diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..6543373 --- /dev/null +++ b/.gitignore @@ -0,0 +1,133 @@ +# Byte-compiled / optimized / DLL files +__pycache__/ +*.py[cod] +*$py.class + +# C extensions +*.so + +# Distribution / packaging +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +pip-wheel-metadata/ +share/python-wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST +.vscode/ + +# PyInstaller +# Usually these files are written by a python script from a template +# before PyInstaller builds the exe, so as to inject date/other infos into it. +*.manifest +*.spec + +# Installer logs +pip-log.txt +pip-delete-this-directory.txt + +# Unit test / coverage reports +htmlcov/ +.tox/ +.nox/ +.coverage +.coverage.* +.cache +nosetests.xml +coverage.xml +*.cover +*.py,cover +.hypothesis/ +.pytest_cache/ + +# Translations +*.mo +*.pot + +# Django stuff: +*.log +local_settings.py +db.sqlite3 +db.sqlite3-journal + +# Flask stuff: +instance/ +.webassets-cache + +# Scrapy stuff: +.scrapy + +# Sphinx documentation +docs/_build/ + +# PyBuilder +target/ + +# Jupyter Notebook +.ipynb_checkpoints + +# IPython +profile_default/ +ipython_config.py + +# pyenv +.python-version + +# pipenv +# According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control. +# However, in case of collaboration, if having platform-specific dependencies or dependencies +# having no cross-platform support, pipenv may install dependencies that don't work, or not +# install all needed dependencies. +#Pipfile.lock + +# PEP 582; used by e.g. github.com/David-OConnor/pyflow +__pypackages__/ + +# Celery stuff +celerybeat-schedule +celerybeat.pid + +# SageMath parsed files +*.sage.py + +# Environments +.env +.venv +env/ +venv/ +ENV/ +env.bak/ +venv.bak/ + +# Spyder project settings +.spyderproject +.spyproject + +# Rope project settings +.ropeproject + +# mkdocs documentation +/site + +# mypy +.mypy_cache/ +.dmypy.json +dmypy.json + +# Pyre type checker +.pyre/ + +# Jupyter Book +_build/ \ No newline at end of file diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml new file mode 100644 index 0000000..ae3fc84 --- /dev/null +++ b/.gitlab-ci.yml @@ -0,0 +1,75 @@ +stages: + - test + - build + - deploy + +variables: + PIP_CACHE_DIR: "$CI_PROJECT_DIR/.cache/pip" + REGISTRY_HOST: localhost:5000 + TAG_LATEST: $REGISTRY_HOST/$CI_PROJECT_NAME/$CI_COMMIT_REF_NAME:latest + TAG_DRAFT: $REGISTRY_HOST/$CI_PROJECT_NAME-draft/$CI_COMMIT_REF_NAME:latest + +cache: + paths: + - .cache/pip + +# This job tests if the book compiles gracefully after a new addition +test-build: + stage: test + image: python:3.11-bullseye + rules: + - if: $CI_PIPELINE_SOURCE == "merge_request_event" + script: + - pip install -r requirements.txt + - jupyter-book clean book/ + - jupyter-book build book/ + +# This job builds the Docker container +build-book: + stage: build + image: docker + rules: + - if: $CI_COMMIT_BRANCH == "publish" && $CI_PIPELINE_SOURCE == "push" + variables: + TAG: $TAG_LATEST + - if: $CI_COMMIT_BRANCH == "main" && $CI_PIPELINE_SOURCE == "push" + variables: + TAG: $TAG_DRAFT + before_script: + - docker info + script: + - if [ "$TAG" = "$TAG_LATEST" ]; then sed --in-place=".bak" '/# START DRAFT/,/# END DRAFT/{//!d}' book/_config.yml; fi + - docker build -t $TAG . + - docker push $TAG + +# This job takes down the existing container and starts the new one +deploy-book: + stage: deploy + image: docker + rules: + - if: $CI_COMMIT_BRANCH == "publish" && $CI_PIPELINE_SOURCE == "push" + before_script: + - docker info + - docker stop $CI_PROJECT_NAME || exit_code=$? + - if [ $exit_code -ne 0 ]; then echo "Container not found, cannot stop"; else docker rm $CI_PROJECT_NAME; fi + script: + - docker run -d --restart always -p 8014:8000 --name $CI_PROJECT_NAME $TAG_LATEST # Make sure to use a different port for each book! + environment: + name: production + url: https://interactivetextbooks.citg.tudelft.nl/$CI_PROJECT_NAME + +# Deploy the draft version of the book +deploy-draft: + stage: deploy + image: docker + rules: + - if: $CI_COMMIT_BRANCH == "main" && $CI_PIPELINE_SOURCE == "push" + before_script: + - docker info + - docker stop $CI_PROJECT_NAME-draft || exit_code=$? + - if [ $exit_code -ne 0 ]; then echo "Container not found, cannot stop"; else docker rm $CI_PROJECT_NAME-draft; fi + script: + - docker run -d --restart always -p 8015:8000 --name $CI_PROJECT_NAME-draft $TAG_DRAFT + environment: + name: draft + url: https://interactivetextbooks.citg.tudelft.nl/$CI_PROJECT_NAME-draft \ No newline at end of file diff --git a/Dockerfile b/Dockerfile new file mode 100644 index 0000000..831eb74 --- /dev/null +++ b/Dockerfile @@ -0,0 +1,9 @@ +FROM continuumio/miniconda3 +WORKDIR /book +COPY book/ . +RUN apt-get update && apt-get -y install git gcc +COPY requirements.txt requirements.txt +RUN pip install -r requirements.txt +RUN jupyter book clean . +RUN jupyter book build . +ENTRYPOINT [ "python", "-m", "http.server", "8000", "--directory", "/book/_build/html"] \ No newline at end of file diff --git a/LICENSE.md b/LICENSE.md new file mode 100644 index 0000000..ba74ac9 --- /dev/null +++ b/LICENSE.md @@ -0,0 +1,3 @@ +This book is licensed under a Creative Commons Attribution 4.0 International License. + +Creative Commons License \ No newline at end of file diff --git a/book/_bibliography/references.bib b/book/_bibliography/references.bib new file mode 100644 index 0000000..09caf27 --- /dev/null +++ b/book/_bibliography/references.bib @@ -0,0 +1,396 @@ +@book{adk2022, + title={Structural and System Reliability}, + author={Der Kiureghian, Armen}, + year={2022}, + publisher={Cambridge University Press} +} + +@article{baecher1982, + author = {Baecher, Gregory B}, + journal = {Engineering Foundations: Updating Subsurface Samplings of Soils and Rocks and their In-Situ Testing, Santa Barbara}, + title = {Statistical methods in site characterization}, + year = {1982}, + pages = {463--492} +} + +@book{baecher2003, + title={Reliability and statistics in geotechnical engineering}, + author={Baecher, Gregory B and Christian, John T}, + year={2003}, + publisher={John Wiley \& Sons} +} + +@misc{baecher2021, + title={IFCEE 2021: Karl Terzaghi Lecture: Greg Baecher: Geotechnical Systems, Uncertainty, and Risk}, + author={Baecher, Gregory B}, + howpublished={Presentation, YouTube: \url{https://www.youtube.com/watch?v=Y5w1p3uAe0I&ab_channel=Geo-InstituteofASCE}}, + year={2021} +} + +@incollection{cardona2012, + title={Determinants of risk: exposure and vulnerability}, + author={Cardona, Omar Dario and Van Aalst, Maarten K and Birkmann, J{\"o}rn and Fordham, Maureen and Mc Gregor, Glenn and Rosa, Perez and Pulwarty, Roger S and Schipper, E Lisa F and Sinh, Bach Tan and D{\'e}camps, Henri and others}, + booktitle={Managing the risks of extreme events and disasters to advance climate change adaptation: special report of the intergovernmental panel on climate change}, + pages={65--108}, + year={2012}, + publisher={Cambridge University Press} +} + +@book{ditlevsen1996, + title={Structural reliability methods}, + author={Ditlevsen, Ove and Madsen, Henrik O}, + volume={178}, + year={1996}, + publisher={Wiley New York} +} + +@article{Eijgenraam2006, + author = {C.J.J. Eijgenraam}, + journal = {CPB discussion paper}, + title = {Optimal safety standards for dike ring areas}, + volume = {62}, + year = {2006}, +} + +@book{moss2020, + title={Applied civil engineering risk analysis}, + author={Moss, Robb Eric S}, + year={2020}, + publisher={Springer} +} + +@article{vandantzig1956, + author = {D. van Dantzig}, + journal = {Econometrica}, + title = {Economic decision problems for flood prevention}, + volume = {24}, + year = {1956} +} + +@article{vnk2014, + author = {{Veiligheid Nederland in Kaart}}, + title = {De veiligheid van Nederland in kaart}, + year = {2014}, + journal = {Rijkswaterstaat}, + url = {https://www.helpdeskwater.nl/publish/pages/131663/eindrapport_vnk.pdf}, +} + +@article{vrijling1990, + author = {Vrijling, J.K. and van Beurden, J.A.}, + journal = {Proceedings of the International Conference on Coastal Engineering}, + title = {Sealevel rise: a probabilistic design problem}, + year = {1990} +} + +@article{vangelder1997, + author = {P.H.A.J.M. Van Gelder and J.K. Vrijling and K.A.H. Slijkhuis}, + journal = {Water for a Changing Global Community}, + pages = {554-559}, + title = {Coping with uncertainty in the economical optimization of a dike design}, + year = {1997}, +} + +@phdthesis{voorendt2017, + title={Design principles of multifunctional flood defences}, + author={Voorendt, Mark}, + school={Delft University of Technology, the Netherlands}, + year={2017} +} + +@misc{sympy_why, + title={Sympy documentation}, + author={{SymPy Development Team}}, + howpublished={\url{https://docs.sympy.org/latest/tutorials/intro-tutorial/intro.html}}, + year={2023} +} + +@misc{jason_moore, + title={Learn Multibody Dynamics, SymPy}, + author={Moore, Jason}, + howpublished={\url{https://moorepants.github.io/learn-multibody-dynamics/sympy.html}}, + year={2023} +} + +@misc{BFG, + title={Animation of the unit circle with angles}, + author={BFG}, + howpublished={\url{https://commons.wikimedia.org/wiki/File:Unitycircle-complex.gif}}, + year={2020} +} + +@article{kaplan1981, + author = {Kaplan, S. and Garrick, B.J.}, + journal = {Risk Analysis}, + pages = {11-27}, + title = {On The Quantitative Definition of Risk}, + year = {1981}, +} + +@inproceedings{farmer1967, + title = {Siting Criteria - A New Approach}, + author = {Farmer, F.R.}, + year = 1967, + month = {April}, + booktitle = {Proceedings of IAEA Symposium on the Containment and Siting of Nuclear Power Plants}, + publisher = {International Atomic Energy Agency (IAEA)}, + address = {Vienna}, + pages = {303-324}, +} + +@book{kendall1977, + title={The Risks of Nuclear Power Reactors, A Review of the NRC Reactor Safety Study WASH-1400 (NUREG-75/014)}, + author={Kendall, H.W. and Hubbard, R.B. and Minor, G.C. and Bryan, W.M. (Union of Concerned Scientists)}, + year={1977}, + publisher={Cambridge} +} + +@article{vlek1996, + author = {Vlek, C.A.J.}, + journal = {Risk Decision and Policy}, + pages = {9-31}, + title = {A multi-level, multi-stage and multi-attribute perspective on risk assessment, decision-making and risk control}, + year = {1996}, +} + +@article{slovic1987, + author = {Slovic, P.}, + journal = {Science}, + pages = {280-285}, + title = {Perception of Risk}, + year = {1987}, +} + +@article{voortman2004, + author = {Voortman, H.G. and Vrijling, J.K.}, + journal = {Heron}, + pages = {75-94}, + title = {Optimal design of flood defence systems in a changing climate}, + year = {2004}, +} + +@article{apostolakis2004, + author = {Apostolakis, G.E.}, + journal = {Risk Analysis}, + pages = {515-520}, + title = {How Useful Is Quantitative Risk Assessment?}, + year = {2004}, +} + +@article{faber2003, +title = {Risk Assessment for Civil Engineering Facilities: Critical Overview and Discussion}, +journal = {Reliability Engineering & System Safety}, +volume = {80}, +number = {2}, +pages = {173-184}, +year = {2003}, +issn = {0951-8320}, +doi = {https://doi.org/10.1016/S0951-8320(03)00027-9}, +url = {https://www.sciencedirect.com/science/article/pii/S0951832003000279}, +author = {Faber, M.H. and Stewart, M.G.}, +} + +@phdthesis{jongejan2008, + title={How safe is safe enough? The government's response to industrial and flood risks}, + author={Jongejan, R.B.}, + school={Delft University of Technology, the Netherlands}, + year={2008} +} + +@misc{CUR1997, + title={Kansen in de Civiele Techniek, Deel 1: Probabilistisch ontwerpen in theorie}, + author={CUR{\ }(Civieltechnisch{\ }Centrum{\ }Uitvoering{\ }Research{\ }en{\ }Regelgeving)}, + howpublished={CUR rapport 190}, + year={1997} +} + +@misc{CIB2001, + title={A framework for risk management and risk communications, Work{\ }Group{\ }32,{\ }CIB}, + author={Vrouwenvelder, T. and Lovegrove, R. and Holicky, M.}, + howpublished={CIB report 259}, + year={2001} +} + +@article{bea1998, + author = {Bea, R.G.}, + journal = {Reliability Engineering & System Safety}, + pages = {109-126}, + title = {Human and Organization Factors: Engineering Operating Safety Into Offshore Structures}, + year = {1998}, +} + +@misc{eurocode2001, + title={Eurocode - Basis of Structural Design}, + author={EN 1990:2002 E, Eurocode}, + howpublished={CEN}, + year={2001} +} + +@book{vrouwenvelder1996, + author = {Vrouwenvelder, A.C.W.M. and Vrijling, J.K}, + title = {Collegedictaat Probabilistisch ontwerpen b3}, + year = {1996}, + publisher={TU Delft} +} + +@article{starr1967, + author = {Starr, C.}, + journal = {Science}, + pages = {1232-1238}, + title = {Social benefit versus technological risk}, + year = {1967}, +} + +@inproceedings{taerwe1986, + title = {Mastering Global Quality by an Interactive Concept}, + author = {Taerwe, L.}, + year = 1986, + booktitle = {Proceedings IABSE Symposium Tokyo 1986: Safety and Quality Assurance of Civil Engineering Structures}, + pages = {317-325}, +} + +@book{raiffa1961, + author = {Raiffa, H. and Schlaifer, R.}, + title = {Applied Statistical Decision Theory}, + year = {1961}, + publisher={Harvard University press}, + address = {Cambridge, Massachusetts, United States}, +} + +@book{benjamin1970, + author = {Benjamin, J.R. and Cornell, C.A.}, + title = {Probability, Statistics and Decision for Civil Engineers}, + year = {1970}, + publisher={McGraw Hill}, +} + +@inproceedings{don2003, + author = {Don, F.H. and Stolwijk, H.J.J.}, + booktitle = {CUR (2003) 50 jaar na stormvloed 1953, terugblik en toekomst}, + title = {Investeren in veiligheid: de watersnoodramp van 1953 en de kosten en baten van het deltaplan}, + pages={79-98}, + year = {2003}, + howpublished={CUR rapport 212}, +} + +@inproceedings{vrijling2000, + title={An Analysis of the Valuation of a Human Life}, + author={Vrijling, J.K. and Gelder, P.H.A.J.M. van}, + booktitle={Foresight and Precaution: Proceedings of ESREL 2000, SARS and SRA-Europe Annual Conference. Edited by M.P. Cottam, D.W. Harvey, R.P. Pape and J. Tait}, + pages={197-200}, + volume={1}, + year={2000}, + address={Edinburgh, Scotland} +} + +@article{jongejan2005, + author = {Jongejan, R.B. and Jonkman, S.N. and Vrijling, J.K.}, + journal = {ESREL}, + title = {Methods for the Valuation of Human Life}, + year = {2005}, +} + +@misc{SWOV2012, + title={Waardering van immateriële kosten van verkeersdoden}, + author={SWOV{\ }(Stichting{\ }Wetenschappelijk{\ }Onderzoek{\ }Verkeersveiligheid)}, + howpublished={Factsheet, \url{http://www.swov.nl/rapport/Factsheets/NL/Factsheet_Immateriele_kosten.pdf}}, + year={2012}, +} + +@inproceedings{jeuken2013, +author = {Jeuken, A. and Kind, J. and Slootjes, N. and Gauderis, J. and Vos, R.}, +year = {2013}, +month = {01}, +pages = {}, +title = {Cost-benefit Analysis of Flood Risk Management Strategies for the Rhine-Meuse Delta}, +booktitle = {Comprehensive Flood Risk Management, Taylor & Francis Group}, +} + +@article{tengs1995, + author = {Tengs, T.O. and Adams, M.E. and Pliskin, J.S. and Gelb Safran, D. and Siegel, J.E. and Weinstein, M.C. and Graham, J.D.}, + journal = {Risk Analysis}, + volume={15}, + number={3}, + pages={369-390}, + title = {Five-hundred Live Saving Interventions and Their Cost Effectiveness}, + year = {1995}, +} + +@misc{TAW1985, + title={Some Considerations of an Acceptable Level of Risk in the Netherlands}, + author={TAW{\ }(Technical{\ }Advisory{\ }Committee{\ }on{\ }Water{\ }Defences)}, + howpublished={Report by TAW workgroup 10 'Probabilistic methods'}, + year={1985}, +} + +@article{vrijling1995, + author = {Vrijling, J.K. and Hengel, W. van and Houben, R.J.}, + journal = {Journal of Hazardous Materials}, + volume={43}, + pages = {245-261}, + title = {A Framework for Risk Evaluation}, + year = {1995}, +} + +@article{vrijling1998, + author = {Vrijling, J.K. and Hengel, W. van and Houben, R.J.}, + journal = {Reliability Engineering and System Safety}, + volume={59}, + pages = {141-150}, + title = {Acceptable Risk as a Basis for Design}, + year = {1998}, +} + +@article{jonkman2003, + author = {Jonkman, S.N. and van Gelder, P.H.A.J.M. and Vrijling, J.K.}, + journal = {Journal of Hazardous Materials}, + volume={A99}, + pages = {1-30}, + title = {An Overview of Quantitative Risk Measures for Loss of Life and Economic Damage}, + year = {2003}, +} + +@article{bottelberghs2000, + author = {Bottelberghs, P.H.}, + journal = {Journal of Hazardous Materials}, + volume={71}, + pages = {117-123}, + title = {Risk Analysis and Safety Policy Developments in the Netherlands}, + year = {2000}, +} + +@article{vrijling2001, +title = {Probabilistic Design of Water Defense Systems in The Netherlands}, +journal = {Reliability Engineering & System Safety}, +volume = {74}, +number = {3}, +pages = {337-344}, +year = {2001}, +issn = {0951-8320}, +doi = {https://doi.org/10.1016/S0951-8320(01)00082-5}, +url = {https://www.sciencedirect.com/science/article/pii/S0951832001000825}, +author = {Vrijling, J.K.}, +} + +@misc{delta2014, + title={Deltaprogramma Veiligheid. Synthesedocument Veiligheid}, + author={Deltaprogramma}, + howpublished={Achtergronddocument B1}, + year={2014} +} + +@article{sitar1987, +title = {First-order Reliability Approach to Stochastic Analysis of Subsurface Flow and Contaminant Transport}, +journal = {Water Resources Research}, +volume = {23}, +number = {5}, +pages = {794-804}, +year = {1987}, +author = {Sitar, N. and Cawlfield, J. D. and Der Kiureghian, A.}, +} + +@misc{usace14, + title={Safety and Health Requirements Manual}, + author={U.S.{\ }Army{\ }Corps{\ }of{\ }Engineers}, + howpublished={EM 385-1-1}, + year={2014} +} \ No newline at end of file diff --git a/book/_config.yml b/book/_config.yml new file mode 100644 index 0000000..10cecbf --- /dev/null +++ b/book/_config.yml @@ -0,0 +1,61 @@ +title: Risk and Reliability for Engineers +author: Robert Lanzafame +logo: figures/cover_small.png +copyright: Delft University of Technology, CC BY 4.0 # overriden by extra footer/sphinx config + +execute: + execute_notebooks: "off" + +launch_buttons: + thebe: true + +only_build_toc_files: true + +repository: + url: https://gitlab.tudelft.nl/interactivetextbooks-citg/risk-and-reliability/ + branch: main/book # for edit button; need to check branch permissions non-TUD user access + +html: +# X START DRAFT # temporarily enable Hypothesis for published book until Library finishes + comments: + hypothesis: true +# X END DRAFT + use_edit_page_button: false + use_repository_button: true + extra_footer: | +

+ © Delft University of Technology, CC BY 4.0 + + + Creative Commons License + +

+ +sphinx: + config: + html_show_copyright: false + html_js_files: + - https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.4/require.min.js + thebe_config: + use_thebe_lite: true + exclude_patterns: ["**/_*.yml", "**/*.md", "**/*.ipynb"] + # Reference issues + # See: https://github.com/executablebooks/jupyter-book/issues/1090 + # and Milestone 10: + # https://gitlab.tudelft.nl/groups/interactivetextbooks-citg/-/milestones/10#tab-issues + # This next line was from Caspar/citg-jb-stack and doesn't work (see Issue 24) + # https://gitlab.tudelft.nl/interactivetextbooks-citg/risk-and-reliability/-/issues/24 + # bibtex_reference_style: author_year + bibtex_reference_style: author_year_round + bibtex_default_style: myapastyle + extra_extensions: + - sphinx.ext.imgconverter + - download_link_replacer + - jupyterbook_patches + # Local extensions are for bibtex (Thirza's hydrology hack); see above + local_extensions: + apastyle: _ext/ + bracket_citation_style: _ext/ + +bibtex_bibfiles: + - _bibliography/references.bib diff --git a/book/_ext/apastyle.py b/book/_ext/apastyle.py new file mode 100644 index 0000000..16828fe --- /dev/null +++ b/book/_ext/apastyle.py @@ -0,0 +1,17 @@ + +# from pybtex.style.formatting.unsrt import Style +from pybtexapastyle.formatting.apa import APAStyle +from pybtexapastyle.labels.apa import LabelStyle as APALabelStyle +from pybtex.plugin import register_plugin +# from pybtex.style.template import names, sentence + +class MyAPALabelStyle(APALabelStyle): + def format_label(self, entry): + return APALabelStyle.format_label(self, entry) + +class MyAPAStyle(APAStyle): + default_label_style = 'myapa' + +def setup(app): + register_plugin('pybtex.style.labels', 'myapa', MyAPALabelStyle) + register_plugin('pybtex.style.formatting', 'myapastyle', MyAPAStyle) \ No newline at end of file diff --git a/book/_ext/bracket_citation_style.py b/book/_ext/bracket_citation_style.py new file mode 100644 index 0000000..cab10f3 --- /dev/null +++ b/book/_ext/bracket_citation_style.py @@ -0,0 +1,27 @@ +from dataclasses import dataclass, field +import sphinxcontrib.bibtex.plugin + +from sphinxcontrib.bibtex.style.referencing import BracketStyle +from sphinxcontrib.bibtex.style.referencing.author_year import AuthorYearReferenceStyle + + +def bracket_style() -> BracketStyle: + return BracketStyle( + left='(', + right=')', + ) + + +@dataclass +class MyReferenceStyle(AuthorYearReferenceStyle): + bracket_parenthetical: BracketStyle = field(default_factory=bracket_style) + bracket_textual: BracketStyle = field(default_factory=bracket_style) + bracket_author: BracketStyle = field(default_factory=bracket_style) + bracket_label: BracketStyle = field(default_factory=bracket_style) + bracket_year: BracketStyle = field(default_factory=bracket_style) + + +def setup(app): + sphinxcontrib.bibtex.plugin.register_plugin( + 'sphinxcontrib.bibtex.style.referencing', + 'author_year_round', MyReferenceStyle) \ No newline at end of file diff --git a/book/_ext/pybtexapastyle/.gitignore b/book/_ext/pybtexapastyle/.gitignore new file mode 100644 index 0000000..49d0093 --- /dev/null +++ b/book/_ext/pybtexapastyle/.gitignore @@ -0,0 +1,114 @@ + +# Created by https://www.gitignore.io/api/python + +### Python ### +# Byte-compiled / optimized / DLL files +__pycache__/ +*.py[cod] +*$py.class + +# C extensions +*.so + +# Distribution / packaging +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST + +# PyInstaller +# Usually these files are written by a python script from a template +# before PyInstaller builds the exe, so as to inject date/other infos into it. +*.manifest +*.spec + +# Installer logs +pip-log.txt +pip-delete-this-directory.txt + +# Unit test / coverage reports +htmlcov/ +.tox/ +.coverage +.coverage.* +.cache +nosetests.xml +coverage.xml +*.cover +.hypothesis/ +.pytest_cache/ + +# Translations +*.mo +*.pot + +# Django stuff: +*.log +local_settings.py +db.sqlite3 + +# Flask stuff: +instance/ +.webassets-cache + +# Scrapy stuff: +.scrapy + +# Sphinx documentation +docs/_build/ + +# PyBuilder +target/ + +# Jupyter Notebook +.ipynb_checkpoints + +# pyenv +.python-version + +# celery beat schedule file +celerybeat-schedule + +# SageMath parsed files +*.sage.py + +# Environments +.env +.venv +env/ +venv/ +ENV/ +env.bak/ +venv.bak/ + +# Spyder project settings +.spyderproject +.spyproject + +# Rope project settings +.ropeproject + +# mkdocs documentation +/site + +# mypy +.mypy_cache/ + +### Python Patch ### +.venv/ + + +# End of https://www.gitignore.io/api/python \ No newline at end of file diff --git a/book/_ext/pybtexapastyle/LICENSE b/book/_ext/pybtexapastyle/LICENSE new file mode 100644 index 0000000..579d367 --- /dev/null +++ b/book/_ext/pybtexapastyle/LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2018 Naeka + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. \ No newline at end of file diff --git a/book/_ext/pybtexapastyle/formatting/__init__.py b/book/_ext/pybtexapastyle/formatting/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/book/_ext/pybtexapastyle/formatting/apa.py b/book/_ext/pybtexapastyle/formatting/apa.py new file mode 100644 index 0000000..dfa5a58 --- /dev/null +++ b/book/_ext/pybtexapastyle/formatting/apa.py @@ -0,0 +1,486 @@ +# -*- coding:Utf-8 -*- +from __future__ import unicode_literals + +import re +import six + +from pybtex.plugin import find_plugin +from pybtex.style.formatting import BaseStyle, toplevel +from pybtex.style.template import ( + field, first_of, href, join, optional, optional_field, sentence, tag, + together, words, node, FieldIsMissing +) + +from pybtex.richtext import Text, Symbol + + +firstlast = find_plugin('pybtex.style.names', 'lastfirst')() + +if six.PY2: + def format_pages(text): + dash_re = re.compile(r'-+') + pages = Text(Symbol('ndash')).join( + re.split(dash_re, six.text_type(text))) + if re.search('[-‒–—―]', six.text_type(text)): + return Text("pp.", Symbol('nbsp'), pages) + return Text("p.", Symbol('nbsp'), pages) +else: + def format_pages(text): + dash_re = re.compile(r'-+') + pages = Text(Symbol('ndash')).join(text.split(dash_re)) + if re.search('[-‒–—―]', str(text)): + return Text("pp.", Symbol('nbsp'), pages) + return Text("p.", Symbol('nbsp'), pages) + + +pages = field('pages', apply_func=format_pages) +date = words[field('year'), optional[", ", field('month')]] + + +@node +def apa_names(children, context, role, **kwargs): + """ + Returns formatted names as an APA compliant reference list citation. + """ + assert not children + + try: + persons = context['entry'].persons[role] + except KeyError: + raise FieldIsMissing(role, context['entry']) + + style = context['style'] + + if len(persons) > 7: + persons = persons[:6] + persons[-1:] + formatted_names = [style.format_name( + person, style.abbreviate_names) for person in persons] + return join(sep=', ', last_sep=', … ')[ + formatted_names].format_data(context) + else: + formatted_names = [style.format_name( + person, style.abbreviate_names) for person in persons] + return join(sep=', ', sep2=', & ', last_sep=', & ')[ + formatted_names].format_data(context) + + +@node +def editor_names(children, context, with_suffix=True, **kwargs): + """ + Returns formatted editor names for inbook. + """ + assert not children + + try: + editors = context['entry'].persons['editor'] + except KeyError: + raise FieldIsMissing('editor', context['entry']) + + formatted_names = [ + firstlast.format(editor, True) for editor in editors] + + if with_suffix: + return words[ + join(sep=', ', sep2=', & ', last_sep=', & ')[formatted_names], + "(Eds.)" if len(editors) > 1 else "(Ed.)" + ].format_data(context) + + return join(sep=', ', sep2=', & ', last_sep=', & ')[ + formatted_names + ].format_data(context) + + +class APAStyle(BaseStyle): + name = 'apa' + default_name_style = 'lastfirst' + default_sorting_style = 'author_year_title' + default_label_style = 'apa' + + def __init__(self, *args, **kwargs): + super(APAStyle, self).__init__(*args, **kwargs) + self.abbreviate_names = True + + def format_names(self, role, as_sentence=True): + formatted_names = apa_names(role) + if as_sentence: + return sentence(capfirst=False)[formatted_names] + else: + return formatted_names + + def format_author_or_editor_and_date(self, e): + if 'author' in e.persons and 'editor' in e.persons: + return sentence(sep=' ')[ + self.format_names('author'), join["(", date, ")."], + self.format_editor(e, as_sentence=False)] + elif 'author' in e.persons: + return sentence(sep=' ')[ + self.format_names('author'), join["(", date, ")"]] + else: + return sentence(sep=' ')[ + self.format_editor(e, as_sentence=False), + join["(", date, ")"]] + + def format_editor(self, e, as_sentence=True): + editors = self.format_names('editor', as_sentence=False) + if 'editor' not in e.persons: + # when parsing the template, a FieldIsMissing exception + # will be thrown anyway; no need to do anything now, + # just return the template that will throw the exception + return editors + if len(e.persons['editor']) > 1: + word = '(Eds.)' + else: + word = '(Ed.)' + result = join(sep=' ')[editors, word] + if as_sentence: + return sentence[result] + else: + return result + + def format_volume(self, e, for_article=False): + prefix = "Vol." + if for_article: + return join[ + tag('em')[field('volume')], + optional['(', field('number'), ')'], + ] + else: + return optional[together[prefix, field('volume')]] + + def format_title(self, e, which_field, as_sentence=True): + formatted_title = field( + which_field, apply_func=lambda text: text.capitalize() + ) + if as_sentence: + return sentence[formatted_title] + else: + return formatted_title + + def format_btitle(self, e, which_field, as_sentence=True): + formatted_title = tag('em')[field(which_field)] + if as_sentence: + return sentence[formatted_title] + else: + return formatted_title + + def format_web_refs(self, e): + # Based on urlbst output.web.refs + return sentence(add_period=False)[ + optional[self.format_url(e)], + optional[self.format_eprint(e)], + optional[self.format_pubmed(e)], + optional[self.format_doi(e)], + ] + + def format_url(self, e): + # Based on urlbst format.url + return words[ + 'URL:', + href[ + field('url', raw=True), + field('url', raw=True) + ] + ] + + def format_pubmed(self, e): + # Based on urlbst format.pubmed + return href[ + join[ + 'https://www.ncbi.nlm.nih.gov/pubmed/', + field('pubmed', raw=True) + ], + join[ + 'PMID:', + field('pubmed', raw=True) + ] + ] + + def format_doi(self, e): + # Based on urlbst format.doi + return href[ + join[ + 'https://doi.org/', + field('doi', raw=True) + ], + join[ + 'doi:', + field('doi', raw=True) + ] + ] + + def format_eprint(self, e): + # Based on urlbst format.eprint + return href[ + join[ + 'https://arxiv.org/abs/', + field('eprint', raw=True) + ], + join[ + 'arXiv:', + field('eprint', raw=True) + ] + ] + + def get_article_template(self, e): + # Required fields: author, title, journal, year + # Optional fields: volume, number, pages, month, note, key + volume_and_pages = first_of[ + # Volume and pages, with optional issue number + optional[ + join[ + self.format_volume(e, for_article=True), + optional[', ', field('pages')] + ], + ], + # Pages only + pages, + ] + template = toplevel[ + self.format_names('author'), + sentence[ + join["(", date, ")"] + ], + self.format_title(e, 'title'), + sentence[ + tag('em')[field('journal')], + optional[volume_and_pages], + ], + sentence[optional_field('note')], + self.format_web_refs(e), + ] + return template + + def get_book_template(self, e): + # Required fields: author/editor, title, publisher, year + # Optional fields: volume, series, address, edition, month, note, key, + # isbn + return toplevel[ + self.format_author_or_editor_and_date(e), + sentence(sep=' ')[ + self.format_btitle(e, 'title'), + optional[ + sentence[ + optional[field('edition'), ' ed.'], + self.format_volume(e), + ] + ] + ], + sentence(sep=': ')[ + optional_field('address'), + field('publisher'), + ], + sentence[optional_field('note')], + ] + + def get_booklet_template(self, e): + # Required fields: title + # Optional fields: author, howpublished, address, month, year, note, + # key + return toplevel[ + sentence(sep=' ')[ + first_of[ + optional[self.format_names( + 'author', as_sentence=False)], + "None to claim their bones" + ], + join["(", first_of[optional[date], "n.d."], ")"] + ], + self.format_title(e, 'title'), + sentence[optional_field('address')], + sentence[optional_field('note')], + ] + + def get_inbook_template(self, e): + # Required fields: author/editor, title, chapter/pages, publisher, year + # Optional fields: volume, series, address, edition, month, note, key + return toplevel[ + sentence(sep=' ')[ + self.format_names('author'), + join["(", date, ")"] + ], + self.format_title(e, 'title'), + sentence(sep=' ')[ + optional[ + "In ", + editor_names(), + "," + ], + self.format_btitle(e, 'booktitle', as_sentence=False), + optional[ + join[ + "(", + sentence(add_period=False)[ + optional[field('edition'), ' ed.'], + self.format_volume(e), + pages, + ], + ")" + ] + ] + ], + sentence(sep=': ')[ + optional_field('address'), + field('publisher'), + ], + sentence[optional_field('note')], + ] + + def get_incollection_template(self, e): + # Required fields: author, title, booktitle, year + # Optional fields: editor, pages, organization, publisher, address, + # month, note, key + return toplevel[ + self.format_author_or_editor_and_date(e), + self.format_title(e, 'title'), + sentence(sep=' ')[ + self.format_btitle(e, 'booktitle', as_sentence=False), + optional["(", pages, ")"] + ], + sentence(sep=': ')[ + optional_field('address'), + optional_field('publisher'), + ], + sentence[optional_field('note')], + ] + + def get_inproceedings_template(self, e): + # Required fields: author, title, booktitle, year + # Optional fields: editor, pages, organization, publisher, address, + # month, note, key + return toplevel[ + self.format_author_or_editor_and_date(e), + self.format_title(e, 'title'), + sentence(sep=' ')[ + self.format_btitle(e, 'booktitle', as_sentence=False), + optional["(", pages, ")"] + ], + sentence(sep=': ')[ + optional_field('address'), + optional_field('publisher'), + ], + sentence[optional_field('note')], + self.format_web_refs(e) + ] + + def get_manual_template(self, e): + # Required fields: title + # Optional fields: author, organization, address, edition, month, year, + # note, key + return toplevel[ + sentence(sep=' ')[ + first_of[ + optional[self.format_names('author', as_sentence=False)], + optional_field('organization'), + "None to claim their bones" + ], + join["(", first_of[optional[date], "n.d."], ")"] + ], + self.format_btitle(e, 'title'), + sentence[optional_field('address')], + sentence[optional_field('note')], + self.format_web_refs(e) + ] + + def get_mastersthesis_template(self, e): + # Required fields: author, title, school, year + # Optional fields: address, month, note, key + return toplevel[ + sentence(sep=' ')[ + self.format_names('author'), + join["(", date, ")"] + ], + sentence(sep=' ')[ + self.format_btitle(e, 'title', as_sentence=False), + "(Master's thesis)" + ], + sentence[ + field('school'), + optional_field('address'), + ], + sentence[optional_field('note')], + ] + + def get_misc_template(self, e): + # Required fields: aucun + # Optional fields: author, title, howpublished, month, year, note, key, + # type + template = toplevel[ + sentence(sep=' ')[ + first_of[ + optional[self.format_names('author', as_sentence=False)], + optional_field('publisher'), + "None to claim their bones" + ], + join["(", first_of[optional[date], "n.d."], ")"] + ], + optional[self.format_title(e, 'title')], + sentence[optional_field('note')], + self.format_web_refs(e) + ] + return template + + def get_phdthesis_template(self, e): + # Required fields: author, title, school, year + # Optional fields: address, month, note, key + return toplevel[ + sentence(sep=' ')[ + self.format_names('author'), + join["(", date, ")"] + ], + sentence(sep=' ')[ + self.format_btitle(e, 'title', as_sentence=False), + "(Doctoral dissertation)" + ], + sentence[ + field('school'), + optional_field('address'), + ], + sentence[optional_field('note')], + ] + + def get_proceedings_template(self, e): + # Required fields: title, year + # Optional fields: editor, publisher, organization, address, month, + # note, key + return toplevel[ + sentence(sep=' ')[ + first_of[ + optional[self.format_editor(e, as_sentence=False)], + optional_field('organization'), + "None to claim their bones" + ], + join["(", first_of[optional[date], "n.d."], ")"] + ], + self.format_btitle(e, 'title'), + sentence(sep=': ')[ + optional_field('address'), + optional_field('publisher'), + ], + sentence[optional_field('note')], + ] + + def get_techreport_template(self, e): + # Required fields: author, title, institution, year + # Optional fields: type, number, address, month, note, key + return toplevel[ + sentence(sep=' ')[ + self.format_names('author', as_sentence=False), + join["(", date, ")"] + ], + self.format_btitle(e, 'title'), + sentence[field('institution')], + sentence[optional_field('note')], + ] + + def get_unpublished_template(self, e): + # Required fields: author, title, note + # Optional fields: month, year, key + template = toplevel[ + sentence(sep=' ')[ + self.format_names('author', as_sentence=False), + join["(", first_of[optional[date], "n.d."], ")"] + ], + self.format_btitle(e, 'title'), + sentence[field('note')], + ] + return template diff --git a/book/_ext/pybtexapastyle/formatting/pybtex/style/formatting/__init__.py b/book/_ext/pybtexapastyle/formatting/pybtex/style/formatting/__init__.py new file mode 100644 index 0000000..5ac42b8 --- /dev/null +++ b/book/_ext/pybtexapastyle/formatting/pybtex/style/formatting/__init__.py @@ -0,0 +1,69 @@ +from __future__ import unicode_literals + +from pybtex.style import FormattedEntry, FormattedBibliography +from pybtex.style.template import node, join +from pybtex.richtext import Symbol +from pybtex.plugin import Plugin, find_plugin + + +@node +def toplevel(children, data): + return join(sep=Symbol('newblock')) [children].format_data(data) + + +class BaseStyle(Plugin): + """ + The base class for pythonic formatting styles. + """ + + default_name_style = None + default_label_style = None + default_sorting_style = None + + def __init__(self, label_style=None, name_style=None, sorting_style=None, abbreviate_names=False, min_crossrefs=2, **kwargs): + self.name_style = find_plugin('pybtex.style.names', name_style or self.default_name_style)() + self.label_style = find_plugin('pybtex.style.labels', label_style or self.default_label_style)() + self.sorting_style = find_plugin('pybtex.style.sorting', sorting_style or self.default_sorting_style)() + self.format_name = self.name_style.format + self.format_labels = self.label_style.format_labels + self.sort = self.sorting_style.sort + self.abbreviate_names = abbreviate_names + self.min_crossrefs = min_crossrefs + + def format_entries(self, entries, bib_data=None): + sorted_entries = self.sort(entries) + labels = self.format_labels(sorted_entries) + for label, entry in zip(labels, sorted_entries): + yield self.format_entry(label, entry, bib_data=bib_data) + + def format_entry(self, label, entry, bib_data=None): + context = { + 'entry': entry, + 'style': self, + 'bib_data': bib_data, + } + try: + get_template = getattr(self, 'get_{}_template'.format(entry.type)) + except AttributeError: + format_method = getattr(self, "format_" + entry.type) + text = format_method(context) + else: + text = get_template(entry).format_data(context) + return FormattedEntry(entry.key, text, label) + + def format_bibliography(self, bib_data, citations=None): + """ + Format bibliography entries with the given keys and return a + ``FormattedBibliography`` object. + + :param bib_data: A :py:class:`pybtex.database.BibliographyData` object. + :param citations: A list of citation keys. + """ + + if citations is None: + citations = list(bib_data.entries.keys()) + citations = bib_data.add_extra_citations(citations, self.min_crossrefs) + entries = [bib_data.entries[key] for key in citations] + formatted_entries = self.format_entries(entries) + formatted_bibliography = FormattedBibliography(formatted_entries, style=self, preamble=bib_data.preamble) + return formatted_bibliography diff --git a/book/_ext/pybtexapastyle/formatting/pybtex/style/sorting/__init__.py b/book/_ext/pybtexapastyle/formatting/pybtex/style/sorting/__init__.py new file mode 100644 index 0000000..3430087 --- /dev/null +++ b/book/_ext/pybtexapastyle/formatting/pybtex/style/sorting/__init__.py @@ -0,0 +1,12 @@ +from __future__ import unicode_literals + + +from pybtex.plugin import Plugin + + +class BaseSortingStyle(Plugin): + def sorting_key(self, entry): + raise NotImplementedError + + def sort(self, entries): + return sorted(entries, key=self.sorting_key) \ No newline at end of file diff --git a/book/_ext/pybtexapastyle/formatting/pybtex/style/sorting/author_year_title.py b/book/_ext/pybtexapastyle/formatting/pybtex/style/sorting/author_year_title.py new file mode 100644 index 0000000..c315c0c --- /dev/null +++ b/book/_ext/pybtexapastyle/formatting/pybtex/style/sorting/author_year_title.py @@ -0,0 +1,39 @@ +from __future__ import unicode_literals + +from pybtex.style.sorting import BaseSortingStyle + +class SortingStyle(BaseSortingStyle): + + def sorting_key(self, entry): + if entry.type in ('book', 'inbook'): + author_key = self.author_editor_key(entry) + elif 'author' in entry.persons: + author_key = self.persons_key(entry.persons['author']) + else: + author_key = '' + return (author_key, entry.fields.get('year', ''), entry.fields.get('title', '')) + + def persons_key(self, persons): + return ' '.join(self.person_key(person) for person in persons) + + def person_key(self, person): + if person.prelast_names[0] != '{' and person.last_names[0] != '{' and person.first_names[0] != '{': + return ' '.join(( + ' '.join(person.prelast_names + person.last_names), + ' '.join(person.first_names + person.middle_names), + ' '.join(person.lineage_names), + )).lower() + else: + return ' '.join(( + ' '.join(person.first_names + person.middle_names), + ' '.join(person.prelast_names + person.last_names), + ' '.join(person.lineage_names), + )).lower() + + def author_editor_key(self, entry): + if entry.persons.get('author'): + return self.persons_key(entry.persons['author']) + elif entry.persons.get('editor'): + return self.persons_key(entry.persons['editor']) + else: + return '' diff --git a/book/_ext/pybtexapastyle/labels/__init__.py b/book/_ext/pybtexapastyle/labels/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/book/_ext/pybtexapastyle/labels/apa.py b/book/_ext/pybtexapastyle/labels/apa.py new file mode 100644 index 0000000..59176f3 --- /dev/null +++ b/book/_ext/pybtexapastyle/labels/apa.py @@ -0,0 +1,67 @@ +# -*- coding:Utf-8 -*- +from __future__ import unicode_literals + +from collections import Counter +import re +import unicodedata + +from pybtex.style.labels import BaseLabelStyle + + +_nonalnum_pattern = re.compile('[^A-Za-z0-9 \-]+', re.UNICODE) + + +def _strip_accents(s): + return "".join( + (c for c in unicodedata.normalize('NFD', s) + if not unicodedata.combining(c))) + + +def _strip_nonalnum(parts): + """Strip all non-alphanumerical characters from a list of strings. + + >>> print(_strip_nonalnum([u"ÅA. B. Testing 12+}[.@~_", u" 3%"])) + AABTesting123 + """ + s = "".join(parts) + return _nonalnum_pattern.sub("", _strip_accents(s)) + + +class LabelStyle(BaseLabelStyle): + def format_labels(self, sorted_entries): + labels = [self.format_label(entry) for entry in sorted_entries] + count = Counter(labels) + counted = Counter() + for label in labels: + if count[label] == 1: + yield label + else: + yield label # + chr(ord('a') + counted[label]) + # counted.update([label]) + + def format_label(self, entry): + label = "Anonymous" + if 'author' in entry.persons: + label = self.format_author_or_editor_names(entry.persons['author']) + elif 'editor' in entry.persons: + label = self.format_author_or_editor_names(entry.persons['editor']) + elif 'organization' in entry.fields: + label = entry.fields['organization'] + if label.startswith("The "): + label = label[4:] + return '' + # if 'year' in entry.fields: + # return "{}, {}".format(label, entry.fields['year']) + # else: + # return "{}, n.d.".format(label) + + def format_author_or_editor_names(self, persons): + if len(persons) is 1: + return _strip_nonalnum(persons[0].last_names) + elif len(persons) is 2: + return "{} & {}".format( + _strip_nonalnum(persons[0].last_names), + _strip_nonalnum(persons[1].last_names)) + else: + return "{} et al.".format( + _strip_nonalnum(persons[0].last_names)) diff --git a/book/_ext/pybtexapastyle/names/__init__.py b/book/_ext/pybtexapastyle/names/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/book/_ext/pybtexapastyle/names/firstlast.py b/book/_ext/pybtexapastyle/names/firstlast.py new file mode 100644 index 0000000..8f23263 --- /dev/null +++ b/book/_ext/pybtexapastyle/names/firstlast.py @@ -0,0 +1,39 @@ +# -*- coding:Utf-8 -*- +from __future__ import unicode_literals + +from pybtex.style.names import BaseNameStyle, name_part +from pybtex.style.template import join + + +class NameStyle(BaseNameStyle): + + def format(self, person, abbr=False): + r""" + Format names similarly to {vv~}{ll}{, jj}{, f.} in BibTeX. + + >>> from pybtex.database import Person + >>> name = Person(string=r"Charles Louis Xavier Joseph de la Vall{\'e}e Poussin") + >>> firstlast = NameStyle().format + + >>> print(firstlast(name).format().render_as('latex')) + Charles Louis Xavier~Joseph de~la Vall{é}e~Poussin + >>> print(firstlast(name).format().render_as('html')) + Charles Louis Xavier Joseph de la Vallée Poussin + + >>> print(firstlast(name, abbr=True).format().render_as('latex')) + C.~L. X.~J. de~la Vall{é}e~Poussin + >>> print(firstlast(name, abbr=True).format().render_as('html')) + C. L. X. J. de la Vallée Poussin + + >>> name = Person(first='First', last='Last', middle='Middle') + >>> print(firstlast(name).format().render_as('latex')) + First~Middle Last + >>> print(firstlast(name, abbr=True).format().render_as('latex')) + F.~M. Last + + """ + return join[ + name_part(abbr=abbr)[person.rich_first_names + person.rich_middle_names], + name_part(before=' ')[person.rich_prelast_names], + name_part(before=' ')[person.rich_last_names], + ] diff --git a/book/_ext/pybtexapastyle/setup.py b/book/_ext/pybtexapastyle/setup.py new file mode 100644 index 0000000..a62d122 --- /dev/null +++ b/book/_ext/pybtexapastyle/setup.py @@ -0,0 +1,27 @@ +import setuptools + + +setuptools.setup( + name='pybtex-apa-style', + version='1.3', + author='Naeka', + author_email='contact@naeka.fr', + description='Pybtex APA-like style', + url='https://github.com/naeka/pybtex-apa-style', + py_modules=['formatting.apa', 'labels.apa', 'names.firstlast'], + entry_points={ + 'pybtex.style.formatting': 'apa = formatting.apa:APAStyle', + 'pybtex.style.labels': 'apa = labels.apa:LabelStyle', + 'pybtex.style.names': 'firstlast = names.firstlast:NameStyle', + }, + classifiers=( + 'Operating System :: OS Independent', + 'Programming Language :: Python', + 'Programming Language :: Python :: 2.7', + 'Programming Language :: Python :: 3', + 'License :: OSI Approved :: MIT License', + 'Operating System :: OS Independent', + 'Topic :: Text Processing :: Markup', + 'Topic :: Utilities', + ), +) diff --git a/book/_toc.yml b/book/_toc.yml new file mode 100644 index 0000000..6421203 --- /dev/null +++ b/book/_toc.yml @@ -0,0 +1,46 @@ +format: jb-book +root: intro.md +parts: + - caption: Contents + chapters: + - file: prob-design/overview.md + sections: + - file: prob-design/01-one-random-variable.md + - file: prob-design/02-two-random-variables.md + # - file: prob-design/example-river-system.md + - file: risk-analysis/overview.md + sections: + - file: risk-analysis/definition.md + - file: risk-analysis/steps.md + - file: risk-analysis/risk-curves.md + - file: reliability-component/overview.md + sections: + - file: reliability-component/contamination.ipynb + # sections: + # - file: reliability-component/case-two-loads.md + # - file: reliability-component/case-r-s.md + - file: reliability-system/overview.md + sections: + # - file: reliability-system/system-series.md + # - file: reliability-system/system-parallel.md + - file: reliability-system/exercise-simple-city.md + - file: risk-evaluation/overview.md + sections: + - file: risk-evaluation/decision.md + - file: risk-evaluation/cost-benefit.md + - file: risk-evaluation/econ-optimization.md + - file: risk-evaluation/example-dike-height.md + - file: risk-evaluation/safety-standards.md + - file: exercises/overview.md + sections: + - file: exercises/exercise-fn-curve.md + - file: exercises/exercise-paint.md + - file: exercises/exercise-dam.md + - file: exercises/exercise-sample-exam.md + # - file: notebooks/overview.md + # sections: + # - file: notebooks/flood-risk/Exercise_Flood_Risk_Render.ipynb + # - file: notebooks/contamination/Exercise_Contamination_Render.ipynb + # - file: notebooks/traffic/Exercise_Traffic_Render.ipynb + - file: references.md + - file: credits.md \ No newline at end of file diff --git a/book/code/cosinewave.py b/book/code/cosinewave.py new file mode 100644 index 0000000..744c2fe --- /dev/null +++ b/book/code/cosinewave.py @@ -0,0 +1,12 @@ +import numpy as np +import matplotlib.pyplot as plt + +x = np.linspace(0, 2*np.pi, endpoint=True) +y = np.cos(x) + +plt.figure() +plt.plot(x, y) +plt.title('$y=\cos(x)$') +plt.xlabel('$x$') +plt.ylabel('$y$') +plt.savefig('cosinewave.svg') \ No newline at end of file diff --git a/book/code/ex_FN_curve_step_01.py b/book/code/ex_FN_curve_step_01.py new file mode 100644 index 0000000..efc3ade --- /dev/null +++ b/book/code/ex_FN_curve_step_01.py @@ -0,0 +1,38 @@ +import numpy as np +import matplotlib.pyplot as plt +from mpl_toolkits.axisartist.axislines import AxesZero + +# Probability density/mass function + +fig = plt.figure(figsize=(8,6)) +ax = fig.add_subplot(axes_class=AxesZero) + +for direction in ["xzero", "yzero"]: + ax.axis[direction].set_axisline_style("-|>") # add arrows + ax.axis[direction].set_visible(True) # x and y from origin + +for direction in ["left", "right", "bottom", "top"]: + ax.axis[direction].set_visible(False) # hide borders + +N_fatalities = ['0', '10', '100'] +N_fatalities_loc = [0.05, 0.30, 0.66] + +pdf = ['0.989', '$10^{-2}$', '$10^{-3}$'] +pdf_loc = [0.99, 0.66, 0.33] + +ax.bar(N_fatalities_loc, pdf_loc, width=0.05, color= 'lightcyan', edgecolor='k') + +ax.set_xticks(N_fatalities_loc) +ax.set_xticklabels(N_fatalities) + +ax.set_yticks(pdf_loc) +ax.set_yticklabels(pdf) + +ax.set_title('Probability density/mass function, $f_{N}(n)$', x=0.6, y=1.0) +ax.set_xlabel('Fatalities') +ax.set_ylabel('Probability') + +ax.axhline(y=0.66, xmin= 0.01, xmax= 0.40, linewidth=1, linestyle='dashed', color='k') # add dashed horizontal lines +ax.axhline(y=0.33, xmin= 0.01, xmax= 0.90, linewidth=1, linestyle='dashed', color='k') + +plt.savefig('ex_FN_curve_step_01_py.svg') \ No newline at end of file diff --git a/book/code/ex_FN_curve_step_02.py b/book/code/ex_FN_curve_step_02.py new file mode 100644 index 0000000..d83d51e --- /dev/null +++ b/book/code/ex_FN_curve_step_02.py @@ -0,0 +1,38 @@ +import numpy as np +import matplotlib.pyplot as plt +from mpl_toolkits.axisartist.axislines import AxesZero + +# Cumulative Distribution Function + +fig = plt.figure(figsize=(8,6)) +ax = fig.add_subplot(axes_class=AxesZero) + +for direction in ["xzero", "yzero"]: + ax.axis[direction].set_axisline_style("-|>") # add arrows + ax.axis[direction].set_visible(True) # x and y from origin + +for direction in ["left", "right", "bottom", "top"]: + ax.axis[direction].set_visible(False) # hide borders + +N_fatalities = ['0', '10', '100', ''] +N_fatalities_loc = [0.03, 0.33, 0.76, 0.95] + +pdf = ['0', '0.989', '0.999', '1'] +pdf_loc = [0.03, 0.66, 0.86, 0.99] + +ax.step(N_fatalities_loc, pdf_loc, color= 'darkblue',linewidth=4) + +ax.set_xticks(N_fatalities_loc) +ax.set_xticklabels(N_fatalities) + +ax.set_yticks(pdf_loc) +ax.set_yticklabels(pdf) + +ax.set_title('Cumulative distribution function, $F_{N}(n) = P(N \leq n)$', x=0.55, y=1.0) +ax.set_xlabel('Fatalities') +ax.set_ylabel('Probability') + +ax.text(0.8, 0.9, r'} $10^{-3}$', fontsize=20) +ax.text(0.4, 0.725, r'} $10^{-2}$', fontsize=30) + +plt.savefig('ex_FN_curve_step_02_py.svg') \ No newline at end of file diff --git a/book/code/ex_FN_curve_step_03.py b/book/code/ex_FN_curve_step_03.py new file mode 100644 index 0000000..ec61816 --- /dev/null +++ b/book/code/ex_FN_curve_step_03.py @@ -0,0 +1,35 @@ +import numpy as np +import matplotlib.pyplot as plt +from mpl_toolkits.axisartist.axislines import AxesZero + +# FN curve + +fig = plt.figure(figsize=(8,6)) +ax = fig.add_subplot(axes_class=AxesZero) + +for direction in ["xzero", "yzero"]: + ax.axis[direction].set_axisline_style("-|>") # add arrows + ax.axis[direction].set_visible(True) # x and y from origin + +for direction in ["left", "right", "bottom", "top"]: + ax.axis[direction].set_visible(False) # hide borders + +N_fatalities = ['0', '10', '100','100'] +N_fatalities_loc = [0.03,0.33, 0.95, 0.95] + +pdf = ['0','$1.1 * 10^{-2}$', '$10^{-3}$','0'] +pdf_loc = [0.03,0.99, 0.66, 0.03] + +ax.step(N_fatalities_loc, pdf_loc, color= 'darkblue',linewidth=4) + +ax.set_xticks(N_fatalities_loc) +ax.set_xticklabels(N_fatalities) + +ax.set_yticks(pdf_loc) +ax.set_yticklabels(pdf) + +ax.set_title('FN curve, $1-F_{N}(n) = P(N > n)$', x=0.75, y=1.0) +ax.set_xlabel('Fatalities') +ax.set_ylabel('Probability') + +plt.savefig('ex_FN_curve_step_03_py.svg') \ No newline at end of file diff --git a/book/code/present_value.py b/book/code/present_value.py new file mode 100644 index 0000000..ffbd88e --- /dev/null +++ b/book/code/present_value.py @@ -0,0 +1,16 @@ +import numpy as np +import matplotlib.pyplot as plt + +t = np.linspace(0, 101) +y_2 = 1 / (1 + 0.02)**t +y_4 = 1 / (1 + 0.04)**t + +fig = plt.figure() +plt.plot(t, y_2, label='2%') +plt.plot(t, y_4, label='4%') +plt.grid() +plt.legend() +plt.xlabel('Year') +plt.ylabel('Normalized Present Value [$-$]') + +plt.savefig('present_value_py.svg') diff --git a/book/code/risk_types.py b/book/code/risk_types.py new file mode 100644 index 0000000..38f967f --- /dev/null +++ b/book/code/risk_types.py @@ -0,0 +1,54 @@ +import numpy as np +import matplotlib.pyplot as plt + +# Given Parameters + +N_fatalities = np.linspace(1,1000,1000) # fatalities + +P_df = 0.1; beta = 0.1 + +alpha = 2 +k = 3 +N_A = 100 + +r= 0.025 +I = 5*10**6 +B = 0.33 + +# Individual Risk + +Pf_ind_risk = (beta*(10**-4))/P_df # per year + +# print('Acceptable Failure Probability: ', Pf_ind_risk) + +# Societal Risk + +C = ((beta*100)/(k*np.sqrt(N_A)))**2 # binomial distribution + +Pf_SR = (C/(N_fatalities**alpha)) + +# Economic Risk + +D_damage = (5*10**7)*N_fatalities + +Pf_ER = (I*B*r)/(D_damage) + +# Visualize + +my_linewidth = 4 + +plt.figure(figsize=(8,6)) + +plt.yscale('log') +plt.xscale('log') +plt.plot(N_fatalities, Pf_SR, linewidth=my_linewidth, label='Societal Risk') +plt.plot(N_fatalities,Pf_ER, linewidth=my_linewidth, color='r', label='Economic Risk') +plt.axhline(Pf_ind_risk, linewidth=my_linewidth, color='g', label='Individual Risk') + +plt.ylabel('Probability of Exceedance, $1-F_N(n)$') +plt.xlabel('Fatalities, N') +plt.ylim(10**(-7),1) + +plt.legend(loc='upper right') + +plt.savefig('risk_types_py.svg') \ No newline at end of file diff --git a/book/code/sinewave.py b/book/code/sinewave.py new file mode 100644 index 0000000..74a1d42 --- /dev/null +++ b/book/code/sinewave.py @@ -0,0 +1,12 @@ +import numpy as np +import matplotlib.pyplot as plt + +x = np.linspace(0, 2*np.pi, endpoint=True) +y = np.sin(x) + +plt.figure() +plt.plot(x, y) +plt.title('$y=\sin(x)$') +plt.xlabel('$x$') +plt.ylabel('$y$') +plt.savefig('sinewave.svg') \ No newline at end of file diff --git a/book/code/test.py b/book/code/test.py new file mode 100644 index 0000000..21a9781 --- /dev/null +++ b/book/code/test.py @@ -0,0 +1,23 @@ +import modulefinder + +finder = modulefinder.ModuleFinder() +finder.run_script('cosinewave.py') + +moduleslist = {} +for name, mod in finder.modules.iteritems(): + filename = mod.__file__ + if filename is None: + continue + if '__' in name: + continue + #if "python" in filename.lower(): + # continue + moduleslist[name.split(".")[0]] = True + #print '%s: %s' % (name, filename) + #print ','.join(mod.globalnames.keys()[:3]) + +print('Loaded modules:') +for name, dummy in moduleslist.iteritems(): + print(name) + +input("Press Enter to continue...") diff --git a/book/credits.md b/book/credits.md new file mode 100644 index 0000000..4647375 --- /dev/null +++ b/book/credits.md @@ -0,0 +1,44 @@ +(credits)= +# Credits and License + +You can refer to this book as: + +> Lanzafame, R. (2024) _Risk and Reliability for Engineers_, TU Delft Open, 2024, doi XXXXXXXX. + +The introduction, structure of the book and formatting of contents is done by the Editor, Robert Lanzafame. Some chapters and pages have additional primary authors who are identified within the book either at the bottom of the first page in a chapter, or at the bottom of an individual page, as necessary. If an author is not listed on a particular page, it is Robert Lanzafame. + +You can refer to individual chapters or pages within this book as: + +> `` (2024) ``. In Robert Lanzafame (Ed.), _Risk and Reliability for Engineers._ TU Delft Open, 2024, doi XXXXXXXX. + +Although content will be added over time, chapter titles and URL's in this book are expected to remain relatively static. However, we make no guarantee, so if it is important for you to reference a specific location within the book, we recommend including the complete URL and date of access in your reference. + +## How the book is made + +This book is created using open source tools: it is a Jupyter Book that is written using Markdown, Jupyter notebooks and Python files to generate some figures. The files are stored on a [public GitLab repository of TU Delft](https://gitlab.tudelft.nl/interactivetextbooks-citg/risk-and-reliability/). The published version of this book is compiled from a special branch (`xxxxxxxx`). View the repository README file or contact the author for additional information. + +(editor)= +## About the Editor + +Robert Lanzafame. + +### Acknowledgements + +This book uses adapted excerpts from the lecture notes of a previous course, CIE4130 Probabilistic Design, which was last taught at Delft University of Technology in 2022. In particular, parts of the risk analysis and most of the risk evaluation chapters reuse modified material from Professor Bas Jonkman. This book, and the included exercises, would not be possible without the efforts of many CIE4130 teachers over the last decades (in alphabetical order): Bas Jonkman, Han Vrijling, Oswaldo Morales Napoles, Pieter van Gelder, Raphaël Steenbergen, Robert Lanzafame, Ton Vrouwenvelder. + +Many people provide technical support to enable teachers at the faculty of Civil Engineering and Geosciences (CEG) to develop books for improving the learning experience of our students, especially via development of the MUDE Module (CEGM1000) and through the activities of our teaching assistants. For additional information on books at CEG, contact Robert Lanzafame or Tom van Woudenberg at `books-CEG` AT `tudelft.nl` or visit [interactivetextbooks.citg.tudelft.nl](https://interactivetextbooks.citg.tudelft.nl/). Financial support has been generously granted by the CEG faculty via various grants and discretionary funds. + +Special thanks goes to Caspar Jungbacker, who set up the JupyterBook and GitHub repository to make this book and website possible; Benjamin Ramousse, who brought the bivariate "patterns" to life with Python; and ; Thirza Feenstra, who, along with Caspar and Robert, thought that this whole Jupyter Book thing was a "good idea." + +--- + +This book is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</a>. + +<a rel="license" href="http://creativecommons.org/licenses/by/4.0/"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by/4.0/88x31.png"/></a> + +The following items referenced in the text are _not_ included in the license: + +{numref}`risk-curve-baecher` and {numref}`risk-curve-baecher-2` are from {cite:t}`baecher2003`, based on {cite:t}`baecher1982` and described in {cite:t}`baecher2021` + +{numref}`risk_matrix` is from an online PDF document (located [here](https://home.army.mil/lee/application/files/7815/3809/1878/Tables.pdf)). The formal definition for the risk matrix can be found in Engineering Manual EM 385-1-1 (located [here](https://www.publications.usace.army.mil/portals/76/publications/engineermanuals/em_385-1-1.pdf)). + diff --git a/book/exercises/example-quiz.json b/book/exercises/example-quiz.json new file mode 100644 index 0000000..53de808 --- /dev/null +++ b/book/exercises/example-quiz.json @@ -0,0 +1,204 @@ +[ + { + "question": "Choose all of the following that can be included in Jupyter notebooks?", + "type": "many_choice", + "answers": [ + { + "answer": "Text and graphics output from Python", + "correct": true, + "feedback": "Correct." + }, + { + "answer": "Typeset mathematics", + "correct": true, + "feedback": "Correct." + }, + { + "answer": "Python executable code", + "correct": true, + "feedback": "Correct." + }, + { + "answer": "Formatted text", + "correct": true, + "feedback": "Correct." + }, + { + "answer": "Live snakes via Python", + "correct": false, + "feedback": "I hope not." + } + ] + }, + { + "question": "Which of these are used to create formatted text in Jupyter notebooks?", + "type": "multiple_choice", + "answers": [ + { + "answer": "Wiki markup", + "correct": false, + "feedback": "False." + }, + { + "answer": "SVG", + "correct": false, + "feedback": "False." + }, + { + "answer": "Markdown", + "correct": true, + "feedback": "Correct." + }, + { + "answer": "Rich Text", + "correct": false, + "feedback": "False." + } + ] + }, + { + "question": "Enter the value of $\\pi$ to 2 decimal places.", + "type": "numeric", + "answers": [ + { + "type": "value", + "value": 3.14, + "correct": true, + "feedback": "Correct." + }, + { + "type": "range", + "range": [ + 3.142857, + 3.142858 + ], + "correct": true, + "feedback": "True to 2 decimal places, but you know $\\pi$ is not really 22/7, right?" + }, + { + "type": "range", + "range": [ + -100000000, + 0 + ], + "correct": false, + "feedback": "$\\pi$ is the AREA of a circle of radius 1. Try again." + }, + { + "type": "default", + "feedback": "$\\pi$ is the area of a circle of radius 1. Try again." + } + ] + }, + { + "question": "Enter the value of $\\pi$ to 2 decimal places.", + "type": "numeric", + "precision": 2, + "answers": [ + { + "type": "value", + "value": 3.14, + "correct": true, + "feedback": "Correct." + }, + { + "type": "range", + "range": [ + 3.142857, + 3.142858 + ], + "correct": true, + "feedback": "True to 2 decimal places, but you know $\\pi$ is not really 22/7, right?" + }, + { + "type": "range", + "range": [ + -100000000, + 0 + ], + "correct": false, + "feedback": "$\\pi$ is the AREA of a circle of radius 1. Try again." + }, + { + "type": "default", + "feedback": "$\\pi$ is the area of a circle of radius 1. Try again." + } + ] + }, + { + "question": "Determine the output of the following Python code:", + "code": "a=\"1\"\nb=\"2\"\nprint(a+b)", + "type": "multiple_choice", + "answers": [ + { + "answer": "1", + "correct": false, + "feedback": "No. When strings are operated on by +, they are concatenated." + }, + { + "answer": "2", + "correct": false, + "feedback": "No. When strings are operated on by +, they are concatenated." + }, + { + "answer": "3", + "correct": false, + "feedback": "No. When strings are operated on by +, they are concatenated." + }, + { + "answer": "12", + "correct": true, + "feedback": "Yes. The + operator will concatenate the strings \"1\" and \"2\"." + }, + { + "answer": "error", + "correct": false, + "feedback": "No. The + operator for strings performs string concatenation." + } + ] + }, + { + "question": "The variable mylist is a Python list. Choose which code snippet will append the item 3 to mylist.", + "type": "multiple_choice", + "answers": [ + { + "code": "mylist+=3", + "correct": false + }, + { + "code": "mylist+=[3]", + "correct": true + }, + { + "code": "mylist+={3}", + "correct": false + } + ] + }, + { + "question": "Which of these is the ratio of a circle's circumference to its diameter?", + "type": "multiple_choice", + "answers": [ + { + "answer": "$\\pi$", + "correct": true, + "feedback": "Correct." + }, + { + "answer": "$\\frac{22}{7}$", + "correct": false, + "feedback": "$\\frac{22}{7}$ is only an approximation to the true value." + }, + { + "answer": "3", + "correct": false, + "feedback": "This is a crude approximation to the true value." + }, + { + "answer": "$\\tau$", + "correct": false, + "feedback": "True for the ratio of the circle's circumference to its radius, not diameter." + } + ] + } +] \ No newline at end of file diff --git a/book/exercises/exercise-dam.md b/book/exercises/exercise-dam.md new file mode 100644 index 0000000..8adb8f6 --- /dev/null +++ b/book/exercises/exercise-dam.md @@ -0,0 +1,154 @@ +# Dam and River + +You are tasked to analyse the safety of a dam and the downstream river system. Downstream of the dam there is a dike ring protected by two main dike sections which must be able to contain water released from the reservoir. The dike sections are connected to each other and form a continuous boundary along the same side of the river. Let $P(F_1)=0.01$ and $P(F_2)=0.01$ denote failure probability of dike section 1 and section 2 respectively. There appears to be a correlation between failures of both sections, $\rho_{1,2}=0.9$, and the figure below shows the effect of the correlation coefficient on the joint failure of the two sections. + +%commented paragraphs were used for an exam question with a fault tree + +%You are tasked to analyse the safety of a dam. The dam itself can fail due to instability, and another failure mechanism is failure of the spillway due to uncontrolled erosion that could reach the body of the dam. If water levels in the reservoir become high, water is released from the reservoir into the spillway due to overflow, which happens approximately once every 10 years. + +%When water is released through spillway, there are two situations that could lead to a weak spillway prone to erosion and failure: 1) hidden damage to the spillway structure that cannot be detected in yearly inspections, and 2) a crack in the concrete of the spillway which has been missed during the yearly inspection. + +%Downstream of the dam there is an area protected by two main dike sections which must be able to contain water released from the reservoir. A dike section fails if the river discharge exceeds a critical discharge $Q_c$ with a probability of exceedance of 1/100 per year, which leads to flooding of the area. There appears to be a correlation between failures of both sections, $\rho_{1,2}=0.9$, and the figure below shows the effect of the correlation coefficient on the joint failure of the two sections. + +```{figure} ../figures/system-corr-coeff.PNG +--- +width: 400px +name: corr-coeff-or +--- +Effect of correlation coefficient joint failure, $P(A \cap B)$ (assume that $P(A \cap B)=0.003$ at $\rho=+0.9$, where the arrow is located). +``` + +**Question 1:** Estimate the probability of flooding of the area protected by the two dike sections. Assume that the failure probability of each mechanism is 0.01, and they are _not_ independent; however, you can use the figure above to quantify this. + +```{admonition} Answer +:class: tip, dropdown + +Flooding of the protected area occurs when at least one of the two dike section fails. This is a series system. Thus, probability of flooding of the protected area can be determined by: + +$$ + P(\textrm{flooding}) &= P(\textrm{dike sections 1 fails}\:\cup \textrm{dike section 2 fails})\\ + P(F_1 \cup F_2) &= P(F_1) + P(F_2) - P(F_1 \cap F_2) +$$ + +Based on the figure and the correlation $\rho_{1,2} = 0.9$, the joint probability of failure $P(F_1 \cap F_2)=0.003$ and the series failure probability is + +$$ + P(\textrm{flooding}) = 0.01 + 0.01 - 0.003 = 0.017 \: \mathrm{/year} +$$ +``` + +## Dam repair: probabilistic planning + +The dam has to be repaired. The responsible minister wants to make sure the whole project is finished within 12 months, and only accepts a probability of 10% that actual construction works exceed this duration. The dam reinforcement consists of two activities. The second activity can only start when the first one has been finished. The durations of both activities are uncertain and normally distributed. The first activity has a mean duration of $\mu_1=4$ months and a standard deviation of $\sigma_1 = 1$ month; for the second activity $\sigma_2 = 2$ months. + +**Question 2:** Compute the mean duration of the activity 2, so that the project duration would fall within the criterion given by the minister. + +```{admonition} Answer +:class: tip, dropdown + +Let $T_1$ and $T_2$ denote the duration of activities 1 and 2; $T$ denotes the total duration; $T_1$ and $T_2$ are normally distributed: + +$$ + T_1 \sim \mathcal{N}( + \mu_1=4,\sigma_1=1) \\ + T_2 \sim \mathcal{N}(\mu_2=?,\sigma_2=2) +$$ + +$T = T1 + T2$ is also normally distributed, where + +$$ +\mu_T &= \mu_1 + \mu_2 \\ +\sigma_T &= \sqrt{\sigma_1^2 + \sigma_2^2} = \sqrt{5} = 2.326 +$$ + +The probability of project duration greater than 12 months can be found with the complementary standard normal CDF, and should be a maximum of 0.1: + +$$ +1-\Phi\left[\frac{12\:\mathrm{months}-\mu_T}{\sigma_T}\right]=0.1 +$$ + +Applying the inverse CDF allows us to solve for $\mu_1$: + +$$ +\frac{12-\mu_T}{\sigma_T} &=\Phi^{-1}[0.9] \\ +\frac{12-(\mu_1 + \mu_2)}{\sigma_T} &=1.2816 +$$ + +$$ +\mu_1 &= 12 - 1.2816 \cdot \sigma_T - \mu_2 \\ +\mu_1 &= 12 - 1.282(2.326) - 4 = 5.018\:\mathrm{months} +$$ + +<!-- Limit state equation: total duration of constuction will not exceed 12 months, thus: + +$$ + Z = 12 - (T_1 + T_2) +$$ + +The event $Z<0$ reflects that the actual construction works exceed the duration the minister want (12 months). It is acceptable that the actual construction works exceed this duration with a probability of 10%. Thus: $P(Z<0) = 0.1$. This leads to $\beta_z = 1.28155$ + +Application of Level II reliability calculation: + +$$ + \mu_z = 12 - (\mu_1 + \mu_2) = 8 - \mu_2 \\ + \sigma_z = \sqrt{\sigma_1^2 + \sigma_2^2} = \sqrt{5} = 2.326 \\ + 8 - \mu_2 = \beta_z \cdot \sigma_z = 2.86 \\ + \mu_2 = 5.13 \: \mathrm{months} +$$ --> +``` + +## Acceptable risk + +The government wants to study the acceptable risk and the acceptable probability of dam failure. Two criteria are used for acceptable risk: + +- Societal risk (SR): an FN limit line: $P_f \leq 10^{-2}/n^2$. +- Individual risk (IR): $IR \leq 10^{-4}$ per year. + +We know that mortality in case of dam failure is $F_{d|f} = 0.1$ and that the population living downstream of the dam is 1000 people. + +**Question 3:** Plot the FN limit line and indicate the acceptable probability of failure according to both criteria (individual risk, societal risk). + +````{admonition} Answer +:class: tip, dropdown + +```{figure} ../figures/exercise-dam-fn-limit-line.png +--- +width: 500px +--- +``` +```` + +**Question 4:** Provide an advice on the acceptable probability of failure for the dam. Give the proposed numerical value and a short motivation. + +```{admonition} Answer +:class: tip, dropdown + +Based on individual risk criterion, we have: + +$$ + IR = P_f P_{d|f} \leq IR_{acc} +$$ + +where $P_{d|f}=0.1$. Hence, the acceptable probability of failure is: + +$$ + P_f \leq \frac{IR_{acc}}{P_{d|f}} = \frac{10^{-4}}{0.1} = 10^{-3} \: \mathrm{/year} +$$ + +Based on societal risk criterion (FN-Curve): + +Acceptable failure probability can be determined by the FN-Curve: + +$$ + P_f = 1 - F_N(n) \leq \frac{C}{n^\alpha} = \frac{10^{-2}}{n^2} +$$ + +Based on given information above, expected number of casualties per dam failure event is $n = F_{d|f}\cdot 1000 = 100$. + +$$ + P_f &\leq \frac{10^{-2}}{100^2} \\ + P_f &= 10^{-6} \: \mathrm{/year} +$$ + +The most stringent of the two criteria applies, so the proposed safety standard would be $10^{-6}$ per year for the given inputs. +``` diff --git a/book/exercises/exercise-fn-curve.md b/book/exercises/exercise-fn-curve.md new file mode 100644 index 0000000..62f9102 --- /dev/null +++ b/book/exercises/exercise-fn-curve.md @@ -0,0 +1,68 @@ +(ex_fn_curve)= +# FN Curve + +A small town is located in a seismic region threatened by two faults. Fault A has a 10% probability of occurring each year, which would cause 10 fatalities, and Fault B has a 1% chance of occurring, which would cause 100 fatalities. Construct an FN curve for the town. Assume that the town is risk averse and that the tolerable risk limit is governed using a constant of C=1. + +**Question 1:** Compute the expected annual fatalities for the town. + +```{admonition} Answer +:class: tip, dropdown + +$$ +E(N) = P_1 \cdot N_1 + P_2 \cdot N_2 = 0.1 \cdot 10 + 0.01 \cdot 100 = 2 +$$ +``` + +**Question 2:** If the town improved the safety of its buildings, what would be the maximum allowable number of fatalities that would be considered acceptable due to an earthquake on fault A? + +```{admonition} Answer +:class: tip, dropdown + +Using the limit curve + +$$ +1 - F_n(n) = C / n^\alpha +$$ + +$$ +0.1 = 1 / n^2 +$$ + +$$ +n = \sqrt{10} \approx 3 +$$ +``` + +**Question 3:** What is the maximum value for the probability of an earthquake on Fault B that would be considered acceptable by the town? + +```{admonition} Answer +:class: tip, dropdown + +Using the limit curve + +$$ +1 - F_n(n) = C / n^\alpha +$$ + +$$ +1 - F_n(100) = C / 100^2 = 0.0001 = 10^{-4} +$$ +``` + +**Question 4:** Create an FN curve for this situation, including the limit line. Be sure to clearly label the axes and the values of key points on your diagram. + +```{note} +If you are not sure what the limit line is, wait for this question until you read the Safety Standards Section (Risk Evaluation chapter). +``` + +````{admonition} Answer +:class: tip, dropdown + +```{figure} ../figures/exercise-FN-curve.png +--- +width: 600px +name: FN-curve +--- +FN-curve for exercise 4 +``` +```` \ No newline at end of file diff --git a/book/exercises/exercise-paint.md b/book/exercises/exercise-paint.md new file mode 100644 index 0000000..c7197db --- /dev/null +++ b/book/exercises/exercise-paint.md @@ -0,0 +1,173 @@ +# Paint System + +In this assignment we will consider a paint system that prevents rust and corrosion on a steel structure. A high quality paint system costs €40 per square meter and has a failure probability of 0.002, which assumes that the old paint system is completely stripped off and the steel surface is cleaned prior to installation, which has an additional cost of €20 per square meter. + +Common cost cutting measures are to use a cheaper paint that costs half as much, but is five times more likely to fail, or to simply sand the old paint rather than stripping it off prior to applying a new paint, which increases the failure probability by 10, but only costs €5 per square meter. + +During operation of the structure, if a rust spot is found it must be repaired immediately by removing the damaged paint and replacing it. The repair has an additional cost of €500 per square meter. + +Construct a decision tree to evaluate the different options for steel preparation and paint, then use it to answer the following questions. Assume that the owner wants to minimize total costs, that the paint system only fails once in any reference period and that the probability of failure in each year is independent. All costs and probabilities are calculated on a square meter basis. + +%**Question 6:** Upload a photo/scan of your decision tree. Make sure the values and parameters for each branch are clear. + +````{admonition} Decision Tree +:class: tip, dropdown + +This problem can be visualized using a decision tree as shown below. However, it results in a different interpretation of the problem than that shown in the solution. For example, consider the top branch at the far right, where 'No rust spot' is assigned a probability of 0.998. This is consistent with the formulation of a decision tree, but not consistent with the problem statement, which implies that the €60 cost associated with cleaning and painting is always done when replacing the paint system (thus a probability of 1.0). This is why the values in the decision tree are slightly different than those in Question 3, for example. + +Although the decision tree is not part of the exam, this illustrates an important lesson: it is very easy to accidentally make probability calculations that are inconsistent with the situation you are trying to evaluate! + +```{figure} ../figures/exercise-decision-tree.png +--- +width: 600px +name: decision-tree +--- +Decision tree. +``` +```` + +**Question 1:** What is the probability of each paint system failure per square meter over one year? + +```{admonition} Answer +:class: tip, dropdown + +| Paint | Cleaning | $p_f$ [1/yr] | +|------- |--- | --- | +| High-Quality | Stripping | 0.002 | +| High-Quality | Sanding | 0.02 | +| Low-Quality | Stripping | 0.01 | +| Low-Quality | Sanding | 0.10 | +``` + +**Question 2:** What is the probability of each paint system failure per square meter over a 10 year period? + +```{admonition} Answer +:class: tip, dropdown + +$$P_{f,10y} = 1 - (1 - p_{f,1y})^{10}$$ + +| Paint | Cleaning | $p_f$ [1/10-yr] | +|------- |--- | --- | +| High-Quality | Stripping | 0.02 | +| High-Quality | Sanding | 0.18 | +| Low-Quality | Stripping | 0.10 | +| Low-Quality | Sanding | 0.65 | +``` + +**Question 3:** What is the expected cost per square meter over a one year period if the owner uses the high quality cleaning and high quality paint? + +```{admonition} Answer +:class: tip, dropdown + +$$ +40 + 20 + 0.002 \cdot (500 + 40 + 20) = \euro{} 61.12 /\mathrm{m^2} +$$ +``` + +**Question 4:** What is the optimal paint system for a one year period? + +```{admonition} Answer +:class: tip, dropdown + +$$C_{paint} + C_{cleaning} + P_{f,1y} \cdot (C_{paint} + C_{cleaning} + C_{repair})$$ + +| Paint | Cleaning | Expected cost [€/yr] | +|------- |--- | --- | +| High-Quality | Stripping | 61.12 | +| High-Quality | Sanding | 55.90 | +| Low-Quality | Stripping | **45.40** | +| Low-Quality | Sanding | 77.50 | + +Low Quality Paint + High Quality Cleaning +``` + +**Question 5:** What is the optimal paint system for a 10 year period? + +```{admonition} Answer +:class: tip, dropdown + +$$C_{paint} + C_{cleaning} + P_{f,10y} \cdot (C_{paint} + C_{cleaning} + C_{repair})$$ + +| Paint | Cleaning | Expected cost [€/10 yr] | +|------- |--- | --- | +| High-Quality | Stripping | **71.10** | +| High-Quality | Sanding | 144.70 | +| Low-Quality | Stripping | 91.63 | +| Low-Quality | Sanding | 366.94 | + +High Quality Paint + High Quality Cleaning + +**NOTE:** If you're getting slightly different results, don't panic! Most likely you have approximated the probabilities computed above in question 2. +``` + +Assume the owner has decided to use the cheap paint system, and is simply going to sand it off (i.e. the cheap cleaning method) and re-apply the same system every year (i.e., for these problems consider a 1-year reference period). You have been asked to assess whether it is worthwhile to use a quick sonic test system to prevent failures during the year, and if it is, the number of tests that should be performed per year. Each test costs about €3 per m2, and if a weak spot is found, a new layer of paint can be easily applied, lowering the failure probability by a factor of 0.50. + +**Question 6:** What is the annual expected cost due to paint failure if no sonic inspections are done? + +```{admonition} Answer +:class: tip, dropdown + +$$ +E(D) = P_f \cdot D = 0.1 \cdot 525 = 52.50 +$$ +``` + +**Question 7:** What is the annual expected total cost for the paint system if no sonic inspections are done? + +```{admonition} Answer +:class: tip, dropdown + +Using the decision tree from above: €77.50/m2 +``` + +**Question 8:** What is the change in risk for 3 sonic inspections? + +```{admonition} Answer +:class: tip, dropdown + +$$ +\Delta E(D) = (P_{f,0} - P_{f,new}) \cdot D = 45.94 +$$ +``` + +**Question 9:** What is the annual expected cost due to paint failure if 3 sonic inspections are done? + +```{admonition} Answer +:class: tip, dropdown +The expected damage is: +$$ +E(D)=P_f \cdot D={0.5}^3 \cdot 0.1 \cdot 525=6.56 +$$ +But the 3 inspections cost €9, thus the total expected cost is €15.56. It is incorrect to multiply the inspection cost by the failure probability. NB: this calculation implies the inspections occur regardles of when the failure happens. + +``` + +**Question 10:** What is the maximum number of inspections per year that can be performed that are cost-effective? Note: Round your answer towards the smallest integer. + +```{admonition} Answer +:class: tip, dropdown + +For the investments to be cost effective: + +$$ +\frac{\Delta E(D)}{I}>1 +$$ + +Which results in a maximum of 17 inspections per year. +``` + +**Question 11:** What is the optimum number of sonic inspections to perform each year? Plot a graph, with the Risk, Investment and Total cost curves and clearly indicate the optimum. + +````{admonition} Answer +:class: tip, dropdown + +As shown in the figure, the optimum is 3 per year. + +```{figure} ../figures/exercise-optimization.png +--- +width: 600px +name: optimization-curve +--- +Optimization curve for exercise 12 +``` +```` \ No newline at end of file diff --git a/book/exercises/exercise-sample-exam.md b/book/exercises/exercise-sample-exam.md new file mode 100644 index 0000000..8c8ac10 --- /dev/null +++ b/book/exercises/exercise-sample-exam.md @@ -0,0 +1,248 @@ +# Sample Exam Questions + +<!-- ```{admonition} Sample Exam Answers +:class: tip + +Answers to the sample exam will be made available on this page after Monday of Week 2.8. +``` --> +## General Questions + +**Question 1:** Indicate which of the following statements is true (multiple answers possible): + 1. A parallel system gets stronger if there is a strong positive correlation between failure of the elements. + 2. Dependence between elements is only determined by dependence in loads. + 3. In case of a full dependence between two elements $A$ and $B$, it holds that $P(B|A)=1$. + 4. A flood defence system that is a single line of defence composed of multiple dike sections would best be characterized as a series sytem, not as a parallel system. + 5. A prison with multiple walls and fences would best be characterized as a series system, not as a parallel system. + +```{admonition} Answer +:class: tip, dropdown + +Options 3 and 4 are true. +``` + +## Flood Protection for a Bay + +A flood protection system for an area at a bay consists of a first line of defence (a dam on the coast) and a second line (a dike around the bay) to protect the city against a storm surge that can cause a high water level in the bay. The design team considers two strategies: 1) a single dike around the bay, or 2) a dike around the bay plus a dam (see figure). + +```{figure} ../figures/exercise-sample-exam-bay.png +--- +width: 400px +name: flood-protection +--- +``` + +**Question 1:** from the perspective of flooding in the city, the function of the dam and dike together is best described as a (choose one): +a. series system +b. parallel system +c. a single component +d. none of the above + +```{admonition} Answer +:class: tip, dropdown + +Option b is true. +``` + +**Question 2:** how will dependence between the dam and dike change the system failure probability? (choose one) +a. increase +b. decrease +c. no change + +```{admonition} Answer +:class: tip, dropdown + +Option a is true. +``` + +**Question 3:** describe whether or not there is dependence between the dam and dike, and what the source could be. + +```{admonition} Answer +:class: tip, dropdown + +It is likely that both structures are constructed of the same material (e.g., local soil), which would respond in a similar way to the storm surge and waves. The structures are also likely to be operated and maintained by the same government agency, which would result in dependence due to human error and maintenance problems. +``` +--- +The damage in case of flood protection system failure is 1 billion $10^9$ Euros. We compare two different investments in the system. In strategy 1 the system failure probability becomes $10^{-3}$ per year at a cost of 10 million ($10 \cdot 10^{6}$). In strategy 2 the system failure probability becomes $3 \cdot 10^{-4}$ per year at a cost of 50 million. + +**Question 4:** for which value of the interest rate $r$ is strategy 2 the most interesting? (You may consider an infinite lifetime of investments). + +```{admonition} Answer +:class: tip, dropdown + +Find $r$ such that the difference in expected damage between strategy 1 and 2, $\Delta p_{f,sys}D/r$, is greater than the difference between the investments, $I_2-I_1$, where the net present value over an infinite lifetime is $1/r$. + +$$ +r < \frac{\Delta p_{f,sys} D}{I_2-I_1} = \frac{(0.0010-0.0003)\cdot 1000 \text{m€}}{50\: \text{m€}-10\: \text{m€}}=0.0175 +$$ + +Can also set up as solving for $r$ when comparing total costs: + +$$ +I_1+\frac{p_1 D}{r}>I_2+\frac{p_2 D}{r} +$$ +``` +--- + A full scale risk assessment is made for the system with probabilities $P(N>10)=10^{-3}$ per year and $P(N>100)=5 \cdot 10^{-5}$ per year. A so-called limit line is given with values with $C = 10^{-1}$; and $\alpha = 2$. + +**Question 5:** determine whether this situation is acceptable. You may answer using a few sentences, calculations or by submitting a sketch, but either way, you must support your answer quantitatively. If you use a sketch, indicate the scale and relevant points on the plot. + +````{admonition} Answer +:class: tip, dropdown + +First create an FN curve for the risk assessment + +**NOTE:** _the figure below is slightly incorrect; the horizontal lines should be to the right of the "dots;" in other words, the 1E-05 value should be above N=100. This makes it more obvious why the system does not meet the safety criteria._ + +```{figure} ../figures/exercise-sample-exam-limit-line.png +--- +width: 400px +name: limit-line +--- +``` + +Next, check that each point on the line is below the limit line: + +$$ +1-F_N(n)<\frac{C}{N^α} +$$ + +The probability of exceeding 100 fatalities is too high since $5E-5>0.1/100^2=1E-5$. The same is true for 10 fatalities. +```` +--- +The flooding probability is 1/50 per year and damage is 150 million € ($10^6$). It is questioned whether additional protection is needed and what would be the best solution between the following: + +- Strategy A: raise the dike +- Strategy B: raise the dike and build a mangrove forest in front which reduces waves + +The table below indicates the costs of the strategies and how much they reduce the initial failure probability. Assume the interest rate is 4%. + +```{list-table} Mitigation Strategy A and B. +:header-rows: 1 + +* - Strategy + - Failure probability factor + - Costs, million € ($10^6$) +* - Do Nothing + - 1.0 + - 0 +* - A + - 0.5 + - 10 +* - B + - 0.2 + - 18 +``` + +**Question 6:** what is the most cost-effective or optimal strategy? Explain your answer. + +1. Strategy A +2. Strategy B +3. neither A nor B + +````{admonition} Answer +:class: tip, dropdown + +Strategy B is best. + +Various costs (NPV value) are calculated in the table below, and Strategy B is the lowest total cost we well as highest risk reduction. + +```{figure} ../figures/exercise_sample_opt.png +--- +width: 500px +--- +``` +```` +--- +Consider the individual risk in two areas of the city by the bay, above. The acceptable individual risk is $10^{-5}$ per year. The conditional probability of death due to flooding is dependent on the water depth and indicated next to the graph. The individual risk level in area A is $10^{-5}$ per year and the water depth is 3 m. The individual risk level in area B is $10^{-5}$ per year and the water depth is 2 m. + +**Question 7:** what should be the maximum allowable failure probability of the dike on the bay, $P_{\text{flooding}}$, to meet the standard for individual risk, $IR$? + +```{figure} ../figures/exercise-sample-exam-mortality.png +--- +width: 400px +--- +``` + +````{admonition} Answer +:class: tip, dropdown + +Individual risk is: + +$$ +IR = P_{\text{flooding}} \cdot P_{\text{death}|\text{flooding}} +$$ + +where the values for the conditional term can be found using the mortality figure, and solve for $P_{\text{flooding}}$. + +```{figure} ../figures/exercise_sample_IR.png +--- +width: 500px +--- +``` +The norm is governed by the most strict safety requirement, thus, $P_{\text{flooding}}$ should be 0.0002 per year. +```` + +## Component Reliability + + + +The shaded region, $\Omega$, in the figure below is the failure domain of an unknown object (the shaded zone extends further towards positive infinity for $x$ and $y$). $p_f$ is the probability of failure of that object, such that: + +$$ + p_f = \iint_\Omega f(x,y)dxdy +$$ + +Where $x$ and $y$ are random variables and $f(x,y)$ is the joint PDF. + +```{figure} ../figures/exercise-sample-exam-failure-domain.png +--- +width: 400px +name: failure-domain +--- +``` + +**Question 1:** identify a specific real-life object of your choosing (it can be anything!) that can be described by this diagram and failure probability. Describe the object and provide a definition of failure using words only, no equations. Mention whether $X$ and $Y$ each acts as a load or a resistance. + +```{admonition} Answer +:class: tip, dropdown + +It is clear that $X$ and $Y$ are both loads, since high values of both variables lead to failure. There are many possible ‘objects’ that are governed by two loads: + +- Dike: x and y are water level and wave load, failure is excessive overtopping +- Steel rod: 2 loads exceed strength +- Beam: self-weight and length are loads (but this is non-linear) +- Island: x and y are sea level rise and settlement, capacity is elevation; failure is flooding +- 2 things on object with limiting capacity. E.g.: people on a couch or bench, birds on a tree branch +- Literally any two loads would be acceptable, as long as the capacity of the object was a sum of both of them (if not a sum, it’s non-linear) +%Honorable mentions: exam grading, stoof pot, student knowledge on exam material, ear damage at a music festival, dog and cat in box, exam desk stability, fingers squeezing a pen, 2 heaters in a room + +<!-- see below for a list of examples. + +*The following text is included in the exaplanation of this sample exam question to give extra insight; you are not expected to reproduce this on the MUDE exam: + +The limit state is a line, which means the variables $X$ and $Y$ should have a linear relationship and can be represented as +$$Z=y_0-(y_0/x_0)\cdot x-y$$ +or if $y_0=x_0$ is assumed, simply +$$Z=y_0-x-y$$ + +We can also describe the random variables x and y; specify possible values for the mean ($\mu_x$, $\mu_y$) and standard deviation ($\sigma_x$, $\sigma_y$)If the object is generally stable the mean values should be below the line; specifically any value such that $mu_x<x_0$, $mu_y<y_0$ and $mu_y<y_0-mu_x$. + +Since we want to find the design point we should use FORM, not Monte Carlo. If an object with a non-linear LSF is chosen, or non-normal random varialbes, this will be an approximation of pf but the design point is reliable. If x and y are described by a normal distribution, pf can be solved for exactly using the std normal dist for z with mu_z=y0-mu_x-mu_y and sigma_z=sqrt(sigma_x^2+sigma_y^2). Beta is the distance between point {mu_x, mu_y} and and the LSF such that the line is perpendicular to the LSF. The design point is the point on the LSF where the perpendicular line crosses which is the maximum probability density. +Common mistakes on this question: +- Not describing what x, y, x0 or y0 were +- Using Z=R-S – this was a big error! Note: ok to write Z=R-S only if you clarify that S was a function of X and Y, and that x0 and y0 determine R (not necessarily as random variables) +- Some tried to assign Y as a resistance with no explanation +- Accidentally flipping the signs on R or S +- Correct description of X and Y as loads, but not writing an equation that showed it +- Writing Z = R - (X + Y) without an explanation of what R is +- Combining x and y in the limit-state function in a way that makes it non-linear +- FORM gives you the design point; Monte Carlo does not +Comments about answers that were not quite right (points were not deduced for these): +- Be careful with what you assign as a random variable: technically the length of a beam under load acts as a load variable (longer beam is more fragile), but you wouldn’t always include it as a random variable if the variance in the load is much bigger. +- For large structures that are built once (e.g., a bridge in a valley) you can measure the width and construct the bridge, so it’s not really practical to consider these as the main loads or resistances, even though mathematically speaking (alpha value) it is true. +- Combining load variables that had different units +- Making time a random variable +- Creating an object and/or limit state function that was non-linear (e.g., X*Y instead of X+Y) + +Common ‘objects’: --> + diff --git a/book/exercises/overview.md b/book/exercises/overview.md new file mode 100644 index 0000000..e0df0bc --- /dev/null +++ b/book/exercises/overview.md @@ -0,0 +1,7 @@ +# Exercises + +A number of exercises are included in this chapter that illustrate the previously discussed concepts of risk and reliability in a probabilistic design context. At the end a set of **sample exam** questions are included. + +--- + +_Exercises are largely drawn from decades of old course material from many contributors; this chapter can be referred to using standard Editor attribution._ \ No newline at end of file diff --git a/book/figures/1.png b/book/figures/1.png new file mode 100644 index 0000000..5227771 Binary files /dev/null and b/book/figures/1.png differ diff --git a/book/figures/FN-simple.PNG b/book/figures/FN-simple.PNG new file mode 100644 index 0000000..7e8eea1 Binary files /dev/null and b/book/figures/FN-simple.PNG differ diff --git a/book/figures/combined_risk_criteria.png b/book/figures/combined_risk_criteria.png new file mode 100644 index 0000000..bb9f78e Binary files /dev/null and b/book/figures/combined_risk_criteria.png differ diff --git a/book/figures/cover.png b/book/figures/cover.png new file mode 100644 index 0000000..2a2bfb0 Binary files /dev/null and b/book/figures/cover.png differ diff --git a/book/figures/cover.svg b/book/figures/cover.svg new file mode 100644 index 0000000..2e7f47f --- /dev/null +++ b/book/figures/cover.svg @@ -0,0 +1,8550 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape (http://www.inkscape.org/) --> + +<svg + width="210mm" + height="210mm" + viewBox="0 0 210 210" + version="1.1" + id="svg1" + xml:space="preserve" + inkscape:version="1.3.2 (091e20e, 2023-11-25, custom)" + sodipodi:docname="cover.svg" + inkscape:export-filename="cover_small.png" + inkscape:export-xdpi="45" + inkscape:export-ydpi="45" + xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" + xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" + xmlns:xlink="http://www.w3.org/1999/xlink" + xmlns="http://www.w3.org/2000/svg" + xmlns:svg="http://www.w3.org/2000/svg"><sodipodi:namedview + id="namedview1" + pagecolor="#ffffff" + bordercolor="#000000" + borderopacity="0.25" + inkscape:showpageshadow="2" + inkscape:pageopacity="0.0" + inkscape:pagecheckerboard="true" + inkscape:deskcolor="#d1d1d1" + inkscape:document-units="mm" + inkscape:zoom="1.0066252" + inkscape:cx="467.40336" + inkscape:cy="219.04876" + inkscape:window-width="1920" + inkscape:window-height="1013" + inkscape:window-x="-9" + inkscape:window-y="-9" + inkscape:window-maximized="1" + inkscape:current-layer="layer2" /><defs + id="defs1"><linearGradient + id="linearGradient171" + inkscape:collect="always"><stop + style="stop-color:#000000;stop-opacity:1;" + offset="0" + id="stop171" /><stop + style="stop-color:#000000;stop-opacity:0;" + offset="0.53125" + id="stop172" /></linearGradient><linearGradient + id="linearGradient167" + inkscape:collect="always"><stop + style="stop-color:#000000;stop-opacity:1;" + offset="0" + id="stop167" /><stop + style="stop-color:#000000;stop-opacity:0;" + offset="0.49038461" + id="stop168" /></linearGradient><style + type="text/css" + id="style1">*{stroke-linejoin: round; stroke-linecap: butt}</style><path + id="C0_0_09e14a2f7a" + d="M 0 1.581139 C 0.419323 1.581139 0.821528 1.41454 1.118034 1.118034 C 1.41454 0.821528 1.581139 0.419323 1.581139 -0 C 1.581139 -0.419323 1.41454 -0.821528 1.118034 -1.118034 C 0.821528 -1.41454 0.419323 -1.581139 0 -1.581139 C -0.419323 -1.581139 -0.821528 -1.41454 -1.118034 -1.118034 C -1.41454 -0.821528 -1.581139 -0.419323 -1.581139 0 C -1.581139 0.419323 -1.41454 0.821528 -1.118034 1.118034 C -0.821528 1.41454 -0.419323 1.581139 0 1.581139 z " /><path + id="me7de34024f" + d="M 0 0 L 0 3.5 " + style="stroke: #000000; stroke-width: 0.8" /><path + id="ArialMT-52" + d="M 503 0 L 503 4581 L 2534 4581 Q 3147 4581 3465 4457 Q 3784 4334 3975 4021 Q 4166 3709 4166 3331 Q 4166 2844 3850 2509 Q 3534 2175 2875 2084 Q 3116 1969 3241 1856 Q 3506 1613 3744 1247 L 4541 0 L 3778 0 L 3172 953 Q 2906 1366 2734 1584 Q 2563 1803 2427 1890 Q 2291 1978 2150 2013 Q 2047 2034 1813 2034 L 1109 2034 L 1109 0 L 503 0 z M 1109 2559 L 2413 2559 Q 2828 2559 3062 2645 Q 3297 2731 3419 2920 Q 3541 3109 3541 3331 Q 3541 3656 3305 3865 Q 3069 4075 2559 4075 L 1109 4075 L 1109 2559 z " + transform="scale(0.015625)" /><path + id="ArialMT-61" + d="M 2588 409 Q 2275 144 1986 34 Q 1697 -75 1366 -75 Q 819 -75 525 192 Q 231 459 231 875 Q 231 1119 342 1320 Q 453 1522 633 1644 Q 813 1766 1038 1828 Q 1203 1872 1538 1913 Q 2219 1994 2541 2106 Q 2544 2222 2544 2253 Q 2544 2597 2384 2738 Q 2169 2928 1744 2928 Q 1347 2928 1158 2789 Q 969 2650 878 2297 L 328 2372 Q 403 2725 575 2942 Q 747 3159 1072 3276 Q 1397 3394 1825 3394 Q 2250 3394 2515 3294 Q 2781 3194 2906 3042 Q 3031 2891 3081 2659 Q 3109 2516 3109 2141 L 3109 1391 Q 3109 606 3145 398 Q 3181 191 3288 0 L 2700 0 Q 2613 175 2588 409 z M 2541 1666 Q 2234 1541 1622 1453 Q 1275 1403 1131 1340 Q 988 1278 909 1158 Q 831 1038 831 891 Q 831 666 1001 516 Q 1172 366 1500 366 Q 1825 366 2078 508 Q 2331 650 2450 897 Q 2541 1088 2541 1459 L 2541 1666 z " + transform="scale(0.015625)" /><path + id="ArialMT-6e" + d="M 422 0 L 422 3319 L 928 3319 L 928 2847 Q 1294 3394 1984 3394 Q 2284 3394 2536 3286 Q 2788 3178 2913 3003 Q 3038 2828 3088 2588 Q 3119 2431 3119 2041 L 3119 0 L 2556 0 L 2556 2019 Q 2556 2363 2490 2533 Q 2425 2703 2258 2804 Q 2091 2906 1866 2906 Q 1506 2906 1245 2678 Q 984 2450 984 1813 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-64" + d="M 2575 0 L 2575 419 Q 2259 -75 1647 -75 Q 1250 -75 917 144 Q 584 363 401 755 Q 219 1147 219 1656 Q 219 2153 384 2558 Q 550 2963 881 3178 Q 1213 3394 1622 3394 Q 1922 3394 2156 3267 Q 2391 3141 2538 2938 L 2538 4581 L 3097 4581 L 3097 0 L 2575 0 z M 797 1656 Q 797 1019 1065 703 Q 1334 388 1700 388 Q 2069 388 2326 689 Q 2584 991 2584 1609 Q 2584 2291 2321 2609 Q 2059 2928 1675 2928 Q 1300 2928 1048 2622 Q 797 2316 797 1656 z " + transform="scale(0.015625)" /><path + id="ArialMT-6f" + d="M 213 1659 Q 213 2581 725 3025 Q 1153 3394 1769 3394 Q 2453 3394 2887 2945 Q 3322 2497 3322 1706 Q 3322 1066 3130 698 Q 2938 331 2570 128 Q 2203 -75 1769 -75 Q 1072 -75 642 372 Q 213 819 213 1659 z M 791 1659 Q 791 1022 1069 705 Q 1347 388 1769 388 Q 2188 388 2466 706 Q 2744 1025 2744 1678 Q 2744 2294 2464 2611 Q 2184 2928 1769 2928 Q 1347 2928 1069 2612 Q 791 2297 791 1659 z " + transform="scale(0.015625)" /><path + id="ArialMT-6d" + d="M 422 0 L 422 3319 L 925 3319 L 925 2853 Q 1081 3097 1340 3245 Q 1600 3394 1931 3394 Q 2300 3394 2536 3241 Q 2772 3088 2869 2813 Q 3263 3394 3894 3394 Q 4388 3394 4653 3120 Q 4919 2847 4919 2278 L 4919 0 L 4359 0 L 4359 2091 Q 4359 2428 4304 2576 Q 4250 2725 4106 2815 Q 3963 2906 3769 2906 Q 3419 2906 3187 2673 Q 2956 2441 2956 1928 L 2956 0 L 2394 0 L 2394 2156 Q 2394 2531 2256 2718 Q 2119 2906 1806 2906 Q 1569 2906 1367 2781 Q 1166 2656 1075 2415 Q 984 2175 984 1722 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-20" + transform="scale(0.015625)" /><path + id="ArialMT-56" + d="M 1803 0 L 28 4581 L 684 4581 L 1875 1253 Q 2019 853 2116 503 Q 2222 878 2363 1253 L 3600 4581 L 4219 4581 L 2425 0 L 1803 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-72" + d="M 416 0 L 416 3319 L 922 3319 L 922 2816 Q 1116 3169 1280 3281 Q 1444 3394 1641 3394 Q 1925 3394 2219 3213 L 2025 2691 Q 1819 2813 1613 2813 Q 1428 2813 1281 2702 Q 1134 2591 1072 2394 Q 978 2094 978 1738 L 978 0 L 416 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-69" + d="M 425 3934 L 425 4581 L 988 4581 L 988 3934 L 425 3934 z M 425 0 L 425 3319 L 988 3319 L 988 0 L 425 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-62" + d="M 941 0 L 419 0 L 419 4581 L 981 4581 L 981 2947 Q 1338 3394 1891 3394 Q 2197 3394 2470 3270 Q 2744 3147 2920 2923 Q 3097 2700 3197 2384 Q 3297 2069 3297 1709 Q 3297 856 2875 390 Q 2453 -75 1863 -75 Q 1275 -75 941 416 L 941 0 z M 934 1684 Q 934 1088 1097 822 Q 1363 388 1816 388 Q 2184 388 2453 708 Q 2722 1028 2722 1663 Q 2722 2313 2464 2622 Q 2206 2931 1841 2931 Q 1472 2931 1203 2611 Q 934 2291 934 1684 z " + transform="scale(0.015625)" /><path + id="ArialMT-6c" + d="M 409 0 L 409 4581 L 972 4581 L 972 0 L 409 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-65" + d="M 2694 1069 L 3275 997 Q 3138 488 2766 206 Q 2394 -75 1816 -75 Q 1088 -75 661 373 Q 234 822 234 1631 Q 234 2469 665 2931 Q 1097 3394 1784 3394 Q 2450 3394 2872 2941 Q 3294 2488 3294 1666 Q 3294 1616 3291 1516 L 816 1516 Q 847 969 1125 678 Q 1403 388 1819 388 Q 2128 388 2347 550 Q 2566 713 2694 1069 z M 847 1978 L 2700 1978 Q 2663 2397 2488 2606 Q 2219 2931 1791 2931 Q 1403 2931 1139 2672 Q 875 2413 847 1978 z " + transform="scale(0.015625)" /><path + id="DejaVuSans-Oblique-58" + d="M 878 4666 L 1516 4666 L 2316 2981 L 3763 4666 L 4500 4666 L 2578 2438 L 3738 0 L 3103 0 L 2163 1966 L 459 0 L -275 0 L 1906 2509 L 878 4666 z " + transform="scale(0.015625)" /><path + id="DejaVuSans-31" + d="M 794 531 L 1825 531 L 1825 4091 L 703 3866 L 703 4441 L 1819 4666 L 2450 4666 L 2450 531 L 3481 531 L 3481 0 L 794 0 L 794 531 z " + transform="scale(0.015625)" /><path + id="m0354c0f2a0" + d="M 0 0 L -3.5 0 " + style="stroke: #000000; stroke-width: 0.8" /><path + id="DejaVuSans-32" + d="M 1228 531 L 3431 531 L 3431 0 L 469 0 L 469 531 Q 828 903 1448 1529 Q 2069 2156 2228 2338 Q 2531 2678 2651 2914 Q 2772 3150 2772 3378 Q 2772 3750 2511 3984 Q 2250 4219 1831 4219 Q 1534 4219 1204 4116 Q 875 4013 500 3803 L 500 4441 Q 881 4594 1212 4672 Q 1544 4750 1819 4750 Q 2544 4750 2975 4387 Q 3406 4025 3406 3419 Q 3406 3131 3298 2873 Q 3191 2616 2906 2266 Q 2828 2175 2409 1742 Q 1991 1309 1228 531 z " + transform="scale(0.015625)" /><clipPath + id="pe7b120cce3"><rect + x="55.08" + y="51.84" + width="332.64" + height="332.64" + id="rect1065" /></clipPath><style + type="text/css" + id="style1-9">*{stroke-linejoin: round; stroke-linecap: butt}</style><path + id="m3ea1aa41fc" + d="M 0 0 L 0 2 " + style="stroke: #000000; stroke-width: 0.6" /><path + id="ArialMT-43" + d="M 3763 1606 L 4369 1453 Q 4178 706 3683 314 Q 3188 -78 2472 -78 Q 1731 -78 1267 223 Q 803 525 561 1097 Q 319 1669 319 2325 Q 319 3041 592 3573 Q 866 4106 1370 4382 Q 1875 4659 2481 4659 Q 3169 4659 3637 4309 Q 4106 3959 4291 3325 L 3694 3184 Q 3534 3684 3231 3912 Q 2928 4141 2469 4141 Q 1941 4141 1586 3887 Q 1231 3634 1087 3207 Q 944 2781 944 2328 Q 944 1744 1114 1308 Q 1284 872 1643 656 Q 2003 441 2422 441 Q 2931 441 3284 734 Q 3638 1028 3763 1606 z " + transform="scale(0.015625)" /><path + id="ArialMT-6f-6" + d="M 213 1659 Q 213 2581 725 3025 Q 1153 3394 1769 3394 Q 2453 3394 2887 2945 Q 3322 2497 3322 1706 Q 3322 1066 3130 698 Q 2938 331 2570 128 Q 2203 -75 1769 -75 Q 1072 -75 642 372 Q 213 819 213 1659 z M 791 1659 Q 791 1022 1069 705 Q 1347 388 1769 388 Q 2188 388 2466 706 Q 2744 1025 2744 1678 Q 2744 2294 2464 2611 Q 2184 2928 1769 2928 Q 1347 2928 1069 2612 Q 791 2297 791 1659 z " + transform="scale(0.015625)" /><path + id="ArialMT-6e-2" + d="M 422 0 L 422 3319 L 928 3319 L 928 2847 Q 1294 3394 1984 3394 Q 2284 3394 2536 3286 Q 2788 3178 2913 3003 Q 3038 2828 3088 2588 Q 3119 2431 3119 2041 L 3119 0 L 2556 0 L 2556 2019 Q 2556 2363 2490 2533 Q 2425 2703 2258 2804 Q 2091 2906 1866 2906 Q 1506 2906 1245 2678 Q 984 2450 984 1813 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-73" + d="M 197 991 L 753 1078 Q 800 744 1014 566 Q 1228 388 1613 388 Q 2000 388 2187 545 Q 2375 703 2375 916 Q 2375 1106 2209 1216 Q 2094 1291 1634 1406 Q 1016 1563 777 1677 Q 538 1791 414 1992 Q 291 2194 291 2438 Q 291 2659 392 2848 Q 494 3038 669 3163 Q 800 3259 1026 3326 Q 1253 3394 1513 3394 Q 1903 3394 2198 3281 Q 2494 3169 2634 2976 Q 2775 2784 2828 2463 L 2278 2388 Q 2241 2644 2061 2787 Q 1881 2931 1553 2931 Q 1166 2931 1000 2803 Q 834 2675 834 2503 Q 834 2394 903 2306 Q 972 2216 1119 2156 Q 1203 2125 1616 2013 Q 2213 1853 2448 1751 Q 2684 1650 2818 1456 Q 2953 1263 2953 975 Q 2953 694 2789 445 Q 2625 197 2315 61 Q 2006 -75 1616 -75 Q 969 -75 630 194 Q 291 463 197 991 z " + transform="scale(0.015625)" /><path + id="ArialMT-65-7" + d="M 2694 1069 L 3275 997 Q 3138 488 2766 206 Q 2394 -75 1816 -75 Q 1088 -75 661 373 Q 234 822 234 1631 Q 234 2469 665 2931 Q 1097 3394 1784 3394 Q 2450 3394 2872 2941 Q 3294 2488 3294 1666 Q 3294 1616 3291 1516 L 816 1516 Q 847 969 1125 678 Q 1403 388 1819 388 Q 2128 388 2347 550 Q 2566 713 2694 1069 z M 847 1978 L 2700 1978 Q 2663 2397 2488 2606 Q 2219 2931 1791 2931 Q 1403 2931 1139 2672 Q 875 2413 847 1978 z " + transform="scale(0.015625)" /><path + id="ArialMT-71" + d="M 2538 -1272 L 2538 353 Q 2406 169 2170 47 Q 1934 -75 1669 -75 Q 1078 -75 651 397 Q 225 869 225 1691 Q 225 2191 398 2587 Q 572 2984 901 3189 Q 1231 3394 1625 3394 Q 2241 3394 2594 2875 L 2594 3319 L 3100 3319 L 3100 -1272 L 2538 -1272 z M 803 1669 Q 803 1028 1072 708 Q 1341 388 1716 388 Q 2075 388 2334 692 Q 2594 997 2594 1619 Q 2594 2281 2320 2615 Q 2047 2950 1678 2950 Q 1313 2950 1058 2639 Q 803 2328 803 1669 z " + transform="scale(0.015625)" /><path + id="ArialMT-75" + d="M 2597 0 L 2597 488 Q 2209 -75 1544 -75 Q 1250 -75 995 37 Q 741 150 617 320 Q 494 491 444 738 Q 409 903 409 1263 L 409 3319 L 972 3319 L 972 1478 Q 972 1038 1006 884 Q 1059 663 1231 536 Q 1403 409 1656 409 Q 1909 409 2131 539 Q 2353 669 2445 892 Q 2538 1116 2538 1541 L 2538 3319 L 3100 3319 L 3100 0 L 2597 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-63" + d="M 2588 1216 L 3141 1144 Q 3050 572 2676 248 Q 2303 -75 1759 -75 Q 1078 -75 664 370 Q 250 816 250 1647 Q 250 2184 428 2587 Q 606 2991 970 3192 Q 1334 3394 1763 3394 Q 2303 3394 2647 3120 Q 2991 2847 3088 2344 L 2541 2259 Q 2463 2594 2264 2762 Q 2066 2931 1784 2931 Q 1359 2931 1093 2626 Q 828 2322 828 1663 Q 828 994 1084 691 Q 1341 388 1753 388 Q 2084 388 2306 591 Q 2528 794 2588 1216 z " + transform="scale(0.015625)" /><path + id="m38c6e113a3" + d="M 0 0 L -2 0 " + style="stroke: #000000; stroke-width: 0.6" /><path + id="ArialMT-50" + d="M 494 0 L 494 4581 L 2222 4581 Q 2678 4581 2919 4538 Q 3256 4481 3484 4323 Q 3713 4166 3852 3881 Q 3991 3597 3991 3256 Q 3991 2672 3619 2267 Q 3247 1863 2275 1863 L 1100 1863 L 1100 0 L 494 0 z M 1100 2403 L 2284 2403 Q 2872 2403 3119 2622 Q 3366 2841 3366 3238 Q 3366 3525 3220 3729 Q 3075 3934 2838 4000 Q 2684 4041 2272 4041 L 1100 4041 L 1100 2403 z " + transform="scale(0.015625)" /><path + id="ArialMT-72-1" + d="M 416 0 L 416 3319 L 922 3319 L 922 2816 Q 1116 3169 1280 3281 Q 1444 3394 1641 3394 Q 1925 3394 2219 3213 L 2025 2691 Q 1819 2813 1613 2813 Q 1428 2813 1281 2702 Q 1134 2591 1072 2394 Q 978 2094 978 1738 L 978 0 L 416 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-62-1" + d="M 941 0 L 419 0 L 419 4581 L 981 4581 L 981 2947 Q 1338 3394 1891 3394 Q 2197 3394 2470 3270 Q 2744 3147 2920 2923 Q 3097 2700 3197 2384 Q 3297 2069 3297 1709 Q 3297 856 2875 390 Q 2453 -75 1863 -75 Q 1275 -75 941 416 L 941 0 z M 934 1684 Q 934 1088 1097 822 Q 1363 388 1816 388 Q 2184 388 2453 708 Q 2722 1028 2722 1663 Q 2722 2313 2464 2622 Q 2206 2931 1841 2931 Q 1472 2931 1203 2611 Q 934 2291 934 1684 z " + transform="scale(0.015625)" /><path + id="ArialMT-61-2" + d="M 2588 409 Q 2275 144 1986 34 Q 1697 -75 1366 -75 Q 819 -75 525 192 Q 231 459 231 875 Q 231 1119 342 1320 Q 453 1522 633 1644 Q 813 1766 1038 1828 Q 1203 1872 1538 1913 Q 2219 1994 2541 2106 Q 2544 2222 2544 2253 Q 2544 2597 2384 2738 Q 2169 2928 1744 2928 Q 1347 2928 1158 2789 Q 969 2650 878 2297 L 328 2372 Q 403 2725 575 2942 Q 747 3159 1072 3276 Q 1397 3394 1825 3394 Q 2250 3394 2515 3294 Q 2781 3194 2906 3042 Q 3031 2891 3081 2659 Q 3109 2516 3109 2141 L 3109 1391 Q 3109 606 3145 398 Q 3181 191 3288 0 L 2700 0 Q 2613 175 2588 409 z M 2541 1666 Q 2234 1541 1622 1453 Q 1275 1403 1131 1340 Q 988 1278 909 1158 Q 831 1038 831 891 Q 831 666 1001 516 Q 1172 366 1500 366 Q 1825 366 2078 508 Q 2331 650 2450 897 Q 2541 1088 2541 1459 L 2541 1666 z " + transform="scale(0.015625)" /><path + id="ArialMT-69-8" + d="M 425 3934 L 425 4581 L 988 4581 L 988 3934 L 425 3934 z M 425 0 L 425 3319 L 988 3319 L 988 0 L 425 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-6c-0" + d="M 409 0 L 409 4581 L 972 4581 L 972 0 L 409 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-74" + d="M 1650 503 L 1731 6 Q 1494 -44 1306 -44 Q 1000 -44 831 53 Q 663 150 594 308 Q 525 466 525 972 L 525 2881 L 113 2881 L 113 3319 L 525 3319 L 525 4141 L 1084 4478 L 1084 3319 L 1650 3319 L 1650 2881 L 1084 2881 L 1084 941 Q 1084 700 1114 631 Q 1144 563 1211 522 Q 1278 481 1403 481 Q 1497 481 1650 503 z " + transform="scale(0.015625)" /><path + id="ArialMT-79" + d="M 397 -1278 L 334 -750 Q 519 -800 656 -800 Q 844 -800 956 -737 Q 1069 -675 1141 -563 Q 1194 -478 1313 -144 Q 1328 -97 1363 -6 L 103 3319 L 709 3319 L 1400 1397 Q 1534 1031 1641 628 Q 1738 1016 1872 1384 L 2581 3319 L 3144 3319 L 1881 -56 Q 1678 -603 1566 -809 Q 1416 -1088 1222 -1217 Q 1028 -1347 759 -1347 Q 597 -1347 397 -1278 z " + transform="scale(0.015625)" /><clipPath + id="p78f0bd318f"><rect + x="54" + y="51.84" + width="334.8" + height="332.64" + id="rect85" /></clipPath><style + type="text/css" + id="style1-5">*{stroke-linejoin: round; stroke-linecap: butt}</style><path + id="m3ea1aa41fc-5" + d="M 0 0 L 0 2 " + style="stroke: #000000; stroke-width: 0.6" /><path + id="ArialMT-43-8" + d="M 3763 1606 L 4369 1453 Q 4178 706 3683 314 Q 3188 -78 2472 -78 Q 1731 -78 1267 223 Q 803 525 561 1097 Q 319 1669 319 2325 Q 319 3041 592 3573 Q 866 4106 1370 4382 Q 1875 4659 2481 4659 Q 3169 4659 3637 4309 Q 4106 3959 4291 3325 L 3694 3184 Q 3534 3684 3231 3912 Q 2928 4141 2469 4141 Q 1941 4141 1586 3887 Q 1231 3634 1087 3207 Q 944 2781 944 2328 Q 944 1744 1114 1308 Q 1284 872 1643 656 Q 2003 441 2422 441 Q 2931 441 3284 734 Q 3638 1028 3763 1606 z " + transform="scale(0.015625)" /><path + id="ArialMT-6f-1" + d="M 213 1659 Q 213 2581 725 3025 Q 1153 3394 1769 3394 Q 2453 3394 2887 2945 Q 3322 2497 3322 1706 Q 3322 1066 3130 698 Q 2938 331 2570 128 Q 2203 -75 1769 -75 Q 1072 -75 642 372 Q 213 819 213 1659 z M 791 1659 Q 791 1022 1069 705 Q 1347 388 1769 388 Q 2188 388 2466 706 Q 2744 1025 2744 1678 Q 2744 2294 2464 2611 Q 2184 2928 1769 2928 Q 1347 2928 1069 2612 Q 791 2297 791 1659 z " + transform="scale(0.015625)" /><path + id="ArialMT-6e-26" + d="M 422 0 L 422 3319 L 928 3319 L 928 2847 Q 1294 3394 1984 3394 Q 2284 3394 2536 3286 Q 2788 3178 2913 3003 Q 3038 2828 3088 2588 Q 3119 2431 3119 2041 L 3119 0 L 2556 0 L 2556 2019 Q 2556 2363 2490 2533 Q 2425 2703 2258 2804 Q 2091 2906 1866 2906 Q 1506 2906 1245 2678 Q 984 2450 984 1813 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-73-6" + d="M 197 991 L 753 1078 Q 800 744 1014 566 Q 1228 388 1613 388 Q 2000 388 2187 545 Q 2375 703 2375 916 Q 2375 1106 2209 1216 Q 2094 1291 1634 1406 Q 1016 1563 777 1677 Q 538 1791 414 1992 Q 291 2194 291 2438 Q 291 2659 392 2848 Q 494 3038 669 3163 Q 800 3259 1026 3326 Q 1253 3394 1513 3394 Q 1903 3394 2198 3281 Q 2494 3169 2634 2976 Q 2775 2784 2828 2463 L 2278 2388 Q 2241 2644 2061 2787 Q 1881 2931 1553 2931 Q 1166 2931 1000 2803 Q 834 2675 834 2503 Q 834 2394 903 2306 Q 972 2216 1119 2156 Q 1203 2125 1616 2013 Q 2213 1853 2448 1751 Q 2684 1650 2818 1456 Q 2953 1263 2953 975 Q 2953 694 2789 445 Q 2625 197 2315 61 Q 2006 -75 1616 -75 Q 969 -75 630 194 Q 291 463 197 991 z " + transform="scale(0.015625)" /><path + id="ArialMT-65-2" + d="M 2694 1069 L 3275 997 Q 3138 488 2766 206 Q 2394 -75 1816 -75 Q 1088 -75 661 373 Q 234 822 234 1631 Q 234 2469 665 2931 Q 1097 3394 1784 3394 Q 2450 3394 2872 2941 Q 3294 2488 3294 1666 Q 3294 1616 3291 1516 L 816 1516 Q 847 969 1125 678 Q 1403 388 1819 388 Q 2128 388 2347 550 Q 2566 713 2694 1069 z M 847 1978 L 2700 1978 Q 2663 2397 2488 2606 Q 2219 2931 1791 2931 Q 1403 2931 1139 2672 Q 875 2413 847 1978 z " + transform="scale(0.015625)" /><path + id="ArialMT-71-3" + d="M 2538 -1272 L 2538 353 Q 2406 169 2170 47 Q 1934 -75 1669 -75 Q 1078 -75 651 397 Q 225 869 225 1691 Q 225 2191 398 2587 Q 572 2984 901 3189 Q 1231 3394 1625 3394 Q 2241 3394 2594 2875 L 2594 3319 L 3100 3319 L 3100 -1272 L 2538 -1272 z M 803 1669 Q 803 1028 1072 708 Q 1341 388 1716 388 Q 2075 388 2334 692 Q 2594 997 2594 1619 Q 2594 2281 2320 2615 Q 2047 2950 1678 2950 Q 1313 2950 1058 2639 Q 803 2328 803 1669 z " + transform="scale(0.015625)" /><path + id="ArialMT-75-8" + d="M 2597 0 L 2597 488 Q 2209 -75 1544 -75 Q 1250 -75 995 37 Q 741 150 617 320 Q 494 491 444 738 Q 409 903 409 1263 L 409 3319 L 972 3319 L 972 1478 Q 972 1038 1006 884 Q 1059 663 1231 536 Q 1403 409 1656 409 Q 1909 409 2131 539 Q 2353 669 2445 892 Q 2538 1116 2538 1541 L 2538 3319 L 3100 3319 L 3100 0 L 2597 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-63-3" + d="M 2588 1216 L 3141 1144 Q 3050 572 2676 248 Q 2303 -75 1759 -75 Q 1078 -75 664 370 Q 250 816 250 1647 Q 250 2184 428 2587 Q 606 2991 970 3192 Q 1334 3394 1763 3394 Q 2303 3394 2647 3120 Q 2991 2847 3088 2344 L 2541 2259 Q 2463 2594 2264 2762 Q 2066 2931 1784 2931 Q 1359 2931 1093 2626 Q 828 2322 828 1663 Q 828 994 1084 691 Q 1341 388 1753 388 Q 2084 388 2306 591 Q 2528 794 2588 1216 z " + transform="scale(0.015625)" /><path + id="m38c6e113a3-3" + d="M 0 0 L -2 0 " + style="stroke: #000000; stroke-width: 0.6" /><path + id="ArialMT-50-5" + d="M 494 0 L 494 4581 L 2222 4581 Q 2678 4581 2919 4538 Q 3256 4481 3484 4323 Q 3713 4166 3852 3881 Q 3991 3597 3991 3256 Q 3991 2672 3619 2267 Q 3247 1863 2275 1863 L 1100 1863 L 1100 0 L 494 0 z M 1100 2403 L 2284 2403 Q 2872 2403 3119 2622 Q 3366 2841 3366 3238 Q 3366 3525 3220 3729 Q 3075 3934 2838 4000 Q 2684 4041 2272 4041 L 1100 4041 L 1100 2403 z " + transform="scale(0.015625)" /><path + id="ArialMT-72-6" + d="M 416 0 L 416 3319 L 922 3319 L 922 2816 Q 1116 3169 1280 3281 Q 1444 3394 1641 3394 Q 1925 3394 2219 3213 L 2025 2691 Q 1819 2813 1613 2813 Q 1428 2813 1281 2702 Q 1134 2591 1072 2394 Q 978 2094 978 1738 L 978 0 L 416 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-62-9" + d="M 941 0 L 419 0 L 419 4581 L 981 4581 L 981 2947 Q 1338 3394 1891 3394 Q 2197 3394 2470 3270 Q 2744 3147 2920 2923 Q 3097 2700 3197 2384 Q 3297 2069 3297 1709 Q 3297 856 2875 390 Q 2453 -75 1863 -75 Q 1275 -75 941 416 L 941 0 z M 934 1684 Q 934 1088 1097 822 Q 1363 388 1816 388 Q 2184 388 2453 708 Q 2722 1028 2722 1663 Q 2722 2313 2464 2622 Q 2206 2931 1841 2931 Q 1472 2931 1203 2611 Q 934 2291 934 1684 z " + transform="scale(0.015625)" /><path + id="ArialMT-61-8" + d="M 2588 409 Q 2275 144 1986 34 Q 1697 -75 1366 -75 Q 819 -75 525 192 Q 231 459 231 875 Q 231 1119 342 1320 Q 453 1522 633 1644 Q 813 1766 1038 1828 Q 1203 1872 1538 1913 Q 2219 1994 2541 2106 Q 2544 2222 2544 2253 Q 2544 2597 2384 2738 Q 2169 2928 1744 2928 Q 1347 2928 1158 2789 Q 969 2650 878 2297 L 328 2372 Q 403 2725 575 2942 Q 747 3159 1072 3276 Q 1397 3394 1825 3394 Q 2250 3394 2515 3294 Q 2781 3194 2906 3042 Q 3031 2891 3081 2659 Q 3109 2516 3109 2141 L 3109 1391 Q 3109 606 3145 398 Q 3181 191 3288 0 L 2700 0 Q 2613 175 2588 409 z M 2541 1666 Q 2234 1541 1622 1453 Q 1275 1403 1131 1340 Q 988 1278 909 1158 Q 831 1038 831 891 Q 831 666 1001 516 Q 1172 366 1500 366 Q 1825 366 2078 508 Q 2331 650 2450 897 Q 2541 1088 2541 1459 L 2541 1666 z " + transform="scale(0.015625)" /><path + id="ArialMT-69-7" + d="M 425 3934 L 425 4581 L 988 4581 L 988 3934 L 425 3934 z M 425 0 L 425 3319 L 988 3319 L 988 0 L 425 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-6c-04" + d="M 409 0 L 409 4581 L 972 4581 L 972 0 L 409 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-74-9" + d="M 1650 503 L 1731 6 Q 1494 -44 1306 -44 Q 1000 -44 831 53 Q 663 150 594 308 Q 525 466 525 972 L 525 2881 L 113 2881 L 113 3319 L 525 3319 L 525 4141 L 1084 4478 L 1084 3319 L 1650 3319 L 1650 2881 L 1084 2881 L 1084 941 Q 1084 700 1114 631 Q 1144 563 1211 522 Q 1278 481 1403 481 Q 1497 481 1650 503 z " + transform="scale(0.015625)" /><path + id="ArialMT-79-6" + d="M 397 -1278 L 334 -750 Q 519 -800 656 -800 Q 844 -800 956 -737 Q 1069 -675 1141 -563 Q 1194 -478 1313 -144 Q 1328 -97 1363 -6 L 103 3319 L 709 3319 L 1400 1397 Q 1534 1031 1641 628 Q 1738 1016 1872 1384 L 2581 3319 L 3144 3319 L 1881 -56 Q 1678 -603 1566 -809 Q 1416 -1088 1222 -1217 Q 1028 -1347 759 -1347 Q 597 -1347 397 -1278 z " + transform="scale(0.015625)" /><clipPath + id="p78f0bd318f-5"><rect + x="54" + y="51.84" + width="334.8" + height="332.64" + id="rect85-0" /></clipPath><style + type="text/css" + id="style1-95">*{stroke-linejoin: round; stroke-linecap: butt}</style><path + id="C0_0_44cb9d1369" + d="M 0 1.581139 C 0.419323 1.581139 0.821528 1.41454 1.118034 1.118034 C 1.41454 0.821528 1.581139 0.419323 1.581139 -0 C 1.581139 -0.419323 1.41454 -0.821528 1.118034 -1.118034 C 0.821528 -1.41454 0.419323 -1.581139 0 -1.581139 C -0.419323 -1.581139 -0.821528 -1.41454 -1.118034 -1.118034 C -1.41454 -0.821528 -1.581139 -0.419323 -1.581139 0 C -1.581139 0.419323 -1.41454 0.821528 -1.118034 1.118034 C -0.821528 1.41454 -0.419323 1.581139 0 1.581139 z " /><path + id="m0ca75668e4" + d="M 0 0 L 0 3.5 " + style="stroke: #000000; stroke-width: 0.8" /><path + id="ArialMT-52-6" + d="M 503 0 L 503 4581 L 2534 4581 Q 3147 4581 3465 4457 Q 3784 4334 3975 4021 Q 4166 3709 4166 3331 Q 4166 2844 3850 2509 Q 3534 2175 2875 2084 Q 3116 1969 3241 1856 Q 3506 1613 3744 1247 L 4541 0 L 3778 0 L 3172 953 Q 2906 1366 2734 1584 Q 2563 1803 2427 1890 Q 2291 1978 2150 2013 Q 2047 2034 1813 2034 L 1109 2034 L 1109 0 L 503 0 z M 1109 2559 L 2413 2559 Q 2828 2559 3062 2645 Q 3297 2731 3419 2920 Q 3541 3109 3541 3331 Q 3541 3656 3305 3865 Q 3069 4075 2559 4075 L 1109 4075 L 1109 2559 z " + transform="scale(0.015625)" /><path + id="ArialMT-61-24" + d="M 2588 409 Q 2275 144 1986 34 Q 1697 -75 1366 -75 Q 819 -75 525 192 Q 231 459 231 875 Q 231 1119 342 1320 Q 453 1522 633 1644 Q 813 1766 1038 1828 Q 1203 1872 1538 1913 Q 2219 1994 2541 2106 Q 2544 2222 2544 2253 Q 2544 2597 2384 2738 Q 2169 2928 1744 2928 Q 1347 2928 1158 2789 Q 969 2650 878 2297 L 328 2372 Q 403 2725 575 2942 Q 747 3159 1072 3276 Q 1397 3394 1825 3394 Q 2250 3394 2515 3294 Q 2781 3194 2906 3042 Q 3031 2891 3081 2659 Q 3109 2516 3109 2141 L 3109 1391 Q 3109 606 3145 398 Q 3181 191 3288 0 L 2700 0 Q 2613 175 2588 409 z M 2541 1666 Q 2234 1541 1622 1453 Q 1275 1403 1131 1340 Q 988 1278 909 1158 Q 831 1038 831 891 Q 831 666 1001 516 Q 1172 366 1500 366 Q 1825 366 2078 508 Q 2331 650 2450 897 Q 2541 1088 2541 1459 L 2541 1666 z " + transform="scale(0.015625)" /><path + id="ArialMT-6e-5" + d="M 422 0 L 422 3319 L 928 3319 L 928 2847 Q 1294 3394 1984 3394 Q 2284 3394 2536 3286 Q 2788 3178 2913 3003 Q 3038 2828 3088 2588 Q 3119 2431 3119 2041 L 3119 0 L 2556 0 L 2556 2019 Q 2556 2363 2490 2533 Q 2425 2703 2258 2804 Q 2091 2906 1866 2906 Q 1506 2906 1245 2678 Q 984 2450 984 1813 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-64-7" + d="M 2575 0 L 2575 419 Q 2259 -75 1647 -75 Q 1250 -75 917 144 Q 584 363 401 755 Q 219 1147 219 1656 Q 219 2153 384 2558 Q 550 2963 881 3178 Q 1213 3394 1622 3394 Q 1922 3394 2156 3267 Q 2391 3141 2538 2938 L 2538 4581 L 3097 4581 L 3097 0 L 2575 0 z M 797 1656 Q 797 1019 1065 703 Q 1334 388 1700 388 Q 2069 388 2326 689 Q 2584 991 2584 1609 Q 2584 2291 2321 2609 Q 2059 2928 1675 2928 Q 1300 2928 1048 2622 Q 797 2316 797 1656 z " + transform="scale(0.015625)" /><path + id="ArialMT-6f-3" + d="M 213 1659 Q 213 2581 725 3025 Q 1153 3394 1769 3394 Q 2453 3394 2887 2945 Q 3322 2497 3322 1706 Q 3322 1066 3130 698 Q 2938 331 2570 128 Q 2203 -75 1769 -75 Q 1072 -75 642 372 Q 213 819 213 1659 z M 791 1659 Q 791 1022 1069 705 Q 1347 388 1769 388 Q 2188 388 2466 706 Q 2744 1025 2744 1678 Q 2744 2294 2464 2611 Q 2184 2928 1769 2928 Q 1347 2928 1069 2612 Q 791 2297 791 1659 z " + transform="scale(0.015625)" /><path + id="ArialMT-6d-9" + d="M 422 0 L 422 3319 L 925 3319 L 925 2853 Q 1081 3097 1340 3245 Q 1600 3394 1931 3394 Q 2300 3394 2536 3241 Q 2772 3088 2869 2813 Q 3263 3394 3894 3394 Q 4388 3394 4653 3120 Q 4919 2847 4919 2278 L 4919 0 L 4359 0 L 4359 2091 Q 4359 2428 4304 2576 Q 4250 2725 4106 2815 Q 3963 2906 3769 2906 Q 3419 2906 3187 2673 Q 2956 2441 2956 1928 L 2956 0 L 2394 0 L 2394 2156 Q 2394 2531 2256 2718 Q 2119 2906 1806 2906 Q 1569 2906 1367 2781 Q 1166 2656 1075 2415 Q 984 2175 984 1722 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-20-2" + transform="scale(0.015625)" /><path + id="ArialMT-56-1" + d="M 1803 0 L 28 4581 L 684 4581 L 1875 1253 Q 2019 853 2116 503 Q 2222 878 2363 1253 L 3600 4581 L 4219 4581 L 2425 0 L 1803 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-72-66" + d="M 416 0 L 416 3319 L 922 3319 L 922 2816 Q 1116 3169 1280 3281 Q 1444 3394 1641 3394 Q 1925 3394 2219 3213 L 2025 2691 Q 1819 2813 1613 2813 Q 1428 2813 1281 2702 Q 1134 2591 1072 2394 Q 978 2094 978 1738 L 978 0 L 416 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-69-4" + d="M 425 3934 L 425 4581 L 988 4581 L 988 3934 L 425 3934 z M 425 0 L 425 3319 L 988 3319 L 988 0 L 425 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-62-2" + d="M 941 0 L 419 0 L 419 4581 L 981 4581 L 981 2947 Q 1338 3394 1891 3394 Q 2197 3394 2470 3270 Q 2744 3147 2920 2923 Q 3097 2700 3197 2384 Q 3297 2069 3297 1709 Q 3297 856 2875 390 Q 2453 -75 1863 -75 Q 1275 -75 941 416 L 941 0 z M 934 1684 Q 934 1088 1097 822 Q 1363 388 1816 388 Q 2184 388 2453 708 Q 2722 1028 2722 1663 Q 2722 2313 2464 2622 Q 2206 2931 1841 2931 Q 1472 2931 1203 2611 Q 934 2291 934 1684 z " + transform="scale(0.015625)" /><path + id="ArialMT-6c-042" + d="M 409 0 L 409 4581 L 972 4581 L 972 0 L 409 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-65-6" + d="M 2694 1069 L 3275 997 Q 3138 488 2766 206 Q 2394 -75 1816 -75 Q 1088 -75 661 373 Q 234 822 234 1631 Q 234 2469 665 2931 Q 1097 3394 1784 3394 Q 2450 3394 2872 2941 Q 3294 2488 3294 1666 Q 3294 1616 3291 1516 L 816 1516 Q 847 969 1125 678 Q 1403 388 1819 388 Q 2128 388 2347 550 Q 2566 713 2694 1069 z M 847 1978 L 2700 1978 Q 2663 2397 2488 2606 Q 2219 2931 1791 2931 Q 1403 2931 1139 2672 Q 875 2413 847 1978 z " + transform="scale(0.015625)" /><path + id="DejaVuSans-Oblique-58-9" + d="M 878 4666 L 1516 4666 L 2316 2981 L 3763 4666 L 4500 4666 L 2578 2438 L 3738 0 L 3103 0 L 2163 1966 L 459 0 L -275 0 L 1906 2509 L 878 4666 z " + transform="scale(0.015625)" /><path + id="DejaVuSans-31-5" + d="M 794 531 L 1825 531 L 1825 4091 L 703 3866 L 703 4441 L 1819 4666 L 2450 4666 L 2450 531 L 3481 531 L 3481 0 L 794 0 L 794 531 z " + transform="scale(0.015625)" /><path + id="m4d2be22d86" + d="M 0 0 L -3.5 0 " + style="stroke: #000000; stroke-width: 0.8" /><path + id="DejaVuSans-32-6" + d="M 1228 531 L 3431 531 L 3431 0 L 469 0 L 469 531 Q 828 903 1448 1529 Q 2069 2156 2228 2338 Q 2531 2678 2651 2914 Q 2772 3150 2772 3378 Q 2772 3750 2511 3984 Q 2250 4219 1831 4219 Q 1534 4219 1204 4116 Q 875 4013 500 3803 L 500 4441 Q 881 4594 1212 4672 Q 1544 4750 1819 4750 Q 2544 4750 2975 4387 Q 3406 4025 3406 3419 Q 3406 3131 3298 2873 Q 3191 2616 2906 2266 Q 2828 2175 2409 1742 Q 1991 1309 1228 531 z " + transform="scale(0.015625)" /><clipPath + id="pa8ac0eece6"><rect + x="55.08" + y="51.84" + width="332.64" + height="332.64" + id="rect1065-2" /></clipPath><style + type="text/css" + id="style1-2">*{stroke-linejoin: round; stroke-linecap: butt}</style><path + id="m0e52a5a8ad" + d="M 0 0 L 0 2 " + style="stroke: #000000; stroke-width: 0.6" /><path + id="ArialMT-43-0" + d="M 3763 1606 L 4369 1453 Q 4178 706 3683 314 Q 3188 -78 2472 -78 Q 1731 -78 1267 223 Q 803 525 561 1097 Q 319 1669 319 2325 Q 319 3041 592 3573 Q 866 4106 1370 4382 Q 1875 4659 2481 4659 Q 3169 4659 3637 4309 Q 4106 3959 4291 3325 L 3694 3184 Q 3534 3684 3231 3912 Q 2928 4141 2469 4141 Q 1941 4141 1586 3887 Q 1231 3634 1087 3207 Q 944 2781 944 2328 Q 944 1744 1114 1308 Q 1284 872 1643 656 Q 2003 441 2422 441 Q 2931 441 3284 734 Q 3638 1028 3763 1606 z " + transform="scale(0.015625)" /><path + id="ArialMT-6f-4" + d="M 213 1659 Q 213 2581 725 3025 Q 1153 3394 1769 3394 Q 2453 3394 2887 2945 Q 3322 2497 3322 1706 Q 3322 1066 3130 698 Q 2938 331 2570 128 Q 2203 -75 1769 -75 Q 1072 -75 642 372 Q 213 819 213 1659 z M 791 1659 Q 791 1022 1069 705 Q 1347 388 1769 388 Q 2188 388 2466 706 Q 2744 1025 2744 1678 Q 2744 2294 2464 2611 Q 2184 2928 1769 2928 Q 1347 2928 1069 2612 Q 791 2297 791 1659 z " + transform="scale(0.015625)" /><path + id="ArialMT-6e-21" + d="M 422 0 L 422 3319 L 928 3319 L 928 2847 Q 1294 3394 1984 3394 Q 2284 3394 2536 3286 Q 2788 3178 2913 3003 Q 3038 2828 3088 2588 Q 3119 2431 3119 2041 L 3119 0 L 2556 0 L 2556 2019 Q 2556 2363 2490 2533 Q 2425 2703 2258 2804 Q 2091 2906 1866 2906 Q 1506 2906 1245 2678 Q 984 2450 984 1813 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-73-5" + d="M 197 991 L 753 1078 Q 800 744 1014 566 Q 1228 388 1613 388 Q 2000 388 2187 545 Q 2375 703 2375 916 Q 2375 1106 2209 1216 Q 2094 1291 1634 1406 Q 1016 1563 777 1677 Q 538 1791 414 1992 Q 291 2194 291 2438 Q 291 2659 392 2848 Q 494 3038 669 3163 Q 800 3259 1026 3326 Q 1253 3394 1513 3394 Q 1903 3394 2198 3281 Q 2494 3169 2634 2976 Q 2775 2784 2828 2463 L 2278 2388 Q 2241 2644 2061 2787 Q 1881 2931 1553 2931 Q 1166 2931 1000 2803 Q 834 2675 834 2503 Q 834 2394 903 2306 Q 972 2216 1119 2156 Q 1203 2125 1616 2013 Q 2213 1853 2448 1751 Q 2684 1650 2818 1456 Q 2953 1263 2953 975 Q 2953 694 2789 445 Q 2625 197 2315 61 Q 2006 -75 1616 -75 Q 969 -75 630 194 Q 291 463 197 991 z " + transform="scale(0.015625)" /><path + id="ArialMT-65-4" + d="M 2694 1069 L 3275 997 Q 3138 488 2766 206 Q 2394 -75 1816 -75 Q 1088 -75 661 373 Q 234 822 234 1631 Q 234 2469 665 2931 Q 1097 3394 1784 3394 Q 2450 3394 2872 2941 Q 3294 2488 3294 1666 Q 3294 1616 3291 1516 L 816 1516 Q 847 969 1125 678 Q 1403 388 1819 388 Q 2128 388 2347 550 Q 2566 713 2694 1069 z M 847 1978 L 2700 1978 Q 2663 2397 2488 2606 Q 2219 2931 1791 2931 Q 1403 2931 1139 2672 Q 875 2413 847 1978 z " + transform="scale(0.015625)" /><path + id="ArialMT-71-34" + d="M 2538 -1272 L 2538 353 Q 2406 169 2170 47 Q 1934 -75 1669 -75 Q 1078 -75 651 397 Q 225 869 225 1691 Q 225 2191 398 2587 Q 572 2984 901 3189 Q 1231 3394 1625 3394 Q 2241 3394 2594 2875 L 2594 3319 L 3100 3319 L 3100 -1272 L 2538 -1272 z M 803 1669 Q 803 1028 1072 708 Q 1341 388 1716 388 Q 2075 388 2334 692 Q 2594 997 2594 1619 Q 2594 2281 2320 2615 Q 2047 2950 1678 2950 Q 1313 2950 1058 2639 Q 803 2328 803 1669 z " + transform="scale(0.015625)" /><path + id="ArialMT-75-7" + d="M 2597 0 L 2597 488 Q 2209 -75 1544 -75 Q 1250 -75 995 37 Q 741 150 617 320 Q 494 491 444 738 Q 409 903 409 1263 L 409 3319 L 972 3319 L 972 1478 Q 972 1038 1006 884 Q 1059 663 1231 536 Q 1403 409 1656 409 Q 1909 409 2131 539 Q 2353 669 2445 892 Q 2538 1116 2538 1541 L 2538 3319 L 3100 3319 L 3100 0 L 2597 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-63-2" + d="M 2588 1216 L 3141 1144 Q 3050 572 2676 248 Q 2303 -75 1759 -75 Q 1078 -75 664 370 Q 250 816 250 1647 Q 250 2184 428 2587 Q 606 2991 970 3192 Q 1334 3394 1763 3394 Q 2303 3394 2647 3120 Q 2991 2847 3088 2344 L 2541 2259 Q 2463 2594 2264 2762 Q 2066 2931 1784 2931 Q 1359 2931 1093 2626 Q 828 2322 828 1663 Q 828 994 1084 691 Q 1341 388 1753 388 Q 2084 388 2306 591 Q 2528 794 2588 1216 z " + transform="scale(0.015625)" /><path + id="mfa9b054434" + d="M 0 0 L -2 0 " + style="stroke: #000000; stroke-width: 0.6" /><path + id="ArialMT-50-8" + d="M 494 0 L 494 4581 L 2222 4581 Q 2678 4581 2919 4538 Q 3256 4481 3484 4323 Q 3713 4166 3852 3881 Q 3991 3597 3991 3256 Q 3991 2672 3619 2267 Q 3247 1863 2275 1863 L 1100 1863 L 1100 0 L 494 0 z M 1100 2403 L 2284 2403 Q 2872 2403 3119 2622 Q 3366 2841 3366 3238 Q 3366 3525 3220 3729 Q 3075 3934 2838 4000 Q 2684 4041 2272 4041 L 1100 4041 L 1100 2403 z " + transform="scale(0.015625)" /><path + id="ArialMT-72-0" + d="M 416 0 L 416 3319 L 922 3319 L 922 2816 Q 1116 3169 1280 3281 Q 1444 3394 1641 3394 Q 1925 3394 2219 3213 L 2025 2691 Q 1819 2813 1613 2813 Q 1428 2813 1281 2702 Q 1134 2591 1072 2394 Q 978 2094 978 1738 L 978 0 L 416 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-62-28" + d="M 941 0 L 419 0 L 419 4581 L 981 4581 L 981 2947 Q 1338 3394 1891 3394 Q 2197 3394 2470 3270 Q 2744 3147 2920 2923 Q 3097 2700 3197 2384 Q 3297 2069 3297 1709 Q 3297 856 2875 390 Q 2453 -75 1863 -75 Q 1275 -75 941 416 L 941 0 z M 934 1684 Q 934 1088 1097 822 Q 1363 388 1816 388 Q 2184 388 2453 708 Q 2722 1028 2722 1663 Q 2722 2313 2464 2622 Q 2206 2931 1841 2931 Q 1472 2931 1203 2611 Q 934 2291 934 1684 z " + transform="scale(0.015625)" /><path + id="ArialMT-61-4" + d="M 2588 409 Q 2275 144 1986 34 Q 1697 -75 1366 -75 Q 819 -75 525 192 Q 231 459 231 875 Q 231 1119 342 1320 Q 453 1522 633 1644 Q 813 1766 1038 1828 Q 1203 1872 1538 1913 Q 2219 1994 2541 2106 Q 2544 2222 2544 2253 Q 2544 2597 2384 2738 Q 2169 2928 1744 2928 Q 1347 2928 1158 2789 Q 969 2650 878 2297 L 328 2372 Q 403 2725 575 2942 Q 747 3159 1072 3276 Q 1397 3394 1825 3394 Q 2250 3394 2515 3294 Q 2781 3194 2906 3042 Q 3031 2891 3081 2659 Q 3109 2516 3109 2141 L 3109 1391 Q 3109 606 3145 398 Q 3181 191 3288 0 L 2700 0 Q 2613 175 2588 409 z M 2541 1666 Q 2234 1541 1622 1453 Q 1275 1403 1131 1340 Q 988 1278 909 1158 Q 831 1038 831 891 Q 831 666 1001 516 Q 1172 366 1500 366 Q 1825 366 2078 508 Q 2331 650 2450 897 Q 2541 1088 2541 1459 L 2541 1666 z " + transform="scale(0.015625)" /><path + id="ArialMT-69-3" + d="M 425 3934 L 425 4581 L 988 4581 L 988 3934 L 425 3934 z M 425 0 L 425 3319 L 988 3319 L 988 0 L 425 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-6c-8" + d="M 409 0 L 409 4581 L 972 4581 L 972 0 L 409 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-74-5" + d="M 1650 503 L 1731 6 Q 1494 -44 1306 -44 Q 1000 -44 831 53 Q 663 150 594 308 Q 525 466 525 972 L 525 2881 L 113 2881 L 113 3319 L 525 3319 L 525 4141 L 1084 4478 L 1084 3319 L 1650 3319 L 1650 2881 L 1084 2881 L 1084 941 Q 1084 700 1114 631 Q 1144 563 1211 522 Q 1278 481 1403 481 Q 1497 481 1650 503 z " + transform="scale(0.015625)" /><path + id="ArialMT-79-4" + d="M 397 -1278 L 334 -750 Q 519 -800 656 -800 Q 844 -800 956 -737 Q 1069 -675 1141 -563 Q 1194 -478 1313 -144 Q 1328 -97 1363 -6 L 103 3319 L 709 3319 L 1400 1397 Q 1534 1031 1641 628 Q 1738 1016 1872 1384 L 2581 3319 L 3144 3319 L 1881 -56 Q 1678 -603 1566 -809 Q 1416 -1088 1222 -1217 Q 1028 -1347 759 -1347 Q 597 -1347 397 -1278 z " + transform="scale(0.015625)" /><clipPath + id="pfddeee6810"><rect + x="54" + y="51.84" + width="334.8" + height="332.64" + id="rect85-7" /></clipPath><style + type="text/css" + id="style1-3">*{stroke-linejoin: round; stroke-linecap: butt}</style><path + id="C0_0_44cb9d1369-3" + d="M 0 1.581139 C 0.419323 1.581139 0.821528 1.41454 1.118034 1.118034 C 1.41454 0.821528 1.581139 0.419323 1.581139 -0 C 1.581139 -0.419323 1.41454 -0.821528 1.118034 -1.118034 C 0.821528 -1.41454 0.419323 -1.581139 0 -1.581139 C -0.419323 -1.581139 -0.821528 -1.41454 -1.118034 -1.118034 C -1.41454 -0.821528 -1.581139 -0.419323 -1.581139 0 C -1.581139 0.419323 -1.41454 0.821528 -1.118034 1.118034 C -0.821528 1.41454 -0.419323 1.581139 0 1.581139 z " /><path + id="m0ca75668e4-1" + d="M 0 0 L 0 3.5 " + style="stroke: #000000; stroke-width: 0.8" /><path + id="ArialMT-52-5" + d="M 503 0 L 503 4581 L 2534 4581 Q 3147 4581 3465 4457 Q 3784 4334 3975 4021 Q 4166 3709 4166 3331 Q 4166 2844 3850 2509 Q 3534 2175 2875 2084 Q 3116 1969 3241 1856 Q 3506 1613 3744 1247 L 4541 0 L 3778 0 L 3172 953 Q 2906 1366 2734 1584 Q 2563 1803 2427 1890 Q 2291 1978 2150 2013 Q 2047 2034 1813 2034 L 1109 2034 L 1109 0 L 503 0 z M 1109 2559 L 2413 2559 Q 2828 2559 3062 2645 Q 3297 2731 3419 2920 Q 3541 3109 3541 3331 Q 3541 3656 3305 3865 Q 3069 4075 2559 4075 L 1109 4075 L 1109 2559 z " + transform="scale(0.015625)" /><path + id="ArialMT-61-3" + d="M 2588 409 Q 2275 144 1986 34 Q 1697 -75 1366 -75 Q 819 -75 525 192 Q 231 459 231 875 Q 231 1119 342 1320 Q 453 1522 633 1644 Q 813 1766 1038 1828 Q 1203 1872 1538 1913 Q 2219 1994 2541 2106 Q 2544 2222 2544 2253 Q 2544 2597 2384 2738 Q 2169 2928 1744 2928 Q 1347 2928 1158 2789 Q 969 2650 878 2297 L 328 2372 Q 403 2725 575 2942 Q 747 3159 1072 3276 Q 1397 3394 1825 3394 Q 2250 3394 2515 3294 Q 2781 3194 2906 3042 Q 3031 2891 3081 2659 Q 3109 2516 3109 2141 L 3109 1391 Q 3109 606 3145 398 Q 3181 191 3288 0 L 2700 0 Q 2613 175 2588 409 z M 2541 1666 Q 2234 1541 1622 1453 Q 1275 1403 1131 1340 Q 988 1278 909 1158 Q 831 1038 831 891 Q 831 666 1001 516 Q 1172 366 1500 366 Q 1825 366 2078 508 Q 2331 650 2450 897 Q 2541 1088 2541 1459 L 2541 1666 z " + transform="scale(0.015625)" /><path + id="ArialMT-6e-58" + d="M 422 0 L 422 3319 L 928 3319 L 928 2847 Q 1294 3394 1984 3394 Q 2284 3394 2536 3286 Q 2788 3178 2913 3003 Q 3038 2828 3088 2588 Q 3119 2431 3119 2041 L 3119 0 L 2556 0 L 2556 2019 Q 2556 2363 2490 2533 Q 2425 2703 2258 2804 Q 2091 2906 1866 2906 Q 1506 2906 1245 2678 Q 984 2450 984 1813 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-64-0" + d="M 2575 0 L 2575 419 Q 2259 -75 1647 -75 Q 1250 -75 917 144 Q 584 363 401 755 Q 219 1147 219 1656 Q 219 2153 384 2558 Q 550 2963 881 3178 Q 1213 3394 1622 3394 Q 1922 3394 2156 3267 Q 2391 3141 2538 2938 L 2538 4581 L 3097 4581 L 3097 0 L 2575 0 z M 797 1656 Q 797 1019 1065 703 Q 1334 388 1700 388 Q 2069 388 2326 689 Q 2584 991 2584 1609 Q 2584 2291 2321 2609 Q 2059 2928 1675 2928 Q 1300 2928 1048 2622 Q 797 2316 797 1656 z " + transform="scale(0.015625)" /><path + id="ArialMT-6f-41" + d="M 213 1659 Q 213 2581 725 3025 Q 1153 3394 1769 3394 Q 2453 3394 2887 2945 Q 3322 2497 3322 1706 Q 3322 1066 3130 698 Q 2938 331 2570 128 Q 2203 -75 1769 -75 Q 1072 -75 642 372 Q 213 819 213 1659 z M 791 1659 Q 791 1022 1069 705 Q 1347 388 1769 388 Q 2188 388 2466 706 Q 2744 1025 2744 1678 Q 2744 2294 2464 2611 Q 2184 2928 1769 2928 Q 1347 2928 1069 2612 Q 791 2297 791 1659 z " + transform="scale(0.015625)" /><path + id="ArialMT-6d-2" + d="M 422 0 L 422 3319 L 925 3319 L 925 2853 Q 1081 3097 1340 3245 Q 1600 3394 1931 3394 Q 2300 3394 2536 3241 Q 2772 3088 2869 2813 Q 3263 3394 3894 3394 Q 4388 3394 4653 3120 Q 4919 2847 4919 2278 L 4919 0 L 4359 0 L 4359 2091 Q 4359 2428 4304 2576 Q 4250 2725 4106 2815 Q 3963 2906 3769 2906 Q 3419 2906 3187 2673 Q 2956 2441 2956 1928 L 2956 0 L 2394 0 L 2394 2156 Q 2394 2531 2256 2718 Q 2119 2906 1806 2906 Q 1569 2906 1367 2781 Q 1166 2656 1075 2415 Q 984 2175 984 1722 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-20-7" + transform="scale(0.015625)" /><path + id="ArialMT-56-3" + d="M 1803 0 L 28 4581 L 684 4581 L 1875 1253 Q 2019 853 2116 503 Q 2222 878 2363 1253 L 3600 4581 L 4219 4581 L 2425 0 L 1803 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-72-60" + d="M 416 0 L 416 3319 L 922 3319 L 922 2816 Q 1116 3169 1280 3281 Q 1444 3394 1641 3394 Q 1925 3394 2219 3213 L 2025 2691 Q 1819 2813 1613 2813 Q 1428 2813 1281 2702 Q 1134 2591 1072 2394 Q 978 2094 978 1738 L 978 0 L 416 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-69-71" + d="M 425 3934 L 425 4581 L 988 4581 L 988 3934 L 425 3934 z M 425 0 L 425 3319 L 988 3319 L 988 0 L 425 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-62-5" + d="M 941 0 L 419 0 L 419 4581 L 981 4581 L 981 2947 Q 1338 3394 1891 3394 Q 2197 3394 2470 3270 Q 2744 3147 2920 2923 Q 3097 2700 3197 2384 Q 3297 2069 3297 1709 Q 3297 856 2875 390 Q 2453 -75 1863 -75 Q 1275 -75 941 416 L 941 0 z M 934 1684 Q 934 1088 1097 822 Q 1363 388 1816 388 Q 2184 388 2453 708 Q 2722 1028 2722 1663 Q 2722 2313 2464 2622 Q 2206 2931 1841 2931 Q 1472 2931 1203 2611 Q 934 2291 934 1684 z " + transform="scale(0.015625)" /><path + id="ArialMT-6c-6" + d="M 409 0 L 409 4581 L 972 4581 L 972 0 L 409 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-65-0" + d="M 2694 1069 L 3275 997 Q 3138 488 2766 206 Q 2394 -75 1816 -75 Q 1088 -75 661 373 Q 234 822 234 1631 Q 234 2469 665 2931 Q 1097 3394 1784 3394 Q 2450 3394 2872 2941 Q 3294 2488 3294 1666 Q 3294 1616 3291 1516 L 816 1516 Q 847 969 1125 678 Q 1403 388 1819 388 Q 2128 388 2347 550 Q 2566 713 2694 1069 z M 847 1978 L 2700 1978 Q 2663 2397 2488 2606 Q 2219 2931 1791 2931 Q 1403 2931 1139 2672 Q 875 2413 847 1978 z " + transform="scale(0.015625)" /><path + id="DejaVuSans-Oblique-58-5" + d="M 878 4666 L 1516 4666 L 2316 2981 L 3763 4666 L 4500 4666 L 2578 2438 L 3738 0 L 3103 0 L 2163 1966 L 459 0 L -275 0 L 1906 2509 L 878 4666 z " + transform="scale(0.015625)" /><path + id="DejaVuSans-31-0" + d="M 794 531 L 1825 531 L 1825 4091 L 703 3866 L 703 4441 L 1819 4666 L 2450 4666 L 2450 531 L 3481 531 L 3481 0 L 794 0 L 794 531 z " + transform="scale(0.015625)" /><path + id="m4d2be22d86-2" + d="M 0 0 L -3.5 0 " + style="stroke: #000000; stroke-width: 0.8" /><path + id="DejaVuSans-32-3" + d="M 1228 531 L 3431 531 L 3431 0 L 469 0 L 469 531 Q 828 903 1448 1529 Q 2069 2156 2228 2338 Q 2531 2678 2651 2914 Q 2772 3150 2772 3378 Q 2772 3750 2511 3984 Q 2250 4219 1831 4219 Q 1534 4219 1204 4116 Q 875 4013 500 3803 L 500 4441 Q 881 4594 1212 4672 Q 1544 4750 1819 4750 Q 2544 4750 2975 4387 Q 3406 4025 3406 3419 Q 3406 3131 3298 2873 Q 3191 2616 2906 2266 Q 2828 2175 2409 1742 Q 1991 1309 1228 531 z " + transform="scale(0.015625)" /><clipPath + id="pa8ac0eece6-9"><rect + x="55.08" + y="51.84" + width="332.64" + height="332.64" + id="rect1065-0" /></clipPath><style + type="text/css" + id="style1-4">*{stroke-linejoin: round; stroke-linecap: butt}</style><path + id="C0_0_44cb9d1369-0" + d="M 0 1.581139 C 0.419323 1.581139 0.821528 1.41454 1.118034 1.118034 C 1.41454 0.821528 1.581139 0.419323 1.581139 -0 C 1.581139 -0.419323 1.41454 -0.821528 1.118034 -1.118034 C 0.821528 -1.41454 0.419323 -1.581139 0 -1.581139 C -0.419323 -1.581139 -0.821528 -1.41454 -1.118034 -1.118034 C -1.41454 -0.821528 -1.581139 -0.419323 -1.581139 0 C -1.581139 0.419323 -1.41454 0.821528 -1.118034 1.118034 C -0.821528 1.41454 -0.419323 1.581139 0 1.581139 z " /><path + id="m0ca75668e4-6" + d="M 0 0 L 0 3.5 " + style="stroke: #000000; stroke-width: 0.8" /><path + id="ArialMT-52-8" + d="M 503 0 L 503 4581 L 2534 4581 Q 3147 4581 3465 4457 Q 3784 4334 3975 4021 Q 4166 3709 4166 3331 Q 4166 2844 3850 2509 Q 3534 2175 2875 2084 Q 3116 1969 3241 1856 Q 3506 1613 3744 1247 L 4541 0 L 3778 0 L 3172 953 Q 2906 1366 2734 1584 Q 2563 1803 2427 1890 Q 2291 1978 2150 2013 Q 2047 2034 1813 2034 L 1109 2034 L 1109 0 L 503 0 z M 1109 2559 L 2413 2559 Q 2828 2559 3062 2645 Q 3297 2731 3419 2920 Q 3541 3109 3541 3331 Q 3541 3656 3305 3865 Q 3069 4075 2559 4075 L 1109 4075 L 1109 2559 z " + transform="scale(0.015625)" /><path + id="ArialMT-61-38" + d="M 2588 409 Q 2275 144 1986 34 Q 1697 -75 1366 -75 Q 819 -75 525 192 Q 231 459 231 875 Q 231 1119 342 1320 Q 453 1522 633 1644 Q 813 1766 1038 1828 Q 1203 1872 1538 1913 Q 2219 1994 2541 2106 Q 2544 2222 2544 2253 Q 2544 2597 2384 2738 Q 2169 2928 1744 2928 Q 1347 2928 1158 2789 Q 969 2650 878 2297 L 328 2372 Q 403 2725 575 2942 Q 747 3159 1072 3276 Q 1397 3394 1825 3394 Q 2250 3394 2515 3294 Q 2781 3194 2906 3042 Q 3031 2891 3081 2659 Q 3109 2516 3109 2141 L 3109 1391 Q 3109 606 3145 398 Q 3181 191 3288 0 L 2700 0 Q 2613 175 2588 409 z M 2541 1666 Q 2234 1541 1622 1453 Q 1275 1403 1131 1340 Q 988 1278 909 1158 Q 831 1038 831 891 Q 831 666 1001 516 Q 1172 366 1500 366 Q 1825 366 2078 508 Q 2331 650 2450 897 Q 2541 1088 2541 1459 L 2541 1666 z " + transform="scale(0.015625)" /><path + id="ArialMT-6e-27" + d="M 422 0 L 422 3319 L 928 3319 L 928 2847 Q 1294 3394 1984 3394 Q 2284 3394 2536 3286 Q 2788 3178 2913 3003 Q 3038 2828 3088 2588 Q 3119 2431 3119 2041 L 3119 0 L 2556 0 L 2556 2019 Q 2556 2363 2490 2533 Q 2425 2703 2258 2804 Q 2091 2906 1866 2906 Q 1506 2906 1245 2678 Q 984 2450 984 1813 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-64-04" + d="M 2575 0 L 2575 419 Q 2259 -75 1647 -75 Q 1250 -75 917 144 Q 584 363 401 755 Q 219 1147 219 1656 Q 219 2153 384 2558 Q 550 2963 881 3178 Q 1213 3394 1622 3394 Q 1922 3394 2156 3267 Q 2391 3141 2538 2938 L 2538 4581 L 3097 4581 L 3097 0 L 2575 0 z M 797 1656 Q 797 1019 1065 703 Q 1334 388 1700 388 Q 2069 388 2326 689 Q 2584 991 2584 1609 Q 2584 2291 2321 2609 Q 2059 2928 1675 2928 Q 1300 2928 1048 2622 Q 797 2316 797 1656 z " + transform="scale(0.015625)" /><path + id="ArialMT-6f-68" + d="M 213 1659 Q 213 2581 725 3025 Q 1153 3394 1769 3394 Q 2453 3394 2887 2945 Q 3322 2497 3322 1706 Q 3322 1066 3130 698 Q 2938 331 2570 128 Q 2203 -75 1769 -75 Q 1072 -75 642 372 Q 213 819 213 1659 z M 791 1659 Q 791 1022 1069 705 Q 1347 388 1769 388 Q 2188 388 2466 706 Q 2744 1025 2744 1678 Q 2744 2294 2464 2611 Q 2184 2928 1769 2928 Q 1347 2928 1069 2612 Q 791 2297 791 1659 z " + transform="scale(0.015625)" /><path + id="ArialMT-6d-91" + d="M 422 0 L 422 3319 L 925 3319 L 925 2853 Q 1081 3097 1340 3245 Q 1600 3394 1931 3394 Q 2300 3394 2536 3241 Q 2772 3088 2869 2813 Q 3263 3394 3894 3394 Q 4388 3394 4653 3120 Q 4919 2847 4919 2278 L 4919 0 L 4359 0 L 4359 2091 Q 4359 2428 4304 2576 Q 4250 2725 4106 2815 Q 3963 2906 3769 2906 Q 3419 2906 3187 2673 Q 2956 2441 2956 1928 L 2956 0 L 2394 0 L 2394 2156 Q 2394 2531 2256 2718 Q 2119 2906 1806 2906 Q 1569 2906 1367 2781 Q 1166 2656 1075 2415 Q 984 2175 984 1722 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-20-3" + transform="scale(0.015625)" /><path + id="ArialMT-56-9" + d="M 1803 0 L 28 4581 L 684 4581 L 1875 1253 Q 2019 853 2116 503 Q 2222 878 2363 1253 L 3600 4581 L 4219 4581 L 2425 0 L 1803 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-72-2" + d="M 416 0 L 416 3319 L 922 3319 L 922 2816 Q 1116 3169 1280 3281 Q 1444 3394 1641 3394 Q 1925 3394 2219 3213 L 2025 2691 Q 1819 2813 1613 2813 Q 1428 2813 1281 2702 Q 1134 2591 1072 2394 Q 978 2094 978 1738 L 978 0 L 416 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-69-81" + d="M 425 3934 L 425 4581 L 988 4581 L 988 3934 L 425 3934 z M 425 0 L 425 3319 L 988 3319 L 988 0 L 425 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-62-0" + d="M 941 0 L 419 0 L 419 4581 L 981 4581 L 981 2947 Q 1338 3394 1891 3394 Q 2197 3394 2470 3270 Q 2744 3147 2920 2923 Q 3097 2700 3197 2384 Q 3297 2069 3297 1709 Q 3297 856 2875 390 Q 2453 -75 1863 -75 Q 1275 -75 941 416 L 941 0 z M 934 1684 Q 934 1088 1097 822 Q 1363 388 1816 388 Q 2184 388 2453 708 Q 2722 1028 2722 1663 Q 2722 2313 2464 2622 Q 2206 2931 1841 2931 Q 1472 2931 1203 2611 Q 934 2291 934 1684 z " + transform="scale(0.015625)" /><path + id="ArialMT-6c-2" + d="M 409 0 L 409 4581 L 972 4581 L 972 0 L 409 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-65-8" + d="M 2694 1069 L 3275 997 Q 3138 488 2766 206 Q 2394 -75 1816 -75 Q 1088 -75 661 373 Q 234 822 234 1631 Q 234 2469 665 2931 Q 1097 3394 1784 3394 Q 2450 3394 2872 2941 Q 3294 2488 3294 1666 Q 3294 1616 3291 1516 L 816 1516 Q 847 969 1125 678 Q 1403 388 1819 388 Q 2128 388 2347 550 Q 2566 713 2694 1069 z M 847 1978 L 2700 1978 Q 2663 2397 2488 2606 Q 2219 2931 1791 2931 Q 1403 2931 1139 2672 Q 875 2413 847 1978 z " + transform="scale(0.015625)" /><path + id="DejaVuSans-Oblique-58-1" + d="M 878 4666 L 1516 4666 L 2316 2981 L 3763 4666 L 4500 4666 L 2578 2438 L 3738 0 L 3103 0 L 2163 1966 L 459 0 L -275 0 L 1906 2509 L 878 4666 z " + transform="scale(0.015625)" /><path + id="DejaVuSans-31-03" + d="M 794 531 L 1825 531 L 1825 4091 L 703 3866 L 703 4441 L 1819 4666 L 2450 4666 L 2450 531 L 3481 531 L 3481 0 L 794 0 L 794 531 z " + transform="scale(0.015625)" /><path + id="m4d2be22d86-21" + d="M 0 0 L -3.5 0 " + style="stroke: #000000; stroke-width: 0.8" /><path + id="DejaVuSans-32-36" + d="M 1228 531 L 3431 531 L 3431 0 L 469 0 L 469 531 Q 828 903 1448 1529 Q 2069 2156 2228 2338 Q 2531 2678 2651 2914 Q 2772 3150 2772 3378 Q 2772 3750 2511 3984 Q 2250 4219 1831 4219 Q 1534 4219 1204 4116 Q 875 4013 500 3803 L 500 4441 Q 881 4594 1212 4672 Q 1544 4750 1819 4750 Q 2544 4750 2975 4387 Q 3406 4025 3406 3419 Q 3406 3131 3298 2873 Q 3191 2616 2906 2266 Q 2828 2175 2409 1742 Q 1991 1309 1228 531 z " + transform="scale(0.015625)" /><clipPath + id="pa8ac0eece6-2"><rect + x="55.08" + y="51.84" + width="332.64" + height="332.64" + id="rect1065-6" /></clipPath><style + type="text/css" + id="style1-7">*{stroke-linejoin: round; stroke-linecap: butt}</style><path + id="m0e52a5a8ad-8" + d="M 0 0 L 0 2 " + style="stroke: #000000; stroke-width: 0.6" /><path + id="ArialMT-43-7" + d="M 3763 1606 L 4369 1453 Q 4178 706 3683 314 Q 3188 -78 2472 -78 Q 1731 -78 1267 223 Q 803 525 561 1097 Q 319 1669 319 2325 Q 319 3041 592 3573 Q 866 4106 1370 4382 Q 1875 4659 2481 4659 Q 3169 4659 3637 4309 Q 4106 3959 4291 3325 L 3694 3184 Q 3534 3684 3231 3912 Q 2928 4141 2469 4141 Q 1941 4141 1586 3887 Q 1231 3634 1087 3207 Q 944 2781 944 2328 Q 944 1744 1114 1308 Q 1284 872 1643 656 Q 2003 441 2422 441 Q 2931 441 3284 734 Q 3638 1028 3763 1606 z " + transform="scale(0.015625)" /><path + id="ArialMT-6f-47" + d="M 213 1659 Q 213 2581 725 3025 Q 1153 3394 1769 3394 Q 2453 3394 2887 2945 Q 3322 2497 3322 1706 Q 3322 1066 3130 698 Q 2938 331 2570 128 Q 2203 -75 1769 -75 Q 1072 -75 642 372 Q 213 819 213 1659 z M 791 1659 Q 791 1022 1069 705 Q 1347 388 1769 388 Q 2188 388 2466 706 Q 2744 1025 2744 1678 Q 2744 2294 2464 2611 Q 2184 2928 1769 2928 Q 1347 2928 1069 2612 Q 791 2297 791 1659 z " + transform="scale(0.015625)" /><path + id="ArialMT-6e-9" + d="M 422 0 L 422 3319 L 928 3319 L 928 2847 Q 1294 3394 1984 3394 Q 2284 3394 2536 3286 Q 2788 3178 2913 3003 Q 3038 2828 3088 2588 Q 3119 2431 3119 2041 L 3119 0 L 2556 0 L 2556 2019 Q 2556 2363 2490 2533 Q 2425 2703 2258 2804 Q 2091 2906 1866 2906 Q 1506 2906 1245 2678 Q 984 2450 984 1813 L 984 0 L 422 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-73-7" + d="M 197 991 L 753 1078 Q 800 744 1014 566 Q 1228 388 1613 388 Q 2000 388 2187 545 Q 2375 703 2375 916 Q 2375 1106 2209 1216 Q 2094 1291 1634 1406 Q 1016 1563 777 1677 Q 538 1791 414 1992 Q 291 2194 291 2438 Q 291 2659 392 2848 Q 494 3038 669 3163 Q 800 3259 1026 3326 Q 1253 3394 1513 3394 Q 1903 3394 2198 3281 Q 2494 3169 2634 2976 Q 2775 2784 2828 2463 L 2278 2388 Q 2241 2644 2061 2787 Q 1881 2931 1553 2931 Q 1166 2931 1000 2803 Q 834 2675 834 2503 Q 834 2394 903 2306 Q 972 2216 1119 2156 Q 1203 2125 1616 2013 Q 2213 1853 2448 1751 Q 2684 1650 2818 1456 Q 2953 1263 2953 975 Q 2953 694 2789 445 Q 2625 197 2315 61 Q 2006 -75 1616 -75 Q 969 -75 630 194 Q 291 463 197 991 z " + transform="scale(0.015625)" /><path + id="ArialMT-65-09" + d="M 2694 1069 L 3275 997 Q 3138 488 2766 206 Q 2394 -75 1816 -75 Q 1088 -75 661 373 Q 234 822 234 1631 Q 234 2469 665 2931 Q 1097 3394 1784 3394 Q 2450 3394 2872 2941 Q 3294 2488 3294 1666 Q 3294 1616 3291 1516 L 816 1516 Q 847 969 1125 678 Q 1403 388 1819 388 Q 2128 388 2347 550 Q 2566 713 2694 1069 z M 847 1978 L 2700 1978 Q 2663 2397 2488 2606 Q 2219 2931 1791 2931 Q 1403 2931 1139 2672 Q 875 2413 847 1978 z " + transform="scale(0.015625)" /><path + id="ArialMT-71-0" + d="M 2538 -1272 L 2538 353 Q 2406 169 2170 47 Q 1934 -75 1669 -75 Q 1078 -75 651 397 Q 225 869 225 1691 Q 225 2191 398 2587 Q 572 2984 901 3189 Q 1231 3394 1625 3394 Q 2241 3394 2594 2875 L 2594 3319 L 3100 3319 L 3100 -1272 L 2538 -1272 z M 803 1669 Q 803 1028 1072 708 Q 1341 388 1716 388 Q 2075 388 2334 692 Q 2594 997 2594 1619 Q 2594 2281 2320 2615 Q 2047 2950 1678 2950 Q 1313 2950 1058 2639 Q 803 2328 803 1669 z " + transform="scale(0.015625)" /><path + id="ArialMT-75-9" + d="M 2597 0 L 2597 488 Q 2209 -75 1544 -75 Q 1250 -75 995 37 Q 741 150 617 320 Q 494 491 444 738 Q 409 903 409 1263 L 409 3319 L 972 3319 L 972 1478 Q 972 1038 1006 884 Q 1059 663 1231 536 Q 1403 409 1656 409 Q 1909 409 2131 539 Q 2353 669 2445 892 Q 2538 1116 2538 1541 L 2538 3319 L 3100 3319 L 3100 0 L 2597 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-63-4" + d="M 2588 1216 L 3141 1144 Q 3050 572 2676 248 Q 2303 -75 1759 -75 Q 1078 -75 664 370 Q 250 816 250 1647 Q 250 2184 428 2587 Q 606 2991 970 3192 Q 1334 3394 1763 3394 Q 2303 3394 2647 3120 Q 2991 2847 3088 2344 L 2541 2259 Q 2463 2594 2264 2762 Q 2066 2931 1784 2931 Q 1359 2931 1093 2626 Q 828 2322 828 1663 Q 828 994 1084 691 Q 1341 388 1753 388 Q 2084 388 2306 591 Q 2528 794 2588 1216 z " + transform="scale(0.015625)" /><path + id="mfa9b054434-9" + d="M 0 0 L -2 0 " + style="stroke: #000000; stroke-width: 0.6" /><path + id="ArialMT-50-3" + d="M 494 0 L 494 4581 L 2222 4581 Q 2678 4581 2919 4538 Q 3256 4481 3484 4323 Q 3713 4166 3852 3881 Q 3991 3597 3991 3256 Q 3991 2672 3619 2267 Q 3247 1863 2275 1863 L 1100 1863 L 1100 0 L 494 0 z M 1100 2403 L 2284 2403 Q 2872 2403 3119 2622 Q 3366 2841 3366 3238 Q 3366 3525 3220 3729 Q 3075 3934 2838 4000 Q 2684 4041 2272 4041 L 1100 4041 L 1100 2403 z " + transform="scale(0.015625)" /><path + id="ArialMT-72-8" + d="M 416 0 L 416 3319 L 922 3319 L 922 2816 Q 1116 3169 1280 3281 Q 1444 3394 1641 3394 Q 1925 3394 2219 3213 L 2025 2691 Q 1819 2813 1613 2813 Q 1428 2813 1281 2702 Q 1134 2591 1072 2394 Q 978 2094 978 1738 L 978 0 L 416 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-62-3" + d="M 941 0 L 419 0 L 419 4581 L 981 4581 L 981 2947 Q 1338 3394 1891 3394 Q 2197 3394 2470 3270 Q 2744 3147 2920 2923 Q 3097 2700 3197 2384 Q 3297 2069 3297 1709 Q 3297 856 2875 390 Q 2453 -75 1863 -75 Q 1275 -75 941 416 L 941 0 z M 934 1684 Q 934 1088 1097 822 Q 1363 388 1816 388 Q 2184 388 2453 708 Q 2722 1028 2722 1663 Q 2722 2313 2464 2622 Q 2206 2931 1841 2931 Q 1472 2931 1203 2611 Q 934 2291 934 1684 z " + transform="scale(0.015625)" /><path + id="ArialMT-61-0" + d="M 2588 409 Q 2275 144 1986 34 Q 1697 -75 1366 -75 Q 819 -75 525 192 Q 231 459 231 875 Q 231 1119 342 1320 Q 453 1522 633 1644 Q 813 1766 1038 1828 Q 1203 1872 1538 1913 Q 2219 1994 2541 2106 Q 2544 2222 2544 2253 Q 2544 2597 2384 2738 Q 2169 2928 1744 2928 Q 1347 2928 1158 2789 Q 969 2650 878 2297 L 328 2372 Q 403 2725 575 2942 Q 747 3159 1072 3276 Q 1397 3394 1825 3394 Q 2250 3394 2515 3294 Q 2781 3194 2906 3042 Q 3031 2891 3081 2659 Q 3109 2516 3109 2141 L 3109 1391 Q 3109 606 3145 398 Q 3181 191 3288 0 L 2700 0 Q 2613 175 2588 409 z M 2541 1666 Q 2234 1541 1622 1453 Q 1275 1403 1131 1340 Q 988 1278 909 1158 Q 831 1038 831 891 Q 831 666 1001 516 Q 1172 366 1500 366 Q 1825 366 2078 508 Q 2331 650 2450 897 Q 2541 1088 2541 1459 L 2541 1666 z " + transform="scale(0.015625)" /><path + id="ArialMT-69-41" + d="M 425 3934 L 425 4581 L 988 4581 L 988 3934 L 425 3934 z M 425 0 L 425 3319 L 988 3319 L 988 0 L 425 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-6c-00" + d="M 409 0 L 409 4581 L 972 4581 L 972 0 L 409 0 z " + transform="scale(0.015625)" /><path + id="ArialMT-74-7" + d="M 1650 503 L 1731 6 Q 1494 -44 1306 -44 Q 1000 -44 831 53 Q 663 150 594 308 Q 525 466 525 972 L 525 2881 L 113 2881 L 113 3319 L 525 3319 L 525 4141 L 1084 4478 L 1084 3319 L 1650 3319 L 1650 2881 L 1084 2881 L 1084 941 Q 1084 700 1114 631 Q 1144 563 1211 522 Q 1278 481 1403 481 Q 1497 481 1650 503 z " + transform="scale(0.015625)" /><path + id="ArialMT-79-3" + d="M 397 -1278 L 334 -750 Q 519 -800 656 -800 Q 844 -800 956 -737 Q 1069 -675 1141 -563 Q 1194 -478 1313 -144 Q 1328 -97 1363 -6 L 103 3319 L 709 3319 L 1400 1397 Q 1534 1031 1641 628 Q 1738 1016 1872 1384 L 2581 3319 L 3144 3319 L 1881 -56 Q 1678 -603 1566 -809 Q 1416 -1088 1222 -1217 Q 1028 -1347 759 -1347 Q 597 -1347 397 -1278 z " + transform="scale(0.015625)" /><clipPath + id="pfddeee6810-6"><rect + x="54" + y="51.84" + width="334.8" + height="332.64" + id="rect85-6" /></clipPath><linearGradient + inkscape:collect="always" + xlink:href="#linearGradient167" + id="linearGradient168" + x1="54.08" + y1="51.84" + x2="388.72" + y2="51.84" + gradientUnits="userSpaceOnUse" /><linearGradient + inkscape:collect="always" + xlink:href="#linearGradient171" + id="linearGradient172" + x1="391.82443" + y1="381.51981" + x2="392.81784" + y2="57.226227" + gradientUnits="userSpaceOnUse" /></defs><g + inkscape:label="Background" + inkscape:groupmode="layer" + id="layer1" /><g + inkscape:groupmode="layer" + id="layer2" + inkscape:label="Bivariate"><g + id="figure_1" + transform="matrix(0.35277778,0,0,0.35277778,-2.6005011,60.962703)"><g + id="patch_1"><path + d="M 0,432 H 432 V 0 H 0 Z" + style="fill:none" + id="path1" /></g><g + id="axes_1"><g + id="patch_2"><path + d="M 55.08,384.48 H 387.72 V 51.84 H 55.08 Z" + style="fill:none" + id="path2" /></g><g + id="PathCollection_1"><defs + id="defs2"><path + id="path131" + d="m 0,1.581139 c 0.419323,0 0.821528,-0.166599 1.118034,-0.463105 C 1.41454,0.821528 1.581139,0.419323 1.581139,0 1.581139,-0.419323 1.41454,-0.821528 1.118034,-1.118034 0.821528,-1.41454 0.419323,-1.581139 0,-1.581139 c -0.419323,0 -0.821528,0.166599 -1.118034,0.463105 C -1.41454,-0.821528 -1.581139,-0.419323 -1.581139,0 c 0,0.419323 0.166599,0.821528 0.463105,1.118034 C -0.821528,1.41454 -0.419323,1.581139 0,1.581139 Z" /></defs><g + clip-path="url(#pa8ac0eece6-2)" + id="g2"><use + xlink:href="#C0_0_44cb9d1369-0" + x="108.71548" + y="311.22855" + style="fill:none;stroke:#696969" + id="use2" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g3"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.67673" + y="285.88947" + style="fill:none;stroke:#696969" + id="use3" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g4"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.84817" + y="321.3808" + style="fill:none;stroke:#696969" + id="use4" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g5"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.24065" + y="219.39395" + style="fill:none;stroke:#696969" + id="use5" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g6"><use + xlink:href="#C0_0_44cb9d1369-0" + x="155.89095" + y="287.53888" + style="fill:none;stroke:#696969" + id="use6" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g7"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.80759" + y="227.98882" + style="fill:none;stroke:#696969" + id="use7" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g8"><use + xlink:href="#C0_0_44cb9d1369-0" + x="106.19725" + y="315.57428" + style="fill:none;stroke:#696969" + id="use8" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g9"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.4231" + y="280.94708" + style="fill:none;stroke:#696969" + id="use9" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g10"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.98174" + y="241.95302" + style="fill:none;stroke:#696969" + id="use10" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g11"><use + xlink:href="#C0_0_44cb9d1369-0" + x="183.21432" + y="208.95477" + style="fill:none;stroke:#696969" + id="use11" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g12"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.94078" + y="315.33563" + style="fill:none;stroke:#696969" + id="use12" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g13"><use + xlink:href="#C0_0_44cb9d1369-0" + x="217.35385" + y="160.7139" + style="fill:none;stroke:#696969" + id="use13" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g14"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.77374" + y="291.38678" + style="fill:none;stroke:#696969" + id="use14" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g15"><use + xlink:href="#C0_0_44cb9d1369-0" + x="161.49341" + y="194.12592" + style="fill:none;stroke:#696969" + id="use15" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g16"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.4817" + y="268.32065" + style="fill:none;stroke:#696969" + id="use16" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g17"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.59183" + y="276.08276" + style="fill:none;stroke:#696969" + id="use17" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g18"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.19098" + y="227.24525" + style="fill:none;stroke:#696969" + id="use18" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g19"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.30867" + y="292.0676" + style="fill:none;stroke:#696969" + id="use19" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g20"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.29265" + y="288.26828" + style="fill:none;stroke:#696969" + id="use20" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g21"><use + xlink:href="#C0_0_44cb9d1369-0" + x="111.04202" + y="315.52655" + style="fill:none;stroke:#696969" + id="use21" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g22"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.70027" + y="259.86877" + style="fill:none;stroke:#696969" + id="use22" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g23"><use + xlink:href="#C0_0_44cb9d1369-0" + x="107.24399" + y="271.22876" + style="fill:none;stroke:#696969" + id="use23" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g24"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.40608" + y="255.60272" + style="fill:none;stroke:#696969" + id="use24" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g25"><use + xlink:href="#C0_0_44cb9d1369-0" + x="167.49986" + y="284.01794" + style="fill:none;stroke:#696969" + id="use25" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g26"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.69913" + y="280.88275" + style="fill:none;stroke:#696969" + id="use26" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g27"><use + xlink:href="#C0_0_44cb9d1369-0" + x="179.42967" + y="287.62701" + style="fill:none;stroke:#696969" + id="use27" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g28"><use + xlink:href="#C0_0_44cb9d1369-0" + x="154.4798" + y="234.33601" + style="fill:none;stroke:#696969" + id="use28" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g29"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.52911" + y="261.28976" + style="fill:none;stroke:#696969" + id="use29" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g30"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.78031" + y="305.33261" + style="fill:none;stroke:#696969" + id="use30" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g31"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.01598" + y="259.54758" + style="fill:none;stroke:#696969" + id="use31" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g32"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.81429" + y="289.5741" + style="fill:none;stroke:#696969" + id="use32" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g33"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.66337" + y="310.69128" + style="fill:none;stroke:#696969" + id="use33" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g34"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.47496" + y="311.15793" + style="fill:none;stroke:#696969" + id="use34" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g35"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.37524" + y="300.37509" + style="fill:none;stroke:#696969" + id="use35" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g36"><use + xlink:href="#C0_0_44cb9d1369-0" + x="164.4559" + y="247.77792" + style="fill:none;stroke:#696969" + id="use36" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g37"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.87146" + y="253.92873" + style="fill:none;stroke:#696969" + id="use37" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g38"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.74118" + y="294.6474" + style="fill:none;stroke:#696969" + id="use38" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g39"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.25382" + y="327.55768" + style="fill:none;stroke:#696969" + id="use39" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g40"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.69974" + y="270.28564" + style="fill:none;stroke:#696969" + id="use40" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g41"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.08059" + y="312.44135" + style="fill:none;stroke:#696969" + id="use41" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g42"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.99954" + y="254.72441" + style="fill:none;stroke:#696969" + id="use42" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g43"><use + xlink:href="#C0_0_44cb9d1369-0" + x="165.37869" + y="330.50003" + style="fill:none;stroke:#696969" + id="use43" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g44"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.58534" + y="270.19778" + style="fill:none;stroke:#696969" + id="use44" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g45"><use + xlink:href="#C0_0_44cb9d1369-0" + x="182.83766" + y="275.00027" + style="fill:none;stroke:#696969" + id="use45" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g46"><use + xlink:href="#C0_0_44cb9d1369-0" + x="173.75079" + y="205.69516" + style="fill:none;stroke:#696969" + id="use46" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g47"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.93225" + y="264.26324" + style="fill:none;stroke:#696969" + id="use47" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g48"><use + xlink:href="#C0_0_44cb9d1369-0" + x="154.76645" + y="251.37708" + style="fill:none;stroke:#696969" + id="use48" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g49"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.23351" + y="312.42319" + style="fill:none;stroke:#696969" + id="use49" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g50"><use + xlink:href="#C0_0_44cb9d1369-0" + x="104.81826" + y="274.92368" + style="fill:none;stroke:#696969" + id="use50" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g51"><use + xlink:href="#C0_0_44cb9d1369-0" + x="108.40565" + y="309.12888" + style="fill:none;stroke:#696969" + id="use51" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g52"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.31109" + y="303.79614" + style="fill:none;stroke:#696969" + id="use52" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g53"><use + xlink:href="#C0_0_44cb9d1369-0" + x="176.9483" + y="189.98952" + style="fill:none;stroke:#696969" + id="use53" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g54"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.957" + y="258.41779" + style="fill:none;stroke:#696969" + id="use54" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g55"><use + xlink:href="#C0_0_44cb9d1369-0" + x="185.40216" + y="222.21849" + style="fill:none;stroke:#696969" + id="use55" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g56"><use + xlink:href="#C0_0_44cb9d1369-0" + x="107.1171" + y="328.77759" + style="fill:none;stroke:#696969" + id="use56" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g57"><use + xlink:href="#C0_0_44cb9d1369-0" + x="102.66112" + y="327.02582" + style="fill:none;stroke:#696969" + id="use57" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g58"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.07797" + y="250.86189" + style="fill:none;stroke:#696969" + id="use58" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g59"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.3318" + y="249.1857" + style="fill:none;stroke:#696969" + id="use59" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g60"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.99912" + y="279.70013" + style="fill:none;stroke:#696969" + id="use60" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g61"><use + xlink:href="#C0_0_44cb9d1369-0" + x="175.3905" + y="270.89362" + style="fill:none;stroke:#696969" + id="use61" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g62"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.23041" + y="237.60608" + style="fill:none;stroke:#696969" + id="use62" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g63"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.03999" + y="265.46155" + style="fill:none;stroke:#696969" + id="use63" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g64"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.10479" + y="296.1452" + style="fill:none;stroke:#696969" + id="use64" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g65"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.25388" + y="305.24796" + style="fill:none;stroke:#696969" + id="use65" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g66"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.06841" + y="295.55325" + style="fill:none;stroke:#696969" + id="use66" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g67"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.95834" + y="222.78853" + style="fill:none;stroke:#696969" + id="use67" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g68"><use + xlink:href="#C0_0_44cb9d1369-0" + x="169.10173" + y="231.74841" + style="fill:none;stroke:#696969" + id="use68" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g69"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.53795" + y="223.37828" + style="fill:none;stroke:#696969" + id="use69" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g70"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.99675" + y="295.61108" + style="fill:none;stroke:#696969" + id="use70" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g71"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.52498" + y="275.60211" + style="fill:none;stroke:#696969" + id="use71" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g72"><use + xlink:href="#C0_0_44cb9d1369-0" + x="108.8233" + y="310.34277" + style="fill:none;stroke:#696969" + id="use72" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g73"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.31547" + y="283.25858" + style="fill:none;stroke:#696969" + id="use73" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g74"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.83513" + y="197.22415" + style="fill:none;stroke:#696969" + id="use74" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g75"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.01849" + y="294.29007" + style="fill:none;stroke:#696969" + id="use75" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g76"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.12143" + y="238.97688" + style="fill:none;stroke:#696969" + id="use76" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g77"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.10779" + y="274.89975" + style="fill:none;stroke:#696969" + id="use77" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g78"><use + xlink:href="#C0_0_44cb9d1369-0" + x="178.82687" + y="191.77742" + style="fill:none;stroke:#696969" + id="use78" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g79"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.63132" + y="271.59097" + style="fill:none;stroke:#696969" + id="use79" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g80"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.72934" + y="260.14859" + style="fill:none;stroke:#696969" + id="use80" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g81"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.3714" + y="264.16589" + style="fill:none;stroke:#696969" + id="use81" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g82"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.8325" + y="256.4007" + style="fill:none;stroke:#696969" + id="use82" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g83"><use + xlink:href="#C0_0_44cb9d1369-0" + x="158.88135" + y="216.45558" + style="fill:none;stroke:#696969" + id="use83" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g84"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.77458" + y="243.69244" + style="fill:none;stroke:#696969" + id="use84" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g85"><use + xlink:href="#C0_0_44cb9d1369-0" + x="177.28432" + y="263.29233" + style="fill:none;stroke:#696969" + id="use85" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g86"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.26125" + y="281.63565" + style="fill:none;stroke:#696969" + id="use86" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g87"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.48743" + y="293.12613" + style="fill:none;stroke:#696969" + id="use87" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g88"><use + xlink:href="#C0_0_44cb9d1369-0" + x="187.46104" + y="266.68738" + style="fill:none;stroke:#696969" + id="use88" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g89"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.17062" + y="300.10379" + style="fill:none;stroke:#696969" + id="use89" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g90"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.21301" + y="274.22256" + style="fill:none;stroke:#696969" + id="use90" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g91"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.22014" + y="310.26456" + style="fill:none;stroke:#696969" + id="use91" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g92"><use + xlink:href="#C0_0_44cb9d1369-0" + x="158.54955" + y="339.40765" + style="fill:none;stroke:#696969" + id="use92" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g93"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.80765" + y="220.68027" + style="fill:none;stroke:#696969" + id="use93" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g94"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.34418" + y="300.74112" + style="fill:none;stroke:#696969" + id="use94" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g95"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.2591" + y="323.51874" + style="fill:none;stroke:#696969" + id="use95" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g96"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.43684" + y="275.19305" + style="fill:none;stroke:#696969" + id="use96" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g97"><use + xlink:href="#C0_0_44cb9d1369-0" + x="214.01599" + y="242.94466" + style="fill:none;stroke:#696969" + id="use97" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g98"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.16568" + y="312.28317" + style="fill:none;stroke:#696969" + id="use98" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g99"><use + xlink:href="#C0_0_44cb9d1369-0" + x="182.46141" + y="245.61824" + style="fill:none;stroke:#696969" + id="use99" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g100"><use + xlink:href="#C0_0_44cb9d1369-0" + x="178.49213" + y="274.76004" + style="fill:none;stroke:#696969" + id="use100" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g101"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.73552" + y="304.56384" + style="fill:none;stroke:#696969" + id="use101" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g102"><use + xlink:href="#C0_0_44cb9d1369-0" + x="171.2872" + y="146.56851" + style="fill:none;stroke:#696969" + id="use102" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g103"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.72878" + y="276.56503" + style="fill:none;stroke:#696969" + id="use103" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g104"><use + xlink:href="#C0_0_44cb9d1369-0" + x="205.97028" + y="270.80609" + style="fill:none;stroke:#696969" + id="use104" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g105"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.79738" + y="246.5517" + style="fill:none;stroke:#696969" + id="use105" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g106"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.92012" + y="242.05443" + style="fill:none;stroke:#696969" + id="use106" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g107"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.75534" + y="249.28397" + style="fill:none;stroke:#696969" + id="use107" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g108"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.12307" + y="246.42055" + style="fill:none;stroke:#696969" + id="use108" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g109"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.12934" + y="277.26953" + style="fill:none;stroke:#696969" + id="use109" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g110"><use + xlink:href="#C0_0_44cb9d1369-0" + x="104.27217" + y="276.79019" + style="fill:none;stroke:#696969" + id="use110" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g111"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.87334" + y="303.39658" + style="fill:none;stroke:#696969" + id="use111" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g112"><use + xlink:href="#C0_0_44cb9d1369-0" + x="171.26596" + y="243.49088" + style="fill:none;stroke:#696969" + id="use112" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g113"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.26041" + y="267.31241" + style="fill:none;stroke:#696969" + id="use113" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g114"><use + xlink:href="#C0_0_44cb9d1369-0" + x="168.36981" + y="170.97781" + style="fill:none;stroke:#696969" + id="use114" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g115"><use + xlink:href="#C0_0_44cb9d1369-0" + x="155.63623" + y="261.86627" + style="fill:none;stroke:#696969" + id="use115" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g116"><use + xlink:href="#C0_0_44cb9d1369-0" + x="165.29027" + y="246.62233" + style="fill:none;stroke:#696969" + id="use116" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g117"><use + xlink:href="#C0_0_44cb9d1369-0" + x="177.87572" + y="207.31409" + style="fill:none;stroke:#696969" + id="use117" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g118"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.30991" + y="247.05017" + style="fill:none;stroke:#696969" + id="use118" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g119"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.76777" + y="315.95346" + style="fill:none;stroke:#696969" + id="use119" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g120"><use + xlink:href="#C0_0_44cb9d1369-0" + x="194.30643" + y="238.01509" + style="fill:none;stroke:#696969" + id="use120" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g121"><use + xlink:href="#C0_0_44cb9d1369-0" + x="168.10457" + y="204.91646" + style="fill:none;stroke:#696969" + id="use121" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g122"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.1805" + y="265.12064" + style="fill:none;stroke:#696969" + id="use122" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g123"><use + xlink:href="#C0_0_44cb9d1369-0" + x="213.94656" + y="236.28868" + style="fill:none;stroke:#696969" + id="use123" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g124"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.2065" + y="188.80261" + style="fill:none;stroke:#696969" + id="use124" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g125"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.5468" + y="281.99872" + style="fill:none;stroke:#696969" + id="use125" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g126"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.60408" + y="286.68756" + style="fill:none;stroke:#696969" + id="use126" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g127"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.68553" + y="254.32362" + style="fill:none;stroke:#696969" + id="use127" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g128"><use + xlink:href="#C0_0_44cb9d1369-0" + x="154.58311" + y="223.26573" + style="fill:none;stroke:#696969" + id="use128" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g129"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.1095" + y="311.02341" + style="fill:none;stroke:#696969" + id="use129" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g130"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.71062" + y="231.28828" + style="fill:none;stroke:#696969" + id="use130" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g131"><use + xlink:href="#C0_0_44cb9d1369-0" + x="108.13433" + y="298.37259" + style="fill:none;stroke:#696969" + id="use131" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g132"><use + xlink:href="#C0_0_44cb9d1369-0" + x="165.13347" + y="245.09639" + style="fill:none;stroke:#696969" + id="use132" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g133"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.87366" + y="285.26028" + style="fill:none;stroke:#696969" + id="use133" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g134"><use + xlink:href="#C0_0_44cb9d1369-0" + x="121.80156" + y="308.16287" + style="fill:none;stroke:#696969" + id="use134" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g135"><use + xlink:href="#C0_0_44cb9d1369-0" + x="167.90027" + y="232.36536" + style="fill:none;stroke:#696969" + id="use135" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g136"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.92584" + y="249.55939" + style="fill:none;stroke:#696969" + id="use136" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g137"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.95412" + y="277.5416" + style="fill:none;stroke:#696969" + id="use137" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g138"><use + xlink:href="#C0_0_44cb9d1369-0" + x="185.29324" + y="207.03021" + style="fill:none;stroke:#696969" + id="use138" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g139"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.54942" + y="203.12489" + style="fill:none;stroke:#696969" + id="use139" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g140"><use + xlink:href="#C0_0_44cb9d1369-0" + x="164.92094" + y="230.93523" + style="fill:none;stroke:#696969" + id="use140" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g141"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.0093" + y="296.84604" + style="fill:none;stroke:#696969" + id="use141" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g142"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.99165" + y="302.59787" + style="fill:none;stroke:#696969" + id="use142" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g143"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.26447" + y="232.98029" + style="fill:none;stroke:#696969" + id="use143" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g144"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.85919" + y="273.34244" + style="fill:none;stroke:#696969" + id="use144" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g145"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.70301" + y="298.03699" + style="fill:none;stroke:#696969" + id="use145" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g146"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.28853" + y="291.38165" + style="fill:none;stroke:#696969" + id="use146" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g147"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.2178" + y="258.22006" + style="fill:none;stroke:#696969" + id="use147" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g148"><use + xlink:href="#C0_0_44cb9d1369-0" + x="180.53085" + y="231.96382" + style="fill:none;stroke:#696969" + id="use148" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g149"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.3315" + y="288.38611" + style="fill:none;stroke:#696969" + id="use149" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g150"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.42776" + y="293.87381" + style="fill:none;stroke:#696969" + id="use150" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g151"><use + xlink:href="#C0_0_44cb9d1369-0" + x="158.71506" + y="180.24483" + style="fill:none;stroke:#696969" + id="use151" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g152"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.69829" + y="294.50061" + style="fill:none;stroke:#696969" + id="use152" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g153"><use + xlink:href="#C0_0_44cb9d1369-0" + x="157.82314" + y="248.40858" + style="fill:none;stroke:#696969" + id="use153" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g154"><use + xlink:href="#C0_0_44cb9d1369-0" + x="111.53978" + y="322.61963" + style="fill:none;stroke:#696969" + id="use154" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g155"><use + xlink:href="#C0_0_44cb9d1369-0" + x="176.31853" + y="194.40562" + style="fill:none;stroke:#696969" + id="use155" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g156"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.4278" + y="278.71765" + style="fill:none;stroke:#696969" + id="use156" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g157"><use + xlink:href="#C0_0_44cb9d1369-0" + x="197.69145" + y="133.00301" + style="fill:none;stroke:#696969" + id="use157" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g158"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.88031" + y="183.64421" + style="fill:none;stroke:#696969" + id="use158" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g159"><use + xlink:href="#C0_0_44cb9d1369-0" + x="109.50649" + y="301.69583" + style="fill:none;stroke:#696969" + id="use159" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g160"><use + xlink:href="#C0_0_44cb9d1369-0" + x="201.77432" + y="180.0481" + style="fill:none;stroke:#696969" + id="use160" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g161"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.33902" + y="262.01166" + style="fill:none;stroke:#696969" + id="use161" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g162"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.27907" + y="295.93494" + style="fill:none;stroke:#696969" + id="use162" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g163"><use + xlink:href="#C0_0_44cb9d1369-0" + x="190.82834" + y="131.03546" + style="fill:none;stroke:#696969" + id="use163" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g164"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.72379" + y="240.54892" + style="fill:none;stroke:#696969" + id="use164" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g165"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.74258" + y="290.41724" + style="fill:none;stroke:#696969" + id="use165" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g166"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.71283" + y="224.444" + style="fill:none;stroke:#696969" + id="use166" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g167"><use + xlink:href="#C0_0_44cb9d1369-0" + x="177.495" + y="259.9054" + style="fill:none;stroke:#696969" + id="use167" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g168"><use + xlink:href="#C0_0_44cb9d1369-0" + x="197.22395" + y="233.43782" + style="fill:none;stroke:#696969" + id="use168" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g169"><use + xlink:href="#C0_0_44cb9d1369-0" + x="103.07355" + y="326.31253" + style="fill:none;stroke:#696969" + id="use169" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g170"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.77108" + y="290.26004" + style="fill:none;stroke:#696969" + id="use170" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g171"><use + xlink:href="#C0_0_44cb9d1369-0" + x="205.2811" + y="207.81914" + style="fill:none;stroke:#696969" + id="use171" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g172"><use + xlink:href="#C0_0_44cb9d1369-0" + x="155.8271" + y="200.31119" + style="fill:none;stroke:#696969" + id="use172" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g173"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.17735" + y="256.59113" + style="fill:none;stroke:#696969" + id="use173" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g174"><use + xlink:href="#C0_0_44cb9d1369-0" + x="184.25638" + y="261.39639" + style="fill:none;stroke:#696969" + id="use174" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g175"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.46796" + y="312.8555" + style="fill:none;stroke:#696969" + id="use175" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g176"><use + xlink:href="#C0_0_44cb9d1369-0" + x="172.06461" + y="239.25575" + style="fill:none;stroke:#696969" + id="use176" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g177"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.11555" + y="233.26683" + style="fill:none;stroke:#696969" + id="use177" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g178"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.93132" + y="280.58197" + style="fill:none;stroke:#696969" + id="use178" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g179"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.97452" + y="316.68259" + style="fill:none;stroke:#696969" + id="use179" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g180"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.6244" + y="280.72992" + style="fill:none;stroke:#696969" + id="use180" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g181"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.73701" + y="216.89908" + style="fill:none;stroke:#696969" + id="use181" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g182"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.60648" + y="265.9758" + style="fill:none;stroke:#696969" + id="use182" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g183"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.65466" + y="251.58768" + style="fill:none;stroke:#696969" + id="use183" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g184"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.27507" + y="222.72121" + style="fill:none;stroke:#696969" + id="use184" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g185"><use + xlink:href="#C0_0_44cb9d1369-0" + x="177.55672" + y="178.77171" + style="fill:none;stroke:#696969" + id="use185" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g186"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.72868" + y="281.66193" + style="fill:none;stroke:#696969" + id="use186" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g187"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.8185" + y="235.49492" + style="fill:none;stroke:#696969" + id="use187" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g188"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.70462" + y="263.75311" + style="fill:none;stroke:#696969" + id="use188" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g189"><use + xlink:href="#C0_0_44cb9d1369-0" + x="152.83318" + y="201.14153" + style="fill:none;stroke:#696969" + id="use189" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g190"><use + xlink:href="#C0_0_44cb9d1369-0" + x="159.10922" + y="239.72458" + style="fill:none;stroke:#696969" + id="use190" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g191"><use + xlink:href="#C0_0_44cb9d1369-0" + x="187.93835" + y="232.91975" + style="fill:none;stroke:#696969" + id="use191" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g192"><use + xlink:href="#C0_0_44cb9d1369-0" + x="181.86221" + y="250.14308" + style="fill:none;stroke:#696969" + id="use192" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g193"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.95357" + y="292.20746" + style="fill:none;stroke:#696969" + id="use193" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g194"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.00381" + y="258.33212" + style="fill:none;stroke:#696969" + id="use194" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g195"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.36404" + y="264.59363" + style="fill:none;stroke:#696969" + id="use195" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g196"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.38826" + y="230.97931" + style="fill:none;stroke:#696969" + id="use196" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g197"><use + xlink:href="#C0_0_44cb9d1369-0" + x="178.39191" + y="31.900339" + style="fill:none;stroke:#696969" + id="use197" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g198"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.75902" + y="224.46941" + style="fill:none;stroke:#696969" + id="use198" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g199"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.4509" + y="210.32257" + style="fill:none;stroke:#696969" + id="use199" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g200"><use + xlink:href="#C0_0_44cb9d1369-0" + x="167.59225" + y="221.28554" + style="fill:none;stroke:#696969" + id="use200" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g201"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.31345" + y="284.16757" + style="fill:none;stroke:#696969" + id="use201" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g202"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.23344" + y="232.99979" + style="fill:none;stroke:#696969" + id="use202" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g203"><use + xlink:href="#C0_0_44cb9d1369-0" + x="173.95656" + y="171.71997" + style="fill:none;stroke:#696969" + id="use203" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g204"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.01316" + y="294.50827" + style="fill:none;stroke:#696969" + id="use204" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g205"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.59709" + y="261.90335" + style="fill:none;stroke:#696969" + id="use205" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g206"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.09686" + y="213.13019" + style="fill:none;stroke:#696969" + id="use206" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g207"><use + xlink:href="#C0_0_44cb9d1369-0" + x="103.37975" + y="322.39145" + style="fill:none;stroke:#696969" + id="use207" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g208"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.07697" + y="271.19778" + style="fill:none;stroke:#696969" + id="use208" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g209"><use + xlink:href="#C0_0_44cb9d1369-0" + x="171.5605" + y="281.97186" + style="fill:none;stroke:#696969" + id="use209" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g210"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.80966" + y="289.67752" + style="fill:none;stroke:#696969" + id="use210" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g211"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.11431" + y="312.2016" + style="fill:none;stroke:#696969" + id="use211" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g212"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.93127" + y="148.17998" + style="fill:none;stroke:#696969" + id="use212" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g213"><use + xlink:href="#C0_0_44cb9d1369-0" + x="210.27878" + y="166.53873" + style="fill:none;stroke:#696969" + id="use213" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g214"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.82735" + y="265.75699" + style="fill:none;stroke:#696969" + id="use214" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g215"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.85499" + y="270.82538" + style="fill:none;stroke:#696969" + id="use215" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g216"><use + xlink:href="#C0_0_44cb9d1369-0" + x="146.25092" + y="334.16199" + style="fill:none;stroke:#696969" + id="use216" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g217"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.93404" + y="178.00406" + style="fill:none;stroke:#696969" + id="use217" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g218"><use + xlink:href="#C0_0_44cb9d1369-0" + x="180.95166" + y="122.21593" + style="fill:none;stroke:#696969" + id="use218" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g219"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.70735" + y="239.16641" + style="fill:none;stroke:#696969" + id="use219" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g220"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.16792" + y="239.42218" + style="fill:none;stroke:#696969" + id="use220" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g221"><use + xlink:href="#C0_0_44cb9d1369-0" + x="161.47591" + y="255.59833" + style="fill:none;stroke:#696969" + id="use221" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g222"><use + xlink:href="#C0_0_44cb9d1369-0" + x="92.946342" + y="332.55457" + style="fill:none;stroke:#696969" + id="use222" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g223"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.65268" + y="290.31851" + style="fill:none;stroke:#696969" + id="use223" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g224"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.90285" + y="252.52014" + style="fill:none;stroke:#696969" + id="use224" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g225"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.11395" + y="204.76926" + style="fill:none;stroke:#696969" + id="use225" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g226"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.86278" + y="313.80435" + style="fill:none;stroke:#696969" + id="use226" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g227"><use + xlink:href="#C0_0_44cb9d1369-0" + x="169.24091" + y="219.32729" + style="fill:none;stroke:#696969" + id="use227" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g228"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.97618" + y="294.68985" + style="fill:none;stroke:#696969" + id="use228" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g229"><use + xlink:href="#C0_0_44cb9d1369-0" + x="181.69006" + y="201.43298" + style="fill:none;stroke:#696969" + id="use229" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g230"><use + xlink:href="#C0_0_44cb9d1369-0" + x="192.80968" + y="256.36823" + style="fill:none;stroke:#696969" + id="use230" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g231"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.22774" + y="245.44727" + style="fill:none;stroke:#696969" + id="use231" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g232"><use + xlink:href="#C0_0_44cb9d1369-0" + x="200.37715" + y="54.038876" + style="fill:none;stroke:#696969" + id="use232" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g233"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.78696" + y="290.85815" + style="fill:none;stroke:#696969" + id="use233" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g234"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.34653" + y="188.40536" + style="fill:none;stroke:#696969" + id="use234" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g235"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.82568" + y="319.70987" + style="fill:none;stroke:#696969" + id="use235" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g236"><use + xlink:href="#C0_0_44cb9d1369-0" + x="165.23798" + y="257.29053" + style="fill:none;stroke:#696969" + id="use236" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g237"><use + xlink:href="#C0_0_44cb9d1369-0" + x="102.51721" + y="200.07768" + style="fill:none;stroke:#696969" + id="use237" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g238"><use + xlink:href="#C0_0_44cb9d1369-0" + x="197.21359" + y="184.44594" + style="fill:none;stroke:#696969" + id="use238" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g239"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.78326" + y="250.57439" + style="fill:none;stroke:#696969" + id="use239" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g240"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.23611" + y="308.30368" + style="fill:none;stroke:#696969" + id="use240" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g241"><use + xlink:href="#C0_0_44cb9d1369-0" + x="170.43222" + y="166.28584" + style="fill:none;stroke:#696969" + id="use241" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g242"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.3573" + y="307.5257" + style="fill:none;stroke:#696969" + id="use242" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g243"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.2043" + y="293.67734" + style="fill:none;stroke:#696969" + id="use243" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g244"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.29755" + y="280.55823" + style="fill:none;stroke:#696969" + id="use244" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g245"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.88496" + y="220.85448" + style="fill:none;stroke:#696969" + id="use245" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g246"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.67371" + y="293.42715" + style="fill:none;stroke:#696969" + id="use246" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g247"><use + xlink:href="#C0_0_44cb9d1369-0" + x="169.51408" + y="231.23518" + style="fill:none;stroke:#696969" + id="use247" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g248"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.22247" + y="223.14915" + style="fill:none;stroke:#696969" + id="use248" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g249"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.05412" + y="322.64291" + style="fill:none;stroke:#696969" + id="use249" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g250"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.6364" + y="169.38405" + style="fill:none;stroke:#696969" + id="use250" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g251"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.37663" + y="299.19388" + style="fill:none;stroke:#696969" + id="use251" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g252"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.73724" + y="263.04831" + style="fill:none;stroke:#696969" + id="use252" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g253"><use + xlink:href="#C0_0_44cb9d1369-0" + x="208.80624" + y="251.8259" + style="fill:none;stroke:#696969" + id="use253" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g254"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.69722" + y="270.24515" + style="fill:none;stroke:#696969" + id="use254" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g255"><use + xlink:href="#C0_0_44cb9d1369-0" + x="176.12932" + y="254.10527" + style="fill:none;stroke:#696969" + id="use255" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g256"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.7411" + y="304.98752" + style="fill:none;stroke:#696969" + id="use256" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g257"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.10959" + y="224.55287" + style="fill:none;stroke:#696969" + id="use257" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g258"><use + xlink:href="#C0_0_44cb9d1369-0" + x="179.23318" + y="225.54491" + style="fill:none;stroke:#696969" + id="use258" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g259"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.53484" + y="171.05516" + style="fill:none;stroke:#696969" + id="use259" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g260"><use + xlink:href="#C0_0_44cb9d1369-0" + x="146.98134" + y="224.96362" + style="fill:none;stroke:#696969" + id="use260" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g261"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.7836" + y="275.39716" + style="fill:none;stroke:#696969" + id="use261" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g262"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.30757" + y="287.34634" + style="fill:none;stroke:#696969" + id="use262" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g263"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.68597" + y="190.23906" + style="fill:none;stroke:#696969" + id="use263" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g264"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.96463" + y="261.52551" + style="fill:none;stroke:#696969" + id="use264" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g265"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.46835" + y="257.86456" + style="fill:none;stroke:#696969" + id="use265" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g266"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.4697" + y="279.95761" + style="fill:none;stroke:#696969" + id="use266" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g267"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.18294" + y="224.50185" + style="fill:none;stroke:#696969" + id="use267" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g268"><use + xlink:href="#C0_0_44cb9d1369-0" + x="223.35019" + y="216.31087" + style="fill:none;stroke:#696969" + id="use268" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g269"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.85339" + y="297.34012" + style="fill:none;stroke:#696969" + id="use269" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g270"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.97134" + y="250.62352" + style="fill:none;stroke:#696969" + id="use270" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g271"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.47935" + y="250.68745" + style="fill:none;stroke:#696969" + id="use271" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g272"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.33694" + y="262.91818" + style="fill:none;stroke:#696969" + id="use272" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g273"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.10914" + y="194.41954" + style="fill:none;stroke:#696969" + id="use273" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g274"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.15514" + y="271.5621" + style="fill:none;stroke:#696969" + id="use274" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g275"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.65105" + y="305.66251" + style="fill:none;stroke:#696969" + id="use275" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g276"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.22876" + y="308.70294" + style="fill:none;stroke:#696969" + id="use276" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g277"><use + xlink:href="#C0_0_44cb9d1369-0" + x="177.43369" + y="197.65222" + style="fill:none;stroke:#696969" + id="use277" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g278"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.09912" + y="292.28317" + style="fill:none;stroke:#696969" + id="use278" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g279"><use + xlink:href="#C0_0_44cb9d1369-0" + x="180.7097" + y="200.65553" + style="fill:none;stroke:#696969" + id="use279" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g280"><use + xlink:href="#C0_0_44cb9d1369-0" + x="153.48032" + y="256.44958" + style="fill:none;stroke:#696969" + id="use280" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g281"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.82446" + y="268.50119" + style="fill:none;stroke:#696969" + id="use281" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g282"><use + xlink:href="#C0_0_44cb9d1369-0" + x="166.2811" + y="272.00995" + style="fill:none;stroke:#696969" + id="use282" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g283"><use + xlink:href="#C0_0_44cb9d1369-0" + x="144.51247" + y="249.74693" + style="fill:none;stroke:#696969" + id="use283" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g284"><use + xlink:href="#C0_0_44cb9d1369-0" + x="168.24597" + y="196.54805" + style="fill:none;stroke:#696969" + id="use284" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g285"><use + xlink:href="#C0_0_44cb9d1369-0" + x="161.89558" + y="218.50533" + style="fill:none;stroke:#696969" + id="use285" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g286"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.03678" + y="211.31897" + style="fill:none;stroke:#696969" + id="use286" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g287"><use + xlink:href="#C0_0_44cb9d1369-0" + x="171.84503" + y="189.53404" + style="fill:none;stroke:#696969" + id="use287" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g288"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.12952" + y="294.5712" + style="fill:none;stroke:#696969" + id="use288" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g289"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.52107" + y="241.16441" + style="fill:none;stroke:#696969" + id="use289" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g290"><use + xlink:href="#C0_0_44cb9d1369-0" + x="169.56165" + y="263.97873" + style="fill:none;stroke:#696969" + id="use290" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g291"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.94208" + y="297.8674" + style="fill:none;stroke:#696969" + id="use291" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g292"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.65706" + y="227.46089" + style="fill:none;stroke:#696969" + id="use292" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g293"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.30711" + y="219.46715" + style="fill:none;stroke:#696969" + id="use293" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g294"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.43187" + y="305.86432" + style="fill:none;stroke:#696969" + id="use294" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g295"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.5002" + y="309.29663" + style="fill:none;stroke:#696969" + id="use295" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g296"><use + xlink:href="#C0_0_44cb9d1369-0" + x="103.33385" + y="277.19623" + style="fill:none;stroke:#696969" + id="use296" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g297"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.13754" + y="241.89668" + style="fill:none;stroke:#696969" + id="use297" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g298"><use + xlink:href="#C0_0_44cb9d1369-0" + x="121.36151" + y="263.55161" + style="fill:none;stroke:#696969" + id="use298" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g299"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.60557" + y="263.9379" + style="fill:none;stroke:#696969" + id="use299" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g300"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.05648" + y="280.66333" + style="fill:none;stroke:#696969" + id="use300" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g301"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.43214" + y="198.56993" + style="fill:none;stroke:#696969" + id="use301" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g302"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.6814" + y="268.22647" + style="fill:none;stroke:#696969" + id="use302" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g303"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.06349" + y="277.26031" + style="fill:none;stroke:#696969" + id="use303" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g304"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.23659" + y="286.91696" + style="fill:none;stroke:#696969" + id="use304" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g305"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.32819" + y="284.35944" + style="fill:none;stroke:#696969" + id="use305" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g306"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.93742" + y="288.49976" + style="fill:none;stroke:#696969" + id="use306" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g307"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.33862" + y="260.9071" + style="fill:none;stroke:#696969" + id="use307" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g308"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.42632" + y="317.29831" + style="fill:none;stroke:#696969" + id="use308" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g309"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.12836" + y="242.26721" + style="fill:none;stroke:#696969" + id="use309" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g310"><use + xlink:href="#C0_0_44cb9d1369-0" + x="181.29729" + y="216.54016" + style="fill:none;stroke:#696969" + id="use310" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g311"><use + xlink:href="#C0_0_44cb9d1369-0" + x="167.36705" + y="249.20325" + style="fill:none;stroke:#696969" + id="use311" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g312"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.12828" + y="296.97525" + style="fill:none;stroke:#696969" + id="use312" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g313"><use + xlink:href="#C0_0_44cb9d1369-0" + x="166.28006" + y="200.42722" + style="fill:none;stroke:#696969" + id="use313" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g314"><use + xlink:href="#C0_0_44cb9d1369-0" + x="105.5207" + y="309.89996" + style="fill:none;stroke:#696969" + id="use314" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g315"><use + xlink:href="#C0_0_44cb9d1369-0" + x="182.49109" + y="228.45421" + style="fill:none;stroke:#696969" + id="use315" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g316"><use + xlink:href="#C0_0_44cb9d1369-0" + x="158.8264" + y="229.11705" + style="fill:none;stroke:#696969" + id="use316" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g317"><use + xlink:href="#C0_0_44cb9d1369-0" + x="171.17926" + y="232.95113" + style="fill:none;stroke:#696969" + id="use317" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g318"><use + xlink:href="#C0_0_44cb9d1369-0" + x="156.2681" + y="235.39821" + style="fill:none;stroke:#696969" + id="use318" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g319"><use + xlink:href="#C0_0_44cb9d1369-0" + x="159.52263" + y="40.777157" + style="fill:none;stroke:#696969" + id="use319" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g320"><use + xlink:href="#C0_0_44cb9d1369-0" + x="113.99094" + y="317.16013" + style="fill:none;stroke:#696969" + id="use320" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g321"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.90068" + y="296.99557" + style="fill:none;stroke:#696969" + id="use321" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g322"><use + xlink:href="#C0_0_44cb9d1369-0" + x="171.64775" + y="206.43091" + style="fill:none;stroke:#696969" + id="use322" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g323"><use + xlink:href="#C0_0_44cb9d1369-0" + x="106.14714" + y="256.37573" + style="fill:none;stroke:#696969" + id="use323" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g324"><use + xlink:href="#C0_0_44cb9d1369-0" + x="103.39532" + y="276.92947" + style="fill:none;stroke:#696969" + id="use324" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g325"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.30298" + y="257.62192" + style="fill:none;stroke:#696969" + id="use325" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g326"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.24249" + y="277.89975" + style="fill:none;stroke:#696969" + id="use326" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g327"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.14294" + y="246.09523" + style="fill:none;stroke:#696969" + id="use327" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g328"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.41542" + y="272.18033" + style="fill:none;stroke:#696969" + id="use328" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g329"><use + xlink:href="#C0_0_44cb9d1369-0" + x="166.17931" + y="207.23209" + style="fill:none;stroke:#696969" + id="use329" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g330"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.82628" + y="285.07233" + style="fill:none;stroke:#696969" + id="use330" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g331"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.53128" + y="299.18317" + style="fill:none;stroke:#696969" + id="use331" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g332"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.36243" + y="321.56473" + style="fill:none;stroke:#696969" + id="use332" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g333"><use + xlink:href="#C0_0_44cb9d1369-0" + x="176.35649" + y="261.61905" + style="fill:none;stroke:#696969" + id="use333" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g334"><use + xlink:href="#C0_0_44cb9d1369-0" + x="101.01324" + y="319.80444" + style="fill:none;stroke:#696969" + id="use334" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g335"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.02733" + y="281.41" + style="fill:none;stroke:#696969" + id="use335" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g336"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.80077" + y="269.70575" + style="fill:none;stroke:#696969" + id="use336" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g337"><use + xlink:href="#C0_0_44cb9d1369-0" + x="118.91511" + y="283.32684" + style="fill:none;stroke:#696969" + id="use337" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g338"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.17848" + y="135.27271" + style="fill:none;stroke:#696969" + id="use338" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g339"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.55106" + y="263.3327" + style="fill:none;stroke:#696969" + id="use339" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g340"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.11516" + y="178.4366" + style="fill:none;stroke:#696969" + id="use340" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g341"><use + xlink:href="#C0_0_44cb9d1369-0" + x="95.166397" + y="308.74805" + style="fill:none;stroke:#696969" + id="use341" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g342"><use + xlink:href="#C0_0_44cb9d1369-0" + x="155.89496" + y="222.24431" + style="fill:none;stroke:#696969" + id="use342" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g343"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.9695" + y="238.25587" + style="fill:none;stroke:#696969" + id="use343" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g344"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.29849" + y="275.42923" + style="fill:none;stroke:#696969" + id="use344" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g345"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.17031" + y="304.37079" + style="fill:none;stroke:#696969" + id="use345" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g346"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.01775" + y="272.03845" + style="fill:none;stroke:#696969" + id="use346" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g347"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.86026" + y="315.07455" + style="fill:none;stroke:#696969" + id="use347" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g348"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.9438" + y="219.5377" + style="fill:none;stroke:#696969" + id="use348" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g349"><use + xlink:href="#C0_0_44cb9d1369-0" + x="180.76648" + y="252.34244" + style="fill:none;stroke:#696969" + id="use349" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g350"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.5878" + y="273.42267" + style="fill:none;stroke:#696969" + id="use350" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g351"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.36142" + y="211.99413" + style="fill:none;stroke:#696969" + id="use351" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g352"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.93272" + y="244.12509" + style="fill:none;stroke:#696969" + id="use352" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g353"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.09698" + y="300.07446" + style="fill:none;stroke:#696969" + id="use353" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g354"><use + xlink:href="#C0_0_44cb9d1369-0" + x="220.99277" + y="252.17685" + style="fill:none;stroke:#696969" + id="use354" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g355"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.67862" + y="223.73244" + style="fill:none;stroke:#696969" + id="use355" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g356"><use + xlink:href="#C0_0_44cb9d1369-0" + x="214.63347" + y="195.80934" + style="fill:none;stroke:#696969" + id="use356" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g357"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.66536" + y="228.78636" + style="fill:none;stroke:#696969" + id="use357" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g358"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.99753" + y="227.82677" + style="fill:none;stroke:#696969" + id="use358" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g359"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.22791" + y="275.84839" + style="fill:none;stroke:#696969" + id="use359" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g360"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.74887" + y="191.41698" + style="fill:none;stroke:#696969" + id="use360" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g361"><use + xlink:href="#C0_0_44cb9d1369-0" + x="159.49828" + y="304.12231" + style="fill:none;stroke:#696969" + id="use361" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g362"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.0155" + y="228.99916" + style="fill:none;stroke:#696969" + id="use362" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g363"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.20805" + y="281.12216" + style="fill:none;stroke:#696969" + id="use363" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g364"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.40114" + y="313.62997" + style="fill:none;stroke:#696969" + id="use364" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g365"><use + xlink:href="#C0_0_44cb9d1369-0" + x="144.82745" + y="268.16293" + style="fill:none;stroke:#696969" + id="use365" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g366"><use + xlink:href="#C0_0_44cb9d1369-0" + x="169.13954" + y="242.91537" + style="fill:none;stroke:#696969" + id="use366" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g367"><use + xlink:href="#C0_0_44cb9d1369-0" + x="176.62923" + y="263.72095" + style="fill:none;stroke:#696969" + id="use367" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g368"><use + xlink:href="#C0_0_44cb9d1369-0" + x="155.90323" + y="256.86459" + style="fill:none;stroke:#696969" + id="use368" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g369"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.94524" + y="211.51566" + style="fill:none;stroke:#696969" + id="use369" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g370"><use + xlink:href="#C0_0_44cb9d1369-0" + x="181.69098" + y="192.65491" + style="fill:none;stroke:#696969" + id="use370" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g371"><use + xlink:href="#C0_0_44cb9d1369-0" + x="121.88582" + y="304.14102" + style="fill:none;stroke:#696969" + id="use371" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g372"><use + xlink:href="#C0_0_44cb9d1369-0" + x="205.29094" + y="209.12253" + style="fill:none;stroke:#696969" + id="use372" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g373"><use + xlink:href="#C0_0_44cb9d1369-0" + x="208.89474" + y="221.573" + style="fill:none;stroke:#696969" + id="use373" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g374"><use + xlink:href="#C0_0_44cb9d1369-0" + x="100.147" + y="318.25488" + style="fill:none;stroke:#696969" + id="use374" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g375"><use + xlink:href="#C0_0_44cb9d1369-0" + x="152.64743" + y="258.1283" + style="fill:none;stroke:#696969" + id="use375" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g376"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.09544" + y="243.91628" + style="fill:none;stroke:#696969" + id="use376" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g377"><use + xlink:href="#C0_0_44cb9d1369-0" + x="167.13219" + y="236.06909" + style="fill:none;stroke:#696969" + id="use377" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g378"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.49953" + y="309.97604" + style="fill:none;stroke:#696969" + id="use378" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g379"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.67456" + y="236.52144" + style="fill:none;stroke:#696969" + id="use379" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g380"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.34216" + y="238.41339" + style="fill:none;stroke:#696969" + id="use380" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g381"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.22123" + y="158.68193" + style="fill:none;stroke:#696969" + id="use381" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g382"><use + xlink:href="#C0_0_44cb9d1369-0" + x="190.37297" + y="285.53683" + style="fill:none;stroke:#696969" + id="use382" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g383"><use + xlink:href="#C0_0_44cb9d1369-0" + x="179.15688" + y="232.68138" + style="fill:none;stroke:#696969" + id="use383" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g384"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.69994" + y="244.86389" + style="fill:none;stroke:#696969" + id="use384" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g385"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.59547" + y="313.91608" + style="fill:none;stroke:#696969" + id="use385" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g386"><use + xlink:href="#C0_0_44cb9d1369-0" + x="208.53561" + y="183.99622" + style="fill:none;stroke:#696969" + id="use386" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g387"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.35046" + y="299.26526" + style="fill:none;stroke:#696969" + id="use387" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g388"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.40498" + y="313.99979" + style="fill:none;stroke:#696969" + id="use388" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g389"><use + xlink:href="#C0_0_44cb9d1369-0" + x="168.7384" + y="257.70282" + style="fill:none;stroke:#696969" + id="use389" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g390"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.09894" + y="259.5863" + style="fill:none;stroke:#696969" + id="use390" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g391"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.44888" + y="239.90437" + style="fill:none;stroke:#696969" + id="use391" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g392"><use + xlink:href="#C0_0_44cb9d1369-0" + x="121.91231" + y="256.93552" + style="fill:none;stroke:#696969" + id="use392" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g393"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.1684" + y="300.11136" + style="fill:none;stroke:#696969" + id="use393" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g394"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.31267" + y="225.58887" + style="fill:none;stroke:#696969" + id="use394" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g395"><use + xlink:href="#C0_0_44cb9d1369-0" + x="108.08919" + y="299.6676" + style="fill:none;stroke:#696969" + id="use395" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g396"><use + xlink:href="#C0_0_44cb9d1369-0" + x="158.02953" + y="285.17703" + style="fill:none;stroke:#696969" + id="use396" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g397"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.74112" + y="238.2252" + style="fill:none;stroke:#696969" + id="use397" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g398"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.3306" + y="239.53954" + style="fill:none;stroke:#696969" + id="use398" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g399"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.37989" + y="304.45944" + style="fill:none;stroke:#696969" + id="use399" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g400"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.08742" + y="205.7421" + style="fill:none;stroke:#696969" + id="use400" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g401"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.54675" + y="225.09267" + style="fill:none;stroke:#696969" + id="use401" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g402"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.52914" + y="268.76047" + style="fill:none;stroke:#696969" + id="use402" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g403"><use + xlink:href="#C0_0_44cb9d1369-0" + x="90.329514" + y="267.86356" + style="fill:none;stroke:#696969" + id="use403" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g404"><use + xlink:href="#C0_0_44cb9d1369-0" + x="181.7471" + y="165.64992" + style="fill:none;stroke:#696969" + id="use404" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g405"><use + xlink:href="#C0_0_44cb9d1369-0" + x="111.48787" + y="254.26123" + style="fill:none;stroke:#696969" + id="use405" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g406"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.64746" + y="255.35904" + style="fill:none;stroke:#696969" + id="use406" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g407"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.74522" + y="293.71112" + style="fill:none;stroke:#696969" + id="use407" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g408"><use + xlink:href="#C0_0_44cb9d1369-0" + x="168.2196" + y="265.12479" + style="fill:none;stroke:#696969" + id="use408" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g409"><use + xlink:href="#C0_0_44cb9d1369-0" + x="154.38416" + y="123.88129" + style="fill:none;stroke:#696969" + id="use409" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g410"><use + xlink:href="#C0_0_44cb9d1369-0" + x="94.248085" + y="307.47858" + style="fill:none;stroke:#696969" + id="use410" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g411"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.39207" + y="308.38364" + style="fill:none;stroke:#696969" + id="use411" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g412"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.19388" + y="269.00952" + style="fill:none;stroke:#696969" + id="use412" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g413"><use + xlink:href="#C0_0_44cb9d1369-0" + x="153.89867" + y="295.75262" + style="fill:none;stroke:#696969" + id="use413" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g414"><use + xlink:href="#C0_0_44cb9d1369-0" + x="163.7449" + y="187.69073" + style="fill:none;stroke:#696969" + id="use414" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g415"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.24713" + y="308.78705" + style="fill:none;stroke:#696969" + id="use415" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g416"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.28635" + y="278.16418" + style="fill:none;stroke:#696969" + id="use416" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g417"><use + xlink:href="#C0_0_44cb9d1369-0" + x="181.49097" + y="188.18501" + style="fill:none;stroke:#696969" + id="use417" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g418"><use + xlink:href="#C0_0_44cb9d1369-0" + x="204.64719" + y="267.29684" + style="fill:none;stroke:#696969" + id="use418" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g419"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.09261" + y="293.95239" + style="fill:none;stroke:#696969" + id="use419" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g420"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.48996" + y="297.91406" + style="fill:none;stroke:#696969" + id="use420" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g421"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.72282" + y="288.98492" + style="fill:none;stroke:#696969" + id="use421" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g422"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.56829" + y="276.31906" + style="fill:none;stroke:#696969" + id="use422" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g423"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.4411" + y="281.86292" + style="fill:none;stroke:#696969" + id="use423" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g424"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.00484" + y="271.96143" + style="fill:none;stroke:#696969" + id="use424" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g425"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.30843" + y="233.57108" + style="fill:none;stroke:#696969" + id="use425" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g426"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.57174" + y="284.88263" + style="fill:none;stroke:#696969" + id="use426" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g427"><use + xlink:href="#C0_0_44cb9d1369-0" + x="157.33276" + y="228.20374" + style="fill:none;stroke:#696969" + id="use427" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g428"><use + xlink:href="#C0_0_44cb9d1369-0" + x="221.06306" + y="174.00188" + style="fill:none;stroke:#696969" + id="use428" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g429"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.50829" + y="257.43738" + style="fill:none;stroke:#696969" + id="use429" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g430" /><g + clip-path="url(#pa8ac0eece6-2)" + id="g431"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.31308" + y="236.39575" + style="fill:none;stroke:#696969" + id="use431" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g432"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.69347" + y="252.58788" + style="fill:none;stroke:#696969" + id="use432" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g433"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.81848" + y="238.56059" + style="fill:none;stroke:#696969" + id="use433" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g434"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.54039" + y="274.33255" + style="fill:none;stroke:#696969" + id="use434" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g435"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.17343" + y="320.89169" + style="fill:none;stroke:#696969" + id="use435" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g436"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.23488" + y="202.70178" + style="fill:none;stroke:#696969" + id="use436" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g437"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.5283" + y="273.30283" + style="fill:none;stroke:#696969" + id="use437" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g438"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.04189" + y="282.99487" + style="fill:none;stroke:#696969" + id="use438" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g439"><use + xlink:href="#C0_0_44cb9d1369-0" + x="113.61681" + y="314.67374" + style="fill:none;stroke:#696969" + id="use439" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g440"><use + xlink:href="#C0_0_44cb9d1369-0" + x="176.23788" + y="221.1393" + style="fill:none;stroke:#696969" + id="use440" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g441"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.09129" + y="285.38535" + style="fill:none;stroke:#696969" + id="use441" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g442"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.60402" + y="233.85258" + style="fill:none;stroke:#696969" + id="use442" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g443"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.21321" + y="248.07239" + style="fill:none;stroke:#696969" + id="use443" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g444"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.24802" + y="220.26695" + style="fill:none;stroke:#696969" + id="use444" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g445"><use + xlink:href="#C0_0_44cb9d1369-0" + x="161.95239" + y="301.13797" + style="fill:none;stroke:#696969" + id="use445" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g446"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.3456" + y="265.14923" + style="fill:none;stroke:#696969" + id="use446" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g447"><use + xlink:href="#C0_0_44cb9d1369-0" + x="161.78616" + y="275.13507" + style="fill:none;stroke:#696969" + id="use447" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g448"><use + xlink:href="#C0_0_44cb9d1369-0" + x="178.02342" + y="254.87628" + style="fill:none;stroke:#696969" + id="use448" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g449"><use + xlink:href="#C0_0_44cb9d1369-0" + x="164.51529" + y="262.89774" + style="fill:none;stroke:#696969" + id="use449" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g450"><use + xlink:href="#C0_0_44cb9d1369-0" + x="162.38229" + y="205.48254" + style="fill:none;stroke:#696969" + id="use450" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g451"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.61267" + y="240.875" + style="fill:none;stroke:#696969" + id="use451" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g452"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.18604" + y="271.29324" + style="fill:none;stroke:#696969" + id="use452" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g453"><use + xlink:href="#C0_0_44cb9d1369-0" + x="163.85178" + y="277.30298" + style="fill:none;stroke:#696969" + id="use453" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g454"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.82002" + y="261.6246" + style="fill:none;stroke:#696969" + id="use454" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g455"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.16924" + y="244.27301" + style="fill:none;stroke:#696969" + id="use455" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g456"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.50984" + y="206.18356" + style="fill:none;stroke:#696969" + id="use456" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g457"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.22184" + y="306.86948" + style="fill:none;stroke:#696969" + id="use457" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g458"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.72803" + y="275.86902" + style="fill:none;stroke:#696969" + id="use458" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g459"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.63177" + y="269.96365" + style="fill:none;stroke:#696969" + id="use459" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g460"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.79263" + y="265.76395" + style="fill:none;stroke:#696969" + id="use460" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g461"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.18121" + y="213.39659" + style="fill:none;stroke:#696969" + id="use461" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g462"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.01416" + y="299.28046" + style="fill:none;stroke:#696969" + id="use462" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g463"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.15497" + y="287.4462" + style="fill:none;stroke:#696969" + id="use463" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g464"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.93044" + y="210.77428" + style="fill:none;stroke:#696969" + id="use464" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g465"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.27043" + y="284.06592" + style="fill:none;stroke:#696969" + id="use465" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g466"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.07681" + y="238.67262" + style="fill:none;stroke:#696969" + id="use466" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g467"><use + xlink:href="#C0_0_44cb9d1369-0" + x="108.50195" + y="289.8439" + style="fill:none;stroke:#696969" + id="use467" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g468"><use + xlink:href="#C0_0_44cb9d1369-0" + x="156.2515" + y="212.47046" + style="fill:none;stroke:#696969" + id="use468" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g469"><use + xlink:href="#C0_0_44cb9d1369-0" + x="200.06546" + y="198.76466" + style="fill:none;stroke:#696969" + id="use469" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g470"><use + xlink:href="#C0_0_44cb9d1369-0" + x="173.61057" + y="236.99146" + style="fill:none;stroke:#696969" + id="use470" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g471"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.51511" + y="276.32648" + style="fill:none;stroke:#696969" + id="use471" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g472"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.0769" + y="270.02359" + style="fill:none;stroke:#696969" + id="use472" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g473"><use + xlink:href="#C0_0_44cb9d1369-0" + x="159.32574" + y="262.90399" + style="fill:none;stroke:#696969" + id="use473" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g474"><use + xlink:href="#C0_0_44cb9d1369-0" + x="95.058357" + y="308.96625" + style="fill:none;stroke:#696969" + id="use474" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g475"><use + xlink:href="#C0_0_44cb9d1369-0" + x="156.23286" + y="252.74916" + style="fill:none;stroke:#696969" + id="use475" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g476"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.46582" + y="302.14053" + style="fill:none;stroke:#696969" + id="use476" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g477"><use + xlink:href="#C0_0_44cb9d1369-0" + x="161.01123" + y="170.01585" + style="fill:none;stroke:#696969" + id="use477" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g478"><use + xlink:href="#C0_0_44cb9d1369-0" + x="164.24036" + y="247.96355" + style="fill:none;stroke:#696969" + id="use478" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g479"><use + xlink:href="#C0_0_44cb9d1369-0" + x="146.66069" + y="303.0687" + style="fill:none;stroke:#696969" + id="use479" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g480"><use + xlink:href="#C0_0_44cb9d1369-0" + x="118.67834" + y="308.65799" + style="fill:none;stroke:#696969" + id="use480" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g481"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.7173" + y="278.01724" + style="fill:none;stroke:#696969" + id="use481" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g482"><use + xlink:href="#C0_0_44cb9d1369-0" + x="99.932709" + y="333.66095" + style="fill:none;stroke:#696969" + id="use482" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g483"><use + xlink:href="#C0_0_44cb9d1369-0" + x="168.43761" + y="279.01987" + style="fill:none;stroke:#696969" + id="use483" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g484"><use + xlink:href="#C0_0_44cb9d1369-0" + x="170.2364" + y="276.62039" + style="fill:none;stroke:#696969" + id="use484" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g485"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.42252" + y="266.81607" + style="fill:none;stroke:#696969" + id="use485" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g486"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.55602" + y="237.95432" + style="fill:none;stroke:#696969" + id="use486" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g487"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.04219" + y="282.57928" + style="fill:none;stroke:#696969" + id="use487" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g488"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.88669" + y="278.50018" + style="fill:none;stroke:#696969" + id="use488" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g489"><use + xlink:href="#C0_0_44cb9d1369-0" + x="166.88574" + y="143.94203" + style="fill:none;stroke:#696969" + id="use489" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g490"><use + xlink:href="#C0_0_44cb9d1369-0" + x="201.64198" + y="157.90337" + style="fill:none;stroke:#696969" + id="use490" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g491"><use + xlink:href="#C0_0_44cb9d1369-0" + x="158.21416" + y="240.34572" + style="fill:none;stroke:#696969" + id="use491" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g492"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.77411" + y="242.55991" + style="fill:none;stroke:#696969" + id="use492" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g493"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.54671" + y="182.37604" + style="fill:none;stroke:#696969" + id="use493" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g494"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.64977" + y="302.05511" + style="fill:none;stroke:#696969" + id="use494" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g495"><use + xlink:href="#C0_0_44cb9d1369-0" + x="109.84686" + y="286.71628" + style="fill:none;stroke:#696969" + id="use495" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g496"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.45642" + y="279.936" + style="fill:none;stroke:#696969" + id="use496" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g497"><use + xlink:href="#C0_0_44cb9d1369-0" + x="169.36711" + y="209.56142" + style="fill:none;stroke:#696969" + id="use497" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g498"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.96826" + y="311.99252" + style="fill:none;stroke:#696969" + id="use498" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g499"><use + xlink:href="#C0_0_44cb9d1369-0" + x="159.22058" + y="255.97842" + style="fill:none;stroke:#696969" + id="use499" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g500"><use + xlink:href="#C0_0_44cb9d1369-0" + x="99.261169" + y="269.47818" + style="fill:none;stroke:#696969" + id="use500" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g501"><use + xlink:href="#C0_0_44cb9d1369-0" + x="202.96953" + y="115.98127" + style="fill:none;stroke:#696969" + id="use501" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g502"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.55179" + y="340.7204" + style="fill:none;stroke:#696969" + id="use502" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g503"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.72258" + y="276.58862" + style="fill:none;stroke:#696969" + id="use503" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g504"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.77219" + y="287.15912" + style="fill:none;stroke:#696969" + id="use504" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g505"><use + xlink:href="#C0_0_44cb9d1369-0" + x="102.10153" + y="334.6424" + style="fill:none;stroke:#696969" + id="use505" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g506"><use + xlink:href="#C0_0_44cb9d1369-0" + x="109.28703" + y="289.75583" + style="fill:none;stroke:#696969" + id="use506" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g507"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.3142" + y="309.84167" + style="fill:none;stroke:#696969" + id="use507" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g508"><use + xlink:href="#C0_0_44cb9d1369-0" + x="170.31078" + y="259.28275" + style="fill:none;stroke:#696969" + id="use508" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g509"><use + xlink:href="#C0_0_44cb9d1369-0" + x="153.00412" + y="212.4785" + style="fill:none;stroke:#696969" + id="use509" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g510"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.73133" + y="271.77798" + style="fill:none;stroke:#696969" + id="use510" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g511"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.06416" + y="324.65143" + style="fill:none;stroke:#696969" + id="use511" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g512"><use + xlink:href="#C0_0_44cb9d1369-0" + x="185.49989" + y="177.44781" + style="fill:none;stroke:#696969" + id="use512" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g513"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.79437" + y="255.82179" + style="fill:none;stroke:#696969" + id="use513" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g514"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.12525" + y="280.77927" + style="fill:none;stroke:#696969" + id="use514" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g515"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.02539" + y="305.42389" + style="fill:none;stroke:#696969" + id="use515" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g516"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.8595" + y="262.74985" + style="fill:none;stroke:#696969" + id="use516" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g517"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.01903" + y="266.06961" + style="fill:none;stroke:#696969" + id="use517" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g518"><use + xlink:href="#C0_0_44cb9d1369-0" + x="108.15715" + y="310.26212" + style="fill:none;stroke:#696969" + id="use518" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g519"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.92056" + y="289.79962" + style="fill:none;stroke:#696969" + id="use519" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g520"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.64966" + y="250.32092" + style="fill:none;stroke:#696969" + id="use520" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g521"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.66685" + y="254.88158" + style="fill:none;stroke:#696969" + id="use521" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g522"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.32096" + y="344.83591" + style="fill:none;stroke:#696969" + id="use522" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g523"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.90175" + y="287.94418" + style="fill:none;stroke:#696969" + id="use523" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g524"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.13411" + y="268.06766" + style="fill:none;stroke:#696969" + id="use524" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g525"><use + xlink:href="#C0_0_44cb9d1369-0" + x="155.58192" + y="276.54053" + style="fill:none;stroke:#696969" + id="use525" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g526"><use + xlink:href="#C0_0_44cb9d1369-0" + x="191.1732" + y="290.80319" + style="fill:none;stroke:#696969" + id="use526" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g527"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.26632" + y="268.94171" + style="fill:none;stroke:#696969" + id="use527" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g528"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.01625" + y="235.81599" + style="fill:none;stroke:#696969" + id="use528" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g529"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.97951" + y="307.65326" + style="fill:none;stroke:#696969" + id="use529" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g530"><use + xlink:href="#C0_0_44cb9d1369-0" + x="111.69219" + y="286.3436" + style="fill:none;stroke:#696969" + id="use530" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g531"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.5" + y="259.67908" + style="fill:none;stroke:#696969" + id="use531" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g532"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.99696" + y="275.22961" + style="fill:none;stroke:#696969" + id="use532" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g533"><use + xlink:href="#C0_0_44cb9d1369-0" + x="167.66188" + y="229.23567" + style="fill:none;stroke:#696969" + id="use533" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g534"><use + xlink:href="#C0_0_44cb9d1369-0" + x="155.41498" + y="236.74919" + style="fill:none;stroke:#696969" + id="use534" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g535"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.47649" + y="299.44742" + style="fill:none;stroke:#696969" + id="use535" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g536"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.26178" + y="258.90564" + style="fill:none;stroke:#696969" + id="use536" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g537"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.41499" + y="279.74393" + style="fill:none;stroke:#696969" + id="use537" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g538"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.2935" + y="283.55658" + style="fill:none;stroke:#696969" + id="use538" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g539"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.27397" + y="216.74672" + style="fill:none;stroke:#696969" + id="use539" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g540"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.91849" + y="278.20523" + style="fill:none;stroke:#696969" + id="use540" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g541"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.90764" + y="293.89563" + style="fill:none;stroke:#696969" + id="use541" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g542"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.12177" + y="269.93359" + style="fill:none;stroke:#696969" + id="use542" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g543"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.31391" + y="262.00836" + style="fill:none;stroke:#696969" + id="use543" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g544"><use + xlink:href="#C0_0_44cb9d1369-0" + x="111.86412" + y="253.14415" + style="fill:none;stroke:#696969" + id="use544" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g545"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.1449" + y="270.69107" + style="fill:none;stroke:#696969" + id="use545" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g546"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.16273" + y="294.15109" + style="fill:none;stroke:#696969" + id="use546" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g547"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.32042" + y="257.83667" + style="fill:none;stroke:#696969" + id="use547" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g548"><use + xlink:href="#C0_0_44cb9d1369-0" + x="226.19095" + y="210.31651" + style="fill:none;stroke:#696969" + id="use548" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g549"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.56274" + y="298.11035" + style="fill:none;stroke:#696969" + id="use549" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g550"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.47015" + y="300.15656" + style="fill:none;stroke:#696969" + id="use550" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g551"><use + xlink:href="#C0_0_44cb9d1369-0" + x="99.63195" + y="286.591" + style="fill:none;stroke:#696969" + id="use551" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g552"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.66277" + y="305.80621" + style="fill:none;stroke:#696969" + id="use552" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g553"><use + xlink:href="#C0_0_44cb9d1369-0" + x="202.33749" + y="199.76326" + style="fill:none;stroke:#696969" + id="use553" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g554"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.0153" + y="245.87047" + style="fill:none;stroke:#696969" + id="use554" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g555"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.46411" + y="255.42119" + style="fill:none;stroke:#696969" + id="use555" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g556"><use + xlink:href="#C0_0_44cb9d1369-0" + x="159.19843" + y="309.24167" + style="fill:none;stroke:#696969" + id="use556" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g557"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.09288" + y="280.82309" + style="fill:none;stroke:#696969" + id="use557" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g558"><use + xlink:href="#C0_0_44cb9d1369-0" + x="182.66635" + y="259.32489" + style="fill:none;stroke:#696969" + id="use558" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g559"><use + xlink:href="#C0_0_44cb9d1369-0" + x="157.10062" + y="115.56734" + style="fill:none;stroke:#696969" + id="use559" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g560"><use + xlink:href="#C0_0_44cb9d1369-0" + x="154.60306" + y="270.84488" + style="fill:none;stroke:#696969" + id="use560" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g561"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.44987" + y="274.28891" + style="fill:none;stroke:#696969" + id="use561" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g562"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.02333" + y="308.14719" + style="fill:none;stroke:#696969" + id="use562" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g563"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.46018" + y="271.52664" + style="fill:none;stroke:#696969" + id="use563" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g564"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.68557" + y="244.31841" + style="fill:none;stroke:#696969" + id="use564" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g565"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.58438" + y="280.49466" + style="fill:none;stroke:#696969" + id="use565" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g566"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.70175" + y="218.28998" + style="fill:none;stroke:#696969" + id="use566" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g567"><use + xlink:href="#C0_0_44cb9d1369-0" + x="162.00603" + y="299.625" + style="fill:none;stroke:#696969" + id="use567" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g568"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.7519" + y="224.92426" + style="fill:none;stroke:#696969" + id="use568" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g569"><use + xlink:href="#C0_0_44cb9d1369-0" + x="206.49724" + y="156.96075" + style="fill:none;stroke:#696969" + id="use569" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g570"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.25854" + y="267.04495" + style="fill:none;stroke:#696969" + id="use570" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g571"><use + xlink:href="#C0_0_44cb9d1369-0" + x="156.7094" + y="275.94821" + style="fill:none;stroke:#696969" + id="use571" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g572"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.607" + y="259.1185" + style="fill:none;stroke:#696969" + id="use572" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g573"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.29942" + y="291.68277" + style="fill:none;stroke:#696969" + id="use573" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g574"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.84027" + y="242.64503" + style="fill:none;stroke:#696969" + id="use574" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g575"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.52724" + y="257.56165" + style="fill:none;stroke:#696969" + id="use575" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g576"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.38606" + y="294.46466" + style="fill:none;stroke:#696969" + id="use576" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g577"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.92265" + y="284.44016" + style="fill:none;stroke:#696969" + id="use577" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g578"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.30495" + y="304.00949" + style="fill:none;stroke:#696969" + id="use578" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g579"><use + xlink:href="#C0_0_44cb9d1369-0" + x="101.75925" + y="252.63925" + style="fill:none;stroke:#696969" + id="use579" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g580"><use + xlink:href="#C0_0_44cb9d1369-0" + x="144.29494" + y="275.29749" + style="fill:none;stroke:#696969" + id="use580" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g581"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.90111" + y="302.08026" + style="fill:none;stroke:#696969" + id="use581" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g582"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.80605" + y="225.13948" + style="fill:none;stroke:#696969" + id="use582" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g583"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.14478" + y="211.61247" + style="fill:none;stroke:#696969" + id="use583" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g584"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.56724" + y="302.01959" + style="fill:none;stroke:#696969" + id="use584" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g585"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.1101" + y="284.59302" + style="fill:none;stroke:#696969" + id="use585" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g586"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.73828" + y="154.91792" + style="fill:none;stroke:#696969" + id="use586" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g587"><use + xlink:href="#C0_0_44cb9d1369-0" + x="100.1282" + y="334.52243" + style="fill:none;stroke:#696969" + id="use587" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g588"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.30557" + y="251.88121" + style="fill:none;stroke:#696969" + id="use588" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g589"><use + xlink:href="#C0_0_44cb9d1369-0" + x="183.80659" + y="164.30838" + style="fill:none;stroke:#696969" + id="use589" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g590" /><g + clip-path="url(#pa8ac0eece6-2)" + id="g591"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.36765" + y="250.32509" + style="fill:none;stroke:#696969" + id="use591" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g592"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.22362" + y="307.43298" + style="fill:none;stroke:#696969" + id="use592" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g593"><use + xlink:href="#C0_0_44cb9d1369-0" + x="156.56419" + y="183.18665" + style="fill:none;stroke:#696969" + id="use593" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g594"><use + xlink:href="#C0_0_44cb9d1369-0" + x="158.26817" + y="258.89426" + style="fill:none;stroke:#696969" + id="use594" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g595"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.7075" + y="301.52463" + style="fill:none;stroke:#696969" + id="use595" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g596"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.22482" + y="295.10602" + style="fill:none;stroke:#696969" + id="use596" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g597"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.34981" + y="250.44043" + style="fill:none;stroke:#696969" + id="use597" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g598"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.86328" + y="280.10275" + style="fill:none;stroke:#696969" + id="use598" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g599"><use + xlink:href="#C0_0_44cb9d1369-0" + x="166.76434" + y="210.6256" + style="fill:none;stroke:#696969" + id="use599" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g600"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.75604" + y="213.96347" + style="fill:none;stroke:#696969" + id="use600" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g601"><use + xlink:href="#C0_0_44cb9d1369-0" + x="113.78395" + y="202.01375" + style="fill:none;stroke:#696969" + id="use601" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g602"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.03638" + y="172.5753" + style="fill:none;stroke:#696969" + id="use602" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g603"><use + xlink:href="#C0_0_44cb9d1369-0" + x="215.86385" + y="153.67598" + style="fill:none;stroke:#696969" + id="use603" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g604"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.40485" + y="291.32309" + style="fill:none;stroke:#696969" + id="use604" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g605"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.37779" + y="244.89102" + style="fill:none;stroke:#696969" + id="use605" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g606"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.46208" + y="237.67625" + style="fill:none;stroke:#696969" + id="use606" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g607"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.29233" + y="298.35373" + style="fill:none;stroke:#696969" + id="use607" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g608"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.17431" + y="300.34586" + style="fill:none;stroke:#696969" + id="use608" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g609"><use + xlink:href="#C0_0_44cb9d1369-0" + x="158.25627" + y="245.93468" + style="fill:none;stroke:#696969" + id="use609" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g610"><use + xlink:href="#C0_0_44cb9d1369-0" + x="201.55707" + y="205.0997" + style="fill:none;stroke:#696969" + id="use610" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g611"><use + xlink:href="#C0_0_44cb9d1369-0" + x="84.291718" + y="335.18393" + style="fill:none;stroke:#696969" + id="use611" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g612"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.12234" + y="128.42441" + style="fill:none;stroke:#696969" + id="use612" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g613"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.86472" + y="289.59979" + style="fill:none;stroke:#696969" + id="use613" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g614"><use + xlink:href="#C0_0_44cb9d1369-0" + x="102.00769" + y="311.70511" + style="fill:none;stroke:#696969" + id="use614" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g615"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.64418" + y="232.46808" + style="fill:none;stroke:#696969" + id="use615" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g616"><use + xlink:href="#C0_0_44cb9d1369-0" + x="183.32625" + y="218.11717" + style="fill:none;stroke:#696969" + id="use616" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g617"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.20906" + y="246.97765" + style="fill:none;stroke:#696969" + id="use617" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g618"><use + xlink:href="#C0_0_44cb9d1369-0" + x="161.18015" + y="217.4563" + style="fill:none;stroke:#696969" + id="use618" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g619"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.87363" + y="269.96271" + style="fill:none;stroke:#696969" + id="use619" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g620"><use + xlink:href="#C0_0_44cb9d1369-0" + x="146.10406" + y="250.09987" + style="fill:none;stroke:#696969" + id="use620" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g621"><use + xlink:href="#C0_0_44cb9d1369-0" + x="169.22748" + y="229.98817" + style="fill:none;stroke:#696969" + id="use621" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g622"><use + xlink:href="#C0_0_44cb9d1369-0" + x="209.03403" + y="173.55299" + style="fill:none;stroke:#696969" + id="use622" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g623"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.99162" + y="263.99863" + style="fill:none;stroke:#696969" + id="use623" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g624"><use + xlink:href="#C0_0_44cb9d1369-0" + x="153.53065" + y="279.84991" + style="fill:none;stroke:#696969" + id="use624" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g625"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.89417" + y="312.78943" + style="fill:none;stroke:#696969" + id="use625" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g626"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.29581" + y="232.41127" + style="fill:none;stroke:#696969" + id="use626" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g627"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.58575" + y="261.19662" + style="fill:none;stroke:#696969" + id="use627" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g628"><use + xlink:href="#C0_0_44cb9d1369-0" + x="109.92971" + y="329.85489" + style="fill:none;stroke:#696969" + id="use628" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g629"><use + xlink:href="#C0_0_44cb9d1369-0" + x="157.76118" + y="308.62711" + style="fill:none;stroke:#696969" + id="use629" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g630"><use + xlink:href="#C0_0_44cb9d1369-0" + x="280.90735" + y="245.77332" + style="fill:none;stroke:#696969" + id="use630" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g631"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.60637" + y="247.3976" + style="fill:none;stroke:#696969" + id="use631" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g632"><use + xlink:href="#C0_0_44cb9d1369-0" + x="179.6824" + y="280.2959" + style="fill:none;stroke:#696969" + id="use632" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g633"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.00781" + y="219.67747" + style="fill:none;stroke:#696969" + id="use633" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g634"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.71851" + y="255.36629" + style="fill:none;stroke:#696969" + id="use634" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g635"><use + xlink:href="#C0_0_44cb9d1369-0" + x="146.47456" + y="245.83534" + style="fill:none;stroke:#696969" + id="use635" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g636"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.30528" + y="334.87347" + style="fill:none;stroke:#696969" + id="use636" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g637"><use + xlink:href="#C0_0_44cb9d1369-0" + x="170.50497" + y="103.56649" + style="fill:none;stroke:#696969" + id="use637" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g638"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.53493" + y="313.73538" + style="fill:none;stroke:#696969" + id="use638" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g639"><use + xlink:href="#C0_0_44cb9d1369-0" + x="182.24275" + y="219.35672" + style="fill:none;stroke:#696969" + id="use639" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g640"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.70802" + y="285.38528" + style="fill:none;stroke:#696969" + id="use640" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g641"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.35695" + y="257.16882" + style="fill:none;stroke:#696969" + id="use641" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g642"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.31183" + y="289.72446" + style="fill:none;stroke:#696969" + id="use642" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g643"><use + xlink:href="#C0_0_44cb9d1369-0" + x="156.11127" + y="218.19528" + style="fill:none;stroke:#696969" + id="use643" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g644"><use + xlink:href="#C0_0_44cb9d1369-0" + x="186.47749" + y="246.8006" + style="fill:none;stroke:#696969" + id="use644" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g645"><use + xlink:href="#C0_0_44cb9d1369-0" + x="105.19341" + y="242.27869" + style="fill:none;stroke:#696969" + id="use645" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g646"><use + xlink:href="#C0_0_44cb9d1369-0" + x="152.79463" + y="272.45322" + style="fill:none;stroke:#696969" + id="use646" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g647"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.28332" + y="320.82919" + style="fill:none;stroke:#696969" + id="use647" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g648"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.87663" + y="244.97821" + style="fill:none;stroke:#696969" + id="use648" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g649"><use + xlink:href="#C0_0_44cb9d1369-0" + x="107.34908" + y="314.71967" + style="fill:none;stroke:#696969" + id="use649" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g650"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.79478" + y="287.54007" + style="fill:none;stroke:#696969" + id="use650" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g651"><use + xlink:href="#C0_0_44cb9d1369-0" + x="118.55736" + y="28.069815" + style="fill:none;stroke:#696969" + id="use651" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g652"><use + xlink:href="#C0_0_44cb9d1369-0" + x="163.77487" + y="252.95784" + style="fill:none;stroke:#696969" + id="use652" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g653"><use + xlink:href="#C0_0_44cb9d1369-0" + x="96.986046" + y="333.0437" + style="fill:none;stroke:#696969" + id="use653" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g654"><use + xlink:href="#C0_0_44cb9d1369-0" + x="179.87149" + y="181.10152" + style="fill:none;stroke:#696969" + id="use654" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g655"><use + xlink:href="#C0_0_44cb9d1369-0" + x="152.5569" + y="218.18974" + style="fill:none;stroke:#696969" + id="use655" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g656"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.78986" + y="286.28824" + style="fill:none;stroke:#696969" + id="use656" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g657"><use + xlink:href="#C0_0_44cb9d1369-0" + x="111.58736" + y="334.22318" + style="fill:none;stroke:#696969" + id="use657" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g658"><use + xlink:href="#C0_0_44cb9d1369-0" + x="108.68372" + y="317.33429" + style="fill:none;stroke:#696969" + id="use658" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g659"><use + xlink:href="#C0_0_44cb9d1369-0" + x="170.25418" + y="263.81042" + style="fill:none;stroke:#696969" + id="use659" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g660"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.34811" + y="280.49213" + style="fill:none;stroke:#696969" + id="use660" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g661"><use + xlink:href="#C0_0_44cb9d1369-0" + x="165.22055" + y="205.05971" + style="fill:none;stroke:#696969" + id="use661" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g662"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.89631" + y="296.39484" + style="fill:none;stroke:#696969" + id="use662" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g663"><use + xlink:href="#C0_0_44cb9d1369-0" + x="166.32915" + y="206.71938" + style="fill:none;stroke:#696969" + id="use663" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g664"><use + xlink:href="#C0_0_44cb9d1369-0" + x="106.28671" + y="305.22958" + style="fill:none;stroke:#696969" + id="use664" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g665"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.20815" + y="274.74792" + style="fill:none;stroke:#696969" + id="use665" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g666"><use + xlink:href="#C0_0_44cb9d1369-0" + x="165.53122" + y="213.81036" + style="fill:none;stroke:#696969" + id="use666" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g667"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.32539" + y="308.67075" + style="fill:none;stroke:#696969" + id="use667" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g668"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.84586" + y="321.33859" + style="fill:none;stroke:#696969" + id="use668" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g669"><use + xlink:href="#C0_0_44cb9d1369-0" + x="159.42436" + y="233.67307" + style="fill:none;stroke:#696969" + id="use669" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g670"><use + xlink:href="#C0_0_44cb9d1369-0" + x="104.24377" + y="235.25636" + style="fill:none;stroke:#696969" + id="use670" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g671"><use + xlink:href="#C0_0_44cb9d1369-0" + x="210.02205" + y="217.94942" + style="fill:none;stroke:#696969" + id="use671" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g672"><use + xlink:href="#C0_0_44cb9d1369-0" + x="181.40723" + y="280.96533" + style="fill:none;stroke:#696969" + id="use672" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g673"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.81802" + y="272.23599" + style="fill:none;stroke:#696969" + id="use673" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g674"><use + xlink:href="#C0_0_44cb9d1369-0" + x="146.16298" + y="301.63641" + style="fill:none;stroke:#696969" + id="use674" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g675"><use + xlink:href="#C0_0_44cb9d1369-0" + x="146.26378" + y="296.09616" + style="fill:none;stroke:#696969" + id="use675" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g676"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.41385" + y="239.20621" + style="fill:none;stroke:#696969" + id="use676" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g677"><use + xlink:href="#C0_0_44cb9d1369-0" + x="153.7011" + y="270.07425" + style="fill:none;stroke:#696969" + id="use677" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g678"><use + xlink:href="#C0_0_44cb9d1369-0" + x="162.65054" + y="237.63493" + style="fill:none;stroke:#696969" + id="use678" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g679"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.1652" + y="299.91898" + style="fill:none;stroke:#696969" + id="use679" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g680"><use + xlink:href="#C0_0_44cb9d1369-0" + x="146.1776" + y="289.53824" + style="fill:none;stroke:#696969" + id="use680" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g681"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.69562" + y="251.03792" + style="fill:none;stroke:#696969" + id="use681" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g682"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.58823" + y="315.95966" + style="fill:none;stroke:#696969" + id="use682" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g683"><use + xlink:href="#C0_0_44cb9d1369-0" + x="164.45197" + y="237.39592" + style="fill:none;stroke:#696969" + id="use683" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g684"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.686" + y="294.21072" + style="fill:none;stroke:#696969" + id="use684" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g685"><use + xlink:href="#C0_0_44cb9d1369-0" + x="177.32089" + y="160.72673" + style="fill:none;stroke:#696969" + id="use685" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g686"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.47141" + y="347.15662" + style="fill:none;stroke:#696969" + id="use686" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g687"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.17865" + y="306.61319" + style="fill:none;stroke:#696969" + id="use687" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g688" /><g + clip-path="url(#pa8ac0eece6-2)" + id="g689"><use + xlink:href="#C0_0_44cb9d1369-0" + x="167.44957" + y="210.87109" + style="fill:none;stroke:#696969" + id="use689" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g690"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.84723" + y="257.46582" + style="fill:none;stroke:#696969" + id="use690" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g691"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.42011" + y="311.2149" + style="fill:none;stroke:#696969" + id="use691" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g692"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.9325" + y="255.74438" + style="fill:none;stroke:#696969" + id="use692" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g693"><use + xlink:href="#C0_0_44cb9d1369-0" + x="153.85265" + y="281.96606" + style="fill:none;stroke:#696969" + id="use693" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g694"><use + xlink:href="#C0_0_44cb9d1369-0" + x="193.63956" + y="155.15881" + style="fill:none;stroke:#696969" + id="use694" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g695"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.93819" + y="274.36722" + style="fill:none;stroke:#696969" + id="use695" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g696"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.80023" + y="281.51767" + style="fill:none;stroke:#696969" + id="use696" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g697"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.77161" + y="297.19608" + style="fill:none;stroke:#696969" + id="use697" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g698"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.43224" + y="264.66138" + style="fill:none;stroke:#696969" + id="use698" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g699"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.82263" + y="265.13104" + style="fill:none;stroke:#696969" + id="use699" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g700"><use + xlink:href="#C0_0_44cb9d1369-0" + x="209.44545" + y="174.19809" + style="fill:none;stroke:#696969" + id="use700" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g701"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.19895" + y="230.79219" + style="fill:none;stroke:#696969" + id="use701" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g702"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.92355" + y="311.0412" + style="fill:none;stroke:#696969" + id="use702" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g703"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.24442" + y="260.37656" + style="fill:none;stroke:#696969" + id="use703" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g704"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.57677" + y="259.5058" + style="fill:none;stroke:#696969" + id="use704" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g705"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.75816" + y="262.98651" + style="fill:none;stroke:#696969" + id="use705" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g706"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.62392" + y="300.71948" + style="fill:none;stroke:#696969" + id="use706" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g707"><use + xlink:href="#C0_0_44cb9d1369-0" + x="99.726585" + y="288.64117" + style="fill:none;stroke:#696969" + id="use707" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g708"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.84441" + y="266.66312" + style="fill:none;stroke:#696969" + id="use708" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g709"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.67447" + y="264.05652" + style="fill:none;stroke:#696969" + id="use709" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g710"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.43326" + y="256.93851" + style="fill:none;stroke:#696969" + id="use710" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g711"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.16728" + y="279.08731" + style="fill:none;stroke:#696969" + id="use711" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g712"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.29765" + y="293.81705" + style="fill:none;stroke:#696969" + id="use712" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g713"><use + xlink:href="#C0_0_44cb9d1369-0" + x="118.74977" + y="266.60956" + style="fill:none;stroke:#696969" + id="use713" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g714"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.00058" + y="187.55244" + style="fill:none;stroke:#696969" + id="use714" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g715"><use + xlink:href="#C0_0_44cb9d1369-0" + x="146.42178" + y="245.92955" + style="fill:none;stroke:#696969" + id="use715" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g716"><use + xlink:href="#C0_0_44cb9d1369-0" + x="156.73428" + y="265.58441" + style="fill:none;stroke:#696969" + id="use716" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g717"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.20781" + y="258.42926" + style="fill:none;stroke:#696969" + id="use717" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g718"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.23645" + y="194.31584" + style="fill:none;stroke:#696969" + id="use718" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g719"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.29839" + y="289.41873" + style="fill:none;stroke:#696969" + id="use719" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g720"><use + xlink:href="#C0_0_44cb9d1369-0" + x="164.41132" + y="231.26259" + style="fill:none;stroke:#696969" + id="use720" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g721"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.696" + y="259.39151" + style="fill:none;stroke:#696969" + id="use721" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g722"><use + xlink:href="#C0_0_44cb9d1369-0" + x="113.08176" + y="257.87671" + style="fill:none;stroke:#696969" + id="use722" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g723"><use + xlink:href="#C0_0_44cb9d1369-0" + x="163.48833" + y="158.99651" + style="fill:none;stroke:#696969" + id="use723" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g724"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.6075" + y="245.62109" + style="fill:none;stroke:#696969" + id="use724" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g725"><use + xlink:href="#C0_0_44cb9d1369-0" + x="114.24694" + y="300.2562" + style="fill:none;stroke:#696969" + id="use725" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g726"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.41135" + y="259.12375" + style="fill:none;stroke:#696969" + id="use726" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g727"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.80399" + y="295.20651" + style="fill:none;stroke:#696969" + id="use727" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g728"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.61607" + y="267.10822" + style="fill:none;stroke:#696969" + id="use728" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g729"><use + xlink:href="#C0_0_44cb9d1369-0" + x="179.4601" + y="204.58777" + style="fill:none;stroke:#696969" + id="use729" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g730"><use + xlink:href="#C0_0_44cb9d1369-0" + x="170.3383" + y="204.83813" + style="fill:none;stroke:#696969" + id="use730" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g731"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.87125" + y="310.97379" + style="fill:none;stroke:#696969" + id="use731" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g732"><use + xlink:href="#C0_0_44cb9d1369-0" + x="167.51569" + y="252.30797" + style="fill:none;stroke:#696969" + id="use732" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g733"><use + xlink:href="#C0_0_44cb9d1369-0" + x="113.945" + y="322.01361" + style="fill:none;stroke:#696969" + id="use733" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g734"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.28469" + y="309.92224" + style="fill:none;stroke:#696969" + id="use734" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g735"><use + xlink:href="#C0_0_44cb9d1369-0" + x="210.41388" + y="118.20552" + style="fill:none;stroke:#696969" + id="use735" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g736"><use + xlink:href="#C0_0_44cb9d1369-0" + x="106.40804" + y="324.07932" + style="fill:none;stroke:#696969" + id="use736" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g737"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.45278" + y="289.45697" + style="fill:none;stroke:#696969" + id="use737" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g738"><use + xlink:href="#C0_0_44cb9d1369-0" + x="137.64288" + y="318.62921" + style="fill:none;stroke:#696969" + id="use738" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g739"><use + xlink:href="#C0_0_44cb9d1369-0" + x="213.45569" + y="176.718" + style="fill:none;stroke:#696969" + id="use739" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g740"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.85196" + y="299.16589" + style="fill:none;stroke:#696969" + id="use740" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g741"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.19441" + y="281.7681" + style="fill:none;stroke:#696969" + id="use741" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g742"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.96005" + y="233.19754" + style="fill:none;stroke:#696969" + id="use742" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g743"><use + xlink:href="#C0_0_44cb9d1369-0" + x="175.82072" + y="191.82086" + style="fill:none;stroke:#696969" + id="use743" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g744"><use + xlink:href="#C0_0_44cb9d1369-0" + x="113.67754" + y="302.76889" + style="fill:none;stroke:#696969" + id="use744" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g745"><use + xlink:href="#C0_0_44cb9d1369-0" + x="165.45332" + y="123.76342" + style="fill:none;stroke:#696969" + id="use745" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g746"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.74236" + y="224.35686" + style="fill:none;stroke:#696969" + id="use746" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g747"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.86504" + y="75.723267" + style="fill:none;stroke:#696969" + id="use747" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g748"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.39728" + y="284.54147" + style="fill:none;stroke:#696969" + id="use748" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g749"><use + xlink:href="#C0_0_44cb9d1369-0" + x="162.51997" + y="184.97649" + style="fill:none;stroke:#696969" + id="use749" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g750"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.37375" + y="284.55783" + style="fill:none;stroke:#696969" + id="use750" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g751"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.77768" + y="271.87207" + style="fill:none;stroke:#696969" + id="use751" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g752"><use + xlink:href="#C0_0_44cb9d1369-0" + x="152.01549" + y="197.19357" + style="fill:none;stroke:#696969" + id="use752" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g753"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.33664" + y="309.07773" + style="fill:none;stroke:#696969" + id="use753" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g754"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.52556" + y="268.56354" + style="fill:none;stroke:#696969" + id="use754" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g755"><use + xlink:href="#C0_0_44cb9d1369-0" + x="170.1237" + y="246.17816" + style="fill:none;stroke:#696969" + id="use755" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g756"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.44725" + y="243.7943" + style="fill:none;stroke:#696969" + id="use756" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g757"><use + xlink:href="#C0_0_44cb9d1369-0" + x="177.81187" + y="207.61877" + style="fill:none;stroke:#696969" + id="use757" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g758"><use + xlink:href="#C0_0_44cb9d1369-0" + x="165.34674" + y="243.67529" + style="fill:none;stroke:#696969" + id="use758" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g759"><use + xlink:href="#C0_0_44cb9d1369-0" + x="141.88835" + y="155.69365" + style="fill:none;stroke:#696969" + id="use759" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g760"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.41728" + y="205.29514" + style="fill:none;stroke:#696969" + id="use760" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g761"><use + xlink:href="#C0_0_44cb9d1369-0" + x="162.14726" + y="217.09958" + style="fill:none;stroke:#696969" + id="use761" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g762"><use + xlink:href="#C0_0_44cb9d1369-0" + x="168.31015" + y="218.24928" + style="fill:none;stroke:#696969" + id="use762" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g763"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.79858" + y="260.276" + style="fill:none;stroke:#696969" + id="use763" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g764"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.90559" + y="267.8432" + style="fill:none;stroke:#696969" + id="use764" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g765"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.96477" + y="274.5672" + style="fill:none;stroke:#696969" + id="use765" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g766"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.1517" + y="254.26192" + style="fill:none;stroke:#696969" + id="use766" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g767"><use + xlink:href="#C0_0_44cb9d1369-0" + x="176.31396" + y="256.47464" + style="fill:none;stroke:#696969" + id="use767" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g768"><use + xlink:href="#C0_0_44cb9d1369-0" + x="118.14873" + y="299.74585" + style="fill:none;stroke:#696969" + id="use768" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g769"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.58054" + y="295.8342" + style="fill:none;stroke:#696969" + id="use769" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g770"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.12384" + y="227.80493" + style="fill:none;stroke:#696969" + id="use770" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g771"><use + xlink:href="#C0_0_44cb9d1369-0" + x="165.7646" + y="164.75993" + style="fill:none;stroke:#696969" + id="use771" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g772"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.125" + y="258.80856" + style="fill:none;stroke:#696969" + id="use772" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g773"><use + xlink:href="#C0_0_44cb9d1369-0" + x="164.60742" + y="245.10425" + style="fill:none;stroke:#696969" + id="use773" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g774"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.99156" + y="270.47357" + style="fill:none;stroke:#696969" + id="use774" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g775"><use + xlink:href="#C0_0_44cb9d1369-0" + x="163.23735" + y="238.40456" + style="fill:none;stroke:#696969" + id="use775" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g776"><use + xlink:href="#C0_0_44cb9d1369-0" + x="204.50233" + y="196.02104" + style="fill:none;stroke:#696969" + id="use776" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g777"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.86197" + y="233.06973" + style="fill:none;stroke:#696969" + id="use777" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g778"><use + xlink:href="#C0_0_44cb9d1369-0" + x="187.78087" + y="222.31593" + style="fill:none;stroke:#696969" + id="use778" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g779"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.38145" + y="312.9559" + style="fill:none;stroke:#696969" + id="use779" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g780"><use + xlink:href="#C0_0_44cb9d1369-0" + x="159.82559" + y="280.92776" + style="fill:none;stroke:#696969" + id="use780" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g781"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.12845" + y="267.37555" + style="fill:none;stroke:#696969" + id="use781" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g782"><use + xlink:href="#C0_0_44cb9d1369-0" + x="164.09129" + y="194.33067" + style="fill:none;stroke:#696969" + id="use782" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g783"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.82104" + y="294.37311" + style="fill:none;stroke:#696969" + id="use783" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g784"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.95033" + y="278.17307" + style="fill:none;stroke:#696969" + id="use784" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g785"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.54912" + y="277.76834" + style="fill:none;stroke:#696969" + id="use785" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g786"><use + xlink:href="#C0_0_44cb9d1369-0" + x="181.16354" + y="231.80545" + style="fill:none;stroke:#696969" + id="use786" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g787"><use + xlink:href="#C0_0_44cb9d1369-0" + x="167.58507" + y="206.23259" + style="fill:none;stroke:#696969" + id="use787" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g788"><use + xlink:href="#C0_0_44cb9d1369-0" + x="161.54872" + y="198.02194" + style="fill:none;stroke:#696969" + id="use788" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g789"><use + xlink:href="#C0_0_44cb9d1369-0" + x="111.34861" + y="273.07181" + style="fill:none;stroke:#696969" + id="use789" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g790"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.75084" + y="326.41321" + style="fill:none;stroke:#696969" + id="use790" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g791"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.27365" + y="188.09505" + style="fill:none;stroke:#696969" + id="use791" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g792"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.46452" + y="305.26279" + style="fill:none;stroke:#696969" + id="use792" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g793"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.21211" + y="272.04529" + style="fill:none;stroke:#696969" + id="use793" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g794"><use + xlink:href="#C0_0_44cb9d1369-0" + x="202.13449" + y="189.2265" + style="fill:none;stroke:#696969" + id="use794" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g795"><use + xlink:href="#C0_0_44cb9d1369-0" + x="111.29144" + y="308.47882" + style="fill:none;stroke:#696969" + id="use795" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g796"><use + xlink:href="#C0_0_44cb9d1369-0" + x="103.16231" + y="298.85892" + style="fill:none;stroke:#696969" + id="use796" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g797"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.07333" + y="261.2598" + style="fill:none;stroke:#696969" + id="use797" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g798"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.08369" + y="335.94833" + style="fill:none;stroke:#696969" + id="use798" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g799"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.76013" + y="271.91125" + style="fill:none;stroke:#696969" + id="use799" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g800"><use + xlink:href="#C0_0_44cb9d1369-0" + x="135.3876" + y="236.70364" + style="fill:none;stroke:#696969" + id="use800" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g801"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.19785" + y="300.95551" + style="fill:none;stroke:#696969" + id="use801" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g802"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.28319" + y="148.57111" + style="fill:none;stroke:#696969" + id="use802" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g803"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.75221" + y="296.41025" + style="fill:none;stroke:#696969" + id="use803" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g804"><use + xlink:href="#C0_0_44cb9d1369-0" + x="177.02629" + y="237.68094" + style="fill:none;stroke:#696969" + id="use804" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g805"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.4383" + y="270.45206" + style="fill:none;stroke:#696969" + id="use805" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g806"><use + xlink:href="#C0_0_44cb9d1369-0" + x="157.77438" + y="261.05765" + style="fill:none;stroke:#696969" + id="use806" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g807"><use + xlink:href="#C0_0_44cb9d1369-0" + x="203.65002" + y="222.33199" + style="fill:none;stroke:#696969" + id="use807" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g808"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.72113" + y="290.04977" + style="fill:none;stroke:#696969" + id="use808" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g809"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.33702" + y="258.32892" + style="fill:none;stroke:#696969" + id="use809" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g810"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.80971" + y="258.3569" + style="fill:none;stroke:#696969" + id="use810" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g811"><use + xlink:href="#C0_0_44cb9d1369-0" + x="154.07475" + y="232.92911" + style="fill:none;stroke:#696969" + id="use811" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g812"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.93353" + y="225.74312" + style="fill:none;stroke:#696969" + id="use812" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g813"><use + xlink:href="#C0_0_44cb9d1369-0" + x="189.53595" + y="219.98019" + style="fill:none;stroke:#696969" + id="use813" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g814"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.86891" + y="246.04179" + style="fill:none;stroke:#696969" + id="use814" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g815"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.631" + y="255.00166" + style="fill:none;stroke:#696969" + id="use815" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g816"><use + xlink:href="#C0_0_44cb9d1369-0" + x="109.96577" + y="294.69553" + style="fill:none;stroke:#696969" + id="use816" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g817"><use + xlink:href="#C0_0_44cb9d1369-0" + x="144.37057" + y="226.94562" + style="fill:none;stroke:#696969" + id="use817" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g818"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.14877" + y="286.0997" + style="fill:none;stroke:#696969" + id="use818" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g819"><use + xlink:href="#C0_0_44cb9d1369-0" + x="197.20526" + y="199.4639" + style="fill:none;stroke:#696969" + id="use819" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g820"><use + xlink:href="#C0_0_44cb9d1369-0" + x="217.72229" + y="191.33936" + style="fill:none;stroke:#696969" + id="use820" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g821"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.76015" + y="304.57721" + style="fill:none;stroke:#696969" + id="use821" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g822"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.18088" + y="305.22583" + style="fill:none;stroke:#696969" + id="use822" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g823"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.59254" + y="259.71149" + style="fill:none;stroke:#696969" + id="use823" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g824"><use + xlink:href="#C0_0_44cb9d1369-0" + x="146.78284" + y="241.79225" + style="fill:none;stroke:#696969" + id="use824" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g825"><use + xlink:href="#C0_0_44cb9d1369-0" + x="153.08075" + y="288.98294" + style="fill:none;stroke:#696969" + id="use825" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g826"><use + xlink:href="#C0_0_44cb9d1369-0" + x="110.80281" + y="314.80722" + style="fill:none;stroke:#696969" + id="use826" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g827"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.21524" + y="279.07025" + style="fill:none;stroke:#696969" + id="use827" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g828"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.00121" + y="290.77374" + style="fill:none;stroke:#696969" + id="use828" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g829"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.68953" + y="255.33754" + style="fill:none;stroke:#696969" + id="use829" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g830"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.71992" + y="258.73138" + style="fill:none;stroke:#696969" + id="use830" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g831"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.245" + y="282.10272" + style="fill:none;stroke:#696969" + id="use831" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g832"><use + xlink:href="#C0_0_44cb9d1369-0" + x="182.82846" + y="204.92789" + style="fill:none;stroke:#696969" + id="use832" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g833"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.28459" + y="283.35397" + style="fill:none;stroke:#696969" + id="use833" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g834"><use + xlink:href="#C0_0_44cb9d1369-0" + x="154.20486" + y="203.70944" + style="fill:none;stroke:#696969" + id="use834" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g835"><use + xlink:href="#C0_0_44cb9d1369-0" + x="173.49454" + y="218.90146" + style="fill:none;stroke:#696969" + id="use835" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g836"><use + xlink:href="#C0_0_44cb9d1369-0" + x="162.84602" + y="200.1066" + style="fill:none;stroke:#696969" + id="use836" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g837"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.95577" + y="214.75168" + style="fill:none;stroke:#696969" + id="use837" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g838"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.22565" + y="310.37952" + style="fill:none;stroke:#696969" + id="use838" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g839"><use + xlink:href="#C0_0_44cb9d1369-0" + x="156.53787" + y="248.94301" + style="fill:none;stroke:#696969" + id="use839" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g840"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.96092" + y="277.08792" + style="fill:none;stroke:#696969" + id="use840" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g841"><use + xlink:href="#C0_0_44cb9d1369-0" + x="185.8343" + y="216.72583" + style="fill:none;stroke:#696969" + id="use841" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g842"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.72379" + y="235.34167" + style="fill:none;stroke:#696969" + id="use842" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g843"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.40227" + y="233.12308" + style="fill:none;stroke:#696969" + id="use843" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g844"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.00664" + y="282.5549" + style="fill:none;stroke:#696969" + id="use844" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g845"><use + xlink:href="#C0_0_44cb9d1369-0" + x="161.46217" + y="272.72421" + style="fill:none;stroke:#696969" + id="use845" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g846"><use + xlink:href="#C0_0_44cb9d1369-0" + x="182.94835" + y="285.51752" + style="fill:none;stroke:#696969" + id="use846" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g847"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.35228" + y="333.91583" + style="fill:none;stroke:#696969" + id="use847" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g848"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.65102" + y="304.55963" + style="fill:none;stroke:#696969" + id="use848" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g849"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.04053" + y="276.66495" + style="fill:none;stroke:#696969" + id="use849" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g850"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.37146" + y="285.12897" + style="fill:none;stroke:#696969" + id="use850" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g851"><use + xlink:href="#C0_0_44cb9d1369-0" + x="171.08533" + y="273.08868" + style="fill:none;stroke:#696969" + id="use851" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g852"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.92512" + y="217.10065" + style="fill:none;stroke:#696969" + id="use852" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g853"><use + xlink:href="#C0_0_44cb9d1369-0" + x="163.34499" + y="253.29173" + style="fill:none;stroke:#696969" + id="use853" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g854"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.09264" + y="279.65839" + style="fill:none;stroke:#696969" + id="use854" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g855"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.60101" + y="294.68384" + style="fill:none;stroke:#696969" + id="use855" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g856"><use + xlink:href="#C0_0_44cb9d1369-0" + x="121.29449" + y="240.12994" + style="fill:none;stroke:#696969" + id="use856" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g857"><use + xlink:href="#C0_0_44cb9d1369-0" + x="153.05774" + y="275.0448" + style="fill:none;stroke:#696969" + id="use857" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g858"><use + xlink:href="#C0_0_44cb9d1369-0" + x="197.56725" + y="259.84921" + style="fill:none;stroke:#696969" + id="use858" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g859"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.19281" + y="315.90012" + style="fill:none;stroke:#696969" + id="use859" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g860"><use + xlink:href="#C0_0_44cb9d1369-0" + x="234.55046" + y="270.94107" + style="fill:none;stroke:#696969" + id="use860" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g861"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.17722" + y="273.72885" + style="fill:none;stroke:#696969" + id="use861" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g862"><use + xlink:href="#C0_0_44cb9d1369-0" + x="108.89217" + y="306.44504" + style="fill:none;stroke:#696969" + id="use862" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g863"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.72629" + y="279.6394" + style="fill:none;stroke:#696969" + id="use863" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g864"><use + xlink:href="#C0_0_44cb9d1369-0" + x="158.71672" + y="130.18417" + style="fill:none;stroke:#696969" + id="use864" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g865"><use + xlink:href="#C0_0_44cb9d1369-0" + x="177.70662" + y="39.132149" + style="fill:none;stroke:#696969" + id="use865" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g866"><use + xlink:href="#C0_0_44cb9d1369-0" + x="225.34174" + y="204.36957" + style="fill:none;stroke:#696969" + id="use866" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g867"><use + xlink:href="#C0_0_44cb9d1369-0" + x="165.31206" + y="215.39928" + style="fill:none;stroke:#696969" + id="use867" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g868"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.71912" + y="260.20404" + style="fill:none;stroke:#696969" + id="use868" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g869"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.60289" + y="296.71854" + style="fill:none;stroke:#696969" + id="use869" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g870"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.10365" + y="286.77545" + style="fill:none;stroke:#696969" + id="use870" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g871"><use + xlink:href="#C0_0_44cb9d1369-0" + x="121.11391" + y="281.27643" + style="fill:none;stroke:#696969" + id="use871" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g872"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.29395" + y="273.81705" + style="fill:none;stroke:#696969" + id="use872" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g873"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.73584" + y="290.06516" + style="fill:none;stroke:#696969" + id="use873" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g874"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.26021" + y="294.87329" + style="fill:none;stroke:#696969" + id="use874" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g875"><use + xlink:href="#C0_0_44cb9d1369-0" + x="160.1825" + y="254.78284" + style="fill:none;stroke:#696969" + id="use875" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g876"><use + xlink:href="#C0_0_44cb9d1369-0" + x="163.89558" + y="233.92389" + style="fill:none;stroke:#696969" + id="use876" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g877"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.3116" + y="218.82518" + style="fill:none;stroke:#696969" + id="use877" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g878"><use + xlink:href="#C0_0_44cb9d1369-0" + x="143.74854" + y="264.33792" + style="fill:none;stroke:#696969" + id="use878" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g879"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.00592" + y="299.74365" + style="fill:none;stroke:#696969" + id="use879" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g880"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.4657" + y="169.94113" + style="fill:none;stroke:#696969" + id="use880" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g881"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.74405" + y="228.67026" + style="fill:none;stroke:#696969" + id="use881" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g882"><use + xlink:href="#C0_0_44cb9d1369-0" + x="100.61104" + y="318.9603" + style="fill:none;stroke:#696969" + id="use882" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g883"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.07272" + y="252.16682" + style="fill:none;stroke:#696969" + id="use883" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g884"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.12221" + y="270.80511" + style="fill:none;stroke:#696969" + id="use884" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g885"><use + xlink:href="#C0_0_44cb9d1369-0" + x="115.32828" + y="254.71738" + style="fill:none;stroke:#696969" + id="use885" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g886"><use + xlink:href="#C0_0_44cb9d1369-0" + x="176.66125" + y="235.65494" + style="fill:none;stroke:#696969" + id="use886" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g887"><use + xlink:href="#C0_0_44cb9d1369-0" + x="154.69151" + y="306.71497" + style="fill:none;stroke:#696969" + id="use887" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g888"><use + xlink:href="#C0_0_44cb9d1369-0" + x="155.98616" + y="213.87367" + style="fill:none;stroke:#696969" + id="use888" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g889"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.23796" + y="286.80936" + style="fill:none;stroke:#696969" + id="use889" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g890"><use + xlink:href="#C0_0_44cb9d1369-0" + x="113.10305" + y="262.90659" + style="fill:none;stroke:#696969" + id="use890" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g891"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.4868" + y="301.52386" + style="fill:none;stroke:#696969" + id="use891" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g892"><use + xlink:href="#C0_0_44cb9d1369-0" + x="173.66118" + y="212.25041" + style="fill:none;stroke:#696969" + id="use892" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g893"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.60529" + y="271.94888" + style="fill:none;stroke:#696969" + id="use893" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g894"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.75359" + y="221.48502" + style="fill:none;stroke:#696969" + id="use894" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g895"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.48166" + y="306.92722" + style="fill:none;stroke:#696969" + id="use895" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g896"><use + xlink:href="#C0_0_44cb9d1369-0" + x="161.82384" + y="237.92683" + style="fill:none;stroke:#696969" + id="use896" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g897"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.68863" + y="282.91696" + style="fill:none;stroke:#696969" + id="use897" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g898"><use + xlink:href="#C0_0_44cb9d1369-0" + x="121.80836" + y="262.90604" + style="fill:none;stroke:#696969" + id="use898" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g899"><use + xlink:href="#C0_0_44cb9d1369-0" + x="175.37741" + y="106.18838" + style="fill:none;stroke:#696969" + id="use899" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g900"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.02489" + y="318.32745" + style="fill:none;stroke:#696969" + id="use900" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g901"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.60067" + y="226.75641" + style="fill:none;stroke:#696969" + id="use901" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g902"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.02249" + y="256.64612" + style="fill:none;stroke:#696969" + id="use902" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g903"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.69437" + y="281.97879" + style="fill:none;stroke:#696969" + id="use903" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g904"><use + xlink:href="#C0_0_44cb9d1369-0" + x="172.06743" + y="290.57956" + style="fill:none;stroke:#696969" + id="use904" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g905"><use + xlink:href="#C0_0_44cb9d1369-0" + x="121.49166" + y="285.87238" + style="fill:none;stroke:#696969" + id="use905" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g906"><use + xlink:href="#C0_0_44cb9d1369-0" + x="125.74301" + y="295.10458" + style="fill:none;stroke:#696969" + id="use906" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g907"><use + xlink:href="#C0_0_44cb9d1369-0" + x="144.88524" + y="295.12933" + style="fill:none;stroke:#696969" + id="use907" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g908"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.18825" + y="216.65904" + style="fill:none;stroke:#696969" + id="use908" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g909"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.96283" + y="239.18913" + style="fill:none;stroke:#696969" + id="use909" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g910"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.15205" + y="259.63312" + style="fill:none;stroke:#696969" + id="use910" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g911"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.27414" + y="270.20068" + style="fill:none;stroke:#696969" + id="use911" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g912"><use + xlink:href="#C0_0_44cb9d1369-0" + x="121.28313" + y="230.91826" + style="fill:none;stroke:#696969" + id="use912" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g913"><use + xlink:href="#C0_0_44cb9d1369-0" + x="188.73195" + y="265.47516" + style="fill:none;stroke:#696969" + id="use913" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g914"><use + xlink:href="#C0_0_44cb9d1369-0" + x="152.07097" + y="261.73257" + style="fill:none;stroke:#696969" + id="use914" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g915"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.85944" + y="239.42847" + style="fill:none;stroke:#696969" + id="use915" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g916"><use + xlink:href="#C0_0_44cb9d1369-0" + x="123.4253" + y="311.08536" + style="fill:none;stroke:#696969" + id="use916" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g917"><use + xlink:href="#C0_0_44cb9d1369-0" + x="174.86491" + y="251.27229" + style="fill:none;stroke:#696969" + id="use917" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g918"><use + xlink:href="#C0_0_44cb9d1369-0" + x="139.71515" + y="198.16333" + style="fill:none;stroke:#696969" + id="use918" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g919"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.02843" + y="231.15764" + style="fill:none;stroke:#696969" + id="use919" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g920"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.75374" + y="282.2973" + style="fill:none;stroke:#696969" + id="use920" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g921"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.38075" + y="307.40585" + style="fill:none;stroke:#696969" + id="use921" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g922"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.31889" + y="247.96233" + style="fill:none;stroke:#696969" + id="use922" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g923"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.51048" + y="279.70087" + style="fill:none;stroke:#696969" + id="use923" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g924"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.21967" + y="304.70746" + style="fill:none;stroke:#696969" + id="use924" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g925"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.37263" + y="260.55621" + style="fill:none;stroke:#696969" + id="use925" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g926"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.21887" + y="250.70369" + style="fill:none;stroke:#696969" + id="use926" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g927"><use + xlink:href="#C0_0_44cb9d1369-0" + x="174.93973" + y="289.02719" + style="fill:none;stroke:#696969" + id="use927" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g928"><use + xlink:href="#C0_0_44cb9d1369-0" + x="113.74844" + y="286.784" + style="fill:none;stroke:#696969" + id="use928" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g929"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.04949" + y="305.86658" + style="fill:none;stroke:#696969" + id="use929" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g930"><use + xlink:href="#C0_0_44cb9d1369-0" + x="149.41478" + y="247.8533" + style="fill:none;stroke:#696969" + id="use930" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g931"><use + xlink:href="#C0_0_44cb9d1369-0" + x="210.38434" + y="160.50276" + style="fill:none;stroke:#696969" + id="use931" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g932"><use + xlink:href="#C0_0_44cb9d1369-0" + x="142.32608" + y="169.67732" + style="fill:none;stroke:#696969" + id="use932" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g933"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.68974" + y="289.47913" + style="fill:none;stroke:#696969" + id="use933" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g934"><use + xlink:href="#C0_0_44cb9d1369-0" + x="172.15439" + y="227.16476" + style="fill:none;stroke:#696969" + id="use934" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g935"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.01459" + y="288.58426" + style="fill:none;stroke:#696969" + id="use935" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g936"><use + xlink:href="#C0_0_44cb9d1369-0" + x="132.12346" + y="281.40875" + style="fill:none;stroke:#696969" + id="use936" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g937"><use + xlink:href="#C0_0_44cb9d1369-0" + x="121.05219" + y="287.85565" + style="fill:none;stroke:#696969" + id="use937" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g938"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.18555" + y="258.97949" + style="fill:none;stroke:#696969" + id="use938" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g939"><use + xlink:href="#C0_0_44cb9d1369-0" + x="144.82381" + y="106.72539" + style="fill:none;stroke:#696969" + id="use939" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g940"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.27342" + y="275.3613" + style="fill:none;stroke:#696969" + id="use940" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g941"><use + xlink:href="#C0_0_44cb9d1369-0" + x="140.61456" + y="282.36432" + style="fill:none;stroke:#696969" + id="use941" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g942"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.40236" + y="290.64197" + style="fill:none;stroke:#696969" + id="use942" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g943"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.3757" + y="272.55844" + style="fill:none;stroke:#696969" + id="use943" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g944"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.40607" + y="241.88068" + style="fill:none;stroke:#696969" + id="use944" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g945"><use + xlink:href="#C0_0_44cb9d1369-0" + x="113.4413" + y="322.61255" + style="fill:none;stroke:#696969" + id="use945" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g946"><use + xlink:href="#C0_0_44cb9d1369-0" + x="153.67863" + y="173.0538" + style="fill:none;stroke:#696969" + id="use946" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g947"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.47966" + y="307.43713" + style="fill:none;stroke:#696969" + id="use947" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g948"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.11463" + y="303.88013" + style="fill:none;stroke:#696969" + id="use948" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g949"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.43065" + y="263.95041" + style="fill:none;stroke:#696969" + id="use949" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g950"><use + xlink:href="#C0_0_44cb9d1369-0" + x="131.21457" + y="305.96848" + style="fill:none;stroke:#696969" + id="use950" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g951"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.5371" + y="284.0033" + style="fill:none;stroke:#696969" + id="use951" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g952"><use + xlink:href="#C0_0_44cb9d1369-0" + x="173.90195" + y="218.77922" + style="fill:none;stroke:#696969" + id="use952" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g953"><use + xlink:href="#C0_0_44cb9d1369-0" + x="163.13997" + y="217.33879" + style="fill:none;stroke:#696969" + id="use953" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g954"><use + xlink:href="#C0_0_44cb9d1369-0" + x="155.0192" + y="286.55365" + style="fill:none;stroke:#696969" + id="use954" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g955"><use + xlink:href="#C0_0_44cb9d1369-0" + x="102.21873" + y="327.12357" + style="fill:none;stroke:#696969" + id="use955" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g956"><use + xlink:href="#C0_0_44cb9d1369-0" + x="192.73726" + y="285.41876" + style="fill:none;stroke:#696969" + id="use956" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g957"><use + xlink:href="#C0_0_44cb9d1369-0" + x="174.90495" + y="243.93762" + style="fill:none;stroke:#696969" + id="use957" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g958"><use + xlink:href="#C0_0_44cb9d1369-0" + x="157.16277" + y="238.53549" + style="fill:none;stroke:#696969" + id="use958" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g959"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.41349" + y="285.43478" + style="fill:none;stroke:#696969" + id="use959" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g960"><use + xlink:href="#C0_0_44cb9d1369-0" + x="130.98174" + y="294.18436" + style="fill:none;stroke:#696969" + id="use960" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g961"><use + xlink:href="#C0_0_44cb9d1369-0" + x="121.08524" + y="227.41757" + style="fill:none;stroke:#696969" + id="use961" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g962"><use + xlink:href="#C0_0_44cb9d1369-0" + x="122.61318" + y="271.74161" + style="fill:none;stroke:#696969" + id="use962" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g963"><use + xlink:href="#C0_0_44cb9d1369-0" + x="118.62039" + y="295.32172" + style="fill:none;stroke:#696969" + id="use963" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g964"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.22058" + y="249.78482" + style="fill:none;stroke:#696969" + id="use964" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g965"><use + xlink:href="#C0_0_44cb9d1369-0" + x="167.75439" + y="232.07196" + style="fill:none;stroke:#696969" + id="use965" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g966"><use + xlink:href="#C0_0_44cb9d1369-0" + x="127.79914" + y="290.96802" + style="fill:none;stroke:#696969" + id="use966" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g967"><use + xlink:href="#C0_0_44cb9d1369-0" + x="156.3739" + y="263.89627" + style="fill:none;stroke:#696969" + id="use967" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g968"><use + xlink:href="#C0_0_44cb9d1369-0" + x="167.1095" + y="261.42145" + style="fill:none;stroke:#696969" + id="use968" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g969"><use + xlink:href="#C0_0_44cb9d1369-0" + x="116.8946" + y="265.09348" + style="fill:none;stroke:#696969" + id="use969" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g970"><use + xlink:href="#C0_0_44cb9d1369-0" + x="112.85155" + y="302.45065" + style="fill:none;stroke:#696969" + id="use970" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g971"><use + xlink:href="#C0_0_44cb9d1369-0" + x="117.94379" + y="286.83109" + style="fill:none;stroke:#696969" + id="use971" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g972"><use + xlink:href="#C0_0_44cb9d1369-0" + x="170.17906" + y="223.2905" + style="fill:none;stroke:#696969" + id="use972" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g973"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.43861" + y="236.00618" + style="fill:none;stroke:#696969" + id="use973" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g974"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.17938" + y="269.33737" + style="fill:none;stroke:#696969" + id="use974" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g975"><use + xlink:href="#C0_0_44cb9d1369-0" + x="126.59519" + y="292.59927" + style="fill:none;stroke:#696969" + id="use975" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g976"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.55138" + y="280.47723" + style="fill:none;stroke:#696969" + id="use976" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g977"><use + xlink:href="#C0_0_44cb9d1369-0" + x="119.98583" + y="240.10973" + style="fill:none;stroke:#696969" + id="use977" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g978"><use + xlink:href="#C0_0_44cb9d1369-0" + x="133.38571" + y="277.34348" + style="fill:none;stroke:#696969" + id="use978" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g979"><use + xlink:href="#C0_0_44cb9d1369-0" + x="129.28511" + y="267.28683" + style="fill:none;stroke:#696969" + id="use979" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g980"><use + xlink:href="#C0_0_44cb9d1369-0" + x="190.37169" + y="193.81003" + style="fill:none;stroke:#696969" + id="use980" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g981"><use + xlink:href="#C0_0_44cb9d1369-0" + x="120.83714" + y="267.08179" + style="fill:none;stroke:#696969" + id="use981" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g982"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.40909" + y="274.73895" + style="fill:none;stroke:#696969" + id="use982" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g983"><use + xlink:href="#C0_0_44cb9d1369-0" + x="124.30643" + y="226.97054" + style="fill:none;stroke:#696969" + id="use983" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g984"><use + xlink:href="#C0_0_44cb9d1369-0" + x="147.04295" + y="258.96884" + style="fill:none;stroke:#696969" + id="use984" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g985"><use + xlink:href="#C0_0_44cb9d1369-0" + x="150.44273" + y="280.21011" + style="fill:none;stroke:#696969" + id="use985" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g986"><use + xlink:href="#C0_0_44cb9d1369-0" + x="145.97006" + y="245.87265" + style="fill:none;stroke:#696969" + id="use986" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g987"><use + xlink:href="#C0_0_44cb9d1369-0" + x="134.9673" + y="246.85487" + style="fill:none;stroke:#696969" + id="use987" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g988"><use + xlink:href="#C0_0_44cb9d1369-0" + x="187.97868" + y="206.31674" + style="fill:none;stroke:#696969" + id="use988" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g989"><use + xlink:href="#C0_0_44cb9d1369-0" + x="148.25392" + y="203.42902" + style="fill:none;stroke:#696969" + id="use989" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g990"><use + xlink:href="#C0_0_44cb9d1369-0" + x="165.75381" + y="264.93484" + style="fill:none;stroke:#696969" + id="use990" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g991"><use + xlink:href="#C0_0_44cb9d1369-0" + x="138.34563" + y="246.08934" + style="fill:none;stroke:#696969" + id="use991" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g992"><use + xlink:href="#C0_0_44cb9d1369-0" + x="151.57788" + y="216.92043" + style="fill:none;stroke:#696969" + id="use992" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g993"><use + xlink:href="#C0_0_44cb9d1369-0" + x="155.49742" + y="155.67563" + style="fill:none;stroke:#696969" + id="use993" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g994"><use + xlink:href="#C0_0_44cb9d1369-0" + x="169.80438" + y="197.15233" + style="fill:none;stroke:#696969" + id="use994" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g995"><use + xlink:href="#C0_0_44cb9d1369-0" + x="136.28917" + y="273.82303" + style="fill:none;stroke:#696969" + id="use995" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g996"><use + xlink:href="#C0_0_44cb9d1369-0" + x="181.89912" + y="211.32683" + style="fill:none;stroke:#696969" + id="use996" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g997"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.8595" + y="295.70245" + style="fill:none;stroke:#696969" + id="use997" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g998"><use + xlink:href="#C0_0_44cb9d1369-0" + x="168.23679" + y="249.94003" + style="fill:none;stroke:#696969" + id="use998" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g999"><use + xlink:href="#C0_0_44cb9d1369-0" + x="155.20871" + y="314.83517" + style="fill:none;stroke:#696969" + id="use999" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g1000"><use + xlink:href="#C0_0_44cb9d1369-0" + x="128.63702" + y="239.97623" + style="fill:none;stroke:#696969" + id="use1000" /></g><g + clip-path="url(#pa8ac0eece6-2)" + id="g1001"><use + xlink:href="#C0_0_44cb9d1369-0" + x="144.18327" + y="212.52409" + style="fill:none;stroke:#696969" + id="use1001" /></g></g><g + id="matplotlib.axis_1"><g + id="xtick_1"><g + id="line2d_1"><defs + id="defs1001"><path + id="path132" + d="M 0,0 V 3.5" + style="stroke:#000000;stroke-width:0.8" /></defs><g + id="g1002"><use + xlink:href="#m0ca75668e4-6" + x="55.080002" + y="384.48001" + style="stroke:#000000;stroke-width:0.8" + id="use1002" /></g></g></g><g + id="xtick_2"><g + id="line2d_2"><g + id="g1003"><use + xlink:href="#m0ca75668e4-6" + x="110.52" + y="384.48001" + style="stroke:#000000;stroke-width:0.8" + id="use1003" /></g></g></g><g + id="xtick_3"><g + id="line2d_3"><g + id="g1004"><use + xlink:href="#m0ca75668e4-6" + x="165.96001" + y="384.48001" + style="stroke:#000000;stroke-width:0.8" + id="use1004" /></g></g></g><g + id="xtick_4"><g + id="line2d_4"><g + id="g1005"><use + xlink:href="#m0ca75668e4-6" + x="221.39999" + y="384.48001" + style="stroke:#000000;stroke-width:0.8" + id="use1005" /></g></g></g><g + id="xtick_5"><g + id="line2d_5"><g + id="g1006"><use + xlink:href="#m0ca75668e4-6" + x="276.84" + y="384.48001" + style="stroke:#000000;stroke-width:0.8" + id="use1006" /></g></g></g><g + id="xtick_6"><g + id="line2d_6"><g + id="g1007"><use + xlink:href="#m0ca75668e4-6" + x="332.28" + y="384.48001" + style="stroke:#000000;stroke-width:0.8" + id="use1007" /></g></g></g><g + id="xtick_7"><g + id="line2d_7"><g + id="g1008"><use + xlink:href="#m0ca75668e4-6" + x="387.72" + y="384.48001" + style="stroke:#000000;stroke-width:0.8" + id="use1008" /></g></g></g><g + id="text_1"><!-- Random Variable $X_1$ --><g + transform="matrix(0.16,0,0,-0.16,148.04,406.9325)" + id="g1026"><defs + id="defs1008"><path + id="path133" + d="m 503,0 v 4581 h 2031 q 613,0 931,-124 319,-123 510,-436 191,-312 191,-690 0,-487 -316,-822 -316,-334 -975,-425 241,-115 366,-228 265,-243 503,-609 L 4541,0 h -763 l -606,953 q -266,413 -438,631 -171,219 -307,306 -136,88 -277,123 -103,21 -337,21 H 1109 V 0 Z m 606,2559 h 1304 q 415,0 649,86 235,86 357,275 122,189 122,411 0,325 -236,534 -236,210 -746,210 H 1109 Z" + transform="scale(0.015625)" /><path + id="path134" + d="M 2588,409 Q 2275,144 1986,34 1697,-75 1366,-75 819,-75 525,192 231,459 231,875 q 0,244 111,445 111,202 291,324 180,122 405,184 165,44 500,85 681,81 1003,193 3,116 3,147 0,344 -160,485 -215,190 -640,190 -397,0 -586,-139 -189,-139 -280,-492 l -550,75 q 75,353 247,570 172,217 497,334 325,118 753,118 425,0 690,-100 266,-100 391,-252 125,-151 175,-383 28,-143 28,-518 v -750 q 0,-785 36,-993 36,-207 143,-398 h -588 q -87,175 -112,409 z m -47,1257 q -307,-125 -919,-213 -347,-50 -491,-113 -143,-62 -222,-182 -78,-120 -78,-267 0,-225 170,-375 171,-150 499,-150 325,0 578,142 253,142 372,389 91,191 91,562 z" + transform="scale(0.015625)" /><path + id="path135" + d="m 422,0 v 3319 h 506 v -472 q 366,547 1056,547 300,0 552,-108 252,-108 377,-283 125,-175 175,-415 31,-157 31,-547 V 0 h -563 v 2019 q 0,344 -66,514 -65,170 -232,271 -167,102 -392,102 -360,0 -621,-228 Q 984,2450 984,1813 V 0 Z" + transform="scale(0.015625)" /><path + id="path136" + d="M 2575,0 V 419 Q 2259,-75 1647,-75 1250,-75 917,144 584,363 401,755 q -182,392 -182,901 0,497 165,902 166,405 497,620 332,216 741,216 300,0 534,-127 235,-126 382,-329 v 1643 h 559 V 0 Z M 797,1656 q 0,-637 268,-953 269,-315 635,-315 369,0 626,301 258,302 258,920 0,682 -263,1000 -262,319 -646,319 -375,0 -627,-306 -251,-306 -251,-966 z" + transform="scale(0.015625)" /><path + id="path137" + d="m 213,1659 q 0,922 512,1366 428,369 1044,369 684,0 1118,-449 435,-448 435,-1239 0,-640 -192,-1008 Q 2938,331 2570,128 2203,-75 1769,-75 1072,-75 642,372 213,819 213,1659 Z m 578,0 q 0,-637 278,-954 278,-317 700,-317 419,0 697,318 278,319 278,972 0,616 -280,933 -280,317 -695,317 -422,0 -700,-316 -278,-315 -278,-953 z" + transform="scale(0.015625)" /><path + id="path138" + d="m 422,0 v 3319 h 503 v -466 q 156,244 415,392 260,149 591,149 369,0 605,-153 236,-153 333,-428 394,581 1025,581 494,0 759,-274 266,-273 266,-842 V 0 h -560 v 2091 q 0,337 -55,485 -54,149 -198,239 -143,91 -337,91 -350,0 -582,-233 -231,-232 -231,-745 V 0 h -562 v 2156 q 0,375 -138,562 -137,188 -450,188 -237,0 -439,-125 -201,-125 -292,-366 -91,-240 -91,-693 V 0 Z" + transform="scale(0.015625)" /><path + id="path139" + transform="scale(0.015625)" + d="" /><path + id="path140" + d="M 1803,0 28,4581 H 684 L 1875,1253 q 144,-400 241,-750 106,375 247,750 l 1237,3328 h 619 L 2425,0 Z" + transform="scale(0.015625)" /><path + id="path141" + d="m 416,0 v 3319 h 506 v -503 q 194,353 358,465 164,113 361,113 284,0 578,-181 l -194,-522 q -206,122 -412,122 -185,0 -332,-111 -147,-111 -209,-308 -94,-300 -94,-656 V 0 Z" + transform="scale(0.015625)" /><path + id="path142" + d="m 425,3934 v 647 H 988 V 3934 Z M 425,0 V 3319 H 988 V 0 Z" + transform="scale(0.015625)" /><path + id="path143" + d="M 941,0 H 419 V 4581 H 981 V 2947 q 357,447 910,447 306,0 579,-124 274,-123 450,-347 177,-223 277,-539 100,-315 100,-675 0,-853 -422,-1319 -422,-465 -1012,-465 -588,0 -922,491 z m -7,1684 q 0,-596 163,-862 266,-434 719,-434 368,0 637,320 269,320 269,955 0,650 -258,959 -258,309 -623,309 -369,0 -638,-320 -269,-320 -269,-927 z" + transform="scale(0.015625)" /><path + id="path144" + d="M 409,0 V 4581 H 972 V 0 Z" + transform="scale(0.015625)" /><path + id="path145" + d="m 2694,1069 581,-72 Q 3138,488 2766,206 2394,-75 1816,-75 1088,-75 661,373 234,822 234,1631 q 0,838 431,1300 432,463 1119,463 666,0 1088,-453 422,-453 422,-1275 0,-50 -3,-150 H 816 q 31,-547 309,-838 278,-290 694,-290 309,0 528,162 219,163 347,519 z M 847,1978 h 1853 q -37,419 -212,628 -269,325 -697,325 -388,0 -652,-259 -264,-259 -292,-694 z" + transform="scale(0.015625)" /><path + id="path146" + d="m 878,4666 h 638 l 800,-1685 1447,1685 h 737 L 2578,2438 3738,0 H 3103 L 2163,1966 459,0 h -734 l 2181,2509 z" + transform="scale(0.015625)" /><path + id="path147" + d="M 794,531 H 1825 V 4091 L 703,3866 v 575 l 1116,225 h 631 V 531 H 3481 V 0 H 794 Z" + transform="scale(0.015625)" /></defs><use + xlink:href="#ArialMT-52-8" + transform="translate(0,0.09375)" + id="use1009" /><use + xlink:href="#ArialMT-61-38" + transform="translate(72.216797,0.09375)" + id="use1010" /><use + xlink:href="#ArialMT-6e-27" + transform="translate(127.83203,0.09375)" + id="use1011" /><use + xlink:href="#ArialMT-64-04" + transform="translate(183.44727,0.09375)" + id="use1012" /><use + xlink:href="#ArialMT-6f-68" + transform="translate(239.0625,0.09375)" + id="use1013" /><use + xlink:href="#ArialMT-6d-91" + transform="translate(294.67773,0.09375)" + id="use1014" /><use + xlink:href="#ArialMT-20-3" + transform="translate(377.97852,0.09375)" + id="use1015" /><use + xlink:href="#ArialMT-56-9" + transform="translate(405.76172,0.09375)" + id="use1016" /><use + xlink:href="#ArialMT-61-38" + transform="translate(472.46094,0.09375)" + id="use1017" /><use + xlink:href="#ArialMT-72-2" + transform="translate(528.07617,0.09375)" + id="use1018" /><use + xlink:href="#ArialMT-69-81" + transform="translate(561.37695,0.09375)" + id="use1019" /><use + xlink:href="#ArialMT-61-38" + transform="translate(583.59375,0.09375)" + id="use1020" /><use + xlink:href="#ArialMT-62-0" + transform="translate(639.20898,0.09375)" + id="use1021" /><use + xlink:href="#ArialMT-6c-2" + transform="translate(694.82422,0.09375)" + id="use1022" /><use + xlink:href="#ArialMT-65-8" + transform="translate(717.04102,0.09375)" + id="use1023" /><use + xlink:href="#ArialMT-20-3" + transform="translate(772.65625,0.09375)" + id="use1024" /><use + xlink:href="#DejaVuSans-Oblique-58-1" + transform="translate(800.43945,0.09375)" + id="use1025" /><use + xlink:href="#DejaVuSans-31-03" + transform="matrix(0.7,0,0,0.7,868.94531,-16.3125)" + id="use1026" /></g></g></g><g + id="matplotlib.axis_2"><g + id="ytick_1"><g + id="line2d_8"><defs + id="defs1026"><path + id="path148" + d="M 0,0 H -3.5" + style="stroke:#000000;stroke-width:0.8" /></defs><g + id="g1027"><use + xlink:href="#m4d2be22d86-21" + x="55.080002" + y="384.48001" + style="stroke:#000000;stroke-width:0.8" + id="use1027" /></g></g></g><g + id="ytick_2"><g + id="line2d_9"><g + id="g1028"><use + xlink:href="#m4d2be22d86-21" + x="55.080002" + y="340.12799" + style="stroke:#000000;stroke-width:0.8" + id="use1028" /></g></g></g><g + id="ytick_3"><g + id="line2d_10"><g + id="g1029"><use + xlink:href="#m4d2be22d86-21" + x="55.080002" + y="295.776" + style="stroke:#000000;stroke-width:0.8" + id="use1029" /></g></g></g><g + id="ytick_4"><g + id="line2d_11"><g + id="g1030"><use + xlink:href="#m4d2be22d86-21" + x="55.080002" + y="251.424" + style="stroke:#000000;stroke-width:0.8" + id="use1030" /></g></g></g><g + id="ytick_5"><g + id="line2d_12"><g + id="g1031"><use + xlink:href="#m4d2be22d86-21" + x="55.080002" + y="207.07201" + style="stroke:#000000;stroke-width:0.8" + id="use1031" /></g></g></g><g + id="ytick_6"><g + id="line2d_13"><g + id="g1032"><use + xlink:href="#m4d2be22d86-21" + x="55.080002" + y="162.72" + style="stroke:#000000;stroke-width:0.8" + id="use1032" /></g></g></g><g + id="ytick_7"><g + id="line2d_14"><g + id="g1033"><use + xlink:href="#m4d2be22d86-21" + x="55.080002" + y="118.368" + style="stroke:#000000;stroke-width:0.8" + id="use1033" /></g></g></g><g + id="ytick_8"><g + id="line2d_15"><g + id="g1034"><use + xlink:href="#m4d2be22d86-21" + x="55.080002" + y="74.015999" + style="stroke:#000000;stroke-width:0.8" + id="use1034" /></g></g></g><g + id="text_2"><!-- Random Variable $X_2$ --><g + transform="matrix(0,-0.16,-0.16,0,40.9,291.52)" + id="g1052"><defs + id="defs1034"><path + id="path149" + d="M 1228,531 H 3431 V 0 H 469 v 531 q 359,372 979,998 621,627 780,809 303,340 423,576 121,236 121,464 0,372 -261,606 -261,235 -680,235 -297,0 -627,-103 -329,-103 -704,-313 v 638 q 381,153 712,231 332,78 607,78 725,0 1156,-363 431,-362 431,-968 0,-288 -108,-546 -107,-257 -392,-607 -78,-91 -497,-524 Q 1991,1309 1228,531 Z" + transform="scale(0.015625)" /></defs><use + xlink:href="#ArialMT-52-8" + transform="translate(0,0.09375)" + id="use1035" /><use + xlink:href="#ArialMT-61-38" + transform="translate(72.216797,0.09375)" + id="use1036" /><use + xlink:href="#ArialMT-6e-27" + transform="translate(127.83203,0.09375)" + id="use1037" /><use + xlink:href="#ArialMT-64-04" + transform="translate(183.44727,0.09375)" + id="use1038" /><use + xlink:href="#ArialMT-6f-68" + transform="translate(239.0625,0.09375)" + id="use1039" /><use + xlink:href="#ArialMT-6d-91" + transform="translate(294.67773,0.09375)" + id="use1040" /><use + xlink:href="#ArialMT-20-3" + transform="translate(377.97852,0.09375)" + id="use1041" /><use + xlink:href="#ArialMT-56-9" + transform="translate(405.76172,0.09375)" + id="use1042" /><use + xlink:href="#ArialMT-61-38" + transform="translate(472.46094,0.09375)" + id="use1043" /><use + xlink:href="#ArialMT-72-2" + transform="translate(528.07617,0.09375)" + id="use1044" /><use + xlink:href="#ArialMT-69-81" + transform="translate(561.37695,0.09375)" + id="use1045" /><use + xlink:href="#ArialMT-61-38" + transform="translate(583.59375,0.09375)" + id="use1046" /><use + xlink:href="#ArialMT-62-0" + transform="translate(639.20898,0.09375)" + id="use1047" /><use + xlink:href="#ArialMT-6c-2" + transform="translate(694.82422,0.09375)" + id="use1048" /><use + xlink:href="#ArialMT-65-8" + transform="translate(717.04102,0.09375)" + id="use1049" /><use + xlink:href="#ArialMT-20-3" + transform="translate(772.65625,0.09375)" + id="use1050" /><use + xlink:href="#DejaVuSans-Oblique-58-1" + transform="translate(800.43945,0.09375)" + id="use1051" /><use + xlink:href="#DejaVuSans-32-36" + transform="matrix(0.7,0,0,0.7,868.94531,-16.3125)" + id="use1052" /></g></g></g><g + id="QuadContourSet_1"><path + clip-path="url(#pa8ac0eece6-2)" + style="fill:none;stroke:#0000ff;stroke-width:1.5" + id="path1052" + d="" /><path + d="m 105.48,335.41723 3.36,0.46852 3.36,-0.32227 3.36,-0.89053 1.47697,-0.59295 1.88303,-0.6297 3.36,-1.48355 2.24086,-1.24675 1.11914,-0.55748 3.36,-1.94714 1.29812,-0.85538 2.06188,-1.28057 2.91065,-2.07943 0.44935,-0.31361 3.36,-2.47936 0.72591,-0.56703 2.63409,-2.07494 1.54167,-1.28506 1.81833,-1.5702 2.01396,-1.7898 1.34604,-1.26943 2.20734,-2.09057 1.15266,-1.18369 2.15627,-2.17631 1.20373,-1.34297 1.87483,-2.01703 1.48517,-1.7971 1.36218,-1.5629 1.99782,-2.61865 0.60545,-0.74135 2.42009,-3.36 0.33446,-0.52954 1.96493,-2.83046 1.39507,-2.39628 0.62332,-0.96372 1.89076,-3.36 0.84592,-1.78228 0.84807,-1.57772 1.53694,-3.36 0.97499,-2.56521 0.34743,-0.79479 1.25563,-3.36 1.0245,-3.36 0.73244,-2.94274 0.12155,-0.41726 0.79985,-3.36 0.62219,-3.36 0.46482,-3.36 0.32135,-3.36 0.18669,-3.36 0.0568,-3.36 -0.0719,-3.36 -0.20237,-3.36 -0.33739,-3.36 -0.47961,-3.36 -0.63161,-3.36 -0.79605,-3.36 -0.0543,-0.19843 -0.83315,-3.16157 -1.07226,-3.36 -1.28536,-3.36 -0.16923,-0.4004 -1.26742,-2.9596 -1.69781,-3.36 -0.39477,-0.7109 -1.56239,-2.6491 -1.79761,-2.66285 -0.52339,-0.69715 -2.79607,-3.36 -0.0405,-0.0454 -3.36,-3.1601 -0.2114,-0.15445 -3.1486,-2.19813 -2.48709,-1.16187 -0.87291,-0.40155 -3.36,-0.87718 -3.36,-0.15882 -3.36,0.55437 -2.25037,0.88318 -1.10963,0.39368 -3.36,1.98346 -1.15391,0.98286 -2.20609,1.77603 -1.46521,1.58397 -1.89479,1.98743 -1.03752,1.37257 -2.32248,3.07522 -0.18069,0.28478 -2.15846,3.36 -1.02085,1.62755 -0.95764,1.73245 -1.79152,3.36 -0.61084,1.16394 -1.06943,2.19606 -1.54273,3.36 -0.74784,1.69473 -0.72196,1.66527 -1.38843,3.36 -1.24961,3.35828 -6.7e-4,0.002 -1.3181,3.36 -1.17078,3.36 -0.87045,2.73158 -0.22327,0.62842 -1.16837,3.36 -1.02916,3.36 -0.91372,3.36 -0.0255,0.0932 -1.05646,3.2668 -0.95069,3.36 -0.83487,3.36 -0.51798,2.26658 -0.32097,1.09342 -0.93256,3.36 -0.80709,3.36 -0.70419,3.36 -0.59519,3.20943 -0.0389,0.15057 -0.83544,3.36 -0.71291,3.36 -0.611789,3.36 -0.527952,3.36 -0.457842,3.36 -0.175147,1.43261 -0.351413,1.92739 -0.51659,3.36 -0.410102,3.36 -0.310154,3.36 -0.209604,3.36 -0.09932,3.36 0.03371,3.36 0.209666,3.36 0.462198,3.36 0.850682,3.36 0.340926,0.91117 1.130447,2.44883 2.229554,2.82886 0.83548,0.53114 z" + clip-path="url(#pa8ac0eece6-2)" + style="fill:none;stroke:#001cf1;stroke-width:1.5" + id="path1053" /><path + d="m 108.84,328.3104 3.36,0.33722 3.36,-0.54079 2.13795,-0.74683 1.22205,-0.37599 3.36,-1.48115 2.62259,-1.50286 0.73741,-0.40066 3.36,-2.131 1.15409,-0.82834 2.20591,-1.5806 2.24152,-1.7794 1.11848,-0.91517 2.80633,-2.44483 0.55367,-0.51133 2.99604,-2.84867 0.36396,-0.37604 2.88672,-2.98396 0.47328,-0.54336 2.51311,-2.81664 0.84689,-1.07484 1.88377,-2.28516 1.47623,-2.06315 0.98875,-1.29685 2.20817,-3.36 0.16308,-0.28196 1.94688,-3.07804 1.41312,-2.68999 0.39002,-0.67001 1.6964,-3.36 1.27358,-3.06857 0.13657,-0.29143 1.34836,-3.36 1.09434,-3.36 0.78073,-2.95924 0.12176,-0.40076 0.81771,-3.36 0.62088,-3.36 0.44369,-3.36 0.2784,-3.36 0.11872,-3.36 -0.0407,-3.36 -0.20446,-3.36 -0.37711,-3.36 -0.56294,-3.36 -0.76644,-3.36 -0.44955,-1.58136 -0.51108,-1.77864 -1.18831,-3.36 -1.4852,-3.36 L 162.6,226.20893 160.94761,223.2 159.24,220.60745 158.64211,219.84 155.88,216.73871 155.57596,216.48 152.52,214.10253 150.4852,213.12 l -1.3252,-0.61061 -3.36,-0.68522 -3.36,0.19638 -3.36,1.0759 -0.0391,0.0236 -3.32095,1.84314 -1.78649,1.51686 -1.57351,1.25853 -1.89482,2.10147 -1.46518,1.57417 -1.29257,1.78583 -2.06743,2.86107 -0.29977,0.49893 -2.02916,3.36 -1.03107,1.74684 -0.83525,1.61316 -1.68502,3.36 -0.83973,1.72795 -0.7369,1.63205 -1.45533,3.36 -1.16777,2.90467 -0.18122,0.45533 -1.31861,3.36 -1.1904,3.36 -0.66977,1.99726 -0.47999,1.36274 -1.12416,3.36 -1.0061,3.36 -0.74975,2.72372 -0.19699,0.63628 -0.99814,3.36 -0.88096,3.36 -0.78425,3.36 -0.49966,2.33071 -0.26518,1.02929 -0.7991,3.36 -0.69097,3.36 -0.5983,3.36 -0.51705,3.36 -0.4431,3.36 -0.0463,0.41754 -0.41393,2.94246 -0.35002,3.36 -0.21959,3.36 -0.0711,3.36 0.11379,3.36 0.36427,3.36 0.57657,2.72791 0.15641,0.63209 1.41917,3.36 1.78442,2.41916 1.4713,0.94084 z" + clip-path="url(#pa8ac0eece6-2)" + style="fill:none;stroke:#0038e3;stroke-width:1.5" + id="path1054" /><path + d="m 108.84,321.74907 3.36,1.34168 3.36,-0.0816 3.36,-0.9004 3.24863,-1.46872 0.11137,-0.0477 3.36,-1.89581 2.05588,-1.4165 1.30412,-0.90632 3.08474,-2.45368 0.27526,-0.22842 3.36,-3.01669 0.12294,-0.11489 3.23706,-3.27403 0.0836,-0.086 2.98655,-3.36 0.28985,-0.3665 2.41858,-2.9935 0.94142,-1.34019 1.48471,-2.01981 1.87529,-2.98631 0.2506,-0.37369 1.97871,-3.36 1.13069,-2.29556 0.57365,-1.06444 1.53889,-3.36 1.24746,-3.32172 0.016,-0.0383 1.17438,-3.36 0.93281,-3.36 0.724,-3.36 0.51277,-3.21907 0.0256,-0.14093 0.39614,-3.36 0.19585,-3.36 -0.003,-3.36 -0.20683,-3.36 -0.40792,-3.24741 -0.0141,-0.11259 -0.62786,-3.36 -0.89366,-3.36 -1.20139,-3.36 -0.62298,-1.41852 -0.97056,-1.94148 -2.10367,-3.36 -0.28577,-0.39502 -2.80572,-2.96498 -0.55428,-0.50848 -3.36,-2.01163 -3.36,-0.81883 -3.36,0.21058 -3.36,1.18332 -2.94833,1.94504 -0.41167,0.2513 -3.29352,3.1087 -0.0665,0.0596 -2.65599,3.30042 -0.70401,0.85671 -1.61158,2.50329 -1.74842,2.75999 -0.32048,0.60001 -1.78652,3.36 -1.253,2.4549 -0.4133,0.9051 -1.50161,3.36 -1.39389,3.36 -0.0512,0.12329 -1.26547,3.23671 -1.20114,3.36 -0.89339,2.67382 -0.23183,0.68618 -1.08876,3.36 -0.97951,3.36 -0.88974,3.36 -0.17016,0.67473 -0.72304,2.68527 -0.80455,3.36 -0.70598,3.36 -0.61845,3.36 -0.50798,3.17415 -0.0339,0.18585 -0.50878,3.36 -0.37943,3.36 -0.23977,3.36 -0.0752,3.36 0.13644,3.36 0.432,3.36 0.66872,2.65335 0.24528,0.70665 2.04187,3.36 z" + clip-path="url(#pa8ac0eece6-2)" + style="fill:none;stroke:#0055d4;stroke-width:1.5" + id="path1055" /><path + d="m 112.2,317.69009 3.36,0.62039 3.36,-0.61588 0.97031,-0.4146 2.38969,-0.98439 3.36,-1.97664 0.5565,-0.39897 2.8035,-2.066 1.5324,-1.294 1.8276,-1.63933 1.77033,-1.72067 1.58967,-1.68882 1.51698,-1.67118 1.84302,-2.27531 0.87788,-1.08469 2.38096,-3.36 0.10116,-0.16212 2.06186,-3.19788 1.29814,-2.38453 0.56248,-0.97547 1.64947,-3.36 1.14805,-2.82323 0.23682,-0.53677 1.22195,-3.36 0.97013,-3.36 0.74865,-3.36 0.18245,-1.1513 0.38756,-2.2087 0.35737,-3.36 0.13171,-3.36 -0.10068,-3.36 -0.34929,-3.36 -0.42667,-2.34908 -0.19802,-1.01092 -0.95788,-3.36 -1.3652,-3.36 L 149.16,245.1115 147.98705,243.36 145.8,240.78064 144.73484,240 142.44,238.55317 l -3.36,-0.75655 -3.36,0.46977 -3.36,1.61941 L 132.22548,240 129,242.57682 l -0.67014,0.78318 -2.68986,3.04728 -0.20821,0.31272 -2.26487,3.36 -0.88692,1.30959 -1.11672,2.05041 -1.77991,3.36 -0.46337,0.87947 -1.11994,2.48053 -1.43911,3.36 -0.80095,1.94118 -0.53618,1.41882 -1.20471,3.36 -1.11014,3.36 -0.50897,1.62494 -0.52781,1.73506 -0.93716,3.36 -0.83734,3.36 -0.74867,3.36 -0.30902,1.56113 -0.36515,1.79887 -0.5637,3.36 -0.43271,3.36 -0.28672,3.36 -0.10842,3.36 0.13008,3.36 0.47644,3.36 1.01704,3.36 0.13314,0.28296 2.78713,3.07704 z" + clip-path="url(#pa8ac0eece6-2)" + style="fill:none;stroke:#0071c6;stroke-width:1.5" + id="path1056" /><path + d="m 112.2,311.31088 3.36,2.12869 3.36,-0.11908 3.36,-1.23649 2.57685,-1.524 0.78315,-0.47316 3.36,-2.63481 0.27906,-0.25203 3.08094,-3.003 0.33746,-0.357 2.86773,-3.36 0.15481,-0.20324 2.31795,-3.15676 1.04205,-1.63659 1.10085,-1.72341 1.82892,-3.36 0.43023,-0.93485 1.15549,-2.42515 1.31193,-3.36 0.89258,-2.8376 0.17463,-0.5224 0.84725,-3.36 0.59365,-3.36 0.3448,-3.36 0.0863,-3.36 -0.19617,-3.36 -0.51845,-3.36 -0.89909,-3.36 L 145.8,255.65097 144.71958,253.44 142.44,250.18889 142.30996,250.08 139.08,247.91674 l -3.36,-0.48228 -3.36,0.94047 -2.51914,1.70507 -0.84086,0.52991 -2.70143,2.83009 -0.65857,0.66031 -1.88002,2.69969 -1.47998,2.10262 -0.68456,1.25738 -1.79898,3.36 -0.87646,1.66126 -0.74265,1.69874 -1.40488,3.36 -1.21247,3.04853 -0.11009,0.31147 -1.12174,3.36 -1.02252,3.36 -0.93598,3.36 -0.16967,0.67581 -0.62589,2.68419 -0.65814,3.36 -0.52376,3.36 -0.36884,3.36 -0.17122,3.36 0.10678,3.36 0.53377,3.36 1.24353,3.36 z" + clip-path="url(#pa8ac0eece6-2)" + style="fill:none;stroke:#008eb8;stroke-width:1.5" + id="path1057" /><path + d="m 115.56,307.55687 3.36,0.95294 3.36,-0.86697 0.75667,-0.44284 2.60333,-1.57645 2.15262,-1.78355 1.20738,-1.07422 2.14028,-2.28578 1.21972,-1.44451 1.46305,-1.91549 1.89695,-2.8323 0.33876,-0.5277 1.83345,-3.36 1.18779,-2.58545 0.35436,-0.77455 1.2226,-3.36 0.94446,-3.36 0.67329,-3.36 0.16529,-1.50462 0.20612,-1.85538 0.0466,-3.36 -0.25274,-2.78967 -0.0641,-0.57033 -0.86153,-3.36 -1.56296,-3.36 L 139.08,258.87952 136.14717,256.8 135.72,256.5704 132.36,256.55279 131.88824,256.8 129,258.20318 l -2.05112,1.95682 -1.30888,1.18821 -1.54327,2.17179 -1.81673,2.51037 -0.45262,0.84963 -1.74846,3.36 -1.15892,2.26631 -0.44514,1.09369 -1.28563,3.36 -1.2065,3.36 -0.42273,1.27872 -0.57924,2.08128 -0.80432,3.36 -0.6634,3.36 -0.49404,3.36 -0.26503,3.36 0.0817,3.36 0.66357,3.36 1.74257,3.36 z" + clip-path="url(#pa8ac0eece6-2)" + style="fill:none;stroke:#00aaaa;stroke-width:1.5" + id="path1058" /><path + d="m 118.92,302.20395 3.36,0.0682 3.36,-1.78267 0.0108,-0.01 3.34924,-3.21133 0.12464,-0.14867 2.45281,-3.36 0.78255,-1.22508 1.18044,-2.13492 1.5364,-3.36 0.64316,-1.79433 0.5151,-1.56567 0.73452,-3.36 0.36244,-3.36 -0.0879,-3.36 -0.68149,-3.36 -0.84265,-1.99953 -1.32107,-1.36047 -2.03893,-1.2662 -3.36,0.58611 -0.813,0.68009 -2.547,2.02391 -0.94933,1.33609 -2.41067,3.31851 -0.0207,0.0415 -1.57079,3.36 -1.53362,3.36 -0.23489,0.56835 -0.84218,2.79165 -0.85245,3.36 -0.65565,3.36 -0.36398,3.36 0.13549,3.36 1.12191,3.36 z" + clip-path="url(#pa8ac0eece6-2)" + style="fill:none;stroke:#00c79c;stroke-width:1.5" + id="path1059" /><path + d="m 122.28,292.55406 3.36,-0.34924 1.43606,-1.80482 1.92394,-2.76701 0.25734,-0.59299 0.79169,-3.36 -0.006,-3.36 -1.04336,-2.34809 -3.36,1.12879 -0.74487,1.2193 -1.87361,3.36 -0.74152,1.58917 -0.39807,1.77083 -0.17195,3.36 z" + clip-path="url(#pa8ac0eece6-2)" + style="fill:none;stroke:#00e38e;stroke-width:1.5" + id="path1060" /><path + clip-path="url(#pa8ac0eece6-2)" + style="fill:none;stroke:#00ff80;stroke-width:1.5" + id="path1061" + d="" /></g><g + id="patch_3"><path + d="M 55.08,384.48 V 51.84" + style="fill:none;stroke:#000000;stroke-width:2;stroke-linecap:square;stroke-linejoin:miter" + id="path1062" /></g><g + id="patch_4"><path + d="M 387.72,384.48 V 51.84" + style="fill:#000000;stroke:url(#linearGradient172);stroke-width:2;stroke-linecap:square;stroke-linejoin:miter;fill-opacity:1" + id="path1063" /></g><g + id="patch_5"><path + d="M 55.08,384.48 H 387.72" + style="fill:none;stroke:#000000;stroke-width:2;stroke-linecap:square;stroke-linejoin:miter" + id="path1064" /></g><g + id="patch_6" + style="stroke:url(#linearGradient168)"><path + d="M 55.08,51.84 H 387.72" + style="fill:none;stroke:url(#linearGradient168);stroke-width:2;stroke-linecap:square;stroke-linejoin:miter" + id="path1065" /></g></g></g></g><g + inkscape:groupmode="layer" + id="layer3" + inkscape:label="FN"><g + id="figure_1-0" + transform="matrix(0.35277778,0,0,0.35277778,63.936421,-9.6630793)"><g + id="patch_1-1"><path + d="M 0,432 H 432 V 0 H 0 Z" + style="opacity:0;fill:none" + id="path1-6" /></g><g + id="axes_1-6"><g + id="patch_2-5"><path + d="M 54,384.48 H 388.8 V 51.84 H 54 Z" + style="opacity:0;fill:none" + id="path2-4" /></g><g + id="matplotlib.axis_1-8"><g + id="xtick_1-4"><g + id="line2d_1-1"><defs + id="defs2-6"><path + id="path150" + d="M 0,0 V 2" + style="stroke:#000000;stroke-width:0.6" /></defs><g + id="g2-9"><use + xlink:href="#m0e52a5a8ad-8" + x="87.594948" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use2-3" /></g></g></g><g + id="xtick_2-8"><g + id="line2d_2-3"><g + id="g3-8"><use + xlink:href="#m0e52a5a8ad-8" + x="107.24673" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use3-8" /></g></g></g><g + id="xtick_3-8"><g + id="line2d_3-5"><g + id="g4-6"><use + xlink:href="#m0e52a5a8ad-8" + x="121.1899" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use4-6" /></g></g></g><g + id="xtick_4-9"><g + id="line2d_4-1"><g + id="g5-4"><use + xlink:href="#m0e52a5a8ad-8" + x="132.00505" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use5-4" /></g></g></g><g + id="xtick_5-3"><g + id="line2d_5-5"><g + id="g6-5"><use + xlink:href="#m0e52a5a8ad-8" + x="140.84167" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use6-8" /></g></g></g><g + id="xtick_6-1"><g + id="line2d_6-9"><g + id="g7-9"><use + xlink:href="#m0e52a5a8ad-8" + x="148.31294" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use7-2" /></g></g></g><g + id="xtick_7-7"><g + id="line2d_7-7"><g + id="g8-7"><use + xlink:href="#m0e52a5a8ad-8" + x="154.78484" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use8-4" /></g></g></g><g + id="xtick_8"><g + id="line2d_8-5"><g + id="g9-6"><use + xlink:href="#m0e52a5a8ad-8" + x="160.49347" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use9-1" /></g></g></g><g + id="xtick_9"><g + id="line2d_9-0"><g + id="g10-7"><use + xlink:href="#m0e52a5a8ad-8" + x="199.19495" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use10-4" /></g></g></g><g + id="xtick_10"><g + id="line2d_10-2"><g + id="g11-0"><use + xlink:href="#m0e52a5a8ad-8" + x="218.84673" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use11-1" /></g></g></g><g + id="xtick_11"><g + id="line2d_11-2"><g + id="g12-2"><use + xlink:href="#m0e52a5a8ad-8" + x="232.7899" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use12-3" /></g></g></g><g + id="xtick_12"><g + id="line2d_12-2"><g + id="g13-5"><use + xlink:href="#m0e52a5a8ad-8" + x="243.60506" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use13-2" /></g></g></g><g + id="xtick_13"><g + id="line2d_13-4"><g + id="g14-9"><use + xlink:href="#m0e52a5a8ad-8" + x="252.44168" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use14-6" /></g></g></g><g + id="xtick_14"><g + id="line2d_14-1"><g + id="g15-4"><use + xlink:href="#m0e52a5a8ad-8" + x="259.91293" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use15-4" /></g></g></g><g + id="xtick_15"><g + id="line2d_15-9"><g + id="g16-9"><use + xlink:href="#m0e52a5a8ad-8" + x="266.38486" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use16-7" /></g></g></g><g + id="xtick_16"><g + id="line2d_16"><g + id="g17-6"><use + xlink:href="#m0e52a5a8ad-8" + x="272.09348" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use17-2" /></g></g></g><g + id="xtick_17"><g + id="line2d_17"><g + id="g18-1"><use + xlink:href="#m0e52a5a8ad-8" + x="310.79495" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use18-8" /></g></g></g><g + id="xtick_18"><g + id="line2d_18"><g + id="g19-6"><use + xlink:href="#m0e52a5a8ad-8" + x="330.44675" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use19-0" /></g></g></g><g + id="xtick_19"><g + id="line2d_19"><g + id="g20-6"><use + xlink:href="#m0e52a5a8ad-8" + x="344.38989" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use20-1" /></g></g></g><g + id="xtick_20"><g + id="line2d_20"><g + id="g21-0"><use + xlink:href="#m0e52a5a8ad-8" + x="355.20505" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use21-5" /></g></g></g><g + id="xtick_21"><g + id="line2d_21"><g + id="g22-1"><use + xlink:href="#m0e52a5a8ad-8" + x="364.04169" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use22-5" /></g></g></g><g + id="xtick_22"><g + id="line2d_22"><g + id="g23-6"><use + xlink:href="#m0e52a5a8ad-8" + x="371.51294" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use23-4" /></g></g></g><g + id="xtick_23"><g + id="line2d_23"><g + id="g24-3"><use + xlink:href="#m0e52a5a8ad-8" + x="377.98483" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use24-4" /></g></g></g><g + id="xtick_24"><g + id="line2d_24"><g + id="g25-4"><use + xlink:href="#m0e52a5a8ad-8" + x="383.69345" + y="384.48001" + style="stroke:#000000;stroke-width:0.6" + id="use25-0" /></g></g></g><g + id="text_1-7"><!-- Consequences --><g + transform="matrix(0.16,0,0,-0.16,168.0325,405.5275)" + id="g37-6"><defs + id="defs25"><path + id="path151" + d="m 3763,1606 606,-153 Q 4178,706 3683,314 3188,-78 2472,-78 1731,-78 1267,223 803,525 561,1097 319,1669 319,2325 q 0,716 273,1248 274,533 778,809 505,277 1111,277 688,0 1156,-350 469,-350 654,-984 l -597,-141 q -160,500 -463,728 -303,229 -762,229 -528,0 -883,-254 -355,-253 -499,-680 -143,-426 -143,-879 0,-584 170,-1020 170,-436 529,-652 360,-215 779,-215 509,0 862,293 354,294 479,872 z" + transform="scale(0.015625)" /><path + id="path152" + d="m 213,1659 q 0,922 512,1366 428,369 1044,369 684,0 1118,-449 435,-448 435,-1239 0,-640 -192,-1008 Q 2938,331 2570,128 2203,-75 1769,-75 1072,-75 642,372 213,819 213,1659 Z m 578,0 q 0,-637 278,-954 278,-317 700,-317 419,0 697,318 278,319 278,972 0,616 -280,933 -280,317 -695,317 -422,0 -700,-316 -278,-315 -278,-953 z" + transform="scale(0.015625)" /><path + id="path153" + d="m 422,0 v 3319 h 506 v -472 q 366,547 1056,547 300,0 552,-108 252,-108 377,-283 125,-175 175,-415 31,-157 31,-547 V 0 h -563 v 2019 q 0,344 -66,514 -65,170 -232,271 -167,102 -392,102 -360,0 -621,-228 Q 984,2450 984,1813 V 0 Z" + transform="scale(0.015625)" /><path + id="path154" + d="m 197,991 556,87 q 47,-334 261,-512 214,-178 599,-178 387,0 574,157 188,158 188,371 0,190 -166,300 -115,75 -575,190 -618,157 -857,271 -239,114 -363,315 -123,202 -123,446 0,221 101,410 102,190 277,315 131,96 357,163 227,68 487,68 390,0 685,-113 296,-112 436,-305 141,-192 194,-513 l -550,-75 q -37,256 -217,399 -180,144 -508,144 -387,0 -553,-128 -166,-128 -166,-300 0,-109 69,-197 69,-90 216,-150 84,-31 497,-143 597,-160 832,-262 236,-101 370,-295 135,-193 135,-481 0,-281 -164,-530 Q 2625,197 2315,61 2006,-75 1616,-75 969,-75 630,194 291,463 197,991 Z" + transform="scale(0.015625)" /><path + id="path155" + d="m 2694,1069 581,-72 Q 3138,488 2766,206 2394,-75 1816,-75 1088,-75 661,373 234,822 234,1631 q 0,838 431,1300 432,463 1119,463 666,0 1088,-453 422,-453 422,-1275 0,-50 -3,-150 H 816 q 31,-547 309,-838 278,-290 694,-290 309,0 528,162 219,163 347,519 z M 847,1978 h 1853 q -37,419 -212,628 -269,325 -697,325 -388,0 -652,-259 -264,-259 -292,-694 z" + transform="scale(0.015625)" /><path + id="path156" + d="M 2538,-1272 V 353 Q 2406,169 2170,47 1934,-75 1669,-75 1078,-75 651,397 225,869 225,1691 q 0,500 173,896 174,397 503,602 330,205 724,205 616,0 969,-519 v 444 h 506 V -1272 Z M 803,1669 q 0,-641 269,-961 269,-320 644,-320 359,0 618,304 260,305 260,927 0,662 -274,996 -273,335 -642,335 -365,0 -620,-311 -255,-311 -255,-970 z" + transform="scale(0.015625)" /><path + id="path157" + d="M 2597,0 V 488 Q 2209,-75 1544,-75 1250,-75 995,37 741,150 617,320 494,491 444,738 409,903 409,1263 V 3319 H 972 V 1478 q 0,-440 34,-594 53,-221 225,-348 172,-127 425,-127 253,0 475,130 222,130 314,353 93,224 93,649 v 1778 h 562 V 0 Z" + transform="scale(0.015625)" /><path + id="path158" + d="m 2588,1216 553,-72 Q 3050,572 2676,248 2303,-75 1759,-75 1078,-75 664,370 250,816 250,1647 q 0,537 178,940 178,404 542,605 364,202 793,202 540,0 884,-274 344,-273 441,-776 l -547,-85 q -78,335 -277,503 -198,169 -480,169 -425,0 -691,-305 -265,-304 -265,-963 0,-669 256,-972 257,-303 669,-303 331,0 553,203 222,203 282,625 z" + transform="scale(0.015625)" /></defs><use + xlink:href="#ArialMT-43-7" + id="use26-2" /><use + xlink:href="#ArialMT-6f-47" + x="72.216797" + id="use27-3" /><use + xlink:href="#ArialMT-6e-9" + x="127.83203" + id="use28-7" /><use + xlink:href="#ArialMT-73-7" + x="183.44727" + id="use29-8" /><use + xlink:href="#ArialMT-65-09" + x="233.44727" + id="use30-6" /><use + xlink:href="#ArialMT-71-0" + x="289.0625" + id="use31-5" /><use + xlink:href="#ArialMT-75-9" + x="344.67773" + id="use32-7" /><use + xlink:href="#ArialMT-65-09" + x="400.29297" + id="use33-2" /><use + xlink:href="#ArialMT-6e-9" + x="455.9082" + id="use34-1" /><use + xlink:href="#ArialMT-63-4" + x="511.52344" + id="use35-4" /><use + xlink:href="#ArialMT-65-09" + x="561.52344" + id="use36-7" /><use + xlink:href="#ArialMT-73-7" + x="617.13867" + id="use37-2" /></g></g></g><g + id="matplotlib.axis_2-1"><g + id="ytick_1-9"><g + id="line2d_25"><defs + id="defs37"><path + id="path159" + d="M 0,0 H -2" + style="stroke:#000000;stroke-width:0.6" /></defs><g + id="g38-9"><use + xlink:href="#mfa9b054434-9" + x="54" + y="359.44635" + style="stroke:#000000;stroke-width:0.6" + id="use38-7" /></g></g></g><g + id="ytick_2-4"><g + id="line2d_26"><g + id="g39-5"><use + xlink:href="#mfa9b054434-9" + x="54" + y="344.80258" + style="stroke:#000000;stroke-width:0.6" + id="use39-1" /></g></g></g><g + id="ytick_3-9"><g + id="line2d_27"><g + id="g40-8"><use + xlink:href="#mfa9b054434-9" + x="54" + y="334.41269" + style="stroke:#000000;stroke-width:0.6" + id="use40-9" /></g></g></g><g + id="ytick_4-4"><g + id="line2d_28"><g + id="g41-9"><use + xlink:href="#mfa9b054434-9" + x="54" + y="326.35367" + style="stroke:#000000;stroke-width:0.6" + id="use41-3" /></g></g></g><g + id="ytick_5-1"><g + id="line2d_29"><g + id="g42-5"><use + xlink:href="#mfa9b054434-9" + x="54" + y="319.76895" + style="stroke:#000000;stroke-width:0.6" + id="use42-2" /></g></g></g><g + id="ytick_6-1"><g + id="line2d_30"><g + id="g43-6"><use + xlink:href="#mfa9b054434-9" + x="54" + y="314.20166" + style="stroke:#000000;stroke-width:0.6" + id="use43-0" /></g></g></g><g + id="ytick_7-9"><g + id="line2d_31"><g + id="g44-0"><use + xlink:href="#mfa9b054434-9" + x="54" + y="309.37903" + style="stroke:#000000;stroke-width:0.6" + id="use44-3" /></g></g></g><g + id="ytick_8-8"><g + id="line2d_32"><g + id="g45-0"><use + xlink:href="#mfa9b054434-9" + x="54" + y="305.12518" + style="stroke:#000000;stroke-width:0.6" + id="use45-2" /></g></g></g><g + id="ytick_9"><g + id="line2d_33"><g + id="g46-0"><use + xlink:href="#mfa9b054434-9" + x="54" + y="276.28635" + style="stroke:#000000;stroke-width:0.6" + id="use46-9" /></g></g></g><g + id="ytick_10"><g + id="line2d_34"><g + id="g47-1"><use + xlink:href="#mfa9b054434-9" + x="54" + y="261.64261" + style="stroke:#000000;stroke-width:0.6" + id="use47-0" /></g></g></g><g + id="ytick_11"><g + id="line2d_35"><g + id="g48-8"><use + xlink:href="#mfa9b054434-9" + x="54" + y="251.25269" + style="stroke:#000000;stroke-width:0.6" + id="use48-0" /></g></g></g><g + id="ytick_12"><g + id="line2d_36"><g + id="g49-5"><use + xlink:href="#mfa9b054434-9" + x="54" + y="243.19365" + style="stroke:#000000;stroke-width:0.6" + id="use49-9" /></g></g></g><g + id="ytick_13"><g + id="line2d_37"><g + id="g50-4"><use + xlink:href="#mfa9b054434-9" + x="54" + y="236.60895" + style="stroke:#000000;stroke-width:0.6" + id="use50-0" /></g></g></g><g + id="ytick_14"><g + id="line2d_38"><g + id="g51-9"><use + xlink:href="#mfa9b054434-9" + x="54" + y="231.04164" + style="stroke:#000000;stroke-width:0.6" + id="use51-1" /></g></g></g><g + id="ytick_15"><g + id="line2d_39"><g + id="g52-8"><use + xlink:href="#mfa9b054434-9" + x="54" + y="226.21904" + style="stroke:#000000;stroke-width:0.6" + id="use52-1" /></g></g></g><g + id="ytick_16"><g + id="line2d_40"><g + id="g53-2"><use + xlink:href="#mfa9b054434-9" + x="54" + y="221.96519" + style="stroke:#000000;stroke-width:0.6" + id="use53-3" /></g></g></g><g + id="ytick_17"><g + id="line2d_41"><g + id="g54-8"><use + xlink:href="#mfa9b054434-9" + x="54" + y="193.12634" + style="stroke:#000000;stroke-width:0.6" + id="use54-0" /></g></g></g><g + id="ytick_18"><g + id="line2d_42"><g + id="g55-4"><use + xlink:href="#mfa9b054434-9" + x="54" + y="178.48259" + style="stroke:#000000;stroke-width:0.6" + id="use55-2" /></g></g></g><g + id="ytick_19"><g + id="line2d_43"><g + id="g56-7"><use + xlink:href="#mfa9b054434-9" + x="54" + y="168.0927" + style="stroke:#000000;stroke-width:0.6" + id="use56-3" /></g></g></g><g + id="ytick_20"><g + id="line2d_44"><g + id="g57-5"><use + xlink:href="#mfa9b054434-9" + x="54" + y="160.03366" + style="stroke:#000000;stroke-width:0.6" + id="use57-7" /></g></g></g><g + id="ytick_21"><g + id="line2d_45"><g + id="g58-6"><use + xlink:href="#mfa9b054434-9" + x="54" + y="153.44894" + style="stroke:#000000;stroke-width:0.6" + id="use58-2" /></g></g></g><g + id="ytick_22"><g + id="line2d_46"><g + id="g59-6"><use + xlink:href="#mfa9b054434-9" + x="54" + y="147.88165" + style="stroke:#000000;stroke-width:0.6" + id="use59-1" /></g></g></g><g + id="ytick_23"><g + id="line2d_47"><g + id="g60-7"><use + xlink:href="#mfa9b054434-9" + x="54" + y="143.05904" + style="stroke:#000000;stroke-width:0.6" + id="use60-1" /></g></g></g><g + id="ytick_24"><g + id="line2d_48"><g + id="g61-7"><use + xlink:href="#mfa9b054434-9" + x="54" + y="138.80519" + style="stroke:#000000;stroke-width:0.6" + id="use61-3" /></g></g></g><g + id="ytick_25"><g + id="line2d_49"><g + id="g62-0"><use + xlink:href="#mfa9b054434-9" + x="54" + y="109.96635" + style="stroke:#000000;stroke-width:0.6" + id="use62-4" /></g></g></g><g + id="ytick_26"><g + id="line2d_50"><g + id="g63-8"><use + xlink:href="#mfa9b054434-9" + x="54" + y="95.322594" + style="stroke:#000000;stroke-width:0.6" + id="use63-3" /></g></g></g><g + id="ytick_27"><g + id="line2d_51"><g + id="g64-3"><use + xlink:href="#mfa9b054434-9" + x="54" + y="84.932693" + style="stroke:#000000;stroke-width:0.6" + id="use64-5" /></g></g></g><g + id="ytick_28"><g + id="line2d_52"><g + id="g65-9"><use + xlink:href="#mfa9b054434-9" + x="54" + y="76.873657" + style="stroke:#000000;stroke-width:0.6" + id="use65-0" /></g></g></g><g + id="ytick_29"><g + id="line2d_53"><g + id="g66-4"><use + xlink:href="#mfa9b054434-9" + x="54" + y="70.28894" + style="stroke:#000000;stroke-width:0.6" + id="use66-5" /></g></g></g><g + id="ytick_30"><g + id="line2d_54"><g + id="g67-8"><use + xlink:href="#mfa9b054434-9" + x="54" + y="64.721649" + style="stroke:#000000;stroke-width:0.6" + id="use67-1" /></g></g></g><g + id="ytick_31"><g + id="line2d_55"><g + id="g68-2"><use + xlink:href="#mfa9b054434-9" + x="54" + y="59.899036" + style="stroke:#000000;stroke-width:0.6" + id="use68-5" /></g></g></g><g + id="ytick_32"><g + id="line2d_56"><g + id="g69-7"><use + xlink:href="#mfa9b054434-9" + x="54" + y="55.645191" + style="stroke:#000000;stroke-width:0.6" + id="use69-0" /></g></g></g><g + id="text_2-1"><!-- Probability --><g + transform="matrix(0,-0.16,-0.16,0,41.2325,255.51)" + id="g80-4"><defs + id="defs69"><path + id="path160" + d="m 494,0 v 4581 h 1728 q 456,0 697,-43 337,-57 565,-215 229,-157 368,-442 139,-284 139,-625 0,-584 -372,-989 -372,-404 -1344,-404 H 1100 V 0 Z m 606,2403 h 1184 q 588,0 835,219 247,219 247,616 0,287 -146,491 -145,205 -382,271 -154,41 -566,41 H 1100 Z" + transform="scale(0.015625)" /><path + id="path161" + d="m 416,0 v 3319 h 506 v -503 q 194,353 358,465 164,113 361,113 284,0 578,-181 l -194,-522 q -206,122 -412,122 -185,0 -332,-111 -147,-111 -209,-308 -94,-300 -94,-656 V 0 Z" + transform="scale(0.015625)" /><path + id="path162" + d="M 941,0 H 419 V 4581 H 981 V 2947 q 357,447 910,447 306,0 579,-124 274,-123 450,-347 177,-223 277,-539 100,-315 100,-675 0,-853 -422,-1319 -422,-465 -1012,-465 -588,0 -922,491 z m -7,1684 q 0,-596 163,-862 266,-434 719,-434 368,0 637,320 269,320 269,955 0,650 -258,959 -258,309 -623,309 -369,0 -638,-320 -269,-320 -269,-927 z" + transform="scale(0.015625)" /><path + id="path163" + d="M 2588,409 Q 2275,144 1986,34 1697,-75 1366,-75 819,-75 525,192 231,459 231,875 q 0,244 111,445 111,202 291,324 180,122 405,184 165,44 500,85 681,81 1003,193 3,116 3,147 0,344 -160,485 -215,190 -640,190 -397,0 -586,-139 -189,-139 -280,-492 l -550,75 q 75,353 247,570 172,217 497,334 325,118 753,118 425,0 690,-100 266,-100 391,-252 125,-151 175,-383 28,-143 28,-518 v -750 q 0,-785 36,-993 36,-207 143,-398 h -588 q -87,175 -112,409 z m -47,1257 q -307,-125 -919,-213 -347,-50 -491,-113 -143,-62 -222,-182 -78,-120 -78,-267 0,-225 170,-375 171,-150 499,-150 325,0 578,142 253,142 372,389 91,191 91,562 z" + transform="scale(0.015625)" /><path + id="path164" + d="m 425,3934 v 647 H 988 V 3934 Z M 425,0 V 3319 H 988 V 0 Z" + transform="scale(0.015625)" /><path + id="path165" + d="M 409,0 V 4581 H 972 V 0 Z" + transform="scale(0.015625)" /><path + id="path166" + d="M 1650,503 1731,6 Q 1494,-44 1306,-44 1000,-44 831,53 663,150 594,308 525,466 525,972 V 2881 H 113 v 438 h 412 v 822 l 559,337 V 3319 h 566 V 2881 H 1084 V 941 q 0,-241 30,-310 30,-68 97,-109 67,-41 192,-41 94,0 247,22 z" + transform="scale(0.015625)" /><path + id="path167" + d="m 397,-1278 -63,528 q 185,-50 322,-50 188,0 300,63 113,62 185,174 53,85 172,419 15,47 50,138 L 103,3319 h 606 l 691,-1922 q 134,-366 241,-769 97,388 231,756 l 709,1935 h 563 L 1881,-56 q -203,-547 -315,-753 -150,-279 -344,-408 -194,-130 -463,-130 -162,0 -362,69 z" + transform="scale(0.015625)" /></defs><use + xlink:href="#ArialMT-50-3" + id="use70-6" /><use + xlink:href="#ArialMT-72-8" + x="66.699219" + id="use71-9" /><use + xlink:href="#ArialMT-6f-47" + x="100" + id="use72-6" /><use + xlink:href="#ArialMT-62-3" + x="155.61523" + id="use73-2" /><use + xlink:href="#ArialMT-61-0" + x="211.23047" + id="use74-5" /><use + xlink:href="#ArialMT-62-3" + x="266.8457" + id="use75-5" /><use + xlink:href="#ArialMT-69-41" + x="322.46094" + id="use76-0" /><use + xlink:href="#ArialMT-6c-00" + x="344.67773" + id="use77-5" /><use + xlink:href="#ArialMT-69-41" + x="366.89453" + id="use78-2" /><use + xlink:href="#ArialMT-74-7" + x="389.11133" + id="use79-7" /><use + xlink:href="#ArialMT-79-3" + x="416.89453" + id="use80-7" /></g></g></g><g + id="line2d_57"><path + d="m 54,111.23121 33.594948,12.81243 44.410102,19.65917 33.59495,17.67133 33.59495,21.12429 19.65178,14.58068 13.94316,11.67955 10.81516,10.01296 8.83663,8.92752 7.47126,8.16635 6.4719,7.60656 5.70862,7.1815 5.10654,6.85179 8.83663,12.97996 10.81515,18.32009 8.83663,17.6292 5.10654,11.63245 4.61942,11.67688 6.19573,17.8175 4.61943,15.30863 4.2172,15.86428 7.47126,33.39498 L 342.08115,433" + clip-path="url(#pfddeee6810-6)" + style="fill:none;stroke:#00b8c8;stroke-width:4;stroke-linecap:square" + id="path80" /></g><g + id="line2d_58"><path + d="M 54,51.84 388.8,301.32" + clip-path="url(#pfddeee6810-6)" + style="fill:none;stroke:#0c2340;stroke-width:4;stroke-dasharray:14.8, 6.4;stroke-dashoffset:0" + id="path81" /></g><g + id="patch_3-9"><path + d="M 54,384.48 V 51.84" + style="fill:none;stroke:#000000;stroke-width:2;stroke-linecap:square;stroke-linejoin:miter" + id="path82" /></g><g + id="patch_4-3"><path + d="M 388.8,384.48 V 51.84" + style="fill:none;stroke:#000000;stroke-width:2;stroke-linecap:square;stroke-linejoin:miter" + id="path83" /></g><g + id="patch_5-5"><path + d="M 54,384.48 H 388.8" + style="fill:none;stroke:#000000;stroke-width:2;stroke-linecap:square;stroke-linejoin:miter" + id="path84" /></g><g + id="patch_6-9"><path + d="M 54,51.84 H 388.8" + style="fill:none;stroke:#000000;stroke-width:2;stroke-linecap:square;stroke-linejoin:miter" + id="path85" /></g></g></g></g></svg> diff --git a/book/figures/cover_README.txt b/book/figures/cover_README.txt new file mode 100644 index 0000000..9009a0e --- /dev/null +++ b/book/figures/cover_README.txt @@ -0,0 +1,17 @@ + +store notebook in `./book/figures/` and rest of files in `./book/book/figures/` + +**note** a video was made to illustrate gradient fill. stored in robert's dropbox for now + +- figures created in cover ipynb + - make axes and fig transparent + - export without background in savefig +- created doc in inkscape, set size to 210mmx210mm per OIT requirements +- OIT requires 210mmx210mm and at least 300 pixels, which is 36 dpi or 36x36 dpi +- Default inkscape was 96 dpi, which is 794x794 pixels +- import svg's to inkscape +- position figures +- apply gradient to lines +- delete three points +- export to png (default 96dpi is 100KB) +- export cover_small.png (45 dpi is 35KB) >>> for book logo \ No newline at end of file diff --git a/book/figures/cover_bi.svg b/book/figures/cover_bi.svg new file mode 100644 index 0000000..5154d31 --- /dev/null +++ b/book/figures/cover_bi.svg @@ -0,0 +1,4181 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="432pt" height="432pt" viewBox="0 0 432 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2024-02-22T06:19:21.170713</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.8.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 432 432 +L 432 0 +L 0 0 +L 0 432 +z +" style="fill: none"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 55.08 384.48 +L 387.72 384.48 +L 387.72 51.84 +L 55.08 51.84 +L 55.08 384.48 +z +" style="fill: none"/> + </g> + <g id="PathCollection_1"> + <defs> + <path id="C0_0_44cb9d1369" d="M 0 1.581139 +C 0.419323 1.581139 0.821528 1.41454 1.118034 1.118034 +C 1.41454 0.821528 1.581139 0.419323 1.581139 -0 +C 1.581139 -0.419323 1.41454 -0.821528 1.118034 -1.118034 +C 0.821528 -1.41454 0.419323 -1.581139 0 -1.581139 +C -0.419323 -1.581139 -0.821528 -1.41454 -1.118034 -1.118034 +C -1.41454 -0.821528 -1.581139 -0.419323 -1.581139 0 +C -1.581139 0.419323 -1.41454 0.821528 -1.118034 1.118034 +C -0.821528 1.41454 -0.419323 1.581139 0 1.581139 +z +"/> + </defs> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="108.715478" y="311.228537" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.676724" y="285.889456" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.848168" y="321.380808" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.240641" y="219.393953" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="155.890949" y="287.538871" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.80758" y="227.988822" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="106.197247" y="315.574274" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.423091" y="280.947097" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.981728" y="241.953018" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="183.214322" y="208.954778" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.940777" y="315.335647" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="217.353856" y="160.713894" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.773745" y="291.386774" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="161.493414" y="194.125921" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.481703" y="268.320643" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.591824" y="276.082776" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.190982" y="227.245256" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.308672" y="292.067596" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.292652" y="288.268265" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="111.042021" y="315.526562" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.700273" y="259.868767" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="107.243989" y="271.228751" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.406084" y="255.602721" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="167.499859" y="284.01793" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.699122" y="280.882745" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="179.429679" y="287.627004" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="154.479793" y="234.336013" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.529116" y="261.289771" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.780314" y="305.332616" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.01598" y="259.547587" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.81429" y="289.574091" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.663366" y="310.691299" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.474961" y="311.157914" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.375237" y="300.375106" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="164.455895" y="247.777928" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.87146" y="253.928732" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.741182" y="294.647412" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.253821" y="327.557675" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.69973" y="270.285659" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.080588" y="312.441353" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.999544" y="254.724415" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="165.378692" y="330.500031" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.585341" y="270.197798" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="182.837661" y="275.000278" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="173.750801" y="205.69516" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.93225" y="264.263248" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="154.766451" y="251.377072" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.23351" y="312.423181" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="104.818263" y="274.923686" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="108.405646" y="309.128874" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.311091" y="303.796146" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="176.948309" y="189.989517" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.957008" y="258.41778" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="185.402166" y="222.218496" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="107.117097" y="328.777587" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="102.661119" y="327.02581" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.077977" y="250.861891" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.331799" y="249.185695" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.999124" y="279.700131" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="175.390496" y="270.893628" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.230407" y="237.606078" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.039995" y="265.461534" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.10479" y="296.145203" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.253873" y="305.247943" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.068409" y="295.553256" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.95835" y="222.788524" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="169.101737" y="231.748415" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.537947" y="223.378277" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.996756" y="295.611085" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.524975" y="275.602104" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="108.823306" y="310.342768" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.31547" y="283.258583" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.835126" y="197.224152" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.018489" y="294.290081" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.121432" y="238.976883" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.107787" y="274.899755" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="178.826877" y="191.777422" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.631314" y="271.590984" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.729332" y="260.148587" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.371393" y="264.165895" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.8325" y="256.400683" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="158.881342" y="216.455584" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.774577" y="243.692444" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="177.284318" y="263.292329" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.261243" y="281.635646" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.48743" y="293.126135" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="187.461041" y="266.687378" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.170619" y="300.10378" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.213011" y="274.222565" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.22014" y="310.264564" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="158.549551" y="339.40766" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.807641" y="220.680272" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.344183" y="300.741109" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.259101" y="323.518733" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.436838" y="275.193059" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="214.015989" y="242.944664" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.165681" y="312.283177" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="182.461405" y="245.618235" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="178.49213" y="274.760047" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.735514" y="304.56383" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="171.287207" y="146.568506" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.728781" y="276.565035" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="205.970275" y="270.806101" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.797376" y="246.551696" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.920123" y="242.054425" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.755339" y="249.28397" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.123073" y="246.420549" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.12934" y="277.269546" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="104.272174" y="276.7902" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.873344" y="303.39657" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="171.265963" y="243.490869" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.260412" y="267.312423" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="168.369812" y="170.977821" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="155.636226" y="261.866287" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="165.290267" y="246.622328" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="177.875711" y="207.314086" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.309906" y="247.050172" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.767766" y="315.953455" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="194.306425" y="238.015085" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="168.104574" y="204.916464" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.180497" y="265.120644" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="213.94657" y="236.288677" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.206501" y="188.802606" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.546804" y="281.998708" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.604074" y="286.687575" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.685535" y="254.323622" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="154.583115" y="223.265733" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.109501" y="311.02342" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.710611" y="231.288283" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="108.134329" y="298.372598" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="165.133475" y="245.096396" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.873661" y="285.260288" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="121.801556" y="308.162882" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="167.900263" y="232.365354" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.925838" y="249.55938" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.954112" y="277.541584" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="185.29325" y="207.030215" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.549427" y="203.12489" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="164.92094" y="230.935223" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.009297" y="296.846033" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.991643" y="302.597865" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.264463" y="232.980279" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.859197" y="273.342428" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.703012" y="298.036989" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.288532" y="291.38166" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.217811" y="258.220057" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="180.53085" y="231.963822" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.331506" y="288.386119" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.427772" y="293.873815" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="158.715054" y="180.244827" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.698289" y="294.500603" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="157.823137" y="248.408588" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="111.539777" y="322.619641" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="176.31853" y="194.405628" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.427801" y="278.717641" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="197.691456" y="133.003013" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.880311" y="183.644207" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="109.506492" y="301.695834" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="201.774324" y="180.048091" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.339019" y="262.011665" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.279074" y="295.934935" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="190.828341" y="131.035465" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.723779" y="240.548918" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.742587" y="290.417226" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.712826" y="224.443996" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="177.494992" y="259.905408" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="197.22396" y="233.437826" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="103.07355" y="326.312541" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.77108" y="290.260054" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="205.281105" y="207.819141" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="155.82711" y="200.311189" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.177351" y="256.591134" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="184.256378" y="261.396405" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.467953" y="312.855503" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="172.064608" y="239.255755" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.115559" y="233.266827" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.931319" y="280.581963" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.974523" y="316.682591" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.624403" y="280.729924" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.737013" y="216.899079" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.606478" y="265.975811" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.654666" y="251.587678" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.27507" y="222.721204" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="177.55671" y="178.77171" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.728676" y="281.661915" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.818496" y="235.494925" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.704618" y="263.753103" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="152.833175" y="201.141523" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="159.10923" y="239.724586" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="187.938359" y="232.919761" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="181.862206" y="250.143076" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.953567" y="292.207472" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.003807" y="258.332127" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.364039" y="264.593627" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.388266" y="230.979314" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="178.391909" y="31.90034" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.759015" y="224.469408" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.450894" y="210.322576" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="167.592253" y="221.285544" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.313443" y="284.167577" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.23345" y="232.999787" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="173.956564" y="171.719964" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.01316" y="294.508271" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.597087" y="261.903337" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.096857" y="213.130194" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="103.379745" y="322.391454" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.076959" y="271.19778" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="171.560499" y="281.971876" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.809669" y="289.677523" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.114308" y="312.201604" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.931281" y="148.179973" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="210.278783" y="166.538724" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.827346" y="265.756978" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.854986" y="270.825372" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="146.250918" y="334.161974" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.934031" y="178.004053" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="180.951666" y="122.215929" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.707357" y="239.166413" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.167926" y="239.422179" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="161.475907" y="255.598332" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="92.946344" y="332.554552" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.652682" y="290.318501" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.902855" y="252.520138" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.113958" y="204.769253" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.862775" y="313.804339" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="169.240913" y="219.32728" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.976178" y="294.689854" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="181.69007" y="201.432981" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="192.809676" y="256.368226" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.227736" y="245.447271" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="200.377148" y="54.038874" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.786966" y="290.858168" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.346534" y="188.405365" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.825682" y="319.709871" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="165.237972" y="257.290522" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="102.51721" y="200.077676" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="197.213592" y="184.445936" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.783255" y="250.57439" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.236117" y="308.303683" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="170.432217" y="166.285841" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.357301" y="307.5257" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.204299" y="293.677342" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.297546" y="280.558235" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.884969" y="220.854479" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.6737" y="293.427156" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="169.514077" y="231.235188" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.222466" y="223.149152" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.054116" y="322.642926" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.6364" y="169.384043" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.376628" y="299.193864" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.737238" y="263.048319" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="208.806251" y="251.825901" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.697225" y="270.24514" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="176.129322" y="254.105271" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.741108" y="304.987516" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.109587" y="224.552872" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="179.233181" y="225.54491" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.534835" y="171.055153" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="146.98134" y="224.963617" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.783594" y="275.397163" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.307564" y="287.346346" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.685967" y="190.239057" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.964637" y="261.525521" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.468353" y="257.864548" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.469699" y="279.957615" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.182934" y="224.501851" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="223.35019" y="216.31087" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.853388" y="297.340132" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.971336" y="250.623517" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.47936" y="250.687449" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.336936" y="262.918174" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.109139" y="194.419543" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.155134" y="271.562117" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.651043" y="305.662501" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.228756" y="308.702955" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="177.433683" y="197.652217" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.099121" y="292.283171" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="180.709697" y="200.655534" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="153.480317" y="256.449594" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.824456" y="268.501197" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="166.281093" y="272.00994" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="144.512461" y="249.746928" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="168.245973" y="196.548044" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="161.895585" y="218.50533" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.036783" y="211.318972" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="171.845025" y="189.534039" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.129514" y="294.571188" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.521065" y="241.16441" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="169.56165" y="263.978739" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.94208" y="297.867392" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.657053" y="227.460898" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.307109" y="219.467154" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.431869" y="305.864325" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.5002" y="309.29662" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="103.333849" y="277.196232" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.137541" y="241.896676" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="121.361514" y="263.551608" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.605568" y="263.937886" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.056479" y="280.663333" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.432142" y="198.569936" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.681393" y="268.226477" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.063488" y="277.260327" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.236592" y="286.916956" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.32818" y="284.359428" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.937425" y="288.499752" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.338628" y="260.907105" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.426317" y="317.298323" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.128354" y="242.267214" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="181.297281" y="216.540158" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="167.367056" y="249.203249" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.12828" y="296.975243" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="166.28006" y="200.427221" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="105.520695" y="309.899949" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="182.491095" y="228.454213" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="158.826394" y="229.117045" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="171.179264" y="232.951122" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="156.268099" y="235.398202" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="159.522635" y="40.777156" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="113.990939" y="317.160126" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.900679" y="296.995588" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="171.647756" y="206.430911" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="106.147142" y="256.375727" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="103.395328" y="276.929473" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.302974" y="257.621923" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.242499" y="277.899743" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.142937" y="246.095236" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.415425" y="272.180336" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="166.179308" y="207.232087" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.826282" y="285.072331" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.531276" y="299.183169" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.362431" y="321.564727" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="176.356495" y="261.619063" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="101.013246" y="319.804434" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.027321" y="281.410004" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.80077" y="269.705747" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="118.915104" y="283.326857" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.178489" y="135.272699" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.551058" y="263.332699" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.115151" y="178.436606" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="95.166396" y="308.748062" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="155.894954" y="222.244311" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.969491" y="238.255876" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.298491" y="275.429244" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.170312" y="304.370777" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.017743" y="272.038438" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.860255" y="315.074546" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.943795" y="219.537712" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="180.766487" y="252.342431" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.587804" y="273.422681" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.361421" y="211.994123" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.93272" y="244.125086" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.09699" y="300.074457" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="220.99276" y="252.176844" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.678618" y="223.732433" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="214.633461" y="195.809348" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.665356" y="228.786364" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.997529" y="227.826767" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.227908" y="275.848383" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.748874" y="191.416975" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="159.49828" y="304.122323" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.01551" y="228.999168" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.208047" y="281.122162" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.401132" y="313.629962" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="144.827457" y="268.16292" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="169.139538" y="242.915382" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="176.629221" y="263.720933" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="155.903223" y="256.864593" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.945245" y="211.515655" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="181.690984" y="192.654906" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="121.885819" y="304.141014" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="205.290939" y="209.122532" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="208.894749" y="221.572995" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="100.146994" y="318.254888" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="152.647437" y="258.128303" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.095445" y="243.916277" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="167.13218" y="236.069089" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.499522" y="309.976043" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.674563" y="236.521434" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.34217" y="238.413387" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.221233" y="158.681933" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="190.372966" y="285.536848" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="179.156879" y="232.681386" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.699939" y="244.863889" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.595477" y="313.916085" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="208.53561" y="183.996222" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.350464" y="299.265255" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.404979" y="313.999775" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="168.738402" y="257.702819" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.098945" y="259.58629" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.448872" y="239.904373" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="121.91231" y="256.935516" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.168407" y="300.111345" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.312667" y="225.588862" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="108.089188" y="299.667592" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="158.029527" y="285.177023" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.741126" y="238.225197" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.330599" y="239.53954" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.379887" y="304.459447" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.087416" y="205.742098" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.54676" y="225.092671" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.529142" y="268.76047" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="90.329517" y="267.86355" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="181.747095" y="165.649914" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="111.487866" y="254.261228" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.647461" y="255.359041" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.74522" y="293.711133" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="168.2196" y="265.124791" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="154.384151" y="123.881285" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="94.248086" y="307.478591" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.392069" y="308.383636" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.193872" y="269.009522" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="153.898659" y="295.752624" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="163.744907" y="187.690741" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.247137" y="308.787054" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.286349" y="278.164176" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="181.490966" y="188.18501" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="204.647192" y="267.296833" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.092617" y="293.952378" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.489954" y="297.914059" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.722814" y="288.984928" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.56829" y="276.319069" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.441095" y="281.862919" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.004838" y="271.961411" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.308433" y="233.571074" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.571737" y="284.882618" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="157.332759" y="228.203731" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="221.063064" y="174.001874" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.508283" y="257.437393" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="273.91854" y="83.910009" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.313082" y="236.39575" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.693473" y="252.587881" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.818489" y="238.560597" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.540392" y="274.332547" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.173427" y="320.891678" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.234883" y="202.701775" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.528294" y="273.302812" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.041878" y="282.994872" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="113.616816" y="314.673745" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="176.23788" y="221.139302" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.091296" y="285.385359" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.604025" y="233.85259" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.213215" y="248.072386" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.248021" y="220.266954" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="161.952397" y="301.137964" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.345591" y="265.149232" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="161.78616" y="275.135062" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="178.023429" y="254.876286" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="164.515294" y="262.897727" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="162.382288" y="205.482542" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.612667" y="240.874995" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.186037" y="271.293249" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="163.851777" y="277.302971" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.820027" y="261.624594" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.169237" y="244.273015" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.509842" y="206.183559" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.221837" y="306.869483" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.72802" y="275.869016" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.631774" y="269.96365" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.792634" y="265.763952" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.181209" y="213.396595" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.014158" y="299.280445" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.154969" y="287.44619" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.930441" y="210.774278" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.270435" y="284.065922" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.07681" y="238.672618" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="108.501949" y="289.843896" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="156.251488" y="212.470455" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="200.065458" y="198.764664" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="173.610566" y="236.991451" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.515103" y="276.326484" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.076906" y="270.023585" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="159.325746" y="262.903986" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="95.05836" y="308.966246" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="156.232864" y="252.749159" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.465822" y="302.140546" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="161.011228" y="170.015847" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="164.240362" y="247.963553" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="146.660693" y="303.068694" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="118.678334" y="308.658002" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.717294" y="278.01724" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="99.932706" y="333.660955" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="168.437604" y="279.019855" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="170.2364" y="276.620386" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.42252" y="266.816074" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.556017" y="237.954321" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.042195" y="282.579273" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.886691" y="278.50018" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="166.885741" y="143.942039" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="201.641989" y="157.903369" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="158.214158" y="240.345717" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.774106" y="242.559901" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.546701" y="182.376044" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.649762" y="302.055125" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="109.846864" y="286.716284" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.456421" y="279.935993" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="169.367113" y="209.561419" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.968258" y="311.992524" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="159.220584" y="255.978419" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="99.26117" y="269.478195" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="202.969526" y="115.981271" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.551785" y="340.720394" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.722585" y="276.588614" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.772192" y="287.159115" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="102.10153" y="334.642394" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="109.287031" y="289.755826" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.314201" y="309.841668" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="170.310773" y="259.282736" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="153.004115" y="212.478494" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.731328" y="271.777976" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.064159" y="324.651414" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="185.499894" y="177.447817" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.794375" y="255.821791" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.125253" y="280.779264" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.025398" y="305.423881" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.859503" y="262.749862" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.019027" y="266.069625" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="108.157147" y="310.262108" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.920559" y="289.79962" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.649665" y="250.320927" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.666844" y="254.881577" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.32096" y="344.83591" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.901756" y="287.944191" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.134111" y="268.067652" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="155.581926" y="276.540524" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="191.1732" y="290.803196" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.266319" y="268.941724" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.016254" y="235.815993" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.97951" y="307.653272" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="111.692191" y="286.343599" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.499995" y="259.679076" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.996959" y="275.229618" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="167.661878" y="229.235673" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="155.414979" y="236.749186" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.476491" y="299.447408" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.261777" y="258.905625" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.414995" y="279.743919" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.293503" y="283.556584" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.273977" y="216.746722" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.918481" y="278.205242" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.907637" y="293.89562" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.121763" y="269.933607" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.313908" y="262.008354" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="111.864121" y="253.14415" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.144903" y="270.691069" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.162731" y="294.151093" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.320413" y="257.836655" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="226.190942" y="210.316507" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.562739" y="298.110353" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.470151" y="300.156554" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="99.631953" y="286.590997" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.662766" y="305.806202" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="202.337496" y="199.763264" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.015308" y="245.870469" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.464106" y="255.421187" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="159.198422" y="309.241657" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.09288" y="280.823088" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="182.666352" y="259.324891" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="157.100609" y="115.567338" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="154.603065" y="270.844884" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.449874" y="274.288922" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.023333" y="308.147184" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.460181" y="271.526631" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.685567" y="244.318408" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.58438" y="280.494646" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.70175" y="218.289974" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="162.006032" y="299.624994" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.751901" y="224.924261" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="206.497235" y="156.960762" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.258543" y="267.044948" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="156.709403" y="275.948197" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.607001" y="259.11849" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.299415" y="291.682773" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.840269" y="242.645028" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.52724" y="257.561639" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.386065" y="294.464664" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.922646" y="284.440158" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.304946" y="304.009497" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="101.759246" y="252.639249" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="144.294938" y="275.297487" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.901102" y="302.080248" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.806053" y="225.13948" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.144768" y="211.612465" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.567237" y="302.019589" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.110101" y="284.593015" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.738283" y="154.917918" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="100.128202" y="334.522426" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.305574" y="251.881212" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="183.806602" y="164.308383" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="284.866682" y="102.409696" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.367638" y="250.325085" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.223621" y="307.432978" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="156.564189" y="183.186652" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="158.26818" y="258.894271" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.7075" y="301.524613" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.224816" y="295.106013" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.349812" y="250.440436" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.863284" y="280.102761" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="166.76435" y="210.625589" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.756043" y="213.963478" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="113.783947" y="202.013754" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.036381" y="172.575296" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="215.863852" y="153.675977" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.40484" y="291.323084" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.377789" y="244.891021" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.46208" y="237.676258" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.292334" y="298.353721" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.174309" y="300.345866" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="158.256274" y="245.934681" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="201.557066" y="205.099706" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="84.291718" y="335.183935" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.122346" y="128.42441" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.864717" y="289.599789" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="102.007688" y="311.705112" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.644177" y="232.468083" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="183.326244" y="218.117174" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.209059" y="246.977643" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="161.18015" y="217.456304" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.873627" y="269.962716" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="146.104066" y="250.09987" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="169.227472" y="229.988182" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="209.034034" y="173.552992" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.991625" y="263.998631" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="153.530658" y="279.849921" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.89417" y="312.789438" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.295803" y="232.411263" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.58576" y="261.196627" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="109.929714" y="329.854885" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="157.761181" y="308.627099" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="280.907336" y="245.773308" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.606367" y="247.397605" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="179.682399" y="280.295896" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.00781" y="219.677471" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.718499" y="255.366285" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="146.47457" y="245.835344" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.305281" y="334.873483" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="170.504974" y="103.566489" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.534929" y="313.735378" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="182.242745" y="219.356725" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.708022" y="285.385281" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.356943" y="257.16881" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.311825" y="289.724467" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="156.11126" y="218.195289" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="186.477495" y="246.800601" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="105.193411" y="242.278679" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="152.79463" y="272.453231" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.283318" y="320.829189" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.876638" y="244.97821" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="107.34908" y="314.719666" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.79479" y="287.540068" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="118.55736" y="28.069815" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="163.774867" y="252.957838" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="96.986044" y="333.043712" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="179.87149" y="181.101518" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="152.556898" y="218.18975" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.789859" y="286.288225" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="111.587358" y="334.223171" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="108.683722" y="317.334302" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="170.254179" y="263.81044" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.348117" y="280.492126" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="165.22055" y="205.059708" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.896307" y="296.394822" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="166.329144" y="206.71938" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="106.286716" y="305.229569" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.208147" y="274.747933" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="165.531216" y="213.810358" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.325385" y="308.670749" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.845862" y="321.3386" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="159.424359" y="233.673066" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="104.243771" y="235.256369" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="210.022047" y="217.949414" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="181.407229" y="280.965343" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.81802" y="272.236003" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="146.162985" y="301.636416" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="146.263776" y="296.096169" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.413849" y="239.206206" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="153.701092" y="270.074257" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="162.65054" y="237.634935" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.165201" y="299.918962" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="146.177603" y="289.538247" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.695618" y="251.037912" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.588231" y="315.959658" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="164.451966" y="237.395923" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.686006" y="294.21071" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="177.320895" y="160.726731" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.471401" y="347.156628" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.178649" y="306.6132" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="248.362558" y="149.988227" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="167.44957" y="210.87109" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.847226" y="257.465809" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.42011" y="311.214903" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.932488" y="255.744389" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="153.852647" y="281.966078" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="193.63955" y="155.158818" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.938195" y="274.367215" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.800234" y="281.517682" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.771605" y="297.196071" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.432243" y="264.661383" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.822636" y="265.13103" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="209.445455" y="174.198092" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.198953" y="230.792198" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.92355" y="311.041193" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.244419" y="260.376549" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.576771" y="259.505804" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.758161" y="262.986525" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.62392" y="300.719487" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="99.726587" y="288.641186" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.844399" y="266.66311" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.674471" y="264.056521" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.433258" y="256.938498" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.167278" y="279.087299" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.29765" y="293.817039" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="118.749771" y="266.609569" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.00058" y="187.552437" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="146.421781" y="245.92955" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="156.734284" y="265.584424" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.207802" y="258.429249" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.236445" y="194.315836" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.298385" y="289.418724" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="164.411321" y="231.262585" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.695997" y="259.391515" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="113.081757" y="257.876701" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="163.488329" y="158.996509" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.607501" y="245.621087" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="114.246937" y="300.256189" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.411351" y="259.12375" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.803982" y="295.206511" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.616064" y="267.108217" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="179.460092" y="204.587767" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="170.338308" y="204.83813" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.871247" y="310.97379" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="167.515691" y="252.307966" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="113.945" y="322.013618" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.28469" y="309.922246" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="210.413877" y="118.205518" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="106.408043" y="324.07933" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.452779" y="289.456966" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="137.642879" y="318.629216" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="213.455691" y="176.718003" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.851953" y="299.165904" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.194411" y="281.768093" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.960054" y="233.197533" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="175.820728" y="191.820862" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="113.677539" y="302.76889" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="165.453328" y="123.76342" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.742357" y="224.356863" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.865035" y="75.723266" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.39728" y="284.541486" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="162.519974" y="184.976487" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.37375" y="284.557824" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.777683" y="271.872078" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="152.015487" y="197.193578" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.336636" y="309.077736" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.525556" y="268.563542" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="170.123696" y="246.178163" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.447249" y="243.794298" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="177.811871" y="207.618781" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="165.346746" y="243.675295" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="141.88835" y="155.693653" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.417275" y="205.29514" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="162.147263" y="217.099584" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="168.310144" y="218.24929" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.798577" y="260.276001" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.905589" y="267.843191" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.964768" y="274.567192" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.151703" y="254.261915" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="176.313965" y="256.474635" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="118.148724" y="299.745857" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.580535" y="295.8342" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.123838" y="227.804937" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="165.76461" y="164.75993" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.125006" y="258.808565" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="164.607415" y="245.104241" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.991555" y="270.473559" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="163.237351" y="238.404555" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="204.502342" y="196.021042" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.86197" y="233.069728" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="187.780873" y="222.315933" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.381457" y="312.955899" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="159.825588" y="280.927776" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.128441" y="267.375541" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="164.091293" y="194.330675" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.821039" y="294.373094" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.950333" y="278.173054" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.549111" y="277.768346" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="181.163547" y="231.805457" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="167.585067" y="206.232583" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="161.548718" y="198.021935" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="111.34861" y="273.071819" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.750839" y="326.413212" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.273649" y="188.095044" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.464513" y="305.262791" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.21211" y="272.045294" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="202.134487" y="189.226497" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="111.291438" y="308.478817" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="103.162309" y="298.858916" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.073337" y="261.259785" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.0837" y="335.948331" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.760133" y="271.911249" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="135.387603" y="236.703651" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.197842" y="300.955506" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.283187" y="148.57111" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.752209" y="296.410254" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="177.026296" y="237.680939" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.4383" y="270.45207" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="157.774378" y="261.05765" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="203.650019" y="222.331983" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.721129" y="290.049774" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.337025" y="258.328921" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.809711" y="258.356913" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="154.074757" y="232.929102" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.933525" y="225.743122" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="189.535951" y="219.980192" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.868908" y="246.04179" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.630992" y="255.001667" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="109.965764" y="294.695515" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="144.370571" y="226.945622" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.148779" y="286.099713" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="197.205261" y="199.463897" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="217.722291" y="191.339361" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.760144" y="304.577196" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.180874" y="305.225836" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.59255" y="259.711496" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="146.782831" y="241.792258" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="153.080755" y="288.982939" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="110.802807" y="314.807214" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.215246" y="279.070238" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.00121" y="290.773754" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.689527" y="255.337534" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.719914" y="258.731377" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.244988" y="282.102709" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="182.828456" y="204.927888" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.284592" y="283.353984" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="154.204865" y="203.709443" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="173.494531" y="218.901464" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="162.846021" y="200.106592" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.955776" y="214.751685" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.225644" y="310.379515" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="156.537872" y="248.943011" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.960918" y="277.08792" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="185.834299" y="216.725826" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.723793" y="235.341675" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.402264" y="233.123076" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.006637" y="282.55489" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="161.462167" y="272.72422" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="182.948347" y="285.517506" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.352281" y="333.915827" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.65101" y="304.559625" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.040532" y="276.664957" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.371464" y="285.128957" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="171.085324" y="273.088675" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.925116" y="217.100643" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="163.344992" y="253.29173" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.09264" y="279.658382" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.601008" y="294.683838" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="121.294497" y="240.129943" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="153.057739" y="275.044793" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="197.567244" y="259.849211" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.192808" y="315.900112" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="234.550464" y="270.94108" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.177221" y="273.728845" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="108.892174" y="306.445045" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.726286" y="279.639392" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="158.716716" y="130.184171" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="177.706624" y="39.13215" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="225.34174" y="204.36957" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="165.312065" y="215.399277" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.71912" y="260.204026" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.602895" y="296.718542" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.103649" y="286.775454" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="121.113908" y="281.276414" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.293949" y="273.817054" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.735834" y="290.06515" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.260203" y="294.873304" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="160.182492" y="254.782836" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="163.895577" y="233.923883" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.311605" y="218.825174" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="143.748537" y="264.337927" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.005914" y="299.743652" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.465693" y="169.941138" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.744052" y="228.670254" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="100.61104" y="318.960289" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.072712" y="252.166824" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.122202" y="270.805101" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="115.328278" y="254.717375" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="176.661259" y="235.654935" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="154.691518" y="306.714963" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="155.986156" y="213.873665" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.237957" y="286.809364" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="113.103053" y="262.906576" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.486799" y="301.523854" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="173.661186" y="212.250416" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.60528" y="271.948875" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.753592" y="221.485009" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.481662" y="306.927225" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="161.823844" y="237.926841" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.688629" y="282.916971" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="121.808359" y="262.90603" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="175.377412" y="106.188378" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.024886" y="318.32744" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.600668" y="226.756414" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.022498" y="256.646116" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.694371" y="281.97878" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="172.067432" y="290.579566" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="121.49166" y="285.872367" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="125.743013" y="295.104587" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="144.885234" y="295.12932" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.188243" y="216.659035" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.962837" y="239.189133" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.152051" y="259.633108" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.27414" y="270.200695" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="121.283127" y="230.918262" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="188.73195" y="265.475167" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="152.070964" y="261.732582" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.859443" y="239.428468" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="123.425297" y="311.085343" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="174.864909" y="251.272296" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="139.715148" y="198.163331" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.028432" y="231.157643" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.753744" y="282.297302" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.380751" y="307.405846" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.318898" y="247.962326" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.510481" y="279.700852" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.219668" y="304.707462" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.372631" y="260.556203" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.218865" y="250.703696" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="174.939732" y="289.027179" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="113.748436" y="286.783989" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.049489" y="305.866567" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="149.414784" y="247.853307" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="210.384341" y="160.502766" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="142.326074" y="169.677323" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.689745" y="289.479136" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="172.154391" y="227.164759" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.014594" y="288.584266" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="132.123464" y="281.408743" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="121.052195" y="287.855663" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.18555" y="258.979488" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="144.823813" y="106.72539" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.273422" y="275.361297" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="140.61456" y="282.364326" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.402359" y="290.641964" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.375709" y="272.558431" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.406074" y="241.880671" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="113.441296" y="322.612564" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="153.678634" y="173.053803" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.479663" y="307.437141" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.114634" y="303.880119" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.430645" y="263.950403" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="131.214572" y="305.968489" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.537099" y="284.003295" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="173.901954" y="218.779223" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="163.139967" y="217.338796" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="155.019202" y="286.553638" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="102.218736" y="327.123559" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="192.737264" y="285.418761" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="174.904954" y="243.937629" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="157.162758" y="238.535486" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.413489" y="285.434796" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="130.981731" y="294.184356" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="121.085247" y="227.417572" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="122.613182" y="271.741616" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="118.620395" y="295.321725" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.220583" y="249.784822" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="167.754392" y="232.071956" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="127.799143" y="290.968023" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="156.373903" y="263.896271" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="167.109502" y="261.421454" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="116.894597" y="265.093475" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="112.851557" y="302.450665" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="117.943797" y="286.83109" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="170.179055" y="223.290496" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.438609" y="236.006173" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.179389" y="269.337364" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="126.595192" y="292.599284" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.551382" y="280.477221" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="119.985832" y="240.10972" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="133.385709" y="277.343472" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="129.285107" y="267.286833" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="190.371692" y="193.810024" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="120.837141" y="267.081783" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.409086" y="274.738942" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="124.306428" y="226.970536" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="147.042961" y="258.968856" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="150.442727" y="280.210128" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="145.970055" y="245.872655" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="134.967302" y="246.854867" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="187.978683" y="206.316741" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="148.253928" y="203.429018" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="165.753812" y="264.93485" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="138.345631" y="246.089334" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="151.577883" y="216.920427" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="155.497419" y="155.675623" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="169.804387" y="197.152332" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="136.289167" y="273.823021" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="181.899131" y="211.326832" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.859493" y="295.702439" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="168.236789" y="249.940028" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="155.208704" y="314.835167" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="128.637031" y="239.97623" style="fill: none; stroke: #696969"/> + </g> + <g clip-path="url(#pa8ac0eece6)"> + <use xlink:href="#C0_0_44cb9d1369" x="144.183275" y="212.524095" style="fill: none; stroke: #696969"/> + </g> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="m0ca75668e4" d="M 0 0 +L 0 3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m0ca75668e4" x="55.08" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#m0ca75668e4" x="110.52" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#m0ca75668e4" x="165.96" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#m0ca75668e4" x="221.4" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <g> + <use xlink:href="#m0ca75668e4" x="276.84" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#m0ca75668e4" x="332.28" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_7"> + <g> + <use xlink:href="#m0ca75668e4" x="387.72" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="text_1"> + <!-- Random Variable $X_1$ --> + <g transform="translate(148.04 406.9325) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-52" d="M 503 0 +L 503 4581 +L 2534 4581 +Q 3147 4581 3465 4457 +Q 3784 4334 3975 4021 +Q 4166 3709 4166 3331 +Q 4166 2844 3850 2509 +Q 3534 2175 2875 2084 +Q 3116 1969 3241 1856 +Q 3506 1613 3744 1247 +L 4541 0 +L 3778 0 +L 3172 953 +Q 2906 1366 2734 1584 +Q 2563 1803 2427 1890 +Q 2291 1978 2150 2013 +Q 2047 2034 1813 2034 +L 1109 2034 +L 1109 0 +L 503 0 +z +M 1109 2559 +L 2413 2559 +Q 2828 2559 3062 2645 +Q 3297 2731 3419 2920 +Q 3541 3109 3541 3331 +Q 3541 3656 3305 3865 +Q 3069 4075 2559 4075 +L 1109 4075 +L 1109 2559 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-61" d="M 2588 409 +Q 2275 144 1986 34 +Q 1697 -75 1366 -75 +Q 819 -75 525 192 +Q 231 459 231 875 +Q 231 1119 342 1320 +Q 453 1522 633 1644 +Q 813 1766 1038 1828 +Q 1203 1872 1538 1913 +Q 2219 1994 2541 2106 +Q 2544 2222 2544 2253 +Q 2544 2597 2384 2738 +Q 2169 2928 1744 2928 +Q 1347 2928 1158 2789 +Q 969 2650 878 2297 +L 328 2372 +Q 403 2725 575 2942 +Q 747 3159 1072 3276 +Q 1397 3394 1825 3394 +Q 2250 3394 2515 3294 +Q 2781 3194 2906 3042 +Q 3031 2891 3081 2659 +Q 3109 2516 3109 2141 +L 3109 1391 +Q 3109 606 3145 398 +Q 3181 191 3288 0 +L 2700 0 +Q 2613 175 2588 409 +z +M 2541 1666 +Q 2234 1541 1622 1453 +Q 1275 1403 1131 1340 +Q 988 1278 909 1158 +Q 831 1038 831 891 +Q 831 666 1001 516 +Q 1172 366 1500 366 +Q 1825 366 2078 508 +Q 2331 650 2450 897 +Q 2541 1088 2541 1459 +L 2541 1666 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6e" d="M 422 0 +L 422 3319 +L 928 3319 +L 928 2847 +Q 1294 3394 1984 3394 +Q 2284 3394 2536 3286 +Q 2788 3178 2913 3003 +Q 3038 2828 3088 2588 +Q 3119 2431 3119 2041 +L 3119 0 +L 2556 0 +L 2556 2019 +Q 2556 2363 2490 2533 +Q 2425 2703 2258 2804 +Q 2091 2906 1866 2906 +Q 1506 2906 1245 2678 +Q 984 2450 984 1813 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-64" d="M 2575 0 +L 2575 419 +Q 2259 -75 1647 -75 +Q 1250 -75 917 144 +Q 584 363 401 755 +Q 219 1147 219 1656 +Q 219 2153 384 2558 +Q 550 2963 881 3178 +Q 1213 3394 1622 3394 +Q 1922 3394 2156 3267 +Q 2391 3141 2538 2938 +L 2538 4581 +L 3097 4581 +L 3097 0 +L 2575 0 +z +M 797 1656 +Q 797 1019 1065 703 +Q 1334 388 1700 388 +Q 2069 388 2326 689 +Q 2584 991 2584 1609 +Q 2584 2291 2321 2609 +Q 2059 2928 1675 2928 +Q 1300 2928 1048 2622 +Q 797 2316 797 1656 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6f" d="M 213 1659 +Q 213 2581 725 3025 +Q 1153 3394 1769 3394 +Q 2453 3394 2887 2945 +Q 3322 2497 3322 1706 +Q 3322 1066 3130 698 +Q 2938 331 2570 128 +Q 2203 -75 1769 -75 +Q 1072 -75 642 372 +Q 213 819 213 1659 +z +M 791 1659 +Q 791 1022 1069 705 +Q 1347 388 1769 388 +Q 2188 388 2466 706 +Q 2744 1025 2744 1678 +Q 2744 2294 2464 2611 +Q 2184 2928 1769 2928 +Q 1347 2928 1069 2612 +Q 791 2297 791 1659 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6d" d="M 422 0 +L 422 3319 +L 925 3319 +L 925 2853 +Q 1081 3097 1340 3245 +Q 1600 3394 1931 3394 +Q 2300 3394 2536 3241 +Q 2772 3088 2869 2813 +Q 3263 3394 3894 3394 +Q 4388 3394 4653 3120 +Q 4919 2847 4919 2278 +L 4919 0 +L 4359 0 +L 4359 2091 +Q 4359 2428 4304 2576 +Q 4250 2725 4106 2815 +Q 3963 2906 3769 2906 +Q 3419 2906 3187 2673 +Q 2956 2441 2956 1928 +L 2956 0 +L 2394 0 +L 2394 2156 +Q 2394 2531 2256 2718 +Q 2119 2906 1806 2906 +Q 1569 2906 1367 2781 +Q 1166 2656 1075 2415 +Q 984 2175 984 1722 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-20" transform="scale(0.015625)"/> + <path id="ArialMT-56" d="M 1803 0 +L 28 4581 +L 684 4581 +L 1875 1253 +Q 2019 853 2116 503 +Q 2222 878 2363 1253 +L 3600 4581 +L 4219 4581 +L 2425 0 +L 1803 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-72" d="M 416 0 +L 416 3319 +L 922 3319 +L 922 2816 +Q 1116 3169 1280 3281 +Q 1444 3394 1641 3394 +Q 1925 3394 2219 3213 +L 2025 2691 +Q 1819 2813 1613 2813 +Q 1428 2813 1281 2702 +Q 1134 2591 1072 2394 +Q 978 2094 978 1738 +L 978 0 +L 416 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-69" d="M 425 3934 +L 425 4581 +L 988 4581 +L 988 3934 +L 425 3934 +z +M 425 0 +L 425 3319 +L 988 3319 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-62" d="M 941 0 +L 419 0 +L 419 4581 +L 981 4581 +L 981 2947 +Q 1338 3394 1891 3394 +Q 2197 3394 2470 3270 +Q 2744 3147 2920 2923 +Q 3097 2700 3197 2384 +Q 3297 2069 3297 1709 +Q 3297 856 2875 390 +Q 2453 -75 1863 -75 +Q 1275 -75 941 416 +L 941 0 +z +M 934 1684 +Q 934 1088 1097 822 +Q 1363 388 1816 388 +Q 2184 388 2453 708 +Q 2722 1028 2722 1663 +Q 2722 2313 2464 2622 +Q 2206 2931 1841 2931 +Q 1472 2931 1203 2611 +Q 934 2291 934 1684 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6c" d="M 409 0 +L 409 4581 +L 972 4581 +L 972 0 +L 409 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-65" d="M 2694 1069 +L 3275 997 +Q 3138 488 2766 206 +Q 2394 -75 1816 -75 +Q 1088 -75 661 373 +Q 234 822 234 1631 +Q 234 2469 665 2931 +Q 1097 3394 1784 3394 +Q 2450 3394 2872 2941 +Q 3294 2488 3294 1666 +Q 3294 1616 3291 1516 +L 816 1516 +Q 847 969 1125 678 +Q 1403 388 1819 388 +Q 2128 388 2347 550 +Q 2566 713 2694 1069 +z +M 847 1978 +L 2700 1978 +Q 2663 2397 2488 2606 +Q 2219 2931 1791 2931 +Q 1403 2931 1139 2672 +Q 875 2413 847 1978 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-58" d="M 878 4666 +L 1516 4666 +L 2316 2981 +L 3763 4666 +L 4500 4666 +L 2578 2438 +L 3738 0 +L 3103 0 +L 2163 1966 +L 459 0 +L -275 0 +L 1906 2509 +L 878 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-52" transform="translate(0 0.09375)"/> + <use xlink:href="#ArialMT-61" transform="translate(72.216797 0.09375)"/> + <use xlink:href="#ArialMT-6e" transform="translate(127.832031 0.09375)"/> + <use xlink:href="#ArialMT-64" transform="translate(183.447266 0.09375)"/> + <use xlink:href="#ArialMT-6f" transform="translate(239.0625 0.09375)"/> + <use xlink:href="#ArialMT-6d" transform="translate(294.677734 0.09375)"/> + <use xlink:href="#ArialMT-20" transform="translate(377.978516 0.09375)"/> + <use xlink:href="#ArialMT-56" transform="translate(405.761719 0.09375)"/> + <use xlink:href="#ArialMT-61" transform="translate(472.460938 0.09375)"/> + <use xlink:href="#ArialMT-72" transform="translate(528.076172 0.09375)"/> + <use xlink:href="#ArialMT-69" transform="translate(561.376953 0.09375)"/> + <use xlink:href="#ArialMT-61" transform="translate(583.59375 0.09375)"/> + <use xlink:href="#ArialMT-62" transform="translate(639.208984 0.09375)"/> + <use xlink:href="#ArialMT-6c" transform="translate(694.824219 0.09375)"/> + <use xlink:href="#ArialMT-65" transform="translate(717.041016 0.09375)"/> + <use xlink:href="#ArialMT-20" transform="translate(772.65625 0.09375)"/> + <use xlink:href="#DejaVuSans-Oblique-58" transform="translate(800.439453 0.09375)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(868.945312 -16.3125) scale(0.7)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_8"> + <defs> + <path id="m4d2be22d86" d="M 0 0 +L -3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m4d2be22d86" x="55.08" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_9"> + <g> + <use xlink:href="#m4d2be22d86" x="55.08" y="340.128" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_10"> + <g> + <use xlink:href="#m4d2be22d86" x="55.08" y="295.776" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_11"> + <g> + <use xlink:href="#m4d2be22d86" x="55.08" y="251.424" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_12"> + <g> + <use xlink:href="#m4d2be22d86" x="55.08" y="207.072" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_13"> + <g> + <use xlink:href="#m4d2be22d86" x="55.08" y="162.72" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_14"> + <g> + <use xlink:href="#m4d2be22d86" x="55.08" y="118.368" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_15"> + <g> + <use xlink:href="#m4d2be22d86" x="55.08" y="74.016" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + </g> + <g id="text_2"> + <!-- Random Variable $X_2$ --> + <g transform="translate(40.9 291.52) rotate(-90) scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-52" transform="translate(0 0.09375)"/> + <use xlink:href="#ArialMT-61" transform="translate(72.216797 0.09375)"/> + <use xlink:href="#ArialMT-6e" transform="translate(127.832031 0.09375)"/> + <use xlink:href="#ArialMT-64" transform="translate(183.447266 0.09375)"/> + <use xlink:href="#ArialMT-6f" transform="translate(239.0625 0.09375)"/> + <use xlink:href="#ArialMT-6d" transform="translate(294.677734 0.09375)"/> + <use xlink:href="#ArialMT-20" transform="translate(377.978516 0.09375)"/> + <use xlink:href="#ArialMT-56" transform="translate(405.761719 0.09375)"/> + <use xlink:href="#ArialMT-61" transform="translate(472.460938 0.09375)"/> + <use xlink:href="#ArialMT-72" transform="translate(528.076172 0.09375)"/> + <use xlink:href="#ArialMT-69" transform="translate(561.376953 0.09375)"/> + <use xlink:href="#ArialMT-61" transform="translate(583.59375 0.09375)"/> + <use xlink:href="#ArialMT-62" transform="translate(639.208984 0.09375)"/> + <use xlink:href="#ArialMT-6c" transform="translate(694.824219 0.09375)"/> + <use xlink:href="#ArialMT-65" transform="translate(717.041016 0.09375)"/> + <use xlink:href="#ArialMT-20" transform="translate(772.65625 0.09375)"/> + <use xlink:href="#DejaVuSans-Oblique-58" transform="translate(800.439453 0.09375)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(868.945312 -16.3125) scale(0.7)"/> + </g> + </g> + </g> + <g id="QuadContourSet_1"> + <path clip-path="url(#pa8ac0eece6)" style="fill: none; stroke: #0000ff; stroke-width: 1.5"/> + <path d="M 105.48 335.417234 +L 108.84 335.885752 +L 112.2 335.563477 +L 115.56 334.672946 +L 117.036973 334.08 +L 118.92 333.450302 +L 122.28 331.966753 +L 124.52086 330.72 +L 125.64 330.162517 +L 129 328.21538 +L 130.298122 327.36 +L 132.36 326.079428 +L 135.270648 324 +L 135.72 323.686392 +L 139.08 321.207026 +L 139.805912 320.64 +L 142.44 318.565057 +L 143.981672 317.28 +L 145.8 315.709798 +L 147.813959 313.92 +L 149.16 312.650568 +L 151.367341 310.56 +L 152.52 309.376308 +L 154.676271 307.2 +L 155.88 305.857027 +L 157.754832 303.84 +L 159.24 302.042897 +L 160.602179 300.48 +L 162.6 297.861351 +L 163.205453 297.12 +L 165.62554 293.76 +L 165.96 293.230464 +L 167.924926 290.4 +L 169.32 288.003725 +L 169.943323 287.04 +L 171.834078 283.68 +L 172.68 281.897721 +L 173.528067 280.32 +L 175.065012 276.96 +L 176.04 274.394789 +L 176.387427 273.6 +L 177.643059 270.24 +L 178.667559 266.88 +L 179.4 263.937259 +L 179.521551 263.52 +L 180.321403 260.16 +L 180.943593 256.8 +L 181.408415 253.44 +L 181.729757 250.08 +L 181.916454 246.72 +L 181.973226 243.36 +L 181.901325 240 +L 181.698961 236.64 +L 181.361573 233.28 +L 180.881964 229.92 +L 180.250348 226.56 +L 179.454298 223.2 +L 179.4 223.001566 +L 178.566855 219.84 +L 177.494592 216.48 +L 176.209235 213.12 +L 176.04 212.719602 +L 174.77258 209.76 +L 173.074771 206.4 +L 172.68 205.689104 +L 171.117612 203.04 +L 169.32 200.377152 +L 168.796614 199.68 +L 166.000536 196.32 +L 165.96 196.27455 +L 162.6 193.114452 +L 162.388604 192.96 +L 159.24 190.761875 +L 156.752914 189.6 +L 155.88 189.198446 +L 152.52 188.321269 +L 149.16 188.162455 +L 145.8 188.716823 +L 143.549628 189.6 +L 142.44 189.993684 +L 139.08 191.977142 +L 137.926093 192.96 +L 135.72 194.736032 +L 134.254786 196.32 +L 132.36 198.307431 +L 131.322477 199.68 +L 129 202.755223 +L 128.819306 203.04 +L 126.660855 206.4 +L 125.64 208.027547 +L 124.682364 209.76 +L 122.890839 213.12 +L 122.28 214.283938 +L 121.210573 216.48 +L 119.667841 219.84 +L 118.92 221.534732 +L 118.198043 223.2 +L 116.809611 226.56 +L 115.56 229.91828 +L 115.559329 229.92 +L 114.241225 233.28 +L 113.070455 236.64 +L 112.2 239.371584 +L 111.976726 240 +L 110.808357 243.36 +L 109.779201 246.72 +L 108.865476 250.08 +L 108.84 250.173198 +L 107.783535 253.44 +L 106.832845 256.8 +L 105.997977 260.16 +L 105.48 262.426585 +L 105.159033 263.52 +L 104.226469 266.88 +L 103.419382 270.24 +L 102.715186 273.6 +L 102.12 276.809427 +L 102.081084 276.96 +L 101.245639 280.32 +L 100.532727 283.68 +L 99.920941 287.04 +L 99.392989 290.4 +L 98.935147 293.76 +L 98.76 295.192615 +L 98.408587 297.12 +L 97.891997 300.48 +L 97.481895 303.84 +L 97.171741 307.2 +L 96.962137 310.56 +L 96.86282 313.92 +L 96.896528 317.28 +L 97.106194 320.64 +L 97.568392 324 +L 98.419074 327.36 +L 98.76 328.271168 +L 99.890447 330.72 +L 102.12 333.548857 +L 102.955484 334.08 +L 105.48 335.417234 +z +" clip-path="url(#pa8ac0eece6)" style="fill: none; stroke: #001cf1; stroke-width: 1.5"/> + <path d="M 108.84 328.310405 +L 112.2 328.647619 +L 115.56 328.106826 +L 117.697948 327.36 +L 118.92 326.984014 +L 122.28 325.502862 +L 124.902591 324 +L 125.64 323.599336 +L 129 321.468339 +L 130.154093 320.64 +L 132.36 319.0594 +L 134.601523 317.28 +L 135.72 316.364831 +L 138.526325 313.92 +L 139.08 313.408668 +L 142.07604 310.56 +L 142.44 310.183962 +L 145.32672 307.2 +L 145.8 306.656641 +L 148.313111 303.84 +L 149.16 302.765156 +L 151.043772 300.48 +L 152.52 298.416855 +L 153.508751 297.12 +L 155.716924 293.76 +L 155.88 293.478042 +L 157.826878 290.4 +L 159.24 287.710013 +L 159.630017 287.04 +L 161.326421 283.68 +L 162.6 280.61143 +L 162.73657 280.32 +L 164.084933 276.96 +L 165.179271 273.6 +L 165.96 270.640756 +L 166.081756 270.24 +L 166.899473 266.88 +L 167.52035 263.52 +L 167.964043 260.16 +L 168.242442 256.8 +L 168.361161 253.44 +L 168.320501 250.08 +L 168.11604 246.72 +L 167.738932 243.36 +L 167.175986 240 +L 166.409551 236.64 +L 165.96 235.058639 +L 165.448919 233.28 +L 164.260613 229.92 +L 162.775414 226.56 +L 162.6 226.208932 +L 160.947612 223.2 +L 159.24 220.607449 +L 158.642107 219.84 +L 155.88 216.738713 +L 155.575959 216.48 +L 152.52 214.102528 +L 150.485201 213.12 +L 149.16 212.509393 +L 145.8 211.82417 +L 142.44 212.020551 +L 139.08 213.09645 +L 139.040954 213.12 +L 135.72 214.963142 +L 133.933508 216.48 +L 132.36 217.73853 +L 130.465182 219.84 +L 129 221.41417 +L 127.707429 223.2 +L 125.64 226.061069 +L 125.34023 226.56 +L 123.311065 229.92 +L 122.28 231.666837 +L 121.444752 233.28 +L 119.759731 236.64 +L 118.92 238.367952 +L 118.183105 240 +L 116.727768 243.36 +L 115.56 246.264673 +L 115.378779 246.72 +L 114.06017 250.08 +L 112.869766 253.44 +L 112.2 255.437265 +L 111.72001 256.8 +L 110.595852 260.16 +L 109.589747 263.52 +L 108.84 266.243717 +L 108.643014 266.88 +L 107.644869 270.24 +L 106.763913 273.6 +L 105.979661 276.96 +L 105.48 279.290715 +L 105.214819 280.32 +L 104.415719 283.68 +L 103.724746 287.04 +L 103.126448 290.4 +L 102.609395 293.76 +L 102.166302 297.12 +L 102.12 297.537543 +L 101.706074 300.48 +L 101.356046 303.84 +L 101.13646 307.2 +L 101.065368 310.56 +L 101.179161 313.92 +L 101.543434 317.28 +L 102.12 320.007907 +L 102.276412 320.64 +L 103.695577 324 +L 105.48 326.419163 +L 106.951298 327.36 +L 108.84 328.310405 +z +" clip-path="url(#pa8ac0eece6)" style="fill: none; stroke: #0038e3; stroke-width: 1.5"/> + <path d="M 108.84 321.749068 +L 112.2 323.090746 +L 115.56 323.009118 +L 118.92 322.108723 +L 122.168634 320.64 +L 122.28 320.59231 +L 125.64 318.696498 +L 127.695879 317.28 +L 129 316.373676 +L 132.084741 313.92 +L 132.36 313.691576 +L 135.72 310.67489 +L 135.842941 310.56 +L 139.08 307.28597 +L 139.163604 307.2 +L 142.150155 303.84 +L 142.44 303.473503 +L 144.858576 300.48 +L 145.8 299.139813 +L 147.284709 297.12 +L 149.16 294.133692 +L 149.410603 293.76 +L 151.389309 290.4 +L 152.52 288.104444 +L 153.093654 287.04 +L 154.632543 283.68 +L 155.88 280.358282 +L 155.896043 280.32 +L 157.070417 276.96 +L 158.003231 273.6 +L 158.727232 270.24 +L 159.24 267.020926 +L 159.265564 266.88 +L 159.661697 263.52 +L 159.857548 260.16 +L 159.854755 256.8 +L 159.647923 253.44 +L 159.24 250.192594 +L 159.225886 250.08 +L 158.598033 246.72 +L 157.704366 243.36 +L 156.502982 240 +L 155.88 238.581481 +L 154.909443 236.64 +L 152.805773 233.28 +L 152.52 232.88498 +L 149.714277 229.92 +L 149.16 229.411517 +L 145.8 227.399895 +L 142.44 226.581063 +L 139.08 226.79164 +L 135.72 227.974957 +L 132.77167 229.92 +L 132.36 230.171302 +L 129.066482 233.28 +L 129 233.339582 +L 126.344008 236.64 +L 125.64 237.496708 +L 124.028423 240 +L 122.28 242.759994 +L 121.959519 243.36 +L 120.172999 246.72 +L 118.92 249.174898 +L 118.506701 250.08 +L 117.005086 253.44 +L 115.611201 256.8 +L 115.56 256.923294 +L 114.294533 260.16 +L 113.093388 263.52 +L 112.2 266.193825 +L 111.968168 266.88 +L 110.879415 270.24 +L 109.899903 273.6 +L 109.010161 276.96 +L 108.84 277.634729 +L 108.116961 280.32 +L 107.312407 283.68 +L 106.606429 287.04 +L 105.98798 290.4 +L 105.48 293.574152 +L 105.446074 293.76 +L 104.93729 297.12 +L 104.557861 300.48 +L 104.318094 303.84 +L 104.242835 307.2 +L 104.379275 310.56 +L 104.811279 313.92 +L 105.48 316.573345 +L 105.725278 317.28 +L 107.767146 320.64 +L 108.84 321.749068 +z +" clip-path="url(#pa8ac0eece6)" style="fill: none; stroke: #0055d4; stroke-width: 1.5"/> + <path d="M 112.2 317.690093 +L 115.56 318.310479 +L 118.92 317.694596 +L 119.890307 317.28 +L 122.28 316.295607 +L 125.64 314.31897 +L 126.196496 313.92 +L 129 311.854002 +L 130.532396 310.56 +L 132.36 308.920668 +L 134.130326 307.2 +L 135.72 305.51118 +L 137.236979 303.84 +L 139.08 301.564695 +L 139.957885 300.48 +L 142.338842 297.12 +L 142.44 296.957883 +L 144.501864 293.76 +L 145.8 291.375471 +L 146.362483 290.4 +L 148.01195 287.04 +L 149.16 284.216771 +L 149.396816 283.68 +L 150.618767 280.32 +L 151.588901 276.96 +L 152.337548 273.6 +L 152.52 272.448699 +L 152.90756 270.24 +L 153.264934 266.88 +L 153.396645 263.52 +L 153.295964 260.16 +L 152.946669 256.8 +L 152.52 254.450923 +L 152.321983 253.44 +L 151.364105 250.08 +L 149.998901 246.72 +L 149.16 245.1115 +L 147.987055 243.36 +L 145.8 240.780643 +L 144.734844 240 +L 142.44 238.553172 +L 139.08 237.796625 +L 135.72 238.266394 +L 132.36 239.885804 +L 132.225478 240 +L 129 242.57682 +L 128.329857 243.36 +L 125.64 246.407284 +L 125.431786 246.72 +L 123.166922 250.08 +L 122.28 251.389593 +L 121.163283 253.44 +L 119.38337 256.8 +L 118.92 257.679467 +L 117.800063 260.16 +L 116.360946 263.52 +L 115.56 265.461176 +L 115.023822 266.88 +L 113.819107 270.24 +L 112.708966 273.6 +L 112.2 275.224944 +L 111.672192 276.96 +L 110.735034 280.32 +L 109.89769 283.68 +L 109.149021 287.04 +L 108.84 288.601126 +L 108.474846 290.4 +L 107.911146 293.76 +L 107.478444 297.12 +L 107.191721 300.48 +L 107.083302 303.84 +L 107.213384 307.2 +L 107.689823 310.56 +L 108.706864 313.92 +L 108.84 314.202964 +L 111.627129 317.28 +L 112.2 317.690093 +z +" clip-path="url(#pa8ac0eece6)" style="fill: none; stroke: #0071c6; stroke-width: 1.5"/> + <path d="M 112.2 311.310876 +L 115.56 313.439575 +L 118.92 313.320493 +L 122.28 312.084001 +L 124.856852 310.56 +L 125.64 310.086843 +L 129 307.452033 +L 129.279057 307.2 +L 132.36 304.196995 +L 132.69746 303.84 +L 135.56519 300.48 +L 135.72 300.27676 +L 138.037952 297.12 +L 139.08 295.483414 +L 140.180852 293.76 +L 142.009767 290.4 +L 142.44 289.465155 +L 143.595491 287.04 +L 144.907423 283.68 +L 145.8 280.842404 +L 145.974626 280.32 +L 146.821879 276.96 +L 147.415527 273.6 +L 147.76033 270.24 +L 147.846662 266.88 +L 147.650493 263.52 +L 147.132037 260.16 +L 146.232951 256.8 +L 145.8 255.650965 +L 144.71958 253.44 +L 142.44 250.188886 +L 142.309959 250.08 +L 139.08 247.916745 +L 135.72 247.434462 +L 132.36 248.374933 +L 129.840865 250.08 +L 129 250.609908 +L 126.298573 253.44 +L 125.64 254.100314 +L 123.759983 256.8 +L 122.28 258.902616 +L 121.595436 260.16 +L 119.796458 263.52 +L 118.92 265.181261 +L 118.177353 266.88 +L 116.772472 270.24 +L 115.56 273.288528 +L 115.449913 273.6 +L 114.328167 276.96 +L 113.305648 280.32 +L 112.369672 283.68 +L 112.2 284.355815 +L 111.574107 287.04 +L 110.915974 290.4 +L 110.392209 293.76 +L 110.023372 297.12 +L 109.852151 300.48 +L 109.95893 303.84 +L 110.492702 307.2 +L 111.736232 310.56 +L 112.2 311.310876 +z +" clip-path="url(#pa8ac0eece6)" style="fill: none; stroke: #008eb8; stroke-width: 1.5"/> + <path d="M 115.56 307.556869 +L 118.92 308.50981 +L 122.28 307.642837 +L 123.036671 307.2 +L 125.64 305.623554 +L 127.792622 303.84 +L 129 302.765782 +L 131.140277 300.48 +L 132.36 299.035489 +L 133.823054 297.12 +L 135.72 294.287702 +L 136.058762 293.76 +L 137.892209 290.4 +L 139.08 287.814546 +L 139.434359 287.04 +L 140.656964 283.68 +L 141.601422 280.32 +L 142.274713 276.96 +L 142.44 275.455381 +L 142.646117 273.6 +L 142.692745 270.24 +L 142.44 267.450328 +L 142.375942 266.88 +L 141.514414 263.52 +L 139.95145 260.16 +L 139.08 258.879523 +L 136.14717 256.8 +L 135.72 256.5704 +L 132.36 256.552793 +L 131.888236 256.8 +L 129 258.20318 +L 126.948883 260.16 +L 125.64 261.348215 +L 124.096726 263.52 +L 122.28 266.030368 +L 121.827381 266.88 +L 120.078922 270.24 +L 118.92 272.506309 +L 118.474864 273.6 +L 117.189228 276.96 +L 115.982733 280.32 +L 115.56 281.598715 +L 114.980763 283.68 +L 114.176442 287.04 +L 113.513043 290.4 +L 113.019 293.76 +L 112.753972 297.12 +L 112.83569 300.48 +L 113.499263 303.84 +L 115.241829 307.2 +L 115.56 307.556869 +z +" clip-path="url(#pa8ac0eece6)" style="fill: none; stroke: #00aaaa; stroke-width: 1.5"/> + <path d="M 118.92 302.203953 +L 122.28 302.272173 +L 125.64 300.489497 +L 125.650764 300.48 +L 129 297.268668 +L 129.124636 297.12 +L 131.577454 293.76 +L 132.36 292.534918 +L 133.540441 290.4 +L 135.076839 287.04 +L 135.72 285.245673 +L 136.235098 283.68 +L 136.969624 280.32 +L 137.33206 276.96 +L 137.244141 273.6 +L 136.562648 270.24 +L 135.72 268.240469 +L 134.398935 266.88 +L 132.36 265.613801 +L 129 266.199909 +L 128.186996 266.88 +L 125.64 268.90391 +L 124.690668 270.24 +L 122.28 273.558505 +L 122.259298 273.6 +L 120.688512 276.96 +L 119.15489 280.32 +L 118.92 280.88835 +L 118.077816 283.68 +L 117.225367 287.04 +L 116.569715 290.4 +L 116.205744 293.76 +L 116.341232 297.12 +L 117.463136 300.48 +L 118.92 302.203953 +z +" clip-path="url(#pa8ac0eece6)" style="fill: none; stroke: #00c79c; stroke-width: 1.5"/> + <path d="M 122.28 292.554059 +L 125.64 292.20482 +L 127.076059 290.4 +L 129 287.632986 +L 129.257336 287.04 +L 130.049031 283.68 +L 130.043357 280.32 +L 129 277.971914 +L 125.64 279.100699 +L 124.895127 280.32 +L 123.021518 283.68 +L 122.28 285.26917 +L 121.881929 287.04 +L 121.709978 290.4 +L 122.28 292.554059 +z +" clip-path="url(#pa8ac0eece6)" style="fill: none; stroke: #00e38e; stroke-width: 1.5"/> + <path clip-path="url(#pa8ac0eece6)" style="fill: none; stroke: #00ff80; stroke-width: 1.5"/> + </g> + <g id="patch_3"> + <path d="M 55.08 384.48 +L 55.08 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 387.72 384.48 +L 387.72 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 55.08 384.48 +L 387.72 384.48 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 55.08 51.84 +L 387.72 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + </g> + </g> + <defs> + <clipPath id="pa8ac0eece6"> + <rect x="55.08" y="51.84" width="332.64" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/cover_fn.svg b/book/figures/cover_fn.svg new file mode 100644 index 0000000..4b59235 --- /dev/null +++ b/book/figures/cover_fn.svg @@ -0,0 +1,914 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="432pt" height="432pt" viewBox="0 0 432 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2024-02-22T06:18:44.878696</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.8.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 432 432 +L 432 0 +L 0 0 +L 0 432 +z +" style="fill: none; opacity: 0"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 54 384.48 +L 388.8 384.48 +L 388.8 51.84 +L 54 51.84 +L 54 384.48 +z +" style="fill: none; opacity: 0"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="m0e52a5a8ad" d="M 0 0 +L 0 2 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#m0e52a5a8ad" x="87.594948" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#m0e52a5a8ad" x="107.246732" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#m0e52a5a8ad" x="121.189895" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#m0e52a5a8ad" x="132.005052" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <g> + <use xlink:href="#m0e52a5a8ad" x="140.84168" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#m0e52a5a8ad" x="148.312941" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_7"> + <g> + <use xlink:href="#m0e52a5a8ad" x="154.784843" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_8"> + <g> + <use xlink:href="#m0e52a5a8ad" x="160.493464" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_9"> + <g id="line2d_9"> + <g> + <use xlink:href="#m0e52a5a8ad" x="199.194948" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_10"> + <g id="line2d_10"> + <g> + <use xlink:href="#m0e52a5a8ad" x="218.846732" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_11"> + <g id="line2d_11"> + <g> + <use xlink:href="#m0e52a5a8ad" x="232.789895" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_12"> + <g id="line2d_12"> + <g> + <use xlink:href="#m0e52a5a8ad" x="243.605052" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_13"> + <g id="line2d_13"> + <g> + <use xlink:href="#m0e52a5a8ad" x="252.44168" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_14"> + <g id="line2d_14"> + <g> + <use xlink:href="#m0e52a5a8ad" x="259.912941" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_15"> + <g id="line2d_15"> + <g> + <use xlink:href="#m0e52a5a8ad" x="266.384843" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_16"> + <g id="line2d_16"> + <g> + <use xlink:href="#m0e52a5a8ad" x="272.093464" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_17"> + <g id="line2d_17"> + <g> + <use xlink:href="#m0e52a5a8ad" x="310.794948" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_18"> + <g id="line2d_18"> + <g> + <use xlink:href="#m0e52a5a8ad" x="330.446732" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_19"> + <g id="line2d_19"> + <g> + <use xlink:href="#m0e52a5a8ad" x="344.389895" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_20"> + <g id="line2d_20"> + <g> + <use xlink:href="#m0e52a5a8ad" x="355.205052" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_21"> + <g id="line2d_21"> + <g> + <use xlink:href="#m0e52a5a8ad" x="364.04168" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_22"> + <g id="line2d_22"> + <g> + <use xlink:href="#m0e52a5a8ad" x="371.512941" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_23"> + <g id="line2d_23"> + <g> + <use xlink:href="#m0e52a5a8ad" x="377.984843" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_24"> + <g id="line2d_24"> + <g> + <use xlink:href="#m0e52a5a8ad" x="383.693464" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_1"> + <!-- Consequences --> + <g transform="translate(168.0325 405.5275) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-43" d="M 3763 1606 +L 4369 1453 +Q 4178 706 3683 314 +Q 3188 -78 2472 -78 +Q 1731 -78 1267 223 +Q 803 525 561 1097 +Q 319 1669 319 2325 +Q 319 3041 592 3573 +Q 866 4106 1370 4382 +Q 1875 4659 2481 4659 +Q 3169 4659 3637 4309 +Q 4106 3959 4291 3325 +L 3694 3184 +Q 3534 3684 3231 3912 +Q 2928 4141 2469 4141 +Q 1941 4141 1586 3887 +Q 1231 3634 1087 3207 +Q 944 2781 944 2328 +Q 944 1744 1114 1308 +Q 1284 872 1643 656 +Q 2003 441 2422 441 +Q 2931 441 3284 734 +Q 3638 1028 3763 1606 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6f" d="M 213 1659 +Q 213 2581 725 3025 +Q 1153 3394 1769 3394 +Q 2453 3394 2887 2945 +Q 3322 2497 3322 1706 +Q 3322 1066 3130 698 +Q 2938 331 2570 128 +Q 2203 -75 1769 -75 +Q 1072 -75 642 372 +Q 213 819 213 1659 +z +M 791 1659 +Q 791 1022 1069 705 +Q 1347 388 1769 388 +Q 2188 388 2466 706 +Q 2744 1025 2744 1678 +Q 2744 2294 2464 2611 +Q 2184 2928 1769 2928 +Q 1347 2928 1069 2612 +Q 791 2297 791 1659 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6e" d="M 422 0 +L 422 3319 +L 928 3319 +L 928 2847 +Q 1294 3394 1984 3394 +Q 2284 3394 2536 3286 +Q 2788 3178 2913 3003 +Q 3038 2828 3088 2588 +Q 3119 2431 3119 2041 +L 3119 0 +L 2556 0 +L 2556 2019 +Q 2556 2363 2490 2533 +Q 2425 2703 2258 2804 +Q 2091 2906 1866 2906 +Q 1506 2906 1245 2678 +Q 984 2450 984 1813 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-73" d="M 197 991 +L 753 1078 +Q 800 744 1014 566 +Q 1228 388 1613 388 +Q 2000 388 2187 545 +Q 2375 703 2375 916 +Q 2375 1106 2209 1216 +Q 2094 1291 1634 1406 +Q 1016 1563 777 1677 +Q 538 1791 414 1992 +Q 291 2194 291 2438 +Q 291 2659 392 2848 +Q 494 3038 669 3163 +Q 800 3259 1026 3326 +Q 1253 3394 1513 3394 +Q 1903 3394 2198 3281 +Q 2494 3169 2634 2976 +Q 2775 2784 2828 2463 +L 2278 2388 +Q 2241 2644 2061 2787 +Q 1881 2931 1553 2931 +Q 1166 2931 1000 2803 +Q 834 2675 834 2503 +Q 834 2394 903 2306 +Q 972 2216 1119 2156 +Q 1203 2125 1616 2013 +Q 2213 1853 2448 1751 +Q 2684 1650 2818 1456 +Q 2953 1263 2953 975 +Q 2953 694 2789 445 +Q 2625 197 2315 61 +Q 2006 -75 1616 -75 +Q 969 -75 630 194 +Q 291 463 197 991 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-65" d="M 2694 1069 +L 3275 997 +Q 3138 488 2766 206 +Q 2394 -75 1816 -75 +Q 1088 -75 661 373 +Q 234 822 234 1631 +Q 234 2469 665 2931 +Q 1097 3394 1784 3394 +Q 2450 3394 2872 2941 +Q 3294 2488 3294 1666 +Q 3294 1616 3291 1516 +L 816 1516 +Q 847 969 1125 678 +Q 1403 388 1819 388 +Q 2128 388 2347 550 +Q 2566 713 2694 1069 +z +M 847 1978 +L 2700 1978 +Q 2663 2397 2488 2606 +Q 2219 2931 1791 2931 +Q 1403 2931 1139 2672 +Q 875 2413 847 1978 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-71" d="M 2538 -1272 +L 2538 353 +Q 2406 169 2170 47 +Q 1934 -75 1669 -75 +Q 1078 -75 651 397 +Q 225 869 225 1691 +Q 225 2191 398 2587 +Q 572 2984 901 3189 +Q 1231 3394 1625 3394 +Q 2241 3394 2594 2875 +L 2594 3319 +L 3100 3319 +L 3100 -1272 +L 2538 -1272 +z +M 803 1669 +Q 803 1028 1072 708 +Q 1341 388 1716 388 +Q 2075 388 2334 692 +Q 2594 997 2594 1619 +Q 2594 2281 2320 2615 +Q 2047 2950 1678 2950 +Q 1313 2950 1058 2639 +Q 803 2328 803 1669 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-75" d="M 2597 0 +L 2597 488 +Q 2209 -75 1544 -75 +Q 1250 -75 995 37 +Q 741 150 617 320 +Q 494 491 444 738 +Q 409 903 409 1263 +L 409 3319 +L 972 3319 +L 972 1478 +Q 972 1038 1006 884 +Q 1059 663 1231 536 +Q 1403 409 1656 409 +Q 1909 409 2131 539 +Q 2353 669 2445 892 +Q 2538 1116 2538 1541 +L 2538 3319 +L 3100 3319 +L 3100 0 +L 2597 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-63" d="M 2588 1216 +L 3141 1144 +Q 3050 572 2676 248 +Q 2303 -75 1759 -75 +Q 1078 -75 664 370 +Q 250 816 250 1647 +Q 250 2184 428 2587 +Q 606 2991 970 3192 +Q 1334 3394 1763 3394 +Q 2303 3394 2647 3120 +Q 2991 2847 3088 2344 +L 2541 2259 +Q 2463 2594 2264 2762 +Q 2066 2931 1784 2931 +Q 1359 2931 1093 2626 +Q 828 2322 828 1663 +Q 828 994 1084 691 +Q 1341 388 1753 388 +Q 2084 388 2306 591 +Q 2528 794 2588 1216 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-43"/> + <use xlink:href="#ArialMT-6f" x="72.216797"/> + <use xlink:href="#ArialMT-6e" x="127.832031"/> + <use xlink:href="#ArialMT-73" x="183.447266"/> + <use xlink:href="#ArialMT-65" x="233.447266"/> + <use xlink:href="#ArialMT-71" x="289.0625"/> + <use xlink:href="#ArialMT-75" x="344.677734"/> + <use xlink:href="#ArialMT-65" x="400.292969"/> + <use xlink:href="#ArialMT-6e" x="455.908203"/> + <use xlink:href="#ArialMT-63" x="511.523438"/> + <use xlink:href="#ArialMT-65" x="561.523438"/> + <use xlink:href="#ArialMT-73" x="617.138672"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_25"> + <defs> + <path id="mfa9b054434" d="M 0 0 +L -2 0 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#mfa9b054434" x="54" y="359.446346" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_26"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="344.802596" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_27"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="334.412691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_28"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="326.353654" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_29"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="319.768942" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_30"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="314.201647" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_31"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="309.379037" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_32"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="305.125193" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_9"> + <g id="line2d_33"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="276.286346" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_10"> + <g id="line2d_34"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="261.642596" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_11"> + <g id="line2d_35"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="251.252691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_12"> + <g id="line2d_36"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="243.193654" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_13"> + <g id="line2d_37"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="236.608942" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_14"> + <g id="line2d_38"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="231.041647" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_15"> + <g id="line2d_39"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="226.219037" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_16"> + <g id="line2d_40"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="221.965193" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_17"> + <g id="line2d_41"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="193.126346" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_18"> + <g id="line2d_42"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="178.482596" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_19"> + <g id="line2d_43"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="168.092691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_20"> + <g id="line2d_44"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="160.033654" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_21"> + <g id="line2d_45"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="153.448942" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_22"> + <g id="line2d_46"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="147.881647" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_23"> + <g id="line2d_47"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="143.059037" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_24"> + <g id="line2d_48"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="138.805193" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_25"> + <g id="line2d_49"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="109.966346" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_26"> + <g id="line2d_50"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="95.322596" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_27"> + <g id="line2d_51"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="84.932691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_28"> + <g id="line2d_52"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="76.873654" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_29"> + <g id="line2d_53"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="70.288942" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_30"> + <g id="line2d_54"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="64.721647" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_31"> + <g id="line2d_55"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="59.899037" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_32"> + <g id="line2d_56"> + <g> + <use xlink:href="#mfa9b054434" x="54" y="55.645193" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_2"> + <!-- Probability --> + <g transform="translate(41.2325 255.51) rotate(-90) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-50" d="M 494 0 +L 494 4581 +L 2222 4581 +Q 2678 4581 2919 4538 +Q 3256 4481 3484 4323 +Q 3713 4166 3852 3881 +Q 3991 3597 3991 3256 +Q 3991 2672 3619 2267 +Q 3247 1863 2275 1863 +L 1100 1863 +L 1100 0 +L 494 0 +z +M 1100 2403 +L 2284 2403 +Q 2872 2403 3119 2622 +Q 3366 2841 3366 3238 +Q 3366 3525 3220 3729 +Q 3075 3934 2838 4000 +Q 2684 4041 2272 4041 +L 1100 4041 +L 1100 2403 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-72" d="M 416 0 +L 416 3319 +L 922 3319 +L 922 2816 +Q 1116 3169 1280 3281 +Q 1444 3394 1641 3394 +Q 1925 3394 2219 3213 +L 2025 2691 +Q 1819 2813 1613 2813 +Q 1428 2813 1281 2702 +Q 1134 2591 1072 2394 +Q 978 2094 978 1738 +L 978 0 +L 416 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-62" d="M 941 0 +L 419 0 +L 419 4581 +L 981 4581 +L 981 2947 +Q 1338 3394 1891 3394 +Q 2197 3394 2470 3270 +Q 2744 3147 2920 2923 +Q 3097 2700 3197 2384 +Q 3297 2069 3297 1709 +Q 3297 856 2875 390 +Q 2453 -75 1863 -75 +Q 1275 -75 941 416 +L 941 0 +z +M 934 1684 +Q 934 1088 1097 822 +Q 1363 388 1816 388 +Q 2184 388 2453 708 +Q 2722 1028 2722 1663 +Q 2722 2313 2464 2622 +Q 2206 2931 1841 2931 +Q 1472 2931 1203 2611 +Q 934 2291 934 1684 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-61" d="M 2588 409 +Q 2275 144 1986 34 +Q 1697 -75 1366 -75 +Q 819 -75 525 192 +Q 231 459 231 875 +Q 231 1119 342 1320 +Q 453 1522 633 1644 +Q 813 1766 1038 1828 +Q 1203 1872 1538 1913 +Q 2219 1994 2541 2106 +Q 2544 2222 2544 2253 +Q 2544 2597 2384 2738 +Q 2169 2928 1744 2928 +Q 1347 2928 1158 2789 +Q 969 2650 878 2297 +L 328 2372 +Q 403 2725 575 2942 +Q 747 3159 1072 3276 +Q 1397 3394 1825 3394 +Q 2250 3394 2515 3294 +Q 2781 3194 2906 3042 +Q 3031 2891 3081 2659 +Q 3109 2516 3109 2141 +L 3109 1391 +Q 3109 606 3145 398 +Q 3181 191 3288 0 +L 2700 0 +Q 2613 175 2588 409 +z +M 2541 1666 +Q 2234 1541 1622 1453 +Q 1275 1403 1131 1340 +Q 988 1278 909 1158 +Q 831 1038 831 891 +Q 831 666 1001 516 +Q 1172 366 1500 366 +Q 1825 366 2078 508 +Q 2331 650 2450 897 +Q 2541 1088 2541 1459 +L 2541 1666 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-69" d="M 425 3934 +L 425 4581 +L 988 4581 +L 988 3934 +L 425 3934 +z +M 425 0 +L 425 3319 +L 988 3319 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6c" d="M 409 0 +L 409 4581 +L 972 4581 +L 972 0 +L 409 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-74" d="M 1650 503 +L 1731 6 +Q 1494 -44 1306 -44 +Q 1000 -44 831 53 +Q 663 150 594 308 +Q 525 466 525 972 +L 525 2881 +L 113 2881 +L 113 3319 +L 525 3319 +L 525 4141 +L 1084 4478 +L 1084 3319 +L 1650 3319 +L 1650 2881 +L 1084 2881 +L 1084 941 +Q 1084 700 1114 631 +Q 1144 563 1211 522 +Q 1278 481 1403 481 +Q 1497 481 1650 503 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-79" d="M 397 -1278 +L 334 -750 +Q 519 -800 656 -800 +Q 844 -800 956 -737 +Q 1069 -675 1141 -563 +Q 1194 -478 1313 -144 +Q 1328 -97 1363 -6 +L 103 3319 +L 709 3319 +L 1400 1397 +Q 1534 1031 1641 628 +Q 1738 1016 1872 1384 +L 2581 3319 +L 3144 3319 +L 1881 -56 +Q 1678 -603 1566 -809 +Q 1416 -1088 1222 -1217 +Q 1028 -1347 759 -1347 +Q 597 -1347 397 -1278 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-50"/> + <use xlink:href="#ArialMT-72" x="66.699219"/> + <use xlink:href="#ArialMT-6f" x="100"/> + <use xlink:href="#ArialMT-62" x="155.615234"/> + <use xlink:href="#ArialMT-61" x="211.230469"/> + <use xlink:href="#ArialMT-62" x="266.845703"/> + <use xlink:href="#ArialMT-69" x="322.460938"/> + <use xlink:href="#ArialMT-6c" x="344.677734"/> + <use xlink:href="#ArialMT-69" x="366.894531"/> + <use xlink:href="#ArialMT-74" x="389.111328"/> + <use xlink:href="#ArialMT-79" x="416.894531"/> + </g> + </g> + </g> + <g id="line2d_57"> + <path d="M 54 111.23121 +L 87.594948 124.043642 +L 132.005052 143.702812 +L 165.6 161.374143 +L 199.194948 182.498435 +L 218.846732 197.079106 +L 232.789895 208.758661 +L 243.605052 218.77162 +L 252.44168 227.699139 +L 259.912941 235.865492 +L 266.384843 243.472048 +L 272.093464 250.65355 +L 277.2 257.505339 +L 286.036627 270.485302 +L 296.851785 288.805392 +L 305.688412 306.434592 +L 310.794948 318.067037 +L 315.414371 329.743924 +L 321.610105 347.561424 +L 326.229529 362.870053 +L 330.446732 378.734326 +L 337.917994 412.129312 +L 342.081148 433 +" clip-path="url(#pfddeee6810)" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="line2d_58"> + <path d="M 54 51.84 +L 388.8 301.32 +" clip-path="url(#pfddeee6810)" style="fill: none; stroke-dasharray: 14.8,6.4; stroke-dashoffset: 0; stroke: #0c2340; stroke-width: 4"/> + </g> + <g id="patch_3"> + <path d="M 54 384.48 +L 54 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 388.8 384.48 +L 388.8 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 54 384.48 +L 388.8 384.48 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 54 51.84 +L 388.8 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + </g> + </g> + <defs> + <clipPath id="pfddeee6810"> + <rect x="54" y="51.84" width="334.8" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/cover_small.png b/book/figures/cover_small.png new file mode 100644 index 0000000..9d50b1e Binary files /dev/null and b/book/figures/cover_small.png differ diff --git a/book/figures/decision-tree-blank.png b/book/figures/decision-tree-blank.png new file mode 100644 index 0000000..bb3827a Binary files /dev/null and b/book/figures/decision-tree-blank.png differ diff --git a/book/figures/decision-tree-example.png b/book/figures/decision-tree-example.png new file mode 100644 index 0000000..2c7f7e1 Binary files /dev/null and b/book/figures/decision-tree-example.png differ diff --git a/book/figures/decision-tree-filled.png b/book/figures/decision-tree-filled.png new file mode 100644 index 0000000..96f45af Binary files /dev/null and b/book/figures/decision-tree-filled.png differ diff --git a/book/figures/decision-tree.png b/book/figures/decision-tree.png new file mode 100644 index 0000000..75bbfaa Binary files /dev/null and b/book/figures/decision-tree.png differ diff --git a/book/figures/design_1_rv.svg b/book/figures/design_1_rv.svg new file mode 100644 index 0000000..bc9fd29 --- /dev/null +++ b/book/figures/design_1_rv.svg @@ -0,0 +1,1789 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="669.6pt" height="302.4pt" viewBox="0 0 669.6 302.4" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-01-08T11:58:13.384461</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 302.4 +L 669.6 302.4 +L 669.6 -0 +L 0 -0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 70.2 255.6 +L 628.2 255.6 +L 628.2 3.6 +L 70.2 3.6 +z +" style="fill: #ffffff"/> + </g> + <g id="PolyCollection_1"> + <defs> + <path id="m497053c670" d="M 462.762814 -46.8 +L 462.762814 -56.649487 +L 465.566834 -56.057422 +L 468.370854 -55.498394 +L 471.174874 -54.970773 +L 473.978894 -54.472989 +L 476.782915 -54.003537 +L 479.586935 -53.560972 +L 482.390955 -53.143907 +L 485.194975 -52.751015 +L 487.998995 -52.381027 +L 490.803015 -52.032726 +L 493.607035 -51.704954 +L 496.411055 -51.396603 +L 499.215075 -51.106615 +L 502.019095 -50.833985 +L 504.823116 -50.577752 +L 507.627136 -50.337005 +L 510.431156 -50.110874 +L 513.235176 -49.898534 +L 516.039196 -49.699202 +L 518.843216 -49.512133 +L 521.647236 -49.33662 +L 524.451256 -49.171994 +L 527.255276 -49.017621 +L 530.059296 -48.872898 +L 532.863317 -48.737258 +L 535.667337 -48.610161 +L 538.471357 -48.491098 +L 541.275377 -48.379588 +L 544.079397 -48.275175 +L 546.883417 -48.177431 +L 549.687437 -48.08595 +L 552.491457 -48.00035 +L 555.295477 -47.920268 +L 558.099497 -47.845366 +L 560.903518 -47.775323 +L 563.707538 -47.709836 +L 566.511558 -47.648621 +L 569.315578 -47.591411 +L 572.119598 -47.537954 +L 574.923618 -47.488012 +L 577.727638 -47.441363 +L 580.531658 -47.397798 +L 583.335678 -47.35712 +L 586.139698 -47.319144 +L 588.943719 -47.283696 +L 591.747739 -47.250613 +L 594.551759 -47.219743 +L 597.355779 -47.190942 +L 600.159799 -47.164076 +L 602.963819 -47.139018 +L 605.767839 -47.11565 +L 608.571859 -47.093861 +L 611.375879 -47.073548 +L 614.179899 -47.054612 +L 616.98392 -47.036964 +L 619.78794 -47.020517 +L 622.59196 -47.005192 +L 625.39598 -46.990914 +L 628.2 -46.977613 +L 628.2 -46.8 +L 628.2 -46.8 +L 625.39598 -46.8 +L 622.59196 -46.8 +L 619.78794 -46.8 +L 616.98392 -46.8 +L 614.179899 -46.8 +L 611.375879 -46.8 +L 608.571859 -46.8 +L 605.767839 -46.8 +L 602.963819 -46.8 +L 600.159799 -46.8 +L 597.355779 -46.8 +L 594.551759 -46.8 +L 591.747739 -46.8 +L 588.943719 -46.8 +L 586.139698 -46.8 +L 583.335678 -46.8 +L 580.531658 -46.8 +L 577.727638 -46.8 +L 574.923618 -46.8 +L 572.119598 -46.8 +L 569.315578 -46.8 +L 566.511558 -46.8 +L 563.707538 -46.8 +L 560.903518 -46.8 +L 558.099497 -46.8 +L 555.295477 -46.8 +L 552.491457 -46.8 +L 549.687437 -46.8 +L 546.883417 -46.8 +L 544.079397 -46.8 +L 541.275377 -46.8 +L 538.471357 -46.8 +L 535.667337 -46.8 +L 532.863317 -46.8 +L 530.059296 -46.8 +L 527.255276 -46.8 +L 524.451256 -46.8 +L 521.647236 -46.8 +L 518.843216 -46.8 +L 516.039196 -46.8 +L 513.235176 -46.8 +L 510.431156 -46.8 +L 507.627136 -46.8 +L 504.823116 -46.8 +L 502.019095 -46.8 +L 499.215075 -46.8 +L 496.411055 -46.8 +L 493.607035 -46.8 +L 490.803015 -46.8 +L 487.998995 -46.8 +L 485.194975 -46.8 +L 482.390955 -46.8 +L 479.586935 -46.8 +L 476.782915 -46.8 +L 473.978894 -46.8 +L 471.174874 -46.8 +L 468.370854 -46.8 +L 465.566834 -46.8 +L 462.762814 -46.8 +z +" style="stroke: #808080"/> + </defs> + <g clip-path="url(#p78d4764d77)"> + <use xlink:href="#m497053c670" x="0" y="302.4" style="fill: #808080; stroke: #808080"/> + </g> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="m415deb0167" d="M 0 0 +L 0 3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m415deb0167" x="107.4" y="255.6" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_1"> + <!