From d6106461179a29776b6408200ba92c25fe9c5701 Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Thu, 9 Jan 2025 12:34:00 -0500 Subject: [PATCH 01/14] Adding template files for JOSS paper --- .github/workflows/draft-pdf.yml | 23 ++ paper/figures/Filt.png | Bin 0 -> 59115 bytes paper/figures/Filt_PD_Combined.png | Bin 0 -> 82095 bytes paper/figures/PD.png | Bin 0 -> 50083 bytes paper/figures/teaspoon_Internet.jpeg | Bin 0 -> 10243 bytes paper/figures/tspPipeline.png | Bin 0 -> 234746 bytes paper/paper.bib | 590 +++++++++++++++++++++++++++ paper/paper.md | 193 +++++++++ 8 files changed, 806 insertions(+) create mode 100644 .github/workflows/draft-pdf.yml create mode 100644 paper/figures/Filt.png create mode 100644 paper/figures/Filt_PD_Combined.png create mode 100644 paper/figures/PD.png create mode 100644 paper/figures/teaspoon_Internet.jpeg create mode 100644 paper/figures/tspPipeline.png create mode 100644 paper/paper.bib create mode 100644 paper/paper.md diff --git a/.github/workflows/draft-pdf.yml b/.github/workflows/draft-pdf.yml new file mode 100644 index 0000000..51a805e --- /dev/null +++ b/.github/workflows/draft-pdf.yml @@ -0,0 +1,23 @@ +on: [push] + +jobs: + paper: + runs-on: ubuntu-latest + name: Paper Draft + steps: + - name: Checkout + uses: actions/checkout@v4 + - name: Build draft PDF + uses: openjournals/openjournals-draft-action@master + with: + journal: joss + # This should be the path to the paper within your repo. + paper-path: paper/paper.md + - name: Upload + uses: actions/upload-artifact@v1 + with: + name: paper + # This is the output path where Pandoc will write the compiled + # PDF. 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{1703.04627}, + Journal = {ArXiv e-prints}, + Keywords = {Astrophysics - Astrophysics of Galaxies}, + Month = mar, + Title = {{Gaps in Globular Cluster Streams: Pal 5 and the Galactic Bar}}, + Year = 2017 +} + +@book{Binney:2008, + url = {http://adsabs.harvard.edu/abs/2008gady.book.....B}, + Author = {{Binney}, J. and {Tremaine}, S.}, + Booktitle = {Galactic Dynamics: Second Edition, by James Binney and Scott Tremaine.~ISBN 978-0-691-13026-2 (HB).~Published by Princeton University Press, Princeton, NJ USA, 2008.}, + Publisher = {Princeton University Press}, + Title = {{Galactic Dynamics: Second Edition}}, + Year = 2008 +} + +@article{gaia, + author = {{Gaia Collaboration}}, + title = "{The Gaia mission}", + journal = {Astronomy and Astrophysics}, + archivePrefix = "arXiv", + eprint = {1609.04153}, + primaryClass = "astro-ph.IM", + keywords = {space vehicles: instruments, Galaxy: structure, astrometry, parallaxes, proper motions, telescopes}, + year = 2016, + month = nov, + volume = 595, + doi = {10.1051/0004-6361/201629272}, + url = {http://adsabs.harvard.edu/abs/2016A%26A...595A...1G}, +} + +@article{astropy, + author = {{Astropy Collaboration}}, + title = "{Astropy: A community Python package for astronomy}", + journal = {Astronomy and Astrophysics}, + archivePrefix = "arXiv", + eprint = {1307.6212}, + primaryClass = "astro-ph.IM", + keywords = {methods: data analysis, methods: miscellaneous, virtual observatory tools}, + year = 2013, + month = oct, + volume = 558, + doi = {10.1051/0004-6361/201322068}, + url = {http://adsabs.harvard.edu/abs/2013A%26A...558A..33A} +} + +@misc{fidgit, + author = {A. M. Smith and K. Thaney and M. Hahnel}, + title = {Fidgit: An ungodly union of GitHub and Figshare}, + year = {2020}, + publisher = {GitHub}, + journal = {GitHub repository}, + url = {https://github.com/arfon/fidgit} +} + +@MastersThesis{Yi2022, + author = {Yi, Wenbo}, + school = {University of Oslo}, + title = {When Hearts Beat as One – Cardiac Dynamics and Synchrony in String Quartet Performances}, + year = {2022}, + url = {https://www.duo.uio.no/handle/10852/96059}, +} + +@Article{Gilpin2021, + author = {Gilpin, William}, + journal = {NeurIPS (Neural Information Processing Systems) 2021}, + title = {Chaos as an interpretable benchmark for forecasting and data-driven modelling}, + year = {2021}, + month = oct, + abstract = {The striking fractal geometry of strange attractors underscores the generative nature of chaos: like probability distributions, chaotic systems can be repeatedly measured to produce arbitrarily-detailed information about the underlying attractor. Chaotic systems thus pose a unique challenge to modern statistical learning techniques, while retaining quantifiable mathematical properties that make them controllable and interpretable as benchmarks. Here, we present a growing database currently comprising 131 known chaotic dynamical systems spanning fields such as astrophysics, climatology, and biochemistry. Each system is paired with precomputed multivariate and univariate time series. Our dataset has comparable scale to existing static time series databases; however, our systems can be re-integrated to produce additional datasets of arbitrary length and granularity. Our dataset is annotated with known mathematical properties of each system, and we perform feature analysis to broadly categorize the diverse dynamics present across the collection. Chaotic systems inherently challenge forecasting models, and across extensive benchmarks we correlate forecasting performance with the degree of chaos present. We also exploit the unique generative properties of our dataset in several proof-of-concept experiments: surrogate transfer learning to improve time series classification, importance sampling to accelerate model training, and benchmarking symbolic regression algorithms.}, + archiveprefix = {arXiv}, + comment = {Cited old tsp paper}, + copyright = {arXiv.org perpetual, non-exclusive license}, + doi = {10.48550/ARXIV.2110.05266}, + eprint = {2110.05266}, + file = {:Gilpin2021 - Chaos As an Interpretable Benchmark for Forecasting and Data Driven Modelling.pdf:PDF}, + keywords = {Machine Learning (cs.LG), Signal Processing (eess.SP), Chaotic Dynamics (nlin.CD), FOS: Computer and information sciences, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Physical sciences}, + primaryclass = {cs.LG}, + publisher = {arXiv}, +} + + +@Article{Myers2023, + author = {Myers, Audun D. and Muñoz, David and Khasawneh, Firas A and Munch, Elizabeth}, + journal = {EPJ Data Science}, + title = {Temporal network analysis using zigzag persistence}, + year = {2023}, + issn = {2193-1127}, + month = mar, + number = {1}, + volume = {12}, + doi = {10.1140/epjds/s13688-023-00379-5}, + publisher = {Springer Science and Business Media LLC}, +} + + +@Article{Myers2023a, + author = {Myers, Audun D. and Chumley, Max M. and Khasawneh, Firas A. and Munch, Elizabeth}, + journal = {Physical Review E}, + title = {Persistent homology of coarse-grained state-space networks}, + year = {2023}, + issn = {2470-0053}, + month = mar, + number = {3}, + pages = {034303}, + volume = {107}, + doi = {10.1103/physreve.107.034303}, + publisher = {American Physical Society (APS)}, +} + + +@Article{Guezel2022, + author = {Güzel, İsmail and Munch, Elizabeth and Khasawneh, Firas A.}, + journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science}, + title = {Detecting bifurcations in dynamical systems with CROCKER plots}, + year = {2022}, + issn = {1089-7682}, + month = sep, + number = {9}, + volume = {32}, + doi = {10.1063/5.0102421}, + publisher = {AIP Publishing}, +} + + +@Article{Myers2023c, + author = {Myers, Audun D. and Khasawneh, Firas A. and Munch, Elizabeth}, + journal = {SIAM Journal on Applied Dynamical Systems}, + title = {Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection}, + year = {2023}, + issn = {1536-0040}, + month = feb, + number = {1}, + pages = {65--89}, + volume = {22}, + doi = {10.1137/22m1476848}, + publisher = {Society for Industrial & Applied Mathematics (SIAM)}, +} + +@Article{Jones2023, + author = {Jones, Benjamin and Wei, Guowei}, + title = {Persistent Directed Flag Laplacian}, + year = {2023}, + month = dec, + abstract = {Topological data analysis (TDA) has had enormous success in science and engineering in the past decade. Persistent topological Laplacians (PTLs) overcome some limitations of persistent homology, a key technique in TDA, and provide substantial insight to the behavior of various geometric and topological objects. This work extends PTLs to directed flag complexes, which are an exciting generalization to flag complexes, also known as clique complexes, that arise naturally in many situations. We introduce the directed flag Laplacian and show that the proposed persistent directed flag Laplacian (PDFL) is a distinct way of analyzing these flag complexes. Example calculations are provided to demonstrate the potential of the proposed PDFL in real world applications.}, + archiveprefix = {arXiv}, + copyright = {Creative Commons Attribution 4.0 International}, + doi = {10.48550/ARXIV.2312.02099}, + eprint = {2312.02099}, + file = {:Jones2023 - Persistent Directed Flag Laplacian.pdf:PDF}, + keywords = {Algebraic Topology (math.AT), FOS: Mathematics}, + primaryclass = {math.AT}, + publisher = {arXiv}, +} + + +@Article{Tanweer2024_FODS, + author = {Tanweer, Sunia and Khasawneh, Firas A. and Munch, Elizabeth}, + journal = {Foundations of Data Science}, + title = {Robust crossings detection in noisy signals using topological signal processing}, + year = {2024}, + issn = {2639-8001}, + number = {2}, + pages = {154--171}, + volume = {6}, + doi = {10.3934/fods.2024006}, + publisher = {American Institute of Mathematical Sciences (AIMS)}, +} + +@PhdThesis{Collins2022, + author = {Collins,Joseph R.}, + title = {Topological Time-Series Classification}, + year = {2022}, + note = {Copyright - Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works; Last updated - 2023-08-04}, + abstract = {We establish a strong connection between Topological Data Analysis (TDA)and the field of time-series classification. This is accomplished via two novel contributions. The first is a method for extracting topological information from a timeseries in a manner which circumvents the expensive computation normally required. The second is an adaption of an existing topological summary to create an efficient topological time-series pooling operator. Taken together, these insights enable anew classifier, TopRocket (Topological Random Convolutional Kernel Transform).Using standard comparison methods, TopRocket ranks second among all univariate time-series classifiers. Further, TopRocket is the best performing scalable classifier. As a final contribution, we provide the fastest available implementation of the algorithm for computing time-series sublevel set persistence. This provides a foundation for further investigation of TDA for time-series classification.This work lies at the intersection of TDA and machine learning, where success is dependent on efficiently extracting topological information from data and using that information with downstream models. For this purpose, we develop an efficient, data-based, topological summary, the Betti pooling operator. We rigorously demonstrate the utility of TopRocket by evaluating its performance against the University of California Riverside (UCR) Time Series Archive, a widely used benchmark collection of data sets. TopRocket is the first TDA-based classifier to obtain state-of-the art results on any similarly competitive problem. We strongly believe that TDA will play a central role in the future of machine learning.}, + isbn = {9798802715796}, + journal = {ProQuest Dissertations and Theses}, + keywords = {Machine learning; Time-series classification; Topological data analysis; Computer science; 0984:Computer science}, + language = {English}, + pages = {105}, + url = {https://ezproxy.msu.edu/login?url=https://www.proquest.com/dissertations-theses/topological-time-series-classification/docview/2671576993/se-2}, +} + +@PhdThesis{Tymochko2022, + author = {Tymochko,Sarah}, + title = {Topological Approaches for Quantifying the Shape of Time Series Data}, + year = {2022}, + note = {Copyright - Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works; Last updated - 2024-02-16}, + abstract = {Topological data analysis (TDA) is field that started only two decades ago and has already shown promise both in theory and in applications. The goal of TDA is to quantify the shape of data in a manner that is concise and robust using concepts from algebraic topology. Persistent homology, arguably the most popular tool from TDA, studies the shape of a filtered space by watching how its homology changes. The output of persistent homology is a persistence diagram, which encodes information about the changing homology. Persistent homology has shown success in various application areas; one ever growing area of study in this field is time series analysis. Nonlinear time series analysis is a research field in and of itself that aims to capture structure in time series data, however, it lacks theoretically justified tools to analyze the resulting structure. Persistent homology comes with a solid theoretical framework, is robust to noise, and quantifies the same type of structure as appears in time series data. Thus combining tools from time series analysis and TDA provides a new approach to analyze and quantify behavior in time series data. One field where time series are prevalent is dynamical systems, since a time series arises from a projection of a solution to a system. Specifically, given a time series, Takens' theorem can be leveraged to embed the time series as a point cloud in a higher dimensional space, where this point cloud is a sampling of the full state space. Then for each time series, persistent homology can be computed on the embedding. The result is a persistence diagram for each time series. The question then becomes how do we analyze this collection of persistence diagrams to learn something about the original time series data? Many people have developed methods to answer this question, through methods such as machine learning or statistics. This dissertation provides several new methods leveraging tools from both TDA and nonlinear time series analysis to study time varying data.}, + isbn = {979-8-209-98467-2}, + journal = {ProQuest Dissertations and Theses}, + keywords = {Applied topology; Signal processing; Time series analysis; Topological data analysis; Applied mathematics; Mathematics; 0364:Applied Mathematics; 0405:Mathematics}, + language = {English}, + pages = {123}, + url = {https://ezproxy.msu.edu/login?url=https://www.proquest.com/dissertations-theses/topological-approaches-quantifying-shape-time/docview/2649015601/se-2}, +} + +@Article{Elchesen2022, + author = {Elchesen, Alex and Hartsock, Iryna and Perea, Jose A. and Rask, Tatum}, + title = {Learning on Persistence Diagrams as Radon Measures}, + year = {2022}, + month = dec, + abstract = {Persistence diagrams are common descriptors of the topological structure of data appearing in various classification and regression tasks. They can be generalized to Radon measures supported on the birth-death plane and endowed with an optimal transport distance. Examples of such measures are expectations of probability distributions on the space of persistence diagrams. In this paper, we develop methods for approximating continuous functions on the space of Radon measures supported on the birth-death plane, as well as their utilization in supervised learning tasks. Indeed, we show that any continuous function defined on a compact subset of the space of such measures (e.g., a classifier or regressor) can be approximated arbitrarily well by polynomial combinations of features computed using a continuous compactly supported function on the birth-death plane (a template). We provide insights into the structure of relatively compact subsets of the space of Radon measures, and test our approximation methodology on various data sets and supervised learning tasks.}, + archiveprefix = {arXiv}, + copyright = {arXiv.org perpetual, non-exclusive license}, + doi = {10.48550/ARXIV.2212.08295}, + eprint = {2212.08295}, + file = {:Elchesen2022 - Learning on Persistence Diagrams As Radon Measures.pdf:PDF:http\://arxiv.org/pdf/2212.08295v1}, + keywords = {Computational Geometry (cs.CG), Machine Learning (cs.LG), Algebraic Topology (math.AT), FOS: Computer and information sciences, FOS: Mathematics, 55N31}, + primaryclass = {cs.CG}, + publisher = {arXiv}, +} + +@Article{Chumley2023, + author = {Chumley, Max M. and Yesilli, Melih C. and Chen, Jisheng and Khasawneh, Firas A. and Guo, Yang}, + journal = {Precision Engineering}, + title = {Pattern characterization using topological data analysis: Application to piezo vibration striking treatment}, + year = {2023}, + issn = {0141-6359}, + month = sep, + pages = {42--57}, + volume = {83}, + doi = {10.1016/j.precisioneng.2023.05.005}, + publisher = {Elsevier BV}, +} + +@InProceedings{Tymochko2019, + author = {Tymochko, Sarah and Munch, Elizabeth and Khasawneh, Firas A.}, + booktitle = {2019 18th IEEE International Conference On Machine Learning And Applications (ICMLA)}, + title = {Adaptive Partitioning for Template Functions on Persistence Diagrams}, + year = {2019}, + month = dec, + publisher = {IEEE}, + doi = {10.1109/icmla.2019.00202}, +} + +@Article{Myers2022, + author = {Myers, Audun D. and Khasawneh, Firas A. and Fasy, Brittany T.}, + journal = {Foundations of Data Science}, + title = {ANAPT: Additive noise analysis for persistence thresholding}, + year = {2022}, + issn = {2639-8001}, + number = {2}, + pages = {243}, + volume = {4}, + doi = {10.3934/fods.2022005}, + publisher = {American Institute of Mathematical Sciences (AIMS)}, +} + +@Article{Perea2022, + author = {Perea, Jose A. and Munch, Elizabeth and Khasawneh, Firas A.}, + journal = {Foundations of Computational Mathematics}, + title = {Approximating Continuous Functions on Persistence Diagrams Using Template Functions}, + year = {2022}, + issn = {1615-3383}, + month = jun, + number = {4}, + pages = {1215--1272}, + volume = {23}, + doi = {10.1007/s10208-022-09567-7}, + publisher = {Springer Science and Business Media LLC}, +} + +@Article{Bauer2021, + author = {Bauer, Ulrich}, + journal = {J. Appl. Comput. Topol.}, + title = {Ripser: efficient computation of {V}ietoris-{R}ips persistence barcodes}, + year = {2021}, + issn = {2367-1726}, + number = {3}, + pages = {391--423}, + volume = {5}, + doi = {10.1007/s41468-021-00071-5}, + fjournal = {Journal of Applied and Computational Topology}, + mrclass = {55N31 (55-04)}, + mrnumber = {4298669}, + url = {https://doi.org/10.1007/s41468-021-00071-5}, +} + +@Misc{Saul2019, + author = {Nathaniel Saul and Chris Tralie}, + title = {Scikit-TDA: Topological Data Analysis for Python}, + year = {2019}, + doi = {10.5281/zenodo.2533369}, + url = {https://doi.org/10.5281/zenodo.2533369}, +} + +@Article{Otter2017, + author = {Nina Otter and Mason A Porter and Ulrike Tillmann and Peter Grindrod and Heather A Harrington}, + journal = {{EPJ} Data Science}, + title = {A roadmap for the computation of persistent homology}, + year = {2017}, + month = {aug}, + number = {1}, + volume = {6}, + creationdate = {2017-11-01T00:00:00}, + doi = {10.1140/epjds/s13688-017-0109-5}, + file = {:Persistence/Computation/Otter2017.pdf:PDF}, + publisher = {Springer Nature}, +} + +@Other{Boissonnat2016, + author = {Jean-Daniel Boissonnat and Marc Glisse and Miroslav Kramar and Cl\'ement Maria and Vincent Rouvreau}, + creationdate = {2018-04-12T00:00:00}, + file = {Bauer2016a.pdf:Bauer2016a.pdf:PDF}, + howpublished = {\url{http://gudhi.gforge.inria.fr/}}, + readstatus = {read}, + title = {{GUDHI}: Geometry Understanding in Higher Dimensions}, + url = {http://gudhi.gforge.inria.fr/}, + year = {2016}, +} + +@Misc{Tauzin2020, + author = {Guillaume Tauzin and Umberto Lupo and Lewis Tunstall and Julian Burella Pérez and Matteo Caorsi and Anibal Medina-Mardones and Alberto Dassatti and Kathryn Hess}, + title = {giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration}, + year = {2020}, + archiveprefix = {arXiv}, + eprint = {2004.02551}, + primaryclass = {cs.LG}, +} + +@Other{Morozov2019, + author = {Dmitriy Morozov}, + groups = {Persistence - Theory}, + howpublished = {\url{http://www.mrzv.org/software/dionysus2/}}, + title = {Dionysus2}, + year = {2019}, +} + +@Article{Fasy2014, + author = {Brittany Terese Fasy and Jisu Kim and Fabrizio Lecci and Clément Maria}, + title = {Introduction to the R package TDA}, + year = {2014}, + month = nov, + abstract = {We present a short tutorial and introduction to using the R package TDA, which provides some tools for Topological Data Analysis. In particular, it includes implementations of functions that, given some data, provide topological information about the underlying space, such as the distance function, the distance to a measure, the kNN density estimator, the kernel density estimator, and the kernel distance. The salient topological features of the sublevel sets (or superlevel sets) of these functions can be quantified with persistent homology. We provide an R interface for the efficient algorithms of the C++ libraries GUDHI, Dionysus and PHAT, including a function for the persistent homology of the Rips filtration, and one for the persistent homology of sublevel sets (or superlevel sets) of arbitrary functions evaluated over a grid of points. The significance of the features in the resulting persistence diagrams can be analyzed with functions that implement recently developed statistical methods. The R package TDA also includes the implementation of an algorithm for density clustering, which allows us to identify the spatial organization of the probability mass associated to a density function and visualize it by means of a dendrogram, the cluster tree.}, + archiveprefix = {arXiv}, + creationdate = {2019-11-11T00:00:00}, + eprint = {http://arxiv.org/abs/1411.1830v2}, + file = {:Fasy2014 - Introduction to the R Package TDA.pdf:PDF:http\://arxiv.org/pdf/1411.1830v2}, + keywords = {cs.MS, cs.CG, stat.CO}, + primaryclass = {cs.MS}, +} + +@InProceedings{BinMasood2019, + author = {Bin Masood, Talha and Budin, Joseph and Falk, Martin and Favelier, Guillaume and Garth, Christoph and Gueunet, Charles and Guillou, Pierre and Hofmann, Lutz and Hristov, Petar and Kamakshidasan, Adhitya and Kappe, Christopher and Klacansky, Pavol and Laurin, Patrick and Levine, Joshua and Lukasczyk, Jonas and Sakurai, Daisuke and Soler, Maxime and Steneteg, Peter and Tierny, Julien and Usher, Will and Vidal, Jules and Wozniak, Michal}, + booktitle = {{TopoInVis}}, + title = {{An Overview of the Topology ToolKit}}, + year = {2019}, +} + +@Book{Dey2021, + author = {Dey, Tamal K. and Wang, Yusu}, + publisher = {Cambridge University Press}, + title = {Computational Topology for Data Analysis}, + year = {2021}, + file = {:MathTextbooks/DeyWang-CTDAbook.pdf:PDF}, +} + +@Article{Bubenik2015, + author = {Peter Bubenik}, + journal = {Journal of Machine Learning Research}, + title = {Statistical Topological Data Analysis using Persistence Landscapes}, + year = {2015}, + pages = {77-102}, + volume = {16}, + creationdate = {2018-08-04T00:00:00}, + file = {Bubenik2015.pdf:Persistence/StatsAndPersistence/Bubenik2015.pdf:PDF}, + keywords = {relevant featurization}, + url = {http://jmlr.org/papers/v16/bubenik15a.html}, +} + +@Article{Adams2017, + author = {Henry Adams and Tegan Emerson and Michael Kirby and Rachel Neville and Chris Peterson and Patrick Shipman and Sofya Chepushtanova and Eric Hanson and Francis Motta and Lori Ziegelmeier}, + journal = {Journal of Machine Learning Research}, + title = {Persistence Images: A Stable Vector Representation of Persistent Homology}, + year = {2017}, + number = {8}, + pages = {1-35}, + volume = {18}, + creationdate = {2018-08-04T00:00:00}, + file = {:MachineLearning/Adams2017.pdf:PDF}, + keywords = {featurization}, + url = {http://jmlr.org/papers/v18/16-337.html}, +} + +@Article{Adcock2016, + author = {Aaron Adcock and Erik Carlsson and Gunnar Carlsson}, + journal = {Homology, Homotopy and Applications}, + title = {The Ring of Algebraic Functions on Persistence Bar Codes}, + year = {2016}, + number = {1}, + pages = {381-402}, + volume = {18}, + creationdate = {2018-08-04T00:00:00}, + doi = {10.4310/HHA.2016.v18.n1.a21}, + file = {Adcock2012.pdf:Persistence/Adcock2012.pdf:PDF;:Persistence/StatsAndPersistence/Machine Learning/Adcock201_HHA_Version.pdf:PDF}, + groups = {Applications of Persistence}, + keywords = {featurization}, + quality = {1}, + ranking = {rank5}, + readstatus = {read}, +} + +@Article{Dey2022, + doi = {10.48550/arxiv.2204.11080}, + url = {https://arxiv.org/abs/2204.11080}, + author = {Dey, Tamal K. and Hou, Tao}, + keywords = {Computational Geometry (cs.CG), Algebraic Topology (math.AT), FOS: Computer and information sciences, FOS: Computer and information sciences, FOS: Mathematics, FOS: Mathematics}, + title = {Fast Computation of Zigzag Persistence}, + publisher = {arXiv}, + year = {2022}, + copyright = {arXiv.org perpetual, non-exclusive license} +} + +@Article{Munch2017, + author = {Elizabeth Munch}, + journal = {Journal of Learning Analytics}, + title = {A User's Guide to Topological Data Analysis}, + year = {2017}, + number = {2}, + volume = {4}, + abstract = {Topological data analysis (TDA) is a collection of powerful tools that can quantify shape and structure in data in order to answer questions from the data's domain. This is done by representing some aspect of the structure of the data in a simplified topological signature. In this article, we introduce two of the most commonly used topological signatures. First, the persistence diagram represents loops and holes in the space by considering connectivity of the data points for a continuum of values rather than a single fixed value. The second topological signature, the mapper graph, returns a 1-dimensional structure representing the shape of the data, and is particularly good for exploration and visualization of the data. While these techniques are based on very sophisticated mathematics, the current ubiquity of available software means that these tools are more accessible than ever to be applied to data by researchers in education and learning, as well as all domain scientists.}, + creationdate = {2018-05-30T00:00:00}, + doi = {10.18608/jla.2017.42.6}, +} + +@Article{Wang2016, + author = {Wang, Minggang and Tian, Lixin}, + journal = {Physica A: Statistical Mechanics and its Applications}, + title = {From time series to complex networks: The phase space coarse graining}, + year = {2016}, + issn = {0378-4371}, + month = nov, + pages = {456--468}, + volume = {461}, + doi = {10.1016/j.physa.2016.06.028}, + publisher = {Elsevier BV}, +} + +@Article{Tanweer2024_NODY, + author = {Tanweer, Sunia and Khasawneh, Firas A. and Munch, Elizabeth and Tempelman, Joshua R.}, + journal = {Nonlinear Dynamics}, + title = {A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems}, + year = {2024}, + issn = {1573-269X}, + month = feb, + number = {6}, + pages = {4687–4703}, + volume = {112}, + doi = {10.1007/s11071-024-09289-1}, + publisher = {Springer Science and Business Media LLC}, + url = {http://dx.doi.org/10.1007/s11071-024-09289-1}, +} + +@Article{Tanweer2024_PREM, + author = {Tanweer, Sunia and Khasawneh, Firas A.}, + journal = {Probabilistic Engineering Mechanics}, + title = {Topological detection of phenomenological bifurcations with unreliable kernel density estimates}, + year = {2024}, + issn = {0266-8920}, + month = apr, + pages = {103634}, + volume = {76}, + doi = {10.1016/j.probengmech.2024.103634}, + publisher = {Elsevier BV}, + url = {http://dx.doi.org/10.1016/j.probengmech.2024.103634}, +} + +@Conference{Myers2020, + author = {Myers, Audun D. and Melih Yesilli and Sarah Tymochko and Firas Khasawneh and Elizabeth Munch}, + booktitle = {Topological Data Analysis and Beyond Workshop at NeurIPS 2020}, + title = {Teaspoon: A comprehensive python package for topological signal processing}, + year = {2020}, + image = {teaspoon.png}, + keywords = {conference}, + url = {https://openreview.net/pdf?id=qUoVqrIcy2P}, +} + +@Article{CrawleyBoevey2015, + author = {Crawley-Boevey, William}, + journal = {Journal of Algebra and Its Applications}, + title = {Decomposition of pointwise finite-dimensional persistence modules}, + year = {2015}, + issn = {1793-6829}, + month = mar, + number = {05}, + pages = {1550066}, + volume = {14}, + doi = {10.1142/s0219498815500668}, + publisher = {World Scientific Pub Co Pte Lt}, +} + +@InProceedings{Myers2023b, + author = {Myers, Audun D. and Kvinge, Henry and Emerson, Tegan}, + booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, + title = {TopFusion: Using Topological Feature Space for Fusion and Imputation in Multi-Modal Data}, + year = {2023}, + month = {June}, + pages = {600-609}, + doi = {10.1109/cvprw59228.2023.00067} +} + +@Article{Chevyrev2018, + author={Chevyrev, Ilya and Nanda, Vidit and Oberhauser, Harald}, + journal={IEEE Transactions on Pattern Analysis and Machine Intelligence}, + title={Persistence Paths and Signature Features in Topological Data Analysis}, + year={2020}, + volume={42}, + number={1}, + pages={192-202}, + keywords={Bars;Extraterrestrial measurements;Algebra;Data analysis;Kernel;Topological data analysis;barcodes;signature features;kernel learning}, + doi={10.1109/TPAMI.2018.2885516}} + + +@InProceedings{Reininghaus2015, + author={Reininghaus, Jan and Huber, Stefan and Bauer, Ulrich and Kwitt, Roland}, + booktitle={2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)}, + title={A stable multi-scale kernel for topological machine learning}, + year={2015}, + volume={}, + number={}, + pages={4741-4748}, + keywords={Yttrium}, + doi={10.1109/CVPR.2015.7299106}} + +@Article{McCullough2015, + author = {McCullough, Michael and Small, Michael and Stemler, Thomas and Iu, Herbert Ho-Ching}, + title = {Time lagged ordinal partition networks for capturing dynamics of continuous dynamical systems}, + journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science}, + year = {2015}, + volume = {25}, + number = {5}, + pages = {053101}, + doi = {10.1063/1.4919075}, + file = {:Dynamics/McCullough2015.pdf:PDF;McCullough2015-arxiv.pdf:Dynamics/TSA/McCullough2015-arxiv.pdf:PDF}, + publisher = {AIP Publishing}, +} + + +@article{myers2024delay, + title={Delay parameter selection in permutation entropy using topological data analysis}, + author={Myers, Audun D and Chumley, Max M and Khasawneh, Firas A}, + journal={La Matematica}, + pages={1--34}, + year={2024}, + publisher={Springer}, + doi = {10.1007/s44007-024-00110-4} +} + +@article{chelidze2017reliable, + title={Reliable estimation of minimum embedding dimension through statistical analysis of nearest neighbors}, + author={Chelidze, David}, + journal={Journal of Computational and Nonlinear Dynamics}, + volume={12}, + number={5}, + pages={051024}, + year={2017}, + publisher={American Society of Mechanical Engineers}, + doi = {10.1115/1.4036814} +} + +@article{cao1997practical, + title={Practical method for determining the minimum embedding dimension of a scalar time series}, + author={Cao, Liangyue}, + journal={Physica D: Nonlinear Phenomena}, + volume={110}, + number={1-2}, + pages={43--50}, + year={1997}, + publisher={Elsevier}, + doi = {10.1016/s0167-2789(97)00118-8} +} + +@Book{Hatcher, + author = {Allen Hatcher}, + publisher = {Cambridge University Press}, + title = {Algebraic Topology}, + year = {2002}, + creationdate = {2011-05-23T00:00:00}, + file = {Hatcher - algebraic topology.pdf:MathTextbooks/Hatcher - algebraic topology.pdf:PDF}, + groups = {Classic Textbooks}, + owner = {liz}, +} + +@Comment{jabref-meta: databaseType:bibtex;} diff --git a/paper/paper.md b/paper/paper.md new file mode 100644 index 0000000..4239a11 --- /dev/null +++ b/paper/paper.md @@ -0,0 +1,193 @@ +--- +title: 'Teaspoon: A Python Package for Topological Signal Processing' +tags: + - Python + - Topological Data Analysis + - Persistent Homology + - Time series analysis + - Topological Signal Processing +authors: + - name: Firas A. Khasawneh + orcid: 0000-0001-7817-7445 + equal-contrib: true + affiliation: "1" # (Multiple affiliations must be quoted) + - name: Elizabeth Munch + equal-contrib: true # (This is how you can denote equal contributions between multiple authors) + corresponding: true # (This is how to denote the corresponding author) + affiliation: 1 + orcid: 0000-0002-9459-9493 + - name: Danielle Barnes + affiliation: 1 + # orcid: 0000-0000-0000-0000 + - name: Max Chumley + affiliation: 1 + orcid: 0000-0002-5335-5409 + - name: İsmail Güzel + affiliation: "4, 5" + orcid: 0000-0002-5888-7025 + - name: Audun D. Myers + affiliation: 2 + orcid: 0000-0001-6268-9227 + - name: Sunia Tanweer + affiliation: 1 + orcid: 0000-0002-7232-0973 + - name: Sarah Tymochko + affiliation: 3 + orcid: 0000-0002-4932-6373 + - name: Melih Yesilli + affiliation: 1 + orcid: 0000-0001-8224-7397 +affiliations: + - name: Michigan State University, East Lansing, MI, USA + index: 1 + - name: Pacific Northwest National Lab (PNNL), USA + index: 2 + - name: University of California, Los Angeles, USA + index: 3 + - name: Network Technologies Department, TÜBİTAK ULAKBİM, Ankara, TÜRKİYE + index: 4 + - name: Institute of Applied Mathematics, Middle East Technical University, Ankara, TÜRKİYE + index: 5 +date: July 2024 +bibliography: paper.bib + +# Optional fields if submitting to a AAS journal too, see this blog post: +# https://blog.joss.theoj.org/2018/12/a-new-collaboration-with-aas-publishings +# aas-doi: 10.3847/xxxxx <- update this with the DOI from AAS once you know it. +# aas-journal: Astrophysical Journal <- The name of the AAS journal. +--- + +# Summary + +The field of topological data analysis (TDA) has risen in the last two decades to become a mature field of research providing a unique perspective on data analysis. +TDA consists of a suite of tools inspired by the field of Algebraic Topology which encodes shape and structure in data in a quantitative manner. +One particular subfield of work has focused on using TDA tools for the analysis of time series, colloquially known as Topological Signal Processing, or TSP. +The python package \texttt{teaspoon} has been built specifically to cater to the needs of researchers working in the field of TSP, with the added benefit that the code can be used for other forms of input data beyond signal. + +Recent work has largely focused on the use of persistent homology and its variants for this context, thus this has been the main tool utilized in \texttt{teaspoon}. +While full discussion of the specifics of persistence is outside the scope of this brief paper, we give a brief introduction here and direct the interested reader to @Dey2021 and @Munch2017 for more information. +Standard homology (see, e.g., @Hatcher) is a construction which builds a vector space for any input topological space $X$ and a given dimension $p$ of structure to be studied. +Denoted $H_p(X)$, the $p=0$ dimensional homology encodes the structure of connected components; $p=1$ encodes loops; $p=2$ encodes voids; and higher dimensional versions exist without the interpretability of these lower dimensional versions. +While homology is defined for a fixed topological space, persistent homology studies the changing homology for a changing topological space. +Indeed, through a fundamental theorem of persistence [@CrawleyBoevey2015], we can use this sequence of vector spaces to determine when $p$-dimensional structures appear (or are born) and disappear (or die). +The persistence diagram is a 2D scatter plot of points, each one giving the (birth, death) coordinates for a particular $p$-dimensional structure. + +![An example filtration of simplicial complexes and the corresponding persistence diagram. \label{fig:example}](figures/Filt_PD_Combined.png) + +As an example, in Figure \ref{fig:example} we have a sequence of topological spaces in which we wish to track how the homology is changing, along with the corresponding persistence diagram (below). +Each red point in the persistence diagram at right represents a connected component (an $H_0$ feature), and each blue point represents a cycle (a $H_1$ feature). +For example, three vertices from $K_0$ are connected by edges in $K_1$, thus there are two persistence points at $(0,1)$ in dimension 0 corresponding to the fact that three connected components have merged into one. +Similarly, a cycle first appears in $K_2$ and is filled in at $K_4$, so there is a persistence point in dimension 1 at (2,4). + +In the following section, we show how persistence can be used in a pipeline for signal processing by aligning each of the steps with the modules of the \texttt{teaspoon} package. + +# Package Modules + +![The basic pipeline of a TSP project aligned with the modules of \texttt{teaspoon}.\label{fig:Pipeline}](figures/tspPipeline.png) + +Many topological signal processing projects can be fit into the pipeline shown in \autoref{fig:Pipeline}. +This pipeline aligns with the five submodules of \texttt{teaspoon}, which we describe in more detail in the following subsections. + + +## *Make Data* + +First, we assume that we are given a collection of time series, perhaps simulated from varying a parameter in a known dynamical system. +For testing purposes, this can be done by generating synthetic data directly from the *MakeData* module. +The main feature of the module is the *Dynamic Systems Library (DynSysLib)* submodule, which includes a wide variety of dynamical systems. +As of writing, this includes maps, autonomous and driven dissipative flows, conservative flows, periodic functions, noise models, and delayed flows. +In addition, there is also synthetic data generation available for other types of data often used in TDA pipelines, including point clouds (such as those drawn from an annulus or torus) and functions (such as Gaussian fields). + + +## *Parameter Selection* + +Once we have a time series, we can apply transforms to prepare the data for different versions of persistence, however these often require parameter choices. +One of the most commonly used transforms in the signal processing literature is the Takens embedding (sometimes called delay coordinate embedding) of the data into $\mathbb{R}^d$ for given dimension $d$ with a delay parameter $\tau$. +The choices of $d$ and $\tau$ for the embedding are subtle, however the *Parameter Selection* module has an extensive array tools for the automated computation of the parameters. +These include the standard options such as mutual information, auto-correlation, and false nearest neighbors; along with newly developed options using TDA and persistent homology to estimate embedding delays [@myers2024delay] by finding the delay that maximizes the 1D persistence lifetime or loop size of the attractor. +We continue to implement algorithms to make this module more comprehensive such as generalizations to the false nearest neighbors method in [@chelidze2017reliable] which uses strands of points to more reliably estimate the embedding dimension when noise is present and similarly, the 'Cao method' [@cao1997practical] has the added benefit of distinguishing deterministic signals from stochastic signals. + +## *Signal Processing* + +The transforms converting a time series into a mathematical structure available for TDA analysis are contained in the *Signal Processing (SP)* module. +This includes both standard tools as well as newly developed techniques that incorporate topological information. +For instance, the Takens embedding is included, which converts an input time series into a point cloud. +However, there are also more recent techniques which convert a time series into a network, such as the Ordinal Partition Network (OPN) [@McCullough2015; @Myers2023c] or the Coarse Grained State Space (CGSS) network [@Wang2016; @Myers2023a]. +Similarly, standard entropy computations are included, as well as persistent (as in persistent homology) entropy. For more conventional time series analysis, a noise robust zero-crossing detection tool [@Tanweer2024_FODS] is included which detects all crossings of a discrete signal at once. +This module also includes the *Texture Analysis* submodule, which provides techniques for comparing experimental and nominal surface textures in manufacturing/machining applications [@Chumley2023]. +The *Stochastic P-Bifurcation Detection* provides homological techniques for automatic and unbiased detection of Phenomenological Bifurcations in stochastic dynamical systems [@Tanweer2024_NODY; @Tanweer2024_PREM]. + +## *Topological Data Analysis* + +After performing any necessary transformations, the *Topological Data Analaysis (TDA)* module has tools for computing topological signatures of data persistence on input data. +This module is largely wrappers for externally available code since much work has already been done to optimize this aspect of the pipeline. +Point cloud persistence, for instance when taking the Takens embedding as input, is computed using the external *ripser* python package [@Bauer2021] in Scikit-TDA [@Saul2019]. +Zero dimensional sublevel set persistence is computed with entirely internal code [@Myers2022]. +The module also offers code for computing bottleneck distance---which relies on the *scikit-tda* *persim* package [@Saul2019]---and Wasserstein distance based on Optimal Transport Theory. +There is also code which makes it easier to use the fast zigzag software [@Dey2022] by providing a wrapper for generating the input file given a list of point clouds as well as filtering the resultant persistence diagram. +As newly available code is released and maintained, this means that all internal functions can be switched to other external packages as needed without a great deal of update to the remainder of the code. + +## *Machine Learning* + +Finally, once the time series has been converted into a persistence diagram representation, the *Machine Learning (ML)* module gives a variety of featurization methods to convert the persistence diagram into a vector based representation amenable to regression and classification tasks. +These include +persistence landscapes [@Bubenik2015], +persistence images [@Adams2017], +Carlsson coordinates [@Adcock2016], +template functions [@Perea2022], +path signatures [@Chevyrev2018], +and kernel methods [@Reininghaus2015]. + +# Statement of need + +The \texttt{teaspoon} package is focused on applications of TDA to time series with an emphasis on ease of usability in a Python environment. +Optimization of the computation of persistence itself has been well studied by others and excellent code already exists for this aspect of the pipeline [@Otter2017]. +Where applicable, \texttt{teaspoon} uses these codebanks, particularly for persistent homology computations. +Existing code banks include +Ripser [@Bauer2021], +GUDHI [@Boissonnat2016], +giotto-tda [@Tauzin2020], +dionysus2 [@Morozov2019], +scikit-tda [@Saul2019], +R-TDA [@Fasy2014], +and the Topology Toolkit (TTK) [@BinMasood2019]. +However, persistence in these codebanks is often provided in a very general context. +So, \texttt{teaspoon} fills the gap by providing tailored, well-documented tools for time series that can be used with a lower barrier to entry. +This is not covered in other packages which are meant for broad applicability without specialization. + +# Representative Publications Using Teaspoon + +The \texttt{teaspoon} package was started in 2017 as a GitLab repository, and was ported to GitHub in 2018. +A previous but now outdated paper outlined the basic functionality of \texttt{teaspoon} at the time [@Myers2020]. +Because of its longevity, a non-exhaustive but extensive list of papers +[ +@Chumley2023; +@Elchesen2022; +@Gilpin2021; +@Guezel2022; +@Jones2023; +@Myers2022; +@Myers2023; +@Myers2023a; +@Myers2023b; +@Myers2023c; +@Myers2023; +@Perea2022; +@Tymochko2019 +] +as well as thesis +[ + @Tymochko2022; +@Yi2022; + @Collins2022 +] +have utilized \texttt{teaspoon}. + +# Acknowledgements + +This material is based in part upon work supported by the Air Force Office of Scientific Research under Award No. FA9550-22-1-0007. +It was additionally supported in part by the National Science Foundation through grants +CCF-1907591, +CCF-2106578, +and CCF-2142713. + +# References From 59fce746944b6e747d34a36444aef16a5d7baf64 Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Thu, 9 Jan 2025 12:39:26 -0500 Subject: [PATCH 02/14] Trying to make the compiler work --- .github/workflows/draft-pdf.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/draft-pdf.yml b/.github/workflows/draft-pdf.yml index 51a805e..c4f5f2f 100644 --- a/.github/workflows/draft-pdf.yml +++ b/.github/workflows/draft-pdf.yml @@ -14,7 +14,7 @@ jobs: # This should be the path to the paper within your repo. paper-path: paper/paper.md - 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The idea is to encode an embedded shape using sub-level sets of a a function defined based on a given direction, and then returning the Euler characteristics of these sublevel sets. Because the ECT has been shown to be injective on the space of embedded simplicial complexes, it has been used for applications spanning a range of disciplines, including plant morphology and protein structural analysis. In this survey article, we present a comprehensive overview of the Euler characteristic transform, highlighting the main idea on a simple leaf example, and surveying its its key concepts, theoretical foundations, and available applications.}, + archiveprefix = {arXiv}, + comment = {The work of EM is funded in part by the National Science Foundation through CCF-1907591, CCF-2106578, CCF-2142713, IOS-2310355, IOS-2310356, and IOS-2310357.}, + copyright = {arXiv.org perpetual, non-exclusive license}, + doi = {10.1080/00029890.2024.2409616}, + eprint = {2310.10395}, + file = {:Munch2023 - An Invitation to the Euler Characteristic Transform.pdf:PDF}, + image = {Munch2023.png}, + keywords = {Computational Geometry (cs.CG),FOS: Computer and information sciences,journal}, + primaryclass = {cs.CG}, + publisher = {Taylor \& Francis}, +} + @Comment{jabref-meta: databaseType:bibtex;} diff --git a/paper/paper.md b/paper/paper.md index 4239a11..44eef23 100644 --- a/paper/paper.md +++ b/paper/paper.md @@ -1,54 +1,29 @@ --- -title: 'Teaspoon: A Python Package for Topological Signal Processing' +title: 'ECT: A Python Package for the Euler Characteristic Transform' tags: - Python - Topological Data Analysis - - Persistent Homology - - Time series analysis - - Topological Signal Processing + - Euler Characteristic authors: - - name: Firas A. Khasawneh - orcid: 0000-0001-7817-7445 - equal-contrib: true - affiliation: "1" # (Multiple affiliations must be quoted) - name: Elizabeth Munch - equal-contrib: true # (This is how you can denote equal contributions between multiple authors) corresponding: true # (This is how to denote the corresponding author) affiliation: 1 orcid: 0000-0002-9459-9493 - - name: Danielle Barnes + - name: Yemeen Ayub affiliation: 1 - # orcid: 0000-0000-0000-0000 - - name: Max Chumley + orcid: 0000-0000-0000-0000 + - name: Dan Chitwood affiliation: 1 - orcid: 0000-0002-5335-5409 - - name: İsmail Güzel - affiliation: "4, 5" - orcid: 0000-0002-5888-7025 - - name: Audun D. Myers + orcid: 0000-0000-0000-0000 + - name: Sarah McGuire affiliation: 2 - orcid: 0000-0001-6268-9227 - - name: Sunia Tanweer - affiliation: 1 - orcid: 0000-0002-7232-0973 - - name: Sarah Tymochko - affiliation: 3 - orcid: 0000-0002-4932-6373 - - name: Melih Yesilli - affiliation: 1 - orcid: 0000-0001-8224-7397 + orcid: 0000-0000-0000-0000 affiliations: - name: Michigan State University, East Lansing, MI, USA index: 1 - name: Pacific Northwest National Lab (PNNL), USA index: 2 - - name: University of California, Los Angeles, USA - index: 3 - - name: Network Technologies Department, TÜBİTAK ULAKBİM, Ankara, TÜRKİYE - index: 4 - - name: Institute of Applied Mathematics, Middle East Technical University, Ankara, TÜRKİYE - index: 5 -date: July 2024 +date: Jan 2025 bibliography: paper.bib # Optional fields if submitting to a AAS journal too, see this blog post: @@ -59,135 +34,36 @@ bibliography: paper.bib # Summary -The field of topological data analysis (TDA) has risen in the last two decades to become a mature field of research providing a unique perspective on data analysis. -TDA consists of a suite of tools inspired by the field of Algebraic Topology which encodes shape and structure in data in a quantitative manner. -One particular subfield of work has focused on using TDA tools for the analysis of time series, colloquially known as Topological Signal Processing, or TSP. -The python package \texttt{teaspoon} has been built specifically to cater to the needs of researchers working in the field of TSP, with the added benefit that the code can be used for other forms of input data beyond signal. - -Recent work has largely focused on the use of persistent homology and its variants for this context, thus this has been the main tool utilized in \texttt{teaspoon}. -While full discussion of the specifics of persistence is outside the scope of this brief paper, we give a brief introduction here and direct the interested reader to @Dey2021 and @Munch2017 for more information. -Standard homology (see, e.g., @Hatcher) is a construction which builds a vector space for any input topological space $X$ and a given dimension $p$ of structure to be studied. -Denoted $H_p(X)$, the $p=0$ dimensional homology encodes the structure of connected components; $p=1$ encodes loops; $p=2$ encodes voids; and higher dimensional versions exist without the interpretability of these lower dimensional versions. -While homology is defined for a fixed topological space, persistent homology studies the changing homology for a changing topological space. -Indeed, through a fundamental theorem of persistence [@CrawleyBoevey2015], we can use this sequence of vector spaces to determine when $p$-dimensional structures appear (or are born) and disappear (or die). -The persistence diagram is a 2D scatter plot of points, each one giving the (birth, death) coordinates for a particular $p$-dimensional structure. - -![An example filtration of simplicial complexes and the corresponding persistence diagram. \label{fig:example}](figures/Filt_PD_Combined.png) - -As an example, in Figure \ref{fig:example} we have a sequence of topological spaces in which we wish to track how the homology is changing, along with the corresponding persistence diagram (below). -Each red point in the persistence diagram at right represents a connected component (an $H_0$ feature), and each blue point represents a cycle (a $H_1$ feature). -For example, three vertices from $K_0$ are connected by edges in $K_1$, thus there are two persistence points at $(0,1)$ in dimension 0 corresponding to the fact that three connected components have merged into one. -Similarly, a cycle first appears in $K_2$ and is filled in at $K_4$, so there is a persistence point in dimension 1 at (2,4). - -In the following section, we show how persistence can be used in a pipeline for signal processing by aligning each of the steps with the modules of the \texttt{teaspoon} package. - -# Package Modules +TODO -![The basic pipeline of a TSP project aligned with the modules of \texttt{teaspoon}.\label{fig:Pipeline}](figures/tspPipeline.png) +# The ECT -Many topological signal processing projects can be fit into the pipeline shown in \autoref{fig:Pipeline}. -This pipeline aligns with the five submodules of \texttt{teaspoon}, which we describe in more detail in the following subsections. +**TODO: Get permission for the Matisse example image** +We start by defining the Euler Characteristic Transform, and direct the reader to [@Munch2025] for a full survey article on the subject. -## *Make Data* +To start, we assume our input is an undirected graph $G$ with an embedding in 2D given by a map on the vertices $f: V(G) \to \mathbb{R}^2$. A graph can be constructed as follows. -First, we assume that we are given a collection of time series, perhaps simulated from varying a parameter in a known dynamical system. -For testing purposes, this can be done by generating synthetic data directly from the *MakeData* module. -The main feature of the module is the *Dynamic Systems Library (DynSysLib)* submodule, which includes a wide variety of dynamical systems. -As of writing, this includes maps, autonomous and driven dissipative flows, conservative flows, periodic functions, noise models, and delayed flows. -In addition, there is also synthetic data generation available for other types of data often used in TDA pipelines, including point clouds (such as those drawn from an annulus or torus) and functions (such as Gaussian fields). +![An example of an embedded graph](figures/GraphExample.png) +TODO..... Liz is going to steal content from the tutorials for this. -## *Parameter Selection* - -Once we have a time series, we can apply transforms to prepare the data for different versions of persistence, however these often require parameter choices. -One of the most commonly used transforms in the signal processing literature is the Takens embedding (sometimes called delay coordinate embedding) of the data into $\mathbb{R}^d$ for given dimension $d$ with a delay parameter $\tau$. -The choices of $d$ and $\tau$ for the embedding are subtle, however the *Parameter Selection* module has an extensive array tools for the automated computation of the parameters. -These include the standard options such as mutual information, auto-correlation, and false nearest neighbors; along with newly developed options using TDA and persistent homology to estimate embedding delays [@myers2024delay] by finding the delay that maximizes the 1D persistence lifetime or loop size of the attractor. -We continue to implement algorithms to make this module more comprehensive such as generalizations to the false nearest neighbors method in [@chelidze2017reliable] which uses strands of points to more reliably estimate the embedding dimension when noise is present and similarly, the 'Cao method' [@cao1997practical] has the added benefit of distinguishing deterministic signals from stochastic signals. - -## *Signal Processing* - -The transforms converting a time series into a mathematical structure available for TDA analysis are contained in the *Signal Processing (SP)* module. -This includes both standard tools as well as newly developed techniques that incorporate topological information. -For instance, the Takens embedding is included, which converts an input time series into a point cloud. -However, there are also more recent techniques which convert a time series into a network, such as the Ordinal Partition Network (OPN) [@McCullough2015; @Myers2023c] or the Coarse Grained State Space (CGSS) network [@Wang2016; @Myers2023a]. -Similarly, standard entropy computations are included, as well as persistent (as in persistent homology) entropy. For more conventional time series analysis, a noise robust zero-crossing detection tool [@Tanweer2024_FODS] is included which detects all crossings of a discrete signal at once. -This module also includes the *Texture Analysis* submodule, which provides techniques for comparing experimental and nominal surface textures in manufacturing/machining applications [@Chumley2023]. -The *Stochastic P-Bifurcation Detection* provides homological techniques for automatic and unbiased detection of Phenomenological Bifurcations in stochastic dynamical systems [@Tanweer2024_NODY; @Tanweer2024_PREM]. - -## *Topological Data Analysis* - -After performing any necessary transformations, the *Topological Data Analaysis (TDA)* module has tools for computing topological signatures of data persistence on input data. -This module is largely wrappers for externally available code since much work has already been done to optimize this aspect of the pipeline. -Point cloud persistence, for instance when taking the Takens embedding as input, is computed using the external *ripser* python package [@Bauer2021] in Scikit-TDA [@Saul2019]. -Zero dimensional sublevel set persistence is computed with entirely internal code [@Myers2022]. -The module also offers code for computing bottleneck distance---which relies on the *scikit-tda* *persim* package [@Saul2019]---and Wasserstein distance based on Optimal Transport Theory. -There is also code which makes it easier to use the fast zigzag software [@Dey2022] by providing a wrapper for generating the input file given a list of point clouds as well as filtering the resultant persistence diagram. -As newly available code is released and maintained, this means that all internal functions can be switched to other external packages as needed without a great deal of update to the remainder of the code. +# Statement of need -## *Machine Learning* +**TODO: Are there any existing ECT packages?** -Finally, once the time series has been converted into a persistence diagram representation, the *Machine Learning (ML)* module gives a variety of featurization methods to convert the persistence diagram into a vector based representation amenable to regression and classification tasks. -These include -persistence landscapes [@Bubenik2015], -persistence images [@Adams2017], -Carlsson coordinates [@Adcock2016], -template functions [@Perea2022], -path signatures [@Chevyrev2018], -and kernel methods [@Reininghaus2015]. +Yemeen is going to find any needed references. -# Statement of need +# Representative Publications Using ECT -The \texttt{teaspoon} package is focused on applications of TDA to time series with an emphasis on ease of usability in a Python environment. -Optimization of the computation of persistence itself has been well studied by others and excellent code already exists for this aspect of the pipeline [@Otter2017]. -Where applicable, \texttt{teaspoon} uses these codebanks, particularly for persistent homology computations. -Existing code banks include -Ripser [@Bauer2021], -GUDHI [@Boissonnat2016], -giotto-tda [@Tauzin2020], -dionysus2 [@Morozov2019], -scikit-tda [@Saul2019], -R-TDA [@Fasy2014], -and the Topology Toolkit (TTK) [@BinMasood2019]. -However, persistence in these codebanks is often provided in a very general context. -So, \texttt{teaspoon} fills the gap by providing tailored, well-documented tools for time series that can be used with a lower barrier to entry. -This is not covered in other packages which are meant for broad applicability without specialization. - -# Representative Publications Using Teaspoon - -The \texttt{teaspoon} package was started in 2017 as a GitLab repository, and was ported to GitHub in 2018. -A previous but now outdated paper outlined the basic functionality of \texttt{teaspoon} at the time [@Myers2020]. -Because of its longevity, a non-exhaustive but extensive list of papers -[ -@Chumley2023; -@Elchesen2022; -@Gilpin2021; -@Guezel2022; -@Jones2023; -@Myers2022; -@Myers2023; -@Myers2023a; -@Myers2023b; -@Myers2023c; -@Myers2023; -@Perea2022; -@Tymochko2019 -] -as well as thesis -[ - @Tymochko2022; -@Yi2022; - @Collins2022 -] -have utilized \texttt{teaspoon}. +Have we actually used it yet? # Acknowledgements -This material is based in part upon work supported by the Air Force Office of Scientific Research under Award No. FA9550-22-1-0007. -It was additionally supported in part by the National Science Foundation through grants +This material is based in part upon work supported in part by the National Science Foundation through grants CCF-1907591, CCF-2106578, and CCF-2142713. +**Get the rest?** # References From 092bd16a809f4e43f2303e61fcae356ed015c162 Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Thu, 9 Jan 2025 16:51:40 -0500 Subject: [PATCH 04/14] Pushing work done today --- .../Tutorial-ECT_for_embedded_graphs.ipynb | 10 +- paper/figures/Filt.png | Bin 59115 -> 0 bytes paper/figures/Filt_PD_Combined.png | Bin 82095 -> 0 bytes paper/figures/GraphExample.png | Bin 12066 -> 0 bytes paper/figures/PD.png | Bin 50083 -> 0 bytes paper/figures/example_graph.png | Bin 0 -> 37355 bytes paper/figures/example_graph_7pi_over_4.png | Bin 0 -> 66193 bytes paper/figures/example_graph_pi_over_2.png | Bin 0 -> 58732 bytes paper/figures/teaspoon_Internet.jpeg | Bin 10243 -> 0 bytes paper/figures/tspPipeline.png | Bin 234746 -> 0 bytes paper/generating_figures.ipynb | 194 ++++++++++++++++++ paper/paper.md | 26 ++- 12 files changed, 224 insertions(+), 6 deletions(-) delete mode 100644 paper/figures/Filt.png delete mode 100644 paper/figures/Filt_PD_Combined.png delete mode 100644 paper/figures/GraphExample.png delete mode 100644 paper/figures/PD.png create mode 100644 paper/figures/example_graph.png create mode 100644 paper/figures/example_graph_7pi_over_4.png create mode 100644 paper/figures/example_graph_pi_over_2.png delete mode 100644 paper/figures/teaspoon_Internet.jpeg delete mode 100644 paper/figures/tspPipeline.png create mode 100644 paper/generating_figures.ipynb diff --git a/doc_source/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb b/doc_source/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb index bd76f7b..9d2478b 100644 --- a/doc_source/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb +++ b/doc_source/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb @@ -117,14 +117,14 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{'A': (-2.3333333333333335, -2.5), 'B': (-0.3333333333333335, -0.5), 'C': (1.6666666666666665, 2.5), 'D': (-0.3333333333333335, 1.5), 'E': (0.6666666666666665, -1.5), 'F': (0.6666666666666665, 0.5)}\n" + "{'A': (-0.6246950475544243, -0.7808688094430304), 'B': (0.0, -0.15617376188860607), 'C': (0.6246950475544243, 0.7808688094430304), 'D': (0.0, 0.4685212856658182), 'E': (0.31234752377721214, -0.4685212856658182), 'F': (0.31234752377721214, 0.15617376188860607)}\n" ] }, { @@ -133,13 +133,13 @@ "" ] }, - "execution_count": 54, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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"\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import networkx as nx" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LICENSE \u001b[34mbuild\u001b[m\u001b[m/ \u001b[34mdoc_source\u001b[m\u001b[m/ \u001b[34mect.egg-info\u001b[m\u001b[m/ \u001b[34mpaper\u001b[m\u001b[m/\n", + "Makefile \u001b[34mdata\u001b[m\u001b[m/ \u001b[34mdocs\u001b[m\u001b[m/ \u001b[34mlogo\u001b[m\u001b[m/ pyproject.toml\n", + "README.md \u001b[34mdist\u001b[m\u001b[m/ \u001b[34mect\u001b[m\u001b[m/ make.bat \u001b[34mtests\u001b[m\u001b[m/\n" + ] + } + ], + "source": [ + "ls .." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "

" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Construct an example graph \n", + "# Note that this is the same graph that is returned by:\n", + "# G = create_example_graph()\n", + "\n", + "G = EmbeddedGraph()\n", + "\n", + "G.add_node('A', 1, 2)\n", + "G.add_node('B', 3, 4)\n", + "G.add_node('C', 5, 7)\n", + "G.add_node('D', 3, 6)\n", + "G.add_node('E', 4, 3)\n", + "G.add_node('F', 4, 5)\n", + "\n", + "G.add_edge('A', 'B')\n", + "G.add_edge('B', 'C')\n", + "G.add_edge('B', 'D')\n", + "G.add_edge('B', 'E')\n", + "G.add_edge('C', 'D')\n", + "G.add_edge('E', 'F')\n", + "\n", + "G.set_centered_coordinates()\n", + "\n", + "G.plot()\n", + "plt.savefig('../paper/figures/example_graph.png', bbox_inches='tight', dpi=300)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "G.plot(color_nodes_theta=7*np.pi/4)\n", + "plt.title('Coloring nodes with $g_\\omega$ for $\\\\theta = 7\\pi/4$')\n", + "plt.savefig('../paper/figures/example_graph_7pi_over_4.png', bbox_inches='tight', dpi=300)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "G.plot(color_nodes_theta=2*np.pi/4)\n", + "plt.title('Coloring nodes with $g_\\omega$ for $\\\\theta = \\pi/2$')\n", + "plt.savefig('../paper/figures/example_graph_pi_over_2.png', bbox_inches='tight', dpi=300)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1])" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "myect = ECT(num_dirs = 16, num_thresh=20)\n", + "myect.set_bounding_radius(1.2 * G.get_bounding_radius())\n", + "\n", + "myect.calculateECC(G, np.pi/2,bound_radius=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "myect.plotECC(G, -np.pi/2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/paper/paper.md b/paper/paper.md index 44eef23..3fe23c1 100644 --- a/paper/paper.md +++ b/paper/paper.md @@ -44,7 +44,31 @@ We start by defining the Euler Characteristic Transform, and direct the reader t To start, we assume our input is an undirected graph $G$ with an embedding in 2D given by a map on the vertices $f: V(G) \to \mathbb{R}^2$. A graph can be constructed as follows. -![An example of an embedded graph](figures/GraphExample.png) +![An example of an embedded graph](figures/example_graph.png) + +For a choice of direction $\theta \in [0,2\pi]$, we can induce a function on the vertex set. +Thinking of this as $\omega \in \mathbb{S}^1$ by defining the unit vector $\omega = (\cos(\theta), \sin(\theta))$, the function $g_\omega$ is defined on the vertices of $G$ by taking the dot product of the embedding coordinates with the unit vector, specifically +$$ +g_\omega(v) = \langle f(v), \omega\rangle. +$$ + + +Some examples are shown below. + +![Example 1](figures/example_graph_pi_over_2.png) +![Example 2](figures/example_graph_pi_over_2.png) + +Now we can set up the ECT for the embedded graph. The ECT is defined as +$$ +\begin{matrix} +\text{ECT}(G): & \mathbb{S}^1 & \to & \text{Func}(\mathbb{R}, \mathbb{Z})\\ +& \omega & \mapsto & \{ a \mapsto \chi(g_\omega^{-1}(-\infty,a]) \} +\end{matrix} +$$ + + + + TODO..... Liz is going to steal content from the tutorials for this. From cbf39fb3274ca47c41d4c90aa692d610ca4bf32e Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Mon, 13 Jan 2025 12:14:24 -0500 Subject: [PATCH 05/14] Still workingon the paper but need to switch branches to fix the documentation again --- paper/figures/example_ect.png | Bin 0 -> 62018 bytes paper/figures/example_graph.png | Bin 37355 -> 37229 bytes paper/figures/example_graph_7pi_over_4.png | Bin 66193 -> 65642 bytes paper/figures/example_graph_pi_over_2.png | Bin 58732 -> 58525 bytes paper/generating_figures.ipynb | 154 ++++++++++++++++++--- paper/paper.md | 19 ++- 6 files changed, 155 insertions(+), 18 deletions(-) create mode 100644 paper/figures/example_ect.png diff --git a/paper/figures/example_ect.png b/paper/figures/example_ect.png new file mode 100644 index 0000000000000000000000000000000000000000..ec63b0af5ae97987150f041417ae4938be7aeab5 GIT binary patch literal 62018 zcmdRXd0fuv`u}4L4#pC)v>_CsCMhi{OUaT*o6=%R(n6CKO52PvT2yF~QlyY})kIp& 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plt.title('Coloring nodes with $g_\\omega$ for $\\\\theta = 7\\pi/4$')\n" + ] + }, { "data": { - "image/png": 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", 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", 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" ] @@ -99,12 +109,22 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 6, "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "<>:2: SyntaxWarning: invalid escape sequence '\\o'\n", + "<>:2: SyntaxWarning: invalid escape sequence '\\o'\n", + "/var/folders/lm/dn75vz_d72b1cntn3ncjj10c0000gn/T/ipykernel_55515/3208808667.py:2: SyntaxWarning: invalid escape sequence '\\o'\n", + " plt.title('Coloring nodes with $g_\\omega$ for $\\\\theta = \\pi/2$')\n" + ] + }, { "data": { - "image/png": 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", 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", 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" ] @@ -121,22 +141,26 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1])" + "array([2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", + " 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1])" ] }, - "execution_count": 31, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "myect = ECT(num_dirs = 16, num_thresh=20)\n", + "myect = ECT(num_dirs = 100, num_thresh=100)\n", "myect.set_bounding_radius(1.2 * G.get_bounding_radius())\n", "\n", "myect.calculateECC(G, np.pi/2,bound_radius=True)" @@ -144,12 +168,12 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -162,12 +186,110 @@ "myect.plotECC(G, -np.pi/2)" ] }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "myect.calculateECT(G)\n", + "\n", + "M = myect.get_ECT()\n", + "\n", + "# We can use the built in command to plot the matrix. Unlike the plotECC function, this command does not calculate the ECT when called so it must have been run earlier. An equivalent command is myect.plotECT()\n", + "myect.plot('ECT')\n", + "\n", + "plt.savefig('../paper/figures/example_ect.png', bbox_inches='tight', dpi=300)" + ] + }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## CW Complex version" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "loop of ufunc does not support argument 0 of type Axes which has no callable cos method", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;31mAttributeError\u001b[0m: 'Axes' object has no attribute 'cos'", + "\nThe above exception was the direct cause of the following exception:\n", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[23], line 13\u001b[0m\n\u001b[1;32m 10\u001b[0m K\u001b[38;5;241m.\u001b[39madd_face([\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mA\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mB\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mC\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mD\u001b[39m\u001b[38;5;124m'\u001b[39m])\n\u001b[1;32m 12\u001b[0m \u001b[38;5;66;03m# K.set_centered_coordinates()\u001b[39;00m\n\u001b[0;32m---> 13\u001b[0m K\u001b[38;5;241m.\u001b[39mplot()\n", + "File \u001b[0;32m~/Library/CloudStorage/Dropbox/Math/Code/ect/ect/ect/embed_cw.py:174\u001b[0m, in \u001b[0;36mEmbeddedCW.plot\u001b[0;34m(self, bounding_circle, color_nodes_theta, ax, **kwargs)\u001b[0m\n\u001b[1;32m 171\u001b[0m fig \u001b[38;5;241m=\u001b[39m ax\u001b[38;5;241m.\u001b[39mget_figure()\n\u001b[1;32m 173\u001b[0m ax \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mplot_faces(\u001b[38;5;241m0\u001b[39m, facecolor\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlightblue\u001b[39m\u001b[38;5;124m'\u001b[39m, ax\u001b[38;5;241m=\u001b[39max)\n\u001b[0;32m--> 174\u001b[0m ax \u001b[38;5;241m=\u001b[39m \u001b[38;5;28msuper\u001b[39m()\u001b[38;5;241m.\u001b[39mplot(bounding_circle, color_nodes_theta, ax)\n\u001b[1;32m 175\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m ax\n", + "File \u001b[0;32m~/Library/CloudStorage/Dropbox/Math/Code/ect/ect/ect/embed_graph.py:482\u001b[0m, in \u001b[0;36mEmbeddedGraph.plot\u001b[0;34m(self, bounding_circle, bounding_center_type, color_nodes_theta, ax, with_labels, **kwargs)\u001b[0m\n\u001b[1;32m 480\u001b[0m nx\u001b[38;5;241m.\u001b[39mdraw(\u001b[38;5;28mself\u001b[39m, pos, with_labels\u001b[38;5;241m=\u001b[39mwith_labels, ax\u001b[38;5;241m=\u001b[39max, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)\n\u001b[1;32m 481\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[0;32m--> 482\u001b[0m g \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mg_omega(color_nodes_theta)\n\u001b[1;32m 483\u001b[0m color_map \u001b[38;5;241m=\u001b[39m [g[v] \u001b[38;5;28;01mfor\u001b[39;00m v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mnodes]\n\u001b[1;32m 484\u001b[0m \u001b[38;5;66;03m# Some weird plotting to make the colorbar work.\u001b[39;00m\n", + "File \u001b[0;32m~/Library/CloudStorage/Dropbox/Math/Code/ect/ect/ect/embed_graph.py:347\u001b[0m, in \u001b[0;36mEmbeddedGraph.g_omega\u001b[0;34m(self, theta)\u001b[0m\n\u001b[1;32m 332\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mg_omega\u001b[39m(\u001b[38;5;28mself\u001b[39m, theta):\n\u001b[1;32m 333\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 334\u001b[0m \u001b[38;5;124;03m Function to compute the function :math:`g_\\omega(v)` for all vertices :math:`v` in the graph in the direction of :math:`\\\\theta \\in [0,2\\pi]` . This function is defined by :math:`g_\\omega(v) = \\langle \\\\texttt{pos}(v), \\omega \\\\rangle` .\u001b[39;00m\n\u001b[1;32m 335\u001b[0m \n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 344\u001b[0m \n\u001b[1;32m 345\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m--> 347\u001b[0m omega \u001b[38;5;241m=\u001b[39m (np\u001b[38;5;241m.\u001b[39mcos(theta), np\u001b[38;5;241m.\u001b[39msin(theta))\n\u001b[1;32m 349\u001b[0m g \u001b[38;5;241m=\u001b[39m {}\n\u001b[1;32m 350\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mnodes:\n", + "\u001b[0;31mTypeError\u001b[0m: loop of ufunc does not support argument 0 of type Axes which has no callable cos method" + ] + }, + { + "data": { + "image/png": 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", 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "K = EmbeddedCW()\n", + "\n", + "K.add_node('A', 0,0)\n", + "K.add_node('B', 1,0)\n", + "K.add_node('C', 1,1)\n", + "K.add_node('D', 0,1)\n", + "\n", + "K.add_edges_from((('A', 'B'), ('B', 'C'), ('C', 'D'), ('D', 'A')))\n", + "\n", + "K.add_face(['A', 'B', 'C', 'D'])\n", + "\n", + "# K.set_centered_coordinates()\n", + "K.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] } ], "metadata": { @@ -186,7 +308,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.7" + "version": "3.12.7" } }, "nbformat": 4, diff --git a/paper/paper.md b/paper/paper.md index 3fe23c1..b4a6d5e 100644 --- a/paper/paper.md +++ b/paper/paper.md @@ -34,7 +34,11 @@ bibliography: paper.bib # Summary -TODO +The field of Topological Data Analysis encodes the shape of data in quantifiable representations of the information, sometimes called "topological signatures" or "topological summaries". +The goal is to ensure that these summaries are robust enough to be useable in the face of noise, while having access to fast enough algorithms to make them useful in practice. +Often, these two goals are at odds with each other since the more complex the representation in order to retain as much information as possible generally results in larger computation time. +The Euler Characteristic Transform (ECT) is a construction which is rapidly gaining popularity in Topological Data Analysis settings due to its ability to be both at once: robust to the input providing a provably complete representation of an input embedded shape, while being much faster to compute than its commonly used cousin, the Persistent Homology Transform. +The *ECT* package for Python prsented here provides a fast and well-documented implementation of the ECT for graphs embedded in 2 or 3 dimensions. This new package is particularly timely since access to easy-to-use code will make the ECT accessible to more practitioners and domain scientists interested in using it for applications. ***TODO Assuming we actually have this up to 3d*** # The ECT @@ -65,9 +69,20 @@ $$ & \omega & \mapsto & \{ a \mapsto \chi(g_\omega^{-1}(-\infty,a]) \} \end{matrix} $$ +Perhaps a better way of looking at this same function for visualization purposes is to treat this function as defined on a cylinder, +$$ +\begin{matrix} +\text{ECT}(G): & \mathbb{S}^1 \times \R & \to & \mathbb{Z}\\ +& (\omega,a) & \mapsto & \chi(g_\omega^{-1}(-\infty,a]) +\end{matrix} +$$ +After discretizing, the example embedded graph has an ECT matrix as shown below. +![Example ECT](figures/example_ect.png) +The main functionality of the package is to be able to compute the ECT matrix for graphs embedded in $\mathbb{R}^d$ for $d \in \{2,3\}$. +Additional functionality is given for embedded CW complexes, such as the example shown below. - +**TODO: If we're going to have 3D stuff implemented, we need the version for that descibed.** TODO..... Liz is going to steal content from the tutorials for this. From c256ef8790f5a0d73518cb86f11445b7d6ca70c8 Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Fri, 17 Jan 2025 11:11:24 -0500 Subject: [PATCH 06/14] Pulled in main branch updates --- .github/workflows/benchmark.yml | 40 ++++ benchmarks/benchmark_cw.py | 53 +++++ benchmarks/benchmark_graph.py | 79 ++++++ benchmarks/run_benchmarks.py | 48 ++++ docs/.buildinfo | 2 +- ...s_Tutorial-ECT_for_embedded_graphs_7_2.png | Bin 12310 -> 16912 bytes docs/_modules/ect/ect_graph.html | 22 +- docs/_modules/ect/embed_cw.html | 22 +- docs/_modules/ect/embed_graph.html | 22 +- docs/_modules/index.html | 22 +- ...Tutorial-ECT_for_embedded_graphs.ipynb.txt | 10 +- docs/_static/css/badge_only.css | 2 +- docs/_static/css/theme.css | 2 +- docs/_static/fonts/Lato/lato-bold.eot | Bin 0 -> 256056 bytes docs/_static/fonts/Lato/lato-bold.ttf | Bin 0 -> 600856 bytes docs/_static/fonts/Lato/lato-bold.woff | Bin 0 -> 309728 bytes docs/_static/fonts/Lato/lato-bold.woff2 | Bin 0 -> 184912 bytes docs/_static/fonts/Lato/lato-bolditalic.eot | Bin 0 -> 266158 bytes docs/_static/fonts/Lato/lato-bolditalic.ttf | Bin 0 -> 622572 bytes docs/_static/fonts/Lato/lato-bolditalic.woff | Bin 0 -> 323344 bytes docs/_static/fonts/Lato/lato-bolditalic.woff2 | Bin 0 -> 193308 bytes docs/_static/fonts/Lato/lato-italic.eot | Bin 0 -> 268604 bytes docs/_static/fonts/Lato/lato-italic.ttf | Bin 0 -> 639388 bytes docs/_static/fonts/Lato/lato-italic.woff | Bin 0 -> 328412 bytes docs/_static/fonts/Lato/lato-italic.woff2 | Bin 0 -> 195704 bytes docs/_static/fonts/Lato/lato-regular.eot | Bin 0 -> 253461 bytes docs/_static/fonts/Lato/lato-regular.ttf | Bin 0 -> 607720 bytes docs/_static/fonts/Lato/lato-regular.woff | Bin 0 -> 309192 bytes docs/_static/fonts/Lato/lato-regular.woff2 | Bin 0 -> 182708 bytes .../fonts/RobotoSlab/roboto-slab-v7-bold.eot | Bin 0 -> 79520 bytes .../fonts/RobotoSlab/roboto-slab-v7-bold.ttf | Bin 0 -> 170616 bytes .../fonts/RobotoSlab/roboto-slab-v7-bold.woff | Bin 0 -> 87624 bytes .../RobotoSlab/roboto-slab-v7-bold.woff2 | Bin 0 -> 67312 bytes .../RobotoSlab/roboto-slab-v7-regular.eot | Bin 0 -> 78331 bytes .../RobotoSlab/roboto-slab-v7-regular.ttf | Bin 0 -> 169064 bytes .../RobotoSlab/roboto-slab-v7-regular.woff | Bin 0 -> 86288 bytes .../RobotoSlab/roboto-slab-v7-regular.woff2 | Bin 0 -> 66444 bytes docs/_static/js/html5shiv-printshiv.min.js | 4 - docs/_static/js/html5shiv.min.js | 4 - docs/_static/js/versions.js | 224 ++++++++++++++++++ docs/_static/pygments.css | 1 - docs/_static/searchtools.js | 7 +- docs/citing.html | 22 +- docs/contributing.html | 22 +- docs/doctrees/citing.doctree | Bin 4075 -> 4072 bytes docs/doctrees/contributing.doctree | Bin 22514 -> 22511 bytes docs/doctrees/ect_on_graphs.doctree | Bin 108821 -> 132973 bytes docs/doctrees/embed_cw.doctree | Bin 101878 -> 185932 bytes docs/doctrees/embed_graph.doctree | Bin 212562 -> 334147 bytes docs/doctrees/environment.pickle | Bin 142610 -> 822491 bytes docs/doctrees/index.doctree | Bin 15379 -> 15376 bytes docs/doctrees/installation.doctree | Bin 5905 -> 5902 bytes docs/doctrees/license.doctree | Bin 4151 -> 4148 bytes docs/doctrees/modules.doctree | Bin 2914 -> 2911 bytes .../Tutorial-ECT_for_embedded_graphs.ipynb | 10 +- ...s_Tutorial-ECT_for_embedded_graphs_7_2.png | Bin 12310 -> 16912 bytes .../notebooks/CodingFiguresFern.doctree | Bin 148000 -> 147997 bytes .../notebooks/Matisse/Matisse_ECT.doctree | Bin 31177 -> 31174 bytes .../Tutorial-ECT_for_CW_Complexes.doctree | Bin 37587 -> 37584 bytes .../Tutorial-ECT_for_embedded_graphs.doctree | Bin 62028 -> 62425 bytes docs/doctrees/tutorials.doctree | Bin 2929 -> 2926 bytes docs/ect_on_graphs.html | 26 +- docs/embed_cw.html | 26 +- docs/embed_graph.html | 26 +- docs/genindex.html | 22 +- docs/index.html | 26 +- docs/installation.html | 22 +- docs/license.html | 22 +- docs/modules.html | 26 +- docs/notebooks/CodingFiguresFern.html | 28 +-- docs/notebooks/Matisse/Matisse_ECT.html | 28 +-- .../Tutorial-ECT_for_CW_Complexes.html | 28 +-- .../Tutorial-ECT_for_embedded_graphs.html | 36 ++- .../Tutorial-ECT_for_embedded_graphs.ipynb | 10 +- docs/py-modindex.html | 22 +- docs/search.html | 22 +- docs/searchindex.js | 2 +- docs/tutorials.html | 26 +- logo/ECT_Logo.svg | 65 ++++- 79 files changed, 759 insertions(+), 322 deletions(-) create mode 100644 .github/workflows/benchmark.yml create mode 100644 benchmarks/benchmark_cw.py create mode 100644 benchmarks/benchmark_graph.py create mode 100644 benchmarks/run_benchmarks.py create mode 100644 docs/_static/fonts/Lato/lato-bold.eot create mode 100644 docs/_static/fonts/Lato/lato-bold.ttf create mode 100644 docs/_static/fonts/Lato/lato-bold.woff create mode 100644 docs/_static/fonts/Lato/lato-bold.woff2 create mode 100644 docs/_static/fonts/Lato/lato-bolditalic.eot create mode 100644 docs/_static/fonts/Lato/lato-bolditalic.ttf create mode 100644 docs/_static/fonts/Lato/lato-bolditalic.woff create mode 100644 docs/_static/fonts/Lato/lato-bolditalic.woff2 create mode 100644 docs/_static/fonts/Lato/lato-italic.eot create mode 100644 docs/_static/fonts/Lato/lato-italic.ttf create mode 100644 docs/_static/fonts/Lato/lato-italic.woff create mode 100644 docs/_static/fonts/Lato/lato-italic.woff2 create mode 100644 docs/_static/fonts/Lato/lato-regular.eot create mode 100644 docs/_static/fonts/Lato/lato-regular.ttf create mode 100644 docs/_static/fonts/Lato/lato-regular.woff create mode 100644 docs/_static/fonts/Lato/lato-regular.woff2 create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-bold.eot create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-bold.ttf create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-bold.woff create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-bold.woff2 create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-regular.eot create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-regular.ttf create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-regular.woff create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-regular.woff2 delete mode 100644 docs/_static/js/html5shiv-printshiv.min.js delete mode 100644 docs/_static/js/html5shiv.min.js create mode 100644 docs/_static/js/versions.js diff --git a/.github/workflows/benchmark.yml b/.github/workflows/benchmark.yml new file mode 100644 index 0000000..35d2bf7 --- /dev/null +++ b/.github/workflows/benchmark.yml @@ -0,0 +1,40 @@ +name: Benchmark +on: + push: + branches: [ "main" ] + paths: + - '**.py' + - 'benchmarks/**' + +jobs: + benchmark: + runs-on: ubuntu-latest + steps: + - uses: actions/checkout@v4 + + - name: Set up Python + uses: actions/setup-python@v4 + with: + python-version: '3.10' + + - name: Install uv + run: | + curl -LsSf https://astral.sh/uv/install.sh | sh + + - name: Create venv and install dependencies + run: | + uv venv + source .venv/bin/activate + uv pip install -e . + uv pip install numpy matplotlib + + - name: Run benchmarks + run: | + source .venv/bin/activate + python benchmarks/run_benchmarks.py + + - name: Store benchmark results + uses: actions/upload-artifact@v3 + with: + name: benchmark-results + path: benchmark_results/ diff --git a/benchmarks/benchmark_cw.py b/benchmarks/benchmark_cw.py new file mode 100644 index 0000000..78a2b53 --- /dev/null +++ b/benchmarks/benchmark_cw.py @@ -0,0 +1,53 @@ +"""Benchmarks for CW complex computations""" +import numpy as np +import time +from ect import ECT, EmbeddedCW, create_example_cw +import json +from pathlib import Path + + +def benchmark_cw_ect(num_runs=5): + """Benchmark ECT computation on CW complexes""" + results = {} + + configs = [ + (8, 10), # Small + (36, 36), # Medium + (360, 360), # Large + ] + + for num_dir, num_thresh in configs: + times = [] + K = create_example_cw() + + print( + f"\nTesting ECT with {num_dir} directions, {num_thresh} thresholds") + for _ in range(num_runs): + start_time = time.time() + + myect = ECT(num_dirs=num_dir, num_thresh=num_thresh) + myect.calculateECT(K) + + execution_time = time.time() - start_time + times.append(execution_time) + + results[f'dirs_{num_dir}_thresh_{num_thresh}'] = { + 'mean_time': float(np.mean(times)), + 'std_time': float(np.std(times)), + 'min_time': float(np.min(times)), + 'max_time': float(np.max(times)) + } + + return results + + +if __name__ == "__main__": + print("Running CW complex benchmarks...") + results = benchmark_cw_ect() + + # Save results + output_dir = Path("benchmark_results") + output_dir.mkdir(exist_ok=True) + + with open(output_dir / "cw_results.json", "w") as f: + json.dump(results, f, indent=2) diff --git a/benchmarks/benchmark_graph.py b/benchmarks/benchmark_graph.py new file mode 100644 index 0000000..cdfad0d --- /dev/null +++ b/benchmarks/benchmark_graph.py @@ -0,0 +1,79 @@ +"""Benchmarks for graph-based ECT computations""" +import numpy as np +import time +from ect import ECT, EmbeddedGraph + + +def create_test_shape(num_points=1000, complexity=1): + """Create test shape with varying complexity""" + t = np.linspace(0, 2*np.pi, num_points) + x = np.cos(t) + y = np.sin(t) + + for i in range(2, complexity + 2): + x += (1/i) * np.cos(i*t) + y += (1/i) * np.sin(i*t) + + return np.column_stack([x, y]) + + +def benchmark_graph_ect(num_runs=5): + """Benchmark ECT computation on graphs""" + results = {} + + configs = [ + (100, 1), + (1000, 1), + (100, 3), + (1000, 3), + (10000, 3), + ] + + for points, complexity in configs: + shape = create_test_shape(points, complexity) + G = EmbeddedGraph() + G.add_cycle(shape) + + times = [] + print( + f"\nTesting shape with {points} points and complexity {complexity}") + + for _ in range(num_runs): + start_time = time.time() + myect = ECT(num_dirs=360, num_thresh=360) + myect.calculateECT(G) + times.append(time.time() - start_time) + + results[f'points_{points}_complexity_{complexity}'] = { + 'mean_time': float(np.mean(times)), + 'std_time': float(np.std(times)), + 'min_time': float(np.min(times)), + 'max_time': float(np.max(times)) + } + + return results + + +def benchmark_g_omega(num_runs=5): + """Benchmark g_omega computation""" + results = {} + + sizes = [100, 500, 1000] + for size in sizes: + shape = create_test_shape(size) + G = EmbeddedGraph() + G.add_cycle(shape) + + times = [] + for _ in range(num_runs): + start_time = time.time() + for theta in np.linspace(0, 2*np.pi, 360): + G.g_omega(theta) + times.append(time.time() - start_time) + + results[f'size_{size}'] = { + 'mean_time': float(np.mean(times)), + 'std_time': float(np.std(times)) + } + + return results diff --git a/benchmarks/run_benchmarks.py b/benchmarks/run_benchmarks.py new file mode 100644 index 0000000..6f30bbb --- /dev/null +++ b/benchmarks/run_benchmarks.py @@ -0,0 +1,48 @@ +"""Main benchmark runner for ECT package""" +import numpy as np +import time +from pathlib import Path +import json +from benchmark_graph import benchmark_graph_ect, benchmark_g_omega +from benchmark_cw import benchmark_cw_ect +import platform + + +def run_all_benchmarks(num_runs=5): + """Run all benchmarks and collect results""" + results = { + 'metadata': { + 'num_runs': num_runs, + 'timestamp': time.strftime('%Y-%m-%d %H:%M:%S'), + 'platform': platform.platform(), + 'python_version': platform.python_version() + }, + 'benchmarks': {} + } + + print("\nRunning graph ECT benchmarks...") + results['benchmarks']['graph_ect'] = benchmark_graph_ect(num_runs=num_runs) + + print("\nRunning CW complex benchmarks...") + results['benchmarks']['cw_ect'] = benchmark_cw_ect(num_runs=num_runs) + + print("\nRunning g_omega benchmarks...") + results['benchmarks']['g_omega'] = benchmark_g_omega(num_runs=num_runs) + + return results + + +def save_results(results, output_dir="benchmarks/results"): + """Save benchmark results to JSON file""" + output_dir = Path(output_dir) + output_dir.mkdir(exist_ok=True) + + with open(output_dir / "benchmark_results.json", "w") as f: + json.dump(results, f, indent=2) + + print(f"\nResults saved to {output_dir}/benchmark_results.json") + + +if __name__ == "__main__": + results = run_all_benchmarks() + save_results(results) diff --git a/docs/.buildinfo b/docs/.buildinfo index c328c0c..7f1a166 100644 --- a/docs/.buildinfo +++ b/docs/.buildinfo @@ -1,4 +1,4 @@ # Sphinx build info version 1 # This file hashes the configuration used when building these files. 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a/docs/_modules/ect/embed_cw.html +++ b/docs/_modules/ect/embed_cw.html @@ -1,25 +1,23 @@ + + ect.embed_cw — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + diff --git a/docs/_modules/ect/embed_graph.html b/docs/_modules/ect/embed_graph.html index f7e5ad2..69d99e2 100644 --- a/docs/_modules/ect/embed_graph.html +++ b/docs/_modules/ect/embed_graph.html @@ -1,25 +1,23 @@ + + ect.embed_graph — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + diff --git a/docs/_modules/index.html b/docs/_modules/index.html index 485c996..1a06c7a 100644 --- a/docs/_modules/index.html +++ b/docs/_modules/index.html @@ -1,25 +1,23 @@ + + Overview: module code — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + diff --git a/docs/_sources/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb.txt b/docs/_sources/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb.txt index bd76f7b..9d2478b 100644 --- a/docs/_sources/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb.txt +++ b/docs/_sources/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb.txt @@ -117,14 +117,14 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{'A': (-2.3333333333333335, -2.5), 'B': (-0.3333333333333335, -0.5), 'C': (1.6666666666666665, 2.5), 'D': (-0.3333333333333335, 1.5), 'E': (0.6666666666666665, -1.5), 'F': (0.6666666666666665, 0.5)}\n" + "{'A': (-0.6246950475544243, -0.7808688094430304), 'B': (0.0, -0.15617376188860607), 'C': (0.6246950475544243, 0.7808688094430304), 'D': (0.0, 0.4685212856658182), 'E': (0.31234752377721214, -0.4685212856658182), 'F': (0.31234752377721214, 0.15617376188860607)}\n" ] }, { @@ -133,13 +133,13 @@ "" ] }, - "execution_count": 54, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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  1. 3.4. Tutorial for exact ECT computation
  2. 4. Contributing
  3. +
  4. 3.4. Tutorial for exact ECT computation
  5. 4. Contributing
      diff --git a/docs/_modules/ect/embed_graph.html b/docs/_modules/ect/embed_graph.html index 69d99e2..93f3d8b 100644 --- a/docs/_modules/ect/embed_graph.html +++ b/docs/_modules/ect/embed_graph.html @@ -80,6 +80,7 @@
    • 3.3.1. Acknowledgements
  6. +
  7. 3.4. Tutorial for exact ECT computation
  8. 4. Contributing
      @@ -511,12 +512,12 @@