-- 60 --> + <g transform="translate(101.0375 270.198437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#m415deb0167" x="181.8" y="255.6" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_2"> + <!-- 80 --> + <g transform="translate(175.4375 270.198437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#m415deb0167" x="256.2" y="255.6" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_3"> + <!-- 100 --> + <g transform="translate(246.65625 270.198437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#m415deb0167" x="330.6" y="255.6" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_4"> + <!-- 120 --> + <g transform="translate(321.05625 270.198437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-32" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <g> + <use xlink:href="#m415deb0167" x="405" y="255.6" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_5"> + <!-- 140 --> + <g transform="translate(395.45625 270.198437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-34" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#m415deb0167" x="479.4" y="255.6" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_6"> + <!-- 160 --> + <g transform="translate(469.85625 270.198437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-36" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_7"> + <g> + <use xlink:href="#m415deb0167" x="553.8" y="255.6" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_7"> + <!-- 180 --> + <g transform="translate(544.25625 270.198437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-38" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_8"> + <g> + <use xlink:href="#m415deb0167" x="628.2" y="255.6" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_8"> + <!-- 200 --> + <g transform="translate(618.65625 270.198437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_9"> + <!-- River Discharge, $q$ [m$^3$/s] --> + <g transform="translate(254.55 289.928125)scale(0.15 -0.15)"> + <defs> + <path id="DejaVuSans-52" d="M 2841 2188 +Q 3044 2119 3236 1894 +Q 3428 1669 3622 1275 +L 4263 0 +L 3584 0 +L 2988 1197 +Q 2756 1666 2539 1819 +Q 2322 1972 1947 1972 +L 1259 1972 +L 1259 0 +L 628 0 +L 628 4666 +L 2053 4666 +Q 2853 4666 3247 4331 +Q 3641 3997 3641 3322 +Q 3641 2881 3436 2590 +Q 3231 2300 2841 2188 +z +M 1259 4147 +L 1259 2491 +L 2053 2491 +Q 2509 2491 2742 2702 +Q 2975 2913 2975 3322 +Q 2975 3731 2742 3939 +Q 2509 4147 2053 4147 +L 1259 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-69" d="M 603 3500 +L 1178 3500 +L 1178 0 +L 603 0 +L 603 3500 +z +M 603 4863 +L 1178 4863 +L 1178 4134 +L 603 4134 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-76" d="M 191 3500 +L 800 3500 +L 1894 563 +L 2988 3500 +L 3597 3500 +L 2284 0 +L 1503 0 +L 191 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-65" d="M 3597 1894 +L 3597 1613 +L 953 1613 +Q 991 1019 1311 708 +Q 1631 397 2203 397 +Q 2534 397 2845 478 +Q 3156 559 3463 722 +L 3463 178 +Q 3153 47 2828 -22 +Q 2503 -91 2169 -91 +Q 1331 -91 842 396 +Q 353 884 353 1716 +Q 353 2575 817 3079 +Q 1281 3584 2069 3584 +Q 2775 3584 3186 3129 +Q 3597 2675 3597 1894 +z +M 3022 2063 +Q 3016 2534 2758 2815 +Q 2500 3097 2075 3097 +Q 1594 3097 1305 2825 +Q 1016 2553 972 2059 +L 3022 2063 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-72" d="M 2631 2963 +Q 2534 3019 2420 3045 +Q 2306 3072 2169 3072 +Q 1681 3072 1420 2755 +Q 1159 2438 1159 1844 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1341 3275 1631 3429 +Q 1922 3584 2338 3584 +Q 2397 3584 2469 3576 +Q 2541 3569 2628 3553 +L 2631 2963 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-44" d="M 1259 4147 +L 1259 519 +L 2022 519 +Q 2988 519 3436 956 +Q 3884 1394 3884 2338 +Q 3884 3275 3436 3711 +Q 2988 4147 2022 4147 +L 1259 4147 +z +M 628 4666 +L 1925 4666 +Q 3281 4666 3915 4102 +Q 4550 3538 4550 2338 +Q 4550 1131 3912 565 +Q 3275 0 1925 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-73" d="M 2834 3397 +L 2834 2853 +Q 2591 2978 2328 3040 +Q 2066 3103 1784 3103 +Q 1356 3103 1142 2972 +Q 928 2841 928 2578 +Q 928 2378 1081 2264 +Q 1234 2150 1697 2047 +L 1894 2003 +Q 2506 1872 2764 1633 +Q 3022 1394 3022 966 +Q 3022 478 2636 193 +Q 2250 -91 1575 -91 +Q 1294 -91 989 -36 +Q 684 19 347 128 +L 347 722 +Q 666 556 975 473 +Q 1284 391 1588 391 +Q 1994 391 2212 530 +Q 2431 669 2431 922 +Q 2431 1156 2273 1281 +Q 2116 1406 1581 1522 +L 1381 1569 +Q 847 1681 609 1914 +Q 372 2147 372 2553 +Q 372 3047 722 3315 +Q 1072 3584 1716 3584 +Q 2034 3584 2315 3537 +Q 2597 3491 2834 3397 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-63" d="M 3122 3366 +L 3122 2828 +Q 2878 2963 2633 3030 +Q 2388 3097 2138 3097 +Q 1578 3097 1268 2742 +Q 959 2388 959 1747 +Q 959 1106 1268 751 +Q 1578 397 2138 397 +Q 2388 397 2633 464 +Q 2878 531 3122 666 +L 3122 134 +Q 2881 22 2623 -34 +Q 2366 -91 2075 -91 +Q 1284 -91 818 406 +Q 353 903 353 1747 +Q 353 2603 823 3093 +Q 1294 3584 2113 3584 +Q 2378 3584 2631 3529 +Q 2884 3475 3122 3366 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-68" d="M 3513 2113 +L 3513 0 +L 2938 0 +L 2938 2094 +Q 2938 2591 2744 2837 +Q 2550 3084 2163 3084 +Q 1697 3084 1428 2787 +Q 1159 2491 1159 1978 +L 1159 0 +L 581 0 +L 581 4863 +L 1159 4863 +L 1159 2956 +Q 1366 3272 1645 3428 +Q 1925 3584 2291 3584 +Q 2894 3584 3203 3211 +Q 3513 2838 3513 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-61" d="M 2194 1759 +Q 1497 1759 1228 1600 +Q 959 1441 959 1056 +Q 959 750 1161 570 +Q 1363 391 1709 391 +Q 2188 391 2477 730 +Q 2766 1069 2766 1631 +L 2766 1759 +L 2194 1759 +z +M 3341 1997 +L 3341 0 +L 2766 0 +L 2766 531 +Q 2569 213 2275 61 +Q 1981 -91 1556 -91 +Q 1019 -91 701 211 +Q 384 513 384 1019 +Q 384 1609 779 1909 +Q 1175 2209 1959 2209 +L 2766 2209 +L 2766 2266 +Q 2766 2663 2505 2880 +Q 2244 3097 1772 3097 +Q 1472 3097 1187 3025 +Q 903 2953 641 2809 +L 641 3341 +Q 956 3463 1253 3523 +Q 1550 3584 1831 3584 +Q 2591 3584 2966 3190 +Q 3341 2797 3341 1997 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-67" d="M 2906 1791 +Q 2906 2416 2648 2759 +Q 2391 3103 1925 3103 +Q 1463 3103 1205 2759 +Q 947 2416 947 1791 +Q 947 1169 1205 825 +Q 1463 481 1925 481 +Q 2391 481 2648 825 +Q 2906 1169 2906 1791 +z +M 3481 434 +Q 3481 -459 3084 -895 +Q 2688 -1331 1869 -1331 +Q 1566 -1331 1297 -1286 +Q 1028 -1241 775 -1147 +L 775 -588 +Q 1028 -725 1275 -790 +Q 1522 -856 1778 -856 +Q 2344 -856 2625 -561 +Q 2906 -266 2906 331 +L 2906 616 +Q 2728 306 2450 153 +Q 2172 0 1784 0 +Q 1141 0 747 490 +Q 353 981 353 1791 +Q 353 2603 747 3093 +Q 1141 3584 1784 3584 +Q 2172 3584 2450 3431 +Q 2728 3278 2906 2969 +L 2906 3500 +L 3481 3500 +L 3481 434 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2c" d="M 750 794 +L 1409 794 +L 1409 256 +L 897 -744 +L 494 -744 +L 750 256 +L 750 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-71" d="M 2669 525 +Q 2438 222 2123 65 +Q 1809 -91 1428 -91 +Q 897 -91 595 267 +Q 294 625 294 1253 +Q 294 1759 480 2231 +Q 666 2703 1013 3078 +Q 1238 3322 1530 3453 +Q 1822 3584 2144 3584 +Q 2531 3584 2781 3431 +Q 3031 3278 3144 2969 +L 3244 3494 +L 3822 3494 +L 2888 -1319 +L 2309 -1319 +L 2669 525 +z +M 891 1338 +Q 891 875 1084 633 +Q 1278 391 1644 391 +Q 2188 391 2572 911 +Q 2956 1431 2956 2175 +Q 2956 2625 2757 2864 +Q 2559 3103 2188 3103 +Q 1916 3103 1684 2976 +Q 1453 2850 1281 2606 +Q 1100 2350 995 2006 +Q 891 1663 891 1338 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5b" d="M 550 4863 +L 1875 4863 +L 1875 4416 +L 1125 4416 +L 1125 -397 +L 1875 -397 +L 1875 -844 +L 550 -844 +L 550 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6d" d="M 3328 2828 +Q 3544 3216 3844 3400 +Q 4144 3584 4550 3584 +Q 5097 3584 5394 3201 +Q 5691 2819 5691 2113 +L 5691 0 +L 5113 0 +L 5113 2094 +Q 5113 2597 4934 2840 +Q 4756 3084 4391 3084 +Q 3944 3084 3684 2787 +Q 3425 2491 3425 1978 +L 3425 0 +L 2847 0 +L 2847 2094 +Q 2847 2600 2669 2842 +Q 2491 3084 2119 3084 +Q 1678 3084 1418 2786 +Q 1159 2488 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1356 3278 1631 3431 +Q 1906 3584 2284 3584 +Q 2666 3584 2933 3390 +Q 3200 3197 3328 2828 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2f" d="M 1625 4666 +L 2156 4666 +L 531 -594 +L 0 -594 +L 1625 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5d" d="M 1947 4863 +L 1947 -844 +L 622 -844 +L 622 -397 +L 1369 -397 +L 1369 4416 +L 622 4416 +L 622 4863 +L 1947 4863 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-52" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(69.482422 0.765625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(97.265625 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(156.445312 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(217.96875 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(259.082031 0.765625)"/> + <use xlink:href="#DejaVuSans-44" transform="translate(290.869141 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(367.871094 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(395.654297 0.765625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(447.753906 0.765625)"/> + <use xlink:href="#DejaVuSans-68" transform="translate(502.734375 0.765625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(566.113281 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(627.392578 0.765625)"/> + <use xlink:href="#DejaVuSans-67" transform="translate(668.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(731.982422 0.765625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(793.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(825.292969 0.765625)"/> + <use xlink:href="#DejaVuSans-Oblique-71" transform="translate(857.080078 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(920.556641 0.765625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(952.34375 0.765625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(991.357422 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(1089.726562 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-2f" transform="translate(1136.99707 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1170.688477 0.765625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(1222.788086 0.765625)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_9"> + <defs> + <path id="m1f930cb6de" d="M 0 0 +L -3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="255.6" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_10"> + <!-- 0.0000 --> + <g transform="translate(28.209375 259.399219)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-30" x="159.033203"/> + <use xlink:href="#DejaVuSans-30" x="222.65625"/> + <use xlink:href="#DejaVuSans-30" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_10"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="226.959075" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_11"> + <!-- 0.0025 --> + <g transform="translate(28.209375 230.758294)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-35" d="M 691 4666 +L 3169 4666 +L 3169 4134 +L 1269 4134 +L 1269 2991 +Q 1406 3038 1543 3061 +Q 1681 3084 1819 3084 +Q 2600 3084 3056 2656 +Q 3513 2228 3513 1497 +Q 3513 744 3044 326 +Q 2575 -91 1722 -91 +Q 1428 -91 1123 -41 +Q 819 9 494 109 +L 494 744 +Q 775 591 1075 516 +Q 1375 441 1709 441 +Q 2250 441 2565 725 +Q 2881 1009 2881 1497 +Q 2881 1984 2565 2268 +Q 2250 2553 1709 2553 +Q 1456 2553 1204 2497 +Q 953 2441 691 2322 +L 691 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-30" x="159.033203"/> + <use xlink:href="#DejaVuSans-32" x="222.65625"/> + <use xlink:href="#DejaVuSans-35" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_11"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="198.318151" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_12"> + <!-- 0.0050 --> + <g transform="translate(28.209375 202.117369)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-30" x="159.033203"/> + <use xlink:href="#DejaVuSans-35" x="222.65625"/> + <use xlink:href="#DejaVuSans-30" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_12"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="169.677226" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_13"> + <!-- 0.0075 --> + <g transform="translate(28.209375 173.476445)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-37" d="M 525 4666 +L 3525 4666 +L 3525 4397 +L 1831 0 +L 1172 0 +L 2766 4134 +L 525 4134 +L 525 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-30" x="159.033203"/> + <use xlink:href="#DejaVuSans-37" x="222.65625"/> + <use xlink:href="#DejaVuSans-35" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_13"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="141.036301" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_14"> + <!-- 0.0100 --> + <g transform="translate(28.209375 144.83552)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-31" x="159.033203"/> + <use xlink:href="#DejaVuSans-30" x="222.65625"/> + <use xlink:href="#DejaVuSans-30" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_14"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="112.395376" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_15"> + <!-- 0.0125 --> + <g transform="translate(28.209375 116.194595)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-31" x="159.033203"/> + <use xlink:href="#DejaVuSans-32" x="222.65625"/> + <use xlink:href="#DejaVuSans-35" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_15"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="83.754452" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_16"> + <!-- 0.0150 --> + <g transform="translate(28.209375 87.55367)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-31" x="159.033203"/> + <use xlink:href="#DejaVuSans-35" x="222.65625"/> + <use xlink:href="#DejaVuSans-30" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_16"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="55.113527" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_17"> + <!-- 0.0175 --> + <g transform="translate(28.209375 58.912746)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-31" x="159.033203"/> + <use xlink:href="#DejaVuSans-37" x="222.65625"/> + <use xlink:href="#DejaVuSans-35" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_9"> + <g id="line2d_17"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="26.472602" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_18"> + <!-- 0.0200 --> + <g transform="translate(28.209375 30.271821)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-32" x="159.033203"/> + <use xlink:href="#DejaVuSans-30" x="222.65625"/> + <use xlink:href="#DejaVuSans-30" x="286.279297"/> + </g> + </g> + </g> + <g id="text_19"> + <!-- $f_Q(q)$ [$-$] --> + <g transform="translate(20.309375 161.775)rotate(-90)scale(0.15 -0.15)"> + <defs> + <path id="DejaVuSans-Oblique-66" d="M 3059 4863 +L 2969 4384 +L 2419 4384 +Q 2106 4384 1964 4261 +Q 1822 4138 1753 3809 +L 1691 3500 +L 2638 3500 +L 2553 3053 +L 1606 3053 +L 1013 0 +L 434 0 +L 1031 3053 +L 481 3053 +L 563 3500 +L 1113 3500 +L 1159 3744 +Q 1278 4363 1576 4613 +Q 1875 4863 2516 4863 +L 3059 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-51" d="M 2309 -84 +Q 2275 -88 2237 -89 +Q 2200 -91 2125 -91 +Q 1250 -91 756 411 +Q 263 913 263 1797 +Q 263 2319 452 2844 +Q 641 3369 978 3788 +Q 1369 4269 1858 4509 +Q 2347 4750 2938 4750 +Q 3794 4750 4287 4245 +Q 4781 3741 4781 2869 +Q 4781 1928 4265 1147 +Q 3750 366 2919 44 +L 3553 -825 +L 2847 -825 +L 2309 -84 +z +M 2919 4238 +Q 2400 4238 2003 3986 +Q 1606 3734 1313 3219 +Q 1125 2891 1026 2522 +Q 928 2153 928 1778 +Q 928 1128 1239 775 +Q 1550 422 2119 422 +Q 2631 422 3032 676 +Q 3434 931 3719 1434 +Q 3909 1772 4009 2142 +Q 4109 2513 4109 2881 +Q 4109 3528 3796 3883 +Q 3484 4238 2919 4238 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-Oblique-66" transform="translate(0 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-51" transform="translate(35.205078 -16.390625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(93.037109 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-71" transform="translate(132.050781 0.015625)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(195.527344 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(234.541016 0.015625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(266.328125 0.015625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(305.341797 0.015625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(389.130859 0.015625)"/> + </g> + </g> + </g> + <g id="line2d_18"> + <path d="M 70.2 254.179094 +L 75.80804 253.32844 +L 81.41608 252.093672 +L 84.220101 251.29714 +L 87.024121 250.360824 +L 89.828141 249.268702 +L 92.632161 248.004375 +L 95.436181 246.551286 +L 98.240201 244.892965 +L 101.044221 243.013291 +L 103.848241 240.896765 +L 106.652261 238.528799 +L 109.456281 235.895998 +L 112.260302 232.986445 +L 115.064322 229.78997 +L 117.868342 226.298407 +L 120.672362 222.505826 +L 123.476382 218.408741 +L 126.280402 214.00628 +L 129.084422 209.300326 +L 131.888442 204.295615 +L 134.692462 198.999793 +L 137.496482 193.423432 +L 143.104523 181.4858 +L 148.712563 168.623712 +L 154.320603 155.018962 +L 162.732663 133.699746 +L 176.752764 97.834616 +L 182.360804 84.141299 +L 187.968844 71.203642 +L 190.772864 65.091088 +L 193.576884 59.251691 +L 196.380905 53.709823 +L 199.184925 48.48777 +L 201.988945 43.605616 +L 204.792965 39.081133 +L 207.596985 34.929718 +L 210.401005 31.164339 +L 213.205025 27.795522 +L 216.009045 24.831348 +L 218.813065 22.277486 +L 221.617085 20.137238 +L 224.421106 18.411606 +L 227.225126 17.099379 +L 230.029146 16.197232 +L 232.833166 15.699839 +L 235.637186 15.6 +L 238.441206 15.888772 +L 241.245226 16.555611 +L 244.049246 17.588519 +L 246.853266 18.974193 +L 249.657286 20.698176 +L 252.461307 22.745008 +L 255.265327 25.098375 +L 258.069347 27.741258 +L 260.873367 30.656073 +L 263.677387 33.824811 +L 266.481407 37.229168 +L 269.285427 40.850673 +L 274.893467 48.671098 +L 280.501508 57.139226 +L 286.109548 66.112215 +L 294.521608 80.222621 +L 322.561809 128.264146 +L 328.169849 137.386041 +L 333.777889 146.195238 +L 339.38593 154.649559 +L 344.99397 162.716769 +L 350.60201 170.373696 +L 356.21005 177.605291 +L 361.81809 184.403689 +L 367.426131 190.767255 +L 373.034171 196.699679 +L 378.642211 202.209106 +L 384.250251 207.30733 +L 389.858291 212.009052 +L 395.466332 216.331211 +L 401.074372 220.292388 +L 406.682412 223.912282 +L 412.290452 227.211256 +L 417.898492 230.20995 +L 423.506533 232.928962 +L 429.114573 235.388574 +L 434.722613 237.608545 +L 440.330653 239.607937 +L 445.938693 241.404993 +L 451.546734 243.017039 +L 457.154774 244.460431 +L 465.566834 246.342578 +L 473.978894 247.927011 +L 482.390955 249.256093 +L 490.803015 250.367274 +L 499.215075 251.293385 +L 510.431156 252.289126 +L 521.647236 253.06338 +L 535.667337 253.789839 +L 552.491457 254.39965 +L 572.119598 254.862046 +L 597.355779 255.209058 +L 628.2 255.422387 +L 628.2 255.422387 +" clip-path="url(#p78d4764d77)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 70.2 255.6 +L 70.2 3.6 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 628.2 255.6 +L 628.2 3.6 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 70.2 255.6 +L 628.2 255.6 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 70.2 3.6 +L 628.2 3.6 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + </g> + <g id="axes_2"> + <g id="patch_7"> + <path d="M 70.2 558 +L 628.2 558 +L 628.2 306 +L 70.2 306 +z +" style="fill: #ffffff"/> + </g> + <g id="PolyCollection_2"> + <defs> + <path id="m3127b0dcda" d="M 452.438922 255.6 +L 452.438922 245.750513 +L 454.988031 246.342578 +L 457.53714 246.901606 +L 460.086249 247.429227 +L 462.635359 247.927011 +L 465.184468 248.396463 +L 467.733577 248.839028 +L 470.282686 249.256093 +L 472.831795 249.648985 +L 475.380905 250.018973 +L 477.930014 250.367274 +L 480.479123 250.695046 +L 483.028232 251.003397 +L 485.577341 251.293385 +L 488.12645 251.566015 +L 490.67556 251.822248 +L 493.224669 252.062995 +L 495.773778 252.289126 +L 498.322887 252.501466 +L 500.871996 252.700798 +L 503.421106 252.887867 +L 505.970215 253.06338 +L 508.519324 253.228006 +L 511.068433 253.382379 +L 513.617542 253.527102 +L 516.166651 253.662742 +L 518.715761 253.789839 +L 521.26487 253.908902 +L 523.813979 254.020412 +L 526.363088 254.124825 +L 528.912197 254.222569 +L 531.461307 254.31405 +L 534.010416 254.39965 +L 536.559525 254.479732 +L 539.108634 254.554634 +L 541.657743 254.624677 +L 544.206852 254.690164 +L 546.755962 254.751379 +L 549.305071 254.808589 +L 551.85418 254.862046 +L 554.403289 254.911988 +L 556.952398 254.958637 +L 559.501508 255.002202 +L 562.050617 255.04288 +L 564.599726 255.080856 +L 567.148835 255.116304 +L 569.697944 255.149387 +L 572.247053 255.180257 +L 574.796163 255.209058 +L 577.345272 255.235924 +L 579.894381 255.260982 +L 582.44349 255.28435 +L 584.992599 255.306139 +L 587.541709 255.326452 +L 590.090818 255.345388 +L 592.639927 255.363036 +L 595.189036 255.379483 +L 597.738145 255.394808 +L 600.287254 255.409086 +L 602.836364 255.422387 +L 602.836364 255.6 +L 602.836364 255.6 +L 600.287254 255.6 +L 597.738145 255.6 +L 595.189036 255.6 +L 592.639927 255.6 +L 590.090818 255.6 +L 587.541709 255.6 +L 584.992599 255.6 +L 582.44349 255.6 +L 579.894381 255.6 +L 577.345272 255.6 +L 574.796163 255.6 +L 572.247053 255.6 +L 569.697944 255.6 +L 567.148835 255.6 +L 564.599726 255.6 +L 562.050617 255.6 +L 559.501508 255.6 +L 556.952398 255.6 +L 554.403289 255.6 +L 551.85418 255.6 +L 549.305071 255.6 +L 546.755962 255.6 +L 544.206852 255.6 +L 541.657743 255.6 +L 539.108634 255.6 +L 536.559525 255.6 +L 534.010416 255.6 +L 531.461307 255.6 +L 528.912197 255.6 +L 526.363088 255.6 +L 523.813979 255.6 +L 521.26487 255.6 +L 518.715761 255.6 +L 516.166651 255.6 +L 513.617542 255.6 +L 511.068433 255.6 +L 508.519324 255.6 +L 505.970215 255.6 +L 503.421106 255.6 +L 500.871996 255.6 +L 498.322887 255.6 +L 495.773778 255.6 +L 493.224669 255.6 +L 490.67556 255.6 +L 488.12645 255.6 +L 485.577341 255.6 +L 483.028232 255.6 +L 480.479123 255.6 +L 477.930014 255.6 +L 475.380905 255.6 +L 472.831795 255.6 +L 470.282686 255.6 +L 467.733577 255.6 +L 465.184468 255.6 +L 462.635359 255.6 +L 460.086249 255.6 +L 457.53714 255.6 +L 454.988031 255.6 +L 452.438922 255.6 +z +" style="stroke: #808080"/> + </defs> + <g clip-path="url(#p524d9d0d23)"> + <use xlink:href="#m3127b0dcda" x="0" y="302.4" style="fill: #808080; stroke: #808080"/> + </g> + </g> + <g id="matplotlib.axis_3"> + <g id="xtick_9"> + <g id="line2d_19"> + <g> + <use xlink:href="#m415deb0167" x="129.381818" y="558" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_20"> + <!-- 60 --> + <g transform="translate(123.019318 572.598438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_10"> + <g id="line2d_20"> + <g> + <use xlink:href="#m415deb0167" x="197.018182" y="558" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_21"> + <!-- 80 --> + <g transform="translate(190.655682 572.598438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_11"> + <g id="line2d_21"> + <g> + <use xlink:href="#m415deb0167" x="264.654545" y="558" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_22"> + <!-- 100 --> + <g transform="translate(255.110795 572.598438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_12"> + <g id="line2d_22"> + <g> + <use xlink:href="#m415deb0167" x="332.290909" y="558" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_23"> + <!-- 120 --> + <g transform="translate(322.747159 572.598438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-32" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_13"> + <g id="line2d_23"> + <g> + <use xlink:href="#m415deb0167" x="399.927273" y="558" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_24"> + <!-- 140 --> + <g transform="translate(390.383523 572.598438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-34" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_14"> + <g id="line2d_24"> + <g> + <use xlink:href="#m415deb0167" x="467.563636" y="558" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_25"> + <!-- 160 --> + <g transform="translate(458.019886 572.598438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-36" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_15"> + <g id="line2d_25"> + <g> + <use xlink:href="#m415deb0167" x="535.2" y="558" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_26"> + <!-- 180 --> + <g transform="translate(525.65625 572.598438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-38" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_16"> + <g id="line2d_26"> + <g> + <use xlink:href="#m415deb0167" x="602.836364" y="558" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_27"> + <!-- 200 --> + <g transform="translate(593.292614 572.598438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_28"> + <!-- $Y$ --> + <g transform="translate(344.55 590.075781)scale(0.15 -0.15)"> + <defs> + <path id="DejaVuSans-Oblique-59" d="M 403 4666 +L 1081 4666 +L 1953 2747 +L 3616 4666 +L 4325 4666 +L 2209 2222 +L 1778 0 +L 1147 0 +L 1575 2222 +L 403 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-Oblique-59" transform="translate(0 0.09375)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_4"> + <g id="ytick_10"> + <g id="line2d_27"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="558" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_29"> + <!-- 0.0000 --> + <g transform="translate(28.209375 561.799219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-30" x="159.033203"/> + <use xlink:href="#DejaVuSans-30" x="222.65625"/> + <use xlink:href="#DejaVuSans-30" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_11"> + <g id="line2d_28"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="529.359075" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_30"> + <!-- 0.0025 --> + <g transform="translate(28.209375 533.158294)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-30" x="159.033203"/> + <use xlink:href="#DejaVuSans-32" x="222.65625"/> + <use xlink:href="#DejaVuSans-35" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_12"> + <g id="line2d_29"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="500.718151" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_31"> + <!-- 0.0050 --> + <g transform="translate(28.209375 504.517369)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-30" x="159.033203"/> + <use xlink:href="#DejaVuSans-35" x="222.65625"/> + <use xlink:href="#DejaVuSans-30" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_13"> + <g id="line2d_30"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="472.077226" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_32"> + <!-- 0.0075 --> + <g transform="translate(28.209375 475.876445)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-30" x="159.033203"/> + <use xlink:href="#DejaVuSans-37" x="222.65625"/> + <use xlink:href="#DejaVuSans-35" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_14"> + <g id="line2d_31"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="443.436301" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_33"> + <!-- 0.0100 --> + <g transform="translate(28.209375 447.23552)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-31" x="159.033203"/> + <use xlink:href="#DejaVuSans-30" x="222.65625"/> + <use xlink:href="#DejaVuSans-30" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_15"> + <g id="line2d_32"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="414.795376" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_34"> + <!-- 0.0125 --> + <g transform="translate(28.209375 418.594595)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-31" x="159.033203"/> + <use xlink:href="#DejaVuSans-32" x="222.65625"/> + <use xlink:href="#DejaVuSans-35" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_16"> + <g id="line2d_33"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="386.154452" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_35"> + <!-- 0.0150 --> + <g transform="translate(28.209375 389.95367)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-31" x="159.033203"/> + <use xlink:href="#DejaVuSans-35" x="222.65625"/> + <use xlink:href="#DejaVuSans-30" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_17"> + <g id="line2d_34"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="357.513527" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_36"> + <!-- 0.0175 --> + <g transform="translate(28.209375 361.312746)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-31" x="159.033203"/> + <use xlink:href="#DejaVuSans-37" x="222.65625"/> + <use xlink:href="#DejaVuSans-35" x="286.279297"/> + </g> + </g> + </g> + <g id="ytick_18"> + <g id="line2d_35"> + <g> + <use xlink:href="#m1f930cb6de" x="70.2" y="328.872602" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_37"> + <!-- 0.0200 --> + <g transform="translate(28.209375 332.671821)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-32" x="159.033203"/> + <use xlink:href="#DejaVuSans-30" x="222.65625"/> + <use xlink:href="#DejaVuSans-30" x="286.279297"/> + </g> + </g> + </g> + <g id="text_38"> + <!-- $f(Y)$ --> + <g transform="translate(21.089844 445.125)rotate(-90)scale(0.15 -0.15)"> + <use xlink:href="#DejaVuSans-Oblique-66" transform="translate(0 0.015625)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(35.205078 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-59" transform="translate(74.21875 0.015625)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(135.302734 0.015625)"/> + </g> + </g> + </g> + <g id="line2d_36"> + <path d="M 0 0 +" clip-path="url(#p524d9d0d23)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/> + </g> + <g id="patch_8"> + <path style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_9"> + <path style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_10"> + <path style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_11"> + <path style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + </g> + </g> + <defs> + <clipPath id="p78d4764d77"> + <rect x="70.2" y="3.6" width="558" height="252"/> + </clipPath> + <clipPath id="p524d9d0d23"> + <rect x="70.2" y="306" width="558" height="252"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/design_2_rv_correct.svg b/book/figures/design_2_rv_correct.svg new file mode 100644 index 0000000..65b606f --- /dev/null +++ b/book/figures/design_2_rv_correct.svg @@ -0,0 +1,4713 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="396.1675pt" height="386.758125pt" viewBox="0 0 396.1675 386.758125" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-01-08T11:58:19.506423</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 386.758125 +L 396.1675 386.758125 +L 396.1675 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 56.3275 339.84 +L 388.9675 339.84 +L 388.9675 7.2 +L 56.3275 7.2 +z +" style="fill: #ffffff"/> + </g> + <g id="PolyCollection_1"> + <path d="M 56.3275 -59.328 +L 56.3275 7.2 +L 56.660473 7.532973 +L 56.993446 7.865946 +L 57.326419 8.198919 +L 57.659392 8.531892 +L 57.992365 8.864865 +L 58.325338 9.197838 +L 58.658311 9.530811 +L 58.991284 9.863784 +L 59.324257 10.196757 +L 59.65723 10.52973 +L 59.990203 10.862703 +L 60.323176 11.195676 +L 60.656149 11.528649 +L 60.989122 11.861622 +L 61.322095 12.194595 +L 61.655068 12.527568 +L 61.988041 12.860541 +L 62.321014 13.193514 +L 62.653986 13.526486 +L 62.986959 13.859459 +L 63.319932 14.192432 +L 63.652905 14.525405 +L 63.985878 14.858378 +L 64.318851 15.191351 +L 64.651824 15.524324 +L 64.984797 15.857297 +L 65.31777 16.19027 +L 65.650743 16.523243 +L 65.983716 16.856216 +L 66.316689 17.189189 +L 66.649662 17.522162 +L 66.982635 17.855135 +L 67.315608 18.188108 +L 67.648581 18.521081 +L 67.981554 18.854054 +L 68.314527 19.187027 +L 68.6475 19.52 +L 68.980473 19.852973 +L 69.313446 20.185946 +L 69.646419 20.518919 +L 69.979392 20.851892 +L 70.312365 21.184865 +L 70.645338 21.517838 +L 70.978311 21.850811 +L 71.311284 22.183784 +L 71.644257 22.516757 +L 71.97723 22.84973 +L 72.310203 23.182703 +L 72.643176 23.515676 +L 72.976149 23.848649 +L 73.309122 24.181622 +L 73.642095 24.514595 +L 73.975068 24.847568 +L 74.308041 25.180541 +L 74.641014 25.513514 +L 74.973986 25.846486 +L 75.306959 26.179459 +L 75.639932 26.512432 +L 75.972905 26.845405 +L 76.305878 27.178378 +L 76.638851 27.511351 +L 76.971824 27.844324 +L 77.304797 28.177297 +L 77.63777 28.51027 +L 77.970743 28.843243 +L 78.303716 29.176216 +L 78.636689 29.509189 +L 78.969662 29.842162 +L 79.302635 30.175135 +L 79.635608 30.508108 +L 79.968581 30.841081 +L 80.301554 31.174054 +L 80.634527 31.507027 +L 80.9675 31.84 +L 81.300473 32.172973 +L 81.633446 32.505946 +L 81.966419 32.838919 +L 82.299392 33.171892 +L 82.632365 33.504865 +L 82.965338 33.837838 +L 83.298311 34.170811 +L 83.631284 34.503784 +L 83.964257 34.836757 +L 84.29723 35.16973 +L 84.630203 35.502703 +L 84.963176 35.835676 +L 85.296149 36.168649 +L 85.629122 36.501622 +L 85.962095 36.834595 +L 86.295068 37.167568 +L 86.628041 37.500541 +L 86.961014 37.833514 +L 87.293986 38.166486 +L 87.626959 38.499459 +L 87.959932 38.832432 +L 88.292905 39.165405 +L 88.625878 39.498378 +L 88.958851 39.831351 +L 89.291824 40.164324 +L 89.624797 40.497297 +L 89.95777 40.83027 +L 90.290743 41.163243 +L 90.623716 41.496216 +L 90.956689 41.829189 +L 91.289662 42.162162 +L 91.622635 42.495135 +L 91.955608 42.828108 +L 92.288581 43.161081 +L 92.621554 43.494054 +L 92.954527 43.827027 +L 93.2875 44.16 +L 93.620473 44.492973 +L 93.953446 44.825946 +L 94.286419 45.158919 +L 94.619392 45.491892 +L 94.952365 45.824865 +L 95.285338 46.157838 +L 95.618311 46.490811 +L 95.951284 46.823784 +L 96.284257 47.156757 +L 96.61723 47.48973 +L 96.950203 47.822703 +L 97.283176 48.155676 +L 97.616149 48.488649 +L 97.949122 48.821622 +L 98.282095 49.154595 +L 98.615068 49.487568 +L 98.948041 49.820541 +L 99.281014 50.153514 +L 99.613986 50.486486 +L 99.946959 50.819459 +L 100.279932 51.152432 +L 100.612905 51.485405 +L 100.945878 51.818378 +L 101.278851 52.151351 +L 101.611824 52.484324 +L 101.944797 52.817297 +L 102.27777 53.15027 +L 102.610743 53.483243 +L 102.943716 53.816216 +L 103.276689 54.149189 +L 103.609662 54.482162 +L 103.942635 54.815135 +L 104.275608 55.148108 +L 104.608581 55.481081 +L 104.941554 55.814054 +L 105.274527 56.147027 +L 105.6075 56.48 +L 105.940473 56.812973 +L 106.273446 57.145946 +L 106.606419 57.478919 +L 106.939392 57.811892 +L 107.272365 58.144865 +L 107.605338 58.477838 +L 107.938311 58.810811 +L 108.271284 59.143784 +L 108.604257 59.476757 +L 108.93723 59.80973 +L 109.270203 60.142703 +L 109.603176 60.475676 +L 109.936149 60.808649 +L 110.269122 61.141622 +L 110.602095 61.474595 +L 110.935068 61.807568 +L 111.268041 62.140541 +L 111.601014 62.473514 +L 111.933986 62.806486 +L 112.266959 63.139459 +L 112.599932 63.472432 +L 112.932905 63.805405 +L 113.265878 64.138378 +L 113.598851 64.471351 +L 113.931824 64.804324 +L 114.264797 65.137297 +L 114.59777 65.47027 +L 114.930743 65.803243 +L 115.263716 66.136216 +L 115.596689 66.469189 +L 115.929662 66.802162 +L 116.262635 67.135135 +L 116.595608 67.468108 +L 116.928581 67.801081 +L 117.261554 68.134054 +L 117.594527 68.467027 +L 117.9275 68.8 +L 118.260473 69.132973 +L 118.593446 69.465946 +L 118.926419 69.798919 +L 119.259392 70.131892 +L 119.592365 70.464865 +L 119.925338 70.797838 +L 120.258311 71.130811 +L 120.591284 71.463784 +L 120.924257 71.796757 +L 121.25723 72.12973 +L 121.590203 72.462703 +L 121.923176 72.795676 +L 122.256149 73.128649 +L 122.589122 73.461622 +L 122.922095 73.794595 +L 123.255068 74.127568 +L 123.588041 74.460541 +L 123.921014 74.793514 +L 124.253986 75.126486 +L 124.586959 75.459459 +L 124.919932 75.792432 +L 125.252905 76.125405 +L 125.585878 76.458378 +L 125.918851 76.791351 +L 126.251824 77.124324 +L 126.584797 77.457297 +L 126.91777 77.79027 +L 127.250743 78.123243 +L 127.583716 78.456216 +L 127.916689 78.789189 +L 128.249662 79.122162 +L 128.582635 79.455135 +L 128.915608 79.788108 +L 129.248581 80.121081 +L 129.581554 80.454054 +L 129.914527 80.787027 +L 130.2475 81.12 +L 130.580473 81.452973 +L 130.913446 81.785946 +L 131.246419 82.118919 +L 131.579392 82.451892 +L 131.912365 82.784865 +L 132.245338 83.117838 +L 132.578311 83.450811 +L 132.911284 83.783784 +L 133.244257 84.116757 +L 133.57723 84.44973 +L 133.910203 84.782703 +L 134.243176 85.115676 +L 134.576149 85.448649 +L 134.909122 85.781622 +L 135.242095 86.114595 +L 135.575068 86.447568 +L 135.908041 86.780541 +L 136.241014 87.113514 +L 136.573986 87.446486 +L 136.906959 87.779459 +L 137.239932 88.112432 +L 137.572905 88.445405 +L 137.905878 88.778378 +L 138.238851 89.111351 +L 138.571824 89.444324 +L 138.904797 89.777297 +L 139.23777 90.11027 +L 139.570743 90.443243 +L 139.903716 90.776216 +L 140.236689 91.109189 +L 140.569662 91.442162 +L 140.902635 91.775135 +L 141.235608 92.108108 +L 141.568581 92.441081 +L 141.901554 92.774054 +L 142.234527 93.107027 +L 142.5675 93.44 +L 142.900473 93.772973 +L 143.233446 94.105946 +L 143.566419 94.438919 +L 143.899392 94.771892 +L 144.232365 95.104865 +L 144.565338 95.437838 +L 144.898311 95.770811 +L 145.231284 96.103784 +L 145.564257 96.436757 +L 145.89723 96.76973 +L 146.230203 97.102703 +L 146.563176 97.435676 +L 146.896149 97.768649 +L 147.229122 98.101622 +L 147.562095 98.434595 +L 147.895068 98.767568 +L 148.228041 99.100541 +L 148.561014 99.433514 +L 148.893986 99.766486 +L 149.226959 100.099459 +L 149.559932 100.432432 +L 149.892905 100.765405 +L 150.225878 101.098378 +L 150.558851 101.431351 +L 150.891824 101.764324 +L 151.224797 102.097297 +L 151.55777 102.43027 +L 151.890743 102.763243 +L 152.223716 103.096216 +L 152.556689 103.429189 +L 152.889662 103.762162 +L 153.222635 104.095135 +L 153.555608 104.428108 +L 153.888581 104.761081 +L 154.221554 105.094054 +L 154.554527 105.427027 +L 154.8875 105.76 +L 155.220473 106.092973 +L 155.553446 106.425946 +L 155.886419 106.758919 +L 156.219392 107.091892 +L 156.552365 107.424865 +L 156.885338 107.757838 +L 157.218311 108.090811 +L 157.551284 108.423784 +L 157.884257 108.756757 +L 158.21723 109.08973 +L 158.550203 109.422703 +L 158.883176 109.755676 +L 159.216149 110.088649 +L 159.549122 110.421622 +L 159.882095 110.754595 +L 160.215068 111.087568 +L 160.548041 111.420541 +L 160.881014 111.753514 +L 161.213986 112.086486 +L 161.546959 112.419459 +L 161.879932 112.752432 +L 162.212905 113.085405 +L 162.545878 113.418378 +L 162.878851 113.751351 +L 163.211824 114.084324 +L 163.544797 114.417297 +L 163.87777 114.75027 +L 164.210743 115.083243 +L 164.543716 115.416216 +L 164.876689 115.749189 +L 165.209662 116.082162 +L 165.542635 116.415135 +L 165.875608 116.748108 +L 166.208581 117.081081 +L 166.541554 117.414054 +L 166.874527 117.747027 +L 167.2075 118.08 +L 167.540473 118.412973 +L 167.873446 118.745946 +L 168.206419 119.078919 +L 168.539392 119.411892 +L 168.872365 119.744865 +L 169.205338 120.077838 +L 169.538311 120.410811 +L 169.871284 120.743784 +L 170.204257 121.076757 +L 170.53723 121.40973 +L 170.870203 121.742703 +L 171.203176 122.075676 +L 171.536149 122.408649 +L 171.869122 122.741622 +L 172.202095 123.074595 +L 172.535068 123.407568 +L 172.868041 123.740541 +L 173.201014 124.073514 +L 173.533986 124.406486 +L 173.866959 124.739459 +L 174.199932 125.072432 +L 174.532905 125.405405 +L 174.865878 125.738378 +L 175.198851 126.071351 +L 175.531824 126.404324 +L 175.864797 126.737297 +L 176.19777 127.07027 +L 176.530743 127.403243 +L 176.863716 127.736216 +L 177.196689 128.069189 +L 177.529662 128.402162 +L 177.862635 128.735135 +L 178.195608 129.068108 +L 178.528581 129.401081 +L 178.861554 129.734054 +L 179.194527 130.067027 +L 179.5275 130.4 +L 179.860473 130.732973 +L 180.193446 131.065946 +L 180.526419 131.398919 +L 180.859392 131.731892 +L 181.192365 132.064865 +L 181.525338 132.397838 +L 181.858311 132.730811 +L 182.191284 133.063784 +L 182.524257 133.396757 +L 182.85723 133.72973 +L 183.190203 134.062703 +L 183.523176 134.395676 +L 183.856149 134.728649 +L 184.189122 135.061622 +L 184.522095 135.394595 +L 184.855068 135.727568 +L 185.188041 136.060541 +L 185.521014 136.393514 +L 185.853986 136.726486 +L 186.186959 137.059459 +L 186.519932 137.392432 +L 186.852905 137.725405 +L 187.185878 138.058378 +L 187.518851 138.391351 +L 187.851824 138.724324 +L 188.184797 139.057297 +L 188.51777 139.39027 +L 188.850743 139.723243 +L 189.183716 140.056216 +L 189.516689 140.389189 +L 189.849662 140.722162 +L 190.182635 141.055135 +L 190.515608 141.388108 +L 190.848581 141.721081 +L 191.181554 142.054054 +L 191.514527 142.387027 +L 191.8475 142.72 +L 192.180473 143.052973 +L 192.513446 143.385946 +L 192.846419 143.718919 +L 193.179392 144.051892 +L 193.512365 144.384865 +L 193.845338 144.717838 +L 194.178311 145.050811 +L 194.511284 145.383784 +L 194.844257 145.716757 +L 195.17723 146.04973 +L 195.510203 146.382703 +L 195.843176 146.715676 +L 196.176149 147.048649 +L 196.509122 147.381622 +L 196.842095 147.714595 +L 197.175068 148.047568 +L 197.508041 148.380541 +L 197.841014 148.713514 +L 198.173986 149.046486 +L 198.506959 149.379459 +L 198.839932 149.712432 +L 199.172905 150.045405 +L 199.505878 150.378378 +L 199.838851 150.711351 +L 200.171824 151.044324 +L 200.504797 151.377297 +L 200.83777 151.71027 +L 201.170743 152.043243 +L 201.503716 152.376216 +L 201.836689 152.709189 +L 202.169662 153.042162 +L 202.502635 153.375135 +L 202.835608 153.708108 +L 203.168581 154.041081 +L 203.501554 154.374054 +L 203.834527 154.707027 +L 204.1675 155.04 +L 204.500473 155.372973 +L 204.833446 155.705946 +L 205.166419 156.038919 +L 205.499392 156.371892 +L 205.832365 156.704865 +L 206.165338 157.037838 +L 206.498311 157.370811 +L 206.831284 157.703784 +L 207.164257 158.036757 +L 207.49723 158.36973 +L 207.830203 158.702703 +L 208.163176 159.035676 +L 208.496149 159.368649 +L 208.829122 159.701622 +L 209.162095 160.034595 +L 209.495068 160.367568 +L 209.828041 160.700541 +L 210.161014 161.033514 +L 210.493986 161.366486 +L 210.826959 161.699459 +L 211.159932 162.032432 +L 211.492905 162.365405 +L 211.825878 162.698378 +L 212.158851 163.031351 +L 212.491824 163.364324 +L 212.824797 163.697297 +L 213.15777 164.03027 +L 213.490743 164.363243 +L 213.823716 164.696216 +L 214.156689 165.029189 +L 214.489662 165.362162 +L 214.822635 165.695135 +L 215.155608 166.028108 +L 215.488581 166.361081 +L 215.821554 166.694054 +L 216.154527 167.027027 +L 216.4875 167.36 +L 216.820473 167.692973 +L 217.153446 168.025946 +L 217.486419 168.358919 +L 217.819392 168.691892 +L 218.152365 169.024865 +L 218.485338 169.357838 +L 218.818311 169.690811 +L 219.151284 170.023784 +L 219.484257 170.356757 +L 219.81723 170.68973 +L 220.150203 171.022703 +L 220.483176 171.355676 +L 220.816149 171.688649 +L 221.149122 172.021622 +L 221.482095 172.354595 +L 221.815068 172.687568 +L 222.148041 173.020541 +L 222.481014 173.353514 +L 222.813986 173.686486 +L 223.146959 174.019459 +L 223.479932 174.352432 +L 223.812905 174.685405 +L 224.145878 175.018378 +L 224.478851 175.351351 +L 224.811824 175.684324 +L 225.144797 176.017297 +L 225.47777 176.35027 +L 225.810743 176.683243 +L 226.143716 177.016216 +L 226.476689 177.349189 +L 226.809662 177.682162 +L 227.142635 178.015135 +L 227.475608 178.348108 +L 227.808581 178.681081 +L 228.141554 179.014054 +L 228.474527 179.347027 +L 228.8075 179.68 +L 229.140473 180.012973 +L 229.473446 180.345946 +L 229.806419 180.678919 +L 230.139392 181.011892 +L 230.472365 181.344865 +L 230.805338 181.677838 +L 231.138311 182.010811 +L 231.471284 182.343784 +L 231.804257 182.676757 +L 232.13723 183.00973 +L 232.470203 183.342703 +L 232.803176 183.675676 +L 233.136149 184.008649 +L 233.469122 184.341622 +L 233.802095 184.674595 +L 234.135068 185.007568 +L 234.468041 185.340541 +L 234.801014 185.673514 +L 235.133986 186.006486 +L 235.466959 186.339459 +L 235.799932 186.672432 +L 236.132905 187.005405 +L 236.465878 187.338378 +L 236.798851 187.671351 +L 237.131824 188.004324 +L 237.464797 188.337297 +L 237.79777 188.67027 +L 238.130743 189.003243 +L 238.463716 189.336216 +L 238.796689 189.669189 +L 239.129662 190.002162 +L 239.462635 190.335135 +L 239.795608 190.668108 +L 240.128581 191.001081 +L 240.461554 191.334054 +L 240.794527 191.667027 +L 241.1275 192 +L 241.460473 192.332973 +L 241.793446 192.665946 +L 242.126419 192.998919 +L 242.459392 193.331892 +L 242.792365 193.664865 +L 243.125338 193.997838 +L 243.458311 194.330811 +L 243.791284 194.663784 +L 244.124257 194.996757 +L 244.45723 195.32973 +L 244.790203 195.662703 +L 245.123176 195.995676 +L 245.456149 196.328649 +L 245.789122 196.661622 +L 246.122095 196.994595 +L 246.455068 197.327568 +L 246.788041 197.660541 +L 247.121014 197.993514 +L 247.453986 198.326486 +L 247.786959 198.659459 +L 248.119932 198.992432 +L 248.452905 199.325405 +L 248.785878 199.658378 +L 249.118851 199.991351 +L 249.451824 200.324324 +L 249.784797 200.657297 +L 250.11777 200.99027 +L 250.450743 201.323243 +L 250.783716 201.656216 +L 251.116689 201.989189 +L 251.449662 202.322162 +L 251.782635 202.655135 +L 252.115608 202.988108 +L 252.448581 203.321081 +L 252.781554 203.654054 +L 253.114527 203.987027 +L 253.4475 204.32 +L 253.780473 204.652973 +L 254.113446 204.985946 +L 254.446419 205.318919 +L 254.779392 205.651892 +L 255.112365 205.984865 +L 255.445338 206.317838 +L 255.778311 206.650811 +L 256.111284 206.983784 +L 256.444257 207.316757 +L 256.77723 207.64973 +L 257.110203 207.982703 +L 257.443176 208.315676 +L 257.776149 208.648649 +L 258.109122 208.981622 +L 258.442095 209.314595 +L 258.775068 209.647568 +L 259.108041 209.980541 +L 259.441014 210.313514 +L 259.773986 210.646486 +L 260.106959 210.979459 +L 260.439932 211.312432 +L 260.772905 211.645405 +L 261.105878 211.978378 +L 261.438851 212.311351 +L 261.771824 212.644324 +L 262.104797 212.977297 +L 262.43777 213.31027 +L 262.770743 213.643243 +L 263.103716 213.976216 +L 263.436689 214.309189 +L 263.769662 214.642162 +L 264.102635 214.975135 +L 264.435608 215.308108 +L 264.768581 215.641081 +L 265.101554 215.974054 +L 265.434527 216.307027 +L 265.7675 216.64 +L 266.100473 216.972973 +L 266.433446 217.305946 +L 266.766419 217.638919 +L 267.099392 217.971892 +L 267.432365 218.304865 +L 267.765338 218.637838 +L 268.098311 218.970811 +L 268.431284 219.303784 +L 268.764257 219.636757 +L 269.09723 219.96973 +L 269.430203 220.302703 +L 269.763176 220.635676 +L 270.096149 220.968649 +L 270.429122 221.301622 +L 270.762095 221.634595 +L 271.095068 221.967568 +L 271.428041 222.300541 +L 271.761014 222.633514 +L 272.093986 222.966486 +L 272.426959 223.299459 +L 272.759932 223.632432 +L 273.092905 223.965405 +L 273.425878 224.298378 +L 273.758851 224.631351 +L 274.091824 224.964324 +L 274.424797 225.297297 +L 274.75777 225.63027 +L 275.090743 225.963243 +L 275.423716 226.296216 +L 275.756689 226.629189 +L 276.089662 226.962162 +L 276.422635 227.295135 +L 276.755608 227.628108 +L 277.088581 227.961081 +L 277.421554 228.294054 +L 277.754527 228.627027 +L 278.0875 228.96 +L 278.420473 229.292973 +L 278.753446 229.625946 +L 279.086419 229.958919 +L 279.419392 230.291892 +L 279.752365 230.624865 +L 280.085338 230.957838 +L 280.418311 231.290811 +L 280.751284 231.623784 +L 281.084257 231.956757 +L 281.41723 232.28973 +L 281.750203 232.622703 +L 282.083176 232.955676 +L 282.416149 233.288649 +L 282.749122 233.621622 +L 283.082095 233.954595 +L 283.415068 234.287568 +L 283.748041 234.620541 +L 284.081014 234.953514 +L 284.413986 235.286486 +L 284.746959 235.619459 +L 285.079932 235.952432 +L 285.412905 236.285405 +L 285.745878 236.618378 +L 286.078851 236.951351 +L 286.411824 237.284324 +L 286.744797 237.617297 +L 287.07777 237.95027 +L 287.410743 238.283243 +L 287.743716 238.616216 +L 288.076689 238.949189 +L 288.409662 239.282162 +L 288.742635 239.615135 +L 289.075608 239.948108 +L 289.408581 240.281081 +L 289.741554 240.614054 +L 290.074527 240.947027 +L 290.4075 241.28 +L 290.740473 241.612973 +L 291.073446 241.945946 +L 291.406419 242.278919 +L 291.739392 242.611892 +L 292.072365 242.944865 +L 292.405338 243.277838 +L 292.738311 243.610811 +L 293.071284 243.943784 +L 293.404257 244.276757 +L 293.73723 244.60973 +L 294.070203 244.942703 +L 294.403176 245.275676 +L 294.736149 245.608649 +L 295.069122 245.941622 +L 295.402095 246.274595 +L 295.735068 246.607568 +L 296.068041 246.940541 +L 296.401014 247.273514 +L 296.733986 247.606486 +L 297.066959 247.939459 +L 297.399932 248.272432 +L 297.732905 248.605405 +L 298.065878 248.938378 +L 298.398851 249.271351 +L 298.731824 249.604324 +L 299.064797 249.937297 +L 299.39777 250.27027 +L 299.730743 250.603243 +L 300.063716 250.936216 +L 300.396689 251.269189 +L 300.729662 251.602162 +L 301.062635 251.935135 +L 301.395608 252.268108 +L 301.728581 252.601081 +L 302.061554 252.934054 +L 302.394527 253.267027 +L 302.7275 253.6 +L 303.060473 253.932973 +L 303.393446 254.265946 +L 303.726419 254.598919 +L 304.059392 254.931892 +L 304.392365 255.264865 +L 304.725338 255.597838 +L 305.058311 255.930811 +L 305.391284 256.263784 +L 305.724257 256.596757 +L 306.05723 256.92973 +L 306.390203 257.262703 +L 306.723176 257.595676 +L 307.056149 257.928649 +L 307.389122 258.261622 +L 307.722095 258.594595 +L 308.055068 258.927568 +L 308.388041 259.260541 +L 308.721014 259.593514 +L 309.053986 259.926486 +L 309.386959 260.259459 +L 309.719932 260.592432 +L 310.052905 260.925405 +L 310.385878 261.258378 +L 310.718851 261.591351 +L 311.051824 261.924324 +L 311.384797 262.257297 +L 311.71777 262.59027 +L 312.050743 262.923243 +L 312.383716 263.256216 +L 312.716689 263.589189 +L 313.049662 263.922162 +L 313.382635 264.255135 +L 313.715608 264.588108 +L 314.048581 264.921081 +L 314.381554 265.254054 +L 314.714527 265.587027 +L 315.0475 265.92 +L 315.380473 266.252973 +L 315.713446 266.585946 +L 316.046419 266.918919 +L 316.379392 267.251892 +L 316.712365 267.584865 +L 317.045338 267.917838 +L 317.378311 268.250811 +L 317.711284 268.583784 +L 318.044257 268.916757 +L 318.37723 269.24973 +L 318.710203 269.582703 +L 319.043176 269.915676 +L 319.376149 270.248649 +L 319.709122 270.581622 +L 320.042095 270.914595 +L 320.375068 271.247568 +L 320.708041 271.580541 +L 321.041014 271.913514 +L 321.373986 272.246486 +L 321.706959 272.579459 +L 322.039932 272.912432 +L 322.372905 273.245405 +L 322.705878 273.578378 +L 323.038851 273.911351 +L 323.371824 274.244324 +L 323.704797 274.577297 +L 324.03777 274.91027 +L 324.370743 275.243243 +L 324.703716 275.576216 +L 325.036689 275.909189 +L 325.369662 276.242162 +L 325.702635 276.575135 +L 326.035608 276.908108 +L 326.368581 277.241081 +L 326.701554 277.574054 +L 327.034527 277.907027 +L 327.3675 278.24 +L 327.700473 278.572973 +L 328.033446 278.905946 +L 328.366419 279.238919 +L 328.699392 279.571892 +L 329.032365 279.904865 +L 329.365338 280.237838 +L 329.698311 280.570811 +L 330.031284 280.903784 +L 330.364257 281.236757 +L 330.69723 281.56973 +L 331.030203 281.902703 +L 331.363176 282.235676 +L 331.696149 282.568649 +L 332.029122 282.901622 +L 332.362095 283.234595 +L 332.695068 283.567568 +L 333.028041 283.900541 +L 333.361014 284.233514 +L 333.693986 284.566486 +L 334.026959 284.899459 +L 334.359932 285.232432 +L 334.692905 285.565405 +L 335.025878 285.898378 +L 335.358851 286.231351 +L 335.691824 286.564324 +L 336.024797 286.897297 +L 336.35777 287.23027 +L 336.690743 287.563243 +L 337.023716 287.896216 +L 337.356689 288.229189 +L 337.689662 288.562162 +L 338.022635 288.895135 +L 338.355608 289.228108 +L 338.688581 289.561081 +L 339.021554 289.894054 +L 339.354527 290.227027 +L 339.6875 290.56 +L 340.020473 290.892973 +L 340.353446 291.225946 +L 340.686419 291.558919 +L 341.019392 291.891892 +L 341.352365 292.224865 +L 341.685338 292.557838 +L 342.018311 292.890811 +L 342.351284 293.223784 +L 342.684257 293.556757 +L 343.01723 293.88973 +L 343.350203 294.222703 +L 343.683176 294.555676 +L 344.016149 294.888649 +L 344.349122 295.221622 +L 344.682095 295.554595 +L 345.015068 295.887568 +L 345.348041 296.220541 +L 345.681014 296.553514 +L 346.013986 296.886486 +L 346.346959 297.219459 +L 346.679932 297.552432 +L 347.012905 297.885405 +L 347.345878 298.218378 +L 347.678851 298.551351 +L 348.011824 298.884324 +L 348.344797 299.217297 +L 348.67777 299.55027 +L 349.010743 299.883243 +L 349.343716 300.216216 +L 349.676689 300.549189 +L 350.009662 300.882162 +L 350.342635 301.215135 +L 350.675608 301.548108 +L 351.008581 301.881081 +L 351.341554 302.214054 +L 351.674527 302.547027 +L 352.0075 302.88 +L 352.340473 303.212973 +L 352.673446 303.545946 +L 353.006419 303.878919 +L 353.339392 304.211892 +L 353.672365 304.544865 +L 354.005338 304.877838 +L 354.338311 305.210811 +L 354.671284 305.543784 +L 355.004257 305.876757 +L 355.33723 306.20973 +L 355.670203 306.542703 +L 356.003176 306.875676 +L 356.336149 307.208649 +L 356.669122 307.541622 +L 357.002095 307.874595 +L 357.335068 308.207568 +L 357.668041 308.540541 +L 358.001014 308.873514 +L 358.333986 309.206486 +L 358.666959 309.539459 +L 358.999932 309.872432 +L 359.332905 310.205405 +L 359.665878 310.538378 +L 359.998851 310.871351 +L 360.331824 311.204324 +L 360.664797 311.537297 +L 360.99777 311.87027 +L 361.330743 312.203243 +L 361.663716 312.536216 +L 361.996689 312.869189 +L 362.329662 313.202162 +L 362.662635 313.535135 +L 362.995608 313.868108 +L 363.328581 314.201081 +L 363.661554 314.534054 +L 363.994527 314.867027 +L 364.3275 315.2 +L 364.660473 315.532973 +L 364.993446 315.865946 +L 365.326419 316.198919 +L 365.659392 316.531892 +L 365.992365 316.864865 +L 366.325338 317.197838 +L 366.658311 317.530811 +L 366.991284 317.863784 +L 367.324257 318.196757 +L 367.65723 318.52973 +L 367.990203 318.862703 +L 368.323176 319.195676 +L 368.656149 319.528649 +L 368.989122 319.861622 +L 369.322095 320.194595 +L 369.655068 320.527568 +L 369.988041 320.860541 +L 370.321014 321.193514 +L 370.653986 321.526486 +L 370.986959 321.859459 +L 371.319932 322.192432 +L 371.652905 322.525405 +L 371.985878 322.858378 +L 372.318851 323.191351 +L 372.651824 323.524324 +L 372.984797 323.857297 +L 373.31777 324.19027 +L 373.650743 324.523243 +L 373.983716 324.856216 +L 374.316689 325.189189 +L 374.649662 325.522162 +L 374.982635 325.855135 +L 375.315608 326.188108 +L 375.648581 326.521081 +L 375.981554 326.854054 +L 376.314527 327.187027 +L 376.6475 327.52 +L 376.980473 327.852973 +L 377.313446 328.185946 +L 377.646419 328.518919 +L 377.979392 328.851892 +L 378.312365 329.184865 +L 378.645338 329.517838 +L 378.978311 329.850811 +L 379.311284 330.183784 +L 379.644257 330.516757 +L 379.97723 330.84973 +L 380.310203 331.182703 +L 380.643176 331.515676 +L 380.976149 331.848649 +L 381.309122 332.181622 +L 381.642095 332.514595 +L 381.975068 332.847568 +L 382.308041 333.180541 +L 382.641014 333.513514 +L 382.973986 333.846486 +L 383.306959 334.179459 +L 383.639932 334.512432 +L 383.972905 334.845405 +L 384.305878 335.178378 +L 384.638851 335.511351 +L 384.971824 335.844324 +L 385.304797 336.177297 +L 385.63777 336.51027 +L 385.970743 336.843243 +L 386.303716 337.176216 +L 386.636689 337.509189 +L 386.969662 337.842162 +L 387.302635 338.175135 +L 387.635608 338.508108 +L 387.968581 338.841081 +L 388.301554 339.174054 +L 388.634527 339.507027 +L 388.9675 339.84 +L 388.9675 -59.328 +L 388.9675 -59.328 +L 388.634527 -59.328 +L 388.301554 -59.328 +L 387.968581 -59.328 +L 387.635608 -59.328 +L 387.302635 -59.328 +L 386.969662 -59.328 +L 386.636689 -59.328 +L 386.303716 -59.328 +L 385.970743 -59.328 +L 385.63777 -59.328 +L 385.304797 -59.328 +L 384.971824 -59.328 +L 384.638851 -59.328 +L 384.305878 -59.328 +L 383.972905 -59.328 +L 383.639932 -59.328 +L 383.306959 -59.328 +L 382.973986 -59.328 +L 382.641014 -59.328 +L 382.308041 -59.328 +L 381.975068 -59.328 +L 381.642095 -59.328 +L 381.309122 -59.328 +L 380.976149 -59.328 +L 380.643176 -59.328 +L 380.310203 -59.328 +L 379.97723 -59.328 +L 379.644257 -59.328 +L 379.311284 -59.328 +L 378.978311 -59.328 +L 378.645338 -59.328 +L 378.312365 -59.328 +L 377.979392 -59.328 +L 377.646419 -59.328 +L 377.313446 -59.328 +L 376.980473 -59.328 +L 376.6475 -59.328 +L 376.314527 -59.328 +L 375.981554 -59.328 +L 375.648581 -59.328 +L 375.315608 -59.328 +L 374.982635 -59.328 +L 374.649662 -59.328 +L 374.316689 -59.328 +L 373.983716 -59.328 +L 373.650743 -59.328 +L 373.31777 -59.328 +L 372.984797 -59.328 +L 372.651824 -59.328 +L 372.318851 -59.328 +L 371.985878 -59.328 +L 371.652905 -59.328 +L 371.319932 -59.328 +L 370.986959 -59.328 +L 370.653986 -59.328 +L 370.321014 -59.328 +L 369.988041 -59.328 +L 369.655068 -59.328 +L 369.322095 -59.328 +L 368.989122 -59.328 +L 368.656149 -59.328 +L 368.323176 -59.328 +L 367.990203 -59.328 +L 367.65723 -59.328 +L 367.324257 -59.328 +L 366.991284 -59.328 +L 366.658311 -59.328 +L 366.325338 -59.328 +L 365.992365 -59.328 +L 365.659392 -59.328 +L 365.326419 -59.328 +L 364.993446 -59.328 +L 364.660473 -59.328 +L 364.3275 -59.328 +L 363.994527 -59.328 +L 363.661554 -59.328 +L 363.328581 -59.328 +L 362.995608 -59.328 +L 362.662635 -59.328 +L 362.329662 -59.328 +L 361.996689 -59.328 +L 361.663716 -59.328 +L 361.330743 -59.328 +L 360.99777 -59.328 +L 360.664797 -59.328 +L 360.331824 -59.328 +L 359.998851 -59.328 +L 359.665878 -59.328 +L 359.332905 -59.328 +L 358.999932 -59.328 +L 358.666959 -59.328 +L 358.333986 -59.328 +L 358.001014 -59.328 +L 357.668041 -59.328 +L 357.335068 -59.328 +L 357.002095 -59.328 +L 356.669122 -59.328 +L 356.336149 -59.328 +L 356.003176 -59.328 +L 355.670203 -59.328 +L 355.33723 -59.328 +L 355.004257 -59.328 +L 354.671284 -59.328 +L 354.338311 -59.328 +L 354.005338 -59.328 +L 353.672365 -59.328 +L 353.339392 -59.328 +L 353.006419 -59.328 +L 352.673446 -59.328 +L 352.340473 -59.328 +L 352.0075 -59.328 +L 351.674527 -59.328 +L 351.341554 -59.328 +L 351.008581 -59.328 +L 350.675608 -59.328 +L 350.342635 -59.328 +L 350.009662 -59.328 +L 349.676689 -59.328 +L 349.343716 -59.328 +L 349.010743 -59.328 +L 348.67777 -59.328 +L 348.344797 -59.328 +L 348.011824 -59.328 +L 347.678851 -59.328 +L 347.345878 -59.328 +L 347.012905 -59.328 +L 346.679932 -59.328 +L 346.346959 -59.328 +L 346.013986 -59.328 +L 345.681014 -59.328 +L 345.348041 -59.328 +L 345.015068 -59.328 +L 344.682095 -59.328 +L 344.349122 -59.328 +L 344.016149 -59.328 +L 343.683176 -59.328 +L 343.350203 -59.328 +L 343.01723 -59.328 +L 342.684257 -59.328 +L 342.351284 -59.328 +L 342.018311 -59.328 +L 341.685338 -59.328 +L 341.352365 -59.328 +L 341.019392 -59.328 +L 340.686419 -59.328 +L 340.353446 -59.328 +L 340.020473 -59.328 +L 339.6875 -59.328 +L 339.354527 -59.328 +L 339.021554 -59.328 +L 338.688581 -59.328 +L 338.355608 -59.328 +L 338.022635 -59.328 +L 337.689662 -59.328 +L 337.356689 -59.328 +L 337.023716 -59.328 +L 336.690743 -59.328 +L 336.35777 -59.328 +L 336.024797 -59.328 +L 335.691824 -59.328 +L 335.358851 -59.328 +L 335.025878 -59.328 +L 334.692905 -59.328 +L 334.359932 -59.328 +L 334.026959 -59.328 +L 333.693986 -59.328 +L 333.361014 -59.328 +L 333.028041 -59.328 +L 332.695068 -59.328 +L 332.362095 -59.328 +L 332.029122 -59.328 +L 331.696149 -59.328 +L 331.363176 -59.328 +L 331.030203 -59.328 +L 330.69723 -59.328 +L 330.364257 -59.328 +L 330.031284 -59.328 +L 329.698311 -59.328 +L 329.365338 -59.328 +L 329.032365 -59.328 +L 328.699392 -59.328 +L 328.366419 -59.328 +L 328.033446 -59.328 +L 327.700473 -59.328 +L 327.3675 -59.328 +L 327.034527 -59.328 +L 326.701554 -59.328 +L 326.368581 -59.328 +L 326.035608 -59.328 +L 325.702635 -59.328 +L 325.369662 -59.328 +L 325.036689 -59.328 +L 324.703716 -59.328 +L 324.370743 -59.328 +L 324.03777 -59.328 +L 323.704797 -59.328 +L 323.371824 -59.328 +L 323.038851 -59.328 +L 322.705878 -59.328 +L 322.372905 -59.328 +L 322.039932 -59.328 +L 321.706959 -59.328 +L 321.373986 -59.328 +L 321.041014 -59.328 +L 320.708041 -59.328 +L 320.375068 -59.328 +L 320.042095 -59.328 +L 319.709122 -59.328 +L 319.376149 -59.328 +L 319.043176 -59.328 +L 318.710203 -59.328 +L 318.37723 -59.328 +L 318.044257 -59.328 +L 317.711284 -59.328 +L 317.378311 -59.328 +L 317.045338 -59.328 +L 316.712365 -59.328 +L 316.379392 -59.328 +L 316.046419 -59.328 +L 315.713446 -59.328 +L 315.380473 -59.328 +L 315.0475 -59.328 +L 314.714527 -59.328 +L 314.381554 -59.328 +L 314.048581 -59.328 +L 313.715608 -59.328 +L 313.382635 -59.328 +L 313.049662 -59.328 +L 312.716689 -59.328 +L 312.383716 -59.328 +L 312.050743 -59.328 +L 311.71777 -59.328 +L 311.384797 -59.328 +L 311.051824 -59.328 +L 310.718851 -59.328 +L 310.385878 -59.328 +L 310.052905 -59.328 +L 309.719932 -59.328 +L 309.386959 -59.328 +L 309.053986 -59.328 +L 308.721014 -59.328 +L 308.388041 -59.328 +L 308.055068 -59.328 +L 307.722095 -59.328 +L 307.389122 -59.328 +L 307.056149 -59.328 +L 306.723176 -59.328 +L 306.390203 -59.328 +L 306.05723 -59.328 +L 305.724257 -59.328 +L 305.391284 -59.328 +L 305.058311 -59.328 +L 304.725338 -59.328 +L 304.392365 -59.328 +L 304.059392 -59.328 +L 303.726419 -59.328 +L 303.393446 -59.328 +L 303.060473 -59.328 +L 302.7275 -59.328 +L 302.394527 -59.328 +L 302.061554 -59.328 +L 301.728581 -59.328 +L 301.395608 -59.328 +L 301.062635 -59.328 +L 300.729662 -59.328 +L 300.396689 -59.328 +L 300.063716 -59.328 +L 299.730743 -59.328 +L 299.39777 -59.328 +L 299.064797 -59.328 +L 298.731824 -59.328 +L 298.398851 -59.328 +L 298.065878 -59.328 +L 297.732905 -59.328 +L 297.399932 -59.328 +L 297.066959 -59.328 +L 296.733986 -59.328 +L 296.401014 -59.328 +L 296.068041 -59.328 +L 295.735068 -59.328 +L 295.402095 -59.328 +L 295.069122 -59.328 +L 294.736149 -59.328 +L 294.403176 -59.328 +L 294.070203 -59.328 +L 293.73723 -59.328 +L 293.404257 -59.328 +L 293.071284 -59.328 +L 292.738311 -59.328 +L 292.405338 -59.328 +L 292.072365 -59.328 +L 291.739392 -59.328 +L 291.406419 -59.328 +L 291.073446 -59.328 +L 290.740473 -59.328 +L 290.4075 -59.328 +L 290.074527 -59.328 +L 289.741554 -59.328 +L 289.408581 -59.328 +L 289.075608 -59.328 +L 288.742635 -59.328 +L 288.409662 -59.328 +L 288.076689 -59.328 +L 287.743716 -59.328 +L 287.410743 -59.328 +L 287.07777 -59.328 +L 286.744797 -59.328 +L 286.411824 -59.328 +L 286.078851 -59.328 +L 285.745878 -59.328 +L 285.412905 -59.328 +L 285.079932 -59.328 +L 284.746959 -59.328 +L 284.413986 -59.328 +L 284.081014 -59.328 +L 283.748041 -59.328 +L 283.415068 -59.328 +L 283.082095 -59.328 +L 282.749122 -59.328 +L 282.416149 -59.328 +L 282.083176 -59.328 +L 281.750203 -59.328 +L 281.41723 -59.328 +L 281.084257 -59.328 +L 280.751284 -59.328 +L 280.418311 -59.328 +L 280.085338 -59.328 +L 279.752365 -59.328 +L 279.419392 -59.328 +L 279.086419 -59.328 +L 278.753446 -59.328 +L 278.420473 -59.328 +L 278.0875 -59.328 +L 277.754527 -59.328 +L 277.421554 -59.328 +L 277.088581 -59.328 +L 276.755608 -59.328 +L 276.422635 -59.328 +L 276.089662 -59.328 +L 275.756689 -59.328 +L 275.423716 -59.328 +L 275.090743 -59.328 +L 274.75777 -59.328 +L 274.424797 -59.328 +L 274.091824 -59.328 +L 273.758851 -59.328 +L 273.425878 -59.328 +L 273.092905 -59.328 +L 272.759932 -59.328 +L 272.426959 -59.328 +L 272.093986 -59.328 +L 271.761014 -59.328 +L 271.428041 -59.328 +L 271.095068 -59.328 +L 270.762095 -59.328 +L 270.429122 -59.328 +L 270.096149 -59.328 +L 269.763176 -59.328 +L 269.430203 -59.328 +L 269.09723 -59.328 +L 268.764257 -59.328 +L 268.431284 -59.328 +L 268.098311 -59.328 +L 267.765338 -59.328 +L 267.432365 -59.328 +L 267.099392 -59.328 +L 266.766419 -59.328 +L 266.433446 -59.328 +L 266.100473 -59.328 +L 265.7675 -59.328 +L 265.434527 -59.328 +L 265.101554 -59.328 +L 264.768581 -59.328 +L 264.435608 -59.328 +L 264.102635 -59.328 +L 263.769662 -59.328 +L 263.436689 -59.328 +L 263.103716 -59.328 +L 262.770743 -59.328 +L 262.43777 -59.328 +L 262.104797 -59.328 +L 261.771824 -59.328 +L 261.438851 -59.328 +L 261.105878 -59.328 +L 260.772905 -59.328 +L 260.439932 -59.328 +L 260.106959 -59.328 +L 259.773986 -59.328 +L 259.441014 -59.328 +L 259.108041 -59.328 +L 258.775068 -59.328 +L 258.442095 -59.328 +L 258.109122 -59.328 +L 257.776149 -59.328 +L 257.443176 -59.328 +L 257.110203 -59.328 +L 256.77723 -59.328 +L 256.444257 -59.328 +L 256.111284 -59.328 +L 255.778311 -59.328 +L 255.445338 -59.328 +L 255.112365 -59.328 +L 254.779392 -59.328 +L 254.446419 -59.328 +L 254.113446 -59.328 +L 253.780473 -59.328 +L 253.4475 -59.328 +L 253.114527 -59.328 +L 252.781554 -59.328 +L 252.448581 -59.328 +L 252.115608 -59.328 +L 251.782635 -59.328 +L 251.449662 -59.328 +L 251.116689 -59.328 +L 250.783716 -59.328 +L 250.450743 -59.328 +L 250.11777 -59.328 +L 249.784797 -59.328 +L 249.451824 -59.328 +L 249.118851 -59.328 +L 248.785878 -59.328 +L 248.452905 -59.328 +L 248.119932 -59.328 +L 247.786959 -59.328 +L 247.453986 -59.328 +L 247.121014 -59.328 +L 246.788041 -59.328 +L 246.455068 -59.328 +L 246.122095 -59.328 +L 245.789122 -59.328 +L 245.456149 -59.328 +L 245.123176 -59.328 +L 244.790203 -59.328 +L 244.45723 -59.328 +L 244.124257 -59.328 +L 243.791284 -59.328 +L 243.458311 -59.328 +L 243.125338 -59.328 +L 242.792365 -59.328 +L 242.459392 -59.328 +L 242.126419 -59.328 +L 241.793446 -59.328 +L 241.460473 -59.328 +L 241.1275 -59.328 +L 240.794527 -59.328 +L 240.461554 -59.328 +L 240.128581 -59.328 +L 239.795608 -59.328 +L 239.462635 -59.328 +L 239.129662 -59.328 +L 238.796689 -59.328 +L 238.463716 -59.328 +L 238.130743 -59.328 +L 237.79777 -59.328 +L 237.464797 -59.328 +L 237.131824 -59.328 +L 236.798851 -59.328 +L 236.465878 -59.328 +L 236.132905 -59.328 +L 235.799932 -59.328 +L 235.466959 -59.328 +L 235.133986 -59.328 +L 234.801014 -59.328 +L 234.468041 -59.328 +L 234.135068 -59.328 +L 233.802095 -59.328 +L 233.469122 -59.328 +L 233.136149 -59.328 +L 232.803176 -59.328 +L 232.470203 -59.328 +L 232.13723 -59.328 +L 231.804257 -59.328 +L 231.471284 -59.328 +L 231.138311 -59.328 +L 230.805338 -59.328 +L 230.472365 -59.328 +L 230.139392 -59.328 +L 229.806419 -59.328 +L 229.473446 -59.328 +L 229.140473 -59.328 +L 228.8075 -59.328 +L 228.474527 -59.328 +L 228.141554 -59.328 +L 227.808581 -59.328 +L 227.475608 -59.328 +L 227.142635 -59.328 +L 226.809662 -59.328 +L 226.476689 -59.328 +L 226.143716 -59.328 +L 225.810743 -59.328 +L 225.47777 -59.328 +L 225.144797 -59.328 +L 224.811824 -59.328 +L 224.478851 -59.328 +L 224.145878 -59.328 +L 223.812905 -59.328 +L 223.479932 -59.328 +L 223.146959 -59.328 +L 222.813986 -59.328 +L 222.481014 -59.328 +L 222.148041 -59.328 +L 221.815068 -59.328 +L 221.482095 -59.328 +L 221.149122 -59.328 +L 220.816149 -59.328 +L 220.483176 -59.328 +L 220.150203 -59.328 +L 219.81723 -59.328 +L 219.484257 -59.328 +L 219.151284 -59.328 +L 218.818311 -59.328 +L 218.485338 -59.328 +L 218.152365 -59.328 +L 217.819392 -59.328 +L 217.486419 -59.328 +L 217.153446 -59.328 +L 216.820473 -59.328 +L 216.4875 -59.328 +L 216.154527 -59.328 +L 215.821554 -59.328 +L 215.488581 -59.328 +L 215.155608 -59.328 +L 214.822635 -59.328 +L 214.489662 -59.328 +L 214.156689 -59.328 +L 213.823716 -59.328 +L 213.490743 -59.328 +L 213.15777 -59.328 +L 212.824797 -59.328 +L 212.491824 -59.328 +L 212.158851 -59.328 +L 211.825878 -59.328 +L 211.492905 -59.328 +L 211.159932 -59.328 +L 210.826959 -59.328 +L 210.493986 -59.328 +L 210.161014 -59.328 +L 209.828041 -59.328 +L 209.495068 -59.328 +L 209.162095 -59.328 +L 208.829122 -59.328 +L 208.496149 -59.328 +L 208.163176 -59.328 +L 207.830203 -59.328 +L 207.49723 -59.328 +L 207.164257 -59.328 +L 206.831284 -59.328 +L 206.498311 -59.328 +L 206.165338 -59.328 +L 205.832365 -59.328 +L 205.499392 -59.328 +L 205.166419 -59.328 +L 204.833446 -59.328 +L 204.500473 -59.328 +L 204.1675 -59.328 +L 203.834527 -59.328 +L 203.501554 -59.328 +L 203.168581 -59.328 +L 202.835608 -59.328 +L 202.502635 -59.328 +L 202.169662 -59.328 +L 201.836689 -59.328 +L 201.503716 -59.328 +L 201.170743 -59.328 +L 200.83777 -59.328 +L 200.504797 -59.328 +L 200.171824 -59.328 +L 199.838851 -59.328 +L 199.505878 -59.328 +L 199.172905 -59.328 +L 198.839932 -59.328 +L 198.506959 -59.328 +L 198.173986 -59.328 +L 197.841014 -59.328 +L 197.508041 -59.328 +L 197.175068 -59.328 +L 196.842095 -59.328 +L 196.509122 -59.328 +L 196.176149 -59.328 +L 195.843176 -59.328 +L 195.510203 -59.328 +L 195.17723 -59.328 +L 194.844257 -59.328 +L 194.511284 -59.328 +L 194.178311 -59.328 +L 193.845338 -59.328 +L 193.512365 -59.328 +L 193.179392 -59.328 +L 192.846419 -59.328 +L 192.513446 -59.328 +L 192.180473 -59.328 +L 191.8475 -59.328 +L 191.514527 -59.328 +L 191.181554 -59.328 +L 190.848581 -59.328 +L 190.515608 -59.328 +L 190.182635 -59.328 +L 189.849662 -59.328 +L 189.516689 -59.328 +L 189.183716 -59.328 +L 188.850743 -59.328 +L 188.51777 -59.328 +L 188.184797 -59.328 +L 187.851824 -59.328 +L 187.518851 -59.328 +L 187.185878 -59.328 +L 186.852905 -59.328 +L 186.519932 -59.328 +L 186.186959 -59.328 +L 185.853986 -59.328 +L 185.521014 -59.328 +L 185.188041 -59.328 +L 184.855068 -59.328 +L 184.522095 -59.328 +L 184.189122 -59.328 +L 183.856149 -59.328 +L 183.523176 -59.328 +L 183.190203 -59.328 +L 182.85723 -59.328 +L 182.524257 -59.328 +L 182.191284 -59.328 +L 181.858311 -59.328 +L 181.525338 -59.328 +L 181.192365 -59.328 +L 180.859392 -59.328 +L 180.526419 -59.328 +L 180.193446 -59.328 +L 179.860473 -59.328 +L 179.5275 -59.328 +L 179.194527 -59.328 +L 178.861554 -59.328 +L 178.528581 -59.328 +L 178.195608 -59.328 +L 177.862635 -59.328 +L 177.529662 -59.328 +L 177.196689 -59.328 +L 176.863716 -59.328 +L 176.530743 -59.328 +L 176.19777 -59.328 +L 175.864797 -59.328 +L 175.531824 -59.328 +L 175.198851 -59.328 +L 174.865878 -59.328 +L 174.532905 -59.328 +L 174.199932 -59.328 +L 173.866959 -59.328 +L 173.533986 -59.328 +L 173.201014 -59.328 +L 172.868041 -59.328 +L 172.535068 -59.328 +L 172.202095 -59.328 +L 171.869122 -59.328 +L 171.536149 -59.328 +L 171.203176 -59.328 +L 170.870203 -59.328 +L 170.53723 -59.328 +L 170.204257 -59.328 +L 169.871284 -59.328 +L 169.538311 -59.328 +L 169.205338 -59.328 +L 168.872365 -59.328 +L 168.539392 -59.328 +L 168.206419 -59.328 +L 167.873446 -59.328 +L 167.540473 -59.328 +L 167.2075 -59.328 +L 166.874527 -59.328 +L 166.541554 -59.328 +L 166.208581 -59.328 +L 165.875608 -59.328 +L 165.542635 -59.328 +L 165.209662 -59.328 +L 164.876689 -59.328 +L 164.543716 -59.328 +L 164.210743 -59.328 +L 163.87777 -59.328 +L 163.544797 -59.328 +L 163.211824 -59.328 +L 162.878851 -59.328 +L 162.545878 -59.328 +L 162.212905 -59.328 +L 161.879932 -59.328 +L 161.546959 -59.328 +L 161.213986 -59.328 +L 160.881014 -59.328 +L 160.548041 -59.328 +L 160.215068 -59.328 +L 159.882095 -59.328 +L 159.549122 -59.328 +L 159.216149 -59.328 +L 158.883176 -59.328 +L 158.550203 -59.328 +L 158.21723 -59.328 +L 157.884257 -59.328 +L 157.551284 -59.328 +L 157.218311 -59.328 +L 156.885338 -59.328 +L 156.552365 -59.328 +L 156.219392 -59.328 +L 155.886419 -59.328 +L 155.553446 -59.328 +L 155.220473 -59.328 +L 154.8875 -59.328 +L 154.554527 -59.328 +L 154.221554 -59.328 +L 153.888581 -59.328 +L 153.555608 -59.328 +L 153.222635 -59.328 +L 152.889662 -59.328 +L 152.556689 -59.328 +L 152.223716 -59.328 +L 151.890743 -59.328 +L 151.55777 -59.328 +L 151.224797 -59.328 +L 150.891824 -59.328 +L 150.558851 -59.328 +L 150.225878 -59.328 +L 149.892905 -59.328 +L 149.559932 -59.328 +L 149.226959 -59.328 +L 148.893986 -59.328 +L 148.561014 -59.328 +L 148.228041 -59.328 +L 147.895068 -59.328 +L 147.562095 -59.328 +L 147.229122 -59.328 +L 146.896149 -59.328 +L 146.563176 -59.328 +L 146.230203 -59.328 +L 145.89723 -59.328 +L 145.564257 -59.328 +L 145.231284 -59.328 +L 144.898311 -59.328 +L 144.565338 -59.328 +L 144.232365 -59.328 +L 143.899392 -59.328 +L 143.566419 -59.328 +L 143.233446 -59.328 +L 142.900473 -59.328 +L 142.5675 -59.328 +L 142.234527 -59.328 +L 141.901554 -59.328 +L 141.568581 -59.328 +L 141.235608 -59.328 +L 140.902635 -59.328 +L 140.569662 -59.328 +L 140.236689 -59.328 +L 139.903716 -59.328 +L 139.570743 -59.328 +L 139.23777 -59.328 +L 138.904797 -59.328 +L 138.571824 -59.328 +L 138.238851 -59.328 +L 137.905878 -59.328 +L 137.572905 -59.328 +L 137.239932 -59.328 +L 136.906959 -59.328 +L 136.573986 -59.328 +L 136.241014 -59.328 +L 135.908041 -59.328 +L 135.575068 -59.328 +L 135.242095 -59.328 +L 134.909122 -59.328 +L 134.576149 -59.328 +L 134.243176 -59.328 +L 133.910203 -59.328 +L 133.57723 -59.328 +L 133.244257 -59.328 +L 132.911284 -59.328 +L 132.578311 -59.328 +L 132.245338 -59.328 +L 131.912365 -59.328 +L 131.579392 -59.328 +L 131.246419 -59.328 +L 130.913446 -59.328 +L 130.580473 -59.328 +L 130.2475 -59.328 +L 129.914527 -59.328 +L 129.581554 -59.328 +L 129.248581 -59.328 +L 128.915608 -59.328 +L 128.582635 -59.328 +L 128.249662 -59.328 +L 127.916689 -59.328 +L 127.583716 -59.328 +L 127.250743 -59.328 +L 126.91777 -59.328 +L 126.584797 -59.328 +L 126.251824 -59.328 +L 125.918851 -59.328 +L 125.585878 -59.328 +L 125.252905 -59.328 +L 124.919932 -59.328 +L 124.586959 -59.328 +L 124.253986 -59.328 +L 123.921014 -59.328 +L 123.588041 -59.328 +L 123.255068 -59.328 +L 122.922095 -59.328 +L 122.589122 -59.328 +L 122.256149 -59.328 +L 121.923176 -59.328 +L 121.590203 -59.328 +L 121.25723 -59.328 +L 120.924257 -59.328 +L 120.591284 -59.328 +L 120.258311 -59.328 +L 119.925338 -59.328 +L 119.592365 -59.328 +L 119.259392 -59.328 +L 118.926419 -59.328 +L 118.593446 -59.328 +L 118.260473 -59.328 +L 117.9275 -59.328 +L 117.594527 -59.328 +L 117.261554 -59.328 +L 116.928581 -59.328 +L 116.595608 -59.328 +L 116.262635 -59.328 +L 115.929662 -59.328 +L 115.596689 -59.328 +L 115.263716 -59.328 +L 114.930743 -59.328 +L 114.59777 -59.328 +L 114.264797 -59.328 +L 113.931824 -59.328 +L 113.598851 -59.328 +L 113.265878 -59.328 +L 112.932905 -59.328 +L 112.599932 -59.328 +L 112.266959 -59.328 +L 111.933986 -59.328 +L 111.601014 -59.328 +L 111.268041 -59.328 +L 110.935068 -59.328 +L 110.602095 -59.328 +L 110.269122 -59.328 +L 109.936149 -59.328 +L 109.603176 -59.328 +L 109.270203 -59.328 +L 108.93723 -59.328 +L 108.604257 -59.328 +L 108.271284 -59.328 +L 107.938311 -59.328 +L 107.605338 -59.328 +L 107.272365 -59.328 +L 106.939392 -59.328 +L 106.606419 -59.328 +L 106.273446 -59.328 +L 105.940473 -59.328 +L 105.6075 -59.328 +L 105.274527 -59.328 +L 104.941554 -59.328 +L 104.608581 -59.328 +L 104.275608 -59.328 +L 103.942635 -59.328 +L 103.609662 -59.328 +L 103.276689 -59.328 +L 102.943716 -59.328 +L 102.610743 -59.328 +L 102.27777 -59.328 +L 101.944797 -59.328 +L 101.611824 -59.328 +L 101.278851 -59.328 +L 100.945878 -59.328 +L 100.612905 -59.328 +L 100.279932 -59.328 +L 99.946959 -59.328 +L 99.613986 -59.328 +L 99.281014 -59.328 +L 98.948041 -59.328 +L 98.615068 -59.328 +L 98.282095 -59.328 +L 97.949122 -59.328 +L 97.616149 -59.328 +L 97.283176 -59.328 +L 96.950203 -59.328 +L 96.61723 -59.328 +L 96.284257 -59.328 +L 95.951284 -59.328 +L 95.618311 -59.328 +L 95.285338 -59.328 +L 94.952365 -59.328 +L 94.619392 -59.328 +L 94.286419 -59.328 +L 93.953446 -59.328 +L 93.620473 -59.328 +L 93.2875 -59.328 +L 92.954527 -59.328 +L 92.621554 -59.328 +L 92.288581 -59.328 +L 91.955608 -59.328 +L 91.622635 -59.328 +L 91.289662 -59.328 +L 90.956689 -59.328 +L 90.623716 -59.328 +L 90.290743 -59.328 +L 89.95777 -59.328 +L 89.624797 -59.328 +L 89.291824 -59.328 +L 88.958851 -59.328 +L 88.625878 -59.328 +L 88.292905 -59.328 +L 87.959932 -59.328 +L 87.626959 -59.328 +L 87.293986 -59.328 +L 86.961014 -59.328 +L 86.628041 -59.328 +L 86.295068 -59.328 +L 85.962095 -59.328 +L 85.629122 -59.328 +L 85.296149 -59.328 +L 84.963176 -59.328 +L 84.630203 -59.328 +L 84.29723 -59.328 +L 83.964257 -59.328 +L 83.631284 -59.328 +L 83.298311 -59.328 +L 82.965338 -59.328 +L 82.632365 -59.328 +L 82.299392 -59.328 +L 81.966419 -59.328 +L 81.633446 -59.328 +L 81.300473 -59.328 +L 80.9675 -59.328 +L 80.634527 -59.328 +L 80.301554 -59.328 +L 79.968581 -59.328 +L 79.635608 -59.328 +L 79.302635 -59.328 +L 78.969662 -59.328 +L 78.636689 -59.328 +L 78.303716 -59.328 +L 77.970743 -59.328 +L 77.63777 -59.328 +L 77.304797 -59.328 +L 76.971824 -59.328 +L 76.638851 -59.328 +L 76.305878 -59.328 +L 75.972905 -59.328 +L 75.639932 -59.328 +L 75.306959 -59.328 +L 74.973986 -59.328 +L 74.641014 -59.328 +L 74.308041 -59.328 +L 73.975068 -59.328 +L 73.642095 -59.328 +L 73.309122 -59.328 +L 72.976149 -59.328 +L 72.643176 -59.328 +L 72.310203 -59.328 +L 71.97723 -59.328 +L 71.644257 -59.328 +L 71.311284 -59.328 +L 70.978311 -59.328 +L 70.645338 -59.328 +L 70.312365 -59.328 +L 69.979392 -59.328 +L 69.646419 -59.328 +L 69.313446 -59.328 +L 68.980473 -59.328 +L 68.6475 -59.328 +L 68.314527 -59.328 +L 67.981554 -59.328 +L 67.648581 -59.328 +L 67.315608 -59.328 +L 66.982635 -59.328 +L 66.649662 -59.328 +L 66.316689 -59.328 +L 65.983716 -59.328 +L 65.650743 -59.328 +L 65.31777 -59.328 +L 64.984797 -59.328 +L 64.651824 -59.328 +L 64.318851 -59.328 +L 63.985878 -59.328 +L 63.652905 -59.328 +L 63.319932 -59.328 +L 62.986959 -59.328 +L 62.653986 -59.328 +L 62.321014 -59.328 +L 61.988041 -59.328 +L 61.655068 -59.328 +L 61.322095 -59.328 +L 60.989122 -59.328 +L 60.656149 -59.328 +L 60.323176 -59.328 +L 59.990203 -59.328 +L 59.65723 -59.328 +L 59.324257 -59.328 +L 58.991284 -59.328 +L 58.658311 -59.328 +L 58.325338 -59.328 +L 57.992365 -59.328 +L 57.659392 -59.328 +L 57.326419 -59.328 +L 56.993446 -59.328 +L 56.660473 -59.328 +L 56.3275 -59.328 +z +" clip-path="url(#pdb3adfb13f)" style="fill: #d3d3d3; fill-opacity: 0.5; stroke: #d3d3d3; stroke-opacity: 0.5"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="m843fa87e9c" d="M 0 0 +L 0 3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m843fa87e9c" x="56.3275" y="339.84" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_1"> + <!-- 0 --> + <g transform="translate(53.14625 354.438438)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#m843fa87e9c" x="116.8075" y="339.84" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_2"> + <!-- 50 --> + <g transform="translate(110.445 354.438438)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-35" d="M 691 4666 +L 3169 4666 +L 3169 4134 +L 1269 4134 +L 1269 2991 +Q 1406 3038 1543 3061 +Q 1681 3084 1819 3084 +Q 2600 3084 3056 2656 +Q 3513 2228 3513 1497 +Q 3513 744 3044 326 +Q 2575 -91 1722 -91 +Q 1428 -91 1123 -41 +Q 819 9 494 109 +L 494 744 +Q 775 591 1075 516 +Q 1375 441 1709 441 +Q 2250 441 2565 725 +Q 2881 1009 2881 1497 +Q 2881 1984 2565 2268 +Q 2250 2553 1709 2553 +Q 1456 2553 1204 2497 +Q 953 2441 691 2322 +L 691 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-35"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#m843fa87e9c" x="177.2875" y="339.84" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_3"> + <!-- 100 --> + <g transform="translate(167.74375 354.438438)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#m843fa87e9c" x="237.7675" y="339.84" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_4"> + <!-- 150 --> + <g transform="translate(228.22375 354.438438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-35" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <g> + <use xlink:href="#m843fa87e9c" x="298.2475" y="339.84" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_5"> + <!-- 200 --> + <g transform="translate(288.70375 354.438438)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#m843fa87e9c" x="358.7275" y="339.84" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_6"> + <!-- 250 --> + <g transform="translate(349.18375 354.438438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-35" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_7"> + <!-- River Discharge, $q_1$ [m$^3$/s] --> + <g transform="translate(111.2975 375.988125)scale(0.17 -0.17)"> + <defs> + <path id="DejaVuSans-52" d="M 2841 2188 +Q 3044 2119 3236 1894 +Q 3428 1669 3622 1275 +L 4263 0 +L 3584 0 +L 2988 1197 +Q 2756 1666 2539 1819 +Q 2322 1972 1947 1972 +L 1259 1972 +L 1259 0 +L 628 0 +L 628 4666 +L 2053 4666 +Q 2853 4666 3247 4331 +Q 3641 3997 3641 3322 +Q 3641 2881 3436 2590 +Q 3231 2300 2841 2188 +z +M 1259 4147 +L 1259 2491 +L 2053 2491 +Q 2509 2491 2742 2702 +Q 2975 2913 2975 3322 +Q 2975 3731 2742 3939 +Q 2509 4147 2053 4147 +L 1259 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-69" d="M 603 3500 +L 1178 3500 +L 1178 0 +L 603 0 +L 603 3500 +z +M 603 4863 +L 1178 4863 +L 1178 4134 +L 603 4134 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-76" d="M 191 3500 +L 800 3500 +L 1894 563 +L 2988 3500 +L 3597 3500 +L 2284 0 +L 1503 0 +L 191 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-65" d="M 3597 1894 +L 3597 1613 +L 953 1613 +Q 991 1019 1311 708 +Q 1631 397 2203 397 +Q 2534 397 2845 478 +Q 3156 559 3463 722 +L 3463 178 +Q 3153 47 2828 -22 +Q 2503 -91 2169 -91 +Q 1331 -91 842 396 +Q 353 884 353 1716 +Q 353 2575 817 3079 +Q 1281 3584 2069 3584 +Q 2775 3584 3186 3129 +Q 3597 2675 3597 1894 +z +M 3022 2063 +Q 3016 2534 2758 2815 +Q 2500 3097 2075 3097 +Q 1594 3097 1305 2825 +Q 1016 2553 972 2059 +L 3022 2063 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-72" d="M 2631 2963 +Q 2534 3019 2420 3045 +Q 2306 3072 2169 3072 +Q 1681 3072 1420 2755 +Q 1159 2438 1159 1844 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1341 3275 1631 3429 +Q 1922 3584 2338 3584 +Q 2397 3584 2469 3576 +Q 2541 3569 2628 3553 +L 2631 2963 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-44" d="M 1259 4147 +L 1259 519 +L 2022 519 +Q 2988 519 3436 956 +Q 3884 1394 3884 2338 +Q 3884 3275 3436 3711 +Q 2988 4147 2022 4147 +L 1259 4147 +z +M 628 4666 +L 1925 4666 +Q 3281 4666 3915 4102 +Q 4550 3538 4550 2338 +Q 4550 1131 3912 565 +Q 3275 0 1925 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-73" d="M 2834 3397 +L 2834 2853 +Q 2591 2978 2328 3040 +Q 2066 3103 1784 3103 +Q 1356 3103 1142 2972 +Q 928 2841 928 2578 +Q 928 2378 1081 2264 +Q 1234 2150 1697 2047 +L 1894 2003 +Q 2506 1872 2764 1633 +Q 3022 1394 3022 966 +Q 3022 478 2636 193 +Q 2250 -91 1575 -91 +Q 1294 -91 989 -36 +Q 684 19 347 128 +L 347 722 +Q 666 556 975 473 +Q 1284 391 1588 391 +Q 1994 391 2212 530 +Q 2431 669 2431 922 +Q 2431 1156 2273 1281 +Q 2116 1406 1581 1522 +L 1381 1569 +Q 847 1681 609 1914 +Q 372 2147 372 2553 +Q 372 3047 722 3315 +Q 1072 3584 1716 3584 +Q 2034 3584 2315 3537 +Q 2597 3491 2834 3397 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-63" d="M 3122 3366 +L 3122 2828 +Q 2878 2963 2633 3030 +Q 2388 3097 2138 3097 +Q 1578 3097 1268 2742 +Q 959 2388 959 1747 +Q 959 1106 1268 751 +Q 1578 397 2138 397 +Q 2388 397 2633 464 +Q 2878 531 3122 666 +L 3122 134 +Q 2881 22 2623 -34 +Q 2366 -91 2075 -91 +Q 1284 -91 818 406 +Q 353 903 353 1747 +Q 353 2603 823 3093 +Q 1294 3584 2113 3584 +Q 2378 3584 2631 3529 +Q 2884 3475 3122 3366 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-68" d="M 3513 2113 +L 3513 0 +L 2938 0 +L 2938 2094 +Q 2938 2591 2744 2837 +Q 2550 3084 2163 3084 +Q 1697 3084 1428 2787 +Q 1159 2491 1159 1978 +L 1159 0 +L 581 0 +L 581 4863 +L 1159 4863 +L 1159 2956 +Q 1366 3272 1645 3428 +Q 1925 3584 2291 3584 +Q 2894 3584 3203 3211 +Q 3513 2838 3513 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-61" d="M 2194 1759 +Q 1497 1759 1228 1600 +Q 959 1441 959 1056 +Q 959 750 1161 570 +Q 1363 391 1709 391 +Q 2188 391 2477 730 +Q 2766 1069 2766 1631 +L 2766 1759 +L 2194 1759 +z +M 3341 1997 +L 3341 0 +L 2766 0 +L 2766 531 +Q 2569 213 2275 61 +Q 1981 -91 1556 -91 +Q 1019 -91 701 211 +Q 384 513 384 1019 +Q 384 1609 779 1909 +Q 1175 2209 1959 2209 +L 2766 2209 +L 2766 2266 +Q 2766 2663 2505 2880 +Q 2244 3097 1772 3097 +Q 1472 3097 1187 3025 +Q 903 2953 641 2809 +L 641 3341 +Q 956 3463 1253 3523 +Q 1550 3584 1831 3584 +Q 2591 3584 2966 3190 +Q 3341 2797 3341 1997 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-67" d="M 2906 1791 +Q 2906 2416 2648 2759 +Q 2391 3103 1925 3103 +Q 1463 3103 1205 2759 +Q 947 2416 947 1791 +Q 947 1169 1205 825 +Q 1463 481 1925 481 +Q 2391 481 2648 825 +Q 2906 1169 2906 1791 +z +M 3481 434 +Q 3481 -459 3084 -895 +Q 2688 -1331 1869 -1331 +Q 1566 -1331 1297 -1286 +Q 1028 -1241 775 -1147 +L 775 -588 +Q 1028 -725 1275 -790 +Q 1522 -856 1778 -856 +Q 2344 -856 2625 -561 +Q 2906 -266 2906 331 +L 2906 616 +Q 2728 306 2450 153 +Q 2172 0 1784 0 +Q 1141 0 747 490 +Q 353 981 353 1791 +Q 353 2603 747 3093 +Q 1141 3584 1784 3584 +Q 2172 3584 2450 3431 +Q 2728 3278 2906 2969 +L 2906 3500 +L 3481 3500 +L 3481 434 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2c" d="M 750 794 +L 1409 794 +L 1409 256 +L 897 -744 +L 494 -744 +L 750 256 +L 750 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-71" d="M 2669 525 +Q 2438 222 2123 65 +Q 1809 -91 1428 -91 +Q 897 -91 595 267 +Q 294 625 294 1253 +Q 294 1759 480 2231 +Q 666 2703 1013 3078 +Q 1238 3322 1530 3453 +Q 1822 3584 2144 3584 +Q 2531 3584 2781 3431 +Q 3031 3278 3144 2969 +L 3244 3494 +L 3822 3494 +L 2888 -1319 +L 2309 -1319 +L 2669 525 +z +M 891 1338 +Q 891 875 1084 633 +Q 1278 391 1644 391 +Q 2188 391 2572 911 +Q 2956 1431 2956 2175 +Q 2956 2625 2757 2864 +Q 2559 3103 2188 3103 +Q 1916 3103 1684 2976 +Q 1453 2850 1281 2606 +Q 1100 2350 995 2006 +Q 891 1663 891 1338 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5b" d="M 550 4863 +L 1875 4863 +L 1875 4416 +L 1125 4416 +L 1125 -397 +L 1875 -397 +L 1875 -844 +L 550 -844 +L 550 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6d" d="M 3328 2828 +Q 3544 3216 3844 3400 +Q 4144 3584 4550 3584 +Q 5097 3584 5394 3201 +Q 5691 2819 5691 2113 +L 5691 0 +L 5113 0 +L 5113 2094 +Q 5113 2597 4934 2840 +Q 4756 3084 4391 3084 +Q 3944 3084 3684 2787 +Q 3425 2491 3425 1978 +L 3425 0 +L 2847 0 +L 2847 2094 +Q 2847 2600 2669 2842 +Q 2491 3084 2119 3084 +Q 1678 3084 1418 2786 +Q 1159 2488 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1356 3278 1631 3431 +Q 1906 3584 2284 3584 +Q 2666 3584 2933 3390 +Q 3200 3197 3328 2828 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2f" d="M 1625 4666 +L 2156 4666 +L 531 -594 +L 0 -594 +L 1625 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5d" d="M 1947 4863 +L 1947 -844 +L 622 -844 +L 622 -397 +L 1369 -397 +L 1369 4416 +L 622 4416 +L 622 4863 +L 1947 4863 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-52" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(69.482422 0.765625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(97.265625 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(156.445312 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(217.96875 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(259.082031 0.765625)"/> + <use xlink:href="#DejaVuSans-44" transform="translate(290.869141 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(367.871094 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(395.654297 0.765625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(447.753906 0.765625)"/> + <use xlink:href="#DejaVuSans-68" transform="translate(502.734375 0.765625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(566.113281 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(627.392578 0.765625)"/> + <use xlink:href="#DejaVuSans-67" transform="translate(668.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(731.982422 0.765625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(793.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(825.292969 0.765625)"/> + <use xlink:href="#DejaVuSans-Oblique-71" transform="translate(857.080078 0.765625)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(920.556641 -15.640625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(967.827148 0.765625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(999.614258 0.765625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(1038.62793 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(1136.99707 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-2f" transform="translate(1184.267578 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1217.958984 0.765625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(1270.058594 0.765625)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_7"> + <defs> + <path id="mc68df69d33" d="M 0 0 +L -3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#mc68df69d33" x="56.3275" y="339.84" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_8"> + <!-- 0 --> + <g transform="translate(42.965 343.639219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_8"> + <g> + <use xlink:href="#mc68df69d33" x="56.3275" y="279.36" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_9"> + <!-- 50 --> + <g transform="translate(36.6025 283.159219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-35"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_9"> + <g> + <use xlink:href="#mc68df69d33" x="56.3275" y="218.88" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_10"> + <!-- 100 --> + <g transform="translate(30.24 222.679219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_10"> + <g> + <use xlink:href="#mc68df69d33" x="56.3275" y="158.4" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_11"> + <!-- 150 --> + <g transform="translate(30.24 162.199219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-35" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_11"> + <g> + <use xlink:href="#mc68df69d33" x="56.3275" y="97.92" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_12"> + <!-- 200 --> + <g transform="translate(30.24 101.719219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_12"> + <g> + <use xlink:href="#mc68df69d33" x="56.3275" y="37.44" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_13"> + <!-- 250 --> + <g transform="translate(30.24 41.239219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-35" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_14"> + <!-- River Discharge, $q_2$ [m$^3$/s] --> + <g transform="translate(22.67 284.87)rotate(-90)scale(0.17 -0.17)"> + <use xlink:href="#DejaVuSans-52" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(69.482422 0.765625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(97.265625 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(156.445312 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(217.96875 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(259.082031 0.765625)"/> + <use xlink:href="#DejaVuSans-44" transform="translate(290.869141 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(367.871094 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(395.654297 0.765625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(447.753906 0.765625)"/> + <use xlink:href="#DejaVuSans-68" transform="translate(502.734375 0.765625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(566.113281 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(627.392578 0.765625)"/> + <use xlink:href="#DejaVuSans-67" transform="translate(668.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(731.982422 0.765625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(793.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(825.292969 0.765625)"/> + <use xlink:href="#DejaVuSans-Oblique-71" transform="translate(857.080078 0.765625)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(920.556641 -15.640625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(967.827148 0.765625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(999.614258 0.765625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(1038.62793 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(1136.99707 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-2f" transform="translate(1184.267578 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1217.958984 0.765625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(1270.058594 0.765625)"/> + </g> + </g> + </g> + <g id="PathCollection_1"/> + <g id="PathCollection_2"> + <path d="M 166.954234 260.273683 +L 167.865992 260.383897 +L 168.777751 260.47837 +L 169.68951 260.557961 +L 170.601269 260.623422 +L 171.513028 260.675409 +L 172.424786 260.714486 +L 173.336545 260.741137 +L 174.248304 260.755773 +L 175.160063 260.758736 +L 176.071822 260.750308 +L 176.98358 260.730708 +L 177.895339 260.700105 +L 178.807098 260.658614 +L 179.718857 260.606302 +L 180.630616 260.543192 +L 181.542374 260.469257 +L 182.454133 260.384434 +L 183.365892 260.288611 +L 184.012289 260.213065 +L 184.277651 260.183944 +L 185.18941 260.074308 +L 186.101168 259.953951 +L 187.012927 259.82262 +L 187.924686 259.680028 +L 188.836445 259.525846 +L 189.748204 259.359708 +L 190.050749 259.301307 +L 190.659962 259.189457 +L 191.571721 259.011288 +L 192.48348 258.820734 +L 193.395239 258.617299 +L 194.306997 258.400444 +L 194.351109 258.389548 +L 195.218756 258.183693 +L 196.130515 257.953947 +L 197.042274 257.709873 +L 197.861437 257.477789 +L 197.954033 257.452402 +L 198.865791 257.193974 +L 199.77755 256.920008 +L 200.689309 256.629714 +L 200.883001 256.56603 +L 201.601068 256.335715 +L 202.512827 256.028155 +L 203.424585 255.702606 +L 203.556334 255.654271 +L 204.336344 255.373166 +L 205.248103 255.0272 +L 205.962888 254.742513 +L 206.159862 254.664983 +L 207.071621 254.295854 +L 207.983379 253.905405 +L 208.153381 253.830754 +L 208.895138 253.506743 +L 209.806897 253.08841 +L 210.164497 252.918995 +L 210.718656 252.656335 +L 211.630415 252.20612 +L 212.0202 252.007236 +L 212.542173 251.739277 +L 213.453932 251.252525 +L 213.740128 251.095477 +L 214.365691 250.748193 +L 215.27745 250.219477 +L 215.338113 250.183719 +L 216.189209 249.673402 +L 216.831892 249.27196 +L 217.100967 249.100174 +L 218.012726 248.502533 +L 218.225027 248.360201 +L 218.924485 247.878353 +L 219.529199 247.448442 +L 219.836244 247.22308 +L 220.746082 246.536683 +L 220.748003 246.53518 +L 221.659761 245.813218 +L 221.892242 245.624925 +L 222.57152 245.051245 +L 222.964328 244.713166 +L 223.483279 244.245227 +L 223.968037 243.801407 +L 224.395038 243.389876 +L 224.908053 242.889648 +L 225.306796 242.478391 +L 225.788119 241.977889 +L 226.218555 241.502138 +L 226.611153 241.066131 +L 227.130314 240.45023 +L 227.379334 240.154372 +L 228.042073 239.308965 +L 228.094179 239.242613 +L 228.76466 238.330854 +L 228.953832 238.052594 +L 229.387645 237.419095 +L 229.86559 236.657697 +L 229.960948 236.507337 +L 230.496363 235.595578 +L 230.777349 235.070098 +L 230.987104 234.683819 +L 231.439011 233.77206 +L 231.689108 233.213836 +L 231.850744 232.860302 +L 232.228252 231.948543 +L 232.563699 231.036784 +L 232.600867 230.92416 +L 232.871786 230.125025 +L 233.143386 229.213266 +L 233.379203 228.301508 +L 233.512626 227.702129 +L 233.584499 227.389749 +L 233.762628 226.47799 +L 233.909135 225.566231 +L 234.025484 224.654472 +L 234.112939 223.742714 +L 234.172586 222.830955 +L 234.205342 221.919196 +L 234.211975 221.007437 +L 234.19311 220.095678 +L 234.149246 219.18392 +L 234.080754 218.272161 +L 233.987895 217.360402 +L 233.87082 216.448643 +L 233.729574 215.536884 +L 233.564106 214.625126 +L 233.512626 214.375945 +L 233.380351 213.713367 +L 233.175328 212.801608 +L 232.946452 211.889849 +L 232.693315 210.97809 +L 232.600867 210.671615 +L 232.423471 210.066332 +L 232.133403 209.154573 +L 231.818461 208.242814 +L 231.689108 207.892418 +L 231.486958 207.331055 +L 231.135713 206.419296 +L 230.777349 205.552573 +L 230.759135 205.507538 +L 230.371731 204.595779 +L 229.957398 203.68402 +L 229.86559 203.491155 +L 229.529616 202.772261 +L 229.077679 201.860503 +L 228.953832 201.62125 +L 228.611166 200.948744 +L 228.120471 200.036985 +L 228.042073 199.896597 +L 227.616985 199.125226 +L 227.130314 198.28776 +L 227.087641 198.213467 +L 226.546543 197.301709 +L 226.218555 196.77362 +L 225.982446 196.38995 +L 225.39822 195.478191 +L 225.306796 195.339761 +L 224.799523 194.566432 +L 224.395038 193.974388 +L 224.177745 193.654673 +L 223.535587 192.742915 +L 223.483279 192.670472 +L 222.878967 191.831156 +L 222.57152 191.418569 +L 222.200034 190.919397 +L 221.659761 190.216444 +L 221.499232 190.007638 +L 220.777897 189.095879 +L 220.748003 189.058853 +L 220.039924 188.184121 +L 219.836244 187.93913 +L 219.279587 187.272362 +L 218.924485 186.857427 +L 218.496839 186.360603 +L 218.012726 185.810912 +L 217.691487 185.448844 +L 217.100967 184.797145 +L 216.863185 184.537085 +L 216.189209 183.814028 +L 216.011428 183.625327 +L 215.27745 182.859767 +L 215.135541 182.713568 +L 214.365691 181.932837 +L 214.234663 181.801809 +L 213.453932 181.031959 +L 213.307733 180.89005 +L 212.542173 180.156072 +L 212.353472 179.978291 +L 211.630415 179.304315 +L 211.370355 179.066533 +L 210.718656 178.476013 +L 210.356588 178.154774 +L 209.806897 177.670661 +L 209.310073 177.243015 +L 208.895138 176.887913 +L 208.22837 176.331256 +L 207.983379 176.127576 +L 207.108647 175.419497 +L 207.071621 175.389603 +L 206.159862 174.668268 +L 205.951056 174.507739 +L 205.248103 173.967466 +L 204.748931 173.59598 +L 204.336344 173.288533 +L 203.497028 172.684221 +L 203.424585 172.631913 +L 202.512827 171.989755 +L 202.193112 171.772462 +L 201.601068 171.367977 +L 200.827739 170.860704 +L 200.689309 170.76928 +L 199.77755 170.185054 +L 199.39388 169.948945 +L 198.865791 169.620957 +L 197.954033 169.079859 +L 197.87974 169.037186 +L 197.042274 168.550515 +L 196.270903 168.125427 +L 196.130515 168.047029 +L 195.218756 167.556334 +L 194.54625 167.213668 +L 194.306997 167.089821 +L 193.395239 166.637884 +L 192.676345 166.30191 +L 192.48348 166.210102 +L 191.571721 165.795769 +L 190.659962 165.408365 +L 190.614927 165.390151 +L 189.748204 165.031787 +L 188.836445 164.680542 +L 188.275082 164.478392 +L 187.924686 164.349039 +L 187.012927 164.034097 +L 186.101168 163.744029 +L 185.495885 163.566633 +L 185.18941 163.474185 +L 184.277651 163.221048 +L 183.365892 162.992172 +L 182.454133 162.787149 +L 181.791555 162.654874 +L 181.542374 162.603394 +L 180.630616 162.437926 +L 179.718857 162.29668 +L 178.807098 162.179605 +L 177.895339 162.086746 +L 176.98358 162.018254 +L 176.071822 161.97439 +L 175.160063 161.955525 +L 174.248304 161.962158 +L 173.336545 161.994914 +L 172.424786 162.054561 +L 171.513028 162.142016 +L 170.601269 162.258365 +L 169.68951 162.404872 +L 168.777751 162.583001 +L 168.465371 162.654874 +L 167.865992 162.788297 +L 166.954234 163.024114 +L 166.042475 163.295714 +L 165.24334 163.566633 +L 165.130716 163.603801 +L 164.218957 163.939248 +L 163.307198 164.316756 +L 162.953664 164.478392 +L 162.39544 164.728489 +L 161.483681 165.180396 +L 161.097402 165.390151 +L 160.571922 165.671137 +L 159.660163 166.206552 +L 159.509803 166.30191 +L 158.748405 166.779855 +L 158.114906 167.213668 +L 157.836646 167.40284 +L 156.924887 168.073321 +L 156.858535 168.125427 +L 156.013128 168.788166 +L 155.71727 169.037186 +L 155.101369 169.556347 +L 154.665362 169.948945 +L 154.189611 170.379381 +L 153.689109 170.860704 +L 153.277852 171.259447 +L 152.777624 171.772462 +L 152.366093 172.199463 +L 151.922273 172.684221 +L 151.454334 173.203172 +L 151.116255 173.59598 +L 150.542575 174.275258 +L 150.354282 174.507739 +L 149.63232 175.419497 +L 149.630817 175.421418 +L 148.94442 176.331256 +L 148.719058 176.638301 +L 148.289147 177.243015 +L 147.807299 177.942473 +L 147.664967 178.154774 +L 147.067326 179.066533 +L 146.89554 179.335608 +L 146.494098 179.978291 +L 145.983781 180.829387 +L 145.948023 180.89005 +L 145.419307 181.801809 +L 145.072023 182.427372 +L 144.914975 182.713568 +L 144.428223 183.625327 +L 144.160264 184.1473 +L 143.96138 184.537085 +L 143.511165 185.448844 +L 143.248505 186.003003 +L 143.07909 186.360603 +L 142.660757 187.272362 +L 142.336746 188.014119 +L 142.262095 188.184121 +L 141.871646 189.095879 +L 141.502517 190.007638 +L 141.424987 190.204612 +L 141.1403 190.919397 +L 140.794334 191.831156 +L 140.513229 192.611166 +L 140.464894 192.742915 +L 140.139345 193.654673 +L 139.831785 194.566432 +L 139.60147 195.284499 +L 139.537786 195.478191 +L 139.247492 196.38995 +L 138.973526 197.301709 +L 138.715098 198.213467 +L 138.689711 198.306063 +L 138.457627 199.125226 +L 138.213553 200.036985 +L 137.983807 200.948744 +L 137.777952 201.816391 +L 137.767056 201.860503 +L 137.550201 202.772261 +L 137.346766 203.68402 +L 137.156212 204.595779 +L 136.978043 205.507538 +L 136.866193 206.116751 +L 136.807792 206.419296 +L 136.641654 207.331055 +L 136.487472 208.242814 +L 136.34488 209.154573 +L 136.213549 210.066332 +L 136.093192 210.97809 +L 135.983556 211.889849 +L 135.954435 212.155211 +L 135.878889 212.801608 +L 135.783066 213.713367 +L 135.698243 214.625126 +L 135.624308 215.536884 +L 135.561198 216.448643 +L 135.508886 217.360402 +L 135.467395 218.272161 +L 135.436792 219.18392 +L 135.417192 220.095678 +L 135.408764 221.007437 +L 135.411727 221.919196 +L 135.426363 222.830955 +L 135.453014 223.742714 +L 135.492091 224.654472 +L 135.544078 225.566231 +L 135.609539 226.47799 +L 135.68913 227.389749 +L 135.783603 228.301508 +L 135.893817 229.213266 +L 135.954435 229.652206 +L 136.015894 230.125025 +L 136.15006 231.036784 +L 136.301936 231.948543 +L 136.472856 232.860302 +L 136.664333 233.77206 +L 136.866193 234.634313 +L 136.877267 234.683819 +L 137.098893 235.595578 +L 137.345133 236.507337 +L 137.618323 237.419095 +L 137.777952 237.907582 +L 137.911941 238.330854 +L 138.225863 239.242613 +L 138.573557 240.154372 +L 138.689711 240.437429 +L 138.942668 241.066131 +L 139.34405 241.977889 +L 139.60147 242.515563 +L 139.77882 242.889648 +L 140.245659 243.801407 +L 140.513229 244.28356 +L 140.751702 244.713166 +L 141.299726 245.624925 +L 141.424987 245.820701 +L 141.887961 246.536683 +L 142.336746 247.177698 +L 142.52975 247.448442 +L 143.226523 248.360201 +L 143.248505 248.387597 +L 143.978767 249.27196 +L 144.160264 249.479066 +L 144.800628 250.183719 +L 145.072023 250.467315 +L 145.700185 251.095477 +L 145.983781 251.366872 +L 146.688434 252.007236 +L 146.89554 252.188733 +L 147.779903 252.918995 +L 147.807299 252.940977 +L 148.719058 253.63775 +L 148.989802 253.830754 +L 149.630817 254.279539 +L 150.346799 254.742513 +L 150.542575 254.867774 +L 151.454334 255.415798 +L 151.88394 255.654271 +L 152.366093 255.921841 +L 153.277852 256.38868 +L 153.651937 256.56603 +L 154.189611 256.82345 +L 155.101369 257.224832 +L 155.730071 257.477789 +L 156.013128 257.593943 +L 156.924887 257.941637 +L 157.836646 258.255559 +L 158.259918 258.389548 +L 158.748405 258.549177 +L 159.660163 258.822367 +L 160.571922 259.068607 +L 161.483681 259.290233 +L 161.533187 259.301307 +L 162.39544 259.503167 +L 163.307198 259.694644 +L 164.218957 259.865564 +L 165.130716 260.01744 +L 166.042475 260.151606 +L 166.515294 260.213065 +L 166.954234 260.273683 +z +" clip-path="url(#pdb3adfb13f)" style="fill: none; stroke: #e1edf8; stroke-width: 1.5"/> + </g> + <g id="PathCollection_3"> + <path d="M 166.042475 253.89866 +L 166.954234 254.063505 +L 167.865992 254.206632 +L 168.777751 254.329316 +L 169.68951 254.432675 +L 170.601269 254.517686 +L 171.513028 254.585197 +L 172.424786 254.635943 +L 173.336545 254.670552 +L 174.248304 254.689559 +L 175.160063 254.693407 +L 176.071822 254.682462 +L 176.98358 254.657009 +L 177.895339 254.617267 +L 178.807098 254.563386 +L 179.718857 254.495453 +L 180.630616 254.413496 +L 181.542374 254.317483 +L 182.454133 254.207329 +L 183.365892 254.082892 +L 184.277651 253.943977 +L 184.952096 253.830754 +L 185.18941 253.79205 +L 186.101168 253.630529 +L 187.012927 253.454282 +L 187.924686 253.262922 +L 188.836445 253.056009 +L 189.401052 252.918995 +L 189.748204 252.83633 +L 190.659962 252.605921 +L 191.571721 252.358977 +L 192.48348 252.094869 +L 192.771567 252.007236 +L 193.395239 251.81951 +L 194.306997 251.52916 +L 195.218756 251.220062 +L 195.570133 251.095477 +L 196.130515 250.897464 +L 197.042274 250.558697 +L 197.954033 250.199099 +L 197.991853 250.183719 +L 198.865791 249.827069 +L 199.77755 249.433089 +L 200.136237 249.27196 +L 200.689309 249.021167 +L 201.601068 248.588566 +L 202.063134 248.360201 +L 202.512827 248.134551 +L 203.424585 247.658211 +L 203.811642 247.448442 +L 204.336344 247.158064 +L 205.248103 246.631849 +L 205.408658 246.536683 +L 206.159862 246.079426 +L 206.87582 245.624925 +L 207.071621 245.496649 +L 207.983379 244.882661 +L 208.228084 244.713166 +L 208.895138 244.233654 +L 209.477557 243.801407 +L 209.806897 243.546482 +L 210.632201 242.889648 +L 210.718656 242.817527 +L 211.630415 242.04107 +L 211.703225 241.977889 +L 212.542173 241.210454 +L 212.697015 241.066131 +L 213.453932 240.318579 +L 213.617715 240.154372 +L 214.365691 239.355584 +L 214.470274 239.242613 +L 215.259112 238.330854 +L 215.27745 238.308151 +L 215.991582 237.419095 +L 216.189209 237.152738 +L 216.667032 236.507337 +L 217.100967 235.868905 +L 217.286948 235.595578 +L 217.857195 234.683819 +L 218.012726 234.411867 +L 218.380993 233.77206 +L 218.854737 232.860302 +L 218.924485 232.712591 +L 219.289439 231.948543 +L 219.67778 231.036784 +L 219.836244 230.619587 +L 220.027193 230.125025 +L 220.338329 229.213266 +L 220.608474 228.301508 +L 220.748003 227.754724 +L 220.843287 227.389749 +L 221.045266 226.47799 +L 221.21139 225.566231 +L 221.343317 224.654472 +L 221.442482 223.742714 +L 221.510115 222.830955 +L 221.547257 221.919196 +L 221.554777 221.007437 +L 221.533388 220.095678 +L 221.483649 219.18392 +L 221.405987 218.272161 +L 221.300695 217.360402 +L 221.167944 216.448643 +L 221.007786 215.536884 +L 220.820163 214.625126 +L 220.748003 214.317304 +L 220.609789 213.713367 +L 220.374921 212.801608 +L 220.112727 211.889849 +L 219.836244 211.019965 +L 219.823191 210.97809 +L 219.515441 210.066332 +L 219.179633 209.154573 +L 218.924485 208.513131 +L 218.818574 208.242814 +L 218.437104 207.331055 +L 218.026054 206.419296 +L 218.012726 206.391215 +L 217.597897 205.507538 +L 217.139466 204.595779 +L 217.100967 204.522651 +L 216.662959 203.68402 +L 216.189209 202.831489 +L 216.156491 202.772261 +L 215.631534 201.860503 +L 215.27745 201.277348 +L 215.078523 200.948744 +L 214.501206 200.036985 +L 214.365691 199.831133 +L 213.901023 199.125226 +L 213.453932 198.475991 +L 213.272802 198.213467 +L 212.61894 197.301709 +L 212.542173 197.197974 +L 211.941353 196.38995 +L 211.630415 195.986941 +L 211.235214 195.478191 +L 210.718656 194.835587 +L 210.500372 194.566432 +L 209.806897 193.737944 +L 209.736431 193.654673 +L 208.943719 192.742915 +L 208.895138 192.688376 +L 208.120939 191.831156 +L 207.983379 191.682592 +L 207.265362 190.919397 +L 207.071621 190.718065 +L 206.375487 190.007638 +L 206.159862 189.792013 +L 205.449435 189.095879 +L 205.248103 188.902138 +L 204.484908 188.184121 +L 204.336344 188.046561 +L 203.479124 187.272362 +L 203.424585 187.223781 +L 202.512827 186.431069 +L 202.429556 186.360603 +L 201.601068 185.667128 +L 201.331913 185.448844 +L 200.689309 184.932286 +L 200.180559 184.537085 +L 199.77755 184.226147 +L 198.969526 183.625327 +L 198.865791 183.54856 +L 197.954033 182.894698 +L 197.691509 182.713568 +L 197.042274 182.266477 +L 196.336367 181.801809 +L 196.130515 181.666294 +L 195.218756 181.088977 +L 194.890152 180.89005 +L 194.306997 180.535966 +L 193.395239 180.011009 +L 193.336011 179.978291 +L 192.48348 179.504541 +L 191.644849 179.066533 +L 191.571721 179.028034 +L 190.659962 178.569603 +L 189.776285 178.154774 +L 189.748204 178.141446 +L 188.836445 177.730396 +L 187.924686 177.348926 +L 187.654369 177.243015 +L 187.012927 176.987867 +L 186.101168 176.652059 +L 185.18941 176.344309 +L 185.147535 176.331256 +L 184.277651 176.054773 +L 183.365892 175.792579 +L 182.454133 175.557711 +L 181.850196 175.419497 +L 181.542374 175.347337 +L 180.630616 175.159714 +L 179.718857 174.999556 +L 178.807098 174.866805 +L 177.895339 174.761513 +L 176.98358 174.683851 +L 176.071822 174.634112 +L 175.160063 174.612723 +L 174.248304 174.620243 +L 173.336545 174.657385 +L 172.424786 174.725018 +L 171.513028 174.824183 +L 170.601269 174.95611 +L 169.68951 175.122234 +L 168.777751 175.324213 +L 168.412776 175.419497 +L 167.865992 175.559026 +L 166.954234 175.829171 +L 166.042475 176.140307 +L 165.547913 176.331256 +L 165.130716 176.48972 +L 164.218957 176.878061 +L 163.454909 177.243015 +L 163.307198 177.312763 +L 162.39544 177.786507 +L 161.755633 178.154774 +L 161.483681 178.310305 +L 160.571922 178.880552 +L 160.298595 179.066533 +L 159.660163 179.500468 +L 159.014762 179.978291 +L 158.748405 180.175918 +L 157.859349 180.89005 +L 157.836646 180.908388 +L 156.924887 181.697226 +L 156.811916 181.801809 +L 156.013128 182.549785 +L 155.848921 182.713568 +L 155.101369 183.470485 +L 154.957046 183.625327 +L 154.189611 184.464275 +L 154.12643 184.537085 +L 153.349973 185.448844 +L 153.277852 185.535299 +L 152.621018 186.360603 +L 152.366093 186.689943 +L 151.933846 187.272362 +L 151.454334 187.939416 +L 151.284839 188.184121 +L 150.670851 189.095879 +L 150.542575 189.29168 +L 150.088074 190.007638 +L 149.630817 190.758842 +L 149.535651 190.919397 +L 149.009436 191.831156 +L 148.719058 192.355858 +L 148.509289 192.742915 +L 148.032949 193.654673 +L 147.807299 194.104366 +L 147.578934 194.566432 +L 147.146333 195.478191 +L 146.89554 196.031263 +L 146.734411 196.38995 +L 146.340431 197.301709 +L 145.983781 198.175647 +L 145.968401 198.213467 +L 145.608803 199.125226 +L 145.270036 200.036985 +L 145.072023 200.597367 +L 144.947438 200.948744 +L 144.63834 201.860503 +L 144.34799 202.772261 +L 144.160264 203.395933 +L 144.072631 203.68402 +L 143.808523 204.595779 +L 143.561579 205.507538 +L 143.33117 206.419296 +L 143.248505 206.766448 +L 143.111491 207.331055 +L 142.904578 208.242814 +L 142.713218 209.154573 +L 142.536971 210.066332 +L 142.37545 210.97809 +L 142.336746 211.215404 +L 142.223523 211.889849 +L 142.084608 212.801608 +L 141.960171 213.713367 +L 141.850017 214.625126 +L 141.754004 215.536884 +L 141.672047 216.448643 +L 141.604114 217.360402 +L 141.550233 218.272161 +L 141.510491 219.18392 +L 141.485038 220.095678 +L 141.474093 221.007437 +L 141.477941 221.919196 +L 141.496948 222.830955 +L 141.531557 223.742714 +L 141.582303 224.654472 +L 141.649814 225.566231 +L 141.734825 226.47799 +L 141.838184 227.389749 +L 141.960868 228.301508 +L 142.103995 229.213266 +L 142.26884 230.125025 +L 142.336746 230.458013 +L 142.451768 231.036784 +L 142.655587 231.948543 +L 142.884962 232.860302 +L 143.141926 233.77206 +L 143.248505 234.116278 +L 143.421903 234.683819 +L 143.729078 235.595578 +L 144.070368 236.507337 +L 144.160264 236.729156 +L 144.4392 237.419095 +L 144.844621 238.330854 +L 145.072023 238.800904 +L 145.287121 239.242613 +L 145.769711 240.154372 +L 145.983781 240.528663 +L 146.296056 241.066131 +L 146.873268 241.977889 +L 146.89554 242.011083 +L 147.500055 242.889648 +L 147.807299 243.303786 +L 148.188506 243.801407 +L 148.719058 244.448583 +L 148.944592 244.713166 +L 149.630817 245.470993 +L 149.776775 245.624925 +L 150.542575 246.390725 +L 150.696507 246.536683 +L 151.454334 247.222908 +L 151.718917 247.448442 +L 152.366093 247.978994 +L 152.863714 248.360201 +L 153.277852 248.667445 +L 154.156417 249.27196 +L 154.189611 249.294232 +L 155.101369 249.871444 +L 155.638837 250.183719 +L 156.013128 250.397789 +L 156.924887 250.880379 +L 157.366596 251.095477 +L 157.836646 251.322879 +L 158.748405 251.7283 +L 159.438344 252.007236 +L 159.660163 252.097132 +L 160.571922 252.438422 +L 161.483681 252.745597 +L 162.051222 252.918995 +L 162.39544 253.025574 +L 163.307198 253.282538 +L 164.218957 253.511913 +L 165.130716 253.715732 +L 165.709487 253.830754 +L 166.042475 253.89866 +z +" clip-path="url(#pdb3adfb13f)" style="fill: none; stroke: #ccdff1; stroke-width: 1.5"/> + </g> + <g id="PathCollection_4"> + <path d="M 166.954234 249.347336 +L 167.865992 249.527907 +L 168.777751 249.682686 +L 169.68951 249.813085 +L 170.601269 249.920334 +L 171.513028 250.005507 +L 172.424786 250.069528 +L 173.336545 250.113192 +L 174.248304 250.137171 +L 175.160063 250.142027 +L 176.071822 250.128217 +L 176.98358 250.096106 +L 177.895339 250.045967 +L 178.807098 249.97799 +L 179.718857 249.892286 +L 180.630616 249.788888 +L 181.542374 249.667757 +L 182.454133 249.528786 +L 183.365892 249.371795 +L 183.888219 249.27196 +L 184.277651 249.198169 +L 185.18941 249.008525 +L 186.101168 248.800335 +L 187.012927 248.573165 +L 187.802065 248.360201 +L 187.924686 248.327105 +L 188.836445 248.065075 +L 189.748204 247.782728 +L 190.659962 247.479371 +L 190.748444 247.448442 +L 191.571721 247.158186 +L 192.48348 246.815117 +L 193.180577 246.536683 +L 193.395239 246.44967 +L 194.306997 246.062865 +L 195.218756 245.651083 +L 195.274616 245.624925 +L 196.130515 245.2153 +L 197.042274 244.752484 +L 197.117192 244.713166 +L 197.954033 244.26161 +L 198.762657 243.801407 +L 198.865791 243.740748 +L 199.77755 243.18692 +L 200.246533 242.889648 +L 200.689309 242.597849 +L 201.592056 241.977889 +L 201.601068 241.971421 +L 202.512827 241.300179 +L 202.819982 241.066131 +L 203.424585 240.5817 +L 203.941956 240.154372 +L 204.336344 239.809988 +L 204.969307 239.242613 +L 205.248103 238.97694 +L 205.911267 238.330854 +L 206.159862 238.071902 +L 206.775262 237.419095 +L 207.071621 237.080959 +L 207.567193 236.507337 +L 207.983379 235.985938 +L 208.291658 235.595578 +L 208.895138 234.763014 +L 208.952136 234.683819 +L 209.556671 233.77206 +L 209.806897 233.356081 +L 210.104667 232.860302 +L 210.59878 231.948543 +L 210.718656 231.703106 +L 211.045329 231.036784 +L 211.442294 230.125025 +L 211.630415 229.635745 +L 211.794295 229.213266 +L 212.103959 228.301508 +L 212.369394 227.389749 +L 212.542173 226.686919 +L 212.594336 226.47799 +L 212.783033 225.566231 +L 212.932888 224.654472 +L 213.045528 223.742714 +L 213.122351 222.830955 +L 213.16454 221.919196 +L 213.173083 221.007437 +L 213.148786 220.095678 +L 213.09229 219.18392 +L 213.004074 218.272161 +L 212.884474 217.360402 +L 212.733684 216.448643 +L 212.551763 215.536884 +L 212.542173 215.495487 +L 212.343792 214.625126 +L 212.105466 213.713367 +L 211.836239 212.801608 +L 211.630415 212.174626 +L 211.537975 211.889849 +L 211.213589 210.97809 +L 210.857481 210.066332 +L 210.718656 209.737087 +L 210.474634 209.154573 +L 210.062413 208.242814 +L 209.806897 207.715931 +L 209.620811 207.331055 +L 209.150936 206.419296 +L 208.895138 205.952524 +L 208.651175 205.507538 +L 208.121139 204.595779 +L 207.983379 204.370318 +L 207.562427 203.68402 +L 207.071621 202.927138 +L 206.970559 202.772261 +L 206.348869 201.860503 +L 206.159862 201.595266 +L 205.694676 200.948744 +L 205.248103 200.35511 +L 205.005863 200.036985 +L 204.336344 199.193036 +L 204.281755 199.125226 +L 203.522375 198.213467 +L 203.424585 198.099875 +L 202.72489 197.301709 +L 202.512827 197.067439 +L 201.88669 196.38995 +L 201.601068 196.08977 +L 201.005331 195.478191 +L 200.689309 195.162169 +L 200.07773 194.566432 +L 199.77755 194.28081 +L 199.100061 193.654673 +L 198.865791 193.44261 +L 198.067625 192.742915 +L 197.954033 192.645125 +L 197.042274 191.885745 +L 196.974464 191.831156 +L 196.130515 191.161637 +L 195.81239 190.919397 +L 195.218756 190.472824 +L 194.572234 190.007638 +L 194.306997 189.818631 +L 193.395239 189.196941 +L 193.240362 189.095879 +L 192.48348 188.605073 +L 191.797182 188.184121 +L 191.571721 188.046361 +L 190.659962 187.516325 +L 190.214976 187.272362 +L 189.748204 187.016564 +L 188.836445 186.546689 +L 188.451569 186.360603 +L 187.924686 186.105087 +L 187.012927 185.692866 +L 186.430413 185.448844 +L 186.101168 185.310019 +L 185.18941 184.953911 +L 184.277651 184.629525 +L 183.992874 184.537085 +L 183.365892 184.331261 +L 182.454133 184.062034 +L 181.542374 183.823708 +L 180.672013 183.625327 +L 180.630616 183.615737 +L 179.718857 183.433816 +L 178.807098 183.283026 +L 177.895339 183.163426 +L 176.98358 183.07521 +L 176.071822 183.018714 +L 175.160063 182.994417 +L 174.248304 183.00296 +L 173.336545 183.045149 +L 172.424786 183.121972 +L 171.513028 183.234612 +L 170.601269 183.384467 +L 169.68951 183.573164 +L 169.480581 183.625327 +L 168.777751 183.798106 +L 167.865992 184.063541 +L 166.954234 184.373205 +L 166.531755 184.537085 +L 166.042475 184.725206 +L 165.130716 185.122171 +L 164.464394 185.448844 +L 164.218957 185.56872 +L 163.307198 186.062833 +L 162.811419 186.360603 +L 162.39544 186.610829 +L 161.483681 187.215364 +L 161.404486 187.272362 +L 160.571922 187.875842 +L 160.181562 188.184121 +L 159.660163 188.600307 +L 159.086541 189.095879 +L 158.748405 189.392238 +L 158.095598 190.007638 +L 157.836646 190.256233 +L 157.19056 190.919397 +L 156.924887 191.198193 +L 156.357512 191.831156 +L 156.013128 192.225544 +L 155.5858 192.742915 +L 155.101369 193.347518 +L 154.867321 193.654673 +L 154.196079 194.566432 +L 154.189611 194.575444 +L 153.569651 195.478191 +L 153.277852 195.920967 +L 152.98058 196.38995 +L 152.426752 197.301709 +L 152.366093 197.404843 +L 151.90589 198.213467 +L 151.454334 199.050308 +L 151.415016 199.125226 +L 150.9522 200.036985 +L 150.542575 200.892884 +L 150.516417 200.948744 +L 150.104635 201.860503 +L 149.71783 202.772261 +L 149.630817 202.986923 +L 149.352383 203.68402 +L 149.009314 204.595779 +L 148.719058 205.419056 +L 148.688129 205.507538 +L 148.384772 206.419296 +L 148.102425 207.331055 +L 147.840395 208.242814 +L 147.807299 208.365435 +L 147.594335 209.154573 +L 147.367165 210.066332 +L 147.158975 210.97809 +L 146.969331 211.889849 +L 146.89554 212.279281 +L 146.795705 212.801608 +L 146.638714 213.713367 +L 146.499743 214.625126 +L 146.378612 215.536884 +L 146.275214 216.448643 +L 146.18951 217.360402 +L 146.121533 218.272161 +L 146.071394 219.18392 +L 146.039283 220.095678 +L 146.025473 221.007437 +L 146.030329 221.919196 +L 146.054308 222.830955 +L 146.097972 223.742714 +L 146.161993 224.654472 +L 146.247166 225.566231 +L 146.354415 226.47799 +L 146.484814 227.389749 +L 146.639593 228.301508 +L 146.820164 229.213266 +L 146.89554 229.547012 +L 147.025269 230.125025 +L 147.257344 231.036784 +L 147.520052 231.948543 +L 147.807299 232.834921 +L 147.815555 232.860302 +L 148.140967 233.77206 +L 148.504232 234.683819 +L 148.719058 235.174418 +L 148.906119 235.595578 +L 149.349443 236.507337 +L 149.630817 237.036094 +L 149.83934 237.419095 +L 150.379444 238.330854 +L 150.542575 238.586166 +L 150.975541 239.242613 +L 151.454334 239.9118 +L 151.634686 240.154372 +L 152.364379 241.066131 +L 152.366093 241.068151 +L 153.175775 241.977889 +L 153.277852 242.085706 +L 154.081794 242.889648 +L 154.189611 242.991725 +L 155.099349 243.801407 +L 155.101369 243.803121 +L 156.013128 244.532814 +L 156.2557 244.713166 +L 156.924887 245.191959 +L 157.581334 245.624925 +L 157.836646 245.788056 +L 158.748405 246.32816 +L 159.131406 246.536683 +L 159.660163 246.818057 +L 160.571922 247.261381 +L 160.993082 247.448442 +L 161.483681 247.663268 +L 162.39544 248.026533 +L 163.307198 248.351945 +L 163.332579 248.360201 +L 164.218957 248.647448 +L 165.130716 248.910156 +L 166.042475 249.142231 +L 166.620488 249.27196 +L 166.954234 249.347336 +z +" clip-path="url(#pdb3adfb13f)" style="fill: none; stroke: #abd0e6; stroke-width: 1.5"/> + </g> + <g id="PathCollection_5"> + <path d="M 169.68951 245.712247 +L 170.601269 245.846612 +L 171.513028 245.953318 +L 172.424786 246.033525 +L 173.336545 246.088228 +L 174.248304 246.118269 +L 175.160063 246.124352 +L 176.071822 246.107052 +L 176.98358 246.066822 +L 177.895339 246.004007 +L 178.807098 245.918844 +L 179.718857 245.811472 +L 180.630616 245.681932 +L 180.975141 245.624925 +L 181.542374 245.530661 +L 182.454133 245.357441 +L 183.365892 245.161762 +L 184.277651 244.943317 +L 185.146791 244.713166 +L 185.18941 244.701727 +L 186.101168 244.436737 +L 187.012927 244.147588 +L 187.924686 243.833644 +L 188.012763 243.801407 +L 188.836445 243.493146 +L 189.748204 243.126127 +L 190.299579 242.889648 +L 190.659962 242.730581 +L 191.571721 242.304693 +L 192.230125 241.977889 +L 192.48348 241.847636 +L 193.395239 241.355437 +L 193.903623 241.066131 +L 194.306997 240.82683 +L 195.218756 240.258936 +L 195.380169 240.154372 +L 196.130515 239.644335 +L 196.695435 239.242613 +L 197.042274 238.982336 +L 197.876319 238.330854 +L 197.954033 238.266418 +L 198.865791 237.485233 +L 198.940669 237.419095 +L 199.77755 236.628943 +L 199.902738 236.507337 +L 200.689309 235.685384 +L 200.773202 235.595578 +L 201.560774 234.683819 +L 201.601068 234.633123 +L 202.273388 233.77206 +L 202.512827 233.435221 +L 202.91589 232.860302 +L 203.424585 232.056528 +L 203.492247 231.948543 +L 204.009574 231.036784 +L 204.336344 230.388111 +L 204.468296 230.125025 +L 204.874271 229.213266 +L 205.226758 228.301508 +L 205.248103 228.237805 +L 205.533067 227.389749 +L 205.791393 226.47799 +L 206.00386 225.566231 +L 206.159862 224.723688 +L 206.1728 224.654472 +L 206.301713 223.742714 +L 206.389634 222.830955 +L 206.437918 221.919196 +L 206.447694 221.007437 +L 206.419888 220.095678 +L 206.35523 219.18392 +L 206.254271 218.272161 +L 206.159862 217.642237 +L 206.11808 217.360402 +L 205.948294 216.448643 +L 205.743458 215.536884 +L 205.503492 214.625126 +L 205.248103 213.778687 +L 205.228474 213.713367 +L 204.922015 212.801608 +L 204.579903 211.889849 +L 204.336344 211.299958 +L 204.203283 210.97809 +L 203.793315 210.066332 +L 203.424585 209.312611 +L 203.346863 209.154573 +L 202.866668 208.242814 +L 202.512827 207.61774 +L 202.349029 207.331055 +L 201.794906 206.419296 +L 201.601068 206.118219 +L 201.202656 205.507538 +L 200.689309 204.765228 +L 200.570206 204.595779 +L 199.896969 203.68402 +L 199.77755 203.529472 +L 199.180453 202.772261 +L 198.865791 202.390867 +L 198.417839 201.860503 +L 197.954033 201.333508 +L 197.606233 200.948744 +L 197.042274 200.347684 +L 196.741845 200.036985 +L 196.130515 199.425655 +L 195.819816 199.125226 +L 195.218756 198.561267 +L 194.833992 198.213467 +L 194.306997 197.749661 +L 193.776633 197.301709 +L 193.395239 196.987047 +L 192.638028 196.38995 +L 192.48348 196.270531 +L 191.571721 195.597294 +L 191.402272 195.478191 +L 190.659962 194.964844 +L 190.049281 194.566432 +L 189.748204 194.372594 +L 188.836445 193.818471 +L 188.54976 193.654673 +L 187.924686 193.300832 +L 187.012927 192.820637 +L 186.854889 192.742915 +L 186.101168 192.374185 +L 185.18941 191.964217 +L 184.867542 191.831156 +L 184.277651 191.587597 +L 183.365892 191.245485 +L 182.454133 190.939026 +L 182.388813 190.919397 +L 181.542374 190.664008 +L 180.630616 190.424042 +L 179.718857 190.219206 +L 178.807098 190.04942 +L 178.525263 190.007638 +L 177.895339 189.913229 +L 176.98358 189.81227 +L 176.071822 189.747612 +L 175.160063 189.719806 +L 174.248304 189.729582 +L 173.336545 189.777866 +L 172.424786 189.865787 +L 171.513028 189.9947 +L 171.443812 190.007638 +L 170.601269 190.16364 +L 169.68951 190.376107 +L 168.777751 190.634433 +L 167.929695 190.919397 +L 167.865992 190.940742 +L 166.954234 191.293229 +L 166.042475 191.699204 +L 165.779389 191.831156 +L 165.130716 192.157926 +L 164.218957 192.675253 +L 164.110972 192.742915 +L 163.307198 193.25161 +L 162.732279 193.654673 +L 162.39544 193.894112 +L 161.534377 194.566432 +L 161.483681 194.606726 +L 160.571922 195.394298 +L 160.482116 195.478191 +L 159.660163 196.264762 +L 159.538557 196.38995 +L 158.748405 197.226831 +L 158.682267 197.301709 +L 157.901082 198.213467 +L 157.836646 198.291181 +L 157.185164 199.125226 +L 156.924887 199.472065 +L 156.523165 200.036985 +L 156.013128 200.787331 +L 155.908564 200.948744 +L 155.34067 201.860503 +L 155.101369 202.263877 +L 154.812063 202.772261 +L 154.319864 203.68402 +L 154.189611 203.937375 +L 153.862807 204.595779 +L 153.436919 205.507538 +L 153.277852 205.867921 +L 153.041373 206.419296 +L 152.674354 207.331055 +L 152.366093 208.154737 +L 152.333856 208.242814 +L 152.019912 209.154573 +L 151.730763 210.066332 +L 151.465773 210.97809 +L 151.454334 211.020709 +L 151.224183 211.889849 +L 151.005738 212.801608 +L 150.810059 213.713367 +L 150.636839 214.625126 +L 150.542575 215.192359 +L 150.485568 215.536884 +L 150.356028 216.448643 +L 150.248656 217.360402 +L 150.163493 218.272161 +L 150.100678 219.18392 +L 150.060448 220.095678 +L 150.043148 221.007437 +L 150.049231 221.919196 +L 150.079272 222.830955 +L 150.133975 223.742714 +L 150.214182 224.654472 +L 150.320888 225.566231 +L 150.455253 226.47799 +L 150.542575 226.967645 +L 150.618232 227.389749 +L 150.811154 228.301508 +L 151.036224 229.213266 +L 151.295446 230.125025 +L 151.454334 230.618972 +L 151.59098 231.036784 +L 151.925363 231.948543 +L 152.301675 232.860302 +L 152.366093 233.002412 +L 152.724454 233.77206 +L 153.196656 234.683819 +L 153.277852 234.827972 +L 153.725794 235.595578 +L 154.189611 236.318558 +L 154.315913 236.507337 +L 154.976881 237.419095 +L 155.101369 237.578511 +L 155.719663 238.330854 +L 156.013128 238.662866 +L 156.556216 239.242613 +L 156.924887 239.611284 +L 157.504634 240.154372 +L 157.836646 240.447837 +L 158.588989 241.066131 +L 158.748405 241.190619 +L 159.660163 241.851587 +L 159.848942 241.977889 +L 160.571922 242.441706 +L 161.339528 242.889648 +L 161.483681 242.970844 +L 162.39544 243.443046 +L 163.165088 243.801407 +L 163.307198 243.865825 +L 164.218957 244.242137 +L 165.130716 244.57652 +L 165.548528 244.713166 +L 166.042475 244.872054 +L 166.954234 245.131276 +L 167.865992 245.356346 +L 168.777751 245.549268 +L 169.199855 245.624925 +L 169.68951 245.712247 +z +" clip-path="url(#pdb3adfb13f)" style="fill: none; stroke: #82bbdb; stroke-width: 1.5"/> + </g> + <g id="PathCollection_6"> + <path d="M 171.513028 242.01869 +L 172.424786 242.119459 +L 173.336545 242.188185 +L 174.248304 242.225927 +L 175.160063 242.233569 +L 176.071822 242.211834 +L 176.98358 242.161291 +L 177.895339 242.082374 +L 178.785823 241.977889 +L 178.807098 241.975349 +L 179.718857 241.83881 +L 180.630616 241.674084 +L 181.542374 241.481107 +L 182.454133 241.259707 +L 183.161709 241.066131 +L 183.365892 241.008654 +L 184.277651 240.724775 +L 185.18941 240.410806 +L 185.870441 240.154372 +L 186.101168 240.06424 +L 187.012927 239.680075 +L 187.924686 239.262965 +L 187.966579 239.242613 +L 188.836445 238.800599 +L 189.696089 238.330854 +L 189.748204 238.300887 +L 190.659962 237.748091 +L 191.171222 237.419095 +L 191.571721 237.1459 +L 192.458405 236.507337 +L 192.48348 236.488068 +L 193.395239 235.756669 +L 193.587393 235.595578 +L 194.306997 234.946796 +L 194.587438 234.683819 +L 195.218756 234.042483 +L 195.476012 233.77206 +L 196.130515 233.020839 +L 196.266347 232.860302 +L 196.968433 231.948543 +L 197.042274 231.84246 +L 197.590525 231.036784 +L 197.954033 230.437038 +L 198.139726 230.125025 +L 198.621005 229.213266 +L 198.865791 228.682204 +L 199.039144 228.301508 +L 199.397884 227.389749 +L 199.700116 226.47799 +L 199.77755 226.195614 +L 199.949334 225.566231 +L 200.14748 224.654472 +L 200.296421 223.742714 +L 200.398001 222.830955 +L 200.453786 221.919196 +L 200.465082 221.007437 +L 200.432955 220.095678 +L 200.358252 219.18392 +L 200.241608 218.272161 +L 200.083465 217.360402 +L 199.884081 216.448643 +L 199.77755 216.043029 +L 199.644033 215.536884 +L 199.363283 214.625126 +L 199.041181 213.713367 +L 198.865791 213.271164 +L 198.677606 212.801608 +L 198.272034 211.889849 +L 197.954033 211.240776 +L 197.823373 210.97809 +L 197.330569 210.066332 +L 197.042274 209.573728 +L 196.792033 209.154573 +L 196.206307 208.242814 +L 196.130515 208.131874 +L 195.569715 207.331055 +L 195.218756 206.860344 +L 194.880377 206.419296 +L 194.306997 205.713163 +L 194.134491 205.507538 +L 193.395239 204.670368 +L 193.326899 204.595779 +L 192.48348 203.716737 +L 192.450763 203.68402 +L 191.571721 202.840601 +L 191.497132 202.772261 +L 190.659962 202.033009 +L 190.454337 201.860503 +L 189.748204 201.287123 +L 189.307156 200.948744 +L 188.836445 200.597785 +L 188.035626 200.036985 +L 187.924686 199.961193 +L 187.012927 199.375467 +L 186.593772 199.125226 +L 186.101168 198.836931 +L 185.18941 198.344127 +L 184.926724 198.213467 +L 184.277651 197.895466 +L 183.365892 197.489894 +L 182.896336 197.301709 +L 182.454133 197.126319 +L 181.542374 196.804217 +L 180.630616 196.523467 +L 180.124471 196.38995 +L 179.718857 196.283419 +L 178.807098 196.084035 +L 177.895339 195.925892 +L 176.98358 195.809248 +L 176.071822 195.734545 +L 175.160063 195.702418 +L 174.248304 195.713714 +L 173.336545 195.769499 +L 172.424786 195.871079 +L 171.513028 196.02002 +L 170.601269 196.218166 +L 169.971886 196.38995 +L 169.68951 196.467384 +L 168.777751 196.769616 +L 167.865992 197.128356 +L 167.485296 197.301709 +L 166.954234 197.546495 +L 166.042475 198.027774 +L 165.730462 198.213467 +L 165.130716 198.576975 +L 164.32504 199.125226 +L 164.218957 199.199067 +L 163.307198 199.901153 +L 163.146661 200.036985 +L 162.39544 200.691488 +L 162.125017 200.948744 +L 161.483681 201.580062 +L 161.220704 201.860503 +L 160.571922 202.580107 +L 160.410831 202.772261 +L 159.679432 203.68402 +L 159.660163 203.709095 +L 159.0216 204.595779 +L 158.748405 204.996278 +L 158.419409 205.507538 +L 157.866613 206.419296 +L 157.836646 206.471411 +L 157.366901 207.331055 +L 156.924887 208.200921 +L 156.904535 208.242814 +L 156.487425 209.154573 +L 156.10326 210.066332 +L 156.013128 210.297059 +L 155.756694 210.97809 +L 155.442725 211.889849 +L 155.158846 212.801608 +L 155.101369 213.005791 +L 154.907793 213.713367 +L 154.686393 214.625126 +L 154.493416 215.536884 +L 154.32869 216.448643 +L 154.192151 217.360402 +L 154.189611 217.381677 +L 154.085126 218.272161 +L 154.006209 219.18392 +L 153.955666 220.095678 +L 153.933931 221.007437 +L 153.941573 221.919196 +L 153.979315 222.830955 +L 154.048041 223.742714 +L 154.14881 224.654472 +L 154.189611 224.933267 +L 154.284004 225.566231 +L 154.454867 226.47799 +L 154.662609 227.389749 +L 154.909193 228.301508 +L 155.101369 228.913366 +L 155.198464 229.213266 +L 155.535334 230.125025 +L 155.91955 231.036784 +L 156.013128 231.23596 +L 156.361807 231.948543 +L 156.861779 232.860302 +L 156.924887 232.965188 +L 157.434989 233.77206 +L 157.836646 234.34815 +L 158.084299 234.683819 +L 158.748405 235.507656 +L 158.82396 235.595578 +L 159.660163 236.49394 +L 159.67356 236.507337 +L 160.571922 237.34354 +L 160.659844 237.419095 +L 161.483681 238.083201 +L 161.81935 238.330854 +L 162.39544 238.732511 +L 163.202312 239.242613 +L 163.307198 239.305721 +L 164.218957 239.805693 +L 164.93154 240.154372 +L 165.130716 240.24795 +L 166.042475 240.632166 +L 166.954234 240.969036 +L 167.254134 241.066131 +L 167.865992 241.258307 +L 168.777751 241.504891 +L 169.68951 241.712633 +L 170.601269 241.883496 +L 171.234233 241.977889 +L 171.513028 242.01869 +z +" clip-path="url(#pdb3adfb13f)" style="fill: none; stroke: #58a1cf; stroke-width: 1.5"/> + </g> + <g id="PathCollection_7"> + <path d="M 169.68951 237.455839 +L 170.601269 237.68128 +L 171.513028 237.860314 +L 172.424786 237.994889 +L 173.336545 238.086671 +L 174.248304 238.137075 +L 175.160063 238.147281 +L 176.071822 238.118254 +L 176.98358 238.050755 +L 177.895339 237.945363 +L 178.807098 237.802474 +L 179.718857 237.622321 +L 180.571833 237.419095 +L 180.630616 237.404455 +L 181.542374 237.140435 +L 182.454133 236.837528 +L 183.334306 236.507337 +L 183.365892 236.494833 +L 184.277651 236.096535 +L 185.18941 235.656017 +L 185.304918 235.595578 +L 186.101168 235.151743 +L 186.873977 234.683819 +L 187.012927 234.593518 +L 187.924686 233.959189 +L 188.176873 233.77206 +L 188.836445 233.241918 +L 189.283906 232.860302 +L 189.748204 232.42761 +L 190.236124 231.948543 +L 190.659962 231.489401 +L 191.059133 231.036784 +L 191.571721 230.388542 +L 191.772009 230.125025 +L 192.387216 229.213266 +L 192.48348 229.050793 +L 192.913425 228.301508 +L 193.362977 227.389749 +L 193.395239 227.312802 +L 193.736615 226.47799 +L 194.043533 225.566231 +L 194.287273 224.654472 +L 194.306997 224.556758 +L 194.468596 223.742714 +L 194.592107 222.830955 +L 194.659936 221.919196 +L 194.67367 221.007437 +L 194.634608 220.095678 +L 194.543776 219.18392 +L 194.40195 218.272161 +L 194.306997 217.820694 +L 194.208528 217.360402 +L 193.963266 216.448643 +L 193.66737 215.536884 +L 193.395239 214.819659 +L 193.319617 214.625126 +L 192.915978 213.713367 +L 192.48348 212.848025 +L 192.459568 212.801608 +L 191.941136 211.889849 +L 191.571721 211.299435 +L 191.363194 210.97809 +L 190.719675 210.066332 +L 190.659962 209.987606 +L 190.000414 209.154573 +L 189.748204 208.857206 +L 189.201172 208.242814 +L 188.836445 207.857576 +L 188.309924 207.331055 +L 187.924686 206.966328 +L 187.310294 206.419296 +L 187.012927 206.167086 +L 186.179894 205.507538 +L 186.101168 205.447825 +L 185.18941 204.804306 +L 184.868065 204.595779 +L 184.277651 204.226364 +L 183.365892 203.707932 +L 183.319475 203.68402 +L 182.454133 203.251522 +L 181.542374 202.847883 +L 181.347841 202.772261 +L 180.630616 202.50013 +L 179.718857 202.204234 +L 178.807098 201.958972 +L 178.346806 201.860503 +L 177.895339 201.76555 +L 176.98358 201.623724 +L 176.071822 201.532892 +L 175.160063 201.49383 +L 174.248304 201.507564 +L 173.336545 201.575393 +L 172.424786 201.698904 +L 171.610742 201.860503 +L 171.513028 201.880227 +L 170.601269 202.123967 +L 169.68951 202.430885 +L 168.854698 202.772261 +L 168.777751 202.804523 +L 167.865992 203.254075 +L 167.116707 203.68402 +L 166.954234 203.780284 +L 166.042475 204.395491 +L 165.778958 204.595779 +L 165.130716 205.108367 +L 164.678099 205.507538 +L 164.218957 205.931376 +L 163.73989 206.419296 +L 163.307198 206.883594 +L 162.925582 207.331055 +L 162.39544 207.990627 +L 162.208311 208.242814 +L 161.573982 209.154573 +L 161.483681 209.293523 +L 161.015757 210.066332 +L 160.571922 210.862582 +L 160.511483 210.97809 +L 160.070965 211.889849 +L 159.672667 212.801608 +L 159.660163 212.833194 +L 159.329972 213.713367 +L 159.027065 214.625126 +L 158.763045 215.536884 +L 158.748405 215.595667 +L 158.545179 216.448643 +L 158.365026 217.360402 +L 158.222137 218.272161 +L 158.116745 219.18392 +L 158.049246 220.095678 +L 158.020219 221.007437 +L 158.030425 221.919196 +L 158.080829 222.830955 +L 158.172611 223.742714 +L 158.307186 224.654472 +L 158.48622 225.566231 +L 158.711661 226.47799 +L 158.748405 226.60129 +L 158.994526 227.389749 +L 159.331888 228.301508 +L 159.660163 229.063712 +L 159.728253 229.213266 +L 160.200901 230.125025 +L 160.571922 230.75595 +L 160.748193 231.036784 +L 161.388249 231.948543 +L 161.483681 232.0716 +L 162.143289 232.860302 +L 162.39544 233.134682 +L 163.032818 233.77206 +L 163.307198 234.024211 +L 164.0959 234.683819 +L 164.218957 234.779251 +L 165.130716 235.419307 +L 165.41155 235.595578 +L 166.042475 235.966599 +L 166.954234 236.439247 +L 167.103788 236.507337 +L 167.865992 236.835612 +L 168.777751 237.172974 +L 169.56621 237.419095 +L 169.68951 237.455839 +z +" clip-path="url(#pdb3adfb13f)" style="fill: none; stroke: #3787c0; stroke-width: 1.5"/> + </g> + <g id="PathCollection_8"> + <path d="M 171.513028 232.905936 +L 172.424786 233.105703 +L 173.336545 233.241947 +L 174.248304 233.316769 +L 175.160063 233.331919 +L 176.071822 233.28883 +L 176.98358 233.188633 +L 177.895339 233.032185 +L 178.634943 232.860302 +L 178.807098 232.817216 +L 179.718857 232.530773 +L 180.630616 232.185195 +L 181.165671 231.948543 +L 181.542374 231.766837 +L 182.454133 231.265039 +L 182.823889 231.036784 +L 183.365892 230.667368 +L 184.084147 230.125025 +L 184.277651 229.961658 +L 185.088786 229.213266 +L 185.18941 229.107924 +L 185.902527 228.301508 +L 186.101168 228.042082 +L 186.568312 227.389749 +L 187.012927 226.656748 +L 187.115252 226.47799 +L 187.548032 225.566231 +L 187.891725 224.654472 +L 187.924686 224.538662 +L 188.140918 223.742714 +L 188.30996 222.830955 +L 188.402793 221.919196 +L 188.42159 221.007437 +L 188.368128 220.095678 +L 188.243812 219.18392 +L 188.049703 218.272161 +L 187.924686 217.837806 +L 187.780689 217.360402 +L 187.434849 216.448643 +L 187.017611 215.536884 +L 187.012927 215.528065 +L 186.505122 214.625126 +L 186.101168 213.996912 +L 185.906458 213.713367 +L 185.204352 212.801608 +L 185.18941 212.784 +L 184.370237 211.889849 +L 184.277651 211.797263 +L 183.3835 210.97809 +L 183.365892 210.963148 +L 182.454133 210.261042 +L 182.170588 210.066332 +L 181.542374 209.662378 +L 180.639435 209.154573 +L 180.630616 209.149889 +L 179.718857 208.732651 +L 178.807098 208.386811 +L 178.329694 208.242814 +L 177.895339 208.117797 +L 176.98358 207.923688 +L 176.071822 207.799372 +L 175.160063 207.74591 +L 174.248304 207.764707 +L 173.336545 207.85754 +L 172.424786 208.026582 +L 171.628838 208.242814 +L 171.513028 208.275775 +L 170.601269 208.619468 +L 169.68951 209.052248 +L 169.510752 209.154573 +L 168.777751 209.599188 +L 168.125418 210.066332 +L 167.865992 210.264973 +L 167.059576 210.97809 +L 166.954234 211.078714 +L 166.205842 211.889849 +L 166.042475 212.083353 +L 165.500132 212.801608 +L 165.130716 213.343611 +L 164.902461 213.713367 +L 164.400663 214.625126 +L 164.218957 215.001829 +L 163.982305 215.536884 +L 163.636727 216.448643 +L 163.350284 217.360402 +L 163.307198 217.532557 +L 163.135315 218.272161 +L 162.978867 219.18392 +L 162.87867 220.095678 +L 162.835581 221.007437 +L 162.850731 221.919196 +L 162.925553 222.830955 +L 163.061797 223.742714 +L 163.261564 224.654472 +L 163.307198 224.811909 +L 163.542983 225.566231 +L 163.901434 226.47799 +L 164.218957 227.144094 +L 164.346759 227.389749 +L 164.905635 228.301508 +L 165.130716 228.619096 +L 165.596482 229.213266 +L 166.042475 229.713131 +L 166.454369 230.125025 +L 166.954234 230.571018 +L 167.548404 231.036784 +L 167.865992 231.261865 +L 168.777751 231.820741 +L 169.023406 231.948543 +L 169.68951 232.266066 +L 170.601269 232.624517 +L 171.355591 232.860302 +L 171.513028 232.905936 +z +" clip-path="url(#pdb3adfb13f)" style="fill: none; stroke: #1b69af; stroke-width: 1.5"/> + </g> + <g id="PathCollection_9"> + <path d="M 173.336545 224.799979 +L 174.248304 225.060356 +L 175.160063 225.113079 +L 176.071822 224.963129 +L 176.879158 224.654472 +L 176.98358 224.601851 +L 177.895339 223.88607 +L 178.030649 223.742714 +L 178.620112 222.830955 +L 178.807098 222.304728 +L 178.916873 221.919196 +L 178.9695 221.007437 +L 178.819824 220.095678 +L 178.807098 220.062258 +L 178.389449 219.18392 +L 177.895339 218.51763 +L 177.64987 218.272161 +L 176.98358 217.778051 +L 176.105242 217.360402 +L 176.071822 217.347676 +L 175.160063 217.198 +L 174.248304 217.250627 +L 173.862772 217.360402 +L 173.336545 217.547388 +L 172.424786 218.136851 +L 172.28143 218.272161 +L 171.565649 219.18392 +L 171.513028 219.288342 +L 171.204371 220.095678 +L 171.054421 221.007437 +L 171.107144 221.919196 +L 171.367521 222.830955 +L 171.513028 223.111445 +L 171.945072 223.742714 +L 172.424786 224.222428 +L 173.056055 224.654472 +L 173.336545 224.799979 +z +" clip-path="url(#pdb3adfb13f)" style="fill: none; stroke: #084d96; stroke-width: 1.5"/> + </g> + <g id="PathCollection_10"/> + <g id="line2d_13"> + <path d="M 56.3275 7.2 +L 388.9675 339.84 +L 388.9675 339.84 +" clip-path="url(#pdb3adfb13f)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 56.3275 339.84 +L 56.3275 7.2 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 388.9675 339.84 +L 388.9675 7.2 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 56.3275 339.84 +L 388.9675 339.84 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 56.3275 7.2 +L 388.9675 7.2 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="text_15"> + <!-- $\Omega$ --> + <g transform="translate(275.8699 120.2976)scale(0.25 -0.25)"> + <defs> + <path id="DejaVuSans-3a9" d="M 4647 556 +L 4647 0 +L 2772 0 +L 2772 556 +Q 3325 859 3634 1378 +Q 3944 1897 3944 2528 +Q 3944 3278 3531 3731 +Q 3119 4184 2444 4184 +Q 1769 4184 1355 3729 +Q 941 3275 941 2528 +Q 941 1897 1250 1378 +Q 1563 859 2119 556 +L 2119 0 +L 244 0 +L 244 556 +L 1241 556 +Q 747 991 519 1456 +Q 294 1922 294 2497 +Q 294 3491 894 4106 +Q 1491 4722 2444 4722 +Q 3391 4722 3994 4106 +Q 4594 3494 4594 2528 +Q 4594 1922 4372 1459 +Q 4150 997 3647 556 +L 4647 556 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-3a9" transform="translate(0 0.21875)"/> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="pdb3adfb13f"> + <rect x="56.3275" y="7.2" width="332.64" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/design_2_rv_error_1.svg b/book/figures/design_2_rv_error_1.svg new file mode 100644 index 0000000..499e389 --- /dev/null +++ b/book/figures/design_2_rv_error_1.svg @@ -0,0 +1,1137 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="331.34325pt" height="327.510125pt" viewBox="0 0 331.34325 327.510125" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-01-08T11:58:13.587795</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 327.510125 +L 331.34325 327.510125 +L 331.34325 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 48.4875 288.432 +L 314.5995 288.432 +L 314.5995 22.32 +L 48.4875 22.32 +z +" style="fill: #ffffff"/> + </g> + <g id="PolyCollection_1"> + <defs> + <path id="m71bfd49605" d="M 235.550653 -305.190125 +L 235.550653 -226.141278 +L 314.5995 -226.141278 +L 314.5995 -305.190125 +L 314.5995 -305.190125 +L 235.550653 -305.190125 +z +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g clip-path="url(#pb3c3dcfc98)"> + <use xlink:href="#m71bfd49605" x="0" y="327.510125" style="fill: #d3d3d3; stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="patch_3"> + <path clip-path="url(#pb3c3dcfc98)" style="fill: none; stroke: #000000; stroke-width: 4; stroke-linejoin: miter"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="m3e63e6deb0" d="M 0 0 +L 0 3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m3e63e6deb0" x="66.2283" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_1"> + <!-- 60 --> + <g transform="translate(59.8658 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#m3e63e6deb0" x="101.7099" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_2"> + <!-- 80 --> + <g transform="translate(95.3474 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#m3e63e6deb0" x="137.1915" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_3"> + <!-- 100 --> + <g transform="translate(127.64775 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#m3e63e6deb0" x="172.6731" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_4"> + <!-- 120 --> + <g transform="translate(163.12935 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-32" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <g> + <use xlink:href="#m3e63e6deb0" x="208.1547" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_5"> + <!-- 140 --> + <g transform="translate(198.61095 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-34" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#m3e63e6deb0" x="243.6363" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_6"> + <!-- 160 --> + <g transform="translate(234.09255 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-36" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_7"> + <g> + <use xlink:href="#m3e63e6deb0" x="279.1179" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_7"> + <!-- 180 --> + <g transform="translate(269.57415 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-38" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_8"> + <g> + <use xlink:href="#m3e63e6deb0" x="314.5995" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_8"> + <!-- 200 --> + <g transform="translate(305.05575 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_9"> + <!-- River Discharge, $q_1$ [m$^3$/s] --> + <g transform="translate(116.0435 318.210125)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-52" d="M 2841 2188 +Q 3044 2119 3236 1894 +Q 3428 1669 3622 1275 +L 4263 0 +L 3584 0 +L 2988 1197 +Q 2756 1666 2539 1819 +Q 2322 1972 1947 1972 +L 1259 1972 +L 1259 0 +L 628 0 +L 628 4666 +L 2053 4666 +Q 2853 4666 3247 4331 +Q 3641 3997 3641 3322 +Q 3641 2881 3436 2590 +Q 3231 2300 2841 2188 +z +M 1259 4147 +L 1259 2491 +L 2053 2491 +Q 2509 2491 2742 2702 +Q 2975 2913 2975 3322 +Q 2975 3731 2742 3939 +Q 2509 4147 2053 4147 +L 1259 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-69" d="M 603 3500 +L 1178 3500 +L 1178 0 +L 603 0 +L 603 3500 +z +M 603 4863 +L 1178 4863 +L 1178 4134 +L 603 4134 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-76" d="M 191 3500 +L 800 3500 +L 1894 563 +L 2988 3500 +L 3597 3500 +L 2284 0 +L 1503 0 +L 191 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-65" d="M 3597 1894 +L 3597 1613 +L 953 1613 +Q 991 1019 1311 708 +Q 1631 397 2203 397 +Q 2534 397 2845 478 +Q 3156 559 3463 722 +L 3463 178 +Q 3153 47 2828 -22 +Q 2503 -91 2169 -91 +Q 1331 -91 842 396 +Q 353 884 353 1716 +Q 353 2575 817 3079 +Q 1281 3584 2069 3584 +Q 2775 3584 3186 3129 +Q 3597 2675 3597 1894 +z +M 3022 2063 +Q 3016 2534 2758 2815 +Q 2500 3097 2075 3097 +Q 1594 3097 1305 2825 +Q 1016 2553 972 2059 +L 3022 2063 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-72" d="M 2631 2963 +Q 2534 3019 2420 3045 +Q 2306 3072 2169 3072 +Q 1681 3072 1420 2755 +Q 1159 2438 1159 1844 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1341 3275 1631 3429 +Q 1922 3584 2338 3584 +Q 2397 3584 2469 3576 +Q 2541 3569 2628 3553 +L 2631 2963 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-44" d="M 1259 4147 +L 1259 519 +L 2022 519 +Q 2988 519 3436 956 +Q 3884 1394 3884 2338 +Q 3884 3275 3436 3711 +Q 2988 4147 2022 4147 +L 1259 4147 +z +M 628 4666 +L 1925 4666 +Q 3281 4666 3915 4102 +Q 4550 3538 4550 2338 +Q 4550 1131 3912 565 +Q 3275 0 1925 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-73" d="M 2834 3397 +L 2834 2853 +Q 2591 2978 2328 3040 +Q 2066 3103 1784 3103 +Q 1356 3103 1142 2972 +Q 928 2841 928 2578 +Q 928 2378 1081 2264 +Q 1234 2150 1697 2047 +L 1894 2003 +Q 2506 1872 2764 1633 +Q 3022 1394 3022 966 +Q 3022 478 2636 193 +Q 2250 -91 1575 -91 +Q 1294 -91 989 -36 +Q 684 19 347 128 +L 347 722 +Q 666 556 975 473 +Q 1284 391 1588 391 +Q 1994 391 2212 530 +Q 2431 669 2431 922 +Q 2431 1156 2273 1281 +Q 2116 1406 1581 1522 +L 1381 1569 +Q 847 1681 609 1914 +Q 372 2147 372 2553 +Q 372 3047 722 3315 +Q 1072 3584 1716 3584 +Q 2034 3584 2315 3537 +Q 2597 3491 2834 3397 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-63" d="M 3122 3366 +L 3122 2828 +Q 2878 2963 2633 3030 +Q 2388 3097 2138 3097 +Q 1578 3097 1268 2742 +Q 959 2388 959 1747 +Q 959 1106 1268 751 +Q 1578 397 2138 397 +Q 2388 397 2633 464 +Q 2878 531 3122 666 +L 3122 134 +Q 2881 22 2623 -34 +Q 2366 -91 2075 -91 +Q 1284 -91 818 406 +Q 353 903 353 1747 +Q 353 2603 823 3093 +Q 1294 3584 2113 3584 +Q 2378 3584 2631 3529 +Q 2884 3475 3122 3366 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-68" d="M 3513 2113 +L 3513 0 +L 2938 0 +L 2938 2094 +Q 2938 2591 2744 2837 +Q 2550 3084 2163 3084 +Q 1697 3084 1428 2787 +Q 1159 2491 1159 1978 +L 1159 0 +L 581 0 +L 581 4863 +L 1159 4863 +L 1159 2956 +Q 1366 3272 1645 3428 +Q 1925 3584 2291 3584 +Q 2894 3584 3203 3211 +Q 3513 2838 3513 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-61" d="M 2194 1759 +Q 1497 1759 1228 1600 +Q 959 1441 959 1056 +Q 959 750 1161 570 +Q 1363 391 1709 391 +Q 2188 391 2477 730 +Q 2766 1069 2766 1631 +L 2766 1759 +L 2194 1759 +z +M 3341 1997 +L 3341 0 +L 2766 0 +L 2766 531 +Q 2569 213 2275 61 +Q 1981 -91 1556 -91 +Q 1019 -91 701 211 +Q 384 513 384 1019 +Q 384 1609 779 1909 +Q 1175 2209 1959 2209 +L 2766 2209 +L 2766 2266 +Q 2766 2663 2505 2880 +Q 2244 3097 1772 3097 +Q 1472 3097 1187 3025 +Q 903 2953 641 2809 +L 641 3341 +Q 956 3463 1253 3523 +Q 1550 3584 1831 3584 +Q 2591 3584 2966 3190 +Q 3341 2797 3341 1997 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-67" d="M 2906 1791 +Q 2906 2416 2648 2759 +Q 2391 3103 1925 3103 +Q 1463 3103 1205 2759 +Q 947 2416 947 1791 +Q 947 1169 1205 825 +Q 1463 481 1925 481 +Q 2391 481 2648 825 +Q 2906 1169 2906 1791 +z +M 3481 434 +Q 3481 -459 3084 -895 +Q 2688 -1331 1869 -1331 +Q 1566 -1331 1297 -1286 +Q 1028 -1241 775 -1147 +L 775 -588 +Q 1028 -725 1275 -790 +Q 1522 -856 1778 -856 +Q 2344 -856 2625 -561 +Q 2906 -266 2906 331 +L 2906 616 +Q 2728 306 2450 153 +Q 2172 0 1784 0 +Q 1141 0 747 490 +Q 353 981 353 1791 +Q 353 2603 747 3093 +Q 1141 3584 1784 3584 +Q 2172 3584 2450 3431 +Q 2728 3278 2906 2969 +L 2906 3500 +L 3481 3500 +L 3481 434 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2c" d="M 750 794 +L 1409 794 +L 1409 256 +L 897 -744 +L 494 -744 +L 750 256 +L 750 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-71" d="M 2669 525 +Q 2438 222 2123 65 +Q 1809 -91 1428 -91 +Q 897 -91 595 267 +Q 294 625 294 1253 +Q 294 1759 480 2231 +Q 666 2703 1013 3078 +Q 1238 3322 1530 3453 +Q 1822 3584 2144 3584 +Q 2531 3584 2781 3431 +Q 3031 3278 3144 2969 +L 3244 3494 +L 3822 3494 +L 2888 -1319 +L 2309 -1319 +L 2669 525 +z +M 891 1338 +Q 891 875 1084 633 +Q 1278 391 1644 391 +Q 2188 391 2572 911 +Q 2956 1431 2956 2175 +Q 2956 2625 2757 2864 +Q 2559 3103 2188 3103 +Q 1916 3103 1684 2976 +Q 1453 2850 1281 2606 +Q 1100 2350 995 2006 +Q 891 1663 891 1338 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5b" d="M 550 4863 +L 1875 4863 +L 1875 4416 +L 1125 4416 +L 1125 -397 +L 1875 -397 +L 1875 -844 +L 550 -844 +L 550 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6d" d="M 3328 2828 +Q 3544 3216 3844 3400 +Q 4144 3584 4550 3584 +Q 5097 3584 5394 3201 +Q 5691 2819 5691 2113 +L 5691 0 +L 5113 0 +L 5113 2094 +Q 5113 2597 4934 2840 +Q 4756 3084 4391 3084 +Q 3944 3084 3684 2787 +Q 3425 2491 3425 1978 +L 3425 0 +L 2847 0 +L 2847 2094 +Q 2847 2600 2669 2842 +Q 2491 3084 2119 3084 +Q 1678 3084 1418 2786 +Q 1159 2488 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1356 3278 1631 3431 +Q 1906 3584 2284 3584 +Q 2666 3584 2933 3390 +Q 3200 3197 3328 2828 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2f" d="M 1625 4666 +L 2156 4666 +L 531 -594 +L 0 -594 +L 1625 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5d" d="M 1947 4863 +L 1947 -844 +L 622 -844 +L 622 -397 +L 1369 -397 +L 1369 4416 +L 622 4416 +L 622 4863 +L 1947 4863 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-52" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(69.482422 0.765625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(97.265625 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(156.445312 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(217.96875 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(259.082031 0.765625)"/> + <use xlink:href="#DejaVuSans-44" transform="translate(290.869141 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(367.871094 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(395.654297 0.765625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(447.753906 0.765625)"/> + <use xlink:href="#DejaVuSans-68" transform="translate(502.734375 0.765625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(566.113281 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(627.392578 0.765625)"/> + <use xlink:href="#DejaVuSans-67" transform="translate(668.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(731.982422 0.765625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(793.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(825.292969 0.765625)"/> + <use xlink:href="#DejaVuSans-Oblique-71" transform="translate(857.080078 0.765625)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(920.556641 -15.640625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(967.827148 0.765625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(999.614258 0.765625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(1038.62793 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(1136.99707 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-2f" transform="translate(1184.267578 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1217.958984 0.765625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(1270.058594 0.765625)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_9"> + <defs> + <path id="m48d219d91c" d="M 0 0 +L -3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m48d219d91c" x="48.4875" y="270.6912" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_10"> + <!-- 60 --> + <g transform="translate(28.7625 274.490419)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_10"> + <g> + <use xlink:href="#m48d219d91c" x="48.4875" y="235.2096" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_11"> + <!-- 80 --> + <g transform="translate(28.7625 239.008819)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_11"> + <g> + <use xlink:href="#m48d219d91c" x="48.4875" y="199.728" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_12"> + <!-- 100 --> + <g transform="translate(22.4 203.527219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_12"> + <g> + <use xlink:href="#m48d219d91c" x="48.4875" y="164.2464" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_13"> + <!-- 120 --> + <g transform="translate(22.4 168.045619)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-32" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_13"> + <g> + <use xlink:href="#m48d219d91c" x="48.4875" y="128.7648" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_14"> + <!-- 140 --> + <g transform="translate(22.4 132.564019)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-34" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_14"> + <g> + <use xlink:href="#m48d219d91c" x="48.4875" y="93.2832" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_15"> + <!-- 160 --> + <g transform="translate(22.4 97.082419)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-36" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_15"> + <g> + <use xlink:href="#m48d219d91c" x="48.4875" y="57.8016" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_16"> + <!-- 180 --> + <g transform="translate(22.4 61.600819)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-38" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_16"> + <g> + <use xlink:href="#m48d219d91c" x="48.4875" y="22.32" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_17"> + <!-- 200 --> + <g transform="translate(22.4 26.119219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_18"> + <!-- River Discharge, $q_2$ [m$^3$/s] --> + <g transform="translate(16.3 220.876)rotate(-90)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-52" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(69.482422 0.765625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(97.265625 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(156.445312 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(217.96875 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(259.082031 0.765625)"/> + <use xlink:href="#DejaVuSans-44" transform="translate(290.869141 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(367.871094 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(395.654297 0.765625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(447.753906 0.765625)"/> + <use xlink:href="#DejaVuSans-68" transform="translate(502.734375 0.765625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(566.113281 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(627.392578 0.765625)"/> + <use xlink:href="#DejaVuSans-67" transform="translate(668.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(731.982422 0.765625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(793.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(825.292969 0.765625)"/> + <use xlink:href="#DejaVuSans-Oblique-71" transform="translate(857.080078 0.765625)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(920.556641 -15.640625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(967.827148 0.765625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(999.614258 0.765625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(1038.62793 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(1136.99707 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-2f" transform="translate(1184.267578 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1217.958984 0.765625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(1270.058594 0.765625)"/> + </g> + </g> + </g> + <g id="LineCollection_1"> + <path d="M 235.550653 328.510125 +L 235.550653 101.368847 +" clip-path="url(#pb3c3dcfc98)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_2"> + <path d="M -1 101.368847 +L 235.550653 101.368847 +" clip-path="url(#pb3c3dcfc98)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_3"> + <path d="M 235.550653 328.510125 +L 235.550653 101.368847 +" clip-path="url(#pb3c3dcfc98)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_4"> + <path d="M -1 101.368847 +L 235.550653 101.368847 +" clip-path="url(#pb3c3dcfc98)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="patch_4"> + <path d="M 48.4875 288.432 +L 48.4875 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 314.5995 288.432 +L 314.5995 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 48.4875 288.432 +L 314.5995 288.432 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_7"> + <path d="M 48.4875 22.32 +L 314.5995 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="text_19"> + <!-- $p_{AND}$ (P=1.00e-04) --> + <g transform="translate(126.2235 16.32)scale(0.12 -0.12)"> + <defs> + <path id="DejaVuSans-Oblique-70" d="M 3175 2156 +Q 3175 2616 2975 2859 +Q 2775 3103 2400 3103 +Q 2144 3103 1911 2972 +Q 1678 2841 1497 2591 +Q 1319 2344 1212 1994 +Q 1106 1644 1106 1300 +Q 1106 863 1306 627 +Q 1506 391 1875 391 +Q 2147 391 2380 519 +Q 2613 647 2778 891 +Q 2956 1147 3065 1494 +Q 3175 1841 3175 2156 +z +M 1394 2969 +Q 1625 3272 1939 3428 +Q 2253 3584 2638 3584 +Q 3175 3584 3472 3232 +Q 3769 2881 3769 2247 +Q 3769 1728 3584 1258 +Q 3400 788 3053 416 +Q 2822 169 2531 39 +Q 2241 -91 1919 -91 +Q 1547 -91 1294 64 +Q 1041 219 916 525 +L 556 -1331 +L -19 -1331 +L 922 3500 +L 1497 3500 +L 1394 2969 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-41" d="M 2356 4666 +L 3072 4666 +L 3938 0 +L 3278 0 +L 3084 1197 +L 984 1197 +L 325 0 +L -341 0 +L 2356 4666 +z +M 2584 4044 +L 1275 1722 +L 2988 1722 +L 2584 4044 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-44" d="M 1081 4666 +L 2438 4666 +Q 3519 4666 4070 4208 +Q 4622 3750 4622 2847 +Q 4622 2250 4412 1698 +Q 4203 1147 3834 769 +Q 3463 381 2891 190 +Q 2319 0 1538 0 +L 172 0 +L 1081 4666 +z +M 1613 4147 +L 909 519 +L 1734 519 +Q 2794 519 3375 1128 +Q 3956 1738 3956 2847 +Q 3956 3519 3581 3833 +Q 3206 4147 2406 4147 +L 1613 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-50" d="M 1259 4147 +L 1259 2394 +L 2053 2394 +Q 2494 2394 2734 2622 +Q 2975 2850 2975 3272 +Q 2975 3691 2734 3919 +Q 2494 4147 2053 4147 +L 1259 4147 +z +M 628 4666 +L 2053 4666 +Q 2838 4666 3239 4311 +Q 3641 3956 3641 3272 +Q 3641 2581 3239 2228 +Q 2838 1875 2053 1875 +L 1259 1875 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-3d" d="M 678 2906 +L 4684 2906 +L 4684 2381 +L 678 2381 +L 678 2906 +z +M 678 1631 +L 4684 1631 +L 4684 1100 +L 678 1100 +L 678 1631 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2d" d="M 313 2009 +L 1997 2009 +L 1997 1497 +L 313 1497 +L 313 2009 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-Oblique-70" transform="translate(0 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-41" transform="translate(63.476562 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(111.362305 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-Oblique-44" transform="translate(163.725586 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(220.361328 0.125)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(252.148438 0.125)"/> + <use xlink:href="#DejaVuSans-50" transform="translate(291.162109 0.125)"/> + <use xlink:href="#DejaVuSans-3d" transform="translate(351.464844 0.125)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(435.253906 0.125)"/> + <use xlink:href="#DejaVuSans-2e" transform="translate(498.876953 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(530.664062 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(594.287109 0.125)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(657.910156 0.125)"/> + <use xlink:href="#DejaVuSans-2d" transform="translate(719.433594 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(755.517578 0.125)"/> + <use xlink:href="#DejaVuSans-34" transform="translate(819.140625 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(882.763672 0.125)"/> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="pb3c3dcfc98"> + <rect x="48.4875" y="22.32" width="266.112" height="266.112"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/design_2_rv_error_2a.svg b/book/figures/design_2_rv_error_2a.svg new file mode 100644 index 0000000..4de95bf --- /dev/null +++ b/book/figures/design_2_rv_error_2a.svg @@ -0,0 +1,1128 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="331.34325pt" height="327.510125pt" viewBox="0 0 331.34325 327.510125" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-01-08T11:58:14.020152</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 327.510125 +L 331.34325 327.510125 +L 331.34325 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 48.4875 288.432 +L 314.5995 288.432 +L 314.5995 22.32 +L 48.4875 22.32 +z +" style="fill: #ffffff"/> + </g> + <g id="PolyCollection_1"> + <defs> + <path id="ma3a2854791" d="M 184.00695 -305.190125 +L 184.00695 -174.597575 +L 314.5995 -174.597575 +L 314.5995 -305.190125 +L 314.5995 -305.190125 +L 184.00695 -305.190125 +z +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g clip-path="url(#p4bfd716827)"> + <use xlink:href="#ma3a2854791" x="0" y="327.510125" style="fill: #d3d3d3; stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="patch_3"> + <path clip-path="url(#p4bfd716827)" style="fill: none; stroke: #000000; stroke-width: 4; stroke-linejoin: miter"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="m24c8ca269f" d="M 0 0 +L 0 3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m24c8ca269f" x="66.2283" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_1"> + <!-- 60 --> + <g transform="translate(59.8658 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#m24c8ca269f" x="101.7099" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_2"> + <!-- 80 --> + <g transform="translate(95.3474 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#m24c8ca269f" x="137.1915" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_3"> + <!-- 100 --> + <g transform="translate(127.64775 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#m24c8ca269f" x="172.6731" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_4"> + <!-- 120 --> + <g transform="translate(163.12935 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-32" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <g> + <use xlink:href="#m24c8ca269f" x="208.1547" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_5"> + <!-- 140 --> + <g transform="translate(198.61095 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-34" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#m24c8ca269f" x="243.6363" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_6"> + <!-- 160 --> + <g transform="translate(234.09255 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-36" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_7"> + <g> + <use xlink:href="#m24c8ca269f" x="279.1179" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_7"> + <!-- 180 --> + <g transform="translate(269.57415 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-38" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_8"> + <g> + <use xlink:href="#m24c8ca269f" x="314.5995" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_8"> + <!-- 200 --> + <g transform="translate(305.05575 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_9"> + <!-- River Discharge, $q_1$ [m$^3$/s] --> + <g transform="translate(116.0435 318.210125)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-52" d="M 2841 2188 +Q 3044 2119 3236 1894 +Q 3428 1669 3622 1275 +L 4263 0 +L 3584 0 +L 2988 1197 +Q 2756 1666 2539 1819 +Q 2322 1972 1947 1972 +L 1259 1972 +L 1259 0 +L 628 0 +L 628 4666 +L 2053 4666 +Q 2853 4666 3247 4331 +Q 3641 3997 3641 3322 +Q 3641 2881 3436 2590 +Q 3231 2300 2841 2188 +z +M 1259 4147 +L 1259 2491 +L 2053 2491 +Q 2509 2491 2742 2702 +Q 2975 2913 2975 3322 +Q 2975 3731 2742 3939 +Q 2509 4147 2053 4147 +L 1259 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-69" d="M 603 3500 +L 1178 3500 +L 1178 0 +L 603 0 +L 603 3500 +z +M 603 4863 +L 1178 4863 +L 1178 4134 +L 603 4134 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-76" d="M 191 3500 +L 800 3500 +L 1894 563 +L 2988 3500 +L 3597 3500 +L 2284 0 +L 1503 0 +L 191 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-65" d="M 3597 1894 +L 3597 1613 +L 953 1613 +Q 991 1019 1311 708 +Q 1631 397 2203 397 +Q 2534 397 2845 478 +Q 3156 559 3463 722 +L 3463 178 +Q 3153 47 2828 -22 +Q 2503 -91 2169 -91 +Q 1331 -91 842 396 +Q 353 884 353 1716 +Q 353 2575 817 3079 +Q 1281 3584 2069 3584 +Q 2775 3584 3186 3129 +Q 3597 2675 3597 1894 +z +M 3022 2063 +Q 3016 2534 2758 2815 +Q 2500 3097 2075 3097 +Q 1594 3097 1305 2825 +Q 1016 2553 972 2059 +L 3022 2063 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-72" d="M 2631 2963 +Q 2534 3019 2420 3045 +Q 2306 3072 2169 3072 +Q 1681 3072 1420 2755 +Q 1159 2438 1159 1844 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1341 3275 1631 3429 +Q 1922 3584 2338 3584 +Q 2397 3584 2469 3576 +Q 2541 3569 2628 3553 +L 2631 2963 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-44" d="M 1259 4147 +L 1259 519 +L 2022 519 +Q 2988 519 3436 956 +Q 3884 1394 3884 2338 +Q 3884 3275 3436 3711 +Q 2988 4147 2022 4147 +L 1259 4147 +z +M 628 4666 +L 1925 4666 +Q 3281 4666 3915 4102 +Q 4550 3538 4550 2338 +Q 4550 1131 3912 565 +Q 3275 0 1925 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-73" d="M 2834 3397 +L 2834 2853 +Q 2591 2978 2328 3040 +Q 2066 3103 1784 3103 +Q 1356 3103 1142 2972 +Q 928 2841 928 2578 +Q 928 2378 1081 2264 +Q 1234 2150 1697 2047 +L 1894 2003 +Q 2506 1872 2764 1633 +Q 3022 1394 3022 966 +Q 3022 478 2636 193 +Q 2250 -91 1575 -91 +Q 1294 -91 989 -36 +Q 684 19 347 128 +L 347 722 +Q 666 556 975 473 +Q 1284 391 1588 391 +Q 1994 391 2212 530 +Q 2431 669 2431 922 +Q 2431 1156 2273 1281 +Q 2116 1406 1581 1522 +L 1381 1569 +Q 847 1681 609 1914 +Q 372 2147 372 2553 +Q 372 3047 722 3315 +Q 1072 3584 1716 3584 +Q 2034 3584 2315 3537 +Q 2597 3491 2834 3397 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-63" d="M 3122 3366 +L 3122 2828 +Q 2878 2963 2633 3030 +Q 2388 3097 2138 3097 +Q 1578 3097 1268 2742 +Q 959 2388 959 1747 +Q 959 1106 1268 751 +Q 1578 397 2138 397 +Q 2388 397 2633 464 +Q 2878 531 3122 666 +L 3122 134 +Q 2881 22 2623 -34 +Q 2366 -91 2075 -91 +Q 1284 -91 818 406 +Q 353 903 353 1747 +Q 353 2603 823 3093 +Q 1294 3584 2113 3584 +Q 2378 3584 2631 3529 +Q 2884 3475 3122 3366 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-68" d="M 3513 2113 +L 3513 0 +L 2938 0 +L 2938 2094 +Q 2938 2591 2744 2837 +Q 2550 3084 2163 3084 +Q 1697 3084 1428 2787 +Q 1159 2491 1159 1978 +L 1159 0 +L 581 0 +L 581 4863 +L 1159 4863 +L 1159 2956 +Q 1366 3272 1645 3428 +Q 1925 3584 2291 3584 +Q 2894 3584 3203 3211 +Q 3513 2838 3513 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-61" d="M 2194 1759 +Q 1497 1759 1228 1600 +Q 959 1441 959 1056 +Q 959 750 1161 570 +Q 1363 391 1709 391 +Q 2188 391 2477 730 +Q 2766 1069 2766 1631 +L 2766 1759 +L 2194 1759 +z +M 3341 1997 +L 3341 0 +L 2766 0 +L 2766 531 +Q 2569 213 2275 61 +Q 1981 -91 1556 -91 +Q 1019 -91 701 211 +Q 384 513 384 1019 +Q 384 1609 779 1909 +Q 1175 2209 1959 2209 +L 2766 2209 +L 2766 2266 +Q 2766 2663 2505 2880 +Q 2244 3097 1772 3097 +Q 1472 3097 1187 3025 +Q 903 2953 641 2809 +L 641 3341 +Q 956 3463 1253 3523 +Q 1550 3584 1831 3584 +Q 2591 3584 2966 3190 +Q 3341 2797 3341 1997 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-67" d="M 2906 1791 +Q 2906 2416 2648 2759 +Q 2391 3103 1925 3103 +Q 1463 3103 1205 2759 +Q 947 2416 947 1791 +Q 947 1169 1205 825 +Q 1463 481 1925 481 +Q 2391 481 2648 825 +Q 2906 1169 2906 1791 +z +M 3481 434 +Q 3481 -459 3084 -895 +Q 2688 -1331 1869 -1331 +Q 1566 -1331 1297 -1286 +Q 1028 -1241 775 -1147 +L 775 -588 +Q 1028 -725 1275 -790 +Q 1522 -856 1778 -856 +Q 2344 -856 2625 -561 +Q 2906 -266 2906 331 +L 2906 616 +Q 2728 306 2450 153 +Q 2172 0 1784 0 +Q 1141 0 747 490 +Q 353 981 353 1791 +Q 353 2603 747 3093 +Q 1141 3584 1784 3584 +Q 2172 3584 2450 3431 +Q 2728 3278 2906 2969 +L 2906 3500 +L 3481 3500 +L 3481 434 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2c" d="M 750 794 +L 1409 794 +L 1409 256 +L 897 -744 +L 494 -744 +L 750 256 +L 750 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-71" d="M 2669 525 +Q 2438 222 2123 65 +Q 1809 -91 1428 -91 +Q 897 -91 595 267 +Q 294 625 294 1253 +Q 294 1759 480 2231 +Q 666 2703 1013 3078 +Q 1238 3322 1530 3453 +Q 1822 3584 2144 3584 +Q 2531 3584 2781 3431 +Q 3031 3278 3144 2969 +L 3244 3494 +L 3822 3494 +L 2888 -1319 +L 2309 -1319 +L 2669 525 +z +M 891 1338 +Q 891 875 1084 633 +Q 1278 391 1644 391 +Q 2188 391 2572 911 +Q 2956 1431 2956 2175 +Q 2956 2625 2757 2864 +Q 2559 3103 2188 3103 +Q 1916 3103 1684 2976 +Q 1453 2850 1281 2606 +Q 1100 2350 995 2006 +Q 891 1663 891 1338 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5b" d="M 550 4863 +L 1875 4863 +L 1875 4416 +L 1125 4416 +L 1125 -397 +L 1875 -397 +L 1875 -844 +L 550 -844 +L 550 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6d" d="M 3328 2828 +Q 3544 3216 3844 3400 +Q 4144 3584 4550 3584 +Q 5097 3584 5394 3201 +Q 5691 2819 5691 2113 +L 5691 0 +L 5113 0 +L 5113 2094 +Q 5113 2597 4934 2840 +Q 4756 3084 4391 3084 +Q 3944 3084 3684 2787 +Q 3425 2491 3425 1978 +L 3425 0 +L 2847 0 +L 2847 2094 +Q 2847 2600 2669 2842 +Q 2491 3084 2119 3084 +Q 1678 3084 1418 2786 +Q 1159 2488 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1356 3278 1631 3431 +Q 1906 3584 2284 3584 +Q 2666 3584 2933 3390 +Q 3200 3197 3328 2828 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2f" d="M 1625 4666 +L 2156 4666 +L 531 -594 +L 0 -594 +L 1625 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5d" d="M 1947 4863 +L 1947 -844 +L 622 -844 +L 622 -397 +L 1369 -397 +L 1369 4416 +L 622 4416 +L 622 4863 +L 1947 4863 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-52" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(69.482422 0.765625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(97.265625 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(156.445312 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(217.96875 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(259.082031 0.765625)"/> + <use xlink:href="#DejaVuSans-44" transform="translate(290.869141 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(367.871094 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(395.654297 0.765625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(447.753906 0.765625)"/> + <use xlink:href="#DejaVuSans-68" transform="translate(502.734375 0.765625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(566.113281 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(627.392578 0.765625)"/> + <use xlink:href="#DejaVuSans-67" transform="translate(668.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(731.982422 0.765625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(793.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(825.292969 0.765625)"/> + <use xlink:href="#DejaVuSans-Oblique-71" transform="translate(857.080078 0.765625)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(920.556641 -15.640625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(967.827148 0.765625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(999.614258 0.765625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(1038.62793 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(1136.99707 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-2f" transform="translate(1184.267578 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1217.958984 0.765625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(1270.058594 0.765625)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_9"> + <defs> + <path id="m4394c7090d" d="M 0 0 +L -3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m4394c7090d" x="48.4875" y="270.6912" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_10"> + <!-- 60 --> + <g transform="translate(28.7625 274.490419)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_10"> + <g> + <use xlink:href="#m4394c7090d" x="48.4875" y="235.2096" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_11"> + <!-- 80 --> + <g transform="translate(28.7625 239.008819)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_11"> + <g> + <use xlink:href="#m4394c7090d" x="48.4875" y="199.728" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_12"> + <!-- 100 --> + <g transform="translate(22.4 203.527219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_12"> + <g> + <use xlink:href="#m4394c7090d" x="48.4875" y="164.2464" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_13"> + <!-- 120 --> + <g transform="translate(22.4 168.045619)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-32" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_13"> + <g> + <use xlink:href="#m4394c7090d" x="48.4875" y="128.7648" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_14"> + <!-- 140 --> + <g transform="translate(22.4 132.564019)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-34" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_14"> + <g> + <use xlink:href="#m4394c7090d" x="48.4875" y="93.2832" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_15"> + <!-- 160 --> + <g transform="translate(22.4 97.082419)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-36" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_15"> + <g> + <use xlink:href="#m4394c7090d" x="48.4875" y="57.8016" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_16"> + <!-- 180 --> + <g transform="translate(22.4 61.600819)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-38" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_16"> + <g> + <use xlink:href="#m4394c7090d" x="48.4875" y="22.32" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_17"> + <!-- 200 --> + <g transform="translate(22.4 26.119219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_18"> + <!-- River Discharge, $q_2$ [m$^3$/s] --> + <g transform="translate(16.3 220.876)rotate(-90)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-52" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(69.482422 0.765625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(97.265625 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(156.445312 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(217.96875 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(259.082031 0.765625)"/> + <use xlink:href="#DejaVuSans-44" transform="translate(290.869141 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(367.871094 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(395.654297 0.765625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(447.753906 0.765625)"/> + <use xlink:href="#DejaVuSans-68" transform="translate(502.734375 0.765625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(566.113281 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(627.392578 0.765625)"/> + <use xlink:href="#DejaVuSans-67" transform="translate(668.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(731.982422 0.765625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(793.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(825.292969 0.765625)"/> + <use xlink:href="#DejaVuSans-Oblique-71" transform="translate(857.080078 0.765625)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(920.556641 -15.640625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(967.827148 0.765625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(999.614258 0.765625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(1038.62793 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(1136.99707 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-2f" transform="translate(1184.267578 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1217.958984 0.765625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(1270.058594 0.765625)"/> + </g> + </g> + </g> + <g id="LineCollection_1"> + <path d="M 184.00695 288.432 +L 184.00695 152.91255 +" clip-path="url(#p4bfd716827)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_2"> + <path d="M 48.4875 152.91255 +L 184.00695 152.91255 +" clip-path="url(#p4bfd716827)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_3"> + <path d="M 184.00695 288.432 +L 184.00695 152.91255 +" clip-path="url(#p4bfd716827)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_4"> + <path d="M 48.4875 152.91255 +L 184.00695 152.91255 +" clip-path="url(#p4bfd716827)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="patch_4"> + <path d="M 48.4875 288.432 +L 48.4875 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 314.5995 288.432 +L 314.5995 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 48.4875 288.432 +L 314.5995 288.432 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_7"> + <path d="M 48.4875 22.32 +L 314.5995 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="text_19"> + <!-- $p_{AND}$ (P=0.0100) --> + <g transform="translate(132.0435 16.32)scale(0.12 -0.12)"> + <defs> + <path id="DejaVuSans-Oblique-70" d="M 3175 2156 +Q 3175 2616 2975 2859 +Q 2775 3103 2400 3103 +Q 2144 3103 1911 2972 +Q 1678 2841 1497 2591 +Q 1319 2344 1212 1994 +Q 1106 1644 1106 1300 +Q 1106 863 1306 627 +Q 1506 391 1875 391 +Q 2147 391 2380 519 +Q 2613 647 2778 891 +Q 2956 1147 3065 1494 +Q 3175 1841 3175 2156 +z +M 1394 2969 +Q 1625 3272 1939 3428 +Q 2253 3584 2638 3584 +Q 3175 3584 3472 3232 +Q 3769 2881 3769 2247 +Q 3769 1728 3584 1258 +Q 3400 788 3053 416 +Q 2822 169 2531 39 +Q 2241 -91 1919 -91 +Q 1547 -91 1294 64 +Q 1041 219 916 525 +L 556 -1331 +L -19 -1331 +L 922 3500 +L 1497 3500 +L 1394 2969 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-41" d="M 2356 4666 +L 3072 4666 +L 3938 0 +L 3278 0 +L 3084 1197 +L 984 1197 +L 325 0 +L -341 0 +L 2356 4666 +z +M 2584 4044 +L 1275 1722 +L 2988 1722 +L 2584 4044 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-44" d="M 1081 4666 +L 2438 4666 +Q 3519 4666 4070 4208 +Q 4622 3750 4622 2847 +Q 4622 2250 4412 1698 +Q 4203 1147 3834 769 +Q 3463 381 2891 190 +Q 2319 0 1538 0 +L 172 0 +L 1081 4666 +z +M 1613 4147 +L 909 519 +L 1734 519 +Q 2794 519 3375 1128 +Q 3956 1738 3956 2847 +Q 3956 3519 3581 3833 +Q 3206 4147 2406 4147 +L 1613 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-50" d="M 1259 4147 +L 1259 2394 +L 2053 2394 +Q 2494 2394 2734 2622 +Q 2975 2850 2975 3272 +Q 2975 3691 2734 3919 +Q 2494 4147 2053 4147 +L 1259 4147 +z +M 628 4666 +L 2053 4666 +Q 2838 4666 3239 4311 +Q 3641 3956 3641 3272 +Q 3641 2581 3239 2228 +Q 2838 1875 2053 1875 +L 1259 1875 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-3d" d="M 678 2906 +L 4684 2906 +L 4684 2381 +L 678 2381 +L 678 2906 +z +M 678 1631 +L 4684 1631 +L 4684 1100 +L 678 1100 +L 678 1631 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-Oblique-70" transform="translate(0 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-41" transform="translate(63.476562 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(111.362305 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-Oblique-44" transform="translate(163.725586 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(220.361328 0.125)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(252.148438 0.125)"/> + <use xlink:href="#DejaVuSans-50" transform="translate(291.162109 0.125)"/> + <use xlink:href="#DejaVuSans-3d" transform="translate(351.464844 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(435.253906 0.125)"/> + <use xlink:href="#DejaVuSans-2e" transform="translate(498.876953 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(530.664062 0.125)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(594.287109 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(657.910156 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(721.533203 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(785.15625 0.125)"/> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="p4bfd716827"> + <rect x="48.4875" y="22.32" width="266.112" height="266.112"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/design_2_rv_error_2b.svg b/book/figures/design_2_rv_error_2b.svg new file mode 100644 index 0000000..9c55c4a --- /dev/null +++ b/book/figures/design_2_rv_error_2b.svg @@ -0,0 +1,1175 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="331.34325pt" height="327.510125pt" viewBox="0 0 331.34325 327.510125" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-01-08T11:58:14.607877</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 327.510125 +L 331.34325 327.510125 +L 331.34325 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 48.4875 288.432 +L 314.5995 288.432 +L 314.5995 22.32 +L 48.4875 22.32 +z +" style="fill: #ffffff"/> + </g> + <g id="PolyCollection_1"> + <defs> + <path id="mdd044539b6" d="M 184.00695 -305.190125 +L 184.00695 -174.597575 +L 314.5995 -174.597575 +L 314.5995 -305.190125 +L 314.5995 -305.190125 +L 184.00695 -305.190125 +z +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g clip-path="url(#p7779cddd80)"> + <use xlink:href="#mdd044539b6" x="0" y="327.510125" style="fill: #d3d3d3; stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="patch_3"> + <path clip-path="url(#p7779cddd80)" style="fill: none; stroke: #000000; stroke-width: 4; stroke-linejoin: miter"/> + </g> + <g id="PolyCollection_2"> + <defs> + <path id="m87ee3e4621" d="M 165.298357 -305.190125 +L 165.298357 -191.324799 +L 314.5995 -191.324799 +L 314.5995 -305.190125 +L 314.5995 -305.190125 +L 165.298357 -305.190125 +z +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g clip-path="url(#p7779cddd80)"> + <use xlink:href="#m87ee3e4621" x="0" y="327.510125" style="fill: #808080; stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="patch_4"> + <path clip-path="url(#p7779cddd80)" style="fill: none; stroke: #000000; stroke-width: 4; stroke-linejoin: miter"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="m8f61d21ec7" d="M 0 0 +L 0 3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m8f61d21ec7" x="66.2283" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_1"> + <!-- 60 --> + <g transform="translate(59.8658 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#m8f61d21ec7" x="101.7099" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_2"> + <!-- 80 --> + <g transform="translate(95.3474 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#m8f61d21ec7" x="137.1915" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_3"> + <!-- 100 --> + <g transform="translate(127.64775 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#m8f61d21ec7" x="172.6731" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_4"> + <!-- 120 --> + <g transform="translate(163.12935 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-32" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <g> + <use xlink:href="#m8f61d21ec7" x="208.1547" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_5"> + <!-- 140 --> + <g transform="translate(198.61095 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-34" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#m8f61d21ec7" x="243.6363" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_6"> + <!-- 160 --> + <g transform="translate(234.09255 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-36" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_7"> + <g> + <use xlink:href="#m8f61d21ec7" x="279.1179" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_7"> + <!-- 180 --> + <g transform="translate(269.57415 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-38" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_8"> + <g> + <use xlink:href="#m8f61d21ec7" x="314.5995" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_8"> + <!-- 200 --> + <g transform="translate(305.05575 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_9"> + <!-- River Discharge, $q_1$ [m$^3$/s] --> + <g transform="translate(116.0435 318.210125)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-52" d="M 2841 2188 +Q 3044 2119 3236 1894 +Q 3428 1669 3622 1275 +L 4263 0 +L 3584 0 +L 2988 1197 +Q 2756 1666 2539 1819 +Q 2322 1972 1947 1972 +L 1259 1972 +L 1259 0 +L 628 0 +L 628 4666 +L 2053 4666 +Q 2853 4666 3247 4331 +Q 3641 3997 3641 3322 +Q 3641 2881 3436 2590 +Q 3231 2300 2841 2188 +z +M 1259 4147 +L 1259 2491 +L 2053 2491 +Q 2509 2491 2742 2702 +Q 2975 2913 2975 3322 +Q 2975 3731 2742 3939 +Q 2509 4147 2053 4147 +L 1259 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-69" d="M 603 3500 +L 1178 3500 +L 1178 0 +L 603 0 +L 603 3500 +z +M 603 4863 +L 1178 4863 +L 1178 4134 +L 603 4134 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-76" d="M 191 3500 +L 800 3500 +L 1894 563 +L 2988 3500 +L 3597 3500 +L 2284 0 +L 1503 0 +L 191 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-65" d="M 3597 1894 +L 3597 1613 +L 953 1613 +Q 991 1019 1311 708 +Q 1631 397 2203 397 +Q 2534 397 2845 478 +Q 3156 559 3463 722 +L 3463 178 +Q 3153 47 2828 -22 +Q 2503 -91 2169 -91 +Q 1331 -91 842 396 +Q 353 884 353 1716 +Q 353 2575 817 3079 +Q 1281 3584 2069 3584 +Q 2775 3584 3186 3129 +Q 3597 2675 3597 1894 +z +M 3022 2063 +Q 3016 2534 2758 2815 +Q 2500 3097 2075 3097 +Q 1594 3097 1305 2825 +Q 1016 2553 972 2059 +L 3022 2063 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-72" d="M 2631 2963 +Q 2534 3019 2420 3045 +Q 2306 3072 2169 3072 +Q 1681 3072 1420 2755 +Q 1159 2438 1159 1844 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1341 3275 1631 3429 +Q 1922 3584 2338 3584 +Q 2397 3584 2469 3576 +Q 2541 3569 2628 3553 +L 2631 2963 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-44" d="M 1259 4147 +L 1259 519 +L 2022 519 +Q 2988 519 3436 956 +Q 3884 1394 3884 2338 +Q 3884 3275 3436 3711 +Q 2988 4147 2022 4147 +L 1259 4147 +z +M 628 4666 +L 1925 4666 +Q 3281 4666 3915 4102 +Q 4550 3538 4550 2338 +Q 4550 1131 3912 565 +Q 3275 0 1925 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-73" d="M 2834 3397 +L 2834 2853 +Q 2591 2978 2328 3040 +Q 2066 3103 1784 3103 +Q 1356 3103 1142 2972 +Q 928 2841 928 2578 +Q 928 2378 1081 2264 +Q 1234 2150 1697 2047 +L 1894 2003 +Q 2506 1872 2764 1633 +Q 3022 1394 3022 966 +Q 3022 478 2636 193 +Q 2250 -91 1575 -91 +Q 1294 -91 989 -36 +Q 684 19 347 128 +L 347 722 +Q 666 556 975 473 +Q 1284 391 1588 391 +Q 1994 391 2212 530 +Q 2431 669 2431 922 +Q 2431 1156 2273 1281 +Q 2116 1406 1581 1522 +L 1381 1569 +Q 847 1681 609 1914 +Q 372 2147 372 2553 +Q 372 3047 722 3315 +Q 1072 3584 1716 3584 +Q 2034 3584 2315 3537 +Q 2597 3491 2834 3397 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-63" d="M 3122 3366 +L 3122 2828 +Q 2878 2963 2633 3030 +Q 2388 3097 2138 3097 +Q 1578 3097 1268 2742 +Q 959 2388 959 1747 +Q 959 1106 1268 751 +Q 1578 397 2138 397 +Q 2388 397 2633 464 +Q 2878 531 3122 666 +L 3122 134 +Q 2881 22 2623 -34 +Q 2366 -91 2075 -91 +Q 1284 -91 818 406 +Q 353 903 353 1747 +Q 353 2603 823 3093 +Q 1294 3584 2113 3584 +Q 2378 3584 2631 3529 +Q 2884 3475 3122 3366 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-68" d="M 3513 2113 +L 3513 0 +L 2938 0 +L 2938 2094 +Q 2938 2591 2744 2837 +Q 2550 3084 2163 3084 +Q 1697 3084 1428 2787 +Q 1159 2491 1159 1978 +L 1159 0 +L 581 0 +L 581 4863 +L 1159 4863 +L 1159 2956 +Q 1366 3272 1645 3428 +Q 1925 3584 2291 3584 +Q 2894 3584 3203 3211 +Q 3513 2838 3513 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-61" d="M 2194 1759 +Q 1497 1759 1228 1600 +Q 959 1441 959 1056 +Q 959 750 1161 570 +Q 1363 391 1709 391 +Q 2188 391 2477 730 +Q 2766 1069 2766 1631 +L 2766 1759 +L 2194 1759 +z +M 3341 1997 +L 3341 0 +L 2766 0 +L 2766 531 +Q 2569 213 2275 61 +Q 1981 -91 1556 -91 +Q 1019 -91 701 211 +Q 384 513 384 1019 +Q 384 1609 779 1909 +Q 1175 2209 1959 2209 +L 2766 2209 +L 2766 2266 +Q 2766 2663 2505 2880 +Q 2244 3097 1772 3097 +Q 1472 3097 1187 3025 +Q 903 2953 641 2809 +L 641 3341 +Q 956 3463 1253 3523 +Q 1550 3584 1831 3584 +Q 2591 3584 2966 3190 +Q 3341 2797 3341 1997 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-67" d="M 2906 1791 +Q 2906 2416 2648 2759 +Q 2391 3103 1925 3103 +Q 1463 3103 1205 2759 +Q 947 2416 947 1791 +Q 947 1169 1205 825 +Q 1463 481 1925 481 +Q 2391 481 2648 825 +Q 2906 1169 2906 1791 +z +M 3481 434 +Q 3481 -459 3084 -895 +Q 2688 -1331 1869 -1331 +Q 1566 -1331 1297 -1286 +Q 1028 -1241 775 -1147 +L 775 -588 +Q 1028 -725 1275 -790 +Q 1522 -856 1778 -856 +Q 2344 -856 2625 -561 +Q 2906 -266 2906 331 +L 2906 616 +Q 2728 306 2450 153 +Q 2172 0 1784 0 +Q 1141 0 747 490 +Q 353 981 353 1791 +Q 353 2603 747 3093 +Q 1141 3584 1784 3584 +Q 2172 3584 2450 3431 +Q 2728 3278 2906 2969 +L 2906 3500 +L 3481 3500 +L 3481 434 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2c" d="M 750 794 +L 1409 794 +L 1409 256 +L 897 -744 +L 494 -744 +L 750 256 +L 750 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-71" d="M 2669 525 +Q 2438 222 2123 65 +Q 1809 -91 1428 -91 +Q 897 -91 595 267 +Q 294 625 294 1253 +Q 294 1759 480 2231 +Q 666 2703 1013 3078 +Q 1238 3322 1530 3453 +Q 1822 3584 2144 3584 +Q 2531 3584 2781 3431 +Q 3031 3278 3144 2969 +L 3244 3494 +L 3822 3494 +L 2888 -1319 +L 2309 -1319 +L 2669 525 +z +M 891 1338 +Q 891 875 1084 633 +Q 1278 391 1644 391 +Q 2188 391 2572 911 +Q 2956 1431 2956 2175 +Q 2956 2625 2757 2864 +Q 2559 3103 2188 3103 +Q 1916 3103 1684 2976 +Q 1453 2850 1281 2606 +Q 1100 2350 995 2006 +Q 891 1663 891 1338 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5b" d="M 550 4863 +L 1875 4863 +L 1875 4416 +L 1125 4416 +L 1125 -397 +L 1875 -397 +L 1875 -844 +L 550 -844 +L 550 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6d" d="M 3328 2828 +Q 3544 3216 3844 3400 +Q 4144 3584 4550 3584 +Q 5097 3584 5394 3201 +Q 5691 2819 5691 2113 +L 5691 0 +L 5113 0 +L 5113 2094 +Q 5113 2597 4934 2840 +Q 4756 3084 4391 3084 +Q 3944 3084 3684 2787 +Q 3425 2491 3425 1978 +L 3425 0 +L 2847 0 +L 2847 2094 +Q 2847 2600 2669 2842 +Q 2491 3084 2119 3084 +Q 1678 3084 1418 2786 +Q 1159 2488 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1356 3278 1631 3431 +Q 1906 3584 2284 3584 +Q 2666 3584 2933 3390 +Q 3200 3197 3328 2828 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2f" d="M 1625 4666 +L 2156 4666 +L 531 -594 +L 0 -594 +L 1625 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5d" d="M 1947 4863 +L 1947 -844 +L 622 -844 +L 622 -397 +L 1369 -397 +L 1369 4416 +L 622 4416 +L 622 4863 +L 1947 4863 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-52" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(69.482422 0.765625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(97.265625 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(156.445312 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(217.96875 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(259.082031 0.765625)"/> + <use xlink:href="#DejaVuSans-44" transform="translate(290.869141 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(367.871094 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(395.654297 0.765625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(447.753906 0.765625)"/> + <use xlink:href="#DejaVuSans-68" transform="translate(502.734375 0.765625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(566.113281 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(627.392578 0.765625)"/> + <use xlink:href="#DejaVuSans-67" transform="translate(668.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(731.982422 0.765625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(793.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(825.292969 0.765625)"/> + <use xlink:href="#DejaVuSans-Oblique-71" transform="translate(857.080078 0.765625)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(920.556641 -15.640625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(967.827148 0.765625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(999.614258 0.765625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(1038.62793 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(1136.99707 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-2f" transform="translate(1184.267578 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1217.958984 0.765625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(1270.058594 0.765625)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_9"> + <defs> + <path id="mffcf92bed9" d="M 0 0 +L -3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#mffcf92bed9" x="48.4875" y="270.6912" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_10"> + <!-- 60 --> + <g transform="translate(28.7625 274.490419)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_10"> + <g> + <use xlink:href="#mffcf92bed9" x="48.4875" y="235.2096" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_11"> + <!-- 80 --> + <g transform="translate(28.7625 239.008819)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_11"> + <g> + <use xlink:href="#mffcf92bed9" x="48.4875" y="199.728" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_12"> + <!-- 100 --> + <g transform="translate(22.4 203.527219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_12"> + <g> + <use xlink:href="#mffcf92bed9" x="48.4875" y="164.2464" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_13"> + <!-- 120 --> + <g transform="translate(22.4 168.045619)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-32" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_13"> + <g> + <use xlink:href="#mffcf92bed9" x="48.4875" y="128.7648" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_14"> + <!-- 140 --> + <g transform="translate(22.4 132.564019)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-34" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_14"> + <g> + <use xlink:href="#mffcf92bed9" x="48.4875" y="93.2832" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_15"> + <!-- 160 --> + <g transform="translate(22.4 97.082419)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-36" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_15"> + <g> + <use xlink:href="#mffcf92bed9" x="48.4875" y="57.8016" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_16"> + <!-- 180 --> + <g transform="translate(22.4 61.600819)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-38" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_16"> + <g> + <use xlink:href="#mffcf92bed9" x="48.4875" y="22.32" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_17"> + <!-- 200 --> + <g transform="translate(22.4 26.119219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_18"> + <!-- River Discharge, $q_2$ [m$^3$/s] --> + <g transform="translate(16.3 220.876)rotate(-90)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-52" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(69.482422 0.765625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(97.265625 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(156.445312 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(217.96875 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(259.082031 0.765625)"/> + <use xlink:href="#DejaVuSans-44" transform="translate(290.869141 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(367.871094 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(395.654297 0.765625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(447.753906 0.765625)"/> + <use xlink:href="#DejaVuSans-68" transform="translate(502.734375 0.765625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(566.113281 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(627.392578 0.765625)"/> + <use xlink:href="#DejaVuSans-67" transform="translate(668.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(731.982422 0.765625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(793.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(825.292969 0.765625)"/> + <use xlink:href="#DejaVuSans-Oblique-71" transform="translate(857.080078 0.765625)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(920.556641 -15.640625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(967.827148 0.765625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(999.614258 0.765625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(1038.62793 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(1136.99707 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-2f" transform="translate(1184.267578 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1217.958984 0.765625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(1270.058594 0.765625)"/> + </g> + </g> + </g> + <g id="LineCollection_1"> + <path d="M 184.00695 288.432 +L 184.00695 152.91255 +" clip-path="url(#p7779cddd80)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_2"> + <path d="M 48.4875 152.91255 +L 184.00695 152.91255 +" clip-path="url(#p7779cddd80)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_3"> + <path d="M 184.00695 288.432 +L 184.00695 152.91255 +" clip-path="url(#p7779cddd80)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_4"> + <path d="M 48.4875 152.91255 +L 184.00695 152.91255 +" clip-path="url(#p7779cddd80)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_5"> + <path d="M 165.298357 288.432 +L 165.298357 136.185326 +" clip-path="url(#p7779cddd80)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_6"> + <path d="M 48.4875 136.185326 +L 165.298357 136.185326 +" clip-path="url(#p7779cddd80)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_7"> + <path d="M 165.298357 288.432 +L 165.298357 136.185326 +" clip-path="url(#p7779cddd80)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_8"> + <path d="M 48.4875 136.185326 +L 165.298357 136.185326 +" clip-path="url(#p7779cddd80)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="patch_5"> + <path d="M 48.4875 288.432 +L 48.4875 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 314.5995 288.432 +L 314.5995 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_7"> + <path d="M 48.4875 288.432 +L 314.5995 288.432 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_8"> + <path d="M 48.4875 22.32 +L 314.5995 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="text_19"> + <!-- $p_{AND}$ (P=1.00e-02) --> + <g transform="translate(126.2235 16.32)scale(0.12 -0.12)"> + <defs> + <path id="DejaVuSans-Oblique-70" d="M 3175 2156 +Q 3175 2616 2975 2859 +Q 2775 3103 2400 3103 +Q 2144 3103 1911 2972 +Q 1678 2841 1497 2591 +Q 1319 2344 1212 1994 +Q 1106 1644 1106 1300 +Q 1106 863 1306 627 +Q 1506 391 1875 391 +Q 2147 391 2380 519 +Q 2613 647 2778 891 +Q 2956 1147 3065 1494 +Q 3175 1841 3175 2156 +z +M 1394 2969 +Q 1625 3272 1939 3428 +Q 2253 3584 2638 3584 +Q 3175 3584 3472 3232 +Q 3769 2881 3769 2247 +Q 3769 1728 3584 1258 +Q 3400 788 3053 416 +Q 2822 169 2531 39 +Q 2241 -91 1919 -91 +Q 1547 -91 1294 64 +Q 1041 219 916 525 +L 556 -1331 +L -19 -1331 +L 922 3500 +L 1497 3500 +L 1394 2969 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-41" d="M 2356 4666 +L 3072 4666 +L 3938 0 +L 3278 0 +L 3084 1197 +L 984 1197 +L 325 0 +L -341 0 +L 2356 4666 +z +M 2584 4044 +L 1275 1722 +L 2988 1722 +L 2584 4044 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-44" d="M 1081 4666 +L 2438 4666 +Q 3519 4666 4070 4208 +Q 4622 3750 4622 2847 +Q 4622 2250 4412 1698 +Q 4203 1147 3834 769 +Q 3463 381 2891 190 +Q 2319 0 1538 0 +L 172 0 +L 1081 4666 +z +M 1613 4147 +L 909 519 +L 1734 519 +Q 2794 519 3375 1128 +Q 3956 1738 3956 2847 +Q 3956 3519 3581 3833 +Q 3206 4147 2406 4147 +L 1613 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-50" d="M 1259 4147 +L 1259 2394 +L 2053 2394 +Q 2494 2394 2734 2622 +Q 2975 2850 2975 3272 +Q 2975 3691 2734 3919 +Q 2494 4147 2053 4147 +L 1259 4147 +z +M 628 4666 +L 2053 4666 +Q 2838 4666 3239 4311 +Q 3641 3956 3641 3272 +Q 3641 2581 3239 2228 +Q 2838 1875 2053 1875 +L 1259 1875 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-3d" d="M 678 2906 +L 4684 2906 +L 4684 2381 +L 678 2381 +L 678 2906 +z +M 678 1631 +L 4684 1631 +L 4684 1100 +L 678 1100 +L 678 1631 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2d" d="M 313 2009 +L 1997 2009 +L 1997 1497 +L 313 1497 +L 313 2009 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-Oblique-70" transform="translate(0 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-41" transform="translate(63.476562 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(111.362305 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-Oblique-44" transform="translate(163.725586 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(220.361328 0.125)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(252.148438 0.125)"/> + <use xlink:href="#DejaVuSans-50" transform="translate(291.162109 0.125)"/> + <use xlink:href="#DejaVuSans-3d" transform="translate(351.464844 0.125)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(435.253906 0.125)"/> + <use xlink:href="#DejaVuSans-2e" transform="translate(498.876953 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(530.664062 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(594.287109 0.125)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(657.910156 0.125)"/> + <use xlink:href="#DejaVuSans-2d" transform="translate(719.433594 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(755.517578 0.125)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(819.140625 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(882.763672 0.125)"/> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="p7779cddd80"> + <rect x="48.4875" y="22.32" width="266.112" height="266.112"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/design_2_rv_error_3.svg b/book/figures/design_2_rv_error_3.svg new file mode 100644 index 0000000..45a109c --- /dev/null +++ b/book/figures/design_2_rv_error_3.svg @@ -0,0 +1,727 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="329.821375pt" height="325.98825pt" viewBox="0 0 329.821375 325.98825" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-01-08T11:58:16.440884</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M -0 325.98825 +L 329.821375 325.98825 +L 329.821375 0 +L -0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 46.965625 288.432 +L 313.077625 288.432 +L 313.077625 22.32 +L 46.965625 22.32 +z +" style="fill: #ffffff"/> + </g> + <g id="PolyCollection_1"> + <defs> + <path id="m11572d5885" d="M 46.965625 -303.66825 +L 46.965625 -238.536878 +L 247.946253 -238.536878 +L 247.946253 -37.55625 +L 313.077625 -37.55625 +L 313.077625 -303.66825 +L 313.077625 -303.66825 +L 247.946253 -303.66825 +L 247.946253 -303.66825 +L 46.965625 -303.66825 +z +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g clip-path="url(#p0d7d643c55)"> + <use xlink:href="#m11572d5885" x="0" y="325.98825" style="fill: #d3d3d3; stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="patch_3"> + <path clip-path="url(#p0d7d643c55)" style="fill: none; stroke: #000000; stroke-width: 4; stroke-linejoin: miter"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="md90e7c4a51" d="M 0 0 +L 0 3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#md90e7c4a51" x="64.706425" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_1"> + <!-- 60 --> + <g transform="translate(58.343925 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#md90e7c4a51" x="100.188025" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_2"> + <!-- 80 --> + <g transform="translate(93.825525 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#md90e7c4a51" x="135.669625" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_3"> + <!-- 100 --> + <g transform="translate(126.125875 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#md90e7c4a51" x="171.151225" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_4"> + <!-- 120 --> + <g transform="translate(161.607475 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-32" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <g> + <use xlink:href="#md90e7c4a51" x="206.632825" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_5"> + <!-- 140 --> + <g transform="translate(197.089075 303.030437)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-34" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#md90e7c4a51" x="242.114425" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_6"> + <!-- 160 --> + <g transform="translate(232.570675 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-36" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_7"> + <g> + <use xlink:href="#md90e7c4a51" x="277.596025" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_7"> + <!-- 180 --> + <g transform="translate(268.052275 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-38" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_8"> + <g> + <use xlink:href="#md90e7c4a51" x="313.077625" y="288.432" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_8"> + <!-- 200 --> + <g transform="translate(303.533875 303.030437)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_9"> + <!-- $X$ --> + <g transform="translate(176.571625 316.708562)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-Oblique-58" d="M 878 4666 +L 1516 4666 +L 2316 2981 +L 3763 4666 +L 4500 4666 +L 2578 2438 +L 3738 0 +L 3103 0 +L 2163 1966 +L 459 0 +L -275 0 +L 1906 2509 +L 878 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-Oblique-58" transform="translate(0 0.09375)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_9"> + <defs> + <path id="m919004953e" d="M 0 0 +L -3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m919004953e" x="46.965625" y="270.6912" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_10"> + <!-- 60 --> + <g transform="translate(27.240625 274.490419)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_10"> + <g> + <use xlink:href="#m919004953e" x="46.965625" y="235.2096" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_11"> + <!-- 80 --> + <g transform="translate(27.240625 239.008819)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_11"> + <g> + <use xlink:href="#m919004953e" x="46.965625" y="199.728" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_12"> + <!-- 100 --> + <g transform="translate(20.878125 203.527219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_12"> + <g> + <use xlink:href="#m919004953e" x="46.965625" y="164.2464" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_13"> + <!-- 120 --> + <g transform="translate(20.878125 168.045619)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-32" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_13"> + <g> + <use xlink:href="#m919004953e" x="46.965625" y="128.7648" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_14"> + <!-- 140 --> + <g transform="translate(20.878125 132.564019)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-34" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_14"> + <g> + <use xlink:href="#m919004953e" x="46.965625" y="93.2832" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_15"> + <!-- 160 --> + <g transform="translate(20.878125 97.082419)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-36" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_15"> + <g> + <use xlink:href="#m919004953e" x="46.965625" y="57.8016" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_16"> + <!-- 180 --> + <g transform="translate(20.878125 61.600819)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-38" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_16"> + <g> + <use xlink:href="#m919004953e" x="46.965625" y="22.32" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_17"> + <!-- 200 --> + <g transform="translate(20.878125 26.119219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_18"> + <!-- $Y$ --> + <g transform="translate(14.798437 158.476)rotate(-90)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-Oblique-59" d="M 403 4666 +L 1081 4666 +L 1953 2747 +L 3616 4666 +L 4325 4666 +L 2209 2222 +L 1778 0 +L 1147 0 +L 1575 2222 +L 403 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-Oblique-59" transform="translate(0 0.09375)"/> + </g> + </g> + </g> + <g id="LineCollection_1"> + <path d="M 247.946253 87.451372 +L 247.946253 22.32 +" clip-path="url(#p0d7d643c55)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="LineCollection_2"> + <path d="M 247.946253 87.451372 +L 313.077625 87.451372 +" clip-path="url(#p0d7d643c55)" style="fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5"/> + </g> + <g id="patch_4"> + <path d="M 46.965625 288.432 +L 46.965625 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 313.077625 288.432 +L 313.077625 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 46.965625 288.432 +L 313.077625 288.432 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_7"> + <path d="M 46.965625 22.32 +L 313.077625 22.32 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="text_19"> + <!-- $p_{OR}$ (P=0.0100) --> + <g transform="translate(133.581625 16.32)scale(0.12 -0.12)"> + <defs> + <path id="DejaVuSans-Oblique-70" d="M 3175 2156 +Q 3175 2616 2975 2859 +Q 2775 3103 2400 3103 +Q 2144 3103 1911 2972 +Q 1678 2841 1497 2591 +Q 1319 2344 1212 1994 +Q 1106 1644 1106 1300 +Q 1106 863 1306 627 +Q 1506 391 1875 391 +Q 2147 391 2380 519 +Q 2613 647 2778 891 +Q 2956 1147 3065 1494 +Q 3175 1841 3175 2156 +z +M 1394 2969 +Q 1625 3272 1939 3428 +Q 2253 3584 2638 3584 +Q 3175 3584 3472 3232 +Q 3769 2881 3769 2247 +Q 3769 1728 3584 1258 +Q 3400 788 3053 416 +Q 2822 169 2531 39 +Q 2241 -91 1919 -91 +Q 1547 -91 1294 64 +Q 1041 219 916 525 +L 556 -1331 +L -19 -1331 +L 922 3500 +L 1497 3500 +L 1394 2969 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4f" d="M 2919 4238 +Q 2400 4238 2003 3986 +Q 1606 3734 1313 3219 +Q 1125 2891 1026 2522 +Q 928 2153 928 1778 +Q 928 1128 1239 775 +Q 1550 422 2119 422 +Q 2631 422 3032 676 +Q 3434 931 3719 1434 +Q 3909 1772 4009 2142 +Q 4109 2513 4109 2881 +Q 4109 3528 3796 3883 +Q 3484 4238 2919 4238 +z +M 2100 -91 +Q 1241 -91 748 418 +Q 256 928 256 1813 +Q 256 2319 448 2847 +Q 641 3375 978 3788 +Q 1375 4272 1862 4511 +Q 2350 4750 2938 4750 +Q 3794 4750 4287 4245 +Q 4781 3741 4781 2869 +Q 4781 2331 4593 1812 +Q 4406 1294 4056 872 +Q 3656 384 3173 146 +Q 2691 -91 2100 -91 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-52" d="M 1613 4147 +L 1294 2491 +L 2106 2491 +Q 2584 2491 2879 2755 +Q 3175 3019 3175 3444 +Q 3175 3784 2976 3965 +Q 2778 4147 2406 4147 +L 1613 4147 +z +M 2772 2241 +Q 2972 2194 3105 2009 +Q 3238 1825 3413 1275 +L 3809 0 +L 3144 0 +L 2778 1197 +Q 2638 1659 2453 1815 +Q 2269 1972 1888 1972 +L 1191 1972 +L 806 0 +L 172 0 +L 1081 4666 +L 2503 4666 +Q 3150 4666 3495 4373 +Q 3841 4081 3841 3531 +Q 3841 3044 3547 2687 +Q 3253 2331 2772 2241 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-50" d="M 1259 4147 +L 1259 2394 +L 2053 2394 +Q 2494 2394 2734 2622 +Q 2975 2850 2975 3272 +Q 2975 3691 2734 3919 +Q 2494 4147 2053 4147 +L 1259 4147 +z +M 628 4666 +L 2053 4666 +Q 2838 4666 3239 4311 +Q 3641 3956 3641 3272 +Q 3641 2581 3239 2228 +Q 2838 1875 2053 1875 +L 1259 1875 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-3d" d="M 678 2906 +L 4684 2906 +L 4684 2381 +L 678 2381 +L 678 2906 +z +M 678 1631 +L 4684 1631 +L 4684 1100 +L 678 1100 +L 678 1631 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-Oblique-70" transform="translate(0 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-4f" transform="translate(63.476562 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-Oblique-52" transform="translate(118.574219 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(169.946289 0.125)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(201.733398 0.125)"/> + <use xlink:href="#DejaVuSans-50" transform="translate(240.74707 0.125)"/> + <use xlink:href="#DejaVuSans-3d" transform="translate(301.049805 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(384.838867 0.125)"/> + <use xlink:href="#DejaVuSans-2e" transform="translate(448.461914 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(480.249023 0.125)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(543.87207 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(607.495117 0.125)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(671.118164 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(734.741211 0.125)"/> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="p0d7d643c55"> + <rect x="46.965625" y="22.32" width="266.112" height="266.112"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/dike_heightening_schematic.png b/book/figures/dike_heightening_schematic.png new file mode 100644 index 0000000..a7069e9 Binary files /dev/null and b/book/figures/dike_heightening_schematic.png differ diff --git a/book/figures/dike_rings.jpg b/book/figures/dike_rings.jpg new file mode 100644 index 0000000..235c24a Binary files /dev/null and b/book/figures/dike_rings.jpg differ diff --git a/book/figures/economic_opt.svg b/book/figures/economic_opt.svg new file mode 100644 index 0000000..111c920 --- /dev/null +++ b/book/figures/economic_opt.svg @@ -0,0 +1,958 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2024-02-18T08:16:31.711167</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.8.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="text_1"> + <!-- Safety, $-\ln p_f$ [$-$] --> + <g transform="translate(232.08 400.64) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-53" d="M 288 1472 +L 859 1522 +Q 900 1178 1048 958 +Q 1197 738 1509 602 +Q 1822 466 2213 466 +Q 2559 466 2825 569 +Q 3091 672 3220 851 +Q 3350 1031 3350 1244 +Q 3350 1459 3225 1620 +Q 3100 1781 2813 1891 +Q 2628 1963 1997 2114 +Q 1366 2266 1113 2400 +Q 784 2572 623 2826 +Q 463 3081 463 3397 +Q 463 3744 659 4045 +Q 856 4347 1234 4503 +Q 1613 4659 2075 4659 +Q 2584 4659 2973 4495 +Q 3363 4331 3572 4012 +Q 3781 3694 3797 3291 +L 3216 3247 +Q 3169 3681 2898 3903 +Q 2628 4125 2100 4125 +Q 1550 4125 1298 3923 +Q 1047 3722 1047 3438 +Q 1047 3191 1225 3031 +Q 1400 2872 2139 2705 +Q 2878 2538 3153 2413 +Q 3553 2228 3743 1945 +Q 3934 1663 3934 1294 +Q 3934 928 3725 604 +Q 3516 281 3123 101 +Q 2731 -78 2241 -78 +Q 1619 -78 1198 103 +Q 778 284 539 648 +Q 300 1013 288 1472 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-61" d="M 2588 409 +Q 2275 144 1986 34 +Q 1697 -75 1366 -75 +Q 819 -75 525 192 +Q 231 459 231 875 +Q 231 1119 342 1320 +Q 453 1522 633 1644 +Q 813 1766 1038 1828 +Q 1203 1872 1538 1913 +Q 2219 1994 2541 2106 +Q 2544 2222 2544 2253 +Q 2544 2597 2384 2738 +Q 2169 2928 1744 2928 +Q 1347 2928 1158 2789 +Q 969 2650 878 2297 +L 328 2372 +Q 403 2725 575 2942 +Q 747 3159 1072 3276 +Q 1397 3394 1825 3394 +Q 2250 3394 2515 3294 +Q 2781 3194 2906 3042 +Q 3031 2891 3081 2659 +Q 3109 2516 3109 2141 +L 3109 1391 +Q 3109 606 3145 398 +Q 3181 191 3288 0 +L 2700 0 +Q 2613 175 2588 409 +z +M 2541 1666 +Q 2234 1541 1622 1453 +Q 1275 1403 1131 1340 +Q 988 1278 909 1158 +Q 831 1038 831 891 +Q 831 666 1001 516 +Q 1172 366 1500 366 +Q 1825 366 2078 508 +Q 2331 650 2450 897 +Q 2541 1088 2541 1459 +L 2541 1666 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-66" d="M 556 0 +L 556 2881 +L 59 2881 +L 59 3319 +L 556 3319 +L 556 3672 +Q 556 4006 616 4169 +Q 697 4388 901 4523 +Q 1106 4659 1475 4659 +Q 1713 4659 2000 4603 +L 1916 4113 +Q 1741 4144 1584 4144 +Q 1328 4144 1222 4034 +Q 1116 3925 1116 3625 +L 1116 3319 +L 1763 3319 +L 1763 2881 +L 1116 2881 +L 1116 0 +L 556 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-65" d="M 2694 1069 +L 3275 997 +Q 3138 488 2766 206 +Q 2394 -75 1816 -75 +Q 1088 -75 661 373 +Q 234 822 234 1631 +Q 234 2469 665 2931 +Q 1097 3394 1784 3394 +Q 2450 3394 2872 2941 +Q 3294 2488 3294 1666 +Q 3294 1616 3291 1516 +L 816 1516 +Q 847 969 1125 678 +Q 1403 388 1819 388 +Q 2128 388 2347 550 +Q 2566 713 2694 1069 +z +M 847 1978 +L 2700 1978 +Q 2663 2397 2488 2606 +Q 2219 2931 1791 2931 +Q 1403 2931 1139 2672 +Q 875 2413 847 1978 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-74" d="M 1650 503 +L 1731 6 +Q 1494 -44 1306 -44 +Q 1000 -44 831 53 +Q 663 150 594 308 +Q 525 466 525 972 +L 525 2881 +L 113 2881 +L 113 3319 +L 525 3319 +L 525 4141 +L 1084 4478 +L 1084 3319 +L 1650 3319 +L 1650 2881 +L 1084 2881 +L 1084 941 +Q 1084 700 1114 631 +Q 1144 563 1211 522 +Q 1278 481 1403 481 +Q 1497 481 1650 503 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-79" d="M 397 -1278 +L 334 -750 +Q 519 -800 656 -800 +Q 844 -800 956 -737 +Q 1069 -675 1141 -563 +Q 1194 -478 1313 -144 +Q 1328 -97 1363 -6 +L 103 3319 +L 709 3319 +L 1400 1397 +Q 1534 1031 1641 628 +Q 1738 1016 1872 1384 +L 2581 3319 +L 3144 3319 +L 1881 -56 +Q 1678 -603 1566 -809 +Q 1416 -1088 1222 -1217 +Q 1028 -1347 759 -1347 +Q 597 -1347 397 -1278 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-2c" d="M 569 0 +L 569 641 +L 1209 641 +L 1209 0 +Q 1209 -353 1084 -570 +Q 959 -788 688 -906 +L 531 -666 +Q 709 -588 793 -436 +Q 878 -284 888 0 +L 569 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6c" d="M 603 4863 +L 1178 4863 +L 1178 0 +L 603 0 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6e" d="M 3513 2113 +L 3513 0 +L 2938 0 +L 2938 2094 +Q 2938 2591 2744 2837 +Q 2550 3084 2163 3084 +Q 1697 3084 1428 2787 +Q 1159 2491 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1366 3272 1645 3428 +Q 1925 3584 2291 3584 +Q 2894 3584 3203 3211 +Q 3513 2838 3513 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-70" d="M 3175 2156 +Q 3175 2616 2975 2859 +Q 2775 3103 2400 3103 +Q 2144 3103 1911 2972 +Q 1678 2841 1497 2591 +Q 1319 2344 1212 1994 +Q 1106 1644 1106 1300 +Q 1106 863 1306 627 +Q 1506 391 1875 391 +Q 2147 391 2380 519 +Q 2613 647 2778 891 +Q 2956 1147 3065 1494 +Q 3175 1841 3175 2156 +z +M 1394 2969 +Q 1625 3272 1939 3428 +Q 2253 3584 2638 3584 +Q 3175 3584 3472 3232 +Q 3769 2881 3769 2247 +Q 3769 1728 3584 1258 +Q 3400 788 3053 416 +Q 2822 169 2531 39 +Q 2241 -91 1919 -91 +Q 1547 -91 1294 64 +Q 1041 219 916 525 +L 556 -1331 +L -19 -1331 +L 922 3500 +L 1497 3500 +L 1394 2969 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-66" d="M 3059 4863 +L 2969 4384 +L 2419 4384 +Q 2106 4384 1964 4261 +Q 1822 4138 1753 3809 +L 1691 3500 +L 2638 3500 +L 2553 3053 +L 1606 3053 +L 1013 0 +L 434 0 +L 1031 3053 +L 481 3053 +L 563 3500 +L 1113 3500 +L 1159 3744 +Q 1278 4363 1576 4613 +Q 1875 4863 2516 4863 +L 3059 4863 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5b" d="M 434 -1272 +L 434 4581 +L 1675 4581 +L 1675 4116 +L 997 4116 +L 997 -806 +L 1675 -806 +L 1675 -1272 +L 434 -1272 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5d" d="M 1363 -1272 +L 122 -1272 +L 122 -806 +L 800 -806 +L 800 4116 +L 122 4116 +L 122 4581 +L 1363 4581 +L 1363 -1272 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-53" transform="translate(0 0.015625)"/> + <use xlink:href="#ArialMT-61" transform="translate(66.699219 0.015625)"/> + <use xlink:href="#ArialMT-66" transform="translate(122.314453 0.015625)"/> + <use xlink:href="#ArialMT-65" transform="translate(150.097656 0.015625)"/> + <use xlink:href="#ArialMT-74" transform="translate(205.712891 0.015625)"/> + <use xlink:href="#ArialMT-79" transform="translate(233.496094 0.015625)"/> + <use xlink:href="#ArialMT-2c" transform="translate(283.496094 0.015625)"/> + <use xlink:href="#ArialMT-20" transform="translate(311.279297 0.015625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(339.0625 0.015625)"/> + <use xlink:href="#DejaVuSans-6c" transform="translate(422.851562 0.015625)"/> + <use xlink:href="#DejaVuSans-6e" transform="translate(450.634766 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-70" transform="translate(530.249348 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-66" transform="translate(593.725911 -16.390625) scale(0.7)"/> + <use xlink:href="#ArialMT-20" transform="translate(621.10384 0.015625)"/> + <use xlink:href="#ArialMT-5b" transform="translate(648.887043 0.015625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(676.670247 0.015625)"/> + <use xlink:href="#ArialMT-5d" transform="translate(760.459309 0.015625)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="text_2"> + <!-- Present Value [€] --> + <g transform="translate(64.82 278.9375) rotate(-90) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-50" d="M 494 0 +L 494 4581 +L 2222 4581 +Q 2678 4581 2919 4538 +Q 3256 4481 3484 4323 +Q 3713 4166 3852 3881 +Q 3991 3597 3991 3256 +Q 3991 2672 3619 2267 +Q 3247 1863 2275 1863 +L 1100 1863 +L 1100 0 +L 494 0 +z +M 1100 2403 +L 2284 2403 +Q 2872 2403 3119 2622 +Q 3366 2841 3366 3238 +Q 3366 3525 3220 3729 +Q 3075 3934 2838 4000 +Q 2684 4041 2272 4041 +L 1100 4041 +L 1100 2403 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-72" d="M 416 0 +L 416 3319 +L 922 3319 +L 922 2816 +Q 1116 3169 1280 3281 +Q 1444 3394 1641 3394 +Q 1925 3394 2219 3213 +L 2025 2691 +Q 1819 2813 1613 2813 +Q 1428 2813 1281 2702 +Q 1134 2591 1072 2394 +Q 978 2094 978 1738 +L 978 0 +L 416 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-73" d="M 197 991 +L 753 1078 +Q 800 744 1014 566 +Q 1228 388 1613 388 +Q 2000 388 2187 545 +Q 2375 703 2375 916 +Q 2375 1106 2209 1216 +Q 2094 1291 1634 1406 +Q 1016 1563 777 1677 +Q 538 1791 414 1992 +Q 291 2194 291 2438 +Q 291 2659 392 2848 +Q 494 3038 669 3163 +Q 800 3259 1026 3326 +Q 1253 3394 1513 3394 +Q 1903 3394 2198 3281 +Q 2494 3169 2634 2976 +Q 2775 2784 2828 2463 +L 2278 2388 +Q 2241 2644 2061 2787 +Q 1881 2931 1553 2931 +Q 1166 2931 1000 2803 +Q 834 2675 834 2503 +Q 834 2394 903 2306 +Q 972 2216 1119 2156 +Q 1203 2125 1616 2013 +Q 2213 1853 2448 1751 +Q 2684 1650 2818 1456 +Q 2953 1263 2953 975 +Q 2953 694 2789 445 +Q 2625 197 2315 61 +Q 2006 -75 1616 -75 +Q 969 -75 630 194 +Q 291 463 197 991 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6e" d="M 422 0 +L 422 3319 +L 928 3319 +L 928 2847 +Q 1294 3394 1984 3394 +Q 2284 3394 2536 3286 +Q 2788 3178 2913 3003 +Q 3038 2828 3088 2588 +Q 3119 2431 3119 2041 +L 3119 0 +L 2556 0 +L 2556 2019 +Q 2556 2363 2490 2533 +Q 2425 2703 2258 2804 +Q 2091 2906 1866 2906 +Q 1506 2906 1245 2678 +Q 984 2450 984 1813 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-56" d="M 1803 0 +L 28 4581 +L 684 4581 +L 1875 1253 +Q 2019 853 2116 503 +Q 2222 878 2363 1253 +L 3600 4581 +L 4219 4581 +L 2425 0 +L 1803 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6c" d="M 409 0 +L 409 4581 +L 972 4581 +L 972 0 +L 409 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-75" d="M 2597 0 +L 2597 488 +Q 2209 -75 1544 -75 +Q 1250 -75 995 37 +Q 741 150 617 320 +Q 494 491 444 738 +Q 409 903 409 1263 +L 409 3319 +L 972 3319 +L 972 1478 +Q 972 1038 1006 884 +Q 1059 663 1231 536 +Q 1403 409 1656 409 +Q 1909 409 2131 539 +Q 2353 669 2445 892 +Q 2538 1116 2538 1541 +L 2538 3319 +L 3100 3319 +L 3100 0 +L 2597 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-20ac" d="M 2469 4141 +Q 1944 4141 1588 3888 +Q 1375 3738 1203 3463 +Q 1028 3178 997 2922 +L 3128 2922 +L 3044 2503 +L 947 2503 +Q 944 2438 944 2378 +Q 944 2138 947 2091 +L 2959 2091 +L 2872 1672 +L 1013 1672 +Q 1144 956 1644 656 +Q 2003 441 2422 441 +Q 3006 441 3334 747 +L 3334 103 +Q 2944 -78 2472 -78 +Q 1059 -78 563 1097 +Q 463 1334 391 1672 +L -88 1672 +L 0 2091 +L 328 2091 +Q 319 2222 319 2375 +Q 319 2438 322 2503 +L -88 2503 +L 0 2922 +L 363 2922 +Q 556 3941 1372 4384 +Q 1875 4659 2481 4659 +Q 3063 4659 3459 4406 +L 3334 3825 +Q 2953 4141 2469 4141 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-50"/> + <use xlink:href="#ArialMT-72" x="66.699219"/> + <use xlink:href="#ArialMT-65" x="100"/> + <use xlink:href="#ArialMT-73" x="155.615234"/> + <use xlink:href="#ArialMT-65" x="205.615234"/> + <use xlink:href="#ArialMT-6e" x="261.230469"/> + <use xlink:href="#ArialMT-74" x="316.845703"/> + <use xlink:href="#ArialMT-20" x="344.628906"/> + <use xlink:href="#ArialMT-56" x="372.412109"/> + <use xlink:href="#ArialMT-61" x="431.736328"/> + <use xlink:href="#ArialMT-6c" x="487.351562"/> + <use xlink:href="#ArialMT-75" x="509.568359"/> + <use xlink:href="#ArialMT-65" x="565.183594"/> + <use xlink:href="#ArialMT-20" x="620.798828"/> + <use xlink:href="#ArialMT-5b" x="648.582031"/> + <use xlink:href="#ArialMT-20ac" x="676.365234"/> + <use xlink:href="#ArialMT-5d" x="731.980469"/> + </g> + </g> + </g> + <g id="line2d_1"> + <path d="M 92.290909 110.16 +L 100.572913 148.182404 +L 108.854917 180.627249 +L 117.13692 208.312715 +L 125.418924 231.936962 +L 133.700928 252.095736 +L 141.982931 269.297392 +L 150.264935 283.975713 +L 158.546939 296.500852 +L 166.828942 307.18866 +L 175.110946 316.308659 +L 183.39295 324.090833 +L 191.674954 330.731429 +L 199.956957 336.397908 +L 208.238961 341.233162 +L 216.520965 345.359127 +L 224.802968 348.879848 +L 233.084972 351.884109 +L 241.366976 354.447672 +L 249.64898 356.635182 +L 257.930983 358.501803 +L 266.212987 360.094607 +L 274.494991 361.45376 +L 282.776994 362.613537 +L 291.058998 363.603185 +L 299.341002 364.44766 +L 307.623006 365.168258 +L 315.905009 365.78315 +L 324.187013 366.307843 +L 332.469017 366.755568 +L 340.75102 367.137616 +L 349.033024 367.463621 +L 357.315028 367.741803 +L 365.597032 367.979179 +L 373.879035 368.181733 +L 382.161039 368.354575 +L 390.443043 368.502062 +L 398.725046 368.627914 +L 407.00705 368.735305 +L 415.289054 368.826942 +L 423.571058 368.905137 +L 431.853061 368.971862 +L 440.135065 369.028798 +L 448.417069 369.077383 +L 456.699072 369.11884 +L 464.981076 369.154216 +L 473.26308 369.184403 +L 481.545083 369.210161 +L 489.827087 369.232142 +L 498.109091 369.250897 +" clip-path="url(#pa8d03186dc)" style="fill: none; stroke-dasharray: 14.8,6.4; stroke-dashoffset: 0; stroke: #0076c2; stroke-width: 4"/> + </g> + <g id="line2d_2"> + <path d="M 92.290909 369.36 +L 100.572913 366.243429 +L 108.854917 363.126857 +L 117.13692 360.010286 +L 125.418924 356.893714 +L 133.700928 353.777143 +L 141.982931 350.660571 +L 150.264935 347.544 +L 158.546939 344.427429 +L 166.828942 341.310857 +L 175.110946 338.194286 +L 183.39295 335.077714 +L 191.674954 331.961143 +L 199.956957 328.844571 +L 208.238961 325.728 +L 216.520965 322.611429 +L 224.802968 319.494857 +L 233.084972 316.378286 +L 241.366976 313.261714 +L 249.64898 310.145143 +L 257.930983 307.028571 +L 266.212987 303.912 +L 274.494991 300.795429 +L 282.776994 297.678857 +L 291.058998 294.562286 +L 299.341002 291.445714 +L 307.623006 288.329143 +L 315.905009 285.212571 +L 324.187013 282.096 +L 332.469017 278.979429 +L 340.75102 275.862857 +L 349.033024 272.746286 +L 357.315028 269.629714 +L 365.597032 266.513143 +L 373.879035 263.396571 +L 382.161039 260.28 +L 390.443043 257.163429 +L 398.725046 254.046857 +L 407.00705 250.930286 +L 415.289054 247.813714 +L 423.571058 244.697143 +L 431.853061 241.580571 +L 440.135065 238.464 +L 448.417069 235.347429 +L 456.699072 232.230857 +L 464.981076 229.114286 +L 473.26308 225.997714 +L 481.545083 222.881143 +L 489.827087 219.764571 +L 498.109091 216.648 +" clip-path="url(#pa8d03186dc)" style="fill: none; stroke-dasharray: 25.6,6.4,4,6.4; stroke-dashoffset: 0; stroke: #00b8c8; stroke-width: 4"/> + </g> + <g id="line2d_3"> + <path d="M 92.290909 66.96 +L 100.572913 106.238952 +L 108.854917 139.320617 +L 117.13692 167.114083 +L 125.418924 190.395083 +L 133.700928 209.825557 +L 141.982931 225.970345 +L 150.264935 239.311428 +L 158.546939 250.260085 +L 166.828942 259.167264 +L 175.110946 266.332433 +L 183.39295 272.01113 +L 191.674954 276.421407 +L 199.956957 279.74933 +L 208.238961 282.153672 +L 216.520965 283.769914 +L 224.802968 284.713663 +L 233.084972 285.083568 +L 241.366976 284.963808 +L 249.64898 284.426211 +L 257.930983 283.532071 +L 266.212987 282.33369 +L 274.494991 280.875697 +L 282.776994 279.196175 +L 291.058998 277.32762 +L 299.341002 275.297763 +L 307.623006 273.130264 +L 315.905009 270.845314 +L 324.187013 268.460143 +L 332.469017 265.989452 +L 340.75102 263.445787 +L 349.033024 260.839851 +L 357.315028 258.180779 +L 365.597032 255.476366 +L 373.879035 252.733264 +L 382.161039 249.957147 +L 390.443043 247.152858 +L 398.725046 244.32453 +L 407.00705 241.47569 +L 415.289054 238.609346 +L 423.571058 235.728066 +L 431.853061 232.834041 +L 440.135065 229.929141 +L 448.417069 227.01496 +L 456.699072 224.092861 +L 464.981076 221.164004 +L 473.26308 218.229382 +L 481.545083 215.289839 +L 489.827087 212.346098 +L 498.109091 209.398775 +" clip-path="url(#pa8d03186dc)" style="fill: none; stroke: #0c2340; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 72 384.48 +L 72 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 518.4 384.48 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 72 384.48 +L 518.4 384.48 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 72 51.84 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="legend_1"> + <g id="patch_7"> + <path d="M 377.7475 132.5375 +L 507.2 132.5375 +Q 510.4 132.5375 510.4 129.3375 +L 510.4 63.04 +Q 510.4 59.84 507.2 59.84 +L 377.7475 59.84 +Q 374.5475 59.84 374.5475 63.04 +L 374.5475 129.3375 +Q 374.5475 132.5375 377.7475 132.5375 +z +" style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/> + </g> + <g id="line2d_4"> + <path d="M 380.9475 72.0925 +L 396.9475 72.0925 +L 412.9475 72.0925 +" style="fill: none; stroke-dasharray: 14.8,6.4; stroke-dashoffset: 0; stroke: #0076c2; stroke-width: 4"/> + </g> + <g id="text_3"> + <!-- Risk --> + <g transform="translate(425.7475 77.6925) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-52" d="M 503 0 +L 503 4581 +L 2534 4581 +Q 3147 4581 3465 4457 +Q 3784 4334 3975 4021 +Q 4166 3709 4166 3331 +Q 4166 2844 3850 2509 +Q 3534 2175 2875 2084 +Q 3116 1969 3241 1856 +Q 3506 1613 3744 1247 +L 4541 0 +L 3778 0 +L 3172 953 +Q 2906 1366 2734 1584 +Q 2563 1803 2427 1890 +Q 2291 1978 2150 2013 +Q 2047 2034 1813 2034 +L 1109 2034 +L 1109 0 +L 503 0 +z +M 1109 2559 +L 2413 2559 +Q 2828 2559 3062 2645 +Q 3297 2731 3419 2920 +Q 3541 3109 3541 3331 +Q 3541 3656 3305 3865 +Q 3069 4075 2559 4075 +L 1109 4075 +L 1109 2559 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-69" d="M 425 3934 +L 425 4581 +L 988 4581 +L 988 3934 +L 425 3934 +z +M 425 0 +L 425 3319 +L 988 3319 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6b" d="M 425 0 +L 425 4581 +L 988 4581 +L 988 1969 +L 2319 3319 +L 3047 3319 +L 1778 2088 +L 3175 0 +L 2481 0 +L 1384 1697 +L 988 1316 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-52"/> + <use xlink:href="#ArialMT-69" x="72.216797"/> + <use xlink:href="#ArialMT-73" x="94.433594"/> + <use xlink:href="#ArialMT-6b" x="144.433594"/> + </g> + </g> + <g id="line2d_5"> + <path d="M 380.9475 94.725 +L 396.9475 94.725 +L 412.9475 94.725 +" style="fill: none; stroke-dasharray: 25.6,6.4,4,6.4; stroke-dashoffset: 0; stroke: #00b8c8; stroke-width: 4"/> + </g> + <g id="text_4"> + <!-- Investment --> + <g transform="translate(425.7475 100.325) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-49" d="M 597 0 +L 597 4581 +L 1203 4581 +L 1203 0 +L 597 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-76" d="M 1344 0 +L 81 3319 +L 675 3319 +L 1388 1331 +Q 1503 1009 1600 663 +Q 1675 925 1809 1294 +L 2547 3319 +L 3125 3319 +L 1869 0 +L 1344 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6d" d="M 422 0 +L 422 3319 +L 925 3319 +L 925 2853 +Q 1081 3097 1340 3245 +Q 1600 3394 1931 3394 +Q 2300 3394 2536 3241 +Q 2772 3088 2869 2813 +Q 3263 3394 3894 3394 +Q 4388 3394 4653 3120 +Q 4919 2847 4919 2278 +L 4919 0 +L 4359 0 +L 4359 2091 +Q 4359 2428 4304 2576 +Q 4250 2725 4106 2815 +Q 3963 2906 3769 2906 +Q 3419 2906 3187 2673 +Q 2956 2441 2956 1928 +L 2956 0 +L 2394 0 +L 2394 2156 +Q 2394 2531 2256 2718 +Q 2119 2906 1806 2906 +Q 1569 2906 1367 2781 +Q 1166 2656 1075 2415 +Q 984 2175 984 1722 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-49"/> + <use xlink:href="#ArialMT-6e" x="27.783203"/> + <use xlink:href="#ArialMT-76" x="83.398438"/> + <use xlink:href="#ArialMT-65" x="133.398438"/> + <use xlink:href="#ArialMT-73" x="189.013672"/> + <use xlink:href="#ArialMT-74" x="239.013672"/> + <use xlink:href="#ArialMT-6d" x="266.796875"/> + <use xlink:href="#ArialMT-65" x="350.097656"/> + <use xlink:href="#ArialMT-6e" x="405.712891"/> + <use xlink:href="#ArialMT-74" x="461.328125"/> + </g> + </g> + <g id="line2d_6"> + <path d="M 380.9475 117.3575 +L 396.9475 117.3575 +L 412.9475 117.3575 +" style="fill: none; stroke: #0c2340; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_5"> + <!-- Total --> + <g transform="translate(425.7475 122.9575) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-54" d="M 1659 0 +L 1659 4041 +L 150 4041 +L 150 4581 +L 3781 4581 +L 3781 4041 +L 2266 4041 +L 2266 0 +L 1659 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6f" d="M 213 1659 +Q 213 2581 725 3025 +Q 1153 3394 1769 3394 +Q 2453 3394 2887 2945 +Q 3322 2497 3322 1706 +Q 3322 1066 3130 698 +Q 2938 331 2570 128 +Q 2203 -75 1769 -75 +Q 1072 -75 642 372 +Q 213 819 213 1659 +z +M 791 1659 +Q 791 1022 1069 705 +Q 1347 388 1769 388 +Q 2188 388 2466 706 +Q 2744 1025 2744 1678 +Q 2744 2294 2464 2611 +Q 2184 2928 1769 2928 +Q 1347 2928 1069 2612 +Q 791 2297 791 1659 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-54"/> + <use xlink:href="#ArialMT-6f" x="49.958984"/> + <use xlink:href="#ArialMT-74" x="105.574219"/> + <use xlink:href="#ArialMT-61" x="133.357422"/> + <use xlink:href="#ArialMT-6c" x="188.972656"/> + </g> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="pa8d03186dc"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/ex_FN_curve_step_01_py.svg b/book/figures/ex_FN_curve_step_01_py.svg new file mode 100644 index 0000000..4cc7adc --- /dev/null +++ b/book/figures/ex_FN_curve_step_01_py.svg @@ -0,0 +1,936 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-11-08T14:23:21.748487</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="patch_3"> + <path d="M 92.290909 384.48 +L 123.034711 384.48 +L 123.034711 67.68 +L 92.290909 67.68 +z +" clip-path="url(#peecd71b851)" style="fill: #e0ffff; stroke: #000000; stroke-linejoin: miter"/> + </g> + <g id="patch_4"> + <path d="M 246.009917 384.48 +L 276.753719 384.48 +L 276.753719 173.28 +L 246.009917 173.28 +z +" clip-path="url(#peecd71b851)" style="fill: #e0ffff; stroke: #000000; stroke-linejoin: miter"/> + </g> + <g id="patch_5"> + <path d="M 467.365289 384.48 +L 498.109091 384.48 +L 498.109091 278.88 +L 467.365289 278.88 +z +" clip-path="url(#peecd71b851)" style="fill: #e0ffff; stroke: #000000; stroke-linejoin: miter"/> + </g> + <g id="line2d_1"> + <path d="M 76.464 173.28 +L 250.56 173.28 +" clip-path="url(#peecd71b851)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/> + </g> + <g id="line2d_2"> + <path d="M 76.464 278.88 +L 473.76 278.88 +" clip-path="url(#peecd71b851)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/> + </g> + <g id="mpl_toolkits.axisartist.axis_artist_1"> + <defs> + <path id="m8cc0a8386b" d="M 0 0 +L 0 -3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m8cc0a8386b" x="107.66281" y="384.48" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m8cc0a8386b" x="261.381818" y="384.48" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m8cc0a8386b" x="482.73719" y="384.48" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g id="text_1"> + <!-- 0 --> + <g transform="translate(102.57281 399.855)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + <g id="text_2"> + <!-- 10 --> + <g transform="translate(251.201818 399.855)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + <g id="text_3"> + <!-- 100 --> + <g transform="translate(467.46719 399.855)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + <g id="patch_6"> + <path d="M 72 384.48 +L 518.4 384.48 +L 533.281966 384.48 +" style="fill: none; stroke: #000000; stroke-linecap: round"/> + <path d="M 526.881966 381.28 +L 533.281966 384.48 +L 526.881966 387.68 +L 526.881966 381.28 +z +" style="fill: #00a6d6; stroke: #000000; stroke-linecap: round"/> + </g> + <g id="text_4"> + <!-- Fatalities --> + <g transform="translate(259.49375 417.24)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-46" d="M 628 4666 +L 3309 4666 +L 3309 4134 +L 1259 4134 +L 1259 2759 +L 3109 2759 +L 3109 2228 +L 1259 2228 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-61" d="M 2194 1759 +Q 1497 1759 1228 1600 +Q 959 1441 959 1056 +Q 959 750 1161 570 +Q 1363 391 1709 391 +Q 2188 391 2477 730 +Q 2766 1069 2766 1631 +L 2766 1759 +L 2194 1759 +z +M 3341 1997 +L 3341 0 +L 2766 0 +L 2766 531 +Q 2569 213 2275 61 +Q 1981 -91 1556 -91 +Q 1019 -91 701 211 +Q 384 513 384 1019 +Q 384 1609 779 1909 +Q 1175 2209 1959 2209 +L 2766 2209 +L 2766 2266 +Q 2766 2663 2505 2880 +Q 2244 3097 1772 3097 +Q 1472 3097 1187 3025 +Q 903 2953 641 2809 +L 641 3341 +Q 956 3463 1253 3523 +Q 1550 3584 1831 3584 +Q 2591 3584 2966 3190 +Q 3341 2797 3341 1997 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-74" d="M 1172 4494 +L 1172 3500 +L 2356 3500 +L 2356 3053 +L 1172 3053 +L 1172 1153 +Q 1172 725 1289 603 +Q 1406 481 1766 481 +L 2356 481 +L 2356 0 +L 1766 0 +Q 1100 0 847 248 +Q 594 497 594 1153 +L 594 3053 +L 172 3053 +L 172 3500 +L 594 3500 +L 594 4494 +L 1172 4494 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6c" d="M 603 4863 +L 1178 4863 +L 1178 0 +L 603 0 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-69" d="M 603 3500 +L 1178 3500 +L 1178 0 +L 603 0 +L 603 3500 +z +M 603 4863 +L 1178 4863 +L 1178 4134 +L 603 4134 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-65" d="M 3597 1894 +L 3597 1613 +L 953 1613 +Q 991 1019 1311 708 +Q 1631 397 2203 397 +Q 2534 397 2845 478 +Q 3156 559 3463 722 +L 3463 178 +Q 3153 47 2828 -22 +Q 2503 -91 2169 -91 +Q 1331 -91 842 396 +Q 353 884 353 1716 +Q 353 2575 817 3079 +Q 1281 3584 2069 3584 +Q 2775 3584 3186 3129 +Q 3597 2675 3597 1894 +z +M 3022 2063 +Q 3016 2534 2758 2815 +Q 2500 3097 2075 3097 +Q 1594 3097 1305 2825 +Q 1016 2553 972 2059 +L 3022 2063 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-73" d="M 2834 3397 +L 2834 2853 +Q 2591 2978 2328 3040 +Q 2066 3103 1784 3103 +Q 1356 3103 1142 2972 +Q 928 2841 928 2578 +Q 928 2378 1081 2264 +Q 1234 2150 1697 2047 +L 1894 2003 +Q 2506 1872 2764 1633 +Q 3022 1394 3022 966 +Q 3022 478 2636 193 +Q 2250 -91 1575 -91 +Q 1294 -91 989 -36 +Q 684 19 347 128 +L 347 722 +Q 666 556 975 473 +Q 1284 391 1588 391 +Q 1994 391 2212 530 +Q 2431 669 2431 922 +Q 2431 1156 2273 1281 +Q 2116 1406 1581 1522 +L 1381 1569 +Q 847 1681 609 1914 +Q 372 2147 372 2553 +Q 372 3047 722 3315 +Q 1072 3584 1716 3584 +Q 2034 3584 2315 3537 +Q 2597 3491 2834 3397 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-46"/> + <use xlink:href="#DejaVuSans-61" x="48.394531"/> + <use xlink:href="#DejaVuSans-74" x="109.673828"/> + <use xlink:href="#DejaVuSans-61" x="148.882812"/> + <use xlink:href="#DejaVuSans-6c" x="210.162109"/> + <use xlink:href="#DejaVuSans-69" x="237.945312"/> + <use xlink:href="#DejaVuSans-74" x="265.728516"/> + <use xlink:href="#DejaVuSans-69" x="304.9375"/> + <use xlink:href="#DejaVuSans-65" x="332.720703"/> + <use xlink:href="#DejaVuSans-73" x="394.244141"/> + </g> + </g> + </g> + <g id="mpl_toolkits.axisartist.axis_artist_2"> + <defs> + <path id="mb31dacf613" d="M 0 0 +L 3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#mb31dacf613" x="76.919008" y="67.68" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#mb31dacf613" x="76.919008" y="173.28" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#mb31dacf613" x="76.919008" y="278.88" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g id="text_5"> + <!-- 0.989 --> + <g transform="translate(27.614008 72.095)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-39" d="M 703 97 +L 703 672 +Q 941 559 1184 500 +Q 1428 441 1663 441 +Q 2288 441 2617 861 +Q 2947 1281 2994 2138 +Q 2813 1869 2534 1725 +Q 2256 1581 1919 1581 +Q 1219 1581 811 2004 +Q 403 2428 403 3163 +Q 403 3881 828 4315 +Q 1253 4750 1959 4750 +Q 2769 4750 3195 4129 +Q 3622 3509 3622 2328 +Q 3622 1225 3098 567 +Q 2575 -91 1691 -91 +Q 1453 -91 1209 -44 +Q 966 3 703 97 +z +M 1959 2075 +Q 2384 2075 2632 2365 +Q 2881 2656 2881 3163 +Q 2881 3666 2632 3958 +Q 2384 4250 1959 4250 +Q 1534 4250 1286 3958 +Q 1038 3666 1038 3163 +Q 1038 2656 1286 2365 +Q 1534 2075 1959 2075 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-39" x="95.410156"/> + <use xlink:href="#DejaVuSans-38" x="159.033203"/> + <use xlink:href="#DejaVuSans-39" x="222.65625"/> + </g> + </g> + <g id="text_6"> + <!-- $10^{-2}$ --> + <g transform="translate(35.819008 177.695)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(186.855469 39.046875)scale(0.7)"/> + </g> + </g> + <g id="text_7"> + <!-- $10^{-3}$ --> + <g transform="translate(35.819008 283.295)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(186.855469 39.046875)scale(0.7)"/> + </g> + </g> + <g id="patch_7"> + <path d="M 76.919008 384.48 +L 76.919008 51.84 +L 76.919008 36.958034 +" style="fill: none; stroke: #000000; stroke-linecap: round"/> + <path d="M 73.719008 43.358034 +L 76.919008 36.958034 +L 80.119008 43.358034 +L 73.719008 43.358034 +z +" style="fill: #00a6d6; stroke: #000000; stroke-linecap: round"/> + </g> + <g id="text_8"> + <!-- Probability --> + <g transform="translate(19.286508 260.44625)rotate(-90)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-50" d="M 1259 4147 +L 1259 2394 +L 2053 2394 +Q 2494 2394 2734 2622 +Q 2975 2850 2975 3272 +Q 2975 3691 2734 3919 +Q 2494 4147 2053 4147 +L 1259 4147 +z +M 628 4666 +L 2053 4666 +Q 2838 4666 3239 4311 +Q 3641 3956 3641 3272 +Q 3641 2581 3239 2228 +Q 2838 1875 2053 1875 +L 1259 1875 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-72" d="M 2631 2963 +Q 2534 3019 2420 3045 +Q 2306 3072 2169 3072 +Q 1681 3072 1420 2755 +Q 1159 2438 1159 1844 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1341 3275 1631 3429 +Q 1922 3584 2338 3584 +Q 2397 3584 2469 3576 +Q 2541 3569 2628 3553 +L 2631 2963 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6f" d="M 1959 3097 +Q 1497 3097 1228 2736 +Q 959 2375 959 1747 +Q 959 1119 1226 758 +Q 1494 397 1959 397 +Q 2419 397 2687 759 +Q 2956 1122 2956 1747 +Q 2956 2369 2687 2733 +Q 2419 3097 1959 3097 +z +M 1959 3584 +Q 2709 3584 3137 3096 +Q 3566 2609 3566 1747 +Q 3566 888 3137 398 +Q 2709 -91 1959 -91 +Q 1206 -91 779 398 +Q 353 888 353 1747 +Q 353 2609 779 3096 +Q 1206 3584 1959 3584 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-62" d="M 3116 1747 +Q 3116 2381 2855 2742 +Q 2594 3103 2138 3103 +Q 1681 3103 1420 2742 +Q 1159 2381 1159 1747 +Q 1159 1113 1420 752 +Q 1681 391 2138 391 +Q 2594 391 2855 752 +Q 3116 1113 3116 1747 +z +M 1159 2969 +Q 1341 3281 1617 3432 +Q 1894 3584 2278 3584 +Q 2916 3584 3314 3078 +Q 3713 2572 3713 1747 +Q 3713 922 3314 415 +Q 2916 -91 2278 -91 +Q 1894 -91 1617 61 +Q 1341 213 1159 525 +L 1159 0 +L 581 0 +L 581 4863 +L 1159 4863 +L 1159 2969 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-79" d="M 2059 -325 +Q 1816 -950 1584 -1140 +Q 1353 -1331 966 -1331 +L 506 -1331 +L 506 -850 +L 844 -850 +Q 1081 -850 1212 -737 +Q 1344 -625 1503 -206 +L 1606 56 +L 191 3500 +L 800 3500 +L 1894 763 +L 2988 3500 +L 3597 3500 +L 2059 -325 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-50"/> + <use xlink:href="#DejaVuSans-72" x="58.552734"/> + <use xlink:href="#DejaVuSans-6f" x="97.416016"/> + <use xlink:href="#DejaVuSans-62" x="158.597656"/> + <use xlink:href="#DejaVuSans-61" x="222.074219"/> + <use xlink:href="#DejaVuSans-62" x="283.353516"/> + <use xlink:href="#DejaVuSans-69" x="346.830078"/> + <use xlink:href="#DejaVuSans-6c" x="374.613281"/> + <use xlink:href="#DejaVuSans-69" x="402.396484"/> + <use xlink:href="#DejaVuSans-74" x="430.179688"/> + <use xlink:href="#DejaVuSans-79" x="469.388672"/> + </g> + </g> + </g> + <g id="text_9"> + <!-- Probability density/mass function, $f_{N}(n)$ --> + <g transform="translate(151.296 45.84)scale(0.192 -0.192)"> + <defs> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-64" d="M 2906 2969 +L 2906 4863 +L 3481 4863 +L 3481 0 +L 2906 0 +L 2906 525 +Q 2725 213 2448 61 +Q 2172 -91 1784 -91 +Q 1150 -91 751 415 +Q 353 922 353 1747 +Q 353 2572 751 3078 +Q 1150 3584 1784 3584 +Q 2172 3584 2448 3432 +Q 2725 3281 2906 2969 +z +M 947 1747 +Q 947 1113 1208 752 +Q 1469 391 1925 391 +Q 2381 391 2643 752 +Q 2906 1113 2906 1747 +Q 2906 2381 2643 2742 +Q 2381 3103 1925 3103 +Q 1469 3103 1208 2742 +Q 947 2381 947 1747 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6e" d="M 3513 2113 +L 3513 0 +L 2938 0 +L 2938 2094 +Q 2938 2591 2744 2837 +Q 2550 3084 2163 3084 +Q 1697 3084 1428 2787 +Q 1159 2491 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1366 3272 1645 3428 +Q 1925 3584 2291 3584 +Q 2894 3584 3203 3211 +Q 3513 2838 3513 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2f" d="M 1625 4666 +L 2156 4666 +L 531 -594 +L 0 -594 +L 1625 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6d" d="M 3328 2828 +Q 3544 3216 3844 3400 +Q 4144 3584 4550 3584 +Q 5097 3584 5394 3201 +Q 5691 2819 5691 2113 +L 5691 0 +L 5113 0 +L 5113 2094 +Q 5113 2597 4934 2840 +Q 4756 3084 4391 3084 +Q 3944 3084 3684 2787 +Q 3425 2491 3425 1978 +L 3425 0 +L 2847 0 +L 2847 2094 +Q 2847 2600 2669 2842 +Q 2491 3084 2119 3084 +Q 1678 3084 1418 2786 +Q 1159 2488 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1356 3278 1631 3431 +Q 1906 3584 2284 3584 +Q 2666 3584 2933 3390 +Q 3200 3197 3328 2828 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-66" d="M 2375 4863 +L 2375 4384 +L 1825 4384 +Q 1516 4384 1395 4259 +Q 1275 4134 1275 3809 +L 1275 3500 +L 2222 3500 +L 2222 3053 +L 1275 3053 +L 1275 0 +L 697 0 +L 697 3053 +L 147 3053 +L 147 3500 +L 697 3500 +L 697 3744 +Q 697 4328 969 4595 +Q 1241 4863 1831 4863 +L 2375 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-75" d="M 544 1381 +L 544 3500 +L 1119 3500 +L 1119 1403 +Q 1119 906 1312 657 +Q 1506 409 1894 409 +Q 2359 409 2629 706 +Q 2900 1003 2900 1516 +L 2900 3500 +L 3475 3500 +L 3475 0 +L 2900 0 +L 2900 538 +Q 2691 219 2414 64 +Q 2138 -91 1772 -91 +Q 1169 -91 856 284 +Q 544 659 544 1381 +z +M 1991 3584 +L 1991 3584 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-63" d="M 3122 3366 +L 3122 2828 +Q 2878 2963 2633 3030 +Q 2388 3097 2138 3097 +Q 1578 3097 1268 2742 +Q 959 2388 959 1747 +Q 959 1106 1268 751 +Q 1578 397 2138 397 +Q 2388 397 2633 464 +Q 2878 531 3122 666 +L 3122 134 +Q 2881 22 2623 -34 +Q 2366 -91 2075 -91 +Q 1284 -91 818 406 +Q 353 903 353 1747 +Q 353 2603 823 3093 +Q 1294 3584 2113 3584 +Q 2378 3584 2631 3529 +Q 2884 3475 3122 3366 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2c" d="M 750 794 +L 1409 794 +L 1409 256 +L 897 -744 +L 494 -744 +L 750 256 +L 750 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-66" d="M 3059 4863 +L 2969 4384 +L 2419 4384 +Q 2106 4384 1964 4261 +Q 1822 4138 1753 3809 +L 1691 3500 +L 2638 3500 +L 2553 3053 +L 1606 3053 +L 1013 0 +L 434 0 +L 1031 3053 +L 481 3053 +L 563 3500 +L 1113 3500 +L 1159 3744 +Q 1278 4363 1576 4613 +Q 1875 4863 2516 4863 +L 3059 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-6e" d="M 3566 2113 +L 3156 0 +L 2578 0 +L 2988 2091 +Q 3016 2238 3031 2350 +Q 3047 2463 3047 2528 +Q 3047 2791 2881 2937 +Q 2716 3084 2419 3084 +Q 1956 3084 1622 2776 +Q 1288 2469 1184 1941 +L 800 0 +L 225 0 +L 903 3500 +L 1478 3500 +L 1363 2950 +Q 1603 3253 1940 3418 +Q 2278 3584 2650 3584 +Q 3113 3584 3367 3334 +Q 3622 3084 3622 2631 +Q 3622 2519 3608 2391 +Q 3594 2263 3566 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-50" transform="translate(0 0.015625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(60.302734 0.015625)"/> + <use xlink:href="#DejaVuSans-6f" transform="translate(101.416016 0.015625)"/> + <use xlink:href="#DejaVuSans-62" transform="translate(162.597656 0.015625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(226.074219 0.015625)"/> + <use xlink:href="#DejaVuSans-62" transform="translate(287.353516 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(350.830078 0.015625)"/> + <use xlink:href="#DejaVuSans-6c" transform="translate(378.613281 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(406.396484 0.015625)"/> + <use xlink:href="#DejaVuSans-74" transform="translate(434.179688 0.015625)"/> + <use xlink:href="#DejaVuSans-79" transform="translate(473.388672 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(532.568359 0.015625)"/> + <use xlink:href="#DejaVuSans-64" transform="translate(564.355469 0.015625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(627.832031 0.015625)"/> + <use xlink:href="#DejaVuSans-6e" transform="translate(689.355469 0.015625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(752.734375 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(804.833984 0.015625)"/> + <use xlink:href="#DejaVuSans-74" transform="translate(832.617188 0.015625)"/> + <use xlink:href="#DejaVuSans-79" transform="translate(871.826172 0.015625)"/> + <use xlink:href="#DejaVuSans-2f" transform="translate(931.005859 0.015625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(964.697266 0.015625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(1062.109375 0.015625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1123.388672 0.015625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1175.488281 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(1227.587891 0.015625)"/> + <use xlink:href="#DejaVuSans-66" transform="translate(1259.375 0.015625)"/> + <use xlink:href="#DejaVuSans-75" transform="translate(1294.580078 0.015625)"/> + <use xlink:href="#DejaVuSans-6e" transform="translate(1357.958984 0.015625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(1421.337891 0.015625)"/> + <use xlink:href="#DejaVuSans-74" transform="translate(1476.318359 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(1515.527344 0.015625)"/> + <use xlink:href="#DejaVuSans-6f" transform="translate(1543.310547 0.015625)"/> + <use xlink:href="#DejaVuSans-6e" transform="translate(1604.492188 0.015625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(1667.871094 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(1699.658203 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-66" transform="translate(1731.445312 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(1766.650391 -16.390625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(1821.748047 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(1860.761719 0.015625)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(1924.140625 0.015625)"/> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="peecd71b851"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/ex_FN_curve_step_02_py.svg b/book/figures/ex_FN_curve_step_02_py.svg new file mode 100644 index 0000000..6060fa3 --- /dev/null +++ b/book/figures/ex_FN_curve_step_02_py.svg @@ -0,0 +1,1048 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-11-08T14:23:21.699944</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="line2d_1"> + <path d="M 92.290909 369.36 +L 92.290909 170.91 +L 224.622925 170.91 +L 224.622925 107.91 +L 414.298814 107.91 +L 414.298814 66.96 +L 498.109091 66.96 +" clip-path="url(#p8865b763b7)" style="fill: none; stroke: #00008b; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="mpl_toolkits.axisartist.axis_artist_1"> + <defs> + <path id="m1cefd34eaf" d="M 0 0 +L 0 -3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m1cefd34eaf" x="92.290909" y="378.81" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m1cefd34eaf" x="224.622925" y="378.81" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m1cefd34eaf" x="414.298814" y="378.81" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m1cefd34eaf" x="498.109091" y="378.81" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g id="text_1"> + <!-- 0 --> + <g transform="translate(87.200909 394.185)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + <g id="text_2"> + <!-- 10 --> + <g transform="translate(214.442925 394.185)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + <g id="text_3"> + <!-- 100 --> + <g transform="translate(399.028814 394.185)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + <g id="patch_3"> + <path d="M 72 378.81 +L 518.4 378.81 +L 533.281966 378.81 +" style="fill: none; stroke: #000000; stroke-linecap: round"/> + <path d="M 526.881966 375.61 +L 533.281966 378.81 +L 526.881966 382.01 +L 526.881966 375.61 +z +" style="fill: #00a6d6; stroke: #000000; stroke-linecap: round"/> + </g> + <g id="text_4"> + <!-- Fatalities --> + <g transform="translate(259.49375 411.57)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-46" d="M 628 4666 +L 3309 4666 +L 3309 4134 +L 1259 4134 +L 1259 2759 +L 3109 2759 +L 3109 2228 +L 1259 2228 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-61" d="M 2194 1759 +Q 1497 1759 1228 1600 +Q 959 1441 959 1056 +Q 959 750 1161 570 +Q 1363 391 1709 391 +Q 2188 391 2477 730 +Q 2766 1069 2766 1631 +L 2766 1759 +L 2194 1759 +z +M 3341 1997 +L 3341 0 +L 2766 0 +L 2766 531 +Q 2569 213 2275 61 +Q 1981 -91 1556 -91 +Q 1019 -91 701 211 +Q 384 513 384 1019 +Q 384 1609 779 1909 +Q 1175 2209 1959 2209 +L 2766 2209 +L 2766 2266 +Q 2766 2663 2505 2880 +Q 2244 3097 1772 3097 +Q 1472 3097 1187 3025 +Q 903 2953 641 2809 +L 641 3341 +Q 956 3463 1253 3523 +Q 1550 3584 1831 3584 +Q 2591 3584 2966 3190 +Q 3341 2797 3341 1997 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-74" d="M 1172 4494 +L 1172 3500 +L 2356 3500 +L 2356 3053 +L 1172 3053 +L 1172 1153 +Q 1172 725 1289 603 +Q 1406 481 1766 481 +L 2356 481 +L 2356 0 +L 1766 0 +Q 1100 0 847 248 +Q 594 497 594 1153 +L 594 3053 +L 172 3053 +L 172 3500 +L 594 3500 +L 594 4494 +L 1172 4494 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6c" d="M 603 4863 +L 1178 4863 +L 1178 0 +L 603 0 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-69" d="M 603 3500 +L 1178 3500 +L 1178 0 +L 603 0 +L 603 3500 +z +M 603 4863 +L 1178 4863 +L 1178 4134 +L 603 4134 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-65" d="M 3597 1894 +L 3597 1613 +L 953 1613 +Q 991 1019 1311 708 +Q 1631 397 2203 397 +Q 2534 397 2845 478 +Q 3156 559 3463 722 +L 3463 178 +Q 3153 47 2828 -22 +Q 2503 -91 2169 -91 +Q 1331 -91 842 396 +Q 353 884 353 1716 +Q 353 2575 817 3079 +Q 1281 3584 2069 3584 +Q 2775 3584 3186 3129 +Q 3597 2675 3597 1894 +z +M 3022 2063 +Q 3016 2534 2758 2815 +Q 2500 3097 2075 3097 +Q 1594 3097 1305 2825 +Q 1016 2553 972 2059 +L 3022 2063 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-73" d="M 2834 3397 +L 2834 2853 +Q 2591 2978 2328 3040 +Q 2066 3103 1784 3103 +Q 1356 3103 1142 2972 +Q 928 2841 928 2578 +Q 928 2378 1081 2264 +Q 1234 2150 1697 2047 +L 1894 2003 +Q 2506 1872 2764 1633 +Q 3022 1394 3022 966 +Q 3022 478 2636 193 +Q 2250 -91 1575 -91 +Q 1294 -91 989 -36 +Q 684 19 347 128 +L 347 722 +Q 666 556 975 473 +Q 1284 391 1588 391 +Q 1994 391 2212 530 +Q 2431 669 2431 922 +Q 2431 1156 2273 1281 +Q 2116 1406 1581 1522 +L 1381 1569 +Q 847 1681 609 1914 +Q 372 2147 372 2553 +Q 372 3047 722 3315 +Q 1072 3584 1716 3584 +Q 2034 3584 2315 3537 +Q 2597 3491 2834 3397 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-46"/> + <use xlink:href="#DejaVuSans-61" x="48.394531"/> + <use xlink:href="#DejaVuSans-74" x="109.673828"/> + <use xlink:href="#DejaVuSans-61" x="148.882812"/> + <use xlink:href="#DejaVuSans-6c" x="210.162109"/> + <use xlink:href="#DejaVuSans-69" x="237.945312"/> + <use xlink:href="#DejaVuSans-74" x="265.728516"/> + <use xlink:href="#DejaVuSans-69" x="304.9375"/> + <use xlink:href="#DejaVuSans-65" x="332.720703"/> + <use xlink:href="#DejaVuSans-73" x="394.244141"/> + </g> + </g> + </g> + <g id="mpl_toolkits.axisartist.axis_artist_2"> + <defs> + <path id="m84f4c74891" d="M 0 0 +L 3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m84f4c74891" x="79.057708" y="369.36" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m84f4c74891" x="79.057708" y="170.91" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m84f4c74891" x="79.057708" y="107.91" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m84f4c74891" x="79.057708" y="66.96" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g id="text_5"> + <!-- 0 --> + <g transform="translate(65.377708 373.775)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + <g id="text_6"> + <!-- 0.989 --> + <g transform="translate(29.752708 175.325)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-39" d="M 703 97 +L 703 672 +Q 941 559 1184 500 +Q 1428 441 1663 441 +Q 2288 441 2617 861 +Q 2947 1281 2994 2138 +Q 2813 1869 2534 1725 +Q 2256 1581 1919 1581 +Q 1219 1581 811 2004 +Q 403 2428 403 3163 +Q 403 3881 828 4315 +Q 1253 4750 1959 4750 +Q 2769 4750 3195 4129 +Q 3622 3509 3622 2328 +Q 3622 1225 3098 567 +Q 2575 -91 1691 -91 +Q 1453 -91 1209 -44 +Q 966 3 703 97 +z +M 1959 2075 +Q 2384 2075 2632 2365 +Q 2881 2656 2881 3163 +Q 2881 3666 2632 3958 +Q 2384 4250 1959 4250 +Q 1534 4250 1286 3958 +Q 1038 3666 1038 3163 +Q 1038 2656 1286 2365 +Q 1534 2075 1959 2075 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-39" x="95.410156"/> + <use xlink:href="#DejaVuSans-38" x="159.033203"/> + <use xlink:href="#DejaVuSans-39" x="222.65625"/> + </g> + </g> + <g id="text_7"> + <!-- 0.999 --> + <g transform="translate(29.752708 112.325)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-39" x="95.410156"/> + <use xlink:href="#DejaVuSans-39" x="159.033203"/> + <use xlink:href="#DejaVuSans-39" x="222.65625"/> + </g> + </g> + <g id="text_8"> + <!-- 1 --> + <g transform="translate(65.377708 71.375)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-31"/> + </g> + </g> + <g id="patch_4"> + <path d="M 79.057708 384.48 +L 79.057708 51.84 +L 79.057708 36.958034 +" style="fill: none; stroke: #000000; stroke-linecap: round"/> + <path d="M 75.857708 43.358034 +L 79.057708 36.958034 +L 82.257708 43.358034 +L 75.857708 43.358034 +z +" style="fill: #00a6d6; stroke: #000000; stroke-linecap: round"/> + </g> + <g id="text_9"> + <!-- Probability --> + <g transform="translate(21.425208 260.44625)rotate(-90)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-50" d="M 1259 4147 +L 1259 2394 +L 2053 2394 +Q 2494 2394 2734 2622 +Q 2975 2850 2975 3272 +Q 2975 3691 2734 3919 +Q 2494 4147 2053 4147 +L 1259 4147 +z +M 628 4666 +L 2053 4666 +Q 2838 4666 3239 4311 +Q 3641 3956 3641 3272 +Q 3641 2581 3239 2228 +Q 2838 1875 2053 1875 +L 1259 1875 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-72" d="M 2631 2963 +Q 2534 3019 2420 3045 +Q 2306 3072 2169 3072 +Q 1681 3072 1420 2755 +Q 1159 2438 1159 1844 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1341 3275 1631 3429 +Q 1922 3584 2338 3584 +Q 2397 3584 2469 3576 +Q 2541 3569 2628 3553 +L 2631 2963 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6f" d="M 1959 3097 +Q 1497 3097 1228 2736 +Q 959 2375 959 1747 +Q 959 1119 1226 758 +Q 1494 397 1959 397 +Q 2419 397 2687 759 +Q 2956 1122 2956 1747 +Q 2956 2369 2687 2733 +Q 2419 3097 1959 3097 +z +M 1959 3584 +Q 2709 3584 3137 3096 +Q 3566 2609 3566 1747 +Q 3566 888 3137 398 +Q 2709 -91 1959 -91 +Q 1206 -91 779 398 +Q 353 888 353 1747 +Q 353 2609 779 3096 +Q 1206 3584 1959 3584 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-62" d="M 3116 1747 +Q 3116 2381 2855 2742 +Q 2594 3103 2138 3103 +Q 1681 3103 1420 2742 +Q 1159 2381 1159 1747 +Q 1159 1113 1420 752 +Q 1681 391 2138 391 +Q 2594 391 2855 752 +Q 3116 1113 3116 1747 +z +M 1159 2969 +Q 1341 3281 1617 3432 +Q 1894 3584 2278 3584 +Q 2916 3584 3314 3078 +Q 3713 2572 3713 1747 +Q 3713 922 3314 415 +Q 2916 -91 2278 -91 +Q 1894 -91 1617 61 +Q 1341 213 1159 525 +L 1159 0 +L 581 0 +L 581 4863 +L 1159 4863 +L 1159 2969 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-79" d="M 2059 -325 +Q 1816 -950 1584 -1140 +Q 1353 -1331 966 -1331 +L 506 -1331 +L 506 -850 +L 844 -850 +Q 1081 -850 1212 -737 +Q 1344 -625 1503 -206 +L 1606 56 +L 191 3500 +L 800 3500 +L 1894 763 +L 2988 3500 +L 3597 3500 +L 2059 -325 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-50"/> + <use xlink:href="#DejaVuSans-72" x="58.552734"/> + <use xlink:href="#DejaVuSans-6f" x="97.416016"/> + <use xlink:href="#DejaVuSans-62" x="158.597656"/> + <use xlink:href="#DejaVuSans-61" x="222.074219"/> + <use xlink:href="#DejaVuSans-62" x="283.353516"/> + <use xlink:href="#DejaVuSans-69" x="346.830078"/> + <use xlink:href="#DejaVuSans-6c" x="374.613281"/> + <use xlink:href="#DejaVuSans-69" x="402.396484"/> + <use xlink:href="#DejaVuSans-74" x="430.179688"/> + <use xlink:href="#DejaVuSans-79" x="469.388672"/> + </g> + </g> + </g> + <g id="text_10"> + <!-- } $10^{-3}$ --> + <g transform="translate(431.943083 95.31)scale(0.2 -0.2)"> + <defs> + <path id="DejaVuSans-7d" d="M 800 -594 +L 1019 -594 +Q 1456 -594 1589 -459 +Q 1722 -325 1722 122 +L 1722 897 +Q 1722 1384 1862 1606 +Q 2003 1828 2350 1913 +Q 2003 1991 1862 2212 +Q 1722 2434 1722 2925 +L 1722 3700 +Q 1722 4144 1589 4280 +Q 1456 4416 1019 4416 +L 800 4416 +L 800 4863 +L 997 4863 +Q 1775 4863 2036 4633 +Q 2297 4403 2297 3713 +L 2297 2963 +Q 2297 2497 2465 2317 +Q 2634 2138 3078 2138 +L 3272 2138 +L 3272 1691 +L 3078 1691 +Q 2634 1691 2465 1509 +Q 2297 1328 2297 856 +L 2297 109 +Q 2297 -581 2036 -812 +Q 1775 -1044 997 -1044 +L 800 -1044 +L 800 -594 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-7d" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(95.410156 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(159.033203 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(223.613281 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(282.265625 39.046875)scale(0.7)"/> + </g> + </g> + <g id="text_11"> + <!-- } $10^{-2}$ --> + <g transform="translate(255.500395 150.435)scale(0.3 -0.3)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-7d" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(95.410156 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(159.033203 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(223.613281 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(282.265625 39.046875)scale(0.7)"/> + </g> + </g> + <g id="text_12"> + <!-- Cumulative distribution function, $F_{N}(n) = P(N \leq n)$ --> + <g transform="translate(82.032 45.84)scale(0.192 -0.192)"> + <defs> + <path id="DejaVuSans-43" d="M 4122 4306 +L 4122 3641 +Q 3803 3938 3442 4084 +Q 3081 4231 2675 4231 +Q 1875 4231 1450 3742 +Q 1025 3253 1025 2328 +Q 1025 1406 1450 917 +Q 1875 428 2675 428 +Q 3081 428 3442 575 +Q 3803 722 4122 1019 +L 4122 359 +Q 3791 134 3420 21 +Q 3050 -91 2638 -91 +Q 1578 -91 968 557 +Q 359 1206 359 2328 +Q 359 3453 968 4101 +Q 1578 4750 2638 4750 +Q 3056 4750 3426 4639 +Q 3797 4528 4122 4306 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-75" d="M 544 1381 +L 544 3500 +L 1119 3500 +L 1119 1403 +Q 1119 906 1312 657 +Q 1506 409 1894 409 +Q 2359 409 2629 706 +Q 2900 1003 2900 1516 +L 2900 3500 +L 3475 3500 +L 3475 0 +L 2900 0 +L 2900 538 +Q 2691 219 2414 64 +Q 2138 -91 1772 -91 +Q 1169 -91 856 284 +Q 544 659 544 1381 +z +M 1991 3584 +L 1991 3584 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6d" d="M 3328 2828 +Q 3544 3216 3844 3400 +Q 4144 3584 4550 3584 +Q 5097 3584 5394 3201 +Q 5691 2819 5691 2113 +L 5691 0 +L 5113 0 +L 5113 2094 +Q 5113 2597 4934 2840 +Q 4756 3084 4391 3084 +Q 3944 3084 3684 2787 +Q 3425 2491 3425 1978 +L 3425 0 +L 2847 0 +L 2847 2094 +Q 2847 2600 2669 2842 +Q 2491 3084 2119 3084 +Q 1678 3084 1418 2786 +Q 1159 2488 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1356 3278 1631 3431 +Q 1906 3584 2284 3584 +Q 2666 3584 2933 3390 +Q 3200 3197 3328 2828 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-76" d="M 191 3500 +L 800 3500 +L 1894 563 +L 2988 3500 +L 3597 3500 +L 2284 0 +L 1503 0 +L 191 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-64" d="M 2906 2969 +L 2906 4863 +L 3481 4863 +L 3481 0 +L 2906 0 +L 2906 525 +Q 2725 213 2448 61 +Q 2172 -91 1784 -91 +Q 1150 -91 751 415 +Q 353 922 353 1747 +Q 353 2572 751 3078 +Q 1150 3584 1784 3584 +Q 2172 3584 2448 3432 +Q 2725 3281 2906 2969 +z +M 947 1747 +Q 947 1113 1208 752 +Q 1469 391 1925 391 +Q 2381 391 2643 752 +Q 2906 1113 2906 1747 +Q 2906 2381 2643 2742 +Q 2381 3103 1925 3103 +Q 1469 3103 1208 2742 +Q 947 2381 947 1747 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6e" d="M 3513 2113 +L 3513 0 +L 2938 0 +L 2938 2094 +Q 2938 2591 2744 2837 +Q 2550 3084 2163 3084 +Q 1697 3084 1428 2787 +Q 1159 2491 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1366 3272 1645 3428 +Q 1925 3584 2291 3584 +Q 2894 3584 3203 3211 +Q 3513 2838 3513 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-66" d="M 2375 4863 +L 2375 4384 +L 1825 4384 +Q 1516 4384 1395 4259 +Q 1275 4134 1275 3809 +L 1275 3500 +L 2222 3500 +L 2222 3053 +L 1275 3053 +L 1275 0 +L 697 0 +L 697 3053 +L 147 3053 +L 147 3500 +L 697 3500 +L 697 3744 +Q 697 4328 969 4595 +Q 1241 4863 1831 4863 +L 2375 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-63" d="M 3122 3366 +L 3122 2828 +Q 2878 2963 2633 3030 +Q 2388 3097 2138 3097 +Q 1578 3097 1268 2742 +Q 959 2388 959 1747 +Q 959 1106 1268 751 +Q 1578 397 2138 397 +Q 2388 397 2633 464 +Q 2878 531 3122 666 +L 3122 134 +Q 2881 22 2623 -34 +Q 2366 -91 2075 -91 +Q 1284 -91 818 406 +Q 353 903 353 1747 +Q 353 2603 823 3093 +Q 1294 3584 2113 3584 +Q 2378 3584 2631 3529 +Q 2884 3475 3122 3366 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2c" d="M 750 794 +L 1409 794 +L 1409 256 +L 897 -744 +L 494 -744 +L 750 256 +L 750 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-46" d="M 1081 4666 +L 3756 4666 +L 3653 4134 +L 1606 4134 +L 1338 2759 +L 3188 2759 +L 3084 2228 +L 1234 2228 +L 800 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-6e" d="M 3566 2113 +L 3156 0 +L 2578 0 +L 2988 2091 +Q 3016 2238 3031 2350 +Q 3047 2463 3047 2528 +Q 3047 2791 2881 2937 +Q 2716 3084 2419 3084 +Q 1956 3084 1622 2776 +Q 1288 2469 1184 1941 +L 800 0 +L 225 0 +L 903 3500 +L 1478 3500 +L 1363 2950 +Q 1603 3253 1940 3418 +Q 2278 3584 2650 3584 +Q 3113 3584 3367 3334 +Q 3622 3084 3622 2631 +Q 3622 2519 3608 2391 +Q 3594 2263 3566 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-3d" d="M 678 2906 +L 4684 2906 +L 4684 2381 +L 678 2381 +L 678 2906 +z +M 678 1631 +L 4684 1631 +L 4684 1100 +L 678 1100 +L 678 1631 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-50" d="M 1081 4666 +L 2541 4666 +Q 3178 4666 3512 4369 +Q 3847 4072 3847 3500 +Q 3847 2731 3353 2303 +Q 2859 1875 1966 1875 +L 1172 1875 +L 806 0 +L 172 0 +L 1081 4666 +z +M 1613 4147 +L 1275 2394 +L 2069 2394 +Q 2606 2394 2893 2669 +Q 3181 2944 3181 3456 +Q 3181 3784 2986 3965 +Q 2791 4147 2438 4147 +L 1613 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2264" d="M 4684 3175 +L 1684 2309 +L 4684 1453 +L 4684 897 +L 678 2047 +L 678 2578 +L 4684 3725 +L 4684 3175 +z +M 678 531 +L 4684 531 +L 4684 0 +L 678 0 +L 678 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-43" transform="translate(0 0.015625)"/> + <use xlink:href="#DejaVuSans-75" transform="translate(69.824219 0.015625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(133.203125 0.015625)"/> + <use xlink:href="#DejaVuSans-75" transform="translate(230.615234 0.015625)"/> + <use xlink:href="#DejaVuSans-6c" transform="translate(293.994141 0.015625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(321.777344 0.015625)"/> + <use xlink:href="#DejaVuSans-74" transform="translate(383.056641 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(422.265625 0.015625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(450.048828 0.015625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(509.228516 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(570.751953 0.015625)"/> + <use xlink:href="#DejaVuSans-64" transform="translate(602.539062 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(666.015625 0.015625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(693.798828 0.015625)"/> + <use xlink:href="#DejaVuSans-74" transform="translate(745.898438 0.015625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(785.107422 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(826.220703 0.015625)"/> + <use xlink:href="#DejaVuSans-62" transform="translate(854.003906 0.015625)"/> + <use xlink:href="#DejaVuSans-75" transform="translate(917.480469 0.015625)"/> + <use xlink:href="#DejaVuSans-74" transform="translate(980.859375 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(1020.068359 0.015625)"/> + <use xlink:href="#DejaVuSans-6f" transform="translate(1047.851562 0.015625)"/> + <use xlink:href="#DejaVuSans-6e" transform="translate(1109.033203 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(1172.412109 0.015625)"/> + <use xlink:href="#DejaVuSans-66" transform="translate(1204.199219 0.015625)"/> + <use xlink:href="#DejaVuSans-75" transform="translate(1239.404297 0.015625)"/> + <use xlink:href="#DejaVuSans-6e" transform="translate(1302.783203 0.015625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(1366.162109 0.015625)"/> + <use xlink:href="#DejaVuSans-74" transform="translate(1421.142578 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(1460.351562 0.015625)"/> + <use xlink:href="#DejaVuSans-6f" transform="translate(1488.134766 0.015625)"/> + <use xlink:href="#DejaVuSans-6e" transform="translate(1549.316406 0.015625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(1612.695312 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(1644.482422 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-46" transform="translate(1676.269531 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(1733.789062 -16.390625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(1788.886719 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(1827.900391 0.015625)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(1891.279297 0.015625)"/> + <use xlink:href="#DejaVuSans-3d" transform="translate(1949.775391 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-50" transform="translate(2053.046875 0.015625)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(2113.349609 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(2152.363281 0.015625)"/> + <use xlink:href="#DejaVuSans-2264" transform="translate(2246.650391 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(2349.921875 0.015625)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(2413.300781 0.015625)"/> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="p8865b763b7"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/ex_FN_curve_step_03_py.svg b/book/figures/ex_FN_curve_step_03_py.svg new file mode 100644 index 0000000..963e920 --- /dev/null +++ b/book/figures/ex_FN_curve_step_03_py.svg @@ -0,0 +1,822 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-11-08T14:23:21.696682</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="line2d_1"> + <path d="M 92.290909 369.36 +L 92.290909 66.96 +L 224.622925 66.96 +L 224.622925 170.91 +L 498.109091 170.91 +L 498.109091 369.36 +L 498.109091 369.36 +" clip-path="url(#p2afb94e894)" style="fill: none; stroke: #00008b; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="mpl_toolkits.axisartist.axis_artist_1"> + <defs> + <path id="m1cb5f93fe1" d="M 0 0 +L 0 -3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m1cb5f93fe1" x="92.290909" y="378.81" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m1cb5f93fe1" x="224.622925" y="378.81" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m1cb5f93fe1" x="498.109091" y="378.81" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m1cb5f93fe1" x="498.109091" y="378.81" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g id="text_1"> + <!-- 0 --> + <g transform="translate(87.200909 394.185)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + <g id="text_2"> + <!-- 10 --> + <g transform="translate(214.442925 394.185)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + <g id="text_3"> + <!-- 100 --> + <g transform="translate(482.839091 394.185)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + <g id="text_4"> + <!-- 100 --> + <g transform="translate(482.839091 394.185)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + <g id="patch_3"> + <path d="M 72 378.81 +L 518.4 378.81 +L 533.281966 378.81 +" style="fill: none; stroke: #000000; stroke-linecap: round"/> + <path d="M 526.881966 375.61 +L 533.281966 378.81 +L 526.881966 382.01 +L 526.881966 375.61 +z +" style="fill: #00a6d6; stroke: #000000; stroke-linecap: round"/> + </g> + <g id="text_5"> + <!-- Fatalities --> + <g transform="translate(259.49375 411.57)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-46" d="M 628 4666 +L 3309 4666 +L 3309 4134 +L 1259 4134 +L 1259 2759 +L 3109 2759 +L 3109 2228 +L 1259 2228 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-61" d="M 2194 1759 +Q 1497 1759 1228 1600 +Q 959 1441 959 1056 +Q 959 750 1161 570 +Q 1363 391 1709 391 +Q 2188 391 2477 730 +Q 2766 1069 2766 1631 +L 2766 1759 +L 2194 1759 +z +M 3341 1997 +L 3341 0 +L 2766 0 +L 2766 531 +Q 2569 213 2275 61 +Q 1981 -91 1556 -91 +Q 1019 -91 701 211 +Q 384 513 384 1019 +Q 384 1609 779 1909 +Q 1175 2209 1959 2209 +L 2766 2209 +L 2766 2266 +Q 2766 2663 2505 2880 +Q 2244 3097 1772 3097 +Q 1472 3097 1187 3025 +Q 903 2953 641 2809 +L 641 3341 +Q 956 3463 1253 3523 +Q 1550 3584 1831 3584 +Q 2591 3584 2966 3190 +Q 3341 2797 3341 1997 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-74" d="M 1172 4494 +L 1172 3500 +L 2356 3500 +L 2356 3053 +L 1172 3053 +L 1172 1153 +Q 1172 725 1289 603 +Q 1406 481 1766 481 +L 2356 481 +L 2356 0 +L 1766 0 +Q 1100 0 847 248 +Q 594 497 594 1153 +L 594 3053 +L 172 3053 +L 172 3500 +L 594 3500 +L 594 4494 +L 1172 4494 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6c" d="M 603 4863 +L 1178 4863 +L 1178 0 +L 603 0 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-69" d="M 603 3500 +L 1178 3500 +L 1178 0 +L 603 0 +L 603 3500 +z +M 603 4863 +L 1178 4863 +L 1178 4134 +L 603 4134 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-65" d="M 3597 1894 +L 3597 1613 +L 953 1613 +Q 991 1019 1311 708 +Q 1631 397 2203 397 +Q 2534 397 2845 478 +Q 3156 559 3463 722 +L 3463 178 +Q 3153 47 2828 -22 +Q 2503 -91 2169 -91 +Q 1331 -91 842 396 +Q 353 884 353 1716 +Q 353 2575 817 3079 +Q 1281 3584 2069 3584 +Q 2775 3584 3186 3129 +Q 3597 2675 3597 1894 +z +M 3022 2063 +Q 3016 2534 2758 2815 +Q 2500 3097 2075 3097 +Q 1594 3097 1305 2825 +Q 1016 2553 972 2059 +L 3022 2063 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-73" d="M 2834 3397 +L 2834 2853 +Q 2591 2978 2328 3040 +Q 2066 3103 1784 3103 +Q 1356 3103 1142 2972 +Q 928 2841 928 2578 +Q 928 2378 1081 2264 +Q 1234 2150 1697 2047 +L 1894 2003 +Q 2506 1872 2764 1633 +Q 3022 1394 3022 966 +Q 3022 478 2636 193 +Q 2250 -91 1575 -91 +Q 1294 -91 989 -36 +Q 684 19 347 128 +L 347 722 +Q 666 556 975 473 +Q 1284 391 1588 391 +Q 1994 391 2212 530 +Q 2431 669 2431 922 +Q 2431 1156 2273 1281 +Q 2116 1406 1581 1522 +L 1381 1569 +Q 847 1681 609 1914 +Q 372 2147 372 2553 +Q 372 3047 722 3315 +Q 1072 3584 1716 3584 +Q 2034 3584 2315 3537 +Q 2597 3491 2834 3397 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-46"/> + <use xlink:href="#DejaVuSans-61" x="48.394531"/> + <use xlink:href="#DejaVuSans-74" x="109.673828"/> + <use xlink:href="#DejaVuSans-61" x="148.882812"/> + <use xlink:href="#DejaVuSans-6c" x="210.162109"/> + <use xlink:href="#DejaVuSans-69" x="237.945312"/> + <use xlink:href="#DejaVuSans-74" x="265.728516"/> + <use xlink:href="#DejaVuSans-69" x="304.9375"/> + <use xlink:href="#DejaVuSans-65" x="332.720703"/> + <use xlink:href="#DejaVuSans-73" x="394.244141"/> + </g> + </g> + </g> + <g id="mpl_toolkits.axisartist.axis_artist_2"> + <defs> + <path id="m97a740580f" d="M 0 0 +L 3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m97a740580f" x="79.057708" y="369.36" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m97a740580f" x="79.057708" y="66.96" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m97a740580f" x="79.057708" y="170.91" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g> + <use xlink:href="#m97a740580f" x="79.057708" y="369.36" style="fill: none; stroke: #000000; stroke-width: 0.8"/> + </g> + <g id="text_6"> + <!-- 0 --> + <g transform="translate(65.377708 373.775)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + <g id="text_7"> + <!-- $1.1 * 10^{-2}$ --> + <g transform="translate(-1.722292 71.375)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2a" d="M 3009 3897 +L 1888 3291 +L 3009 2681 +L 2828 2375 +L 1778 3009 +L 1778 1831 +L 1422 1831 +L 1422 3009 +L 372 2375 +L 191 2681 +L 1313 3291 +L 191 3897 +L 372 4206 +L 1422 3572 +L 1422 4750 +L 1778 4750 +L 1778 3572 +L 2828 4206 +L 3009 3897 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-2e" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(95.410156 0.765625)"/> + <use xlink:href="#DejaVuSans-2a" transform="translate(178.515625 0.765625)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(247.998047 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(311.621094 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(376.201172 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(434.853516 39.046875)scale(0.7)"/> + </g> + </g> + <g id="text_8"> + <!-- $10^{-3}$ --> + <g transform="translate(37.957708 175.325)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(186.855469 39.046875)scale(0.7)"/> + </g> + </g> + <g id="text_9"> + <!-- 0 --> + <g transform="translate(65.377708 373.775)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + <g id="patch_4"> + <path d="M 79.057708 384.48 +L 79.057708 51.84 +L 79.057708 36.958034 +" style="fill: none; stroke: #000000; stroke-linecap: round"/> + <path d="M 75.857708 43.358034 +L 79.057708 36.958034 +L 82.257708 43.358034 +L 75.857708 43.358034 +z +" style="fill: #00a6d6; stroke: #000000; stroke-linecap: round"/> + </g> + <g id="text_10"> + <!-- Probability --> + <g transform="translate(-10.049792 260.44625)rotate(-90)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-50" d="M 1259 4147 +L 1259 2394 +L 2053 2394 +Q 2494 2394 2734 2622 +Q 2975 2850 2975 3272 +Q 2975 3691 2734 3919 +Q 2494 4147 2053 4147 +L 1259 4147 +z +M 628 4666 +L 2053 4666 +Q 2838 4666 3239 4311 +Q 3641 3956 3641 3272 +Q 3641 2581 3239 2228 +Q 2838 1875 2053 1875 +L 1259 1875 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-72" d="M 2631 2963 +Q 2534 3019 2420 3045 +Q 2306 3072 2169 3072 +Q 1681 3072 1420 2755 +Q 1159 2438 1159 1844 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1341 3275 1631 3429 +Q 1922 3584 2338 3584 +Q 2397 3584 2469 3576 +Q 2541 3569 2628 3553 +L 2631 2963 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6f" d="M 1959 3097 +Q 1497 3097 1228 2736 +Q 959 2375 959 1747 +Q 959 1119 1226 758 +Q 1494 397 1959 397 +Q 2419 397 2687 759 +Q 2956 1122 2956 1747 +Q 2956 2369 2687 2733 +Q 2419 3097 1959 3097 +z +M 1959 3584 +Q 2709 3584 3137 3096 +Q 3566 2609 3566 1747 +Q 3566 888 3137 398 +Q 2709 -91 1959 -91 +Q 1206 -91 779 398 +Q 353 888 353 1747 +Q 353 2609 779 3096 +Q 1206 3584 1959 3584 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-62" d="M 3116 1747 +Q 3116 2381 2855 2742 +Q 2594 3103 2138 3103 +Q 1681 3103 1420 2742 +Q 1159 2381 1159 1747 +Q 1159 1113 1420 752 +Q 1681 391 2138 391 +Q 2594 391 2855 752 +Q 3116 1113 3116 1747 +z +M 1159 2969 +Q 1341 3281 1617 3432 +Q 1894 3584 2278 3584 +Q 2916 3584 3314 3078 +Q 3713 2572 3713 1747 +Q 3713 922 3314 415 +Q 2916 -91 2278 -91 +Q 1894 -91 1617 61 +Q 1341 213 1159 525 +L 1159 0 +L 581 0 +L 581 4863 +L 1159 4863 +L 1159 2969 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-79" d="M 2059 -325 +Q 1816 -950 1584 -1140 +Q 1353 -1331 966 -1331 +L 506 -1331 +L 506 -850 +L 844 -850 +Q 1081 -850 1212 -737 +Q 1344 -625 1503 -206 +L 1606 56 +L 191 3500 +L 800 3500 +L 1894 763 +L 2988 3500 +L 3597 3500 +L 2059 -325 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-50"/> + <use xlink:href="#DejaVuSans-72" x="58.552734"/> + <use xlink:href="#DejaVuSans-6f" x="97.416016"/> + <use xlink:href="#DejaVuSans-62" x="158.597656"/> + <use xlink:href="#DejaVuSans-61" x="222.074219"/> + <use xlink:href="#DejaVuSans-62" x="283.353516"/> + <use xlink:href="#DejaVuSans-69" x="346.830078"/> + <use xlink:href="#DejaVuSans-6c" x="374.613281"/> + <use xlink:href="#DejaVuSans-69" x="402.396484"/> + <use xlink:href="#DejaVuSans-74" x="430.179688"/> + <use xlink:href="#DejaVuSans-79" x="469.388672"/> + </g> + </g> + </g> + <g id="text_11"> + <!-- FN curve, $1-F_{N}(n) = P(N > n)$ --> + <g transform="translate(265.584 45.84)scale(0.192 -0.192)"> + <defs> + <path id="DejaVuSans-4e" d="M 628 4666 +L 1478 4666 +L 3547 763 +L 3547 4666 +L 4159 4666 +L 4159 0 +L 3309 0 +L 1241 3903 +L 1241 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-63" d="M 3122 3366 +L 3122 2828 +Q 2878 2963 2633 3030 +Q 2388 3097 2138 3097 +Q 1578 3097 1268 2742 +Q 959 2388 959 1747 +Q 959 1106 1268 751 +Q 1578 397 2138 397 +Q 2388 397 2633 464 +Q 2878 531 3122 666 +L 3122 134 +Q 2881 22 2623 -34 +Q 2366 -91 2075 -91 +Q 1284 -91 818 406 +Q 353 903 353 1747 +Q 353 2603 823 3093 +Q 1294 3584 2113 3584 +Q 2378 3584 2631 3529 +Q 2884 3475 3122 3366 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-75" d="M 544 1381 +L 544 3500 +L 1119 3500 +L 1119 1403 +Q 1119 906 1312 657 +Q 1506 409 1894 409 +Q 2359 409 2629 706 +Q 2900 1003 2900 1516 +L 2900 3500 +L 3475 3500 +L 3475 0 +L 2900 0 +L 2900 538 +Q 2691 219 2414 64 +Q 2138 -91 1772 -91 +Q 1169 -91 856 284 +Q 544 659 544 1381 +z +M 1991 3584 +L 1991 3584 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-76" d="M 191 3500 +L 800 3500 +L 1894 563 +L 2988 3500 +L 3597 3500 +L 2284 0 +L 1503 0 +L 191 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2c" d="M 750 794 +L 1409 794 +L 1409 256 +L 897 -744 +L 494 -744 +L 750 256 +L 750 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-46" d="M 1081 4666 +L 3756 4666 +L 3653 4134 +L 1606 4134 +L 1338 2759 +L 3188 2759 +L 3084 2228 +L 1234 2228 +L 800 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-6e" d="M 3566 2113 +L 3156 0 +L 2578 0 +L 2988 2091 +Q 3016 2238 3031 2350 +Q 3047 2463 3047 2528 +Q 3047 2791 2881 2937 +Q 2716 3084 2419 3084 +Q 1956 3084 1622 2776 +Q 1288 2469 1184 1941 +L 800 0 +L 225 0 +L 903 3500 +L 1478 3500 +L 1363 2950 +Q 1603 3253 1940 3418 +Q 2278 3584 2650 3584 +Q 3113 3584 3367 3334 +Q 3622 3084 3622 2631 +Q 3622 2519 3608 2391 +Q 3594 2263 3566 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-3d" d="M 678 2906 +L 4684 2906 +L 4684 2381 +L 678 2381 +L 678 2906 +z +M 678 1631 +L 4684 1631 +L 4684 1100 +L 678 1100 +L 678 1631 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-50" d="M 1081 4666 +L 2541 4666 +Q 3178 4666 3512 4369 +Q 3847 4072 3847 3500 +Q 3847 2731 3353 2303 +Q 2859 1875 1966 1875 +L 1172 1875 +L 806 0 +L 172 0 +L 1081 4666 +z +M 1613 4147 +L 1275 2394 +L 2069 2394 +Q 2606 2394 2893 2669 +Q 3181 2944 3181 3456 +Q 3181 3784 2986 3965 +Q 2791 4147 2438 4147 +L 1613 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-3e" d="M 678 3150 +L 678 3719 +L 4684 2266 +L 4684 1747 +L 678 294 +L 678 863 +L 3897 2003 +L 678 3150 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-46" transform="translate(0 0.125)"/> + <use xlink:href="#DejaVuSans-4e" transform="translate(57.519531 0.125)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(132.324219 0.125)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(164.111328 0.125)"/> + <use xlink:href="#DejaVuSans-75" transform="translate(219.091797 0.125)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(282.470703 0.125)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(323.583984 0.125)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(382.763672 0.125)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(444.287109 0.125)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(476.074219 0.125)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(507.861328 0.125)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(590.966797 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-46" transform="translate(694.238281 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(751.757812 -16.28125)scale(0.7)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(806.855469 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(845.869141 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(909.248047 0.125)"/> + <use xlink:href="#DejaVuSans-3d" transform="translate(967.744141 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-50" transform="translate(1071.015625 0.125)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(1131.318359 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(1170.332031 0.125)"/> + <use xlink:href="#DejaVuSans-3e" transform="translate(1264.619141 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(1367.890625 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(1431.269531 0.125)"/> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="p2afb94e894"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/example-river-excavation-2.png b/book/figures/example-river-excavation-2.png new file mode 100644 index 0000000..55a31ee Binary files /dev/null and b/book/figures/example-river-excavation-2.png differ diff --git a/book/figures/example-river-excavation-3.PNG b/book/figures/example-river-excavation-3.PNG new file mode 100644 index 0000000..4bdc0ba Binary files /dev/null and b/book/figures/example-river-excavation-3.PNG differ diff --git a/book/figures/example-river-excavation.png b/book/figures/example-river-excavation.png new file mode 100644 index 0000000..c4a1477 Binary files /dev/null and b/book/figures/example-river-excavation.png differ diff --git a/book/figures/exercise-FN-curve.png b/book/figures/exercise-FN-curve.png new file mode 100644 index 0000000..841146c Binary files /dev/null and b/book/figures/exercise-FN-curve.png differ diff --git a/book/figures/exercise-dam-fn-limit-line.png b/book/figures/exercise-dam-fn-limit-line.png new file mode 100644 index 0000000..bde9712 Binary files /dev/null and b/book/figures/exercise-dam-fn-limit-line.png differ diff --git a/book/figures/exercise-decision-tree.png b/book/figures/exercise-decision-tree.png new file mode 100644 index 0000000..75bbfaa Binary files /dev/null and b/book/figures/exercise-decision-tree.png differ diff --git a/book/figures/exercise-optimization.png b/book/figures/exercise-optimization.png new file mode 100644 index 0000000..b31e233 Binary files /dev/null and b/book/figures/exercise-optimization.png differ diff --git a/book/figures/exercise-sample-exam-bay.png b/book/figures/exercise-sample-exam-bay.png new file mode 100644 index 0000000..9283059 Binary files /dev/null and b/book/figures/exercise-sample-exam-bay.png differ diff --git a/book/figures/exercise-sample-exam-failure-domain.png b/book/figures/exercise-sample-exam-failure-domain.png new file mode 100644 index 0000000..8f37e8d Binary files /dev/null and b/book/figures/exercise-sample-exam-failure-domain.png differ diff --git a/book/figures/exercise-sample-exam-limit-line.png b/book/figures/exercise-sample-exam-limit-line.png new file mode 100644 index 0000000..97bb772 Binary files /dev/null and b/book/figures/exercise-sample-exam-limit-line.png differ diff --git a/book/figures/exercise-sample-exam-mortality.png b/book/figures/exercise-sample-exam-mortality.png new file mode 100644 index 0000000..7fe10aa Binary files /dev/null and b/book/figures/exercise-sample-exam-mortality.png differ diff --git a/book/figures/exercise_sample_IR.png b/book/figures/exercise_sample_IR.png new file mode 100644 index 0000000..047a895 Binary files /dev/null and b/book/figures/exercise_sample_IR.png differ diff --git a/book/figures/exercise_sample_opt.png b/book/figures/exercise_sample_opt.png new file mode 100644 index 0000000..2caeda7 Binary files /dev/null and b/book/figures/exercise_sample_opt.png differ diff --git a/book/figures/flood-protection.png b/book/figures/flood-protection.png new file mode 100644 index 0000000..599ca30 Binary files /dev/null and b/book/figures/flood-protection.png differ diff --git a/book/figures/fn_limit.png b/book/figures/fn_limit.png new file mode 100644 index 0000000..e8cdf58 Binary files /dev/null and b/book/figures/fn_limit.png differ diff --git a/book/figures/fn_limit00.svg b/book/figures/fn_limit00.svg new file mode 100644 index 0000000..3ac47f2 --- /dev/null +++ b/book/figures/fn_limit00.svg @@ -0,0 +1,1509 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2024-02-19T21:44:42.049671</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.8.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="mb82716df17" d="M 0 0 +L 0 2 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#mb82716df17" x="105.594948" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#mb82716df17" x="125.246732" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#mb82716df17" x="139.189895" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#mb82716df17" x="150.005052" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <g> + <use xlink:href="#mb82716df17" x="158.84168" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#mb82716df17" x="166.312941" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_7"> + <g> + <use xlink:href="#mb82716df17" x="172.784843" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_8"> + <g> + <use xlink:href="#mb82716df17" x="178.493464" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_9"> + <g id="line2d_9"> + <g> + <use xlink:href="#mb82716df17" x="217.194948" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_10"> + <g id="line2d_10"> + <g> + <use xlink:href="#mb82716df17" x="236.846732" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_11"> + <g id="line2d_11"> + <g> + <use xlink:href="#mb82716df17" x="250.789895" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_12"> + <g id="line2d_12"> + <g> + <use xlink:href="#mb82716df17" x="261.605052" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_13"> + <g id="line2d_13"> + <g> + <use xlink:href="#mb82716df17" x="270.44168" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_14"> + <g id="line2d_14"> + <g> + <use xlink:href="#mb82716df17" x="277.912941" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_15"> + <g id="line2d_15"> + <g> + <use xlink:href="#mb82716df17" x="284.384843" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_16"> + <g id="line2d_16"> + <g> + <use xlink:href="#mb82716df17" x="290.093464" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_17"> + <g id="line2d_17"> + <g> + <use xlink:href="#mb82716df17" x="328.794948" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_18"> + <g id="line2d_18"> + <g> + <use xlink:href="#mb82716df17" x="348.446732" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_19"> + <g id="line2d_19"> + <g> + <use xlink:href="#mb82716df17" x="362.389895" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_20"> + <g id="line2d_20"> + <g> + <use xlink:href="#mb82716df17" x="373.205052" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_21"> + <g id="line2d_21"> + <g> + <use xlink:href="#mb82716df17" x="382.04168" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_22"> + <g id="line2d_22"> + <g> + <use xlink:href="#mb82716df17" x="389.512941" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_23"> + <g id="line2d_23"> + <g> + <use xlink:href="#mb82716df17" x="395.984843" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_24"> + <g id="line2d_24"> + <g> + <use xlink:href="#mb82716df17" x="401.693464" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_25"> + <g id="line2d_25"> + <g> + <use xlink:href="#mb82716df17" x="440.394948" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_26"> + <g id="line2d_26"> + <g> + <use xlink:href="#mb82716df17" x="460.046732" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_27"> + <g id="line2d_27"> + <g> + <use xlink:href="#mb82716df17" x="473.989895" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_28"> + <g id="line2d_28"> + <g> + <use xlink:href="#mb82716df17" x="484.805052" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_29"> + <g id="line2d_29"> + <g> + <use xlink:href="#mb82716df17" x="493.64168" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_30"> + <g id="line2d_30"> + <g> + <use xlink:href="#mb82716df17" x="501.112941" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_31"> + <g id="line2d_31"> + <g> + <use xlink:href="#mb82716df17" x="507.584843" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_32"> + <g id="line2d_32"> + <g> + <use xlink:href="#mb82716df17" x="513.293464" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_1"> + <!-- Fatalities, N [$-$] --> + <g transform="translate(239.52 405.4) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-46" d="M 525 0 +L 525 4581 +L 3616 4581 +L 3616 4041 +L 1131 4041 +L 1131 2622 +L 3281 2622 +L 3281 2081 +L 1131 2081 +L 1131 0 +L 525 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-61" d="M 2588 409 +Q 2275 144 1986 34 +Q 1697 -75 1366 -75 +Q 819 -75 525 192 +Q 231 459 231 875 +Q 231 1119 342 1320 +Q 453 1522 633 1644 +Q 813 1766 1038 1828 +Q 1203 1872 1538 1913 +Q 2219 1994 2541 2106 +Q 2544 2222 2544 2253 +Q 2544 2597 2384 2738 +Q 2169 2928 1744 2928 +Q 1347 2928 1158 2789 +Q 969 2650 878 2297 +L 328 2372 +Q 403 2725 575 2942 +Q 747 3159 1072 3276 +Q 1397 3394 1825 3394 +Q 2250 3394 2515 3294 +Q 2781 3194 2906 3042 +Q 3031 2891 3081 2659 +Q 3109 2516 3109 2141 +L 3109 1391 +Q 3109 606 3145 398 +Q 3181 191 3288 0 +L 2700 0 +Q 2613 175 2588 409 +z +M 2541 1666 +Q 2234 1541 1622 1453 +Q 1275 1403 1131 1340 +Q 988 1278 909 1158 +Q 831 1038 831 891 +Q 831 666 1001 516 +Q 1172 366 1500 366 +Q 1825 366 2078 508 +Q 2331 650 2450 897 +Q 2541 1088 2541 1459 +L 2541 1666 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-74" d="M 1650 503 +L 1731 6 +Q 1494 -44 1306 -44 +Q 1000 -44 831 53 +Q 663 150 594 308 +Q 525 466 525 972 +L 525 2881 +L 113 2881 +L 113 3319 +L 525 3319 +L 525 4141 +L 1084 4478 +L 1084 3319 +L 1650 3319 +L 1650 2881 +L 1084 2881 +L 1084 941 +Q 1084 700 1114 631 +Q 1144 563 1211 522 +Q 1278 481 1403 481 +Q 1497 481 1650 503 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6c" d="M 409 0 +L 409 4581 +L 972 4581 +L 972 0 +L 409 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-69" d="M 425 3934 +L 425 4581 +L 988 4581 +L 988 3934 +L 425 3934 +z +M 425 0 +L 425 3319 +L 988 3319 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-65" d="M 2694 1069 +L 3275 997 +Q 3138 488 2766 206 +Q 2394 -75 1816 -75 +Q 1088 -75 661 373 +Q 234 822 234 1631 +Q 234 2469 665 2931 +Q 1097 3394 1784 3394 +Q 2450 3394 2872 2941 +Q 3294 2488 3294 1666 +Q 3294 1616 3291 1516 +L 816 1516 +Q 847 969 1125 678 +Q 1403 388 1819 388 +Q 2128 388 2347 550 +Q 2566 713 2694 1069 +z +M 847 1978 +L 2700 1978 +Q 2663 2397 2488 2606 +Q 2219 2931 1791 2931 +Q 1403 2931 1139 2672 +Q 875 2413 847 1978 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-73" d="M 197 991 +L 753 1078 +Q 800 744 1014 566 +Q 1228 388 1613 388 +Q 2000 388 2187 545 +Q 2375 703 2375 916 +Q 2375 1106 2209 1216 +Q 2094 1291 1634 1406 +Q 1016 1563 777 1677 +Q 538 1791 414 1992 +Q 291 2194 291 2438 +Q 291 2659 392 2848 +Q 494 3038 669 3163 +Q 800 3259 1026 3326 +Q 1253 3394 1513 3394 +Q 1903 3394 2198 3281 +Q 2494 3169 2634 2976 +Q 2775 2784 2828 2463 +L 2278 2388 +Q 2241 2644 2061 2787 +Q 1881 2931 1553 2931 +Q 1166 2931 1000 2803 +Q 834 2675 834 2503 +Q 834 2394 903 2306 +Q 972 2216 1119 2156 +Q 1203 2125 1616 2013 +Q 2213 1853 2448 1751 +Q 2684 1650 2818 1456 +Q 2953 1263 2953 975 +Q 2953 694 2789 445 +Q 2625 197 2315 61 +Q 2006 -75 1616 -75 +Q 969 -75 630 194 +Q 291 463 197 991 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-2c" d="M 569 0 +L 569 641 +L 1209 641 +L 1209 0 +Q 1209 -353 1084 -570 +Q 959 -788 688 -906 +L 531 -666 +Q 709 -588 793 -436 +Q 878 -284 888 0 +L 569 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-20" transform="scale(0.015625)"/> + <path id="ArialMT-4e" d="M 488 0 +L 488 4581 +L 1109 4581 +L 3516 984 +L 3516 4581 +L 4097 4581 +L 4097 0 +L 3475 0 +L 1069 3600 +L 1069 0 +L 488 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5b" d="M 434 -1272 +L 434 4581 +L 1675 4581 +L 1675 4116 +L 997 4116 +L 997 -806 +L 1675 -806 +L 1675 -1272 +L 434 -1272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5d" d="M 1363 -1272 +L 122 -1272 +L 122 -806 +L 800 -806 +L 800 4116 +L 122 4116 +L 122 4581 +L 1363 4581 +L 1363 -1272 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-46" transform="translate(0 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(61.083984 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(116.699219 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(144.482422 0.421875)"/> + <use xlink:href="#ArialMT-6c" transform="translate(200.097656 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(222.314453 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(244.53125 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(272.314453 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(294.53125 0.421875)"/> + <use xlink:href="#ArialMT-73" transform="translate(350.146484 0.421875)"/> + <use xlink:href="#ArialMT-2c" transform="translate(400.146484 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(427.929688 0.421875)"/> + <use xlink:href="#ArialMT-4e" transform="translate(455.712891 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(527.929688 0.421875)"/> + <use xlink:href="#ArialMT-5b" transform="translate(555.712891 0.421875)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(583.496094 0.421875)"/> + <use xlink:href="#ArialMT-5d" transform="translate(667.285156 0.421875)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_33"> + <defs> + <path id="mba2ecb825e" d="M 0 0 +L -2 0 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="364.453076" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_34"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="352.738077" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_35"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="344.426153" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_36"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="337.978924" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_37"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="332.711154" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_38"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="328.257318" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_39"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="324.399229" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_40"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="320.996154" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_9"> + <g id="line2d_41"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="297.925076" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_10"> + <g id="line2d_42"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="286.210077" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_11"> + <g id="line2d_43"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="277.898153" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_12"> + <g id="line2d_44"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="271.450924" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_13"> + <g id="line2d_45"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="266.183154" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_14"> + <g id="line2d_46"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="261.729318" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_15"> + <g id="line2d_47"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="257.871229" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_16"> + <g id="line2d_48"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="254.468154" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_17"> + <g id="line2d_49"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="231.397076" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_18"> + <g id="line2d_50"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="219.682077" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_19"> + <g id="line2d_51"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="211.370153" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_20"> + <g id="line2d_52"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="204.922924" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_21"> + <g id="line2d_53"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="199.655154" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_22"> + <g id="line2d_54"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="195.201318" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_23"> + <g id="line2d_55"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="191.343229" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_24"> + <g id="line2d_56"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="187.940154" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_25"> + <g id="line2d_57"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="164.869076" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_26"> + <g id="line2d_58"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="153.154077" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_27"> + <g id="line2d_59"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="144.842153" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_28"> + <g id="line2d_60"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="138.394924" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_29"> + <g id="line2d_61"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="133.127154" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_30"> + <g id="line2d_62"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="128.673318" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_31"> + <g id="line2d_63"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="124.815229" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_32"> + <g id="line2d_64"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="121.412154" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_33"> + <g id="line2d_65"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="98.341076" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_34"> + <g id="line2d_66"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="86.626077" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_35"> + <g id="line2d_67"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="78.314153" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_36"> + <g id="line2d_68"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="71.866924" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_37"> + <g id="line2d_69"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="66.599154" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_38"> + <g id="line2d_70"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="62.145318" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_39"> + <g id="line2d_71"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="58.287229" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_40"> + <g id="line2d_72"> + <g> + <use xlink:href="#mba2ecb825e" x="72" y="54.884154" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_2"> + <!-- Probability of Exceedance, $1-F_N(n)$ [$-$] --> + <g transform="translate(59.08 363.76) rotate(-90) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-50" d="M 494 0 +L 494 4581 +L 2222 4581 +Q 2678 4581 2919 4538 +Q 3256 4481 3484 4323 +Q 3713 4166 3852 3881 +Q 3991 3597 3991 3256 +Q 3991 2672 3619 2267 +Q 3247 1863 2275 1863 +L 1100 1863 +L 1100 0 +L 494 0 +z +M 1100 2403 +L 2284 2403 +Q 2872 2403 3119 2622 +Q 3366 2841 3366 3238 +Q 3366 3525 3220 3729 +Q 3075 3934 2838 4000 +Q 2684 4041 2272 4041 +L 1100 4041 +L 1100 2403 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-72" d="M 416 0 +L 416 3319 +L 922 3319 +L 922 2816 +Q 1116 3169 1280 3281 +Q 1444 3394 1641 3394 +Q 1925 3394 2219 3213 +L 2025 2691 +Q 1819 2813 1613 2813 +Q 1428 2813 1281 2702 +Q 1134 2591 1072 2394 +Q 978 2094 978 1738 +L 978 0 +L 416 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6f" d="M 213 1659 +Q 213 2581 725 3025 +Q 1153 3394 1769 3394 +Q 2453 3394 2887 2945 +Q 3322 2497 3322 1706 +Q 3322 1066 3130 698 +Q 2938 331 2570 128 +Q 2203 -75 1769 -75 +Q 1072 -75 642 372 +Q 213 819 213 1659 +z +M 791 1659 +Q 791 1022 1069 705 +Q 1347 388 1769 388 +Q 2188 388 2466 706 +Q 2744 1025 2744 1678 +Q 2744 2294 2464 2611 +Q 2184 2928 1769 2928 +Q 1347 2928 1069 2612 +Q 791 2297 791 1659 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-62" d="M 941 0 +L 419 0 +L 419 4581 +L 981 4581 +L 981 2947 +Q 1338 3394 1891 3394 +Q 2197 3394 2470 3270 +Q 2744 3147 2920 2923 +Q 3097 2700 3197 2384 +Q 3297 2069 3297 1709 +Q 3297 856 2875 390 +Q 2453 -75 1863 -75 +Q 1275 -75 941 416 +L 941 0 +z +M 934 1684 +Q 934 1088 1097 822 +Q 1363 388 1816 388 +Q 2184 388 2453 708 +Q 2722 1028 2722 1663 +Q 2722 2313 2464 2622 +Q 2206 2931 1841 2931 +Q 1472 2931 1203 2611 +Q 934 2291 934 1684 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-79" d="M 397 -1278 +L 334 -750 +Q 519 -800 656 -800 +Q 844 -800 956 -737 +Q 1069 -675 1141 -563 +Q 1194 -478 1313 -144 +Q 1328 -97 1363 -6 +L 103 3319 +L 709 3319 +L 1400 1397 +Q 1534 1031 1641 628 +Q 1738 1016 1872 1384 +L 2581 3319 +L 3144 3319 +L 1881 -56 +Q 1678 -603 1566 -809 +Q 1416 -1088 1222 -1217 +Q 1028 -1347 759 -1347 +Q 597 -1347 397 -1278 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-66" d="M 556 0 +L 556 2881 +L 59 2881 +L 59 3319 +L 556 3319 +L 556 3672 +Q 556 4006 616 4169 +Q 697 4388 901 4523 +Q 1106 4659 1475 4659 +Q 1713 4659 2000 4603 +L 1916 4113 +Q 1741 4144 1584 4144 +Q 1328 4144 1222 4034 +Q 1116 3925 1116 3625 +L 1116 3319 +L 1763 3319 +L 1763 2881 +L 1116 2881 +L 1116 0 +L 556 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-45" d="M 506 0 +L 506 4581 +L 3819 4581 +L 3819 4041 +L 1113 4041 +L 1113 2638 +L 3647 2638 +L 3647 2100 +L 1113 2100 +L 1113 541 +L 3925 541 +L 3925 0 +L 506 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-78" d="M 47 0 +L 1259 1725 +L 138 3319 +L 841 3319 +L 1350 2541 +Q 1494 2319 1581 2169 +Q 1719 2375 1834 2534 +L 2394 3319 +L 3066 3319 +L 1919 1756 +L 3153 0 +L 2463 0 +L 1781 1031 +L 1600 1309 +L 728 0 +L 47 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-63" d="M 2588 1216 +L 3141 1144 +Q 3050 572 2676 248 +Q 2303 -75 1759 -75 +Q 1078 -75 664 370 +Q 250 816 250 1647 +Q 250 2184 428 2587 +Q 606 2991 970 3192 +Q 1334 3394 1763 3394 +Q 2303 3394 2647 3120 +Q 2991 2847 3088 2344 +L 2541 2259 +Q 2463 2594 2264 2762 +Q 2066 2931 1784 2931 +Q 1359 2931 1093 2626 +Q 828 2322 828 1663 +Q 828 994 1084 691 +Q 1341 388 1753 388 +Q 2084 388 2306 591 +Q 2528 794 2588 1216 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-64" d="M 2575 0 +L 2575 419 +Q 2259 -75 1647 -75 +Q 1250 -75 917 144 +Q 584 363 401 755 +Q 219 1147 219 1656 +Q 219 2153 384 2558 +Q 550 2963 881 3178 +Q 1213 3394 1622 3394 +Q 1922 3394 2156 3267 +Q 2391 3141 2538 2938 +L 2538 4581 +L 3097 4581 +L 3097 0 +L 2575 0 +z +M 797 1656 +Q 797 1019 1065 703 +Q 1334 388 1700 388 +Q 2069 388 2326 689 +Q 2584 991 2584 1609 +Q 2584 2291 2321 2609 +Q 2059 2928 1675 2928 +Q 1300 2928 1048 2622 +Q 797 2316 797 1656 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6e" d="M 422 0 +L 422 3319 +L 928 3319 +L 928 2847 +Q 1294 3394 1984 3394 +Q 2284 3394 2536 3286 +Q 2788 3178 2913 3003 +Q 3038 2828 3088 2588 +Q 3119 2431 3119 2041 +L 3119 0 +L 2556 0 +L 2556 2019 +Q 2556 2363 2490 2533 +Q 2425 2703 2258 2804 +Q 2091 2906 1866 2906 +Q 1506 2906 1245 2678 +Q 984 2450 984 1813 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-46" d="M 1081 4666 +L 3756 4666 +L 3653 4134 +L 1606 4134 +L 1338 2759 +L 3188 2759 +L 3084 2228 +L 1234 2228 +L 800 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-6e" d="M 3566 2113 +L 3156 0 +L 2578 0 +L 2988 2091 +Q 3016 2238 3031 2350 +Q 3047 2463 3047 2528 +Q 3047 2791 2881 2937 +Q 2716 3084 2419 3084 +Q 1956 3084 1622 2776 +Q 1288 2469 1184 1941 +L 800 0 +L 225 0 +L 903 3500 +L 1478 3500 +L 1363 2950 +Q 1603 3253 1940 3418 +Q 2278 3584 2650 3584 +Q 3113 3584 3367 3334 +Q 3622 3084 3622 2631 +Q 3622 2519 3608 2391 +Q 3594 2263 3566 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-50" transform="translate(0 0.125)"/> + <use xlink:href="#ArialMT-72" transform="translate(66.699219 0.125)"/> + <use xlink:href="#ArialMT-6f" transform="translate(100 0.125)"/> + <use xlink:href="#ArialMT-62" transform="translate(155.615234 0.125)"/> + <use xlink:href="#ArialMT-61" transform="translate(211.230469 0.125)"/> + <use xlink:href="#ArialMT-62" transform="translate(266.845703 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(322.460938 0.125)"/> + <use xlink:href="#ArialMT-6c" transform="translate(344.677734 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(366.894531 0.125)"/> + <use xlink:href="#ArialMT-74" transform="translate(389.111328 0.125)"/> + <use xlink:href="#ArialMT-79" transform="translate(416.894531 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(466.894531 0.125)"/> + <use xlink:href="#ArialMT-6f" transform="translate(494.677734 0.125)"/> + <use xlink:href="#ArialMT-66" transform="translate(550.292969 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(578.076172 0.125)"/> + <use xlink:href="#ArialMT-45" transform="translate(605.859375 0.125)"/> + <use xlink:href="#ArialMT-78" transform="translate(672.558594 0.125)"/> + <use xlink:href="#ArialMT-63" transform="translate(722.558594 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(772.558594 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(828.173828 0.125)"/> + <use xlink:href="#ArialMT-64" transform="translate(883.789062 0.125)"/> + <use xlink:href="#ArialMT-61" transform="translate(939.404297 0.125)"/> + <use xlink:href="#ArialMT-6e" transform="translate(995.019531 0.125)"/> + <use xlink:href="#ArialMT-63" transform="translate(1050.634766 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(1100.634766 0.125)"/> + <use xlink:href="#ArialMT-2c" transform="translate(1156.25 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(1184.033203 0.125)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(1211.816406 0.125)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1294.921875 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-46" transform="translate(1398.193359 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(1455.712891 -16.28125) scale(0.7)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(1510.810547 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(1549.824219 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(1613.203125 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(1652.216797 0.125)"/> + <use xlink:href="#ArialMT-5b" transform="translate(1680 0.125)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1707.783203 0.125)"/> + <use xlink:href="#ArialMT-5d" transform="translate(1791.572266 0.125)"/> + </g> + </g> + </g> + <g id="line2d_73"> + <path d="M 72 184.896 +L 166.312941 184.896 +L 166.312941 199.655154 +L 217.194948 199.655154 +L 217.194948 219.682077 +L 250.789895 219.682077 +L 250.789895 251.424 +L 270.44168 251.424 +L 270.44168 278.042979 +L 295.2 278.042979 +L 295.2 298.215458 +L 317.97979 298.215458 +L 317.97979 318.535712 +L 328.794948 318.535712 +L 328.794948 399.239154 +L 348.446732 399.239154 +L 348.446732 433 +" clip-path="url(#p50e062e01b)" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="line2d_74"> + <path d="M 72 83.854799 +L 518.4 396.004175 +" clip-path="url(#p50e062e01b)" style="fill: none; stroke-dasharray: 4,6.6; stroke-dashoffset: 0; stroke: #0c2340; stroke-width: 4"/> + </g> + <g id="line2d_75"> + <path d="M 72 138.394924 +L 150.005052 138.394924 +L 406.8 317.952 +L 406.8 384.48 +" clip-path="url(#p50e062e01b)" style="fill: none; stroke: #0c2340; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 72 384.48 +L 72 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 518.4 384.48 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 72 384.48 +L 518.4 384.48 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 72 51.84 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="legend_1"> + <g id="patch_7"> + <path d="M 299.78 132.5375 +L 507.2 132.5375 +Q 510.4 132.5375 510.4 129.3375 +L 510.4 63.04 +Q 510.4 59.84 507.2 59.84 +L 299.78 59.84 +Q 296.58 59.84 296.58 63.04 +L 296.58 129.3375 +Q 296.58 132.5375 299.78 132.5375 +z +" style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/> + </g> + <g id="line2d_76"> + <path d="M 302.98 72.0925 +L 318.98 72.0925 +L 318.98 72.0925 +L 334.98 72.0925 +L 334.98 72.0925 +" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_3"> + <!-- Risk Curve --> + <g transform="translate(347.78 77.6925) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-52" d="M 503 0 +L 503 4581 +L 2534 4581 +Q 3147 4581 3465 4457 +Q 3784 4334 3975 4021 +Q 4166 3709 4166 3331 +Q 4166 2844 3850 2509 +Q 3534 2175 2875 2084 +Q 3116 1969 3241 1856 +Q 3506 1613 3744 1247 +L 4541 0 +L 3778 0 +L 3172 953 +Q 2906 1366 2734 1584 +Q 2563 1803 2427 1890 +Q 2291 1978 2150 2013 +Q 2047 2034 1813 2034 +L 1109 2034 +L 1109 0 +L 503 0 +z +M 1109 2559 +L 2413 2559 +Q 2828 2559 3062 2645 +Q 3297 2731 3419 2920 +Q 3541 3109 3541 3331 +Q 3541 3656 3305 3865 +Q 3069 4075 2559 4075 +L 1109 4075 +L 1109 2559 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6b" d="M 425 0 +L 425 4581 +L 988 4581 +L 988 1969 +L 2319 3319 +L 3047 3319 +L 1778 2088 +L 3175 0 +L 2481 0 +L 1384 1697 +L 988 1316 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-43" d="M 3763 1606 +L 4369 1453 +Q 4178 706 3683 314 +Q 3188 -78 2472 -78 +Q 1731 -78 1267 223 +Q 803 525 561 1097 +Q 319 1669 319 2325 +Q 319 3041 592 3573 +Q 866 4106 1370 4382 +Q 1875 4659 2481 4659 +Q 3169 4659 3637 4309 +Q 4106 3959 4291 3325 +L 3694 3184 +Q 3534 3684 3231 3912 +Q 2928 4141 2469 4141 +Q 1941 4141 1586 3887 +Q 1231 3634 1087 3207 +Q 944 2781 944 2328 +Q 944 1744 1114 1308 +Q 1284 872 1643 656 +Q 2003 441 2422 441 +Q 2931 441 3284 734 +Q 3638 1028 3763 1606 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-75" d="M 2597 0 +L 2597 488 +Q 2209 -75 1544 -75 +Q 1250 -75 995 37 +Q 741 150 617 320 +Q 494 491 444 738 +Q 409 903 409 1263 +L 409 3319 +L 972 3319 +L 972 1478 +Q 972 1038 1006 884 +Q 1059 663 1231 536 +Q 1403 409 1656 409 +Q 1909 409 2131 539 +Q 2353 669 2445 892 +Q 2538 1116 2538 1541 +L 2538 3319 +L 3100 3319 +L 3100 0 +L 2597 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-76" d="M 1344 0 +L 81 3319 +L 675 3319 +L 1388 1331 +Q 1503 1009 1600 663 +Q 1675 925 1809 1294 +L 2547 3319 +L 3125 3319 +L 1869 0 +L 1344 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-52"/> + <use xlink:href="#ArialMT-69" x="72.216797"/> + <use xlink:href="#ArialMT-73" x="94.433594"/> + <use xlink:href="#ArialMT-6b" x="144.433594"/> + <use xlink:href="#ArialMT-20" x="194.433594"/> + <use xlink:href="#ArialMT-43" x="222.216797"/> + <use xlink:href="#ArialMT-75" x="294.433594"/> + <use xlink:href="#ArialMT-72" x="350.048828"/> + <use xlink:href="#ArialMT-76" x="383.349609"/> + <use xlink:href="#ArialMT-65" x="433.349609"/> + </g> + </g> + <g id="line2d_77"> + <path d="M 302.98 94.725 +L 318.98 94.725 +L 334.98 94.725 +" style="fill: none; stroke-dasharray: 4,6.6; stroke-dashoffset: 0; stroke: #0c2340; stroke-width: 4"/> + </g> + <g id="text_4"> + <!-- Limit Line --> + <g transform="translate(347.78 100.325) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-4c" d="M 469 0 +L 469 4581 +L 1075 4581 +L 1075 541 +L 3331 541 +L 3331 0 +L 469 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6d" d="M 422 0 +L 422 3319 +L 925 3319 +L 925 2853 +Q 1081 3097 1340 3245 +Q 1600 3394 1931 3394 +Q 2300 3394 2536 3241 +Q 2772 3088 2869 2813 +Q 3263 3394 3894 3394 +Q 4388 3394 4653 3120 +Q 4919 2847 4919 2278 +L 4919 0 +L 4359 0 +L 4359 2091 +Q 4359 2428 4304 2576 +Q 4250 2725 4106 2815 +Q 3963 2906 3769 2906 +Q 3419 2906 3187 2673 +Q 2956 2441 2956 1928 +L 2956 0 +L 2394 0 +L 2394 2156 +Q 2394 2531 2256 2718 +Q 2119 2906 1806 2906 +Q 1569 2906 1367 2781 +Q 1166 2656 1075 2415 +Q 984 2175 984 1722 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-4c"/> + <use xlink:href="#ArialMT-69" x="55.615234"/> + <use xlink:href="#ArialMT-6d" x="77.832031"/> + <use xlink:href="#ArialMT-69" x="161.132812"/> + <use xlink:href="#ArialMT-74" x="183.349609"/> + <use xlink:href="#ArialMT-20" x="211.132812"/> + <use xlink:href="#ArialMT-4c" x="238.916016"/> + <use xlink:href="#ArialMT-69" x="294.53125"/> + <use xlink:href="#ArialMT-6e" x="316.748047"/> + <use xlink:href="#ArialMT-65" x="372.363281"/> + </g> + </g> + <g id="line2d_78"> + <path d="M 302.98 117.3575 +L 318.98 117.3575 +L 334.98 117.3575 +" style="fill: none; stroke: #0c2340; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_5"> + <!-- Limit Line with Cutoffs --> + <g transform="translate(347.78 122.9575) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-77" d="M 1034 0 +L 19 3319 +L 600 3319 +L 1128 1403 +L 1325 691 +Q 1338 744 1497 1375 +L 2025 3319 +L 2603 3319 +L 3100 1394 +L 3266 759 +L 3456 1400 +L 4025 3319 +L 4572 3319 +L 3534 0 +L 2950 0 +L 2422 1988 +L 2294 2553 +L 1622 0 +L 1034 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-68" d="M 422 0 +L 422 4581 +L 984 4581 +L 984 2938 +Q 1378 3394 1978 3394 +Q 2347 3394 2619 3248 +Q 2891 3103 3008 2847 +Q 3125 2591 3125 2103 +L 3125 0 +L 2563 0 +L 2563 2103 +Q 2563 2525 2380 2717 +Q 2197 2909 1863 2909 +Q 1613 2909 1392 2779 +Q 1172 2650 1078 2428 +Q 984 2206 984 1816 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-4c"/> + <use xlink:href="#ArialMT-69" x="55.615234"/> + <use xlink:href="#ArialMT-6d" x="77.832031"/> + <use xlink:href="#ArialMT-69" x="161.132812"/> + <use xlink:href="#ArialMT-74" x="183.349609"/> + <use xlink:href="#ArialMT-20" x="211.132812"/> + <use xlink:href="#ArialMT-4c" x="238.916016"/> + <use xlink:href="#ArialMT-69" x="294.53125"/> + <use xlink:href="#ArialMT-6e" x="316.748047"/> + <use xlink:href="#ArialMT-65" x="372.363281"/> + <use xlink:href="#ArialMT-20" x="427.978516"/> + <use xlink:href="#ArialMT-77" x="455.761719"/> + <use xlink:href="#ArialMT-69" x="527.978516"/> + <use xlink:href="#ArialMT-74" x="550.195312"/> + <use xlink:href="#ArialMT-68" x="577.978516"/> + <use xlink:href="#ArialMT-20" x="633.59375"/> + <use xlink:href="#ArialMT-43" x="661.376953"/> + <use xlink:href="#ArialMT-75" x="733.59375"/> + <use xlink:href="#ArialMT-74" x="789.208984"/> + <use xlink:href="#ArialMT-6f" x="816.992188"/> + <use xlink:href="#ArialMT-66" x="872.607422"/> + <use xlink:href="#ArialMT-66" x="898.640625"/> + <use xlink:href="#ArialMT-73" x="926.423828"/> + </g> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="p50e062e01b"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/fn_limit01.svg b/book/figures/fn_limit01.svg new file mode 100644 index 0000000..3fd53d6 --- /dev/null +++ b/book/figures/fn_limit01.svg @@ -0,0 +1,1910 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2024-02-19T08:49:32.175018</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.8.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <path d="M 72 384.48 +L 72 51.84 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_2"> + <defs> + <path id="m4f3e401d82" d="M 0 0 +L 0 8 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#m4f3e401d82" x="72" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_1"> + <!-- $\mathdefault{10^{0}}$ --> + <g transform="translate(60.56 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(128.203125 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_3"> + <path d="M 220.8 384.48 +L 220.8 51.84 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_4"> + <g> + <use xlink:href="#m4f3e401d82" x="220.8" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_2"> + <!-- $\mathdefault{10^{1}}$ --> + <g transform="translate(209.36 405.857969) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(128.203125 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_5"> + <path d="M 369.6 384.48 +L 369.6 51.84 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_6"> + <g> + <use xlink:href="#m4f3e401d82" x="369.6" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_3"> + <!-- $\mathdefault{10^{2}}$ --> + <g transform="translate(358.16 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(128.203125 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_7"> + <path d="M 518.4 384.48 +L 518.4 51.84 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_8"> + <g> + <use xlink:href="#m4f3e401d82" x="518.4" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_4"> + <!-- $\mathdefault{10^{3}}$ --> + <g transform="translate(506.96 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(128.203125 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_9"> + <defs> + <path id="m29d7178700" d="M 0 0 +L 0 2 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#m29d7178700" x="116.793263" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_10"> + <g> + <use xlink:href="#m29d7178700" x="142.995643" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_11"> + <g> + <use xlink:href="#m29d7178700" x="161.586527" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_12"> + <g> + <use xlink:href="#m29d7178700" x="176.006737" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_9"> + <g id="line2d_13"> + <g> + <use xlink:href="#m29d7178700" x="187.788906" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_10"> + <g id="line2d_14"> + <g> + <use xlink:href="#m29d7178700" x="197.750588" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_11"> + <g id="line2d_15"> + <g> + <use xlink:href="#m29d7178700" x="206.37979" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_12"> + <g id="line2d_16"> + <g> + <use xlink:href="#m29d7178700" x="213.991285" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_13"> + <g id="line2d_17"> + <g> + <use xlink:href="#m29d7178700" x="265.593263" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_14"> + <g id="line2d_18"> + <g> + <use xlink:href="#m29d7178700" x="291.795643" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_15"> + <g id="line2d_19"> + <g> + <use xlink:href="#m29d7178700" x="310.386527" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_16"> + <g id="line2d_20"> + <g> + <use xlink:href="#m29d7178700" x="324.806737" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_17"> + <g id="line2d_21"> + <g> + <use xlink:href="#m29d7178700" x="336.588906" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_18"> + <g id="line2d_22"> + <g> + <use xlink:href="#m29d7178700" x="346.550588" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_19"> + <g id="line2d_23"> + <g> + <use xlink:href="#m29d7178700" x="355.17979" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_20"> + <g id="line2d_24"> + <g> + <use xlink:href="#m29d7178700" x="362.791285" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_21"> + <g id="line2d_25"> + <g> + <use xlink:href="#m29d7178700" x="414.393263" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_22"> + <g id="line2d_26"> + <g> + <use xlink:href="#m29d7178700" x="440.595643" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_23"> + <g id="line2d_27"> + <g> + <use xlink:href="#m29d7178700" x="459.186527" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_24"> + <g id="line2d_28"> + <g> + <use xlink:href="#m29d7178700" x="473.606737" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_25"> + <g id="line2d_29"> + <g> + <use xlink:href="#m29d7178700" x="485.388906" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_26"> + <g id="line2d_30"> + <g> + <use xlink:href="#m29d7178700" x="495.350588" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_27"> + <g id="line2d_31"> + <g> + <use xlink:href="#m29d7178700" x="503.97979" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_28"> + <g id="line2d_32"> + <g> + <use xlink:href="#m29d7178700" x="511.591285" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_5"> + <!-- Fatalities, N [$-$] --> + <g transform="translate(239.52 424.081563) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-46" d="M 525 0 +L 525 4581 +L 3616 4581 +L 3616 4041 +L 1131 4041 +L 1131 2622 +L 3281 2622 +L 3281 2081 +L 1131 2081 +L 1131 0 +L 525 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-61" d="M 2588 409 +Q 2275 144 1986 34 +Q 1697 -75 1366 -75 +Q 819 -75 525 192 +Q 231 459 231 875 +Q 231 1119 342 1320 +Q 453 1522 633 1644 +Q 813 1766 1038 1828 +Q 1203 1872 1538 1913 +Q 2219 1994 2541 2106 +Q 2544 2222 2544 2253 +Q 2544 2597 2384 2738 +Q 2169 2928 1744 2928 +Q 1347 2928 1158 2789 +Q 969 2650 878 2297 +L 328 2372 +Q 403 2725 575 2942 +Q 747 3159 1072 3276 +Q 1397 3394 1825 3394 +Q 2250 3394 2515 3294 +Q 2781 3194 2906 3042 +Q 3031 2891 3081 2659 +Q 3109 2516 3109 2141 +L 3109 1391 +Q 3109 606 3145 398 +Q 3181 191 3288 0 +L 2700 0 +Q 2613 175 2588 409 +z +M 2541 1666 +Q 2234 1541 1622 1453 +Q 1275 1403 1131 1340 +Q 988 1278 909 1158 +Q 831 1038 831 891 +Q 831 666 1001 516 +Q 1172 366 1500 366 +Q 1825 366 2078 508 +Q 2331 650 2450 897 +Q 2541 1088 2541 1459 +L 2541 1666 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-74" d="M 1650 503 +L 1731 6 +Q 1494 -44 1306 -44 +Q 1000 -44 831 53 +Q 663 150 594 308 +Q 525 466 525 972 +L 525 2881 +L 113 2881 +L 113 3319 +L 525 3319 +L 525 4141 +L 1084 4478 +L 1084 3319 +L 1650 3319 +L 1650 2881 +L 1084 2881 +L 1084 941 +Q 1084 700 1114 631 +Q 1144 563 1211 522 +Q 1278 481 1403 481 +Q 1497 481 1650 503 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6c" d="M 409 0 +L 409 4581 +L 972 4581 +L 972 0 +L 409 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-69" d="M 425 3934 +L 425 4581 +L 988 4581 +L 988 3934 +L 425 3934 +z +M 425 0 +L 425 3319 +L 988 3319 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-65" d="M 2694 1069 +L 3275 997 +Q 3138 488 2766 206 +Q 2394 -75 1816 -75 +Q 1088 -75 661 373 +Q 234 822 234 1631 +Q 234 2469 665 2931 +Q 1097 3394 1784 3394 +Q 2450 3394 2872 2941 +Q 3294 2488 3294 1666 +Q 3294 1616 3291 1516 +L 816 1516 +Q 847 969 1125 678 +Q 1403 388 1819 388 +Q 2128 388 2347 550 +Q 2566 713 2694 1069 +z +M 847 1978 +L 2700 1978 +Q 2663 2397 2488 2606 +Q 2219 2931 1791 2931 +Q 1403 2931 1139 2672 +Q 875 2413 847 1978 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-73" d="M 197 991 +L 753 1078 +Q 800 744 1014 566 +Q 1228 388 1613 388 +Q 2000 388 2187 545 +Q 2375 703 2375 916 +Q 2375 1106 2209 1216 +Q 2094 1291 1634 1406 +Q 1016 1563 777 1677 +Q 538 1791 414 1992 +Q 291 2194 291 2438 +Q 291 2659 392 2848 +Q 494 3038 669 3163 +Q 800 3259 1026 3326 +Q 1253 3394 1513 3394 +Q 1903 3394 2198 3281 +Q 2494 3169 2634 2976 +Q 2775 2784 2828 2463 +L 2278 2388 +Q 2241 2644 2061 2787 +Q 1881 2931 1553 2931 +Q 1166 2931 1000 2803 +Q 834 2675 834 2503 +Q 834 2394 903 2306 +Q 972 2216 1119 2156 +Q 1203 2125 1616 2013 +Q 2213 1853 2448 1751 +Q 2684 1650 2818 1456 +Q 2953 1263 2953 975 +Q 2953 694 2789 445 +Q 2625 197 2315 61 +Q 2006 -75 1616 -75 +Q 969 -75 630 194 +Q 291 463 197 991 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-2c" d="M 569 0 +L 569 641 +L 1209 641 +L 1209 0 +Q 1209 -353 1084 -570 +Q 959 -788 688 -906 +L 531 -666 +Q 709 -588 793 -436 +Q 878 -284 888 0 +L 569 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-20" transform="scale(0.015625)"/> + <path id="ArialMT-4e" d="M 488 0 +L 488 4581 +L 1109 4581 +L 3516 984 +L 3516 4581 +L 4097 4581 +L 4097 0 +L 3475 0 +L 1069 3600 +L 1069 0 +L 488 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5b" d="M 434 -1272 +L 434 4581 +L 1675 4581 +L 1675 4116 +L 997 4116 +L 997 -806 +L 1675 -806 +L 1675 -1272 +L 434 -1272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5d" d="M 1363 -1272 +L 122 -1272 +L 122 -806 +L 800 -806 +L 800 4116 +L 122 4116 +L 122 4581 +L 1363 4581 +L 1363 -1272 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-46" transform="translate(0 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(61.083984 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(116.699219 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(144.482422 0.421875)"/> + <use xlink:href="#ArialMT-6c" transform="translate(200.097656 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(222.314453 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(244.53125 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(272.314453 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(294.53125 0.421875)"/> + <use xlink:href="#ArialMT-73" transform="translate(350.146484 0.421875)"/> + <use xlink:href="#ArialMT-2c" transform="translate(400.146484 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(427.929688 0.421875)"/> + <use xlink:href="#ArialMT-4e" transform="translate(455.712891 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(527.929688 0.421875)"/> + <use xlink:href="#ArialMT-5b" transform="translate(555.712891 0.421875)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(583.496094 0.421875)"/> + <use xlink:href="#ArialMT-5d" transform="translate(667.285156 0.421875)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_33"> + <path d="M 72 384.48 +L 518.4 384.48 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_34"> + <defs> + <path id="m664c450879" d="M 0 0 +L -8 0 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#m664c450879" x="72" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_6"> + <!-- $\mathdefault{10^{-9}}$ --> + <g transform="translate(29.95 389.418984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-39" d="M 703 97 +L 703 672 +Q 941 559 1184 500 +Q 1428 441 1663 441 +Q 2288 441 2617 861 +Q 2947 1281 2994 2138 +Q 2813 1869 2534 1725 +Q 2256 1581 1919 1581 +Q 1219 1581 811 2004 +Q 403 2428 403 3163 +Q 403 3881 828 4315 +Q 1253 4750 1959 4750 +Q 2769 4750 3195 4129 +Q 3622 3509 3622 2328 +Q 3622 1225 3098 567 +Q 2575 -91 1691 -91 +Q 1453 -91 1209 -44 +Q 966 3 703 97 +z +M 1959 2075 +Q 2384 2075 2632 2365 +Q 2881 2656 2881 3163 +Q 2881 3666 2632 3958 +Q 2384 4250 1959 4250 +Q 1534 4250 1286 3958 +Q 1038 3666 1038 3163 +Q 1038 2656 1286 2365 +Q 1534 2075 1959 2075 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875) scale(0.7)"/> + <use xlink:href="#DejaVuSans-39" transform="translate(186.855469 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_35"> + <path d="M 72 329.04 +L 518.4 329.04 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_36"> + <g> + <use xlink:href="#m664c450879" x="72" y="329.04" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_7"> + <!-- $\mathdefault{10^{-8}}$ --> + <g transform="translate(29.95 333.978984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875) scale(0.7)"/> + <use xlink:href="#DejaVuSans-38" transform="translate(186.855469 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_37"> + <path d="M 72 273.6 +L 518.4 273.6 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_38"> + <g> + <use xlink:href="#m664c450879" x="72" y="273.6" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_8"> + <!-- $\mathdefault{10^{-7}}$ --> + <g transform="translate(29.95 278.538984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-37" d="M 525 4666 +L 3525 4666 +L 3525 4397 +L 1831 0 +L 1172 0 +L 2766 4134 +L 525 4134 +L 525 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625) scale(0.7)"/> + <use xlink:href="#DejaVuSans-37" transform="translate(186.855469 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_39"> + <path d="M 72 218.16 +L 518.4 218.16 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_40"> + <g> + <use xlink:href="#m664c450879" x="72" y="218.16" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_9"> + <!-- $\mathdefault{10^{-6}}$ --> + <g transform="translate(29.95 223.098984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875) scale(0.7)"/> + <use xlink:href="#DejaVuSans-36" transform="translate(186.855469 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_41"> + <path d="M 72 162.72 +L 518.4 162.72 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_42"> + <g> + <use xlink:href="#m664c450879" x="72" y="162.72" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_10"> + <!-- $\mathdefault{10^{-5}}$ --> + <g transform="translate(29.95 167.658984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-35" d="M 691 4666 +L 3169 4666 +L 3169 4134 +L 1269 4134 +L 1269 2991 +Q 1406 3038 1543 3061 +Q 1681 3084 1819 3084 +Q 2600 3084 3056 2656 +Q 3513 2228 3513 1497 +Q 3513 744 3044 326 +Q 2575 -91 1722 -91 +Q 1428 -91 1123 -41 +Q 819 9 494 109 +L 494 744 +Q 775 591 1075 516 +Q 1375 441 1709 441 +Q 2250 441 2565 725 +Q 2881 1009 2881 1497 +Q 2881 1984 2565 2268 +Q 2250 2553 1709 2553 +Q 1456 2553 1204 2497 +Q 953 2441 691 2322 +L 691 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625) scale(0.7)"/> + <use xlink:href="#DejaVuSans-35" transform="translate(186.855469 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_43"> + <path d="M 72 107.28 +L 518.4 107.28 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_44"> + <g> + <use xlink:href="#m664c450879" x="72" y="107.28" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_11"> + <!-- $\mathdefault{10^{-4}}$ --> + <g transform="translate(29.95 112.218984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625) scale(0.7)"/> + <use xlink:href="#DejaVuSans-34" transform="translate(186.855469 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_45"> + <path d="M 72 51.84 +L 518.4 51.84 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_46"> + <g> + <use xlink:href="#m664c450879" x="72" y="51.84" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_12"> + <!-- $\mathdefault{10^{-3}}$ --> + <g transform="translate(29.95 56.778984) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875) scale(0.7)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(186.855469 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_47"> + <defs> + <path id="m9a2a394be2" d="M 0 0 +L -2 0 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="367.790897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_9"> + <g id="line2d_48"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="358.028398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_10"> + <g id="line2d_49"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="351.101794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_11"> + <g id="line2d_50"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="345.729103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_12"> + <g id="line2d_51"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="341.339295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_13"> + <g id="line2d_52"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="337.627765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_14"> + <g id="line2d_53"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="334.412691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_15"> + <g id="line2d_54"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="331.576795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_16"> + <g id="line2d_55"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="312.350897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_17"> + <g id="line2d_56"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="302.588398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_18"> + <g id="line2d_57"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="295.661794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_19"> + <g id="line2d_58"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="290.289103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_20"> + <g id="line2d_59"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="285.899295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_21"> + <g id="line2d_60"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="282.187765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_22"> + <g id="line2d_61"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="278.972691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_23"> + <g id="line2d_62"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="276.136795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_24"> + <g id="line2d_63"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="256.910897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_25"> + <g id="line2d_64"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="247.148398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_26"> + <g id="line2d_65"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="240.221794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_27"> + <g id="line2d_66"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="234.849103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_28"> + <g id="line2d_67"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="230.459295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_29"> + <g id="line2d_68"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="226.747765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_30"> + <g id="line2d_69"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="223.532691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_31"> + <g id="line2d_70"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="220.696795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_32"> + <g id="line2d_71"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="201.470897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_33"> + <g id="line2d_72"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="191.708398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_34"> + <g id="line2d_73"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="184.781794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_35"> + <g id="line2d_74"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="179.409103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_36"> + <g id="line2d_75"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="175.019295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_37"> + <g id="line2d_76"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="171.307765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_38"> + <g id="line2d_77"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="168.092691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_39"> + <g id="line2d_78"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="165.256795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_40"> + <g id="line2d_79"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="146.030897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_41"> + <g id="line2d_80"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="136.268398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_42"> + <g id="line2d_81"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="129.341794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_43"> + <g id="line2d_82"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="123.969103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_44"> + <g id="line2d_83"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="119.579295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_45"> + <g id="line2d_84"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="115.867765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_46"> + <g id="line2d_85"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="112.652691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_47"> + <g id="line2d_86"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="109.816795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_48"> + <g id="line2d_87"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="90.590897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_49"> + <g id="line2d_88"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="80.828398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_50"> + <g id="line2d_89"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="73.901794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_51"> + <g id="line2d_90"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="68.529103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_52"> + <g id="line2d_91"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="64.139295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_53"> + <g id="line2d_92"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="60.427765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_54"> + <g id="line2d_93"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="57.212691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_55"> + <g id="line2d_94"> + <g> + <use xlink:href="#m9a2a394be2" x="72" y="54.376795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_13"> + <!-- Probability of Exceedance, $1-F_N(n)$ [$-$] --> + <g transform="translate(22.43 363.76) rotate(-90) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-50" d="M 494 0 +L 494 4581 +L 2222 4581 +Q 2678 4581 2919 4538 +Q 3256 4481 3484 4323 +Q 3713 4166 3852 3881 +Q 3991 3597 3991 3256 +Q 3991 2672 3619 2267 +Q 3247 1863 2275 1863 +L 1100 1863 +L 1100 0 +L 494 0 +z +M 1100 2403 +L 2284 2403 +Q 2872 2403 3119 2622 +Q 3366 2841 3366 3238 +Q 3366 3525 3220 3729 +Q 3075 3934 2838 4000 +Q 2684 4041 2272 4041 +L 1100 4041 +L 1100 2403 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-72" d="M 416 0 +L 416 3319 +L 922 3319 +L 922 2816 +Q 1116 3169 1280 3281 +Q 1444 3394 1641 3394 +Q 1925 3394 2219 3213 +L 2025 2691 +Q 1819 2813 1613 2813 +Q 1428 2813 1281 2702 +Q 1134 2591 1072 2394 +Q 978 2094 978 1738 +L 978 0 +L 416 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6f" d="M 213 1659 +Q 213 2581 725 3025 +Q 1153 3394 1769 3394 +Q 2453 3394 2887 2945 +Q 3322 2497 3322 1706 +Q 3322 1066 3130 698 +Q 2938 331 2570 128 +Q 2203 -75 1769 -75 +Q 1072 -75 642 372 +Q 213 819 213 1659 +z +M 791 1659 +Q 791 1022 1069 705 +Q 1347 388 1769 388 +Q 2188 388 2466 706 +Q 2744 1025 2744 1678 +Q 2744 2294 2464 2611 +Q 2184 2928 1769 2928 +Q 1347 2928 1069 2612 +Q 791 2297 791 1659 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-62" d="M 941 0 +L 419 0 +L 419 4581 +L 981 4581 +L 981 2947 +Q 1338 3394 1891 3394 +Q 2197 3394 2470 3270 +Q 2744 3147 2920 2923 +Q 3097 2700 3197 2384 +Q 3297 2069 3297 1709 +Q 3297 856 2875 390 +Q 2453 -75 1863 -75 +Q 1275 -75 941 416 +L 941 0 +z +M 934 1684 +Q 934 1088 1097 822 +Q 1363 388 1816 388 +Q 2184 388 2453 708 +Q 2722 1028 2722 1663 +Q 2722 2313 2464 2622 +Q 2206 2931 1841 2931 +Q 1472 2931 1203 2611 +Q 934 2291 934 1684 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-79" d="M 397 -1278 +L 334 -750 +Q 519 -800 656 -800 +Q 844 -800 956 -737 +Q 1069 -675 1141 -563 +Q 1194 -478 1313 -144 +Q 1328 -97 1363 -6 +L 103 3319 +L 709 3319 +L 1400 1397 +Q 1534 1031 1641 628 +Q 1738 1016 1872 1384 +L 2581 3319 +L 3144 3319 +L 1881 -56 +Q 1678 -603 1566 -809 +Q 1416 -1088 1222 -1217 +Q 1028 -1347 759 -1347 +Q 597 -1347 397 -1278 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-66" d="M 556 0 +L 556 2881 +L 59 2881 +L 59 3319 +L 556 3319 +L 556 3672 +Q 556 4006 616 4169 +Q 697 4388 901 4523 +Q 1106 4659 1475 4659 +Q 1713 4659 2000 4603 +L 1916 4113 +Q 1741 4144 1584 4144 +Q 1328 4144 1222 4034 +Q 1116 3925 1116 3625 +L 1116 3319 +L 1763 3319 +L 1763 2881 +L 1116 2881 +L 1116 0 +L 556 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-45" d="M 506 0 +L 506 4581 +L 3819 4581 +L 3819 4041 +L 1113 4041 +L 1113 2638 +L 3647 2638 +L 3647 2100 +L 1113 2100 +L 1113 541 +L 3925 541 +L 3925 0 +L 506 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-78" d="M 47 0 +L 1259 1725 +L 138 3319 +L 841 3319 +L 1350 2541 +Q 1494 2319 1581 2169 +Q 1719 2375 1834 2534 +L 2394 3319 +L 3066 3319 +L 1919 1756 +L 3153 0 +L 2463 0 +L 1781 1031 +L 1600 1309 +L 728 0 +L 47 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-63" d="M 2588 1216 +L 3141 1144 +Q 3050 572 2676 248 +Q 2303 -75 1759 -75 +Q 1078 -75 664 370 +Q 250 816 250 1647 +Q 250 2184 428 2587 +Q 606 2991 970 3192 +Q 1334 3394 1763 3394 +Q 2303 3394 2647 3120 +Q 2991 2847 3088 2344 +L 2541 2259 +Q 2463 2594 2264 2762 +Q 2066 2931 1784 2931 +Q 1359 2931 1093 2626 +Q 828 2322 828 1663 +Q 828 994 1084 691 +Q 1341 388 1753 388 +Q 2084 388 2306 591 +Q 2528 794 2588 1216 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-64" d="M 2575 0 +L 2575 419 +Q 2259 -75 1647 -75 +Q 1250 -75 917 144 +Q 584 363 401 755 +Q 219 1147 219 1656 +Q 219 2153 384 2558 +Q 550 2963 881 3178 +Q 1213 3394 1622 3394 +Q 1922 3394 2156 3267 +Q 2391 3141 2538 2938 +L 2538 4581 +L 3097 4581 +L 3097 0 +L 2575 0 +z +M 797 1656 +Q 797 1019 1065 703 +Q 1334 388 1700 388 +Q 2069 388 2326 689 +Q 2584 991 2584 1609 +Q 2584 2291 2321 2609 +Q 2059 2928 1675 2928 +Q 1300 2928 1048 2622 +Q 797 2316 797 1656 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6e" d="M 422 0 +L 422 3319 +L 928 3319 +L 928 2847 +Q 1294 3394 1984 3394 +Q 2284 3394 2536 3286 +Q 2788 3178 2913 3003 +Q 3038 2828 3088 2588 +Q 3119 2431 3119 2041 +L 3119 0 +L 2556 0 +L 2556 2019 +Q 2556 2363 2490 2533 +Q 2425 2703 2258 2804 +Q 2091 2906 1866 2906 +Q 1506 2906 1245 2678 +Q 984 2450 984 1813 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-46" d="M 1081 4666 +L 3756 4666 +L 3653 4134 +L 1606 4134 +L 1338 2759 +L 3188 2759 +L 3084 2228 +L 1234 2228 +L 800 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-6e" d="M 3566 2113 +L 3156 0 +L 2578 0 +L 2988 2091 +Q 3016 2238 3031 2350 +Q 3047 2463 3047 2528 +Q 3047 2791 2881 2937 +Q 2716 3084 2419 3084 +Q 1956 3084 1622 2776 +Q 1288 2469 1184 1941 +L 800 0 +L 225 0 +L 903 3500 +L 1478 3500 +L 1363 2950 +Q 1603 3253 1940 3418 +Q 2278 3584 2650 3584 +Q 3113 3584 3367 3334 +Q 3622 3084 3622 2631 +Q 3622 2519 3608 2391 +Q 3594 2263 3566 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-50" transform="translate(0 0.125)"/> + <use xlink:href="#ArialMT-72" transform="translate(66.699219 0.125)"/> + <use xlink:href="#ArialMT-6f" transform="translate(100 0.125)"/> + <use xlink:href="#ArialMT-62" transform="translate(155.615234 0.125)"/> + <use xlink:href="#ArialMT-61" transform="translate(211.230469 0.125)"/> + <use xlink:href="#ArialMT-62" transform="translate(266.845703 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(322.460938 0.125)"/> + <use xlink:href="#ArialMT-6c" transform="translate(344.677734 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(366.894531 0.125)"/> + <use xlink:href="#ArialMT-74" transform="translate(389.111328 0.125)"/> + <use xlink:href="#ArialMT-79" transform="translate(416.894531 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(466.894531 0.125)"/> + <use xlink:href="#ArialMT-6f" transform="translate(494.677734 0.125)"/> + <use xlink:href="#ArialMT-66" transform="translate(550.292969 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(578.076172 0.125)"/> + <use xlink:href="#ArialMT-45" transform="translate(605.859375 0.125)"/> + <use xlink:href="#ArialMT-78" transform="translate(672.558594 0.125)"/> + <use xlink:href="#ArialMT-63" transform="translate(722.558594 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(772.558594 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(828.173828 0.125)"/> + <use xlink:href="#ArialMT-64" transform="translate(883.789062 0.125)"/> + <use xlink:href="#ArialMT-61" transform="translate(939.404297 0.125)"/> + <use xlink:href="#ArialMT-6e" transform="translate(995.019531 0.125)"/> + <use xlink:href="#ArialMT-63" transform="translate(1050.634766 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(1100.634766 0.125)"/> + <use xlink:href="#ArialMT-2c" transform="translate(1156.25 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(1184.033203 0.125)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(1211.816406 0.125)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1294.921875 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-46" transform="translate(1398.193359 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(1455.712891 -16.28125) scale(0.7)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(1510.810547 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(1549.824219 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(1613.203125 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(1652.216797 0.125)"/> + <use xlink:href="#ArialMT-5b" transform="translate(1680 0.125)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1707.783203 0.125)"/> + <use xlink:href="#ArialMT-5d" transform="translate(1791.572266 0.125)"/> + </g> + </g> + </g> + <g id="line2d_95"> + <path d="M 72 51.84 +L 518.4 384.48 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke-dasharray: 14.8,6.4; stroke-dashoffset: 0; stroke: #0c2340; stroke-width: 4"/> + </g> + <g id="line2d_96"> + <path d="M 72 107.28 +L 197.750588 107.28 +L 197.750588 119.579295 +L 265.593263 119.579295 +L 265.593263 136.268398 +L 310.386527 136.268398 +L 310.386527 162.72 +L 336.588906 162.72 +L 336.588906 184.902482 +L 369.6 184.902482 +L 369.6 201.712882 +L 399.973053 201.712882 +L 399.973053 218.646426 +L 414.393263 218.646426 +L 414.393263 285.899295 +L 440.595643 285.899295 +L 440.595643 433 +" clip-path="url(#pf65c4c4559)" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 72 384.48 +L 72 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 518.4 384.48 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 72 384.48 +L 518.4 384.48 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 72 51.84 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="legend_1"> + <g id="patch_7"> + <path d="M 377.7675 109.905 +L 507.2 109.905 +Q 510.4 109.905 510.4 106.705 +L 510.4 63.04 +Q 510.4 59.84 507.2 59.84 +L 377.7675 59.84 +Q 374.5675 59.84 374.5675 63.04 +L 374.5675 106.705 +Q 374.5675 109.905 377.7675 109.905 +z +" style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/> + </g> + <g id="line2d_97"> + <path d="M 380.9675 72.0925 +L 396.9675 72.0925 +L 412.9675 72.0925 +" style="fill: none; stroke-dasharray: 14.8,6.4; stroke-dashoffset: 0; stroke: #0c2340; stroke-width: 4"/> + </g> + <g id="text_14"> + <!-- Limit Line --> + <g transform="translate(425.7675 77.6925) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-4c" d="M 469 0 +L 469 4581 +L 1075 4581 +L 1075 541 +L 3331 541 +L 3331 0 +L 469 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6d" d="M 422 0 +L 422 3319 +L 925 3319 +L 925 2853 +Q 1081 3097 1340 3245 +Q 1600 3394 1931 3394 +Q 2300 3394 2536 3241 +Q 2772 3088 2869 2813 +Q 3263 3394 3894 3394 +Q 4388 3394 4653 3120 +Q 4919 2847 4919 2278 +L 4919 0 +L 4359 0 +L 4359 2091 +Q 4359 2428 4304 2576 +Q 4250 2725 4106 2815 +Q 3963 2906 3769 2906 +Q 3419 2906 3187 2673 +Q 2956 2441 2956 1928 +L 2956 0 +L 2394 0 +L 2394 2156 +Q 2394 2531 2256 2718 +Q 2119 2906 1806 2906 +Q 1569 2906 1367 2781 +Q 1166 2656 1075 2415 +Q 984 2175 984 1722 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-4c"/> + <use xlink:href="#ArialMT-69" x="55.615234"/> + <use xlink:href="#ArialMT-6d" x="77.832031"/> + <use xlink:href="#ArialMT-69" x="161.132812"/> + <use xlink:href="#ArialMT-74" x="183.349609"/> + <use xlink:href="#ArialMT-20" x="211.132812"/> + <use xlink:href="#ArialMT-4c" x="238.916016"/> + <use xlink:href="#ArialMT-69" x="294.53125"/> + <use xlink:href="#ArialMT-6e" x="316.748047"/> + <use xlink:href="#ArialMT-65" x="372.363281"/> + </g> + </g> + <g id="line2d_98"> + <path d="M 380.9675 94.725 +L 396.9675 94.725 +L 396.9675 94.725 +L 412.9675 94.725 +L 412.9675 94.725 +" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_15"> + <!-- Risk Curve --> + <g transform="translate(425.7675 100.325) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-52" d="M 503 0 +L 503 4581 +L 2534 4581 +Q 3147 4581 3465 4457 +Q 3784 4334 3975 4021 +Q 4166 3709 4166 3331 +Q 4166 2844 3850 2509 +Q 3534 2175 2875 2084 +Q 3116 1969 3241 1856 +Q 3506 1613 3744 1247 +L 4541 0 +L 3778 0 +L 3172 953 +Q 2906 1366 2734 1584 +Q 2563 1803 2427 1890 +Q 2291 1978 2150 2013 +Q 2047 2034 1813 2034 +L 1109 2034 +L 1109 0 +L 503 0 +z +M 1109 2559 +L 2413 2559 +Q 2828 2559 3062 2645 +Q 3297 2731 3419 2920 +Q 3541 3109 3541 3331 +Q 3541 3656 3305 3865 +Q 3069 4075 2559 4075 +L 1109 4075 +L 1109 2559 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6b" d="M 425 0 +L 425 4581 +L 988 4581 +L 988 1969 +L 2319 3319 +L 3047 3319 +L 1778 2088 +L 3175 0 +L 2481 0 +L 1384 1697 +L 988 1316 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-43" d="M 3763 1606 +L 4369 1453 +Q 4178 706 3683 314 +Q 3188 -78 2472 -78 +Q 1731 -78 1267 223 +Q 803 525 561 1097 +Q 319 1669 319 2325 +Q 319 3041 592 3573 +Q 866 4106 1370 4382 +Q 1875 4659 2481 4659 +Q 3169 4659 3637 4309 +Q 4106 3959 4291 3325 +L 3694 3184 +Q 3534 3684 3231 3912 +Q 2928 4141 2469 4141 +Q 1941 4141 1586 3887 +Q 1231 3634 1087 3207 +Q 944 2781 944 2328 +Q 944 1744 1114 1308 +Q 1284 872 1643 656 +Q 2003 441 2422 441 +Q 2931 441 3284 734 +Q 3638 1028 3763 1606 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-75" d="M 2597 0 +L 2597 488 +Q 2209 -75 1544 -75 +Q 1250 -75 995 37 +Q 741 150 617 320 +Q 494 491 444 738 +Q 409 903 409 1263 +L 409 3319 +L 972 3319 +L 972 1478 +Q 972 1038 1006 884 +Q 1059 663 1231 536 +Q 1403 409 1656 409 +Q 1909 409 2131 539 +Q 2353 669 2445 892 +Q 2538 1116 2538 1541 +L 2538 3319 +L 3100 3319 +L 3100 0 +L 2597 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-76" d="M 1344 0 +L 81 3319 +L 675 3319 +L 1388 1331 +Q 1503 1009 1600 663 +Q 1675 925 1809 1294 +L 2547 3319 +L 3125 3319 +L 1869 0 +L 1344 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-52"/> + <use xlink:href="#ArialMT-69" x="72.216797"/> + <use xlink:href="#ArialMT-73" x="94.433594"/> + <use xlink:href="#ArialMT-6b" x="144.433594"/> + <use xlink:href="#ArialMT-20" x="194.433594"/> + <use xlink:href="#ArialMT-43" x="222.216797"/> + <use xlink:href="#ArialMT-75" x="294.433594"/> + <use xlink:href="#ArialMT-72" x="350.048828"/> + <use xlink:href="#ArialMT-76" x="383.349609"/> + <use xlink:href="#ArialMT-65" x="433.349609"/> + </g> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="pf65c4c4559"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/fn_limit_eq.png b/book/figures/fn_limit_eq.png new file mode 100644 index 0000000..f0ed1b0 Binary files /dev/null and b/book/figures/fn_limit_eq.png differ diff --git a/book/figures/fn_simple01.svg b/book/figures/fn_simple01.svg new file mode 100644 index 0000000..734fc52 --- /dev/null +++ b/book/figures/fn_simple01.svg @@ -0,0 +1,1619 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2024-02-19T08:48:50.687691</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.8.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <path d="M 72 384.48 +L 72 51.84 +" clip-path="url(#pb2a446bfb9)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_2"> + <defs> + <path id="m6c9771069a" d="M 0 0 +L 0 8 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#m6c9771069a" x="72" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_1"> + <!-- $\mathdefault{10^{0}}$ --> + <g transform="translate(60.56 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(128.203125 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_3"> + <path d="M 220.8 384.48 +L 220.8 51.84 +" clip-path="url(#pb2a446bfb9)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_4"> + <g> + <use xlink:href="#m6c9771069a" x="220.8" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_2"> + <!-- $\mathdefault{10^{1}}$ --> + <g transform="translate(209.36 405.857969) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(128.203125 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_5"> + <path d="M 369.6 384.48 +L 369.6 51.84 +" clip-path="url(#pb2a446bfb9)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_6"> + <g> + <use xlink:href="#m6c9771069a" x="369.6" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_3"> + <!-- $\mathdefault{10^{2}}$ --> + <g transform="translate(358.16 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(128.203125 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_7"> + <path d="M 518.4 384.48 +L 518.4 51.84 +" clip-path="url(#pb2a446bfb9)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_8"> + <g> + <use xlink:href="#m6c9771069a" x="518.4" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_4"> + <!-- $\mathdefault{10^{3}}$ --> + <g transform="translate(506.96 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(128.203125 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_9"> + <defs> + <path id="m5ba81b1921" d="M 0 0 +L 0 2 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#m5ba81b1921" x="116.793263" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_10"> + <g> + <use xlink:href="#m5ba81b1921" x="142.995643" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_11"> + <g> + <use xlink:href="#m5ba81b1921" x="161.586527" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_12"> + <g> + <use xlink:href="#m5ba81b1921" x="176.006737" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_9"> + <g id="line2d_13"> + <g> + <use xlink:href="#m5ba81b1921" x="187.788906" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_10"> + <g id="line2d_14"> + <g> + <use xlink:href="#m5ba81b1921" x="197.750588" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_11"> + <g id="line2d_15"> + <g> + <use xlink:href="#m5ba81b1921" x="206.37979" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_12"> + <g id="line2d_16"> + <g> + <use xlink:href="#m5ba81b1921" x="213.991285" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_13"> + <g id="line2d_17"> + <g> + <use xlink:href="#m5ba81b1921" x="265.593263" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_14"> + <g id="line2d_18"> + <g> + <use xlink:href="#m5ba81b1921" x="291.795643" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_15"> + <g id="line2d_19"> + <g> + <use xlink:href="#m5ba81b1921" x="310.386527" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_16"> + <g id="line2d_20"> + <g> + <use xlink:href="#m5ba81b1921" x="324.806737" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_17"> + <g id="line2d_21"> + <g> + <use xlink:href="#m5ba81b1921" x="336.588906" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_18"> + <g id="line2d_22"> + <g> + <use xlink:href="#m5ba81b1921" x="346.550588" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_19"> + <g id="line2d_23"> + <g> + <use xlink:href="#m5ba81b1921" x="355.17979" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_20"> + <g id="line2d_24"> + <g> + <use xlink:href="#m5ba81b1921" x="362.791285" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_21"> + <g id="line2d_25"> + <g> + <use xlink:href="#m5ba81b1921" x="414.393263" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_22"> + <g id="line2d_26"> + <g> + <use xlink:href="#m5ba81b1921" x="440.595643" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_23"> + <g id="line2d_27"> + <g> + <use xlink:href="#m5ba81b1921" x="459.186527" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_24"> + <g id="line2d_28"> + <g> + <use xlink:href="#m5ba81b1921" x="473.606737" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_25"> + <g id="line2d_29"> + <g> + <use xlink:href="#m5ba81b1921" x="485.388906" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_26"> + <g id="line2d_30"> + <g> + <use xlink:href="#m5ba81b1921" x="495.350588" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_27"> + <g id="line2d_31"> + <g> + <use xlink:href="#m5ba81b1921" x="503.97979" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_28"> + <g id="line2d_32"> + <g> + <use xlink:href="#m5ba81b1921" x="511.591285" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_5"> + <!-- Fatalities, N [$-$] --> + <g transform="translate(239.52 424.081563) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-46" d="M 525 0 +L 525 4581 +L 3616 4581 +L 3616 4041 +L 1131 4041 +L 1131 2622 +L 3281 2622 +L 3281 2081 +L 1131 2081 +L 1131 0 +L 525 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-61" d="M 2588 409 +Q 2275 144 1986 34 +Q 1697 -75 1366 -75 +Q 819 -75 525 192 +Q 231 459 231 875 +Q 231 1119 342 1320 +Q 453 1522 633 1644 +Q 813 1766 1038 1828 +Q 1203 1872 1538 1913 +Q 2219 1994 2541 2106 +Q 2544 2222 2544 2253 +Q 2544 2597 2384 2738 +Q 2169 2928 1744 2928 +Q 1347 2928 1158 2789 +Q 969 2650 878 2297 +L 328 2372 +Q 403 2725 575 2942 +Q 747 3159 1072 3276 +Q 1397 3394 1825 3394 +Q 2250 3394 2515 3294 +Q 2781 3194 2906 3042 +Q 3031 2891 3081 2659 +Q 3109 2516 3109 2141 +L 3109 1391 +Q 3109 606 3145 398 +Q 3181 191 3288 0 +L 2700 0 +Q 2613 175 2588 409 +z +M 2541 1666 +Q 2234 1541 1622 1453 +Q 1275 1403 1131 1340 +Q 988 1278 909 1158 +Q 831 1038 831 891 +Q 831 666 1001 516 +Q 1172 366 1500 366 +Q 1825 366 2078 508 +Q 2331 650 2450 897 +Q 2541 1088 2541 1459 +L 2541 1666 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-74" d="M 1650 503 +L 1731 6 +Q 1494 -44 1306 -44 +Q 1000 -44 831 53 +Q 663 150 594 308 +Q 525 466 525 972 +L 525 2881 +L 113 2881 +L 113 3319 +L 525 3319 +L 525 4141 +L 1084 4478 +L 1084 3319 +L 1650 3319 +L 1650 2881 +L 1084 2881 +L 1084 941 +Q 1084 700 1114 631 +Q 1144 563 1211 522 +Q 1278 481 1403 481 +Q 1497 481 1650 503 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6c" d="M 409 0 +L 409 4581 +L 972 4581 +L 972 0 +L 409 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-69" d="M 425 3934 +L 425 4581 +L 988 4581 +L 988 3934 +L 425 3934 +z +M 425 0 +L 425 3319 +L 988 3319 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-65" d="M 2694 1069 +L 3275 997 +Q 3138 488 2766 206 +Q 2394 -75 1816 -75 +Q 1088 -75 661 373 +Q 234 822 234 1631 +Q 234 2469 665 2931 +Q 1097 3394 1784 3394 +Q 2450 3394 2872 2941 +Q 3294 2488 3294 1666 +Q 3294 1616 3291 1516 +L 816 1516 +Q 847 969 1125 678 +Q 1403 388 1819 388 +Q 2128 388 2347 550 +Q 2566 713 2694 1069 +z +M 847 1978 +L 2700 1978 +Q 2663 2397 2488 2606 +Q 2219 2931 1791 2931 +Q 1403 2931 1139 2672 +Q 875 2413 847 1978 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-73" d="M 197 991 +L 753 1078 +Q 800 744 1014 566 +Q 1228 388 1613 388 +Q 2000 388 2187 545 +Q 2375 703 2375 916 +Q 2375 1106 2209 1216 +Q 2094 1291 1634 1406 +Q 1016 1563 777 1677 +Q 538 1791 414 1992 +Q 291 2194 291 2438 +Q 291 2659 392 2848 +Q 494 3038 669 3163 +Q 800 3259 1026 3326 +Q 1253 3394 1513 3394 +Q 1903 3394 2198 3281 +Q 2494 3169 2634 2976 +Q 2775 2784 2828 2463 +L 2278 2388 +Q 2241 2644 2061 2787 +Q 1881 2931 1553 2931 +Q 1166 2931 1000 2803 +Q 834 2675 834 2503 +Q 834 2394 903 2306 +Q 972 2216 1119 2156 +Q 1203 2125 1616 2013 +Q 2213 1853 2448 1751 +Q 2684 1650 2818 1456 +Q 2953 1263 2953 975 +Q 2953 694 2789 445 +Q 2625 197 2315 61 +Q 2006 -75 1616 -75 +Q 969 -75 630 194 +Q 291 463 197 991 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-2c" d="M 569 0 +L 569 641 +L 1209 641 +L 1209 0 +Q 1209 -353 1084 -570 +Q 959 -788 688 -906 +L 531 -666 +Q 709 -588 793 -436 +Q 878 -284 888 0 +L 569 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-20" transform="scale(0.015625)"/> + <path id="ArialMT-4e" d="M 488 0 +L 488 4581 +L 1109 4581 +L 3516 984 +L 3516 4581 +L 4097 4581 +L 4097 0 +L 3475 0 +L 1069 3600 +L 1069 0 +L 488 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5b" d="M 434 -1272 +L 434 4581 +L 1675 4581 +L 1675 4116 +L 997 4116 +L 997 -806 +L 1675 -806 +L 1675 -1272 +L 434 -1272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5d" d="M 1363 -1272 +L 122 -1272 +L 122 -806 +L 800 -806 +L 800 4116 +L 122 4116 +L 122 4581 +L 1363 4581 +L 1363 -1272 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-46" transform="translate(0 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(61.083984 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(116.699219 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(144.482422 0.421875)"/> + <use xlink:href="#ArialMT-6c" transform="translate(200.097656 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(222.314453 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(244.53125 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(272.314453 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(294.53125 0.421875)"/> + <use xlink:href="#ArialMT-73" transform="translate(350.146484 0.421875)"/> + <use xlink:href="#ArialMT-2c" transform="translate(400.146484 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(427.929688 0.421875)"/> + <use xlink:href="#ArialMT-4e" transform="translate(455.712891 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(527.929688 0.421875)"/> + <use xlink:href="#ArialMT-5b" transform="translate(555.712891 0.421875)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(583.496094 0.421875)"/> + <use xlink:href="#ArialMT-5d" transform="translate(667.285156 0.421875)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_33"> + <path d="M 72 384.48 +L 518.4 384.48 +" clip-path="url(#pb2a446bfb9)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_34"> + <defs> + <path id="m049633cf50" d="M 0 0 +L -8 0 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#m049633cf50" x="72" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_6"> + <!-- $\mathdefault{10^{-7}}$ --> + <g transform="translate(29.95 389.418984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-37" d="M 525 4666 +L 3525 4666 +L 3525 4397 +L 1831 0 +L 1172 0 +L 2766 4134 +L 525 4134 +L 525 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625) scale(0.7)"/> + <use xlink:href="#DejaVuSans-37" transform="translate(186.855469 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_35"> + <path d="M 72 301.32 +L 518.4 301.32 +" clip-path="url(#pb2a446bfb9)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_36"> + <g> + <use xlink:href="#m049633cf50" x="72" y="301.32" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_7"> + <!-- $\mathdefault{10^{-6}}$ --> + <g transform="translate(29.95 306.258984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875) scale(0.7)"/> + <use xlink:href="#DejaVuSans-36" transform="translate(186.855469 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_37"> + <path d="M 72 218.16 +L 518.4 218.16 +" clip-path="url(#pb2a446bfb9)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_38"> + <g> + <use xlink:href="#m049633cf50" x="72" y="218.16" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_8"> + <!-- $\mathdefault{10^{-5}}$ --> + <g transform="translate(29.95 223.098984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-35" d="M 691 4666 +L 3169 4666 +L 3169 4134 +L 1269 4134 +L 1269 2991 +Q 1406 3038 1543 3061 +Q 1681 3084 1819 3084 +Q 2600 3084 3056 2656 +Q 3513 2228 3513 1497 +Q 3513 744 3044 326 +Q 2575 -91 1722 -91 +Q 1428 -91 1123 -41 +Q 819 9 494 109 +L 494 744 +Q 775 591 1075 516 +Q 1375 441 1709 441 +Q 2250 441 2565 725 +Q 2881 1009 2881 1497 +Q 2881 1984 2565 2268 +Q 2250 2553 1709 2553 +Q 1456 2553 1204 2497 +Q 953 2441 691 2322 +L 691 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625) scale(0.7)"/> + <use xlink:href="#DejaVuSans-35" transform="translate(186.855469 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_39"> + <path d="M 72 135 +L 518.4 135 +" clip-path="url(#pb2a446bfb9)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_40"> + <g> + <use xlink:href="#m049633cf50" x="72" y="135" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_9"> + <!-- $\mathdefault{10^{-4}}$ --> + <g transform="translate(29.95 139.938984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625) scale(0.7)"/> + <use xlink:href="#DejaVuSans-34" transform="translate(186.855469 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_41"> + <path d="M 72 51.84 +L 518.4 51.84 +" clip-path="url(#pb2a446bfb9)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_42"> + <g> + <use xlink:href="#m049633cf50" x="72" y="51.84" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_10"> + <!-- $\mathdefault{10^{-3}}$ --> + <g transform="translate(29.95 56.778984) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875) scale(0.7)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(186.855469 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_43"> + <defs> + <path id="mb11abfab66" d="M 0 0 +L -2 0 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#mb11abfab66" x="72" y="359.446346" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_44"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="344.802596" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_45"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="334.412691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_9"> + <g id="line2d_46"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="326.353654" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_10"> + <g id="line2d_47"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="319.768942" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_11"> + <g id="line2d_48"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="314.201647" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_12"> + <g id="line2d_49"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="309.379037" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_13"> + <g id="line2d_50"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="305.125193" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_14"> + <g id="line2d_51"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="276.286346" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_15"> + <g id="line2d_52"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="261.642596" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_16"> + <g id="line2d_53"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="251.252691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_17"> + <g id="line2d_54"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="243.193654" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_18"> + <g id="line2d_55"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="236.608942" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_19"> + <g id="line2d_56"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="231.041647" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_20"> + <g id="line2d_57"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="226.219037" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_21"> + <g id="line2d_58"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="221.965193" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_22"> + <g id="line2d_59"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="193.126346" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_23"> + <g id="line2d_60"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="178.482596" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_24"> + <g id="line2d_61"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="168.092691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_25"> + <g id="line2d_62"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="160.033654" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_26"> + <g id="line2d_63"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="153.448942" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_27"> + <g id="line2d_64"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="147.881647" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_28"> + <g id="line2d_65"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="143.059037" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_29"> + <g id="line2d_66"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="138.805193" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_30"> + <g id="line2d_67"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="109.966346" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_31"> + <g id="line2d_68"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="95.322596" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_32"> + <g id="line2d_69"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="84.932691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_33"> + <g id="line2d_70"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="76.873654" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_34"> + <g id="line2d_71"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="70.288942" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_35"> + <g id="line2d_72"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="64.721647" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_36"> + <g id="line2d_73"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="59.899037" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_37"> + <g id="line2d_74"> + <g> + <use xlink:href="#mb11abfab66" x="72" y="55.645193" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_11"> + <!-- Probability of Exceedance, $1-F_N(n)$ [$-$] --> + <g transform="translate(22.43 363.76) rotate(-90) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-50" d="M 494 0 +L 494 4581 +L 2222 4581 +Q 2678 4581 2919 4538 +Q 3256 4481 3484 4323 +Q 3713 4166 3852 3881 +Q 3991 3597 3991 3256 +Q 3991 2672 3619 2267 +Q 3247 1863 2275 1863 +L 1100 1863 +L 1100 0 +L 494 0 +z +M 1100 2403 +L 2284 2403 +Q 2872 2403 3119 2622 +Q 3366 2841 3366 3238 +Q 3366 3525 3220 3729 +Q 3075 3934 2838 4000 +Q 2684 4041 2272 4041 +L 1100 4041 +L 1100 2403 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-72" d="M 416 0 +L 416 3319 +L 922 3319 +L 922 2816 +Q 1116 3169 1280 3281 +Q 1444 3394 1641 3394 +Q 1925 3394 2219 3213 +L 2025 2691 +Q 1819 2813 1613 2813 +Q 1428 2813 1281 2702 +Q 1134 2591 1072 2394 +Q 978 2094 978 1738 +L 978 0 +L 416 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6f" d="M 213 1659 +Q 213 2581 725 3025 +Q 1153 3394 1769 3394 +Q 2453 3394 2887 2945 +Q 3322 2497 3322 1706 +Q 3322 1066 3130 698 +Q 2938 331 2570 128 +Q 2203 -75 1769 -75 +Q 1072 -75 642 372 +Q 213 819 213 1659 +z +M 791 1659 +Q 791 1022 1069 705 +Q 1347 388 1769 388 +Q 2188 388 2466 706 +Q 2744 1025 2744 1678 +Q 2744 2294 2464 2611 +Q 2184 2928 1769 2928 +Q 1347 2928 1069 2612 +Q 791 2297 791 1659 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-62" d="M 941 0 +L 419 0 +L 419 4581 +L 981 4581 +L 981 2947 +Q 1338 3394 1891 3394 +Q 2197 3394 2470 3270 +Q 2744 3147 2920 2923 +Q 3097 2700 3197 2384 +Q 3297 2069 3297 1709 +Q 3297 856 2875 390 +Q 2453 -75 1863 -75 +Q 1275 -75 941 416 +L 941 0 +z +M 934 1684 +Q 934 1088 1097 822 +Q 1363 388 1816 388 +Q 2184 388 2453 708 +Q 2722 1028 2722 1663 +Q 2722 2313 2464 2622 +Q 2206 2931 1841 2931 +Q 1472 2931 1203 2611 +Q 934 2291 934 1684 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-79" d="M 397 -1278 +L 334 -750 +Q 519 -800 656 -800 +Q 844 -800 956 -737 +Q 1069 -675 1141 -563 +Q 1194 -478 1313 -144 +Q 1328 -97 1363 -6 +L 103 3319 +L 709 3319 +L 1400 1397 +Q 1534 1031 1641 628 +Q 1738 1016 1872 1384 +L 2581 3319 +L 3144 3319 +L 1881 -56 +Q 1678 -603 1566 -809 +Q 1416 -1088 1222 -1217 +Q 1028 -1347 759 -1347 +Q 597 -1347 397 -1278 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-66" d="M 556 0 +L 556 2881 +L 59 2881 +L 59 3319 +L 556 3319 +L 556 3672 +Q 556 4006 616 4169 +Q 697 4388 901 4523 +Q 1106 4659 1475 4659 +Q 1713 4659 2000 4603 +L 1916 4113 +Q 1741 4144 1584 4144 +Q 1328 4144 1222 4034 +Q 1116 3925 1116 3625 +L 1116 3319 +L 1763 3319 +L 1763 2881 +L 1116 2881 +L 1116 0 +L 556 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-45" d="M 506 0 +L 506 4581 +L 3819 4581 +L 3819 4041 +L 1113 4041 +L 1113 2638 +L 3647 2638 +L 3647 2100 +L 1113 2100 +L 1113 541 +L 3925 541 +L 3925 0 +L 506 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-78" d="M 47 0 +L 1259 1725 +L 138 3319 +L 841 3319 +L 1350 2541 +Q 1494 2319 1581 2169 +Q 1719 2375 1834 2534 +L 2394 3319 +L 3066 3319 +L 1919 1756 +L 3153 0 +L 2463 0 +L 1781 1031 +L 1600 1309 +L 728 0 +L 47 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-63" d="M 2588 1216 +L 3141 1144 +Q 3050 572 2676 248 +Q 2303 -75 1759 -75 +Q 1078 -75 664 370 +Q 250 816 250 1647 +Q 250 2184 428 2587 +Q 606 2991 970 3192 +Q 1334 3394 1763 3394 +Q 2303 3394 2647 3120 +Q 2991 2847 3088 2344 +L 2541 2259 +Q 2463 2594 2264 2762 +Q 2066 2931 1784 2931 +Q 1359 2931 1093 2626 +Q 828 2322 828 1663 +Q 828 994 1084 691 +Q 1341 388 1753 388 +Q 2084 388 2306 591 +Q 2528 794 2588 1216 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-64" d="M 2575 0 +L 2575 419 +Q 2259 -75 1647 -75 +Q 1250 -75 917 144 +Q 584 363 401 755 +Q 219 1147 219 1656 +Q 219 2153 384 2558 +Q 550 2963 881 3178 +Q 1213 3394 1622 3394 +Q 1922 3394 2156 3267 +Q 2391 3141 2538 2938 +L 2538 4581 +L 3097 4581 +L 3097 0 +L 2575 0 +z +M 797 1656 +Q 797 1019 1065 703 +Q 1334 388 1700 388 +Q 2069 388 2326 689 +Q 2584 991 2584 1609 +Q 2584 2291 2321 2609 +Q 2059 2928 1675 2928 +Q 1300 2928 1048 2622 +Q 797 2316 797 1656 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6e" d="M 422 0 +L 422 3319 +L 928 3319 +L 928 2847 +Q 1294 3394 1984 3394 +Q 2284 3394 2536 3286 +Q 2788 3178 2913 3003 +Q 3038 2828 3088 2588 +Q 3119 2431 3119 2041 +L 3119 0 +L 2556 0 +L 2556 2019 +Q 2556 2363 2490 2533 +Q 2425 2703 2258 2804 +Q 2091 2906 1866 2906 +Q 1506 2906 1245 2678 +Q 984 2450 984 1813 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-46" d="M 1081 4666 +L 3756 4666 +L 3653 4134 +L 1606 4134 +L 1338 2759 +L 3188 2759 +L 3084 2228 +L 1234 2228 +L 800 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-6e" d="M 3566 2113 +L 3156 0 +L 2578 0 +L 2988 2091 +Q 3016 2238 3031 2350 +Q 3047 2463 3047 2528 +Q 3047 2791 2881 2937 +Q 2716 3084 2419 3084 +Q 1956 3084 1622 2776 +Q 1288 2469 1184 1941 +L 800 0 +L 225 0 +L 903 3500 +L 1478 3500 +L 1363 2950 +Q 1603 3253 1940 3418 +Q 2278 3584 2650 3584 +Q 3113 3584 3367 3334 +Q 3622 3084 3622 2631 +Q 3622 2519 3608 2391 +Q 3594 2263 3566 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-50" transform="translate(0 0.125)"/> + <use xlink:href="#ArialMT-72" transform="translate(66.699219 0.125)"/> + <use xlink:href="#ArialMT-6f" transform="translate(100 0.125)"/> + <use xlink:href="#ArialMT-62" transform="translate(155.615234 0.125)"/> + <use xlink:href="#ArialMT-61" transform="translate(211.230469 0.125)"/> + <use xlink:href="#ArialMT-62" transform="translate(266.845703 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(322.460938 0.125)"/> + <use xlink:href="#ArialMT-6c" transform="translate(344.677734 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(366.894531 0.125)"/> + <use xlink:href="#ArialMT-74" transform="translate(389.111328 0.125)"/> + <use xlink:href="#ArialMT-79" transform="translate(416.894531 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(466.894531 0.125)"/> + <use xlink:href="#ArialMT-6f" transform="translate(494.677734 0.125)"/> + <use xlink:href="#ArialMT-66" transform="translate(550.292969 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(578.076172 0.125)"/> + <use xlink:href="#ArialMT-45" transform="translate(605.859375 0.125)"/> + <use xlink:href="#ArialMT-78" transform="translate(672.558594 0.125)"/> + <use xlink:href="#ArialMT-63" transform="translate(722.558594 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(772.558594 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(828.173828 0.125)"/> + <use xlink:href="#ArialMT-64" transform="translate(883.789062 0.125)"/> + <use xlink:href="#ArialMT-61" transform="translate(939.404297 0.125)"/> + <use xlink:href="#ArialMT-6e" transform="translate(995.019531 0.125)"/> + <use xlink:href="#ArialMT-63" transform="translate(1050.634766 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(1100.634766 0.125)"/> + <use xlink:href="#ArialMT-2c" transform="translate(1156.25 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(1184.033203 0.125)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(1211.816406 0.125)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1294.921875 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-46" transform="translate(1398.193359 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(1455.712891 -16.28125) scale(0.7)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(1510.810547 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(1549.824219 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(1613.203125 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(1652.216797 0.125)"/> + <use xlink:href="#ArialMT-5b" transform="translate(1680 0.125)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1707.783203 0.125)"/> + <use xlink:href="#ArialMT-5d" transform="translate(1791.572266 0.125)"/> + </g> + </g> + </g> + <g id="line2d_75"> + <path d="M 72 111.23121 +L 116.793263 124.043642 +L 176.006737 143.702812 +L 220.8 161.374143 +L 265.593263 182.498435 +L 291.795643 197.079106 +L 310.386527 208.758661 +L 324.806737 218.77162 +L 336.588906 227.699139 +L 346.550588 235.865492 +L 355.17979 243.472048 +L 362.791285 250.65355 +L 369.6 257.505339 +L 381.382169 270.485302 +L 395.802379 288.805392 +L 407.584549 306.434592 +L 414.393263 318.067037 +L 420.552495 329.743924 +L 428.813473 347.561424 +L 434.972705 362.870053 +L 440.595643 378.734326 +L 450.557325 412.129312 +L 456.108197 433 +" clip-path="url(#pb2a446bfb9)" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 72 384.48 +L 72 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 518.4 384.48 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 72 384.48 +L 518.4 384.48 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 72 51.84 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="legend_1"> + <g id="patch_7"> + <path d="M 377.7675 87.2725 +L 507.2 87.2725 +Q 510.4 87.2725 510.4 84.0725 +L 510.4 63.04 +Q 510.4 59.84 507.2 59.84 +L 377.7675 59.84 +Q 374.5675 59.84 374.5675 63.04 +L 374.5675 84.0725 +Q 374.5675 87.2725 377.7675 87.2725 +z +" style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/> + </g> + <g id="line2d_76"> + <path d="M 380.9675 72.0925 +L 396.9675 72.0925 +L 412.9675 72.0925 +" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_12"> + <!-- Risk Curve --> + <g transform="translate(425.7675 77.6925) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-52" d="M 503 0 +L 503 4581 +L 2534 4581 +Q 3147 4581 3465 4457 +Q 3784 4334 3975 4021 +Q 4166 3709 4166 3331 +Q 4166 2844 3850 2509 +Q 3534 2175 2875 2084 +Q 3116 1969 3241 1856 +Q 3506 1613 3744 1247 +L 4541 0 +L 3778 0 +L 3172 953 +Q 2906 1366 2734 1584 +Q 2563 1803 2427 1890 +Q 2291 1978 2150 2013 +Q 2047 2034 1813 2034 +L 1109 2034 +L 1109 0 +L 503 0 +z +M 1109 2559 +L 2413 2559 +Q 2828 2559 3062 2645 +Q 3297 2731 3419 2920 +Q 3541 3109 3541 3331 +Q 3541 3656 3305 3865 +Q 3069 4075 2559 4075 +L 1109 4075 +L 1109 2559 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6b" d="M 425 0 +L 425 4581 +L 988 4581 +L 988 1969 +L 2319 3319 +L 3047 3319 +L 1778 2088 +L 3175 0 +L 2481 0 +L 1384 1697 +L 988 1316 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-43" d="M 3763 1606 +L 4369 1453 +Q 4178 706 3683 314 +Q 3188 -78 2472 -78 +Q 1731 -78 1267 223 +Q 803 525 561 1097 +Q 319 1669 319 2325 +Q 319 3041 592 3573 +Q 866 4106 1370 4382 +Q 1875 4659 2481 4659 +Q 3169 4659 3637 4309 +Q 4106 3959 4291 3325 +L 3694 3184 +Q 3534 3684 3231 3912 +Q 2928 4141 2469 4141 +Q 1941 4141 1586 3887 +Q 1231 3634 1087 3207 +Q 944 2781 944 2328 +Q 944 1744 1114 1308 +Q 1284 872 1643 656 +Q 2003 441 2422 441 +Q 2931 441 3284 734 +Q 3638 1028 3763 1606 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-75" d="M 2597 0 +L 2597 488 +Q 2209 -75 1544 -75 +Q 1250 -75 995 37 +Q 741 150 617 320 +Q 494 491 444 738 +Q 409 903 409 1263 +L 409 3319 +L 972 3319 +L 972 1478 +Q 972 1038 1006 884 +Q 1059 663 1231 536 +Q 1403 409 1656 409 +Q 1909 409 2131 539 +Q 2353 669 2445 892 +Q 2538 1116 2538 1541 +L 2538 3319 +L 3100 3319 +L 3100 0 +L 2597 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-76" d="M 1344 0 +L 81 3319 +L 675 3319 +L 1388 1331 +Q 1503 1009 1600 663 +Q 1675 925 1809 1294 +L 2547 3319 +L 3125 3319 +L 1869 0 +L 1344 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-52"/> + <use xlink:href="#ArialMT-69" x="72.216797"/> + <use xlink:href="#ArialMT-73" x="94.433594"/> + <use xlink:href="#ArialMT-6b" x="144.433594"/> + <use xlink:href="#ArialMT-20" x="194.433594"/> + <use xlink:href="#ArialMT-43" x="222.216797"/> + <use xlink:href="#ArialMT-75" x="294.433594"/> + <use xlink:href="#ArialMT-72" x="350.048828"/> + <use xlink:href="#ArialMT-76" x="383.349609"/> + <use xlink:href="#ArialMT-65" x="433.349609"/> + </g> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="pb2a446bfb9"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/periodic_investments.png b/book/figures/periodic_investments.png new file mode 100644 index 0000000..a308f86 Binary files /dev/null and b/book/figures/periodic_investments.png differ diff --git a/book/figures/present_value.svg b/book/figures/present_value.svg new file mode 100644 index 0000000..128836d --- /dev/null +++ b/book/figures/present_value.svg @@ -0,0 +1,1165 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2024-02-18T08:24:49.284314</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.8.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <path d="M 92.290909 384.48 +L 92.290909 51.84 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_2"> + <defs> + <path id="m21eb25939a" d="M 0 0 +L 0 8 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#m21eb25939a" x="92.290909" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_1"> + <!-- 0 --> + <g transform="translate(88.155284 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_3"> + <path d="M 172.650945 384.48 +L 172.650945 51.84 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_4"> + <g> + <use xlink:href="#m21eb25939a" x="172.650945" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_2"> + <!-- 20 --> + <g transform="translate(164.379695 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_5"> + <path d="M 253.010981 384.48 +L 253.010981 51.84 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_6"> + <g> + <use xlink:href="#m21eb25939a" x="253.010981" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_3"> + <!-- 40 --> + <g transform="translate(244.739731 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-34"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_7"> + <path d="M 333.371017 384.48 +L 333.371017 51.84 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_8"> + <g> + <use xlink:href="#m21eb25939a" x="333.371017" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_4"> + <!-- 60 --> + <g transform="translate(325.099767 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_9"> + <path d="M 413.731053 384.48 +L 413.731053 51.84 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_10"> + <g> + <use xlink:href="#m21eb25939a" x="413.731053" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_5"> + <!-- 80 --> + <g transform="translate(405.459803 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_11"> + <path d="M 494.091089 384.48 +L 494.091089 51.84 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_12"> + <g> + <use xlink:href="#m21eb25939a" x="494.091089" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_6"> + <!-- 100 --> + <g transform="translate(481.684214 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_7"> + <!-- Year --> + <g transform="translate(279.0325 424.014063) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-59" d="M 1784 0 +L 1784 1941 +L 19 4581 +L 756 4581 +L 1659 3200 +Q 1909 2813 2125 2425 +Q 2331 2784 2625 3234 +L 3513 4581 +L 4219 4581 +L 2391 1941 +L 2391 0 +L 1784 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-65" d="M 2694 1069 +L 3275 997 +Q 3138 488 2766 206 +Q 2394 -75 1816 -75 +Q 1088 -75 661 373 +Q 234 822 234 1631 +Q 234 2469 665 2931 +Q 1097 3394 1784 3394 +Q 2450 3394 2872 2941 +Q 3294 2488 3294 1666 +Q 3294 1616 3291 1516 +L 816 1516 +Q 847 969 1125 678 +Q 1403 388 1819 388 +Q 2128 388 2347 550 +Q 2566 713 2694 1069 +z +M 847 1978 +L 2700 1978 +Q 2663 2397 2488 2606 +Q 2219 2931 1791 2931 +Q 1403 2931 1139 2672 +Q 875 2413 847 1978 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-61" d="M 2588 409 +Q 2275 144 1986 34 +Q 1697 -75 1366 -75 +Q 819 -75 525 192 +Q 231 459 231 875 +Q 231 1119 342 1320 +Q 453 1522 633 1644 +Q 813 1766 1038 1828 +Q 1203 1872 1538 1913 +Q 2219 1994 2541 2106 +Q 2544 2222 2544 2253 +Q 2544 2597 2384 2738 +Q 2169 2928 1744 2928 +Q 1347 2928 1158 2789 +Q 969 2650 878 2297 +L 328 2372 +Q 403 2725 575 2942 +Q 747 3159 1072 3276 +Q 1397 3394 1825 3394 +Q 2250 3394 2515 3294 +Q 2781 3194 2906 3042 +Q 3031 2891 3081 2659 +Q 3109 2516 3109 2141 +L 3109 1391 +Q 3109 606 3145 398 +Q 3181 191 3288 0 +L 2700 0 +Q 2613 175 2588 409 +z +M 2541 1666 +Q 2234 1541 1622 1453 +Q 1275 1403 1131 1340 +Q 988 1278 909 1158 +Q 831 1038 831 891 +Q 831 666 1001 516 +Q 1172 366 1500 366 +Q 1825 366 2078 508 +Q 2331 650 2450 897 +Q 2541 1088 2541 1459 +L 2541 1666 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-72" d="M 416 0 +L 416 3319 +L 922 3319 +L 922 2816 +Q 1116 3169 1280 3281 +Q 1444 3394 1641 3394 +Q 1925 3394 2219 3213 +L 2025 2691 +Q 1819 2813 1613 2813 +Q 1428 2813 1281 2702 +Q 1134 2591 1072 2394 +Q 978 2094 978 1738 +L 978 0 +L 416 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-59"/> + <use xlink:href="#ArialMT-65" x="57.574219"/> + <use xlink:href="#ArialMT-61" x="113.189453"/> + <use xlink:href="#ArialMT-72" x="168.804688"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_13"> + <path d="M 72 375.228979 +L 518.4 375.228979 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_14"> + <defs> + <path id="ma6613aae57" d="M 0 0 +L -8 0 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#ma6613aae57" x="72" y="375.228979" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_8"> + <!-- 0.0 --> + <g transform="translate(39.825937 380.167963) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_15"> + <path d="M 72 313.575183 +L 518.4 313.575183 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_16"> + <g> + <use xlink:href="#ma6613aae57" x="72" y="313.575183" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_9"> + <!-- 0.2 --> + <g transform="translate(39.825937 318.514168) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-32" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_17"> + <path d="M 72 251.921387 +L 518.4 251.921387 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_18"> + <g> + <use xlink:href="#ma6613aae57" x="72" y="251.921387" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_10"> + <!-- 0.4 --> + <g transform="translate(39.825937 256.860372) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-34" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_19"> + <path d="M 72 190.267592 +L 518.4 190.267592 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_20"> + <g> + <use xlink:href="#ma6613aae57" x="72" y="190.267592" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_11"> + <!-- 0.6 --> + <g transform="translate(39.825937 195.206576) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-36" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_21"> + <path d="M 72 128.613796 +L 518.4 128.613796 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_22"> + <g> + <use xlink:href="#ma6613aae57" x="72" y="128.613796" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_12"> + <!-- 0.8 --> + <g transform="translate(39.825937 133.55278) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-38" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_23"> + <path d="M 72 66.96 +L 518.4 66.96 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_24"> + <g> + <use xlink:href="#ma6613aae57" x="72" y="66.96" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_13"> + <!-- 1.0 --> + <g transform="translate(39.825937 71.898984) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + </g> + </g> + </g> + <g id="text_14"> + <!-- Normalized Present Value [$-$] --> + <g transform="translate(32.625937 324.48) rotate(-90) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-4e" d="M 488 0 +L 488 4581 +L 1109 4581 +L 3516 984 +L 3516 4581 +L 4097 4581 +L 4097 0 +L 3475 0 +L 1069 3600 +L 1069 0 +L 488 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6f" d="M 213 1659 +Q 213 2581 725 3025 +Q 1153 3394 1769 3394 +Q 2453 3394 2887 2945 +Q 3322 2497 3322 1706 +Q 3322 1066 3130 698 +Q 2938 331 2570 128 +Q 2203 -75 1769 -75 +Q 1072 -75 642 372 +Q 213 819 213 1659 +z +M 791 1659 +Q 791 1022 1069 705 +Q 1347 388 1769 388 +Q 2188 388 2466 706 +Q 2744 1025 2744 1678 +Q 2744 2294 2464 2611 +Q 2184 2928 1769 2928 +Q 1347 2928 1069 2612 +Q 791 2297 791 1659 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6d" d="M 422 0 +L 422 3319 +L 925 3319 +L 925 2853 +Q 1081 3097 1340 3245 +Q 1600 3394 1931 3394 +Q 2300 3394 2536 3241 +Q 2772 3088 2869 2813 +Q 3263 3394 3894 3394 +Q 4388 3394 4653 3120 +Q 4919 2847 4919 2278 +L 4919 0 +L 4359 0 +L 4359 2091 +Q 4359 2428 4304 2576 +Q 4250 2725 4106 2815 +Q 3963 2906 3769 2906 +Q 3419 2906 3187 2673 +Q 2956 2441 2956 1928 +L 2956 0 +L 2394 0 +L 2394 2156 +Q 2394 2531 2256 2718 +Q 2119 2906 1806 2906 +Q 1569 2906 1367 2781 +Q 1166 2656 1075 2415 +Q 984 2175 984 1722 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6c" d="M 409 0 +L 409 4581 +L 972 4581 +L 972 0 +L 409 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-69" d="M 425 3934 +L 425 4581 +L 988 4581 +L 988 3934 +L 425 3934 +z +M 425 0 +L 425 3319 +L 988 3319 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-7a" d="M 125 0 +L 125 456 +L 2238 2881 +Q 1878 2863 1603 2863 +L 250 2863 +L 250 3319 +L 2963 3319 +L 2963 2947 +L 1166 841 +L 819 456 +Q 1197 484 1528 484 +L 3063 484 +L 3063 0 +L 125 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-64" d="M 2575 0 +L 2575 419 +Q 2259 -75 1647 -75 +Q 1250 -75 917 144 +Q 584 363 401 755 +Q 219 1147 219 1656 +Q 219 2153 384 2558 +Q 550 2963 881 3178 +Q 1213 3394 1622 3394 +Q 1922 3394 2156 3267 +Q 2391 3141 2538 2938 +L 2538 4581 +L 3097 4581 +L 3097 0 +L 2575 0 +z +M 797 1656 +Q 797 1019 1065 703 +Q 1334 388 1700 388 +Q 2069 388 2326 689 +Q 2584 991 2584 1609 +Q 2584 2291 2321 2609 +Q 2059 2928 1675 2928 +Q 1300 2928 1048 2622 +Q 797 2316 797 1656 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-20" transform="scale(0.015625)"/> + <path id="ArialMT-50" d="M 494 0 +L 494 4581 +L 2222 4581 +Q 2678 4581 2919 4538 +Q 3256 4481 3484 4323 +Q 3713 4166 3852 3881 +Q 3991 3597 3991 3256 +Q 3991 2672 3619 2267 +Q 3247 1863 2275 1863 +L 1100 1863 +L 1100 0 +L 494 0 +z +M 1100 2403 +L 2284 2403 +Q 2872 2403 3119 2622 +Q 3366 2841 3366 3238 +Q 3366 3525 3220 3729 +Q 3075 3934 2838 4000 +Q 2684 4041 2272 4041 +L 1100 4041 +L 1100 2403 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-73" d="M 197 991 +L 753 1078 +Q 800 744 1014 566 +Q 1228 388 1613 388 +Q 2000 388 2187 545 +Q 2375 703 2375 916 +Q 2375 1106 2209 1216 +Q 2094 1291 1634 1406 +Q 1016 1563 777 1677 +Q 538 1791 414 1992 +Q 291 2194 291 2438 +Q 291 2659 392 2848 +Q 494 3038 669 3163 +Q 800 3259 1026 3326 +Q 1253 3394 1513 3394 +Q 1903 3394 2198 3281 +Q 2494 3169 2634 2976 +Q 2775 2784 2828 2463 +L 2278 2388 +Q 2241 2644 2061 2787 +Q 1881 2931 1553 2931 +Q 1166 2931 1000 2803 +Q 834 2675 834 2503 +Q 834 2394 903 2306 +Q 972 2216 1119 2156 +Q 1203 2125 1616 2013 +Q 2213 1853 2448 1751 +Q 2684 1650 2818 1456 +Q 2953 1263 2953 975 +Q 2953 694 2789 445 +Q 2625 197 2315 61 +Q 2006 -75 1616 -75 +Q 969 -75 630 194 +Q 291 463 197 991 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6e" d="M 422 0 +L 422 3319 +L 928 3319 +L 928 2847 +Q 1294 3394 1984 3394 +Q 2284 3394 2536 3286 +Q 2788 3178 2913 3003 +Q 3038 2828 3088 2588 +Q 3119 2431 3119 2041 +L 3119 0 +L 2556 0 +L 2556 2019 +Q 2556 2363 2490 2533 +Q 2425 2703 2258 2804 +Q 2091 2906 1866 2906 +Q 1506 2906 1245 2678 +Q 984 2450 984 1813 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-74" d="M 1650 503 +L 1731 6 +Q 1494 -44 1306 -44 +Q 1000 -44 831 53 +Q 663 150 594 308 +Q 525 466 525 972 +L 525 2881 +L 113 2881 +L 113 3319 +L 525 3319 +L 525 4141 +L 1084 4478 +L 1084 3319 +L 1650 3319 +L 1650 2881 +L 1084 2881 +L 1084 941 +Q 1084 700 1114 631 +Q 1144 563 1211 522 +Q 1278 481 1403 481 +Q 1497 481 1650 503 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-56" d="M 1803 0 +L 28 4581 +L 684 4581 +L 1875 1253 +Q 2019 853 2116 503 +Q 2222 878 2363 1253 +L 3600 4581 +L 4219 4581 +L 2425 0 +L 1803 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-75" d="M 2597 0 +L 2597 488 +Q 2209 -75 1544 -75 +Q 1250 -75 995 37 +Q 741 150 617 320 +Q 494 491 444 738 +Q 409 903 409 1263 +L 409 3319 +L 972 3319 +L 972 1478 +Q 972 1038 1006 884 +Q 1059 663 1231 536 +Q 1403 409 1656 409 +Q 1909 409 2131 539 +Q 2353 669 2445 892 +Q 2538 1116 2538 1541 +L 2538 3319 +L 3100 3319 +L 3100 0 +L 2597 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5b" d="M 434 -1272 +L 434 4581 +L 1675 4581 +L 1675 4116 +L 997 4116 +L 997 -806 +L 1675 -806 +L 1675 -1272 +L 434 -1272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5d" d="M 1363 -1272 +L 122 -1272 +L 122 -806 +L 800 -806 +L 800 4116 +L 122 4116 +L 122 4581 +L 1363 4581 +L 1363 -1272 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-4e" transform="translate(0 0.421875)"/> + <use xlink:href="#ArialMT-6f" transform="translate(72.216797 0.421875)"/> + <use xlink:href="#ArialMT-72" transform="translate(127.832031 0.421875)"/> + <use xlink:href="#ArialMT-6d" transform="translate(161.132812 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(244.433594 0.421875)"/> + <use xlink:href="#ArialMT-6c" transform="translate(300.048828 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(322.265625 0.421875)"/> + <use xlink:href="#ArialMT-7a" transform="translate(344.482422 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(394.482422 0.421875)"/> + <use xlink:href="#ArialMT-64" transform="translate(450.097656 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(505.712891 0.421875)"/> + <use xlink:href="#ArialMT-50" transform="translate(533.496094 0.421875)"/> + <use xlink:href="#ArialMT-72" transform="translate(600.195312 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(633.496094 0.421875)"/> + <use xlink:href="#ArialMT-73" transform="translate(689.111328 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(739.111328 0.421875)"/> + <use xlink:href="#ArialMT-6e" transform="translate(794.726562 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(850.341797 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(878.125 0.421875)"/> + <use xlink:href="#ArialMT-56" transform="translate(905.908203 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(972.607422 0.421875)"/> + <use xlink:href="#ArialMT-6c" transform="translate(1028.222656 0.421875)"/> + <use xlink:href="#ArialMT-75" transform="translate(1050.439453 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(1106.054688 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(1161.669922 0.421875)"/> + <use xlink:href="#ArialMT-5b" transform="translate(1189.453125 0.421875)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1217.236328 0.421875)"/> + <use xlink:href="#ArialMT-5d" transform="translate(1301.025391 0.421875)"/> + </g> + </g> + </g> + <g id="line2d_25"> + <path d="M 92.290909 66.96 +L 100.572913 79.289477 +L 108.854917 91.125825 +L 117.13692 102.488769 +L 125.418924 113.397243 +L 133.700928 123.869423 +L 141.982931 133.922759 +L 150.264935 143.574004 +L 158.546939 152.839239 +L 166.828942 161.733903 +L 175.110946 170.272818 +L 183.39295 178.470212 +L 191.674954 186.339744 +L 199.956957 193.894527 +L 208.238961 201.147151 +L 216.520965 208.1097 +L 224.802968 214.793775 +L 233.084972 221.210516 +L 241.366976 227.370614 +L 249.64898 233.284333 +L 257.930983 238.961528 +L 266.212987 244.411659 +L 274.494991 249.643808 +L 282.776994 254.666692 +L 291.058998 259.488682 +L 299.341002 264.117812 +L 307.623006 268.561797 +L 315.905009 272.82804 +L 324.187013 276.923652 +L 332.469017 280.855456 +L 340.75102 284.630004 +L 349.033024 288.253586 +L 357.315028 291.73224 +L 365.597032 295.071762 +L 373.879035 298.277717 +L 382.161039 301.355447 +L 390.443043 304.310081 +L 398.725046 307.146542 +L 407.00705 309.869556 +L 415.289054 312.483661 +L 423.571058 314.993213 +L 431.853061 317.402393 +L 440.135065 319.715216 +L 448.417069 321.935535 +L 456.699072 324.067051 +L 464.981076 326.113316 +L 473.26308 328.077738 +L 481.545083 329.963591 +L 489.827087 331.774018 +L 498.109091 333.512036 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #0c2340; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="line2d_26"> + <path d="M 92.290909 66.96 +L 100.572913 90.900548 +L 108.854917 112.981844 +L 117.13692 133.34828 +L 125.418924 152.133032 +L 133.700928 169.458938 +L 141.982931 185.439293 +L 150.264935 200.178594 +L 158.546939 213.773222 +L 166.828942 226.312075 +L 175.110946 237.877145 +L 183.39295 248.544057 +L 191.674954 258.382564 +L 199.956957 267.457001 +L 208.238961 275.826705 +L 216.520965 283.546408 +L 224.802968 290.66659 +L 233.084972 297.233809 +L 241.366976 303.29101 +L 249.64898 308.877801 +L 257.930983 314.030715 +L 266.212987 318.783448 +L 274.494991 323.167077 +L 282.776994 327.210268 +L 291.058998 330.939461 +L 299.341002 334.379039 +L 307.623006 337.551496 +L 315.905009 340.477575 +L 324.187013 343.176412 +L 332.469017 345.665654 +L 340.75102 347.961578 +L 349.033024 350.079198 +L 357.315028 352.032361 +L 365.597032 353.833839 +L 373.879035 355.495412 +L 382.161039 357.027945 +L 390.443043 358.44146 +L 398.725046 359.745199 +L 407.00705 360.947689 +L 415.289054 362.056791 +L 423.571058 363.079759 +L 431.853061 364.023283 +L 440.135065 364.893531 +L 448.417069 365.696195 +L 456.699072 366.436522 +L 464.981076 367.119355 +L 473.26308 367.749159 +L 481.545083 368.330051 +L 489.827087 368.86583 +L 498.109091 369.36 +" clip-path="url(#pb535d8c8f0)" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 72 384.48 +L 72 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 518.4 384.48 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 72 384.48 +L 518.4 384.48 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 72 51.84 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="legend_1"> + <g id="patch_7"> + <path d="M 432.875 109.905 +L 507.2 109.905 +Q 510.4 109.905 510.4 106.705 +L 510.4 63.04 +Q 510.4 59.84 507.2 59.84 +L 432.875 59.84 +Q 429.675 59.84 429.675 63.04 +L 429.675 106.705 +Q 429.675 109.905 432.875 109.905 +z +" style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/> + </g> + <g id="line2d_27"> + <path d="M 436.075 72.0925 +L 452.075 72.0925 +L 468.075 72.0925 +" style="fill: none; stroke: #0c2340; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_15"> + <!-- 2% --> + <g transform="translate(480.875 77.6925) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-32" d="M 3222 541 +L 3222 0 +L 194 0 +Q 188 203 259 391 +Q 375 700 629 1000 +Q 884 1300 1366 1694 +Q 2113 2306 2375 2664 +Q 2638 3022 2638 3341 +Q 2638 3675 2398 3904 +Q 2159 4134 1775 4134 +Q 1369 4134 1125 3890 +Q 881 3647 878 3216 +L 300 3275 +Q 359 3922 746 4261 +Q 1134 4600 1788 4600 +Q 2447 4600 2831 4234 +Q 3216 3869 3216 3328 +Q 3216 3053 3103 2787 +Q 2991 2522 2730 2228 +Q 2469 1934 1863 1422 +Q 1356 997 1212 845 +Q 1069 694 975 541 +L 3222 541 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-25" d="M 372 3481 +Q 372 3972 619 4315 +Q 866 4659 1334 4659 +Q 1766 4659 2048 4351 +Q 2331 4044 2331 3447 +Q 2331 2866 2045 2552 +Q 1759 2238 1341 2238 +Q 925 2238 648 2547 +Q 372 2856 372 3481 +z +M 1350 4272 +Q 1141 4272 1002 4090 +Q 863 3909 863 3425 +Q 863 2984 1003 2804 +Q 1144 2625 1350 2625 +Q 1563 2625 1702 2806 +Q 1841 2988 1841 3469 +Q 1841 3913 1700 4092 +Q 1559 4272 1350 4272 +z +M 1353 -169 +L 3859 4659 +L 4316 4659 +L 1819 -169 +L 1353 -169 +z +M 3334 1075 +Q 3334 1569 3581 1911 +Q 3828 2253 4300 2253 +Q 4731 2253 5014 1945 +Q 5297 1638 5297 1041 +Q 5297 459 5011 145 +Q 4725 -169 4303 -169 +Q 3888 -169 3611 142 +Q 3334 453 3334 1075 +z +M 4316 1866 +Q 4103 1866 3964 1684 +Q 3825 1503 3825 1019 +Q 3825 581 3965 400 +Q 4106 219 4313 219 +Q 4528 219 4667 400 +Q 4806 581 4806 1063 +Q 4806 1506 4665 1686 +Q 4525 1866 4316 1866 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-32"/> + <use xlink:href="#ArialMT-25" x="55.615234"/> + </g> + </g> + <g id="line2d_28"> + <path d="M 436.075 94.725 +L 452.075 94.725 +L 468.075 94.725 +" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_16"> + <!-- 4% --> + <g transform="translate(480.875 100.325) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-34" d="M 2069 0 +L 2069 1097 +L 81 1097 +L 81 1613 +L 2172 4581 +L 2631 4581 +L 2631 1613 +L 3250 1613 +L 3250 1097 +L 2631 1097 +L 2631 0 +L 2069 0 +z +M 2069 1613 +L 2069 3678 +L 634 1613 +L 2069 1613 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-34"/> + <use xlink:href="#ArialMT-25" x="55.615234"/> + </g> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="pb535d8c8f0"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/present_value_py.svg b/book/figures/present_value_py.svg new file mode 100644 index 0000000..e375ac3 --- /dev/null +++ b/book/figures/present_value_py.svg @@ -0,0 +1,1089 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="460.8pt" height="345.6pt" viewBox="0 0 460.8 345.6" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-11-08T14:23:21.686977</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 345.6 +L 460.8 345.6 +L 460.8 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 57.6 307.584 +L 414.72 307.584 +L 414.72 41.472 +L 57.6 41.472 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <path d="M 73.832727 307.584 +L 73.832727 41.472 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_2"> + <defs> + <path id="m505a8e651d" d="M 0 0 +L 0 3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m505a8e651d" x="73.832727" y="307.584" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_1"> + <!-- 0 --> + <g transform="translate(68.742727 326.7415)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_3"> + <path d="M 138.120756 307.584 +L 138.120756 41.472 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_4"> + <g> + <use xlink:href="#m505a8e651d" x="138.120756" y="307.584" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_2"> + <!-- 20 --> + <g transform="translate(127.940756 326.7415)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_5"> + <path d="M 202.408785 307.584 +L 202.408785 41.472 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_6"> + <g> + <use xlink:href="#m505a8e651d" x="202.408785" y="307.584" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_3"> + <!-- 40 --> + <g transform="translate(192.228785 326.7415)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-34"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_7"> + <path d="M 266.696814 307.584 +L 266.696814 41.472 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_8"> + <g> + <use xlink:href="#m505a8e651d" x="266.696814" y="307.584" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_4"> + <!-- 60 --> + <g transform="translate(256.516814 326.7415)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_9"> + <path d="M 330.984842 307.584 +L 330.984842 41.472 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_10"> + <g> + <use xlink:href="#m505a8e651d" x="330.984842" y="307.584" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_5"> + <!-- 80 --> + <g transform="translate(320.804842 326.7415)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_11"> + <path d="M 395.272871 307.584 +L 395.272871 41.472 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_12"> + <g> + <use xlink:href="#m505a8e651d" x="395.272871" y="307.584" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_6"> + <!-- 100 --> + <g transform="translate(380.002871 326.7415)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_7"> + <!-- Year --> + <g transform="translate(219.22 346.2265)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-59" d="M -13 4666 +L 666 4666 +L 1959 2747 +L 3244 4666 +L 3922 4666 +L 2272 2222 +L 2272 0 +L 1638 0 +L 1638 2222 +L -13 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-65" d="M 3597 1894 +L 3597 1613 +L 953 1613 +Q 991 1019 1311 708 +Q 1631 397 2203 397 +Q 2534 397 2845 478 +Q 3156 559 3463 722 +L 3463 178 +Q 3153 47 2828 -22 +Q 2503 -91 2169 -91 +Q 1331 -91 842 396 +Q 353 884 353 1716 +Q 353 2575 817 3079 +Q 1281 3584 2069 3584 +Q 2775 3584 3186 3129 +Q 3597 2675 3597 1894 +z +M 3022 2063 +Q 3016 2534 2758 2815 +Q 2500 3097 2075 3097 +Q 1594 3097 1305 2825 +Q 1016 2553 972 2059 +L 3022 2063 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-61" d="M 2194 1759 +Q 1497 1759 1228 1600 +Q 959 1441 959 1056 +Q 959 750 1161 570 +Q 1363 391 1709 391 +Q 2188 391 2477 730 +Q 2766 1069 2766 1631 +L 2766 1759 +L 2194 1759 +z +M 3341 1997 +L 3341 0 +L 2766 0 +L 2766 531 +Q 2569 213 2275 61 +Q 1981 -91 1556 -91 +Q 1019 -91 701 211 +Q 384 513 384 1019 +Q 384 1609 779 1909 +Q 1175 2209 1959 2209 +L 2766 2209 +L 2766 2266 +Q 2766 2663 2505 2880 +Q 2244 3097 1772 3097 +Q 1472 3097 1187 3025 +Q 903 2953 641 2809 +L 641 3341 +Q 956 3463 1253 3523 +Q 1550 3584 1831 3584 +Q 2591 3584 2966 3190 +Q 3341 2797 3341 1997 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-72" d="M 2631 2963 +Q 2534 3019 2420 3045 +Q 2306 3072 2169 3072 +Q 1681 3072 1420 2755 +Q 1159 2438 1159 1844 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1341 3275 1631 3429 +Q 1922 3584 2338 3584 +Q 2397 3584 2469 3576 +Q 2541 3569 2628 3553 +L 2631 2963 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-59"/> + <use xlink:href="#DejaVuSans-65" x="47.833984"/> + <use xlink:href="#DejaVuSans-61" x="109.357422"/> + <use xlink:href="#DejaVuSans-72" x="170.636719"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_13"> + <path d="M 57.6 300.183183 +L 414.72 300.183183 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_14"> + <defs> + <path id="m2725708ff2" d="M 0 0 +L -3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m2725708ff2" x="57.6" y="300.183183" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_8"> + <!-- 0.0 --> + <g transform="translate(25.155 306.261933)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_15"> + <path d="M 57.6 250.860147 +L 414.72 250.860147 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_16"> + <g> + <use xlink:href="#m2725708ff2" x="57.6" y="250.860147" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_9"> + <!-- 0.2 --> + <g transform="translate(25.155 256.938897)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-32" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_17"> + <path d="M 57.6 201.53711 +L 414.72 201.53711 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_18"> + <g> + <use xlink:href="#m2725708ff2" x="57.6" y="201.53711" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_10"> + <!-- 0.4 --> + <g transform="translate(25.155 207.61586)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-34" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_19"> + <path d="M 57.6 152.214073 +L 414.72 152.214073 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_20"> + <g> + <use xlink:href="#m2725708ff2" x="57.6" y="152.214073" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_11"> + <!-- 0.6 --> + <g transform="translate(25.155 158.292823)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-36" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_21"> + <path d="M 57.6 102.891037 +L 414.72 102.891037 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_22"> + <g> + <use xlink:href="#m2725708ff2" x="57.6" y="102.891037" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_12"> + <!-- 0.8 --> + <g transform="translate(25.155 108.969787)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-38" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_23"> + <path d="M 57.6 53.568 +L 414.72 53.568 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_24"> + <g> + <use xlink:href="#m2725708ff2" x="57.6" y="53.568" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_13"> + <!-- 1.0 --> + <g transform="translate(25.155 59.64675)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + </g> + </g> + </g> + <g id="text_14"> + <!-- Normalized Present Value [$-$] --> + <g transform="translate(17.8275 293.568)rotate(-90)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-4e" d="M 628 4666 +L 1478 4666 +L 3547 763 +L 3547 4666 +L 4159 4666 +L 4159 0 +L 3309 0 +L 1241 3903 +L 1241 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6f" d="M 1959 3097 +Q 1497 3097 1228 2736 +Q 959 2375 959 1747 +Q 959 1119 1226 758 +Q 1494 397 1959 397 +Q 2419 397 2687 759 +Q 2956 1122 2956 1747 +Q 2956 2369 2687 2733 +Q 2419 3097 1959 3097 +z +M 1959 3584 +Q 2709 3584 3137 3096 +Q 3566 2609 3566 1747 +Q 3566 888 3137 398 +Q 2709 -91 1959 -91 +Q 1206 -91 779 398 +Q 353 888 353 1747 +Q 353 2609 779 3096 +Q 1206 3584 1959 3584 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6d" d="M 3328 2828 +Q 3544 3216 3844 3400 +Q 4144 3584 4550 3584 +Q 5097 3584 5394 3201 +Q 5691 2819 5691 2113 +L 5691 0 +L 5113 0 +L 5113 2094 +Q 5113 2597 4934 2840 +Q 4756 3084 4391 3084 +Q 3944 3084 3684 2787 +Q 3425 2491 3425 1978 +L 3425 0 +L 2847 0 +L 2847 2094 +Q 2847 2600 2669 2842 +Q 2491 3084 2119 3084 +Q 1678 3084 1418 2786 +Q 1159 2488 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1356 3278 1631 3431 +Q 1906 3584 2284 3584 +Q 2666 3584 2933 3390 +Q 3200 3197 3328 2828 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6c" d="M 603 4863 +L 1178 4863 +L 1178 0 +L 603 0 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-69" d="M 603 3500 +L 1178 3500 +L 1178 0 +L 603 0 +L 603 3500 +z +M 603 4863 +L 1178 4863 +L 1178 4134 +L 603 4134 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-7a" d="M 353 3500 +L 3084 3500 +L 3084 2975 +L 922 459 +L 3084 459 +L 3084 0 +L 275 0 +L 275 525 +L 2438 3041 +L 353 3041 +L 353 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-64" d="M 2906 2969 +L 2906 4863 +L 3481 4863 +L 3481 0 +L 2906 0 +L 2906 525 +Q 2725 213 2448 61 +Q 2172 -91 1784 -91 +Q 1150 -91 751 415 +Q 353 922 353 1747 +Q 353 2572 751 3078 +Q 1150 3584 1784 3584 +Q 2172 3584 2448 3432 +Q 2725 3281 2906 2969 +z +M 947 1747 +Q 947 1113 1208 752 +Q 1469 391 1925 391 +Q 2381 391 2643 752 +Q 2906 1113 2906 1747 +Q 2906 2381 2643 2742 +Q 2381 3103 1925 3103 +Q 1469 3103 1208 2742 +Q 947 2381 947 1747 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-50" d="M 1259 4147 +L 1259 2394 +L 2053 2394 +Q 2494 2394 2734 2622 +Q 2975 2850 2975 3272 +Q 2975 3691 2734 3919 +Q 2494 4147 2053 4147 +L 1259 4147 +z +M 628 4666 +L 2053 4666 +Q 2838 4666 3239 4311 +Q 3641 3956 3641 3272 +Q 3641 2581 3239 2228 +Q 2838 1875 2053 1875 +L 1259 1875 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-73" d="M 2834 3397 +L 2834 2853 +Q 2591 2978 2328 3040 +Q 2066 3103 1784 3103 +Q 1356 3103 1142 2972 +Q 928 2841 928 2578 +Q 928 2378 1081 2264 +Q 1234 2150 1697 2047 +L 1894 2003 +Q 2506 1872 2764 1633 +Q 3022 1394 3022 966 +Q 3022 478 2636 193 +Q 2250 -91 1575 -91 +Q 1294 -91 989 -36 +Q 684 19 347 128 +L 347 722 +Q 666 556 975 473 +Q 1284 391 1588 391 +Q 1994 391 2212 530 +Q 2431 669 2431 922 +Q 2431 1156 2273 1281 +Q 2116 1406 1581 1522 +L 1381 1569 +Q 847 1681 609 1914 +Q 372 2147 372 2553 +Q 372 3047 722 3315 +Q 1072 3584 1716 3584 +Q 2034 3584 2315 3537 +Q 2597 3491 2834 3397 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6e" d="M 3513 2113 +L 3513 0 +L 2938 0 +L 2938 2094 +Q 2938 2591 2744 2837 +Q 2550 3084 2163 3084 +Q 1697 3084 1428 2787 +Q 1159 2491 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1366 3272 1645 3428 +Q 1925 3584 2291 3584 +Q 2894 3584 3203 3211 +Q 3513 2838 3513 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-74" d="M 1172 4494 +L 1172 3500 +L 2356 3500 +L 2356 3053 +L 1172 3053 +L 1172 1153 +Q 1172 725 1289 603 +Q 1406 481 1766 481 +L 2356 481 +L 2356 0 +L 1766 0 +Q 1100 0 847 248 +Q 594 497 594 1153 +L 594 3053 +L 172 3053 +L 172 3500 +L 594 3500 +L 594 4494 +L 1172 4494 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-56" d="M 1831 0 +L 50 4666 +L 709 4666 +L 2188 738 +L 3669 4666 +L 4325 4666 +L 2547 0 +L 1831 0 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-75" d="M 544 1381 +L 544 3500 +L 1119 3500 +L 1119 1403 +Q 1119 906 1312 657 +Q 1506 409 1894 409 +Q 2359 409 2629 706 +Q 2900 1003 2900 1516 +L 2900 3500 +L 3475 3500 +L 3475 0 +L 2900 0 +L 2900 538 +Q 2691 219 2414 64 +Q 2138 -91 1772 -91 +Q 1169 -91 856 284 +Q 544 659 544 1381 +z +M 1991 3584 +L 1991 3584 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5b" d="M 550 4863 +L 1875 4863 +L 1875 4416 +L 1125 4416 +L 1125 -397 +L 1875 -397 +L 1875 -844 +L 550 -844 +L 550 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5d" d="M 1947 4863 +L 1947 -844 +L 622 -844 +L 622 -397 +L 1369 -397 +L 1369 4416 +L 622 4416 +L 622 4863 +L 1947 4863 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-4e" transform="translate(0 0.015625)"/> + <use xlink:href="#DejaVuSans-6f" transform="translate(74.804688 0.015625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(135.986328 0.015625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(177.099609 0.015625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(274.511719 0.015625)"/> + <use xlink:href="#DejaVuSans-6c" transform="translate(335.791016 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(363.574219 0.015625)"/> + <use xlink:href="#DejaVuSans-7a" transform="translate(391.357422 0.015625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(443.847656 0.015625)"/> + <use xlink:href="#DejaVuSans-64" transform="translate(505.371094 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(568.847656 0.015625)"/> + <use xlink:href="#DejaVuSans-50" transform="translate(600.634766 0.015625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(660.9375 0.015625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(702.050781 0.015625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(763.574219 0.015625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(815.673828 0.015625)"/> + <use xlink:href="#DejaVuSans-6e" transform="translate(877.197266 0.015625)"/> + <use xlink:href="#DejaVuSans-74" transform="translate(940.576172 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(979.785156 0.015625)"/> + <use xlink:href="#DejaVuSans-56" transform="translate(1011.572266 0.015625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(1079.980469 0.015625)"/> + <use xlink:href="#DejaVuSans-6c" transform="translate(1141.259766 0.015625)"/> + <use xlink:href="#DejaVuSans-75" transform="translate(1169.042969 0.015625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(1232.421875 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(1293.945312 0.015625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(1325.732422 0.015625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1364.746094 0.015625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(1448.535156 0.015625)"/> + </g> + </g> + </g> + <g id="line2d_25"> + <path d="M 73.832727 53.568 +L 80.45833 63.431581 +L 87.083933 72.90066 +L 93.709536 81.991015 +L 100.335139 90.717794 +L 106.960742 99.095538 +L 113.586345 107.138207 +L 120.211948 114.859203 +L 126.837551 122.271391 +L 133.463154 129.387123 +L 140.088757 136.218255 +L 146.71436 142.776169 +L 153.339963 149.071795 +L 159.965566 155.115622 +L 166.591169 160.917721 +L 173.216772 166.48776 +L 179.842375 171.83502 +L 186.467978 176.968413 +L 193.093581 181.896491 +L 199.719184 186.627467 +L 206.344787 191.169223 +L 212.97039 195.529328 +L 219.595993 199.715046 +L 226.221596 203.733354 +L 232.847199 207.590946 +L 239.472801 211.29425 +L 246.098404 214.849437 +L 252.724007 218.262432 +L 259.34961 221.538921 +L 265.975213 224.684365 +L 272.600816 227.704003 +L 279.226419 230.602869 +L 285.852022 233.385792 +L 292.477625 236.05741 +L 299.103228 238.622174 +L 305.728831 241.084358 +L 312.354434 243.448065 +L 318.980037 245.717234 +L 325.60564 247.895645 +L 332.231243 249.986929 +L 338.856846 251.99457 +L 345.482449 253.921914 +L 352.108052 255.772173 +L 358.733655 257.548428 +L 365.359258 259.253641 +L 371.984861 260.890652 +L 378.610464 262.46219 +L 385.236067 263.970873 +L 391.86167 265.419215 +L 398.487273 266.809629 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #00a6d6; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="line2d_26"> + <path d="M 73.832727 53.568 +L 80.45833 72.720439 +L 87.083933 90.385475 +L 93.709536 106.678624 +L 100.335139 121.706426 +L 106.960742 135.567151 +L 113.586345 148.351434 +L 120.211948 160.142875 +L 126.837551 171.018578 +L 133.463154 181.04966 +L 140.088757 190.301716 +L 146.71436 198.835246 +L 153.339963 206.706052 +L 159.965566 213.965601 +L 166.591169 220.661364 +L 173.216772 226.837127 +L 179.842375 232.533272 +L 186.467978 237.787047 +L 193.093581 242.632808 +L 199.719184 247.102241 +L 206.344787 251.224572 +L 212.97039 255.026758 +L 219.595993 258.533662 +L 226.221596 261.768215 +L 232.847199 264.751569 +L 239.472801 267.503231 +L 246.098404 270.041197 +L 252.724007 272.38206 +L 259.34961 274.54113 +L 265.975213 276.532523 +L 272.600816 278.369263 +L 279.226419 280.063359 +L 285.852022 281.625889 +L 292.477625 283.067071 +L 299.103228 284.39633 +L 305.728831 285.622356 +L 312.354434 286.753168 +L 318.980037 287.796159 +L 325.60564 288.758151 +L 332.231243 289.645433 +L 338.856846 290.463808 +L 345.482449 291.218626 +L 352.108052 291.914825 +L 358.733655 292.556956 +L 365.359258 293.149218 +L 371.984861 293.695484 +L 378.610464 294.199327 +L 385.236067 294.664041 +L 391.86167 295.092664 +L 398.487273 295.488 +" clip-path="url(#pad98615c61)" style="fill: none; stroke: #009b77; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 57.6 307.584 +L 57.6 41.472 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 414.72 307.584 +L 414.72 41.472 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 57.6 307.584 +L 414.72 307.584 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 57.6 41.472 +L 414.72 41.472 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="legend_1"> + <g id="patch_7"> + <path d="M 326.9375 101.242 +L 403.52 101.242 +Q 406.72 101.242 406.72 98.042 +L 406.72 52.672 +Q 406.72 49.472 403.52 49.472 +L 326.9375 49.472 +Q 323.7375 49.472 323.7375 52.672 +L 323.7375 98.042 +Q 323.7375 101.242 326.9375 101.242 +z +" style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/> + </g> + <g id="line2d_27"> + <path d="M 330.1375 62.4295 +L 346.1375 62.4295 +L 362.1375 62.4295 +" style="fill: none; stroke: #00a6d6; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_15"> + <!-- 2% --> + <g transform="translate(374.9375 68.0295)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-25" d="M 4653 2053 +Q 4381 2053 4226 1822 +Q 4072 1591 4072 1178 +Q 4072 772 4226 539 +Q 4381 306 4653 306 +Q 4919 306 5073 539 +Q 5228 772 5228 1178 +Q 5228 1588 5073 1820 +Q 4919 2053 4653 2053 +z +M 4653 2450 +Q 5147 2450 5437 2106 +Q 5728 1763 5728 1178 +Q 5728 594 5436 251 +Q 5144 -91 4653 -91 +Q 4153 -91 3862 251 +Q 3572 594 3572 1178 +Q 3572 1766 3864 2108 +Q 4156 2450 4653 2450 +z +M 1428 4353 +Q 1159 4353 1004 4120 +Q 850 3888 850 3481 +Q 850 3069 1003 2837 +Q 1156 2606 1428 2606 +Q 1700 2606 1854 2837 +Q 2009 3069 2009 3481 +Q 2009 3884 1853 4118 +Q 1697 4353 1428 4353 +z +M 4250 4750 +L 4750 4750 +L 1831 -91 +L 1331 -91 +L 4250 4750 +z +M 1428 4750 +Q 1922 4750 2215 4408 +Q 2509 4066 2509 3481 +Q 2509 2891 2217 2550 +Q 1925 2209 1428 2209 +Q 931 2209 642 2551 +Q 353 2894 353 3481 +Q 353 4063 643 4406 +Q 934 4750 1428 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-25" x="63.623047"/> + </g> + </g> + <g id="line2d_28"> + <path d="M 330.1375 85.9145 +L 346.1375 85.9145 +L 362.1375 85.9145 +" style="fill: none; stroke: #009b77; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_16"> + <!-- 4% --> + <g transform="translate(374.9375 91.5145)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-34"/> + <use xlink:href="#DejaVuSans-25" x="63.623047"/> + </g> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="pad98615c61"> + <rect x="57.6" y="41.472" width="357.12" height="266.112"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/rating_curve.svg b/book/figures/rating_curve.svg new file mode 100644 index 0000000..79564c7 --- /dev/null +++ b/book/figures/rating_curve.svg @@ -0,0 +1,1073 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="604.3125pt" height="329.078125pt" viewBox="0 0 604.3125 329.078125" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-01-08T11:58:12.535731</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M -0 329.078125 +L 604.3125 329.078125 +L 604.3125 0 +L -0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 39.1125 284.4 +L 597.1125 284.4 +L 597.1125 7.2 +L 39.1125 7.2 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="mcff5b888ef" d="M 0 0 +L 0 3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#mcff5b888ef" x="64.476136" y="284.4" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_1"> + <!-- 0 --> + <g transform="translate(61.294886 298.998438)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#mcff5b888ef" x="127.885227" y="284.4" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_2"> + <!-- 25 --> + <g transform="translate(121.522727 298.998438)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-35" d="M 691 4666 +L 3169 4666 +L 3169 4134 +L 1269 4134 +L 1269 2991 +Q 1406 3038 1543 3061 +Q 1681 3084 1819 3084 +Q 2600 3084 3056 2656 +Q 3513 2228 3513 1497 +Q 3513 744 3044 326 +Q 2575 -91 1722 -91 +Q 1428 -91 1123 -41 +Q 819 9 494 109 +L 494 744 +Q 775 591 1075 516 +Q 1375 441 1709 441 +Q 2250 441 2565 725 +Q 2881 1009 2881 1497 +Q 2881 1984 2565 2268 +Q 2250 2553 1709 2553 +Q 1456 2553 1204 2497 +Q 953 2441 691 2322 +L 691 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-35" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#mcff5b888ef" x="191.294318" y="284.4" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_3"> + <!-- 50 --> + <g transform="translate(184.931818 298.998438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-35"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#mcff5b888ef" x="254.703409" y="284.4" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_4"> + <!-- 75 --> + <g transform="translate(248.340909 298.998438)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-37" d="M 525 4666 +L 3525 4666 +L 3525 4397 +L 1831 0 +L 1172 0 +L 2766 4134 +L 525 4134 +L 525 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-37"/> + <use xlink:href="#DejaVuSans-35" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <g> + <use xlink:href="#mcff5b888ef" x="318.1125" y="284.4" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_5"> + <!-- 100 --> + <g transform="translate(308.56875 298.998438)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#mcff5b888ef" x="381.521591" y="284.4" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_6"> + <!-- 125 --> + <g transform="translate(371.977841 298.998438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-32" x="63.623047"/> + <use xlink:href="#DejaVuSans-35" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_7"> + <g> + <use xlink:href="#mcff5b888ef" x="444.930682" y="284.4" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_7"> + <!-- 150 --> + <g transform="translate(435.386932 298.998438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-35" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_8"> + <g> + <use xlink:href="#mcff5b888ef" x="508.339773" y="284.4" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_8"> + <!-- 175 --> + <g transform="translate(498.796023 298.998438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-37" x="63.623047"/> + <use xlink:href="#DejaVuSans-35" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_9"> + <g id="line2d_9"> + <g> + <use xlink:href="#mcff5b888ef" x="571.748864" y="284.4" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_9"> + <!-- 200 --> + <g transform="translate(562.205114 298.998438)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_10"> + <!-- River Discharge, $q$ [m$^3$/s] --> + <g transform="translate(223.4625 318.728125)scale(0.15 -0.15)"> + <defs> + <path id="DejaVuSans-52" d="M 2841 2188 +Q 3044 2119 3236 1894 +Q 3428 1669 3622 1275 +L 4263 0 +L 3584 0 +L 2988 1197 +Q 2756 1666 2539 1819 +Q 2322 1972 1947 1972 +L 1259 1972 +L 1259 0 +L 628 0 +L 628 4666 +L 2053 4666 +Q 2853 4666 3247 4331 +Q 3641 3997 3641 3322 +Q 3641 2881 3436 2590 +Q 3231 2300 2841 2188 +z +M 1259 4147 +L 1259 2491 +L 2053 2491 +Q 2509 2491 2742 2702 +Q 2975 2913 2975 3322 +Q 2975 3731 2742 3939 +Q 2509 4147 2053 4147 +L 1259 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-69" d="M 603 3500 +L 1178 3500 +L 1178 0 +L 603 0 +L 603 3500 +z +M 603 4863 +L 1178 4863 +L 1178 4134 +L 603 4134 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-76" d="M 191 3500 +L 800 3500 +L 1894 563 +L 2988 3500 +L 3597 3500 +L 2284 0 +L 1503 0 +L 191 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-65" d="M 3597 1894 +L 3597 1613 +L 953 1613 +Q 991 1019 1311 708 +Q 1631 397 2203 397 +Q 2534 397 2845 478 +Q 3156 559 3463 722 +L 3463 178 +Q 3153 47 2828 -22 +Q 2503 -91 2169 -91 +Q 1331 -91 842 396 +Q 353 884 353 1716 +Q 353 2575 817 3079 +Q 1281 3584 2069 3584 +Q 2775 3584 3186 3129 +Q 3597 2675 3597 1894 +z +M 3022 2063 +Q 3016 2534 2758 2815 +Q 2500 3097 2075 3097 +Q 1594 3097 1305 2825 +Q 1016 2553 972 2059 +L 3022 2063 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-72" d="M 2631 2963 +Q 2534 3019 2420 3045 +Q 2306 3072 2169 3072 +Q 1681 3072 1420 2755 +Q 1159 2438 1159 1844 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1341 3275 1631 3429 +Q 1922 3584 2338 3584 +Q 2397 3584 2469 3576 +Q 2541 3569 2628 3553 +L 2631 2963 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-44" d="M 1259 4147 +L 1259 519 +L 2022 519 +Q 2988 519 3436 956 +Q 3884 1394 3884 2338 +Q 3884 3275 3436 3711 +Q 2988 4147 2022 4147 +L 1259 4147 +z +M 628 4666 +L 1925 4666 +Q 3281 4666 3915 4102 +Q 4550 3538 4550 2338 +Q 4550 1131 3912 565 +Q 3275 0 1925 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-73" d="M 2834 3397 +L 2834 2853 +Q 2591 2978 2328 3040 +Q 2066 3103 1784 3103 +Q 1356 3103 1142 2972 +Q 928 2841 928 2578 +Q 928 2378 1081 2264 +Q 1234 2150 1697 2047 +L 1894 2003 +Q 2506 1872 2764 1633 +Q 3022 1394 3022 966 +Q 3022 478 2636 193 +Q 2250 -91 1575 -91 +Q 1294 -91 989 -36 +Q 684 19 347 128 +L 347 722 +Q 666 556 975 473 +Q 1284 391 1588 391 +Q 1994 391 2212 530 +Q 2431 669 2431 922 +Q 2431 1156 2273 1281 +Q 2116 1406 1581 1522 +L 1381 1569 +Q 847 1681 609 1914 +Q 372 2147 372 2553 +Q 372 3047 722 3315 +Q 1072 3584 1716 3584 +Q 2034 3584 2315 3537 +Q 2597 3491 2834 3397 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-63" d="M 3122 3366 +L 3122 2828 +Q 2878 2963 2633 3030 +Q 2388 3097 2138 3097 +Q 1578 3097 1268 2742 +Q 959 2388 959 1747 +Q 959 1106 1268 751 +Q 1578 397 2138 397 +Q 2388 397 2633 464 +Q 2878 531 3122 666 +L 3122 134 +Q 2881 22 2623 -34 +Q 2366 -91 2075 -91 +Q 1284 -91 818 406 +Q 353 903 353 1747 +Q 353 2603 823 3093 +Q 1294 3584 2113 3584 +Q 2378 3584 2631 3529 +Q 2884 3475 3122 3366 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-68" d="M 3513 2113 +L 3513 0 +L 2938 0 +L 2938 2094 +Q 2938 2591 2744 2837 +Q 2550 3084 2163 3084 +Q 1697 3084 1428 2787 +Q 1159 2491 1159 1978 +L 1159 0 +L 581 0 +L 581 4863 +L 1159 4863 +L 1159 2956 +Q 1366 3272 1645 3428 +Q 1925 3584 2291 3584 +Q 2894 3584 3203 3211 +Q 3513 2838 3513 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-61" d="M 2194 1759 +Q 1497 1759 1228 1600 +Q 959 1441 959 1056 +Q 959 750 1161 570 +Q 1363 391 1709 391 +Q 2188 391 2477 730 +Q 2766 1069 2766 1631 +L 2766 1759 +L 2194 1759 +z +M 3341 1997 +L 3341 0 +L 2766 0 +L 2766 531 +Q 2569 213 2275 61 +Q 1981 -91 1556 -91 +Q 1019 -91 701 211 +Q 384 513 384 1019 +Q 384 1609 779 1909 +Q 1175 2209 1959 2209 +L 2766 2209 +L 2766 2266 +Q 2766 2663 2505 2880 +Q 2244 3097 1772 3097 +Q 1472 3097 1187 3025 +Q 903 2953 641 2809 +L 641 3341 +Q 956 3463 1253 3523 +Q 1550 3584 1831 3584 +Q 2591 3584 2966 3190 +Q 3341 2797 3341 1997 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-67" d="M 2906 1791 +Q 2906 2416 2648 2759 +Q 2391 3103 1925 3103 +Q 1463 3103 1205 2759 +Q 947 2416 947 1791 +Q 947 1169 1205 825 +Q 1463 481 1925 481 +Q 2391 481 2648 825 +Q 2906 1169 2906 1791 +z +M 3481 434 +Q 3481 -459 3084 -895 +Q 2688 -1331 1869 -1331 +Q 1566 -1331 1297 -1286 +Q 1028 -1241 775 -1147 +L 775 -588 +Q 1028 -725 1275 -790 +Q 1522 -856 1778 -856 +Q 2344 -856 2625 -561 +Q 2906 -266 2906 331 +L 2906 616 +Q 2728 306 2450 153 +Q 2172 0 1784 0 +Q 1141 0 747 490 +Q 353 981 353 1791 +Q 353 2603 747 3093 +Q 1141 3584 1784 3584 +Q 2172 3584 2450 3431 +Q 2728 3278 2906 2969 +L 2906 3500 +L 3481 3500 +L 3481 434 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2c" d="M 750 794 +L 1409 794 +L 1409 256 +L 897 -744 +L 494 -744 +L 750 256 +L 750 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-71" d="M 2669 525 +Q 2438 222 2123 65 +Q 1809 -91 1428 -91 +Q 897 -91 595 267 +Q 294 625 294 1253 +Q 294 1759 480 2231 +Q 666 2703 1013 3078 +Q 1238 3322 1530 3453 +Q 1822 3584 2144 3584 +Q 2531 3584 2781 3431 +Q 3031 3278 3144 2969 +L 3244 3494 +L 3822 3494 +L 2888 -1319 +L 2309 -1319 +L 2669 525 +z +M 891 1338 +Q 891 875 1084 633 +Q 1278 391 1644 391 +Q 2188 391 2572 911 +Q 2956 1431 2956 2175 +Q 2956 2625 2757 2864 +Q 2559 3103 2188 3103 +Q 1916 3103 1684 2976 +Q 1453 2850 1281 2606 +Q 1100 2350 995 2006 +Q 891 1663 891 1338 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5b" d="M 550 4863 +L 1875 4863 +L 1875 4416 +L 1125 4416 +L 1125 -397 +L 1875 -397 +L 1875 -844 +L 550 -844 +L 550 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6d" d="M 3328 2828 +Q 3544 3216 3844 3400 +Q 4144 3584 4550 3584 +Q 5097 3584 5394 3201 +Q 5691 2819 5691 2113 +L 5691 0 +L 5113 0 +L 5113 2094 +Q 5113 2597 4934 2840 +Q 4756 3084 4391 3084 +Q 3944 3084 3684 2787 +Q 3425 2491 3425 1978 +L 3425 0 +L 2847 0 +L 2847 2094 +Q 2847 2600 2669 2842 +Q 2491 3084 2119 3084 +Q 1678 3084 1418 2786 +Q 1159 2488 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1356 3278 1631 3431 +Q 1906 3584 2284 3584 +Q 2666 3584 2933 3390 +Q 3200 3197 3328 2828 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2f" d="M 1625 4666 +L 2156 4666 +L 531 -594 +L 0 -594 +L 1625 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-5d" d="M 1947 4863 +L 1947 -844 +L 622 -844 +L 622 -397 +L 1369 -397 +L 1369 4416 +L 622 4416 +L 622 4863 +L 1947 4863 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-52" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(69.482422 0.765625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(97.265625 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(156.445312 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(217.96875 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(259.082031 0.765625)"/> + <use xlink:href="#DejaVuSans-44" transform="translate(290.869141 0.765625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(367.871094 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(395.654297 0.765625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(447.753906 0.765625)"/> + <use xlink:href="#DejaVuSans-68" transform="translate(502.734375 0.765625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(566.113281 0.765625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(627.392578 0.765625)"/> + <use xlink:href="#DejaVuSans-67" transform="translate(668.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(731.982422 0.765625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(793.505859 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(825.292969 0.765625)"/> + <use xlink:href="#DejaVuSans-Oblique-71" transform="translate(857.080078 0.765625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(920.556641 0.765625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(952.34375 0.765625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(991.357422 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(1089.726562 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-2f" transform="translate(1136.99707 0.765625)"/> + <use xlink:href="#DejaVuSans-73" transform="translate(1170.688477 0.765625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(1222.788086 0.765625)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_10"> + <defs> + <path id="m34b8be0b80" d="M 0 0 +L -3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#m34b8be0b80" x="39.1125" y="271.8" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_11"> + <!-- 0 --> + <g transform="translate(25.75 275.599219)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_11"> + <g> + <use xlink:href="#m34b8be0b80" x="39.1125" y="236.161818" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_12"> + <!-- 1 --> + <g transform="translate(25.75 239.961037)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-31"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_12"> + <g> + <use xlink:href="#m34b8be0b80" x="39.1125" y="200.523636" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_13"> + <!-- 2 --> + <g transform="translate(25.75 204.322855)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-32"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_13"> + <g> + <use xlink:href="#m34b8be0b80" x="39.1125" y="164.885455" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_14"> + <!-- 3 --> + <g transform="translate(25.75 168.684673)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-33"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_14"> + <g> + <use xlink:href="#m34b8be0b80" x="39.1125" y="129.247273" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_15"> + <!-- 4 --> + <g transform="translate(25.75 133.046492)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-34"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_15"> + <g> + <use xlink:href="#m34b8be0b80" x="39.1125" y="93.609091" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_16"> + <!-- 5 --> + <g transform="translate(25.75 97.40831)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-35"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_16"> + <g> + <use xlink:href="#m34b8be0b80" x="39.1125" y="57.970909" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_17"> + <!-- 6 --> + <g transform="translate(25.75 61.770128)scale(0.1 -0.1)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-36"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_17"> + <g> + <use xlink:href="#m34b8be0b80" x="39.1125" y="22.332728" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_18"> + <!-- 7 --> + <g transform="translate(25.75 26.131946)scale(0.1 -0.1)"> + <use xlink:href="#DejaVuSans-37"/> + </g> + </g> + </g> + <g id="text_19"> + <!-- River Stage, $h_w$ [m] --> + <g transform="translate(18.6 218.85)rotate(-90)scale(0.15 -0.15)"> + <defs> + <path id="DejaVuSans-53" d="M 3425 4513 +L 3425 3897 +Q 3066 4069 2747 4153 +Q 2428 4238 2131 4238 +Q 1616 4238 1336 4038 +Q 1056 3838 1056 3469 +Q 1056 3159 1242 3001 +Q 1428 2844 1947 2747 +L 2328 2669 +Q 3034 2534 3370 2195 +Q 3706 1856 3706 1288 +Q 3706 609 3251 259 +Q 2797 -91 1919 -91 +Q 1588 -91 1214 -16 +Q 841 59 441 206 +L 441 856 +Q 825 641 1194 531 +Q 1563 422 1919 422 +Q 2459 422 2753 634 +Q 3047 847 3047 1241 +Q 3047 1584 2836 1778 +Q 2625 1972 2144 2069 +L 1759 2144 +Q 1053 2284 737 2584 +Q 422 2884 422 3419 +Q 422 4038 858 4394 +Q 1294 4750 2059 4750 +Q 2388 4750 2728 4690 +Q 3069 4631 3425 4513 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-74" d="M 1172 4494 +L 1172 3500 +L 2356 3500 +L 2356 3053 +L 1172 3053 +L 1172 1153 +Q 1172 725 1289 603 +Q 1406 481 1766 481 +L 2356 481 +L 2356 0 +L 1766 0 +Q 1100 0 847 248 +Q 594 497 594 1153 +L 594 3053 +L 172 3053 +L 172 3500 +L 594 3500 +L 594 4494 +L 1172 4494 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-68" d="M 3566 2113 +L 3156 0 +L 2578 0 +L 2988 2091 +Q 3016 2238 3031 2350 +Q 3047 2463 3047 2528 +Q 3047 2791 2881 2937 +Q 2716 3084 2419 3084 +Q 1956 3084 1617 2771 +Q 1278 2459 1178 1941 +L 800 0 +L 225 0 +L 1172 4863 +L 1747 4863 +L 1375 2950 +Q 1594 3244 1934 3414 +Q 2275 3584 2650 3584 +Q 3113 3584 3367 3334 +Q 3622 3084 3622 2631 +Q 3622 2519 3608 2391 +Q 3594 2263 3566 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-77" d="M 544 3500 +L 1113 3500 +L 1259 684 +L 2566 3500 +L 3231 3500 +L 3425 684 +L 4666 3500 +L 5241 3500 +L 3641 0 +L 2969 0 +L 2797 2900 +L 1459 0 +L 781 0 +L 544 3500 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-52" transform="translate(0 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(69.482422 0.015625)"/> + <use xlink:href="#DejaVuSans-76" transform="translate(97.265625 0.015625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(156.445312 0.015625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(217.96875 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(259.082031 0.015625)"/> + <use xlink:href="#DejaVuSans-53" transform="translate(290.869141 0.015625)"/> + <use xlink:href="#DejaVuSans-74" transform="translate(354.345703 0.015625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(393.554688 0.015625)"/> + <use xlink:href="#DejaVuSans-67" transform="translate(454.833984 0.015625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(518.310547 0.015625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(579.833984 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(611.621094 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-68" transform="translate(643.408203 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-77" transform="translate(706.787109 -16.390625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(766.772461 0.015625)"/> + <use xlink:href="#DejaVuSans-5b" transform="translate(798.55957 0.015625)"/> + <use xlink:href="#DejaVuSans-6d" transform="translate(837.573242 0.015625)"/> + <use xlink:href="#DejaVuSans-5d" transform="translate(934.985352 0.015625)"/> + </g> + </g> + </g> + <g id="line2d_18"> + <path d="M 64.476136 271.8 +L 65.1436 262.658999 +L 65.811065 258.872673 +L 66.478529 255.967322 +L 67.145993 253.517998 +L 67.813457 251.360101 +L 68.480921 249.409212 +L 69.148385 247.615185 +L 69.815849 245.945346 +L 70.483313 244.376998 +L 71.150778 242.893618 +L 71.818242 241.48273 +L 72.485706 240.134645 +L 73.15317 238.841653 +L 73.820634 237.597507 +L 74.488098 236.397056 +L 75.155562 235.235997 +L 75.823026 234.110688 +L 76.49049 233.018018 +L 77.157955 231.955301 +L 89.839773 215.451087 +L 99.674652 205.41928 +L 109.509532 196.716047 +L 119.344411 188.921776 +L 129.17929 181.8 +L 139.01417 175.201863 +L 148.849049 169.026463 +L 158.683929 163.201657 +L 168.518808 157.673754 +L 178.353687 152.401508 +L 188.188567 147.352421 +L 198.023446 142.500348 +L 207.858326 137.823883 +L 217.693205 133.305235 +L 227.528084 128.929429 +L 237.362964 124.683719 +L 247.197843 120.557149 +L 257.032723 116.540218 +L 266.867602 112.624625 +L 276.702481 108.803068 +L 286.537361 105.069079 +L 296.37224 101.416902 +L 306.20712 97.841384 +L 316.041999 94.337891 +L 325.876878 90.902239 +L 335.711758 87.530632 +L 345.546637 84.219617 +L 355.381517 80.966041 +L 365.216396 77.767013 +L 375.051276 74.619879 +L 384.886155 71.522193 +L 394.721034 68.471694 +L 404.555914 65.46629 +L 414.390793 62.504037 +L 424.225673 59.58313 +L 434.060552 56.701883 +L 443.895431 53.858724 +L 453.730311 51.05218 +L 463.56519 48.280873 +L 473.40007 45.543508 +L 483.234949 42.838868 +L 493.069828 40.165806 +L 502.904708 37.523241 +L 512.739587 34.910152 +L 522.574467 32.325575 +L 532.409346 29.768597 +L 542.244225 27.238351 +L 552.079105 24.734017 +L 561.913984 22.254814 +L 571.748864 19.8 +" clip-path="url(#p2db913d833)" style="fill: none; stroke: #000000; stroke-width: 3; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 39.1125 284.4 +L 39.1125 7.2 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 597.1125 284.4 +L 597.1125 7.2 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 39.1125 284.4 +L 597.1125 284.4 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 39.1125 7.2 +L 597.1125 7.2 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + </g> + </g> + <defs> + <clipPath id="p2db913d833"> + <rect x="39.1125" y="7.2" width="558" height="277.2"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/risk-curve-baecher.PNG b/book/figures/risk-curve-baecher.PNG new file mode 100644 index 0000000..560f4c7 Binary files /dev/null and b/book/figures/risk-curve-baecher.PNG differ diff --git a/book/figures/risk-hazard.svg b/book/figures/risk-hazard.svg new file mode 100644 index 0000000..7d2aa08 --- /dev/null +++ b/book/figures/risk-hazard.svg @@ -0,0 +1,242 @@ +<?xml version="1.0" encoding="UTF-8"?> +<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="382.671" height="354.325" viewBox="0 0 382.671 354.325"> +<defs> +<filter id="filter-remove-color-and-invert-alpha" x="0%" y="0%" width="100%" height="100%"> +<feColorMatrix color-interpolation-filters="sRGB" values="0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 -1 1"/> +</filter> +<filter id="filter-0" x="0%" y="0%" width="100%" height="100%"> +<feImage xlink:href="#compositing-group-1" result="source" x="0" y="0" width="459.2052" height="425.19"/> +<feImage xlink:href="#compositing-group-2" result="destination" x="0" y="0" width="459.2052" height="425.19"/> +<feComposite in="source" in2="destination" operator="arithmetic" k1="0" k2="1" k3="1" k4="0" color-interpolation-filters="sRGB"/> +</filter> +<filter id="filter-1" x="0%" y="0%" width="100%" height="100%"> +<feImage xlink:href="#compositing-group-4" result="source" x="0" y="0" width="459.2052" height="425.19"/> +<feImage xlink:href="#compositing-group-5" result="destination" x="0" y="0" width="459.2052" height="425.19"/> +<feComposite in="source" in2="destination" operator="arithmetic" k1="0" k2="1" k3="1" k4="0" color-interpolation-filters="sRGB"/> +</filter> +<filter id="filter-2" x="0%" y="0%" width="100%" height="100%"> +<feImage xlink:href="#compositing-group-7" result="source" x="0" y="0" width="459.2052" height="425.19"/> +<feImage xlink:href="#compositing-group-8" result="destination" x="0" y="0" width="459.2052" height="425.19"/> +<feComposite in="source" in2="destination" operator="arithmetic" k1="0" k2="1" k3="1" k4="0" color-interpolation-filters="sRGB"/> +</filter> +<filter id="filter-3" x="0%" y="0%" width="100%" height="100%"> +<feImage xlink:href="#compositing-group-10" result="source" x="0" y="0" width="459.2052" height="425.19"/> +<feImage xlink:href="#compositing-group-11" result="destination" x="0" y="0" width="459.2052" height="425.19"/> +<feComposite in="source" in2="destination" operator="arithmetic" k1="0" k2="1" k3="1" k4="0" color-interpolation-filters="sRGB"/> +</filter> +<g> +<g id="glyph-0-0"> +<path d="M 12.859375 -17.09375 L 12.859375 0 L 0.609375 0 L 0.609375 -17.09375 Z M 11.859375 -0.921875 L 11.859375 -16.171875 L 1.578125 -16.171875 L 1.578125 -0.921875 Z M 10.046875 -11.359375 C 10.046875 -10.835938 9.960938 -10.367188 9.796875 -9.953125 C 9.640625 -9.535156 9.414062 -9.1875 9.125 -8.90625 C 8.84375 -8.625 8.507812 -8.40625 8.125 -8.25 C 7.738281 -8.09375 7.316406 -8.007812 6.859375 -8 L 6.796875 -5.765625 C 6.796875 -5.691406 6.742188 -5.640625 6.640625 -5.609375 C 6.546875 -5.578125 6.40625 -5.5625 6.21875 -5.5625 C 6.132812 -5.5625 6.0625 -5.566406 6 -5.578125 C 5.9375 -5.585938 5.882812 -5.597656 5.84375 -5.609375 C 5.800781 -5.628906 5.765625 -5.648438 5.734375 -5.671875 C 5.710938 -5.691406 5.703125 -5.722656 5.703125 -5.765625 L 5.65625 -8.40625 C 5.65625 -8.601562 5.710938 -8.75 5.828125 -8.84375 C 5.941406 -8.9375 6.09375 -8.984375 6.28125 -8.984375 L 6.546875 -8.984375 C 6.972656 -8.984375 7.328125 -9.039062 7.609375 -9.15625 C 7.898438 -9.28125 8.132812 -9.441406 8.3125 -9.640625 C 8.488281 -9.847656 8.613281 -10.09375 8.6875 -10.375 C 8.757812 -10.65625 8.796875 -10.953125 8.796875 -11.265625 C 8.796875 -11.972656 8.601562 -12.53125 8.21875 -12.9375 C 7.832031 -13.34375 7.207031 -13.546875 6.34375 -13.546875 C 6 -13.546875 5.6875 -13.503906 5.40625 -13.421875 C 5.132812 -13.347656 4.890625 -13.265625 4.671875 -13.171875 C 4.460938 -13.085938 4.285156 -13.003906 4.140625 -12.921875 C 4.003906 -12.847656 3.90625 -12.8125 3.84375 -12.8125 C 3.820312 -12.8125 3.796875 -12.816406 3.765625 -12.828125 C 3.734375 -12.847656 3.703125 -12.875 3.671875 -12.90625 C 3.648438 -12.945312 3.632812 -13 3.625 -13.0625 C 3.613281 -13.132812 3.609375 -13.222656 3.609375 -13.328125 C 3.609375 -13.429688 3.617188 -13.523438 3.640625 -13.609375 C 3.660156 -13.703125 3.707031 -13.78125 3.78125 -13.84375 C 3.84375 -13.90625 3.960938 -13.976562 4.140625 -14.0625 C 4.316406 -14.144531 4.523438 -14.226562 4.765625 -14.3125 C 5.003906 -14.394531 5.269531 -14.460938 5.5625 -14.515625 C 5.863281 -14.578125 6.160156 -14.609375 6.453125 -14.609375 C 7.054688 -14.609375 7.582031 -14.519531 8.03125 -14.34375 C 8.476562 -14.175781 8.847656 -13.945312 9.140625 -13.65625 C 9.441406 -13.375 9.664062 -13.03125 9.8125 -12.625 C 9.96875 -12.226562 10.046875 -11.804688 10.046875 -11.359375 Z M 7.078125 -3.53125 C 7.078125 -3.375 7.0625 -3.238281 7.03125 -3.125 C 7.007812 -3.019531 6.96875 -2.9375 6.90625 -2.875 C 6.84375 -2.8125 6.757812 -2.765625 6.65625 -2.734375 C 6.5625 -2.710938 6.441406 -2.703125 6.296875 -2.703125 C 6.128906 -2.703125 5.992188 -2.710938 5.890625 -2.734375 C 5.785156 -2.765625 5.695312 -2.8125 5.625 -2.875 C 5.5625 -2.9375 5.515625 -3.019531 5.484375 -3.125 C 5.460938 -3.238281 5.453125 -3.375 5.453125 -3.53125 C 5.453125 -3.6875 5.460938 -3.816406 5.484375 -3.921875 C 5.515625 -4.023438 5.5625 -4.109375 5.625 -4.171875 C 5.695312 -4.242188 5.785156 -4.289062 5.890625 -4.3125 C 5.992188 -4.34375 6.128906 -4.359375 6.296875 -4.359375 C 6.441406 -4.359375 6.5625 -4.34375 6.65625 -4.3125 C 6.757812 -4.289062 6.84375 -4.242188 6.90625 -4.171875 C 6.96875 -4.109375 7.007812 -4.023438 7.03125 -3.921875 C 7.0625 -3.816406 7.078125 -3.6875 7.078125 -3.53125 Z M 7.078125 -3.53125 "/> +</g> +<g id="glyph-0-1"> +<path d="M 14.265625 -0.265625 C 14.265625 -0.210938 14.25 -0.160156 14.21875 -0.109375 C 14.1875 -0.0664062 14.140625 -0.03125 14.078125 0 C 14.023438 0.0195312 13.941406 0.0351562 13.828125 0.046875 C 13.722656 0.0664062 13.597656 0.078125 13.453125 0.078125 C 13.296875 0.078125 13.164062 0.0664062 13.0625 0.046875 C 12.957031 0.0351562 12.875 0.0195312 12.8125 0 C 12.75 -0.03125 12.703125 -0.0664062 12.671875 -0.109375 C 12.648438 -0.160156 12.640625 -0.210938 12.640625 -0.265625 L 12.640625 -8.234375 L 4.109375 -8.234375 L 4.109375 -0.265625 C 4.109375 -0.210938 4.09375 -0.160156 4.0625 -0.109375 C 4.039062 -0.0664062 4 -0.03125 3.9375 0 C 3.875 0.0195312 3.789062 0.0351562 3.6875 0.046875 C 3.59375 0.0664062 3.460938 0.078125 3.296875 0.078125 C 3.148438 0.078125 3.023438 0.0664062 2.921875 0.046875 C 2.816406 0.0351562 2.734375 0.0195312 2.671875 0 C 2.609375 -0.03125 2.5625 -0.0664062 2.53125 -0.109375 C 2.507812 -0.160156 2.5 -0.210938 2.5 -0.265625 L 2.5 -16.828125 C 2.5 -16.890625 2.507812 -16.941406 2.53125 -16.984375 C 2.5625 -17.023438 2.609375 -17.054688 2.671875 -17.078125 C 2.734375 -17.109375 2.816406 -17.128906 2.921875 -17.140625 C 3.023438 -17.160156 3.148438 -17.171875 3.296875 -17.171875 C 3.460938 -17.171875 3.59375 -17.160156 3.6875 -17.140625 C 3.789062 -17.128906 3.875 -17.109375 3.9375 -17.078125 C 4 -17.054688 4.039062 -17.023438 4.0625 -16.984375 C 4.09375 -16.941406 4.109375 -16.890625 4.109375 -16.828125 L 4.109375 -9.671875 L 12.640625 -9.671875 L 12.640625 -16.828125 C 12.640625 -16.890625 12.648438 -16.941406 12.671875 -16.984375 C 12.703125 -17.023438 12.75 -17.054688 12.8125 -17.078125 C 12.875 -17.109375 12.957031 -17.128906 13.0625 -17.140625 C 13.164062 -17.160156 13.296875 -17.171875 13.453125 -17.171875 C 13.597656 -17.171875 13.722656 -17.160156 13.828125 -17.140625 C 13.941406 -17.128906 14.023438 -17.109375 14.078125 -17.078125 C 14.140625 -17.054688 14.1875 -17.023438 14.21875 -16.984375 C 14.25 -16.941406 14.265625 -16.890625 14.265625 -16.828125 Z M 14.265625 -0.265625 "/> +</g> +<g id="glyph-0-2"> +<path d="M 10.578125 -0.265625 C 10.578125 -0.171875 10.546875 -0.0976562 10.484375 -0.046875 C 10.429688 -0.00390625 10.359375 0.0234375 10.265625 0.046875 C 10.179688 0.0664062 10.054688 0.078125 9.890625 0.078125 C 9.742188 0.078125 9.617188 0.0664062 9.515625 0.046875 C 9.410156 0.0234375 9.328125 -0.00390625 9.265625 -0.046875 C 9.210938 -0.0976562 9.1875 -0.171875 9.1875 -0.265625 L 9.1875 -1.59375 C 8.644531 -1.019531 8.050781 -0.570312 7.40625 -0.25 C 6.757812 0.0625 6.085938 0.21875 5.390625 0.21875 C 4.765625 0.21875 4.203125 0.140625 3.703125 -0.015625 C 3.203125 -0.179688 2.78125 -0.414062 2.4375 -0.71875 C 2.09375 -1.019531 1.828125 -1.382812 1.640625 -1.8125 C 1.460938 -2.25 1.375 -2.738281 1.375 -3.28125 C 1.375 -3.9375 1.507812 -4.507812 1.78125 -5 C 2.050781 -5.488281 2.4375 -5.894531 2.9375 -6.21875 C 3.445312 -6.550781 4.050781 -6.796875 4.75 -6.953125 C 5.457031 -7.117188 6.242188 -7.203125 7.109375 -7.203125 L 9.015625 -7.203125 L 9.015625 -8.234375 C 9.015625 -8.742188 8.957031 -9.191406 8.84375 -9.578125 C 8.738281 -9.972656 8.566406 -10.300781 8.328125 -10.5625 C 8.097656 -10.832031 7.789062 -11.03125 7.40625 -11.15625 C 7.03125 -11.289062 6.570312 -11.359375 6.03125 -11.359375 C 5.5 -11.359375 5.019531 -11.296875 4.59375 -11.171875 C 4.175781 -11.046875 3.804688 -10.898438 3.484375 -10.734375 C 3.171875 -10.578125 2.910156 -10.4375 2.703125 -10.3125 C 2.492188 -10.1875 2.347656 -10.125 2.265625 -10.125 C 2.210938 -10.125 2.160156 -10.128906 2.109375 -10.140625 C 2.066406 -10.160156 2.03125 -10.191406 2 -10.234375 C 1.96875 -10.285156 1.945312 -10.347656 1.9375 -10.421875 C 1.925781 -10.503906 1.921875 -10.597656 1.921875 -10.703125 C 1.921875 -10.890625 1.929688 -11.035156 1.953125 -11.140625 C 1.984375 -11.253906 2.050781 -11.363281 2.15625 -11.46875 C 2.269531 -11.582031 2.46875 -11.710938 2.75 -11.859375 C 3.03125 -12.015625 3.351562 -12.15625 3.71875 -12.28125 C 4.082031 -12.40625 4.472656 -12.507812 4.890625 -12.59375 C 5.316406 -12.675781 5.742188 -12.71875 6.171875 -12.71875 C 6.992188 -12.71875 7.6875 -12.617188 8.25 -12.421875 C 8.8125 -12.222656 9.265625 -11.9375 9.609375 -11.5625 C 9.960938 -11.1875 10.210938 -10.726562 10.359375 -10.1875 C 10.503906 -9.644531 10.578125 -9.03125 10.578125 -8.34375 Z M 9.015625 -5.90625 L 6.828125 -5.90625 C 6.191406 -5.90625 5.632812 -5.847656 5.15625 -5.734375 C 4.6875 -5.617188 4.289062 -5.453125 3.96875 -5.234375 C 3.65625 -5.015625 3.421875 -4.75 3.265625 -4.4375 C 3.117188 -4.132812 3.046875 -3.785156 3.046875 -3.390625 C 3.046875 -2.703125 3.257812 -2.148438 3.6875 -1.734375 C 4.125 -1.328125 4.738281 -1.125 5.53125 -1.125 C 6.15625 -1.125 6.738281 -1.285156 7.28125 -1.609375 C 7.820312 -1.929688 8.398438 -2.425781 9.015625 -3.09375 Z M 9.015625 -5.90625 "/> +</g> +<g id="glyph-0-3"> +<path d="M 9.4375 -0.6875 C 9.4375 -0.570312 9.425781 -0.46875 9.40625 -0.375 C 9.382812 -0.289062 9.351562 -0.21875 9.3125 -0.15625 C 9.28125 -0.101562 9.238281 -0.0625 9.1875 -0.03125 C 9.132812 -0.0078125 9.078125 0 9.015625 0 L 1.890625 0 C 1.734375 0 1.597656 -0.0507812 1.484375 -0.15625 C 1.378906 -0.257812 1.328125 -0.4375 1.328125 -0.6875 L 1.328125 -1.0625 C 1.328125 -1.15625 1.332031 -1.238281 1.34375 -1.3125 C 1.363281 -1.394531 1.390625 -1.476562 1.421875 -1.5625 C 1.460938 -1.65625 1.507812 -1.753906 1.5625 -1.859375 C 1.625 -1.960938 1.695312 -2.078125 1.78125 -2.203125 L 7.46875 -11.125 L 1.890625 -11.125 C 1.765625 -11.125 1.660156 -11.175781 1.578125 -11.28125 C 1.503906 -11.394531 1.46875 -11.570312 1.46875 -11.8125 C 1.46875 -11.925781 1.476562 -12.023438 1.5 -12.109375 C 1.519531 -12.203125 1.546875 -12.273438 1.578125 -12.328125 C 1.617188 -12.390625 1.664062 -12.429688 1.71875 -12.453125 C 1.769531 -12.484375 1.828125 -12.5 1.890625 -12.5 L 8.5 -12.5 C 8.570312 -12.5 8.644531 -12.484375 8.71875 -12.453125 C 8.789062 -12.429688 8.847656 -12.394531 8.890625 -12.34375 C 8.941406 -12.289062 8.984375 -12.21875 9.015625 -12.125 C 9.046875 -12.039062 9.0625 -11.9375 9.0625 -11.8125 L 9.0625 -11.515625 C 9.0625 -11.421875 9.054688 -11.328125 9.046875 -11.234375 C 9.035156 -11.148438 9.007812 -11.0625 8.96875 -10.96875 C 8.9375 -10.875 8.890625 -10.769531 8.828125 -10.65625 C 8.765625 -10.550781 8.691406 -10.429688 8.609375 -10.296875 L 2.9375 -1.375 L 9.015625 -1.375 C 9.078125 -1.375 9.132812 -1.359375 9.1875 -1.328125 C 9.238281 -1.304688 9.28125 -1.265625 9.3125 -1.203125 C 9.351562 -1.148438 9.382812 -1.078125 9.40625 -0.984375 C 9.425781 -0.898438 9.4375 -0.800781 9.4375 -0.6875 Z M 9.4375 -0.6875 "/> +</g> +<g id="glyph-0-4"> +<path d="M 8.84375 -11.609375 C 8.84375 -11.484375 8.835938 -11.375 8.828125 -11.28125 C 8.816406 -11.1875 8.800781 -11.109375 8.78125 -11.046875 C 8.757812 -10.992188 8.734375 -10.953125 8.703125 -10.921875 C 8.671875 -10.890625 8.628906 -10.875 8.578125 -10.875 C 8.492188 -10.875 8.398438 -10.894531 8.296875 -10.9375 C 8.191406 -10.976562 8.066406 -11.019531 7.921875 -11.0625 C 7.785156 -11.101562 7.632812 -11.144531 7.46875 -11.1875 C 7.300781 -11.226562 7.113281 -11.25 6.90625 -11.25 C 6.664062 -11.25 6.429688 -11.195312 6.203125 -11.09375 C 5.972656 -10.988281 5.734375 -10.820312 5.484375 -10.59375 C 5.234375 -10.375 4.96875 -10.078125 4.6875 -9.703125 C 4.414062 -9.335938 4.113281 -8.882812 3.78125 -8.34375 L 3.78125 -0.265625 C 3.78125 -0.210938 3.765625 -0.160156 3.734375 -0.109375 C 3.710938 -0.0664062 3.671875 -0.03125 3.609375 0 C 3.554688 0.0195312 3.476562 0.0351562 3.375 0.046875 C 3.269531 0.0664062 3.140625 0.078125 2.984375 0.078125 C 2.835938 0.078125 2.710938 0.0664062 2.609375 0.046875 C 2.503906 0.0351562 2.421875 0.0195312 2.359375 0 C 2.296875 -0.03125 2.253906 -0.0664062 2.234375 -0.109375 C 2.210938 -0.160156 2.203125 -0.210938 2.203125 -0.265625 L 2.203125 -12.21875 C 2.203125 -12.269531 2.210938 -12.316406 2.234375 -12.359375 C 2.253906 -12.410156 2.296875 -12.453125 2.359375 -12.484375 C 2.421875 -12.515625 2.5 -12.535156 2.59375 -12.546875 C 2.6875 -12.554688 2.804688 -12.5625 2.953125 -12.5625 C 3.109375 -12.5625 3.234375 -12.554688 3.328125 -12.546875 C 3.421875 -12.535156 3.492188 -12.515625 3.546875 -12.484375 C 3.609375 -12.453125 3.648438 -12.410156 3.671875 -12.359375 C 3.691406 -12.316406 3.703125 -12.269531 3.703125 -12.21875 L 3.703125 -10.328125 C 4.046875 -10.835938 4.363281 -11.242188 4.65625 -11.546875 C 4.945312 -11.859375 5.222656 -12.097656 5.484375 -12.265625 C 5.742188 -12.441406 6 -12.5625 6.25 -12.625 C 6.507812 -12.6875 6.769531 -12.71875 7.03125 -12.71875 C 7.144531 -12.71875 7.273438 -12.707031 7.421875 -12.6875 C 7.578125 -12.675781 7.738281 -12.648438 7.90625 -12.609375 C 8.082031 -12.578125 8.238281 -12.535156 8.375 -12.484375 C 8.507812 -12.441406 8.601562 -12.398438 8.65625 -12.359375 C 8.707031 -12.316406 8.738281 -12.28125 8.75 -12.25 C 8.769531 -12.21875 8.785156 -12.175781 8.796875 -12.125 C 8.816406 -12.082031 8.828125 -12.019531 8.828125 -11.9375 C 8.835938 -11.851562 8.84375 -11.742188 8.84375 -11.609375 Z M 8.84375 -11.609375 "/> +</g> +<g id="glyph-0-5"> +<path d="M 11.859375 -0.265625 C 11.859375 -0.203125 11.84375 -0.148438 11.8125 -0.109375 C 11.789062 -0.0664062 11.75 -0.03125 11.6875 0 C 11.632812 0.03125 11.5625 0.0507812 11.46875 0.0625 C 11.382812 0.0703125 11.28125 0.078125 11.15625 0.078125 C 11.007812 0.078125 10.890625 0.0703125 10.796875 0.0625 C 10.703125 0.0507812 10.625 0.03125 10.5625 0 C 10.507812 -0.03125 10.46875 -0.0664062 10.4375 -0.109375 C 10.414062 -0.148438 10.40625 -0.203125 10.40625 -0.265625 L 10.40625 -1.984375 C 9.769531 -1.296875 9.109375 -0.753906 8.421875 -0.359375 C 7.742188 0.0234375 7.003906 0.21875 6.203125 0.21875 C 5.347656 0.21875 4.613281 0.0507812 4 -0.28125 C 3.394531 -0.613281 2.898438 -1.066406 2.515625 -1.640625 C 2.128906 -2.210938 1.847656 -2.882812 1.671875 -3.65625 C 1.492188 -4.425781 1.40625 -5.242188 1.40625 -6.109375 C 1.40625 -7.117188 1.515625 -8.03125 1.734375 -8.84375 C 1.960938 -9.65625 2.289062 -10.347656 2.71875 -10.921875 C 3.15625 -11.492188 3.6875 -11.9375 4.3125 -12.25 C 4.945312 -12.5625 5.6875 -12.71875 6.53125 -12.71875 C 7.25 -12.71875 7.90625 -12.554688 8.5 -12.234375 C 9.101562 -11.910156 9.695312 -11.4375 10.28125 -10.8125 L 10.28125 -18.015625 C 10.28125 -18.066406 10.289062 -18.113281 10.3125 -18.15625 C 10.332031 -18.195312 10.375 -18.226562 10.4375 -18.25 C 10.5 -18.28125 10.578125 -18.304688 10.671875 -18.328125 C 10.773438 -18.347656 10.90625 -18.359375 11.0625 -18.359375 C 11.21875 -18.359375 11.347656 -18.347656 11.453125 -18.328125 C 11.554688 -18.304688 11.632812 -18.28125 11.6875 -18.25 C 11.75 -18.226562 11.789062 -18.195312 11.8125 -18.15625 C 11.84375 -18.113281 11.859375 -18.066406 11.859375 -18.015625 Z M 10.28125 -8.890625 C 9.625 -9.691406 8.988281 -10.300781 8.375 -10.71875 C 7.757812 -11.144531 7.117188 -11.359375 6.453125 -11.359375 C 5.835938 -11.359375 5.3125 -11.210938 4.875 -10.921875 C 4.445312 -10.628906 4.097656 -10.242188 3.828125 -9.765625 C 3.554688 -9.296875 3.359375 -8.757812 3.234375 -8.15625 C 3.109375 -7.5625 3.046875 -6.957031 3.046875 -6.34375 C 3.046875 -5.6875 3.097656 -5.039062 3.203125 -4.40625 C 3.316406 -3.78125 3.5 -3.222656 3.75 -2.734375 C 4.007812 -2.253906 4.347656 -1.863281 4.765625 -1.5625 C 5.191406 -1.269531 5.722656 -1.125 6.359375 -1.125 C 6.671875 -1.125 6.976562 -1.164062 7.28125 -1.25 C 7.582031 -1.34375 7.890625 -1.488281 8.203125 -1.6875 C 8.523438 -1.894531 8.851562 -2.15625 9.1875 -2.46875 C 9.53125 -2.789062 9.894531 -3.191406 10.28125 -3.671875 Z M 10.28125 -8.890625 "/> +</g> +<g id="glyph-0-6"> +<path d="M 13.203125 -0.296875 C 13.203125 -0.234375 13.191406 -0.175781 13.171875 -0.125 C 13.148438 -0.0820312 13.109375 -0.046875 13.046875 -0.015625 C 12.984375 0.015625 12.894531 0.0351562 12.78125 0.046875 C 12.675781 0.0664062 12.539062 0.078125 12.375 0.078125 C 12.21875 0.078125 12.085938 0.0703125 11.984375 0.0625 C 11.890625 0.0507812 11.804688 0.0234375 11.734375 -0.015625 C 11.660156 -0.0546875 11.601562 -0.109375 11.5625 -0.171875 C 11.519531 -0.242188 11.476562 -0.332031 11.4375 -0.4375 L 9.84375 -4.578125 C 9.65625 -5.046875 9.457031 -5.488281 9.25 -5.90625 C 9.039062 -6.320312 8.785156 -6.679688 8.484375 -6.984375 C 8.179688 -7.285156 7.816406 -7.523438 7.390625 -7.703125 C 6.972656 -7.878906 6.46875 -7.96875 5.875 -7.96875 L 4.109375 -7.96875 L 4.109375 -0.265625 C 4.109375 -0.210938 4.09375 -0.160156 4.0625 -0.109375 C 4.039062 -0.0664062 4 -0.03125 3.9375 0 C 3.875 0.0195312 3.789062 0.0351562 3.6875 0.046875 C 3.59375 0.0664062 3.460938 0.078125 3.296875 0.078125 C 3.148438 0.078125 3.023438 0.0664062 2.921875 0.046875 C 2.816406 0.0351562 2.734375 0.0195312 2.671875 0 C 2.609375 -0.03125 2.5625 -0.0664062 2.53125 -0.109375 C 2.507812 -0.160156 2.5 -0.210938 2.5 -0.265625 L 2.5 -16.265625 C 2.5 -16.585938 2.582031 -16.804688 2.75 -16.921875 C 2.914062 -17.035156 3.078125 -17.09375 3.234375 -17.09375 L 6.453125 -17.09375 C 6.867188 -17.09375 7.21875 -17.082031 7.5 -17.0625 C 7.78125 -17.039062 8.035156 -17.015625 8.265625 -16.984375 C 8.910156 -16.867188 9.472656 -16.679688 9.953125 -16.421875 C 10.441406 -16.171875 10.84375 -15.859375 11.15625 -15.484375 C 11.476562 -15.109375 11.71875 -14.679688 11.875 -14.203125 C 12.03125 -13.734375 12.109375 -13.226562 12.109375 -12.6875 C 12.109375 -12.125 12.023438 -11.617188 11.859375 -11.171875 C 11.703125 -10.722656 11.476562 -10.328125 11.1875 -9.984375 C 10.894531 -9.648438 10.546875 -9.359375 10.140625 -9.109375 C 9.742188 -8.867188 9.300781 -8.664062 8.8125 -8.5 C 9.101562 -8.363281 9.363281 -8.195312 9.59375 -8 C 9.832031 -7.8125 10.050781 -7.578125 10.25 -7.296875 C 10.445312 -7.023438 10.632812 -6.710938 10.8125 -6.359375 C 10.988281 -6.003906 11.164062 -5.609375 11.34375 -5.171875 L 12.9375 -1.171875 C 13.050781 -0.867188 13.125 -0.660156 13.15625 -0.546875 C 13.1875 -0.429688 13.203125 -0.347656 13.203125 -0.296875 Z M 10.359375 -12.515625 C 10.359375 -13.242188 10.191406 -13.859375 9.859375 -14.359375 C 9.535156 -14.867188 8.992188 -15.234375 8.234375 -15.453125 C 7.972656 -15.523438 7.691406 -15.578125 7.390625 -15.609375 C 7.097656 -15.640625 6.707031 -15.65625 6.21875 -15.65625 L 4.109375 -15.65625 L 4.109375 -9.375 L 6.5625 -9.375 C 7.226562 -9.375 7.796875 -9.457031 8.265625 -9.625 C 8.742188 -9.789062 9.140625 -10.015625 9.453125 -10.296875 C 9.765625 -10.578125 9.992188 -10.90625 10.140625 -11.28125 C 10.285156 -11.664062 10.359375 -12.078125 10.359375 -12.515625 Z M 10.359375 -12.515625 "/> +</g> +<g id="glyph-0-7"> +<path d="M 3.78125 -0.265625 C 3.78125 -0.210938 3.765625 -0.160156 3.734375 -0.109375 C 3.710938 -0.0664062 3.671875 -0.03125 3.609375 0 C 3.554688 0.0195312 3.476562 0.0351562 3.375 0.046875 C 3.269531 0.0664062 3.140625 0.078125 2.984375 0.078125 C 2.835938 0.078125 2.710938 0.0664062 2.609375 0.046875 C 2.503906 0.0351562 2.421875 0.0195312 2.359375 0 C 2.296875 -0.03125 2.253906 -0.0664062 2.234375 -0.109375 C 2.210938 -0.160156 2.203125 -0.210938 2.203125 -0.265625 L 2.203125 -12.21875 C 2.203125 -12.269531 2.210938 -12.316406 2.234375 -12.359375 C 2.253906 -12.410156 2.296875 -12.453125 2.359375 -12.484375 C 2.421875 -12.515625 2.503906 -12.535156 2.609375 -12.546875 C 2.710938 -12.554688 2.835938 -12.5625 2.984375 -12.5625 C 3.140625 -12.5625 3.269531 -12.554688 3.375 -12.546875 C 3.476562 -12.535156 3.554688 -12.515625 3.609375 -12.484375 C 3.671875 -12.453125 3.710938 -12.410156 3.734375 -12.359375 C 3.765625 -12.316406 3.78125 -12.269531 3.78125 -12.21875 Z M 4.015625 -16.25 C 4.015625 -15.832031 3.9375 -15.546875 3.78125 -15.390625 C 3.632812 -15.242188 3.363281 -15.171875 2.96875 -15.171875 C 2.582031 -15.171875 2.316406 -15.242188 2.171875 -15.390625 C 2.023438 -15.535156 1.953125 -15.816406 1.953125 -16.234375 C 1.953125 -16.660156 2.023438 -16.945312 2.171875 -17.09375 C 2.328125 -17.25 2.601562 -17.328125 3 -17.328125 C 3.382812 -17.328125 3.648438 -17.253906 3.796875 -17.109375 C 3.941406 -16.960938 4.015625 -16.675781 4.015625 -16.25 Z M 4.015625 -16.25 "/> +</g> +<g id="glyph-0-8"> +<path d="M 9.234375 -3.453125 C 9.234375 -2.878906 9.128906 -2.363281 8.921875 -1.90625 C 8.710938 -1.457031 8.410156 -1.070312 8.015625 -0.75 C 7.617188 -0.4375 7.144531 -0.195312 6.59375 -0.03125 C 6.050781 0.132812 5.453125 0.21875 4.796875 0.21875 C 4.378906 0.21875 3.984375 0.1875 3.609375 0.125 C 3.242188 0.0625 2.910156 -0.0195312 2.609375 -0.125 C 2.316406 -0.226562 2.066406 -0.335938 1.859375 -0.453125 C 1.648438 -0.566406 1.492188 -0.664062 1.390625 -0.75 C 1.296875 -0.84375 1.226562 -0.953125 1.1875 -1.078125 C 1.144531 -1.210938 1.125 -1.390625 1.125 -1.609375 C 1.125 -1.722656 1.128906 -1.820312 1.140625 -1.90625 C 1.160156 -2 1.179688 -2.078125 1.203125 -2.140625 C 1.234375 -2.203125 1.269531 -2.25 1.3125 -2.28125 C 1.363281 -2.3125 1.414062 -2.328125 1.46875 -2.328125 C 1.5625 -2.328125 1.703125 -2.265625 1.890625 -2.140625 C 2.078125 -2.015625 2.304688 -1.878906 2.578125 -1.734375 C 2.859375 -1.585938 3.191406 -1.453125 3.578125 -1.328125 C 3.960938 -1.210938 4.40625 -1.15625 4.90625 -1.15625 C 5.3125 -1.15625 5.679688 -1.195312 6.015625 -1.28125 C 6.347656 -1.363281 6.632812 -1.492188 6.875 -1.671875 C 7.125 -1.847656 7.316406 -2.078125 7.453125 -2.359375 C 7.597656 -2.640625 7.671875 -2.960938 7.671875 -3.328125 C 7.671875 -3.703125 7.582031 -4.015625 7.40625 -4.265625 C 7.226562 -4.523438 6.992188 -4.75 6.703125 -4.9375 C 6.421875 -5.125 6.097656 -5.289062 5.734375 -5.4375 C 5.367188 -5.582031 4.992188 -5.734375 4.609375 -5.890625 C 4.222656 -6.046875 3.847656 -6.210938 3.484375 -6.390625 C 3.117188 -6.578125 2.789062 -6.800781 2.5 -7.0625 C 2.21875 -7.332031 1.988281 -7.648438 1.8125 -8.015625 C 1.632812 -8.390625 1.546875 -8.835938 1.546875 -9.359375 C 1.546875 -9.773438 1.625 -10.179688 1.78125 -10.578125 C 1.9375 -10.972656 2.179688 -11.328125 2.515625 -11.640625 C 2.847656 -11.960938 3.269531 -12.222656 3.78125 -12.421875 C 4.300781 -12.617188 4.910156 -12.71875 5.609375 -12.71875 C 5.910156 -12.71875 6.207031 -12.691406 6.5 -12.640625 C 6.800781 -12.585938 7.070312 -12.519531 7.3125 -12.4375 C 7.550781 -12.363281 7.757812 -12.28125 7.9375 -12.1875 C 8.113281 -12.09375 8.25 -12.007812 8.34375 -11.9375 C 8.4375 -11.875 8.5 -11.816406 8.53125 -11.765625 C 8.5625 -11.710938 8.582031 -11.660156 8.59375 -11.609375 C 8.601562 -11.554688 8.613281 -11.492188 8.625 -11.421875 C 8.632812 -11.347656 8.640625 -11.257812 8.640625 -11.15625 C 8.640625 -11.050781 8.632812 -10.957031 8.625 -10.875 C 8.613281 -10.789062 8.59375 -10.71875 8.5625 -10.65625 C 8.53125 -10.59375 8.492188 -10.546875 8.453125 -10.515625 C 8.421875 -10.484375 8.378906 -10.46875 8.328125 -10.46875 C 8.253906 -10.46875 8.144531 -10.515625 8 -10.609375 C 7.863281 -10.703125 7.679688 -10.804688 7.453125 -10.921875 C 7.222656 -11.035156 6.945312 -11.140625 6.625 -11.234375 C 6.3125 -11.335938 5.945312 -11.390625 5.53125 -11.390625 C 5.125 -11.390625 4.765625 -11.335938 4.453125 -11.234375 C 4.140625 -11.140625 3.878906 -11.003906 3.671875 -10.828125 C 3.472656 -10.660156 3.320312 -10.457031 3.21875 -10.21875 C 3.113281 -9.976562 3.0625 -9.71875 3.0625 -9.4375 C 3.0625 -9.050781 3.148438 -8.722656 3.328125 -8.453125 C 3.503906 -8.191406 3.738281 -7.960938 4.03125 -7.765625 C 4.320312 -7.578125 4.648438 -7.40625 5.015625 -7.25 C 5.390625 -7.101562 5.765625 -6.953125 6.140625 -6.796875 C 6.523438 -6.648438 6.90625 -6.484375 7.28125 -6.296875 C 7.65625 -6.117188 7.984375 -5.898438 8.265625 -5.640625 C 8.554688 -5.390625 8.789062 -5.085938 8.96875 -4.734375 C 9.144531 -4.378906 9.234375 -3.953125 9.234375 -3.453125 Z M 9.234375 -3.453125 "/> +</g> +<g id="glyph-0-9"> +<path d="M 11.328125 -0.296875 C 11.328125 -0.234375 11.3125 -0.175781 11.28125 -0.125 C 11.257812 -0.0820312 11.21875 -0.046875 11.15625 -0.015625 C 11.09375 0.015625 11.007812 0.0351562 10.90625 0.046875 C 10.800781 0.0664062 10.660156 0.078125 10.484375 0.078125 C 10.316406 0.078125 10.175781 0.0703125 10.0625 0.0625 C 9.945312 0.0507812 9.847656 0.03125 9.765625 0 C 9.679688 -0.03125 9.609375 -0.0664062 9.546875 -0.109375 C 9.492188 -0.148438 9.4375 -0.203125 9.375 -0.265625 L 3.78125 -7.0625 L 3.78125 -0.265625 C 3.78125 -0.210938 3.765625 -0.160156 3.734375 -0.109375 C 3.710938 -0.0664062 3.671875 -0.03125 3.609375 0 C 3.554688 0.0195312 3.476562 0.0351562 3.375 0.046875 C 3.269531 0.0664062 3.140625 0.078125 2.984375 0.078125 C 2.835938 0.078125 2.710938 0.0664062 2.609375 0.046875 C 2.503906 0.0351562 2.421875 0.0195312 2.359375 0 C 2.296875 -0.03125 2.253906 -0.0664062 2.234375 -0.109375 C 2.210938 -0.160156 2.203125 -0.210938 2.203125 -0.265625 L 2.203125 -18.078125 C 2.203125 -18.128906 2.210938 -18.175781 2.234375 -18.21875 C 2.253906 -18.257812 2.296875 -18.296875 2.359375 -18.328125 C 2.421875 -18.359375 2.503906 -18.378906 2.609375 -18.390625 C 2.710938 -18.410156 2.835938 -18.421875 2.984375 -18.421875 C 3.140625 -18.421875 3.269531 -18.410156 3.375 -18.390625 C 3.476562 -18.378906 3.554688 -18.359375 3.609375 -18.328125 C 3.671875 -18.296875 3.710938 -18.257812 3.734375 -18.21875 C 3.765625 -18.175781 3.78125 -18.128906 3.78125 -18.078125 L 3.78125 -7.078125 L 8.8125 -12.171875 C 8.882812 -12.253906 8.957031 -12.316406 9.03125 -12.359375 C 9.101562 -12.410156 9.179688 -12.453125 9.265625 -12.484375 C 9.359375 -12.515625 9.460938 -12.535156 9.578125 -12.546875 C 9.691406 -12.554688 9.828125 -12.5625 9.984375 -12.5625 C 10.128906 -12.5625 10.253906 -12.554688 10.359375 -12.546875 C 10.472656 -12.546875 10.566406 -12.53125 10.640625 -12.5 C 10.710938 -12.46875 10.765625 -12.429688 10.796875 -12.390625 C 10.828125 -12.359375 10.84375 -12.3125 10.84375 -12.25 C 10.84375 -12.164062 10.816406 -12.078125 10.765625 -11.984375 C 10.710938 -11.898438 10.617188 -11.796875 10.484375 -11.671875 L 5.703125 -7.15625 L 11.015625 -0.8125 C 11.128906 -0.675781 11.207031 -0.570312 11.25 -0.5 C 11.300781 -0.425781 11.328125 -0.359375 11.328125 -0.296875 Z M 11.328125 -0.296875 "/> +</g> +<g id="glyph-1-0"> +<path d="M 12.859375 -17.09375 L 12.859375 0 L 0.609375 0 L 0.609375 -17.09375 Z M 11.859375 -0.921875 L 11.859375 -16.171875 L 1.578125 -16.171875 L 1.578125 -0.921875 Z M 10.046875 -11.359375 C 10.046875 -10.835938 9.960938 -10.367188 9.796875 -9.953125 C 9.640625 -9.535156 9.414062 -9.1875 9.125 -8.90625 C 8.84375 -8.625 8.507812 -8.40625 8.125 -8.25 C 7.738281 -8.09375 7.316406 -8.007812 6.859375 -8 L 6.796875 -5.765625 C 6.796875 -5.691406 6.742188 -5.640625 6.640625 -5.609375 C 6.546875 -5.578125 6.40625 -5.5625 6.21875 -5.5625 C 6.132812 -5.5625 6.0625 -5.566406 6 -5.578125 C 5.9375 -5.585938 5.882812 -5.597656 5.84375 -5.609375 C 5.800781 -5.628906 5.765625 -5.648438 5.734375 -5.671875 C 5.710938 -5.691406 5.703125 -5.722656 5.703125 -5.765625 L 5.65625 -8.40625 C 5.65625 -8.601562 5.710938 -8.75 5.828125 -8.84375 C 5.941406 -8.9375 6.09375 -8.984375 6.28125 -8.984375 L 6.546875 -8.984375 C 6.972656 -8.984375 7.328125 -9.039062 7.609375 -9.15625 C 7.898438 -9.28125 8.132812 -9.441406 8.3125 -9.640625 C 8.488281 -9.847656 8.613281 -10.09375 8.6875 -10.375 C 8.757812 -10.65625 8.796875 -10.953125 8.796875 -11.265625 C 8.796875 -11.972656 8.601562 -12.53125 8.21875 -12.9375 C 7.832031 -13.34375 7.207031 -13.546875 6.34375 -13.546875 C 6 -13.546875 5.6875 -13.503906 5.40625 -13.421875 C 5.132812 -13.347656 4.890625 -13.265625 4.671875 -13.171875 C 4.460938 -13.085938 4.285156 -13.003906 4.140625 -12.921875 C 4.003906 -12.847656 3.90625 -12.8125 3.84375 -12.8125 C 3.820312 -12.8125 3.796875 -12.816406 3.765625 -12.828125 C 3.734375 -12.847656 3.703125 -12.875 3.671875 -12.90625 C 3.648438 -12.945312 3.632812 -13 3.625 -13.0625 C 3.613281 -13.132812 3.609375 -13.222656 3.609375 -13.328125 C 3.609375 -13.429688 3.617188 -13.523438 3.640625 -13.609375 C 3.660156 -13.703125 3.707031 -13.78125 3.78125 -13.84375 C 3.84375 -13.90625 3.960938 -13.976562 4.140625 -14.0625 C 4.316406 -14.144531 4.523438 -14.226562 4.765625 -14.3125 C 5.003906 -14.394531 5.269531 -14.460938 5.5625 -14.515625 C 5.863281 -14.578125 6.160156 -14.609375 6.453125 -14.609375 C 7.054688 -14.609375 7.582031 -14.519531 8.03125 -14.34375 C 8.476562 -14.175781 8.847656 -13.945312 9.140625 -13.65625 C 9.441406 -13.375 9.664062 -13.03125 9.8125 -12.625 C 9.96875 -12.226562 10.046875 -11.804688 10.046875 -11.359375 Z M 7.078125 -3.53125 C 7.078125 -3.375 7.0625 -3.238281 7.03125 -3.125 C 7.007812 -3.019531 6.96875 -2.9375 6.90625 -2.875 C 6.84375 -2.8125 6.757812 -2.765625 6.65625 -2.734375 C 6.5625 -2.710938 6.441406 -2.703125 6.296875 -2.703125 C 6.128906 -2.703125 5.992188 -2.710938 5.890625 -2.734375 C 5.785156 -2.765625 5.695312 -2.8125 5.625 -2.875 C 5.5625 -2.9375 5.515625 -3.019531 5.484375 -3.125 C 5.460938 -3.238281 5.453125 -3.375 5.453125 -3.53125 C 5.453125 -3.6875 5.460938 -3.816406 5.484375 -3.921875 C 5.515625 -4.023438 5.5625 -4.109375 5.625 -4.171875 C 5.695312 -4.242188 5.785156 -4.289062 5.890625 -4.3125 C 5.992188 -4.34375 6.128906 -4.359375 6.296875 -4.359375 C 6.441406 -4.359375 6.5625 -4.34375 6.65625 -4.3125 C 6.757812 -4.289062 6.84375 -4.242188 6.90625 -4.171875 C 6.96875 -4.109375 7.007812 -4.023438 7.03125 -3.921875 C 7.0625 -3.816406 7.078125 -3.6875 7.078125 -3.53125 Z M 7.078125 -3.53125 "/> +</g> +<g id="glyph-1-1"> +<path d="M 8.515625 -0.296875 C 8.492188 -0.222656 8.457031 -0.160156 8.40625 -0.109375 C 8.351562 -0.0664062 8.285156 -0.03125 8.203125 0 C 8.117188 0.03125 8.015625 0.0507812 7.890625 0.0625 C 7.773438 0.0703125 7.644531 0.078125 7.5 0.078125 C 7.382812 0.078125 7.28125 0.0703125 7.1875 0.0625 C 7.101562 0.0625 7.023438 0.0546875 6.953125 0.046875 C 6.890625 0.0351562 6.832031 0.0195312 6.78125 0 C 6.726562 -0.0195312 6.675781 -0.0390625 6.625 -0.0625 C 6.582031 -0.09375 6.546875 -0.125 6.515625 -0.15625 C 6.492188 -0.195312 6.476562 -0.242188 6.46875 -0.296875 L 0.609375 -16.5625 C 0.554688 -16.6875 0.53125 -16.789062 0.53125 -16.875 C 0.539062 -16.957031 0.578125 -17.019531 0.640625 -17.0625 C 0.703125 -17.113281 0.789062 -17.144531 0.90625 -17.15625 C 1.03125 -17.164062 1.195312 -17.171875 1.40625 -17.171875 C 1.570312 -17.171875 1.703125 -17.164062 1.796875 -17.15625 C 1.898438 -17.144531 1.976562 -17.125 2.03125 -17.09375 C 2.09375 -17.070312 2.140625 -17.035156 2.171875 -16.984375 C 2.203125 -16.941406 2.234375 -16.890625 2.265625 -16.828125 L 7.578125 -1.78125 L 12.734375 -16.828125 C 12.753906 -16.890625 12.773438 -16.941406 12.796875 -16.984375 C 12.828125 -17.035156 12.875 -17.070312 12.9375 -17.09375 C 13.007812 -17.125 13.101562 -17.144531 13.21875 -17.15625 C 13.332031 -17.164062 13.476562 -17.171875 13.65625 -17.171875 C 13.863281 -17.171875 14.023438 -17.160156 14.140625 -17.140625 C 14.265625 -17.128906 14.347656 -17.101562 14.390625 -17.0625 C 14.441406 -17.019531 14.460938 -16.957031 14.453125 -16.875 C 14.453125 -16.789062 14.425781 -16.6875 14.375 -16.5625 Z M 8.515625 -0.296875 "/> +</g> +<g id="glyph-1-2"> +<path d="M 11.859375 -0.265625 C 11.859375 -0.210938 11.84375 -0.160156 11.8125 -0.109375 C 11.789062 -0.0664062 11.75 -0.03125 11.6875 0 C 11.632812 0.0195312 11.554688 0.0351562 11.453125 0.046875 C 11.359375 0.0664062 11.238281 0.078125 11.09375 0.078125 C 10.9375 0.078125 10.8125 0.0664062 10.71875 0.046875 C 10.625 0.0351562 10.546875 0.0195312 10.484375 0 C 10.429688 -0.03125 10.394531 -0.0664062 10.375 -0.109375 C 10.351562 -0.160156 10.34375 -0.210938 10.34375 -0.265625 L 10.34375 -1.953125 C 9.65625 -1.191406 8.984375 -0.640625 8.328125 -0.296875 C 7.671875 0.046875 7.019531 0.21875 6.375 0.21875 C 5.582031 0.21875 4.914062 0.0859375 4.375 -0.171875 C 3.84375 -0.429688 3.410156 -0.785156 3.078125 -1.234375 C 2.753906 -1.691406 2.519531 -2.21875 2.375 -2.8125 C 2.226562 -3.414062 2.15625 -4.144531 2.15625 -5 L 2.15625 -12.21875 C 2.15625 -12.269531 2.164062 -12.316406 2.1875 -12.359375 C 2.207031 -12.410156 2.25 -12.453125 2.3125 -12.484375 C 2.375 -12.515625 2.453125 -12.535156 2.546875 -12.546875 C 2.648438 -12.554688 2.78125 -12.5625 2.9375 -12.5625 C 3.09375 -12.5625 3.21875 -12.554688 3.3125 -12.546875 C 3.414062 -12.535156 3.492188 -12.515625 3.546875 -12.484375 C 3.609375 -12.453125 3.648438 -12.410156 3.671875 -12.359375 C 3.703125 -12.316406 3.71875 -12.269531 3.71875 -12.21875 L 3.71875 -5.140625 C 3.71875 -4.398438 3.773438 -3.796875 3.890625 -3.328125 C 4.003906 -2.859375 4.175781 -2.457031 4.40625 -2.125 C 4.632812 -1.800781 4.925781 -1.546875 5.28125 -1.359375 C 5.644531 -1.179688 6.066406 -1.09375 6.546875 -1.09375 C 7.148438 -1.09375 7.753906 -1.304688 8.359375 -1.734375 C 8.960938 -2.171875 9.601562 -2.804688 10.28125 -3.640625 L 10.28125 -12.21875 C 10.28125 -12.269531 10.289062 -12.316406 10.3125 -12.359375 C 10.332031 -12.410156 10.375 -12.453125 10.4375 -12.484375 C 10.5 -12.515625 10.578125 -12.535156 10.671875 -12.546875 C 10.773438 -12.554688 10.910156 -12.5625 11.078125 -12.5625 C 11.222656 -12.5625 11.347656 -12.554688 11.453125 -12.546875 C 11.554688 -12.535156 11.632812 -12.515625 11.6875 -12.484375 C 11.75 -12.453125 11.789062 -12.410156 11.8125 -12.359375 C 11.84375 -12.316406 11.859375 -12.269531 11.859375 -12.21875 Z M 11.859375 -0.265625 "/> +</g> +<g id="glyph-1-3"> +<path d="M 3.78125 -0.265625 C 3.78125 -0.210938 3.765625 -0.160156 3.734375 -0.109375 C 3.710938 -0.0664062 3.671875 -0.03125 3.609375 0 C 3.554688 0.0195312 3.476562 0.0351562 3.375 0.046875 C 3.269531 0.0664062 3.140625 0.078125 2.984375 0.078125 C 2.835938 0.078125 2.710938 0.0664062 2.609375 0.046875 C 2.503906 0.0351562 2.421875 0.0195312 2.359375 0 C 2.296875 -0.03125 2.253906 -0.0664062 2.234375 -0.109375 C 2.210938 -0.160156 2.203125 -0.210938 2.203125 -0.265625 L 2.203125 -18.078125 C 2.203125 -18.128906 2.210938 -18.175781 2.234375 -18.21875 C 2.253906 -18.257812 2.296875 -18.296875 2.359375 -18.328125 C 2.421875 -18.359375 2.503906 -18.378906 2.609375 -18.390625 C 2.710938 -18.410156 2.835938 -18.421875 2.984375 -18.421875 C 3.140625 -18.421875 3.269531 -18.410156 3.375 -18.390625 C 3.476562 -18.378906 3.554688 -18.359375 3.609375 -18.328125 C 3.671875 -18.296875 3.710938 -18.257812 3.734375 -18.21875 C 3.765625 -18.175781 3.78125 -18.128906 3.78125 -18.078125 Z M 3.78125 -0.265625 "/> +</g> +<g id="glyph-1-4"> +<path d="M 11.90625 -0.265625 C 11.90625 -0.210938 11.890625 -0.160156 11.859375 -0.109375 C 11.835938 -0.0664062 11.796875 -0.03125 11.734375 0 C 11.679688 0.0195312 11.601562 0.0351562 11.5 0.046875 C 11.394531 0.0664062 11.269531 0.078125 11.125 0.078125 C 10.96875 0.078125 10.835938 0.0664062 10.734375 0.046875 C 10.628906 0.0351562 10.546875 0.0195312 10.484375 0 C 10.429688 -0.03125 10.390625 -0.0664062 10.359375 -0.109375 C 10.335938 -0.160156 10.328125 -0.210938 10.328125 -0.265625 L 10.328125 -7.359375 C 10.328125 -8.097656 10.269531 -8.695312 10.15625 -9.15625 C 10.039062 -9.625 9.867188 -10.019531 9.640625 -10.34375 C 9.410156 -10.675781 9.117188 -10.929688 8.765625 -11.109375 C 8.410156 -11.296875 7.992188 -11.390625 7.515625 -11.390625 C 6.910156 -11.390625 6.300781 -11.171875 5.6875 -10.734375 C 5.082031 -10.304688 4.445312 -9.675781 3.78125 -8.84375 L 3.78125 -0.265625 C 3.78125 -0.210938 3.765625 -0.160156 3.734375 -0.109375 C 3.710938 -0.0664062 3.671875 -0.03125 3.609375 0 C 3.554688 0.0195312 3.476562 0.0351562 3.375 0.046875 C 3.269531 0.0664062 3.140625 0.078125 2.984375 0.078125 C 2.835938 0.078125 2.710938 0.0664062 2.609375 0.046875 C 2.503906 0.0351562 2.421875 0.0195312 2.359375 0 C 2.296875 -0.03125 2.253906 -0.0664062 2.234375 -0.109375 C 2.210938 -0.160156 2.203125 -0.210938 2.203125 -0.265625 L 2.203125 -12.21875 C 2.203125 -12.269531 2.210938 -12.316406 2.234375 -12.359375 C 2.253906 -12.410156 2.296875 -12.453125 2.359375 -12.484375 C 2.421875 -12.515625 2.5 -12.535156 2.59375 -12.546875 C 2.6875 -12.554688 2.804688 -12.5625 2.953125 -12.5625 C 3.109375 -12.5625 3.234375 -12.554688 3.328125 -12.546875 C 3.421875 -12.535156 3.492188 -12.515625 3.546875 -12.484375 C 3.609375 -12.453125 3.648438 -12.410156 3.671875 -12.359375 C 3.691406 -12.316406 3.703125 -12.269531 3.703125 -12.21875 L 3.703125 -10.53125 C 4.390625 -11.300781 5.0625 -11.859375 5.71875 -12.203125 C 6.382812 -12.546875 7.039062 -12.71875 7.6875 -12.71875 C 8.46875 -12.71875 9.128906 -12.582031 9.671875 -12.3125 C 10.210938 -12.050781 10.644531 -11.695312 10.96875 -11.25 C 11.300781 -10.800781 11.539062 -10.273438 11.6875 -9.671875 C 11.832031 -9.078125 11.90625 -8.351562 11.90625 -7.5 Z M 11.90625 -0.265625 "/> +</g> +<g id="glyph-1-5"> +<path d="M 11.953125 -6.859375 C 11.953125 -6.535156 11.867188 -6.316406 11.703125 -6.203125 C 11.535156 -6.085938 11.375 -6.03125 11.21875 -6.03125 L 3.0625 -6.03125 C 3.0625 -5.289062 3.132812 -4.617188 3.28125 -4.015625 C 3.425781 -3.421875 3.664062 -2.910156 4 -2.484375 C 4.332031 -2.054688 4.769531 -1.726562 5.3125 -1.5 C 5.851562 -1.269531 6.515625 -1.15625 7.296875 -1.15625 C 7.847656 -1.15625 8.34375 -1.203125 8.78125 -1.296875 C 9.226562 -1.390625 9.609375 -1.492188 9.921875 -1.609375 C 10.242188 -1.734375 10.507812 -1.84375 10.71875 -1.9375 C 10.925781 -2.039062 11.078125 -2.09375 11.171875 -2.09375 C 11.222656 -2.09375 11.269531 -2.078125 11.3125 -2.046875 C 11.351562 -2.023438 11.382812 -1.984375 11.40625 -1.921875 C 11.4375 -1.867188 11.457031 -1.796875 11.46875 -1.703125 C 11.488281 -1.617188 11.5 -1.507812 11.5 -1.375 C 11.5 -1.3125 11.492188 -1.25 11.484375 -1.1875 C 11.472656 -1.132812 11.460938 -1.082031 11.453125 -1.03125 C 11.441406 -0.988281 11.421875 -0.941406 11.390625 -0.890625 C 11.359375 -0.847656 11.320312 -0.804688 11.28125 -0.765625 C 11.238281 -0.722656 11.101562 -0.644531 10.875 -0.53125 C 10.644531 -0.425781 10.34375 -0.316406 9.96875 -0.203125 C 9.601562 -0.0976562 9.175781 -0.00390625 8.6875 0.078125 C 8.195312 0.171875 7.671875 0.21875 7.109375 0.21875 C 6.179688 0.21875 5.359375 0.0820312 4.640625 -0.1875 C 3.929688 -0.46875 3.332031 -0.878906 2.84375 -1.421875 C 2.363281 -1.960938 2 -2.632812 1.75 -3.4375 C 1.5 -4.238281 1.375 -5.164062 1.375 -6.21875 C 1.375 -7.238281 1.503906 -8.148438 1.765625 -8.953125 C 2.023438 -9.753906 2.394531 -10.429688 2.875 -10.984375 C 3.363281 -11.546875 3.945312 -11.972656 4.625 -12.265625 C 5.3125 -12.566406 6.070312 -12.71875 6.90625 -12.71875 C 7.8125 -12.71875 8.578125 -12.566406 9.203125 -12.265625 C 9.835938 -11.960938 10.359375 -11.554688 10.765625 -11.046875 C 11.179688 -10.546875 11.484375 -9.957031 11.671875 -9.28125 C 11.859375 -8.613281 11.953125 -7.910156 11.953125 -7.171875 Z M 10.328125 -7.328125 C 10.359375 -8.585938 10.066406 -9.570312 9.453125 -10.28125 C 8.847656 -11 7.96875 -11.359375 6.8125 -11.359375 C 6.207031 -11.359375 5.675781 -11.242188 5.21875 -11.015625 C 4.769531 -10.796875 4.390625 -10.5 4.078125 -10.125 C 3.765625 -9.757812 3.523438 -9.332031 3.359375 -8.84375 C 3.191406 -8.351562 3.09375 -7.847656 3.0625 -7.328125 Z M 10.328125 -7.328125 "/> +</g> +<g id="glyph-1-6"> +<path d="M 8.84375 -11.609375 C 8.84375 -11.484375 8.835938 -11.375 8.828125 -11.28125 C 8.816406 -11.1875 8.800781 -11.109375 8.78125 -11.046875 C 8.757812 -10.992188 8.734375 -10.953125 8.703125 -10.921875 C 8.671875 -10.890625 8.628906 -10.875 8.578125 -10.875 C 8.492188 -10.875 8.398438 -10.894531 8.296875 -10.9375 C 8.191406 -10.976562 8.066406 -11.019531 7.921875 -11.0625 C 7.785156 -11.101562 7.632812 -11.144531 7.46875 -11.1875 C 7.300781 -11.226562 7.113281 -11.25 6.90625 -11.25 C 6.664062 -11.25 6.429688 -11.195312 6.203125 -11.09375 C 5.972656 -10.988281 5.734375 -10.820312 5.484375 -10.59375 C 5.234375 -10.375 4.96875 -10.078125 4.6875 -9.703125 C 4.414062 -9.335938 4.113281 -8.882812 3.78125 -8.34375 L 3.78125 -0.265625 C 3.78125 -0.210938 3.765625 -0.160156 3.734375 -0.109375 C 3.710938 -0.0664062 3.671875 -0.03125 3.609375 0 C 3.554688 0.0195312 3.476562 0.0351562 3.375 0.046875 C 3.269531 0.0664062 3.140625 0.078125 2.984375 0.078125 C 2.835938 0.078125 2.710938 0.0664062 2.609375 0.046875 C 2.503906 0.0351562 2.421875 0.0195312 2.359375 0 C 2.296875 -0.03125 2.253906 -0.0664062 2.234375 -0.109375 C 2.210938 -0.160156 2.203125 -0.210938 2.203125 -0.265625 L 2.203125 -12.21875 C 2.203125 -12.269531 2.210938 -12.316406 2.234375 -12.359375 C 2.253906 -12.410156 2.296875 -12.453125 2.359375 -12.484375 C 2.421875 -12.515625 2.5 -12.535156 2.59375 -12.546875 C 2.6875 -12.554688 2.804688 -12.5625 2.953125 -12.5625 C 3.109375 -12.5625 3.234375 -12.554688 3.328125 -12.546875 C 3.421875 -12.535156 3.492188 -12.515625 3.546875 -12.484375 C 3.609375 -12.453125 3.648438 -12.410156 3.671875 -12.359375 C 3.691406 -12.316406 3.703125 -12.269531 3.703125 -12.21875 L 3.703125 -10.328125 C 4.046875 -10.835938 4.363281 -11.242188 4.65625 -11.546875 C 4.945312 -11.859375 5.222656 -12.097656 5.484375 -12.265625 C 5.742188 -12.441406 6 -12.5625 6.25 -12.625 C 6.507812 -12.6875 6.769531 -12.71875 7.03125 -12.71875 C 7.144531 -12.71875 7.273438 -12.707031 7.421875 -12.6875 C 7.578125 -12.675781 7.738281 -12.648438 7.90625 -12.609375 C 8.082031 -12.578125 8.238281 -12.535156 8.375 -12.484375 C 8.507812 -12.441406 8.601562 -12.398438 8.65625 -12.359375 C 8.707031 -12.316406 8.738281 -12.28125 8.75 -12.25 C 8.769531 -12.21875 8.785156 -12.175781 8.796875 -12.125 C 8.816406 -12.082031 8.828125 -12.019531 8.828125 -11.9375 C 8.835938 -11.851562 8.84375 -11.742188 8.84375 -11.609375 Z M 8.84375 -11.609375 "/> +</g> +<g id="glyph-1-7"> +<path d="M 10.578125 -0.265625 C 10.578125 -0.171875 10.546875 -0.0976562 10.484375 -0.046875 C 10.429688 -0.00390625 10.359375 0.0234375 10.265625 0.046875 C 10.179688 0.0664062 10.054688 0.078125 9.890625 0.078125 C 9.742188 0.078125 9.617188 0.0664062 9.515625 0.046875 C 9.410156 0.0234375 9.328125 -0.00390625 9.265625 -0.046875 C 9.210938 -0.0976562 9.1875 -0.171875 9.1875 -0.265625 L 9.1875 -1.59375 C 8.644531 -1.019531 8.050781 -0.570312 7.40625 -0.25 C 6.757812 0.0625 6.085938 0.21875 5.390625 0.21875 C 4.765625 0.21875 4.203125 0.140625 3.703125 -0.015625 C 3.203125 -0.179688 2.78125 -0.414062 2.4375 -0.71875 C 2.09375 -1.019531 1.828125 -1.382812 1.640625 -1.8125 C 1.460938 -2.25 1.375 -2.738281 1.375 -3.28125 C 1.375 -3.9375 1.507812 -4.507812 1.78125 -5 C 2.050781 -5.488281 2.4375 -5.894531 2.9375 -6.21875 C 3.445312 -6.550781 4.050781 -6.796875 4.75 -6.953125 C 5.457031 -7.117188 6.242188 -7.203125 7.109375 -7.203125 L 9.015625 -7.203125 L 9.015625 -8.234375 C 9.015625 -8.742188 8.957031 -9.191406 8.84375 -9.578125 C 8.738281 -9.972656 8.566406 -10.300781 8.328125 -10.5625 C 8.097656 -10.832031 7.789062 -11.03125 7.40625 -11.15625 C 7.03125 -11.289062 6.570312 -11.359375 6.03125 -11.359375 C 5.5 -11.359375 5.019531 -11.296875 4.59375 -11.171875 C 4.175781 -11.046875 3.804688 -10.898438 3.484375 -10.734375 C 3.171875 -10.578125 2.910156 -10.4375 2.703125 -10.3125 C 2.492188 -10.1875 2.347656 -10.125 2.265625 -10.125 C 2.210938 -10.125 2.160156 -10.128906 2.109375 -10.140625 C 2.066406 -10.160156 2.03125 -10.191406 2 -10.234375 C 1.96875 -10.285156 1.945312 -10.347656 1.9375 -10.421875 C 1.925781 -10.503906 1.921875 -10.597656 1.921875 -10.703125 C 1.921875 -10.890625 1.929688 -11.035156 1.953125 -11.140625 C 1.984375 -11.253906 2.050781 -11.363281 2.15625 -11.46875 C 2.269531 -11.582031 2.46875 -11.710938 2.75 -11.859375 C 3.03125 -12.015625 3.351562 -12.15625 3.71875 -12.28125 C 4.082031 -12.40625 4.472656 -12.507812 4.890625 -12.59375 C 5.316406 -12.675781 5.742188 -12.71875 6.171875 -12.71875 C 6.992188 -12.71875 7.6875 -12.617188 8.25 -12.421875 C 8.8125 -12.222656 9.265625 -11.9375 9.609375 -11.5625 C 9.960938 -11.1875 10.210938 -10.726562 10.359375 -10.1875 C 10.503906 -9.644531 10.578125 -9.03125 10.578125 -8.34375 Z M 9.015625 -5.90625 L 6.828125 -5.90625 C 6.191406 -5.90625 5.632812 -5.847656 5.15625 -5.734375 C 4.6875 -5.617188 4.289062 -5.453125 3.96875 -5.234375 C 3.65625 -5.015625 3.421875 -4.75 3.265625 -4.4375 C 3.117188 -4.132812 3.046875 -3.785156 3.046875 -3.390625 C 3.046875 -2.703125 3.257812 -2.148438 3.6875 -1.734375 C 4.125 -1.328125 4.738281 -1.125 5.53125 -1.125 C 6.15625 -1.125 6.738281 -1.285156 7.28125 -1.609375 C 7.820312 -1.929688 8.398438 -2.425781 9.015625 -3.09375 Z M 9.015625 -5.90625 "/> +</g> +<g id="glyph-1-8"> +<path d="M 12.640625 -6.390625 C 12.640625 -5.367188 12.53125 -4.453125 12.3125 -3.640625 C 12.09375 -2.828125 11.765625 -2.132812 11.328125 -1.5625 C 10.890625 -0.988281 10.351562 -0.546875 9.71875 -0.234375 C 9.082031 0.0664062 8.347656 0.21875 7.515625 0.21875 C 7.148438 0.21875 6.8125 0.179688 6.5 0.109375 C 6.1875 0.0351562 5.878906 -0.0820312 5.578125 -0.25 C 5.273438 -0.414062 4.96875 -0.625 4.65625 -0.875 C 4.34375 -1.132812 4.003906 -1.445312 3.640625 -1.8125 L 3.640625 -0.265625 C 3.640625 -0.203125 3.625 -0.148438 3.59375 -0.109375 C 3.570312 -0.0664062 3.53125 -0.03125 3.46875 0 C 3.414062 0.03125 3.34375 0.0507812 3.25 0.0625 C 3.164062 0.0703125 3.054688 0.078125 2.921875 0.078125 C 2.785156 0.078125 2.671875 0.0703125 2.578125 0.0625 C 2.484375 0.0507812 2.40625 0.03125 2.34375 0 C 2.289062 -0.03125 2.253906 -0.0664062 2.234375 -0.109375 C 2.210938 -0.148438 2.203125 -0.203125 2.203125 -0.265625 L 2.203125 -18.078125 C 2.203125 -18.128906 2.210938 -18.175781 2.234375 -18.21875 C 2.253906 -18.257812 2.296875 -18.296875 2.359375 -18.328125 C 2.421875 -18.359375 2.503906 -18.378906 2.609375 -18.390625 C 2.710938 -18.410156 2.835938 -18.421875 2.984375 -18.421875 C 3.140625 -18.421875 3.269531 -18.410156 3.375 -18.390625 C 3.476562 -18.378906 3.554688 -18.359375 3.609375 -18.328125 C 3.671875 -18.296875 3.710938 -18.257812 3.734375 -18.21875 C 3.765625 -18.175781 3.78125 -18.128906 3.78125 -18.078125 L 3.78125 -10.609375 C 4.15625 -11.003906 4.515625 -11.335938 4.859375 -11.609375 C 5.203125 -11.878906 5.535156 -12.09375 5.859375 -12.25 C 6.191406 -12.414062 6.519531 -12.535156 6.84375 -12.609375 C 7.164062 -12.679688 7.5 -12.71875 7.84375 -12.71875 C 8.695312 -12.71875 9.429688 -12.546875 10.046875 -12.203125 C 10.660156 -11.867188 11.160156 -11.414062 11.546875 -10.84375 C 11.929688 -10.269531 12.207031 -9.597656 12.375 -8.828125 C 12.550781 -8.066406 12.640625 -7.253906 12.640625 -6.390625 Z M 11 -6.140625 C 11 -6.816406 10.941406 -7.46875 10.828125 -8.09375 C 10.722656 -8.71875 10.539062 -9.269531 10.28125 -9.75 C 10.03125 -10.238281 9.691406 -10.628906 9.265625 -10.921875 C 8.847656 -11.210938 8.320312 -11.359375 7.6875 -11.359375 C 7.382812 -11.359375 7.078125 -11.3125 6.765625 -11.21875 C 6.460938 -11.132812 6.148438 -10.988281 5.828125 -10.78125 C 5.515625 -10.582031 5.1875 -10.320312 4.84375 -10 C 4.507812 -9.6875 4.15625 -9.289062 3.78125 -8.8125 L 3.78125 -3.609375 C 4.4375 -2.804688 5.070312 -2.191406 5.6875 -1.765625 C 6.300781 -1.335938 6.9375 -1.125 7.59375 -1.125 C 8.207031 -1.125 8.726562 -1.269531 9.15625 -1.5625 C 9.59375 -1.863281 9.945312 -2.25 10.21875 -2.71875 C 10.488281 -3.195312 10.6875 -3.734375 10.8125 -4.328125 C 10.9375 -4.929688 11 -5.535156 11 -6.140625 Z M 11 -6.140625 "/> +</g> +<g id="glyph-1-9"> +<path d="M 3.78125 -0.265625 C 3.78125 -0.210938 3.765625 -0.160156 3.734375 -0.109375 C 3.710938 -0.0664062 3.671875 -0.03125 3.609375 0 C 3.554688 0.0195312 3.476562 0.0351562 3.375 0.046875 C 3.269531 0.0664062 3.140625 0.078125 2.984375 0.078125 C 2.835938 0.078125 2.710938 0.0664062 2.609375 0.046875 C 2.503906 0.0351562 2.421875 0.0195312 2.359375 0 C 2.296875 -0.03125 2.253906 -0.0664062 2.234375 -0.109375 C 2.210938 -0.160156 2.203125 -0.210938 2.203125 -0.265625 L 2.203125 -12.21875 C 2.203125 -12.269531 2.210938 -12.316406 2.234375 -12.359375 C 2.253906 -12.410156 2.296875 -12.453125 2.359375 -12.484375 C 2.421875 -12.515625 2.503906 -12.535156 2.609375 -12.546875 C 2.710938 -12.554688 2.835938 -12.5625 2.984375 -12.5625 C 3.140625 -12.5625 3.269531 -12.554688 3.375 -12.546875 C 3.476562 -12.535156 3.554688 -12.515625 3.609375 -12.484375 C 3.671875 -12.453125 3.710938 -12.410156 3.734375 -12.359375 C 3.765625 -12.316406 3.78125 -12.269531 3.78125 -12.21875 Z M 4.015625 -16.25 C 4.015625 -15.832031 3.9375 -15.546875 3.78125 -15.390625 C 3.632812 -15.242188 3.363281 -15.171875 2.96875 -15.171875 C 2.582031 -15.171875 2.316406 -15.242188 2.171875 -15.390625 C 2.023438 -15.535156 1.953125 -15.816406 1.953125 -16.234375 C 1.953125 -16.660156 2.023438 -16.945312 2.171875 -17.09375 C 2.328125 -17.25 2.601562 -17.328125 3 -17.328125 C 3.382812 -17.328125 3.648438 -17.253906 3.796875 -17.109375 C 3.941406 -16.960938 4.015625 -16.675781 4.015625 -16.25 Z M 4.015625 -16.25 "/> +</g> +<g id="glyph-1-10"> +<path d="M 7.96875 -0.984375 C 7.96875 -0.796875 7.953125 -0.644531 7.921875 -0.53125 C 7.890625 -0.414062 7.835938 -0.320312 7.765625 -0.25 C 7.703125 -0.1875 7.609375 -0.125 7.484375 -0.0625 C 7.359375 -0.0078125 7.210938 0.03125 7.046875 0.0625 C 6.878906 0.101562 6.703125 0.132812 6.515625 0.15625 C 6.328125 0.1875 6.144531 0.203125 5.96875 0.203125 C 5.382812 0.203125 4.882812 0.125 4.46875 -0.03125 C 4.050781 -0.195312 3.707031 -0.4375 3.4375 -0.75 C 3.175781 -1.070312 2.988281 -1.476562 2.875 -1.96875 C 2.757812 -2.46875 2.703125 -3.050781 2.703125 -3.71875 L 2.703125 -11.171875 L 0.90625 -11.171875 C 0.789062 -11.171875 0.695312 -11.222656 0.625 -11.328125 C 0.550781 -11.441406 0.515625 -11.609375 0.515625 -11.828125 C 0.515625 -11.941406 0.519531 -12.039062 0.53125 -12.125 C 0.550781 -12.207031 0.578125 -12.273438 0.609375 -12.328125 C 0.648438 -12.390625 0.691406 -12.429688 0.734375 -12.453125 C 0.785156 -12.484375 0.84375 -12.5 0.90625 -12.5 L 2.703125 -12.5 L 2.703125 -15.4375 C 2.703125 -15.488281 2.710938 -15.535156 2.734375 -15.578125 C 2.753906 -15.617188 2.796875 -15.65625 2.859375 -15.6875 C 2.921875 -15.71875 3 -15.738281 3.09375 -15.75 C 3.195312 -15.769531 3.320312 -15.78125 3.46875 -15.78125 C 3.632812 -15.78125 3.765625 -15.769531 3.859375 -15.75 C 3.960938 -15.738281 4.039062 -15.71875 4.09375 -15.6875 C 4.15625 -15.65625 4.195312 -15.617188 4.21875 -15.578125 C 4.25 -15.535156 4.265625 -15.488281 4.265625 -15.4375 L 4.265625 -12.5 L 7.578125 -12.5 C 7.640625 -12.5 7.691406 -12.484375 7.734375 -12.453125 C 7.785156 -12.429688 7.828125 -12.390625 7.859375 -12.328125 C 7.898438 -12.273438 7.925781 -12.207031 7.9375 -12.125 C 7.957031 -12.039062 7.96875 -11.941406 7.96875 -11.828125 C 7.96875 -11.609375 7.929688 -11.441406 7.859375 -11.328125 C 7.785156 -11.222656 7.691406 -11.171875 7.578125 -11.171875 L 4.265625 -11.171875 L 4.265625 -3.9375 C 4.265625 -3.03125 4.394531 -2.335938 4.65625 -1.859375 C 4.914062 -1.390625 5.390625 -1.15625 6.078125 -1.15625 C 6.285156 -1.15625 6.472656 -1.175781 6.640625 -1.21875 C 6.816406 -1.257812 6.972656 -1.304688 7.109375 -1.359375 C 7.242188 -1.410156 7.351562 -1.457031 7.4375 -1.5 C 7.53125 -1.550781 7.613281 -1.578125 7.6875 -1.578125 C 7.726562 -1.578125 7.765625 -1.566406 7.796875 -1.546875 C 7.835938 -1.523438 7.867188 -1.488281 7.890625 -1.4375 C 7.910156 -1.394531 7.925781 -1.335938 7.9375 -1.265625 C 7.957031 -1.191406 7.96875 -1.097656 7.96875 -0.984375 Z M 7.96875 -0.984375 "/> +</g> +<g id="glyph-1-11"> +<path d="M 6.859375 0 L 5.1875 4.484375 C 5.144531 4.578125 5.050781 4.65625 4.90625 4.71875 C 4.769531 4.789062 4.546875 4.828125 4.234375 4.828125 C 4.078125 4.828125 