      Source code for ect.embed_graph

       [docs]
           def g_omega(self, theta):
               """
      -        Function to compute the function :math:`g_\omega(v)` for all vertices :math:`v` in the graph in the direction of :math:`\\theta \in [0,2\pi]` . This function is defined by :math:`g_\omega(v) = \langle \\texttt{pos}(v), \omega \\rangle` .
      +        Function to compute the function :math:`g_\\omega(v)` for all vertices :math:`v` in the graph in the direction of :math:`\\theta \\in [0,2\\pi]` . This function is defined by :math:`g_\\omega(v) = \\langle \\texttt{pos}(v), \\omega \\rangle` .
       
               Parameters:
       
                   theta (float):
      -                The angle in :math:`[0,2\pi]` for the direction to compute the :math:`g(v)` values.
      +                The angle in :math:`[0,2\\pi]` for the direction to compute the :math:`g(v)` values.
       
               Returns:
       
      @@ -560,15 +561,15 @@ 

      Source code for ect.embed_graph

       [docs]
           def sort_vertices(self, theta, return_g=False):
               """
      -        Function to sort the vertices of the graph according to the function g_omega(v) in the direction of theta \in [0,2*np.pi].
      +        Function to sort the vertices of the graph according to the function `g_omega(v)` in the direction of :math:`\\theta \\in [0,2\\pi]`.
       
               TODO: eventually, do we want this to return a sorted list of g values as well? Since we're already doing the sorting work, it might be helpful.
       
               Parameters:
                   theta (float):
      -                The angle in [0,2*np.pi] for the direction to sort the vertices.
      +                The angle in :math:`[0,2 \\pi]` for the direction to sort the vertices.
                   return_g (bool):
      -                Whether to return the g(v) values along with the sorted vertices.
      +                Whether to return the :math:`g(v)` values along with the sorted vertices.
       
               Returns:
                   list
      @@ -595,13 +596,13 @@ 

      Source code for ect.embed_graph

       
               .. math ::
       
      -            g_\omega(e) = \max \{ g_\omega(v) \mid  v \in e \}
      +            g_\\omega(e) = \max \{ g_\\omega(v) \mid  v \in e \}
       
      -        in the direction of :math:`\\theta \in [0,2\pi]` .
      +        in the direction of :math:`\\theta \in [0,2\\pi]` .
       
               Parameters:
                   theta (float):
      -                The angle in :math:`[0,2\pi]` for the direction to sort the edges.
      +                The angle in :math:`[0,2\\pi]` for the direction to sort the edges.
                   return_g (bool):
                       Whether to return the :math:`g(v)` values along with the sorted edges.
       
      @@ -643,6 +644,55 @@ 

      Source code for ect.embed_graph

               return sum(n >= gv for n in Lg)  # includes possible duplicate counts
      +
      +[docs] + def get_all_angles(self, returntype='matrix'): + """ + Function to get all angles of normals to any line between veritces in the graph. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order. + + Parameters: + returntype (str): + The return type of the angles. Options are 'matrix' or 'dict'. If 'matrix', returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If 'dict', returns a dictionary of angles with `dict['A','B']` returning the angle normal to the vector :math:`\\overrightarrow{AB}`. + + Returns: + list: A list of angles of the vertices in the graph. + + """ + P = np.array(list(self.coordinates.values())) + labels = list(self.coordinates.keys()) + + # Make rows of repeated copies of first column of P + X_Cols = np.tile(P[:, 0], (P.shape[0], 1)).T + X_diff = X_Cols - X_Cols.T # The x value of the vector from A to B + + # Make rows of repeated copies of second column of P + Y_Cols = np.tile(P[:, 1], (P.shape[0], 1)).T + Y_diff = Y_Cols - Y_Cols.T + + # Convert to float to allow NaN assignment + X_diff = X_diff.astype(float) + Y_diff = Y_diff.astype(float) + + # Set diagonals to nan + np.fill_diagonal(X_diff, np.nan) + np.fill_diagonal(Y_diff, np.nan) + + angle_matrix = np.arctan2(X_diff, -Y_diff) + if returntype == 'matrix': + return angle_matrix, labels + elif returntype == 'dict': + angle_dict = {} + for i in range(len(labels)): + for j in range(i+1, len(labels)): + if angle_matrix[i, j] not in angle_dict.keys(): + angle_dict[angle_matrix[i, j]] = [ + (labels[i], labels[j])] + else: + angle_dict[angle_matrix[i, j]].append( + (labels[i], labels[j])) + return angle_dict
      + +
      [docs] def plot(self, @@ -651,16 +701,21 @@

      Source code for ect.embed_graph

                    color_nodes_theta=None,
                    ax=None,
                    with_labels=True,
      +             angle_labels_circle=False,
                    **kwargs):
               """
               Function to plot the graph with the embedded coordinates.
       
               If ``bounding_circle`` is True, a bounding circle is drawn around the graph. This is centered at the center type defined by ``bounding_center_type``.
       
      -        If ``color_nodes_theta`` is not None, it should be given as a theta in :math:`[0,2\pi]`. Then the nodes are colored according to the :math:`g(v)` values in the direction of theta.
      +        If ``color_nodes_theta`` is not None, it should be given as a theta in :math:`[0,2\\pi]`. Then the nodes are colored according to the :math:`g(v)` values in the direction of theta.
       
               If with_labels is True, the nodes are labeled with their names.
       
      +        If ``ax`` is not None, the plot is drawn on the given axis.
      +
      +        If `angle_labels_circle` is True, the angles of the normals to the lines between vertices are plotted on a slightly larger circle circle around the graph.
      +
               """
               if ax is None:
                   fig, ax = plt.subplots()
      @@ -699,6 +754,41 @@ 

      Source code for ect.embed_graph

                   ax.set_ylim(circle_center[1] - r, circle_center[1] + r)
               ax.set_aspect('equal', 'box')
       
      +        if angle_labels_circle:
      +            circle_center = self.get_center(type='min_max')
      +            r = 1.3 * self.get_bounding_radius(type='min_max')
      +            circle = plt.Circle(circle_center, r, fill=False,
      +                                linestyle='--', color='black')
      +            ax.add_patch(circle)
      +
      +            # Get all the angles with the labels to be drawn
      +            angles_dict = self.get_all_angles(returntype='dict')
      +            angles_dict_labels = {key: ', '.join(
      +                [f"{a[0]}{a[1]}" for a in value]) for key, value in angles_dict.items()}
      +
      +            # Draw hash marks on the circle
      +            hash_length = 0.1*r  # Length of the hash marks
      +            for theta in angles_dict_labels.keys():
      +                for angle in [theta, -theta]:
      +                    x_start = (r-hash_length) * np.cos(angle)
      +                    y_start = (r-hash_length) * np.sin(angle)
      +                    x_end = (r + hash_length) * np.cos(angle)
      +                    y_end = (r + hash_length) * np.sin(angle)
      +                    ax.plot([x_start, x_end], [y_start, y_end], color='black')
      +
      +                    # Add labels near the hash marks
      +                    scaling = 3
      +                    label_x = (r + scaling * hash_length) * np.cos(angle)
      +                    label_y = (r + scaling * hash_length) * np.sin(angle)
      +                    ax.text(label_x, label_y,
      +                            angles_dict_labels[theta], ha='center', va='center')
      +            # Always adjust the plot limits to show the full graph
      +            scale_factor = 1.5
      +            ax.set_xlim(circle_center[0] - scale_factor*r,
      +                        circle_center[0] + scale_factor*r)
      +            ax.set_ylim(circle_center[1] - scale_factor*r,
      +                        circle_center[1] + scale_factor*r)
      +
               return ax
      diff --git a/docs/_modules/index.html b/docs/_modules/index.html index 1a06c7a..b82492b 100644 --- a/docs/_modules/index.html +++ b/docs/_modules/index.html @@ -80,6 +80,7 @@
    • 3.3.1. Acknowledgements
  9. +
  10. 3.4. Tutorial for exact ECT computation
  11. 4. Contributing
      diff --git a/docs/_sources/notebooks/Matisse/Matisse_ECT.ipynb.txt b/docs/_sources/notebooks/Matisse/Matisse_ECT.ipynb.txt index 7db4d29..5b66a5e 100644 --- a/docs/_sources/notebooks/Matisse/Matisse_ECT.ipynb.txt +++ b/docs/_sources/notebooks/Matisse/Matisse_ECT.ipynb.txt @@ -95,7 +95,7 @@ }, { "data": { - "image/png": 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", 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", 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eGDVqlM7j3bt3x2OPPYYOHTqgd+/e+OabbxATE4PVq1fznmfhwoUoKyvT/OTn55v8WuyS69eBfv2Ao0eBX38ljZIpFDslPa8EW08UID2vxNpTsQ3Wrwf8/Yl1yEBQJMU0FC1w7uPjAxcXF86u8fr165zdpT4sy+KTTz7BhAkT4ObmZnCss7MzunTpIriTdHd3h7u7u7TJOwo3bwI9e5L8xwMHaP1Vil2zbOd5rDuQo/l9Rp8ILBgSa8UZ2QD+/sC+fcQEO2AAsGkTqdZDkQVFd5Jubm6Ij4/H7t27dR7fvXs3evToYfDY/fv348KFC5g6darR67Asi5MnTyIwMNCs+TokzZuT0nIHD1KBpNg1f5zL1xFIAFh3IAebj/FHytcrmjUj9V5TUmhqiMwo3iorLS0NEyZMQOfOnZGQkIAPP/wQeXl5mDFjBgBiCr1y5Qo+//xznePWr1+Pbt26oW3btpxzLl68GN27d0d0dDTKy8vx7rvv4uTJk3j//feVfjn2w6FDQHExMGIE8Oqr1p4NhSKKuro65OXlISMjAxkZGcjMzNT8v6JFLHxGzOMcM3/rGeQW36E7Snd3UnsZIEK5dy+QlGTdOTkAiotkamoqbt68iSVLlqCwsBBt27bFjh07NNGqhYWFnJzJsrIybNmyBatWreI9Z2lpKaZPn46ioiJ4enoiLi4OBw4cQNeuXZV+OfbBn38+yIEcPpxW0KHYHHfv3kVWVpZGANU/WVlZuHfvHgDiJlGpVGAYBn369EGFXztsLeA/37oDORjUJgBxId4WfBU2zK5d5B6wdCkJ1qOYDK3d6mi1Ww8cAIYOJcE5P/1EEpApFBNIzytBbvEdhPt4mCQ+LMvi2rVrHCHMyMjAZa2UBT8/PzAMw/kJCQmBi1aK0tYTBUj79pTg9VaM6YCUTq0kz9NhWbyYWJGWLCG5lQ6Gpe7jiu8kKRZEvYNMSAC2bwcaN7b2jCh2yhs/n8WHf17S/G4oQKa6uhoXL17kmEczMjJQVlYGAHBxcUFUVBRUKhVSU1M1QqhSqdBcZMHucB/DCz5jz9c7Fi0ipSZfeYXUZV60yNozskuoSDoSwcHAuHHAe+/RZskUUZSXl3OE7WzRHVT2eVZn3LoDOegR4gHX8iucXeHFixdRW1sLgJSLjI2NBcMwGDVqlEYMIyIijEapi6Gfyhd7M29wHk+JC6KmVj5efpkUDDl6lNRopsVDJEPNrY5gbj1+HAgPpy10KLywLIuCggJes+fVq1c141q1agWGYeDUbhiy3KM55yn94yuU/UX6GoaGhvKaSP39/UXlQEtFP/UjSeWL0vJynCh8UJaNpoMYQC2QRUWAg5TwtNR9nIqkvYvksWPAQw+RDuZr1lh7NhQrcu/ePWRnZ3PMnpmZmbjzbyFsNzc3xMTEcMQtJiYGTZs2BQC8szsTq/Zc4Jz/Ib9KPNsvEjExMWhsQVN+el4JkteKK2O5bWYPuqMUIj8faNuW+CnnzrX2bMyG+iQpxsnMJEE6bdoAy5dbezYUGTAWLMOyLG7cuMG7K7x06RLUa15fX18wDINOnTph/PjxGjEMCwvTCYbhI1HlxyuSz4xOQkcrCFBusfhOF7nFd6hICtGqFTBzJmls4OMDTJhg7RnZBVQk7ZWrV0lvOV9f0snj310AxX7RNymObeuFXk1vcsSwpISUY3N2dkZkZCQYhsEjjzyiEwzTokULk+cRF+KNGX0idOYys2+E7OIjdkFwNiND9Dlp8I4BnJxISkhxMTBlChHKIUOsPSubh4qkvbJvH0kY3rWL+iIdgPS8Ek41mW/+KcWqz56H++1CjQAOHz5c8//IyEjFyi0uGBKLQW0CzEoBMYSUBYFHm368RQT0g3iUEHKHw8kJWLcOuHEDmD4duHCBFCGgCEJ9kvbmk6yrI2HdAGm4SvMgHQKhHMCXB4RiSr82igTDWAshH2PhZ2k6CwL1D1qEIe2XQs74bTNJaUulhNyhuXeP+ChjYqw9E5OhPkkKl9paYMwYUkln/nwqkHZMRUWFJrgmMzMTf1y5D/j34oxr0rSZXQqkIVOqkI9x9Csf4asne/O+3qy75wXNv1QcTaBRIyKQd+8Cc+aQHMqWLa09K5uEiqS9wLKkb9z27cDjj1t7NhQ9+ESBZVlcucLNK8zIyMCVK1c0xwYFBaFlz2SApzGOq4tFutnJir4pdUpCMIa1rNG89r9zi4Hg4ZzjDl6uwMn8Ul7RU9r8W28pLQV++YXUej5wAPCm76s+VCTthddfBz78EPjkE1K0nGIz6ItCy/JzqDqyGZmZmbh9+zYAwNXVFdHR0WAYBpMmTdIJsmnWrJmgCdLeAlH4fKufHMrH65+lobowC0FBQVCpVPAN6IIbrtxVgaHo1LgQbyqOchMUROIaevUi7bV27wZkKPrgSFCRtAd++YVUzli8mO4ibQw+UbjSrDU6xyfqlF8LDw9HgwbCXzdLRZTKhZA5VciU+vrqjzB9QEeN78hRFgUOQWws8OOPpDH700+TxbgdmviVgoqkPdCrF7BiBfEdUCyKId9adXU1vvvrHO9xPR+ZhrkDVJKuZS8mRf2d84R4fzzkcxsZGRnYlV0OuLXhHBMcEqYTXGFviwKHp0cP4IMPAK3C8xQCFUlb5sYNoKSEONgdoEKGvaEvBj297yL41nGdmqUe3cbAq/ejsl3T1k2KfDvnL45fw5ufpaH2+kWEJY4FunBFks+3ai+LgnrD5MkP/l9WBnh6Wm0qtgQVSVuluhp45BFSa/HcOVqY2MLwicFfJY2B3YfB+DbE4MGDwTAMXAOi8d8jlZzjE1V+lpqqIkg1p7790ZeYPqADzhbdkWRGtfVFQb3ku+9IkOChQ0BkpLVnY3WoSNoqs2eTD+mePVQgFcBYtZd9mdd5j5u97AOOGfWGu3B6gj2iv4NObeetSfTfc+ke0Cyec4yvnz/c3NwQF+JGzaj2zkMPkV3kyJHkHmRvueQyQ0XSFlm7llTF+Ogj4o+kyIq+CIyP80U/7zKdFI0st2i4dBQXRWwPZkOxDZT5dtCbz5Rg5WfPwbX8CsL6jQXackVS25xqD+8HxQDe3iTVrFs30jjh++8fFDCph1CRtDVKSoAXXwSefRZ44glrz8bh4BOBr9Nv4O3P0uB06zJiYmKgUqkwTBWOX2q5xwuZUW3ZbKi/KDDUUkrInPr+F99ialI7nMwvFWVOteX3gyKC2Fhg40aSbvb228Dzz1t7RlaDiqSt4e0NnDhBq1/IhP4OSkgERr30Ab5+srdOhwx9cbEXs2FlZaWmZdaBs3n4sYrReX7dgRwMahOAuBBv3LlzB1lZWZod9IGCGsCvJ+ecTZt5wcnJiUal1ieGDQO+/RZISrL2TKwKFUlbgWWBVavI7jEszNqzcQj0Ra696zU4XTkF+A3kjD2Sfwenr5Tr3Oxt2WzI1zJLXeYuNzdX0zIrcOBUuHViOMdPffkd3Nz3GfLy8jSPBQQEoGWvFIBns0zNqfWU0aPJv/n5pMiAP09ZKAeHiqSt8M47wLx5pDfkgAHWno1dwedv4zOrnq7xh0/BFbTwLMRN90DOefiqvShlNhTrI7x//z5ycnJ4S9vxtcwaPXq0TjWfz08U8/aGdHNzxaOPPqoz1tPTU3SSPzWn1iPq6khLrcBAUp2nnvknqUjaAkePkoLlzz1HBVIiQv62PeeLeMc/+tzrSFT5WbXaC9+cZ/YI0uwEtX8uXLiAmpoaAEDTpk0lt8xKVDnziuTal5/hFTlqTqVwcHYmVq4BA4Bly4AXXrD2jCwKbZVl7fDm0lKgUyfSPPmPP2jdRAkI7Xrc97+LGw180azn/3Gem50UhbkDVLz+xvmD+YNZ5MRQm6jqwiwAQEhIiGZ3p90yKjAw0KSOIKa8VrE7XUo94uWXSdPmfftsIuqetsqqL/z0E4lo/f13KpBGEBuE49lzHMa2rMMX17jPqaNTlfKrGRMXoTnPeul1jE+IRExMDDxkboFmymul5lQKh0WLgP37gSlTgPPn603+NhVJa/PYY8CgQWQnSRGE036peytENbrLO/Z6Az+kpPSAx9kig2ZDuYVAyPSrbpmVmZmJXX/nA+D+rTt36Yq4uBDZ5qIPFT2K2TRoAHz9NVnU1xOBBKhIWo+LF4GdO0n5JyqQgqTnlWBf5nVu+6XDBSj8LA2ePVLROLob57jc4jsWjcLkCxRadyAHG99agJxjezQts5q17w/voXM4x9tj30hKPaRVK/JTWQmcPg107WrtGSkOFUlrUFdHTBb5+aT1lczmNUdBf2emzxurP0b3NhF49LOTnOfUQTiWik4VMqO2iu2ECUN7a/yKpS5eeOTDI4LzpVDsgv/+F1i9GvjnHyBEOQuILUBF0hq8/z7pAr53LxVIAfh2Zvq0CglFT6YlZvQpt2g0pr54T+sZCo86fpGcOPlxpHbRvYnQ6FGK3fP888BnnwHTpxOLmAP3n6QiaWkuXgQWLACeeQZITLT2bGwGsTszbdQmSmubVT/66zJK//iKt2UWbRFFcUi8vEht6aFDgfXrHbqEJhVJS7NmDalasXSptWdiM+jvzIZFuAHl1wAYFg9tE6USZlW+SFUh8Z48eTK+v1hjcI7a0EAait0zZAhxF6WlAcnJQIsW1p6RIlCRtDRvvQXMmQM0aWLtmVgdoaCcn3OqUfbnTnj2Gi94rKVNqg9HN0Jn1yv46dxNANGc8QkdGAS0vEPNqJT6xYoVwKhRDiuQAC0mYLliAhcvkkAdamIFYDwo55m+4Xhvfy7n8dlJUUhU+SkajFNTW4f5W89wni/8LA3+Ue3g3PNxznMrxnRASqdWNAmfUj9hWeDSJSA83GKXpMUEHAmWJTb7/HyShOvqau0ZWRUxQTnBLZrwBrjoNzyWC2OiDQCfbtmB2JbNDZa0o2ZUilgcakH1/vukxV9GBqnx6kBQkbQEGzeSUk67dtVbgdS+IYgNyrFUgIsY0QYAlwautLYpRRbE9vg0JqQ2I7SPPgosWUKiXr/80nrzUAAqkkpTXk4Kl48eDQzktmiqD+jfEHyqrwFuhlvuWDLPUYxoA9aJpqU4HicECk+oe3yqMSakfM9b7XPp7Q0sX07yv6dNA/r2tdy1FcYiPsk1a9bgrbfeQmFhIdq0aYOVK1eid+/evGP37duHfv36cR4/f/48GOZBX7wtW7bg5ZdfxsWLFxEZGYnXX38dycnJouZjUZ/kyy8T5/b58w6fdKuPOjCHrwuFIZQuNq5/cwl3v4fcqkZGj9s2swcVxHqCHDs0dZsz/e4uF2qbo1G/GZzx83r6oGX1FWRkZOBYzg2k+/bnjNk2swdi/Rrhp0P/4LlfeYoTayG0O1WMujqgZ0/g9m3SOF5hq5nD+CQ3b96MOXPmYM2aNejZsyc++OADDBkyBOfOnUOIAdHIzMzUeeG+WqXbDh06hNTUVPz3v/9FcnIytm3bhrFjx+LPP/9Et27cEmVW5fnnSbBOPRNIMT4+feQOyhHbZ1KMQFKTav1BrClUTVlZmdE2Z02aNNFUXYqI7IE/qrjnWfjCS7hz5jd4enqi1eDpfCV+kfL0S7j881o0bp0InxHzDL4Ovt2pojg7E9/kzp0kDsNBUHwn2a1bN3Tq1Alr167VPBYbG4tRo0ZhKU+uoHonWVJSAi8vL95zpqamory8HDt37tQ8NnjwYHh7e2Pjxo1G52SRFQjLAjduAH48bd4dnM3H8nijQ7WJD/HC8bxSze9y7x6FbnTv7M4UvbNdntIOri7O1KTqoLAsi8LCQh1hS88rQX7sOM7YrTMS4ON0m7f5dWFhoWZccHCwTnszdcuzoKAgTZuzrScKkPbtKc41prdzx9SH2sHPzw8rf8vi/Zy2rs3FaFUjNPCPwqK/bht9jerWcFaBZRWtxOMQO8nq6mocP34cCxYs0Hl84MCBOHiQGyGoTVxcHCorK9G6dWu89NJLOibYQ4cOYe7cuTrjBw0ahJUrV/Keq6qqClVVD5Zu5eXlEl+JCWzeTCJaz52rV7tIsTvIl4a1BgBF/CdCxca3vrsIBbXN4BbPNcvzibZ+OTmK5ZAzIKWqqgoXL17kFbiKigoAgKurK6Kionh7kALAoMlzUbzvcwCAu7s7YmJiwDAMnnjiCY0YxsTEoImI/GehAhNDesXD35+81kSVH69Ivv7Mo5r3Y1/xUezNvGHwWqv2XEDV/TrLml0B4p/MzgY+/tiy11UARUWyuLgYtbW18PfXDdLw9/dHURF/5/jAwEB8+OGHiI+PR1VVFb744gs89NBD2LdvH/r06QMAKCoqknTOpUuXYvHixTK8IpFUVADz5pFAnXoikEKFAfjQNl0qUSXn2+P5vM/VqPrjEe/b2F7JfU5J0aZIQ6q5U83Nmzd1BFBtAs3JyUFtbS0AwNvbG7GxsWjXrh3GjBmjEbjw8HA0aNBA0NLQLykJk59PBcMwCA0NhYsZraLEREiLGTMrKdqoSAJWMLsCpLjAggXA5Mk20aDZHCwS3arfTZ1lWcEO6yqVCirVA/NAQkIC8vPz8b///U8jklLPuXDhQqSlpWl+Ly8vR3BwsOTXIZrly4Fbt4B33lHuGjaE2N2jkoUAxMyjpFFLPP54DwQZ6DNJxdE4cqcd1NXVIS8vDxkZGdh7Jhebb+kuLLVv8rW1tbh06RLvrrC4uBgAuTeEh4eDYRiMGDFCx/Tp4+MjeJ8AhHdwCyeNlPWzISZC2tgYPiEVIrf4jmU/21OmkNqus2cDx44Rf6WdoqhI+vj4wMXFhbPDu379OmcnaIju3bvjS63cm4CAAEnndHd3h7u7u4SZm0FhIRHHOXOA0FDLXNNKSNk9JjG+ivhGtKvkiL1Z0BQO0zF1lwcAd+/eRVZWFkfcsrKycO/ePQCAZ8eB8Bo8i3Ns2qvLUHxsB7KzszWuk8aNG2vEb+DAgZr/R0dHo2HDhia9PkvmwYpJbzI2Rv1Z/vZ4Pr4+ym9BAazQis3ZGXj7baB3b+Dbb4HUVMteX0YUFUk3NzfEx8dj9+7dOukZu3fvxsMPPyz6POnp6QjUquKQkJCA3bt36/glf/31V/To0UOeiZvDvXvAsGHA/PnWnomiSI1efbYft96ppecA0Mo4psCyLIqLi/HT4X+w7uBdnef0TXksy+LatWu8O73Lly9rjvPz8wPDMOjWrRsmTZqkEbjD152w8PuznDncvnMPffr0wfTp0zVjW7ZsCWcFdij2tohSz09IJFPigqzzGnr1AkaMAA4fpiJpiLS0NEyYMAGdO3dGQkICPvzwQ+Tl5WHGDJIntHDhQly5cgWff06c4itXrkRYWBjatGmD6upqfPnll9iyZQu2bNmiOefs2bPRp08fLF++HA8//DB++OEH/Pbbb/jzzz+VfjnGiYgAvvnG2rNQFLEVatTIvRKXsoNVch6Oxv3795Gbm8srcLdu3YJHm368aQerN2xGXc5hzdiysjIAgIuLC6KiosAwDMaNG6cT7entzf93SC8p4H184fz/IKVTK/lerBHsbRFlyPS6Nf0q/Jo2tHzwDgB89x3g5mb568qI4iKZmpqKmzdvYsmSJSgsLETbtm2xY8cOhP5riiwsLEReXp5mfHV1NZ577jlcuXIFjRo1Qps2bfDzzz9j6NChmjE9evTApk2b8NJLL+Hll19GZGQkNm/ebP0cyZdeIpUmBgyw7jwU5t092aLGKeGDtIX8S3unvLycN68vOztbk9fn4eGhEbUhQ4aAYRjkNWiJd4/c4pzvx593ItLpGhiGwahRox7kA0ZEwE3iDVLILGhxc6EdsmBILK6VV2Lbyauc56wSvAMQgayrA7ZuJa217LDJPO0CIld+zYkTQHw8cVY7cANSMTmQgLx5j8a6c2gTF+yJ9PwyReZhT9TV1aGgoEAnylP9c/Xqg5toy5YtOXl9alOmfoCLUH7f22M6YLSMuzz9hVB9/RtKJT2vhLf4vhp1pxqLk58PREYCr74KvPCCbKd1iDzJesULLwAqFQl5dlDE7OLGdw3GmPhg2VasUneOE7qH4ZXhHnbjTzKEmCjSe/fuITs7m7MrzMzMxN27xH/o5uamyeubMmWKTl5f06ZNRc9HaDcXIfMuz958graCsRrEVtuNBwcDM2eSqP8nn7S73pNUJOVg717S4eO774AGjveWSvEByimQUn2fADQ3VXu/seovDiZ2DkB/3zscMbx06RLUxiAfHx8wDIP4+Hg8+uijGjEMCwszK69Pja1FflJ0+SNbOGfS6v74F18EPvkEWLaMNJ63Ixzvjm4NVq0CunQBUlKsPRPZkbKTk/OLaKgogCWub034Fgef/12E5Z+l4f61C4iIiADDMBg9erROMIyPj4/ic6O7PNskPa+E1xepZmDrAAvOhgc/P9INadkyUmglwMrzkQAVSTnYtAkoKlK0TqE1kLKTW57STrYyblJNrI4WmCNkNvvfh59j+oCOlsv5FYDu8mwPY6ZWixcT4GP2bMDfHxCoyW2rUJE0l5s3iY09LMzaM5EdsVGsKXFBsgikKakdM/tGWK+As0zU1tbi8uXLGhPqb7l3gSZxnHF+/oFWF0iK7ZGeV4LLN23UH6mNlxcwg9sizNahImkOJ08C3boBBw6Qfx0EtViJqQuZEheEFWO5N3SpOMLu0Vigze3btwVTL7SryIT3SwXacd9TddNnCkWNmO+N1YoJCPHss6Qa2XPPWXsmoqAiaQ7LlgEtW5LUDwdBrFjJEcUqtaScGlvcPeq/b4NDXdCuVrfzREHBg0T5oKAgMAzDW0XmVEEZbyi/TewGKDaDWHdIryiexpTWpKYGePNN4KmngMaNrT0bo1CRNJULF0hNwvfec5iIVik+SHMF0pGKAvC9b79crsUXX61BWFOAYRhMnDhRJ8jGUF6XJaNIKfaDvqXCmB9Sjc0trp5/nuSTf/IJ8Mwz1p6NURzj7m4N3nwT8PUFHn/c2jORDbE+SHNu2OaUlLPG7lFMruK+zOu8jy/5eAvmDWRMui6NIqVoo7+ojHO/AeerZ4AWSQaPs8nFVWQkqeX61lskb9LV1dozMggVSVNgWaCyktjUTew2YGtsPpYnygdpThSrve0e+TpezOsfxWnge6zSDwjvyzne2cxoZxpFSgH4LRXpVb7wzsmBd2MVShq15Bwjd1EP2VmwAOjUCfjrLyAx0dqzMQgVSVNwcgI+/5yIpQMgVrxm9o0wWSDFmHL5SspZy/fIN991B3KwZPpo3Cs4DwDw9PQk5tN2zXGC5xyJKj8LzJTi6OzJuMb7+MT5y5Co8uP1X9u0QAJA+/ZAXh4QFGTtmRiFiqRUKiuBH34AkpPttrq9tgkRgFHxMnc3J7YwgLVKyvGZVIX8PVNmL8AjnUPAMAz8/f019U356o3a9E2KYnMIRT9fbRGHpgn8rabs2n8dFATcvw+Uldl0qToqklL59ltg4kQgMxOIibH2bCSjfzPvpzIc+WZus2QpJlZrlJTTn9/j3VthaFA1DhzKAdCEM75330Qk8uymqQ+RIgaWZXHlyhVeMRSKfvaM6ICvi7nnUlsq7PqzN2gQie3YtMnaMxGEiqRU1qwhrbDsUCD5TIjG/JDmNEuWEi1rjdUv3/w+PVyANz5Lg2vzlry9Ew3lKlIfIkVNVVWVYOH527dvAwBcXV01hecnTZoElUolGP3czIilwm4/eyNGAP/5D6lYZqOl6qhISuHECdJle9s2a89EFKaGjKsxV7jEXM+SgTli349h89/DvEGt8ehnJznP2Vw4PcWqFBcX8zapzs3NRV1dHQCgefPmiI2NRceOHXWaT4eFhaGByPQxu94tGmLSJNJBaf16UgTdBqEiKYW1a4FWrYDhw609E6PomxGn9QwF07Ra9PFy1GI1JiiWDMzRfz+6Ni2D+/XzQKPunLEniqrRuHFj+/X1UGTl/v37uHTpEq8Y3rx5EwDg7OyM8PBwTuNphmFkKzxvt7tFQ3h7A48+CnzwATB/vk3mnNvejGyZvn2Bnj1t8g+pDZ8Z8aO/LqPwszR49khF42jDJfTMiWLVhi+oQE1yxyCLNNIVyss8WuEJ92NH0TQuCBVNua81t/iO467eHQwxuaxiKC8v5/UVXrhwAdXVZIHZpEkTjfgNGTJEYx6NiopCQwdJB7M4M2cCf/4JFBTYZA1s277b2xqPPWbtGfAi1oz46oo16N46Ao9vPMd5bnlKO7i6OFtMDLadvIqJCWGKXstY0NCMV98VDKFX74IdcvXuQPDlsi4YIrz4YlkWBQUFvLvCq1cftJpq1aoVGIZBUlISnnrqKY0wBgUFaSKaKTLRqRNw7pzNdlGiIikGliXJr1OmACrbrhnas/ld1NwqAMANLIqIjEa/9iGYcaWSY0aUq82VNsYCd5Rq3yOlqo9dh9DXM6qrq3HhwgXNbu/oxetI9+2vM2bdgRwMahOAWL9GgoEzd+6QRaS7uztiYmKgUqkwZcoUjRDGxMSgadOm1niJ9RcnJ+DMGaB5c1IP24agIimGI0dIGbqBA21GJIWE4K9bjcGezoJTe65IqiMzLWVGNBa4o0QQjJSUE4cIoXdAbt26xbvTy8nJQW1tLQDAy8sLLQdNB3gymJKffgl5P68F+2+xD19fXzAMg/j4eDz66KMaMQwNDYWLi4slXxpFiOpqoHdvYNYsYMkSa89GByqSYvjyS7K6sZHyScaEYNzjM7D5eAHncW1RsoQZ0ZAIyrVbk1oYQej61KxqWfR7aGr/3LhB0pKcnJwQFhYGhmEwfPhwnWAYX19frPwtC6v2XOCcu3Xr1ngl+WONv7CFDSeqU/7FzQ145BHgq6+AxYttyvRKRdIYNTXA5s3A5MmAlVedYs2IAZ4NbcKEyGfKvJt9BB/MSkZyH/ODdqQWRgDsoKalg6FdRUY7KCYrK0unh6Za0Pr3768RwujoaDRq1Ejw3IkqP16RfP3p8fTva4889hhJBTl8GEhIsPZsNFCRNMavvwLFxVYP2pFqRowL8bYJE6K2KdPTuQpDh6bh2KB4VDdqYVagkCmFEQA7qGlph7Asi6tXr/LuCvmqyPTu3RvTpk3T6aHp7Cy9oTT1JxtGStSvXBHCZtGnD0mx+/JLKpJ2Rbt2wMqVpCCvldh8LM8kM6KtmBDV81i68zwCJ63A1znA1zlnNM8bi0jUR2wtWH3oDdQ8qqqqcOHCBV4x1K4iEx0dLbmHpqlQfzI/+ovq5I5BeCc1TtRY9ffR4sLp7Ez6S969q/y1JODEsg7SykIC5eXl8PT0RFlZmSJfXDkRu4O0dTNiel4Jb6qFmm0ze4iau72127JHpFSRUQugWgzDw8NFV5GhyMfNmzc1f6e/Mq5gT4N4zpjkjkFYMbYjrl+/rhl7MPMq9rt35R277eSDlJh+Kl/MSoq2qe+Qpe7j9NNsiO3bgZMngZdftoojWUrtU1sWSMB4pKuxdBCx/tgklS/2aJldrdluy5axlSoyFPHU1tYK/s2Ki0kFdCcnJ4T2HQN054rktpNX8cUr03Az6zgAwMXFBSHDZgKtudfSFkiAuDL2Zt6wjFhevw78/TcwdKhy15AAFUlDvPceCU1+5RWrXP7dPdmixtmDGdFYuoeh56XsHp9NisazSdH1zvwmZBqrqKjgrSKTnZ2tqSLj4eGhEb/Bgwdr/k+ryFgHvr9ZZmYmsrKyNH8zdbATwzAYOHCgZjcfHR2NjBuVglabEeOnYmT7F8EwDCIjI/H+/lze4Cch1GIp1UUiiQ0bgEWLgGvXABuw9FFzq9Af4cYNUpV+7Vpg+nSLzk+9azL24bU3M+LczemcFSpARF6oRJ0xM63Y8zgy+ouIiKqLcDr1g2AVGW0/oTpwhlaRsSzqlll8u8IrV65oxqmDnfR/jAU7CX3X9N0aUr5fxs4lG/n5QEgI8MUXBgMmqbnV2uzYQSrtPPywRS8rdtdkb2bEZTvP835pAfI2C/Haz9wSevrY22JBTvhM8jnukYgNjMGUHj1oFRkrU1lZKRjspK78ox3sNGnSJFmCndRBOtrfOT6LE1+EcEpcELam839XtVGqYhaCg4EuXYAff7R6VgFARVKY7duBbt0Af3+LXVJsFKscHTosiTHfqrqUmP4Kd1/mdRzPKzV4bntbLMgJy7L46Tj/+zpw0px6+75YGpZleYOdMjMzBVtmpaamKh7s9E5qHCYmhBl1PfBFCPs1bWj0XqRo27gRI4C33iLuLjc35a4jAiqSQsyeDfyb7GwJxO4gkxhfmxdIU/pYaq9KxbwX9Wn3qK5ZyrcbcW4/HF69H7X2FOsF9+/fR25uLu/f4datWwBsL9hJbBqY/rgFQ2IR7uOB+VvP8I5XPA5i1ChSy/XWLas3Y6YiKUSfPha7lJQo1mf7RSs8G/PQF7hBwU6oK7sGwM/gceE+HqIjWDuHetntLslQ7pnYmqWxsbFo27YtHnnkETRsyWDFP9zrqOvSUqQj1DIrOzsbNTU1AHSDndQtsxwt2Cm1Swhyi+/ofB9r805i+9KnlF+ctmsHfPONstcQCRVJPt5/nzQDHT/eIpcTs9MCbDOK1Vjt1F35LCoO7UXThFTBc8zsG4FdZ4tELxReHMoTs24H6C8gVO5lCL26T3LNUv0gm7t657XFz4kcyJncXldXJ9gyq7CwUDNOHezUr18/zJw5Uydwpj4EO2mbYrPTD2LBspcQ/v7Tlrn47dvA3r2kyb0V32sqkvqwLLB0KTBmjMVE0pht31ZNi/o3/SSB2qkvvPACVu+9yHlc/bqyrlUImnX0sVcB4LMWZFZ5IqcyBF1a3ZZUs1Sf+lB1RmrfSDX37t0TbJl199/KLm5uboiJiQHDMJg6dSoNdtJDbYpNd4rGAgCZmZno1s1w43ZZOHQIGDmS5Kp36KD89QSgIqlPejpw5QpxHFuIXWeLBJ9LiQuyOdOikFl0j0Dt1FbejXlrbM4doHKIikJidjg5N27zPl7TMg7Pz3za7NdlrRKESpYuU5uffzt5AZ/k63by0A72YlkWN27c4N0VXrp0SdMyy8fHh7dlVlhYGG2ZJYKYGNJ+LyMjwzIi2bcv0LQpiXKlImlDbN8OeHqS3mYWwJg/sleU8c4WlsSUsnCuLs68ux1HqCik/35M7RGMkSEs52Z9sbQWzcct5T2HYqH0CmPq7k4b7Soy+n5AtfnZo20SfIancY59YdkqlJ38FRkZGSgpKQFAAmciIyPBMAxGjx6tk05BqwSZh4eHB0JCQpCRkWGZC7q5AYMHAz/8ALz0kmWuyYNFRHLNmjV46623UFhYiDZt2mDlypXoLSBCW7duxdq1a3Hy5ElUVVWhTZs2ePXVVzFo0CDNmA0bNuDxxx/nHHvv3j3znea7d5Pmyq6u5p1HBOl5JZj7zUmDYxQNs5aIFFHTRv0a9Hc79l5RiO/9WH8wH689mYbqwiz4+fmBYRh07doVExkGh1jgKM9m25b+xmLhe+18qTxqtFtm6QfD6LfMYhgGAwYM0Pz/ZHljvPwT98ZccOUq4qKidPy2kZGRcHd3V+ZFU8AwjOVEEiCl6aZMIVGuzZtb7rpaKC6Smzdvxpw5c7BmzRr07NkTH3zwAYYMGYJz584hJISbynDgwAEMGDAAb7zxBry8vPDpp59ixIgROHLkCOLiHlSxb9asGTIzM3WOlSWqbNYsi+RGitmR2YI4aJvTxAQY9VP56rSs4nsNanOtsdZWtuKLFTIpCr0f/135AZ7o3x7N9b7Uc8GthGJrf2P9ubAsq1MQW/1zvrIp0H0S51wnsgtwK/uEqJZZffr0wfTp041Wkck+wW0gDgCLF72ClE6tzHz1FCkwDINff/3Vchfs14/83LhhNZFUvCxdt27d0KlTJ6xdu1bzWGxsLEaNGoWlS/nNT/q0adMGqampeOXfGqobNmzAnDlzUFpaKur4qqoqzWoVICHewcHBVusCIqYUlC0UDNAX8i4tG+PYFcNtbLbN7AEAgjddKRWFbKHEnP58J3YJxEC/u8jIyMCOzFKcaMCdo7G/nU307vsX/df3UGAdYu6d0xE49ffMxcVFY8p0Y/rimDPXV17880rcOfObThUZ/VJ4Ur9zQt8XxcqiUQRZu3YtZs+ejTt37sDVAtY2QzhEWbrq6mocP34cCxYs0Hl84MCBOHhQXL3Auro6VFRUcFblt2/fRmhoKGpra9GxY0f897//1dlparN06VIsXrzY+MW2bSM9zRQuRWfMzNg51MvqAslnTjMmkPq9LPWxt4pCfO/B58cKsfyzNNy/doF0W+jGFUlXF8MNhG2lzyff6/u90BnbvtuMmBZuUKlUGDlypI4p0+3f6idbTxTg2LenOOecO3sWJvZZI2sVGdpc2TZIzyvBrWZRcGP64qPdp5DQNtIyf4OaGuCffwCB+7vSKCqSxcXFqK2thb+e+dLf3x9FRcIRndq8/fbbuHPnDsaOHat5jGEYbNiwAe3atUN5eTlWrVqFnj174tSpU4iO5ibbL1y4EGlpDxz/6p0khzffBEJDFRXJ9LwSo2ZGW8gDXC3SXwiIM4vaQ0UhsZWC3lr3GaYP7Ijz1+/x7nDsxce4L/M67+MvrdmINCMR1UKvMWVAL0QrcOOsD2kutoz299dn2By8+cc14I9rynYDUbNxIzBpElBcDLRoYXy8zFgkcEc/6ZZlWVGJuBs3bsSrr76KH374AX5+DyqIdO/eHd27d9f83rNnT3Tq1AmrV6/Gu+++yzmPu7u7cWf+7dvAsWPkj6Egxvx6SYyvVW8Aan+hUDpH32gf7M8u1vwupnaqPVQU0hfx+Ea3UHnjMtCEu3r1DwxCw4YNERfS0GZ2OMZMuHztl07VtQJUAzhjxaRtW2N3Zys78PqGoe+voWAt2UhMJP8eOAAkJyt3HQEUFUkfHx+4uLhwdo3Xr1/n7C712bx5M6ZOnYpvv/0W/fv3NzjW2dkZXbp0QXa2+N0Phz//BGprH/xBFMLYLsOaZefE7PYe7tgSc/rHSFrR21IUK5+Y8N0Ejt9rjoaF6QDPn0PbnGoLOxz9v1t3fyf0dLmoI4h8LbO6xqrwF8/5xJa0s4XXTlEecxumm01ICBARQarvOJpIurm5IT4+Hrt370ay1ovbvXs3HjZg0ty4cSOmTJmCjRs3YtiwYUavw7IsTp48iXbt2pk+2X37SCFdlbKJ+4YKB1hzFyKmZioAzc1QzDxtLYpVKK9vr4DZ8eFxk7D5ODeyUn+hY8kdjr7I8wn84Wss9py9DP/cA2AYBlOmTBGsIqP/nkj9DNLdneNjTsN02UhMJPdoK6C4uTUtLQ0TJkxA586dkZCQgA8//BB5eXmYMWMGAOIvvHLlCj7//HMARCAnTpyIVatWoXv37ppdaKNGjeDp6QkAWLx4Mbp3747o6GiUl5fj3XffxcmTJ/H++++bPtG4OMDXV9EagYYCV6wVrCKlOEBKXJDoG6IUH6QlKgoJ5fV9/eZ8FDp5w6PbWM4xAZ62Y04F+EU+xp+/bFrjNv3w+XsvGp0r3Q1SjMFnWldjse/DQw8BR44A9+4BEko2yoHiIpmamoqbN29iyZIlKCwsRNu2bbFjxw6EhoYCAAoLC5GXl6cZ/8EHH+D+/ft4+umn8fTTDwrpTpo0CRs2bAAAlJaWYvr06SgqKoKnpyfi4uJw4MABdO3a1ZyJmn6sCIyJhrGISCUQG20KEIFcMVZcdJmU81rCvJyeV4Jvj+fzPhfSpjMGB/vgm1Luc+rdrS2IiJDINz33A9Ca3yoj1gxGd4MUYywYEot+0c3xUPJ4TH58KpIS+1j2+zB+vMVqaeujeJ6kLcLJr7l6lYQYJyYq0uBTTF6kpXO+lKqZKmVnaolcSGPzUe/g+cyOtpCnCTwQ+a+PcoU+tuwYan2ikFXD/fvQPEKK3ERGRiIlJQVvvfWW5S/OskBlpWYn6RB5knbDjh3Ak08C5eWKiKSxwBVLRrRK8T8C0mqmSoliVdq8LPZ1qnfwtmp2NCbykx+fgtQuITZZyYfieITE9cGholqk55VY/vM1ZgxQVwds3WrRy1KRBIC//wZiYwEP+R3QYvIiLRXRKrU4udQbrZQoViUFUsrr1A46sDWzo5hFh1rk30mNw8SEMJsTeYrjMHdzOnKjHwEAJK89aJkcSW0iI0nOpIWhIgkAx48D8fGKnNpW8iKl7PJMiTYVsxhQOopV6i7Z1ndbezKuGR1jyyJPcRz0LRWAhXIktYmPJwVfbtwgQZYWgopkdTVw+jQwYYIip/8j2zZ2kWIr6CSpTIs2FWNSVjKKVcru0RqF0w0l+wt1yLjavCOa9hgneE5bF3mKY7D5WB5HINVYtM2beiNz/DhpoWUhqEgWF5M3X4EmooY+XIDlbnKbj+UJVtDR59kkaaItNhdSqcWAKbtHSzex1hfwrk3K4F90yGiHDM+IDvi6mHs+W+mOQnF8+HaQ2li0BGNEBODlBZw8SUXSogQFASKLrUvB2M5mdlKURW7WUqNNpdx4pXT0UOKGbou7RzHJ/kdve6LhiWy0CWiGiRMnGuyQ0Ywn6tbSIk+pnxgTyPgQL8su1JycgHPnSNEXC0JF8uZNwNMTkKljASDO/ye29JfS81ie0g6uLs6Sgz2s2dHDVnePfMn+bg3481+ffHWVqDnZatQtxbFJzysxKJAA8NIwKzRiCAy0+CWpSD7yCGmyvGmTbKe0lWAdo/NQmdZxw5odPaTsHqXmeJqDULJ/5bk9aNg6yaxz04AciiUxVHxDTZLKSo0Y/vgDmDfPoiXqqEhmZQG9esl6SlspYl5TW2d4HhL9j4B1O3pIuTYgLcfT1Pmod3hCC5JecW3wdxX3cUtYEigUqYhdhJpy75CFBg1It6bsbCA83DKXtMhVbJXbt0m1nZgYWU9rC0XMjX3YpdRh1cZaHT3ErG6VvL4++u9vrCcLviZTY4b1R+fiOzZT/5VCEULsItSqn191A4qsLCqSFuHiRfKvjCJp7IM2sLXyTmcx/sJeUdLzjDYfy7N4LmR6Xgne3ZNt9LpKXV97HupdIwDO+3u+jL8wvquLM/UrUuyC134+Z3SMtRoxaGjenDRezswEBg2yyCXrt0heukT+jZbPdGDt3mtizSVSQ7fFnFfuABlTKgQpEaDDacgc4iX6WPX7TP2KFFtEvfirqa3D8bxSg2OVrpQlmpgYspO0EPVbJB9+GCgpIbk3MmGseICSeUVKmUvERsnK+QVSukKQ2DnwRdEK3UziQ7x0nqNmVYotI3YRanN5ua+9BihY0Fyf+i2SgKwCaSxs2lQ/oFiMVdUxNdpTTDUduQVSrP/RUrtHMahD4qlZlWLLSEmhig/xsr283KR/o8XLyy1yufotkpMnA337ArNny3I6Y6ZWU/yAYhFTVccUgbR0gXZbWN1KjaIFdHeNVBwptorUxZ9VciGNkZ8PfPIJuX9bgPotknv2AF26yHY6Y6ZUpUytYv2Fpty8jTnz5cz5FCtOptaXFXP93OI7uHzT8GJHzeykKIS28KC7RorNI7UAB2DD7oKSEuDVV4GEBItcrn6LZFkZECKfmdAaqR9K+gs3H8sz6syXcxcptgi7EjlapphXbcpPQ6EIIPWzbXM+SH3U9+yrhisCyUX9FkmA1G6VAWulfhgTlpS4IMWq6sgl/OpVrpgi7HIuNrQj+8wxr1JMw1BnFLmPFTve0Dhz5msNTN092pwPUh9PT6BhQ+Ca8VZyckBFUqZagNZI/UjPKzEoLPEhXlgxNs6k8xr6YoW1aIx3xnaU5fVYywdpys5RiXnUV/jq3Ipt4Cv1WLHjDY0Tes5WhVPq59uSJRzNxsmJbG6KhC13clK/RfKTT4DQUFlOZWl/ZHpeCeZ8c9LgGFOc7ul5JZhr5LxyCaTYIulyrm6lrK77Rvtgf/aDXlV2scq2A4Tq3Ao18C0tLdX02/wzowC70VHw2Js3b+r05EzPK8GFiGTO+IFtAtDSvVpz3oOZV7HPrQvveVlwi0esO5CDa+WVOtHsM/pE2ETRCFMCz+xGINWMGyfbvdsYTizLsha5kg1RXl4OT09PlJWVcVoTmYNQa5mZfSMwf7C4VbIYxJpCpV5TqfOaei1A3vxLqavrFWM6aOqy2tpOwR5gWRZXr17lNJPOrPKEc8/HOeNfSGqJ0LprnPFFWjuGkKEz4NR+OOfYZpf/QOHu9SguJosaJycnhIeHo3mfx3AjoCtnfOWxLbj2+6cAABcXF4QOm4na1twehY0v7sW1nHNoOuBpya9f6m5Trl3p1hMFSPv2lOjxct+fLIVS93F96vdOctMmYPp0WU61bOd5XoFM7hgk6wdQqUAdSxUMkLKTk6vChym+GQCamxUVR8NUVVUhOzubCOC/OzP1z+3btwEArq6uiI6OBsMwSIjphSM850mb9zzunPkNDRs2RExMjKb5tLrfZkxMDD48WIBVey5wjvX09MSYWbM0Y6Ojo9GwYUO8szuTd3yPnj0x4ekRYBgGkZGReH9/Lu84f39/dGunwt670t8Xod2mVFOvWGpqapCTk4P8cxkQc2u3a9dBaanFqu7Ub5HcsEEWkTQkMNtOXsXEhDDZPojGfJ/xIV4mCYuxggGdQ007rzbW8D+a6nukgTlciouLObu8jIwM5Obmoq6OdJxp3rw5YmNj0aFDB6SmpmqaSYeHh6PBvz1bt54owBGenc5z8+Zict+PEBISAmdn/j6ciSo/XjF7d+EM3r+X0PiXp6bojBcat+L5J5BbfAd7JezMtNFfOPOZlU0xP2t25VqLkgsXLuD+/fsAgMDUxXALjxecl927DtatA5Yvt8il6rdIytTh2pJBO8Z8m6b6IY0VDHhxqHlJxdbIgTTFN2PXq2sZuH//Pi5dusQrhjdv3gQAODs7Izw8HAzDYNSoUZrdG8Mw8PHxMXoNoc/ww/0SEGbkfY8L8caMPhGiu6qIHS/1vAC3DKFYftp/FH+VZeuYn116TeGMW/7TaUyOuMf5O1zTiuoMCQkBwzAYOHAgZmntpAtrGiJl7UHOOR3m8x0YSHaTFqB+i6S/vyynsWTQjhK5mGLKzpn7pbJ0DqTU1lqAA6yuId6vVV5errMLUf8/Ozsb1dXVAAAPDw/NTXfw4MGa/0dFRaFhw4Ymz9EUQdJGalcVseOFxgnNd2DrACTzCJExlr/1P1Rn7NeYn4eqOmMXT2TI4fzb2PZaGpxL8jTm5759++qYnz08+O8tgQDvnO39861BpqwEMdTvwJ0FC9Bs6VJZzilk1pPTKZ6eV2LwS7ltZg/JYrb5WB7mbz1jcIwp59XG2LzVyPVeCQVQCeEoq2v9z+CTfSLwWNsmvLvCq1qJ2K1atdLZDap/goKC4OTE3wJMDmw1fUIIvvmaYs7/T58ATB/QQWN+BoApG47ypnMtTAzCE/3bw8XFRbY5yzneahw7hvKuXeEJ0MAdRWnXTrZTLRgSi86Bbhj12DQ8/exsdOsSL/sHzdhuTKpZ11IFA4yVtpNTpKQKpKOsrvlMyx8cyMGrU9NQXZgFNzc3zW5kypQpOruRpk2bWmXO9hYUxTdf7d3nH9k3dD57KXFB2JrO/SwmtInQEUiAWFD4RLJrbJjJAik0ZyHkCB6yGE2bAm5uwL9WDyWp3yI5nBtKbg4PdYhAg4IT8Lp1DimdHpb13GIKmEsx61oqmtVYaTu5cyDFCqS97R6NrfCF/OLzX1+BSX0YhIWZd7OlCKMWopROrTAxIUzn7+TXtKEos7K5Jmg+pOwKpQYPWR2GAW7cINV3FKZ+i2Rlpax9yZycnMAwDDIyMmQ7J6DMjs8S7a+MzVvOHEhbaK+lFEIr/Orqaly4cAEZGRn4/vQ1ANz3sk3bdoiMtIFGufUE/Z2bFP+pVF+rIQztCisqKjipOmduNwLixnHOo3STeHugfovkvn3A2LGynpJhGJw/f1628ymx49t8LE/R9ldi8hJNTVXhwxbaaymF0Ar/41efxaXj+1BbWwsA8Os6HI2SZnCOd3XhT6WgWA4pJk85TNBCn5mf1r2OS8f34cqVK5rH1f7oLq0Z/MlzLiWbxJsFywK9elnkUvVbJAUiw8yBYRhs/+s0tpwoQIQMPkljfsgklbQdn9J+SLGCJUefOqmFCexp96hGyIzasc8gzH/iQR5iQaUrb8i/zd7kKJKQYjoV+sy4tmiJxx9/XNAfrf/dVbpJvFk4OQEXuHmtSlC/RbJJE1lPl55Xgv1og2aP/Bfz/k0+Nsf5bayAOSAtZUJpP6TYvEQ5goGkRBXKadaVG0M3v9LSUmRm898IxoxN1XlNfuAP+bfZmxxFNEt3nscHIgNqWJZF8a0S3udmzHza4PdgwZBYnC8s19Qr3pp+FX5NG9pu8I6HB3DvnuKXqd8iKWNU34Obtq55yxznt7EiBUkqafmLSvshjUWxAuYLltQSc3KVtlMCfaHv3LgEvlf/0qlZ6tGmH3xGzOMcy2dGldOnZcvYTZqCRGpqapCbm6vjKzx9pRzFnXTr3K47kIOHVD7wqLzBWwqwNjhe9GdGm7mb03UK+quvZbPBO02bAsXFxseZSf0WSZl2ksZ2UKY6v//IlncXqaQfUkyDZnMFS8ru0Vb9j4Z6WP591xseZ/PQNtBPU7PU2TcC83/n3giEzKj2llYhFbFpCrbcF1K7q4n2j3ZZuaZNm4JhGDTuMpr3HIMmz0XJH18BALy8vBAbG4s2bdpg9OjRaNiSwYp/uMcYMr0bigy32eAdmS2BQtRvkZSp4o6xHZ8pfiFj6QxKRLMq5YeUQ7DEttUCbNf/KEbkn3h5BWfuuTXnqRkVwB/n8kWlKZjSFxKQVzzr6uqQn5/PW8hBu6tJcHAwGIbBgAED8Oyzz2r8hYGBgXBychIs0D506FBMf206GIaBr68vp+jD3Z3SPjP7Mq8LPmezfu033gBGjFD8MhYRyTVr1uCtt95CYWEh2rRpg5UrV6J3796C4/fv34+0tDScPXsWQUFB+M9//oMZM3Qj97Zs2YKXX34ZFy9eRGRkJF5//XUkJycLnFEAmaqJGPoQmXpDMyS8s5OiJImAktGsxnbR8SFeZguWI0SvmlJHVk19MaMChsWlokUsrxlx2+8HsecWGXOqoAzXO07SeV5tnrx69SrWHSjgPDeoTQB2nS0yKZH+7t27mg4oOu3AMjNx719/mbu7u6aQQ+/evXUCZ5oY2Q0JFV6fN36IbOkkhr5fNh2806ePRS6juEhu3rwZc+bMwZo1a9CzZ0988MEHGDJkCM6dO4eQEK7pLTc3F0OHDsW0adPw5Zdf4q+//sJTTz0FX19fjB5NTA+HDh1Camoq/vvf/yI5ORnbtm3D2LFj8eeff6Jbt27iJ3fnjix5knyJwEkqXzybFG3yB8yQ8Caq/ESfR8lo1vS8ErywzXBJO3OiWO09elV7Z2LM2qBG6G/raGbUu3fvIisriyMuWVlZGnFp2LAhVCqVpmZphW9bbCngnmvFOyvBXjxIzJNdH+G93qDJc1F96yqvyL6zaRcOlOjGJ2jvUFmWxbVr3D6XGRkZuHz5suYYPz8/MAyDrl27YuLEiZq5h4aGmlzIwZwiA2I+M8YWbxO6h4meq8X55huLXEbx2q3dunVDp06dsHbtWs1jsbGxGDVqFJby1E2dP38+tm/frpNrOGPGDJw6dQqHDh0CAKSmpqK8vBw7d+7UjBk8eDC8vb2xceNGzjmrqqpQVVWl+b28vBzBwcEou3IFzYKCZHmdALDvzCUM/78pWPz805g3id+XIBY5asGKqZlqaiCNGPFNUvnik8nchrdynR8AxncNtsmu6vrz9668ipKGhj9r9tL8VqxZUqy4+Pv789aO1W+ZJdRM+MWHgjE1qS2cnZ2F+0c2K4WqlS8+PVfDee72yV1o0nEQ5/HmlVfhdmg9MjIyUFZWBoA0aI6MjOTMVaVSoXnz5obfODNQyo8qVDNWzYoxHZDSqZVs15OT8h494HnokH3Xbq2ursbx48exYMECnccHDhyIgwf5b96HDh3CwIEDdR4bNGgQ1q9fj5qaGri6uuLQoUOYO3cuZ8zKlSt5z7l06VIsXrzY9BciksR2YWhYdBr38s0rJmBodTewtfj2XsaiTU2NZhVrOjS1o4cU06StCaTQ7ldIIGcnRSG0hYfdmFH5fHrz+kfh4sWLvGKoLS5RUVFgGAbjxo3TERdvb3GvW8i60jkmWCOmQubJ5x8dSnbz57giO3/WDLx/IJfz+K2GQYhrm4CHH35YM9/IyEi4ubmJmq+cKGFJEJNiZrP+SAAQ6DkqN4qKZHFxMWpra+GvFyDj7++v47zWpqioiHf8/fv3UVxcjMDAQMExQudcuHAh0tLSNL+rd5KQeROdnleCwIFPYNfVBhiWV2Lyh9qQaU5spFl6XonRaFNT/ZBi2l6ZE1xiLMhIjRwtvOTElI4QtupD5UOoksuS6aNxr4AsDD09PREbG8vpNRkREWG2uIgxPZpinuzfJhDnrt3m9dtPeGqeze6kzEVMoRKb/mz+2+hbaSwSuKMfecWyrMEWPHzj9R+Xck53d3e4u7tzn5DxTdbcIEN7owJA8tqDJhcSMLR6E7uyM+YDM8cPaWz1aU4upJggIzXmpKzIiVjfqX6TXnuLUhX6TCU8sQSvJPqCYRj4+fkp2l5LTECK1L6QcSHemJUUzfu5s+mdlBmIaZggV29XxXAEkfTx8YGLiwtnh3f9+nXOTlBNQEAA7/gGDRqgRYsWBscInVMQMxrHaiNkHjQ1ETcuxBvJHYM4KSBSbqpCOZbxIV54aVhrk2/OcpfJ00bKTsxWBEbKnNVBTNaOUpXq39I0aD6RDYDbdeFiZSM0C28Pf3/LvB4xpkehMaYIqKNhqRZ5itOzJ3DkiOKXUVQk3dzcEB8fj927d+ukZ+zevRsPP8zfSiohIQE//vijzmO//vorOnfuDFdXV82Y3bt36/glf/31V/To0UPaBPl2lyYgh3lUm2U7z3MEMrljkOigjs3H8gRzLM0RSKVWn1KiWG0lzcOUyj/aN2RrIZQnWFdXh4KCAl6/YmFhoWZ8yGNvwKlVe855bTbhnAepAupIWKpFnkVYtAhYsULxyyhubk1LS8OECRPQuXNnJCQk4MMPP0ReXp4m73HhwoW4cuUKPv/8cwAkkvW9995DWloapk2bhkOHDmH9+vU6UauzZ89Gnz59sHz5cjz88MP44Ycf8Ntvv+HPP/nq2BugokKWFBA5zKNqhD7E205excSEMKNfXGOrRFNvZkqtPqXuHm0hzcNeK/8I+RS/fnM+Lh79HXfv3gWgm9f3xBNP6OT1Zd+q4Y2YdhSzpKOl2uijpCXI4gjEoMiN4iKZmpqKmzdvYsmSJSgsLETbtm2xY8cOhIaGAgAKCwuRl5enGR8eHo4dO3Zg7ty5eP/99xEUFIR3331XkyMJAD169MCmTZvw0ksv4eWXX0ZkZCQ2b94sLUcSIG9yy5Zmv0Y+Uw1gmmiYsysVs0o0tfqPEqtPKVGstrC6NWX3aAuirkbosxXSpjMmj0jUiKGhvL64JrSQur3iEH5IbQYPtshlLBK489RTT+Gpp57ifW7Dhg2cx/r27YsTJ04YPOcjjzyCRx7hTxwWze3b5h2vxYIhsbh4YCt2n7mC2bNnm7x7MGdXqlTpOaVWn1KiWK0tkFJ2j9bK3TTka6yursblfJ5MfAATJk2W9P7WB7Oko+EwfkhtKioscpn6XbtVRpEEgF5MK3y87CU8+c3/0LhxY5POsessvwnB2AdYqdJzSvohbT2K1VAxckNYQyD1b4LtmtxDbNlRjV8xJycHDZk+JnWH4MPRzZKOhEP5IbWR+f4tBBVJGWEYBgCQlZWFjh07Sj7e1CIC1vQXmppLJXYXaa3VrSk5j4Bl5qu/Y+T73Jy53Qhn8huhTW0tRowYAYZh0CAgCosP3uWcz1H8iRR+HMoPqeb+faCy0iKXqt8iKXMpI5WK+J8yMjJMEklDlfiF/JHW9heasosUs+u1ZsCLKcXILTVfvujUGH+BvqhhXfHazDk6c7rWgHYUqU/I3bjdZrgjrhayHNRvkezZU9bT5ZazCBo0DRv/KYdKYsUdYzsXodW+Uo2UxRTkVmp3au2AFzEVhbSx1HyFolOr//gEbr2n8B6jv7ii/sT6hbHSlDbd5cMQnp7A9euAn/hmD6ZSv0Xy3j3ZdpPqm79r3MM4VSut4o6xnYvQB1nJRsrGTHBK7U6t6RtRR68aW3mrUXr3qG9WFVq4PNQvEbebVCO9lFv2je/vSP2J9QNjjdBT4oKwYmyc5SYkNzLluRujfovkypUATycSqZhbccfYrq1XlC/v40o2UhYKIALIl0uJaFZrRrFK9UEqvXvUn8+jcb5ocO8W79jhIx9GapcQzN2crlNEgppS6y/GPs92GaijzdmzwJNPWuRS9VskS0pkOY25FXeM7dr4nrdmI2Uh0TaEkvM1Fyk+SEv4Hvnm81X6DZT+8RW8ej/KGa+OTn0nNQ4TE8KoKbUeIyaXNz7Ey74FEgAKCoC//rLIpeq3SF67JstpzK24I1SMAODfDSid82TMjyE1GtKWc7TS80rw7fF8UWOV2D3y5TYKLbqefXYWvjh5k/O49t+DmlLrL2KtIeY0QrcZtEolKk39FkmZ3mg5Ku4sGBKL84Xl2J9drHmMr16r0n69uZvTDfoxpKZ82LIfUoqJVYk56l8/vnktOt8/i72XKwFvbrPqthFBmNHMk0anUjiItYY4zOelsBDw9pbNGmiI+i2SMu0kASJy+75chWsuPpg4YYJkk9zczek6Agnw12s15r80x69nqDC6Gqnh4sb8kKb6N83BlPJycs3RUIGC47dccDCzDH51twCej46rizONTqXwYsz6AziAH1Kbq1cBf38qkopzkFuo2Rw6h/tgw4YNmPv5a5KOS88rERQnfZ+mUAssNab69ZQwiRqLvu0c6mXx6DprFicXc213VW+8kNIO87ee4TynNqtSkypFjXrBZ6zBupwLPZvgscdICt///Z/il6rfIukhb6URhmFw5coVVFRUoGlTgQRvHgwVEdD2NxkSU8D0nCclTKLpeSWY+81Jg2NeHGpZ38jmY3lWK04uJTjI1cWZFhGnGEXMosuWutDISrduQKz0hvamUL9F8uGHgY8/BiIjzT5Vel4JrjUKhUe7/vjw15NI6tJW1AfT0AddX/SMmS5NiToF5C9bZYuBOmJ3kHLeVLSDcsQUZ1AT7uOBlE6tqFmVwotYd0F8iJdNdaGRlQ8+AFpbZpFdv0Vy3z7g0iWzRVL7BuwzbA5W/12O1X8bLyZgbHcxoXuY5v9iUihMqcEpdwFzWwvUkeJ/lHP3qC/KQSgBn6MxLtgT6fllOnPQbs5MxZGijRR3gUNEsfLBssDs2cCSJRa5XP0WScDsCFdDomCsmICx3YXaH2nNAuZSz2tst9s51HI5WmJvKHK0ttLeNQLgXPcqXyQOyELoleEedMdIMYoUk71Dm+dLS4GqKhK4YwHqt0h6eQGXL5t1CrFCx4eYIgLWLGAu9bxidruW8kNKuaGYK5D6YhzXSnypQ7UwOuwNjSIbYkz21uplalHy8si/LVta5HL1WyQjI4FsacWs9TGlWo4aQ6Xf1CvBrSf4G+WqMTXlw9H9kGKLlJsS7GRs15heUM57XHyIl04UokOv9ilmc//+feTk5Gh6gu65dA/w7GzwGIcXSADIyiL/RkVZ5HL1WyT/8x8gQLhPoxikVstRY2yno+4faUyETUn5kLt9ji35IaUUKTelwLP+YqCfSnywlNpHRE2rjg9fJSW+xwCgrKwMGRkZyMzM1AhiRkYGLly4gJqaGgBA06ZNEZo41qBI1ptFV7NmQEoK0Ly5RS5Xv0Vy8GBZuoAsGBKLga398dCo/8PoMWMxdPAgozdBsWZaMbtNqRgtSCCxqo6tFC5X2gfJtxgQMi/3jfbRKQ6hH5BDcVz4en4CuhaH8MoLwMnvkZGRgaKiB9/xkJAQMAyDAQMG4NlnnwXDMGAYBgEBATiZX4rktdzcbodN8xBi0CDyU85vsZGb+i2SRUXA+vXAlCmkP5kZdAptjlD2GlwuH0VKp6lGx8vhj1TvNqVidHcqcRdpC4XLlfZBSqnxCgAPd2yJOf1j6K6xnnE4u4i356c+uQ2j0Ca4Nab36aMRwpiYGHgYyN3ms1pZu/eqVbhwwWL+SKC+i+SNG0BaGtC9O5CQYPbpGIZBRkaGqLFxId5I7hjEWxxArD9STIcRPj4/dEnwObmjWc1p1yUFsT5IpaKA9aEBOY4Ly7K4fv26jmlU/XOjSQR8hqeJOk//CbMkC5w5ZQmFzL12BcsCXboAzz8PPPOMRS5Zv0UygphBkJUlm0ju3btX1NhlO8/zCqR2UXNjJehMzYsUqtozOylK0pfW2u2vtOugivFBSvGLGqqxaox64xuyIZQQgJqaGly8eJFXDMvKSG6ri4sLoqKiwDAMxo4di7sBHfCjcAEtWTBl8cVnAlbncNuVeN68SVJAVJbbPddvkfTwAFq1ehAtZSYMw+D69esoKSmBt7fwh82QaVBd1Fz9fyFMico0tiNKVPnJdi5AWbEwpUmyWIE0Zee4PKUdXF2c7eNGoyCm3nDNuVEbEgAxlJSUcIJmMjIycPHiRdy/fx8A4OnpqTGLjho1SvP/iIgIuLm5ac619UQBfvz2lKjrSvm+mcL9+/dx6dIl/HIsA+tOO+k8p87h3nW2yKz3zuKo79UxMRa7ZP0WSYC82ZmZspyKYRgAQGZmJrp37y44TkzQzo+nDXfjkFqCzpjPLj7ES/TNydrRrEo1SZbaHUSNwxWPNhFTxcrU41iWxa7jWbw+QP0iHnV1dbh8+bJGALVF8ZpWN6DQ0FAwDIPBgwdrhJBhGPj7+8PJSVdo+BCy7ui7VuRcQFZUVPCKfHZ2Nqqrq+HRph98RszjHPfEmp246aQbi2GsAIrVUd+ro6KAfyN/lYaK5LBhwN27spwq5t/VTUZGhkGRNGYmramtk70EnTGfnZQSVtaOZhXrf0xS+Yo2H5uye6x3UYUG4Fu4GLrhVldX4+LFi9j1dybWnXM1eFxlZSWys7M5IpCZmQmEdeUVgAVf7kf3qnTN2KysLFRWVgIAGjVqBJVKBYZh0K9fP40QRkdHo3Hjxma9D0LBNfMHx2JiQpjJu2WWZXHlyhVe0++VK1c041q2bAmGYZCYmIgZM2aAYRjUegXjyS0XOOfUF0g1psY6WIRr10h+e6NGVCQtRpo4J7sYGjdujNDQUKPBO4bSOlLiguDq4mzweFNaVhny2UlJ+bCmH1JKDiRgPEpXit+Rr8ZqvYsq/Jfy8nLOzuXM7cZAp3GcsWcuX0flFe6N/eLFi6itrRXc5by++mPcO7cPGRkZyM3NBcuyAAAfHx8wDINOnTph/PjxcG/J4H881s3MClec+Wk3VD7u6NGjB6ZMmaIRw+DgYDg7G/6OmYNQcI0YX6KhBcGdO8QC5ebmhpiYGDAMg8cff1wnOlao+1C/f8qMfm/VmBLrYDEWLJD1ni0GKpIsS6rueHkBfub7CIxFuBozFfaK8kVNbZ3g86aYMY2Zd8WmfFjTD2mKD9LQPKSer77VWK2rq0NBQQHvzqVQq95xcHAwVCoVYtt2AZ8n7qmnn8GdM7/ByckJYWFhYBgGw4YN09zYM++3wOu7L3GOO3HyFNo0dEZKSopmrEqlgo+PD3ds5VHehdN7n32DlE6tzHkbTMaQILIsi+LiYt731tCCQP0+hIWFwcXFRdJ8ZiVF84qkkmZg2WFZwMkJ0PIBWwIqkvfvA+3bA8uWAXPmmH06hmHwyy+/CD5vTLD+yL4hGLBjqu/LUJSs2C+FNf2QcvsgpZxPjaOmdNy7d09w53L3XzeEu7u7ZufyxBNP6OxcmjRpAoAErKTxBKw8/dRMPNrjbURHR6NRo0ac54sF0pz+t3yZaIF7NimaVyStvSO6f/8+cnNzecXw1q1bAABnZ2dERESAYRhRCwJTMWQGds87go92HMILCxciibFM0XCTyM4GEhOBn38G4izXrJ2KpKsr0KEDcPy4LKdjGAbvv/8+ampq4OrqynnekGClxAVha7pwwI4pxQMMpXxIETVr+iGl5EAaM4FKLQqgPq+tiqOYqFBDeX2XL1/W7Fx8fX3BMAw6d+6Mxx57THPDDg0NNbpzERKkcUP7ob2B907oOCkCJyQAlvqblZWVcczPmZmZyM7O1ikrp34/tXfSkZGRcHd3t8g8+czA6Xkl+AfBaNo9GKv3XsTqvRdtN8L1+HHStSnEskFyVCQBoHNnQGR+ozEYhsH9+/dx8eJFTbSrmvS8EoNpHcHehoMGpDrUjZkUjfk+gQd+QGv5IcX0uwTECb5UE6utB+bov55pvcLwSFQDXjEsLS0FQPL61DuXMWPG6OxcWrRoYfJcTBUquQTOnCR7MUgxPzMMg4ceeghPP/205v0NDAwUFR2rNNrWEKHvg81GuB4/DoSGAmZ8Tk2BiiQAxMcDa9cCFRWAgONbLGphzMjI4IikMVPrnxeKDT4vZXUtxqRo7HxiRUWpqjpir2/MDG1KaoetB+bw/X0/+vMSlkxLQ3VhFpo2bYrY2FgwDIORI0dqhFDJnYupQiWXwAmZw6XkYMplfrZ1jN0fbDLC9fhxcq+2MFQkAfLGBwYC+flAa/P6Hfr7+8PT05M3eMeYKGm3UdJHavEAMa2wDJ1v87E80aIi9y5SrKiJ2ek52u5RjdCC65W33sOUpLYICAiwys7FVL+tUv5evhzM+YMZUeZnPz8/MAyDLl26YMKECZqFhhjzs61jbMFubX8uh7o64MQJEt1qYahIAiRwRyvXyBycnJwEI1wNtdVKUvkaNCtKKR5gbissKcIit+9H9O7VSA6kve4eDe16tJPGfzp/C0Ak5/ioGBUCAwMtNFvbRih3839zJuBmFolBcHFxQWRkpKasnLb5ubmFWjFZAzmC+SyKkxPw99+AFXbqVCQB8gcAgHv3SJKqmRhKA1kwJBYdWgBjpjyNOWnz0KljB82qzZCwSVnZmdMKS0rkp9zRrFKuLZfIA7aze9Sfd5cmpfAvPMSbNN6qVwpcenFFUoyfub4g9D0YMX4qRrZ/URM442bhlAJrYyw2wtTuQori5AREK99NiA8qkmpWrQKWLiXRU2aaqRiGwffffw+WZXlNXoM6q1CXcxgtyrKQ0mkYAHKDFELqys6cVljGoli15yR3NKu5nTzsafeov2PkWyAcu+2FRicvok2AFyZPnqzj+7pYWsvbW9DmzGRWQF2z9Hh6BgDu92/w0GFIrsdlBI19z2zSH7loEYkXee45i19aUZEsKSnBrFmzsH37dgDAyJEjsXr1anh5efGOr6mpwUsvvYQdO3YgJycHnp6e6N+/P5YtW4agoCDNuMTEROzfv1/n2NTUVGzatMn0ybZuTUoenT9vtl+SYRiUlZXh2rVrCAjgrsqcnZ2hUqk0u005+0am55UYFDpDvk0xvSGV2nWZG8VqT7tHPj+ZWwP+HeD0RSt5RTyuGaya9mAJjAXcmFqztD7vtsV8z2xyofXZZ0ByslUurahIjh8/HgUFBZrk+unTp2PChAn48ccfecffvXsXJ06cwMsvv4wOHTqgpKQEc+bMwciRI/H333/rjJ02bRqWLFmi+Z0vUVkSPXqQnMm9e2URSYBEuPKJZHpeCTy6jcHhigrNjcAQYld2YoTCkG9TTC6kErsuc6NYpRYHsKbvUchPVnl2Dxq2SZJ0LqXTHqyJ/mdicIgz2tbqtq0ytWapTYqABbB25x6TuXQJuHyZFBKwAoqJ5Pnz5/HLL7/g8OHD6NatGwDgo48+QkJCAjIzM6Hi6Qfm6emJ3bt36zy2evVqdO3aFXl5eQjRSiJt3LgxrwCZjIcH0LUrsG8f8PTTZp0qMjISDRqQfLVEvT+s5oPq3QHwBpLXHkRyxyD+E/2LmC+1WKEQOpe1arKKmbexXZ9YE/H4rsEYEx9s8ZuA9o5IaEHUs1NbHK/iPm6snZIjVgHi+0z8kleHL79eh7CmZBGqbX5WqVSCNUtn3Khz6N22WKzduccs9u4lLrA+faxyecVE8tChQ/D09NQIJAB0794dnp6eOHjwIK9I8lFWVgYnJyeOifarr77Cl19+CX9/fwwZMgSLFi0S/KJUVVWhqurBHai8vJz/YomJwBdfPKgRaCKurq6IjIzkBO8IfVDl6BtpbDcKCN8grLnCFJOqIrTrE1voQI01BFL/vY31ZMHnJxs77CF0Kb5Db+gA9mXydy1e/NF3mDeQ4X1OCEfebUtBzPfMJgUSIBuXjh0BAz16lUQxkSwqKoIfT8FwPz8/FBUJd8HQprKyEgsWLMD48ePRrFkzzeOPPvoowsPDERAQgH/++QcLFy7EqVOnOLtQNUuXLsXixYuNX/D554GXXzY7cAcgq91MvT6VYoRMH7GpH8Z2m0KrRGvXZDU1VUXugudyob1rBMCZ4/ky/s+Wq4uzQ9/QhfyL6pZZ2mbUvyv9gYi+nHM4m/i9dMTdthTE+CHFNjmwCrNnA//WurUGkkXy1VdfNSo4x44dAwDeyE6hiE99ampqMG7cONTV1WHNmjU6z02bNk3z/7Zt2yI6OhqdO3fGiRMn0KlTJ865Fi5ciDSt9irl5eUIDg7mXtSTv7+aKTAMg82bN+s8ZoovROwxhtpvGYpENWaqTIkLslpNVr5UFSkRrMtT2sHVxdligqMv3PEhXqKPVf+dHfGGrv++MGwe3M//otMyCwC8vLyI+bSdD07wnMeY6ZnCxW79kNrw3NMtiWSRfOaZZzBuHLdvnDZhYWE4ffq0TsdvNTdu3IC/v+FK8zU1NRg7dixyc3OxZ88enV0kH506dYKrqyuys7N5RdLd3V18Ka7nnydRrp9/Lm68AAzD4PLly7h7966mkauhYgJ8yNWhQyg61pgfsnOoF1aMlbfavnYPR6mrWym7R6UbP2sjJNxCFZTiQ7x0nrP5m5QZ8H02M5xCEObaXKfQN8Mw8PX11Syg9f/WjvweKYVd+yHV/PILqbSzcKEsFj5TkCySPj4+olq4JCQkoKysDEePHkXXrl0BAEeOHEFZWRl69OgheJxaILOzs7F3715RRZfPnj2LmpoaeSqNNGsGfPABUF1tct+y9LwSXPcIR+O2D+HDX0+ib6dYzRd8wZBYVJz/E2u/P4AXX3wBSbEB+PzQJR2/ZHyIF14a1lr0TcGU6Ni5m9MN+kIB4MWh5kX56mNOJR8pZfIA5Qqu6yPV7AsALw0j76sjmlX1+eU0f8eVh59cYDDC2JFNz5bCrv2Qaj76iFRDe+EFq01BMZ9kbGwsBg8ejGnTpuGDDz4AQFJAhg8frhO0wzAMli5diuTkZNy/fx+PPPIITpw4gZ9++gm1tbUa/2Xz5s3h5uaGixcv4quvvsLQoUPh4+ODc+fOYd68eYiLi0PPnj3Nn/jIkcArrwD79wMDBkg+XPum6TNsDlYeKcHKIwd12s8kdYjAG/OmY2TEK9hytogjVsfzSrHrbJHoG4Mxk6z+82IEUu6VuzmVfGzZ/yhVILXnZm83fiG/Yl1dHfLz83WKgav/fzciEV69HzXpeo5oerYU5pamtAkqK4Fdu4AXX7TqNBTNk/zqq68wa9YsDBw4EAApJvDee+/pjMnMzERZWRkAoKCgQFN4oGPHjjrj9u7di8TERLi5ueH333/HqlWrcPv2bQQHB2PYsGFYtGiRPEWH27cn/cq2b5cskoZumtrtZ9R5lL8cy8C6M/yJzVLa1RjyR+pHxxorSQUoY4IRW01Hf3Urd8NluZDSl3J2UhRCW3jY9Y5If6ES4VwM/5xfNKJ47949AMS1oVKpwDAMevfujcYhbbCWm6pI/YsKY26DA5tg717gzh2ycbEiiopk8+bN8eWXXxoco664DxBfpvbvfAQHB3Oq7ciKkxP5o/z8M/Duu5Ls4GLNnkFBQWjSpAlO5RQCaGl0vCGMiYh+dKw1mieLWdWq0V7dShEiSxYIkLqztYW6sObA9xnLqfNBUeOO6N21GSZOnKjxK4aEhHAWqyz1L1oUu49mVbN9OxARYXZxF3OhtVv5WLgQePVVyY5isWZPdaeQM8X3AQOFgsREtkppeWOtggGm1GQVYxIGLL97NKU2rC0KgpQei1lFZbyP3/Vrixkzpxs9nvoXLYdDRLOqSU0FkpKsFrCjhookH0GGK+AIYSh6Vd/sGdS+B041ChU8l9giAoaEVPvLYK0vj5hVrb7QiRVIpcrk8WFPtWGNwVc7dsGQWBQXF/P2WLxS6Qr/Cf/jPZfYkonUv6g8DhHNqo2VytDpQ0VSiHXrgB9/JGZXCSwYEovCsnv44VShzuNb06/Cr2lDTfDOrYBuQJ3wecQWEYgL8UZyxyAdUekc6oUXhz6IjrXWl0esMGsLnRifqRpLRLDaU2cRMQjVjl2RNgk3Mkh+s7OzM8LDw8EwDB5++GEwDIO9lQ1w8Op9zvnqax1UW+S1n88ZfN5QzrMUy4JF2LSJNFoeP97aM6EiKUiTJsCOHcDVq5J2lul5JRyBVKMOxgGA/DrDhQvE3nyW7TzPEZW/L+tGx1rLDylVmKX6IJX+MkvZPVq6cIGpCJnnVSlzsCbODQzDICoqCg0bNtR5fhq4O3y7Mds5OOqFnFBeLkAEckL3MGw9UcD5jOp/zpM7BqF3tK91P8tvvgkwDBVJm2boUMDFBfj+e+Cpp0QfZsxHuC/zOkJbGBZAOYoIqAU561qFTfoh9aNYxQiSJYVISlStEr01pSBmF1BbW4u8vDwUZfP3Lc2v80Rk1x5oa+B9fSc1DhMTwmxrx1HPEfu9yS2+o9N/dGxbL/RsUoz9/1zG1tu6zbu3nbyqWQz1U/liVlK0Zf/Wly4B6enAf/5juWsagIqkEM2bAwMHAl99JUkka2oN2FD/xdAuUYrZ05ggr96TbdQfmMTIHwouNbpOTKEAS1bQAcQFG9mC31H/Jjk1IRjDg2s5fsWsrCxUVlYCAALGvgr3iM6cc4nxL1Lfou0gZiHH+DdBjH9TzN96Rufxb/4pxarP/oNmLaPg0V/4/rY38wb2Zt7QyfNWnK+/Bho3BoYPt8z1jEBF0hCPPQY8+ihQUAC0aiXqEGMNXdU3Vb4AH6k7kj+yDQuRmLQLuXeRYla22jlaYk2alqqgozZdGXvvbMHvyHeTXH8oH6/NSEN1YRYCAgLAMAx69OiBKVOmaPIXbzk1Q8q6Q5zzUf+i7cJnLRDTMCHj2m1Bd8u6r7aiUZOmWKAnoLxjD+Qg3MdDeUsOy5JOTMnJxOVlA1CRNMSoUUBmpmiBBMRHm6rD4tVtgaTuSIwFuPg3dce1Cp4GhQLzkQOxJspnk6IlBcRYyvclRrCt1ZOSD6Gb5NDnV+PTx7ty2supCQM4izTqX7RdOIUcnIrhl7MTpyoaA+1HGz1eyN3SuElTo4t6bbR3o4qZYVmWlKAT2UrRElCRNETjxkBMDPnDAaLydfh2iUkqXzzL84Eyx3RlzBxoTCCtVVVnZt8I7DpbJEocLWnOFFsbVmmBNORfZFkWN27c0JhQD2ZeBdy6cM9xvQa55SzivISvQ3MX7QPeQg6sD4o84hDlVwPje0Bh1LtCU1CbYZM7BuGdVBmbIDg7AxMmyHc+GaAiaYzcXGDQIGDjRiA+XtQh6hvQiEefwPC+XbFu8nxZpySlgg0f1qiqExvQFG8ktwMAnQACIWwxB1LpUl7683goqA6qe+d1fIslJSUASJpGREQEmgz0xe1mYZxzUf+i/WBoYZRVWMp7zF2/tngspR3H1ygF9fWkdCbSR23NkkUoa2uBWbNIDEibNuafTyaoSBojOBgoLwe+/FK0SALkBqRyK8XNzL9ln5IpzZu1kdu/l55XgjnfnDQ45o3kdogL8cbjG46KOqct5kAqWcqLb8fw+1VnbP1uI6K9XcEwDIYPH64p/xYZGQl3d3ek55XwLjqof9E+0F8YJXhWIOjGMZ1CDgET3+Y99lRBKSdHWogkla/OIpbP9ZNbfAd/ZN8QnaesZtvJq+ge0cL8hffevcCaNcDkyeadR2aoSBqjQQNg3DiS3PrWW+R3kTAMgwMHDsg+JXNugHL7nsQWDACAd3ZnGk1HUY+3pRxIwLw5iUnRUPum9Xl5zSakGdhR8+0EqH/RPuBbGB0qawqXP0+htV8jpKSkgGEY7Lnnir+u1HCO//ooySmO8W2MrBt3DV7r2aRoPJsULfg5VFsVUjq1wsSEMFGR8drM33oGucV3zIuA/fJLIDoa6MyNvLYmVCTF8NhjwKpVwO+/E9OrSBiGwccff4za2lp5OpT8i6GuH4aQ2w8ptmCAfo6WEJbyQVqyswhfCbhnegfrtJPKyMjAqdqWgIrbdUZM1UrqX7RPhBZGz7z2vo6rYSqASZ8cwf7sYt7xxgRSanu2uBBvfDK5q87iTkwcgZTORRzu3gW2bCFN761cq1UfKpJiiI8nlei//16ySFZXV+PSpUuIjIw0foAITOlhCCjjhzQWqBMf4gUAoiNYLeWDlFJw3Zw5CZWAWzR1FKoLswAAQUFBYBgGndtEg28ZIbalFPUv2i61tbW4fPkyJ3f1QqMYuHVKNnr8sp3nBQXSEOYu8LQ/U3Eh3gj38TDqA1VXzJJ8zU2bSFssGwvaAahIisPJCfjlF6ClcFsrPtR9IzMyMmQTSVP9kXL7+MQUDAhp3lhUYIEliy6LmTcgbU5C5lShv9UzC5dgXPcIqFQqNGvWTPO4/q6Tmk3ti9u3byMrK4u3kENVFYk2b9y4sSZftX0Mg594gtC1F0amLoqVWHSmdglBbvEdg/P5+mg+vj6aLz3qdcgQkh8ZHi7DTOWFiqRYgoPJv+XlgNaNzRAtW7aEh4cHMjIyMGzYMFmmIaaijz5iO4qIRYw/Lz7ES1QAgCVLuon1Q0qZk/45n+wTgcfjvJGRkYHdx/IAtOAc07V7ArrwnJ+aTW0flmVx9epV3m4pBQUFmnFqC0Hv3r0xbdo0TcBVy5Yt4ez8IDexFc/CCICmxqqURbElmnurP6PGfJaSo14DA0nhFhuEiqQU3n0XWL6c1BZ0dTU63NnZGSqVChkZGbJcXmqwiRqxHUXEIHZla7h1tmWT8sVGsUo1T/G9Fx8cyMGrU0nFm6btHkLzYXM5xxlK4LYXs6kcXSPEnEPsdeTuYlFVVYULFy7wiuHt27cBAK6uroiOjgbDMDqNp/UtBIbQXxjtOluk47/v4Cv+Fm2pnGK1z/Kd3ZlYteeC4LhtJ69iYkKY8Tk99xwQEkLSP2wQKpJS6NcPmD2b+CbHjBF1CMMwsoikqWYXQN50ADH+vPgQL4MdCQDlk/LVSMmBFDJPSTWnPrf4TUzorUKFWwuM+Yib8mKv6Rnq90E/TcCUup58nSf0dx1CfS+NnUvKfG7evMkrhDk5OairI1Ybb29vxMbGon379hg7dqxGDMPDw9FAQrS7EOqFEd93/NQNbnsywHBKh6VIVPkZFElAhI/y5k3gvfeAxYvlnp5sUJGUQrt2QO/eJJdHgkj++uuvZl/aVF+knF8esUUMjAmk3OZfIaQsLIRyIPVvwNN7hWFMjBsyMjLw48kiANw2au07xoFhiDnVUdIzDC02DEU1siyLa9eu6QhQel4JLqvG6ozbdvIqWADP9fRFRkYG9p7OxVc3dN9b7evU1dUhLy8PO4+ex7r0OsFxAHD//n1cunRJZw7q6OLiYhIQo99DU+03ZBgGPj4+cLJAxKWU77ixlA5LIKYQgdpHKbhw+fRTUtFsyhQFZ2oeVCSl8tRTwP/9H3DuHIl4NYJKpUJxcTFu3ryJFi24/imxmLL7kDsgRmxUqCFS4oKwYqyMZawMIHa+QpV0+ET2wz8vYfE0Yk5tHj8ETQc8zTlO25zqCH5GMYuNVb9lYn6CJ2dHlpmZibKyMgCAi4sLoqKi4NeVv7vD9yevYu3ccaguzIJnhwHwGjKbM+a5JW/i5t87kZWVhXv37sGjTT/4jJjHGffWus9QnfUnMjIykJ2djerqagCAh4eHRvwGDRqk+T9fD00lYVkWV65c0XmvjhS7AOEDOWP7RvvoRLdKTelQkgVDYkVFvfIupOrqgLVrgbFjAV/5XEJyQ0VSKikpQEQEcPq0KJFUR7hmZmaiR48eJl82LsRbdHUNQN6AGLGdMYxhi1GsgO4uUtu0KrSyf+nN1ZjSrw2u1TZGiohqN/biZxRCzA5nX/ZNbHxpEhE4T0/ExsYiNjYWycnJGiGKiIiAm5ubYJUgAJj/2tuY2IfB0ZsN8ML3ZznPl5ZVoHv37pg8eTIYhsFF1g9vHeA2OT/w10EwrqVITEzEjBkzdAJnLLErVFNZWcnr28zMzNT4Nt3c3BAdHQ3fLsPA94l9uGNLzOkfY7MLLTFRrwDJC9WZ+59/Ajk5pIiADUNFUipubkBWFmnILILo6Gg4OTkhIyPDLJEEgN7RvkZFUu6EfFODhfSxxShWQHdVrn9cEEoBeHGOiVGRm21LOI45VRt1g2b1Df23nDtAE+O7/0X/ex9TH2oHPz8/g0JkaMGX3L8nokK8cbq8gOdI4MWFC5DS6UFXnq0nCgBwRfLdd1bojFMSlmVRXFzMMeVmZGQgNzdX49ts0aIFGIZBx44dMW7cOI1wh4WFoUGDBgZLDNr6QmvBkFi4N3A26KNctecCqu7XPTC79u4NnDgBdOxomUmaCBVJU3BxASoqgLNnge7dDQ5t1KgRwsLCZAneMWZylTs3SmxnDENYurWUWD+k9mJCKPr1Ko9AAo5jThWT19eoUSOE90sF2hsXySG94uHvL+71q4N0tIVSe4Eh9FnXf1zsODm4f/8+cnNzeQN9bt26BeBB4XmGYXR20SqVCj4+PgbPb+8lBsUE8mjMri3cSJelOMu4XsyBiqSpLFpEkl8vXyZ/bAPIFeHK9yVKiQtCryhf2W/Qcu0gLd17UWy7LvViwpTXaYvmVKEIXJZlUVhYyHtjz8/P14wLDAwEwzDo1asXnnjiCc3NvVWrVjhVUGa0rKApN/N3UuMwMSGMd95iBUMJYSkvL+eUDVT7NmtqSA3VJk2aaN6joUOH6vg23d3dTb62PS+6xHYUyS2+g7h500kd7I0bLTQ703FiWdZYSpvDUV5eDk9PT5SVlYnOZ+Jw6RIQFQWsWGE0vyctLQ0//fQTsrKyTLuWHnLnhOmfe1/mdaMrQjFYMkgHgEFfl5qnEyMR6dtEI3TGxuuns8zsG4H5g80o4qwA+kIf1eAWgi7v1tzcKyoqAAANGjTQ5PVp/6hUKnh6ekq6xsy+ERjYWvmbufrzCBjOA5T6nairq0NBQQHv4qGw8IH5tlWrVpz3i2EYBAUFWdS3aU8YzZ8c1gpxfeJI0M6TT5p8HVnu4yKgImnOmzthArB/P3DhAvFVCvDhhx/iqaeewp07d8xaZSqNXLtHwPICCQBTNhw1GKwT4t0IeSX3NL+LyefcNpP4kW11ZS+0MGhYdBo9nLJ1buzh4eFwFVEEw9C1LCGK2tcwJwcSAO7du4fs7GzewJm7d0lhcHd3d8TExOikfTAMg5iYGDRt2lT21+joGFqszuwbgfnf/g/YsYP06jUjothSIknNreawYAGJzPr6a4M90BiGQW1tLS5evIjWIiJirYE5xQr0sWQUKyA++lZbIAHj+ZzWDrUXI0oXrpXzPl4Z0B7Pzpwh67yVNivrC+LQ1i2w49xNnTF8qQQsy+L69eu8gTOXLl2Ceh/g6+tLisl37ozHHntMI4ahoaGydump7/CZXe9dOIoflz2Nru7VwMgvgNdfN0sgLQkVSXNo0wZ4+WWjRXm1C53bqkjKkQMJWDaKFZB396vGUi27DKH/uiZ3a4khgVWcHdHl207we+wt3nPkFt+xuZ2vEHyLNH2BVLPl1z/w683zOu9DaWkpABI4ExkZCYZh8Mgjj+iYlM3JU6ZIQ9u3WlaQjSnLlqDJ4lQg5woQFgbMmGHtKYqGiqS5LFlidIivry+8vb1lq+EqN2JzClPjW2Hzcf7QfEtHsQLyRN/qY8mWXULwCcaGI1ew9DNSxCAkJAQMw2DgwIGksXe1Mw4VcQvfW7L8nbmmWCnVZla+uxrOl45oBHDEiBGa/0dGRtq0S6M+obY8XG9FXFEZGRlonZICZGQAzsL1i20NKpJy8PffwPr1wPvv8/7xnZycZItwlRspnTEGtg4QFElLC6ScO0hLdE8whL7ACAnGsvc/wfSBHeHhoSt+MwHM3ZwumE6hNKb4Devq6pCfn6/ZCe6+eBvw6CjqeqtWvoMp/drQwBkbR/25DvPxgI+qM47+ehLhER0Q11GetoGWgoqkHFRVAevWAX36kJJ1PDAMg3/++cfCEzOMGD+k2vTYLqgpdhw5xzvGUrVY1cjpPwUs1z2BD32B6dKkFFU38oBG7Tljg1oFcwRSjaF0CrmpqqrSBMMcOJuH7ZW6O29tv+Hdu3eRlZXFSanIzMzEvXvER+zu7k5yMUUmlXeKsmzVHIp09D/XHsmvYhOATZszMKOwWnJBfGtCRVIOevYERowAXnoJGD2aN9KVYRh89913YFnWZr7gxkxcQbiFP9e9gI//zRFzi+nFWydTzlZcYpDLfwpYL1lbqIDBsdtecM07BvBYfA212ALkD6zRriKj/aNdRcav23A06sed7FPzX0XhoR9w+fJlzWN+fn5gGAZdu3bVaS0VEhKC01fKeSMi9Svz2FNyfX3FmBvEUEF8W4SKpFy8/jrQoQPw8cekCLoeDMOgoqIChYWFCArido6wBsZ8Vvk7P4SHb0MkJSXhqaeegltgDF4/Vi35PHIipSarEMtT2sHVxdlq5lVjpuKU8Y/zmrWVqiKj3yFD/XPzJgmc0e6QMWrUKJ00id9z7/IWt27g5q5Tek2lUsHbW/i9FioKMH9wrMV2yBTzEesGsaegMiqSctGuHcmbXL2aRG7p+Sa1I1xtRSTjQrzRT+WLvTyi0yfSG5+f/IPz+M1G3KRya/m+TMHS0bf6iDEVB3g2lFxFxljgTEVFhWAVGXWHDO0qMkOGDNHkDRrqkOGax++jnjt7luTaqULVZmyhohHFOFLcIPbUU5WKpJy8+SYxtfIE74SHh6NRq1hsOZ6PG03zrLqT0WZWUjSvSM4dyO8zsFbZLHP9kNZI6+ATLjFRnOp5in2f9RcP3f2d0NPloo4YXr36wGSpriLTr18/zJw506wqMnLXTqWCaL+IdYPYm8lc0Yo7JSUlmDVrFrZv3w4AGDlyJFavXg0vLy/BYyZPnozPPvtM57Fu3brh8OHDmt+rqqrw3HPPYePGjbh37x4eeughrFmzBq1aiVu5Kl6p4eZNUgRd63UK7YJM6eouN3wlx2yt9JqxajqGsMbr0X9P49yL0Tz/AI6XuKFUxd9PEZA+V6HqJnfP7oV/7i5OOTUlqsjYw+eHohxiS1nKvVB1iIo748ePR0FBAX755RcAwPTp0zFhwgT8+OOPBo8bPHgwPv30U83vbnqBMHPmzMGPP/6ITZs2oUWLFpg3bx6GDx+O48ePW79yRk0NidIbOxZ4+20AhndBtuDEtvWiyul5JSYJpKV3j+qdY01tHefvnV7lA+/Lt+AX2RalPMfy5ZmKyT0U2pk2btMPn7/3okVeu61/fijKIdYFkqTytXr+sakoJpLnz5/HL7/8gsOHD6Nbt24AgI8++ggJCQnIzMyESiX8hrm7uyMgIID3ubKyMqxfvx5ffPEF+vfvDwD48ssvERwcjN9++w2DBg2S/8VIwdUVmDaNBPLMnAlERRk1sdmCE9uWzVyv/cyfemIISxcFEHOzmDh/GRJVfrw7P32B5Ms9THsoktPA98zVCqDLE7zXs+TnypY/PxRlkOIC0W5sbm8oVvbg0KFD8PT01AgkAHTv3h2enp44eNBw54V9+/bBz88PMTExmDZtGq5fv6557vjx46ipqcHAgQM1jwUFBaFt27aC562qqkJ5ebnOj6I89xwQEADMng2wrFH/jD05sS1Jel4J3tmdabTGqjbjuwZj28weipv70vNKsPVEAdLzSiTdLNRRnNro+2j4zrfuQA68IjuiTZs2GD16NN566y1cuHABcSHeiHEt4b0W/VxRlMRRfZD6KLaTLCoqgp+fH+dxPz8/FBUVCR43ZMgQjBkzBqGhocjNzcXLL7+MpKQkHD9+HO7u7igqKoKbmxsnnNzf31/wvEuXLsXixYvNe0FSaNwYWLkSSEkBfvwRcSNHCvZZs/cPkFKYGslqico/+nNLUonLE01Uke+DvnkSALaeKDBacWfqnIUY0yUUDMPA19dXJ8jGmhV3KPUHbZeCGBeIpZsdKIFkkXz11VeNCs6xY8cAgDdSzlgyfWpqqub/bdu2RefOnREaGoqff/4ZKSkpgscZOu/ChQuRlpam+b28vBzBwcEGX4PZjBoFzJ8PhIYC0L0x/vHXQXz0wTr88u3n6BUrLUy+PmBqTVZLCAPfLk/MzUJ/bmrzpL7gjoxqCKc7xQCacM7Rq09f9BG44Viy4g6lfiJ14TqzS4DdCyRggkg+88wzGDdunMExYWFhOH36NK5du8Z57saNG/D39xd9vcDAQISGhiI7m2ztAwICUF1djZKSEp3d5PXr19GjRw/ec7i7u1u+6LGTE7BsGfk/ywJOTpobY0hdBFbO2gv324UAqEhqY8oO0lIBOul5Jfj2eL7o8Xw1YbWDcQBwXuv2C5Uo/eMHePV+lHM+S1fcsTdMKbIu5hhL9NG0daS4FGyhi46cSBZJHx8f+Pj4GB2XkJCAsrIyHD16FF27dgUAHDlyBGVlZYJixsfNmzeRn5+PwMBAAEB8fDxcXV2xe/dujB07FgBQWFiIf/75B2+++abUl6M8Fy4A48cDGzcCkaSwr0qlgltgDDYdzkEO/G0mZ9LamJILmcRYJmrOFPHWv1Hon6OfgJn2hRdewJo/LnMer28+RiniZEqRdTHHGBtTHwRUyuIwCTcxt3VHoKXjvBeK+SRjY2MxePBgTJs2DR988AEAkgIyfPhwnchWhmGwdOlSJCcn4/bt23j11VcxevRoBAYG4tKlS3jhhRfg4+OD5ORkAICnpyemTp2KefPmoUWLFmjevDmee+45tGvXThPtalMEBgJFRcCcOcC/qS/v/1mAwEkrsOUqsEWrpJct5ExaEyntktQ820/ZqDmhGqv66FcuEhOMw1fEAQBCfZtJrrhjC8gpGFJETyjQiS+1St2g+efDZ7Hu8D2Dx5wwcl5TBdSehFXq4vDZz14HRkYDLVsqOCvLomie5FdffYVZs2ZpIlFHjhyJ9957T2dMZmYmysrKAAAuLi44c+YMPv/8c5SWliIwMBD9+vXD5s2bdRKg33nnHTRo0ABjx47VFBPYsGGD9XMk+fDwAFasAMaMAX76Cente9p0zqQ1kbpTUlo4pNwgZiVFY1ZStODNT8oCwNXF2e5yD03ZyQGkZVZeXp6mM0hGRgZOFpSisO1jOuPWHcjBgFg/eNWWckrrXbjfHO6J0znnPvjPBeSlX+WMLy0thUebfrzF+ld9shG1Fw8hIyMDOawvmg54mjNm/4nz+O23K1iX3ZgzR2MCai87U7GLQ21mpv+IuME9gYQEBWdmeRStuGOrWKpSgwaWBQYPBs6fx9aNvyPtpyzBobOTouw26VYO9KM0+VDa5yG2gogada9Nvpsby7IoKirCh7+dwafnakSdb9vMHjYvigBQWVmJCxcuYNfxTKzO4NZ21X4d6pZZ+oKVlZWlaZnVsGFDxMTEwKP7WFxt3pFzvoqDm3DrwJcAgMaNG2uqCDlF9sCfNWGc8cU/r8SdM7+hWbNmnMpDl12CsPJQMeeYe/s+QpTzDTAMg7qw7th7l1tnufjnlUBdLa/Idqw8jZu555Afy43bWJbcFgu2cdvlqd8nUwRUCVGVunucnRSFxK/eQ9z2r0hDZZ6sBiWw1H2ciqQlRBIALl8G+vdH+nufIXkff16bmvpsdt16ogBp354SfF7pkmdSbhBqsd51tkjnmA5u1+F1aZ9GCMrLywV3LkkqX53oWEuXdBNzkzXWMkvotXWq/gd3z+5FRkaGTsssf39/jmipW2Y5Ozvjnd2ZvAuUhCa3MKVrABiGQcuWLeH8b41koc/MtLZumJLUFgEBAZzId6Fj3h7TAaP/LcwuNOapOA/4+PljyS7u58Qt/Ru0CI5CoU8nznNVF47APaob5/FOAW7o2vgm1uVwywUKCWhyxyD4N2so+65UqMyhEDP7RmB+ZAOgTRvgk0+Axx4zfpBMOERZOooWoaFARgbiXFwwo87wjbg+m10NmVyVzLmSal5KUvlq8h71jzlV7YfmhRVoHxuL5ORk0gGmRRjm7LjCOc+zSdF41oCZVkn0b7yp7bzRu9ktgy2zIiIioFKpdFpmZdY0x39/zeWc//SZf9C2cUNJLbMAEvDEJ5L/mTCc9/0R+swM7d0ZgYH81xI6JkLrcaExA7p3EDSfL3vjdVy+eYd3/p3aqHC2invMiaJq7PljO29E8/RV29AgazfH/MxnbZHiLxVCrFuAY83JyADCw0Uda29QkbQkLi7A9etY8MMquA9/Cqv+Eo4Ys4VSddaAr68goGyLKym7x/gQLxzPK8WezBvYk3kDnYI9ecdNeH4px2yecdtdMBjH0n9rvmCXzWdKsPKzeXCruKrTMkv9/6ioKN5Uqusn+NtlvblsqeR2WYBwb0mh90jqeLHHmHLecB+S8sMnkq9NGYrVe7J582oXLFiAdTz3gxtu/mjZsp3g9fRZsescBrVise5Amc7jfAvvmzdvchZE567fA5LmGryGTsnHb74hOeEREQaPsWeoSFqae/eAr79GolMzrPLqKzisvoX7a6MOWtmXScoRKul/lFK4ICUuCFvTdVfwJ/LLBEZzsaVgHKEdQ8orH+HrJ3tLapkld7ssQPp7Zcp7K+YYQz0uDQmo0HPPJkXziuSg9sHIKq7kfe6R0aNF+8f/yCnFj599xbsrnfPxLsQU/q4RxOJi4pNVN9VWqVQY1asDMj3u4p87jTnHc3aP27YBqanA1q3Av9kHjgj1SVrKJ6nNhx8CTz6JZe//jHX53Le/c6gXXhzaul7uJC2J2B3kwFg/zEwkheoN+Uu1sbXgmzt37iAzM1MTQfp3bjHOthzKO9aUudfXdlmG/H5Czwm9V0L+wG0ze+DzQ5eMBrSpSW3TFJvPVvA+53nkQ7QLaqrjC+Zrqs1X5lDn73nzJvFDdusGfP89KZ5iYWjgjoJYXSRZFhg4EMjMRPqug8i9B3y69wzOFNfpDKvPATxKIjV6FQD6+FTCo+QCdta2NTpWaYEQuvmyLIvCwkLeIJv8/AemvMDAQDAMg4pOj+GGK7f61YoxHUwyk9pK+oI9IFVAAa5w8Vk2ACKqQmZdKX9bg3/P8eOBX34Bzp4lueBWgAbuODJOTsDHHwNxcYjLPQ20TeAIJFC/A3iUwtTC6QeKG6Lm5+1o1qMR7nlHcp7nK0GnBPrz7+B6HZ6X9mrEsKKC7CAaNGiA6OhoMAyDxx57TCdwxtOT+FGFdi6mmknre1k8KQi9V4ZMwHz1ef2aNpRk1pXytxX8ex49SiqIffml1QTSklCRtBahocDFi4C3N3IFAh8AaMpB0ZuPeZiSHK3Pc29/ItgPUm6/qVBOHCeStsYPPtfuon3btnjkkUc0YhgeHg5XV1eD1zAlMIWiPIYWG/rPmeozNYuuXYG9e4G+wjEVjgQ1t1rD3KrN/ftIX7wCyffbGByW3DEI76TGWWhSjoWpu0d91IUelPa/CYXv/2/Xeby3j/s6zC1AQc2kjousf9vqauDXX4Hhw+WZnJlQn6SC2JRI3r4NxMdjWcdRWBfRx+BQKpTSkZocbQjtgBalhEVovu7738X1Bn7w7Mmt5FLfqzRRLMRzzwHvvgtkZtpETiT1SdYXmjQBNm/Ggu7d4f5UIFa5Cxfs3nbyKrpHtHCIHm2WQGprK0MI9YM0F32xFUrNaNO9H8aG+OILbvc5TVEDCkUxfv4ZePtt8mMDAmlJqEjaAh07AitWIPG1VVg1aYXBofO3nkFu8R0a9WoEuUys47sGY0x8sCJmSP05TuneCu7V5bxjU/9vPFK7hMCDx9RLTaQURSkoACZNImbWuYYLDTgiVCRthZkzEbdnD2bcy8a6RobbP9GoV8OY0pdSCKUEkm+OnxwuQOkf/Ing6obLtlSQgFJPWLoUaNgQ+PRTq+RDWhsqkraCkxPw5ZdY4O6O8L/zMV+rzyQfNOqVn/S8Esz55qQs55JjlybkuxQyq06bNg3fZtzlPK4duk9TLSgWZcUKYPZswMfH2jOxClQkbYl/q16kXk1Hbk0+1rkK2/6/PpqPr4/m02AeLeQwsS5PaQdXF2dFGgc/1skP/X3vICMjA79klQHu3MIEnVtHooXfHWpSpVifn34izZPj4oCYGGvPxmpQkbRFSkux4O1nMeh/H+DdFh0FO9gDD7oB1HehlMPEKmcRdb75fHniOt76LA211y8ivF8q0JkrkvbYcJnigJw6ReqyjhkDbNhg7dlYFSqStsikScDp04ib/xQ+3bUL77SMMlhCjUa9im/xo4+5O0ep5tS3P/oS0wd0wNmiOwar3VCTKsVq3LgBPPwwoFIBa9ZYezZWh4qkrbJ8OamLOGYMEn8+gFVGhs/fegbf/J2Pl4bVz8LoNbXcsn7GMHfnqG9OHdvWS9OP8ffce4BnPOcYXz9/uLm5IS7EjVa7odge1dXAI4+QbkXffw805nYDqW9QkbRVGjQANm0CJk9GnF8j3h6L+hzPK0Xy2oNIUvni2aToenXDVUd/ioHT8scE+Myp3/xTilWfPQe3iqsISxzLK5La86RmVYrNkZNDymVu3QqE1F/LlDZUJG0ZLy+ymgOwwP82BrX2x7t7Lxj0UQLQNASe0Sei3tyEhQo39432wf7sYs3vOg1jDWCsoo6QOXXNF99hSlJbnMwvFVU8nJpVKTYFwwAXLmiCCClUJO2D6mqgRw/EDRuGT5cuxeZjeUZTRACST8lXA9QRESrorO7TJ2WhwFc79ZnewZpejBkZGfjjyn3Avxfn2CbNPOHk5ESLh1Psiz17gHfeAb7+Gmja1NqzsSmoSNoDbm7A5MnAvHlAq1ZIffpp5BbfkRzNue5ADsJ9PBw2wMdQRwSx4sRnRl13IAeLpo5CdWEWANKPsWWvZIDbipGaUyn2x8mTQHIy0L070KiRtWdjc9AC59YucC4WliUiuXIlsHkzMGYM0vNK8NrP53A8r1TSqeqjz1II/V3m1hMFSPv2FGdcSlAFxnWL0PRjNNRFnr6vFLshNxfo0YPkQ+7da1e7SNoFREHsUiQBoK4OmDCBONVzcjQNT8WaX/VJ7hiE3tG+9XaXo29WHRruCrb8GnbebM4ZuzylHWcHrnTLLApFUSoqgPh4sgD/6y/Az74K5VORVBC7FUmA+Cf//BNIStJ52NxqM47sr+RDaCdY/tdGNOv5f5zHV4zpgJROrXjPQ82pFLuEZUnrqxEjgIgIa89GMpa6j4uPm6fYBm5uRCBZFvjf/8iOEsT/tW1mD/RT+Zp02nUHcrD5WB62nihAel6JnDO2Oul5JZzXJRSd+sKLL/A+LhQ9GxfijZROrahAUuyH6mpg925SL3r2bLsUSEtCd5L2tpNUU14OdO5MTLB//QX4P4giUe9u/si+oSlbJxVHMcXq77Bj3EoRcmUv/i5xQ2nMMM745SntOEFR1IxKcRjq6oDHHgO2bSOpHi1bWntGJkPNrQriECIJPHC6BwaSEG4vL84QU/2V2iR3DMLEhDC7MysKmVTdrp5EmPs9ZLVI4DynNqtSMyrF4WBZsnN87z3gm29IZR07xlL3cZoCYs+EhwO7dgH9+gGDBgG//gp4euoMSe0SYlK6iDbbTl7V2ZHaUpECQ2KWc+M27zHVQR0xNaUd7+KB1k6lOCQsCzz3HLB6NbBund0LpCWhO0l73kmqOXECePNN0hRVIM8pPa8E7+7JNlqtxxQsZZrVF0R9U2of3yqEl53SJPznlLNoMW4p77lWjOmArGsV1KxKqR/cvg306gU88QTwzDPWno0sUHOrgjicSGpz/jzQqpVgvpO20Ow6W2R2eyl91FGycpsrl+48jw+05prcMYjX31r90+tQ+biDYRgwDIODdVE4cp17PnU+IzWrUhwalgXKyogrpqoKcHe39oxkg4qkgjisSNbUkNqLgYHAjh2AiNcmR5CPPvoCJiW9pLq6GhcuXNApAXfmagVudZ4q6vjZSVGc2qxzN6frzIfuGCn1ApYFFi4EvvuO9If04I/QtleoSCqIw4okABw9CgwcCMTGAr/8wvFRGkJ7V/X5oUuyiSbArURz69YtjQhq/+Tk5KC2thYA4OXlhdjYWLjFJ+NSk9airsMnkgDNZ6TUM1gWeP554O23gRUrgLlzrT0j2aEiqSAOLZIAcPw4MGAAEBVFAnu8TROF9LwS7Mu8brDhs1hCXW9DVfS7Rgxv3CC+UScnJ4SFhWnMo9o/vr6+cHJywju7M0XPgZaFo9R7WJaI4qpVpFjAs89ae0aKQKNbKaYTHw/8/jspWnzpkskiqY7wrLpfZ7bv8nJNE5RcuIa2rVqhf//+GiGMjo5GIyNFlRNVfrwiqW/WpV02KBQAp08Da9aQn5kzrT0bu0fRnWRJSQlmzZqF7du3AwBGjhyJ1atXw4snn08zIScn3sfffPNNPP/88wCAxMRE7N+/X+f51NRUbNq0SdS8HH4nqaa6mlToqaoCrlwxq7KGlICf+BAv3qLrQqXdxCBUJ5WaUSmUf7l3jwTmODsDly8DoaHWnpGiOIS5dciQISgoKMCHH34IAJg+fTrCwsLw448/Ch5TVFSk8/vOnTsxdepUXLhwARH/3uQTExMRExODJUuWaMY1atQIniL9b/VGJNUsWAB8/DHw889At26ynFIo4Gdm3wgMbB2gSIcMKogUigA3bwLDh5Oc6TfesPZsLILdi+T58+fRunVrHD58GN3+vTEfPnwYCQkJyMjIgEplvDs8AIwaNQoVFRX4/fffNY8lJiaiY8eOWLlypUlzq3cieesWMHIkkJ4ObNkCDB4s6+n5xIt2yKBQLER+PikmcuMGWQh37WrtGVkEu/dJHjp0CJ6enhqBBIDu3bvD09MTBw8eFCWS165dw88//4zPPvuM89xXX32FL7/8Ev7+/hgyZAgWLVqEpgK5gVVVVaiqqtL8Xl5ebsIrsmOaNyfVeMaNIxX/P/mEtNySCb7qNLThMIViAc6eJQLZoAGp4RwTY+0ZORyKiWRRURH8ePqT+fn5cUyqQnz22Wdo2rQpUlJSdB5/9NFHER4ejoCAAPzzzz9YuHAhTp06hd27d/OeZ+nSpVi8eLH0F+FING5M+lA++STpRC6jSApBS7tRKAqzahXQogWwcycQFGTt2TgkkkXy1VdfNSo4x44dA8AfhMOyrGBwjj6ffPIJHn30UTRs2FDn8WnTpmn+37ZtW0RHR6Nz5844ceIEOnXqxDnPwoULkZaWpvm9vLwcwcHBoubgUDRoQHyTagv7gQNA9+4kuIdCodgPV68SUVy9GqislJQPTZGGZJF85plnMG7cOINjwsLCcPr0aVy7do3z3I0bN+Cv1dZJiD/++AOZmZnYvHmz0bGdOnWCq6srsrOzeUXS3d0d7g5UjsksnJzIT3ExMHQoSRf57jvA17Q+lBQKxYLU1gIvvEDSO86eBUJCHKrUnC0iWSR9fHzg4+NjdFxCQgLKyspw9OhRdP3XkXzkyBGUlZWhR48eRo9fv3494uPj0aFDB6Njz549i5qaGgQGBhp/ARSCjw8pNJCSAnTpAvzwAyDivaZQKFairAwYP55U0nrrLaA+WsOsgLNSJ46NjcXgwYMxbdo0HD58GIcPH8a0adMwfPhwnaAdhmGwbds2nWPLy8vx7bff4oknnuCc9+LFi1iyZAn+/vtvXLp0CTt27MCYMWMQFxeHnj17KvVyHJOePYFjx0ixgR49SAECCoVie2RnE9fIX3+RusxpacQiRFEcxUQSIBGo7dq1w8CBAzFw4EC0b98eX3zxhc6YzMxMlJWV6Ty2adMmsCyL//u//+Oc083NDb///jsGDRoElUqFWbNmYeDAgfjtt9/g4uKi5MtxTEJCgD//BKZMAdq1s/ZsKBQKH87OZDF79CiJZqVYDFq7tT7kSUqhqAhYsgRYvlyw3RaFQrEALEt6xD7yCOnow7J096iFpe7jiu4kKXbI+fPAF18AnTuTVBEKhWJ5SkqA0aOBqVOB778nj1GBtApUJCm69OtHuog0bkx8IO+//yBlhEKhKM+hQ0DHjsDevcC2bcDEidaeUb2GiiSFS0wM+aJOm0YCBLKzrT0jCqV+kJ8PJCYCLVsSS86oUVaeEIWKJIWfhg1JonJGBhHN6mpqfqVQlOLWLaCujqR1bN8O7N/v8F087AUqkhTDhIeTf9etI/mU//sf+TJTKBR52LcPaNuWNEgGSPSqq6tVp0R5ABVJijhmziSm1+efJ1/iy5etPSMKxb6prATmzwceeghgGGDsWGvPiMIDFUmKOFxdSVrIrl3EBNuuHRVKCsVUrl0D4uKAlSuB118Hdu+mBcptFMW6gFAclIEDgX/+ATZteuAzuXGD1n6lUMRw/z5pNODnBwwZQlI82rSx9qwoBqA7SYp0PD1Jyy2AtN+KjAQ+/JCmilAohjh8mFhgdu8mOY8rVlCBtAOoSFLM46GHgNRUIpoDB1ITLIWiT2Ul8J//kFrJTZuS9A6K3UBFkmIenp7ARx+RzgQZGSRK799+ohRKvScjg3TXWbWK+B4PHgRat7b2rCgSoD5JijwMGkR8lStXPmi5lZv7IIWEQqlP3L1LqlYFBwOdOpHKOVQc7RK6k6TIh6cnsGgR4OYGXLhAihD83/8BV65Ye2YUimWoqiI7xpAQ4NIlwMMD2LiRCqQdQ0WSogyRkcD69cCePSQH7H//A2pqrD0rCkU5du4k7oZXXwUefxxo0cLaM6LIABVJijI4OZHCzJmZpFfl/PnACy9Ye1YUijIsXQoMHUrMq6dOAW+9RVvNOQi0nyTtJ2kZTp8GfHxIwvTOnYC/P/HVUCj2yrVrpCB5587EvXD8OKmaQ1taWQTaT5LiWLRv/6CiyIoVQHw8MG4c7TBCsT/Ky4nvPTISmDGD5AdHRZFUKCqQDgcVSYrl2bmT+Cv/+guIjSU3mtu3rT0rCsUw1dUkejsyEnjzTeCpp4Bff6XC6OBQkaRYngYNiJ8yK4vUg83IABo1Is/du2fduVEo+mh7pNauJT0es7OJUDZvbrVpUSwDFUmK9WjUCJg3j3Rgd3EBTpwgJtkXXgCuX7f27Cj1nepq4JNPSMRqZiZJbTp1ihTPaNXK2rOjWAgqkhTrozZXtWwJPPEEafYcGgo88wzJNaNQLMmdOw/MqlOnAirVg91kw4ZWnRrF8lCRpNgO/v4kdP7yZbKb3LSJlPMCaPF0iuV44QXSN/Whh4Bz50gRf4ax9qwoVoKmgNAUENvlzh1i8vL2JsUI/vwTWLAA6N7d2jOjOBIFBcA775COHFOmkApR9+8/aAVHsUloCgiF4uFBBBIgN6yMDCAhgeSlffIJqY9JoZgCywK//w6MHg2EhZFoa3WEdcuWVCApGqhIUuyDMWOAs2eBn34iZtknniApJADZbVIoYlAbzn79FejfnwTkvPsukJcHzJpl3blRbBJqbqXmVvskN5es9p2die+oQQOStzZsGPk/haLNyZPAmjVAaSnwzTdAbS1w6BDp8UjzHO0Sam6lUAwRHk4EkmWBSZOAsjKSvxYRAbz4IlBSYu0ZUqzN7dtEGLt3B+LigB07SBs3liUpR716UYGkGIWKJMW+URdSP3wY+PtvYPBg4PPPSU4bQG6MhYXWnSPFcty796Dp9/37pLB+ixYkQvXSJbKAosJIkQA1t1Jzq+NRV0d2mdXVQEAA2WU+9BDw2GNAcjLtzuBo1NaSghRffQVs2UJE8Pp1wN2d7CabNLH2DCkKQM2tFIqpOP/7sXZzAy5eBD74gAjmpElAYCARTYA0yKXYJ+q1/Z07pMHxgAEkkGvePNKNw92dPE8FkmImNMKB4th4e5NI2CeeIBGMf/wBeHqS3WZUFKmqMnIkMGIEEB1t7dlSDHHrFjGfb98OnD9P2q95eACzZwOJiUCXLtSUSpEdam6l5tb6SXU1sGEDueH+9hvZVTIMKVjQogXZqdAbrm1w6xaQkkL+NrW1RAxHjiRVcdQ7Rkq9w1L3cbqTpNRP3NyA6dPJz507wO7dxFyn7urQqxfZhSYmkp+OHWlqidKwLEnt2beP/Ny6RfJivb1Jus/48cDw4Q/6klIoFoB+6ykUDw+SPjJqFPmdZYn5dc8e0lz37l2gWTPgyBGy27x+new2XVysOWvH4M4d8v5nZ5Pk/rw8soOPiyPBVuod/WefWXumlHoKFUkKRR8nJ1IjdsECYpY9dgzYv5/4LwFg3DgSHBIf/+AnKQnw87PuvG2d0lKSwH/8+IOf2Fhg1y4SfPPII0DfvkCfPoCXl7VnS6EAoD5J6pOkSOfQIZJy8Pff5Eafl0d8myNGANu2AQcPEuHs1IkUN6hvZlqWJbmpp049WEwMGULem5QUIoCdOpHH+/Ujz1EoEnGIFJDXX38dPXr0QOPGjeElcmXIsixeffVVBAUFoVGjRkhMTMTZs2d1xlRVVeHZZ5+Fj48PPDw8MHLkSBQUFCjwCigUHhISSDulrVtJW6/r14mpECCC+c03wP/9H+lD2KgRMdkCwNWrpGHv/v1EROx9fVpeTkRw48YHTbJfe41ED7dsCQwdSrq3nDlDnuvfH7hwgfgaf/8dePNNKpAUm0fRneSiRYvg5eWFgoICrF+/HqWlpUaPWb58OV5//XVs2LABMTExeO2113DgwAFkZmai6b9J4DNnzsSPP/6IDRs2oEWLFpg3bx5u3bqF48ePw0WEn4juJCmKc+MG2UllZQGtW5Pgn19+IbVl6+rImKZNiZn2++/J78uXk11WYCAJTgkMJMUQLO37ZFkiZIWFRNgLC0luqboA+JgxJNK0qOjBMTt2EMH79VfyumNigLZtyU6aRglTFMBS93GLmFs3bNiAOXPmGBVJlmURFBSEOXPmYP78+QDIrtHf3x/Lly/Hk08+ibKyMvj6+uKLL75AamoqAODq1asIDg7Gjh07MGjQIM55q6qqUKWVOF5WVoaQkBDk5+dTkaRYlqoqUh7twgXy4+RExKe2lvQzLCrS3WEeO0YE55VXSCBRkyYPfkaPJibe3FwitA0akEIKLi4kIpRliR+wro781NaS4KTQUBI1+v33QEUFqUpz+zYR7EWLSA6ifs9OHx8SXOPsTHaA9++TPFN1rqmnp8XeQgoFICIZHByM0tJSeCr5+WMtwKeffsp6enoaHXfx4kUWAHvixAmdx0eOHMlOnDiRZVmW/f3331kA7K1bt3TGtG/fnn3llVd4z7to0SIWAP2hP/SH/tAfB/u5ePGiacIkEpuKKCj613zj7++v87i/vz8uX76sGePm5gZvdTNerTFF2uYfLRYuXIi0tDTN76WlpQgNDUVeXp6yKxAFUK+e7G0XTOdtWei8LY+9zt1e5622CDZX5zYrhGSRfPXVV7F48WKDY44dO4bOnTubPCknPR8Gy7Kcx/QxNMbd3R3uPJU5PD097epDoU2zZs3scu503paFztvy2Ovc7XXezs7KliCXLJLPPPMMxo0bZ3BMWFiYSZMJCAgAQHaLgYGBmsevX7+u2V0GBASguroaJSUlOrvJ69evo0ePHiZdl0KhUCgUPiSLpI+PD3x8fJSYC8LDwxEQEIDdu3cjLi4OAFBdXY39+/dj+fLlAID4+Hi4urpi9+7dGDt2LACgsLAQ//zzD958801F5kWhUCiU+omiPsm8vDzcunULeXl5qK2txcmTJwEAUVFRaPJvCxuGYbB06VIkJyfDyckJc+bMwRtvvIHo6GhER0fjjTfeQOPGjTF+/HgAxEQ6depUzJs3Dy1atEDz5s3x3HPPoV27duivzlUzgru7OxYtWsRrgrV17HXudN6Whc7b8tjr3Om8jaBkVNCkSZN4o5H27t2rGQOA/fTTTzW/19XVsYsWLWIDAgJYd3d3tk+fPuyZM2d0znvv3j32mWeeYZs3b842atSIHT58OJuXl6fkS6FQKBRKPaRelqWjUCgUCkUMyoYFUSgUCoVix1CRpFAoFApFACqSFAqFQqEIQEWSQqFQKBQBHFYk7bVNV0lJCSZMmABPT094enpiwoQJRgvDOzk58f689dZbmjGJiYmc540VhVB63pMnT+bMqbteYW1be79ramowf/58tGvXDh4eHggKCsLEiRNx9epVnXFKvN9r1qxBeHg4GjZsiPj4ePzxxx8Gx+/fvx/x8fFo2LAhIiIisG7dOs6YLVu2oHXr1nB3d0fr1q2xbds2s+Zo7ry3bt2KAQMGwNfXF82aNUNCQgJ27dqlM2bDhg28n/fKykqrzXvfvn28c8rIyNAZZ2vvN9930MnJCW3atNGMscT7feDAAYwYMQJBQUFwcnLC9+rOOAaw2OfbytG1ivHKK6+wK1asYNPS0kQVV2dZll22bBnbtGlTdsuWLeyZM2fY1NRUNjAwkC0vL9eMmTFjBtuyZUt29+7d7IkTJ9h+/fqxHTp0YO/fvy/LvAcPHsy2bduWPXjwIHvw4EG2bdu27PDhww0eU1hYqPPzySefsE5OTjqFf/v27ctOmzZNZ1xpaaksczZ13pMmTWIHDx6sM6ebN2/qjLG197u0tJTt378/u3nzZjYjI4M9dOgQ261bNzY+Pl5nnNzv96ZNm1hXV1f2o48+Ys+dO8fOnj2b9fDwYC9fvsw7Picnh23cuDE7e/Zs9ty5c+xHH33Eurq6st99951mzMGDB1kXFxf2jTfeYM+fP8++8cYbbIMGDdjDhw+bPE9z5z179mx2+fLl7NGjR9msrCx24cKFrKurq07Tg08//ZRt1qwZ53MvJ1LnvXfvXhYAm5mZqTMn7c+pLb7fpaWlOvPNz89nmzf///bONaTJP4rjx8umVrIuKq7EBWKbqYHLdGI40pgKkVJk1pIhItmbMopYRKTvJnShwi6ColSWiEovVkKRRuS66TLFLhbrQqVlRK3Cudr5v4g9fx+3R3dzbnE+r3zOc/g9X7477jzO8+y3GI8cOcLkeMPva9eu4aFDh7CtrQ0BADs6OqbN92Z9/7NN0oqjO5BYLBaMjo5GjUbDxMbHx1EgEOC5c+cQ8W9B8Xg8vHLlCpPz/v17DAwMxM7OTre1Dg0NIQCwXkSdTocAgM+ePXN4nYKCAszOzmbF5HI57tmzx22N9nBVt0qlwoKCAs7z/uL3gwcPEABYb0Se9jstLQ0rKipYMYlEgmq12m7+gQMHUCKRsGI7d+5EmUzGHBcVFWFeXh4rJzc3F4uLiz2k2nnd9li5ciVWV1czx47+TruDs7qtTfLr16+ca/qD3x0dHRgQEICvX79mYt7wezKONElv1vc/+3GrsxgMBhgZGQGFQsHEQkJCQC6XQ09PDwAA9Pb2gtlsZuUsXboUkpKSmBx30Ol0IBAIID09nYnJZDIQCAQOrz86OgparRbKyspszl26dAkiIiIgMTER9u/fD0aj0W3N7uru7u6GqKgoWLFiBZSXl8Mn6w734B9+A/zdjSAgIMDmY31P+T0xMQG9vb0sHwAAFAoFp06dTmeTn5ubC48ePQKz2Txtjie8dVX3VCwWCxiNRpudHn78+AEikQhiYmJgw4YNoNfrPaLZXd0pKSkgFAohJycHurq6WOf8we/6+npYv349iEQiVnw2/XYFb9a3T22VNZfM1jZdzmqIioqyiUdFRTm8flNTE4SHh8OmTZtYcaVSyXw37uDgIBw8eBD6+/vhxo0bc6Y7Pz8ftmzZAiKRCAwGAxw+fBiys7Oht7cXQkJC/MLv8fFxUKvVsH37dtYOCp70e2xsDP78+WO3Nrl0joyM2M3//fs3jI2NgVAo5MzxhLeu6p7KsWPH4OfPn8z3NAP8/SrLxsZGSE5Ohu/fv8PJkychMzMT+vv7IT4+fk50C4VCqKurg9WrV4PJZIILFy5ATk4OdHd3Q1ZWFgBwvya+4vfHjx/h+vXr0NzczIrPtt+u4M369qsm6Y/bdAE4rtve9R3VYKWhoQGUSiWEhoay4uXl5czPSUlJEB8fD6mpqdDX1wdSqXROdG/dupWlKTU1FUQiEWi1Wpsm78y63vLbbDZDcXExWCwWOHPmDOucK37PhLO1aS9/atyVencWV69x+fJlqKqqgqtXr7JuZmQyGWvAKzMzE6RSKZw+fRpOnTo1J7rFYjGIxWLmOCMjA969ewdHjx5lmqSza7qKq9dobGyEhQsXQmFhISvuLb+dxVv17VdN0l+36XJU95MnT2B0dNTm3OfPn23uiOxx584deP78ObS0tMyYK5VKgcfjwfDwMOebtrd0WxEKhSASiWB4eBgAfNtvs9kMRUVFYDAY4NatWzPuw+eI31xERERAUFCQzR3w5NqcSnR0tN384OBgWLJkybQ5zrxmntZtpaWlBcrKyqC1tXXGjQsCAwNhzZo1TN24izu6JyOTyeDixYvMsS/7jYjQ0NAAJSUlwOfzp831tN+u4NX6duo/mH6Is4M7NTU1TMxkMtkd3GlpaWFyPnz44PFBkvv37zOxe/fuOTxIolKpbKYsuRgYGEAAwNu3b7us14q7uq2MjY1hSEgINjU1IaLv+j0xMYGFhYWYmJiInz59cuha7vqdlpaGu3btYsUSEhKmHdxJSEhgxSoqKmwGG/Lz81k5eXl5Hh8kcUY3ImJzczOGhobOOLxhxWKxYGpqKpaWlrojlYUruqeyefNmXLduHXPsq34j/j94NHUzCXvMht+TAQcHd7xV3/9sk3zz5g3q9Xqsrq7GBQsWoF6vR71ej0ajkckRi8XY3t7OHGs0GhQIBNje3o4DAwO4bds2u4+AxMTE4M2bN7Gvrw+zs7M9/kjCqlWrUKfToU6nw+TkZJtHEqbqRkT89u0bzps3D8+ePWuz5suXL7G6uhofPnyIBoMBtVotSiQSTElJmTPdRqMR9+3bhz09PWgwGLCrqwszMjJw2bJlPu232WzGjRs3YkxMDD5+/Jg1Em8ymRBxdvy2jvbX19fj0NAQVlZW4vz585kpRLVajSUlJUy+dUR+7969ODQ0hPX19TYj8nfv3sWgoCDUaDT49OlT1Gg0s/ZIgqO6m5ubMTg4GGtrazkfn6mqqsLOzk589eoV6vV6LC0txeDgYNbNjrd1nzhxAjs6OvDFixc4ODiIarUaAQDb2tqYHF/028qOHTswPT3d7pre8NtoNDLv0QCAx48fR71ez0yMz2V9/7NN0l+36fry5QsqlUoMDw/H8PBwVCqVNmPlU3UjIp4/fx7DwsLsPov39u1bzMrKwsWLFyOfz8e4uDjcvXu3zTOJ3tT969cvVCgUGBkZiTweD2NjY1GlUtl46Wt+GwwGu3U1ubZmy+/a2loUiUTI5/NRKpWy/ipVqVQol8tZ+d3d3ZiSkoJ8Ph+XL19u9waqtbUVxWIx8ng8lEgkrDd1T+GMbrlcbtdblUrF5FRWVmJsbCzy+XyMjIxEhUKBPT09c6q7pqYG4+LiMDQ0FBctWoRr165FrVZrs6av+Y349xObsLAwrKurs7ueN/y2/iXL9brPZX3TVlkEQRAEwQE9J0kQBEEQHFCTJAiCIAgOqEkSBEEQBAfUJAmCIAiCA2qSBEEQBMEBNUmCIAiC4ICaJEEQBEFwQE2SIAiCIDigJkkQBEEQHFCTJAiCIAgOqEkSBEEQBAf/AeuMZZI/9b/iAAAAAElFTkSuQmCC", + "image/png": 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", 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      " ] @@ -169,7 +169,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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      " ] @@ -255,7 +255,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 8, @@ -264,7 +264,7 @@ }, { "data": { - "image/png": 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", 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      " ] @@ -305,7 +305,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 14, "id": "551aa2fd", "metadata": {}, "outputs": [ @@ -315,15 +315,15 @@ "Text(0.5, 1.0, \"MDS of Matisse's Leaves via ECT distances\")" ] }, - "execution_count": 10, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ - "
      " + "
      " ] }, "metadata": {}, @@ -335,7 +335,7 @@ "col_df = pd.read_csv(\"doc_source/notebooks/Matisse/colors.csv\", header=None) \n", "\n", "scale_val = 6 # set scale value\n", - "plt.figure(figsize=(8,8)) # set figure dimensions\n", + "plt.figure(figsize=(5,5)) # set figure dimensions\n", "\n", "for i in range(len(file_names)): # for each leaf\n", " shape = np.loadtxt(data_dir+file_names[i]) # get the current shape\n", @@ -347,7 +347,8 @@ " plt.fill(trans_sh[:,0], trans_sh[:,1], c=col_df[0][i], lw=0) # plot shape\n", " plt.gca().set_aspect(\"equal\")\n", "\n", - "plt.title(\"MDS of Matisse's Leaves via ECT distances\")" + "plt.title(\"MDS of Matisse's Leaves via ECT distances\")\n", + "# plt.savefig(\"Matisse_MDS.png\", bbox_inches = 'tight', dpi=300) " ] }, { @@ -377,7 +378,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.9" + "version": "3.11.7" } }, "nbformat": 4, diff --git a/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt b/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt new file mode 100644 index 0000000..f5f05fc --- /dev/null +++ b/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt @@ -0,0 +1,185 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Tutorial for exact ECT computation \n", + "\n", + "*Warning: This is a work in progress. Proceed at your own risk.*\n", + "\n", + "The goal of this section is so show available tools for exact computation of the ECT. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from ect import ECT, EmbeddedGraph, EmbeddedCW,create_example_graph\n", + "\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.patches import Circle\n", + "import numpy as np\n", + "import networkx as nx" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use the `EmbeddedGraph` class to find the angle normal to any pair of vertices in the graph, whether or not there is a connecting edge. Setting `angle_labels_circle=True` in the plotting command will try to draw these on the circle. Note that this doesn't tend to do well for large inputs, but can be helpful for small examples. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
      " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "G = create_example_graph(centered=True)\n", + "G.rescale_to_unit_disk()\n", + "\n", + "fig, ax = plt.subplots()\n", + "G.plot(ax = ax, angle_labels_circle=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can extract the information directly for use in computation. " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ nan -0.78539816 -0.67474094 -0.46364761 -1.24904577 -0.78539816]\n", + " [ 2.35619449 nan -0.5880026 0. -2.35619449 -0.78539816]\n", + " [ 2.46685171 2.55359005 nan 2.03444394 2.89661399 2.67794504]\n", + " [ 2.67794504 3.14159265 -1.10714872 nan -2.8198421 -2.35619449]\n", + " [ 1.89254688 0.78539816 -0.24497866 0.32175055 nan 0. ]\n", + " [ 2.35619449 2.35619449 -0.46364761 0.78539816 3.14159265 nan]]\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
      " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# If return type is `matrix`, the function returns the matrix of angles and the labels of the angles in the order of the rows/columns in the matrix \n", + "M,Labels = G.get_all_angles(returntype='matrix')\n", + "print(M)\n", + "\n", + "plt.matshow(M)\n", + "plt.xticks(range(len(Labels)), Labels)\n", + "plt.yticks(range(len(Labels)), Labels)\n", + "plt.colorbar()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This can also be returned as a dictionary, with keys given by angles (note the negative angle is not repeated), and value a list of the pairs of vertices associated. Note that in the case of more than one pair of vertices having the same normal angle, it is given as a list of all pairs. " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{-0.7853981633974483: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " -0.6747409422235526: [('A', 'C')],\n", + " -0.4636476090008061: [('A', 'D')],\n", + " -1.2490457723982544: [('A', 'E')],\n", + " -0.5880026035475675: [('B', 'C')],\n", + " 0.0: [('B', 'D'), ('E', 'F')],\n", + " -2.356194490192345: [('B', 'E'), ('D', 'F')],\n", + " 2.0344439357957027: [('C', 'D')],\n", + " 2.896613990462929: [('C', 'E')],\n", + " 2.677945044588987: [('C', 'F')],\n", + " -2.819842099193151: [('D', 'E')]}" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "angles_dict = G.get_all_angles(returntype='dict')\n", + "angles_dict" + ] + } + ], + "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": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/_sources/tutorials.rst.txt b/docs/_sources/tutorials.rst.txt index 8e7df94..f7ffaab 100644 --- a/docs/_sources/tutorials.rst.txt +++ b/docs/_sources/tutorials.rst.txt @@ -8,4 +8,5 @@ Tutorials notebooks/Tutorial-ECT_for_embedded_graphs notebooks/Tutorial-ECT_for_CW_Complexes notebooks/Matisse/Matisse_ECT + notebooks/Tutorial-ExactECT diff --git a/docs/citing.html b/docs/citing.html index 079b6cf..611440a 100644 --- a/docs/citing.html +++ b/docs/citing.html @@ -82,6 +82,7 @@
    • 3.3.1. Acknowledgements
  12. +
  13. 3.4. Tutorial for exact ECT computation
  14. 4. Contributing
      diff --git a/docs/contributing.html b/docs/contributing.html index 7090415..e486a8c 100644 --- a/docs/contributing.html +++ b/docs/contributing.html @@ -23,7 +23,7 @@ - + @@ -83,6 +83,7 @@
    • 3.3.1. Acknowledgements
  15. +
  16. 3.4. Tutorial for exact ECT computation
  17. 4. Contributing
  18. +
  19. 3.4. Tutorial for exact ECT computation
  20. 4. Contributing
      diff --git a/docs/embed_cw.html b/docs/embed_cw.html index 09d273d..65ffaca 100644 --- a/docs/embed_cw.html +++ b/docs/embed_cw.html @@ -85,6 +85,7 @@
    • 3.3.1. Acknowledgements
  21. +
  22. 3.4. Tutorial for exact ECT computation
  23. 4. Contributing
      diff --git a/docs/embed_graph.html b/docs/embed_graph.html index 1098aa7..7815ab1 100644 --- a/docs/embed_graph.html +++ b/docs/embed_graph.html @@ -85,6 +85,7 @@
    • 3.3.1. Acknowledgements
  24. +
  25. 3.4. Tutorial for exact ECT computation
  26. 4. Contributing
      @@ -408,13 +409,13 @@
      sort_vertices(theta, return_g=False)[source]
      -

      Function to sort the vertices of the graph according to the function g_omega(v) in the direction of theta in [0,2*np.pi].