3.945312 4.816406 3.84375 4.796875 C 3.738281 4.773438 3.65625 4.738281 3.59375 4.6875 C 3.539062 4.644531 3.507812 4.585938 3.5 4.515625 C 3.488281 4.441406 3.503906 4.347656 3.546875 4.234375 L 5.25 0 C 5.175781 -0.03125 5.113281 -0.0703125 5.0625 -0.125 C 5.007812 -0.1875 4.972656 -0.25 4.953125 -0.3125 L 0.609375 -11.984375 C 0.566406 -12.109375 0.546875 -12.207031 0.546875 -12.28125 C 0.546875 -12.351562 0.566406 -12.410156 0.609375 -12.453125 C 0.660156 -12.503906 0.738281 -12.535156 0.84375 -12.546875 C 0.957031 -12.554688 1.109375 -12.5625 1.296875 -12.5625 C 1.484375 -12.5625 1.632812 -12.554688 1.75 -12.546875 C 1.863281 -12.535156 1.953125 -12.515625 2.015625 -12.484375 C 2.085938 -12.460938 2.140625 -12.425781 2.171875 -12.375 C 2.203125 -12.332031 2.234375 -12.28125 2.265625 -12.21875 L 6 -1.78125 L 6.046875 -1.78125 L 9.71875 -12.21875 C 9.769531 -12.34375 9.832031 -12.425781 9.90625 -12.46875 C 9.976562 -12.507812 10.078125 -12.535156 10.203125 -12.546875 C 10.328125 -12.554688 10.476562 -12.5625 10.65625 -12.5625 C 10.820312 -12.5625 10.957031 -12.550781 11.0625 -12.53125 C 11.175781 -12.519531 11.257812 -12.488281 11.3125 -12.4375 C 11.363281 -12.394531 11.390625 -12.335938 11.390625 -12.265625 C 11.390625 -12.191406 11.367188 -12.097656 11.328125 -11.984375 Z M 6.859375 0 "/> +</g> +<g id="glyph-1-12"> +<path d="M 11.671875 -0.71875 C 11.671875 -0.601562 11.660156 -0.5 11.640625 -0.40625 C 11.617188 -0.320312 11.585938 -0.25 11.546875 -0.1875 C 11.515625 -0.125 11.472656 -0.078125 11.421875 -0.046875 C 11.367188 -0.015625 11.3125 0 11.25 0 L 3.234375 0 C 3.078125 0 2.914062 -0.0546875 2.75 -0.171875 C 2.582031 -0.296875 2.5 -0.515625 2.5 -0.828125 L 2.5 -16.265625 C 2.5 -16.585938 2.582031 -16.804688 2.75 -16.921875 C 2.914062 -17.035156 3.078125 -17.09375 3.234375 -17.09375 L 11.125 -17.09375 C 11.1875 -17.09375 11.242188 -17.078125 11.296875 -17.046875 C 11.347656 -17.015625 11.390625 -16.96875 11.421875 -16.90625 C 11.460938 -16.851562 11.488281 -16.78125 11.5 -16.6875 C 11.519531 -16.59375 11.53125 -16.484375 11.53125 -16.359375 C 11.53125 -16.242188 11.519531 -16.140625 11.5 -16.046875 C 11.488281 -15.960938 11.460938 -15.890625 11.421875 -15.828125 C 11.390625 -15.773438 11.347656 -15.734375 11.296875 -15.703125 C 11.242188 -15.671875 11.1875 -15.65625 11.125 -15.65625 L 4.109375 -15.65625 L 4.109375 -9.640625 L 10.15625 -9.640625 C 10.226562 -9.640625 10.289062 -9.625 10.34375 -9.59375 C 10.394531 -9.5625 10.4375 -9.515625 10.46875 -9.453125 C 10.507812 -9.398438 10.535156 -9.328125 10.546875 -9.234375 C 10.566406 -9.148438 10.578125 -9.046875 10.578125 -8.921875 C 10.578125 -8.804688 10.566406 -8.707031 10.546875 -8.625 C 10.535156 -8.539062 10.507812 -8.472656 10.46875 -8.421875 C 10.4375 -8.367188 10.394531 -8.328125 10.34375 -8.296875 C 10.289062 -8.273438 10.226562 -8.265625 10.15625 -8.265625 L 4.109375 -8.265625 L 4.109375 -1.4375 L 11.25 -1.4375 C 11.3125 -1.4375 11.367188 -1.421875 11.421875 -1.390625 C 11.472656 -1.359375 11.515625 -1.3125 11.546875 -1.25 C 11.585938 -1.195312 11.617188 -1.125 11.640625 -1.03125 C 11.660156 -0.945312 11.671875 -0.84375 11.671875 -0.71875 Z M 11.671875 -0.71875 "/> +</g> +<g id="glyph-1-13"> +<path d="M 10.5625 -0.515625 C 10.625 -0.410156 10.65625 -0.316406 10.65625 -0.234375 C 10.664062 -0.160156 10.640625 -0.0976562 10.578125 -0.046875 C 10.515625 -0.00390625 10.421875 0.0234375 10.296875 0.046875 C 10.171875 0.0664062 10.007812 0.078125 9.8125 0.078125 C 9.632812 0.078125 9.488281 0.0703125 9.375 0.0625 C 9.257812 0.0507812 9.171875 0.03125 9.109375 0 C 9.046875 -0.03125 8.992188 -0.0664062 8.953125 -0.109375 C 8.910156 -0.148438 8.875 -0.195312 8.84375 -0.25 L 5.609375 -5.25 L 2.40625 -0.25 C 2.375 -0.195312 2.335938 -0.148438 2.296875 -0.109375 C 2.253906 -0.0664062 2.195312 -0.03125 2.125 0 C 2.050781 0.03125 1.957031 0.0507812 1.84375 0.0625 C 1.738281 0.0703125 1.597656 0.078125 1.421875 0.078125 C 1.242188 0.078125 1.09375 0.0664062 0.96875 0.046875 C 0.84375 0.0234375 0.75 -0.00390625 0.6875 -0.046875 C 0.632812 -0.0976562 0.609375 -0.160156 0.609375 -0.234375 C 0.617188 -0.316406 0.660156 -0.410156 0.734375 -0.515625 L 4.671875 -6.3125 L 0.921875 -11.984375 C 0.847656 -12.085938 0.8125 -12.175781 0.8125 -12.25 C 0.8125 -12.332031 0.84375 -12.394531 0.90625 -12.4375 C 0.96875 -12.488281 1.066406 -12.519531 1.203125 -12.53125 C 1.335938 -12.550781 1.5 -12.5625 1.6875 -12.5625 C 1.875 -12.5625 2.019531 -12.554688 2.125 -12.546875 C 2.238281 -12.535156 2.328125 -12.515625 2.390625 -12.484375 C 2.453125 -12.460938 2.5 -12.429688 2.53125 -12.390625 C 2.570312 -12.347656 2.609375 -12.300781 2.640625 -12.25 L 5.6875 -7.578125 L 8.796875 -12.25 C 8.835938 -12.300781 8.875 -12.347656 8.90625 -12.390625 C 8.9375 -12.429688 8.976562 -12.460938 9.03125 -12.484375 C 9.09375 -12.515625 9.175781 -12.535156 9.28125 -12.546875 C 9.382812 -12.554688 9.523438 -12.5625 9.703125 -12.5625 C 9.890625 -12.5625 10.046875 -12.550781 10.171875 -12.53125 C 10.296875 -12.519531 10.390625 -12.488281 10.453125 -12.4375 C 10.515625 -12.394531 10.539062 -12.335938 10.53125 -12.265625 C 10.53125 -12.191406 10.488281 -12.097656 10.40625 -11.984375 L 6.640625 -6.375 Z M 10.5625 -0.515625 "/> +</g> +<g id="glyph-1-14"> +<path d="M 12.640625 -6.421875 C 12.640625 -5.398438 12.523438 -4.476562 12.296875 -3.65625 C 12.078125 -2.84375 11.75 -2.148438 11.3125 -1.578125 C 10.875 -1.003906 10.332031 -0.5625 9.6875 -0.25 C 9.050781 0.0625 8.320312 0.21875 7.5 0.21875 C 7.144531 0.21875 6.8125 0.179688 6.5 0.109375 C 6.1875 0.0351562 5.882812 -0.078125 5.59375 -0.234375 C 5.300781 -0.390625 5.003906 -0.585938 4.703125 -0.828125 C 4.410156 -1.066406 4.101562 -1.351562 3.78125 -1.6875 L 3.78125 4.484375 C 3.78125 4.535156 3.765625 4.582031 3.734375 4.625 C 3.710938 4.664062 3.671875 4.703125 3.609375 4.734375 C 3.554688 4.765625 3.476562 4.785156 3.375 4.796875 C 3.269531 4.816406 3.140625 4.828125 2.984375 4.828125 C 2.835938 4.828125 2.710938 4.816406 2.609375 4.796875 C 2.503906 4.785156 2.421875 4.765625 2.359375 4.734375 C 2.296875 4.703125 2.253906 4.664062 2.234375 4.625 C 2.210938 4.582031 2.203125 4.535156 2.203125 4.484375 L 2.203125 -12.21875 C 2.203125 -12.28125 2.210938 -12.332031 2.234375 -12.375 C 2.253906 -12.425781 2.289062 -12.460938 2.34375 -12.484375 C 2.40625 -12.515625 2.484375 -12.535156 2.578125 -12.546875 C 2.671875 -12.554688 2.785156 -12.5625 2.921875 -12.5625 C 3.054688 -12.5625 3.164062 -12.554688 3.25 -12.546875 C 3.34375 -12.535156 3.414062 -12.515625 3.46875 -12.484375 C 3.53125 -12.460938 3.570312 -12.425781 3.59375 -12.375 C 3.625 -12.332031 3.640625 -12.28125 3.640625 -12.21875 L 3.640625 -10.484375 C 4.015625 -10.867188 4.367188 -11.195312 4.703125 -11.46875 C 5.035156 -11.75 5.367188 -11.984375 5.703125 -12.171875 C 6.035156 -12.359375 6.378906 -12.492188 6.734375 -12.578125 C 7.085938 -12.671875 7.460938 -12.71875 7.859375 -12.71875 C 8.722656 -12.71875 9.457031 -12.550781 10.0625 -12.21875 C 10.675781 -11.882812 11.171875 -11.429688 11.546875 -10.859375 C 11.929688 -10.285156 12.207031 -9.617188 12.375 -8.859375 C 12.550781 -8.097656 12.640625 -7.285156 12.640625 -6.421875 Z M 11 -6.171875 C 11 -6.835938 10.941406 -7.476562 10.828125 -8.09375 C 10.722656 -8.71875 10.546875 -9.269531 10.296875 -9.75 C 10.046875 -10.238281 9.710938 -10.628906 9.296875 -10.921875 C 8.878906 -11.210938 8.351562 -11.359375 7.71875 -11.359375 C 7.394531 -11.359375 7.082031 -11.3125 6.78125 -11.21875 C 6.476562 -11.132812 6.164062 -10.988281 5.84375 -10.78125 C 5.53125 -10.582031 5.203125 -10.320312 4.859375 -10 C 4.515625 -9.6875 4.15625 -9.289062 3.78125 -8.8125 L 3.78125 -3.609375 C 4.4375 -2.804688 5.066406 -2.191406 5.671875 -1.765625 C 6.273438 -1.335938 6.910156 -1.125 7.578125 -1.125 C 8.179688 -1.125 8.703125 -1.269531 9.140625 -1.5625 C 9.578125 -1.863281 9.929688 -2.253906 10.203125 -2.734375 C 10.472656 -3.210938 10.671875 -3.753906 10.796875 -4.359375 C 10.929688 -4.960938 11 -5.566406 11 -6.171875 Z M 11 -6.171875 "/> +</g> +<g id="glyph-1-15"> +<path d="M 12.796875 -6.375 C 12.796875 -5.414062 12.671875 -4.535156 12.421875 -3.734375 C 12.171875 -2.929688 11.800781 -2.234375 11.3125 -1.640625 C 10.820312 -1.054688 10.210938 -0.597656 9.484375 -0.265625 C 8.753906 0.0546875 7.90625 0.21875 6.9375 0.21875 C 6 0.21875 5.179688 0.0703125 4.484375 -0.21875 C 3.785156 -0.507812 3.195312 -0.929688 2.71875 -1.484375 C 2.25 -2.035156 1.898438 -2.703125 1.671875 -3.484375 C 1.441406 -4.273438 1.328125 -5.160156 1.328125 -6.140625 C 1.328125 -7.097656 1.445312 -7.976562 1.6875 -8.78125 C 1.925781 -9.582031 2.289062 -10.273438 2.78125 -10.859375 C 3.269531 -11.441406 3.878906 -11.894531 4.609375 -12.21875 C 5.335938 -12.550781 6.191406 -12.71875 7.171875 -12.71875 C 8.109375 -12.71875 8.925781 -12.570312 9.625 -12.28125 C 10.320312 -11.988281 10.90625 -11.566406 11.375 -11.015625 C 11.84375 -10.460938 12.195312 -9.796875 12.4375 -9.015625 C 12.675781 -8.234375 12.796875 -7.351562 12.796875 -6.375 Z M 11.125 -6.21875 C 11.125 -6.894531 11.054688 -7.539062 10.921875 -8.15625 C 10.796875 -8.78125 10.578125 -9.328125 10.265625 -9.796875 C 9.960938 -10.265625 9.550781 -10.640625 9.03125 -10.921875 C 8.507812 -11.203125 7.859375 -11.34375 7.078125 -11.34375 C 6.367188 -11.34375 5.753906 -11.210938 5.234375 -10.953125 C 4.710938 -10.703125 4.285156 -10.347656 3.953125 -9.890625 C 3.628906 -9.429688 3.382812 -8.894531 3.21875 -8.28125 C 3.0625 -7.664062 2.984375 -7.003906 2.984375 -6.296875 C 2.984375 -5.609375 3.050781 -4.953125 3.1875 -4.328125 C 3.320312 -3.703125 3.539062 -3.15625 3.84375 -2.6875 C 4.15625 -2.226562 4.566406 -1.859375 5.078125 -1.578125 C 5.597656 -1.304688 6.25 -1.171875 7.03125 -1.171875 C 7.738281 -1.171875 8.351562 -1.296875 8.875 -1.546875 C 9.394531 -1.804688 9.820312 -2.160156 10.15625 -2.609375 C 10.488281 -3.066406 10.734375 -3.601562 10.890625 -4.21875 C 11.046875 -4.832031 11.125 -5.5 11.125 -6.21875 Z M 11.125 -6.21875 "/> +</g> +<g id="glyph-1-16"> +<path d="M 9.234375 -3.453125 C 9.234375 -2.878906 9.128906 -2.363281 8.921875 -1.90625 C 8.710938 -1.457031 8.410156 -1.070312 8.015625 -0.75 C 7.617188 -0.4375 7.144531 -0.195312 6.59375 -0.03125 C 6.050781 0.132812 5.453125 0.21875 4.796875 0.21875 C 4.378906 0.21875 3.984375 0.1875 3.609375 0.125 C 3.242188 0.0625 2.910156 -0.0195312 2.609375 -0.125 C 2.316406 -0.226562 2.066406 -0.335938 1.859375 -0.453125 C 1.648438 -0.566406 1.492188 -0.664062 1.390625 -0.75 C 1.296875 -0.84375 1.226562 -0.953125 1.1875 -1.078125 C 1.144531 -1.210938 1.125 -1.390625 1.125 -1.609375 C 1.125 -1.722656 1.128906 -1.820312 1.140625 -1.90625 C 1.160156 -2 1.179688 -2.078125 1.203125 -2.140625 C 1.234375 -2.203125 1.269531 -2.25 1.3125 -2.28125 C 1.363281 -2.3125 1.414062 -2.328125 1.46875 -2.328125 C 1.5625 -2.328125 1.703125 -2.265625 1.890625 -2.140625 C 2.078125 -2.015625 2.304688 -1.878906 2.578125 -1.734375 C 2.859375 -1.585938 3.191406 -1.453125 3.578125 -1.328125 C 3.960938 -1.210938 4.40625 -1.15625 4.90625 -1.15625 C 5.3125 -1.15625 5.679688 -1.195312 6.015625 -1.28125 C 6.347656 -1.363281 6.632812 -1.492188 6.875 -1.671875 C 7.125 -1.847656 7.316406 -2.078125 7.453125 -2.359375 C 7.597656 -2.640625 7.671875 -2.960938 7.671875 -3.328125 C 7.671875 -3.703125 7.582031 -4.015625 7.40625 -4.265625 C 7.226562 -4.523438 6.992188 -4.75 6.703125 -4.9375 C 6.421875 -5.125 6.097656 -5.289062 5.734375 -5.4375 C 5.367188 -5.582031 4.992188 -5.734375 4.609375 -5.890625 C 4.222656 -6.046875 3.847656 -6.210938 3.484375 -6.390625 C 3.117188 -6.578125 2.789062 -6.800781 2.5 -7.0625 C 2.21875 -7.332031 1.988281 -7.648438 1.8125 -8.015625 C 1.632812 -8.390625 1.546875 -8.835938 1.546875 -9.359375 C 1.546875 -9.773438 1.625 -10.179688 1.78125 -10.578125 C 1.9375 -10.972656 2.179688 -11.328125 2.515625 -11.640625 C 2.847656 -11.960938 3.269531 -12.222656 3.78125 -12.421875 C 4.300781 -12.617188 4.910156 -12.71875 5.609375 -12.71875 C 5.910156 -12.71875 6.207031 -12.691406 6.5 -12.640625 C 6.800781 -12.585938 7.070312 -12.519531 7.3125 -12.4375 C 7.550781 -12.363281 7.757812 -12.28125 7.9375 -12.1875 C 8.113281 -12.09375 8.25 -12.007812 8.34375 -11.9375 C 8.4375 -11.875 8.5 -11.816406 8.53125 -11.765625 C 8.5625 -11.710938 8.582031 -11.660156 8.59375 -11.609375 C 8.601562 -11.554688 8.613281 -11.492188 8.625 -11.421875 C 8.632812 -11.347656 8.640625 -11.257812 8.640625 -11.15625 C 8.640625 -11.050781 8.632812 -10.957031 8.625 -10.875 C 8.613281 -10.789062 8.59375 -10.71875 8.5625 -10.65625 C 8.53125 -10.59375 8.492188 -10.546875 8.453125 -10.515625 C 8.421875 -10.484375 8.378906 -10.46875 8.328125 -10.46875 C 8.253906 -10.46875 8.144531 -10.515625 8 -10.609375 C 7.863281 -10.703125 7.679688 -10.804688 7.453125 -10.921875 C 7.222656 -11.035156 6.945312 -11.140625 6.625 -11.234375 C 6.3125 -11.335938 5.945312 -11.390625 5.53125 -11.390625 C 5.125 -11.390625 4.765625 -11.335938 4.453125 -11.234375 C 4.140625 -11.140625 3.878906 -11.003906 3.671875 -10.828125 C 3.472656 -10.660156 3.320312 -10.457031 3.21875 -10.21875 C 3.113281 -9.976562 3.0625 -9.71875 3.0625 -9.4375 C 3.0625 -9.050781 3.148438 -8.722656 3.328125 -8.453125 C 3.503906 -8.191406 3.738281 -7.960938 4.03125 -7.765625 C 4.320312 -7.578125 4.648438 -7.40625 5.015625 -7.25 C 5.390625 -7.101562 5.765625 -6.953125 6.140625 -6.796875 C 6.523438 -6.648438 6.90625 -6.484375 7.28125 -6.296875 C 7.65625 -6.117188 7.984375 -5.898438 8.265625 -5.640625 C 8.554688 -5.390625 8.789062 -5.085938 8.96875 -4.734375 C 9.144531 -4.378906 9.234375 -3.953125 9.234375 -3.453125 Z M 9.234375 -3.453125 "/> +</g> +</g> +<g id="compositing-group-0" transform="translate(38.2671, 35.4325)"> +<rect x="-38.2671" y="-35.4325" width="459.2052" height="425.19" fill="rgb(0%, 0%, 0%)" fill-opacity="0"/> +<path fill="none" stroke-width="1.41" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 145.996094 46.988281 L 145.996094 46.988281 "/> +</g> +<mask id="mask-0"> +<use xlink:href="#compositing-group-0"/> +</mask> +<mask id="mask-1"> +<use xlink:href="#compositing-group-0" filter="url(#filter-remove-color-and-invert-alpha)"/> +</mask> +<g id="compositing-group-1" mask="url(#mask-0)"> +<g transform="translate(38.2671, 35.4325)"> +<rect x="-38.2671" y="-35.4325" width="459.2052" height="425.19" fill="rgb(20%, 20%, 80%)" fill-opacity="1"/> +</g> +</g> +<g id="compositing-group-2" mask="url(#mask-1)"> +<g transform="translate(38.2671, 35.4325)"> +<path fill-rule="nonzero" fill="rgb(100%, 100%, 100%)" fill-opacity="1" d="M 0 0 L 382.671875 0 L 382.671875 354.324219 L 0 354.324219 Z M 0 0 "/> +</g> +</g> +<g id="compositing-group-3" transform="translate(38.2671, 35.4325)"> +<rect x="-38.2671" y="-35.4325" width="459.2052" height="425.19" fill="rgb(0%, 0%, 0%)" fill-opacity="0"/> +<path fill="none" stroke-width="2.26" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 7.941406 234.742188 L 7.953125 233.21875 L 7.984375 231.695312 L 8.039062 230.171875 L 8.117188 228.648438 L 8.214844 227.125 L 8.335938 225.605469 L 8.476562 224.085938 L 8.640625 222.570312 L 8.828125 221.054688 L 9.035156 219.542969 L 9.261719 218.035156 L 9.511719 216.53125 L 9.785156 215.027344 L 10.078125 213.53125 L 10.394531 212.035156 L 10.730469 210.546875 L 11.089844 209.0625 L 11.46875 207.582031 L 11.867188 206.105469 L 12.289062 204.636719 L 12.730469 203.171875 L 13.195312 201.714844 L 13.679688 200.265625 L 14.183594 198.820312 L 14.710938 197.382812 L 15.257812 195.953125 L 15.824219 194.53125 L 16.410156 193.117188 L 17.019531 191.710938 L 17.648438 190.3125 L 18.292969 188.921875 L 18.960938 187.539062 L 19.648438 186.167969 L 20.355469 184.804688 L 21.082031 183.453125 L 21.828125 182.109375 L 22.59375 180.777344 L 23.375 179.453125 L 24.179688 178.144531 L 25 176.84375 L 25.839844 175.554688 L 26.699219 174.273438 L 27.578125 173.007812 L 28.472656 171.753906 L 29.382812 170.511719 L 30.316406 169.28125 L 31.261719 168.0625 L 32.230469 166.859375 L 33.210938 165.667969 L 34.210938 164.492188 L 35.226562 163.328125 L 36.261719 162.175781 L 37.308594 161.039062 L 38.375 159.917969 L 39.457031 158.808594 L 40.554688 157.714844 L 41.667969 156.636719 L 42.796875 155.574219 L 43.941406 154.527344 L 45.097656 153.496094 L 46.273438 152.476562 L 47.460938 151.476562 L 48.664062 150.492188 L 49.878906 149.523438 L 51.109375 148.570312 L 52.351562 147.636719 L 53.609375 146.71875 L 54.878906 145.816406 L 56.160156 144.933594 L 57.457031 144.066406 L 58.761719 143.214844 L 60.082031 142.382812 L 61.414062 141.570312 L 62.757812 140.773438 L 64.109375 139.996094 L 65.476562 139.238281 L 66.851562 138.496094 L 68.238281 137.773438 L 69.632812 137.070312 L 71.039062 136.386719 L 72.457031 135.71875 L 73.882812 135.074219 L 75.316406 134.445312 L 76.761719 133.839844 L 78.214844 133.25 L 79.675781 132.679688 L 81.144531 132.132812 L 82.621094 131.601562 L 84.101562 131.09375 L 85.59375 130.605469 L 87.089844 130.136719 L 88.597656 129.6875 L 90.105469 129.257812 L 91.625 128.847656 L 93.144531 128.460938 L 94.675781 128.09375 L 96.207031 127.746094 L 97.746094 127.421875 L 99.285156 127.117188 L 100.832031 126.832031 L 102.382812 126.566406 L 103.9375 126.324219 L 105.496094 126.101562 L 107.054688 125.902344 L 108.621094 125.722656 L 110.183594 125.5625 L 111.753906 125.425781 L 113.324219 125.308594 L 114.894531 125.214844 L 116.464844 125.140625 L 118.039062 125.085938 L 119.613281 125.054688 L 121.1875 125.042969 L 122.761719 125.054688 L 124.335938 125.085938 L 125.910156 125.140625 L 127.480469 125.214844 L 129.050781 125.308594 L 130.621094 125.425781 L 132.1875 125.5625 L 133.753906 125.722656 L 135.316406 125.902344 L 136.878906 126.101562 L 138.4375 126.324219 L 139.992188 126.566406 L 141.539062 126.832031 L 143.085938 127.117188 L 144.628906 127.421875 L 146.167969 127.746094 L 147.699219 128.09375 L 149.226562 128.460938 L 150.75 128.847656 L 152.265625 129.257812 L 153.777344 129.6875 L 155.28125 130.136719 L 156.78125 130.605469 L 158.269531 131.09375 L 159.753906 131.601562 L 161.230469 132.132812 L 162.699219 132.679688 L 164.160156 133.25 L 165.613281 133.839844 L 167.054688 134.445312 L 168.492188 135.074219 L 169.917969 135.71875 L 171.332031 136.386719 L 172.738281 137.070312 L 174.136719 137.773438 L 175.523438 138.496094 L 176.898438 139.238281 L 178.265625 139.996094 L 179.617188 140.773438 L 180.960938 141.570312 L 182.292969 142.382812 L 183.613281 143.214844 L 184.917969 144.066406 L 186.214844 144.933594 L 187.496094 145.816406 L 188.765625 146.71875 L 190.023438 147.636719 L 191.265625 148.570312 L 192.496094 149.523438 L 193.710938 150.492188 L 194.914062 151.476562 L 196.101562 152.476562 L 197.273438 153.496094 L 198.433594 154.527344 L 199.578125 155.574219 L 200.707031 156.636719 L 201.820312 157.714844 L 202.917969 158.808594 L 204 159.917969 L 205.0625 161.039062 L 206.113281 162.175781 L 207.148438 163.328125 L 208.164062 164.492188 L 209.164062 165.667969 L 210.144531 166.859375 L 211.109375 168.0625 L 212.058594 169.28125 L 212.988281 170.511719 L 213.902344 171.753906 L 214.796875 173.007812 L 215.675781 174.273438 L 216.53125 175.554688 L 217.375 176.84375 L 218.195312 178.144531 L 218.996094 179.453125 L 219.78125 180.777344 L 220.546875 182.109375 L 221.292969 183.453125 L 222.019531 184.804688 L 222.726562 186.167969 L 223.414062 187.539062 L 224.082031 188.921875 L 224.726562 190.3125 L 225.355469 191.710938 L 225.960938 193.117188 L 226.550781 194.53125 L 227.117188 195.953125 L 227.664062 197.382812 L 228.1875 198.820312 L 228.695312 200.265625 L 229.179688 201.714844 L 229.640625 203.171875 L 230.085938 204.636719 L 230.507812 206.105469 L 230.90625 207.582031 L 231.285156 209.0625 L 231.644531 210.546875 L 231.980469 212.035156 L 232.296875 213.53125 L 232.589844 215.027344 L 232.859375 216.53125 L 233.113281 218.035156 L 233.339844 219.542969 L 233.546875 221.054688 L 233.734375 222.570312 L 233.898438 224.085938 L 234.039062 225.605469 L 234.160156 227.125 L 234.257812 228.648438 L 234.335938 230.171875 L 234.390625 231.695312 L 234.421875 233.21875 L 234.433594 234.742188 L 234.421875 236.269531 L 234.390625 237.792969 L 234.335938 239.316406 L 234.257812 240.839844 L 234.160156 242.363281 L 234.039062 243.882812 L 233.898438 245.402344 L 233.734375 246.917969 L 233.546875 248.433594 L 233.339844 249.945312 L 233.113281 251.453125 L 232.859375 252.957031 L 232.589844 254.460938 L 232.296875 255.957031 L 231.980469 257.453125 L 231.644531 258.941406 L 231.285156 260.425781 L 230.90625 261.90625 L 230.507812 263.382812 L 230.085938 264.851562 L 229.640625 266.3125 L 229.179688 267.769531 L 228.695312 269.222656 L 228.1875 270.667969 L 227.664062 272.105469 L 227.117188 273.535156 L 226.550781 274.957031 L 225.960938 276.371094 L 225.355469 277.777344 L 224.726562 279.175781 L 224.082031 280.566406 L 223.414062 281.949219 L 222.726562 283.320312 L 222.019531 284.683594 L 221.292969 286.035156 L 220.546875 287.378906 L 219.78125 288.710938 L 218.996094 290.03125 L 218.195312 291.34375 L 217.375 292.644531 L 216.53125 293.933594 L 215.675781 295.214844 L 214.796875 296.480469 L 213.902344 297.734375 L 212.988281 298.976562 L 212.058594 300.207031 L 211.109375 301.421875 L 210.144531 302.628906 L 209.164062 303.820312 L 208.164062 304.996094 L 207.148438 306.160156 L 206.113281 307.3125 L 205.0625 308.449219 L 204 309.570312 L 202.917969 310.679688 L 201.820312 311.773438 L 200.707031 312.851562 L 199.578125 313.914062 L 198.433594 314.960938 L 197.273438 315.992188 L 196.101562 317.011719 L 194.914062 318.011719 L 193.710938 318.996094 L 192.496094 319.964844 L 191.265625 320.917969 L 190.023438 321.851562 L 188.765625 322.769531 L 187.496094 323.671875 L 186.214844 324.554688 L 184.917969 325.421875 L 183.613281 326.273438 L 182.292969 327.105469 L 180.960938 327.917969 L 179.617188 328.714844 L 178.265625 329.492188 L 176.898438 330.25 L 175.523438 330.992188 L 174.136719 331.714844 L 172.738281 332.417969 L 171.332031 333.101562 L 169.917969 333.769531 L 168.492188 334.414062 L 167.054688 335.042969 L 165.613281 335.648438 L 164.160156 336.238281 L 162.699219 336.808594 L 161.230469 337.355469 L 159.753906 337.886719 L 158.269531 338.394531 L 156.78125 338.882812 L 155.28125 339.351562 L 153.777344 339.800781 L 152.265625 340.230469 L 150.75 340.640625 L 149.226562 341.027344 L 147.699219 341.394531 L 146.167969 341.742188 L 144.628906 342.066406 L 143.085938 342.371094 L 141.539062 342.65625 L 139.992188 342.921875 L 138.4375 343.164062 L 136.878906 343.386719 L 135.316406 343.585938 L 133.753906 343.765625 L 132.1875 343.925781 L 130.621094 344.0625 L 129.050781 344.179688 L 127.480469 344.273438 L 125.910156 344.347656 L 124.335938 344.402344 L 122.761719 344.433594 L 121.1875 344.441406 L 119.613281 344.433594 L 118.039062 344.402344 L 116.464844 344.347656 L 114.894531 344.273438 L 113.324219 344.179688 L 111.753906 344.0625 L 110.183594 343.925781 L 108.621094 343.765625 L 107.054688 343.585938 L 105.496094 343.386719 L 103.9375 343.164062 L 102.382812 342.921875 L 100.832031 342.65625 L 99.285156 342.371094 L 97.746094 342.066406 L 96.207031 341.742188 L 94.675781 341.394531 L 93.144531 341.027344 L 91.625 340.640625 L 90.105469 340.230469 L 88.597656 339.800781 L 87.089844 339.351562 L 85.59375 338.882812 L 84.101562 338.394531 L 82.621094 337.886719 L 81.144531 337.355469 L 79.675781 336.808594 L 78.214844 336.238281 L 76.761719 335.648438 L 75.316406 335.042969 L 73.882812 334.414062 L 72.457031 333.769531 L 71.039062 333.101562 L 69.632812 332.417969 L 68.238281 331.714844 L 66.851562 330.992188 L 65.476562 330.25 L 64.109375 329.492188 L 62.757812 328.714844 L 61.414062 327.917969 L 60.082031 327.105469 L 58.761719 326.273438 L 57.457031 325.421875 L 56.160156 324.554688 L 54.878906 323.671875 L 53.609375 322.769531 L 52.351562 321.851562 L 51.109375 320.917969 L 49.878906 319.964844 L 48.664062 318.996094 L 47.460938 318.011719 L 46.273438 317.011719 L 45.097656 315.992188 L 43.941406 314.960938 L 42.796875 313.914062 L 41.667969 312.851562 L 40.554688 311.773438 L 39.457031 310.679688 L 38.375 309.570312 L 37.308594 308.449219 L 36.261719 307.3125 L 35.226562 306.160156 L 34.210938 304.996094 L 33.210938 303.820312 L 32.230469 302.628906 L 31.261719 301.421875 L 30.316406 300.207031 L 29.382812 298.976562 L 28.472656 297.734375 L 27.578125 296.480469 L 26.699219 295.214844 L 25.839844 293.933594 L 25 292.644531 L 24.179688 291.34375 L 23.375 290.03125 L 22.59375 288.710938 L 21.828125 287.378906 L 21.082031 286.035156 L 20.355469 284.683594 L 19.648438 283.320312 L 18.960938 281.949219 L 18.292969 280.566406 L 17.648438 279.175781 L 17.019531 277.777344 L 16.410156 276.371094 L 15.824219 274.957031 L 15.257812 273.535156 L 14.710938 272.105469 L 14.183594 270.667969 L 13.679688 269.222656 L 13.195312 267.769531 L 12.730469 266.3125 L 12.289062 264.851562 L 11.867188 263.382812 L 11.46875 261.90625 L 11.089844 260.425781 L 10.730469 258.941406 L 10.394531 257.453125 L 10.078125 255.957031 L 9.785156 254.460938 L 9.511719 252.957031 L 9.261719 251.453125 L 9.035156 249.945312 L 8.828125 248.433594 L 8.640625 246.917969 L 8.476562 245.402344 L 8.335938 243.882812 L 8.214844 242.363281 L 8.117188 240.839844 L 8.039062 239.316406 L 7.984375 237.792969 L 7.953125 236.269531 L 7.941406 234.742188 "/> +</g> +<mask id="mask-2"> +<use xlink:href="#compositing-group-3"/> +</mask> +<mask id="mask-3"> +<use xlink:href="#compositing-group-3" filter="url(#filter-remove-color-and-invert-alpha)"/> +</mask> +<g id="compositing-group-4" mask="url(#mask-2)"> +<g transform="translate(38.2671, 35.4325)"> +<rect x="-38.2671" y="-35.4325" width="459.2052" height="425.19" fill="rgb(100%, 50.196078%, 0%)" fill-opacity="1"/> +</g> +</g> +<g id="compositing-group-5" mask="url(#mask-3)"> +<g transform="translate(38.2671, 35.4325)"> +<g filter="url(#filter-0)" transform="translate(-38.2671, -35.4325)"> +<rect x="0" y="0" width="459.2052" height="425.19" fill="rgb(0%, 0%, 0%)" fill-opacity="1"/> +</g> +<path fill-rule="nonzero" fill="rgb(100%, 50.196078%, 0%)" fill-opacity="0.501961" d="M 7.941406 234.742188 L 7.953125 233.21875 L 7.984375 231.695312 L 8.039062 230.171875 L 8.117188 228.648438 L 8.214844 227.125 L 8.335938 225.605469 L 8.476562 224.085938 L 8.640625 222.570312 L 8.828125 221.054688 L 9.035156 219.542969 L 9.261719 218.035156 L 9.511719 216.53125 L 9.785156 215.027344 L 10.078125 213.53125 L 10.394531 212.035156 L 10.730469 210.546875 L 11.089844 209.0625 L 11.46875 207.582031 L 11.867188 206.105469 L 12.289062 204.636719 L 12.730469 203.171875 L 13.195312 201.714844 L 13.679688 200.265625 L 14.183594 198.820312 L 14.710938 197.382812 L 15.257812 195.953125 L 15.824219 194.53125 L 16.410156 193.117188 L 17.019531 191.710938 L 17.648438 190.3125 L 18.292969 188.921875 L 18.960938 187.539062 L 19.648438 186.167969 L 20.355469 184.804688 L 21.082031 183.453125 L 21.828125 182.109375 L 22.59375 180.777344 L 23.375 179.453125 L 24.179688 178.144531 L 25 176.84375 L 25.839844 175.554688 L 26.699219 174.273438 L 27.578125 173.007812 L 28.472656 171.753906 L 29.382812 170.511719 L 30.316406 169.28125 L 31.261719 168.0625 L 32.230469 166.859375 L 33.210938 165.667969 L 34.210938 164.492188 L 35.226562 163.328125 L 36.261719 162.175781 L 37.308594 161.039062 L 38.375 159.917969 L 39.457031 158.808594 L 40.554688 157.714844 L 41.667969 156.636719 L 42.796875 155.574219 L 43.941406 154.527344 L 45.097656 153.496094 L 46.273438 152.476562 L 47.460938 151.476562 L 48.664062 150.492188 L 49.878906 149.523438 L 51.109375 148.570312 L 52.351562 147.636719 L 53.609375 146.71875 L 54.878906 145.816406 L 56.160156 144.933594 L 57.457031 144.066406 L 58.761719 143.214844 L 60.082031 142.382812 L 61.414062 141.570312 L 62.757812 140.773438 L 64.109375 139.996094 L 65.476562 139.238281 L 66.851562 138.496094 L 68.238281 137.773438 L 69.632812 137.070312 L 71.039062 136.386719 L 72.457031 135.71875 L 73.882812 135.074219 L 75.316406 134.445312 L 76.761719 133.839844 L 78.214844 133.25 L 79.675781 132.679688 L 81.144531 132.132812 L 82.621094 131.601562 L 84.101562 131.09375 L 85.59375 130.605469 L 87.089844 130.136719 L 88.597656 129.6875 L 90.105469 129.257812 L 91.625 128.847656 L 93.144531 128.460938 L 94.675781 128.09375 L 96.207031 127.746094 L 97.746094 127.421875 L 99.285156 127.117188 L 100.832031 126.832031 L 102.382812 126.566406 L 103.9375 126.324219 L 105.496094 126.101562 L 107.054688 125.902344 L 108.621094 125.722656 L 110.183594 125.5625 L 111.753906 125.425781 L 113.324219 125.308594 L 114.894531 125.214844 L 116.464844 125.140625 L 118.039062 125.085938 L 119.613281 125.054688 L 121.1875 125.042969 L 122.761719 125.054688 L 124.335938 125.085938 L 125.910156 125.140625 L 127.480469 125.214844 L 129.050781 125.308594 L 130.621094 125.425781 L 132.1875 125.5625 L 133.753906 125.722656 L 135.316406 125.902344 L 136.878906 126.101562 L 138.4375 126.324219 L 139.992188 126.566406 L 141.539062 126.832031 L 143.085938 127.117188 L 144.628906 127.421875 L 146.167969 127.746094 L 147.699219 128.09375 L 149.226562 128.460938 L 150.75 128.847656 L 152.265625 129.257812 L 153.777344 129.6875 L 155.28125 130.136719 L 156.78125 130.605469 L 158.269531 131.09375 L 159.753906 131.601562 L 161.230469 132.132812 L 162.699219 132.679688 L 164.160156 133.25 L 165.613281 133.839844 L 167.054688 134.445312 L 168.492188 135.074219 L 169.917969 135.71875 L 171.332031 136.386719 L 172.738281 137.070312 L 174.136719 137.773438 L 175.523438 138.496094 L 176.898438 139.238281 L 178.265625 139.996094 L 179.617188 140.773438 L 180.960938 141.570312 L 182.292969 142.382812 L 183.613281 143.214844 L 184.917969 144.066406 L 186.214844 144.933594 L 187.496094 145.816406 L 188.765625 146.71875 L 190.023438 147.636719 L 191.265625 148.570312 L 192.496094 149.523438 L 193.710938 150.492188 L 194.914062 151.476562 L 196.101562 152.476562 L 197.273438 153.496094 L 198.433594 154.527344 L 199.578125 155.574219 L 200.707031 156.636719 L 201.820312 157.714844 L 202.917969 158.808594 L 204 159.917969 L 205.0625 161.039062 L 206.113281 162.175781 L 207.148438 163.328125 L 208.164062 164.492188 L 209.164062 165.667969 L 210.144531 166.859375 L 211.109375 168.0625 L 212.058594 169.28125 L 212.988281 170.511719 L 213.902344 171.753906 L 214.796875 173.007812 L 215.675781 174.273438 L 216.53125 175.554688 L 217.375 176.84375 L 218.195312 178.144531 L 218.996094 179.453125 L 219.78125 180.777344 L 220.546875 182.109375 L 221.292969 183.453125 L 222.019531 184.804688 L 222.726562 186.167969 L 223.414062 187.539062 L 224.082031 188.921875 L 224.726562 190.3125 L 225.355469 191.710938 L 225.960938 193.117188 L 226.550781 194.53125 L 227.117188 195.953125 L 227.664062 197.382812 L 228.1875 198.820312 L 228.695312 200.265625 L 229.179688 201.714844 L 229.640625 203.171875 L 230.085938 204.636719 L 230.507812 206.105469 L 230.90625 207.582031 L 231.285156 209.0625 L 231.644531 210.546875 L 231.980469 212.035156 L 232.296875 213.53125 L 232.589844 215.027344 L 232.859375 216.53125 L 233.113281 218.035156 L 233.339844 219.542969 L 233.546875 221.054688 L 233.734375 222.570312 L 233.898438 224.085938 L 234.039062 225.605469 L 234.160156 227.125 L 234.257812 228.648438 L 234.335938 230.171875 L 234.390625 231.695312 L 234.421875 233.21875 L 234.433594 234.742188 L 234.421875 236.269531 L 234.390625 237.792969 L 234.335938 239.316406 L 234.257812 240.839844 L 234.160156 242.363281 L 234.039062 243.882812 L 233.898438 245.402344 L 233.734375 246.917969 L 233.546875 248.433594 L 233.339844 249.945312 L 233.113281 251.453125 L 232.859375 252.957031 L 232.589844 254.460938 L 232.296875 255.957031 L 231.980469 257.453125 L 231.644531 258.941406 L 231.285156 260.425781 L 230.90625 261.90625 L 230.507812 263.382812 L 230.085938 264.851562 L 229.640625 266.3125 L 229.179688 267.769531 L 228.695312 269.222656 L 228.1875 270.667969 L 227.664062 272.105469 L 227.117188 273.535156 L 226.550781 274.957031 L 225.960938 276.371094 L 225.355469 277.777344 L 224.726562 279.175781 L 224.082031 280.566406 L 223.414062 281.949219 L 222.726562 283.320312 L 222.019531 284.683594 L 221.292969 286.035156 L 220.546875 287.378906 L 219.78125 288.710938 L 218.996094 290.03125 L 218.195312 291.34375 L 217.375 292.644531 L 216.53125 293.933594 L 215.675781 295.214844 L 214.796875 296.480469 L 213.902344 297.734375 L 212.988281 298.976562 L 212.058594 300.207031 L 211.109375 301.421875 L 210.144531 302.628906 L 209.164062 303.820312 L 208.164062 304.996094 L 207.148438 306.160156 L 206.113281 307.3125 L 205.0625 308.449219 L 204 309.570312 L 202.917969 310.679688 L 201.820312 311.773438 L 200.707031 312.851562 L 199.578125 313.914062 L 198.433594 314.960938 L 197.273438 315.992188 L 196.101562 317.011719 L 194.914062 318.011719 L 193.710938 318.996094 L 192.496094 319.964844 L 191.265625 320.917969 L 190.023438 321.851562 L 188.765625 322.769531 L 187.496094 323.671875 L 186.214844 324.554688 L 184.917969 325.421875 L 183.613281 326.273438 L 182.292969 327.105469 L 180.960938 327.917969 L 179.617188 328.714844 L 178.265625 329.492188 L 176.898438 330.25 L 175.523438 330.992188 L 174.136719 331.714844 L 172.738281 332.417969 L 171.332031 333.101562 L 169.917969 333.769531 L 168.492188 334.414062 L 167.054688 335.042969 L 165.613281 335.648438 L 164.160156 336.238281 L 162.699219 336.808594 L 161.230469 337.355469 L 159.753906 337.886719 L 158.269531 338.394531 L 156.78125 338.882812 L 155.28125 339.351562 L 153.777344 339.800781 L 152.265625 340.230469 L 150.75 340.640625 L 149.226562 341.027344 L 147.699219 341.394531 L 146.167969 341.742188 L 144.628906 342.066406 L 143.085938 342.371094 L 141.539062 342.65625 L 139.992188 342.921875 L 138.4375 343.164062 L 136.878906 343.386719 L 135.316406 343.585938 L 133.753906 343.765625 L 132.1875 343.925781 L 130.621094 344.0625 L 129.050781 344.179688 L 127.480469 344.273438 L 125.910156 344.347656 L 124.335938 344.402344 L 122.761719 344.433594 L 121.1875 344.441406 L 119.613281 344.433594 L 118.039062 344.402344 L 116.464844 344.347656 L 114.894531 344.273438 L 113.324219 344.179688 L 111.753906 344.0625 L 110.183594 343.925781 L 108.621094 343.765625 L 107.054688 343.585938 L 105.496094 343.386719 L 103.9375 343.164062 L 102.382812 342.921875 L 100.832031 342.65625 L 99.285156 342.371094 L 97.746094 342.066406 L 96.207031 341.742188 L 94.675781 341.394531 L 93.144531 341.027344 L 91.625 340.640625 L 90.105469 340.230469 L 88.597656 339.800781 L 87.089844 339.351562 L 85.59375 338.882812 L 84.101562 338.394531 L 82.621094 337.886719 L 81.144531 337.355469 L 79.675781 336.808594 L 78.214844 336.238281 L 76.761719 335.648438 L 75.316406 335.042969 L 73.882812 334.414062 L 72.457031 333.769531 L 71.039062 333.101562 L 69.632812 332.417969 L 68.238281 331.714844 L 66.851562 330.992188 L 65.476562 330.25 L 64.109375 329.492188 L 62.757812 328.714844 L 61.414062 327.917969 L 60.082031 327.105469 L 58.761719 326.273438 L 57.457031 325.421875 L 56.160156 324.554688 L 54.878906 323.671875 L 53.609375 322.769531 L 52.351562 321.851562 L 51.109375 320.917969 L 49.878906 319.964844 L 48.664062 318.996094 L 47.460938 318.011719 L 46.273438 317.011719 L 45.097656 315.992188 L 43.941406 314.960938 L 42.796875 313.914062 L 41.667969 312.851562 L 40.554688 311.773438 L 39.457031 310.679688 L 38.375 309.570312 L 37.308594 308.449219 L 36.261719 307.3125 L 35.226562 306.160156 L 34.210938 304.996094 L 33.210938 303.820312 L 32.230469 302.628906 L 31.261719 301.421875 L 30.316406 300.207031 L 29.382812 298.976562 L 28.472656 297.734375 L 27.578125 296.480469 L 26.699219 295.214844 L 25.839844 293.933594 L 25 292.644531 L 24.179688 291.34375 L 23.375 290.03125 L 22.59375 288.710938 L 21.828125 287.378906 L 21.082031 286.035156 L 20.355469 284.683594 L 19.648438 283.320312 L 18.960938 281.949219 L 18.292969 280.566406 L 17.648438 279.175781 L 17.019531 277.777344 L 16.410156 276.371094 L 15.824219 274.957031 L 15.257812 273.535156 L 14.710938 272.105469 L 14.183594 270.667969 L 13.679688 269.222656 L 13.195312 267.769531 L 12.730469 266.3125 L 12.289062 264.851562 L 11.867188 263.382812 L 11.46875 261.90625 L 11.089844 260.425781 L 10.730469 258.941406 L 10.394531 257.453125 L 10.078125 255.957031 L 9.785156 254.460938 L 9.511719 252.957031 L 9.261719 251.453125 L 9.035156 249.945312 L 8.828125 248.433594 L 8.640625 246.917969 L 8.476562 245.402344 L 8.335938 243.882812 L 8.214844 242.363281 L 8.117188 240.839844 L 8.039062 239.316406 L 7.984375 237.792969 L 7.953125 236.269531 L 7.941406 234.742188 "/> +</g> +</g> +<g id="compositing-group-6" transform="translate(38.2671, 35.4325)"> +<rect x="-38.2671" y="-35.4325" width="459.2052" height="425.19" fill="rgb(0%, 0%, 0%)" fill-opacity="0"/> +<path fill="none" stroke-width="2.26" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 150.707031 234.742188 L 150.71875 233.21875 L 150.75 231.695312 L 150.804688 230.171875 L 150.882812 228.648438 L 150.980469 227.125 L 151.101562 225.605469 L 151.242188 224.085938 L 151.40625 222.570312 L 151.59375 221.054688 L 151.800781 219.542969 L 152.027344 218.035156 L 152.277344 216.53125 L 152.550781 215.027344 L 152.84375 213.53125 L 153.160156 212.035156 L 153.496094 210.546875 L 153.855469 209.0625 L 154.234375 207.582031 L 154.632812 206.105469 L 155.054688 204.636719 L 155.496094 203.171875 L 155.960938 201.714844 L 156.445312 200.265625 L 156.949219 198.820312 L 157.476562 197.382812 L 158.023438 195.953125 L 158.589844 194.53125 L 159.175781 193.117188 L 159.785156 191.710938 L 160.414062 190.3125 L 161.058594 188.921875 L 161.726562 187.539062 L 162.414062 186.167969 L 163.121094 184.804688 L 163.847656 183.453125 L 164.59375 182.109375 L 165.359375 180.777344 L 166.140625 179.453125 L 166.945312 178.144531 L 167.765625 176.84375 L 168.605469 175.554688 L 169.464844 174.273438 L 170.34375 173.007812 L 171.238281 171.753906 L 172.148438 170.511719 L 173.082031 169.28125 L 174.027344 168.0625 L 174.996094 166.859375 L 175.976562 165.667969 L 176.976562 164.492188 L 177.992188 163.328125 L 179.027344 162.175781 L 180.074219 161.039062 L 181.140625 159.917969 L 182.222656 158.808594 L 183.320312 157.714844 L 184.433594 156.636719 L 185.5625 155.574219 L 186.707031 154.527344 L 187.863281 153.496094 L 189.039062 152.476562 L 190.226562 151.476562 L 191.429688 150.492188 L 192.644531 149.523438 L 193.875 148.570312 L 195.117188 147.636719 L 196.375 146.71875 L 197.644531 145.816406 L 198.925781 144.933594 L 200.222656 144.066406 L 201.527344 143.214844 L 202.847656 142.382812 L 204.179688 141.570312 L 205.523438 140.773438 L 206.875 139.996094 L 208.242188 139.238281 L 209.617188 138.496094 L 211.003906 137.773438 L 212.398438 137.070312 L 213.804688 136.386719 L 215.222656 135.71875 L 216.648438 135.074219 L 218.082031 134.445312 L 219.527344 133.839844 L 220.980469 133.25 L 222.441406 132.679688 L 223.910156 132.132812 L 225.386719 131.601562 L 226.867188 131.09375 L 228.359375 130.605469 L 229.855469 130.136719 L 231.363281 129.6875 L 232.871094 129.257812 L 234.390625 128.847656 L 235.910156 128.460938 L 237.441406 128.09375 L 238.972656 127.746094 L 240.511719 127.421875 L 242.050781 127.117188 L 243.597656 126.832031 L 245.148438 126.566406 L 246.703125 126.324219 L 248.261719 126.101562 L 249.820312 125.902344 L 251.386719 125.722656 L 252.949219 125.5625 L 254.519531 125.425781 L 256.089844 125.308594 L 257.660156 125.214844 L 259.230469 125.140625 L 260.804688 125.085938 L 262.378906 125.054688 L 263.953125 125.042969 L 265.527344 125.054688 L 267.101562 125.085938 L 268.675781 125.140625 L 270.246094 125.214844 L 271.816406 125.308594 L 273.386719 125.425781 L 274.953125 125.5625 L 276.519531 125.722656 L 278.082031 125.902344 L 279.644531 126.101562 L 281.203125 126.324219 L 282.757812 126.566406 L 284.304688 126.832031 L 285.851562 127.117188 L 287.394531 127.421875 L 288.933594 127.746094 L 290.464844 128.09375 L 291.992188 128.460938 L 293.515625 128.847656 L 295.03125 129.257812 L 296.542969 129.6875 L 298.046875 130.136719 L 299.546875 130.605469 L 301.035156 131.09375 L 302.519531 131.601562 L 303.996094 132.132812 L 305.464844 132.679688 L 306.925781 133.25 L 308.378906 133.839844 L 309.820312 134.445312 L 311.257812 135.074219 L 312.683594 135.71875 L 314.097656 136.386719 L 315.503906 137.070312 L 316.902344 137.773438 L 318.289062 138.496094 L 319.664062 139.238281 L 321.03125 139.996094 L 322.382812 140.773438 L 323.726562 141.570312 L 325.058594 142.382812 L 326.378906 143.214844 L 327.683594 144.066406 L 328.980469 144.933594 L 330.261719 145.816406 L 331.53125 146.71875 L 332.789062 147.636719 L 334.03125 148.570312 L 335.261719 149.523438 L 336.476562 150.492188 L 337.679688 151.476562 L 338.867188 152.476562 L 340.039062 153.496094 L 341.199219 154.527344 L 342.34375 155.574219 L 343.472656 156.636719 L 344.585938 157.714844 L 345.683594 158.808594 L 346.765625 159.917969 L 347.828125 161.039062 L 348.878906 162.175781 L 349.914062 163.328125 L 350.929688 164.492188 L 351.929688 165.667969 L 352.910156 166.859375 L 353.875 168.0625 L 354.824219 169.28125 L 355.753906 170.511719 L 356.667969 171.753906 L 357.5625 173.007812 L 358.441406 174.273438 L 359.296875 175.554688 L 360.140625 176.84375 L 360.960938 178.144531 L 361.761719 179.453125 L 362.546875 180.777344 L 363.3125 182.109375 L 364.058594 183.453125 L 364.785156 184.804688 L 365.492188 186.167969 L 366.179688 187.539062 L 366.847656 188.921875 L 367.492188 190.3125 L 368.121094 191.710938 L 368.726562 193.117188 L 369.316406 194.53125 L 369.882812 195.953125 L 370.429688 197.382812 L 370.953125 198.820312 L 371.460938 200.265625 L 371.945312 201.714844 L 372.40625 203.171875 L 372.851562 204.636719 L 373.273438 206.105469 L 373.671875 207.582031 L 374.050781 209.0625 L 374.410156 210.546875 L 374.746094 212.035156 L 375.0625 213.53125 L 375.355469 215.027344 L 375.625 216.53125 L 375.878906 218.035156 L 376.105469 219.542969 L 376.3125 221.054688 L 376.5 222.570312 L 376.664062 224.085938 L 376.804688 225.605469 L 376.925781 227.125 L 377.023438 228.648438 L 377.101562 230.171875 L 377.15625 231.695312 L 377.1875 233.21875 L 377.199219 234.742188 L 377.1875 236.269531 L 377.15625 237.792969 L 377.101562 239.316406 L 377.023438 240.839844 L 376.925781 242.363281 L 376.804688 243.882812 L 376.664062 245.402344 L 376.5 246.917969 L 376.3125 248.433594 L 376.105469 249.945312 L 375.878906 251.453125 L 375.625 252.957031 L 375.355469 254.460938 L 375.0625 255.957031 L 374.746094 257.453125 L 374.410156 258.941406 L 374.050781 260.425781 L 373.671875 261.90625 L 373.273438 263.382812 L 372.851562 264.851562 L 372.40625 266.3125 L 371.945312 267.769531 L 371.460938 269.222656 L 370.953125 270.667969 L 370.429688 272.105469 L 369.882812 273.535156 L 369.316406 274.957031 L 368.726562 276.371094 L 368.121094 277.777344 L 367.492188 279.175781 L 366.847656 280.566406 L 366.179688 281.949219 L 365.492188 283.320312 L 364.785156 284.683594 L 364.058594 286.035156 L 363.3125 287.378906 L 362.546875 288.710938 L 361.761719 290.03125 L 360.960938 291.34375 L 360.140625 292.644531 L 359.296875 293.933594 L 358.441406 295.214844 L 357.5625 296.480469 L 356.667969 297.734375 L 355.753906 298.976562 L 354.824219 300.207031 L 353.875 301.421875 L 352.910156 302.628906 L 351.929688 303.820312 L 350.929688 304.996094 L 349.914062 306.160156 L 348.878906 307.3125 L 347.828125 308.449219 L 346.765625 309.570312 L 345.683594 310.679688 L 344.585938 311.773438 L 343.472656 312.851562 L 342.34375 313.914062 L 341.199219 314.960938 L 340.039062 315.992188 L 338.867188 317.011719 L 337.679688 318.011719 L 336.476562 318.996094 L 335.261719 319.964844 L 334.03125 320.917969 L 332.789062 321.851562 L 331.53125 322.769531 L 330.261719 323.671875 L 328.980469 324.554688 L 327.683594 325.421875 L 326.378906 326.273438 L 325.058594 327.105469 L 323.726562 327.917969 L 322.382812 328.714844 L 321.03125 329.492188 L 319.664062 330.25 L 318.289062 330.992188 L 316.902344 331.714844 L 315.503906 332.417969 L 314.097656 333.101562 L 312.683594 333.769531 L 311.257812 334.414062 L 309.820312 335.042969 L 308.378906 335.648438 L 306.925781 336.238281 L 305.464844 336.808594 L 303.996094 337.355469 L 302.519531 337.886719 L 301.035156 338.394531 L 299.546875 338.882812 L 298.046875 339.351562 L 296.542969 339.800781 L 295.03125 340.230469 L 293.515625 340.640625 L 291.992188 341.027344 L 290.464844 341.394531 L 288.933594 341.742188 L 287.394531 342.066406 L 285.851562 342.371094 L 284.304688 342.65625 L 282.757812 342.921875 L 281.203125 343.164062 L 279.644531 343.386719 L 278.082031 343.585938 L 276.519531 343.765625 L 274.953125 343.925781 L 273.386719 344.0625 L 271.816406 344.179688 L 270.246094 344.273438 L 268.675781 344.347656 L 267.101562 344.402344 L 265.527344 344.433594 L 263.953125 344.441406 L 262.378906 344.433594 L 260.804688 344.402344 L 259.230469 344.347656 L 257.660156 344.273438 L 256.089844 344.179688 L 254.519531 344.0625 L 252.949219 343.925781 L 251.386719 343.765625 L 249.820312 343.585938 L 248.261719 343.386719 L 246.703125 343.164062 L 245.148438 342.921875 L 243.597656 342.65625 L 242.050781 342.371094 L 240.511719 342.066406 L 238.972656 341.742188 L 237.441406 341.394531 L 235.910156 341.027344 L 234.390625 340.640625 L 232.871094 340.230469 L 231.363281 339.800781 L 229.855469 339.351562 L 228.359375 338.882812 L 226.867188 338.394531 L 225.386719 337.886719 L 223.910156 337.355469 L 222.441406 336.808594 L 220.980469 336.238281 L 219.527344 335.648438 L 218.082031 335.042969 L 216.648438 334.414062 L 215.222656 333.769531 L 213.804688 333.101562 L 212.398438 332.417969 L 211.003906 331.714844 L 209.617188 330.992188 L 208.242188 330.25 L 206.875 329.492188 L 205.523438 328.714844 L 204.179688 327.917969 L 202.847656 327.105469 L 201.527344 326.273438 L 200.222656 325.421875 L 198.925781 324.554688 L 197.644531 323.671875 L 196.375 322.769531 L 195.117188 321.851562 L 193.875 320.917969 L 192.644531 319.964844 L 191.429688 318.996094 L 190.226562 318.011719 L 189.039062 317.011719 L 187.863281 315.992188 L 186.707031 314.960938 L 185.5625 313.914062 L 184.433594 312.851562 L 183.320312 311.773438 L 182.222656 310.679688 L 181.140625 309.570312 L 180.074219 308.449219 L 179.027344 307.3125 L 177.992188 306.160156 L 176.976562 304.996094 L 175.976562 303.820312 L 174.996094 302.628906 L 174.027344 301.421875 L 173.082031 300.207031 L 172.148438 298.976562 L 171.238281 297.734375 L 170.34375 296.480469 L 169.464844 295.214844 L 168.605469 293.933594 L 167.765625 292.644531 L 166.945312 291.34375 L 166.140625 290.03125 L 165.359375 288.710938 L 164.59375 287.378906 L 163.847656 286.035156 L 163.121094 284.683594 L 162.414062 283.320312 L 161.726562 281.949219 L 161.058594 280.566406 L 160.414062 279.175781 L 159.785156 277.777344 L 159.175781 276.371094 L 158.589844 274.957031 L 158.023438 273.535156 L 157.476562 272.105469 L 156.949219 270.667969 L 156.445312 269.222656 L 155.960938 267.769531 L 155.496094 266.3125 L 155.054688 264.851562 L 154.632812 263.382812 L 154.234375 261.90625 L 153.855469 260.425781 L 153.496094 258.941406 L 153.160156 257.453125 L 152.84375 255.957031 L 152.550781 254.460938 L 152.277344 252.957031 L 152.027344 251.453125 L 151.800781 249.945312 L 151.59375 248.433594 L 151.40625 246.917969 L 151.242188 245.402344 L 151.101562 243.882812 L 150.980469 242.363281 L 150.882812 240.839844 L 150.804688 239.316406 L 150.75 237.792969 L 150.71875 236.269531 L 150.707031 234.742188 "/> +</g> +<mask id="mask-4"> +<use xlink:href="#compositing-group-6"/> +</mask> +<mask id="mask-5"> +<use xlink:href="#compositing-group-6" filter="url(#filter-remove-color-and-invert-alpha)"/> +</mask> +<g id="compositing-group-7" mask="url(#mask-4)"> +<g transform="translate(38.2671, 35.4325)"> +<rect x="-38.2671" y="-35.4325" width="459.2052" height="425.19" fill="rgb(50.196078%, 50.196078%, 50.196078%)" fill-opacity="1"/> +</g> +</g> +<g id="compositing-group-8" mask="url(#mask-5)"> +<g transform="translate(38.2671, 35.4325)"> +<g filter="url(#filter-1)" transform="translate(-38.2671, -35.4325)"> +<rect x="0" y="0" width="459.2052" height="425.19" fill="rgb(0%, 0%, 0%)" fill-opacity="1"/> +</g> +<path fill-rule="nonzero" fill="rgb(50.196078%, 50.196078%, 50.196078%)" fill-opacity="0.501961" d="M 150.707031 234.742188 L 150.71875 233.21875 L 150.75 231.695312 L 150.804688 230.171875 L 150.882812 228.648438 L 150.980469 227.125 L 151.101562 225.605469 L 151.242188 224.085938 L 151.40625 222.570312 L 151.59375 221.054688 L 151.800781 219.542969 L 152.027344 218.035156 L 152.277344 216.53125 L 152.550781 215.027344 L 152.84375 213.53125 L 153.160156 212.035156 L 153.496094 210.546875 L 153.855469 209.0625 L 154.234375 207.582031 L 154.632812 206.105469 L 155.054688 204.636719 L 155.496094 203.171875 L 155.960938 201.714844 L 156.445312 200.265625 L 156.949219 198.820312 L 157.476562 197.382812 L 158.023438 195.953125 L 158.589844 194.53125 L 159.175781 193.117188 L 159.785156 191.710938 L 160.414062 190.3125 L 161.058594 188.921875 L 161.726562 187.539062 L 162.414062 186.167969 L 163.121094 184.804688 L 163.847656 183.453125 L 164.59375 182.109375 L 165.359375 180.777344 L 166.140625 179.453125 L 166.945312 178.144531 L 167.765625 176.84375 L 168.605469 175.554688 L 169.464844 174.273438 L 170.34375 173.007812 L 171.238281 171.753906 L 172.148438 170.511719 L 173.082031 169.28125 L 174.027344 168.0625 L 174.996094 166.859375 L 175.976562 165.667969 L 176.976562 164.492188 L 177.992188 163.328125 L 179.027344 162.175781 L 180.074219 161.039062 L 181.140625 159.917969 L 182.222656 158.808594 L 183.320312 157.714844 L 184.433594 156.636719 L 185.5625 155.574219 L 186.707031 154.527344 L 187.863281 153.496094 L 189.039062 152.476562 L 190.226562 151.476562 L 191.429688 150.492188 L 192.644531 149.523438 L 193.875 148.570312 L 195.117188 147.636719 L 196.375 146.71875 L 197.644531 145.816406 L 198.925781 144.933594 L 200.222656 144.066406 L 201.527344 143.214844 L 202.847656 142.382812 L 204.179688 141.570312 L 205.523438 140.773438 L 206.875 139.996094 L 208.242188 139.238281 L 209.617188 138.496094 L 211.003906 137.773438 L 212.398438 137.070312 L 213.804688 136.386719 L 215.222656 135.71875 L 216.648438 135.074219 L 218.082031 134.445312 L 219.527344 133.839844 L 220.980469 133.25 L 222.441406 132.679688 L 223.910156 132.132812 L 225.386719 131.601562 L 226.867188 131.09375 L 228.359375 130.605469 L 229.855469 130.136719 L 231.363281 129.6875 L 232.871094 129.257812 L 234.390625 128.847656 L 235.910156 128.460938 L 237.441406 128.09375 L 238.972656 127.746094 L 240.511719 127.421875 L 242.050781 127.117188 L 243.597656 126.832031 L 245.148438 126.566406 L 246.703125 126.324219 L 248.261719 126.101562 L 249.820312 125.902344 L 251.386719 125.722656 L 252.949219 125.5625 L 254.519531 125.425781 L 256.089844 125.308594 L 257.660156 125.214844 L 259.230469 125.140625 L 260.804688 125.085938 L 262.378906 125.054688 L 263.953125 125.042969 L 265.527344 125.054688 L 267.101562 125.085938 L 268.675781 125.140625 L 270.246094 125.214844 L 271.816406 125.308594 L 273.386719 125.425781 L 274.953125 125.5625 L 276.519531 125.722656 L 278.082031 125.902344 L 279.644531 126.101562 L 281.203125 126.324219 L 282.757812 126.566406 L 284.304688 126.832031 L 285.851562 127.117188 L 287.394531 127.421875 L 288.933594 127.746094 L 290.464844 128.09375 L 291.992188 128.460938 L 293.515625 128.847656 L 295.03125 129.257812 L 296.542969 129.6875 L 298.046875 130.136719 L 299.546875 130.605469 L 301.035156 131.09375 L 302.519531 131.601562 L 303.996094 132.132812 L 305.464844 132.679688 L 306.925781 133.25 L 308.378906 133.839844 L 309.820312 134.445312 L 311.257812 135.074219 L 312.683594 135.71875 L 314.097656 136.386719 L 315.503906 137.070312 L 316.902344 137.773438 L 318.289062 138.496094 L 319.664062 139.238281 L 321.03125 139.996094 L 322.382812 140.773438 L 323.726562 141.570312 L 325.058594 142.382812 L 326.378906 143.214844 L 327.683594 144.066406 L 328.980469 144.933594 L 330.261719 145.816406 L 331.53125 146.71875 L 332.789062 147.636719 L 334.03125 148.570312 L 335.261719 149.523438 L 336.476562 150.492188 L 337.679688 151.476562 L 338.867188 152.476562 L 340.039062 153.496094 L 341.199219 154.527344 L 342.34375 155.574219 L 343.472656 156.636719 L 344.585938 157.714844 L 345.683594 158.808594 L 346.765625 159.917969 L 347.828125 161.039062 L 348.878906 162.175781 L 349.914062 163.328125 L 350.929688 164.492188 L 351.929688 165.667969 L 352.910156 166.859375 L 353.875 168.0625 L 354.824219 169.28125 L 355.753906 170.511719 L 356.667969 171.753906 L 357.5625 173.007812 L 358.441406 174.273438 L 359.296875 175.554688 L 360.140625 176.84375 L 360.960938 178.144531 L 361.761719 179.453125 L 362.546875 180.777344 L 363.3125 182.109375 L 364.058594 183.453125 L 364.785156 184.804688 L 365.492188 186.167969 L 366.179688 187.539062 L 366.847656 188.921875 L 367.492188 190.3125 L 368.121094 191.710938 L 368.726562 193.117188 L 369.316406 194.53125 L 369.882812 195.953125 L 370.429688 197.382812 L 370.953125 198.820312 L 371.460938 200.265625 L 371.945312 201.714844 L 372.40625 203.171875 L 372.851562 204.636719 L 373.273438 206.105469 L 373.671875 207.582031 L 374.050781 209.0625 L 374.410156 210.546875 L 374.746094 212.035156 L 375.0625 213.53125 L 375.355469 215.027344 L 375.625 216.53125 L 375.878906 218.035156 L 376.105469 219.542969 L 376.3125 221.054688 L 376.5 222.570312 L 376.664062 224.085938 L 376.804688 225.605469 L 376.925781 227.125 L 377.023438 228.648438 L 377.101562 230.171875 L 377.15625 231.695312 L 377.1875 233.21875 L 377.199219 234.742188 L 377.1875 236.269531 L 377.15625 237.792969 L 377.101562 239.316406 L 377.023438 240.839844 L 376.925781 242.363281 L 376.804688 243.882812 L 376.664062 245.402344 L 376.5 246.917969 L 376.3125 248.433594 L 376.105469 249.945312 L 375.878906 251.453125 L 375.625 252.957031 L 375.355469 254.460938 L 375.0625 255.957031 L 374.746094 257.453125 L 374.410156 258.941406 L 374.050781 260.425781 L 373.671875 261.90625 L 373.273438 263.382812 L 372.851562 264.851562 L 372.40625 266.3125 L 371.945312 267.769531 L 371.460938 269.222656 L 370.953125 270.667969 L 370.429688 272.105469 L 369.882812 273.535156 L 369.316406 274.957031 L 368.726562 276.371094 L 368.121094 277.777344 L 367.492188 279.175781 L 366.847656 280.566406 L 366.179688 281.949219 L 365.492188 283.320312 L 364.785156 284.683594 L 364.058594 286.035156 L 363.3125 287.378906 L 362.546875 288.710938 L 361.761719 290.03125 L 360.960938 291.34375 L 360.140625 292.644531 L 359.296875 293.933594 L 358.441406 295.214844 L 357.5625 296.480469 L 356.667969 297.734375 L 355.753906 298.976562 L 354.824219 300.207031 L 353.875 301.421875 L 352.910156 302.628906 L 351.929688 303.820312 L 350.929688 304.996094 L 349.914062 306.160156 L 348.878906 307.3125 L 347.828125 308.449219 L 346.765625 309.570312 L 345.683594 310.679688 L 344.585938 311.773438 L 343.472656 312.851562 L 342.34375 313.914062 L 341.199219 314.960938 L 340.039062 315.992188 L 338.867188 317.011719 L 337.679688 318.011719 L 336.476562 318.996094 L 335.261719 319.964844 L 334.03125 320.917969 L 332.789062 321.851562 L 331.53125 322.769531 L 330.261719 323.671875 L 328.980469 324.554688 L 327.683594 325.421875 L 326.378906 326.273438 L 325.058594 327.105469 L 323.726562 327.917969 L 322.382812 328.714844 L 321.03125 329.492188 L 319.664062 330.25 L 318.289062 330.992188 L 316.902344 331.714844 L 315.503906 332.417969 L 314.097656 333.101562 L 312.683594 333.769531 L 311.257812 334.414062 L 309.820312 335.042969 L 308.378906 335.648438 L 306.925781 336.238281 L 305.464844 336.808594 L 303.996094 337.355469 L 302.519531 337.886719 L 301.035156 338.394531 L 299.546875 338.882812 L 298.046875 339.351562 L 296.542969 339.800781 L 295.03125 340.230469 L 293.515625 340.640625 L 291.992188 341.027344 L 290.464844 341.394531 L 288.933594 341.742188 L 287.394531 342.066406 L 285.851562 342.371094 L 284.304688 342.65625 L 282.757812 342.921875 L 281.203125 343.164062 L 279.644531 343.386719 L 278.082031 343.585938 L 276.519531 343.765625 L 274.953125 343.925781 L 273.386719 344.0625 L 271.816406 344.179688 L 270.246094 344.273438 L 268.675781 344.347656 L 267.101562 344.402344 L 265.527344 344.433594 L 263.953125 344.441406 L 262.378906 344.433594 L 260.804688 344.402344 L 259.230469 344.347656 L 257.660156 344.273438 L 256.089844 344.179688 L 254.519531 344.0625 L 252.949219 343.925781 L 251.386719 343.765625 L 249.820312 343.585938 L 248.261719 343.386719 L 246.703125 343.164062 L 245.148438 342.921875 L 243.597656 342.65625 L 242.050781 342.371094 L 240.511719 342.066406 L 238.972656 341.742188 L 237.441406 341.394531 L 235.910156 341.027344 L 234.390625 340.640625 L 232.871094 340.230469 L 231.363281 339.800781 L 229.855469 339.351562 L 228.359375 338.882812 L 226.867188 338.394531 L 225.386719 337.886719 L 223.910156 337.355469 L 222.441406 336.808594 L 220.980469 336.238281 L 219.527344 335.648438 L 218.082031 335.042969 L 216.648438 334.414062 L 215.222656 333.769531 L 213.804688 333.101562 L 212.398438 332.417969 L 211.003906 331.714844 L 209.617188 330.992188 L 208.242188 330.25 L 206.875 329.492188 L 205.523438 328.714844 L 204.179688 327.917969 L 202.847656 327.105469 L 201.527344 326.273438 L 200.222656 325.421875 L 198.925781 324.554688 L 197.644531 323.671875 L 196.375 322.769531 L 195.117188 321.851562 L 193.875 320.917969 L 192.644531 319.964844 L 191.429688 318.996094 L 190.226562 318.011719 L 189.039062 317.011719 L 187.863281 315.992188 L 186.707031 314.960938 L 185.5625 313.914062 L 184.433594 312.851562 L 183.320312 311.773438 L 182.222656 310.679688 L 181.140625 309.570312 L 180.074219 308.449219 L 179.027344 307.3125 L 177.992188 306.160156 L 176.976562 304.996094 L 175.976562 303.820312 L 174.996094 302.628906 L 174.027344 301.421875 L 173.082031 300.207031 L 172.148438 298.976562 L 171.238281 297.734375 L 170.34375 296.480469 L 169.464844 295.214844 L 168.605469 293.933594 L 167.765625 292.644531 L 166.945312 291.34375 L 166.140625 290.03125 L 165.359375 288.710938 L 164.59375 287.378906 L 163.847656 286.035156 L 163.121094 284.683594 L 162.414062 283.320312 L 161.726562 281.949219 L 161.058594 280.566406 L 160.414062 279.175781 L 159.785156 277.777344 L 159.175781 276.371094 L 158.589844 274.957031 L 158.023438 273.535156 L 157.476562 272.105469 L 156.949219 270.667969 L 156.445312 269.222656 L 155.960938 267.769531 L 155.496094 266.3125 L 155.054688 264.851562 L 154.632812 263.382812 L 154.234375 261.90625 L 153.855469 260.425781 L 153.496094 258.941406 L 153.160156 257.453125 L 152.84375 255.957031 L 152.550781 254.460938 L 152.277344 252.957031 L 152.027344 251.453125 L 151.800781 249.945312 L 151.59375 248.433594 L 151.40625 246.917969 L 151.242188 245.402344 L 151.101562 243.882812 L 150.980469 242.363281 L 150.882812 240.839844 L 150.804688 239.316406 L 150.75 237.792969 L 150.71875 236.269531 L 150.707031 234.742188 "/> +</g> +</g> +<g id="compositing-group-9" transform="translate(38.2671, 35.4325)"> +<rect x="-38.2671" y="-35.4325" width="459.2052" height="425.19" fill="rgb(0%, 0%, 0%)" fill-opacity="0"/> +<path fill="none" stroke-width="2.26" stroke-linecap="round" stroke-linejoin="round" stroke="rgb(100%, 100%, 100%)" stroke-opacity="1" stroke-miterlimit="10" d="M 72.238281 125.679688 L 72.25 124.15625 L 72.28125 122.632812 L 72.335938 121.109375 L 72.414062 119.585938 L 72.511719 118.0625 L 72.632812 116.542969 L 72.773438 115.023438 L 72.9375 113.507812 L 73.125 111.992188 L 73.332031 110.480469 L 73.558594 108.972656 L 73.8125 107.46875 L 74.082031 105.964844 L 74.375 104.46875 L 74.691406 102.972656 L 75.027344 101.484375 L 75.386719 100 L 75.765625 98.519531 L 76.167969 97.042969 L 76.585938 95.574219 L 77.03125 94.109375 L 77.492188 92.652344 L 77.976562 91.203125 L 78.484375 89.757812 L 79.007812 88.320312 L 79.554688 86.890625 L 80.121094 85.46875 L 80.710938 84.054688 L 81.316406 82.648438 L 81.945312 81.25 L 82.59375 79.859375 L 83.257812 78.476562 L 83.945312 77.105469 L 84.652344 75.742188 L 85.378906 74.390625 L 86.125 73.046875 L 86.890625 71.714844 L 87.675781 70.390625 L 88.476562 69.082031 L 89.300781 67.78125 L 90.140625 66.488281 L 90.996094 65.210938 L 91.875 63.945312 L 92.769531 62.691406 L 93.683594 61.449219 L 94.613281 60.21875 L 95.5625 59 L 96.527344 57.796875 L 97.507812 56.605469 L 98.507812 55.429688 L 99.527344 54.261719 L 100.558594 53.113281 L 101.609375 51.976562 L 102.675781 50.855469 L 103.753906 49.746094 L 104.851562 48.652344 L 105.964844 47.574219 L 107.09375 46.511719 L 108.238281 45.464844 L 109.398438 44.429688 L 110.570312 43.414062 L 111.757812 42.414062 L 112.960938 41.429688 L 114.175781 40.460938 L 115.40625 39.507812 L 116.648438 38.574219 L 117.90625 37.65625 L 119.175781 36.753906 L 120.457031 35.871094 L 121.753906 35.003906 L 123.0625 34.152344 L 124.378906 33.320312 L 125.710938 32.507812 L 127.054688 31.710938 L 128.410156 30.933594 L 129.773438 30.175781 L 131.148438 29.433594 L 132.535156 28.710938 L 133.933594 28.007812 L 135.339844 27.324219 L 136.753906 26.65625 L 138.179688 26.011719 L 139.617188 25.382812 L 141.058594 24.777344 L 142.511719 24.1875 L 143.972656 23.617188 L 145.441406 23.070312 L 146.917969 22.539062 L 148.402344 22.03125 L 149.890625 21.542969 L 151.390625 21.070312 L 152.894531 20.625 L 154.40625 20.195312 L 155.921875 19.785156 L 157.445312 19.398438 L 158.972656 19.03125 L 160.503906 18.683594 L 162.042969 18.359375 L 163.585938 18.054688 L 165.132812 17.769531 L 166.683594 17.503906 L 168.234375 17.261719 L 169.792969 17.039062 L 171.355469 16.839844 L 172.917969 16.660156 L 174.484375 16.5 L 176.050781 16.363281 L 177.621094 16.246094 L 179.191406 16.152344 L 180.765625 16.078125 L 182.335938 16.023438 L 183.910156 15.992188 L 185.484375 15.980469 L 187.058594 15.992188 L 188.632812 16.023438 L 190.207031 16.078125 L 191.777344 16.152344 L 193.351562 16.246094 L 194.917969 16.363281 L 196.488281 16.5 L 198.054688 16.660156 L 199.617188 16.839844 L 201.175781 17.039062 L 202.734375 17.261719 L 204.289062 17.503906 L 205.839844 17.769531 L 207.386719 18.054688 L 208.925781 18.359375 L 210.464844 18.683594 L 212 19.03125 L 213.527344 19.398438 L 215.046875 19.785156 L 216.566406 20.195312 L 218.074219 20.625 L 219.582031 21.070312 L 221.078125 21.542969 L 222.570312 22.03125 L 224.054688 22.539062 L 225.53125 23.070312 L 226.996094 23.617188 L 228.457031 24.1875 L 229.910156 24.777344 L 231.355469 25.382812 L 232.789062 26.011719 L 234.214844 26.65625 L 235.632812 27.324219 L 237.039062 28.007812 L 238.433594 28.710938 L 239.820312 29.433594 L 241.195312 30.175781 L 242.5625 30.933594 L 243.914062 31.710938 L 245.257812 32.507812 L 246.589844 33.320312 L 247.910156 34.152344 L 249.214844 35.003906 L 250.511719 35.871094 L 251.792969 36.753906 L 253.0625 37.65625 L 254.320312 38.574219 L 255.5625 39.507812 L 256.792969 40.460938 L 258.007812 41.429688 L 259.210938 42.414062 L 260.398438 43.414062 L 261.574219 44.429688 L 262.730469 45.464844 L 263.875 46.511719 L 265.003906 47.574219 L 266.117188 48.652344 L 267.214844 49.746094 L 268.296875 50.855469 L 269.363281 51.976562 L 270.410156 53.113281 L 271.445312 54.261719 L 272.460938 55.429688 L 273.460938 56.605469 L 274.441406 57.796875 L 275.410156 59 L 276.355469 60.21875 L 277.289062 61.449219 L 278.199219 62.691406 L 279.09375 63.945312 L 279.972656 65.210938 L 280.832031 66.488281 L 281.671875 67.78125 L 282.492188 69.082031 L 283.296875 70.390625 L 284.078125 71.714844 L 284.84375 73.046875 L 285.589844 74.390625 L 286.316406 75.742188 L 287.023438 77.105469 L 287.710938 78.476562 L 288.378906 79.859375 L 289.027344 81.25 L 289.652344 82.648438 L 290.261719 84.054688 L 290.847656 85.46875 L 291.414062 86.890625 L 291.960938 88.320312 L 292.488281 89.757812 L 292.992188 91.203125 L 293.476562 92.652344 L 293.941406 94.109375 L 294.382812 95.574219 L 294.804688 97.042969 L 295.203125 98.519531 L 295.582031 100 L 295.941406 101.484375 L 296.277344 102.972656 L 296.59375 104.46875 L 296.886719 105.964844 L 297.160156 107.46875 L 297.410156 108.972656 L 297.636719 110.480469 L 297.847656 111.992188 L 298.03125 113.507812 L 298.195312 115.023438 L 298.335938 116.542969 L 298.457031 118.0625 L 298.554688 119.585938 L 298.632812 121.109375 L 298.6875 122.632812 L 298.71875 124.15625 L 298.730469 125.679688 L 298.71875 127.207031 L 298.6875 128.730469 L 298.632812 130.253906 L 298.554688 131.777344 L 298.457031 133.300781 L 298.335938 134.820312 L 298.195312 136.339844 L 298.03125 137.855469 L 297.847656 139.371094 L 297.636719 140.882812 L 297.410156 142.390625 L 297.160156 143.894531 L 296.886719 145.398438 L 296.59375 146.894531 L 296.277344 148.390625 L 295.941406 149.878906 L 295.582031 151.363281 L 295.203125 152.84375 L 294.804688 154.320312 L 294.382812 155.789062 L 293.941406 157.25 L 293.476562 158.707031 L 292.992188 160.160156 L 292.488281 161.605469 L 291.960938 163.042969 L 291.414062 164.472656 L 290.847656 165.894531 L 290.261719 167.308594 L 289.652344 168.714844 L 289.027344 170.113281 L 288.378906 171.503906 L 287.710938 172.886719 L 287.023438 174.257812 L 286.316406 175.621094 L 285.589844 176.972656 L 284.84375 178.316406 L 284.078125 179.648438 L 283.296875 180.96875 L 282.492188 182.28125 L 281.671875 183.582031 L 280.832031 184.871094 L 279.972656 186.152344 L 279.09375 187.417969 L 278.199219 188.671875 L 277.289062 189.914062 L 276.355469 191.144531 L 275.410156 192.359375 L 274.441406 193.566406 L 273.460938 194.757812 L 272.460938 195.933594 L 271.445312 197.097656 L 270.410156 198.25 L 269.363281 199.386719 L 268.296875 200.507812 L 267.214844 201.617188 L 266.117188 202.710938 L 265.003906 203.789062 L 263.875 204.851562 L 262.730469 205.898438 L 261.574219 206.929688 L 260.398438 207.949219 L 259.210938 208.949219 L 258.007812 209.933594 L 256.792969 210.902344 L 255.5625 211.851562 L 254.320312 212.789062 L 253.0625 213.707031 L 251.792969 214.609375 L 250.511719 215.492188 L 249.214844 216.359375 L 247.910156 217.210938 L 246.589844 218.039062 L 245.257812 218.855469 L 243.914062 219.652344 L 242.5625 220.429688 L 241.195312 221.1875 L 239.820312 221.929688 L 238.433594 222.652344 L 237.039062 223.355469 L 235.632812 224.039062 L 234.214844 224.703125 L 232.789062 225.351562 L 231.355469 225.980469 L 229.910156 226.585938 L 228.457031 227.175781 L 226.996094 227.742188 L 225.53125 228.292969 L 224.054688 228.824219 L 222.570312 229.332031 L 221.078125 229.820312 L 219.582031 230.289062 L 218.074219 230.738281 L 216.566406 231.167969 L 215.046875 231.578125 L 213.527344 231.964844 L 212 232.332031 L 210.464844 232.679688 L 208.925781 233.003906 L 207.386719 233.308594 L 205.839844 233.59375 L 204.289062 233.859375 L 202.734375 234.101562 L 201.175781 234.320312 L 199.617188 234.523438 L 198.054688 234.703125 L 196.488281 234.863281 L 194.917969 235 L 193.351562 235.117188 L 191.777344 235.210938 L 190.207031 235.285156 L 188.632812 235.339844 L 187.058594 235.371094 L 185.484375 235.378906 L 183.910156 235.371094 L 182.335938 235.339844 L 180.765625 235.285156 L 179.191406 235.210938 L 177.621094 235.117188 L 176.050781 235 L 174.484375 234.863281 L 172.917969 234.703125 L 171.355469 234.523438 L 169.792969 234.320312 L 168.234375 234.101562 L 166.683594 233.859375 L 165.132812 233.59375 L 163.585938 233.308594 L 162.042969 233.003906 L 160.503906 232.679688 L 158.972656 232.332031 L 157.445312 231.964844 L 155.921875 231.578125 L 154.40625 231.167969 L 152.894531 230.738281 L 151.390625 230.289062 L 149.890625 229.820312 L 148.402344 229.332031 L 146.917969 228.824219 L 145.441406 228.292969 L 143.972656 227.742188 L 142.511719 227.175781 L 141.058594 226.585938 L 139.617188 225.980469 L 138.179688 225.351562 L 136.753906 224.703125 L 135.339844 224.039062 L 133.933594 223.355469 L 132.535156 222.652344 L 131.148438 221.929688 L 129.773438 221.1875 L 128.410156 220.429688 L 127.054688 219.652344 L 125.710938 218.855469 L 124.378906 218.039062 L 123.0625 217.210938 L 121.753906 216.359375 L 120.457031 215.492188 L 119.175781 214.609375 L 117.90625 213.707031 L 116.648438 212.789062 L 115.40625 211.851562 L 114.175781 210.902344 L 112.960938 209.933594 L 111.757812 208.949219 L 110.570312 207.949219 L 109.398438 206.929688 L 108.238281 205.898438 L 107.09375 204.851562 L 105.964844 203.789062 L 104.851562 202.710938 L 103.753906 201.617188 L 102.675781 200.507812 L 101.609375 199.386719 L 100.558594 198.25 L 99.527344 197.097656 L 98.507812 195.933594 L 97.507812 194.757812 L 96.527344 193.566406 L 95.5625 192.359375 L 94.613281 191.144531 L 93.683594 189.914062 L 92.769531 188.671875 L 91.875 187.417969 L 90.996094 186.152344 L 90.140625 184.871094 L 89.300781 183.582031 L 88.476562 182.28125 L 87.675781 180.96875 L 86.890625 179.648438 L 86.125 178.316406 L 85.378906 176.972656 L 84.652344 175.621094 L 83.945312 174.257812 L 83.257812 172.886719 L 82.59375 171.503906 L 81.945312 170.113281 L 81.316406 168.714844 L 80.710938 167.308594 L 80.121094 165.894531 L 79.554688 164.472656 L 79.007812 163.042969 L 78.484375 161.605469 L 77.976562 160.160156 L 77.492188 158.707031 L 77.03125 157.25 L 76.585938 155.789062 L 76.167969 154.320312 L 75.765625 152.84375 L 75.386719 151.363281 L 75.027344 149.878906 L 74.691406 148.390625 L 74.375 146.894531 L 74.082031 145.398438 L 73.8125 143.894531 L 73.558594 142.390625 L 73.332031 140.882812 L 73.125 139.371094 L 72.9375 137.855469 L 72.773438 136.339844 L 72.632812 134.820312 L 72.511719 133.300781 L 72.414062 131.777344 L 72.335938 130.253906 L 72.28125 128.730469 L 72.25 127.207031 L 72.238281 125.679688 "/> +</g> +<mask id="mask-6"> +<use xlink:href="#compositing-group-9"/> +</mask> +<mask id="mask-7"> +<use xlink:href="#compositing-group-9" filter="url(#filter-remove-color-and-invert-alpha)"/> +</mask> +<g id="compositing-group-10" mask="url(#mask-6)"> +<g transform="translate(38.2671, 35.4325)"> +<rect x="-38.2671" y="-35.4325" width="459.2052" height="425.19" fill="rgb(0%, 100%, 0%)" fill-opacity="1"/> +</g> +</g> +<g id="compositing-group-11" mask="url(#mask-7)"> +<g transform="translate(38.2671, 35.4325)"> +<g filter="url(#filter-2)" transform="translate(-38.2671, -35.4325)"> +<rect x="0" y="0" width="459.2052" height="425.19" fill="rgb(0%, 0%, 0%)" fill-opacity="1"/> +</g> +<path fill-rule="nonzero" fill="rgb(0%, 100%, 0%)" fill-opacity="0.501961" d="M 72.238281 125.679688 L 72.25 124.15625 L 72.28125 122.632812 L 72.335938 121.109375 L 72.414062 119.585938 L 72.511719 118.0625 L 72.632812 116.542969 L 72.773438 115.023438 L 72.9375 113.507812 L 73.125 111.992188 L 73.332031 110.480469 L 73.558594 108.972656 L 73.8125 107.46875 L 74.082031 105.964844 L 74.375 104.46875 L 74.691406 102.972656 L 75.027344 101.484375 L 75.386719 100 L 75.765625 98.519531 L 76.167969 97.042969 L 76.585938 95.574219 L 77.03125 94.109375 L 77.492188 92.652344 L 77.976562 91.203125 L 78.484375 89.757812 L 79.007812 88.320312 L 79.554688 86.890625 L 80.121094 85.46875 L 80.710938 84.054688 L 81.316406 82.648438 L 81.945312 81.25 L 82.59375 79.859375 L 83.257812 78.476562 L 83.945312 77.105469 L 84.652344 75.742188 L 85.378906 74.390625 L 86.125 73.046875 L 86.890625 71.714844 L 87.675781 70.390625 L 88.476562 69.082031 L 89.300781 67.78125 L 90.140625 66.488281 L 90.996094 65.210938 L 91.875 63.945312 L 92.769531 62.691406 L 93.683594 61.449219 L 94.613281 60.21875 L 95.5625 59 L 96.527344 57.796875 L 97.507812 56.605469 L 98.507812 55.429688 L 99.527344 54.261719 L 100.558594 53.113281 L 101.609375 51.976562 L 102.675781 50.855469 L 103.753906 49.746094 L 104.851562 48.652344 L 105.964844 47.574219 L 107.09375 46.511719 L 108.238281 45.464844 L 109.398438 44.429688 L 110.570312 43.414062 L 111.757812 42.414062 L 112.960938 41.429688 L 114.175781 40.460938 L 115.40625 39.507812 L 116.648438 38.574219 L 117.90625 37.65625 L 119.175781 36.753906 L 120.457031 35.871094 L 121.753906 35.003906 L 123.0625 34.152344 L 124.378906 33.320312 L 125.710938 32.507812 L 127.054688 31.710938 L 128.410156 30.933594 L 129.773438 30.175781 L 131.148438 29.433594 L 132.535156 28.710938 L 133.933594 28.007812 L 135.339844 27.324219 L 136.753906 26.65625 L 138.179688 26.011719 L 139.617188 25.382812 L 141.058594 24.777344 L 142.511719 24.1875 L 143.972656 23.617188 L 145.441406 23.070312 L 146.917969 22.539062 L 148.402344 22.03125 L 149.890625 21.542969 L 151.390625 21.070312 L 152.894531 20.625 L 154.40625 20.195312 L 155.921875 19.785156 L 157.445312 19.398438 L 158.972656 19.03125 L 160.503906 18.683594 L 162.042969 18.359375 L 163.585938 18.054688 L 165.132812 17.769531 L 166.683594 17.503906 L 168.234375 17.261719 L 169.792969 17.039062 L 171.355469 16.839844 L 172.917969 16.660156 L 174.484375 16.5 L 176.050781 16.363281 L 177.621094 16.246094 L 179.191406 16.152344 L 180.765625 16.078125 L 182.335938 16.023438 L 183.910156 15.992188 L 185.484375 15.980469 L 187.058594 15.992188 L 188.632812 16.023438 L 190.207031 16.078125 L 191.777344 16.152344 L 193.351562 16.246094 L 194.917969 16.363281 L 196.488281 16.5 L 198.054688 16.660156 L 199.617188 16.839844 L 201.175781 17.039062 L 202.734375 17.261719 L 204.289062 17.503906 L 205.839844 17.769531 L 207.386719 18.054688 L 208.925781 18.359375 L 210.464844 18.683594 L 212 19.03125 L 213.527344 19.398438 L 215.046875 19.785156 L 216.566406 20.195312 L 218.074219 20.625 L 219.582031 21.070312 L 221.078125 21.542969 L 222.570312 22.03125 L 224.054688 22.539062 L 225.53125 23.070312 L 226.996094 23.617188 L 228.457031 24.1875 L 229.910156 24.777344 L 231.355469 25.382812 L 232.789062 26.011719 L 234.214844 26.65625 L 235.632812 27.324219 L 237.039062 28.007812 L 238.433594 28.710938 L 239.820312 29.433594 L 241.195312 30.175781 L 242.5625 30.933594 L 243.914062 31.710938 L 245.257812 32.507812 L 246.589844 33.320312 L 247.910156 34.152344 L 249.214844 35.003906 L 250.511719 35.871094 L 251.792969 36.753906 L 253.0625 37.65625 L 254.320312 38.574219 L 255.5625 39.507812 L 256.792969 40.460938 L 258.007812 41.429688 L 259.210938 42.414062 L 260.398438 43.414062 L 261.574219 44.429688 L 262.730469 45.464844 L 263.875 46.511719 L 265.003906 47.574219 L 266.117188 48.652344 L 267.214844 49.746094 L 268.296875 50.855469 L 269.363281 51.976562 L 270.410156 53.113281 L 271.445312 54.261719 L 272.460938 55.429688 L 273.460938 56.605469 L 274.441406 57.796875 L 275.410156 59 L 276.355469 60.21875 L 277.289062 61.449219 L 278.199219 62.691406 L 279.09375 63.945312 L 279.972656 65.210938 L 280.832031 66.488281 L 281.671875 67.78125 L 282.492188 69.082031 L 283.296875 70.390625 L 284.078125 71.714844 L 284.84375 73.046875 L 285.589844 74.390625 L 286.316406 75.742188 L 287.023438 77.105469 L 287.710938 78.476562 L 288.378906 79.859375 L 289.027344 81.25 L 289.652344 82.648438 L 290.261719 84.054688 L 290.847656 85.46875 L 291.414062 86.890625 L 291.960938 88.320312 L 292.488281 89.757812 L 292.992188 91.203125 L 293.476562 92.652344 L 293.941406 94.109375 L 294.382812 95.574219 L 294.804688 97.042969 L 295.203125 98.519531 L 295.582031 100 L 295.941406 101.484375 L 296.277344 102.972656 L 296.59375 104.46875 L 296.886719 105.964844 L 297.160156 107.46875 L 297.410156 108.972656 L 297.636719 110.480469 L 297.847656 111.992188 L 298.03125 113.507812 L 298.195312 115.023438 L 298.335938 116.542969 L 298.457031 118.0625 L 298.554688 119.585938 L 298.632812 121.109375 L 298.6875 122.632812 L 298.71875 124.15625 L 298.730469 125.679688 L 298.71875 127.207031 L 298.6875 128.730469 L 298.632812 130.253906 L 298.554688 131.777344 L 298.457031 133.300781 L 298.335938 134.820312 L 298.195312 136.339844 L 298.03125 137.855469 L 297.847656 139.371094 L 297.636719 140.882812 L 297.410156 142.390625 L 297.160156 143.894531 L 296.886719 145.398438 L 296.59375 146.894531 L 296.277344 148.390625 L 295.941406 149.878906 L 295.582031 151.363281 L 295.203125 152.84375 L 294.804688 154.320312 L 294.382812 155.789062 L 293.941406 157.25 L 293.476562 158.707031 L 292.992188 160.160156 L 292.488281 161.605469 L 291.960938 163.042969 L 291.414062 164.472656 L 290.847656 165.894531 L 290.261719 167.308594 L 289.652344 168.714844 L 289.027344 170.113281 L 288.378906 171.503906 L 287.710938 172.886719 L 287.023438 174.257812 L 286.316406 175.621094 L 285.589844 176.972656 L 284.84375 178.316406 L 284.078125 179.648438 L 283.296875 180.96875 L 282.492188 182.28125 L 281.671875 183.582031 L 280.832031 184.871094 L 279.972656 186.152344 L 279.09375 187.417969 L 278.199219 188.671875 L 277.289062 189.914062 L 276.355469 191.144531 L 275.410156 192.359375 L 274.441406 193.566406 L 273.460938 194.757812 L 272.460938 195.933594 L 271.445312 197.097656 L 270.410156 198.25 L 269.363281 199.386719 L 268.296875 200.507812 L 267.214844 201.617188 L 266.117188 202.710938 L 265.003906 203.789062 L 263.875 204.851562 L 262.730469 205.898438 L 261.574219 206.929688 L 260.398438 207.949219 L 259.210938 208.949219 L 258.007812 209.933594 L 256.792969 210.902344 L 255.5625 211.851562 L 254.320312 212.789062 L 253.0625 213.707031 L 251.792969 214.609375 L 250.511719 215.492188 L 249.214844 216.359375 L 247.910156 217.210938 L 246.589844 218.039062 L 245.257812 218.855469 L 243.914062 219.652344 L 242.5625 220.429688 L 241.195312 221.1875 L 239.820312 221.929688 L 238.433594 222.652344 L 237.039062 223.355469 L 235.632812 224.039062 L 234.214844 224.703125 L 232.789062 225.351562 L 231.355469 225.980469 L 229.910156 226.585938 L 228.457031 227.175781 L 226.996094 227.742188 L 225.53125 228.292969 L 224.054688 228.824219 L 222.570312 229.332031 L 221.078125 229.820312 L 219.582031 230.289062 L 218.074219 230.738281 L 216.566406 231.167969 L 215.046875 231.578125 L 213.527344 231.964844 L 212 232.332031 L 210.464844 232.679688 L 208.925781 233.003906 L 207.386719 233.308594 L 205.839844 233.59375 L 204.289062 233.859375 L 202.734375 234.101562 L 201.175781 234.320312 L 199.617188 234.523438 L 198.054688 234.703125 L 196.488281 234.863281 L 194.917969 235 L 193.351562 235.117188 L 191.777344 235.210938 L 190.207031 235.285156 L 188.632812 235.339844 L 187.058594 235.371094 L 185.484375 235.378906 L 183.910156 235.371094 L 182.335938 235.339844 L 180.765625 235.285156 L 179.191406 235.210938 L 177.621094 235.117188 L 176.050781 235 L 174.484375 234.863281 L 172.917969 234.703125 L 171.355469 234.523438 L 169.792969 234.320312 L 168.234375 234.101562 L 166.683594 233.859375 L 165.132812 233.59375 L 163.585938 233.308594 L 162.042969 233.003906 L 160.503906 232.679688 L 158.972656 232.332031 L 157.445312 231.964844 L 155.921875 231.578125 L 154.40625 231.167969 L 152.894531 230.738281 L 151.390625 230.289062 L 149.890625 229.820312 L 148.402344 229.332031 L 146.917969 228.824219 L 145.441406 228.292969 L 143.972656 227.742188 L 142.511719 227.175781 L 141.058594 226.585938 L 139.617188 225.980469 L 138.179688 225.351562 L 136.753906 224.703125 L 135.339844 224.039062 L 133.933594 223.355469 L 132.535156 222.652344 L 131.148438 221.929688 L 129.773438 221.1875 L 128.410156 220.429688 L 127.054688 219.652344 L 125.710938 218.855469 L 124.378906 218.039062 L 123.0625 217.210938 L 121.753906 216.359375 L 120.457031 215.492188 L 119.175781 214.609375 L 117.90625 213.707031 L 116.648438 212.789062 L 115.40625 211.851562 L 114.175781 210.902344 L 112.960938 209.933594 L 111.757812 208.949219 L 110.570312 207.949219 L 109.398438 206.929688 L 108.238281 205.898438 L 107.09375 204.851562 L 105.964844 203.789062 L 104.851562 202.710938 L 103.753906 201.617188 L 102.675781 200.507812 L 101.609375 199.386719 L 100.558594 198.25 L 99.527344 197.097656 L 98.507812 195.933594 L 97.507812 194.757812 L 96.527344 193.566406 L 95.5625 192.359375 L 94.613281 191.144531 L 93.683594 189.914062 L 92.769531 188.671875 L 91.875 187.417969 L 90.996094 186.152344 L 90.140625 184.871094 L 89.300781 183.582031 L 88.476562 182.28125 L 87.675781 180.96875 L 86.890625 179.648438 L 86.125 178.316406 L 85.378906 176.972656 L 84.652344 175.621094 L 83.945312 174.257812 L 83.257812 172.886719 L 82.59375 171.503906 L 81.945312 170.113281 L 81.316406 168.714844 L 80.710938 167.308594 L 80.121094 165.894531 L 79.554688 164.472656 L 79.007812 163.042969 L 78.484375 161.605469 L 77.976562 160.160156 L 77.492188 158.707031 L 77.03125 157.25 L 76.585938 155.789062 L 76.167969 154.320312 L 75.765625 152.84375 L 75.386719 151.363281 L 75.027344 149.878906 L 74.691406 148.390625 L 74.375 146.894531 L 74.082031 145.398438 L 73.8125 143.894531 L 73.558594 142.390625 L 73.332031 140.882812 L 73.125 139.371094 L 72.9375 137.855469 L 72.773438 136.339844 L 72.632812 134.820312 L 72.511719 133.300781 L 72.414062 131.777344 L 72.335938 130.253906 L 72.28125 128.730469 L 72.25 127.207031 L 72.238281 125.679688 "/> +</g> +</g> +</defs> +<g filter="url(#filter-3)" transform="translate(-38.2671, -35.4325)"> +<rect x="0" y="0" width="459.2052" height="425.19" fill="rgb(0%, 0%, 0%)" fill-opacity="1"/> +</g> +<g fill="rgb(0%, 0%, 0%)" fill-opacity="1"> +<use xlink:href="#glyph-0-1" x="148.189041" y="87.667801"/> +<use xlink:href="#glyph-0-2" x="165.189041" y="87.667801"/> +<use xlink:href="#glyph-0-3" x="178.189041" y="87.667801"/> +<use xlink:href="#glyph-0-2" x="188.189041" y="87.667801"/> +<use xlink:href="#glyph-0-4" x="201.189041" y="87.667801"/> +<use xlink:href="#glyph-0-5" x="210.189041" y="87.667801"/> +</g> +<g fill="rgb(0%, 0%, 0%)" fill-opacity="1"> +<use xlink:href="#glyph-1-1" x="233.580944" y="277.513871"/> +<use xlink:href="#glyph-1-2" x="247.580944" y="277.513871"/> +<use xlink:href="#glyph-1-3" x="261.580944" y="277.513871"/> +<use xlink:href="#glyph-1-4" x="267.580944" y="277.513871"/> +<use xlink:href="#glyph-1-5" x="281.580944" y="277.513871"/> +<use xlink:href="#glyph-1-6" x="294.580944" y="277.513871"/> +<use xlink:href="#glyph-1-7" x="303.580944" y="277.513871"/> +<use xlink:href="#glyph-1-8" x="316.580944" y="277.513871"/> +<use xlink:href="#glyph-1-9" x="330.580944" y="277.513871"/> +<use xlink:href="#glyph-1-3" x="336.580944" y="277.513871"/> +<use xlink:href="#glyph-1-9" x="342.580944" y="277.513871"/> +<use xlink:href="#glyph-1-10" x="348.580944" y="277.513871"/> +<use xlink:href="#glyph-1-11" x="357.580944" y="277.513871"/> +</g> +<g fill="rgb(0%, 0%, 0%)" fill-opacity="1"> +<use xlink:href="#glyph-1-12" x="37.373461" y="273.472251"/> +<use xlink:href="#glyph-1-13" x="50.373461" y="273.472251"/> +<use xlink:href="#glyph-1-14" x="61.373461" y="273.472251"/> +<use xlink:href="#glyph-1-15" x="75.373461" y="273.472251"/> +<use xlink:href="#glyph-1-16" x="89.373461" y="273.472251"/> +<use xlink:href="#glyph-1-2" x="99.373461" y="273.472251"/> +<use xlink:href="#glyph-1-6" x="113.373461" y="273.472251"/> +<use xlink:href="#glyph-1-5" x="122.373461" y="273.472251"/> +</g> +<g fill="rgb(0%, 0%, 0%)" fill-opacity="1"> +<use xlink:href="#glyph-0-6" x="171.200944" y="206.662894"/> +<use xlink:href="#glyph-0-7" x="185.200944" y="206.662894"/> +<use xlink:href="#glyph-0-8" x="191.200944" y="206.662894"/> +<use xlink:href="#glyph-0-9" x="201.200944" y="206.662894"/> +</g> +</svg> diff --git a/book/figures/risk-steps.PNG b/book/figures/risk-steps.PNG new file mode 100644 index 0000000..510574d Binary files /dev/null and b/book/figures/risk-steps.PNG differ diff --git a/book/figures/risk_contour.png b/book/figures/risk_contour.png new file mode 100644 index 0000000..c7edf29 Binary files /dev/null and b/book/figures/risk_contour.png differ diff --git a/book/figures/risk_matrix.png b/book/figures/risk_matrix.png new file mode 100644 index 0000000..6791816 Binary files /dev/null and b/book/figures/risk_matrix.png differ diff --git a/book/figures/risk_types.svg b/book/figures/risk_types.svg new file mode 100644 index 0000000..749982f --- /dev/null +++ b/book/figures/risk_types.svg @@ -0,0 +1,1886 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2024-02-18T08:47:03.879320</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.8.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <path d="M 92.290909 384.48 +L 92.290909 51.84 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_2"> + <defs> + <path id="m082d984490" d="M 0 0 +L 0 8 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#m082d984490" x="92.290909" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_1"> + <!-- $\mathdefault{10^{0}}$ --> + <g transform="translate(80.850909 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(128.203125 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_3"> + <path d="M 227.563636 384.48 +L 227.563636 51.84 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_4"> + <g> + <use xlink:href="#m082d984490" x="227.563636" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_2"> + <!-- $\mathdefault{10^{1}}$ --> + <g transform="translate(216.123636 405.857969) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(128.203125 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_5"> + <path d="M 362.836364 384.48 +L 362.836364 51.84 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_6"> + <g> + <use xlink:href="#m082d984490" x="362.836364" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_3"> + <!-- $\mathdefault{10^{2}}$ --> + <g transform="translate(351.396364 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(128.203125 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_7"> + <path d="M 498.109091 384.48 +L 498.109091 51.84 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_8"> + <g> + <use xlink:href="#m082d984490" x="498.109091" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_4"> + <!-- $\mathdefault{10^{3}}$ --> + <g transform="translate(486.669091 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(128.203125 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_9"> + <defs> + <path id="m83cad96c99" d="M 0 0 +L 0 2 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#m83cad96c99" x="79.181627" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_10"> + <g> + <use xlink:href="#m83cad96c99" x="86.101169" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_11"> + <g> + <use xlink:href="#m83cad96c99" x="133.012058" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_12"> + <g> + <use xlink:href="#m83cad96c99" x="156.832402" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_9"> + <g id="line2d_13"> + <g> + <use xlink:href="#m83cad96c99" x="173.733206" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_10"> + <g id="line2d_14"> + <g> + <use xlink:href="#m83cad96c99" x="186.842488" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_11"> + <g id="line2d_15"> + <g> + <use xlink:href="#m83cad96c99" x="197.553551" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_12"> + <g id="line2d_16"> + <g> + <use xlink:href="#m83cad96c99" x="206.609626" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_13"> + <g id="line2d_17"> + <g> + <use xlink:href="#m83cad96c99" x="214.454355" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_14"> + <g id="line2d_18"> + <g> + <use xlink:href="#m83cad96c99" x="221.373896" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_15"> + <g id="line2d_19"> + <g> + <use xlink:href="#m83cad96c99" x="268.284785" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_16"> + <g id="line2d_20"> + <g> + <use xlink:href="#m83cad96c99" x="292.10513" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_17"> + <g id="line2d_21"> + <g> + <use xlink:href="#m83cad96c99" x="309.005933" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_18"> + <g id="line2d_22"> + <g> + <use xlink:href="#m83cad96c99" x="322.115215" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_19"> + <g id="line2d_23"> + <g> + <use xlink:href="#m83cad96c99" x="332.826278" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_20"> + <g id="line2d_24"> + <g> + <use xlink:href="#m83cad96c99" x="341.882353" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_21"> + <g id="line2d_25"> + <g> + <use xlink:href="#m83cad96c99" x="349.727082" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_22"> + <g id="line2d_26"> + <g> + <use xlink:href="#m83cad96c99" x="356.646623" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_23"> + <g id="line2d_27"> + <g> + <use xlink:href="#m83cad96c99" x="403.557512" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_24"> + <g id="line2d_28"> + <g> + <use xlink:href="#m83cad96c99" x="427.377857" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_25"> + <g id="line2d_29"> + <g> + <use xlink:href="#m83cad96c99" x="444.278661" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_26"> + <g id="line2d_30"> + <g> + <use xlink:href="#m83cad96c99" x="457.387942" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_27"> + <g id="line2d_31"> + <g> + <use xlink:href="#m83cad96c99" x="468.099006" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_28"> + <g id="line2d_32"> + <g> + <use xlink:href="#m83cad96c99" x="477.15508" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_29"> + <g id="line2d_33"> + <g> + <use xlink:href="#m83cad96c99" x="484.999809" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_30"> + <g id="line2d_34"> + <g> + <use xlink:href="#m83cad96c99" x="491.91935" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_5"> + <!-- Fatalities, N [$-$] --> + <g transform="translate(239.52 424.081563) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-46" d="M 525 0 +L 525 4581 +L 3616 4581 +L 3616 4041 +L 1131 4041 +L 1131 2622 +L 3281 2622 +L 3281 2081 +L 1131 2081 +L 1131 0 +L 525 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-61" d="M 2588 409 +Q 2275 144 1986 34 +Q 1697 -75 1366 -75 +Q 819 -75 525 192 +Q 231 459 231 875 +Q 231 1119 342 1320 +Q 453 1522 633 1644 +Q 813 1766 1038 1828 +Q 1203 1872 1538 1913 +Q 2219 1994 2541 2106 +Q 2544 2222 2544 2253 +Q 2544 2597 2384 2738 +Q 2169 2928 1744 2928 +Q 1347 2928 1158 2789 +Q 969 2650 878 2297 +L 328 2372 +Q 403 2725 575 2942 +Q 747 3159 1072 3276 +Q 1397 3394 1825 3394 +Q 2250 3394 2515 3294 +Q 2781 3194 2906 3042 +Q 3031 2891 3081 2659 +Q 3109 2516 3109 2141 +L 3109 1391 +Q 3109 606 3145 398 +Q 3181 191 3288 0 +L 2700 0 +Q 2613 175 2588 409 +z +M 2541 1666 +Q 2234 1541 1622 1453 +Q 1275 1403 1131 1340 +Q 988 1278 909 1158 +Q 831 1038 831 891 +Q 831 666 1001 516 +Q 1172 366 1500 366 +Q 1825 366 2078 508 +Q 2331 650 2450 897 +Q 2541 1088 2541 1459 +L 2541 1666 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-74" d="M 1650 503 +L 1731 6 +Q 1494 -44 1306 -44 +Q 1000 -44 831 53 +Q 663 150 594 308 +Q 525 466 525 972 +L 525 2881 +L 113 2881 +L 113 3319 +L 525 3319 +L 525 4141 +L 1084 4478 +L 1084 3319 +L 1650 3319 +L 1650 2881 +L 1084 2881 +L 1084 941 +Q 1084 700 1114 631 +Q 1144 563 1211 522 +Q 1278 481 1403 481 +Q 1497 481 1650 503 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6c" d="M 409 0 +L 409 4581 +L 972 4581 +L 972 0 +L 409 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-69" d="M 425 3934 +L 425 4581 +L 988 4581 +L 988 3934 +L 425 3934 +z +M 425 0 +L 425 3319 +L 988 3319 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-65" d="M 2694 1069 +L 3275 997 +Q 3138 488 2766 206 +Q 2394 -75 1816 -75 +Q 1088 -75 661 373 +Q 234 822 234 1631 +Q 234 2469 665 2931 +Q 1097 3394 1784 3394 +Q 2450 3394 2872 2941 +Q 3294 2488 3294 1666 +Q 3294 1616 3291 1516 +L 816 1516 +Q 847 969 1125 678 +Q 1403 388 1819 388 +Q 2128 388 2347 550 +Q 2566 713 2694 1069 +z +M 847 1978 +L 2700 1978 +Q 2663 2397 2488 2606 +Q 2219 2931 1791 2931 +Q 1403 2931 1139 2672 +Q 875 2413 847 1978 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-73" d="M 197 991 +L 753 1078 +Q 800 744 1014 566 +Q 1228 388 1613 388 +Q 2000 388 2187 545 +Q 2375 703 2375 916 +Q 2375 1106 2209 1216 +Q 2094 1291 1634 1406 +Q 1016 1563 777 1677 +Q 538 1791 414 1992 +Q 291 2194 291 2438 +Q 291 2659 392 2848 +Q 494 3038 669 3163 +Q 800 3259 1026 3326 +Q 1253 3394 1513 3394 +Q 1903 3394 2198 3281 +Q 2494 3169 2634 2976 +Q 2775 2784 2828 2463 +L 2278 2388 +Q 2241 2644 2061 2787 +Q 1881 2931 1553 2931 +Q 1166 2931 1000 2803 +Q 834 2675 834 2503 +Q 834 2394 903 2306 +Q 972 2216 1119 2156 +Q 1203 2125 1616 2013 +Q 2213 1853 2448 1751 +Q 2684 1650 2818 1456 +Q 2953 1263 2953 975 +Q 2953 694 2789 445 +Q 2625 197 2315 61 +Q 2006 -75 1616 -75 +Q 969 -75 630 194 +Q 291 463 197 991 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-2c" d="M 569 0 +L 569 641 +L 1209 641 +L 1209 0 +Q 1209 -353 1084 -570 +Q 959 -788 688 -906 +L 531 -666 +Q 709 -588 793 -436 +Q 878 -284 888 0 +L 569 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-20" transform="scale(0.015625)"/> + <path id="ArialMT-4e" d="M 488 0 +L 488 4581 +L 1109 4581 +L 3516 984 +L 3516 4581 +L 4097 4581 +L 4097 0 +L 3475 0 +L 1069 3600 +L 1069 0 +L 488 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5b" d="M 434 -1272 +L 434 4581 +L 1675 4581 +L 1675 4116 +L 997 4116 +L 997 -806 +L 1675 -806 +L 1675 -1272 +L 434 -1272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5d" d="M 1363 -1272 +L 122 -1272 +L 122 -806 +L 800 -806 +L 800 4116 +L 122 4116 +L 122 4581 +L 1363 4581 +L 1363 -1272 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-46" transform="translate(0 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(61.083984 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(116.699219 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(144.482422 0.421875)"/> + <use xlink:href="#ArialMT-6c" transform="translate(200.097656 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(222.314453 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(244.53125 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(272.314453 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(294.53125 0.421875)"/> + <use xlink:href="#ArialMT-73" transform="translate(350.146484 0.421875)"/> + <use xlink:href="#ArialMT-2c" transform="translate(400.146484 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(427.929688 0.421875)"/> + <use xlink:href="#ArialMT-4e" transform="translate(455.712891 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(527.929688 0.421875)"/> + <use xlink:href="#ArialMT-5b" transform="translate(555.712891 0.421875)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(583.496094 0.421875)"/> + <use xlink:href="#ArialMT-5d" transform="translate(667.285156 0.421875)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_35"> + <path d="M 72 384.48 +L 518.4 384.48 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_36"> + <defs> + <path id="m8327a063d6" d="M 0 0 +L -8 0 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#m8327a063d6" x="72" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_6"> + <!-- $\mathdefault{10^{-7}}$ --> + <g transform="translate(29.95 389.418984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-37" d="M 525 4666 +L 3525 4666 +L 3525 4397 +L 1831 0 +L 1172 0 +L 2766 4134 +L 525 4134 +L 525 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625) scale(0.7)"/> + <use xlink:href="#DejaVuSans-37" transform="translate(186.855469 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_37"> + <path d="M 72 329.04 +L 518.4 329.04 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_38"> + <g> + <use xlink:href="#m8327a063d6" x="72" y="329.04" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_7"> + <!-- $\mathdefault{10^{-6}}$ --> + <g transform="translate(29.95 333.978984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875) scale(0.7)"/> + <use xlink:href="#DejaVuSans-36" transform="translate(186.855469 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_39"> + <path d="M 72 273.6 +L 518.4 273.6 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_40"> + <g> + <use xlink:href="#m8327a063d6" x="72" y="273.6" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_8"> + <!-- $\mathdefault{10^{-5}}$ --> + <g transform="translate(29.95 278.538984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-35" d="M 691 4666 +L 3169 4666 +L 3169 4134 +L 1269 4134 +L 1269 2991 +Q 1406 3038 1543 3061 +Q 1681 3084 1819 3084 +Q 2600 3084 3056 2656 +Q 3513 2228 3513 1497 +Q 3513 744 3044 326 +Q 2575 -91 1722 -91 +Q 1428 -91 1123 -41 +Q 819 9 494 109 +L 494 744 +Q 775 591 1075 516 +Q 1375 441 1709 441 +Q 2250 441 2565 725 +Q 2881 1009 2881 1497 +Q 2881 1984 2565 2268 +Q 2250 2553 1709 2553 +Q 1456 2553 1204 2497 +Q 953 2441 691 2322 +L 691 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625) scale(0.7)"/> + <use xlink:href="#DejaVuSans-35" transform="translate(186.855469 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_41"> + <path d="M 72 218.16 +L 518.4 218.16 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_42"> + <g> + <use xlink:href="#m8327a063d6" x="72" y="218.16" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_9"> + <!-- $\mathdefault{10^{-4}}$ --> + <g transform="translate(29.95 223.098984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625) scale(0.7)"/> + <use xlink:href="#DejaVuSans-34" transform="translate(186.855469 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_43"> + <path d="M 72 162.72 +L 518.4 162.72 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_44"> + <g> + <use xlink:href="#m8327a063d6" x="72" y="162.72" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_10"> + <!-- $\mathdefault{10^{-3}}$ --> + <g transform="translate(29.95 167.658984) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875) scale(0.7)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(186.855469 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_45"> + <path d="M 72 107.28 +L 518.4 107.28 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_46"> + <g> + <use xlink:href="#m8327a063d6" x="72" y="107.28" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_11"> + <!-- $\mathdefault{10^{-2}}$ --> + <g transform="translate(29.95 112.218984) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875) scale(0.7)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(186.855469 39.046875) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_47"> + <path d="M 72 51.84 +L 518.4 51.84 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square"/> + </g> + <g id="line2d_48"> + <g> + <use xlink:href="#m8327a063d6" x="72" y="51.84" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_12"> + <!-- $\mathdefault{10^{-1}}$ --> + <g transform="translate(29.95 56.778984) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625) scale(0.7)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(186.855469 38.965625) scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_49"> + <defs> + <path id="mb4175eaae4" d="M 0 0 +L -2 0 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="367.790897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_9"> + <g id="line2d_50"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="358.028398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_10"> + <g id="line2d_51"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="351.101794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_11"> + <g id="line2d_52"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="345.729103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_12"> + <g id="line2d_53"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="341.339295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_13"> + <g id="line2d_54"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="337.627765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_14"> + <g id="line2d_55"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="334.412691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_15"> + <g id="line2d_56"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="331.576795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_16"> + <g id="line2d_57"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="312.350897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_17"> + <g id="line2d_58"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="302.588398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_18"> + <g id="line2d_59"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="295.661794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_19"> + <g id="line2d_60"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="290.289103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_20"> + <g id="line2d_61"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="285.899295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_21"> + <g id="line2d_62"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="282.187765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_22"> + <g id="line2d_63"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="278.972691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_23"> + <g id="line2d_64"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="276.136795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_24"> + <g id="line2d_65"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="256.910897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_25"> + <g id="line2d_66"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="247.148398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_26"> + <g id="line2d_67"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="240.221794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_27"> + <g id="line2d_68"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="234.849103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_28"> + <g id="line2d_69"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="230.459295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_29"> + <g id="line2d_70"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="226.747765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_30"> + <g id="line2d_71"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="223.532691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_31"> + <g id="line2d_72"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="220.696795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_32"> + <g id="line2d_73"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="201.470897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_33"> + <g id="line2d_74"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="191.708398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_34"> + <g id="line2d_75"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="184.781794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_35"> + <g id="line2d_76"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="179.409103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_36"> + <g id="line2d_77"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="175.019295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_37"> + <g id="line2d_78"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="171.307765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_38"> + <g id="line2d_79"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="168.092691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_39"> + <g id="line2d_80"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="165.256795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_40"> + <g id="line2d_81"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="146.030897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_41"> + <g id="line2d_82"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="136.268398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_42"> + <g id="line2d_83"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="129.341794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_43"> + <g id="line2d_84"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="123.969103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_44"> + <g id="line2d_85"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="119.579295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_45"> + <g id="line2d_86"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="115.867765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_46"> + <g id="line2d_87"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="112.652691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_47"> + <g id="line2d_88"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="109.816795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_48"> + <g id="line2d_89"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="90.590897" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_49"> + <g id="line2d_90"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="80.828398" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_50"> + <g id="line2d_91"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="73.901794" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_51"> + <g id="line2d_92"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="68.529103" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_52"> + <g id="line2d_93"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="64.139295" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_53"> + <g id="line2d_94"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="60.427765" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_54"> + <g id="line2d_95"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="57.212691" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_55"> + <g id="line2d_96"> + <g> + <use xlink:href="#mb4175eaae4" x="72" y="54.376795" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_13"> + <!-- Probability of Exceedance, $1-F_N(n)$ [$-$] --> + <g transform="translate(22.43 363.76) rotate(-90) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-50" d="M 494 0 +L 494 4581 +L 2222 4581 +Q 2678 4581 2919 4538 +Q 3256 4481 3484 4323 +Q 3713 4166 3852 3881 +Q 3991 3597 3991 3256 +Q 3991 2672 3619 2267 +Q 3247 1863 2275 1863 +L 1100 1863 +L 1100 0 +L 494 0 +z +M 1100 2403 +L 2284 2403 +Q 2872 2403 3119 2622 +Q 3366 2841 3366 3238 +Q 3366 3525 3220 3729 +Q 3075 3934 2838 4000 +Q 2684 4041 2272 4041 +L 1100 4041 +L 1100 2403 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-72" d="M 416 0 +L 416 3319 +L 922 3319 +L 922 2816 +Q 1116 3169 1280 3281 +Q 1444 3394 1641 3394 +Q 1925 3394 2219 3213 +L 2025 2691 +Q 1819 2813 1613 2813 +Q 1428 2813 1281 2702 +Q 1134 2591 1072 2394 +Q 978 2094 978 1738 +L 978 0 +L 416 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6f" d="M 213 1659 +Q 213 2581 725 3025 +Q 1153 3394 1769 3394 +Q 2453 3394 2887 2945 +Q 3322 2497 3322 1706 +Q 3322 1066 3130 698 +Q 2938 331 2570 128 +Q 2203 -75 1769 -75 +Q 1072 -75 642 372 +Q 213 819 213 1659 +z +M 791 1659 +Q 791 1022 1069 705 +Q 1347 388 1769 388 +Q 2188 388 2466 706 +Q 2744 1025 2744 1678 +Q 2744 2294 2464 2611 +Q 2184 2928 1769 2928 +Q 1347 2928 1069 2612 +Q 791 2297 791 1659 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-62" d="M 941 0 +L 419 0 +L 419 4581 +L 981 4581 +L 981 2947 +Q 1338 3394 1891 3394 +Q 2197 3394 2470 3270 +Q 2744 3147 2920 2923 +Q 3097 2700 3197 2384 +Q 3297 2069 3297 1709 +Q 3297 856 2875 390 +Q 2453 -75 1863 -75 +Q 1275 -75 941 416 +L 941 0 +z +M 934 1684 +Q 934 1088 1097 822 +Q 1363 388 1816 388 +Q 2184 388 2453 708 +Q 2722 1028 2722 1663 +Q 2722 2313 2464 2622 +Q 2206 2931 1841 2931 +Q 1472 2931 1203 2611 +Q 934 2291 934 1684 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-79" d="M 397 -1278 +L 334 -750 +Q 519 -800 656 -800 +Q 844 -800 956 -737 +Q 1069 -675 1141 -563 +Q 1194 -478 1313 -144 +Q 1328 -97 1363 -6 +L 103 3319 +L 709 3319 +L 1400 1397 +Q 1534 1031 1641 628 +Q 1738 1016 1872 1384 +L 2581 3319 +L 3144 3319 +L 1881 -56 +Q 1678 -603 1566 -809 +Q 1416 -1088 1222 -1217 +Q 1028 -1347 759 -1347 +Q 597 -1347 397 -1278 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-66" d="M 556 0 +L 556 2881 +L 59 2881 +L 59 3319 +L 556 3319 +L 556 3672 +Q 556 4006 616 4169 +Q 697 4388 901 4523 +Q 1106 4659 1475 4659 +Q 1713 4659 2000 4603 +L 1916 4113 +Q 1741 4144 1584 4144 +Q 1328 4144 1222 4034 +Q 1116 3925 1116 3625 +L 1116 3319 +L 1763 3319 +L 1763 2881 +L 1116 2881 +L 1116 0 +L 556 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-45" d="M 506 0 +L 506 4581 +L 3819 4581 +L 3819 4041 +L 1113 4041 +L 1113 2638 +L 3647 2638 +L 3647 2100 +L 1113 2100 +L 1113 541 +L 3925 541 +L 3925 0 +L 506 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-78" d="M 47 0 +L 1259 1725 +L 138 3319 +L 841 3319 +L 1350 2541 +Q 1494 2319 1581 2169 +Q 1719 2375 1834 2534 +L 2394 3319 +L 3066 3319 +L 1919 1756 +L 3153 0 +L 2463 0 +L 1781 1031 +L 1600 1309 +L 728 0 +L 47 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-63" d="M 2588 1216 +L 3141 1144 +Q 3050 572 2676 248 +Q 2303 -75 1759 -75 +Q 1078 -75 664 370 +Q 250 816 250 1647 +Q 250 2184 428 2587 +Q 606 2991 970 3192 +Q 1334 3394 1763 3394 +Q 2303 3394 2647 3120 +Q 2991 2847 3088 2344 +L 2541 2259 +Q 2463 2594 2264 2762 +Q 2066 2931 1784 2931 +Q 1359 2931 1093 2626 +Q 828 2322 828 1663 +Q 828 994 1084 691 +Q 1341 388 1753 388 +Q 2084 388 2306 591 +Q 2528 794 2588 1216 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-64" d="M 2575 0 +L 2575 419 +Q 2259 -75 1647 -75 +Q 1250 -75 917 144 +Q 584 363 401 755 +Q 219 1147 219 1656 +Q 219 2153 384 2558 +Q 550 2963 881 3178 +Q 1213 3394 1622 3394 +Q 1922 3394 2156 3267 +Q 2391 3141 2538 2938 +L 2538 4581 +L 3097 4581 +L 3097 0 +L 2575 0 +z +M 797 1656 +Q 797 1019 1065 703 +Q 1334 388 1700 388 +Q 2069 388 2326 689 +Q 2584 991 2584 1609 +Q 2584 2291 2321 2609 +Q 2059 2928 1675 2928 +Q 1300 2928 1048 2622 +Q 797 2316 797 1656 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6e" d="M 422 0 +L 422 3319 +L 928 3319 +L 928 2847 +Q 1294 3394 1984 3394 +Q 2284 3394 2536 3286 +Q 2788 3178 2913 3003 +Q 3038 2828 3088 2588 +Q 3119 2431 3119 2041 +L 3119 0 +L 2556 0 +L 2556 2019 +Q 2556 2363 2490 2533 +Q 2425 2703 2258 2804 +Q 2091 2906 1866 2906 +Q 1506 2906 1245 2678 +Q 984 2450 984 1813 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-46" d="M 1081 4666 +L 3756 4666 +L 3653 4134 +L 1606 4134 +L 1338 2759 +L 3188 2759 +L 3084 2228 +L 1234 2228 +L 800 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-6e" d="M 3566 2113 +L 3156 0 +L 2578 0 +L 2988 2091 +Q 3016 2238 3031 2350 +Q 3047 2463 3047 2528 +Q 3047 2791 2881 2937 +Q 2716 3084 2419 3084 +Q 1956 3084 1622 2776 +Q 1288 2469 1184 1941 +L 800 0 +L 225 0 +L 903 3500 +L 1478 3500 +L 1363 2950 +Q 1603 3253 1940 3418 +Q 2278 3584 2650 3584 +Q 3113 3584 3367 3334 +Q 3622 3084 3622 2631 +Q 3622 2519 3608 2391 +Q 3594 2263 3566 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-50" transform="translate(0 0.125)"/> + <use xlink:href="#ArialMT-72" transform="translate(66.699219 0.125)"/> + <use xlink:href="#ArialMT-6f" transform="translate(100 0.125)"/> + <use xlink:href="#ArialMT-62" transform="translate(155.615234 0.125)"/> + <use xlink:href="#ArialMT-61" transform="translate(211.230469 0.125)"/> + <use xlink:href="#ArialMT-62" transform="translate(266.845703 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(322.460938 0.125)"/> + <use xlink:href="#ArialMT-6c" transform="translate(344.677734 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(366.894531 0.125)"/> + <use xlink:href="#ArialMT-74" transform="translate(389.111328 0.125)"/> + <use xlink:href="#ArialMT-79" transform="translate(416.894531 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(466.894531 0.125)"/> + <use xlink:href="#ArialMT-6f" transform="translate(494.677734 0.125)"/> + <use xlink:href="#ArialMT-66" transform="translate(550.292969 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(578.076172 0.125)"/> + <use xlink:href="#ArialMT-45" transform="translate(605.859375 0.125)"/> + <use xlink:href="#ArialMT-78" transform="translate(672.558594 0.125)"/> + <use xlink:href="#ArialMT-63" transform="translate(722.558594 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(772.558594 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(828.173828 0.125)"/> + <use xlink:href="#ArialMT-64" transform="translate(883.789062 0.125)"/> + <use xlink:href="#ArialMT-61" transform="translate(939.404297 0.125)"/> + <use xlink:href="#ArialMT-6e" transform="translate(995.019531 0.125)"/> + <use xlink:href="#ArialMT-63" transform="translate(1050.634766 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(1100.634766 0.125)"/> + <use xlink:href="#ArialMT-2c" transform="translate(1156.25 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(1184.033203 0.125)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(1211.816406 0.125)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1294.921875 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-46" transform="translate(1398.193359 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(1455.712891 -16.28125) scale(0.7)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(1510.810547 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(1549.824219 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(1613.203125 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(1652.216797 0.125)"/> + <use xlink:href="#ArialMT-5b" transform="translate(1680 0.125)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1707.783203 0.125)"/> + <use xlink:href="#ArialMT-5d" transform="translate(1791.572266 0.125)"/> + </g> + </g> + </g> + <g id="line2d_97"> + <path d="M 92.290909 49.303205 +L 498.109091 381.943205 +L 498.109091 381.943205 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #0c2340; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="line2d_98"> + <path d="M 92.290909 167.351793 +L 498.109091 333.671793 +L 498.109091 333.671793 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="line2d_99"> + <path d="M 72 218.16 +L 518.4 218.16 +" clip-path="url(#p6ed68128bc)" style="fill: none; stroke: #0076c2; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 72 384.48 +L 72 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 518.4 384.48 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 72 384.48 +L 518.4 384.48 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 72 51.84 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="legend_1"> + <g id="patch_7"> + <path d="M 350.1975 132.5375 +L 507.2 132.5375 +Q 510.4 132.5375 510.4 129.3375 +L 510.4 63.04 +Q 510.4 59.84 507.2 59.84 +L 350.1975 59.84 +Q 346.9975 59.84 346.9975 63.04 +L 346.9975 129.3375 +Q 346.9975 132.5375 350.1975 132.5375 +z +" style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/> + </g> + <g id="line2d_100"> + <path d="M 353.3975 72.0925 +L 369.3975 72.0925 +L 385.3975 72.0925 +" style="fill: none; stroke: #0c2340; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_14"> + <!-- Societal Risk --> + <g transform="translate(398.1975 77.6925) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-53" d="M 288 1472 +L 859 1522 +Q 900 1178 1048 958 +Q 1197 738 1509 602 +Q 1822 466 2213 466 +Q 2559 466 2825 569 +Q 3091 672 3220 851 +Q 3350 1031 3350 1244 +Q 3350 1459 3225 1620 +Q 3100 1781 2813 1891 +Q 2628 1963 1997 2114 +Q 1366 2266 1113 2400 +Q 784 2572 623 2826 +Q 463 3081 463 3397 +Q 463 3744 659 4045 +Q 856 4347 1234 4503 +Q 1613 4659 2075 4659 +Q 2584 4659 2973 4495 +Q 3363 4331 3572 4012 +Q 3781 3694 3797 3291 +L 3216 3247 +Q 3169 3681 2898 3903 +Q 2628 4125 2100 4125 +Q 1550 4125 1298 3923 +Q 1047 3722 1047 3438 +Q 1047 3191 1225 3031 +Q 1400 2872 2139 2705 +Q 2878 2538 3153 2413 +Q 3553 2228 3743 1945 +Q 3934 1663 3934 1294 +Q 3934 928 3725 604 +Q 3516 281 3123 101 +Q 2731 -78 2241 -78 +Q 1619 -78 1198 103 +Q 778 284 539 648 +Q 300 1013 288 1472 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-52" d="M 503 0 +L 503 4581 +L 2534 4581 +Q 3147 4581 3465 4457 +Q 3784 4334 3975 4021 +Q 4166 3709 4166 3331 +Q 4166 2844 3850 2509 +Q 3534 2175 2875 2084 +Q 3116 1969 3241 1856 +Q 3506 1613 3744 1247 +L 4541 0 +L 3778 0 +L 3172 953 +Q 2906 1366 2734 1584 +Q 2563 1803 2427 1890 +Q 2291 1978 2150 2013 +Q 2047 2034 1813 2034 +L 1109 2034 +L 1109 0 +L 503 0 +z +M 1109 2559 +L 2413 2559 +Q 2828 2559 3062 2645 +Q 3297 2731 3419 2920 +Q 3541 3109 3541 3331 +Q 3541 3656 3305 3865 +Q 3069 4075 2559 4075 +L 1109 4075 +L 1109 2559 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6b" d="M 425 0 +L 425 4581 +L 988 4581 +L 988 1969 +L 2319 3319 +L 3047 3319 +L 1778 2088 +L 3175 0 +L 2481 0 +L 1384 1697 +L 988 1316 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-53"/> + <use xlink:href="#ArialMT-6f" x="66.699219"/> + <use xlink:href="#ArialMT-63" x="122.314453"/> + <use xlink:href="#ArialMT-69" x="172.314453"/> + <use xlink:href="#ArialMT-65" x="194.53125"/> + <use xlink:href="#ArialMT-74" x="250.146484"/> + <use xlink:href="#ArialMT-61" x="277.929688"/> + <use xlink:href="#ArialMT-6c" x="333.544922"/> + <use xlink:href="#ArialMT-20" x="355.761719"/> + <use xlink:href="#ArialMT-52" x="383.544922"/> + <use xlink:href="#ArialMT-69" x="455.761719"/> + <use xlink:href="#ArialMT-73" x="477.978516"/> + <use xlink:href="#ArialMT-6b" x="527.978516"/> + </g> + </g> + <g id="line2d_101"> + <path d="M 353.3975 94.725 +L 369.3975 94.725 +L 385.3975 94.725 +" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_15"> + <!-- Economic Risk --> + <g transform="translate(398.1975 100.325) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-6d" d="M 422 0 +L 422 3319 +L 925 3319 +L 925 2853 +Q 1081 3097 1340 3245 +Q 1600 3394 1931 3394 +Q 2300 3394 2536 3241 +Q 2772 3088 2869 2813 +Q 3263 3394 3894 3394 +Q 4388 3394 4653 3120 +Q 4919 2847 4919 2278 +L 4919 0 +L 4359 0 +L 4359 2091 +Q 4359 2428 4304 2576 +Q 4250 2725 4106 2815 +Q 3963 2906 3769 2906 +Q 3419 2906 3187 2673 +Q 2956 2441 2956 1928 +L 2956 0 +L 2394 0 +L 2394 2156 +Q 2394 2531 2256 2718 +Q 2119 2906 1806 2906 +Q 1569 2906 1367 2781 +Q 1166 2656 1075 2415 +Q 984 2175 984 1722 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-45"/> + <use xlink:href="#ArialMT-63" x="66.699219"/> + <use xlink:href="#ArialMT-6f" x="116.699219"/> + <use xlink:href="#ArialMT-6e" x="172.314453"/> + <use xlink:href="#ArialMT-6f" x="227.929688"/> + <use xlink:href="#ArialMT-6d" x="283.544922"/> + <use xlink:href="#ArialMT-69" x="366.845703"/> + <use xlink:href="#ArialMT-63" x="389.0625"/> + <use xlink:href="#ArialMT-20" x="439.0625"/> + <use xlink:href="#ArialMT-52" x="466.845703"/> + <use xlink:href="#ArialMT-69" x="539.0625"/> + <use xlink:href="#ArialMT-73" x="561.279297"/> + <use xlink:href="#ArialMT-6b" x="611.279297"/> + </g> + </g> + <g id="line2d_102"> + <path d="M 353.3975 117.3575 +L 369.3975 117.3575 +L 385.3975 117.3575 +" style="fill: none; stroke: #0076c2; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_16"> + <!-- Individual Risk --> + <g transform="translate(398.1975 122.9575) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-49" d="M 597 0 +L 597 4581 +L 1203 4581 +L 1203 0 +L 597 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-76" d="M 1344 0 +L 81 3319 +L 675 3319 +L 1388 1331 +Q 1503 1009 1600 663 +Q 1675 925 1809 1294 +L 2547 3319 +L 3125 3319 +L 1869 0 +L 1344 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-75" d="M 2597 0 +L 2597 488 +Q 2209 -75 1544 -75 +Q 1250 -75 995 37 +Q 741 150 617 320 +Q 494 491 444 738 +Q 409 903 409 1263 +L 409 3319 +L 972 3319 +L 972 1478 +Q 972 1038 1006 884 +Q 1059 663 1231 536 +Q 1403 409 1656 409 +Q 1909 409 2131 539 +Q 2353 669 2445 892 +Q 2538 1116 2538 1541 +L 2538 3319 +L 3100 3319 +L 3100 0 +L 2597 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-49"/> + <use xlink:href="#ArialMT-6e" x="27.783203"/> + <use xlink:href="#ArialMT-64" x="83.398438"/> + <use xlink:href="#ArialMT-69" x="139.013672"/> + <use xlink:href="#ArialMT-76" x="161.230469"/> + <use xlink:href="#ArialMT-69" x="211.230469"/> + <use xlink:href="#ArialMT-64" x="233.447266"/> + <use xlink:href="#ArialMT-75" x="289.0625"/> + <use xlink:href="#ArialMT-61" x="344.677734"/> + <use xlink:href="#ArialMT-6c" x="400.292969"/> + <use xlink:href="#ArialMT-20" x="422.509766"/> + <use xlink:href="#ArialMT-52" x="450.292969"/> + <use xlink:href="#ArialMT-69" x="522.509766"/> + <use xlink:href="#ArialMT-73" x="544.726562"/> + <use xlink:href="#ArialMT-6b" x="594.726562"/> + </g> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="p6ed68128bc"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/risk_types_py.svg b/book/figures/risk_types_py.svg new file mode 100644 index 0000000..2e21dc5 --- /dev/null +++ b/book/figures/risk_types_py.svg @@ -0,0 +1,1823 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2023-11-08T14:23:21.700078</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.5.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="maf19019778" d="M 0 0 +L 0 3.5 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#maf19019778" x="92.290909" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_1"> + <!-- $\mathdefault{10^{0}}$ --> + <g transform="translate(78.210909 403.6375)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(128.203125 39.046875)scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#maf19019778" x="227.563636" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_2"> + <!-- $\mathdefault{10^{1}}$ --> + <g transform="translate(213.483636 403.6375)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(128.203125 38.965625)scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#maf19019778" x="362.836364" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_3"> + <!-- $\mathdefault{10^{2}}$ --> + <g transform="translate(348.756364 403.6375)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(128.203125 39.046875)scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#maf19019778" x="498.109091" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_4"> + <!-- $\mathdefault{10^{3}}$ --> + <g transform="translate(484.029091 403.6375)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(128.203125 39.046875)scale(0.7)"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <defs> + <path id="me2635e16fa" d="M 0 0 +L 0 2 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#me2635e16fa" x="79.181627" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#me2635e16fa" x="86.101169" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_7"> + <g id="line2d_7"> + <g> + <use xlink:href="#me2635e16fa" x="133.012058" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_8"> + <g id="line2d_8"> + <g> + <use xlink:href="#me2635e16fa" x="156.832402" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_9"> + <g id="line2d_9"> + <g> + <use xlink:href="#me2635e16fa" x="173.733206" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_10"> + <g id="line2d_10"> + <g> + <use xlink:href="#me2635e16fa" x="186.842488" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_11"> + <g id="line2d_11"> + <g> + <use xlink:href="#me2635e16fa" x="197.553551" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_12"> + <g id="line2d_12"> + <g> + <use xlink:href="#me2635e16fa" x="206.609626" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_13"> + <g id="line2d_13"> + <g> + <use xlink:href="#me2635e16fa" x="214.454355" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_14"> + <g id="line2d_14"> + <g> + <use xlink:href="#me2635e16fa" x="221.373896" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_15"> + <g id="line2d_15"> + <g> + <use xlink:href="#me2635e16fa" x="268.284785" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_16"> + <g id="line2d_16"> + <g> + <use xlink:href="#me2635e16fa" x="292.10513" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_17"> + <g id="line2d_17"> + <g> + <use xlink:href="#me2635e16fa" x="309.005933" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_18"> + <g id="line2d_18"> + <g> + <use xlink:href="#me2635e16fa" x="322.115215" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_19"> + <g id="line2d_19"> + <g> + <use xlink:href="#me2635e16fa" x="332.826278" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_20"> + <g id="line2d_20"> + <g> + <use xlink:href="#me2635e16fa" x="341.882353" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_21"> + <g id="line2d_21"> + <g> + <use xlink:href="#me2635e16fa" x="349.727082" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_22"> + <g id="line2d_22"> + <g> + <use xlink:href="#me2635e16fa" x="356.646623" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_23"> + <g id="line2d_23"> + <g> + <use xlink:href="#me2635e16fa" x="403.557512" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_24"> + <g id="line2d_24"> + <g> + <use xlink:href="#me2635e16fa" x="427.377857" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_25"> + <g id="line2d_25"> + <g> + <use xlink:href="#me2635e16fa" x="444.278661" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_26"> + <g id="line2d_26"> + <g> + <use xlink:href="#me2635e16fa" x="457.387942" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_27"> + <g id="line2d_27"> + <g> + <use xlink:href="#me2635e16fa" x="468.099006" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_28"> + <g id="line2d_28"> + <g> + <use xlink:href="#me2635e16fa" x="477.15508" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_29"> + <g id="line2d_29"> + <g> + <use xlink:href="#me2635e16fa" x="484.999809" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="xtick_30"> + <g id="line2d_30"> + <g> + <use xlink:href="#me2635e16fa" x="491.91935" y="384.48" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_5"> + <!-- Fatalities, N --> + <g transform="translate(248.42375 423.1225)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-46" d="M 628 4666 +L 3309 4666 +L 3309 4134 +L 1259 4134 +L 1259 2759 +L 3109 2759 +L 3109 2228 +L 1259 2228 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-61" d="M 2194 1759 +Q 1497 1759 1228 1600 +Q 959 1441 959 1056 +Q 959 750 1161 570 +Q 1363 391 1709 391 +Q 2188 391 2477 730 +Q 2766 1069 2766 1631 +L 2766 1759 +L 2194 1759 +z +M 3341 1997 +L 3341 0 +L 2766 0 +L 2766 531 +Q 2569 213 2275 61 +Q 1981 -91 1556 -91 +Q 1019 -91 701 211 +Q 384 513 384 1019 +Q 384 1609 779 1909 +Q 1175 2209 1959 2209 +L 2766 2209 +L 2766 2266 +Q 2766 2663 2505 2880 +Q 2244 3097 1772 3097 +Q 1472 3097 1187 3025 +Q 903 2953 641 2809 +L 641 3341 +Q 956 3463 1253 3523 +Q 1550 3584 1831 3584 +Q 2591 3584 2966 3190 +Q 3341 2797 3341 1997 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-74" d="M 1172 4494 +L 1172 3500 +L 2356 3500 +L 2356 3053 +L 1172 3053 +L 1172 1153 +Q 1172 725 1289 603 +Q 1406 481 1766 481 +L 2356 481 +L 2356 0 +L 1766 0 +Q 1100 0 847 248 +Q 594 497 594 1153 +L 594 3053 +L 172 3053 +L 172 3500 +L 594 3500 +L 594 4494 +L 1172 4494 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6c" d="M 603 4863 +L 1178 4863 +L 1178 0 +L 603 0 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-69" d="M 603 3500 +L 1178 3500 +L 1178 0 +L 603 0 +L 603 3500 +z +M 603 4863 +L 1178 4863 +L 1178 4134 +L 603 4134 +L 603 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-65" d="M 3597 1894 +L 3597 1613 +L 953 1613 +Q 991 1019 1311 708 +Q 1631 397 2203 397 +Q 2534 397 2845 478 +Q 3156 559 3463 722 +L 3463 178 +Q 3153 47 2828 -22 +Q 2503 -91 2169 -91 +Q 1331 -91 842 396 +Q 353 884 353 1716 +Q 353 2575 817 3079 +Q 1281 3584 2069 3584 +Q 2775 3584 3186 3129 +Q 3597 2675 3597 1894 +z +M 3022 2063 +Q 3016 2534 2758 2815 +Q 2500 3097 2075 3097 +Q 1594 3097 1305 2825 +Q 1016 2553 972 2059 +L 3022 2063 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-73" d="M 2834 3397 +L 2834 2853 +Q 2591 2978 2328 3040 +Q 2066 3103 1784 3103 +Q 1356 3103 1142 2972 +Q 928 2841 928 2578 +Q 928 2378 1081 2264 +Q 1234 2150 1697 2047 +L 1894 2003 +Q 2506 1872 2764 1633 +Q 3022 1394 3022 966 +Q 3022 478 2636 193 +Q 2250 -91 1575 -91 +Q 1294 -91 989 -36 +Q 684 19 347 128 +L 347 722 +Q 666 556 975 473 +Q 1284 391 1588 391 +Q 1994 391 2212 530 +Q 2431 669 2431 922 +Q 2431 1156 2273 1281 +Q 2116 1406 1581 1522 +L 1381 1569 +Q 847 1681 609 1914 +Q 372 2147 372 2553 +Q 372 3047 722 3315 +Q 1072 3584 1716 3584 +Q 2034 3584 2315 3537 +Q 2597 3491 2834 3397 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2c" d="M 750 794 +L 1409 794 +L 1409 256 +L 897 -744 +L 494 -744 +L 750 256 +L 750 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-20" transform="scale(0.015625)"/> + <path id="DejaVuSans-4e" d="M 628 4666 +L 1478 4666 +L 3547 763 +L 3547 4666 +L 4159 4666 +L 4159 0 +L 3309 0 +L 1241 3903 +L 1241 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-46"/> + <use xlink:href="#DejaVuSans-61" x="48.394531"/> + <use xlink:href="#DejaVuSans-74" x="109.673828"/> + <use xlink:href="#DejaVuSans-61" x="148.882812"/> + <use xlink:href="#DejaVuSans-6c" x="210.162109"/> + <use xlink:href="#DejaVuSans-69" x="237.945312"/> + <use xlink:href="#DejaVuSans-74" x="265.728516"/> + <use xlink:href="#DejaVuSans-69" x="304.9375"/> + <use xlink:href="#DejaVuSans-65" x="332.720703"/> + <use xlink:href="#DejaVuSans-73" x="394.244141"/> + <use xlink:href="#DejaVuSans-2c" x="446.34375"/> + <use xlink:href="#DejaVuSans-20" x="478.130859"/> + <use xlink:href="#DejaVuSans-4e" x="509.917969"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_31"> + <defs> + <path id="md9ea9cfa22" d="M 0 0 +L -3.5 0 +" style="stroke: #000000; stroke-width: 0.8"/> + </defs> + <g> + <use xlink:href="#md9ea9cfa22" x="72" y="384.48" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_6"> + <!-- $\mathdefault{10^{-7}}$ --> + <g transform="translate(27.4 390.55875)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-37" d="M 525 4666 +L 3525 4666 +L 3525 4397 +L 1831 0 +L 1172 0 +L 2766 4134 +L 525 4134 +L 525 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-37" transform="translate(186.855469 38.965625)scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_32"> + <g> + <use xlink:href="#md9ea9cfa22" x="72" y="336.96" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_7"> + <!-- $\mathdefault{10^{-6}}$ --> + <g transform="translate(27.4 343.03875)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-36" transform="translate(186.855469 39.046875)scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_33"> + <g> + <use xlink:href="#md9ea9cfa22" x="72" y="289.44" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_8"> + <!-- $\mathdefault{10^{-5}}$ --> + <g transform="translate(27.4 295.51875)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-35" d="M 691 4666 +L 3169 4666 +L 3169 4134 +L 1269 4134 +L 1269 2991 +Q 1406 3038 1543 3061 +Q 1681 3084 1819 3084 +Q 2600 3084 3056 2656 +Q 3513 2228 3513 1497 +Q 3513 744 3044 326 +Q 2575 -91 1722 -91 +Q 1428 -91 1123 -41 +Q 819 9 494 109 +L 494 744 +Q 775 591 1075 516 +Q 1375 441 1709 441 +Q 2250 441 2565 725 +Q 2881 1009 2881 1497 +Q 2881 1984 2565 2268 +Q 2250 2553 1709 2553 +Q 1456 2553 1204 2497 +Q 953 2441 691 2322 +L 691 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-35" transform="translate(186.855469 38.965625)scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_34"> + <g> + <use xlink:href="#md9ea9cfa22" x="72" y="241.92" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_9"> + <!-- $\mathdefault{10^{-4}}$ --> + <g transform="translate(27.4 247.99875)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-34" transform="translate(186.855469 38.965625)scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_35"> + <g> + <use xlink:href="#md9ea9cfa22" x="72" y="194.4" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_10"> + <!-- $\mathdefault{10^{-3}}$ --> + <g transform="translate(27.4 200.47875)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(186.855469 39.046875)scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_36"> + <g> + <use xlink:href="#md9ea9cfa22" x="72" y="146.88" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_11"> + <!-- $\mathdefault{10^{-2}}$ --> + <g transform="translate(27.4 152.95875)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 39.046875)scale(0.7)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(186.855469 39.046875)scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_7"> + <g id="line2d_37"> + <g> + <use xlink:href="#md9ea9cfa22" x="72" y="99.36" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_12"> + <!-- $\mathdefault{10^{-1}}$ --> + <g transform="translate(27.4 105.43875)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.684375)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.684375)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(128.203125 38.965625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(186.855469 38.965625)scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_8"> + <g id="line2d_38"> + <g> + <use xlink:href="#md9ea9cfa22" x="72" y="51.84" style="stroke: #000000; stroke-width: 0.8"/> + </g> + </g> + <g id="text_13"> + <!-- $\mathdefault{10^{0}}$ --> + <g transform="translate(36.84 57.91875)scale(0.16 -0.16)"> + <use xlink:href="#DejaVuSans-31" transform="translate(0 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(63.623047 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(128.203125 39.046875)scale(0.7)"/> + </g> + </g> + </g> + <g id="ytick_9"> + <g id="line2d_39"> + <defs> + <path id="m0762367e03" d="M 0 0 +L -2 0 +" style="stroke: #000000; stroke-width: 0.6"/> + </defs> + <g> + <use xlink:href="#m0762367e03" x="72" y="370.175055" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_10"> + <g id="line2d_40"> + <g> + <use xlink:href="#m0762367e03" x="72" y="361.807198" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_11"> + <g id="line2d_41"> + <g> + <use xlink:href="#m0762367e03" x="72" y="355.870109" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_12"> + <g id="line2d_42"> + <g> + <use xlink:href="#m0762367e03" x="72" y="351.264945" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_13"> + <g id="line2d_43"> + <g> + <use xlink:href="#m0762367e03" x="72" y="347.502253" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_14"> + <g id="line2d_44"> + <g> + <use xlink:href="#m0762367e03" x="72" y="344.320941" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_15"> + <g id="line2d_45"> + <g> + <use xlink:href="#m0762367e03" x="72" y="341.565164" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_16"> + <g id="line2d_46"> + <g> + <use xlink:href="#m0762367e03" x="72" y="339.134396" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_17"> + <g id="line2d_47"> + <g> + <use xlink:href="#m0762367e03" x="72" y="322.655055" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_18"> + <g id="line2d_48"> + <g> + <use xlink:href="#m0762367e03" x="72" y="314.287198" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_19"> + <g id="line2d_49"> + <g> + <use xlink:href="#m0762367e03" x="72" y="308.350109" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_20"> + <g id="line2d_50"> + <g> + <use xlink:href="#m0762367e03" x="72" y="303.744945" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_21"> + <g id="line2d_51"> + <g> + <use xlink:href="#m0762367e03" x="72" y="299.982253" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_22"> + <g id="line2d_52"> + <g> + <use xlink:href="#m0762367e03" x="72" y="296.800941" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_23"> + <g id="line2d_53"> + <g> + <use xlink:href="#m0762367e03" x="72" y="294.045164" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_24"> + <g id="line2d_54"> + <g> + <use xlink:href="#m0762367e03" x="72" y="291.614396" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_25"> + <g id="line2d_55"> + <g> + <use xlink:href="#m0762367e03" x="72" y="275.135055" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_26"> + <g id="line2d_56"> + <g> + <use xlink:href="#m0762367e03" x="72" y="266.767198" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_27"> + <g id="line2d_57"> + <g> + <use xlink:href="#m0762367e03" x="72" y="260.830109" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_28"> + <g id="line2d_58"> + <g> + <use xlink:href="#m0762367e03" x="72" y="256.224945" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_29"> + <g id="line2d_59"> + <g> + <use xlink:href="#m0762367e03" x="72" y="252.462253" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_30"> + <g id="line2d_60"> + <g> + <use xlink:href="#m0762367e03" x="72" y="249.280941" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_31"> + <g id="line2d_61"> + <g> + <use xlink:href="#m0762367e03" x="72" y="246.525164" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_32"> + <g id="line2d_62"> + <g> + <use xlink:href="#m0762367e03" x="72" y="244.094396" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_33"> + <g id="line2d_63"> + <g> + <use xlink:href="#m0762367e03" x="72" y="227.615055" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_34"> + <g id="line2d_64"> + <g> + <use xlink:href="#m0762367e03" x="72" y="219.247198" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_35"> + <g id="line2d_65"> + <g> + <use xlink:href="#m0762367e03" x="72" y="213.310109" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_36"> + <g id="line2d_66"> + <g> + <use xlink:href="#m0762367e03" x="72" y="208.704945" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_37"> + <g id="line2d_67"> + <g> + <use xlink:href="#m0762367e03" x="72" y="204.942253" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_38"> + <g id="line2d_68"> + <g> + <use xlink:href="#m0762367e03" x="72" y="201.760941" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_39"> + <g id="line2d_69"> + <g> + <use xlink:href="#m0762367e03" x="72" y="199.005164" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_40"> + <g id="line2d_70"> + <g> + <use xlink:href="#m0762367e03" x="72" y="196.574396" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_41"> + <g id="line2d_71"> + <g> + <use xlink:href="#m0762367e03" x="72" y="180.095055" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_42"> + <g id="line2d_72"> + <g> + <use xlink:href="#m0762367e03" x="72" y="171.727198" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_43"> + <g id="line2d_73"> + <g> + <use xlink:href="#m0762367e03" x="72" y="165.790109" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_44"> + <g id="line2d_74"> + <g> + <use xlink:href="#m0762367e03" x="72" y="161.184945" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_45"> + <g id="line2d_75"> + <g> + <use xlink:href="#m0762367e03" x="72" y="157.422253" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_46"> + <g id="line2d_76"> + <g> + <use xlink:href="#m0762367e03" x="72" y="154.240941" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_47"> + <g id="line2d_77"> + <g> + <use xlink:href="#m0762367e03" x="72" y="151.485164" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_48"> + <g id="line2d_78"> + <g> + <use xlink:href="#m0762367e03" x="72" y="149.054396" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_49"> + <g id="line2d_79"> + <g> + <use xlink:href="#m0762367e03" x="72" y="132.575055" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_50"> + <g id="line2d_80"> + <g> + <use xlink:href="#m0762367e03" x="72" y="124.207198" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_51"> + <g id="line2d_81"> + <g> + <use xlink:href="#m0762367e03" x="72" y="118.270109" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_52"> + <g id="line2d_82"> + <g> + <use xlink:href="#m0762367e03" x="72" y="113.664945" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_53"> + <g id="line2d_83"> + <g> + <use xlink:href="#m0762367e03" x="72" y="109.902253" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_54"> + <g id="line2d_84"> + <g> + <use xlink:href="#m0762367e03" x="72" y="106.720941" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_55"> + <g id="line2d_85"> + <g> + <use xlink:href="#m0762367e03" x="72" y="103.965164" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_56"> + <g id="line2d_86"> + <g> + <use xlink:href="#m0762367e03" x="72" y="101.534396" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_57"> + <g id="line2d_87"> + <g> + <use xlink:href="#m0762367e03" x="72" y="85.055055" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_58"> + <g id="line2d_88"> + <g> + <use xlink:href="#m0762367e03" x="72" y="76.687198" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_59"> + <g id="line2d_89"> + <g> + <use xlink:href="#m0762367e03" x="72" y="70.750109" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_60"> + <g id="line2d_90"> + <g> + <use xlink:href="#m0762367e03" x="72" y="66.144945" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_61"> + <g id="line2d_91"> + <g> + <use xlink:href="#m0762367e03" x="72" y="62.382253" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_62"> + <g id="line2d_92"> + <g> + <use xlink:href="#m0762367e03" x="72" y="59.200941" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_63"> + <g id="line2d_93"> + <g> + <use xlink:href="#m0762367e03" x="72" y="56.445164" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="ytick_64"> + <g id="line2d_94"> + <g> + <use xlink:href="#m0762367e03" x="72" y="54.014396" style="stroke: #000000; stroke-width: 0.6"/> + </g> + </g> + </g> + <g id="text_14"> + <!-- Probability of Exceedance, $1-F_N(n)$ --> + <g transform="translate(20.04 362.32)rotate(-90)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-50" d="M 1259 4147 +L 1259 2394 +L 2053 2394 +Q 2494 2394 2734 2622 +Q 2975 2850 2975 3272 +Q 2975 3691 2734 3919 +Q 2494 4147 2053 4147 +L 1259 4147 +z +M 628 4666 +L 2053 4666 +Q 2838 4666 3239 4311 +Q 3641 3956 3641 3272 +Q 3641 2581 3239 2228 +Q 2838 1875 2053 1875 +L 1259 1875 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-72" d="M 2631 2963 +Q 2534 3019 2420 3045 +Q 2306 3072 2169 3072 +Q 1681 3072 1420 2755 +Q 1159 2438 1159 1844 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1341 3275 1631 3429 +Q 1922 3584 2338 3584 +Q 2397 3584 2469 3576 +Q 2541 3569 2628 3553 +L 2631 2963 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6f" d="M 1959 3097 +Q 1497 3097 1228 2736 +Q 959 2375 959 1747 +Q 959 1119 1226 758 +Q 1494 397 1959 397 +Q 2419 397 2687 759 +Q 2956 1122 2956 1747 +Q 2956 2369 2687 2733 +Q 2419 3097 1959 3097 +z +M 1959 3584 +Q 2709 3584 3137 3096 +Q 3566 2609 3566 1747 +Q 3566 888 3137 398 +Q 2709 -91 1959 -91 +Q 1206 -91 779 398 +Q 353 888 353 1747 +Q 353 2609 779 3096 +Q 1206 3584 1959 3584 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-62" d="M 3116 1747 +Q 3116 2381 2855 2742 +Q 2594 3103 2138 3103 +Q 1681 3103 1420 2742 +Q 1159 2381 1159 1747 +Q 1159 1113 1420 752 +Q 1681 391 2138 391 +Q 2594 391 2855 752 +Q 3116 1113 3116 1747 +z +M 1159 2969 +Q 1341 3281 1617 3432 +Q 1894 3584 2278 3584 +Q 2916 3584 3314 3078 +Q 3713 2572 3713 1747 +Q 3713 922 3314 415 +Q 2916 -91 2278 -91 +Q 1894 -91 1617 61 +Q 1341 213 1159 525 +L 1159 0 +L 581 0 +L 581 4863 +L 1159 4863 +L 1159 2969 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-79" d="M 2059 -325 +Q 1816 -950 1584 -1140 +Q 1353 -1331 966 -1331 +L 506 -1331 +L 506 -850 +L 844 -850 +Q 1081 -850 1212 -737 +Q 1344 -625 1503 -206 +L 1606 56 +L 191 3500 +L 800 3500 +L 1894 763 +L 2988 3500 +L 3597 3500 +L 2059 -325 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-66" d="M 2375 4863 +L 2375 4384 +L 1825 4384 +Q 1516 4384 1395 4259 +Q 1275 4134 1275 3809 +L 1275 3500 +L 2222 3500 +L 2222 3053 +L 1275 3053 +L 1275 0 +L 697 0 +L 697 3053 +L 147 3053 +L 147 3500 +L 697 3500 +L 697 3744 +Q 697 4328 969 4595 +Q 1241 4863 1831 4863 +L 2375 4863 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-45" d="M 628 4666 +L 3578 4666 +L 3578 4134 +L 1259 4134 +L 1259 2753 +L 3481 2753 +L 3481 2222 +L 1259 2222 +L 1259 531 +L 3634 531 +L 3634 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-78" d="M 3513 3500 +L 2247 1797 +L 3578 0 +L 2900 0 +L 1881 1375 +L 863 0 +L 184 0 +L 1544 1831 +L 300 3500 +L 978 3500 +L 1906 2253 +L 2834 3500 +L 3513 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-63" d="M 3122 3366 +L 3122 2828 +Q 2878 2963 2633 3030 +Q 2388 3097 2138 3097 +Q 1578 3097 1268 2742 +Q 959 2388 959 1747 +Q 959 1106 1268 751 +Q 1578 397 2138 397 +Q 2388 397 2633 464 +Q 2878 531 3122 666 +L 3122 134 +Q 2881 22 2623 -34 +Q 2366 -91 2075 -91 +Q 1284 -91 818 406 +Q 353 903 353 1747 +Q 353 2603 823 3093 +Q 1294 3584 2113 3584 +Q 2378 3584 2631 3529 +Q 2884 3475 3122 3366 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-64" d="M 2906 2969 +L 2906 4863 +L 3481 4863 +L 3481 0 +L 2906 0 +L 2906 525 +Q 2725 213 2448 61 +Q 2172 -91 1784 -91 +Q 1150 -91 751 415 +Q 353 922 353 1747 +Q 353 2572 751 3078 +Q 1150 3584 1784 3584 +Q 2172 3584 2448 3432 +Q 2725 3281 2906 2969 +z +M 947 1747 +Q 947 1113 1208 752 +Q 1469 391 1925 391 +Q 2381 391 2643 752 +Q 2906 1113 2906 1747 +Q 2906 2381 2643 2742 +Q 2381 3103 1925 3103 +Q 1469 3103 1208 2742 +Q 947 2381 947 1747 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6e" d="M 3513 2113 +L 3513 0 +L 2938 0 +L 2938 2094 +Q 2938 2591 2744 2837 +Q 2550 3084 2163 3084 +Q 1697 3084 1428 2787 +Q 1159 2491 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1366 3272 1645 3428 +Q 1925 3584 2291 3584 +Q 2894 3584 3203 3211 +Q 3513 2838 3513 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-46" d="M 1081 4666 +L 3756 4666 +L 3653 4134 +L 1606 4134 +L 1338 2759 +L 3188 2759 +L 3084 2228 +L 1234 2228 +L 800 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-6e" d="M 3566 2113 +L 3156 0 +L 2578 0 +L 2988 2091 +Q 3016 2238 3031 2350 +Q 3047 2463 3047 2528 +Q 3047 2791 2881 2937 +Q 2716 3084 2419 3084 +Q 1956 3084 1622 2776 +Q 1288 2469 1184 1941 +L 800 0 +L 225 0 +L 903 3500 +L 1478 3500 +L 1363 2950 +Q 1603 3253 1940 3418 +Q 2278 3584 2650 3584 +Q 3113 3584 3367 3334 +Q 3622 3084 3622 2631 +Q 3622 2519 3608 2391 +Q 3594 2263 3566 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-50" transform="translate(0 0.015625)"/> + <use xlink:href="#DejaVuSans-72" transform="translate(60.302734 0.015625)"/> + <use xlink:href="#DejaVuSans-6f" transform="translate(101.416016 0.015625)"/> + <use xlink:href="#DejaVuSans-62" transform="translate(162.597656 0.015625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(226.074219 0.015625)"/> + <use xlink:href="#DejaVuSans-62" transform="translate(287.353516 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(350.830078 0.015625)"/> + <use xlink:href="#DejaVuSans-6c" transform="translate(378.613281 0.015625)"/> + <use xlink:href="#DejaVuSans-69" transform="translate(406.396484 0.015625)"/> + <use xlink:href="#DejaVuSans-74" transform="translate(434.179688 0.015625)"/> + <use xlink:href="#DejaVuSans-79" transform="translate(473.388672 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(532.568359 0.015625)"/> + <use xlink:href="#DejaVuSans-6f" transform="translate(564.355469 0.015625)"/> + <use xlink:href="#DejaVuSans-66" transform="translate(625.537109 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(660.742188 0.015625)"/> + <use xlink:href="#DejaVuSans-45" transform="translate(692.529297 0.015625)"/> + <use xlink:href="#DejaVuSans-78" transform="translate(755.712891 0.015625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(814.892578 0.015625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(869.873047 0.015625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(931.396484 0.015625)"/> + <use xlink:href="#DejaVuSans-64" transform="translate(992.919922 0.015625)"/> + <use xlink:href="#DejaVuSans-61" transform="translate(1056.396484 0.015625)"/> + <use xlink:href="#DejaVuSans-6e" transform="translate(1117.675781 0.015625)"/> + <use xlink:href="#DejaVuSans-63" transform="translate(1181.054688 0.015625)"/> + <use xlink:href="#DejaVuSans-65" transform="translate(1236.035156 0.015625)"/> + <use xlink:href="#DejaVuSans-2c" transform="translate(1297.558594 0.015625)"/> + <use xlink:href="#DejaVuSans-20" transform="translate(1329.345703 0.015625)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(1361.132812 0.015625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1444.238281 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-46" transform="translate(1547.509766 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(1605.029297 -16.390625)scale(0.7)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(1660.126953 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(1699.140625 0.015625)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(1762.519531 0.015625)"/> + </g> + </g> + </g> + <g id="line2d_95"> + <path d="M 92.290909 97.185604 +L 498.109091 382.305604 +L 498.109091 382.305604 +" clip-path="url(#pad2695e73d)" style="fill: none; stroke: #00a6d6; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="line2d_96"> + <path d="M 92.290909 198.370108 +L 498.109091 340.930108 +L 498.109091 340.930108 +" clip-path="url(#pad2695e73d)" style="fill: none; stroke: #ff0000; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="line2d_97"> + <path d="M 72 241.92 +L 518.4 241.92 +" clip-path="url(#pad2695e73d)" style="fill: none; stroke: #008000; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 72 384.48 +L 72 51.84 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 518.4 384.48 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 72 384.48 +L 518.4 384.48 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 72 51.84 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="legend_1"> + <g id="patch_7"> + <path d="M 339.8275 135.095 +L 507.2 135.095 +Q 510.4 135.095 510.4 131.895 +L 510.4 63.04 +Q 510.4 59.84 507.2 59.84 +L 339.8275 59.84 +Q 336.6275 59.84 336.6275 63.04 +L 336.6275 131.895 +Q 336.6275 135.095 339.8275 135.095 +z +" style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/> + </g> + <g id="line2d_98"> + <path d="M 343.0275 72.7975 +L 359.0275 72.7975 +L 375.0275 72.7975 +" style="fill: none; stroke: #00a6d6; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_15"> + <!-- Societal Risk --> + <g transform="translate(387.8275 78.3975)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-53" d="M 3425 4513 +L 3425 3897 +Q 3066 4069 2747 4153 +Q 2428 4238 2131 4238 +Q 1616 4238 1336 4038 +Q 1056 3838 1056 3469 +Q 1056 3159 1242 3001 +Q 1428 2844 1947 2747 +L 2328 2669 +Q 3034 2534 3370 2195 +Q 3706 1856 3706 1288 +Q 3706 609 3251 259 +Q 2797 -91 1919 -91 +Q 1588 -91 1214 -16 +Q 841 59 441 206 +L 441 856 +Q 825 641 1194 531 +Q 1563 422 1919 422 +Q 2459 422 2753 634 +Q 3047 847 3047 1241 +Q 3047 1584 2836 1778 +Q 2625 1972 2144 2069 +L 1759 2144 +Q 1053 2284 737 2584 +Q 422 2884 422 3419 +Q 422 4038 858 4394 +Q 1294 4750 2059 4750 +Q 2388 4750 2728 4690 +Q 3069 4631 3425 4513 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-52" d="M 2841 2188 +Q 3044 2119 3236 1894 +Q 3428 1669 3622 1275 +L 4263 0 +L 3584 0 +L 2988 1197 +Q 2756 1666 2539 1819 +Q 2322 1972 1947 1972 +L 1259 1972 +L 1259 0 +L 628 0 +L 628 4666 +L 2053 4666 +Q 2853 4666 3247 4331 +Q 3641 3997 3641 3322 +Q 3641 2881 3436 2590 +Q 3231 2300 2841 2188 +z +M 1259 4147 +L 1259 2491 +L 2053 2491 +Q 2509 2491 2742 2702 +Q 2975 2913 2975 3322 +Q 2975 3731 2742 3939 +Q 2509 4147 2053 4147 +L 1259 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-6b" d="M 581 4863 +L 1159 4863 +L 1159 1991 +L 2875 3500 +L 3609 3500 +L 1753 1863 +L 3688 0 +L 2938 0 +L 1159 1709 +L 1159 0 +L 581 0 +L 581 4863 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-53"/> + <use xlink:href="#DejaVuSans-6f" x="63.476562"/> + <use xlink:href="#DejaVuSans-63" x="124.658203"/> + <use xlink:href="#DejaVuSans-69" x="179.638672"/> + <use xlink:href="#DejaVuSans-65" x="207.421875"/> + <use xlink:href="#DejaVuSans-74" x="268.945312"/> + <use xlink:href="#DejaVuSans-61" x="308.154297"/> + <use xlink:href="#DejaVuSans-6c" x="369.433594"/> + <use xlink:href="#DejaVuSans-20" x="397.216797"/> + <use xlink:href="#DejaVuSans-52" x="429.003906"/> + <use xlink:href="#DejaVuSans-69" x="498.486328"/> + <use xlink:href="#DejaVuSans-73" x="526.269531"/> + <use xlink:href="#DejaVuSans-6b" x="578.369141"/> + </g> + </g> + <g id="line2d_99"> + <path d="M 343.0275 96.2825 +L 359.0275 96.2825 +L 375.0275 96.2825 +" style="fill: none; stroke: #ff0000; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_16"> + <!-- Economic Risk --> + <g transform="translate(387.8275 101.8825)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-6d" d="M 3328 2828 +Q 3544 3216 3844 3400 +Q 4144 3584 4550 3584 +Q 5097 3584 5394 3201 +Q 5691 2819 5691 2113 +L 5691 0 +L 5113 0 +L 5113 2094 +Q 5113 2597 4934 2840 +Q 4756 3084 4391 3084 +Q 3944 3084 3684 2787 +Q 3425 2491 3425 1978 +L 3425 0 +L 2847 0 +L 2847 2094 +Q 2847 2600 2669 2842 +Q 2491 3084 2119 3084 +Q 1678 3084 1418 2786 +Q 1159 2488 1159 1978 +L 1159 0 +L 581 0 +L 581 3500 +L 1159 3500 +L 1159 2956 +Q 1356 3278 1631 3431 +Q 1906 3584 2284 3584 +Q 2666 3584 2933 3390 +Q 3200 3197 3328 2828 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-45"/> + <use xlink:href="#DejaVuSans-63" x="63.183594"/> + <use xlink:href="#DejaVuSans-6f" x="118.164062"/> + <use xlink:href="#DejaVuSans-6e" x="179.345703"/> + <use xlink:href="#DejaVuSans-6f" x="242.724609"/> + <use xlink:href="#DejaVuSans-6d" x="303.90625"/> + <use xlink:href="#DejaVuSans-69" x="401.318359"/> + <use xlink:href="#DejaVuSans-63" x="429.101562"/> + <use xlink:href="#DejaVuSans-20" x="484.082031"/> + <use xlink:href="#DejaVuSans-52" x="515.869141"/> + <use xlink:href="#DejaVuSans-69" x="585.351562"/> + <use xlink:href="#DejaVuSans-73" x="613.134766"/> + <use xlink:href="#DejaVuSans-6b" x="665.234375"/> + </g> + </g> + <g id="line2d_100"> + <path d="M 343.0275 119.7675 +L 359.0275 119.7675 +L 375.0275 119.7675 +" style="fill: none; stroke: #008000; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_17"> + <!-- Individual Risk --> + <g transform="translate(387.8275 125.3675)scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-49" d="M 628 4666 +L 1259 4666 +L 1259 0 +L 628 0 +L 628 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-76" d="M 191 3500 +L 800 3500 +L 1894 563 +L 2988 3500 +L 3597 3500 +L 2284 0 +L 1503 0 +L 191 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-75" d="M 544 1381 +L 544 3500 +L 1119 3500 +L 1119 1403 +Q 1119 906 1312 657 +Q 1506 409 1894 409 +Q 2359 409 2629 706 +Q 2900 1003 2900 1516 +L 2900 3500 +L 3475 3500 +L 3475 0 +L 2900 0 +L 2900 538 +Q 2691 219 2414 64 +Q 2138 -91 1772 -91 +Q 1169 -91 856 284 +Q 544 659 544 1381 +z +M 1991 3584 +L 1991 3584 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-49"/> + <use xlink:href="#DejaVuSans-6e" x="29.492188"/> + <use xlink:href="#DejaVuSans-64" x="92.871094"/> + <use xlink:href="#DejaVuSans-69" x="156.347656"/> + <use xlink:href="#DejaVuSans-76" x="184.130859"/> + <use xlink:href="#DejaVuSans-69" x="243.310547"/> + <use xlink:href="#DejaVuSans-64" x="271.09375"/> + <use xlink:href="#DejaVuSans-75" x="334.570312"/> + <use xlink:href="#DejaVuSans-61" x="397.949219"/> + <use xlink:href="#DejaVuSans-6c" x="459.228516"/> + <use xlink:href="#DejaVuSans-20" x="487.011719"/> + <use xlink:href="#DejaVuSans-52" x="518.798828"/> + <use xlink:href="#DejaVuSans-69" x="588.28125"/> + <use xlink:href="#DejaVuSans-73" x="616.064453"/> + <use xlink:href="#DejaVuSans-6b" x="668.164062"/> + </g> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="pad2695e73d"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/book/figures/simple-city.png b/book/figures/simple-city.png new file mode 100644 index 0000000..6cbfd7e Binary files /dev/null and b/book/figures/simple-city.png differ diff --git a/book/figures/sinewave.png b/book/figures/sinewave.png new file mode 100644 index 0000000..92b21ac Binary files /dev/null and b/book/figures/sinewave.png differ diff --git a/book/figures/system-corr-coeff.PNG b/book/figures/system-corr-coeff.PNG new file mode 100644 index 0000000..4009a11 Binary files /dev/null and b/book/figures/system-corr-coeff.PNG differ diff --git a/book/figures/system_lightbulbs.png b/book/figures/system_lightbulbs.png new file mode 100644 index 0000000..66f5c50 Binary files /dev/null and b/book/figures/system_lightbulbs.png differ diff --git a/book/figures/system_series_parallel.png b/book/figures/system_series_parallel.png new file mode 100644 index 0000000..c94edac Binary files /dev/null and b/book/figures/system_series_parallel.png differ diff --git a/book/figures/system_series_parallel_ex.png b/book/figures/system_series_parallel_ex.png new file mode 100644 index 0000000..a285cc5 Binary files /dev/null and b/book/figures/system_series_parallel_ex.png differ diff --git a/book/figures/temp.svg b/book/figures/temp.svg new file mode 100644 index 0000000..96d11d9 --- /dev/null +++ b/book/figures/temp.svg @@ -0,0 +1,1054 @@ +<?xml version="1.0" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 20010904//EN" + "http://www.w3.org/TR/2001/REC-SVG-20010904/DTD/svg10.dtd"> +<svg version="1.0" xmlns="http://www.w3.org/2000/svg" + width="243pt" height="259pt" viewBox="0 0 243 259" + preserveAspectRatio="xMidYMid meet"> +<metadata> +Created by potrace 1.8, written by Peter Selinger 2001-2007 +</metadata> +<g transform="translate(0,259) scale(0.120000,-0.120000)" +fill="#000000" stroke="none"> +<path d="M945 2151 c-1 -1 -1 -3 -1 -4 -1 -2 -2 -3 -2 -3 -3 0 -4 -3 -2 -10 0 +-4 1 -13 2 -21 l1 -15 -5 -14 c-10 -28 -20 -50 -34 -73 -4 -6 -8 -13 -10 -16 +-1 -4 -7 -13 -12 -21 -4 -9 -10 -18 -12 -22 -4 -8 -5 -11 -9 -17 -2 -3 -6 -10 +-9 -16 -9 -18 -13 -25 -19 -34 -3 -5 -7 -11 -8 -13 -7 -12 -21 -32 -25 -38 -3 +-3 -5 -7 -6 -8 -7 -9 -24 -32 -43 -54 -12 -14 -28 -29 -62 -59 -16 -14 -27 +-23 -32 -27 -7 -4 -17 -12 -23 -17 -4 -4 -32 -22 -41 -28 -15 -8 -49 -25 -55 +-27 -4 -1 -10 -2 -16 -2 -12 -1 -13 -2 -8 -8 2 -3 4 -4 7 -5 3 0 9 -3 24 -14 +2 -1 7 -4 10 -6 3 -2 7 -5 8 -7 2 -1 5 -3 8 -5 2 -2 7 -6 11 -9 8 -6 24 -19 +29 -22 2 -2 7 -6 13 -10 16 -13 31 -24 33 -25 4 -2 9 -6 9 -8 0 -2 -4 -1 -9 3 +-3 1 -6 3 -8 3 -1 0 -11 4 -21 10 -11 5 -23 11 -28 13 -5 2 -14 7 -20 10 -7 3 +-15 7 -18 8 -4 1 -7 3 -8 4 -2 1 -5 3 -9 5 -11 5 -21 9 -22 9 0 0 -3 2 -5 4 +-3 3 -5 4 -6 4 -3 -1 -13 3 -16 6 -1 0 -3 1 -5 2 -3 1 -16 7 -30 14 -26 13 +-29 14 -31 9 0 -3 0 -3 10 -10 4 -3 5 -4 5 -10 1 -9 1 -14 0 -32 -1 -21 -3 +-33 -5 -42 -1 -5 -4 -18 -6 -29 -2 -11 -5 -25 -6 -31 -2 -7 -3 -14 -4 -17 -1 +-3 -2 -8 -3 -12 0 -4 -2 -14 -4 -22 -2 -9 -4 -19 -4 -21 -1 -2 -2 -6 -3 -8 -1 +-6 -17 -72 -21 -87 -2 -8 -4 -17 -4 -19 0 -2 -1 -4 -1 -6 -1 -1 -2 -4 -3 -6 +-1 -2 -3 -9 -4 -14 -2 -5 -4 -13 -5 -17 -2 -9 -10 -36 -17 -61 -7 -24 -10 -35 +-13 -48 -5 -22 -15 -50 -30 -88 -12 -30 -20 -50 -26 -69 -2 -6 -5 -13 -6 -16 +-2 -4 -3 -8 -3 -10 -1 -2 -2 -4 -2 -5 -1 -1 -4 -6 -6 -11 -2 -6 -5 -13 -7 -16 +-2 -3 -7 -16 -12 -28 -14 -36 -27 -69 -30 -74 -1 -2 -6 -13 -10 -24 -5 -12 +-11 -26 -13 -31 -2 -5 -7 -16 -10 -23 -6 -16 -15 -34 -20 -42 -6 -9 -11 -17 +-13 -23 -2 -3 -5 -9 -7 -13 -3 -4 -7 -13 -10 -19 -4 -6 -7 -13 -8 -14 -6 -13 +-10 -20 -14 -24 -2 -3 -5 -7 -6 -8 -1 -2 -3 -6 -5 -8 -4 -5 -18 -27 -36 -57 +-7 -12 -14 -23 -15 -24 -2 -2 -4 -7 -7 -10 -4 -9 -8 -15 -12 -16 -1 -1 -3 -3 +-3 -5 -1 -1 -3 -4 -5 -6 -3 -4 -3 -4 -7 -3 -6 1 -16 0 -18 -3 -1 -2 -1 -6 2 +-8 2 -3 13 -4 18 -3 3 1 6 1 9 0 3 -1 14 -1 25 -1 10 -1 19 -1 20 -1 3 -2 23 +-4 46 -5 13 0 27 0 29 -1 3 -1 29 -2 52 -2 11 -1 52 -4 62 -5 5 -1 44 -3 67 +-4 10 -1 15 -2 17 -4 2 -2 10 -16 15 -26 15 -27 24 -45 26 -49 1 -3 4 -9 6 +-13 5 -10 10 -23 13 -32 4 -9 6 -14 10 -17 3 -3 3 -4 2 -9 0 -5 0 -6 4 -11 3 +-6 4 -7 3 -11 -1 -8 2 -15 6 -21 5 -5 11 -8 15 -8 2 0 5 -2 8 -4 2 -2 8 -5 12 +-8 4 -3 10 -7 13 -11 7 -5 13 -9 27 -15 4 -2 8 -4 9 -6 5 -4 0 -6 -20 -7 -39 +-2 -43 -2 -53 0 -7 1 -9 1 -10 0 -2 -1 -3 -7 -1 -7 0 0 3 -1 5 -1 8 -2 19 -2 +37 -2 17 0 38 1 39 3 1 1 2 1 4 1 1 0 4 0 6 1 8 2 21 5 25 6 2 0 5 1 8 2 2 1 +7 3 11 4 4 1 9 2 10 3 1 1 4 1 8 0 9 -2 25 -5 28 -5 2 0 7 -1 11 -2 5 -1 13 +-2 18 -2 6 -1 13 -2 16 -3 6 -1 11 -1 38 -1 17 0 34 0 38 1 5 1 26 1 48 2 22 +0 44 0 48 1 9 0 18 0 23 0 7 0 31 2 33 3 2 1 10 2 25 2 6 1 13 1 15 2 2 0 7 1 +12 1 5 1 11 2 13 2 4 1 6 1 11 0 5 -1 8 -2 9 -1 3 1 7 0 10 -3 2 0 4 -1 5 -1 +2 0 5 -1 7 -1 3 -1 9 -1 14 -1 6 -1 18 -1 27 -2 16 -1 32 -1 35 1 3 1 24 6 28 +6 1 0 3 1 5 2 4 1 4 1 12 -1 5 -1 15 -2 23 -2 7 0 14 -1 15 -1 1 -1 24 -2 51 +-2 15 0 20 1 28 2 4 1 12 3 16 4 3 0 8 2 9 2 1 1 6 1 11 1 4 1 9 1 10 2 2 1 5 +1 11 -1 1 0 3 -1 3 -3 1 -2 3 -4 8 -7 8 -6 20 -12 22 -12 1 0 4 -1 6 -3 5 -3 +14 -6 19 -6 1 0 6 -1 10 -1 9 -2 19 -1 44 5 3 0 7 1 8 1 1 0 4 2 6 4 4 3 5 3 +8 3 3 -1 8 -2 11 -4 4 -2 9 -4 12 -4 2 -1 5 -1 7 -2 9 -3 13 -5 22 -7 4 -2 9 +-4 10 -4 3 -2 19 -7 27 -8 5 -1 11 -2 16 -2 6 0 12 0 20 -2 9 -2 11 -2 17 -1 +4 1 7 1 10 0 6 -2 22 -1 33 0 7 1 10 1 14 0 4 -1 4 -1 7 1 1 1 2 4 3 6 0 4 2 +5 4 2 2 -2 2 -3 2 -7 -1 -5 -1 -5 -1 -9 0 -2 0 -3 -9 -5 -6 -2 -12 -3 -14 -3 +-1 0 -6 -1 -9 -2 -3 0 -8 -1 -11 -1 -3 0 -7 0 -8 0 -6 0 -15 1 -24 3 -10 3 +-13 2 -8 -1 5 -3 16 -6 25 -6 9 -1 11 -2 11 -3 0 -3 -4 -4 -12 -3 -20 2 -23 2 +-23 1 0 -1 1 -2 1 -3 3 -1 21 -2 37 -2 17 0 25 1 35 3 3 1 7 2 8 2 2 0 5 1 6 +2 3 2 3 3 1 13 0 3 0 3 4 5 2 0 5 2 7 4 3 3 25 18 32 21 2 1 7 4 11 7 3 2 6 4 +7 4 0 0 2 1 4 2 1 2 4 3 5 4 2 0 5 2 7 4 2 2 5 4 6 4 1 1 3 2 5 3 1 1 5 3 8 5 +4 3 9 6 11 7 2 2 6 5 8 6 2 1 7 4 10 7 4 2 9 5 12 7 3 1 7 4 8 5 4 3 8 5 12 6 +3 1 12 6 24 15 4 2 11 6 16 9 11 5 19 10 23 13 1 1 3 2 4 2 1 0 4 1 6 3 2 2 7 +4 9 6 2 1 6 3 9 5 2 1 5 3 7 4 2 0 4 2 5 3 3 2 12 8 19 11 2 1 6 4 10 6 3 3 6 +5 7 5 0 0 4 2 8 4 4 3 8 6 10 7 2 0 6 3 9 5 3 2 5 3 6 3 1 -1 2 -1 11 2 3 1 3 +1 5 -1 3 -3 7 -4 8 -3 1 0 2 1 2 3 1 2 1 2 3 1 3 0 6 2 6 6 0 3 3 5 6 5 2 0 +11 5 11 6 0 1 -1 2 -2 4 -1 1 -2 3 -2 4 0 4 -11 5 -15 2 -2 -2 -5 -2 -6 0 -3 +8 -8 15 -11 18 -6 6 -9 11 -28 45 -5 9 -11 18 -12 20 -2 3 -3 5 -3 5 0 1 -6 +12 -14 24 -7 13 -15 27 -17 31 -2 3 -6 9 -7 11 -9 15 -11 19 -11 20 0 0 -1 2 +-3 5 -2 2 -6 8 -9 14 -8 15 -17 30 -19 33 -1 1 -4 6 -6 11 -3 5 -7 13 -10 18 +-3 4 -8 11 -10 15 -2 4 -9 15 -15 26 -6 11 -13 23 -16 27 -2 3 -8 13 -13 22 +-5 8 -9 15 -9 16 0 0 -2 4 -5 8 -2 3 -8 13 -12 20 -4 7 -10 17 -13 22 -3 5 -6 +11 -8 13 -1 2 -4 8 -6 11 -3 4 -6 9 -7 11 -2 4 -26 45 -35 59 -2 3 -6 11 -10 +18 -4 6 -11 18 -16 26 -15 25 -20 34 -28 47 -4 7 -9 16 -12 20 -2 3 -8 14 -14 +23 -5 9 -11 18 -13 21 -2 2 -4 6 -5 9 -1 2 -4 8 -7 12 -3 5 -10 17 -16 27 -5 +9 -13 21 -15 26 -13 18 -17 25 -17 27 -1 1 -4 7 -7 13 -4 5 -10 15 -14 22 -4 +7 -9 16 -12 20 -3 3 -6 9 -8 13 -2 3 -4 8 -6 10 -2 2 -5 8 -7 12 -2 3 -7 11 +-10 16 -3 4 -7 11 -8 15 -4 7 -5 8 -27 45 -8 14 -17 28 -19 32 -2 3 -5 7 -7 +10 -2 2 -3 6 -4 7 0 3 -4 10 -9 16 -2 3 -4 6 -5 8 0 2 -3 7 -6 11 -3 4 -6 10 +-7 13 -2 2 -6 8 -9 13 -3 5 -6 11 -8 15 -2 3 -5 9 -8 13 -3 4 -5 8 -5 8 0 1 +-4 8 -9 16 -5 9 -10 17 -11 19 -1 1 -6 10 -12 20 -11 18 -13 21 -17 28 -1 2 +-3 5 -4 7 -1 1 -4 6 -8 12 -3 5 -6 11 -8 13 -1 1 -2 3 -2 4 0 1 -1 4 -3 6 -2 +2 -4 7 -6 10 -2 3 -4 7 -5 9 -2 1 -3 3 -3 4 0 0 -2 5 -5 10 -3 4 -7 11 -9 15 +-2 4 -6 11 -9 16 -10 15 -19 30 -21 35 -1 2 -4 7 -7 11 -2 3 -4 7 -4 7 0 1 -1 +3 -2 4 -4 6 -31 50 -46 78 -3 5 -8 14 -12 20 -3 5 -9 15 -13 23 -5 7 -10 15 +-12 19 -2 3 -5 8 -7 12 -8 13 -23 40 -26 44 -1 2 -4 7 -7 11 -6 11 -15 27 -16 +29 -1 1 -6 9 -11 18 -5 8 -12 20 -16 27 -4 6 -8 13 -10 15 -1 3 -6 11 -10 18 +-10 17 -16 26 -24 40 -3 5 -6 11 -7 12 -1 1 -3 4 -4 7 -2 3 -3 5 -4 6 -1 0 -2 +3 -4 6 -2 4 -6 10 -8 15 -3 5 -7 12 -9 16 -2 3 -5 8 -6 9 -2 3 -2 4 -9 55 -2 +18 -2 18 -6 19 -3 0 -4 0 -4 -1z m3 -80 c0 -2 1 -14 2 -26 1 -17 2 -23 3 -26 +2 -5 4 -16 5 -30 0 -5 1 -18 2 -28 0 -11 2 -25 2 -32 1 -8 1 -20 2 -28 3 -35 +4 -60 5 -69 0 -5 1 -12 1 -15 1 -2 2 -7 1 -10 0 -3 0 -11 1 -18 0 -8 1 -17 1 +-20 1 -13 4 -52 5 -65 0 -7 1 -13 1 -14 1 0 1 -8 1 -16 1 -9 2 -27 3 -39 1 +-13 2 -30 3 -39 2 -24 2 -26 3 -36 1 -6 1 -18 2 -27 2 -29 3 -47 4 -54 1 -4 2 +-14 2 -22 1 -9 1 -21 2 -28 0 -7 1 -19 2 -28 1 -9 1 -20 2 -25 1 -5 2 -23 3 +-39 1 -16 2 -32 3 -35 0 -3 1 -12 2 -20 0 -9 1 -22 2 -29 0 -8 2 -21 2 -28 1 +-7 2 -21 2 -30 2 -16 2 -22 0 -22 -1 0 -9 8 -11 11 -1 3 -31 33 -41 43 -4 2 +-7 6 -8 8 -1 2 -3 4 -4 5 -1 0 -4 4 -8 8 -3 4 -7 8 -9 9 -4 3 -13 11 -13 13 0 +2 -36 37 -45 45 -4 3 -8 7 -9 9 -2 1 -5 5 -9 8 -3 3 -7 7 -8 8 -1 2 -3 4 -6 6 +-11 9 -34 30 -42 39 -3 3 -12 11 -20 18 -8 7 -18 17 -22 21 -4 4 -11 11 -14 +14 -4 4 -9 8 -10 10 -1 1 -7 5 -12 9 -5 4 -11 8 -13 10 -3 2 -9 6 -15 11 -6 4 +-13 10 -15 12 -9 8 -19 16 -20 16 -1 0 -18 13 -28 20 -3 3 -7 6 -10 7 -2 1 -5 +3 -6 5 -1 2 -5 4 -7 5 -3 2 -7 5 -10 8 -3 3 -7 7 -10 8 -2 2 -6 5 -10 8 -4 4 +-8 7 -10 9 -3 2 -7 5 -9 7 -3 2 -7 5 -9 6 -4 2 -13 9 -14 11 -1 3 2 5 10 8 3 +1 8 4 11 5 2 2 8 5 12 7 4 2 9 4 10 6 2 1 4 2 5 2 3 0 21 10 23 13 2 2 6 5 10 +7 5 3 12 8 17 12 4 4 9 8 11 9 2 0 6 3 9 6 3 3 7 6 10 7 2 2 5 5 8 7 2 3 5 6 +7 7 2 1 4 3 5 3 0 1 4 4 7 8 8 6 22 18 34 30 4 4 10 9 12 11 3 3 6 6 8 8 3 5 +17 19 18 19 0 -1 -3 -7 -8 -13 -2 -2 -3 -4 -3 -5 0 0 -1 -2 -3 -4 -3 -4 -4 -6 +-3 -8 1 -1 -1 -7 -3 -7 0 0 -2 0 -3 0 -1 -1 -3 -2 -3 -3 -2 -3 -16 -16 -21 +-20 -8 -5 -15 -11 -17 -15 -1 -3 -3 -6 -5 -7 -2 -2 -4 -4 -5 -5 -1 -2 -3 -4 +-15 -12 -9 -6 -11 -9 -9 -10 2 -1 3 -1 8 1 2 2 7 5 10 8 3 3 6 6 6 6 1 0 6 5 +11 10 16 16 22 21 25 22 1 1 2 2 2 2 0 2 13 15 14 15 0 0 1 1 2 3 1 2 4 6 7 +10 8 12 11 17 10 19 -1 2 0 4 3 4 1 0 3 1 6 5 8 12 9 15 7 19 -1 1 -1 2 1 5 1 +2 3 5 4 7 1 1 2 3 4 4 1 0 3 3 5 5 1 2 4 5 6 8 7 8 9 11 14 20 3 4 6 10 8 12 +1 1 4 5 6 9 5 8 8 13 13 19 2 2 3 5 3 6 0 0 1 3 3 6 1 2 2 5 2 6 0 3 2 6 4 6 +0 0 2 2 3 3 0 2 1 4 2 5 1 0 2 3 4 6 1 3 4 8 7 12 2 4 8 14 13 23 4 8 10 19 +13 24 3 4 5 8 5 9 0 0 2 4 5 9 3 5 6 11 8 14 1 3 3 7 5 10 2 2 4 7 6 11 1 4 5 +10 7 15 5 8 10 20 12 28 1 5 4 5 5 -1z m30 -32 c3 -7 9 -16 13 -22 4 -7 13 +-23 21 -36 9 -14 18 -30 22 -36 3 -6 9 -14 11 -18 6 -10 39 -66 46 -77 5 -10 +15 -26 20 -34 2 -3 5 -9 8 -14 2 -4 9 -15 14 -24 17 -29 19 -33 27 -45 10 -19 +26 -46 37 -63 5 -9 11 -19 12 -21 2 -3 6 -9 9 -14 3 -5 7 -12 9 -15 2 -4 7 +-13 11 -19 7 -12 23 -39 29 -50 2 -2 5 -8 7 -12 3 -3 9 -14 13 -22 5 -9 10 +-16 10 -16 1 -1 4 -5 6 -9 9 -17 22 -39 24 -40 0 -1 1 -2 1 -3 0 0 1 -3 3 -5 +1 -3 4 -7 5 -9 2 -3 4 -7 6 -10 2 -3 5 -8 7 -12 4 -7 18 -31 23 -38 2 -3 5 -9 +7 -12 2 -4 5 -8 7 -10 1 -1 2 -3 2 -4 0 -1 2 -6 5 -11 3 -5 6 -9 6 -10 1 -1 +24 -41 28 -46 1 -2 3 -5 3 -5 0 -1 2 -5 5 -10 3 -5 6 -9 6 -10 0 -1 4 -7 9 +-14 4 -7 10 -17 13 -23 5 -9 18 -30 35 -59 5 -7 9 -14 9 -14 0 -1 12 -20 14 +-22 0 -1 3 -5 5 -9 2 -4 6 -12 9 -16 3 -5 7 -12 9 -15 2 -4 6 -10 8 -14 7 -10 +23 -36 30 -48 5 -10 19 -33 24 -41 1 -2 3 -6 4 -8 2 -3 8 -14 14 -22 0 -2 2 +-5 4 -7 1 -3 5 -9 8 -13 3 -4 5 -9 5 -9 0 -1 1 -4 3 -7 4 -5 16 -25 19 -30 1 +-3 4 -7 5 -10 2 -2 6 -9 9 -15 4 -5 8 -12 10 -15 2 -3 5 -9 7 -13 2 -4 6 -10 +8 -14 3 -3 6 -8 8 -11 1 -3 5 -9 8 -14 3 -5 7 -11 8 -14 3 -5 9 -14 17 -27 1 +-2 3 -6 4 -7 1 -2 2 -4 2 -5 1 -1 3 -4 5 -8 2 -4 5 -9 7 -12 2 -4 6 -11 9 -16 +4 -6 7 -11 8 -12 1 -2 3 -5 5 -9 2 -4 5 -9 7 -13 2 -3 5 -8 6 -11 5 -8 8 -13 +14 -23 4 -5 8 -12 10 -15 2 -4 4 -7 4 -8 1 -1 3 -4 5 -8 2 -4 4 -8 6 -10 3 -6 +13 -22 28 -49 8 -13 18 -30 22 -38 5 -8 11 -18 14 -23 6 -11 14 -26 20 -34 2 +-4 8 -14 12 -22 11 -19 18 -32 21 -35 1 -2 2 -3 2 -3 0 -1 20 -36 25 -44 3 -4 +6 -9 8 -10 3 -3 2 -6 -1 -6 -2 0 -21 20 -28 29 -3 4 -9 11 -13 16 -5 4 -9 10 +-10 11 -1 1 -5 6 -10 10 -8 10 -27 31 -32 36 -1 2 -5 6 -7 8 -2 2 -8 9 -13 14 +-5 5 -12 13 -16 18 -10 10 -29 31 -41 45 -5 5 -11 11 -13 13 -2 2 -4 5 -5 6 +-1 2 -15 18 -25 29 -3 2 -8 8 -12 13 -7 7 -8 9 -13 13 -1 1 -7 8 -13 15 -14 +16 -16 18 -37 41 -21 21 -43 45 -59 64 -5 6 -12 14 -16 17 -3 3 -9 10 -14 15 +-8 9 -27 29 -28 30 -1 0 -4 4 -8 8 -4 5 -13 15 -20 23 -17 17 -19 21 -14 21 3 +0 3 2 1 8 -1 3 -3 8 -4 11 -1 3 -4 7 -5 10 -2 2 -4 6 -5 8 -2 6 -7 6 -7 0 0 +-1 2 -6 6 -11 8 -16 12 -27 8 -24 -4 1 -26 28 -28 32 -1 4 -4 11 -8 24 -2 7 +-3 8 -5 5 -1 -2 -1 -4 1 -9 0 -3 1 -6 1 -7 -1 -1 -24 22 -24 24 0 0 0 1 1 2 2 +0 1 5 -4 20 -5 14 -10 32 -10 34 0 2 -4 1 -5 -1 0 -1 1 -6 3 -12 2 -6 4 -14 5 +-18 2 -5 3 -10 4 -12 1 -1 2 -4 3 -7 l0 -3 -2 2 c-5 4 -20 21 -22 26 -2 2 -5 +11 -8 19 -3 9 -6 18 -7 21 -1 3 -3 9 -4 13 -4 19 -5 22 -6 22 -1 0 -2 -2 -2 +-4 0 -5 4 -26 8 -36 2 -5 4 -10 5 -12 0 -2 1 -4 0 -4 0 -1 -5 1 -8 5 -1 1 -2 +2 -3 2 0 0 -3 3 -6 8 -5 6 -7 9 -10 19 -2 7 -5 17 -6 23 -1 5 -3 13 -4 16 -1 +4 -3 13 -4 20 -3 14 -4 16 -7 14 -1 -2 -1 -3 1 -14 3 -16 4 -20 9 -38 5 -17 6 +-21 4 -21 0 0 -2 2 -4 4 -1 2 -5 6 -8 9 -6 6 -12 18 -14 27 -1 3 -2 10 -4 15 +-5 15 -10 38 -12 55 -2 12 -3 17 -4 18 -2 1 -3 -2 -2 -8 0 -4 1 -11 1 -15 1 +-13 5 -29 12 -49 3 -9 5 -17 5 -18 0 -3 -3 -2 -6 2 -1 2 -5 5 -7 8 -3 3 -5 5 +-5 6 0 0 -1 2 -2 4 -4 5 -6 12 -13 49 -1 3 -1 7 -2 10 -1 3 -2 10 -2 15 -1 4 +-2 10 -3 12 0 2 -2 9 -3 16 -3 16 -3 16 -4 16 -1 1 -3 0 -4 0 -1 -2 -1 -2 0 +-8 2 -12 7 -38 8 -42 0 -3 1 -7 1 -8 1 -1 2 -4 2 -6 0 -3 2 -10 4 -17 5 -24 5 +-26 -2 -19 -3 3 -7 8 -11 11 l-6 7 0 7 c-1 6 -2 9 -4 13 -2 3 -3 7 -4 12 0 3 +-1 11 -2 17 -3 16 -4 27 -4 31 0 2 -1 8 -1 13 -1 4 -3 15 -4 23 -1 9 -2 15 -3 +17 l-1 2 -2 -2 c-2 -2 -2 -7 0 -18 1 -4 2 -12 3 -18 1 -6 2 -15 3 -20 1 -6 3 +-17 4 -25 0 -8 2 -18 3 -23 1 -9 1 -14 0 -14 -2 0 -8 7 -12 13 -3 5 -10 11 +-12 11 -1 0 -2 2 -4 4 -2 3 -7 8 -11 13 -5 5 -11 12 -14 16 -3 3 -8 9 -10 12 +-3 2 -7 7 -10 10 -2 2 -6 6 -7 9 -4 4 -5 7 -3 7 4 1 3 19 -1 40 -4 17 -6 26 +-8 36 0 5 -2 11 -3 14 0 2 -1 6 -1 9 0 2 -1 7 -1 9 -1 3 -3 10 -4 16 -3 26 -5 +34 -6 34 -2 0 -1 -13 2 -28 1 -6 2 -14 2 -18 1 -4 2 -11 3 -15 1 -5 3 -15 3 +-22 1 -7 3 -17 4 -21 4 -19 5 -28 6 -38 1 -16 0 -18 -7 -8 -3 3 -5 6 -6 6 -1 +0 -2 2 -3 4 -2 2 -5 6 -8 8 l-4 5 0 9 c0 4 -1 11 -1 15 -1 4 -2 11 -2 16 -1 +13 -3 24 -5 31 -2 7 -5 22 -6 29 0 3 -1 8 -1 12 -1 3 -2 7 -2 9 0 1 -1 5 -2 9 +-4 12 -7 31 -10 58 -1 12 -5 28 -7 32 -1 2 -2 5 -2 6 0 1 -1 4 -2 7 -1 3 -3 8 +-3 12 -1 3 -3 9 -4 13 -2 9 -6 23 -8 33 -4 19 -5 26 -8 33 -2 4 -4 10 -5 15 0 +4 -2 11 -4 16 -2 4 -3 9 -3 10 0 2 -1 5 -1 7 -2 5 -8 26 -12 43 -2 6 -4 14 -6 +18 -1 4 -2 9 -2 10 0 2 -3 16 -7 28 -1 3 -3 9 -4 14 -4 17 -14 50 -21 69 -1 3 +-3 10 -5 15 -1 4 -3 11 -4 13 -1 3 -2 6 -2 7 0 1 -1 5 -2 10 -2 4 -4 11 -5 15 +-1 4 -3 10 -4 12 -2 6 -9 27 -16 47 -2 6 -5 15 -7 19 -1 4 -5 14 -7 21 -2 7 +-5 16 -6 18 -1 2 -2 7 -3 11 -3 10 -11 35 -17 51 -8 19 -11 33 -10 41 l0 3 3 +-2 c1 -1 5 -7 8 -13z m5 -69 c0 -2 1 -6 2 -9 2 -4 4 -11 5 -16 2 -5 6 -18 10 +-29 4 -11 10 -28 13 -37 3 -10 8 -26 11 -35 3 -9 8 -24 11 -33 6 -19 16 -52 +22 -69 1 -6 4 -14 4 -17 1 -4 3 -9 3 -11 1 -2 4 -12 6 -20 2 -9 5 -20 7 -24 1 +-5 3 -12 4 -16 3 -12 3 -14 8 -30 4 -15 13 -49 16 -58 0 -3 2 -9 3 -13 1 -4 3 +-10 4 -13 1 -3 2 -9 3 -13 1 -4 3 -13 5 -19 2 -7 4 -18 6 -24 3 -15 5 -21 11 +-41 8 -28 10 -37 5 -38 -1 -1 -5 -4 -9 -6 -4 -3 -10 -6 -12 -7 -11 -4 -24 -11 +-33 -18 -3 -2 -5 -3 -5 -3 -1 0 -2 4 -3 8 -2 17 -5 34 -6 39 -1 3 -2 10 -3 17 +-1 6 -3 13 -3 17 -1 4 -1 9 -2 13 -1 3 -2 8 -2 12 -1 4 -2 14 -4 24 -2 10 -4 +20 -4 23 -1 2 -2 10 -3 18 -2 7 -4 19 -6 28 -1 8 -3 19 -4 24 -1 5 -3 14 -3 +20 -2 12 -4 19 -5 26 -1 2 -2 8 -2 12 0 3 -2 15 -5 26 -2 11 -3 21 -4 23 0 1 +-2 12 -4 23 -1 11 -3 21 -4 22 -1 2 -1 5 -1 6 0 2 -1 7 -1 11 -1 3 -3 13 -4 +20 -1 7 -3 20 -5 29 -2 9 -3 19 -3 23 -1 3 -2 10 -3 15 -2 15 -10 62 -11 68 +-1 4 -2 8 -2 10 -1 5 -7 43 -7 47 0 2 0 2 2 1 0 -1 1 -4 2 -6z m-6 -89 c0 -6 +1 -14 4 -26 1 -7 4 -29 6 -42 1 -5 1 -10 2 -11 0 -2 1 -7 2 -12 1 -5 2 -13 3 +-18 2 -13 3 -24 3 -28 1 -12 2 -20 4 -30 1 -6 3 -19 5 -27 3 -26 4 -31 6 -42 +3 -14 5 -28 6 -35 0 -4 1 -10 2 -14 0 -5 2 -14 3 -20 1 -6 3 -18 4 -25 2 -8 4 +-19 4 -23 1 -15 3 -28 4 -31 1 -2 1 -4 1 -6 0 -1 1 -5 2 -9 1 -4 1 -7 1 -8 -1 +-1 -3 -2 -5 -3 -5 -1 -7 -3 -7 -6 0 -3 -3 -6 -9 -9 -3 -1 -5 -3 -5 -4 0 -1 3 +-7 6 -9 2 -1 3 -6 5 -19 2 -9 5 -21 6 -26 3 -9 5 -28 5 -35 0 -2 -1 -6 -2 -8 +-2 -3 -3 -6 -3 -7 0 -2 0 -3 -1 -3 -4 -3 4 -14 11 -14 3 0 5 -5 6 -14 1 -4 1 +-8 2 -10 1 -6 4 -20 5 -24 3 -26 8 -53 9 -53 1 -1 2 -4 2 -6 0 -6 1 -16 4 -31 +1 -4 2 -11 2 -17 1 -6 3 -14 3 -18 2 -8 3 -17 7 -39 1 -8 3 -18 4 -23 1 -6 3 +-14 3 -19 1 -5 3 -15 4 -23 3 -16 7 -43 9 -54 1 -4 2 -12 2 -17 2 -12 4 -26 7 +-38 0 -4 1 -9 1 -11 0 -3 2 -13 6 -38 1 -9 3 -20 4 -25 2 -14 4 -30 5 -35 0 +-2 1 -8 2 -11 0 -4 1 -10 1 -12 1 -6 3 -18 10 -69 1 -6 3 -18 5 -26 1 -9 3 +-20 3 -25 1 -5 2 -16 4 -24 1 -8 3 -18 3 -21 0 -4 1 -11 2 -16 1 -5 3 -13 3 +-19 1 -7 3 -15 4 -19 0 -4 2 -13 2 -19 1 -6 3 -15 3 -19 3 -13 4 -20 5 -26 0 +-3 1 -8 1 -10 1 -3 2 -9 2 -13 1 -4 2 -10 2 -13 1 -3 2 -11 3 -17 0 -7 2 -17 +3 -23 2 -11 4 -22 5 -33 1 -11 4 -28 6 -36 0 -5 2 -13 2 -18 1 -5 2 -15 4 -22 +1 -7 2 -17 3 -20 1 -4 2 -10 2 -14 2 -7 2 -15 1 -16 0 -1 -2 0 -5 1 -5 3 -6 5 +-7 15 0 6 0 6 2 9 4 4 4 8 1 9 -1 1 -2 3 -3 5 -1 5 3 4 -40 9 -11 2 -12 2 -14 +5 -2 2 -3 4 -3 5 0 0 -1 3 -3 5 -2 2 -5 8 -7 12 -2 5 -6 11 -8 14 -1 2 -4 7 +-5 9 0 2 -3 8 -5 12 -3 4 -6 10 -7 13 -2 4 -4 7 -4 8 -1 1 -4 6 -7 13 l-6 11 +-1 14 c-1 7 -2 20 -2 29 -1 8 -1 18 -2 22 -1 3 -2 16 -3 28 -2 36 -5 76 -8 +100 -1 5 -1 13 -1 17 -1 3 -1 12 -2 18 -1 6 -1 19 -2 28 -1 8 -1 19 -2 24 -1 +4 -1 12 -2 18 0 11 -3 50 -5 76 -1 9 -2 23 -3 32 -1 21 -5 62 -6 75 -1 5 -1 +14 -1 20 -1 6 -1 11 -2 12 0 1 -1 7 -1 14 0 11 0 19 -3 51 -1 14 -4 44 -5 53 +0 3 0 8 0 11 -1 14 -3 36 -4 46 -1 14 -5 51 -7 76 0 12 -2 29 -3 39 0 10 -1 +22 -1 28 -1 5 -1 14 -2 19 -1 5 -1 17 -2 27 -1 9 -2 24 -3 34 0 9 -2 27 -2 40 +-1 12 -2 25 -3 29 -1 4 -1 7 -1 8 0 1 0 5 0 10 -1 5 -2 18 -2 31 -1 12 -2 25 +-3 29 0 3 -1 16 -2 27 -1 11 -1 20 -2 20 0 1 0 7 -1 16 0 8 0 16 0 18 -3 22 +-4 33 -6 69 0 4 0 12 -1 17 -1 5 -1 15 -2 22 0 7 -1 20 -2 30 0 10 -2 24 -2 +31 0 7 -1 18 -2 23 -1 10 -3 35 -4 52 0 6 0 14 -1 16 0 2 -1 10 -1 18 0 7 -1 +14 -1 16 -1 2 -1 5 -1 7 l1 3 2 -3 c0 -2 1 -6 1 -9z m-484 -322 c14 -7 26 -12 +26 -12 1 0 2 0 3 -1 2 -2 75 -38 77 -38 0 0 2 -1 4 -3 2 -1 7 -3 11 -5 6 -2 +25 -12 41 -21 4 -2 10 -6 15 -8 14 -7 20 -11 21 -13 1 0 2 -1 4 -1 1 0 5 -1 8 +-3 3 -2 11 -6 19 -9 14 -7 19 -11 29 -21 5 -5 10 -10 39 -37 8 -7 18 -17 24 +-23 7 -6 14 -12 16 -14 3 -3 12 -12 21 -20 9 -9 25 -25 36 -34 10 -10 21 -22 +25 -26 4 -4 10 -10 13 -13 4 -4 11 -11 16 -16 4 -5 15 -17 23 -25 16 -17 16 +-15 6 -25 -8 -8 -19 -20 -25 -27 -5 -6 -4 -5 -14 -14 -22 -19 -35 -31 -42 -37 +-3 -4 -15 -16 -26 -26 -11 -11 -34 -33 -51 -50 -17 -16 -31 -30 -32 -31 -3 0 +-5 2 -5 6 0 2 -5 13 -13 29 -2 4 -6 12 -9 17 -3 5 -5 10 -6 11 -1 1 -2 4 -3 6 +-1 3 -4 8 -7 12 -2 3 -6 12 -9 18 -4 6 -7 12 -8 14 -2 2 -8 13 -13 25 -1 2 -3 +5 -5 9 -2 4 -5 8 -5 10 -1 2 -3 6 -12 19 -2 2 -3 5 -3 6 0 1 -1 2 -2 4 -1 1 +-3 5 -5 8 -1 3 -3 7 -5 8 -1 2 -3 6 -6 10 -3 8 -3 8 -2 12 1 1 2 4 2 4 0 1 1 +3 3 5 2 4 3 7 1 7 -1 0 -3 -3 -5 -7 -2 -4 -4 -7 -5 -7 -1 0 -4 6 -7 12 -15 28 +-21 41 -23 42 -2 3 -16 31 -16 34 0 1 1 6 2 10 1 5 2 11 3 15 1 3 2 7 3 10 1 +4 1 4 -1 6 l-1 2 -2 -3 c0 -1 -1 -4 -1 -5 0 -2 -1 -4 -1 -6 -1 -1 -2 -5 -2 -7 +-2 -8 -4 -15 -5 -15 -2 0 -6 4 -8 10 -1 2 -3 5 -4 6 -2 1 -3 3 -4 5 0 1 -1 3 +-1 4 -1 0 -1 1 -1 2 0 2 -7 14 -17 31 -6 9 -6 9 -6 15 2 14 2 18 1 19 -2 2 -2 +1 -3 -6 0 -5 -1 -7 -2 -7 -2 0 -7 7 -13 21 -3 6 -6 12 -8 13 -1 2 -4 7 -5 11 +-2 4 -4 9 -6 11 -1 2 -3 5 -4 6 0 2 -3 7 -6 12 -3 5 -6 10 -7 12 -1 3 -4 6 -7 +9 -2 2 -6 8 -8 13 -7 12 -11 20 -13 22 -1 1 -4 6 -8 12 -3 6 -6 12 -8 13 -3 5 +-4 10 -1 10 0 0 12 -5 25 -12z m-28 -7 c4 -7 9 -16 10 -18 10 -16 16 -27 24 +-38 8 -11 21 -33 26 -43 3 -6 3 -9 0 -27 -2 -8 -4 -20 -5 -26 -1 -7 -3 -14 -3 +-16 0 -2 -1 -7 -2 -12 -3 -20 -3 -24 -5 -30 -3 -14 -4 -22 -5 -26 0 -3 -2 -8 +-3 -12 -1 -6 -1 -9 1 -6 1 1 4 14 7 28 1 4 3 10 3 14 3 12 5 22 6 28 0 3 1 9 +2 14 0 5 1 12 2 17 1 5 2 9 2 10 1 1 2 7 3 14 1 14 2 16 7 10 2 -2 3 -5 4 -6 +0 -1 3 -8 7 -15 4 -7 7 -13 7 -14 0 0 1 -1 2 -2 4 -5 5 -10 4 -19 -2 -17 -6 +-38 -10 -49 -2 -7 -4 -15 -4 -18 0 -3 -2 -8 -2 -11 -1 -3 -3 -8 -4 -12 0 -4 +-2 -9 -3 -12 0 -3 -2 -7 -2 -9 0 -2 -1 -5 -2 -6 -1 -4 -1 -8 0 -8 1 0 3 6 4 +11 1 2 3 9 5 15 2 7 4 13 4 14 0 2 1 4 1 6 4 9 14 53 16 70 1 4 1 7 1 8 2 1 4 +-2 8 -9 9 -17 14 -26 23 -40 10 -15 10 -15 9 -20 0 -2 -1 -5 -1 -7 -1 -2 -3 +-8 -5 -14 -5 -18 -11 -36 -17 -55 -3 -10 -6 -19 -6 -19 0 -1 -1 -3 -1 -4 -2 +-4 -6 -16 -10 -27 -1 -4 -2 -9 -2 -11 0 -3 -1 -5 -1 -6 -2 -1 -5 -7 -9 -20 -2 +-5 -6 -15 -9 -21 -4 -12 -5 -15 -3 -15 1 1 2 1 10 24 3 8 7 16 8 18 0 1 2 6 4 +10 1 3 3 10 5 15 2 5 4 12 5 16 4 11 10 28 12 33 1 2 3 7 4 12 7 23 9 30 10 +32 2 4 4 12 4 14 0 1 1 4 2 7 1 3 2 7 3 8 0 2 1 4 2 4 1 0 8 -9 8 -11 0 -1 2 +-4 4 -8 2 -4 8 -15 13 -26 6 -11 12 -23 15 -28 3 -5 5 -9 5 -9 0 -1 -3 -7 -6 +-15 -4 -7 -7 -13 -7 -14 0 -1 -2 -7 -4 -10 -7 -14 -28 -56 -29 -59 -2 -6 -2 +-6 -5 -11 -2 -3 -4 -7 -5 -9 -4 -10 -12 -27 -16 -33 -1 -4 -3 -7 -2 -7 1 0 2 +1 2 3 2 4 3 5 7 11 2 2 2 3 6 12 1 2 3 6 4 8 1 1 3 5 4 8 1 3 4 7 6 9 1 2 3 4 +3 5 0 1 1 4 2 6 1 2 2 5 2 7 1 2 2 4 3 5 0 1 2 4 3 8 2 3 4 8 6 11 2 3 4 7 4 +9 2 4 4 10 13 28 3 6 6 12 7 14 1 5 3 7 4 7 2 0 9 -11 15 -23 2 -4 7 -12 10 +-18 4 -6 7 -12 7 -13 1 -2 -5 -14 -10 -22 -1 -2 -4 -7 -15 -29 -3 -6 -7 -13 +-9 -15 -1 -3 -5 -9 -7 -13 -6 -12 -8 -16 -10 -18 -2 -2 -10 -16 -13 -22 -1 -3 +-4 -8 -7 -11 -6 -10 -13 -23 -13 -24 1 -1 5 3 7 8 0 1 2 3 3 5 2 2 14 21 24 +37 2 3 6 10 8 14 2 3 5 8 6 9 1 1 3 6 6 11 16 31 19 36 21 40 1 1 2 3 2 4 0 1 +1 3 2 5 2 1 4 5 5 8 1 3 3 5 4 5 1 0 10 -15 10 -17 0 0 3 -5 6 -12 3 -6 9 -16 +13 -23 4 -7 9 -17 12 -23 4 -6 14 -25 23 -43 18 -38 18 -35 9 -42 -2 -2 -6 -5 +-8 -8 -3 -2 -12 -11 -21 -20 -10 -8 -20 -18 -22 -20 -2 -3 -10 -10 -16 -16 +-11 -10 -28 -25 -33 -31 -2 -1 -5 -3 -7 -5 -2 -2 -8 -6 -12 -10 -14 -13 -35 +-31 -36 -31 -1 0 -2 -1 -2 -3 -1 -1 -4 -4 -6 -5 -2 -1 -7 -5 -11 -8 -3 -3 -9 +-7 -12 -9 -3 -3 -8 -7 -11 -9 -3 -3 -9 -8 -13 -11 -4 -3 -11 -8 -14 -11 -4 -3 +-11 -9 -15 -12 -4 -3 -10 -8 -14 -11 -3 -3 -8 -6 -9 -7 -2 -2 -6 -4 -8 -7 -3 +-3 -8 -6 -11 -9 -3 -2 -8 -6 -11 -9 -3 -2 -10 -8 -16 -12 -5 -4 -14 -12 -19 +-16 -6 -5 -13 -11 -15 -13 -3 -2 -7 -5 -10 -7 -3 -3 -11 -9 -18 -14 -11 -8 +-30 -22 -39 -28 -2 -1 -4 -2 -5 -2 0 1 -2 1 -2 2 -1 0 -2 -1 -3 -4 -1 -4 -6 +-9 -8 -9 -2 0 -14 -8 -19 -14 -6 -5 -19 -12 -20 -11 -1 0 -1 3 -1 6 0 4 0 5 +-2 5 -1 0 -2 -3 -3 -7 -4 -13 -5 -14 -11 -19 -3 -2 -8 -6 -10 -8 -3 -2 -6 -5 +-8 -6 -2 -1 -6 -3 -9 -5 -7 -5 -8 -5 -9 0 0 2 -1 4 -2 4 -1 0 -2 -2 -3 -4 -3 +-11 -5 -14 -12 -18 -4 -3 -7 -6 -8 -6 -1 -1 -2 -2 -2 -2 -1 0 -5 -2 -9 -5 -11 +-6 -12 -5 -7 7 3 6 4 10 3 10 -1 1 -3 -2 -5 -8 -1 -3 -2 -6 -4 -9 -1 -2 -2 -5 +-2 -5 0 -2 -4 -5 -13 -11 -5 -3 -14 -8 -19 -11 -9 -5 -15 -9 -40 -24 -12 -6 +-13 -7 -15 -6 -4 2 -6 1 -8 -4 -2 -6 -7 -9 -37 -25 -13 -6 -14 -6 -9 3 2 4 4 +8 6 9 1 1 3 4 4 7 1 2 2 4 3 4 0 0 2 2 4 5 1 3 4 8 6 11 3 6 4 7 10 18 2 4 5 +7 6 9 1 1 3 4 5 8 3 5 18 27 24 35 2 2 5 6 6 9 2 3 5 7 6 10 2 2 3 4 3 5 0 2 +13 26 22 42 5 9 9 17 9 18 0 1 1 3 2 4 2 3 11 16 11 17 0 0 4 8 9 20 2 4 4 10 +5 12 1 3 2 6 3 8 1 3 5 11 8 19 3 9 7 16 7 17 1 0 2 5 4 10 4 10 6 15 8 18 1 +1 3 5 3 8 1 2 4 8 5 12 5 10 15 33 15 35 0 0 1 2 1 4 6 12 11 25 12 30 1 3 2 +8 4 12 2 3 6 12 9 19 4 7 8 16 9 20 1 3 3 8 4 11 6 13 10 28 10 32 0 3 1 4 2 +5 2 1 9 17 9 19 0 1 2 6 5 12 3 7 6 14 7 18 1 3 2 8 4 11 1 3 4 9 5 13 1 3 3 +8 4 11 1 2 3 7 4 11 1 4 3 9 4 11 2 4 4 11 9 30 6 28 8 35 10 41 5 15 13 40 +14 48 0 2 1 5 2 6 0 2 1 4 1 5 0 2 2 8 4 15 2 7 4 15 5 18 1 3 2 7 3 8 0 2 1 +4 1 5 0 1 1 4 2 8 1 3 3 8 3 10 0 2 2 7 2 9 2 5 4 11 5 21 0 2 1 5 2 6 1 2 4 +15 9 35 0 3 2 9 3 13 3 8 4 15 4 18 0 1 1 6 2 10 1 3 2 9 3 12 1 3 2 9 3 14 1 +5 2 10 2 11 0 3 4 22 6 31 3 13 6 28 8 38 1 3 2 9 3 13 4 13 5 20 6 40 0 10 1 +20 1 22 2 7 3 9 4 9 1 0 4 -7 8 -15z m577 -89 c2 -3 1 -5 -2 -5 -3 0 -5 2 -4 +4 1 2 4 2 6 1z m4 -27 c0 -2 1 -6 2 -11 3 -25 4 -30 5 -35 3 -10 4 -23 3 -24 +-1 -2 -3 0 -4 6 -1 2 -3 8 -4 14 -2 5 -4 14 -5 20 -1 5 -2 12 -3 16 -1 6 -1 +12 1 16 0 2 3 1 5 -2z m101 -46 c1 -2 1 -7 2 -11 1 -5 3 -15 5 -23 3 -14 5 +-25 7 -35 1 -11 3 -21 4 -27 4 -13 6 -27 7 -34 0 -5 1 -11 2 -15 0 -4 1 -9 2 +-12 1 -8 -1 -7 -12 7 -9 11 -12 15 -31 37 -4 5 -10 12 -11 14 -2 2 -4 6 -6 7 +-1 1 -5 7 -9 13 -7 10 -17 24 -23 30 -4 4 -4 6 -1 11 2 2 2 4 2 6 -1 4 -1 5 7 +10 9 6 16 10 26 13 5 2 11 4 13 6 15 10 15 10 16 3z m-84 -30 c0 -1 -1 -2 -2 +-3 -4 -2 -6 -1 -6 2 0 3 1 3 7 4 0 0 1 -1 1 -3z m12 -20 c2 -3 6 -9 9 -12 3 +-4 7 -10 9 -13 6 -8 20 -27 27 -34 3 -3 7 -8 9 -11 2 -3 13 -17 27 -33 3 -3 +12 -14 20 -23 9 -10 19 -21 23 -26 4 -4 12 -13 18 -20 15 -18 27 -31 28 -32 1 +0 2 -1 3 -3 1 -1 8 -10 16 -18 9 -9 21 -22 28 -30 7 -8 15 -16 17 -18 2 -2 4 +-4 5 -6 1 -1 5 -5 8 -8 3 -4 8 -9 10 -12 5 -7 20 -23 25 -28 2 -2 9 -10 16 +-17 6 -7 12 -14 12 -14 0 0 3 -3 6 -7 6 -7 8 -9 16 -18 2 -3 6 -7 8 -9 2 -2 4 +-4 4 -5 0 0 4 -5 9 -10 5 -5 10 -11 12 -13 9 -13 30 -36 33 -37 1 0 2 -1 2 -2 +1 -1 5 -6 14 -14 0 -1 3 -4 6 -8 3 -4 10 -11 15 -17 6 -6 11 -12 13 -13 1 -2 +9 -11 18 -21 9 -10 17 -19 19 -21 6 -7 15 -17 28 -31 8 -8 18 -19 22 -23 3 -5 +9 -11 11 -13 2 -3 9 -10 15 -17 6 -7 13 -15 17 -19 4 -4 13 -14 20 -23 8 -8 +20 -21 26 -27 7 -7 17 -18 23 -25 6 -6 13 -14 16 -17 7 -7 22 -24 24 -27 1 -1 +7 -8 14 -15 6 -7 14 -15 17 -18 2 -4 6 -8 8 -9 2 -2 6 -7 9 -10 3 -4 8 -11 12 +-14 11 -12 17 -18 22 -24 3 -4 6 -7 8 -8 1 -2 4 -5 7 -9 3 -3 10 -12 17 -19 6 +-7 18 -19 25 -28 8 -8 19 -20 24 -26 6 -7 13 -14 15 -17 3 -3 10 -11 17 -18 +14 -14 18 -19 18 -21 -1 -3 -10 -3 -14 -2 -4 2 -9 3 -36 3 -13 1 -37 1 -51 2 +-15 0 -33 1 -39 1 -7 1 -21 1 -31 2 -11 0 -27 1 -36 1 -9 0 -35 1 -57 0 -22 0 +-51 0 -64 1 -15 0 -36 0 -53 -1 -40 -1 -72 -1 -79 0 -10 2 -83 -1 -91 -4 -2 0 +-41 -5 -55 -6 -6 -1 -18 -3 -27 -5 -10 -2 -20 -4 -23 -4 -3 0 -9 -2 -14 -2 -5 +-1 -11 -2 -13 -3 -3 0 -8 -2 -11 -2 -3 -1 -10 -2 -14 -3 -5 -1 -13 -2 -18 -3 +-15 -3 -15 -3 -16 -1 0 1 -1 11 -1 23 0 18 0 22 -2 24 -1 2 -1 4 -1 7 1 3 1 +14 2 24 0 20 -1 29 -4 32 -1 2 -1 3 0 6 1 5 1 13 -1 17 -2 3 -2 5 -1 11 1 3 1 +9 1 12 0 3 0 7 0 9 0 2 -1 4 -1 5 -1 1 -1 9 -1 19 0 13 0 18 -1 23 -1 3 -2 13 +-3 23 -1 9 -1 18 -2 20 -1 1 -1 6 -1 11 -1 5 -1 12 -2 16 -2 6 -4 25 -6 43 0 +3 -1 10 -2 14 -1 6 -2 14 -4 41 -2 25 -5 49 -7 59 -1 3 -1 8 -1 11 0 4 -1 13 +-3 21 -1 7 -3 17 -3 20 -1 4 -1 7 -1 8 -1 0 -1 6 -2 14 -1 7 -1 15 -2 17 0 2 +-2 10 -3 17 -1 6 -3 15 -4 19 -2 7 -3 11 -5 29 -1 4 -2 11 -3 14 -1 4 -2 10 +-3 14 -1 4 -1 8 -2 9 0 1 -1 7 -2 12 -1 4 -2 12 -3 16 -1 3 -3 11 -4 18 -1 6 +-3 14 -4 19 -3 15 -5 23 -6 28 0 2 -1 7 -1 10 -1 2 -3 7 -3 10 -1 3 -2 8 -3 +11 0 6 -2 12 -6 22 -3 8 -5 15 -6 24 0 5 -2 11 -3 13 -1 2 -2 6 -2 8 0 2 -1 6 +-2 9 -1 2 -3 6 -3 9 -1 6 -4 16 -6 22 -1 2 -2 6 -2 8 0 4 -3 18 -6 28 -2 4 -3 +8 -3 10 0 1 -1 6 -3 10 -2 5 -3 11 -4 13 -1 5 -3 10 -7 22 -3 10 -5 16 -5 23 +-1 2 -2 7 -4 11 -2 4 -4 13 -6 26 -3 17 -3 20 -2 24 1 2 2 4 3 4 0 0 2 -2 4 +-5z m-88 -149 c3 -2 8 -8 11 -12 4 -4 9 -10 12 -14 2 -3 6 -8 8 -10 2 -3 3 -5 +3 -11 1 -3 1 -8 1 -9 0 -2 1 -8 1 -12 1 -5 1 -12 2 -15 0 -4 0 -13 1 -21 1 -9 +2 -20 2 -26 1 -7 1 -17 2 -23 3 -34 5 -68 6 -77 1 -7 1 -15 2 -18 0 -4 0 -12 +1 -17 0 -6 1 -14 1 -19 1 -5 1 -14 2 -21 1 -7 2 -28 3 -46 3 -31 5 -54 7 -80 +0 -7 1 -19 2 -28 1 -10 2 -24 2 -32 1 -8 3 -24 3 -36 1 -12 2 -26 3 -32 1 -7 +1 -15 1 -18 1 -4 1 -13 2 -20 2 -27 3 -35 4 -49 1 -9 2 -19 2 -23 1 -8 2 -20 +3 -42 1 -11 0 -12 -5 -4 -4 6 -14 26 -14 30 -1 2 -2 4 -3 5 -1 2 -3 5 -4 7 -1 +4 -15 27 -19 32 -1 2 -4 5 -5 6 -2 1 -3 3 -4 4 0 2 -2 6 -5 11 -11 19 -13 23 +-16 28 -2 3 -5 9 -7 13 -4 10 -8 17 -12 25 l-3 6 2 10 c1 5 3 14 5 19 2 9 6 +29 6 37 1 3 1 6 2 9 0 2 1 6 1 10 1 3 2 10 3 16 1 6 3 15 3 21 3 13 6 29 7 33 +1 3 0 5 -3 6 -2 0 -3 -1 -3 -4 -2 -12 -6 -42 -7 -49 0 -4 -1 -9 -2 -11 -1 -2 +-2 -5 -2 -7 0 -3 -1 -10 -5 -24 -2 -10 -3 -14 -1 -14 2 -1 0 -11 -4 -31 -3 +-13 -4 -14 -6 -11 -1 1 -2 3 -2 4 0 0 -1 3 -3 6 -2 2 -7 11 -10 18 -7 13 -7 +14 -6 18 1 5 1 6 -2 4 -2 -1 -3 -1 -4 1 0 1 -1 2 -1 4 0 1 -1 2 -1 3 -4 3 -1 +6 3 3 3 -1 3 -1 5 0 1 2 1 2 -1 5 -2 4 -6 5 -8 2 -4 -3 -6 -2 -10 5 -8 14 -10 +18 -10 20 0 2 -1 4 -4 7 -2 2 -5 7 -7 12 -2 4 -5 10 -7 12 -4 5 -4 6 -1 19 1 +6 3 15 4 20 0 5 2 14 3 19 2 16 5 33 7 47 1 7 2 16 3 19 1 2 1 9 2 15 0 5 2 +20 4 33 3 28 4 51 2 55 -3 6 -6 2 -6 -8 0 -3 0 -7 -1 -10 -1 -2 -1 -9 -2 -15 +-4 -35 -7 -62 -8 -66 -1 -3 -1 -8 -2 -12 0 -7 -1 -16 -3 -26 -1 -5 -2 -13 -5 +-31 -1 -15 -4 -33 -5 -36 0 -4 -3 -2 -7 5 -8 13 -7 11 -6 20 1 5 2 10 2 12 1 +2 2 7 3 12 0 5 2 17 3 27 2 13 3 19 2 20 -3 6 -5 -4 -12 -44 -2 -10 -4 -19 -4 +-21 -1 -1 -1 -1 -3 0 -2 2 -10 15 -10 17 0 1 -2 6 -4 11 -5 9 -6 11 -3 23 3 +16 6 45 6 61 0 7 0 9 -2 12 -3 4 -6 4 -7 -1 -1 -4 -1 -4 1 -6 2 -2 2 -3 2 -6 +-1 -3 -1 -10 -2 -17 -1 -7 -1 -13 -2 -14 0 -2 -1 -8 -1 -15 -2 -13 -2 -14 -4 +-14 -3 0 -9 8 -9 11 0 1 -1 4 -3 7 -8 16 -15 30 -15 33 0 3 4 18 7 25 0 2 1 5 +1 7 0 1 1 8 3 16 1 7 3 17 4 22 0 4 1 11 2 14 1 6 1 8 -1 8 -1 0 -3 -6 -6 -24 +-2 -10 -4 -23 -5 -28 -2 -10 -4 -24 -6 -34 -1 -6 -2 -7 -5 -2 -1 3 -3 5 -3 6 +-1 1 -2 3 -2 4 -1 3 -11 21 -15 28 -3 4 -12 20 -12 23 -1 2 1 4 9 12 6 5 22 +21 37 35 32 31 45 45 59 57 5 5 15 15 23 22 7 7 15 15 19 18 4 2 12 11 19 19 +7 7 16 17 20 20 3 4 8 9 9 11 1 2 3 4 3 4 1 0 3 -2 5 -5z m115 -28 c2 -9 3 +-13 6 -23 1 -5 2 -11 3 -13 1 -5 9 -36 15 -58 2 -6 4 -14 5 -17 0 -4 2 -10 3 +-14 1 -3 2 -8 2 -10 0 -3 2 -13 5 -25 0 -4 2 -11 3 -16 1 -6 2 -13 3 -16 1 -4 +3 -11 3 -16 1 -5 3 -13 4 -17 3 -17 4 -23 5 -28 1 -6 3 -19 5 -26 5 -25 12 +-62 13 -78 1 -3 1 -6 2 -6 0 -1 1 -5 1 -9 1 -4 2 -12 2 -17 2 -11 4 -26 5 -31 +0 -2 0 -8 1 -13 1 -8 3 -28 6 -53 1 -5 1 -12 2 -15 1 -6 2 -19 5 -47 1 -7 3 +-17 3 -23 3 -16 6 -40 8 -55 2 -20 3 -49 1 -49 -1 0 -2 3 -2 8 -1 2 -1 6 -2 +10 0 3 -2 10 -3 16 0 5 -2 15 -3 23 -1 7 -3 16 -3 20 0 4 -1 10 -2 13 -1 2 -2 +8 -2 13 -1 4 -2 9 -3 12 0 2 -1 5 0 6 0 2 -1 11 -6 36 -3 15 -5 25 -6 32 -2 +11 -2 13 -3 22 -1 4 -2 10 -3 14 0 3 -1 10 -2 15 -1 4 -2 11 -3 15 -1 8 -3 19 +-4 31 -1 4 -1 11 -2 14 -1 3 -1 9 -2 13 0 4 -2 11 -3 16 -1 9 -3 17 -4 31 -1 +9 -2 16 -5 34 -1 4 -2 10 -3 13 0 2 -1 6 -2 8 -2 5 -7 36 -8 51 -1 8 -2 16 -3 +17 -1 1 -1 4 -1 8 0 5 -1 10 -3 22 -1 3 -1 7 -2 10 0 2 -1 5 -2 5 0 1 -1 3 -1 +5 0 6 -3 26 -6 38 -1 5 -2 11 -3 13 0 1 -1 4 -2 5 0 2 -1 3 -1 4 1 1 -2 19 -4 +28 -4 10 -6 23 -7 31 0 4 -1 11 -1 16 -1 6 -2 11 -2 12 0 4 2 1 3 -5z m-14 1 +c0 -1 0 -2 -1 -2 -1 0 -2 1 -2 2 0 3 2 2 3 0z m-307 -184 c4 -6 8 -12 9 -13 1 +-2 2 -4 2 -4 0 -1 2 -4 4 -7 5 -9 16 -29 20 -36 2 -4 6 -12 9 -18 4 -7 10 -18 +14 -26 l8 -14 -1 -7 c-1 -4 -2 -10 -3 -14 -1 -5 -2 -11 -3 -15 -1 -8 -6 -25 +-8 -31 0 -2 -2 -10 -4 -17 -2 -8 -4 -16 -5 -19 -1 -4 -3 -12 -5 -18 -4 -14 -7 +-25 -16 -50 -3 -11 -7 -21 -7 -23 -1 -5 -2 -9 -5 -15 -1 -3 -2 -6 -2 -6 1 -1 +5 4 6 8 1 4 8 23 12 34 2 5 5 11 5 13 0 1 4 11 7 20 3 10 6 19 6 20 0 0 1 4 3 +9 1 4 3 11 4 15 2 7 7 26 10 37 5 16 8 29 9 36 1 9 2 11 4 10 0 -1 4 -6 7 -13 +3 -6 8 -14 10 -18 l4 -7 -3 -10 c-1 -6 -3 -14 -4 -18 -2 -11 -5 -20 -7 -26 -2 +-6 -4 -14 -4 -16 0 -1 1 0 3 1 3 1 4 3 6 8 2 6 9 33 11 41 1 3 2 6 2 7 2 1 4 +-1 10 -10 3 -6 3 -7 3 -14 0 -7 -3 -25 -7 -45 -1 -4 -2 -9 -3 -11 0 -2 -1 -6 +-1 -8 -1 -1 -2 -6 -2 -10 -2 -10 -15 -59 -16 -64 -1 -2 -3 -8 -4 -14 -2 -5 -5 +-16 -8 -25 -3 -9 -6 -18 -6 -20 -1 -2 -3 -10 -6 -16 -3 -7 -6 -17 -8 -21 -3 +-7 -4 -10 -6 -10 -1 -1 -2 -2 -3 -3 0 -1 -1 -2 -1 -2 -1 0 -1 -4 0 -4 2 -2 5 +3 11 14 3 7 7 15 8 19 0 3 2 6 2 8 1 1 3 5 4 9 1 3 4 13 7 20 3 7 7 20 9 28 2 +8 5 16 5 17 1 1 2 7 4 14 2 6 4 14 5 18 2 7 10 38 13 54 1 5 3 12 4 16 1 4 2 +9 2 12 1 3 2 7 2 8 1 2 2 4 2 5 0 2 2 1 4 -1 0 -1 4 -8 8 -15 l7 -14 -1 -8 +c-1 -4 -3 -10 -4 -13 -1 -3 -3 -8 -4 -12 0 -4 -2 -10 -4 -13 -2 -7 -2 -10 0 +-10 2 1 14 38 14 43 0 3 2 6 4 4 1 -1 9 -15 13 -21 0 -2 3 -6 5 -10 4 -9 4 -8 +0 -24 -5 -18 -5 -18 -7 -15 -3 3 -4 1 -5 -13 -1 -12 -3 -24 -9 -46 -2 -5 -5 +-13 -8 -20 0 -2 -3 -9 -6 -17 -2 -9 -7 -22 -10 -29 -3 -8 -6 -15 -6 -15 0 -2 +3 -1 5 3 5 7 10 17 14 30 2 7 6 17 8 24 5 12 10 29 12 39 1 4 3 13 4 21 2 8 3 +16 4 18 0 2 1 4 1 5 1 0 2 5 3 9 5 16 5 16 9 10 3 -4 17 -32 26 -51 7 -15 14 +-28 20 -37 2 -4 4 -7 4 -9 1 -1 6 -9 12 -18 5 -9 11 -18 13 -21 1 -2 4 -7 6 +-10 2 -3 9 -15 15 -27 5 -11 12 -23 13 -25 5 -8 7 -11 10 -17 1 -3 3 -7 4 -8 +4 -5 6 -16 7 -25 0 -4 0 -8 0 -9 1 -4 2 -13 2 -24 0 -6 1 -17 1 -25 1 -9 2 +-15 1 -15 -1 -1 -9 -1 -22 1 -12 1 -25 3 -30 3 -5 1 -13 1 -18 2 -5 1 -18 1 +-28 2 -11 1 -22 2 -26 2 -4 1 -13 2 -20 3 -8 0 -17 0 -19 1 -3 0 -7 0 -8 0 -1 +0 -8 1 -14 2 -14 1 -26 3 -46 4 -8 1 -16 1 -17 2 -2 0 -12 1 -22 1 -21 2 -34 +3 -48 5 -5 1 -15 2 -23 2 -8 1 -19 2 -24 3 -20 2 -47 4 -69 5 -19 1 -24 2 -28 +3 -2 1 -6 2 -10 2 -6 0 -48 3 -59 5 -4 1 -13 1 -20 2 -8 1 -16 1 -18 2 -14 1 +-52 3 -63 4 -7 0 -16 0 -19 1 -13 2 -39 6 -49 7 -21 2 -53 4 -61 5 -5 0 -16 1 +-24 1 -9 1 -29 2 -44 3 -27 1 -38 2 -77 4 -9 0 -22 1 -31 1 -9 0 -20 1 -26 1 +-6 1 -18 1 -25 1 -7 1 -17 1 -20 2 -4 1 -13 1 -20 1 -8 0 -15 0 -16 1 -5 1 -3 +3 4 5 3 1 13 5 22 10 8 4 15 7 16 7 0 -1 -2 -5 -7 -13 -2 -2 -2 -3 -1 -4 2 0 +10 9 16 18 6 10 8 12 21 19 1 1 5 3 8 5 5 3 15 8 15 8 2 0 -3 -11 -8 -18 -1 +-3 -1 -6 0 -6 1 0 3 1 4 3 1 1 3 4 4 6 2 2 3 4 3 4 0 2 6 14 9 17 0 1 4 4 9 7 +4 3 10 6 13 8 9 6 10 4 2 -10 -3 -7 -9 -16 -11 -21 -13 -22 -18 -33 -10 -24 3 +4 15 22 15 24 0 0 1 2 2 3 2 2 5 7 7 12 12 22 16 29 22 32 3 1 11 6 19 11 10 +7 14 9 15 8 2 -1 0 -6 -3 -9 -1 -1 -2 -3 -2 -4 0 -3 -6 -15 -9 -18 0 -1 -2 -4 +-2 -6 -1 -2 -3 -6 -5 -7 -1 -2 -4 -7 -6 -10 -2 -4 -4 -8 -5 -9 -1 -2 -3 -4 -3 +-6 -2 -3 -2 -3 -1 -4 1 0 3 0 4 1 2 2 9 12 12 18 1 2 3 5 4 7 19 33 19 33 24 +47 2 5 4 9 5 10 1 1 4 4 8 7 7 4 10 6 19 14 7 6 13 9 15 8 2 -2 1 -4 -1 -7 -1 +-2 -3 -7 -3 -10 -1 -4 -2 -8 -3 -9 -1 -1 -4 -7 -6 -11 -2 -5 -4 -11 -5 -12 0 +-1 -3 -7 -6 -14 -3 -6 -9 -16 -12 -22 -8 -11 -8 -13 -5 -13 3 0 4 1 12 13 7 +11 24 46 24 49 0 1 2 5 4 9 2 3 4 8 4 10 1 6 7 26 7 27 1 1 3 2 4 3 2 2 9 6 +16 11 24 18 26 19 26 15 0 -2 -8 -27 -11 -35 -1 -3 -2 -7 -2 -8 0 -1 -1 -3 -2 +-5 -1 -2 -2 -6 -3 -8 -1 -2 -3 -9 -6 -15 -3 -7 -7 -16 -9 -22 -3 -6 -6 -14 -8 +-19 -4 -8 -5 -10 -3 -10 1 0 15 28 15 30 0 1 11 25 14 30 1 2 2 6 3 9 1 2 3 8 +5 12 3 9 9 26 10 33 2 10 5 18 7 19 1 0 5 3 10 6 5 4 13 10 19 14 6 4 15 11 +21 15 13 12 24 19 25 19 2 0 2 -3 -1 -12 -2 -5 -4 -10 -4 -10 0 -1 -1 -3 -2 +-4 0 -2 -2 -6 -3 -8 0 -3 -2 -9 -4 -13 -2 -4 -4 -10 -5 -14 -2 -7 -8 -23 -10 +-29 -1 -3 -5 -12 -9 -21 -3 -10 -8 -22 -10 -27 -2 -5 -5 -13 -7 -17 -1 -4 -5 +-12 -7 -18 -3 -7 -6 -14 -7 -16 -1 -2 -3 -8 -5 -12 -3 -7 -3 -9 -1 -8 2 0 15 +26 17 31 3 8 7 20 8 21 2 2 4 7 10 22 9 24 16 42 18 47 2 2 4 9 5 14 1 5 3 11 +4 12 1 3 6 18 8 27 1 4 3 8 4 10 0 1 2 6 3 11 1 5 3 11 4 14 2 4 3 7 3 7 0 2 +20 19 24 22 1 0 5 3 9 6 13 12 29 24 43 35 8 7 21 17 28 23 7 6 16 13 19 15 3 +3 7 6 10 9 3 2 7 5 9 7 2 1 8 6 14 11 5 4 12 10 16 13 19 15 37 31 41 36 1 1 +3 2 3 2 1 0 12 9 26 23 7 6 16 15 21 20 6 4 17 16 26 24 9 9 17 16 17 16 1 0 +32 31 32 32 0 1 1 1 2 1 1 0 4 -5 7 -12z m344 0 c2 -14 2 -15 1 -13 -1 1 -3 9 +-4 19 0 5 0 5 1 3 1 -2 2 -6 2 -9z m66 -422 c1 -2 1 -5 0 -5 -2 1 -3 7 -1 7 0 +0 1 -1 1 -2z m-99 -141 c1 -1 2 -4 3 -6 1 -2 3 -6 4 -8 2 -3 3 -5 3 -6 0 -2 +16 -32 21 -39 3 -4 5 -8 5 -9 0 -3 -3 -3 -8 -2 -2 1 -7 1 -11 1 -10 0 -13 1 +-15 4 0 1 -1 8 -2 15 -2 29 -3 36 -4 42 -2 11 0 13 4 8z m-730 -16 c1 -2 1 -4 +-1 -4 -2 0 -5 3 -5 4 1 1 5 1 6 0z m49 -6 c8 -1 15 -2 15 -1 1 0 5 -1 9 -1 10 +-2 25 -4 50 -5 11 -1 23 -1 28 -2 4 -1 16 -2 26 -3 10 -1 19 -3 21 -3 1 -1 5 +-1 10 0 6 1 9 0 12 -1 2 0 6 -1 10 -1 3 0 7 0 10 -1 4 -1 30 -3 49 -3 11 -1 +14 -1 14 -3 0 -1 -1 -3 -3 -5 -1 -2 -2 -5 -2 -7 -1 -3 -1 -4 -4 -5 -7 -3 -6 +-8 1 -8 4 0 5 -1 7 -6 1 -4 1 -8 0 -10 -1 -2 -8 -7 -15 -10 -4 -2 -5 -3 -5 -6 +0 -4 0 -4 -21 -8 -9 -1 -12 -1 -17 0 -8 1 -12 1 -30 -4 -14 -4 -16 -4 -19 -1 +-4 3 -20 13 -26 16 -4 2 -7 4 -8 5 -3 3 -24 15 -28 16 -2 1 -5 2 -6 4 -2 2 -5 +4 -8 4 -2 1 -4 3 -4 3 0 0 -1 1 -3 2 -1 0 -7 4 -11 7 -5 4 -10 7 -11 8 -1 0 +-5 3 -8 6 -6 4 -8 5 -9 4 -1 -1 -1 -2 0 -3 2 -4 1 -4 -5 -1 -3 2 -7 3 -7 3 -1 +0 -3 1 -5 3 -2 2 -4 3 -4 3 -1 0 -16 9 -20 12 -2 1 -2 3 1 3 2 0 9 -1 16 -1z +m-14 -10 c4 -2 8 -5 10 -6 1 0 5 -2 8 -4 2 -2 6 -4 8 -5 2 0 4 -2 5 -2 1 -2 +17 -10 35 -19 4 -2 9 -4 10 -4 2 0 4 -1 7 -4 2 -2 4 -4 5 -4 1 0 2 -1 4 -2 1 +-1 3 -2 4 -2 2 0 8 -4 13 -7 2 -2 5 -3 6 -3 0 0 2 -1 5 -3 2 -1 6 -4 9 -5 2 +-2 8 -6 13 -9 4 -3 8 -5 9 -5 1 0 4 -4 4 -5 -1 0 -8 -3 -16 -5 -16 -6 -46 -17 +-50 -20 -1 -1 -5 -3 -8 -4 -7 -4 -6 -5 -25 17 -5 6 -11 13 -14 16 -2 2 -4 5 +-4 6 0 1 -2 3 -3 5 -4 3 -11 11 -18 20 -2 3 -5 6 -6 7 -1 0 -3 2 -4 4 -1 3 -3 +6 -6 9 -10 12 -14 16 -15 18 -1 1 -3 4 -6 7 -2 3 -4 6 -4 7 0 0 3 1 6 1 4 1 6 +2 8 3 2 3 3 3 10 -2z m293 -14 c3 -1 11 -2 17 -2 l11 -1 1 -6 c1 -5 1 -6 -2 +-12 -2 -4 -3 -7 -3 -11 0 -6 0 -6 -4 -9 -2 -2 -5 -5 -7 -7 -1 -2 -3 -3 -4 -3 +0 0 -2 2 -4 5 -3 4 -3 5 -2 8 1 2 2 6 2 8 1 4 1 5 -2 9 -2 3 -2 4 -1 7 1 5 0 +8 -5 9 -4 0 -6 3 -5 5 1 1 1 1 8 0z m69 -6 c2 -1 6 -1 8 -1 2 1 8 1 14 0 5 -1 +17 -2 26 -3 9 0 21 -2 27 -2 6 -1 16 -2 23 -2 6 -1 12 -2 14 -2 1 -1 5 -1 10 +-2 4 0 12 0 17 -1 5 -1 15 -1 22 -2 6 0 12 -1 13 -1 1 -2 -4 -5 -7 -5 -4 0 -6 +-2 -9 -8 -2 -7 -2 -7 -6 -6 -3 1 -4 1 -8 -1 -2 -1 -7 -4 -9 -5 -4 -3 -5 -3 -9 +-3 -2 0 -10 0 -17 -1 -15 -1 -41 -3 -43 -3 -1 0 -9 -1 -19 -2 -14 -1 -19 -1 +-20 0 -2 1 -4 1 -6 0 -5 -3 -17 -3 -20 0 -2 1 -4 2 -5 2 -2 0 -5 4 -5 7 0 1 2 +4 3 6 5 5 6 12 4 19 -2 6 -6 10 -12 12 -8 3 -9 3 -10 1 -3 -2 -2 -5 3 -10 4 +-3 5 -5 6 -8 1 -7 -4 -10 -9 -7 -2 2 -3 2 -6 1 -5 -1 -5 -1 -5 1 -1 2 1 8 3 +11 2 2 2 2 1 5 -2 5 -1 6 4 8 8 4 18 5 27 2z m-83 -2 c0 -3 -3 -5 -6 -5 -4 0 +-5 2 -2 5 2 3 7 2 8 0z m-291 -7 c3 -3 9 -11 14 -17 17 -21 19 -24 24 -30 4 +-4 8 -9 11 -13 2 -3 8 -9 12 -14 13 -15 17 -20 17 -22 0 -1 -2 -3 -4 -4 -3 -1 +-9 -5 -14 -8 -6 -4 -11 -6 -11 -6 -2 1 -7 10 -7 12 0 1 1 2 2 4 3 3 2 6 -1 8 +-4 1 -11 10 -12 15 -1 3 -2 6 -3 7 -1 2 -5 12 -15 33 -3 5 -5 11 -6 13 -1 2 +-3 6 -5 9 -5 5 -9 13 -9 17 0 4 2 3 7 -4z m298 -8 c2 -3 2 -6 2 -9 -1 -3 -1 +-8 -1 -11 -1 -4 -1 -5 -6 -10 -4 -3 -8 -7 -10 -8 -2 -1 -5 -4 -8 -6 -5 -3 -8 +-4 -7 -1 1 1 1 3 2 5 0 2 2 4 5 7 3 2 6 4 7 4 5 0 7 2 7 10 1 6 1 7 -1 9 -1 1 +-2 4 -3 6 0 3 0 4 3 6 4 3 8 2 10 -2z m311 -5 c2 0 9 -1 17 -2 8 0 15 0 15 0 +1 0 4 0 7 0 5 1 6 1 10 -1 8 -3 7 -4 -6 -6 -4 0 -8 -1 -10 -2 -3 0 -5 -1 -7 +-3 -2 -2 -18 -10 -21 -10 -1 0 -3 1 -4 3 -3 2 -4 2 -11 2 -8 0 -9 0 -10 2 -1 +3 -1 4 0 7 1 3 1 4 0 6 -1 2 -2 3 -1 4 0 1 18 1 21 0z m-44 -5 c6 -3 8 -5 8 +-8 0 -2 -2 -3 -5 -2 -1 0 -4 1 -7 1 -6 1 -7 1 -9 -4 -2 -3 -5 -4 -6 -2 -1 1 +-1 3 -1 5 0 3 1 5 4 8 5 5 6 6 16 2z m137 -7 c0 -3 3 -42 2 -45 0 -3 -4 -6 +-18 -14 l-9 -5 -14 0 c-8 0 -32 0 -53 0 -22 0 -45 0 -51 -1 -7 -1 -13 -1 -14 +-1 -4 0 -2 3 6 8 7 4 10 5 14 5 5 1 5 0 8 9 2 3 3 4 12 8 5 2 12 6 15 7 12 8 +27 15 33 17 4 1 7 2 8 3 3 4 6 5 18 6 26 2 35 3 36 3 1 2 6 1 7 0z m25 -1 c5 +-1 11 -2 14 -3 2 -1 8 -2 11 -3 6 0 8 -1 10 -3 5 -4 4 -6 -10 -13 -7 -3 -15 +-8 -19 -10 -12 -7 -15 -8 -17 -8 -2 0 -3 5 -4 13 0 3 0 11 -1 16 0 13 -1 13 +16 11z m600 -4 c27 0 47 0 52 -1 4 -1 7 -1 8 -1 1 1 41 -1 59 -2 10 0 13 0 19 +0 1 0 10 0 20 -1 9 0 26 0 38 0 16 0 21 -1 21 -2 0 -1 -1 -1 -11 -3 -4 0 -13 +-2 -21 -4 -8 -2 -16 -3 -18 -3 -3 0 -8 -1 -13 -2 -5 -1 -15 -3 -23 -4 -8 -1 +-18 -3 -22 -4 -5 -1 -9 -2 -11 -2 -1 0 -6 -1 -11 -2 -5 0 -14 -2 -19 -3 -5 -1 +-11 -2 -13 -2 -2 -1 -8 -1 -14 -2 -6 -1 -13 -1 -15 -2 -3 -1 -9 -1 -13 -2 -9 +-1 -28 -4 -44 -8 -27 -6 -38 -8 -47 -8 -6 -1 -7 -1 -13 2 -5 4 -11 5 -20 6 -2 +1 -7 2 -11 2 -11 3 -18 4 -27 4 -5 1 -12 2 -16 3 -4 1 -14 3 -21 4 -8 1 -17 3 +-19 3 -3 0 -6 1 -7 0 0 0 -2 0 -4 1 -2 1 -7 1 -10 1 -23 2 -55 5 -60 6 -2 0 +-7 0 -11 0 -3 1 -10 1 -14 2 -16 2 -33 3 -56 4 -13 0 -24 1 -25 1 -1 2 2 3 6 +3 2 0 6 1 10 2 3 1 9 2 14 2 4 0 10 1 13 2 2 1 7 1 10 1 3 1 10 1 15 2 4 0 12 +1 16 2 4 0 8 1 10 1 2 1 6 1 8 1 2 0 6 0 9 1 5 1 36 3 59 2 43 0 100 0 108 1 +4 0 21 0 38 0 17 0 51 0 76 -1z m-973 -1 c2 -3 2 -3 1 -7 0 -3 -1 -6 -1 -7 0 +-2 -3 -8 -6 -11 -4 -5 -13 -7 -17 -5 -1 1 -2 4 -6 19 0 1 1 3 2 4 3 3 3 3 10 +2 l7 0 2 3 c2 2 4 4 4 4 1 0 2 -1 4 -2z m439 -9 c2 0 3 -2 4 -11 0 -4 1 -8 1 +-9 0 -1 1 -2 0 -3 0 -1 -8 -5 -16 -9 -2 0 -6 -2 -9 -4 -3 -1 -6 -3 -7 -2 -1 0 +-2 6 -4 18 -2 8 -1 9 6 13 4 2 4 2 6 0 1 -2 4 -1 5 4 1 2 2 4 2 4 1 1 8 0 12 +-1z m-488 -2 c1 -2 1 -4 0 -4 0 -2 -11 -11 -16 -14 -8 -5 -23 -22 -22 -25 2 +-2 5 -1 13 8 5 5 10 9 11 9 0 0 3 3 7 6 5 5 7 6 10 6 2 0 4 1 6 2 4 3 6 2 7 +-3 0 -4 0 -4 -6 -8 -7 -5 -11 -13 -10 -20 1 -2 1 -4 0 -5 -4 -2 -9 -3 -22 -2 +-16 0 -18 0 -18 -7 0 -6 -4 -7 -6 -1 -2 5 -4 6 -7 4 -6 -3 -3 -12 6 -18 4 -3 +6 -6 4 -7 -1 -2 -28 1 -33 2 -3 1 -5 2 -5 4 0 2 0 2 9 4 9 2 9 5 1 7 -5 0 -6 +3 -1 4 4 1 5 4 5 8 -1 2 0 4 4 8 4 5 6 6 10 8 7 1 7 2 16 10 10 9 32 26 34 26 +1 0 2 -1 3 -2z m292 -3 c0 -2 -5 -4 -6 -2 -1 0 -1 2 -1 2 1 3 7 3 7 0z m988 1 +c0 -2 -13 -7 -36 -15 -3 -1 -7 -3 -8 -4 -2 0 -7 -2 -12 -4 -9 -3 -23 -9 -34 +-14 -4 -1 -11 -4 -17 -6 -6 -2 -11 -5 -13 -5 -1 -1 -13 -6 -26 -11 -14 -6 -26 +-11 -28 -12 -4 -2 -27 -11 -44 -18 -4 -2 -11 -4 -15 -6 -18 -7 -26 -10 -32 +-12 -8 -2 -17 -6 -41 -14 -8 -3 -15 -6 -16 -6 -2 0 -3 2 -3 8 0 2 -1 7 -1 9 +-1 2 -2 8 -2 13 -1 5 -3 11 -3 13 -1 2 -2 7 -2 10 0 5 0 6 2 6 10 1 23 3 31 6 +4 1 7 2 9 2 1 -1 5 0 8 0 2 1 6 2 8 2 1 0 4 0 6 1 1 1 6 2 11 3 11 1 14 2 27 +5 5 1 13 3 17 4 4 0 12 2 18 3 6 2 16 4 23 6 14 3 27 6 36 9 4 1 9 2 11 2 1 0 +7 1 13 3 5 1 12 3 15 3 2 0 6 2 8 2 2 1 5 2 7 2 1 0 7 1 13 3 5 1 11 2 13 3 2 +0 3 1 4 1 0 1 3 1 6 1 3 0 8 1 11 2 4 0 11 2 16 3 9 3 20 4 20 2z m-1009 -7 +c0 -5 -1 -7 -2 -7 -2 -1 -5 1 -6 4 -1 1 -3 3 -3 3 -1 1 -2 2 -2 3 0 3 2 4 7 4 +l6 0 0 -7z m-73 3 c0 0 -1 -3 -4 -5 -2 -3 -4 -5 -5 -6 0 -2 -2 -3 -6 -3 -10 +-2 -42 -4 -53 -4 -6 0 -17 0 -24 -1 -9 -1 -14 -1 -14 0 -2 1 -3 8 -2 10 1 3 9 +7 12 6 1 -1 4 -1 7 0 3 1 8 1 11 1 3 0 9 0 13 1 8 1 34 3 54 3 8 0 10 0 11 -2z +m-134 -1 c0 -1 2 -2 5 -4 7 -3 9 -5 9 -10 0 -3 1 -6 4 -22 2 -8 0 -8 -14 -9 +-13 -1 -15 -1 -16 -1 0 1 1 3 3 7 6 9 7 14 7 21 0 5 -1 7 -2 7 -3 0 -4 -1 -5 +-7 -1 -9 -5 -17 -10 -23 l-5 -5 -9 0 c-16 2 -16 2 -19 7 -1 3 -2 6 -2 7 0 4 6 +13 8 13 3 0 5 -5 4 -9 0 -5 1 -7 6 -9 6 -2 7 -1 8 2 2 4 2 4 0 6 -1 1 -2 3 -3 +5 -1 3 -1 3 1 4 2 1 4 2 6 2 3 1 12 9 13 14 1 4 9 7 11 4z m156 -5 c1 -1 1 -2 +-1 -4 -1 -2 -2 -2 -7 -2 -4 0 -6 1 -6 1 0 1 1 2 3 4 4 2 9 3 11 1z m-267 -3 +c1 -2 -3 -8 -7 -10 -2 0 -5 -2 -8 -3 -3 -2 -4 -2 -7 -1 -3 1 -5 1 -7 0 -1 0 +-3 -1 -4 -1 -1 0 -4 -2 -6 -3 -5 -4 -8 -5 -9 -3 -1 0 -5 3 -10 6 -11 6 -15 8 +-14 10 1 2 2 2 6 2 3 -1 14 0 24 1 l19 1 2 -2 c2 -2 4 -4 6 -4 3 -2 3 -2 5 0 +1 1 2 3 2 4 -1 1 0 3 0 4 2 2 7 1 8 -1z m694 -2 c1 -1 -4 -3 -11 -3 -9 -1 -12 +-2 -12 -3 0 -1 1 -1 2 0 1 0 3 0 5 0 2 0 11 1 20 2 23 3 25 3 42 2 10 -1 16 +-2 18 -1 2 1 3 1 6 -2 3 -1 4 -3 3 -3 0 -1 -5 -2 -9 -2 -5 -1 -13 -3 -18 -4 +-6 -1 -12 -2 -14 -2 -6 -1 -15 -3 -20 -4 -6 -1 -23 -4 -30 -4 -3 -1 -9 -2 -13 +-3 -10 -3 -23 -4 -25 -3 0 1 -1 2 -1 4 0 1 -1 4 -2 7 -1 2 -2 5 -2 6 1 1 12 3 +27 5 3 0 5 1 5 1 0 1 -9 1 -14 0 -16 -4 -19 -4 -23 -3 -3 1 -3 1 -6 -1 -1 -2 +-3 -3 -4 -4 -2 0 -2 0 1 -1 4 -1 5 -2 1 -4 -3 -3 -5 -8 -5 -13 1 -5 0 -6 -11 +-7 -15 -2 -23 -3 -27 -4 -2 -1 -6 -2 -8 -2 -3 0 -5 0 -6 -1 0 0 -5 -1 -10 -2 +-6 -1 -13 -3 -16 -4 -3 -1 -8 -2 -11 -3 -4 -1 -8 -2 -10 -3 -1 0 -3 -1 -4 -1 +-1 0 -1 0 -1 -1 0 -2 16 0 25 4 2 1 11 3 20 4 9 1 17 3 18 3 3 1 4 2 25 5 7 1 +14 3 15 3 3 2 16 3 18 2 3 -1 5 -1 7 2 0 2 2 3 9 4 9 1 24 4 30 5 2 1 9 1 13 +2 5 1 10 2 11 2 2 1 7 2 21 4 4 1 11 2 15 3 3 1 9 2 13 2 4 0 10 1 14 2 23 5 +25 5 40 4 19 -2 26 -3 21 -6 -1 0 -10 -2 -20 -4 -10 -2 -19 -3 -19 -4 -1 0 -4 +-1 -8 -1 -12 -2 -21 -3 -32 -4 -6 -1 -11 -2 -11 -2 -1 -1 -4 -1 -6 -1 -3 0 +-10 -1 -16 -2 -5 -2 -12 -3 -14 -3 -2 0 -8 -1 -13 -2 -5 -1 -15 -3 -22 -4 -12 +-2 -29 -6 -36 -8 -2 -1 -8 -2 -13 -2 -5 -1 -12 -2 -14 -3 -3 -1 -9 -2 -14 -3 +-5 -1 -9 -2 -10 -2 -2 -1 -5 -2 -9 -3 -8 -1 -17 -3 -27 -6 -5 -2 -11 -3 -13 +-4 -7 -2 -11 -4 -11 -6 0 -1 1 -1 5 -1 2 1 5 1 5 2 1 0 4 1 8 2 4 1 9 3 12 3 +2 1 9 3 14 4 6 2 12 4 15 4 2 0 7 2 10 2 3 1 8 2 11 3 10 2 24 5 25 6 1 0 4 1 +6 1 3 0 8 1 10 2 3 1 8 2 11 3 3 1 8 2 12 2 4 1 9 1 12 2 3 1 8 1 11 1 3 1 6 +1 7 1 1 1 4 2 7 2 4 0 10 2 14 2 4 1 9 2 11 2 2 -1 4 -1 5 0 3 2 16 4 27 5 12 +1 27 3 39 6 4 0 10 1 13 2 3 1 8 2 12 3 4 0 10 1 14 2 3 1 9 1 12 2 5 1 13 1 +29 -2 7 -2 11 -3 8 -4 -6 -2 -15 -4 -20 -5 -4 0 -10 -1 -12 -1 -8 -1 -25 -4 +-43 -7 -3 0 -8 -1 -10 -2 -2 -1 -7 -2 -10 -2 -4 0 -8 -1 -10 -2 -2 0 -8 -2 +-13 -2 -13 -3 -20 -4 -27 -6 -4 -1 -13 -3 -21 -4 -8 -1 -17 -3 -20 -4 -4 0 +-12 -2 -19 -4 -7 -2 -15 -4 -19 -4 -4 -1 -13 -3 -20 -5 -25 -7 -34 -8 -37 -7 +-2 1 -2 1 -4 -1 -2 -1 -6 -3 -9 -4 -3 0 -7 -2 -9 -2 -1 -1 -6 -2 -10 -3 -11 +-2 -15 -3 -14 -4 0 -1 15 -1 17 0 3 2 19 6 22 6 1 0 5 1 8 2 6 2 20 6 23 6 2 +0 23 5 40 9 5 2 18 4 24 5 3 0 8 2 12 3 7 2 17 4 28 5 7 0 13 1 26 4 4 1 12 2 +17 2 11 2 23 4 30 7 3 1 6 1 7 1 1 0 17 2 30 5 3 0 7 1 8 1 1 0 3 0 6 1 4 1 +10 2 29 4 6 1 14 2 17 3 4 1 9 1 10 0 2 0 4 0 5 1 1 0 2 0 4 0 1 -1 4 -1 6 -1 +3 0 5 -1 6 -1 1 -1 5 -2 10 -3 12 -2 16 -5 8 -7 -3 0 -6 -1 -7 -2 -1 -1 -3 -1 +-4 0 -2 1 -4 1 -9 0 -7 -1 -7 -1 -10 1 -2 2 -3 2 -12 2 -10 -1 -33 -5 -33 -6 +0 -1 7 -4 10 -4 2 0 4 0 5 -1 1 -1 1 -1 -1 -3 -2 -2 -3 -2 -8 -2 -3 1 -6 1 -7 +0 -2 -1 -8 -3 -12 -4 -6 0 -9 1 -8 5 0 3 -2 3 -9 2 -13 -2 -27 -5 -30 -6 -3 0 +-8 -2 -11 -2 -4 -1 -11 -3 -15 -3 -4 -1 -12 -3 -17 -4 -5 -1 -17 -4 -25 -6 -9 +-2 -19 -4 -21 -4 -3 -1 -7 -1 -9 -2 -2 -1 -7 -2 -12 -2 -5 -1 -12 -2 -16 -3 +-4 0 -11 -1 -16 -2 -5 0 -13 -1 -19 -2 -12 -2 -52 -6 -73 -8 -9 -1 -18 -2 -21 +-2 -3 -1 -7 -1 -8 -1 -3 0 -17 -1 -31 -2 -6 -1 -15 -1 -20 -1 -6 -1 -16 -1 +-22 -2 -14 0 -14 -1 -15 12 -1 5 -1 13 -2 18 -1 10 0 12 5 15 2 1 8 4 12 7 5 +3 12 7 15 9 9 5 15 9 19 13 3 3 21 13 24 13 1 0 5 1 9 3 9 4 15 5 15 3 -1 -2 +-12 -10 -23 -17 -5 -2 -11 -6 -14 -8 -4 -3 -9 -6 -13 -8 -14 -7 -29 -18 -29 +-21 0 -2 3 -4 6 -4 1 0 2 1 3 3 3 6 15 16 19 15 2 -1 4 0 7 2 4 3 15 7 32 13 +3 1 8 3 10 3 2 1 12 4 23 6 10 3 20 6 22 6 4 1 6 3 5 4 -1 0 -25 -6 -39 -10 +-20 -6 -22 -7 -26 -7 -6 -1 -3 2 6 7 4 2 10 6 11 7 3 4 17 10 28 13 4 2 13 3 +18 4 6 1 11 1 12 2 5 2 74 2 76 0z m-208 -4 c1 0 1 -3 1 -4 0 -3 2 -15 4 -20 +0 -1 0 -3 -3 -5 -2 -2 -4 -3 -5 -3 -3 0 -4 2 -4 18 0 9 0 12 1 14 2 2 5 3 6 0z +m-560 -7 c20 -13 21 -14 22 -21 1 -2 2 -4 4 -7 4 -4 4 -4 -6 -10 -9 -4 -10 -5 +-10 -7 0 -3 7 -6 12 -6 3 0 5 0 6 -1 1 -1 18 -7 23 -7 3 -1 8 -1 11 -2 4 0 11 +-1 17 -2 10 0 12 -1 18 -4 4 -2 7 -4 8 -5 2 -1 5 -3 9 -4 3 -2 7 -4 9 -4 1 -1 +5 -2 9 -3 5 -1 6 -1 8 0 3 1 4 4 2 6 -1 0 -5 2 -8 3 -8 1 -17 5 -18 7 -2 3 1 +3 12 2 6 -1 13 -1 17 -2 4 0 12 0 19 -1 7 0 24 -1 42 0 16 0 38 0 48 0 12 0 +18 1 20 2 1 1 3 1 4 1 1 -1 3 -1 5 0 3 1 5 1 8 0 3 -1 11 -1 18 -1 13 0 14 -1 +17 -3 2 -2 4 -3 10 -3 10 -2 16 -1 23 0 3 1 8 2 12 2 3 0 12 1 20 2 7 0 18 1 +24 1 6 0 12 0 15 1 2 1 13 1 25 2 12 0 23 0 24 1 1 0 7 0 13 0 6 -1 15 -1 21 +-1 l11 0 2 -7 c0 -4 1 -10 1 -13 0 -6 0 -7 -2 -8 -1 0 -7 -1 -13 -1 -6 0 -15 +0 -18 -1 -8 -1 -33 -2 -71 -3 -13 0 -33 -1 -45 -1 -13 -1 -25 -1 -27 -1 -7 0 +-127 1 -140 1 -6 0 -21 1 -33 1 l-21 0 -2 3 c-1 2 -2 5 -2 7 0 3 0 4 -2 4 -1 +0 -3 -1 -5 -2 -2 -1 -3 -2 -4 -6 0 -4 -1 -5 -3 -6 -2 -1 -56 0 -75 2 -20 1 +-41 4 -53 6 -6 1 -14 3 -19 3 -26 3 -39 4 -48 6 -6 1 -14 3 -18 3 -42 5 -52 9 +-55 20 -1 3 -1 4 0 6 2 3 9 9 15 12 1 1 5 3 7 5 3 2 5 3 6 2 1 0 2 -2 3 -4 1 +-3 1 -3 -1 -7 -2 -4 -2 -6 1 -13 3 -7 16 -11 21 -6 4 3 1 17 -5 20 -2 1 -4 2 +-4 2 -2 0 -6 5 -7 10 0 3 2 7 5 7 1 0 2 1 4 2 6 4 36 15 56 21 2 1 7 3 11 4 3 +1 6 1 7 1 1 0 5 -3 10 -5z m311 1 c2 -2 1 -3 -10 -3 -12 0 -12 0 -10 1 0 1 3 +1 5 1 3 0 6 0 8 1 4 1 6 1 7 0z m-25 -3 c0 0 0 -1 -1 -1 -2 -1 -10 -1 -10 -1 +0 1 1 2 3 2 2 2 6 2 8 0z m-15 -2 c-1 -1 -3 -1 -4 -1 -2 0 -5 0 -7 -1 -2 0 +-11 -2 -20 -2 -10 -1 -19 -2 -21 -3 -3 0 -4 0 -4 1 1 2 5 3 20 5 6 0 11 1 13 +1 4 1 23 1 23 0z m267 -2 c0 -1 1 -5 1 -8 0 -5 0 -6 3 -9 1 -1 3 -3 5 -4 1 -1 +1 -1 0 -3 -1 -2 -10 -8 -12 -8 -2 0 -3 5 -4 19 0 12 0 13 2 15 2 2 4 1 5 -2z +m-184 0 c2 0 4 -1 4 -2 0 -1 -5 -5 -7 -5 -1 0 -2 -1 -3 -2 -1 -1 -5 -3 -7 -5 +-3 -2 -6 -4 -7 -5 -2 -2 -6 -2 -33 -2 -31 -1 -47 -2 -71 -5 -8 -1 -14 -1 -15 +-1 -1 1 0 15 1 16 1 1 12 3 19 3 4 0 10 0 15 1 17 2 55 5 71 5 14 1 23 2 24 3 +0 1 1 1 2 1 2 -1 4 -1 7 -2z m996 1 c0 -1 -2 -2 -5 -4 -2 -2 -6 -4 -8 -5 -2 +-1 -9 -5 -15 -9 -6 -3 -14 -8 -18 -10 -4 -2 -11 -7 -17 -10 -7 -3 -12 -7 -13 +-8 -1 0 -2 -1 -2 -1 -2 0 -25 -14 -34 -20 -5 -3 -9 -5 -10 -5 0 0 -2 -1 -4 -2 +-2 -2 -5 -3 -6 -3 -2 -1 -13 -8 -30 -19 -4 -2 -11 -7 -17 -11 -6 -3 -13 -8 +-14 -9 -2 -2 -5 -3 -7 -4 -2 -1 -9 -5 -15 -9 -10 -7 -41 -24 -46 -26 -2 -1 -4 +1 -5 7 0 3 -2 10 -3 16 -3 13 -3 17 -3 20 1 2 3 4 9 7 5 2 9 4 10 4 1 0 2 1 4 +1 2 2 14 7 20 9 2 1 4 2 5 2 0 1 1 1 2 1 1 0 3 1 4 3 2 1 4 2 5 1 1 0 4 1 8 2 +3 2 7 3 9 3 1 1 5 2 9 4 3 2 8 4 12 5 3 0 9 3 13 4 3 2 12 6 19 8 7 3 16 7 20 +8 7 3 8 4 23 11 5 2 17 7 27 11 10 4 21 8 23 10 3 1 7 3 8 3 1 0 5 2 8 3 2 1 +9 4 15 6 6 2 12 5 13 5 3 2 6 2 6 1z m-828 -12 c1 -3 1 -9 2 -15 l1 -11 -4 -5 +c-3 -3 -4 -4 -7 -4 -5 0 -6 2 -6 9 1 4 2 6 4 8 3 3 3 3 2 7 -2 7 -1 11 1 13 3 +3 6 2 7 -2z m-106 -12 c2 -1 3 -4 5 -15 2 -13 3 -12 -6 -13 -5 -1 -8 -1 -8 0 +-1 1 -2 7 -2 15 0 13 0 13 2 14 3 1 6 0 9 -1z m65 0 c1 0 1 -5 0 -11 0 -13 -1 +-14 -10 -14 -5 0 -7 0 -8 1 -2 4 0 19 3 22 2 2 4 3 9 3 3 -1 6 -1 6 -1z m17 +-1 c2 -1 1 -5 -2 -12 -2 -4 -3 -8 -3 -9 0 0 -1 -1 -2 -2 -2 -1 -3 -1 -4 1 -2 +2 -2 3 -2 9 1 4 1 8 1 10 1 2 1 4 2 4 1 1 8 0 10 -1z m-113 0 c0 -1 1 -4 1 -8 +0 -4 1 -8 2 -10 2 -4 5 -6 4 -2 -1 1 -1 6 -2 10 0 7 0 8 2 10 2 1 7 1 7 0 1 0 +1 -4 2 -9 0 -5 0 -9 1 -11 0 -1 -1 -3 -3 -5 -4 -3 -8 -5 -14 -5 l-5 0 -2 7 +c-2 15 -3 19 -2 20 0 0 0 2 0 3 1 1 7 2 9 0z m53 0 c1 -2 1 -23 0 -25 -1 0 -3 +-1 -6 -1 -4 0 -4 0 -5 4 -1 2 -2 7 -2 12 -2 10 -1 11 7 11 3 0 5 -1 6 -1z m20 +-3 c0 -7 -2 -20 -2 -21 -1 0 -3 -1 -6 -1 -6 -1 -7 0 -7 8 0 6 2 16 3 17 1 1 4 +1 7 1 l6 0 -1 -4z m-327 -4 c-1 -6 -3 -11 -4 -11 0 0 -1 -1 -2 -3 l-2 -3 -10 +0 c-12 0 -13 1 -15 6 0 2 -2 4 -3 5 -4 1 -7 6 -6 7 0 1 3 1 6 0 3 -1 7 -1 11 +0 3 0 6 0 7 0 5 -2 7 -1 11 2 3 3 4 4 6 3 1 -1 1 -3 1 -6z m238 -3 c0 -5 0 +-12 -1 -15 l-1 -6 -4 0 -3 0 -1 10 c-1 5 -1 12 -2 14 -2 5 0 7 8 7 l4 0 0 -10z +m-201 2 c1 -1 3 -3 4 -4 2 -1 2 -1 0 -5 -1 -2 -4 -5 -6 -7 -3 -2 -4 -2 -8 -2 +-7 0 -9 1 -10 3 0 3 -2 4 -5 4 -3 0 -5 2 -4 6 1 3 7 6 12 6 2 0 5 1 7 1 4 2 5 +2 10 -2z m169 1 c2 -2 2 -3 2 -8 0 -2 -1 -5 -1 -6 -1 0 -11 -1 -24 -1 -13 -1 +-32 -1 -42 -2 -10 -1 -25 -1 -34 -1 -9 -1 -24 -1 -35 -2 -20 -1 -24 -1 -24 3 +0 1 2 3 5 6 5 4 6 4 13 5 4 0 11 1 16 2 20 4 41 6 82 6 38 0 40 -1 42 -2z +m578 -9 c1 -1 1 -1 -2 -4 l-3 -3 -8 1 c-7 0 -8 1 -8 2 0 1 2 2 6 2 2 1 6 1 9 +2 2 0 4 1 4 1 0 0 1 0 2 -1z m-50 -39 c-1 -4 -2 -4 -3 -1 0 2 1 4 2 4 1 0 1 +-1 1 -3z m154 -71 c0 -1 0 -2 -1 -2 -1 -1 -3 1 -3 2 1 1 4 1 4 0z m34 -35 c-1 +-1 -5 -2 -8 -3 -4 -1 -8 -1 -8 -2 -1 0 -2 0 -2 1 0 3 7 5 13 5 6 0 6 0 5 -1z"/> +<path d="M788 1766 c0 -1 -3 -6 -5 -10 -3 -5 -7 -11 -9 -13 -1 -2 -3 -5 -3 -5 +0 -1 -2 -4 -4 -7 -2 -3 -4 -8 -4 -10 -1 -1 -3 -5 -5 -7 -11 -14 -12 -16 -12 +-20 0 -3 -1 -5 -5 -10 -3 -3 -6 -6 -7 -8 -1 -3 -11 -14 -13 -14 0 0 -2 -1 -2 +-2 -2 -4 -12 -15 -18 -21 -3 -2 -7 -6 -9 -9 -3 -2 -6 -4 -8 -6 -1 -1 -4 -3 -6 +-6 -4 -4 -10 -6 -14 -4 -2 1 -3 1 -7 -1 -4 -2 -6 -4 -7 -5 -1 -2 1 -6 4 -8 4 +-3 7 -3 10 0 2 2 8 6 11 6 1 0 13 10 14 12 1 0 2 1 2 1 2 0 14 12 32 30 6 7 +12 12 12 12 0 0 1 1 2 3 1 2 3 6 6 8 5 6 8 13 8 16 -1 2 1 5 5 5 2 0 3 1 4 5 +1 2 2 5 2 5 3 1 6 6 6 8 -1 1 1 5 5 10 4 6 6 10 6 12 0 1 2 6 5 11 9 16 10 18 +10 20 -1 3 -4 4 -6 2z"/> +<path d="M792 1705 c-1 -1 -7 -11 -12 -22 -6 -11 -13 -24 -15 -28 -5 -6 -11 +-13 -13 -13 -1 0 -2 -1 -2 -3 -1 -2 -4 -5 -7 -8 -2 -3 -4 -6 -4 -7 0 -1 -7 -9 +-9 -9 0 0 -4 -4 -9 -8 -4 -5 -11 -12 -16 -17 -5 -4 -10 -9 -11 -11 -2 -2 -4 +-2 -7 -2 -5 0 -6 -3 -3 -7 1 -1 3 -3 3 -3 0 0 2 1 5 2 3 1 6 2 7 2 1 0 5 3 10 +7 4 4 8 8 9 8 2 1 21 21 21 22 0 1 2 3 4 5 5 5 9 11 13 16 1 2 3 5 4 6 2 1 4 +5 5 7 2 3 5 7 7 10 1 2 3 5 4 6 0 1 1 4 3 7 3 4 3 5 11 23 6 12 7 17 5 18 -1 +1 -2 0 -3 -1z"/> +<path d="M814 1670 c-2 -1 -5 -8 -12 -26 -2 -5 -6 -13 -10 -19 -3 -5 -6 -10 +-6 -11 0 -1 -5 -9 -9 -13 -1 -2 -4 -6 -6 -9 -2 -3 -4 -5 -4 -5 0 0 -1 -1 -2 +-3 -3 -5 -10 -13 -22 -26 -12 -11 -20 -17 -24 -17 -2 0 -3 -1 -4 -1 -1 -2 0 +-3 2 -5 4 -5 5 -5 10 -2 1 1 4 3 6 4 2 1 5 3 7 5 2 2 4 4 5 4 1 0 24 24 29 32 +1 2 4 5 5 7 1 1 3 2 3 4 1 1 3 4 5 6 1 2 4 6 5 9 1 2 2 4 3 5 0 1 2 4 4 8 2 4 +4 8 5 9 6 11 17 40 16 43 -1 3 -3 4 -6 1z"/> +<path d="M664 1663 c-8 -6 -15 -12 -16 -12 -1 0 -3 -2 -5 -4 -3 -2 -6 -4 -7 +-4 -1 -1 -3 -2 -4 -4 -1 -2 -4 -4 -6 -5 -5 -1 -6 -2 -3 -4 1 -2 8 -1 12 2 2 1 +6 3 8 5 3 3 7 6 10 9 3 2 7 5 9 7 2 2 5 4 6 5 2 2 2 2 1 4 -1 3 -2 4 -5 1z"/> +<path d="M828 1622 c-1 -1 -3 -6 -4 -9 -2 -6 -3 -7 -5 -8 -2 -1 -3 -2 -2 -4 0 +-3 -1 -5 -3 -9 -10 -18 -16 -30 -22 -37 -1 -3 -3 -5 -3 -6 0 -2 -7 -11 -12 +-16 -3 -3 -5 -6 -5 -7 0 0 -2 -2 -4 -4 -3 -2 -5 -4 -6 -5 -1 -4 -8 -11 -11 +-11 -2 0 -6 -3 -6 -5 0 -2 4 -4 7 -4 4 -1 4 -1 15 10 6 6 13 14 17 19 3 4 7 +10 9 12 2 3 4 6 5 7 1 2 4 7 7 12 10 16 26 51 28 60 0 3 0 5 -1 6 -2 3 -3 2 +-4 -1z"/> +<path d="M844 1588 c-2 -3 -6 -14 -6 -16 0 -1 -2 -4 -4 -7 -2 -3 -4 -7 -5 -9 +0 -2 -2 -5 -3 -7 -1 -1 -4 -7 -6 -12 -3 -5 -6 -11 -7 -12 -2 -1 -3 -4 -4 -6 +-3 -5 -10 -15 -15 -21 -3 -4 -8 -10 -11 -15 -6 -7 -12 -14 -14 -14 -2 0 -1 -4 +1 -6 l2 -2 3 2 c2 2 4 3 4 3 2 0 11 9 14 14 3 5 7 11 12 17 7 8 8 9 14 20 3 6 +6 12 7 14 2 1 3 4 4 6 1 3 3 9 6 14 10 20 15 35 13 38 -2 2 -4 1 -5 -1z"/> +<path d="M861 1533 c0 -1 -2 -5 -3 -10 -4 -9 -4 -9 -7 -9 -3 0 -5 -1 -7 -7 -1 +-3 -3 -7 -5 -10 -1 -2 -4 -7 -6 -11 -2 -4 -6 -11 -8 -15 -3 -5 -7 -10 -8 -12 +-1 -3 -5 -7 -8 -11 -7 -6 -7 -6 -6 -8 3 -4 4 -5 8 -2 1 1 4 2 5 2 1 0 2 1 3 3 +1 2 3 4 5 5 2 1 3 2 3 4 0 1 1 2 2 3 0 1 1 2 1 3 0 0 3 7 7 15 4 8 9 17 10 21 +2 4 5 8 7 10 2 2 3 5 4 7 1 3 2 7 3 9 2 6 4 14 2 14 0 0 -1 0 -2 -1z"/> +<path d="M868 1480 c-1 -1 -2 -2 -2 -2 0 -2 -5 -11 -6 -13 -1 -1 -2 -3 -2 -4 +-2 -6 -14 -29 -19 -34 -1 -3 -3 -6 -4 -7 -1 -2 -4 -6 -6 -8 -5 -6 -5 -10 -2 +-12 5 -3 5 -3 14 8 1 2 4 6 6 10 2 4 5 7 5 8 1 1 2 2 2 4 0 1 2 5 4 10 2 4 4 +8 4 8 0 1 1 3 2 5 3 6 10 25 10 27 -1 1 -3 1 -6 0z"/> +<path d="M889 1440 c-3 -5 -6 -11 -7 -15 -2 -6 -11 -24 -14 -29 -1 -1 -4 -5 +-6 -9 -2 -4 -5 -7 -7 -8 -3 -2 -4 -5 -1 -8 2 -3 4 -3 13 4 6 5 7 6 9 11 0 3 3 +8 5 12 2 3 4 7 4 7 0 1 1 4 3 7 7 16 12 32 10 35 -2 3 -4 2 -9 -7z"/> +<path d="M911 1411 c-3 -2 -5 -11 -4 -15 0 -1 1 -3 2 -3 1 0 6 12 7 17 0 3 0 +3 -2 3 -1 0 -3 -1 -3 -2z"/> +<path d="M894 1370 c-3 -5 -15 -20 -16 -20 -2 0 -3 -4 -2 -6 2 -3 5 -3 9 -1 5 +4 9 8 11 15 1 3 2 7 3 8 1 1 2 4 2 6 1 1 1 2 0 1 0 -2 -3 -1 -3 1 0 2 -2 1 -4 +-4z"/> +<path d="M926 1363 c-7 -13 -13 -25 -18 -31 -3 -4 -4 -7 -2 -9 5 -4 16 9 27 +34 2 5 4 10 4 11 0 2 -3 6 -5 6 0 0 -3 -5 -6 -11z"/> +<path d="M950 1350 c-1 -2 -3 -7 -5 -11 -2 -4 -4 -8 -5 -9 0 -1 -1 -2 -1 -3 0 +-2 -6 -15 -9 -19 -1 -2 -2 -5 -2 -7 0 -2 0 -3 3 -4 3 0 7 3 8 9 1 2 3 7 4 10 +3 5 7 14 11 30 2 7 0 9 -4 4z"/> +<path d="M961 1309 c-2 -5 -4 -10 -5 -13 -1 -2 -2 -5 -4 -8 -2 -5 -3 -9 -1 +-11 2 -1 5 3 11 19 7 18 7 20 5 21 -2 0 -3 -2 -6 -8z"/> +<path d="M986 1286 c-1 -2 -1 -4 0 -4 1 0 2 2 2 4 0 1 -1 1 -2 0z"/> +<path d="M1220 1273 c-1 -1 0 -9 2 -17 2 -8 4 -19 5 -25 0 -7 2 -14 2 -17 1 +-4 2 -11 3 -15 1 -5 2 -13 3 -17 0 -4 1 -9 1 -11 0 -3 0 -6 1 -8 1 -4 1 -4 4 +-4 4 1 5 3 3 7 -1 2 -2 7 -3 11 0 3 -1 9 -2 13 -2 7 -4 16 -5 23 0 2 0 5 -1 6 +-1 1 -1 4 -1 7 0 2 -1 8 -2 13 -1 5 -2 11 -3 15 -2 9 -5 19 -6 20 0 0 -1 -1 +-1 -1z"/> +<path d="M1247 1242 c0 -1 1 -6 2 -12 2 -5 4 -12 4 -16 0 -3 2 -11 3 -17 2 -6 +4 -17 5 -24 2 -13 6 -38 8 -45 1 -5 4 -5 7 -1 1 2 2 4 2 8 0 5 0 6 -3 8 -3 3 +-4 5 -5 10 0 3 -2 13 -4 22 -2 9 -3 20 -4 24 -1 3 -2 9 -3 13 0 3 -2 10 -3 16 +-1 5 -3 11 -3 12 -1 3 -5 4 -6 2z"/> +<path d="M1549 843 c-2 -1 -1 -5 3 -15 3 -10 9 -21 13 -24 2 -2 5 -2 5 0 0 1 +-3 6 -6 12 -6 11 -10 20 -10 24 0 1 -2 4 -3 4 0 0 -1 0 -2 -1z"/> +<path d="M1597 776 c-3 -2 4 -14 7 -13 3 1 2 3 -1 8 -4 5 -5 7 -6 5z"/> +<path d="M476 1492 c-1 -12 -2 -26 -1 -28 1 -4 2 -1 3 9 1 12 0 17 -1 18 -1 1 +-1 1 -1 1z"/> +<path d="M497 1477 c0 -1 -1 -12 -1 -24 -1 -12 -2 -26 -2 -30 -2 -10 -7 -34 +-10 -42 0 -3 -1 -6 -1 -7 0 -5 5 0 6 6 0 2 1 7 2 11 4 11 7 25 8 34 1 4 1 10 +2 13 1 7 0 39 -2 40 -1 1 -1 1 -2 -1z"/> +<path d="M499 1291 c-2 -7 -2 -8 -1 -8 2 0 3 5 3 9 0 1 -1 1 -2 -1z"/> +<path d="M161 547 c-1 -2 -1 -3 -1 -4 1 0 3 4 3 6 0 1 -1 0 -2 -2z"/> +<path d="M1204 849 c0 -1 1 -5 2 -8 0 -3 1 -6 0 -7 0 -2 0 -5 1 -8 3 -10 9 +-37 10 -48 1 -3 2 -9 2 -11 1 -3 2 -10 3 -15 0 -5 1 -11 1 -12 2 -6 4 -19 5 +-28 0 -7 0 -14 1 -17 1 -4 1 -9 2 -13 0 -12 0 -13 1 -12 1 0 1 4 1 12 -2 36 +-3 46 -5 52 0 4 -1 9 -1 12 -1 3 -2 10 -3 15 -1 4 -3 13 -4 18 -1 8 -2 11 -6 +31 -3 16 -8 36 -9 40 -1 1 -1 1 -1 -1z"/> +<path d="M1249 770 c0 -5 1 -7 5 -25 2 -7 4 -19 5 -27 2 -12 2 -14 1 -16 -1 +-2 -1 -5 0 -12 1 -10 3 -25 4 -42 1 -6 1 -15 2 -19 2 -16 3 -77 2 -84 -1 -3 +-1 -11 -1 -19 -1 -8 -1 -19 -2 -24 -1 -9 -2 -15 -5 -32 0 -3 -2 -11 -4 -17 -5 +-17 -5 -21 -1 -19 3 1 8 15 10 27 1 4 2 9 3 12 1 4 2 19 4 41 2 29 3 42 2 54 +0 7 -1 21 -1 32 -1 11 -1 21 -1 21 -1 1 -2 9 -5 39 0 8 -1 18 -2 23 -1 7 -1 8 +0 9 2 1 -3 36 -7 49 -1 3 -3 8 -3 11 -1 9 -3 15 -5 19 l-2 4 1 -5z"/> +<path d="M1335 700 c-1 -2 0 -6 1 -9 0 -4 2 -8 2 -11 1 -2 2 -5 2 -7 1 -1 3 +-7 4 -11 1 -5 3 -11 4 -14 1 -2 2 -6 3 -8 0 -2 1 -5 2 -7 2 -5 1 -6 -1 -5 -2 +0 -2 0 -2 -7 1 -3 2 -12 3 -18 4 -17 6 -44 7 -71 1 -8 1 -17 2 -21 1 -9 1 -36 +-1 -46 -4 -18 -5 -27 -4 -28 1 -1 1 -1 2 0 2 2 5 12 6 23 1 6 3 14 3 17 1 6 0 +30 -3 63 0 11 -2 25 -2 31 -1 12 -2 21 -6 37 -2 9 -2 11 0 11 4 0 3 8 -2 21 +-2 5 -5 13 -6 19 -2 5 -5 15 -7 22 -2 6 -4 13 -4 15 0 7 -2 9 -3 4z"/> +<path d="M1297 683 c0 -3 1 -7 2 -11 2 -9 3 -17 4 -30 0 -7 1 -13 2 -14 1 -2 +1 -7 1 -11 0 -5 0 -10 1 -12 0 -2 1 -6 1 -10 0 -3 1 -8 1 -10 1 -5 0 -8 -2 -8 +-2 0 -2 0 -2 -9 1 -6 1 -12 2 -14 1 -3 1 -18 1 -33 0 -32 -1 -42 -6 -58 -2 -5 +-3 -10 -3 -12 0 -5 7 -2 10 5 0 2 2 8 3 14 2 9 2 13 2 33 -1 17 -1 24 -3 28 0 +4 -1 7 -1 8 1 1 0 6 0 10 -1 5 -1 9 0 9 1 2 3 -2 3 -6 1 -4 2 -6 2 -4 0 5 0 +21 -1 29 -1 5 -2 17 -2 27 -1 10 -2 19 -3 21 0 2 -1 10 -2 18 -1 13 -2 17 -5 +30 -1 2 -1 5 -1 6 0 2 -1 4 -2 5 l-2 3 0 -4z"/> +<path d="M1231 661 c1 -3 1 -7 2 -8 1 -3 2 3 1 9 -2 7 -3 7 -3 -1z"/> +<path d="M1234 640 c0 -3 0 -6 1 -7 1 -1 1 1 1 5 0 4 0 7 -1 8 -1 0 -1 -2 -1 +-6z"/> +<path d="M1385 639 c0 -1 1 -6 2 -10 0 -5 1 -11 2 -14 0 -3 1 -7 2 -8 0 -2 2 +-8 2 -14 1 -7 3 -15 3 -19 3 -14 4 -21 6 -31 2 -18 5 -36 6 -44 1 -4 2 -11 2 +-14 1 -4 2 -10 2 -12 2 -13 3 -28 1 -38 -1 -12 -1 -12 0 -12 3 0 4 3 6 13 1 8 +1 11 0 18 0 4 -1 13 -2 19 -1 6 -2 14 -2 16 -1 2 -2 8 -2 13 -1 9 -7 42 -8 46 +-1 2 -3 15 -4 22 0 2 -1 7 -2 11 -1 4 -2 12 -3 16 -1 5 -2 11 -3 14 -1 4 -2 8 +-2 9 1 1 0 4 -1 6 0 1 -1 5 -1 6 0 4 -2 9 -3 9 -1 0 -1 -1 -1 -2z"/> +<path d="M1235 609 c1 -12 1 -26 1 -32 0 -9 1 -12 2 -8 1 1 1 8 1 16 0 8 0 18 +0 22 -1 10 -2 23 -3 24 -1 0 -1 -7 -1 -22z"/> +<path d="M1434 615 c1 -6 4 -19 8 -33 2 -7 5 -17 6 -21 1 -5 2 -12 4 -15 1 -4 +2 -8 2 -10 0 -4 2 -13 4 -17 0 -2 2 -8 3 -13 0 -6 1 -11 2 -12 1 -3 3 -15 6 +-30 2 -11 2 -26 1 -35 -1 -5 0 -7 2 -4 2 4 4 21 3 26 -1 2 -2 9 -2 15 -1 6 -2 +14 -3 18 -1 4 -3 9 -3 12 -1 7 -10 47 -11 49 0 1 -1 5 -2 9 -1 3 -3 12 -5 20 +-2 7 -5 16 -6 21 -3 12 -7 23 -9 23 -1 0 -1 -1 0 -3z"/> +<path d="M1304 584 c0 -2 0 -4 1 -5 1 0 1 1 0 4 0 6 -1 6 -1 1z"/> +<path d="M1486 585 c0 -3 3 -15 5 -19 1 -1 2 -5 3 -9 1 -4 3 -11 5 -16 1 -5 3 +-12 4 -15 4 -16 8 -35 9 -42 1 -4 3 -11 4 -14 3 -10 3 -19 2 -28 -1 -5 -1 -8 +-1 -9 1 -1 5 3 6 6 1 3 -1 22 -3 34 -6 21 -8 32 -8 34 0 3 -4 19 -5 21 0 0 -1 +4 -2 8 -2 7 -8 24 -12 37 -2 5 -4 10 -4 12 -1 4 -3 4 -3 0z"/> +<path d="M1236 556 c-1 -9 0 -13 1 -9 1 2 1 18 0 18 0 1 -1 -3 -1 -9z"/> +<path d="M1543 562 c0 -1 2 -6 4 -10 5 -13 8 -22 8 -25 0 -3 3 -12 9 -24 2 -5 +4 -11 5 -14 1 -2 3 -7 4 -9 2 -5 3 -9 6 -25 1 -3 2 -8 3 -11 1 -4 1 -6 0 -10 +-1 -4 -1 -6 2 -6 3 0 5 9 3 17 -3 15 -5 24 -8 33 -3 9 -6 17 -8 22 -2 2 -3 6 +-4 9 0 2 -2 7 -3 11 -2 4 -4 9 -5 11 -10 27 -12 31 -14 32 0 0 -1 -1 -2 -1z"/> +<path d="M1598 524 c-1 -2 0 -4 2 -14 2 -7 5 -15 6 -18 1 -3 2 -5 1 -7 -1 -4 +0 -6 2 -7 1 0 2 -1 3 -2 2 -3 7 -20 10 -32 2 -7 4 -13 5 -14 2 -2 2 -5 1 -10 +-1 -3 -1 -4 0 -5 2 -2 5 2 5 6 0 4 -2 10 -3 12 -1 0 -2 3 -3 7 -2 10 -8 30 +-11 37 -1 2 -2 5 -2 9 0 3 -1 7 -2 9 -3 6 -7 15 -9 22 -2 8 -3 9 -5 7z"/> +<path d="M1654 471 c-1 -1 0 -5 4 -12 8 -18 11 -24 12 -28 0 -3 2 -7 2 -9 2 +-4 3 -15 1 -15 -2 -1 -1 -5 0 -5 3 0 6 5 6 8 0 1 -1 8 -3 15 -2 10 -7 23 -12 +31 -1 1 -3 5 -4 7 -3 6 -6 10 -6 8z"/> +<path d="M1704 438 c2 -4 5 -10 7 -15 6 -13 7 -16 7 -20 0 -4 1 -6 3 -4 2 2 0 +13 -6 25 -5 10 -11 20 -12 20 -1 0 0 -3 1 -6z"/> +<path d="M1744 435 c-1 -1 1 -6 7 -15 2 -4 7 -12 10 -17 2 -5 5 -9 5 -9 3 0 2 +4 -2 10 -2 3 -4 9 -6 12 -2 4 -13 20 -13 20 -1 0 -1 0 -1 -1z"/> +<path d="M1587 424 c-1 0 -1 -3 -1 -6 0 -4 0 -5 1 -5 2 0 3 2 3 6 0 3 -2 7 -3 +5z"/> +<path d="M1783 410 c0 -1 1 -3 2 -6 1 -2 5 -8 7 -13 3 -6 6 -10 7 -10 1 -1 1 +4 -2 9 -7 14 -9 18 -11 19 -2 2 -3 3 -3 1z"/> +<path d="M1826 398 c-1 0 1 -4 2 -7 2 -4 5 -9 6 -13 1 -4 3 -6 4 -6 1 0 1 1 1 +4 -1 7 -12 25 -13 22z"/> +<path d="M977 1142 c-1 0 0 -4 1 -8 3 -14 3 -21 5 -56 1 -16 1 -24 0 -25 -1 +-1 -1 -3 0 -4 2 -3 2 -116 0 -130 -1 -6 -1 -12 -2 -15 -3 -37 -4 -49 -6 -56 0 +-4 -1 -10 -2 -14 0 -7 -1 -16 -4 -32 -1 -11 -1 -10 -7 -40 -6 -30 -5 -29 -8 +-33 -1 -2 -1 -4 0 -7 1 -6 3 -5 5 3 3 10 10 40 13 58 2 9 3 17 4 18 0 1 1 6 1 +10 1 3 2 10 2 15 4 19 7 47 10 78 5 46 5 104 2 175 -2 34 -5 54 -10 61 -2 3 +-3 4 -4 2z"/> +<path d="M946 1130 c-2 -4 0 -49 3 -70 1 -5 1 -21 1 -36 0 -20 0 -27 1 -27 2 +1 3 7 4 31 0 21 0 31 -3 59 -1 4 -1 16 -1 25 -1 9 -1 17 -2 18 0 3 -3 2 -3 0z"/> +<path d="M902 1062 c-1 -3 -2 -7 -2 -10 -1 -9 -3 -17 -4 -26 -2 -7 -3 -16 -7 +-40 0 -4 -2 -11 -3 -15 -1 -5 -2 -13 -3 -17 -1 -4 -2 -10 -2 -12 -1 -7 0 -9 2 +-3 1 3 2 6 2 8 1 2 2 9 4 17 1 7 2 14 3 16 1 1 1 4 1 5 0 4 2 17 4 25 1 3 2 +10 3 15 2 15 5 35 6 37 1 1 0 4 -2 4 0 0 -1 -2 -2 -4z"/> +<path d="M960 951 c0 -2 -2 -12 -4 -24 -5 -34 -6 -38 -8 -44 0 -4 -2 -9 -2 +-12 0 -3 -1 -7 -2 -8 0 -1 -1 -6 -1 -9 -1 -4 -2 -12 -3 -17 -1 -5 -3 -16 -5 +-24 -1 -8 -4 -23 -6 -33 -2 -10 -3 -18 -3 -19 1 -1 5 4 5 6 0 1 1 5 2 8 1 3 2 +9 3 14 1 5 2 9 2 10 1 1 1 4 2 5 0 2 1 8 2 14 2 12 5 30 8 48 1 9 2 12 3 14 2 +2 3 5 4 19 1 8 3 19 4 23 0 5 1 12 1 16 0 5 0 9 1 11 1 2 0 4 -1 4 -1 0 -1 -1 +-2 -2z"/> +<path d="M1018 923 c0 -2 1 -12 3 -19 0 -2 0 -5 0 -6 1 -2 1 -4 2 -5 0 -1 0 +-4 0 -6 0 -1 1 -6 1 -11 1 -4 2 -10 3 -13 0 -5 2 -8 4 -6 1 1 -1 17 -4 32 -1 +5 -3 12 -3 16 -2 10 -5 20 -5 21 -1 0 -1 -1 -1 -3z"/> +<path d="M1009 883 c-1 -1 -3 -13 -4 -26 -5 -46 -5 -45 -2 -45 2 0 3 1 4 20 2 +24 3 39 4 44 1 5 1 8 -1 8 -1 0 -1 0 -1 -1z"/> +<path d="M759 941 c-1 -3 -4 -12 -6 -21 -2 -9 -5 -19 -5 -22 -1 -4 -3 -9 -3 +-11 0 -2 -1 -5 -2 -6 0 -3 0 -3 1 -3 1 0 2 4 3 8 1 4 2 9 3 11 1 2 3 5 3 8 0 +2 1 6 2 8 1 3 7 23 8 28 1 3 0 6 -1 6 0 0 -2 -3 -3 -6z"/> +<path d="M785 885 c0 -7 0 -13 0 -14 -1 0 -2 -6 -2 -13 -1 -7 -3 -17 -5 -22 +-1 -5 -2 -11 -2 -12 0 -3 -2 -14 -6 -27 0 -3 -2 -11 -4 -18 -1 -8 -4 -19 -5 +-25 -2 -6 -3 -13 -4 -15 -1 -2 -3 -9 -5 -15 -1 -7 -4 -16 -6 -21 -1 -6 -4 -14 +-5 -18 -2 -4 -6 -18 -10 -31 -7 -21 -11 -30 -17 -45 -1 -4 -3 -9 -4 -12 0 -4 +-2 -7 -2 -7 -1 -2 -6 -15 -10 -27 -2 -6 -6 -16 -8 -23 -6 -14 -6 -17 -4 -18 0 +0 2 2 3 5 1 2 3 6 3 7 1 1 2 5 3 7 1 2 3 8 5 13 2 4 4 11 5 15 2 3 4 9 5 12 2 +4 3 7 3 8 0 1 1 3 1 5 1 1 3 6 4 10 1 3 3 7 3 8 1 0 3 6 5 13 3 7 6 17 8 22 2 +5 6 14 8 21 2 6 4 13 6 16 1 3 3 9 4 14 2 8 5 16 9 29 4 12 8 27 9 32 0 2 2 9 +4 16 2 7 3 15 4 19 1 3 2 9 3 13 1 4 2 11 3 15 1 4 2 11 3 16 3 12 5 34 5 44 +0 10 -2 16 -5 16 -2 0 -2 -1 -2 -13z"/> +<path d="M708 852 c-1 0 -1 -3 -1 -6 0 -2 0 -6 -1 -8 -1 -1 -2 -5 -2 -9 -1 -6 +-7 -28 -12 -44 -2 -6 -4 -13 -5 -17 -1 -4 -4 -11 -5 -16 -2 -6 -4 -12 -5 -14 +0 -1 -3 -8 -5 -15 -18 -54 -21 -63 -22 -64 -1 -1 -1 -2 -1 -3 0 -1 -1 -3 -2 +-5 -1 -3 -2 -5 -2 -6 0 -3 -5 -17 -11 -30 -1 -2 -2 -5 -2 -6 0 -2 -1 -5 -2 -8 +-2 -2 -3 -6 -4 -8 0 -2 -3 -10 -6 -18 -4 -9 -7 -18 -8 -20 -1 -3 -4 -12 -7 +-19 -3 -8 -5 -15 -5 -16 1 -2 4 -1 5 1 0 3 11 32 15 40 1 3 2 5 2 6 0 1 8 21 +13 32 2 3 3 8 3 9 0 2 1 5 2 7 1 2 3 6 4 10 2 4 4 11 6 16 2 4 5 13 7 18 1 4 +4 12 6 17 5 13 13 36 14 40 4 14 8 27 10 30 1 2 3 7 4 12 1 4 3 11 4 16 11 39 +13 47 15 64 1 13 1 17 -2 14z"/> +<path d="M811 823 c-2 -4 -7 -22 -12 -44 -1 -5 -3 -11 -4 -14 0 -3 -2 -8 -3 +-11 0 -4 -2 -10 -3 -14 -1 -4 -4 -15 -6 -24 -2 -10 -5 -20 -6 -23 -1 -3 -2 -7 +-3 -9 -1 -4 -8 -27 -14 -48 -2 -5 -3 -11 -4 -12 0 -2 -1 -5 -2 -6 -1 -2 -2 -5 +-2 -6 -1 -2 -1 -4 -2 -5 0 -1 0 -2 1 -2 2 0 6 10 6 14 0 1 1 3 2 4 0 1 1 2 1 +3 0 0 1 4 3 7 2 4 4 9 5 12 2 8 7 24 8 27 0 1 2 8 4 15 2 7 4 14 5 17 0 2 1 6 +2 10 2 8 6 25 8 33 1 4 3 10 4 14 0 4 2 10 3 14 1 4 4 14 6 23 2 8 5 18 6 21 +1 5 1 6 0 7 -1 1 -1 0 -3 -3z"/> +<path d="M740 815 c-1 -3 -9 -28 -10 -36 -1 -5 -5 -20 -9 -34 -8 -29 -9 -32 +-8 -33 0 0 0 1 1 3 1 1 2 3 3 4 2 2 6 12 8 24 1 4 3 11 5 16 2 9 5 19 6 28 1 +3 2 7 2 9 2 4 5 16 5 19 0 2 -2 3 -3 0z"/> +<path d="M618 807 c-1 -1 -4 -17 -4 -21 0 -2 0 -6 -1 -8 0 -3 -2 -9 -3 -14 -1 +-5 -3 -12 -3 -15 -1 -3 -2 -8 -3 -10 -1 -7 -5 -21 -8 -30 -2 -8 -4 -12 -6 -22 +-4 -14 -9 -29 -11 -32 0 -2 -2 -7 -3 -11 -4 -13 -10 -28 -12 -33 -1 -2 -4 -9 +-6 -15 -2 -6 -5 -12 -6 -14 -1 -3 -4 -9 -6 -14 -2 -6 -5 -11 -6 -12 0 -2 -3 +-7 -5 -13 -2 -6 -5 -12 -6 -13 -2 -2 -2 -3 -1 -4 1 -1 4 1 4 4 0 1 1 3 3 6 1 +2 3 6 4 7 0 1 2 4 3 7 2 3 3 5 3 6 0 1 2 6 5 11 3 6 6 13 7 16 1 2 4 11 7 18 +4 7 7 15 8 18 12 32 22 63 37 120 6 22 12 64 10 68 0 1 -1 1 -1 0z"/> +<path d="M648 774 c-1 -1 -5 -13 -10 -26 -4 -13 -9 -27 -11 -32 -1 -5 -3 -10 +-3 -11 0 -1 -1 -4 -3 -7 -1 -4 -3 -8 -3 -10 -1 -2 -2 -6 -4 -10 -2 -4 -4 -9 +-4 -10 -1 -3 -4 -11 -8 -21 -1 -3 0 -6 2 -4 1 0 3 6 5 12 2 6 6 15 7 19 6 13 +9 22 17 49 5 13 10 29 12 35 2 6 4 13 5 14 1 4 0 5 -2 2z"/> +<path d="M554 748 c-2 -3 -4 -11 -6 -17 -2 -7 -4 -13 -4 -14 -1 -2 -3 -9 -5 +-16 -2 -8 -4 -17 -5 -21 -2 -4 -3 -10 -4 -12 -3 -13 -7 -28 -14 -47 -4 -9 -7 +-19 -8 -22 -1 -4 -3 -9 -5 -12 -2 -3 -3 -7 -4 -10 0 -3 -2 -8 -3 -11 -4 -10 +-7 -18 -9 -23 -1 -3 -3 -8 -4 -11 -1 -3 -4 -12 -7 -19 -8 -21 -9 -25 -8 -26 1 +-2 3 0 4 6 1 2 3 7 4 10 1 2 3 9 5 15 3 5 5 11 6 13 0 1 2 5 3 8 1 3 4 9 5 13 +2 4 5 10 6 13 1 3 5 14 9 25 5 11 8 21 8 22 0 0 1 3 2 5 4 8 11 29 13 37 1 4 +3 11 4 15 5 17 7 26 9 33 1 4 3 10 3 12 3 7 5 14 7 24 1 4 2 9 3 11 1 1 1 3 1 +4 -2 4 -4 2 -6 -5z"/> +<path d="M516 746 c-1 -2 -2 -8 -4 -15 0 -3 -2 -9 -4 -15 -1 -6 -3 -12 -4 -14 +0 -2 -2 -8 -4 -13 -2 -5 -5 -12 -7 -16 -4 -10 -9 -19 -11 -20 -2 0 -3 -2 -1 +-5 1 -1 1 -3 -2 -8 -1 -4 -4 -9 -5 -12 0 -3 -2 -7 -3 -8 0 -1 -3 -8 -6 -14 -2 +-7 -7 -19 -9 -26 -3 -7 -7 -18 -9 -22 -2 -5 -4 -12 -6 -15 -3 -9 -9 -27 -14 +-42 -3 -8 -6 -15 -9 -19 -5 -8 -14 -25 -14 -28 0 -5 5 -2 9 7 2 3 4 6 4 7 1 1 +2 4 3 6 1 2 3 5 3 6 1 1 3 6 5 11 2 4 5 14 8 22 2 7 5 14 6 17 0 2 3 9 5 16 3 +6 6 14 7 18 4 11 8 19 10 21 0 1 1 3 1 4 0 3 10 30 15 40 3 6 5 10 10 26 2 5 +4 10 4 12 2 3 10 22 11 27 0 2 1 5 2 7 3 5 4 10 8 27 4 14 4 19 3 19 0 1 -1 0 +-2 -1z"/> +<path d="M920 706 c-1 0 -1 -2 -1 -3 0 -1 -1 -3 -1 -4 -4 -8 -7 -25 -5 -25 2 +0 6 15 8 30 1 4 0 5 -1 2z"/> +<path d="M708 700 c-2 -3 -3 -10 -1 -10 0 1 1 2 1 3 0 2 1 4 1 6 1 4 1 5 -1 1z"/> +<path d="M826 654 c-1 -2 -3 -7 -5 -11 -6 -13 -12 -29 -13 -31 0 -2 0 -2 1 -2 +2 0 5 6 8 16 1 2 4 9 7 15 5 10 7 17 4 18 0 0 -1 -2 -2 -5z"/> +<path d="M445 654 c-1 -1 -2 -2 -2 -4 0 -2 -1 -5 -2 -7 -1 -3 -2 -6 -3 -8 -1 +-3 -2 -6 -3 -7 0 -2 -2 -7 -3 -11 -1 -4 -4 -12 -6 -17 -2 -5 -5 -12 -6 -16 -3 +-11 -17 -49 -26 -68 -2 -6 -3 -12 -1 -12 0 0 2 2 3 5 4 9 6 13 11 24 3 6 5 11 +5 12 0 0 1 3 3 7 5 10 6 12 7 19 3 7 6 16 14 41 2 5 5 13 7 17 4 11 6 16 7 19 +1 2 1 6 -1 6 -1 1 -3 0 -4 0z"/> +<path d="M599 636 c-1 -3 -6 -14 -6 -15 0 0 0 0 1 0 1 1 4 7 6 13 2 4 1 6 -1 +2z"/> +<path d="M783 635 c-1 0 -1 -1 -1 -2 0 -2 0 -2 2 -1 0 1 1 2 1 3 0 1 -1 1 -2 +0z"/> +<path d="M603 627 c-1 -1 -2 -4 -3 -6 -2 -5 -8 -21 -10 -26 -6 -14 -16 -35 +-18 -38 -1 -2 -2 -5 -3 -6 0 -2 -1 -3 -2 -4 0 -1 -1 -2 -1 -2 0 -1 -2 -6 -5 +-12 -3 -5 -5 -11 -5 -11 0 -1 -1 -3 -2 -4 -1 -2 -2 -4 -2 -5 0 -4 2 -1 5 4 1 +3 2 5 3 6 1 2 17 32 21 43 2 4 6 11 7 15 4 9 11 25 11 26 0 1 1 5 3 9 2 4 3 9 +3 10 l0 4 -2 -3z"/> +<path d="M684 626 c-1 0 -3 -7 -6 -15 -4 -8 -9 -21 -13 -29 -8 -20 -7 -18 -11 +-26 -1 -4 -4 -10 -5 -13 -2 -4 -3 -8 -3 -8 1 -1 7 8 7 10 0 0 2 6 5 12 5 9 9 +18 16 35 9 19 12 27 12 32 0 3 -1 4 -2 2z"/> +<path d="M365 623 c-1 -2 -2 -8 -4 -12 -4 -19 -11 -41 -17 -54 -1 -4 -4 -11 +-6 -17 -6 -18 -12 -34 -15 -42 -5 -12 -7 -21 -7 -22 2 -1 5 4 10 17 9 24 10 +26 10 27 0 0 2 4 3 8 2 4 5 10 6 14 4 13 10 28 12 29 0 1 1 4 2 7 2 9 6 26 11 +38 1 4 2 8 1 9 -1 2 -4 1 -6 -2z"/> +<path d="M768 578 c-1 0 -3 -7 -6 -16 -7 -22 -11 -31 -18 -46 -6 -12 -8 -17 +-5 -16 1 1 11 19 15 28 2 5 6 14 8 20 2 6 4 13 5 15 2 5 5 13 5 15 0 1 -4 1 +-4 0z"/> +<path d="M516 525 c-1 -2 -2 -5 -4 -18 0 -3 0 -5 1 -5 2 -2 1 -5 -5 -15 -8 +-11 -8 -14 -1 -8 6 5 8 8 12 16 2 6 2 7 1 9 -1 1 -1 3 2 8 5 10 7 15 2 8 -3 +-6 -5 -5 -5 1 0 5 -1 7 -3 4z"/> +<path d="M667 508 c-8 -17 -10 -20 -17 -31 -3 -5 -5 -9 -5 -9 1 -2 1 -2 3 0 2 +0 3 2 3 2 0 0 1 2 2 3 3 2 8 11 18 31 4 9 6 17 3 18 0 0 -4 -6 -7 -14z"/> +<path d="M600 504 c-1 -1 -2 -4 -3 -5 -1 -2 -2 -4 -2 -5 0 -1 -2 -6 -5 -12 -5 +-10 -6 -15 -4 -14 2 1 19 35 19 38 0 2 -3 1 -5 -2z"/> +<path d="M293 501 c0 -1 -2 -4 -4 -8 -2 -4 -4 -7 -5 -8 -3 -3 -3 -6 0 -6 1 0 +3 1 5 7 5 8 7 16 6 16 0 0 -1 -1 -2 -1z"/> +<path d="M463 478 c-6 -14 -8 -20 -5 -17 2 2 9 18 9 20 0 2 -2 1 -4 -3z"/> +<path d="M234 478 c-1 0 -1 -1 -1 -2 0 -2 -5 -9 -11 -16 -4 -4 -6 -9 -4 -9 2 +0 6 4 10 8 8 10 11 15 11 18 -1 2 -4 3 -5 1z"/> +<path d="M350 469 c-4 -7 -7 -13 -7 -14 0 -2 3 -1 5 2 1 1 3 5 5 8 3 5 4 8 1 +8 -1 0 -3 -2 -4 -4z"/> +<path d="M186 471 c-2 -3 -10 -17 -10 -18 0 -1 0 -2 1 -3 2 0 6 4 10 12 3 6 4 +7 3 9 -2 1 -2 1 -4 0z"/> +<path d="M271 462 c-7 -9 -9 -11 -7 -13 1 -2 18 15 18 18 0 4 -4 2 -11 -5z"/> +<path d="M314 464 c-4 -6 -5 -9 -2 -9 0 0 1 0 1 1 0 0 2 3 4 5 4 5 5 7 2 8 -1 +0 -3 -2 -5 -5z"/> +<path d="M214 465 c-3 -2 -3 -3 -2 -4 2 -2 5 2 5 5 0 2 -1 2 -3 -1z"/> +<path d="M1137 219 c-1 -1 -1 -1 0 -4 1 -2 1 -2 4 -2 1 1 4 2 5 3 l3 3 -3 0 +c-4 1 -7 1 -9 0z"/> +<path d="M1662 166 c-2 0 -3 -2 -3 -2 1 -2 12 -4 15 -2 2 1 3 4 1 4 -4 2 -10 +2 -13 0z"/> +<path d="M308 205 c0 -3 22 -11 41 -14 13 -3 17 -3 22 0 1 0 5 1 9 2 23 3 31 +6 25 7 -2 1 -22 -1 -37 -4 -8 -1 -18 -1 -26 2 -3 0 -8 2 -10 2 -3 1 -6 2 -7 2 +-1 1 -15 4 -17 4 0 0 0 0 0 -1z"/> +<path d="M227 189 c-6 -1 -18 -3 -27 -4 -9 0 -20 -1 -24 -2 -5 0 -9 0 -11 0 +-2 1 -4 1 -7 0 -3 0 -8 -1 -14 0 -6 0 -9 0 -9 -1 0 -2 3 -2 29 -2 32 1 50 2 +66 7 3 0 7 1 8 1 4 1 4 3 1 3 -1 0 -7 -1 -12 -2z"/> +<path d="M55 186 c1 -1 15 -3 17 -2 1 0 0 1 -4 1 -4 0 -8 1 -10 1 -2 1 -3 1 +-3 0z"/> +<path d="M80 184 c0 -1 1 -2 9 -2 6 -1 7 -1 6 0 -1 1 -14 3 -15 2z"/> +<path d="M109 183 c-6 0 -8 -1 -6 -2 1 -2 25 0 25 1 -1 1 -9 2 -19 1z"/> +<path d="M377 180 c-1 0 0 -1 0 -2 2 -1 11 -4 15 -4 2 0 6 -1 9 -1 3 -1 4 -1 +5 0 1 1 1 2 0 2 -1 1 -23 6 -26 6 -1 0 -3 0 -3 -1z"/> +<path d="M1840 169 c-7 -1 -20 -1 -29 -1 -17 -1 -27 -2 -28 -4 -3 -3 5 -4 24 +-2 5 1 13 1 18 1 25 1 50 2 52 2 7 0 12 3 6 4 -3 1 -23 1 -43 0z"/> +<path d="M267 156 c-3 -1 1 -8 7 -12 6 -3 19 -7 29 -8 16 -2 23 -1 37 2 14 3 +21 7 21 10 0 2 -4 2 -16 0 -22 -5 -29 -5 -32 -4 -1 1 -3 1 -3 1 -1 0 -2 0 -3 +1 -1 1 -4 1 -7 0 -4 -1 -6 0 -11 1 -4 1 -8 3 -8 3 -4 2 -13 7 -14 6z"/> +<path d="M236 144 c-3 -1 -8 -1 -12 -2 -4 -1 -16 -3 -25 -6 -24 -6 -35 -7 -57 +-7 -12 0 -18 0 -18 -1 0 -1 3 -2 18 -3 22 -2 35 0 83 12 5 2 11 3 13 4 3 0 5 +1 5 2 0 2 -1 2 -7 1z"/> +<path d="M1088 142 c-4 -1 -7 -2 -8 -2 0 1 -2 0 -4 0 -11 -3 -15 -4 -23 -4 -5 +0 -10 0 -11 1 -2 1 -6 2 -8 2 -2 0 -5 1 -6 1 -1 1 -2 1 -2 0 0 -3 2 -4 11 -7 +17 -5 15 -5 25 -3 8 1 21 4 32 9 4 1 5 1 6 -1 1 -1 2 -3 3 -3 1 -2 9 -8 10 -8 +1 0 3 -1 4 -1 1 -1 6 -3 10 -4 9 -3 17 -2 27 1 3 1 8 3 12 3 11 2 15 3 18 5 2 +2 2 3 1 4 -1 1 -3 1 -8 -1 -10 -3 -19 -5 -23 -5 -3 0 -7 -1 -9 -1 -5 -2 -12 +-2 -12 -1 -1 1 -3 1 -4 1 -2 0 -4 1 -6 1 -1 1 -3 2 -4 2 -3 0 -5 1 -8 5 -3 3 +-6 6 -7 7 -2 3 -9 2 -16 -1z"/> +<path d="M600 133 c-1 -2 1 -6 5 -8 5 -3 17 -6 26 -6 7 -1 21 0 26 2 7 3 12 4 +14 4 2 -1 5 -3 8 -5 3 -3 7 -5 9 -7 3 -2 16 -9 18 -9 0 0 3 -1 7 -3 11 -4 38 +-6 43 -2 3 2 3 3 -2 3 -7 0 -27 3 -31 5 -2 1 -5 2 -6 2 -2 0 -21 9 -26 13 -13 +10 -11 9 -19 9 -7 0 -20 -1 -22 -3 -2 -1 -14 -2 -21 -2 -8 0 -14 2 -20 6 -4 2 +-7 3 -9 1z"/> +<path d="M876 129 c-2 -2 -8 -5 -13 -5 -2 -1 -8 -3 -12 -4 -7 -3 -10 -3 -20 +-4 -8 0 -12 0 -19 -3 -16 -5 -40 -3 -63 5 -3 1 -6 2 -7 2 -2 0 0 -3 3 -4 2 -1 +6 -3 10 -4 4 -2 9 -3 12 -3 3 -1 8 -2 12 -3 9 -2 26 -2 37 1 9 3 20 5 21 5 2 +-1 6 -10 6 -12 -1 -2 1 -4 3 -4 2 0 11 -4 20 -9 3 -2 8 -4 11 -5 2 -1 7 -3 9 +-3 3 -2 9 -2 18 -3 14 0 17 0 33 4 8 1 12 2 25 2 5 1 13 2 19 3 6 1 13 2 16 2 +2 1 6 2 7 2 1 1 8 2 14 3 13 2 16 3 13 5 -2 1 -8 0 -18 -2 -4 -1 -10 -2 -12 +-2 -3 -1 -11 -2 -17 -3 -17 -3 -33 -4 -39 -2 -5 2 -6 1 -6 -2 0 -2 -4 -3 -13 +-4 -10 0 -10 0 -2 6 8 7 12 8 18 7 3 -1 8 -1 12 -1 12 1 27 3 33 5 3 0 7 1 9 +1 1 0 6 0 11 0 8 0 12 1 10 4 0 2 -6 3 -18 1 -5 -1 -12 -2 -16 -2 -3 0 -10 -1 +-14 -1 -12 -2 -19 -2 -27 0 -6 2 -8 2 -10 1 -3 -1 -4 0 -11 2 -9 3 -36 19 -36 +21 0 4 -7 6 -9 3z m2 -6 c1 0 -5 -5 -12 -10 -11 -7 -14 -8 -16 -7 -1 0 -3 2 +-4 3 -1 3 -1 3 0 4 1 1 5 2 7 3 3 1 10 3 15 5 5 2 10 3 10 3 0 0 0 0 0 -1z m9 +-7 c1 -3 1 -3 0 -5 -1 -1 -4 -3 -6 -3 -5 -2 -16 -8 -17 -11 0 -2 -3 -1 -6 1 +-5 4 -4 5 4 9 4 2 10 6 13 8 6 5 10 5 12 1z m12 -9 c2 -1 4 -3 4 -4 0 -1 -3 +-4 -7 -7 -8 -6 -9 -7 -8 -10 0 -3 -3 -3 -8 0 -4 3 -9 8 -9 10 0 1 8 7 9 7 1 0 +3 1 6 3 5 4 8 4 13 1z m21 -8 c3 -2 4 -4 0 -6 -3 -1 -7 -5 -9 -9 -1 -3 -1 -3 +-6 -3 -3 1 -7 1 -9 2 -4 0 -4 1 -2 2 1 1 4 3 6 4 3 2 5 3 5 5 0 2 1 4 3 5 3 2 +5 2 12 0z"/> +<path d="M494 125 c-1 -3 3 -9 11 -15 7 -6 18 -13 21 -13 1 0 3 -1 6 -2 2 -1 +4 -2 5 -2 1 0 4 -1 8 -2 5 -3 26 -8 29 -8 1 0 6 -2 11 -4 13 -6 22 -8 39 -9 +18 -2 33 -1 40 3 2 2 6 3 9 4 3 1 8 2 11 3 3 1 7 2 8 3 1 0 4 1 5 2 l2 2 -3 0 +c-3 0 -14 -3 -29 -7 -14 -4 -23 -5 -44 -4 -8 1 -13 1 -15 2 -1 1 -3 2 -4 2 -3 +0 -8 2 -10 4 -2 1 -4 2 -5 2 -1 1 -7 2 -12 3 -5 2 -12 3 -14 4 -4 1 -9 3 -17 +7 -2 0 -4 1 -5 1 -7 0 -30 12 -35 19 -2 3 -8 6 -10 6 -1 0 -1 -1 -2 -1z"/> +<path d="M1404 125 c2 -2 14 -5 21 -5 12 0 21 0 29 1 13 1 9 2 -9 3 -16 0 -19 +0 -34 2 -5 0 -7 0 -7 -1z"/> +<path d="M480 123 c-2 -1 -5 -2 -7 -2 -1 -1 -4 -2 -6 -2 -2 -1 -7 -2 -10 -4 +-3 -1 -7 -2 -9 -2 -1 0 -3 -1 -5 -1 -1 -1 -3 -2 -5 -2 -3 -1 -10 -2 -16 -4 +-14 -3 -31 -7 -38 -8 -2 0 -5 -1 -6 -1 -2 -2 -16 -3 -24 -2 -6 0 -8 0 -10 -1 +-3 -2 -33 -1 -43 2 -5 1 -9 2 -10 2 -2 0 -5 1 -8 2 -3 1 -7 2 -9 2 -5 0 -3 -2 +4 -4 4 -1 8 -2 10 -3 2 -1 20 -4 28 -5 5 -1 32 -1 45 -1 6 1 17 2 23 4 11 2 +15 3 27 5 9 1 32 7 35 9 0 0 3 1 5 1 2 1 6 2 7 3 2 1 7 3 12 4 10 2 18 5 19 7 +0 2 -3 2 -9 1z"/> +<path d="M1244 122 c-10 -5 -50 -15 -69 -17 -5 -1 -10 -1 -11 -2 -1 0 -12 0 +-23 -1 -11 0 -21 -1 -22 -2 -1 0 -2 -1 -2 -2 0 -2 2 -3 9 -3 2 0 9 0 14 0 12 +0 30 2 33 4 0 0 3 1 7 1 14 2 30 5 39 9 3 1 8 3 12 3 3 1 7 1 8 2 4 0 5 -2 1 +-3 -10 -3 -25 -8 -28 -8 -1 0 -4 -1 -7 -2 -2 -1 -7 -2 -12 -3 -4 -1 -9 -2 -11 +-2 -3 -1 -7 -1 -10 -2 -3 0 -9 0 -13 -1 -4 0 -10 -1 -13 -1 -4 -1 -7 -1 -15 0 +-5 0 -10 1 -10 0 -1 -1 2 -2 8 -3 9 -1 16 -1 26 0 4 1 9 2 12 2 2 0 5 0 6 1 2 +0 7 1 11 2 13 2 36 7 60 15 4 1 7 0 7 -3 0 -2 -4 -6 -7 -6 -1 0 -5 -1 -9 -3 +-9 -3 -21 -6 -23 -5 -1 0 -6 -1 -11 -3 -9 -3 -32 -7 -37 -5 -5 1 -10 0 -13 -1 +l-2 -2 2 -1 c2 -1 4 -1 5 -1 1 0 5 -1 8 -2 6 -3 16 -5 20 -5 1 0 8 -1 16 -2 9 +-1 19 -1 39 -1 35 0 57 1 60 2 2 0 7 1 13 1 5 0 12 0 16 0 4 1 11 1 17 2 5 0 +10 1 11 2 2 1 13 2 20 2 6 0 8 0 13 -3 5 -3 6 -3 16 -4 6 0 13 0 16 -1 5 -1 +25 -3 38 -4 19 -1 40 4 51 11 12 8 17 16 12 18 -1 0 -4 0 -6 -1 -15 -5 -40 -7 +-58 -5 -18 2 -23 2 -24 0 -1 -4 25 -8 48 -7 10 1 14 1 14 0 0 -2 -7 -4 -20 -6 +-12 -1 -19 -1 -36 1 -4 0 -15 2 -24 3 -13 1 -17 2 -20 4 -2 1 -7 3 -12 4 -7 2 +-9 2 -12 1 -7 -2 -42 -7 -53 -7 -3 0 -12 -1 -20 -1 -16 -2 -59 -4 -70 -4 -9 0 +-13 1 -13 2 0 1 5 3 11 5 12 5 15 6 24 14 6 6 9 6 15 3 7 -3 26 -7 38 -7 7 0 +9 0 12 2 7 5 5 7 -12 9 -17 3 -36 7 -42 11 -2 1 -6 4 -8 5 -3 3 -6 4 -10 1z +m-16 -32 c-1 0 -3 -2 -6 -3 -2 0 -5 -2 -6 -2 -1 -1 -3 -1 -4 -1 -1 0 -4 -1 -7 +-2 -6 -2 -12 -3 -12 -1 -1 2 5 4 16 6 6 1 12 2 13 3 3 1 6 1 6 0z"/> +<path d="M1540 110 c0 -2 5 -7 6 -6 0 1 -1 2 -3 4 -2 1 -3 2 -3 2z"/> +<path d="M1912 93 c-7 -1 -15 -1 -19 -2 -5 0 -14 -1 -21 -1 -8 0 -17 -1 -21 +-2 -4 0 -12 -1 -17 -1 -6 0 -14 -1 -18 -2 -4 0 -13 -1 -20 -1 -7 -1 -14 -1 +-15 -2 -3 -1 -6 -1 -31 -1 l-18 1 -7 3 c-4 2 -8 5 -8 5 -2 2 -4 1 -4 -1 0 -4 +9 -8 28 -13 2 -1 7 -1 12 -1 5 1 10 1 12 1 2 0 6 0 9 1 2 1 6 1 9 1 2 1 8 1 +13 2 4 1 12 1 16 1 4 0 9 0 11 1 1 1 7 1 12 1 4 1 11 1 15 2 3 1 8 1 10 0 2 0 +11 1 21 1 9 1 23 2 31 3 8 0 15 1 16 1 2 1 2 1 -2 3 -2 0 -3 1 -3 1 0 0 -5 -1 +-11 -1z"/> +<path d="M489 83 c-2 0 -5 -1 -6 -2 -2 -2 -14 -5 -17 -5 -2 0 -3 0 -3 -1 -1 0 +-4 -1 -6 -1 -3 -1 -7 -1 -9 -2 -2 0 -7 0 -10 1 -6 1 -9 1 -7 -2 1 -1 4 -2 21 +-4 9 -1 10 -1 15 1 3 1 6 2 8 2 1 0 2 1 3 1 1 2 8 4 14 6 3 0 3 0 7 -4 4 -5 +26 -16 36 -19 5 -1 12 -1 27 -2 l20 0 10 3 c6 1 13 3 15 4 3 1 6 2 6 3 2 1 3 +2 -18 -1 -4 -1 -9 -1 -11 -2 -3 -1 -9 -1 -20 -1 -9 1 -17 1 -18 1 -5 0 -13 2 +-17 5 -2 1 -5 2 -6 2 -3 0 -14 7 -19 12 -6 5 -8 6 -15 5z"/> +<path d="M1578 78 c0 -3 6 -6 13 -8 2 -1 8 -2 13 -4 8 -3 9 -3 20 -3 6 0 12 0 +13 0 1 1 7 1 12 2 4 0 9 0 11 0 2 0 6 2 6 4 0 1 -2 1 -18 0 -16 -1 -35 -1 -39 +0 -2 0 -7 2 -11 3 -5 1 -9 3 -10 3 0 1 -2 1 -4 2 -1 0 -3 1 -4 2 -1 0 -2 0 -2 +-1z"/> +<path d="M788 75 c0 -2 21 -12 33 -14 9 -1 13 -1 23 1 10 2 10 2 8 3 0 1 -4 1 +-11 0 -8 -1 -11 -1 -20 1 -5 1 -11 2 -12 3 -3 1 -19 7 -20 7 -1 0 -1 0 -1 -1z"/> +<path d="M1585 65 c-3 -3 0 -11 5 -16 4 -3 14 -7 18 -7 1 0 5 -1 8 -2 3 -1 6 +-2 8 -2 2 0 10 0 18 -1 7 0 21 0 31 -1 10 0 22 0 27 -1 4 -1 11 -1 14 -2 6 0 +16 -2 25 -6 5 -2 7 -3 14 -2 4 1 10 2 14 3 4 0 9 1 13 2 10 1 17 3 20 5 2 3 3 +4 0 6 -1 1 -3 1 -12 0 -10 -2 -25 -4 -35 -6 -2 0 -8 1 -16 3 -12 3 -27 4 -64 +5 -55 2 -75 7 -81 19 -2 4 -5 5 -7 3z"/> +<path d="M421 56 c-13 -6 -17 -8 -19 -8 0 0 -1 0 -1 -1 0 -1 1 -1 2 0 1 0 3 1 +5 1 10 3 24 10 24 12 0 1 -1 1 -11 -4z"/> +<path d="M802 48 c-2 -1 -4 -2 -5 -2 -5 -4 -32 -4 -41 1 -3 2 -7 1 -7 -1 0 -3 +4 -6 11 -8 6 -2 9 -2 20 -2 14 1 17 1 28 5 9 2 15 0 24 -6 5 -3 7 -4 10 -4 4 +0 11 -4 14 -7 1 -1 4 -2 8 -3 4 -1 10 -1 12 -2 15 -3 26 -3 33 -1 2 1 8 2 12 +3 8 1 12 3 11 5 -1 0 -7 0 -14 -1 -8 -1 -17 -1 -22 -1 -16 0 -34 4 -40 9 -1 1 +-3 2 -3 2 -1 0 -5 2 -10 4 -5 3 -12 5 -14 6 -2 1 -6 2 -7 3 -3 1 -14 1 -20 0z"/> +<path d="M369 42 c-1 -1 1 -1 4 -1 3 0 5 0 6 1 0 1 -2 1 -5 1 -3 0 -5 0 -5 -1z"/> +<path d="M340 40 c2 -1 6 -1 7 0 0 1 -2 1 -4 1 -3 0 -4 0 -3 -1z"/> +<path d="M1068 38 c0 -5 15 -8 30 -8 6 0 12 0 14 0 2 -1 5 0 9 1 4 1 8 2 10 2 +3 1 4 2 4 3 0 3 -2 3 -8 0 -4 -2 -5 -2 -8 -1 -3 1 -7 1 -12 0 -9 -1 -25 0 -31 +2 -5 2 -8 2 -8 1z"/> +<path d="M1489 21 c0 -2 4 -4 11 -7 12 -6 16 -7 28 -8 5 -1 11 -2 15 -2 12 -3 +15 -3 21 -1 3 1 7 2 10 3 5 1 7 3 7 5 0 3 -1 3 -7 1 -2 0 -6 -1 -8 0 -2 0 -4 +0 -5 -1 -2 -2 -2 -2 -23 0 -13 1 -27 4 -31 7 -2 1 -5 2 -7 2 -3 1 -6 1 -8 2 +-3 0 -3 0 -3 -1z"/> +<path d="M1343 18 c-2 -2 -1 -4 7 -8 6 -3 9 -4 13 -4 5 0 14 -1 16 -2 0 -1 5 +-1 10 -2 8 -1 10 -1 18 1 5 1 10 2 11 2 1 0 3 1 5 2 1 1 5 2 8 3 2 1 8 2 13 3 +9 3 10 4 8 5 0 1 -5 0 -13 -2 -7 -2 -15 -4 -18 -4 -4 0 -9 -1 -11 -2 -2 -1 -9 +-2 -14 -2 -9 -1 -10 -1 -14 0 -2 2 -4 2 -6 2 -2 -1 -4 0 -8 1 -2 1 -5 2 -6 2 +-1 0 -5 1 -9 3 -8 3 -8 3 -10 2z"/> +</g> +</svg> diff --git a/book/images/TUDelft_logo_rgb.png b/book/images/TUDelft_logo_rgb.png new file mode 100644 index 0000000..753f310 Binary files /dev/null and b/book/images/TUDelft_logo_rgb.png differ diff --git a/book/intro.md b/book/intro.md new file mode 100644 index 0000000..5ca76a1 --- /dev/null +++ b/book/intro.md @@ -0,0 +1,73 @@ +(intro)= +# Risk and Reliability for Engineers + +Almost all activities in life are characterized by some level of risk, such as riding a bike or driving a car, boarding an airplane, or living below sea level behind flood protection system. Particularly within the field of civil engineering, risk and safety are key concepts that should be taken into account explicitly in design and management. Failures of systems providing flood protection, water distribution, transportation networks, air quality control, buildings and other infrastructure are expected to occur rarely, but can lead to large consequences. On the other hand, these systems also provide many benefits to humankind on a daily basis. + +*Risk* is often defined simply as the combination of probability and consequences; it is a measure of how bad something can be (the consequence) combined with the chance that it can happen. In mathematical form: + +$$\text{Risk}_\text{bad thing}=\text{Consequence}_\text{bad thing}\cdot\text{Probability}_\text{bad thing}$$ + +```{note} +:class: dropdown +Why are the variables above written using words? Because many different terms and symbols are used in different fields of science and enginering which refer to about the same mathematical concepts. For example, 'failure probability,' $p_f$, is often used when designing structural components. However, this term may be misleading when applied to the probability that the concentration of a solute in groundwater exceeds a certain value, or the discharge of a river falling below a regulatory threshold for fish migration. +``` + +As engineers we are typically concerned with making sure bad things don't happen, or, stated more precisely for our purposes: *reducing the **probability** of a bad thing happening to an **acceptable** level.* To determine if this probability results in a situation that is *safe enough,* an acceptable level of risk needs to be defined. The eventual decision about acceptable risk is predominantly a political one, but engineers can have an important role in the discussion and decision-making. They can provide information on failure probabilities and consequences (economic consequences, life loss, etc.) of a given system and highlight trade-offs between investments in safer systems and risk reduction. Risk plays an important role in many current societal discussions. Examples include recent discussions related to Covid-19 vaccination programs and mitigation measures like facemasks, where there was a lot of uncertainty in the effect of on virus spread. Another example is the discussion over nuclear power versus fossil fuels: both activities bring various benefits (energy generation) but also introduce additional risks to the population and environment. A systematic analysis of risks of (proposed) projects can help to inform the broader societal discussions. + +Inevitably, the consideration of risk should result in a specific value of probability that can be used in the design or evaluation of something; in other words, a specific criteria for $\text{Probability}_\text{bad thing}$. For standard applications and systems that are frequently constructed, the risk analysis has been done and building codes are available that define acceptable safety levels in such a way that the failure probability of a structure is sufficiently small. For example, Eurocode provides guidance for the design of structures using so-called target values for the failure probability different safety classes. Thus, critical buildings like hospitals are designed to be stronger than a hardware store. However, for other applications, e.g. special structures or new applications like the reliability of renewable energy-generating components, no standard codes or guidelines are available for design and a more explicit analysis of the reliability and risk of the system is required. An example from the past is the design of the Eastern Scheldt barrier. The acceptable probabilities of failure of the structure and non-closure of the gates were determined based on the acceptable risk of flooding of Zeeland. These probability values formed the basis for the so-called probabilistic design of the barrier in the 1970’s. + +```{note} +:class: dropdown +Although much of this book focuses on calculating failure probability, or $\text{Probability}_\text{bad thing}$, we call this a reliability analysis, where *reliability* is simply + +$$\text{Reliability}=1-\text{Probability}_\text{bad thing}$$ + +So in fact, as engineers we are optimistic, otherwise this chapter would be called Risk and *Un*reliability. +``` + +## Risk and Reliability in Practice + +Throughout this book we will repeatedly draw on the field of flood management to illustrate risk and reliability concepts as this field requires expertise from all perspectives in civil and environmental engineering and geosciences, from climate and hydrologic processes to evacuation and recovery. In addition, this field has driven the development and use of risk and reliability techniques in the Netherlands since the flooding disaster of 1953, not to mention the experience gained during the previous millenium, albeit in a less rigorous mathematical fashion. And finally, new safety standards for primary flood defences in the Netherlands have been in place since 2017 that are formulated as a tolerable failure probability of dike[^dike] segments. As such, dike reinforcements are legally required to be designed according to these new standards, which requires one to show that the failure probability is less than an allowable maximum value. + +Despite the focus on flood management, many applications exist in other fields, for example the discussion about the gas extraction in the North of the Netherlands which leads to increased earthquakes, building damage and potential injury to humans. A thorough analysis of the probability of earthquake occurrence, structural safety of various infrastructure (houses, levee, hospitals, pipelines), benefits associated with extracting gas and the resulting level of risk is required to make decisions about how to manage this industry. As with the flood management application, advanced knowledge of probabilistic techniques is needed. + +## It All Comes Back to Probability + +In short, risk and reliability concepts cannot be defined or applied without *probability.* It is necessary in order to quantify uncertainty and take it into account when making decisions, regardless of whether our specific task is to investigate, assess, design or create policy for a particular engineering problem. Probability theory is a powerful tool because it provides a way to quantify many aspects of uncertainty, for example: +- precision of measurements +- variability in data +- accuracy and precision of data-driven or physics-based models +- stochastic processes +- unknown conditions due to lack of data or +- inability to predict the outcome of future events with sufficient accuracy or precision +- and many more + +It is crucial that civil and environmental engineers and geoscientists are able to understand and apply the concepts of risk and reliability, as well as probability theory. As such, these lecture provide an introduction to the fundamental techniques and concepts necessary to do so. + +## Book Overview + +Risk and reliability concepts have been organized into five primary chapters to introduce fundamental concepts and progressively illustrate how they are applied in practice. +- **Probabilistic Design** describes how probability is used in the design process and illustrates key concepts through simple examples and 'patterns' (analytic expressions and visual representations). +- **Risk Analysis** as a process is formally defined and quantitative risk measures are introduced. +- **Component Reliability** and **System Reliability** briefly introduce approaches for evaluating reliability, or $\text{P}_\text{bad thing}$, in order to carry out probabilistic assessment and design quantitatively. This is the *quantitative analysis* step of a risk analysis. +- **Risk evaluation** provides simple quantitative tools and a framework for establishing risk-based safety standards and economic risk criteria. This is a key step in the risk analysis process. + +Additional chapters are provided to put these concepts into context, explain industry-specific characteristics or indicate possibilities of additional study for the student. + +### Additional Resources + +If you are in need of a quick refresher on fundamental probability and statistics topics, you may find the online course [Probability and Statistics for Engineers](https://tudelft-citg.github.io/learn-probability/) helpful. This course was created for those who need to brush up on topics from a prior bachelors-level course. If you have no background in probability and statistics you will need to take a more thorough approach; we recommend the Probability Theory and Statistics courses offered in the Mastering Mathematics series from TU Delft, which you can find [here](https://online-learning.tudelft.nl/topic/mastering-mathematics/) (also on EdX). + +### Additional Information + +This book was developed and used for use in the master's program in the faculty of Civil and Environmental Engineering at Delft University of Technology in the Netherlands. Although the concepts are relevant for a wider audience outside the faculty, the generic reference "for Engineers" in the title refers to the diverse areas of emphasis evolving within the field historically referred to as "civil engineering." For example, our MSc programs in Environmental Engineerinng and Applied Earth Sciences. + +Additional information about authors, licenses and how the book is made can be found on the {ref}`Credits and License page <credits>`. We hope you enjoy this book, and don't hesitate to contact {ref}`the Editor <editor>` with questions or suggestions! + +[^dike]: A dike is a structure, typically made of soil, that protects a specific region from flooding by physically holding back water. Usually associated with rivers, such structures are also widely used on the coast, especially in low elevation areas such as the Netherlands. The Dutch word for levee is *dijk,* but English word *dike* is used in this book. Outside of the Netherlands the words *embankment* and *levee* are used. + +--- + +This book is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</a>. + +<a rel="license" href="http://creativecommons.org/licenses/by/4.0/"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by/4.0/88x31.png"/></a> \ No newline at end of file diff --git a/book/notebooks/Untitled.ipynb b/book/notebooks/Untitled.ipynb new file mode 100644 index 0000000..b7f29e4 --- /dev/null +++ b/book/notebooks/Untitled.ipynb @@ -0,0 +1,153 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "9d7ffe9f-441f-4119-b5e4-0e872922a78d", + "metadata": {}, + "outputs": [], + "source": [ + "from sympy import *" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "406dc83e-b114-46be-baf8-073a72b47a36", + "metadata": {}, + "outputs": [], + "source": [ + "t, a = symbols('t a')\n", + "theta = Function('theta')(t)\n", + "r = Function('r')(t)\n", + "U_c = Function('U_c')(t)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "df8fe246-6986-4ffd-9c39-6bd259176e42", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle - \\frac{a^{2} \\operatorname{U_{c}}{\\left(t \\right)} \\cos{\\left(\\theta{\\left(t \\right)} \\right)}}{r{\\left(t \\right)}}$" + ], + "text/plain": [ + "-a**2*U_c(t)*cos(theta(t))/r(t)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "phi = - (a**2*U_c)/r * cos(theta)\n", + "phi" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "a6e55454-52c6-493b-a753-f901cee357bc", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\frac{a^{2} \\operatorname{U_{c}}{\\left(t \\right)} \\sin{\\left(\\theta{\\left(t \\right)} \\right)} \\frac{d}{d t} \\theta{\\left(t \\right)}}{r{\\left(t \\right)}} + \\frac{a^{2} \\operatorname{U_{c}}{\\left(t \\right)} \\cos{\\left(\\theta{\\left(t \\right)} \\right)} \\frac{d}{d t} r{\\left(t \\right)}}{r^{2}{\\left(t \\right)}} - \\frac{a^{2} \\cos{\\left(\\theta{\\left(t \\right)} \\right)} \\frac{d}{d t} \\operatorname{U_{c}}{\\left(t \\right)}}{r{\\left(t \\right)}}$" + ], + "text/plain": [ + "a**2*U_c(t)*sin(theta(t))*Derivative(theta(t), t)/r(t) + a**2*U_c(t)*cos(theta(t))*Derivative(r(t), t)/r(t)**2 - a**2*cos(theta(t))*Derivative(U_c(t), t)/r(t)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "phi.diff(t)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "52970004-5d18-4905-a61c-01c5d9a7f81c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\frac{a^{2} \\operatorname{U_{c}}{\\left(t \\right)} \\cos{\\left(\\theta{\\left(t \\right)} \\right)}}{r^{2}{\\left(t \\right)}}$" + ], + "text/plain": [ + "a**2*U_c(t)*cos(theta(t))/r(t)**2" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "phi.diff(r)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "3bc6b6e8-cdba-4eb9-b754-e07cc74c6063", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\frac{a^{2} \\operatorname{U_{c}}{\\left(t \\right)} \\sin{\\left(\\theta{\\left(t \\right)} \\right)}}{r^{2}{\\left(t \\right)}}$" + ], + "text/plain": [ + "a**2*U_c(t)*sin(theta(t))/r(t)**2" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "phi.diff(theta)/r" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bcae9e54-d38d-4128-b872-e4bcb11d19c5", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/book/notebooks/contamination/Exercise_Contamination_Render.ipynb b/book/notebooks/contamination/Exercise_Contamination_Render.ipynb new file mode 100644 index 0000000..0bbed65 --- /dev/null +++ b/book/notebooks/contamination/Exercise_Contamination_Render.ipynb @@ -0,0 +1,689 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "id": "bcb1b890", + "metadata": {}, + "source": [ + "# Contaminant Transport" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "ab31a602", + "metadata": {}, + "source": [ + "````{note}\n", + "This page is generated from an `*.ipynb` file which requires several auxiliary files, all of which can be downloaded using the link below.\n", + "```{eval-rst}\n", + ":download:`Download zip file for this exercise.<exercise_contamination.zip>`\n", + "```\n", + "````" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "06fa7af4", + "metadata": {}, + "source": [ + "The purpose of this exercise is to:\n", + "- evaluate component reliability\n", + "- illustrate functions of random variables\n", + "- see the effect of random variable distributions on reliability\n", + "- consider 'sensitivity' as a functional and/or stochastic influence on the limit-state function\n", + "\n", + "You should accomplish this by playing with the code that is provided with the notebook and trying to answer the following questions:\n", + "1. Which random variables have the biggest influence on reliability?\n", + "2. How does the assumption of probability distribution influence reliability?\n", + "3. Do the random variables act as loads or resistances?\n", + "\n", + "## Introduction of Case Study\n", + "\n", + "The case study is a contaminant transport problem, illustrated in the figure below. A factory located near a town produces hazardous waste, which can threaten the drinking water supply of the town that is extracted from groundwater wells (C). The regional groundwater system has a gradient that causes water to flow in the direction of the town from the factory, thus any spilled hazardous waste that enters the ground will eventually be transported to the wells. In order to mitigate the consequences of a spill a ditch is constructed around the factory to collect it (A). Unfortunately, even with powerful pumps, there will still be some waste that reaches the groundwater table. Our task is to quantify the probability that the waste concentration exceeds the maximum exposure level to prevent the drinking water becoming unhealthy.