      +

      Function to sort the vertices of the graph according to the function g_omega(v) in the direction of \(\theta \in [0,2\pi]\).

      TODO: eventually, do we want this to return a sorted list of g values as well? Since we’re already doing the sorting work, it might be helpful.

      Parameters:
        -
      • theta (float) – The angle in [0,2*np.pi] for the direction to sort the vertices.

      • -
      • return_g (bool) – Whether to return the g(v) values along with the sorted vertices.

      • +
      • theta (float) – The angle in \([0,2 \pi]\) for the direction to sort the vertices.

      • +
      • return_g (bool) – Whether to return the \(g(v)\) values along with the sorted vertices.

      Returns:
      @@ -469,13 +470,32 @@
      +
      +
      +get_all_angles(returntype='matrix')[source]
      +

      Function to get all angles of normals to any line between veritces in the graph. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order.

      +
      +
      Parameters:
      +

      returntype (str) – The return type of the angles. Options are ‘matrix’ or ‘dict’. If ‘matrix’, returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If ‘dict’, returns a dictionary of angles with dict[‘A’,’B’] returning the angle normal to the vector \(\overrightarrow{AB}\).

      +
      +
      Returns:
      +

      A list of angles of the vertices in the graph.

      +
      +
      Return type:
      +

      list

      +
      +
      +
      +
      -plot(bounding_circle=False, bounding_center_type='origin', color_nodes_theta=None, ax=None, with_labels=True, **kwargs)[source]
      +plot(bounding_circle=False, bounding_center_type='origin', color_nodes_theta=None, ax=None, with_labels=True, angle_labels_circle=False, **kwargs)[source]

      Function to plot the graph with the embedded coordinates.

      If bounding_circle is True, a bounding circle is drawn around the graph. This is centered at the center type defined by bounding_center_type.

      If color_nodes_theta is not None, it should be given as a theta in \([0,2\pi]\). Then the nodes are colored according to the \(g(v)\) values in the direction of theta.

      If with_labels is True, the nodes are labeled with their names.

      +

      If ax is not None, the plot is drawn on the given axis.

      +

      If angle_labels_circle is True, the angles of the normals to the lines between vertices are plotted on a slightly larger circle circle around the graph.

      diff --git a/docs/genindex.html b/docs/genindex.html index 12cfe12..8e5dbd1 100644 --- a/docs/genindex.html +++ b/docs/genindex.html @@ -80,6 +80,7 @@
    • 3.3.1. Acknowledgements
  27. +
  28. 3.4. Tutorial for exact ECT computation
  29. 4. Contributing
  30. +
  31. 3.4. Tutorial for exact ECT computation
  32. 4. Contributing
      diff --git a/docs/installation.html b/docs/installation.html index 0658253..8d5c26a 100644 --- a/docs/installation.html +++ b/docs/installation.html @@ -83,6 +83,7 @@
    • 3.3.1. Acknowledgements
  33. +
  34. 3.4. Tutorial for exact ECT computation
  35. 4. Contributing
      diff --git a/docs/license.html b/docs/license.html index af7214b..dbc9aff 100644 --- a/docs/license.html +++ b/docs/license.html @@ -83,6 +83,7 @@
    • 3.3.1. Acknowledgements
  36. +
  37. 3.4. Tutorial for exact ECT computation
  38. 4. Contributing
      diff --git a/docs/modules.html b/docs/modules.html index 738b695..a972e8d 100644 --- a/docs/modules.html +++ b/docs/modules.html @@ -85,6 +85,7 @@
    • 3.3.1. Acknowledgements
  39. +
  40. 3.4. Tutorial for exact ECT computation
  41. 4. Contributing
      diff --git a/docs/notebooks/CodingFiguresFern.html b/docs/notebooks/CodingFiguresFern.html index fcb9472..5d851bb 100644 --- a/docs/notebooks/CodingFiguresFern.html +++ b/docs/notebooks/CodingFiguresFern.html @@ -84,6 +84,7 @@
    • 3.3.1. Acknowledgements
  42. +
  43. 3.4. Tutorial for exact ECT computation
  44. 4. Contributing
      diff --git a/docs/notebooks/Matisse/Matisse_ECT.html b/docs/notebooks/Matisse/Matisse_ECT.html index 315c84c..5d1465c 100644 --- a/docs/notebooks/Matisse/Matisse_ECT.html +++ b/docs/notebooks/Matisse/Matisse_ECT.html @@ -25,7 +25,7 @@ - + @@ -86,6 +86,7 @@
    • 3.3.1. Acknowledgements
  45. +
  46. 3.4. Tutorial for exact ECT computation
  47. 4. Contributing
      @@ -305,7 +306,7 @@

      3.3. ECT on Matisse’s “The Parakeet
      -<matplotlib.image.AxesImage at 0x303d56d40>
      +<matplotlib.image.AxesImage at 0x3199f6190>
       
      @@ -331,14 +332,14 @@

      3.3. ECT on Matisse’s “The Parakeet

      -
      [10]:
      +
      [14]:
       
      # read in color hexcodes
       col_df = pd.read_csv("doc_source/notebooks/Matisse/colors.csv", header=None)
       
       scale_val = 6 # set scale value
      -plt.figure(figsize=(8,8)) # set figure dimensions
      +plt.figure(figsize=(5,5)) # set figure dimensions
       
       for i in range(len(file_names)): # for each leaf
           shape = np.loadtxt(data_dir+file_names[i]) # get the current shape
      @@ -351,11 +352,12 @@ 

      3.3. ECT on Matisse’s “The Parakeet plt.gca().set_aspect("equal") plt.title("MDS of Matisse's Leaves via ECT distances") +# plt.savefig("Matisse_MDS.png", bbox_inches = 'tight', dpi=300)

      -
      [10]:
      +
      [14]:
       
      @@ -381,7 +383,7 @@

      3.3.1. Acknowledgements - +


      diff --git a/docs/notebooks/Matisse/Matisse_ECT.ipynb b/docs/notebooks/Matisse/Matisse_ECT.ipynb index 7db4d29..5b66a5e 100644 --- a/docs/notebooks/Matisse/Matisse_ECT.ipynb +++ b/docs/notebooks/Matisse/Matisse_ECT.ipynb @@ -95,7 +95,7 @@ }, { "data": { - "image/png": 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d8MV6peObIQGbmpqK/Pz8qL+UlBR07doV+fn54ZzYl156CSUlJdi/fz/mzJmDzp0748c//jEAID09HQ899BAWLlyIzZs3IxQK4f7778fgwYPjgmYEIQK3aj9uWQtNTdiPGZCp+h27zfKE7ab1i1/8AhcuXMAjjzyC+vp63H777fjjH/+I1NTU8D7Lly9Hu3btMGPGDFy4cAHjxo3DO++8g7Zt2/IeDkHE4WbtJ5iTASk/Ff/fzg8woOvTjo1D7lT1+vq9+GTDZjwwbQKS0zppfkdvGR2ehKrrMaBHKn50c2e888H/wZxZ/wujBvc33T1OFJYFbFlZWdT/k5KSsHjxYixevFj1Ox07dsTKlSuxcuVKq6cnCMPI2o+Sm8BN2o/TbKisweZjF5GSOwp/+Po8AO3yWbteTLHZA6nBH+APX59Ht+5NKByabcsYWKF+sERCwrN3rh/RW1U2lsJgli1zp+c/dyplTA1q9kIkLDx75/oNPT/0wEBq1P/XhU7aEuhyq/9cDRKwBEHEoWfuH6xpivvMjkCXm/3nSpCAJRIOt5dXugGtKL3WKrmiNUitVo9u9J+TD5ZIKLxQXukW1Na8ys3tj9Kq04rfEa1BLl1/MG5tsYLcbpivs5aZU5AGSyQMXimvdBNKa16pabcFN6trtjxQu39qwt4NkIAlEgavBUjczKLJA+NM9dKv2RZtNIsXG8uTgCUSBq8FSNxMqLpedRlwUdaAW/o1GIEELJEweCVA8k1dK1LyxmLTkWas23vCFa6Lb+pakT5qFoorGxGqrnfEGnBTvwZWKMhFJAxeCJBcC8LVIXPqQrxR3giUfwUAmHtXX8eCcPKYbrhzNj480IwPD+zSbdAtSqOUC0Tmvvgafvazn2PWmFtcc++UIA3WB1DakT5eCJC4MQinNqaSfSdttwbk57y64RIun63B0J7JrhauAGmwnofSjtgoq6pV3WZnkxItWMxuu8epNaY7+3fDAyNuikvjmjmB/3Pn1eecNFgP40aNx40sXX8QK0oPq253S4DEjUE4vcCSUhoXb7z8nJOA9TCUdqSPXtMSu5qUsODGHqduCCx5+TknAeth3KjxuA29H9/3+4lNjueFJDl3bqcbgXv5OScB62HcqPG4DS/9ON1sCgdzMjAzPxUNOz8Q4gbQO7dXn3MKcnkc6muqjZz7qpQU77YfpxuDXG5hUl4Ah6pP4pMNpXhg2nhXrl6gBAlYH3C9r+l/YqjLOro7jRdyX2W8pG3bSWQGQUruSNeuXqAEuQgI3+KF3NdIvGwKi0LtHjrtMmGFNFjCt+g1B3GjwCKXTzRevIeRkIAlfIsXm4MA5PKJxKv3UIZcBIRvcUMOJ2ENr99DErCEbwlV12NAj1T86ObOaK7aiXE3dUTJvJG25nAS1vD6PSQXAeFLYmvXU3JHYfOxi+hfWeMJzYfwxz0kDZbwHW5O2CfY8Ms9JAFL+A4v164T1/DLPSQXAQNyB/fIdBmlzwh3wCthX77HhyP67A7lMUBCF78UXZCA1eHJtaGoSiA5ohlpvjjZbZ6IR448K5mYrNFnr/Yf9Qs87qEbIAGrQaxwBaBaVTIpL+CZm54IWEnY1/P/0b22Bz8UXZCAVUFr1UwlvFBVkmiYTdinpivOI7tnqhsuAQBy0tt7ovdALCRgVTDqRL905aqgkRB24xf/n1fxk3uGsghU0PoR9e8Wv+2ZdRVYuv6gyCERNkFNV5zDL+lZMiRgVVD7kRUGs3DotLJ268UHwI9YXWU3snqoKfQ5fnRzZyy7b4inKoi8il/Ss2TIRaBB1BrsP/8ZZo0egqNnmrEupO6b9ZN/zotpSlbNy9jvpwZ/4Kn+o17Hb+4Z0mB1GNC1Axp2foCZeWkI5mT47gFQY+n6g5i+ahee+ugrvFHeGBZUbnaDWDUv/WaeehG/uWdIwBrEbw+AEl4VNFbNS7+Zp15lUl4A427qiOaqXZ53z5CLwASLJg/EpLzAP83no/j3xS/gv5a/hJkTvPcAKOHVNCWr1kWiWCduxsvLwyhBGqxJgjkZKByajfF9U9BcucX2lTZF4lVBY9W6SATrxM14fXkYJUiDJeLwcpmi1eqf66uXbsYD0yZ4ZvVSP+D15WGUIAFLKOLlMkWzFVzR5ukoz5unXsPry8MoQS4CD2M131OP64IqBYVDsz0hXM3iR/PUa3h9eRglSIO1yDd1rUgfNQvFlY1Iyqy37UFwezlhqLoexfubkD5qlifyZ71knn5T14qUvLHYdKQZx3DCM5YFC1G55z/7OWaNucXT10YarAWWrj+IRaV1uOHO2fjwQDOmr9plS56o29Oo5BzaDw+eww13znZ9/izgHfNUfuYypy7EG+WNeOqjr2x77uwinHuen+pp4QqQgDWNkyalm/M1nTa1Q9X1KK5sDGvOrHjBPHX7i9Uqol1eTkAuApM4aVK6OY3KyXmJdJvImrMRl4lSabRbhCvg3fxkFtzu8jILabAmcdKkdHO+plPzwktzji2NdhNufrFawc+aOQlYkzhtUi6aPBBLC7rizKev4pFhaa4pJ3RqXvQ0Zz3cYp5quTjc/GK1gptdXlYhF4EF5JLZD8r+ijff/A1Wv/C4reWyZvM9ReOEqW1Fc3aLecri4vBjmbZfNXOANFjLBHMyMDM/FQ07P/BVuaxV7Da1zWrObjFPjbg4/Fam7VfNHCANlvARZnIo3RI48lIergi8XDmoBWmwhK8wmkPpFvPUK3m4IvFj5SAJWA5EVtas23vC01HPRMMt5qnTQVNCDOQisMi1wMT1yhqUfwUAmHtXX0/n7yUSbjFP/VYmSpAGawm3BEgI67jFPHVrmajZCrlEhzRYC7glQEIQIrFaIZfIkAZrAbcESAhCFE73lvA6JGAt4JYACUGIwmqFHCt+dUGQi8Aifqys8SKh6vp/3oPrpa5u70HrBexIH/OzC4IELAeCORkI5mRgL2rxjA8qa7yGW0pd/Yja+my8LDQtF8SkvIDnrUByEXAkcnUD8k/ZQyJncoSft/1NQq9Tbix0dvt7mDGwC9emQna5IJyCBCwnnFrdINHxcycmLaKet4PnhD9votLH/F7BRgKWAxRpdY5EzOTw0/Pm9wo2ErAc8LuZ42b8kslhpB+tnc+b3rh49NEV6YJwGgpyccDvZo7bcUupq1mMBunset70xsUzuBh2Qbz2tGfuGwukwapg5M3shJkTuyx2ouOWUlejmAnS2fG86Y1r7Z7qhA0uGoEErALystNPffQV3ihvDL+ZtYIIiyYPRMm8kZgxsAvObn8PSwu6CjNzvLgsNqGM2SBd+HkblCLkedMb11cnzlr6fqJAAjYGK2k/dqxu4KcAB2EtSBfMycDMvDQhz5veuIZk32Dp+4kCCdgYrKb9iO4N6/aAmlsWD/QKbg3S6Y2raHgOl3H7/XmhIFcMVjQKO3rDujmgRhVV5nBrkM7suCSJ7fiJ8LwY0mBXrVqFW265BWlpaUhLS8OIESOwfv368PY5c+YgKSkp6u+OO+6IOkZLSwvmz5+PzMxMpKSk4J577sGJEyf4XA0HzGoUdlUUuTVvMJErqnjg1iCd2ris3u9EeV4MCdjs7GwsXboUX375Jb788ksUFBRg2rRpqKysDO9z991349SpU+G/zz//POoYCxYsQElJCYqLi7Fjxw6cO3cOU6ZMwZUrV/hcEQfkvLwzn76KR4alYdl9Q3Rz8+ysKIrKGxyU4oq8wUStqPIzWh2urN7vRHleDLkIpk6dGvX/X/3qV1i1ahV2796NvLw8AEBycjICgYDi9xsaGvDWW2/h97//PcaPHw8AWLNmDXr16oVNmzZh0qRJZq5BCNff3P+JoUOzdfe3u6LIbXmDiVhR5Wf0OlxZvd+J8ryYDnJduXIFxcXFaG5uxogRI8Kfl5WVoXv37hgwYAAefvhh1NbWhreVl5fj0qVLmDhxYvizrKws5OfnY9euXarnamlpQWNjY9Sf23BrsMIuEv36nUJEUJUlU8Xq/U6U58VwkKuiogIjRozAxYsX0aVLF5SUlGDQoEEAgMmTJ+O+++5D7969cfToUfzyl79EQUEBysvLkZycjJqaGnTo0AEZGdGT16NHD9TU1Kiec8mSJXjxxReNDtV2Er03rFuDNX5FVFBVL1NFvp9Wn/dEeF4Ma7C5ubnYt28fdu/ejXnz5uHBBx/EgQMHAABFRUX44Q9/iPz8fEydOhXr16/HN998g88++0zzmJIkISkpSXX7s88+i4aGhvDf8ePHjQ7bNoI5GSgcmo3xfVPQnIC9Yd0arPEbIoNERjJVrD7vfn9eDAvYDh06oF+/frjtttuwZMkSDBkyBCtWrFDct2fPnujduzcOHToEAAgEAmhtbUV9ffTNr62tRY8ePVTPmZycHM5ckP8Iwg+YzQMVGSRya6aKF7FcaCBJElpaWhS31dXV4fjx4+jZsycAYNiwYWjfvj02btwY3ufUqVPYv38/Ro4caXUoBGEa0QUiSpgpyZYRHSTyc4crOzEkYJ977jls374dx44dQ0VFBZ5//nmUlZVh9uzZOHfuHJ5++mn86U9/wrFjx1BWVoapU6ciMzMT06dPBwCkp6fjoYcewsKFC7F582aEQiHcf//9GDx4cDirgCDsRm5eLfsyn/roK+ENrK2a+HYEiUQ12U4kDAW5vv32W/zkJz/BqVOnkJ6ejltuuQVffPEFJkyYgAsXLqCiogK/+93vcPbsWfTs2RNjx47F2rVrkZqaGj7G8uXL0a5dO8yYMQMXLlzAuHHj8M4776Bt27bcL84JaPE9b6En6EStC8Vi4uudN9GDql7AkIB96623VLd16tQJGzZs0D1Gx44dsXLlSqxcudLIqT1BIpT++Q0egs4MvEx8WnDT3VCzF04kSumf33Aq4T1R8kATHWr2wgmnNCG3ERksOoYTrs9rVFuWGhAv6BIhDzTRIQHLiUQp/dPCjm5iInDSl2m0JJvwFuQi4ESim3xed5EkeoEIIQbSYDmSyCYfuUgSE8qa0YYELGcS1eQjF0niQVkz+pCLgOBCortInOabulakj5qF4v1Nlt0xLOW7PBpu+3mpGBnSYAluUOK7M8jBxRvunI0PD57Dhwd3mQ4ssmqlVlxCiaT5kgZLcIWCRfbCc5VhI1qpWZeQ14OhRiEBSxAehucqw0Y6dJl1CSXKUjEy5CIgCA/Dc5Vho1qpmayZRAuGkgZLEB7G6d6tRhtmJ1owlAQsQUTAMxpvF4smD0TJvJGYMSgFZ7e/h6UFXU31brXLfDezarNXIQFLEP9E7gsrR+NF94TlSTAnAzPz0tCw8wPTgUU7zXe/LxUjQwKWUMWJLv9OwTMa71USzXy3AwpyEYp4tXGLWVhXUvU7lMvMF9JgiTh45Cp6zZfJMxrvdSiXmR8kYFVIJPM4FqvBDi/6Mp2OxhP+hASsAk4sgucmrAQ7vOzL5BWNJwgZErAxJFopnxJWgh08K4uMwMvi4BGNd4pEtrrcCgW5YvBKX9NIH2dSZj33MZkNdjjhy0y0gJwSNAfuhDTYGLxQymeXj9NMsMNuXyZZHDQHboYEbAxuzwX0go9T9mWOu6kjmqt24Uc3d0b/7qlCxiei+shrpnaiNVDxEuQiUMDNuYBeydfcUFmDzccuIiV3JP7w9Xn84WsxJitvi8OLprYXrK5YvLb6sFlIg1XBrbmAXsjXtNNk5WlxeNXUdrvVFUsiZemQgOWMaPPSC/madpusskti2X1D8MiwNJz59FVTKVZeNrV5zYFovPoSMwsJWI7Y9WZ2e76mnia9/dBp7ufkYXF40dSOxK1WVyRefomZgQQsJ+x+M7s5X1PLZAWAkn0nXampeM3U9iJef4kZhQQsJxLtzazHoskD8URBP9XtouYjnB9c2WhKiEea2j+6uTOaQp8LzYJINBLtJUYClhOJ9mZmYUxud9VtIuYjKj/4QLNp90wwJwPffNuEP3x9HqnBH+APX5/3dSDGbrziL+YBCVhOJNqbmQU7A3JOra5qFa/l3PLCC/5iHpCA5UgivZlZsSsg59TqqlYQFRRNVKHtRkjAciZR3sxGsCMg5+TqqmYQpSUnUo6pFyABS/gCnu4IO9w9IrRk3kLbasCQIAFL+IiwO2JgF8vuCNHuHhFaMk+hzStgmOiQgNXB7NInfvKDeUmTCeZkYGZ+Khd3hOzuyUlvj3Y3BLD3VAu36xehJfMS2kYChn56zkVAAlYDs20B/eQHS3RNRmRrSN5aMi+hzRow9NNzLgoSsCqYTfvxU621F1ojisSO6+cdFOUhtFkChn56zkVCAlYFs2k/fqrocmr5F6vwMlu9ev1WhTZLwNBPz7lIqB+sCmbTfuys6BLdU5Nn6pNd/T959nP1QmtIUcg9kT8o+yvefPM3WP3C41H9kKlykQ3SYFUwm/ZjV0WXHf4vXqlPdvnqeJutXmgNKRKtgCFVLrJBAlYDs1VIsQ1Dmqt2YdxNHTFxUIDLuOz0f1lNfbJzrCLMVruWv/FiNJ4qF/UhAauD2SqkyIYhKbkjsfnYRW5am93+LyupT3aOVZTZGrv8DW8N3MvReKpc1IYErCBERqC95P+yc6xaZmtBbjdTxxStgSd6NN6LmrsRSMAyYOYhEBmB9pL/y+6xymZrrEAtrTptSisUrYGLPL7ZIpnYY4gSgF7W3FmhLAIdzEalRUeg3bzybSxOjLW0SnlZmtXbjmBSXoBZsIvWwEUdX35u5QKJDw/uMpxJIXKFXT3N3cg9cjOkwWpgxXyzIwJtp//LqiYTWXYKANUNl4SZhDy1Qi0NvDCYZfleitDwebinjD77RrXlRMmjJQGrgdWHIDoCvdOzS4/wMuXsMgl5a4XyfRwb43ZYFzrJZey8s054uKeMPPtmyom9FEewAglYDXg8BNcj0KM8ufQIryCMncEcvUUXN1TWmDruFgW3A6+x88w64eGeYn32zWrLXoojWIEErAZWHwI/RIh5mXJ2m4SLJg/Ey4WDFbeZmXvRZbM8s054uKdYn30r8yI6X9wNkIDVwUoytR/8TLxMOSdMwvZt1R9vo3MvOmjJW4DzWKqH5dm3Oi8i88XdAAlYBswGk+wSKiJTaXiZcqKDRUpoze+lK1cNHUtt/AU3m8uvjUWEAOexVE9cT9yai1HPl1Vt2e8d20jACsQOoWJH4IhXSaToYFEsWvP/zLoKw+dcNHkgpt+aFfVZ6dfm8mtjURXgJgskeKLXE9hKObFXO5axQgJWMGqJ7zyEit2BI14pYSKDRbFMylP35xk9Z6i6HiX7TnI5lhKKAtxkgQQvWDVMs+XEfu9YRgLWAFYqY5QS363+KJ3w8Vp1R9itsfCcI9HzLVqAm0HrmsqqagG4P1/cSUjAMmJl6RBRQsXuwBEPdwRPv6jV8wHA9kPKFV9mjmV1vkUIcKsvRK1rWlF6GEvXH6R8cQ1IwDJg1REvygyyM5eQlzuCt1/UyvkAoGTfSS5jB8zn18rwFuA8XojBnIw4t0Ukq7cd0X0xJkK+uBokYBmwqoGKDGDE5xLuFJJLyFO74ukXZWHR5IF4oqCf6nbZ1GU9Fs/82kh4BkV5+ufv7K/9nLZv28bSuP2QL64GCVgGeGigIgMY0bmEo4TkEvLUrpzwHY/J7a66TTZ1WeGZXxsLr6AozzlmufdWMkT8kC+uBglYBng44kUGMOxa/ZSXO4KnX5QVFlOXda7siHxbDYryfCEaufdmMkT83JeABCwjVpcOEfmWtisyz6u0kadf1Ah6pi6rq0B00QFL5F4P3v752HvfFPo87jdg9jn0c18C6gdrgNhcvz98zd4fU+Rb2s5cwmBOBjZU1kSVNm5eZbzX6KLJA5Hcrg1WlB5W3H70TDP3H5beXKwoPYyWy1eZrmPR5IH4tvFilFVS+vVplH592nK/VL3IvZEx8uzDG3nvU4M/iPsNaPnW9ebeS/2NjUAaLCNWHfEi39J25hLydEdo+UVFmIV6mjPAfh0iXT483Rk8C0T0fgMALD2HflzfiwQsIzxMfBYzyyx2rX7K0x0h2tRWQi+jAGC7Dr19jGQmKMHLnSHDY/kYlt8AjyYz4bFWNno6gwAgAcsMLxM/MuIvm1m8cv5Er34K8HdHiKzvV0NLcwbYgmws7gYr4+d5fCtFMkbGJG+30mRGr++B1yABywgvE19Uzp9duYS83RFOlIeyBNnW7qm2dAzA2vh5Hd+OPrMAn+ZFfuysRQLWADxMfFHZBHbmEvIsbRRtaquh5ypgqSrj5W4QeXxRfWb18nTdthKzU5CANYhVE19UDqjduaW8ShtFm9pa6LkKWDQnvWNYDdZZdWeIyjDRytM1W6Lrx85ahgTsqlWrcMsttyAtLQ1paWkYMWIE1q9fH94uSRIWL16MrKwsdOrUCWPGjEFlZWXUMVpaWjB//nxkZmYiJSUF99xzD06cOMHnamxAZDYBYD4H1M7cUp7uCNGmtt65YyuPYtHTnJxcdRbQv68iMkz08nSps9Z1DAnY7OxsLF26FF9++SW+/PJLFBQUYNq0aWEh+sorr2DZsmV4/fXXsWfPHgQCAUyYMAFNTU3hYyxYsAAlJSUoLi7Gjh07cO7cOUyZMgVXrlzhe2WC4JVNoGX6mTWHRB3X6HGMnke0qa3F4wX9NbezaP52rDpr5b7yiOxHYkWbZB7rwC5cxuo0hgTs1KlT8YMf/AADBgzAgAED8Ktf/QpdunTB7t27IUkSfv3rX+P5559HYWEh8vPz8e677+L8+fN4//33AQANDQ1466238Oqrr2L8+PEIBoNYs2YNKioqsGnTJiEXyBte2QSickC1jsurHaCIognRprYaPDV/kY3Erd5XHsvHRB5LrXlR1g2dNL/Luk7XzPxULmN1GtM+2CtXrqC4uBjNzc0YMWIEjh49ipqaGkycODG8T3JyMkaPHo1du3YBAMrLy3Hp0qWofbKyspCfnx/ex+2IXqPKaoctO9oBimjbJ7oVoBY8um3xKG/VQu++Prk2pHsMnmu3qTUvemZdBW7NTlf8jpH8ZpHrzNmJYQFbUVGBLl26IDk5GXPnzkVJSQkGDRqEmpprP4AePXpE7d+jR4/wtpqaGnTo0AEZGRmq+yjR0tKCxsbGqD8n4blGlYgOW3a0AxTRtk9kK0A9rHbbYmlMbRWt+1qy76SmkOW9dptWet2+Ew14uXBwnMuENb/ZjnXm7MKwgM3NzcW+ffuwe/duzJs3Dw8++CAOHDgQ3p6UlBS1vyRJcZ/ForfPkiVLkJ6eHv7r1auX0WFzJ261zVMthgWAqBxQu1K2tNr2mdXaRByTBavlqTzLW9XQu29q7gwROdJ6Yzl59oKiy0TvnH7rDWtYwHbo0AH9+vXDbbfdhiVLlmDIkCFYsWIFAoFrb9dYTbS2tjas1QYCAbS2tqK+vl51HyWeffZZNDQ0hP+OHz9udNhCsFohI0oQ6vm57PDFmtXa7NAE1bBanqr3fasvNhb/pdIYRTxnummBh8+YOqffesNazoOVJAktLS3o06cPAoEANm7cGN7W2tqKrVu3YuTIkQCAYcOGoX379lH7nDp1Cvv37w/vo0RycnI4NUz+cxoeVSeiclf1/Jk8fbG8tTY7NEE1rObkis5FZklpUxqjiKCk3lj2Vp81dU6/9YY1JGCfe+45bN++HceOHUNFRQWef/55lJWVYfbs2UhKSsKCBQvw0ksvoaSkBPv378ecOXPQuXNn/PjHPwYApKen46GHHsLChQuxefNmhEIh3H///Rg8eDDGjx8v5AJFIbpnJ2Atd1XLnwnwE1S8m5KwHFOUFmM1J9eOXGTZ/z8s5wbmMWqNy0pjHb3goNoYtYLBfusNa0jAfvvtt/jJT36C3NxcjBs3Dn/+85/xxRdfYMKECQCAX/ziF1iwYAEeeeQR3Hbbbfj73/+OP/7xj0hNTQ0fY/ny5bj33nsxY8YMjBo1Cp07d8ann36Ktm3b8r0ywfAyZUXmrmr5M60eW0ZEJZYTKx7IsOTkriw9ZPr7POY8mJOB2bf31twndoxqubpWG+toBQfLq89i+q1ZhoPBvILIbsCQgH3rrbdw7NgxtLS0oLa2Fps2bQoLV+BagGvx4sU4deoULl68iK1btyI/Pz/qGB07dsTKlStRV1eH8+fP49NPP3VF0MooPE1ZUbmrdphbIiqxeDRjsYJeTm5p1WnN63FDLrLaGM0EnrTQ+x2U7DuJPpkphoPBfukNS70ILMDLlBWVu2pXbqmISiwezVjMwvLS0HJ9uCEXGYgfo6gAkt7vYGXpIS7tEr0ICVgL8NQQReWu2pVbyqPHqtFjigx46fmw9VwfTuciA/FjdKrRkNUFHL0MCVgL8HTIi0xPsSO3VESAJ5iToVvZJjJtp2h4jmk3kF1tGFnGKLtTnGo0pAbLHHi9oosErEXiV1rdaWqlVZGBHb2AHEuZJQs8Sk5jmc+hGYsVWMxfJexsw6g3xshSWqcaDSmhNwd+qOgiAcuByB6xKbmjsPnYRcMPgsgUH5ZABC8ha7XkNBanlviWMRtMsrMNI4srKvIeO9FoSA21OfBLRRcJWA7wWupChAYoo6fl8BJUIgoFRM6LHlYCXna1YWQ10eV7LGqxSb17r4bSHPiloosELAd4LnXBWwOUYdFMeD20IgoFRM0LC1YCXiKCf0rojVFGnntRi03q3XsllJ5Nv1R0kYDlgNbNNpr3KKpUlEXLcXO/WCdLaAHzAS87XRxFw3OY77GoRkNG763aqg9+qegiAcsB3nmPokpF1ap5ZOzK0Xyt9JCpH7CIslye51cLeNnp4lBblFBGDniJMsGNZhRorfoQH0DeZSqA7CQkYDnBM+9RpHkUzMnQXCbFjhzNLSZ73jq5QCLL+bUqvOx0cQRzMjSzL0r2ncT/7Pu75jGsuC5Y3RUyev0drgeQR5oKIDsJCVhO8NQINJtzWFzxgGUsvDQqvV4IXlogkfX8anNnt4tD7x5vPXQGo/tnqm636rpgcVdEojZvvALITkEClhO8e7CqmXo8Vjxg0QR5pG2Z7V+qBUtk/jWNZixWYQl4/fSdvyj++PVcDDzHzTL3Ww+dwU03qq+hZfVFayQ3Vk2L5xlAdgISsJwQ1YNVqcwQsPYGZ9HEeOTGsqTtmDGP9SLzW3SasVhFL+Cl5gLRE3o8x83qCz32jwuq23i4Lozkxio901pz5oVMAhKwHOHdg9Wq2yFUXR9XXih/NikvoKtd8OhatbwoqCtkRbgKnA54Acb6ssqICHgNDKTq76yCVVPcaG5s7PWrzZlXMglIwHKGZw9W1vJZJUG6dP1BTF+1K6q8MPaz6n+c1x0Dj8yC5UVBSz1WlWAx1XlVpynBqj3F3m+rTWSMEszJwEvT2QNOSlgV+kZyY5WuX35RjLupI5qrduJHN3dG/+6p5INNRHj2FGDJoXxybShOkCoFBlZvOxL3Wcm+k0zaBY+AgtUeq0romeo8S4BjYTXBle63lSYyZjDbjEXGqtA3asorXf+GyhpsPnYRKbmj8Ievz3umLwEJWM7wbhatFyiITRZfve0IXl+/l/n4OTd2ZjIjrQYURJnHLCXAoppz6+Wcap3f7pxelrFqIdrnH0vk8+blvgQkYAXAu1m00SYan2woZd53RelhbKis0TUjeZR0ijCPWbQj0c25/3vO9wzfbydyeuWxGslRjcTKS9Zot63I+fFyXwISsILg2SzaaKDggWnGFpCUtQM7lmnhbR6zakeiNR2j99vJnF69e6CG1ag9q6IQG8Dycl8CErCC4N0s2kigYNTg/nE/XpaxsGjePHyaZktO1WCNlovuuqVWgiyjtBChUzm9ZpqyWF1iiGWOAECS4r/n1b4EJGAFwrNZtJG3dJ/MlKg67pJ5I3XHIh9fT8vgETiyUnKqBku0XHQprVYJMqB8XU7l9JrR+nho1HpzpHYer640SwJWIDw7KSkda97ovoqfyW90eWXOYE4GsxbAonlbLaMUFfDyYimtUzm9Ipd54XFeJevOiyvNJklSrELufhobG5Geno6GhgakpaU5PRxdlm+sworSw4rbnijohycn5DIfK1Rdj6NnmtEnMyUsFJU+0/v+zopD+N3/bMI9kwrw2OShUd8LVddj+qpdmscxOm4l1u6pxjPrKlS3j83thscL+hs2AbXmGwAGBlLx0vTBwkxLM9el953pt2ZheVGQ6zhZzitqLHrnLZk3UvX+7N27F8OGDUN5eTmGDh1qaRysmJU5pMHaAM9OSpFaqdZnWt/X607EomXwMLfNlpzqoWd2H6xpEppDaea6nMrpNRPw4jEWrWYwbverGoEErA2wdFISlasZC2t3ItnnNTTnBtVj8Ri3mZJTPdyQWWDmuuxa1icWlnJmEWOJ9Ku+XDg4HC/Q86t+U9eK9FGzUFzZ6OocWIAErG2wrPxpR1WKke5EwZwM3H97b83jWR03a7CFdymtjKgovZnrsnNZn1iWFwUN58fyWk+scGg2iobnMFlh8kqzN9w5Gx8eaHZ9NRcJWJtg+fHYUZVitDuR6HGzapulVacNa8ss5u8WE8dlwcx12bmsjxJGe7iKHIsSXuwNSwLWJlh/cCJ7mWqNQy1zgHXcz5VUmH7IWcs4zWjLLObvM+sq8C8qPVytYOS6ZJ8my7I+IsYqY6QDl+ixxOLF3rCURWAzLFFbrQgqL55cG1Jc9G7uXX2xaHK8D4w12qz2fVZEzY9d47dy/sjoPEsmh6ixsp7frrHIaI1J9G+Gsgg8AosZJrqXqZkVRVnNR6vmWtHwHN1qHzPaStHwHKZGJyLLU/WuKzJwxHKNTuf02jUWGS/2hiUB6wBO9zI1uyYXa+DIqrmmV+2z5s9/M/Vj1qtmk7Hi7tCCpYpJnnuz/WZ5YrRBi1NmupttcBKwDuFkL1MrnZxYAkdWO2/paU97q8+aih6zamWi8mSN5Bdb6TfLEyOd3EQHvSjIRRjCqbxHqyWleoEjHp23WLQnMz8svSCS1eOznn8YQ34xy1hF9rsF2Bu0APqreVjFi0EuErAO4mTeI4sA0zq33jIwPPJ6WbQno/mxwDWh8TZjX1QRWR3BnAzMZswvlscqeq61YHFtAOLbBnpxAUQSsA7idN6jngDTe2hZeqBa0a5Y+uCayY+VcTJP1mh+Mc/+wkZRek5vzU6P+r8dgSYvBrkoTcsFhKrr8VrpIWxRWaJbVKMP4FpljJJfqzCYhWUz9M/5L+/8RXVpcRmr41dLKYvEbGMY1uMX5HbDfJPHV0Nt7iOJbEyjN9fL7huCwqHZ3MYXS2xTISNNhnhSvHE35r74Gn72s59j1phbbDm3WZlDAtYl6OUdihSyoep6rCw9FPfjZcltZM2XtDp+0XmsTuXJGjnvpLyAY8+Im6BuWoRh9HytooMZSpoRi4nPGu22On6WPFLAvKnsVJ6skfxiwJ5lfQh+kIB1CU4u3qcl3FnOyZofa3XJGdZgi9k8VqfyZFnn77mSCkzKC9iyrA/BBxKwLsHJFnt6wp3lnKyamJX8XtF5rE7mybIE3OTzVv/jvOZ+InOoCWOQgHURrI02eKduseQ6spyTdfxWTFnWBiqA9/JkWfuyluw7iZt7dNHdx63J94kECViXwbJ4n4icPz3zm7ViiGX8gDV3RzAnA//NmMfqtTxZ1r6sX397TncftybfJxIkYF2IlqlacLPx5ZatnhOwvkCjElbzZFnMai/myZpZxkUJu/u1EvGQgHUpaqZq6dfm1qliPadWAMVIly9Wd4HVoAxrv9cn14awbu8Jw2azkePzhNVdcFPXzqrL+tjdr5WIhwSsy1ErPhBVucN7gUYWd4HVoAyLWV2y7ySe+ugrUy8n1uOLELJ65z1Wdx57q8+qbi81uXAkwQcSsC5Gz4cmwsfGskCjiAUI7cqTBcy5JljyZEXkoRpdxkUNN3ec8jMkYF2MXjBLVIMLvS5fohYgtCtP1uy5WPJkReQqs86fHqKXIyLiIQHrYrS0P5ENLvQEd2nVacPakJvyZM2ey8lcZR6Bry0m7hthDRKwLidy7fgf3dwZzVU7Me6mjpg4KCDsnCyCxMyyNm7LkzVzLtZrELHsD2vgSwvRyxGJJFRdj3V7T2DTkWak5I3FN3WtTg9JF2r24hGUOi+JXmhOrxGJ2Q5WrA1irHawClXXo6yqFitKD+vua/RaWK5BVPMV1gYxaky/NQt39u9mexcsK6h1HrNjsUWAumn5GidX02Rp5WfmIWdp1Wfl+Haci+W4ooQsy31hwS4BZQW9l5kdqzBTNy0f4+RSGXoBL+Caz3H5xipD/j1WU1s+vhXfoahzsawKIarDFQ93AeCN7AInsml4QQLWAzi5VAbr8VeUHjacb8maJwtYj4AbOZeRLAmWZW1EdUFjLavVw80CCnAum4YHJGA9gJNLZRiNzIvKk+VRksp6LiPltU5mFgB8sgvcLKAA7dxsNy8XA5AP1lOEquvx+vq9+GRDKR6YNh6jBve3LVChtuqBEmaWLtFbNkeGh0+T9VqMBINC1fV4rqQCB2uaVPeJXP6FN2Z9svNG98Uzd7vbB6vk6xaxhI8WFORKAJyOpAJsEWwrQlD08Y2eS4bn8jmi7pfe9QzNuQG//OEgVFVV4V+ffA7/tfwlzJxwB/dx8MTJAG8kFOTyOaHqetWItZ2BCpaCASuBHTtLUnmX19rVRUyN9m21f85yz4IBXTuguXILBnTtwH0MvNHK23W77xggAesZ3BRJlaPyP/5eL9V9nllXgZ+a7OTEWpJqtkNWJLzLa+0qC1aCxZfqpUKDpesPauYwu913DJCA9Qx6DxNrQ2xeBHMycN8wdQELXAtMiVy6xUqHLKPnijynnmBkDTzx7sDFci0rSg/jd39t5HZOUWhZbMC1ZeXdHNySIQHrEXg2xOYFy1IzgLWlW1hyV+Vz2Fleq5f3a2T5F57uAvlahqn0iAWAj6ua0aHnAG7nFIGepv39fmIaz/OGBKyH0Etsd8InxWpim126hTV3FeCzDE3JvJG6xQMAW94va54q7zzZYE4GZt/eW3Of9JFF3M7HGz3XAOAN9wBAAtZzaCW2O7FEiIjcUjPHl7Ea8AvmZODJCbnM59TTnFm7iPEOVOoJoM79b8emI+4LEum5BgD3575GQgLWY2gJHKeWCGE1sc0Gdoys9AoAz5VUWJ4DIy4KvetiPRaPccuwvJjeKG903UoHelbYEwX9XJ+3GwkJWA8yKU+9VaFTS4SwrvRqNrAjr/TKYsIfrGniMgdGXBR618VyLF7jlmHJaHBbLwK9YC1LabKbIAHrQVh8rU79cFhyS+XAjpkUKyMmPI85MOKi0LsuJ/JkWe6HW/JJQ9X1mtVoXnINyJCA9SCsDn6nlghhCXw9s64inGJl1m3AEkDi6S5gCX7pXZcTebJ698MtASOtzAGvuQZkSMB6ECMNUpzQYkUv3SLDkm/K011gJPgFqF+X3XmyTi09ZAS9zAGvuQZkqBeBh2FpkPJEQT88OSHXxlFdh6UBSiQvFw5G0fAcw+dhbXRi9vixGL2uJwr6YUxu9zhB5sS4j55pxqUrV9G+bRvXrGig18OhMJiFZTP4Ny03AjV7SWD0mnw42bWetQGKjNmxsjZu4TUXRq9L7dx2j9uNrNt7Ak999JXqdjPd2XhjS7OXJUuWYPjw4UhNTUX37t1x7733oqqqKmqfOXPmICkpKervjjuiO/a0tLRg/vz5yMzMREpKCu655x6cOHHCyFCICPRMTjMrDvDCrjxWVrOb11wYvS753LFBMKfyZN2Elxtq62FIg7377rsxc+ZMDB8+HJcvX8bzzz+PiooKHDhwACkp1yZhzpw5+Pbbb/H222+Hv9ehQwfceOON4f/PmzcPn376Kd555x107doVCxcuxD/+8Q+Ul5ejbdu2uuMgDTYePS1Axu4+mjKyedonM0XXrSGPUd7fyFiN9EXl1VuW9bpimXtXX0zKC4TN9nd2HdN0O8gLM5qZFzejtbaZW/rVOuIiOH36NLp3746tW7firrvuAnBNwJ49exYff/yx4ncaGhrQrVs3/P73v0dR0bVyvZMnT6JXr174/PPPMWnSJN3zkoCNxy5TnAeix2qkzyvPRQnNuA1ix2KkabYf3AZac8bL98wDR/rBNjQ0AECUdgoAZWVl6N69OwYMGICHH34YtbXX0y/Ky8tx6dIlTJw4MfxZVlYW8vPzsWuX8kS3tLSgsbEx6o+Ixu6SUiuYGasRs57V7Ab4Nlsx4zaIHcvo/pnM+/vBbaCVmqXX39YLmNZgJUnCtGnTUF9fj+3bt4c/X7t2Lbp06YLevXvj6NGj+OUvf4nLly+jvLwcycnJeP/99/HTn/4ULS0tUcebOHEi+vTpg9/85jdx51q8eDFefPHFuM9Jg43HiPYmcgkTFoyMVSbSrNYzk41qsqzLw+gRqq5HWVWtbsMSHozN7Ya353xP+Hl4w5IBY+eKBXrY7iJ49NFH8dlnn2HHjh3IzlaP8J06dQq9e/dGcXExCgsLVQXshAkT8N3vfherV6+OO0ZLS0vU/o2NjejVqxcJWBW0fFpKOGlqml1LSkZv7EbnguWYrJg5txncJIhYYJkXN6RmRWJWwLYzc7L58+fjk08+wbZt2zSFKwD07NkTvXv3xqFD16qKAoEAWltbUV9fj4yM6w9FbW0tRo4cqXiM5ORkJCcnmxlqQrJo8sCwlrf90GldAbZ62xEkt2ujmKspGtn/aVbIrt52BH0yU1TzOiPn4r0//w3l/1w2Re+YPOYj8tx9MlOwobJGiMAtq6r1jIBl6ZYFeKffqx6GNFhJkjB//nyUlJSgrKwM/fvrl0TW1dXhO9/5Dt5880088MAD4SDXmjVrMGPGDADXtNzs7GwKcgmC9+J+IohMgjfqNohEa/y8cletwOs6Y/FKwOtf3vkL08rEbtPKbQlyPfroo1izZg3ef/99pKamoqamBjU1Nbhw4QIA4Ny5c3j66afxpz/9CceOHUNZWRmmTp2KzMxMTJ8+HQCQnp6Ohx56CAsXLsTmzZsRCoVw//33Y/DgwRg/fryR4RCMsOaIAuIW5NMjmJOBwqHZhgJUSmgFxKzkrvKC13XG4oWAV6i6nkm4uqV8lweGNNikpCTFz99++23MmTMHFy5cwL333otQKISzZ8+iZ8+eGDt2LP7jP/4DvXpdX7/p4sWL+Ld/+ze8//77uHDhAsaNG4c33ngjah8tSIM1h905olaQNT0WF4caslYXmasazMlgCrDEwjMIFomVPNpY3FDxpMXyjVWagb+Cm7th/lj7c7RZoFJZggmnckStYMWsjs0tjTSlzUb7RZnjVvNo3WZWR6IX2HJTzqsStga5CO9SNDwHR880MwUaSvadRM6NnR0JfkUSzMkIn5917DKx2m9sACuYk4GWy1cNHVNUUFB2YdiReWAnLCvEulm4WoE02ATFqPbmVImtErwCRZFmPwBT2qwI14FZzdqNLgKWzmNuHHcspMEShjCqvZVWnUZp1WlXRKutaLSRlOw7GdZw5esyqs0qHcMqZjVrtzVFYc0Ddtu4eUIaLMGtv6lTqAXECnK7MUWtZUrmXcvDLquqxfbDZ7CXIWc2lpcLB3PttRoZBNPKo3VLUxQZVl+/28atBgW5CEuYCbCIiqxbIVIgATB0TbECeXT/TCS3a4M/HlSvl9fCSFkvK7HX58bOWnY3ErcDErCEZayUdrrBdaCEXeWqLLh1jnjCKlzdVgqrBwlYggtW8k/d5jqQ4ZFTCwATB3VHy6Wr2HrojOlj8HYhuAUjgTmvCVeABCwhADPdrgB3a2o8Ol1NvzULOTd2ttwty83zZAQjVoKX3AKRONIPlvA3Zss55bLNUHV91PIobkBtddjCIFspMXAtc2BMbnfLpa5eKG/VY+2eambhOm90X08KVyuQBkvoYsbEHpvbLarsU68JixPBmtjzGtHE5NxNM2W3kXi1nyvA7m91uu8wD8hFQNiCFRNbqZQzVqg5bTazXt8jw9Iwvm8KvqlrxaLSurjtj475Lv7/sv/LdE43l7iqYaSvhRevLxYqNCBswWwSPAB8sPUrSHnXH85v6lqxelu0cFq97Qgm5QWifpB2aris1/fvi1/AM5VbkD5qFm64c3bc9tPffot7c1PwcVWz7jm90s81soKOVbj6qTOWGUiDJUxjVJs9u/09NOz8IPz/lLyxyJy6MG6/yNJJVg1XhBDWur6lBV0xoGsHFFc24sMD8UJUvtYOPQeg/Y3fAdq0ReYPFyie54mCfnhyQi6XMfOEtchBCbdmlJiFNFjCdtS0vcJgFtaF4jWc1S88jgFdnw7/f9ORZrxRHr+A5eEjR7EXtcwarig3g9r1zRvdFzMnXDt+UmY9PjwQX8wQe60A8Os/12Nb9cW4fcfkdrc8Vt5YyR+eN7qvK18YTkAaLMEFvYCRUknkur0n8NRHX8Ud68ynr6JZw/yeMSgFM//palDzgcb6/axquFrfZ7lWmVjfpZtKRa020fFDMEsNCnIRrkNPqKmV54bN7/1N+PDgubjtka4Gnm4GKxgR4E5lTWjBo+LND8EsNchFQLiOyK5Xattj+5/Gmd8Htc1vXm4Gqyhdq5Iglf26gP1dpNQEO+tChFokejBLDRKwhKPErrwa+SPVE8AAcAwngPJ4N4Mc5VfTcI+eaRYqEJS0ZgBRn60oPWxbWpqWFn/0jH6mQyzzRvfFxEF8G9n4EXIREK5Hy6TWczOoabhyHqsI1PzCaog2rc3OUSx+7aPAArkICN+i5WrQ03L1NFwRqAXn1IjND+ZN8X7lPr9zX3wNDTs/UNXyI0nEMlcekAZL+AIt/6KW9iYCteCcGrH5wbzRy8ZQ07gTWWONhTRYIqFR03JZ/Li8UQvOqaGUM8sTNQE6a/QQBHMyMBTAscvxqWaksVqHBCzhe7QCaSJQE+qShLhovWhhD0BVgEbOg91zlCiQi4AgBKGXpmV3Kakb82+9AhUaEARBCIIabhMEQbgMErAEQRCCIAFLEAQhCBKwBEEQgiABSxAEIQgSsARBEIIgAUsQBCEIErAEQRCCIAFLEAQhCBKwBEEQgiABSxAEIQgSsARBEIIgAUsQBCEIErAEQRCCIAFLEAQhCBKwBEEQgiABSxAEIQgSsARBEIIgAUsQBCEIErAEQRCCIAFLEAQhCBKwBEEQgiABSxAEIQgSsARBEIIgAUsQBCEIErAEQRCCaOf0AMwgSRIAoLGx0eGREASRCMiyRpY9rHhSwDY1NQEAevXq5fBICIJIJJqampCens68f5JkVCS7gKtXr+LkyZNITU1FUlKS08NBY2MjevXqhePHjyMtLc3p4XgOmj/z0NxZg3X+JElCU1MTsrKy0KYNu2fVkxpsmzZtkJ2d7fQw4khLS6OH3AI0f+ahubMGy/wZ0VxlKMhFEAQhCBKwBEEQgiABy4Hk5GS88MILSE5OdnoonoTmzzw0d9YQPX+eDHIRBEF4AdJgCYIgBEECliAIQhAkYAmCIARBApYgCEIQJGAZWbx4MZKSkqL+AoFAeLskSVi8eDGysrLQqVMnjBkzBpWVlQ6O2Fm2bduGqVOnIisrC0lJSfj444+jtrPMV0tLC+bPn4/MzEykpKTgnnvuwYkTJ2y8CufQm785c+bEPY933HFH1D6JOn9LlizB8OHDkZqaiu7du+Pee+9FVVVV1D52PX8kYA2Ql5eHU6dOhf8qKirC21555RUsW7YMr7/+Ovbs2YNAIIAJEyaE+yYkGs3NzRgyZAhef/11xe0s87VgwQKUlJSguLgYO3bswLlz5zBlyhRcuXLFrstwDL35A4C777476nn8/PPPo7Yn6vxt3boVjz76KHbv3o2NGzfi8uXLmDhxIpqbm8P72Pb8SQQTL7zwgjRkyBDFbVevXpUCgYC0dOnS8GcXL16U0tPTpdWrV9s0QvcCQCopKQn/n2W+zp49K7Vv314qLi4O7/P3v/9datOmjfTFF1/YNnY3EDt/kiRJDz74oDRt2jTV79D8Xae2tlYCIG3dulWSJHufP9JgDXDo0CFkZWWhT58+mDlzJo4cOQIAOHr0KGpqajBx4sTwvsnJyRg9ejR27drl1HBdC8t8lZeX49KlS1H7ZGVlIT8/n+b0n5SVlaF79+4YMGAAHn74YdTW1oa30fxdp6GhAQBw4403ArD3+SMBy8jtt9+O3/3ud9iwYQN++9vfoqamBiNHjkRdXR1qamoAAD169Ij6To8ePcLbiOuwzFdNTQ06dOiAjIwM1X0SmcmTJ+O9995DaWkpXn31VezZswcFBQVoaWkBQPMnI0kSnnrqKXz/+99Hfn4+AHufP09203KCyZMnh/89ePBgjBgxAt/97nfx7rvvhoMLsa0TJUlyRTtFt2JmvmhOr1FUVBT+d35+Pm677Tb07t0bn332GQoLC1W/l2jz99hjj+Gvf/0rduzYEbfNjuePNFiTpKSkYPDgwTh06FA4myD2zVZbWxv3liTANF+BQACtra2or69X3Ye4Ts+ePdG7d28cOnQIAM0fAMyfPx+ffPIJtmzZEtXe1M7njwSsSVpaWnDw4EH07NkTffr0QSAQwMaNG8PbW1tbsXXrVowcOdLBUboTlvkaNmwY2rdvH7XPqVOnsH//fppTBerq6nD8+HH07NkTQGLPnyRJeOyxx7Bu3TqUlpaiT58+Udttff4sBugShoULF0plZWXSkSNHpN27d0tTpkyRUlNTpWPHjkmSJElLly6V0tPTpXXr1kkVFRXSrFmzpJ49e0qNjY0Oj9wZmpqapFAoJIVCIQmAtGzZMikUCkl/+9vfJElim6+5c+dK2dnZ0qZNm6S9e/dKBQUF0pAhQ6TLly87dVm2oTV/TU1N0sKFC6Vdu3ZJR48elbZs2SKNGDFC+s53vkPzJ0nSvHnzpPT0dKmsrEw6depU+O/8+fPhfex6/kjAMlJUVCT17NlTat++vZSVlSUVFhZKlZWV4e1Xr16VXnjhBSkQCEjJycnSXXfdJVVUVDg4YmfZsmWLBCDu78EHH5QkiW2+Lly4ID322GPSjTfeKHXq1EmaMmWKVF1d7cDV2I/W/J0/f16aOHGi1K1bN6l9+/ZSTk6O9OCDD8bNTaLOn9K8AZDefvvt8D52PX/UrpAgCEIQ5IMlCIIQBAlYgiAIQZCAJQiCEAQJWIIgCEGQgCUIghAECViCIAhBkIAlCIIQBAlYgiAIQZCAJQiCEAQJWIIgCEGQgCUIghAECViCIAhB/D/YIu0W0uLDIwAAAABJRU5ErkJggg==", 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", 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", + "image/png": 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", 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      " ] @@ -169,7 +169,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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      " ] @@ -255,7 +255,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 8, @@ -264,7 +264,7 @@ }, { "data": { - "image/png": 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", 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      " ] @@ -305,7 +305,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 14, "id": "551aa2fd", "metadata": {}, "outputs": [ @@ -315,15 +315,15 @@ "Text(0.5, 1.0, \"MDS of Matisse's Leaves via ECT distances\")" ] }, - "execution_count": 10, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ - "
      " + "
      " ] }, "metadata": {}, @@ -335,7 +335,7 @@ "col_df = pd.read_csv(\"doc_source/notebooks/Matisse/colors.csv\", header=None) \n", "\n", "scale_val = 6 # set scale value\n", - "plt.figure(figsize=(8,8)) # set figure dimensions\n", + "plt.figure(figsize=(5,5)) # set figure dimensions\n", "\n", "for i in range(len(file_names)): # for each leaf\n", " shape = np.loadtxt(data_dir+file_names[i]) # get the current shape\n", @@ -347,7 +347,8 @@ " plt.fill(trans_sh[:,0], trans_sh[:,1], c=col_df[0][i], lw=0) # plot shape\n", " plt.gca().set_aspect(\"equal\")\n", "\n", - "plt.title(\"MDS of Matisse's Leaves via ECT distances\")" + "plt.title(\"MDS of Matisse's Leaves via ECT distances\")\n", + "# plt.savefig(\"Matisse_MDS.png\", bbox_inches = 'tight', dpi=300) " ] }, { @@ -377,7 +378,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.9" + "version": "3.11.7" } }, "nbformat": 4, diff --git a/docs/notebooks/Tutorial-ECT_for_CW_Complexes.html b/docs/notebooks/Tutorial-ECT_for_CW_Complexes.html index 5bea4e2..69e292d 100644 --- a/docs/notebooks/Tutorial-ECT_for_CW_Complexes.html +++ b/docs/notebooks/Tutorial-ECT_for_CW_Complexes.html @@ -86,6 +86,7 @@
    • 3.3.1. Acknowledgements
  48. +
  49. 3.4. Tutorial for exact ECT computation
  50. 4. Contributing
      diff --git a/docs/notebooks/Tutorial-ECT_for_embedded_graphs.html b/docs/notebooks/Tutorial-ECT_for_embedded_graphs.html index cb1c53f..c400723 100644 --- a/docs/notebooks/Tutorial-ECT_for_embedded_graphs.html +++ b/docs/notebooks/Tutorial-ECT_for_embedded_graphs.html @@ -86,6 +86,7 @@
    • 3.3.1. Acknowledgements
  51. +
  52. 3.4. Tutorial for exact ECT computation
  53. 4. Contributing
      diff --git a/docs/notebooks/Tutorial-ExactECT.html b/docs/notebooks/Tutorial-ExactECT.html new file mode 100644 index 0000000..720f39c --- /dev/null +++ b/docs/notebooks/Tutorial-ExactECT.html @@ -0,0 +1,297 @@ + + + + + + + + + 3.4. Tutorial for exact ECT computation — ect 0.1.5 documentation + + + + + + + + + + + + + + + + + + + + + + + +
      + + +
      + +
      + +
      +
      +
      + + + + + + + \ No newline at end of file diff --git a/docs/notebooks/Tutorial-ExactECT.ipynb b/docs/notebooks/Tutorial-ExactECT.ipynb new file mode 100644 index 0000000..f5f05fc --- /dev/null +++ b/docs/notebooks/Tutorial-ExactECT.ipynb @@ -0,0 +1,185 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Tutorial for exact ECT computation \n", + "\n", + "*Warning: This is a work in progress. Proceed at your own risk.*\n", + "\n", + "The goal of this section is so show available tools for exact computation of the ECT. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from ect import ECT, EmbeddedGraph, EmbeddedCW,create_example_graph\n", + "\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.patches import Circle\n", + "import numpy as np\n", + "import networkx as nx" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use the `EmbeddedGraph` class to find the angle normal to any pair of vertices in the graph, whether or not there is a connecting edge. Setting `angle_labels_circle=True` in the plotting command will try to draw these on the circle. Note that this doesn't tend to do well for large inputs, but can be helpful for small examples. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
      " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "G = create_example_graph(centered=True)\n", + "G.rescale_to_unit_disk()\n", + "\n", + "fig, ax = plt.subplots()\n", + "G.plot(ax = ax, angle_labels_circle=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can extract the information directly for use in computation. " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ nan -0.78539816 -0.67474094 -0.46364761 -1.24904577 -0.78539816]\n", + " [ 2.35619449 nan -0.5880026 0. -2.35619449 -0.78539816]\n", + " [ 2.46685171 2.55359005 nan 2.03444394 2.89661399 2.67794504]\n", + " [ 2.67794504 3.14159265 -1.10714872 nan -2.8198421 -2.35619449]\n", + " [ 1.89254688 0.78539816 -0.24497866 0.32175055 nan 0. ]\n", + " [ 2.35619449 2.35619449 -0.46364761 0.78539816 3.14159265 nan]]\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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      " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# If return type is `matrix`, the function returns the matrix of angles and the labels of the angles in the order of the rows/columns in the matrix \n", + "M,Labels = G.get_all_angles(returntype='matrix')\n", + "print(M)\n", + "\n", + "plt.matshow(M)\n", + "plt.xticks(range(len(Labels)), Labels)\n", + "plt.yticks(range(len(Labels)), Labels)\n", + "plt.colorbar()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This can also be returned as a dictionary, with keys given by angles (note the negative angle is not repeated), and value a list of the pairs of vertices associated. Note that in the case of more than one pair of vertices having the same normal angle, it is given as a list of all pairs. " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{-0.7853981633974483: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " -0.6747409422235526: [('A', 'C')],\n", + " -0.4636476090008061: [('A', 'D')],\n", + " -1.2490457723982544: [('A', 'E')],\n", + " -0.5880026035475675: [('B', 'C')],\n", + " 0.0: [('B', 'D'), ('E', 'F')],\n", + " -2.356194490192345: [('B', 'E'), ('D', 'F')],\n", + " 2.0344439357957027: [('C', 'D')],\n", + " 2.896613990462929: [('C', 'E')],\n", + " 2.677945044588987: [('C', 'F')],\n", + " -2.819842099193151: [('D', 'E')]}" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "angles_dict = G.get_all_angles(returntype='dict')\n", + "angles_dict" + ] + } + ], + "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": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/objects.inv b/docs/objects.inv index e5cbc201577be3a8fe70e8abd65319c20231289a..e338821ea1878cc68269aee94826b50ba99800c9 100644 GIT binary patch delta 2288 zcmVwk8i9|1N!vy=;HzhHt`pIg z{tD6$NVmJX$qvjG)&<7kcbloz<|@ytrXqRH9V7DGmOj?7s9|3h1l?p=G{PYg;V~HE zgh(D`9Ot?#%BshC(UduP?ht+sgSyl$3AYTML1BCdHx3^>OeqKNsqLGxYEE(#oq^6z zsLbK3x!|PGzSdOZ4f{}{GW%w%IKy_uXkp2dSOI5$!Nj7;rLq$YA1E9RMib~m_9=&L z+tDOSgL)UpqOR#~cB=P58#4S;`?f2dZN~_Mgs35?+YgClkA0_PXE;nxUHg)(+gH@> z6V(lRBl%y5X7;8yM`wYB?a2#+9_rYD<)qDfmUGJrzrO`xf+1j&)5UOLm>n=CIKRP)(6n~dVFEBIuj}Fo)gb*HNI6pk8UL*7CgS6w ziE1A#+lF-2Q@`L#ZxtRj2_P*X&xjq&!9xLGiW8axCXnvADJJjq3`C!a(qr453u56o zb+uxcvEu-50kj2-Emrpptb5Exdeh&anGGL5?TCXQJ@r+I>Z+lku?=rEGe-1wkZ(CA zZA!;JrDLC7#MpZgu$cQ#ZP~*9OfyWu0@-6I7VSRk4dApk7Q*Vdo2?{NVDEnF$w9JR=puyVPI2V$*^LxuqWv8GG|0M8M$3qCr%eet1jFi zT$DD+saXwSWxnlNZS~`^n%G?l*)sf^nkU8awOS0v5yeq2fF*xt7fX_ZxTytDY{dOv z97PV|rWQz1zG>WlgQ$e^QT8OQUTDU!RTxfMVf^Hs{thf9l83G@WAoi<6lD|2M>&AB z@rpK)b+lTf9G|VidOMCXjuLDuM zFR<8^`}9?`w?#l7EH8m$yJ3M0G4kw;Ui=W#10Ba%)069eq`D%8?gYw5*^~6r1GY2O z$&>byiYF~=T}TW~E1cy_<$a*MQJG`m%+ni9RuE0~0sU&K*} zYj8usI*>ho7hM5qR;e(h3JzV-U{*y$)xpC%d1iG#17K40RMO!k;GzAK_^X?;f(+^? 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    • 3.3.1. Acknowledgements
  54. +
  55. 3.4. Tutorial for exact ECT computation
  56. 4. Contributing
      diff --git a/docs/search.html b/docs/search.html index 4a2d477..f669d22 100644 --- a/docs/search.html +++ b/docs/search.html @@ -83,6 +83,7 @@
    • 3.3.1. Acknowledgements
  57. +
  58. 3.4. Tutorial for exact ECT computation
  59. 4. Contributing
      diff --git a/docs/searchindex.js b/docs/searchindex.js index 9bb854c..3332a99 100644 --- a/docs/searchindex.js +++ b/docs/searchindex.js @@ -1 +1 @@ -Search.setIndex({"alltitles": {"Acknowledgements": [[10, "Acknowledgements"]], "Authors": [[5, "authors"]], "Citing": [[0, "citing"]], "Code style and formatting": [[1, "code-style-and-formatting"]], "Computing the ECT of G": [[12, "Computing-the-ECT-of-G"]], "Conclusion": [[1, "conclusion"]], "Constructing the embedded graph": [[12, "Constructing-the-embedded-graph"]], "Contact Information": [[5, "contact-information"]], "Contents:": [[5, null], [13, null]], "Contributing Guidelines": [[1, "contributing-guidelines"]], "Contributing to the ect Package": [[1, "contributing-to-the-ect-package"]], "Dependencies": [[5, "dependencies"]], "Description": [[5, "description"]], "Documentation and tutorials": [[5, "documentation-and-tutorials"]], "Documentation guidelines": [[1, "documentation-guidelines"]], "ECC in one direction": [[9, "ECC-in-one-direction"]], "ECT": [[9, "ECT"]], "ECT on Graphs": [[2, "module-ect.ect_graph"]], "ECT on Matisse\u2019s \u201cThe Parakeet and the Mermaid\u201d": [[10, "ECT-on-Matisse's-%22The-Parakeet-and-the-Mermaid%22"]], "Embedded CW complex": [[3, "module-ect.embed_cw"]], "Embedded graphs": [[4, "module-ect.embed_graph"]], "Erik\u2019s version": [[9, "Erik's-version"]], "Figure generation for Invitation to the ECT": [[9, "Figure-generation-for-Invitation-to-the-ECT"]], "GPL-3.0 License": [[7, "gpl-3-0-license"]], "Getting Started": [[1, "getting-started"], [5, "getting-started"]], "Installation": [[6, "installation"]], "Installing": [[5, "installing"]], "Installing ect": [[6, "installing-ect"]], "Issue tracking and pull requests": [[1, "issue-tracking-and-pull-requests"]], "Let\u2019s draw a cylinder!": [[9, "Let's-draw-a-cylinder!"]], "License": [[5, "license"]], "Making pictures": [[9, "Making-pictures"]], "Prerequisites": [[6, "prerequisites"]], "SECT": [[9, "SECT"], [12, 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Tutorials"], "titleterms": {"": [9, 10], "0": 7, "3": 7, "The": 10, "acknowledg": 10, "author": 5, "characterist": 5, "cite": 0, "code": 1, "complex": [3, 11], "comput": [12, 13], "conclus": 1, "construct": 12, "contact": 5, "content": [5, 8, 14], "contribut": 1, "cw": [3, 11], "cylind": 9, "depend": 5, "descript": 5, "direct": 9, "document": [1, 5], "draw": 9, "ecc": 9, "ect": [1, 2, 5, 6, 9, 10, 11, 12, 13], "embed": [3, 4, 12], "erik": 9, "euler": 5, "exact": 13, "figur": 9, "format": 1, "g": 12, "gener": 9, "get": [1, 5], "gpl": 7, "graph": [2, 4, 12], "guidelin": 1, "inform": 5, "instal": [5, 6], "invit": 9, "issu": 1, "let": 9, "licens": [5, 7], "make": 9, "matiss": 10, "mermaid": 10, "one": 9, "packag": 1, "parakeet": 10, "pictur": 9, "prerequisit": 6, "pull": 1, "python": 5, "request": 1, "sect": [9, 12], "start": [1, 5], "stuff": 9, "style": 1, "tabl": [5, 8], "test": 1, "threshold": 9, "track": 1, "transform": 5, "try": 9, "tutori": [5, 11, 12, 13, 14], "uninstal": 6, "version": 9}}) \ No newline at end of file diff --git a/docs/tutorials.html b/docs/tutorials.html index fcd47cd..7ce2c98 100644 --- a/docs/tutorials.html +++ b/docs/tutorials.html @@ -85,6 +85,7 @@
    • 3.3.1. Acknowledgements
  60. +
  61. 3.4. Tutorial for exact ECT computation
  62. 4. Contributing
  63. +
  64. 3.4. Tutorial for exact ECT computation
  65. diff --git a/ect/ect/ect_graph.py b/ect/ect/ect_graph.py index 897eb58..3c21945 100644 --- a/ect/ect/ect_graph.py +++ b/ect/ect/ect_graph.py @@ -118,13 +118,13 @@ def get_SECT(self): def calculateECC(self, G, theta, bound_radius=None, return_counts=False): """ Function to compute the Euler Characteristic Curve (ECC) of an `EmbeddedGraph`. - + Parameters: G (nx.Graph): The graph to compute the ECC for. theta (float): The angle (in radians) for the direction function. bound_radius (float, optional): Radius for threshold range. Default is None. return_counts (bool, optional): Whether to return vertex, edge, and face counts. Default is False. - + Returns: numpy.ndarray: ECC values at each threshold. (Optional) Tuple of counts: (ecc, vertex_count, edge_count, face_count) @@ -149,7 +149,8 @@ def calculateECC(self, G, theta, bound_radius=None, return_counts=False): f_list, g_f = G.sort_faces(theta, return_g=True) g_f_list = np.array([g_f[f] for f in f_list]) sorted_g_f_list = np.sort(g_f_list) - face_count = np.searchsorted(sorted_g_f_list, r_threshes, side='right') + face_count = np.searchsorted( + sorted_g_f_list, r_threshes, side='right') else: face_count = np.zeros_like(r_threshes, dtype=np.int32) diff --git a/ect/ect/embed_graph.py b/ect/ect/embed_graph.py index 1768eb3..6c15a17 100644 --- a/ect/ect/embed_graph.py +++ b/ect/ect/embed_graph.py @@ -331,12 +331,12 @@ def set_PCA_coordinates(self, center_type=None, scale_radius=None): def g_omega(self, theta): """ - Function to compute the function :math:`g_\omega(v)` for all vertices :math:`v` in the graph in the direction of :math:`\\theta \in [0,2\pi]` . This function is defined by :math:`g_\omega(v) = \langle \\texttt{pos}(v), \omega \\rangle` . + Function to compute the function :math:`g_\\omega(v)` for all vertices :math:`v` in the graph in the direction of :math:`\\theta \\in [0,2\\pi]` . This function is defined by :math:`g_\\omega(v) = \\langle \\texttt{pos}(v), \\omega \\rangle` . Parameters: theta (float): - The angle in :math:`[0,2\pi]` for the direction to compute the :math:`g(v)` values. + The angle in :math:`[0,2\\pi]` for the direction to compute the :math:`g(v)` values. Returns: @@ -374,15 +374,15 @@ def g_omega_edges(self, theta): def sort_vertices(self, theta, return_g=False): """ - Function to sort the vertices of the graph according to the function g_omega(v) in the direction of theta \in [0,2*np.pi]. + Function to sort the vertices of the graph according to the function `g_omega(v)` in the direction of :math:`\\theta \\in [0,2\\pi]`. TODO: eventually, do we want this to return a sorted list of g values as well? Since we're already doing the sorting work, it might be helpful. Parameters: theta (float): - The angle in [0,2*np.pi] for the direction to sort the vertices. + The angle in :math:`[0,2 \\pi]` for the direction to sort the vertices. return_g (bool): - Whether to return the g(v) values along with the sorted vertices. + Whether to return the :math:`g(v)` values along with the sorted vertices. Returns: list @@ -406,13 +406,13 @@ def sort_edges(self, theta, return_g=False): .. math :: - g_\omega(e) = \max \{ g_\omega(v) \mid v \in e \} + g_\\omega(e) = \max \{ g_\\omega(v) \mid v \in e \} - in the direction of :math:`\\theta \in [0,2\pi]` . + in the direction of :math:`\\theta \in [0,2\\pi]` . Parameters: theta (float): - The angle in :math:`[0,2\pi]` for the direction to sort the edges. + The angle in :math:`[0,2\\pi]` for the direction to sort the edges. return_g (bool): Whether to return the :math:`g(v)` values along with the sorted edges. @@ -450,22 +450,73 @@ def lower_edges(self, v, omega): Lg = [np.dot(self.coordinates[v], omega) for v in L] return sum(n >= gv for n in Lg) # includes possible duplicate counts + def get_all_angles(self, returntype='matrix'): + """ + Function to get all angles of normals to any line between veritces in the graph. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order. + + Parameters: + returntype (str): + The return type of the angles. Options are 'matrix' or 'dict'. If 'matrix', returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If 'dict', returns a dictionary of angles with `dict['A','B']` returning the angle normal to the vector :math:`\\overrightarrow{AB}`. + + Returns: + list: A list of angles of the vertices in the graph. + + """ + P = np.array(list(self.coordinates.values())) + labels = list(self.coordinates.keys()) + + # Make rows of repeated copies of first column of P + X_Cols = np.tile(P[:, 0], (P.shape[0], 1)).T + X_diff = X_Cols - X_Cols.T # The x value of the vector from A to B + + # Make rows of repeated copies of second column of P + Y_Cols = np.tile(P[:, 1], (P.shape[0], 1)).T + Y_diff = Y_Cols - Y_Cols.T + + # Convert to float to allow NaN assignment + X_diff = X_diff.astype(float) + Y_diff = Y_diff.astype(float) + + # Set diagonals to nan + np.fill_diagonal(X_diff, np.nan) + np.fill_diagonal(Y_diff, np.nan) + + angle_matrix = np.arctan2(X_diff, -Y_diff) + if returntype == 'matrix': + return angle_matrix, labels + elif returntype == 'dict': + angle_dict = {} + for i in range(len(labels)): + for j in range(i+1, len(labels)): + if angle_matrix[i, j] not in angle_dict.keys(): + angle_dict[angle_matrix[i, j]] = [ + (labels[i], labels[j])] + else: + angle_dict[angle_matrix[i, j]].append( + (labels[i], labels[j])) + return angle_dict + def plot(self, bounding_circle=False, bounding_center_type='origin', color_nodes_theta=None, ax=None, with_labels=True, + angle_labels_circle=False, **kwargs): """ Function to plot the graph with the embedded coordinates. If ``bounding_circle`` is True, a bounding circle is drawn around the graph. This is centered at the center type defined by ``bounding_center_type``. - If ``color_nodes_theta`` is not None, it should be given as a theta in :math:`[0,2\pi]`. Then the nodes are colored according to the :math:`g(v)` values in the direction of theta. + If ``color_nodes_theta`` is not None, it should be given as a theta in :math:`[0,2\\pi]`. Then the nodes are colored according to the :math:`g(v)` values in the direction of theta. If with_labels is True, the nodes are labeled with their names. + If ``ax`` is not None, the plot is drawn on the given axis. + + If `angle_labels_circle` is True, the angles of the normals to the lines between vertices are plotted on a slightly larger circle circle around the graph. + """ if ax is None: fig, ax = plt.subplots() @@ -504,6 +555,41 @@ def plot(self, ax.set_ylim(circle_center[1] - r, circle_center[1] + r) ax.set_aspect('equal', 'box') + if angle_labels_circle: + circle_center = self.get_center(type='min_max') + r = 1.3 * self.get_bounding_radius(type='min_max') + circle = plt.Circle(circle_center, r, fill=False, + linestyle='--', color='black') + ax.add_patch(circle) + + # Get all the angles with the labels to be drawn + angles_dict = self.get_all_angles(returntype='dict') + angles_dict_labels = {key: ', '.join( + [f"{a[0]}{a[1]}" for a in value]) for key, value in angles_dict.items()} + + # Draw hash marks on the circle + hash_length = 0.1*r # Length of the hash marks + for theta in angles_dict_labels.keys(): + for angle in [theta, -theta]: + x_start = (r-hash_length) * np.cos(angle) + y_start = (r-hash_length) * np.sin(angle) + x_end = (r + hash_length) * np.cos(angle) + y_end = (r + hash_length) * np.sin(angle) + ax.plot([x_start, x_end], [y_start, y_end], color='black') + + # Add labels near the hash marks + scaling = 3 + label_x = (r + scaling * hash_length) * np.cos(angle) + label_y = (r + scaling * hash_length) * np.sin(angle) + ax.text(label_x, label_y, + angles_dict_labels[theta], ha='center', va='center') + # Always adjust the plot limits to show the full graph + scale_factor = 1.5 + ax.set_xlim(circle_center[0] - scale_factor*r, + circle_center[0] + scale_factor*r) + ax.set_ylim(circle_center[1] - scale_factor*r, + circle_center[1] + scale_factor*r) + return ax def rescale_to_unit_disk(self, preserve_center=True, center_type='origin'): diff --git a/tests/test_embed_graph.py b/tests/test_embed_graph.py index 41320f5..1b0f942 100644 --- a/tests/test_embed_graph.py +++ b/tests/test_embed_graph.py @@ -97,6 +97,12 @@ def test_add_cycle(self): self.assertEqual( len(G.nodes), num_verts + verts_to_add) self.assertEqual( len(G.edges), num_edges + verts_to_add) + def test_get_angles(self): + # Make sure we can get the angles of the vertices + G = embed_graph.create_example_graph(centered=False) + M,L = G.get_all_angles(returntype = 'matrix') + self.assertEqual( M.shape, (6, 6)) + if __name__ == '__main__': From 412c346f5ea492b7efa169eae3b2218078973cd5 Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Sat, 18 Jan 2025 06:26:09 -0500 Subject: [PATCH 10/14] Removing the paper from this branch since we don't want it in the main yet --- .github/workflows/draft-pdf.yml | 23 - paper/figures/Matisse_MDS.png | Bin 157243 -> 0 bytes paper/figures/example_ect.png | Bin 63230 -> 0 bytes paper/figures/example_graph.png | Bin 37355 -> 0 bytes paper/figures/example_graph_7pi_over_4.png | Bin 66193 -> 0 bytes paper/figures/example_graph_pi_over_2.png | Bin 58525 -> 0 bytes paper/generating_figures.ipynb | 339 ------------ paper/paper.bib | 611 --------------------- paper/paper.md | 125 ----- 9 files changed, 1098 deletions(-) delete mode 100644 .github/workflows/draft-pdf.yml delete mode 100644 paper/figures/Matisse_MDS.png delete mode 100644 paper/figures/example_ect.png delete mode 100644 paper/figures/example_graph.png delete mode 100644 paper/figures/example_graph_7pi_over_4.png delete mode 100644 paper/figures/example_graph_pi_over_2.png delete mode 100644 paper/generating_figures.ipynb delete mode 100644 paper/paper.bib delete mode 100644 paper/paper.md diff --git a/.github/workflows/draft-pdf.yml b/.github/workflows/draft-pdf.yml deleted file mode 100644 index c4f5f2f..0000000 --- a/.github/workflows/draft-pdf.yml +++ /dev/null @@ -1,23 +0,0 @@ -on: [push] - -jobs: - paper: - runs-on: ubuntu-latest - name: Paper Draft - steps: - - name: Checkout - uses: actions/checkout@v4 - - name: Build draft PDF - uses: openjournals/openjournals-draft-action@master - with: - journal: joss - # This should be the path to the paper within your repo. - paper-path: paper/paper.md - - name: Upload - uses: actions/upload-artifact@v4 - with: - name: paper - # This is the output path where Pandoc will write the compiled - # PDF. 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create_example_graph()\n", - "\n", - "G = EmbeddedGraph()\n", - "\n", - "G.add_node('A', 1, 2)\n", - "G.add_node('B', 3, 4)\n", - "G.add_node('C', 5, 7)\n", - "G.add_node('D', 3, 6)\n", - "G.add_node('E', 4, 3)\n", - "G.add_node('F', 4, 5)\n", - "\n", - "G.add_edge('A', 'B')\n", - "G.add_edge('B', 'C')\n", - "G.add_edge('B', 'D')\n", - "G.add_edge('B', 'E')\n", - "G.add_edge('C', 'D')\n", - "G.add_edge('E', 'F')\n", - "\n", - "G.set_centered_coordinates()\n", - "\n", - "G.plot()\n", - "plt.savefig('paper/figures/example_graph.png', bbox_inches='tight', dpi=300)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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btmxBr169MGHCBLRv3x5FRUXIyMjAxo0bUVRUhIsXL6JJkya48847kZKSgtDQUGzcuBF79+7FO++8U2e7+/fvjzfeeAM5OTlmQTVgwAAsXLgQzZs3R5MmTeo8TmpqKgDgxRdfxD333AN/f3+zgLFHVFQUhg4dikWLFsHPzw+dO3fGxo0bkZ6eDuDK9S9ZlrF48WKsWLECwOUBBX5+foiPj4dWq3VoSjRX/fzGxMRg5MiReO+99xAcHIyIiAjMnTsXjRs3xrx582rd15nXwFasWIHq6upab14+ePBgjbDKy8tDcHAwLly4gAYNGuDEiRM4cuQIPvjgA9M2UVFRGDlyZI3jGXtcSu+RG7hzCKStfvvtNzFhwgTRvHlzERAQIMLCwkS/fv3EvHnzREVFhWm7jIwMMWTIEBEaGiqCg4PFoEGDxM6dO82OpTS82tp9jcOQCwsLa7SxtmH0126vtO2mTZtE165dRUBAgGjRooX48MMPxdSpU0VgYGCdXx9bzmPN5zTatm2bSE1NFQEBASI5OVksWLDAdK6r5efni4kTJ4rExETh7+8v4uLixA033CAWLVokhBBCr9eLZ599VqSkpIiwsDAREhIiUlJSLA5/vlZJSYnQarUiLCxMVFdXm9b/97//FQDE3//+9xr7WPo+v/7666Jx48ZCo9GY3rfl66ckPz9fjBw5UoSHh4v4+Hjx5JNPim+++UYAED///LMQ4vJQ++DgYFFVVSWEEOKuu+4SS5cuFUIIsX79ehEVFVXn18HSMHohHP/5tVZRUZG4/fbbRUhIiIiNjRWTJ08WJSUldh/PHr179xYxMTFmPwtX0+v1ws/PT7zwwgtm68ePHy90Op24/fbbhRBXhsobvye14TB6zyIJodKVfXKakSNH4tChQ4rXosizTZo0CStWrMDZs2fh5+eHb7/9Fk8//TSys7NRVVWFxo0b49NPP8WQIUPw4osvIisry9Q7I9cYPnw4QkND8fnnn7u7KWQjrygh1ieXLl0yGx12/PhxrFmzxuLoPvIMer0eAQEBZteutm/fjoULF2LatGnw87v8T61BgwbIy8tDXl4e/vvf/yIqKgqHDx9GcnIyFi1ahFWrVrnrI9RbAwcOtOraKXke9sA8THx8PMaOHYvk5GScOnUKH3zwAfR6Pfbt26d4PxZ5hm+//RavvfYa7rzzTjRo0AAZGRn4+OOP0bVrV2zbts30R0lVVRXuvfderF+/HkOHDsULL7yAm2++GVqtFjNmzKh1GiwiMscA8zDjxo3Dli1bkJeXB51Ohz59+uDNN9+0OE8geYYdO3bgueeew+HDh1FeXo7mzZvjrrvuwvTp0/kIDiKVMMCIiMgrqToX4gcffIDOnTsjPDwc4eHh6NOnj1PvaSIiovpL1R7Yd999B61Wi1atWkEIgaVLl2LWrFnYt2+f4nyERERE1nJ5CTEyMhKzZs3C+PHj69xWlmWcOXMGYWFhqkz/Q0RkLyEELl68iISEBKueW2aviooKVFZWOnycgIAABAYGOqFFnsNlw+gNBgO++OILlJWVWZzPUK/Xm00plJubi/bt27uqiURENsvJybFqBhh7VFRUIKlZKPIKDA4fKy4uDidOnPCpEFM9wA4cOIA+ffqgoqICoaGh+OabbyyGUlpaWo1nKQGXf0DUnIeQiMhWJSUlSExMtOpZhfaqrKxEXoEBJ9KbITzM/l5eyUUZSamnUFlZ6VMBpnoJsbKyEqdPn0ZxcTG+/PJLfPjhh9i2bZtiiF3bAzP+gBQXFzPAiMijlJSUICIiQtXfT8ZznP8tyeEAa9T6hM/9LlW9BxYQEGB6IGNqair27t2L9957DwsXLqyxrU6ng06nU7tJRERexSBkGBzoahiE7LzGeBCXTyUly7JVj84gIqLLZAjIsD/BHNnXk6kaYNOnT8ewYcPQtGlTXLx4EcuXL8fWrVvNniVFRES1kyHDkT6UY3t7LlUDrKCgAKNHj8bZs2cRERGBzp0744cffsCNN96o5mmJiKgeUDXAPvroIzUPT0RULxiEgMGB8XaO7OvJ+DgVIiIPx2tgylSdC5GIiEgt7IEREXk4GQIG9sBqYIAREXk4lhCVsYRIREReiT0wIiIPx1GIyhhgREQeTv5rcWR/X8QSIhEReSX2wIiIPJzBwVGIjuzryRhgREQeziDg4Gz0zmuLJ2GAERF5OF4DU8YAIyKvdrGsAht/PIoDR3Nx6LczKCwqg5BlBOr80bJ5NNq1iseAXq3QoXU8JElyd3PJiRhgROSV/rxQhg8/+wlrtxxCVbUBGkmCQb5SK6uq1mPfoT/w69EzWL5yL1o0i8KDd/fD9b1bubHV9pEhwQD7w1d2YF9PxgAjIq+zeecxvP3BepRfqoT8V2hZutfJYLhcQPv99Dm8+PYqDOrTGlMfGYwG4cEua6+jZHF5cWR/X8Rh9ETkVZZ++TNenv0dysr1pvCyhjHftu0+jgnPLUNeYYlKLSRXYYARkddY8d0v+M/yHQCuBJKtZFmg4FwJJr+0AhdKyp3YOvUY/iohOrL4IpYQicgr/PZ7PuYv3VbrNpdKzyH3+FZcKDiOyooSaDRaBIfHIapxCmKTekOr9QcAGGSB/HMlePc/m/Da1BGuaL5DHA0hBhgRkZtUG2S8/t6aWrcpyjuCY3s+haTxQ0zTVASHxUGIapScP4mTB1ej/GI+Wna907S9LAts/ukYbujX1isHdhADjIi8wM5fsnEi57zF9yvKinBs7zLoghqiY/9HEBAYbnovPrkfLrU7hz/zjtTYT5IkLF6xEwN6tfToIfaykCALB0YhOrCvJ+M1MCLyeF+uzoBGY/mXcO7xLZCr9WjZbZRZeBkFhUYhoWX/GuuFEMg+VYjDx/Oc2l5n4zUwZQwwIvJoZeV67DuYU+uIw6KzRxAYEonwRs1tPr5Wq8H23ccdaCG5C0uIROTRfjtRUOtUtNVVFaisKEZkfAe7jm8wyDhy/Kx9jXMRAzQwONDfMDixLZ6EAUZEHu33U4WQJMvD5g3VFQAArZ/O7nNknSy0e19XEA5eAxO8BkZE5Hrll6qg0Vj+VaX1CwQAGKr1dp+jQl9l976u4OprYNu3b8eIESOQkJAASZKwcuXKWrffunUrJEmqseTlqXttkQFGRB5Nq5Ugarlr2c8/EAGB4Sgvsf+XZW0BWR+VlZUhJSUF8+fPt2m/Y8eO4ezZs6YlJiZGpRZexhIiEXm0mKjwOqeMahjXDvknd6Pk/Em7BnJENwq1s3WuYRAaGIQD18BsnLVk2LBhGDZsmM3niYmJQYMGDWzez178s4OIPFqb5Ng6t2ncaiA02gBk7fsSlRUXa7x/qfQczmT9qLivViOhQ+t4h9upJhkSZGgcWC6XEEtKSswWvd7+squSLl26ID4+HjfeeCN++uknpx5bCQOMiDxa47gGCA8NrHWboNAotO5xH/Rl57Fv4yz8/usq5J3cjbO/78RvvyzHvk2zUX4xX3FfWRbo1LaxGk33OImJiYiIiDAtaWlpTjlufHw8FixYgK+++gpfffUVEhMTMXDgQGRkZDjl+JawhEhEHk2jkdC3WwLWbc8GahmM0Ci+A7rcMAW5x7eh6Owh5J3YBY3GD8Hh8UjqOAKxzXsp7ucf4IfB17VVqfXO4ay5EHNychAefuVGb53O/pGbV2vTpg3atGljet23b19kZ2djzpw5+PTTT51yDiUMMCLyWIcOHcLrr7+OVd+tR7ebptU53VNQaLTZfId10WgkDB/UASHBzvlFrhbHr4FdvggWHh5uFmBq6tmzJ3bs2KHqOVhCJCKPc+jQIdxzzz3o1KkTfv75Z/xr7lsYc2dvOHO6QkkCQoN1eOjefs47KJlkZmYiPl7da4vsgRGRxzD2uD7//HM0bdoUCxcuxJgxYxAQEICqKgN27P0dp/44D4MTHjEsBPD84zd5xZOZLw/icGAyXxv3LS0tRVZWlun1iRMnkJmZicjISDRt2hTTp09Hbm4uPvnkEwDA3LlzkZSUhA4dOqCiogIffvghNm/ejPXr19vdZmswwIjI7WoLLiN/fy1mz7gDj0xfhqI/yxwOsUce6I/re7d2tOkuITs4lZRc62RcNf3yyy8YNGiQ6fWUKVMAAGPGjMGSJUtw9uxZnD592vR+ZWUlpk6ditzcXAQHB6Nz587YuHGj2THUIIna7hB0s5KSEkRERKC4uNhldVsicp1rg+vFF1+sEVzXKjh3EU+8/D/knC22+REoGo0ECcDkcYNw583dHGq7K34/Gc/xxf62CA7T2n2c8osGjEo56nO/S9kDIyKXs6bHZUlUZAjOHFqO0qpYRCT0BIA6b3TWaCTIskBSYiO89OTNaNk82imfw1WcNYjD1zDAiMhlHAkuo/nz5+PH7duwZcsWtOvYDd+u/xUrf9iP4ouXAFzpZclCQIjLA+9TOzbFHTd3Q59uSdBqvW/smvGGZPv3Z4AREdnFGcEFANnZ2Zg2bRomTpyIgQMHAgAm3HcdHrq3H87kF+NoVh4Kzl+EwSAjOCgALZpHo1XzGAQH2XYeT2MQEgwOzCjvyL6ejAFGRKpxVnABgCzLePDBBxEbG4t//vOfZu9JkoTGcQ3QOK6Bk1pO3oABRkRO58zgMpo/fz62b9+OLVu2IDTUsyffdTbHH2jJEiIRUa3UCC5AuXRYn8hCA9mBQRyyjw7i8L6rmUTkca6dOWPhwoX47bffMGHCBIfDq7bSIdVv7IERkd3U6nFdrT6XDo1YQlTGACMim7kiuACWDo1kODaSUHZeUzwKS4hEZDU1S4XXYumQ6sIeGBHVyVU9rquxdHiF4zcy+2ZfhQFGRBa5I7gAlg6v5fhUUr4ZYL75qYjIIa4sFV6LpUOyFntgRGTirh7X1Vg6rMnVzwPzFgwwIvKI4AJYOrSEJURlDDCiesxTggtg6bA2jt8H5psBpuqnSktLQ48ePRAWFoaYmBiMHDkSx44dU/OURGQFd17jssRYOly8eDFLh2QVVQNs27ZtmDhxIn7++Wds2LABVVVVuOmmm1BWVqbmaYnIAk8MLoClw7rIQnJ48UWqlhDXrVtn9nrJkiWIiYlBeno6BgwYoOapiegqnlQqvBZLh3WTHSwh8j4wJyguLgYAREZGKr6v1+uh1+tNr0tKSlzSLiJf5cnBZcRRh2Qvl8WyLMt46qmn0K9fP3Ts2FFxm7S0NERERJiWxMREVzWPyKd4aqnwWiwdWsf4OBVHFl/ksk81ceJEHDx4EJ999pnFbaZPn47i4mLTkpOT46rmEfkEbwkugKVDWxggObz4IpeUECdNmoTvv/8e27dvR5MmTSxup9PpoNPpXNEkIp/iDaXCa7F0SI5SNcCEEJg8eTK++eYbbN26FUlJSWqejqje8cbgAlg6tJXjT2T2zRKiqgE2ceJELF++HKtWrUJYWBjy8vIAABEREQgKClLz1EQ+zVuDC2Dp0B4GwKEyoMF5TfEoqgbYBx98AAA1/sL6+OOPMXbsWDVPTeSTvDm4jFg6JGdRvYRIRI7zheACWDq0F0uIyjgXIpEH85XgAlg6dAQn81XGACPyQL4UXEYsHdpPOPg4FeGjw+h9M5aJvJQ33cdlC5YOSQ3sgRF5AF/scRmxdOg4lhCVMcCI3MiXg8uIpUPHOTqjvK/ORu+bsUzk4Xy1VHgtlg5JTeyBEblQfehxGbF06Dx8IrMyBhiRC9Sn4DJi6dB5WEJU5puxTOQh6kup8FosHZIrsAdGpIL62OMyYunQ+WRoHHqqMp/ITER1qs/BZcTSofMZhASDA2VAR/b1ZAww8lllJeX46Zs9OLr7OI7uzcKfeRcgBBARFYbW3VugTY+WuO72nmgQHeHwuRhcl7F0SK7EACOfc+5MEZb/4yusX7oV+kuV0PprYai68kCJ82eKcOrwH1j38Wa8P/kjDLy7Lx546U40aZ1g87kYXFewdKgeDuJQxgAjnyGEwMb/bse8SR9Cf6kScrUMAGbhZWSoNpj+u3XFT9j2xS6Mf/M+3PbkcGi12jrPxeCqiaVD9QgHZ6MXPjoTh29+Kqp3hBD44OkleHvM+7hUWmEKL2sYqmVUV1Zj4TOf4PW73kVVZZXFbevrqMK6sHSoLgMkhxdfxAAjn/Cf5z7FN/9ac/mFA4+h27lqL/75wL8gy+YByOCyjKVDcheWEMnr7V6dji/e+a7G+jPiJA7jF9NrDTTwQwBCEYEoxCEBzeEn+ZvtI2SB7V/+jJQFG3DL40NYKrQCS4fqk4Vj17FkH322MAOMvFrphTLMHv8BJI0EYeFfaTLaIwghEBDQowJ/ohC/YT9O4zhSRF+ESQ1q7PPB1CX4dO1ifLX6CwZXLVg6dA0+kVkZA4y82pr/bETxuRKL4QUAUYhDuBRpep2EtigSBcjET9iPnegjhkArmQ/cqNRX4uS2QgZXLVg6JHdjgJHXkmUZK99fW2t4WRIpxSBJtEM2DiIPp9AYyWbva6BBrJyI++95gOFlAUuHriM7+ERmR/b1ZL7Zr6R64XjGCRTmnLd7/3g0BQCcR77i+/rySvzyQ6bdx/dlLB26lnEmDkcWX8QAI6/12y/ZkBz4dxkoBcMP/riEMsX3tf5aHE//3f4T+CiWDslTsIRIXuv3/Seh8dMq3qhsLS38UI1qxfcM1QYc33fC7mP7KpYOXY+DOJQxwMhrlRaX23X962oGVCMAOuU3BVD6Z6lDx/c1LB26hwwHp5LiNTAiz6LVOvbjWyHKUY0qBMFyL0Lj4Dl8CUuH5GnYAyOv1Si+ISSNBNhZQTyL05ePg1jF9zVaDaKaNLK3eT6HpUP3EQ6OQhQ+2gNjgJHXatkt2e7rX0WiACdwBEEIQdxfoxGVtE5tYW/zfApLh+7F2eiVsT5CXqtd71ZWbXcOeTgrTuGMOImT4igyxI/IwHYEQIcU9K1xE7ORbJCtPocvY+nQ/YyDOBxZbLF9+3aMGDECCQkJkCQJK1eurHOfrVu3olu3btDpdGjZsiWWLFli34e1AQOMvFZc8xh0vr59ndepfsdhHMJeHEEGTiMLgEBrpKA3bkSoZPlhlrHNo9Gpfzsnt9r7GEuHixcvZumwnigrK0NKSgrmz59v1fYnTpzAzTffjEGDBiEzMxNPPfUUHnroIfzwww+qtpMlRPJqIycPx6/bDiu+lyA1RwKa23VcSZIwctIwaDT1+288lg49g6tLiMOGDcOwYcOs3n7BggVISkrCO++8AwBo164dduzYgTlz5mDIkCE2ndsW9ftfJ3m9fiN7oNOAdtD6Oe9HWaPVIKFlHG55XL1/eN6ApUPPYZxKypEFAEpKSswWvV7vlPbt2rULgwcPNls3ZMgQ7Nq1yynHt4QBRl5No9Hg2Y8nws/f7/KIRCcQssDzn0xGQGD9ngORpUPfk5iYiIiICNOSlpbmlOPm5eUhNtZ8NG9sbCxKSkpw6dIlp5xDCUuI5PXik2Ix8+tn8dKINMiAwzc3T/nwMbTrVb8Hb7B06FmcVULMyclBeHi4ab1OZ+Emfi/BHhj5hB5DuuAf37+AwGCdXeVErZ8Gfv5aPLdkEoaOG6RCC70HS4eexxhgjiwAEB4ebrY4K8Di4uKQn28+KXZ+fj7Cw8MRFBTklHMoYYCRz+h+Uwo+OjwXXf+vEwBYFWTGEYwtUppjQeZs3Dj6elXb6A1YOiRb9enTB5s2bTJbt2HDBvTp00fV87KESD4lukkjvLn2RezbdADf/vsH7Px2L4QsoNFqIElAVVUV/Pz8IBsulxk7X98et04cij63dIdWq3w/WH3C0qFncvUoxNLSUmRlZZlenzhxApmZmYiMjETTpk0xffp05Obm4pNPPgEAPProo3j//ffx3HPP4cEHH8TmzZvx+eefY/Xq1Xa32RoMMPI5kiSh2+DO6Da4My7+WYrjGSdwPP13/HboOD795FM8/PBD6H9zP7ROTUbD2Abubq7HYOnQc7k6wH755RcMGnSllD5lyhQAwJgxY7BkyRKcPXsWp0+fNr2flJSE1atX4+mnn8Z7772HJk2a4MMPP1R1CD0ASEIIx654q6ikpAQREREoLi42u/BIZI+MjAykpqYiPT0d3bp1c3dzPM68efPwxBNPYMuWLex9WcEVv5+M57hxzSPwD7F/VGxVWSU2DF/oc79L2QMjIpYOPZyAY49E8dheioMYYET1HEuHno+T+SpjgBHVc3xMiudjgCnjMHqieoylQ/Jm7IER1VMsHXoP9sCUMcCI6imWDr0HA0wZS4hE9RBLh+QL2AMjqmdYOvQ+QkgQDvSiHNnXkzHAiOoZlg69z9XP9LJ3f1/EEiJRPcLSIfkS9sCI6gmWDr0XB3EoY4AR1RMsHXovXgNTxhIiUT3A0iH5IlUDbPv27RgxYgQSEhIgSRJWrlyp5umISAFLh97PWU9k9jWqBlhZWRlSUlIwf/58NU9DRLXgE5a9n7GE6Mjii1S9BjZs2DAMGzbM6u31ej30er3pdUlJiRrNIqo3WDr0DcLBXpSvBphHXQNLS0tDRESEaUlMTHR3k4i8FkuH5Os8KsCmT5+O4uJi05KTk+PuJhF5LZYOfYcAIIQDi7s/gEo8ahi9TqeDTqdzdzOIvB5Lh75FhgSJM3HU4FE9MCJyHEuHVF94VA+MiBzHG5Z9D29kVqZqgJWWliIrK8v0+sSJE8jMzERkZCSaNm2q5qmJ6iWWDn2TLCRInEqqBlUD7JdffsGgQYNMr6dMmQIAGDNmDJYsWaLmqYnqHZYOqb5RNcAGDhwIIXx1/AuRZ2Hp0HcZRxM6sr8v4jUwIh/A0qFv4zUwZRyFSOTlWDqk+oo9MCIvx9Kh72MPTBkDjMiLsXRYP3AUojIGGJGXYumw/uAgDmUMMCIvxdIh1XcMMCIvxNJh/XK5B+bINTAnNsaDMMCIvAxLh/UPB3EoY4AReRmWDokuY4AReRGWDusnAcee6eWjFUQGGJG3sKZ0KAuB3X/kIOPsWRwsyEdeaSkMQkaELhAdYmLQOTYOA5o1R2hAgItbT45gCVEZA4zIS9RWOqyorsKn+/dj6f59OHPxIjTS5V9Y8lVX73fn/oFqWUagnx/ubN8BD6d2R5PwCJd+BiJnYoAReYHaSofpZ85g6vq1yCkugfirWCQrDDurlmUAQEV1Nf534Fd8ceggXuh/Pe7vnGIKPPJQrCEq4lyIRB6uttLhioMHcNcXnyG35Ep4WcMgBPQGA2Zu3YzJa75HpcHg7GaTM/1VQrR3gY+WEBlgRB7OWDpcvHixWenwi0MHMX3TBghcDiR7rcs6jifXrobhrx4aeR7jTByOLL6IAUbkwSyVDo+dO4cXN290yjkEgB+ys7Akc59TjkfkKrwGRuShLJUOq2UZU9evrfVhsRd378G5/61QfC/ihkGIHPG3Guvf/ulHDEpKRnLDho43npyKoxCVMcCIPJSlUYfrs7NwuLDQqmM0GDYU/o0izdb5x8UpbisLgfl7fsY7Q4bZ32hSh6PXsRhgROQqtY06/CRzHzSSpDjS8FrB7dpC1zTRqnMahMB3vx3DiwMGIjIoyJ5mE7kUr4EReZjaRh0WlJViz5lcq8LLHgZZxvrs46ocm+zHQRzK2AMj8jC13bB8ID/fpmPJFZdgKC01W6etZf5ErUaDX/PzcU9Hm05DauN9YIoYYEQepK65Dg8XFkIrSVYPm8/798Ia65LmvmNx+2pZxv68PKvbS+RODDAiD2HNXIcXKiqgsSHAGt15O/yjo21qx4WKSzZtT+rjKERlDDAiD2HNY1JsnfFJ17Sp1YM4rpzDN3/ZeT0fLQM6goM4iDyAtY9JaRQUrNoADqOo4GBVj0/kLOyBEbmZLU9Y7hgT49C0UXXx02jQJS5eteOTfVhCVMYAI3IzW56w3Ck2FhLUqyZVyzK6WLjRmdyIoxAVsYRI5Ea2PmG5QWAQ/i8pGVqVrlMF+fnhxuSWqhybHCE5YfE9DDAiN7GldHi10SldVCkjaiUJozp0RAif1kxegiVEIjexpXR4teuaNkP/ps2wM+e0xSAL69UTYb16Wn1MCUCwvz8m9uhl9T7kQiwhKmIPjMgNbC0dXk2SJPxz8E3Q+fk5rTAkALw26AZEh4Q46YjkVMIJix3mz5+P5s2bIzAwEL169cKePXssbrtkyRJIkmS2BAYG2ndiKzHAiFzM3tLh1eLDwvDBzSOgkSSnhNj4rqm4pU1bJxyJfMWKFSswZcoUzJw5ExkZGUhJScGQIUNQUFBgcZ/w8HCcPXvWtJw6dUrVNjLAiFzM0hOWbdW/WXN8dOttCND62TWoQ/PXPo9274EX+g/gDcyezPg4FUcWG7377ruYMGECxo0bh/bt22PBggUIDg7G4sWLLe4jSRLi4uJMS2xsrCOfuk4MMCIXcqR0qGRAs+ZY//cxSE1oDOBKKNXGOCatUVAQPr71NjzXrz/Dy8M5azb6kpISs0Wv1yuer7KyEunp6Rg8eLBpnUajweDBg7Fr1y6L7SwtLUWzZs2QmJiIW2+9FYcOHXLq1+FaDDAiF3FG6VBJYkQElt8xCv++eQR6Nm5sWu+n0UADQMgytFeVGhuHhWN6/+uxcfQ4XN88yWntIM+XmJiIiIgI05KWlqa43blz52AwGGr0oGJjY5FnYbLnNm3aYPHixVi1ahX++9//QpZl9O3bF3/88YfTP4cRRyESuYi9ow6toZEkDG3ZCkNbtkJuSQky887iQEE+jubkYM2atbhjxN8woF17dIyJRYeYGKt6auRBnDQKMScnB+Hh4abVOp3OoWZdrU+fPujTp4/pdd++fdGuXTssXLgQr7/+utPOczUGGJELOLt0WJvG4eFoHB6Om1u3QUZGBpbe9wAmPD0F3Tp1VvW8pCI7r2OZ7Y/LgyyuDjBLoqKioNVqkX/N8+fy8/MRZ+VMLf7+/ujatSuysrJsb6+VWEIkUplapUMitQQEBCA1NRWbNm0yrZNlGZs2bTLrZdXGYDDgwIEDiI9Xb25N9sCIVKZm6ZDqB0lcXhzZ31ZTpkzBmDFj0L17d/Ts2RNz585FWVkZxo0bBwAYPXo0GjdubLqO9tprr6F3795o2bIlLly4gFmzZuHUqVN46KGH7G94HRhgRCpyZemQfJgbZuK4++67UVhYiJdffhl5eXno0qUL1q1bZxrYcfr0aWg0V4p4f/75JyZMmIC8vDw0bNgQqamp2LlzJ9q3b+9Aw2vHACNSCUuH5DROugZmq0mTJmHSpEmK723dutXs9Zw5czBnzhy7zmMvBhiRSlg6JFIXA4xIBSwdklNxMl9FDDAiJ2PpkJyOAaaIAUbkZCwdErkGA4zIiVg6JFWwB6aIAUbkJCwdkmrcNArR0zHAiJyEpUMi12KAETkBS4ekJnfMxOENGGBEDmLpkFTHa2CKXDKZ7/z589G8eXMEBgaiV69e2LNnjytOS+QSznrCMhHZRvUAW7FiBaZMmYKZM2ciIyMDKSkpGDJkCAoKCtQ+NZHqWDokch/VA+zdd9/FhAkTMG7cOLRv3x4LFixAcHAwFi9eXGNbvV5f45HXRJ6KpUNyFQlXroPZtbj7A6hE1QCrrKxEeno6Bg8efOWEGg0GDx6MXbt21dg+LS3N7HHXiYmJajaPyCEsHZLLGIfRO7L4IFUD7Ny5czAYDKbp941iY2ORl5dXY/vp06ejuLjYtOTk5KjZPCK7sXRI5H4eNQpRp9NBp9O5uxlEtWLpkFyOoxAVqRpgUVFR0Gq1yM/PN1ufn5+PuLg4NU9NpBresEwuxwBTpGoJMSAgAKmpqdi0aZNpnSzL2LRpE/r06aPmqYlUwdIhkedQvYQ4ZcoUjBkzBt27d0fPnj0xd+5clJWVYdy4cWqfmsipWDokd+FMHMpUD7C7774bhYWFePnll5GXl4cuXbpg3bp1NQZ2EHk6lg7JbVhCVOSSQRyTJk3CpEmTXHEqIlWwdEjkeTxqFCKRJ2LpkNyOPTBFDDCiOrB0SO7Ga2DKXDKZL5G3YumQyHOxB0ZkAUuH5DH4RGZFDDAiC1g6JI/Ba2CKGGBEClg6JE/Ca2DKeA2M6BosHRJ5B/bAiK7B0iF5HJYQFTHAiK7C0iF5JAdLiL4aYCwhEv2FpUMi78IeGPksIQSOnCtEZt5ZHCosQPaZM4gZPxbzfzuCAVqgc0wcUuLioZEuDzFm6ZA8FkuIihhg5HP01dX46sghLNm/D1lF5yEB0Go0qJZlBHfqgO2F+dhakAcBICEsDKM7d0XvkDCWDslzMcAUMcDIp/yan4ep69ci+88iGG/dFACqZRkAIEkSDOLKv+YzFy/irZ+2Q3PpEmJ7pLJ0SORFeA2MfMaKQwdw++fLcfLCnwCs/6NTAKjW6YDbb8VHh36FED765yp5LeN9YI4svog9MPIJnx86gOmb1tu9v6S5/Lfce7t3QRYCT/fu56ymEZFK2AMjr3eoIB8vbN7gtOPN2/MzNp/43WnHIyJ1sAdGXq3SYMCU9WthaarSi7v34tzyFWbrNKEhCIiLQ8QNAxHcvl2NfTSQ8PzGddj49wcRERioQquJbMRBHIrYAyOvturYERwvOm82MENJg+FDEP3AvYh64F40uGEQDKWlyF/4EcoPHq6xrQyBPysqsDgzXa1mE9mE18CUMcDIawkhsCQzAxqL/a8rgtu1RWiPVIT1SEXE/w1E/JMTAa0WpRn7FLeXhcCyA/tRZTA4u9lE9hEOLD6KAUZeK/vPIhw5VwjZjn+hmqAgSP7+psEbSoouXcLOnNOONJGIVMQAI6+1Pz/P6m3lSxUwlJbBUFqKyrN5OP/5VxB6PUK7p1rcRytJNp2DSDWO9L58uBfGQRzktQ4V5MPvrxk26pL374VmryU/P0TddxeC2ra2uI8sgIMF+Q63k8hRfB6YMgYYea2iikuQrbzpuNGdt8E/JhoAYLhYitJf0nHuf19AowtESEonxX0EBM6VlzmtvUTkXAww8lq2TJiha9YUuqaJptch3brgzKw5OP/lNwju0A6Sn/I/BR/9w5W8DYfRK+I1MPJakUFBppnkbSVpNAhs1RKGkhJUFZ5T3gZAo6BgB1pI5BwcRq+MAUZeq310jFXXvywR8uUh8rJer/i+RpLQMSbW7uMTkbpYQiSv1Tk2zu59hcGAS0d/A7RaBMQph5RBCIfOQeQ0LCEqYoCR12od2QgtIxshu+h8nf8+y48cRVV+AQDAUFqK0vR9qC48h4jB/weNhemiInQ69Ets6uRWE9mBAaaIAUZeS5IkjOvSDS9aMZHvhTU/XNnP3w/+MTFoNOp2hPXro7i9VpJwX6cU6CwM7iAi9+O/TvJqt7dtj0Xpe/FHSbHifIhhvXogrFcPm44pAQgN0GF8V8s3ORO5Eu8DU8ZBHOTVdH5+mDNkuNX3g1lDAHjzhhsRyRGI5Ck4E4ciBhh5vS5x8bhBG+C047Utu4ShLVo57XhEDmOAKWKAkddbsGAB/jPpCXQ4VwQJsOveMOMeXQzA2hdewowZMyCc2KsjIufjNTDyagsWLMBjjz2GJ554AnNf/Qf2nsnF1PVrceZiidV/dGokCRE6HdJuuAk3tWiFd2TgmWeeAQD84x//gGTnzdJEzsJrYMoYYOS1zMJr7lxIkoSejZtg/QNjsezAfizdvw+5F0ugkSRIgGmQx9WvI4OC8ECnLhiT0hUNg4IAAFOnTgXAECMPwmH0ihhg5JWUwssoyN8fD3Xrjge7piL9bC725+XhUGEBCsvKIEMgMjAIHWJi0CkmDr0aN4G/Vlvj+AwxImD+/PmYNWsW8vLykJKSgnnz5qFnz54Wt//iiy/w0ksv4eTJk2jVqhXeeustDB8+XLX2McDI69QWXlfTSBJ6JDRBj4Qmdp2HIUaewh0lxBUrVmDKlClYsGABevXqhblz52LIkCE4duwYYmJiamy/c+dO3HvvvUhLS8Pf/vY3LF++HCNHjkRGRgY6duxof+NrwUEc5FWsDS9nmTp1KmbPno0333yTAzvIfdwwCvHdd9/FhAkTMG7cOLRv3x4LFixAcHAwFi9erLj9e++9h6FDh+LZZ59Fu3bt8Prrr6Nbt254//33bT+5ldgDI6/h6vAyYk+MfEVJSYnZa51OB51OV2O7yspKpKenY/r06aZ1Go0GgwcPxq5duxSPvWvXLkyZMsVs3ZAhQ7By5UrHG24BA4y8grvCy4ghRm7lpEEciYmJZqtnzpyJV155pcbm586dg8FgQGys+UTXsbGxOHr0qOIp8vLyFLfPy8uzv911YICRx3N3eBkxxMhdJFy5V9He/QEgJycH4eHhpvVKvS9vwgAjj+Yp4WXEECNvFh4ebhZglkRFRUGr1SI/P99sfX5+PuLilB8xFBcXZ9P2zsBBHOSxPC28jDiwg1zOxYM4AgICkJqaik2bNpnWybKMTZs2oU8f5Sc49OnTx2x7ANiwYYPF7Z2BPTDySJ4aXkbsiZEruWMY/ZQpUzBmzBh0794dPXv2xNy5c1FWVoZx48YBAEaPHo3GjRsjLS0NAPDkk0/i+uuvxzvvvIObb74Zn332GX755RcsWrTI/obXgQFGHsfTw8uIIUYu44aZOO6++24UFhbi5ZdfRl5eHrp06YJ169aZBmqcPn0aGs2VIl7fvn2xfPlyzJgxAy+88AJatWqFlStXqnYPGMAAIw/jLeFlxBAjXzZp0iRMmjRJ8b2tW7fWWDdq1CiMGjVK5VZdwQAjj+Ft4WXEECOX4KXWGhhg5BG8NbyMGGKkJs5Gr4wBRm7n7eFlxBAjci0GGLmVr4SXEUOMVMHHqShSLcDeeOMNrF69GpmZmQgICMCFCxfUOhV5KV8LLyOGGDkbS4jKVAuwyspKjBo1Cn369MFHH32k1mnIS/lqeBkxxIjUp1qAvfrqqwCAJUuWqHUK8lK+Hl5GDDFyGpYQFXnUNTC9Xg+9Xm96fe3U/+T96kt4GTHEyBlYQlTmUQGWlpZm6rmR76lv4WXEECNSh02T+U6bNg2SJNW6WHpWjDWmT5+O4uJi05KTk2P3sciz1NfwMuIEwOQQNzyR2RvY1AObOnUqxo4dW+s2ycnJdjfG0tNBybvV9/AyYk+M7MZrYIpsCrDo6GhER0er1RbyQQwvcwwxsgevgSlT7RrY6dOnUVRUhNOnT8NgMCAzMxMA0LJlS4SGhqp1WvIgDC9lDDEi51AtwF5++WUsXbrU9Lpr164AgC1btmDgwIFqnZY8BMOrdgwxsglLiIpUC7AlS5bwHrB6iuFlHYYYWUsSApIDA38c2deTedQwevJ+DC/bMMSI7McAI6dheNmHIUZ1YglREQOMnILh5RiGGNWGoxCVMcDIYQwv52CIEdmGAUYOYXg5F0OMFLGEqIgBRnZjeKmDIUbXYglRGQOM7MLwUhdDjKhuDDCyGcPLNRhiZMISoiIGGNmE4eVaDDECWEK0hAFGVmN4uQdDjNgDU8YAI6swvNzLlhAThvNA1a9A9SE0iTiMBbNiEB++DOLSH4B/R0CbxO8f+QQGGNWJ4eUZagsxIQRQ+RNE+aeAfisu/8mtRWQwMObucPj5rYEo/u7ygbQtgZDRQNCtkKQg138QsouvlgEdwQCjWjG8PItSiEEugCieAVRuA6DFlXqRARoJCPCXABiuHMSQDVHyMlC6AGgwC1JAD1d+BLKHEJcXR/b3QQwwsojh5ZmuDrHmCYUYf+deQFT89a7B8o4mf/0yk/Mgiu4HQp8EQh7n95e8DgOMFDG8PNvUqVPROOYMbr3+W8gGCRqNPUeRAQCi9D1AVEMKe9KpbSTn4ShEZXb92JNvY3h5PmEoxF03bYW/n8bO8LpG2XyIih+ccCBShXDC4oMYYGSG4eX5hBAQJS8BohwajfJvpiUrSqCNP25x+Tn90jV7SBDFL0HIRep/ACInYQmRTBheXqJyN6DfbNWmrz4bieZN/Wusb9k84Jo1AhAXIUoXQAp/wQmNJGeS5MuLI/v7IgYYAWB4eRNR/l9cHm1Y94CNof8Xgu5dAq08sgG49AVE2NMcXu9peCOzIpYQieHlRYRcAug3wrrRhvacoAyo2KTOsYmcjD2weo7h5WWqDsI4etAaxRdlnDtvHnaSBDSK1FrYww+iKhNS0N/sbyM5HUchKmOA1WMMLy9UfRiXCyfWhdhNd+XWWKfTSSg/2dLSCYCq/XY3j1TCG5kVMcDqKYaXdxKGAtgSYO+nRaNVsvmADa2lzpeRodCutpF62ANTxgCrhxhe9UePLoE2DOIw8tEha+RzGGD1DMPLu0maMAi1h5RpItQ9PtmOoxAVMcDqEYaXD/BrB9VGIF4+AeDfScXjkz1YQlTGYfT1BMPLR/h3VPkEBkgMMPIS7IHVAwwv3yFp4yD8u1x+YKUV16rWbS7D0azKGuv79ghCcrOaM3QAGkB3o8PtJCfjKERFDDAfx/DyPVLwaIjiKVZtO3OW8tyGH82NVQgwLRA4FJI2ysEWkrOxhKiMAebDGF4+KnAIUNYSqD4BS9fDxt4djrF3h9t4YAlSyOMON4/IVXgNzEcxvHyXJPlDipgNZw8tk0KfgOTfyqnHJCfh41QUMcB8EMPL90n+7SGFv+Sko2mAgAFAyENOOh45m7GE6MjiixhgPobhVX9IwfdDCnvxr1cO/FMO6A+p4fuQJF5RIO/Cn1gfwvCqf6SQMYBfK4ji5wG5ENbPoqEFIEEKmwIEj2V4eTpZXF4c2d8HsQfmIxhe9Zek6wspai0Q8jigifxr7eWAMud35b+BIyBFfQcp5CGGlzfgNTBF/Mn1AQwvkjShkMKegAh9DNDvgKjaB1QdAAx5AGRAEw74d4Tk1xEI/D9ImobubjLZQIKDw+id1hLPwgDzcgwvupok+QOBgyAFDnJ3U4hUxwDzYgwvonqCM3EoYoB5KYYXUf3BmTiUcRCHF2J4EZGnKCoqwv3334/w8HA0aNAA48ePR2lpaa37DBw4EJIkmS2PPvqozedmD8zLMLyI6iEPfh7Y/fffj7Nnz2LDhg2oqqrCuHHj8PDDD2P58uW17jdhwgS89tprptfBwcE2n5sB5kUYXkT1kyQEJAeuYzmyb22OHDmCdevWYe/evejevTsAYN68eRg+fDhmz56NhIQEi/sGBwcjLi7OofOzhOglGF5E5KiSkhKzRa/XO3S8Xbt2oUGDBqbwAoDBgwdDo9Fg9+7dte67bNkyREVFoWPHjpg+fTrKy8ttPj97YF6A4UVUz8mwfpIVS/sDSExMNFs9c+ZMvPLKK3YfNi8vDzExMWbr/Pz8EBkZiby8PIv73XfffWjWrBkSEhLw66+/4vnnn8exY8fw9ddf23R+BpiHY3gRkbNKiDk5OQgPv/KYHZ1Op7j9tGnT8NZbb9V6zCNHjtjdnocfftj0/506dUJ8fDxuuOEGZGdno0WLFlYfhwHmwRheRORM4eHhZgFmydSpUzF27Nhat0lOTkZcXBwKCgrM1ldXV6OoqMim61u9evUCAGRlZTHAfAHDi4hMXDwKMTo6GtHR0XVu16dPH1y4cAHp6elITU0FAGzevBmyLJtCyRqZmZkAgPj4eJvayUEcHojhRURmjDNxOLKooF27dhg6dCgmTJiAPXv24KeffsKkSZNwzz33mEYg5ubmom3bttizZw8AIDs7G6+//jrS09Nx8uRJfPvttxg9ejQGDBiAzp0723R+9sA8DMOLiK7lyTNxLFu2DJMmTcINN9wAjUaDO+64A//6179M71dVVeHYsWOmUYYBAQHYuHEj5s6di7KyMiQmJuKOO+7AjBkzbD43A8yDMLyIyNtERkbWetNy8+bNIa7qASYmJmLbtm1OObdqJcSTJ09i/PjxSEpKQlBQEFq0aIGZM2eisrJSrVN6NYYXEVnkoSVEd1OtB3b06FHIsoyFCxeiZcuWOHjwICZMmICysjLMnj1brdN6JYYXEdVGki8vjuzvi1QLsKFDh2Lo0KGm18nJyTh27Bg++OADBthVGF5ERPZx6TWw4uJiREZGWnxfr9ebTW1SUlLiima5DcOLiKzC54Epctkw+qysLMybNw+PPPKIxW3S0tIQERFhWq6d9sSXMLyIyGrCCYsPsjnApk2bVuM5LtcuR48eNdsnNzcXQ4cOxahRozBhwgSLx54+fTqKi4tNS05Oju2fyAswvIiIHGdzCdHaKUaMzpw5g0GDBqFv375YtGhRrfvpdDqLc3P5CoYXEdnKUx+n4m42B5i1U4wAl3tegwYNQmpqKj7++GNoNPV74g+GFxHZhdfAFKk2iCM3NxcDBw5Es2bNMHv2bBQWFprec/QhZt6I4UVE5FyqBdiGDRuQlZWFrKwsNGnSxOw94aN/DVjC8CIihwg49jwwH/2Vq1pNb+zYsRBCKC71CcOLiBxlvAbmyOKLOBeiihheROQUAg5eA3NaSzxK/R5VoSKGFxGRutgDUwHDi4iciqMQFTHAnIzhRUROJwNw5FeJj07myxKiEzG8iIhchz0wJ2F4EZFaOBOHMgaYEzC8iEhVvAamiCVEBzG8iIjcgz0wBzC8iMgl2ANTxACzE8OLiFyGAaao3gZYib4CBwsKcLiwABcr9ZAgITokBB2jY9A2Kho6P8tfGoYXEZH71asAM8gytp48gU9+3Ycdp09BANBIEjR/BZBBliEABGi1uLVNWzzQuSs6xcSaHYPhRUQux/vAFNWbAMsuOo+p69fi14J8aCXJNDWYLATka7rXlQYDvj5yGF8cPoTb2rbHywMGISIwkOFFRG7BYfTK6kWAfXXkEKZvWm+aCd9gxTfTuM23x45g+6mTGF4l47WJkxheROR6vAamyOcD7LODv+KFzRvs3t8gBIoulWOpvhKjn30Gc996m+FFROQBfDrA9p75Ay86EF5GAoAmwB8HWjbHnxWXEBkU7HjjiIisJQtAcqAXJftmD8xnb2S+VFWFqT+srbO3VPLjTzjx5DM48+57tR9QknBRr8fMrZud2EoiIisYS4iOLD7IZwPso33pOFN6scYAjWuVpu+DX2RD6E/loKrwXK3bGoTA6uPHsCf3D2c2lYiI7OCTAVYty/jk1311hlfV+fPQnziJyJG3QBMagtJfMuo8tlaSsHT/Pmc1lYjICo72vtgD8xrbT53EufLyOrcr/WUfNMFBCO7QDiEpnVGaXneAGYTAD9nHcaHikjOaSkRUN5YQFflkgGWcPQM/Td0frSw9A8GdO0Hy80NoaldUF56D/tTpOveThcCB/HxnNJWIiOzkkwF2oCAPBrn2W8/1OX+gKr8Aod26AAB0yUnQNohAaXrd5UGtJOHXAgYYEbmILBxffJBPBtgfJSV1VnxLf8mANiwMga1aAgAkSUJI1y4oy8iEqCP8JElCQVmpk1pLRFQHITu++CCfDLC6Bm8IWUZZRiYCW7VA9fkiVBWeQ1XhOQQ2awrDxYu49NvxOs9RXUfIERGRunzyRuZwna7W9yt+y4KhpARlGZkoy8is8X7ZLxkIbtum1mOEBQQ40kQiIutxKilFPhlgHaJjcKSwENUWus2l6RnQhIYiatRtNd4r238QZb8eRKPKKmgC/BX3r5ZltI2KcWqbiYgskh0cCu+j18B8MsA6xcbhs0MHFN+TK6tQtv8AQrqkIKRLSo33tRERKMvYh/KDh0wDPBTPEcMAIyIXYQ9MkU9eA7shKdn0jK9rlR88BKHXI7hTe8X3dc2aQhMagjIL94RJAJIbNERyw0hnNZeIiOzgkwEWExKKoS1aQasQYmXpGZD8/RDUprXivpJGg+D27VB+5BgMZWWK24zp0o0z0hOR6wg4eCOzuz+AOnyyhAgAE3v0wrrsmqMJYyc8WOe+0fffg+j776mxXiNJiA4Owe1tlXtvRESqYAlRkU/2wACgXXQMJvXo7dBTuK8lC4HZNw1FCEcgEhG5nc8GGAA83qMXeiQ0sXg9zFaPde+JfonNnHIsIiKrybLjiw/y6QAL0Grx4S23ITU+we6emHG/B7uk4pk+1zmraURE1uNkvop8OsAAIDQgAJ+MvBOPpPaEBCgO7LBEK0kI9vfH7BuH4sX+13PgBhGRB/HZQRxX0/n54bl+/TGkRUvM+Xknfjx90hRG1047pZUkyELAX6vFyDbt8HTvfogNDXVHs4mILuMgDkX1IsCMUuLisWTkHcgpLsaarGM4kJ+P/fl5uKjXQ6OREBUUjC7x8egal4CbW7VGuC7Q3U0mIuJMHBbUqwAzSoyIwCOpPd3dDCIickC9DDAiIm8ihAzhwCNRHNnXkzHAiIg8nXDwoZS8BkZERG4hHLwG5qMB5vPD6ImIyDexB0ZE5OlkGZAcuI7Fa2BEROQWLCEqYgmRiIi8EgOMiMjDCVl2eFHLG2+8gb59+yI4OBgNGjSw7vMIgZdffhnx8fEICgrC4MGDcfx4zcdf1YUBRkTk6Tx4Mt/KykqMGjUKjz32mNX7vP322/jXv/6FBQsWYPfu3QgJCcGQIUNQUVFh07l5DYyIqJ4oKSkxe63T6aDT6Rw65quvvgoAWLJkiVXbCyEwd+5czJgxA7feeisA4JNPPkFsbCxWrlyJe+6p+TBhS9gDIyLydLJwfAGQmJiIiIgI05KWlubyj3LixAnk5eVh8ODBpnURERHo1asXdu3aZdOx2AMjIvJ0QgBwZBj95QDLyclBeHi4abWjvS975OXlAQBiY2PN1sfGxpresxZ7YERE9UR4eLjZYinApk2bBkmSal2OHj3q4tbXpGoP7JZbbkFmZiYKCgrQsGFDDB48GG+99RYSEhLUPC0RkU8RsoCQ7B+IIWwcxDF16lSMHTu21m2Sk5PtaktcXBwAID8/H/Hx8ab1+fn56NKli03HUjXABg0ahBdeeAHx8fHIzc3FM888gzvvvBM7d+5U87RERL5FyHCshGjbvtHR0YiOjrb/fLVISkpCXFwcNm3aZAqskpIS7N6926aRjIDKAfb000+b/r9Zs2aYNm0aRo4ciaqqKvj7+6t5aiIin+HqHpgtTp8+jaKiIpw+fRoGgwGZmZkAgJYtWyL0r6fZt23bFmlpabjtttsgSRKeeuop/OMf/0CrVq2QlJSEl156CQkJCRg5cqRN53bZII6ioiIsW7YMffv2tRheer0eer3e9PraIZ9ERORZXn75ZSxdutT0umvXrgCALVu2YODAgQCAY8eOobi42LTNc889h7KyMjz88MO4cOECrrvuOqxbtw6BgYE2nVsSakYzgOeffx7vv/8+ysvL0bt3b3z//fdo1KiR4ravvPKK6Z6Cq107coaIyN1KSkqQmJiICxcuICIiQrVzRERE4DoMhx/sr1pVowo7sAbFxcW+9btU2Oj55583zippcTly5Ihp+8LCQnHs2DGxfv160a9fPzF8+HAhy7LisSsqKkRxcbFpOXz4cJ3n4sKFCxd3Ljk5Obb+GrXapUuXRFxcnFPaGRcXJy5duqRaW93B5h5YYWEhzp8/X+s2ycnJCAgIqLH+jz/+QGJiInbu3Ik+ffrUeS5ZlnHmzBmEhYVBkiRbmmkT419S9amnx8/Mz+yrXPWZhRC4ePEiEhISoNGod0dSRUUFKisrHT5OQECAzSU6T2fzNTBHRqfIf00oefV1rtpoNBo0adLErnPZw3hvRH3Cz1w/8DOrQ63S4dUCAwN9LnicRbVBHLt378bevXtx3XXXoWHDhsjOzsZLL72EFi1aWNX7IiIiqo1q/d7g4GB8/fXXuOGGG9CmTRuMHz8enTt3xrZt29wyfQkREfkW1XpgnTp1wubNm9U6vFPpdDrMnDmzXgUrP3P9wM9Mvkz1YfRERERq4GS+RETklRhgRETklRhgRETklRhgRETklRhgRETklRhgVzl58iTGjx+PpKQkBAUFoUWLFpg5c6ZTpnHxZG+88Qb69u2L4OBgNGjQwN3NUc38+fPRvHlzBAYGolevXtizZ4+7m6Sa7du3Y8SIEUhISIAkSVi5cqW7m6S6tLQ09OjRA2FhYYiJicHIkSNx7NgxdzeLVMQAu8rRo0chyzIWLlyIQ4cOYc6cOViwYAFeeOEFdzdNVZWVlRg1apTND5PzJitWrMCUKVMwc+ZMZGRkICUlBUOGDEFBQYG7m6aKsrIypKSkYP78+e5uists27YNEydOxM8//4wNGzagqqoKN910E8rKytzdNFIJ7wOrw6xZs/DBBx/g999/d3dTVLdkyRI89dRTuHDhgrub4nS9evVCjx498P777wO4PC9nYmIiJk+ejGnTprm5deqSJAnffPONzQ8L9HaFhYWIiYnBtm3bMGDAAHc3h1TAHlgdiouLERkZ6e5mkAMqKyuRnp6OwYMHm9ZpNBoMHjwYu3btcmPLSE3GByjy36/vYoDVIisrC/PmzcMjjzzi7qaQA86dOweDwYDY2Fiz9bGxscjLy3NTq0hNsizjqaeeQr9+/dCxY0d3N4dUUi8CbNq0aZAkqdbl6NGjZvvk5uZi6NChGDVqFCZMmOCmltvPns9M5CsmTpyIgwcP4rPPPnN3U0hFqk3m60mmTp2KsWPH1rpNcnKy6f/PnDmDQYMGoW/fvli0aJHKrVOHrZ/Zl0VFRUGr1SI/P99sfX5+PuLi4tzUKlLLpEmT8P3332P79u0ufZ4guV69CDBbHsKZm5uLQYMGITU1FR9//LGqT1pVkyMPHvU1AQEBSE1NxaZNm0wDGWRZxqZNmzBp0iT3No6cRgiByZMn45tvvsHWrVuRlJTk7iaRyupFgFkrNzcXAwcORLNmzTB79mwUFhaa3vPlv9RPnz6NoqIinD59GgaDAZmZmQCAli1bIjQ01L2Nc5IpU6ZgzJgx6N69O3r27Im5c+eirKwM48aNc3fTVFFaWoqsrCzT6xMnTiAzMxORkZFo2rSpG1umnokTJ2L58uVYtWoVwsLCTNc3IyIiEBQU5ObWkSoEmXz88ccCgOLiy8aMGaP4mbds2eLupjnVvHnzRNOmTUVAQIDo2bOn+Pnnn93dJNVs2bJF8Xs6ZswYdzdNNZb+7X788cfubhqphPeBERGRV/LOCzxERFTvMcCIiMgrMcCIiMgrMcCIiMgrMcCIiMgrMcCIiMgrMcCIiMgrMcCIiMgrMcCIiMgrMcCIiMgrMcCIiMgr/T9gDLBVFZHcvAAAAABJRU5ErkJggg==", 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    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "G.plot(color_nodes_theta=7*np.pi/4)\n", - "plt.title('Coloring nodes with $g_\\omega$ for $\\\\theta = 7\\pi/4$')\n", - "plt.savefig('paper/figures/example_graph_7pi_over_4.png', bbox_inches='tight', dpi=300)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "ename": "FileNotFoundError", - "evalue": "[Errno 2] No such file or directory: '../paper/figures/example_graph_pi_over_2.png'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[11], line 3\u001b[0m\n\u001b[1;32m 1\u001b[0m G\u001b[38;5;241m.\u001b[39mplot(color_nodes_theta\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m2\u001b[39m\u001b[38;5;241m*\u001b[39mnp\u001b[38;5;241m.\u001b[39mpi\u001b[38;5;241m/\u001b[39m\u001b[38;5;241m4\u001b[39m)\n\u001b[1;32m 2\u001b[0m plt\u001b[38;5;241m.\u001b[39mtitle(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mColoring nodes with $g_\u001b[39m\u001b[38;5;124m\\\u001b[39m\u001b[38;5;124momega$ for $\u001b[39m\u001b[38;5;130;01m\\\\\u001b[39;00m\u001b[38;5;124mtheta = \u001b[39m\u001b[38;5;124m\\\u001b[39m\u001b[38;5;124mpi/2$\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m----> 3\u001b[0m plt\u001b[38;5;241m.\u001b[39msavefig(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m../paper/figures/example_graph_pi_over_2.png\u001b[39m\u001b[38;5;124m'\u001b[39m, bbox_inches\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mtight\u001b[39m\u001b[38;5;124m'\u001b[39m, dpi\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m300\u001b[39m)\n", - "File \u001b[0;32m/opt/anaconda3/lib/python3.11/site-packages/matplotlib/pyplot.py:1228\u001b[0m, in \u001b[0;36msavefig\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 1225\u001b[0m fig \u001b[38;5;241m=\u001b[39m gcf()\n\u001b[1;32m 1226\u001b[0m \u001b[38;5;66;03m# savefig default implementation has no return, so mypy is unhappy\u001b[39;00m\n\u001b[1;32m 1227\u001b[0m \u001b[38;5;66;03m# presumably this is here because subclasses can return?\u001b[39;00m\n\u001b[0;32m-> 1228\u001b[0m res \u001b[38;5;241m=\u001b[39m fig\u001b[38;5;241m.\u001b[39msavefig(\u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs) \u001b[38;5;66;03m# type: ignore[func-returns-value]\u001b[39;00m\n\u001b[1;32m 1229\u001b[0m fig\u001b[38;5;241m.\u001b[39mcanvas\u001b[38;5;241m.\u001b[39mdraw_idle() \u001b[38;5;66;03m# Need this if 'transparent=True', to reset colors.\u001b[39;00m\n\u001b[1;32m 1230\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m res\n", - "File \u001b[0;32m/opt/anaconda3/lib/python3.11/site-packages/matplotlib/figure.py:3395\u001b[0m, in \u001b[0;36mFigure.savefig\u001b[0;34m(self, fname, transparent, **kwargs)\u001b[0m\n\u001b[1;32m 3393\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m ax \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39maxes:\n\u001b[1;32m 3394\u001b[0m _recursively_make_axes_transparent(stack, ax)\n\u001b[0;32m-> 3395\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcanvas\u001b[38;5;241m.\u001b[39mprint_figure(fname, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)\n", - "File \u001b[0;32m/opt/anaconda3/lib/python3.11/site-packages/matplotlib/backend_bases.py:2204\u001b[0m, in \u001b[0;36mFigureCanvasBase.print_figure\u001b[0;34m(self, filename, dpi, facecolor, edgecolor, orientation, format, bbox_inches, pad_inches, bbox_extra_artists, backend, **kwargs)\u001b[0m\n\u001b[1;32m 2200\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m 2201\u001b[0m \u001b[38;5;66;03m# _get_renderer may change the figure dpi (as vector formats\u001b[39;00m\n\u001b[1;32m 2202\u001b[0m \u001b[38;5;66;03m# force the figure dpi to 72), so we need to set it again here.\u001b[39;00m\n\u001b[1;32m 2203\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m cbook\u001b[38;5;241m.\u001b[39m_setattr_cm(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mfigure, dpi\u001b[38;5;241m=\u001b[39mdpi):\n\u001b[0;32m-> 2204\u001b[0m result \u001b[38;5;241m=\u001b[39m print_method(\n\u001b[1;32m 2205\u001b[0m filename,\n\u001b[1;32m 2206\u001b[0m facecolor\u001b[38;5;241m=\u001b[39mfacecolor,\n\u001b[1;32m 2207\u001b[0m edgecolor\u001b[38;5;241m=\u001b[39medgecolor,\n\u001b[1;32m 2208\u001b[0m orientation\u001b[38;5;241m=\u001b[39morientation,\n\u001b[1;32m 2209\u001b[0m bbox_inches_restore\u001b[38;5;241m=\u001b[39m_bbox_inches_restore,\n\u001b[1;32m 2210\u001b[0m \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)\n\u001b[1;32m 2211\u001b[0m \u001b[38;5;28;01mfinally\u001b[39;00m:\n\u001b[1;32m 2212\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m bbox_inches \u001b[38;5;129;01mand\u001b[39;00m restore_bbox:\n", - "File \u001b[0;32m/opt/anaconda3/lib/python3.11/site-packages/matplotlib/backend_bases.py:2054\u001b[0m, in \u001b[0;36mFigureCanvasBase._switch_canvas_and_return_print_method..\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 2050\u001b[0m optional_kws \u001b[38;5;241m=\u001b[39m { \u001b[38;5;66;03m# Passed by print_figure for other renderers.\u001b[39;00m\n\u001b[1;32m 2051\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mdpi\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mfacecolor\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124medgecolor\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124morientation\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[1;32m 2052\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mbbox_inches_restore\u001b[39m\u001b[38;5;124m\"\u001b[39m}\n\u001b[1;32m 2053\u001b[0m skip \u001b[38;5;241m=\u001b[39m optional_kws \u001b[38;5;241m-\u001b[39m {\u001b[38;5;241m*\u001b[39minspect\u001b[38;5;241m.\u001b[39msignature(meth)\u001b[38;5;241m.\u001b[39mparameters}\n\u001b[0;32m-> 2054\u001b[0m print_method \u001b[38;5;241m=\u001b[39m functools\u001b[38;5;241m.\u001b[39mwraps(meth)(\u001b[38;5;28;01mlambda\u001b[39;00m \u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs: meth(\n\u001b[1;32m 2055\u001b[0m \u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39m{k: v \u001b[38;5;28;01mfor\u001b[39;00m k, v \u001b[38;5;129;01min\u001b[39;00m kwargs\u001b[38;5;241m.\u001b[39mitems() \u001b[38;5;28;01mif\u001b[39;00m k \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m skip}))\n\u001b[1;32m 2056\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m: \u001b[38;5;66;03m# Let third-parties do as they see fit.\u001b[39;00m\n\u001b[1;32m 2057\u001b[0m print_method \u001b[38;5;241m=\u001b[39m meth\n", - "File \u001b[0;32m/opt/anaconda3/lib/python3.11/site-packages/matplotlib/backends/backend_agg.py:496\u001b[0m, in \u001b[0;36mFigureCanvasAgg.print_png\u001b[0;34m(self, filename_or_obj, metadata, pil_kwargs)\u001b[0m\n\u001b[1;32m 449\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mprint_png\u001b[39m(\u001b[38;5;28mself\u001b[39m, filename_or_obj, \u001b[38;5;241m*\u001b[39m, metadata\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, pil_kwargs\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m):\n\u001b[1;32m 450\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 451\u001b[0m \u001b[38;5;124;03m Write the figure to a PNG file.\u001b[39;00m\n\u001b[1;32m 452\u001b[0m \n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 494\u001b[0m \u001b[38;5;124;03m *metadata*, including the default 'Software' key.\u001b[39;00m\n\u001b[1;32m 495\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m--> 496\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_print_pil(filename_or_obj, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mpng\u001b[39m\u001b[38;5;124m\"\u001b[39m, pil_kwargs, metadata)\n", - "File \u001b[0;32m/opt/anaconda3/lib/python3.11/site-packages/matplotlib/backends/backend_agg.py:445\u001b[0m, in \u001b[0;36mFigureCanvasAgg._print_pil\u001b[0;34m(self, filename_or_obj, fmt, pil_kwargs, metadata)\u001b[0m\n\u001b[1;32m 440\u001b[0m \u001b[38;5;250m\u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 441\u001b[0m \u001b[38;5;124;03mDraw the canvas, then save it using `.image.imsave` (to which\u001b[39;00m\n\u001b[1;32m 442\u001b[0m \u001b[38;5;124;03m*pil_kwargs* and *metadata* are forwarded).\u001b[39;00m\n\u001b[1;32m 443\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 444\u001b[0m FigureCanvasAgg\u001b[38;5;241m.\u001b[39mdraw(\u001b[38;5;28mself\u001b[39m)\n\u001b[0;32m--> 445\u001b[0m mpl\u001b[38;5;241m.\u001b[39mimage\u001b[38;5;241m.\u001b[39mimsave(\n\u001b[1;32m 446\u001b[0m filename_or_obj, \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mbuffer_rgba(), \u001b[38;5;28mformat\u001b[39m\u001b[38;5;241m=\u001b[39mfmt, origin\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mupper\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[1;32m 447\u001b[0m dpi\u001b[38;5;241m=\u001b[39m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mfigure\u001b[38;5;241m.\u001b[39mdpi, metadata\u001b[38;5;241m=\u001b[39mmetadata, pil_kwargs\u001b[38;5;241m=\u001b[39mpil_kwargs)\n", - "File \u001b[0;32m/opt/anaconda3/lib/python3.11/site-packages/matplotlib/image.py:1676\u001b[0m, in \u001b[0;36mimsave\u001b[0;34m(fname, arr, vmin, vmax, cmap, format, origin, dpi, metadata, pil_kwargs)\u001b[0m\n\u001b[1;32m 1674\u001b[0m pil_kwargs\u001b[38;5;241m.\u001b[39msetdefault(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mformat\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;28mformat\u001b[39m)\n\u001b[1;32m 1675\u001b[0m pil_kwargs\u001b[38;5;241m.\u001b[39msetdefault(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mdpi\u001b[39m\u001b[38;5;124m\"\u001b[39m, (dpi, dpi))\n\u001b[0;32m-> 1676\u001b[0m image\u001b[38;5;241m.\u001b[39msave(fname, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mpil_kwargs)\n", - "File \u001b[0;32m/opt/anaconda3/lib/python3.11/site-packages/PIL/Image.py:2436\u001b[0m, in \u001b[0;36mImage.save\u001b[0;34m(self, fp, format, **params)\u001b[0m\n\u001b[1;32m 2434\u001b[0m fp \u001b[38;5;241m=\u001b[39m builtins\u001b[38;5;241m.\u001b[39mopen(filename, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mr+b\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 2435\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[0;32m-> 2436\u001b[0m fp \u001b[38;5;241m=\u001b[39m builtins\u001b[38;5;241m.\u001b[39mopen(filename, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mw+b\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 2438\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m 2439\u001b[0m save_handler(\u001b[38;5;28mself\u001b[39m, fp, filename)\n", - "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: '../paper/figures/example_graph_pi_over_2.png'" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "G.plot(color_nodes_theta=2*np.pi/4)\n", - "plt.title('Coloring nodes with $g_\\omega$ for $\\\\theta = \\pi/2$')\n", - "plt.savefig('../paper/figures/example_graph_pi_over_2.png', bbox_inches='tight', dpi=300)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", - " 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", - " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", - " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", - " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1])" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "myect = ECT(num_dirs = 100, num_thresh=100)\n", - "myect.set_bounding_radius(1.2 * G.get_bounding_radius())\n", - "\n", - "myect.calculateECC(G, np.pi/2,bound_radius=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "myect.calculateECT(G)\n", - "\n", - "M = myect.get_ECT()\n", - "\n", - "# We can use the built in command to plot the matrix. Unlike the plotECC function, this command does not calculate the ECT when called so it must have been run earlier. An equivalent command is myect.plotECT()\n", - "myect.plot('ECT')\n", - "\n", - "plt.savefig('paper/figures/example_ect.png', bbox_inches='tight', dpi=300)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## CW Complex version" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "ename": "TypeError", - "evalue": "loop of ufunc does not support argument 0 of type Axes which has no callable cos method", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;31mAttributeError\u001b[0m: 'Axes' object has no attribute 'cos'", - "\nThe above exception was the direct cause of the following exception:\n", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[16], line 13\u001b[0m\n\u001b[1;32m 10\u001b[0m K\u001b[38;5;241m.\u001b[39madd_face([\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mA\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mB\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mC\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mD\u001b[39m\u001b[38;5;124m'\u001b[39m])\n\u001b[1;32m 12\u001b[0m \u001b[38;5;66;03m# K.set_centered_coordinates()\u001b[39;00m\n\u001b[0;32m---> 13\u001b[0m K\u001b[38;5;241m.\u001b[39mplot()\n", - "File \u001b[0;32m~/Library/CloudStorage/Dropbox/Math/Code/ect/ect/ect/embed_cw.py:174\u001b[0m, in \u001b[0;36mEmbeddedCW.plot\u001b[0;34m(self, bounding_circle, color_nodes_theta, ax, **kwargs)\u001b[0m\n\u001b[1;32m 171\u001b[0m fig \u001b[38;5;241m=\u001b[39m ax\u001b[38;5;241m.\u001b[39mget_figure()\n\u001b[1;32m 173\u001b[0m ax \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mplot_faces(\u001b[38;5;241m0\u001b[39m, facecolor\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlightblue\u001b[39m\u001b[38;5;124m'\u001b[39m, ax\u001b[38;5;241m=\u001b[39max)\n\u001b[0;32m--> 174\u001b[0m ax \u001b[38;5;241m=\u001b[39m \u001b[38;5;28msuper\u001b[39m()\u001b[38;5;241m.\u001b[39mplot(bounding_circle, color_nodes_theta, ax)\n\u001b[1;32m 175\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m ax\n", - "File \u001b[0;32m~/Library/CloudStorage/Dropbox/Math/Code/ect/ect/ect/embed_graph.py:482\u001b[0m, in \u001b[0;36mEmbeddedGraph.plot\u001b[0;34m(self, bounding_circle, bounding_center_type, color_nodes_theta, ax, with_labels, **kwargs)\u001b[0m\n\u001b[1;32m 480\u001b[0m nx\u001b[38;5;241m.\u001b[39mdraw(\u001b[38;5;28mself\u001b[39m, pos, with_labels\u001b[38;5;241m=\u001b[39mwith_labels, ax\u001b[38;5;241m=\u001b[39max, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)\n\u001b[1;32m 481\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[0;32m--> 482\u001b[0m g \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mg_omega(color_nodes_theta)\n\u001b[1;32m 483\u001b[0m color_map \u001b[38;5;241m=\u001b[39m [g[v] \u001b[38;5;28;01mfor\u001b[39;00m v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mnodes]\n\u001b[1;32m 484\u001b[0m \u001b[38;5;66;03m# Some weird plotting to make the colorbar work.\u001b[39;00m\n", - "File \u001b[0;32m~/Library/CloudStorage/Dropbox/Math/Code/ect/ect/ect/embed_graph.py:347\u001b[0m, in \u001b[0;36mEmbeddedGraph.g_omega\u001b[0;34m(self, theta)\u001b[0m\n\u001b[1;32m 332\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mg_omega\u001b[39m(\u001b[38;5;28mself\u001b[39m, theta):\n\u001b[1;32m 333\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 334\u001b[0m \u001b[38;5;124;03m Function to compute the function :math:`g_\\omega(v)` for all vertices :math:`v` in the graph in the direction of :math:`\\\\theta \\in [0,2\\pi]` . This function is defined by :math:`g_\\omega(v) = \\langle \\\\texttt{pos}(v), \\omega \\\\rangle` .\u001b[39;00m\n\u001b[1;32m 335\u001b[0m \n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 344\u001b[0m \n\u001b[1;32m 345\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m--> 347\u001b[0m omega \u001b[38;5;241m=\u001b[39m (np\u001b[38;5;241m.\u001b[39mcos(theta), np\u001b[38;5;241m.