\n", + "\n", + "```{figure} ./figures/sketch.png\n", + "---\n", + "width: 600px\n", + "name: sketch_contaminant\n", + "---\n", + "\n", + "```\n", + "\n", + "### Contaminant Transport\n", + "\n", + "Once the ditch becomes contaminated it is cleaned quickly, but unfortunately a 'pulse' of contamination enters the ground, after which the regional gradient carries it towards the town (advection). The pulse also disperses due to diffusion, which results in a classic advection-diffusion problem (see red shapes in diagram, at three different times, $t$). Because the ditch extends a long distance in the lateral direction and the contaminant is buoyant (it floats on the groundwater table and we neglect vertical dispersion), the problem can be analyzed in 1 dimension with the following analytic expression:\n", + "\n", + "$$\n", + "\\frac{C}{C_0} = \\frac{1}{2} \\mathrm{erf}\\left(\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)\n", + "$$\n", + "\n", + "Where $C$ contaminant concentration (e.g., parts per million, ppm) at distance $x$ from the ditch at time $t$ after the spill, and $C_0$ is the concentration in the ditch (just prior to cleanup). $\\mathrm{erf}$ is the error function. There are three parameters in the equation which are related to soil properties and groundwater flow:\n", + "\n", + "- $q$ is the horizontal groundwater flow velocity (specific discharge) [m/day]\n", + "- $n$ is the soil porosity [$-$]\n", + "- $a$ is the longitudinal dispersivity, which describes dispersion in the left to right direction in the image [m]\n", + "\n", + "Unfortunately there is not a lot of soil information, so we have to take into account uncertainty in these three variables, using the following probability distributions with first and second moments (i.e., $\\mu$ and $\\sigma$).\n", + "\n", + "- $q\\sim\\mathrm{N}\\left(\\mu_q=1.00,\\sigma_q=0.10\\right)$\n", + "- $n\\sim\\mathrm{N}\\left(\\mu_n=0.20,\\sigma_n=0.02\\right)$\n", + "- $a\\sim\\mathrm{N}\\left(\\mu_a=10.0,\\sigma_a=1.00\\right)$\n", + "\n", + "It is important to check the sensitivity of the reliability analysis to the distribution type and moments. We will use the concentration ratio $C/C_0$ to evaluate this problem and compare it to a threshold defined by health regulations: $\\mathrm{threshold}=1e-4$.\n", + "\n", + "### Definition of Limit States\n", + "\n", + "As shown in the figure above, there are two locations of interest: the monitoring station ($x=100$ m from the ditch, point B) and the town well ($x=500$ m, point C). We are interested in evaluating two cases with a reliability analysis:\n", + "1. Whether the contamination can be detected at the monitoring station above the threshold level within 1 week of the spill, and \n", + "2. If the contamination level at the town groundwater well exceeds the threshold level within 1 month of the spill (30 days)\n", + "\n", + "Relating these descriptions to our variables of interest:\n", + "1. find the probability that $C/C_0$ > threshold \n", + "2. find the probability that $C/C_0$ < threshold\n", + "\n", + "We will refer to these values as 'failure probabilities', even though case 1 technically doesn't correspond to failure---it's just the way we refer to things in practice.\n", + "\n", + "Next we will convert these into functions that will allow us to quantify the 'failure' conditions. For convenience, it is often useful to define the limit state as a function, $Z$, such that failure occurs when $Z<0$. It follows from the descriptions above, that the limit state functions for both cases are:\n", + "\n", + "1. $Z=C/C_0 - \\mathrm{threshold}$\n", + "2. $Z=\\mathrm{threshold} - C/C_0$\n", + "\n", + "NB: *in the book another notation used for $Z$ is $g_X(X)$.*\n", + "\n", + "### Analysis Approach\n", + "\n", + "Our programming task is to create a function of random variables to represent these two limit-states, define the random variables, then evaluate the reliability with Monte Carlo simulation. In other words, we will numerically approximate the probability distribution of $Z$, then evaluate reliability as $P(Z<0)$.\n", + "\n", + "This is a lot of work, but fortunately a number of helper functions and a Class are provided in the auxiliary file `exercise_setup.py`!\n", + "\n", + "### References\n", + "\n", + "This example draws inspiration from Case 2 of the paper by {cite:t}`sitar1987`." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "8287dbcf", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy.special import erfc\n", + "from scipy import stats\n", + "import seaborn as sns\n", + "\n", + "from exercise_setup import process_negative_values\n", + "from exercise_setup import RandomVariableDistribution\n", + "from exercise_setup import pdf_of_function_of_RV\n", + "from exercise_setup import monte_carlo" + ] + }, + { + "cell_type": "markdown", + "id": "d104b4b2-4fa5-4b37-891d-39201281ed2f", + "metadata": {}, + "source": [ + "## Defining the Limit States\n", + "\n", + "We only define limit state Case 2 below, and will use a simple multiplying factor of $-1$ to switch to Case 1 using a multiplying factor `flip_LSF`." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "64c24956", + "metadata": {}, + "outputs": [], + "source": [ + "def C_C0(q, n, a, x, t):\n", + " \"\"\"Contaminant concentration ratio.\"\"\"\n", + " q, n, a = process_negative_values(q, n, a)\n", + " return 0.5*erfc((x - q/n*t)/(2*np.sqrt(a*(q/n)*t)))\n", + "\n", + "def limit_state_fun(q, n, a, x, t, threshold):\n", + " \"\"\"Limit state fxn, Case 2 (multiply by flip_LSF=-1 for Case 1).\"\"\"\n", + " return threshold - C_C0(q, n, a, x, t)" + ] + }, + { + "cell_type": "markdown", + "id": "d7410d16-14d4-45c6-9f93-81ae08de0594", + "metadata": {}, + "source": [ + "## Class `RandomVariableDistribution`\n", + "\n", + "The class `RandomVariableDistribution` makes it very easy to define Normal and Lognormal distributions for the random variables. See documentation and example below.\n", + "\n", + "NB: *you can use the code in `exercisesetup.py` and this notebook to confirm the result of the 2 random variable case in the Probabilistic Design chapter, and recreate the figures.*" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "8bbf80be-5124-40ba-b3de-0da3eaa12ef1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Define a N or LN probability to use in MUDE week 2.7 exercise.\n", + " \n", + " Usage:\n", + " -----\n", + " Create an instance of the class\n", + " by default, the random variable is ~N(0,1)\n", + " Specify distribution using 1st and 2nd moments for N or LN:\n", + " --> use method define_distribution to change it!\n", + " (the method prints a summary of the change)\n", + " for example, copy/paste the following:\n", + " test = RandomVariableDistribution()\n", + " test.print_status()\n", + " test.define_distribution(mean=5, stddev=1, dist_type='LN')\n", + " An instance will include the following attributes:\n", + " - distribution moment and (scipy) parameters shape, location, scale\n", + " - dist_object: distribution object (scipy.stats)\n", + " - get_sample: method for getting random samples from the distribution\n", + " - plot_pdf_or_cdf:\n", + " \n" + ] + } + ], + "source": [ + "print(RandomVariableDistribution.__doc__)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "a9b93099-b1cb-458b-baf6-8ad5dd39c440", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The mean is 5.000e+00\n", + "The standard deviation is 1.000e+00\n", + "The distribution is Lognormal\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "example_random_variable = RandomVariableDistribution()\n", + "example_random_variable.define_distribution(mean=5,\n", + " dist_type='LN',\n", + " print_new_dist=True)\n", + "example_random_variable.plot_pdf_or_cdf()" + ] + }, + { + "cell_type": "markdown", + "id": "62617026-f251-462b-a93c-b7305cfd3fa4", + "metadata": {}, + "source": [ + "## Setting up the problem\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "4641ae3c", + "metadata": {}, + "outputs": [], + "source": [ + "N = 10000\n", + "\n", + "t = 7\n", + "x = 100\n", + "threshold = 1e-4\n", + "\n", + "flip_LSF = -1\n", + "\n", + "q_rv = RandomVariableDistribution()\n", + "q_rv.define_distribution(mean=1., stddev=.1)\n", + "n_rv = RandomVariableDistribution()\n", + "n_rv.define_distribution(mean=0.2, stddev=.02)\n", + "a_rv = RandomVariableDistribution()\n", + "a_rv.define_distribution(mean=10., stddev=1.)" + ] + }, + { + "cell_type": "markdown", + "id": "f3e0ffb1-6035-4f76-a550-4ff19c1b5946", + "metadata": {}, + "source": [ + "## Monte Carlo analysis\n", + "\n", + "The Monte Carlo procedure for estimating failure probability, $p_f$, is:\n", + "- For each random variable $X_i$ ($i = 1, …, n$) one simulates N realizations, $x_{i,1}, x_{i,1}, ..., x_{i,N}$. \n", + "- For each set of simulations $j$ ($j = 1, ..., N$) one calculates $g(x_{1,j}, x_{2,j}, …, x_{n,j})$\n", + "- In case $g(.) < 0$ a counter $N_f$ is increased by one. After $N$ simulations one calculates: $\\hat{p_f}=N_f/N$\n", + "- In case $N\\rightarrow+\\infty$ one obtains the failure probability $p_f$.\n", + "\n", + "The number of simulations $N$ directly influences the accuracy of $\\hat{p_f}$, which is an estimate of the 'true' value $p_f$. As an infinite number of simulations is not possible, one must choose a value for $N$ that balances total computation time, which increases linearly with $N$, and accuracy of the estimator $\\hat{p_f}$, which can be determined as the number of significant digits desired for $p_f$, or based on relative error (coefficient of variation, $V=\\sigma/\\mu$. The failure observations, $N_f$, within the Monte Carlo procedure are the result of a sequence of statistically independent and identically distributed random trials in a Bernoulli process. Using the binomial distribution, the standard deviation of of $\\hat{p_f}$ can be written\n", + "\n", + "$$\\sigma_\\hat{p_f}=\\sqrt{\\frac{p_f(1-p_f)}{N}}$$\n", + "\n", + "As $\\hat{p_f}\\rightarrow1$ this leads to the coefficient of variation, $V_\\hat{p_f}$:\n", + "\n", + "$$V_\\hat{p_f}=\\frac{\\sigma_\\hat{p_f}}{\\hat{p_f}}=\\frac{1}{\\sqrt{N\\hat{p_f}}}$$\n", + "\n", + "The coefficient of variation is a useful measure for gauging the accuracy of a Monte Carlo simulation: values of 0.01 are ideal, but 0.1 can be sufficient in many applications, depending on the need for accuracy. For example, consider $V=0.1$ for a target failure probability of $0.01$. Assuming the samples follow a Gaussian distribution implies a probability of 0.997 that the 'true' failure probability is within the interval 0.007-0.013. It is also useful to plot the calculated values of $V$ and $\\hat{p_f}$ for every realization $j = 1, ..., N$, as shown below. The figure clearly shows convergence to a stable value of $\\hat{p_f}$ after X simulations, indicating that for future analyses that are similar can use a lower number of simulations instead ($N\\sim X$).\n", + "\n", + "In case of a target coefficient of variation the number of required simulations $N$ increases as $p_f$ decreases. As an example, for $V = 0.01$ and $p_f=1e-5$ one has to execute $10^9$ simulations. As for this case on average only one of 10^5 simulations leads to an increase of $N_f$, the frequency of obtaining a 'success' (realization in the unsafe domain) is very low. In addition, for low failure probabilities the number of function evaluations is quite high, which may be practically impossible if there is a high function evaluation time, for example with a complex finite element model. To address this problem, variance reducing techniques have been developed which allow the simulations to be performed in a more effective way. In the following the so-called importance sampling or Latin hypercube sampling." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "ec7883de-544e-48d5-85f2-dfc7856e9028", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MONTE CARLO RESULTS\n", + "--------------------------------------------------\n", + " N = 10000, number of samples\n", + " Nf = 18, number of failed realizations\n", + " pf = 1.800e-03, estimated failure probability\n", + " V = 0.236, c.o.v. of estimated pf\n", + "\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sample_q = q_rv.get_sample(N)\n", + "sample_n = n_rv.get_sample(N)\n", + "sample_a = a_rv.get_sample(N)\n", + "sample_C_C0 = C_C0(sample_q, sample_n, sample_a, x, t)\n", + "sample_Z = flip_LSF*limit_state_fun(sample_q,\n", + " sample_n,\n", + " sample_a,\n", + " x, t, threshold)\n", + "\n", + "monte_carlo(sample_Z);" + ] + }, + { + "cell_type": "markdown", + "id": "d00e1316-c4ac-474d-93ad-18abcda30cfc", + "metadata": {}, + "source": [ + "The method `pdf_of_function_of_RV` makes it easy to see what the distribution of $C/C_0$ and the limit state function for different distributions of q, n or a. Below a second distribution of a is considered:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "c08e0e56-8a6b-45a2-ad3f-abe3ce869513", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a has 61 negative values that have been set to 1.0e-03.\n", + "a has 54 negative values that have been set to 1.0e-03.\n", + "The mean is 1.000e+01\n", + "The standard deviation is 1.000e+00\n", + "The distribution is Normal\n", + "The mean is 1.000e+01\n", + "The standard deviation is 4.000e+00\n", + "The distribution is Normal\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGzCAYAAADHdKgcAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAABHyUlEQVR4nO3deXxU9b3/8feZJfsCAUmCBgwCboALVgVUQAsKlmq1ixvCrVpZlCK2KPpoi+UKwr2iVxFcrgV7r157K2jtT8pylUWLCyBUCigKAVQS0bCENZnl+/sjyckMmWxkJpOceT0fjzxkzpw5+cx3Ds6b7/d7vscyxhgBAAAkEFe8CwAAAGhpBCAAAJBwCEAAACDhEIAAAEDCIQABAICEQwACAAAJhwAEAAASjifeBbSUYDCoPXv2KDMzU5ZlxbscAADQCMYYHTp0SJ07d5bLFb1+m4QJQHv27FFBQUG8ywAAACfhyy+/1GmnnRa14yVMAMrMzJQkFRUVKScnJ87VtG0+n0/Lli3T0KFD5fV6411Om0ZbRgftGD20ZfTQltGxb98+FRYW2t/j0ZIwAah62CszM1NZWVlxrqZt8/l8SktLU1ZWFn+pm4m2jA7aMXpoy+ihLaPD5/NJUtSnrzAJGgAAJBwCEAAASDgEIAAAkHASZg4QAAANCQQC9pyT5vL5fPJ4PDp+/LgCgUBUjulUSUlJUb3EvTEIQACAhGeMUUlJiQ4cOBDVY+bl5enLL79k/bkGuFwuFRYWKikpqcV+JwEIAJDwqsNPp06dlJaWFpXAEgwGdfjwYWVkZLR470ZbUr1QcXFxsbp06dJiYZEABABIaIFAwA4/HTp0iNpxg8GgKioqlJKSQgBqwCmnnKI9e/bI7/e32JIBfCIAgIRWPecnLS0tzpUkruqhr5acK0UAAgBA0V9oD40Xj7YnAAEAgIRDAAIAAAmHAAQAABIOAQgAgDaspKRE9957r7p166bk5GQVFBRoxIgRevvtt+NW0/HjxzV69Gj17t1bHo9H119/fdxqqQuXwQMAwviDkj8QFDcwb/127typAQMGqF27dpo1a5b69Okjn8+npUuXavz48fr000/jUlcgEFBqaqomTJighQsXxqWGhtADBACwHa3w65GP3brtD+viXUpcGWN0tMLf7J9jFYEm7W+MaVKd48aNk2VZ+uijj/TjH/9YPXv21LnnnqtJkybpgw8+sPebPXu2evfurfT0dBUUFGjcuHE6fPiw/fyuXbs0YsQItW/fXunp6Tr33HO1ePFi+/ktW7Zo+PDhysjIUG5urkaOHKnvvvuuzrrS09M1b9483XXXXcrLy2vSe2op9AABAGzv79inMp+l9bsPyBiTsJeGH/MFdM5vl7b4793y+6uVltS4r+Z9+/ZpyZIlevTRR5Wenl7r+Xbt2tl/drlceuqpp3T66aerqKhI48aN0+TJkzV37lxJ0vjx41VRUaHVq1crPT1dW7ZsUUZGhiSpuLhYAwcO1F133aXZs2fr2LFjeuCBB/TTn/5U77zzTvPfdJwQgAAAtqMVNQvR+QJGSZ7EDEBtwRdffCFjjM4666wG9504caL958LCQk2bNk1jx461A9Du3bt14403qnfv3pKkbt262fvPmzdPF154oaZPn25v+8Mf/qCCggJt27ZNPXv2jNI7alkEIACAzR3S43PcH1CSJzFnSqR63dry+6ubdYxgMKhDZYeUmZXZ6FthpHrdjT5+9XBZY3rpVqxYoenTp2vLli0qKyuT3+/X8ePHdeTIEaWnp2vChAkaO3asli1bpu9///u68cYb1adPH0nS+vXrtWLFCrtHKNT27dvbbABKzDMbABBR6HfpcV/L3ZagtbEsS2lJnmb/pCa5m7R/U4Yce/ToIcuytHXr1nr327Vrl4YPH65evXpp4cKFWr9+vZ555hlJNbcBufPOO7Vjxw6NHDlSmzZt0kUXXaSnn35aUmWQGzFihDZu3Bj28/nnn+uKK644yRaOPwIQAMDmD9ZMwq3wB+NYCRqSk5Ojq6++Ws8884yOHDlS6/kDBw5IktatWye/36/HH39cl156qXr27Kk9e/bU2r+goEBjxozRokWLdP/99+uFF16QJF144YXavHmzTj/9dHXv3j3sJ9Lco7aCAAQAsPkCNaEnSP5p9ebOnatAIKCLL75YCxcu1Oeff66tW7fqqaeeUr9+/SRJZ5xxhvx+v55++mnt2LFD//Vf/6Vnn3027DgTJ07U0qVLVVRUpI8//ljvvPOOzj77bEmVE6T37dunm2++WR999JF27NihZcuW6ec//3m9Ny/dsmWLNm7cqH379ungwYN2z1FrwRwgAIDNH6jpAfKTgFq9wsJCffzxx3r00Ud1//33q7i4WKeccor69u2refPmSZLOP/98zZ49WzNnztSUKVN0xRVXaMaMGbr99tvt4wQCAY0fP15fffWVsrKydM011+iJJ56QJHXu3Fl///vf9cADD+jqq69WeXm5unbtqmuuuabeuU3Dhw/Xrl277McXXHCBJDX5Uv9YIQABAGxhPUCt5IsK9cvPz9ecOXM0Z86cOve57777dN9994VtGzlypP3n6vk+denRo4cWLVrUpLp27tzZpP1bGkNgAACbLxjaA0QAgnMRgAAAttBOn9DhMMBpCEAAAFvo/AyGwOBkBCAAgC101IshMDgZAQgAYDMK6QEiAMHBCEAAAFvole/0AMHJCEAAgIjoAYKTEYAAALbQic/0AMHJCEAAAFvohV8BrgKDgxGAAAC20B6gAOsAtQklJSW699571a1bNyUnJ6ugoEAjRozQ22+/HbeaVq5cqeuuu075+flKT0/X+eefr5dffjlu9UTCrTAAADZ6gNqWnTt3asCAAWrXrp1mzZqlPn36yOfzaenSpRo/frw+/fTTuNS1Zs0a9enTRw888IByc3P11ltv6fbbb1dWVpZGjBgRl5pORA8QAMAWehl8gDlArd64ceNkWZY++ugj/fjHP1bPnj117rnnatKkSfrggw/s/WbPnq3evXsrPT1dBQUFGjdunA4fPmw/v2vXLo0YMULt27dXenq6zj33XC1evNh+fsuWLRo+fLgyMjKUm5urkSNH6rvvvquzroceekjTpk1T//79dcYZZ2jChAm65ppr9Prrr8emIU4CAQgAYAvNPAkdgIyRKo40/8d3tGn7N6HXbd++fVqyZInGjx+v9PT0Ws+3a9fO/rPL5dJTTz2lf/7zn3rppZf0zjvvaPLkyfbz48ePV3l5uVavXq1NmzZp5syZysjIkCQVFxdr4MCBOv/887Vu3TotWbJE33zzjX760582qUkPHjyonJycJr0mlhgCAwDYDAGoku+oNL1zsw7hktSuqS96aI+UVDvMRPLFF1/IGKOzzjqrwX0nTpxo/7mwsFDTpk3T2LFjNXfuXEnS7t27deONN6p3796SpG7dutn7z5s3TxdeeKGmT59ub/vDH/6ggoICbdu2TT179mzw97/22mtau3atnnvuuUa9t5ZAAAIA2AyXwbcZ1Z+VZVkN7rtixQpNnz5dW7ZsUVlZmfx+v44fP64jR44oPT1dEyZM0NixY7Vs2TJ9//vf14033qg+ffpIktavX68VK1bYPUKhtm/f3mAAWrlypUaPHq0XXnhB55577km809ggAAEAbKGRJ6EXQvSmVfbGNEMwGFTZoUPKysyUy9XIGSfetEYfv0ePHrIsS1u3btX1119f5367du3S8OHDNWbMGE2bNk05OTl67733dMcdd8jn80mS7rzzTl199dV66623tGzZMs2YMUOPP/647r33XgWDQY0YMUIzZ86sdez8/Px6a1y1apVGjBih2bNn6/bbb2/0e2sJBCAAgI2FEKtYVqOHouoUDEreQOVxGhuAmiAnJ0dXX321nnnmGU2YMKHWPKADBw6oXbt2Wrdunfx+vx5//HE7iP3v//5vreMVFBRozJgxGjNmjKZMmaIXXnhB9957ry688EItXLhQp59+ujyexseGlStX6gc/+IFmzpypX/ziF817szHAJGgAgI3L4NuWuXPnKhAI6OKLL9bChQv1+eefa+vWrXrqqafUr18/SdIZZ5whv9+vp59+Wjt27NB//dd/6dlnnw07zsSJE7V06VIVFRXp448/1jvvvKOzzz5bUuUE6X379unmm2/WRx99pB07dmjZsmX6+c9/rkAgELGulStX6tprr9WECRN04403qqSkRCUlJdq3b19sG6QJCEAAAFv4QojBevZEa1BYWKiPP/5YgwcP1v33369evXppyJAhevvttzVv3jxJ0vnnn6/Zs2dr5syZ6tWrl15++WXNmDEj7DiBQEDjx4/X2WefrWuuuUZnnnmmPUG6c+fO+vvf/65AIKCrr75avXr10i9/+UtlZ2fXObS3YMECHT16VDNmzFB+fr79c8MNN8S2QZqAITAAgC200yeRR8Dakvz8fM2ZM0dz5sypc5/77rtP9913X9i2kSNH2n9++umn6/0dPXr00KJFixpd04IFC7RgwYJG7x8P9AABAGxhk6AZAoODEYAAALbQ0EP+gZMRgAAAtvAhMBIQnIsABACwhS6EyBwgOBkBCABgYw4QEgUBCABgC58DlFgBKBjksv94ice5xmXwAABb+M1Q41dHS0pKSpLL5dKePXt0yimnKCkpqVH312pIMBhURUWFjh8/3vhbYSQgY4y+/fZbWZYlr9fbYr+XAAQAsAUTcBK0y+VSYWGhiouLtWdP8+7/FcoYo2PHjik1NTUqgcrJLMvSaaedJrfb3WK/kwAEALCZBB0CS0pKUpcuXeT3++u8vUNT+Xw+rV69WldccUWL9my0RV6vt0XDj0QAAgCECJ8EHbcy4qJ6CCZaYcXtdsvv9yslJYUA1AoxKAkAsAXDLoNPsASEhEIAAgDYuBcYEgUBCABgS9Q5QEg8BCAAgI1bYSBRtMoANGPGDFmWpYkTJ9rbjDGaOnWqOnfurNTUVA0aNEibN2+OX5EA4EBBhsCQIFpdAFq7dq2ef/559enTJ2z7rFmzNHv2bM2ZM0dr165VXl6ehgwZokOHDsWpUgBwHiMmQSMxtKoAdPjwYd1666164YUX1L59e3u7MUZPPvmkHn74Yd1www3q1auXXnrpJR09elSvvPJKHCsGAGcJ7fUh/8DJWtU6QOPHj9e1116r73//+/rXf/1Xe3tRUZFKSko0dOhQe1tycrIGDhyoNWvW6O677651rPLycpWXl9uPy8rKJFUuTOXz+WL4Lpyvuv1ox+ajLaODdoyeQMj9L/yBAG3aDJyX0RGr9ms1AejVV1/V+vXrtW7dulrPlZSUSJJyc3PDtufm5mrXrl0Rjzdjxgw98sgjtbavWLFCaWlpUagYy5cvj3cJjkFbRgft2Hwl37hUPThQtHOXFi8uim9BDsB52TxHjx6NyXFbRQD68ssv9ctf/lLLli1TSkpKnfudeC8VY0yd91eZMmWKJk2aZD8uKytTQUGBBg8erA4dOkSn8ATl8/m0fPlyDRkyhNVNm4m2jA7aMXreOrBBKv1WknRaQRcNH35OnCtquzgvo6O0tDQmx20VAWj9+vXau3ev+vbta28LBAJavXq15syZo88++0xSZU9Qfn6+vc/evXtr9QpVS05OVnJycq3t0VzmPNHRltFDW0YH7RgFIf+obOm7czsV52XzxKrtWsUk6KuuukqbNm3Sxo0b7Z+LLrpIt956qzZu3Khu3bopLy8vrBuxoqJCq1atUv/+/eNYOQA4C+sAIVG0ih6gzMxM9erVK2xbenq6OnToYG+fOHGipk+frh49eqhHjx6aPn260tLSdMstt8SjZABwJBN2L7A4FgLEWKsIQI0xefJkHTt2TOPGjdP+/ft1ySWXaNmyZcrMzIx3aQDgGEF6gJAgWm0AWrlyZdhjy7I0depUTZ06NS71AEAiCF0IkfwDJ2sVc4AAAK0DPUBIFAQgAICNOUBIFAQgAICNq8CQKAhAAABb+L3ACEBwLgIQAMAWdjf4YD07Am0cAQgAYGMIDImCAAQAsDEJGomCAAQAsHEZPBIFAQgAYAuNPAQgOBkBCABgYwgMiYIABACwcRk8EgUBCABgC+8BIgDBuQhAAABb2CRo1gGCgxGAAAC2sIUQ6QGCgxGAAAA2YyL/GXAaAhAAwMZK0EgUBCAAgC3IJGgkCAIQAMAW3gMUvzqAWCMAAQBsoZfBsw4QnIwABACwhd8KI25lADFHAAIA2ELn/QRIQHAwAhAAwMbd4JEoCEAAABvrACFREIAAADbuBYZEQQACANjCJ0ETgOBcBCAAgC0Ydhl8HAsBYowABACwcSsMJAoCEADAFj4HKI6FADFGAAIA2JgDhERBAAIA2IJcBo8EQQACANi4GzwSBQEIAFCDSdBIEAQgAIAtyCRoJAgCEADAFpp5DD1AcDACEADAxt3gkSgIQAAAW/hCiPGrA4g1AhAAwMZK0EgUBCAAgM2Ie4EhMRCAAAC2ID1ASBAEIACAjYUQkSgIQACAGkyCRoIgAAEAbKG9PqwDBCcjAAEAbOF3g49bGUDMEYAAADYmQSNREIAAADZjwi+DZxgMTkUAAgDYTsw75B84FQEIAGAzktwK2I8ZBoNTEYAAALZO5jutTx6jaZ4/SJICBCA4FAEIAGAb735D7awjGun5P0kMgcG5CEAAAEmVE569IcNfkhTgWng4FAEIACCp8hL4Y0qyH3vkF/EHTkUAAgBIqn3Je5L8TIKGYxGAAACSKnuArJA+nyT5ZIJxLAiIIQIQAECSZGTkUU3iSZaPHiA4FgEIACCp8oqvZMtnP06yCEBwLgIQAEBSVQBShf24sgcojgUBMUQAAgBIqlz1OUl++3Eyk6DhYAQgAICkygCUrJAhMOYAwcEIQAAASZX3AQsNQMkWQ2BwLgIQAECSZIJSslUzByhJPgVJQHAoAhAAQFLlZfBhPUDycS8wOBYBCAAgqXIhRG/IJGhWgoaTEYAAAJIqb4XhDlsIsYIABMciAAEAJFX2ALlCApDXCjAJGo5FAAIASKqcAxTaA+RRgB4gOFarCEDz5s1Tnz59lJWVpaysLPXr109/+9vf7OeNMZo6dao6d+6s1NRUDRo0SJs3b45jxQDgPMZILqsm8LgJQHCwVhGATjvtND322GNat26d1q1bpyuvvFLXXXedHXJmzZql2bNna86cOVq7dq3y8vI0ZMgQHTp0KM6VA4BzBE+YA+RVQEHuBg+HahUBaMSIERo+fLh69uypnj176tFHH1VGRoY++OADGWP05JNP6uGHH9YNN9ygXr166aWXXtLRo0f1yiuvxLt0AHAMYxQWgOgBgpN54l3AiQKBgP785z/ryJEj6tevn4qKilRSUqKhQ4fa+yQnJ2vgwIFas2aN7r777ojHKS8vV3l5uf24rKxMkuTz+eTz+SK+Bo1T3X60Y/PRltFBO0ZHhc8n7wlzgHw+P+16kjgvoyNW7ddqAtCmTZvUr18/HT9+XBkZGXr99dd1zjnnaM2aNZKk3NzcsP1zc3O1a9euOo83Y8YMPfLII7W2r1ixQmlpadEtPkEtX7483iU4Bm0ZHbRj85Qel64PC0BBvfv397Q7I45FOQDnZfMcPXo0JsdtNQHozDPP1MaNG3XgwAEtXLhQo0aN0qpVq+znLcsK298YU2tbqClTpmjSpEn247KyMhUUFGjw4MHq0KFD9N9AAvH5fFq+fLmGDBkir9cb73LaNNoyOmjH6Ni976jcW0KGwKyA+vXrr/ML2sWvqDaM8zI6SktLY3LcVhOAkpKS1L17d0nSRRddpLVr1+o//uM/9MADD0iSSkpKlJ+fb++/d+/eWr1CoZKTk5WcnFxru9fr5USMEtoyemjL6KAdm8fj8cilmjk/XgXkcnto02bivGyeWLVdq5gEHYkxRuXl5SosLFReXl5YF2JFRYVWrVql/v37x7FCAHCWIJOgkUBaRQ/QQw89pGHDhqmgoECHDh3Sq6++qpUrV2rJkiWyLEsTJ07U9OnT1aNHD/Xo0UPTp09XWlqabrnllniXDgCOceKtMDwKcjd4OFarCEDffPONRo4cqeLiYmVnZ6tPnz5asmSJhgwZIkmaPHmyjh07pnHjxmn//v265JJLtGzZMmVmZsa5cgBwjqCRrLAA5OdWGHCsVhGAXnzxxXqftyxLU6dO1dSpU1umIABIQJF6gAxDYHCoVjsHCADQsowxcofcCqPyXmBxLAiIIQIQAECSFAwGwh57LCZBw7kIQAAASZI5IQBxFRicjAAEAJBUOwB5FBD5B05FAAIASJLMCbd+9yioAJOA4FAEIABAJYbAkEAIQACASiY8AHm5CgwORgACAEiqfRWYWwHWAYJjEYAAAJIkE/SHPfZa9ADBuQhAAABJkjkh7TAHCE5GAAIAVDqhB8ijIAEIjkUAAgBUMieuA+RnHSA4FgEIACBJMoETAxDrAMG5CEAAgEqGdYCQOAhAAABJ3AoDiYUABACoVOtWGPQAwbkIQAAASRHuBcY6QHAwAhAAQJJkDJfBI3EQgAAAlUx4DxC3woCTeRq745tvvtnkgw8ZMkSpqalNfh0AoOXVuhUGN0OFgzU6AF1//fVNOrBlWfr888/VrVu3ptYEAIgDK8IkaNYBglM1aQispKREwWCwUT9paWmxqhkAEAPVl8GXyytJcjMHCA7W6AA0atSoJg1n3XbbbcrKyjqpogAAcVA1B8hXNTjgZh0gOFijh8Dmz5/fpAPPmzevycUAAOKneg6QT15Jx+SxKnv0ASdqdA/QJ5980qS/CJs3b5bf7294RwBA63BCD1DlpkBdewNtWqMD0AUXXKDS0tJGH7hfv37avXv3SRUFAGh5lt0DFDI4YPiHLJyp0UNgxhj95je/afTk5oqKipMuCgDQ8qrX/PGHfDVYQQIQnKnRAeiKK67QZ5991ugD9+vXjzWAAKAtqRruqqi6CkxiCAzO1egAtHLlyhiWAQCIt+qw47c8UtXVXyZADxCciVthAAAkSZapDEABuRWs+nqwgr54lgTEDAEIAFCpKgAF5VLQckuSLIbA4FAEIABApaqlTowsOwCJSdBwKAIQAECSZEJ7gFQVgLgMHg7VpAC0Y8cO+zJJAICzVN8MNWi5FLQ8VdsIQHCmJgWgHj166Ntvv7Uf/+xnP9M333wT9aIAAC3PRJgDxBAYnKpJAejE3p/FixfryJEjUS0IABAf1ROewyZBGyZBw5mYAwQAqFIZdowsmaoAxDpAcKomBSDLsmRZVq1tAAAHqJ4DpJA5QPQAwaEavRK0VDkENnr0aCUnJ0uSjh8/rjFjxig9PT1sv0WLFkWvQgBAyzA1AcjY6wDRAwRnalIAGjVqVNjj2267LarFAADiqHoOkBUyCZoeIDhUkwLQ/PnzY1UHACDOLFUvhOiScbESNJyNSdAAgEoRrwJjCAzO1KQeIEkKBoNasGCBFi1apJ07d8qyLBUWFurHP/6xRo4cyaRoAGijqic8G8uSYSFEOFyT1wH64Q9/qDvvvFNff/21evfurXPPPVe7du3S6NGj9aMf/ShWdQIAYi3SzVDpAYJDNakHaMGCBVq9erXefvttDR48OOy5d955R9dff73++Mc/6vbbb49qkQCAFhCsXOyWq8CQCJrUA/Q///M/euihh2qFH0m68sor9eCDD+rll1+OWnEAgBZUPQQmV8gQGJOg4UxNCkCffPKJrrnmmjqfHzZsmP7xj380uygAQMurngMUtFwyLhZChLM1KQDt27dPubm5dT6fm5ur/fv3N7soAEDLsydBy6q5DJ45QHCoJgWgQCAgj6fuaUNut1t+P39ZAKBNMiHrAFUNgbnoAYJDNetWGCcqLy+PSlEAgDiIdCsMAhAcqkkB6Pbbb29wnR+uAAOAtil8DhBXgcHZmnwZPADAmSx7CMxiCAyO16Q5QMeOHdP48eN16qmnqlOnTrrlllv03Xffxao2AEBLCrkVRs0kaAIQnKlJAei3v/2tFixYoGuvvVY33XSTli9frrFjx8aqNgBAC7J7gKyQdYC4CgwO1aQhsEWLFunFF1/UTTfdJEm67bbbNGDAAAUCAbnd7pgUCABoGZZqFkKUq/LfxwyBwama1AP05Zdf6vLLL7cfX3zxxfJ4PNqzZ0/UCwMAtLCQq8BksRAinK3J6wAlJSWFbfN4PKz9AwAOUDMEVrMQopsABIdq9jpAx48f15gxY5Senm5vW7RoUfQqBAC0CMuEDoFVXwXGP3DhTE0KQKNGjaq17bbbbotaMQCA+LHCVoKu7AFiDhCcqkkBaP78+bGqAwAQb9wMFQmkSXOAAADOFdoDVD0E5mYIDA5FAAIASKoJQEFZdgCiBwhORQACAEgKmQRthU6CJgDBmQhAAABJkYfAXCIAwZkIQAAASeG3wpCLq8DgbAQgAICk0FthWCGToAlAcKZWEYBmzJih733ve8rMzFSnTp10/fXX67PPPgvbxxijqVOnqnPnzkpNTdWgQYO0efPmOFUMAM4TdjNUhsDgcK0iAK1atUrjx4/XBx98oOXLl8vv92vo0KE6cuSIvc+sWbM0e/ZszZkzR2vXrlVeXp6GDBmiQ4cOxbFyAHCO0DlAFkNgcLgmLYQYK0uWLAl7PH/+fHXq1Enr16/XFVdcIWOMnnzyST388MO64YYbJEkvvfSScnNz9corr+juu++OR9kA4Cj2ZfCWSxZXgcHhWkUAOtHBgwclSTk5OZKkoqIilZSUaOjQofY+ycnJGjhwoNasWRMxAJWXl6u8vNx+XFZWJkny+Xzy+XyxLN/xqtuPdmw+2jI6aMfoCL0XWKBqgMBlArTrSeK8jI5YtV+rC0DGGE2aNEmXXXaZevXqJUkqKSmRJOXm5obtm5ubq127dkU8zowZM/TII4/U2r5ixQqlpaVFuerEtHz58niX4Bi0ZXTQjs1zdvkxSZWToHcU7dTZkqxAhRYvXhzfwto4zsvmOXr0aEyO2+oC0D333KNPPvlE7733Xq3nLMsKe2yMqbWt2pQpUzRp0iT7cVlZmQoKCjR48GB16NAhukUnGJ/Pp+XLl2vIkCHyer3xLqdNoy2jg3aMjuJPZ0jHKidBd+95pvSN5HUZDR8+PN6ltUmcl9FRWloak+O2qgB077336s0339Tq1at12mmn2dvz8vIkVfYE5efn29v37t1bq1eoWnJyspKTk2tt93q9nIhRQltGD20ZHbRj81gykiqHwDzeyv9/uhSgTZuJ87J5YtV2reIqMGOM7rnnHi1atEjvvPOOCgsLw54vLCxUXl5eWDdiRUWFVq1apf79+7d0uQDgSK6QW2FY7sovHbeC8SwJiJlW0QM0fvx4vfLKK/rLX/6izMxMe85Pdna2UlNTZVmWJk6cqOnTp6tHjx7q0aOHpk+frrS0NN1yyy1xrh4AnKFmHSBLlpurwOBsrSIAzZs3T5I0aNCgsO3z58/X6NGjJUmTJ0/WsWPHNG7cOO3fv1+XXHKJli1bpszMzBauFgCcybJ7e1x2AHKzECIcqlUEIGNMg/tYlqWpU6dq6tSpsS8IABJQ6BCYy1U9BEYAgjO1ijlAAID4q+4BCsoll5t7gcHZCEAAAEmht8KwQobAmAQNZyIAAQAkSS7V3AyVOUBwOgIQAEBS+N3gXQQgOBwBCAAgSXKZmqvAXG4mQcPZCEAAAEmSpeqrwGrmAHkUbNSVukBbQwACAEiq6QEyJ/QABYIEIDgPAQgAIKnmMngjl9xutyTJo4AC9ADBgQhAAABJNVeByVVzLzCPAgpyJTwciAAEAJAUPgTm9lRdBWYZ+QP+eJYFxAQBCAAgKXQIzJLLk2RvD/q5EgzOQwACAEgK6QGyXHK7a24VGQj44lUSEDMEIACAJMlVveaP5ZLL47W3BxkCgwMRgAAAkiRLlVd7GcsluWp6gIL0AMGBCEAAAMkYuaoDkFyS5bafCvoJQHAeAhAAQAqGTnS2JMuS31R+RQQYAoMDEYAAAJKpCUDGqgo+clc9RQ8QnIcABAAI7wGqDkBV/2USNJyIAAQAkEzNcs9G9ADB+QhAAIDwITBXeAAKBlgIEc5DAAIA1J4ErZAAxFVgcCACEACgjiEwV9VTBCA4DwEIABDWA2TVGgJjEjSchwAEALDnAPmNq2oATApY1UNgBCA4DwEIAGAPgQUUEoDkqXqKITA4DwEIAGAPgQXlqp4DbfcAGYbA4EAEIACAPQQWlGX3AAWrvyICFfGpCYghAhAAQArWHgLzW15JLIQIZyIAAQBCeoBcsqoSkN+qmgNEAIIDEYAAAPYcoLBJ0FU9QAyBwYkIQAAA+yqwYOgQWNVVYKIHCA5EAAIAhE2Ctq8Cc1X3ABGA4DwEIABA2BBY9RdDwO4BYggMzkMAAgCED4FZRlJoDxABCM5DAAIA1PQAhdwKI1h1FZjFStBwIAIQACDsVhgueyVohsDgXAQgAEDYOkDVgkyChoMRgAAAIfcCs2qtA2QRgOBABCAAgN0DFAhZCdoOQMwBggMRgAAA9r3AgiGXwVcPgVlB5gDBeQhAAICIPUB2AGIIDA5EAAIARLwVRpAhMDgYAQgAEPFmqMZNAIJzEYAAAGH3AqseApM9BMYcIDgPAQgAEHIZfMgQGD1AcDACEACgZiVo46rVA+QiAMGBCEAAgIhzgOROkkQPEJyJAAQACLsKrPpeYPJU9wD541QUEDsEIABA2CRomyu58j/0AMGBCEAAgDqGwKp6gAwBCM5DAAIAhN0NvnoStOWpnANEDxCciAAEAAjrAar+YrCqJkG76QGCAxGAAAA1l8GH9ACJHiA4GAEIABDxXmCuqjlAbsNVYHAeAhAAIGQlaKvWHCAPQ2BwIAIQAEAmwlVgLk/1HCB6gOA8BCAAgB2AgqYmADEJGk5GAAIAyFSt9hw6CdrlrRoCUyBeZQExQwACAMiE3gqjapvbW7UStIJSgGEwOAsBCAAQcRK0y5Nc83ygPA5FAbFDAAIAhE2CrmZ5U2p28B1v6ZKAmCIAAQBqJkGHXAXm8XhVYdyVD/wEIDgLAQgAENYD5KpKQB63peOqnAhNAILTEIAAAPYcIL/cdg+Q1+1SuSpXgyYAwWkIQAAAqeoy+NC7wXtclsqre4CYAwSHIQABAOwhMH/IHCCv26VyQw8QnKlVBKDVq1drxIgR6ty5syzL0htvvBH2vDFGU6dOVefOnZWamqpBgwZp8+bN8SkWABzIROgBcof2ABGA4DCtIgAdOXJE5513nubMmRPx+VmzZmn27NmaM2eO1q5dq7y8PA0ZMkSHDh1q4UoBwKHsSdBue5PXbek4c4DgUJ54FyBJw4YN07BhwyI+Z4zRk08+qYcfflg33HCDJOmll15Sbm6uXnnlFd19990RX1deXq7y8pqFu8rKyiRJPp9PPh/3tWmO6vajHZuPtowO2rH5gv7KtjNV/y72+XxSMKhyU9kD5C8/IkP7NgnnZXTEqv1aRQCqT1FRkUpKSjR06FB7W3JysgYOHKg1a9bUGYBmzJihRx55pNb2FStWKC0tLWb1JpLly5fHuwTHoC2jg3Y8eefu+UrdVTkHSKpsy33l0ulVPUCfrP9IX+5MrucIqAvnZfMcPXo0Jsdt9QGopKREkpSbmxu2PTc3V7t27arzdVOmTNGkSZPsx2VlZSooKNDgwYPVoUOH2BSbIHw+n5YvX64hQ4bI6/XGu5w2jbaMDtqx+Sr+d5F0UDJW5dfCkCFDtO9YQP/c9LQk6bxzeqp33+HxLLHN4byMjtLS0pgct9UHoGpW9ay8KsaYWttCJScnKzm59r9WvF4vJ2KU0JbRQ1tGB+148nwykqSgVdkD5PV6lRp023OAXMEKuWnbk8J52TyxartWMQm6Pnl5eZJqeoKq7d27t1avEADgJNlXgdVMgva4XPYcoCDrAMFhWn0AKiwsVF5eXtgYakVFhVatWqX+/fvHsTIAcA5jqq4Cs2q+FjwhV4EFK47FpS4gVlrFENjhw4f1xRdf2I+Lioq0ceNG5eTkqEuXLpo4caKmT5+uHj16qEePHpo+fbrS0tJ0yy23xLFqAHAOq7oHyKr5WvC4a9YBogcITtMqAtC6des0ePBg+3H15OVRo0ZpwYIFmjx5so4dO6Zx48Zp//79uuSSS7Rs2TJlZmbGq2QAcBQTDFb+N2RgIMntogcIjtUqAtCgQYNkjKnzecuyNHXqVE2dOrXligKABFLTA1QzB8iyLPmtyotJgiyECIdp9XOAAAAtoGoOUPCEr4WAuyoA0QMEhyEAAQBqrgIL6QGSpICrcg6QoQcIDkMAAgBI1XOAagWglMo/0AMEhyEAAQAkE7kHKFg1BKZA+YmvANo0AhAAwL4bvDnha8EOQD56gOAsBCAAQMSrwCQp4Km8ebTlj80NKYF4IQABACRTxxygqgDk9hGA4CwEIABA3VeBeSsDkIseIDgMAQgAIMvUMQfIky5J8hCA4DAEIABAzUKIJ/QAmaSqABQ4Zk+UBpyAAAQAkFV9FdiJl8F702seMA8IDkIAAgDU2QPk9qbIb6q+KiqOtHRVQMwQgAAAdg+QTghASV63jqp6NWgCEJyDAAQAqJkEfUIASva4daQ6AJUfaumygJghAAEAQobAwr8WkjwuHTVVq0HTAwQHIQABAOyVoI3rxB4gV00PEAEIDkIAAgDIql4JWifMAfK4QuYAHW7psoCYIQABAGRV3Q1eLk/Y9mSPW0cMPUBwHgIQAMC+F5giDIEdFXOA4DwEIABIdMbIVX0V2AkBKNUb2gPEEBicgwAEAImuuvdHqjUElpbkZg4QHIkABACJruoKMEmyTlgHKC3ZozJV3hFexw+2ZFVATBGAACDRhdzk1IrQA3TQVN0PjAAEByEAAUCiC+kBkrv2HKCy6gB07EDL1QTEGAEIABKdqekBkhWhB0jVPUAHWq4mIMYIQACQ6MKGwE6YA5TksYfADD1AcBACEAAkuqohsICx5HJZYU+lJrmZBA1HIgABQKIL+CRJfnnkPiEAhU+CPiAZ08LFAbFBAAKARBesDEAVEQKQ1+3SUXeGpKobprIaNByCAAQAic7uAXLLbVm1nra86fKZqrlBTISGQxCAACDRhQSgE+cASZWLIdZcCcY8IDgDAQgAEl2gQlLkITCpciL0QdYCgsMQgAAg0VVdBeY3brkiDIGFrQV0tLQlKwNihgAEAImuagjMJ4/cEb4VMpO9KjXZlQ+OfteChQGxQwACgERXNQTmk1tuV+2vhcwUj741WZUPDn/bkpUBMUMAAoBEVz0EJrfctUfAlJXqVamqeoCOEIDgDAQgAEh0dg9Q5EnQWSlefVc9BHZkb0tWBsQMAQgAEl3IHKBIk6AzUzwqrR4CO8IcIDgDAQgAEl3VEJjPuCP3AKV69V31ENhheoDgDAQgAEh0VUNg/jp6gLJSPPrO7gFiDhCcgQAEAInOHgJzyxOhBygzxVszBHb8gOSvaMHigNggAAFAoguZBB3pVhhZqR4dUIYC1V8ZrAUEByAAAUCiC7kM3hvhOvisFK+MXNqv6rWAmAeEto8ABACJLuQqMG+EpaCzUrySpG9M+8oNh4pbrDQgVghAAJDoqofATB09QKkeSdJXwQ6VGw5+1WKlAbFCAAKAROc/Lkk6riR5It4KwyvLkvaY6gD0ZUtWB8QEAQgAEl1VACqXV54IPUBul6X2aUn62nSs3EAPEByAAAQAic5X0wMUaQ6QJHXMSArpASIAoe0jAAFAoqvuATJeeSNcBi9JHTOStYceIDgIAQgAEp2/XFLlEFjdPUDJ+rq6B+hQsX3lGNBWEYAAINH5j0mSypUUcQ6QVBmAvlO2ApZHMkGpbE9LVghEHQEIABJdY3qAMpNk5FKpN79yw77tLVUdEBMEIABIdL6qHiCTFHEdIEnqlJkiSdrlKqjc8O22FikNiBUCEAAkuqoeoOPyRrwZqiQVtE+VJG31d67c8N1nLVIaECsEIABIdPY6QHVfBt+lQ5okaePxTpUbviUAoW0jAAFAomtgIURJys1MUZLbpc8Cp1Zu2LtFMqalKgSijgAEAImu/LAk6bBJUYrHHXEXl8vSaTmp2mYKFHAnS8f2S6VMhEbbRQACgERXfkiSdEhpSk2KHIAk6YxTMuSTR99mnlu5Yff7LVEdEBMEIABIZMGAVFEZgA6bVKV66w5AvTpnS5I2u8+u3EAAQhtGAAKARFZx2P7jYaXW2wPU69QsSdKy41UBaNsSKeCPaXlArBCAACCRHS+TJJUbj/yuZCXVMQlaks6t6gFatK+rTGoH6WiptHN1i5QJRBsBCAASWdX8n8OqHP6yrLoDUG5Wsk5tlyqfcevrU4dWbvzoP1uiSiDqCEAAkMiOH5AklZn6J0BLkmVZGnzWKZKkhZ4Rkizps8XS3k9jXCQQfQQgAEhkVTc13av2Sm8gAEnS4DMrF0L87+3JCpx5rSQjLf4VawKhzSEAAUAiO1QsSSoxOeqQkdzg7pf3OEW5Wcn69lC5/tT+F5InVdr5rvT2I4QgtCltLgDNnTtXhYWFSklJUd++ffXuu+/GuyQAaLuqeoBKTHt1zEhqcPckj0v3XNlDkvTQysP6nw7jK5947wnpj9dJxZ/ErFQgmtpUAPrTn/6kiRMn6uGHH9aGDRt0+eWXa9iwYdq9e3e8SwOAtqlkkySpyOSrYyN6gCTptku66O4rusmypCm7LtQU352qsJKkolXSc5dLr90hFf8jllUDzeaJdwFNMXv2bN1xxx268847JUlPPvmkli5dqnnz5mnGjBlxrg4A2piAX/r6Y0nSx8EeujU3s1EvsyxLU4afrRHnddZTb3+u/9lypf5+/Fzd7/mzrnOvkf75mvTP13Qo+0wdyzlbwbSOCqZ2lEnLkZXWQUptL5OcJcuTIstlyXK51CkjRS6XJdlXoVlScqaUlhOjN49E12YCUEVFhdavX68HH3wwbPvQoUO1Zs2aWvuXl5ervLzcfnzw4EFJ0r59+2JbaALw+Xw6evSoSktL5fV6411Om0ZbRgfteJKOHZSr69Xatnm9th1vr8JMo9LS0ka3ZX6KNOPaQo3u21H/+fd03bv153rGukr/4lmqIa51Sir/VCmNvELscIRtwV4/VeCamSfxxloHzsvoqP7eNlGeY9ZmAtB3332nQCCg3NzcsO25ubkqKSmptf+MGTP0yCOP1Nres2fPmNUIAG3XTRr4ZPOP8qWk5c0/TJUXq34AqbS0VNnZ2VE7XpsJQNVOXKTLGBNx4a4pU6Zo0qRJ9uMDBw6oa9eu2r17d1QbMBGVlZWpoKBAX375pbKysuJdTptGW0YH7Rg9tGX00JbRcfDgQXXp0kU5OdEdDm0zAahjx45yu921env27t1bq1dIkpKTk5WcXHtCX3Z2NidilGRlZdGWUUJbRgftGD20ZfTQltHhckX3uq02cxVYUlKS+vbtq+XLwztXly9frv79+8epKgAA0Ba1mR4gSZo0aZJGjhypiy66SP369dPzzz+v3bt3a8yYMfEuDQAAtCFtKgD97Gc/U2lpqX7/+9+ruLhYvXr10uLFi9W1a9cGX5ucnKzf/e53EYfF0DS0ZfTQltFBO0YPbRk9tGV0xKodLRPt68oAAABauTYzBwgAACBaCEAAACDhEIAAAEDCIQABAICE49gAtHPnTt1xxx0qLCxUamqqzjjjDP3ud79TRUVFva8zxmjq1Knq3LmzUlNTNWjQIG3evLmFqm69Hn30UfXv319paWlq165do14zevRoWZYV9nPppZfGttBW7mTakXMysv3792vkyJHKzs5Wdna2Ro4cqQMHDtT7Gs7JSnPnzlVhYaFSUlLUt29fvfvuu/Xuv2rVKvXt21cpKSnq1q2bnn322RaqtHVrSjuuXLmy1rlnWZY+/bRx90pzstWrV2vEiBHq3LmzLMvSG2+80eBronFOOjYAffrppwoGg3ruuee0efNmPfHEE3r22Wf10EMP1fu6WbNmafbs2ZozZ47Wrl2rvLw8DRkyRIcOHWqhyluniooK/eQnP9HYsWOb9LprrrlGxcXF9s/ixYtjVGHbcDLtyDkZ2S233KKNGzdqyZIlWrJkiTZu3KiRI0c2+LpEPyf/9Kc/aeLEiXr44Ye1YcMGXX755Ro2bJh2794dcf+ioiINHz5cl19+uTZs2KCHHnpIEyZM0MKFC1u48talqe1Y7bPPPgs7/3r06NFCFbdeR44c0Xnnnac5c+Y0av+onZMmgcyaNcsUFhbW+XwwGDR5eXnmscces7cdP37cZGdnm2effbYlSmz15s+fb7Kzsxu176hRo8x1110X03raqsa2I+dkZFu2bDGSzAcffGBve//9940k8+mnn9b5Os5JYy6++GIzZsyYsG1nnXWWefDBByPuP3nyZHPWWWeFbbv77rvNpZdeGrMa24KmtuOKFSuMJLN///4WqK7tkmRef/31eveJ1jnp2B6gSA4ePFjvzdSKiopUUlKioUOH2tuSk5M1cOBArVmzpiVKdJyVK1eqU6dO6tmzp+666y7t3bs33iW1KZyTkb3//vvKzs7WJZdcYm+79NJLlZ2d3WC7JPI5WVFRofXr14edT5I0dOjQOtvt/fffr7X/1VdfrXXr1snn88Ws1tbsZNqx2gUXXKD8/HxdddVVWrFiRSzLdKxonZMJE4C2b9+up59+ut7bZlTfaPXEm6vm5ubWugkrGjZs2DC9/PLLeuedd/T4449r7dq1uvLKK1VeXh7v0toMzsnISkpK1KlTp1rbO3XqVG+7JPo5+d133ykQCDTpfCopKYm4v9/v13fffRezWluzk2nH/Px8Pf/881q4cKEWLVqkM888U1dddZVWr17dEiU7SrTOyTYXgKZOnRpxIlnoz7p168Jes2fPHl1zzTX6yU9+ojvvvLPB32FZVthjY0ytbU5wMm3ZFD/72c907bXXqlevXhoxYoT+9re/adu2bXrrrbei+C7iL9btKHFORmrLSO+/oXZJlHOyIU09nyLtH2l7omlKO5555pm66667dOGFF6pfv36aO3eurr32Wv37v/97S5TqONE4J9vUvcAk6Z577tFNN91U7z6nn366/ec9e/Zo8ODB9s1T65OXlyepMl3m5+fb2/fu3VsrbTpBU9uyufLz89W1a1d9/vnnUTtmaxDLduScrO3000/XJ598om+++abWc99++22T2sWp52RdOnbsKLfbXauXor7zKS8vL+L+Ho9HHTp0iFmtrdnJtGMkl156qf77v/872uU5XrTOyTYXgDp27KiOHTs2at+vv/5agwcPVt++fTV//ny5XPV3eBUWFiovL0/Lly/XBRdcIKlyrHfVqlWaOXNms2tvbZrSltFQWlqqL7/8MuyL3Ali2Y6ck5H169dPBw8e1EcffaSLL75YkvThhx/q4MGD6t+/f6N/n1PPybokJSWpb9++Wr58uX70ox/Z25cvX67rrrsu4mv69eunv/71r2Hbli1bposuukherzem9bZWJ9OOkWzYsCFhzr1oito52aQp023I119/bbp3726uvPJK89VXX5ni4mL7J9SZZ55pFi1aZD9+7LHHTHZ2tlm0aJHZtGmTufnmm01+fr4pKytr6bfQquzatcts2LDBPPLIIyYjI8Ns2LDBbNiwwRw6dMjeJ7QtDx06ZO6//36zZs0aU1RUZFasWGH69etnTj311IRuy6a2ozGck3W55pprTJ8+fcz7779v3n//fdO7d2/zgx/8IGwfzsnaXn31VeP1es2LL75otmzZYiZOnGjS09PNzp07jTHGPPjgg2bkyJH2/jt27DBpaWnmvvvuM1u2bDEvvvii8Xq95rXXXovXW2gVmtqOTzzxhHn99dfNtm3bzD//+U/z4IMPGklm4cKF8XoLrcahQ4fs/xdKMrNnzzYbNmwwu3btMsbE7px0bACaP3++kRTxJ5QkM3/+fPtxMBg0v/vd70xeXp5JTk42V1xxhdm0aVMLV9/6jBo1KmJbrlixwt4ntC2PHj1qhg4dak455RTj9XpNly5dzKhRo8zu3bvj8wZaiaa2ozGck3UpLS01t956q8nMzDSZmZnm1ltvrXWJMedkZM8884zp2rWrSUpKMhdeeKFZtWqV/dyoUaPMwIEDw/ZfuXKlueCCC0xSUpI5/fTTzbx581q44tapKe04c+ZMc8YZZ5iUlBTTvn17c9lll5m33norDlW3PtVLBJz4M2rUKGNM7M5Jy5iqmUMAAAAJos1dBQYAANBcBCAAAJBwCEAAACDhEIAAAEDCIQABAICEQwACAAAJhwAEAAASDgEIAAAkHAIQAABIOAQgAACQcAhAiKtBgwZp4sSJreY4rY0xRr/4xS+Uk5Mjy7K0cePGuNXi1DZuSLzed0v+3XD6Zzto0CBZltWsv0OjR4+2j/HGG29EtT7EBwEIMTd69Ghdf/31EZ9btGiRpk2b1uzfEXqceIeqaH6ZLFmyRAsWLND/+3//T8XFxerVq1dUjtuQSO8hWp9VUy1evNj+4on089Of/jRqv8vpQaClrV+/XjfddJM6d+6slJQUnXHGGfr5z3+ubdu2he03evRoPfjggyf12sa66667mvV36D/+4z9UXFx8Uq9F60QAQlzl5OQoMzOz1Ryntdm+fbvy8/PVv39/5eXlyePxxK2WeLXx4MGDVVxcHPbz1VdfaciQIerYsaN+85vftHhNDamoqIh3CXH3n//5n7rkkkuUnZ2tRYsW6bPPPtMLL7ygffv26cUXX7T3CwaDeuutt3Tdddc1+bVNkZaW1qy/Q9nZ2crLyzup16KVau5t7IGGjBo1ylx33XURnxs4cKD55S9/Gfb4nnvuMb/85S9Nu3btTKdOncxzzz1nDh8+bEaPHm0yMjJMt27dzOLFiyMeZ9SoUUZS2E9RUVGdtf35z382vXr1MikpKSYnJ8dcddVV5vDhw/Ue529/+5sZMGCAyc7ONjk5Oebaa681X3zxhf1e63pdMBg0M2fONIWFhSYlJcX06dPH/PnPf6633UKP07VrV9O1a1fzxBNPhO133nnnmd/97ndhbXHvvfeaX//616Z9+/YmNzc37HljjAkEAuaxxx4zZ5xxhklKSjIFBQXmX//1X+t9Dyd+VsePHzf33nuvOeWUU0xycrIZMGCA+eijj5pUx8nw+/3mpptuMh07djSffPJJs49Xrb733dD7GDhwoBk/fry57777TIcOHcwVV1xhjGn4M6/r/Ks+ZkO/t6HPoPo4oZ/b4cOHzciRI016errJy8sz//7v/15rn+Z69913jcvlMnPnzo34fGlpqf3n1atXm06dOplAINDk1zZWNN+fJPP6669H5ViILwIQYq6pASgzM9NMmzbNbNu2zUybNs24XC4zbNgw8/zzz5tt27aZsWPHmg4dOpgjR47UOs6BAwdMv379zF133WWKi4tNcXGx8fv9EX/3nj17jMfjMbNnzzZFRUXmk08+Mc8884w5dOhQvcd57bXXzMKFC822bdvMhg0bzIgRI0zv3r1NIBCo93UPPfSQOeuss8ySJUvM9u3bzfz5801ycrJZuXJlxPoOHDhgfv/735vTTjvNFBcXm7179zY6AGVlZZmpU6eabdu2mZdeeslYlmWWLVtm7zN58mTTvn17s2DBAvPFF1+Yd99917zwwgv27430Hk78rCZMmGA6d+5sFi9ebDZv3mxGjRpl2rdvb39BNaaOpqoOPx06dDD/+Mc/Iu7z6KOPmvT09Hp/Vq9eXet19b3vht7HwIEDTUZGhvn1r39tPv30U7N161ZjTP2feX3nX2Pbr6HPoPo4oZ/b2LFjzWmnnWaWLVtmPvnkE/ODH/zAZGRkRDUAfe973zODBw9u1L6/+tWvzB133HFSr20sAhAiIQAh5poagC677DL7sd/vN+np6WbkyJH2tuLiYiPJvP/++xGP09j/2a1fv95IMjt37mxUbXXZu3evkWQ2bdpU5+sOHz5sUlJSzJo1a8K233HHHebmm2+u89hPPPGE6dq1q/24sQEotA2NqfxSeeCBB4wxxpSVlZnk5GQ78EQS6T2Ebjt8+LDxer3m5Zdftp+vqKgwnTt3NrNmzWpUHU3l9/vNzTffbDp06GA2btxY536lpaXm888/r/fn6NGjEV9b1/tu6H0MHDjQnH/++WH7NPSZN+b8q+/3NuYzOPE9HTp0yCQlJZlXX33Vfr60tNSkpqZGLSBs2bLFSDKvvfZao/bv2bOnefPNN5v82r/+9a+mZ8+epnv37vWey8YQgBAZc4DQ6vTp08f+s9vtVocOHdS7d297W25uriRp7969jT7myy+/rIyMDPvn3Xff1XnnnaerrrpKvXv31k9+8hO98MIL2r9/f4PH2r59u2655RZ169ZNWVlZKiwslCTt3r27ztds2bJFx48f15AhQ8Lq+OMf/6jt27c3+n00VmgbSlJ+fr7dXlu3blV5ebmuuuqqkz7+9u3b5fP5NGDAAHub1+vVxRdfrK1btzaqjqYIBAIaOXKkli1bprffflvnnXdenfvm5OSoe/fu9f6kpqY26fc35n1cdNFFYY8b+swbc/7V93sb+xmE2r59uyoqKtSvXz97W05Ojs4888yI+0+dOrXeCeiWZWndunVhr/n4448lSX379o14zFBbt27VV199pe9///tNeq3f79ekSZP0zjvv6OOPP9bMmTO1b9++Bn9fc98bnCV+MyqBOni93rDHlmWFbbMsS1Ll5MnG+uEPf6hLLrnEfnzqqafK7XZr+fLlWrNmjZYtW6ann35aDz/8sD788EM71EQyYsQIFRQU6IUXXlDnzp0VDAbVq1eveie+Vtf61ltv6dRTTw17Ljk5udHvw+VyyRgTts3n89XaL1IbVtfQ1C//SKprqP4sQreHbquvjsaqDj9Lly5tMPxI0vTp0zV9+vR69/nb3/6myy+/vNE1NOZ9pKenhz1u6DNvzPlX3+9t7Gdw4nNNcc899+imm26qd5/TTz897PHRo0clSRkZGQ0e/80339SQIUPsc7Kxr/3oo4907rnn2u06fPhwLV26VDfffHODv7Paybw3OAsBCI6TlJSkQCAQti0zMzPiFUyWZWnAgAEaMGCAfvvb36pr1656/fXXNWnSpIjHKS0t1datW/Xcc8/ZX6Dvvfdeg7//nHPOUXJysnbv3q2BAwee9Hs75ZRTwi7FLSsrU1FRUZOO0aNHD6Wmpurtt9/WnXfeGXGfSO8hVPfu3ZWUlKT33ntPt9xyi6TKILZu3bqoXkYeCAR0++23a+nSpfq///s/nX/++Q2+ZsyYMQ1eGn9iIKnW0PtuisZ85vWdfw05mc+ge/fu8nq9+uCDD9SlSxdJ0v79+7Vt27aINXbs2FEdO3Zs5DuuVH2Z+bvvvqsf/ehHtZ4/duyYHXj+8pe/hJ2DjX3tnj17wj7D0047TV9//XWT6jyZ9wZnIQChRRw8eLDWAmQ5OTkx+V2nn366PvzwQ+3cuVMZGRnKycmRy1V7tPfDDz/U22+/raFDh6pTp0768MMP9e233+rss8+u8zjt27dXhw4d9Pzzzys/P1+7d++utX5JpNdlZmbqV7/6le677z4Fg0FddtllKisr05o1a5SRkaFRo0Y16r1deeWVWrBggUaMGKH27dvrN7/5jdxud5PaJyUlRQ888IAmT56spKQkDRgwQN9++602b96sO+64o873ECo9PV1jx47Vr3/9a+Xk5KhLly6aNWuWjh49ah+juYLBoG6//Xa98cYbeu2115Sfn6+SkpKwfU455ZRa7z8nJ+ekz62G3ndTNPSZn3XWWfWefw05mc8gIyNDd9xxh37961+rQ4cOys3N1cMPPxzx78fJ6tevn4YOHapx48bp8OHD6tevn4LBoNauXatnn31W8+bNU69evbR3716tXbs2bFHBxr42Uk9WXb1eQF0IQGgRK1eu1AUXXBC2rbFf+k31q1/9SqNGjdI555yjY8eOqaioKGJXdlZWllavXq0nn3xSZWVl6tq1qx5//HENGzas3uO8+uqrmjBhgnr16qUzzzxTTz31lAYNGtTg7582bZo6deqkGTNmaMeOHWrXrp0uvPBCPfTQQ41+b1OmTNGOHTv0gx/8QNnZ2Zo2bVqTe4Ak6Te/+Y08Ho9++9vfas+ePcrPz9eYMWPqfQ8neuyxxxQMBjVy5EgdOnRIF110kZYuXar27ds3uo4FCxboX/7lXyJ+oa1du1avvPKKpMohjkj279+vdu3aNfr3NaQx77sp6vvMGzr/GuNkPoN/+7d/0+HDh/XDH/5QmZmZuv/++3Xw4MFmvc8Tvfnmm3riiSc0a9Ys7dixQ8nJyerevbtGjBihc845R5L017/+VZdccok6derU5NeeeuqpYT0+X331VdgQN9AYlmnqoDAARMnUqVO1cuVKrVy5Mt6loIX98Ic/1GWXXabJkyc3+bV+v19nn322Vq5cqaysLF144YX64IMP1KFDh4j7Dxo0SOeff76efPLJZlZd2dP0+uuv17m6PdoOrgIDEDdLly7VrFmz4l0G4uCyyy5r0qTlUB6PR48//rgGDx6sCy64wB7Sq8/cuXOVkZGhTZs2ndTvHDNmTKMmdqPtoAcIAOBoX3/9tY4dOyZJ6tKli5KSkpp8jL1796qsrExS5XIEJ171h7aHAAQAABIOQ2AAACDhEIAAAEDCIQABAICEQwACAAAJhwAEAAASDgEIAAAkHAIQAABIOAQgAACQcAhAAAAg4fx/f+Pcc7P2XJ8AAAAASUVORK5CYII=", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "C_C0_cases = []\n", + "Z_cases = []\n", + "C_C0_cases.append(sample_C_C0)\n", + "Z_cases.append(sample_Z)\n", + "\n", + "a_2 = RandomVariableDistribution()\n", + "a_2.define_distribution(mean=10, stddev=4, dist_type='N')\n", + "C_C0_cases.append(C_C0(sample_q, sample_n, a_2.get_sample(N), x, t))\n", + "Z_cases.append(flip_LSF*limit_state_fun(sample_q,\n", + " sample_n,\n", + " a_2.get_sample(N),\n", + " x, t, threshold))\n", + "\n", + "a_rv.print_status()\n", + "a_2.print_status()\n", + "\n", + "pdf_of_function_of_RV(C_C0_cases)\n", + "pdf_of_function_of_RV(Z_cases, case_C=False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "695f1336-8d3e-4503-9196-9969d181ae10", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "8c197ae8-3a6c-45fe-b304-75f601dbb9ac", + "metadata": {}, + "source": [ + "This is the density of the function of random variables, $C/C_0$, two values of $\\sigma_a$, and a third with the uniform distribution (not using the `RandomVariableDistribution` class)." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "53273645-453b-48b9-85c0-e69eb1ac579e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Joint density of 2 RVs with failure realizations\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 600x600 with 3 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "values_of_RV_1 = sample_q\n", + "values_of_RV_2 = sample_a\n", + "\n", + "g = sns.JointGrid()\n", + "sns.kdeplot(x=values_of_RV_1,\n", + " y=values_of_RV_2, ax=g.ax_joint, bw_adjust=3)\n", + "sns.scatterplot(x=values_of_RV_1[sample_Z<0],\n", + " y=values_of_RV_2[sample_Z<0], ax=g.ax_joint)\n", + "g.ax_joint.set_xlabel('Random Variable 1 (chosen by you)')\n", + "g.ax_joint.set_ylabel('Random Variable 2 (chosen by you)')\n", + "print('Joint density of 2 RVs with failure realizations')" + ] + }, + { + "cell_type": "markdown", + "id": "75f127f7-c40b-425d-91cf-6c6ecad207a2", + "metadata": {}, + "source": [ + "## Case 2: exceeding the health threshold\n", + "\n", + "Now we return to the failure definition of exceeding the threshold (`flip_LSF` = 1)." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "3ee884a7-16fb-46bf-9766-9899e662a9bc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MONTE CARLO RESULTS\n", + "--------------------------------------------------\n", + " N = 100000, number of samples\n", + " Nf = 65, number of failed realizations\n", + " pf = 6.500e-04, estimated failure probability\n", + " V = 0.124, c.o.v. of estimated pf\n", + "\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "N = 100000\n", + "\n", + "t = 30\n", + "x = 500\n", + "threshold = 1e-4\n", + "\n", + "flip_LSF = 1\n", + "\n", + "sample_q = q_rv.get_sample(N)\n", + "sample_n = n_rv.get_sample(N)\n", + "sample_a = a_rv.get_sample(N)\n", + "\n", + "sample_C_C0 = C_C0(sample_q, sample_n, sample_a, x, t)\n", + "sample_Z = flip_LSF*limit_state_fun(sample_q,\n", + " sample_n,\n", + " sample_a,\n", + " x, t, threshold)\n", + "\n", + "monte_carlo(sample_Z);" + ] + }, + { + "cell_type": "markdown", + "id": "d1d693c6-df03-442f-a100-a065355b2c12", + "metadata": {}, + "source": [ + "NB: *the joint density and failure point plot is commented out here to prevent slowing down the kernel. When N=100000 (1e5) or higher, it will take around a minute to run.*" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "19a0f38a-f4e2-4dc0-8ade-0094f2a3cc91", + "metadata": {}, + "outputs": [], + "source": [ + "# values_of_RV_1 = sample_q\n", + "# values_of_RV_2 = sample_a\n", + "\n", + "# g = sns.JointGrid()\n", + "# sns.kdeplot(x=values_of_RV_1,\n", + "# y=values_of_RV_2, ax=g.ax_joint, bw_adjust=3)\n", + "# sns.scatterplot(x=values_of_RV_1[sample_Z<0],\n", + "# y=values_of_RV_2[sample_Z<0], ax=g.ax_joint)\n", + "# g.ax_joint.set_xlabel('Random Variable 1 (chosen by you)')\n", + "# g.ax_joint.set_ylabel('Random Variable 2 (chosen by you)')\n", + "# print('Joint density of 2 RVs with failure realizations')" + ] + }, + { + "cell_type": "markdown", + "id": "3e7d0cc4", + "metadata": {}, + "source": [ + "### Gradient Vector\n", + "\n", + "Partial derivatives will be useful for evaluating the functional influence of the variables on the limit states. The gradient vector is defined as:\n", + "\n", + "$\\nabla_{\\mathbf{y}} G(\\mathbf{y})=\\left(\\frac{\\partial G(\\mathbf{y})}{\\partial \\mathbf{y}_1}, \\cdots, \\frac{\\partial G(\\mathbf{y})}{\\partial \\mathbf{y}_n}\\right) $\n", + "\n", + "To find the gradient vector we need to find the partial derivatives of $\\frac{C}{C_0}$\n", + "\n", + "$\\frac{C}{C_0} = \\frac{1}{2} \\mathrm{erfc}\\left(\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)=\\frac{1}{2} \\left(1-\\mathrm{erf}\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "Using $\\frac{\\partial}{\\partial x} (\\mathrm{erf} x) = \\frac{2}{\\sqrt{\\pi}}e^{-x^2} $ and $\\Omega = \\frac{1}{\\sqrt{\\pi}}e^{-\\left(\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)^2} $, the derivatives are:\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial x} = \\Omega\\left(-\\frac{1}{2\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial t} =\\Omega\\left(\\frac{x}{4\\sqrt{a(q/n)t^3}}+\\frac{q}{4n\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial q} = \\Omega\\left(\\frac{x}{4\\sqrt{a(1/n)tq^3}}+\\frac{t}{4n\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial n} = \\Omega\\left(-\\frac{x}{4\\sqrt{aqtn}}-\\frac{qt}{4\\sqrt{qatn^3}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial a} = \\Omega\\left(\\frac{x-q/nt}{4\\sqrt{(q/n)ta^3}}\\right)$" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "a761d424", + "metadata": {}, + "outputs": [], + "source": [ + "def gradient(q, n, a, x, t):\n", + " Om = 1/np.sqrt(np.pi)*np.exp(-((x - q/n*t)/(2*np.sqrt(a*q/n*t)))**2)\n", + " dx = Om*(-1/(2*np.sqrt(a*q/n*t)))\n", + " dt = Om*(x/(4*np.sqrt(a*q/n*t**3)) + (q)/(4*n*np.sqrt(a*q/n*t)))\n", + " dq = Om*(x/(4*np.sqrt(a*q**3/n*t)) + (t)/(4*n*np.sqrt(a*q/n*t)))\n", + " dn = Om*(-x/(4*np.sqrt(a*q*n*t)) - (q*t)/(4*np.sqrt(a*q*n**3*t)))\n", + " da = Om*((x - q/n*t)/(4*np.sqrt(a**3 *q/n*t)))\n", + " return np.array([dq,dn,da,dx,dt])" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "d6492f20", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 2.84464056e-01 -3.55580070e+00 1.01594306e-02 -1.62550889e-03\n", + " 2.37053380e-02]\n" + ] + } + ], + "source": [ + "print(gradient(2.5, 0.2, 10, x, t))" + ] + }, + { + "cell_type": "markdown", + "id": "18ae1605-4c60-4c65-be4f-ce9cef2e40fd", + "metadata": {}, + "source": [ + "## Your turn!\n", + "\n", + "Now try and use the code to answer the questions posed at the beginning of the notebook, which are repeated here:\n", + "1. Which random variables have the biggest influence on reliability?\n", + "2. How does the assumption of probability distribution influence reliability?\n", + "3. Do the random variables act as loads or resistances?\n", + "\n", + "In particular, to evaluate sensitivity, you can consider two quantitative aspects:\n", + "1. What is the functional influence of the random variables and x and t on the limit-state function?\n", + "2. What is the stochastic influence of the random variables, \n", + "3. What is the combined influence of the two aspects above?\n", + "\n", + "<!-- \n", + "Hint: note the striking similarity of these terms to the material you have already seen in the variance propagation part of MUDE, where the variance of a function of random variables is proportional to $\\sigma_x\\cdot \\frac{\\partial Z}{\\partial x}$. The variable with the biggest influence on reliability will have the highest value of this term. Also, the sign of the partial derivative will indicate whether a variable acts as a load or resistance. -->" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13 (main, Aug 25 2022, 23:51:50) [MSC v.1916 64 bit (AMD64)]" + }, + "vscode": { + "interpreter": { + "hash": "85471ad55176ca86192ed6be6d105faaef73891404cad6bd910e89e8513744d9" + } + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/book/notebooks/contamination/exercise_contamination.zip b/book/notebooks/contamination/exercise_contamination.zip new file mode 100644 index 0000000..105f3ac Binary files /dev/null and b/book/notebooks/contamination/exercise_contamination.zip differ diff --git a/book/notebooks/contamination/exercise_setup.py b/book/notebooks/contamination/exercise_setup.py new file mode 100644 index 0000000..51a9470 --- /dev/null +++ b/book/notebooks/contamination/exercise_setup.py @@ -0,0 +1,247 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.special import erfc +from scipy import stats +import seaborn as sns + +def process_negative_values(q, n, a): + """Prevents problems with negative values in sqrt of C_C0 function.""" + N_q = sum(q<0) + N_n = sum(n<0) + N_a = sum(a<0) + set_value = 0.001 + if N_q > 0: + for i in range(len(q)): + if q[i]<0: + q[i] = set_value + print(f'q has {N_q} negative values that have been set to {set_value:.1e}.') + if N_n > 0: + for i in range(len(n)): + if n[i]<0: + n[i] = set_value + print(f'n has {N_n} negative values that have been set to {set_value:.1e}.') + if N_a > 0: + for i in range(len(a)): + if a[i]<0: + a[i] = set_value + print(f'a has {N_a} negative values that have been set to {set_value:.1e}.') + return q, n, a + +class RandomVariableDistribution(): + """Define a N or LN probability to use in MUDE week 2.7 exercise. + + Usage: + ----- + Create an instance of the class + by default, the random variable is ~N(0,1) + Specify distribution using 1st and 2nd moments for N or LN: + --> use method define_distribution to change it! + (the method prints a summary of the change) + for example, copy/paste the following: + test = RandomVariableDistribution() + test.print_status() + test.define_distribution(mean=5, stddev=1, dist_type='LN') + An instance will include the following attributes: + - distribution moment and (scipy) parameters shape, location, scale + - dist_object: distribution object (scipy.stats) + - get_sample: method for getting random samples from the distribution + - plot_pdf_or_cdf: + """ + + def __init__(self): + self.mean = 0. + self.stddev = 1. + self.dist_type = 'N' + + def print_status(self): + """Returns current parameter values and distribution type.""" + print(f'The mean is {self.mean:.3e}') + print(f'The standard deviation is {self.stddev:.3e}') + if self.dist_type == 'N': + distribution_name = 'Normal' + elif self.dist_type == 'LN': + distribution_name = 'Lognormal' + print('The distribution is ' + distribution_name) + + def define_distribution(self, + mean=None, + stddev=None, + dist_type=None, + print_new_dist=False): + """Compute distribution parameters and RV object from moments. + + Usage: + ----- + Optional arguments will override current dist: + --> default distribution is standard normal, ~N(0,1) + mean: float + stddev: float + dist_type: 'N' or 'LN' + print_new_dist=True to print distribution changes. + """ + if mean is None: + mean = self.mean + if stddev is None: + stddev = self.stddev + if dist_type is None: + dist_type = self.dist_type + if dist_type == 'N': + shape = None + location = mean + scale = stddev + dist_object = stats.norm(loc=location, scale=scale) + elif dist_type == 'LN': + """ + Finds distribution parameters of LN-distributed X, + which are equivalent to the mean and standard deviation + of the log of X: Y = ln(X), then converts to the + parameterization used by scipy.stats.lognorm. + """ + stddev_y = np.sqrt(np.log(1 + (stddev/mean)**2)) + mean_y = np.log(mean) - 0.5*stddev_y**2 + + shape = stddev_y + location = 0 + scale = np.exp(mean_y) + dist_object = stats.lognorm(s=shape, + loc=location, + scale=scale) + else: + raise ValueError("You can only use N or LN for self.dist_type.") + self.mean = mean + self.stddev = stddev + self.dist_type = dist_type + self.shape = shape + self.location = location + self.scale = scale + self.dist_object = dist_object + self.get_sample = lambda size : self.dist_object.rvs(size=size) + if print_new_dist: + self.print_status() + + def plot_pdf_or_cdf(self, plot_type='pdf', plot_limits=None): + """Plots the pdf or cdf (specify choice with plot_type). + + Usage: + ----- + No inputs required, but there are optional inputs: + plot_type='cdf' to plot cdf (pdf is default value) + plot_limits: list with 2 values for x-axis + """ + if plot_limits is None: + if self.dist_type == 'N': + plot_limits = [self.mean - 3*self.stddev, + self.mean + 3*self.stddev] + elif self.dist_type == 'LN': + 'Avoid negative or zero value for lognormal dist.' + lower_value = self.mean - 3*self.stddev + if lower_value <= 0: + lower_value = 0.01 + plot_limits = [lower_value, + self.mean + 4*self.stddev] + else: + raise ValueError("You can only use N or LN for self.dist_type.") + + plot_x = np.linspace(plot_limits[0], plot_limits[1], 1000) + if plot_type == 'pdf': + plot_y = self.dist_object.pdf(plot_x) + y_label = 'PDF [-]' + elif plot_type == 'cdf': + plot_y = self.dist_object.cdf(plot_x) + y_label = 'CDF [-]' + else: + raise ValueError("You must specify pdf or cdf for plot_type.") + fontsize = 15 + plt.figure() + plt.plot(plot_x, plot_y, 'k-', linewidth=3) + plt.xlabel('Random Variable, X', fontsize=fontsize) + plt.ylabel(y_label, fontsize=fontsize) + plt.show() + +def pdf_of_function_of_RV(cases, case_C=True, case_name=None, plot_limits=None): + """Plot the PDF of a sampled function of random variables (C_C0 or Z). + + Usage: + ----- + cases: a list of arrays + case_C=True (default) assumes C_C0 is given. False is for Z. + case_name: list of strings with the labels for each array. + e.g., ['Original', 'High sigma_a', 'Low sigma_a'] + (default will return Case i for all arrays) + plot_limits: list of two values that override default limits + for x-axis. + """ + bw_adjust = 3 # adjusts smoothness of Seaborn kernel density contours + labels = [] + + plt.figure() + + for i in range(len(cases)): + if case_name == None: + labels.append(f'Case {i+1}') + else: + labels.append(case_name[i]) + sns.kdeplot(cases[i], label=labels[i], ax=plt.gca(), bw_adjust=bw_adjust) + plt.legend() + if case_C: + plt.xlabel('Concentration ratio, $C/C_0$ [$-$]') + if plot_limits == None: + plt.xlim(0,1) + else: + plt.xlim(plot_limits) + else: + plt.xlabel('Limit-state function, $Z=\mathrm{threshold}-C/C_0$ [$-$]') + if plot_limits == None: + plt.xlim(-2,1) + else: + plt.xlim(plot_limits) + plt.ylabel('PDF [$]$') + plt.grid() + plt.show() + +def monte_carlo(Z): + """Monte Carlo analysis for sampled function of random variables. + + Returns a summary of the analysis and a plot of pf and c.o.v.. + The only input is an array of the sampled limit state-function. + Assumes that failure is when the limit-state function Z<0. + """ + N = len(Z) + Nf = np.sum(Z<0) + + if Nf == 0: + raise ValueError('No failure realizations in the sample!') + elif Nf == N: + raise ValueError('All realizations in the sample failed!') + + pf = Nf/N + + N_f_c = np.cumsum(Z<0) + N_i = np.arange(1,len(N_f_c)+1,1) + p_f_c = N_f_c / N_i + with np.errstate(divide='ignore'): + V = 1/(np.sqrt(N_i*p_f_c)) + + print(f'MONTE CARLO RESULTS\n' + f'--------------------------------------------------\n' + f' N = {N}, number of samples\n' + f' Nf = {Nf}, number of failed realizations\n' + f' pf = {pf:.3e}, estimated failure probability\n' + f' V = {V[-1]:.3f}, c.o.v. of estimated pf\n') + + plt.loglog(N_i,p_f_c) + plt.xlim(10,N) + plt.ylim(10**(np.floor(np.log10(pf)) - 1),1) + plt.grid() + plt.xlabel('Realization No.') + plt.ylabel('Estimated failure probability, $\hat{p}_f$') + plt.show() + + plt.plot(N_i,V) + plt.xscale('log') + plt.grid() + plt.xlabel('time step') + plt.ylabel('c.o.v.') + plt.show() + + return Nf,pf \ No newline at end of file diff --git a/book/notebooks/contamination/figures/sketch.png b/book/notebooks/contamination/figures/sketch.png new file mode 100644 index 0000000..d2fd2b4 Binary files /dev/null and b/book/notebooks/contamination/figures/sketch.png differ diff --git a/book/notebooks/flood-risk/Exercise_Flood_Risk_Render.ipynb b/book/notebooks/flood-risk/Exercise_Flood_Risk_Render.ipynb new file mode 100644 index 0000000..09ce9bd --- /dev/null +++ b/book/notebooks/flood-risk/Exercise_Flood_Risk_Render.ipynb @@ -0,0 +1,792 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e228e52d", + "metadata": {}, + "source": [ + "# Flood Risk\n", + "## Dike Ring 14" + ] + }, + { + "cell_type": "markdown", + "id": "6f028272-206c-4474-9083-43d7b52352f1", + "metadata": {}, + "source": [ + "````{note}\n", + "This page is generated from an `*.ipynb` file which requires several auxiliary files, all of which can be downloaded using the link below.\n", + "```{eval-rst}\n", + ":download:`Download zip file for this exercise.<exercise_flood_risk.zip>`\n", + "```\n", + "````" + ] + }, + { + "cell_type": "markdown", + "id": "6897cbb0-6e59-4ed3-a346-ae684e115bbc", + "metadata": {}, + "source": [ + "The overall objective of this assignment is to make a step from the simple FN/FD curves we have in the book to work on something 'real' and to make 'real' engineering decisions about how to modify a dike ring to meet safety standards. This exercise is based on a risk assessment of the Netherlands from around 10 years ago called VNK (veiligheid Nederland in kaart, or mapping Dutch (flood) safety. It was done in the runup to changing the safety standards in 2017. You can find more about the project [here](https://www.helpdeskwater.nl/onderwerpen/waterveiligheid/programma-projecten/veiligheid-nederland/publicaties/), and a report specifically about the case [here](https://www.helpdeskwater.nl/onderwerpen/waterveiligheid/programma-projecten/veiligheid-nederland/publicaties/dijkringrapporten/dijkringrapporten/fase-1a/14-zuid-holland/). The first website has some English reports, but unfortunately the Dike Ring 14 report is only in Dutch.\n", + "\n", + "*First the case is introduced, then some examples using the pre-prepared code are given to show you how to use it. Then you are asked to use the code to decide which repairs to specific dike segments should be done to see if you can meet the safety criteria!*\n", + "\n", + "*Our apologies in advance that the code does not meet the Golden Rules. Although it might not look pretty, we trust that it is clear enough to be able to learn about risk!*" + ] + }, + { + "cell_type": "markdown", + "id": "9b9e2b82-d018-4188-95ff-d75c290ec1d4", + "metadata": {}, + "source": [ + "## Overview of the case study\n", + "\n", + "The entire dike ring that protects South Holland is divided into 13 segments, which have been chosen such that the flooding that occurs after a breach is not dependent on the location of the breach itself. This results in significantly fewer flooding analyses that must be carried out. In addition, all possible breach locations within a single segment do not have to be considered. For South Holland, 7 segments are defined along the Nieuwe Waterweg (i.e., the river, behind the Maeslant Barrier) and 6 segments are defined along the coast.\n", + "\n", + "```{figure} ./figures/map-dike-segments.PNG\n", + "---\n", + "width: 500px\n", + "name: map_segments\n", + "---\n", + "```\n", + "All segments along the river are dikes and segments along the sea are dunes, with the following exceptions:\n", + "- Segment 3: Park Sluices in Rotterdam\n", + "- Segment 10: Scheveningen outlet sluice\n", + "- Segment 11: Scheveningen Bouldevard\n", + " \n", + "### How does a flood risk analysis work?\n", + " \n", + "We are essentially creating a probability mass function, where the random variable is fatalities or economic damage. Since we can't wait a few million years watch the dike ring fail to get a good estimate of the actual distribution, we try to simulate all possible combinations of floods. However, the actual flooding process is complicated: due to the river or sea conditions a dike or dune is broken (this is called a breach), water rushes into the protected area, depending on the flooding depth people may die and infrastructure is damaged. Sometimes we are able to warn and evacuate people, but there is a chance these systems do not work. Reality is extremely complex, so we simplify the process in our flood modeling studies, using the following steps:\n", + "a. assume a levee or dune is breached\n", + "b. estimate the resulting flood depth in the (formerly) protected area\n", + "c. calculated economic damage and fatalities as a function of water depth\n", + "d. modify the above value depending on the status of warning and evacuation systems\n", + "e. repeat this for many breach locations\n", + " \n", + "As such, each scenario returns a finite number of fatalities or damage, which is why the distribution is discrete. Of course, we need to also quantify the probability of each scenario. Although it sounds complex, it is actually simple to represent using conditional probability if we can assume:\n", + "$$\\textrm{P}(x_i)=\\textrm{P}(x_i|D,W,E)\\cdot\\textrm{P}(D)\\cdot\\textrm{P}(W)\\cdot\\textrm{P}(E)$$\n", + "\n", + "where $x_i$ is our risk metric of choice (i.e., economic damage or fatalities) and $D$, $W$ and $E$ represnt water depth, warning and evacuation status, respectively. Given the scenario-based approach where a fixed value is determined for $x_i$, it is clear that this type of analysis creates a descrete random variable. Furthermore, the equation above indicates that single values of $D$, $W$ and $E$ are used, but in theory one could integrate over each of these variables.\n", + " \n", + "An example of the flood depth analysis is shown below for a breach in segment 12:\n", + "```{figure} ./figures/flood-depth-12.PNG\n", + "---\n", + "width: 500px\n", + "name: flood_depth_12\n", + "---\n", + "```" + ] + }, + { + "cell_type": "markdown", + "id": "14231f96-55e5-44f1-baea-1f8a0e7e0e46", + "metadata": {}, + "source": [ + "## Exercise Instructions\n", + "\n", + "An Excel file has been prepared that includes the results from the risk analysis. Each row is a scenario, with a `Scenario_ID` and associated probability of occurrence (`scenario_probability`). The column `failed_segments` lists which dike segments are assumed to have failed in the particular scenario. Consequences are specifies in the last 8 columns (described below).\n", + "\n", + "Your task is to determine which **dike segments** you should repair to improve the safety of Dike Ring 14. Unfortunately due to the available budget, **you can only afford to repair 3 segments.** Thus, your task is to identify 3 segments to repair and justify your decision for doing so (there are some cells below where you can type your answer). You are free to consider both life loss and economic damage in your evaluation.\n", + "\n", + "The next set of cells will get you started with the helper functions, then you are free to use them to work on the assignment. First, start by importing the required packages:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "5362403f", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd" + ] + }, + { + "cell_type": "markdown", + "id": "940f2cff-4c61-4cef-81fa-73b701f8b43a", + "metadata": {}, + "source": [ + "Import special functions created to help with this assignment:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "1a4624ba-f457-4bf6-8848-713e6aa5ccfe", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "from functions import find_scenarios_with_segment_i\n", + "from functions import assemble_analysis_cases\n", + "from functions import exceedance_prob\n", + "from functions import plot_curves\n", + "from functions import sensitivity_analysis\n", + "from functions import compute_benefit\n", + "from functions import set_TUDstyle" + ] + }, + { + "cell_type": "markdown", + "id": "79bc6385", + "metadata": {}, + "source": [ + "Load data and take a look at it:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "771b9c7f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>Scenario_ID</th>\n", + " <th>scenario_probability</th>\n", + " <th>failed_segments</th>\n", + " <th>case_1_d</th>\n", + " <th>case_1_n</th>\n", + " <th>case_2_d</th>\n", + " <th>case_2_n</th>\n", + " <th>case_3_d</th>\n", + " <th>case_3_n</th>\n", + " <th>case_4_d</th>\n", + " <th>case_4_n</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>1</td>\n", + " <td>0.000021</td>\n", + " <td>12</td>\n", + " <td>5700</td>\n", + " <td>600</td>\n", + " <td>5700</td>\n", + " <td>460</td>\n", + " <td>5700</td>\n", + " <td>420</td>\n", + " <td>5700</td>\n", + " <td>300</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1</th>\n", + " <td>2</td>\n", + " <td>0.000016</td>\n", + " <td>2</td>\n", + " <td>1400</td>\n", + " <td>200</td>\n", + " <td>1400</td>\n", + " <td>150</td>\n", + " <td>1400</td>\n", + " <td>140</td>\n", + " <td>1400</td>\n", + " <td>99</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2</th>\n", + " <td>3</td>\n", + " <td>0.000005</td>\n", + " <td>2,7</td>\n", + " <td>1800</td>\n", + " <td>210</td>\n", + " <td>1800</td>\n", + " <td>160</td>\n", + " <td>1800</td>\n", + " <td>150</td>\n", + " <td>1800</td>\n", + " <td>110</td>\n", + " </tr>\n", + " <tr>\n", + " <th>3</th>\n", + " <td>4</td>\n", + " <td>0.000004</td>\n", + " <td>5</td>\n", + " <td>1600</td>\n", + " <td>3700</td>\n", + " <td>1600</td>\n", + " <td>2800</td>\n", + " <td>1600</td>\n", + " <td>2600</td>\n", + " <td>1600</td>\n", + " <td>1800</td>\n", + " </tr>\n", + " <tr>\n", + " <th>4</th>\n", + " <td>5</td>\n", + " <td>0.000004</td>\n", + " <td>6</td>\n", + " <td>720</td>\n", + " <td>40</td>\n", + " <td>720</td>\n", + " <td>30</td>\n", + " <td>720</td>\n", + " <td>30</td>\n", + " <td>710</td>\n", + " <td>20</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " Scenario_ID scenario_probability failed_segments case_1_d case_1_n \\\n", + "0 1 0.000021 12 5700 600 \n", + "1 2 0.000016 2 1400 200 \n", + "2 3 0.000005 2,7 1800 210 \n", + "3 4 0.000004 5 1600 3700 \n", + "4 5 0.000004 6 720 40 \n", + "\n", + " case_2_d case_2_n case_3_d case_3_n case_4_d case_4_n \n", + "0 5700 460 5700 420 5700 300 \n", + "1 1400 150 1400 140 1400 99 \n", + "2 1800 160 1800 150 1800 110 \n", + "3 1600 2800 1600 2600 1600 1800 \n", + "4 720 30 720 30 710 20 " + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.read_excel(r'Prob_Cons.xlsx')\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "id": "11d5077c-d8fa-4898-a68e-d3f6e6a96f9f", + "metadata": {}, + "source": [ + "### Evacuations (labeled Case 1-4)\n", + "\n", + "*As you can see above, the dataframe has 8 columns labeled `case_*_*`. The last character denotes either fatalities or damage with `n` or `d`, respectively.*\n", + "\n", + "The consequences in each scenario are dependent on whether or not there is a flood warning and time for an ordered evacuation or not. To account for this, 4 sub-scenarios are considered, and the probability of each is weighted equally in the total FN curve (cases are combined in `exceedance_prob`). For the response to a dike breach there are 4 conditions considered (in order of table on Page 139, Bijlage I):\n", + "- flood unexpected and no evacuation\n", + "- flood unexpected with an unorganized evacuation\n", + "- flood expected with an unorganized evacuation\n", + "- flood expected with an organized evacuation\n", + "\n", + "It is interesting to know how this is incorporated in the analysis, but you can ignore this when going through the exercise, since it becomes unecessarily complicated." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "5507ede2-4f44-413b-9f02-42a3adc81c8c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>Scenario_ID</th>\n", + " <th>scenario_probability</th>\n", + " <th>case_1_d</th>\n", + " <th>case_1_n</th>\n", + " <th>case_2_d</th>\n", + " <th>case_2_n</th>\n", + " <th>case_3_d</th>\n", + " <th>case_3_n</th>\n", + " <th>case_4_d</th>\n", + " <th>case_4_n</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>count</th>\n", + " <td>50.00000</td>\n", + " <td>5.000000e+01</td>\n", + " <td>50.000000</td>\n", + " <td>50.000000</td>\n", + " <td>50.000000</td>\n", + " <td>50.000000</td>\n", + " <td>50.000000</td>\n", + " <td>50.00000</td>\n", + " <td>50.000000</td>\n", + " <td>50.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>mean</th>\n", + " <td>25.50000</td>\n", + " <td>1.290931e-06</td>\n", + " <td>12549.780000</td>\n", + " <td>8603.360000</td>\n", + " <td>12493.000000</td>\n", + " <td>6631.500000</td>\n", + " <td>12491.000000</td>\n", + " <td>5988.66000</td>\n", + " <td>12471.100000</td>\n", + " <td>4269.280000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>std</th>\n", + " <td>14.57738</td>\n", + " <td>3.822669e-06</td>\n", + " <td>8887.756677</td>\n", + " <td>8037.445146</td>\n", + " <td>8839.023921</td>\n", + " <td>6213.314184</td>\n", + " <td>8839.795512</td>\n", + " <td>5578.15815</td>\n", + " <td>8835.288088</td>\n", + " <td>3965.545056</td>\n", + " </tr>\n", + " <tr>\n", + " <th>min</th>\n", + " <td>1.00000</td>\n", + " <td>8.830000e-09</td>\n", + " <td>230.000000</td>\n", + " <td>8.000000</td>\n", + " <td>230.000000</td>\n", + " <td>6.000000</td>\n", + " <td>230.000000</td>\n", + " <td>6.00000</td>\n", + " <td>230.000000</td>\n", + " <td>4.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>25%</th>\n", + " <td>13.25000</td>\n", + " <td>4.402500e-08</td>\n", + " <td>5475.000000</td>\n", + " <td>2225.000000</td>\n", + " <td>5475.000000</td>\n", + " <td>1700.000000</td>\n", + " <td>5475.000000</td>\n", + " <td>1600.00000</td>\n", + " <td>5475.000000</td>\n", + " <td>1100.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>50%</th>\n", + " <td>25.50000</td>\n", + " <td>1.125000e-07</td>\n", + " <td>11000.000000</td>\n", + " <td>3800.000000</td>\n", + " <td>11000.000000</td>\n", + " <td>2950.000000</td>\n", + " <td>11000.000000</td>\n", + " <td>2700.00000</td>\n", + " <td>11000.000000</td>\n", + " <td>1900.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>75%</th>\n", + " <td>37.75000</td>\n", + " <td>4.797500e-07</td>\n", + " <td>17000.000000</td>\n", + " <td>15750.000000</td>\n", + " <td>17000.000000</td>\n", + " <td>11750.000000</td>\n", + " <td>17000.000000</td>\n", + " <td>10750.00000</td>\n", + " <td>17000.000000</td>\n", + " <td>7775.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>max</th>\n", + " <td>50.00000</td>\n", + " <td>2.140000e-05</td>\n", + " <td>33000.000000</td>\n", + " <td>29000.000000</td>\n", + " <td>33000.000000</td>\n", + " <td>22000.000000</td>\n", + " <td>33000.000000</td>\n", + " <td>20000.00000</td>\n", + " <td>33000.000000</td>\n", + " <td>14000.000000</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " Scenario_ID scenario_probability case_1_d case_1_n \\\n", + "count 50.00000 5.000000e+01 50.000000 50.000000 \n", + "mean 25.50000 1.290931e-06 12549.780000 8603.360000 \n", + "std 14.57738 3.822669e-06 8887.756677 8037.445146 \n", + "min 1.00000 8.830000e-09 230.000000 8.000000 \n", + "25% 13.25000 4.402500e-08 5475.000000 2225.000000 \n", + "50% 25.50000 1.125000e-07 11000.000000 3800.000000 \n", + "75% 37.75000 4.797500e-07 17000.000000 15750.000000 \n", + "max 50.00000 2.140000e-05 33000.000000 29000.000000 \n", + "\n", + " case_2_d case_2_n case_3_d case_3_n case_4_d \\\n", + "count 50.000000 50.000000 50.000000 50.00000 50.000000 \n", + "mean 12493.000000 6631.500000 12491.000000 5988.66000 12471.100000 \n", + "std 8839.023921 6213.314184 8839.795512 5578.15815 8835.288088 \n", + "min 230.000000 6.000000 230.000000 6.00000 230.000000 \n", + "25% 5475.000000 1700.000000 5475.000000 1600.00000 5475.000000 \n", + "50% 11000.000000 2950.000000 11000.000000 2700.00000 11000.000000 \n", + "75% 17000.000000 11750.000000 17000.000000 10750.00000 17000.000000 \n", + "max 33000.000000 22000.000000 33000.000000 20000.00000 33000.000000 \n", + "\n", + " case_4_n \n", + "count 50.000000 \n", + "mean 4269.280000 \n", + "std 3965.545056 \n", + "min 4.000000 \n", + "25% 1100.000000 \n", + "50% 1900.000000 \n", + "75% 7775.000000 \n", + "max 14000.000000 " + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.describe()" + ] + }, + { + "cell_type": "markdown", + "id": "021ad4a5", + "metadata": {}, + "source": [ + "The function `find_scenarios_with_segment_i` will ask for the dike segment(s) of interest (as a list) and return all of the scenarios where a breach in this segment is considered." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "096d2419-9467-4505-898e-36a670dd46ce", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Given a list of segments, return set of dependent scenarios.\n" + ] + }, + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>Scenario_ID</th>\n", + " <th>scenario_probability</th>\n", + " <th>failed_segments</th>\n", + " <th>case_1_d</th>\n", + " <th>case_1_n</th>\n", + " <th>case_2_d</th>\n", + " <th>case_2_n</th>\n", + " <th>case_3_d</th>\n", + " <th>case_3_n</th>\n", + " <th>case_4_d</th>\n", + " <th>case_4_n</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>1</td>\n", + " <td>2.140000e-05</td>\n", + " <td>12</td>\n", + " <td>5700</td>\n", + " <td>600</td>\n", + " <td>5700</td>\n", + " <td>460</td>\n", + " <td>5700</td>\n", + " <td>420</td>\n", + " <td>5700</td>\n", + " <td>300</td>\n", + " </tr>\n", + " <tr>\n", + " <th>8</th>\n", + " <td>9</td>\n", + " <td>9.480000e-07</td>\n", + " <td>12,13</td>\n", + " <td>11000</td>\n", + " <td>2000</td>\n", + " <td>11000</td>\n", + " <td>1600</td>\n", + " <td>11000</td>\n", + " <td>1400</td>\n", + " <td>11000</td>\n", + " <td>1000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>49</th>\n", + " <td>50</td>\n", + " <td>2.450000e-08</td>\n", + " <td>8,12,13</td>\n", + " <td>19000</td>\n", + " <td>2700</td>\n", + " <td>19000</td>\n", + " <td>2100</td>\n", + " <td>19000</td>\n", + " <td>1900</td>\n", + " <td>19000</td>\n", + " <td>1400</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " Scenario_ID scenario_probability failed_segments case_1_d case_1_n \\\n", + "0 1 2.140000e-05 12 5700 600 \n", + "8 9 9.480000e-07 12,13 11000 2000 \n", + "49 50 2.450000e-08 8,12,13 19000 2700 \n", + "\n", + " case_2_d case_2_n case_3_d case_3_n case_4_d case_4_n \n", + "0 5700 460 5700 420 5700 300 \n", + "8 11000 1600 11000 1400 11000 1000 \n", + "49 19000 2100 19000 1900 19000 1400 " + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "print(find_scenarios_with_segment_i.__doc__)\n", + "find_scenarios_with_segment_i([12], df)" + ] + }, + { + "cell_type": "markdown", + "id": "e4cdbb15-6659-4227-935c-cbeab4a5b927", + "metadata": {}, + "source": [ + "## Compute exceedance probabilities\n", + "\n", + "Now that we have explored the database of scenarios, let's move towards evaluating risk. Before assembling the risk curves, we will extract the probability associated with each scenario, and use a prepared function (`assemble_analysis_cases`) to make the process easier." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "f30a1a10", + "metadata": {}, + "outputs": [], + "source": [ + "scenario_prob = df.iloc[:,1]\n", + "damage_and_fatality_cases = assemble_analysis_cases(df)\n", + "\n", + "choose_damage_or_fatality = 'fatality'\n", + "case = damage_and_fatality_cases[choose_damage_or_fatality]" + ] + }, + { + "cell_type": "markdown", + "id": "984faaa2-c42c-4879-86df-6e25e4fe1f04", + "metadata": {}, + "source": [ + "The function `exceedance_prob` computes the FN or FD curve depending on the case that is provided. And the function `plot_curves` will plot them with the limit line." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "1b360ec0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 1000x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "N_D_ordered_test, exceed_prob_test, complete_table = exceedance_prob(case, scenario_prob)\n", + "plot_curves(N_D_ordered_test, exceed_prob_test)" + ] + }, + { + "cell_type": "markdown", + "id": "7dce7a21-f338-40ce-ae1a-35ae357301ba", + "metadata": {}, + "source": [ + "## Modify the system and see how the FN (or FD) curve changes\n", + "\n", + "The function above allows the user to choose which dike segments to repair, then the relevant scenarios are removed from consideration. Play with the segments and see what the most important repairs should be to improve the system risk." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "f2a8ecf2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Segment [12, 13] in scenarios [ 0 7 8 49]\n" + ] + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA40AAAI9CAYAAACe6Z34AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOzdd1gUxxvA8e/d0USagL1hQRF77wZ712jsLVgTo9HE2HuLqEk0xpjoz9419hoTNfZeKFbEgg2wIUWKlLvfH+QuIEfv+H6e5x5hd2b23bsNuXdndkah0Wg0CCGEEEIIIYQQeiizOgAhhBBCCCGEENmXJI1CCCGEEEIIIRIkSaMQQgghhBBCiARJ0iiEEEIIIYQQIkGSNAohhBBCCCGESJAkjUIIIYQQQgghEiRJoxBCCCGEEEKIBEnSKIQQQgghhBAiQZI0CiGEEEIIIYRIkCSNQgghsoV169ahUCiS9apWrVqcurH3NWrUKMlj2dnZoVAo6NWrV5JlHzx4gEKhQKVS8fLlSwC8vb31xmVgYICNjQ2lS5emZcuWTJw4kWPHjqHRaFL1ngghhBDZgSSNQgghcpVz587x559/plt7+/btA6BevXoUKFAg0bLR0dH4+/vz6NEjjh07xoIFC2jZsiX29vZs37493WISQgghMpMkjUIIIbKdw4cPExwcnODrwoULidafNm1ausWiTRo7d+6sd/+kSZPixPb8+XM8PDxYt24dPXr0wMDAgAcPHtCrVy+GDRuWbnEJIYQQmUWSRiGEENlOnjx5MDMzS/CVJ08evfXKlCkDwLVr19i7d2+a43jz5g3nzp0DoFOnTnrLGBkZxYmtSJEiVK5cmc8//5zt27dz69YtqlSpAsDKlSuZPXt2muMSQgghMpMkjUIIIXKNrl27UqlSJQCmT5+e5mcJDx06RHR0NOXKlcPBwSFVbZQrV47jx49TrFgxAObOncvTp0/TFJcQQgiRmSRpFEIIkWsolUpmzZoFwI0bN9L8HGFSQ1OTy9bWFhcXFwAiIyNZsmRJmtoD8PDwYPjw4Tg6OmJhYYGpqSn29vZ07tyZ9evXExwcHKe8k5MTCoUCZ2fnRNvVThI0c+bMePs+bOOvv/7i008/pWjRohgYGODk5MS9e/d0EwOtXbs2yfMoU6YMCoWCbt266d3v5+fHlClTqFmzJvny5cPY2JgSJUrQt29fLl26lGT7Qggh0k6SRiGEELlK165dqVGjBgAzZ84kOjo6Ve2Eh4fz119/AWlPGgF69OiBhYUFAH///Xeq24mOjmbs2LFUq1aN5cuXc+fOHYKDgwkLC+P+/fvs378fZ2dndu3aleaYEzNp0iTatGnDvn378PHx0b3P5cqVo27dugBs3Lgx0TbOnTvHw4cPAejfv3+8/Tt27KBs2bLMmzeP69evExAQQEREBE+fPmXLli3Uq1ePGTNmpPOZCSGE+JAkjUIIIXId7XODnp6ebNq0KVVtHD9+nJCQEPLnz0/9+vXTHJORkRG1atUC4ObNm/F6ApNrzJgx/PTTT2g0GmrUqMH27dt58uQJ/v7+3L59m9WrV9OiRQsUCkWaY07IsWPHmD9/Pu3bt+fUqVO8evWKx48fM2XKFOC/BPDkyZOJDsXVfjY2Nja0a9cuzr7Dhw/Ts2dPQkJCqFWrFn/88YfuPK9cucLnn38OxHzWq1evzojTFEII8S9JGoUQQmQ7YWFhvHv3Tu8rJCQkyfrt27fXJXqzZ88mMjIyxTHs378fgA4dOqBUps//LsuVKweARqPBz88vxfUvXrzIL7/8oovrwoUL9OjRg+LFi5MvXz4qVKjAoEGDOHr0KH379k2XmPV5/vw5PXv25MCBAzRp0gRbW1tKlChBy5YtAejVqxeGhoZoNBo2b96st42IiAj++OOPOOW1wsPDGTRoEBqNho4dO3LhwgW6d++uO89atWqxbt06Jk6cCMT0eoaFhWXY+QohxMdOkkYhhBDZTrt27TA3N9f7Klq0aLLamDNnDgAPHz5kzZo1KTq+RqPhwIEDQPoMTdWysrLS/ezv75/i+tpnIU1NTVm3bh1GRkYJljUwMEhx+8mlUqlYtGhRgr2ZsXsOE+rpPXz4sO49+HBo6rZt23jx4gUGBgasWLEiwXOZNm0apqamvHr1Kk1DfoUQQiROkkYhhBC5UvPmzXFycgJiZix9//59sutevnwZX19f8uTJo+s9Sw+xZ3NNzfDR48ePAzG9jDY2NukWV0pVq1aNIkWKJFpGmwjeunULV1fXePu1zzvGfgZS6+jRowBUrVoVc3PzBHud1Wq1blbbq1evpvm8hBBC6CdJoxBCiGznxIkTaDQava+AgIBkt6PtbXz27BkrVqxIdj3trKktWrTA1NQ0RbEnJjAwUPeztbW17ufQ0NAEEyNtohkcHMyrV6+AmKQtK5UuXTrJMh06dCBfvnxA/AlxAgICOHToEKB/AhxPT08gZr3NhHqcta/r168D6N4bIYQQ6U+SRiGEELlWo0aNaN26NQAuLi6EhoYmq572ecb0HJoK/yVDSqWSggUL6rY7OjommBQ9fvwYgKCgIF15c3PzdI0rpZKTSBsbG9OjRw8Atm7dGmcW2z/++IP379+jUCjo169fvLqxk+vkCg8PT3EdIYQQySNJoxBCiFxN29vo5+fHsmXLkiz/4MEDbt26hVKppEOHDukWR0REhG4IZeXKlVOc+GmX6wBSNfNqcofDRkVFpbjthGh7Ef38/Dh27Jhuu/Y5x0aNGmFnZxevnpmZGRCTtCfU4/zha926dekWtxBCiLgkaRRCCJGr1a5dm06dOgGwcOHCJBMu7dDUunXrxukNTKvt27frjt2qVas4+7y9vRNMhrRJlbm5OQUKFADAzc0txcc3MTEBSHSW0cjIyHQd5tmwYUPKlCkD/DdE9fHjx5w9exaAAQMG6K2nraPvWUghhBCZT5JGIYQQud6cOXNQKBS8fv2an3/+OdGyGTE09c2bN0yePBmIWa9x9OjRqWpHOynPoUOHUjz7auHChQG4e/dugmWOHz9OREREqmJLiHb46Z49e3j37h2bNm1Co9FgYmJC9+7d9dbRJtVPnjyJ00MphBAia0jSKIQQIterUqWKLkH56aefePfund5y/v7+ul6w9Eoavby8aNasGc+ePQNg+vTpyV425EPaZDMkJIRBgwYluv7kh8NM69WrB4CHh4du8pjY3r17x/jx41MVV2K0Q1RDQ0PZvXu3bt3Gjh07YmlpqbdOv379dL28w4YNw8fHJ9FjeHt7p2h2XCGEECkjSWMG+euvv3BycqJAgQIYGxtTsmRJhg4dyvPnz7M6NCGE+CjNmjULlUpFYGAgb9680Vvm4MGDREdHU65cOd1SDkmJiIiIM9upn58ft27dYuPGjfTq1QtHR0c8PDwA+PLLL5kyZUqqz6F27dp89913QMww2gYNGrBjxw6ePXtGQEAAnp6ebNiwgTZt2uiSM63u3bvrnov89NNP2bNnD69fv8bX15edO3dSr149fHx84qwlmR7KlClD/fr1AZgxYwZ37twBEh6aCv+tQ6lSqXj06BHVqlVjwYIFeHh48PbtW16+fImbmxurVq2iY8eOlC1bNlXPeQohhEiejFv59yPn7+9PnTp1GDVqFDY2Nnh5eTF79mz++ecfbt68SZ48ebI6RCGE+Kg4ODjQp0+feMs/xKZ9nlH7DGRyuLi44OLikmiZMmXK4OLikuBwzJRYuHAhAIsWLeLq1au6GUo/1KtXrzi/58uXjxUrVtCvXz+ePn1K165d4+y3srJi//799O/fP0XLmiTHgAEDuHDhAt7e3gDkz5+fNm3aJFqnTZs27Nu3jwEDBvDq1SsmTpzIxIkT9ZZVqVSoVKp0jVkIIcR/JGnMIL1796Z379663z/55BNKlChB69atOX36tG4KeCGEEJlnxowZbN26Ve8Moe/fv+fvv/8GUj80VaVSYW5ujqWlJWXLlqVmzZq0atWKZs2aJXv20qQolUp+/PFH+vbty2+//cbJkyfx8fFBqVRSpEgRKlSoQLdu3fj000/j1e3VqxfFixdnwYIFnD9/nuDgYIoUKUKbNm2YOHEiJUuWTJcYP9SzZ09Gjx6te16yV69eGBgk/RWkffv2PHz4kJUrV3L48GFu3rzJ27dvMTIyonDhwlSpUoVOnTrRsWNH3ZqQQggh0p9Co101WGS4a9euUatWLY4dO0bz5s2zOhwhhBCxHD58mPbt25M/f378/PxQKuUJDiGEEAJy8DONjx49YuXKlQwdOpSqVatiYGCAQqFg7ty5yap/+PBhWrRogbW1NXnz5qVGjRosXboUtVqdrnFGR0fz/v17bt++zbhx46hevTqffPJJuh5DCCFE2mmHprZv314SRiGEECKWHNvT+M0337BkyZJ42+fMmcPUqVMTrTt//nwmTZoEQOnSpTEzM+PmzZuo1Wo6derEnj170u0Lg4ODA56engDUqlWLgwcPpuu6X0IIIYQQQgiRkXLsM422trZ06NCBOnXqULt2bVatWsWuXbuSrHfhwgUmT56MUqlk06ZNuucO3d3dad26Nfv372fRokWMHTtWVyc4ODhZs54WLlw43vThu3btIjg4GE9PT1xcXGjZsiVnz57VzWAnhBBCCCGEENlZju1p/JCzszPr169Psqexffv2HD58mGHDhrFixYo4+7Zs2ULfvn2xsbHB19cXQ0NDALZt2xZnUpuErF27Fmdn5wT3P3v2DDs7O+bPnx8nKRVCCCGEEEKI7OqjemgjKCiIY8eOATB48OB4+7VrWL1584YTJ07otvfq1QuNRpPkK7GEEaBYsWIUKlSI+/fvp+t5CSGEEEIIIURG+aiSRldXVyIiIjAxMaFGjRrx9hsaGlK7dm0ALl26lO7Hf/DgAT4+PpQpUybd2xZCCCGEEEKIjJBjn2lMDS8vLwBKlCiR4PpQpUuX5vjx47qyqdWlSxdq1qxJlSpVMDMz4/bt2/z4448UK1ZMby+n1vv373n//r3ud7Vajb+/PzY2Num2xpcQQgghhBAi59FoNLo1djNzpu+PKml8+/YtQKILAGv3acumVr169di+fTs//PADUVFRlChRgs8++4wJEyZgbW2dYD0XFxdmzZqVpmMLoZcjUBswjLXtFnAFiL/OuRBCCCGEyKaePn1KsWLFMu14H1XSGB4eDoCRkVGCZYyNjQEICwtL07EmTJjAhAkTUlxv0qRJjBkzRvd7YGAgJUqU4N69e4kmm9lNZGQkJ06coGnTproJhXLK8dLSVkrrpqR8csomVcbrhRcD1wzkbuDdmA0Vwa6xHb90+4XaxWtn6meWXuRay57XWmL7M/szSy9yrcm1llnkWpNrLbPItZbzrjV/f3/KlSuHubl5knGnp48qaTQxMQEgIiIiwTLaoaF58uTJlJg+ZGxsrEtcY7O2tsbGxiYLIkqdyMhITE1NsbGxybQ/Qul1vLS0ldK6KSmfnLJJlbGwsGBeo3k8yvOIqfunEhYRhre/N51Xdmak00gamTTKtM8svci1lj2vtcT2Z/Znll7kWpNrLbPItSbXWmaRay3nXWtamf3Y2kc1EU5yhp4mZwirEDmZUqHk62Zf4z7dnYZlGwIx4+OXnljKN6e+4eLDi1kcoRBCCCGEyE4+qqTR3t4egCdPnhAVpf8hrocPH8YpK0RuZV/QnlPjTvFT958wMYzphfcN9cXpJycm757M+8j3SbQghBBCCCE+Bh9V0li9enUMDQ0JDw/n+vXr8fZHRkZy5coVAOrWrZvZ4cWxbNkyHB0ddUuACJERVEoVY1qNwW26G3Xs6gCg1qhx+dOFOvPq4PHMI4sjFEIIIYQQWe2jShotLCxo0aIFAKtXr463f8eOHQQFBWFjY4OTk1MmRxfXiBEjuH37ti6JFSIjlS9UnpPfnaRv+b4YqmLGzns886DW3FrM/3M+0erorA1QCCGEEEJkmY8qaQSYMmUKCoWCVatWsXXrVt12d3d33ayl48ePT3SGVSFyIwOVAd3tu3Nu/DkqFa0EQGR0JJN2T6LxwsZ4vUjb2qVCCCGEECJnyrFJ47lz57C1tdW9tm3bBsSscxh7+9OnT+PUa9iwIXPmzEGtVtOnTx/KlClD1apVqVGjBi9evKB9+/Z89913WXFKQmQL1YpX4+qUq0xoMwGlIuZPxIUHF6g2uxq/nfgNjUaTxREKIYQQQojMlGOTxsjISN68eaN7aZfKCA0NjbM9Ojr+sLopU6Zw4MABmjVrxps3b7h//z6VK1fm559/Zt++fahUqsw+HSGyFWNDY+Z/Np/T409TJn8ZAEIjQhmxZQStf27NM/9nWRyhEEIIIYTILDl2nUYnJ6c09Xh06NCBDh06pGNEQuQ+Dcs2xG26G+N3jef3k78DcPT2USrNrMSvfX6lb92+mb5OkBAi94uMjNTd9I2MjMTAwIDw8HC9N4IT259U3ewqs+NOz+Olpa2U1k1J+eSUlWtNrrX0KJ/ca02lUuWo0Vs5NmnM7ZYtW8ayZcty1B8ekTuZmZjxW9/f6Fy1M4PWD8InwIfAsED6r+7PHtc9LO+3nPzm+bM6TCFELhAUFMTr1691o4cgZh3ZQoUK8fTpU703qRLbn1Td7Cqz407P46WlrZTWTUn55JSVa02utfQon5Jr7eHDh5iZmVGgQIFsP5+KJI3Z1IgRIxgxYgRBQUFYWlpmdThC0LpSa27OvMnXW79m86XNAOy+vpuzXmdZOWAlnap1yuIIhRA5WVBQEM+fP8fMzAxbW1sMDQ1RKBSo1WrevXuHmZkZSmX8p2oS259U3ewqs+NOz+Olpa2U1k1J+eSUlWtNrrX0KJ+cstHR0QQHB6NUKgkKCsLb25tixYphamqaovPITJI0CiGSLV/efGwasolPq3/Kl5u+5M27N7wMfknnZZ1xbuDMzz1/xtJUbnIIIVLu9evXmJmZUaxYsTh359VqNREREZiYmCT4RT6h/UnVza4yO+70PF5a2kpp3ZSUT05ZudbkWkuP8sm91iIjI7GwsMDGxobHjx/z+vVrSpQokaLzyEw556oWQmQb3Wp24+bMm3So8t9zwevOr6PKrCqcuHsiCyMTQuREUVFRvH//HktLyxw1tE8IIdJKpVJhbW1NSEgIUVFRWR1OgiRpFEKkSiHLQuwfuZ/Vn6/G3MQcgCf+T2j2UzO+2fYNYRFhWRyhECKn0H5RMjQ0zOJIhBAi8xkbGwNI0iiEyJ0UCgWDGg3CY4YHTuWddNuXHF9Crbm1cHvilmWxCSFyHullFEJ8jHLC3z5JGrOpZcuW4ejoSO3atbM6FCGSZGdrx/Exx1ncczHGBjF3y2773qbOvDosPLKQaLXMAiyEEEIIkVNJ0phNjRgxgtu3b3PlypWsDkWIZFEqlXzT4huuTb1GteLVAIiMjmTCrgk0+6kZj988ztoAhRBCCCFEqkjSKIRIVxWLVuTipItMaDNBN9zi9L3TVJlVhQ3nN+SohWyFEEIIIYQkjUKIDGBsaMz8z+ZzcuxJStqUBCAoLIjP135OjxU9ePPuTRZHKIQQQgghkkuSRiFEhmlSrgnu093pX6+/btvOazupPLMyf9/6OwsjE0KInMfOzg6FQpHo6+effwbA29tbt83U1BRfX98E2zUyMiJfvnx4e3snWOb48eMoFApGjBgRr33ty8DAAFtbW2rUqMFnn33GokWLePXqVXq+BUKILCJJoxAiQ1maWrJh8Ab++OIPrPNaA+Ab6Evrn1szausoWZpDCCFSyN7enoYNG+p9FS1aNF75sLAwXFxc0nTMgwcPAtChQ4d4+2rVqkXDhg2pV68eJUqU4N27d+zdu5fvvvuOYsWKMWPGDKKjZUI0IXIyg6wOQAjxceheqzsNyzZk4NqB/H07ppdx6T9LOXbnGJsGb6JGyRpZHKEQQuQMkydPxtnZOdnllUol//vf/5gwYYLepDI5Dh06hKmpKU2bNo23b8eOHdjZ2QGgVqsJCgri5cuXrFixgiVLljB79my8vLzYsmVLqo4thMh60tMohMg0RayK8OfoP/ml1y+YGJoAcMf3DvVc6uFy2EWW5hBCiHSmUqno0aMH79+/Z968ealq4969e3h5edGiRQtMTEySVads2bL89NNPHDx4EJVKxdatW1m/fn2qji+EyHqSNGZTsk6jyK2USiVfN/+aa1OvUb1EdSBmaY7Jeybj9IMTj149yuIIhRAid5kxYwZKpZJVq1bx9OnTFNc/cOAAoH9oalLatGnDyJEjAVI9RDYqKoqVK1fStGlTbGxsMDExoXTp0nTr1o3Dhw/HKat97jOh5zObNWuGQqHg5MmTcbY7OTmhUqk4e/Ysbm5udOvWjYIFC6JUKlm3bh3dunVDpVKxdOnSBOP8888/UalU1KgRf+TMs2fPGDVqFOXKlSNPnjxYWVnRtGlTdu7cmeL3Q4isIEljNiXrNIrczrGIIxcnXWRS20m6pTnO3j9L1dlVWX9+vSzNIYTIcF7BEUxye0nvc8+Z5PYSr+CIrA4pQzg4ONC7d28iIiKYO3duiusfPHgQhUJB+/btU3X8L7/8EgBPT08ePHiQorpv377FycmJYcOGcfLkSczNzalcuTIhISHs2bOHiRMnpiqmhJw/f54GDRrw119/Ubx4cUqVKgVAnz59ANi1a1eCdbX7evfuHWf7qVOnqFSpEkuXLuXZs2fY29tjYWHByZMn6d69O2PHjk3XcxAiI0jSKITIMkYGRszrOo/T405jZ2MHQHB4MM5rnem+vLsszSGEyDBrHwbgcPABP9x9wx9Pgvjh7hscDj5g3cOArA4tQ8yYMQOVSsXatWsTnSX1Q4GBgZw7d47q1atTpEiRVB3bwcEBGxsbgBTfDB80aBDnzp2jTJkyXLx4EW9vb65cucKLFy/w9PRkyJAhqYopIQsXLmTAgAG8ePGCq1ev8uDBA3r27En79u2xtLTE3d2de/fuxasXGhrKkSNHUCgU9OrVS7fdx8eHrl27EhQUxLx583j79i0eHh48efKEc+fOUbRoUd0wXiGyM0kahRBZrpF9I9xnuOPcwFm3bdf1XVSeWZm/bv6VdYEJIXIlr+AIhlzyRQ1Ea4jz7+BLvtzP5j2OAwcO1LvchpOTU4J17O3t6devH5GRkSnqbTxy5AiRkZGpGpoaW/HixQF4+fJlsutcuXKFvXv3YmxszJ9//kndunXj7C9btiyjRo1KU1wfqlChAr/99humpqa6bXny5MHY2JguXboAsG3btnj19u/fT0hICI0aNdKdK8BPP/2Ev78/33zzDZMmTcLY2Fi3r0GDBixfvhyAxYsXp+t5CJHeZPZUIUS2YJHHgrUD19KhSgeGbRyGf4g/voG+tFnShpFNR7LgswWYGpsm3ZAQItdpeu41ryITXu9Po1ajUOrfr29fYGQ06gTaUgPVjzzE0lCVymjjKpTHgKutS6VLW1r29vYUKFAg3vbKlSsnWm/atGls3ryZ9evXM3nyZEqXLp3ksRJbaiMl8ubNC0BwcHCy6+zbtw+ALl26YG9vn6bjJ1ePHj1QKvX3qfTu3Zt169axbds2Zs6cGWefNpGM3csIsHv3boAEe0TbtGmDkZER58+fJyoqCgMD+Wousie5MoUQ2cpnNT+jQZkGDFo/iCM3jwDw64lfOXbnGJuHbJalOYT4CL18H43P+4TSPK3E9idVN653URreRUWlqE5mSumSG1plypRhwIABrFmzhjlz5rB27dpEy6vVao4cOUKhQoWoVatWKqON8e7dOwAsLCySXefOnTsA1KtXL03HToly5coluK9Zs2YULFgQT09PXF1dqV49ZjK3gIAA/vrrLwwMDOjWrZuu/Lt373RDgYcNG5boccPDw3nz5g0FCxZM+0kIkQEkaRRCZDuFrQpzeNRhfjv5G2N3jCU8Mpy7fnep51KPuZ/OZWyrsQneCRZC5D4FjFUoEvlvPqY3Uf9+ffsCI6N5F5XwZFtmBop07WnMTqZNm8bGjRvZuHEjkydPTrQH78KFC7x+/ZpBgwbpJixLLe2srbF7SBs1ahSvnK2tra53LigoCAArK6s0HTsltD2i+iiVSrp06cLy5cvZunWrLmnctWsXERERtGzZEltbW135wMBA3c/nzp1L8thhYWFpiFyIjJW9/pIJIcS/FAoFI5qOoLlDc/qt7se1x9eIjI5kwq4J/HXrL9YPXE8x62JZHaYQIhOcaGiLhYWF3ptF2sXk9e1PaJ9XcAQOBx/o7X9UAq5tSlPW3CidzyJ7sLOzw9nZmZUrVzJ79mw2btyYYNn0Gpp6+/Zt/P39AahTp45uu75EKvbzgObm5kBMT15yaZPbhGbgDgkJSXZb+nz22WcsX76cbdu2sWDBAhQKBVu3btXti83MzEz3c0REBIaGhmk6thBZSW7VCyGyNYfCDpyfeJ6JbSfqvgz8c/cfqsyqwq5rCU99LoQQCbE3N2J13cIoAZUClIp//wVW1y2caxNGralTp2JkZMTWrVvx9PRMsNzBgwcxMjKiZcuWaTqedrKXChUq6JawgJjELvYrOjoaDw8P3f6KFSsCcPHixWQfS9tT+OqV/mdcU7rkx4dq1apFmTJlePr0KWfPnsXPz4+TJ0+SJ0+eeEuSWFpa6macvXXrVpqOK0RWS3PSGBkZyfnz51m4cCEjRoygR48edOzYkYEDBzJ+/Hi2bdvG8+fP0yPWj8qyZctwdHSkdu3aWR2KEFnOyMAIl64u/PPdPxTLF9O7+Db0Ld2Wd+OLTV8QFiVDeoQQKeNc2grPDmUY52BDj+IWjHOwwbNDGZxLW2V1aBmuRIkSDB48mOjoaGbNmqW3zJMnT7h58yZOTk5xesxS6siRI/z2229AzLOYKfHpp58CsHfv3mQne9rJffQt7bF//37evn2bohj00U52s3XrVrZv3050dDQdOnTQ+z517doVgJ9//jnNxxUiK6U6aTxx4gR9+/bFysqKxo0bM2nSJH7//Xd27tzJoUOHWL9+PT/++CN9+/alRIkSVKpUiUWLFvH69ev0jD/XGjFiBLdv307xekZC5GZO5Z1wn+FOt5r/TTSw9vxaxpwew1Xvq1kYmRAiJyprboRLtQJsbVgUl2oFcn0PY2yTJ0/G2NhYl/R86MCBA0Dqh6bev3+f7777jg4dOhAdHU2/fv3o169fitqoWbMmXbp0ITw8nLZt28b7TnT//n2WLl0aZ1vbtm2BmPUWvby8dNuvXLnCxIkT02WIaJ8+fQDYsWMHmzZtAmJmVtVnwoQJWFtbs379esaMGRNvqK2/vz9r1qxJ0TIoQmSFFD/TeODAASZNmsSdO3fQaDQYGBhQrVo1ateuTeHChbG2tiZPnjz4+/vj7++vS3xu377N2LFjmTx5MsOGDWPatGnkz58/I85JCJGLWee15o8v/mD9+fWM3DqSkPch+Ib60uTHJszuPJvxbcajUqbPBBZCCJFbFStWjKFDh/Lrr7/q3Z+S5xm7d++uW38wJCSE58+f64aHGhkZMW3aNKZOnZqqOFevXo2fnx8XLlygTp062NnZYWtry9OnT3nx4gXFixdnypQpuvIDBw5k2bJl3Lp1C0dHRxwcHIiIiODevXt07dqVN2/ecOrUqVTFouXg4EC1atVwc3Pj9evXWFlZ0bZtW8LDw+OVLVasGPv37+fTTz9l8eLF/Prrrzg4OGBqasqrV6949OgRGo2Gnj17pikmITJaipLGJk2acO7cOfLkyUOPHj3o1asXrVu3xsTEJMm6Dx48YNu2bWzdupVff/2V9evXs2HDBjp37pzq4IUQHyeFQoFzQ2ca2Teiz8o+XPG+QpQ6isl7JnPk1hE2DtpICZsSWR2mEEJka5MnT2bVqlXxkp3Q0FBOnjyJo6NjnGcQE3L1asxID6VSiYWFBfny5aNhw4Y0adKEfv36pamTIF++fJw6dYqVK1eyZcsWbt68iZ+fH4ULF+azzz6Ls8QFgImJCf/88w+TJ0/mwIEDeHl5UapUKX744QcGDRqkGy6aVn369MHNzQ2ImQDHyMhIb9II0LBhQ27fvs2SJUs4ePAgDx48IDo6mqJFi9KmTRs6duyYbnEJkVFSlDTevHmTadOm8c0336R4+uMyZcowZcoUpkyZwokTJ5gzZw4eHh6SNAohUq1sgbKc/O4kzr84s+v+LtQaNafvnabKrCqs6L+CnrXlzq0QIvfQrvmXHHZ2dgnOIKpVuHBhwsLC4swyC3D06FHCw8MT7WVMqP3EZrNNLUNDQ7766iu++uorvcf6UIECBVi1apXesv/884/euE6ePJlge/qMGzeOcePGxWk/Mfnz52fu3LkyDFXkWClKGh8/fqyb/jgtmjZtStOmTQkODk5zW0KIj5uhypC+5fsyvONwnNc588T/CYFhgfT6Xy8O3zjMr31+xdwk7X+3hBDiY3Ho0CEg7UttCCFyjxTdAkqPhDEj2xNCfLwalW2E+wx3etXupdu24cIGqs2uxsUHyZ+uXQghPnb/+9//0Gg0NG7cOKtDEUJkE7JOoxAi17AytWLL0C1sHLxR17v48NVDGi1sxOwDs4mKjsriCIUQQgghcp4Uz56qj5+fHzt37uTx48dYWFjg4OBA1apVKVeuXHo0L4QQyaZQKOhXrx8NyjSg3+p+XHhwgWh1NDP2z+Dv23+zafAm7GztsjpMIYQQQogcI81J46VLl2jdujXBwcG6B6IVCgUApqamVKpUiWrVqlG1alWqVatG5cqVyZs3b1oPK4QQiSqdvzSnx53m+0PfM/vgbNQaNefun6Pq7Kr81uc3+tbrm9UhCiGEEELkCGlOGsePH09QUBCOjo707dtXtxaOm5sb9+7d49KlS1y6dEmXSCqVSiIjI9McuBBCJMVAZcCMTjNo6diSfqv78ej1I4LCgui3uh9/3vyTZX2WYWlqmdVhCiGEEEJka2lOGt3c3DA3N+fMmTPky5cvzr7w8HBu3LiBu7s7bm5uuLq6cvPmzbQe8qOwbNkyli1bRnR0dFaHIkSO16BsA9ymuzFyy0g2XtwIwOZLmzl7/yybh2ymYdmGWRyhEEIIIUT2leak0cTEhJIlS8ZLGLX7ateuTe3atdN6mI/OiBEjGDFiBEFBQVhaSk+IEGllkceCDYM30LZSW4ZvHk5gWCCP3zymycImTG0/lWkdpmGgSpfHvIUQQgghcpU0z55av359Xrx4kR6xCCFEhutdtzfuM9xpbB8zlbxao2b2wdk0XtiYBy8fZHF0QgghhBDZT5qTxm+//ZanT5/yzz//pEc8QgiR4UralOTE2BPM/XQuKqUKgIsPL1JtdjU2XtiYxdEJIYQQQmQvaU4aa9WqxeTJk/n8889xdXVNj5iEECLDqZQqprSfwrkJ5yiTvwwA796/Y8CaAfRb1Y+gsKAsjlAIIYQQIntIc9JoaWnJtm3bePXqFfXr12fUqFGcOXOGqChZRFsIkf3VLV0X1+muODdw1m3bfGkz1edU59LDS1kXmBBCCCFENpHmpNHU1JSHDx8SERFBREQEy5Ytw8nJCTMzM2rUqMGgQYP45ZdfOH36NEFBcudeCJH9mJuYs3bgWrYO3YpFHgsAHr56SKOFjXA57EK0WmYxFkIIIcTHK81TBQYFBfHo0SM8PDxwd3fX/fvw4UPc3Nxwc3PTrdEIYGdnx4MHMtmEECL76VWnF3VL1aXv6r5ceHCBqOgoJu+ZzNHbR9k4eCNF8xXN6hCFEEIIITJduswvX6pUKUqVKkXnzp1120JCQrhx40acZNLDwwNvb+/0OKQQQmSIUvlLcXrcaWYdmMX3h79Ho9FwwvMEVWZVYY3zGtpVbJfVIQohhBBCZKo0D09NSN68ealXrx7Dhg1j2bJlnDlzhsDAQOllFEJkewYqA+Z8OocT352gWL5iAPiH+PPpsk8ZtW0U76PfZ3GEQgghMsL8+fNRqVTMnDkzRfVOnjxJvnz5aNasWcYElkYKhSLOyL+M5O3tjUKhwM7OLlOOlxgnJycUCgUnT57M6lByvAxLGhOSHS4gIYRIjk/Kf4L7DHe6VO+i27b89HLGnR3HTZ+bWRiZEEJA5cqVUSgU5MmT56ObN2LdunXMmjWLJ0+eZHUome7kyZOZmgSmpyVLljB//nwCAgJSVV973pIEZr5MTxqFECInsc5rza7hu1jebzl5jPIA8CT4CfXn12fZiWVoNJosjlAI8TFyc3Pj5s2Ym1fh4eHs3LkziyPKXOvWrWP27NkfZdKYGuXLl6d8+fKZcixDQ0PKly9PmTJl4u1bsmQJCxYsSHXSmFIlSpSgfPnymJqaZsrxcrMUJY1fffUVz549S5cDb9u2jS1btqRLW0IIkZEUCgVffPIFV6dcpVKRSgC8j3rPyC0j+XTZp7wOfp3FEQohPjYbN24EwMrKKs7vQuhz9+5d7t69mynHKlq0KHfv3uX48eOZcrzEbNiwgbt371KnTp2sDiXHS1HS+L///Y+yZcsyZMgQTp8+neKDvXr1il9//ZUKFSrQt29fHj16lOI2hBAiqzgWceT8hPN0sOug27bffT9VZ1flxN0TWRiZEOJjEh0dzdatWwH49ddfUalUnDp1SnrdhBAZJkVJo5ubG82bN2fNmjU0bdqU4sWLM2zYMFatWoWrqyt+fn5EREQAEBgYyKNHjzh8+DCzZ8+mVatWFC1alNGjR/PmzRsWL17M+PHjM+SkhBAio5gYmjCk0hD2DN+DrZktAD4BPjRf1JzJuycTGRWZxREKIXK7Y8eO4evrS6FChejVqxfNmjVDo9GwefPmROuFhoby448/Uq9ePaysrDA1NcXe3p4BAwZw7ty5eOU1Gg07duygXbt2FChQAGNjY0qUKEHbtm1Zt26d3mNcvnyZQYMGUbx4cYyMjChYsCDdu3fH1dVVb/nYz+Zt2bKF5s2bY2FhgbW1NZ9++qluCK6W9nm+U6dOAdCxY0dUKpWundhxXbx4kfHjx1OrVi0KFSpEwYIFKVmyJP379+fWrVuJvlcAfn5+DB48mCJFimBiYkLFihVZunQpUVFRSdb9UGhoKAsWLKBWrVpYWFhgampKtWrV+OGHH3j/PuMnV0voGcjSpUuTL18+vL29OXXqFC1atMDKygpra2u6dOmCl5eXruz+/ftp3LgxFhYW5MuXj969e+Pj4xOvTX0T4axbtw6FQsHjx48BKFOmjC6mjHxGMaGJcAYOHEi+fPlYt24dPj4+DBo0iMKFC+s+52XLliXa7uXLl+nVqxdFixZN1nWeG6QoaaxUqRKHDh3i1KlTdOvWjVevXrFq1Sq++OILatWqRdGiRcmTJw8qlQpra2vKli1Lx44dmTlzJseOHcPOzo758+fz4MEDRo0ahaGhYUadV463bNkyHB0dqV27dlaHIoTQo33l9njM8KBFhRZAzJcrlz9daLSwEQ9eyizRQoiMs2HDBgB69uyJSqWib9++QOJDVJ88eUKtWrUYN24cly5dokCBAlSoUAF/f382b96Mi4tLnPIRERF89tln9OjRgz///BMDAwOqVq2KWq3mr7/+YuDAgfGOsXjxYho0aMCePXsIDw+nUqVKREdHs3PnTurWrcvu3bsTjG/hwoX079+f58+fU6FCBaKioti3bx916tTh7NmzunKWlpY0bNgQCwsLACpUqEDDhg11r4IFC+rK9uvXjx9++AFvb28KFixIuXLlCA4OZtOmTdSuXTvRROXNmzfUqVOH9evX65LNu3fvMn36dHr06IFarU6w7oeeP39O7dq1mThxIu7u7hQsWBA7Oztu3brF+PHjadGiBWFhYcluLyPs3buX5s2bc+PGDcqUKUNERAR79+7lk08+wc/Pj8WLF9O5c2e8vb0pXbo0YWFhbNu2jWbNmhEeHp5k+wULFqRhw4YYGxsDUKtWrTifm6WlZUafol5PnjyhZs2abN26lSJFimBjY8Pt27cZOXIk33//vd46ixcvpl69emzfvj3F13lOlqqJcBo3bsz27dt59uwZK1asoE+fPtjZ2aFSqdBoNLqXubk5jRs3ZvLkyZw8eZJ79+4xbtw4zM3N0/s8cp0RI0Zw+/Ztrly5ktWhCCESUNiqMH998xcLPluAgSpm2dvLjy5TfU51Nl9M/I6/EEKkxrt379i7dy+ALlns2rUrefLk4c6dO1y7di1enejoaLp27cqdO3eoVasWt2/f5t69e1y7do03b95w7do1unTpEqfOhAkT2LNnD7a2tvz555/4+Phw+fJlnj17xrNnz5gxY0ac8keOHOG7777DxsaGDRs28OrVK65fv87r169ZtWoVGo0GZ2dnfH199Z7X1KlT+fHHH7l9+zaXLl3Cz8+Pvn37EhYWRr9+/XRJVfXq1Tl79izVq1cHYpLN06dPc/bsWc6ePUvbtm11bU6fPp0HDx7w+vVr3N3dOXPmDC9fvmTVqlVERkYyePDgBJO/5cuXY2Vlxf3793F1dcXT05MTJ05gYWHBvn37+P3335PxaYFaraZHjx7cvn2bXr168ezZM7y8vLh9+zaPHj2icePGnD17lunTpyervYwyceJEFi5ciK+vL9euXePZs2fUq1cPX19fhgwZwtSpU9m8eTNPnz7Fzc0NLy8vSpcujaenJ2vXrk2y/bZt23L27FkKFSoEwPbt23WfWezPM7PNmzePRo0a6c77+fPn/PbbbwDMnTs33oQ9sa/zXbt28ebNm3jX+aBBg/Dz88uCs8lYaZo91dbWlqFDh7Jx40YePHhAREQE/v7++Pj4EB4eTkBAACdPnmTu3Lk0adIkvWIWQohsQ6lUMr7NeM5POE/ZAmUBCA4Ppt/qfgxYPYCgsI9rGnwhRMbatWsXoaGhlC1bVjcaydzcnA4dYp611tfbuHv3bq5du0aBAgU4cuQIFSpUiLO/WrVqDB48WPe7j4+Pbnje7t27adOmTZzyRYoUibeO4ZQpU9BoNKxcuZKOHTvG2Td48GBGjx5NcHAwq1at0ntebdu25dtvv0WpjPlqampqypo1ayhUqBCPHz9m27ZtSb018QwYMIDSpUvH2WZgYMDgwYPp1asXDx8+5OLFi3rrRkVFsW7dujhDLJs0acKUKVMA+PHHH5M1e/ahQ4c4f/48tWvXZuPGjXF6QosVK8b27dsxMzNj+fLlWdrb2LZtW8aMGaN7/62srJg1axYQcw5Dhw6lT58+uvLFixfXPWZ25MiRzA84ndjY2LBu3TrdhFIAw4cPp0aNGoSHh3PiRNz5CqZNm4ZGo2H16tV07do1zr7Y13lunJjKIL0bjP2mCyHEx6J2qdpcn3adr7d8zfoL6wHYeHEj5x6cY+vQrdQpJTO3CZFaTZc05dW7Vwnu12g0Ca5Zl9i+zFDIshBXp15Nt/a0X0Zjf4GHmF7HHTt2sHXrVn788UcMDP77irdv3z4ABg0ahI2NTZLHOHz4MJGRkdSrV4/GjRsnWf7x48dcv36dAgUK0KlTJ71rRnbq1ImffvqJU6dOMW3atHj7R4wYEW+bkZERQ4YMYe7cuQkOiU3K3bt32bp1Kx4eHrx69d81pJ00yN3dnQYNGsSrV79+fWrUqBFve9++fZkxYwbe3t54enri4OCQ6PG1QxWdnZ3jfCZahQsXpnbt2pw4cYJr167RqFGjFJ1fehk0aFC8bdWqVdP9HPumgpa2d/Dhw4cZFldG69WrF3nz5o23vXbt2ly/fj3OuT158iTOda6P9jrX94xwTpfuSaOvry+FCxdO72aFECLbMzcxZ92gdbSq2IovN31JcHgwD189pOGChszpPIfxrcfr7uIKIZLvZfBLfALjT7jxsXn+/Lmu5+PDpLFt27bky5ePly9f8vfff9OuXTvdvjt37gBQr169ZB0npeVv3LgBxKwX2aRJE6KiouIlSNrn3p4/f663jQ97Pz/cfu/evWTFEpuLiwtTp05N9PlDf3//FMWTN29eihcvjpeXF/fu3UsyadS+N7///nuCS81pzy2h9yYz6FtTMX/+/Mna/+7du4wLLIPpOy+AAgUKAHHP7fbt20DMtZxQcq+9zhMahp2TpXvSWLRoUWxtbalatWqcl6Ojo947LEIIkdv0qduHeqXr0WdlHy49ukRUdBSTdk/i2J1jbBi0gSJWRbI6RCFylALmBRLtLczuPY3pZfPmzajVamrUqBFvoXYjIyO6d+/O//73PzZu3BgnadT2/CV3NFhKywcGBurqJdXDktAQTO2X9A9ph3MGBwcnKxat06dPM3nyZFQqFS4uLnTo0IF8+fJRqFAhVCoVU6dO5fvvvycyUv+M1wnFo43Jy8srWTFp35sPZ4HVJyuHp5qamsbbFvu/m8T2J2eYbnal77wA3Q3e2Oem/e8iLdd5TpbuWdyaNWvw8PDAzc2NdevW4e/vj0KhwMDAgAoVKsRJJKtUqRLnLoYQQuQWpfOX5sz4M8w6MIt5f85Do9Fw/M5xqsyqwlrntXSs2jHpRoQQAJwYHTMBib6eerVaTVBQkN79ie3LibRDU69fv55oIrxv3z7deQO6CQg/nNQjISktb2ZmBkDDhg05ffp0qt7zV69eUaRI/BtqL1++jBNTcmmXHxk3bhwTJ07UXQva9+3p06dJxpOQlMSkfW+OHj1KixYtkhW7yJ5iX+exZ/T9kPZay23SPWl0dnaO8/vTp09xd3fH1dUVDw8Pzp8/z6ZNm4CYOxSpWetGCCFyAkMDQ+Z2mUvzCs3pv7o/zwOe8+bdGzr92okRTUcwr/O8rA5RCJFDuLq6cvPmTRQKRaK9YG/fviUsLIxdu3bpngGsWLEirq6uXLx4kc6dOyd5rIoVKwIkOEnMhxwdHYGYYa0pWYoitjt37uhNGrVDZcuVKxdne1K9x97e3gB6n1eEmGcZk4pHn9DQUN3zkB/GpI+joyNubm7cvHlTkkaS/tyyM23vvvY6zw03olIiw8+2ePHidOjQgWnTprFt2zZ+//13Pv/8c93yHEIIkds1dWiK+wx3Olf778vashPLaLCwAU+Cn2RhZEKInELby9ikSRP8/PwSfH333XdxygN8+umnQMxosISe4YutXbt2GBoacvHixWRN6GFvb0+lSpXw9/fXrSGZUtplDmKLiIhg9erVALRq1SrOvjx58gAJDwPU7n/x4kW8fX///XeSSeP58+dxc3OLt33Tpk2Eh4dTsmTJeEOE9dHOsLlixYpkrWeY2yX1uWVnZcqUSfN1npNleNIYEBDA1q1b6d27N7a2trRu3ZorV64wduzYRLt2hRAiN7Exs2HPV3v4ve/vmBiaAHDL5xZjz4xl5ZmVchNNCJGg6Ohotm7dCkD//v0TLduvXz8ATp48qRuC+emnn1KrVi1evnxJu3bt8PT0jFPH3d1dl5xBzIyeI0eOBGKSnr///jtOeR8fH2bPnh1n24IFC1AoFHz99dds2LAh3kiyhw8f8v333ye48PmhQ4f45ZdfdH8Lw8LCGDp0KD4+PhQvXpxevXrFKa9dSiOhpFY7Ucn8+fN59OiRbvuVK1cYNGgQJiYmeutpGRgY4OzszOPHj3Xbzp49i4uLCwBjx45NVq9Zly5dqFevHnfv3qVjx47cv38/zv73799z6NAhvbOX5kalSpUC4NSpU1kcSeq4uLigUCgYMWIEq1at0nudz5s3jwMHDmRRhBknQ5LGhw8f8vPPP9OsWTMKFizIwIEDefPmDbNnz+bBgwfcuHGDefPmUb9+/Yw4vBBCZEsKhYIvnb7k6pSrVC5aGYAIdQQjto6g+/LuvA15m8URCiGyo6NHj+Ln54eJiQndunVLtKyjoyPVq1dHo9HonutTqVTs2rWL8uXLc+nSJRwcHChfvjy1atXC1taWGjVqsGfPnjjtuLi40LlzZ16+fEnr1q0pWrQoderUoXjx4hQrVowZM2bEKd+uXTuWLl3K+/fvGT16NLa2ttSqVYvatWtTqFAhypQpw9SpU3XPA35o7ty5fPvtt1SoUIF69epRqFAhNmzYgImJCZs2bYo3YUnPnj0BWLJkCRUqVOCTTz7ByclJt2bgsGHDKF26NA8ePMDBwYFq1apRp04d6tWrh6WlJV999VWi7+MXX3yBv78/ZcuWpXr16jg4OPDJJ58QEBBAhw4dkqyvpVQq2b17N9WrV+fYsWPY29tjb29PvXr1qFixIhYWFnTo0IHDhw8nq70P2draJvhq2rRpqtrMSD169ABillipXLkyTk5OODk56e3VTUznzp0pUKAAZcqUoUCBAvHOPaOeKYx9nQ8dOhRra+t41/m0adMSfSY2p0r3pLFSpUrY29vj4uJCiRIl2LJlC69fv+bvv//m66+/jrNIqhBCfIwqFq3IpcmXGP7JcN22Xdd3UW12Nc7fP5+FkQkhsiPtUNOOHTtiaWmZZHltb2PsIaolSpTg2rVruLi4UKNGDXx8fLhz5w7W1tYMGDCAyZMnx2nD2NiYPXv2sHnzZpo3b054eDju7u4olUratWund3jeiBEjuH79OgMGDCB//vzcunULLy8vbG1t6d27Nzt27GDAgAF6Yx4/fjwbN26kaNGi3Lp1C4VCQadOnbh06RJNmjSJV75x48Zs2rSJmjVr8vz5c06fPs2pU6fw8/MDwMLCgrNnzzJgwAAsLCzw9PQkIiKCb7/9lgsXLiQ5iY2trS2XL19mwIABvHjxgkePHlG+fHlmzpzJrl27UvQ8W+HChblw4QK//fYbTZo04c2bN7i6uhIcHEydOnWYNWtWvEXkk+vNmzcJvt6+zX43Ivv378/8+fOpUqUKDx484NSpU5w6dSrZky5pBQUF8ebNG/z9/fWee2qfrU2OESNG4ObmxpAhQ/Re59u3b4/XM54bpPtEOLdv38bExIRmzZpRsWJFzM3NCQkJ0c04JIQQAvIY5WFJzyVYhliy4vYK3oa+5Yn/E5r80IRZnWYxse1EVEpVVocphMgGNm/erOs1TI4xY8YwZsyYeNvz5s3LxIkTmThxYpztCc32qFAo6NOnT7w1IRNTqVIllixZkqoZa/v06UOHDh2SXbd37960b98+wfKFCxdm/fr1QPyZdGfOnMnMmTPj1Zk4cSLz5s3TtRd72K62DX1LyDk5OfH27VvdjLUfMjY2Zvjw4QwfPlzv/pRwcnJK8SMNCZV/+PBhnJl2k1sPwM7OTu/+hLZrffHFF4wbNy5VE8nEbjc5syOfPHlS7/a1a9fqrlN9Ero+tCpVqsTKlSv17pPZU5Np3rx5eHh44O7uzs6dO4mOjkahUJA/f/54azdWqFABlUq+FAkhPl71CtVj6KdDcV7vzBmvM0Sro5m6dyrH7xxn05BNsqajEEIIIbJcuieNse9evX//nps3b+Lu7q57rVq1StcFbWJiQmhoaHqHIIQQOUpx6+L8890/zD00lzkH56DWqDnheYKqs6qybuA62ldpn9UhCiGEEOIjlu5JY2zGxsbUrFmTmjVrxtn+5MkT3Nzc8PDwyMjDCyFEjmGgMmBmp5k0Ld+Uvqv68jzgOa/fvabD0g582+JbXLq6YGxonNVhCiGEEOIjlOLBxNbW1owaNSpNBy1RogSdOnVi6tSpaWpHCCFym0/Kf4L7DHc6Vu2o27b42GIazG+A1wuvLIxMCCGEEB+rFCeNAQEBKZ4WVwghRPLZmNmwb8Q+fun1C0YGRgBcf3KdGnNqsPHCxiRqCyFEzqHRaGSdWiFygHRdcsPS0pIRI0akZ5NCCPFRUigUfN38ay5NukT5QuUBePf+HQPWDGDA6gEEhwdncYRCCCGE+Fika9IYHBzMjRs30rNJIYT4qFUrUY1rU68xsOFA3baNFzdSd35dHgQ+yMLIhBBCCPGxSNekUaSfZcuW4ejoSO3atbM6FCFEFstrnJc1zmvYMmQL5iYxC1Lff3mfCWcn8Ms/v8jQLiGEEEJkKEkas6kRI0Zw+/Ztrly5ktWhCCGyid51e+M6zZVaJWsBEKWJYuzOsXRc2pFXwa+yODohhBBC5FaSNAohRA5SpkAZzk08x5gWY3TbDt04RNVZVTlx90QWRiaEEEKI3CpVSeOjR49YsmQJ//zzD69fv07vmIQQQiTCyMCI+V3nM6PODAqYFwDAN9CX5ouaM3XPVKKio7I4QiGEEELkJqlKGp8/f86YMWNo2bIlBQsWpEiRIrRp0waAwMBAHj58mK5BCiGEiK96gepcnXyVFhVaADFT139/+Hs++eETHr95nMXRCSGEECK3SHHSuHXrViZMmEDr1q0pWLAgGo0GPz8//v77bwBu3ryJvb09FhYWNGjQgOHDh7N8+XLOnz/Pu3fv0v0EhBDiY1bIshB/ffMX87vOx0BlAMD5B+epNrsau6/vzuLohBBCCJEbGKS0Qs+ePenZs6fu91evXuHm5oa7u7vuX09PT969e8fFixe5ePEiCoVCV75UqVLcv38/faIXQgiBUqlkQtsJfFLuE3qv7I33G28CQgP47PfP+PKTL1nUYxEGihT/uRdCCCGEAFKRNH4of/78tGzZkpYtW+q2vX//nlu3bsVJJj08PAgMDOTRo0dpPaQQQgg96pWph+t0V77Y+AV/XP0DgOWnlnP2/lk2DtyYxdEJIYQQIqfKkFvPxsbG1KhRgxo1asTZ7u3tjbu7e0YcUgghBGBlasW2Ydto5diKr7d9TVhEGDef36TBggY4OzjTVtM2q0MUQgghRA6TqUtu2NnZ0blz58w8pBBCfHQUCgWDGw/m6pSrVC5aGYCwyDB+v/E7fVb3ISA0IGsDFELkOnZ2digUCry9vTPleM7OzqhUKrZs2RJn+8yZM1EoFMycOTNT4hA5X3h4OCVLlsTR0RG1Wp3qdmbPno1CoeDo0aPpGF32Ies0CiFELuVYxJFLky/xldNXum27ru+i2uxqXHhwIQsjE0KkhjYxS+q1bt26rA5ViCzl5ubGzJkz2bt3b5Jlly5dypMnT5g6dSpKZepTo1GjRmFpacnkyZPRaDSpbie7kqRRCCFysTxGeVjWdxl/DPsDM0MzAB6/eUzjhY1xOeySpruqQoisYW9vT8OGDRN8FSxYMKtDzDK2traUL18eW1vbrA5FZCE3NzdmzZqVZNIYFBSEi4sLpUuXjjPRZ2pYWVkxfPhwrl+/zp49e9LUVnYk0+kJIcRH4NNqnxLYJJB13us49+Ac0epoJu+ZzPG7x9k4aCOFrQpndYhCiGSaPHkyzs7OWR1GtjRy5EhGjhyZ1WGIHGLz5s28ffuWUaNGoVKp0tze559/zvz581m5cmWu+29UehqFEOIjkT9Pfo5+c5TpHabrlkI6fuc4VWdX5c8bf2ZxdEIIIUTmWr16NQC9e/dOl/YcHByoWrUqFy9exNPTM13azC4kaRRCiI+IgcqAWZ1n8c93/1DEqggAr4Jf0e6Xdnz3x3dEREVkcYRCZB4vr7dMmnSa3r0PMmnSaby83mZ1SOluyJAhKBQKWrZsqfc5q+nTp6NSqWjQoAHv37+Ps8/f358ZM2ZQvXp1LCwsMDMzo0KFCnz55Ze4urom6/hJTZDj5OSEQqHg5MmT8faFhIQwadIkSpUqhYmJCXZ2dnz33Xe8e/cuweMlNBHOunXryJcvHwMHDuT9+/fMnDmTsmXLYmJiQvHixRkzZgwhISEJtvvHH3/QoEEDihYtSoECBejUqROurq6cPHkShUJBs2bNkvN26Ny8eZO+fftSvHhxjIyMsLKywt7enj59+nDkyBG9de7evcugQYOws7PD2NgYGxsb2rdvzz///JPgcV6+fMkXX3xBkSJFMDExwcHBARcXF6KionByckKlUnH27Nk4dWJ/Jh4eHnTu3BlbW1ssLCxo0aIFV69e1ZU9c+YMbdq0wdraGnNzc9q3b8/du3cTjCc0NJSff/6ZOnXqYGFhgampKdWqVeOHH36Id/1B3M8zMDCQb775hhIlSmBsbEy5cuX44YcfiIqKilPHzs6OgQMHArB+/fo4z/s6OTnpyt2/fx9XV1fKlClD+fLl9car/ZxKlixJgQIFsLa2TvJzat++PRBzzeQmGTI89dKlS4SEhKT4PyAhhBCZw6m8E+7T3Rm0fhAH3A8AsOjoIk7dO8WmQZuyODohMt7atTcYMuRvFArQaEChgIULr7B6dWucnStldXjp5ueff+bEiRMcO3aMJUuW8M033+j2Xbp0iXnz5mFkZMSKFSswNjbW7XN3d6ddu3b4+PigVCpxcHDAyMiIhw8fsmLFCsLDwzN0wh3t98jLly+jUCioWLEiarWaxYsXc/LkScqVK5eqdiMjI2nVqhVnzpzB0dEROzs7vLy8WLx4MTdu3GDHjh3x6syZM4fp06cDULhwYYoWLcrJkydp0KAB06ZNS3EMly9fxsnJibCwMCwtLXF0dCQ6OpqnT5+ydetWQkNDadOmTZw6f/zxB/379yciIgJzc3McHR3x8/Pj8OHD/PnnnyxZsoSvv/46Tp1nz57RsGFDnjx5gqGhIZUqVSIkJITJkydz6dKlJOO8dOkSs2bNwtjYmDJlynD//n2OHz9Os2bNuHDhArdv36ZPnz5YW1tTqlQp7t69y+HDh7ly5Qo3btyI92zt8+fPadWqFbdv38bAwAA7OzsMDQ25desW48ePZ//+/fz999/kyZMnXiyBgYHUr18fLy8vKlWqhEql4sGDB8ybN48XL16watUqXdnatWtjZGSEl5cXBQoUwN7eXrevcuXKup/Pnz8PQJ06dZL1OWkTy8Q+J+3xISahzk0ypKfR2dmZVq1aZUTTQggh0omtuS37RuxjSa8lGBkYAXDt8TXquNThzPPc9T87IWLz8nrLkCF/o1ZriI7WxPl38OC/uH8/9/Q4mpmZsXHjRlQqFZMmTeLWrVtATI9P//79iY6OZvbs2XG+TAcFBdGpUyd8fHxo06YNjx8/5tatW7i6uhIYGMjp06dp2bJlhsY9bdo0Ll++TMmSJblx4wY3btzQxfDixQt27dqVqnZ37tzJ69evuXv3Ljdv3uTu3bucO3cOCwsLjh07xrFjx+KUv3z5sq63a9myZdy6dYtLly7h5+dH9+7dU7W0x5w5cwgLC2Py5Mm8fPkSNzc3bty4QUBAAFeuXKFHjx5xynt4eDBgwACUSiX/+9//CAgIwNXVFV9fX/bv34+5uTnffvttvLXQv/zyS548eUKtWrV4+PAh169fx9PTk9OnT3Pq1Cld0pSQadOmMXz4cF68eMHVq1d58eIFnTt3Jjg4mJEjRzJs2DAWLFiAr68v165d4/nz59SpU4dXr16xaNGiOG2p1Wp69OjB7du36dq1K0+ePMHLy4vbt2/z6NEjGjduzNmzZ3XJ+YeWLVtG/vz5efz4Ma6urjx69Ii9e/eiUqlYvXp1nN7NHTt2MHnyZADatm3L2bNnda+lS5fqyl2+fBmAmjVrJvk5+fn5cebMGdzd3RP8nLS0SeOFCxeIjo5O9D3OSTJsIpzcONWsEELkNgqFglHNR9HYvjG9/teLey/uERwezE+uP+G/yZ9f+/yKqbFpVocpPnJNm+7l1avwBPdrNGoUCv33wfXtCwx8j1qt/3uKWq2hevUNWFoa692fUoUK5eXq1f7p0pbWwIEDdcPv9Hn79i1WVla63xs0aMD48eNxcXGhX79+XLp0iTFjxuDl5UWTJk3iDflcsWIFT548oUKFCuzduzdODyRA48aN0/V8PhQcHMyKFSsA+O2336hYsaJuX9WqVVm6dCldu3ZNVdtRUVGsX78+Tk9lvXr1GDJkCIsWLeLYsWNx2l68eDFqtZohQ4bw5ZdfEhQUBICpqSmrV6/mwoUL3L9/P0UxeHl5ATBhwgSMjIzi7KtVqxa1atWKs23WrFm8f/+eJUuWMHTo0Dj7OnbsyPfff8/XX3/NL7/8ontGz9PTk0OHDmFoaMgff/xBsWLFdHUaN27M4sWLE72GACpVqsSPP/6oewbe2NiYhQsXsm/fPk6ePEnnzp0ZM2aMrryVlRWzZ8+mTZs2HDlyhAULFuj2HTp0iPPnz1O7dm1WrFiBtbW1bl+xYsXYvn075cqVY/ny5cyePTteb6OBgQGbN2+mSJEicc69Xbt2HDhwgD///BMHB4dEz+dDT58+BWJ6j/X58HMKD//vb5C+z0mrYMGCKJVKQkNDef36da6ZzVhmTxVCCEH1EtW5NvUaX23+io0XNwKw9vxaLj26xPYvtlOpaO4ZridynpcvQ/HxCc204717F8m7d5GZdryUsre3p0CBAgnuNzCI//Vu1qxZHDlyBFdXVzp06MDRo0exsLBgw4YN8dam27dvHwCjR4+OlzBmhjNnzhAaGkrJkiVp27ZtvP2dO3emaNGiPH/+PMVtV6tWTe+XfW3v0IfPXmp7HvUlWIaGhvTr1y/FvY3FixfH09OTP/74gyFDhiRaNiIigsOHD6NSqRKcjbNTp058/fXXnDp1SrdNu8C8k5MTpUqVilenV69efPXVV4SFhSV47IEDB+oSRq1y5cphampKaGgogwcPjlenevXqADx8+DDO9t27dwMxs4vquz4LFy5M7dq1OXHiBNeuXaNRo0Zx9rdp0yZO4hv7eAcOHIh3vOR48+YNQJwENrbYn9OgQYOS3a5SqcTCwoKAgABevXolSaMQQojcxczEjA2DN+BUzokRm0cQHh3Obd/b1P6+Nr/0+oUhjYfE+wIhRGYoUMA0wZ5ESF1PY2JJoZmZYbr2NKa31Cy5YWhoyKZNm6hZs6Yuofjll18oWbJkvPVa79y5A8T0wGUFbQ+Pg4OD3r85SqWScuXKpSppLF26tN7t2iQ89mQ4b9++5fXr1wBUqVJFb72Etifmm2++4dixYwwdOpSffvqJ1q1b06hRI5o2bYqNjU2csvfu3SM8PBwjIyPatWuntz3t6L7Y74f2PUwoPhMTE+zt7fHw8EgwzjJlyujdbmtry5MnT/Tuz58/P0C8yYpu3LgBwPLly9m4caPexPHevXvxziOpWBI6XnJoJ95J6MbIh5+Tk5MTTZs2pXnz5vE+pw/lyZOHgICARJPynEaSRiGEEHH0r9ef8CfhLPdazo3nNwiPDGfYxmEcv3ucFf1WYGlqmdUhio/MiROfYmFhEa9HDGKelQoKCtK7P6F9Xl5vcXBYo3eIqlKpwNV1AGXL5kv/E8liZcuWpUSJEty7dw9LS0s+++wzveW0QzBjD3HNTNoEQJsQ6JPa3pu8efUn8drrI/bjVdoEUqFQYGZmFi+5BjA3N09xDO3bt+fQoUN8//33XLx4kbt377JkyRIMDAzo0qULixcvpmjRokDMBDAQ0+N47ty5RNuNPXxSG3ti8SUVu6mp/kcTtIm8vv0J3VjUnsfNmzcTPSagN9FKyeeWXPnyxfw3HhAQoHe/vs9p+fLlej+nD719G/NctK2tbYrjyq5kyQ0hhBDxFDUryrnx5/jK6Svdtu1XtlNjbg2uPLqShZEJkXb29vlYvbo1SqUClUoR59/Vq1vnyoQRYMqUKdy7dw+lUklgYCDffvut3nLaZCKhL9MpoU0iEvpSr2+ZCzMzMwBevXqVYLsvX75Mc2xJ0SYqGo0mweU4goODU9V2u3btOHfuHK9evWLv3r18/fXXWFlZsWPHDjp27EhkZExPuPa9KFq0KBqNJsnXh7En1gOX2thTQ3sef/31F2/fviU6OjrBc0hpL3pqaRM6f3//BMtoP6cXL16wefNmRo4cqfdzii08PFyXwCd24yOnkaRRCCGEXiaGJizru4xdw3dhZWoFwMNXD2mwoAGLjy1GrYl/112InMLZuRKenoMYN642PXqUZ9y42nh6DspVy23Edvr0aRYtWoSpqSlHjx7FysqKVatWceDAgXhltRPPXLx4Mc3H1SYvCSWADx48iLdNu0SCp6en3mRTrVZnysLp+fLl0yUWCQ3j1A67TC1ra2s6d+7ML7/8ws2bN7G0tMTV1VW3FqK9vT2Ghob4+vommtx8SDvRT0Jxv3//XjeENTM4OjoC6GbvzWjJeZRCO2Owdjh2YqytrWnXrh1LlizR+znFpj1He3t7XbKcG0jSKIQQIlFda3TFdZor9UrHPN8UFR3FhN0T+P7K97x+9zqLoxMi9cqWzYeLSxO2bu2Ai0uTXNvDGBQUxOeff45areaHH36gWbNmLFu2DIAhQ4bES+g+/fRTAJYuXUpERESajq19hvDKlfgjFHbt2qUbxhdbo0aNMDU1xdvbm7/++ive/v3796fqecbU0C4tom9NyqioKDZv3pxuxypYsKBu0hofHx8gZgho69atUavV/PLLL8luSxv3iRMnePz4cbz927dvz9Tn7bQz0v7vf/+LM4w2o2hnX03sHLXP7OpL/BKj73OKTbuUx4eT+eR0kjRmgqioKKpUqYJCoWDbtm1ZHY4QQqSYna0dp8edZkKbCbpt115eo9b3tTjleSqRmkKIrDZq1Ci8vb1p1aoVX30VM+S8T58+9OzZk5cvX/LFF1/EKT9s2DBKlizJrVu36Nq1a7wE7ezZs8lOlrSzny5cuDBOz9aVK1cYNWoUhoaG8epYWFjolpb46quv4vQEeXh4JFgvI3zzzTcoFApWrVrFypUrddvDwsIYOnQojx49SnGbvXr14tChQ/ES8p07d3Ljxg0UCoVuFlKIWS/Q2NiYuXPnMn/+/HiJkK+vL0uWLGH58uW6beXKlaN9+/ZERkbSo0ePOMnNuXPn+PbbbzPtPQTo0qUL9erV4+7du/Tu3TveMiXv37/n0KFDKZqlNDGxb1aEhuqfeblOnTrkzZuXq1ev6k1kU/o5aWnXv8zotUwzmySNmWDJkiWJjssXQoicwNDAkPmfzefI6CPkN4t5TsMn0IdmPzVj1v5ZRKtzzyLGQmRn8+bNo1GjRgm+YvdI7dmzh/Xr15MvXz7Wrl0bp53ff/+dIkWKsG/fvjhJoLm5Ofv27aNQoUIcOnSIEiVKUKlSJapXr46VlRWNGzfWzcCalIEDB1KxYkWePHmCo6MjlStXpnz58tSpU4cmTZrQoEEDvfXmzp1LzZo1efToERUrVqRKlSpUrlyZatWqkT9//gQn8UlvderUYebMmajVar788ksqVqxIvXr1KFSoEFu3btUtt6FSqZLd5pEjR+jQoQMWFhZUrlyZOnXqUKRIEbp37050dDRTp06NM8trtWrV2Lp1K8bGxkyaNAlra2uqV69O3bp1KVGiBEWKFOGbb76Jt1zI8uXLKVGiBJcvX8bOzo6aNWvi4OCgu07q168PoHeCqfSmVCrZvXs31atX5+TJk5QvXx57e3vq1atHxYoVsbCwoEOHDhw+fDhdjlejRg3s7e159OgRJUqUoEGDBjg5OfHNN9/oyuTNm5eePXsSEhLCoUOH4rUR+3OqWrUqzZs3p1ixYgl+ThDzPOOBAwfIly+frsc+t5CkMYM9f/6cWbNmxVngVAghcrLWlVpzdcpVqtjGTOWu1qiZeWAmzX9qzvO3mTNkTIiPmZeXF+fOnUvwpV2z7sWLFwwbNgyA3377Lc7C6IAukVQoFEyaNClO0lG1alVu3rzJpEmTqFChAo8ePeLBgwcUKVKE4cOHJziJzodMTEz4559/GDx4MNbW1nh5eaFUKvnxxx8T7a00MzPj5MmTTJgwgRIlSuDp6UlwcDDffvstp06dytT1I6dPn8727dupU6cOb9++5f79+zRq1IizZ89StWpVXbzJtX79eoYNG4a9vT0+Pj54eHhgampKly5dOHXqFLNnz45Xp0uXLty+fZvRo0djZ2eHp6cnt2/f1tVbv349EydOjFOnWLFiXL58mWHDhmFjY8OtW7dQq9XMnj2bnTt36nrgUjMDbGoULlyYc+fO8eOPP9KkSRPevHmDq6srwcHB1KlTh1mzZnHixIl0OZZSqeTQoUN069YNlUrF5cuXOXXqFG5ubnHKaXu09V2LH35Ot27dSvJzOnjwIMHBwfTs2TNL1jjNSLLkRgYbPXo0nTp1okmTJlkdihBCpJvCloWZUXcGN5U3mXVwFmqNmlP3TlFtdjXWD1pPS4fcNSxHiOzgw56kpBQsWDDJkU6tWrUiKipKtzRJbDY2NsybN4958+YlOzbtMiexFShQgFWrVumtd/LkSd3PHy5pYWZmxvz585k/f368euvWrWPNmjXxjjVz5kxd719szs7OdO3aNd45ajk5OREdHR2vPa0ePXrQrVu3eEu4/PTTTwDY2dnpradP586d6dy5c7LLa5UsWZKff/45RXUKFizIihUrWLFiRZztarVaN1y4ePHicfbF/kz0Seo6TGz5C2NjYwYPHsy3336brB7OhD5PrT59+vDll1/qbcve3p4dO3Yk2n6dOnVo2bIlBw4cwNvbO87nGPtzSmxpn9iWLl2KiYkJI0aMSPzEcqAc29P46NEjVq5cydChQ6latSoGBgYoFArmzp2brPqHDx+mRYsWWFtbkzdvXmrUqMHSpUv1rsGTWkeOHOHvv//mhx9+SLc2hRAiu1ApVExqO4lT405RLF8xAF6/e037X9ozYdcEItUJL54uhBA5XXR0NBs2bABIcJhtdrV7924CAwNxdHTMsvU4s4sFCxYQHR2drJsjiTl9+jSnT59m5MiRFCtWLJ2iyz4yJGns2LEjffr0yYimdZYsWcKwYcNYtWoVHh4eREcn/1ma+fPn0759e44fP06+fPkoW7Ys7u7ujBo1ii5duqRL4hgeHs7IkSOZMWMGhQsXTnN7QgiRXTWyb4T7DHc6Ve2k27b4+GImn5vMw9cPszAyIYRIu9WrV3PmzJk42/z9/XF2dsbDw4MiRYrQsWPHLIouYS9evGDhwoW8efMmzvYjR47w5ZdfAsSbBOljVL16dVauXEmpUqXSlAMEBAQwY8aMeMOEc4sMGZ66cOHCjGg2DltbWzp06ECdOnWoXbs2q1atYteuXUnWu3DhApMnT0apVLJp0yZ69+4NgLu7O61bt2b//v0sWrSIsWPH6uoEBwcna2rnwoULY2lpCcQ8pG5kZMSoUaNSeYZCCJFzWOe1Zu+IvSz9Zynjdo4jIioCr0Av6syrw8oBK+lRu0dWhyiEEKly5swZhgwZgpmZGXZ2diiVSu7cuUNkZCSmpqZs3LgRExOTNC9Pkt7CwsKYMGECEydOpFixYhQqVIhnz57h6+sLQPv27Rk+fDghISFZHGnWGzx4cJrb6NSpE506ddI7RDs3yLHPNE6dOjXO78ldymLu3LloNBqGDh2qSxgh5oHvRYsW0bdvX+bPn8/o0aN1UxEfOnQoTtmErF27FmdnZx4/fszChQvZvHmz7j9E7cUTGhpKYGCgLrkUQojcQqFQMKr5KBqVbUTPFT25/+o+QeFB9PxfT47fPc7iHosxNTbN6jCFECJFPv/8cyIjI7l48SLe3t5ERERQpEgRmjdvzvjx4ylfvny6Pt6UXgoUKMCMGTM4cuQIjx49ws3NDVNTUxo2bEj//v0ZPHhwpsycKnKHHJs0pkZQUBDHjh0D9N9R6N69O8OHD+fNmzecOHGCVq1aATHrtPTq1SvZx3n06BHv37+nW7du8fYNHjyYr776KlMWNhVCiKxQo2QNLk26RJcfu3Da5zQA/zv9P87dP8cfX/yBfX77LI5QCCGSr2nTpjRt2jTZk6FkF6ampklOJJMdk12RPWX/Kz4dubq6EhERgYmJCTVq1Ii339DQkNq1awNw6dKlVB+nWrVqnDhxIs5r69atAEybNo2///471W0LIUROYG5izrfVv2Vl/5WYGsX0Lt7yuUWt72ux9tzaRGfXE0IIIUT28lH1NGqnFi5RogQGBvpPvXTp0hw/flxXNjWsrKxwcnKKs007PbGjo2Oiy2+8f/+e9+/f637XDmuNjIwkMjLnzESojTWzYk7P46WlrZTWTUn55JRNqkxi+zP7M0svcq1l32tNoVDQp1Yf6tjVoe/qvtz0uUlYRBhfbP6CxkUaU69JPWzMbZIVf3Yg11rGXWtRUVFoNBrUanW8ng/tDQbt/g8ltj+putlVZsednsdLS1sprZuS8skpK9eaXGvpUT4115parUaj0RAZGYlKpUrW97XMptDkktu9zs7OrF+/njlz5sR73lHrhx9+YPz48dStW5eLFy/qLTNhwgQWLlxIhw4dOHDgQLrF5+3tTalSpdi6dWuiQ11nzpzJrFmz4m3fsmULpqbyLJAQImd6H/2etbfXcuTxEd22QqaFGFtjLGWtymZhZCI7MDAwoFChQhQvXhwjI6OsDkcIITJVREQET58+xc/Pj6ioqETLhoaG0qdPHwIDAxNcdzQjfFQ9jdrnCBP7H5KxsTEQM+NUerKzs0vWcKxJkyYxZswY3e9BQUEUL16cpk2bYmOTs+7IHz16lJYtW+omFMopx0tLWymtm5LyySmbVJnE9mf2Z5Ze5FrLOddal45d2Hl9J19u+pKg8CD8Qv2YdGESLl1c+Lrp1ygUimScedaRay3jrrUGDRrg6+uLmZkZJiYmccpoNBqCg4MxNzfXe40ktj+putlVZsednsdLS1sprZuS8skpK9eaXGvpUT4111p4eDh58uShSZMmmJiYJPp39MMlVDJLpiaNz58/Jzo6mhIlSmTmYXW0/yNKbEpk7dDQPHnyZEpMHzI2NtYlrrEZGhrmqC/yWpkdd3oeLy1tpbRuSsonp2xSZRLbL9da5h/vY7rWetftTc0SNemwqANeAV5ERkcydudYTt47ybqB67Axy/43x+RaS//yBgYGKBQKlEplvAlGtMO7tPs/lNj+pOpmV5kdd3oeLy1tpbRuSsonp6xca3KtpUf51FxrSqUShUIR7++mvr+jWfUdLVOv6mrVqlG6dOnMPGQc+fLlA+Dt27cJltHu05YVQgiRvkrZlmJeg3mMafHfqIqDHgepOqsqZ+6dSaSmEEIIIbJCpt8KycpHKO3tY6Z5f/LkSYLjhR8+fBinrBBCiPRnqDRkftf5HB51GFszWwCeBzzH6Ucn5hycQ7Q6OosjFEIIIYRWzuk/TwfVq1fH0NCQ8PBwrl+/Hm9/ZGQkV65cAaBu3bqZHV4cy5Ytw9HRUbcEiBBC5EZtK7fFfYY7Tcs3BUCtUTN933RaLW6Fb4BvFkcnhBBCCEjFM43z5s1L9cHSe3KZlLKwsKBFixb8+eefrF69mjp16sTZv2PHDoKCgrCxsYm3ZEZmGzFiBCNGjCAoKAhLS8ssjUUIITJSEasiHB1zlHmH5zFz/0zUGjX/3P2HqrOrsmHQBtpUapPVIQohhBAftRQnjVOnTk31bEcajSbLZ5SaMmUKR44cYdWqVTg5OdG7d28A3N3ddbOWjh8/Xqb8FkKITKRSqpjWYRqflPuEPiv78DzgOa+CX9F2SVvGtR7H959+j6FBzpugSQghhMgNUpw0qlQq1Go1Xbt2xczMLEV1t23blujMpSlx7tw5OnfurPv93bt3ALi4uPDzzz/rtru6ulK8eHHd7w0bNtSt5dinTx+mTp2KmZkZN2/eRK1W0759e7777rt0iVEIIUTKNCnXBLfpbgxcN5CDHgcB+OGvHzh97zRbh26lVP5SWRyhECI3mz9/PgsWLGDGjBnMnDkzq8OJQ7vmd8mSJfH29s7qcMRHJsVJY8WKFblx4wZDhw6lVatWKap78OBB/P39U3pIvSIjI/WuUxIaGkpoaKju9+jo+JMpTJkyhapVq7J48WKuXbuGn58flStXZuDAgYwcORKVSpUuMQohhEg5W3Nb9o/cz5LjSxi/czyR0ZFcenSJ6nOqs+rzVXSr2S2rQxQiS9jZ2fH48WPd7wqFAjMzMywtLXFwcKBu3br06dMHR0fHLIzy43Py5EmaNm0aZ5tCocDc3Jzy5cvTpUsXRo8ejampaRZFmLAlS5bw4sULxo8fj7W1dVaHI7KxFE+Eo30O8OrVq+keTEo4OTmh0WiSfNnZ2emt36FDB44fP05AQAAhISG4ubkxevRoSRiFECIbUCgUfNPiG85PPE+Z/GUACAwLpPvy7gzfNJywiKx9Rl6IrGRvb0/Dhg1p0KAB5cqVQ6VScezYMb7//nsqVqxIt27dsmwB8I9dw4YNadiwIfXr18fc3JwrV64wefJk6tSpk+aOE0NDQ8qXL0+ZMmXSKdqYpHHBggUEBASkW5sid0pV0qjRaLh06VKKD5aVy23kNDJ7qhBCQC27Wlyfdp1etXvpti0/tZx6LvW443snCyMTIutMnjyZs2fPcvbsWa5evYq3tzevXr3i559/xtbWll27dtGoUSMCAwOzOtSPzunTpzl79iznzp3j2bNnHDt2DCsrK27dusXkyZPT1HbRokW5e/cux48fT6dohUi+FCeNLVq0YPTo0fFmHk2O/fv3888//6S43sdoxIgR3L59W7cEiBBCfKws8liwZegWVg5YSR6jPAB4PPOg1txarD23Vm5ICgHY2toyevRorl69SuHChbl79y7ffPNNVof10WvevDnTp08HYPv27ajV6iyOSIjUSXHSaGdnx+LFi5kyZUqKD9agQQM++eSTFNcTQgjxcVMoFAxpPIQrk69QsUhFAEIjQhm0bhD9V/cnODw4iyMUInsoWbIkv/32GwCbNm3i6dOncfbb2dmhUCjw9vbmxIkTtG3blgIFCpAvXz5OnjypK/fkyROGDx9OqVKlMDY2xtbWlrZt2/Lnn3/qPe7MmTNRKBTMmjWLFy9eMGTIEIoUKYKJiQkVKlTgxx9/JCoqKl69devWoVAocHZ2Jjg4mClTplC6dGlMTEwoXbo0U6ZMiTNXxYfevn3L1KlTqVSpEnnz5sXc3Jx69eqxcuXKBBO0qKgoFi5ciIODAyYmJhQtWpShQ4fy4sWLpN7eVGnSpAkAAQEBvH79Wrc9JCSEuXPnUqVKFfLmzYuFhQV169Zl2bJlet8rb29vFAqF3kevFAqFboWCP//8kyZNmmBubo6lpSVt27bF1dU1Tnnt+659RrZMmTK6NhQKRZxr4ezZs3Tp0oVChQphaGiItbU1FSpUYMiQIVy8eDGtb4/IIVKcNAohhBBZpWLRilyefJlhTYbptm2+tJkac2pw/fH1LIxM5DQR797hvmIFWxo0YGWZMmxp0AD3FSuI+Hc29pysU6dOFClShKioKP7++2+9ZbZu3UqLFi24dOkSpUuXpkiRIrp9ly5domrVqixfvpxXr15RuXJl8uTJw5EjR2jXrp2u50yfN2/e0Lx5czZs2EDBggUpWbIkd+/eZdy4cXTv3j3BRO79+/c0bdqU33//HTMzM+zt7fH29mbevHk0b95cb+J469YtGjVqhIuLC15eXtjZ2VGwYEEuX77MsGHD6NmzZ7yRCNHR0XTt2pUJEybg6elJyZIlyZ8/P2vXrqVevXrpNmFjbPpGQ7x69Yr69eszbdo0bt26RdmyZSlWrBiXL19m5MiRtGvXjvDw8BQfa/ny5bRv35779+9Trlw5oqOjOXLkCE2aNOHu3bu6cgULFqRhw4YYGxsDUKtWLd3zmA0bNtStEb5v3z4++eQT9u7dS1RUFFWqVKFgwYI8ffqU1atXs23btlS+KyKnkaRRCCFEjmJqbMqK/ivYNmwbFnksALj/8j7159fn139+leGqIklv7t5lTfnyHB0+HJ+LFwl8+BCfixc5Onw4a8qX502sL9c5kVKppH79+gAJPuYybdo0ZsyYwcuXL7l48SI3b96kfv36hIaG0qNHDwICAujRowe+vr5cvXqVp0+fsm7dOlQqFXPmzEmwx3HFihVYWlpy7949XF1d8fT05NSpU1haWrJ3715+//13vfV27tzJy5cvOXXqFB4eHty4cQMPDw+KFy/OxYsXmTFjRpzyISEhdOnSBR8fH77++mtevXrFrVu3uH//Pjdv3qRixYrs3LlT1+uq9dtvv3HgwAHy5cvHmTNn8PT0xM3Njfv372NhYcG6detS+G4n7cyZMwBYWlpia2sLwPDhw7lx4wYVK1bk3r17uLu76x5LKliwIEePHo13zsnx3XffsWbNGnx8fLh27Rq+vr40b96cd+/exVlCpG3btpw9e5ZChQoBMUNntc/Jnj17lurVqwMx67Or1Wp+++03Xrx4wbVr17hz5w7BwcGcOHGC5s2bp/HdETmFJI1CCCFypJ61e+I6zZVaJWsBEBEVwddbv+az3z/jbcjbLI5OZFcR796xo3lzQl68AI0m5gW6n0NevGBH8+Y5vsdRu0b1y5cv9e7X9hgaGMSsvqZQKDA2NmbLli08efKEggULsn79eszNzXV1Pv/8c7744gsgZl1sfaKiovjtt9/iDKFs0qQJc+bMAeDHH3/Ue2MnKiqKJUuWULlyZd22SpUqsWzZMgB+//13goP/G4a+Zs0aHjx4QIcOHfj555+xsLDQ7XN0dGTLli0oFAoWLVqk267RaHS/z507l0aNGun22dnZsXbtWiIjI/WeV2odP36c2bNnA9CtWzeUSiVeXl7s3r0bgI0bN8aZDbVWrVosXboUiJkUMfY5J8fgwYNxdnbW/W5ubs7ixYsBOHLkSIrj9/LyIl++fAwfPjzOCgMKhQInJyc6duyY4jZFziRJoxBCiByrdP7SnJt4jjEtx+i27XHdQ/U51bn4QJ61EfHd2byZd76+aPSs4wygiY7mna8vd7ZsyeTI0lfevHkBEkw6BgwYoHe7djjr0KFDMTExibd/9OjRAJw/f56QkJB4++vXr0/VqlXjbR80aBAmJiZ4e3vj6ekZb3/RokXp3LlzvO0dOnSgRIkShISEcO7cOd12bdLVv39/vedRpUoV7OzsePjwIc+ePQPA09OTJ0+eYGJiEiex0qpRo0aaZ61v0qQJjRo1omHDhhQvXpwWLVoQEBBAuXLldIn20aNH0Wg0NGrUSNejF9tnn31GsWLF4p1zcgwZMiTetsqVK2NiYkJgYGCKl2IpXrw4AQEBHD16NEX1RO4jSWM2JUtuZA2v4Ahm3XgFwKwbr/AKjsiwYx31fUeLf2IeQG/xz2OO+qbtrnZmxp5dfIznLOIzMjDipx4/sX/kfqzzxixO/fjNYxr/0Jgf//pRZisUcdxavz5dy2VX7/7tKY3dAxdbhQoV9G6/d+8eENNbp4+9vT1GRkZER0fz4MGDePsdHBz01subN6+u91N7jNjKly+PUhn/a6lCoaB8+fLx6t24cQOI6fHUJmofvrSTzjx//hxAF2/JkiUxNTXVG2e5cuX0bk+uc+fOce7cOc6fP09AQADVq1dn1qxZXL16lfz588c5j4TeY6VSqXsf9b1XiUloDUftsd+lsAf922+/RaPR0KpVK2rVqsXEiRM5ePBgintARc4nSWM2JUtuZL61DwNwOPiAJfdiHoJfcs8fh4MPWPcwIN2PNeiSD61OPuWKf8xD7lf8w2l18ilDLvmkqr3MjD27yIpzliQ1e+tYtSNu091oWLYhAFHRUYzbOY6Ov3bkdfDrJGqLj4VuWGpiNBpC/PwyJ6AM8uTJEwAKFCigd7+2J/JD2qQioXoKhUKXgOhLHBKqBzGTr6RXPe0alG5ubrpE7cOXtnxYWFicc9PGr09i+5IjOjoajUaDRqMhODiY69evM3369DjDfJN6jyHx9yoxCX2u2oQ8pc98f/XVV2zYsIGqVaty7do1FixYQMeOHSlQoADDhg2TtUA/IgZZHYAQ2YFXcARDLvmiBqL//XsarQE1MOiSL37hURQ2MUCpUKAAlArtS4ESUChi7sAo1THDnf7yfYfSwDBmW6xySgVc8w9j7UP9f2RXPwykZj4T6tmaolCgO5YCdEOp7gVHYGCg/nefgsfvEo598CVfyuQ1pJS5Ucz2qJhnNXzDIlFFxrTLv/Fr970Ij8IgSqHbp90P6N0We3vsWnrrJFI3dn39bf/nQRLn3Ci/KWX/Pef0svZhAIMv+ZKHaLaYwmJPf+Z5BrKmbmGcS1ul67FE6hW3Ls7JsSeZsX8GLn+6oNFoOHzjMFVnV2XLkC18Ul6WffrY5S1YkMBHjxJPHBUK8v47QUhOpFaruXDhAkCK19U2MzMDEn4WUqPR8OpVzM2z2ImQlnafPto206OemZkZAQEBXLt2jWrVquntpYxNrVbrzi2xY8VeEiOjJPUeA7rlP/S9V5mtf//+9O/fHz8/P06dOsXRo0fZvn07K1euxNfXlwMHDmR1iCITSNIoBLDmQUBMoqLnO4QGmOSe8P9gYstDNFtNoce554ShSrqCHl9d079OlLbt2n89SnbbaqDJP0/iteFw6GG8NrT7yh18kOrYswM1UPXPh9gYqzBRKTFWKjBRKTBWKjBWaX9Wxt2mVGCsirVNW0elwESpxD8imtHXYz4X7SWi+fc1KJVJqldwBOu9XlObmF7Lz+1tsU/nRDc7iXj3jjubN3Nr/XpCXrzgvaEhN54/p9KAARj9+wUqvRioDPi+y/d8Uu4T+q/uz8vgl/gE+NDsp2bM7DSTye0mo1Lm3GtcpE3Fzz/HJxlry1X8/PNMiCZj7N27Fz8/PwwNDWnVqlWK6pYrV043k6c+Xl5eREREoFKp9A6FvJvAzLOhoaG63k99Q0A9PT31DiXXaDS6ZyBj13N0dOT8+fPcuXOHatWqJXle8N/QzSdPnhAaGqp3iKq+5y3Tm/Y8EnqP1Wq17n1M63DZpChi36VNQqFChejZsyc9e/ZkzJgxVK5cmYMHD+Lr60vhwoUzMEqRHcjwVCEA75DIJEcriZwjNFrD09AovIIjuBn4nqv+4Zx7HcY/L0I57BPCnmfBbH0cxLpHgay4H8CSe29ZeOcNs2++ZorHK8a6vWTktRcMvexH/4s+uoRRHw0w5voLrr4J407ge56ERPL6fRRhUeoEhwF9bMOJdcsbfDmc5/8ubxB+7x7/jBiRocsbtKrYCrfpbjRzaAaAWqNm+r7ptFrcCt8A3ww5psj+KvTti1nhwihU+m8cKFQqzAoXpkKfPpkcWfp4/PgxI0eOBGImuylatGiK6rdu3RqAlStX6l0n8JdffgGgYcOGeodCnj9/Xve8YWxr1qwhPDyckiVL6p5RjO3Zs2d6e6wOHTrE48ePyZs3Lw0bNtRt79q1KxCzxEdyh1yWK1eO4sWLExYWxoYNG+Ltd3Nzy5THglq1aoVCoeDs2bO4urrG2797926ePXsW75wzQp48eYD/hvAml6Ojo24tRx+f1D1aI3IW6WkUArDLa5hgT6MSaFUoL52LmaNGg1oTU0ytAbUm5nc1/450io6Ehw+YWtGWKKUKzb/7dOU0sP5RAL7h+mftAyhooqJrMXNdm5p/66vU0fAS+pa0JEKh+renS8N1/3DuBEXoCx0FUM7ciMpWMYv3Gqij4S10KmpOpCLmC5O2noEmCt5Ch6JmRBB3X+y2dbPTx97272+x/7+t+aB80u1p4pdLoO7DdxE8DY3Sc8YxLAyVmKoUvFdrCI/W8F4d8/5nlAM+7zjgE39yAQVgaqAgr0pJXgMlpgZKVAoNHgExz0LqGwp93C8EWxMDVAowUChi/lUq4vyuUigwVEdjB6x+EIDSwCDBsjG/K1CqY96vsy9DMTQyjFtGoUClVGDwb9tExwxV9guLxDg6dnsKDJQxZdTJ/JKmXd7g3YsXgAbFBx/uu3+XNxjk6ZnuPY4Aha0K8/e3f+Ny2IUZ+2eg1qj55+4/VJtdjU1DNtHSsWW6H1Nkb0ZmZnQ/fjzmuvT99+aBRqMbF5+3YEG6Hz+eIddjRnr9+jVbtmxhzpw5vH79GkdHxzjLTSRX7969mT17Nk+ePMHZ2ZlVq1bphlNu2rSJFStWADBx4kS99Q0MDPjqq6/Yv38/pUqVAuDs2bNMnz4dgLFjx+rt3TIwMGD06NFs3bpVt8bk7du3dQnwl19+GWeo5hdffMFvv/3GmTNn6NevH4sWLYrT2/Xu3TsOHz7MxYsXde+DUqnk22+/ZcyYMUyZMoUqVarQoEEDICbZHjhwIIaGhum+7MaHypYtS9euXdm1axcDBgxg3759lC5dGoDr168zatQoAEaOHJnhw1NLlSrFnTt3OHXqFBUrVoyzLygoiGHDhvHll1/SpEkT3RDg6Oholi1bxtu3b8mbN6/emwAi98m0pFH7H0P16tUZM2ZMht85ESIlBpWxYuGdhKehXlqrULKGH0ZGRnL4IYyrYIOhoaHeMs0KmtLq5NME29hcvyjNC8W/exsZGcnhw/Bb7UJx2vYKjsDh4IMEk8aDnxTXxR7Thhsb6xeJF1/MPnc21y+aYOzZhfac9c2JqQSutS4V7/OK0iWQat5HawhXa3j/b0IZZ/u/22LKxGybffM1L98nnOgnRAOERGkIiYqGZNTXAJseByWrbe1w4jGuL5I1nFhbvv3pp0mW15Ytr2cY84dlbHd7EqEwiJtYKiCvUs1iBfSd8gsNfXxIcABUdDTvfGKWN6g6bFiS55EaKqWKqR2m0qRcE3qv7I1PgA8vg1/S+ufWTGo7iVmdZmGgknuoHxMbBwcGeXpyZ8sWbq1bR8iLF+QtVIiKn39OhT59sn3COG/ePFatWgXA+/fvef36Nd7e3rr93bt3Z/ny5QnOnJoYU1NT/vjjD1q3bs327ds5ePAgFSpU4MWLFzx9GvP/rqlTp9K2bVu99YcNG8a+ffsoV64clSpVIiwsTDfks2PHjnz11Vd663Xr1g1PT08aN25MxYoVUSgU3Lx5E41GQ+3atZk1a1ac8mZmZhw4cIB27dqxbds2/vjjD8qXL4+FhQVv377lwYMHREdHU7du3Tj1Ro4cybFjxzh8+DANGzbEwcEBExMTbt68SZEiRXB2dmblypUpft9S6vfff+fevXvcuHFD915FRkbqhqy2aNGCmTNnZngcPXr04PDhw4wYMYLff/8dGxsbAH7++Wfs7OzYvn0727dvJ2/evJQtWxZDQ0O8vb15/fo1CoWCn3/+WXdTQeRumfZ/Se0fM29vb/bu3Uvt2rUZM2YMPXr0yKwQhEiQvbkRq+sWZvAlX1T/frtVKUCpgdV1C6frpCotC5sxuLQlq/VMhjO4tKXehDExmRl7dpGaczZQKjBTKjBLxah8j4D3/O9BQIL7q1oZ0zC/KSFRakKj1IREqwmJ0sT8HKUmJPq/n0OjM7DLMwtEqiFcTx9yHqLBFEoc24NGoUCRSM+kRgFX16xlW51P8Q6JxC6vIYPKWCX7Gc8Pn5fMW7BgzJf/vn3jfPlvUq4JbtPd+HzN5/x58080Gg3zDs/j1L1TbB26leLWxVP1HoicycjMjKrDhmXYzYqM5OXlhZeXFxCTPFlZWdGiRQvq1q1L3759E1xOI7nq1q2Lu7s7Li4uHDlyBA8PD/LmzUurVq0YPXo07dq1S7Cura0tx48fZ8GCBRw5coQ3b95Qvnx5Bg0axJgxYxKcsMbY2JgTJ04wadIkDh06hJ+fHyVKlKB3795MnTpV71BYBwcHzpw5w+bNm9m7dy937tzh4cOHFC5cmE8++YR27drx2WefxamjUqnYu3cvP/30E2vXruXhw4fY2Njw+eefM2fOHJYsWZKm9y658ufPz4ULF1i0aBF//PEH9+7dQ6lUUrt2bQYMGMAXX3yRKTdwtRPcbNmyBS8vL27evAlAQEAA5ubmbNy4kb///psrV67g7e1NREQExYsXp02bNowdO1bvmpwid8q0pHHt2rUA+Pn5cf78eS5cuEDv3r0laUzAsmXLWLZsGdEJLD4s0p9zaSsa5TdlnddrePqA0eWscba3zZCka1XdIvQuaclsd18Ih9rWJkyvWjjFCaNWZsaeXWTmOY+tYMPKBwEJ9ububFQs2ced6PaCH+/6oy93VCmgn50lX5S1IloD0RoNUep//9X9riFaA1FRkXDjAb/XKkS00oAojUZPnX/LajRooqPA+wHflrfmvUIVs12tITpWGe02RXQ0+EPHouaEoYzTprasSh0NYVDVyoRQlHHai9KAoSYmm7cI8keZxFBWhUbD/UfP+eHuG90owYV33rC6bmEa5jdlzYOAOMkkoNtW+qU3hUd0J9zXD40ipq2AR4/wuXCRC7Nn0/34cWxirRuX3zw/B78+yKKji5i0ZxJR0VGcu3+OarOrsW7gOjpW7Zisz1GIrBC7NzGj2yhZsiTLly9P1TEKFizIqlWrkpzR9EPm5ubMmzePX3/9Ndl1zc3NGT9+fILDZfUxNDRk4sSJ8eqo1WomTpzIvHnzUhS7k5MT0dHRBAUlb6SIVt68eZk2bRrTpk1LVnk7O7sEn99M6rnOxD73L774gnHjxuk95379+tGvX79kxSdyt0xLGj/XMwtZShcs/ZiMGDGCESNGEBQUpHvQWGS8suZGzKicn8NPYUbl/Bl6l695obw0sSnJ4cO3ONasZJqPlZmxZxeZdc725kas+bdnM/YSIEpS3ps7uEw+frjjr3efRgNTKyYv8Y2MjOTwDehjZ5ms846MjOSwN8xMxvsUM1TZlU16hjHHLXOT0y30X7sx+z2pUKooPi+fJdrTqFYoCLa0+S+R/vffQf++3wrFf4+cLfh3GLlSAYZhIYz9rishgW9QxXpeUpHE85JKpZKxrcfSqGwjeq3sxeM3j/EP8afTr534tsW3zP9sPkYGufeGixBCCJFSWTp7akZPIyyEEOnFubQVnh3K8G15awC+LW+NZ4cyKV6jUTu0Vglxh9aSO4cTV+jf/7/JbxKg0Gi42uTTeNs1oFuLU/uvdqmTaA1UO3cQi7cvY3o99Yn1vKQ+9crUw3WaK12qd9FtW3xsMY0WNOLhq4fJODshhBDi4yBLbgghRDJpezYhpmcztQmeNgEdXS4mAR1dLnUJaE5QvndvzIoUhgSWN1ArVQTlK4Brw/Ypbrvm6X1oklhjTKOAW+vXJ7g/X9587Bq+i6W9l+p6F694X6H6nOrsuLojxTEJIYQQuVG6Jo1Pnz5ly5Yt/PDDD8yePTvOvsjISCIiItLzcEIIkWOlVwKa3WmXNzArWBBQ/Jfk/fuvxiY/q6asIcIk5c/zmge+Sdbzks8uXcalam2OLllGxDs9S6MoFIxsNpILEy9QtkBZAILCguixogdfbf6K8Mj4a9UJIYQQH5N0SRpfv35Nz549KVWqFP3792fixInxpkYeOHAgefLk4dq1a+lxSCGEEDmEdnmDliuWU7RePSxLl8akfHma/fYbndxv8bJI6VS1G2xpgzqpnkZAGR2F6sY13L4Zya9l7Xlz967esjVK1uD6tOv0rtNbt+33k79Td15dPP08UxWjEB+LmTNnotFomDFjRorqOTs7o9FoWLduXcYEJoRIF2lOGoODg/nkk0/YsWMHRYsWxdnZmaJFi8YrN2TIEDQaDbt3707rIYUQQuQw2uUN+pw/j/PduxSfP5/KQ4ZQobB1nGc8lYqYfxWQ8NqO/7rWpHOiE+wQqw2lRoMCiHz1iq3NmuntcQQwNzFn85DNrBqwijxGeQDweOZBzbk12XRpU0pOWQghhMg10pw0Lly4kDt37vDZZ59x9+5dVq9eTcmSJeOVa9KkCXny5OHEiRNpPaQQQohcRPuM5zgHG3oUt2Ccgw33OpRhTSLJpEoBbo06EJSvANFK/c9L6qNSRxPmm/DkOBAzXHVw48FcnnwZx8KOAIS8D2HQ+kH84vYLIe9D0nbCQgghRA6T5iU3du7cibGxMatWrSJPnjwJllMqlZQtW5YnT56k9ZBCCCFymbLmRrhUKxBvW6P8pqyOtU7j4H/XaYzZZoF69W7yfrBOo4YkeikVCm6tX5/kou6Vilbi8pTLjNo6ijXn1gDwz7N/qL+gPn988QeVi1VO/QkLvZJaa04IIXKjnPC3L81Jo7e3N+XKlUvWWoKmpqZ4espzIcmxbNkyli1bRnR0AlPJCyHER0BfMgnE2laUiJb3uLNlC7fWrcP3yhWIikq0TYVGQ4ifX7KOn9c4L6udV9PUoSlfbvqSkPch3PW7S515dfil1y8MaTwERRLPVYqkaRcVl//nCSE+Rtq/fdq/hdlRmiMzMTEhODg4WWV9fX1lofpkGjFiBLdv3+bKlStZHYoQQmRrsZ+XLFy7djKW4VDw2twGr+Dkzegd8e4dld1D+PmiPVN3GDBiP1TzCGfkmmH0WdmHoLCg9DiNj5qhoSEqlYqwsLCsDkUIITJdcHAwhoaGGBoaZnUoCUpzT2PFihW5dOkSjx8/1vsso5abmxtPnjyhTZs2aT2kEEIIoVfFzz/H58LFxAtpNByo3Z6pBx/wfdX8BEao8Q6JxMIw5j5qUKQau7yGNCtoysmL7uQd9hmGr1+AQoGlRoMFUPIltHCFFSHbqOF9he1fbKdmyZoZf4K5lEKhwNTUlMDAQKytrVElsK6nEELkNmFhYQQFBWFlZZWtR66kOWns168f58+fZ9iwYezZswdTU9N4Zd6+fcvgwYNRKBQMGDAgrYcUQggh9KrQty8XZs/m3YsXoGeoY7RSxTtLG641aI8amOT+CpUC1JqY5Tngv+chF7k+Yfx3XVEFvonZ9u8zJ9r9ZmHwxWFY2P0B9V3q82P3H/m62dfZ+n/62VmBAgXw9vbm8ePHWFtbY2xsjEKhQK1WExERQXh4uN6hW4ntT6pudpXZcafn8dLSVkrrpqR8csrKtSbXWnqUT07Z6OhowsLCCA0NJTg4GGNjY2xtbVN0DpktzUnj0KFD2bp1K0ePHqVy5cp0796dFy9eALBmzRpu3rzJpk2beP36Na1ataJXr15pDloIIYTQx8jMjO7Hj7OjeXPe+fjqJsdRKxQoNBreWdqwYvIaIkzy6upEfzD/gPbXGucOYvH2ZYKT6qg0YBEK1R/AJYdIRm8bzYm7J1jtvBrrvNYZcn65mZGREcWKFeP169f4+vrqtms0GsLCwsiTJ4/ehDyx/UnVza4yO+70PF5a2kpp3ZSUT05ZudbkWkuP8sm91kJDQ7GwsMDKygpbW9tsP8IizUmjSqXi4MGDDBs2jO3bt/PDDz/oZgAaOnSo7ucePXqwevXqtB5OCCGESJSNgwODPD11k+M8fOyDX958XG3yKa4N28dJGBNT8/Q+NP8mmwlSKOj0sjCXHHwA2Ou2l+uzr7Nt2Dbql6mfHqfzUTE1NaVEiRJERUUR9e+ERpGRkZw+fZomTZrofd4nsf1J1c2uMjvu9DxeWtpKad2UlE9OWbnW5FpLj/LJKRsVFcWJEyeoUqUKRkZGKYo9q6Q5aQQwNzdn69atTJ48mT179nDjxg0CAwMxMzPD0dGRLl26ULOmPOshsj8vr7esXOnOxYu+nDt3jqFDq2Jvny9DjnX0qDfTpp3l4cPXlC69nTlzGtGypV2q28vM2LOLj/GcRfJoJ8epOmwYk9xesvzum3g9ikkxD3yDMolp0BUaDfmjTDgw8gCfr/0c/xB/nvg/ofHCxszrMo+xrcbmqKFq2YWBgQEGBjFfUVQqFVFRUZiYmOj9ApbY/qTqZleZHXd6Hi8tbaW0bkrKJ6esXGtyraVH+eSUjYyMRK1W56he6XRJGrUqV65M5cqybpXImdauvcGQIX+jUIBareH8+Wv89NM1Vq9ujbNzpXQ91qBBR1i79qbu91ev/GjVaieDB1di1aqUTxaVmbFnFx/jOYvUGVTGioV33qS4XrClDflePUs0cdTOxOpUuhXu093pvbI3Z++fJVodzYRdEzjheYINgzaQ3zx/Wk5BCCGEyFLpmjQKkVN5eb1lyJC/Uav/+3IY/W+3xMCBR1iz5gbm5kYoFAqUSgUKBf/+G/vnmHp+fr5s23YElUr5b3ni1PPxeceRI95641i9+ibm5kZUrGiLUqmI81Kro/HwCCYk5B5GRga67X5+IXz11TFif6/Vxj5o0BEAihUz/3d7FB4eoeTJ8xRDQwNdzAqFgqioKG7dCsPC4jkGBjH7tHfAPvxZW+e/n5Pan9DPKSn7X/uPHwcl+HkNHvwXjRoVpWzZ9O9xlJ7NnMne3IjVdQsz+JIvCsW/zyxqQJ1EvWtNOlPSyy3xQrFmYl1dtzAnxp5g5v6ZzPtzHhqNhiM3j1BpZlWaN1uGxqpOvBlaB5Wxwt48/tAkr+AI1nu9pjYw68YrPre31VtOCCGEyAxpThr379/PN998w4gRI/juu+8SLPfTTz+xbNkyfv31V9q1a5fWwwqRrtasuaFLTvQ5c+Z5Clv0THUsP/98PYkSfya7LY0mJumNb3citXYmu/3sSK3WULHiWmxs8mBmZkTevIaYmcW8Yn42SuHPMb9v2XKHIUP+AmLe17Nnr/Ljj1dZs6aN9GzmAM6lrWiU35TVDwLwDonELq8hVkZKJru/iumt1jN76vWGHWix+3fMAt+gUic9E+vgS740tC3N3C5z+aT8J/Rb1Y+XwS95GeTL1r3doNRwsPsSFCoUgFIBC++8YXXdwjiXttK1u/ZhAEMu+WKqiGZTHlhyzx8Xz8B45YQQQojMkuakccOGDTx+/JguXbokWq5z586MGzeODRs2SNIosh1v7yCSeHRJ5CAREWp8fUOAkAw7hvZ6GTToSKp6NqXXMvOVNTfCpVqBONs+K26hSyQt/+0FDPy3F7BFoRIsiN5M3fF9sXj7Eo1CgTKRmVjVQIXDDylrZoRd3vLUa/sn+4+OgLcXY/Y+WgZvr0LFBWiMC+iesRx8yZdq+Yz/z959x1Vd/XEcf12WIEPcGw1xL0Rxa+7MTC3LlZqKo+JXWbk1LfdqmFGZ4iy11ByZI7fmREVz75VbFAFlc39/oKQJCN4LF+T9fDzug3vP94zPzZveD+d8z8HDKRunQ6Poufsqcfy7q2vsg1lRn91XqZs3Ox6acRQRkXRmctIYGBhIvnz5cHd3T7aeh4cH+fPnZ+/evaYOmSX4+fnh5+dHbCLnjIn5FS/ukuRMo7W1gfffr8Knn9YiLs6I0ch/fhoTXkdFRbNx4yZefLEB1tbWj9V5+LxTp5X8/fetJGNxd8/BkCE1iYszPvaIjo7h8OEjlClTFoPBKqF89epzbN36T6JJr8EAtWoVolEjN4xGiImJ5cyZ07i7l0jYnMNojN/6OTY2jjNnzuLu7o6VlSGhv4exP6z7ZFnSz//t/2nXn/780bLAwBscOxaUZKKfO7c92bPbEhYWzb170URFpd3/R0YjfPDBBj79tDa5ctmTM2c2cua0x9Y26a2zs+r9mKdO3WHmzEOcPRtMbOwtSpa8Q7ly+Z7eMA0llkg+akbZskz+4g8qb/+D6luX4h56nbPOBdiTxE6ssUY4ERrFidAowAE8p8OF6XD2WyAOgnfDnteh3HjIXRfiS6mSxJL1RxkM4H8mONl4RURE0oLJSeOVK1eoVKlSiuoWLVqUI0eOmDpkluDr64uvry8hISHkyJHD0uE893r0qMjEiQGJXjMawde3CrlyOTy1n+joaPLnt8XdPUeSO2ZNntyAZs2SXgL644/NaNy4WKJ9r1p1hRYtvB7r+/XXS1GmzMyEBOtRBoOBOXNeTpgFi+8jmBYt6iS6XfiqVSG0aFE3w+/8durUnSTfs5WVgV273nps5i8qKpZ79+ITyLCwqIRk8vHn8a8Te75x40XCw2OSjGf16vOsXn3+sTInJ1ty5rQnZ077B8lkfEJpMMDMmYcTvQfVx2cNrq7ZcHd3xc7OCjs7a2xt438++tzWNvPtxvloomx8cFPh0qXzMnyiXNzRlmgHR3Y3bsffjduyIPsZhtwvQThP/lLAAOSysyI81sj9h9OEBuv4Jamu1eBIf4i8DtG34WBvKNYTXngfrFL2/1usEZb+E8qrhZ2omccBq0y0656IiGRuJieNjo6O3Lx5M0V1b926RbZs2UwdUsTsSpbMib//S/j4rH3wpdaIwRA/2+bv/5JZN1Vp2rQ4Pj4V8Pc//MQ1H58KiSaMyUnP2DOK1L7nh0lXzpz2zzReuXIzOXbsdqraxCee0Vy6FJriNnFx8Npry1NU18bGCmtrI/b23z+RVCb23NbWwJ07t5gz5w/s7W2SrWttDWfO3OHs2QM4ONg+kbDa2VljZWXk0KH7uLpeIXt2O2xtrR9LdA0GIyEhsYSERHL1avATGxfFM6bpxkXmkJqdVw3ArmYvUMLJlqCoWPoF3mDeubvxG+64VgPv3+DYEAjaEt/gwgwI3gflJ1E8VzE8nO04HRrFhfvRJDGJzonQKOqsv0AhBxvaFnXmjaIu1MnjgLWVEkgREUk7JieNFStWZOvWrezdu5dq1aolWW/v3r2cP3+eunXrmjqkSJro1q0CdesW5scfD7Jr13Fq1ixD796V0+TL7IwZzenYsSxDh257cE5jHsaMqZfqhPGh9Iw9o0jP91yvXpFkk8aqVfNRp04Rbt+O4M6d+Me/zyPTZHlsTEwcMTEQGRmVypanU1F3SwrqLHrK9R+SvWowgL//IcaNq5/iqNLTozuvWj/cyffBNasHLwzEz5761yiYcL9hnmw2DC2fh3nn7v7bmV1OqOQHl+bAma/AGAN3A2HP6wzqOpM+tdpyKjSKMivPJJk0PnQlPIapJ+8w9eQd8mWz5vUHCeSL+bJjowRSRETMzOSksVOnTmzZsoW33nqL1atXJ3pv47lz53jrrbcwGAx06tTJ1CFF0oyHR07GjKnDqlV3E13CaU6NGxejfv1CrFq1ihYtWpg8VnrGnlGk13vu18+b6dP/TvK+0YULX00yWTUajdy/H82dO5HcuRPBhAl7WLDgeCKzbvF9eXrmo1q1AkRFxRIVFUt0dNx/nscRHR1LZGQsQUHB2Ns7JtT5b93o6KcdKmF5RmP8RlQZ2cOdV2efugWXzvBR6Vw0LJSD9dfuJezE6lPC9YkNav571EecEYwGK3DrDjm84Eg/iLgMMSG8M/MNjl34kAltJzyRpFobwMoI31TNj5ONFUv+CWXt1XtEPfgM3YiM5YfTwfxwOpjcdta8VtSZtkWcaZTfETtrJZAiImI6k5PGHj16MGfOHHbs2EGFChV4/fXXqVGjBq6urgQHB7Nr1y6WLVtGeHg4tWvXplevXuaIW0Qk3ZQsmZOZM5vj47M2YTOfh2dTPm0JsMFgwNHRDkdHO4oUcWbEiNosWHA8ybq//pp0Avqo+HtQk/+Fg9FoJCYm7sE9nZGsXv0n9es3xGi0SjLRjIqK5f79KPbs2Uv58pWJizMkWjciIprjx09RtGhxYmNJSGajouLrREbGcPnyVVxd83Dy5B0uXkx8ma7RaKRYMZenvl9L83C2Y0TFvKy6BCMq5sXW1pbGBRyf2u6/R338u0NrPQpU2cTR3QP489AyAKZsmMJfp//il96/cKJliYQk9cNSuehWMk9CUvq2uysh0bGsvBzG4kuhrL4aRsSDeyiDomKZcSaYGWeCcbW1onURZ94o6kzD3PFtz4RFMefCnYRkN6lzIkVERB5lctJobW3NypUr6d69O8uXL2f+/PksWLAg4frDjSpee+01/P39sbZOekdBEZGMylzLYdPzHlSDwYCtrfWD+w0NuLraUKSI81NnZKOjo7GxOUGLFmWSrBuftN6hRYv6idZ5NKk9fz6MMmVmJjq7ajTC/v3XOXjwBgsXHuf8+RCKF3ehR4+Kz80RJMnt0Gqs/hvfb/6ej379iKiYKPZd2EeVUVWY0XUGIzxfeyxJfZSLrTWdiuegU/EchEXHsfpqGIsvhbDycljCJjzB0XHMOXeXOefuktfGyHQ7qLrmHJEG64RffCR2TqSIiMh/mZw0Ari6urJ06VL27t3L8uXLOXbsGCEhITg7O1O+fHnatGmDl5eXOYYSEbEYcy2HzWr3oD6ZKD9+/Mq6dRfw9JyLtbXh32RmYkCG31nVHAwGA+81fI9aJWrRflp7Tt04RWhEKO1/bE+vur1o4tzkqX042VrxppsLb7q5cD8mjrVX42cgf78cRmhM/BLlsJg4sAMj/57/+PDGSZ3/KCIiT2OWpPGhatWqJbsZjoiIxMtq96A+TJT9/R+e03iTZs28+Pjjrdy7Fw38e/TIQz4+aylSxIkNGy4+NgMJMHPmoaeWZaaZyipuVdj36T7e/eldft79MwDT/5rOn85/Uta7LBWLVkxRP9ltrHitqAuvFXUhIjaO9dfusfhSKMsvJL2Rk85/FBGRpzFr0igiIpIUD4+cjBtX/5GlqxUICLjBjBmHEq1vNBpp1mwxVlb/zkBOmLAH4KllmXGm0tnemXk+82hctjG+830JjwrnQugFao6vyfdvfU/X2l1T1Z+9tRUtCzvTsrAzb0VFw53E6xmB8w8SdxERkcSYPWm8c+cOYWFhiR66/ZCbm5u5hxURkUwoLCwaKytDkvc7wpMzkCkty+hnQCbGYDDQvU53qhevTrtp7Th69Sj3o+7z9qy32XB8A36d/HCyd0p1vy842SaZNGKE4o7P90y3iIiYxsocnZw8eZJOnTqRK1cu8uTJQ/HixXnhhRcSfSR2JIeIiGRNxYu7YEijUyEengGZGZUvXJ4dA3fQtGjThLK5O+dSbUw1/v7n71T31/mFHEleiwNaFU59IioiIlmHyUnjgQMH8Pb25pdffiE4OJhs2bJRpEgR3NzcEn0ULVrUHHGLiMhzoEePiomef2kOmeEMyORkt8uOb2Vf5nSfg1O2+KTuxLUTVB9TnWlbpiW7oue/SjjFb3JjxYNzHw3waK4+6sitVPUnIiJZi8nLU4cMGUJoaCiNGzfmq6++okKFzHP/iIiIWFZiO6saDPFLTZNatppSBkP8TGZm19G7I7VK1KLdtHYcuHSAyJhI3vnpHTYe38iPXX4kR/akZxH/a1/zF5h94R7n70WTz96a+efvcisqjtVX7/H54ZtExqIzHEVE5AkmJ407duzAycmJZcuW4ej49IOOJWX8/Pzw8/MjNjbW0qGIiKSpR3dWfbj7aePGbrz00hKT+o2LM+Ljk7JdRzO6kvlLsnPwTvov6s+3m74F4Ne9v7L3wl5+6f0L1YqnbOdydyc7xnn++2/1ywWdeHnLJQA+PxyE9SOJ+8MzHN8qqn/bRUSyOpOXp8bFxVG6dGkljGbm6+vL0aNHCQgIsHQoIiJp7uHOqgsWtGTcuPo0aVIcf/+XsLIyYG1tSPhpMMQnNMmVPWQ0wmef7aBjx5UMHryVU6eS2gkmc7C3tWdqp6kseXcJORziZxfP3jxL7fG1mbJ+yjMtL21eyInOxf6djY01xt/j+PCnz+6rnA2LMtM7EBGRzMrkmUZPT0/Onj1rjlhEREQSJDYD+XDmMLmymzfvs2HDRQB+/vkYVlaGTHsMR2Je93odLzcvOvzYgd3ndhMdG03fX/qy8fhGZnWfRS7HXKnqL79D0l8FDAaYd+4u3qYGLSIimZrJSePgwYNp2bIl8+bNo0uXLuaISUREBPh3BvK/kis7fjyIsmVnJZQ/el9kZjyGIzHF8xRn24BtDF02lElrJwGw4uAKPEd6srDXQmp71E5xX5fvx2BF/MzifxmBC/dilDSKiGRxJi9Pffnll/nuu+947733+Oijjzh8+DDh4eHmiE1ERCTV5sw5kuQxHkajMdMew/Fftja2THxjIn988Ae5nXIDcOn2JepPqs/41eOJi0ssDXxScUfbpI89MUIxR7Mf6SwiIpmMyUmjtbU17733Hvfv3+ebb76hcuXKODk5YW1tnejDxkb/+IiISNo5dOhWksd4GI3x158nLSq24MCnB6hXsh4AsXGxDP5tMC9PeZkbITee2r5HCdck/3vFAWfvRZsxWhERyYxMThqNRmOqHin9zaeIiMizCApKfrXL065nRkVyFWHjJxv5tOWnGB5MG/559E88R3qy+cTmZNuWdLbDv0bBf89w5PEzHJf9EwrAkeDINIldREQyPrPsnprah4iISFrJndvBpOuZlY21DSNbj2TdR+vI75IfgKt3r9L4i8aM+mMUscakj3Dq5u7KiZYl6F8mN+3cXBhQNhfjK+clu/W/6WPDjRfwO3n7mXZpFRGRzM3kpFFERCQjqVgxz2NHbzzKyspAxYp50jmi9NW4bGMOjjhIk7JNAIgzxjHqj1F8tuszrt69mmQ7D2c7xnnmY0Gdwoz3zM/AcnnY3/wFKuXIBkBknJH/7bvO63/9w+1InSEsIpKVKGkUEZHnSo8eFZO9/vCIjudZfpf8rOm7htFtRmNliP+n/lDQIbzHerPu6LoU91PaJRsbGrk9VrbsnzAqrznLthv3zRqziIhkXEoaRUTkuVKyZE78/V/CysqAtfXjM46ffVY70x+3kVLWVtYMfWUom/ptolCOQgDcCL3BS1+/xLClw4iJjUlRP3bW8V8VFtYpTG47awD+uR9Dg40X+PzQTY7fjWTwgRt03H6ZPnuu0nffdQA+P3STU6FRafDOREQkvZltK9N79+7x+++/c/DgQW7fvk10dOK7rRkMBvz9/c01rIiIyBO6datA3bqF8fc/xNq15wkMjN9F9MCBp+8m+rypX6o+AUMCeHXyq+y/uR+j0ciYVWPYemor83vOp0iuIinq5+WCThx82Ym3dl5hy437xBnhs8O3+OzwLawNEGeMP9fRgViaZYcpJ28z7sRd/GsUpJu7a5q+RxERSVtmSRoXLlzIu+++S0hISELZwxvlDY8c/mQ0GpU0iohIuvDwyMm4cfUZPrwWJUrM4OrVe/z22ymaN19MlSr56NGjIiVLZo1Zx7zOeRlWfRgn7E4wbPkwYuNi2XZqG56jPJnbYy4tKrZIUT+Fs9uyoaEbY4/eYsShWzzcEic2kb1xYo3xR3b47L5K3bzZ8XC2M9v7ERGR9GXy8tSdO3fSpUsXYmNjGTp0KB4eHgBMnz6d4cOH06pVKwwGA/b29owZM4aZM2eaHLSIiEhKOTjY0rBh0YTXa9eeZ9KkAMqUmcns2YctGFn6sjJY8UnTT9g2YBtuueLvUwwKC+KVb15hwOIBRMek7DxGaysDn1bIS6fiLimqbzCA/5ngZw1bREQyAJOTxsmTJxMXF8fPP//MyJEjyZcvHwA+Pj589tlnLF26lMOHD+Pu7o6fnx/Nmzc3OWgREZGUOnXqDgsXnnisLDbWSFycER+ftZw+fcdCkVlGrRK1CBweSKvKrRLKJq2dRP1J9bkQdCHF/cTGpexLhBE4fy9lCamIiGRMJi9P3blzJ3ny5OHVV19Nsk6ZMmVYsmQJZcuWZcSIEfzwww+mDisiIpIiM2cewpD4CRyAkS5dVlG8eA5cXOKXT4aERFG8uAuNGrmxceNFzp8PwWg0cvx4EFeuBOPu/gujRtWladPi6fUWzC6XYy6W+S7jmw3f0H9xf6Jjo9l1dheeIz2Z1W0Wbaq0eWofxR1t4/+7PuXYRsODuiIiknmZnDQGBQVRqVKlhNd2dvH/6N67dw9HR8eE8lKlSlG+fHlWr15t6pAiIiIpFp/0JX4tLg52777K7t1XE+o8TDDHj9+DlZWBuLjHG9+8eY1mzRbj41OBGTMy7+oZg8HAh00+pHaJ2rT/sT3nbp0j+H4wr333Gh82/pAJbSeQzTZbku17lHBl4rGgp45jNIJPCVczRi4iIunN5OWpuXPnJjw8POF1njzxhyafOXPmibqxsbFcv37d1CFFRERSrHhxl2RmGuOTmkeTykdf/zdhfJS//2E2bEj5cs6MyvsFbwI/DeSNqm8klE3ZMIU6E+pw5saT/5Y/VNLZDv8aBbECrA3xM4qJ+bRCbm2CIyKSyZmcNBYvXpyrV68mvPby8sJoNPLzzz8/Vu/gwYOcPHmSvHnzmjqkiIhIivXoUTHJmUZTDRv2V9p0nM5yZM/Br31+5bu3viObTfzs4r4L+/Aa7cXi/YuTbNfN3ZUTLUvQv0xu2ru50KeEKz1ecH2sztXw2LQMXURE0oHJSWPTpk0JDg7myJEjAHTq1Al7e3smT55M586d8fPzY/jw4TRu3Ji4uDjatm1rctAiIiIpVbJkTvz9X8LKyoC1tQErK0OyM4+pceVKmHk6ygAMBgPvNniXXYN3UTJfSQBCwkPoNKMTPxz6gYjoiETbeTjbMc4zHwvqFOaH6gX5qmp+AJxs4r9izL8QQmi0EkcRkczM5KSxXbt2NGrUiBMn4nemK1q0KN9//z02NjbMnz+fDz74gDFjxnD79m1q1KjB6NGjTQ5aREQkNbp1q8CJEz3o39+bdu1KU6NGQaytTc8cCxVyMkN0GYunmyf7Pt1Hp+qdEsrWXFhD3Ul1OXntZIr7ebNo/JEcYTFxzL8Q8pTaIiKSkZm8EU758uVZt27dY2Vvv/029erV49dff+X8+fM4ODhQt25d2rRpg7W1talDZgl+fn74+fkRG6vfzoqImIOHR07GjasPxB/DUaaM6ecGjx5d1+Q+MiJne2d+6vkTjco04n8L/kdEdAR///M3XqO9mNZ5Gm/VfOupfXR3z8F350IB+PF0MH08cqZ12CIikkZMThqT4u7uzqBBg9Kq++eer68vvr6+hISEkCNHDkuHIyLyXHm4ZNXHZy0GQ/yGN//dPdVoJNHdUx/q3r08jRsXS6eI05/BYMCnng9ebl60+roV/4T9w73Ie3T278ymE5v4psM3ZM+WPcn2lXPaUy2XPXtvR7D/TgR7g8KpltshHd+BiIiYS5oljSIiIhlZt24VqFu3MP7+hzh/PoQcOeJ3+Lx7N/6cxiZNirF+/QXOnw8BjBw7FsTx40FERsYnkV27lrdg9OmnQqEKTK47mT+C/2DernkA+P/lz66zu/i1z6+UK1Quyba9S7iy9/Y1AKadCVbSKCKSSaUqabx48aJZBnVzczNLPyIiIqZ4dMlqYh6dSYyOjmbgwIV89VX80VErV56lQYOs8e+ZvY09/l39aVy2Me/9/B73o+5z5MoRqo2pxnedvqNbnW6JtutYLAcfB94gLCaOOWeDuRMVS267+NtUQqLjKOFgwDsd34eIiDybVCWNxYsXx2DilnMGg4GYmBiT+hAREbEELy/HhCWrK1eeZfLkBpYOKV29Xfttqr9QnXbT2nH48mHCo8LpPrs7m05swq+TH072j28M5GRrRdVc2dhyI5xoIyy5FPrY9ezEMj87/Hz+Lt1K5nlivFOhUcw5dQtv4PNDN3m7ZB5KPjjz8VRoFJOPBbHnRiifAX33Xadv+XwJ10VExHxSlTS6ubklmTRevnw5IRm0sbEhT548BAUFER0dDYCtrS2FChUyMVwRERHLcXa2pnbtgvz11xVOnLhNy5a/UbFiHnr0qEjJklljo5eyBcuyZ8gePlz4IdO3TQdg7s657Dm3h1/6/ELZ/GUT6p4KjWLbjfAk+3p4t6jv3mvULeCCxyMJ36yzwfTcfZXshlh+coApJ28z7sRd/GsUxAj47L6KEXAgFrLDrHPBfHculIL21uSJjeClvWsos+k3Qi+c59cXXqBCt26Ufest7Jyevx1vRUTSWqqO3Dh//jznzp174vHKK69gMBj44IMPOH78OJGRkVy5coWIiAhOnDjBBx98gMFgoGXLlpw7dy6t3ouIiEiay5/fMeH5qlVnmTQpgDJlZjJ79mELRpW+HOwc+LHrj8zvOR+nbPFJ2PFrx6kxtgYz/pqB8cGuQjPPBKfoTEwj0HDDBV7dconXtl3i5U0X6bH7KnFA7IPMMtYIcUD33Vfp8SBhTEzMmVO07t2UfBMGEhSwh5jr17myezfr3nmXmaVLE3T8uKlvX0QkyzF5I5zvvvuO77//ngULFtCuXbvHrhkMBkqWLMnXX39N7dq16dixI+XKlePdd981dVgREZF0d+VKFEuXXkh4bTRC7IOsxsdnLXXrFsYjCx0t0bFGR6oVr0a7ae04cOkAEdERvDf/PeoVqke9RvU4fy86YVfap/knPIZ/wsNMiscu4h59xvbA6W4QBsDwYPCHP8OuXWNejRqEu3kQe/sW1nnyUa1HN170eVszkCIiyUjVTGNipk2bhpub2xMJ43+1a9cONzc3pk2bZuqQIiIiFrFhQ0iy9/Z///2B9AsmgyiZvyQ7B+/Et6FvQtm2K9uoOb4m9vePpWim0Vy8tq/E5c4NrOOSOOM4Lo7okBBsDu/H/spFrA/t40Df//GtR0nNQIqIJMPkmcbTp09TvnzKth3PmzcvR44cMXVIERERi7hxI+mZs7g4I19/vZ+jR4No1cqDV18tQZEizpw6dYeZM+OP9XBxib9nLyQk/liP5+FeyIfvL+h8c16zr8y62LGEZTvP6ZunubDkFeJK9IfCnf49APPvm7D4JNyJJCKnHQc6O0Ip6PZCDiZVyUdMHIw6fJNpZ4KJvXKP6C0X+OLOTaJzxsCLxaCgY5KxVN26HKPBkDCzmJhHc1irB/Wib95kXsNGXF+ynfNGO4o72tKjhKs21RERecDkpNHJyYkjR44QHByMq6trkvWCg4M5cuQIjo5J/2UvIiKSkeXLZ5vszFlcnJE1a86zZs153ntvPcWKuXDxYkjCjqsPcxmDAaysDEycGIC//0t061Yhfd6Amc2adYiePf/EYIhfqhv/05f8TTdzvegfRMdGwckxcGcPhjKjMM48B1v+SWhvDArns8/uYt3AwNAVbcmTLf5rSd8yufl+xiGY/jcxBgN/GY0YDffg93PQuxKGF4tivHoPtlwi6uY95hWKJKZkDpwvXUlIBFPDOi6W6GtX2TJrLrsbtcNggInHgvCvUZBu7q7m+s8lIpJpmZw0Nm3alPnz5/PWW28xb948cuXK9USdO3fu0LlzZyIiInj99ddNHVJERMQiGjd2YenS4ESvGQzxm+Rcu3YvoezChRDg3/seH3r0Xsju3dfw448HyZ7d9kE/hgd14rh16xZTp/6GlVXid5MktVT2v8VGo5GbN2/y/ffLEm2TXD9Go5EbN24wbdryhHoGg4F796LZvPlSou2ur21A2brVOBYSANYxYB2DzUo/og9VSrR+7ObLHPzzPLkaFsXa2oqws3dhxqH4HXKMxvhNbx7enzj9EG1d7Fg8eS8YDMQajfwGGI17CcWBnDzbvTdGgwGvLcvY2ahdwrauPruvUjdv9sd2dRURyYpMThrHjh3LmjVrWLNmDW5ubrz55puULVuWvHnzcvPmTY4fP86iRYu4d+8euXPnZvTo0eaIW0REJN0VKmTHjz82oXfv9f+ZXQN//5d4++3yHDhwgxUrzvD99we4fv1+ivrdufNqMlcTT8yezYWnV0nS+VTVPvaXE9Aw4XX0U+q/8caKFPVrjDOyeNLeBy/is7uHKfk+qlLsGd+jldGI07nL8P5GyJkN3ihFXKW8+J8JZpxnvmfqU0TkeWFy0ujm5sa2bdvo3LkzgYGBzJkz57HfWD7cdrtKlSrMmzePYsWKmTqkiIiIxXTtWo4XX3TD3z/+PsXixV3w8amYsGtqlSr5qVIlP8eP3+bXX08QF5f65ZLybPbjRRPW40QY1sSlqm0cEBaTHYLC4x/j90CDIsz/sCrn70VT3NGWrvltiFqxiCNz5nDv+nUc8+en/Ntv6/xHEXnumZw0ApQtW5Z9+/axceNG1q5dy8mTJwkLC8PJyYlSpUrRrFkzGjdubI6hRERELM7DIyfjxtVPtk7x4i4p2jnU2tpA375efPZZncfKo6OjWbv2T5o1a4atre0T7YxJ3LuXWPHjfdk8tf6j/UdHx7Bu3TqaNm2Kra1NQv1Ro3by7beBTyy9BbCygk6dytKrVyUiImIJuxdJz/eWcueaNY9vRfMvV9ds1KpViNhYIydP3ub8+ZDEA0tGFNmYRh/6MA0XQjASv1Q17sGoyf1xGIC9VHu8cPM/XKxViIsV85Lv8llsxvbA5c4NeLDZTvC5c1zZuYudI0fy5oYN5C5ThqiwMI79/LMSSxF5rpglaXyoUaNGNGrUyJxdioiIZEo9elRk4sSAp9YzGuGddzxxcnr8vrnoaAMODlY4O9slmjSmRnS0FU5O1ri6Zkt1X9HR0Tg7W5Mrl/1jbX19qzB1amCibYxGGDKkOmXL5k0oc3bqQLNmi4lfTPpo+hb/evHiVjRuHL8a6dSpO5QpMzPJWVpra0OiySrATfIxkQFUIZBq7MWJUO7hSD5uYkdUojOQsVgRhhOBVHmyw0UnsSuZnd6PnP/If89/vH6dRY0b02bFCpa++ir3rl5NeJfBZ89yZedOdnz+Oe02biR3mTKJxi0ikpGZfE6jiIiIPKlkyZz4+7+ElZUBa2vDY7OOBkN84mNlZcDf/6WEpa2ZyX/f36M///e//Hh4uD5Wv2nT4vj4VCA+lTI+8oBC1f+hordDMn3/+99r3Lh6Sc6OPhRFNnZTEz/+xwQG8y0fMJX3CcMJIySkjXEPIgjDiWn0IYpsT3Z2J/Lp5z/GxhJ25Qq/NmxI2NX4+1Mf/nE//Bl29Sq/vPgiUWFhyQcvIpIBmXWm8dKlS2zbto3Lly8THh7O8OHDE65FR0djNBqxs9MOZCIikjV061aBunULJ9z/mCNH/L+Bd+9GPXEvZGb03/dXvLgLXbuW5eTJHYnWnzGjOR07lmXo0G0cO3uFEMNFqLqGK4XP4DnyVxb0WsCLpV98rO8ffzzIrl3HqVmzDL17V8bDIycFCjji47M2YRMio9H41EQysRnIMJzZSzUCqZJ4wggQHUvVX+ZjxICBpAcxApGhoUkugTUA927coO1HE7j1Zg9GVsxL04JarioimYNZksZbt27h6+vLkiVLHrvH4tGksXv37ixYsIA9e/ZQtWpVcwwrIiKS4aXk/sfM7L/vLzo6mpMnk67fuHGxhGWoaw6toeO0nwmOhKt3r9Loi0aMeHUEQ18ZirWVNR4eORkzpg6rVt2lRYs6CctjH01Wz54NJjb2Jj17NmDZsjNs3foPwcGRXL1677Edbg0GAznzurL7ek12UzPlbzAkCmeCsEomYYR/50+fpvzMH5iwuRjN3iiFTxsPZtQolPJYREQsxOTlqaGhobz44ossWrSIwoUL061bNwoXLvxEvZ49e2I0Gvntt99MHVJERESeA43LNOarel/RqHT8fghxxjhGrBhBs6+ace3utWTbPkxWf/rpZbp0yUPjxm788EMzjh7twZUr73LqlA/9+lWjXj0n+vWrxokTPbh2zZeJE+vj5GSLtbUBJydbKlfO+9QNi0JxfuperP+9UzMxBiBHXDCcDobxe/AftJUNj5zrKSKSUZmcNE6cOJFjx47Rtm1bjh8/jr+/f6LHatSvXx8HBwc2bdpk6pAiIiLynMhpn5M/3v+DUa1HYWWI/1qy8fhGKn9emfVH1z9zvw9nKT/5pCBjxtRJWAbcv391QkM/JCbmE0JDP+Tll1/Ayir5dG8fVZ+aED6Tzf/w/uxDadGziIhZmZw0Ll68mGzZsjFjxgwcHBySrGdlZYWHhwcXL140dUgRERF5jlhbWTOs5TA2frKRQq7xyzVvhN6g2dfNGL5iOLFJbUBjBj16VHzq/ZD78SIEF2KT+NoUixVxyd7xGM8I3MXlsbIzs4+kPFgREQsxOWk8f/48pUqVIkeOHE+tmz17dm7dumXqkCIiIvIcerH0ixwYfoDmFZoD8RvcjF8znk93fcrl4MtpMmZiu8D+d7nqw/Mfk9t9da9TsxSNZ08EvnxLTXZiRyTG2xFmfDciImnD5KTR3t6e0NDQFNW9evVqipJLERERyZryOuflj/f/YPzr47G2sgbg6O2jeI/1ZvWh1WkyZrduFThxogf9+3vTrl1pevWq9MSS1Ye7ry6hLRcpxi1ycZFiLKEtExlArwVfEp0tR5KzjQ/LnbiPGxd4nd8YwETy2gVxKjQqTd6XiIi5mJw0li9fnkuXLnHhwoVk6x04cICLFy9mmZ1TN2/ejMFgeOJRrVo1S4cmIiKSoVlZWTHw5YFs7b+VojmLAnAr7BYtvmnBwMUDiY6JNvuYDzfWWbCgJdOmNUv0DMr/nv/ox//YTU26+FSlWctyNF+2lhCcHzmB8t/TKA38u1GO1YPnToTR48bXVFr8N7PPBpv9PYmImIvJSWPnzp2JjY2ld+/e3L9/P9E6d+7cwcfHB4PBQNeuXU0dMlOZMWMGO3fuTHjMnj3b0iGJiIhkCrU9arNn8B6883snlE1cO5EXJ7/IxaC03SPhv7OP/ft7c+qUD+vXv0nNmgVxc3OmZs2CrF//JjNmxC+n9WpeA/fv1/OboS0XKEYY2YGkd1W1Jg6X6DtUnvUTPruvclozjiKSQZl8TmOvXr1YsGAB69ato2LFirz55ptcv34dgJkzZ3L48GF++uknbt26RbNmzejQoYPJQWcm5cuXp2bNVJwHJSIiIglyO+VmSLUhnLY/zZBlQ4iOjWbnmZ14jvRkdvfZvFz+5TQbO7EzNj08ciacM5mY7u9Up16T6fj7H4LpfTAGHU9251UjUG3bMnbfqIh/2dyM88xnnuBFRMzI5JlGa2trVq5cSfv27Tl37hyTJk3i9OnTGI1GevXqxddff82tW7do164dS5YsMUfMIiIikoUYDAY+bPwhfw38i+K5iwNw5/4dWvu1pt/ifkTHmX+5qikeJpuFc0Q99YuWFeBEKJy4w8bFJ9IjPBGRVDM5aQRwdnZmwYIFHDx4kOHDh9O2bVuaNGlC69atGTJkCAEBASxcuBBHR0dzDAfAuXPnmD59Or169aJy5crY2NhgMBgYPXp0itqvWrWKJk2akCtXLhwdHfHy8mLq1KnExT3t+N7Uad26NdbW1hQoUIA+ffpw584ds/YvIiKSVVR/oTqBwwN53ev1hLJvNn7D4O2DOXvrrAUjS5xj/vw87VtFHBCGMwBHf/w7zWMSEXkWJi9PfVTFihWpWLGiObtM0pQpU5gyZcoztR0/fjyDBw8GwN3dHScnJw4ePMgHH3zA+vXrWbp0KVZWpuXTOXLkoF+/frz44os4OTmxc+dOxo0bx549e9izZw+2trYm9S8iIpIVuWZ3ZfE7i/lu83d8/OvHRMVEcfruaaqPrY5/N3/eqPqGpUNMUP7tt7m8c2eydQzAXuI3yQu7G4Xzr8f5tGwOSqdDfCIiKWXWpPHSpUts27aNy5cvExERwaeffppwLTo6GqPRiJ2dnVnGypMnDy1btqR69ep4e3szY8aMFC1/3blzJ0OGDMHKyoqffvqJjh07AnDw4EFeeuklVqxYwZdffkm/fv0S2oSGhnL58tPPhypYsGDCkSJVqlShSpUqCdcaNGhAhQoVaNWqFYsXL04YV0RERFLHYDDg29CX2iVq0+6Hdpy+eZqQiBDe/OFN3mvwHl+0+wJ7W3tLh0nZt95i2/DPuHfjBtaJzDnGYkUYTgTy4PuC0UjYz8cY/mIhfimRzsGKiCTDLMtTb926Rfv27XnhhRfo0qULgwYN4rPPPnusTvfu3XFwcGDfvn3mGJJhw4bx+++/8+mnn9K8eXOcnJxS1G706NEYjUZ69uz5WOJWuXJlvvzySyB+JjI6+t/7I/744w/Kli371MfSpUuTHbtly5Y4Ojqyd+/eZ3jHIiIi8qgqblXYNWgX9QrVSyj7bvN31BpXi1PXT1kwsnh2Tk503LIJW9fcGCEhbYwjfgOcMJyYRh+iyBZ/ISYOVp4lst82NmwI4ZvjQZYJXETkP0xOGkNDQ3nxxRdZtGgRhQsXplu3bhQuXPiJej179sRoNPLbb7+ZOuQzCwkJYf369QD4+Pg8cf3NN9/ExcWFoKAgNm3alFDeoUMHjEbjUx/dunVLURwGQ3L7qImIiEhKuTi48HGVj/m+0/cJs4sHLh3Aa5QXCwMWWjg6yF2mDP+7dJYqo77kopMHt8jFRYqxhLZMZAA3eWS3VCMQZwQjfPvtdcZuSttjRUREUsrkpHHixIkcO3aMtm3bcvz4cfz9/SlW7MmtqOvXr4+Dg8NjyVh6CwwMJCoqCnt7e7y8vJ64bmtri7d3/FlQu3fvNvv4K1as4N69ewljiIiIiOkMBgM+dX3YM2QPZQqUASAsMoyus7rid9CP+1GJnyOdXuycnGgy7CO+LziQCQzGj/+xm5r/zjAmwmCA0A2X0jFKEZGkmXxP4+LFi8mWLRszZszAwcEhyXpWVlZ4eHhw8aLlfmt26lT8UhU3NzdsbBJ/6+7u7mzYsCGh7rPq3Lkz7u7ueHl5JWyEM3HiRKpVq0bbtm2TbBcZGUlkZGTC65CQECD+ntBHl8xmdA9jTa+YzTmeKX2ltm1q6qek7tPqJHc9vf/MzEWfNX3W0os+axn/s1Ymfxl2DNjBB798wE+7fwJg3aV11J5QmwU9F1C2YNkUvYe04hIaRXAq6lvdDE+Xz5s+aymro7/XMtZ4Wf2zlt4MRqPRaEoHDg4OlCpVioMHDyaU1atXjx07dhAbG/tY3Vq1ahEYGEhERIQpQyaqW7duzJkzh1GjRjFs2LBE60yaNIkBAwZQo0YNdu3alWidgQMHMnHiRFq2bMnvv//+zPGMGzeO+fPnc+HCBSIiIihSpAivv/46w4cPx8XFJcl2n332GZ9//vkT5fPnzyd79uzPHI+IiEhWsvHSRqYdnkZkbPwvYrNZZ6NPhT40KtrIYjENHHiJEyeS/g5kRyRe7Kcq+3AmFLtcOSnRvhnO9etjlcwv5kUk67h//z6dOnXi7t27yeYU5mbyTKO9vT2hoaEpqnv16tWE3UUt4WGymtwOrtmyxS8VCQ8PN2mswYMHJxzrkdp2H3/8ccLrkJAQihYtSsOGDcmdO7dJMaWn6Oho1q1bR9OmTdPleBFzjmdKX6ltm5r6Kan7tDrJXU/vPzNz0WdNn7X0os9a5vqstaAFXS915fVvX+di6EUiYyP55uA33La/zTftv8HJPmUb6JmTnd0FWrRYlui1vNygD9NwIQQj8fcPxd2+w43vv+fe8uW8+ttv3Ni3j2Pz5nH/xg2y58tH2S5dKN2xI3Yp3AwwKfqspayO/l7LWONl1c9aUJBlNsgyOWksX748u3fv5sKFC4ney/jQgQMHuHjxIs2bNzd1yGdmbx9/g3xUVFSSdR4uDU1uqW1aypYtW0Li+ihbW9tM9ZfQQ+kdtznHM6Wv1LZNTf2U1H1aneSu67OW/uPps5a56LNm/vpp9VmrVLQSk+pOYm3IWmZunwnAT7t/Yu+Fvfza51cqFkmfs6UfevllD3x8KuDvf/ixcjsi6cM0nAjDQPzZjQBWxC8GC716jQW1a0NcHGDAgJHgs+e4umsXe8aM4c0NG8hdpozJ8emzlrI6+nstY42X1T5rlvp8mbwRTufOnYmNjaV3797cv5/4jeZ37tzBx8cHg8FA165dTR3ymeXMmTMhnqQ8vPawroiIiGRe2ayz8cNbP/Bzz59xyhY/I3f82nGqj63O9K3TMfEunVSbMaM569e/Sc2aBROyQy/240JIomc5AlgZ4yAu7kFCGR/vw5+h166zqHFjosLC0iN8EcmiTE4ae/XqRb169Vi3bh0VK1Zk0KBBXL9+HYCZM2fy8ccfU7p0aQIDA2natCkdOnQwOehnVbJkSQAuXrxITExMonXOnj37WF0RERHJ/DrV6MS+YfvwLOoJQER0BL3n9abT9E6EhIekayyNGxdj5863wDF+xqAq+3ha6prUYV2GuFhCr1yhdbWPKdbkV2r1WMO6wBtmjVdExOSk0drampUrV9K+fXvOnTvHpEmTOH36NEajkV69evH1119z69Yt2rVrx5IlS8wR8zOrUqUKtra2REREsH///ieuR0dHExAQAECNGjXSO7zH+Pn5Ua5cOR3PISIiYialCpRi5+CdvNfgvYSyhQELqTq6KoEXA9M9HqvY+FTRmVCTvpAZgRIn/uTihovsmnOEZlXn0nPiHrPEKCICZkgaAZydnVmwYAEHDx5kxIgRtG3bliZNmtC6dWuGDBlCQEAACxcuxNHR0RzDPTMXFxeaNGkCgL+//xPXFy1aREhICLlz56ZBgwbpHN3jfH19OXr0aEISKyIiIqazt7XH7y0/Fr2zCBeH+J0HT984Tc1xNfHb5Jeuy1XtrePnD0NxTmJhaspYAU482JQwzghG8B+0lQ0HNOMoIuZh8kY4j6pYsSIVK6bvTeWpNXToUNasWcOMGTNo0KABHTt2BODgwYMJu5YOGDAg2R1WRUREJHN7o+obeLl50X5ae/Ze2EtUTBT/m/8/Np/YzPSu03HN7prmMZTycOXAgZvsoyrFuPDM/cQBYTg/XmgwMOyb/TSeabkNCEXk+WGWmUZL2L59O3ny5El4LFy4EIg/H/HR8kuXLj3Wrk6dOowaNYq4uDg6depEiRIlqFy5Ml5eXly/fp1XXnmFTz75xBJvSURERNKRe153/hr4F32b9E0oW7xvMV6jvAg4l/YrfSZOfBGA/XgRgguxSXwtS8n9jnup9p9GRq5cTN97NUXk+WVy0rhixQrc3d354osvkq33xRdf4O7uzqpVq0wdEoi//zAoKCjh8fCojPv37z9WHhsb+0TboUOH8vvvv9OoUSOCgoI4ffo0FStW5Ouvv2b58uVYW1ubJUYRERHJ2LLZZuOr9l+xzHdZwuziuVvnqDOhDl+v/zpNl6s2bVocH58KRJGNafQhDCeMkLBUNY74hNGIgVhD4l/ZYrEiBBcCqfL4BSNEhSV9xJiISGqYnDTOnTuXCxcu8NprryVbr3Xr1pw/f565c+eaOiQADRo0wGg0PvVRvHjxRNu3bNmSDRs2EBwczL179zhw4AAffvihEkYREZEsqLVnaw4MP0BN95oARMdG89EvH9HGrw23791Os3EfHsFRomZlFhQZyZ4i3biXuwz37PMQU6g8bsMmcXf+n8TmzvsgoYy/D/JhQhmGE9PoQxRPnvF8bfc1ClSZk2axi0jWYfI9jYGBgeTLlw93d/dk63l4eJA/f3727t1r6pBZgp+fH35+fonOlIqIiIj5FctdjK39tzJs2TAmrp0IwIqDK/Ac6cnCXgup7VE7TcZt3LgYjRsXS3gdHR3NqlWraNGiBba2trQHol49zbH58zkyezbHD57l9n179lKNQKokmjA+dP3ATQZO3c+E973SJHYRyRpMnmm8cuUKbm5uKapbtGhRrl69auqQWYJ2TxUREUl/tja2THhjAn988Ae5nXIDcOn2JepPqs/ENROJizNln9NnZ+fkROXevem0Ywcj712j2K9rCcj5YrIJ40Nffb4jHSIUkeeZyUmjo6MjN2/eTFHdW7dukS3b0/9yExEREbGkFhVbcODTA9QrWQ+A2LhYBi4ZSMupLbkZmrLvPWmp/5ulKeKVnwerVZMVHRTB+IXH0j4oEXlumZw0VqxYkQsXLjx12enevXs5f/48FSpUMHVIERERkTRXJFcRNn6ykWGvDMNgiM/OVh9ejedIT7ae3Grh6KCQmwsYUpA1AoM7/kHpVr+lcUQi8rwyOWns1KkTRqORt956i7NnzyZa59y5c7z11lsYDAY6depk6pAiIiIi6cLG2oZRbUaxtu9a8jnnA+BK8BUaTm7I6JWjiY2z3N4DI9/3glTs7nry97NMWnQiDSMSkeeVyUljjx49qF27NqdOnaJChQp07tyZqVOnMm/ePKZOncpbb71FhQoVOHXqFLVq1aJXr17miFtEREQk3TQt15QDww/QqEwjAOKMcXy6/FNe+volrt29ZpmYquTDZ3z9VLUZOWJ7GkUjIs8zk5NGa2trVq5cSevWrYmIiGD+/Pn07duXbt260bdvXxYsWEB4eDivvfYaK1eu1JEWKeTn50e5cuXw9va2dCgiIiICFHQtyJ8f/cnnrT7H6sG5iRuObcBzpCcbjm2wSEwzBlQn98svpLh++K3wNIxGRJ5XJh+5AeDq6srSpUvZu3cvy5cv59ixY4SEhODs7Ez58uVp06YNXl7a6jk1fH198fX1JSQkhBw5clg6HBEREQGsrawZ/upw6peqT6fpnbh69yrXQ67T9KumDHtlGMNbDsfG2ixfr1Js8tAadF99LkV1HfI4pHE0IvI8MuvfatWqVaNatWrm7FJEREQkw2lQugEHhh+g68yurD2yFqPRyKiVo9hycgvze86ncM7C6RZLtzpF8HuvMnu/O/jUusM/r5MOEYnI88bk5akiIiIiWVE+l3ys+mAV414fh7VV/O03W09uxXOkJ2sOr0nXWAL8mtJzaM1k65R61Z3+b5ZOp4hE5HlictIYHR2dqvoXL140dUgRERGRDMHKyopBLw9iS/8tFMlZBIBbYbd4ecrLDFoyiOiY1H1PMsX00XU5dcqHQYOqU7l2QWxz24PVv0dynNx+GbvSM+g351C6xSQizweTk8Zq1apx+PDhFNWdPXs2lSpVMnVIERERkQyljkcdDgw/QMtKLRPKJqyZQIPJDbgYlH6/MPfwyMm4cfU5sP0tom79Dxs3538v3o4k+mQwX3Rbi8H+S8Z/fyDd4hKRzM3kpPHQoUN4e3vzxRdfJFknKCiItm3b4uPjQ1hYmKlDioiIiGQ4uZ1ys+J/K/jizS8SNsPZcWYHniM9WXFgRbrH02/OIWLOhyR+MTKOwe+tp3T1eekblIhkSiYnjcOGDSMmJoYBAwbQqFEj/vnnn8eu//HHH1SoUIGlS5dSsGBBVq9ebeqQIiIiIhmSwWDg42Yfs33gdornLg7Anft3aO3Xmo9/+ZiomKh0i+WbsbufWudkwHW+mKHlqiKSPJOTxpEjR/LXX39RokQJNm/eTMWKFfnpp5+4f/8+ffr0oVWrVly/fp327dtz+PBhmjZtao64n3s6p1FERCTzqv5CdQKHB/K61+sJZV+t/4p6E+tx7mbKjscwVcztyBTVGzNiRxpHIiKZnVl2T61RowYHDx6kd+/e3L17l7fffpsiRYowY8YMcuTIwc8//8yCBQtwdXU1x3BZgq+vL0ePHiUgIMDSoYiIiMgzcM3uyuJ3FjO141TsbOwA2HNuD1VGVeG3/b+l+fg2ubKlqF54SPpt1iMimZPZjtxwcHBg6tSpNG3aFKPRSHBwMFZWVvz222907NjRXMOIiIiIZBoGg4H/NfofOwbtoETeEgDcDb9L2+/b8v7894mIjkizsT8YUiNF9RxcbNMsBhF5PpgtaTx27Bg1a9Zk/fr12NvbU6pUKWJjY3n11VeZNm2auYYRERERyXSqFqvK/k/30967fULZt5u+pfb42py+cTpNxpz8dkXyNy/+1HpDP6+dJuOLyPPDLEnjN998Q7Vq1QgMDMTT05N9+/Zx6NAhPvnkE8LDw3nvvfdo0aIF165dM8dwIiIiIpmOi4MLC3otYFqXaWSziV86GngxEK9RXizcszBNxry2+g0GzH0Z7K0TvV7KOz+f9KyYJmOLyPPD5KTxpZde4qOPPiIqKorBgweze/duypYti62tLZMmTWLjxo24ubmxZs0aKlasyKJFi8wRt4iIiEimYzAY6F2/N3uG7qF0gdIAhEaE0nF6R/rM60N4VLjZx5zQpTzG8I/oPrE+OP27FLVarYKc2NPF7OOJyPPH5KRx3bp1vPDCC2zdupUxY8ZgY2Pz2PX69evz999/07VrV4KCgnR/o4iIiGR5lYpUYu/QvXSp+W/S9uPWH6kxtgbHrx1PkzFfeLk4fNsYbOK//l25di9NxhGR54/JSaOPjw8HDx6kVq1aSdZxdnZm9uzZLFmyhFy5cpk6pIiIiEim52TvxJwec5jZbSYOdg4AHLp8iJrja7Lpn01mHavH7isMPxQEdtbg5gzAlXMh2FeaRfa839O+/WmcCkyj31d7zTquiDwfTE4ap0+fjqOjY4rqvvbaaxw+fNjUIUVERESeCwaDge51urN36F7KFyoPwP2o+0w5MIWec3tyL9L02cB1V8OYdfZu/IvNl+DhcyDyUBAxd6OIjDQSdTuCLz7ejMHhK8YvPGbyuCLy/DDb7qkplS9fvvQeMlPy8/OjXLlyeHt7WzoUERERSWPlCpVjz5A9+NT1SSibu2su3mO8OXzZtF+4Dz90M/7J1Xsw/e+nN4iIZXDHPyjd6jfWBd6gVo81FGvyK7V6rMFnwi6cy83EkGMKBoevsMs5lcKVZjN7edrsACsiGUOqk8a5c+eydu3aRK+FhIRw//79JNt+++23fPzxx6kdMkvy9fXl6NGjBAQEWDoUERERSQfZs2VnxtszmN1tNvbW9gAcu3oM7zHezNg2A6PR+Ez9XgmPiX+y5RIYDClud/L3szSrOpddc45wceNFds06zMxBfxF27DaERENELNHBkVw5dIvubZZRv92KZ4pPRDK+VCeN3bp1Y+zYsYlec3V15eWXX06y7S+//MKUKVNSO6SIiIhIltGpeie+qPcFlYpUAiAiOoJec3vReUZnQiNCU91fIYcHmxTeDIfUJp5GIM4Y//Mpti06yU9/nE11fCKS8T3T8tTkftP1rL8FExEREZF4hZ0K81f/v3i3wbsJZfP3zKfqqKocuHggVX2NrJg3/kleh1TNND6LT4fvSNP+RcQy0v2eRhERERF5Ontbe7576zt+6f0LLg4uAJy6cYqa42ry3abvUvyL+qYFnfBxzwEvFk39TGMq3blh/nMmRcTylDSKiIiIZGDtvNuxf9h+qharCkBkTCS+831pN60dd+/ffUrreDNqFGJ9p7Lkfb8KGACrtJlxzJnPIU36FRHLUtIoIiIiksGVyFeC7QO382HjDxPKFu9bTJVRVQg4l7JN8xoXcOTGlMas39+Vmm+XJ9eLRcAzL9iYL4EcNbK22foSkYxDSaOIiIhIJpDNNhtfd/iape8txTW7KwDnbp2jzoQ6fL3+6xQvV23smY+dM5sTtLkDp7Z2ZOjujnz+eSGylXLFOo8DTmVzMfHXV/GZUP/fWckU5JX13ixF51fcn/0NikiGZWPpAEREREQk5dpUaUMVtyp0+LEDu87uIjo2mo9++YhNxzcxq/sscjnmSnFfHs52jKiYl1WXHAkd/Ca2traPXe/YrDjDvtnPlYshFHJzoWK5XCyYeZiwy2FwPxpi4hPVDj3Ks8D/ZaKjo836XkUkY3impPHGjRvMnTv3ma6JiIiIiGmK5S7G1v5bGbpsKJPWTgJgxcEVVBlZhYW9F1KrRC2zjNPYMx+NZzZ/rOzHftUZdOAGE9adhwFbAbj9zz2zjCciGdMzJY2nTp2ie/fuT5QbDIYkr0H8cRyGNN7qWURERCQrsLWxZeIbE3mx1Iu8PettgsKCuHj7IvUn1Wfsa2P5pOknWFml4Z1IhZ0glz3cjmDLlkvcvx/NfyYqReQ5keqk0c3NTYlfOvDz88PPz4/Y2FhLhyIiIiIZ2CuVXuHApwfoOL0jf53+i5jYGAYsHsDmE5uZ030OeZzzpM3ABgNUzgubLhEZGcvWrf/QuHGRtBlLRCwq1Unj+fPn0yAM+S9fX198fX0JCQkhR44clg5HREREMrAiuYqwqd8mRqwYwbjV4zAajaw6tArPkZ4s6LWAeqXqpc3AleKTRoC1a88raRR5Tmn3VBEREZHngI21DWNeG8OaD9eQ1zkvAJeDL9NgcgPG/DGGuLg4s411O+rBSqgKeRJ2Vv12+kEa9F7HlStRZhtHRDIGJY0iIiIiz5Fm5ZtxcPhBGpZuCECcMY5hy4bRfEpzrodcN7n/WWeDmXEmOP5FwDV4cNJHzL0Ydsw+ynvvXeDdL/eaPI6IZBxKGkVERESeMwVdC7Lu43WMeHVEwl4U646uw3OkJ5uOb3rmfk+FRtFz99X4PPHqPfjx70Tr+Q/azoYDNxi/8BjO5WZik88P53IzGb/w2DOPLSKWo6RRRERE5DlkbWXNZ60+Y/1H6ymQowAA1+5eo8mXTfh8xefExqV+s72ZZ4JJ2A/xjzPJ1m3ecgmDO/5B2LHbxN4MJ+zYbQZ3/IPSrX4zWzJ55UoUDXqvo1iTX6nVYw3rAnW8m0haUNIoIiIi8hxrVLYRB4YfoGm5pkD8ctXPfv+Mpl825Wrw1VT1df5eNMYHy1E5fifZujGXEz+78eTvZxNNJiu+viJVsfT5Yi/vvXeBHbOPcnHDRXbNOkwzr7nkq/WTkkcRM3umcxpFREREJPPI75KfNR+uYdzqcQxfPpw4YxybTmzCc6Qns7vNTnE/xR1t42cajSRsgGMuJ1aeY162nOy5dhgHBzscsllj/+CRPZs1DtlscLC3Jns2Gw6eucOswdsT7efmrms0qzoXn/H1mTGgunmDFMmiUpU0bt26lRw5clC5cuW0ikdERERE0oCVlRVDXxlK/ZL16Ti9I5eDL3Mj9AavfPsKb5R4g2YvNcPW1jbZPnqUcGXisaD4F6VzweUws8a4ZMkdWLLB9I6M4D9wKzt2XeFeSBSOTrY4XLpC2y7fYYw1krOwE5MnNaBbaw/TxxLJAlK1PLVBgwZ88MEHj5U1atSIvn37mjMmEREREUkj9UrV48DwA7xc4WUAjEYji04votmUZvxz+59k25Z0tsO/RkGsAMMr7mafbTS3Y8tOc3HDRY4tP8P+/eHEhkYTdz+GoFPBdG+zjFJNfrF0iCKZQqpmGg0GwxNn/GzevJmYmBizBiUiIiIiaSePcx5Wvr+SL9Z9weDfBhMbF8tfp//Cc5Qnc3vMpUXFFkm27ebuSt282fE/E8wvH1Xl3Ff74i88WLJqAKq9VZqAn06kOq58+Wyo3KkikdFGoqPiiI6OTfgZExVHTHQsMdFxXPzrHwhPwUY+xuQvn9pwidKdfufE/FdTHatIVpKqpNHV1ZULFy6kVSwiIiIikk6srKzo/1J/ahavyevfvs6tiFsEhQXxyjev0P+l/oxpMwZbm8SXq3o42zHOMx/jPPOxoUt5hn2znysXQyhS1IkuNe7h49OcCnejOfn72VTF5Oubj8GD6z91mWy515ZxbNnpVPWdlJMLTjD3/ap0rJbXLP2JPI9SlTTWqlWL1atX07ZtW5o1a4aDgwMAN27cYO7cuSnup2vXrqmLUkRERETSRE33mnxV/yt+ufYLK/9eCcCktZP46/RfLOy1ELfcbsm2b+yZj8YzmwMQHR3NqlWrADix4nUmLTrByBHbCb8VjkMeB4Z/XocZ844kmkyWbvkClSun7KvplOG1abb89FNnElNq8JR9dJzX3DydiTyHUpU0jh07lh07drB06VKWLVuWUH7q1Cm6d++e4n6UNIqIiIhkHM52zizps4Tvtn7HgMUDiI6NZueZnfG7q3afTSvPVs/Ub/83S9P/zdJPlCWWTPZt456QcD5N0yr58BlXh5mDt/97BIgJru+7bnonIs+xVCWNlSpV4sSJEyxcuJDjx48THh7O7NmzyZcvH82b67czIiIiIpmVwWCgb5O+1ClRh3bT2nE+6Dx37t+htV9r+jbpy4S2E7CzsTPLWIklk9HR0anq4/uPq1Etxz/M2+3I6eN3uH83kuw5spG7QHaOLT+TqlnI2NPBFK3/C3ULR5Kt8A2aVyucqlhEnnepPqcxb968vP/++wmvZ8+eTcmSJZk1a5ZZA8vq/Pz88PPzIzY2BTd5i4iIiJiJ9wveBA4PxGeOD7/t/w2Ar9d/zfbT2/ml9y+8kPcFC0f4r4IF7dj8Y9Mn7oHsOXEP/oO2gsEAcSnLHq/vusYSYMmSBVjlzEbpF4syZXhtmlbJlwaRi2QuqTpyIzEjRoxI1dJUSRlfX1+OHj1KQECApUMRERGRLMY1uyuL31nMt52+TZhdDDgfQJVRVRISyYxsxoDqrN/flZpvl8etsRsOBR1T1T7uTiTHlp2mWdW59Jy4J42iFMk8lDSKiIiIyBMMBgO+DX3ZOWgnJfKWAOBu+F3aft+W9+e/T0R0hIUjTF5jz3zsnNmcC+vb8b/OZZ+tEyP4D9rKhgM3zBucSCZjctL4XydPnmTlypUsWLCAlStXcvLkSXMPISIiIiLpxKuYF/s/3U977/YJZd9u+pba42tz+oZ5jr1Ia926lXv2xkZo0WopDXqv48qVKPMFJZKJmC1pnDZtGu7u7pQtW5bWrVvTuXNnWrduTdmyZSlRogTTp08311AiIiIiko5cHFxY0GsB07pMI5tNNgACLwbiNcqLhXsWWji6pytZMifvv58fDM/WPupSKDvmHsPX9wLvfrnXvMGJZAJmSRq7d+/Oe++9x/nz57Gzs6NEiRLUrl2bEiVKYGdnx7lz53jnnXe0jFVEREQkkzIYDPSu35s9Q/dQukD8zqehEaF0nN6RPvP6EB4VbuEIk9e4sQtHj7xNh+7lyf1CDrIXSt19jsQZMRrBf9B2yr2+jHWBWrIqWYfJSeP8+fOZM2cO2bNnZ+LEidy8eZOTJ0+ybds2Tp48yc2bN5k4cSKOjo7MnTuXBQsWmCNuEREREbGASkUqsXfoXjrX7JxQ9uPWH6k5riYnrp+wYGRP5+HhyoKZL3PrbC/uXX4Xnwn1n6mfY0tP08xrLvlq/USxJr9q6ao890xOGqdPn47BYGDJkiX069cPJyenx647OTnRr18/Fi9ejNFo1DJVERERkUzOyd6JuT3mMrPbTBzsHAD4+5+/qTm+Jpv/2WzZ4FJhxoDqrA/silXObM/U/uaua1zceFFLV+W5Z3LSePDgQdzd3WnWrFmy9Zo1a4aHhweBgYGmDikiIiIiFmYwGOhepzsBQwIoVzB+o5l7kff4+sDX9JrXi3uR9ywcYco09sxH9TYln70DI48tXe05YbfZYhPJKExOGiMiInB1dU1RXRcXFyIjI00dUkREREQyiPKFy7Nn6B661/l374o5O+dQfUx1jlw+YsHIUm7k+15m68t/0DZKt8r4Z1mKpIbJSaObmxuHDx/m1q1byda7efMmR44cwc3NzdQhRURERCQDcczmyMxuM5n59kzsre0BOHr1KN5jvZm1fRZGo9HCESavaZV8+IyvY7b+Tv5+lkmLMvb9nSKpYXLS2KpVKyIjI2nfvj03b95MtM6NGzdo3749UVFRtG7d2tQhRURERCQD6lyjM5PrTaZCoQoAhEeF02N2D7rO7EpYRJiFo0ve9x9X4/vvi+HWqCg42YKtaV+TR47YbqbIRCzPxtQOBg0axMKFC9m8eTPFihXjzTffpFy5cuTLl48bN25w9OhRFi1aREREBEWLFmXgwIHmiFtEREREMqAiTkXYPmA7A34bwLSt0wD4addPBJwP4Nc+v1KpSCULR5i0ggXtOL2mBba2tgCUbvUbJ38/+0x9hd/K2EeQiKSGyUljrly52LhxIx07dmTfvn3MmzcPg+Hfk1MfLkfw9vZm/vz55MqVy9QhRURERCQDc7Bz4IcuP9CgdAN6z+tNaEQoJ66doPqY6nzT8Rt61ev12PfFjOrEiteZtOgEI0ds5/61e7gaYjAWzUno9fvEXLufbFurbNbpFKVI2jM5aQTw8PAgICCADRs28Oeff3Ly5EnCwsJwcnKiVKlSvPTSSzRq1MgcQ4mIiIhIJtGhegeqFqtK+x/bE3gxkMiYSPrM68Om45uY1mUaLg4ulg7xqfq/WZr+b5YmOjqaVatW0aJFCzYfvkMzr7mWDk0k3ZglaXyocePGNG7c2JxdioiIiEgmVjJ/SXYM2kH/Rf35dtO3ACwMWMjeC3v5pfcveBUz386l6aVplXzx9z2GRSdZJyYiNh0jEklbJm+EIyIiIiKSHHtbe6Z2msridxaTwyEHAKdvnKbW+Fp8u/HbDL+7amKsCzkme90qV7Z0ikQk7SlpFBEREZF00bZqW/Z/uh/v4t4ARMVE8f6C93nzhzcJvh9s2eBSqe47nsleL/9aSWr1WEOxJr9Sq8ca1gXeSJ/ARNKAkkYRERERSTfued35a+Bf9G3SN6Fsyf4l1BhXg1PBpywXWCp1q14g2et/Twhg16zDXNxwkV2zDtPMay49J+5Jp+hEzEtJo4iIiIikKzsbO75q/xXLfZeTM3tOAM4FnWPw9sF8s/GbTLFc9esv96W6jf/ArWw4oBlHyXyUNGZQfn5+lCtXDm9vb0uHIiIiIpImWnm2InB4IDXdawIQY4yh3+J+tPFrw+17ty0cXfLO7bv+TO3eH7TFzJGIpD0ljRmUr68vR48eJSAgwNKhiIiIiKSZYrmLsbX/Vj5p+klC2YqDK/Ac6cnOMzstGFnybK2e7ZzJMzuvmjkSkbSnpFFERERELMrWxpZxr41jmPcwcjvmBuDS7UvUm1iPiWsmEhcXZ+EIn9SkQdFnameMzXjvReRpTE4aV69enSnWnYuIiIhIxlYtfzUChgRQ16MuALFxsQxcMpCWU1tyK/SWhaN73KjBNZ6pna2LjuKQzMfkpPGVV16haNGiDBo0iGPHjpkjJhERERHJoorkLMKmfpsY2mIoBkP8EtDVh1fjOdKTbSe3WTi6f5UsmZNZs5qnul241vlJJmTyx7Z8+fJcuXKFSZMmUaFCBWrWrMkPP/xAcHCwGcITERERkazGxtqG0a+NZm3fteR1zgvA5eDLNJjcgDF/jMkwy1W7davAqVM+NGjljrOzFQYHG7BO/l5HY0TGiF0kNUxOGg8dOsTevXvx9fUld+7c7NmzB19fXwoWLEiHDh1Ys2aNlq+KiIiISKo1LdeUg8MP0rB0QwDijHEMWzaM5lOacz3k2XYvNTcPj5z8ufhV5s0rQeRdX3ghR/INcmp5qmQ+Zpkg9/Ly4ptvvuHKlSv89ttvtGrViri4OH799VdeeeUVihQpouWrIiIiIpJqBV0Lsu7jdXz26mcJy1XXHV2H91hv/r71t4Wje5JNu1LJX2+f/HWRjMisq6ptbGxo06YNS5cu5cqVK0yZMgVPT0+uXr2asHy1Ro0aWr4qIiIiIilmbWXNiFYj2PDxBgrkKADAtZBrjNg1gpErRxIbF2vhCP/VrGlxKJA98YsFsvNSk+LpGY6IWaTZrbi5c+fm/fffZ8+ePYwfPx5ra2uMRiMBAQH4+vpSqFAhfHx8OHfuXFqFICIiIiLPkYZlGnJg+AGalmsKgBEjo1eNpumXTbkanDHOP3zzbhRcu5/4xWv3Kbj+PIUrzcaxwHcUrjSb2ctPp2+AIs8gzZLGI0eOMGDAANzc3Bg8eDAxMTHkyZOHDz74gHbt2gEwa9YsKlasyLZtGWcnLBERERHJuPK75GfNh2sY2WokVg++ym46sYnKIyvz55E/LRwdfD1ie7LXZ4zZw5VDt7h//T5XDt2ie5tl1G+3Ip2iE3k2Zk0ag4KCmDp1KtWqVaNSpUpMnjyZGzdu0Lx5cxYtWsTly5f5+uuvWbBgAf/88w++vr7cv3+fAQMGmDMMEREREXmOWVlZMaj5IEbVGkVh18IA3Ay9SfMpzRm6dCgxsTEWi+3U6eBUt9m26CRzV2jGUTIuk5PGmJgYli1bxmuvvUbhwoXp27cv+/fvx8PDgzFjxnDx4kX++OMP2rZti62tbUK7XLlyMXXqVEqWLMnBgwdNDUNEREREspjyucsTMCSAlyu8DIDRaGTsqrE0+qIR/9z+xyIxRcU82/2Vvu+uM3MkIuZjctJYqFAh2rZty/Lly7G1taVr165s2bKFEydOMHjwYAoWLJhs+4IFCxIZGWlqGCIiIiKSBeVxysPK91cy8Y2JWFtZA7Dt1DY8R3my6tCqdI/HLof9M7ULu3rPzJGImI/JSeOtW7eoWbMm06dP5+rVq8yaNYt69eqluP2UKVPYuHGjqWGIiIiISBZlZWVF/5f6s23ANtxyuQEQFBbEK9+8woDFA4iOjU63WErVK5xuY4mkFxtTOzh+/DilSj37eTOVK1c2NQQREREREWqVqEXg8EC6z+rOioPxm8tMWjuJbSe34ePuky4xTBxai2a/nQJj6tplc7FLm4BEzMDkmcZr166l+J7Ev//+m61bt5o6pIiIiIhIonI55mKZ7zK+av8Vttbx+2nsOreLj7Z+xO9//57m4zetkg+f8fXBQPyDR34mY9SE+mkZlohJTE4aGzRowAcffJCiuh9++CGNGjUydUgRERERkSQZDAb6NunL9oHbKZ67OABh0WG0/aEtH/3yEVExUWk6/owB1Vm/vys1u1XArbEbNbtVYPb2jpDUbKKDDQO/2Ishjx/WpWbgM12bRErGYpYjN4zGlM+/p6auiIiIiMiz8n7Bm8DhgbTxbJNQ9vX6r6k7oS7nbp5L07Ebe+Zj58zmXFjfjp0zm+O3/TKEJJGshsdgPBUMQeHEnQpmZu915Gj2a5rGJ5IaZj2n8WmCgoJwcHBIzyFFREREJAtzze7KL71+oXeF3tjZxM/0BZwPoMqoKizZtyTd4gj48e9U1Q9Zd5He/qlrI5JWUr0RTkhICMHBwY+VRUZGcunSpSRnEcPDw9myZQuHDx/WxjciIiIikq4MBgMtirfAp6UPnfw7cebmGe6G3+WNH97At6Evk9+cjDXWaRvEndQfMec/YQ8/+lRKg2BEUifVSeNXX33FyJEjHyvbu3cvxYsXT1F7H5/02blKRERERORRVdyqsP/T/fSe15tfAn4BwG+THzvO7ODnHj+n6diGXNkwBoWnqk3cbZ1lLhlDqpNGV1dX3NzcEl5fvHgROzs7ChQokGh9g8GAg4MD7u7utG/fns6dOz97tCIiIiIiJnBxcGFBrwU0KtOIDxZ8QGRMJIEXA6kxvga9y/amBS3SZNxqvSsR0D91pwhY5cqWJrGIpFaqk8YPP/yQDz/8MOG1lZUV3t7eOkpDRERERDIFg8FA7/q9qelek3bT2nHi2glCI0L5IvAL7s6/yzcdv8HBzrz7cPzcx5NSf5yFzf+kuI3PwOpmjUHkWZm8Ec6sWbMYMmSIOWJ5Ls2fP59q1arh4OBA7ty5adq0Kbdu3bJ0WCIiIiJZXqUildg7dC9danZJKJvx1wxqjK3B8avHzTpWSWc7Zvk3h8HVwcMVcjvE/yzilGh9+/K5dD+jZBgmJ41vv/02zZs3N0csz50JEybQvXt3mjdvzqpVq5gzZw6VK1cmMlLr00VEREQyAid7J+b0mMP0LtOxs4rfXfXQ5UNUG1ONeTvnmXWsbu6unBpck0GLWtFheRt6T24AV8ISrRt57DanT98x6/gizypVy1MvXrwIgK2tLQULFnysLDUevSfyeXXy5EmGDRuGn58fvXv3Tihv2bKlBaMSERERkf8yGAy8Xettwi+G8/3J7zl29Rj3Iu/RdWZXNp3YxNSOUxMSSlN5ONsxzjMfAB3e3wAYgCdPIDBi4NMp+1kwtbFZxhUxRaqSxuLFi2MwGChTpgxHjhx5rCylDAYDMTExqYsyE5o1axb29vZ069bN0qGIiIiISAq4Obuxc+BOPl70MTO3zwRg1vZZ7D67m599zL+76qq/b0ASR9ZhNMZfF8kAUrU81c3NDTc3t4RZxkfLUvooWrSoWQI/d+4c06dPp1evXlSuXBkbGxsMBgOjR49OUftVq1bRpEkTcuXKhaOjI15eXkydOpW4uDizxLdz505Kly7NnDlzKFasGDY2NlSpUoW1a9eapX8RERERMb/sdtnx7+bP3B5zcczmCMDRq0epPaE26y+uT/Jc8mdxz9Uekpp8MRgIc7U321gipkjVTOP58+dTVJYepkyZwpQpU56p7fjx4xk8eDAA7u7uODk5cfDgQT744APWr1/P0qVLsbIy7XbPa9eucfnyZUaMGMGECRPIly8fX331Fa+++iqHDh2idOnSJvUvIiIiImmnS60ueBf3pt20dhy6fIjw6HC+/ftbbs+5zbQu03CyT3wDm9SwbliUuBVnEr8YZ8S6kXkmW0RMZfJGOJaSJ08eWrZsyciRI1m9ejVt27ZNUbudO3cyZMgQrKysmD9/PmfOnOHgwYPs37+f/Pnzs2LFCr788svH2oSGhnL8+PGnPu7evZvQJjY2lrCwMGbMmEGXLl146aWXWLp0Kbly5WLy5Mlm/W8hIiIiIuZXpmAZdg/ZTZ/6fRLK5u+ZT9XRVfn7n79N7r9AaFTyFRadpFiTX6nVYw3rArVUVSwn0yaNw4YN4/fff+fTTz+lefPmODml7Lc9o0ePxmg00rNnTzp27JhQXrly5YRkcfz48URHRydc++OPPyhbtuxTH0uXLk1okytXLgAaNmyYUObg4EDNmjU5evSoSe9dRERERNKHg50DP3T5gXk95uFgE39248nrJ6k+pjrTtkwzbbnqnOS/E0Zvv8LFjRfZNecIzarOpefEPc8+logJnmn3VFNZavfUkJAQ1q9fD4CPj88T1998803effddgoKC2LRpE82aNQOgQ4cOdOjQIVVjlS9fnoCAgCfKjUYjERERzxC9iIiIiFhK+2rtCTsXxrTT0zhw6QCRMZG889M7bDqxCb8Ofs/U57WLd59eyUjCZjn+g7bSsVlxGj/YfVUkvTzT7qmmsOTuqYGBgURFRWFvb4+Xl9cT121tbfH29mbDhg3s3r07IWl8Fi1btmTWrFls2LAh4ZiN+/fvs3PnTtq0afPM/YqIiIiIZRR0LMjWflsZsmwI3276FoBfAn5h3/l9vFvm3VT3FxubyllKI/T7ai+Bc1qkeiwRU6QqaXRzczM5abSkU6dOAfHvw8Ym8bfu7u7Ohg0bEuo+qzZt2lC9enV69uzJ+PHjEzbCuXfvHp988kmS7SIjI4mMjEx4HRISAkB0dPRjS2YzuoexplfM5hzPlL5S2zY19VNS92l1krue3n9m5qLPmj5r6UWfNX3W0os+axn7s2aNNV+++SV1PerS56c+3A2/y+mbpxkYNBDywf8a/S/F35cdHW0JDU3df6tj+66Z7bOhz1rG/qwl9/daejMYzblvsAV169aNOXPmMGrUKIYNG5ZonUmTJjFgwABq1KjBrl27Eq0zcOBAJk6cSMuWLfn9999NiunWrVv069ePFStWEB4eTo0aNZg4cSLVq1dPss1nn33G559//kT5/PnzyZ49u0nxiIiIiIj5XLt3jS/2f8Gpu/9ONtQsUJP/Vf4fTrZP329j8uSr/PVXWKrGzJHDijlzSqQ6Vnk+3L9/n06dOnH37l1cXFzSbdxUzTRmdg/vJbSzs0uyTrZs2QAIDw83ebw8efIwe/bsVLUZPHgwH3/8ccLrkJAQihYtSsOGDcmdO7fJMaWX6Oho1q1bR9OmTbG1tc1U45nSV2rbpqZ+Suo+rU5y19P7z8xc9FnTZy296LOmz1p60Wctc33WOr/WmUG/DeLbzfHLVXdd28W16Gv87PMz3sW9k42rZMk7VKgwl9RM4dy9b6RFC/MsT9VnLXN91gCCgoKeGm9ayFJJo719/AGpUVFJb2/8cGmog4NDusT0X9myZUtIXB9la2ubqf7Beyi94zbneKb0ldq2qamfkrpPq5PcdX3W0n88fdYyF33WzF9fn7XE6bNm/vpp8VmztbXly3Zf4hLmwvdHv+fO/TucDzpPgy8aMKHtBPo26ZvkctVy5fIxc2ZzfHzWEBeXorcA0Uazfy70WTN//bT6e81Sf5dl2iM3nkXOnDkBuHPnTpJ1Hl57WFdERERE5GmqF6jOnsF7qFWiFgDRsdF8/OvHtPFrw+17t5Ns161bBU6c8GHQoOp06FAmvcIVSZVnOnLD1taWggULPlaWGpY6cqNkyZJAfMwxMTGJboZz9uzZx+qKiIiIiKREsdzF2NJvC8OWDWPi2okArDi4As+RnizstZDaHrUTbefhkZNx4+oDsHDh8XSLVySlnunIjTJlynDkyJHHylLKkkduVKlSBVtbWyIiIti/f/8TG9JER0cnnK1Yo0YNS4SYwM/PDz8/P2JjYy0ah4iIiIiknK2NLRPemMCLpV+k68yuBIUFcen2JepPqs/Y18bSr1k/rKySXuxnZW0gLrmjOAxQrMmvFHJzYeT7XjStojMbJe0905EbD2cZHy3LDFxcXGjSpAmrV6/G39//iaRx0aJFhISEkDt3bho0aGCZIB/w9fXF19eXkJAQcuTIYdFYRERERCR1WlRswYFPD9BpRie2ndpGbFwsA5cMZPOJzczpMYe8znkTbWdXyJGIS8nsqGqEixsuchFoNuswPhPqM2NA0jvzi5hDqpLG8+fPp6gsIxs6dChr1qxhxowZNGjQgI4dOwJw8ODBhF1LBwwYkOwOqyIiIiIiT1MkVxE2frKRz1Z8xtjVYzEajaw+vDphuWq9UvWeaOPsU5GIz3ameAz/gVvp2Kw4jT014yhpJ9NuhLN9+3by5MmT8Fi4cCEA48aNe6z80qVLj7WrU6cOo0aNIi4ujk6dOlGiRAkqV66Ml5cX169f55VXXuGTTz6xxFsSERERkeeMjbUNo18bzdq+a8nnHJ/YXQm+QoPJDRjzxxji/rNtaolahaBBkVSN8f7nO8wWr0hiMm3SGB0dTVBQUMLj4VEZ9+/ff6w8sXsChw4dyu+//06jRo0ICgri9OnTVKxYka+//prly5djbW2d3m9HRERERJ5jTcs15cDwAzQs3RCAOGMcw5YNo/mU5lwPuZ5Qb2TFvNC7MgyuDh6ukNsBbJP/yn5m3/Vkr4uYymznNEZGRrJw4ULWrl3LyZMnCQ0NxdnZmVKlStGsWTM6dOiQcE6iOTRo0ABjak5C/Y+WLVvSsmVLs8UjIiIiIpKcgq4FWffxOkavHM3nKz/HaDSy7ug6PEd68rPPzzQq24imBZ3wcc+BP0DFB/c99t8Cl5O5z1EkjZllpnHHjh2ULVuWHj16sHDhQvbv38+pU6fYv38/CxcuxMfHh7Jly7J9+3ZzDJcl+Pn5Ua5cOby9vS0dioiIiIiYibWVNSNajWDDxxsokKMAANfuXqPJV034bMVnxMbFMqNGIdY3dKNmbnvcsttgXy5Xsn2WqJY/HSKXrMzkmcYjR47QtGlTwsPDKVCgAD179qRs2bLkz5+fGzducOzYMfz9/blw4QLNmjVj9+7dVKhQwRyxP9e0e6qIiIjI86thmYYcGH6ALv5dWHd0HUajkc9//5wtJ7cwv+d8GhcoSOMCLwCwzi0HzdbPhcQW2Rlg6vDEz38UMReTZxqHDRtGeHg4nTt35sKFC4wcOZKOHTvSqFEjOnTowOeff865c+fo0qUL4eHhDB8+3Bxxi4iIiIhkavld8rPmwzWMaTMGK0P81/LNJzZTeWRl/jzyZ0K9plXy4TO+fqJ9+Iyvr51TJc2ZnDRu3boVFxcXfvzxR2xtbROtY2try7Rp03BxcWHz5s2mDikiIiIi8lywsrJiyCtD2NxvM4VdCwNwM/Qmzac0Z+jSocTExgAQB/Dfo9Ezx1Hp8hwwOWmMioqidOnST93kxt7entKlSxMdHW3qkCIiIiIiz5V6pepxYPgBXq7wMgBGo5Gxq8bScHJD5m/9m1mDtj65PNUI/oO2suHAjfQPWLIUk5PGsmXL8s8//6So7qVLlyhfvrypQ4qIiIiIPHfyOOdh5fsrmfjGRKyt4o+A++v0X7z90WdJzyoaDAz7Zn+6xShZk8lJY9++fbl69SpTpkxJtt4333zDtWvX6Nu3r6lDioiIiIg8l6ysrOj/Un+2DdiGWy43AGKCHcAYl3gDo5ErF0PSMULJikzePbVTp05cvnyZgQMHsmXLFt577z3Kli1Lvnz5uHnzJseOHeO7777jjz/+YOLEiXTo0MEccT/3/Pz88PPzIzY21tKhiIiIiEg6q1WiFoHDA+k+qzsrAu6Q+NapgMFAITeXdI1Nsp5UJY3W1tbJXl++fDnLly9P8vrAgQMZNGgQMTExqRk2S9KRGyIiIiJZWy7HXCzzXcZ7dl/wwztxxCeO/1mnajQy+gMvS4QnWUiqlqcajUaTH3FxSUyti4iIiIjIYwwGA9/37kerQS+AwciDfVQfMNJtXG0duSFpLlVJY1xcnFkeIiIiIiKScsvHvsmyna/j6HX938JCJzkc/SFnb561XGCSJZi8EY6IiIiIiKS91jU8uLN7ImR/cH9jUFH2nttHlVFVWLJviWWDk+eakkYRERERkUzC1saawt5F419EZofbhQgJD+GNH97gf/P/R0R0hGUDlOeSybunPnTv3j1+//13Dh48yO3bt4mOjk60nsFgwN/f31zDioiIiIhkKXUbFOWXLfHnpBeMbsNV/ADw2+THjjM7+KX3L5TMX9KSIcpzxixJ48KFC3n33XcJCfn3jBijMX7a3GAwPFampFFERERE5Nl1benOL5/vBCD6Zk2mDajEhws/JCI6gsCLgVQdXZUfu/xIh+o66k7Mw+TlqTt37qRLly7ExsYydOhQPDw8AJg+fTrDhw+nVatWGAwG7O3tGTNmDDNnzjQ56KzAz8+PcuXK4e3tbelQRERERCQDae6VH6uc2QC4dfAmnbx7sHvIbkoXKA1AaEQoHad3pM+8PoRHhVsyVHlOmJw0Tp48mbi4OH7++WdGjhxJvnzxW/76+Pjw2WefsXTpUg4fPoy7uzt+fn40b97c5KCzAl9fX44ePUpAQIClQxERERGRDMTKygo37wLxLyJjmbfhApWKVGLv0L10qdklod6PW3+kxtgaHL963EKRyvPCLDONefLk4dVXX02yTpkyZViyZAlXr15lxIgRpg4pIiIiIpKlNWjolvB88ZpzADjZOzGnxxxmdpuJg50DAIcuH6LamGrM2znPInHK88HkpDEoKAg3t38/tHZ2dkD8xjiPKlWqFOXLl2f16tWmDikiIiIikqX5vFoi4fn+vy4nPDcYDHSv052AIQGUK1gOgHuR9+g6sys9ZvfgXuS9J/oSeRqTk8bcuXMTHv7vWuk8efIAcObMmSfqxsbGcv369SfKRUREREQk5eqWz4NVbnsAgv++iXfXP1gXeCPhevnC5QkYGkCPOj0SymZtn0X1MdU5cvlIuscrmZvJSWPx4sW5evVqwmsvLy+MRiM///zzY/UOHjzIyZMnyZs3r6lDioiIiIhkaT0m7iEu6MGZjEbYO+8Yzbzm0nPinoQ62bNlx7+bP/N85uGYzRGAo1eP4j3Wm5l/zUw47UDkaUxOGps2bUpwcDBHjsT/xqJTp07Y29szefJkOnfujJ+fH8OHD6dx48bExcXRtm1bk4MWEREREcmq1gXeYNbArYle8x+4lQ0HbjxW1rlmZ/YO3UulIpUACI8Kx2eOD91mdyM8RrurytOZnDS2a9eORo0aceLECQCKFi3K999/j42NDfPnz+eDDz5gzJgx3L59mxo1ajB69GiTgxYRERERyareHbAp2et9+m9+oqxMwTLsGryLPvX7JJQtCFjAJ9s+4eA/B80dojxnbEztoHz58qxbt+6xsrfffpt69erx66+/cv78eRwcHKhbty5t2rTB2tra1CFFRERERLKsszuvJnv9zOZLFGvyK4XcXBj5vhdNq8Qfiedg58APXX6gQekG9J7Xm9CIUK7cu0LdiXWZ0mEKvev3xmAwpMdbkEzG5KQxKe7u7gwaNCitun/u+fn54efnR2xsrKVDEREREZEMxBj5lO+HMUYubrzIRYOBZrMP4zO+PjMGVE+43KF6B6oVr0a7H9oReCmQyJhI3vnpHTad2MSPXX7ExcEljd+BZDYmL0+VtOHr68vRo0cJCAiwdCgiIiIikpFkS8HKPSMQZwQj+A968j5Hj3webO23lRbFWySU/RLwC16jvNh/Yb+ZA5bMzmxJY2RkJHPmzKFTp05Uq1aN0qVLU61aNTp16sTs2bOJiIgw11AiIiIiIlmWY5X8qWtgMNDvq71PFGezzUbvCr1Z2GshORxyAHDm5hlqja/Ftxu/1e6qksAsSeOOHTsoW7YsPXr0YOHChezfv59Tp06xf/9+Fi5ciI+PD2XLlmX79u3mGE5EREREJMtq+aFX6hoYjZw9H5Lk5dervE7gp4F4F/cGIComivcXvM8bP7xB8P1gEyKV54XJSeORI0do2rQp58+fJ3/+/AwbNoyff/6Z9evXM3/+fD799FMKFizIhQsXaNasGYcPHzZH3CIiIiIiWdKol16APpUgpXvWGAyQ1yHZKi/kfYG/Bv7FR00+Sij7bf9vVBlZhT3n9iTTUrICkzfCGTZsGOHh4XTu3Bl/f39sbW0TrdOzZ0/mzZvH8OHD+e2330wdVkREREQkSyrpbMesAdXpUToXxs2X4GY4OFjDpkvx9zL+l9GITcOiT+3XzsaOL9t/SYPSDeg2qxt37t/hfNB56k6oy4S2E+jbpK92V82iTJ5p3Lp1Ky4uLvz444+JJowAtra2TJs2DRcXFzZv3mzqkCIiIiIiWVo3d1dO9qzEoM/r0GHSizi9Uxl6V3q8kpUhfjaydyXsCzunuO9Wnq0IHB5IrRK1AIiOjebjXz+mtV9rbt+7bcZ3IZmFyUljVFQUpUuXxt7ePtl69vb2lC5dmujoaFOHFBERERHJ8jyc7RjnmY8FdQpTIUc2eLEouNrFX7S1gpbu8EUDeLEobtlTt8CwWO5ibOm3hQEvDUgo+/3g73iO9GTH6R1mfBeSGZicNJYtW5Z//vknRXUvXbpE+fLlTR1SREREREQeMbJi3vgn1g++3jvZQocyUMARgNGV8qW6T1sbWya8MYE/PviD3E65Abh0+xL1J9Vn4pqJxMXFmSV2yfhMThr79u3L1atXmTJlSrL1vvnmG65du0bfvn1NHVJERERERB7RtKATPu45Er3m456Dxg+Sx2fRomILDnx6gHol6wEQGxfLwCUDaTm1JTdDbz5zv5J5mJw0durUiQkTJjBw4EBef/111q9fz+XLl4mOjubKlSts2LCBtm3bMmDAACZOnEiHDh3MEbeIiIiIiDxiRo1C5MlmnfDa0drA+oZuzKhRyOS+i+QqwsZPNjK0xdCEzXBWH16N50hPtp7canL/krGlanGztbV1steXL1/O8uXLk7w+cOBABg0aRExMTGqGzZL8/Pzw8/MjNjbW0qGIiIiISCbhYP3vnJARaJAvu9n6trG2YfRro3mx9It0ntGZG6E3uBJ8hYaTGzKy9UgGvzwYKyuzHAMvGUyq/lSNRqPJD619ThlfX1+OHj1KQECApUMRERERkUzofqyRM2FRZu+3abmmHBh+gIalGwIQZ4xj2LJhNJ/SnOsh180+nlheqpLGuLg4szxERERERCTtHQyOTJN+C7oWZN3H6/js1c8SlquuO7oOz5GebDy2MU3GFMvR/LGIiIiIyHPqYHBEmvVtbWXNiFYj2PDxBgrkKADAtbvXaPJVE0YsH0FsnG6zel4oaRQREREReU4dvJM2M42PalimIQeHH6RpuaZA/C1tI1eOpMmXTbgSfCXNx5e0Z/ak8eTJk6xcuZIFCxawcuVKTp48ae4hREREREQkGQbil4ym5Uzjo/K55GPNh2sY02YMVob4FGPzic14jvTkzyN/pksMknbMljROmzYNd3d3ypYtS+vWrencuTOtW7embNmylChRgunTp5trKBERERERSYbtg2/5l+7HcDsyfZaJWllZMeSVIWzut5nCroUBuBl6k+ZTmjN06VBiYnWCQmZllqSxe/fuvPfee5w/fx47OztKlChB7dq1KVGiBHZ2dpw7d4533nmH7t27m2M4ERERERFJRHR0/KaTsWHRsPA4XL3H3+k02/hQvVL1ODD8AC0qtgDil6uOXTWWpl835Vb4rXSNRczD5KRx/vz5zJkzh+zZszNx4kRu3rzJyZMn2bZtGydPnuTmzZtMnDgRR0dH5s6dy4IFC8wRt4iIiIiIPGLWrENcu3YPgNjIWFhxBj7ZzI8zD6d7LHmc8/D7/35n4hsTsbGOPxp++5ntfLT1I1YfXp3u8YhpTE4ap0+fjsFgYMmSJfTr1w8nJ6fHrjs5OdGvXz8WL16M0WjUMlURERERETM7deoOPj5rE722YOg2Tp++k84RxS9X7f9Sf7b234pbLjcAQqNDaf1dawYsHkB0THS6xyTPxuSk8eDBg7i7u9OsWbNk6zVr1gwPDw8CAwNNHVJERERERB4xeXIARmMSF43x1y2lVolaBA4PpGWllgllk9ZOov6k+lwIumCxuCTlTE4aIyIicHV1TVFdFxcXIiPTfttfEREREZGsZNu2f5K9vnVr8tfTWi7HXCzps4Qe5Xpga20LwK6zu6gysgrLDyy3aGzydCYnjW5ubhw+fJhbt5K/qfXmzZscOXIENzc3U4cUEREREZFHREUlv0Pq6UuhrAu8kU7RJM5gMNDKvRVbPtnCC3leAODO/Tu08WtD34V9iYqJsmh8kjSTk8ZWrVoRGRlJ+/btuXnzZqJ1bty4Qfv27YmKiqJ169amDikiIiIiIo9wdrZL9np0WDTNvObSc+KedIooadWKV2P/p/tp69U2oWzKhinUGV+HszfPWjAySYrJSeOgQYMoUqQImzdvplixYrz99ttMmDCBWbNmMWHCBN5++22KFy/O5s2bKVKkCAMHDjRH3M89Pz8/ypUrh7e3t6VDEREREZEMrnBh5xTV8x+4lQ0HLDvjCOCa3ZVF7yzi207fYmcTn/DuvbCXKqOqsHjfYgtHJ/9lY2oHuXLlYuPGjXTs2JF9+/Yxb948DAZDwnXjgztyvb29mT9/Prly5TJ1yCzB19cXX19fQkJCyJEjh6XDEREREZEMrGLFPKxefY64uKR2w/nX+5/v4OjSNmkf1FMYDAZ8G/pSu0Rt2k1rx+kbpwkJD+HNH97kvQbv8UW7L7C3tbd0mIIZkkYADw8PAgIC2LBhA3/++ScnT54kLCwMJycnSpUqxUsvvUSjRo3MMZSIiIiIiPxHjx4VmTgxZTukntl3PY2jSZ0qblXYN2wffeb1YWHAQgC+2/wdO8/u5Jfev1Ayf0kLRygmJ40XL14EoEiRIjRu3JjGjRubHJSIiIiIiKRcyZI58fd/CR+ftU+dbYy6FU6tHmsY8V7FdIru6VwcXJjfaz4NyzTkw4UfEhEdQeDFQLxGeTG963Q6VO9g6RCzNJPvaSxevDg1atQwRywiIiIiIvKMunWrwIkTPbAr4pR8xfAYds05wsvVF7BhQ0j6BJcCBoOB3vV7s3vIbkoXKA1AWGQYHad3pM+8PoRHhVs4wqzL5KQxR44cFCtWDCsrk7sSERERERETeHjkpECVfE+vGGcEI0ydeh3PdistfhzHoyoVqcTeoXvpUrNLQtmPW3+kxtgaHL963IKRZV0mZ3oVK1ZMWKIqIiIiIiKW5RgVB4an13vo6PIzNKuaMY7jeMjJ3ok5PeYws9tMHOwcADh0+RBVR1dl7o65Fo4u6zE5afzwww+5du0aM2fONEc8IiIiIiJignrlc4MhFVmjMf7hPyhjHMfxkMFgoHud7uwdupdyBcsBcD/qPm/Pepuec3sSERNh4QizDpOTxrZt2zJ+/Hh8fX356KOP2L9/P+HhWm8sIiIiImIJ/d7xTM1E478MBoZ9s9/c4ZisXKFyBAwNoEedHgllc3fNpf9f/Tly5YgFI8s6TE4ara2tGTx4MFFRUXzzzTd4e3vj5OSEtbV1og8bG7Oc8iEiIiIiIokoWTInM/1fwsrKgMHakPKlqkYjFy9knI1xHpU9W3b8u/kzz2cejtkcAbgUdonaE2oz86+ZCWfDS9owOWk0Go2pesTFxZkjbhERERERScLDnVQH9vemQ/syVGpQ9OnJo8EAeR3SJb5n1blmZ/YN20fFwvHHhYRHh+Mzx4cu/l0IjQi1cHTPL5OTxri4uFQ/REREREQkbXl45GTcuPosWNCSg5vas35/V5ybFUu6gdFIqVdLpF+Az6h0gdL81f8vXnJ7KaHs590/U210NQ5eOmjByJ5fOidDRERERCQLaOyZD98JL2LoU+nJWUcDGHpXomb5PBaJLbUc7Bx4t9K7/NTjJ5ztnQE4ef0kNcbWYNqWaVquambPfIPh/fv3WbduHadOnQLAw8ODpk2b4ujoaLbgRERERETEfHqUcGXii0Uxls4FA7ZAjBGcbGFkHQwFHPEp4WrpEFOlXbV21ChRg/bT2rP/4n4iYyJ556d32Hh8I9O7TsfFwcXSIT4Xnilp/OOPP+jevTtBQUGPlefKlYvp06fTpk0bc8QmIiIiIiJmVNLZDv8aBfHZfZU4WyuIicWQww5DAUf8axTEw9nO0iGmmkc+D3YM2kG/Rf34dtO3APy691f2XdjHr31+xauYl4UjzPxSgtXfrwAAMklJREFUvTz16NGjvPHGG9y6dQs7OzvKly9PuXLlsLOzIygoiA4dOvD333+nRawiIiIiImKibu6unGj5772L1gYDJ1qWoJu7q+WCMlE222xM7TSVxe8sJodDDgDO3DxDrfG1mLphqparmijVSeMXX3xBZGQkTZs25fz58/z9998cOnSIc+fO0bhxY6Kiovjyyy/TIlYRERERETEDD2c7DA9ubLQ2kClnGBPTtmpbAj8NxLu4NwBRMVF8sPAD3vjhDYLvB1s2uEws1Unjli1byJYtGz/99BP58+dPKC9QoAA///wzdnZ2bNmyxaxBioiIiIiIpMQLeV/gr4F/8VGTjxLKftv/G1VGVmHPuT0WjCzzSnXSeOXKFUqWLEnevHmfuJYvXz5KlizJtWvXzBKciIiIiIhIatnZ2PFl+y9Z7rucnNlzAnA+6Dx1JtTh6w1fa7lqKqU6aYyIiMDV1TXJ666urkRFRZkSk4iIiIiIiMlaebbiwPAD1CpRC4CY2BgGLBnA2L1juX3vtoWjyzx0TqOIiIiIiDy33HK7saXfFga8NCChLOB6AN5jvdlxeocFI8s8nunIjRs3bjB37twkrwHMmzcvyWnfrl27PsuwWYqfnx9+fn7ExsZaOhQRERERkUzN1saWCW9MoEHpBnSd2ZVbYbe4dOcS9SfVZ+xrY+nXrB9WVppPS8ozJY2nTp2ie/fuydbp1q1bouUGg0FJYwr4+vri6+tLSEgIOXLksHQ4IiIiIvIcOXXqDsbo+MmJmOBITp26Q8mSOS0cVdp7ueLLBAwJ4JXJr3D09lFi42IZuGQgm09sZk6POeR1fnLfFnmGpNHNzQ2DwZAWsYiIiIiISBqbNesQPXv+CXHxqwJjQ6MpU2Ym/v4v0a1bBQtHl/YKuxZmVM1R7DXuZfya8RiNRlYfXo3nSE8W9FpA/VL1LR1ihpPqpPH8+fNpEIaIiIiIiKS1U6fu0LPnn8TFPX4bWVycER+ftdStWxgPj+d/xtHayprPW3xOwzIN6TyjMzdCb3Al+AoNJzfk81afM7jFYKytrC0dZoahhbsiIiIiIlnEzJmHktx3xGg04u9/KJ0jsqym5ZpyYPgBGpZuCECcMY5Pl39K86+bcz3kuoWjyziUNIqIiIiIZBG79t8gqSMKjUbYFXgjfQPKAAq6FmTdx+v47NXPEm7DW39sPZ4jPdl4bKOFo8sYlDSKiIiIiGQRJ6+GJXt9647L1OqxhnVZLHm0trJmRKsRbPh4AwVyFADg2t1rNPmqCZ+v/JxYY9Y+0UBJo4iIiIhIVuFkl+zluNBods05QrOqc+k5cU86BZVxNCzTkIPDD9KsXDMgfsnumFVjGLFrBFeCr1g4OstR0igiIiIikkW4lckFTzsIIc4IRvAftJUNB7LWjCNAPpd8rP5wNWPajMHKEJ8uHQ46jPdYb/488qeFo7MMJY0iIiIiIlnEyPe9Ul7ZCG06rcxyS1UBrKysGPLKEDb320xh18IA3Ay7yUtfv8SQ34YQExtj4QjTl5JGEREREZEsommVfPiMrx8/22j19LPXw47dzrJLVQHqlapHwJAAquarmlA2bvU4Gk5uyD+3/7FgZOlLSaOIiIiISBYyY0B11u/vSu2uZSlSxPbpy1Wz8FJVgDxOeRjqPZRxr43Dxjr+mPu/Tv+F5yhP/vj7DwtHlz6UNIqIiIiIZDGNPfOx+cemDBlSKGUNDAaGfbM/bYPKwKwMVnzS9BO29t+KWy43AILCgmg5tSX9F/UnOibawhGmLSWNIiIiIiJZVKFCdviMq5OC2UYjVy6GpEtMGVmtErUIHB5Iq8qtEsom/zmZ+pPqcyHoggUjS1tKGkVEREREsrDvP67G+v1dcSqbK+lKBgOF3FzSL6gMLJdjLpb5LuPr9l9ja20LwK6zu/Ac6cmKgyssHF3aUNIoIiIiIpLFNfbMx28/t0x6xtFoZPQHqdh59TlnMBj4sMmHbB+4nRfyvABA8P1g3pj2BjOOzCAqJsrCEZqXkkYREREREfnPzqqPX+s2ti6NPfNZJK6MzPsFb/Z/up+2Xm0TylaeW8mLk1/k7M2zFozMvJQ0ioiIiIgI8O/OqjXfroCVa7aE8ry5HCwYVcbmmt2VRe8swq+TH3Y2dgDsu7iPKqOqsHjfYgtHZx5KGkVEREREJEFjz3zsnNmcz79tnFA2bWrW3Tk1JQwGA+81fI9t/bdRMHtBAELCQ3jzhzfx/dmXiOgIC0doGiWNIiIiIiLyhCEdy2BX1BmAkMNBzF3//O4Oai5Vilbhi3pf0K5au4Sy7zZ/R61xtTh1/ZQFIzONkkYREREREXmClZUVb/aulPB6+MQ9Fowm88hum5153efxY5cfsbe1B+DApQN4jfJiwe4FFo7u2ShpFBERERGRRH3zoRcG5/j79C5svMje03csHFHmYDAY6FW/F7uH7KZ0gdIAhEWG0WlGJ979+V0iYyMtHGHqKGkUEREREZFE5XLORu0O8UkPsUbeH7vbsgFlMpWKVGLv0L10qdklocx/uz8D/hrA8WvHLRhZ6ihpFBERERGRJH07qAZYxx/guHvRCW7czVyzZJbmZO/EnB5zmNltJg528bvQXgi9QM3xNZm7Y66Fo0sZJY1ppEGDBhgMhkQf48ePt3R4IiIiIiIp4unuinuz4gAYw6L58Ot9lg0oEzIYDHSv0529Q/dSrmA5AO5H3eftWW/TfVZ37kXes3CEyVPSmEa+++47du7c+djjvffeA6BFixYWjk5EREREJOXGDqqe8HzJ9L+JiY2zYDSZV7lC5dgxcAeNi/57nMnsHbOpPqY6Ry4fsWBkyVPSmEbKlStHzZo1H3sEBARQsWJFKlWq9PQOREREREQyiPb1i+JaOS8A0ZfDGP3zUQtHlHllt8vO+5XfZ9bbs3DM5gjA0atH8R7rjf82f4xGo4UjfJKSxnRy6tQpAgIC6Ny5s6VDERERERFJtfc+8Ep4/s2U/RaM5PnwVo232DdsH5WKxE8ohUeF03NuT7rN7kZ4TLiFo3tcpk0az507x/Tp0+nVqxeVK1fGxsYGg8HA6NGjU9R+1apVNGnShFy5cuHo6IiXlxdTp04lLi5tptp/+uknrKys6NSpU5r0LyIiIiKSlj5/uzy2BeNnxu7sv8Hiv/6xcESZX+kCpdk1eBd96vdJKFsQsIBPtn3CwX8OWjCyx2XapHHKlCn07t2bGTNm8PfffxMbG5vituPHj+eVV15hw4YN5MyZEw8PDw4ePMgHH3zAa6+9liaJ4/z583nxxRcpUqSI2fsWEREREUlrNtZWtO5ZMeH1kPF7LBjN88PBzoEfuvzAwt4LcbZ3BuDKvSvUnViXHzb/kCGWq2bapDFPnjy0bNmSkSNHsnr1atq2bZuidjt37mTI/9u797ioqrUP4L9hgIEBBwQEMUUEUQHjJheRSuiYlzSJJLOTHVHzWGb5Hq3UhCNeSvLSzV47pb7BOYpmVuZdSkmPCmVeMA6iQCB4K0QUlTs87x9+Zh/GmQ3MMOwBfL6fz3yKvdba+1l7nj3Omn1Zb78NMzMzpKamoqCgAFlZWTh16hRcXFywc+dOvP/++xptbt++jdzc3BZft27d0rnNzMxM5Ofn86WpjDHGGGOsU1v7t2DIbCwAAHkHipBdpPv7L9PfcyHP4VTCKQT2CQQA1NTX4JXNr2DS55NQUVVh0tg67aAxPj4eu3btQkJCAkaPHg1bW9tWtVu+fDmICC+99BKef/55Ybm/v78wWExKSkJdXZ1QtmfPHnh7e7f4+vbbb3Vuc9OmTbCyskJsbGwbeswYY4wxxphp9exuheAJXvf+qG/E7Pf4bKMx9XfujyNvHMFY97HCsm2/bEPQsiCcvGi6qU467aDREBUVFfjhhx8AANOnT9cqf/bZZ6FSqVBWVob09HRh+aRJk0BELb7i4uK01llfX49t27bhqaeegkqlare+McYYY4wxJoW1bw8FzGQAgCOp53Dzbq2JI+paFBYKzBg8A1/O+BJ21nYAgILSAgxLGob1x9abJKYHatB4+vRp1NbWwsrKCkFBQVrlFhYWCAkJAQD89NNPRtnmgQMHUFpaypemMsYYY4yxLiFsoAP6RPUBAFBFLf629rSJI+qaYgJjcDrhNELc741PautrsXDXQpPEYm6SrZpIXl4eAMDNzQ3m5rq77uHhgYMHDwp122rTpk1wdHTEmDFjWlW/pqYGNTU1wt/q+yRv3LhhlHikUldXh8rKSpSVlcHCwqJTba8t69K3rT71W1O3pTrNlUv9nhkL5xrnmlQ41zjXpMK5xrkmlbbEPf+VQZh9sBgAsHXdKayc7gEzs+bPR3Guta5O03KVhQrfvfQdlu1fhk+PfirUkfrhOA/UoLG8vBwA0L17d9E66jJ13ba4c+cOdu7cibi4uFYn84oVK7BkyRKt5QMGDGhzPIwxxhhjjBlbdQng7DzL1GE8UMrKymBnZyfZ9h6oQWN1dTUAwNLSUrSOQqEAAFRVtX1CTVtbW9y9e1evNgsXLsTcuXOFv2/evIm+ffuiuLhY0sQwhpCQEJw4caJTbq8t69K3rT71W1O3pTpi5RUVFejTpw9KSko63f23nGvGr8+5phvnmvHrc67pxrlm/Pqca7pxrhm/fnvm2q1bt+Dm5gYHB4dWxWIsD9Sg0crKCgBQWyt+s6760lBra2tJYrqfQqEQBq5N2dnZdboPIblcLmnMxtxeW9alb1t96rembkt1WipXqVScaxJuj3ONc02q7XGuca5JtT3ONc41qbb3IOdaS5cCG9sD9SCc1lx62ppLWFnrvPrqq512e21Zl75t9anfmrot1ZH6fZEC55rx63Ou6ca5Zvz6nGu6ca4Zvz7nmm6ca8av3xVzTUZS30XZTuLi4pCSkoJly5YhPj5eZ53Dhw8jMjISVlZWuH37ts6H4YwYMQIHDx7E0qVLkZCQ0N5ht6iiogJ2dna4detWp/vlinUunGtMKpxrTCqca0wqnGtMKqbKtQfqTGNgYCAsLCxQXV2NU6dOaZXX1dUJ1w6HhYVJHZ5OCoUCixcv1nnJKmPGxLnGpMK5xqTCucakwrnGpGKqXHugzjQCwJNPPol9+/bhr3/9Kz777DONstTUVLzwwgtwdHTElStXmn1gDmOMMcYYY4w9CB6oM40AsGjRIshkMmzYsAFbtmwRlmdlZQlPLX3rrbd4wMgYY4wxxhhj6MSDxmPHjsHJyUl4bd26FcC9eQ6bLi8pKdFoFxERgWXLlqGxsRF//vOf4enpCX9/fwQFBeH333/H2LFjMW/ePFN0ySiKiooQHR2Nbt26oXv37njxxRdx/fp1U4fFuphLly7htddeQ1hYGKysrCCTyUwdEuuitm/fjpiYGLi5uUGpVMLX1xdr1qxBXV2dqUNjXcyBAwcQGRkJZ2dnKBQK9O3bFzNmzMDly5dNHRrrwurr6+Hn5weZTCZ8l2XMWH788UfIZDKtV3BwsN7r6rRTbtTV1aGsrExreWVlJSorK4W/GxoatOosWrQI/v7++OCDD3Dy5Elcu3YNDz/8MKZOnYrZs2dDLpe3a+zt5c6dO4iKioKjoyO2bNmCqqoqLFiwAGPHjkVGRobkj+ZlXVd+fj6++uorhISEICwsDEeOHDF1SKyLWr16Nfr06YOkpCS4urri+PHjiI+Px9mzZ5GSkmLq8FgXcuPGDYSGhuL111+Ho6Mj8vLysHTpUhw6dAjZ2dkmm4qLdW0fffQRSktLTR0G6+I2bNgAX19f4W9bW1u919Fl7mlkwJo1a7Bo0SIUFhbC1dUVAHDixAmEhobim2++QUxMjIkjZF1FY2Oj8CNEUlISFi5cCP4oYe2htLQUPXr00Fi2fPlyJCQk4Nq1a3BxcTFRZOxBkJaWhlGjRmH//v0YNWqUqcNhXczly5fh7e2NTz75BFOmTMGWLVswadIkU4fFupAff/wRUVFRyMjIwNChQ9u0Lj711IXs3r0bUVFRwoARAEJCQjBgwADs2rXLhJGxrobPWjOp3D9gBIAhQ4YAAK5cuSJ1OOwB4+joCAA6p+hirK3mzJmD8ePH47HHHjN1KIy1iL/5tbPCwkKsX78eM2bMgL+/P8zNzSGTybB8+fJWtd+7dy9GjBgBBwcH2NjYICgoCGvXrkVjY6NW3ZycHI1Tz2q+vr44d+5cm/vCOjYpc4092Eyda//+979haWkJT0/PtnSDdQKmyLWGhgbU1NQgJycHb775JgIDAzF8+HBjdYl1UFLn2v79+5GWloZVq1YZsxusEzDF51p0dDTkcjl69uyJmTNnory8XP/AibWrOXPmEACt17Jly1psu2LFCqG+h4cH+fn5kZmZGQGg8ePHU0NDg0Z9CwsLneudPn06DRgwwGh9Yh2TlLmmqy17cJgq14iIcnJySKlU0uzZs43VHdaBmSLXBg4cKLQLDg6ma9euGbtbrAOSMteqqqrI09OTVq9eTUREhYWFBIC2bNnSLn1jHYuUuXbq1Cl64403aNeuXZSenk7vvvsudevWjQICAqi2tlavuPlMYztzcnLCuHHjsHTpUuzbtw8TJkxoVbuMjAy8/fbbMDMzQ2pqKgoKCpCVlYVTp07BxcUFO3fuxPvvv6/VTtdTLInvNXsgSJ1r7MFlqlwrKytDTEwMPD09kZSUZKzusA7MFLn29ddfIyMjA8nJybh9+zaeeOIJVFRUGLNbrAOSMtfeffddWFpa4vXXX2+PrrAOTspcCwwMxKpVqzBu3DhERkZi4cKF2Lx5M86cOYPt27frF7heQ0zWZlOmTGnVrwlPPvkkAaC//vWvWmWbN28mAOTo6KjxK4GzszPNmzdPq35MTAwNHTq07cGzTqU9c60pPtPIpMi127dvU2hoKPXt25cuX75stNhZ5yLV55paSUkJyeVyWrVqVZviZp1Pe+VaUVERKRQK2r59O5WXl1N5eTllZWURANq4cSPdvHmzXfrDOi6pP9caGxvJxsaG5s6dq1ecfKaxA6qoqMAPP/wAAJg+fbpW+bPPPguVSoWysjKkp6cLy319fZGTk6NVPycnB97e3u0XMOu0DM01xvTVllyrqalBTEwMfvvtNxw4cAC9evWSJGbWORnzc613797o2bMn8vPz2yVW1rkZkmuFhYWoqalBbGwsunfvju7du8Pf319YBz8RmunSHt/X9J1jmweNHdDp06dRW1sLKysrBAUFaZVbWFggJCQEAPDTTz8Jy8eNG4f09HRcu3ZNWHby5EmcP38eTz31VPsHzjodQ3ONMX0ZmmsNDQ14/vnnkZmZib1792LgwIGSxcw6J2N+rhUUFODKlSv80CWmkyG5FhAQgPT0dI3Xli1bAAAJCQlIS0uTrgOs0zDm59rOnTtx9+5doX5r8TOkO6C8vDwAgJubm+hjvj08PHDw4EGhLgDMmDEDa9euxfjx47F48WJUV1dj/vz5CA0NRXR0tCSxs87F0FwDIFwLn52drfG3j48PfHx82itk1kkZmmuvvvoqvv32WyxbtgwNDQ3IzMwUyjw9PXVOycEebIbmWkxMDIYMGQI/Pz/Y2toiJycHq1evRu/evXX+ss+YIblmb2+PyMhIjTpFRUUA7v37ydNvMF0M/VybPHkyPDw8EBQUBFtbW2RkZGDlypUIDg5u9b2Uajxo7IDUj8Ht3r27aB11WdNH5nbr1g2HDh3CnDlz8Nxzz8Hc3Bzjxo3DBx98wPPqMZ0MzTXg3qUQuv5evHgxEhMTjRgl6woMzbX9+/cDuPcLfEJCgkb9L774AnFxcUaOlHV2huba0KFD8eWXX2LVqlWor6+Hm5sbJkyYgPnz58PBwaF9g2adUlv+DWVMH4bmmq+vL1JTU/Hhhx+iuroavXv3xsyZM/H3v/9d7/lnedDYAVVXVwMALC0tResoFAoAQFVVlcbyfv36YefOne0XHOtS2pJrxE/lZXowNNfUv8Az1lqG5tr8+fMxf/789g2OdSlt+Te0KXd3d/43lTXL0FxbuHAhFi5caJQY+PRTB2RlZQUAqK2tFa1TU1MDALC2tpYkJtY1ca4xqXCuMalwrjGpcK4xqXSEXONBYwfUmksZWnOamrGWcK4xqXCuMalwrjGpcK4xqXSEXONBYwfk5eUFACguLkZ9fb3OOr/99ptGXcYMwbnGpMK5xqTCucakwrnGpNIRco0HjR1QYGAgLCwsUF1djVOnTmmV19XV4cSJEwCAsLAwqcNjXQjnGpMK5xqTCucakwrnGpNKR8g1HjR2QCqVCiNGjAAAbNy4Uav8q6++QkVFBRwdHbUe28yYPjjXmFQ415hUONeYVDjXmFQ6Qq7xoLGDWrRoEWQyGTZs2CBM+goAWVlZmDt3LgDgrbfeavYpSoy1BucakwrnGpMK5xqTCucak4rJc41Yuzp69Cg5OjoKL4VCQQBIqVRqLC8uLtZqu3z5cgJAAMjDw4P8/PzIzMyMANDYsWOpvr7eBD1iHRXnGpMK5xqTCucakwrnGpNKZ801HjS2s/T0dOHNbe5VWFios/2uXbvo8ccfJzs7O1IqleTv708ffvghfwAxLZxrTCqca0wqnGtMKpxrTCqdNddkRDybKGOMMcYYY4wx3fieRsYYY4wxxhhjonjQyBhjjDHGGGNMFA8aGWOMMcYYY4yJ4kEjY4wxxhhjjDFRPGhkjDHGGGOMMSaKB42MMcYYY4wxxkTxoJExxhhjjDHGmCgeNDLGGGOMMcYYE8WDRsYYY4wxxhhjonjQyBhjjDHGGGNMFA8aGWOMMcYYY4yJ4kEjY4x1EZGRkZDJZPjxxx9NFkNRURFkMhnc3d1NFsODIDExETKZTONVVFRk6rA6FXt7e439FxcXZ+qQOjx3d3eduRYXFweZTIbk5GS919mWtowx6fCgkTEmCfWXjZZe/MWBsdbr06cPIiIiEBERASsrK1OH06mEh4cjIiICXl5ebV5X3759YW9vj7q6uhbrqgdJzb2efvppg2MpKipCYmJih/gsPXPmDBITE7Fjxw5Th8IYayNzUwfAGHuweHl5wdnZWbTcxcVFwmi6Fjc3NwwcOBBKpdLUoTCJTJs2DYmJiaYOo1Pat28fACA5ORlTp041eD1ZWVkoLi7GxIkTYWFh0ep2zs7OogNWHx8fg+MpKirCkiVLMHz4cMnOnrq6umLgwIGws7PTWH7mzBksWbIEU6ZMER0Ii7VljHUsPGhkjEnq7bff5svA2sk///lPU4fA2ANn9+7dAIBx48bp1W7MmDEd4mygMaxYsQIrVqyQvC1jTDp8eSpjjDHGmIF2794NMzMzjBkzxtShMMZYu+FBI2Osw6uvr8f69esRFRUFR0dHWFlZwcPDAxMmTMB3332nVb+urg5r165FaGgoVCoVbGxs4O/vj3feeQeVlZVa9e9/eMumTZsQHBwMpVIJBwcHPPvss/jtt99E4ysuLsYrr7yCfv36QaFQwMnJCWPGjBEuf7uf+iEmiYmJKCsrw6xZs9C7d29YW1vD398fW7duFepevHgRU6dORa9evWBtbY0hQ4Zgz549Otfb0oNwTpw4gcmTJ8PNzQ0KhQIuLi4YNmwYVq5ciVu3bon2T5fDhw9jxIgRUKlUsLOzQ1RUFL7//vtm22RmZuKtt95CcHAwnJ2doVAo0KdPH7z44ov4z3/+o7NNe+2r3377De+99x4iIyPRp08fKBQK9OjRA6NHjxZto3bw4EE8/vjjUKlUsLe3x5/+9CccOnSoxYcAVVZW4r333kNwcDBUKhWUSiUCAgKwatUq1NTUNLtNQzTNh7NnzyI6OhpOTk5QqVQYMWIEfvnlF6Huv//9b4wePRoODg7o1q0bxo4di9zcXNF169uXlh520vR9FlteWlqK2bNnw93dHRYWFhpXLOh7zBvL9evX8fPPP2Po0KFwcnIy+vqzs7OxePFihIeHw9XVFZaWlnB1dcUzzzyD48ePa9WPjIxEVFQUgHvHaNP7JJvm5c2bN7Fx40ZER0ejf//+sLa2hp2dHcLCwvDxxx+jvr5erzh1vb/u7u7CZb8pKSkasURGRjbbtqnc3FxMmzYN7u7uUCgUcHR0xNixY3Ho0CGd9cvKyvDGG29g0KBBsLKygo2NDdzd3TF69GisW7dOr34xxpogxhiTQN++fQkAffHFF3q1u3HjBkVERBAAAkB9+/al4OBgcnZ2Fv5uqrKykh5//HGhvre3N/n5+ZGZmRkBoICAALp+/bpGm8LCQmFdCxYsEP7f39+fFAoFASBXV1cqLS3Vii8zM5Ps7e0JANnY2NCQIUOod+/ewvYTEhK02ixevJgA0Ouvv079+/cnS0tLCgoKooceekhol5KSQrm5ueTs7ExKpZKGDBlCTk5OBIDkcjl9//33WusdPnw4AaD09HStsvfee49kMhkBIJVKRUOGDCFPT0+ysLAQbSNmy5Ytwv50dHSk4OBgcnBwIDMzM0pKStL5vhAReXp6Cm0GDx5M/v7+ZGdnRwDI2tpaZwztta+mT59OAMjW1pYGDBhAwcHB5OrqKqwzKSlJZ99TUlKE/ejk5EQhISHk6OhIZmZmtGrVKtG+X7p0iXx8fAgAmZubU//+/cnb25vMzc0JAD3yyCNUWVnZ6vdAvV8WL14sWkedD0lJSWRtbU329vY0ZMgQYZ9369aNsrOzadu2bWRubk7Ozs4UFBRESqWSAFCPHj3o2rVrRunLlClTmj3+xfqjXj5r1ixyc3MjuVxOfn5+5OfnR9OmTSMiw475pr744gsCQFOmTBGtIyY5OZkA0LvvvtvqNup90Zrt/elPfyIAZG9vT97e3hQUFKSR25s3b9aoP3v2bBo8eLBwnEdERAiv2NhYod6//vUvAkCWlpbUt29fCgkJIQ8PD2GfjR07lhoaGrTiUX+OFxYW6uxT0/c3NjaWvLy8CAA5OztrxDJ79uxm26p9+eWXZGlpKeRrQEAA9ezZkwCQTCajjz/+WKP+zZs3hc8ZS0tL8vHxoaCgIHJ2diaZTEZ2dnYt7nPGmG48aGSMScLQQePTTz9NAMjT05MyMzM1yvLy8mjlypUay+bNm0cAqFevXnTy5EmNuoMGDSIANHHiRI026kGjubk5qVQq2rt3r1B29epV8vPzIwA0f/58jXZ3794lNzc3YZ0VFRVCWXJyMsnlcgKgsT6i/34RtrCwoKioKPr999+FMvWgy9XVlUJDQ2nSpEnCehsaGmjmzJkEgEJDQ7X2ldigcceOHcKXzDVr1lBtba1GHz7//HPKycnRWp8uly5dIltbWwJACxYsoLq6OiIiqq2tpb/97W/CIFTXwCklJYUKCgo0ltXV1dGGDRvI3NycPDw8tL6otte+2rt3L2VmZlJjY6PG8iNHjpCrqyvJ5XLKz8/XKLt48aIwoIqPj6f6+nqhDwsWLBDte0NDAw0bNowA0KRJkzQGYiUlJfToo48SAHrjjTd07XKd9Bk0WlhY0Ny5c6mmpoaIiKqrqyk6OpoAUGRkJNnb29OaNWuEfV9eXk6hoaEEgN566y2j9KWtg0a5XE7h4eFUUlIilFVVVRGRYcd8U20ZNMbGxhIAOnv2bKvb6DNo/Oqrr7TW3djYSDt27CBbW1tSqVQanztEROnp6QSAhg8fLrrerKws2r17N1VXV2ssLygooMcee4wAUHJyslY7fQaNRK3bt2Jts7KySKFQkJWVFX3++ecanw07d+4klUpFcrmczpw5IyxfvXo1AaCRI0dSWVmZxvouXrxIH3zwgWgcjLHm8aCRMSYJ9ZeNll7l5eVCm59//pkAkEKhoAsXLrS4jVu3bglf6r/99lutcvX6ZDKZxoBAPWgEQGvWrNFqt3PnTgJAfn5+GsvXr19PAMjFxUX4AtvUrFmzCAA9+uijGsvVX4Stra3p8uXLGmX19fXCmUpXV1e6e/euRnl5eTlZWVkRAK0vRWKDRvVZoaVLl2rFqK/4+HgCQCEhITrL1QNsXYPG5kyePJkA0LFjxzSWt9e+as6GDRsIAL3zzjsay9VnoUeMGKGznXr/3993df6EhIQIg+ymrly5Qra2tmRra9vqs436DBoDAwO1Bsfnz58Xcj46Olqr7f79+3XmvKF9aeugUaFQaL3/RIYf800ZOmisra0llUpFbm5uerVT74vmXq2hPhbvP9vYmkFjc/Lz8wkAPfHEE1plUg4an3nmGQJAH330kc52a9euJQDCGWciEn4o+u6775rtI2NMf/z0VMaYpFqacsPc/L8fS+r7FWNiYlo1l9rRo0dRWVkJNzc3REdHa5WHhIQgPDwcGRkZ+P777+Hp6alVZ/r06TrbAdC6rzEtLQ0AMGPGDJ1z5M2ZMwfr1q3D8ePHcffuXdjY2GiUjxkzBr169dJYJpfL8fDDD+PSpUt4/vnntabPsLe3R79+/XDu3DkUFhbCwcFB164Q5OfnIycnB5aWlvif//mfZuu2xoEDBwAAr7zyis7yWbNm4eWXXxZtn5ubiy1btuDXX3/FjRs3hHuniouLAdybvmDYsGFa7dpjX5WWliI1NRU//fQT/vjjD1RXVwOAcH9nVlaWRn31PZti0zNMnToVhw8f1lr+zTffALh371bT/FZzdXVFSEgI0tPTcfLkSTzyyCM612+oqVOnQiaTaSwbMGAAlEolKisrdeZ8YGAgAO2cN1VfRowYofX+A8Y55g115MgRVFRUYPLkyQa1b27KjaaKi4uRmpqKU6dO4fr166itrQUA/PHHHwDu5emf//xnvbdfU1ODr7/+Gunp6SguLkZlZSWISCi/P/+lVFtbi71790Iul4s+bXv8+PF47bXXNI65Pn36AAC+/fZbPPnkkzpzlDFmGD6aGGOS0mfKjXPnzgEAhg4d2qr6Fy5cAAAMGjRI60uymq+vLzIyMoS6TTk5OemcK0w9yL1z547O7YnNqebl5QVLS0vU1taioKAAfn5+GuViX2B79OjRYvm5c+e04tFFvQ99fHzQrVu3Fuu3RN1nb29vneViy4F7j9aPj49HY2OjaJ0bN27oXG7sfZWWloaJEyc2+wCg+2PJy8sDAK33UU1s+a+//goA+PTTT5Gamqqzjnq/Xr58WTQeQ4ntGycnJxQXF+ssV+/X+/ebqfoilldtPebbwtCpNtRaM+VGSkoKXn75ZeEHDV3EjpnmFBcXY+TIkTh//rxR12ssFy5cQHV1NSwtLfHkk0/qrKMe4DbNs6lTp2LVqlVITk7Gvn37MHr0aDz66KOIioqCh4eHJLEz1lXxoJEx1mFVVFQAuHfGqDXUX3CbO5Pp4uICALh9+7ZW2f1nAtXMzHQ/aLql7clkMvTo0QOXL1/Wub37z4w1bdea8qZnBcTouw9bou6zelBxP/X+vd+RI0fw9ttvQy6XY8WKFRg/fjz69u0LpVIJmUyG+Ph4vPPOO6irq9PZ3pj76ubNm5g0aRJu3bqFv/zlL5g1axYGDhwIlUoFMzMz/PDDD3jiiSe0Yrl79y4AiA6+xZarB6bZ2dk6y5uqqqpqsY6+DNl3YgMwU/VF7Nhs6zHfFnv27IFSqRSeVmpsBQUFmDFjBurq6jBv3jxMnjwZnp6esLW1hUwmw4YNG4RyfcXFxeH8+fMICwvDkiVLEBAQAAcHB1hYWKC+vl74r6mo86y2thbHjh1rtm7TAXWvXr2QkZGBhIQE7NmzBykpKUhJSQFw78fH999/H+Hh4e0XOGNdGA8aGWMdlvpL+M2bN1tV39bWFsB/L9vS5ffff9dYd1u0tD0iQmlpqdG2Zwh992FLbG1tcevWLZSWluo8QyW2LzZv3gwAePPNN7FgwQKt8pKSEqPE1xr79u1DeXk5wsPDkZycrDVAEovFxsYGFRUVomd4xQYl6jz5/vvvMWLEiDZEbnqG9qWlHzrUA3JD45HqmFe7cOEC8vLyMH78eJ2XphvDtm3bUFdXh0mTJmH16tVa5YYeM1euXEF6ejqUSiX27t2rddm2lMeiGPX7+tBDD+HSpUt6tfX29sb27dtRU1ODjIwMHD58GFu3bkVmZiZGjhyJX3/9VXRaHMaYOJ6nkTHWYfn6+gK4N79fawwYMADAvUsyxb6cqucDVNdtC/U6cnJydJbn5eWhtrYWcrncqPdS6UO9D3NycoxypkXdZ7E5/NSXw96vqKgIAHTerwhIe/+UOpbw8HCdZ9TEYlH3/ezZszrL1Zdu3k99+XJrzs51dIb2RX2mUP0jyv3y8/MNikfqY15t165dAAy/NLU1DD1mxM4Sq128eBHAvUt6dd0TbcxjsaVYxHh5ecHCwgJXr141+DJZhUKByMhILF68GNnZ2YiIiMCdO3ewZcsWg9bH2IOOB42MsQ7r6aefBgDs2LEDBQUFLdZ/5JFHoFQqUVJSIjxEp6lffvkFGRkZkMlkeOKJJ9oc36hRowAA69ev13nP0ccffwwAiIiIEL28rr15enpi8ODBqK2tFeJpi5EjRwIA/vGPf+gs//TTT3Uut7a2BvDfsz5NpaWlSTpobC6WsrIybNy4UWc7dc6I3YcmtvyZZ54BAHz22WfN3pvWGRjaF/X9ZCdOnNAqu3TpkvCAJX1Jfcyr7d69GzKZDGPHjjXaOu/XXJ7m5uYKA1exdmKXB6vL//jjD50D7ZUrVxoUryGxiFEqlRg1ahQaGxuN8rkll8uFB5pduXKlzetj7EHEg0bGWIc1ZMgQxMTEoLq6GmPGjNH6wpmfn69x2ZZKpRKe6jl79mycPn1aKCsoKMCUKVMAABMnTjTKmb/nn38ebm5u+P333xEXF6dx2eKmTZvw2WefAYDOyzGltHz5cgBAYmIiPv74Y417oCorK7FhwwbRM4T3e/nll2FjY4OffvoJCQkJwn1PdXV1ePPNN4WzOvdTP0UzKSkJhYWFwvITJ05g2rRp7XaJny6PPvoogHuX//3www/C8qtXr2LChAmi93K9/PLLUCqVSEtLQ2JiIhoaGgAA9fX1iI+Px9GjR3W2i4mJwdChQ5Gbm4unnnpK66xaTU0N9uzZg2nTphmje+3K0L6MGTMGwL0fgPbu3Sssv3r1Kl544QWD75+T+pgH7t1vd+zYMQQGBup8oquxqI+ZdevW4cyZM8LyCxcu4Nlnn4WlpaXOdv369QNw7+oCXWd2fX190b17d1y6dAnvvPOOMHCsrq7GnDlzNPZhWzX9saCyslKvtsuWLYNCocDy5cuRlJSkNfC8evUqPvroI40fsBYtWoSNGzdqXY6fnZ2Nbdu2AQCCgoIM6AljjOdpZIxJQj2/l5eXF0VERIi+7p+T68aNGxQeHi7MX+bu7k7BwcHk4uKic068yspKioqKEur7+PiQv78/yeVyAkD+/v50/fp1jTbqeRqbm1sQIvOnZWZmkp2dHQEgGxsbCg4Opj59+gj14+Pjtdq0NMdeS3Paic3HKLaciGjFihUkk8kIANnZ2VFwcDB5eXkJE9LraiNm06ZNwrqcnJwoJCSEHBwcyMzMjJKSknTuy1u3bpGHhwcBIEtLS3r44Ydp4MCBwns0d+7cZufpM/a+Uk/KDoD69+9PAQEBZG5uTt26daMPP/xQdJ675ORkoe89evSgkJAQcnJyIjMzM1q5ciUBIA8PD612V65cocDAQI1thoWFkY+PD1laWgrzfbaWPvM0ir23YnPuqYnlvKF9mT59utCmX79+wj4fNGgQzZkzx6D3n8iwY74pfedp3Lp1KwGgv//9762qfz91zra0vbq6Oho6dCgBILlcTt7e3jR48GCSyWTk6upKy5cvF13P448/TgCoW7duFBYWRsOHD6fnnntOKP/kk0+E/dWzZ08KDg4mlUpFMplMmH9W13uv7zyNDQ0N5OXlRQDI0dGRwsPDafjw4TRnzpwW2xIRffPNN8I8nFZWVhQQEEChoaEan7Hz588X6kdHRxMAMjMzo/79+1NoaCj1799fqBsVFaVzflHGWMv4TCNjTFJ5eXk4duyY6Ov+eeG6d++Ow4cP43//938RERGB8vJyZGdnQ6lUIjY2Fp988olGfWtraxw4cAAfffQRgoODcfHiRVy4cAE+Pj5Yvnw5jh8/DkdHR6P1JywsDFlZWZg5cyacnJxw9uxZ3LlzByNHjsSePXuwbNkyo22rLRYsWIDjx49j4sSJUCqVyMrKQkVFBUJCQrBq1Sq9fn1/4YUXcOjQIURFRaG6uhq5ubl4+OGHsW/fPjz33HM626hUKhw9ehR/+ctfoFKpcP78edTW1mLu3LnIyMiQ/EFBmzdvRkJCAtzd3XHx4kVcu3YNsbGxOHHiBPz9/UXbTZkyBWlpaYiMjERVVRVyc3Ph6+uL/fv3C1MD6OqLq6srMjIysG7dOjz22GMoKyvD6dOncfv2bYSGhmLJkiVIT09vt/4ak6F9+cc//oGlS5fC09MTly9fRmlpKWbOnImMjIw2Pd1X6mO+rVNttJa5uTkOHDiA1157DS4uLsjPz8fNmzcxffp0nDx5Eg899JBo29TUVMTFxUGlUuHkyZM4fPiwxr3hr776KjZt2oSAgADcuHED+fn5CA4Oxt69e/HSSy8ZrQ9mZmbYs2cPYmNjIZfL8fPPP+Pw4cMaZ06bExMTg5ycHMyZMwfu7u44f/48cnJyoFQqERMTg5SUFI0rOeLj47FgwQKEhITgzp07OHPmDKqqqjB8+HD885//RFpaGs/dyJiBZESteGY7Y4wxxpr19ddfIzY2FtHR0dixY0e7bisxMRFLlizB4sWLkZiY2K7b6uqSk5MxdepUTJkypcV5ExsbG+Hi4gJzc3NcuXLF4Ae9MMZYZ8M/tzDGGGNG8MUXXwC49+Ajqfzf//2fcF/m9u3b0bNnT8m23dmNGTMGt2/fbna6jvtlZmbi+vXrmDZtGg8YGWMPFB40MsYYY6309ddfw9raGqNGjYJcLgdw72FCiYmJ2LNnD2xsbPDiiy9KFk9JSYkwr15nfzKr1DIyMoRJ5Ftr2LBholN7MMZYV8aXpzLGGGOtpL4s1MrKCp6enlAoFDh37hyqqqogl8uRkpKCF154wdRhMsYYY0bFZxoZY4yxVoqOjsalS5dw5MgRlJSUoKqqCj169MD48eMxb948YS44xhhjrCvhM42MMcYYY4wxxkTxlBuMMcYYY4wxxkTxoJExxhhjjDHGmCgeNDLGGGOMMcYYE8WDRsYYY4wxxhhjonjQyBhjjDHGGGNMFA8aGWOMMcYYY4yJ4kEjY4wxxhhjjDFRPGhkjDHGGGOMMSbq/wELDlhR7SRHWwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 1000x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Segment 12 (Katwijk scenarios) used at idx: [0,8,49]\n", + "segment_repaired = [12, 13]\n", + "segment_table = find_scenarios_with_segment_i(segment_repaired, df)\n", + "idx_segment = segment_table.index.values\n", + "print(f\"Segment {segment_repaired} in scenarios {idx_segment}\")\n", + "\n", + "# idx_segment = [0, 8, 49] # enter index of segment of interest\n", + "N_D_ordered_new, exceed_prob_new, complete_table_new = sensitivity_analysis(case, scenario_prob, idx_segment, N_D_ordered_test, exceed_prob_test, complete_table)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "a20111d8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Old fatality: 3.04187862305\n", + "Old fatality: 2.6691130726399996\n", + "Difference: 0.3727655504100005\n" + ] + } + ], + "source": [ + "old_costs, new_costs, result = compute_benefit(complete_table, complete_table_new)\n", + "print(f\"Old {choose_damage_or_fatality}: {old_costs}\")\n", + "print(f\"Old {choose_damage_or_fatality}: {new_costs}\")\n", + "print(f\"Difference: {result}\")" + ] + }, + { + "cell_type": "markdown", + "id": "4ed2eff1-97dd-4df2-9e4e-a2fce6a6a360", + "metadata": { + "jp-MarkdownHeadingCollapsed": true, + "tags": [] + }, + "source": [ + "## Assignment Answers\n", + "\n", + "*You don't need to answer all of these questions, but they will probably help you arrive at a desicion.*\n", + "\n", + "\n", + "\n", + "1. Which scenario contributes the most to risk?\n", + "2. Which dike segment contributes the most to risk?\n", + "3. Is there a certain region that seems to contribute more to risk?\n", + "4. The above questions look at risk, but you can also consider probability and consequences separately. If you look through these details, do you notice any segments or scenarios that stand out as contributing a lot (or a little)?\n", + "5. Which dike segments do you choose to repair, and why?\n", + "6. What is the total reduction in expected damages?\n", + "7. Could you get the entire curve to satisfy the safety criteria? What is needed in order to do so?\n", + "8. Consider the dike segments you chose to repair. How might you actually go about repairing them: would you focus on reducing the probability or the consequences? Make a few suggestions for how you would do each improvement and comment on the feasibility." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + }, + "vscode": { + "interpreter": { + "hash": "2f56e53acab938e533261baa35aac2c581caa9f2f4a01ed69448e50e809c0ddc" + } + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/book/notebooks/flood-risk/Prob_Cons.xlsx b/book/notebooks/flood-risk/Prob_Cons.xlsx new file mode 100644 index 0000000..9d5f9c5 Binary files /dev/null and b/book/notebooks/flood-risk/Prob_Cons.xlsx differ diff --git a/book/notebooks/flood-risk/exercise_flood_risk.zip b/book/notebooks/flood-risk/exercise_flood_risk.zip new file mode 100644 index 0000000..992a414 Binary files /dev/null and b/book/notebooks/flood-risk/exercise_flood_risk.zip differ diff --git a/book/notebooks/flood-risk/figures/flood-depth-12.PNG b/book/notebooks/flood-risk/figures/flood-depth-12.PNG new file mode 100644 index 0000000..c3dc0c2 Binary files /dev/null and b/book/notebooks/flood-risk/figures/flood-depth-12.PNG differ diff --git a/book/notebooks/flood-risk/figures/map-dike-segments.PNG b/book/notebooks/flood-risk/figures/map-dike-segments.PNG new file mode 100644 index 0000000..a172d35 Binary files /dev/null and b/book/notebooks/flood-risk/figures/map-dike-segments.PNG differ diff --git a/book/notebooks/flood-risk/functions.py b/book/notebooks/flood-risk/functions.py new file mode 100644 index 0000000..7519bce --- /dev/null +++ b/book/notebooks/flood-risk/functions.py @@ -0,0 +1,163 @@ +import numpy as np +import matplotlib.pyplot as plt +import pandas as pd + +def find_scenarios_with_segment_i(segments_fixed, df): + """Given a list of segments, return set of dependent scenarios.""" + idx = [] + segments_fixed = set(segments_fixed) + for i, row in enumerate(df['failed_segments'].values): + segments_row = set([int(seg) for seg in row.split(",")]) + intersection = list(segments_fixed.intersection(segments_row)) + if len(intersection) > 0: + idx.append(True) + else: + idx.append(False) + segment_table = df.iloc[idx] + return segment_table + +def assemble_analysis_cases(df): + """From scenario dataframe collect damage and fatality information.""" + econ_damage_case_1 = df.iloc[:,3] # Unexpected, no evacuation + econ_damage_case_2 = df.iloc[:,5] # Unexpected, unorganised evacuation + econ_damage_case_3 = df.iloc[:,7] # Expected, unorganised evacuation + econ_damage_case_4 = df.iloc[:,9] # Expected, organised evacuation + + fatalities_case_1 = df.iloc[:,4] + fatalities_case_2 = df.iloc[:,6] + fatalities_case_3 = df.iloc[:,8] + fatalities_case_4 = df.iloc[:,10] + + scenario_prob = df.iloc[:,1] # scenario probability + + cases = {'damage': [econ_damage_case_1, econ_damage_case_2, econ_damage_case_3, econ_damage_case_4], + 'fatality': [fatalities_case_1, fatalities_case_2, fatalities_case_3, fatalities_case_4]} + return cases + +def exceedance_prob(cases, scenario_prob): + """Compute exceedance probability.""" + case_1 = cases[0] + case_2 = cases[1] + case_3 = cases[2] + case_4 = cases[3] + + key = case_1.index + + # Combine Evacuation Scenarios into new Dataframe + scenarios = [pd.DataFrame({'Nr': key, 'N/D': case_1}), + pd.DataFrame({'Nr': key, 'N/D': case_2}), + pd.DataFrame({'Nr': key, 'N/D': case_3}), + pd.DataFrame({'Nr': key, 'N/D': case_4})] + + scen_combi = pd.concat(scenarios, ignore_index=True) + + # Sort values by key ('Nr') + scen_combi_sorted = scen_combi.sort_values(by=['Nr']) # useful if scen_combi_nodup.sort_values(by=['Nr']) in case of no duplicates +# scen_combi_sorted = scen_combi.reset_index(drop=True) # Reset index starting from 0 + + # Create new Dataframe for scenario prob with corresponding key + prob = pd.DataFrame({'Nr': key, 'scen_prob':scenario_prob}) + + # Join both Dataframes based on common key + join_scen_prob = scen_combi_sorted.join(prob.set_index('Nr'), on='Nr') + + # Determine Exceedance Probability + sorted_N_D = scen_combi.sort_values(by=['N/D']) # Sort N/D based on ascending order + complete_table = sorted_N_D.join(prob.set_index('Nr'), on='Nr') + + N_D_prob_ordered = complete_table.iloc[:,2] + +# N_D = join_scen_prob.dropna(axis=0).iloc[:,1].reset_index(drop=True) # N/D +# N_D_prob = join_scen_prob.dropna(axis=0).iloc[:,2].reset_index(drop=True) # Corresponding scenario prob +# print('N_D', N_D) +# print('N_D_PROB', N_D_prob) +# order = N_D.argsort() # Sort N/D based on ascending order + +# N_D_prob_ordered = N_D_prob[order] + N_D_prob_cs = np.cumsum(N_D_prob_ordered[::-1]) # Take cumulative sum of reversed order + + exceed_prob = (1/4) * N_D_prob_cs[::-1] # Reverse result (1-FN(n)) and /4 as 4 evacuation scenarios are considered + complete_table = complete_table.join(exceed_prob, lsuffix='_orignal', rsuffix='_new') # complete resulting table +# N_D_ordered = N_D[order].reset_index(drop=True) + N_D_ordered = complete_table.iloc[:,1] + + return N_D_ordered, exceed_prob, complete_table + +def sensitivity_analysis(cases, scenario_prob, idx_segment, N_D_ordered_original, exceed_prob_original, complete_table): + """Docstring incomplete.""" + case_1 = cases[0] + case_2 = cases[1] + case_3 = cases[2] + case_4 = cases[3] + + # Dropping segment(s) + case_1_exc = case_1.drop(idx_segment, axis=0).reset_index(drop=True) + case_2_exc = case_2.drop(idx_segment, axis=0).reset_index(drop=True) + case_3_exc = case_3.drop(idx_segment, axis=0).reset_index(drop=True) + case_4_exc = case_4.drop(idx_segment, axis=0).reset_index(drop=True) + + scenario_prob_exc = scenario_prob.drop(idx_segment, axis=0).reset_index(drop=True) + + # Determine new exceedance probability - Excluding segment(s) + N_D_ordered_new, exceed_prob_new, complete_table_new = exceedance_prob([case_1_exc, case_2_exc, case_3_exc, case_4_exc], scenario_prob_exc) + + # Plotting + plot_curves(N_D_ordered_original, exceed_prob_original) + plt.plot(N_D_ordered_new.dropna(axis=0), exceed_prob_new.dropna(axis=0), marker="o", linewidth=2, markersize=5, color= 'darkblue', label='Excluding segment(s)', zorder=10) + + # Plot dropped points + x_point = [] + y_point = [] + for i in range(len(idx_segment)): + row_i = complete_table[complete_table['Nr']== (idx_segment[i] + 1)] + for j in range(len(row_i)): + x_point.append(row_i.iloc[j, 1]) + y_point.append(row_i.iloc[j, 3]) + plt.scatter(x_point, y_point, label='Dropped Points', s=45, color='darkred', zorder=15) # Plot the points corresponding to deleted segment + plt.legend() + plt.show() + return N_D_ordered_new, exceed_prob_new, complete_table_new + +def plot_curves(N_D, exceedance_prob): + """Plot FN or FD risk curve.""" + plt.figure(figsize=(10,6)) + set_TUDstyle() + + # Plot FN/FD curve + plt.plot(N_D, exceedance_prob, marker="o", linewidth=2, markersize=5, label='FN/D-curve',zorder=0) + + # Add acceptable limit line + ND = np.linspace(1,100000,100000) # fatalities + alpha = 1 + C = 0.010 + limit_line = (C/ND**alpha) + plt.plot(limit_line, linewidth=2, color='darkgreen', label='Acceptable Limit Line', zorder=5) + + # Styling + plt.yscale('log') + plt.xscale('log') + plt.grid(True, which="both", axis='x') + plt.grid(True, which="major", axis='y') + plt.title('FN/D-curve') + plt.ylabel('Probability of Exceedance, $1-F_N(n)$') + plt.xlabel('Economic damage [meuro] / Fatalities') + plt.xlim(1,100000) + plt.ylim(10**(-7),10**(-3)) + plt.legend() + +def compute_benefit(table_old, table_new): + """Compute new and old consequences and net benefit.""" + old_consequences = np.sum(table_old["N/D"].values * table_old["scen_prob_new"].values) + new_consequences = np.sum(table_new["N/D"].values * table_new["scen_prob_new"].values) + benefit = old_consequences - new_consequences + return old_consequences, new_consequences, benefit + +def set_TUDstyle(): + TUcolor = {"cyan": "#00A6D6", "darkgreen": "#009B77", "purple": "#6F1D77", + "darkred": "#A50034", "darkblue": "#0C2340", + "orange": "#EC6842", "green": "#6CC24A", + "lightcyan": "#00B8C8", "red": "#E03C31", "pink": "#EF60A3", + "yellow": "#FFB81C", "blue": "#0076C2"} + plt.rcParams.update({'axes.prop_cycle': plt.cycler(color=TUcolor.values()), + 'font.size': 16, "lines.linewidth": 4}) + return TUcolor \ No newline at end of file diff --git a/book/notebooks/overview.md b/book/notebooks/overview.md new file mode 100644 index 0000000..41cd6e9 --- /dev/null +++ b/book/notebooks/overview.md @@ -0,0 +1,3 @@ +# Notebooks + +This chapter contains notebooks that can be used to put your risk and reliability knowledge to the test in real life situations. They have been rendered as individual pages to show you their contents, and each page will have a download link near the top to allow you to download all files needed for the exercise directly in a zip file. diff --git a/book/notebooks/traffic/Exercise_Traffic_Render.ipynb b/book/notebooks/traffic/Exercise_Traffic_Render.ipynb new file mode 100644 index 0000000..a15a33b --- /dev/null +++ b/book/notebooks/traffic/Exercise_Traffic_Render.ipynb @@ -0,0 +1,2250 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Traffic and Transport Reliability" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "````{note}\n", + "This page is generated from an `*.ipynb` file which requires several auxiliary files, all of which can be downloaded using the link below.\n", + "```{eval-rst}\n", + ":download:`Download zip file for this exercise.<exercise_traffic.zip>`\n", + "```\n", + "````" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n", + "Have you ever sat in a car during rush hour and been annoyed at the amount of traffic? Have you ever marvelled at the recklessness of fast drivers, watched rubber-neckers gawking at an accident or thought there must be a better way to design this highway? Today you will get a chance to give it a try on your own!\n", + "\n", + "One of the reasons traffic networks are difficult to design is that they must operate well under a wide range of difficult to predict conditions: think of severe weather events, a large number of vehicles on the road during a few key points per day and the unpredictable behavior of human drivers. This all suggests that a stochastic, or probabilistic approach can be well suited to traffic and transport evaluations.\n", + "\n", + "For this assignment you will consider a highway route between Dordrecht and The Hague (we will call this route the ‘trajectory’). You have data measuring travel time along this trajectory during two months, all measured between the hours of 5.00-11.00 (the morning commute), which we will use to estimate the probability that the travel time exceeds some critical threshold, and the threshold itself is determined based on travel time as a risk metric.\n", + "\n", + "## Estimating Traffic Patterns in Practice\n", + "\n", + "Before we begin, note that this exercise is a dramatic simplification of reality, as it uses simplified methods and a single dataset to evaluate one highway trajectory. In practice, this is done by setting up a complex network-based model and using stochastic processes and probability distributions to simulation things like vehicle flow rates, accidents, road closures, etc. Travel times are then described using probability distributions that are based on a large number of simulations.\n", + "\n", + "In other words: assume a distribution of flow rate or vehicles on the road, use stochastic processes to consider the range of highway conditions and the occurrence of accidents, then let the computer do the hard work. In the end you get a histogram of travel times for your trajectory of interest. You can then look at the database of simulations to try and make inference on what leads to undesirable conditions. For example, take the group of simulations with the longest travel times for a given trajectory and see if it is caused by insufficient flow capacity or emergency vehicle response rate (i.e., ability to clear accidents quickly).\n", + "\n", + "In this exercise we will not simulate an entire traffic network, but instead use two simplified methods for estimating travel time, each of which will give different insight into possible design decisions.\n", + "\n", + "## How does this link to MUDE Weeks 2.7-2.8 Risk and Reliability?\n", + "\n", + "This is in fact a relatively simple probabilistic design problem. Just as the simple example for computing dike height to withstand a river discharge with failure probability of 1% (a one random variable case), in this example we need to design the highway such that travel time on the highway only exceeds the threshold amount 5% of the time. In this case the only random variable is vehicle flow rate. As you continue reading, you will probably think the computational models and method for taking into account interventions is a bit complicated, but remember: you only need to design for one random variable!" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from ipywidgets import interact\n", + "import ipywidgets as widgets\n", + "import warnings\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Traffic Variables\n", + "\n", + "We are interested in estimating tavel time, $t$ [minutes], measured along a single highway. Key variables that play a role in determining $t$ for the Dordrecht-Den Haag trajectory are:\n", + "\n", + "- Vehicle flow rate, $q$ [vehicles/hr]: typically measured per link, but for our purposes it will represent the entire highway trajectory. For the morning commute, the flow rate is typically 5500 veh/hr.\n", + "- Capacity, $C$ [veh/hr]: the maximum flow rate of a link. For our trajectory, the capacity is 5600 veh/hr.\n", + "- Delay, $t_{delay}$ [min]: additional time required to travel a trajectory for a single vehicle. Caused by an accident that lasts $t_{accident}$ minutes.\n", + "\n", + "A few other variables will be described below after we introduce two methods to calculate travel time, but first we will introduce you to the Python code that will be used to make it easy for you to solve this problem!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## `Trajectory` class\n", + "\n", + "As the objective of this exercise is to focus on the probabilistic design process (*not* to see how fast you can use Python), many key steps have been automated for you using a class, `Trajectory`, which is defined in `exercise_setup.py`. An instance of the class is initialized with default values already defined, and many of the methods can be used without the need to specify inputs (see examples below). Observations in the attached `csv` file are also initialized as a dataframe attribute of the class, so you don't even need to import the data. For most methods, making a user-specified input argument will allow you to quickly see how a design decision may modify the characteristics of our highway trajectory. \n", + "\n", + "An instance is created in the following cell, and the class is used repeatedly throughout this notebook to provide usage examples. We have tried to provide informative docstrings to help figure out what each method does, so you should not have to look in the `exercise_setup.py` file unless you are curious how the class is defined." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from exercise_setup import Trajectory\n", + "t=Trajectory()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The class is initialized with a number of default values (explained later), which you can check using the following method:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Print current values used in Method 1 and 2.\n", + "Current parameter values are:\n", + " alpha = 0.15\n", + " beta = 4\n", + " t_0 = 28.5\n", + " C = 5600\n", + " rCf = 0.2\n", + " q = 5500\n" + ] + } + ], + "source": [ + "print(t.print_parameters.__doc__)\n", + "t.print_parameters()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It's easy to create a second instance of the class, which can be useful if you want to see what the affect of varying parameter values. For example, here we change $q$ from the default value of 5500 to 5000:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Current parameter values are:\n", + " alpha = 0.15\n", + " beta = 4\n", + " t_0 = 28.5\n", + " C = 5600\n", + " rCf = 0.2\n", + " q = 5000\n" + ] + } + ], + "source": [ + "t2=Trajectory()\n", + "t2.q = 5000\n", + "t2.print_parameters()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Part 1. Two Methods for Estimating Travel-Time\n", + "\n", + "We will introduce two methods for computing the travel time, one that focuses on *flow rate* and *capacity*, the other on *accident duration.*\n", + "\n", + "### Method 1: Bureau of Public Roads (BPR) Curve\n", + "\n", + "Method 1 computes travel time as a function of vehicle flow rate, $q$:\n", + "\n", + "$$t\\left(q\\right)=t^0\\left(1+\\alpha\\left(\\frac{q}{C}\\right)^\\beta\\right)$$\n", + "\n", + "where $t^0$ is the free flow travel time, which is the time it would take to travel the link if there were no other vehicles on the road ($q=0$).\n", + "\n", + "$\\alpha=0.15$ and $\\beta=4.0$ are constants, especially for our simple case.\n", + "\n", + "Later in the exercise we will make changes to the highway (interventions) that will influence the parameters $q$ and $C$ and $t^0$. For example, adding a lane to the highway will increase $C$.\n", + "\n", + "Method 1 has been implemented in the `Trajectory` class as `travel_time_method_1()`." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Compute travel time with Method 1.\n", + " \n", + " Keyword arguments: q, alpha, beta, t_0, C.\n", + " Returns: travel time as float or array, depending on input.\n", + " \n" + ] + } + ], + "source": [ + "print(t.travel_time_method_1.__doc__)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use it to calculate the travel time for given variables." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Travel time computed with Method 1 = 32.5 minutes.\n" + ] + } + ], + "source": [ + "print(f'Travel time computed with Method 1 = '\n", + " f'{t.travel_time_method_1():.1f} minutes.')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can use *keyword arguments* to change the default values for capacity, free-flow travel time and flow rate to see how the estimated travel-time changes!" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Travel time computed with Method 1 = 31.5 minutes.\n" + ] + } + ], + "source": [ + "print(f'Travel time computed with Method 1 = '\n", + " f'{t.travel_time_method_1(C=6000):.1f} minutes.')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Travel time computed with Method 1 = 28.9 minutes.\n" + ] + } + ], + "source": [ + "print(f'Travel time computed with Method 1 = '\n", + " f'{t.travel_time_method_1(q=3000):.1f} minutes.')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Using sliders we can look at the effect of capacity and t_0 on the BPR curve." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```{note}\n", + "The widgets displayed on this page will not work in the website version, only when you use the `*.ipynb` file with a Python kernel (e.g., in Jupyter Notebook or Jupyter Lab).\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "c0bdaad2190343f5b8c103bbd6bd9257", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(FloatSlider(value=28.5, description='t_0', max=32.0, min=26.0, step=0.5), FloatSlider(va…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from custom_widgets import method_1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Method 2: Delays Caused by Accidents\n", + "\n", + "This method takes into account accidents that may have occurred along our trajectory computing the delay experienced by a single vehicle, $t_\\mathrm{delay}$. The delay is related to the length of the accident itself, as well as the traffic flow and trajectory capacity:\n", + "\n", + "$$t_\\mathrm{delay}=t_{\\mathrm{accident}} \\cdot \\frac{(q - rC)}{2q}$$\n", + "\n", + "Where $rC$ is the remaining capacity of the link [veh/hr], approximated as a percentage of the link capacity:\n", + "\n", + "$$rC = rC_f \\cdot C$$\n", + "\n", + "In our case we assume $rC_f$=0.2.\n", + "\n", + "Total travel time along the trajectory can be estimated by adding $t_{delay}$ to the travel time without accidents. This is similar to the free flow travel time, $t^0$, except we must take into account the fact that accidents don't have a significant effect on travel time until traffic flow is already reaching the trajectory capacity. Thus, we introduce a cutoff time, $t_{cutoff}$, above which accidents affect $t$:\n", + "\n", + "$$t=t_{\\mathrm{cutoff}}+t_\\mathrm{delay}$$\n", + "\n", + "The value of $t_{cutoff}$ is estimated using Method 1 for a condition close to the capacity of the highway---100 veh/hr less---which returns 32.5 min, computed here:." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Travel time for q = 5500.0 and C = 5600.0 using Method 1: 32.50 min\n" + ] + } + ], + "source": [ + "print(f'Travel time for q = {t.q} and C = {t.C} using Method 1: '\n", + " f'{t.travel_time_method_1(q=t.q, C=t.C):.2f} min')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Method 2 has been implemented in the `Trajectory` class as `travel_time_method_2()`, which computes travel time for a single vehicle and a single accident. The class also assumes $t_{accident}=10$ min as a default value, which is close to the median accident length during the morning commute. " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Compute travel time with Method 2 (delays).\n", + " \n", + " Keyword arguments: t_accident, q, C, rCf, t_cutoff.\n", + " Returns: travel time as float or array, depending on input.\n", + " \n" + ] + } + ], + "source": [ + "print(t.travel_time_method_2.__doc__)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use it to calculate the travel time for given variables, which is set up to assume that a single 10 min accident has occured for a vehicle traveling the trajectory." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A single accident duration of 10 min is assumed by default. Include argument t_accident=? to override.\n", + "Travel time computed with Method 2 = 36.5 minutes.\n" + ] + } + ], + "source": [ + "print(f'Travel time computed with Method 2 = '\n", + " f'{t.travel_time_method_2():.1f} minutes.')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Investigating the effect of accident duration is easy because you can change the default argument values just like for Method 1 (see documentation for complete list of input arguments):" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Travel time computed with Method 2 = 44.4 minutes when accident time is 30 min.\n" + ] + } + ], + "source": [ + "try_t_accident = 30\n", + "print(f'Travel time computed with Method 2 = '\n", + " f'{t.travel_time_method_2(t_accident=try_t_accident):.1f} '\n", + " f'minutes when accident time is {try_t_accident} min.')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There is also a method to compute delay:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A single accident duration of 10 min is assumed by default. Include argument t_accident=? to override.\n", + "The delay for one vehicle is 3.98 min.\n", + "The delay for one vehicle due to a 30 min accident is 11.95 min.\n" + ] + } + ], + "source": [ + "print(f'The delay for one vehicle is '\n", + " f'{t.estimate_t_delay():.2f} min.')\n", + "print(f'The delay for one vehicle due to a {try_t_accident} min '\n", + " f'accident is {t.estimate_t_delay(t_accident=try_t_accident):.2f} min.')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Interesting, the previous calculation shows that if the accident time increases by 20 min, the delay is only increased by 8 min." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```{note}\n", + "The widgets displayed on this page will not work in the website version, only when you use the `*.ipynb` file with a Python kernel (e.g., in Jupyter Notebook or Jupyter Lab).\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "d00800ac309946df9291756aa1ffcbc4", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(FloatSlider(value=10.0, description='t_accident', max=60.0, min=5.0, step=5.0), FloatSli…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from custom_widgets import method_2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Part 2. Importing the Data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we do 'the usual': import data using pandas, clean it up and explore it with a few summary statistics and visualizations. Luckily we've already done this for you in the `process_observations` method in the `Trajectory` class, and class is initialized with the datafram as an attribute." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Create dataframe with observations.\n", + " \n", + " Steps:\n", + " - Import file defined by string attribute observations_filename.\n", + " - Extract all columns with observations.\n", + " - Set up and return new dataframe:\n", + " - travel_time_df\n", + " - Set up and return new arrays:\n", + " - travel_time\n", + " - flow_rate\n", + " - t_accident\n", + " - dataframe and arrays are added as attributes in init\n", + " \n" + ] + } + ], + "source": [ + "print(t.process_observations.__doc__)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>Travel Time</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>30.144795</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1</th>\n", + " <td>30.064739</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2</th>\n", + " <td>29.912339</td>\n", + " </tr>\n", + " <tr>\n", + " <th>3</th>\n", + " <td>29.972393</td>\n", + " </tr>\n", + " <tr>\n", + " <th>4</th>\n", + " <td>30.084815</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " Travel Time\n", + "0 30.144795\n", + "1 30.064739\n", + "2 29.912339\n", + "3 29.972393\n", + "4 30.084815" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t.travel_time_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>Travel Time</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>count</th>\n", + " <td>22021.000000</td>\n", + " </tr>\n", + " <tr>\n", + " <th>mean</th>\n", + " <td>34.344555</td>\n", + " </tr>\n", + " <tr>\n", + " <th>std</th>\n", + " <td>9.524935</td>\n", + " </tr>\n", + " <tr>\n", + " <th>min</th>\n", + " <td>28.524847</td>\n", + " </tr>\n", + " <tr>\n", + " <th>25%</th>\n", + " <td>30.146187</td>\n", + " </tr>\n", + " <tr>\n", + " <th>50%</th>\n", + " <td>31.284827</td>\n", + " </tr>\n", + " <tr>\n", + " <th>75%</th>\n", + " <td>34.625918</td>\n", + " </tr>\n", + " <tr>\n", + " <th>max</th>\n", + " <td>129.301866</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " Travel Time\n", + "count 22021.000000\n", + "mean 34.344555\n", + "std 9.524935\n", + "min 28.524847\n", + "25% 30.146187\n", + "50% 31.284827\n", + "75% 34.625918\n", + "max 129.301866" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t.travel_time_df.describe()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hist = t.travel_time_df.hist(density=True,\n", + " bins = 25,\n", + " edgecolor='k',\n", + " linewidth=1.1)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjsAAAGwCAYAAABPSaTdAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAABph0lEQVR4nO3dd1xV9f8H8Ne5lz2VIUNRIUcKbkrB1LRy5Lah5V5p5kQzyZGSI63IzFy5ypXl6Fd9SSXT3GmIE8KForKcDJFx7z2/Py5cOJch93LhwuX1fDzug3s+Z73vgbpvP1MQRVEEERERkYmSGTsAIiIiovLEZIeIiIhMGpMdIiIiMmlMdoiIiMikMdkhIiIik8Zkh4iIiEwakx0iIiIyaWbGDsDYVCoV4uPjYW9vD0EQjB0OERERlYIoikhLS4OnpydkspLrbqp9shMfHw8vLy9jh0FERER6uH37NurUqVPiMdU+2bG3twegflgODg5GjoaIiIhKIzU1FV5eXprv8ZJU+2Qnr+nKwcGByQ4REVEVU5ouKOygTERERCaNyQ4RERGZNCY7REREZNKY7BAREZFJY7JDREREJo3JDhEREZk0JjtERERk0pjsEBERkUljskNEREQmjckOERERmbRKlewcOXIEvXv3hqenJwRBwC+//PLMc/7++2+0adMGVlZW8PHxwZo1a8o/UCIiIqoyKtXaWE+ePEGLFi0wcuRIvPHGG888PjY2Fq+//jrGjh2LrVu34vjx45gwYQJcXV1LdT4REZGpE0URogiIee+B3G11ObS2Jcep1OUqUV2myj0OIjTv8/aJovo6Ks091PuQe4xMABrUevaineWhUiU7PXr0QI8ePUp9/Jo1a1C3bl0sX74cANCkSRP8+++/+OKLL5jsEBGZMKVKhEKlgkIpQqESoVCqoFSJyMl9ry4r/hhlwfIC5yi13ucoc4/VXE+6XymKUOaWK1UqKEVorq3Zn3uu5n3esSporo3cJEGVlyxotvOSibzkofAxhX5CmtRUFg5WZrgwv5tR7l2pkh1dnTx5El27dpWUdevWDRs2bEBOTg7Mzc0LnZOVlYWsrCzNdmpqarnHSURUWgqlCtlKFbIVKmQp8n9mKZTIzt3OVqqQlZN/nEIlQlXgi1WV+zP/fe4XZ+4x+cdCcqwo5u7P+2JVocCXbdFftHnXL2p/3v3zyiX3UBU8P/f4vGMLxKUSIUk21MmKqlJ9iVPpGPNXVqWTncTERLi5uUnK3NzcoFAocP/+fXh4eBQ6Z8mSJViwYEFFhUhEJkapEpGRrUBGthJPsrR+ZiuQkZX7M1uJ9CwFMrIUeJKtREa2Ak+y8n9mKpSShCU7N6FR8UucTJQxE9QqnewAgCAIkm0x92lql+cJDg5GUFCQZjs1NRVeXl7lFyARlZkoishSqJCZo0RGthJPc5R4WuBnRrYSmTnq7bz3GdkKPM1WIVOhVDc7KPObOAo2TeQU2JfX/JBTRDNITm6NS2aOytiPg4h0VKWTHXd3dyQmJkrKkpOTYWZmBmdn5yLPsbS0hKWlZUWER0RQJyoZ2UqkPM1BamYOUjJyct8rkPI0933eKzNvW4GMHHWy8jRbgac5rPEg/chlAsxkAszlMshlAszlQm6ZDGa5781l6n1mcvWxZlrbcplMc17eddTl+fvN5AJkgla5XIBcKLgtg7zgMbnXlAl5L6h/ytT/YJcJAgRAs0/IO0am/gkUOEcQIAhQv1DEe6i3IdkWNOV5xyFvW+veyL1PXpnmmCLL1dcrGHNxFRAVpUonOwEBAfjtt98kZQcOHIC/v3+R/XWISHdKlYj0TAVSM3OQlqlAWt7PrLzt/H2pT/MTmdQCiYyCmUqZyWUCLOQyWJrLYCGXwcJMBkszGSzM5DCTCZDJBMgFSL485UWU55XJBHW5er+6XBAEyGUo8OWb/+UqCJB8IQtCwS9a5J6bX5YXs+a6ki/qwveR537By3O/7At+BkEAzOUyTSJiJs9LWnLL5OryohISY3/JUuVQqZKd9PR0XLt2TbMdGxuLc+fOwcnJCXXr1kVwcDDu3r2LH374AQAwfvx4rFy5EkFBQRg7dixOnjyJDRs2YMeOHcb6CESVSl7zT0qBmpPUp4oCNSjqxCQtM+9ngWQmMwfpmer+JlQ8M5kAW0sz2FrIYZP308IMtpbaP6XHWJnLc5MVWW4SI5ckMZp9ufvN5JVqWjSiKqVSJTv//vsvOnfurNnO61szfPhwbN68GQkJCYiLi9Ps9/b2RlhYGKZNm4Zvv/0Wnp6eWLFiBYedk0kRRRFpWQqkZOTgcUYOHj/NxuOM/MQlRZPE5DcNpRVIbLKVptnHxFwuwMpcDmtzOWxykwcbCzmsLdRl1hZmsDaXwcpcrq4VkOc3V5jLBZhpagrU7/NqCszl+bUHmn0FjrG1LJC4WJjBwoxJCFFlJ4hi9R7Al5qaCkdHR6SkpMDBwcHY4ZAJE0UR6VkKdcKSm7Q8yshBSoY6eXmUW5aSkYPHT3PwKCP/vdKEmoHsrczgaG0OR2tzOFiZ57+3LlBubQ4bCzNpEmOem8jkvjdnTQdRtabL93elqtkhqiqyFMrcBCU7N3lRJy5524+eqLfV5eqyFBPouyIIgJ2lGRyszGFvZZb7yn8vTV7MCyU1dlZmkMvYh4KIKhaTHSLkNxUlpWQiMTUTiSmZSE7LQlJqJh4+yZYkNo8yspFRRfux2FrI4ZCbfOTVpNgXmbiY5yYv0jJbCzk7fBJRlcNkh0xejlKlSVw0yUyB98mpWUhMzawSCYyZTEANGws4ajX55CUveTUoRZXZW5mxkysRVUtMdsgkKFUiriWn4/ydx7h8NwV3Hz/NraHJwoMnWZVuavm8pKWGjTlqWJtrvS+4nfszt4w1K0REumOyQ1WOKIqIe5iB83dScOH2Y1y4k4JL8SlGq5lxsDJDTVsLTdJS0ybvpwVq2uaX1cxLYJi0EBFVKCY7VOklp2aqE5s7jzU/H2fklNv9atiYw93BCm4OVnBzsISznaU0gbHJT2Acrc3ZNEREVMkx2aFKJSUjBxfuqmtrzufW2iSmZhrk2hZyGdwcLeHuYIVaDlZwz325Oeb+dLCEm4MVrMzlBrkfERFVDkx2yKieZClw5Mo9hEcn4eytR7j5IKNM1/N0tEILrxpo5GYPD0d1IuNmbwV3RyvUtDFn0xERUTXEZIcq3IP0LByMTsaBqEQcuXof2Qr9Zvh1srVA8zqOaF6nBlrk/nS15yKvREQkxWSHKsTthxk4EJWE/ZcT8e/NhzqvYG1naQa/2g5oUacGmtepgeZ1HFGnpjVraoiI6JmY7FC5EEUR0QlpOBCViAOXkxCVkFrqcy3MZGjq4aCprWnh5QgfFzvIOPMuERHpgckOGYxSJSLi1iPsv5yIA1GJuP3waanOM5MJaOfjjFeb1IJ/fSc0crPn4opERGQwTHaoTDJzlDh+7T4OXE7Cn9FJePAku1TnWZvL8XJjV3T1dUOXxm5wtDEv50iJiKi6YrJDermalIZVh69j/+XEUk/mV9PGHK82cUM3X3e81NCFQ7yJiKhCMNkhnVxLTsPXB6/h9wvxpVqCoXYNa3TzdUdXXzf416vJCfiIiKjCMdmhUrl+Lx0rDl7Fr+efneQ8726Prr7u6ObrhqYeDhwxRURERsVkh0oUe/8JVhy8iv87d7fY4eKCAPjXq4luvu54rakb6jnbVmyQREREJdAp2fn11191vsFrr70Ga2trnc8j47r14AlWHLyGvZF3ik1y7C3NMPIlbwxtV4+T+RERUaWlU7LTr18/nS4uCAKuXr0KHx8fnc4j44l7kIFv/rqKPZF3oSwmy7GzNMPI9vUx+iVv1LCxqOAIiYiIdKNzM1ZiYiJq1apVqmPt7e11DoiM4/bDDKz86xp2n70DRTFJjq2FHMMD62NsBx/UtGWSQ0REVYNOyc7w4cN1apIaMmQIHBwcdA6KKs6dRxn49tA1/Pxv8UmOjYUcwwLq472OPnBikkNERFWMIIqlGUBsulJTU+Ho6IiUlJRqlZjFP36Kbw9dw0//3kaOsug/AWtzOYYF1MN7HX3gbMc+OUREVHno8v1tkNFYZ8+ehZ+fHyws+K/+yi4pNRMr/7qGnWduI1tZ9GrjVuYyDG1XD+M6PQcXJjlERFTFGSTZeeGFFxAdHY1GjRoZ4nJUTq4kpeGddaeKXdLB0kyGwW3rYfzLPqhlb1XB0REREZUPgyQ71bwlrErIUigxeUdkkYmOhZkM775YFxNefg61HJjkEBGRaeGkgtXE139exX+JaZIyC7kM77zohfdfbgB3RyY5RERkmpjsVAMRtx5hzd/XJWWN3eyxaeQL8KzBCR+JiMi0cVVGE5eRrcD0n85JZkE2lwsIHdiCiQ4REVULTHZM3Gd//IebDzIkZVNfbQRfT0cjRURERFSxmOyYsKNX7+GHk7ckZa3q1sC4jly+g4iIqg8mOyYq5WkOPvz5gqTMylyGL99qATM5f+1ERFR9GORb75NPPoGLi4shLkUGsuDXy0hMzZSUBfdoAh9XOyNFREREZBwGGY31ySefGOIyZCD7LiVgT+RdSdlLDVwwtF09I0VERERkPGzPMDH30rLw8d5LkjJ7KzMse7M5ZDLBSFEREREZj07JzoULF6BSFb2eUlEuX74MhUKhc1CkH1EU8fHei3ioNUvy/N6+HGZORETVlk7JTqtWrfDgwYNSHx8QEIC4uDidgyL97Iq4g/CoJElZN183DGhd20gRERERGZ9OfXZEUcTcuXNhY2NTquOzs4tecJIM786jDIT8FiUpc7a1wOL+zSAIbL4iIqLqS6dkp2PHjoiJiSn18QEBAbC2ZvNJeVOpRHz48wWkZUmbDJcMaAZnO0sjRUVERFQ56JTsHD58uJzCoLL4/uRNnLwhbV58o3UddPV1N1JERERElQdHY1Vx15LT8dkf/0nKPB2t8EmfpkaKiIiIqHJhslOFKZQqTP/5PLIU0hFyn7/VAg5W5kaKioiIqHJhslOFrT58HedvP5aUjQisj/YNOJs1ERFRHiY7VdSluyn4+uBVSZmPiy0+6v68kSIiIiKqnHROdm7cuAFRFMsjFiqlzBwlgn46B4Uq//cgE4Av324Bawu5ESMjIiKqfHROdho2bIh79+5ptgcOHIikpKQSziBD+yr8Cq4kpUvKJrzcAK3q1jRSRERERJWXzsmOdq1OWFgYnjx5YrCAqGSnYx9i3dEbkrKmHg6Y/EpDI0VERERUubHPThXyJEuBGT+fR8F800Iuw1cDW8LCjL9KIiKiouj8DSkIQqHlB7gcQcVYFBaNuIcZkrLpXRuhsbu9kSIiIiKq/HSaQRlQN2ONGDEClpbqZQgyMzMxfvx42NraSo7bs2ePYSIkAMChmGRs/0e6qOoL9WtiTAcfI0VERERUNeic7AwfPlyyPWTIEIMFQ0V7nJGNj3ZdkJTZWMjxxVstIJexVo2IiKgkOic7mzZtKo84qATz/u8yktOyJGWzezZBPWfbYs4gIiKiPOzVWsmdjXuEX8/HS8o6NXLFuy/WNVJEREREVYvONTsAoFKpsHnzZuzZswc3b96EIAjw9vbGm2++iaFDh7LDsgH9ek6a6Dham2PpG835jImIiEpJr3l2+vTpgzFjxuDu3bto1qwZfH19cevWLYwYMQL9+/cvjzirJZVKxB+XEiRlo9p7w93RykgRERERVT061+xs3rwZR44cwcGDB9G5c2fJvr/++gv9+vXDDz/8gGHDhhksyOoq8vYjJKVK++r0bO5upGiIiIiqJp1rdnbs2IGPP/64UKIDAF26dMGsWbOwbds2gwRX3YVdTJRsN6xlhwa1OKcOERGRLnROdi5cuIDu3bsXu79Hjx44f/58mYKi3Casi9ImrNebeRgpGiIioqpL52Tn4cOHcHNzK3a/m5sbHj16pHdAq1atgre3N6ysrNCmTRscPXq0xOO3bduGFi1awMbGBh4eHhg5ciQePHig9/0ri/N3HiM+JVNSxmSHiIhIdzonO0qlEmZmxXf1kcvlUCgUegWzc+dOTJ06FbNnz0ZkZCQ6dOiAHj16IC4ursjjjx07hmHDhmH06NG4fPkyfv75Z5w5cwZjxozR6/6VyR+XpE1YPq62aORmZ6RoiIiIqq4yLxehLSsrq8jy0ggNDcXo0aM1ycry5cuxf/9+rF69GkuWLCl0/KlTp1C/fn1MnjwZAODt7Y1x48Zh2bJlxd4jKytLEmNqaqre8ZYXURQRpt2E5efB4eZERER60LlmZ9iwYahVqxYcHR2LfNWqVUuvkVjZ2dmIiIhA165dJeVdu3bFiRMnijwnMDAQd+7cQVhYGERRRFJSEnbt2oWePXsWe58lS5ZI4vXy8tI51vJ28W4K7jx6KiljExYREZF+9Bp6Xh7u378PpVJZqD+Qm5sbEhMTizwnMDAQ27Ztw8CBA5GZmQmFQoE+ffrgm2++KfY+wcHBCAoK0mynpqZWuoRHexRWfWcbNPHgKCwiIiJ96Fyz89dff6Fp06ZFNv+kpKTA19f3mZ2KS6LdVCOKYrHNN1FRUZg8eTLmzZuHiIgI7Nu3D7GxsRg/fnyx17e0tISDg4PkVZmIYuGJBHs0YxMWERGRvnSu2Vm+fDnGjh1bZJLg6OiIcePGITQ0FB06dNDpui4uLpDL5YVqcZKTk4sd/bVkyRK0b98eH374IQCgefPmsLW1RYcOHbBw4UJ4eFS9pp+ohFTcepAhKXvdr+p9DiIiospC55qd8+fPlzjPTteuXREREaFzIBYWFmjTpg3Cw8Ml5eHh4QgMDCzynIyMDMhk0o8gl8sBqGtIqiLtjsleTtbwq125ap+IiIiqEp2TnaSkJJibmxe738zMDPfu3dMrmKCgIKxfvx4bN25EdHQ0pk2bhri4OE2zVHBwsKTzc+/evbFnzx6sXr0aN27cwPHjxzF58mS8+OKL8PT01CsGY1KPwpLWbHEUFhERUdno3IxVu3ZtXLx4EQ0aNChy/4ULF/RuPho4cCAePHiAkJAQJCQkwM/PD2FhYahXrx4AICEhQTLnzogRI5CWloaVK1di+vTpqFGjBrp06YKlS5fqdX9ji0lKQ+z9J5KyHhyFRUREVCaCqGN7z6RJk3D48GGcOXMGVlbS1befPn2KF198EZ07d8aKFSsMGmh5SU1NhaOjI1JSUozeWTk0/ApWHLyq2fZ0tMLxWV1Ys0NERKRFl+9vnWt25syZgz179qBRo0aYOHEiGjduDEEQEB0djW+//RZKpRKzZ8/WO/jqTLu/DkdhERERlZ3OyY6bmxtOnDiB999/H8HBwZqOwIIgoFu3bli1alWJa2dR0a4mpeFacrqkjBMJEhERlZ3OyQ4A1KtXD2FhYXj06BGuXbsGURTRsGFD1KxZ09DxVRvaHZPdHazQyquGcYIhIiIyIXolO3lq1qyJF154wVCxVGvaEwl293OHTMYmLCIiorLSeeg5Gd71e+n4LzFNUsYmLCIiIsNgslMJ/KHVMbmWvSX867FJkIiIyBCY7FQC2v112IRFRERkOEx2jOzm/SeISpAuqtqDa2EREREZDJMdIwvT6pjsYmeBF72djBQNERGR6dFpNFZQUFCpjw0NDdU5mOroD60mrG6+7pCzCYuIiMhgdEp2IiMjS3UcZ/0tndsPM3DxboqkjKOwiIiIDEunZOfQoUPlFUe1pD23Tk0bc7RlExYREZFBlWlSQQCIiopCXFwcsrOzNWWCIKB3795lvbTJ+18RTVhmcnajIiIiMiS9k50bN26gf//+uHjxIgRBkKyRBQBKpdIwEZqoO48ycP72Y0lZDzZhERERGZze1QhTpkyBt7c3kpKSYGNjg8uXL+PIkSPw9/fH4cOHDRiiadp3SVqr42htjsDnnI0UDRERkenSu2bn5MmT+Ouvv+Dq6gqZTAaZTIaXXnoJS5YsweTJk0vdmbm6+kMr2ena1A3mbMIiIiIyOL2/XZVKJezs7AAALi4uiI+PB6BeET0mJsYw0ZmohJSniLj1SFLGUVhERETlQ++aHT8/P1y4cAE+Pj5o27Ytli1bBgsLC6xbtw4+Pj6GjNHkaDdh2VuZoX0DFyNFQ0REZNr0TnbmzJmDJ0+eAAAWLlyIXr16oUOHDnB2dsbOnTsNFqAp0p5I8LWmbrAwYxMWERFRedA72enWrZvmvY+PD6KiovDw4UPUrFmTkwqWIDk1E2duPZSUvc61sIiIiMpNmefZKcjJiRPiPcu+y4nIHaUPALCzNMNLDdmERUREVF70bjtZsmQJNm7cWKh848aNWLp0aZmCMmVhF6WzJr/SpBaszOVGioaIiMj06Z3srF27Fs8//3yhcl9fX6xZs6ZMQZmqe2lZOB2r1YTFUVhERETlSu9kJzExER4ehb+oXV1dkZCQUMQZdCAqEaoCTVg2FnJ0auRqvICIiIiqAb2THS8vLxw/frxQ+fHjx+Hp6VmmoEyVdhNWl+fZhEVERFTe9O6gPGbMGEydOhU5OTno0qULAODgwYOYOXMmpk+fbrAATcWD9CycusEmLCIiooqmd7Izc+ZMPHz4EBMmTNCseG5lZYWPPvoIwcHBBgvQVIRHJUFZoA3L2lyOzo1rGTEiIiKi6kHvZEcQBCxduhRz585FdHQ0rK2t0bBhQ1haWhoyPpMRpjVrcufnXWFtwSYsIiKi8lbmeXbs7OzwwgsvGCIWk/U4Ixsnrt2XlPXgRIJEREQVQqdkJygoCJ9++ilsbW0RFBRU4rGhoaFlCsyUHIhKgqJAE5almQydn2cTFhERUUXQKdmJjIxETk6O5n1xuFyE1B9ao7A6NXKFnaVBJ68mIiKiYuj0jXvo0CEA0CQ8a9euRaNGjQwflQlJeZqDY1pNWD2bswmLiIiooug1z465uTkuXbrEGpxS+DMqCTnK/CYsC7kMXdiERUREVGH0nlRw2LBh2LBhgyFjMUl/XJI2YXVs5AJ7K3MjRUNERFT96N1xJDs7G+vXr0d4eDj8/f1ha2sr2c8OykBaZg6OXOEoLCIiImPSO9m5dOkSWrduDQC4cuWKZB+bt9T++i8Z2UqVZttcLuDVpm5GjIiIiKj60TvZyeusTMX73wVpE9ZLDVzgaM0mLCIiooqkd58dKll6lgKHr9yTlPXgWlhEREQVjpMKlpND/yUjW5HfhGUmE9CVTVhEREQVjpMKloezZ/HHxhOAnbemKLCBC2rYWBgxKCIioupJr0kFtd+TVEZKOv6ylDZZve7nbqRoiIiIqjeD9NkRRRGiKD77wGrisFgDmeZWmm25SomunlwNnoiIyBjKlOxs2LABfn5+sLKygpWVFfz8/LB+/XpDxVZlJZvbwjY7Q7PdLu4inO4nlHAGERERlRe9h57PnTsXX331FSZNmoSAgAAAwMmTJzFt2jTcvHkTCxcuNFiQVc2IDs9h0OBXcNTSDX80fgntb54DbjcHWrY0dmhERETVjiDq2f7k4uKCb775Bu+8846kfMeOHZg0aRLu379fzJmVS2pqKhwdHZGSkgIHBwfDXTggADh1Kn975Urggw8Md30iIqJqTJfvb72bsZRKJfz9/QuVt2nTBgqFQt/Lmo66daXbt28bJw4iIqJqTu9kZ8iQIVi9enWh8nXr1mHw4MFlCsokeHlJt+PijBMHERFRNad3nx1A3UH5wIEDaNeuHQDg1KlTuH37NoYNGyaZdLBaTjDImh0iIqJKwSALgV6/fh0A4OrqCldXV1y6dElzXLWdYFA72WHNDhERkVFwIdDyot2MdfcuoFQCcrlx4iEiIqqmuBBoedGu2VEqgQTOtUNERFTRytRnJzMzExcuXEBycjJUKpVkX58+fcoUWJXn4gJYWQGZmfllcXFAnTrGi4mIiKga0jvZ2bdvH4YNG1bkfDqCIECpVJYpsCpPENRNWVev5pexkzIREVGF07sZa+LEiXjrrbeQkJAAlUoleVX7RCcPh58TEREZnd7JTnJyMoKCguDm5mbIeEwLh58TEREZnd7JzptvvonDhw8bMBQTxOHnRERERqd3n52VK1firbfewtGjR9GsWTOYm5tL9k+ePFmv665atQqff/45EhIS4Ovri+XLl6NDhw7FHp+VlYWQkBBs3boViYmJqFOnDmbPno1Ro0bpdX+DYjMWERGR0emd7Gzfvh379++HtbU1Dh8+LJk8UBAEvZKdnTt3YurUqVi1ahXat2+PtWvXokePHoiKikJd7VqSXG+//TaSkpKwYcMGNGjQAMnJyZVnbS42YxERERmd3queu7u7Y/LkyZg1axZkMsNM19O2bVu0bt1asuZWkyZN0K9fPyxZsqTQ8fv27cOgQYNw48YNODk5leoeWVlZyMrK0mynpqbCy8vL8KueA0B0NNC0qbTsyRPAxsaw9yEiIqpmKmTV8+zsbAwcONBgiU52djYiIiLQtWtXSXnXrl1x4sSJIs/59ddf4e/vj2XLlqF27dpo1KgRZsyYgadPnxZ7nyVLlsDR0VHz8tJuajKkoq5950753Y+IiIgK0TtTGT58OHbu3GmwQO7fvw+lUllodJebmxsSExOLPOfGjRs4duwYLl26hL1792L58uXYtWsXPvjgg2LvExwcjJSUFM3rdnk2LdnZATVrSsvYb4eIiKhC6d1nR6lUYtmyZdi/fz+aN29eqIOyviuday8cKopisYuJqlQqCIKAbdu2wdHRUXPfN998E99++y2sra0LnWNpaQlLS0u9YtNL3brAo0f52+y3Q0REVKH0TnYuXryIVq1aAYBklXN9ubi4QC6XF6rFSU5OLnYuHw8PD9SuXVuT6ADqPj6iKOLOnTto2LBhmeMqs7p1gfPn87dZs0NERFShKs2q5xYWFmjTpg3Cw8PRv39/TXl4eDj69u1b5Dnt27fHzz//jPT0dNjZ2QEArly5AplMhjqVZQ0qDj8nIiIyKp377Lz++utISUnRbC9atAiPHz/WbD948ABNtUcglVJQUBDWr1+PjRs3Ijo6GtOmTUNcXBzGjx8PQN3fZtiwYZrj3333XTg7O2PkyJGIiorCkSNH8OGHH2LUqFFFNmEZBYefExERGZXONTv79++XDN1eunQp3nnnHdSoUQMAoFAoEBMTo1cwAwcOxIMHDxASEoKEhAT4+fkhLCwM9erVAwAkJCQgrkDNiJ2dHcLDwzFp0iT4+/vD2dkZb7/9NhYuXKjX/csFa3aIiIiMSud5dmQyGRITE1GrVi0AgL29Pc6fPw8fHx8AQFJSEjw9PavMYqC6jNPXy7FjQMEZoG1sgPR09aroREREpJcKmWeHSkm7ZicjA3j40DixEBERVUM6JzuCIBQaCl7c0HAC4OkJaE+8yH47REREFUbnPjuiKGLEiBGauWoyMzMxfvx42NraAoCkPw8BMDdXJzwFZ06OiwNatjRaSESGplKpkJ2dbewwiMjEWFhYGGSlBp2TneHDh0u2hwwZUuiYgiOmCOqmLO1kh8hEZGdnIzY2FiqVytihEJGJkclk8Pb2hoWFRZmuo3Oys2nTpjLdsFqqWxc4eTJ/m81YZCJEUURCQgLkcjm8vLwMtlYeEZFKpUJ8fDwSEhJQt27dMnWZ0XtSQdIBh5+TiVIoFMjIyICnpydsbGyMHQ4RmRhXV1fEx8dDoVAUWpZKF/xnWEXgxIJkovKmmChrFTMRUVHy/t9S1ulsmOxUBNbskInjiEwiKg+G+n8Lk52KoF2zc/cuoFAYJxYiIqJqhslORdBOdlQqICHBOLEQkUHcvHkTgiDg3LlzleI6z/Lff/+hXbt2sLKyQktOfUHVDJOdiuDsDFhZScvYlEVkNCNGjNBMkGpmZoa6devi/fffx6NHj8r9vv369ZOUeXl5adYCLE+ffPIJbG1tERMTg4MHD5brvYgqG51GYwUFBZX62NDQUJ2DMVmCoK7duXIlv4ydlImMqnv37ti0aRMUCgWioqIwatQoPH78GDt27KjQOORyOdzd3cv9PtevX0fPnj01CysXJScnp0wjXogqK51qdiIjIyWv9evXY+3atTh8+DAOHz6MdevWYcOGDeVeHVslsZMymTqVCrh3z7gvHSY2tLS0hLu7O+rUqYOuXbti4MCBOHDggOSYTZs2oUmTJrCyssLzzz+PVatWFXs9pVKJ0aNHw9vbG9bW1mjcuDG+/vprzf758+fj+++/x//93/9papUOHz4sacZSqVSoU6cO1qxZI7n22bNnIQgCbty4AQBISUnBe++9h1q1asHBwQFdunTB+fPni41NEAREREQgJCQEgiBg/vz5mvv+9NNPePnll2FlZYWtW7eW6nOfPn0arVq1gpWVFfz9/bF3715JU9zmzZtRo0YNyTm//PJLoc6mv/32G9q0aQMrKyv4+PhgwYIFUBTozygIAtavX4/+/fvDxsYGDRs2xK+//iq5xuXLl9GzZ084ODjA3t4eHTp0wPXr13HkyBGYm5sjMTFRcvz06dPRsWPHYp8VmShRT19++aXYu3dv8eHDh5qyhw8fin379hW/+OILfS9b4VJSUkQAYkpKSvneaORIUQTyXxMnlu/9iCrA06dPxaioKPHp06eimJws/Rs3xis5uVRxDx8+XOzbt69m+/r162LTpk1FNzc3Tdm6detEDw8Pcffu3eKNGzfE3bt3i05OTuLmzZtFURTF2NhYEYAYGRkpiqIoZmdni/PmzRNPnz4t3rhxQ9y6datoY2Mj7ty5UxRFUUxLSxPffvttsXv37mJCQoKYkJAgZmVlFbrO9OnTxZdeekkS7/Tp08WAgABRFEVRpVKJ7du3F3v37i2eOXNGvHLlijh9+nTR2dlZfPDgQZGfNyEhQfT19RWnT58uJiQkiGlpaZr71q9fX/MZ7969+8zPnZ6eLrq6uooDBw4UL126JP7222+ij4+P5DNs2rRJdHR0lMSwd+9eseBXzr59+0QHBwdx8+bN4vXr18UDBw6I9evXF+fPn685BoBYp04dcfv27eLVq1fFyZMni3Z2dprPeefOHdHJyUkcMGCAeObMGTEmJkbcuHGj+N9//4miKIqNGjUSly1bprleTk6OWKtWLXHjxo1F/2FQpSP5f4wWXb6/9U52PD09xUuXLhUqv3jxoujh4aHvZStchSU78+ZJ/6fcp0/53o+oAlTlZEcul4u2trailZWVCEAEIIaGhmqO8fLyErdv3y4579NPP9UkHdpJSlEmTJggvvHGG5L7FkyyirrO2bNnRUEQxJs3b4qiKIpKpVKsXbu2+O2334qiKIoHDx4UHRwcxMzMTMl1nnvuOXHt2rXFxtKiRQvxk08+KXTf5cuXS4571udeu3at6OTkJD558kSzf/Xq1TonOx06dBAXL14sOWbLli2S7w8A4pw5czTb6enpoiAI4h9//CGKoigGBweL3t7eYnZ2dpGfeenSpWKTJk0027/88otoZ2cnpqenF3k8VT6GSnb0nkE5NTUVSUlJ8PX1lZQnJycjLS1N38uaLu0RWWzGIjKqzp07Y/Xq1cjIyMD69etx5coVTJo0CQBw79493L59G6NHj8bYsWM15ygUCjg6OhZ7zTVr1mD9+vW4desWnj59iuzsbJ1HPrVq1QrPP/88duzYgVmzZuHvv/9GcnIy3n77bQBAREQE0tPT4ezsLDnv6dOnuH79uk73AgB/f3/N+9J87ujoaLRo0UIyY3ZAQIDO942IiMCZM2ewaNEiTZlSqURmZiYyMjI012/evLlmv62tLezt7ZGcnAwAOHfuHDp06FBsP6MRI0Zgzpw5OHXqFNq1a4eNGzfi7bff1ixcTdWH3slO//79MXLkSHz55Zdo164dAODUqVP48MMPMWDAAIMFaDI4izJRpWJra4sGDRoAAFasWIHOnTtjwYIF+PTTTzWLmn733Xdo27at5Dy5XF7k9X766SdMmzYNX375JQICAmBvb4/PP/8c//zzj86xDR48GNu3b8esWbOwfft2dOvWDS4uLgDU6wV5eHjg8OHDhc7T7idTGgW/+EvzuUVRfOY1ZTJZoeNycnIk2yqVCgsWLCjy+8KqwOhV7URGEARNnNbW1iXGUatWLfTu3RubNm2Cj48PwsLCinxuZPr0TnbWrFmDGTNmYMiQIcjJyYEoijA3N8fo0aPx+eefGzJG06DdQfnBAyAjA+B6QmQqnJ2B3H9xGzUGPX3yySfo0aMH3n//fXh6eqJ27dq4ceMGBg8eXKrzjx49isDAQEyYMEFTpl3TYmFhUapp7999913MmTMHERER2LVrF1avXq3Z17p1ayQmJsLMzAz169cv3YcrJTc3t2d+7qZNm2LLli14+vSpJtk4deqU5BhXV1ekpaXhyZMnmmRKe+BK69atERMTo0k49dG8eXN8//33JY4iGzNmDAYNGoQ6dergueeeQ/v27fW+H1Vdeic7NjY2WLVqFT7//HNcv34doiiiQYMGrB4sjnayA6hrdxo3rvhYiMqDTAa4uho7Cr29/PLL8PX1xeLFi7Fy5UrMnz8fkydPhoODA3r06IGsrCz8+++/ePToUZHTcDRo0AA//PAD9u/fD29vb2zZsgVnzpyBt7e35pj69etj//79iImJgbOzc7FNYt7e3ggMDMTo0aOhUCjQt29fzb5XX30VAQEB6NevH5YuXYrGjRsjPj4eYWFh6Nevn6RZSh/P+tzvvvsuZs+ejdGjR2POnDm4efMmvvjiC8k12rZtCxsbG3z88ceYNGkSTp8+jc2bN0uOmTdvHnr16gUvLy+89dZbkMlkuHDhAi5evIiFCxeWKtaJEyfim2++waBBgxAcHAxHR0ecOnUKL774Ihrn/r+1W7ducHR0xMKFCxESElKmZ0NVV5kmFTx48CAWLVqEFStW4Ouvv8akSZMwatQojBo1ylDxmQ5bW8DJSVrGfjtElUpQUBC+++473L59G2PGjMH69euxefNmNGvWDJ06dcLmzZslyUtB48ePx4ABAzBw4EC0bdsWDx48kNTyAMDYsWPRuHFj+Pv7w9XVFcePHy82lsGDB+P8+fMYMGCApLlGEASEhYWhY8eOGDVqFBo1aoRBgwbh5s2bcHNzK/MzeNbntrOzw2+//YaoqCi0atUKs2fPxtKlSyXXcHJywtatWxEWFoZmzZphx44dmD9/vuSYbt264ffff0d4eDheeOEFtGvXDqGhoSXOA6TN2dkZf/31F9LT09GpUye0adMG3333naSWRyaTYcSIEVAqlRg2bJj+D4aqNEEsTQNsERYsWICQkBD4+/vDw8Oj0PwJe/fuNUiA5S01NRWOjo5ISUmBg4ND+d6sVSugYFXuhg0AE0OqwjIzMxEbGwtvb29JPwuqXm7evAlvb29ERkZWyqUoxo4di6SkpEJz9FDlV9L/Y3T5/i5Tn53Nmzdj6NCh+l6i+vHykiY7rNkhIio3KSkpOHPmDLZt24b/+7//M3Y4ZER6JzvZ2dkIDAw0ZCymj8PPiYgqTN++fXH69GmMGzcOr732mrHDISPSO9kZM2YMtm/fjrlz5xoyHtPG4edEZILq169fqiHpFY3DzCmP3slOZmYm1q1bhz///BPNmzcvNOyPC4EWgetjERERVTi9k50LFy5oOqJdunRJsk+7szLlKqpmRxTVq6ITERFRudA72Tl06JAh46getGt2nj5VTy6YOzMqERERGV6Z5tkhHXl6qideK4j9doiIiMqV3jU7eaKiohAXF4fs7GxJeZ8+fcp6adNjZqZOeO7cyS+Li1PPv0NERETlQu9k58aNG+jfvz8uXrwIQRA0PfHz+uuUZv2Xaqlu3cLJDhEREZUbvZuxpkyZAm9vbyQlJcHGxgaXL1/GkSNH4O/vz+F+JeHwcyIqBUEQ8Msvv1Sa61RGN2/ehCAIhRYZ1TZ//nyDzuy8efNmnVeY14718OHDEAQBjx8/NlhceQr+zkv7jAxxr8pM72Tn5MmTCAkJgaurK2QyGWQyGV566SUsWbIEkydPNmSMpoXDz4kqhcTEREyaNAk+Pj6wtLSEl5cXevfujYMHDxo7NL0U94WekJCAHj16VHxAFcDLywsJCQnw8/Mr8bgZM2ZUut9rYGAgEhISil0MtiBdE6Py+J1X9b8vvZuxlEol7OzsAAAuLi6Ij49H48aNUa9ePcTExBgsQJPDmh0io7t58ybat2+PGjVqYNmyZWjevDlycnKwf/9+fPDBB/jvv/+MHaLBuLu7GzuEciOXy0v8fKIoar6r8r6vKgsLCwuD/26ys7PL5bolqSp/X3rX7Pj5+eHChQsAgLZt22LZsmU4fvw4QkJC4OPjY7AATQ5rdshEqVQiHqRnGfWlUpVuFt8JEyZAEAScPn0ab775Jho1agRfX18EBQXh1KlTAIqu/n/8+DEEQdA01ef9i3v//v1o1aoVrK2t0aVLFyQnJ+OPP/5AkyZN4ODggHfeeQcZGRma69SvXx/Lly+XxNSyZctCK4MX9NFHH6FRo0awsbGBj48P5s6di5ycHADqZpUFCxbg/PnzEAQBgiBg8+bNAKTNDAEBAZg1a5bkuvfu3YO5ublmOpHs7GzMnDkTtWvXhq2tLdq2bfvMrgkpKSl47733UKtWLTg4OKBLly44f/68Zn9ercDGjRtRt25d2NnZ4f3334dSqcSyZcvg7u6OWrVqYdGiRZLrCoKA1atXo0ePHrC2toa3tzd+/vlnzf7imob2798Pf39/WFpa4ujRo0XWSmzcuBG+vr6wtLSEh4cHJk6cqNkXGhqKZs2awdbWFl5eXpgwYQLS09NLfAbaTp8+jVatWsHKygr+/v6IjIyU7Neurbl16xZ69+6NmjVrwtbWFr6+vggLC8PNmzfRuXNnAEDNmjUhCAJGjBgBAHj55ZcxceJEBAUFwcXFRbMkRlFNS//99x8CAwNhZWUFX19fye+0qGa5X375RdMHt7R/XwBw8eJFdOnSBdbW1nB2dsZ7770neXYjRoxAv3798MUXX8DDwwPOzs744IMPNH/L5UXvmp05c+bgyZMnAICFCxeiV69e6NChA5ydnbFz506DBWhytGt24uMBhUI9UouoCnuUkY02C/80agwRc16Fs51licc8fPgQ+/btw6JFi2Bra1tov659MQD1l/nKlSthY2ODt99+G2+//TYsLS2xfft2pKeno3///vjmm2/w0Ucf6XztPPb29ti8eTM8PT1x8eJFjB07Fvb29pg5cyYGDhyIS5cuYd++ffjzT/XvoKjmkcGDB+Pzzz/HkiVLNF9kO3fuhJubGzp16gQAGDlyJG7evIkff/wRnp6e2Lt3L7p3746LFy+iYcOGha4piiJ69uwJJycnhIWFwdHREWvXrsUrr7yCK1euwMnJCQBw/fp1/PHHH9i3bx+uX7+ON998E7GxsWjUqBH+/vtvnDhxAqNGjcIrr7yCdu3aaa4/d+5cfPbZZ/j666+xZcsWvPPOO/Dz80OTJk2KfVYzZ87EF198AR8fH9SoUQN///23ZP/q1asRFBSEzz77DD169EBKSgqOHz+u2S+TybBixQrUr18fsbGxmDBhAmbOnIlVq1aV6nf15MkT9OrVC126dMHWrVsRGxuLKVOmlHjOBx98gOzsbBw5cgS2traIioqCnZ0dvLy8sHv3brzxxhuIiYmBg4MDrK2tNed9//33eP/993H8+PESl+z48MMPsXz5cjRt2hShoaHo06cPYmNj4ezs/MzPU9q/r4yMDHTv3h3t2rXDmTNnkJycjDFjxmDixIma5AhQz9Pn4eGBQ4cO4dq1axg4cCBatmyJsWPHPjMWfen9DdutWzfNex8fH0RFReHhw4eazJOKoV2zo1KpEx7tJIiIysW1a9cgiiKef/55g11z4cKFaN++PQBg9OjRCA4OxvXr1zW13G+++SYOHTpUpmRnzpw5mvf169fH9OnTsXPnTsycORPW1taws7ODmZlZic0KAwcOxLRp03Ds2DF06NABALB9+3a8++67kMlkuH79Onbs2IE7d+7A09MTgLq/y759+7Bp0yYsXry40DUPHTqEixcvIjk5GZaW6kTziy++wC+//IJdu3bhvffeAwCoVCps3LgR9vb2aNq0KTp37oyYmBiEhYVBJpOhcePGWLp0KQ4fPixJdt566y2MGTMGAPDpp58iPDwc33zzTYmJR0hISIkLfy5cuBDTp0+XJCAvvPCC5v3UqVM17729vfHpp5/i/fffL3Wys23bNiiVSmzcuBE2Njbw9fXFnTt38P777xd7TlxcHN544w00a9YMACQtJHkJY61atQol4w0aNMCyZcueGdPEiRPxxhtvAFAne/v27cOGDRswc+bMZ55b2r+vbdu24enTp/jhhx80/5BYuXIlevfujaVLl8LNzQ2AuoZq5cqVkMvleP7559GzZ08cPHiwciY7Rcn7hVAJnJ0Ba2v17Ml54uKY7BBVEO1pMgyhefPmmvdubm6apqaCZadPny7TPXbt2oXly5fj2rVrSE9Ph0KhgIODg07XcHV1xWuvvYZt27ahQ4cOiI2NxcmTJ7F69WoAwNmzZyGKIho1aiQ5Lysrq9gagIiICKSnpxfa//TpU1y/fl2zXb9+fdjb22u23dzcIJfLISsw0aqbmxuSk5Ml1wkICCi0/ayRRf7+/sXuS05ORnx8PF555ZVijzl06BAWL16MqKgopKamQqFQIDMzE0+ePCmyNlBbdHQ0WrRoARsbm2I/h7bJkyfj/fffx4EDB/Dqq6/ijTfekPxdFaekz1pQwfubmZnB398f0dHRpTq3tPI+d8Fn1L59e6hUKsTExGiSHV9fX8jlcs0xHh4euHjxokFj0cYZlCuaILCTMpERNWzYEIIgPPN/9HlfwgWbBorrV1BwIWRBEAotjCwIAlQqleTa2k0OJfVZOHXqFAYNGoQePXrg999/R2RkJGbPnl1oMtfSGDx4MHbt2oWcnBxs374dvr6+aNGiBQB17YtcLkdERATOnTuneUVHR+Prr78u8noqlQoeHh6S48+dO4eYmBh8+OGHmuOKeibPek7FeVaiWlJCUrAJqCi3bt3C66+/Dj8/P+zevRsRERH49ttvAZT8OypInxXgx4wZgxs3bmDo0KG4ePEi/P398c033zzzvNIkX8XJe466/j0WRxTFYn83Bcv1/b2XBTuKGIOXF1BwxBo7KZMJqGljgYg5rxo9hmdxcnJCt27d8O2332Ly5MmFviweP36MGjVqwNXVFYB6aG2r3FnODTVXiaurKxISEjTbqampiI2NLfb448ePo169epg9e7am7NatW5JjLCwsSjWZa79+/TBu3Djs27cP27dvx9ChQzX7WrVqBaVSieTkZE0z17O0bt0aiYmJMDMzQ/369Ut1ji5OnTqFYcOGSbZblWHWeXt7e9SvXx8HDx7UdPwt6N9//4VCocCXX36pSXh/+uknne7RtGlTbNmyBU+fPtUkV3kd30vi5eWF8ePHY/z48QgODsZ3332HSZMmwcJC/Xddlsl6T506hY4dOwIAFAoFIiIiNJ2yXV1dkZaWJqm50v5bL83fV9OmTfH9999LrnP8+HHIZLJCtYUVjTU7xsCaHTJBMpkAZztLo75kstI1Ta1atQpKpRIvvvgidu/ejatXryI6OhorVqzQVPdbW1ujXbt2+OyzzxAVFYUjR45I+s2URZcuXbBlyxYcPXoUly5dwvDhwyXV+toaNGiAuLg4/Pjjj7h+/TpWrFiBvXv3So7J60x77tw53L9/H1lZWUVey9bWFn379sXcuXMRHR2Nd999V7OvUaNGGDx4MIYNG4Y9e/YgNjYWZ86cwdKlSxEWFlbk9V599VUEBASgX79+2L9/P27evIkTJ05gzpw5+Pfff/V4OlI///wzNm7ciCtXruCTTz7B6dOnJSOn9DF//nx8+eWXWLFiBa5evYqzZ89qalGee+45KBQKfPPNN7hx4wa2bNmCNWvW6HT9vD5Qo0ePRlRUFMLCwvDFF1+UeM7UqVOxf/9+xMbG4uzZs/jrr780nbDr1asHQRDw+++/4969ezqPDAOAb7/9Fnv37sV///2HDz74AI8ePcKoUaMAqEdU29jY4OOPP8a1a9ewfft2SYdioHR/X4MHD4aVlRWGDx+OS5cu4dChQ5g0aRKGDh2qacIyFiY7xsDh50RG5e3tjbNnz6Jz586YPn06/Pz88Nprr+HgwYOa/iuAenhyTk4O/P39MWXKFCxcuNAg9w8ODkbHjh3Rq1cvvP766+jXrx+ee+65Yo/v27cvpk2bhokTJ6Jly5Y4ceIE5s6dKznmjTfeQPfu3dG5c2e4urpix44dxV5v8ODBOH/+PDp06IC6Wv/42rRpE4YNG4bp06ejcePG6NOnD/755x94af9/K5cgCAgLC0PHjh0xatQoNGrUCIMGDcLNmzcN8gW3YMEC/Pjjj2jevDm+//57bNu2DU2bNi3TNYcPH47ly5dj1apV8PX1Ra9evXD16lUA6ikAQkNDsXTpUvj5+WHbtm1YsmSJTte3s7PDb7/9hqioKLRq1QqzZ8/G0qVLSzxHqVTigw8+QJMmTdC9e3c0btxY0yG6du3aWLBgAWbNmgU3Nze9kr3PPvsMS5cuRYsWLXD06FH83//9H1xcXACoazu3bt2KsLAwNGvWDDt27Cg0DUJp/r5sbGywf/9+PHz4EC+88ALefPNNvPLKK1i5cqXO8RqaIOrTuAj1WPlRo0ZpqsWqqtTUVDg6OiIlJUXnzn5627gRGD06f7tlS0BrDgaiqiAzMxOxsbHw9vaGlZWVscMhEyMIAvbu3Yt+/foZOxQykpL+H6PL97feNTtpaWno2rUrGjZsiMWLF+Pu3bv6Xqr6Yc0OERFRhdE72dm9ezfu3r2LiRMn4ueff0b9+vXRo0cPTS9/KoF2n52HD4HcCRqJiIjIsMrUZ8fZ2RlTpkxBZGQkTp8+jQYNGmDo0KHw9PTEtGnTNG2gpKWotm92UiYikhBFkU1YZBAG6aCckJCAAwcO4MCBA5DL5Xj99ddx+fJlNG3aFF999ZUhbmFabGzUkwsWxKYsIiKicqF3spOTk4Pdu3ejV69eqFevHn7++WdMmzYNCQkJ+P7773HgwAFs2bIFISEhhozXdHD4OZkQPcc5EBGVyFD/b9F7UkEPDw+oVCq88847OH36dKEVZQH1+ln6LKpXLXh5SUdgsWaHqqC8uWGys7OfOTMtEZGu8mYJL2keqtLQO9n56quv8NZbb5U43LRmzZolzgparbFmh0yAmZkZbGxscO/ePZibm0vWOSIiKguVSoV79+7BxsYGZmZlW/BB77Pv3LmD7du3a2ZgzLNx40bcu3evTKv7Vgscfk4mQBAEeHh4IDY2ttDyBUREZSWTyVC3bt0yL9yrd7Kzdu1abN++vVC5r68vBg0axGTnWbRrdpjsUBVlYWGBhg0b6rUoJRFRSSwsLAxSY6x3spOYmAgPD49C5doL3FEximrGEkX1quhEVYxMJuMMykRUaemdLnl5eeH48eOFyo8fPw5PT88yBVUtaDdjZWYC9+8bJxYiIiITpnfNzpgxYzB16lTk5OSgS5cuAICDBw9i5syZmD59usECNFkeHoBcDiiV+WW3bwOursaLiYiIyATpnezMnDkTDx8+xIQJEzRt9VZWVvjoo48QHBxssABNlpkZ4OkpHYUVFwe0bm28mIiIiEyQ3smOIAhYunQp5s6di+joaFhbW6Nhw4awtLQ0ZHymrW5dabLD4edEREQGV+YuznZ2dnjhhRfg5+dnkERn1apVmqXc27Rpg6NHj5bqvOPHj8PMzKzIyQ0rLQ4/JyIiKndlmqXn4MGDOHjwIJKTk6FSqST7Nm7cqPP1du7cialTp2LVqlVo37491q5dix49eiAqKgp1tUcvFZCSkoJhw4bhlVdeQVJSks73NRoOPyciIip3etfsLFiwAF27dsXBgwdx//59PHr0SPLSR2hoKEaPHo0xY8agSZMmWL58Oby8vLB69eoSzxs3bhzeffddBAQE6HVfo+EsykREROVO75qdNWvWYPPmzRg6dKhBAsnOzkZERARmzZolKe/atStOnDhR7HmbNm3C9evXsXXrVixcuPCZ98nKykJWVpZmOzU1Vf+gy4rNWEREROVO75qd7OxsBAYGGiyQ+/fvQ6lUws3NTVLu5uaGxMTEIs+5evUqZs2ahW3btpV63YwlS5bA0dFR8/LSTjgqknbNTkICkJNjnFiIiIhMlN7JzpgxY4pcLqKstNe/EEWxyDUxlEol3n33XSxYsACNGjUq9fWDg4ORkpKied02ZtORdqKlUgHx8caJhYiIyETp3YyVmZmJdevW4c8//0Tz5s1hbm4u2R8aGqrT9VxcXCCXywvV4iQnJxeq7QGAtLQ0/Pvvv4iMjMTEiRMBqFdIFUURZmZmOHDggGayw4IsLS0rz/B4JyfAxgbIyMgvu30bqFfPeDERERGZGL2TnQsXLmiGeV+6dEmyT5/VSS0sLNCmTRuEh4ejf//+mvLw8HD07du30PEODg64ePGipGzVqlX466+/sGvXLnh7e+scQ4UTBHXtTkxMfhn77RARERmU3snOoUOHDBkHACAoKAhDhw6Fv78/AgICsG7dOsTFxWH8+PEA1E1Qd+/exQ8//ACZTAY/Pz/J+bVq1YKVlVWh8kqtbl0mO0REROWoTPPsGNrAgQPx4MEDhISEICEhAX5+fggLC0O93GadhIQExJlaMsDh50REROVKEEVR1Pfko0ePYu3atbh+/Tp27dqF2rVrY8uWLfD29sZLL71kyDjLTWpqKhwdHZGSkgIHB4eKD2DBAmD+/PztXr2A336r+DiIiIiqEF2+v/UejbV7925069YN1tbWiIyM1Mxdk5aWhsWLF+t72eqHNTtERETlSu9kZ+HChVizZg2+++47yUiswMBAnD171iDBVQucWJCIiKhc6Z3sxMTEoGPHjoXKHRwc8Pjx47LEVL1o1+w8egSkpxsnFiIiIhOkd7Lj4eGBa9euFSo/duwYfHx8yhRUtVKnTuEyNmUREREZjN7Jzrhx4zBlyhT8888/EAQB8fHx2LZtG2bMmIEJEyYYMkbTZmMDuLhIy9iURUREZDB6Dz2fOXMmUlJS0LlzZ2RmZqJjx46wtLTEjBkzNDMaUynVrQvcv5+/zZodIiIigynTPDuLFi3C7NmzERUVBZVKhaZNm8LOzs5QsVUfXl5AwU7drNkhIiIyGL2TnZCQkEJl+/bt07yfN2+evpeufjj8nIiIqNzonezs3btXsp2Tk4PY2FiYmZnhueeeY7KjCw4/JyIiKjd6JzuRkZGFylJTUzFixAjJQp5UCqzZISIiKjd6j8YqioODA0JCQjB37lxDXtb0FVWzo/8qHkRERFSAQZMdAHj8+DFSUlIMfVnTpl2zk5UF3LtnnFiIiIhMjN7NWCtWrJBsi6KIhIQEbNmyBd27dy9zYNWKhwcglwNKZX7Z7dtArVrGi4mIiMhE6J3sfPXVV5JtmUwGV1dXDB8+HMHBwWUOrFqRy4HataUdk+PigDZtjBcTERGRidA72YmNjTVkHFS3rjTZYSdlIiIigzB4nx3SE4efExERlQu9a3aCgoJKfWxoaKi+t6k+OPyciIioXJRpnp2zZ89CoVCgcePGAIArV65ALpejdevWmuMEQSh7lNUBa3aIiIjKhd7JTu/evWFvb4/vv/8eNWvWBAA8evQII0eORIcOHTB9+nSDBVktaNfsMNkhIiIyCEEU9Zu9rnbt2jhw4AB8fX0l5ZcuXULXrl0RHx9vkADLW2pqKhwdHZGSkgIHBwfjBXL+PNCyZf62IKjn2zE3N1pIRERElZUu3996d1BOTU1FUlJSofLk5GSkpaXpe9nqS7sZSxSBu3eNEwsREZEJ0TvZ6d+/P0aOHIldu3bhzp07uHPnDnbt2oXRo0djwIABhoyxeqhZE7C1lZaxkzIREVGZ6d1nZ82aNZgxYwaGDBmCnJwc9cXMzDB69Gh8/vnnBguw2hAEde3Of//ll7HfDhERUZnpnezY2Nhg1apV+Pzzz3H9+nWIoogGDRrAVrt2gkqvbl1pssOaHSIiojLTO9nJY2tri+bNmxsiFuLwcyIiIoMr0wzKR48exZAhQxAQEIC7uZ1pt2zZgmPHjhkkuGqHw8+JiIgMTu9kZ/fu3ejWrRusra0RGRmJrKwsAEBaWhoWL15ssACrFc6iTEREZHB6JzsLFy7EmjVr8N1338G8wFwwgYGBOHv2rEGCq3bYjEVERGRweic7MTEx6NixY6FyBwcHPH78uCwxVV/aNTuPHwOcs4iIiKhM9E52PDw8cO3atULlx44dg4+PT5mCqrbq1ClcxqYsIiKiMtE72Rk3bhymTJmCf/75B4IgID4+Htu2bcOMGTMwYcIEQ8ZYfVhbA66u0jImO0RERGWi99DzmTNnIiUlBZ07d0ZmZiY6duwIS0tLzJgxAxMnTjRkjNWLlxdw717+NvvtEBERlYleyU5OTg66du2KtWvXYvbs2YiKioJKpULTpk1hZ2dn6Birl7p1gYIdvJnsEBERlYleyY65uTkuXboEQRBgY2MDf39/Q8dVfXH4ORERkUHp3Wdn2LBh2LBhgyFjIYDDz4mIiAxM7z472dnZWL9+PcLDw+Hv719oTazQ0NAyB1ctsWaHiIjIoPROdi5duoTWrVsDAK5cuSLZJwhC2aKqzrRrdm7fBlQqQFamlT2IiIiqLb2TnUOHDhkyDsqjXbOTlaUeneXmZpx4iIiIqjidqwtu3LgBURTLIxYCAHd3wEwrB2VTFhERkd50TnYaNmyIewXmgRk4cCCSkpIMGlS1JpcDtWtLy9hJmYiISG86JzvatTphYWF48uSJwQIisJMyERGRAbHXa2XE4edEREQGo3OyIwhCodFWHH1lYKzZISIiMhidR2OJoogRI0bA0tISAJCZmYnx48cXmmdnz549homwOmLNDhERkcHonOwMHz5csj1kyBCDBUO5tGt2mOwQERHpTedkZ9OmTeURBxWkXbOTmAhkZwMWFsaJh4iIqApjB+XKSLtmRxSBu3eNEwsREVEVx2SnMqpRA7Czk5axkzIREZFemOxURoLATspEREQGwmSnsuLwcyIiIoNgslNZsWaHiIjIIMqU7Bw9ehRDhgxBQEAA7uZ2oN2yZQuOHTtmkOCqNQ4/JyIiMgi9k53du3ejW7dusLa2RmRkJLKysgAAaWlpWLx4scECrLa0a3bYjEVERKQXvZOdhQsXYs2aNfjuu+9gbm6uKQ8MDMTZs2cNEly1xpodIiIig9A72YmJiUHHjh0LlTs4OODx48dliYmAwslOSgqQmmqcWIiIiKowvZMdDw8PXLt2rVD5sWPH4OPjU6agCECdOoXL2JRFRESkM72TnXHjxmHKlCn4559/IAgC4uPjsW3bNsyYMQMTJkzQO6BVq1bB29sbVlZWaNOmDY4ePVrssXv27MFrr70GV1dXODg4ICAgAPv379f73pWKlRVQq5a0jMkOERGRzvROdmbOnIl+/fqhc+fOSE9PR8eOHTFmzBiMGzcOEydO1OuaO3fuxNSpUzF79mxERkaiQ4cO6NGjB+KK6a9y5MgRvPbaawgLC0NERAQ6d+6M3r17IzIyUt+PVblw+DkREVGZCaIoimW5QEZGBqKioqBSqdC0aVPYaS9zoIO2bduidevWWL16taasSZMm6NevH5YsWVKqa/j6+mLgwIGYN29eqY5PTU2Fo6MjUlJS4ODgoFfc5WbAAGDv3vzt2bOBhQuNFw8REVElocv3t86rnmuzsbGBv79/WS+D7OxsREREYNasWZLyrl274sSJE6W6hkqlQlpaGpycnIo9JisrSzNMHlA/rEqLsygTERGVmd7NWCNHjsTBgwdRxoohjfv370OpVMLNzU1S7ubmhsTExFJd48svv8STJ0/w9ttvF3vMkiVL4OjoqHl5aTcVVSZsxiIiIiozvZOdBw8eoGfPnqhTpw6mT5+Oc+fOGSQgQRAk26IoFioryo4dOzB//nzs3LkTtbQ79hYQHByMlJQUzet2Za4tYc0OERFRmemd7Pz6669ITEzEJ598goiICLRp0wZNmzbF4sWLcfPmTZ2v5+LiArlcXqgWJzk5uVBtj7adO3di9OjR+Omnn/Dqq6+WeKylpSUcHBwkr0qrqFmUVSrjxEJERFRFlWltrBo1auC9997D4cOHcevWLYwcORJbtmxBgwYNdL6WhYUF2rRpg/DwcEl5eHg4AgMDiz1vx44dGDFiBLZv346ePXvqfN9KTbtmJzsbuHfPOLEQERFVUWXuoAwAOTk5+Pfff/HPP//g5s2bz6yJKU5QUBCGDh0Kf39/BAQEYN26dYiLi8P48eMBqJug7t69ix9++AGAOtEZNmwYvv76a7Rr105TK2RtbQ1HR0dDfDTjcnMDzMwAhSK/LC5OXU5ERESlUqaanUOHDmHs2LFwc3PD8OHDYW9vj99++03vfjADBw7E8uXLERISgpYtW+LIkSMICwtDvXr1AAAJCQmSOXfWrl0LhUKBDz74AB4eHprXlClTyvKxKg+5vPBMyuykTEREpBO959mpU6cO7t+/j+7du2Pw4MHo3bs3rKysDB1fuavU8+wAQKdOwJEj+dtffQVMnWq0cIiIiCqDCplnZ968eXjrrbdQs2ZNfS9BpcHh50RERGWiU7ITFBSETz/9FLa2tvjvv//w6aefFntsaGhomYMjcPg5ERFRGemU7ERGRiInJ0fzvjilmReHSkm7ZufYMSA1FaiMTW5ERESVUJnXxqrqKn2fnTNngBdflJZ98AGwcqVx4iEiIqoEdPn+1ns0VlxcXLFLRRS3Sjnpwd8f6NpVWrZqFXDypHHiISIiqmL0Tna8vb1xr4gJ7h48eABvb+8yBUUFCAKwejVgbZ1fJorAe++pJxkkIiKiEumd7BS3ZlV6enqVHIJeqfn4ACEh0rJLl4AvvjBOPERERFWIzkPPg4KCAKg7Ic+dOxc2NjaafUqlEv/88w9atmxpsAAp19SpwLZtQMEFV0NCgLfeAho2NFZURERElZ7OyU7eKCxRFHHx4kVYWFho9llYWKBFixaYMWOG4SIkNTMz4LvvgLZt8xcDzcoCxo0DDh5UN3cRERFRIXqPxho5ciS+/vrryjmCSQeVfjSWtqAg9SzKBW3cCIwcaZx4iIiIjECX7+8yDz2PiopCXFwcsrU6y/bp06csl60wVS7ZSU8HfH2lMynXrAn89x9Qq5bx4iIiIqpAFbJcRGxsLPr164eLFy9CEATNMPS8TstKpVLfS1NJ7OzUo7N69swve/QImDZN3aeHiIiIJPQejTV58mR4e3sjKSkJNjY2uHz5Mo4cOQJ/f38cPnzYgCFSIa+/DgwcKC3bvh3Yt8848RAREVVieic7J0+eREhICFxdXSGTySCTyfDSSy9hyZIlmDx5siFjpKIsXw7UqCEte/994MkTY0RDRERUaemd7CiVStjZ2QEAXFxcEB8fDwCoV68eYmJiDBMdFc/dvfA8OzdvAvPnGyMaIiKiSkvvZMfPzw8XLlwAALRt2xbLli3D8ePHERISAh8fH4MFSCUYNQro1ElaFhoKnD1rnHiIiIgqIb2TnTlz5kCVO9/LwoULcevWLXTo0AFhYWFYsWKFwQKkEggCsHYtUGCuI6hU6qUkFArjxUVERFSJGHTV84cPH6JmzZpFLiNRWVW5oedF+fRTYN48admXX6rn5CEiIjJBFbLqeVGcnJyqVKJjMj76CGjaVFo2d666Dw8REVE1p9M8O0E61BSEhobqHAzpycICWLcOeOml/LKMDPXorLAwLiVBRETVmk7JTt66WM/C2h0jaN8eGD8eWLMmv2zfPmDnTmDQIOPFRUREZGQG7bNTFZlEn508KSlAkyZAQkJ+Wa1aQHQ04ORkvLiIiIgMzGh9dsjIHB2BlSulZcnJwMyZxomHiIioEihTsnP06FEMGTIEAQEBuHv3LgBgy5YtOHbsmEGCIz307w/07Sst27AB4BIeRERUTemd7OzevRvdunWDtbU1IiMjkZWVBQBIS0vD4sWLDRYg6UgQ1LU7ubNba4wbB2RmGicmIiIiI9I72Vm4cCHWrFmD7777Dubm5prywMBAnOUMvsZVpw6wZIm07MoVYNEi48RDRERkRHonOzExMejYsWOhcgcHBzx+/LgsMZEhvP8+0LattOyzz4BLl4wTDxERkZHonex4eHjg2rVrhcqPHTvGtbEqA7lcPfeOWYHZBRQK9VISuct8EBERVQd6Jzvjxo3DlClT8M8//0AQBMTHx2Pbtm2YMWMGJkyYYMgYSV/NmwMffigtO3lSvZ4WERFRNVGmeXZmz56Nr776Cpm5HV8tLS0xY8YMfPrppwYLsLyZ1Dw7RXn6VJ30FKyFc3AAoqKA2rWNFxcREVEZ6PL9XeZJBTMyMhAVFQWVSoWmTZvCzs4Od+/eRe0q8kVq8skOAPz1F/DKK9KyAQOA3buNEw8REVEZVeikgjY2NvD398eLL76I9PR0TJo0CQ0aNCjrZcmQunQBRoyQlu3ZA3z9tVHCISIiqkg6JzuPHz/G4MGD4erqCk9PT6xYsQIqlQrz5s2Dj48PTp06hY0bN5ZHrFQWX3wBuLhIy6ZOVY/QIiIiMmE6LQQKAB9//DGOHDmC4cOHY9++fZg2bRr27duHzMxM/PHHH+jUqVN5xEll5ewMrFgBvPuutDw4GHjyBAgJ4eroRERkknSu2fnf//6HTZs24YsvvsCvv/4KURTRqFEj/PXXX0x0Krt33il6YsGFC4Hp04HqvSYsERGZKJ2Tnfj4eDRt2hQA4OPjAysrK4wZM8bggVE5+fhj4KuvCpd/9RUwfjzn4CEiIpOjc7KjUqkky0PI5XLY2toaNCgqZ1Onqicc1G62WrcOGD5cPfkgERGRidC5z44oihgxYgQsLS0BAJmZmRg/fnyhhGfPnj2GiZDKx9ixgI2NOrlRKvPLt24FMjKAHTsACwvjxUdERGQgOic7w4cPl2wPGTLEYMFQBRs8WJ3wDBwI5OTkl+/ZA/Trp56Hx9raaOEREREZQpknFazqqsWkgs+ybx/Qvz+QOxO2xssvA7/+CtjbGyUsIiKi4lTopIJkArp3Vyc8dnbS8sOHga5dAa5iT0REVRiTHVLr1AkIDwdq1JCWnzoFdO4M3LtnlLCIiIjKiskO5WvXDjh0qPBMy+fOqZu04uONERUREVGZMNkhqZYtgSNHAA8PaXlUFNCxI3DrllHCIiIi0heTHSqsSRPg6FGgXj1p+fXrQIcOwNWrxomLiIhID0x2qGjPPadOeBo2lJbfvq1OeC5dMk5cREREOmKyQ8Xz8lI3afn5ScuTktR9eCIijBIWERGRLpjsUMnc3dVD0Nu0kZY/eAB06QKcOGGUsIiIiEqLyQ49m7MzcPAgEBgoLU9NVc/Ds3q1esRWdrZRwiMiIioJZ1DmDMql9+QJ0LevOvEpioUF4OurHtHVqpX61aIFZ2AmIiKD0+X7m8kOkx3dZGYCb74J/O9/pT+nQQN14lMwCXJ3L7cQiYjI9DHZ0QGTHT1kZwNDhgA//6z/Ndzc8hOfvETouecAGVtWiYjo2Zjs6IDJjp6USuCnn4Bdu4DISCA2tuzXtLYGatcG6tSR/iz43t0dkMvLfi8iIqrSmOzogMmOgTx+DJw/r058IiPVHZajogCFwrD3kcvVCU9RiVDBMmtrw96XiIgqFSY7OmCyU44yM4HLl9WJT14SdP68uqNzeXNyAjw981+1a0u3PT3VTWnm5uUfCxERGRyTHR0w2algSqV62YmCNUCRkUBycsXHIgjqhEc7CdJOjBwcAEtL9fFERFQpVOlkZ9WqVfj888+RkJAAX19fLF++HB06dCj2+L///htBQUG4fPkyPD09MXPmTIwfP77U92OyUwmIIpCQoO73c+cOcPdu/s+89/HxQE6OceO0tASsrPJf2tvPehVMmARB+l7757PKBEHdmbvgSy4vXFba/XnXzLtuwe2iyoo7RhTVL5VK/dL3vSiqa90sLPJflpYlb5uZMSElqkZ0+f42q6CYSmXnzp2YOnUqVq1ahfbt22Pt2rXo0aMHoqKiULdu3ULHx8bG4vXXX8fYsWOxdetWHD9+HBMmTICrqyveeOMNI3wC0osg5NeiFEelAu7dKzoRyvt55w6Qnl5+cWZlqV8pKeV3D9KfIEiTn4JJUV7iVDCB0qdMJlP/DWRm5v896LOdlaVO6MzM1Nct+NIu0+UYMzPp+6LKnrW/qMRa3zJA/Tnz5L3X/lmafXkJsVKZ/760r4LnFPe3o09ZSf8YKe3+vPcl/UOkpH/EaO/X/l2U9HsqqbzgZ9Xl91XSMXK5eu41I6hUNTtt27ZF69atsXr1ak1ZkyZN0K9fPyxZsqTQ8R999BF+/fVXREdHa8rGjx+P8+fP4+TJk6W6J2t2TExqqjr5iY9Xvwq+L/gydi0REVF14+ioHsxiIFWyZic7OxsRERGYNWuWpLxr1644Ucz6SydPnkTXrl0lZd26dcOGDRuQk5MD8yI6n2ZlZSErK0uznZqaaoDoqdJwcFC/mjQp/hiVSr22l3YCpJ0YJSUV/y9BIiLSjRHrVipNsnP//n0olUq4ublJyt3c3JCYmFjkOYmJiUUer1AocP/+fXh4eBQ6Z8mSJViwYIHhAqeqRyYDXF3Vr5KqVBUKddNZRoa6GUL7ldc8UdJL+5iiqnxL8167TLuvS1mr+POuXbDPTFHbz9pXVJV6SdXtxb0XBPXzz85WP8PsbPWLNXJEpIdKk+zkEbTaREVRLFT2rOOLKs8THByMoKAgzXZqaiq8vLz0DZdMmZkZUETCTEYkivmJT96rYDJU3HZOTn6yVDBx0n7/rP0qVX5n87wO6nnvtbdL2mdpqU7scnKkL4VCvzKFIr9M+/2z9msfW1TSrf0q7T7tvisF3+u6r2AH+2d1xi+ug752X5S8WIv6O3tWmT7/SHnW+5L+UVLSfu19Jf2eSlP2LCX97krab2Hx7GuXk0qT7Li4uEAulxeqxUlOTi5Ue5PH3d29yOPNzMzg7Oxc5DmWlpawtLQ0TNBEVLEEIT9ZIKLyVTBhreIqzUJEFhYWaNOmDcLDwyXl4eHhCAwMLPKcgICAQscfOHAA/v7+RfbXISIiolIykUQHqETJDgAEBQVh/fr12LhxI6KjozFt2jTExcVp5s0JDg7GsGHDNMePHz8et27dQlBQEKKjo7Fx40Zs2LABM2bMMNZHICIiokqm0jRjAcDAgQPx4MEDhISEICEhAX5+fggLC0O9evUAAAkJCYiLi9Mc7+3tjbCwMEybNg3ffvstPD09sWLFCs6xQ0RERBqVap4dY+A8O0RERFWPLt/flaoZi4iIiMjQmOwQERGRSWOyQ0RERCaNyQ4RERGZNCY7REREZNKY7BAREZFJY7JDREREJo3JDhEREZk0JjtERERk0irVchHGkDeBdGpqqpEjISIiotLK+94uzUIQ1T7ZSUtLAwB4eXkZORIiIiLSVVpaGhwdHUs8ptqvjaVSqRAfHw97e3sIJrScvbbU1FR4eXnh9u3bXAOsgvCZVzw+84rHZ24cfO7qGp20tDR4enpCJiu5V061r9mRyWSoU6eOscOoMA4ODtX2Pwxj4TOveHzmFY/P3Diq+3N/Vo1OHnZQJiIiIpPGZIeIiIhMGpOdasLS0hKffPIJLC0tjR1KtcFnXvH4zCsen7lx8Lnrptp3UCYiIiLTxpodIiIiMmlMdoiIiMikMdkhIiIik8Zkh4iIiEwakx0TtWTJEgiCgKlTp2rKRFHE/Pnz4enpCWtra7z88su4fPmy8YI0EXfv3sWQIUPg7OwMGxsbtGzZEhEREZr9fO6GpVAoMGfOHHh7e8Pa2ho+Pj4ICQmBSqXSHMNnXnZHjhxB79694enpCUEQ8Msvv0j2l+YZZ2VlYdKkSXBxcYGtrS369OmDO3fuVOCnqFpKeuY5OTn46KOP0KxZM9ja2sLT0xPDhg1DfHy85Bp85kVjsmOCzpw5g3Xr1qF58+aS8mXLliE0NBQrV67EmTNn4O7ujtdee02zPhjp7tGjR2jfvj3Mzc3xxx9/ICoqCl9++SVq1KihOYbP3bCWLl2KNWvWYOXKlYiOjsayZcvw+eef45tvvtEcw2dedk+ePEGLFi2wcuXKIveX5hlPnToVe/fuxY8//ohjx44hPT0dvXr1glKprKiPUaWU9MwzMjJw9uxZzJ07F2fPnsWePXtw5coV9OnTR3Icn3kxRDIpaWlpYsOGDcXw8HCxU6dO4pQpU0RRFEWVSiW6u7uLn332mebYzMxM0dHRUVyzZo2Roq36PvroI/Gll14qdj+fu+H17NlTHDVqlKRswIAB4pAhQ0RR5DMvDwDEvXv3arZL84wfP34smpubiz/++KPmmLt374oymUzct29fhcVeVWk/86KcPn1aBCDeunVLFEU+85KwZsfEfPDBB+jZsydeffVVSXlsbCwSExPRtWtXTZmlpSU6deqEEydOVHSYJuPXX3+Fv78/3nrrLdSqVQutWrXCd999p9nP5254L730Eg4ePIgrV64AAM6fP49jx47h9ddfB8BnXhFK84wjIiKQk5MjOcbT0xN+fn78PRhISkoKBEHQ1CTzmRev2i8Eakp+/PFHRERE4N9//y20LzExEQDg5uYmKXdzc8OtW7cqJD5TdOPGDaxevRpBQUH4+OOPcfr0aUyePBmWlpYYNmwYn3s5+Oijj5CSkoLnn38ecrkcSqUSixYtwjvvvAOAf+sVoTTPODExERYWFqhZs2ahY/LOJ/1lZmZi1qxZePfddzULgfKZF4/Jjom4ffs2pkyZggMHDsDKyqrY4wRBkGyLoliojEpPpVLB398fixcvBgC0atUKly9fxurVqzFs2DDNcXzuhrNz505s3boV27dvh6+vL86dO4epU6fC09MTw4cP1xzHZ17+9HnG/D2UXU5ODgYNGgSVSoVVq1Y983g+c3ZQNhkRERFITk5GmzZtYGZmBjMzM/z9999YsWIFzMzMNP8C087uk5OTC/3rjErPw8MDTZs2lZQ1adIEcXFxAAB3d3cAfO6G9OGHH2LWrFkYNGgQmjVrhqFDh2LatGlYsmQJAD7zilCaZ+zu7o7s7Gw8evSo2GNIdzk5OXj77bcRGxuL8PBwTa0OwGdeEiY7JuKVV17BxYsXce7cOc3L398fgwcPxrlz5+Dj4wN3d3eEh4drzsnOzsbff/+NwMBAI0ZetbVv3x4xMTGSsitXrqBevXoAAG9vbz53A8vIyIBMJv1fl1wu1ww95zMvf6V5xm3atIG5ubnkmISEBFy6dIm/Bz3lJTpXr17Fn3/+CWdnZ8l+PvMSGLN3NJWvgqOxRFEUP/vsM9HR0VHcs2ePePHiRfGdd94RPTw8xNTUVOMFWcWdPn1aNDMzExctWiRevXpV3LZtm2hjYyNu3bpVcwyfu2ENHz5crF27tvj777+LsbGx4p49e0QXFxdx5syZmmP4zMsuLS1NjIyMFCMjI0UAYmhoqBgZGakZ+VOaZzx+/HixTp064p9//imePXtW7NKli9iiRQtRoVAY62NVaiU985ycHLFPnz5inTp1xHPnzokJCQmaV1ZWluYafOZFY7JjwrSTHZVKJX7yySeiu7u7aGlpKXbs2FG8ePGi8QI0Eb/99pvo5+cnWlpais8//7y4bt06yX4+d8NKTU0Vp0yZItatW1e0srISfXx8xNmzZ0v+h89nXnaHDh0SARR6DR8+XBTF0j3jp0+fihMnThSdnJxEa2trsVevXmJcXJwRPk3VUNIzj42NLXIfAPHQoUOaa/CZF00QRVGs6NokIiIioorCPjtERERk0pjsEBERkUljskNEREQmjckOERERmTQmO0RERGTSmOwQERGRSWOyQ0RERCaNyQ4RERGZNCY7RGQ0giDgl19+0fv8+fPno2XLlgaLxxBu3rwJQRAgCEKZY8u71rlz50p9zubNmzX3nzp1apnuT2QqmOwQmbi8L77iXiNGjDB2iEUqTdwzZszAwYMHjR1qkf78888yx+bl5YWEhAT4+fmV+pyBAwciISEBAQEBZbo3kSkxM3YARFS+EhISNO937tyJefPmSVZqt7a2lhyfk5MDc3PzCouvOKWJ287ODnZ2dsYI75mcnZ0LrUqtK7lcDnd3d53Osba2hrW1NSwsLMp0byJTwpodIhPn7u6ueTk6OkIQBM12ZmYmatSogZ9++gkvv/wyrKyssHXrVjx48ADvvPMO6tSpAxsbGzRr1gw7duzQXHPt2rWoXbs2VCqV5F59+vTB8OHDNdu//fYb2rRpAysrK/j4+GDBggVQKBRljjuvTLsZa8SIEejXrx8WL14MNzc31KhRQ3PPDz/8EE5OTqhTpw42btwoudfdu3cxcOBA1KxZE87Ozujbty9u3ryp2X/48GG8+OKLsLW1RY0aNdC+fXvcunVLh9+CfrFpN2MdPnwYgiDg4MGD8Pf3h42NDQIDAyVJIBEVxmSHiPDRRx9h8uTJiI6ORrdu3ZCZmYk2bdrg999/x6VLl/Dee+9h6NCh+OeffwAAb731Fu7fv49Dhw5prvHo0SPs378fgwcPBgDs378fQ4YMweTJkxEVFYW1a9di8+bNWLRoUbl+lr/++gvx8fE4cuQIQkNDMX/+fPTq1Qs1a9bEP//8g/Hjx2P8+PG4ffs2ACAjIwOdO3eGnZ0djhw5gmPHjsHOzg7du3dHdnY2FAoF+vXrh06dOuHChQs4efIk3nvvPQiCUO6xFWf27Nn48ssv8e+//8LMzAyjRo3S61kRVRvGXnadiCrOpk2bREdHR812bGysCEBcvnz5M899/fXXxenTp2u2+/TpI44aNUqzvXbtWtHd3V1UKBSiKIpihw4dxMWLF0uusWXLFtHDw0OzDUDcu3evznHn+eSTT8QWLVpotocPHy7Wq1dPVCqVmrLGjRuLHTp00GwrFArR1tZW3LFjhyiKorhhwwaxcePGokql0hyTlZUlWltbi/v37xcfPHggAhAPHz78zDhFMf+ZRkZGSsr1iU37WocOHRIBiH/++afmnP/9738iAPHp06eS+3Xq1EmcMmVKqWImMnWs2SEi+Pv7S7aVSiUWLVqE5s2bw9nZGXZ2djhw4ADi4uI0xwwePBi7d+9GVlYWAGDbtm0YNGgQ5HI5ACAiIgIhISGafjV2dnYYO3YsEhISkJGRUW6fxdfXFzJZ/v/a3Nzc0KxZM822XC6Hs7MzkpOTNXFeu3YN9vb2mjidnJyQmZmJ69evw8nJCSNGjEC3bt3Qu3dvfP3115L+ROUZW3GaN2+uee/h4QEAzzyHqDpjB2Uigq2trWT7yy+/xFdffYXly5ejWbNmsLW1xdSpU5Gdna05pnfv3lCpVPjf//6HF154AUePHkVoaKhmv0qlwoIFCzBgwIBC97Oysiq3z6LduVoQhCLL8vobqVQqtGnTBtu2bSt0LVdXVwDApk2bMHnyZOzbtw87d+7EnDlzEB4ejnbt2pVrbKW5Tl5z2rPOIarOmOwQUSFHjx5F3759MWTIEADqL9KrV6+iSZMmmmOsra0xYMAAbNu2DdeuXUOjRo3Qpk0bzf7WrVsjJiYGDRo0qPD4ddG6dWvs3LkTtWrVgoODQ7HHtWrVCq1atUJwcDACAgKwfft2nZMdIjIONmMRUSENGjRAeHg4Tpw4gejoaIwbNw6JiYmFjhs8eDD+97//YePGjZrEKM+8efPwww8/YP78+bh8+TKio6M1tSKVyeDBg+Hi4oK+ffvi6NGjiI2Nxd9//40pU6bgzp07iI2NRXBwME6ePIlbt27hwIEDuHLliiTxI6LKjckOERUyd+5ctG7dGt26dcPLL78Md3d39OvXr9BxXbp0gZOTE2JiYvDuu+9K9nXr1g2///47wsPD8cILL6Bdu3YIDQ1FvXr1KuhTlI6NjQ2OHDmCunXrYsCAAWjSpAlGjRqFp0+fwsHBATY2Nvjvv//wxhtvoFGjRnjvvfcwceJEjBs3ztihE1EpCaIoisYOgojIVNy8eRPe3t6IjIw06lIWL7/8Mlq2bInly5cbLQaiyoI1O0RE5SAwMBCBgYEVft9t27bBzs4OR48erfB7E1VWrNkhIjIghUKhmX3Z0tISXl5eFXr/tLQ0JCUlAQBq1KgBFxeXCr0/UWXEZIeIiIhMGpuxiIiIyKQx2SEiIiKTxmSHiIiITBqTHSIiIjJpTHaIiIjIpDHZISIiIpPGZIeIiIhMGpMdIiIiMmn/D0egW4I0x98hAAAAAElFTkSuQmCC", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bin_count, bin_position = np.histogram(t.travel_time_df, bins=25)\n", + "travel_time_freq = bin_count / sum(bin_count)\n", + "travel_time_cdf = np.cumsum(travel_time_freq)\n", + "plt.plot(bin_position[1:], travel_time_freq, color=\"red\",\n", + " linewidth=3, label=\"Relative frequency\")\n", + "plt.plot(bin_position[1:], travel_time_cdf,\n", + " label=\"Cumulative empirical distribution\", linewidth=3)\n", + "plt.xlabel('Travel Times [min]')\n", + "plt.ylabel('Relative Frequency and Empirical CDF [$-$]')\n", + "plt.legend();" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Empirical Exceedance CDF')" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(bin_position[1:], 1-travel_time_cdf, label=\"CDF\", linewidth=3)\n", + "plt.yscale('log')\n", + "plt.ylim([1e-4, 1]);\n", + "plt.xlabel('Travel Times [min]')\n", + "plt.ylabel('Empirical Exceedance CDF')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Part 3. Fitting a Burr-Distribution to the Data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It turns out the Burr distribution often is a good fit for traffic flow rate data, and we can obtain the parameters using MLE incorporated in the `scipy.stats` method [`Burr12`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.burr12.html)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The standardized form of the Burr12 distribution (with location, `loc` = 0 and `scale` = 1) is:\n", + "\n", + "$$\n", + "f(x, c, d)=c d \\frac{x^{c-1}}{\\left(1+x^{c}\\right)^{d+1}}\n", + "$$\n", + "\n", + "The distribution has to be shifted and scaled to fit our data, which is done with the location and scale parameters that are returnd by the method in `scipy`. If the Burr distribution as shown in the introductory video is a two-parameter formulation, and if it is used with the location and scale parameters as follows, it is equivalent to the `scipy` formulation (four parameters):\n", + "\n", + "$$\n", + "f_{scipy}(x, c, d, \\mathrm{loc}, \\mathrm{scale}) = f_{video}(\\frac{x-\\mathrm{loc}}{\\mathrm{scale}}, c, d) \\cdot \\mathrm{scale}\n", + "$$\n", + "\n", + "The CDF of the Burr distribution is very easy to evaluate:\n", + "$$\n", + "F(x,c, d, \\mathrm{loc}, \\mathrm{scale})=1−(1+x^c)^{-k}\n", + "$$\n", + "\n", + "*NB:*\n", + "- *In the video the parameters loc and scale are a and b, respectively. c and k are used equivalently.*\n", + "- *You are asked to make a calculation with the CDF below, one of the few things you are required to code on your own in this notebook.*\n", + "- *There are actually twelve Burr distributions (yes, 12!). They were 'invented' in the 1940's to avoid tedious hand calculations easier. The scipy distribution is equation 12 from [Burr's 1942 paper \"Cumulative Frequency Functions,\"](https://doi.org/10.1093%2Fbiomet%2F64.1.129) hence the name*\n", + "\n", + "In `Trajectory`, the distribution is fit during initialization of the class with `fit_burr`, and the parameter values can be printed using `print_parameters_burr`. The example below illustrates the use of `scipy.stats.Burr12` without requiring to dig into the py file." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameters are:\n", + " c = 84.137\n", + " k = 6.421e-02\n", + " loc = 12.00\n", + " scale = 17.49\n" + ] + } + ], + "source": [ + "t.print_parameters_burr()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we will plot the distribution with the histogram to check the fit visually. The PDF is calculated two ways: one using the 4-parameter version provided by `scipy.stats`, the other using the shifted and scaled 2 parameter version. It is clear that the restuls are identical." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkQAAAGzCAYAAADOnwhmAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB4LUlEQVR4nO3dd3hUxf7H8ffuplcgCQlIS+gdJIo0sYIVBBUEaQrXHxaE5GK7NgS8UZRmAUS9cK1gb+ilSRUEgdAVEYEgBEJNIZBkd8/vj8jCpkCy2WRTPq/n2cfM7JxzvnuI7JeZOTMmwzAMRERERKows6cDEBEREfE0JUQiIiJS5SkhEhERkSpPCZGIiIhUeUqIREREpMpTQiQiIiJVnhIiERERqfKUEImIiEiV5+XpACoCu93OoUOHCA4OxmQyeTocERERKQLDMEhPT6d27dqYzRfvA1JCVASHDh2ibt26ng5DREREXHDgwAHq1Klz0TZKiIogODgYyL2hISEhHo5GREREiiItLY26des6vscvRglREZwbJgsJCVFCJCIiUsEUZbqLJlWLiIhIlaeESERERKo8JUQiIiJS5SkhEhERkSpPCZGIiIhUeUqIREREpMpTQiQiIiJVnhIiERERqfKUEImIiEiVp4RIREQqleXLl2MymTh16pSnQ5EKRAmRiIjkM2zYMEwmEyaTCW9vb2JiYhg7diynT58GYN++fY73TSYTwcHBtGzZkocffpjdu3c7nWvu3LlObc+93nnnnVKJvXPnziQnJxMaGloq5y/IH3/8QXBwMNWqVSuza5YnlSEJ1V5mIiJSoJtuuok5c+aQk5PDqlWrGDFiBKdPn2bmzJmONkuWLKFly5ZkZmaybds2pk+fTtu2bfn222+5/vrrHe1CQkLYtWuX0/lLK2Hx8fEhKiqqVM5dkJycHAYMGEC3bt1Ys2ZNmV33QtnZ2fj4+Hjk2u5kGAY2mw0vr7JPT9RDJBe1bx888QRMmwY5OZ6ORqTis9vh6FHPvez2osfq6+tLVFQUdevWZeDAgdx777189dVXTm3CwsKIiooiJiaG3r17s2TJEjp27Mjw4cOx2WyOdiaTiaioKKeXv79/gdctqLdh8+bNmEwm9u3bB8D+/fu5/fbbqV69OoGBgbRs2ZLvv/++wOPnzp1LtWrVWLhwIc2bNycoKIibbrqJ5ORkx/mtViuPPvoo1apVIywsjCeeeIKhQ4dyxx13XPI+PfPMMzRr1ox+/fpdsu25nrV58+bRuXNn/Pz8aNmyJcuXL3e0sdlsDB8+nOjoaPz9/WnatCnTp093Os+wYcO44447SEhIoHbt2jRp0gSADz74gNjYWIKDg4mKimLgwIGkpKTku7cLFy6kffv2+Pv7c91115GSksIPP/xA8+bNCQkJYcCAAWRmZjqOMwyDSZMmERMTg7+/P23btuWzzz5zfKZrr70WgOrVq2MymRg2bNglj8sbT2xsLL6+vqxatYotW7Zw7bXXEhwcTEhICB06dGDDhg2XvL8loR4iKVRWFlxxBRw7llv+80947TXPxiRS0R0/DjVreu76KSkQEeHasf7+/uRc4l9GZrOZ0aNH06dPHzZu3MiVV17p2sUu4eGHHyY7O5uVK1cSGBjIzp07CQoKKrR9ZmYmr776Ku+//z5ms5lBgwYxduxYPvzwQwBefvllPvzwQ+bMmUPz5s2ZPn06X331leOLvjA//vgjn376KZs3b+aLL74ocvyPPfYY06ZNo0WLFkyZMoVevXqxd+9ewsLCsNvt1KlTh08++YTw8HDWrFnDAw88QK1atZySrqVLlxISEsLixYsxDAPI7SmaMGECTZs2JSUlhbi4OIYNG+ZIFs8ZN24cb7zxBgEBAfTr149+/frh6+vLRx99REZGBn369OH111/niSeeAHKTvi+++IKZM2fSuHFjVq5cyaBBg4iIiKBr1658/vnn3HnnnezatYuQkBBHsnux47p37+6I5/HHH+fVV18lJiaGatWq0b17d9q3b8/MmTOxWCxs3rwZb2/vIt9flxhySampqQZgpKamejqUMrV8uWHA+VedOp6OSKTiS0lx/v+qrF8pKUWLc+jQoUbv3r0d5XXr1hlhYWFGv379DMMwjL179xqAkZiYmO/YX3/91QCM+fPnG4ZhGHPmzDEAIzAw0PGKjIws9NrLli0zAOPkyZOOusTERAMw9u7daxiGYbRu3doYN25ckY4/d/0//vjD0ebNN990iiEyMtJ45ZVXHGWr1WrUq1fP6R7kdezYMaNu3brGihUrHNcJDQ0ttL1hnL9vL730kqMuJyfHqFOnjvHyyy8XetxDDz1k3HnnnY7y0KFDjcjISCMrK+ui11u/fr0BGOnp6YZhnL83S5YscbRJSEgwAGPPnj2Ouv/7v/8zevbsaRiGYWRkZBh+fn7GmjVrnM49fPhwY8CAAU7nvfDPrDjHffXVV05tgoODjblz5170sxVFcb6/1UMkhfp77qTDyZOeiUNEPOO7774jKCgIq9VKTk4OvXv35vXXX7/kccbfvRUmk8lRFxwczKZNmxxls7lkMzYeffRRHnzwQRYtWsQNN9zAnXfeSZs2bQptHxAQQMOGDR3lWrVqOYaSUlNTOXLkiFNvlsVioUOHDtgvMsb4j3/8g4EDB3L11VcXO/5OnTo5fvby8iI2NpZff/3VUTdr1izeeecd9u/fz5kzZ8jOzqZdu3ZO52jdunW+eUOJiYmMGzeOzZs3c+LECUf8SUlJtGjRwtHuwnsVGRlJQEAAMTExTnXr168HYOfOnZw9e5Ybb7zR6VrZ2dm0b9++0M9YnONiY2OdyvHx8YwYMYL333+fG264gbvvvtvpz680KCGSwmVmcgvLCCY993U6HXvOaMzeFk9HJiJl4Nprr2XmzJl4e3tTu3btIg9ZnPtij46OdtSZzWYaNWpUpOPPJUvnEisg31DdiBEj6NmzJwsWLGDRokUkJCQwefJkRo0aVeA588ZuMpmczn+u7kJ538/rxx9/5JtvvuHVV191tLfb7Xh5eTF79mzuv//+ix6f17nrf/LJJ8TFxTF58mQ6depEcHAwr7zyCuvWrXNqHxgY6FQ+ffo0PXr0oEePHnzwwQdERESQlJREz549yc7Odmp74f049yRh3ljOJVPn/rtgwQIuu+wyp3a+vr6Ffp7iHJf3s4wbN46BAweyYMECfvjhB55//nnmzZtHnz59Cr1eSSkhkkKZTxxjAbc51aUdHk5I3bJ7lFWksgkLy53H48nrF1VgYGCRk5hz7HY7r732GtHR0RftPbiYiL8nOSUnJ1O9enUgd1J1XnXr1mXkyJGMHDmSp556irfffrvQhOhiQkNDHT0i3bp1A3InNicmJubrlbnQ2rVrnSaOf/3117z88susWbMmXwKQ188//+zoWbJarWzcuJFHHnkEgFWrVtG5c2ceeughR/s9e/Zc8nP89ttvHDt2jJdeeom6desCuGUicosWLfD19SUpKclp3s+FzvVUXXg/inLcxTRp0oQmTZoQFxfHgAEDmDNnjhIi8Ywsn+B8dacPpyshEikBs9n1Sc3l0fHjxzl8+DCZmZls376dadOmsX79ehYsWIDF4lpvcqNGjahbty7jxo1j4sSJ7N69m8mTJzu1GTNmDDfffDNNmjTh5MmT/PjjjzRv3tzlzzFq1CgSEhJo1KgRzZo14/XXX+fkyZP5eo0ulPd6GzZswGw206pVq0te780336Rx48Y0b96cqVOncvLkSUePUqNGjXjvvfdYuHAh0dHRvP/++/zyyy9OPW4FqVevHj4+Prz++uuMHDmS7du3M2HChCJ8+osLDg5m7NixxMXFYbfb6dq1K2lpaaxZs4agoCCGDh1K/fr1MZlMfPfdd9xyyy34+/sX6biCnDlzhscee4y77rqL6Oho/vrrL3755RfuvPPOEn+Wi1FCJIUK27I0X92ZlHQPRCIi5dUNN9wA5M7RqV+/Ptdeey2zZ88uds/Shby9vfn444958MEHadu2LVdccQUTJ07k7rvvdrSx2Ww8/PDD/PXXX4SEhHDTTTcxdepUl6/5xBNPcPjwYYYMGYLFYuGBBx6gZ8+eLid1l/LSSy/x8ssvk5iYSMOGDfn6668JDw8HYOTIkWzevJn+/ftjMpkYMGAADz30ED/88MNFzxkREcHcuXP517/+xWuvvcbll1/Oq6++Sq9evUoc74QJE6hZsyYJCQn8+eefVKtWjcsvv5x//etfAFx22WW88MILPPnkk9x3330MGTKEuXPnXvK4glgsFo4fP86QIUM4cuQI4eHh9O3blxdeeKHEn+NiTMalBkmFtLQ0QkNDSU1NJSQkxNPhlJmfHvqQLjMHOdVt/Xw3bfq6/hediEhFYLfbad68Of369XNLL8s5+/btIzo6+pLDceIexfn+Vg+RFMputTmVN9CBtGpKhkSk8tm/fz+LFi2ie/fuZGVl8cYbb7B3714GDhzo6dCkjGilailcjtWpaMNCukbMRKQSMpvNzJ07lyuuuIIuXbqwbds2lixZUqJ5SVKxqIdICrW/+U28wGK8sGLBRhoh/J8SIhGphOrWrctPP/1U6tdp0KDBJR/nF89QQiSFSguqzVJqO9UNSPNQMCIiIqVIQ2ZSKJstf52GzEREpDJSQiSFslrz1ykhEhGRykhDZlIomw0a8zuN+MOxfUfkr42AazwdmoiIiFspIZJCWa3wIDOJY5qjbtW2+1BCJCIilY2GzKRQNhuk47x9h1emxsxERKTyUUIkhbp89Ws8h/MKrd5nlRCJSPm2fPlyTCYTp06d8nQoUoEoIZJC+Z8+lq/uT5+mHohERMrasGHDMJlMmEwmvL29iYmJYezYsZw+fRrI3YLi3Psmk4ng4GBatmzJww8/zO7du53ONXfuXKe2517vvPNOqcTeuXNnkpOTCQ0t3Y2oly9fTu/evalVqxaBgYG0a9eODz/8sFSvWV5VhiRUc4ikUEae5+4/ZCAvh0+nn4fiEZGyddNNNzFnzhxycnJYtWoVI0aM4PTp08ycOdPRZsmSJbRs2ZLMzEy2bdvG9OnTadu2Ld9++y3XX3+9o11ISAi7du1yOn9pJSw+Pj5ERUWVyrkvtGbNGtq0acMTTzxBZGQkCxYsYMiQIYSEhHD77beX+vUvlJ2djY+PT5leszQYhoHNZsPLq+zTE/UQSeGs2rpDpFQdPer8Kmiti8La5uQU3vbYMee22dkuhefr60tUVBR169Zl4MCB3HvvvXz11VdObcLCwoiKiiImJobevXuzZMkSOnbsyPDhw7Fd8I8qk8lEVFSU08vf37/A6xbU27B582ZMJhP79u0Dcvceu/3226levTqBgYG0bNmS77//vsDj586dS7Vq1Vi4cCHNmzcnKCiIm266ieTkZMf5rVYrjz76KNWqVSMsLIwnnniCoUOHcscddxR6f/71r38xYcIEOnfuTMOGDXn00Ue56aab+PLLLws95lzP2rx58+jcuTN+fn60bNmS5cuXO9rYbDaGDx9OdHQ0/v7+NG3alOnTpzudZ9iwYdxxxx0kJCRQu3ZtmjRpAsAHH3xAbGwswcHBREVFMXDgQFJSUvLd24ULF9K+fXv8/f257rrrSElJ4YcffqB58+aEhIQwYMAAMjMzHccZhsGkSZOIiYnB39+ftm3b8tlnnzk+07XXXgtA9erVMZlMDBs27JLH5Y0nNjYWX19fVq1axZYtW7j22msJDg4mJCSEDh06sGHDhkLvqzuoh0gKtb75MKau74IXVrywkkQ9JUQi7lSzpnN5+3Zo2bLgtg0awAVfUKxfD1dcUXDb5s1zk6Jzli2Da64pSaQA+Pv7k3OxRIzcPcFGjx5Nnz592LhxI1deeWWJr1uQhx9+mOzsbFauXElgYCA7d+4kKCio0PaZmZm8+uqrvP/++5jNZgYNGsTYsWMdQ1wvv/wyH374IXPmzKF58+ZMnz6dr776yvFFX1SpqalF2v/sscceY9q0abRo0YIpU6bQq1cv9u7dS1hYGHa7nTp16vDJJ58QHh7OmjVreOCBB6hVqxb9+p3vo1+6dCkhISEsXrzYsR1IdnY2EyZMoGnTpqSkpBAXF8ewYcMcyeI548aN44033iAgIIB+/frRr18/fH19+eijj8jIyKBPnz68/vrrPPHEEwA888wzfPHFF8ycOZPGjRuzcuVKBg0aREREBF27duXzzz/nzjvvZNeuXYSEhDiS3Ysd1717d0c8jz/+OK+++ioxMTFUq1aN7t270759e2bOnInFYmHz5s14e3sX68+i2Ay5pNTUVAMwUlNTPR1KmXr0UcMA55ePj6ejEqlE8v4Ptn174W0DApzbrl9feNvwcOe2y5YVO7ShQ4cavXv3dpTXrVtnhIWFGf369TMMwzD27t1rAEZiYmK+Y3/99VcDMObPn28YhmHMmTPHAIzAwEDHKzIystBrL1u2zACMkydPOuoSExMNwNi7d69hGIbRunVrY9y4cUU6/tz1//jjD0ebN9980ymGyMhI45VXXnGUrVarUa9ePad7cCmffvqp4ePjY2y/yJ/jufv20ksvOepycnKMOnXqGC+//HKhxz300EPGnXfe6SgPHTrUiIyMNLKysi4a0/r16w3ASE9PNwzj/L1ZsmSJo01CQoIBGHv27HHU/d///Z/Rs2dPwzAMIyMjw/Dz8zPWrFnjdO7hw4cbAwYMcDrvhX9mxTnuq6++cmoTHBxszJ0796KfrSiK8/2tHiIpVEFbd2Rn574qwVC1iFzCd999R1BQEFarlZycHHr37s3rr79+yeOMv3srTCaToy44OJhNmzY5ymZzyWZsPProozz44IMsWrSIG264gTvvvJM2bdoU2j4gIICGDRs6yrVq1XIMJaWmpnLkyBGn3iyLxUKHDh2w2+1Fimf58uUMGzaMt99+m5aF9fJdoFOnTo6fvby8iI2N5ddff3XUzZo1i3feeYf9+/dz5swZsrOzadeundM5WrdunW/eUGJiIuPGjWPz5s2cOHHCEX9SUhItWrRwtLvwXkVGRhIQEEBMTIxT3fr16wHYuXMnZ8+e5cYbb3S6VnZ2Nu3bty/0MxbnuNjYWKdyfHw8I0aM4P333+eGG27g7rvvdvrzKw1KiKRQhU1nSE+HsLCyjUVEyt61117LzJkz8fb2pnbt2kUesjj3xR4dHe2oM5vNNGrUqEjHn0uWjAt2hc87VDdixAh69uzJggULWLRoEQkJCUyePJlRo0YVeM68sZtMpny7zl+YwOW9/sWsWLGC22+/nSlTpjBkyJAiHVOQc9f/5JNPiIuLY/LkyXTq1Ing4GBeeeUV1q1b59Q+MDDQqXz69Gl69OhBjx49+OCDD4iIiCApKYmePXuSnWce2YX349yThHljOZdMnfvvggULuOyyy5za+fr6Fvp5inNc3s8ybtw4Bg4cyIIFC/jhhx94/vnnmTdvHn369Cn0eiWlhEgKZbOBCTudWePYuiOYdDIO3kVYWOk+zipSJVww2RWA6tULb/v3ZGKHatUKb/vrr7mDZee4+DRXYGBgkZOYc+x2O6+99hrR0dEX7T24mIiICACSk5Op/vc92bx5c752devWZeTIkYwcOZKnnnqKt99+u9CE6GJCQ0MdPSLdunUDcic2JyYm5uuVyWv58uXcdtttvPzyyzzwwANFvubPP//M1VdfDeRO6N64cSOPPPIIAKtWraJz58489NBDjvZ79uy55Dl/++03jh07xksvvUTdunUB3DIRuUWLFvj6+pKUlOQ07+dC53qqLpxIX5TjLqZJkyY0adKEuLg4BgwYwJw5c5QQiWec6yFaTTen+t93XwltWnsgIpFK5u8vfre3DQ8vfiwuOn78OIcPHyYzM5Pt27czbdo01q9fz4IFC7BYLC6ds1GjRtStW5dx48YxceJEdu/ezeTJk53ajBkzhptvvpkmTZpw8uRJfvzxxyJNZi7MqFGjSEhIoFGjRjRr1ozXX3+dkydP5us1utDy5cu59dZbGT16NHfeeSeHDx8GcpODGjVqXPR6b775Jo0bN6Z58+ZMnTqVkydPcv/99zs+/3vvvcfChQuJjo7m/fff55dffnHqcStIvXr18PHx4fXXX2fkyJFs376dCRMmXPSYoggODmbs2LHExcVht9vp2rUraWlprFmzhqCgIIYOHUr9+vUxmUx899133HLLLfj7+xfpuIKcOXOGxx57jLvuuovo6Gj++usvfvnlF+68884Sf5aL0WP3UiibDQzMpOP85EbWMT1qJiK5brjhBmrVqkXr1q158sknad68OVu3bi3201kX8vb25uOPP+a3336jbdu2vPzyy0ycONGpjc1m4+GHH6Z58+bcdNNNNG3alBkzZrh8zSeeeIIBAwYwZMgQOnXqRFBQED179sTPz6/QY+bOnUtmZiYJCQnUqlXL8erbt+8lr/fSSy/x8ssv07ZtW1atWsXXX39N+N+J7MiRI+nbty/9+/enY8eOHD9+3Km3qDARERHMnTuXTz/9lBYtWvDSSy/x6quvFv0mXMSECRN47rnnSEhIoHnz5vTs2ZNvv/3WkaRddtllvPDCCzz55JNERkY6ersudVxBLBYLx48fZ8iQITRp0oR+/fpx880388ILL7jlsxTGZBR1kLQKS0tLIzQ0lNTUVEJCQjwdTpn5tvnj1P/tf7Rhm1P9hon/I/bpnh6KSkSk9Nntdpo3b06/fv3c0styzr59+4iOji7ScJyUXHG+vzVkJoUKy9ifLxlazxVkWgv/F5OISEW0f/9+Fi1aRPfu3cnKyuKNN95g7969DBw40NOhSRnRkJkUymx3fszsecbRkfXsrVf8yXEiIuWZ2Wxm7ty5XHHFFXTp0oVt27axZMmSEs1LkopFPURSKFOehMj696+LVqsWkcqmbt26/PTTT6V+nQYNGhT5cX4pW0qIpFBfRI9l+uH+WLDhhZVNXA4oIRIRkcpHCZEUaktINxYWUK+ESEREKhvNIZJCFbR1ByghEhGRykcJkRTqYlt3iIiIVCYaMpNCneshqskRGvGHY+uOBn/WAK73aGwiIiLupIRICnWuh2gAHzONOEf9pp3XoYRIREQqEw2ZSaHO9RClE+xU75utMTMREalcitVD9M033xT7AjfeeCP+/v7FPk4879k/hhDGbjrxs1O9X44SIhERqVyKlRDdcccdxTq5yWRi9+7dxMTEFOs4KR8aZW6lGVuc6n6jKQdNMTT0UEwiIiKlodhziA4fPkzNmjWL1DY4OPjSjaTcshjOj5ndw8fM5x5CfCHVQzGJiIiUhmLNIRo6dGixhr8GDRpUpXaHr2zyJkTntu7IyACtPC8iIpWJydCmKpeUlpZGaGgoqampVSrBe6TW52QdPuHYuuN/3MQeGgG5SVFgoIcDFBERuYjifH/rsXsp1AK/O9lXyHvp6UqIRESk8nDLY/ebNm0iOzvbHaeScqSwrTtAq1WLiEjl4paE6IorrmDfvn3uOJWUI4Vt3QFKiEREpHJxy5CZpiFVThf2EDXlN6pz0rF9x9l9XeDyKM8FJyIi4kaaQySFurCHaCE9qU+So7x+87fQ9zYPRCUiIuJ+5W7rjhkzZhAdHY2fnx8dOnRg1apVhbb94osvuPHGG4mIiCAkJIROnTqxcOHCfO0+//xzWrRoga+vLy1atODLL78szY9QaVyYEOXdvsN6UmNmIiJSeZSrhGj+/PmMGTOGp59+msTERLp168bNN99MUlJSge1XrlzJjTfeyPfff8/GjRu59tpruf3220lMTHS0Wbt2Lf3792fw4MFs2bKFwYMH069fP9atW1dWH6vC+uT0LSziRn7gJlqxw+k9JUQiIlKZuGUdIrPZzG+//UaTJk1KdJ6OHTty+eWXM3PmTEdd8+bNueOOO0hISCjSOVq2bEn//v157rnnAOjfvz9paWn88MMPjjY33XQT1atX5+OPPy7SOavqOkRnTP74c9apLpko0gnmjwHPcstHgz0UmYiIyKUV5/u73PQQZWdns3HjRnr06OFU36NHD9asWVOkc9jtdtLT06lRo4ajbu3atfnO2bNnz4ueMysri7S0NKdXVeSF82Nm7UikNsk05XfWN1EyJCIilUe5SYiOHTuGzWYjMjLSqT4yMpLDhw8X6RyTJ0/m9OnT9OvXz1F3+PDhYp8zISGB0NBQx6tu3brF+CSVhwXnhYhsWBw/67F7ERGpTNzylNnzzz9PeHi4O06FyWRyKhuGka+uIB9//DHjxo3j66+/zrf5bHHP+dRTTxEfH+8op6WlVbmkyG4zeJTXHNt2WLBxmPOP2SshEhGRysRtCVFJhYeHY7FY8vXcpKSk5OvhyWv+/PkMHz6cTz/9lBtuuMHpvaioqGKf09fXF19f32J+gsrFajPxJo8U+r4SIhERqUyKNWS2detW7HZ7kdvv2LED68WWO76Aj48PHTp0YPHixU71ixcvpnPnzoUe9/HHHzNs2DA++ugjbr311nzvd+rUKd85Fy1adNFzysW37QAlRCIiUrkUq4eoffv2HD58mIiIiCK179SpE5s3byYmJqZI7ePj4xk8eDCxsbF06tSJ2bNnk5SUxMiRI4HcoayDBw/y3nvvAbnJ0JAhQ5g+fTpXXXWVoyfI39+f0NBQAEaPHs3VV1/Nyy+/TO/evfn6669ZsmQJq1evLs5Hr3IulccqIRIRkcqkWAmRYRg8++yzBAQEFKl9cTd87d+/P8ePH2f8+PEkJyfTqlUrvv/+e+rXrw9AcnKy05pEb731FlarlYcffpiHH37YUT906FDmzp0LQOfOnZk3bx7PPPMMzz77LA0bNmT+/Pl07NixWLFVNXkTokAyqM9+x9YdMYcswHUeiU1ERMTdirUO0TXXXFOkCc4X+uijj6hVq1axAytPquI6RMeOwYUdgXfwJV/S11He792Q+tl/eCAyERGRoinO93exeoiWL19ekrikAsnbQ5R3644Am8bMRESk8tDmrlIg49hxvmMIVryw4kUHNjq9H2hXQiQiIpWHEiIpkC3tNLfyfb760wSQTjBphBCTbcfLp9ys7SkiIuIyJURSIHt2/sfMgkkj44Khs5OZUM2nLKMSEREpHfrnvRTIlp1/IaKz+DmV9ei9iIhUFuohkgLlBNfgCV5ybNvhhdVpLzNQQiQiIpVHiRKis2fPsnXrVlJSUvKtYN2rV68SBSaelRUUxiSecJRNJvDzgzNnzrdRQiQiIpWFywnR//73P4YMGcKxY8fyvWcymbBdau8HKdfyPnZvsUBwsBIiERGpnFyeQ/TII49w9913k5ycjN1ud3opGar48v4RennlJkQXUkIkIiKVhcs9RCkpKcTHx19yJ3qpmPL2EHl5QQO/w/hwwrF9h31fE6CeR+ITERFxJ5d7iO666y6tXF2J5e0hslhg8oF+7KQl67iKJdxI+NpvPROciIiIm7ncQ/TGG29w9913s2rVKlq3bo23t7fT+48++miJgxPPKaiHKNvsPGZmpGnMTEREKgeXE6KPPvqIhQsX4u/vz/Lly502fTWZTEqIKji/3duYx0RsWLBh4WxmDXLCNYlIREQqJ5cTomeeeYbx48fz5JNPYjZrfcfKxutoMv35xFE+nFWL3wNuA+AMfqQRQqZVy1SLiEjl4HImk52dTf/+/ZUMVVL2HOdJRDaTFwt6TMeLHAI4QxRH+LTF8x6KTkRExL1czmaGDh3K/Pnz3RmLlCN2a/6EyK+6P7YLOhU1YiYiIpWFy0NmNpuNSZMmsXDhQtq0aZNvUvWUKVNKHJx4TnrNRoznWce2HZaQalqHSEREKi2XE6Jt27bRvn17ALZv3+703oUTrKViOhXVjOcZ7yg3qwljlBCJiEgl5XJCtGzZMnfGIeVMYVt3XEgJkYiIVBaaES0F0tYdIiJSlZRot3uAnTt3kpSURHZ2tlO9druv2ApamDHEP4fapDi27og8cQa42iPxiYiIuJPLCdGff/5Jnz592LZtGyaTCcMwgPPzh7TBa8VW0NYdNQ9v5SCxjrrsdG/AOREWERGpiFweMhs9ejTR0dEcOXKEgIAAduzYwcqVK4mNjdUeZ5VAQT1EfhHOY2Y+5JCVllWGUYmIiJQOl3uI1q5dy48//khERARmsxmz2UzXrl1JSEjg0UcfJTEx0Z1xShmL2rGUd/kQGxaseGE93JSAyP752mUcSsM3JMIDEYqIiLhPidYhCgoKAiA8PJxDhw7RtGlT6tevz65du9wWoHhG6MGd9GKOo5x44hoCo0Y4ymfxJZ1gzhw7Q5gnAhQREXEjlxOiVq1asXXrVmJiYujYsSOTJk3Cx8eH2bNnExMT484YxRPyTCKym70IrBlIGMdJIxgruQtxbgmBep6IT0RExI1KtLnr6dOnAZg4cSK33XYb3bp1IywsTFt6VAJGjvMkIsNswWQ2YQ2pgTXtfL0evRcRkcrA5YSoZ8+ejp9jYmLYuXMnJ06coHr16lqpuhI4VKsDk4k/v3VHZHNiyV2LKO2ChOjCn0VERCoqlxKinJwcevTowVtvvUWTJk0c9TVq1HBbYOJZextcyzNc6yj3bgQPosUZRUSkcnLpsXtvb2+2b9+unqBKrKDH7kEJkYiIVE4ur0M0ZMgQ3n33XXfGIuVIQQszghIiERGpnFyeQ5Sdnc0777zD4sWLiY2NJTAw0On9KVOmlDg48ZzCeojCAs8SySlCSCOUVMz7w4HoMo9PRETEnVxOiLZv387ll18OwO+//+62gKR8KKyHaNTOkXzCfx31K1bFA5PLLjAREZFS4HJCtGzZMnfGIeVMYT1EtqBQp3pThh4zExGRis/lhCg+Pr7AepPJhJ+fH40aNaJ379568qyCavXbp7zOCqx4YcNCQFJn4E4IDnFq53061TMBioiIuJHLCVFiYiKbNm3CZrPRtGlTDMNg9+7dWCwWmjVrxowZM/jnP//J6tWradGihTtjljIQc2AF3XnTUV6ZnAncCaHne4jO4ku2VU8aiohIxefyU2a9e/fmhhtu4NChQ2zcuJFNmzZx8OBBbrzxRgYMGMDBgwe5+uqriYuLc2e8UlbyTCIy/p5EtPfGB4ggBV/O4s9ZnmygVclFRKTiczkheuWVV5gwYQIhIeeHUEJCQhg3bhyTJk0iICCA5557jo0bN7olUClbJlueSUR/J0QBUSEcI4JsfAFI1YiZiIhUAi4PmaWmppKSkpJvOOzo0aOk/b2fQ7Vq1cjOzi5ZhOIRv9Xszs5dFsfWHT61OwIQ4jyFSFt3iIhIpeByQtS7d2/uv/9+Jk+ezBVXXIHJZGL9+vWMHTuWO+64A4D169c7be0hFcfqBoN4f9UgR/nxVnAvTlOIAPUQiYhI5eByQvTWW28RFxfHPffcg/XvZ7S9vLwYOnQoU6dOBaBZs2a888477olUylRhj93nTYgyMnKnG51bp0hERKQicjkhCgoK4u2332bq1Kn8+eefGIZBw4YNCQoKcrRp166dO2IUDyhsYca8Q2aQu31HtWqlHpKIiEipcTkhOicoKIg2bdq4IxYpRwrtIQox8OOsY+uOENJIO9KSatX8yz5IERERNylRQnTq1Cneffddfv31V0wmE82bN2f48OGE5h1XkQqnsB6ioECD0wRixnC89/u2LdBUSbGIiFRcLj92v2HDBho2bMjUqVM5ceIEx44dY+rUqTRs2JBNmza5M0bxgMJ6iMxeZtJx3vL+bIoeNRMRkYrN5R6iuLg4evXqxdtvv43X39+WVquVESNGMGbMGFauXOm2IKXs3bDvHbryBzYsWPGizoGbgE4AZFhCCbWdT4KyUvSomYiIVGwuJ0QbNmxwSoYg9ymzxx9/nNjYWLcEJ57TLfkTOrDYUV5xsDrnEqJMrxD4e0gtCx/OnjrrgQhFRETcx+Uhs5CQEJKSkvLVHzhwgODg4AKOkIrEZC94pWqAx1r9j5ocwZez+JHFjmZ3lnF0IiIi7uVyQtS/f3+GDx/O/PnzOXDgAH/99Rfz5s1jxIgRDBgwwJ0xigdY8iREJu/zPYHZNetwlJravkNERCoNl4fMXn31VUwmE0OGDHEszOjt7c2DDz7ISy+95LYApew8+OCDbNu2DYAbz17OFhrghRULNr5fsZF/de0KwK5d44AbHMe98cZ7fPvtbABat27NzJkzyzp0ERGREnE5ITp8+DBTp04lISGBPXv2YBgGjRo1wt/fnwMHDlCvXj13xillYNu2baz5ZRM+EdGsMUZgcP5Req8zz2DZtxaAnMwTTscdOunFUeMk2Uf3lmm8IiIi7uJyQhQdHU1ycjI1a9akdevWjvrjx48THR2NLe9CNlIh+EREEzVoEslz65N95Hx9aJe7CGqVO6n65LJmpK0//55/g6sJvy2Uwx88XsbRioiIuIfLc4gMwyiwPiMjAz8/P5cDkvIh3x+v6XyF2dd5fpE9q8QLnouIiHhUsb/J4uPjATCZTDz33HMEBAQ43rPZbKxbt057mFUGdudc2WQ+nxCZfK34ctaxdYdfxnHSyzo+ERERNyp2QpSYmAjk9hBt27YNHx8fx3s+Pj60bduWsWPHui9C8QjDbnKuuKCHqP/Rr5jJM45y4rE29OHfZRWaiIiI2xU7IVq2bBkA9913H9OnTyekoO3PpeIznBOiC3uITucZEg2xq39IREQqNpcnf8yZM8edcUg5M+rMmwRxFite2LCwLLMJKeT2Bp4OcE6IQu3ay0xERCo2lxOiM2fOYBiGYw7R/v37+fLLL2nevDk9e/Z0W4DiGWOyXqcefznKAzKmkkJjADICfZ3a+nEWw17wJHsREZGKwOWnzHr37s17770HwKlTp+jYsSOTJ0/mjjvu0MJ8lYAXzk+S2Sznf1V216xLY34nksP4cYZgMjBslrynEBERqTBcTog2bdpEt27dAPjss8+IjIxk//79vPfee7z22mtuC1A8w2LYncoXJkQ5gWb+oDEpRJJF7vCZkeVdpvGJiIi4k8tDZpmZmY5NXBctWkTfvn0xm81cddVV7N+/320BimcssNxCNVsqFmx4YeWEX6jjPbOPNV97rUUkIiIVmcvfYo0aNeKrr76iT58+LFy4kLi4OABSUlL05FklMMJrNobtfK9PZI01+HESAJOXHSw2uGCYzJ6thEhERCoul4fMnnvuOcaOHUuDBg248sor6dQpd1uHRYsW0b59e7cFKB5iL/yxe9Bq1SIiUrm4/C1211130bVrV5KTk51Wpr7++uvp27evO2ITTzIKX5gRwOybgz3z/NNmds0hEhGRCqxYPUTx8fGcPn3a8fOkSZN4//33+ec//0l8fDzx8fHMmzePt956y+WAZsyYQXR0NH5+fnTo0IFVq1YV2jY5OZmBAwfStGlTzGYzY8aMyddm7ty5mEymfK+zZ8+6HGNVkHel6oJ6iHzIIoIUGrGbaukZZRmeiIiIWxWrhygxMZGcnBzHz4UxmUyFvncx8+fPZ8yYMcyYMYMuXbrw1ltvcfPNN7Nz507q1auXr31WVhYRERE8/fTTTJ06tdDzhoSEsGvXLqc6bUB7CXn2MiNPQvTdqT7cyHJH+V9JTzClDMISEREpDcVKiM5t25H3Z3eZMmUKw4cPZ8SIEQBMmzaNhQsXMnPmTBISEvK1b9CgAdOnTwfgP//5T6HnNZlMREVFuT3eyirfTveAKc+Q2RmLc0IZfDazNEMSEREpVeVmJmx2djYbN27kySefdKrv0aMHa9asKdG5MzIyqF+/PjabjXbt2jFhwoSLTvzOysoiKyvLUU5Lq1pbU5itdh5jEjYsjq07lubU58wFI6xp3kFOxwRlZ5aj3yYREZHiKdFX2NKlS1m6dCkpKSnY7c4L+V2sx6Ygx44dw2azERkZ6VQfGRnJ4cOHXY6xWbNmzJ07l9atW5OWlsb06dPp0qULW7ZsoXHjxgUek5CQwAsvvODyNSs6rxwbk3jCqa5TzvucobqjnO6TJyHKUUIkIiIVl8uP3b/wwgv06NGDpUuXcuzYMU6ePOn0clXe+UeGYbg8JwngqquuYtCgQbRt25Zu3brxySef0KRJE15//fVCj3nqqadITU11vA4cOODy9SsiL5s9X53d4vyr8lrd+2nCLsf2HY+Ev1pW4YmIiLidy/+mnzVrFnPnzmXw4MFuCSQ8PByLxZKvNyglJSVfr1FJmM1mrrjiCnbv3l1oG19fX3x9fQt9v7KzFLBRq83snBAdDg7nFE0cZb9sPXYvIiIVl8sJUXZ2Np07d3ZbID4+PnTo0IHFixfTp08fR/3ixYvp3bu3265jGAabN2+mdevWbjtnZWMzzCzgFse2HV5YyfJ2TnjMvjlOZXuWFyaX+xtFREQ8y+WEaMSIEXz00Uc8++yzbgsmPj6ewYMHExsbS6dOnZg9ezZJSUmMHDkSyB3KOnjwIO+9957jmM2bNwO5E6ePHj3K5s2b8fHxoUWLFkDu0N5VV11F48aNSUtL47XXXmPz5s28+eabbou7ssnwDuI2FjjV1QlYhIXzSVD+laq9sfiXSXgiIiJuV6yEKD4+3vGz3W5n9uzZLFmyhDZt2uCdpwdhypTir0rTv39/jh8/zvjx40lOTqZVq1Z8//331K9fH8hdiDEpKcnpmAufFtu4cSMfffQR9evXZ9++fQCcOnWKBx54gMOHDxMaGkr79u1ZuXIlV155ZbHjqyryLsoIl966w8j2AiVEIiJSQRV7YcYLnduyY/v27U71JZkE/dBDD/HQQw8V+N7cuXPz1RkFLZpzgalTp1500UYpQN5FGaHArTucDtFeZiIiUoG5vDCjVF4F5ph5eohMf/cQ+ZBFCGmE5qTyVwE9SyIiIhWB/lkv+RXQQ5R3yKxWzmH+xA8/zi9gGWmPLfXQRERESoOeC5L8CurpyZMQnQn0ckqGAEJsVXepAhERqdjUQyT5VD+Tyh286di6IwcvVpginNpkBvlgx4SZ84lSiN0HyC7jaEVEREpOCZHkUyv9GG/yiKOcgxeN+cq5kdlMOsGEcn6ftxCbNzlKiEREpALSkJnkY8mzdYcNS4Htrg1cSBN2EUUy/mSy2hxTFuGJiIi4ncvrEF2KK+sQSflgzrNRr7WQX5Pt/i3IOR3iKHsRXKpxiYiIlJYSrUO0ceNGbDYbTZs2BeD333/HYrHQoUMH90UoZS7TEsByuuOFFQs2zpoKniydd3FG7EFlEJ2IiIj7ubwO0ZQpUwgODua///0v1atXB+DkyZPcd999dOvWzb1RSpn6LaQh17LcUTb7ZlOXxfna5Vut2lAPkYiIVEwuzyGaPHkyCQkJjmQIoHr16kycOJHJkye7JTjxDMPI89i9ueDVwE15VqvGHlhKEYmIiJQulxOitLQ0jhw5kq8+JSWF9PT0EgUlHpZnHaK8izKeox4iERGpLFxOiPr06cN9993HZ599xl9//cVff/3FZ599xvDhw+nbt687Y5SylndhRtPFEyJvsgnnKBE2a4HtREREyjuXE6JZs2Zx6623MmjQIOrXr0/9+vW59957ufnmm5kxY4Y7Y5QylnfIrLAeooePvkMm/mTjy1Fq8nb2zLIIT0RExO1cXpgxICCAGTNm8Morr7Bnzx4Mw6BRo0YEBmoeSYWXt4eokITI6m3Cn7OOcohxFggoxcBERERKR4lXqg4MDKRNmzbuiEXKibrph7iVOVjxwoaF1Bx/duCTr12Gn79TOdQ4gxIiERGpiEqUEC1dupSlS5eSkpKCPc9ifv/5z39KFJh4zuUnd/I2TznKO84051Zeydcuw985+QnhNBBW2uGJiIi4ncsJ0QsvvMD48eOJjY2lVq1amEwF7JAuFVK+lapNBW/dse6yVlzJOlIJJZVQ0rBzOf3KIkQRERG3cjkhmjVrFnPnzmXw4MHujEfKAYvd5lQubC+z9OAAfufKC2qsGAVPNxIRESnXXE6IsrOz6dy5sztjkXLilFc1fiEWCza8sLLHK7rAdiafvI/Ze2G3F7zNh4iISHnm8mP3I0aM4KOPPnJnLFJOLAzvzpX8Qgc20ZatDK5R8Hwwc96VqgGbTfuZiYhIxeNyD9HZs2eZPXs2S5YsoU2bNnh7ezu9r93uK7B8W3fYC2yWb3NXwGrVsgsiIlLxuJwQbd26lXbt2gGwfft2p/c0wbpiM+x5Og4L28vMYmDysmFYz88xstmUEImISMXjckJ04c73Usnk6RAyFbJ1B+Ru8GpYLXiTTQhpeOVoDpGIiFQ8Ls8hksqrqD1EAKuzuju27zhGBF1SD5dydCIiIu5X4pWqd+7cSVJSEtnZ2U71vXr1KumpxVPy5D+F7WUG4EO20/YdgVY9dy8iIhWPywnRn3/+SZ8+fdi2bRsmkwnj7wVozs0fstlsFztcyrFm6Xuow3ZsWLDixfFsXw4W0jbNKxgumFvtn6OESEREKh6Xh8xGjx5NdHQ0R44cISAggB07drBy5UpiY2NZvny5G0OUstbr2EI+pR9fcCff0JvHTr5WaNs0L+fH7IOUCIuISAXkckK0du1axo8fT0REBGazGbPZTNeuXUlISODRRx91Z4xSxix2516ewrbuAJgYFc+VrKMZv1KLQ7wReGdphyciIuJ2Lg+Z2Ww2goJyewfCw8M5dOgQTZs2pX79+uzatcttAUrZy7uXmd1UeN68K7Qh6ZxfybqmrUapxSUiIlJaXE6IWrVqxdatW4mJiaFjx45MmjQJHx8fZs+eTUxMjDtjlDJ2zKsGO2iBF1a8sHLEO6LQtnkXZ9Q6RCIiUhG5nBA988wznD59GoCJEydy22230a1bN8LCwpg/f77bApSyNyPyfl5OmugoB9Y6QDhbC2ybd/sOJUQiIlIRuZwQ9ezZ0/FzTEwMO3fu5MSJE1SvXl0rVVd0duc/v4s9dm/K00NktWovMxERqXhKvA7RhWrU0PyRSiHfXmaFJ0Rmn7xDZgGlEZGIiEip0krVko9RjB6iC4fMvMghOCen0LYiIiLllRIiyS9PQsRF9jJrffpXkoniNAHk4MOf1nalG5uIiEgpUEIk+RjFGDLL8TcTxRECOANAIJlkZ2QX2l5ERKQ8cjkhGjZsGCtXrnRnLFJOtD29nVtYQA8Wch1LicneV2jbk9X989Wd+P1YKUYnIiLifi4nROnp6fTo0YPGjRvz73//m4MHC9vtSiqa0cfeYgG3sZCbWMoNDD76aaFt06r7Ycvza5T6+5HSDlFERMStXE6IPv/8cw4ePMgjjzzCp59+SoMGDbj55pv57LPPyNHE2grNbDivVG0zF751B2YzfXw/pQuraczvhHKK/dXblW6AIiIiblaiOURhYWGMHj2axMRE1q9fT6NGjRg8eDC1a9cmLi6O3bt3uytOKUNehvMGrbaLbN0B8L+QG1hDF/6gMWmEknJU61CJiEjF4pZJ1cnJySxatIhFixZhsVi45ZZb2LFjBy1atGDq1KnuuISUoePmGuynHgepzWEiyfC6+NpClgDnSdQpKaUZnYiIiPu5vDBjTk4O33zzDXPmzGHRokW0adOGuLg47r33XoKDgwGYN28eDz74IHFxcW4LWErfqIhXOZMW6ShXq/crofxZaHtzQJZTWQmRiIhUNC4nRLVq1cJutzNgwADWr19Pu3bt8rXp2bMn1apVK0F44gl5F2bkEiNg6iESEZGKzuWEaOrUqdx99934+fkV2qZ69ers3bvX1UuIp+RbqdpeSMNclkD1EImISMXm8hyi7t274+vrm6/eMAySkpJKFJR4Vv6FGS/e3nxBD1EAp7H/dagUohIRESk9LidE0dHRHD16NF/9iRMniI6OLlFQ4mHF7CHqenotfxJNBoGcJojZ2zuXZnQiIiJu5/KQmWEYmEz5J5dkZGRcdBhNKgB7njz5InuZAdgCIJp9jnINWwqG3cBk1uP3IiJSMRQ7IYqPjwfAZDLx7LPPEhBw/pFsm83GunXrCpxgLRVH+6xEfDFjxQsbFk7knCXrIu1PVA90KgdwhoyU0wRFBZVuoCIiIm5S7IQoMTERyO0h2rZtGz4+Po73fHx8aNu2LWPHjnVfhFLm3kj9Jx3Y7Cg/fOwFFtCh0PYna+Rfp+jEbylKiEREpMIodkK0bNkyAO677z6mT59OSEiI24MSz/LC6lS2my8+1Swz0Ic+5s85Yo8ihZqkUJNFvsHUK80gRURE3MjlOURz5sxxZxxSjuTdusNqucheZoDJbOLboJuwpZ3vKUrJP99eRESk3CpWQhQfH8+ECRMIDAx0zCUqzJQpU0oUmHjOSVM1jhGGBRteWMk2e1/yGEtAtnNCpLWIRESkAilWQpSYmOjYyf7cXKKCFPT0mVQc1wYvxnry/ETpiDobCODIRY/RatUiIlKRFSshOjd/KO/PUsnk3brDfPHH7kH7mYmISMXm8sKMZ86cITMz01Hev38/06ZNY9GiRW4JTDwn715mpkusQwRgCVQPkYiIVFwuJ0S9e/fmvffeA+DUqVNceeWVTJ48md69ezNz5ky3BSgekG/rjiIkRBf0EAWSQc6Bw+6OSkREpNS4nBBt2rSJbt26AfDZZ58RFRXF/v37ee+993jttdfcFqCUvXy73RchIeqRsdSxfUcGwby4oUcpRSciIuJ+Lj92n5mZSXBwMACLFi2ib9++mM1mrrrqKvbv3++2AMUDXBgyM/zsTtt3VMvWmJmIiFQcLvcQNWrUiK+++ooDBw6wcOFCevTI7RFISUnRYo0VXAfbRmL5hXYk0opt+NvPXPKYk9WcV6UOsx/Fbr34prAiIiLlhcsJ0XPPPcfYsWNp0KABHTt2pFOnTkBub1H79u3dFqCUvaU5PfiFK0nkcrbRhhandl/ymLz7mVmwc3LPidIKUURExK1cHjK766676Nq1K8nJybRt29ZRf/3119OnTx+3BCeekXfrDtslVqoGOBkWQG++cmzdkUJN1lmDCCutIEVERNzI5YQIICoqiqioKKe6K6+8skQBiedZcN66w2659EKbNh8L35i6ghHqqEs5Ci3cHp2IiIj7lSghWrp0KUuXLiUlJQW73Xm+yH/+858SBSaecxY/bFgcW3fYLEUbWTVZTmBYzydER7WfmYiIVBAuJ0QvvPAC48ePJzY2llq1amm7jkrCMEyEkuZUVztsBd5kXPpg8wkg2lHU4owiIlJRuDypetasWcydO5d169bx1Vdf8eWXXzq9XDVjxgyio6Px8/OjQ4cOrFq1qtC2ycnJDBw4kKZNm2I2mxkzZkyB7T7//HNatGiBr68vLVq0KFF8lV8B84WKsA4RgMnsPIlaCZGIiFQULidE2dnZdO7c2Z2xMH/+fMaMGcPTTz9NYmIi3bp14+abbyYpKanA9llZWURERPD00087Tey+0Nq1a+nfvz+DBw9my5YtDB48mH79+rFu3Tq3xl55FJQQFfHxectxp6ISIhERqShcTohGjBjBRx995M5YmDJlCsOHD2fEiBE0b96cadOmUbdu3UK3AmnQoAHTp09nyJAhhIaGFthm2rRp3HjjjTz11FM0a9aMp556iuuvv55p06a5NfZKw8ifEBV1NPR8D5FBIBmcTVJGJCIiFYPLc4jOnj3L7NmzWbJkCW3atMHb29vp/SlTphTrfNnZ2WzcuJEnn3zSqb5Hjx6sWbPG1TBZu3YtcXFxTnU9e/a8aEKUlZVFVtb5vbnS0tIKbVv5uN5DdLd1BQlMoiYpBHCGLau7AoUPeYqIiJQXLidEW7dupV27dgBs377d6T1XJlgfO3YMm81GZGSkU31kZCSHD7u+Uejhw4eLfc6EhAReeOEFl69ZoZWgh8iwZNCA89u2hJxRD5GIiFQMLidEy5Ytc2ccDnmTKcMwSvwEW3HP+dRTTxEfH+8op6WlUbdu3RLFUFF4GSaashUrXljxwoYFKzlFOvaoxXlBx+pWJUQiIlIxuDyHCGDVqlUMGjSIzp07c/DgQQDef/99Vq9eXexzhYeHY7FY8vXcpKSk5OvhKY6oqKhin9PX15eQkBCnV1URYbezlbbspCW/05Q9NCLYllmkY49aspzK1YxTZKdnFdJaRESk/HA5Ifr888/p2bMn/v7+bNq0yTHnJj09nX//+9/FPp+Pjw8dOnRg8eLFTvWLFy8u0dNsnTp1ynfORYsWuf0JucrCy8j/K2EzF62HLsn7DL35iqtYSwx7CCKdo6k+7g5RRETE7VweMps4cSKzZs1iyJAhzJs3z1HfuXNnxo8f79I54+PjGTx4MLGxsXTq1InZs2eTlJTEyJEjgdyhrIMHD/Lee+85jtm8eTMAGRkZHD16lM2bN+Pj40OLFrmbRowePZqrr76al19+md69e/P111+zZMkSl3qxqgIL+ZMfaxFXqj5jOc033MqFv1YpR+GyOu6KTkREpHS4nBDt2rWLq6++Ol99SEgIp06dcumc/fv35/jx44wfP57k5GRatWrF999/T/369YHchRjzrknUvn17x88bN27ko48+on79+uzbtw/ITdDmzZvHM888w7PPPkvDhg2ZP38+HTt2dCnGys5s5E+IDK+i9RCZTAbe3qfIyQl31GktIhERqQhcTohq1arFH3/8QYMGDZzqV69eTUxMjMsBPfTQQzz00EMFvjd37tx8dYZx6VWU77rrLu666y6XY6pK9lhCMWFgwu7Yy6ym19IC+o0KpoRIREQqIpfnEP3f//0fo0ePZt26dZhMJg4dOsSHH37I2LFjC01opCLIfezewIwVb87ij6mIc4ggNyG6kBIiERGpCFzuIXr88cdJTU3l2muv5ezZs1x99dX4+voyduxYHnnkEXfGKGUp7zpERd2242/e3iedykqIRESkInA5IQJ48cUXefrpp9m5cyd2u50WLVoQFBTkrtjEI/IkRKaibex6zvmEyCCIDM4knQUi3BKZiIhIaSlRQgQQEBBAbGysO2KRcsF5FNVUxJ3uz7k36zse4TFqkoI/Z/ll6S3AAjfGJyIi4n7FSoguXL35Uoq7l5mUE0aeX4liJkTeltPU5/yTgIGnNWYmIiLlX7ESosTERKfyxo0bsdlsNG3aFIDff/8di8VChw4d3BehlCk/w04d/nRs22GjeAnRKR/n9iFZSohERKT8K1ZCdOH+ZVOmTCE4OJj//ve/VK9eHYCTJ09y33330a1bN/dGKWXmqpwTLKKho5ySFcGVzCny8Wl+zpOwa9iOYtiNYj2pJiIiUtZcfux+8uTJJCQkOJIhgOrVqzNx4kQmT57sluCk7Hnl6RCymiwFNyzEgWATt/ONY/uOmqSQkeHGAEVEREqBy5Oq09LSOHLkCC1btnSqT0lJIT09vcSBiWeY8yzBaC3mr0i2XwbfcbtTXcpRCK46++OKiEgF5HIPUZ8+fbjvvvv47LPP+Ouvv/jrr7/47LPPGD58OH379nVnjFKG8m7uasv7GP4lmM1n8Pd3rtNaRCIiUt653EM0a9Ysxo4dy6BBg8jJyck9mZcXw4cP55VXXnFbgFK2vveOxp9Mx7Yd3iEZBLKlyMebTFCzJuzff75OCZGIiJR3LidEAQEBzJgxg1deeYU9e/ZgGAaNGjUiMDDQnfFJGTNMudt1nONl8aK4f6JKiEREpKIp8cKMgYGBtGnTxh2xSHlglGxhRshNiC6khEhERMo7l+cQSWVVsr3M4MKEyCCKZLJ27StpUCIiIqVKCZHk4ZwQmVxYPui2Ux/wK83IJIBkanPbwlFuik1ERKR0lHjITCqZEu52D1CzhpVm7HKUq6fuLWlUIiIipUoJkTgJMGz4cQQbFqx4YTIyi32OwFbRTuVaWfu0WrWIiJRrLg+ZDRs2jJUrV7ozFikHBmdt4whRHCOCU1TnuxN3FfscEVc0cCr7kM2JPSfdFKGIiIj7uZwQpaen06NHDxo3bsy///1vDh486M64xEMseVeqLubWHQBRHS5jsOkDurCay/gLP86yN7WGu0IUERFxO5cTos8//5yDBw/yyCOP8Omnn9KgQQNuvvlmPvvsM8dCjVLxWPLsbm8zFf9XxMvPi9X172UNXTjEZRiY2atpRCIiUo6V6CmzsLAwRo8eTWJiIuvXr6dRo0YMHjyY2rVrExcXx+7du90Vp5SR/Ju7ujbNLNp5GhH79rkWj4iISFlwy2P3ycnJLFq0iEWLFmGxWLjlllvYsWMHLVq0YOrUqe64hJSRN326Ec5RokjmMv7iHzVfc+k8DRo4l9VDJCIi5ZnLT5nl5OTwzTffMGfOHBYtWkSbNm2Ii4vj3nvvJTg4GIB58+bx4IMPEhcX57aApXRlmfzIJNxR9ve2UJP9FzmiYHkTIvUQiYhIeeZyQlSrVi3sdjsDBgxg/fr1tGvXLl+bnj17Uq1atRKEJ2UuzzpErmzdARoyExGRisXlhGj06NH885//JCAgwKneMAwOHDhAvXr1qF69Ons1VlLB5F2Y0bWE6HwPkUFNUoj4cy+GvaPWIhIRkXLJ5TlE48aNIyMjI1/9iRMniM7bPSAVR57NXTG5lhDFhB5nJ805TSBHiGJFVieO7dQuryIiUj65nBAZRsFflBkZGfj5+bkckHiac6ehq0NmUc2q0ZA9BHDGUXdk3b6SBCYiIlJqij1kFh8fD4DJZOK5555zGjKz2WysW7euwPlEUjH4GVYgAxsWbFgwYXPpPBYfC3951aO+dY+jLm3LXqCjewIVERFxo2InRImJiUBuD9G2bdvw8fFxvOfj40Pbtm0ZO3as+yKUMvVi1heMZqSjPDf5HsYxyKVzHQuJpv6J3IQoG2/S959wS4wiIiLuVuyEaNmyZQDcd999TJ8+nZCQELcHJZ6Td6MOV1aqPmdR1wmM/uZ59tGAZGrxj1oWepYsPBERkVLh8lNmc+bMcWccUk54YXcq28zF38vsHPuVV/HTN+fLeuBQRETKq2IlRPHx8UyYMIHAwEDHXKLCTJkypUSBiWd4GXn3MnM9IdLijCIiUlEUKyFKTEx0bNx6bi5RQUwmrTVTUT3pM5gJZ97Fgg0vrNhqnwKOunSuvKsv7N8PdjuY3bJhjIiIiPsUKyE6N38o789SeZykGsep7yiH+O6huosJUd4eoqwsOHwYatcuQYAiIiKlQP9WlzzyDJG5uDAjQFQU+Po612nYTEREyqNizyEqKs0hqqjcs5cZ5A6N1a8Pv/+eu31HA/aR8ksUdK5/6YNFRETKULHnEBWF5hBVYIb7eogApp3+B9350LFi9bLvXoTR/yrROUVERNzN5TlEUlm5r4cIIDDY7LR9h+WAnr0XEZHyR3OIxInZDqYL1yIqYUJkr+/8qFng0X0lOp+IiEhp0DpE4uSbnKe5mXXYMWHFi+f/+icf09Xl8/k0aQALc3/OwYusM/aLthcREfEErUMkTix/9w6ZMfAhp8RDZj43X0+311eyjwYcojYWq4UzNrC4vt6jiIiI22kdInGSb+uOEuxlBlD38ghWE+Eo23MgORnq1CnRaUVERNzKLXOIDMPAMErWkyDlgyVvQmQp2a9IzZrg5+dcpz3NRESkvCnRt927775Lq1at8PPzw8/Pj1atWvHOO++4KzbxgCFeE2nBDlqzlfZs4puoG0p0PpNJe5qJiEj55/Ju988++yxTp05l1KhRdOrUCYC1a9cSFxfHvn37mDhxotuClLJzgDoYtHCUw/y2EMTpEp0zOhp+++18WT1EIiJS3ricEM2cOZO3336bAQMGOOp69epFmzZtGDVqlBKiCitPp2EJF2YE9RCJiEj553JCZLPZiI2NzVffoUMHrFZriYIST8rzK1HCp8zgXEJkEMFRGrCPaomngWtLfF4RERF3cXkO0aBBg5g5c2a++tmzZ3PvvfeWKCjxoDxbd5jc0EPU6dQPnCaQFCJZT0fitt9f4nOKiIi4k8ubu5pMJt555x0WLVrEVVddBcDPP//MgQMHGDJkiHujlDKUJ0d2Qw9RWNNwp+07alkPYD1rxcvP5Q5KERERtyrR5q4dOnQAYM+ePQBEREQQERHBjh073BSelDnD+VeipAszAtS8soFT2Qsb+3/aR/3rG5X43CIiIu6gzV3Fya+266jHIax4YcPC/6WMZ12ThiU6Z1jTcI6bwggzjnMGP7bTivTENOpf76agRURESqjEYxY7d+4kKSmJ7OxsR53JZOL2228v6anFA/w5iz9nHWULthKf02Q28e92n7IgsRZ/0AgbXjyfAdeV+MwiIiLu4XJC9Oeff9KnTx+2bduGyWRyrFR9bh8zm63kX6RS9vKuVG1106Zj9u7XsuuCEdctW9xyWhEREbdw+Smz0aNHEx0dzZEjRwgICGDHjh2sXLmS2NhYli9f7sYQpSx55ekRKunWHee0betcVkIkIiLlics9RGvXruXHH38kIiICs9mM2Wyma9euJCQk8Oijj+abgC0Vw42mL/A1fLFgwwsrKTUygZwSnzdvQrR3L6SlQUhIiU8tIiJSYi7/899msxEUFARAeHg4hw4dAqB+/frs2rXLPdFJmdtGGzZwBeu4ip/oSppfkFvO27w55B1927bNLacWEREpMZcTolatWrF161YAOnbsyKRJk/jpp58YP348MTExbgtQypr7F2aE3B3vmzVzrtOwmYiIlBcuD5k988wznD6du+nnxIkTue222+jWrRthYWHMnz/fbQFKGcuzUrU7FmY8p21b2Lcjg9Zsow1b8fkiBB4acOkDRURESpnLCVHPnj0dP8fExLBz505OnDhB9erVHU+aSUWUp4fIjQnR0DOzeJ+HMJN7zm3rrgKUEImIiOe55REiwzAwDIMaNWooGarwSq+HqMblDRzJEEB0xjbsVvtFjhARESkbJUqI3n33XVq1aoWfnx9+fn60atWKd955x12xSRkzDBP5fiXcNIcIoO5tzo+aBXGaAyv+dNv5RUREXOXykNmzzz7L1KlTGTVqFJ06dQJyH8WPi4tj3759TJw40W1BStkw2+AE1R3bdljx4u6MSSSHh7rl/DXbRHHUFEEN4zi7aMoW2lJjh01beIiIiMe5nBDNnDmTt99+mwEDzs8B6dWrF23atGHUqFFKiCogi2GmOqec6kwm9w1pmcwmxl71E5+srcNZ/AF49hj0vMRxIiIipa1E6xDFxsbmq+/QoQNWq7VEQYlnmI38vw42N23dcU54p8aOZAjg75UbREREPMrlhGjQoEHMnDkzX/3s2bO59957XQ5oxowZREdH4+fnR4cOHVi1atVF269YsYIOHTrg5+dHTEwMs2bNcnp/7ty5mEymfK+zZ88Wcsaqy2zP/+tgd28+pC08RESkXCrWkFl8fLzjZ5PJxDvvvMOiRYu46qqrAPj55585cOAAQ4YMcSmY+fPnM2bMGGbMmEGXLl146623uPnmm9m5cyf16tXL137v3r3ccsst/OMf/+CDDz7gp59+4qGHHiIiIoI777zT0S4kJCTf6tl+fn4uxViZZZq86coqx7YdXlg56W8D3Dexuk0b5/K+fZCaCqHumaYkIiLikmIlRHn3J+vQoQMAe/bsASAiIoKIiAh27NjhUjBTpkxh+PDhjBgxAoBp06axcOFCZs6cSUJCQr72s2bNol69ekybNg2A5s2bs2HDBl599VWnhMhkMhEVFeVSTFWJ1eTNL3R1qqvjswiLG/YyO6d5c/DyggtHVbduhW7d3HYJERGRYitWQrRs2bLSioPs7Gw2btzIk08+6VTfo0cP1qxZU+Axa9eupUePHk51PXv25N133yUnJwdvb28AMjIyqF+/PjabjXbt2jFhwgTat29faCxZWVlkZWU5ymlpaa5+rArFyLtKNbh1HSIAX9/cpOjCfcyUEImIiKe5/JQZwKlTp3j33Xf59ddfMZlMtGjRgvvvv59QF8Y/jh07hs1mIzIy0qk+MjKSw4cPF3jM4cOHC2xvtVo5duwYtWrVolmzZsydO5fWrVuTlpbG9OnT6dKlC1u2bKFx48YFnjchIYEXXnih2J+h4sufELlrL7MLtW+ZDdt+oy1baMNWwj6sAw+Pdvt1REREisrlSdUbNmygYcOGTJ06lRMnTnDs2DGmTJlCw4YN2bRpk8sB5V3p2jCMi65+XVD7C+uvuuoqBg0aRNu2benWrRuffPIJTZo04fXXXy/0nE899RSpqamO14EDB1z9OBVKWfQQAdyX/hpbacv7DOExXqXV1o/dfg0REZHicLmHKC4ujl69evH222/j5ZV7GqvVyogRIxgzZgwrV64s1vnCw8OxWCz5eoNSUlLy9QKdExUVVWB7Ly8vwsLCCjzGbDZzxRVXsHv37kJj8fX1xdfXt1jxVwZGAY/du3Mvs3OCu7SBBefL0ae3Ycu2YfFx8yNtIiIiRVSiHqInnnjCkQwBeHl58fjjj7Nhw4Zin8/Hx4cOHTqwePFip/rFixfTuXPnAo/p1KlTvvaLFi0iNjbWMX8oL8Mw2Lx5M7Vq1Sp2jJVdWfUQ5d3CI5BMkpZrCw8REfEcl3uIQkJCSEpKolmzZk71Bw4cIDg42KVzxsfHM3jwYGJjY+nUqROzZ88mKSmJkSNHArlDWQcPHuS9994DYOTIkbzxxhvEx8fzj3/8g7Vr1/Luu+/y8cfnh2BeeOEFrrrqKho3bkxaWhqvvfYamzdv5s0333Txk1de9c+k8w11HNt25ODNTabJbr9OzdaRpJgjybT7sZU2bKEt7f/0J9rtVxIRESkalxOi/v37M3z4cF599VU6d+6MyWRi9erVPPbYY07beRT3nMePH2f8+PEkJyfTqlUrvv/+e+rXrw9AcnIySUlJjvbR0dF8//33xMXF8eabb1K7dm1ee+01p0fuT506xQMPPMDhw4cJDQ2lffv2rFy5kiuvvNLVj15p+dihDgcd5ZySzbm/qOHX/Ml3PwY4ys8chNtK7WoiIiIX5/I33quvvorJZGLIkCGOrTq8vb158MEHeemll1wO6KGHHuKhhx4q8L25c+fmq+vevftFJ3FPnTqVqVOnuhxPVWI2nCeo2wp46sxdmrYP4Lsfz5fXrSu1S4mIiFySywmRj48P06dPJyEhgT179mAYBo0aNSIgIODSB0u5ZCnDhKhTJ+fy6tWQlZW7TpGIiEhZcykhysnJoUePHrz11ls0adKE1q1buzsu8YC9PjXoyf/wwooFGyav0tuk95prnMtnzuT2El19daldUkREpFAuJUTe3t5s3779ousDScWTZvZnDT0dZbNXNnVZfJEjXBcWBu3awebN5+t+/FEJkYiIeIbLj90PGTKEd999152xiIfle+y+FB65v9D11zuXVyzOLtXriYiIFMblOUTZ2dm88847LF68mNjYWAIDA53enzJlSomDk7LmnB8Xd1HGnFPJbN16gK5du166MZB6/Eo6cyfX8SPX8SMd1mzk2is70KxDM2bOnFmsa4uIiJSEywnR9u3bufzyywH4/fffnd7TUFrFZBh5fh2KuY+ZkXOWDGDDvpNFah9oXc4mXseb83OVvDeeYZvPtoscJSIi4n4uJ0SlufO9eEa+rTtcGDLziYgmatCkIrffMGU8nXLWO8o3WKrzDenFvq6IiEhJFHsOUWZmJg8//DCXXXYZNWvWZODAgRw7dqw0YpMylncOUWnsY5bX6pqxTuXu1oOFtBQRESk9xU6Inn/+eebOncutt97KPffcw+LFi3nwwQdLIzYpY10y9vEbTdlBC7bQhk8yXFtxvDjWNG3JFtowlTHczjf0MFZgtbq29YuIiIirij1k9sUXX/Duu+9yzz33ADBo0CC6dOmCzWbDYtFu5RVZkC2bppyfD2axl946ROdsah9NuxWbwHb+dyc1tV2pX1dERORCxe4hOnDgAN26dXOUr7zySry8vDh06JBbA5OyZ7Y7l62luJfZOSYvO351nCdhp6ZeXurXFRERuVCxEyKbzYaPj49TnZeXl2M/M6m48qY/NpPLy1QVi1995zlop07FFtJSRESkdBS7C8AwDIYNG4bvBZtOnT17lpEjRzqtRfTFF1+4J0IpMz/7NaIvn2PBhhdWMoPLZgjUr95xp/KZM9EcPgxRUWVyeRERkeInREOHDs1XN2jQILcEI551yKsGq+jrKPv6nySKNaV+XZ9aqZh8cjCyvR11y5bBgNKf0y0iIgK4kBDNmTOnNOKQcqCst+44x2Q28Kt7gjN7IgGox372f/QXDOhSJtcXEREp/VmzUoGUfGFGV7UK38CIPV9zHT/SiD3s/18MsKfMri8iIlVb2cyalQoh38KMJnshLd0vJOoID/A2jf5Ogupb/2T/j0qIRESkbCghEgdPDZkB/NEkgqOEO9XtTZhXZtcXEZGqTQmROHhi6w4Hs5mvw3o6ir/TmKXbamKUYQgiIlJ1aQ6ROPRPX0N/3saGBSterD4ey5vcVGbX/+yKaznzv+q8z2B+4Qo4YqL3RojVskQiIlLKlBCJQ01rGpeT6CgfsdYo0+v/2iaKhYsfB1tdR9377yshEhGR0qchM3Gw5BmfKquVqs8xmcAS8J1T3ccfQ05OmYYhIiJVkBIicci7LrXNVPab9Zr9v3UqHz0KixeXeRgiIlLFaMhMHL71u4p16f3wwooXVpKrB5d5DGbv/QQF7SQjo4Wj7oMP4JZbyjwUERGpQpQQicMO72gWc36/jMDgA4SztczjqFnzf04J0bdfWkk/bic4zOciR4mIiLhOQ2bi4NHH7i8QHv4jXhaDDmxgKmP44+xlbHnyY4/EIiIiVYMSIrmA57buuJC39ym+rvMQG7iCMUwnkhT8v/jAI7GIiEjVoIRIHMpLDxFAtd7XOJXbn1hK8oaDnglGREQqPSVE4pBv6w6T5xKi9s/3Io3zk7rNGCS+ssRj8YiISOWmSdXi4Mm9zPLyr+HPhsZ3cdnu5XzAID5gEDnrm7ArG3w0t1pERNxMCZE4xGXMpysJfz9078XXR6/jW9p6LB7za9NpeHMQYMqt2AfvvQcjRngsJBERqaQ0ZCYOjWx/0ZWfuIYV3MBSGmQf8Gg8nXsG07mzyanuxRe1crWIiLifEiJx8DLsTmV7GW/dkZfJBM8/71y3b1/u/mYiIiLupIRIHMw4zxmymst+6468brwROnVyrps4Ub1EIiLiXppDJA7/9e3F99kD8MKKBRs7akR5OiRHL9FNN52v27vX4PM3DnNPXC3PBSYiIpWKEiJxWOZ1FSfp4ihXq/YboezxYES5evSAjh1h3TqDW1nA87xAzcdPYn3wN7z89CssIiIlpyEzcShP6xBdyGSCF+OP8wtX8B23cwUbqG/dw8+jPvR0aCIiUknon9dyAef82BMrVeecSmbr1gN07drVqd6wG0wzZ8MF875rvfs83ba9g+HlHGfr1q2ZOXNmWYQrIiKVhBIicSgPCzMaOWfJADbsO5nvvfGB9fk2fZujvN1oy46dncgMOf/YWfbRvWURpoiIVDJKiMQh315mHhoy84mIJmrQpHz1W+0Gv0w7QuOcPYzidT5gEJw2qHVXZ3xqpgNw+IPHyzpcERGpBDSHSBwMI+9u9/aCG3qIyWzisZ6jacl2PmAwYAK7mWML2mLYTJc8XkREpDDqIRKHSWdfpgHHsWHBihdzT9xGIrU9HZaTfS3DyDh2Fn4+X5eTEkrqmsZU6/a75wITEZEKTQmROFxp28Ll7HCUF2V1KHcJEUC1Lrs5s6cmOUdDHHWpaxvi3+iIB6MSEZGKTENm4uCFzalsLwcrVRfE5GUn/NYtzkN6hpnj37XBYvf2XGAiIlJhKSEShyDjjFPZaimfCRGAT2QaoZ3+cJQv4y++OdGPV47WxLCXj/WTRESk4tCQmQCQlgY3GktpTyKXs4n2JLKntue37riY0E5/cGZ3Te5J+ZrpjKYaqWCF9F/v8HRoIiJSwaiHSADYsgX+pCGfcxdP829uMS9gT5NIT4d1USaLQbvu/2M2D+QmQ3974tRXLHvwEw9GJiIiFY0SIgEgMdG57B2WgcmrfD12X5AjMcE82v55p7p1XMk9s6/j2289FJSIiFQ4SogEyJ8Q+USmFtywHFrYoy3/avwEAD9wE9fxIyn2cPr1gzVrPByciIhUCEqIBCgoIUrzTCAu+qhvN4Y2eo1efEMmgQCcPQu33AJLl3o4OBERKfeUEAlZWbBjh3NdRUuIAJb3jcEesMCpLjUVevaEGTM8FJSIiFQISoiEX3/JIMDqPETmU7PiJUQmE3hVe57q1X9yqrfZYPTDOXza7TVyMnM8FJ2IiJRnSoiE9Hfmk0o1/qAhn3EnD/q/htnX6umwXGIyWWna9Fn69r2w1uA1HuXu1aPZVudmju865qnwRESknFJCJNg35U4gasif3MkX3GBZ7OGISsZiyebTT+HZZ3PLD/MmDzILgMtPLsVo3pz/Pb8WQ+s3iojI35QQCdX3Oc+o3hHeyEORuI/ZDOPHw+dvHSOBp5zesxoWBoxvRs+e8OefHgpQRETKFSVEVZzNanBZ+m9OdTsvq++haNyv7wPhJP1nKYfNtRx1j/Iap6jO4sXQqhVMnAjp6R4MUkREPE4JURX3xx4TtUimPZu4n3d5nUf4tcllng7LrVredyWmjRv5uXZfvuNWPuVux3tnzuQOrdWvn9ujdOpYxZw7JSIiJaO9zKq4xETIwYfNtGcz7ZljPkr9mus9HZbLck4ls3XrAbp27Zr/zWjICLoKn31Hyc6u6fTWyZMw5flTDHu+Ne8Ht+ePG+ox/Ys3yihqERHxNCVEVVzeBRnN3r96JhA3MXLOkgFs2HeykBY/QNhKzGmjsZ8ewIWdpKN4nXr8xaj0v7B/aWJJ7TSOTXmPO+4AP78yCF5ERDxGCVEVlzchMnn/CtTxSCzu4hMRTdSgSZdsl3X4J1LXNObM7iiCSGcM0xzvmTHYnFyTxwZAtWrQty/cdhvccAMEB5de7CIi4hlKiKowwyggIfL5jYqeEBWVb1QaNftuJDslmG6L/qD6QedepbkMA+DUKfjPf3JfPj7QvTs83GABza6/jEZ9WmPxsZR98CIi4lZKiKqwgwfhWJ41CnOHzG7wSDye4lMznXWDIrlmz1yG/fg/7jrxHbtoyg5a5WubnQ3LFufwKQMJfTuNNIL5xasFz9a8g9RqRwgM3I2Pzylat27NzJkzPfBpRETEFUqIqrDfFiXRnmPsoCXZ+GKxZIDlL0+H5TFJDcMY3/BeHpn8Py6z18PkvRYjq1O+dl34iVBytzYJIZ3u1g1sObSUzEOBf7c4zI4d+wgJgdb102hj2kbta5oQ1jQck9lUhp9IRESKSglRFeb1wVw28Tw5eLGDlnzp1Z2XTVq++az5LAcif6PeoBNYU38k8/cozuypydkDNcBu5ja+c2qfSHsyCbygJopTp6KYNAmuZz1LuBGAk1RjvaUNA0PH4+t7xPHy8TmGj89xvL2OYfE6v9eaeplERMpOuUuIZsyYwSuvvEJycjItW7Zk2rRpdOvWrdD2K1asID4+nh07dlC7dm0ef/xxRo4c6dTm888/59lnn2XPnj00bNiQF198kT59+pT2Ryn3/H7bDIA3VtqxhQ2W2p4NqBzyCj1DyBV7CbliL/YsL87sDSd7rY0/jsXQyJ67zPVqCnjE/29N+N3xc3VOEWLL5sSJ7gW2vZtPeIsHOEIYxwhi+4ZjjMiB8HCoXj33Va1a7n/DOE61nKMERIUQGBVMYM1AzF5aVkxExFXlKiGaP38+Y8aMYcaMGXTp0oW33nqLm2++mZ07d1KvXr187ffu3cstt9zCP/7xDz744AN++uknHnroISIiIrjzzjsBWLt2Lf3792fChAn06dOHL7/8kn79+rF69Wo6duxY1h+xXLksxXlG9e5gfw9FUjGYfa0ENjvM7GY3MJsbqHEkg3Y79rHrdEt8Tp4k52gIhtV5gnVjdjuV91P4KuC1SKY6qVQnFYCsrHAefLfgtg/wGW9xPvFfwdVcZ/4Bi+UMFstZzOYzBAebadEihk6nl3D7wVlYfQOw+/hxPLwZazvF4+cHvr7nXz4+EJb6J7X2/4zZ1xuznw/2GuGcbtcFLy/w9s59nfvZ52wavqeOYPH1wuxtwRLohymyJl5eYLHkeZkNLBY0ZCgi5Va5SoimTJnC8OHDGTFiBADTpk1j4cKFzJw5k4SEhHztZ82aRb169Zg2bRoAzZs3Z8OGDbz66quOhGjatGnceOONPPVU7n5WTz31FCtWrGDatGl8/PHHZfPBCrBjByQkQI3TB+i/+fxeWwYmZnV5v8BjQs4c4d5N/3Sqm33Vf7BZfPK1Dcg+xdBfHnGqm3PlTE6bg8nJAc6eJcHm/Me/t1oOZLj4gaqgE5FB/BiZO/G6Fmsw7GA9GcihOe9g8b8an1q9CExKIyvLB1+yAUgif2J/Ti2SncrHCC+0bcjfc5jOySQAuz33lfP3qFtmJhw5As34nav43NF2Od15ZXV8gecdxgrmcL+jvI4ruZF1Bba9hwV8zEBHeQttaMeWAtvewVd8SV/smLBjZhdNaGNOBOyAgclkw2QyADvdjVV8YBtBbsnMQSLp5rMQk+lcWwPIfbW3b+U/OaMxMGFgItUUzA1+8wEc7bKysgCDNt4HmJ315N9HmsjGh5sC/ut0vnPH1bUfYtaZZxzxmy1ePNNpLYbJjMkEpr/zOpMJqmWn8NSOe3PLf5/7hfZfke0V4Dj+XPsAaxpPbrnngjtj4tV2H5DhXd3pnABetiye3JS7qnpaWhpWq5X4wLGkmMMcsV7ov+nPYLqg/qmAURy0RDq1CQ0NoV279oz55V687Wc5l55+0DKB5OAmTtc/58GNIwjISXWUP23xPAdCnR84OHfM/ZseITQrxVH/VbMn2Fu9Q752AIM2jyXszAFH+YfGo/k9vHO+z2UyQb9tzxCV/oejbkmjkeyseU2+tgB9d4ynTupOx8VWRA9ja62eBba9/ddJNDh5/h+Ga+oPYONlvQpse9Ou6TQ+/rOjvK7unayve1e+zwVw/e5ZNDu60lHeXPtWfmpwb4HnvfrPubQ+vMhR3h55Aysa3l9g2077PubyQ986yrsiurGk8YMFtr3iwOdceeD8//d7wjqysNnoAtu2O7iAzvs+cpSTqrfluxaPF9i25eEldN8zx1E+FNKMr1o/W2DbZikruW73W47y0aBoPm07scC2PtZMsr0CqFcv97vRE8pNQpSdnc3GjRt58sknnep79OjBmjVrCjxm7dq19OjRw6muZ8+evPvuu+Tk5ODt7c3atWuJi4vL1+ZcElWQrKysv/8SzZWamvuXQVpaWmGHFNuePfDhh9Ccv5jIh456GyY+3Pdmgcc0IJmXLmgLMG/fFLLJv2pgBEd5NU/bL/ZN5OQFf2F+zkaCSaUlO7jcvJUDQV+S9eefJL/3z7ynKxIj+yxZKa4f745zlIcYsP2OLetzbBlTGFUDHrXHUCenGjHZQRziBGamYVijMGxRYKsJ9nDAj1CSnNKcA4QABf/O+XDU6Z2j+BTa1sxJp3dOYCm0LaQ6vXMKU6Ft7aQ7vfP3/yUFtrWR8fc7BmDjDDnY7VkFtDQD2QRw/ks1CDPZ2YX1XpqpzR5HKcCoTmZmzQJb2q0naMx2R/ksPmRk1C2wbTbZtGHThR+AZSvSKGi3o8s4SmOWONUtXXqKTPJvA1Od48zhB6e6Hxcf5xj5l27w5Qz/5VunusxTMzhBgwJjvppVTuWc1Fc4QQunuhMnYO/eNN7gK4LIdNT/fOhhNhJV4Hlf4mtqcv5x1McPDmV1IYn9M3xLA5Ic5XF/3cUiGhfYNo4FtOD8PoqvHriJLwt4shPgAf5HKzY6ym8euJr5XF5g20EsphWrHeW5SZczj/wPRwD0YSmtOJ+MfJLUjHlcU2DbHqygFV86yt8m1WcePQps25VVtOb8P7iX7Q/j47W3F9i2PWuc2q7b78/H6+8qsG1T1jm13bbf4OMNBSda9djg1HbP/tN8tOm+AtvWIJH/43xCdHh/Ch9tHllg2/vZyiMXtE2lMx9tKzjRuoedjL6g7Sba8dGOghOtYFJJx0rLlvDUUwU2ccm5723DKML8WKOcOHjwoAEYP/30k1P9iy++aDRp0qTAYxo3bmy8+OKLTnU//fSTARiHDh0yDMMwvL29jQ8//NCpzYcffmj4+PgUGsvzzz9/4T8Z9dJLL7300kuvCvw6cODAJfOQctNDdI4pT9+jYRj56i7VPm99cc/51FNPER9/fkjBbrdz4sQJwsLCLnqcK9LS0qhbty4HDhwgJCTEreeuSnQf3UP30T10H91D99E9qvJ9NAyD9PR0ate+9END5SYhCg8Px2KxcPjwYaf6lJQUIiMjCzwmKiqqwPZeXl6EhYVdtE1h5wTw9fXF19fXqa5atWpF/SguCQkJqXK/qKVB99E9dB/dQ/fRPXQf3aOq3sfQ0NAitSs3z+n6+PjQoUMHFi9e7FS/ePFiOnfOP9EOoFOnTvnaL1q0iNjYWLy9vS/aprBzioiISNVTbnqIAOLj4xk8eDCxsbF06tSJ2bNnk5SU5FhX6KmnnuLgwYO89957AIwcOZI33niD+Ph4/vGPf7B27Vreffddp6fHRo8ezdVXX83LL79M7969+frrr1myZAmrV68uMAYRERGpespVQtS/f3+OHz/O+PHjSU5OplWrVnz//ffUr18fgOTkZJKSzj/BEB0dzffff09cXBxvvvkmtWvX5rXXXnM8cg/QuXNn5s2bxzPPPMOzzz5Lw4YNmT9/frlZg8jX15fnn38+3xCdFI/uo3voPrqH7qN76D66h+5j0ZgMoyjPoomIiIhUXuVmDpGIiIiIpyghEhERkSpPCZGIiIhUeUqIREREpMpTQlQGEhISuOKKKwgODqZmzZrccccd7Nq1y6mNYRiMGzeO2rVr4+/vzzXXXMOOHTs8FHHFkJCQgMlkYsyYMY463ceiOXjwIIMGDSIsLIyAgADatWvHxo3n94rSfbw0q9XKM888Q3R0NP7+/sTExDB+/Hjsdrujje5jfitXruT222+ndu3amEwmvvrqK6f3i3LPsrKyGDVqFOHh4QQGBtKrVy/++uuvMvwUnnex+5iTk8MTTzxB69atCQwMpHbt2gwZMoRDhw45nUP30ZkSojKwYsUKHn74YX7++WcWL16M1WqlR48enD592tFm0qRJTJkyhTfeeINffvmFqKgobrzxRtLT0z0Yefn1yy+/MHv2bNq0aeNUr/t4aSdPnqRLly54e3vzww8/sHPnTiZPnuy0Grvu46W9/PLLzJo1izfeeINff/2VSZMm8corr/D666872ug+5nf69Gnatm3LG2+8UeD7RblnY8aM4csvv2TevHmsXr2ajIwMbrvtNmw2W1l9DI+72H3MzMxk06ZNPPvss2zatIkvvviC33//nV69ejm1033M45K7nYnbpaSkGICxYsUKwzAMw263G1FRUcZLL73kaHP27FkjNDTUmDVrlqfCLLfS09ONxo0bG4sXLza6d+9ujB492jAM3ceieuKJJ4yuXbsW+r7uY9Hceuutxv333+9U17dvX2PQoEGGYeg+FgVgfPnll45yUe7ZqVOnDG9vb2PevHmONgcPHjTMZrPxv//9r8xiL0/y3seCrF+/3gCM/fv3G4ah+1gQ9RB5QGpqKgA1atQAYO/evRw+fJgePXo42vj6+tK9e3fWrFnjkRjLs4cffphbb72VG264wale97FovvnmG2JjY7n77rupWbMm7du35+2333a8r/tYNF27dmXp0qX8/vvvAGzZsoXVq1dzyy23ALqPrijKPdu4cSM5OTlObWrXrk2rVq10Xy8iNTUVk8nk6AnWfcyvXK1UXRUYhkF8fDxdu3alVatWAI7NZ/NuOBsZGcn+/fvLPMbybN68eWzcuJENGzbke0/3sWj+/PNPZs6cSXx8PP/6179Yv349jz76KL6+vgwZMkT3sYieeOIJUlNTadasGRaLBZvNxosvvsiAAQMA/T66oij37PDhw/j4+FC9evV8bfJu5C25zp49y5NPPsnAgQMdm7vqPuanhKiMPfLII2zdurXAvdRMJpNT2TCMfHVV2YEDBxg9ejSLFi3Cz8+v0Ha6jxdnt9uJjY3l3//+NwDt27dnx44dzJw5kyFDhjja6T5e3Pz58/nggw/46KOPaNmyJZs3b2bMmDHUrl2boUOHOtrpPhafK/dM97VgOTk53HPPPdjtdmbMmHHJ9lX5PmrIrAyNGjWKb775hmXLllGnTh1HfVRUFEC+rDwlJSXfv5Sqso0bN5KSkkKHDh3w8vLCy8uLFStW8Nprr+Hl5eW4V7qPF1erVi1atGjhVNe8eXPHPoH6fSyaxx57jCeffJJ77rmH1q1bM3jwYOLi4khISAB0H11RlHsWFRVFdnY2J0+eLLSN5MrJyaFfv37s3buXxYsXO3qHQPexIEqIyoBhGDzyyCN88cUX/Pjjj0RHRzu9Hx0dTVRUFIsXL3bUZWdns2LFCjp37lzW4ZZb119/Pdu2bWPz5s2OV2xsLPfeey+bN28mJiZG97EIunTpkm/Zh99//92xibJ+H4smMzMTs9n5r1CLxeJ47F73sfiKcs86dOiAt7e3U5vk5GS2b9+u+3qBc8nQ7t27WbJkCWFhYU7v6z4WwGPTuauQBx980AgNDTWWL19uJCcnO16ZmZmONi+99JIRGhpqfPHFF8a2bduMAQMGGLVq1TLS0tI8GHn5d+FTZoah+1gU69evN7y8vIwXX3zR2L17t/Hhhx8aAQEBxgcffOBoo/t4aUOHDjUuu+wy47vvvjP27t1rfPHFF0Z4eLjx+OOPO9roPuaXnp5uJCYmGomJiQZgTJkyxUhMTHQ8/VSUezZy5EijTp06xpIlS4xNmzYZ1113ndG2bVvDarV66mOVuYvdx5ycHKNXr15GnTp1jM2bNzt972RlZTnOofvoTAlRGQAKfM2ZM8fRxm63G88//7wRFRVl+Pr6GldffbWxbds2zwVdQeRNiHQfi+bbb781WrVqZfj6+hrNmjUzZs+e7fS+7uOlpaWlGaNHjzbq1atn+Pn5GTExMcbTTz/t9IWj+5jfsmXLCvz7cOjQoYZhFO2enTlzxnjkkUeMGjVqGP7+/sZtt91mJCUleeDTeM7F7uPevXsL/d5ZtmyZ4xy6j85MhmEYZdcfJSIiIlL+aA6RiIiIVHlKiERERKTKU0IkIiIiVZ4SIhEREanylBCJiIhIlaeESERERKo8JUQiIiJS5SkhEhERkSpPCZGIiIhUeUqIRKRcuuaaaxgzZkyZHecp11xzDSaTCZPJxObNm0t8ruJ+9mHDhjmu/9VXX5Xo+iIVmRIikSrq3JdgYa9hw4Z5OsSLKuzL/4svvmDChAllH1ABxowZwx133HHJdv/4xz9ITk6mVatWJbqeK599+vTpJCcnl+i6IpWBl6cDEBHPuPBLcP78+Tz33HPs2rXLUefv75/vmOzsbHx8fMokPlfVqFHD0yE4/PLLL9x6662XbBcQEEBUVFSJr+fKZw8NDSU0NLTE1xap6NRDJFJFRUVFOV6hoaGYTKZ8dddccw2PPPII8fHxhIeHc+ONNwLwv//9j65du1KtWjXCwsK47bbb2LNnDwBvvfUWl112GXa73el6vXr1YujQoQAYhsGkSZOIiYnB39+ftm3b8tlnnxU59mHDhrFixQqmT5/u6NHat28fkL/n6JprrmHUqFGMGTOG6tWrExkZyezZszl9+jT33XcfwcHBNGzYkB9++MFxTEnjy8nJwcfHhzVr1vD0009jMpno2LFjkY93Ne6CPvujjz7K448/To0aNYiKimLcuHHFikOkqlBCJCIX9d///hcvLy9++ukn3nrrLQBOnz5NfHw8v/zyC0uXLsVsNtOnTx/sdjt33303x44dY9myZY5znDx5koULF3LvvfcC8MwzzzBnzhxmzpzJjh07iIuLY9CgQaxYsaJIMU2fPp1OnTo5hpqSk5OpW7fuRT9DeHg469evZ9SoUTz44IPcfffddO7cmU2bNtGzZ08GDx5MZmamW+KzWCysXr0agM2bN5OcnMzChQuLdGxJ4i7sHIGBgaxbt45JkyYxfvx4Fi9eXOxYRCo9Q0SqvDlz5hihoaH56rt37260a9fuksenpKQYgLFt2zbDMAyjV69exv333+94/6233jKioqIMq9VqZGRkGH5+fsaaNWuczjF8+HBjwIABTtcePXp0odcs7P289d27dze6du3qKFutViMwMNAYPHiwoy45OdkAjLVr1xY5vkv58ssvjbCwsEu2u9jnKE7cBZ0r7zkMwzCuuOIK44knnsh3PcD48ssvLxmvSGWlOUQiclGxsbH56vbs2cOzzz7Lzz//zLFjxxzDY0lJSbRq1Yp7772XBx54gBkzZuDr68uHH37IPffcg8ViYefOnZw9e9Yx/HZOdnY27du3L5XP0KZNG8fPFouFsLAwWrdu7aiLjIwEICUlxW3xJSYm0rZt2zKLuyjnAKhVq9ZF24tUVUqIROSiAgMD89Xdfvvt1K1bl7fffpvatWtjt9tp1aoV2dnZjvftdjsLFizgiiuuYNWqVUyZMgXAkTwtWLCAyy67zOm8vr6+pfIZvL29ncomk8mpzmQyOWJzV3ybN28ucUJUnLiLc46LtRepqpQQiUixHD9+nF9//ZW33nqLbt26ATjmy5zj7+9P3759+fDDD/njjz9o0qQJHTp0AKBFixb4+vqSlJRE9+7dXY7Dx8cHm83m+gcphLvi27ZtG3369HFjZCJSmpQQiUixVK9enbCwMGbPnk2tWrVISkriySefzNfu3nvv5fbbb2fHjh0MGjTIUR8cHMzYsWOJi4vDbrfTtWtX0tLSWLNmDUFBQY4n0S6lQYMGrFu3jn379hEUFESNGjUwm0v+nIi74rPb7WzdupVDhw4RGBioR9tFyjk9ZSYixWI2m5k3bx4bN26kVatWxMXF8corr+Rrd91111GjRg127drFwIEDnd6bMGECzz33HAkJCTRv3pyePXvy7bffEh0dXeQ4xo4di8VioUWLFkRERJCUlFTiz1ac+ObOnesYsirIxIkTmT9/Ppdddhnjx493W2wiUjpMhmEYng5CRKSiGTduHMuXL2f58uUlOs8111xDu3btmDZtmlvicpXJZOLLL78s0sraIpWReohERFywcOFCJk2a5JZzzZgxg6CgILZt2+aW8xXHyJEjCQoKKvPripQ36iESEfGggwcPcubMGQDq1atX5lujpKSkkJaWBuQ+kl/QU4UiVYESIhEREanyNGQmIiIiVZ4SIhEREanylBCJiIhIlaeESERERKo8JUQiIiJS5SkhEhERkSpPCZGIiIhUeUqIREREpMpTQiQiIiJVnhIiERERqfL+H/HDSPOF5/QXAAAAAElFTkSuQmCC", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the distribution and the histogram\n", + "from scipy import stats\n", + "from scipy.stats import burr12\n", + "c, k, loc, scale = t.burr_parameters\n", + "x = np.linspace(20,130, 100)\n", + "plt.plot(x, burr12.pdf(x, c, k, loc, scale),\n", + " 'b-', lw=3, label='PDF using 4 parameters')\n", + "plt.plot(x, burr12.pdf((x-loc)/scale, c, k, 0, 1)/scale,\n", + " 'r:', lw=3, label='PDF using 2 parameters')\n", + "plt.hist(t.travel_time_df,density=True, bins=25,\n", + " edgecolor='k', linewidth=1.1)\n", + "plt.legend(loc='best', frameon=False)\n", + "plt.xlabel('Travel time, $t$ [min]')\n", + "plt.ylabel('Probability density and histogram [$-$]')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Burr fit on the data with 4 parameters (red) and with 2 parameters (blue)\n", + "fig, ax = plt.subplots(1, 1)\n", + "ax.plot(x, 1 - burr12.cdf(x, c, k, loc, scale),\n", + " 'b-', lw=3, label='Burr-fit 4 params')\n", + "ax.plot(x, 1 - burr12.cdf((x-loc)/scale, c, k, 0, 1),\n", + " 'r:', lw=3, label='Burr-fit 2 params')\n", + "ax.plot(bin_position[1:], 1 - travel_time_cdf,\n", + " 'k--', lw=3, label=\"CDF of data\")\n", + "ax.legend(loc='best', frameon=False)\n", + "plt.yscale('log')\n", + "plt.xlim([25, 60])\n", + "plt.ylim([1e-4, 1])\n", + "plt.xlabel('Travel time, $t$ [min]')\n", + "plt.ylabel('Exceedance probability, $1-F_t(t)\\:$ [$-$]')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "What do you think of the fit?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Part 4. Evaluating the Trajectory" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The requirement for the trajectory is that the 95 percentile value is no more than 10 minutes longer than the free-flow travel time:\n", + "\n", + "$$\n", + "t_{95} \\leq t_0 + 10\\: \\mathrm{min}\n", + "$$\n", + "\n", + "**Using the information provided above, compute the 95th percentile of the Burr distribution in the cell below.**" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "burr_95th_percentile = None" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Use this cell to check whether the trajectory meets the requirement, after you compute the 95th percentile above.**" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Replace the variable in the cell above with your calculation!\n" + ] + } + ], + "source": [ + "if burr_95th_percentile is None:\n", + " print('Replace the variable in the cell above with your calculation!')\n", + "elif burr_95th_percentile > t.t_0 + 10:\n", + " print('The requirement is not met, interventions are needed.')\n", + "elif burr_95th_percentile < 0:\n", + " print('The trajectory meets the requirement.')\n", + "elif burr_95th_percentile < t.t_0 + 10:\n", + " print('The trajectory meets the requirement.')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Part 5. Effect of Interventions on Travel Time\n", + "\n", + "Now it's time for the fun part: let's look at a variety of interventions and see if we can improve the travel time on this highway trajectory! The following sections describe the interventions and illustrate the Python tools that are available for you to re-design the highway.\n", + "\n", + "## Description of Intervention Effects\n", + "\n", + "The following interventions can be considered for our trajectory:\n", + "\n", + "1. **Extra Lane:** widens existing road by one or two lanes \n", + "2. **Hard Shoulder:** adds a hard shoulder to the existing trajectory, providing extra capacity, especially during peak flow moments \n", + "3. **Max Speed:** sets the maximum allowed speed on trajectory (current value, 130 km/h; maximum value: 170km/h)\n", + "4. **Alternate Trajectory:** constructs one or two alternative trajectory options (e.g. a second highway or large road), decreasing peak flow rate on the original trajectory \n", + "5. **Incident Management:** speeds up towing and accident clean-up services by X% which reduces time duration of an accident \n", + "6. **Accident Risk Reduction:** employs cooperative intelligent transport systems, C-ITS (vehicle to vehicle communication), to reduce the number of incidents by X%. For our case it can also include a number of measures such as smart signs, lights and lane control. \n", + "7. **Modal Shift, Trucks:** decreases the number of trucks during the morning commute by X% by promoting alternative modes and commute times for truck transport \n", + "8. **Modal Shift, Cars:** equivalent to the above intervention, but for cars \n", + "\n", + "## Implementation of Intervention Effects\n", + "\n", + "The following table indicates which Method can take into account each intervention and how, as well as key information for using the Python tools:\n", + "\n", + "| No. | Intervention | Variable | Method 1 | Method 2 | Keyword Argument | Values |\n", + "| :---: | :---: | :---: | :---: | :---: | :---: | :---: |\n", + "| 1 | Extra Lane | $C$ | X | X | `extra_lane` | `None`, 1, 2 |\n", + "| 2 | Hard Shoulder | $C$ | | X | `hard_shoulder` | `True`/`False` |,\n", + "| 3 | Max. Speed | $t_0$ | X | X | `max_speed` | >0, 170 max |\n", + "| 4 | Alternate trajectory | $q$ | X | X | `alt_route` | `None`, 1, 2 |\n", + "| 5 | Incident Management | $t_{accident}$ | | X | `incident_management` | 1%$-$100% |\n", + "| 6 | Accident Risk Reduction | $t_{accident}$ | | X | `accident_risk_reduction` |1%$-$100% |\n", + "| 7 | Modal Shift, Trucks | $q$ | X | X | `modal_shift_trucks` | 0%$-$20% |\n", + "| 8 | Modal Shift, Cars | $q$ | X | X | `modal_shift_cars` | 0%$-$20% |\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Method 1: BPR" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The expected travel time changes when the free-flow travel time ($t_0$), flow ($q$) and capacity $C$ are modified. The interventions listed above have been implemented as keyword arguments in the method `intervention_method_1`, illustrated with an example below the docstring:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Compute travel time with Method 1.\n", + " \n", + " Keyword arguments: q, alpha, beta, t_0, C.\n", + " Returns: travel time as float or array, depending on input.\n", + " \n" + ] + } + ], + "source": [ + "print(t.travel_time_method_1.__doc__)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The baseline travel time is 32.50 min\n", + "The travel time with an intervention is 28.17 min\n", + " (the difference is -4.33 min)\n" + ] + } + ], + "source": [ + "travel_time_baseline = t.travel_time_method_1()\n", + "travel_time_with_intervention = t.intervention_method_1(max_speed=150)\n", + "print(f'The baseline travel time is '\n", + " f'{travel_time_baseline:0.2f} min')\n", + "print(f'The travel time with an intervention is '\n", + " f'{travel_time_with_intervention:0.2f} min'\n", + " f'\\n (the difference is '\n", + " f'{travel_time_with_intervention - travel_time_baseline:.2f} min)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The Burr distribution can also be estimated for the same intervention using `plot_distribution_method_1`, which relies on `intervention_method_1`. Here it is set up with widgets to let you play with the effect of each intervention:" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```{note}\n", + "The widgets displayed on this page will not work in the website version, only when you use the `*.ipynb` file with a Python kernel (e.g., in Jupyter Notebook or Jupyter Lab).\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "7974564f725f4bb1ba9a4b1d8a221aca", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(Dropdown(description='1: Extra Lanes', options=(('None', None), ('1', 1), ('2', 2)), val…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from custom_widgets import method_1_interv_dist" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This function will compute the 95th percentile for the baseline parameter values:" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "42.5\n" + ] + } + ], + "source": [ + "print(f'{t.burr_ppf_with_int_1(0.95):.3}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The same function allows you to check out how the 95th percentile changes by applying interventions.\n", + "\n", + "*What interventions could you apply in order to meet the requirement for the trajectory?*\n" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "33.4\n" + ] + } + ], + "source": [ + "print(f'{t.burr_ppf_with_int_1(0.95,alt_route=1):.3}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Method 2: Delays\n", + "\n", + "Interventions for Method two have been implemented as keyword arguments in the method `intervention_method_2`, and can be used the same as with those for Methods 1, although there are 8 possible interventions instead of 5:" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Compute travel time with Method 2 (delays).\n", + " \n", + " Keyword arguments: t_accident, q, C, rCf, t_cutoff.\n", + " Returns: travel time as float or array, depending on input.\n", + " \n" + ] + } + ], + "source": [ + "print(t.travel_time_method_2.__doc__)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```{note}\n", + "The widgets displayed on this page will not work in the website version, only when you use the `*.ipynb` file with a Python kernel (e.g., in Jupyter Notebook or Jupyter Lab).\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "892aced71d0140a48243e07efbf54f4f", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(Dropdown(description='1: Extra Lanes', options=(('None', None), ('1', 1), ('2', 2)), val…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from custom_widgets import method_2_interv_dist" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Part 6. Cost-Benefit Analysis\n", + "\n", + "Now it's time for the fun part: coming up with an optimal design! It's easy to use the intervention functions introduced above to find a combination that gives a 95th percentile value that meets the requirement. However, in real life interventions cost money, and we will take that into account here using the costs specified in the table, which have also been implemented for you in the methods below, `benefit_cost_method_x`. These functions work with keyword arguments, just like the intervention functions above. With that, the assignment is simply:\n", + "\n", + "**Maximize the ratio of benefits to cost such that: 1) the maximum cost of 250 FCoins is not exceeded, and 2) the 95th percentile is less than $t_0+10$.** Your 'answer' should be in the form of a specific set of interventions (using keyword argument values), costs, benefit-cost ratio, and a short justification for how you came to the result.\n", + "\n", + "Although the assignment is simple, there are a few things to note, in particular: Method 1 and 2 are different, and *both* are simplified versions of reality. They will give you different results because they are different methods, not only because Method 2 includes more interventions. In addition, the costs are defined in terms of FCoins, which are not 'real' monetary units, and have not been scaled to reality; as such, the benefit-cost ratio will does not need to be greatere than 1 to be a viable project.\n", + "\n", + "| Intervention | Keyword Argument | Costs (FCoins) |\n", + "| :--- | :---: | :---: |\n", + "| New Alternative Route | `alt_trajectory` | --- |\n", + "| 1 lane | --- | 150 |\n", + "| 2 lanes | --- | 180 |\n", + "| New Lane | `extra_lane` | --- |\n", + "| 1 additional lane | --- | 70 |\n", + "| 2 additional lanes | --- | 100 |\n", + "| Create Hard Shoulder | `hard_shoulder` | 60 |\n", + "| Increase Max Speed | `max_speed` | 7/percent |\n", + "| Accident Risk Reduction | `accident_risk_reduction` | 5/percent |\n", + "| Incident Management | `incident_management` | 2/percent |\n", + "| Modal Shift Trucks | `modal_shift_trucks` | 5/percent |\n", + "| Modal Shift Cars | `modal_shift_cars` | 8/percent |\n", + "\n", + "NB: *the \"/percent\" cost is determined per percent change in the intervention basedo on the pre-intervention value. For example, changing the maximum speed from 130 to 140 km/hr is a +8% change, thus it would cost 56 FCoins*" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "from benefit_cost import benefit_cost_method_1\n", + "from benefit_cost import benefit_cost_method_2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "These functions compute the benefit to cost ratio, which you need to maximize without exceeding the total cost." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The benefit-cost ratio using Method 1 is: 0.095\n", + "Total cost for all interventions applied: 100.000 FCoins\n" + ] + } + ], + "source": [ + "BC1 = benefit_cost_method_1(modal_shift_trucks=20)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The benefit-cost ratio using Method 2 is: -0.058\n", + "Total cost for all interventions applied: 100.000 FCoins\n" + ] + } + ], + "source": [ + "BC2 = benefit_cost_method_2(modal_shift_trucks=20)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Good luck!" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13 (main, Aug 25 2022, 23:51:50) [MSC v.1916 64 bit (AMD64)]" + }, + "latex_envs": { + "LaTeX_envs_menu_present": true, + "autoclose": false, + "autocomplete": true, + "bibliofile": "biblio.bib", + "cite_by": "apalike", + "current_citInitial": 1, + "eqLabelWithNumbers": true, + "eqNumInitial": 1, + "hotkeys": { + "equation": "Ctrl-E", + "itemize": "Ctrl-I" + }, + "labels_anchors": false, + "latex_user_defs": false, + "report_style_numbering": false, + "user_envs_cfg": false + }, + "vscode": { + "interpreter": { + "hash": "85471ad55176ca86192ed6be6d105faaef73891404cad6bd910e89e8513744d9" + } + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": { + "0187e7214d8a445dbb5c831f13f34dd3": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "08f445fa1f7a42dab8956fa6ca209e16": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "0953d24691094e3d9b652d497901a09a": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "initial" + } + }, + "0bb275f5ec1542b5ae0ef636577f1b72": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "description_width": "" + } + }, + "100c0581cfc747c8af541fc9d5145845": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DropdownModel", + "state": { + "_options_labels": [ + "No alternate routes", + "1 alternate route", + "2 alternate routes" + ], + "description": "4: Alt. Routes ", + "index": null, + "layout": "IPY_MODEL_7f4e913978bd4d6f9657243f779f9850", + "style": "IPY_MODEL_58db643065bc4aa09ff04267189c6b52" + } + }, + "1087ad9b423d40ff9b9d0d0a4b24df42": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "initial" + } + }, + "22f1b77ee9c1494d92078b1300a98833": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "t_cutoff", + "layout": "IPY_MODEL_9b82df908c8b40248e3f065ede04b43b", + "max": 45, + "min": 20, + "step": 2.5, + "style": "IPY_MODEL_3573b71722c74a3c87daec00c719e7b7", + "value": 32.5 + } + }, + "23505dba595b426a86b5df0c759e9d3a": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "initial" + } + }, + "23783a41b3db4b2095ac7bcab87a74ae": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "2551df80a02445859a0ccd6fc548693a": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "26045de01f29405180b7e1b1434ce181": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "initial" + } + }, + "26c9d8ccf54242c0b94fb533b091b19d": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "29b615e502b74b62a274b74c7ca390c5": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "2cce8708af1d4a05a0524a12ed2132ad": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "7: Modal Shift, Trucks", + "layout": "IPY_MODEL_b0a6b79bf7bc49489632e3dc04c373fb", + "max": 20, + "step": 4, + "style": "IPY_MODEL_869499b6fbea4715b4fb5a8a63384f5c" + } + }, + "2d4a20417d044afcaf61f059716e5ebc": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "" + } + }, + "3385de2b8e114324919ed816877addf9": { + "model_module": "@jupyter-widgets/output", + "model_module_version": "1.0.0", + "model_name": "OutputModel", + "state": { + "layout": "IPY_MODEL_8ec2f013205f4c4797cb03608de966e9", + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": "<Figure size 640x480 with 1 Axes>" + }, + "metadata": {}, + "output_type": "display_data" + } + ] + } + }, + "3573b71722c74a3c87daec00c719e7b7": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "" + } + }, + "38cfb9ece79a4347a7bf1842d6ea3932": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "4542024c6c2b478eaef6d5ff81808e34": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DropdownModel", + "state": { + "_options_labels": [ + "No alternate routes", + "1 alternate route", + "2 alternate routes" + ], + "description": "4: Alt. Routes ", + "index": null, + "layout": "IPY_MODEL_eee3ad0fd45c47d5ab47454238d366a2", + "style": "IPY_MODEL_7f14219ee396472a8558de07bd7404e3" + } + }, + "49e2865e48e44c7d88ea961604260cbf": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ToggleButtonsStyleModel", + "state": { + "button_width": "", + "description_width": "" + } + }, + "4a4cb1653cd14b8ba63f5ce8b294857f": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "4c76dbfaddda4c84888c273562e48074": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "4cfc18f404d74f96a0f52738322a7e45": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "3: Speed", + "layout": "IPY_MODEL_503da8f079f941bc88d25fc2dc55a03c", + "max": 170, + "min": 1, + "step": 10, + "style": "IPY_MODEL_0953d24691094e3d9b652d497901a09a", + "value": 130 + } + }, + "4fefe5bdbf3f4be8bf2f032fddb4b8f7": { + "model_module": "@jupyter-widgets/output", + "model_module_version": "1.0.0", + "model_name": "OutputModel", + "state": { + "layout": "IPY_MODEL_853ac92d93bf4f1386363ef9d907c589", + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": "<Figure size 640x480 with 1 Axes>" + }, + "metadata": {}, + "output_type": "display_data" + } + ] + } + }, + "503da8f079f941bc88d25fc2dc55a03c": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "51bf0d7f0a8c441db6161ae646a407b7": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "52ddf983296042168eadf3ef742c3de1": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "description_width": "" + } + }, + "5587e0efb67f4453a7598ec815e422bb": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "57e3c907cb71406a8ccbb9b398698b8d": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "5806dda8eabb4e7d97f2e379167ce5d9": { + "model_module": "@jupyter-widgets/output", + "model_module_version": "1.0.0", + "model_name": "OutputModel", + "state": { + "layout": "IPY_MODEL_bb7a481065664052a1c2dd14393b571d", + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": "<Figure size 640x480 with 1 Axes>" + }, + "metadata": {}, + "output_type": "display_data" + } + ] + } + }, + "58db643065bc4aa09ff04267189c6b52": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "description_width": "" + } + }, + "58e9c96e989c453e80cc319cd1d6c542": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ToggleButtonsModel", + "state": { + "_options_labels": [ + "PDF", + "CDF", + "1-CDF" + ], + "button_style": "", + "description": "Plot Type:", + "icons": [], + "index": 0, + "layout": "IPY_MODEL_6d4615dd9d7b496ab3cad20962f2c95a", + "style": "IPY_MODEL_49e2865e48e44c7d88ea961604260cbf", + "tooltips": [] + } + }, + "5f1a83ad2b454d0f802985af20993727": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "CheckboxModel", + "state": { + "description": "2: Hard Shoulder", + "disabled": false, + "indent": false, + "layout": "IPY_MODEL_c02af5dbfda345779d1ed59ab7e606d5", + "style": "IPY_MODEL_a16439206a34479da22d97225c4220cb", + "value": false + } + }, + "6580aaf036a6475abc0c0832c04510fd": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "C", + "layout": "IPY_MODEL_2551df80a02445859a0ccd6fc548693a", + "max": 7000, + "min": 4000, + "step": 100, + "style": "IPY_MODEL_6b9a6dc442134d669865be4c3b5ff1dd", + "value": 5600 + } + }, + "69e3ec50096842f38c6f74081b2f5542": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "8: Modal Shift, Cars", + "layout": "IPY_MODEL_a9a413eef0ff44d3ade17141373257de", + "max": 20, + "step": 4, + "style": "IPY_MODEL_b9d80e0f8cc644829e3b5ea6cedcdd66" + } + }, + "6b9a6dc442134d669865be4c3b5ff1dd": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "" + } + }, + "6cd0a2b1a14342bd9651d2db5a05be10": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "" + } + }, + "6d4615dd9d7b496ab3cad20962f2c95a": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "75c1f539256c4115a4eb71ca610b6baf": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "description_width": "" + } + }, + "7974564f725f4bb1ba9a4b1d8a221aca": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "VBoxModel", + "state": { + "_dom_classes": [ + "widget-interact" + ], + "children": [ + "IPY_MODEL_a6366e489ea64c94b53a44cd90d3509b", + "IPY_MODEL_ac52d024453d4073a77795b4082f8fe5", + "IPY_MODEL_4542024c6c2b478eaef6d5ff81808e34", + "IPY_MODEL_2cce8708af1d4a05a0524a12ed2132ad", + "IPY_MODEL_69e3ec50096842f38c6f74081b2f5542", + "IPY_MODEL_9daea46dd3004ad2a39098dc8f0c4d83", + "IPY_MODEL_58e9c96e989c453e80cc319cd1d6c542", + "IPY_MODEL_3385de2b8e114324919ed816877addf9" + ], + "layout": "IPY_MODEL_29b615e502b74b62a274b74c7ca390c5" + } + }, + "7b28a775fe594b7d851b4a210e0eb11e": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "" + } + }, + "7dadfb09825746b39cfca7a47bcc2740": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "7: Modal Shift, Trucks", + "layout": "IPY_MODEL_aeeb304402b0462cb994598fa86e6796", + "max": 20, + "step": 4, + "style": "IPY_MODEL_23505dba595b426a86b5df0c759e9d3a" + } + }, + "7f14219ee396472a8558de07bd7404e3": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "description_width": "" + } + }, + "7f4e913978bd4d6f9657243f779f9850": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "80b5142c6fce447a96f3bdafaff94e14": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "initial" + } + }, + "83fd64cc893c429bae04c91ebe52209b": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "" + } + }, + "84b87cab5bd3437d955a7851dafdaf7f": { + "model_module": "@jupyter-widgets/output", + "model_module_version": "1.0.0", + "model_name": "OutputModel", + "state": { + "layout": "IPY_MODEL_b150edabeff74e6bb2994d402dca96cd", + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlIAAAG2CAYAAAC04mh6AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB1J0lEQVR4nO3deVxU9f7H8dcw7KsLCJiIS7kvKZppmZqG2aatZq7t3jJT61ZmXc17y+q2WN20PbNF7Ze2XLWSurmlbSZlamWJQgYiLqCyz5zfH8NMjKACDhyYeT8fj/OQ+c6Zcz6HAefN93zP91gMwzAQERERkWrzM7sAERERkYZKQUpERESkhhSkRERERGpIQUpERESkhhSkRERERGpIQUpERESkhhSkRERERGpIQUpERESkhhSkRERERGpIQUpERESkhkwPUvPmzaN169YEBweTlJTEunXrjrvusmXLuOCCC4iJiSEyMpK+ffvy6aefVlhv6dKldOrUiaCgIDp16sT7779/SvsVERERqYypQWrJkiVMmTKFGTNmsHnzZvr378+wYcNIT0+vdP21a9dywQUXsHLlSjZt2sSgQYO49NJL2bx5s2udjRs3MnLkSMaOHcsPP/zA2LFjueaaa/j6669rvF8RERGRyljMvGlxnz596NmzJ/Pnz3e1dezYkREjRjBnzpwqbaNz586MHDmSf/zjHwCMHDmSvLw8Pv74Y9c6F154IY0bN2bRokUe26+IiIiIv1k7Li4uZtOmTdx3331u7cnJyWzYsKFK27Db7Rw+fJgmTZq42jZu3MjUqVPd1hs6dChz5849pf0WFRVRVFTktu8DBw7QtGlTLBZLleoVERERcxmGweHDh2nevDl+fqd+Ys60IJWTk4PNZiM2NtatPTY2lqysrCpt48knn+To0aNcc801rrasrKwTbrOm+50zZw4PPfRQleoSERGR+i0jI4MWLVqc8nZMC1JOx/bmGIZRpR6eRYsWMWvWLD788EOaNWtW7W1Wd7/Tp09n2rRprse5ubm0bNmSjIwMIiMjT1qvNCA9esDOnQwFHv78c3r16nXi9b/7DgYP5g+gM/DNN9/Qvn37OihURESqKy8vj4SEBCIiIjyyPdOCVHR0NFartUIvUHZ2doXeomMtWbKEG2+8kf/7v/9jyJAhbs/FxcWdcJs13W9QUBBBQUEV2iMjIxWkvFjjxo1P/v6WhaZ2OK7eyMvL08+EiEg956lhOaZdtRcYGEhSUhIpKSlu7SkpKfTr1++4r1u0aBETJkzgnXfe4eKLL67wfN++fStsc9WqVa5t1nS/4kNKSwGw4fh5Oam4OLBa8QdigT179tRmdSIiUo+Yempv2rRpjB07ll69etG3b19eeukl0tPTmThxIuA4nbZnzx4WLlwIOELUuHHjeOaZZzj77LNdvUohISFERUUBcOedd3Leeefx2GOPMXz4cD788EM+++wz1q9fX+X9io+z2QAopYpBymqF5s0hI4MWwJ9//lmr5YmISP1hapAaOXIk+/fvZ/bs2WRmZtKlSxdWrlxJYmIiAJmZmW5zO7344ouUlpZy++23c/vtt7vax48fz4IFCwDo168fixcv5oEHHuDBBx+kbdu2LFmyhD59+lR5v+LjyvVIBQQEVO01LVpARgYJqEdKRMSXmDqPVEOWl5dHVFQUubm5Gg/jbWJiICeHzkDKnj00b9785K8ZORLefZc7gYzLL2fZsmW1XaVIrbPZbJSUlJhdhki1BAQEYLVaj/u8pz+/Tb9qT6S+MUpLsVCNMVLg6JECEoCvdWpPGjjDMMjKyuLQoUNmlyJSI40aNSIuLq5O5nlUkBI5VnXHSIErSLVAp/ak4XOGqGbNmhEaGqpJh6XBMAyD/Px8srOzAYiPj6/1fSpIiRyrulftASQkAI4glZmZid1u98iMuSJ1zWazuUJU06ZNzS5HpNpCQkIAx7RGzZo1O+FpPk/Q//QixyrXI1WtweY4Tu3ZbDbXX0MiDY1zTFRoaKjJlYjUnPPnty7G+ClIiRyrrEfKsFiq/pdMWZBqjuOXSlMgSEOn03nSkNXlz6+ClEh5hoHFbgfAWtXTegDx8WC1EoAm5RQR8SUKUiLllYUoAEtVT+uBY1LOskGNGnAu4rtatWrF3LlzXY8tFgsffPCBafVI7VOQEimv7LQeVLNHCtwGnOvUnkjdmzBhAhaLxbU0bdqUCy+8kB9//NG0mjIzMxk2bJhp+5fapyAlUl7ZQHOoZo8UuA04V4+UiDkuvPBCMjMzyczM5PPPP8ff359LLrnEtHri4uIqveG9eA8FKZHyTqVHqtxcUuqREjFHUFAQcXFxxMXFceaZZ3LvvfeSkZHBvn37ALj33ntp164doaGhtGnThgcffNDtyq4ffviBQYMGERERQWRkJElJSXz33Xeu5zds2MB5551HSEgICQkJTJ48maNHjx63nvKn9nbt2oXFYmHZsmUMGjSI0NBQunfvzsaNG91eU919iLkUpETKK9cjZa3uX5Flp/bUIyXexjAMjh49aspyKncxO3LkCG+//Tann366a06siIgIFixYwLZt23jmmWd4+eWXefrpp12vGT16NC1atODbb79l06ZN3Hfffa5pULZs2cLQoUO54oor+PHHH1myZAnr169n0qRJ1aprxowZ3H333aSmptKuXTtGjRpFadkfcZ7ah9QhQ2okNzfXAIzc3FyzSxFPys42DDAMMLp06lS91777rmGAsQ6MJk2a1E59IrWsoKDA2LZtm1FQUOBqO3LkiAGYshw5cqTKtY8fP96wWq1GWFiYERYWZgBGfHy8sWnTpuO+5vHHHzeSkpJcjyMiIowFCxZUuu7YsWONW265xa1t3bp1hp+fn+v7lZiYaDz99NOu5wHj/fffNwzDMNLS0gzAeOWVV1zPb9261QCM7du3V3kfcnKV/Rw7efrzWz1SIuWV9UjZgYDq9kiVO7V34MABCgsLPVubiJzUoEGDSE1NJTU1la+//prk5GSGDRvG7t27AXjvvfc499xziYuLIzw8nAcffJD09HTX66dNm8ZNN93EkCFDePTRR/n9999dz23atIkFCxYQHh7uWoYOHYrdbictLa3KNXbr1s31tfMWJs5JfD21D6k7ukWMSHnlbg9T5VnNncpO7Z3GX5NytmnTxqPliZghNDSUI0eOmLbv6ggLC+P00093PU5KSiIqKoqXX36ZSy65hGuvvZaHHnqIoUOHEhUVxeLFi3nyySdd68+aNYvrrruOFStW8PHHHzNz5kwWL17M5Zdfjt1u59Zbb2Xy5MkV9tuyZcsq11j+/xbnxJH2sqlXPLUPqTsKUiLl1eSGxU5xceDnR4DdTjMUpMR7WCwWwsLCzC6jRiwWC35+fhQUFPDll1+SmJjIjBkzXM87e6rKa9euHe3atWPq1KmMGjWK119/ncsvv5yePXuydetWt6DmaXWxD/EsndoTKa8mNyx28vd3TcqpAeci5igqKiIrK4usrCy2b9/OHXfcwZEjR7j00ks5/fTTSU9PZ/Hixfz+++88++yzvP/++67XFhQUMGnSJFavXs3u3bv58ssv+fbbb+nYsSPguOJv48aN3H777aSmprJjxw4++ugj7rjjDo/VXxf7EM9Sj5RIeafSIwWO03t79mh2cxGTfPLJJ65xRxEREXTo0IH/+7//Y+DAgQBMnTqVSZMmUVRUxMUXX8yDDz7IrFmzALBarezfv59x48axd+9eoqOjueKKK3jooYcAx9imNWvWMGPGDPr3749hGLRt25aRI0d6rP662Id4lsUwTuHaUh+Wl5dHVFQUubm5REZGml2OeMr27dCpE/uBGy67jA8//LB6r7/6anjvPSYD/lOn8tRTT9VGlSK1prCwkLS0NFq3bk1wcLDZ5YjUyIl+jj39+a1TeyLlncpgc3CbS6r8lUAiIuKdFKREyjvVU3vlpkDIyMjwXF0iIlIvKUiJlHcqg83BLUipR0pExPspSImU54nB5jhO7WVlZVFUVOS52kREpN5RkBIpz0M9UqcBFnTlnoiIt1OQEimvXI9UjQabx8c7JuUEYtHpPRERb6cgJVLeqfZIlZuUUwPORUS8n4KUSHmnOkYKNOBcRMSHKEiJlHeqPVLgClIJqEdKRMTbKUiJlOeJHqnERMc/qEdKxBsNHDiQKVOmeHy7s2bN4swzz/T4dgH+97//0aFDB+x2u8e3vXr1aiwWC4cOHfL4tiuzfPlyevToUSvHUhMKUiLlnerM5gCtWgHQGvVIidSlCRMmYLFYmDhxYoXnbrvtNiwWCxMmTKjy9uo6IJzMDz/8wKhRo0hISCAkJISOHTvyzDPPVOm199xzDzNmzMDPz/Gxv2DBAiwWCxaLBavVSuPGjenTpw+zZ88mNze3Ng/jlF1yySVYLBbeeecds0sBFKRE3HmiR6p1a8c/qEdKpK4lJCSwePFiCgoKXG2FhYUsWrSIli1bmljZqdu0aRMxMTG89dZbbN26lRkzZjB9+nT+85//nPB1GzZsYMeOHVx99dVu7ZGRkWRmZvLHH3+wYcMGbrnlFhYuXMiZZ57Jn3/+WZuHcsquv/56nnvuObPLABSkRNyVBalTGiNVFqRa4bg5Zn3/607Em/Ts2ZOWLVuybNkyV9uyZctISEigR48ebusahsHjjz9OmzZtCAkJoXv37rz33nsA7Nq1i0GDBgHQuHHjCr1Zdrude+65hyZNmhAXF8esWbPctp2ens7w4cMJDw8nMjKSa665hr1797qt8+ijjxIbG0tERAQ33ngjhYWFJzy2G264gWeffZYBAwbQpk0bxowZw/XXX+92rJVZvHgxycnJFW7ea7FYiIuLIz4+no4dO3LjjTeyYcMGjhw5wj333FOl71Nl9u/fz6hRo2jRogWhoaF07dqVRYsWuZ5fuHAhTZs2rTBh8ZVXXsm4ceMAR+/boEGDiIiIIDIykqSkJL777jvXupdddhnffPMNO3fuPOGx1wUFKZHyPDHYvGyMVGMgCp3eEy9gGHD0qDmLYVS73Ouvv57XX3/d9fi1117jhhtuqLDeAw88wOuvv878+fPZunUrU6dOZcyYMaxZs4aEhASWLl0KwC+//EJmZqbbabQ33niDsLAwvv76ax5//HFmz55NSkpK2bfLYMSIERw4cIA1a9aQkpLC77//zsiRI12vf/fdd5k5cyYPP/ww3333HfHx8cybN6/ax5qbm0uTJk1OuM7atWvp1atXlbbXrFkzRo8ezUcffYSt7A/LE32fKlNYWEhSUhLLly/np59+4pZbbmHs2LF8/fXXAFx99dXYbDY++ugj12tycnJYvnw5119/PQCjR4+mRYsWfPvtt2zatIn77rvPbbhFYmIizZo1Y926dVU6rlplSI3k5uYagJGbm2t2KeJJCxcaBhifgPH222/XfDsxMYYBxplgrFy50nP1idSygoICY9u2bUZBQcFfjUeOGIYj0tT9cuRIlWsfP368MXz4cGPfvn1GUFCQkZaWZuzatcsIDg429u3bZwwfPtwYP3582SEdMYKDg40NGza4bePGG280Ro0aZRiGYXzxxRcGYBw8eNBtnQEDBhjnnnuuW1vv3r2Ne++91zAMw1i1apVhtVqN9PR01/Nbt241AOObb74xDMMw+vbta0ycONFtG3369DG6d+9e5ePdsGGDERAQYKxateqE60VFRRkLFy50a3v99deNqKioStefP3++ARh79+49pe9TeRdddJFx1113uR7/7W9/M4YNG+Z6PHfuXKNNmzaG3W43DMMwIiIijAULFpzwuHr06GHMmjWr0ucq/Tku4+nPb38TM5xI/eOJwebgGHC+bx+t0DgpkboWHR3NxRdfzBtvvIFhGFx88cVER0e7rbNt2zYKCwu54IIL3NqLi4srnAKsTLdu3dwex8fHk52dDcD27dtJSEggoezemwCdOnWiUaNGbN++nd69e7N9+/YKg+L79u3LF198UaVj3Lp1K8OHD+cf//hHhWM4VkFBQYXTeidilPUCWiyWGn2fbDYbjz76KEuWLGHPnj0UFRVRVFREWFiYa52bb76Z3r17s2fPHk477TRef/1118UCANOmTeOmm27izTffZMiQIVx99dW0bdvWbT8hISHk5+dX+bhqi4KUSHmeGGwOjnFS336rAefiHUJD4cgR8/ZdAzfccAOTJk0C4Pnnn6/wvPPS+RUrVnDaaae5PRcUFHTS7R/7h5bFYnFt0zAMVyAo73jt1bVt2zbOP/98br75Zh544IGTrh8dHc3BgwervP3t27cTGRlJ06ZNXWOQqvN9evLJJ3n66aeZO3cuXbt2JSwsjClTplBcXOxap0ePHnTv3p2FCxcydOhQtmzZwn//+1/X87NmzeK6665jxYoVfPzxx8ycOZPFixdz+eWXu9Y5cOAAMTExVT6u2mL6GKl58+bRunVrgoODSUpKOuH5zszMTK677jrat2+Pn59fpfN4DBw40HVJZ/nl4osvdq0za9asCs/HxcXVxuFJQ+OJMVLgNuBcY6SkwbNYICzMnKWGwePCCy+kuLiY4uJihg4dWuH5Tp06ERQURHp6Oqeffrrb4uxJcv4f4BwrVFWdOnUiPT3d7Xd/27Zt5Obm0rFjRwA6duzIV1995fa6Yx9XZuvWrQwaNIjx48fz8MMPV6meHj16sG3btiqtm52dzTvvvMOIESPw8/Or0vfpWOvWrWP48OGMGTOG7t2706ZNG3bs2FFhvZtuuonXX3+d1157jSFDhlTYXrt27Zg6dSqrVq3iiiuucBv3VlhYyO+//16l3sPaZmqP1JIlS5gyZQrz5s3jnHPO4cUXX2TYsGFs27at0stUi4qKiImJYcaMGTz99NOVbnPZsmVuqXf//v107969wmWfnTt35rPPPnM9tlqtHjoqadA81SNVbi6pZeqREqlzVquV7du3u74+VkREBHfffTdTp07Fbrdz7rnnkpeXx4YNGwgPD2f8+PEkJiZisVhYvnw5F110ESEhIYSHh59030OGDKFbt26MHj2auXPnUlpaym233caAAQNcg77vvPNOxo8fT69evTj33HN5++232bp1K23atDnudp0hKjk5mWnTppGVleU6vhP1zAwdOpQ33nijQrthGGRlZWEYBocOHWLjxo088sgjREVF8eijj1b5+3Ss008/naVLl7JhwwYaN27MU089RVZWlitEOo0ePZq7776bl19+mYULF7raCwoK+Pvf/85VV11F69at+eOPP/j222+58sorXet89dVXBAUF0bdv3+Med53xyEirGjrrrLMqDLbr0KGDcd999530tQMGDDDuvPPOk6739NNPGxEREcaRcgMWZ86cWa0BfZXRYHMvNXeuYYCxCIy1a9fWfDuffGIYYGwBo02bNp6rT6SWnWiQbn3nHGx+POUHmxuGYdjtduOZZ54x2rdvbwQEBBgxMTHG0KFDjTVr1rjWmT17thEXF2dYLBbXayv7/Dl227t37zYuu+wyIywszIiIiDCuvvpqIysry+01Dz/8sBEdHW2Eh4cb48ePN+65554TfjbNnDnTACosiYmJJ/y+HDhwwAgJCTF+/vlnV9vrr7/uer3FYjGioqKMs846y5g9e3aFz7WTfZ+OHWy+f/9+Y/jw4UZ4eLjRrFkz44EHHjDGjRtX6XszduxYo0mTJkZhYaGrraioyLj22muNhIQEIzAw0GjevLkxadIkt5/JW265xbj11luPe8x1OdjctCBVVFRkWK1WY9myZW7tkydPNs4777yTvr6qQapLly7GzTff7NY2c+ZMIzQ01IiPjzdatWpljBw50vj9999PuJ3CwkIjNzfXtWRkZChIeaMnnzQMMN4E46uvvqr5dn75xTDAOAxGgL+/YbPZPFejSC1qyEFKju/vf/+7ccstt5hdRgVDhgwx7rjjjmq9Jjs722jSpImxc+fO465Tl0HKtDFSOTk52Gw2YmNj3dpjY2Nd3ZWn6ptvvuGnn37ipptucmvv06cPCxcu5NNPP+Xll18mKyuLfv36sX///uNua86cOURFRbmW450blgbOU1ftlZ2aDgeiSktdV/OIiJhhxowZJCYmVnu8V205cOAAixcv5n//+x+33357tV6blpbmGl9dH5h+1d6xVzAYHrqqAeDVV1+lS5cunHXWWW7tw4YNc33dtWtX+vbtS9u2bXnjjTeYNm1apduaPn2623N5eXkKU97IU2OkgoOheXP480/XlXu6oEFEzBIVFcX9999vdhkuPXv25ODBgzz22GO0b9++Wq8966yzKnyum8m0IBUdHY3Vaq3Q+5SdnV2hl6om8vPzWbx4MbNnzz7pumFhYXTt2rXSqwqcgoKCqnRJrDRwnrhFjFPr1vDnn64r9+rTL76IiJl27dpldgkeY9qpvcDAQJKSklxT6julpKTQr1+/U97+u+++S1FREWPGjDnpukVFRWzfvp34+PhT3q80cJ6a/gDcrtzTXFIiIt7J1FN706ZNY+zYsfTq1Yu+ffvy0ksvkZ6e7prtdfr06ezZs8ftssjU1FQAjhw5wr59+0hNTSUwMJBOnTq5bfvVV19lxIgRNG3atMJ+7777bi699FJatmxJdnY2//rXv8jLy6v0Mk7xMZ46tQduc0nt0FxS0sAYNbjHnUh9UZc/v6YGqZEjR7J//35mz55NZmYmXbp0YeXKlSSW3fQ1MzOzwl/y5Sff2rRpE++88w6JiYlu3YS//vor69evZ9WqVZXu948//mDUqFHk5OQQExPD2WefzVdffeXar/guo6QECx4YbA5uPVKfq0dKGgjnz31+fj4hISEmVyNSM85bx5zy/+NVYPpg89tuu43bbrut0ucWLFhQoa0qKbNdu3YnXG/x4sVVrk98i62kBH882yPVGs1uLg2H1WqlUaNGritNQ0NDPXYBkEhtMwyD/Px8srOzadSoUZ1Mtm16kBKpT+xFRYAHB5sDiUDG7t2nti2ROuS8wlTTdkhD1ahRozq7UlpBSqQcW0kJ4KEeqRYtMPz8CLbbYe9eioqKdOWnNAgWi4X4+HiaNWtGSdnvhEhDERAQUKe3fVOQEinH2SNlxwP3XwwIgIQE2L2b1sCePXtOeB8tkfrGarXqPqQiJ2Ha9Aci9ZG9bPoDw0MfHpZyV+5pCgQREe+jICVSjr242PGFp/4KL3flngaci4h4HwUpkXKMsvEghr+HznqXu3JPPVIiIt5HQUqkHHtZkLJ4uEeqFeqREhHxRgpSIuU4e6RQj5SIiFSBgpRIOUbZYHOPjZEqC1IJwJ8KUiIiXkdBSqQc16k9T/VIxcdjBAQQAJRqUk4REa+jICVSjqtHylNBymrFaNkSgOgjR8jNzfXMdkVEpF5QkBIpz9kj5cEbXfqVTcLZCg04FxHxNgpSIuU4e6Q8dmoPNJeUiIgXU5ASKa82gpSu3BMR8VoKUiLlGDYb4NlTe+Xnktq1a5fntisiIqZTkBIpr6xHys+TQapcj9TOnTs9t10RETGdgpRIebXRI1UWpE4D0n/7zXPbFRER0ylIiZRjqY0eqWbNsAcH4weU/P6757YrIiKmU5ASKa82eqQsFkhMBKBxbi6HDh3y3LZFRMRUClIi5dntAFgDAz26Wb+2bQHHgPO0tDSPbltERMyjICVSjqWsR8rPw0HKOU6qLfC7Tu+JiHgNBSmR8pxBypOn9gDOOMPxD7pyT0TEmyhIiZTjVxakPH1qj3btHP+gICUi4k0UpETKsZSNkfL4qb2yHqnTgTSd2hMR8RoKUiLlWGppsDmtWmG3WgkB8n/91bPbFhER0yhIiZTjClJBQZ7dsL8/trIpEEL++IPSsvmqRESkYVOQEinHr7aCFODfsSMAbe12MjIyPL59ERGpewpSIuU4g5R/LQQpS9mAc125JyLiPRSkRMrxMwygFsZIga7cExHxQgpSIuW4glQt9EhpLikREe+jICVSjqUWT+05e6TaAGk7dnh++yIiUucUpETKsZb1SPkHB3t+46edhi0wkACg8OefPb99ERGpcwpSIuU4T+0F1EaQ8vOjpGwKhMDduz2/fRERqXMKUiJOhoF/2Ze1MkaKv6ZAiD9yhIMHD9bKPkREpO4oSIk4lY2PglrqkQL8O3UCHFfupaWl1co+RESk7pgepObNm0fr1q0JDg4mKSmJdevWHXfdzMxMrrvuOtq3b4+fnx9TpkypsM6CBQuwWCwVlsLCwhrvV3xEudnGa2WwObhdufe77rknItLgmRqklixZwpQpU5gxYwabN2+mf//+DBs2jPT09ErXLyoqIiYmhhkzZtC9e/fjbjcyMpLMzEy3JbhcD0N19ys+wmZzfRkQElI7+9BcUiIiXsXUIPXUU09x4403ctNNN9GxY0fmzp1LQkIC8+fPr3T9Vq1a8cwzzzBu3DiioqKOu12LxUJcXJzbcir7FR9Rrkeqtk7tOXukWgLpunmxiEiDZ1qQKi4uZtOmTSQnJ7u1Jycns2HDhlPa9pEjR0hMTKRFixZccsklbN68uU72Kw1cXfRINWtGcUgIfkDhtm21sw8REakzpgWpnJwcbDYbsbGxbu2xsbFkZWXVeLsdOnRgwYIFfPTRRyxatIjg4GDOOeccdpRNgFjT/RYVFZGXl+e2iJepix4pi4Wili0d+9BgcxGRBs/0weYWi8XtsWEYFdqq4+yzz2bMmDF0796d/v378+6779KuXTuee+65U9rvnDlziIqKci0JCQk1rlHqqbIeKTsQWFtBCrB26ABAVHY2JSUltbYfERGpfaYFqejoaKxWa4VeoOzs7Aq9RafCz8+P3r17u3qkarrf6dOnk5ub61oyMjI8VqPUE2VBygYE1sZNi8uEdOsGwOmGoZ8jEZEGzrQgFRgYSFJSEikpKW7tKSkp9OvXz2P7MQyD1NRU4uPjT2m/QUFBREZGui3iXYyy3qFSajdIWdq3B3TzYhERb+B/8lVqz7Rp0xg7diy9evWib9++vPTSS6SnpzNx4kTA0Qu0Z88eFi5c6HpNamoq4BhQvm/fPlJTUwkMDKRT2USHDz30EGeffTZnnHEGeXl5PPvss6SmpvL8889Xeb/im0oKCwmk9nuknFfutQOWK0iJiDRopgapkSNHsn//fmbPnk1mZiZdunRh5cqVJJbdjywzM7PC3E49evRwfb1p0ybeeecdEhMT2bVrFwCHDh3illtuISsri6ioKHr06MHatWs566yzqrxf8U0lBQUEUtYjFRBQezsqC1LNgT9082IRkQbNYhhld2mVasnLyyMqKorc3Fyd5vMShzZupFG/fuwHokpK8Pevvb8z8sPDCT16lL8PHsy/P/us1vYjIiLuPP35bfpVeyL1RWnZbYRsgNVqrdV9FbZoAYBVp/ZERBo0BSmRMiVlQaqUitNjeJqlbAqE8MzMWt2PiIjULgUpkTK2oiIA7LUcogDCzjwTgITCQg4ePFjr+xMRkdqhICVSxtkjZauDIBXYuTOgmxeLiDR0ClIiZZxjpOqiR8p55d4ZwO+//177+xMRkVqhICVSprTs1F5d9Ehx+ukARAN7tmyp/f2JiEitUJASKeMcI2X41cGvRXg4eRERABzZvLn29yciIrVCQUqkjK24GKijU3tAYcuWjv1qUk4RkQZLQUqkjPPUnr0ueqQAa8eOAIT/8QeaF1dEpGFSkBIpY6vjIBVRdtuiNkVFZGdn18k+RUTEsxSkRMo4T+3VyRgpILBsLqnOwC+//FIn+xQREc9SkBIpU9c9UpTNJXU6sENX7omINEgKUiJl7CUlji/qKkjFx5MfFIQVOPjVV3WzTxER8SgFKZEydX1qD4uF3LKbF9vVIyUi0iApSImUsTuDlNVaZ/s0OnUCIHz37jrbp4iIeI6ClEgZM4JUeJ8+ADQ/dIjCslvUiIhIw6EgJVLGeWqPOgxSEWVBqjOwY8eOOtuviIh4hoKUSBnDOdi8DoOUpUsXANoAv/74Y53tV0REPENBSqSM86q9ujy1R2wsR8qu3DuwYUPd7VdERDxCQUqkjGv6A3//utupxcLB+HgASlJT626/IiLiEQpSImXMOLUHUNquHQDBO3fW6X5FROTUKUiJlLGXlgJgqcseKSC0d28AYvft082LRUQaGAUpESczTu0BTfr3B6C9zcaff/5Zp/sWEZFToyAlUsYo65Gq6yAVUHbz4jbArxonJSLSoChIiZRxjpGq61N7NGtGXmAgfkD2unV1u28RETklClIiZZw9UpaAgLrdscVCTrNmABRt2lS3+xYRkVOiICXiVBak/Oq6RwooOv10AAJ/+63O9y0iIjWnICXiZLMBJvRIAUE9ewLQNCurzvctIiI1pyAl4mTS9AcATc87D4A2hYUcOXKkzvcvIiI1oyAlUsZw9kgFBtb5vqP69QOgNbDjhx/qfP8iIlIzClIiTiaOkSImhkP+/vgBWatX1/3+RUSkRhSkRMpYynqk/EzokQLYGx0NQMG335qyfxERqT4FKREnux0APxMGmwMUtGkDgPXnn03Zv4iIVJ+ClEgZs3uk/Lt3B6CxbhMjItJgKEiJlDE7SDU65xwAWh45gr2sd0xEROo3BSmRMs4gZTUpSMUNHgxAK8MgY/t2U2oQEZHqMT1IzZs3j9atWxMcHExSUhLrTnCvsczMTK677jrat2+Pn58fU6ZMqbDOyy+/TP/+/WncuDGNGzdmyJAhfPPNN27rzJo1C4vF4rbExcV5+tCkgbGU9QKZFaT84+LYb7UCsOezz0ypQUREqsfUILVkyRKmTJnCjBkz2Lx5M/3792fYsGGkp6dXun5RURExMTHMmDGD7mXjSY61evVqRo0axRdffMHGjRtp2bIlycnJ7Nmzx229zp07k5mZ6Vq2bNni8eOThsUVpIKCTKvhzyZNADj89dem1SAiIlVnapB66qmnuPHGG7npppvo2LEjc+fOJSEhgfnz51e6fqtWrXjmmWcYN24cUVFRla7z9ttvc9ttt3HmmWfSoUMHXn75Zex2O59//rnbev7+/sTFxbmWmJgYjx+fNCxm90gBHG3VylGLgr2ISINgWpAqLi5m06ZNJCcnu7UnJyezYcMGj+0nPz+fkpISmpT9pe+0Y8cOmjdvTuvWrbn22mvZuXPnCbdTVFREXl6e2yLexc85/YGJQcq/Vy8AmuzebVoNIiJSdaYFqZycHGw2G7GxsW7tsbGxZHnwxq333Xcfp512GkOGDHG19enTh4ULF/Lpp5/y8ssvk5WVRb9+/di/f/9xtzNnzhyioqJcS0JCgsdqFPMZhoGfYQDgb+KpvZiyPyzaHj6MrWymdRERqb9MH2xusVjcHhuGUaGtph5//HEWLVrEsmXLCA4OdrUPGzaMK6+8kq5duzJkyBBWrFgBwBtvvHHcbU2fPp3c3FzXkpGR4ZEapX4oKSnBeWMYM0/ttRg6lGKgMbB77VrT6hARkaoxLUhFR0djtVor9D5lZ2dX6KWqiSeeeIJHHnmEVatW0a1btxOuGxYWRteuXdmxY8dx1wkKCiIyMtJtEe9RXFyMtexr/3Khu65ZQ0JICw0FIOvjj02rQ0REqsa0IBUYGEhSUhIpKSlu7SkpKfTr1++Utv3vf/+bf/7zn3zyySf0KhtzciJFRUVs376d+Pj4U9qvNFwlJSV/BSkTT+0B7DvtNACKdeWeiEi9Z8Jt7v8ybdo0xo4dS69evejbty8vvfQS6enpTJw4EXCcTtuzZw8LFy50vSY1NRWAI0eOsG/fPlJTUwkMDKRTp06A43Tegw8+yDvvvEOrVq1cPV7h4eGEh4cDcPfdd3PppZfSsmVLsrOz+de//kVeXh7jx4+vw6OX+qS4uNj1y2DmYHOA0m7dYMcOwn791dQ6RETk5EwNUiNHjmT//v3Mnj2bzMxMunTpwsqVK0lMTAQcE3AeO6dUjx49XF9v2rSJd955h8TERHbt2gU4JvgsLi7mqquucnvdzJkzmTVrFgB//PEHo0aNIicnh5iYGM4++2y++uor137F95Q/tWfxN/XXgqgBA2DpUlrk5Jhah4iInJzFMMouVZJqycvLIyoqitzcXI2X8gK///47B08/nV4AK1bARReZVsuB3btp1KoVfkDejh1Enn66abWIiHgbT39+m37Vnkh9UL5HCqv1RKvWuiaJiaSV9YplfPSRqbWIiMiJKUiJ4D79ASaf2gP4o2ym/cOaAkFEpF5TkBKhfvVIAeS3bw+A/08/mVyJiIiciIKUCO5X7dWHIBV89tkANDvmZtsiIlK/KEiJcEyPVD04tRdfNti9ZWEh9txck6sREZHjqVGQWrBgAfn5+Z6uRcQ09a1Hqu3ZZ/NH2ddZn35qai0iInJ8NQpS06dPJy4ujhtvvJENGzZ4uiaROld+ZvP60CMVEBDA72WX5eYcM/u/iIjUHzUKUn/88QdvvfUWBw8eZNCgQXTo0IHHHnuswn3zRBqK+jbYHOBgq1YA2DdtMrcQERE5rhoFKavVymWXXcayZcvIyMjglltu4e2336Zly5ZcdtllfPjhh9jtdk/XKlJr3E7t1YMeKQBL2Sz+jXbuNLkSERE5nlMebN6sWTPOOecc+vbti5+fH1u2bGHChAm0bduW1atXe6BEkdpXH3ukmgweDMBpublQVGRyNSIiUpkaB6m9e/fyxBNP0LlzZwYOHEheXh7Lly8nLS2NP//8kyuuuEI3AZYGoz72SLW74AIOAAFAwXffmV2OiIhUokZB6tJLLyUhIYEFCxZw8803s2fPHhYtWsSQIUMACAkJ4a677iIjI8OjxYrUFrfB5vWkRyo2Lo6tAQEAZH78scnViIhIZWr0p3ezZs1Ys2YNffv2Pe468fHxpKWl1bgwkbpUH3ukALLi4yE9nQJdHSsiUi/VqEdqwIAB9OzZs0J7cXExCxcuBMBisZCYmHhq1YnUkfo4RgqguEsXAEJ+/tnkSkREpDI1ClLXX389uZXMtnz48GGuv/76Uy5KpK4VFxXVyx6p8HPPBSB+716w2UyuRkREjlWjIGUYBhaLpUL7H3/8QVRU1CkXJVLXSspfFVePeqQSk5PJB0LsdowdO8wuR0REjlGtP7179OiBxWLBYrEwePBg/Mv95W6z2UhLS+PCCy/0eJEitc1WT4NUxy5dSAX6AAc+/5ymHTqYXJGIiJRXrSA1YsQIAFJTUxk6dCjh4eGu5wIDA2nVqhVXXnmlRwsUqQul5YNUPTq1FxQURFrjxvQ5eJDczz+n6e23m12SiIiUU61PjJkzZwLQqlUrRo4cSXBwcK0UJVLXSutpjxTAwXbt4OuvCfj+e7NLERGRY9RojNT48eMVosSr2OppjxRA4HnnAdAsIwNKSkyuRkREyqtykGrSpAk5OTkANG7cmCZNmhx3EWlo6nOP1OnDhnEACLLb4ccfzS5HRETKqfKf3k8//TQRERGuryu7ak+kobIXFwNgWCxY/E75FpQe1bNXL9YDw4C8VauITEoyuyQRESlT5SBV/r55EyZMqI1aREzj7JGyWyzUr/4oiIiIYGdMDOzb5whS06ebXZKIiJSpcpDKy8ur8kYjIyNrVIyIWVw9UvXstJ5T4ZlnQkoKIT/8YHYpIiJSTpWDVKNGjU56Os85UadNMzBLA1PqDFL17LSeU6PkZEhJoenBg5CTA9HRZpckIiJUI0h98cUXtVmHiKnsZaf26muPVPeBA9kOdASMr77CcsklZpckIiJUI0gNGDCgNusQMZW9bFqB+toj1a1bNxb5+dHRbufgJ5/QREFKRKReqHKQ+vHHH+nSpQt+fn78eJJLsLt163bKhYnUpfo+RiowMJDMli1h1y6K16wxuxwRESlT5SB15plnkpWVRbNmzTjzzDOxWCwYhlFhPY2RkobI2SNV3+aQKs/o0wd27aLRr7+CzVavaxUR8RVVDlJpaWnExMS4vhbxJs4eKerpqT2A05KTObJkCeHFxfDzz9C5s9kliYj4vCoHqcTExEq/FvEGrjFS9ez2MOX17tuXb4FBgO3LL7EqSImImK7Gf37/8ssvTJo0icGDBzNkyBAmTZrEL7/84snaROqMvbQUAEs9Pl3Wvn17vg8MBCD3009NrkZERKCGQeq9996jS5cubNq0ie7du9OtWze+//57unTpwv/93/95ukaRWmc4T+3V4x4pPz8/DrZr53jw9dfmFiMiIkA1Tu2Vd8899zB9+nRmz57t1j5z5kzuvfderr76ao8UJ1JXjLIeqfo+gDvovPPgp59otGcP5OWB7iIgImKqGvVIZWVlMW7cuArtY8aMISsr65SLEqlrhvOqvYAAcws5iY6DBpFG2S/ut9+aXI2IiNQoSA0cOJB169ZVaF+/fj39+/ev1rbmzZtH69atCQ4OJikpqdLtOmVmZnLdddfRvn17/Pz8mDJlSqXrLV26lE6dOhEUFESnTp14//33T2m/4v2cg80t9fjUHsBZZ53FV2Vfl6xfb2otIiJSjSD10UcfuZbLLruMe++9l0mTJvHWW2/x1ltvMWnSJO677z4uv/zyKu98yZIlTJkyhRkzZrB582b69+/PsGHDSE9Pr3T9oqIiYmJimDFjBt27d690nY0bNzJy5EjGjh3LDz/8wNixY7nmmmv4utyYkuruV7yfpWzus/oepBISEtgaHg7AkVWrTK5GREQsRmWzalbCr4rz61RnQs4+ffrQs2dP5s+f72rr2LEjI0aMYM6cOSd87cCBAznzzDOZO3euW/vIkSPJy8vj448/drVdeOGFNG7cmEWLFp3yfp3y8vKIiooiNzeXSI1TadAMw2CEnx8fAiVJSQR8953ZJZ3QtHPO4akNGygICyPk8GE4yc3ERUTkL57+/K5yj5Tdbq/SUtUQVVxczKZNm0hOTnZrT05OZsOGDdU7inI2btxYYZtDhw51bbOm+y0qKiIvL89tEe9QWlr611UX9XyMFEDTwYMpAkKOHoXffze7HBERn2baNM45OTnYbDZiY2Pd2mNjY09pwHpWVtYJt1nT/c6ZM4eoqCjXkpCQUOMapX4pLi7Gea2eXz0/tQfQs29fvnc++OqrE60qIiK1rMafGkePHmXNmjWkp6dT7JyDp8zkyZOrvB3LMaclDMOo0FZdVdlmdfc7ffp0pk2b5nqcl5enMOUliouLXb8IlrIJL+uz3r178ybQFyj6/HOCxowxuyQREZ9VoyC1efNmLrroIvLz8zl69ChNmjQhJyeH0NBQmjVrVqUgFR0djdVqrdALlJ2dXaG3qDri4uJOuM2a7jcoKIigoKAa1yX1V0lJiatHqr4PNgfHz/DPzZpBdjal//sf+qkUETFPjU7tTZ06lUsvvZQDBw4QEhLCV199xe7du0lKSuKJJ56o0jYCAwNJSkoiJSXFrT0lJYV+/frVpCwA+vbtW2Gbq1atcm2ztvYrDVf5U3v1+RYx5ZX07YsdCEtPh717zS5HRMRn1ShIpaamctddd2G1WrFarRQVFZGQkMDjjz/O/fffX+XtTJs2jVdeeYXXXnuN7du3M3XqVNLT05k4cSLgOJ127MSfqamppKamcuTIEfbt20dqairbtm1zPX/nnXeyatUqHnvsMX7++Wcee+wxPvvsM7c5p062X/Et5U/t1edbxJTXbeBAfnQ+WLPGzFJERHxajT41AgICXOOJYmNjSU9Pp2PHjkRFRVVrLqaRI0eyf/9+Zs+eTWZmJl26dGHlypUkJiYCjgk4j91ejx49XF9v2rSJd955h8TERHbt2gVAv379WLx4MQ888AAPPvggbdu2ZcmSJfTp06fK+xXfUr5Hqr7fIsbpvPPOYzVwJmD/4gv8rrnG3IJERHxUleeRKi85OZkJEyZw3XXXMXHiRDZv3szkyZN58803OXjwoNvkl95K80h5jx9//JEXu3fneYCrroIGcONtm83GmPBwFhUWUti6NcE7d5pdkohIg2DaPFLlPfLII8THxwPwz3/+k6ZNm/K3v/2N7OxsXnrppVMuSqQulR9s3lB6pKxWK6X9+mEHgtPSNE5KRMQkNTq116tXL9fXMTExrFy50mMFidS1hjhGCqDH4MFs+d//6A6OcVI6vSciUudOaULO7Oxs1q1bx/r169m3b5+nahKpUw1xjBT8NU4KwFi9+gRriohIbalRkMrLy2Ps2LGcdtppDBgwgPPOO4/mzZszZswYcnNzPV2jSK1qqD1SvXv35suyeouPmc5DRETqRo2C1E033cTXX3/N8uXLOXToELm5uSxfvpzvvvuOm2++2dM1itSqhtojFRQUREHv3o6vf/sNsrNNrkhExPfUKEitWLGC1157jaFDhxIZGUlERARDhw7l5ZdfZsWKFZ6uUaRWlZSUNMgeKYDu55/PD84Hmk9KRKTO1ShINW3alKioqArtUVFRNG7c+JSLEqlLDbVHCtzHSaFxUiIida5GQeqBBx5g2rRpZGZmutqysrL4+9//zoMPPuix4kTqgtsYqQYWpPr27cvasslxSz77zORqRER8T5XPY/To0cM1mznAjh07SExMpGXLlgCkp6cTFBTEvn37uPXWWz1fqUgtceuRamCn9iIiIsjt3h1SUwn49VfHOKlmzcwuS0TEZ1T5U2PEiBG1WIaIeRryqT2AboMG8WNqKt0A1q51zM4uIiJ1ospBaubMmbVZh4hpGvJgcygbJ/X0044gtXq1gpSISB06pU+NTZs2sX37diwWC506dXK7obBIQ1FcXEyQ80ED7JE699xzuQWYDJR+/vmp/VKLiEi11Oj/3OzsbK699lpWr15No0aNMAyD3NxcBg0axOLFi4mJifF0nSK1pri4mDDngwbYIxUdHc3edu3g11/x//ln2LcP9DsoIlInanTV3h133EFeXh5bt27lwIEDHDx4kJ9++om8vDwmT57s6RpFalVDHyMF0HXQIH50Pli71sxSRER8So2C1CeffML8+fPp2LGjq61Tp048//zzfPzxxx4rTqQuNNRbxJTnNp+UpkEQEakzNQpSdrudgICACu0BAQHY7fZTLkqkLpWUlDT4Hqn+/fuzquxr+8cfg2GYWo+IiK+oUZA6//zzufPOO/nzzz9dbXv27GHq1KkMHjzYY8WJ1AVv6JFKSEhgZ8uWFAF+u3fDL7+YXZKIiE+oUZD6z3/+w+HDh2nVqhVt27bl9NNPp3Xr1hw+fJjnnnvO0zWK1CpvGCMF0GvAAFx32/vkEzNLERHxGTX68zshIYHvv/+elJQUfv75ZwzDoFOnTgwZMsTT9YnUOm/okQIYPHgwn7z5JskAH38MU6aYXJGIiPer9qdGaWkpwcHBpKamcsEFF3DBBRfURl0idcZbeqSSk5N5FHgKMNaswZKfD6GhZpclIuLVqn1qz9/fn8TERGw2W23UI1LnvCVIxcfHE9i1K7sBS1GRY5ZzERGpVTUaI/XAAw8wffp0Dhw44Ol6ROpcQUGBV5zaA0geOhTXBCSaikREpNbV6FPj2Wef5bfffqN58+YkJiYSFhbm9vz333/vkeJE6kJ+fr5X9EgBDB06lOeeeIKJgPHJJ1jMLkhExMvVKEiNGDECi8WCoblqxAvk5+d7TY/Uueeey3XBwRQXFhL422/w229w+ulmlyUi4rWq9amRn5/P3//+dz744ANKSkoYPHgwzz33HNHR0bVVn0it86YeqeDgYHoNGsT6jz/mfHCc3rvjDrPLEhHxWtUaIzVz5kwWLFjAxRdfzKhRo/jss8/429/+Vlu1idQJb+qRAsfVe67RUZpPSkSkVlXrU2PZsmW8+uqrXHvttQCMHj2ac845B5vNhrWB/yUvvsubeqTAMU7qGuDfgPHFF1gKCyE42OyyRES8UrV6pDIyMujfv7/r8VlnnYW/v7/brWJEGhpv65Hq0KEDuS1a8AdgKSiAtWvNLklExGtVK0jZbDYCAwPd2vz9/SktLfVoUSJ1ydt6pCwWC0MvvBDXST1NgyAiUmuq9ee3YRhMmDCBoKAgV1thYSETJ050mwJh2bJlnqtQpBbZ7XYKCwu9qkcKHKf3Fr3yCjeBI0g9/bTZJYmIeKVqfWqMHz++QtuYMWM8VoxIXSsoKADwqh4pcNx372aLhVLDwP+XXyAtDVq3NrssERGvU60g9frrr9dWHSKmyM/PB8oFKS/pkWrcuDEd+vRhw1dfcR44rt7TFbYiIh5Xo1vEiHgLZ5AKsJTNAe4lPVLgOL23wvngww/NLEVExGspSIlPcwYpfy8NUu+XfW18/jkcPGhqPSIi3khBSnxahR4pLzm1B9C7d2/2NWrEFsBSWgrLl5tdkoiI1zE9SM2bN4/WrVsTHBxMUlIS69atO+H6a9asISkpieDgYNq0acMLL7zg9vzAgQOxWCwVlosvvti1zqxZsyo8HxcXVyvHJ/VbhTFSXtQj5e/vz+DBg3FdQ7t0qZnliIh4JVOD1JIlS5gyZQozZsxg8+bN9O/fn2HDhpGenl7p+mlpaVx00UX079+fzZs3c//99zN58mSWlvuAWLZsGZmZma7lp59+wmq1cvXVV7ttq3Pnzm7rbdmypVaPVeonb+6RArj44otx/XZ8+ikcOWJmOSIiXsfUIPXUU09x4403ctNNN9GxY0fmzp1LQkIC8+fPr3T9F154gZYtWzJ37lw6duzITTfdxA033MATTzzhWqdJkybExcW5lpSUFEJDQysEKX9/f7f1YmJiavVYpX7y5h4pgEsvvZRtfn78BlBYqMk5RUQ8zLQgVVxczKZNm0hOTnZrT05OZsOGDZW+ZuPGjRXWHzp0KN999x0lJSWVvsZ5b8DyE4YC7Nixg+bNm9O6dWuuvfZadu7cecJ6i4qKyMvLc1uk4Tt69CgAVsNwNHhZj1R0dDTnDRjwV6+UJssVEfEo04JUTk4ONpuN2NhYt/bY2FiysrIqfU1WVlal65eWlpKTk1Nh/W+++YaffvqJm266ya29T58+LFy4kE8//ZSXX36ZrKws+vXrx/79+49b75w5c4iKinItCQkJVT1Uqce8vUcK4PLLL/9rnNTy5Y6eKRER8QjTB5tbnGNTyhiGUaHtZOtX1g6O3qguXbpw1llnubUPGzaMK6+8kq5duzJkyBBWrHDMtvPGG28cd7/Tp08nNzfXtWRkZJz4wKRBcAUpL+2RAhgxYgTfAn+AY4zUZ5+ZXJGIiPcwLUhFR0djtVor9D5lZ2dX6HVyiouLq3R9f39/mjZt6taen5/P4sWLK/RGVSYsLIyuXbuyY8eO464TFBREZGSk2yINnzNI+TmDlBf2SCUkJNCrd29dvSciUgtMC1KBgYEkJSWRkpLi1p6SkkK/fv0qfU3fvn0rrL9q1Sp69epFQECAW/u7775LUVFRle4FWFRUxPbt24mPj6/mUUhD5ws9UnDM6b2PPoLjjCkUEZHqMfXU3rRp03jllVd47bXX2L59O1OnTiU9PZ2JEycCjtNp48aNc60/ceJEdu/ezbRp09i+fTuvvfYar776KnfffXeFbb/66quMGDGiQk8VwN13382aNWtIS0vj66+/5qqrriIvL6/SmzKLd8vPz3f/JfDCHilwBKl1QDbAgQOwZo3JFYmIeAdT//weOXIk+/fvZ/bs2WRmZtKlSxdWrlxJYmIiAJmZmW5zSrVu3ZqVK1cydepUnn/+eZo3b86zzz7LlVde6bbdX3/9lfXr17Nq1apK9/vHH38watQocnJyiImJ4eyzz+arr75y7Vd8R35+Pm7RyUt7pDp06ED7jh35cPt2bgbH1XtDhphdlohIg2cxnKO1pVry8vKIiooiNzdX46UasHHjxvHem2+S72w4fBjCw80sqdbMmDGDTY88wicAcXGwZw/4mX69iYhInfL057f+FxWfVqFHyktP7YHj9N7/gFyArCzYuNHkikREGj4FKfFp+fn57ue3vfTUHkBSUhJxCQn819nw7rtmliMi4hUUpMSn+VKPlMVi4fLLL2exs2HxYl29JyJyihSkxKe59UhZLF4/Zujyyy/nU2CfxQLZ2XCcCzJERKRqvPtTQ+Qk3HqkvLg3yuncc88lqmlT3nZeY/Lmm+YWJCLSwClIiU9z65Hy4vFRTv7+/gwfPhxXfPrgA8jNNbEiEZGGTUFKfJqv9UgBXHvttXwP/Gy1QlERvPee2SWJiDRYClLi03ytRwrg/PPPp3nz5iyw2RwNCxeaW5CISAOmICU+yzAMn+yRslqtXHfddbwN2AHWroVdu8wtSkSkgVKQEp9VXFyMzWb7K0j5SI8UwNixY/kDWGOxOBreesvUekREGioFKfFZ+fmOG8O44pOP9EgBdOvWjW7durGg/NV7uluUiEi1KUiJz3IGqSBngPKhIAWOXqllQKGfH/z6K3zzjdkliYg0OApS4rOcQSosKMjR4EOn9gCuu+468v38eM9udzRoTikRkWpTkBKf5QpSwcGOBh/rkWrevDmDBw/+a06pRYuguNjMkkREGhwFKfFZvt4jBY7Te58De61WOHAAVq40uyQRkQZFQUp8ljNIhTqDlI/1SIHj3ntBoaEsdM4p9eqr5hYkItLAKEiJz1KPFISHh3PFFVfwirNhxQrNKSUiUg0KUuKznEEqJDDQ0eCDPVLgOL33K7Da398xBcJLL5ldkohIg6EgJT7LdWrPGaR8sEcKYPDgwcTHx/NMaamj4ZVXHPfgExGRk1KQEp/l6pHy4TFS4LhlzOjRo/kvkBMcDPv2wdKlZpclItIgKEiJz3IFqYAAR4OP9kgB3HTTTdiA5woLHQ3z5plaj4hIQ6EgJT6rwqk9H+2RAmjfvj1DhgzhZcDm5wdffgk//mh2WSIi9Z6ClPgsZ5AKVo8UALfddhuZwHLn92H+fFPrERFpCBSkxGdVOLXnwz1SAJdeeiktWrTgaefs5m++CXl55hYlIlLPKUiJz6rQI+XjQcrf359bb72VNUBaSAgcPar774mInISClPgsV5Bynsry8VN74Bh07u/vz1MFBY6GefMcc0uJiEilFKTEZzmDVJAzQPl4jxRAXFwcV155JQuBIn9/2LYN1q0zuywRkXpLQUp81tGjRwEIcgYo9UgBjkHnecBbzoannzaxGhGR+k1BSnyWeqQq179/fzp37swTzpnOP/wQfv7Z3KJEROopBSnxWa4gpR4pNxaLhdtvv52fgc/Cwx1jpP79b7PLEhGplxSkxGc5g1SgM0ipR8plzJgxhIeH88CRI46GN9+EP/4wtygRkXpIQUp8litI+ZX9GqhHyiUiIoJx48bxNbClSRMoKYG5c80uS0Sk3lGQEp+lHqkTmzJlCn5+ftxz4ICj4cUX4eBBc4sSEalnFKTEZzmDVIDGSFXqjDPO4KqrruITYHejRnDkiG5mLCJyDAUp8Uk2m42ioiIAAi0WR6N6pCq47777AHggN9fR8Mwz4JysU0REzA9S8+bNo3Xr1gQHB5OUlMS6k0z+t2bNGpKSkggODqZNmza88MILbs8vWLAAi8VSYSksLDyl/Yp3KSgXBgI0Ruq4evTowYUXXsgiwyAnIgL27YPXXze7LBGResPUILVkyRKmTJnCjBkz2Lx5M/3792fYsGGkp6dXun5aWhoXXXQR/fv3Z/Pmzdx///1MnjyZpUuXuq0XGRlJZmam2xIcHFzj/Yr3cZ7WA3DFJ/VIVWr69OnYgH85v2dPPAHOOaZERHycqUHqqaee4sYbb+Smm26iY8eOzJ07l4SEBObPn1/p+i+88AItW7Zk7ty5dOzYkZtuuokbbriBJ554wm09i8VCXFyc23Iq+xXv4wxSISEhWOx2R6OCVKX69+9Pv379eMlm40hICKSlwbvvml2WiEi9YFqQKi4uZtOmTSQnJ7u1Jycns2HDhkpfs3HjxgrrDx06lO+++46SkhJX25EjR0hMTKRFixZccsklbN68+ZT2C1BUVEReXp7bIg2XM0iFhob+1buiU3uVslgsTJ8+nQLgKZvN0Th7tnqlREQwMUjl5ORgs9mIjY11a4+NjSUrK6vS12RlZVW6fmlpKTk5OQB06NCBBQsW8NFHH7Fo0SKCg4M555xz2LFjR433CzBnzhyioqJcS0JCQrWPWeoPZ5AKCwsDZzhQj9RxXXzxxXTt2pUniovJDw2FX36BN94wuywREdOZPtjc4rxiqoxhGBXaTrZ++fazzz6bMWPG0L17d/r378+7775Lu3bteO65505pv9OnTyc3N9e1ZGRknPzgpN5Sj1T1WCwW7rvvPg4Dc5y/J7NmwTEXcYiI+BrTglR0dDRWq7VCL1B2dnaF3iKnuLi4Stf39/enadOmlb7Gz8+P3r17u3qkarJfgKCgICIjI90WabjcgpR6pKrkmmuuoU2bNvz76FEON2rkuGWMxhWKiI8zLUgFBgaSlJRESkqKW3tKSgr9+vWr9DV9+/atsP6qVavo1asXAQEBlb7GMAxSU1OJj4+v8X7F+6hHqvr8/f259957KQL+4fyePfIIHD5sal0iImYy9dTetGnTeOWVV3jttdfYvn07U6dOJT09nYkTJwKO02njxo1zrT9x4kR2797NtGnT2L59O6+99hqvvvoqd999t2udhx56iE8//ZSdO3eSmprKjTfeSGpqqmubVdmveD/1SNXM9ddfzxlnnMFzR46wv0kTyMmBp54yuywREdOY+if4yJEj2b9/P7NnzyYzM5MuXbqwcuVKEhMTAcjMzHSb26l169asXLmSqVOn8vzzz9O8eXOeffZZrrzyStc6hw4d4pZbbiErK4uoqCh69OjB2rVrOeuss6q8X/F+R48eBY4JUuqROqmAgAAefvhhrrnmGqYdPcobAE8+CbffDtHRZpcnIlLnLIZztLZUS15eHlFRUeTm5mq8VAP09NNPM23aNK677jreLi6G996D556DSZPMLq3eMwyDs846i03ffUd6dDQtcnJg2jRHoBIRqec8/flt+lV7ImZwO7XnnBNMgbhKLBYLjz32GAbwt4MHHY3PP+8YfC4i4mMUpMQnuQUp5w15o6JMrKhhOf/880lOTma5zcbPMTFQVAQPPGB2WSIidU5BSnySgtSpe/TRRwEYv2+fo+GNN2DjRhMrEhGpewpS4pMUpE5djx49GDVqFN8An552mqPxjjv+GrwvIuIDFKTEJylIeca//vUvAgICGLdnDyVhYbBpE7z6qtlliYjUGQUp8UnOIBUeFARlXytIVV+bNm249dZbyQaecA7Wnz4d9u83tS4RkbqiICU+yRmkosrfX1FX7dXIrFmzaNq0KQ9mZpITFwcHDsCDD5pdlohInVCQEp/kDFKRdrujISwMjnObITmxpk2b8vjjj2MDxjhPk77wAmzebGpdIiJ1QUFKfJIzSEU4g5RO652SCRMm0K9fPz4tKGB9QgIYhmNyU833KyJeTkFKfJJrjJTzCjMFqVPi5+fH/PnzsVqtjMzIoDQ4GDZsgIULzS5NRKRWKUiJT3IGqTAFKY/p1q0bkydP5k/gydBQR+PUqZCZaWpdIiK1SUFKfJJr+oPiYkeDgpRHzJo1i+bNmzPjwAH+jI+Hgwdh4kSd4hMRr6UgJT7JGaSCi4ocDQpSHhEZGcnTTz+NDbg0JwcjIAA++gjeftvs0kREaoWClPgcwzBcQSqosNDRqCDlMVdffTUXXHAB35eU8GqLFo7GyZN1ik9EvJKClPic4uJi7GVX6wUWFDgaGzUyryAvY7FYmD9/PmFhYUxMS2NvixaOU3y33qpTfCLidRSkxOccPXrU9XWA82v1SHlU27ZtefLJJ7EBw/buxR4QAP/9L7z1ltmliYh4lIKU+Bznab2AgAD8Dh92NCpIedwtt9zCsGHD2FxSwryYGEfj5Mnw55/mFiYi4kEKUuJzdMPiumGxWHj11Vdp0qQJU/78kz3x8XDoEEyYAM6JUEVEGjgFKfE5ClJ1Jz4+nhdeeAEbcOHevdiCgiAlBebMMbs0ERGPUJASn6MgVbeuvvpqRo8ezU92O/c7B/X/4x+wZo2pdYmIeIKClPgcBam699xzz3Haaafx+N69bDjjDMepvVGjIDvb7NJERE6JgpT4HAWpute4cWPeeOMNLBYLF+zYwcH4eMe8UmPGaLyUiDRoClLic5xBKjI4GDSPVJ0ZPHgws2fPJh84PycHu8ZLiYgXUJASn+MMUtEBAX81RkaaVI1vuf/++7nkkktILSnhnvBwR+M//gGrV5tal4hITSlIic9xBqmmziAVHg5Wq4kV+Q4/Pz/efPNN2rRpw5P795Ny2mmOU3tXXQW//252eSIi1aYgJT7HGaSaOMOTxkfVqUaNGrFs2TKCg4MZvmcPe5o3h/374dJL/xqzJiLSQChIic9xBqnGFoujQUGqznXv3p0XX3yRAuCsP/+koGlT2L4drrkGSkvNLk9EpMoUpMTnOINUIwUpU40bN46JEyfyJ3BBfj624GBYtQqmTDG7NBGRKlOQEp/jDFKu+KQgZZpnnnmGwYMH82VBATcHBzsan3/esYiINAAKUuJznEEqwjl/kYKUaQIDA1m6dCldu3bl9UOHeMp5c+M774RPPjG3OBGRKlCQEp/jClI2m6NBc0iZKioqipUrV3Laaadx1759fBIbCzYbXHEFfPml2eWJiJyQgpT4HGeQCnMOalaPlOlatGjBypUriYiI4LK9e0mNj3dMlnrRRbB5s9nliYgcl4KU+BxnkAopKXE0KEjVC926dWPp0qUY/v70y8zk9+bNIS8PkpPh55/NLk9EpFIKUuJzjh49CkBIUZGjQUGq3rjgggt49dVXKQB6/vknGbGxkJMDQ4bArl1mlyciUoGClPgcZ49UUGGho0FBql4ZN24c8+fPJw/osXcve5s2hT17HGEqM9Ps8kRE3JgepObNm0fr1q0JDg4mKSmJdevWnXD9NWvWkJSURHBwMG3atOGFF15we/7ll1+mf//+NG7cmMaNGzNkyBC++eYbt3VmzZqFxWJxW+Li4jx+bFI/OYNUoIJUvTVx4kT+85//sB/osX8/Bxo1ctxCZsAASE83uzwRERdTg9SSJUuYMmUKM2bMYPPmzfTv359hw4aRfpz/KNPS0rjooovo378/mzdv5v7772fy5MksXbrUtc7q1asZNWoUX3zxBRs3bqRly5YkJyezZ88et2117tyZzMxM17Jly5ZaPVapP5xBKqDsXwWp+un222/n2WefJRNIOnSIg1FRsGMH9O8Pv/1mdnkiIgBYDMMwzNp5nz596NmzJ/Pnz3e1dezYkREjRjBnzpwK699777189NFHbN++3dU2ceJEfvjhBzZu3FjpPmw2G40bN+Y///kP48aNAxw9Uh988AGpqak1rj0vL4+oqChyc3OJjIys8Xak7jVu3JhDhw5REh2Nf04O/PADdOtmdllyHHPnzmXq1Km0AL5v0oSYAwcgLg5SUqBLF7PLE5EGxtOf36b1SBUXF7Np0yaSk5Pd2pOTk9mwYUOlr9m4cWOF9YcOHcp3331HifMKrGPk5+dTUlJCkyZN3Np37NhB8+bNad26Nddeey07d+48haORhsTZI2U9fNjRoB6pem3KlCk88cQT/AF0OXCAjCZNICvLcZrvu+/MLk9EfJxpQSonJwebzUZsbKxbe2xsLFlZWZW+Jisrq9L1S0tLycnJqfQ19913H6eddhpDhgxxtfXp04eFCxfy6aef8vLLL5OVlUW/fv3Yv3//cestKioiLy/PbZGGp7S0lOLiYgIBi67aazDuuusuXnrpJXL8/Oh+4AC/NGoEBw7A+efDmjVmlyciPsz0weYW541jyxiGUaHtZOtX1g7w+OOPs2jRIpYtW0aw8z5ewLBhw7jyyivp2rUrQ4YMYcWKFQC88cYbx93vnDlziIqKci0JCQknPzipdwoKCoBy99kDiIgwpRapnptvvpn333+fguBgeh06xPeRkXD4MFxwASxcaHZ5IuKjTAtS0dHRWK3WCr1P2dnZFXqdnOLi4ipd39/fn6ZNm7q1P/HEEzzyyCOsWrWKbicZ/xIWFkbXrl3ZsWPHcdeZPn06ubm5riUjI+OE25T6qcINiyMiwGo1rR6pnssuu4zPPvuMgMaNOScvj08jIqCkBMaPhwceAOf9E0VE6ohpQSowMJCkpCRSUlLc2lNSUujXr1+lr+nbt2+F9VetWkWvXr0ICAhwtf373//mn//8J5988gm9evU6aS1FRUVs376d+Pj4464TFBREZGSk2yINjzNIxQYFORp0Wq/BOeecc1i/fj3RLVow7PBh5oaEOJ54+GEYNcpxaxkRkTpi6qm9adOm8corr/Daa6+xfft2pk6dSnp6OhMnTgQcvUDOK+3AcYXe7t27mTZtGtu3b+e1117j1Vdf5e6773at8/jjj/PAAw/w2muv0apVK7KyssjKyuLIkSOude6++27WrFlDWloaX3/9NVdddRV5eXmMHz++7g5eTOEMUs0UpBq0Tp06sXHjRs7s0YOpBQXc6OeHzWqFd9+FQYMcg9FFROqCYbLnn3/eSExMNAIDA42ePXsaa9ascT03fvx4Y8CAAW7rr1692ujRo4cRGBhotGrVypg/f77b84mJiQZQYZk5c6ZrnZEjRxrx8fFGQECA0bx5c+OKK64wtm7dWq26c3NzDcDIzc2t9jGLeb755hsDMG6JjjYMMIx+/cwuSU7B0aNHjeuuu84AjPPAOBwU5Hhf4+MNo9z/JSIiTp7+/DZ1HqmGTPNINUxr1qxh4MCB3B8fz8OZmXDRRVB2sYE0TIZh8NRTT3HPPffQxm7nk5AQ2hYUOMa+Pfww/P3v4Gf6dTUiUk94zTxSImZwntpr6hxgrlN7DZ7FYuGuu+7ik08+4UCTJnQrKGBJYCDYbHDffTB8uGOqBBGRWqAgJT7FGaQaO3soFKS8xgUXXMC3335Lx6Qkri0u5magxGqF5cuhZ0/46iuzSxQRL6QgJT7FNf2Bc94xBSmv0qZNGzZs2MA999zDK0Bvm43dAQGwezeccw7MmAHFxWaXKSJeREFKfIorSDmHBipIeZ3AwEAee+wxUlJSyI6Pp1tJCe/4+TnmmHrkETjrLPjxR7PLFBEvoSAlPuXo0aMARChIeb0hQ4bw448/MvCyyxhtt3MlcNDf33GT6l694NFHHeOoREROgYKU+BRnj1SE8wNUQcqrRUdH88EHH/D666/zRePGdCgt5UNwzIY+fTqcfbZufCwip0RBSnyKM0iFlZY6GhSkvJ7FYmHChAls27aNAVdfzQhgPJDn5+cIUWedBZMmwaFD5hYqIg2SgpT4FGeQCi0pcTQ0amReMVKn4uLiePfdd/nggw/4rHlz2tntvAVgGPD889ChA7zzjuOxiEgVKUiJT3EGqRDnlVvqkfI5w4cPZ9u2bYycPJkJVivnA78A7N0Lo0fDgAHwzTcmVykiDYWClPgUZ5AKKix0NChI+aSoqCieeeYZfvzxRwKHDqUbMAMoAFi3Dvr0cdwAOS3N3EJFpN5TkBKfkpWVRRDgr8HmguPmxx9//DHLli/nvXbtOANYANgBFi/G6NAB7r5bM6OLyHEpSInPMAyD77//Hld0slggIsLMkqQesFgsXHzxxWzZsoV7n32W+2Jj6QmkAJbiYnjySYxWrRyTee7fb3K1IlLfKEiJz9i1axcHDx4k2t/f0RARoZvZiktgYCB33HEHO3fu5LrHHuPaxo25EEgFLIcPwyOPOALV/fdDTo65xYpIvaFPEfEZmzZtAqBn27aOBp3Wk0qEhoZyzz33sDMtjb6zZjEwIoIRwGbAcuQIzJnjCFR33QXp6eYWKyKmU5ASn/H9998D0KNNG0eDgpScQFRUFDNnzmR3RgZ9H32UYc2acRnwPWA5ehSeegqjTRvHoHRN6inisxSkxGc4e6S6tGjhaNAcUlIFUVFR3HvvvezavZtLXnyRkW3bchHwOWCx2WDxYujdG+O88+C99xyzpouIz1CQEp9gGIYrSJ3RrJmjUT1SUg3BwcHccsst/PzLL9y8bBlzBg/mTGAhUAJY1q2Dq6/G1qIFPPAA7N5tbsEiUicUpMQnZGRksH//fvz9/WnhvFJPQUpqwGq1cvnll/PZZ5+xaNs2vp00iS5hYTwMZAHW7Gx4+GGM1q2xX3QRLFsGRUVmly0itURBSnyCszeqc+fOBJRNyqkgJaeqY8eOPPfcc3yXmUn0Cy9wVe/eXAV8BlgMA7+PP4Yrr6QkJgbjb3+DjRt1CxoRL6MgJT7BGaSSkpIgN9fRqCAlHhIREcGtt97K+m++YfbWraz6+9/pFx3NY8AeIODwYSwvvAD9+lGYmIjx4IOwZYtClYgXUJASn+C8Yq9nz54KUlKrOnXqxOOPP87azEy6rljB/aNHMzwkhIXAUSA4IwPLv/4F3bpxNDER2/33ww8/KFSJNFAKUuL1yg80V4+U1BV/f38uuugi3njrLZYcOEDEsmXcdsUV3BgYyIdAIRCWkYF1zhw480yOxMZScMst8Nln4LyptojUewpS4vX27NlDdnY2VquV7t27/xWkNP2B1JHg4GAuv/xy3li6lOcOHsTy4YfcNWYMEyMiWIbjZsnh+/YR8vLLcMEFFEZEkDNoELaXX4aMDLPLF5ET8De7AJHa5jyt17FjR0JCQuDQIccT6pESE4SGhnLZZZdx2WWXYbPZ+Oqrr3j4vfc4/P77dN29m0uAuOJiglevhtWrAdjfrBmlgwYRfe21WM8/HyIjzTwEESlHQUq8nttpPdCpPak3rFYr55xzDueccw48/TR//vknn3zyCb8uWkSj9evpX1jIWUDT7GxYsgSWLMEG7D3tNGznnkuzq64iaMgQ9a6KmEhBSryegpQ0FM2bN2fCDTfADTdgt9v58ccfeXHFCnI/+IBmP/zAwJIS2gLN9+xxBSs7kNW0KUe7dyciOZnYESOwtGsHFovZhyPiEyyGoUtFaiIvL4+oqChyc3OJVDd7vda8eXMyMzP58ssv6de3LwQFOW7jkZ4OCQlmlydSJTabjdTUVFKXL+foypU0+ekneufn076SdXMDAshKSMB25pk0uuAC4i65BD/nrZFEfJynP78VpGpIQaphyMzMpHnz5vj5+ZGXl0eYnx+EhjqezM3VWBNpsAzDYPfu3WxasYJDH39M0ObNtMnMpKdhEFzJ+jkBAWTFx1PcqROhffvS/KKLiOzRA6zWOq9dxEwKUvWEglTDsHz5ci699FI6derE1q1bISsL4uMdpz1KS8FPF66K9ygpKeGn778n7f33KVy/nvBffqH1/v10Mgwqi0v5FgsZEREcatECe4cOhPfpQ/MLLqBJ9+5Y9LshXsrTn98aIyVezXnFXoXxUZGRClHidQICAujRpw89+vRxtZWWlvLz99+T8d//UvD11wT//DNxe/fSvriYUMOgfV4ebNvmWJYtg3vv5QiQERrKwZgYilq1IqBrV6J69SK+f3+atm6NReOvRFwUpMSrOQea9+zZ09GgOaTEx/j7+9P5rLPofNZZbu2H9u9n+yefcHD9emw//EBoWhqx+/fTuqSEcKBjfj7s3u1Y1qxxvW6fxcKekBAONm1KUfPm+LVpQ3CnTjTu0YPmvXvTJCZGQUt8ioKUeLUKV+xpDikRABo1bUrS6NEwerRbe0FuLmlr1rB/wwaKfvgB/99/p9HevcQdOUK03U6MYRCTnw/5+Y7JQr/+2vXaYmCXxUJ2cDB5UVEUxMRgJCTg37o1Ye3aEdW5M7EdOtAsNhZ/f338iHfQT7J4rb1797Jnzx4sFgtnnnmmo1FTH4icUEhUFO0uuwwuu6zCc4XZ2WR9+SUHv/2Wwp9+wrJ7N6FZWTTOzSW2qIhAoLVh0LqgAAoKHGMSt2xx20YBsAvH4PfcsDAKoqIoiY7GiIvDv0ULghMTCW/blkZnnEGz+HiaNm1KQEBAXRy6SI0oSInXco6PateuHREREY5GBSmRGgtu1oxWl19Oq8svr/ikzUbhzp3kfP89eT/9ROGvv2Ls3k1gVhbhBw/SKD+fxqWlhACnA6eXlDh6iA8dcpw+PIYdyAF+AQ76+3M4OJj8sDCKo6KwN2kCTZtijY0lIC6OkIQEwhISiIqPp0nTpjRu3JiIiAidYpQ6oSAlXqvCaT1QkBKpLVYrwWecQYszzoCRIytfp7AQW0YGB7du5fAvv1C4cyelGRmQlUVgTg4heXlE5OcTVVKCH9CsbKG0FI4ccSx79x63hCLgAJABHAKOBASQHxREUUgIJWFh2CIiMCIjoVEj/Bo3xr9pUwJjYghq1ozgZs0Ij44mIjKSyMhIIiIiiIiIUG+YnJSClHilRYsW8e9//xuA3r17//WEgpSIeYKDsZ5xBtFnnEH0idYrLYWcHGx//snh33/n6K5dFGZkUPLnn9izs/E7cICA3FyCjhwhtKCAiOJiAgyDICC+bAEcE++WlDgC2L59Jy2vFMgrW/YAh4GjFguFAQEUBQRQHBREaVAQtpAQ7CEhGGFhEBaGJTwcS3g41shI/KOi8I+KIiAqisBGjQhq3JiQyEhCQkLcltDQUEJCQvD391fPWQNnepCaN28e//73v8nMzKRz587MnTuX/v37H3f9NWvWMG3aNLZu3Urz5s255557mDhxots6S5cu5cEHH+T333+nbdu2PPzww1x+TFd0dfcrDcPhw4eZNGkSCxcuBKBv377ccMMNf62gICVS//n7Q1wc1rg4GvXsSaOTrW8YcPQoHDgABw5QlJXFkd27Kdq7l+LsbEr37cN+4AAcOoTf4cP4HzlCQEEBQYWFhBQXE1Jaih+OD8QmZYvbtouLHcvRozU6nBIcY8Ocy0EcQa0AKASKrVZKrFZK/P0p9ffH5u+PLSAAe2AgRmCg61+Cgx13ZggKwhIc7Fr8QkLwCw3FPyQEa2gofsHB+IeGVlgCg4MJDAwkMDCQgIAAt6+dj51fWzVRa5WZGqSWLFnClClTmDdvHueccw4vvvgiw4YNY9u2bbRs2bLC+mlpaVx00UXcfPPNvPXWW3z55ZfcdtttxMTEcOWVVwKwceNGRo4cyT//+U8uv/xy3n//fa655hrWr19Pn7K5Vaq7X2kYvv76a6677jp27tyJn58fDzzwAA8++KDj6qCCAscl3F9+6VhZQUrEe1gsEB7uWFq2JAgIqs7r7XbHVYh5ea6l9OBBCvftozAnh+L9+yk5eBB7bi62vDw4fBjj6FH8jhzBr7AQa2Eh1qIiAoqLCSwpIbC0lKDSUtckqAFly3GnfrTZHEtxcc2/B1Vgw3FlZTGOcFdS9vWRco/LL6UWCzY/P+xl/5b6+WEvtxhWK3ar1fV1hcXf3zFzvtUK/v4YVisWf39HUC772lKu3VK+PSDA1ea2BATg5++PxWrFr2wdP+f6Vit+/v74HbOOn78/1nLr5hcVefT7aurM5n369KFnz57Mnz/f1daxY0dGjBjBnDlzKqx/77338tFHH7F9+3ZX28SJE/nhhx/YuHEjACNHjiQvL4+PP/7Ytc6FF15I48aNWbRoUY32WxnnzKifTZ5MWFC1fmXlBJw/joZ7I3a73W0pLi4mNzeXQ4cOuZbffvsNw24nJjqaO++4gw7t2zvGU3zyCaxe7QhTTu++C1dfXZeHJiK+xDAcpxXz8x09Wc4rGfPzMfLzKcnLozg3l5LDhyk9fJjSI0ewHTmC7ehR7Pn5GAUF2AsLHa8vKoKiIixFRVhKSvArKsKvpAS/0lL8Skuxlpbib7Nhtdnwt9v/WnTjkkrlAVHQ8Gc2Ly4uZtOmTdx3331u7cnJyWzYsKHS12zcuJHk5GS3tqFDh/Lqq69SUlJCQEAAGzduZOrUqRXWmTt3bo33C1BUVERRuRSbW3aKqP2zzx7/rwwxR04OzJxJ3rHt8fFwwQVw8cWQnOz4y1NEpDb5+UFEhGOphLVs8dSf43b+6nXCZvtrnFhJyV+nKI9tKy2ltLAQW9ni/NpeVIS9qAhb2b9GSYmjraTE8XVxMUZpKTj/LS11/UtJiWP/paV/9biVlmIp+9pitzva7HYsZY/dFsPAr+xfi92OX/l/yxa/cv86v7YaBhbAr9xyLOf//J7qRzItSOXk5GCz2YiNjXVrj42NJSsrq9LXZGVlVbp+aWkpOTk5xMfHH3cd5zZrsl+AOXPm8NBDD1VoTzj+IUp9k5kJCxc6FhER8Wn79+8nygPDPEwfbH7s1QqGYZzwCobK1j+2vSrbrO5+p0+fzrRp01yPDx06RGJiIunp6R55IxqKvLw8EhISyMjI8KmbNeu4ddy+QMet4/YFubm5tGzZkiZNmpx85SowLUhFR0djtVor9AJlZ2dX6C1yiouLq3R9f39/mjZtesJ1nNusyX4BgoKCCKpkLFRUVJRP/QA6RZbNteJrdNy+RcftW3TcvsXPQzeu98xWaiAwMJCkpCRSUlLc2lNSUujXr1+lr+nbt2+F9VetWkWvXr1ck6Ydbx3nNmuyXxEREZHKmHpqb9q0aYwdO5ZevXrRt29fXnrpJdLT013zQk2fPp09e/a45gSaOHEi//nPf5g2bRo333wzGzdu5NVXX3VdjQdw5513ct555/HYY48xfPhwPvzwQz777DPWr19f5f2KiIiIVIlhsueff95ITEw0AgMDjZ49expr1qxxPTd+/HhjwIABbuuvXr3a6NGjhxEYGGi0atXKmD9/foVt/t///Z/Rvn17IyAgwOjQoYOxdOnSau23KgoLC42ZM2cahYWF1XpdQ6fj1nH7Ah23jtsX6Lg9c9ymziMlIiIi0pCZNkZKREREpKFTkBIRERGpIQUpERERkRpSkBIRERGpIQWpE5gzZw69e/cmIiKCZs2aMWLECH755Re3dQzDYNasWTRv3pyQkBAGDhzI1q1bTarYM6py3BMmTMBisbgtZ599tkkVe8b8+fPp1q2ba3K6vn37ut382hvfazj5cXvje12ZOXPmYLFYmDJliqvNW9/z8io7bm98z2fNmlXhmOLi4lzPe+t7fbLj9sb32mnPnj2MGTOGpk2bEhoayplnnsmmTZtcz3vqPVeQOoE1a9Zw++2389VXX5GSkkJpaSnJyckcPXrUtc7jjz/OU089xX/+8x++/fZb4uLiuOCCCzh8+LCJlZ+aqhw3wIUXXkhmZqZrWblypUkVe0aLFi149NFH+e677/juu+84//zzGT58uOsXyxvfazj5cYP3vdfH+vbbb3nppZfo1q2bW7u3vudOxztu8M73vHPnzm7HtGXLFtdz3vxen+i4wTvf64MHD3LOOecQEBDAxx9/zLZt23jyySdp1KiRax2PvecemUTBR2RnZxuAa84pu91uxMXFGY8++qhrncLCQiMqKsp44YUXzCrT4449bsNwzPE1fPhw84qqI40bNzZeeeUVn3mvnZzHbRje/14fPnzYOOOMM4yUlBRjwIABxp133mkYhvf/fh/vuA3DO9/zmTNnGt27d6/0OW9+r0903Ibhne+1YRjGvffea5x77rnHfd6T77l6pKohNzcXwHWjw7S0NLKyskhOTnatExQUxIABA9iwYYMpNdaGY4/bafXq1TRr1ox27dpx8803k52dbUZ5tcJms7F48WKOHj1K3759fea9Pva4nbz5vb799tu5+OKLGTJkiFu7t7/nxztuJ298z3fs2EHz5s1p3bo11157LTt37gS8/70+3nE7eeN7/dFHH9GrVy+uvvpqmjVrRo8ePXj55Zddz3vyPTf1FjENiWEYTJs2jXPPPZcuXboAuG58fOzNjmNjY9m9e3ed11gbKjtugGHDhnH11VeTmJhIWloaDz74IOeffz6bNm2q9ObODcWWLVvo27cvhYWFhIeH8/7779OpUyfXL5a3vtfHO27w3vcaYPHixWzatInvvvuuwnPe/Pt9ouMG73zP+/Tpw8KFC2nXrh179+7lX//6F/369WPr1q1e/V6f6LibNm3qle81wM6dO5k/fz7Tpk3j/vvv55tvvmHy5MkEBQUxbtw4j77nClJVNGnSJH788Ue3e/Y5WSwWt8eGYVRoa6iOd9wjR450fd2lSxd69epFYmIiK1as4IorrqjrMj2mffv2pKamcujQIZYuXcr48eNZs2aN63lvfa+Pd9ydOnXy2vc6IyODO++8k1WrVhEcHHzc9bztPa/KcXvjez5s2DDX1127dqVv3760bduWN954wzW42tveazjxcU+bNs0r32sAu91Or169eOSRRwDo0aMHW7duZf78+YwbN861nifec53aq4I77riDjz76iC+++IIWLVq42p1XPjiTrVN2dnaFlNsQHe+4KxMfH09iYiI7duyoo+pqR2BgIKeffjq9evVizpw5dO/enWeeecbr3+vjHXdlvOW93rRpE9nZ2SQlJeHv74+/vz9r1qzh2Wefxd/f3/W+ett7frLjttlsFV7jLe95eWFhYXTt2pUdO3Z4/e93eeWPuzLe8l7Hx8e7etWdOnbsSHp6OuDZz28FqRMwDINJkyaxbNky/ve//9G6dWu351u3bk1cXBwpKSmutuLiYtasWUO/fv3qulyPOdlxV2b//v1kZGQQHx9fBxXWHcMwKCoq8tr3+nicx10Zb3mvBw8ezJYtW0hNTXUtvXr1YvTo0aSmptKmTRuvfM9PdtxWq7XCa7zlPS+vqKiI7du3Ex8f71O/3+WPuzLe8l6fc845Fabt+fXXX0lMTAQ8/PldvXHwvuVvf/ubERUVZaxevdrIzMx0Lfn5+a51Hn30USMqKspYtmyZsWXLFmPUqFFGfHy8kZeXZ2Llp+Zkx3348GHjrrvuMjZs2GCkpaUZX3zxhdG3b1/jtNNOa9DHPX36dGPt2rVGWlqa8eOPPxr333+/4efnZ6xatcowDO98rw3jxMftre/18Rx79Zq3vufHKn/c3vqe33XXXcbq1auNnTt3Gl999ZVxySWXGBEREcauXbsMw/De9/pEx+2t77VhGMY333xj+Pv7Gw8//LCxY8cO4+233zZCQ0ONt956y7WOp95zBakTACpdXn/9ddc6drvdmDlzphEXF2cEBQUZ5513nrFlyxbzivaAkx13fn6+kZycbMTExBgBAQFGy5YtjfHjxxvp6enmFn6KbrjhBiMxMdEIDAw0YmJijMGDB7tClGF453ttGCc+bm99r4/n2CDlre/5scoft7e+5yNHjjTi4+ONgIAAo3nz5sYVV1xhbN261fW8t77XJzpub32vnf773/8aXbp0MYKCgowOHToYL730ktvznnrPLYZhGDXqNxMRERHxcRojJSIiIlJDClIiIiIiNaQgJSIiIlJDClIiIiIiNaQgJSIiIlJDClIiIiIiNaQgJSIiIlJDClIiIiIiNaQgJSKms1gsfPDBBzV+/axZszjzzDM9Vk9VrV69GovFgsViYcSIER7Z1qFDhzxSW22aMGGC67hP5X0T8QYKUiI+wvnBd7xlwoQJZpdYqarUfffdd/P555+bVuMvv/zCggULTmkb/fr1IzMzk6ioKM8UVaZVq1bMnTvXo9t85plnyMzM9Og2RRoqf7MLEJG6Uf6Db8mSJfzjH/9wuzt6SEiI2/olJSUEBATUWX3HU5W6w8PDCQ8PN6M8AJo1a0ajRo1OaRuBgYHExcV5pqBaFhUV5fHAJ9JQqUdKxEfExcW5lqioKCwWi+txYWEhjRo14t1332XgwIEEBwfz1ltvsX//fkaNGkWLFi0IDQ2la9euLFq0yLXNF198kdNOOw273e62r8suu4zx48e7Hv/3v/8lKSmJ4OBg2rRpw0MPPURpaekp1+1sO/bU3oQJExgxYgSPPPIIsbGxNGrUyLXPv//97zRp0oQWLVrw2muvue1rz549jBw5ksaNG9O0aVOGDx/Orl27qv29HjhwIHfccQdTpkyhcePGxMbG8tJLL3H06FGuv/56IiIiaNu2LR9//LHrNcee2luwYAGNGjXi008/pWPHjoSHh3PhhRe6BcuBAwcyZcoUt32PGDHC1bs4cOBAdu/ezdSpU109eE4bNmzgvPPOIyQkhISEBCZPnszRo0ddz8+bN48zzjiD4OBgYmNjueqqq6r9fRDxBQpSIuJy7733MnnyZLZv387QoUMpLCwkKSmJ5cuX89NPP3HLLbcwduxYvv76awCuvvpqcnJy+OKLL1zbOHjwIJ9++imjR48G4NNPP2XMmDFMnjyZbdu28eKLL7JgwQIefvjhWj2W//3vf/z555+sXbuWp556ilmzZnHJJZfQuHFjvv76ayZOnMjEiRPJyMgAID8/n0GDBhEeHs7atWtZv369K7wUFxdXe/9vvPEG0dHRfPPNN9xxxx387W9/4+qrr6Zfv358//33DB06lLFjx5Kfn3/cbeTn5/PEE0/w5ptvsnbtWtLT07n77rurXMOyZcto0aIFs2fPJjMz0xXCtmzZwtChQ7niiiv48ccfWbJkCevXr2fSpEkAfPfdd0yePJnZs2fzyy+/8Mknn3DeeedV+3sg4hMMEfE5r7/+uhEVFeV6nJaWZgDG3LlzT/raiy66yLjrrrtcjy+77DLjhhtucD1+8cUXjbi4OKO0tNQwDMPo37+/8cgjj7ht48033zTi4+NdjwHj/fffr3bdTjNnzjS6d+/uejx+/HgjMTHRsNlsrrb27dsb/fv3dz0uLS01wsLCjEWLFhmGYRivvvqq0b59e8Nut7vWKSoqMkJCQoxPP/200nq++OILAzAOHjzo1j5gwADj3HPPrbCvsWPHutoyMzMNwNi4cWOl23r99dcNwPjtt99cr3n++eeN2NhYt/3ceeedbvsePny4MX78eNfjxMRE4+mnn3ZbZ+zYscYtt9zi1rZu3TrDz8/PKCgoMJYuXWpERkYaeXl5lR63U1XfNxFvpjFSIuLSq1cvt8c2m41HH32UJUuWsGfPHoqKiigqKiIsLMy1zujRo7nllluYN28eQUFBvP3221x77bVYrVYANm3axLfffuvWA2Wz2SgsLCQ/P5/Q0NBaOZbOnTvj5/dXp3tsbCxdunRxPbZarTRt2pTs7GxXnb/99hsRERFu2yksLOT333+v9v67detWYV9du3Z1qwdw7b8yoaGhtG3b1vU4Pj7+hOtXlfNY3377bVebYRjY7XbS0tK44IILSExMpE2bNlx44YVceOGFXH755bX2Xok0ZApSIuJSPiABPPnkkzz99NPMnTuXrl27EhYWxpQpU9xOdV166aXY7XZWrFhB7969WbduHU899ZTrebvdzkMPPcQVV1xRYX/BwcG1dizHDpS3WCyVtjnHd9ntdpKSktzChVNMTIzH9+8cr3Ts+LKTbcMwDNdjPz8/t8fguEjgZOx2O7feeiuTJ0+u8FzLli0JDAzk+++/Z/Xq1axatYp//OMfzJo1i2+//faUB9WLeBsFKRE5rnXr1jF8+HDGjBkDOD6Ad+zYQceOHV3rhISEcMUVV/D222/z22+/0a5dO5KSklzP9+zZk19++YXTTz+9zuuvjp49e7JkyRKaNWtGZGSk2eVUSUxMjNvgc5vNxk8//cSgQYNcbYGBgdhsNrfX9ezZk61bt57wPfH392fIkCEMGTKEmTNn0qhRI/73v/9VGohFfJkGm4vIcZ1++umkpKSwYcMGtm/fzq233kpWVlaF9UaPHs2KFSt47bXXXKHL6R//+AcLFy5k1qxZbN26le3bt7NkyRIeeOCBujqMKhk9ejTR0dEMHz6cdevWkZaWxpo1a7jzzjv5448/zC6vUueffz4rVqxgxYoV/Pzzz9x2220VJvRs1aoVa9euZc+ePeTk5ACOiwo2btzI7bffTmpqKjt27OCjjz7ijjvuAGD58uU8++yzpKamsnv3bhYuXIjdbqd9+/Z1fYgi9Z6ClIgc14MPPkjPnj0ZOnQoAwcOJC4urtIZvM8//3yaNGnCL7/8wnXXXef23NChQ1m+fDkpKSn07t2bs88+m6eeeorExMQ6OoqqCQ0NZe3atbRs2ZIrrriCjh07csMNN1BQUFBve6huuOEGxo8fz7hx4xgwYACtW7d2640CmD17Nrt27aJt27auU5TdunVjzZo17Nixg/79+9OjRw8efPBB4uPjAWjUqBHLli3j/PPPp2PHjrzwwgssWrSIzp071/kxitR3FuPYE+wiIlIlq1evZtCgQRw8eNAnxw5ZLBbef//9U749jkhDph4pEZFT1KJFC0aNGmV2GXVm4sSJps4kL1KfqEdKRKSGCgoK2LNnDwDh4eEN5hYvpyo7O5u8vDzAMSXDsVd7ivgSBSkRERGRGtKpPREREZEaUpASERERqSEFKREREZEaUpASERERqSEFKREREZEaUpASERERqSEFKREREZEaUpASERERqaH/B4AJAlZ26gkVAAAAAElFTkSuQmCC\n", + "text/plain": "<Figure size 640x480 with 1 Axes>" + }, + "metadata": {}, + "output_type": "display_data" + } + ] + } + }, + "853ac92d93bf4f1386363ef9d907c589": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "869499b6fbea4715b4fb5a8a63384f5c": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "initial" + } + }, + "86e1e23be66a4c5e9419b9f3686f3519": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "88d3886f1827468b947c3fc5b8970ecb": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "t_accident", + "layout": "IPY_MODEL_f104eea6bc2a4c9b93bdc17347744de6", + "max": 60, + "min": 5, + "step": 5, + "style": "IPY_MODEL_2d4a20417d044afcaf61f059716e5ebc", + "value": 10 + } + }, + "892aced71d0140a48243e07efbf54f4f": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "VBoxModel", + "state": { + "_dom_classes": [ + "widget-interact" + ], + "children": [ + "IPY_MODEL_b9b532f5518f4a159e8a416143eba53d", + "IPY_MODEL_5f1a83ad2b454d0f802985af20993727", + "IPY_MODEL_4cfc18f404d74f96a0f52738322a7e45", + "IPY_MODEL_100c0581cfc747c8af541fc9d5145845", + "IPY_MODEL_b4ae300d9cfa4267a8f157cf7eeedea5", + "IPY_MODEL_e5174c32d6de44218f37e6442c81063b", + "IPY_MODEL_7dadfb09825746b39cfca7a47bcc2740", + "IPY_MODEL_f0c87e070a5646479350445fd78c2e0f", + "IPY_MODEL_8ac63bf062834a3bbf7b4c0c3b3fc50e", + "IPY_MODEL_d34b1a0a4a4f4545a129ef56988bebf4", + "IPY_MODEL_84b87cab5bd3437d955a7851dafdaf7f" + ], + "layout": "IPY_MODEL_08f445fa1f7a42dab8956fa6ca209e16" + } + }, + "8ac63bf062834a3bbf7b4c0c3b3fc50e": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "CheckboxModel", + "state": { + "description": "Distribution, no interventions", + "disabled": false, + "indent": false, + "layout": "IPY_MODEL_0187e7214d8a445dbb5c831f13f34dd3", + "style": "IPY_MODEL_a552a0d7442c41ad9fdcf735b583dff0", + "value": true + } + }, + "8de8ac7ccefe46f78fc8d7d9de845013": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "8ec2f013205f4c4797cb03608de966e9": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "96151c6995104b5ab6cfa85d2114d4b8": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "t_0", + "layout": "IPY_MODEL_4a4cb1653cd14b8ba63f5ce8b294857f", + "max": 32, + "min": 26, + "step": 0.5, + "style": "IPY_MODEL_6cd0a2b1a14342bd9651d2db5a05be10", + "value": 28.5 + } + }, + "9b82df908c8b40248e3f065ede04b43b": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "9daea46dd3004ad2a39098dc8f0c4d83": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "CheckboxModel", + "state": { + "description": "Distribution, no interventions", + "disabled": false, + "indent": false, + "layout": "IPY_MODEL_8de8ac7ccefe46f78fc8d7d9de845013", + "style": "IPY_MODEL_0bb275f5ec1542b5ae0ef636577f1b72", + "value": true + } + }, + "9f01a383259449be8eee6cce670c7641": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "C", + "layout": "IPY_MODEL_ba029c7af3054cc7a46cd3bc491ac4a6", + "max": 7000, + "min": 4000, + "step": 100, + "style": "IPY_MODEL_83fd64cc893c429bae04c91ebe52209b", + "value": 5600 + } + }, + "a16439206a34479da22d97225c4220cb": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "description_width": "" + } + }, + "a552a0d7442c41ad9fdcf735b583dff0": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "description_width": "" + } + }, + "a6366e489ea64c94b53a44cd90d3509b": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DropdownModel", + "state": { + "_options_labels": [ + "None", + "1", + "2" + ], + "description": "1: Extra Lanes", + "index": null, + "layout": "IPY_MODEL_51bf0d7f0a8c441db6161ae646a407b7", + "style": "IPY_MODEL_52ddf983296042168eadf3ef742c3de1" + } + }, + "a9a413eef0ff44d3ade17141373257de": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "ac52d024453d4073a77795b4082f8fe5": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "3: Speed", + "layout": "IPY_MODEL_e1af691108804baaaaa56eebff580f06", + "max": 170, + "min": 1, + "step": 10, + "style": "IPY_MODEL_80b5142c6fce447a96f3bdafaff94e14", + "value": 130 + } + }, + "aeeb304402b0462cb994598fa86e6796": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "b0a6b79bf7bc49489632e3dc04c373fb": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "b150edabeff74e6bb2994d402dca96cd": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "b4ae300d9cfa4267a8f157cf7eeedea5": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "5: Incident Management", + "layout": "IPY_MODEL_86e1e23be66a4c5e9419b9f3686f3519", + "min": 1, + "step": 10, + "style": "IPY_MODEL_1087ad9b423d40ff9b9d0d0a4b24df42", + "value": 1 + } + }, + "b9b532f5518f4a159e8a416143eba53d": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DropdownModel", + "state": { + "_options_labels": [ + "None", + "1", + "2" + ], + "description": "1: Extra Lanes", + "index": null, + "layout": "IPY_MODEL_4c76dbfaddda4c84888c273562e48074", + "style": "IPY_MODEL_75c1f539256c4115a4eb71ca610b6baf" + } + }, + "b9d80e0f8cc644829e3b5ea6cedcdd66": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "initial" + } + }, + "ba029c7af3054cc7a46cd3bc491ac4a6": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "bb7a481065664052a1c2dd14393b571d": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "c02af5dbfda345779d1ed59ab7e606d5": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "c0bdaad2190343f5b8c103bbd6bd9257": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "VBoxModel", + "state": { + "_dom_classes": [ + "widget-interact" + ], + "children": [ + "IPY_MODEL_96151c6995104b5ab6cfa85d2114d4b8", + "IPY_MODEL_6580aaf036a6475abc0c0832c04510fd", + "IPY_MODEL_5806dda8eabb4e7d97f2e379167ce5d9" + ], + "layout": "IPY_MODEL_26c9d8ccf54242c0b94fb533b091b19d" + } + }, + "d00800ac309946df9291756aa1ffcbc4": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "VBoxModel", + "state": { + "_dom_classes": [ + "widget-interact" + ], + "children": [ + "IPY_MODEL_88d3886f1827468b947c3fc5b8970ecb", + "IPY_MODEL_9f01a383259449be8eee6cce670c7641", + "IPY_MODEL_d457391a891f412db94c5c719c19a9db", + "IPY_MODEL_22f1b77ee9c1494d92078b1300a98833", + "IPY_MODEL_4fefe5bdbf3f4be8bf2f032fddb4b8f7" + ], + "layout": "IPY_MODEL_5587e0efb67f4453a7598ec815e422bb" + } + }, + "d34b1a0a4a4f4545a129ef56988bebf4": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ToggleButtonsModel", + "state": { + "_options_labels": [ + "PDF", + "CDF", + "1-CDF" + ], + "button_style": "", + "description": "Plot Type:", + "icons": [], + "index": 0, + "layout": "IPY_MODEL_ff68c66b64af4e308edaf79d636caf78", + "style": "IPY_MODEL_f6751048669c4ee3931c28b61d183f18", + "tooltips": [] + } + }, + "d457391a891f412db94c5c719c19a9db": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "rCf", + "layout": "IPY_MODEL_38cfb9ece79a4347a7bf1842d6ea3932", + "max": 0.6, + "min": 0.1, + "step": 0.1, + "style": "IPY_MODEL_7b28a775fe594b7d851b4a210e0eb11e", + "value": 0.2 + } + }, + "e1af691108804baaaaa56eebff580f06": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "e5174c32d6de44218f37e6442c81063b": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "6: Accident Risk Reduction", + "layout": "IPY_MODEL_57e3c907cb71406a8ccbb9b398698b8d", + "min": 1, + "step": 10, + "style": "IPY_MODEL_ee79a8ff52934cffb12227cd7c049065", + "value": 1 + } + }, + "ee79a8ff52934cffb12227cd7c049065": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "SliderStyleModel", + "state": { + "description_width": "initial" + } + }, + "eee3ad0fd45c47d5ab47454238d366a2": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "f0c87e070a5646479350445fd78c2e0f": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatSliderModel", + "state": { + "description": "8: Modal Shift, Cars", + "layout": "IPY_MODEL_23783a41b3db4b2095ac7bcab87a74ae", + "max": 20, + "step": 4, + "style": "IPY_MODEL_26045de01f29405180b7e1b1434ce181" + } + }, + "f104eea6bc2a4c9b93bdc17347744de6": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + }, + "f6751048669c4ee3931c28b61d183f18": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ToggleButtonsStyleModel", + "state": { + "button_width": "", + "description_width": "" + } + }, + "ff68c66b64af4e308edaf79d636caf78": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": {} + } + }, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/book/notebooks/traffic/exercise_traffic.zip b/book/notebooks/traffic/exercise_traffic.zip new file mode 100644 index 0000000..f73843d Binary files /dev/null and b/book/notebooks/traffic/exercise_traffic.zip differ diff --git a/book/other-topics/test_codeblocks.md b/book/other-topics/test_codeblocks.md new file mode 100644 index 0000000..826213d --- /dev/null +++ b/book/other-topics/test_codeblocks.md @@ -0,0 +1,49 @@ +# Including a code block and a figure + +Here is a code block that is parsed from a python file: + +```{eval-rst} +.. literalinclude:: ../code/sinewave.py + :language: python +``` + +Which is the result of: + + ```{eval-rst} + .. literalinclude:: sinewave.py + :language: python + ``` + +We can toggle the code block by nesting it inside a `toggle` directive: + + ```{toggle} + ```{eval-rst} + .. literalinclude:: sinewave.py + :language: python + ``` + +Note the single `-triplet at the end of the toggle. + +````{toggle} +```{eval-rst} +.. literalinclude:: ../code/sinewave.py + :language: python +``` +```` + +The Python file saves the figure, so we can include it using the regular markdown recipe: + + +```{figure} ../figures/sinewave.svg +--- +name: sine_wave +--- +A sine wave +``` + +```{figure} ../figures/cosinewave.svg +--- +name: cosine_wave +--- +A cosine wave +``` \ No newline at end of file diff --git a/book/prob-design/01-one-random-variable.md b/book/prob-design/01-one-random-variable.md new file mode 100644 index 0000000..2555a3d --- /dev/null +++ b/book/prob-design/01-one-random-variable.md @@ -0,0 +1,78 @@ +(prob_design_1_rv)= +# One Random Variable + +Consider a river that is protected by dikes, earthen embankments with the purpose of keeping water in the river channel and preventing flooding of the hinterland. The dikes should be designed and build such that the height allows the river to safely pass the maximum discharge every year, measured in m$^3$/s. A rating curve ({numref}`rating_curve`) gives us the relationship between discharge and water depth, $h_w$, so if we know what the maximum discharge is, we can build our dikes to the critical height, $h_{dike}\geq h_w$. But there is a problem---what is the maximum discharge in the river each year? How would we even go about determining this value? One way is to make observations and find the highest recorded data point. For example, in 1995 the Rhine River reached a discharge of around 12,000 m$^3$/s, the highest recorded level to date. But even with over 100 years of measurements, the record is not complete: there could always be a bigger discharge. Another approach could be to come up with a number that is, beyond a reasonable doubt, impossible to exceed. Many experts believe that 16,000 m$^3$/s is getting close to an upper limit, and 20,000 m$^3$/s may be physically impossible. Which of these two values should we choose for the design of our dike, and why?[^expensive-option] + +```{figure} ../figures/rating_curve.svg +--- +height: 400px +name: rating_curve +--- +Rating curve for hypothetical river. Relationship is $q=C \cdot h_w^\beta$ where $\beta$=2.0 and $C$=4.0. +``` + +This is a difficult question because the actual discharge observed in a given year is random. In addition to other variables, it is largely dependent on rainfall in the drainage basin, which is impossible to predict far in advance---certainly not for the entire year. Furthermore, we don't have a way to accurately extrapolate our past observations to identify a logical maximum discharge. For this reason, we will use a continuous probability distribution to quantify the probability associated with a specific maximum discharge, $q$, that might be observed in a given year, defined by the PDF $f_{Q}(q)$ and CDF $F_{Q}(q)$. The only other piece of information needed is a design standard---a probability that defines the discharge to use for our design. Other chapters in this book cover the derivation of a design standard, so for this discussion we will assume that a flooding probability of 1/100 has already been determined as the acceptable level. Because there is only one random variable, we can use the PDF to determine the design discharge ({numref}`design_1_rv`). + +```{figure} ../figures/design_1_rv.svg +--- +height: 400px +name: design_1_rv +--- +PDF and design value for river discharge with 0.01 probability of exceedance: $q_{design}=155 \: \text{m}^3\text{/s}$. +``` + +In particular, we note that failure occurs for high discharge, so we must use the complementary CDF to find the design value, in this case probability of exceeding $q_{\mathrm{design}}$: + +$$ +1-F_{Q}(q_{\mathrm{design}})=0.01 +$$ + +$$ +q_{\mathrm{design}}=F_{Q}^{-1}(1-0.01)=155\:\text{m}^3\text{/s} +$$ + +after which the water depth and minimum dike height can easily be determined from the rating curve: + +$$ +h_{dike}=h_{w,design}=\left(\frac{q_{design}}{C}\right)^{1/\beta}=6.23 \text{m} +$$ + +Recalling the *safety margin* limit state from the previous section, $M=R-S$, we can see that randomness plays a role through the load variable, $S$, such that + +$$ +M=R-S=h_{dike}-h_{w,design} +$$ + +If the condition $M<0$ defines flooding (i.e., failure) and if $q$ is the only random variable, we have successfully ensured a situation where the flooding probability is 0.01. + +**Reflection on the Simple Example** + +Is this an oversimplification of reality? Perhaps, but it gets pretty close. Many flood protection systems in the world use an exceedance proabability approach to probabilistic design: choosing a specific and making sure the component or system can handle the load. This works well when the primary source of uncertainty is the load: the river discharge in this case. + +We also took for granted that a simple relationship between river discharge and water depth is available. However, this is never the case, as such a relationship depends on the cross-sectional shape and roughness of the floodplain, which not only varies along the river trajectory, but also changes due to natural phenomenon and human interventions. This introduces additional uncertainty into our assessment of whether the dikes are high enough. + +Fortunately there is also extra conservatism built into this approach. For example, duration of high water plays a role: if discharge exceeds the capacity of the dike system, but only lasts for a short time (minutes or a couple hours), perhaps the dikes can withstand the overflow without eroding and causing flooding. This can be conceptualized by considering the joint probability of a high discharge *and* degradation of the dike leading to flooding: + +$$ +P(\text{flooding},h_w>h_{dike})=P(\text{flooding}|h_w>h_{dike})\cdot P(h_w>h_{dike}) +$$ + +where the conditional term represents the probability that the dike erodes (fails) given that the water depth exceeds the height. Assuming failure when the critical water depth is exceeded is conservative because it implies $P(\text{flooding}|h_w>h_{dike})=1.0$, whereas in reality this is not the case, and the 'true' flooding probability is less than that computed in the equation above. + +Later chapters of this book will introduce methods for taking these realities into account in the design and decision-making process. For now, we will see how our probabilistic design changes when more than one random variable must be considered. + +<!-- ## Old stuff + +Let's consider that the load is random. + +Discrete. + +Continuous. + +Illustration of exceedance probability approach. Compare 1/10,000 with: +$$ +\int_{-\infty}^{+\infty}f(\text{levee failure}|h)\cdot f(h)\: \text{d}h +$$ --> + + +[^expensive-option]: Although the 20,000 m$^3$/s value is tempting because it is the most safe option, it is probably prohibitively expensive to build! \ No newline at end of file diff --git a/book/prob-design/02-two-random-variables.md b/book/prob-design/02-two-random-variables.md new file mode 100644 index 0000000..2843d63 --- /dev/null +++ b/book/prob-design/02-two-random-variables.md @@ -0,0 +1,191 @@ +(prob_design_2_rv)= +# Two Random Variables + +The previous section illustrated how a decision for dike height, $h_{dike}$, can take into account uncertainty in river discharge. We used a maximum allowable probability of flooding to derive the specific value of discharge, $q_{design}$, that should be used to choose $h_{dike}$. This was necessary because there was otherwise no way of establishing what the maximum discharge should be. The only variable considered to be random was the maximum river discharge that occurs each year. This section considers how the design process becomes more complicated when *two* random variables are considered (two load variables). + +````{admonition} Distribution for $q_1$ and $q_2$ +:class: dropdown +On this page all calculations assume the same lognormal distribution for random variables $q_1$ and $q_1$, where the first and second moments of the distribution are: + +$$ +\begin{align*} +E[X] &= \exp\left(\mu + \frac{\sigma^2}{2}\right) = 100\\ +VAR[X] &= \left( \exp(\sigma^2)-1 \right)\exp(2\mu + \sigma^2)= 400 +\end{align*} +$$ +<!-- RRRRRR See the table in [Summary of parametric distribibutions](summary_dist) --> + +For the `lognorm` method in `scipy.stats` we need to provide the parameters shape `s` = $\sigma$, `loc` = 0 and `scale` = $\exp(\mu)$ (see explanation [here](https://mude.citg.tudelft.nl/book/probability/Loc-scale.html)), in this case: +```python +import scipy.stats as stats +s = 0.198 +loc = 0.000 +scale = 98.058 +q_1 = stats.lognorm(s=s, loc=loc, scale=scale) +q_2 = stats.lognorm(s=s, loc=loc, scale=scale) +``` +```` + +## Discharge from Two Rivers + +In this scenario our objective for choosing $h_{dike}$ is still the same, except now we recognize that our location on the river is downstream of a confluence of two smaller rivers. The discharge at the location of our dike is thus the sum of the dicharge from Rivers 1 and 2: + +$$ +q=q_1+q_2 +$$ + +where the same rating curve applies, giving $h_w$ as a function of $q$. As before, acknowledging that the maximum discharge per year in each river is a random variable, we can approach the design problem in the same way: choose $h_{dike}$ such that it retains water when $q$ takes a value with probability of exceedance 0.01. For now, we can assume the distribution for River 1 and River 2 are the same as in the previous Section, and that they are independent. + +*Compared to the previous example, now there are two distributions---how do we find the design discharge and dike height?* + +Before presenting the correct approach, three common mistakes are illustrated. + +### Incorrect Approach 1 + +Find the discharge in each river, $q_1$ and $q_2$, such that the probability of exceeding each discharge is 0.01. As in the previous section, + +$$ +q_{1,\mathrm{design}}=q_{2,\mathrm{design}}=F_{Q}^{-1}(1-0.01)=155\:\text{m}^3\text{/s} \;\rightarrow\; q_{design}=310\:\text{m}^3\text{/s} +$$ + +*Why is this approach incorrect?* + +It considers the simultaneous occurrence of *both* rivers exceeding a design discharge with probability 0.01. This is a joint probability of occurrence, $P(Q_1>q_{1,design},Q_2>q_{2,design})$, which can be evaluated with a multivariate probability distribution (or the marginal distributions in the independent case). The scenario is equivalent to observing two sixes after tossing two dice simultaneously: if the dice are fair, the probability is $1/36$. Thus, for this incorrect case the probability $P(Q_1>q_{1,design},Q_2>q_{2,design})$ is not 0.01, it's actualy 0.01$^2$=0.0001, illustrated in the figure below. + +```{figure} ../figures/design_2_rv_error_1.svg +--- +height: 400px +name: design_2_rv_error_1 +--- +'And' probability for Incorrect Approach 1. +``` + +### Incorrect Approach 2 + +Find the discharge in each river, $q_1$ and $q_2$, such that the joint probability of exceeding these values is 0.01. Since the two rivers are independent, we can solve for our design probability, $p_{design}$: + +$$ +\left(p_{design}\right)^2=0.01\: \rightarrow \: p_{design}=\sqrt{0.01}=0.1 +$$ + +$$ +q_{1,\mathrm{design}}=q_{2,\mathrm{design}}=F_{Q}^{-1}(1-0.1)=126\:\text{m}^3\text{/s} \;\rightarrow\; q_{design}=252\:\text{m}^3\text{/s} +$$ + +```{figure} ../figures/design_2_rv_error_2a.svg +--- +height: 400px +name: design_2_rv_error_2a +--- +'And' probability for Incorrect Approach 2. +``` + +*Why is this approach incorrect?* + +It only considers one scenario! + +There are infinite alternative scenarios that also result in a joint probability of exceedance of 0.01, for example, $0.2\cdot 0.05 = 0.01$: + +$$ +q_1=F_Q^{-1}(1-0.20)=116\:\text{m}^3\text{/s}\;\; \text{and}\;\; q_2=F_Q^{-1}(1-0.05)=136\:\text{m}^3\text{/s} +$$ + +which results in a totally different dike height. + +```{figure} ../figures/design_2_rv_error_2b.svg +--- +height: 400px +name: design_2_rv_error_2b +--- +Comparison of two 'and' probabilities for Incorrect Approach 2. +``` + +### Incorrect Approach 3 + +Since the 'and' case didn't work we can use the 'or' probability, or union! In other words: find the discharge in each river, $q_1$ and $q_2$, such that the probability of either of them being exceeded is 0.01. + +The union probability can be found as follows: + +$$ +P(Q_1>q_1 \cup Q_2>q_2)=1-P(Q_1<q_1,Q_2<q_2) +$$ + +given the assumtion of independence, the union probability is: + +$$ +P(Q_1>q_1 \cup Q_2>q_2)=1-P(Q_1<q_1)\cdot P(Q_2<q_2) +$$ + +Solving for the case where $P(Q_1>q_1 \cup Q_2>q_2)=0.01$ implies the exceedance probability for each river discharge is $\sqrt{1-0.01}=\sqrt{0.99}=0.995$, thus: + +$$ +q_{1,\mathrm{design}}=q_{2,\mathrm{design}}=F_{Q}^{-1}(0.995)=163\:\text{m}^3\text{/s} \;\rightarrow\; q_{design}=326\:\text{m}^3\text{/s} +$$ + +```{figure} ../figures/design_2_rv_error_3.svg +--- +height: 400px +name: design_2_rv_error_3 +--- +'Or' probability for Incorrect Approach 3. +``` + +*Why is this approach incorrect?* + +As with the first two incorrect approaches, it also only considers one specific scenario! There are infinite combinations of $Q_1$ and $Q_2$ such that the union is 0.01. + +### Correct Approach + +The discharge in the main river is the sum of the discharge of its tributaries, thus it is a function of random variables which has a distribution $f_Q(q)$. Thus we can use the distribution of $Q$ to find the design value $q_{design}$ directly. Unfortunately, although $q$ is a linear combination of $q_1$ and $q_2$, because they are lognormally distributed we cannot find a simple analytic expression for the distribution of $q$. However, using Monte Carlo sampling from the distributions of $q_1$ and $q_2$ gives: + +$$ +q_{design}=F_Q^{-1}(1-0.01)=275\:\text{m}^3\text{/s} +$$ + +This is equivalent to integrating the joint probability distribution of $q_1$ and $q_2$ over the region $\Omega$ where $q>275\:\text{m}^3\text{/s}$, illustrated in the figure below, along with the contours of joint probability density. + +```{figure} ../figures/design_2_rv_correct.svg +--- +height: 400px +name: design_2_rv_correct +--- +Correct approach: $P(Q>275\:\text{m}^3\text{/s})=0.01$. Also illustrated is the region $\Omega$ where $q>275\:\text{m}^3\text{/s}$ and contours of joint probability density. +``` +### Comparison of Approaches + +All four design values of $Q$ are collected in the table below, along with the required dike height. Clearly the method of incorporating uncertainty makes a difference, as the height varies over 1 m across all options, which is a significant increase in cost for a structure that is many kilometers long. + +```{list-table} Comparison of design values for all four approaches. +:header-rows: 1 +:name: design_2_rv_comparison + +* - Approach + - Design Value, $q_{design}$ [m$^3$/s] + - Design Value, $h_{dike}$ [m] +* - Incorrect 1 + - 310 + - 8.80 +* - Incorrect 2 + - 252 + - 7.94 +* - Incorrect 3 + - 326 + - 9.03 +* - **Correct** + - **275** + - 8.29 +``` + +## Reflections on the Simple Example + +% Dependence considered in componenet reliability part (and system!) +% Design point consideration NOT included here, and probably not in this book!!! + +We need to be explicit in what we are trying to evaluate. In this case, it is the distribution of a function of random variables, $Q$. + +For non-Gaussian distributions and for non-linear functions of random variables it is often not possible to get the distribution of the function of random variables analytically. Fortunately it is easy to find it numerically through sampling techniques. This will be discussed elsewhere. + +The 'and' and 'or' approaches (intersection and union) are simple, but really only limited to discrete cases. As illustrated above, they cannot be used in the case of continuous random variables, or with functions of random variables because one must integrate across all possible scenarios leading to failure. Nonetheless, these approaches are extremely useful for many situations, and are the basis of *system reliability* problems. + +The situation illustrated here is often referred to as a *component reliability* problem, where the 'component' is defined by a function of random variables. + Although nothing more than a function of random variables,is nothing more than an integration over a specific region of a multivariate probability density function. Often this region describes failure of a component, which we will try to keep below an acceptable level. \ No newline at end of file diff --git a/book/prob-design/example-river-system.md b/book/prob-design/example-river-system.md new file mode 100644 index 0000000..384bb3d --- /dev/null +++ b/book/prob-design/example-river-system.md @@ -0,0 +1,24 @@ +# Flood Management Case Study + +```{note} +The flood management example is covered in the plenary lecture on Jan 9, 2023 (see Brightspace), and has not yet been added to this book. +``` + +As mentioned on Introduction page: +> Throughout this book we will repeatedly draw on the field of flood management to illustrate risk and reliability concepts as this field requires expertise from all perspectives in civil and environmental engineering and geosciences, from climate and hydrologic processes to evacuation and recovery. + +<!-- After introducing key elements of the system, topics may include: +- hazard +- levee failure, conditional on the hazard +- consequences +- integration (sum) to get risk +- assume we can establish a max value, then we can derive the required safety level for our levee +- fragility curve --> + +```{figure} ../figures/simple-city.png +--- +width: 600px +name: simple-city +--- +A simple city that we would like to protect against flooding by the river. +``` \ No newline at end of file diff --git a/book/prob-design/exercise.md b/book/prob-design/exercise.md new file mode 100644 index 0000000..d834ed6 --- /dev/null +++ b/book/prob-design/exercise.md @@ -0,0 +1,13 @@ +# Exercises + +Elsewhere in this book we have covered methods that will allow you to solve the discharge problem on the previous page, for example, propagation of uncertainty, functions of random variables, etc. Try the following exercises to evaluate the distribution of $q$. In each case, you should be able to define both the distribution of $q$ as well as the value of $q_{design}$: + +1. Define the distribution of $q_1$ and $q_2$ as LogNormal using Scipy, then evaluate the distribution of $q$ using Monte Carlo Simulation +2. Approximate the distributions of $q_1$ and $q_2$ using only their moments and use error propagation to approximate the distribution of $q$ +3. Use the moments to define Normal distributions for $q_1$ and $q_2$, then find the distribution of $q$ (hint: it should also be Normal, and you can solve for it analytically) +4. Use the moments to define Normal distributions for $q_1$ and $q_2$, then use the multivariate normal distribution in Scipy to define a correlation coefficient and explore what the effect of dependence between $q_1$ and $q_2$ has on the result. + +```{note} +Solutions to these exercises are on the next page. +``` + diff --git a/book/prob-design/exercise_solutions.ipynb b/book/prob-design/exercise_solutions.ipynb new file mode 100644 index 0000000..2b6f30c --- /dev/null +++ b/book/prob-design/exercise_solutions.ipynb @@ -0,0 +1,308 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "12d4c736-839c-41c2-974e-e472550b1ec4", + "metadata": {}, + "source": [ + "# Solutions\n", + "\n", + "All code required to solve the exercises is provided on this page, with the output included by default. To use the code interactively, click {fa}`rocket` --> {guilabel}`Live Code` on the top right corner of this screen and then wait until all cells are executed. You can also download this page as a notebook to work with on your personal computer.\n", + "\n", + "```{note}\n", + "On this page we adopt the notation of lower-case $q$ used in other sections of this chapter, and do not use the upper-case convention to denote a random variable.\n", + "```\n", + "\n", + "First we import a few packages and define the distributions of $q_1$ and $q_2$ as described on the previous pages." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "baaf5a2b-e837-46f1-bf9d-56bf9cec708c", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import scipy.stats as stats\n", + "\n", + "s = 0.198\n", + "loc = 0.000\n", + "scale = 98.058\n", + "q_1 = stats.lognorm(s=s, loc=loc, scale=scale)\n", + "q_2 = stats.lognorm(s=s, loc=loc, scale=scale)" + ] + }, + { + "cell_type": "markdown", + "id": "a2724e09-9815-4f02-af62-2d595019c1b3", + "metadata": { + "tags": [] + }, + "source": [ + "## Part 1\n", + "\n", + "We can use Monte Carlo simulation to evaluate the problem easily. Remember, there are four essential steps to Monte Carlo Simulation:\n", + "\n", + "1. Define distributions for random variables (probability density over a domain) \n", + "2. Generate random samples \n", + "3. Do something with the samples (deterministic calculation) \n", + "4. Evaluate the results: e.g., “empirical” PDF, CDF of samples, etc.\n", + "\n", + "The solution below also uses the method of moments on the MCS sample to compare the Normal and Lognormal parametric distributions, as well as includes the \"exact\" analytic solution for Parts 2 and 3.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "0b46ebdf-1a24-4de9-a426-286f3f2720a7", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The 99th percentile is index: 9900\n", + "The 99th percentile from the sample is: 275.9 m^3/s.\n", + "The inverse CDF of the Normal dist gives: 266.3 m^3/s.\n", + "The inverse CDF of the LogNormal dist gives: 276.4 m^3/s.\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "N = 10000\n", + "sample_1 = q_1.rvs(size=N)\n", + "sample_2 = q_2.rvs(size=N)\n", + "q = sample_1 + sample_2\n", + "\n", + "q_as_N = stats.norm(*stats.norm.fit(q))\n", + "q_as_LN = stats.lognorm(*stats.lognorm.fit(q))\n", + "\n", + "plot_values = np.linspace(100,400,50)\n", + "plt.hist(q, bins=plot_values,\n", + " density=True,\n", + " edgecolor='black')\n", + "plt.plot(plot_values, q_as_N.pdf(plot_values),\n", + " linewidth=2.5, label='Fit with N')\n", + "plt.plot(plot_values, q_as_LN.pdf(plot_values),\n", + " linewidth=2.5, label='Fit with LN')\n", + "plt.plot(plot_values,\n", + " stats.norm.pdf(plot_values, loc=200, scale=np.sqrt(800)),\n", + " ':', linewidth=2.5, label='Part 2 and 3')\n", + "plt.xlabel('Discharge, $q$ [m$^3$/s]')\n", + "plt.ylabel('Density [--]')\n", + "plt.legend()\n", + "\n", + "get_index = int(np.floor(0.99*(N + 1)))\n", + "print(f'The 99th percentile is index: {get_index}')\n", + "q_percentile = np.sort(q)[get_index - 1]\n", + "print(f'The 99th percentile from the sample is: {q_percentile:.1f} m^3/s.')\n", + "print(f'The inverse CDF of the Normal dist gives: {q_as_N.ppf(0.99):.1f} m^3/s.')\n", + "print(f'The inverse CDF of the LogNormal dist gives: {q_as_LN.ppf(0.99):.1f} m^3/s.')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1fae3f87-afc0-4c3d-a6f3-f634a5422304", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "13773486-ddd6-4bc7-a012-b44fc1f67ed8", + "metadata": {}, + "source": [ + "## Part 2 and 3\n", + "\n", + "Error propagation, as introduced in previous chapters, is a method that relies on a linearized approximation of the function of random variables and assumes that the random variables themselves are normally distributed. This results in the relatively simple equations for computing the moments of the function based on the moments of the random variables, applied below. In this case, since we are only using the moments of the lognormal variables in Part 2, the distribution is identical to that described by Part 3, so the solution is the same.\n", + "\n", + "The expectation is simply:\n", + "\n", + "$$\n", + "\\mathbb{E}(q(q_1,q_2))= q(\\mu_{q_1},\\mu_{q_2}) = \\mu_{q_1} + \\mu_{q_2}\n", + "$$\n", + "\n", + "And, given independent random variables, the variance is:\n", + "\n", + "$$\n", + "\\sigma_q^2 = \\sigma_{q_1}^2 + \\sigma_{q_2}^2\n", + "$$\n", + "\n", + "The partial derivatives have been left out, as they are all +1, and the covariance term is zero. Plugging in values from the exercise:\n", + "\n", + "$$\n", + "\\mathbb{E}(q)= 100 + 100 = 200\n", + "$$\n", + "\n", + "And the variance:\n", + "\n", + "$$\n", + "\\sigma_q^2 = 400 + 400 = 800\n", + "$$\n", + "\n", + "Finally, we can compare the distibution to those found above (see figure). The two normal distributions are very similar to each other, which tells us that the asymettry of the lognormal distribution does not have a big influence on the distribution of $q$." + ] + }, + { + "cell_type": "markdown", + "id": "6da9930f-5409-4bee-a8ea-e4c505355425", + "metadata": {}, + "source": [ + "## Part 4\n", + "\n", + "Here we will use the analytically computed value of the distribution of $q$ and compare the design value $q_{design}$ to the value found with a Monte Carlo Simulation using `scipy.stats.multivariate_norm` and a covariance matrix to generate a plot and compute values. The solution is more complicated that you were expected to provide, in order to illustrate various approaches and insights.\n", + "\n", + "First we find the variance of $q$, which adds an additional term now that the random variables are dependent:\n", + "\n", + "$$\n", + "\\sigma_q^2 = \\sigma_{q_1}^2 + \\sigma_{q_2}^2 + 2\\sigma_{q_1}\\sigma_{q_2}\\rho_{q_1,q_2}\n", + "$$\n", + "\n", + "Resulting in:\n", + "\n", + "$$\n", + "\\sigma_q^2 = 400 + 400 + 2 \\cdot 20 \\cdot 20 \\rho_{q_1,q_2} = 800(1+\\rho_{q_1,q_2})\n", + "$$\n", + "\n", + "Design values are computed below, and as the plot illustrates, increasing correlation coefficient results in a higher likelihood of observing high values of $q$, and therefore the design value increases. The opposite is true with no dependence, as well as negative dependence.\n", + "\n", + "The code cell below does the following:\n", + "- define the analytically derived moments of $q$\n", + "- set up the expectation and covariance matrix for $q_1$ and $q_2$\n", + "- sample from the joint distribution of $q_1$ and $q_2$ and compute the corresponding sample of $q$\n", + "- evalue the empirical design value, $q_{design}$\n", + "- print and plot relevant results\n", + "\n", + "_Change the values in the cell below to explore the problem, especially $\\rho$ and $N$, which can have profound influences on the result: $q_{design}$ and the accuracy of the MCS, respectively._" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "5122d9c9-f239-4914-aa54-3e0cfef79f2f", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The correlation coefficient is: 0.50\n", + "The mean value of q is: 200\n", + "The variance of q is: 1200.0\n", + "The design value for q~N(mu,sigma) is: 280.6 m^3/s\n", + "\n", + "For N = 10000 samples, the 99th percentile is index: 9900\n", + "The 99th percentile from the sample is: 279.3 m^3/s\n", + " ^ this is the 1% design value, q_design, from MCS\n", + "\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rho = +.50\n", + "N = 10000\n", + "\n", + "mu_q = 200\n", + "var_q = 800*(1 + rho)\n", + "\n", + "mu_q1q2 = np.array([100, 100])\n", + "cov_q1q2 = 400*np.array([[1, rho],\n", + " [rho, 1]])\n", + "\n", + "q1q2 = stats.multivariate_normal(mu_q1q2, cov_q1q2)\n", + "sample = q1q2.rvs(size=N)\n", + "\n", + "q_1_dependent = sample[:,0]\n", + "q_2_dependent = sample[:,1]\n", + "q_dependent = q_1_dependent + q_2_dependent\n", + "\n", + "get_index = int(np.floor(0.99*(N + 1)))\n", + "q_percentile = np.sort(q_dependent)[get_index - 1]\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(q_1_dependent, q_2_dependent,\n", + " color='black', label='All samples of q')\n", + "ax.scatter(q_1_dependent[q_dependent>q_percentile],\n", + " q_2_dependent[q_dependent>q_percentile],\n", + " color='red', label='Top 1% of q')\n", + "\n", + "print(f'The correlation coefficient is: {rho:.2f}')\n", + "print(f'The mean value of q is: {mu_q}')\n", + "print(f'The variance of q is: {var_q:.1f}')\n", + "print(f'The design value for q~N(mu,sigma) is: ',\n", + " f'{stats.norm.ppf(0.99, loc=mu_q, scale=np.sqrt(var_q)):.1f} m^3/s\\n')\n", + "print(f'For N = {N} samples, the 99th percentile is index: {get_index}')\n", + "print(f'The 99th percentile from the sample is: {q_percentile:.1f} m^3/s')\n", + "print(' ^ this is the 1% design value, q_design, from MCS\\n')\n", + "\n", + "plt.xlabel('Discharge of river 1, $q_1$ [m$^3$/s]')\n", + "plt.ylabel('Discharge of river 2, $q_2$ [m$^3$/s]')\n", + "plt.title('Samples of river discharge')\n", + "ax.axis('equal');\n", + "ax.legend()\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.4" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/book/prob-design/overview.md b/book/prob-design/overview.md new file mode 100644 index 0000000..2f447ef --- /dev/null +++ b/book/prob-design/overview.md @@ -0,0 +1,41 @@ +(prob_design)= +# Probabilistic Design + +Stated as simply as possible, the term *probabilistic design* implies the use of probability to design something. Although this may sound complex, it is actually not much different than a deterministic approach, where values used to design something are not assumed to be random. For example, the load on a beam, or the maximum discharge expected in a river. In a typical design process, the problem and functional requirements are first defined, the system or component is evaluated and then refined {cite:p}`voorendt2017`. It is ideally an iterative process, where tradeoffs between competing requirements must be considered in order to arrive at an optimal configuration. During much of your university education you have probably learned a variety of techniques to evaluate interesting problems in your field of study; however, only towards the end of a bachelor or master program do you begin to *design* things and take into count information beyond what is written in a simple exam problem to make decisions. The design process is often challenging because there is no single right answer, and it turns out that incorporating probability in the design process can help. + +Consider some arbitrary object--let's call it a thingamajig--which we must design and eventually build. We would like to apply the *factor of safety* approach, which compares load[^solicitation], $S$, to resistance, $R$, such that $FS=R/S$. As long as we make sure that $S$ is less than $R$, or $FS>1$, our thingamajig will never fail. We could also use the *safety margin* approach, where $M=R-S$, which also quantifies the point between safe and unsafe, although here we make sure $M>0$. These so-called *limit states* make the design process quite simple and is a great engineering approach for many situations, for example, if: +1. the values of $R$ and $S$ are precisely known, or the range of values is negligibly small +2. $R$ and $S$ never change (at least not over short time or length scales) +3. $R$ and $S$ are easy to measure in all locations of interest +4. the model used to design the thingamajig is nearly perfect +5. the consequence of a failure is negligible + +In situations like this you can make your design decision and rest assured that there won't be any lawyers knocking on your door in the near future because the thingamajig broke. + +For many situations, however, a deterministic analysis is not wise because we cannot guarantee that our thingamajig will always survive. When $R$ and/or $S$ can take on a range of possible values, all of a sudden there is a chance that our thingamajig is *not* reliable: there is a distinct probability it may *fail.* Part of this book is concerned with the quantification of what is often called the *failure probability,* $p_f$, for which there are many different techniques. These techniques all rely on probability theory because it allows us to quantitatively account for the following in our engineering process: + +1. imprecise measurements +2. model error +3. randomness in some of our important design variables +4. risk-based design criteria and safety standards + +These are just a few examples, where items 3 and 4 are the focus of the following chapters, and items 1 and 2 have already been considered elsewhere in MUDE. + +%Sometimes we have criteria, sometimes we do not. + +## Chapter Overview + +%Terms and definitions first?? +%Aleatoric and epistemic. +%Sometimes we don't have a structure. Then we can consider just the *hazard*. + +A probabilistic design is illustrated in the following sections, first with the simple cases of one random variable. Then an example with two random variables is used, which can be referred to as a *bivariate* case. This is more insightful than the univariate case because it allows us to consider the quantitative and qualitative influence of dependence, as well as the functional relationship between two variables and their joint probability density (e.g., union, intersection or limit-states). + +The evaluation and design of a river flood protection system is used to introduce key aspects of risk and reliability, as well as the design process. A distinction is made between using probability to assess engineering components and systems (reliability analysis) and to derive design criteria (risk evaluation), which are introduced formally in later chapters after the general risk analysis framework is discussed. + +--- + +_The primary author for this chapter is Robert Lanzafame._ + +[^solicitation]: $S$ stands for solicitation. While this letter and word are much more pedantic-sounding than simply using load, or $L$, it is widely used in the structural engineering field, where component reliability methods were pioneered. Here we take a broader approach on the subject. Classical texts are {cite:t}`adk2022`, {cite:t}`moss2020` and {cite:t}`ditlevsen1996`. +%[^pattern]: The word *paradigm* is not used because it suggests completeness. The examples here, are meant to be used as illustrations for key concepts, and extended to other situations and higher dimensions, so *pattern* seems more appropriate. \ No newline at end of file diff --git a/book/references.md b/book/references.md new file mode 100644 index 0000000..5fd6c7d --- /dev/null +++ b/book/references.md @@ -0,0 +1,3 @@ +# References +:::{bibliography} +::: diff --git a/book/reliability-component/contamination.ipynb b/book/reliability-component/contamination.ipynb new file mode 100644 index 0000000..84093c7 --- /dev/null +++ b/book/reliability-component/contamination.ipynb @@ -0,0 +1,555 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "49a19d81", + "metadata": { + "tags": [ + "thebe-remove-input-init" + ] + }, + "source": [ + "```{custom_download_link} exercise.zip\n", + ":text: \"Download Files\"\n", + ":replace_default: \"True\"\n", + "```" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "bcb1b890", + "metadata": {}, + "source": [ + "# Contaminant Transport" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0e18b539", + "metadata": { + "tags": [ + "thebe-remove-input-init", + "thebe-init" + ] + }, + "outputs": [], + "source": [ + "import micropip\n", + "await micropip.install(\"seaborn\")\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy.special import erfc\n", + "from scipy import stats\n", + "import seaborn as sns\n", + "\n", + "from exercise_setup import process_negative_values\n", + "from exercise_setup import RandomVariableDistribution\n", + "from exercise_setup import pdf_of_function_of_RV\n", + "from exercise_setup import monte_carlo" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "06fa7af4", + "metadata": {}, + "source": [ + "`````{admonition} Interactive Python Page\n", + ":class: tip, dropdown\n", + "\n", + "The code on this page can be used interactively: click {fa}`rocket` --> {guilabel}`Live Code` in the top right corner, then wait until the message {guilabel}`Python interaction ready!` appears.\n", + "\n", + "When this page is activated:\n", + "- Several packages will be imported automatically\n", + "- Code cells will **not** be executed automatically (you do it!)\n", + "\n", + "The download button {fa}`download` provides a `*.zip` file with everything needed to run this analysis on your computer. \n", + "\n", + "````{admonition} Which packages are imported when this page is activated?\n", + ":class: note, dropdown\n", + "```\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy.special import erfc\n", + "from scipy import stats\n", + "import seaborn as sns\n", + "\n", + "from exercise_setup import process_negative_values\n", + "from exercise_setup import RandomVariableDistribution\n", + "from exercise_setup import pdf_of_function_of_RV\n", + "from exercise_setup import monte_carlo\n", + "```\n", + "````\n", + "`````\n", + "Here we use component reliability methods to evaluate the probability of a contaminant causing dangerous concentrations in a groundwater well. The contaminant plume is transported on the groundwater phreatic surface due to advection and diffusion.\n", + "\n", + "The purpose of this exercise is to:\n", + "- evaluate component reliability\n", + "- illustrate functions of random variables\n", + "- see the effect of random variable distributions on reliability\n", + "- consider 'sensitivity' as a functional and/or stochastic influence on the limit-state function\n", + "\n", + "### Instructions for Interactive Programming Exercise\n", + "\n", + "This page is designed to lead you through the analysis sequentially, so we recommend executing the cells one-by-one as you read through the page. Afterwards, you are welcome to use the \"run all\" button to execute all cells on the page.\n", + "\n", + "Once the interactive feature {fa}`rocket` is activated, you can use the code cells to answer the following questions:\n", + "1. Which random variables have the biggest influence on reliability?\n", + "2. How does the assumption of probability distribution influence reliability?\n", + "3. Do the random variables act as loads or resistances?\n", + "\n", + "## Introduction of Case Study\n", + "\n", + "The case study is a contaminant transport problem, illustrated in the figure below. A factory located near a town produces hazardous waste, which can threaten the drinking water supply of the town that is extracted from groundwater wells (C). The regional groundwater system has a gradient that causes water to flow in the direction of the town from the factory, thus any spilled hazardous waste that enters the ground will eventually be transported to the wells. In order to mitigate the consequences of a spill a ditch is constructed around the factory to collect it (A). Unfortunately, even with powerful pumps, there will still be some waste that reaches the groundwater table. Our task is to quantify the probability that the waste concentration exceeds the maximum exposure level to prevent the drinking water becoming unhealthy.\n", + "\n", + "```{figure} ../notebooks/contamination/figures/sketch.png\n", + "---\n", + "width: 600px\n", + "name: sketch_contaminant\n", + "---\n", + "\n", + "```\n", + "\n", + "### Contaminant Transport\n", + "\n", + "Once the ditch becomes contaminated it is cleaned quickly, but unfortunately a 'pulse' of contamination enters the ground, after which the regional gradient carries it towards the town (advection). The pulse also disperses due to diffusion, which results in a classic advection-diffusion problem (see red shapes in diagram, at three different times, $t$). Because the ditch extends a long distance in the lateral direction and the contaminant is buoyant (it floats on the groundwater table and we neglect vertical dispersion), the problem can be analyzed in 1 dimension with the following analytic expression:\n", + "\n", + "$$\n", + "\\frac{C}{C_0} = \\frac{1}{2} \\mathrm{erf}\\left(\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)\n", + "$$\n", + "\n", + "Where $C$ contaminant concentration (e.g., parts per million, ppm) at distance $x$ from the ditch at time $t$ after the spill, and $C_0$ is the concentration in the ditch (just prior to cleanup). $\\mathrm{erf}$ is the error function. There are three parameters in the equation which are related to soil properties and groundwater flow:\n", + "\n", + "- $q$ is the horizontal groundwater flow velocity (specific discharge) [m/day]\n", + "- $n$ is the soil porosity [$-$]\n", + "- $a$ is the longitudinal dispersivity, which describes dispersion in the left to right direction in the image [m]\n", + "\n", + "Unfortunately there is not a lot of soil information, so we have to take into account uncertainty in these three variables, using the following probability distributions with first and second moments (i.e., $\\mu$ and $\\sigma$).\n", + "\n", + "- $q\\sim\\mathrm{N}\\left(\\mu_q=1.00,\\sigma_q=0.10\\right)$\n", + "- $n\\sim\\mathrm{N}\\left(\\mu_n=0.20,\\sigma_n=0.02\\right)$\n", + "- $a\\sim\\mathrm{N}\\left(\\mu_a=10.0,\\sigma_a=1.00\\right)$\n", + "\n", + "It is important to check the sensitivity of the reliability analysis to the distribution type and moments. We will use the concentration ratio $C/C_0$ to evaluate this problem and compare it to a threshold defined by health regulations: $\\mathrm{threshold}=1e-4$.\n", + "\n", + "### Definition of Limit States\n", + "\n", + "As shown in the figure above, there are two locations of interest: the monitoring station ($x=100$ m from the ditch, point B) and the town well ($x=500$ m, point C). We are interested in evaluating two cases with a reliability analysis:\n", + "1. Whether the contamination can be detected at the monitoring station above the threshold level within 1 week of the spill, and \n", + "2. If the contamination level at the town groundwater well exceeds the threshold level within 1 month of the spill (30 days)\n", + "\n", + "Relating these descriptions to our variables of interest:\n", + "1. find the probability that $C/C_0$ > threshold \n", + "2. find the probability that $C/C_0$ < threshold\n", + "\n", + "We will refer to these values as 'failure probabilities', even though case 1 technically doesn't correspond to failure---it's just the way we refer to things in practice.\n", + "\n", + "Next we will convert these into functions that will allow us to quantify the 'failure' conditions. For convenience, it is often useful to define the limit state as a function, $Z$, such that failure occurs when $Z<0$. It follows from the descriptions above, that the limit state functions for both cases are:\n", + "\n", + "1. $Z=C/C_0 - \\mathrm{threshold}$\n", + "2. $Z=\\mathrm{threshold} - C/C_0$\n", + "\n", + "NB: *in the book another notation used for $Z$ is $g_X(X)$.*\n", + "\n", + "### Analysis Approach\n", + "\n", + "Our programming task is to create a function of random variables to represent these two limit-states, define the random variables, then evaluate the reliability with Monte Carlo simulation. In other words, we will numerically approximate the probability distribution of $Z$, then evaluate reliability as $P(Z<0)$.\n", + "\n", + "This is a lot of work, but fortunately a number of helper functions and a Class are provided in the auxiliary file `exercise_setup.py`!\n", + "\n", + "### References\n", + "\n", + "This example draws inspiration from Case 2 of the paper by {cite:t}`sitar1987`." + ] + }, + { + "cell_type": "markdown", + "id": "d104b4b2-4fa5-4b37-891d-39201281ed2f", + "metadata": {}, + "source": [ + "## Defining the Limit States\n", + "\n", + "We only define limit state Case 2 below, and will use a simple multiplying factor of $-1$ to switch to Case 1 using a multiplying factor `flip_LSF`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "64c24956", + "metadata": {}, + "outputs": [], + "source": [ + "def C_C0(q, n, a, x, t):\n", + " \"\"\"Contaminant concentration ratio.\"\"\"\n", + " q, n, a = process_negative_values(q, n, a)\n", + " return 0.5*erfc((x - q/n*t)/(2*np.sqrt(a*(q/n)*t)))\n", + "\n", + "def limit_state_fun(q, n, a, x, t, threshold):\n", + " \"\"\"Limit state fxn, Case 2 (multiply by flip_LSF=-1 for Case 1).\"\"\"\n", + " return threshold - C_C0(q, n, a, x, t)" + ] + }, + { + "cell_type": "markdown", + "id": "d7410d16-14d4-45c6-9f93-81ae08de0594", + "metadata": {}, + "source": [ + "## Class `RandomVariableDistribution`\n", + "\n", + "The class `RandomVariableDistribution` makes it very easy to define Normal and Lognormal distributions for the random variables. See documentation and example below.\n", + "\n", + "NB: *you can use the code in `exercisesetup.py` and this notebook to confirm the result of the 2 random variable case in the Probabilistic Design chapter, and recreate the figures.*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8bbf80be-5124-40ba-b3de-0da3eaa12ef1", + "metadata": {}, + "outputs": [], + "source": [ + "print(RandomVariableDistribution.__doc__)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a9b93099-b1cb-458b-baf6-8ad5dd39c440", + "metadata": {}, + "outputs": [], + "source": [ + "example_random_variable = RandomVariableDistribution()\n", + "example_random_variable.define_distribution(mean=5,\n", + " dist_type='LN',\n", + " print_new_dist=True)\n", + "example_random_variable.plot_pdf_or_cdf()" + ] + }, + { + "cell_type": "markdown", + "id": "62617026-f251-462b-a93c-b7305cfd3fa4", + "metadata": {}, + "source": [ + "## Setting up the problem\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4641ae3c", + "metadata": {}, + "outputs": [], + "source": [ + "N = 10000\n", + "\n", + "t = 7\n", + "x = 100\n", + "threshold = 1e-4\n", + "\n", + "flip_LSF = -1\n", + "\n", + "q_rv = RandomVariableDistribution()\n", + "q_rv.define_distribution(mean=1., stddev=.1)\n", + "n_rv = RandomVariableDistribution()\n", + "n_rv.define_distribution(mean=0.2, stddev=.02)\n", + "a_rv = RandomVariableDistribution()\n", + "a_rv.define_distribution(mean=10., stddev=1.)" + ] + }, + { + "cell_type": "markdown", + "id": "f3e0ffb1-6035-4f76-a550-4ff19c1b5946", + "metadata": {}, + "source": [ + "## Monte Carlo analysis\n", + "\n", + "The Monte Carlo procedure for estimating failure probability, $p_f$, is:\n", + "- For each random variable $X_i$ ($i = 1, …, n$) one simulates N realizations, $x_{i,1}, x_{i,1}, ..., x_{i,N}$. \n", + "- For each set of simulations $j$ ($j = 1, ..., N$) one calculates $g(x_{1,j}, x_{2,j}, …, x_{n,j})$\n", + "- In case $g(.) < 0$ a counter $N_f$ is increased by one. After $N$ simulations one calculates: $\\hat{p_f}=N_f/N$\n", + "- In case $N\\rightarrow+\\infty$ one obtains the failure probability $p_f$.\n", + "\n", + "The number of simulations $N$ directly influences the accuracy of $\\hat{p_f}$, which is an estimate of the 'true' value $p_f$. As an infinite number of simulations is not possible, one must choose a value for $N$ that balances total computation time, which increases linearly with $N$, and accuracy of the estimator $\\hat{p_f}$, which can be determined as the number of significant digits desired for $p_f$, or based on relative error (coefficient of variation, $V=\\sigma/\\mu$. The failure observations, $N_f$, within the Monte Carlo procedure are the result of a sequence of statistically independent and identically distributed random trials in a Bernoulli process. Using the binomial distribution, the standard deviation of of $\\hat{p_f}$ can be written\n", + "\n", + "$$\\sigma_\\hat{p_f}=\\sqrt{\\frac{p_f(1-p_f)}{N}}$$\n", + "\n", + "As $\\hat{p_f}\\rightarrow1$ this leads to the coefficient of variation, $V_\\hat{p_f}$:\n", + "\n", + "$$V_\\hat{p_f}=\\frac{\\sigma_\\hat{p_f}}{\\hat{p_f}}=\\frac{1}{\\sqrt{N\\hat{p_f}}}$$\n", + "\n", + "The coefficient of variation is a useful measure for gauging the accuracy of a Monte Carlo simulation: values of 0.01 are ideal, but 0.1 can be sufficient in many applications, depending on the need for accuracy. For example, consider $V=0.1$ for a target failure probability of $0.01$. Assuming the samples follow a Gaussian distribution implies a probability of 0.997 that the 'true' failure probability is within the interval 0.007-0.013. It is also useful to plot the calculated values of $V$ and $\\hat{p_f}$ for every realization $j = 1, ..., N$, as shown below. The figure clearly shows convergence to a stable value of $\\hat{p_f}$ after X simulations, indicating that for future analyses that are similar can use a lower number of simulations instead ($N\\sim X$).\n", + "\n", + "In case of a target coefficient of variation the number of required simulations $N$ increases as $p_f$ decreases. As an example, for $V = 0.01$ and $p_f=1e-5$ one has to execute $10^9$ simulations. As for this case on average only one of 10^5 simulations leads to an increase of $N_f$, the frequency of obtaining a 'success' (realization in the unsafe domain) is very low. In addition, for low failure probabilities the number of function evaluations is quite high, which may be practically impossible if there is a high function evaluation time, for example with a complex finite element model. To address this problem, variance reducing techniques have been developed which allow the simulations to be performed in a more effective way. In the following the so-called importance sampling or Latin hypercube sampling." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ec7883de-544e-48d5-85f2-dfc7856e9028", + "metadata": {}, + "outputs": [], + "source": [ + "sample_q = q_rv.get_sample(N)\n", + "sample_n = n_rv.get_sample(N)\n", + "sample_a = a_rv.get_sample(N)\n", + "sample_C_C0 = C_C0(sample_q, sample_n, sample_a, x, t)\n", + "sample_Z = flip_LSF*limit_state_fun(sample_q,\n", + " sample_n,\n", + " sample_a,\n", + " x, t, threshold)\n", + "\n", + "monte_carlo(sample_Z);" + ] + }, + { + "cell_type": "markdown", + "id": "d00e1316-c4ac-474d-93ad-18abcda30cfc", + "metadata": {}, + "source": [ + "The method `pdf_of_function_of_RV` makes it easy to see what the distribution of $C/C_0$ and the limit state function for different distributions of q, n or a. Below a second distribution of a is considered:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c08e0e56-8a6b-45a2-ad3f-abe3ce869513", + "metadata": {}, + "outputs": [], + "source": [ + "C_C0_cases = []\n", + "Z_cases = []\n", + "C_C0_cases.append(sample_C_C0)\n", + "Z_cases.append(sample_Z)\n", + "\n", + "a_2 = RandomVariableDistribution()\n", + "a_2.define_distribution(mean=10, stddev=4, dist_type='N')\n", + "C_C0_cases.append(C_C0(sample_q, sample_n, a_2.get_sample(N), x, t))\n", + "Z_cases.append(flip_LSF*limit_state_fun(sample_q,\n", + " sample_n,\n", + " a_2.get_sample(N),\n", + " x, t, threshold))\n", + "\n", + "a_rv.print_status()\n", + "a_2.print_status()\n", + "\n", + "pdf_of_function_of_RV(C_C0_cases)\n", + "pdf_of_function_of_RV(Z_cases, case_C=False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "695f1336-8d3e-4503-9196-9969d181ae10", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "8c197ae8-3a6c-45fe-b304-75f601dbb9ac", + "metadata": {}, + "source": [ + "This is the density of the function of random variables, $C/C_0$, two values of $\\sigma_a$, and a third with the uniform distribution (not using the `RandomVariableDistribution` class)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "53273645-453b-48b9-85c0-e69eb1ac579e", + "metadata": {}, + "outputs": [], + "source": [ + "values_of_RV_1 = sample_q\n", + "values_of_RV_2 = sample_a\n", + "\n", + "g = sns.JointGrid()\n", + "sns.kdeplot(x=values_of_RV_1,\n", + " y=values_of_RV_2, ax=g.ax_joint, bw_adjust=3)\n", + "sns.scatterplot(x=values_of_RV_1[sample_Z<0],\n", + " y=values_of_RV_2[sample_Z<0], ax=g.ax_joint)\n", + "g.ax_joint.set_xlabel('Random Variable 1 (chosen by you)')\n", + "g.ax_joint.set_ylabel('Random Variable 2 (chosen by you)')\n", + "print('Joint density of 2 RVs with failure realizations')" + ] + }, + { + "cell_type": "markdown", + "id": "75f127f7-c40b-425d-91cf-6c6ecad207a2", + "metadata": {}, + "source": [ + "## Case 2: exceeding the health threshold\n", + "\n", + "Now we return to the failure definition of exceeding the threshold (`flip_LSF` = 1)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3ee884a7-16fb-46bf-9766-9899e662a9bc", + "metadata": {}, + "outputs": [], + "source": [ + "N = 100000\n", + "\n", + "t = 30\n", + "x = 500\n", + "threshold = 1e-4\n", + "\n", + "flip_LSF = 1\n", + "\n", + "sample_q = q_rv.get_sample(N)\n", + "sample_n = n_rv.get_sample(N)\n", + "sample_a = a_rv.get_sample(N)\n", + "\n", + "sample_C_C0 = C_C0(sample_q, sample_n, sample_a, x, t)\n", + "sample_Z = flip_LSF*limit_state_fun(sample_q,\n", + " sample_n,\n", + " sample_a,\n", + " x, t, threshold)\n", + "\n", + "monte_carlo(sample_Z);" + ] + }, + { + "cell_type": "markdown", + "id": "d1d693c6-df03-442f-a100-a065355b2c12", + "metadata": {}, + "source": [ + "NB: *the joint density and failure point plot is commented out here to prevent slowing down the kernel. When N=100000 (1e5) or higher, it will take around a minute to run.*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "19a0f38a-f4e2-4dc0-8ade-0094f2a3cc91", + "metadata": {}, + "outputs": [], + "source": [ + "# values_of_RV_1 = sample_q\n", + "# values_of_RV_2 = sample_a\n", + "\n", + "# g = sns.JointGrid()\n", + "# sns.kdeplot(x=values_of_RV_1,\n", + "# y=values_of_RV_2, ax=g.ax_joint, bw_adjust=3)\n", + "# sns.scatterplot(x=values_of_RV_1[sample_Z<0],\n", + "# y=values_of_RV_2[sample_Z<0], ax=g.ax_joint)\n", + "# g.ax_joint.set_xlabel('Random Variable 1 (chosen by you)')\n", + "# g.ax_joint.set_ylabel('Random Variable 2 (chosen by you)')\n", + "# print('Joint density of 2 RVs with failure realizations')" + ] + }, + { + "cell_type": "markdown", + "id": "3e7d0cc4", + "metadata": {}, + "source": [ + "### Gradient Vector\n", + "\n", + "Partial derivatives will be useful for evaluating the functional influence of the variables on the limit states. The gradient vector is defined as:\n", + "\n", + "$\\nabla_{\\mathbf{y}} G(\\mathbf{y})=\\left(\\frac{\\partial G(\\mathbf{y})}{\\partial \\mathbf{y}_1}, \\cdots, \\frac{\\partial G(\\mathbf{y})}{\\partial \\mathbf{y}_n}\\right) $\n", + "\n", + "To find the gradient vector we need to find the partial derivatives of $\\frac{C}{C_0}$\n", + "\n", + "$\\frac{C}{C_0} = \\frac{1}{2} \\mathrm{erfc}\\left(\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)=\\frac{1}{2} \\left(1-\\mathrm{erf}\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "Using $\\frac{\\partial}{\\partial x} (\\mathrm{erf} x) = \\frac{2}{\\sqrt{\\pi}}e^{-x^2} $ and $\\Omega = \\frac{1}{\\sqrt{\\pi}}e^{-\\left(\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)^2} $, the derivatives are:\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial x} = \\Omega\\left(-\\frac{1}{2\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial t} =\\Omega\\left(\\frac{x}{4\\sqrt{a(q/n)t^3}}+\\frac{q}{4n\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial q} = \\Omega\\left(\\frac{x}{4\\sqrt{a(1/n)tq^3}}+\\frac{t}{4n\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial n} = \\Omega\\left(-\\frac{x}{4\\sqrt{aqtn}}-\\frac{qt}{4\\sqrt{qatn^3}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial a} = \\Omega\\left(\\frac{x-q/nt}{4\\sqrt{(q/n)ta^3}}\\right)$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a761d424", + "metadata": {}, + "outputs": [], + "source": [ + "def gradient(q, n, a, x, t):\n", + " Om = 1/np.sqrt(np.pi)*np.exp(-((x - q/n*t)/(2*np.sqrt(a*q/n*t)))**2)\n", + " dx = Om*(-1/(2*np.sqrt(a*q/n*t)))\n", + " dt = Om*(x/(4*np.sqrt(a*q/n*t**3)) + (q)/(4*n*np.sqrt(a*q/n*t)))\n", + " dq = Om*(x/(4*np.sqrt(a*q**3/n*t)) + (t)/(4*n*np.sqrt(a*q/n*t)))\n", + " dn = Om*(-x/(4*np.sqrt(a*q*n*t)) - (q*t)/(4*np.sqrt(a*q*n**3*t)))\n", + " da = Om*((x - q/n*t)/(4*np.sqrt(a**3 *q/n*t)))\n", + " return np.array([dq,dn,da,dx,dt])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d6492f20", + "metadata": {}, + "outputs": [], + "source": [ + "print(gradient(2.5, 0.2, 10, x, t))" + ] + }, + { + "cell_type": "markdown", + "id": "18ae1605-4c60-4c65-be4f-ce9cef2e40fd", + "metadata": {}, + "source": [ + "## Your turn!\n", + "\n", + "Now try and use the code to answer the questions posed at the beginning of the notebook, which are repeated here:\n", + "1. Which random variables have the biggest influence on reliability?\n", + "2. How does the assumption of probability distribution influence reliability?\n", + "3. Do the random variables act as loads or resistances?\n", + "\n", + "In particular, to evaluate sensitivity, you can consider two quantitative aspects:\n", + "1. What is the functional influence of the random variables and x and t on the limit-state function?\n", + "2. What is the stochastic influence of the random variables, \n", + "3. What is the combined influence of the two aspects above?\n", + "\n", + "<!-- \n", + "Hint: note the striking similarity of these terms to the material you have already seen in the variance propagation part of MUDE, where the variance of a function of random variables is proportional to $\\sigma_x\\cdot \\frac{\\partial Z}{\\partial x}$. The variable with the biggest influence on reliability will have the highest value of this term. Also, the sign of the partial derivative will indicate whether a variable acts as a load or resistance. -->" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.7" + }, + "vscode": { + "interpreter": { + "hash": "85471ad55176ca86192ed6be6d105faaef73891404cad6bd910e89e8513744d9" + } + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/book/reliability-component/exercise.ipynb b/book/reliability-component/exercise.ipynb new file mode 100644 index 0000000..c0199aa --- /dev/null +++ b/book/reliability-component/exercise.ipynb @@ -0,0 +1,498 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "id": "bcb1b890", + "metadata": {}, + "source": [ + "# Contaminant Transport" + ] + }, + { + "cell_type": "markdown", + "id": "a05b1f14", + "metadata": {}, + "source": [ + "_This notebook and associated files were downloaded from the book [Risk and Reliability for Engineers](https://gitlab.tudelft.nl/interactivetextbooks-citg/risk-and-reliability/) (Lanzafame, 2024) under a CC-BY 4.0 License._\n", + "\n", + "Here we use component reliability methods to evaluate the probability of a contaminant causing dangerous concentrations in a groundwater well. The contaminant plume is transported on the groundwater phreatic surface due to advection and diffusion.\n", + "\n", + "The purpose of this exercise is to:\n", + "- evaluate component reliability\n", + "- illustrate functions of random variables\n", + "- see the effect of random variable distributions on reliability\n", + "- consider 'sensitivity' as a functional and/or stochastic influence on the limit-state function\n", + "\n", + "You can use the code to answer the following questions:\n", + "1. Which random variables have the biggest influence on reliability?\n", + "2. How does the assumption of probability distribution influence reliability?\n", + "3. Do the random variables act as loads or resistances?\n", + "\n", + "## Introduction of Case Study\n", + "\n", + "The case study is a contaminant transport problem, illustrated in the figure below. A factory located near a town produces hazardous waste, which can threaten the drinking water supply of the town that is extracted from groundwater wells (C). The regional groundwater system has a gradient that causes water to flow in the direction of the town from the factory, thus any spilled hazardous waste that enters the ground will eventually be transported to the wells. In order to mitigate the consequences of a spill a ditch is constructed around the factory to collect it (A). Unfortunately, even with powerful pumps, there will still be some waste that reaches the groundwater table. Our task is to quantify the probability that the waste concentration exceeds the maximum exposure level to prevent the drinking water becoming unhealthy.\n", + "\n", + "![sketch](./sketch.png)\n", + "\n", + "### Contaminant Transport\n", + "\n", + "Once the ditch becomes contaminated it is cleaned quickly, but unfortunately a 'pulse' of contamination enters the ground, after which the regional gradient carries it towards the town (advection). The pulse also disperses due to diffusion, which results in a classic advection-diffusion problem (see red shapes in diagram, at three different times, $t$). Because the ditch extends a long distance in the lateral direction and the contaminant is buoyant (it floats on the groundwater table and we neglect vertical dispersion), the problem can be analyzed in 1 dimension with the following analytic expression:\n", + "\n", + "$$\n", + "\\frac{C}{C_0} = \\frac{1}{2} \\mathrm{erf}\\left(\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)\n", + "$$\n", + "\n", + "Where $C$ contaminant concentration (e.g., parts per million, ppm) at distance $x$ from the ditch at time $t$ after the spill, and $C_0$ is the concentration in the ditch (just prior to cleanup). $\\mathrm{erf}$ is the error function. There are three parameters in the equation which are related to soil properties and groundwater flow:\n", + "\n", + "- $q$ is the horizontal groundwater flow velocity (specific discharge) [m/day]\n", + "- $n$ is the soil porosity [$-$]\n", + "- $a$ is the longitudinal dispersivity, which describes dispersion in the left to right direction in the image [m]\n", + "\n", + "Unfortunately there is not a lot of soil information, so we have to take into account uncertainty in these three variables, using the following probability distributions with first and second moments (i.e., $\\mu$ and $\\sigma$).\n", + "\n", + "- $q\\sim\\mathrm{N}\\left(\\mu_q=1.00,\\sigma_q=0.10\\right)$\n", + "- $n\\sim\\mathrm{N}\\left(\\mu_n=0.20,\\sigma_n=0.02\\right)$\n", + "- $a\\sim\\mathrm{N}\\left(\\mu_a=10.0,\\sigma_a=1.00\\right)$\n", + "\n", + "It is important to check the sensitivity of the reliability analysis to the distribution type and moments. We will use the concentration ratio $C/C_0$ to evaluate this problem and compare it to a threshold defined by health regulations: $\\mathrm{threshold}=1e-4$.\n", + "\n", + "### Definition of Limit States\n", + "\n", + "As shown in the figure above, there are two locations of interest: the monitoring station ($x=100$ m from the ditch, point B) and the town well ($x=500$ m, point C). We are interested in evaluating two cases with a reliability analysis:\n", + "1. Whether the contamination can be detected at the monitoring station above the threshold level within 1 week of the spill, and \n", + "2. If the contamination level at the town groundwater well exceeds the threshold level within 1 month of the spill (30 days)\n", + "\n", + "Relating these descriptions to our variables of interest:\n", + "1. find the probability that $C/C_0$ > threshold \n", + "2. find the probability that $C/C_0$ < threshold\n", + "\n", + "We will refer to these values as 'failure probabilities', even though case 1 technically doesn't correspond to failure---it's just the way we refer to things in practice.\n", + "\n", + "Next we will convert these into functions that will allow us to quantify the 'failure' conditions. For convenience, it is often useful to define the limit state as a function, $Z$, such that failure occurs when $Z<0$. It follows from the descriptions above, that the limit state functions for both cases are:\n", + "\n", + "1. $Z=C/C_0 - \\mathrm{threshold}$\n", + "2. $Z=\\mathrm{threshold} - C/C_0$\n", + "\n", + "NB: *in the book another notation used for $Z$ is $g_X(X)$.*\n", + "\n", + "### Analysis Approach\n", + "\n", + "Our programming task is to create a function of random variables to represent these two limit-states, define the random variables, then evaluate the reliability with Monte Carlo simulation. In other words, we will numerically approximate the probability distribution of $Z$, then evaluate reliability as $P(Z<0)$.\n", + "\n", + "This is a lot of work, but fortunately a number of helper functions and a Class are provided in the auxiliary file `exercise_setup.py`!\n", + "\n", + "### References\n", + "\n", + "This example draws inspiration from Case 2 of the paper by {cite:t}`sitar1987`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0e18b539", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy.special import erfc\n", + "from scipy import stats\n", + "import seaborn as sns\n", + "\n", + "from exercise_setup import process_negative_values\n", + "from exercise_setup import RandomVariableDistribution\n", + "from exercise_setup import pdf_of_function_of_RV\n", + "from exercise_setup import monte_carlo" + ] + }, + { + "cell_type": "markdown", + "id": "d104b4b2-4fa5-4b37-891d-39201281ed2f", + "metadata": {}, + "source": [ + "## Defining the Limit States\n", + "\n", + "We only define limit state Case 2 below, and will use a simple multiplying factor of $-1$ to switch to Case 1 using a multiplying factor `flip_LSF`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "64c24956", + "metadata": {}, + "outputs": [], + "source": [ + "def C_C0(q, n, a, x, t):\n", + " \"\"\"Contaminant concentration ratio.\"\"\"\n", + " q, n, a = process_negative_values(q, n, a)\n", + " return 0.5*erfc((x - q/n*t)/(2*np.sqrt(a*(q/n)*t)))\n", + "\n", + "def limit_state_fun(q, n, a, x, t, threshold):\n", + " \"\"\"Limit state fxn, Case 2 (multiply by flip_LSF=-1 for Case 1).\"\"\"\n", + " return threshold - C_C0(q, n, a, x, t)" + ] + }, + { + "cell_type": "markdown", + "id": "d7410d16-14d4-45c6-9f93-81ae08de0594", + "metadata": {}, + "source": [ + "## Class `RandomVariableDistribution`\n", + "\n", + "The class `RandomVariableDistribution` makes it very easy to define Normal and Lognormal distributions for the random variables. See documentation and example below.\n", + "\n", + "NB: *you can use the code in `exercisesetup.py` and this notebook to confirm the result of the 2 random variable case in the Probabilistic Design chapter, and recreate the figures.*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8bbf80be-5124-40ba-b3de-0da3eaa12ef1", + "metadata": {}, + "outputs": [], + "source": [ + "print(RandomVariableDistribution.__doc__)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a9b93099-b1cb-458b-baf6-8ad5dd39c440", + "metadata": {}, + "outputs": [], + "source": [ + "example_random_variable = RandomVariableDistribution()\n", + "example_random_variable.define_distribution(mean=5,\n", + " dist_type='LN',\n", + " print_new_dist=True)\n", + "example_random_variable.plot_pdf_or_cdf()" + ] + }, + { + "cell_type": "markdown", + "id": "62617026-f251-462b-a93c-b7305cfd3fa4", + "metadata": {}, + "source": [ + "## Setting up the problem\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4641ae3c", + "metadata": {}, + "outputs": [], + "source": [ + "N = 10000\n", + "\n", + "t = 7\n", + "x = 100\n", + "threshold = 1e-4\n", + "\n", + "flip_LSF = -1\n", + "\n", + "q_rv = RandomVariableDistribution()\n", + "q_rv.define_distribution(mean=1., stddev=.1)\n", + "n_rv = RandomVariableDistribution()\n", + "n_rv.define_distribution(mean=0.2, stddev=.02)\n", + "a_rv = RandomVariableDistribution()\n", + "a_rv.define_distribution(mean=10., stddev=1.)" + ] + }, + { + "cell_type": "markdown", + "id": "f3e0ffb1-6035-4f76-a550-4ff19c1b5946", + "metadata": {}, + "source": [ + "## Monte Carlo analysis\n", + "\n", + "The Monte Carlo procedure for estimating failure probability, $p_f$, is:\n", + "- For each random variable $X_i$ ($i = 1, …, n$) one simulates N realizations, $x_{i,1}, x_{i,1}, ..., x_{i,N}$. \n", + "- For each set of simulations $j$ ($j = 1, ..., N$) one calculates $g(x_{1,j}, x_{2,j}, …, x_{n,j})$\n", + "- In case $g(.) < 0$ a counter $N_f$ is increased by one. After $N$ simulations one calculates: $\\hat{p_f}=N_f/N$\n", + "- In case $N\\rightarrow+\\infty$ one obtains the failure probability $p_f$.\n", + "\n", + "The number of simulations $N$ directly influences the accuracy of $\\hat{p_f}$, which is an estimate of the 'true' value $p_f$. As an infinite number of simulations is not possible, one must choose a value for $N$ that balances total computation time, which increases linearly with $N$, and accuracy of the estimator $\\hat{p_f}$, which can be determined as the number of significant digits desired for $p_f$, or based on relative error (coefficient of variation, $V=\\sigma/\\mu$. The failure observations, $N_f$, within the Monte Carlo procedure are the result of a sequence of statistically independent and identically distributed random trials in a Bernoulli process. Using the binomial distribution, the standard deviation of of $\\hat{p_f}$ can be written\n", + "\n", + "$$\\sigma_\\hat{p_f}=\\sqrt{\\frac{p_f(1-p_f)}{N}}$$\n", + "\n", + "As $\\hat{p_f}\\rightarrow1$ this leads to the coefficient of variation, $V_\\hat{p_f}$:\n", + "\n", + "$$V_\\hat{p_f}=\\frac{\\sigma_\\hat{p_f}}{\\hat{p_f}}=\\frac{1}{\\sqrt{N\\hat{p_f}}}$$\n", + "\n", + "The coefficient of variation is a useful measure for gauging the accuracy of a Monte Carlo simulation: values of 0.01 are ideal, but 0.1 can be sufficient in many applications, depending on the need for accuracy. For example, consider $V=0.1$ for a target failure probability of $0.01$. Assuming the samples follow a Gaussian distribution implies a probability of 0.997 that the 'true' failure probability is within the interval 0.007-0.013. It is also useful to plot the calculated values of $V$ and $\\hat{p_f}$ for every realization $j = 1, ..., N$, as shown below. The figure clearly shows convergence to a stable value of $\\hat{p_f}$ after X simulations, indicating that for future analyses that are similar can use a lower number of simulations instead ($N\\sim X$).\n", + "\n", + "In case of a target coefficient of variation the number of required simulations $N$ increases as $p_f$ decreases. As an example, for $V = 0.01$ and $p_f=1e-5$ one has to execute $10^9$ simulations. As for this case on average only one of 10^5 simulations leads to an increase of $N_f$, the frequency of obtaining a 'success' (realization in the unsafe domain) is very low. In addition, for low failure probabilities the number of function evaluations is quite high, which may be practically impossible if there is a high function evaluation time, for example with a complex finite element model. To address this problem, variance reducing techniques have been developed which allow the simulations to be performed in a more effective way. In the following the so-called importance sampling or Latin hypercube sampling." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ec7883de-544e-48d5-85f2-dfc7856e9028", + "metadata": {}, + "outputs": [], + "source": [ + "sample_q = q_rv.get_sample(N)\n", + "sample_n = n_rv.get_sample(N)\n", + "sample_a = a_rv.get_sample(N)\n", + "sample_C_C0 = C_C0(sample_q, sample_n, sample_a, x, t)\n", + "sample_Z = flip_LSF*limit_state_fun(sample_q,\n", + " sample_n,\n", + " sample_a,\n", + " x, t, threshold)\n", + "\n", + "monte_carlo(sample_Z);" + ] + }, + { + "cell_type": "markdown", + "id": "d00e1316-c4ac-474d-93ad-18abcda30cfc", + "metadata": {}, + "source": [ + "The method `pdf_of_function_of_RV` makes it easy to see what the distribution of $C/C_0$ and the limit state function for different distributions of q, n or a. Below a second distribution of a is considered:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c08e0e56-8a6b-45a2-ad3f-abe3ce869513", + "metadata": {}, + "outputs": [], + "source": [ + "C_C0_cases = []\n", + "Z_cases = []\n", + "C_C0_cases.append(sample_C_C0)\n", + "Z_cases.append(sample_Z)\n", + "\n", + "a_2 = RandomVariableDistribution()\n", + "a_2.define_distribution(mean=10, stddev=4, dist_type='N')\n", + "C_C0_cases.append(C_C0(sample_q, sample_n, a_2.get_sample(N), x, t))\n", + "Z_cases.append(flip_LSF*limit_state_fun(sample_q,\n", + " sample_n,\n", + " a_2.get_sample(N),\n", + " x, t, threshold))\n", + "\n", + "a_rv.print_status()\n", + "a_2.print_status()\n", + "\n", + "pdf_of_function_of_RV(C_C0_cases)\n", + "pdf_of_function_of_RV(Z_cases, case_C=False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "695f1336-8d3e-4503-9196-9969d181ae10", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "8c197ae8-3a6c-45fe-b304-75f601dbb9ac", + "metadata": {}, + "source": [ + "This is the density of the function of random variables, $C/C_0$, two values of $\\sigma_a$, and a third with the uniform distribution (not using the `RandomVariableDistribution` class)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "53273645-453b-48b9-85c0-e69eb1ac579e", + "metadata": {}, + "outputs": [], + "source": [ + "values_of_RV_1 = sample_q\n", + "values_of_RV_2 = sample_a\n", + "\n", + "g = sns.JointGrid()\n", + "sns.kdeplot(x=values_of_RV_1,\n", + " y=values_of_RV_2, ax=g.ax_joint, bw_adjust=3)\n", + "sns.scatterplot(x=values_of_RV_1[sample_Z<0],\n", + " y=values_of_RV_2[sample_Z<0], ax=g.ax_joint)\n", + "g.ax_joint.set_xlabel('Random Variable 1 (chosen by you)')\n", + "g.ax_joint.set_ylabel('Random Variable 2 (chosen by you)')\n", + "print('Joint density of 2 RVs with failure realizations')" + ] + }, + { + "cell_type": "markdown", + "id": "75f127f7-c40b-425d-91cf-6c6ecad207a2", + "metadata": {}, + "source": [ + "## Case 2: exceeding the health threshold\n", + "\n", + "Now we return to the failure definition of exceeding the threshold (`flip_LSF` = 1)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3ee884a7-16fb-46bf-9766-9899e662a9bc", + "metadata": {}, + "outputs": [], + "source": [ + "N = 100000\n", + "\n", + "t = 30\n", + "x = 500\n", + "threshold = 1e-4\n", + "\n", + "flip_LSF = 1\n", + "\n", + "sample_q = q_rv.get_sample(N)\n", + "sample_n = n_rv.get_sample(N)\n", + "sample_a = a_rv.get_sample(N)\n", + "\n", + "sample_C_C0 = C_C0(sample_q, sample_n, sample_a, x, t)\n", + "sample_Z = flip_LSF*limit_state_fun(sample_q,\n", + " sample_n,\n", + " sample_a,\n", + " x, t, threshold)\n", + "\n", + "monte_carlo(sample_Z);" + ] + }, + { + "cell_type": "markdown", + "id": "d1d693c6-df03-442f-a100-a065355b2c12", + "metadata": {}, + "source": [ + "NB: *the joint density and failure point plot is commented out here to prevent slowing down the kernel. When N=100000 (1e5) or higher, it will take around a minute to run.*" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "19a0f38a-f4e2-4dc0-8ade-0094f2a3cc91", + "metadata": {}, + "outputs": [], + "source": [ + "# values_of_RV_1 = sample_q\n", + "# values_of_RV_2 = sample_a\n", + "\n", + "# g = sns.JointGrid()\n", + "# sns.kdeplot(x=values_of_RV_1,\n", + "# y=values_of_RV_2, ax=g.ax_joint, bw_adjust=3)\n", + "# sns.scatterplot(x=values_of_RV_1[sample_Z<0],\n", + "# y=values_of_RV_2[sample_Z<0], ax=g.ax_joint)\n", + "# g.ax_joint.set_xlabel('Random Variable 1 (chosen by you)')\n", + "# g.ax_joint.set_ylabel('Random Variable 2 (chosen by you)')\n", + "# print('Joint density of 2 RVs with failure realizations')" + ] + }, + { + "cell_type": "markdown", + "id": "3e7d0cc4", + "metadata": {}, + "source": [ + "### Gradient Vector\n", + "\n", + "Partial derivatives will be useful for evaluating the functional influence of the variables on the limit states. The gradient vector is defined as:\n", + "\n", + "$\\nabla_{\\mathbf{y}} G(\\mathbf{y})=\\left(\\frac{\\partial G(\\mathbf{y})}{\\partial \\mathbf{y}_1}, \\cdots, \\frac{\\partial G(\\mathbf{y})}{\\partial \\mathbf{y}_n}\\right) $\n", + "\n", + "To find the gradient vector we need to find the partial derivatives of $\\frac{C}{C_0}$\n", + "\n", + "$\\frac{C}{C_0} = \\frac{1}{2} \\mathrm{erfc}\\left(\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)=\\frac{1}{2} \\left(1-\\mathrm{erf}\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "Using $\\frac{\\partial}{\\partial x} (\\mathrm{erf} x) = \\frac{2}{\\sqrt{\\pi}}e^{-x^2} $ and $\\Omega = \\frac{1}{\\sqrt{\\pi}}e^{-\\left(\\frac{x-(q/n)t}{2\\sqrt{a(q/n)t}}\\right)^2} $, the derivatives are:\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial x} = \\Omega\\left(-\\frac{1}{2\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial t} =\\Omega\\left(\\frac{x}{4\\sqrt{a(q/n)t^3}}+\\frac{q}{4n\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial q} = \\Omega\\left(\\frac{x}{4\\sqrt{a(1/n)tq^3}}+\\frac{t}{4n\\sqrt{a(q/n)t}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial n} = \\Omega\\left(-\\frac{x}{4\\sqrt{aqtn}}-\\frac{qt}{4\\sqrt{qatn^3}}\\right)$\n", + "\n", + "$\\frac{\\partial (C/C_0)}{\\partial a} = \\Omega\\left(\\frac{x-q/nt}{4\\sqrt{(q/n)ta^3}}\\right)$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a761d424", + "metadata": {}, + "outputs": [], + "source": [ + "def gradient(q, n, a, x, t):\n", + " Om = 1/np.sqrt(np.pi)*np.exp(-((x - q/n*t)/(2*np.sqrt(a*q/n*t)))**2)\n", + " dx = Om*(-1/(2*np.sqrt(a*q/n*t)))\n", + " dt = Om*(x/(4*np.sqrt(a*q/n*t**3)) + (q)/(4*n*np.sqrt(a*q/n*t)))\n", + " dq = Om*(x/(4*np.sqrt(a*q**3/n*t)) + (t)/(4*n*np.sqrt(a*q/n*t)))\n", + " dn = Om*(-x/(4*np.sqrt(a*q*n*t)) - (q*t)/(4*np.sqrt(a*q*n**3*t)))\n", + " da = Om*((x - q/n*t)/(4*np.sqrt(a**3 *q/n*t)))\n", + " return np.array([dq,dn,da,dx,dt])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d6492f20", + "metadata": {}, + "outputs": [], + "source": [ + "print(gradient(2.5, 0.2, 10, x, t))" + ] + }, + { + "cell_type": "markdown", + "id": "18ae1605-4c60-4c65-be4f-ce9cef2e40fd", + "metadata": {}, + "source": [ + "## Your turn!\n", + "\n", + "Now try and use the code to answer the questions posed at the beginning of the notebook, which are repeated here:\n", + "1. Which random variables have the biggest influence on reliability?\n", + "2. How does the assumption of probability distribution influence reliability?\n", + "3. Do the random variables act as loads or resistances?\n", + "\n", + "In particular, to evaluate sensitivity, you can consider two quantitative aspects:\n", + "1. What is the functional influence of the random variables and x and t on the limit-state function?\n", + "2. What is the stochastic influence of the random variables, \n", + "3. What is the combined influence of the two aspects above?\n", + "\n", + "<!-- \n", + "Hint: note the striking similarity of these terms to the material you have already seen in the variance propagation part of MUDE, where the variance of a function of random variables is proportional to $\\sigma_x\\cdot \\frac{\\partial Z}{\\partial x}$. The variable with the biggest influence on reliability will have the highest value of this term. Also, the sign of the partial derivative will indicate whether a variable acts as a load or resistance. -->" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13 (main, Aug 25 2022, 23:51:50) [MSC v.1916 64 bit (AMD64)]" + }, + "vscode": { + "interpreter": { + "hash": "85471ad55176ca86192ed6be6d105faaef73891404cad6bd910e89e8513744d9" + } + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/book/reliability-component/exercise.zip b/book/reliability-component/exercise.zip new file mode 100644 index 0000000..37314fa Binary files /dev/null and b/book/reliability-component/exercise.zip differ diff --git a/book/reliability-component/exercise_setup.py b/book/reliability-component/exercise_setup.py new file mode 100644 index 0000000..51a9470 --- /dev/null +++ b/book/reliability-component/exercise_setup.py @@ -0,0 +1,247 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.special import erfc +from scipy import stats +import seaborn as sns + +def process_negative_values(q, n, a): + """Prevents problems with negative values in sqrt of C_C0 function.""" + N_q = sum(q<0) + N_n = sum(n<0) + N_a = sum(a<0) + set_value = 0.001 + if N_q > 0: + for i in range(len(q)): + if q[i]<0: + q[i] = set_value + print(f'q has {N_q} negative values that have been set to {set_value:.1e}.') + if N_n > 0: + for i in range(len(n)): + if n[i]<0: + n[i] = set_value + print(f'n has {N_n} negative values that have been set to {set_value:.1e}.') + if N_a > 0: + for i in range(len(a)): + if a[i]<0: + a[i] = set_value + print(f'a has {N_a} negative values that have been set to {set_value:.1e}.') + return q, n, a + +class RandomVariableDistribution(): + """Define a N or LN probability to use in MUDE week 2.7 exercise. + + Usage: + ----- + Create an instance of the class + by default, the random variable is ~N(0,1) + Specify distribution using 1st and 2nd moments for N or LN: + --> use method define_distribution to change it! + (the method prints a summary of the change) + for example, copy/paste the following: + test = RandomVariableDistribution() + test.print_status() + test.define_distribution(mean=5, stddev=1, dist_type='LN') + An instance will include the following attributes: + - distribution moment and (scipy) parameters shape, location, scale + - dist_object: distribution object (scipy.stats) + - get_sample: method for getting random samples from the distribution + - plot_pdf_or_cdf: + """ + + def __init__(self): + self.mean = 0. + self.stddev = 1. + self.dist_type = 'N' + + def print_status(self): + """Returns current parameter values and distribution type.""" + print(f'The mean is {self.mean:.3e}') + print(f'The standard deviation is {self.stddev:.3e}') + if self.dist_type == 'N': + distribution_name = 'Normal' + elif self.dist_type == 'LN': + distribution_name = 'Lognormal' + print('The distribution is ' + distribution_name) + + def define_distribution(self, + mean=None, + stddev=None, + dist_type=None, + print_new_dist=False): + """Compute distribution parameters and RV object from moments. + + Usage: + ----- + Optional arguments will override current dist: + --> default distribution is standard normal, ~N(0,1) + mean: float + stddev: float + dist_type: 'N' or 'LN' + print_new_dist=True to print distribution changes. + """ + if mean is None: + mean = self.mean + if stddev is None: + stddev = self.stddev + if dist_type is None: + dist_type = self.dist_type + if dist_type == 'N': + shape = None + location = mean + scale = stddev + dist_object = stats.norm(loc=location, scale=scale) + elif dist_type == 'LN': + """ + Finds distribution parameters of LN-distributed X, + which are equivalent to the mean and standard deviation + of the log of X: Y = ln(X), then converts to the + parameterization used by scipy.stats.lognorm. + """ + stddev_y = np.sqrt(np.log(1 + (stddev/mean)**2)) + mean_y = np.log(mean) - 0.5*stddev_y**2 + + shape = stddev_y + location = 0 + scale = np.exp(mean_y) + dist_object = stats.lognorm(s=shape, + loc=location, + scale=scale) + else: + raise ValueError("You can only use N or LN for self.dist_type.") + self.mean = mean + self.stddev = stddev + self.dist_type = dist_type + self.shape = shape + self.location = location + self.scale = scale + self.dist_object = dist_object + self.get_sample = lambda size : self.dist_object.rvs(size=size) + if print_new_dist: + self.print_status() + + def plot_pdf_or_cdf(self, plot_type='pdf', plot_limits=None): + """Plots the pdf or cdf (specify choice with plot_type). + + Usage: + ----- + No inputs required, but there are optional inputs: + plot_type='cdf' to plot cdf (pdf is default value) + plot_limits: list with 2 values for x-axis + """ + if plot_limits is None: + if self.dist_type == 'N': + plot_limits = [self.mean - 3*self.stddev, + self.mean + 3*self.stddev] + elif self.dist_type == 'LN': + 'Avoid negative or zero value for lognormal dist.' + lower_value = self.mean - 3*self.stddev + if lower_value <= 0: + lower_value = 0.01 + plot_limits = [lower_value, + self.mean + 4*self.stddev] + else: + raise ValueError("You can only use N or LN for self.dist_type.") + + plot_x = np.linspace(plot_limits[0], plot_limits[1], 1000) + if plot_type == 'pdf': + plot_y = self.dist_object.pdf(plot_x) + y_label = 'PDF [-]' + elif plot_type == 'cdf': + plot_y = self.dist_object.cdf(plot_x) + y_label = 'CDF [-]' + else: + raise ValueError("You must specify pdf or cdf for plot_type.") + fontsize = 15 + plt.figure() + plt.plot(plot_x, plot_y, 'k-', linewidth=3) + plt.xlabel('Random Variable, X', fontsize=fontsize) + plt.ylabel(y_label, fontsize=fontsize) + plt.show() + +def pdf_of_function_of_RV(cases, case_C=True, case_name=None, plot_limits=None): + """Plot the PDF of a sampled function of random variables (C_C0 or Z). + + Usage: + ----- + cases: a list of arrays + case_C=True (default) assumes C_C0 is given. False is for Z. + case_name: list of strings with the labels for each array. + e.g., ['Original', 'High sigma_a', 'Low sigma_a'] + (default will return Case i for all arrays) + plot_limits: list of two values that override default limits + for x-axis. + """ + bw_adjust = 3 # adjusts smoothness of Seaborn kernel density contours + labels = [] + + plt.figure() + + for i in range(len(cases)): + if case_name == None: + labels.append(f'Case {i+1}') + else: + labels.append(case_name[i]) + sns.kdeplot(cases[i], label=labels[i], ax=plt.gca(), bw_adjust=bw_adjust) + plt.legend() + if case_C: + plt.xlabel('Concentration ratio, $C/C_0$ [$-$]') + if plot_limits == None: + plt.xlim(0,1) + else: + plt.xlim(plot_limits) + else: + plt.xlabel('Limit-state function, $Z=\mathrm{threshold}-C/C_0$ [$-$]') + if plot_limits == None: + plt.xlim(-2,1) + else: + plt.xlim(plot_limits) + plt.ylabel('PDF [$]$') + plt.grid() + plt.show() + +def monte_carlo(Z): + """Monte Carlo analysis for sampled function of random variables. + + Returns a summary of the analysis and a plot of pf and c.o.v.. + The only input is an array of the sampled limit state-function. + Assumes that failure is when the limit-state function Z<0. + """ + N = len(Z) + Nf = np.sum(Z<0) + + if Nf == 0: + raise ValueError('No failure realizations in the sample!') + elif Nf == N: + raise ValueError('All realizations in the sample failed!') + + pf = Nf/N + + N_f_c = np.cumsum(Z<0) + N_i = np.arange(1,len(N_f_c)+1,1) + p_f_c = N_f_c / N_i + with np.errstate(divide='ignore'): + V = 1/(np.sqrt(N_i*p_f_c)) + + print(f'MONTE CARLO RESULTS\n' + f'--------------------------------------------------\n' + f' N = {N}, number of samples\n' + f' Nf = {Nf}, number of failed realizations\n' + f' pf = {pf:.3e}, estimated failure probability\n' + f' V = {V[-1]:.3f}, c.o.v. of estimated pf\n') + + plt.loglog(N_i,p_f_c) + plt.xlim(10,N) + plt.ylim(10**(np.floor(np.log10(pf)) - 1),1) + plt.grid() + plt.xlabel('Realization No.') + plt.ylabel('Estimated failure probability, $\hat{p}_f$') + plt.show() + + plt.plot(N_i,V) + plt.xscale('log') + plt.grid() + plt.xlabel('time step') + plt.ylabel('c.o.v.') + plt.show() + + return Nf,pf \ No newline at end of file diff --git a/book/reliability-component/overview.md b/book/reliability-component/overview.md new file mode 100644 index 0000000..4f4b4a5 --- /dev/null +++ b/book/reliability-component/overview.md @@ -0,0 +1,127 @@ +(rel_comp)= +# Component Reliability + +This Section gives a brief introduction to some of the mathematical foundations of component reliability theory, which is focused on determining the probability of a 'bad thing' happening (see {ref}`intro`). The topic has also been covered in the {ref}`prob_design` Section (especially the {ref}`prob_design_2_rv` example), and is a key part of Step 3 (quantitative analysis) in the {ref}`risk_steps`. + +## Definition + +In short, a component reliability analysis evaluates the reliability of a particular engineered object, where reliability is the complement of failure probability, $p_f$. The analysis is performed by defining a function of random variables, $g_X(x)$, and mathematically specifying a region of interest, $\Omega$, often called the failure region. The function of random variables implies a multivariate probability density function, $f_X(x)$, where integrating over the failure region $\Omega$ gives $p_f$. + +$$ +p_f=\int_\Omega f_X(x)\:\mathrm{d}x +$$ + +## A Simple Case + +The most simple reliability analysis is a univariate case with one random variable. Consider a water distribution *system* that relies on groundwater (i.e., one *component* within the system). Suppose we can model the groundwater elevation as a random variable with the normal distribution: + +$$ +h_w \: [\mathrm{m}] \sim \mathrm{N}(\mu=5,\sigma=1) +$$ + +If $h_w$ drops below 2 m, the pumps run dry, and our component fails. In this case our function of random variables is simply: + +$$ +g(X) \rightarrow g(h_w)=h_w +$$ + +and failure is defined as: + +$$ +\Omega: h_w < 2 \mathrm{m} +$$ + +The component reliability analysis is thus: + +$$ +p_f=\int_{-\infty}^{2} f_{h_w}(h_w)\:\mathrm{d}h_w +$$ + +Which is easily evaluated with the CDF of $h_w$: + +$$ +p_f=F_{h_w}(2)=\Phi\left[ \frac{2-\mu}{\sigma}\right] =\Phi[-3]=0.00135 +$$ + +This is nearly equivalent to the {ref}`prob_design_1_rv` example using river discharge from the {ref}`prob_design` Chapter, the only difference is there a load variable was considered and therefore evaluated with the complementary CDF. + +## Not Simple Cases + +The example above is 'simple' for three reasons, specifically. It has: +1. only one random variable, so the distribution of $g(X)$ is also univariate +2. the function of random variables, $g(X)$ is linear +3. the distribution of the random variables (variable, in this case) is Gaussian + +These three characteristics make component reliability problems very easy to solve. In fact, you should have already done this earlier probability courses with (co)variance propagation methods. For example, solving for the mean and standard deviation of a linear function of random variables that are each Gaussian is straightforward, as the function of random variables is also Gaussian. Unfortunately, as problems become more complex, so do the methods required for solving such problems. + +In this book we focus on simple situations with up to two variables (the 'bivariate' case) that can be solved analytically (linear functions and Gaussian random variables). Random variables are limited to continuous parametric distributions and linear measures of dependence (correlation coefficient, multivariate Gaussian). If these requirements are relaxed, we will use simulation to calculate the failure probability numerically (i.e., Monte Carlo simulation). + +With this in mind, a generic procedure for using component reliability analysis in a probabilistic design context is: + +1. determine probability distributions for each random variable (*marginal* distributions) +2. specify dependence between random variables (or independence) +3. define the function of random variables, $g_X(X)$, and region of interest, $\Omega$ +4. integrate multivariate PDF, $f_X(X)$, over $\Omega$ to evaluate probability of interest +5. check probability requirement, and if needed: +6. modify component (i.e., modify 1, 2 or 3) +7. repeat 4, 5 and 6 until the requirement is met + +```{note} +The term 'failure' here, widely used in civil engineering, is used here as a matter of convenience. Component reliability methods can also be used to find the probability of something that has nothing to do with failure, as long as it can be desribed with a function of random variables. +``` +## Two Random Variables + +The example with discharge from two rivers in the Probabilistic Design Chapter can be considered a component reliability problem with two random variables. The discharge of both tributary rivers act as loads because they both are proportional to the main design variable, $q$ or $h_{dike}$. The reliability integral is thus + +$$ +p_f=\int_\Omega f_{Q_1,Q_2}(q_1,q_2)\:\mathrm{d}x +$$ + +where the failure region $\Omega$ contains all values of $Q_1$ and $Q_2$ such that the river level exceeds the dike height: + +$$ +\Omega: h_{dike} \leq h_w(Q_1,Q_2) +$$ + +Note that if the dike were constructed to a height of 8.29 m, the component reliability would be 0.01 and the failure region would be equivalent to {numref}`design_2_rv_correct`. + +<!-- Component reliability Analysis: +- limit states (servicability, ultimate) and limit-state functions; failure definition +- Design frameworks +- A simple case +- Special page to illustrate partial safety factor approach. Start with univariate, then show bivariate (pointing out ‘choice’ that must be made for design point, reference it, then move along). + + +- other + - R-S + - Z = R + S + - non-linear + - most of these should probably go in the component reliability chapter + +Overview of non-linear problems (distribution and LSF); explanation of LSF; formulations of structural reliability. the area under the curve. Solution techniquest. Partial safety factor approach / LRFD / beta and reliability index. --> + +% save for later: compare Z=R-S to and/or and explicitly show how the generalized method can incorporate higher/lower together or values related to each other; lognormal case + +%To simple slope problem: *this example is borrowed from Moss, which is borrowed from Baecher and Christian. Both are excellent texts on risk and reliability analysis in civil and geotechnical engineering.* + +% THIS IS REMOVED FOR 2022-23 SINCE THE SEPARATE PAGES WERE NOT COMPLETED + +--- + +_The primary author for this chapter is Robert Lanzafame._ + +<!-- +```{admonition} Exam Information +:class: tip, dropdown +You are expected to recognize the role of random variables (e.g., loads and resistances) within the function of random variables for a component and visualize it on a bivariate plot. Component reliability problems will limited to linear functions of normally distributed random variables; although you will *not* be asked to compute reliability. +``` --> + +<!-- ```{admonition} Exam Information +:class: tip, dropdown +You are expected to recognize the role of random variables (e.g., loads and resistances) within the function of random variables for a component and visualize it on a bivariate plot. You may be asked to solve simple component reliability problems, limited to linear functions of normally distributed random variables, and evaluate the role of dependence between variables. You can produce a probabilistic design by modifying the component such that the probability of interest meets a specific criteria. +``` --> + +<!-- ```{admonition} Exam Information +:class: tip, dropdown +For the exam, you will be expected to be able to recognize and solve simple component reliability problems, and describe the influence that dependence between random variables may have on the calculated probability of interest. Given a specific problem of interest, you should be able to describe failure (or non-failure) analytically as a function of random variables and visually in a bivariate plot. Using these simple frameworks, you can modify the component such that the probability of interest meets a specific criteria. +``` --> \ No newline at end of file diff --git a/book/reliability-component/sketch.png b/book/reliability-component/sketch.png new file mode 100644 index 0000000..d2fd2b4 Binary files /dev/null and b/book/reliability-component/sketch.png differ diff --git a/book/reliability-system/exercise-simple-city.md b/book/reliability-system/exercise-simple-city.md new file mode 100644 index 0000000..d8e852a --- /dev/null +++ b/book/reliability-system/exercise-simple-city.md @@ -0,0 +1,136 @@ +# Example System + +A pre-fabricated bridge design is being considered for river crossings in a remote region of the world, as shown in Figure 1. Cities 1, 2 and 3 are labelled C1, C2 and C3, with bridges labelled B1-B4. + +```{figure} ../figures/simple-city.png +--- +width: 600px +name: exercise-simple-city +--- +``` + +**Question 1:** If the probability of failure for an individual bridge is 0.1 per year, compute the probability that you cannot drive from City 1 to City 2 + + +```{admonition} Answer +:class: tip, dropdown + +$$ + P_{f_{C1-C2}} = P_{f_{B1}} * P_{f_{B4-B3-B2}} = P_{f_{B1}} * (1 - (1 - P_{f_{B4}})(1 - P_{f_{B3}}*P_{f_{B2}})) +$$ +$$ + P_{f_{C1 - C2}} = 0.1 * (1 - (1 - 0.1)(1 - 0.1 * 0.1)) = 0.0109 +$$ +``` + +**Question 2:** If the probability of failure for an individual bridge is 0.1 per year, compute the probability that you cannot drive from City 2 to City 3. + +```{admonition} Answer +:class: tip, dropdown + +$$ + P_{f_{C2 - C3}} = P_{f_{B3}} * P_{f_{B2}} * P_{f_{B1 - B4}} = P_{f_{B3}} * P_{f_{B2}} * (1 - (1 - P_{f_{B1}})(1 - P_{f_{B4}})) +$$ +$$ + P_{f_{C2 - C3}} = 0.1 * 0.1 * (1 - (1 - 0.1)(1 - 0.1)) = 0.0019 $$ +``` + +**Question 3:** If the probability of failure for an individual bridge is 0.1 per year, compute the probability that you cannot drive from City 1 to City 3 + +```{admonition} Answer +:class: tip, dropdown + +$$ + P_{f_{C1 - C3}} = P_{f_{B4}} * P_{f_{B1-B3-B2}} = P_{f_{B4}} * (1 - (1 - P_{f_{B1}})(1 - P_{f_{B3}}*P_{f_{B2}})) +$$ +$$ + P_{f_{C1 - C3}} = 0.1 * (1 - (1 - 0.1)(1 - 0.1 * 0*1)) = 0.0109 +$$ +``` + +**Question 4:** Suppose there is a critical facility (e.g., a hospital) in City 3. How many bridges would you need to install between City 2 and 3 to ensure that the probability of someone not reaching City 3 from City 2 is less than $10^{-4}$? + +```{admonition} Answer +:class: tip, dropdown + +$$ + P_{f_{C2 - C3}} = P_{f_B}^n * (1 - (1 - P_{f_{B1}})(1 - P4)) +$$ +$$ + 0.0001 = 0.1^n * (1 - (1 - 0.1)(1 - 0.1)) +$$ +$$ + n = 3.3 +$$ + +It is necessary to install 2 more bridges between City 2 and 3. +``` + +**Question 5:** If you had 1 extra bridge to place, which bridge (i.e., B1, 2, 3 or 4) would you place it next to in order to have the biggest decrease of the probability of not reaching City 3 from City 1? + +```{admonition} Answer +:class: tip, dropdown + +I would locate the extra bridge next to Bridge 4. In this case, adding an extra element in the parallel system, making it more redundant. + +- $P_f$ next to B1 = 0.00199 +- $P_f$ next to B2 or B3 = 0.0101 +- $P_f$ next to B4 = 0.00109 +``` + +**Question 6:** If you only had 3 available bridges, which of the 4 bridges in the figure would you remove first, to cause the smallest reduction in failure probability? + +```{admonition} Answer +:class: tip, dropdown + +I would remove Bridge 2 or 3. If bridge 1 or 4 is removed, a whole path is removed from the system, while by removing only Bridge 2 or 3, there is still an available bridge to cross that river. +``` + +**Question 7:** What should the probability of each bridge be in order to make the probability of not crossing from C1 to C3 less than 0.01? + +```{admonition} Answer +:class: tip, dropdown + +$$ + P_{f_{C1-C3}} = P_{f_{B4}} * P_{f_{B1-B3-B2}} = P_{f_{B4}} * (1 - (1 - P_{f_{B1}})(1 - P_{f_{B3}} * P_{f_B2})) +$$ +$$ + 0.01 = X * (1 - (1 - X)(1 - X * X)) +$$ +$$ + X = 0.0960 +$$ + +Since the bridges have identical designs and have all been manufactured by the same contractor, positive dependence is expected between performance of bridges B1-B4. +``` + +**Question 8:** State whether or not dependence would increase or decrease the probability calculated in question 3, and explain why with 1 or 2 sentences. + +```{admonition} Answer +:class: tip, dropdown + +Increase. + +The probability of failure would increase because the system mainly works like a parallel system. In this case, when there is full dependence between the elements, the probability of failure equals the probability of failure of the strongest element. For instance, $P_{f_{\text{bridges 2, 3}}}=0.01$ for independent case and 0.1 for full dependence case. +``` + +Assume each prefabricated bridge is made up of a single road deck and 5 separate frames that are joined together. Each bridge will fail if either the road deck fails, or 1 of the frames fails. + +**Question 9:** If the probability of a frame failure is 0.01, what is the required failure probability of the road deck to make sure the bridge failure probability is no more than 0.1? + +```{admonition} Answer +:class: tip, dropdown + +$$ + P_f = 1 - (1 - P_{f_{text{deck}}})(1 - P_{f_{\text{one of the frames}}}) +$$ +$$ + P_f = 1 - (1 - P_{f_{text{deck}}})(1 - (1 - (1 - P_{f_{\text{frame}}})^5)) +$$ +$$ + 0.1 = 1 - (1 - P_{f_{text{deck}}})(1 - (1 - (1 - 0.01)^5)) +$$ +$$ + P_{f_{\text{deck}}} = 0.0536 +$$ +``` \ No newline at end of file diff --git a/book/reliability-system/overview.md b/book/reliability-system/overview.md new file mode 100644 index 0000000..9ecd09b --- /dev/null +++ b/book/reliability-system/overview.md @@ -0,0 +1,137 @@ +(rel_sys)= +# System Reliability + + + +A structure or system in civil engineering generally consists of a set of *components* (also called *elements*). Whereas the previous chapter focused on the reliability of a single component, this chapter addresses reliability analysis for systems that consist of multiple components. The consequences of the failure of a component will depend on the type of system that is considered. In some cases, the failure of a component leads to failure of the whole system (progressive collapse). In other cases (and system configurations) there could be no failure if a single component fails and other components take over the function of the failed one. + +The techniques introduced in this chapter essential for carrying out step 3 in a risk analysis: quantitative analysis. + +## Series and Parallel Systems + +In reliability analysis two types of basic systems can be distinguished: series and parallel (see {numref}`sys-series-parallel`). + +```{figure} ../figures/system_series_parallel.png +--- +height: 400px +name: sys-series-parallel +--- +Series (top row) and parallel (bottom row) systems: the building blocks of system reliability analysis. +``` +Within a series system, failure of a single component will always lead to the failure of the entire system. An example is a chain, which breaks if any individual link fails. In our flood management example, a dike ring protecting a single area that is made up of multiple segments is also a series system. Within a parallel system, failure of one component can be compensated by the performance of another component; it represents the concept of redundancy. Drawing on the chain example, it would imply using more than one chain capable of holding the maximum load. An example from flood management would be to build a second dike ring inside the first dike ring. In practice, a complex system can generally be represented by means of a combination of parallel and series subsystems, just as the parallel system of multiple chains (or dikes) is a parallel system of series systems of links (or dike segments). + +```{figure} ../figures/system_series_parallel_ex.png +--- +height: 400px +name: sys-series-parallel-ex +--- +Example of series (top row) and parallel (bottom row) systems, illustrated with a chain and dike ring. Each component in the parallel case is itself a series system: links in the chain and dike segments in the dike ring. +``` + +Systems are often schematized using a system diagram, as in {numref}`sys-series-parallel`. This also illustrates the function of a system as an input-output diagram, where one can considers the ability to travel from left to right on the figure. It is analagous to many scenarios involving flow: electricity ({numref}`sys-lightbulbs`), water in pipes or transportation routes. + +```{figure} ../figures/system_lightbulbs.png +--- +width: 400px +name: sys-lightbulbs +--- +Series (left) and parallel (right) systems illustrated as a string of lightbulbs. +``` + +### Definition of Failure + +Whereas in component reliability problems we defined failure using a function of random variables, in system reliability problems, we define failure based on the continuity of the system diagram. Failure occurs when we are not able to travel from left to right on the diagram due to one or more broken links. + +## Reliability Calculations + +Equations for computing parallel and series system reliability are described here with the notation $F_i$ and $\bar{F_i}$ to denote failure and non-failure of component $i$, respectively. A system is made up of $i=1,...,n$ components where the probability of failure of component $i$ is $P(F_i)$. Note that as a concept, "system reliability" is almost always going to be quantified using the failure probability of the system, $p_{f,sys}$. This is sometimes misleading or confusing because the mathematical definition of reliability is the complement of reliability, $1-p_{f,sys}$. +### Parallel System + +A parallel system is often described as redundant since *all* components must fail to cause system failure. This is also simple to calculate as it can be described mathematically as the joint failure probability, or intersection, of all components: + +$$ +p_{f,sys} = P(F_1 \cap F_2 \cap ... \cap F_n) +$$ + +If the components are independent, this becomes + +$$ +p_{f,sys} = \prod_i^n P(F_i) +$$ + +Although we will not quantify the effect of dependence in depth here, it is easy to see semi-quantitatively that positive dependence increases the intersection probability, and therefore also increases $p_{f,sys}$. Negative dependence has the opposite effect. In fact, if parallel components are mutually exclusive the system is guaranteed to survive. The case of negative dependence is trivial in engineering reliability computation, but something that is used to motivate the incorporation of resilience or robustness in our risk reduction decisions. + +### Series System + +A series system fails if *any* component fails, which is + +$$ +p_{f,sys} = P(F_1 \cup F_2 \cup ... \cup F_n) +$$ + +For two components this can easily be re-written as + +$$ +p_{f,sys} = P(F_1) + P(F_2) - P(F_1 \cap F_2) +$$ (sys_p_series) + +Although it is straightforward to write out terms for 3 or more components, it is easier to re-write the union formulation as the complement of joint *survival* of the system: + +$$ +p_{f,sys} = 1 - P(\bar{F}_1 \cap \bar{F}_2 \cap ... \cap \bar{F}_n) +$$ + +As $\bar{F}_i=1-F_i$, we arrive at the following simple relationship: + +$$ +p_{f,sys} = 1 - \prod_i^n \left(1-P(F_i)\right) +$$ + +The influence of dependence on a series system is most easily understood through consideration of {eq}`sys_p_series`, which allows a direct analogy to the parallel case through the intersection term. With positive dependence, the system failure probability decreases + +% add exercise to show equivalence for 3 or more components. + +### Quantification of Dependence + +{numref}`sys_dependence` quantifies the effect of dependence on the join probability of failure of two components. The joint failure probability is calculated using the multivariate normal distribution which has a linear dependence measure, the correlation coefficient, $\rho$. The blue line shows the series system failure probability, equivalent to {eq}`sys_p_series`. The figure allows one to evaluate the quantitative effect of dependence on series and parallel systems, and even illustrates the bound of $p_{f,sys}=P(F_1)$ for the case of $\rho=+1$. + + +```{figure} ../figures/system-corr-coeff.PNG +--- +width: 400px +name: sys_dependence +--- +Effect of correlation coefficient on failure probability for a series system via joint failure, $P(F1 \cap F2)$ (computed with a Gaussian copula). The arrow is located at $\rho=+0.9$, where $P(F1 \cap F2)=0.003$. +``` + +````{admonition} Tips for Interpreting the Figure +:class: tip, dropdown + +{numref}`sys_dependence` is interesting because it shows the effect of dependence on *both* series and parallel systems, since they are related with {eq}`sys_p_series`, the value that is shown in the blue line. Note that the distance between the blue line and the top reference line is the value of the intersection, $P(F1\cap F2)$ (also called the "joint" or "and" probability). Note that without a joint probability distribution (in this case a bivariate Gaussian), you can't compute the joint probability of two events, except for three special cases, the vertical black lines in the figure---do you know what those values are? This is related to the concepts of dependent, mutually exclusive and statistically independent events, which are easy to confuse with each other. + +It is also common to think about dependence in the sense of how "one event happens given that the other event has happened," but this is not quite right. Dependence is describged simply by the definition of conditional probability + +$$ +P(F1 \cap F2) = P(F1|F2)\cdot P(F2) +$$ + +which means the correct statement is that dependence quantifies how the "*probability* of one event *changes* (or not) given that the other event has happened." +```` + +## Chapter Overview + +This page contains a brief introduction to the computation of failure probability for series and parallel systems, and describes the role of dependence. The following section illustrates these concepts with a simple exercise. + +### Additional Information + +The word 'system' in the title of this chapter refers to a reliability analyses made up of more than one distinct components. It may or may not be the same as the system for which the risk analysis is being done. For example, in the flood risk case we look at a dike ring, which is a series system of dike segments. Each dike segment can fail in a variety of ways (e.g., sliding or eroding), where if *any* of these types of failure occurs, the dike fails; a series system. Thus, the dike ring is a series system, where each component also a series system. + +% add a note about systems of systems, and being able to simplify problems. add figure too (there was one in Chapter 3, originally) + +%Sometimes the distinction between system and component reliability is made because components are very different. Sometimes it is a matter of convenience, as two components may share a number of random variables through their respective limit-state functions that influence failure. + +System reliability analysis can look very similar to component reliability problems, especially when various combinations of discrete and continuous random variables are incorporated. In reality, all of these problems are generalized by the concept of a multivariate probability distribution. The concepts are separated following conventions in engineering practice, as well as for the convenience of illustrating analytic and numerical solutions. + +--- + +_The primary author for this chapter is Robert Lanzafame._ \ No newline at end of file diff --git a/book/risk-analysis/definition.md b/book/risk-analysis/definition.md new file mode 100644 index 0000000..046f09b --- /dev/null +++ b/book/risk-analysis/definition.md @@ -0,0 +1,119 @@ +(risk_definition)= +# Definition of Risk + +Almost all activities in life are characterized by some level of risk. Especially in the design and management of engineering systems, risk and safety are key concepts and need to be taken into account explicitly. In social discussions no unambiguous meaning is assigned to the concept of risk. Two definitions given in the Oxford dictionary are: 1) a situation involving exposure to danger; 2) the possibility that something unpleasant or unwelcome will happen. + +The first definition focuses on the consequences, the second on the possibility or probability. Quantifying and evaluating risks based on either probabilities or consequences (not both) is less realistic. For example, the risk of losing € 100 with a probability of 50% is different than the risk of losing € 1000 with the same probability. Also, the risk associated with losing a given sum of money will depend on the probability of the event. +An often-used definition considers risk as an expected value: + +*Risk is the probability of an undesired event multiplied by the consequences.* + +The unit of risk now depends on the units of probability and consequences, where probability of an event is generally expressed as the probability per unit time, for example per year. The consequences of an undesired event often measure a diverse array of damages, such as material, ecological, injuries and fatalities. In many applications engineering consequences are expressed by means of a monetary value, in which case the unit of the risk (or expected value, $E(d)$) then becomes € per year. For a case with one event scenario $i$ with probability $p_{i}$ it yields: + + $$ + E(d_i) = p_{i} \cdot d_{i} + $$ + +A more general definition of risk has been given by Kaplan and Garrick (1981): + +>Risk is a set of scenarios, $s_{i}$, each of which has a probability, $p_{i}$, and a consequence, $d_{i}$. + + +This definition allows the use of various so-called risk metrics (or risk measures) to quantify or depict risk. The expected value of the damage for a set of multiple discrete scenarios $i=1,....,n$ , can be expressed as: + +<!-- $$ +E(d) = \sum_{S_{i=1}}^{n}p_{i}d_{i} +$$ (eq_risk_definition) --> + +```{math} +:label: eq_risk_definition + +E(d) = \sum_{S_{i=1}}^{n}p_{i} \cdot d_{i} +``` +For the set of scenarios considered, the expected value quantifies risk precisely; however, it does not give insight in the magnitude of probability and consequences and the contribution of individual scenarios. For example, a single value does not indicate whether the risk is governed by a large number of scenarios with small consequences, or a few scenarios with large consequences and low probabilities. Therefore, an often-used companion risk-based tool is the risk curve, which shows the probability of exceedance and consequence for all scenarios. A well-known example of such a risk curve is the *FN curve*, which displays the probability of exceedance associated with $N$ (human) fatalities, schematized in {numref}`fn_simple01`. It is easy to compare the probability of exceeding a relatively low or high number of fatalities. + +```{figure} ../figures/fn_simple01.svg +--- +height: 600 +name: fn_simple01 +--- +FN curve, showing the probability of exceedance of a certain number of fatalities N on Log-Log scale. +``` + +The FN curve was originally introduced in the 1960's for the assessment of risks in the nuclear industry {cite}`farmer1967,kendall1977` and is now used to display and limit risks in a wide variety of industries around the world. It is an extremely useful way to quantitatively compare risk associated with a broad range of scenarios, and to make decisions. A famous example of this is shown in {numref}`risk-curve-baecher`, which compares the risk estimated for a wide variety of engineering infrastructure. This figure is described further in the {ref}`risk_curve` Section, and also illustrates the concept of acceptable risk, which is discussed in the Section on {ref}`safety_standards`. In short, it allows one to begin answering the question 'how safe is safe enough?' + +```{figure} ../figures/risk-curve-baecher.PNG +--- +height: 400px +name: risk-curve-baecher +--- +Risk curve for various engineering projects, showing probability of exceeding a specific number of fatalities, $N$, and damages, $, on a Log-Log scale, making it both a FN and FD curve; see {ref}`risk_curve` Section. Source: {cite:t}`baecher2003`, based on {cite:t}`baecher1982` and described in {cite:t}`baecher2021`. +``` + +## Hazard, Vulnerability and Exposure + +Engineering disciplines that are focused on decision making where natural hazards play a significant role often define risk as the combination of hazard, exposure and vulnerability, as shown in {numref}`risk-hazard`. +* Hazard: A dangerous phenomenon, substance, human activity or condition that may cause loss of life, injury or other health impacts, property damage, loss of livelihoods and services, social and economic disruption, or environmental damage +* Vulnerability: The characteristics and circumstances of a community, system or asset that make it susceptible to the damaging effects of a hazard +* Exposure: People, property, systems, or other elements present in hazard zones that are thereby subject to potential losses + +```{figure} ../figures/risk-hazard.svg +--- +height: 200px +name: risk-hazard +--- +Alternative definition of risk as intersection of hazard, exposure and vulnerability. Risk is the small triangular-shaped area where all three circles overlap. +``` +Often these terms are useful for framing qualitative discussions around complex topics where a quantitative analysis may be out of reach, for example, as done in IPCC reports on climate change {cite:p}`cardona2012`. However, they can also be used to simplify the risk analysis by subdividing it into parts that are (computationally) independent. An analytic expression can easily be formulated by expanding the probability term of Equation {eq}`eq_risk_definition`: + +```{math} +:label: eq_risk_definition_HEV + +p_{i} = P(N_i,E_j,H_k) = P(N_i|E_j,H_k) \cdot P(E_j|H_k) \cdot P(H_k) +``` + +where $N_i$, $E_j$ and $H_k$ are the vulnerability (fatalities), exposure and hazard of scenario $i$, respectively. Combining with Equation {eq}`eq_risk_definition` and taking the sum over all combinations of variables ($i$, $j$, $k$) would give the total risk. In the case of our flood management case, an example of each term could be: +- Hazard, $H_k$: a high water level. +- Exposure, $E_j|H_k$: breach (failure) of a dike due to the high water level, $H_k$. +- Vulnerability, $N_i|E_j,H_k$: fatalities given the broken dike and high water level. $N$ is usually modeled as a random variable as it is dependent on factors such as evacuation effectiveness and flood warning systems. + +% Point out that this formulation simplifies the calculation, promots the use of tools like fragility curves, and give earthquake hazard assessment as an example (DRMS?). + +## Other Risk Definitions + +This book uses Equation {eq}`eq_risk_definition` as the primary definition of risk. However, it is useful to highlight some risk concepts used in other domains. + +Within economics, risk is generally associated with a deviation from the expected return or the probability of loss. In social sciences risk is often considered as a contextual notion or social construct. {cite:t}`vlek1996` has summarized 11 formal definitions used in social sciences, see Table {numref}`risk_definitions`. In some of these definitions (e.g. numbers 2 and 4) the perceived seriousness of the undesired consequences plays an important role. Examples of other, more informal risk definitions used in psychology are “the lack of perceived controllability”, “set of possible negative consequences” and “fear of loss” {cite:p}`vlek1996`. + +Substantial research has also focused on factors that determine the perception of risk (e.g. {cite:t}`slovic1987`, {cite:t}`vlek1996`) including: degree of damage, controllability of and familiarity with hazards, extent of benefits from an activity, and voluntariness of exposure. + +:::{list-table} Formal definitions of risk used in social sciences {cite:p}`vlek1996` +:header-rows: 1 +:name: risk_definitions + +* - No. + - Definition +* - 1 + - Probability of undesired consequence +* - 2 + - Seriousness of (maximum) possible undesired consequence +* - 3 + - Multi-attribute weighted sum of components of possible undesired consequences +* - 4 + - Probability $\cdot$ seriousness of undesired consequence (‘expected loss’) +* - 5 + - Probability-weighted sum of all possible undesired consequences (‘average expected loss’) +* - 6 + - Fitted function through graph of points relating probability to extent of undesired consequences +* - 7 + - Semi variance of possible undesired consequences about their average +* - 8 + - Variance of all possible consequences about mean expected consequence +* - 9 + - Weighted sum of expected value and variance of all possible consequences +* - 10 + - Weighted combination of various parameters of the probability distribution of all possible consequences +* - 11 + - Weight of possible undesired consequences (‘loss’) relative to comparable possible desired consequences +::: + diff --git a/book/risk-analysis/overview.md b/book/risk-analysis/overview.md new file mode 100644 index 0000000..2fd0574 --- /dev/null +++ b/book/risk-analysis/overview.md @@ -0,0 +1,13 @@ +# Risk Analysis + +This book splits risk into two parts: risk *analysis* and risk *evaluation.* This chapter considers the analysis of risks from a broad perspective, beginning with definitions and key steps of a risk analysis, illustrated quantitatively through an FN curve. The next two chapters explore quantitative analyses (component and system reliability) before returning to risk evaluation concepts of decision theory, cost benefit analysis and safety standards, where the principal focus is on making decisions and answering the question 'how safe is safe enough?' + +--- + +_The primary authors for this chapter are Bas Jonkman and Robert Lanzafame._ + +% The relationship between safety standards and engineering design is indicated in section 3.6...may be useful to add + +% It is noted that a (probabilistic) risk analysis is different from a (deterministic) scenario analysis. A risk analysis is based on quantitative analysis of all (known) undesired events and their probabilities and consequences. A scenario analysis considers one (or a limited number) of design scenarios, often without considering its failure probability. Both approaches are complementary, as a scenario analysis considers one of the scenarios from the risk analysis. + +% In the Netherlands, scenario analysis is often used for evaluating disaster preparedness and designing the capabilities of emergency management services. For example, in the design of the Green Heart Tunnel which is a part of the high speed rail line in the Netherlands, a single accident scenario was chosen to design the emergency exits out of the tunnel. Analysing a high impact, low probability scenario in detail may provide helpful clues about the effectiveness of particular safety measures or crisis management actions. While such analyses may be helpful, it would be wrong to assume that such high-impact, low probability scenarios should always be properly manageable by emergency responders. This is because the probability of harm should be an integral part of any cost-benefit or cost-effectiveness analysis (Jongejan et al., 2011). \ No newline at end of file diff --git a/book/risk-analysis/risk-curves.md b/book/risk-analysis/risk-curves.md new file mode 100644 index 0000000..b76dc49 --- /dev/null +++ b/book/risk-analysis/risk-curves.md @@ -0,0 +1,86 @@ +(risk_curve)= +# Risk Curve + +As introduced in the {ref}`risk_definition` Section, the risk curve is useful for evaluating the expected damages for a wide range of scenarios. In contrast to the total expected damages, it allows the comparison of relative magnitude of probability of occurrence and associated consequences. An FN curve tends to be the most widely used, where the 'N' refers to number of fatalities and the 'F' in comes from the CDF of the probability distribution of $N$, $F_N(n)$, although the curve itself actually represents the complementary CDF, $1-F_N(n)$. It is often plotted on a log-log scale to allow comparison over a wide range of scenarios. While in theory a risk curve can be derived from the probability density function (or probability mass function for discrete cases), the distribution of damages is rarely known and must be approximated by considering a finite and suitable set of discrete events. Thus, in practice, the curve is constructed using scenarios as defined previously in our risk definition (Equation {eq}`eq_risk_definition`). + +Although the FN curve is widely used, the risk curve is not exclusively applied to evaluate expected number of fatalities, $N$. In principle any measurable quantity can be used to evaluate risk, referred to as a *metric,* although it can be difficult to apply this to some situations. For example, assessing the value of environmental characteristics can be challenging because the benefit is not easily related to a measurable quantity. The area of impacted wetland habitat during a flood (e.g., km$^2$) can be used as a risk metric, but this may not properly represent actual damage, which may recover quickly or slowly depending on the frequency of inundation. Financial damage (e.g., €) is often considered as a risk metric, in which case the FN curve is called an *FD curve.* + +```{admonition} Fatalities and Damages +:class: tip, dropdown +In some cases it is useful for planning and design purposes to equate $N$ and $D$, but this places a specific financial value on human life, which raises difficult moral and ethical concerns. This topic is discussed further in the {ref}`value_human_life` Section. +``` +%(risk_curve_examples)= +<!-- ## Risk Curve Examples + + +Why is an FN Curve useful? + +```{warning} +Add Dike Ring 14 and nuclear (with EQ?) case. +``` + +### Flood Risk in South Holland + +### Nuclear Power Plants --> + +(risk_curve_famous)= +## A Famous Risk Curve + +A risk curve is often useful because it can convey a large amount of complex information in an easily recognizable format. University lectures and conference presentations around the world which focus on risk, especially for civil engineering applications, will often begin with a casual reminder that 'risk is probability times consequences' and show some version of a risk curve. {numref}`risk-curve-baecher-2` is the most famous risk curve, having been shared widely over the last decades, perhaps because it so nicely compares a wide range of engineering projects. + +```{figure} ../figures/risk-curve-baecher.PNG +--- +height: 400px +name: risk-curve-baecher-2 +--- +Risk curve for various engineering projects, showing probability of exceeding a specific number of fatalities, $N$, and damages, $, on a Log-Log scale, making it both a FN and FD curve; this figure is also included in the {ref}`risk_definition` Section. Source: {cite:t}`baecher2003`, based on {cite:t}`baecher1982` and described in {cite:t}`baecher2021`. +``` + +{numref}`risk-curve-baecher-2` was created as part of a risk analysis for a petrochemical storage facility in Tokyo Bay, Japan, where large tanks, constructed on soft soils (hydraulic fill), are vulnerable to damage during an earthquake. Of primary concern was to prevent the petrochemicals entering bay waters, thus not only failure of the storage tanks, but also the containments systems in place to collect spilled material (a complicated system reliability problem). The client needed to convince the regulator that the final design was sufficient for keeping the risk of loss of containment to a sufficiently small level, which the project team was able to do by comparing the risk calculated for the Tokyo site to other engineering works around the world. The figure clearly illustrates what the estimated risk is for each project, and by making the assumption that these already-constructed projects provide a level of safety that is acceptable to society (primarily via regulatory agencies), the 'acceptable' line can be used to approve other projects. This concept of acceptable standards based on risk curves is covered in depth in the Section on {ref}`safety_standards`. + +The origin of this figure was described a Terzaghi Lecture by Professor Gregory Baecher, which can be viewed on YouTube: [*IFCEE 2021: Karl Terzaghi Lecture: Greg Baecher: Geotechnical Systems, Uncertainty, and Risk*](https://www.youtube.com/watch?v=Y5w1p3uAe0I&ab_channel=Geo-InstituteofASCE) {cite:p}`baecher2021`}. The introduction to the Tokyo Project begins at [16:16](https://www.youtube.com/watch?v=Y5w1p3uAe0I&t=976s), and the explanation of the risk curve is given at [27:00](https://www.youtube.com/watch?v=Y5w1p3uAe0I&t=1620s); however, the entire lecture is well worth listening to and closely related the subject of this book. + +## Construction of an FN Curve + +The following three figures illustrate the computation of an FN curve for a system with two mutually exclusive event scenarios: +- Accident 1 with $N_{1}=10$ fatalities and a probability of $P_{1} = 10^{-2}$ per year +- Accident 2 with $N_{2}=100$ fatalities and a probability of $P_{2} = 10^{-3}$ per year + +First, the probability mass function is created $f_N(n)=P(N=n)$, taking care that the probability of no fatalities is included: + +$$ P(0) = 1 - P_{1} - P_{2} = 1 - 0.01 - 0.001 = 0.989 $$ + +The cumulative distribution function, $F_N(n)=P(N\leq n)$, can thus be easily computed, as well as the probability of exceedance, $1-F_N(n)$, also known as the *FN curve.