\u001b[39msin(theta))\n\u001b[1;32m 349\u001b[0m g \u001b[38;5;241m=\u001b[39m {}\n\u001b[1;32m 350\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mnodes:\n", - "\u001b[0;31mTypeError\u001b[0m: loop of ufunc does not support argument 0 of type Axes which has no callable cos method" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "K = EmbeddedCW()\n", - "\n", - "K.add_node('A', 0,0)\n", - "K.add_node('B', 1,0)\n", - "K.add_node('C', 1,1)\n", - "K.add_node('D', 0,1)\n", - "\n", - "K.add_edges_from((('A', 'B'), ('B', 'C'), ('C', 'D'), ('D', 'A')))\n", - "\n", - "K.add_face(['A', 'B', 'C', 'D'])\n", - "\n", - "# K.set_centered_coordinates()\n", - "K.plot()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [] - } - ], - "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" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/paper/paper.bib b/paper/paper.bib deleted file mode 100644 index c8d3ac1..0000000 --- a/paper/paper.bib +++ /dev/null @@ -1,611 +0,0 @@ -@article{Pearson:2017, - url = {http://adsabs.harvard.edu/abs/2017arXiv170304627P}, - Archiveprefix = {arXiv}, - Author = {{Pearson}, S. and {Price-Whelan}, A.~M. and {Johnston}, K.~V.}, - Eprint = {1703.04627}, - Journal = {ArXiv e-prints}, - Keywords = {Astrophysics - Astrophysics of Galaxies}, - Month = mar, - Title = {{Gaps in Globular Cluster Streams: Pal 5 and the Galactic Bar}}, - Year = 2017 -} - -@book{Binney:2008, - url = {http://adsabs.harvard.edu/abs/2008gady.book.....B}, - Author = {{Binney}, J. and {Tremaine}, S.}, - Booktitle = {Galactic Dynamics: Second Edition, by James Binney and Scott Tremaine.~ISBN 978-0-691-13026-2 (HB).~Published by Princeton University Press, Princeton, NJ USA, 2008.}, - Publisher = {Princeton University Press}, - Title = {{Galactic Dynamics: Second Edition}}, - Year = 2008 -} - -@article{gaia, - author = {{Gaia Collaboration}}, - title = "{The Gaia mission}", - journal = {Astronomy and Astrophysics}, - archivePrefix = "arXiv", - eprint = {1609.04153}, - primaryClass = "astro-ph.IM", - keywords = {space vehicles: instruments, Galaxy: structure, astrometry, parallaxes, proper motions, telescopes}, - year = 2016, - month = nov, - volume = 595, - doi = {10.1051/0004-6361/201629272}, - url = {http://adsabs.harvard.edu/abs/2016A%26A...595A...1G}, -} - -@article{astropy, - author = {{Astropy Collaboration}}, - title = "{Astropy: A community Python package for astronomy}", - journal = {Astronomy and Astrophysics}, - archivePrefix = "arXiv", - eprint = {1307.6212}, - primaryClass = "astro-ph.IM", - keywords = {methods: data analysis, methods: miscellaneous, virtual observatory tools}, - year = 2013, - month = oct, - volume = 558, - doi = {10.1051/0004-6361/201322068}, - url = {http://adsabs.harvard.edu/abs/2013A%26A...558A..33A} -} - -@misc{fidgit, - author = {A. M. Smith and K. Thaney and M. Hahnel}, - title = {Fidgit: An ungodly union of GitHub and Figshare}, - year = {2020}, - publisher = {GitHub}, - journal = {GitHub repository}, - url = {https://github.com/arfon/fidgit} -} - -@MastersThesis{Yi2022, - author = {Yi, Wenbo}, - school = {University of Oslo}, - title = {When Hearts Beat as One – Cardiac Dynamics and Synchrony in String Quartet Performances}, - year = {2022}, - url = {https://www.duo.uio.no/handle/10852/96059}, -} - -@Article{Gilpin2021, - author = {Gilpin, William}, - journal = {NeurIPS (Neural Information Processing Systems) 2021}, - title = {Chaos as an interpretable benchmark for forecasting and data-driven modelling}, - year = {2021}, - month = oct, - abstract = {The striking fractal geometry of strange attractors underscores the generative nature of chaos: like probability distributions, chaotic systems can be repeatedly measured to produce arbitrarily-detailed information about the underlying attractor. Chaotic systems thus pose a unique challenge to modern statistical learning techniques, while retaining quantifiable mathematical properties that make them controllable and interpretable as benchmarks. Here, we present a growing database currently comprising 131 known chaotic dynamical systems spanning fields such as astrophysics, climatology, and biochemistry. Each system is paired with precomputed multivariate and univariate time series. Our dataset has comparable scale to existing static time series databases; however, our systems can be re-integrated to produce additional datasets of arbitrary length and granularity. Our dataset is annotated with known mathematical properties of each system, and we perform feature analysis to broadly categorize the diverse dynamics present across the collection. Chaotic systems inherently challenge forecasting models, and across extensive benchmarks we correlate forecasting performance with the degree of chaos present. We also exploit the unique generative properties of our dataset in several proof-of-concept experiments: surrogate transfer learning to improve time series classification, importance sampling to accelerate model training, and benchmarking symbolic regression algorithms.}, - archiveprefix = {arXiv}, - comment = {Cited old tsp paper}, - copyright = {arXiv.org perpetual, non-exclusive license}, - doi = {10.48550/ARXIV.2110.05266}, - eprint = {2110.05266}, - file = {:Gilpin2021 - Chaos As an Interpretable Benchmark for Forecasting and Data Driven Modelling.pdf:PDF}, - keywords = {Machine Learning (cs.LG), Signal Processing (eess.SP), Chaotic Dynamics (nlin.CD), FOS: Computer and information sciences, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Physical sciences}, - primaryclass = {cs.LG}, - publisher = {arXiv}, -} - - -@Article{Myers2023, - author = {Myers, Audun D. and Muñoz, David and Khasawneh, Firas A and Munch, Elizabeth}, - journal = {EPJ Data Science}, - title = {Temporal network analysis using zigzag persistence}, - year = {2023}, - issn = {2193-1127}, - month = mar, - number = {1}, - volume = {12}, - doi = {10.1140/epjds/s13688-023-00379-5}, - publisher = {Springer Science and Business Media LLC}, -} - - -@Article{Myers2023a, - author = {Myers, Audun D. and Chumley, Max M. and Khasawneh, Firas A. and Munch, Elizabeth}, - journal = {Physical Review E}, - title = {Persistent homology of coarse-grained state-space networks}, - year = {2023}, - issn = {2470-0053}, - month = mar, - number = {3}, - pages = {034303}, - volume = {107}, - doi = {10.1103/physreve.107.034303}, - publisher = {American Physical Society (APS)}, -} - - -@Article{Guezel2022, - author = {Güzel, İsmail and Munch, Elizabeth and Khasawneh, Firas A.}, - journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science}, - title = {Detecting bifurcations in dynamical systems with CROCKER plots}, - year = {2022}, - issn = {1089-7682}, - month = sep, - number = {9}, - volume = {32}, - doi = {10.1063/5.0102421}, - publisher = {AIP Publishing}, -} - - -@Article{Myers2023c, - author = {Myers, Audun D. and Khasawneh, Firas A. and Munch, Elizabeth}, - journal = {SIAM Journal on Applied Dynamical Systems}, - title = {Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection}, - year = {2023}, - issn = {1536-0040}, - month = feb, - number = {1}, - pages = {65--89}, - volume = {22}, - doi = {10.1137/22m1476848}, - publisher = {Society for Industrial & Applied Mathematics (SIAM)}, -} - -@Article{Jones2023, - author = {Jones, Benjamin and Wei, Guowei}, - title = {Persistent Directed Flag Laplacian}, - year = {2023}, - month = dec, - abstract = {Topological data analysis (TDA) has had enormous success in science and engineering in the past decade. Persistent topological Laplacians (PTLs) overcome some limitations of persistent homology, a key technique in TDA, and provide substantial insight to the behavior of various geometric and topological objects. This work extends PTLs to directed flag complexes, which are an exciting generalization to flag complexes, also known as clique complexes, that arise naturally in many situations. We introduce the directed flag Laplacian and show that the proposed persistent directed flag Laplacian (PDFL) is a distinct way of analyzing these flag complexes. Example calculations are provided to demonstrate the potential of the proposed PDFL in real world applications.}, - archiveprefix = {arXiv}, - copyright = {Creative Commons Attribution 4.0 International}, - doi = {10.48550/ARXIV.2312.02099}, - eprint = {2312.02099}, - file = {:Jones2023 - Persistent Directed Flag Laplacian.pdf:PDF}, - keywords = {Algebraic Topology (math.AT), FOS: Mathematics}, - primaryclass = {math.AT}, - publisher = {arXiv}, -} - - -@Article{Tanweer2024_FODS, - author = {Tanweer, Sunia and Khasawneh, Firas A. and Munch, Elizabeth}, - journal = {Foundations of Data Science}, - title = {Robust crossings detection in noisy signals using topological signal processing}, - year = {2024}, - issn = {2639-8001}, - number = {2}, - pages = {154--171}, - volume = {6}, - doi = {10.3934/fods.2024006}, - publisher = {American Institute of Mathematical Sciences (AIMS)}, -} - -@PhdThesis{Collins2022, - author = {Collins,Joseph R.}, - title = {Topological Time-Series Classification}, - year = {2022}, - note = {Copyright - Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works; Last updated - 2023-08-04}, - abstract = {We establish a strong connection between Topological Data Analysis (TDA)and the field of time-series classification. This is accomplished via two novel contributions. The first is a method for extracting topological information from a timeseries in a manner which circumvents the expensive computation normally required. The second is an adaption of an existing topological summary to create an efficient topological time-series pooling operator. Taken together, these insights enable anew classifier, TopRocket (Topological Random Convolutional Kernel Transform).Using standard comparison methods, TopRocket ranks second among all univariate time-series classifiers. Further, TopRocket is the best performing scalable classifier. As a final contribution, we provide the fastest available implementation of the algorithm for computing time-series sublevel set persistence. This provides a foundation for further investigation of TDA for time-series classification.This work lies at the intersection of TDA and machine learning, where success is dependent on efficiently extracting topological information from data and using that information with downstream models. For this purpose, we develop an efficient, data-based, topological summary, the Betti pooling operator. We rigorously demonstrate the utility of TopRocket by evaluating its performance against the University of California Riverside (UCR) Time Series Archive, a widely used benchmark collection of data sets. TopRocket is the first TDA-based classifier to obtain state-of-the art results on any similarly competitive problem. We strongly believe that TDA will play a central role in the future of machine learning.}, - isbn = {9798802715796}, - journal = {ProQuest Dissertations and Theses}, - keywords = {Machine learning; Time-series classification; Topological data analysis; Computer science; 0984:Computer science}, - language = {English}, - pages = {105}, - url = {https://ezproxy.msu.edu/login?url=https://www.proquest.com/dissertations-theses/topological-time-series-classification/docview/2671576993/se-2}, -} - -@PhdThesis{Tymochko2022, - author = {Tymochko,Sarah}, - title = {Topological Approaches for Quantifying the Shape of Time Series Data}, - year = {2022}, - note = {Copyright - Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works; Last updated - 2024-02-16}, - abstract = {Topological data analysis (TDA) is field that started only two decades ago and has already shown promise both in theory and in applications. The goal of TDA is to quantify the shape of data in a manner that is concise and robust using concepts from algebraic topology. Persistent homology, arguably the most popular tool from TDA, studies the shape of a filtered space by watching how its homology changes. The output of persistent homology is a persistence diagram, which encodes information about the changing homology. Persistent homology has shown success in various application areas; one ever growing area of study in this field is time series analysis. Nonlinear time series analysis is a research field in and of itself that aims to capture structure in time series data, however, it lacks theoretically justified tools to analyze the resulting structure. Persistent homology comes with a solid theoretical framework, is robust to noise, and quantifies the same type of structure as appears in time series data. Thus combining tools from time series analysis and TDA provides a new approach to analyze and quantify behavior in time series data. One field where time series are prevalent is dynamical systems, since a time series arises from a projection of a solution to a system. Specifically, given a time series, Takens' theorem can be leveraged to embed the time series as a point cloud in a higher dimensional space, where this point cloud is a sampling of the full state space. Then for each time series, persistent homology can be computed on the embedding. The result is a persistence diagram for each time series. The question then becomes how do we analyze this collection of persistence diagrams to learn something about the original time series data? Many people have developed methods to answer this question, through methods such as machine learning or statistics. This dissertation provides several new methods leveraging tools from both TDA and nonlinear time series analysis to study time varying data.}, - isbn = {979-8-209-98467-2}, - journal = {ProQuest Dissertations and Theses}, - keywords = {Applied topology; Signal processing; Time series analysis; Topological data analysis; Applied mathematics; Mathematics; 0364:Applied Mathematics; 0405:Mathematics}, - language = {English}, - pages = {123}, - url = {https://ezproxy.msu.edu/login?url=https://www.proquest.com/dissertations-theses/topological-approaches-quantifying-shape-time/docview/2649015601/se-2}, -} - -@Article{Elchesen2022, - author = {Elchesen, Alex and Hartsock, Iryna and Perea, Jose A. and Rask, Tatum}, - title = {Learning on Persistence Diagrams as Radon Measures}, - year = {2022}, - month = dec, - abstract = {Persistence diagrams are common descriptors of the topological structure of data appearing in various classification and regression tasks. They can be generalized to Radon measures supported on the birth-death plane and endowed with an optimal transport distance. Examples of such measures are expectations of probability distributions on the space of persistence diagrams. In this paper, we develop methods for approximating continuous functions on the space of Radon measures supported on the birth-death plane, as well as their utilization in supervised learning tasks. Indeed, we show that any continuous function defined on a compact subset of the space of such measures (e.g., a classifier or regressor) can be approximated arbitrarily well by polynomial combinations of features computed using a continuous compactly supported function on the birth-death plane (a template). We provide insights into the structure of relatively compact subsets of the space of Radon measures, and test our approximation methodology on various data sets and supervised learning tasks.}, - archiveprefix = {arXiv}, - copyright = {arXiv.org perpetual, non-exclusive license}, - doi = {10.48550/ARXIV.2212.08295}, - eprint = {2212.08295}, - file = {:Elchesen2022 - Learning on Persistence Diagrams As Radon Measures.pdf:PDF:http\://arxiv.org/pdf/2212.08295v1}, - keywords = {Computational Geometry (cs.CG), Machine Learning (cs.LG), Algebraic Topology (math.AT), FOS: Computer and information sciences, FOS: Mathematics, 55N31}, - primaryclass = {cs.CG}, - publisher = {arXiv}, -} - -@Article{Chumley2023, - author = {Chumley, Max M. and Yesilli, Melih C. and Chen, Jisheng and Khasawneh, Firas A. and Guo, Yang}, - journal = {Precision Engineering}, - title = {Pattern characterization using topological data analysis: Application to piezo vibration striking treatment}, - year = {2023}, - issn = {0141-6359}, - month = sep, - pages = {42--57}, - volume = {83}, - doi = {10.1016/j.precisioneng.2023.05.005}, - publisher = {Elsevier BV}, -} - -@InProceedings{Tymochko2019, - author = {Tymochko, Sarah and Munch, Elizabeth and Khasawneh, Firas A.}, - booktitle = {2019 18th IEEE International Conference On Machine Learning And Applications (ICMLA)}, - title = {Adaptive Partitioning for Template Functions on Persistence Diagrams}, - year = {2019}, - month = dec, - publisher = {IEEE}, - doi = {10.1109/icmla.2019.00202}, -} - -@Article{Myers2022, - author = {Myers, Audun D. and Khasawneh, Firas A. and Fasy, Brittany T.}, - journal = {Foundations of Data Science}, - title = {ANAPT: Additive noise analysis for persistence thresholding}, - year = {2022}, - issn = {2639-8001}, - number = {2}, - pages = {243}, - volume = {4}, - doi = {10.3934/fods.2022005}, - publisher = {American Institute of Mathematical Sciences (AIMS)}, -} - -@Article{Perea2022, - author = {Perea, Jose A. and Munch, Elizabeth and Khasawneh, Firas A.}, - journal = {Foundations of Computational Mathematics}, - title = {Approximating Continuous Functions on Persistence Diagrams Using Template Functions}, - year = {2022}, - issn = {1615-3383}, - month = jun, - number = {4}, - pages = {1215--1272}, - volume = {23}, - doi = {10.1007/s10208-022-09567-7}, - publisher = {Springer Science and Business Media LLC}, -} - -@Article{Bauer2021, - author = {Bauer, Ulrich}, - journal = {J. Appl. Comput. Topol.}, - title = {Ripser: efficient computation of {V}ietoris-{R}ips persistence barcodes}, - year = {2021}, - issn = {2367-1726}, - number = {3}, - pages = {391--423}, - volume = {5}, - doi = {10.1007/s41468-021-00071-5}, - fjournal = {Journal of Applied and Computational Topology}, - mrclass = {55N31 (55-04)}, - mrnumber = {4298669}, - url = {https://doi.org/10.1007/s41468-021-00071-5}, -} - -@Misc{Saul2019, - author = {Nathaniel Saul and Chris Tralie}, - title = {Scikit-TDA: Topological Data Analysis for Python}, - year = {2019}, - doi = {10.5281/zenodo.2533369}, - url = {https://doi.org/10.5281/zenodo.2533369}, -} - -@Article{Otter2017, - author = {Nina Otter and Mason A Porter and Ulrike Tillmann and Peter Grindrod and Heather A Harrington}, - journal = {{EPJ} Data Science}, - title = {A roadmap for the computation of persistent homology}, - year = {2017}, - month = {aug}, - number = {1}, - volume = {6}, - creationdate = {2017-11-01T00:00:00}, - doi = {10.1140/epjds/s13688-017-0109-5}, - file = {:Persistence/Computation/Otter2017.pdf:PDF}, - publisher = {Springer Nature}, -} - -@Other{Boissonnat2016, - author = {Jean-Daniel Boissonnat and Marc Glisse and Miroslav Kramar and Cl\'ement Maria and Vincent Rouvreau}, - creationdate = {2018-04-12T00:00:00}, - file = {Bauer2016a.pdf:Bauer2016a.pdf:PDF}, - howpublished = {\url{http://gudhi.gforge.inria.fr/}}, - readstatus = {read}, - title = {{GUDHI}: Geometry Understanding in Higher Dimensions}, - url = {http://gudhi.gforge.inria.fr/}, - year = {2016}, -} - -@Misc{Tauzin2020, - author = {Guillaume Tauzin and Umberto Lupo and Lewis Tunstall and Julian Burella Pérez and Matteo Caorsi and Anibal Medina-Mardones and Alberto Dassatti and Kathryn Hess}, - title = {giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration}, - year = {2020}, - archiveprefix = {arXiv}, - eprint = {2004.02551}, - primaryclass = {cs.LG}, -} - -@Other{Morozov2019, - author = {Dmitriy Morozov}, - groups = {Persistence - Theory}, - howpublished = {\url{http://www.mrzv.org/software/dionysus2/}}, - title = {Dionysus2}, - year = {2019}, -} - -@Article{Fasy2014, - author = {Brittany Terese Fasy and Jisu Kim and Fabrizio Lecci and Clément Maria}, - title = {Introduction to the R package TDA}, - year = {2014}, - month = nov, - abstract = {We present a short tutorial and introduction to using the R package TDA, which provides some tools for Topological Data Analysis. In particular, it includes implementations of functions that, given some data, provide topological information about the underlying space, such as the distance function, the distance to a measure, the kNN density estimator, the kernel density estimator, and the kernel distance. The salient topological features of the sublevel sets (or superlevel sets) of these functions can be quantified with persistent homology. We provide an R interface for the efficient algorithms of the C++ libraries GUDHI, Dionysus and PHAT, including a function for the persistent homology of the Rips filtration, and one for the persistent homology of sublevel sets (or superlevel sets) of arbitrary functions evaluated over a grid of points. The significance of the features in the resulting persistence diagrams can be analyzed with functions that implement recently developed statistical methods. The R package TDA also includes the implementation of an algorithm for density clustering, which allows us to identify the spatial organization of the probability mass associated to a density function and visualize it by means of a dendrogram, the cluster tree.}, - archiveprefix = {arXiv}, - creationdate = {2019-11-11T00:00:00}, - eprint = {http://arxiv.org/abs/1411.1830v2}, - file = {:Fasy2014 - Introduction to the R Package TDA.pdf:PDF:http\://arxiv.org/pdf/1411.1830v2}, - keywords = {cs.MS, cs.CG, stat.CO}, - primaryclass = {cs.MS}, -} - -@InProceedings{BinMasood2019, - author = {Bin Masood, Talha and Budin, Joseph and Falk, Martin and Favelier, Guillaume and Garth, Christoph and Gueunet, Charles and Guillou, Pierre and Hofmann, Lutz and Hristov, Petar and Kamakshidasan, Adhitya and Kappe, Christopher and Klacansky, Pavol and Laurin, Patrick and Levine, Joshua and Lukasczyk, Jonas and Sakurai, Daisuke and Soler, Maxime and Steneteg, Peter and Tierny, Julien and Usher, Will and Vidal, Jules and Wozniak, Michal}, - booktitle = {{TopoInVis}}, - title = {{An Overview of the Topology ToolKit}}, - year = {2019}, -} - -@Book{Dey2021, - author = {Dey, Tamal K. and Wang, Yusu}, - publisher = {Cambridge University Press}, - title = {Computational Topology for Data Analysis}, - year = {2021}, - file = {:MathTextbooks/DeyWang-CTDAbook.pdf:PDF}, -} - -@Article{Bubenik2015, - author = {Peter Bubenik}, - journal = {Journal of Machine Learning Research}, - title = {Statistical Topological Data Analysis using Persistence Landscapes}, - year = {2015}, - pages = {77-102}, - volume = {16}, - creationdate = {2018-08-04T00:00:00}, - file = {Bubenik2015.pdf:Persistence/StatsAndPersistence/Bubenik2015.pdf:PDF}, - keywords = {relevant featurization}, - url = {http://jmlr.org/papers/v16/bubenik15a.html}, -} - -@Article{Adams2017, - author = {Henry Adams and Tegan Emerson and Michael Kirby and Rachel Neville and Chris Peterson and Patrick Shipman and Sofya Chepushtanova and Eric Hanson and Francis Motta and Lori Ziegelmeier}, - journal = {Journal of Machine Learning Research}, - title = {Persistence Images: A Stable Vector Representation of Persistent Homology}, - year = {2017}, - number = {8}, - pages = {1-35}, - volume = {18}, - creationdate = {2018-08-04T00:00:00}, - file = {:MachineLearning/Adams2017.pdf:PDF}, - keywords = {featurization}, - url = {http://jmlr.org/papers/v18/16-337.html}, -} - -@Article{Adcock2016, - author = {Aaron Adcock and Erik Carlsson and Gunnar Carlsson}, - journal = {Homology, Homotopy and Applications}, - title = {The Ring of Algebraic Functions on Persistence Bar Codes}, - year = {2016}, - number = {1}, - pages = {381-402}, - volume = {18}, - creationdate = {2018-08-04T00:00:00}, - doi = {10.4310/HHA.2016.v18.n1.a21}, - file = {Adcock2012.pdf:Persistence/Adcock2012.pdf:PDF;:Persistence/StatsAndPersistence/Machine Learning/Adcock201_HHA_Version.pdf:PDF}, - groups = {Applications of Persistence}, - keywords = {featurization}, - quality = {1}, - ranking = {rank5}, - readstatus = {read}, -} - -@Article{Dey2022, - doi = {10.48550/arxiv.2204.11080}, - url = {https://arxiv.org/abs/2204.11080}, - author = {Dey, Tamal K. and Hou, Tao}, - keywords = {Computational Geometry (cs.CG), Algebraic Topology (math.AT), FOS: Computer and information sciences, FOS: Computer and information sciences, FOS: Mathematics, FOS: Mathematics}, - title = {Fast Computation of Zigzag Persistence}, - publisher = {arXiv}, - year = {2022}, - copyright = {arXiv.org perpetual, non-exclusive license} -} - -@Article{Munch2017, - author = {Elizabeth Munch}, - journal = {Journal of Learning Analytics}, - title = {A User's Guide to Topological Data Analysis}, - year = {2017}, - number = {2}, - volume = {4}, - abstract = {Topological data analysis (TDA) is a collection of powerful tools that can quantify shape and structure in data in order to answer questions from the data's domain. This is done by representing some aspect of the structure of the data in a simplified topological signature. In this article, we introduce two of the most commonly used topological signatures. First, the persistence diagram represents loops and holes in the space by considering connectivity of the data points for a continuum of values rather than a single fixed value. The second topological signature, the mapper graph, returns a 1-dimensional structure representing the shape of the data, and is particularly good for exploration and visualization of the data. While these techniques are based on very sophisticated mathematics, the current ubiquity of available software means that these tools are more accessible than ever to be applied to data by researchers in education and learning, as well as all domain scientists.}, - creationdate = {2018-05-30T00:00:00}, - doi = {10.18608/jla.2017.42.6}, -} - -@Article{Wang2016, - author = {Wang, Minggang and Tian, Lixin}, - journal = {Physica A: Statistical Mechanics and its Applications}, - title = {From time series to complex networks: The phase space coarse graining}, - year = {2016}, - issn = {0378-4371}, - month = nov, - pages = {456--468}, - volume = {461}, - doi = {10.1016/j.physa.2016.06.028}, - publisher = {Elsevier BV}, -} - -@Article{Tanweer2024_NODY, - author = {Tanweer, Sunia and Khasawneh, Firas A. and Munch, Elizabeth and Tempelman, Joshua R.}, - journal = {Nonlinear Dynamics}, - title = {A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems}, - year = {2024}, - issn = {1573-269X}, - month = feb, - number = {6}, - pages = {4687–4703}, - volume = {112}, - doi = {10.1007/s11071-024-09289-1}, - publisher = {Springer Science and Business Media LLC}, - url = {http://dx.doi.org/10.1007/s11071-024-09289-1}, -} - -@Article{Tanweer2024_PREM, - author = {Tanweer, Sunia and Khasawneh, Firas A.}, - journal = {Probabilistic Engineering Mechanics}, - title = {Topological detection of phenomenological bifurcations with unreliable kernel density estimates}, - year = {2024}, - issn = {0266-8920}, - month = apr, - pages = {103634}, - volume = {76}, - doi = {10.1016/j.probengmech.2024.103634}, - publisher = {Elsevier BV}, - url = {http://dx.doi.org/10.1016/j.probengmech.2024.103634}, -} - -@Conference{Myers2020, - author = {Myers, Audun D. and Melih Yesilli and Sarah Tymochko and Firas Khasawneh and Elizabeth Munch}, - booktitle = {Topological Data Analysis and Beyond Workshop at NeurIPS 2020}, - title = {Teaspoon: A comprehensive python package for topological signal processing}, - year = {2020}, - image = {teaspoon.png}, - keywords = {conference}, - url = {https://openreview.net/pdf?id=qUoVqrIcy2P}, -} - -@Article{CrawleyBoevey2015, - author = {Crawley-Boevey, William}, - journal = {Journal of Algebra and Its Applications}, - title = {Decomposition of pointwise finite-dimensional persistence modules}, - year = {2015}, - issn = {1793-6829}, - month = mar, - number = {05}, - pages = {1550066}, - volume = {14}, - doi = {10.1142/s0219498815500668}, - publisher = {World Scientific Pub Co Pte Lt}, -} - -@InProceedings{Myers2023b, - author = {Myers, Audun D. and Kvinge, Henry and Emerson, Tegan}, - booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, - title = {TopFusion: Using Topological Feature Space for Fusion and Imputation in Multi-Modal Data}, - year = {2023}, - month = {June}, - pages = {600-609}, - doi = {10.1109/cvprw59228.2023.00067} -} - -@Article{Chevyrev2018, - author={Chevyrev, Ilya and Nanda, Vidit and Oberhauser, Harald}, - journal={IEEE Transactions on Pattern Analysis and Machine Intelligence}, - title={Persistence Paths and Signature Features in Topological Data Analysis}, - year={2020}, - volume={42}, - number={1}, - pages={192-202}, - keywords={Bars;Extraterrestrial measurements;Algebra;Data analysis;Kernel;Topological data analysis;barcodes;signature features;kernel learning}, - doi={10.1109/TPAMI.2018.2885516}} - - -@InProceedings{Reininghaus2015, - author={Reininghaus, Jan and Huber, Stefan and Bauer, Ulrich and Kwitt, Roland}, - booktitle={2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)}, - title={A stable multi-scale kernel for topological machine learning}, - year={2015}, - volume={}, - number={}, - pages={4741-4748}, - keywords={Yttrium}, - doi={10.1109/CVPR.2015.7299106}} - -@Article{McCullough2015, - author = {McCullough, Michael and Small, Michael and Stemler, Thomas and Iu, Herbert Ho-Ching}, - title = {Time lagged ordinal partition networks for capturing dynamics of continuous dynamical systems}, - journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science}, - year = {2015}, - volume = {25}, - number = {5}, - pages = {053101}, - doi = {10.1063/1.4919075}, - file = {:Dynamics/McCullough2015.pdf:PDF;McCullough2015-arxiv.pdf:Dynamics/TSA/McCullough2015-arxiv.pdf:PDF}, - publisher = {AIP Publishing}, -} - - -@article{myers2024delay, - title={Delay parameter selection in permutation entropy using topological data analysis}, - author={Myers, Audun D and Chumley, Max M and Khasawneh, Firas A}, - journal={La Matematica}, - pages={1--34}, - year={2024}, - publisher={Springer}, - doi = {10.1007/s44007-024-00110-4} -} - -@article{chelidze2017reliable, - title={Reliable estimation of minimum embedding dimension through statistical analysis of nearest neighbors}, - author={Chelidze, David}, - journal={Journal of Computational and Nonlinear Dynamics}, - volume={12}, - number={5}, - pages={051024}, - year={2017}, - publisher={American Society of Mechanical Engineers}, - doi = {10.1115/1.4036814} -} - -@article{cao1997practical, - title={Practical method for determining the minimum embedding dimension of a scalar time series}, - author={Cao, Liangyue}, - journal={Physica D: Nonlinear Phenomena}, - volume={110}, - number={1-2}, - pages={43--50}, - year={1997}, - publisher={Elsevier}, - doi = {10.1016/s0167-2789(97)00118-8} -} - -@Book{Hatcher, - author = {Allen Hatcher}, - publisher = {Cambridge University Press}, - title = {Algebraic Topology}, - year = {2002}, - creationdate = {2011-05-23T00:00:00}, - file = {Hatcher - algebraic topology.pdf:MathTextbooks/Hatcher - algebraic topology.pdf:PDF}, - groups = {Classic Textbooks}, - owner = {liz}, -} - -@Article{Munch2025, - author = {Munch, Elizabeth}, - journal = {The American Mathematical Monthly}, - title = {An Invitation to the Euler Characteristic Transform}, - year = {2025}, - number = {1}, - pages = {15--25}, - volume = {132}, - abstract = {The Euler characteristic transform (ECT) is a simple to define yet powerful representation of shape. The idea is to encode an embedded shape using sub-level sets of a a function defined based on a given direction, and then returning the Euler characteristics of these sublevel sets. Because the ECT has been shown to be injective on the space of embedded simplicial complexes, it has been used for applications spanning a range of disciplines, including plant morphology and protein structural analysis. In this survey article, we present a comprehensive overview of the Euler characteristic transform, highlighting the main idea on a simple leaf example, and surveying its its key concepts, theoretical foundations, and available applications.}, - archiveprefix = {arXiv}, - comment = {The work of EM is funded in part by the National Science Foundation through CCF-1907591, CCF-2106578, CCF-2142713, IOS-2310355, IOS-2310356, and IOS-2310357.}, - copyright = {arXiv.org perpetual, non-exclusive license}, - doi = {10.1080/00029890.2024.2409616}, - eprint = {2310.10395}, - file = {:Munch2023 - An Invitation to the Euler Characteristic Transform.pdf:PDF}, - image = {Munch2023.png}, - keywords = {Computational Geometry (cs.CG),FOS: Computer and information sciences,journal}, - primaryclass = {cs.CG}, - publisher = {Taylor \& Francis}, -} - -@Comment{jabref-meta: databaseType:bibtex;} diff --git a/paper/paper.md b/paper/paper.md deleted file mode 100644 index 241a1a9..0000000 --- a/paper/paper.md +++ /dev/null @@ -1,125 +0,0 @@ ---- -title: 'ECT: A Python Package for the Euler Characteristic Transform' -tags: - - Python - - Topological Data Analysis - - Euler Characteristic -authors: - - name: Elizabeth Munch - corresponding: true # (This is how to denote the corresponding author) - affiliation: 1 - orcid: 0000-0002-9459-9493 - - name: Yemeen Ayub - affiliation: 1 - orcid: 0000-0000-0000-0000 - - name: Dan Chitwood - affiliation: 1 - orcid: 0000-0000-0000-0000 - - name: Sarah McGuire - affiliation: 2 - orcid: 0000-0000-0000-0000 -affiliations: - - name: Michigan State University, East Lansing, MI, USA - index: 1 - - name: Pacific Northwest National Lab (PNNL), USA - index: 2 -date: Jan 2025 -bibliography: paper.bib - -# Optional fields if submitting to a AAS journal too, see this blog post: -# https://blog.joss.theoj.org/2018/12/a-new-collaboration-with-aas-publishings -# aas-doi: 10.3847/xxxxx <- update this with the DOI from AAS once you know it. -# aas-journal: Astrophysical Journal <- The name of the AAS journal. ---- - -# Summary - -The field of Topological Data Analysis encodes the shape of data in quantifiable representations of the information, sometimes called "topological signatures" or "topological summaries". -The goal is to ensure that these summaries are robust enough to be useable in the face of noise, while having access to fast enough algorithms to make them useful in practice. -Often, these two goals are at odds with each other since the more complex the representation in order to retain as much information as possible generally results in larger computation time. -The Euler Characteristic Transform (ECT) is a construction which is rapidly gaining popularity in Topological Data Analysis settings due to its ability to be both at once: robust to the input providing a provably complete representation of an input embedded shape, while being much faster to compute than its commonly used cousin, the Persistent Homology Transform. -The *ECT* package for Python presented here provides a fast and well-documented implementation of the ECT for graphs embedded in 2 or 3 dimensions. This new package is particularly timely since access to easy-to-use code will make the ECT accessible to more practitioners and domain scientists interested in using it for applications. ***TODO Assuming we actually have this up to 3d*** - -# The ECT - -**TODO: Get permission for the Matisse example image** - -We start by defining the Euler Characteristic Transform, and direct the reader to [@Munch2025] for a full survey article on the subject. - -To start, we assume our input is an undirected graph $G$ with an embedding in 2D given by a map on the vertices $f: V(G) \to \mathbb{R}^2$. A graph can be constructed as follows. - -![An example of an embedded graph](figures/example_graph.png) - -For a choice of direction $\theta \in [0,2\pi]$, we can induce a function on the vertex set. -Thinking of this as $\omega \in \mathbb{S}^1$ by defining the unit vector $\omega = (\cos(\theta), \sin(\theta))$, the function $g_\omega$ is defined on the vertices of $G$ by taking the dot product of the embedding coordinates with the unit vector, specifically -$$ -g_\omega(v) = \langle f(v), \omega\rangle. -$$ - - -Some examples are shown below. - -![Example 1](figures/example_graph_pi_over_2.png) -![Example 2](figures/example_graph_pi_over_2.png) - -Now we can set up the ECT for the embedded graph. The ECT is defined as -$$ -\begin{matrix} -\text{ECT}(G): & \mathbb{S}^1 & \to & \text{Func}(\mathbb{R}, \mathbb{Z})\\ -& \omega & \mapsto & \{ a \mapsto \chi(g_\omega^{-1}(-\infty,a]) \} -\end{matrix} -$$ -Perhaps a better way of looking at this same function for visualization purposes is to treat this function as defined on a cylinder, -$$ -\begin{matrix} -\text{ECT}(G): & \mathbb{S}^1 \times \mathbb{R} & \to & \mathbb{Z}\\ -& (\omega,a) & \mapsto & \chi(g_\omega^{-1}(-\infty,a]) -\end{matrix} -$$ -After discretizing, the example embedded graph has an ECT matrix as shown below. -![Example ECT](figures/example_ect.png) - -The main functionality of the package is to be able to compute the ECT matrix for graphs embedded in $\mathbb{R}^d$ for $d \in \{2,3\}$. -Additional functionality is given for embedded CW complexes, such as the example shown below. - -## Extension to higher dimensional embedding - -**TODO: If we're going to have 3D stuff implemented, we need the version for that descibed.** - -## Extension to higher dimensional cells - -**TODO: add in stuff about the CW complex inputs** - -## Distances - -Additional code is included for computing distances between the resulting ECT matrices. - -![MDS of Matisse](figures/Matisse_MDS.png) - -## Generalized versions of ECT - -SECT, DECT, whatever else? - -# Statement of need - -**TODO: Are there any existing ECT packages?** - -Yemeen is going to find any needed references. - -- DECT -- Demeter -- - -# Representative Publications Using ECT - -Have we actually used it yet? - -# Acknowledgements - -This material is based in part upon work supported in part by the National Science Foundation through grants -CCF-1907591, -CCF-2106578, -and CCF-2142713. -**Get the rest?** - -# References From ebfbe39b485be78cbb53ea102a217b706cde1a66 Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Sat, 18 Jan 2025 10:06:19 -0500 Subject: [PATCH 11/14] Fixed it! --- doc_source/notebooks/Tutorial-ExactECT.ipynb | 56 +++++++++++++++--- .../notebooks_Tutorial-ExactECT_3_1.png | Bin 34875 -> 22908 bytes .../notebooks_Tutorial-ExactECT_4_1.png | Bin 0 -> 34694 bytes ...ng => notebooks_Tutorial-ExactECT_6_2.png} | Bin docs/_modules/ect/embed_graph.html | 41 +++++++++---- .../notebooks/Tutorial-ExactECT.ipynb.txt | 56 +++++++++++++++--- docs/doctrees/ect_on_graphs.doctree | Bin 133055 -> 133055 bytes docs/doctrees/embed_cw.doctree | Bin 186090 -> 186090 bytes docs/doctrees/embed_graph.doctree | Bin 346317 -> 348506 bytes docs/doctrees/environment.pickle | Bin 856821 -> 863201 bytes .../notebooks/Tutorial-ExactECT.ipynb | 56 +++++++++++++++--- .../notebooks_Tutorial-ExactECT_3_1.png | Bin 34875 -> 22908 bytes .../notebooks_Tutorial-ExactECT_4_1.png | Bin 0 -> 34694 bytes ...ng => notebooks_Tutorial-ExactECT_6_2.png} | Bin .../notebooks/Matisse/Matisse_ECT.doctree | Bin 31304 -> 31304 bytes .../notebooks/Tutorial-ExactECT.doctree | Bin 20497 -> 23070 bytes docs/embed_graph.html | 7 ++- docs/notebooks/Tutorial-ExactECT.html | 54 +++++++++++++---- docs/notebooks/Tutorial-ExactECT.ipynb | 56 +++++++++++++++--- docs/searchindex.js | 2 +- ect/ect/embed_graph.py | 41 +++++++++---- 21 files changed, 298 insertions(+), 71 deletions(-) create mode 100644 docs/_images/notebooks_Tutorial-ExactECT_4_1.png rename docs/_images/{notebooks_Tutorial-ExactECT_5_2.png => notebooks_Tutorial-ExactECT_6_2.png} (100%) create mode 100644 docs/doctrees/nbsphinx/notebooks_Tutorial-ExactECT_4_1.png rename docs/doctrees/nbsphinx/{notebooks_Tutorial-ExactECT_5_2.png => notebooks_Tutorial-ExactECT_6_2.png} (100%) diff --git a/doc_source/notebooks/Tutorial-ExactECT.ipynb b/doc_source/notebooks/Tutorial-ExactECT.ipynb index f5f05fc..a341a75 100644 --- a/doc_source/notebooks/Tutorial-ExactECT.ipynb +++ b/doc_source/notebooks/Tutorial-ExactECT.ipynb @@ -49,7 +49,47 @@ }, { "data": { - "image/png": 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tX76c1atXT/Lvvn37MgMDA6m6Fi9erNBrVCZZWmMlJSXsxIkTbMCAAQwACwkJkZxLaqeqUYlCoZCdOXOGDR48mAFgK1euZIxp9jGDHj16sJ07dzLGyv4mrK2t2YULFyTHxS2xevXqMVNTU2ZgYMAAsNmzZ8tdV2lpKbO3t2enT59mjDH2+vVrZmBgwBISEiRlxC2xdz/Db968kbmetWvXMi6XKzmXw+Gw+vXrs3PnzkmVc3R0ZIaGhlL1/PDDD3K/LlWiIfZ6lMQGDhzIEhISWEJCArt16xbz9fVlNjY2UkOcAbC9e/dKyok3eb6Yq0tiy5YtYyYmJpJ/9+3bl02bNk2qrtevXyv8OpWpuufG9u3bx+zs7BgA1qNHD3b48GGdGwKvrf79918GgBkaGrLs7OwqyyUkJLAXL14wxhj79ttvmY+PDwsKCpJ6bEHV4uLiGJ/PlxqcM3fuXPbhhx9K/i1OYkFBQSwhIYE9fPiQBQYGssaNG7Ply5fLVd+5c+eYpaUlEwgEkn3Dhg2TJHPG/j+J3b17V+pzVVpaKnM9a9euZa1bt5ace/fuXbZ8+XJmZmbGIiIiJOUcHR3Z6tWrpeqpTTemKsjzPU7TTmk5U1NTuLi4SP7t4eEBCwsL/PLLL/jmm28k+5s0aSJVTpliY2Ph7Owstc/CwkJl9dXGlClT8M033yAxMRH79u2Dj48PLC0t0aRJE8n8g5999hk6dOig6VD1iqxzJZb/m2nZsiWOHz+OkSNHwtHREQsXLsSnn34KY2Njlcbq5+cHoVAo1V3MGIOBgQGysrLQsGFDyX57e3tJzK1bt8bTp0/x1VdfYd26dTLHeeDAAWRmZko9+iESiRAVFYWvv/4aPB5Pst/Z2RkNGjRQ+LUZGhpKvccdO3bE6dOnsXPnThw+fFiy39raWis/v4qge2I6Rvw8jrruK8TFxSEkJARjx45VS321Vf7e2OrVq9GmTRvs3LkTADB37lz8/PPPlMBUQJG5EkePHo3bt2/j9u3b6Nu3L5YsWYLw8HAVRVhGKBTi0KFD2L59O6KjoyXbvXv34OjoiCNHjlR7Po/Hg1AoRHFxsUz1ZWRk4MyZMzh69KhUfdHR0cjPz8e5c+eU8bKqxePxtOI+pKpQS0zLCQQCpKenAwCysrKwe/du5OfnY8SIEVLlsrOzJeXEzM3NYWpqKnNdQqEQ6enpEIlEyMjIQHh4OL755ht06NABS5curf2LUYOMjAzcv38fAFBUVIT3338fGzZs0HBU+q22y6506dIFBw8exLp16+Dk5AQAmDdvHry9vTFixAilDtcPDg5GVlYWZsyYUaHFOG7cOPj5+WHevHmSfRkZGUhPT4dQKERMTAx++OEHeHl5yTyRwm+//QYrKyuMHz++wryXw4cPh5+fX6WPzChK/BkGgLy8PAQGBuLhw4dYvny50urQOqrv3VQvfbsnhnIPJJqbm7MuXbqw48ePS5UrX6b8tnnzZqky/v7+Vdb17sPOlpaWrFevXlU+7KxtQ+zF7t+/zywsLNioUaM0PqdiXaHsuRLz8/MlA2969OjBrly5opTrMsbY8OHD2dChQys9FhkZyQCwyMjICg8783g81qxZMzZr1iypx1vE97ISExMrvWbbtm2rHJJ/4sQJyb05WYbYy/MZBsBMTExY27Zt2d69e6XK6dsQe0pidUBiYiLj8/ns0aNHmg5F6QQCAdu9ezfr27evZMaQ/Px8jcypWFepaq7E8+fPs06dOjEAbMKECUq9trL4+/szFxcXlY9u1efPcGXoOTEiJSQkBLNnz0bLli01HYrSiEQi/P7772jdujXmz58PJycnFBQUACgbDKOsWTxI9VS5gvOgQYMQERGBwMBAyRppOTk5SExMVGo9tRESEoJNmzapfC07ffwMK40akqpaUUusbnj//fclXVjipU/eRa0x1VP3sisbNmxgBgYGbMOGDfRsnx6jlhjRS6WlpZI54ObMmYMrV64gKCgIbdq0qbQ8tcZU7/jx4wDUt4Lz4sWLsXTpUqxfvx7dunWTDOLRJ9evXwePx4OPj0+FY8XFxdi6dSvat28PExMTWFtbo2fPnvD395da6LROUUNSVStqiemnhw8fMk9PTzZ69Gi5zqPWmGqlpKSw77//vtoHnFUhIiKCtWnThhkYGLCnT5+qtW5VmzFjBvv888+ZqakpS05OluwXCASsX79+rGHDhmz37t0sKiqKPXnyhB05coR17NixwjyPuowGdlAS0xtCoZB9++23zMjIiLVq1Ypdv35d7mtow+rPRPmKiorYiRMnGGNlU1iVn8ZJV1U3MfG3337LuFwuu3v3boXziouLWX5+vjpDVSlKYpTE9IJQKGS9evViHA6HLVmyhBUWFip0HWqN6b/AwEC9uFfm5+fHOnfuzBhj7OzZs8zJyUkyx2S7du2Yt7e3JsNTG7onRnRaaWkpSkpKwOPxMHnyZPzzzz/47rvvUK9ePYWuR/fG9N+oUaOwbNkyrF+/Hp6enjp7r8zPzw+TJ08GULaWYH5+PkJDQwEACQkJcHNz02R4WomSGNEqcXFx6NmzJ77++msAwCeffILu3bvX+rpTpkyBs7MzXr16hX379tX6ekS7GBkZ4ZtvvsHNmzdRUlKCzp074/r165oOSy7x8fG4ffs2Jk6cCADg8/mYMGGCZBFOxphOLDaqbpTEiNY4ffo0OnfujKysLAwZMkSp1y7fGtu1axdKS0uVen2iHTp37ow7d+5gx44d6Nq1K4CyqZh0QfmJifl8Pvh8Pvbu3YuTJ08iKysLrVq1QmxsrKbD1DoqTWJXrlzBiBEj0LRpU3A4HJw+fbrGcy5fvgwPDw8YGxujefPm9Ku5DmCM4ZtvvsHo0aPh4+ODu3fvKqX19a4pU6ZgzZo1uHHjhtTM4US/GBkZYe7cueDz+bhy5Qratm2Lhw8fajqsaskyMfFHH32EixcvIioqqtLzxQ/71zUqTWIFBQVo3749du/eLVP5xMREDB06FL1790ZUVBRWrVqFBQsW4MSJE6oMk8gpIyMD8+fPV+q9pYcPH2L9+vU4duyYXJMWy8PAwADr16+Hra2tSq5PtE+zZs3A5/PRrVs3nD17VinXvHjxIn766SelXEus/MTEbdq0kdrEExMvXLgQPXv2xIABA/DTTz/h3r17ePr0KY4dOwZPT08kJCQoNSadofJhJv8BwE6dOlVtmWXLljE3NzepfZ988gnr1q2bzPXQ6ETVEolErHfv3gwAGzhwYK2GrCcnJ7PQ0FDGGJNr8T9C5JGbm8vef/99xuFw2ObNm2u1ovSFCxeYsbExA8DOnDmjtBhlnZi4qKiIbd68mbVt25YZGxszS0tL1rNnTxYQECCZO1QfaOUQe1mSWO/evdmCBQuk9p08eZLx+fwqh80WFRWxnJwcyZaamkpJTMWuXr3KzMzMapXIrl69ymxsbFjbtm0pgRGVKy0tZV999RVzdHRkmZmZCl2jfAIbPnw4rQquQjo7xD49PR2NGzeW2te4cWMIhUK8efOm0nM2b94MCwsLyWZvb6+OUOu0Xr164dy5czAzM8PFixcxatQouboW/fz80L9/f7i5uSE0NLTCOkuEKBuXy8WGDRsQExODhg0bIj09Hc+ePZP5/IsXL2LEiBEoKirC8OHDcfz4cRgZGakw4oqmTZsGDocj2aysrODj4yP1OAFjDPv374enpyfMzMzQoEEDdO7cGTt37tTbR0u07tvj3SGkjLFK94utXLkSOTk5ki01NVXlMRLFE9nWrVsxc+ZMfPzxx7hw4QIaNWqkhmgJKWNubg4AWLBgAbp06YKbN2/WeI42JDAxHx8fpKWlIS0tDaGhoeDz+VKLak6ZMgULFy7EqFGjEBYWhujoaHz11Vc4c+YMzp8/r5GYVU7l7cL/QEXdie+ie2LqJW/X4qNHj9i+ffvUFB0hlUtPT2c9e/ZkhoaG7LfffquynDZ1Ifr6+rJRo0ZJ7bty5QoDwF69esUCAwMZAHb69OkK54pEIrXPb1kbOtud2L17d1y4cEFq3/nz59G5c2eVr9dDFCNLiywzMxOzZs1CTk4OWrZsiU8++URD0RJSpnHjxrh06RImTZqEKVOm4Oeff65QRptaYJXJz8/HkSNH4OLiAisrKxw5cgSurq4YNWpUhbIcDgcWFhYaiFL1VJrE8vPzJc87AGVD6KOjo5GSkgKgrCtw6tSpkvKffvopkpOTsXjxYsTGxuLAgQPw8/PDkiVLVBkmqaXqEtnr168xYMAAnDp1irp6iVYxNDSEn58fPv/88wo/krU1gQUHB8PMzAxmZmYwNzdHUFAQAgMDweVykZCQAFdXV02HqH6qbBKGhYUxABU2X19fxlhZ87hv375S54SHh7OOHTsyQ0ND5uTkxPbu3StXndSdqDnvdi0+efKEubu7MxsbmyoXriREm1y9elWruhDL8/X1ZQMHDmQJCQksISGB3bp1i/n6+jIbGxuWlJTE3NzcKnQ36ip5vsc5jP03ckJP5ObmwsLCAjk5Oahfv76mw6lzrl27hiFDhiA/Px8mJiaoX78+wsLCaOJSovWuXr2KPn36gM/nQygUalULDCgbnZidnS0181FpaSksLCywcOFCxMTEIC4uDvHx8ZoLUknk+R7XqntiRPeV71osLCxEixYt4ODgoOmwiA4qEAjx4EUOolKy8OBFDgoEqp0DUSAQSBKYq6urViWwqnA4HHC5XLx9+xYfffQRHj16hDNnzlQoxxiTrIqub/iaDoDol9evX+Pp06c4d+4chgwZgn/++QejRo3CmTNnYGJiounwiJZLeJmHI7dSEBb/CimZhSjfTcQB4GBpAi9XG0zydEDLxuZKq1d8D0ycwOLj4/Hjjz/W6n58UlIS7t27V+lAC0UJBAKkp6cDALKysrB7927k5+djxIgR6Nu3L06dOoUPP/wQX331FQYNGoRGjRohJiYGO3bswPz58/H+++8rLRZtQd2JRGkyMzPRv39/vHz5ErGxsfj3338lXYsDBw6kREaqlJpZiFWnYnD18RvwuByUiqr+WhIf7+1ijU2j28LesnZ/U5UN4vjmm2/wzz//4Pz58+Dz5f+tf+nSJXzwwQfIz8/H1atX0aVLl1rFCJR1Jx48eFDyb3Nzc7i5uWH58uUYO3YsAEAkEmH//v04cOAAHjx4AD6fj5YtW2Lq1KmYNWuWwmvyqZs83+OUxIhS5OTkYNCgQUhMTER4eDjc3d0BSN8jo0RGKnM0IgVrgx5AKGLVJq938bgc8LkcrB/pjoldFOuyrmoUImMMJSUlMDQ0RF5enuQh6ZowxrBjxw4sXboUIpEInTt3xsmTJ2kmITnRPTGiVsXFxRg5ciQSEhJw4cIFSQIDaj9FFdFvu8MSsOJkDARCkVwJDABKRQwCoQgrTsZgd5j8M7hXN4yew+HA0NAQqampaNmyJY4fP17j9QoLCzFlyhR88cUXEIlE8PX1xZUrVyiBqRglMVJrBQUFMDIywp9//okOHTpUOE6JjFTmaEQKtp1/pJRrbTv/CIERKTKXl/U5MDs7O3h5ecHX11fyvGtlkpKS0LNnTxw5cgQ8Hg+7du2Cv7+/znTf6TLqTiS1IhAIJN0vNS2dTl2LRCw1sxADd1yGQCiqtlzxq0TkRpxBUUoMSvMzweHyYGBpB5PWvWHWfjB49f6/m8+Iz8XFRX1rvEcm74PMhYWF6NOnD16/fo2IiAjY2NhIHRff/8rIyECjRo3wxx9/oG/fvjK8C6Qq1J1I1CI0NBStWrVCYmJijQkMoBYZ+X+rTsVAWEP3YV50CNICFqI47REsPMeg8Qfr0WjMapi49UR+1Dlk/PWDVHmhiGHVqZhqr6nITBwmJiY4ffo0BAIBJk+eLNnPGMP333+PQYMGISMjA507d0ZkZCQlMDWjIfZEIU+ePMH48ePRpUsXufr8xYlsyJAhkkRGLbK6JeFlHq4+rnxpJTHB81hk/r0Hxs4dYTPmS3D4/z8tVD3njqjfdTTePr0rdU6piOHq4zd4/CoPLjYVB2LUZiqpZs2a4fTp05KRioWFhZg9ezaOHDkCAPD19cXevXup+1ADqCVG5Jabm4uRI0fC2toaR48elXsIcvkW2YsXL1BQUKCiSIk2OnIrBTxu9S33nOvHAA4HVj7zpBKYGIdnAJOWnhX287gcHL5Z+b2xZ8+eQSAQKDwTR7du3dC5c2ckJCSgffv2dP9LS1ASU4P09HTMnz8fzZs3h5GREezt7TFixAiEhoYCAJycnKQWu+NwOGjWrJmGo67azJkz8ezZMwQFBaFhw4YKXaNXr164ePEiwsLCaE2xOiYs/lW1IxGZqBRFKfdh2MQF/Pry/W2UihjCHr2q9Ni0adNw7ty5Ws3EcenSJXTs2BGPHz9GgwYNEBoaivnz58vUnf6u4uJihWKQ1fXr18Hj8eDj4yO1PykpSeq7xtzcHO7u7pg7dy4SEuQf5alplMRULCkpCR4eHrh06RK2bt2KmJgYhISEwMvLC3PnzpWU27Bhg2Sxu7S0NERFRWkw6uotWrQIx44dq/V8iJ6enhVukhP9li8QIiWz+vugore5YCUC8C0aV1uuKikZhVVOUTV48GCFEpj4+S9vb28UFBSgfv36YIwp9GMzNzcXn3zyCXx8fCASVT+wpTYOHDiA+fPn49q1a5KVQ8q7ePEi0tLScO/ePWzatAmxsbFo37695Me1rqB7Yio2Z84ccDgc3L59G6amppL97u7u+PjjjyX/Njc3R5MmTTQRoszu3LmD9u3bo3v37poOheio5IwCqHo4NAOQlFEA96bKWT/r3ftfU6dOxebNm9GvXz+MHDkSN27ckHkk9MWLFzFjxgxJUrl27Rr69OmjlDjLKygowLFjxxAREYH09HQEBARgzZo1UmWsrKwk3znNmzfHiBEjMGDAAMyYMQNPnjwBj8dTelyqQC0xFcrMzERISAjmzp0rlcDEGjRooP6gFBQVFYU+ffpgx44dmg6F6LDiGobUAwC3Xn1wDIwgzHmp0npkkZycjF69eknuf/3www8ICAhA06ZNcebMGTx79gxHjx6t8Tri1tegQYOQkpICZ2dnXLp0SSUJDAACAwPh6uoKV1dXTJ48Gf7+/qjpaSoul4vPP/8cycnJiIyMVElcqkBJTIUeP34MxphM3W7Lly+XLHZnZmaGXbt2qSFC2RQVFWHSpElwc3PD/PnzNR0O0WGG/Jq/cjhcHowd26M4/TGEudWPYqxNPTW5dOkSPDw8EBUVhUaNGiE0NBQLFiyQ3P9q3bo1YmJiMHv27Gqvc/HiRbRt2xb79+8HAMydOxf379+Hl5dXrWOsip+fn+RxAB8fH+Tn58vUTSj+rkpKSlJZbMpGSUyFxL98ZLnpu3TpUskq2NHR0VIrXmvaunXr8OTJExw6dIhGYJFacbIyhSxDICy6jwcYQ0bIj2ClJRWOs1IhChNuVXou5796FFX+/ldGRgY8PDxw586dSp//cnBwAGMMR44cQXJystSxqlpfu3fvhpmZmcLx1SQ+Ph63b9/GxIkTAQB8Ph8TJkzAgQMHajxXnu8sbUH3xFSoZcuW4HA4iI2NrXEJBGtra7i4uKgnMDnExcXhu+++w9dff402bdpoOhyi40yN+HCwNEFyDYM7jOxaw3LwHGSe34u0gIUw7zgUBtYOYKJSFL98gvzoEBhYO1Y6zN7BygSmRop9tVV2/2vfvn3V/ngrLCzEqlWr0KpVK5w/fx4cDqfCva+5c+diy5YtKk1eYn5+fhAKhbCzs5PsY4zBwMAAWVlZ1Z4bGxsLAHB2dlZpjMpESUyFLC0tMXjwYPz0009YsGBBhfti2dnZWn9fzNXVFSdOnMDw4cM1HQrRE16uNvjtVnKNE/6ad/CBkW0r5EacQc7N4ygtyAKHy4eBpR1M3+sHc4+Kf5M8LgderRQb8ZqcnIzRo0cjKioKPB4P33//vUzD501NTfHrr7/C29sbP/zwA2JjYyVdh87OzvDz81Np12F5QqEQhw4dwvbt2+Ht7S11bOzYsThy5EiVn2WRSIRdu3bB2dkZHTt2VEe4SkFJTMX27NmDHj16oGvXrtiwYQPatWsHoVCICxcuYO/evZJfPtooPj4erq6uermQHtEMxhia5CegVFTxAebKGDZuDuvhi2S+fqmIYXI3xZZlefz4Me7du6fQ/IeDBg3C0KFDsXjxYkmXnDpbX2LBwcHIysrCjBkzYGEhPTpz3Lhx8PPzkySxjIwMpKeno7CwEP/++y927tyJ27dv488//9SZkYkA3RNTOWdnZ9y9exdeXl744osv0KZNGwwaNAihoaHYu3evpsOr0u3bt/Hee+8hKChI06EQPcAYw+nTp9GpUyd8Nmk06uUkoYZJO+TG43LQ28W60imnZDFgwAAcOnSoyvtfVRHf+/rrr7/AGEP9+vXVcu+rMn5+fhg4cGCFBAaUtcSio6ORmZkJABg4cCBsbW3Rtm1brFixAq1bt1b5gBNVoFnsSQVFRUXo1KkTTE1NcePGDYVWtiUEKEteZ86cwfr16xEdHY3+/ftj7dq1cG7TWaZZ7OUh6yz2yvTuva/Jkydj165dCs9kQ8rQLPakVsSjEQMCAiiBEYWUb3mNHj0alpaWuHz5MkJDQ9GnTx/YW5pg/Uj3mi8khw0j3dWWwKoaefjbb7+hYcOGuHv3boXRikQ1KIkRKZGRkfjuu++wbt06qRWaCZFFTcmrvIldHLDEu5X4zFrVu9TbFRO6KHYvTF41PfclFAoxfvx4zJgxo8YHjEntURIjUt577z1s27YNS5cu1XQoRIfIk7zKm+fVEsu9moEJSwAmX9cij8uBEZ+Lb8e0xVwv1T+eIutzX3w+H3v37kVoaKgk0RHVoSRGJIqLi1GvXj0sWrSIuhGJTBRNXuXPD9qxAsKgtejmXHYfqaZlWsTHezS3wsVFfdXSApN31g1vb298/PHHWLVqFXJyclQeX11GSUzPXL58Gc+fP5f7vJycHLi4uODUqVMqiIrom9omLzF/f3+EhIRg//ebcfSTXriwsA+meDrC0cqkwsweHACOViaY4umIi4v64LcZnmq5B7Zs2TKFZt34+uuv8fbtW2zbtk3uOhljOHv2LPLz8xUNu+5geiYnJ4cBYDk5OZoORe3evn3LmjZtygwNDdm8efPYs2fPZD73yy+/ZMbGxnKdQ+oekUjETp06xTp06MAAsP79+7PLly8rdK3U1FRWv3595uvrW+nx/KIS9u/zbHY3OZP9+zyb5ReV1CJyxQUEBDAAbO7cuSwvL0+uc4OCglh6errM5UUiETtz5gzr2LEjA8C+/fZbecPVC/J8j1MS0yPJycmsd+/eDGV3yWVOZunp6czExIQtX75cTZESXaPM5CW+no+PD2vatCnLyspSXqAqIBKJ2N27d2t1DYFAUGMd5ZMXAGZqasq2bNlSq3p1FSWxOprEGCv7MISGhsqVzObOncsaNGjAMjMz1Rwt0XbKTl5ifn5+DAALDg5WQpTaLSIigjVp0oQlJCRUOFZV8lqxYgV7/fq1BqLVDpTE6nASE5M1mYlEIjZmzJg6+4uPVE5VyYuxmrsR9U1hYSGzs7NjEydOlOyj5FU9SmKUxCTkSWZE+6n6PpEqk5f4+rrSjahMv/zyCwPA7ty5Q8lLBpTE1JDEfH19JX+EfD6f2djYsIEDBzI/Pz9WWloqKefo6CgpV37bvHmzSuN7V2XJzMDAgA0ZMoSlpqaqNRYin0fpuWztmX9Zn62XmNOKYOZYbnNaEcz6bL3E1p75lz1Kz1W4DlUnL7G61I1YXnFxMbOzs2Pm5uaUvGQgz/c4zZ2ooGnTpuHly5fw9/dHaWkpXr58iZCQEGzevBm9e/dGUFAQ+Hw+nJycMGPGDMyaNUvqfHNz8wpLs6gDYwxhYWFYt24drl69CgAwNDTE7NmzsWLFCqk1iIhmpWYWYtWpGFx9/AY8LqfapUvEx3u7WGPT6LYyDz1nVcxtKM8weVk9e/YM7u7uGD16NAICApR+fW3E/hsqv27dOkRFRQEoW7pl/vz5+OKLL2Btba3hCLUTzZ2oJkZGRmjSpAns7OzQqVMnrFq1CmfOnMG5c+ekPqTm5uZo0qSJ1KaJBAaUrdjav39/rF+/HkDZEuvFxcXYvXs3mjdvjvnz5yv0nBlRrqMRKRi44zKuP80AgBrX3hIfv/40AwN3XMbRiJRqyzMlPeclK8YYZs2aBTMzM+zcuVPp19c2jDEEBQXBw8MDo0aNQlRUFExNTbF8+XIkJSVh8+bNlMCUhJKYkvXv3x/t27fHyZMnNR1Ktb766it07twZ//77L0JDQ9G7d29KZlpid1gCVpyMgUAoqjF5vatUxCAQirDiZAx2hyVUOK7u5CUmeah5/36tXwi2NqpKXitWrEBSUhK2bNmCuLg4XLt2TdOh6g1KYirg5uaGpKQkyb+XL18OMzMzqS08PFxj8UVGRuKff/7Bl19+CS6Xi/79+0u+yCiZadbRiBRsO/9IKdfadv4RAv9rkWkqeQFl3YiLFi2Cr68vhg0bptK6NKWm5FW+5bV8+XKsW7dOswHrEbUksT179sDZ2RnGxsbw8PCQ3IupTHh4ODgcToUtLi5OHaEqBWNMaknzpUuXIjo6Wmrz9PTUWHyurq44cOCA1DLl4m5GSmaak5pZiLVBDyrsz79/Eclbhv//9t1opP44Gen/W4mcG8dQWpBd5TXXBD2A31HNJC9A/7sR5UleYnPnzkVoaKhOfadpM5UnscDAQCxcuBCrV69GVFQUevfujSFDhkgWkatKfHw80tLSJFvLli1VHarSxMbGwtnZWfJva2truLi4SG316tXTWHxmZmaYPn16pUuQ15TMLl68qIGI64ZVp2IgrKb70GroQjSZsg2NJ34Ny0GfwdCmOXJunsCLXz7D26ToSs8RFJdg1ekYtScvMX3vRnz//fdlTl5iY8eORaNGjbBv3z41R6ufVJ7Evv/+e8yYMQMzZ85E69atsXPnTtjb22Pv3r3VnmdjYyM1EKKyL1xtdOnSJcTExGDs2LGaDqVSe/fuxWeffVbjOkeVJbP69euje/fuaoq0bkl4mYerj99Uew/MoJEjjOzcYGzfBqZuPWE5cBaafvwjOIbGeH1yI0oLsiqexOWhnnMn/Pz7abUmL6BudCN6e3vLnLzEjIyMMHPmTAQEBKCgoEBNkeovlSax4uJiREZGwtvbW2q/t7c3rl+/Xu25HTt2hK2tLQYMGICwsLAqywkEAuTm5kpt6iIQCJCeno7nz5/j7t272LRpE0aNGoXhw4dj6tSpknJ5eXlIT0+X2tQZp5hIJMKOHTuQnZ0t1d1ZnfLJLDo6WmOjKvXdkVspNS5BUhm+hQ0a9p8BVvwWeVEhlZbhcTk4fLP6ng9l0/duRLGZM2cqNNrwk08+wZIlS1BaWqrC6OoGlSaxN2/eoLS0FI0bN5ba37hxY6Snp1d6jq2tLfbv348TJ07g5MmTcHV1xYABA3DlypVKy2/evBkWFhaSzd7eXumvoyohISGwtbWFk5MTfHx8EBYWhl27duHMmTNSLcc1a9bA1tZWalu2bJna4hS7dOkSEhISMGfOHLnP5XA49AyZCoXFv5J7JKJYveadAQ4XgtR/Kz1eKmIIe/SqNuHJTd+7EcWMjIwUGirv6OiIL7/8UqXPstYValn58N1f/e8OfCjP1dUVrq6ukn93794dqamp2LZtW6XdIStXrsTixYsl/87NzVVLIgsICJDpgc3yoxQ1bc+ePWjbti169eql6VBIOfkCIVIyCxU+n2toDK5JfZTmZ1ZZJiWjEAUCIUyNVP+RrwvdiMpQWFiIr7/+GqNHj0bXrl01HY7OUmlLzNraGjwer0Kr69WrVxVaZ9Xp1q0bEhIqPvMClP0Sql+/vtRGKsrIyEBwcDDmzJkjc1ciUY/kjALUetqcGi7AACRlqP7+S13pRlQGY2NjHDt2DD/++KOmQ9FpKk1ihoaG8PDwwIULF6T2X7hwAT169JD5OlFRUbC1tVV2eApJT0/H/Pnz0bx5cxgZGcHe3h4jRoxAaGgoAMDJyanSRwS2bNmilPpzc3OxdOlS3Lp1q8bBGeVZWVkhNjYWkydPVkocRHmKhaJanS8qLoLobS54ZpYqrUcWAQEBdaIbURm4XC4+++wzHDt2DK9fv9Z0ODpL5aMTFy9ejF9//RUHDhxAbGwsFi1ahJSUFHz66acAyroDyw+C2LlzJ06fPo2EhAQ8ePAAK1euxIkTJzBv3jxVh1qjpKQkeHh44NKlS9i6dStiYmIQEhICLy8vzJ07V1Juw4YNUo8HpKWlYf78+UqJ4ezZs9i2bRu6desGZ2dnLFmypMaEJhQKUVpaihYtWtS4pDpRP0N+7T6Gb59EAEwEI4e2Kq2nJs+ePcPChQupG1EO06dPB4fDwYEDBzQdis5SeQf5hAkTkJGRIflib9OmDf766y84OjoCANLS0qSeGSsuLsaSJUvw/Plz1KtXD+7u7vjzzz8xdOhQVYdaI3FX3O3bt6VG6bm7u+Pjjz+W/Fs8V6IqNG/eHBMnTsTZs2eRnJyM7du3Y/v27XB0dMS4ceMwfvx4dO3aVarL8OTJk1i2bBmio6Pp17EWcrIyBQc19ghWSpjzCllhB8AxMoV5xyFVluP8V4+qlO9G3LFjh8rq0TdWVlaYOHEi9u3bh6VLl4LLpUmU5EWz2MsoMzMT1tbW2LhxI1auXFllOScnJyxcuBALFy5UWt2Vefv2LUJCQnDs2DGcPXtW6nmTdxPahAkTkJiYiIiICJXGRBTX97swJFcxuCP//kVk/LUTVkMXwsCqGZioFKLCHBSlPkB+zEVwOFw0Gr0Sxo7tqry+o5UJLi/xUlX48Pf3x8cff4zg4GBqhcnp8ePHePPmDTw9Pel+9X/k+R6nJCaj27dvw9PTEydPnsTo0aOrLOfk5IS0tDQYGBhI7Q8ODka/fv2UFk95NSW0Fy9eYPr06di3bx99SLTUuqAH+O1WcqXD7MVJTILHB9fIDAZWzVCveSeYtR8MnolFldfmcTmY4umIdSPdVRB53VxihagWJTEVJLFbt26hW7duOHXqFN5///0qyzk5OWHy5MmYNm2a1H47Ozu1TDUlTwuNEpr2SHiZh0E7K38WUhkuLuoDFxtzpV+XMYahQ4fi/v37+Pfff9GwYUOl11EXBAcH48SJE/D399d0KFqB1hNTgZYtW4LD4SA2NrbGspqcK7FevXoYPXo0fv/9d7x+/RpjxoyBiYkJTE1NJffQ5BkUQtSjZWNz9HaxVmjWjurwuBz0drFWSQIDpEcjUgJTXGFhIQICApCcnKzpUHQOJTEZWVpaYvDgwfjpp58qne8sOztb/UHVoF69ejh+/DgeP36M169f4+TJk5g4cSIlNC21aXRb8JWcxPhcDjaNrn7UoqJoNKLyDB48GHw+H8HBwZoORedQd6IcEhMT0aNHD1haWmLDhg1o164dhEIhLly4gL179yI2NhZOTk6YMWMGZs2aJXWuiYmJ2h/EFolElY52qq7L0cHBAePHj8eCBQvg4OCgznAJytYTW3EyRmnX+3ZMW0zoovz/j9SNqHyDBg0Cl8vF33//relQNI66E1XE2dkZd+/ehZeXF7744gu0adMGgwYNQmhoqNSs/NoyV+KmTZvQv3//Cq2rd7scy7fQUlJSsH37drx9+1bt8RJgYhcHLPFupZRrLfV2VUkCA6gbURVGjhyJsLAwjUwOrsuoJaYDioqKsHbtWvTt2xe9evWS+XV16dIFzs7OOHbsmEzlxS20GzduYOvWrbUJmdTS0YgUrA16AKGIyTUxMI/LAZ/LwYaR7ipLYDQaUTXS0tIQERGBwYMHw8jISNPhaBSNTtSzJBYeHg4vr7JnfLhcLjw8PNCvXz/069evyqT24sUL2NnZ4bfffqOppnRUamYhVp2KwdXHb8DjcqpNZuLjvV2ssWl0W9hbmqgkJupGJOogz/e4WmaxJ7XTsGFDzJw5E+Hh4Xj8+DEiIiIQERGB7777rsqkFhwcDB6PpxUznRDF2Fua4LcZnkh4mYcjt1IQ9ugVUjIKpWb24ABwsDKBVysbTO7moLJRiGLibsTg4GBKYCpw9+5dfP/99wgICACfT1/PsqCWmI559uwZLl++jPDwcElSK0+c1HJycmBoaIh//vlHL9+HuqpAIETIP5H4aPJU/O/wIfj09FDL8ioAdSOqQ0REBLp27YrLly+rfSVubULdiXqcxN4la1KrqfuR6I67d+/Cw8MDkZGR6NSpk1rqpG5E9RCJRLC1tcXMmTOxceNGTYejMdSdWIc0a9YMkyZNwqRJkwBUntRk6X4kpDrUjageXC4Xnp6euHPnjqZD0Rk0xF7PNGvWDDweD8nJyYiLi0NqaioOHz6MmTNnwsXFBSKRSJLQhg0bhoYNG6Jr165YtmwZQkJCNB0+0UL0ULN6iVvZetZJpjLUEtNDV69exbNnz8Dj8eRqqV26dAk+Pj4ajp5oE8kSKw2s8OmKbxCVkgVDPhdOVqZquxdX14wePRrNmjVDaWkpDe6QAb1DeigyMhIeHh6VHqsuqbm6uqozTKLlEl7mYXVACO47joFBh6aYePCe5BgHgIOlCbxcbTDJ0wEtG6t2VGRd0q5dO7RrV/WyOkQaJTE9U1JSgujoaEycOFGm8u8mNULKP5/GREYwaNi0QhkGIDmzEL/dSkbAjSSVP59W15w9e5YekZER3RPTMw8fPoRAIKiyJUZIdY5GpGDgjsu4/jQDAMDh8qotL34A+/rTDAzccRlHI1KqLU9k88svv2Dnzp2aDkMnUBLTM87Ozjh9+rTahl4T/bE7LAErTsZAIBTJNdUVUJbMBEIRVpyMwe6wBBVFWHfQ4A7ZUXeinqlfvz5GjRql6TCIjjkakYJt5x9VeqzCytLl1O86Gg37z5Dat+38IzQyM1LZ3I11gYeHBzIzM5GcnAwnJydNh6PVKInpmfXr16N79+7w9vbWdChER6RmFmJt0IMay1kNXQgDq2ZS+3hmlpWWXRP0AD1aWNM9MgWJbwdERkZSEqsBdSfqkZKSEmzevBkPHz7UdChEh6w6FQOhDN2HBo0cYWTnJrXxLWwqLSsUMaw6pbx10eoaW1tbTJ06lR4slwG1xPQIDeog8kp4mYerj98o/bqlIoarj9/g8as8lU9KrK8OHjyo6RB0ArXE9Ii4BUbPmBBZHbmVAh6XI1thJgITlUpt1eFxOTh8k0YrKiozMxORkZGaDkPrUUtMj7x48QJmZmawsLDQdChER4TFv5J5JGL6oS8q7HNYdqbKYfilIoawR6+wDu61irGuCgwMxIIFCyAQCMDlUnujKpTE9EjHjh2xbNkyTYdBdES+QIiUzEKZy1sNXwwDK3upfTU9R5aSUYgCgZCmqFKAra0thEIh3rx5Axubyu89EkpieqV///7o37+/psMgOiI5owDyPIVkYGUPI9uWctXBACRlFMC9KfUOyKtp07KZUl68eEFJrBrURtUj169fx5MnTzQdBtERxUKRXtWjb2xtbQEAaWlpGo5Eu1ES0yPTp0/Hnj17NB0G0RHZGcoflVgZQz59zSiiSZMmqF+/PvLy8jQdilaj7kQ9kpaWJvn1Rkh1GGP49qslYG1mgcORcXSiAjgAnKxMVXZ9fWZgYICcnBxNh6H16CeSnsjPz0deXp6kH52Q6gQEBODvP4PQqJ7qEhgAOFiZ0KAOolL016UnxP3m1BIjNSm/UrNTRyf8diu52mH2Zu0GwqzdQLnr4XE58GpFAxJqY86cOXj79i38/f01HYrWopaYnigoKEDz5s1hZ2en6VCIFmOMYfbs2TAzM8OOHTswydNB7hnrZVUqYpjcjSYBrg2BQIDY2FhNh6HVqCWmJzp06EAjE0mNAgICcO7cOQQHB6Nhw4ZoCKC3izWuP81QajLjcTno0dyKppyqJVtbW1y4cEHTYWg1aokRUkeU70YcNmyYZP+m0W3Bl3XqKRnxuRxsGt1Wqdesi2xtbZGWlgaRiB5TqAolMT2xZs0adO3aVdNhEC31bjdiefaWJlg/UrlTQ20Y6U7LsCiBjY0NhEIhjVKsBiUxPfH27Vv6QydVEncj7t+/v9LlPSZ2ccAS71ZKqWuptystiKkk/fr1Q1hYGMzMzBQ638XFBRwOR7JxuVxYW1vj+PHjUuXKl+FwODA0NISLiwsOHz6sUMzvXo/D4cDIyEhSpkGDBpWWKSoqkrs+tSSxPXv2wNnZGcbGxvDw8MDVq1erLX/58mV4eHjA2NgYzZs3x759+9QRpk4TCoXg8+kWJ6moqm7Ed83zaoktY9rCiM+VfWb7//C4HBjxufh2TFvM9XKpbcjkP40aNUK/fv1gYGCg8DWsra1x79493Lt3D7///jt4PB4mTpxYodyMGTNw7949XL16FevXr0dRURGmTJmC2bNny12nkZGRpE7xdv/+fakybm5uFcoYGxvLXZfKv/UCAwOxcOFC7NmzBz179sTPP/+MIUOG4OHDh3BwqPhrLTExEUOHDsWsWbNw+PBh/PPPP5gzZw4aNWqEsWPHqjpcnUVJjFSmum7Eykzs4oCeLayx6lQMrj5+Ax6XU+2AD/HxHs2tsGl0W+pCVLLHjx/Dz88Py5YtU3iBTD6fL1meqV27dnj9+jXmz5+P2NhYtG7dWlKuUaNGknK9evXCypUr0aJFC/zyyy9YuXIlnJ2dZa6Tw+HUuCSUsbGxUpaNUvm33vfff48ZM2Zg5syZAICdO3fi77//xt69e7F58+YK5fft2wcHBwfs3LkTANC6dWvcuXMH27ZtoyRWjZKSEkpipIJ3RyPKwt7SBL/N8ETCyzwcuZWCsEevkJJRKDVZMAdlDzJ7tbLB5G4ONApRBiKRCG/eyDfV171797BlyxaMHj0aTk5Ocp1rbW1dYV96ejr27NkDAwMDtGxZ82TOmzZtwsSJE7Fr1y6ZfgRpgkq/9YqLixEZGYkVK1ZI7ff29sb169crPefGjRvw9vaW2jd48GD4+fmhpKSkQrNaIBBAIBBI/p2bm6uk6HXLypUrkZ+fr+kwiBaRtRuxKi0bm2PdSHesgzsKBEKE/BOJjyZPxf8OH4JPTw+aiUNOb968QePGjRU619PTU+5zXr58CaAscZWfWozL5eLQoUMy/egdPHgwACA+Pl6uuouKiipMZ9aqVSup60RHR0uV8fDwwJ07d+SqB1BxEnvz5g1KS0sr/I9r3Lgx0tPTKz0nPT290vLidXXenZFi8+bNWL9+vXID10GOjo6aDoFoEXm7EWtiasSHcwMDFKc9gnMDA0pgOsTS0hLHjh0DAKSkpGDjxo2YMmUKnJyc0LNnz2rPFQ/tl3d+TUNDQ/z1119S+979XndxcZEa79CsWTO56hBTy1/iu28AY6zaN6Wy8pXtB8paIIsXL5b8Ozc3F/b29hXK6bvAwECkpqZiyZIlmg6FaAFFuhGJallbW0taR7K6ceMG3n//fVy/fh0tWrSQuz6gLKEMGDBAsn/SpEkwMjLC8uXLce3atWqvce7cOQBlgzDkweVypeqsjJmZWY1lZKHSJGZtbQ0ej1eh1fXq1asqm9VNmjSptDyfz4eVlVWF8kZGRlJDN+uq8PBwREREUBLTcwUCIRKzS2Bo2wqJ2SVwrWTV5Np2IxLV4HK5ci9u6erqio8//hgtWrRQ2sKYXG7ZoHRZhrOvWbMGALBgwQKl1K0KKk1ihoaG8PDwwIULFzB69GjJ/gsXLmDUqFGVntO9e3ecPXtWat/58+fRuXPnWg0z1Xd8Ph8lJSWaDoOogGSARfwrpGSWDbCw9f0eX1x4gyUX/oaDpQm8XG0wydMBLjZmSu1GJJrl5uYGPz+/Wl1DKBRKhrenpKRg5cqVAIDJkydLlXv9+jXu37+PvLw8XL16Fbt378bz588xZ84cuW9XMMYqDKnncrlo06ZNLV5J5VTenbh48WJMmTIFnTt3Rvfu3bF//36kpKTg008/BVDWHfj8+XMcOnQIAPDpp59i9+7dWLx4MWbNmoUbN27Az88Pv//+u6pD1Wl8Ph9CoVDTYRAlSs0srHGoOwOQnFmI324lI+BGEpqbCHD1+l2cPuJH3Yh6IDc3F8+ePUOrVq0UHn385s0btG/fXvJvU1NTLFmyBAsXLpQq5+fnJ0mYfD4fjo6OOHz4MCZNmiRVjsPhYMaMGfj111+rrFMgEEjVKSa+NaRMKk9iEyZMQEZGBjZs2IC0tDS0adMGf/31lySzp6WlISUlRVLe2dkZf/31FxYtWoSffvoJTZs2xa5du2h4fQ0MDAwoiemRoxEpWBv0AML/EldNk/OKjz/J58P+05+RZ0PzFuqDsLAwvP/++3j16hUaNWok9/mPHz+WqZysyUV8D23ChAlVlgkPD6/xOtnZ2TLVJwu1DOyYM2cO5syZU+mxgICACvv69u2Lu3fvqjgq/dK7d2/Ur19f02EQJdgdloBt5x8pdC6Hy4MIwIqTMXiTL8A8r5qfBSLaS/z4kLbcStmzZw/atGmDQYMGaToUCRonqydGjBiBESNGaDoMUktHI1IUTmDv2nb+ERqZGdE8hjrs1atXMDAwgIWFhaZDAQD873//03QIFVAS0xN5eXm4d+8eunTpQqM1dVRqZiHWBj2o9Fj+/YvI+Gun1D5uvfowsHZAfc8xMHGpfAWDNUEP0KOFNU0HpaPS0tJga2sr93NadQnNYq8noqOj0bt3bzx9+lTToRAFrToVI7kHVhWroQvRZMo2NJnyHax85oHD5eL18Q0oTLhVaXmhiGHVqRhVhEvUIC8vT+GHgOsKSmJ6QjyTSVpamoYjIYpIeJmHq4/f1DiAw6CRI4zs3GBk1xomrj3QaNxagGeAgtgrlZYvFTFcffwGj1/lqSJsomK7du2q8YHkuo6SmJ4QJ7EXL15oOBKiiCO3UuRe/gQAOHxDcHh8cLi8KsvwuBwcvplS5XGi3agrsXqUxPSEqakp6tevTy0xHRUW/6rGVhgAgInARKVgpUIIc98g6+J+sBIBTN/rW+UppSKGsEevlBgtUZeuXbvi4MGDmg5Dq9HADj3y3nvvobS0VNNhEDnlC4RIySyUqWz6oS+kd/AMYDnoU9Rr7lHteSkZhSioZIoqor2Ki4sRERFBn+ka0F+0Hrlx44amQyAKSM4ogKzzGFgNXwwDq7IJrkVvc1H46AYyz+8FY6Wo71H1IxYMQFJGAdybasdQbVIz8RyyTZs21XAk2o2SGCEaViwUyVzWwMoeRrb//wBzveYeEOa8QnZYAMzcvcA1NlNKPUTzxLcG3l1+ikije2J6ZOvWrejcubOmwyByMuTX7mNoaOMEJhSgJPO5Sush6iUepEUtserRX7Ue4fP5iIuLU8kkm0R1nKxMUZvxZ8UvEwEAXJOquwo5/9VDdEePHj0QFBRU6RJU5P9Rd6IesbOzQ0FBAbKzs2kGcx1iasSHg6UJkmUY3FHyOhkQld3oL32bh8JH11GUFIV6rbrDoEGTKs9zsDKhQR06pnHjxjSVnAzor1qPuLu7AwDu37+Pvn2rHnJNtI+Xqw1+u5Vc4zD78lNPcYxMwbdojIb9Z8K8U9WLX/K4HHi1Us6CikR9du7ciRYtWlAiqwElMT3i5uaGevXqITIykpKYjpnk6YCAG0lVHjdrNxBm7QYqdO1SEcPkbjQJsC5hjGHLli2YOXMmJbEaUBLTI3w+H1euXEGrVq00HQqRU8vG5ujtYo3rTzNke+hZRjwuBz2aW8HFxlxp1ySq9+LFC7x8+RIeHtU//0doYIfe6dy5M60rpqM2jW4LvgJTT1WHz+Vg02haIFPXREZGAgCNNpYBJTE9c//+fYwePRp5eTThq66xtzTB4j7KnbF8w0h3WoZFB0VGRqJRo0Y0g70MKInpGS6Xi9OnTyMqKkrToRA5paWlYeeCD1AadVop18u6fBBPLhxWyrWIenXp0gUrVqygyX9lQPfE9Ix4cMedO3fQp08fTYdDZJSWlob+/fsjLy8PYT8uQ2S2EdYGPYBQxOS6R8bjcsDncrBhpDvi67XB6tWrAQCrVq1SVehEBYYPH67pEHQGJTE9w+fz0aFDB0mfenUYY4iPj0d4eDjCw8Ph7u6Or776Sg1RkvKkElhYGFq2bImWAHq2sMaqUzG4+vgNeFxOtclMfLxHcytsGt22rAuxyxoAoESmYzIzM3H58mUMGjQIZmZVTyNGylAS00MeHh64cOFChf3vJq3w8HC8fPlScrxDhw6UxNSssgQmZm9pgt9meCLhZR6O3EpB2KNXSMkolJosmIOyB5m9WtlgcjeHCqMQ16yhRKZrrl27hjFjxiA5OZmSmAwoiemhKVOmoFu3bjUmLQAwMjJCjx490K9fP3h5eWko4rqpugRWXsvG5lg30h3r4I4CgRBJGQUoFopgyOfCycq0xpk4KJHpFvGgDnt7e02HohMoiekRcdK6e/cuwsPD8cUXX1SbtPr164euXbvC2NhYQxHXXbImsHeZGvEVWk6FEpnuiIyMhIeHBw3qkBElMR0mb0uLkpZ2UDSB1RYlMu1XWlqKW7du4dNPP9V0KDqDkpgOYYzh0aNHUklLvHCemDhppaWlwcDAALdv36akpUU0lcDEKJFpt8zMTHTs2BFDhw7VdCg6g5KYDoiMjMS2bduqTVrvtrQOHDiAWbNmIS8vj5KYltB0AhNTJJEVCIRIzC6BoW0rJGaXwFUgpFnxVaBRo0Y4f/68psPQKfRXqAMKCwtx9OhRALJ3Dw4bNgyMMfz111/w9fVVd8jkHdqSwMRkSWSSUZHxr5CSWTYq0tb3e3xx4Q2WXPgbDpYm8HK1wSRPB7RsTHMzKsP169fRpUsXGBgYaDoUnUEzdsgpPT0d8+fPR/PmzWFkZAR7e3uMGDECoaGhAAAnJydwOJwK25YtWxSus2vXrli/fj0uX76M7OxsXLp0CWvWrEGfPn2qbGU1btwYnp6eCAoKkrme7OxsHDp0CHPmzFE4VlKRtiUwsTVr1mD9+vVYvXo1Nm3aJNmfmlmIKX63MGjnFfx2KxnJmdLD+gGAAUjOLMRvt5IxaOcVTPG7hVQZ1kMjVXvy5Al69uyJs2fPajoUnUItMTkkJSWhZ8+eaNCgAbZu3Yp27dqhpKQEf//9N+bOnYu4uDgAwIYNGzBr1iypc83NFf+lamRkJPnlLI9FixbVOIdidnY2goKC8Mcff+D8+fMoLi4GAMydO1eyPhlRnLYmMLF3W2TNB02WzBQCoMbZQsTHrz/NwMAdl7F+pDsmdqFlXxRx9uxZGBoawtvbW9Oh6BRKYnKYM2cOOBwObt++DVPT/1/q3d3dHR9//LHk3+bm5mjSpOpVdtXlgw8+qHR/VYkLAN577z2MHz+eVoZWAm1PYGLiRPZt8D00zGuv0DVK/5sea8XJGLzJF2Cel3a+Vm0WFBSEAQMG0APOcqIkJqPMzEyEhIRg48aNUglMrEGDBuoPSgbXr1/H8+fPMWjQoBoT1/jx46n1pSS6ksDEWg2ZhoZvY5RyrW3nH6GRmREmUItMZllZWbhy5Qp2796t6VB0DiUxGT1+/BiMMbi5udVYdvny5fjyyy+l9gUHB6Nfv34qiq5yOTk5WL9+Pa5cuQKRSESJS010LYGlZhZibdCDSo/l37+IjL92Vnlu4w83wdixXYX9a4IeoEcLa1oGRkbPnj1DmzZtaOJfBVASkxFjZX3/sjxFv3TpUkybNk1qn52dnSrCqiAnJwdBQUE4duwYtbg0QNcSGACsOhUjuQdWFauhC2FgVXFtKwPryltbQhHDqlMx+G2Gp1Ji1Hdt27ZFdHS0psPQSZTEZNSyZUtwOBzExsbi/fffr7astbU1XFxc1BMYqk9crVu3xtOnTzFjxgz89NNPaoupLtLFBJbwMg9XH7+psZxBI0cY2cr+ekpFDFcfv8HjV3kVJiUm0oqLi/Ho0SO4u7vTVFMKoCH2MrK0tMTgwYPx008/oaCgoMLx7OxstcaTk5OD3377DSNGjICNjQ2mTp2K4OBgFBcX47333sPatWvx77//4uHDhxgzZgxu3Lih1vjqGl1MYABw5FYKeFzVfHHyuBwcvpmikmvrkytXrqBt27a4f/++pkPRSdQSk8OePXvQo0cPdO3aFRs2bEC7du0gFApx4cIF7N27F7GxsQCAvLy8CjNrmJiYoH79+rWO4fLly9i2bZtcXYXTpk3DzZs3UVpaCh6PV+sYiDRdTWAAEBb/SrZFN5kITFRaYTeHW/XfU6mIIezRK6wDdV1Xx9/fHy4uLmjXruK9RVIzSmJycHZ2xt27d7Fx40Z88cUXSEtLQ6NGjeDh4YG9e/dKyq1Zs6bCc12ffPIJ9u3bV+sY0tPTERwcDED2e1ze3t707ImK6HICyxcIkSLjA8rph76ouJPDhePy6h+mT8koRAFNUVWlV69e4Y8//sCWLVuoK1FBKv3LysrKwoIFCySzRowcORI//vhjtcPRp02bhoMHD0rt8/T0xM2bN1UZqsxsbW2xe/fuKofCJiUlqbT+YcOGYe3atXIPznjz5g1++OEHLFmyBBYW8i/lQSrS5QQGAMkZBRVm4qiK1fDFMLB6Z30rGb50GYCkjAKFlo+pC/z8/MDj8SoMBCOyU+k9sY8++gjR0dEICQlBSEgIoqOjMWXKlBrP8/HxQVpammT766+/VBmmQqZNmyaZUsrAwACNGzfGoEGDcODAAYhEIkk5ZU9DZWZmhnXr1sk9urCkpARbtmzBoUOHFKqXSNP1BAYAxUJRzYX+Y2BlDyPbltJbE9kGL8lTT13D5/MxZ84cWFpaajoUnaWyllhsbCxCQkJw8+ZNeHqWDbP95Zdf0L17d8THx8PV1bXKc42MjLRixoua+Pj4wN/fH6WlpXj58iVCQkLw+eef4/jx4wgKCgKfX/b2KnsaKkXY2tpizJgx2LNnD+bNm0ddF7WgDwkMAAz56hnXpa56dNHSpUs1HYLOU9lf140bN2BhYSFJYADQrVs3WFhY4Pr169WeGx4eDhsbG7Rq1QqzZs3Cq1evqiwrEAiQm5srtamLONna2dmhU6dOWLVqFc6cOYNz584hICBAUk48DVX5rbJZP1Rtzpw5iIuLQ3h4uNrr1hf6ksAAwMnKFKr+KcP5rx5S0dGjR/H69WtNh6HzVJbE0tPTYWNjU2G/jY1NhZF75Q0ZMgRHjhzBpUuXsH37dkRERKB///4QCASVlt+8eTMsLCwkm729faXl1KV///5o3749Tp48qdE4KtOnTx+899572LNnj9znMsbw5MkTFUSlO/QpgQGAqREfDjLOqFHyOhmC53EVttLCnGrPc7Ay0etBHW/fvsXz58/lPu/Jkyf48MMP8eeff6ogqrpF7iS2bt26Su/xlN/u3LkDoPLZLRhj1XZlTZgwAcOGDUObNm0wYsQInDt3Do8eParyf/bKlSuRk5Mj2VJTU+V9SUrn5uYmNcBj+fLlMDMzk9o00RricDjYuXMnvviikpFmVWCMISgoCB4eHujatataW7raRN8SmJiXq41Mz4ll/LUT6b8tqbAVJlQ94IrH5cCrVcUfsvrk559/RvPmzTF//ny5ktm+ffvQsGFDTJgwQYXR1Q1y/0SaN28eJk6cWG0ZJycn3L9/Hy9fvqxw7PXr12jcuLHM9dna2sLR0REJCQmVHjcyMoKRkZHM11OHdxO1JqehetegQYNkKscYw9mzZ7Fu3TpERUUBAExNTREZGQkvLy9Vhqh19DWBAcAkTwcE3Eiq8rhZu4EwazdQoWuXihgmd9PvSYCvX7+O4uJi7N69G/v378fs2bOxYsWKaj/fb9++xYEDB/Dxxx+jXr16aoxWP8ndErO2toabm1u1m7GxMbp3746cnBzcvn1bcu6tW7eQk5ODHj16yFxfRkYGUlNTYWtrK2+oGhMbGwtnZ2fJv8XTUJXfNPnHe/36dQwfPhwlJSUVjpVveY0aNQpRUVEwNTXFihUrkJSURAlMjxIYALRsbI7eLtZKn7WDx+Wgt4u13k85FRgYiNDQUPTu3VuSzGpqmR07dgyZmZn49NNP1RytflLZPbHWrVvDx8cHs2bNws2bN3Hz5k3MmjULw4cPlxqZ6ObmhlOnTgEA8vPzsWTJEty4cQNJSUkIDw/HiBEjYG1tjdGjR6sqVKW6dOkSYmJiMHbsWE2HUiUzMzP8+eefOHPmjGRfTclr8+bNsLa21mDU6qfvCUxs0+i24Cs5ifG5HGwa3Vap19RGHA4H/fv3x+XLl2VOZm5ubtiwYYNa51fVZyod+3rkyBG0bdtWMmNEu3bt8Ntvv0mViY+PR05O2c1hHo+HmJgYjBo1Cq1atYKvry9atWqFGzduqH1IuiwEAgHS09Px/Plz3L17F5s2bcKoUaMwfPhwTJ06VVJOPA1V+U2T95batWuHfv364ZtvvkFpaSklr0rUlQQGAPaWJlg/UrlTQ20Y6V6nlmGRJ5l5enriq6++0nDE+oPDxGuM6Inc3FxYWFggJydHKXMVVqX8zCJ8Ph8NGzZE+/bt8dFHH8HX1xdcbtnvAycnJyQnJ1c4X1nTUCnqn3/+Qa9eveDk5CQZhGJqaor58+fjiy++qJOJS6wuJbDydoclYNv5R7W+zlJvV8z1qtutDMYYwsLCsG7dOly9ehUAYGhoCGdnZ2zduhUjR47UcITaTZ7vcUpidUxVAzYoeZWpqwlM7GhECtYGPYBQxGSbGPg/PC4HfC4HG0a604rO5VSWzAwMDPDJJ5/UOACkLqMkRkmsgsqSl4mJCebMmYPly5fX+eQFUAITS80sxKpTMbj6+A14XE61yUx8vLeLNTaNblunuhDlIRAI4OzsDIFAgMzMTABlLTNZRjPWRfJ8j9N8MHquugEbycnJ+O6775Cbm4v8/HxNh6pRlMD+n72lCX6b4YkLC/tgiqcjHK1MKszswQHgaGWCKZ6OuLioD36b4UkJrBp+fn5IT09HWFiY3KMZSQ2YnsnJyWEAWE5OjqZD0SiRSMTOnDnDOnbsyFA2mTgzNTVlK1asYK9fv5aUy8nJYebm5mzDhg0ajFazXrx4wdzc3JidnR179OiRpsPRSvlFJezf59nsbnIm+/d5NssvKtF0SDpDJBKxDh06sKlTp0rtCw0NZb1795Z8Pg0NDdm8efPYs2fPNBitdpDne5ySmJ6RNXmVt2jRImZubl7lcX1GCYyoQ15eXqWfL0pmlaMkVkeTWGJiolzJS+z169fM3NycLVq0SE2RagdKYEQWIpGI/fPPPwqdm5mZKVMyqiqZrVu3TqF6dZ083+N0T0yPNG3aFBkZGXI/52VtbY2lS5fip59+qvRxAG1XIBDiwYscRKVk4cGLHBQIhDWeQ/fAiKz279+Pnj17Yvr06cjOzpbr3I0bN8LDw6PKCczFqnrOjBawrZn+Ti9dBxkaGuLYsWNo0aKF3KMNFy1ahNTUVMnzbdou4WUejtxKQVj8K6RkFkqtUMwB4GBpAi9XG0zydEDLxtIPylMCI/J48eIFOBwOAgICcP78efzyyy8YOnRojeelpKRg9+7dWLVqlczzu4qTmZeXF8LDw9GtW7fahq/3aIg90Sm1Hf5NCYwo4vr165g+fToePSp7GHzatGnYsWMHGjRoUOU5kydPxvnz5/HkyROtnHFIm9EQe6Kw0NBQDB48GMXFxZoOpYKjESkYuOMyrj/NAIAaH8YVH7/+NAMDd1zGzxdiKIERhfTo0QPR0dFYvHixpFXm7u6Ov/76q9LyZ8+exZEjR7B161ZKYCpGSYxIsbKywqVLl7Bx40ZNhyJld1gCVpyMgUAokmsmCaAsmQmEImy+lIJ8x16UwIhC6tWrh+3bt+PatWto1aoVXrx4gWHDhlV6r+y9997D6tWr4evrq5lg6xBKYmqQnp6O+fPno3nz5jAyMoK9vT1GjBiB0NBQAGXzK767sGizZs00EmuHDh2wevVqbNq0STKzh6YdjUhRypx+AMDr+D7uZmvX+nNEt9TUKhMIBGjRogW++eabahcAVrXr16+Dx+PBx8dHan9SUpLUd425uTnc3d0xd+7cKtdt1GZ0T0zFkpKS0LNnTzRo0ADr169Hu3btUFJSgr///hv79+9HXFwcnJycMGPGDMyaNUtyHo/HQ6NGjTQSc3FxMbp27QrGGCIiImBoaKiROICye2ADd1yGQCiqtlzunSBkXdwPA2sHNJ25p9qyRnwuLi7qSzNMkFp7917ZgAED8PjxY9y8eRNNmjTRaGwzZ86EmZkZfv31Vzx8+BAODmVzWiYlJcHZ2RkXL16Eu7s7CgsLERMTgx9++AE3b97E2bNnMWDAAI3GTvfEtMicOXPA4XBw+/ZtjBs3Dq1atYK7uzsWL16Mmzf/f2l3c3NzNGnSRLJpKoEBZaMcAwICwBjDixcvNBYHAKw6FQOhDN2H+fcvAABK3qRA8CK+2rJCEcOqUzFKiY/ol19++QWPHz+Wufy7rbLQ0FCkp6cjMjJShVHWrKCgAMeOHcNnn32G4cOHIyAgoEIZKysrNGnSBM2bN8eoUaNw8eJFeHp6YsaMGSgtLVV/0AqiJKZCmZmZCAkJwdy5c2FqalrheHUjmzStQ4cOiI6OhpOTk8ZiSHiZh6uP39R4D0yQloCSV4mo16ILACD/3vlqy5eKGK4+foPHr/KUFivRfefOncMnn3yCLl264Ny5czKfJ75X5u3tDS6XC4FAgOHDhyv0XJmyBAYGwtXVFa6urpg8eTL8/f1RU6cbl8vF559/juTkZI0nYXlQElOhx48fgzEGNze3GssuX74cZmZmkm3Xrl1qiLB6XC4X8fHxmD59ukZGKx65lQKeDCsO598vS1oN+vnCyK41CmKvQFRSVO05PC4Hh2+mKCVOoh/at2+Pbt26ITs7G8OGDcOmTZtq/OIXO3v2LP7++2/s3btX5hGMquTn54fJkycDAHx8fJCfny+5B18d8XeVeI1BXUBJTIXEHwBZbu4uXboU0dHRkq38ytCa9PbtWxw+fFgjoxXD4l/V2AoTlQhQ8PAKDG1bwrCRE0zbDQIrfovCuH+qPa9UxBD26JUywyU6rmnTpggLC8Ps2bPBGMPq1asxfvx4mVZ4MDMzw6xZszBr1iyZRzCqSnx8PG7fvo2JEycCKFu0d8KECThw4ECN58rznaUtKImpUMuWLcHhcBAbG1tjWWtra7i4uEg2belq7NChA7788ku1j1bMFwiRkllYY7nC+H/ABAUwa+cNADBt3Rscw3o1dikCQEpGoUxTVJG6w8jICD///DN+/vlnGBgY4MSJE+jWrVu198kYY/Dy8sL+/fslX/7yPlemTH5+fhAKhbCzswOfzwefz8fevXtx8uRJZGVlVXuu+LvK2dlZ5XEqCyUxFbK0tMTgwYPx008/oaCgoMJxTfWXy2vlypVwd3fHlClTKn0dqpCcUQBZOnLy750Hh28E09Z9AABcw3owce0JwbMHKMmsfn0mBiApQz2vh+iW2bNn4/Lly7C1tcWDBw+qvE92/PhxDB48uNLWmjzPlSmLUCjEoUOHsH37dqmenXv37sHR0RFHjhyp8lyRSIRdu3bB2dkZHTt2VEl8qkBJTMX27NmD0tJSdO3aFSdOnEBCQgJiY2Oxa9cudO/eXdPhycTQ0BBHjhxBZmYmYmLUM6qvuIYh9QBQkvUCgtQHqNeiMwAGUVE+REX5MHXrCeD/RyzWth5SN3Xv3h137txB9+7dK71Pdu/ePfj6+qJhw4aVDtwSU2erLDg4GFlZWZgxYwbatGkjtY0bNw5+fn6SshkZGUhPT8fTp08RFBSEgQMH4vbt2/Dz8wOPx1N6bKpCz4mpQVpaGjZu3Ijg4GCkpaWhUaNG8PDwwKJFi9CvXz84OTlh4cKFWLhwoaZDrVZRURGMjY3VUteDFzkY9uO1astkXT6I3Bt/VHmcZ2YJuzn+4HCr/kD+Ob8X3JvSTOGkagKBAAsWLMD+/fsBAGPHjsV3330HLy8vWFpa4urVq9UmsfLefa4sPDwcffv2VVqsI0aMgEgkwp9//lnh2N27d+Hh4YHIyEh4eHhI9puYmMDR0RFeXl5YtGgRXFxclBaPouT5HqckRuQiEAjw8ccfY8yYMRg7dqzK6ikQCNFm3d9VdikyUSme75kODt8IVkPmVzj+9kkEcm+fQqNxa2Di0rXSa3AA/LtuMEyNaDEHUrP9+/dj3rx5KCkpgYmJCYyNjREVFSV5iFhWb9++xZdffom4uDgEBwfr1CAKdaGHnYnKGBoaoqSkBFOnTsX9+/drda3Lly/j+fPK71uZGvHhUM2MGm+fRqI0PxNmHQbD2LFdha1+t3EAz6DaAR4OViaUwOqYU6dOobCw5gFDlSl/n6ywsBDFxcV48OCB3NcR3ysLCgqiBKYElMSIXDgcDvz9/dGqVSuMHDkSr1+/Vug6oaGh8PHxQb9+/ZCenl5pGS9XmyqfE8u/dx7g8WHWblClx3kmFjBp1R1vn0SgtKDiiCwelwOvVjYKxU500759+zBmzBiMGjVK4UTWpEkTyX2y/Px8uZ8nK0+X7jtpM0piRG6mpqY4c+YMCgsLMW7cOLkfhA4NDcXw4cNRVFQENzc3NGzYsNJykzwdqnxOzGbsl3Bceho8k6rvZzUatQyOy86AZ1rx+qUihsnd5OsGIrqtTZs2MDMzw8WLFxVKZGFhYXB1dUV0dLTCz5MR5aMkRhTi4OCAkydPokePHnL9oiyfwIYPH47jx49Xuepty8bm6O1iLdOsHfLgcTno7WINFxta56ku6dWrF86dO6dQInv69CnGjx+Pvn37wtvbW6HnyYhq0MAOohTp6ek1ztotTwITk3UWe3nQLPZ127Vr1zBkyBDk5+dj4MCBOHPmDExMqv5byMvLQ48ePfD27Vvcvn0blpaWUsdv3LiBsWPHIi0tDQ0aNMD//vc/DBkyRNUvQ6/RwA6iVlevXoWzszMuXbpUZRlFEhgA2FuaYP1Id2WGiw0j3SmB1WHytsg2bNiA5ORkBAUFVUhgQM3PkxHVoiRGaq179+7o06cPRo0aJbW8jJiiCUxsYhcHLPFupZRYl3q7YkIXuhdW18mTyNatW4cLFy7gvffeq/J6tZl3kdQOJTFSa3w+HydPnkSHDh3g4+ODu3fvSo7VNoGJzfNqiS1j2sKIz5X7HhmPy4ERn4tvx7TFXC/NP8hJtEN1iYwxJnmWy9TUFJ6enjVeT9X3yaZNmya1IrOVlRV8fHykHnVhjGH//v3w9PSEmZkZGjRogM6dO2Pnzp0Kj8jUdpTEiFKYmprizz//hKurK+bNmwfGmNISmNjELg64uKgvejS3AoAak5n4eI/mVri4qC+1wEgFlSWygoICLF68GBs3bkRERITc1yz/PFliYqJSk4ePjw/S0tKQlpaG0NBQ8Pl8DB8+XHJ8ypQpWLhwIUaNGoWwsDBER0fjq6++wpkzZ3D+fM2TYusiGthBlCorKwsCgQAPHjxQagJ7V8LLPBy5lYKwR6+QklEoNbMHB2UPMnu1ssHkbg40CpHUqPxgDycnJyQlJWH37t2YO3euwtd88eIF/v33X3h7eyslxmnTpiE7OxunT5+W7Lt69Sr69OmDV69eISwsDBMmTMDp06cxatQoqXMZY5LvRl1A005REtOo8i2wvn374u+//1ZqAntXgUCIpIwCFAtFMORz4WRlSjNxELldu3YNAwYMQHFxMVq2bIno6OhqRy2q27tJLD8/H0uWLEFoaCji4+MxevRoxMfHIy4uTrOBKgGNTiQaUz6BmZub48GDByr/UJka8eHe1AIdHRrCvakFJTCikF69euHbb7+FkZEREhISajWzh6oEBwdLVn83NzdHUFAQAgMDweVykZCQAFdXV02HqHaUxIjSvHsPLC4uDg4ODvDy8sKdO3c0HR4hlRKJRDh48CBKS0uxcOFCXLx4sVYze6iSl5eXZI2wW7duwdvbG0OGDEFycjIYY3VyLkZKYkQpKhvE0bRpU4SGhqJVq1bw9vbWmUVASd1RWlqK2bNnY/r06bh2rWzpn9rM7KFqpqamktXfu3btCj8/PxQUFOCXX35Bq1atZFpFXt+oNIlt3LgRPXr0gImJCRo0aCDTOYwxrFu3Dk2bNkW9evXQr18/hWaKJupT3SjEBg0a4MKFC/jtt99k/hsgRB0KCwvx0Ucfwd/fH4cOHZJa10ubE1l5HA4HXC4Xb9++xUcffYRHjx7hzJkzFcoxxpCTk6OBCFVPpUmsuLgY48ePx2effSbzOVu3bsX333+P3bt3IyIiAk2aNMGgQYOQl5enwkiJomQZRm9ubo5hw4YBAFavXo3vvvuOZjMgGpWTk4M+ffogODgYf/zxByZPnlyhjDYmMoFAgPT0dKSnpyM2Nhbz589Hfn4+RowYgQ8++AATJkzAhx9+iM2bN+POnTtITk5GcHAwBg4ciLCwMI3GrjJMDfz9/ZmFhUWN5UQiEWvSpAnbsmWLZF9RURGzsLBg+/btk6munJwcBoDl5OQoGi6R0cWLF5mxsTEDwIYPH86KioqqLS8SidiqVasYADZ58mT29u1bNUVKiDSRSMSWLFnCoqKiaix79epVZmZmxgCwgQMHsoKCAtUHWAlfX18GQLKZm5uzLl26sOPHj0vKlJaWsr1797IuXbowExMTVr9+febh4cF++OEHVlhYqJG4FSHP97hWJbEnT54wAOzu3btS+0eOHMmmTp1a6TlFRUUsJydHsqWmplISUwN5E1h5//vf/5ixsTHr2rUre/78uQqjJESav78/O336tNznaUsiqyvkSWJaNbBDvDhi48aNpfY3bty4yoUTN2/eDAsLC8lmb2+v8jjrutrOxPHhhx/i2rVreP78OTZu3KjCSAkpIxQKsXjxYkyfPh3h4eFyn6/OrsXr16+Dx+PBx8enwrHi4mJs3boV7du3h4mJCaytrdGzZ0/4+/ujpKREJfFoPXkz5Nq1a6WatJVtERERUufI2hL7559/GAD24sULqf0zZ85kgwcPrvQcaompl0gkYl5eXgq1wN6VlpYm+UVLLTKiKpmZmczb25vxeDz2448/MpFIpPC1xC0yDofDgoODlRjl/5sxYwb7/PPPmampKUtOTpbsFwgErF+/fqxhw4Zs9+7dLCoqij158oQdOXKEdezYUaauUV0hT0tM7qdC582bh4kTJ1ZbxsnJSd7LAoBkPar09HTY2tpK9r969apC60zMyMhIpbNBEGkcDgenTp3Cli1bsG7dulq99+L/38+fP0fr1q3xySefYMuWLbRsO1Gq6dOn486dO/j7778xYMCAWl1L3CJ7/PixZLCSMhUUFODYsWOIiIhAeno6AgICsGbNGgDAzp07ceXKFdy5cwcdO3aUnNO8eXOMHz9e7hXW9YYakqrcAzu+/fZbyT6BQEADO/ScSCRiO3fuZFwul/n4+LCsrCyV1FNUVMS++OIL9vTpU5Vcn2gXcS/B48eP2ePHjzUcjWz8/PxY586dGWOMnT17ljk5OUlaju3atWPe3t6aDE9ttOaeWEpKCqKjo5GSkoLS0lLJk+bl19hxc3PDqVOnAJT9yl+4cCE2bdqEU6dO4d9//8W0adNgYmKCjz76SJWhEg3icDj4/PPPce7cOdy8eRMdOnTArVu3lF6Pv78/tm/fDi8vL5SWlir9+kQ7FBYWYuHChejcuTPy8/PRokULtGjRQtNhycTPz08y3N/Hxwf5+fkIDQ0FACQkJMDNzU2T4WknVWbTd4eEirewsDBJGQDM399f8m+RSMTWrl3LmjRpwoyMjFifPn1YTEyMzHVSS0y3PX36lA0bNkzpv5yLioqYvb09A8B27dql1GsT7XHlyhXWokULZmxszL7//ntWWlqq6ZBkFhcXx/h8PktPT5fsmzt3Lvvwww8ZY4wZGxuzzz//XEPRqZfWDbFXJ0pi+iMvL4/179+fXbx4sdbX2rt3LwPAbG1t6fk0PbVhwwbG4XBYjx49WHx8vKbDkdvSpUsZAMbj8SQbl8tlRkZGLDMzk7oTq6BVQ+wJKS8vLw+MMQwcOBCfffaZwrO2CAQCbNq0CQCwcuVKGBsbKzNMomHiruH27dtj27ZtuHLlClq1aqXhqOQjFApx6NAhbN++XXLbJTo6Gvfu3YOjoyOOHDmCjz76CBcvXkRUVFSl5xcUFGggci2g+pyqXtQS0y+lpaXsp59+YqampszR0ZGFh4fLfQ1qhemn/Px8tmDBAjZ69OhaDZvXBqdOnWKGhoYsOzu7wrFVq1axDh06sKKiIta7d2/JEPvo6Gj25MkTFhgYyDp16lRnh9hTS4xoNS6Xizlz5uD+/fto3rw5BAKBXOdTK0y14uLi8PXXXyMzM1Ot9V69ehXt27fH/v370bt3b52fi9PPzw8DBw6sdOXlsWPHIjo6Gg8ePMCFCxewbNky/Pzzz+jWrRu6dOmCXbt2YcGCBWjTpo0GItcCqs+p6kUtMf0l/rUtEonYjBkz2J9//lnjL3BqhalW27ZtGQB24MABtdW5YsUKnb73RWpGLTGil8QL/uXm5uLp06cYNmwY+vfvX+VwfGqFqd748eMBAH/88YdK63n79q1kmidzc3Ns375dJ+99EeWjJEZ0joWFBUJDQxEUFITXr1+jW7dumDFjRoVy/v7+SE1Nha2tLWbNmqWBSPWfOIlduHABWVlZSr++UCiEn58fWrVqhW+//RYAsGrVKixatIhmdiEAKIlptWnTpoHD4Ug2Kysr+Pj44P79+1Llypcpvx09elTmutatWyc5j8/nw9raGn369MHOnTsr3Ifq169fpfUJhUKlvG5ZcDgcjBgxAvfu3cPBgwfRrVs3AEBWVhaePXtGrTA1cXNzQ9u2bSEUCnH69GmlXZcxhpMnT6Jt27aYOXMmevbsWemaX7VR3US7SUlJUn/bhoaGcHFxwTfffKPw/bf//e9/4PF4+PTTTyscCw8Pr/Qz9eWXX8p8/fKfYQ6HAwsLC/Tu3RuXL1+WKufk5FShnmbNmin0mrSCyjs31Uyf7on5+voyHx8flpaWxtLS0lhUVBQbNmwYs7e3lyqH/x4YF5cTb/LcA1q7di1zd3dnaWlp7Pnz5+z+/fts165dzMbGhnXq1Inl5uZKyvbt25fNmjWrQn3aYNWqVczY2JgNGjSI7oWpyYYNGxgANmTIEKVd88aNGwwA8/b2ZpGRkUq7bnlVTbTLGGOJiYkMALt48SJLS0tjSUlJ7PDhw8zY2Jj9+uuvCtU3YMAAtmLFCmZhYVFhKZewsDAGgMXHx0t9pvLy8mS+fvnPcFpaGnvw4AGbPn06MzMzkxr16OjoyDZs2CBVz6tXrxR6TapCDzvrURIbNWqU1L4rV64wAFJ/dADYqVOnalXX2rVrWfv27Svsj42NZYaGhmz16tWSfX379tXamQNycnLYqlWrGIfDkcy0n5+fr+mw9FpsbCwDwPh8PsvMzFT4Onfv3mXLli2TDNZRVfJirGx4vrm5OYuLi2MTJkxg69evlzouTmLvDlvv378/mzNnjtz1JSYmsnr16rHs7Gzm6enJDh48KHVcnMRqM29oZZ/hlJQUBoDdvn1bss/R0ZHt2LFD4XrUgQZ26Kn8/HwcOXIELi4usLKyUkudbm5uGDJkCE6ePKmW+mqrfv36sLe3B2MMpqam+Pvvv/Hvv/8CAM2XqCK16VJkjCE8PBzjxo1Dp06dcPr0abx+/RoA0KlTJxVEWyYwMBCurq5wdXXF5MmT4e/vX2M34Z07d3D37l14enrKXd+BAwcwbNgwWFhYYPLkyfDz81M0dJkJBAIEBASgQYMGcHV1VXl9GqPqjKpu+tYS4/F4zNTUlJmamkq6x979hQqAGRsbS8qJtydPnshcV1UtMcYYW758OatXr57k33379mUGBgZSdS1evFih16hs786R+PLlS8ZY2bD8zp07sw8//JBdvXpV5x+O1TaKdikOGDCAAWBubm7sl19+YSUlJSqKUFqPHj3Yzp07GWOMlZSUMGtra3bhwgXJcXFLrF69eszU1JQZGBgwAGz27Nly11VaWsrs7e0lK0q/fv2aGRgYsISEBEkZcUvs3c/wmzdvZK5n7dq1jMvlSs7lcDisfv367Ny5c1LlHB0dmaGhoVQ9P/zwg9yvS5WoJaZHvLy8JFPQ3Lp1C97e3hgyZAiSk5Olyu3YsUNqupro6GilrXLNGJMMbxebNGmSVF0rV65USl219e6IRBsbGwBlrbCPPvoIERER6N27N9q3b499+/bJ/fA0qZysoxTv3buHTz/9FM+fPwcAzJ49G5cuXcLDhw8xc+ZM8PlyL3Eot/j4eNy+fVuyLiKfz8eECRNw4MCBCmUDAwMl0z8FBgbizJkzWLFihVz1nT9/HgUFBRgyZAgAwNraGt7e3pXWd/XqVanPVcOGDeWqy9XVVXJuZGQkPvvsM4wfPx537tyRKrd06VKpeqZOnSpXPVpF9TlVvfStJfbuPTGhUMhMTU2l7lFBhffEGGNsxIgRzN3dXfJvbb0nJstM9aWlpez8+fPs/fffZ/b29qy4uJgxxtizZ8/UGapequrB56KiInbkyBHWs2dPBoA1bdpUaiULdatpol3Gqr4ntnnzZsbn8+UaLDR+/PgK9XE4HNa0aVMmFAoZY6q7J8YYY66urmzSpEmSf9M9MaJRHA4HXC4Xb9++VUt9cXFxCAkJwdixY9VSX23I8lwYl8vFoEGDcOrUKcTFxcHAwADPnj2Do6MjvLy88Mcff6CoqEjNkeuHdx98Zv/dY5o/fz4mTZoEIyMjHD9+HElJSejXr59GYpRlot3q8Hg8CIVCmVdRzsjIwJkzZ3D06NEKPSX5+fk4d+6cMl5WtXg8ntq+LzRB9W13UisCgQDp6ekAyp6B2r17N/Lz8zFixAipctnZ2ZJyYubm5jA1NZW5LqFQiPT0dIhEImRkZCA8PBzffPMNOnTogKVLl9b+xaiQIs+FmZiYAABsbGxw+PBh7NmzBx988AFMTU0xbtw4BAQEqDJkvTN27FisWbMGf//9N9zd3bFkyRJMnz4dS5YswaJFi9C6dWtNh4jg4GBkZWVhxowZFeYpHDduHPz8/DBv3jzJvoyMDKSnp0MoFCImJgY//PADvLy8UL9+fZnq++2332BlZYXx48eDy5VuMwwfPhx+fn4YPnx47V/Yf8SfYaBsFYjAwEA8fPgQy5cvV1odWkf1DUP10rfuRJRbTNTc3Jx16dKFHT9+XKpc+TLlt82bN0uVKb/46LvWrl0rOY/H4zFLS0vWq1cvtmPHDsky72La2J2orDkSHz58yDZt2sS+/PJLxljZUOx+/fqxb7/9lsXGxtKAkCrs2bOH2draSv6Gunfvzq5du6bpsCoYPnw4Gzp0aKXHIiMjGQAWGRkp6U4s/5lo1qwZmzVrltTjLeJuwMTExEqv2bZt2yqH5J84cUKyCKYs3YnyfIYBMBMTE9a2bVu2d+9eqXL61p1ISawOSExMZHw+nz169EjToaiEKldtTk5OZiNHjmT16tVjAFjLli2lnmWqi9LT05mfnx8bNWoU+/vvvxljZV/IixcvZh9//LHSH3zWZv7+/szFxUVyb1VV9P0z/C55vsepO7EOCAkJwezZs9GyZUtNh6ISqpwj0cHBAWfOnMHbt28l8zWKpyQqLS3F7Nmz8d5778HDwwOdOnWSuZtJV7CyH7rgcrk4ePAg9u3bh1u3boHD4aBHjx6S+15jxozBmDFjEBcXhwMHDkhGKco7uk7XhISEYNOmTTAwMFB5Pfr8Ga4NDmMKTgSmpXJzc2FhYYGcnBy9+0IhFQkEArRs2RKpqanYtWsX5s+fr7a6nz17hg8++ADR0dGSG+etWrVCVFQUTExMEBsbCzs7O536O3zy5Anu3LmDyMhIycO9wcHB6NWrF3788UdcuXIFw4cPx9ChQ9GoUaNKr9GuXTvExMTgwIEDmD59uppfAdEH8nyPUxIjOm3fvn347LPPYGtri6dPn2pkol+hUIi4uDhERkbi8ePH+PrrrwEALVq0wNOnT9GqVSt4eHjAw8MDU6dORaNGjVBUVARDQ8MKN/vVoaioCGlpaXjx4gVSUlLw4MEDfP311+BwOOjYsSOio6Ph4OAgiXnSpElwcnKS+fpff/011qxZgyFDhuCvv/5S3QsheouSGCWxOuPKlStYsWIFPvzwQ7W2wmTx4MEDSasmMjIS0dHRuHbtGjp27Ii5c+di//79sLW1lWwTJkzAhx9+iIyMDNy6dQtNmzaFpaUlDAwMYGhoKJlqTCAQSFYNEAqFKCkpgVAohJmZGUxNTZGamoobN25IElVaWhqcnJywYcMGZGZmVpiyzMHBAXfu3EGjRo3w4MED2NjYVNnKkkVcXBxat24NPp+PV69e6X2XIlE+eb7H6Z4Y0Wl9+vTBP//8A5FIpOlQKnB3d4e7uzt8fX0BlLXYxDOfTJ06Fe7u7pIkk5aWhvz8fABlc/QNGzZM6lrOzs54+vQpAMDe3l4yv2B5e/fuxaeffopLly5h2rRpMDY2RtOmTWFraws7OzsAQMOGDXHw4EHY2tqiadOmsLOzQ4MGDaRiri3xXIoxMTE4ffo0dSkSlaKWGCFaRvysT1paGjIzMyEUCmFkZISBAwcCKHuYWCAQgMfjgc/nS7Z27drB0dERBQUFKCkpgYWFRYXpwtSFuhRJbVB3IiUxQjSKuhRJbcjzPU7TThFClE5VKz4T8i5KYoQQlXh3LkVCVIGSGCFEJWRdnoWQ2qAkRghRCXGXIo/HQ2RkpKbDIXqKhtgTQlTm999/h4ODA8zNzTUdCtFTlMQIISqjjOfOCKkOdScSQgjRWZTECCGE6CxKYoQQQnQWJTFCCCE6i5IYIYQQnUVJjBBCiM5SaRLbuHEjevToARMTE6nlHqozbdo0cDgcqa1bt26qDJNoSHp6OubPn4/mzZvDyMgI9vb2GDFiBEJDQwEATk5Okr+BevXqwcnJCR988AEuXbqk4cgJIdpCpUmsuLgY48ePx2effSbXeT4+PpI1ltLS0mgpBz2UlJQEDw8PXLp0CVu3bkVMTAxCQkLg5eWFuXPnSspt2LABaWlpiI+Px6FDh9CgQQMMHDgQGzdu1GD0hBBtodKHndevXw8ACAgIkOs8IyMjNGnSRAUREW0xZ84ccDgc3L59G6amppL97u7u+PjjjyX/Njc3l/wtODg4oE+fPrC1tcWaNWswbtw4uLq6qj12Qoj20Mp7YuHh4bCxsUGrVq0wa9YsvHr1StMhESXKzMxESEgI5s6dK5XAxGrqev7888/BGMOZM2dUFCEhRFdo3bRTQ4YMwfjx4+Ho6IjExER89dVX6N+/PyIjI2FkZFShvEAggEAgkPw7NzdXneESBTx+/BiMMbi5uSl0vqWlJWxsbJCUlKTcwAghOkfulti6desqDLx4d7tz547CAU2YMAHDhg1DmzZtMGLECJw7dw6PHj3Cn3/+WWn5zZs3w8LCQrLZ29srXDdRD/Fi4hwOp1bXqM35hBD9IHdLbN68eZg4cWK1ZZycnBSNpwJbW1s4OjoiISGh0uMrV67E4sWLJf/Ozc2lRKblWrZsCQ6Hg9jYWLz//vtyn5+RkYHXr1/D2dlZ+cERQnSK3EnM2toa1tbWqoilUhkZGUhNTYWtrW2lx42MjCrtZiTay9LSEoMHD8ZPP/2EBQsWVLgvlp2dXe19sR9++AFcLlehBEgI0S8qHdiRkpKC6OhopKSkoLS0FNHR0YiOjkZ+fr6kjJubG06dOgUAyM/Px5IlS3Djxg0kJSUhPDwcI0aMgLW1NUaPHq3KUIma7dmzB6WlpejatStOnDiBhIQExMbGYteuXejevbukXF5eHtLT05GamoorV65g9uzZ+Oabb7Bx40a4uLho8BUQQrQCUyFfX18GoMIWFhYmKQOA+fv7M8YYKywsZN7e3qxRo0bMwMCAOTg4MF9fX5aSkiJznTk5OQwAy8nJUfKrIcr24sULNnfuXObo6MgMDQ2ZnZ0dGzlypOTvw9HRUfI3Y2hoyBwcHNgHH3zALl26pNnAiUL++ecfxuVy2eDBg6X2JyYmVvo9AYDduHFDQ9ESTZLne5zD2H932fVEbm4uLCwskJOTg/r162s6HELIf2bOnAkzMzP8+uuvePjwIRwcHACUPfju7OyMixcvVlhE08rKCgYGBpoIl2iQPN/jWjfEnhCifwoKCnDs2DFEREQgPT0dAQEBWLNmjVQZKysrmuSAyE0rH3YmhOiXwMBAuLq6wtXVFZMnT4a/vz/0rBOIaAglMUKIyvn5+WHy5MkAyuZGzc/Pl0z0LNajRw+YmZlJbaWlpZoIl+gQ6k4khKhUfHw8bt++jZMnTwIA+Hw+JkyYgAMHDmDgwIGScoGBgWjdurXUuTweT62xEt1DSYwQolJ+fn4QCoWws7OT7GOMwcDAAFlZWZJ99vb29NgEkRt1JxJCVEYoFOLQoUPYvn275DnR6Oho3Lt3D46Ojjhy5IimQyQ6jlpihBCVCQ4ORlZWFmbMmAELCwupY+PGjYOfnx+GDx8OoGx2nvT0dKkyDRo0gLGxsdriJbqHWmKEEJXx8/PDwIEDKyQwABg7diyio6ORmZkJABg4cCBsbW2lttOnT6s5YqJr6GFnQgghWkWe73FqiRFCCNFZlMQIIYToLEpihBBCdBYlMUIIITqLkhghhBCdRUmMEEKIzqIkRgghRGdREiOEEKKzKIkRQgjRWZTECCGE6CxKYoQQQnQWJTFCCCE6i5IYIYQQnUVJjBBCiM6iJEYIIURnURIjhBCisyiJEUII0VmUxAghhOgsSmKEEEJ0FiUxQgghOouSGCGEEJ1FSYwQQojOoiRGCCFEZ1ESI4QQorMoiRFCCNFZlMQIIYToLL6mA1A2xhgAIDc3V8OREEIIUYT4+1v8fV4dvUtieXl5AAB7e3sNR0IIIaQ28vLyYGFhUW0ZDpMl1ekQkUiEFy9ewNzcHBwOR9PhVCs3Nxf29vZITU1F/fr1NR2O3HQ5fopdc3Q5fopdPRhjyMvLQ9OmTcHlVn/XS+9aYlwuF82aNdN0GHKpX7++1v9RVUeX46fYNUeX46fYVa+mFpgYDewghBCisyiJEUII0VmUxDTIyMgIa9euhZGRkaZDUYgux0+xa44ux0+xax+9G9hBCCGk7qCWGCGEEJ1FSYwQQojOoiRGCCFEZ1ESI4QQorMoianZxo0b0aNHD5iYmKBBgwYynTNt2jRwOByprVu3bqoNtBKKxM4Yw7p169C0aVPUq1cP/fr1w4MHD1QbaBWysrIwZcoUWFhYwMLCAlOmTEF2dna152jqvd+zZw+cnZ1hbGwMDw8PXL16tdryly9fhoeHB4yNjdG8eXPs27dP5TFWRZ7Yw8PDK7y/HA4HcXFxaoz4/125cgUjRoxA06ZNweFwcPr06RrP0Zb3Xt7Yte29VxQlMTUrLi7G+PHj8dlnn8l1no+PD9LS0iTbX3/9paIIq6ZI7Fu3bsX333+P3bt3IyIiAk2aNMGgQYMkc1yq00cffYTo6GiEhIQgJCQE0dHRmDJlSo3nqfu9DwwMxMKFC7F69WpERUWhd+/eGDJkCFJSUiotn5iYiKFDh6J3796IiorCqlWrsGDBApw4cUKlcVZG3tjF4uPjpd7jli1bqiliaQUFBWjfvj12794tU3lteu/ljV1MW957hTGiEf7+/szCwkKmsr6+vmzUqFEqjUcessYuEolYkyZN2JYtWyT7ioqKmIWFBdu3b58KI6zo4cOHDAC7efOmZN+NGzcYABYXF1fleZp477t27co+/fRTqX1ubm5sxYoVlZZftmwZc3Nzk9r3ySefsG7duqksxqrIG3tYWBgDwLKystQQnXwAsFOnTlVbRpve+/JkiV2b33t5UEtMR4SHh8PGxgatWrXCrFmz8OrVK02HVKPExESkp6fD29tbss/IyAh9+/bF9evX1RrLjRs3YGFhAU9PT8m+bt26wcLCosZY1PneFxcXIzIyUuo9AwBvb+8q47xx40aF8oMHD8adO3dQUlKisljfpUjsYh07doStrS0GDBiAsLAwVYapVNry3teGrr73YpTEdMCQIUNw5MgRXLp0Cdu3b0dERAT69+8PgUCg6dCqlZ6eDgBo3Lix1P7GjRtLjqkzFhsbmwr7bWxsqo1F3e/9mzdvUFpaKtd7lp6eXml5oVCIN2/eqCTOyigSu62tLfbv348TJ07g5MmTcHV1xYABA3DlyhV1hFxr2vLeK0LX33sxvZvFXhPWrVuH9evXV1smIiICnTt3Vuj6EyZMkPx3mzZt0LlzZzg6OuLPP//EmDFjFLqmmKpjB1BhSRzGmNKWyZE1/srikCUWVb731ZH3PausfGX71UGe2F1dXeHq6ir5d/fu3ZGamopt27ahT58+Ko1TWbTpvZeHPrz3ACUxpZg3bx4mTpxYbRknJyel1WdrawtHR0ckJCTU+lqqjL1JkyYAyn6t2traSva/evWqwq9XRcka//379/Hy5csKx16/fi1XLMp87ytjbW0NHo9XoeVS3XvWpEmTSsvz+XxYWVmpJM7KKBJ7Zbp164bDhw8rOzyV0Jb3Xll06b0XoySmBNbW1rC2tlZbfRkZGUhNTZVKDIpSZezOzs5o0qQJLly4gI4dOwIou29y+fJlfPvtt0qpQ9b4u3fvjpycHNy+fRtdu3YFANy6dQs5OTno0aOHzPUp872vjKGhITw8PHDhwgWMHj1asv/ChQsYNWpUped0794dZ8+eldp3/vx5dO7cGQYGBiqJszKKxF6ZqKgolb2/yqYt772y6NJ7L6HJUSV1UXJyMouKimLr169nZmZmLCoqikVFRbG8vDxJGVdXV3by5EnGGGN5eXnsiy++YNevX2eJiYksLCyMde/endnZ2bHc3Fytjp0xxrZs2cIsLCzYyZMnWUxMDPvwww+Zra2t2mNnjDEfHx/Wrl07duPGDXbjxg3Wtm1bNnz4cKky2vDeHz16lBkYGDA/Pz/28OFDtnDhQmZqasqSkpIYY4ytWLGCTZkyRVL+6dOnzMTEhC1atIg9fPiQ+fn5MQMDA3b8+HGVxais2Hfs2MFOnTrFHj16xP7991+2YsUKBoCdOHFC7bEzVvb/XPx3DYB9//33LCoqiiUnJ1cavza99/LGrm3vvaIoiamZr68vA1BhCwsLk5QBwPz9/RljjBUWFjJvb2/WqFEjZmBgwBwcHJivry9LSUnR+tgZKxtmv3btWtakSRNmZGTE+vTpw2JiYtQeO2OMZWRksEmTJjFzc3Nmbm7OJk2aVGF4sba89z/99BNzdHRkhoaGrFOnTuzy5cuSY76+vqxv375S5cPDw1nHjh2ZoaEhc3JyYnv37lV5jFWRJ/Zvv/2WtWjRghkbG7OGDRuyXr16sT///FMDUZcRDzt/d/P19WWMafd7L2/s2vbeK4qWYiGEEKKzaIg9IYQQnUVJjBBCiM6iJEYIIURnURIjhBCisyiJEUII0VmUxAghhOgsSmKEEEJ0FiUxQgghOouSGCGEEJ1FSYwQQojOoiRGCCFEZ1ESI4QQorP+D983JfObhJh4AAAAAElFTkSuQmCC", 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Super simple graph \n", + "G = EmbeddedGraph()\n", + "G.add_node('A', 0,0)\n", + "G.add_node('B', 1,0)\n", + "G.add_node('C', 2,1)\n", + "G.add_node('D', 1,2)\n", + "G.add_edge('A', 'B')\n", + "G.add_edge('B', 'D')\n", + "G.add_edge('D', 'C')\n", + "\n", + "G.plot(angle_labels_circle=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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"text/plain": [ "
    " ] @@ -62,6 +102,7 @@ "G = create_example_graph(centered=True)\n", "G.rescale_to_unit_disk()\n", "\n", + "\n", "fig, ax = plt.subplots()\n", "G.plot(ax = ax, angle_labels_circle=True)" ] @@ -75,7 +116,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -93,10 +134,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, @@ -131,7 +172,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -139,18 +180,17 @@ "text/plain": [ "{-0.7853981633974483: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", " -0.6747409422235526: [('A', 'C')],\n", - " -0.4636476090008061: [('A', 'D')],\n", + " -0.4636476090008061: [('A', 'D'), ('F', 'C')],\n", " -1.2490457723982544: [('A', 'E')],\n", " -0.5880026035475675: [('B', 'C')],\n", " 0.0: [('B', 'D'), ('E', 'F')],\n", " -2.356194490192345: [('B', 'E'), ('D', 'F')],\n", " 2.0344439357957027: [('C', 'D')],\n", " 2.896613990462929: [('C', 'E')],\n", - " 2.677945044588987: [('C', 'F')],\n", " -2.819842099193151: [('D', 'E')]}" ] }, - "execution_count": 7, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } diff --git a/docs/_images/notebooks_Tutorial-ExactECT_3_1.png b/docs/_images/notebooks_Tutorial-ExactECT_3_1.png index b8ce46f8add364b1b913591d1b729fbdfc918f96..e6933e4d7245d70328089316f2e423a9caad4149 100644 GIT binary patch literal 22908 zcmcG$cRZK>`#$`#NA?Plne076_7;VNWJNZSJ+t>NGO{+_hM%;q z(s95);%-U?Zg-um+&mw;SfVr^x;Z;IxjERHGkRFMxY{~B7UC7>735~LadUHamEhxZ z{O@nzb#k%hW4eto17CvYta{%Sg(7~4{6Q;~DX~SN48E%=%ISJ#?#z1|=}uh8>`xJN ze&Aqy%@WT1H9k5&g`Kl7KfMgksxjG~H%Bm4STm_#qjubs(=OwhC2zx{XnR}UT-=P{ zOApYQC54vSK4mU4Jk4VDNJ|&O*jry|Um+Fp^me!0^&M(i&t@@;6(EtvWun9L#$gO4 zkuRktmB(F$QG9=bX;Fs zn=~^kD`ov~6F%qj)OM(&BN(}xjhflV^;$UCaIasq1(-ugI_N1`{{Q@s@VBv|TO*%8 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100644 --- a/docs/_modules/ect/embed_graph.html +++ b/docs/_modules/ect/embed_graph.html @@ -646,13 +646,15 @@

    Source code for ect.embed_graph

     
     
    [docs] - def get_all_angles(self, returntype='matrix'): + def get_all_angles(self, returntype='matrix', num_rounding_digits=None): """ Function to get all angles of normals to any line between veritces in the graph. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order. Parameters: returntype (str): The return type of the angles. Options are 'matrix' or 'dict'. If 'matrix', returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If 'dict', returns a dictionary of angles with `dict['A','B']` returning the angle normal to the vector :math:`\\overrightarrow{AB}`. + rounding_digits (int): + The number of digits to round the angles in either the matrix or the keys of the dictionary. Returns: list: A list of angles of the vertices in the graph. @@ -678,18 +680,25 @@

    Source code for ect.embed_graph

             np.fill_diagonal(Y_diff, np.nan)
     
             angle_matrix = np.arctan2(X_diff, -Y_diff)
    +        if num_rounding_digits != None:
    +            angle_matrix = np.round(angle_matrix, num_rounding_digits)
    +
             if returntype == 'matrix':
                 return angle_matrix, labels
    +
             elif returntype == 'dict':
                 angle_dict = {}
                 for i in range(len(labels)):
                     for j in range(i+1, len(labels)):
    -                    if angle_matrix[i, j] not in angle_dict.keys():
    -                        angle_dict[angle_matrix[i, j]] = [
    -                            (labels[i], labels[j])]
    -                    else:
    +                    if angle_matrix[i, j] in angle_dict.keys():
                             angle_dict[angle_matrix[i, j]].append(
                                 (labels[i], labels[j]))
    +                    elif angle_matrix[j, i] in angle_dict.keys():
    +                        angle_dict[angle_matrix[j, i]].append(
    +                            (labels[j], labels[i]))
    +                    else:
    +                        angle_dict[angle_matrix[i, j]] = [
    +                            (labels[i], labels[j])]
                 return angle_dict
    @@ -752,7 +761,6 @@

    Source code for ect.embed_graph

                 # Always adjust the plot limits to show the full graph
                 ax.set_xlim(circle_center[0] - r, circle_center[0] + r)
                 ax.set_ylim(circle_center[1] - r, circle_center[1] + r)
    -        ax.set_aspect('equal', 'box')
     
             if angle_labels_circle:
                 circle_center = self.get_center(type='min_max')
    @@ -769,17 +777,23 @@ 

    Source code for ect.embed_graph

                 # Draw hash marks on the circle
                 hash_length = 0.1*r  # Length of the hash marks
                 for theta in angles_dict_labels.keys():
    -                for angle in [theta, -theta]:
    -                    x_start = (r-hash_length) * np.cos(angle)
    -                    y_start = (r-hash_length) * np.sin(angle)
    -                    x_end = (r + hash_length) * np.cos(angle)
    -                    y_end = (r + hash_length) * np.sin(angle)
    +                for angle in [theta, theta + np.pi]:
    +                    x_start = circle_center[0] + \
    +                        (r-hash_length) * np.cos(angle)
    +                    y_start = circle_center[1] + \
    +                        (r-hash_length) * np.sin(angle)
    +                    x_end = circle_center[0] + \
    +                        (r + hash_length) * np.cos(angle)
    +                    y_end = circle_center[1] + \
    +                        (r + hash_length) * np.sin(angle)
                         ax.plot([x_start, x_end], [y_start, y_end], color='black')
     
                         # Add labels near the hash marks
                         scaling = 3
    -                    label_x = (r + scaling * hash_length) * np.cos(angle)
    -                    label_y = (r + scaling * hash_length) * np.sin(angle)
    +                    label_x = circle_center[0] + \
    +                        (r + scaling * hash_length) * np.cos(angle)
    +                    label_y = circle_center[1] + \
    +                        (r + scaling * hash_length) * np.sin(angle)
                         ax.text(label_x, label_y,
                                 angles_dict_labels[theta], ha='center', va='center')
                 # Always adjust the plot limits to show the full graph
    @@ -788,6 +802,7 @@ 