* Note that if a risk metric such as damage in Euros was being used, we would call this the *FD curve* and use $D$ to denote the random variable, as in $f_D(d)$ and $F_D(d)$ + +While the curves below illustrate probability and consequences associated with specific scenarios, the expected value of the distribution can be computed, which is equivalent to the area under the FN curve. This is useful can be used to assess the entire system. For this example, the expected value of fatalities per year for all scenarios can be computed as follows: + +$$E(N) = P_{1}N_{1} + P_{2}N_{2} = 0.2\quad \textsf{(fatalities per year)}$$ + +```{figure} ../figures/ex_FN_curve_step_01_py.svg +--- +width: 400 +name: ex_FN_curve_step_01 +--- +Probability mass function (PMF), $f_N(N)$. +``` + +```{figure} ../figures/ex_FN_curve_step_02_py.svg +--- +width: 400 +name: ex_FN_curve_step_02 +--- +Cumulative distribution function (CDF), $F_N(n)$. +``` + +```{figure} ../figures/ex_FN_curve_step_03_py.svg +--- +width: 400 +name: ex_FN_curve_step_03 +--- +Exceedance probability (FN curve), $1-F_N(n)$. +``` + +```{admonition} Practice Exercise +:class: tip +You can practice constructing a simple FN curve in {ref}`ex_fn_curve`, although some of the questions require knowledge of limit lines, introduced in the {ref}`safety_standards` Section. +``` \ No newline at end of file diff --git a/book/risk-analysis/steps.md b/book/risk-analysis/steps.md new file mode 100644 index 0000000..154fe6c --- /dev/null +++ b/book/risk-analysis/steps.md @@ -0,0 +1,144 @@ +(risk_steps)= +# Steps in a Risk Analysis + + +The previous section made it clear that risk is a function of probabilities and consequences. Risk analysis, therefore, consists of an analysis of probabilities and consequences associated with undesired events in a given system. Alternative terms used in literature are risk assessment and quantitative risk analysis (QRA). + +A risk analysis is carried out because involved parties (e.g. designers, managers, decision makers) want to identify and evaluate the risks and decide on their acceptability. Outcomes of risk analysis can be used in the design process to decide on the required safety levels of new systems (e.g. a new tunnel) or to support decisions on the acceptability of safety levels and the need for measures in existing systems (e.g. a flood defence system). A quantitative measure of some form is needed to transfer decisions on acceptable safety into a technical domain {cite:p}`voortman2004`, such as the height of a flood defence or the strength of a building. In addition, risk analysis can be used to analyse the effectiveness of risk reduction measures, including management and maintenance strategies. Whereas the primary goal of a risk analysis is often to support rational decision-making regarding risk-bearing activities {cite:p}`apostolakis2004`, it also provides insight in the way a system may fail. As such, it can also serve as a tool of communication and management. Insights drawn from a risk analysis can be used to optimize system design and management and often there is a direct link to quality assurance. + +In general, the following elements can be identified within a risk analysis, (based on: {cite:t}`CUR1997`, {cite:t}`CIB2001`, {cite:t}`faber2003` and {cite:t}`jongejan2008`): + +1. System definition and setting the scope and objectives of the analysis; +2. Qualitative analysis of undesired events; +3. Quantitative analysis of the risk; +4. Risk evaluation (of the acceptability of the risk) + +Each of these steps is illustrated in {numref}`risk-steps` and described in more detail below, providing context for the following chapters in this book. In addition to the risk analysis of a given system, *risk management* also includes the element ‘risk reduction and control’. Depending on the outcome of the first four steps of the analysis, measures can be taken to reduce the risk, which will lead to changes in the system configuration and risk level. Steps 1--4 are often repeated several times with adjusted system specifications to obtain an optimal design. + +```{figure} ../figures/risk-steps.PNG +--- +width: 250px +name: risk-steps +--- +Schematic view of steps in risk analysis (risk assessment) and risk management. +``` + +## 1. System definition + +This step entails the definition and description of the system as well as the scope and objectives of the analysis. Usually a system is divided into components and subsystems, which can be schematised graphically. Further information on the decomposition and analysis of system is provided in the {ref}`rel_sys` Chapter of this book, and illustrated through the example exercises. + +A system can be represented in terms of physical components, organizations and users, and an external environment. In order to analyse failure and risks, not only physical components, but also organizations and operators and users need to be considered (see e.g. {cite:t}`bea1998`), as different groups of organizations and persons will be involved in different roles. Consider the aviation industry, where professionals may be responsible for operation and management of the system (e.g. the pilots and crew in an aircraft), but important roles are also played by the users of a system (passengers) and external parties (people living near the airport exposed to risk and noise). Each group has a different relationship and attitude towards the risk, which could affect its acceptability. For example, a higher risk might be acceptable for pilots and crews in an aircraft (who derive a direct benefit from flying) than for regular passengers. Finally, the external environment (e.g. wind or runway conditions) will determine the loads on the system and affect potential failure mechanisms. + +## 2. Qualitative analysis + +In this step, potential hazards, undesired events, failure mechanisms and scenarios are identified and described. An important goal of this phase is to gain insight, as complete as possible, into all possible undesired events and their consequences. For most systems, multiple undesired events can be distinguished. For example, two events with different impacts that can both lead to flooding of a polder are 1) the inflow of large amounts of water due to a dike failure; 2) the inflow of smaller amounts of water when a sluice gate is not closed. + +Failure occurs when a system no longer fulfils one or more desired functions, where the failed state can be reached through different failure mechanisms (or failure modes). For example, a dike can fail due to overtopping, but also due to geotechnical failure mechanisms such as instability or piping. A **limit state** is a condition of a structure beyond which it no longer fulfils the relevant design criteria {cite:p}`eurocode2001`, of which two types are distinguished in practice: serviceability and ultimate limit states (SLS and ULS, respectively). + +- **Ultimate limit state (ULS)**: failure or collapse of a system or structure occurs, for example, the breakwaters of a harbour entrance are destroyed as a result of extreme conditions. An example from structural engineering is the collapse of a roof of a building. +- **Serviceability limit state (SLS)**: exceedance leads to temporary and/or partial failure. For example, inability to use the harbour due to waves that are (temporarily) too high. Another example could be too much vibration of a structure, such that users experience discomfort. + +Further information on the use of the SLS and ULS concepts in civil engineering is included in the {ref}`rel_comp`. + +In a risk analysis, it is very important to get an overview of the various undesired events and failures before proceeding with a quantitative analysis, as many accidents in practice are caused by failing to identify failure modes. Unfortunately, creating a complete list of threats and failure modes is not an easy task. Support for this process can be found through are failure databases, literature studies, interviews, experiences with comparable systems, brainstorm sessions, et cetera. In addition, formal techniques for systematically identifying undesired events exist, such as Failure Modes and Effects Analysis. + +## 3. Quantitative Analysis + +The probabilities and consequences of the undesired events identified in step 2 are quantified in this step, and risk is quantified in as expected damage(s) or with a risk graph as described in the next Section. + +### Probability + +In simple cases the probability can be computed directly, but generally the undesired event must broken down into multiple steps or processes to facilitate the computation of probability, which are then recombined using integration or the total probability theorem. Such an approach results in systems of systems, each of which is composed of individual *components* (or elements), each of which is typically evaluated using the limit state concepts defined above. Often this the probability of a limit state being exceeded is referred to as the probability of failure, which of course reflects the component, not necessarily the system. Techniques for computing the probability of failure are covered in the {ref}`rel_comp` and {ref}`rel_sys` Chapters. + +Whereas the most critical aspect of the previous step is identifying the most important failure modes, in the quantitative analysis it is critical to precisely define the quantity of interest, as ambiguity can lead to misunderstandings and incorrect assessment of risk. Often such ambiguities have a direct relationship with the conditional terms used inthe probability computations, which imply specific statements about dependence (or independence). Consider the previous example of river level exceeding the dike height $P(h_w>h_{dike})$: the probability can be significantly different if a design lifetime of one year or fifty years is considered. In addition, the time of year may also play a role as different types of floods may occur. If the seasonal probability of flooding is binary and mutually exclusive with wet and dry season each lasting 6 months of the year, the following expression holds (all values computed an a *per year* basis): + +$$ +P(h_w>h_{dike}) = 0.5 \cdot P(h_w>h_{dike}|\mathrm{wet}) + 0.5 \cdot P(h_w>h_{dike}|\mathrm{dry}) +$$ + +Thus, if the risk analysis were only focusing on floods during the wet season, the probability of flooding would be overestimated by a factor on the order of 2 (assuming the probability is roughly equal in dry and wet seasons). + +### Consequences + +After failure has been defined, consequences of the events are quantified. First, physical effects associated with an undesired event are considered, sucha s heat and/or smoke from a fire, or inflow of water due to dike breach. Depending on the exposure of people or objects to the physical effects, damages, life loss or other impacts may occur. As an example, a specific consequence, $D$, of dike failure during a flood is considered as a sequence of three discrete events: + +- The probability that a dike fails, $P(E_{1})$ +- The conditional probability that water flows into the polder given a dike breach $P(E_{2}|E_{1})$ +- The probability of damage given dike breach and inflow into the polder $P(D|E_{1}\cap E_{2})$ + +The probability of damage can now be computed by combining these terms: + +$$P(D)=P(E_{1})P(E_{2}|E_{1})P(D|E_{1}\cap E_{2})$$ + +which is analagous to the hazard, vulnerability and exposure formulation of risk introduced in the previous Section. + +Multiple types of consequences can be caused by one disaster, which are illustrated in {numref}`risk_damage_types` for the failure of a flood protection system. The damage is divided into tangible and intangible damage, depending on whether or not the losses can be assessed in monetary values. Another distinction is made between the direct damage, caused by physical effects of the event, and damages occurring outside the directly exposed area. The latter occurs when companies outside an impacted area experience damages, due to loss of demand from customers in the flooded area. In a risk analysis it is desirable to take into account a complete set of impacts; unfortunately many of the items from the table cannot be easily quantified, if at all, thus the quantitative analysis and risk evaluation are often focused on economic damages and life loss. + +:::{list-table} General classification of damages, based on {cite:p}`vrouwenvelder1996` +:header-rows: 1 +:name: risk_damage_types + +* - + - Tangible + - Intangible +* - Direct + - + - +* - + - Residences + - Fatalities +* - + - Structure inventory + - Injuries +* - + - Vehicles + - Animals +* - + - Agriculture + - Utilities and communication +* - + - Infrastructure and other public facilities + - Historical and cultural losses +* - + - Business interruption + - Environmental losses +* - + - Evacuation and rescue operations + - +* - + - Reconstruction of flood defences + - +* - + - Clean up costs + - +* - Indirect + - + - +* - + - Damage for companies outside the exposed area + - Societal disruption +* - + - Substitution of production outside the area + - Damage to government +* - + - Temporary housing of evacuees + - +::: + +## 4. Risk Evaluation + +In the risk evaluation phase a decision is made whether the risk is acceptable or not and whether risk reduction measures should be implemented. In other words, a direct answer is sought to the question “how safe is safe enough?” {cite:p}`starr1967`. Results of the quantitative analysis provide input for risk evaluation and decision making, and different quantitative approaches can be used to support risk evaluation, which are outlined here and introduced formally in the {ref}`risk_eval` Chapter. + +**Decision Analysis**: Also called 'decision making under uncertainty,' this approach aids the decision-making process by recording different possible outcomes along with the associated risks, costs and benefits, leading to the optimal selection from a number of alternatives. Often visual tools are used such as a risk matrix or decision tree. + +**Cost Benefit Analysis**: costs and benefits of risk reduction measures are considered. When a large number of design choices are possible, an **economic optimization** can be applied to select an optimal system design, based on the costs and benefits of risk reduction. + +**Safety Standards**: risk is compared with predetermined safety standards to directly determin acceptability. Such standards are typically imposed by government organizations or standards of practice and often focus on loss of life as the primary risk metric. + +Given the nature of the key question "how safe is safe enough?", several political, psychological and social processes play a role in the evaluation of risk---in other words: risk evaluation is not purely a technical process, but involves many subjective elements and decisions. One difficulty facing regulators is that preferences and risk attitudes within society may diverge and that costs and benefits may not be distributed evenly, and that a single, collective decision has to be based on strongly divergent individual preferences. In practice, this implies that the establishment of collective decision making procedures is inevitably a political process. This ambiguity can also be found in the numerous interpretations of “the” precautionary principle, which is interpreted by some as a decision making criterion that requires proof of harmlessness (a scientific impossibility), whereas it is seen by others as a decision making procedure that puts emphasis on dialogue and stakeholder involvement, (e.g. {cite:t}`jongejan2008`). + +## 5. Risk Reduction and Risk Control + +If the risks evaluated in first four steps of a risk analysis are considered unacceptable, several forms of risk reduction can be implemented, such as changes to the engineered system, or changes to its organization and management. It can be helpful to determine how risk can be controlled, for example by monitoring, inspection or maintenance. + +Post-accident analysis indicates that human and organizational errors are still a major cause of failure in civil engineering systems, and it seems that the only suitable way to reduce human errors is by the incorporation of sufficient control in different phases of the construction process {cite:p}`taerwe1986`, and by a thorough education of all personnel involved. Therefore, an extensive interaction between the safety methodology and quality management is a necessity in order to guarantee the safety of infrastructure. \ No newline at end of file diff --git a/book/risk-evaluation/cost-benefit.md b/book/risk-evaluation/cost-benefit.md new file mode 100644 index 0000000..cee0619 --- /dev/null +++ b/book/risk-evaluation/cost-benefit.md @@ -0,0 +1,138 @@ +(cost_benefit)= +# Cost Benefit Analysis + +This section deals with simplified cost benefit analysis for risk reduction interventions in the engineering domain. An important question in evaluating (engineering) projects is whether the benefits outweigh the costs. Cost benefit analysis (CBA) is generally used for appraisal of a wide range of effects of projects or interventions in order to support decision making. The cost benefit analysis starts with defining the system and existing situation. Then, a broad range of effects of the proposed project and intervention can be identified. + +{numref}`costs_and_benefits` below shows an overview of effects of the Delta works that were built after the 1953 flood disaster in the Netherlands. The main aim of the delta works was to provide flood protection to the Southwest of the Netherlands. However, other effects included the agricultural benefits to the region (benefits) and the effects on environmental quality in the estuaries in which dams were built (costs or negative effects). + +```{list-table} Costs and benefits of the delta works +:header-rows: 1 +:name: costs_and_benefits + +* - Costs + - Benefits +* - Construction and maintenance costs + - Reduction of flood risk (damage, loss of life) +* - Loss of environmental quality + - Improvement of infrastructure +* - + - Recreation +* - + - Agricultural benefits +* - + - Economic stimulus for the region +* - + - Economic stimulus for the water engineering sector +* - + - National Pride +``` + +A choice has to be made for which effects in the CBA are evaluated in monetary terms. For some items, such as construction costs or economic risk reduction (see below) this is straightforward. For other items such as environmental effects or reduction of risk to life, approaches for monetary evaluation exist, but they are not standardized or undisputed. + +## Risk Reduction via Probability + +When considering investments that primarily focus on risk reduction (e.g. dike reinforcement or reinforcing of buildings for earthquakes), the main benefits will consist of the reduction of expected economic damages. For a measure to be cost effective, the investments should be smaller than the risk reduction. + +$$ +I < \Delta E(D) +$$ (investment) + +where: + +- $I$ is investments +- $\Delta E(D)$ present value of risk reduction + +This formula can also be used to calculated the benefit/cost ratio, i.e. $\Delta E(D)/I$, which should be greater than 1 for cost effective projects. Note that all costs and the risk reduction are given in terms of present value with a unit of €. + +For investments that focus on prevention (i.e. reducing the failure probability of the system) {eq}`investment` can be formulated as follows. + +$$ + I < (P_{f,0} - P_{f, new}) D +$$ + +where: + +- $P_{f,0}$ the initial failure probability +- $P_{f,new}$ the failure probability after risk reduction investment + +```{admonition} Example: Drainage of a construction site - costs and benefits +The example from the previous section could also be formulated as a simplified cost-benefit analysis. The same values for the variables are used. The costs of the drainage are €150,000. The benefits are equal to the risk reduction, i.e. + +$$ + \Delta E(D) = (P_{f,0} - P_{f,d}) = (0.12 - 0.04)\text{€} 5,000,000 = \text{€} 400,000 +$$ + +This shows that costs are smaller than the risk reduction benefits, i.e. $I<\Delta E(D)$. The benefit/cost ratio equals €400,000/€ 150,000 = 2.66 + +One can easily show that the investment would just be acceptable if the benefits and costs are equal, i.e. when the benefit / cost ratio equals 1. This would still be the case if the probability of failure with drainage equals $P_{f,d} = 0.09$. +``` + +## Risk Reduction via Damages + +Other types of interventions do not affect the probability of an accident, but focus on reducing the damages. They are often indicated as mitigation. An example in the field of flood management concerns raising buildings instead of reinforcing the dikes. In this case the criterion becomes: + +$$ +I < P_{f,0}(D_0 - D_{new}) +$$ + +where: + +- $D_0$ the initial damage [€] +- $D_{new}$ the damage after investments in reducing the consequences [€] + +## Net Present Value + +The foregoing assumes that both the costs and benefits are expressed in the same unit, generally in the form of a present value [€]. The net present value (NPV) represents the sum of the present values of the benefit and cost cash flows over a period of time. In engineering we often deal with situations with larger initial investments, whereas the risk reduction benefits are spread out over a longer time period. For example, when a government invests this year in flood protection, the costs are made in year 0, but the benefits will be spread over the coming decades. + +For such situations the failure probability is generally expressed per unit of time, mostly per year. That means that the risk (reduction) is expressed in terms of € per year, whereas the initial investments have the unit of €. The net present value of cost or benefit values over a future range of years can be calculated with {eq}`npv`. To calculate the net present value NPV [€] a discount rate should be used. The discount rate represents a required return on an investment. + +$$ + NPV = \sum_{t=1}^{T} \frac{C_t}{(1+r)^t} +$$ (npv) + +where: + +- $C_t$ the costs in year $t$ [€] +- $T$ the reference period [years] + +```{admonition} Interest Rates +:class: tip, dropdown +The discount rate, $r$, is analagous to opportunity costs and interest rates that you may be familiar with from the field of economics. It provides a way to evaluate the true cost of investing in a particular project over a long time period, for example: if the value of a stock market increases with an annual interest rate of 4%, how does that compare to the expected earnings on the alternative investment under consideration? + +Although civil engineering projects are typically not associated with financial investments like stocks and bonds, the need to consider the time value of money is identical. In fact, many governments use the financial instruments like bonds to finance projects, which is easy to see the relationship to interest rates. +``` + +The contribution of costs in a certain year to the net present value depend on the discount rate and the reference year. Costs or benefits closest to the present will have the greatest contribution. {numref}`present-value` below shows the value of $1/(1+r)^t$ for a given year $t$ for different discount rates. The higher the discount rate, the smaller the contribution to the net present value of costs or benefits that are far away from the present. For an infinite time horizon it can be shown that $\sum 1/(1+r)^t \approx 1/r$. This approximation can be used in evaluating engineering projects with a long life time. + +```{figure} ../figures/present_value.svg +--- +width: 600 +name: present-value +--- +Normalized present value of a cost or benefit in year $t$ for different discount rates. +``` + +(value_human_life)= +## Valuation of Human Life + +The previous paragraphs have focussed on the evaluation of economic costs and benefits of risk reduction interventions. Many of these interventions also directly focus on reducing injuries and fatalities. Examples are regulations and investments in traffic safety which have introduced measures such as airbags and seat belts. + +In literature on risk management the economic valuation of human life is often depicted as a difficult problem as it raises numerous moral questions. Some claim it is unethical to put a price on human life because life is priceless. The actual expenditures on risk reducing prospects show however that the investment in the reduction of risks to humans is always finite. Different approaches are available for evaluating the costs of interventions in relation to the reduction of risk to human life, see {cite:t}`vrijling2000`; {cite:t}`jongejan2005` for a further discussion of the various approaches. One of the options is to add the economic value of human fatalities to the economic damages, i.e. $D+N \cdot d$. The value of the number of lives lost can be determined with different approaches. + +Several approaches are based on so-called stated preferences. A survey can reveal how much people are willing to pay, e.g. for safety measures. In these cases the value of statistical life (VoSL) is obtained from the willingness to pay expressed by respondents in surveys. For example, in the cost benefit analysis for the flood defences in the Netherlands a value of a statistical life of €6.7 million per fatality is used {cite:p}`jeuken2013`. The Value of a Statistical life lost in traffic accidents is estimated at €2.6 million {cite:p}`SWOV2012`. + +One alternative approach is based on so-called revealed preferences. The costs of saving and extra (statistical) life ($CSX$) for actual life-saving interventions that have been taken in the past can be determined. + +$$ + CSX = \frac{I}{\Delta E(N)} +$$ + +where: + +- $CSX$ the costs of saving an extra life [€/life year] +- $\Delta E(N)$ the reduction of the expected number of fatalities per year + +An extensive study on values in various sectors, see {cite:t}`tengs1995` showed that these vary widely across sectors and even within sectors. The highest $CSX$ values are found for risks for small probability – large consequence events, for example in the nuclear domain. For such cases the expected number of fatalities is already small and investments in incremental safety are large. + +One other approach is to base the value of a human life on macro-economic indicators. Several metrics have been proposed that relate this value to a person’s economic production. +Given the difficulties associated with economic valuation of human life and the associated risk reduction, it is decided in some domains to develop separate criteria for considering the risk to life. This topic is further elaborated in ⚠️section 3.5. \ No newline at end of file diff --git a/book/risk-evaluation/decision.md b/book/risk-evaluation/decision.md new file mode 100644 index 0000000..9dfda7e --- /dev/null +++ b/book/risk-evaluation/decision.md @@ -0,0 +1,202 @@ +(decision)= +# Decision Analysis + +Decision analysis, or decision-making under uncertain conditions is part of everyday life: when choosing to buy a lottery ticket or choosing to take an umbrella during cloudy weather. In contrast to the rather intuitive decision making in everyday matters, a structured analysis of different alternatives with associated risks, costs and benefits is very useful for decisions in (civil) engineering. This chapter offers a very basic introduction into the decision theory with applications to decision problems in the civil engineering domain. Further reference is made to the work by other scholars for more rigorous and detailed treatment of this topic. See, for example {cite:t}`raiffa1961`; {cite:t}`benjamin1970`. + +## Introduction + +Making a decision is in fact choosing from alternatives. The decision theory is based on the classic “Homo Economicus” model assumes that the decision-maker: + + - has complete information about the decision situation; + - knows all the alternatives; + - knows the existing situation; + - knows which advantages and disadvantages each alternative provides, be it in the form of random variables; + - strives to maximise that advantage (formally called utility). + +The decision-making concept discussed in these lecture notes assumes this model, although decision-making in practice is often different since the above conditions are often not fulfilled. For example, there can be multiple decision makers and multiple objectives, and in reality the decision maker does not know all the alternatives or their outcomes. For many practical cases this has led to an extension of the decision model, but not to a fundamental adjustment of the classical model described here. + +Within a decision problem the following characteristics can be distinguished: + + - the set of all possible actions or decisions $a$, from which the decision maker can choose + - the set of all (natural) circumstances, $\theta$ that influence the outcomes* + - the set of the set of all possible results, $\omega$, which are functions of the actions and circumstances: $\omega = f(a,\theta)$. + +The actions, natural circumstances and the outcomes can be shown in a so-called decision tree (Figure {numref}`decision-tree-blank`). + +```{figure} ../figures/decision-tree-blank.png +--- +height: 300px +name: decision-tree-blank +--- +Decision tree. +``` + +Based on the possible results a choice is made for an action. To be able to assess the different results, a numerical value is assigned to each outcome, $\omega$, which can be used to establish the benefit of each outcome. This number can be a monetary value, a number on an arbitrary scale or utility--as long as the decision maker(s) can establish a consistent ranking of the outcomes with it. In the last two cases the benefit has no absolute value, but only gives the relative value of the different outcomes. + +Utility, $u$, is a concept used to rank the possible outcomes according to the preferences of the decision maker, with possible values $0\leq u \leq 1$ . A utility function can be used to characterize the relative utility of various outcomes. The elaborations below are based on the monetary values as a measure for the outcomes and assume a risk neutral decision maker. This is a decision maker who is indifferent between choices with equal expected outcomes, even if one choice is riskier than the other. For example, a risk neutral decision maker would have the same preference for a € 400 pay out, or a 50/50 bet with a coin toss with outcomes of € 0 (head) or € 800 (tail). Utility and risk aversion are further discussed in ater sections. + +## Decision rules + +Once a set of actions, circumstances and outcomes is known, various approaches can be used to come to a preferred decision. Various deterministic decisions rules are available which do not take into account the probabilities of the possible circumstances and outcomes. One example of such a decision rule is the minimax criterion: a decision maker wants to minimize maximum losses. This is in fact a risk-averse criterion. Another example is the maximax criterion: a decision maker chooses the option with the maximum income and is risk seeking. + +Although these decision rules are helpful in some cases, the probability of occurrence of certain circumstances is a key feature of the decision problem. Information on the probability of outcomes is needed for an optimal choice of action(s). For example, when making a decision to start a business in soup or ice cream, the decision maker would want to know what the probabilities of rainy or sunny weather are. Selling ice cream in Dutch winter will probably not make a good (expected) profit, but it would be a profitable business in a Mediterranean summer. + +Therefore it is necessary to include information on the probabilities of circumstances and outcomes, in order to determine a rational action with the highest expected value of the benefit. This theory is known as the Bayesian decision theory. In a probabilistic or Bayesian decision framework the optimal action $a*$ is defined as the one maximizing the expected utility. The following formula is found for the case with discrete outcomes. + +$$ +a^*: \max_a E(u(a, \theta))=\max _a \sum_\theta u(a, \theta_i) P(\theta_i) +$$ +In which $u(a, \theta)$ is the utility of action a under circumstance $\theta$ and $P(\theta)$ is the probability that circumstance $\theta_{i}$ occurs. + +A rational decision is choosing the action with the highest expected (utility) value or highest benefit if outcomes are expressed in monetary values. This is illustrated in the example below. Note that other examples in these lecture notes will also be based on monetary values. + +````{admonition} Example: buying shares or bonds? + +Suppose a person has €1000 at his or her disposal and is given the choice to invest this money in bonds or in shares of a given company. It is known that, on a yearly basis, 3 % of the current market value is distributed as interest on the bonds. The dividend of the shares depends on the company’s profit. Suppose that the board of directors have made the following agreements: +- for a profit smaller than 5% of the shareholders capital, no dividend is paid; +for a profit larger than 5% of the shareholders capital, dividend is paid, the percentage of which corresponds to 3% of the current market value of the shares; +- for a profit larger than 10% of the shareholders capital, the dividend corresponds to 6% of the current market value of the shares. + +The set of actions A has two elements: $a_{1}$= investing in shares AND $a_{2}$= investing in bonds +The set or market circumstances N has three elements, namely: + $\theta_{1}$ = company profit ≤5 % + $\theta_{2}$= 5 % < company profit ≤ 10 % + $\theta_{3}$= company profit > 10 % + +Assume the inflation amounts to 2 %. The set of outcomes ω contains three possible outcomes for the shares: + $\omega_{1}$= return (0 % -2 %) = -2 % per annum + $\omega_{2}$= return (3 % -2 %) = 1 % per annum + $\omega_{3}$= return (6 % -2 %) = 4 % per annum + +Note that for the bonds the net outcome always yields $\omega_{2}$ =1% (i.e. 3% interest – 2% inflation). The outcomes can be illustrated using a decision tree (see {numref}`decision-tree-example`) or a table (see {numref}`ex_market_outcomes`). + +```{list-table} Outcomes given the decisions ($a_1$, $a_2$) and market conditions ($\theta_{1}$, $\theta_{2}$, $\theta_{3}$). +:header-rows: 1 +:name: ex_market_outcomes + +* - + - Market circumstances + - + - +* - Actions + - $\theta_{1}$ + - $\theta_{2}$ + - $\theta_{3}$ +* - $a_{1}$: buy shares + - $-$2 % + - 1 % + - 4 % +* - $a_{2}$: buy bonds + - 1 % + - 1 % + - 1 % +``` + +```{figure} ../figures/decision-tree-example.png +--- +height: 300px +name: decision-tree-example +--- +Decision tree for the example of buying shares ($a_{1}$) or bonds ($a_{2}$). +``` +The deterministic decision rules can be applied to this example. Minimax would result in investing in bonds ($a_{2}$), maximax would result in buying shares. +The optimal decision can be found by taking into account the probabilities of the market circumstances. These three circumstances are assumed to be exhaustive and mutually exclusive (i.e. outcomes cannot overlap and the sum of probabilities equals 1). The probabilities are estimated at $P(\theta_{1})$ = 0.2; $P(\theta_{2})$ = 0.3; $P(\theta_{3})$ = 0.5. These probabilities can now be included in the decision tree. The expected value of the return of the actions is as follows: + + Buying shares: 0.2(-2 %) + 0.3 (1 %) + 0.5 (4 %) = 1.9 %. + Buying bonds: 1% + +In this case the expected outcome is larger for buying shares than for buying bonds. So for a risk neutral decision maker buying shares (a1) would be the preferred action. Note that this action also includes a probability of 0.2 of a loss. This is also expressed by a higher standard deviation of the expected outcomes for buying shares. The above example can also be extended by applying different utility functions for various outcomes. + +```` + +In the previous example, the number of circumstances is limited and the probability distribution of the circumstances is discrete. For many decision problems this is not the case. The state of nature, for instance, can assume many values that cannot be made discrete. This, for example, would have been the case if the dividend in example 0 had been a percentage of the profit. In such cases a probability density function can be used to characterize the spectrum of outcomes. Using a continuous form of formula (3.5), the expected value of various actions, and the optimal action / decision can be identified. + +In taking decisions with uncertainties, it appears that probabilistic calculation techniques are a valuable aid to reach a rational choice. This is particularly the case if risks are dependent on the possible decisions. In such cases, Bayesian decision theory minimizes the total costs (i.e. investment costs plus risk in terms of potential losses). This can best be illustrated by means of an example from the civil engineering domain. + +````{admonition} Example: drainage of a construction site – decision tree + +In a river polder a basement has to be built in an excavated construction site. The construction site is made of sheet piling and the bottom is sealed off with a clay layer with a thickness of approximately 2.5 m. The thickness is not known exactly but measurements indicate that a normal distribution can be used with mean $\mu_d$= 2.5 m and a standard deviation of $\sigma_{d}$ = 0.2 m. + +The river cuts through the clay layer and the underlying sand layer is fed by the river, which causes high uplift pressures on the clay which is exposed in the excavation (see Figure {numref}`example-river-excavation`). If the pressure becomes too high the excavation base will push upward and water will enter the excavation in an uncontrolled way, damaging property and perhaps risking human life. + +```{figure} ../figures/example-river-excavation.png +--- +height: 300px +name: example-river-excavation +--- +Cross-section of excavation and river. +``` + +Measurements of the groundwater levels indicate the maximum upward pressure, $h$, under the sealing layer in the construction period has an a normal distribution with an expected value of $\mu_{h}$ = 4 m water column and a standard deviation of $\sigma_h=0.75 \mathrm{m}$ (see Figures {numref}`example-river-excavation-2`). Since $h$ is a hydraulic head (units of $[\mathrm{L}]$), pressure is calculated by multiplying the unit weight of water ($10\:\mathrm{kN/m^3}$). + +Failure occurs when the uplift pressure exceeds the weight of the clay layer, which can be described by a limit state function $Z = R - S$ with resistance $R$ and load $S$: + +$$ +Z=\rho_c\cdot d-\rho_w \cdot h +$$ +Where $\rho_c$ is the density of clay ($20\:\mathrm{kN/m^3}$), and is assumed here to be a deterministic value. The probability of failure is thus $P(Z<0)$, which for this situation can be found by calculating the mean and standard deviation of $Z$: + +$$ +\mu_Z=\rho_c \mu_d-\rho_w \mu_h=20(2.5)-10(4)= 10\:\mathrm{kN/m^2} +$$ + +$$ +\sigma_z=\sqrt{\rho_c^2 \sigma_c^2+\rho_w^2 \sigma_{\mathrm{h}}^2}=8.5\:\mathrm{kN/m}^2 +$$ +Since $Z$ also has the normal distribution, we find the failure probability: + +$$ +p_f=P(Z<0)=\Phi\left(-\mu_z / \sigma_z\right)=\Phi(-1.17)=0.12 +$$ + +```{figure} ../figures/example-river-excavation-2.png +--- +height: 300px +name: example-river-excavation-2 +--- +Cross-section of excavation near a river. Hashed area indicates the clay layer, which is underlain by sand. The water pressure is given by $h$ and is directly related to the river level (Figure {numref}`example-river-excavation`). +``` + +The effect of a drainage system in the construction site (see {numref}`example-river-excavation`) on the groundwater levels has been reviewed using groundwater flow calculations. It appears that it reduces the mean value of the maximum water levels to $\mu _{h}$ = 3.52m and the standard deviation remains the same. In this case the failure probability is reduced to 0.04. Such a drainage system costs €150,000. + +The flooding of the construction site will result in estimated damages of €5,000,000, and the designer of the construction site is faced with the choice whether drainage facility is a worthwhile investment. To provide insight, the decision problem is illustrated with a decision tree, but first the set of actions, circumstances and outcomes are defined: + +The set of actions A consists of: +- $\textit a_{1}$= excavation without drainage +- $\textit a_{2}$= excavation with drainage + +The set of circumstances N is formed by: +- $\theta_{1}$= the sealing layer remains intact +- $\theta_{2}$= the water pressure exceeds the weight of the sealing layer + +The set of outcomes $\Omega$ consists of: +- $\omega_{1}$ = nothing happens; loss = € 0 +- $\omega_{2}$ = the construction excavation is flooded: loss = €5,000,000 + +The previous analysis has shown that the probability of flooding of the excavation equals $p_{f}$ = 0.12 for a situation without drainage and $p_{fd}$ = 0.04 with drainage. + +Without drainage, the risk, defined as the expected value of the loss, is + +$$ +\textrm{risk, without drainage = }0.12 \cdot \euro{} 5,000,000 = \euro{} 600,000 +$$ +With drainage the risk is: + +$$ +\textrm{risk, with drainage = }0.04 · \euro{} 5,000,000 = \euro{} 200,000 +$$ +Costs and probabilities can also be shown in the decision tree (see Figure {numref}`example-river-excavation-3`). The expected values of the costs can be calculated for the different actions by adding the present values of the cost of actions and risk: +- $\textit a_{1}$ : expected value (additional) costs = risk =€ 600,000 +- $\textit a_{2}$ : expected value (additional) costs += extra costs + risk = € 150,000 + € 200,000 = € 350,000 + +This implies that the construction of the drainage system is rationally speaking the best decision for a risk neutral decision maker. + +```{figure} ../figures/example-river-excavation-3.PNG +--- +height: 300px +name: example-river-excavation-3 +--- +Decision tree with probabilities and costs. +``` +```` \ No newline at end of file diff --git a/book/risk-evaluation/econ-optimization.md b/book/risk-evaluation/econ-optimization.md new file mode 100644 index 0000000..9ffdfc8 --- /dev/null +++ b/book/risk-evaluation/econ-optimization.md @@ -0,0 +1,58 @@ +(econ_optimization)= +# Economic Optimization + +The previous sections have focussed on decisions for which the number of actions was limited, e.g. excavation with or without drainage and the associated costs and benefits. However, there are several situations in which the number of actions is unlimited. This occurs when the failure probability level has to be decided for a system that is yet to be designed, with an infinite number of design options. An example of this type of decision problem is the heightening of dikes, as in theory an unlimited amount of values can be chosen for the elevation, e.g. 2m, 5m, 5.1m, 5.11m, 5.1111m 6m etc. + +For this situation an economic optimization that takes into account the costs of increasing the safety level and reducing the risks can be applied to derive an optimal level of safety (or the optimal “failure probability”). The economic optimization was developed and applied by {cite:t}`vandantzig1956`, to derive the optimal dike height for South Holland after the 1953 storm surge disaster, as will be further elaborated in the next section. +In the economic optimization the total costs ($C_{tot}$[€]) are determined, consisting of the investments $I$[€] in a safer system and the present value of the risk $R$[€]. + +$$ + C_{tot} = I + R +$$ + +The annual risk, or expected economic dagmage is found by: + +$$ + E(D) = P_f D +$$ + +where: + +- $E(D)$ the expected value of the risk [€/year] +- $P_f$ the failure probablity of the system per year [1/year] +- $D$ the damage in case of failure [€] + +In this approach it is thus assumed that all damages are expressed in monetary terms. Additional criteria for separately considering the loss of human life are included in the next section. + +The present value of the risk for an infinite time horizon can be found as follows: + +$$ + R = \frac{P_f D}{r} +$$ + +The risk can be reduced by constructing a safer system (a lower $P_f$), or limiting the damage (smaller $D$). In this case we assume prevention measures that focus on reducing the failure probability. The investments will become a function of the failure probability of the system, since increasing the safety will lead to an increase of costs. + +$$ + I = I(P_f) +$$ + +{numref}`economic_optimum` shows the costs and risks as a function of the accepted failure probability of a system. The economic optimum is found when the total costs are minimal. + +```{figure} ../figures/economic_opt.svg +--- +width: 600 +name: economic_optimum +--- +Economic optimization: costs, risks and total costs as a function of the +failure probability of the system. +``` + +For this situation the following is valid: + +$$ + \frac{d C_{tot}}{d P_f} = 0 +$$ + +This approach can be applied to various decisions problems, such as the optimal dike height (see next section) but also the dimensioning of other interventions such as sprinklers or ventilation in tunnels to reduce fire risks. In cases where no continuous functions are available to create a curve as in {numref}`economic_optimum`, the analyst can consider a limited number of design options (e.g. no, small, medium or large sprinklers in a tunnel) and determine investments, risks and total costs for these options. + +In addition to the determination of the optimal failure probability, the cost benefit criterion should still be verified. (It is possible that we find an economic optimum with higher total costs than in the current situation without interventions). It is checked whether the benefits of risk reduction are larger than the costs of the dike heightening, i.e. $(P_{f,0} - P_{f,opt}) D > I$. \ No newline at end of file diff --git a/book/risk-evaluation/example-dike-height.md b/book/risk-evaluation/example-dike-height.md new file mode 100644 index 0000000..8aea567 --- /dev/null +++ b/book/risk-evaluation/example-dike-height.md @@ -0,0 +1,121 @@ +(ex-dike-height)= +# Optimization Example + +Economic optimization is illustrated through the determination of an optimial dike height to protect against flooding. + +Before the major floods of 1953, dikes in the Netherlands were not designed for a specified safety level but mainly strengthened based on practical experience. One of the main questions after the disaster was the optimal dike height and the “acceptable” probability of flooding. Van Dantzig was a professor in mathematics and a member of the first Delta committee. He developed an econometric approach to determine the optimal probability of flooding (or protection level) and the corresponding dike height {cite:p}`vandantzig1956`. + +## Probability and Risk + +The approach only considers failure of the dikes due to overtopping. The probability distribution of water levels along the Dutch coast can be approximated by an exponential distribution. + +$$ + F(h) = 1 - e^{(-\frac{h-A}{B})} +$$ (prob_dist_water_levels) + +In which: +- $h$ the water level [m] +- $A,B$ constants of the exponential ditribution [m] + +Neglecting wave run-up, the probability of failure of the dikes - leading to flooding - can be approximated by the probability of exceedance of the dike height $h_d$, i.e. + +$$ + P_f = P(h>h_d) = e^{(-\frac{h_d - A}{B})} +$$ (exceedence_dike_height) + +It is assumed that there is total damage to all objects and infrastructures in the flooded area if the dikes fail. For the discount rate Van Dantzig applied a reduced interest rate $r^\prime$ = economic growth – inflation. The net present value of the expected damages (i.e., the risk) is found as follows, assuming an infinite time horizon: + +$$ + R = \frac{P_fD}{r^\prime} = \frac{e^{-\frac{h_d-A}{B}}D}{r^\prime} +$$ (dike_height_risk) + +## Costs and Benefits + +As the risk is dependent on height, the dikes can be heightened further to limit the failure probability and thus risks. Investments in dike heightening are determined by initial costs for mobilization and variable costs that are dependent on the level of dike heightening (see also {numref}`dike_heightening_schematic`): + +$$ + I = I_0 + I(h_d - h0) +$$ (dike_investments) + +```{figure} ../figures/dike_heightening_schematic.png +--- +height: 200px +name: dike_heightening_schematic +--- +Schematic view of dike heightening +``` + +Now, the total costs $C_{tot}$ are the sum of the investment costs and the risk. + +$$ + C_{tot} = I_0 + I(h_d - h_0) + \frac{e^{-\frac{h_d-A}{B}}D}{r^\prime} +$$ (total_costs) + +The optimal dike height is found when the total costs are minimal. This is the case when $dC_{tot}/dh_d=0$. + +$$ + \frac{dC_{tot}}{dh_d} = I - \frac{e^{-\frac{h_d-A}{B}}D}{Br^\prime} = 0 +$$ (optimal_dike_costs) + +Since the $P_f = e^{-(h_d-A)/B}$, we can find the optimal flooding probability $P_{f,opt}$: + +$$ + P_{f,opt} = \frac{IBr^\prime}{D} +$$ (optimal_flooding_prob) + +The larger the damage $D$, the smaller the optimal failure probability and thus the higher the level of protection. If incremental protection is expensive – i.e. for high values of $I$ – a higher optimal failure probability and thus a lower level of optimal safety will be found. The optimal failure probability is also dependent on the discount rate. Combination with {eq}`exceedence_dike_height` gives the optimal dike height $h_{d,opt}$: + +$$ + h_{d,opt} = A - B \cdot \ln(P_{f,opt}) +$$ (optimal_dike_height) + +## Verification + +In addition to the determination of the optimal dike height the cost benefit criterion should still be verified by checking whether the benefits of risk reduction are larger than the costs of dike heightening. + +$$ + I(h_{d,opt})<\frac{(P_{f,0} - P_{f,opt})D}{r^\prime} +$$ (risk_reduction_check) + +Where $P_{f,0}$ the flooding probability in the initial situation. It can be easily shown that this is equivalent to a check of whether the total costs in the optimal situation are smaller than those in the original situation. The first Delta committee used the following values for South Holland: + +- $D$ = fl 24.2$\cdot 10^9$ [unit is Dutch guilders] +- $r^\prime$ = 0.015 +- $I$ = 40.1$\cdot 10^6$ fl/m +- $A$ = 1.96 m +- $B$ = 0.33 m +- $h_0$ = 3.25 m +- $I_0$ = fl 110$\cdot 10^6$ + +Using these values, the following optimal dike height and optimal failure probability were derived: + +- $h_{d,opt}$ = 5.83 m +- $P_{f,opt}$ = $8 \cdot 10^{-6}$ per year + +## Discussion + +Although the optimal safety level was determined at a failure probability of $P_{f,opt}$ = 1/125,000 per year, in later political discussions a value of 1/10,000 per year was selected for the probability of exceedance of design water levels. This implied that the dikes of South Holland would need to be designed for hydraulic conditions (water levels and waves) with a probability of exceedance of---on average---1/10,000 per year. In later decision-making, safety standards were derived for other dike rings (see {numref}`dike_rings`), for example, flood defenses in the river system are designed for a safety standard of 1/1250 per year. + +```{figure} ../figures/dike_rings.jpg +--- +width: 400px +name: dike_rings +--- +Dike Rings in the Netherlands, showing probability of exceedance of the design water levels per dike ring. Note that dike rings along the River Meuse are not shown on this map. Most of these dike rings have a safety standard of 1/250 per year. This map defined design levels until the safety standards changed in 2017. +``` + +It was expected that the actual failure probability for dikes designed for this design load, would be smaller than 1/10,000 per year. Recent risk analysis in the project VNK have shown that this is not the case due to the geotechnical failure mechanisms. For most dike rings the estimated failure probabilities are larger than the probability of exceeding the design loads. For example, for riverine dike rings that have been designed for design levels with a probability of exceedance of 1/1250 per year, failure probabilities are often in the order of magnitude of 1/100 per year {cite:p}`vnk2014`. This is part of the reason for revising the safety standards and flood defence assessment criteria in the Netherlands, which since 2017 is based on an allowable probability of flooding rather than a load-based exceedance probability approach. + +Historic discussions and developments in the Netherlands illustrate how the risk analaysis and risk management for a given system can change over time. Several extensions and additions to the van Dantzig model have been proposed over the years. For example, the inclusion of sea level rise {cite:p}`vrijling1990`, modelling of the damage as dependent on the water depth in the polder {cite:p}`vandantzig1956`, the inclusion of the economic value of loss of life as part of the damage, and inclusion of risk aversion by giving quadratic weight to the damages {cite:p}`vangelder1997`. + +The model by van Dantzig was primarily focused on finding what the optimal safety at that time (when van Dantzig published his model in the 1960’s) should have been. However, a single optimal level is not always the best solution. While considering longer timescales and changing conditions, such as economic growth and sea level rise, the model needs to address the possibility of multiple interventions during the period considered. This leads to questions regarding the timing of interventions (when? At which intervals?), as well as the optimal strengthening or raising of the dikes (how much?). {cite:t}`Eijgenraam2006` developed an economic decision model that takes into account both questions. + +{numref}`periodic_investments` below depicts the “saw-tooth” curve that shows the periodic interventions: both the extent of the intervention (vertical) as well as the timing between interventions (horizontal). In between interventions, the safety will gradually decrease due to sea level rise and / or subsidence of the dike. Over a longer period of time, the dike heightening (or strengthening) should follow sea level rise. Additional dike heightening (lower the failure probability even further) could be considered in case of economic growth, which will lead to an increase of damages and increase of protection standards. The length of the optimal interval between interventions is largely dependent on the initial or mobilization costs. If these are high, for example in the case of structural interventions such as storm surge barriers, a long interval or life time of almost 100 years can be chosen. For regular dike reinforcements this interval will be more in the range of several decades (e.g. 50 years). For interventions with no or very small initial costs, such as nourishments along the coast, it is optimal to intervene more frequently. + +```{figure} ../figures/periodic_investments.png +--- +width: 400px +name: periodic_investments +--- +Periodic investments in dike reinforcement for a situation with sea level rise. +``` \ No newline at end of file diff --git a/book/risk-evaluation/overview.md b/book/risk-evaluation/overview.md new file mode 100644 index 0000000..372b495 --- /dev/null +++ b/book/risk-evaluation/overview.md @@ -0,0 +1,8 @@ +(risk_eval)= +# Risk Evaluation + +This chapter focuses on the evaluation of risk (Step 4) by applying several different techniques. While the Sections may seem long, the methods are relatively simple and a lot of examples and explanations are provided to illustrate how they can be applied in practice. After this chapter, you will be ready to try all of the practice problems in the Exercise Chapter. + +--- + +_The primary author for this chapter is Bas Jonkman. Robert Lanzafame contributed through rearrangement of the topics and formatting._ \ No newline at end of file diff --git a/book/risk-evaluation/safety-standards.md b/book/risk-evaluation/safety-standards.md new file mode 100644 index 0000000..312d6d0 --- /dev/null +++ b/book/risk-evaluation/safety-standards.md @@ -0,0 +1,371 @@ +(safety_standards)= +# Safety Standards + +When answering the question “how safe is safe enough” a merely economic treatment with cost benefit analysis or economic optimization is often not sufficient for activities with risks to people. Therefore, criteria have been developed that focus on risks to human life. This section focuses on safety standards and criteria for evaluating the risk to life. + +Two aspects are typically considered when evaluating and regulating risks to the public: the total or population-wide effects, and the distribution of effects within the affected population. {numref}`risk_evaluation` summarizes these perspectives. The societal perspective is concerned with ‘total effect’ and the effects of large-scale accidents on the society, in terms of economic damages and life loss. The individual perspective is concerned with distributive justice (‘equity’), i.e. the distribution of harm over the population. + +As risk is often the by-product of an otherwise legitimate and advantageous activity, such as production or transportation, regulating risks is essentially a balancing act between economic and social activities on the hand and a sufficiently safe society on the other hand (e.g. {cite:t}`jongejan2008`): just as too lenient regulations are suboptimal, too stringent ones are too. + +```{list-table} Overview of perspectives on risk evaluation +:header-rows: 1 +:name: risk_evaluation + +* - Aspect + - Relevant risk metric + - Rationale +* - Equity ('distributive justice') + - Individual risk + - Regulation is to prevent that individuals are exposed to disproportionally large risks +* - Total effect + - Societal and economic risk + - Regulation is to limit large-scale accidents and optimize the costs and benefits of risk reduction +``` + +## Three Types of Risk + +Based on the general concepts described above, it has been proposed to evaluate risks based on three criteria {cite:p}`TAW1985,vrijling1995,vrijling1998`: +- limit the **invidual risk** to prevent that certain people are exposed to disproportionally large risks; +- limit the **societal risk** to limit the risks of large scale accidents with many fatalities; +- **Economic optimization** to balance investments in risk reduction from an economic point of view. + +### Societal and Economic Risk + +Two of these criteria have already been discussed elsewhere in this book. **Societal risk** refers to the probability of an accident with multiple fatalities and is often graphically represented by an FN-curve ({ref}`risk_curve` Section). **Economic optimization** has already been discussed in the {ref}`econ_optimization` Section. + +### Individual Risk + +**Individual risk** concerns the probability of death of a person due to an accident. Various related definitions exist. The “average individual risk” for a certain activity can be calculated, e.g. the individual risk due to smoking or the risk of an airplane crash for a frequent flyer. {numref}`death_probability` compares the probability of various types of fatal accidents. + +```{list-table} Average probability of death due to several activities. (statistics based on various sources for the Netherlands and Europe) +:header-rows: 1 +:name: death_probability + +* - Activity + - Probability (per year) +* - Mountain climbing + - $10^{-2}$ +* - Traffic (young men) + - $10^{-4}$ +* - Accidents at home + - $10^{-4}$ +* - Structural failures + - $10^{-7}$ +``` + +The individual risk due to an accident can be calculated with: + +$$ + IR = P_f P_{d|f} +$$ + +where: +- $IR$ the individual risk [1/year] +- $P_{f}$ the probability of an accident [1/year] +- $P_{d|f}$ the conditional probability of death given an accident + +Both the individual risk and $P_{d|f}$ can be formulated as a function of a location near a risk source. If it is assumed that a person is permanently present at that location, the individual risk becomes a property of that location and it can be used for zoning and land use planning. This is applied in the industrial safety policy in the Netherlands (see next section). + +```{admonition} Example: Difference between individual and societal risk. +To illustrate the difference between the individual and societal perspective, consider a fairly safe car that has a probability of 10$^{-5}$ per year of causing a fatality due to technical failure. This may well be acceptable to an individual. Such a probability is in the same range as the average death rate in traffic (650 fatalities / 17 million people which is about 4.10$^{-5}$ per year). If only 1000 cars are sold in the Netherlands, the number of fatal accidents with this car is rare, i.e. 0.01 fatalities per year. However, when the car becomes popular and 10 million cars are sold, the average number of fatalities due to technical failure becomes 100 per year. This may well lead to public concerns and indignation. From a societal point of view this may no longer be acceptable, whereas the individual risk has not changed. +``` + +## Limits for Individual and Societal Risk + +Safety standards can be used to set limits to the individual and societal risk. A **limit** value can be set for **individual risks**. Such a limit value is to avoid disproportionate exposures by laying down a minimum safety level for all individuals. In various fields of applications limit values in the range of 10$^{-4}$ to 10$^{-6}$ per year are used (see below for more information). To put the stringency of the individual risk criteria into perspective, one could consider the effect of the probability of an accident on life expectancy. When an average person would be constantly exposed to a maximum allowable level of risk of 10-6 per year, the decrease of his or her life expectancy would be only 1 day as shown in {numref}`individual-risk-life-expectancy`. + +```{list-table} Relationship between the additional risk and life expectancy +:header-rows: 1 +:name: individual-risk-life-expectancy + +* - Additional probability of death in a year + - Life expectancy in years + - Decrease of life expectancy in years + - Decrease of life expectancy in days +* - $10^{-3}$ + - 74.97 + - 3.16 + - 1153 +* - $10^{-4}$ + - 77.81 + - 0.32 + - 117 +* - $10^{-5}$ + - 78.10 + - 0.03 + - 11 +* - $10^{-6}$ + - 78.13 + - 0.00 + - 1 +* - $10^{-7}$ + - 78.13 + - 0.00 + - 0 +``` + +Societal risk can be evaluated by means of an FN limit line. The calculated FN curve of the system should, in principle, not exceed the limit line. An FN-criterion is defined by three variables: + +1. A base point: the exceedance probability of 1 fatality (i.e. $C$), +2. A slope, $\alpha$, and +3. Probability and/or consequence cut-offs ($A$ and $B$). + +{numref}`limit_line` schematically illustrates the different criterion that could make up an FN limit line. + +```{figure} ../figures/fn_limit00.svg +--- +height: 600px +name: limit_line +--- +Schematic FN curve illustrating limit line formulation with horizontal and vertical cut-offs. +``` + +The general formulation for such a limit line without horizontal of vertical cut-off equals: + +$$ + 1 - F_N(n) \leq \frac{C}{n^\alpha} +$$ (limit_line) + +where: +- $C$ a constant that determines the vertical position of the limit line +- $\alpha$ a coefficient that determines the steepness of the limit line + +The limit line is called *risk neutral*[^neutral] if $\alpha=1$, since it places equal weight on exceedance probabilities and numbers of fatalities. If $\alpha = 2$, the limit is *risk averse.* This means that given an arbitrary point, the exceedance probability of 10 times as many fatalities should be 100 times lower. This has been motivated by public aversion to large numbers of fatalities. For example, the loss of 1000 people in one accident (e.g. a major explosion) could be valued differently than 1000 losses of 1 person in separate accidents (e.g. in traffic). + +For different applications limit lines have been developed with varying constants and steepness. Examples of application areas include industrial risks in the Netherlands (next section), dams in the United States and Canada, and chemical risks in Hongkong and the UK {cite:p}`jonkman2003`. + + +````{admonition} Exaple: Risk Matrix +Risk matrices are often used in various industries for risk evaluation and decision support, for example, to quickly prioritize actions, especially in time-sensitive situations. For a given undesired event the extent of probability and consequences are estimated on a qualitative or semi-quantitative scale, see {numref}`risk_matrix` for an example. Ranges of failure probabilities or consequences can be assigned to the qualitative terms on the axes in the example. The combination of probability and consequence determines the level of risk, and depending on the application, whether it is acceptable or whether it requires more attention and risk reduction efforts. However, unlike the FN curve, the cumulative effects of multiple possible events are generally not considered in a risk matrix. + +```{figure} ../figures/risk_matrix.png +--- +width: 500px +name: risk_matrix +--- +Example of a risk matrix used by various engineering and military branches of the United States Army Corps of Engineers. Source: [this USACE document](https://home.army.mil/lee/application/files/7815/3809/1878/Tables.pdf) (opens a PDF); general explanation can be found via Engineering Manual EM-385-1-1 {cite:p}`usace14`, or online at USACE [Risk Management Center](https://www.rmc.usace.army.mil/) or [Risk Analysis Gateway](https://www.iwr.usace.army.mil/Missions/Risk-Analysis-Gateway/Risk-Assessment/). +% Note: real source is a PDF [here](https://home.army.mil/lee/application/files/7815/3809/1878/Tables.pdf) +% Formal definition is in this: Manual EM 385-1-1 https://www.publications.usace.army.mil/portals/76/publications/engineermanuals/em_385-1-1.pdf +``` +```` + + + +## Case Study: Industrial Hazards + +The Dutch major hazards policy deals with the risks to those living in the vicinity of major industrial hazards such as chemical plants and LPG-fuelling stations. The development of the Dutch major hazards policy was strongly incident driven, as were European efforts aimed at the prevention of major industrial accidents. After a number of severe industrial accidents, including the Bhopal accident in 1984 which killed an estimated 3000 people and severely injured over 200.000, a European directive was drafted concerning the prevention of major accidents: the 1982 Seveso Directive. This was later replaced by the Seveso II Directive. +The cornerstones of the Dutch major hazards policy are a) the use of quantitative risk analysis (QRA); b) comparison of QRA outcomes with limits to individual and societal risks {cite:p}`bottelberghs2000`. + +Within the Dutch major hazards policy, individual risk is defined as the probability of death of an average, unprotected person that is constantly present at a certain location. It is thereby a property of location and iso-risk contours can be plotted on a map (see {numref}`risk_contour`). Individual risk is therefore also named local risk (“plaatsgebonden risico”) in the Netherlands. The shape of the risk contours for other applications will look different. For airports the contours will follow the shape of the runway and flight paths, for polders and flooding the risk contours will be highest in the deepest part of the polder. + +```{figure} ../figures/risk_contour.png +--- +height: 400px +name: risk_contour +--- +Example of a schematic individual risk contour (circles) for a chemical installation. +``` + +```{list-table} Individual risk criteria used in the Netherlands. +:header-rows: 1 +:name: individual-risk-criteria + +* - + - + - Individual (or local) risk criterion +* - **Existing situations** + - Vulnerable + - $10^{-6}$ per year +* - + - Limitedly vulnerable + - $10^{-5}$ per year, strive for $10^{-6}$ per year +* - **New situations** + - Vulnerable + - $10^{-6}$ per year +* - + - Limitedly Vulnerable + - $10^{-6}$ per year +``` + +A distinction is made between vulnerable objects such as schools and houses and limitedly vulnerable objects such as small offices. The following criteria apply. For new situations a limit of $10^{-6}$ per year applies. A comparison with {numref}`individual-risk-criteria` shows that this individual risk value has a negligible effect on life expectancy. + +The criterion for societal risk that is used in the Netherlands for evaluating the third party risks posed by major industrial hazards is shown in {numref}`fn_limit` below. It serves as a reference in the broader assessment of third party risks by competent authorities. Exceedances of the criterion line also have to be motivated by competent authorities. When the criterion line is not exceeded, the acceptability of the third party risk still has to be motivated. The limit line is characterized by $C=10^{-3}$ and a steepness of $\alpha = 2$, making it a risk averse criterion. The criterion is used to assess the acceptability of the risks of individual facilities. + +```{figure} ../figures/fn_limit01.svg +--- +width: 600 +name: fn_limit +--- +FN limit line used for installations in the Netherlands, with hypothetical risk curve. +``` + +## Case Study: Flood Protection + +For systems for which no regulations are available the question 'how safe is safe enough?' can be difficult to resolve. A general model has been developed by the Technical Advice Committee for Water defences (TAW)[^taw] in the process of deriving safety standards for flood protection in the Netherlands, which, in a formal sense, has been an ongoing process since the 1950's. This approach is derived on the basis of accident statistics {cite:p}`TAW1985,vrijling1995,vrijling1998`, where underlying assumption of the model is that accident statistics are the result of a process of societal optimisation and that they thereby reflect what is apparently considered acceptable by society at large. Such an approach is commonly referred to as a 'revealed preference' approach, and was already introduced in a a general sense in the Chapter on Risk Analysis, Section {ref}`risk_curve_famous` ({numref}`risk-curve-baecher`). + +### Individual risk + +Accident statistics reveal that the extent to which participation in the activity is voluntary strongly influences the level of risk that is accepted by individuals. Relatively high individual risks are accepted for activities that are voluntary and have a (personal) benefit, such as mountain climbing. Much smaller individual risk values are accepted for involuntary activities for which the risks are imposed by others, e.g. for chemical and nuclear industry. A policy factor ($\beta$) is therefore introduced to account for voluntariness of exposure. This factor is set at $\beta=1$ for an individual risk value of $10^{-4}$ per year. This represents the “baseline” individual risk for the group young men[^men] who are most at risk of dying in a traffic accident. + + +:::{list-table} Accident statistics and proposed policy factor and characteristics of the activity {cite:p}`CUR1997,vrijling1998,vrijling2001`. +:header-rows: 1 +:name: accident_statistics + +* - Prob. of death(per year) + - Exmaple/application + - $\beta$ + - Voluntariness + - Benefit +* - $10^{-2}$ + - Mountain climbing + - 100 + - Voluntary + - Direct benefit +* - $10^{-3}$ + - Driving a motor cycle + - 10 + - Voluntary + - Direct benefit +* - $10^{-4}$ + - Driving a car + - 1 + - Neutral + - Direct benefit +* - $10^{-5}$ + - Flooding + - 0.1 + - Involuntary + - Some benefit +* - $10^{-6}$ + - Factory/LPG station + - 0.01 + - Involuntary + - No benefit +::: + +The proposed individual risk limit becomes: + +$$ + IR < \beta \cdot 10^{-4} +$$ (individual_risk) + +An appropriate value for the policy factor $\beta$ can be chosen depending on the characteristics of the activity. If the conditional probability of death due to an accident $P(d|f)$ is known, the acceptable failure probability can be computed: + +$$ + P_f \leq \frac{\beta \cdot 10^{-4}}{P_{d|f}} +$$ (acceptable_failure_prob) + +Note that the Dutch individual risk criterion for hazardous installations would be obtained for $\beta = 0.01$ and a conditional probability of death of 1 ($P_{d|f} = 1$). + +### Societal risk + +The societal risk criterion proposed by the TAW is based on the thought that societal risk should be evaluated primarily at a national level as local developments may lead to a situation that is considered unacceptable by society as a whole {cite:p}`vrijling1995`. The societal risk criterion at a national scale proposed by the TAW is: + +$$ + E(N) + k \sigma(N) \leq \beta \cdot 100 +$$ (societal_risk_criterion) + +where: + +- $E(N)$ the expected number of fatalities per year +- $k$ the risk aversion index (proposed value, $k=3$) +- $\sigma(N)$ the standard deviation of the number of fatalities per year +- $\beta$ the policy factor + +A risk aversion index $k$ has been introduced to account for risk aversion. For accidents with small probabilities and large consequences the standard deviation $\sigma(N)$ is large relative to $E(N)$, see example below. The total risk takes a risk aversion index $k$ [-] into account. For $k>1$, the “cost of risk bearing” exceed expected loss, implying a risk averse attitude. + +````{admonition} Expected value and standard deviation for two systems + +We consider two sytems + +1. This sytem has a high failure probability of 0.01 per year and 1 fatality +2. The second system has a smaller failure probability of 0.0001 per year but a higher number of 100 fatalities. + +For both systems a binomical distribution of the number of fatalities is applied meaning that the number of fatalities in case of failure is exactly known. The expected value and standard deviation of the number of fatalities are found as follows: + +$$ + E(N) = P_fN \;\;\;\; \sigma^2(N) = P_f(1-P_f)N +$$ (binomial_moments) + +The resulting expected value and standard deviation are shown in {numref}`exp_val_std_dev_two_activities` below. Although both systems have the same expected value, the standard deviation for the “small probability – large consequence” event for system 2 is higher. Taking into account the standard deviation in the TAW criterion thus accounts for risk aversion against accidents with large numbers of fatalities. + +```{list-table} Calculation of expected value and standard deviation for two activities. +:header-rows: 1 +:name: exp_val_std_dev_two_activities + +* - + - $P_f$ + - $N$ + - $E(N)$ + - $\sigma(N)$ +* - 1 + - $10^{-2}$ + - 1 + - $10^{-2}$ + - 0.0099 +* - 2 + - $10^{-4}$ + - 100 + - $10^{-2}$ + - 0.995 +``` + +The next step would be to distribute this maximum allowable level of societal risk over individual installations. After all, locally imposed societal risk criteria are necessary for achieving the desired national level of societal risk. The translation of the nationally acceptable level of risk to a criterion for a single local installation depends on the type of probability distribution of the number of fatalities. In {cite:t}`vrijling1998` a formulation of the risk acceptance at a local level is presented conform {eq}`limit_line`:️ + +$$ + 1 - F_n(n) \leq \frac{C}{n^\alpha} +$$ + +For a binomial distribution this yields: + +$$ + C = \left( \frac{\beta \cdot 100}{k \sqrt{N_a}} \right)^2 +$$ + +in which $N_a$ is the number of independent locations where the activity takes place. This requirement corresponds to the requirement set for the chemical installations if $\beta=0.03$, $N_a=1000$ and $k=3$. +```` + +### Combination of Risk Types + +According to the approach by TAW the three approaches (individual, societal and economic risk) lead to three acceptable failure probabilities. The most stringent of the three criteria can be chosen to determine the acceptable probability of failure of the system and to make sure that all three conditions are fulfilled. This can best be illustrated with an example (see below). The principles of this approach have been applied to derive the proposed new safety standards for flood defences in the Netherland by the {cite:t}`delta2014`. + +````{admonition} Example: Combination of individual, societal and economic risk for a dike ring area + +We consider application of the three criteria to the case of dike rings in the Netherlands. There are about 100 dike rings in the Netherlands of different sizes. A dike ring is a flood prone area protected from flooding by flood defences and high grounds. The conditional probability of death given flooding depends on the depth of the polder and flood characteristics. Research on loss of life due to floods shows that a conservative estimate would lead to $P_{d|f} = 0.1$. + +First, we consider the individual risk. A value of $\beta = 0.1$ is proposed as being exposed is considered as an involuntary activity with some benefit (i.e. living in a prosperous delta). This leads to an acceptable individual risk value of $10^{-5}$ per year. This limit has also been proposed by the Dutch government in the year 2014 (“basisveiligheid”). The acceptable flooding probability according to the individual risk becomes: + +$$ + P_f \leq \frac{\beta \cdot 10^{-4}}{P_{d|f}} = \frac{0.1 \cdot 10^{-4}}{0.1} = 10^{-4}\text{ per year} +$$ (acceptable_flooding_probability) + +The societal risk criterion can be determined according to {eq}`limit_line`. Assuming a risk averse criterion $\alpha=2$. We can determine the constant $C$ of the limit line for $N_a = 100$ installations and $\beta=0.1$. + +$$ + C = \left( \frac{\beta \cdot 100}{k \sqrt{N_a}} \right)^2 = \left( \frac{0.1 \cdot 1000}{3 \sqrt{100}} \right)^2 = 0.11 +$$ + +The limit line for societal risk becomes $1 - F_N(n) \leq 0.11/n^2$. Both the individual and societal risk criteria are plotted in below. As a third criterion the economic optimization can be added. The optimal or acceptable probability of failure depends on the damage and investment costs. A relationship with the graph below can be established by assuming that the number of fatalities is related to the economic damages. A dike ring with many inhabitants and potential fatalities will generally also represent a large economic value. For the sake of the example we assume that every fatality corresponds to an economic damage of €$5 \cdot 10^7$ (note: this is not equal to the value of a human life). To calculate the economic optimum for the example we assume arbitrary values of $r=0.025$ and €$5 \cdot 10^6$ $B=0.33$. {numref}`combined_risk_criteria` below shows the combination for the three criteria. + +For a given number of fatalities in a dike ring the acceptable failure probability according to the three criteria can be derived. The individual risk criterion is independent on the number of fatalities. The economic criterion shows a linear relation between the failure probability and damage or number of fatalities. The societal criterion is risk averse so shows a decreasing quadratic relationship between acceptable failure probability and consequences. + +For a given number of inhabitants and potential fatalities for a dike ring, the acceptable failure probability can be determined. For dike rings with between 1 and 10 fatalities – generally small areas-the individual risk criterion is the most stringent. For dike rings with large numbers of fatalities, the risk averse societal risk criterion becomes dominant. + +Several extensions of this model are possible. One can consider to add the economic value of life loss or consider a different distribution of the nationally acceptable societal risk over dike rings with different sizes. + +```{figure} ../figures/risk_types.svg +--- +width: 600 +name: combined_risk_criteria +--- +Combination of individual, societal and economic risk criteria for a +hypothetical example. +``` +```` + +One field of application where these concepts have been applied concerns the flood protection standards in the Netherlands. Since 2017 new safety standards have been in place for primary flood defences in the Netherlands that have been derived based on a risk assessment, with standards been formulated as a (tolerable) probability of failure of the flood defences. + +[^neutral]: It should be noted that the usage of the term “risk neutral” to describe the FN-curve limit line for $\alpha = 1$ is widespread but, strictly speaking, incorrect in the context of decision theory (see {ref}`decision` Section). This is because the cost of risk bearing to a risk neutral decision maker equals expected loss (i.e. the product of probabilities and damages). The FN-curve shows cumulative probabilities, however. Also, an individual crossing of the limit line would not necessarily disturb a risk neutral decision maker, provided the other accident scenarios have relatively small probabilities. +[^taw]: TAW is nowadays called ENW: Extertise Network on Flood Protection. +[^men]: The group 'young men' is used as a baseline because this was the only information available at the time the study was completed. \ No newline at end of file diff --git a/figures/cover.ipynb b/figures/cover.ipynb new file mode 100644 index 0000000..bb44b64 --- /dev/null +++ b/figures/cover.ipynb @@ -0,0 +1,341 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "a4d8be0c", + "metadata": {}, + "source": [ + "Took code from Week 1.8 Project and axle data. helper and solution file are included here, but I did not clean out the unnecessary code. bivariate plotting function included here but other aspects (marginal, copula) are still included in `helper.py`. `solution.py` is not needed, but the model definition code uses a dictionary that is set up there. \n", + "\n", + "Not sure why the figure in this notebook is not rendered with transparent background, but the svg is transparent, so i ignored it.\n", + "\n", + "`pyvinecopulib` was added to virtual env using pip without any issue. not included in requirements file to avoid build issues on the server." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "7eeb37e0-aca0-4759-866f-f5ad09ea8d0b", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import scipy.stats as st\n", + "\n", + "from helper import plot_contour\n", + "from helper import Bivariate\n", + "from solution import *\n", + "\n", + "from matplotlib import rcParams\n", + "rcParams.update({'font.size': 16})\n", + "# TUDelft colors palette\n", + "colors = [\"#0C2340\",\"#00B8C8\",\"#0076C2\",\"#6F1D77\",\"#EF60A3\",\"#A50034\",\"#E03C31\",\"#EC6842\",\"#FFB81C\",\"#6CC24A\",\"#009B77\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "2152bd99-12cb-44a2-afee-7b36fb4b4780", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Length of the dataset: 992\n", + "Mean and standard deviation: (38.216, 10.020).\n", + "Mean and standard deviation: (55.941, 18.914).\n" + ] + } + ], + "source": [ + "X1 = univariate_RV_dict(\"Heaviest axle\", \"$AX_{max}$\", \"kN\")\n", + "X2 = univariate_RV_dict(\"Lightest Axle\", \"$AX_{min}$\", \"kN\")\n", + "X1[\"data\"], X2[\"data\"] = np.genfromtxt('./data_axle.csv',\n", + " delimiter=\",\", unpack = True)\n", + "\n", + "print(f'Length of the dataset: {X1[\"data\"].size}')\n", + "print(f'Mean and standard deviation:',\n", + " f'({X1[\"data\"].mean():.3f}, {X1[\"data\"].std():.3f}).')\n", + "print(f'Mean and standard deviation:',\n", + " f'({X2[\"data\"].mean():.3f}, {X2[\"data\"].std():.3f}).')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "2ccfbc68-6705-4adf-83f8-9ebff6c1015d", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "dist_parameters = st.lognorm.fit(X1[\"data\"], floc = 0)\n", + "dist_object = st.lognorm(*dist_parameters)\n", + "X1[\"LN\"] = univariate_model_dict(\"Lognormal\",\n", + " dist_parameters, dist_object)\n", + "\n", + "dist_parameters = st.gumbel_r.fit(X1[\"data\"])\n", + "dist_object = st.gumbel_r(*dist_parameters)\n", + "X1[\"Gum\"] = univariate_model_dict(\"Gumbel (right)\",\n", + " dist_parameters, dist_object)\n", + "\n", + "dist_parameters = st.lognorm.fit(X2[\"data\"], floc = 0)\n", + "dist_object = st.lognorm(*dist_parameters)\n", + "X2[\"LN\"] = univariate_model_dict(\"Lognormal\",\n", + " dist_parameters, dist_object)\n", + "\n", + "dist_parameters = st.gumbel_r.fit(X2[\"data\"])\n", + "dist_object = st.gumbel_r(*dist_parameters)\n", + "X2[\"Gum\"] = univariate_model_dict(\"Gumbel (right)\",\n", + " dist_parameters, dist_object)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "8f6a77dd-71c1-49e0-9e30-28269efc6d98", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 600x600 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# -----------------------------------------------------------------\n", + "plot_title = \"\"\n", + "font = \"Arial\"\n", + "x_label = \"Random Variable $X_1$\"\n", + "y_label = \"Random Variable $X_2$\"\n", + "legend = False\n", + "grid = False\n", + "save_svg = True\n", + "remove_ticks = False\n", + "remove_ticks_labels = True\n", + "file_name = \"../book/figures/cover_bi\"\n", + "# -----------------------------------------------------------------\n", + "\n", + "M2 = bivariate_model_dict(\"Model 2\", \"Gum\", X1, \"Gum\", X2, 0.54)\n", + "\n", + "M = M2\n", + "\n", + "rvs_temp = M[\"X1X2\"].rvs(1000).T\n", + "\n", + "import matplotlib.cm as cm\n", + "def plot_contour(bivar, xy_lim, data=None,\n", + " design_case=None, design_region=None,\n", + " nb_points=100):\n", + " \n", + " f = plt.figure(figsize=(6,6))\n", + " ax = f.add_subplot() # axes_class=AxesZero)\n", + " plt.setp(ax.spines.values(), linewidth=2)\n", + "\n", + " xlim = [xy_lim[0], xy_lim[1]]\n", + " ylim = [xy_lim[2], xy_lim[3]]\n", + "\n", + " x = np.linspace(xlim[0], xlim[1], nb_points)\n", + " y = np.linspace(ylim[0], ylim[1], nb_points)\n", + " X,Y = np.meshgrid(x,y)\n", + " pdf = np.zeros(X.shape)\n", + " for i in range(X.shape[0]):\n", + " for j in range(X.shape[1]):\n", + " # if X[i,j]>0 and Y[i,j]>0:\n", + " pdf[i,j] = bivar.pdf([X[i,j], Y[i,j]])\n", + " \n", + " ax.contour(X, Y, pdf, levels=8, cmap=cm.winter)\n", + " \n", + " if isinstance(data, np.ndarray):\n", + " ax.scatter(data[0,:], data[1,:], s=10.0,\n", + " facecolors='none', edgecolors='dimgray',\n", + " label='Data')\n", + " \n", + " if isinstance(design_region, np.ndarray):\n", + " ax.plot(design_region[0,:], design_region[1,:],\n", + " label='Design Boundary', color='k')\n", + " ax.fill_between(design_region[0,:], design_region[1,:],\n", + " ylim[1], label='Design Region', color='grey')\n", + " \n", + " if design_case:\n", + " ax.plot(design_case[0], design_case[1], 'ro',\n", + " label='Design Case')\n", + " \n", + " ax.set_aspect(\"equal\")\n", + " ax.set_xlim(xlim)\n", + " ax.set_ylim(ylim)\n", + " # ax.set_xlabel(r\"$X_1$\", fontsize=14)\n", + " # ax.set_ylabel(r\"$X_2$\", fontsize=14)\n", + " if isinstance(design_region, np.ndarray) or design_case:\n", + " ax.legend()\n", + " return f, ax \n", + "\n", + "fig, ax = plot_contour(M[\"X1X2\"], [0, 150, 0, 150],\n", + " data=rvs_temp, nb_points=100)\n", + "\n", + "ax.set_xlabel(x_label, fontfamily=font)\n", + "ax.set_ylabel(y_label, fontfamily=font)\n", + "\n", + "fig.patch.set_alpha(0.)\n", + "ax.patch.set_alpha(0.)\n", + "\n", + "if grid: ax.grid()\n", + "if legend: ax.legend(prop={\"family\":font})\n", + "if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n", + "if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n", + "if save_svg: plt.savefig(file_name + '.svg', bbox_inches=0, transparent=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 600x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# -----------------------------------------------------------------\n", + "plot_title = \"\"\n", + "font = \"Arial\"\n", + "x_label = \"Consequences\"\n", + "y_label = \"Probability\"\n", + "legend = False\n", + "grid = False\n", + "save_svg = True\n", + "remove_ticks = True\n", + "remove_ticks_labels = True\n", + "file_name = \"../book/figures/cover_fn\"\n", + "# -----------------------------------------------------------------\n", + "\n", + "fig2 = plt.figure(figsize=(6,6))\n", + "ax2 = fig2.add_subplot() # axes_class=AxesZero)\n", + "ax2.set_title(plot_title, fontfamily=font)\n", + "\n", + "\n", + "plt.setp(ax2.spines.values(), linewidth=2)\n", + "\n", + "right = 500\n", + "top = .5e-5\n", + "\n", + "u = np.array([1, 2, 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 120, 150, 180, 200, 220, 250, 275, 300, 350, 400, 450, 475])\n", + "v = 1e-8 + top*(np.log(right) - np.log(u))**3/np.log(right)\n", + "\n", + "\n", + "C = 10**-3\n", + "alpha = 1\n", + "\n", + "limit_line_N = np.array([1, 1000])\n", + "limit_line_P = C/limit_line_N**alpha\n", + "\n", + "# Visualize\n", + "\n", + "# plotting\n", + "# ax2.plot(limit_line_N, limit_line_P, '--', label='Limit Line', color=colors[0], linewidth=4)\n", + "ax2.plot(u, v, label='Risk Curve', color=colors[1], linewidth=4)\n", + "ax2.plot(limit_line_N, limit_line_P, '--', label='Limit Line', color=colors[0], linewidth=4)\n", + "\n", + "ax2.set_xscale('log')\n", + "ax2.set_yscale('log')\n", + "\n", + "ax2.set_xlim(1, 1000)\n", + "ax2.set_ylim(10**(-7),.001)\n", + "# ax2.set_yticks([10**(-7),10**(-5),10**(-3),10**(-1)])\n", + "\n", + "ax2.tick_params(axis='x', labelsize=13, width=2, length=8)\n", + "ax2.tick_params(axis='y', labelsize=13, width=2, length=8)\n", + "\n", + "ax2.set_xlabel(x_label, fontfamily=font)\n", + "ax2.set_ylabel(y_label, fontfamily=font)\n", + "\n", + "fig2.patch.set_alpha(0.)\n", + "ax2.patch.set_alpha(0.)\n", + "\n", + "if grid: ax2.grid()\n", + "if legend: ax2.legend(prop={\"family\":font})\n", + "if remove_ticks: ax2.set_xticks([]); ax2.set_yticks([])\n", + "if remove_ticks_labels: ax2.set_xticklabels([]); ax2.set_yticklabels([])\n", + "if save_svg: plt.savefig(file_name + '.svg', bbox_inches=0, transparent=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "2ea36977", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 600x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# combine ax and ax2 in one figure and overlay them offset to each other\n", + "fig3 = plt.figure(figsize=(6,6))\n", + "ax_bi = fig3.add_subplot() # axes_class=AxesZero)\n", + "\n", + "# add \n" + ] + } + ], + "metadata": { + "colab": { + "collapsed_sections": [], + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.7" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/figures/data_axle.csv b/figures/data_axle.csv new file mode 100644 index 0000000..e1fcfd6 --- /dev/null +++ b/figures/data_axle.csv @@ -0,0 +1,992 @@ +41.19,69.75 +55.84,65.1 +31.76,43.73 +36.24,61.63 +47.79,45.38 +35.2,43.71 +44.38,76.57 +39.67,60.09 +60.28,100.97 +35.69,63.03 +41.28,41.09 +52.11,99.61 +35.06,96.74 +28.87,56.66 +31.45,26.19 +31.98,63.83 +17.46,32.42 +45.79,54.33 +31.65,67.07 +73.71,85.48 +43.62,103.52 +41.74,97.76 +33.64,64.44 +43.4,74.62 +55.17,88.91 +45.03,54.11 +36.84,67.6 +31.9,30.56 +36.75,71.89 +50.78,66.16 +32.28,44.52 +36.83,36.5 +49.42,44 +37.31,33.38 +28.61,33.47 +21.76,32.07 +48.28,43.22 +49.02,66.21 +42.3,57.11 +36.73,45.33 +36.94,38.49 +37.33,93.22 +31.83,56.14 +38.56,62.72 +30.55,53.31 +45.7,46.1 +33.03,29.26 +23.33,46.33 +31.18,23.39 +22.79,51.07 +35.16,34.86 +21.73,33.9 +41.21,73.51 +21.32,39.55 +32.33,41.2 +51.38,48.64 +45.05,78.96 +37.49,41.22 +52.95,65.65 +50.52,50.57 +53.12,46.78 +45.42,104.07 +28.27,38.58 +33.86,51.8 +46.44,60.72 +37.15,84.29 +24.1,30.99 +54.36,100.85 +48.75,48.19 +40.59,52.18 +53.96,135.17 +52.32,79.16 +17.32,35.93 +37.73,66.25 +38.21,55.26 +16.94,39.99 +29.85,38.7 +31.55,80.72 +47.39,44.49 +30.04,75.43 +36.73,45.98 +46.74,75.45 +36.63,58.68 +36.4,65.96 +32.86,50.45 +35.99,47.93 +33.82,61.05 +49.55,82.05 +43.67,59.7 +30.09,30.99 +40.28,61.28 +34.16,54.66 +44.89,72.86 +18.72,30.77 +50.07,59.27 +21.9,36.14 +28.59,36.53 +35.7,45.61 +53.24,88.22 +31.92,45.12 +47.89,68.85 +31.69,32.75 +60.76,78.1 +28.44,34.68 +29.78,29.44 +33.21,61.18 +26.62,63.66 +26.96,33.58 +55.37,83.64 +26.57,32.54 +53.69,64.75 +32.05,59.94 +36.14,49.43 +48.74,78.89 +30.7,28.08 +36.84,44.78 +53.85,63.85 +29.51,47.65 +30.14,37.13 +25.54,62.9 +30.13,67.55 +31.34,69.29 +39.19,62.61 +26.65,36.15 +40.32,55.47 +31.61,25.75 +46.04,59.3 +48.87,55.39 +43.3,43.42 +16.22,31.51 +47.37,76.99 +57.21,71.58 +56.49,77.52 +22.79,35.8 +57.95,67.38 +43.59,66.05 +33.96,61.22 +32.08,73.03 +45.41,75.97 +44.82,46.98 +26.78,52.05 +47.25,61.51 +27.06,56.87 +51.99,45.83 +39.04,60.16 +54.09,78.71 +19.76,41.26 +32.06,54.54 +25.14,44.79 +31.04,75.62 +39.99,41.25 +30.52,37.28 +59.7,64.95 +32.29,40.96 +31.24,36.07 +29.78,40.52 +33.25,41.6 +40.32,63.45 +49.42,43.61 +31.36,43.9 +33.18,55.93 +39.16,60.16 +45.11,49.68 +37.29,61 +30.32,69.67 +41.32,57.25 +31.55,81.22 +52.99,79.57 +43.23,59.32 +38.58,38.91 +40.17,112.23 +51.24,27.06 +46.16,80.08 +58.95,79.15 +38.82,48.57 +36.76,58.04 +31.08,36.24 +37.81,58.4 +55.35,102.93 +32.46,32.17 +51.54,82.24 +38.01,56.99 +27.67,36.81 +22.83,30.18 +31.9,57.46 +37.97,45.6 +23.47,32.75 +34.26,70.78 +38.27,60.5 +47.64,42.59 +36.47,63.14 +44.68,72.4 +37.47,56.1 +39.95,72.6 +40.05,40.78 +56.51,92.1 +50.71,62.54 +48.17,63.31 +46.23,73.78 +44.69,43.74 +49.62,91.48 +44.93,70.42 +32.37,27.98 +48.49,81.86 +20.35,34.58 +25.83,45.19 +16.16,45.02 +31.13,38.84 +52.76,41.82 +36,73.76 +25.49,30.29 +28.46,61.92 +26.58,29.87 +32.58,61.77 +39.67,54.28 +35.3,59.7 +32.41,50.83 +57.52,57.81 +36.15,37.32 +38.98,65.29 +38.29,71.45 +39.58,37.4 +30.18,85.63 +31.88,67.67 +45.36,52.55 +28.39,57.32 +34.96,71.02 +30.75,41.8 +43.3,67.82 +48.59,62.63 +38.12,52.65 +40.88,64.49 +29.72,32.05 +51.65,89.01 +56.75,54.44 +43.69,46.72 +30.73,58.58 +32.78,78.48 +27.53,35.02 +41.75,57.37 +27.02,37.38 +48.96,78.4 +36.35,56.66 +37.06,42.47 +55.29,127.55 +39.37,80.78 +31.8,38.03 +43.51,94.15 +36.08,52.42 +24.73,71.52 +24.66,68.5 +35.72,35.22 +43.59,65.6 +35.53,57.06 +32.88,65 +18.03,32 +54.17,63.05 +38.9,56.24 +51.66,56.57 +47.91,71.9 +45.06,50.79 +25.53,39.3 +44.81,71.61 +36.91,57.3 +25.42,31.82 +33.96,34.52 +28.03,32.53 +38.31,104.16 +50.74,50.69 +29.61,31.29 +54.02,61.51 +35.71,50.83 +42.6,41.47 +39.96,62.6 +30.1,68.41 +33.33,42.35 +33.64,35.68 +47.44,49.45 +31.86,54.14 +44.52,54.58 +47.1,85.78 +49.9,64.69 +38.41,40.67 +42.3,60.69 +37.72,55.65 +31.15,69.65 +37.96,47.58 +50.72,54.7 +34.28,35.09 +36.85,52.53 +33.36,42.01 +45.37,48.64 +45.64,72.53 +32.34,29.05 +42.72,36.87 +41.34,54.3 +45.85,50.91 +49.7,51.51 +41.68,40.35 +43.93,38.44 +50.5,67.76 +37.87,56.92 +35.28,30.2 +36.29,38.29 +41.41,73.29 +49.99,53.5 +50.43,71.87 +28.24,43.9 +34.61,53.97 +35.68,30.57 +48.56,59.58 +30.82,65.43 +45.97,68.4 +30.41,31.3 +29.67,31.61 +17.79,30.19 +60.03,53.98 +49.87,71.54 +36.04,45.05 +30.14,67.63 +49.63,42.12 +37.63,77.9 +43.76,46.76 +34.82,66.99 +41.37,47.64 +50.02,77.77 +42.64,50.11 +51.99,64.67 +38,62.13 +29.98,32.1 +51.52,52.8 +30.88,33.13 +36.94,93.45 +37.97,59.91 +29.4,53.14 +34.47,80.16 +57.39,75.45 +54.13,62 +26.59,32.27 +34.48,48.11 +36.77,49.78 +40.84,51.1 +41.73,42.98 +39.93,67.02 +53.99,75.58 +39.57,64.03 +52.43,43.74 +31.19,73.46 +43.9,47.64 +41.35,35.87 +51.08,46.02 +40.2,58.92 +36.37,53.56 +34.21,49.56 +35.15,47.51 +37.89,48.52 +38.03,43.23 +21.11,55.85 +34.5,29.56 +37.08,47.58 +46.62,60.53 +32.14,75.61 +41.86,60.51 +44.75,74.45 +48.43,69.28 +46.31,62.36 +52.01,74.55 +51.48,52.5 +51.67,67.45 +31.97,39.05 +15.81,30.61 +47.39,47.39 +26.64,34.81 +58.38,80.23 +30.81,31.11 +26.07,33.1 +47.6,69.85 +37.82,70.15 +25.66,34.01 +43.2,51.71 +32.22,45.24 +46.09,75.02 +48.02,74.93 +37.04,37.65 +41.72,74.52 +52.87,92.15 +36.92,63.99 +31.11,38.71 +29.78,66.84 +41.85,58.07 +45.2,69.4 +37.51,42 +22.82,40.02 +55.44,74.28 +49.99,88.59 +54.64,79.12 +15.48,31.85 +47.97,64.54 +27.19,29.83 +62.1,90.03 +48.74,71.84 +28.94,30.7 +31.51,62.9 +51.72,62.77 +43.14,42.85 +30.33,31.16 +27.47,53.51 +21.28,34.61 +38.85,62.92 +50.79,70.25 +30.3,35.66 +37.58,66.48 +28.23,53.97 +36.12,58.19 +46.3,74.19 +30.41,59.43 +48.98,68.8 +42.3,46.47 +28.59,30.74 +40.05,69.63 +41.41,67.14 +49.84,71.54 +43.12,45.85 +38.31,88.17 +51.61,98.95 +33.78,53.95 +22.21,34.72 +38.05,74.17 +43.97,71.1 +34.51,70.63 +24.6,43.17 +43.46,39.02 +30.86,29.39 +42.91,75.84 +32.04,29.75 +28.48,43.9 +18.91,33.69 +24.53,44.32 +47.15,90.03 +46.09,58.22 +31.52,51.99 +29.79,35.18 +29.77,37.78 +26.88,51.19 +37.21,72.74 +27.29,39.88 +27.26,41.07 +39.37,88.9 +51.4,81.82 +52.07,56.78 +69.39,139.79 +40.91,78.92 +35.06,29.26 +20.63,44.17 +63.75,105.64 +34.59,36.73 +25.5,43.5 +42.29,43.4 +47.11,104.64 +33.28,48.33 +28.18,29.9 +27.34,35 +26.4,51.57 +28.92,40.43 +41.87,63.45 +30.56,42.55 +24.6,33.62 +37.34,85.16 +52.82,89.94 +55.49,62.83 +32.32,61.52 +47.75,55.55 +30.69,49.75 +35.08,57.23 +31.59,30.4 +57.08,75.32 +47.42,54.33 +31.3,70.86 +43.05,49.06 +30.26,42.61 +55.64,131.67 +27.3,32.1 +44.88,66.39 +46.2,54.35 +31.2,34.22 +24.02,39.03 +23.88,45.41 +70.01,78.45 +50.68,75.11 +43.49,76.57 +30.76,35.47 +24.93,35.92 +21.33,36.11 +28.43,38.68 +51.31,70.33 +62.92,101.62 +37.1,55.58 +34.81,49.12 +61.18,80.98 +26.97,32.19 +52.17,104.76 +40.25,68.32 +39.24,37.5 +31.82,96.1 +40.1,58.23 +24.83,30.43 +42.63,63.51 +21.84,40.89 +33.91,36.91 +33.67,38.55 +36.15,56.27 +45.85,91.27 +43.37,56.63 +54,42.56 +46.82,72.68 +37.76,74.79 +53.95,68.17 +56.37,53.55 +30.28,72.18 +35.92,66.25 +35.7,55.77 +24.04,39.91 +33.75,75.78 +41.35,63.63 +42.28,72.45 +47.92,68.94 +23.78,55.79 +48.76,72.69 +26.49,63.07 +30.63,25.25 +34.67,61.24 +49.33,46.97 +32.12,32.3 +39.35,45.69 +32.13,40.27 +43.84,23.75 +26.17,72.78 +41.91,69.96 +27.52,31.65 +52.49,91.11 +17.69,31.38 +42.68,74.33 +54.64,22.44 +29.1,30.96 +30.45,27.5 +19.47,32.56 +32.01,79.27 +46.71,73.38 +43.06,53.24 +61.78,75.23 +19.26,39.8 +43.32,50.98 +26.14,30.1 +40.64,95.11 +26.52,62.56 +49.93,69.5 +45.81,47.44 +53.48,72.88 +38.81,70.03 +38.96,68.82 +31.68,34.57 +37.92,39.23 +26.75,30.77 +35.57,51.43 +44.06,69.52 +44.94,51.63 +35.25,43.97 +57.64,74.01 +33.46,65.76 +49.94,85.61 +39.2,54.09 +26.82,43.08 +29.99,69.9 +43.59,65.6 +46.21,83.03 +37.23,59.95 +30.58,63.39 +35.44,62.56 +28.12,47.27 +29.6,54.31 +33.14,53.35 +31.09,74.28 +40.99,76.24 +32.69,21.81 +51.29,79.77 +31.18,48.81 +48.11,44.23 +63.02,85.38 +52.77,64.15 +20.12,29.44 +23.24,35.11 +29.08,32.27 +50.41,81.01 +40.94,39.75 +26.12,30.73 +52.11,55.08 +48.68,75.82 +32.16,55.05 +29.89,29.31 +22.33,29.73 +36.33,57.04 +39.42,64.34 +32.7,56.96 +43.98,77.69 +30.55,43.29 +34.84,39.19 +37.1,67.98 +57.88,89.04 +41.82,66.48 +32.26,72.13 +35.24,38.73 +40.84,66.46 +41.87,51.17 +31.15,78.63 +43.53,56.93 +33.15,59.09 +49.44,63.45 +30.41,34.37 +31.26,45.29 +28.3,29.57 +36.27,54.64 +38.31,38.75 +26.7,49.07 +32.45,41.94 +44.46,42.84 +39.18,59.53 +38.2,43.01 +27.7,36.6 +55.28,80.56 +32.58,38.18 +44,64.73 +26.46,36.75 +26.59,39.41 +34.69,50.88 +26.07,31.79 +29.88,40.88 +48.46,60.32 +43.71,88.08 +19.74,35.82 +26.01,57.81 +45.35,46.92 +24.88,58.35 +24.98,53.66 +29.46,28.25 +41.23,46.64 +29.98,38.98 +47.94,78.34 +18.05,31.91 +33.18,71.75 +42.3,117.99 +33.24,26.44 +45.77,35.01 +23.5,56.1 +50.99,87.01 +35.19,44.6 +31.2,60.11 +32.96,21.05 +37.3,73.24 +29.97,33.53 +41.2,48.47 +27.77,33.4 +22.67,68.98 +39.4,59.88 +27.69,63.19 +36.71,44.88 +39.3,69.33 +38.8,47.42 +23.93,30.61 +39.86,66.37 +52.32,67.19 +47.21,58.78 +54.48,70.63 +48.26,41.58 +30.91,26.35 +57.36,65.78 +34.01,29.79 +23.84,62.86 +50.09,52.55 +40.18,52.62 +48.48,65.8 +36.58,66.28 +44.62,68.85 +53.3,59.64 +31.96,67.71 +29.49,67.86 +36.82,64.1 +39.39,62.85 +52.4,60.62 +30.06,41.69 +38.04,48.08 +39.47,67.08 +31.43,57.67 +38.54,64.55 +36.91,75.43 +43.29,67.44 +36.95,50.71 +30.73,68.56 +26.29,40.61 +33.82,21.36 +47.73,58.35 +33.52,74.55 +34.32,36.64 +32.61,50.68 +36.95,60.18 +41.57,67.85 +38.75,53.7 +24.52,30.59 +45.55,39.17 +30.58,43.44 +34.4,42.69 +31.54,44.71 +57.68,72.15 +27.08,43.08 +51.49,66.05 +32.95,60.37 +37.37,56.93 +53.74,60.01 +32.75,48 +32.7,46.13 +46.87,93.33 +38.19,56.12 +27.64,33.74 +28.65,54.99 +34.54,44.82 +41.75,54.66 +44.97,44.43 +30.26,32.7 +31.04,33.92 +25.92,32.85 +68.14,118.12 +34.29,83.85 +42.17,45.86 +30.37,31.27 +36.43,38.57 +31.06,41.85 +43.63,49.58 +31.06,54.71 +36.03,60.75 +41.75,84.41 +29.78,27.42 +52.73,43.1 +47.08,41.84 +29.28,66.52 +36.48,72.25 +31.26,63.31 +29.58,68.12 +22.8,47.79 +26.63,30.47 +30.04,31.21 +44.71,39.69 +31.8,29.71 +64.83,72.21 +51.54,42.06 +35.96,36.96 +51.83,84.84 +30.89,46.24 +30.95,31.46 +34.99,90.31 +54.05,60.95 +39.39,44.87 +37.02,57.81 +27.28,38.44 +32.01,46.73 +46.09,54.62 +44.01,55.64 +57.29,79.06 +23.6,40.82 +46.12,65.27 +49.32,69.87 +33.75,35.21 +27.21,40.16 +35.08,47.58 +31.23,25.62 +31.83,29.26 +49.08,75.59 +27.14,57.46 +46.21,82.42 +32.11,36.91 +54.09,27.45 +38.18,54.57 +30.84,52.69 +30.53,24.43 +40.46,60.2 +55.38,65.09 +32.98,46.05 +27.56,54.44 +39.86,38.8 +29.84,37.75 +45.77,43.3 +49.45,49.62 +50.38,53.56 +24.94,64.63 +26.88,52.1 +39.39,65.87 +19.88,34.9 +47.19,57.74 +33.35,42.74 +29.92,34.9 +43.42,47.26 +54.02,51.62 +50.72,42.01 +27.21,41.2 +28.28,30.7 +39.26,148.09 +35.04,32.04 +26.43,48.95 +47.45,64.3 +37.14,78.1 +18.87,36.66 +41.98,62.13 +24.28,30.06 +38.41,45.16 +29.77,41.39 +29.16,47.54 +31.43,72 +39.78,79.23 +27.87,34.2 +32.09,51.97 +29.95,31.06 +45.87,61.33 +42.02,69.32 +30.07,32.57 +49.27,68.26 +46.52,82.86 +48.84,81.3 +31.56,46.57 +46.08,54.03 +38.39,37.2 +41.42,77.34 +30.66,32.64 +28.34,57.08 +50.82,50.24 +51.34,28.93 +46.56,57.49 +33.64,44.84 +48.45,59.31 +67.82,117.15 +33.28,29.76 +16.58,30.23 +30.09,65.38 +51.65,57.12 +39.54,50.1 +49.74,46.08 +51.52,85.69 +23.38,34.34 +36.01,39.11 +47.9,50.9 +37.67,21.67 +29.56,30.8 +37.33,54.54 +31.85,40.8 +46.53,73.19 +32.8,52.67 +42.36,45.1 +39.85,51.13 +38.7,67.41 +34.81,69.39 +29.88,63.84 +30.53,58.86 +35.33,40.95 +44.11,56.93 +48.19,61.28 +47.01,77.67 +42.58,48.4 +54.41,88.94 +46.13,59.09 +17.67,30.85 +31.55,48.89 +37.75,43.49 +45.15,47.87 +53.79,66.8 +29.57,50.68 +34.89,52 +36.55,36.47 +58.62,110.2 +39.39,39.14 +33.61,53.24 +35.82,39.88 +27.88,34.26 +33.24,28.49 +46.78,80.49 +49.99,26.56 +40.15,45.81 +31.99,51.06 +51.4,85.48 +45.29,54.98 +34.15,76.57 +39.97,66.4 +58.5,80.01 +31,78.74 +64.17,106.28 +39.1,55.44 +39.79,37.47 +36.49,66.74 +27.27,32.21 +33.77,40.51 +24.21,68.85 +26.38,48.36 +33.78,75.07 +30.61,33.76 +28.87,71.18 +22.98,29.72 +20.93,31.2 +23.31,54.07 +39.59,75.42 +51.79,50.66 +28.58,34.73 +38.74,73.32 +55.25,83.64 +25.3,35.36 +33.99,71.85 +35.32,55.34 +24.48,59.19 +46.23,101.86 +31.72,81.32 +39.08,58.23 +39.49,88.26 +26.78,35.01 +26.73,33.79 +31.19,79.46 +51.56,56.46 +27.91,39.84 +36.08,37.96 +43.74,49.52 +23.9,77.07 +44.48,52.03 +26.34,59.22 +35.6,66.55 +32.06,39.73 +44.5,76 +40.07,65.99 +29.24,43.74 +45.05,44.53 +34.74,46.82 +40.87,76.86 +32.43,44.38 +32.03,43.4 +49.23,55.55 +44.92,58.8 +33.52,69.83 +35.71,75.7 +39.17,55.58 +32.12,65.54 +41.34,43.95 +22.74,72.82 +40.49,65.72 +30.79,63.25 +44.97,56.67 +34.59,35.89 +36.8,66.96 +29.64,61.99 +49.58,68.88 +64.49,113.28 +49.93,61.48 +23.08,56.45 +50.47,58.7 +49.97,58.01 +41.67,42.61 +44.73,74.03 +34.3,83.7 +52.41,59.94 +36.14,75.78 +70.07,70.25 +30,53.42 +41.47,43.4 +34.24,71.84 +46.46,38.58 +48.94,66.15 +59.37,62.79 +28.84,33.23 +34.33,51.11 +59.6,91.75 +24.7,85.84 +29.52,46.73 +39.29,57.91 +52.86,61.59 +40.4,71.06 +22.96,37.46 +41.42,45.78 +26.4,30.66 +19.79,40.65 +18.25,33.15 +37.28,50.53 +38.82,46.68 +31.5,53.62 +44.46,79.83 +44.62,79.11 +39.72,46.07 +42,62.93 +27.32,42.47 +43.87,70.57 +33.96,50.75 \ No newline at end of file diff --git a/figures/economics.ipynb b/figures/economics.ipynb new file mode 100644 index 0000000..16023fc --- /dev/null +++ b/figures/economics.ipynb @@ -0,0 +1,200 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "id": "65cbe2ec-de72-44d4-8af9-a969b06134a9", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib import rcParams\n", + "rcParams.update({'font.size': 16})\n", + "# TUDelft colors palette\n", + "colors = [\"#0C2340\",\"#00B8C8\",\"#0076C2\",\"#6F1D77\",\"#EF60A3\",\"#A50034\",\"#E03C31\",\"#EC6842\",\"#FFB81C\",\"#6CC24A\",\"#009B77\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "fc2eb45c-9f4e-4fbd-91c3-dc0ff10b4c46", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 800x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# -----------------------------------------------------------------\n", + "plot_title = \"\"\n", + "font = \"Arial\"\n", + "x_label = \"Year\"\n", + "y_label = \"Normalized Present Value [$-$]\"\n", + "legend = True\n", + "grid = True\n", + "save_svg = True\n", + "remove_ticks = False\n", + "remove_ticks_labels = False\n", + "file_name = \"../book/figures/present_value\"\n", + "# -----------------------------------------------------------------\n", + "\n", + "fig = plt.figure(figsize=(8,6))\n", + "ax = fig.add_subplot() # axes_class=AxesZero)\n", + "ax.set_title(plot_title, fontfamily=font)\n", + "ax.set_xlabel(x_label, fontfamily=font)\n", + "ax.set_ylabel(y_label, fontfamily=font)\n", + "\n", + "plt.setp(ax.spines.values(), linewidth=2)\n", + "# ax.spines[\"left\"].set_position((\"data\", 0))\n", + "# ax.spines[\"bottom\"].set_position((\"data\", 0))\n", + "# ax.spines[\"top\"].set_position((\"data\", 1))\n", + "# ax.spines[\"right\"].set_position((\"data\", 100))\n", + "\n", + "# not a permanent solution (removed the part below 0)\n", + "# ---> find a better way to auto set upper bound\n", + "# ax.spines.bottom.set_bounds(0, 100)\n", + "# ax.spines.left.set_bounds(0, 1.0)\n", + "# ax.spines.top.set_bounds(0, 100)\n", + "# ax.spines.right.set_bounds(0, 1.0)\n", + "\n", + "t = np.linspace(0,101)\n", + "y_2 = 1 / (1 + 0.02)**t\n", + "y_4 = 1 / (1 + 0.04)**t\n", + "\n", + "# plotting\n", + "ax.plot(t, y_2, label='2%', color=colors[0], linewidth=4)\n", + "ax.plot(t, y_4, label='4%', color=colors[1], linewidth=4)\n", + "# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n", + "# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n", + "\n", + "\n", + "\n", + "ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n", + "ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n", + "\n", + "if grid: ax.grid()\n", + "if legend: ax.legend(prop={\"family\":font})\n", + "if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n", + "if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n", + "if save_svg: plt.savefig(file_name + '.svg')" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "a19d456c-b5d3-43d6-8b51-1441f902985d", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAApkAAAIACAYAAADJxnfZAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAACj0UlEQVR4nOzdd1hTZ/sH8G8Swt4krCAoKA5UHIi4ce89W7Wi3Xva8bbv2/HrssvaYXdFq9a99wI37r0VF2El7D2S8/vDSsUESEIgjO/nurhan3POc24U5eYZ9yMSBEEAEREREZEZiS0dABERERE1PEwyiYiIiMjsmGQSERERkdkxySQiIiIis2OSSURERERmxySTiIiIiMyOSSYRERERmZ2VpQN4kIODAwoLCyGRSODp6WnpcIiIiIjoIampqdBoNLC1tUVeXl6F94nqUjF2iUQCrVZr6TCIiIiIqApisRgajabC63VqJPN+kikWi+Hj42PpcIiIiIjoIUlJSdBqtZBIJJXeV6eSTE9PTyiVSvj4+CAhIcHS4RARERHRQ/z8/KBUKqtc2siNP0RERERkdkwyiYiIiMjsmGQSERERkdkxySQiIiIis2OSSURERERmxySTiIiIiMyOSSYRERERmR2TTCIiIiIyuzpVjJ2IiKguKikpqfT4PKL6SCwWQyqVQiQS1Uj/TDKJiIgqkJ2dDbVajaKiIkuHQlQjJBIJ7O3t4enpCWtra7P2zSSTiIhIj+zsbCiVSjg6OkImk9XoiA9RbRMEARqNBgUFBcjKysKtW7fg5+cHe3t7s72DSSYREZEearUajo6O8PPzY3JJDZajoyPc3d1x+/ZtqNVq+Pv7m61vbvwhIiJ6SElJCYqKiuDi4sIEkxo8iUQCd3d35OXlobS01Gz9MskkIiJ6yP1NPlKp1MKRENUOGxsbAGCSSUREVBs4ikmNRU18rTfKNZmCICAhKRUnzlzG8bOXcOLMZSz75WO4ODlaOjQiIiKiBqHRJZlb9xzGC//5EqnqjHLtp89fRZ9unSwUFREREVHD0uimy+UerjoJJgAcP3PZAtEQERERNUyNLsls1yoIUqnuAO6Js0wyiYiIDBUbGwuRSFThh7W1Nby9vTFw4ECsWbOm3LPR0dEQiUSYNm1atd7ds2dPc3wqVEMa3XS5jY012rdurpNUnjhzyUIRERER1V8ODg4YM2aMTntGRgYuXryIXbt2YdeuXfjkk0/wn//8p/YDJItpdEkmAHRu30onyUxMUSMxWQVfb7mFoiIiIqp/ZDIZFi9erPeaVqvF3Llz8cYbb+D999/H9OnT0aRJE4wdOxYRERFwcXGp5WipNjW66XIA6BzaSm/7iXNXajkSIiKihkssFuP1119HWFgYSktLsW3bNgCAi4sLWrVqBR8fHwtHSDWpcSaZ7VvrbeeUORERkfk1bdoUAJCWlgag4jWZcXFxGDt2LJo2bQobGxv4+vpi4sSJiIuLM+g9ly5dglwuh0gkwvfff2/Wz4GM1yiny1s084OzowOyc/PKtXPzDxERGarbj6fN2t+UUDle7qmo9J55B5RYdkZl8jsOP9/B5GdNlZubi/379wMA2rZtW+F9MTExGDx4MDQaDXr06IEuXbrgxo0bWLVqFdatW4ctW7Zg4MCBFT4fHx+PAQMGQK1WY+7cuXjxxRfN/rmQcRplkikWi9GpfUvEHjpZrv3k2SvQarUQixvlAC8RERkh7k6OWfvr5u9c5T23M4rM/t6aoNVqkZWVhZMnT+K///0vUlJS0LlzZwwdOrTCZz7++GOUlJRg+/btGDRoUFn73Llz8dprr+GTTz6pMMlMSEhA//79kZiYiK+//hqvvPKKuT8lMkGjTDKBe5t/Hk4ys3PzcO1mAloG+VsoKiIiovrl9u3bVR5JOGzYMCxYsAASiaTCe5KSkgAAAQEB5dqff/55iEQiBAcH630uNTUVAwYMwK1bt/DFF1/gtddeM/IzoJrSeJPM0ArWZZ69xCSTiIjIQA+WMBIEAXfv3i2bHp8yZQo++ugjtGjRosp+evfujUuXLqFPnz6IiorC0KFD0b17d1hbW1c4MpmdnY1BgwbhypUrGDp0KGbPnm2uT4vMoNHOC4e1r2CHOU/+ISIiMtj9EkaLFy/GkiVLsG/fPhw4cADOzs5YtmwZVq5caVA/c+bMwcCBA5GSkoI5c+YgMjIS7u7uGD9+PNatW6f3mXPnzuHMmTOwsrLCjh07cOLECTN+ZlRdjXYk08dLBl8vGRJT1OXaufmHiIgMEeHvZNb+AtxsDLrH3O+tCT169MCiRYswZswYvPvuuwgMDMSUKVMqfcbFxQU7duzA8ePHsW7dOuzatQvHjx/HmjVrsGbNGowfPx6rVq3See5///sfHBwc8NZbb+GJJ57AsWPHYGXVaNObOqVR/yl0Dm2NxB37y7WdvXQdRUXFsLGxtlBURERUH1hip/bLPRVV7kCvK0aPHo3HH38cf/zxB5599ln06dPHoLqYYWFhCAsLw8cff4ysrCysWLECL7/8MlavXo0DBw6UO0oyLCwMH374IUpLS7F48WKcPn0aX331Fd5+++2a/NTIQI12uhy4t/nnYSUlpTh3+YYFoiEiImpYvvrqK3h7eyMzMxOvvvpqhfelpaWhc+fOaNeuXbl2FxcXPPnkkxg8eDAA4O7du+Wu29jcG/21srLCzz//DJFIhA8//BDXrl0z82dCpmjUSWZYRSf/cF0mERFRtbm6uuLrr78GACxfvhy7du3Se5+Hhwc0Gg3Onz+PuXPnlrt269YtHDx4EGKxGGFhYRW+q3v37njyySdRWFiIp556CoIgmO8TIZM06iSzQ9tgvWUXTpzlyT9ERETm8Oijj6J///4A7pUjKioq0nvfzz//DBsbG7z22mto06YNxo8fj4EDB6J169ZQqVSYPXt2lbvUP//8c3h6eiI2Nha///672T8XMk6jTjJdnBwRHKhbrug4N/8QERGZzfz582FjY4OrV6/iiy++0HtPREQEDhw4gPHjxyMjIwMbNmzAiRMn0KNHD6xcuRKff/55le9xc3PDN998AwB48803y2pvkmWIhDo0nuzn5welUgmFQoGEhIRaeefTb36OpWu267TfPbkRrs6OtRIDERHVLYWFhbh58yaaNWsGW1tbS4dDVOOM+Zo3NF9r1COZQMX1Mk+du1LLkRARERE1HI0+yazo5J/jZ7guk4iIiMhUjT7JbNsyENZSqU47i7ITERERma7RJ5nW1lK0b9Ncp/34mUssf0BERERkokafZAL662WmqNKRmKzWczcRERERVYVJJoDO7StYl8l6mUREREQmYZIJoDNP/iEiIiIyKyaZAIICFHprYnLzDxEREZFpmGQCEIvF6NROdzTz1Lkr0Gg0FoiIiIiIqH5jkvkPfVPmOXn5uBZ/1wLREBEREdVvTDL/0bmCk394jjkRERGR8Zhk/qOiJPMET/4hIiIiMhqTzH94e3rAz8dTp52bf4iIiIiMxyTzAfpGM89dvoHComILRENERES1raGc9lcXPg8mmQ/opCfJLC3V4OzF6xaIhoiIqG5r2rQpRCIRYmNjLR2KWRw7dgzdunVDaWmppUMxWWFhIT766CN89tlnlg6FSeaDwipal8mTf4iIiBq8rl274siRI5YOo1q++OILvP/++8jPz7d0KEwyH9ShbTBEIpFOO0/+ISIiavjqwhRzdWm1WkuHUIZJ5gOcnRzQMshfp51ljIiIiIiMwyTzIZ1DW+u03biVgPTMbAtEQ0REVH/ExsZCJBLhlVdewZUrVzBx4kTIZDLY2dmhc+fOWLBgQdm9Go0Gvr6+EIlEuH5d/96H0aNHQyQSYePGjeWe+/XXX9G1a1c4OTnB0dER3bp1Q3R0tN6RyLi4OIwdOxZNmzaFjY0NfH19MXHiRMTFxZXdEx0dXW4mUyqVlvu1SCRCWFgYMjIy8NJLL0GhUMDOzg6hoaH4+++/AQB3797Fo48+Cg8PD7i7u2PgwIE4c+aM3s9r165dGDZsGDw8PGBra4vWrVvjgw8+QF5eXrn7bt26BZFIhDFjxiApKQmzZs2Cj48PbG1tERISgq+//rrcyYRNmzbFhx9+CAD45JNPIBKJ8MEHH+iNoTZYWezNdVRY+1ZYsnqbTvupc1fQv1cXC0RERER1Ube4C5YOocwUHw+8HOBd6T3zbidXeY+5XLhwAeHh4bC1tUX37t2hVqtx+PBhzJo1C+np6Xj99dchkUjw6KOP4uuvv8ayZcvw3nvvlesjIyMD27Ztg0wmw5AhQwAApaWlGDt2LDZt2gQXFxd0794dUqkUsbGxmDlzJmJjYxEdHV3WR0xMDAYPHgyNRoMePXqgS5cuuHHjBlatWoV169Zhy5YtGDhwIIKCgjB16lQsWbIEAPDoo4/qLJ/Lzs5Gt27dkJiYiL59+yI1NRVxcXF49NFHoVar8emnn0IikaBXr164dOkSdu3aVfb/CoWirJ/PP/8c77zzDqRSKbp06QJvb2/ExcXhww8/xPr167Fnzx64ubmVe3dSUhK6dOmCvLw8dOvWDYWFhdi7dy/eeOMN3Lp1C99//z0AYOzYsdi9ezfOnTuHtm3bIjQ0FO3btzfbn6vRhDpEoVAIAASFQmGxGE6euyw4BkXqfMz5YZHFYiIiotpVUFAgXLx4USgoKKjwHmyLqzMfr166VeXnZMg9xgoICBAACDExMYIgCEJMTIwAQAAgTJ48WcjNzS2797vvvhMACJ6enoJWqxUEQRDOnDkjABBCQkJ0+v7tt98EAMILL7xQ1vb+++8LAIR+/foJKpWqrD05OVno2LGjAED47bffytr79esnABC2b99eru9vvvlGACD06dOnXPv92EtKSvS2t2nTRkhJSSlrf+mll8qujRgxQsjPzxcEQRBKSkqEnj17CgCEL7/8suz+PXv2CCKRSPDz8xPOnDlT1l5YWChERUUJAISpU6eWtd+8ebOs/8jIyHKf84YNGwQAgpWVlZCRkaHze/Tuu+/q/J5WxpCv+fsMzdc4Xf6QkOBA2FhLddqPc/MPERGRQaysrDB//nw4ODiUtT399NOwsbFBamoqUlNTAQDt27dHaGgoLly4gHPnzpXrY+nSpQCA6dOnAwCKi4vx7bffwtraGosXL4ZMJiu718vLC7///jsA4KuvviprT0pKAgAEBASU6/v555/H3Llz8eabbxr1eX300Ufw9Pz34JapU6eW/f8333wDOzu7ss9/1KhRAFBuKcAXX3wBQRAwb968ciOMNjY2mD9/Pry8vLBs2TIolUqdd8+bN6/c5zxy5Eg0a9YMpaWluHLlilGfR21hkvkQa2sp2rdpodN+4uylBrHrjIiIqKa1aNEC7u7u5dqsra3LkqQH1x7eTyKXLVtW1paUlIS9e/ciODgY4eHhAICTJ08iKysLrVq1go+Pj847O3XqBE9PT1y5cgXJyckAgN69ewMA+vTpg7fffht79+5FSUkJrK2t8corr2DYsGFGfV4RERHlfi2XywEA9vb2aNGifO7g6uoK4F7dSuDeWtJ9+/YBAPr27avTt52dHXr37g2NRoP9+/eXu2Zvb4927drpPOPr6wsAOms56wommXqEherWy0xVZyAhKdUC0RAREdUvD68pvM/K6t5WkAfL7EydOhUSiaRckrls2TJotdqyBBQA7ty5AwA4e/YsRCKR3o/7I6R3794FAMyZMwcDBw5ESkoK5syZg8jISLi7u2P8+PFYt26d0Z/Xw4nz/XWb+j7fh9d0pqWlldWudHd31xv/ypUry8V/n6urq94Si/p+P+sSbvzRQ9/xkgBw8uxlNPH1quVoiIioLopwcbR0CGUC7GzMco+56EuIKuLt7Y2BAwdi27ZtOHr0KMLDw/H3339DJBJh2rRpZffd30Xt7++PXr16Vdqnk5MTAMDFxQU7duzA8ePHsW7dOuzatQvHjx/HmjVrsGbNGowfPx6rVq0yOFapVHc5naHux29jY4MJEyZUem/z5s3L/dqY38+6hEmmHvrKGAH36mWOHtKnlqMhIqK66HBEiKVDMEpt7Sw3xfTp07Ft2zasWLECHh4eOHbsGHr16oWmTZuW3XN/irxJkyZYvHixUf2HhYUhLCwMH3/8MbKysrBixQq8/PLLWL16NQ4cOICePXua89PRy8PDA1KpFCUlJfjjjz9gY1N7Sb+lcLpcj6AABVyddX9C5ck/RERE5jd27Fg4OTlh48aNZVPGD06VA0CXLl1gZ2eH06dPl23oeZBSqURwcDAGDBiA3NxcpKWloXPnzjprGV1cXPDkk09i8ODBAHSnpmuKtbU1unXrBq1Wi+3bt+tcFwQBffv2Rffu3XH06FGT31OXRj2ZZOohEon0TpmfOn+lXNFTIiIiqj47OztMmDABV69exY8//ggbGxtMnDix3D0ODg546qmnkJeXh2nTppWtvwSA3NxcREVF4dq1a2UF2j08PKDRaHD+/HnMnTu3XF+3bt3CwYMHIRaLERYWVtZua2sLAMjKyqqRz/PVV18FALzwwgs4depUWbtWq8V7772H2NhY3Lx5E6GhoSa/o6Y/B2MwyayAvinz3LwCXL1xxwLREBERNWz3Ry4TEhIwcuTIst3ZD/rss8/Qu3dv7NmzB82bN0f//v0xatQoBAQEYNeuXQgODsYvv/xSdv/PP/8MGxsbvPbaa2jTpg3Gjx+PgQMHonXr1lCpVJg9e3a5XeH3/z8yMhLjx483+67tMWPG4I033sDdu3cRHh6OiIgIjBs3Di1atMCnn34Ke3t7rF69ulpT6fc/h99//x1jx44tK+1kCUwyK1DR5h+eY05ERGR+kZGR8Pf3B6A7VX6fnZ0ddu7ciXnz5qFVq1Y4cuQIYmJioFAo8MEHH+DIkSPl6lhGRETgwIEDGD9+PDIyMrBhwwacOHECPXr0wMqVK/H555+X6/+PP/5A586dce3aNcTGxiI+Pt7sn+eXX36JDRs2oH///rh69Sq2bNkCsViMxx9/HGfOnEH37t2r1f+YMWPw6quvwtHREVu3bsWBAwfMFLnxREIdKv7o5+cHpVIJhUKBhIQEi8aSokpH827jddoff3QUvv3oVQtEREREtaWwsBA3b95Es2bNyqYfiRoyY77mDc3XOJJZAS+5u95yRSfOXLJANERERET1C5PMSuibMj9/JR4FhUUWiIaIiIio/mCSWYnOek7+KS3V4OzF63ruJiIiIqL7mGRWIqyCzT8nznLKnIiIiKgyTDIr0aFtS4jFur9FJ7jDnIiIiKhSTDIr4ehgh1bNA3TaefIPERERUeWYZFZB3+afG7eVUKVl1n4wRERERPUEk8wqhOnZ/AMAh46dqeVIiIiIiOoPJplV6BHeQW/7/iNMMomIiIgqwiSzCsGBTeApc9Np33/kdO0HQ0RERFRPMMmsgkgkQq+uHXTaL169yXWZRERERBVgkglAEARkF5ZWeF1fkglwXSYRERFRRawsHYAlZBWU4ujdHMTdycGRuzmIu5ONnk1dsG5GG73396wgydx/5AxGD+lTg5ESERER1U+NMskc/Md5HLmbU64t7k42BEGASCTSuf/+usxUdUa5dq7LJCIiqjkVfV+m+qFRTpd39XfSaUvJLcGdzCK993NdJhER0b8++OADiEQioz5u3bplcP+JiYmYNm0a9uzZY5Y433vvvWr1Q6ZplCOZEf5O+O6gbnvcnRwEuNnqfaZX1w5YvTlGp/3QMU6ZExFR49K+fXtMnTq1XFtKSgp27doFBwcHjBkzRucZR0dHg/ufNm0aYmJiEBUVVc1IyZIaaZLprLc97k42JofK9V7rFdFBbzvXZRIRUWMzbtw4jBs3rlxbbGwsdu3aBZlMhsWLF1erf61WW63nqW5olNPlTd1sIHeQ6rTH3cnRc/c9LZo1gZfcXaed6zKJiIiIdDXKJFMkEiFCz7rMU4m5KCrV/9MT12USERGZbuvWrRgyZAjc3d1ha2uL4OBgvPXWW0hPTy+759atWxCJRNi7dy8AYODAgRCJRIiNjS275+rVq3jmmWcQHBwMBwcH2NnZISgoCM8//zwSExNr+9OiSjTK6XLg3rrMjZfSy7UVlQo4k5SH8Ca6CSgA9OoailWbdBchHzx6BmOGcsqciKihe+E/X+Hi1ZuWDqPa2gQ3ww+fvlFr73v33Xfx6aefQiKRoGfPnpDJZIiLi8MXX3yB5cuXY8+ePQgMDISjoyOmTp2KnTt3IjU1Ff3794e3tze8vLwAAPv378eQIUOQn5+Pzp07IzQ0FOnp6YiLi8P8+fOxadMmnD9/Hk5O+r+PU+1qxElmxesyK0oyK66XeZpJJhFRI3Dx6k0cO33R0mHUKxs3bsSnn34KuVyOrVu3onPnzgCA4uJiPP/88/j9998xadIkHDt2rGw9Z2RkJFJTU/H2229jwIABZX09//zzyM/Px4oVKzBx4sSy9uTkZEREROD27dvYsGGDzqYksoxGOV0OAGF+jtBXeovrMomIiMxn7ty5AIAvv/yyLMEEAGtra/z0009o0aIFTpw4UWW5otzcXHTu3BmzZs0ql2ACgLe3N8aOHQsAuHmz/o80NxSNNsl0trVCiJe9TvuRSpLMitZlXrp2C6q0DN0HiIiIGrHS0lIcPHgQYrFYZzc6AFhZWWH8+PEAUG7dpT6Ojo5YsGAB/vjjj3LtSqUSmzdvxpkz9456LirSX/Oaal+jTTIBIKKJ7pR5fHohUnOLK3ymV9dQve0Hj541W1xEREQNQVpaGoqLi+Hu7l7hOslmzZoBAJKSkgzq89ChQ4iKikL79u1hb28PPz8/jBgxoixJFQTBLLFT9TXaNZnAvc0/vx9L1mk/cicHI9t46H2G6zKJiBqvNsHNLB2CWdTW52FIwqfRaAAANjY2Vd77/PPPY/78+RCLxQgNDcWkSZPQpk0bdO3aFTt27MCnn35a7ZjJfBp1kqnveEng3rrMipLM++syU1Tld6ZzXSYRUcNXmzuyGwIPDw9YW1sjPT0dOTk5ekcz4+PjAaBsB3lF9u7di/nz56NJkybYtm0b2rRpU+76mjVrzBc4mUWjni5v7WkPJxuJTvuRu1yXSUREVF1SqRTdunWDVqvVmwSWlpZi7dq1AIDIyMiydpGenbmHDx8GAIwfP14nwdRoNNi9ezcAnhZUlzTqJFMiFuktV3T0bg402oqH+Cs6YpLrMomIiMp75ZVXAACzZ8/GyZMny9pLSkrw3HPP4caNGwgNDUXPnj3Lrtna2gIAsrKyytrk8nvHPu/evRv5+fll7fn5+Xjqqadw4cIFAEBhYWGNfS5knEadZALQe/JPTpEGl1Lz9dx9j76RTIBT5kRERA8bM2YM3njjDahUKoSHh6Nv376YOHEiAgMD8dtvvyEgIADLly+HWPxvStKiRQsAwAsvvIAJEybg8OHDmDhxIvz8/HDu3DkEBgZi7NixGDZsGHx9ffHnn38iJCQEwL2amVQ3NPoks2sFhdcrq5fZvKkfvD1112wyySQiItL15ZdfYv369ejbty9Onz6NTZs2wcnJCe+99x5OnTqFli1blrv/v//9L0aNGoWcnBxs374d586dg7OzM+Li4jBr1izY2dlh8+bNOHLkCDp16oRly5YhNjYWIpEI27dvR0lJiYU+U3qQSKhDe/39/PygVCqhUCiQkJBQK+9MzS2G1/8d0Wl/oos3fpvQosLnZr36f1i5UbdwbPyRNZB7uJk1RiIiql2FhYW4efMmmjVrVjZ1S9SQGfM1b2i+1uhHMj0drRHorvubeTSh4pFMoOJSRlyXSURERNTISxjdF+HvhPwSDbr5O6OrvxMi/J3QWaF/Gv2+itZl7os7xXqZRERE1OgxyQTw+4QWsLUS6y2ZUJH76zKTU9PKtXNdJhERERGnywEAdlKJUQkmcL9epu4Rk5ev32a9TCIiImr0mGRWQ0XrMg8cOVO7gRARERHVMUwyq4H1MomIiIj0Y5JZDayXSURERKQfk8xqEIlE6K3niEmuyyQiahjqUClpohpVE1/rTDKrqWd4B73tXJdJRFR/3T/iUKPRWDgSotpx/2v9weM9q4tJZiWSc4oReyOz0nt66RnJBDhlTkRUn0mlUkgkEhQUFFg6FKJakZOTA6lUCqlUarY+WSfzAZdS8rHtagaO3MlG3N0c3M4ogrVEhOyPusPGSn8+HhSggI+XDEkp6nLtTDKJiOovkUgEe3t7ZGVlwd3dHRKJxNIhEdWYgoICZGdnw9XV1eiSjpVhkvmA9RfT8M62W+XaijUCTilzERHgrPeZ+/UyV2zYXa79/rpMnmNORFQ/eXp64tatW7h9+zbc3d1hY2Nj1m/ARJYkCAI0Gg1ycnKQnZ0NGxsbyGQys76DSeYDIvz1HyUZdyenwiQTuLcu8+EkE7i3LnPssEhzhUdERLXI2toafn5+UKvVSEpKsnQ4RDVCKpXC1dUVMpnM7CP2TDIfEObnBLEI0D60wSruTjYARYXPVbYuk0kmEVH9ZW9vD39/f5SWlqK0tNTS4RCZlVgshlQqrbEReiaZD3C0kaCttwPOJuWVaz9yN6fS5ypal7kv7rS5QyQiIguwsrKClRW/ZRIZg7vLHxLRRHfK/FZGEZJziit8pqJzzK/cuI1UdbpZ4yMiIiKqD5hkPqSidZlH7lQ+msl6mURERET/YpL5kAh//Rt87q3LrBjrZRIRERH9i0nmQ1rK7eBiq7u7Kq6KkcygAAV8vXS3/u/nSCYRERE1QkwyHyIWixCuZ13msYQcaB7edv6Ae+syO+i0c10mERERNUZMMvXQty4zr1iLCyn5lT7XU0+SCXBdJhERETU+TDL1MHldZgVJ5p6DJ6obEhEREVG9wiRTj656psuBqtdlBgb4QuEt12nfHhsHQah4qp2IiIiooWGSqYeHgxTNPWx12qsqYyQSiTCwT7hOe3JqGs5cuGa2+IiIiIjqOiaZFdA3ZX4xNR+ZBZUfKzakbze97Vv3HDZLXERERET1AZPMClRUlP1YFUdM9u3RGbY21jrt22KYZBIREVHjwSSzAhUlmVWty7S3s0Xvbh112k+eu4Lk1DSzxEZERERU1zHJrEB7HwfYWun+9sTdrXyHOQAMrWDKfHtsXLXjIiIiIqoPmGRWQCoRo7Ofo077kTs5Ve4UH9w3Qm8712USERFRY8EksxIRekoZudlZQZ1XUulzTXy90K51kE57zMETKCwqNlt8RERERHWVlaUDqMsig1xwNjkPEf5OiPB3RngTJ8gcpAY9O6RvN5y7dKNcW35BIfbHndZb5oiIiIioIeFIZiVGtPbAjifa4aNBTTGslbvBCSZQWSmjQ+YKj4iIiKjOYpJZQ8JCW0Hm7qrTvi2Gp/8QERFRw8cks4aIxWK9G4DuJqbg4tWbFoiIiIiIqPYwyaxBQ7nLnIiIiBopJpk1qG+PMEilunurmGQSERFRQ8ckswY5OzmgV3gHnfZjpy9ClZZZ6/EQERER1RYmmTVsSD/dKXNBELBz3xELRENERERUO5hkGimzoBQbLqbhlQ03cPBWVpX3V1jKaDenzImIiKjhYjF2A+QWafDR7juIuZGJk8pcaP+pQGRtJUaPpi6VPtvM3xetmgfg8vXb5dp37z+G4uISWFsbXnuTiIiIqL7gSKYB7KRi/HY0GccT/k0wASDmRqZBzw/ppzuamZOXj0PHz5opQiIiIqK6hUmmASRiEfo00x2xPKnMRWZBaZXPVzRlvm1PXLVjIyIiIqqLmGQaqF9z3SRTKwD7bla9LrNrxxC4uTrrtG/dc4in/xAREVGDxCTTQH0DXfW2GzJlbmUlwaDe4Trt8XcScTX+bjUjIyIiIqp7mGQaKMTLHjIH3X1Se25UPZIJ6F+XCQDbYrjLnIiIiBoeJpkGEotFekczzyblQZ1XUuXz/Xt1gUSi+9u9dfchc4RHREREVKcwyTRC3yD95YpiDZgyd3NxQvew9jrtcSfPIz0zu7qhEREREdUpTDKN0K+5q972mHgDp8z17DLXaLTYvf9YdcIiIiIiqnOYZBohWGYHHydrnXbD62XqHjEJcF0mERERNTxMMo0gEon0TplfSi1AUnZxlc8HB/ojqKmfTvvOvUdRWqoxS4xEREREdYFBx0r27t3bbC8UiUTYu3ev2fqrbf2CXLH0tEqnPTY+E4908Kzy+SF9I/DjglXl2jKychB38jx6hoeaLU4iIiIiSzIoyTxw4IDZXigSiczWlyVUtPkn5kaWQUnm0H7ddJJM4N6UOZNMIiIiaigMSjIBYODAgfjPf/5TrZd98skn2L17d7X6sLRm7rbwd7XBncyicu17DFyX2T2sPZwdHZCdm1eufeuew/j4rWfMFSYRERGRRRmcZHp5eaFPnz7Vetnvv/9erefrApFIhH5Brog+kVKu/UZaIe5kFMLfzbbS56VSKwzo3QVrtsSWa7964w5u3FIiqKnC3CETERER1TqDNv7MmDHDLOsye/fujccee6za/VhahVPm1ShlBADbY7nLnIiIiBoGg5LMp59+Gnfu3MH58+cN7vjKlSvYt28flEplWduTTz6JBQsWGB9lHdM3yFVvu6GljAb26QqxWPe3fltMXDWiIiIiIqo7DEoy582bh08++QS5ubllbZs3b8batWsrfCYrKwt9+/bFW2+9Vf0o65gmrjZo7qE7LR5zIwuCIFT5vMzdBeEd2+i0Hzh6Btk5eXqeICIiIqpfDEoyjx49ilatWiEi4t9i4suWLcOECRMAAK+99hqGDx9e7pnw8HC0adPGrDvT6xJ9o5l3MosQn15o0PP6psxLSkqx58Dx6oZGREREZHEGJZlJSUlo2bJlhddVKhW2bdum0966dWukpqaaHl0d1u+BdZkKZ2tM6+iJPya0gIe91KDnh/bTvy5zK0//ISIiogbAoN3lTk5OKCgoMLrzvLw8ODk5Gf1cfdC/uSt+GdccfYNc0dzD1uj6n61bNEWAnzduJySXa98eE4fSUg2srCTmDJeIiIioVhk0ktmkSRNcuXLFqI61Wi3OnDkDPz/dYxQbArmjNZ7q6oMWMjuTCsyLRCK9U+ZpGVnYF3fKHCESERERWYxBSeagQYNw+/ZtxMTEGNzxmjVrkJiYiH79+pkcXEM3fEAPve3LN+yq5UiIiIiIzMugJHP69OkQiUR47rnnoFarq7z/3LlzeO655yAWi/H0009XO8iGqlfXDvCUuem0b9y+HwWFRXqeICIiIqofDEoyW7dujWeeeQZXrlxBWFgY/v77b+Tn5+vcd/DgQbz88suIiIiAWq3GnDlz0Lx5c7MH3VBYWUkwYYTuSG9OXj627j5kgYiIiIiIzMPgYyXnzp2LhIQEbNiwAdOmTStrDwwMhEqlgiAI6N27NwRBgJ2dHebMmYPXX3+9RoJuSCaNGoD50at12pet34Vxw/taICIiIiKi6jNoJBMApFIp1q1bh99//x0hISFlRcdv3bqFvLw8iEQiBAQE4MUXX8TFixcxe/bsGgu6IenUriWCmupujtq57wjSMgw7ppKIiIiorjE4ybxv1qxZOHv2LCZPngwA2Lt3LwYNGgQAiI+Px7x58xAQEGDeKOuZUo0AVW6xQfeKRCJMGT1At49SDdZt3Wvu0IiIiIhqhUFJ5oYNG3DqVPmyOk888QRefPFF9OrVC7Nnz8aLL75YZT+nTp3Chg0bTIu0DtNoBZxU5uLrfQkYseAC3D88jKfWXDf4+YkjdZNMgLvMiYiIqP4SCQYcti0WizFt2jQsWrSoWi+bPn06li5dCo1Go/e6n58flEolFAoFEhISqvWu2tTv17OIuVF+atvVzgrq/0VAIjashmbf8c/h+JlLOu0X9v4Nf4W3WeIkIiIiqi5D8zWDp8sFQYBWq63WhwH5bL0U5qd7qlFmQSnOJOUZ3MdkPVPmALBiw26T4yIiIiKyFIOTzKVLl0IqlVbr4++//67Jz8Vi+ga66G3fcz3T4D7GD+8LiUT3j2PFhl0NNjknIiKihsuokUxzfDREPZs5w0rPtHhMfKbBfcg93NCvR5hO+6Vrt3D+8o3qhEdERERU6wxKMqs7Tf7gR0XrMeszJxsrdPFz1GnfF5+NEo3W4H4mjeIGICIiImoYjC5hRPr1DXLVacst1uBEQq7BfYwY2BP2drY67as27oFWa3iySkRERGRpTDLNpF9z/esyY+INL6ju6GCH4QO667Qrk1U4ePSsybERERER1TYmmWbSPcAZ1hLddZnGbP4BOGVOREREDQOTTDOxk0rQLcBZp/3g7WwUlRo+1d2/Zxd4uOmOiq7fthdFRYadIkRERERkaUwyzUhfKaOCEi2O3MkxuA+p1ArjhkXqtGdm52L73iPVCY+IiIio1jDJNCN9m38AYM+NTKP6mVRRYfb1nDInIiKi+oFJphl19XeCnVT3t3Tz5XTj+ukYgqZNfHTat8UcRma24bvViYiIiCyl2klmUlISVqxYga+//hrr168HABw/fhwlJSXVDq6+sbESI1LPlPnxhFwkZRu+nlIkEmHiyP467UXFJVi/bW+1YiQiIiKqDSYnmVlZWXjssccQEBCARx55BG+++SZWr14NAHj55ZfRrFkzHDnS+NYQjmztrrfd2NHMinaZ8yxzIiIiqg9MSjLz8/PRr18/LF68GB4eHpgwYUK5IyOtra2RmJiIgQMHIj4+3mzB1gfDW+lPMjddMi7JbNU8AKFtWui07z9yGonJKpNiIyIiIqotJiWZX375JU6dOoWoqCjcvHkTy5cvL3c9JiYG77zzDnJzczFnzhyzBFpf+LvZItTHQad957UMFJYYd2rPZD0bgARBwMpNe0yOj4iIiKg2mJRkLl++HAqFAr/88gtsbXWPQQSAjz/+GIGBgYiNja1OfPXSCD1T5vklWsQYuct8woh+EIl0C7xzlzkRERHVdSYlmTdv3kRERASkUmmF94hEIoSGhuLu3bsmB1dfVbQuc6ORU+Y+XjL06dZRp/3speu4fO2WKaERERER1QqTkkwHBwckJydXeV9iYiLs7e1NeUW91sXPCZ6O5RNwT0cpXGwlRvfFYyaJiIioPjIpyQwPD8exY8dw4cKFCu85ffo0Tpw4gfDwcJODq6/EYhGGt3JHex8HvNuvCQ4/F4qkd7vis6HNjO5r1OBesLHWHTFeuXF3uc1WRERERHWJSUnma6+9huLiYgwfPhzr169HVlZW2bWSkhJs2rQJY8aMgUajwfPPP2+2YOuTX8Y1x5lXOuHjwU0REeAMsVh3baUhXJwcMbRfd5322wnJiDt5vrphEhEREdUIk5LMAQMG4NNPP8Xdu3cxbtw4uLu7QyQSYdWqVbC3t8fo0aNx584dvPHGGxg+fLi5Y64XpBLzHabEYyaJiIiovjE5E3r77bexa9cuDBo0CHZ2dhAEAYWFhRCLxejVqxfWrl3b6MoX1ZRBvcPh6uyo075mayxKSkotEBERERFR5ayq83Dfvn3Rt29faLVapKWlQaPRwMPDo9Jd52Q8GxtrjBnaB9HLN5drT8/Ixs59RzGsv+50OhEREZElmWVOVywWQy6Xw9vbmwlmDZlcwS7zBcs21XIkRERERFUzaSTzzz//NOr+WbNmmfIaekD3Lu3h5+OJhKTUcu3bY+Nw804imvn7WigyIiIiIl0mJZlPPPGE3pNoHiYIAkQiEZNMMxCLxZgxaRg+mRddrl0QBPy6eB0++89zlgmMiIiISA+TkszHHntMb5Kp0WiQmZmJ48ePIzk5GY888gh69+5d7SAbioTMImy6nI5Nl9LR2tMOXw4PNOr5mVNG4ov5i3U2+yxetRXvvTITDvZ25gyXiIiIyGQmJZnR0dGVXtdoNJg9ezZ++uknzJ4925RXNChz9yvx18kUnErMK2s7n2KDL4Y1M2hE+D4vuTvGDY3UOe0nMzsXy9fvxKxHRpktZiIiIqLqMF8xxwdIJBJ89dVX8PLywv/+97+aeEW9ciYpt1yCCQC3M4pwPjnf6L6efmys3vafF63lCUBERERUZ9RIkgncW0MYFhaG/fv319Qr6o2RrT30tm+6nG50X106tEFYaCud9kvXbmF/3Gmj+yMiIiKqCTWWZAJAfHw8SktZLHxgC1dIJbrT4hsvppnU39PTx+lt/2nRGpP6IyIiIjI3k5JMrVZb4UdJSQmUSiVmz56N06dPo3PnzuaOud5xtrVCZKCLTnvc3RyocouN7m/s0D6Qe7jptG/ZfQh3lMkmxUhERERkTiYlmVKptMIPW1tb+Pv745tvvoFIJMI777xj7pjrpRGt3XXaBAHYciXD6L5sbKwx65EROu1arRa/LVlvUnxERERE5mRSkikIQoUfAODo6IgePXpg7dq1GDx4sFkDrq8qWpdp6pT544+MgpWVRKd94YotKCgsMqlPIiIiInMx+3S5RqNBVlYW9u3bh1GjWFLnvmbutgjxstdp3341E8WlWqP78/GSYfRg3RqkGZnZWPFQiSMiIiKi2lajG3+oPH1T5rnFGuyNzzKpv4rKGf3yF8sZERERkWUZlGRWNnJpyAfdM1JPkgmYVsoIACI6tUVomxY67ecu3cDBY2dN6pOIiIjIHAxKMivb6FPVh7W1dU1/DvVGhL8zPOx1D1naeCndpJFHkUhU8WjmorVG90dERERkLgYlmZVt9KnqgyOZ/5KIRRjWSnc082Z6IS6lGn/6DwBMHNkfHm665ZE27tyPhMRUk/okIiIiqi5Ol9eyiqbMN14ybcrc1sYaUZOH67RrNFr88fcGk/okIiIiqi5u/Kllg1q4wUqs5/QfE5NMAHji0dGQSHT/KBcs24TCIuOLvRMRERFVl1mSzPvT4vc/SktLkZubi+vXr2Pu3LnmeEWD4WJnhT56Tv85fDsb6rwSk/r08/XEiAE9ddrTMrKwevMek/okIiIiqg6Tk8wffvgBLVu2hLW1NaysrMpt9rGxsYGLiwtatmyJN954w5zxNggj9KzL1ArA1iumj2Y+U8kGIJYzIiIiotpmUpK5fPlyvPTSS7h27RpKS0sr3PTj5eWFF154wdwx13sj21RQyqgaU+Y9wkMR0jJQp/3U+as4cuqCyf0SERERmcKkJPOXX36BSCTC559/jszMTHz//fcQi8W4e/cu0tPT8ffff0Mul6O0tBRvv/22uWOu94I87NBKbqfTvu1Khkmn/wD/lDOaznJGREREVDeYlGSeOXMGLVu2xJtvvglnZ2f06NEDWq0We/fuhaurKyZPnoyVK1dCrVbjiy++MHfMDcLINvrPMr+qLjC5z8mjB8DNxUmnfd22vUhKUZvcLxEREZGxTEoyc3Jy0KZNm7Jft2rVCiKRCKdPny5r6927Nzp06ICtW7dWO8iG6H4poyAPW7zS0xe7n2wH1f8i0NbbweQ+7e1sMX3iMJ320lIN/vx7o8n9EhERUd2WnpmNnFzTam7XFJOSTBcXFxQWFpb92tbWFj4+Prh06VK5+5o3b447d+5UL8IGqpu/My693hnXZodh7sgg9GvuCmur6m/2f2raGIjFuv38uWwjiotN271OREREdU9BYRHWbonFlGfeQ/Nu47FkzTZLh1SOSVlNaGgo4uLiUFDw79Ru69atcfTo0XI7mZOSkmBjY1P9KBsgK4kIrTztIRLp1sysjgA/bwzt102nPVWdgbVbY836LiIiIqpdGo0GMQdP4Jm35iCo6zg89tKH2LzrIEpKSrF8/U5Lh1eOSUnmI488gvT0dPTv3x/79u0DAAwePBgqlQrvvvsucnJysHjxYhw8eBAtW7Y0a8BUtYrKGf20cA3LGREREdUzgiDg9PmrePuTH9Gq12SMmvEGlqzehpy88tPjx89cxvVbCRaKUpdJSWZUVBRGjhyJuLi4smLrTz/9NORyOebMmQNXV1fMmDEDIpEIr776qlkDpqr16dYJrZoH6LSfOHsZu/Yds0BEREREZKybdxLxxY9/IWxIFHqNeRo/LliF5NS0Sp9ZuWF3LUVXNYOSzM8//xzJycllv5ZIJFi/fj1Wr16NKVOmAACcnJwQExOD3r17w9raGgqFAl9//TUmT55cM5FThSorZ/Txt39yNJOIiKiOUqdn4bfF69B/4gto328q/m/un7h6w/D9Lcs37Koz3+dFggGRiMViWFlZYfjw4XjiiScwdOhQvZtLqsvPzw9KpRIKhQIJCXVnuLc+yi8oRLu+jyJVnaFzbdnPH2P4gB4WiIqIiIgelpdfgM27DmL5hl3Yc+A4Sks1RvcRFKDApFEDMGn0ADRv6lcDUf7L0HzNoCRz4sSJ2LRpE4qKiiASieDj44OoqCjMmjULgYG6p8zUdNBkmJ8Wrsab//eDTnvbVoE4uOG3GvlBgYiIiKpWWqrBnoPHsWL9LmzadQB5+YVVP/QQuYcbJozoi0mjBqBz+1Zm30xcEbMmmQCQmZmJZcuWYeHChThy5AiAeyOckZGRePzxxzF+/HhYW1vXStANWWpuMVacVWPpqVS8198fw/Scc26owqJidOg/Dcpklc61Rd+9j7HDIqsRKRERERlDEAQcO30JKzbswurNMVCnZxrdh4O9LUYO7IXJowcgsntnWFlJzB9oFcyeZD7o2rVrWLhwIZYsWYLbt29DJBLB1dUV06ZNw+OPP4727dvXaNANTYlGi79Pq7D0tAq7rmdA88/JklM7yrF4Sqtq9f3H0g145X9zddpbBgXgyJY/IJHU/hcnERFRY3I1/g5WbNiFlRt2I/5OotHPW1lJ0L9XF0weNQDD+neHg73u0dS1qUaTzAfFxsZi4cKFWL16NXJzcyESidC5c2c88cQTeOSRR+DkpHvMYXWDbmi0WgH+nx2FMru4XLuDtRgp/42Ag7XpiWBxcQk6DXoMtxOSda799tV/MGXMQJP7JiIiIv2SUtRYtWkPVm7cjVPnr5rUR3jHEEwZPQBjhkZC7uFq3gCrodaSzPsKCgqwevVqLFq0CDExMdBoNHBwcMDEiRPx559/mjXohuiNTfH4er9Sp/3vR1piSgfPavX916qteO5t3TPkgwIUOL59oUWG2omIiBqarJxcbNi+Hys27MK+uNPQarVG9xEc5I/JowZg4sj+aObvW+m9WkFAanEJvG2qt1zRWLWeZD4oLS0N8+bNw5w5c1BaWgqNxrBdUo05yTypzEXn707ptI9q4471M0Kq1XdpqQZhQ6JwQ0+B1h8/m43H9Jx3TkRERFUrKirGjn1HsWL9LmzdcwhFJhzh7OMlw4QR/TB51AC0b9O8yg08N/ILsVCpxsJEFfxsrXGwa/XyBGMZmq9ZmfOlSqUSf//9N1atWoVjx45BEAR4eXmZ8xUNVkdfB7SU2+GKqqBc+9YrGUjPL4G7vdTkvq2sJPjPSzPw+Guf6Fyb88MiTBk9ENbWpvdPRETUmGi1Whw8ehbLN+zC+m17kZmda3Qfzo4OGD2kNyaPHoCe4aFV7pHIKdVgVUo6opUq7MvIKWu/U1iMK3kFaOlg2XWa+lQ7yczKysKqVauwZMkS7Nu3D1qtFhKJBMOHD8fjjz+OESNGmCPOBk8kEuHRDnK8v7N8wdUSjYDV59R4sqtPtfofP7wvvpy/GJev3y7XfkeZgkUrt+CJqaOr1T8REVFDJggCzl++geUbdmHVxj16K7dUxVoqxeC+EZg8qj8G9+0G2yqmubWCgH0ZOVigVGFVSjryNfqn3xcq1fg0uInR8dQ0k6bLi4uLsWnTJixZsgRbtmxBcXExBEFAixYtMGvWLMyYMQPe3t5GB9OYp8sB4Jq6AMFfHtdpjwx0QczTpu3Yf9C6rXsx/cUPdNp9vWQ4s2dJlV/sREREjc3thGSs2LALKzbs0hmoMYRIJELP8FBMGjUAo4f0hptL1Ruib+YXYmGiGgsT1bhVUFTl/QobKW736QhJHauTadRIZkxMDJYsWYLVq1cjOzsbgiDA3t4e06dPx+OPP45evXpVO/DGrIXMDmF+jjieUH7Yfe/NLCiziqBwsalW/6MG90L71s1x9tL1cu2JKWr8+fcGPBc1oVr9ExERNQTq9Cys2xqL5Rt2Ie7EeZP6aN+6OSaNHoAJw/tB4SM3+Lmxp65iXaruaX2VURaVYHdaFgbJXI2MsmYZlGTOnj0by5YtQ2JiYtl5mOHh4Xj88ccxZcoUo8oUUeUe7eCpk2QKArD8jAqv9a7eMVFisRjvvjITk59+V+faVz8txYxJwy1ee4uIiMgS8vILsGX3ISzfsAu79x8z6WjHAD9vTBzZH5NHDUCrFk1NisPTiD0SUpEII+WumKmQo6+7s0nvq0kGJZlff/01AEAmk2H69OmYNWsWQkJqdydTYzE5VIbXN8fj4UUMS09XP8kEgKH9uiEstBWOn7lcrl2VloFfF6/Dq089Uu13EBER1QclJaWIOXQCKzfsxsad+0062tHdzRnjhkZi0ugBiOjUttpHO85UyPBrQmql93R0ssdMhRyP+HhAVoc37hqUZA4ZMgSPP/44Ro0aBam07n4yDYGvs829NZg3ssq1n1Dm4qoqH8Fy+2r1LxKJ8N4rszBm5ps61779bRkef2QUnJ0cqvUOIiKiukoQBBw5dQErN+zGmi2xJh3taGdrgxEDe2DiyAHo3zPMoAot+RoNjmXloU8VI45dXRzR0sEWV/LKJ7xyaytM85Fhhq8Moc714/u0QUnmli1bajoOesCjHTx1kkwA+Pu0Cu8PDKh2//16hqFbWDscPn6uXHt6RjZ+Wrgab73wWLXfQUREVJdcvnYLyzfswsqNu/WeglcViUSM/j27YOLI/hgxsCccDSgZJAgCDmXmIlqpwvLkNBRpBSRFdoK7dcXpl0gkQpSvHO9cuwsrkQjD5a6YqZBhqMwV1mKx0XFbUo0UYzdVY99dfl9Gfgm8Pj6CEk35P5pgmR0uv9G52kPxAHDgyGkMnfqqTruLkwPOxf5t0O43IiKiuiwhMRWrNu/Big27cO7SDZP6CO8Ygkkj+2Pc8EjIPdwMfi42PRtPXbiJaw9Nwf/QOgDP+1degSexsBjLk9Mw1UcGT5u6N4NskWLsZB5u9lIMa+mO9RfTyrVfVRfcOxnIr/oJYM+uHRDZvRNiD50s156Vk4cf/lyJ/746q9rvICIiqm3pmdlYt20vVm7YjYPHzsKUsTRjjnasiK+NVCfBBIBopbrKJNPX1hqvNq1efey6gElmHfVIB7lOkgnc2wBkjiQTAN57ZZZOkgkA86NX4dkZ4yFzdzHLe4iIiGpSfkEhtu45hBUbdmPnvqMoKSk1ug9jj3YEUJbA6rs32MEO3V0dcSizfMWY49l5OJ+Tj7ZO1dtjUR8wyayjRrZ2h4O1GHnF5av7LzujwhfDmkEirv6UeddOIRgU2RU7Yo+Ua8/NK8C3v/2Nj996ptrvICIiqgmlpRrEHDyBlRt3YePOA8jNK6j6oYe4Ojti9JA+mDSyP3qEt6/yaMf7lIXFsBGL4CG1qjQZjfKV6ySZALBJlckkkyzH3lqCsSEyLD5VvoxBYnYx9t/MQmSQq1ne894rM3WSTAD49a91eHHWJHjJ3c3yHiIiouoSBAFHT13Eyo27sXpzjEk7w22spRjarzsmjR6AQb3DYWPgaXeFGi3Wp2ZggVKFnWlZ+KC5H/4bpKj0mUne7nj58m0UaLVws5LgER8PzFTI0bme7A6vLpOSzEWLFiEoKAg9evSo9L4NGzbgxIkT+PDDD00KrrF7tINcJ8kE7k2ZmyvJ7Ni2JUYM7IlNOw+Uay8oLMJ/v/gFv375jlneQ0REZKrL125hxcbdWLlxN27dTTL6ebFYjD7dOmLSqAEYOagnXJwcDXpOEAQcy8rDgkQVliWlIfOBAu3RShXeC/StdCTTRWqFj1v4wd/WGiM93WBTz3aHV5dJu8vFYjGmT5+OhQsXVnrfhAkTsG3bNuTm6g4V68Pd5eWVaLTw+fgI0vL/XVvi42SNp7p64wMzlDK678KVeHQb8YTexdGb//oGvbt1NNu7iIiIDHE3MQWrNu3Byo27Td4Z3rl9K0wY0Q8TRvSDt6eHwc8lFRXjr0Q1opUqXMqruED7vvDW6OVW907aqWlm3V3+119/oaSkpFzb9evX8eeff1b4TFZWFnbv3g1ra8OGoUmXVCLGpPZyLD2digntZHi0gyf6BLqYZT3mg0JaBmLCiL5YuXGPzrWX/zcXcZt+N3g6gYiIyFTq9Cys37YXKzbuxqFjZ03qo3mzJpg0sj8mjuqP5k0NPymvSKvFhtQMRCvV2KbOhLbqR7BAqW6USaahDBrJfOWVV/Ddd98ZXZ9REATMmDEDCxYsMOh+jmTqSssrgaONBDZWNTvEnpisQufBM/QunH735Si8/eKMGn0/ERE1Trl5Bdiy+yBWbNxt8pnh3p4eGD+8LyaPHoAOIcEG5yuCIOBkdj4WKFX4OzkN6UbuSne2kiC1b6dGNw1u1pHMDz/8ENnZ2WXTqQsXLkRQUBB69uyp936RSARbW1u0aNECzz77rAnh030eDrVThNXXW47/vjoLb338o861r35aggkjjfuJkIiIqCLFxSXYtf8YVm3ajc27DiG/wPgzw12cHDBqcG9MHj0APcNDDd4ZDgApRSVYnHRvOvx8rvG70ls62CLKV47pvrJGl2Aaw+Q1mdOmTcOiRYvMGgxHMi1Lo9EgctyzOH3hms61vj06Y330l2Y5bYiIiBofrVaLQ8fOYsXG3Vi3dS8ysnKM7uP+zvAJI/thcGQEbI1YylWs1WKTKhPRShW2qDOhMTL7cbaSYIq3B6IUMkS4ODbq74c1euKPVmvISgWqbyQSCeZ9/Dr6jn9O58/4Xi2y3Zg0aoCFoiMiovpGEAScuXANKzftwaqNu5GYoja6D7FYjL7dO2HiqHtnhhu6M/y+09l5WKBUYUlSGtKMnA4XARjg4YyZCjnGeLrDTsJRS2NUu06mSqVCXl5epYlnYGBgdV9DtaRTu5Z4atpo/Lxorc61tz+Zj4F9uvJccyIiqtT1WwlYtXE3VmzcjWvxd03qo0uHNpg0qj/GDYuEp8y4ms2q4hIsSVQjOlGNMzn5Rr+7ub0NZirkmO4jQxM7G6Ofp3tMTjLnzp2LL774AqmpunUcHyQSiVBaavzxTmQ5/331cazfvh9JD/3EqUrLwAdf/YZ5//eahSIjIqK6KilFjdWbY7Bq0x6cOHvZpD5aBgVg8ugBGD+8LwIDKi90/rASrRZb1JmIVqqxSZWJUiNXAzpJxJjk7YEohRw9XBv3dLi5mJRkRkdH4/XXXwcA2NjYQCaTwcqKhwfVNkEQcCYpD6E+Dmb9y+Ds5IAv3nsB01/8QOfan39vxKNjB6NrpxCzvY+IiOqn9MxsrN+2D6s27cH+I6f11luuip+PJ8aP6ItJIwegXesgo7+fnc3JR7RShcVJaqiKjR/U6u/ujCiFHGM93eBgZfjmIaqaSZnhDz/8AJFIhO+++w5PPfUUpNLa2QFN9+QVa/D3aRV+ikvCSWUuDj0Xim4B5q3TNXpIb73nmgPAy//9BvvX/QKplD9YEBE1Nnn5Bdi65zBWbNiNXfuPosTIdY4A4O7mjLFDIzFxZH9069wWYiN3aKuLS/B3UhoWKFU4ZcJ0eKCdDaIUcjzmK0MAp8NrjElZwsWLF9GtWzc8//zz5o6HKpGeX4IPdt7BopMpyCr8t47Y/MNJZk8yRSIRvvngFXQZEoWCwqJy1y5ciceP0avwypNTzPpOIiKqm4qLS7D7wPF/Sg4dRF6+8SWHHOxtMWJAT0wc1R/9eoSZPFBRotWi1YGzRm/icbg/He4rQy83J06H1wKT/oQdHBwgk8nMHQtVwU4qxuJTqeUSTABYcVaFuSMDITNzTc0AP2+8/eIMvP/lrzrXPvtuIcYNi4S/wtus7yQiorpBo9Hg0LFzWLlpN9Zt24eMzGyj+5BKrTCgVzgmjeqPof26wcHertpxScVijPF0wx9KlUH393FzwkyFHOO93OHI6fBaZVKSGRkZiQMHDqCgoAB2dtX/giHD2EkliOrshbkHlOXaizUCFhxPwew+5i+W/uKsiVi+ficuXr1Zrj2/oBCvf/AdVvz6CX8aJCJqIARBwMlzV7By426s2RKrswHUECKRCD3DQzFhZD+MGdIH7q7mP3YxSiGvNMlsameDGb4yPOYrQ6C9rdnfT4YxqRj71atXER4ejuHDh+PHH3+Eq6urWYJhMfaqXVXlo+VXJ3TagzxscfWNMIjNfK45AMSdPI+Bk17Ue23xjx9i9ODeZn8nERHVnsvXbmHlpj1YvWkPbtxWVv2AHp3atcSEEf0wfnhf+HrLjX6+VCtgZ1oWbuQX4oWAymfJBEFA8IEzuJ7/73Iue4kYE7zcMVMhR283J4g5AFJjarQY+88//4zw8HAsW7YMq1atQosWLeDm5qZ3REskEmHv3r2mvIb0CJbbY0BzV+y6nlmu/UZaIXZey8Tglm5mf2dEp7aImjwc0cs361x786Pv0a9HGJwc7c3+XiIiqjm3E5KxatMerNq0G+cvx5vUR4vAJpg0sj/Gj+iHFs2amNTHpdwCRCtV+CtJjaSiEtiKRZjuK4NLJWs2RSIRonzleO96Anr9Mx0+wcsdTpwOr1NMPlbS4BeIRNBoDDvsniOZhllzXo3xf13SaR/dxgPrZrSpkXemZ2aj86AZUKdn6lx7PmoCPn+Pm8CIiOq6VHU61myJxcqNe3D01AWT+lB4yzF+RD9MGtkf7ds0r9aSqXm3k/HK5ds67b+2aYYnm3hW+qyquARZJRo0d+B0eG2r0ZHMmJgYkwOj6hvV2gO+ztZIzC4u177xUhruZBTC3838f+HcXZ3x6TvP4qnZn+lc+2nRGkwZMxAd2gab/b1ERFQ9GVk52LD9Xi3LfXGnTToa2t3NGWOG9MHEkf3RPayd0SWHKjLAQ/96zQWJqiqTTLm1FHJrllCsy0xKMvv06WPuOMgIVhIRngz3xoe77pRr1wrAb0eT8X+Dm9bIe6eMGYgla7Zh7+FT5d+r1eK5d77AnlXzYWtjXSPvJiIiw+XlF2DL7kNYuXGPybUsHR3sMHJgT0wY2R99u3eukdrIIY726OLsgGPZeeXaD2fm4kpeAVo6cHNxfVbtH0VKSkpw9OhRrF69GgcPHgQA3Llzp4qnqLqeDPeGRM+f3u/HklGiMf6nVEOIRCJ88+ErsNZTfP/cpRt4+5Mfa+S9RERUtaKiYmzaeQBRL3+EwK7jMOvVj7F1zyGjEkwbaylGDuqFRd+9j/gja/HrV//BoD5djU4ws0pK8dvdVCQWFld570yF7iYhhY0UtwqK9NxN9YnJP5aUlpbio48+wg8//ICsrCwAwNSpU9GjRw9Mnz4d+fn5WLZsGYKCgswWLP1L4WKDUa09sPZCWrn25JwSrLuQhontjd/ZZ4jgQH+8/syj+Oz7hTrX/li6Ad3D2mHSqAE18m4iIiqvtFSDvYdPYtXmPdi4fT+ycvKqfughEokYkd06YcLI/hg5qCdcnBxNikUrCIhJz8YCpQprUjJQoNXisxZN8Hagb6XPTfHxwCuXb0MkAsZ6umOmQob+Hi6QcHd4vWdSkllaWooRI0Zg586dkEqlCAsLw7Fjx8quZ2Zm4ty5c+jVqxdOnToFLy8vswVM/3qum49OkgkAP8Ul1ViSCQCvPfMo1m/fp1M7EwBeeu9rhIYEo2WQf429n4ioMdNqtTh0/BxWb9qDddv26d2QaYhuYe0wYXhfjB0WCbmH6ZVJrucVYmGiCgsT1bj70MhldKIKbzXzqXRzkJvUChs7BSPcxRGuPK64QTHpT/PHH3/Ejh07MHjwYCxYsADe3t7lFgHHxcXhmWeewV9//YWvv/4aX3zxhdkCpn/1C3JFC5kdrqkLyrXH3MjCpZR8tPaqmbJCtjbWWPT9B+gz9mmdo8Xy8gvx2IsfIGb1fNjbcccfEZE5CIKAE2cvY9WmPVi7JRaJJhRJB4AOIS0wYWR/jBsWiSa+pg8A5ZRqsDI5DdGJauzPyKnwvit5hYjLykU3V6dK+xskczU5Fqq7TCph1LFjRyQkJODmzZtwdLw3rC4WizFt2jQsWrQIwL21ms2aNYOrqyvOnz9vUL8sYWS8b/Yl4PXNekYUe/hi3qiaXaqwYsMuPP7aJ3qvTZswBD99/laNvp+IqCETBAEXrsRj1aY9WL05BrfuJpnUT3CQPyaO6FetWpbAvenwvenZiE5UY1VKOvINXP//lJ8nfglpZvJ7qe6p0RJGV69exeDBg8sSTH2kUinCw8OxY8cOU15BBooK88K722+jsLT8X/aFJ1Lw6ZCmcLCuucK0k0YNwMFjZ/Hn3xt1ri1etQ09uoRi2vghNfZ+IqKG6Gr8HazZHINVm2Jw5YZuDUlD+Cu8MH54P0wY0Q/tWgdVq5blzfxCLExUY2Gi2qTNOPEFhRAEgUcQN0ImJZlSqRSZmZlV3peWlgapnp3IZD7u9lJMDpVh4YnUcu1ZhRosO63C4+GVH81VXXPeewHHT1/C2UvXda699v636NSuJdoE8ydYIqLK3LqbhNWbY7B68x6cu3TDpD48ZW4YOzQSE0b2Q9eOIdVK6nJLNViVko5opQp7K5kOr4iXtRTTfD0wUyFHCE+Ea7RMSjI7dOiAo0eP4u7du2jSRP/Qe3x8PI4dO4bw8PBqBUhVezbCRyfJBID5cUmY1cWrRn96vL8+s9fop5CTl1/uWkFhEaa98D72rf0Fjqx1RkRUjjJJhTVbYrB6cwxOnL1sUh9urs4YPbgXJozoh57hoZBITJ+9EgQB+zNysECpwsqUdOQZWQ5PKhJhlKcronzlGCJzhZWYI5eNnUlJ5nPPPYcpU6Zg9OjRWLBgAUJDQ8tdP3fuHB577DEUFRXhiSeeMEugVLHwJk7opHDESWVuufaTylwcS8hFeJPKF1xXV1BTBeZ//iamv/iBzrVr8Xfx8n+/xu9fv8upEiJq9FJU6Vi3dS9Wb4nB4ePnTOrDycEeIwb2wPgR/dC3e2dYV/PUm1sFRVikvLc7PN6E6fBOzvaI8pXjUR8PePAEHnqASUnmpEmTsGfPHvz666/o1KkTXFxcIBKJsG3bNvj7+0OpVEIQBEyZMgXTpk0zd8z0EJFIhGcjfPDk6ms61/bFZ9V4kgkAY4b2wTOPjcXPi9bqXFuxYTd6hIdi1pSRNR4HEVFdo07Pwobte7FmSyz2Hzlj0rGOtjbWGNqvG8aP6IdBfbrCztamWjHllWqwJjUd0Uo19qRnG/283NoK03xkiFLI0d6J0+Gkn0m7y++Ljo7GnDlzcOXKlXLt/v7+ePXVV/HSSy8ZNXrF3eWmyyvWQPHJEWQVauBmZ4VZYV54OsIHLWS1N01dVFSMwY+8rHfax8Zait0rf0RoSItai4eIyFLSM7Oxccd+rN0Si9jDJ6Ex4SQ2qdQKA3qFY/zwSAzr3wNO1VzbKAgCDmbmIlqpworkNOQYGZOVSIQRclfMVMgxVOYCqZnOL6f6x9B8rVpJ5n0pKSm4c+cONBoNfHx8EBAQYFI/TDKr57uDSrjYWmFSexnspDW3q7wytxOS0XPUk8jMztW5FhSgwN51P5t8mgQRUV2WlZOLzbsOYvXmGMQcPGHSeeESiRh9u3fGuOF9MWJgT7i5VH8m6k5BEf5KVCM6UYXr+cZPh7d3tMdMhQxTfWWQczqcUMtJprkwyWwYNu86iCnPvKf32pghfbDo+/e5PpOIGoSc3Hxs3XMIqzfHYNe+YyguKTG6D5FIhF5dO2D88EiMHNQbcg/XasdVpNVidXI6FiSqsDstG8Z+o5dJrTDVR4YohQwdnB2qHQ81LDVaJxMAiouLsWzZMkRERCA4OBgAsH79esyePRt3795F165dMXfuXHTs2NHUV1A9NXxAD7z0xGR89/tynWvrtu3FL3+txTOPjbNAZERE1ZebV4BtMYexdmssdsQeQWFRcdUP6dG1UwgmjOiHMUP6wNvTw6wxFmsFPHnxpsEF0wFAIgKGy1wRpZBjuNwV1pwOp2oyKclMT09Hz549ceXKFfz2228IDg7GtWvXMGnSJJT881Pcvn37EBkZidOnT6NZM9ZJbGw+eP0JHDl5HkdOXtC59p/PfkKr5gGI7N7ZApERERkvL78A22PisGZLLLbHxpmcWHZu3wpjh0VW+1jHqjhZSTDeyx1/JVZ9/GRbRzvMVMgx1UcGLxtOh5P5mJRkfvnll7h8+TIiIiLQoUMHAMDPP/+MkpISTJ8+Hd9//z3++usvvPjii/jss8/w66+/mjNmqgekUitEf/s/9Bj9JNIzyu9cLCkpxZRn3sOmv75BWGhrC0VIRFS5vPwC7Ig9UpZYFhQav54RAELbtChLLJv5+5o5yorN9JVVmGS6S63wqI8Honzl6ORszyVMVCNMWpPZtm1bpKen4+bNm7CxuVdGoXnz5rh58yYuXbpUNn3esWNHZGRk4NatWwb1yzWZDc+OvUcw/vG39V5zc3XGjr/noVWLprUbFBFRBfILCrEj9gjWbo3Ftpg45BcUmtRPSMtAjBsWibHDIqt1XviDBEHA0aw8RCeqYC0SYV7rppXerxUEBO47jduF90ZdJSJgiMwVM33lGOHpChtOh5OJanRN5s2bNzF48OCyBPP69euIj49HQEBAWYIJAC1atMCGDRtMeQXVAFVuMVxsrWBtVXv/sAzq0xWzn5uGL+cv1rmWkZmNUVGzsXP59wjwq9njL4mIKnJ/xHLt1lhsjz1icmIZHOSP8cP6YtzwvmjV3LQqK/okFhaX7Q6/nHcvNgeJGJ+0aAJHq4oriYhFIsxQyLEqOf3edLivB3xsrM0WF1FVTEoybW1tUVr6b2mGbdu2AQD69etX7j61Wl2WiJLlJGYX4au9SvxyJAnzRgXhiRo+z/xh770yE3eVKVi2fqfOtaQUNUbPeAPbl30HL7l7rcZFRI1Xbl4Btscextote7Fj7xGTp8KbN2uCcf9MhbcJblYj085f3krCt7eTy7XlabRYmXIveazMu4G++CBIwelwsgiTkszg4GDExcUhPz8f9vb2WL58OUQiEYYPH152z9WrV3HgwAGEhYWZLVgyzs30QsyJvYsFx1NQrLm3KuLz2LuI6uwFK0nt/YMjFosx//M3kZWTh617Dulcv3FbiTEzZ2Pr0nlwdWYNTSKqGTm5+dgWcxjrtu2t1q7woKZ+ZYllSMvAGk/gonxlOkkmAEQrVVUmmdwhTpZkUpL56KOP4uWXX0bnzp3h4eGBQ4cOwcfHpyzJ/PTTTzFv3jxoNBpERUWZM14ywsTFl3DiofPMb6QVYvlZFaZ29KzVWKRSKyz87n8YN+stHDh6Ruf6+cvxmPDE21gf/SUc7GvvlCIiatiyc/L+KTe0F7v2HTU5sQz098W44X0xdmgk2rUOqtWRwVBnB3RwssfpnPxy7fsycnAjvxBB9ra1FguRMUxKMl944QWcOXMGf/75JwDA3d0dS5YsKZsaX7BgAVQqFV555RU89dRT5ouWjPJmHz9MXqp7xOOne+7ikVA5xOLanT6xs7XB8l8+wfBpr+L0Bd1z1o+cvIDpL3yAZT9/DGueKkFEJsrIysGW3Qexbus+7Dlw3KQC6QDQrIlv2a7w9m2amzWxLNZqsUmViYVKFX4JaQbvKtZKzlTI8fLl22W/drGSYIq3ByScBqc6rFon/ty9exfJyclo27Yt7Oz+HX1aunQpQkJCEBoaalR/3F1uXhqtgJBvTuCKqkDn2prprTG2rcwCUQGqtEwMfuQlXIu/q/f6+OF98cc370IisczRmERU/6jSMrF510Gs37YXsYdPorRUY1I/gf6+GDM0EmOG9kaHkGCzJpaCIOB0Tj6ilSosSUpD2j/HTn4Z7I83mvlU+qy6uARN9p5CbzdnzFTIMdrTDXYSToWTZfBYSQIALDyRgqgVV3XaOysccezFDhZbDJ6QmIqBk19EQlKq3uuzHhmJbz96lYvViahCyalp2LhjP9Zv34f9R85AqzX8dJsHBQUoMGZoH4wdav4RSwBILSrB0iQ1FijVOJubr3M9xNEO57q3q/K9GSWlcJOafFAfkdnU+LGSAJCWloY//vgDsbGxuHv3LgYPHoyvvvoKn3zyCdq3b4+RI0dWp3syg0c7yPHBztu4lVF+5+QJZS52XM3E4JZuFonLz9cT6xd+icFTXoY6PVPn+p9/b4SbixM+eOPJ2g+OiOqsu4kp/ySW+3H4+DmYOk7SvFkTjB3aB2OH9kHbVuZfY1mi1WKLOhMLlGpsVmWitJI4L+QW4ER2HsJcKt/4yAST6huTv2K3b9+OqVOnIiMjA4IgQCQSlZ1Tvnz5cvzvf//Dq6++iq+++spswZLxpBIx3uzjh+fW3dC59vGeOxZLMgEgONAfa/+cg+HTXkN2bp7O9a9/XgpXFye88uQUC0RHRHXF1fg72LB9Pzbu2I+T566Y3E9wkP8/iWXNlRs6k52H6EQ1liSpoSourfqBfyxQqqpMMonqG5OSzAsXLmDs2LHQarV44YUXMHjwYIwYMaLs+hNPPIH3338fc+fORZ8+fTiiaWEzw7zxf7vvIimn/K7KA7eysS8+C70DXSwUGdChbTCW//oJxs58U++uz//O+QU21lI8O2O8BaIjIksQBAHnLt3Ahh37sH7bPly+frvqhyoQ0jIQY4b0xpghfWrsdDF1cQmWJqVhgVKlswPcEIF2NmjBHeLUAJmUZH788ccoKirChg0bytXGvO+ll15CREQEunXrhu+//55JpoXZSsV4o7cCr2++qXPtkz130DuwnQWi+lfP8FD89cMHeOTZ/+pdrP/m//2A2wnJ+OTtZ7gZiKiB0mq1OHr6YtmI5a27SSb31SGkBUYP6YPRQ3qb7UjHh5VotdimzsICpQqbVJkoMXLa3kEixiRvD8xUyNDT1Ynrz6lBMinJjImJQXh4uN4E877w8HD06NEDFy5cMDk4Mp+nI3zwacxdpOWXn77ZcS0Tx+7moEsTJwtFds+Qvt3wyxdv44nXP9W7xurHBatwR5mC37/+D+zt+BM/UUNQXFyCfXGnsGnXQWzedRDJqWkm9xUW2hpjhvbB6MG90bRJ5Tu1q+N8Tj4WKFVYnKRGqhHT4ff1dXfGDF8Zxnu5V3okJFFDYFKSmZmZCYVCUeV9Hh4eOHbsmCmvIDNzsJbglZ4K/HeH7rTTJ3vuYt2MNhaIqrxJowYgMysHr3/4nd7rG3fsx/Bpr2L5L5/AU8YjKInqo5zcfOzadxQbd+7H9pgjetdjG0IkEiGic1uMGdIbowb1hp9vzR0wkV5ciqVJakQnqnEi2/h4m9rZIMpXhsd8ZWjGaXFqRExKMn19fXHu3Lkq7zt79ix8fX1NeQXVgBe6++LLvQnILio/Jb3+YhrOJeWhnY+DhSL711PTx6KwqATvfv6T3uvHz1xGvwnPY9Xvn6NV84Bajo6ITKFKy8DmXYewadcBxB48gaJi04qjW1lJ0CeiI0YN7oURA3vW6A+bpVoBO9LuTYdvSM1AsZHT4fYSMSZ6uSNKIUdvNyeIOR1OjZBJSebw4cMxf/58fP/993jxxRf13jN37lzcvHkTzz77bLUCJPNxtbPCC9198WmMbhH0z2LvYukjrSwQla6XnpgEhY8MT8/+XO83o9sJyRg46QUs+fEj9O7W0QIRElFVbt5JxKadB7Bp10HEnThvcg1LWxtr9O/VBaMH98aQft3g5lKzS3su5uYjWqnGX4lqJJuQDPd2c8JMhRzjvdzhxOlwauRMKsaenJyM0NBQqNVqjBo1CpGRkXj11VfRr18/PProo9iyZQvWrl0LFxcXnD59Gv7+/gb1y2LsNU+VW4ymnx9Dfkn5f/DFIuDKG2FoLqs754YfPnEOU555D+kZ2XqvS6VW+OHTN/Do2MG1HBkRPUyr1eLE2cvYsvsQNu86iEvXbpncl5ODPYb0i8CoQb0xoHc4HB1q9t+ljJJSLEtKQ3SiCkezjJ8O97e1xgxfOWYoZDxHnBqFGj/x5+zZsxg/fjxu3LgBkUhUVisTuFd+wsfHB6tWrUK3bt3MHjRVz6sbb+DbA4k67Y938cLvE4ItEFHFrt9KwITH38aN28oK73nnxRl456UZ3J1JVMsKi4oRe+gEtuw+hK17Dldr447M3RXD+nfHyEE90bd7Z9hUcZa3OdwpKMKbV+9gXWoGirTGfSu0E4sxwdsdUb4yRLo7czqcGpVaOVaytLQUa9asQUxMDO7cuQONRgMfHx/06dMHkydPLneeuTmDpupRZhUhcM4xFGvK/9FbiUW48WYY/N3q1k/i6vQsPPLse4g7cb7Cex4ZMxA/fDob1tbSWoyMqPFRp2dhe+xhbN51CHsOHENefqHJfTVt4oMRA3ti5KBe6NqxTa2XKMsqKYV37EkUGpFg9nR1QpRChone7nC24gk81DjVaJL53XffoX379oiMjKxOjDqYZNaeZ9Zcwy9HknXaX+jug+9HN7dARJUrLCrGs2/NwapNeyq8p1fXDlgy/6MaX7NF1JgIgoArN+5gW8xhbN1zuFrrKwGgfevmGDmoJ0YM7ImQloEWn4GYevY6liZVPgLrZ2uNGb4yzPCVo4VD3fohnMgSavTs8o8//hju7u64fPmyyQGSZb0V2QS/H0uG5oHvFT5O1mglt7dcUJWwtbHGH9+8iwA/b3z981K99+w/chp9xz2LX758B107hdRyhEQNR3FxCQ4eO3svsdx9GDfv6i6vMZRYLEb3sHYYMfBeYhng523GSCumEQTklmrgUsV531G+cr1Jpq1YhLGe7pipkKOfhzMknA4nMppJSWZubi569epl7lioFjVzt8XUDp5YdDIVAW42eDuyCaI6e8FWKrZ0aBUSi8X44I0n0bSJL1753zfQaHRHU27cVmLQlJfw6lNT8J+Xojh9TmQgVVomdu47gq27D2P3/mPIyTP+eMT77O1s0b9XFwwf0B2DI7tB5l57R9deyyvEwkQVFiWqMcjDBb+3Daz0/n4ezvCztUZC4b1jbSNcHDFTIcckb3e4VpGgElHlTJouHz9+PGJjY3Hq1CmDd44bgtPlteuqKh+H7+Tg0Q5ySCV1N7nUZ/f+Y5j+wgeVfiNs1zoIv375Dtq2CqrFyIjqB0EQcOFKPLbFxGHrnsM4dvqi3tO2DOUld8ew/t0xrH93RHbvDNta2LjzoGVJafjxTgoOZOaUtTlJxEiK7ASHKkoJzb2VhJTiEkT5ytHKse5U2CCqq2p0Tea+ffvw1FNPISkpCSNGjEBoaCjc3d0hFutPVGbNmmXWoIkA4MKVeIx//G0ok1UV3iOVWuG9V2bh5Scm8dxzavSyc/IQe/gkdsQewc69R5CYoq5Wf61bNMXwAT0wrH93dG7fqsLvAbXhxUu38MOdFJ32Re0CMd1XboGIiBquGk0yxWJxWdkiAFUu3NZoNJVev49JJhkrKUWNaS98gKOnLlR6X9dOIfjli3cQ1LTq41CJGgpBEHDl+m1s33sEO2KP4NDxsygtNezfY30kEjF6dAnFkL4RGD6gBwID6s7fpxNZeQiL061A0c/dGbu7tLZAREQNV41u/HnssccsviOQCAB8vGTYsWwevv1tOT6ZtwAlJaV67zty8gK6j3wCn77zLGY9MpJfv9Rg5eUXYO/hU9jxT2J5N1F3dM8Ybq7OGNynK4b0i0D/XuFwdXY0U6SGK9ZqYV3FKGknZ3u0dbTD+dyCcu170rNxq6AITe1sajJEItKjWnUyzY0jmVQd5y5dx5NvfIYLV+IrvW9Ary748bPZ8PXmFBrVf1qtFucvx2PX/mPYc+AYDh8/j+IS084Gv69V8wAM6dcNQ/t1R3iHNrCywPGIWkHAvowcRCtVWJ+agau9QiGvYiPfN7eS8PqVOwAAa5EIozzdEKWQYbCHK6zE/MGSyFxqpRi7uTHJrHsePMmpPigqKsan3y3Et78tq7SWn6uzI756/yVMGjWgXn1+RACQqk7HngMnsHv/Mew5eByp6oxq9SeVWqFneCiG9uuGwZERFp0Gv5lfiEWJaixMVONmQVFZ+7etAvByQOXlj1KKSjDq1BVM95HhER8PeLC6BFGNMHuSqdFo8MMPP2DNmjVITU2Fv78/pk6discee6zWg6baceBmFt7YfBPzxzZHJ0XtT5FVR9zJ83j6jc8Qf6fy+n5dO4Xgw9lPoUeX9rUUGZHxioqKEXfy/L3Ryv3HcfbS9Wr36eslw6DIrhgUGYHIbp3g5Gi5Grl5pRqsTklHdKIaMenZeu/p4GSPU93b1XJkRKSPWZPM4uJiDBo0CPv37y9X4kIkEmH8+PFYsWJFrQZNNetmeiHe2nITK8/d23kaGeiCPU+1q3cjfrl5BfjvnJ/x+9INVd47KLIrPnj9CbRrXfdOO6LGR6vV4tylG4g9fBJ7D53EwWNnkV9g+vGNwL1NOxGd2mJQZAQGR3ZFm+BmFv07LQgCDmTmIFqpxorkNOTqqXv7sFPd2qKDs0MtREdElTFrkvntt9/itddeg0KhwJtvvonmzZvj3LlzmDNnDjIzM7Fw4UJMmzat1oKmmvPBztv4LOauzrnmax9rjTEhMgtFVT279h3Fc+98iaQqyrWIRCJMHNkP770yC838fWspOqJ7CdeN20rsPXQSsYdOYt+RU0jP0D+iZwwvuTsG9gnH4D4RiOzR2SKbdh52p6AIixLViFaqcOOB6XBDvOzvjW9bB9RQZERkKLMmmT179sSpU6dw6dKlcsXXz549i44dO2LIkCHYvHlzrQVNNed/O27h/3bf1Wlv7mGLC691hrVV/Srafl9GVg7e+HAeVmzYXeW9VlYSzJoyEm8+Px1ecvdaiI4ao6QUNfYePlU2WpmQlFrtPq2sJIjo1Bb9e3XBgF5d0L5Nc4vWrrwvX6PB2pQMRCeqsDstG8ZuBJBJrTDNV4ZZCjnaOdXNo2+JGhOzJpkymQxdunTB1q1bda6Fh4cjMTHRLEkhk0zLyy3SIPjL40jKKda5NndEIF7pVXfq4pli3da9ePPjH6oc1QTuHY33/MwJePnJyXBxsvwIENVvickqHDh6BgePncWBo2dw9cYds/QbFKBA/15d0L9XF/Tq2sGiaysfJAgCDmfmIjpRheXJ6cg2sj6nlUiE4XJXRPnKMEzuWmUJIyKqPWatk5mTkwM3Nze915o1a4Zz586ZFiXVOY42EnwyOACzVl3Tufbh7juY3skTHg71d8fmmKF9MCiyK375ay2++XkpMrNzK7w3v6AQX85fjN+XbsAbz0zFE1NHwd7OthajpfrsdkIyDhw9jQNHz+DQ0bNVbkIzlJODPfp074QBvbqgX8+wOre0I6GwCH8lqhGtVONqvvHrSNs52mGmQo6pPjJ42tTff2uIyMAks6SkBFZW+m+1trZGcbHuqBfVXzM6e+H7Q4k4lZhXrj2zoBQf7b6DeaPq91ng9na2ePWpRxA1eQTm/bYM86NXo6Cw4rVhGZnZePfzn/DFj4swZcwgzHpkJNoEN6vFiKmuu7+m8sCRMzh07AwOHD1b7SLo90kkYoSFtkZk907o17MLuoS2hlRq0jkaNaZAo8X61AwsUKqwMy3L6Olwd6kVpvp4IEohR0cn+3q3yZCI9Ktb/1JRnSAWi/DNiED0/VV3hHr+4SQ8180HLeV1Y0quOtxcnPDBG0/i6eljMefHvxC9fBM0lexwzcrJwy9/rcUvf61F104hmDllBMYN6ws7W54k0tgUFBbh5LkrOHrqAo6cvPehTs80W/9tWwWiT7dOiOzeCT26hNaZKfAHCYKAI1m5iFaqsSw5DVlGTodLRMBQmSuifOUY4ekKG06HEzU4TDJJr8ggV4wJ8cC6C2nl2ku1AmZvvokNUSEWisz8fLxk+PajV/HCrIn4eO6fWL05pspn7icWb3/8Ix4ZOwizpoxEqxZNaz5YsghlkgpHTp7H0VMXceTUeZy+cK1aZ4A/rFkTX/Tp3hGR3Tuhd0RHyD30L0+qCxILi+9NhyeqcDnP+OnwNg73psOn+XrA28a6BiIkorqCSSZV6IthzbD5cjpKHipntPFSOnZfz0D/5nX3G6Epmjf1Q/S8/+GVJ6fgw69/x679x6p8JjM7Fz8tXIOfFq5Bt7B2mDVlJMYM7QNbfvOst3LzCnD20nWcOncFx05fxJGTF8yy8/tBfj6e6Bkeip5dQxHZvTMC/Co/ycbSCjVabFBlIFqpwnZ1FqquaFmeq5UEj/p4YKZCjs7ODpwOJ2okDNpdLhaL4ejoCJlMt06iWq1GXl4eAgL01y4TiUS4ceOGQcFwd3nd89rGeMw9oNRpb+/jgJMvdYSkAZ8HvO/wKXzw9e84dvqiUc+5uTpj/LBIDOnXDb26duBmoTosv6AQ5y7dwKnzV3Dy3BWcOncFV+PvVnokqSmaNfFFj67t0TM8FD26hCLAz7veJFp707Mx9tRVZBg5cisGMFjmgiiFHKPkbrCVcDqcqKEwawmj6tRZE4lE0GgM+8eJSWbdk5FfguZfHkd6fqnOtd/Gt8AT4XV7BKa6BEHAibOX8effG7F6c4zRp67Y2lijd0RHDP7n+L6mTXxqKFKqSn5BIS5evYnT56/eSyjPX8Gla7cqXYdrquAgf/To8m9SqfCRm/0dtSWtuAS+sadQbNgJxGjlYHtvOtxHBl9bjugTNURmTTL37t1brWD69Olj0H1MMuum7w8q8dKGeJ12L0cprr0ZBiebxrHqIisnF8vX7cSfyzbhwhXd3w9DBAf5Y1CfrhjSNwLdOreDtTVLtJibRqNB/J1EXLwSjwtXbuL8lXhcvBKP+DuJMOCfO6NJpVYIbdMCXTuFoGvHEPQIbw9PWcMq4j/x9DWsSkmv8LqLlQSP+HggyleOcBdOhxM1dGZNMmsLk8y6qUSjRbu5J3FFVaBz7d1+TfDx4Ka1H5QFCYKAY6cv4c9lG7Fmc0yl5Y8q4+hgh749wjCgdxd0btcKrVs0ZdJpBEEQkJSixuXrt3HhSjwuXL2Ji1ficfn6bZP/TAwh93C7l1B2CkF4xxB0bBtcLysMCIKAUzn5cJZI0Nyh8iUdW1SZGH7ySrk2EYBBHvemw0d7usGO0+FEjQaTTDKrTZfSMDJad22irZUYV97oDH+3xrnuMDM7F8vW7cCff2/EpWu3qtWXVGqFkOBmCA0JRoeQFggNaYG2rYLqZQJjLoIgIFWdgeu3EnDjVgJu3FLe++/tBMTfTjR6+YKxxGIxQlo2Q9eO9xLKrp1C0Mzft16P1KUUlWBJ0r2zw8/lFuCZJp74qU3ldV9LtQL8951CUlEJgu1tMUMhw2O+Mvg14q9NosaMSSaZlSAIGPj7eey+nqlz7dEOcix5pFXtB1WHCIKAI6cuYNGKLdgWEwdVWoZZ+pVIxGgZFIDQkBboENIC7du0QFCAAp4yN0gkErO8w5IEQYA6PQuJySook1VISlEjISkV8beVuHFLifjbSuTk5ddKLCKRCC0Cm6BT25bo2C4YHdu1RPvWzeFgb1cr768NM87dwNKkNJQ+8M++i5UEyZGdqtyYsyYlHd7WUnRzdazXSTYRVR+TTDK7s0l56DDvJPR9xcQ9H4qu/s61H1QdpNVqcer8VeyIPYIde+Nw4uwVs68FtLKSwNdLBoWPJ5r4ekLh7Qk/HzkUPp7w8/GEn68n3F2dLZIMCIKAnNx8ZGbnICs7F5lZuVCnZyIxRV2WSN7/b2KyGsUlJbUeIwAENfVDp3bB6Ni2JTq2a4nQNi3qZNFzc3rmwk38kqBbjunv9s0xxcfDAhERUX3EJJNqxJOrruH3Y8k67SNau2NjAyrQbk6qtAzs3HcUO2KPYPf+Y5Wel25OdrY2kHu4wt7OFo4OdrC3s3vg///97/3/t7WxgVarhUajQalGg9JSLTRaDUpLNWVtGo32n2sa5OblIzMrF1k5ucjMupdQZmTnIis71+wlgKrD3s4WrVs0RZvgZghpGYi2rQIRGhIMV2dHS4dW6+Iyc9DtiO6yl8EeLtgW1rhnI4jIcEwyqUYk5xSjxRfHkVv8b1mqRzvIMW9UEGQO3LRSldJSDY6cuoAdsUewPTbO5F3qpEssFiMwQIG2LQMR0rIZ2rQMREhwIJr5+1SrDFt9UKLV4kxOPsJcKk+cBUFAm4NndU7qcbGS4E6fDnC2ahyVIoioephkUo35dM8dvLv9NrydpPhlXAuMasNpNlOp0jJx9uI1nL5wDWcuXMWZC9cQfyfR0mHVac6ODghqqkBQU797/w3wQ6sWAWjVvGmj2yR1Licf0UoVFiepkVmiQXLfTnCTVp4ozolPxNvX7gIA+rk7I0ohwzhPdzhY1f81vkRUOwzN1/hjKxnt1V4KZBZq8HakH9ztOXpZHXIPV/Tv1QX9e3Upa8vMzsW5i9dx+p+k8/SFa7gaf6dGajzWVfZ2tmUJ5L8JpR+aN1VA7uHWqDeepBWX4O+kNEQnqnEiO6/ctb+T0vCcv1elz0/3laFIq8VjCjma2jWupJyIahdHMonqgdy8Apy7fB3XbyZAmZSKhCQVEhJTkJCkgjI5Fbl5ujVM6yoXJwf4esvh6yW791/ve/9VPNBmqU1LdVWpVsD2tExEK9XYkJpR4ek7XZwdcLRb21qOjogaG45kEjUgjg526Na5Hbp1bqdzTRAEZOXk/ZN0pkKZpLr332QVsnPykJdfgLz8QuTlFyC/oLDc/1eHtVQKVxdHuLo4wcXJEW4uTnB1cYSL0z9tzo5wdb73/67OjvDxksHXSw5Hh4ZTEqimXczNR7RSjb8S1UgurnoX/rHsPFzIzUdIA98lT0T1A5NMonpOJBLdS+acHdG2VZDBz2m1WuQXFCG/4F4SWlhYBImVBBKxBFZWElhJJJBIxJBI7v1aIhbrtJP5ZZSUYllSGhYoVTj20HS4IVYlpyOkOZNMIrI8JplEjZRYLIajgx1HFusAjSBgpzoL0YkqrEvNQJHWuFVMdmIxJni7Y6avDH3cWa+WiOoGJplUI1Jzi/HG5pv4aGAAmro3ziMniapyObcA0Ykq/JWoRmKR8UXpe7o6YaZChgne7iw/RER1Dv9VIrMSBAHLzqjw4vobSMsvRWJ2MXY+0ZabOIj+kVlSiuXJaYhWqhGXZXxh/ia21pjhK8MMXzmaO/AHOCKqu5hkktkkZRfj2bXXsf5iWlnb7uuZ+O1oMp7q6mPByIgsSyMI2J2WhQVKNdamphs9HW4rFmG8lzuiFHL0c3eGmD+0EVE9wCSTzOazmLvlEsz73th8E0OC3eDvxlEXalyu5hUgWqnGokQVlCZMh3d3dUSUrxyTvN3hUkWRdSKiuob/apHZ/N+gAKy9oEZCVnG59pwiDZ5acx1bZ4Vw2pwavOzSUqxITscCpQqHMo2fDlfYSPGYrxwzFDK05KYsIqrHmGSS2bjYWeHXcS0wbMEFnWvbr2Yg+ngKZnbxtkBkRDVLKwiISc/GAqUKa1IyUKDVGvW8jViEsZ7umKmQob+HCyT8YYyIGgAmmWRWQ1u5I6qzF6JPpOhce3VTPAYFu0HhwqPsqGH5NSEVz168ZfRz4S4OmKmQY4q3B1w5HU5EDYzY0gFQw/PNiGbwcbLWac8q1ODpNdcb1Rnc1DiM83SHlYGjjz42UrzZ1AcXe7THkYi2eKaJFxNMImqQmGSS2bnZS/HLuOZ6r22+nI7Fp1JrOSKimuVpI8VwuWuF161FIkz0cseWTi1xp3dHzGnpj9aOXG9JRA0bk0yqESPbeGBqR7neay9viIcyq6iWIyIy3s38QnxwPQFnc/KrvHemQqbTFubsgB9aByApshNWdGiBoXJXWIm53pKIGgfO0VCNmTcyCLuuZSIlt3zployCUkxeehkxT7WDVMKfc6huySvVYHXKvd3hsRk5AIC0klJ837pppc8Nk7lCbm0FEYDpvjJE+crR1olniBNR48Xv8FRjPByk+Gms/mnzg7ey8eaWm7UcEVHlNIKA4ANnMON8fFmCCQBLk9JQVMWOcalYjNgurZHQpyO+ahnABJOIGj0mmVSjxraVYUqo/mnzbw8kYsUZVS1HRFQxiUiEoTJXnfb0klJsTM2o8vk2jvaQivnPKhERwCSTasFPY5sj0F3/aT+Pr7qGSylVr3cjqi1RCv0/FEUnqms5EiKi+o1JJtU4VzsrrJ7eGrZWul9uucUajF98EblFGgtERo2FIAg4mJGD3xOqrmzQw9URQXbla7laiUSwFYugZfktIiKDMcmkWtHB1xE/V1DW6FJqAZ5YdZX1M8ns7hYU4dN4JVoeOIueRy/ixUu3kFlSWukzIpGobDSzvaM95rb0R2JkR6zqEAwxT+IhIjIYd5dTrZnR2QuHbmXj16PJOteWn1VjTIgKUzp4WiAyakgKNFqsTUlHdKIKu9Ky8eCPLoVaASuS0/FUk8q/zp7088RwuSs6OjvUbLBERA0Yk0yqVfNGBeFkYi6OJ+SWa3+jtwLj2+nWGSQyhCAIOJKViwVKNZYlpyG7tOLlF9GJqiqTTC8bKbxspOYOk4ioUWGSSbXKVirGyqmt0fn7U0jPL4WTjQQLJgYzwSSTKAuL8VeiGtGJKlzJKzTomcOZubicW4BWPHGHiKhGMcmkWtfU3RZLprTEm1tuYuW01mgpZz1BMlyhRov1qRmITlRhhzoLlVev1OVmJcGVfCaZREQ1jUkmWcSQlu4Y2MINEh6xRwYQBAHHsvIQnajC30lpyKxkOlwfMYAhMldEKWQY5ekGG9ayJCKqcUwyyWKYYFJVkoqKsThRjWilGhfzCox+vrWDLaIUckz3lcHHxroGIiQiooowySSiOqVIq8XG1AwsUKqxTZ1p9HS4q5UEj/h4IMpXji4uDhCx7BARkUUwyaQ6La9YAxEAe2uJpUOhGiQIAk5m52OBUoWlSWpkmDAdPkjmgihfOUZ7usFWwulwIiJLY5JJddZVVT7GL76ENp72+PuRVhBzer3BSSkqwZIkNRYoVTifa/x0eLC9LWYq5Jjm6wE/W5uqHyAiolrDJJPqpLXn1YhacRXZRRqcT86Ht1M8vh0ZyKnPBqBYq8UmVSailSpsUWdCY+RBT85WEkzx9kCUQoYIF0d+TRAR1VFMMqlOKdUIeHf7LXyxN6Fc+3cHE+HtZI13+jaxUGRUXRdy8/Hr3VQsSUpDWhVHOz5MBGCAhzOifOUY6+UOO06HExHVeUwyqU5RZhfhlyNJeq/9Z9steDpI8Xi4dy1HReawVZWF7+6kGPVMc3sbRPne2x3ub8fpcCKi+oTDAVSnBLjZYv2MNrCx0j8F+tSaa9hwMa2WoyJzmObrAYkBM9tOEjEeV8hxILwNrvYMxbtBCiaYRET1EJNMqnP6BLpi6SOtoG+fj1YAJi+5jP03s2o/MKoWbxtrDJW5Vni9n7sz/moXhKTITvi9bSB6uDlxvSURUT3GJJPqpHFtZZg/prnea4WlWoxaeBHnkvJqOSp6mLq4BN/fTkbnw+dwNie/yvujfOXlfh1oZ4OPmvvhVu8O2N2lNab5yuBgxXJVREQNAddkUp31dIQPUnKL8f7OOzrXMgtKMeTP8zj0XCgC3GwtEF3jVaoVsE2diehEFTakZqJEuLc9PFqpwjetAip9doSnKwJsrdHPwwVRvjL0dHOCmKOVREQNEkcyqU77b39/PNfNR++1xOxiDPr9PNR5JbUcVeNWoNVi8tnrWJ2SUZZgAsDiJDVKtJWfz2MjFuNG7w74s20gers7M8EkImrAmGRSnSYSifDdqCBMaCfTe/2qugDD/jyP3CLjTogh0zlZSTDBy12nXVVciq3qqtfKSphYEhE1Ckwyqc6TiEVYPKUl+ga56L1+LCEX4/+6iOJSY0+5JlNF+epP+hcoVbUcCRER1VVMMqlesLESY91jbdDB10Hv9R3XMjFz5VVotUYeH0NlLuUW4K0rd/DmFd01sA/r4+6Mpg+VFerl5oSxnm41FR4REdUz3PhD9YazrRW2zmqLHvPPID69UOf60tMqeDpK8c0IHj9pqIySUixPTsMCpQpHs+7t1neQiPG/IAUcK9nlLRaJMMNXhj+VKszwlWGGrxzNHbgBi4iI/sUkk+oVbydr7HiiLbrPP4PUXN0NP98eSIRGC3w7MhBifYU2CRpBwK60LCxQqrAuNQNFD43+5mm0WJmSjpkKeQU93PNmMx/8L0jBzTtERKQXp8up3gnysMO2WW3hZKN/pO37Q4n49WhyLUdV913JK8A7V+/Af+8pDDlxBcuT03USzPuiDVhbaS+RMMEkIqIKcSST6qWOCkese6wNhv55HsWa8onSkGA3zArzslBkdUtWSSmWJ6cjOlGFw5m5Bj+3LyMHN/ILEWTPKXAiIjINk0yqt/o1d8WSKS0xeell3B+Q69nUGaunt4a1VeMdpNcIAmLSs7FAqcKalHQUGrkZylYswlhPd2gEbqIiIiLTMcmkem1CezlWiUWYsvQy2no7YFNUCOytG+exhNfzChGdqMKiRDXuFhYb/XyEiyOiFDJM9vaAq5T/NBARUfXwOwnVe2PbyrDjibZo42kPF7vG9SWdU6rBiuQ0RCvVOJCZY/TzPjZSPOYrQ5SvHK0c7WogQiIiaqwa13dkarD6BLpaOoRaoxUE7E3PxoJENVanpCNfY1wRemuRCGO83DDTV44BHi6w4i58IiKqAUwyqVEpLNEiKacYzdzr34aWm/mFWJioxsJENW4VFBn9fBdnB8xUyDHZ2wPu1vyrT0RENYvfaajRKNFoMXnpJcTdycHOJ9qhvY/+04PqktxSDVanpGOBUoW9GcZPh3tZSzHdV4YohQwhjvY1ECEREZF+TDKpUdBqBcxceRUbLqYDAPr8chZbZ4YgIsDZwpHpEgQB+zNysECpwsqUdOQZOR0uFYkwytMVMxVyDPZw5XQ4ERFZBJNMavAEQcAL629gyal/C4xnFpRiwO/nsGJqawxr5W7B6Mr79W4q5txMRLwJ0+GdnO0x01eOR3w84GEtrYHoiIiIDMckkxq8X44k46e4JJ32vGItRkRfwCeDm+LtSL86cd55WkmJUQmm3NoK03xkiFLI0d6J0+FERFR3NN6K1dRoTOvoiQHNXfVeEwTgP9tuYdKSy8gt0tRuYHpM95WhqlTXSiTCGE83rO8YDGWfjvimVQATTCIiqnOYZFKD52gjwaaZIRgb4lHhPavOqdFt/mncSCuosTiSi6oukO5na4OBHi56r7V3tMfclv5IjOyItR2DMcrTDVIx/woTEVHdxO9Q1CjYWImxYmprzKzkTPPzyfkI+/40tl/JMNt78zUaLElUY+DxS/CNPYVLuVUnsTMV8rL/l0mt8LK/N051a4szPdrhlaY+kHO9JRER1QNck0mNhpVEhD8mtEB7bwe8sSUe+jZtZxaUYtiC8/h0SFO82cf0dZpJRcV4/3oClienI7v032n4aKUKc1r6V/rsaE83TPJ2xxRvDwyXu8Kao5VERFQP8bsXNSoikQiv9FJgx+Pt4GGv/2csrQC8vfUWpiy9jLxi09Zp2onF+CtRXS7BBIC/ktQo1QqVPysRY3loC4z1cmeCSURE9Ra/g1Gj1K+5K46/2BEdfCsuyL7irBrd559BvAnrNF2lVhjrqVsaKamoBDvSsozuj4iIqL5hkkmNVlN3Wxx8NhSPdJBXeM/ZpDyEfX8aO6/+u05TEATka6oe4YxSyPS2RytVetuJiIgaEq7JpEbN3lqCJVNaorPCEW9uuQl9M9kZBaUY8ud5vDWoCZwCpFiUpEYPVyf83jaw0r77e7jAz9YaCYX3dpW3cbDDTIUcU30r3uVORETUUDDJpEZPJBLh9d5+CPVxwOSll5GeX/rvRTEAmRhabzE+K04Grt/bCKQsLMa8VgFwsJJU2K9EJMILTbxwp7AIUQo5wpwd6kTBdyIiotrAJJPoHwNauOH4ix0xetEFnMstAHzEgJcYkOomhjkaLdamZmCar/4p8fveCvStqXCJiIjqNK7JJPpHclExVmdloDTMCugiBfwkehPM+xZwbSUREVGFOJJJjVqxVouNqZmITlRhqzoTmsqrC5WzJz0btwuKEGBnU3MBEhER1VNMMqnREQQBp3LyEa1UYWlSGtJKSqt+6AEiAAM9XDBTIYcXT98hIiLSi0kmNRqpRSVYkqRGtFKNs7n5Rj/f3N4GMxVyTPeRoYme0cvbGYU4l5yHEa25e5yIiIhJJjVoxVottqgyEZ2oxmZVJkoFI+bDAThJxJjs7YEohRzdXR0r3B2u1QqYufIqYm5kYVaYF+aODISzLf96ERFR48XvgtQgncnOQ3SiGosT1VCbMB3ez90ZUQo5xnm5wV5ScZmi+344nIiYG/dO8vnzeAp238jEvJFBGNXGnWWLiIioUWKSSQ2GurgES5PSsECpwukc46fDg+xsEKWQY7qvzKjNPJdT8/HWllvl2m5nFGHMoosY2MIV80YGobWXvdHxEBER1WdMMqleK9FqsU2dhQVKFTapMlFi5HS4o0SMSd4eiFLI0NPVyehRx1KNgBkrrqKwVKv3+s5rmWj/7Um80N0H7w8IgKsd/8oREVHjwO94VC+dz8nHAqUKi5PUSC02bjocAPq6O2OGrwzjvdzhWMmpPVWRiIGnu3rjYko+cov1n2deqhXw7YFELDmlwqdDmmJmmBckYk6hExFRw8Ykk+qdiaevYVVKutHPNbWzQZSvDI/5ytDM3tYssYhEIszq4o1+Qa6YufIqYuOzKrxXlVeCJ1dfw09xSfhuVCB6NHUxSwxERER1EU/8oXqnvZPh6xvtJWLM8JUhpktr3OgViveb+5ktwXxQU3db7H6yHaInBcPLsfLamSeVuej501lMW3YZyqwis8dCRERUFzDJpHrnsSrOCweA3m5O+LNtIJIjOyG6XRAi3Z0hruFd3mKxCDM6e+Hq7DDM7uMHqaTy9y05pULLr47js5i7KCzRv6aTiIiovmKSSXVGRkkpVidXPQ0eYGeDfu7OOu3+ttb4b6AC13uFYm94G8xUyOFUjfWWpnK2tcIXw5rh/KudMKyVW6X35hVr8Z9tt9Diy2OYfzgRRRVsICIiIqpvmGSSRWkEAdtUmZhy5hp8Yk9iwplruJZXWOVzUYp7o5l2YjGm+8qwO6wVbvbugI9a+CGoBqbDTREst8fmmW2xKSoELWR2ld6bkFWM59fdQNCcYzidmFtLERIREdUcbvwhi4nLzMH409eQWFRSrj06UYVPWjSp9Nlxnu4oDhEw0dsdzlZ1+8t4eGt3DGjhinkHlPi/3Xcr3IUOACVaocqElIiIqD7gSCZZTLC9HdR6yg8tSlRDU0W9SwcrCR7386zzCeZ9NlZivBnZBFdnh2FGZ88K75vd2w8O1rU/xU9ERGRuTDLJYtytrTDaU3fNYkJhMfakZVsgoprn42yN6Ektcfi5UIQ3cSp3Te4gxbPdfCwUGRERkXkxyaQacS2vELcKqi7PE6WQ623fn5Fj7pDqlIgAZ8Q9H4qNUW3QWeEIAJjdx7BRzO1XMpBVYHwBeiIiotpUP+YaqV7ILi3FyuR0LFCqcDAzF8808cRPbZpV+swgDxf42EiRVFQCHxspHvOVIcpXjlaODX9dokgkwojWHhjeyh1bLmcgMqjq4uzxaQUYHn0edlYSPNbZEy908+W56EREVCcxyaRq0QoCYtKzEa1UYXVKBgq0/5bg+TspDXNbBsBWUvGAuZVYhK+C/eEmtcJADxdYNcLjFkUiEYa3djfo3k/23IVGC+QWazD/cBLmH07CgOaueKG7L0a0dudxlUREVGcwySST3MgvxEKlGgsTVbhTWKz3nqxSDdalZmCKj0elfT1qQHF1ujeKuehkqk77ruuZ2HU9E03dbPBcN1883sUL7vaVnzpERERU05hkksFySjVYlZKOaKUK+wxcMxmtVFWZZJJhPo25i1Jtxbvub2UU4c0tN/H+ztuY2sETL/bwRXsfh1qMkIiI6F9MMqlSWkHAvowcRCtVWJWSjjyNcSfS7M3IRmZJKVyl/FKrDo1WwK0Mw845LyjR4vdjyfj9WDJ6NXPG4128Ma6tB5xs+GdARES1h991SK9bBUVYqFRhYaIaNw3YJf6wzs4OiPKV4REfDyaYZiARi7DryXY4k5iLHw4lYcnpVBQYcN75/pvZ2H8zG8+tFWNMiAemd/LEgOZusKriXHUiIqLqEglCFVWva5Gfnx+USiUUCgUSEhIsHU6jk1eqwZrUdCxQqhGTbnydSk9rK0zzkSFKIUc7J+54rknp+SX441gK5h9ONHiE8z4vRyke7eCJaZ080dHXASIRE04iIjKcofkak8xGThAEHMjMQbRSjRXJacg1cjrcSiTCCLkrZirkGCpzgVTM0qu1SaMVsOlSOn44lIhd1zONetbBWozU/0bAnicMERGREQzN1ziP2UjdKSjCokQ1opUq3DBhOryDkz2iFHI86uMBuTV3MluKRCzC6BAPjA7xwKWUfPxwOBELT6Qgr7jqHxbGt5UxwSQiohrDJLMRyddosDYlA9GJKuxOy4axQ9gyqRWm+sgQpZChgzN3Ldc1rb3s8eOY5vh0cFNEn0jBH8eScS45v8L7p3eq+Az1+3KKSrlhiIiITMLvHg2cIAg4nJmL6EQVlienI7tUY9TzViIRhstdEeUrwzC5K6w5HV7nudhZ4eWeCrzcU4GzSXn462QKlpxSISnn33qmvs7W6BvkWmVfIxZcQEpuCUa38cDoNh6I8HeCmAXfiYjIAEwyG6iEwiL8lahGtFKNq/mFRj/fztEOMxVyTPWRwdOG0+H1VXsfB3w5PBCfD22GPdcz8depVKw5r8bUjp5Vng6kzivBgVvZ0ArAF3sT8MXeBHg5SjGytQdGh7ijf3NX2Ek53U5ERPoxyWyABEFA76OXjC495C61wlQfD0Qp5OjoZM9dxw2IRCzCwGA3DAx2w09jm6PQgPJHmy6l4+Ha7ym5JWU1OO2l/9/enUdHVR96AP/e2TNJJslMJoFJICSGVRCQgAqIrIobgqRWyMMEtNRzCu+1PT319YnPQJfQWttarQ+oWFQo2oqGQLEiFQrIIoQQhIAQZDMJ2UPWySz3vj8mM2SSySzJBQJ8P+fkzMxdfr+bqSf98lsVmJQchekDozEtNRp39QlnKycREXkwZN6CBEHAf/SNxc+/KQl4rVIAHo6NRpbFjMfioqFld/gtL1yjRHgQE342F1X7Pd9sF/HP07X45+laAEBsuArT7nAFzukDY5Bs1MnyvEREdHNiyLxFZSb4D5nDwtu6wy0m9NVqruOT0c2gxe7E9rbwGKyqJgc+OFaFD45VAQBSjDpX4EyNxtTUaMSGc9gFEdHthCHzJmJ1isirrEVBfRNyBvX3e+0deh3uj4nEnnZ7jEerlJjf14SFCWaMMXARbuqaAAFr5g5E7olq/PPrWjTaQpswBgDf1FjxzZeX8ecvLwMA0hIj8OWSUfzvjojoNsGQ2ctJkoTD9U1YV1KJjWXVqG2bHf69xDik6P13Ry5MMOOL2gY8FBuFrAQzZpljoFOyO5wC06kVyBgdh4zRcWh1iPi8uA6bi6qRV1TjNUs9FFqVggGTiOg2wpDZy/2lpBLPnjjX6fi7pVXITk30e+9T8UY8ZIqCRcfucOo+rUqBh4cY8fAQI96cLeFwSSP+cbIG/zpbhwMX6xHsJlHjkwwBr9l+uhZbTlbj3v4GjEmIwMDYsICz4ImIqHdiyOzlHo+LgaroPBwddv98p7QK/3tHAhR+WobCVUqEq7jEDMlHoRAwrl8kxvWLxHIkod7qwO5zV/Cv4jrsKK7DcT+Lv9/XPzJg+VtOVuONfWV4Y18ZAECvVmBk33CMTojA3ZYIjE6IwJ3xemhVbJEnIurtGDJ7ObNGjcfM0cit8J6Ecb6lFf+uqccUU9QNejIiwKBT4bGhJjw21AQAuNxgw+dtgXPHmTpcunJ1Ga37gmjJ3Hehwetzs13E/osN2H/x6nGVQsCd8XqMtkRgdEI47rZEYHifcESH8c8ZEVFvwr/KN0h5qx0byqrwoCkKwyP1fq/NSojtFDIH6nVoCrafkug66ROpwfzRcZg/Og6SJKG42oodZ2pxqrIFfSL9D9tosjlRWNYYsA6HKKGwrAmFZU1Yl3/1uMWgwbA4PYbF671eTZzVTkR0QzBkXkc2UcQ/Kuvwl5JKbKuqg1MClvaPxx+HDvB73yOx0TBrVGgVJXy3jxFZFjPui47gJArq1QRBwMDYMAyMDQvq+kOXGoIe3+lLab0NpfU27Ciu8xxLHxGLv//H0O4XSkRE3caQeR0crW/CupIqbCirQpXd4XVuQ1k1Xhnc3+8i6GqFAv8cMwRDwnXQKznGkm5N1c0O9I3UdHv2ui/D4vz3EgDA24cu46vLTUg1hbl+YnVIitZBpeQ/4oiIeoIh8xqptNnx17JqrCupxNGGridD1Ngd2FpRh7l9jH7Lu9sQLvcjEvUqc0fE4snhJlyqa0VBaRMKShtxpKQRBaWN+PZK94LnsPjAIdO9NFN7KoWApBgtUk1hGBCjRVKMDv2jtUiK1qJ/tBYWg5YhlIgoAIZMGdlFEZ9UXcG6kkpsrayDvcOM8K6sK60MGDKJbgeCIKB/jA79Y3R44k6T53hlo80TPAtKGnGktAlnqloClhdMS2ZxlbXTMYco4Wy1FWerO58DAKUCSDBokRSjRVJ0WwCN0aJflBZ3mHQYZA5cLxHRrY4hUwZfNTRjXUkl1pdVocLmCHxDB62iCKckQckxlkQ+mSM0eHCQBg8OivEca2h1oLC0CV9dbkJRRTOKyptRVNGMyw12AIBCAAaZ/Y8HFUUJZ2sCh9WOnCJwsa4VF+tasQf1XuceHWLE1oV3+r3/coMNNc12xEdoEBOmgoJrgRLRLYghs5uqbXZsLKvGutIq5Nc3hXx/cpgWmZZYZCaYMSBMew2ekOjWFqlVYWJyFCYmey/jVdNsx8mKZlysaw24nmZJvQ2tjuB6HIKVYAi8+cE7+eX470/OA3B1zZvD1YiLcP3ER2h8vjeHq2HSqxGu4c5JRHRzYMgMgUOU8Gm1a3Z4XkXw3eFu4UoFvhNvRFaCGffHRPpdSJ2IuseoV2PCgChMCOLaikYbzOFqVDbZZavfEkTILK2/OsbUIUooa7AFPeFJoxRg0qthCle5XvUqxOrVWPVkKsMnEfUqDJlBONHYjHUlVXivtArlttD/z+iBmEhkJZgxN96ISO7AQ9RrjEmMRMX/3ot6qwNnq60orm5BcbUVxVUtOFtjxTfVVpTUt0IM4d+ToYbMUNmcnUNppFaJ1XMH+r3vxOUmPLD6GKLDVIjWqRATpvK8j9IpYdApYdCq2l6VMOhUiNRefW/QKhGhVXKbTyIKGkNmF2psDrx/2TU7/FA3usOTdBpkJpiRaYlFil53DZ6QiORi0KkwOsG1bWVHdqeI0nobLtS24kKdFRfrWnGhtrXt1YoLda1osV9d4NNiCDz8pSch0xeTPvCf8toWB6qbXT89Ea5RIELjCpyr5qRi+sAYv9dv+qoKLXYReo0CerUCerXSx3slwtQKBliiWwxDZjsOUcJn1VewrrQSueW1sIXYHR6mUCC9jxFZllhMNhrYHU50C1ArFUiK0SEpRgeg8zaukiShutmBC7VWlNbbMK5f56DaUWl9a8BrQhEbxK5GtS09C5duTTYRTTYR5Y32oFp4X/z0PL6uDG5ylVYlIEythK7Da5haAZ1KgTC1Avf1j8T/TO3vt5yT5c049G0DtCrXfVqVAK1KAa1SAY1KgEapgEbpOqZRCu3euz5zIhaRPBgyAZxqbMG60kq8V1qF0tbQu8MnRkdiYUIs0vsYYVDxKyW6nQiCgNhwNWLD1RgT5D2vzboDl+paUdFoR0WTDRWNdpQ32l2fG224YnWG9AwmfeCQWWeVJ2S2F6EJPPyn2Rb8Nk6tDgmtDvdz+v5brAoiAG4/U4sfbvkm6Ho7UioAjVIBtUKARiVArVDg8H+O8ttKLYoSZr9bBJVCgFopeF7VCgVUStemGu3PeX68PsPzXqkQcFffcKQlRvp91jNVLShvsEHZ7j6FACgFAUoFoFQIUAptx9ree65RCFAKgEIQoFCg7ToBOrX/CXNEwbptE5FNFPGXkkqsK6nCgSuB90vuqJ9O45odbjEjNZzd4UQUvFnDTH7PW+0iKptcgdMdQKua7Khutrd1ebd7bXLtlBRInUwtme1FaIMImfbQAnMgYUEEIKujB/uTwrVEVYsoogUA2hqdAy0x5xAlbDlZ4/eaUL0wOTFgyPz9nhL834Ey2erUqRRo+aX/aXPFVS1Ie73AFU7dIbXjq8L7swB4nXN9vnr+f6b2w5PDY/3W+7NPzuHQt42esoS2cgV3HcLVcq++977O9eo6n2DQ4JVHU/zWeeJyE/6wt7Tdve5yrtYBeB8D2l3r49hz4/pgcIC1dF//ogQVjXZP2a77vctqX+/U1ChMGNC5p+VGu21DplIQsOJsSUgtlzqFgCfjjViYYMYUo4HrWhLRNaFTK9AvWot+0fItb5ZqCsP8UWbUWR2oa3GirsWBOqsDtS0OrzGloYjQBA58zd0suyu6AMtSAUBrD0OmL+oAOzzZQ5kdFqRgWm0dMtcbzEgBhyiF3NoeSFUQKzwUlDbhX8V1stU5xBwWMGR+e8WGtw5dlq1OAJiWGh0wZK46cBlFFV3vFtiRWjmAIbM3UQoCnrHEYuW5wP8CHB8dgSyLGU/1MSJKfdt+ZUR0E3t4iBEPD/G9s5jdKaKh1Yl6qxP1rU7UWx2uz23v6z3nHKi3OtFkc6LRJiI6zP/fQ1GUuh1guxJcS6b8gS9QyHQ4b0zIdMocMoOZfCWGOF8hGMHMYZBkrjeYdiIJ8v+uAoL4Xa9BvTfCbZ2YshLMXYbMBK0az1jMyEyIxeBw/7uGEBHdzNRKBYx6BYxBjO0MhSAART8eg2a7E812Ec02sd37ttd275tsTlgdIqx2ES0OES12EdYOr30iAg8NuBYtmRql/3B7o1oynTIHr2BaMq/BrxpUvXJXG1TYu0myXm/tWL2tQ+bg8DDcFx2B/XWuMZlahYA5cUZkJcRiuimK3eFERD0gCAKGxl//fdx/MikRGaPj0OoQ0epwBdRWhwSbU4TNKcHmENHqbPvcdrz9+VaHCLtTgs0pwS663qsDpCBJkpBi1MEhSrA7JderKMHuFD3HQg1nwbVkhlZmIMG1ZMpbJ4Ag4p789SqCmN90LTJmUC2oN0m4DeS2DpkAkGUxQ5QkZCWY8XQfE6LZHU5EdFPra9CgbxCL4svJHKHB2RfG+r1GFF3hs+OPU4T3sbaQGhcRuGX5vyZaMPtOE5zusiRXmHWKkutHcnVvO9vqcba9F6UO79tegxnzGq1TYmFaPMS2ujyv7eoTJVdQan9Np8+Ap+4+QUxeS47RYXgfPaR2ZUtwvXeVJXV63/6Y6/XqZ2OA4R6Aa2idvm2Ihq8y4ONYoIB4LZqvemuTmCDJPcihBxITE1FSUoKEhAR8++2316VOSZK4FRsRERHJTpI6h0+FgIBrsTbbnF73uEMsvI5dHaeqUysQpr5+OwoGm9du+2Y7BkwiIiK6FtzLJYVKH8QatDcDrrhKRERERLJjyCQiIiIi2TFkEhEREZHsGDKJiIiISHYMmUREREQkO4ZMIiIiIpIdQyYRERERyY4hk4iIiIhkx5BJRERERLJjyCQiIiIi2TFkEhEREZHsGDKJiIiISHYMmUREREQkO4ZMIiIiIpIdQyYRERERyU6QJEm60Q/hptFoYLfboVAo0Ldv3xv9OERERETUQVlZGURRhFqths1m6/K6XhUylUolRFG80Y9BRERERAEoFAo4nc4uz6uu47MEpNPpYLVaoVQqERcXd6Mfh4iIiIg6qKiogNPphE6n83tdr2rJJCIiIqJbAyf+EBEREZHsGDKJiIiISHYMmUREREQkO4ZMIiIiIpIdQyYRERERyY4hk4iIiIhkx5BJRLcErsZGRNS7MGQSUSc1NTXIzs5GWloaYmJioNPpkJiYiDlz5uCDDz6QLdBduHABs2bNQnR0NPR6PSZOnNitcjZu3Ih58+bJ8kw3yoABAyAIAs6fP3+jH6XbsrOzIQiC52fUqFGylp+VleVVfnf/eyGi66NX7fhDRDdeQUEBZsyYgerqaiQnJ+OBBx6ASqXCpUuXsGXLFuTm5mLt2rXIy8sLuNtDIAsWLMCePXswYMAAjB07FoMHDw65jN27d2P+/PmYMGFCj56F5DN8+HCMHDkSSUlJspY7fvx4OBwOlJeXY8eOHbKWTUTyY8gkIg+Hw4G5c+eiuroaq1evxuLFi73OFxcXY86cOfjss8/w4osv4tVXX+1RfQcPHgQA7Ny5EwMGDOhWGaIo9ugZSH5PPPEEfvGLX8he7uLFi7F48WLs2rWLIZPoJsDuciLy2Lt3L86dO4f777+/U8AEgNTUVLz77rsAgDVr1vS429xmswEAEhMTe1QOERH1PgyZRORRUVEBABAEoctrRo8ejYULFyIjIwPNzc2e47W1tZ5xnFFRUdBoNOjbty/S09Nx6NAhrzImT57sVYdare40HnHHjh145JFHYDKZoNPpMHToUGRnZ6OpqclzTVZWFqZMmQIA+OKLLyAIAiZPnoxXX30VgiBg/vz5Pn+HAwcOQBAEz729mXv8IQBs2rQJEydOhMFgQHh4OCZMmIBt27YFVY7FYoEgCDhz5gxycnIwZswYGAwG6HQ6pKWlITc39xr+FkR0O2LIJCKPu+66C4BrnGN2djbq6up8Xvf2229j1apVCA8PB+AKp2PHjsXy5ctRU1ODqVOnYsaMGZAkyROMDh8+7Ll/xowZyMjI8HyeP38+MjIyEBERAQBYuXIlZsyYgR07dmDIkCF49NFHUV9fj+XLl2PixImora0F4BqjN336dACA2WxGRkYGZsyYgQULFkCtViM3NxcNDQ2dnv+dd94BACxatKiH39j18/LLL+M73/kOAOCRRx7BwIEDsW/fPjz22GP4+OOP/d5bUlKCsrIyREREYN68eVi2bBn0ej0eeughWCwW5Ofn48knn2TQJCJ5SURE7SxatEgCIAGQ1Gq1NGXKFCk7O1v6/PPPpZaWFp/3LF26VAIgLVmyRBJF0XO8paVFeuKJJyQA0nPPPdfpPnc9drvdc+zzzz+XBEGQEhMTpcLCQs9xq9UqZWVlSQCkjIwMz/GdO3dKAKQJEyZ4lT1nzhwJgLR27Vqv41arVYqJiZEiIyOlpqam0L6caygpKUkCIJ07d87ruPs7io6Olg4cOOB17uWXX5YASIMGDfJbdm5urqec1NRU6ejRo55zNptNSk9PlwBII0eO7NHv4H6eF198sUflBNLV/+ZE1LuwJZOIvKxevRo///nPERERAbvdjp07dyI7OxtTp06F0WjE3LlzcfToUa97jEYjZs6ciRUrVnh1g+t0OixcuBAAcO7cuaDq/81vfgNJkvDaa695WlYBQKvV4s0330R8fDzef/99lJSU+C3n2WefBQDPGFK3vLw81NbW4rvf/S70en1Qz9QbrFixAvfcc4/XsZ/97GeIiorC6dOncenSpS7vdbciR0ZG4rPPPsPIkSM959RqNXJycgAAx44d8xoC4VZUVITp06cjJiYGgiAEbDklIgI4u5yIOlCpVFi2bBl++MMfYtu2bdi+fTv+/e9/o7i4GC0tLfjoo4+wefNmvPHGG3j++ecBuNZH7Ki2thZfffUVPv30UwBAa2trwLqdTid2794NAD7HS4aFhWHSpEn4+9//jj179uDpp5/usqyZM2fCYrFg9+7duHDhgmc5HXdXuTv89sRPf/pT5OXlhXzfW2+9FfIaj48//ninY1qtFikpKSgoKEBJSQn69evn8153yPzxj3/scxZ/SkoKVCoVHA4HmpqaOoXv9PR09OnTB5s2bYJer8eIESNCenbg+n5XRNQ7MGQSkU8RERF46qmn8NRTTwFwjev75JNP8Ic//AEnTpzAD37wA0ycOBHDhw8H4Gqp/NOf/oS9e/fi9OnTnnGT7pZNKYiZ6NXV1Z6WNKPR6Pdafy13AKBUKpGZmYmcnBy89957WLZsGcrLy/Hpp59i0KBBGD9+fMDnCaS0tBRff/11yPc1NjaGfE///v19HjcYDAAAq9Xa5b3ukLlgwQKf51tbW+FwOKBUKmEymbzOHTt2DCdPnsRbb73Vo+/sen5XRNQ7MGQSkUdRURHKysowadIkqNVqr3MJCQl47rnnsGDBAkyZMgX79+/HX//6V/zqV7/Cxo0b8cwzz8DhcCAlJQXTp0/HkCFDkJaWBkmSMHv27KDqdzqdAFwtdOnp6X6vTU1NDVjeokWLkJOTg/Xr12PZsmXYuHEjHA6HLK2YALB+/XqsX79elrICUSi6N7rp/PnzqKqqgtFoxB133OHzmv379wNwTfxqX8/MmTM9LdHuxe43b96MWbNmhfwc1/O7IqLegSGTiDzmzJmD06dP4+DBgxg3bpzPa7RaLTIyMrB//37U1NSgsbER3//+9yFJEj7++ONOgTKU8XsmkwlqtRp2ux1r166FVqvtya+D1NRUTJo0Cbt378aJEyfw4YcfQqlU4plnnulRuTcTdyumu8XTF/cQgrlz53odf+WVV2AwGFBQUID33nsPALrVVU5EtydO/CEiD3d36Ouvv+73One35/Dhw3H8+HE0NDRgxIgRPlsst2/fDiC4nXk0Gg3uu+8+iKLoaUFrT5IkTJkyBePHj8eXX34JwP+ansDVCUCrVq3C/v378eCDD8JisQR8lluFO2SWlpb6HBebn5+PDRs2wGQyYcmSJV7nRowYgaqqKqSlpeHee+/Fvffe61m2iogoEIZMIvJ44YUXEBYWhvXr1+P5559HTU2N13lRFPHnP/8Zq1atQlxcHDIzM2E2mwG4gmf7MXeSJGHVqlVYs2YNAP9jBtv70Y9+BABYsmQJCgoKvOpetmwZdu3ahXPnznlmSLv3T79y5YrP8tLT02EwGPDmm29CFEW/XeWnTp3CqVOnfM6wvlm5F8K32WxYvny517nDhw9j1qxZEEURq1evRlRUVKf7CwsLMWrUqOvxqER0i2F3ORF5DBkyBB999BHmzZuH1atX4+2338bYsWORkJCA5uZmHD58GOXl5YiPj8fWrVsRGRmJyMhIzJo1C3l5eRg1ahQmT54MnU6HI0eO4OLFixg2bBiKiopQXl4e1DPMnj0bP/nJT/Db3/4W48aNw5gxY2CxWFBYWIhvvvkGer0emzZt8nSlJycnQ6lU4vjx45g2bRruuusu/P73v/eUp9fr8fTTT2PNmjUwGo1+xxMOHToUgGsv9cmTJ3f/i+wlJEnCkSNHALj+AZGTk4OtW7di2LBhuHjxomfno9dee61TVzngmlxVU1PjteQREVGw2JJJRF5mzpyJM2fOeNZlPHv2LDZv3owvvvgC/fr1w4oVK3Dq1CmkpaV57nn//fexYsUKJCcnY9euXdixYwdMJhNWrlyJ/Px8jBgxAqWlpcjPzw/qGV555RXk5eVh2rRpOH36NLZt2waFQoFnn30WhYWFXrOc4+LisHbtWiQnJ2PPnj3YsmVLp/LcS+DMnz+/x+M8bybFxcWoq6tDSkoKVq5ciT/+8Y+w2+3Izc1FcXEx0tPTcfDgQSxdutTn/e71UBkyiag72JJJRJ3ExsbipZdewksvvRTU9WFhYX6vP3bsmM/j/pY1evzxx32uDelLZmYmMjMzuzz/4YcfAgC+973v+S1HkiQYDAbP9pbXU/t929sLtPTTrl27ujznHo85duxYAMDSpUu7DJS+HD16FHFxcejbt2/Q9xARubElk4huSS0tLQCAv/3tb9i6dSseeOABrx2EfNm7dy8cDgcGDx58PR7xmnOPx3SHzFAdPXqUrZhE1G1sySSiW9L06dNx5MgRWK1WKJVK/PrXv/Z7vXv9zN/97neIjIy8Tk95bXVsyQxVYWEh5syZE/J9mzdvxvnz55GUlIRf/vKX3arblzVr1mD37t1Bj+8lohuLIZOIbkn33HMP8vPzMXDgQOTk5HTa97sjlUqFgoKCG9JVfi2IooiCggIoFArcfffd3SqjuLi4W/cdP34cx48fx8iRI2UNmfv27cOGDRtkK4+Iri1BCmavNyIiIiKiEHBMJhERERHJjiGTiIiIiGTHkElEREREsmPIJCIiIiLZMWQSERERkewYMomIiIhIdgyZRERERCQ7hkwiIiIikh1DJhERERHJjiGTiIiIiGT3/0SFWA9BDSSxAAAAAElFTkSuQmCC", + "text/plain": [ + "<Figure size 800x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# -----------------------------------------------------------------\n", + "plot_title = \"\"\n", + "font = \"Arial\"\n", + "x_label = \"Safety, $-\\ln p_f$ [$-$]\"\n", + "y_label = \"Present Value [€]\"\n", + "legend = True\n", + "grid = False\n", + "save_svg = True\n", + "remove_ticks = True\n", + "remove_ticks_labels = True\n", + "file_name = \"../book/figures/economic_opt\"\n", + "# -----------------------------------------------------------------\n", + "\n", + "fig = plt.figure(figsize=(8,6))\n", + "ax = fig.add_subplot() # axes_class=AxesZero)\n", + "ax.set_title(plot_title, fontfamily=font)\n", + "ax.set_xlabel(x_label, fontfamily=font)\n", + "ax.set_ylabel(y_label, fontfamily=font)\n", + "\n", + "plt.setp(ax.spines.values(), linewidth=2)\n", + "# ax.spines[\"left\"].set_position((\"data\", 0))\n", + "# ax.spines[\"bottom\"].set_position((\"data\", 0))\n", + "# ax.spines[\"top\"].set_position((\"data\", 1))\n", + "# ax.spines[\"right\"].set_position((\"data\", 100))\n", + "\n", + "# not a permanent solution (removed the part below 0)\n", + "# ---> find a better way to auto set upper bound\n", + "# ax.spines.bottom.set_bounds(0, 100)\n", + "# ax.spines.left.set_bounds(0, 1.0)\n", + "# ax.spines.top.set_bounds(0, 100)\n", + "# ax.spines.right.set_bounds(0, 1.0)\n", + "\n", + "t = np.linspace(0,101)\n", + "risk = 1 / (1 + 0.08)**t\n", + "inv = 0 + 0.005*t\n", + "tot = risk + inv\n", + "scale = 0.9\n", + "\n", + "# plotting\n", + "ax.plot(t, scale*risk, '--', label='Risk', color=colors[2], linewidth=4)\n", + "ax.plot(t, 1.05*inv, '-.', label='Investment', color=colors[1], linewidth=4)\n", + "ax.plot(t, tot+.05, label='Total', color=colors[0], linewidth=4)\n", + "# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n", + "# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n", + "\n", + "\n", + "\n", + "ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n", + "ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n", + "\n", + "if grid: ax.grid()\n", + "if legend: ax.legend(prop={\"family\":font})\n", + "if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n", + "if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n", + "if save_svg: plt.savefig(file_name + '.svg')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.7" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/figures/figures-template.ipynb b/figures/figures-template.ipynb new file mode 100644 index 0000000..e05b9ac --- /dev/null +++ b/figures/figures-template.ipynb @@ -0,0 +1,266 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 3, + "id": "65cbe2ec-de72-44d4-8af9-a969b06134a9", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib import rcParams\n", + "rcParams.update({'font.size': 16})\n", + "# TUDelft colors palette\n", + "colors = [\"#0C2340\",\"#00B8C8\",\"#0076C2\",\"#6F1D77\",\"#EF60A3\",\"#A50034\",\"#E03C31\",\"#EC6842\",\"#FFB81C\",\"#6CC24A\",\"#009B77\"]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## **Template #1**" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 800x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# -----------------------------------------------------------------\n", + "plot_title = \"this is the title\"\n", + "font = \"Arial\"\n", + "x_label = \"xlabel [$x-units$]\"\n", + "y_label = \"ylabel [$y-units$]\"\n", + "legend = False\n", + "grid = False\n", + "save_svg = True\n", + "remove_ticks = True\n", + "remove_ticks_labels = True\n", + "file_name = \"template_blank\"\n", + "# -----------------------------------------------------------------\n", + "\n", + "fig = plt.figure(figsize=(8,6))\n", + "ax = fig.add_subplot() # axes_class=AxesZero)\n", + "ax.set_title(plot_title, fontfamily=font)\n", + "\n", + "ax.set_xlabel(x_label, fontfamily=font)\n", + "ax.set_ylabel(y_label, fontfamily=font)\n", + "\n", + "plt.setp(ax.spines.values(), linewidth=2)\n", + "ax.spines[\"left\"].set_position((\"data\", 0))\n", + "ax.spines[\"bottom\"].set_position((\"data\", 0))\n", + "ax.spines[\"top\"].set_visible(False)\n", + "ax.spines[\"right\"].set_visible(False)\n", + "\n", + "ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n", + "ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n", + "\n", + "if grid: ax.grid()\n", + "if legend: ax.legend(prop={\"family\":font})\n", + "if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n", + "if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n", + "if save_svg: plt.savefig(file_name + '.svg')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "fc2eb45c-9f4e-4fbd-91c3-dc0ff10b4c46", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 800x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# -----------------------------------------------------------------\n", + "plot_title = \"\"\n", + "font = \"Arial\"\n", + "x_label = \"Year\"\n", + "y_label = \"Normalized Present Value [$-$]\"\n", + "legend = True\n", + "grid = False\n", + "save_svg = True\n", + "remove_ticks = False\n", + "remove_ticks_labels = False\n", + "file_name = \"template_exp_decay\"\n", + "# -----------------------------------------------------------------\n", + "\n", + "fig = plt.figure(figsize=(8,6))\n", + "ax = fig.add_subplot() # axes_class=AxesZero)\n", + "ax.set_title(plot_title, fontfamily=font)\n", + "ax.set_xlabel(x_label, fontfamily=font)\n", + "ax.set_ylabel(y_label, fontfamily=font)\n", + "\n", + "plt.setp(ax.spines.values(), linewidth=2)\n", + "ax.spines[\"left\"].set_position((\"data\", 0))\n", + "ax.spines[\"bottom\"].set_position((\"data\", 0))\n", + "ax.spines[\"top\"].set_visible(False)\n", + "ax.spines[\"right\"].set_visible(False)\n", + "\n", + "t = np.linspace(0,101)\n", + "y_2 = 1 / (1 + 0.02)**t\n", + "y_4 = 1 / (1 + 0.04)**t\n", + "\n", + "# plotting\n", + "ax.plot(t, y_2, label='2%', color=colors[0], linewidth=4)\n", + "ax.plot(t, y_4, label='4%', color=colors[1], linewidth=4)\n", + "ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n", + "ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n", + "\n", + "# not a permanent solution (removed the part below 0)\n", + "# ---> find a better way to auto set upper bound\n", + "ax.spines.bottom.set_bounds(0, 105)\n", + "ax.spines.left.set_bounds(0, 1.05)\n", + "\n", + "ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n", + "ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n", + "\n", + "if grid: ax.grid()\n", + "if legend: ax.legend(prop={\"family\":font})\n", + "if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n", + "if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n", + "if save_svg: plt.savefig(file_name + '.svg')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## **Template #3**" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "a19d456c-b5d3-43d6-8b51-1441f902985d", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 800x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# -----------------------------------------------------------------\n", + "plot_title = \"Cumulative distribution function, $F_{N}(n) = P(N \\leq n)$\"\n", + "font = \"Arial\"\n", + "x_label = \"Fatalities [$-$]\"\n", + "y_label = \"Probability [$-$]\"\n", + "legend = False\n", + "grid = False\n", + "save_svg = True\n", + "remove_ticks = False\n", + "remove_ticks_labels = False\n", + "file_name = \"template_cdf\"\n", + "# -----------------------------------------------------------------\n", + "\n", + "fig = plt.figure(figsize=(8,6))\n", + "ax = fig.add_subplot() # axes_class=AxesZero)\n", + "plt.setp(ax.spines.values(), linewidth=2.0)\n", + "\n", + "ax.set_title(plot_title, fontfamily=font, x=0.55, y=1.0)\n", + "ax.set_xlabel(x_label, fontfamily=font)\n", + "ax.set_ylabel(y_label, fontfamily=font)\n", + "\n", + "# data\n", + "N_fatalities = ['0', '10', '100', '']\n", + "N_fatalities_loc = [0.03, 0.33, 0.76, 0.95]\n", + "pdf = ['0', '0.989', '0.999', '1']\n", + "pdf_loc = [0.03, 0.66, 0.86, 0.99]\n", + "\n", + "# plotting\n", + "ax.step(N_fatalities_loc, pdf_loc, color=colors[0], linewidth=4)\n", + "\n", + "# ticks\n", + "ax.set_xticks(N_fatalities_loc)\n", + "ax.set_xticklabels(N_fatalities)\n", + "ax.set_yticks(pdf_loc)\n", + "ax.set_yticklabels(pdf)\n", + "ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n", + "ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n", + "\n", + "# add text\n", + "ax.text(0.8, 0.9, r'} $10^{-3}$', fontsize=16, fontfamily=font)\n", + "ax.text(0.37, 0.725, r'} $10^{-2}$', fontsize=16, fontfamily=font)\n", + "\n", + "current_values = plt.gca().get_yticks()\n", + "plt.gca().set_yticklabels(['{:,.3f}'.format(x) for x in current_values])\n", + "\n", + "if grid: ax.grid()\n", + "if legend: ax.legend(prop={\"family\":font})\n", + "if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n", + "if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n", + "if save_svg: plt.savefig(file_name + '.svg')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "629e2cf8", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.7" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/figures/helper.py b/figures/helper.py new file mode 100644 index 0000000..b9714c0 --- /dev/null +++ b/figures/helper.py @@ -0,0 +1,109 @@ +import numpy as np +import matplotlib.pyplot as plt +import matplotlib.cm as cm +import pyvinecopulib as cop + +class Bivariate: + """Bivariate dependent distribution, design to function in the + same way as an instance of the scipy.stats.rv_continuous class, + specifically, with methods: cdf, pdf, rvs. + """ + + def __init__(self, X1, X2, rho): + """Constructor to initialize Bivariate object. + + Arguments: + --- + X1: scipy.stats.rv_continuous object. Marginal distribution + X2: scipy.stats.rv_continuous object. Marginal distribution + rho: float. Pearson correlation coefficient. + """ + self.X1 = X1 + self.X2 = X2 + self.rho = rho + self.copula_uv = cop.Bicop(family=cop.BicopFamily.gaussian, parameters = [rho]) + + def cdf(self, x): + """Compute cdf with array or list as argument: [x1, x2].""" + x1 = x[0] + x2 = x[1] + u = self.X1.cdf(x1) + v = self.X2.cdf(x2) + return self.copula_uv.cdf(np.array([[u, v]]))[0] + + def pdf(self, x): + """Compute pdf with array or list as argument: [x1, x2].""" + x1 = x[0] + x2 = x[1] + u = self.X1.cdf(x1) + v = self.X2.cdf(x2) + return self.copula_uv.pdf(np.array([[u, v]]))[0]*self.X1.pdf(x1)*self.X2.pdf(x2) + + def rvs(self, size=1): + """Create random sample with keyword argument size.""" + sample = self.copula_uv.simulate(size) + sample_X1 = self.X1.ppf(sample[:,0]) + sample_X2 = self.X2.ppf(sample[:,1]) + return np.vstack([sample_X1.T, sample_X2.T]).T + +def plot_contour(bivar, xy_lim, data=None, + design_case=None, design_region=None, + nb_points=100): + """Contour plot of PDF in the bivariate plane (X,Y). + + bivar: bivariate distribution, defined by + scipy.stats.multivariate_normal. + xy_lim: list. 1x4 list of xlim and ylim (in order) for plot limits. + + Optional arguments: + + data: array. A 2xN array of points. + design_case: list. Typically a 1x2 list defining a key + calculation point; plots as a red dot(s) + design_region: array. A 2xN array of points that define the + boundary of a region that will be shaded in gray between + the boundary and the max y-axis value (ylim[1]). + nb_points: int. Size of the grid (default: 200). + + returns: matplotlib.pyplot Figure and Axis objects. + """ + + f, ax = plt.subplots(1) + + xlim = [xy_lim[0], xy_lim[1]] + ylim = [xy_lim[2], xy_lim[3]] + + x = np.linspace(xlim[0], xlim[1], nb_points) + y = np.linspace(ylim[0], ylim[1], nb_points) + X,Y = np.meshgrid(x,y) + pdf = np.zeros(X.shape) + for i in range(X.shape[0]): + for j in range(X.shape[1]): + # if X[i,j]>0 and Y[i,j]>0: + pdf[i,j] = bivar.pdf([X[i,j], Y[i,j]]) + + ax.contour(X, Y, pdf, levels=8, cmap=cm.Blues) + + if isinstance(data, np.ndarray): + ax.scatter(data[0,:], data[1,:], s=10.0, + facecolors='none', edgecolors='darkgray', + label='Data') + + if isinstance(design_region, np.ndarray): + ax.plot(design_region[0,:], design_region[1,:], + label='Design Boundary', color='k') + ax.fill_between(design_region[0,:], design_region[1,:], + ylim[1], label='Design Region', color='grey') + + if design_case: + ax.plot(design_case[0], design_case[1], 'ro', + label='Design Case') + + ax.set_aspect("equal") + ax.set_xlim(xlim) + ax.set_ylim(ylim) + ax.set_xlabel(r"$X_1$", fontsize=14) + ax.set_ylabel(r"$X_2$", fontsize=14) + if isinstance(design_region, np.ndarray) or design_case: + ax.legend() + return f, ax \ No newline at end of file diff --git a/figures/risk_curve.ipynb b/figures/risk_curve.ipynb new file mode 100644 index 0000000..821ad75 --- /dev/null +++ b/figures/risk_curve.ipynb @@ -0,0 +1,411 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "id": "65cbe2ec-de72-44d4-8af9-a969b06134a9", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib import rcParams\n", + "from scipy.interpolate import make_interp_spline\n", + "rcParams.update({'font.size': 16})\n", + "# TUDelft colors palette\n", + "colors = [\"#0C2340\",\"#00B8C8\",\"#0076C2\",\"#6F1D77\",\"#EF60A3\",\"#A50034\",\"#E03C31\",\"#EC6842\",\"#FFB81C\",\"#6CC24A\",\"#009B77\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 191, + "id": "ba992138", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0. 0.33333333 0.56632333 0.66666667 0.89965667 1. ]\n", + "[1.00100000e-04 6.67666667e-05 4.34676665e-05 3.34333333e-05\n", + " 1.01343332e-05 1.00000000e-07]\n" + ] + } + ], + "source": [ + "print(np.log(x)/np.log(1000))\n", + "\n", + "print(y)" + ] + }, + { + "cell_type": "code", + "execution_count": 285, + "id": "1c820b9d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1e-07, 0.001)" + ] + }, + "execution_count": 285, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "right = 500\n", + "top = .5e-5\n", + "\n", + "u = np.array([1, 2, 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 120, 150, 180, 200, 220, 250, 275, 300, 350, 400, 450, 475])\n", + "v = 1e-8 + top*(np.log(right) - np.log(u))**3/np.log(right)\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.loglog(u, v, color=colors[0], label=\"Ellipse\")\n", + "ax.set_xlim(1, 1000)\n", + "ax.set_ylim(1e-7, 1e-3)" + ] + }, + { + "cell_type": "code", + "execution_count": 340, + "id": "f7c03e2f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 1.00e-04 6.00e-05 3.00e-05 1.00e-05 3.98e-06 1.98e-06 9.80e-07\n", + " 6.00e-08 -8.50e-07]\n" + ] + } + ], + "source": [ + "right = 500\n", + "top = .5e-5\n", + "\n", + "u = np.array([1, 2, 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 120, 150, 180, 200, 220, 250, 275, 300, 350, 400, 450, 475])\n", + "v = 1e-8 + top*(np.log(right) - np.log(u))**3/np.log(right)\n", + "\n", + "# fig, ax = plt.subplots()\n", + "# ax.loglog(u, v, color=colors[0], label=\"Ellipse\")\n", + "# ax.set_xlim(1, 1000)\n", + "# ax.set_ylim(1e-7, 1e-3)\n", + "\n", + "C = 10**-3\n", + "alpha = 2\n", + "\n", + "limit_line_N = np.array([1, 1000])\n", + "limit_line_P = C/limit_line_N**alpha\n", + "\n", + "N = np.array([1, 7, 20, 40, 60, 100, 160, 200, 300])\n", + "N_pmf = np.array([0.9999,\n", + " 0.00004,\n", + " 0.00003,\n", + " 0.00002,\n", + " 0.00000602,\n", + " 0.000002,\n", + " 0.000001,\n", + " 0.00000092,\n", + " 0.00000091])\n", + "N_cdf = np.cumsum(N_pmf)\n", + "N_exc = 1 - N_cdf\n", + "print(N_exc)" + ] + }, + { + "cell_type": "code", + "execution_count": 341, + "id": "2c5ef408", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 800x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# -----------------------------------------------------------------\n", + "plot_title = \"\"\n", + "font = \"Arial\"\n", + "x_label = \"Fatalities, N [$-$]\"\n", + "y_label = \"Probability of Exceedance, $1-F_N(n)$ [$-$]\"\n", + "legend = True\n", + "grid = True\n", + "save_svg = True\n", + "remove_ticks = False\n", + "remove_ticks_labels = False\n", + "file_name = \"../book/figures/fn_simple01\"\n", + "# -----------------------------------------------------------------\n", + "\n", + "fig = plt.figure(figsize=(8,6))\n", + "ax = fig.add_subplot() # axes_class=AxesZero)\n", + "ax.set_title(plot_title, fontfamily=font)\n", + "ax.set_xlabel(x_label, fontfamily=font)\n", + "ax.set_ylabel(y_label, fontfamily=font)\n", + "\n", + "plt.setp(ax.spines.values(), linewidth=2)\n", + "\n", + "# Visualize\n", + "\n", + "# plotting\n", + "# ax.plot(limit_line_N, limit_line_P, '--', label='Limit Line', color=colors[0], linewidth=4)\n", + "ax.plot(u, v, label='Risk Curve', color=colors[1], linewidth=4)\n", + "\n", + "# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n", + "# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n", + "\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "\n", + "ax.set_xlim(1, 1000)\n", + "ax.set_ylim(10**(-7),.001)\n", + "# ax.set_yticks([10**(-7),10**(-5),10**(-3),10**(-1)])\n", + "\n", + "ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n", + "ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n", + "\n", + "if grid: ax.grid()\n", + "if legend: ax.legend(prop={\"family\":font})\n", + "if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n", + "if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n", + "if save_svg: plt.savefig(file_name + '.svg')" + ] + }, + { + "cell_type": "code", + "execution_count": 343, + "id": "fc2eb45c-9f4e-4fbd-91c3-dc0ff10b4c46", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 800x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# -----------------------------------------------------------------\n", + "plot_title = \"\"\n", + "font = \"Arial\"\n", + "x_label = \"Fatalities, N [$-$]\"\n", + "y_label = \"Probability of Exceedance, $1-F_N(n)$ [$-$]\"\n", + "legend = True\n", + "grid = True\n", + "save_svg = True\n", + "remove_ticks = False\n", + "remove_ticks_labels = False\n", + "file_name = \"../book/figures/fn_limit01\"\n", + "# -----------------------------------------------------------------\n", + "\n", + "fig = plt.figure(figsize=(8,6))\n", + "ax = fig.add_subplot() # axes_class=AxesZero)\n", + "ax.set_title(plot_title, fontfamily=font)\n", + "ax.set_xlabel(x_label, fontfamily=font)\n", + "ax.set_ylabel(y_label, fontfamily=font)\n", + "\n", + "plt.setp(ax.spines.values(), linewidth=2)\n", + "# ax.spines[\"left\"].set_position((\"data\", 0))\n", + "# ax.spines[\"bottom\"].set_position((\"data\", 0))\n", + "# ax.spines[\"top\"].set_position((\"data\", 1))\n", + "# ax.spines[\"right\"].set_position((\"data\", 100))\n", + "\n", + "# not a permanent solution (removed the part below 0)\n", + "# ---> find a better way to auto set upper bound\n", + "# ax.spines.bottom.set_bounds(0, 100)\n", + "# ax.spines.left.set_bounds(0, 1.0)\n", + "# ax.spines.top.set_bounds(0, 100)\n", + "# ax.spines.right.set_bounds(0, 1.0)\n", + "\n", + "# Visualize\n", + "\n", + "# plotting\n", + "ax.step(N, N_exc, where='post', label='Risk Curve', color=colors[1], linewidth=4)\n", + "ax.plot(limit_line_N, limit_line_P, '--', label='Limit Line', color=colors[0], linewidth=4)\n", + "# ax.plot(u, v, label='Risk Curve 2', color=colors[2], linewidth=4)\n", + "\n", + "# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n", + "# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n", + "\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "\n", + "ax.set_xlim(1, 1000)\n", + "ax.set_ylim(10**(-9),.001)\n", + "# ax.set_yticks([10**(-7),10**(-5),10**(-3),10**(-1)])\n", + "\n", + "ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n", + "ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n", + "\n", + "if grid: ax.grid()\n", + "if legend: ax.legend(prop={\"family\":font})\n", + "if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n", + "if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n", + "if save_svg: plt.savefig(file_name + '.svg')" + ] + }, + { + "cell_type": "code", + "execution_count": 350, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([5.e-04, 1.e-06])" + ] + }, + "execution_count": 350, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "limit_line_P" + ] + }, + { + "cell_type": "code", + "execution_count": 368, + "id": "59293d62", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 800x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# -----------------------------------------------------------------\n", + "plot_title = \"\"\n", + "font = \"Arial\"\n", + "x_label = \"Fatalities, N [$-$]\"\n", + "y_label = \"Probability of Exceedance, $1-F_N(n)$ [$-$]\"\n", + "legend = True\n", + "grid = True\n", + "save_svg = True\n", + "remove_ticks = True\n", + "remove_ticks_labels = True\n", + "file_name = \"../book/figures/fn_limit00\"\n", + "# -----------------------------------------------------------------\n", + "\n", + "fig = plt.figure(figsize=(8,6))\n", + "ax = fig.add_subplot() # axes_class=AxesZero)\n", + "ax.set_title(plot_title, fontfamily=font)\n", + "ax.set_xlabel(x_label, fontfamily=font)\n", + "ax.set_ylabel(y_label, fontfamily=font)\n", + "\n", + "plt.setp(ax.spines.values(), linewidth=2)\n", + "# ax.spines[\"left\"].set_position((\"data\", 0))\n", + "# ax.spines[\"bottom\"].set_position((\"data\", 0))\n", + "# ax.spines[\"top\"].set_position((\"data\", 1))\n", + "# ax.spines[\"right\"].set_position((\"data\", 100))\n", + "\n", + "# not a permanent solution (removed the part below 0)\n", + "# ---> find a better way to auto set upper bound\n", + "# ax.spines.bottom.set_bounds(0, 100)\n", + "# ax.spines.left.set_bounds(0, 1.0)\n", + "# ax.spines.top.set_bounds(0, 100)\n", + "# ax.spines.right.set_bounds(0, 1.0)\n", + "\n", + "C = 0.003302\n", + "alpha = 1.173\n", + "\n", + "limit_line_N = np.array([1, 10000])\n", + "limit_line_P = C/limit_line_N**alpha\n", + "\n", + "limit_line_N_trim = [1, 5, 1000, 1000]\n", + "limit_line_P_trim = [5e-4, 5e-4, 1e-6, 1e-7]\n", + "\n", + "\n", + "\n", + "# Visualize\n", + "\n", + "# plotting\n", + "ax.step(N, N_exc, where='post', label='Risk Curve', color=colors[1], linewidth=4)\n", + "ax.plot(limit_line_N, limit_line_P, ':', label='Limit Line', color=colors[0], linewidth=4)\n", + "ax.plot(limit_line_N_trim, limit_line_P_trim, '-', label='Limit Line with Cutoffs', color=colors[0], linewidth=4)\n", + "# ax.plot(u, v, label='Risk Curve 2', color=colors[2], linewidth=4)\n", + "\n", + "# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n", + "# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n", + "\n", + "\n", + "\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "\n", + "ax.set_xlim(1, 10000)\n", + "ax.set_ylim(10**(-7),.01)\n", + "\n", + "if grid: ax.grid()\n", + "if legend: ax.legend(prop={\"family\":font})\n", + "if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n", + "if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n", + "if save_svg: plt.savefig(file_name + '.svg')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.7" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/figures/risk_types.ipynb b/figures/risk_types.ipynb new file mode 100644 index 0000000..a662a11 --- /dev/null +++ b/figures/risk_types.ipynb @@ -0,0 +1,167 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "65cbe2ec-de72-44d4-8af9-a969b06134a9", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib import rcParams\n", + "rcParams.update({'font.size': 16})\n", + "# TUDelft colors palette\n", + "colors = [\"#0C2340\",\"#00B8C8\",\"#0076C2\",\"#6F1D77\",\"#EF60A3\",\"#A50034\",\"#E03C31\",\"#EC6842\",\"#FFB81C\",\"#6CC24A\",\"#009B77\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "fc2eb45c-9f4e-4fbd-91c3-dc0ff10b4c46", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 800x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# -----------------------------------------------------------------\n", + "plot_title = \"\"\n", + "font = \"Arial\"\n", + "x_label = \"Fatalities, N [$-$]\"\n", + "y_label = \"Probability of Exceedance, $1-F_N(n)$ [$-$]\"\n", + "legend = True\n", + "grid = True\n", + "save_svg = True\n", + "remove_ticks = False\n", + "remove_ticks_labels = False\n", + "file_name = \"../book/figures/risk_types\"\n", + "# -----------------------------------------------------------------\n", + "\n", + "fig = plt.figure(figsize=(8,6))\n", + "ax = fig.add_subplot() # axes_class=AxesZero)\n", + "ax.set_title(plot_title, fontfamily=font)\n", + "ax.set_xlabel(x_label, fontfamily=font)\n", + "ax.set_ylabel(y_label, fontfamily=font)\n", + "\n", + "plt.setp(ax.spines.values(), linewidth=2)\n", + "# ax.spines[\"left\"].set_position((\"data\", 0))\n", + "# ax.spines[\"bottom\"].set_position((\"data\", 0))\n", + "# ax.spines[\"top\"].set_position((\"data\", 1))\n", + "# ax.spines[\"right\"].set_position((\"data\", 100))\n", + "\n", + "# not a permanent solution (removed the part below 0)\n", + "# ---> find a better way to auto set upper bound\n", + "# ax.spines.bottom.set_bounds(0, 100)\n", + "# ax.spines.left.set_bounds(0, 1.0)\n", + "# ax.spines.top.set_bounds(0, 100)\n", + "# ax.spines.right.set_bounds(0, 1.0)\n", + "\n", + "# Given Parameters\n", + "\n", + "N_fatalities = np.linspace(1,1000,1000) # fatalities\n", + "\n", + "P_df = 0.1; beta = 0.1\n", + "\n", + "alpha = 2\n", + "k = 3\n", + "N_A = 100\n", + "\n", + "r= 0.025\n", + "I = 5*10**6\n", + "B = 0.33\n", + "\n", + "# Individual Risk\n", + "\n", + "Pf_ind_risk = (beta*(10**-4))/P_df # per year\n", + "\n", + "# print('Acceptable Failure Probability: ', Pf_ind_risk)\n", + "\n", + "# Societal Risk\n", + "\n", + "C = ((beta*100)/(k*np.sqrt(N_A)))**2 # binomial distribution\n", + "\n", + "Pf_SR = (C/(N_fatalities**alpha))\n", + "\n", + "# Economic Risk\n", + "\n", + "D_damage = (5*10**7)*N_fatalities\n", + "\n", + "Pf_ER = (I*B*r)/(D_damage)\n", + "\n", + "# Visualize\n", + "\n", + "# plotting\n", + "ax.plot(N_fatalities, Pf_SR, label='Societal Risk', color=colors[0], linewidth=4)\n", + "ax.plot(N_fatalities,Pf_ER, label='Economic Risk', color=colors[1], linewidth=4)\n", + "ax.axhline(Pf_ind_risk, label='Individual Risk', color=colors[2], linewidth=4)\n", + "\n", + "# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n", + "# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n", + "\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "\n", + "ax.set_ylim(10**(-7),.1)\n", + "# ax.set_yticks([10**(-7),10**(-5),10**(-3),10**(-1)])\n", + "\n", + "ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n", + "ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n", + "\n", + "if grid: ax.grid()\n", + "if legend: ax.legend(prop={\"family\":font})\n", + "if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n", + "if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n", + "if save_svg: plt.savefig(file_name + '.svg')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "59293d62", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.7" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/figures/solution.py b/figures/solution.py new file mode 100644 index 0000000..271f531 --- /dev/null +++ b/figures/solution.py @@ -0,0 +1,264 @@ +"""Set of helper functions for Week 8 part of Project 4, 2023. + +Primary purpose is: + 1) define dictionaries to track information about bivariate + and univariate probability models, as well as a few + important characteristics, + 2) print and plot results, + 3) perform simple calculations (e.g., covariance, ecdf etc). + +Organized in order used in solution notebooks. +""" + +import numpy as np +import matplotlib.pyplot as plt +import scipy.stats as st + +from helper import plot_contour +from helper import Bivariate + +def univariate_RV_dict(name, symbol, unit): + """Create a dictionary to track a random variable.""" + d = {"name":name, "symbol":symbol, "unit":unit} + d = create_plot_label(d) + return d + +def create_plot_label(univariate_dict): + """Combine RV name, symbol, unit into key xlabel.""" + univariate_dict["label"] = (univariate_dict["name"] + ", " + + univariate_dict["symbol"] + " [" + + univariate_dict["unit"] + "]") + return univariate_dict + +def univariate_model_dict(dist_type, parameters, + distribution, empirical=False, note=None): + """Create a dictionary to track a distribution model. + + dist_type: string, + parameters: tuple, from scipy.stats rv_continuous + distribution: frozen instance of scipy.stats.rv_continuous + empirical: boolean. Set to True if distribution is a sample + (array). This is just a placeholder to support other functions + that will be used for printing results + (e.g., compare_univar_prob). + note: string (optional) + """ + model = {"type":dist_type} + model["parameters"] = parameters + model["distribution"] = distribution + model["empirical"] = empirical + model["note"] = note + + if empirical: + model["N"] = len(distribution) + model["sample"] = distribution + + return model + +def print_dist_model_summary(RV, model_key): + """Prints info about a model.""" + print(f'Random variable {RV["name"]}, model \"{model_key}\" is:\n' + f' distribution: {RV[model_key]["type"]}\n' + f' parameters: {[f"{i:.3f}" for i in RV[model_key]["parameters"]]}\n' + f' (μ,σ) dist: ' + f'({RV[model_key]["distribution"].mean():.3f}, ' + f'{RV[model_key]["distribution"].std():.3f})\n' + f' (μ,σ) data: ' + f'({RV["data"].mean():.3f}, {RV["data"].std():.3f})\n') + +def calculate_covariance(X1, X2): + """Covariance of X1 and X2 (numpy arrays).""" + mean_x1 = X1.mean() + mean_x2 = X2.mean() + diff_x1 = X1 - mean_x1 + diff_x2 = X2 - mean_x2 + product = diff_x1 * diff_x2 + covariance = product.mean() + return covariance + +def pearson_correlation(X1, X2): + """Pearson correlation of X1 and X2 (numpy arrays).""" + covariance = calculate_covariance(X1, X2) + correl_coeff = covariance/(X1.std()*X2.std()) + return correl_coeff + +def bivariate_model_dict(model_name, + X1_key, X1, X2_key, X2, rho): + """Create dictionary to track the bivariate model. + + model_name: string. Arg is root name, which has + marginal info added; used for plot title. + X1, X2: dict.from univariate_RV_dict() + X1_key, X2_key: string. Name of model of X1, X2 + rho: correlation coefficient + + returns: dictionary + """ + + d = {"X1_key":X1_key, "X1":X1[X1_key], + "X2_key":X2_key, "X2":X2[X2_key], + "rho":rho} + + d["title"] = (model_name + ": " + + r"$X_1 \sim$" + X1_key + ", " + + r"$X_2 \sim$" + X2_key + ", " + + r"$\rho$ = " + f"{rho:.2f}") + + d["xlabel"], d["ylabel"] = X1["label"], X2["label"] + d["X1X2"] = Bivariate(d["X1"]["distribution"], + d["X2"]["distribution"], + d["rho"]) + d["data"] = np.array([X1["data"], X2["data"]]) + d["data_X1"], d["data_X2"] = X1["data"], X2["data"] + + return d + +def compare_bivar_prob(point, model): + """Compare probabilities at a given point (bivariate). + + point: array or list; size = 2. + model: dictionary defining bivariate distribution. + + returns: none, except printed output. + """ + + data_X1 = model["data_X1"] + data_X2 = model["data_X2"] + N = data_X1.size + + left_emp = sum(data_X1 < point[0])/N + bottom_emp = sum(data_X2 < point[1])/N + lower_left_emp = sum((data_X1 < point[0])*(data_X2 < point[1]))/N + + union_emp = 1 - lower_left_emp + intersection_emp = 1 - (left_emp + bottom_emp - lower_left_emp) + + lower_left = model["X1X2"].cdf(point) + union = 1 - lower_left + + left = model["X1"]["distribution"].cdf(point[0]) + bottom = model["X2"]["distribution"].cdf(point[1]) + intersection = 1 - (left + bottom - lower_left) + + print(f'-------------------------------------------------') + print(f' Comparison, Empirical Values in ( )') + print(f'-------------------------------------------------') + print(f'Lower left, P[X1<x1, X2<x2] = {lower_left:.5f}', + f'({lower_left_emp:.5f})') + print(f'Left side, P[X1<x1] = {left:.5f}', + f'({left_emp:.5f})') + print(f'Bottom half, P[X2<x2] = {bottom:.5f}', + f'({bottom_emp:.5f})') + print(f'-------------------------------------------------') + print(f'Case 1: P[X1>x1 or X2>x2] = {union:.5f}', + f'({union_emp:.5f})') + print(f'Case 2: P[X1>x1 and X2>x2] = {intersection:.5f}', + f'({intersection_emp:.5f})') + print(f'-------------------------------------------------') + +def compare_univar_prob(point, model, dist_key): + """Compare probabilities at a given point (univariate). + + point: float + model: dictionary defining univariate distribution + dist_key: specify which distribution model to use + + returns: none, except printed output. + """ + + data = model["data"] + N = data.size + p_data = sum(data < point)/N + if model[dist_key]["empirical"]: + N_model = model[dist_key]["N"] + n_eval = sum(model[dist_key]["sample"]<point) + p_model = n_eval/N_model + else: + X = model[dist_key]["distribution"] + p_model = X.cdf(point) + + print(f'---------------------------------------') + print(f' Results for {model["name"]}, case {dist_key}') + print(f' Comparison, Empirical Values in ( )') + print(f'---------------------------------------') + print(f'P[X<x] = {p_model:.5f} ({p_data:.5f})') + print(f'P[X>x] = {1 - p_model:.5f} ({1 - p_data:.5f})') + print(f'There are {N} points in the data set.') + if model[dist_key]["empirical"]: + print(f'This distribution is from MCS:') + print(f' number of smaples = {N_model}') + print(f'---------------------------------------') + +def ecdf(var): + """Empirical cdf from list or array. Returns [F(x), x].""" + x = np.sort(var) + n = x.size + y = np.arange(1, n+1) / (n + 1) + return [y, x] + +def ecdf_inverse(p, data, exceedance=False): + """Compute x = F^-1(p) for an empirical distribution.""" + N = len(data) + if exceedance: + p = 1 - p + index = int(np.floor(p*(N + 1))) + x = np.sort(data)[index - 1] + return x + +def semi_log_plots(dist_1, dist_2, exceedance=True): + """Helper function for plot_univariate_comparison. + + dist_1, dist_2: ndarray, list. Empirical distributions. + exceedance: bool. Default (True) plots exceedance, 1 - F(x) + + returns: matplotlib objects fig, ax + """ + fig, ax = plt.subplots(1, 1, figsize=(8, 5)) + + e_dist_1 = ecdf(dist_1) + e_dist_2 = ecdf(dist_2) + if exceedance: + e_dist_1[0] = 1 - e_dist_1[0] + e_dist_2[0] = 1 - e_dist_2[0] + + ax.step(e_dist_1[1], e_dist_1[0], + color='k', label='Data') + ax.step(e_dist_2[1], e_dist_2[0], + color='r', label='MCS Sample') + ax.set_xlabel('$Z(X_1,X_2)$') + ax.set_yscale('log') + ax.legend() + ax.grid() + return fig, ax + +def plot_univariate_comparison(rv_dictionary, dist_key, plot_values): + """Compare univariate plots. + + Assumes model is an empirical distribution (MCS + + rv_dictionary: dict. Created from univariate_RV_dict() + dist_key: str. Name of probability model + plot_values: array, list (size 4). Limits of X and Y, respectively. + returns: none, except printed output. + """ + + data = rv_dictionary["data"] + model = rv_dictionary[dist_key]["sample"] + + fig, ax = plt.subplots(1) + ax.hist([data, model], + bins=plot_values, + density=True, + edgecolor='black'); + ax.legend(['Data', 'MCS Sample']) + ax.set_xlabel('$Z(X_1,X_2)$') + ax.set_ylabel('Empirical Density [--]') + ax.set_title('Comparison of Distributions of $Z$'); + + fig, ax = semi_log_plots(data, model, exceedance=False) + ax.set_ylabel('CDF, $\mathrm{P}[Z < z]$') + ax.set_title('Comparison: CDF (log scale expands lower tail)') + + fig, ax = semi_log_plots(data, model, exceedance=True) + ax.set_ylabel('CDF, $\mathrm{P}[Z < z]$') + ax.set_title('Comparison: CDF (log scale expands lower tail)') \ No newline at end of file diff --git a/figures/template_blank.svg b/figures/template_blank.svg new file mode 100644 index 0000000..39783aa --- /dev/null +++ b/figures/template_blank.svg @@ -0,0 +1,534 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2024-02-18T07:45:46.054013</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.8.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="text_1"> + <!-- xlabel [$x-units$] --> + <g transform="translate(233.36 400.64) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-78" d="M 47 0 +L 1259 1725 +L 138 3319 +L 841 3319 +L 1350 2541 +Q 1494 2319 1581 2169 +Q 1719 2375 1834 2534 +L 2394 3319 +L 3066 3319 +L 1919 1756 +L 3153 0 +L 2463 0 +L 1781 1031 +L 1600 1309 +L 728 0 +L 47 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6c" d="M 409 0 +L 409 4581 +L 972 4581 +L 972 0 +L 409 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-61" d="M 2588 409 +Q 2275 144 1986 34 +Q 1697 -75 1366 -75 +Q 819 -75 525 192 +Q 231 459 231 875 +Q 231 1119 342 1320 +Q 453 1522 633 1644 +Q 813 1766 1038 1828 +Q 1203 1872 1538 1913 +Q 2219 1994 2541 2106 +Q 2544 2222 2544 2253 +Q 2544 2597 2384 2738 +Q 2169 2928 1744 2928 +Q 1347 2928 1158 2789 +Q 969 2650 878 2297 +L 328 2372 +Q 403 2725 575 2942 +Q 747 3159 1072 3276 +Q 1397 3394 1825 3394 +Q 2250 3394 2515 3294 +Q 2781 3194 2906 3042 +Q 3031 2891 3081 2659 +Q 3109 2516 3109 2141 +L 3109 1391 +Q 3109 606 3145 398 +Q 3181 191 3288 0 +L 2700 0 +Q 2613 175 2588 409 +z +M 2541 1666 +Q 2234 1541 1622 1453 +Q 1275 1403 1131 1340 +Q 988 1278 909 1158 +Q 831 1038 831 891 +Q 831 666 1001 516 +Q 1172 366 1500 366 +Q 1825 366 2078 508 +Q 2331 650 2450 897 +Q 2541 1088 2541 1459 +L 2541 1666 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-62" d="M 941 0 +L 419 0 +L 419 4581 +L 981 4581 +L 981 2947 +Q 1338 3394 1891 3394 +Q 2197 3394 2470 3270 +Q 2744 3147 2920 2923 +Q 3097 2700 3197 2384 +Q 3297 2069 3297 1709 +Q 3297 856 2875 390 +Q 2453 -75 1863 -75 +Q 1275 -75 941 416 +L 941 0 +z +M 934 1684 +Q 934 1088 1097 822 +Q 1363 388 1816 388 +Q 2184 388 2453 708 +Q 2722 1028 2722 1663 +Q 2722 2313 2464 2622 +Q 2206 2931 1841 2931 +Q 1472 2931 1203 2611 +Q 934 2291 934 1684 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-65" d="M 2694 1069 +L 3275 997 +Q 3138 488 2766 206 +Q 2394 -75 1816 -75 +Q 1088 -75 661 373 +Q 234 822 234 1631 +Q 234 2469 665 2931 +Q 1097 3394 1784 3394 +Q 2450 3394 2872 2941 +Q 3294 2488 3294 1666 +Q 3294 1616 3291 1516 +L 816 1516 +Q 847 969 1125 678 +Q 1403 388 1819 388 +Q 2128 388 2347 550 +Q 2566 713 2694 1069 +z +M 847 1978 +L 2700 1978 +Q 2663 2397 2488 2606 +Q 2219 2931 1791 2931 +Q 1403 2931 1139 2672 +Q 875 2413 847 1978 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-20" transform="scale(0.015625)"/> + <path id="ArialMT-5b" d="M 434 -1272 +L 434 4581 +L 1675 4581 +L 1675 4116 +L 997 4116 +L 997 -806 +L 1675 -806 +L 1675 -1272 +L 434 -1272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-78" d="M 3841 3500 +L 2234 1784 +L 3219 0 +L 2559 0 +L 1819 1388 +L 531 0 +L -166 0 +L 1556 1844 +L 641 3500 +L 1300 3500 +L 1972 2234 +L 3144 3500 +L 3841 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-75" d="M 428 1388 +L 838 3500 +L 1416 3500 +L 1006 1409 +Q 975 1256 961 1147 +Q 947 1038 947 966 +Q 947 700 1109 554 +Q 1272 409 1569 409 +Q 2031 409 2368 721 +Q 2706 1034 2809 1563 +L 3194 3500 +L 3769 3500 +L 3091 0 +L 2516 0 +L 2631 550 +Q 2388 244 2052 76 +Q 1716 -91 1338 -91 +Q 878 -91 622 161 +Q 366 413 366 863 +Q 366 956 381 1097 +Q 397 1238 428 1388 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-6e" d="M 3566 2113 +L 3156 0 +L 2578 0 +L 2988 2091 +Q 3016 2238 3031 2350 +Q 3047 2463 3047 2528 +Q 3047 2791 2881 2937 +Q 2716 3084 2419 3084 +Q 1956 3084 1622 2776 +Q 1288 2469 1184 1941 +L 800 0 +L 225 0 +L 903 3500 +L 1478 3500 +L 1363 2950 +Q 1603 3253 1940 3418 +Q 2278 3584 2650 3584 +Q 3113 3584 3367 3334 +Q 3622 3084 3622 2631 +Q 3622 2519 3608 2391 +Q 3594 2263 3566 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-69" d="M 1172 4863 +L 1747 4863 +L 1606 4134 +L 1031 4134 +L 1172 4863 +z +M 909 3500 +L 1484 3500 +L 800 0 +L 225 0 +L 909 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-74" d="M 2706 3500 +L 2619 3053 +L 1472 3053 +L 1100 1153 +Q 1081 1047 1072 975 +Q 1063 903 1063 863 +Q 1063 663 1183 572 +Q 1303 481 1569 481 +L 2150 481 +L 2053 0 +L 1503 0 +Q 991 0 739 200 +Q 488 400 488 806 +Q 488 878 497 964 +Q 506 1050 525 1153 +L 897 3053 +L 409 3053 +L 500 3500 +L 978 3500 +L 1172 4494 +L 1747 4494 +L 1556 3500 +L 2706 3500 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-73" d="M 3200 3397 +L 3091 2853 +Q 2863 2978 2609 3040 +Q 2356 3103 2088 3103 +Q 1634 3103 1373 2948 +Q 1113 2794 1113 2528 +Q 1113 2219 1719 2053 +Q 1766 2041 1788 2034 +L 1972 1978 +Q 2547 1819 2739 1644 +Q 2931 1469 2931 1166 +Q 2931 609 2489 259 +Q 2047 -91 1331 -91 +Q 1053 -91 747 -37 +Q 441 16 72 128 +L 184 722 +Q 500 559 806 475 +Q 1113 391 1394 391 +Q 1816 391 2080 572 +Q 2344 753 2344 1031 +Q 2344 1331 1650 1516 +L 1591 1531 +L 1394 1581 +Q 956 1697 753 1886 +Q 550 2075 550 2369 +Q 550 2928 970 3256 +Q 1391 3584 2113 3584 +Q 2397 3584 2667 3537 +Q 2938 3491 3200 3397 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5d" d="M 1363 -1272 +L 122 -1272 +L 122 -806 +L 800 -806 +L 800 4116 +L 122 4116 +L 122 4581 +L 1363 4581 +L 1363 -1272 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-78" transform="translate(0 0.015625)"/> + <use xlink:href="#ArialMT-6c" transform="translate(50 0.015625)"/> + <use xlink:href="#ArialMT-61" transform="translate(72.216797 0.015625)"/> + <use xlink:href="#ArialMT-62" transform="translate(127.832031 0.015625)"/> + <use xlink:href="#ArialMT-65" transform="translate(183.447266 0.015625)"/> + <use xlink:href="#ArialMT-6c" transform="translate(239.0625 0.015625)"/> + <use xlink:href="#ArialMT-20" transform="translate(261.279297 0.015625)"/> + <use xlink:href="#ArialMT-5b" transform="translate(289.0625 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-78" transform="translate(316.845703 0.015625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(395.507812 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-75" transform="translate(498.779297 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(562.158203 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-69" transform="translate(625.537109 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-74" transform="translate(653.320312 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-73" transform="translate(692.529297 0.015625)"/> + <use xlink:href="#ArialMT-5d" transform="translate(744.628906 0.015625)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="text_2"> + <!-- ylabel [$y-units$] --> + <g transform="translate(64.48 280) rotate(-90) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-79" d="M 397 -1278 +L 334 -750 +Q 519 -800 656 -800 +Q 844 -800 956 -737 +Q 1069 -675 1141 -563 +Q 1194 -478 1313 -144 +Q 1328 -97 1363 -6 +L 103 3319 +L 709 3319 +L 1400 1397 +Q 1534 1031 1641 628 +Q 1738 1016 1872 1384 +L 2581 3319 +L 3144 3319 +L 1881 -56 +Q 1678 -603 1566 -809 +Q 1416 -1088 1222 -1217 +Q 1028 -1347 759 -1347 +Q 597 -1347 397 -1278 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-79" d="M 1588 -325 +Q 1188 -997 936 -1164 +Q 684 -1331 294 -1331 +L -159 -1331 +L -63 -850 +L 269 -850 +Q 509 -850 678 -719 +Q 847 -588 1056 -206 +L 1234 128 +L 459 3500 +L 1069 3500 +L 1650 819 +L 3256 3500 +L 3859 3500 +L 1588 -325 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-79" transform="translate(0 0.015625)"/> + <use xlink:href="#ArialMT-6c" transform="translate(50 0.015625)"/> + <use xlink:href="#ArialMT-61" transform="translate(72.216797 0.015625)"/> + <use xlink:href="#ArialMT-62" transform="translate(127.832031 0.015625)"/> + <use xlink:href="#ArialMT-65" transform="translate(183.447266 0.015625)"/> + <use xlink:href="#ArialMT-6c" transform="translate(239.0625 0.015625)"/> + <use xlink:href="#ArialMT-20" transform="translate(261.279297 0.015625)"/> + <use xlink:href="#ArialMT-5b" transform="translate(289.0625 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-79" transform="translate(316.845703 0.015625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(395.507812 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-75" transform="translate(498.779297 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(562.158203 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-69" transform="translate(625.537109 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-74" transform="translate(653.320312 0.015625)"/> + <use xlink:href="#DejaVuSans-Oblique-73" transform="translate(692.529297 0.015625)"/> + <use xlink:href="#ArialMT-5d" transform="translate(744.628906 0.015625)"/> + </g> + </g> + </g> + <g id="patch_3"> + <path d="M 72 384.48 +L 72 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 72 384.48 +L 518.4 384.48 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="text_3"> + <!-- this is the title --> + <g transform="translate(237.045 45.84) scale(0.192 -0.192)"> + <defs> + <path id="ArialMT-74" d="M 1650 503 +L 1731 6 +Q 1494 -44 1306 -44 +Q 1000 -44 831 53 +Q 663 150 594 308 +Q 525 466 525 972 +L 525 2881 +L 113 2881 +L 113 3319 +L 525 3319 +L 525 4141 +L 1084 4478 +L 1084 3319 +L 1650 3319 +L 1650 2881 +L 1084 2881 +L 1084 941 +Q 1084 700 1114 631 +Q 1144 563 1211 522 +Q 1278 481 1403 481 +Q 1497 481 1650 503 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-68" d="M 422 0 +L 422 4581 +L 984 4581 +L 984 2938 +Q 1378 3394 1978 3394 +Q 2347 3394 2619 3248 +Q 2891 3103 3008 2847 +Q 3125 2591 3125 2103 +L 3125 0 +L 2563 0 +L 2563 2103 +Q 2563 2525 2380 2717 +Q 2197 2909 1863 2909 +Q 1613 2909 1392 2779 +Q 1172 2650 1078 2428 +Q 984 2206 984 1816 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-69" d="M 425 3934 +L 425 4581 +L 988 4581 +L 988 3934 +L 425 3934 +z +M 425 0 +L 425 3319 +L 988 3319 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-73" d="M 197 991 +L 753 1078 +Q 800 744 1014 566 +Q 1228 388 1613 388 +Q 2000 388 2187 545 +Q 2375 703 2375 916 +Q 2375 1106 2209 1216 +Q 2094 1291 1634 1406 +Q 1016 1563 777 1677 +Q 538 1791 414 1992 +Q 291 2194 291 2438 +Q 291 2659 392 2848 +Q 494 3038 669 3163 +Q 800 3259 1026 3326 +Q 1253 3394 1513 3394 +Q 1903 3394 2198 3281 +Q 2494 3169 2634 2976 +Q 2775 2784 2828 2463 +L 2278 2388 +Q 2241 2644 2061 2787 +Q 1881 2931 1553 2931 +Q 1166 2931 1000 2803 +Q 834 2675 834 2503 +Q 834 2394 903 2306 +Q 972 2216 1119 2156 +Q 1203 2125 1616 2013 +Q 2213 1853 2448 1751 +Q 2684 1650 2818 1456 +Q 2953 1263 2953 975 +Q 2953 694 2789 445 +Q 2625 197 2315 61 +Q 2006 -75 1616 -75 +Q 969 -75 630 194 +Q 291 463 197 991 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-74"/> + <use xlink:href="#ArialMT-68" x="27.783203"/> + <use xlink:href="#ArialMT-69" x="83.398438"/> + <use xlink:href="#ArialMT-73" x="105.615234"/> + <use xlink:href="#ArialMT-20" x="155.615234"/> + <use xlink:href="#ArialMT-69" x="183.398438"/> + <use xlink:href="#ArialMT-73" x="205.615234"/> + <use xlink:href="#ArialMT-20" x="255.615234"/> + <use xlink:href="#ArialMT-74" x="283.398438"/> + <use xlink:href="#ArialMT-68" x="311.181641"/> + <use xlink:href="#ArialMT-65" x="366.796875"/> + <use xlink:href="#ArialMT-20" x="422.412109"/> + <use xlink:href="#ArialMT-74" x="450.195312"/> + <use xlink:href="#ArialMT-69" x="477.978516"/> + <use xlink:href="#ArialMT-74" x="500.195312"/> + <use xlink:href="#ArialMT-6c" x="527.978516"/> + <use xlink:href="#ArialMT-65" x="550.195312"/> + </g> + </g> + </g> + </g> +</svg> diff --git a/figures/template_cdf.svg b/figures/template_cdf.svg new file mode 100644 index 0000000..e127582 --- /dev/null +++ b/figures/template_cdf.svg @@ -0,0 +1,1191 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2024-02-18T07:44:25.882057</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.8.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="m8b988e6f16" d="M 0 0 +L 0 8 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#m8b988e6f16" x="92.290909" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_1"> + <!-- 0 --> + <g transform="translate(88.155284 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#m8b988e6f16" x="224.622925" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_2"> + <!-- 10 --> + <g transform="translate(216.351675 405.857969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#m8b988e6f16" x="414.298814" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_3"> + <!-- 100 --> + <g transform="translate(401.891939 405.857969) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#m8b988e6f16" x="498.109091" y="384.48" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + </g> + <g id="text_4"> + <!-- Fatalities [$-$] --> + <g transform="translate(249.76 424.081563) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-46" d="M 525 0 +L 525 4581 +L 3616 4581 +L 3616 4041 +L 1131 4041 +L 1131 2622 +L 3281 2622 +L 3281 2081 +L 1131 2081 +L 1131 0 +L 525 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-61" d="M 2588 409 +Q 2275 144 1986 34 +Q 1697 -75 1366 -75 +Q 819 -75 525 192 +Q 231 459 231 875 +Q 231 1119 342 1320 +Q 453 1522 633 1644 +Q 813 1766 1038 1828 +Q 1203 1872 1538 1913 +Q 2219 1994 2541 2106 +Q 2544 2222 2544 2253 +Q 2544 2597 2384 2738 +Q 2169 2928 1744 2928 +Q 1347 2928 1158 2789 +Q 969 2650 878 2297 +L 328 2372 +Q 403 2725 575 2942 +Q 747 3159 1072 3276 +Q 1397 3394 1825 3394 +Q 2250 3394 2515 3294 +Q 2781 3194 2906 3042 +Q 3031 2891 3081 2659 +Q 3109 2516 3109 2141 +L 3109 1391 +Q 3109 606 3145 398 +Q 3181 191 3288 0 +L 2700 0 +Q 2613 175 2588 409 +z +M 2541 1666 +Q 2234 1541 1622 1453 +Q 1275 1403 1131 1340 +Q 988 1278 909 1158 +Q 831 1038 831 891 +Q 831 666 1001 516 +Q 1172 366 1500 366 +Q 1825 366 2078 508 +Q 2331 650 2450 897 +Q 2541 1088 2541 1459 +L 2541 1666 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-74" d="M 1650 503 +L 1731 6 +Q 1494 -44 1306 -44 +Q 1000 -44 831 53 +Q 663 150 594 308 +Q 525 466 525 972 +L 525 2881 +L 113 2881 +L 113 3319 +L 525 3319 +L 525 4141 +L 1084 4478 +L 1084 3319 +L 1650 3319 +L 1650 2881 +L 1084 2881 +L 1084 941 +Q 1084 700 1114 631 +Q 1144 563 1211 522 +Q 1278 481 1403 481 +Q 1497 481 1650 503 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6c" d="M 409 0 +L 409 4581 +L 972 4581 +L 972 0 +L 409 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-69" d="M 425 3934 +L 425 4581 +L 988 4581 +L 988 3934 +L 425 3934 +z +M 425 0 +L 425 3319 +L 988 3319 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-65" d="M 2694 1069 +L 3275 997 +Q 3138 488 2766 206 +Q 2394 -75 1816 -75 +Q 1088 -75 661 373 +Q 234 822 234 1631 +Q 234 2469 665 2931 +Q 1097 3394 1784 3394 +Q 2450 3394 2872 2941 +Q 3294 2488 3294 1666 +Q 3294 1616 3291 1516 +L 816 1516 +Q 847 969 1125 678 +Q 1403 388 1819 388 +Q 2128 388 2347 550 +Q 2566 713 2694 1069 +z +M 847 1978 +L 2700 1978 +Q 2663 2397 2488 2606 +Q 2219 2931 1791 2931 +Q 1403 2931 1139 2672 +Q 875 2413 847 1978 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-73" d="M 197 991 +L 753 1078 +Q 800 744 1014 566 +Q 1228 388 1613 388 +Q 2000 388 2187 545 +Q 2375 703 2375 916 +Q 2375 1106 2209 1216 +Q 2094 1291 1634 1406 +Q 1016 1563 777 1677 +Q 538 1791 414 1992 +Q 291 2194 291 2438 +Q 291 2659 392 2848 +Q 494 3038 669 3163 +Q 800 3259 1026 3326 +Q 1253 3394 1513 3394 +Q 1903 3394 2198 3281 +Q 2494 3169 2634 2976 +Q 2775 2784 2828 2463 +L 2278 2388 +Q 2241 2644 2061 2787 +Q 1881 2931 1553 2931 +Q 1166 2931 1000 2803 +Q 834 2675 834 2503 +Q 834 2394 903 2306 +Q 972 2216 1119 2156 +Q 1203 2125 1616 2013 +Q 2213 1853 2448 1751 +Q 2684 1650 2818 1456 +Q 2953 1263 2953 975 +Q 2953 694 2789 445 +Q 2625 197 2315 61 +Q 2006 -75 1616 -75 +Q 969 -75 630 194 +Q 291 463 197 991 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-20" transform="scale(0.015625)"/> + <path id="ArialMT-5b" d="M 434 -1272 +L 434 4581 +L 1675 4581 +L 1675 4116 +L 997 4116 +L 997 -806 +L 1675 -806 +L 1675 -1272 +L 434 -1272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5d" d="M 1363 -1272 +L 122 -1272 +L 122 -806 +L 800 -806 +L 800 4116 +L 122 4116 +L 122 4581 +L 1363 4581 +L 1363 -1272 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-46" transform="translate(0 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(61.083984 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(116.699219 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(144.482422 0.421875)"/> + <use xlink:href="#ArialMT-6c" transform="translate(200.097656 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(222.314453 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(244.53125 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(272.314453 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(294.53125 0.421875)"/> + <use xlink:href="#ArialMT-73" transform="translate(350.146484 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(400.146484 0.421875)"/> + <use xlink:href="#ArialMT-5b" transform="translate(427.929688 0.421875)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(455.712891 0.421875)"/> + <use xlink:href="#ArialMT-5d" transform="translate(539.501953 0.421875)"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_5"> + <defs> + <path id="m47370438f4" d="M 0 0 +L -8 0 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#m47370438f4" x="72" y="369.36" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_5"> + <!-- 0.030 --> + <g transform="translate(23.283437 374.298984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-33" d="M 2597 2516 +Q 3050 2419 3304 2112 +Q 3559 1806 3559 1356 +Q 3559 666 3084 287 +Q 2609 -91 1734 -91 +Q 1441 -91 1130 -33 +Q 819 25 488 141 +L 488 750 +Q 750 597 1062 519 +Q 1375 441 1716 441 +Q 2309 441 2620 675 +Q 2931 909 2931 1356 +Q 2931 1769 2642 2001 +Q 2353 2234 1838 2234 +L 1294 2234 +L 1294 2753 +L 1863 2753 +Q 2328 2753 2575 2939 +Q 2822 3125 2822 3475 +Q 2822 3834 2567 4026 +Q 2313 4219 1838 4219 +Q 1578 4219 1281 4162 +Q 984 4106 628 3988 +L 628 4550 +Q 988 4650 1302 4700 +Q 1616 4750 1894 4750 +Q 2613 4750 3031 4423 +Q 3450 4097 3450 3541 +Q 3450 3153 3228 2886 +Q 3006 2619 2597 2516 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + <use xlink:href="#DejaVuSans-33" x="159.033203"/> + <use xlink:href="#DejaVuSans-30" x="222.65625"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_6"> + <g> + <use xlink:href="#m47370438f4" x="72" y="170.91" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_6"> + <!-- 0.660 --> + <g transform="translate(23.283437 175.848984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-36" x="95.410156"/> + <use xlink:href="#DejaVuSans-36" x="159.033203"/> + <use xlink:href="#DejaVuSans-30" x="222.65625"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_7"> + <g> + <use xlink:href="#m47370438f4" x="72" y="107.91" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_7"> + <!-- 0.860 --> + <g transform="translate(23.283437 112.848984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-38" x="95.410156"/> + <use xlink:href="#DejaVuSans-36" x="159.033203"/> + <use xlink:href="#DejaVuSans-30" x="222.65625"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_8"> + <g> + <use xlink:href="#m47370438f4" x="72" y="66.96" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_8"> + <!-- 0.990 --> + <g transform="translate(23.283437 71.898984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-39" d="M 703 97 +L 703 672 +Q 941 559 1184 500 +Q 1428 441 1663 441 +Q 2288 441 2617 861 +Q 2947 1281 2994 2138 +Q 2813 1869 2534 1725 +Q 2256 1581 1919 1581 +Q 1219 1581 811 2004 +Q 403 2428 403 3163 +Q 403 3881 828 4315 +Q 1253 4750 1959 4750 +Q 2769 4750 3195 4129 +Q 3622 3509 3622 2328 +Q 3622 1225 3098 567 +Q 2575 -91 1691 -91 +Q 1453 -91 1209 -44 +Q 966 3 703 97 +z +M 1959 2075 +Q 2384 2075 2632 2365 +Q 2881 2656 2881 3163 +Q 2881 3666 2632 3958 +Q 2384 4250 1959 4250 +Q 1534 4250 1286 3958 +Q 1038 3666 1038 3163 +Q 1038 2656 1286 2365 +Q 1534 2075 1959 2075 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-39" x="95.410156"/> + <use xlink:href="#DejaVuSans-39" x="159.033203"/> + <use xlink:href="#DejaVuSans-30" x="222.65625"/> + </g> + </g> + </g> + <g id="text_9"> + <!-- Probability [$-$] --> + <g transform="translate(15.763437 268.96) rotate(-90) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-50" d="M 494 0 +L 494 4581 +L 2222 4581 +Q 2678 4581 2919 4538 +Q 3256 4481 3484 4323 +Q 3713 4166 3852 3881 +Q 3991 3597 3991 3256 +Q 3991 2672 3619 2267 +Q 3247 1863 2275 1863 +L 1100 1863 +L 1100 0 +L 494 0 +z +M 1100 2403 +L 2284 2403 +Q 2872 2403 3119 2622 +Q 3366 2841 3366 3238 +Q 3366 3525 3220 3729 +Q 3075 3934 2838 4000 +Q 2684 4041 2272 4041 +L 1100 4041 +L 1100 2403 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-72" d="M 416 0 +L 416 3319 +L 922 3319 +L 922 2816 +Q 1116 3169 1280 3281 +Q 1444 3394 1641 3394 +Q 1925 3394 2219 3213 +L 2025 2691 +Q 1819 2813 1613 2813 +Q 1428 2813 1281 2702 +Q 1134 2591 1072 2394 +Q 978 2094 978 1738 +L 978 0 +L 416 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6f" d="M 213 1659 +Q 213 2581 725 3025 +Q 1153 3394 1769 3394 +Q 2453 3394 2887 2945 +Q 3322 2497 3322 1706 +Q 3322 1066 3130 698 +Q 2938 331 2570 128 +Q 2203 -75 1769 -75 +Q 1072 -75 642 372 +Q 213 819 213 1659 +z +M 791 1659 +Q 791 1022 1069 705 +Q 1347 388 1769 388 +Q 2188 388 2466 706 +Q 2744 1025 2744 1678 +Q 2744 2294 2464 2611 +Q 2184 2928 1769 2928 +Q 1347 2928 1069 2612 +Q 791 2297 791 1659 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-62" d="M 941 0 +L 419 0 +L 419 4581 +L 981 4581 +L 981 2947 +Q 1338 3394 1891 3394 +Q 2197 3394 2470 3270 +Q 2744 3147 2920 2923 +Q 3097 2700 3197 2384 +Q 3297 2069 3297 1709 +Q 3297 856 2875 390 +Q 2453 -75 1863 -75 +Q 1275 -75 941 416 +L 941 0 +z +M 934 1684 +Q 934 1088 1097 822 +Q 1363 388 1816 388 +Q 2184 388 2453 708 +Q 2722 1028 2722 1663 +Q 2722 2313 2464 2622 +Q 2206 2931 1841 2931 +Q 1472 2931 1203 2611 +Q 934 2291 934 1684 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-79" d="M 397 -1278 +L 334 -750 +Q 519 -800 656 -800 +Q 844 -800 956 -737 +Q 1069 -675 1141 -563 +Q 1194 -478 1313 -144 +Q 1328 -97 1363 -6 +L 103 3319 +L 709 3319 +L 1400 1397 +Q 1534 1031 1641 628 +Q 1738 1016 1872 1384 +L 2581 3319 +L 3144 3319 +L 1881 -56 +Q 1678 -603 1566 -809 +Q 1416 -1088 1222 -1217 +Q 1028 -1347 759 -1347 +Q 597 -1347 397 -1278 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-50" transform="translate(0 0.421875)"/> + <use xlink:href="#ArialMT-72" transform="translate(66.699219 0.421875)"/> + <use xlink:href="#ArialMT-6f" transform="translate(100 0.421875)"/> + <use xlink:href="#ArialMT-62" transform="translate(155.615234 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(211.230469 0.421875)"/> + <use xlink:href="#ArialMT-62" transform="translate(266.845703 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(322.460938 0.421875)"/> + <use xlink:href="#ArialMT-6c" transform="translate(344.677734 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(366.894531 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(389.111328 0.421875)"/> + <use xlink:href="#ArialMT-79" transform="translate(416.894531 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(466.894531 0.421875)"/> + <use xlink:href="#ArialMT-5b" transform="translate(494.677734 0.421875)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(522.460938 0.421875)"/> + <use xlink:href="#ArialMT-5d" transform="translate(606.25 0.421875)"/> + </g> + </g> + </g> + <g id="line2d_9"> + <path d="M 92.290909 369.36 +L 92.290909 170.91 +L 224.622925 170.91 +L 224.622925 107.91 +L 414.298814 107.91 +L 414.298814 66.96 +L 498.109091 66.96 +" clip-path="url(#pf5f56e0faa)" style="fill: none; stroke: #0c2340; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="patch_3"> + <path d="M 72 384.48 +L 72 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 518.4 384.48 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_5"> + <path d="M 72 384.48 +L 518.4 384.48 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_6"> + <path d="M 72 51.84 +L 518.4 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="text_10"> + <!-- } $10^{-3}$ --> + <g transform="translate(431.943083 95.31) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-7d" d="M 1956 1913 +L 1956 1403 +Q 1716 1397 1564 1272 +Q 1413 1147 1363 933 +Q 1313 719 1309 197 +Q 1306 -325 1291 -491 +Q 1263 -756 1186 -914 +Q 1109 -1072 996 -1167 +Q 884 -1263 709 -1313 +Q 591 -1347 322 -1347 +L 147 -1347 +L 147 -856 +L 244 -856 +Q 569 -856 675 -739 +Q 781 -622 781 -213 +Q 781 569 809 778 +Q 859 1125 1009 1333 +Q 1159 1541 1434 1656 +Q 1075 1828 928 2111 +Q 781 2394 781 3066 +Q 781 3675 766 3794 +Q 744 4003 642 4086 +Q 541 4169 244 4169 +L 147 4169 +L 147 4659 +L 322 4659 +Q 628 4659 766 4609 +Q 966 4541 1097 4378 +Q 1228 4216 1267 3969 +Q 1306 3722 1309 3159 +Q 1313 2597 1363 2383 +Q 1413 2169 1564 2044 +Q 1716 1919 1956 1913 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-7d" transform="translate(0 0.765625)"/> + <use xlink:href="#ArialMT-20" transform="translate(33.398438 0.765625)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(61.181641 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(124.804688 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(189.384766 39.046875) scale(0.7)"/> + <use xlink:href="#DejaVuSans-33" transform="translate(248.037109 39.046875) scale(0.7)"/> + </g> + </g> + <g id="text_11"> + <!-- } $10^{-2}$ --> + <g transform="translate(242.267194 150.435) scale(0.16 -0.16)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-7d" transform="translate(0 0.765625)"/> + <use xlink:href="#ArialMT-20" transform="translate(33.398438 0.765625)"/> + <use xlink:href="#DejaVuSans-31" transform="translate(61.181641 0.765625)"/> + <use xlink:href="#DejaVuSans-30" transform="translate(124.804688 0.765625)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(189.384766 39.046875) scale(0.7)"/> + <use xlink:href="#DejaVuSans-32" transform="translate(248.037109 39.046875) scale(0.7)"/> + </g> + </g> + <g id="text_12"> + <!-- Cumulative distribution function, $F_{N}(n) = P(N \leq n)$ --> + <g transform="translate(104.208 45.84) scale(0.192 -0.192)"> + <defs> + <path id="ArialMT-43" d="M 3763 1606 +L 4369 1453 +Q 4178 706 3683 314 +Q 3188 -78 2472 -78 +Q 1731 -78 1267 223 +Q 803 525 561 1097 +Q 319 1669 319 2325 +Q 319 3041 592 3573 +Q 866 4106 1370 4382 +Q 1875 4659 2481 4659 +Q 3169 4659 3637 4309 +Q 4106 3959 4291 3325 +L 3694 3184 +Q 3534 3684 3231 3912 +Q 2928 4141 2469 4141 +Q 1941 4141 1586 3887 +Q 1231 3634 1087 3207 +Q 944 2781 944 2328 +Q 944 1744 1114 1308 +Q 1284 872 1643 656 +Q 2003 441 2422 441 +Q 2931 441 3284 734 +Q 3638 1028 3763 1606 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-75" d="M 2597 0 +L 2597 488 +Q 2209 -75 1544 -75 +Q 1250 -75 995 37 +Q 741 150 617 320 +Q 494 491 444 738 +Q 409 903 409 1263 +L 409 3319 +L 972 3319 +L 972 1478 +Q 972 1038 1006 884 +Q 1059 663 1231 536 +Q 1403 409 1656 409 +Q 1909 409 2131 539 +Q 2353 669 2445 892 +Q 2538 1116 2538 1541 +L 2538 3319 +L 3100 3319 +L 3100 0 +L 2597 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6d" d="M 422 0 +L 422 3319 +L 925 3319 +L 925 2853 +Q 1081 3097 1340 3245 +Q 1600 3394 1931 3394 +Q 2300 3394 2536 3241 +Q 2772 3088 2869 2813 +Q 3263 3394 3894 3394 +Q 4388 3394 4653 3120 +Q 4919 2847 4919 2278 +L 4919 0 +L 4359 0 +L 4359 2091 +Q 4359 2428 4304 2576 +Q 4250 2725 4106 2815 +Q 3963 2906 3769 2906 +Q 3419 2906 3187 2673 +Q 2956 2441 2956 1928 +L 2956 0 +L 2394 0 +L 2394 2156 +Q 2394 2531 2256 2718 +Q 2119 2906 1806 2906 +Q 1569 2906 1367 2781 +Q 1166 2656 1075 2415 +Q 984 2175 984 1722 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-76" d="M 1344 0 +L 81 3319 +L 675 3319 +L 1388 1331 +Q 1503 1009 1600 663 +Q 1675 925 1809 1294 +L 2547 3319 +L 3125 3319 +L 1869 0 +L 1344 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-64" d="M 2575 0 +L 2575 419 +Q 2259 -75 1647 -75 +Q 1250 -75 917 144 +Q 584 363 401 755 +Q 219 1147 219 1656 +Q 219 2153 384 2558 +Q 550 2963 881 3178 +Q 1213 3394 1622 3394 +Q 1922 3394 2156 3267 +Q 2391 3141 2538 2938 +L 2538 4581 +L 3097 4581 +L 3097 0 +L 2575 0 +z +M 797 1656 +Q 797 1019 1065 703 +Q 1334 388 1700 388 +Q 2069 388 2326 689 +Q 2584 991 2584 1609 +Q 2584 2291 2321 2609 +Q 2059 2928 1675 2928 +Q 1300 2928 1048 2622 +Q 797 2316 797 1656 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6e" d="M 422 0 +L 422 3319 +L 928 3319 +L 928 2847 +Q 1294 3394 1984 3394 +Q 2284 3394 2536 3286 +Q 2788 3178 2913 3003 +Q 3038 2828 3088 2588 +Q 3119 2431 3119 2041 +L 3119 0 +L 2556 0 +L 2556 2019 +Q 2556 2363 2490 2533 +Q 2425 2703 2258 2804 +Q 2091 2906 1866 2906 +Q 1506 2906 1245 2678 +Q 984 2450 984 1813 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-66" d="M 556 0 +L 556 2881 +L 59 2881 +L 59 3319 +L 556 3319 +L 556 3672 +Q 556 4006 616 4169 +Q 697 4388 901 4523 +Q 1106 4659 1475 4659 +Q 1713 4659 2000 4603 +L 1916 4113 +Q 1741 4144 1584 4144 +Q 1328 4144 1222 4034 +Q 1116 3925 1116 3625 +L 1116 3319 +L 1763 3319 +L 1763 2881 +L 1116 2881 +L 1116 0 +L 556 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-63" d="M 2588 1216 +L 3141 1144 +Q 3050 572 2676 248 +Q 2303 -75 1759 -75 +Q 1078 -75 664 370 +Q 250 816 250 1647 +Q 250 2184 428 2587 +Q 606 2991 970 3192 +Q 1334 3394 1763 3394 +Q 2303 3394 2647 3120 +Q 2991 2847 3088 2344 +L 2541 2259 +Q 2463 2594 2264 2762 +Q 2066 2931 1784 2931 +Q 1359 2931 1093 2626 +Q 828 2322 828 1663 +Q 828 994 1084 691 +Q 1341 388 1753 388 +Q 2084 388 2306 591 +Q 2528 794 2588 1216 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-2c" d="M 569 0 +L 569 641 +L 1209 641 +L 1209 0 +Q 1209 -353 1084 -570 +Q 959 -788 688 -906 +L 531 -666 +Q 709 -588 793 -436 +Q 878 -284 888 0 +L 569 0 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-46" d="M 1081 4666 +L 3756 4666 +L 3653 4134 +L 1606 4134 +L 1338 2759 +L 3188 2759 +L 3084 2228 +L 1234 2228 +L 800 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-4e" d="M 1081 4666 +L 1931 4666 +L 3219 666 +L 4000 4666 +L 4616 4666 +L 3706 0 +L 2853 0 +L 1569 4025 +L 788 0 +L 172 0 +L 1081 4666 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-28" d="M 1984 4856 +Q 1566 4138 1362 3434 +Q 1159 2731 1159 2009 +Q 1159 1288 1364 580 +Q 1569 -128 1984 -844 +L 1484 -844 +Q 1016 -109 783 600 +Q 550 1309 550 2009 +Q 550 2706 781 3412 +Q 1013 4119 1484 4856 +L 1984 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-6e" d="M 3566 2113 +L 3156 0 +L 2578 0 +L 2988 2091 +Q 3016 2238 3031 2350 +Q 3047 2463 3047 2528 +Q 3047 2791 2881 2937 +Q 2716 3084 2419 3084 +Q 1956 3084 1622 2776 +Q 1288 2469 1184 1941 +L 800 0 +L 225 0 +L 903 3500 +L 1478 3500 +L 1363 2950 +Q 1603 3253 1940 3418 +Q 2278 3584 2650 3584 +Q 3113 3584 3367 3334 +Q 3622 3084 3622 2631 +Q 3622 2519 3608 2391 +Q 3594 2263 3566 2113 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-29" d="M 513 4856 +L 1013 4856 +Q 1481 4119 1714 3412 +Q 1947 2706 1947 2009 +Q 1947 1309 1714 600 +Q 1481 -109 1013 -844 +L 513 -844 +Q 928 -128 1133 580 +Q 1338 1288 1338 2009 +Q 1338 2731 1133 3434 +Q 928 4138 513 4856 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-3d" d="M 678 2906 +L 4684 2906 +L 4684 2381 +L 678 2381 +L 678 2906 +z +M 678 1631 +L 4684 1631 +L 4684 1100 +L 678 1100 +L 678 1631 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-Oblique-50" d="M 1081 4666 +L 2541 4666 +Q 3178 4666 3512 4369 +Q 3847 4072 3847 3500 +Q 3847 2731 3353 2303 +Q 2859 1875 1966 1875 +L 1172 1875 +L 806 0 +L 172 0 +L 1081 4666 +z +M 1613 4147 +L 1275 2394 +L 2069 2394 +Q 2606 2394 2893 2669 +Q 3181 2944 3181 3456 +Q 3181 3784 2986 3965 +Q 2791 4147 2438 4147 +L 1613 4147 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2264" d="M 4684 3175 +L 1684 2309 +L 4684 1453 +L 4684 897 +L 678 2047 +L 678 2578 +L 4684 3725 +L 4684 3175 +z +M 678 531 +L 4684 531 +L 4684 0 +L 678 0 +L 678 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-43" transform="translate(0 0.125)"/> + <use xlink:href="#ArialMT-75" transform="translate(72.216797 0.125)"/> + <use xlink:href="#ArialMT-6d" transform="translate(127.832031 0.125)"/> + <use xlink:href="#ArialMT-75" transform="translate(211.132812 0.125)"/> + <use xlink:href="#ArialMT-6c" transform="translate(266.748047 0.125)"/> + <use xlink:href="#ArialMT-61" transform="translate(288.964844 0.125)"/> + <use xlink:href="#ArialMT-74" transform="translate(344.580078 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(372.363281 0.125)"/> + <use xlink:href="#ArialMT-76" transform="translate(394.580078 0.125)"/> + <use xlink:href="#ArialMT-65" transform="translate(444.580078 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(500.195312 0.125)"/> + <use xlink:href="#ArialMT-64" transform="translate(527.978516 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(583.59375 0.125)"/> + <use xlink:href="#ArialMT-73" transform="translate(605.810547 0.125)"/> + <use xlink:href="#ArialMT-74" transform="translate(655.810547 0.125)"/> + <use xlink:href="#ArialMT-72" transform="translate(683.59375 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(716.894531 0.125)"/> + <use xlink:href="#ArialMT-62" transform="translate(739.111328 0.125)"/> + <use xlink:href="#ArialMT-75" transform="translate(794.726562 0.125)"/> + <use xlink:href="#ArialMT-74" transform="translate(850.341797 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(878.125 0.125)"/> + <use xlink:href="#ArialMT-6f" transform="translate(900.341797 0.125)"/> + <use xlink:href="#ArialMT-6e" transform="translate(955.957031 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(1011.572266 0.125)"/> + <use xlink:href="#ArialMT-66" transform="translate(1039.355469 0.125)"/> + <use xlink:href="#ArialMT-75" transform="translate(1067.138672 0.125)"/> + <use xlink:href="#ArialMT-6e" transform="translate(1122.753906 0.125)"/> + <use xlink:href="#ArialMT-63" transform="translate(1178.369141 0.125)"/> + <use xlink:href="#ArialMT-74" transform="translate(1228.369141 0.125)"/> + <use xlink:href="#ArialMT-69" transform="translate(1256.152344 0.125)"/> + <use xlink:href="#ArialMT-6f" transform="translate(1278.369141 0.125)"/> + <use xlink:href="#ArialMT-6e" transform="translate(1333.984375 0.125)"/> + <use xlink:href="#ArialMT-2c" transform="translate(1389.599609 0.125)"/> + <use xlink:href="#ArialMT-20" transform="translate(1417.382812 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-46" transform="translate(1445.166016 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(1502.685547 -16.28125) scale(0.7)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(1557.783203 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(1596.796875 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(1660.175781 0.125)"/> + <use xlink:href="#DejaVuSans-3d" transform="translate(1718.671875 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-50" transform="translate(1821.943359 0.125)"/> + <use xlink:href="#DejaVuSans-28" transform="translate(1882.246094 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-4e" transform="translate(1921.259766 0.125)"/> + <use xlink:href="#DejaVuSans-2264" transform="translate(2015.546875 0.125)"/> + <use xlink:href="#DejaVuSans-Oblique-6e" transform="translate(2118.818359 0.125)"/> + <use xlink:href="#DejaVuSans-29" transform="translate(2182.197266 0.125)"/> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="pf5f56e0faa"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/figures/template_exp_decay.svg b/figures/template_exp_decay.svg new file mode 100644 index 0000000..e9de5b6 --- /dev/null +++ b/figures/template_exp_decay.svg @@ -0,0 +1,1119 @@ +<?xml version="1.0" encoding="utf-8" standalone="no"?> +<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" + "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> +<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="576pt" height="432pt" viewBox="0 0 576 432" xmlns="http://www.w3.org/2000/svg" version="1.1"> + <metadata> + <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> + <cc:Work> + <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> + <dc:date>2024-02-18T07:45:46.459979</dc:date> + <dc:format>image/svg+xml</dc:format> + <dc:creator> + <cc:Agent> + <dc:title>Matplotlib v3.8.2, https://matplotlib.org/</dc:title> + </cc:Agent> + </dc:creator> + </cc:Work> + </rdf:RDF> + </metadata> + <defs> + <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style> + </defs> + <g id="figure_1"> + <g id="patch_1"> + <path d="M 0 432 +L 576 432 +L 576 0 +L 0 0 +z +" style="fill: #ffffff"/> + </g> + <g id="axes_1"> + <g id="patch_2"> + <path d="M 72 384.48 +L 518.4 384.48 +L 518.4 51.84 +L 72 51.84 +z +" style="fill: #ffffff"/> + </g> + <g id="matplotlib.axis_1"> + <g id="xtick_1"> + <g id="line2d_1"> + <defs> + <path id="m68aa5098e2" d="M 0 0 +L 0 8 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#m68aa5098e2" x="92.290909" y="369.36" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_1"> + <!-- 0 --> + <g transform="translate(88.155284 390.737969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-30" d="M 2034 4250 +Q 1547 4250 1301 3770 +Q 1056 3291 1056 2328 +Q 1056 1369 1301 889 +Q 1547 409 2034 409 +Q 2525 409 2770 889 +Q 3016 1369 3016 2328 +Q 3016 3291 2770 3770 +Q 2525 4250 2034 4250 +z +M 2034 4750 +Q 2819 4750 3233 4129 +Q 3647 3509 3647 2328 +Q 3647 1150 3233 529 +Q 2819 -91 2034 -91 +Q 1250 -91 836 529 +Q 422 1150 422 2328 +Q 422 3509 836 4129 +Q 1250 4750 2034 4750 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + </g> + </g> + </g> + <g id="xtick_2"> + <g id="line2d_2"> + <g> + <use xlink:href="#m68aa5098e2" x="172.650945" y="369.36" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_2"> + <!-- 20 --> + <g transform="translate(164.379695 390.737969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-32" d="M 1228 531 +L 3431 531 +L 3431 0 +L 469 0 +L 469 531 +Q 828 903 1448 1529 +Q 2069 2156 2228 2338 +Q 2531 2678 2651 2914 +Q 2772 3150 2772 3378 +Q 2772 3750 2511 3984 +Q 2250 4219 1831 4219 +Q 1534 4219 1204 4116 +Q 875 4013 500 3803 +L 500 4441 +Q 881 4594 1212 4672 +Q 1544 4750 1819 4750 +Q 2544 4750 2975 4387 +Q 3406 4025 3406 3419 +Q 3406 3131 3298 2873 +Q 3191 2616 2906 2266 +Q 2828 2175 2409 1742 +Q 1991 1309 1228 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-32"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_3"> + <g id="line2d_3"> + <g> + <use xlink:href="#m68aa5098e2" x="253.010981" y="369.36" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_3"> + <!-- 40 --> + <g transform="translate(244.739731 390.737969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-34" d="M 2419 4116 +L 825 1625 +L 2419 1625 +L 2419 4116 +z +M 2253 4666 +L 3047 4666 +L 3047 1625 +L 3713 1625 +L 3713 1100 +L 3047 1100 +L 3047 0 +L 2419 0 +L 2419 1100 +L 313 1100 +L 313 1709 +L 2253 4666 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-34"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_4"> + <g id="line2d_4"> + <g> + <use xlink:href="#m68aa5098e2" x="333.371017" y="369.36" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_4"> + <!-- 60 --> + <g transform="translate(325.099767 390.737969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-36" d="M 2113 2584 +Q 1688 2584 1439 2293 +Q 1191 2003 1191 1497 +Q 1191 994 1439 701 +Q 1688 409 2113 409 +Q 2538 409 2786 701 +Q 3034 994 3034 1497 +Q 3034 2003 2786 2293 +Q 2538 2584 2113 2584 +z +M 3366 4563 +L 3366 3988 +Q 3128 4100 2886 4159 +Q 2644 4219 2406 4219 +Q 1781 4219 1451 3797 +Q 1122 3375 1075 2522 +Q 1259 2794 1537 2939 +Q 1816 3084 2150 3084 +Q 2853 3084 3261 2657 +Q 3669 2231 3669 1497 +Q 3669 778 3244 343 +Q 2819 -91 2113 -91 +Q 1303 -91 875 529 +Q 447 1150 447 2328 +Q 447 3434 972 4092 +Q 1497 4750 2381 4750 +Q 2619 4750 2861 4703 +Q 3103 4656 3366 4563 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-36"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_5"> + <g id="line2d_5"> + <g> + <use xlink:href="#m68aa5098e2" x="413.731053" y="369.36" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_5"> + <!-- 80 --> + <g transform="translate(405.459803 390.737969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-38" d="M 2034 2216 +Q 1584 2216 1326 1975 +Q 1069 1734 1069 1313 +Q 1069 891 1326 650 +Q 1584 409 2034 409 +Q 2484 409 2743 651 +Q 3003 894 3003 1313 +Q 3003 1734 2745 1975 +Q 2488 2216 2034 2216 +z +M 1403 2484 +Q 997 2584 770 2862 +Q 544 3141 544 3541 +Q 544 4100 942 4425 +Q 1341 4750 2034 4750 +Q 2731 4750 3128 4425 +Q 3525 4100 3525 3541 +Q 3525 3141 3298 2862 +Q 3072 2584 2669 2484 +Q 3125 2378 3379 2068 +Q 3634 1759 3634 1313 +Q 3634 634 3220 271 +Q 2806 -91 2034 -91 +Q 1263 -91 848 271 +Q 434 634 434 1313 +Q 434 1759 690 2068 +Q 947 2378 1403 2484 +z +M 1172 3481 +Q 1172 3119 1398 2916 +Q 1625 2713 2034 2713 +Q 2441 2713 2670 2916 +Q 2900 3119 2900 3481 +Q 2900 3844 2670 4047 +Q 2441 4250 2034 4250 +Q 1625 4250 1398 4047 +Q 1172 3844 1172 3481 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-38"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + </g> + </g> + </g> + <g id="xtick_6"> + <g id="line2d_6"> + <g> + <use xlink:href="#m68aa5098e2" x="494.091089" y="369.36" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_6"> + <!-- 100 --> + <g transform="translate(481.684214 390.737969) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-31" d="M 794 531 +L 1825 531 +L 1825 4091 +L 703 3866 +L 703 4441 +L 1819 4666 +L 2450 4666 +L 2450 531 +L 3481 531 +L 3481 0 +L 794 0 +L 794 531 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-30" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="127.246094"/> + </g> + </g> + </g> + <g id="text_7"> + <!-- Year --> + <g transform="translate(279.0325 408.894063) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-59" d="M 1784 0 +L 1784 1941 +L 19 4581 +L 756 4581 +L 1659 3200 +Q 1909 2813 2125 2425 +Q 2331 2784 2625 3234 +L 3513 4581 +L 4219 4581 +L 2391 1941 +L 2391 0 +L 1784 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-65" d="M 2694 1069 +L 3275 997 +Q 3138 488 2766 206 +Q 2394 -75 1816 -75 +Q 1088 -75 661 373 +Q 234 822 234 1631 +Q 234 2469 665 2931 +Q 1097 3394 1784 3394 +Q 2450 3394 2872 2941 +Q 3294 2488 3294 1666 +Q 3294 1616 3291 1516 +L 816 1516 +Q 847 969 1125 678 +Q 1403 388 1819 388 +Q 2128 388 2347 550 +Q 2566 713 2694 1069 +z +M 847 1978 +L 2700 1978 +Q 2663 2397 2488 2606 +Q 2219 2931 1791 2931 +Q 1403 2931 1139 2672 +Q 875 2413 847 1978 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-61" d="M 2588 409 +Q 2275 144 1986 34 +Q 1697 -75 1366 -75 +Q 819 -75 525 192 +Q 231 459 231 875 +Q 231 1119 342 1320 +Q 453 1522 633 1644 +Q 813 1766 1038 1828 +Q 1203 1872 1538 1913 +Q 2219 1994 2541 2106 +Q 2544 2222 2544 2253 +Q 2544 2597 2384 2738 +Q 2169 2928 1744 2928 +Q 1347 2928 1158 2789 +Q 969 2650 878 2297 +L 328 2372 +Q 403 2725 575 2942 +Q 747 3159 1072 3276 +Q 1397 3394 1825 3394 +Q 2250 3394 2515 3294 +Q 2781 3194 2906 3042 +Q 3031 2891 3081 2659 +Q 3109 2516 3109 2141 +L 3109 1391 +Q 3109 606 3145 398 +Q 3181 191 3288 0 +L 2700 0 +Q 2613 175 2588 409 +z +M 2541 1666 +Q 2234 1541 1622 1453 +Q 1275 1403 1131 1340 +Q 988 1278 909 1158 +Q 831 1038 831 891 +Q 831 666 1001 516 +Q 1172 366 1500 366 +Q 1825 366 2078 508 +Q 2331 650 2450 897 +Q 2541 1088 2541 1459 +L 2541 1666 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-72" d="M 416 0 +L 416 3319 +L 922 3319 +L 922 2816 +Q 1116 3169 1280 3281 +Q 1444 3394 1641 3394 +Q 1925 3394 2219 3213 +L 2025 2691 +Q 1819 2813 1613 2813 +Q 1428 2813 1281 2702 +Q 1134 2591 1072 2394 +Q 978 2094 978 1738 +L 978 0 +L 416 0 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-59"/> + <use xlink:href="#ArialMT-65" x="57.574219"/> + <use xlink:href="#ArialMT-61" x="113.189453"/> + <use xlink:href="#ArialMT-72" x="168.804688"/> + </g> + </g> + </g> + <g id="matplotlib.axis_2"> + <g id="ytick_1"> + <g id="line2d_7"> + <defs> + <path id="m7bc4a8bd29" d="M 0 0 +L -8 0 +" style="stroke: #000000; stroke-width: 2"/> + </defs> + <g> + <use xlink:href="#m7bc4a8bd29" x="92.290909" y="369.36" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_8"> + <!-- 0.0 --> + <g transform="translate(60.116847 374.298984) scale(0.13 -0.13)"> + <defs> + <path id="DejaVuSans-2e" d="M 684 794 +L 1344 794 +L 1344 0 +L 684 0 +L 684 794 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_2"> + <g id="line2d_8"> + <g> + <use xlink:href="#m7bc4a8bd29" x="92.290909" y="308.88" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_9"> + <!-- 0.2 --> + <g transform="translate(60.116847 313.818984) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-32" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_3"> + <g id="line2d_9"> + <g> + <use xlink:href="#m7bc4a8bd29" x="92.290909" y="248.4" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_10"> + <!-- 0.4 --> + <g transform="translate(60.116847 253.338984) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-34" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_4"> + <g id="line2d_10"> + <g> + <use xlink:href="#m7bc4a8bd29" x="92.290909" y="187.92" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_11"> + <!-- 0.6 --> + <g transform="translate(60.116847 192.858984) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-36" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_5"> + <g id="line2d_11"> + <g> + <use xlink:href="#m7bc4a8bd29" x="92.290909" y="127.44" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_12"> + <!-- 0.8 --> + <g transform="translate(60.116847 132.378984) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-30"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-38" x="95.410156"/> + </g> + </g> + </g> + <g id="ytick_6"> + <g id="line2d_12"> + <g> + <use xlink:href="#m7bc4a8bd29" x="92.290909" y="66.96" style="stroke: #000000; stroke-width: 2"/> + </g> + </g> + <g id="text_13"> + <!-- 1.0 --> + <g transform="translate(60.116847 71.898984) scale(0.13 -0.13)"> + <use xlink:href="#DejaVuSans-31"/> + <use xlink:href="#DejaVuSans-2e" x="63.623047"/> + <use xlink:href="#DejaVuSans-30" x="95.410156"/> + </g> + </g> + </g> + <g id="text_14"> + <!-- Normalized Present Value [$-$] --> + <g transform="translate(52.916847 324.48) rotate(-90) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-4e" d="M 488 0 +L 488 4581 +L 1109 4581 +L 3516 984 +L 3516 4581 +L 4097 4581 +L 4097 0 +L 3475 0 +L 1069 3600 +L 1069 0 +L 488 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6f" d="M 213 1659 +Q 213 2581 725 3025 +Q 1153 3394 1769 3394 +Q 2453 3394 2887 2945 +Q 3322 2497 3322 1706 +Q 3322 1066 3130 698 +Q 2938 331 2570 128 +Q 2203 -75 1769 -75 +Q 1072 -75 642 372 +Q 213 819 213 1659 +z +M 791 1659 +Q 791 1022 1069 705 +Q 1347 388 1769 388 +Q 2188 388 2466 706 +Q 2744 1025 2744 1678 +Q 2744 2294 2464 2611 +Q 2184 2928 1769 2928 +Q 1347 2928 1069 2612 +Q 791 2297 791 1659 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6d" d="M 422 0 +L 422 3319 +L 925 3319 +L 925 2853 +Q 1081 3097 1340 3245 +Q 1600 3394 1931 3394 +Q 2300 3394 2536 3241 +Q 2772 3088 2869 2813 +Q 3263 3394 3894 3394 +Q 4388 3394 4653 3120 +Q 4919 2847 4919 2278 +L 4919 0 +L 4359 0 +L 4359 2091 +Q 4359 2428 4304 2576 +Q 4250 2725 4106 2815 +Q 3963 2906 3769 2906 +Q 3419 2906 3187 2673 +Q 2956 2441 2956 1928 +L 2956 0 +L 2394 0 +L 2394 2156 +Q 2394 2531 2256 2718 +Q 2119 2906 1806 2906 +Q 1569 2906 1367 2781 +Q 1166 2656 1075 2415 +Q 984 2175 984 1722 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6c" d="M 409 0 +L 409 4581 +L 972 4581 +L 972 0 +L 409 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-69" d="M 425 3934 +L 425 4581 +L 988 4581 +L 988 3934 +L 425 3934 +z +M 425 0 +L 425 3319 +L 988 3319 +L 988 0 +L 425 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-7a" d="M 125 0 +L 125 456 +L 2238 2881 +Q 1878 2863 1603 2863 +L 250 2863 +L 250 3319 +L 2963 3319 +L 2963 2947 +L 1166 841 +L 819 456 +Q 1197 484 1528 484 +L 3063 484 +L 3063 0 +L 125 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-64" d="M 2575 0 +L 2575 419 +Q 2259 -75 1647 -75 +Q 1250 -75 917 144 +Q 584 363 401 755 +Q 219 1147 219 1656 +Q 219 2153 384 2558 +Q 550 2963 881 3178 +Q 1213 3394 1622 3394 +Q 1922 3394 2156 3267 +Q 2391 3141 2538 2938 +L 2538 4581 +L 3097 4581 +L 3097 0 +L 2575 0 +z +M 797 1656 +Q 797 1019 1065 703 +Q 1334 388 1700 388 +Q 2069 388 2326 689 +Q 2584 991 2584 1609 +Q 2584 2291 2321 2609 +Q 2059 2928 1675 2928 +Q 1300 2928 1048 2622 +Q 797 2316 797 1656 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-20" transform="scale(0.015625)"/> + <path id="ArialMT-50" d="M 494 0 +L 494 4581 +L 2222 4581 +Q 2678 4581 2919 4538 +Q 3256 4481 3484 4323 +Q 3713 4166 3852 3881 +Q 3991 3597 3991 3256 +Q 3991 2672 3619 2267 +Q 3247 1863 2275 1863 +L 1100 1863 +L 1100 0 +L 494 0 +z +M 1100 2403 +L 2284 2403 +Q 2872 2403 3119 2622 +Q 3366 2841 3366 3238 +Q 3366 3525 3220 3729 +Q 3075 3934 2838 4000 +Q 2684 4041 2272 4041 +L 1100 4041 +L 1100 2403 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-73" d="M 197 991 +L 753 1078 +Q 800 744 1014 566 +Q 1228 388 1613 388 +Q 2000 388 2187 545 +Q 2375 703 2375 916 +Q 2375 1106 2209 1216 +Q 2094 1291 1634 1406 +Q 1016 1563 777 1677 +Q 538 1791 414 1992 +Q 291 2194 291 2438 +Q 291 2659 392 2848 +Q 494 3038 669 3163 +Q 800 3259 1026 3326 +Q 1253 3394 1513 3394 +Q 1903 3394 2198 3281 +Q 2494 3169 2634 2976 +Q 2775 2784 2828 2463 +L 2278 2388 +Q 2241 2644 2061 2787 +Q 1881 2931 1553 2931 +Q 1166 2931 1000 2803 +Q 834 2675 834 2503 +Q 834 2394 903 2306 +Q 972 2216 1119 2156 +Q 1203 2125 1616 2013 +Q 2213 1853 2448 1751 +Q 2684 1650 2818 1456 +Q 2953 1263 2953 975 +Q 2953 694 2789 445 +Q 2625 197 2315 61 +Q 2006 -75 1616 -75 +Q 969 -75 630 194 +Q 291 463 197 991 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-6e" d="M 422 0 +L 422 3319 +L 928 3319 +L 928 2847 +Q 1294 3394 1984 3394 +Q 2284 3394 2536 3286 +Q 2788 3178 2913 3003 +Q 3038 2828 3088 2588 +Q 3119 2431 3119 2041 +L 3119 0 +L 2556 0 +L 2556 2019 +Q 2556 2363 2490 2533 +Q 2425 2703 2258 2804 +Q 2091 2906 1866 2906 +Q 1506 2906 1245 2678 +Q 984 2450 984 1813 +L 984 0 +L 422 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-74" d="M 1650 503 +L 1731 6 +Q 1494 -44 1306 -44 +Q 1000 -44 831 53 +Q 663 150 594 308 +Q 525 466 525 972 +L 525 2881 +L 113 2881 +L 113 3319 +L 525 3319 +L 525 4141 +L 1084 4478 +L 1084 3319 +L 1650 3319 +L 1650 2881 +L 1084 2881 +L 1084 941 +Q 1084 700 1114 631 +Q 1144 563 1211 522 +Q 1278 481 1403 481 +Q 1497 481 1650 503 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-56" d="M 1803 0 +L 28 4581 +L 684 4581 +L 1875 1253 +Q 2019 853 2116 503 +Q 2222 878 2363 1253 +L 3600 4581 +L 4219 4581 +L 2425 0 +L 1803 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-75" d="M 2597 0 +L 2597 488 +Q 2209 -75 1544 -75 +Q 1250 -75 995 37 +Q 741 150 617 320 +Q 494 491 444 738 +Q 409 903 409 1263 +L 409 3319 +L 972 3319 +L 972 1478 +Q 972 1038 1006 884 +Q 1059 663 1231 536 +Q 1403 409 1656 409 +Q 1909 409 2131 539 +Q 2353 669 2445 892 +Q 2538 1116 2538 1541 +L 2538 3319 +L 3100 3319 +L 3100 0 +L 2597 0 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5b" d="M 434 -1272 +L 434 4581 +L 1675 4581 +L 1675 4116 +L 997 4116 +L 997 -806 +L 1675 -806 +L 1675 -1272 +L 434 -1272 +z +" transform="scale(0.015625)"/> + <path id="DejaVuSans-2212" d="M 678 2272 +L 4684 2272 +L 4684 1741 +L 678 1741 +L 678 2272 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-5d" d="M 1363 -1272 +L 122 -1272 +L 122 -806 +L 800 -806 +L 800 4116 +L 122 4116 +L 122 4581 +L 1363 4581 +L 1363 -1272 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-4e" transform="translate(0 0.421875)"/> + <use xlink:href="#ArialMT-6f" transform="translate(72.216797 0.421875)"/> + <use xlink:href="#ArialMT-72" transform="translate(127.832031 0.421875)"/> + <use xlink:href="#ArialMT-6d" transform="translate(161.132812 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(244.433594 0.421875)"/> + <use xlink:href="#ArialMT-6c" transform="translate(300.048828 0.421875)"/> + <use xlink:href="#ArialMT-69" transform="translate(322.265625 0.421875)"/> + <use xlink:href="#ArialMT-7a" transform="translate(344.482422 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(394.482422 0.421875)"/> + <use xlink:href="#ArialMT-64" transform="translate(450.097656 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(505.712891 0.421875)"/> + <use xlink:href="#ArialMT-50" transform="translate(533.496094 0.421875)"/> + <use xlink:href="#ArialMT-72" transform="translate(600.195312 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(633.496094 0.421875)"/> + <use xlink:href="#ArialMT-73" transform="translate(689.111328 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(739.111328 0.421875)"/> + <use xlink:href="#ArialMT-6e" transform="translate(794.726562 0.421875)"/> + <use xlink:href="#ArialMT-74" transform="translate(850.341797 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(878.125 0.421875)"/> + <use xlink:href="#ArialMT-56" transform="translate(905.908203 0.421875)"/> + <use xlink:href="#ArialMT-61" transform="translate(972.607422 0.421875)"/> + <use xlink:href="#ArialMT-6c" transform="translate(1028.222656 0.421875)"/> + <use xlink:href="#ArialMT-75" transform="translate(1050.439453 0.421875)"/> + <use xlink:href="#ArialMT-65" transform="translate(1106.054688 0.421875)"/> + <use xlink:href="#ArialMT-20" transform="translate(1161.669922 0.421875)"/> + <use xlink:href="#ArialMT-5b" transform="translate(1189.453125 0.421875)"/> + <use xlink:href="#DejaVuSans-2212" transform="translate(1217.236328 0.421875)"/> + <use xlink:href="#ArialMT-5d" transform="translate(1301.025391 0.421875)"/> + </g> + </g> + </g> + <g id="line2d_13"> + <path d="M 92.290909 66.96 +L 100.572913 79.054742 +L 108.854917 90.665744 +L 117.13692 101.812355 +L 125.418924 112.513147 +L 133.700928 122.785953 +L 141.982931 132.647889 +L 150.264935 142.115388 +L 158.546939 151.204227 +L 166.828942 159.92955 +L 175.110946 168.305897 +L 183.39295 176.347225 +L 191.674954 184.066933 +L 199.956957 191.477884 +L 208.238961 198.592429 +L 216.520965 205.422421 +L 224.802968 211.979242 +L 233.084972 218.273818 +L 241.366976 224.316636 +L 249.64898 230.117767 +L 257.930983 235.686877 +L 266.212987 241.033246 +L 274.494991 246.165782 +L 282.776994 251.093038 +L 291.058998 255.823225 +L 299.341002 260.364223 +L 307.623006 264.723601 +L 315.905009 268.908621 +L 324.187013 272.926259 +L 332.469017 276.783207 +L 340.75102 280.485894 +L 349.033024 284.040488 +L 357.315028 287.452914 +L 365.597032 290.728856 +L 373.879035 293.873775 +L 382.161039 296.89291 +L 390.443043 299.791292 +L 398.725046 302.573751 +L 407.00705 305.244923 +L 415.289054 307.809259 +L 423.571058 310.271033 +L 431.853061 312.634345 +L 440.135065 314.903136 +L 448.417069 317.081184 +L 456.699072 319.172119 +L 464.981076 321.179425 +L 473.26308 323.106448 +L 481.545083 324.956397 +L 489.827087 326.732357 +L 498.109091 328.437285 +" clip-path="url(#pa04afab421)" style="fill: none; stroke: #0c2340; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="line2d_14"> + <path d="M 92.290909 66.96 +L 100.572913 90.444756 +L 108.854917 112.105657 +L 117.13692 132.084346 +L 125.418924 150.511466 +L 133.700928 167.507512 +L 141.982931 183.183625 +L 150.264935 197.642311 +L 158.546939 210.978118 +L 166.828942 223.27825 +L 175.110946 234.623139 +L 183.39295 245.086969 +L 191.674954 254.738166 +L 199.956957 263.639839 +L 208.238961 271.850196 +L 216.520965 279.422928 +L 224.802968 286.407552 +L 233.084972 292.849741 +L 241.366976 298.791622 +L 249.64898 304.272049 +L 257.930983 309.326859 +L 266.212987 313.989107 +L 274.494991 318.289279 +L 282.776994 322.255494 +L 291.058998 325.913688 +L 299.341002 329.287782 +L 307.623006 332.39984 +L 315.905009 335.270211 +L 324.187013 337.917666 +L 332.469017 340.359516 +L 340.75102 342.61173 +L 349.033024 344.689033 +L 357.315028 346.605011 +L 365.597032 348.372191 +L 373.879035 350.00213 +L 382.161039 351.505486 +L 390.443043 352.89209 +L 398.725046 354.171008 +L 407.00705 355.350604 +L 415.289054 356.438591 +L 423.571058 357.442083 +L 431.853061 358.367643 +L 440.135065 359.221323 +L 448.417069 360.008706 +L 456.699072 360.734939 +L 464.981076 361.404771 +L 473.26308 362.022584 +L 481.545083 362.592417 +L 489.827087 363.117996 +L 498.109091 363.602758 +" clip-path="url(#pa04afab421)" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="line2d_15"> + <defs> + <path id="m23e399c28c" d="M 3 0 +L -3 -3 +L -3 3 +z +" style="stroke: #000000; stroke-linejoin: miter"/> + </defs> + <g> + <use xlink:href="#m23e399c28c" x="518.4" y="369.36" style="stroke: #000000; stroke-linejoin: miter"/> + </g> + </g> + <g id="line2d_16"> + <defs> + <path id="mc832f2790e" d="M 0 -3 +L -3 3 +L 3 3 +z +" style="stroke: #000000; stroke-linejoin: miter"/> + </defs> + <g> + <use xlink:href="#mc832f2790e" x="92.290909" y="51.84" style="stroke: #000000; stroke-linejoin: miter"/> + </g> + </g> + <g id="patch_3"> + <path d="M 92.290909 369.36 +L 92.290909 51.84 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="patch_4"> + <path d="M 92.290909 369.36 +L 514.181098 369.36 +" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter; stroke-linecap: square"/> + </g> + <g id="legend_1"> + <g id="patch_5"> + <path d="M 432.875 109.905 +L 507.2 109.905 +Q 510.4 109.905 510.4 106.705 +L 510.4 63.04 +Q 510.4 59.84 507.2 59.84 +L 432.875 59.84 +Q 429.675 59.84 429.675 63.04 +L 429.675 106.705 +Q 429.675 109.905 432.875 109.905 +z +" style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/> + </g> + <g id="line2d_17"> + <path d="M 436.075 72.0925 +L 452.075 72.0925 +L 468.075 72.0925 +" style="fill: none; stroke: #0c2340; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_15"> + <!-- 2% --> + <g transform="translate(480.875 77.6925) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-32" d="M 3222 541 +L 3222 0 +L 194 0 +Q 188 203 259 391 +Q 375 700 629 1000 +Q 884 1300 1366 1694 +Q 2113 2306 2375 2664 +Q 2638 3022 2638 3341 +Q 2638 3675 2398 3904 +Q 2159 4134 1775 4134 +Q 1369 4134 1125 3890 +Q 881 3647 878 3216 +L 300 3275 +Q 359 3922 746 4261 +Q 1134 4600 1788 4600 +Q 2447 4600 2831 4234 +Q 3216 3869 3216 3328 +Q 3216 3053 3103 2787 +Q 2991 2522 2730 2228 +Q 2469 1934 1863 1422 +Q 1356 997 1212 845 +Q 1069 694 975 541 +L 3222 541 +z +" transform="scale(0.015625)"/> + <path id="ArialMT-25" d="M 372 3481 +Q 372 3972 619 4315 +Q 866 4659 1334 4659 +Q 1766 4659 2048 4351 +Q 2331 4044 2331 3447 +Q 2331 2866 2045 2552 +Q 1759 2238 1341 2238 +Q 925 2238 648 2547 +Q 372 2856 372 3481 +z +M 1350 4272 +Q 1141 4272 1002 4090 +Q 863 3909 863 3425 +Q 863 2984 1003 2804 +Q 1144 2625 1350 2625 +Q 1563 2625 1702 2806 +Q 1841 2988 1841 3469 +Q 1841 3913 1700 4092 +Q 1559 4272 1350 4272 +z +M 1353 -169 +L 3859 4659 +L 4316 4659 +L 1819 -169 +L 1353 -169 +z +M 3334 1075 +Q 3334 1569 3581 1911 +Q 3828 2253 4300 2253 +Q 4731 2253 5014 1945 +Q 5297 1638 5297 1041 +Q 5297 459 5011 145 +Q 4725 -169 4303 -169 +Q 3888 -169 3611 142 +Q 3334 453 3334 1075 +z +M 4316 1866 +Q 4103 1866 3964 1684 +Q 3825 1503 3825 1019 +Q 3825 581 3965 400 +Q 4106 219 4313 219 +Q 4528 219 4667 400 +Q 4806 581 4806 1063 +Q 4806 1506 4665 1686 +Q 4525 1866 4316 1866 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-32"/> + <use xlink:href="#ArialMT-25" x="55.615234"/> + </g> + </g> + <g id="line2d_18"> + <path d="M 436.075 94.725 +L 452.075 94.725 +L 468.075 94.725 +" style="fill: none; stroke: #00b8c8; stroke-width: 4; stroke-linecap: square"/> + </g> + <g id="text_16"> + <!-- 4% --> + <g transform="translate(480.875 100.325) scale(0.16 -0.16)"> + <defs> + <path id="ArialMT-34" d="M 2069 0 +L 2069 1097 +L 81 1097 +L 81 1613 +L 2172 4581 +L 2631 4581 +L 2631 1613 +L 3250 1613 +L 3250 1097 +L 2631 1097 +L 2631 0 +L 2069 0 +z +M 2069 1613 +L 2069 3678 +L 634 1613 +L 2069 1613 +z +" transform="scale(0.015625)"/> + </defs> + <use xlink:href="#ArialMT-34"/> + <use xlink:href="#ArialMT-25" x="55.615234"/> + </g> + </g> + </g> + </g> + </g> + <defs> + <clipPath id="pa04afab421"> + <rect x="72" y="51.84" width="446.4" height="332.64"/> + </clipPath> + </defs> +</svg> diff --git a/requirements.txt b/requirements.txt new file mode 100644 index 0000000..2949281 --- /dev/null +++ b/requirements.txt @@ -0,0 +1,23 @@ +# toml file is here: https://gitlab.tudelft.nl/interactivetextbooks-citg/extensions/tud-citg-jb-stack/-/blob/main/pyproject.toml?ref_type=heads +--index-url https://__token__:glpat-JduurUdhDczFJzvzZN4G@gitlab.tudelft.nl/api/v4/projects/13957/packages/pypi/simple +citg-jb-stack + +sympy +jupyterquiz +seaborn +pytest +openpyxl + +# docutils version for reference page formatting +# (See JB manual, Issues #21 and #24) +docutils==0.17.1 + +# pyvinecopulib is needed for generating the cover image (cover.ipynb) +# but not included here to prevent build issues on the server. +# In Feb 2024 it installed fine with Python 3.11 venv and pip + +--extra-index-url https://gitlab.tudelft.nl/api/v4/projects/17983/packages/pypi/simple +jupyterbook_patches ~= 0.1.3 +--extra-index-url https://gitlab.tudelft.nl/api/v4/projects/11239/packages/pypi/simple +sphinx-thebe == 0.2.1000 +download_link_replacer @ git+https://gitlab.tudelft.nl/mude/sphinx-download-link-replacer@dlr-0.1.2 \ No newline at end of file