    Source code for ect.embed_graph

                             circle_center[0] + scale_factor*r)
                 ax.set_ylim(circle_center[1] - scale_factor*r,
                             circle_center[1] + scale_factor*r)
    +        ax.set_aspect('equal', 'box')
     
             return ax
    diff --git a/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt b/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt index f5f05fc..a341a75 100644 --- a/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt +++ b/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt @@ -49,7 +49,47 @@ }, { "data": { - "image/png": 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", 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Super simple graph \n", + "G = EmbeddedGraph()\n", + "G.add_node('A', 0,0)\n", + "G.add_node('B', 1,0)\n", + "G.add_node('C', 2,1)\n", + "G.add_node('D', 1,2)\n", + "G.add_edge('A', 'B')\n", + "G.add_edge('B', 'D')\n", + "G.add_edge('D', 'C')\n", + "\n", + "G.plot(angle_labels_circle=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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wMA4ePKiR+vSG+nOqZulyS6xnz55s/fr1jDHGysvLmZ2dHTt58qTkuLgl1qhRI2Zubs6MjIwYADZt2jSF66qoqGBOTk7s8OHDjDHGXrx4wYyMjFhqaqqkjLglZm5uLrW9fPlS7noWL17MuFyu5FwOh8MaN27Mjh8/LlXOxcWFGRsbS9Xz888/K/y6aiNPa6y8vJwdOHCADRw4kAFg0dHRknPf1L59ewaAbd++XaVxNjRCoZBFRkaywYMHMwDsq6++Yowxpcd5tSE0NJTxeDzJZxcAc3BwYAkJCVLlADBTU9Nqf1MPHjyQu66aWmKMMTZ//nzWqFEjyb/79evHjIyMpOqaPXu2Uq9Rl1BLTAfdvXsXV65ckfxC5fP5GDNmDLZv316tbEREBJKSknD9+nVEREQgMjISCxYsUKi+EydOoKSkBMHBwQAAOzs7BAYGyqzv3LlzSEpKkmyKLrfk6ekpOTchIQGffvopRo8ejatXr0qVmzt3rlQ9EyZMUKieutTVGvv111/h6uqKUaNG4dWrV9izZ49kdQtZq32IV7b/888/VRpnQ8Pj8TB8+HBER0cjNTUVM2fOBAD88MMPCA4OxtGjR1FRUaHlKOvm7+8v+exevnwZgYGBCA4ORnp6ulS5devWSX3Ok5KS4OTkpJIYmIz7C8eOHStV11dffaWSuvSG+nOqZulqS2zu3LmS2UbijcvlMhMTE5abm8sYq3lMbNWqVYzP5ys0ODx69Ohq9XE4HNaiRQvJfU7qGhNjjDFPT082duxYyb/VPSYm9mZr7NatW5KB7o0bN7Jp06ZVe39rIp6lyOfzJf+PiOocPHiQdevWjQGQfD4U+YxrkqwxMaFQyMzNzaXGqKDGMTHGGBs2bBjz9vaW/JvGxKglphFCoRC7du3C2rVrpX4xXb9+HS4uLti7d2+t5/N4PAiFQpSVlclVX05ODiIjI/HHH39U+0VYXFyM48ePq+Jl1YrH42ll7KNqa+zrr79Gu3btsH79egDAjBkz8Ouvv6JTp05yXcvLywvt27eHUCjE4cOH1RNwAzZy5EhcuXIFV65cQb9+/TBnzhzExcVpOyy5ie+N09Tn/M6dO4iOjsaoUaM0Up++oLUTNSAqKgp5eXmYPHkyrKyspI69++67CAsLw2effSbZl5OTg+zsbAiFQiQnJ+Pnn3+Gv7+/3Ddv7969G7a2thg9enS1G1BDQkIQFhaGkJCQ+r+wfwmFQmRnZwMAioqKEBERgdu3b2P+/Pkqq0NeOTk5uHHjBgDg9evXePvtt7Fs2TKlrzd69GgkJyfjzz//xKRJk1QVJqmiW7du2LlzJ5YsWQJXV1cAwGeffYbAwEAMGzZMZ5a6EggEks95Xl4eNm7ciOLiYgwbNkyqXH5+vqScmKWlJczNzeWuS/w3JV4iLC4uDsuXL0enTp0wd+7c+r8YQ6KBlqFG6WJ3YkhICBsyZIjMYwkJCQwAS0hIqHazM4/HYy1btmRTp06VmsYr7gZ89OiRzGu2b9++xin5Bw4cYHw+n2VnZ8vVnYhall9irPrNzmZmZqx9+/Zsy5YtUuU01Z1448YNZmVlxUaMGFHv+8YYoy5FbSguLpZMvOnZsyc7e/astkOqdrOzpaUl69atG9u/f79Uuaplqm6rVq2SKiPv3xSPx2M2Njasd+/eNd7s3NC7EymJ6aHw8HDm7u4uc0adKj169Ijx+Xx27949tdZTHwKBgG3cuJH169dPskpBcXGxSlfxoFmK2nHixAnWpUsXBoCNGTNG2+GohD78TekCGhMzcNHR0Vi5cqXaH3gYHR2NadOmoU2bNmqtRxkikQj//e9/0bZtW8ycOROurq4oKSkBAJibmyt131hNaJaidgwaNAjx8fGIiIiQzCItKCjAo0ePtBtYPejy35Te0kBS1aiG0BIjjL399tsMABs2bBhLTk6WWUZVrTHqUtQdy5YtY0ZGRmzZsmVq74kg2kMtMQN14cIF8Hg8BAUFVTtWVlaGNWvWoGPHjjAzM4OdnR169eqF8PBwqQcg6rOKigoUFBQAAKZPn46zZ8/iyJEjaNeunczyqmqNVZ2lGBkZqVzwRCVmz56NuXPnYunSpejRo4dkEg9pwDSQVDXKkFtiNS0eLBAIWP/+/VmTJk3Yxo0bWWJiInvw4AHbu3cv69y5s9z3Remy27dvM19fXzZy5EiFzlNVa+zIkSPs2LFjTCAQKH0Nojrx8fGsXbt2zMjIiD18+FDb4RAVo4kdBpjEals8+Pvvv2dcLpddu3at2nllZWWsuLhYk6GqlFAoZN9//z0zMTFhHh4e7MKFCwpfQxUr3BPd8/r1a3bgwAHGWOUSVlWXVCP6jZKYASaxsLAw1rVrV8YYY0ePHmWurq6Stec6dOjAAgMDtRmeWgiFQta7d2/G4XDYnDlzlH5OlTqe/kx0S0REBI2VGRAaEzNAYWFhGDduHAAgKCgIxcXFiImJAQCkpqbCy8tLm+GpVEVFBcrLy8Hj8TBu3Dj8888/+OGHH9CoUSOlrqfKmYpEN40YMQLz5s3D0qVL4evrS2NlDQglMT1Q1+LBTMaioPrqzp076NWrF7777jsAwMcffww/P796X3f8+PFwc3PD8+fPsXXr1npfj+gWExMTLF++HJcuXUJ5eTm6du2KCxcuaDssogGUxPRAWFgYhEIhHB0dwefzwefzsWXLFhw8eBB5eXnw8PBASkqKtsOst8OHD6Nr167Iy8uTrL6vKlVbYxs2bNCLVdOJ4rp27YqrV69i3bp16N69O4DKJZyI4VJrEjt79iyGDRuGFi1agMPhyLWI6pkzZ+Dj4wNTU1O0atWqwf9qlmfx4A8//BCnTp1CYmKizPPFNwHrKsYYli9fjpEjRyIoKAjXrl1TSevrTePHj8eiRYtw8eJF8Hg8lV+f6AYTExPMmDEDfD4fZ8+eRfv27XH79m1th0XURK1JrKSkBB07dsTGjRvlKv/o0SMMGTIEffr0QWJiIhYuXIjPP/8cBw4cUGeYOq3q4sHt2rWT2sSLB8+aNQu9evXCwIEDsWnTJly/fh0PHz7Evn374Ovri9TUVJXGlJOTg5kzZ6p0bOn27dtYunQp9u3bp9BCqYowMjLC0qVL4eDgoJbrE93TsmVL8Pl89OjRA0ePHlXJNU+dOoVNmzap5FpEBdQ+zeRfkOM5O/PmzWNeXl5S+z7++GPWo0cPuesxtNmJ8i4e/Pr1a7Zq1SrWvn17ZmpqymxsbFivXr3Yjh07JGsKqoJIJGJ9+vRhAFhAQEC9pqynp6ezmJgYxljlk6gJUYfCwkL29ttvMw6Hw1atWlWvJ0qfPHmSmZqaMgAsMjJShVGSqnRyir08SaxPnz7s888/l9p38OBBxufza5w2+/r1a1ZQUCDZMjMzDSqJ6aJz584xCwuLeiWyc+fOMXt7e9a+fXtKYETtKioq2LfffstcXFyUXjqsagILCQmptqI8UR29nWKfnZ2NZs2aSe1r1qwZhEIhXr58KfOcVatWwcrKSrKp6jHgmjRx4kRwOBzJZmtri6CgIKlpwowxbNu2Db6+vrCwsIC1tTW6du2K9evXa3zKeO/evXH8+HFYWFjg1KlTGDFihEIxhIWFYcCAAfDy8kJMTEy1Z54RompcLhfLli1DcnIymjRpguzsbDx+/Fju80+dOoVhw4bh9evXCAkJwf79+2FiYqLGiIm8dO7b482p4owxmfvFvvrqKxQUFEi2zMxMtceoDkFBQcjKykJWVhZiYmLA5/OlHlw5fvx4zJo1CyNGjEBsbCySkpLw7bffIjIyEidOnNB4vMomsjVr1mDKlCn46KOPcPLkSTRt2lQD0RJSydLSEgDw+eefo1u3brh06VKd51AC03Fqbxf+C2rqTnyTPo6JhYaGshEjRkjtO3v2LAPAnj9/ziIiIhgAdvjw4WrnikQilp+fr6FIq1O0a/HevXts69atGoqOENmys7NZr169mLGxMdu9e3eN5agLUTv0tjvRz88PJ0+elNp34sQJdO3aVe3PztIlxcXF2Lt3L9zd3WFra4u9e/fC09MTI0aMqFaWw+HAyspKC1FWkqdFlpubi6lTp6KgoABt2rTBxx9/rKVoCanUrFkznD59GmPHjsX48ePx66+/VitDLTD9oNYkVlxcLLmvCaicQp+UlISMjAwAlV2BEyZMkJT/5JNPkJ6ejtmzZyMlJQXbt29HWFgY5syZo84wdUJUVBQsLCxgYWEBS0tLHDlyBBEREeByuUhNTYWnp6e2Q6xRbYnsxYsXGDhwIA4dOqS3Xb3EMBkbGyMsLAxffPFFtR/JlMD0iDqbhLGxsQxAtS00NJQxVtmN1q9fP6lz4uLiWOfOnZmxsTFzdXVlW7ZsUahOfe1ODAgIYKmpqSw1NZVdvnyZhYaGMnt7e5aWlsa8vLyqdTfqoje7Fh88eMC8vb2Zvb19jQ+uJESXnDt3jroQdYAi3+Mcxv6dOWEgCgsLYWVlhYKCAjRu3Fjb4chl4sSJyM/Pl1rRpKKiAlZWVpg1axaSk5Nx584d3L17V3tByun8+fMIDg5GcXExzMzM0LhxY8TGxhrUAsXEMJ07dw59+/YFn8+HUCikFpgWKfI9rlNjYuR/OBwOuFwuXr16hQ8//BD37t2T+VRhxpjkace6oGrXYmlpKVq3bg1nZ2dth0X0UIlAiFtPC5CYkYdbTwtQIlDvGogCgUCSwDw9PSmB6Qm+tgMglQQCAbKzswEAeXl52LhxI4qLizFs2DD069cPhw4dwgcffIBvv/0WgwYNQtOmTZGcnIx169Zh5syZePvtt+sdw6tXr7B3715MnjxZ6VXxX7x4gYcPH+L48eMIDg7GP//8gxEjRiAyMhJmZmb1jpEYttRnRdh7OQOxd58jI7cUVbuJOACcbczg72mPsb7OaNPMUmX1isfAxAns7t27+OWXXxrEeLy+o+5EHTBx4kTs3LlT8m9LS0t4eXlh/vz5GDVqFABAJBJh27Zt2L59O27dugU+n482bdpgwoQJmDp1qtLP2hJjjGHChAnYs2cPRo0ahR07dsDCwkKha+Tm5mLAgAF49uwZUlJScPPmTUnXYkBAACUyUqPM3FIsPJSMc/dfgsfloEJU89eS+HgfdzusHNkeTjb1+0zJmsSxfPly/PPPPzhx4gT4fPqtr2mKfI9TEiMSv/32G2bMmIHy8nJ4e3vj8OHDcHd3l+vcgoICDBo0CI8ePUJcXBy8vb0BSI+RUSIjsvwRn4HFR25BKGK1Jq838bgc8LkcLB3ujfe7KddlXdMsRMYYysvLYWxsjKKiIslN0kQzaEyMKGXq1Kk4c+YMHBwccOvWLXTr1g3Hjx+v87yysjIMHz4cqampOHnypCSBAfVfoooYto2xqVhwMBkCoUihBAYAFSIGgVCEBQeTsTFW8Sc11DaNnsPhwNjYGJmZmWjTpg3279+v8PWJZlASI1L8/PyQkJCAnj17Ij8/H0OHDsXKlStRW4O9pKQEJiYmOHbsGDp16lTtOCUyIssf8Rn48cQ9lVzrxxP3EBGfIXd5ee8Dc3R0hL+/P0JDQyX3uxLdQt2JRKaysjJ8/vnnkpUMahonEwgEku6XuiaDUNciEcvMLUXAujMQCEW1lit7/giF8ZF4nZGMiuJccLg8GNk4wqxtH1h0HAxeo/9185nwuTj1Zb86x8gUvZG5tLQUffv2xYsXLxAfHw97e3vFXixRGHUnknozNjbG1q1bsW3bNhgZGeHAgQPo0aMH7t+/LykTExMDDw8PPHr0SK7ZjNQiI2ILDyVDWEf3YVFSNLJ2zEJZ1j1Y+b6DZu8tRdN3voaZVy8UJx5Hzl8/S5UXihgWHkqu9ZrKrMRhZmaGw4cPQyAQYNy4cfK9QKIx1BIjdbp48SJGjRqFrKwsWFtb4//+7//g4eGBbt26oVu3bjh27JhCM7ioRdawpT4rwqD1Z2stI3iSguw982Hq1hn273wDDl96WShWUY5XD6/BrI1vtXNPfdkX7vbVJ2LUdympS5cugc/no2vXrnKfQ5RDLTGiUrLGyXr27AlbW1v88ccfCk9Brtoie/r0KUpKStQUOdFFey9ngMetveVecGEfwOHANuizagkMADg8I5kJjMflYM8l2WNjjx8/hkAgUHoljh49eqBr164oKyvD6dOnFTqXqA8lMQVcuHABPB4PQUFB1Y6lpaVJPdjS0tIS3t7emDFjBlJTFZ859eaDMsVb1e687OxszJw5E61atYKJiQmcnJwwbNgwxMTE1HrtsrIyheNxcHBAbGwsPv74YzDG8Pz5c7Ru3Vrppwv07t0bp06dQmxsLD1TrIGJvfu81pmITFSB1xk3YNzcHfzGin02KkQMsfeeyzw2ceJEHD9+vN4rcWzbtg2BgYF1/p0RzaAkpoDt27dj5syZOH/+vGQl/jedOnUKWVlZuH79OlauXImUlBR07NhRqQ981Qdlijc3NzcAlUnTx8cHp0+fxpo1a5CcnIzo6Gj4+/tjxowZNV7z0qVLcHd3x7FjxxSORzxONn/+fPD5fPz999/w8/OTSqyK8PX1pUHyBqZYIERGbu3joKJXhWDlAvCtmtVariYZOaU1LlE1ePDgei8l9cknn2DgwIEYPXo0Hjx4UK9rkfqjJCankpIS7Nu3D59++ilCQkKwY8cOmeVsbW3RvHlztGrVCiNGjMCpU6fg6+uLyZMno6KiQqE6TUxM0Lx5c6mNx+MBAKZPnw4Oh4MrV67g3XffhYeHB7y9vTF79uxan1a7cuVKZGZmIiQkBBMnTkReXp7c8Vy9ehXl5eVYvXo1zp49CwcHB9y8eRPdunVDdHS0Qq+NNEzpOSVQ9yA8A5CWo74uaj6fjz/++AN2dnYYPnw4CgsL1VYXqRslMTlFRETA09MTnp6eGDduHMLDw2u9d0qMy+Xiiy++QHp6OhISElQSS25uLqKjozFjxgyYm5tXO25tbV3juREREZg9ezY4HA527tyJdu3aydUqS0xMRN++fbFu3ToAleNkV69ehZ+fH/Lz8zFkyBCsWrVKrveENFxldUypBwBuo8bgGJlAWPBMrfXUR5MmTRAZGYnHjx/jjz/+UGtdpHaUxOQUFhYmmV4bFBSE4uJiubsIxY8hSUtLU6jOqg/KtLCwwOjRowEA9+/fB2NMqcebNGrUCGvXrsX58+fh4eGBp0+f1tkqe/36NcaOHQsvLy/MnDlTsr9FixaIjY3FtGnTwBjDwoUL8d5776G4uFjhuEjDYMyv+yuHw+XB1KUjyrLvQ1j4Um311Ffbtm2RnJyMadOmqb0uUjNKYnK4e/curly5gvfffx9AZXfCmDFjsH37drnOF7dOFF0Z3t/fX/Jk7KSkJGzYsKFe16uqZ8+eSEpKkqtVtmTJEjx48AC7du2qttCwiYkJfv31V/z6668wMjLC/v376zVORgybq6055PnUWvmNBhhDTvQvYBXl1Y6zCiFKUy/LPJfzbz2a4OzsDMYY9u7di/T0dI3USaRREpNDWFgYhEIhHB0dwefzwefzsWXLFhw8eFCuMaWUlBQAkEzKkJe5uTnc3d0lm4ODAwCgTZs24HA4kusqS55W2Z07d/DDDz9g8eLFaNeuXY3XmjZtmmTdRRonIzUxN+HDWY5V500c28Jm8HS8TktC1o5ZKLp2DK8zkvEqLQkFlw/g6e+fovjGSZnnOtuawdxEcyvPl5aWYuHChZgyZQp1p2sBJbE6CIVC7Nq1C2vXrpVqFV2/fh0uLi7Yu3dvreeLRCJs2LABbm5u6Ny5s0pisrGxweDBg7Fp0yaZ91jl5+crdL3aWmWenp44cOAA5s2bV+d1aJyMyMPf077O+8QAwLJTEBxC18G4mTsKLu3Hs4hv8eLAcpTePgvzt/rDNnhmtXN4XA78PTQ749Xc3By///47Tp06hW3btmm0bkJJrE5RUVHIy8vD5MmT0a5dO6nt3XffRVhYmFT5nJwcZGdn4+HDhzhy5AgCAgJw5coVhIWFSWYWqsLmzZtRUVGB7t2748CBA0hNTUVKSgo2bNgAPz8/ha9XU6ts0qRJ6Nevn9w3NL85ThYVFYXy8urdQaRhYoyheXGq3CvWGzdrBbuQL9Fyejhc5h6G83/2w2HSz7DuMxY8M6tq5StEDON6aP5J4oMGDcLUqVMxZ84chce+Sf1QEqtDWFgYAgICYGVV/Q9m1KhRSEpKwrVr1yT7AgIC4ODggPbt22PBggVo27Ytbty4AX9/f0kZ8Y3RcXFxSsfl5uaGa9euwd/fH//5z3/Qrl07DBo0CDExMdiyZYvS1xW3yj788EMAUGgGo5h4nCw8PBz79++HsbGx0vEQw8AYw+HDh9GlSxd8OnYkGhWkQY7GmEJ4XA76uNvJXHJKE3788UfY2Nhg7dq1Wqm/oaK1E7UgLi4OI0eOxMOHD9GkSRNth1PN69ev0aVLFzDGIBKJcO9e5eMyQkNDsW7dOp2MmegmxhgiIyOxdOlSJCUlYcCAAVi8eDHc2nWVaxV7Rci7ir063b9/Hy4uLkqvZEMq0dqJOi46OhoLFy7U2WQgno24f/9+uWcwElJV1ZbXyJEjYWNjgzNnziAmJgZ9+/aFk40Zlg73rvtCClg23FurCQwA3N3dYWRkhGvXrtFsRQ2hlhiRkpCQgO7du2P58uX46quvJPsvXLiASZMmUauM1Kqmllffvn1llt8Ym/rvgzEZINfke9nmBnpihr+70uerklAohKenJ9zc3HDy5Ml63QrTUFFLjCjtrbfewo8//oi5c+dK7VfkvjLS8NTV8qrJZ/5tMN+/JZiwHGCKdS3yuByY8Ln4/p32OpPAAEhuwYmJiaHZihpALTEiUVZWJtckDGqVETFFW16yzh8yZAhuPHyCPrM341JaAXhcTq2zF8XH+7jbYeXI9lrvQqzJ5MmTcfjwYTx8+FDmxDBSM2qJNWBnzpzBkydPFD6voKAA7u7uOHToUJ1la2qVXb9+XZmQiR5StuX1pvDwcERHR2PbT6vwx8e9cXJWX4z3dYGLrVm1zkUOABdbM4z3dcGpL/ti92RfnU1gAPDdd9/h1atX+PHHH7UdimFjBqagoIABYAUFBdoOReNevXrFWrRowYyNjdlnn33GHj9+LPe533zzDTM1NVXoHMYY++eff5iHhwdzdXVlRUVFioZM9IxIJGKHDh1inTp1YgDYgAED2JkzZ5S6VmZmJmvcuDELDQ2Vebz4dTm7+SSfXUvPZTef5LPi1+X1iFw7jhw5wrKzs7Udht5R5HuckpgBSU9PZ3369GGoHCWXO5llZ2czMzMzNn/+fKXqLS0tZSkpKUqdS/SDKpOX+HpBQUGsRYsWLC8vT3WB6iiBQKDtEPQKJbEGmsQYq/xyiImJUSiZzZgxg1lbW7Pc3FwNR0t0naqTl1hYWBgDwKKiolQQpW6Lj49nzZs3Z6mpqdoORW9QEmvASUxM3mQmEonYO++8w1avXq3FaImuUVfyYqzubkRDU1payhwdHdn777+v7VD0BiUxSmISiiQzovvUPU6kzuQlvn5D6kYU++233xgAlpCQoO1Q9AIlMUpi1chKZkZGRiw4OJhlZmZqOzxSi3vZhWxx5E3Wd81p5rogirlU2VwXRLG+a06zxZE32b3sQqXrUHfyEmtI3YhVlZeXMy8vLzZ48GBth8IYYyw0NFTyPcDn85m9vT0LCAhgYWFhrKKiQlLOxcVFUq7qtmrVKrXGp8j3OE2xbyA4HA4GDBggmQbdp08flJeX4/jx42jdujVmzpyp1NR8oj6ZuaUYH3YZg9afxe7L6UjPLcWbd08xAOm5pdh9OR2D1p/F+LDLyMwtlbsOpqKp8vJ4/PgxvvzyS4SGhmLo0KEqvbau4/P5WLFiBfLz81FUVKTtcABUPqE+KysLaWlpOH78OPz9/fHFF18gJCQEQqFQUm7ZsmXIysqS2qo+4V3bKIk1MOJktnTpUgCVj1gvKyvDxo0b0apVK0pmOuKP+AwErDuDCw9zAKDOR5eIj194mIOAdWfwR3xGreU1mbzE9U2dOhUWFhZYv369yq+vD0aOHImLFy/C0lI7q+y/ycTEBM2bN4ejoyO6dOmChQsXIjIyEsePH8eOHTsk5SwtLdG8eXOpzdxcM0/OlgclsQbq22+/RdeuXXHz5k1Jy4ySmW7YGJuKBQeTIRCK5H7ulliFiEEgFGHBwWRsjE2tdlzTyUtMclPztm2wtrZWWz26jMPhgMPh4Pz58zh//ry2w5FpwIAB6NixIw4ePKjtUORGSawBSkhIwD///INvvvkGXC63WjcjJTPt+SM+498FcevvxxP3EPFvi0xbyQto2N2IssyfPx9LlizRdhg18vLyknqw5/z582FhYSG11edZiKqmkSS2efNmuLm5wdTUFD4+Pjh37lyNZePi4iS/WKpud+7c0USoDYKnpye2b9+OkJAQyT5ZY2aUzDQrM7cUi4/cqra/+MYppK8O+d/2w0hk/jIO2f/3FQou7kNFSX6N11x05BbC/tBO8gKoG1GWGTNmICYmRme/0xhjUivvz507F0lJSVKbr6+vFiOUpvYkFhERgVmzZuHrr79GYmIi+vTpg+DgYGRk1N5nf/fuXamBxDZt2qg71AbDwsICkyZNAo/Hq3asrmR26tQpLUTcMCw8lAxhLd2HtkNmofn4H9Hs/e9gM+hTGNu3QsGlA3j626d4lZYk8xxBWTkWHk7WePISo27E6kaNGoWmTZti69at2g5FppSUFLi5uUn+bWdnB3d3d6mtUaNGWoxQmtqT2E8//YTJkydjypQpaNu2LdavXw8nJyds2bKl1vPs7e2lBhJlfeESxW3ZsgWffvopWB0PL5CVzBo3bgw/Pz8NRdqwpD4rwrn7L2sdAzNq6gITRy+YOrWDuVcv2ARMRYuPfgHH2BQvDq5ARUle9ZO4PDRy64Jf/3tYo8kLoG7EmpiYmGDKlCnYsWMHSkpKtB2OlNOnTyM5ORmjRo3SdihyU2sSKysrQ0JCAgIDA6X2BwYG4sKFC7We27lzZzg4OGDgwIGIjY2tsZxAIEBhYaHURmQTiURYt24d8vPz5X5QX9VklpSUpFOzkgzJ3ssZ4HEVf3gi38oeTQZMBit7haLEaJlleFwO9lyqvedD1agbsXYff/wx5syZg4qKCq3FIBAIkJ2djSdPnuDatWtYuXIlRowYgZCQEEyYMEFSrqioCNnZ2VKbLn3PqjWJvXz5EhUVFWjWrJnU/mbNmiE7O1vmOQ4ODti2bRsOHDiAgwcPwtPTEwMHDsTZs2dlll+1ahWsrKwkm5OTk8pfh6E4ffo0UlNTMX36dIXP5XA4cHR0VENUBABi7z5XeCaiWKNWXQEOF4LMmzKPV4gYYu89r094CqNuxNq5uLjgm2++0eozD6Ojo+Hg4ABXV1cEBQUhNjYWGzZsQGRkpFTP16JFi+Dg4CC1zZs3T2txv4mviUre/NX/5sBhVZ6envD09JT828/PD5mZmfjxxx9ldod89dVXmD17tuTfhYWFlMhqsHnzZrRv3x69e/fWdiikimKBEBkK3KD8Jq6xKbhmjVFRnFtjmYycUpQIhDA3Uf+fPHUjyqe0tBTfffcdRo4cie7du2u07h07dkjdC1aTqrMUdZVaW2J2dnbg8XjVWl3Pnz+v1jqrTY8ePZCaWv2eF6Cyf7lx48ZSG6kuJycHUVFRmD59utxdiUQz0nNKqq3EobA6LsAApOWof/yFuhHlZ2pqin379uGXX37Rdih6Ta1JzNjYGD4+Pjh58qTU/pMnT6Jnz55yXycxMREODg6qDk8p2dnZmDlzJlq1agUTExM4OTlh2LBhiImJAQC4urrKvEVg9erVWo3b1tYWKSkpGDdunFbjINWVCUX1Ol9U9hqiV4XgWdiotR557Nixg7oR5cTlcvHpp59i3759ePHihdzn5efnY9euXQgLC1NjdPpD7X0Ls2fPxvjx49G1a1f4+flh27ZtyMjIwCeffAKgsjvwyZMn2LVrFwBg/fr1cHV1hbe3N8rKyrBnzx4cOHAABw4cUHeodUpLS0OvXr1gbW2NNWvWoEOHDigvL8fff/+NGTNmSO77WLZsGaZOnSp1rjaXmhEKheBwOGjdurXWYiA1M+bX77fkqwfxABPBxLm9Wuupy+PHjzFr1izqRlTApEmT8M0332D79u2YP39+jeXy8/Nx5MgR/Pnnn/j7779RXl4OR0dHTJo0CVxuw16zQu1JbMyYMcjJyZEsItmuXTv89ddfcHFxAQBkZWVJ3TNWVlaGOXPm4MmTJ2jUqBG8vb1x7NgxDBkyRN2h1kncFXflyhWpWXre3t746KOPJP8WrzWmKw4ePIh58+YhKSmJfh3rIFdbc3BQZ4+gTMKC58iL3Q6OiTksOwfXWI7zbz3qUrUbcd26dWqrx9DY2tri/fffx9atWzF37lyphCQrcYm99dZbGD16NAQCgU7ds6UNGpnYMX369BpnxL05uDhv3jydmvkilpubi+joaKxYsULmNHNdTg779+9H06ZNdTrGhszchA9nGzOk1zG5o/xFOiCqABNVQFRagNeZt1CcfAocDhf273wNnplVjec625qpdVKHuBsxKioKTZo0UVs9huibb77BJ598Ag6HI1fiGj16NLy9vbUYsW7RSBIzBPfv3wdjDF5eXnWWnT9/Pr755hupfVFRUejfv7+aoqtZWVkZoqOjdfKHAfkff0977L6cXus0+5y/1lf+B48ProkFjGxbwqrHKFh0HFxrAuNxOfD3sFdxxP9D3Yj1Y2dnhwsXLmDFihWUuJRASUxO4hUu5JnZN3fuXEycOFFqn7busTpz5gyKioowfPhwrdRP5DPW1xk7LqbJPGbRIQAWHQKUvnaFiGFcD2elz68NdSMqh1pcqkNJTE5t2rQBh8NBSkoK3n777VrLitca0wWxsbFwdnZG+/a1D/oT7WrTzBJ93O1w4WGO0jc9y8LjctCzlS3c7dUzsYi6EeVXW+Jq2bIlHj9+jBMnTmDQoEFajFL/NOxpLQqwsbHB4MGDsWnTJpnrneXn52s+KDmsWLECly5donvD9MDKke3BV2LpqdrwuRysHKmeHzDUjVg38XT4YcOGwd7eHqGhoYiKikJ5eTneeustLF68GDdv3sTNmzfB5/Nx755qHsPTkFBLTAGbN29Gz5490b17dyxbtgwdOnSAUCjEyZMnsWXLFqSkpAD431pjVZmZmWn8RmyRSAQul6sz99iR2jnZmGHpcG8sOJissmsuG+4NJxszlV1PjLoRa3fgwAHs2LFDoa7C/v3748iRI5gxY4amw9Vr1BJTgJubG65duwZ/f3/85z//Qbt27TBo0CDExMRIrcqvK2uNrVy5EgMGDKhzxXqiO97v5ow5gR4qudbcQE+M6aaesbCqNzVTN2J1x48fl9niunXrFpYsWSJzrGv48OGIjY3VqcV19QGHGdg3XGFhIaysrFBQUGAwS1C9fv0aixcvRr9+/dC7d2+5X1e3bt3g5uaGffv2qTlComp/xGdg8ZFbEIqYQmNkPC4HfC4Hy4Z7qy2BPX78GN7e3hg5cqRc6+81RBcuXMCJEycUmpyRlZWF+Ph4DB48GCYmJmqOULcp8j1OSUwPxMXFwd/fH0DlUjU+Pj7o378/+vfvX2NSe/r0KRwdHbF7925aakpPZeaWYuGhZJy7/xI8LqfWZCY+3sfdDitHtldLFyJQ2Y04ZMgQ3LhxAzdv3qRWGFELRb7HaUxMDzRp0gRTpkxBXFwc7t+/j/j4eMTHx+OHH36oMalFRUWBx+PpxEonRDlONmbYPdkXqc+KsPdyBmLvPUdGTqnUyh4cVN7I7O9hj3E9nNU2C1GMZiOq17Vr1/DTTz9hx44d4PPp61ke1BLTM48fP8aZM2cQFxcnSWpViZNaQUEBjI2N8c8//xjk+9BQlQiEiP4nAR+Om4D/27MLQb18NPJ4FYC6ETUhPj4e3bt3x5kzZzT+JG5dQt2JBpzE3iRvUqur+5Hoj2vXrsHHxwcJCQno0qWLRuqkbkTNEIlEcHBwwJQpU7BixQpth6M11J3YgLRs2RJjx47F2LFjAchOavJ0PxJSG+pG1AwulwtfX19cvXpV26HoDZpib2BatmwJHo+H9PR03LlzB5mZmdizZw+mTJkCd3d3iEQiSUIbOnQomjRpgu7du2PevHmIjo7WdvhEB9FNzZolbmUbWCeZ2lBLzACdO3cOjx8/Bo/HU6ildvr0aQQFBWk5eqJLJDc1W9vikwXLkZiRB2M+F6625hobi2toRo4ciZYtW6KiooImd8iB3iEDlJCQAB8fH5nHaktqnp6emgyT6LjUZ0X4ekc0bri8A6NOLfD+zuuSYxwAzjZm8Pe0x1hfZ7Rppr2HvhqaDh06oEOHDtoOQ29QEjMw5eXlSEpKwvvvvy9X+TeTGiFV709jIhMYNWlRrQwDkJ5bit2X07HjYpra709raI4ePUq3yMiJxsQMzO3btyEQCGpsiRFSmz/iMxCw7gwuPMwBAHC4vFrLi2/AvvAwBwHrzuCP+IxayxP5/Pbbb1i/fr22w9ALlMQMjJubGw4fPqyxqdfEcGyMTcWCg8kQCEUKPw6mQsQgEIqw4GAyNsamqinChoMmd8iPuhMNTOPGjTFixAhth0H0zB/xGfjxhOzHgBTfOPW/p0q/oXH3kWgyYLLUvh9P3ENTCxO1rd3YEPj4+CA3Nxfp6elwdXXVdjg6jZKYgVm6dCn8/PwQGBio7VCInsjMLcXiI7fqLGc7ZBaMbFtK7eNZ2Mgsu+jILfRsbUdjZEoSDwckJCRQEqsDdScakPLycqxatQq3b9/WdihEjyw8lAyhHN2HRk1dYOLoJbXxrexllhWKGBYeUt1z0RoaBwcHTJgwgW4slwO1xAwITeogikp9VoRz91+q/LoVIoZz91/i/vMitS9KbKh27typ7RD0ArXEDIi4BUb3mBB57b2cAR6XI19hJgITVUhtteFxOdhziWYrKis3NxcJCQnaDkPnUUvMgDx9+hQWFhawsrLSdihET8TefS73TMTsXf+pts95XmSN0/ArRAyx955jCeR7KCSRFhERgc8//xwCgQBcLrU3akJJzIB07twZ8+bN03YYRE8UC4TIyC2Vu7xtyGwY2TpJ7avrPrKMnFKUCIS0RJUSHBwcIBQK8fLlS9jbyx57JJTEDMqAAQMwYMAAbYdB9ER6TgkUuQvJyNYJJg5tFKqDAUjLKYF3C+odUFSLFpUrpTx9+pSSWC2ojWpALly4gAcPHmg7DKInyoQig6rH0Dg4OAAAsrKytByJbqMkZkAmTZqEzZs3azsMoifyc1Q/K1EWYz59zSijefPmaNy4MYqKirQdik6j7kQDkpWVJfn1RkhtGGP4/ts5YO2mgsORc3aiEjgAXG3N1XZ9Q2ZkZISCggJth6Hz6CeSgSguLkZRUZGkH52Q2uzYsQN/HzuCpo3Ul8AAwNnWjCZ1ELWiT5eBEPebU0uM1KXqk5pdO7ti9+X0WqfZW3QIgEWHAIXr4XE58PegCQn1MX36dLx69Qrh4eHaDkVnUUvMQJSUlKBVq1ZwdHTUdihEhzHGMG3aNFhYWGDdunUY6+us8Ir18qoQMYzrQYsA14dAIEBKSoq2w9Bp1BIzEJ06daKZiaROO3bswPHjxxEVFYUmTZqgCYA+7na48DBHpcmMx+WgZytbWnKqnhwcHHDy5Elth6HTqCVGSANRtRtx6NChkv0rR7YHX96lp+TE53KwcmR7lV6zIXJwcEBWVhZEIrpNoSaUxAzEokWL0L17d22HQXTUm92IVTnZmGHpcNUuDbVsuDc9hkUF7O3tIRQKaZZiLQw+iU2cOBEcDkey2draIigoCDdu3JAqV7WMubk52rRpg4kTJyq1AOeSJUukrifevLy8JGX69+8vs4xQKFTqdb569Yo+6KRG4m7Ebdu2yXy8x/vdnDEn0EMldc0N9KQHYqpI//79ERsbCwsLC6XObwjffxpJYps3b4abmxtMTU3h4+ODc+fO1Vr+zJkz8PHxgampKVq1aoWtW7fWq/6goCBkZWUhKysLMTEx4PP5CAkJqVYuPDwcWVlZuHXrFjZt2oTi4mL4+vpi165dCtfp7e0tqVO8nT9/XqrM1KlTq5Xh85UbphQKhUqfSwxbTd2Ib/rMvw1Wv9MeJnyu/Cvb/4vH5cCEz8X377THDH/3+oZM/tW0aVP0798fRkZGSl/D0L//1P6tFxERgVmzZmHz5s3o1asXfv31VwQHB+P27dtwdq7+a+3Ro0cYMmQIpk6dij179uCff/7B9OnT0bRpU4waNUqpGExMTNC8eXMAlXfBz58/H3379sWLFy/QtGlTSTlra2tJOVdXVwQGBiI0NBSfffYZhg0bptAD6vh8vuRaNTEzM6uzjLwoiRFZautGlOX9bs7o1doOCw8l49z9l+BxObVO+BAf79nKFitHtqcuRBW7f/8+wsLCMG/ePKUfkGno339q/9b76aefMHnyZEyZMgUAsH79evz999/YsmULVq1aVa381q1b4ezsjPXr1wMA2rZti6tXr+LHH39UOolVVVxcjL1798Ld3R22trZ1lv/yyy+xa9cunDx5Eu+9916965cHYwylpfKvLg4ApaWl4HA4KCkpUeg8MzMzta7YQLTrzdmI8nCyMcPuyb5IfVaEvZczEHvvOTJySqUWC+ag8kZmfw97jOvhTLMQ5aDM3/Xdu3exevVqjB07FsbGxgqda2ZW/QeFPnz/KYypkUAgYDwejx08eFBq/+eff8769u0r85w+ffqwzz//XGrfwYMHGZ/PZ2VlZdXKv379mhUUFEi2zMxMBoAVFBQwxhgLDQ1lPB6PmZubM3NzcwaAOTg4sISEBKnrAGCHDh2qdv1Xr14xAOz777+X+3UvXryYcblcSZ3ibfLkyZIy/fr1Y0ZGRlLHZ8+ezRhjrLi4mKFyAXC1b8XFxXK/LqIbEhISGIBqn+E3ZWZmssaNG7PQ0NB611n8upztj7nEjB082P6YS6z4dXm9r9nQaPLvWvy3rY/ff4wxVlBQIPU9Xhu1tsRevnyJiooKNGvWTGp/s2bNkJ2dLfOc7OxsmeXFz9V5c0WKVatWYenSpbXG4e/vjy1btgCofFrq5s2bERwcjCtXrsDFxaXWcyv//0Lh1oqnpyeOHDkitc/SUvrX6tixY/H1119L/m1tba1QHYTUhCnYjVgXcxM+3KyNUJZ1D27WRrSUlB4x9O8/jXwS33wDGGO1vimyysvaDwBfffUVZs+eLfl3YWEhnJykH9xnbm4Od/f/DTb7+PjAysoKv/32G5YvX15r7OK75d3c3Got9yZjY2OpOmWxsrKSWcbMzAzFxcUK1bd//348efIEX3zxhULnyepyIPpPmW5Eol7K/F2fP38eQUFBSExMRJs2ij3LTfy3rW/ff4pSaxKzs7MDj8er1up6/vx5tdaWWPPmzWWW5/P5MvtwTUxMYGJiolBcHA4HXC4Xr169qrPs+vXr0bhxYwQEKL52nLLE01wVcenSJcTHx2PhwoVqioroghKBEI/yy2Hs4IFH+eXwlPHUZHlnIxLNUubv2sXFBR999BFatGih8Lm1xaHL33+KUmsSMzY2ho+PD06ePImRI0dK9p88eRIjRoyQeY6fnx+OHj0qte/EiRPo2rWr0tNMBQKBJDHm5eVh48aNKC4uxrBhw6TK5efnIzs7GwKBAPfu3cOvv/6Kw4cPY9euXQo3dYVCYbVkzOFwakze9cXn81FeXq6WaxPtkkywuPscGbmVEywcQn/Cf06+xJyTf8PZxgz+nvYY6+sMd3sLlXYjEu3y8vJCWFhYva5h6N9/au9OnD17NsaPH4+uXbvCz88P27ZtQ0ZGBj755BMAld2BT548kdyL8Mknn2Djxo2YPXs2pk6diosXLyIsLAz//e9/lY4hOjpaMpZmaWkJLy8v/Pnnn+jfv79UuUmTJgEATE1N4ejoiN69e+PKlSvo0qWLVDkOh4Pw8HBMnDixxjpv3bpVbfzOxMQEr1+/Vvp11IbP5yt9ozTRTZm5pXVOdWcA0nNLsftyOnZcTEMrMwHOXbiGw3vDqBvRABQWFuLx48fw8PBQ+hYaQ//+4zDxgJMabd68GWvWrEFWVhbatWuHdevWoW/fvgAq7yhPS0tDXFycpPyZM2fw5Zdf4tatW2jRogXmz58vSXp1KSwshJWVFQoKCtC4cWOVv5a0tDS0adMGt2/fVriPWp3mzZuHyMhI3L17V9uhEBX4Iz4Di4/cglDEFFqYl4kqwOMwrBzVGe+reNWMa9euwcfHBwkJCdW+2Ih6REZG4u2338bz58+l7unSFk19/ynyPa6RiR3Tp0/H9OnTZR7bsWNHtX39+vXDtWvX1ByVcqKjozFt2jSdSmAA0KdPH7UkbaJ5G2NT8eOJe0qdy+HyIAKw4GAyXhYL8Jm/bn1OiWIEAgEA1GvFDlXSxe8/mierIHlbhJo2bNiwan3cRP/8EZ+hdAJ7048n7qGphQmtY6jHnj9/DiMjI1hZWWk7FAC6+f1HScxAFBUV4fr16+jWrZvCszWJbsjMLcXiI7dkHiu+cQo5f62X2sdt1BhGds5o7PsOzNxlP8Fg0ZFb6NnajpaD0lNZWVlwcHCgVXVqYfCr2DcUSUlJ6NOnDx4+fKjtUIiSFh5KhrCO8S/bIbPQfPyPaD7+B9gGfQYOl4sX+5ehNPWyzPJCEcPCQ8nqCJdoQFFREVq2bKntMHQaJTEDIZ4JlJWVpeVIiDJSnxXh3P2XdU7iMGrqAhNHL5g4toWZZ080fXcxwDNCScpZmeUrRAzn7r/E/edF6gibqNmGDRuqrf5OpFESMxDiJPb06VMtR0KUsfdyhsKPPwEADt8YHB4fHC6vxjI8Lgd7LmXUJzyiRdSVWDtKYgbC3NwcjRs3ppaYnoq9+1y+qfRMBCaqAKsQQlj4EnmntoGVC2D+Vr8aT6kQMcTee67CaImmdO/eHTt37tR2GDqNJnYYkLfeegsVFRXaDoMoqFggREaufI/oyN71H+kdPCPYDPoEjVr51HpeRk4pSmQsUUV0V1lZGeLj4+lvug70iTYgFy9e1HYIRAnpOSWQ93Zm25DZMLKtXOBa9KoQpfcuIvfEFjBWgcY+Nd9iwQCk5ZTAu4VuTNUmdRMv29SiRQstR6LbKIkRomVlQpHcZY1snWDi8L8bTRu18oGw4DnyY3fAwtsfXFMLldRDtE88NPDm8k1EGo2JGZA1a9aga9eu2g6DKMiYX78/Q2N7VzChAOW5T9RaD9Es8SQtaonVjj7VBoTP5+POnTvQwHKYRIVcbc1Rn/lnZc8eAQC4ZjV3FXL+rYfoj549e+LIkSMyH0FF/oe6Ew2Io6MjSkpKkJ+fTyuY6xFzEz6cbcyQLsfkjvIX6YCocqC/4lURSu9dwOu0RDTy8IORdfMaz3O2NaNJHXqmWbNmtJScHOhTbUC8vb0BADdu3EC/fjVPuSa6x9/THrsvp9c5zb7q0lMcE3PwrZqhyYApsOxS88MveVwO/D3sVRUq0ZD169ejdevWlMjqQEnMgHh5eaFRo0ZISEigJKZnxvo6Y8fFtBqPW3QIgEUH5Z6uWyFiGNeDFgHWJ4wxrF69GlOmTKEkVgdKYgaEz+fj7Nmz8PDw0HYoREFtmlmij7sdLjzMUej5YXXhcTno2coW7vaWKrsmUb+nT5/i2bNn8PGp/f4/QhM7DE7Xrl3puWJ6auXI9uArsfRUbfhcDlaObK/SaxL1S0hIAACabSwHSmIG5saNGxg5ciSKimjBV33jZGOG2X1Vu2L5suHe9BgWPZSQkICmTZvSCvZyoCRmYLhcLg4fPozExERth0IUlJWVhfWfv4eKxMMquV7emZ14cHKPSq5FNKtbt25YsGABLf4rBxoTMzDiyR1Xr15F3759tR0OkVNWVhYGDBiAoqIixP4yDwn5Jlh85BaEIqbQGBmPywGfy8Gy4d6426gdvv76awDAwoUL1RU6UYOQkBBth6A3KIkZGD6fj06dOkn61Inuk0pgsbFo06YN2gDo1doOCw8l49z9l+BxObUmM/Hxnq1ssXJk+8ouxG6LAIASmRaVlJRg4MCB6NOnD/r374/evXvDyqr29Stzc3Nx5swZDBo0CBYWNS8jRipREjNAPj4+OHnypLbDIHKQlcDEnGzMsHuyL1KfFWHv5QzE3nuOjJxSqcWCOai8kdnfwx7jejhXm4W4aBElMm26cOECLl++jMuXL+PHH38El8uFj48P+vfvL0lqb07EOn/+PN555x2kp6dTEpMDJTEDNH78ePTo0UPbYZA61JbAqmrTzBJLhntjCbxRIhAiLacEZUIRjPlcuNqa17kSByUy7encuTN2796NuLg4xMXF4cGDB4iPj0d8fDx++OEHmUlNPKnDyclJ2+HrB2ZgCgoKGABWUFCg7VAIqdHTp0+Zl5cXc3R0ZPfu3dNInUuXLmUA2IoVK5Q6PyEhgQFgCQkJKo6s4cjIyGC7d+9mkydPZq1bt2aofEqOZONyuczKyoq5ubmxY8eONdjvMUW+x6klZqAOHjwIY2NjGiDWQfK2wFSNWmTa5+TkhHHjxmHcuHEAgMzMTJw5c0aqpVZQUICCggIMHTpUru7Hho7DmGEteV5YWAgrKysUFBQ06P/Zb7/9NnJycnDu3Dlth0Kq0FYCq2rZsmVYvHgxVqxYoVAiu3btGnx8fJCQkIAuXbqoMcKGKykpCePHj4ebmxtu376NBw8eSB1vKElNke9xaokZqOHDh2Pq1Kl48eIFmjZtqu1wCHQjgQHKtchKBEI8yi+HsYMHHuWXw1MgpFXx1aBTp05ITk6W/FtWS03WmFpAQABWrFjRIO8ro5aYgXr27BkcHBwQHh6O0NBQbYfT4OlKAquqrhaZZFbk3efIyJUxK9LGDP6e9hjr64w2zWhtRlW4cOECunXrBiMjI5nHZSU1AOjRowcuXryoyVDVSpHvcUpiBszPzw8tWrTAgQMH5Cqfn5+PI0eO4NKlS9i8ebOao2s4dDGBiclKZJm5pQrfn9bH3e5/96cRpTx48ADu7u44cOAA3nnnHbnOefz4Mc6cOYNGjRrJfU5NsrOzsWLFChw7dgxPnjyBvb09OnXqhFmzZmHgwIFwdXVFenp6tfNWrVqFBQsW1KvuN1F3IgEAfPnll3WuoShOXH/++SdOnDiBsrIyAMCMGTMkzycjytPlBAZU71psNWicZKUQAHWuFiI+fuFhDgLWncHS4d54vxs99kUZR48ehbGxMQIDA+U+p2XLlhg7dmy9605LS0OvXr1gbW2NNWvWoEOHDigvL8fff/+NGTNm4M6dOwAqf/RMnTpV6lxLS+22wimJGbD33ntP5v6aEhcAvPXWWxg9ejQ9GVoFdD2BiYkT2fdR19GkqKNS16j4d3msBQeT8bJYgM/8dfO16rIjR45g4MCBWrnBefr06eBwOLhy5QrMzc0l+729vfHRRx9J/m1paYnmzWt+grg2UBIzcBcuXMCTJ08waNCgOhPX6NGjqfWlIvqSwMQ8gieiyavkugvK4ccT99DUwgRjqEUmt7y8PJw9exYbN27UeN25ubmIjo7GihUrpBKYmLW1tcZjUgQlMQNWUFCApUuX4uzZsxCJRJS4NETfElhmbikWH7kl81jxjVPI+Wt9jec2+2AlTF06VNu/6Mgt9GxtR2Nkcnr8+DHatWunlfs679+/D8YYvLy86iw7f/58fPPNN1L7oqKi0L9/fzVFVzdKYgamoKAAR44cwb59+6jFpQX6lsAAYOGhZMkYWE1sh8yCkW31Z1sZ2clubQlFDAsPJWP3ZF+VxGjo2rdvj6SkJK3ULZ7bJ8/0/Llz52LixIlS+xwdHdURltwoiRmA2hJX27Zt8fDhQ0yePBmbNm3SYpSGTx8TWOqzIpy7/7LOckZNXWDiIP/rqRAxnLv/EvefF1VblJhIKysrw7179+Dt7a2V+7zatGkDDoeDlJQUvP3227WWtbOzg7u7u2YCkxM9FFNPFRQUYPfu3Rg2bBjs7e0xYcIEREVFoaysDG+99RYWL16Mmzdv4vbt23jnnXcM6h4SXaSPCQwA9l7OAI+rni9OHpeDPZcy1HJtQ3L27Fm0b98eN27c0Er9NjY2GDx4MDZt2oSSkpJqx/Pz8zUflAKoJaZnzpw5gx9//FGhrsKJEyfi0qVLqKioAI/H03TIBk9fExgAxN59Lt9DN5kITFRRbTeHW/PnqULEEHvvOZaAuq5rEx4eDnd3d3ToUH1sUVM2b96Mnj17onv37li2bBk6dOgAoVCIkydPYsuWLUhJSQEAFBUVITs7W+pcMzMzrd6TS0lMz2RnZyMqKgqA/GNcgYGBCt17QuSnzwmsWCBERm6pXGWzd/2n+k4OFy7zj9R6XkZOKUpoiaoaPX/+HH/++SdWr16t1SWj3NzccO3aNaxYsQL/+c9/kJWVhaZNm8LHxwdbtmyRlFu0aJHklgyxjz/+GFu3btV0yBJq/WTl5eXh888/x5EjlR/04cOH45dffql1yubEiROxc+dOqX2+vr64dOmSOkPVG0OHDsXixYsVnpzx8uVL/Pzzz5gzZ06dT5Yl8tHnBAYA6TklkHe5HtuQ2TCyfeP5VnJ86TIAaTkl8G5BnzlZwsLCwOPxqk2W0AYHBwds3Lixxmn+aWlpmg1ITmodE/vwww+RlJSE6OhoREdHS1ZorktQUBCysrIk219//aXOMJUyceJEcDgccDgcGBkZoVmzZhg0aBC2b98OkUgkKefq6iopV3VbvXq1UvVaWFhgyZIlCs8uLC8vx+rVq7Fr1y6l6iXS9D2BAUCZUFR3oX8Z2TrBxKGN9NZcvgF+ReppaPh8PqZPnw4bGxtth6K31NYSS0lJQXR0NC5dugRf38pptr/99hv8/Pxw9+5deHp61niuiYmJzt0VLktQUBDCw8NRUVGBZ8+eITo6Gl988QX279+PI0eOgM+vfHt1YakWBwcHvPPOO9i8eTM+++yzBrnataoYQgIDAGO+ZuZ1aaoefTR37lxth6D31PbpunjxIqysrCQJDKhcadnKygoXLlyo9dy4uDjY29vDw8MDU6dOxfPnz2ssKxAIUFhYKLVpijjZOjo6okuXLli4cCEiIyNx/Phx7NixQ1JOvFRL1U3WnfHqNn36dNy5cwdxcXEar9tQGEoCAwBXW3Oo+6cM5996SHV//PEHXrx4oe0w9J7aklh2djbs7e2r7be3t682u6Wq4OBg7N27F6dPn8batWsRHx+PAQMGQCAQyCy/atUqWFlZSTYnJyeZ5TRlwIAB6NixIw4ePKjVOGTp27cv3nrrLVqhXkmGlMAAwNyED2c5V9Qof5EOwZM71baK0oJaz3O2NTPoSR2vXr3CkydPFD7vwYMH+OCDD3Ds2DE1RNWwKJzElixZInOMp+p29epVALLvAGeM1dqVNWbMGAwdOhTt2rXDsGHDcPz4cdy7d6/G/9lfffWV5HHeBQUFyMzMVPQlqZyXl5fUIOj8+fNhYWEhtWmjNcThcLB+/Xr85z8yZpqRWhlaAhPz97SX6z6xnL/WI3v3nGpbaWrNE654XA78Par/kDUkv/76K1q1aoWZM2cqlMy2bt2KJk2aYMyYMWqMrmFQ+CfSZ599hvfff7/WMq6urrhx4waePXtW7diLFy/QrFkzuetzcHCAi4sLUlNTZR43MTGBiYmJ3NfThDcTtS4t1TJo0CCt1KvPDDWBAcBYX2fsuJhW43GLDgGw6BCg1LUrRAzjehj2IsAXLlxAWVkZNm7ciG3btmHatGlYsGBBrX/fr169wvbt2/HRRx+hUaNGGozWMCncErOzs4OXl1etm6mpKfz8/FBQUIArV65Izr18+TIKCgrQs2dPuevLyclBZmYmHBwcFA1Va1JSUuDm5ib5t3iplqqbNj+8Fy5cQEhICMrLy7UWg74w5AQGAG2aWaKPu53KV+3gcTno425n8EtORUREICYmBn369JEks7paZvv27UNubi4++eQTDUdrmNQ2Jta2bVsEBQVh6tSpuHTpEi5duoSpU6ciJCREamail5cXDh06BAAoLi7GnDlzcPHiRaSlpSEuLg7Dhg2DnZ0dRo4cqa5QVer06dNITk7GqFGjtB1KjSwsLHDs2DFERkZqOxSdZugJTGzlyPbgqziJ8bkcrBzZXqXX1EUcDgcDBgzAmTNn5E5mXl5eWLZsmc6tQaiv1Dr3de/evWjfvr1kxYgOHTpg9+7dUmXu3r2LgoLKwWEej4fk5GSMGDECHh4eCA0NhYeHBy5evKj1p4fKIhAIkJ2djSdPnuDatWtYuXIlRowYgZCQEEyYMEFSTrxUS9VNk7Mo39ShQwf0798fy5cvl7qnjfxPQ0lgAOBkY4alw1W7NNSy4d4N6jEsiiQzX19ffPvtt1qO2HBwmHgdfgNRWFgIKysrFBQUqHU9r6ori/D5fDRp0gQdO3bEhx9+iNDQUHC5lb8PXF1dkZ6eXu18bS/VcuHCBfTq1Qt79+7Fhx9+qLU4dFFDSmBVbYxNxY8n7tX7OnMDPTHDv2G3MhhjiI2NxZIlS3Du3DkAgLGxMdzc3LBmzRoMHz5cyxHqNkW+xymJNWAjRoxAQUEB3TdWRUNNYGJ/xGdg8ZFbEIqYfAsD/4vH5YDP5WDZcG96onMVspKZkZERPv744zongDRklMQoicnl2bNnsLKygqmpqbZD0QkNPYGJZeaWYuGhZJy7/xI8LqfWZCY+3sfdDitHtm9QXYiKEAgEcHNzg0AgQG5uLoDKlpk8sxkbIkpilMQU8vDhQ9jb28PCwkLboWgNJbDqUp8VYe/lDMTee46MnFKpxYI5qLyR2d/DHuN6OBv8LMT6Ei/3lpSUhJcvX1brZqRkJo2SGCUxuRUWFqJly5aYO3dugx1spgRWtxKBEGk5JSgTimDM58LV1tygV+JQJcYYunTpgg4dOkjG0WsaM6NkVomSGCUxhcyePRu///47Hj58CDs7O22Ho1GUwIgmFBcX4/Xr19X+viiZyabI9zgtL02wcOFCAMDKlSu1HIlmUQIj8mCM1bloeU3y8vLw5MkTWFhYyPyBWNfU/KVLl9Y3fINHSYzAzs4Oc+fOxaZNm2TeDqDrSgRC3HpagMSMPNx6WoASgbDOcyiBEXlt27YNvXr1wqRJk5Cfn6/QuStWrICPj0+NC5iL1ZTM6AG2daNObQIA+PLLL5GZmSm5v03XSSYd3H2OjFwZkw5szODvaY+xvs5o00x60gElMKKIp0+fgsPhYMeOHThx4gR+++03DBkypM7zMjIysHHjRixcuFDu9V3Fyczf3x9xcXHo0aNHfcM3eDQmRvRKfad/UwIjyrhw4QImTZqEe/cqbwafOHEi1q1bB2tr6xrPGTduHE6cOIEHDx7o5IpDuozGxIjSYmJiMHjwYJSVlWk7lGr+iM9AwLozuPAwBwDqvBlXfPzCwxwErDuDX08mUwIjSunZsyeSkpIwe/ZsSavM29sbf/31l8zyR48exd69e7FmzRpKYGpGSYxIsbW1xenTp7FixQpthyJlY2wqFhxMhkAoUmglCaAymQmEIqw6nYFil96UwIhSGjVqhLVr1+L8+fPw8PDA06dPMXToUJljZW+99Ra+/vprhIaGaifYBoSSGJHSqVMnfP3111i5ciUSExO1HQ6AyhaYKtb0AwBe57dxLV+3nj9H9EtdrTKBQIDWrVtj+fLltT4AWF4XLlwAj8dDUFBQtWNpaWlSDyS2tLSEt7c3ZsyYUeMzGGszceJEmQ86vn//vqRMdnY2Zs6ciVatWsHExAROTk4YNmwYYmJi6vU6lUVjYqSasrIydO/eHYwxxMfHw9jYWGuxZOaWImDdGQiEta+2X3j1CPJObYORnTNaTNlca1kTPhenvuxHSySRentzrGzgwIG4f/8+Ll26hObNm6ukjilTpsDCwgK///47bt++DWfn/61NmZaWBjc3N5w6dQre3t4oLS1FcnIyfv75Z1y6dAlHjx7FwIED5a5r4sSJePbsGcLDw6X2N23aFDweD2lpaejVqxesra2xdOlSdOjQAeXl5fj777+xbds23LlzRyWvmcbESL0YGxtjx44dYIzh6dOnWo1l4aFkCOXoPiy+cRIAUP4yA4Knd2stKxQxLDyUrJL4iGH57bffpFoddXmzVRYTE4Ps7GwkJCSoJJ6SkhLs27cPn376KUJCQrBjxw6Z5WxtbdG8eXO0atUKI0aMwKlTp+Dr64vJkyejoqJCoTpNTEzQvHlzqY3H4wEApk+fDg6HgytXruDdd9+Fh4cHvL29MXv2bFy6dKm+L1cplMSITJ06dUJSUhJcXV21FkPqsyKcu/+yzjEwQVYqyp8/QqPW3QAAxddP1Fq+QsRw7v5L3H9epLJYif47fvw4Pv74Y3Tr1g3Hjx+X+zzxWFlgYCC4XC4EAgFCQkKUuq/sTREREfD09ISnpyfGjRuH8PBwyNN5xuVy8cUXXyA9PV1lCTU3NxfR0dGYMWMGzM3Nqx2vbaamOlESIzXicrm4e/cuJk2apJXZinsvZ4AnxxOHi29UJi3r/qEwcWyLkpSzEJW/rvUcHpeDPZcyVBInMQwdO3ZEjx49kJ+fj6FDh2LlypVyJQygcjbi33//jS1btsg9g1EeYWFhGDduHAAgKCgIxcXFco89eXl5AajsclREVFQULCwsJNvo0aMBAPfv3wdjTHJdXUFJjNTq1atX2LNnj1ZmK8befV5nK0xULkDJ7bMwdmgD46auMO8wCKzsFUrv/FPreRUihth7z1UZLtFzLVq0QGxsLKZNmwbGGL7++muMHj0axcXFdZ5rYWGBqVOnYurUqXLPYKzL3bt3ceXKFbz//vsAKh++O2bMGGzfvl2u88UJWNHJJf7+/khKSpJsGzZsqNf11I2SGKlVp06d8M0332h8tmKxQIiM3NI6y5Xe/QdMUAKLDoEAAPO2fcAxblRnlyIAZOSUyrVEFWk4TExM8Ouvv+LXX3+FkZERDhw4gB49etQ6TsYYg7+/P7Zt2yb5glf0vjJZwsLCIBQK4ejoCD6fDz6fjy1btuDgwYPIy8ur8/yUlBQAgJubm9x1AoC5uTnc3d0lm4ODAwCgTZs24HA4kuvqCkpipE5fffUVvL29MX78eJSUlGikzvScEsjTkVN8/QQ4fBOYt+0LAOAaN4KZZy8IHt9Cee6TWs9lANJyNPN6iH6ZNm0azpw5AwcHB9y6davGcbL9+/dj8ODBMltritxX9iahUIhdu3Zh7dq1Uq2i69evw8XFBXv37q31fJFIhA0bNsDNzQ2dO3dW6LXXxMbGBoMHD8amTZtkfg/Ud/xPWZTESJ2MjY2xd+9e5ObmIjlZM7P6yuqYUg8A5XlPIci8hUatuwJgEL0uhuh1Mcy9egH434zF+tZDGiY/Pz9cvXoVfn5+MsfJrl+/jtDQUDRp0kTmRAcxZVplUVFRyMvLw+TJk9GuXTup7d1330VYWJhU+ZycHGRnZ+Phw4c4cuQIAgICcOXKFYSFhUlmFqrC5s2bUVFRge7du+PAgQNITU1FSkoKNmzYAD8/P5XVowi6T4zI7fXr1zA1NdVIXbeeFmDoL+drLZN3ZicKL/5Z43GehQ0cp4eDw635j/jYzN7wbkErhZOaCQQCfP7559i2bRsAYNSoUfjhhx/g7+8PGxsbnDt3rtYkVtWb95XFxcWhX79+1coNGzYMIpEIx44dq3bs2rVr8PHxQUJCAmxsbKS6C83MzODi4gJ/f398+eWXcHd3lxwT31MWGxuL/v37y4xv4sSJyM/Px+HDh2t8DVlZWVixYgWioqKQlZWFpk2bwsfHB19++WWN11UUPRSTkpjaCAQCfPTRR3jnnXcwatQotdVTIhCi3ZK/a+xSZKIKPNk8CRy+CWyDZ1Y7/upBPAqvHELTdxfBzL27zGtwANxcMpieUEzksm3bNnz22WcoLy+HmZkZTE1NkZiYKHXzsTxevXqFb775Bnfu3EFUVJTGJkrExcVh5MiRePjwIZo0aaKROpVFNzsTtTE2NkZ5eTkmTJiAGzdu1OtaZ86cwZMnssetzE34cK5lRY1XDxNQUZwLi06DYerSodrWuMe7AM+o1gkezrZmlMAamEOHDqG0tO4JQ7JUHScrLS1FWVkZbt26pfB1xGNlR44c0ehMv+joaCxcuFDnE5iiKIkRhXA4HISHh8PDwwPDhw/HixcvlLpOTEwMgoKC0L9/f2RnZ8ss4+9pX+N9YsXXTwA8Piw6DJJ5nGdmBTMPP7x6EI+KkuozuXhcDvw97JWKneinrVu34p133sGIESOUTmTNmzeXjJMVFxcrfD9ZVaocq5LH6tWrMXfuXI3WqQmUxIjCzM3NERkZidLSUrz77rsK3wgdExODkJAQvH79Gl5eXjX+Mhzr61zjfWL2o76By9zD4JnVPJ7VdMQ8uMyLBM+8+vUrRAzjeijWDUT0W7t27WBhYYFTp04plchiY2Ph6emJpKQkpe8nI6pHSYwoxdnZGQcPHkTPnj0V+kVZNYGFhIRg//79NT71tk0zS/Rxt5Nr1Q5F8Lgc9HG3g7s9PeepIenduzeOHz+uVCJ7+PAhRo8ejX79+iEwMFCp+8mIetDEDqIS2dnZda7arUgCE5N3FXtF0Cr2Ddv58+cRHByM4uJiBAQEIDIyEmZmNX8WioqK0LNnT7x69QpXrlyBjY2N1PGLFy9i1KhRyMrKgrW1Nf7v//4PwcHB6n4ZBo0mdhCNOnfuHNzc3HD69OkayyiTwADAycYMS4d7qzJcLBvuTQmsAVO0RbZs2TKkp6fjyJEj1RIYUPf9ZES9KImRevPz80Pfvn0xYsQImY9jUDaBib3fzRlzAj1UEuvcQE+M6UZjYQ2dIolsyZIlOHnyJN56660ar1efdRdJ/VASI/XG5/Nx8OBBdOrUCUFBQbh27ZrkWH0TmNhn/m2w+p32MOFzFR4j43E5MOFz8f077THD373uE0iDUFsiY4xJ7uUyNzeHr69vnddT9zjZm09dtrW1RVBQkNStLowxbNu2Db6+vrCwsIC1tTW6du2K9evXKz0jU9dREiMqYW5ujmPHjsHT0xOfffYZGGMqS2Bi73dzxqkv+6FnK1sAqDOZiY/3bGWLU1/2oxYYqUZWIispKcHs2bOxYsUKxMfHK3zNqveTPXr0SKXJIygoCFlZWcjKykJMTAz4fD5CQkIkx8ePH49Zs2ZhxIgRiI2NRVJSEr799ltERkbixIm6F8XWRzSxg6hUXl4eBAIBbt26pdIE9qbUZ0XYezkDsfeeIyOnVGplDw4qb2T297DHuB7ONAuR1KnqZA9XV1ekpaVh48aNmDFjhtLXfPr0KW7evInAwECVxChrSahz586hb9++eP78OWJjYzFmzBgcPnwYI0aMkDqXMSb5btQHtOwUJTGtqtoC69evH/7++2+VJrA3lQiESMspQZlQBGM+F6625rQSB1HY+fPnMXDgQJSVlaFNmzZISkqqddaipr2ZxIqLizFnzhzExMTg7t27GDlyJO7evYs7d+5oN1AVoNmJRGuqJjBLS0vcunVL7X9U5iZ8eLewQmfnJvBuYUUJjCild+/e+P7772FiYoLU1NR6reyhLlWfumxpaYkjR44gIiICXC4Xqamp8PT01HaIGkdJjKjMm2Ngd+7cgbOzM/z9/XH16lVth0eITCKRCDt37kRFRQVmzZqFU6dO1WtlD3Wq+tTly5cvIzAwEMHBwUhPTwdjTOeeuqwJlMSISsiaxNGiRQvExMTAw8MDgYGBWntoHiE1qaiowLRp0zBp0iScP1/56J/6rOyhblWfuty9e3eEhYWhpKQEv/32Gzw8PHTuqcuaoNYktmLFCvTs2RNmZmawtraW6xzGGJYsWYIWLVqgUaNG6N+/v1IrRRPNqW0WorW1NU6ePIndu3fL/RkgRBNKS0vx4YcfIjw8HLt27ZJ6rpcuJ7KqOBwOuFwuXr16hQ8//BD37t1DZGRktXKMMRQUFGghQvVTaxIrKyvD6NGj8emnn8p9zpo1a/DTTz9h48aNiI+PR/PmzTFo0CAUFRWpMVKiLHmm0VtaWmLo0KEAgK+//ho//PADrWZAtKqgoAB9+/ZFVFQU/vzzT4wbN65aGV1MZAKBANnZ2cjOzkZKSgpmzpyJ4uJiDBs2DO+99x7GjBmDDz74AKtWrcLVq1eRnp6OqKgoBAQEIDY2Vquxqw3TgPDwcGZlZVVnOZFIxJo3b85Wr14t2ff69WtmZWXFtm7dKlddBQUFDAArKChQNlwip1OnTjFTU1MGgIWEhLDXr1/XWl4kErGFCxcyAGzcuHHs1atXGoqUEGkikYjNmTOHJSYm1ln23LlzzMLCggFgAQEBrKSkRP0ByhAaGsoASDZLS0vWrVs3tn//fkmZiooKtmXLFtatWzdmZmbGGjduzHx8fNjPP//MSktLtRK3MhT5HtepJPbgwQMGgF27dk1q//Dhw9mECRNknvP69WtWUFAg2TIzMymJaYCiCayq//u//2Ompqase/fu7MmTJ2qMkhBp4eHh7PDhwwqfpyuJrKFQJInp1MQO8cMRmzVrJrW/WbNmNT44cdWqVbCyspJsTk5Oao+zoavvShwffPABzp8/jydPnmDFihVqjJSQSkKhELNnz8akSZMQFxen8Pma7Fq8cOECeDwegoKCqh0rKyvDmjVr0LFjR5iZmcHOzg69evVCeHg4ysvL1RKPzlM0Qy5evFiqSStri4+PlzpH3pbYP//8wwCwp0+fSu2fMmUKGzx4sMxzqCWmWSKRiPn7+yvVAntTVlaW5BcttciIuuTm5rLAwEDG4/HYL7/8wkQikdLXErfIOBwOi4qKUmGU/zN58mT2xRdfMHNzc5aeni7ZLxAIWP/+/VmTJk3Yxo0bWWJiInvw4AHbu3cv69y5s1xdo/pCkZaYwneFfvbZZ3j//fdrLePq6qroZQFA8jyq7OxsODg4SPY/f/68WutMzMTERK2rQRBpHA4Hhw4dwurVq7FkyZJ6vffi/99PnjxB27Zt8fHHH2P16tUaf2w7MWyTJk3C1atX8ffff2PgwIH1upa4RXb//n3JZCVVKikpwb59+xAfH4/s7Gzs2LEDixYtAgCsX78eZ8+exdWrV9G5c2fJOa1atcLo0aMVfsK6wdBAUlV4Ysf3338v2ScQCGhih4ETiURs/fr1jMvlsqCgIJaXl6ftkIiaVVRUsIiICLZnzx611SHuJbh//z67f/++2upRpbCwMNa1a1fGGGNHjx5lrq6ukpZjhw4dWGBgoDbD0xidGRPLyMhAUlISMjIyUFFRIbnTvOozdry8vHDo0CEAlb/yZ82ahZUrV+LQoUO4efMmJk6cCDMzM3z44YfqDJVoEYfDwRdffIHjx4/j0qVL6NSpEy5fvqztsIga/fnnnxgzZgxmz56t8rGl0tJSzJo1C127dkVxcTFat26N1q1bq7QOdQkLC5NM9w8KCkJxcTFiYmIAAKmpqfDy8tJmeLpJndn0zSmh4i02NlZSBgALDw+X/FskErHFixez5s2bMxMTE9a3b1+WnJwsd53UEtNvDx8+ZEOHDtWbX85EOWVlZczNzY0BYGvXrlXZdc+ePctat27NTE1N2U8//cQqKipUdm11u3PnDuPz+Sw7O1uyb8aMGeyDDz5gjDFmamrKvvjiCy1Fp1k6N8VekyiJGY6ioiI2YMAAdurUKW2HQtQgLCyMAWD29vYqmbK+bNkyxuFwWM+ePdndu3dVEKFmzZ07lwFgPB5PsnG5XGZiYsJyc3OpO7EGOjXFnpCqioqKwBhDQEAAPv30U1q1xcCMHz8ebm5ueP78ObZu3ar0dSoqKgAAHTt2xI8//oizZ8/Cw8NDVWFqhFAoxK5du7B27VrJsEtSUhKuX78OFxcX7N27Fx9++CFOnTqFxMREmeeXlJRoIXIdoP6cqlnUEjMsFRUVbNOmTczc3Jy5uLiwuLg4bYdEVKg+rbHi4mL2+eefs5EjR9Zr2rwuOHToEDM2Nmb5+fnVji1cuJB16tSJvX79mvXp00cyxT4pKYk9ePCARUREsC5dujTYKfbUEiM6jcvlYvr06bhx4wZatWoFgUCg7ZBIFXfu3MF3332H3Nxcpc5XtjV27tw5dOzYEdu2bUOfPn30fi3OsLAwBAQEyHzy8qhRo5CUlIRbt27h5MmTmDdvHn799Vf06NED3bp1w4YNG/D555+jXbt2WohcB6g/p2oWtcQMl/jXtkgkYpMnT2bHjh3T+1/g+q59+/YMANu+fbvS11C0NbZgwQK9HvsidaOWGDFI4gf+FRYW4uHDhxg6dCgGDBhA0/G1aPTo0QAqp8wrS57W2KtXryRT8S0tLbF27Vq9HPsiqkdJjOgdKysrxMTE4MiRI3jx4gV69OiByZMnazusBkmcxE6ePIm8vDylrmFkZIRvvvkGAPD9999L3TcmFAoRFhYGDw8PfP/99wCAhQsX4ssvv6SVXQgASmI6beLEieBwOJLN1tYWQUFBuHHjhlS5qmWqbn/88YfcdS1ZskRyHp/Ph52dHfr27Yv169dXG4fq37+/zPqEQqFKXrc8OBwOhg0bhuvXr2Pnzp3o0aMHACAvLw+PHz/WWBwNnZeXF9q3bw+hUIjDhw8rfZ03W2OMMRw8eBDt27fHlClT0KtXL5nP/KqP2hbaTUtLk/psGxsbw93dHcuXL1d6/O3//u//wOPx8Mknn1Q7FhcXJ/NvSpzc5VH1b5jD4cDKygp9+vTBmTNnpMq5urpWq6dly5ZKvSadoPbOTQ0zpDGx0NBQFhQUxLKyslhWVhZLTExkQ4cOZU5OTlLl8O8N4+Jy4k2R53UtXryYeXt7s6ysLPbkyRN248YNtmHDBmZvb8+6dOnCCgsLJWX79evHpk6dWq0+XbBw4UJmamrK5s6dy3JycrQdToOwbNkyBoAFBwfX6zpVx8ZiY2MZABYYGMgSEhJUFKm0mhbaZYyxR48eMQDs1KlTLCsri6WlpbE9e/YwU1NT9vvvvytV38CBA9mCBQuYlZVVtbE/8eu9e/eu1N9UUVGR3Nev+jeclZXFbt26xSZNmsQsLCykZj26uLiwZcuWSdXz/PlzpV6TutDNzgaUxEaMGCG17+zZswyA1IcOADt06FC96lq8eDHr2LFjtf0pKSnM2NiYff3115J9/fr109mVAwoKCtiiRYuYubk5s7KyYitXrmTFxcXaDsugpaSkMACMz+ez3Nxcpa9z+fJlZmVlJVnFQ13Ji7HK6fmWlpbszp07bMyYMWzp0qVSx8VJ7M1p6wMGDGDTp09XuL5Hjx6xRo0asfz8fObr68t27twpdVycxOqzbqisv+GMjAwGgF25ckWyz8XFha1bt07pejSBJnYYqOLiYuzduxfu7u6wtbXVSJ1eXl4IDg7GwYMHNVJffTVu3BhLly7Fw4cPMWHCBCxZsgQ3b94E8L+bYolq1adLkTGGuLg4vPvuu/D19YWpqSmAyrExda4TGBERAU9PT3h6emLcuHEIDw+vs5vw6tWruHbtGnx9fRWub/v27Rg6dCisrKwwbtw4hIWFKRu63AQCAXbs2AFra2t4enqqvT6tUXtK1TBDa4nxeDxmbm7OzM3NGQDm4OBQ7RcqAGZqaiopJ94ePHggd101tcQYY2z+/PmsUaNGkn/369ePGRkZSdU1e/ZspV6juj179owxVjktv2vXruyDDz5g586do6n5KqZsl+LAgQMZAObl5cV+++03VlpaqpY1Fd/Us2dPtn79esYYY+Xl5czOzo6dPHlSclzcEmvUqBEzNzdnRkZGDACbNm2awnVVVFQwJycnyROlX7x4wYyMjFhqaqqkjLgl9ubf8MuXL+WuZ/HixYzL5UrO5XA4rHHjxuz48eNS5VxcXJixsbFUPT///LPCr0udqCVmQPz9/SVL0Fy+fBmBgYEIDg5Genq6VLl169ZJLVeTlJSksqdcM8Yk09vFxo4dK1XXV199pZK6VM3e3h5AZSvsww8/RHx8PPr06YOOHTti69atdPO0isg7S/H69ev45JNP8OTJEwDAtGnTcPr0ady+fRtTpkxBo0aNapypqCp3797FlStXJM9F5PP5GDNmDLZv316tbEREhGT5p4iICERGRmLBggUK1XfixAmUlJQgODgYAGBnZ4fAwECZ9Z07d07q76pJkyYK1eXp6Sk5NyEhAZ9++ilGjx6Nq1evSpWbO3euVD0TJkxQqB6dov6cqlmG1hJ7c0xMKBQyc3NzqTEqqHFMjDHGhg0bxry9vSX/1uUxsbpUVFSwEydOsLfffps5OTmxsrIyxhhjjx8/1nJk+q+mG59fv37N9u7dy3r16sUAsBYtWkg9yeJN6lrhXqyuhXYZq3lMbNWqVYzP5ys0aWr06NHV6uNwOKxFixZMKBQyxtQ3JsYYY56enmzs2LGSf9OYGNEqDocDLpeLV69eaaS+O3fuIDo6GqNGjdJIferG5XIxaNAgHDp0CHfu3IGRkREeP34MFxcX+Pv7488//8Tr16+1HaZeevPGZ/bvGNPMmTMxduxYmJiYYP/+/UhLS0P//v1rvE5t943VlzwL7daGx+NBKBTK/RTlnJwcREZG4o8//qjWU1JcXIzjx4+r4mXVisfjaez7Qhsoiek4gUCA7OxsZGdnIyUlBTNnzkRxcTGGDRsmVS4/P19STrwpuqq1UChEdnY2nj59iuTkZPzyyy/o168fOnXqhLlz56ryZekEMzMzAJVdjnv27EFFRQXee+892NnZYeLEidoNTg+Jf+j8/fff8Pb2xo4dOwAAc+bMwe3btxETE4NRo0bByMiozmupaoX7N0VFRSEvLw+TJ09Gu3btpLZ333232oSLnJwcZGdn4/Hjxzh+/Dh+/vln+Pv7o3HjxnLVt3v3btja2mL06NFSdXXo0AEhISEqn+Ah/hvOzs5Gamoqli9fjtu3b2PEiBEqrUenqL9hqFmG1p2IKg8TtbS0ZN26dWP79++XKle1TNVt1apVUmWqPnz0TYsXL5acx+PxmI2NDevduzdbt26d5DHvYvrcnViX27dvs5UrV7JvvvmGMVY5Fbt///7s+++/ZykpKTQhpAabN29mDg4Oks+Qn58fO3/+fL2uqernjTHGWEhICBsyZIjMYwkJCQwAS0hIkHQnVv2baNmyJZs6darU7S3ibsBHjx7JvGb79u1rnJJ/4MAByUMw5elOVORvGAAzMzNj7du3Z1u2bJEqZ2jdiZTEGoBHjx4xPp/P7t27p+1Q9E56ejobPnw4a9SoEQPA2rRpw+bNm9egk1l2djYLCwtjI0aMYH///TdjrPILefbs2eyjjz5SyY3PjKl/bEwVwsPDmbu7u2RsVV0a2t8wjYkRKdHR0Zg2bRratGmj7VD0jrOzMyIjI5GTk4OjR4+if//+kiWJKioqMHnyZKxduxZxcXEoLCzUdrgqxxiDSCQCAOzcuRN+fn5wcHDA1KlTkZOTIxn3euedd7B27VpJt3N91lIUU+fYmKpER0dj5cqVcnWR1rce+huWjcOYkguB6ajCwkJYWVmhoKBA7n5rQpTx+PFjvPfee0hKSpIMnHt4eCAxMRFmZmZISUmBo6OjXn0OHzx4gKtXryIhIUFyc29UVBR69+6NX375BWfPnkVISAiGDBmCpk2byrxGhw4dkJycjO3bt2PSpEn1iqe8vByenp549OgR1q5di9mzZ9frekQ/KPI9TkmMkHoSCoW4c+cOEhIScP/+fXz33XcAgNatW+Phw4fw8PCAj48PfHx8MGHCBDRt2hSvX7+GsbExuFzNd4a8fv0aWVlZePr0KTIyMnDr1i1899134HA46Ny5M5KSkuDs7CyJeezYsXB1dZX7+t999x0WLVqE4OBg/PXXX/WOd/v27Zg8eTLs7e3x6NEjyYQcYrgoiVESIzrg1q1bklZNQkICkpKScP78eXTu3BkzZszAtm3b4ODgINnGjBmDDz74ADk5Obh8+TJatGgBGxsbGBkZwdjYWLLUmEAgkDw1QCgUory8HEKhEBYWFjA3N0dmZiYuXrwoSVRZWVlwdXXFsmXLkJubW23JMmdnZ1y9ehVNmzbFrVu3YG9vX2MrSx537txB27Ztwefz8fz5c4Vv2H1TeXk5unTpgqCgIHzzzTcyn35MDIsi3+N8DcVESIPj7e0Nb29vhIaGAqhssYlXPpkwYQK8vb0lSSYrKwvFxcUAKtfoGzp0qNS13Nzc8PDhQwCAk5MTXrx4Ua2+LVu24JNPPsHp06cxceJEmJqaokWLFnBwcICjoyMAoEmTJti5cyccHBzQokULODo6wtraWirm+hKvpZicnIzDhw/Xu0vRyMgISUlJ9PwwIhO1xAjRMeJ7fbKyspCbmwuhUAgTExMEBAQAqLyZWCAQgMfjgc/nS7YOHTrAxcUFJSUlKC8vh5WVVbXlwjRF1V2KpGGh7kRKYoRolaq7FEnDosj3OE2xJ4SonKqe+ExIXSiJEULU4s21FAlRB0pihBC1kPfxLITUByUxQohaiLsUeTweEhIStB0OMVA0xZ4Qojb//e9/4ezsDEtLS22HQgwUJTFCiNqo4r4zQmpD3YmEEEL0FiUxQggheouSGCGEEL1FSYwQQojeoiRGCCFEb1ESI4QQorfUmsRWrFiBnj17wszMTOpxD7WZOHEiOByO1NajRw91hkkI0TPZ2dmYOXMmWrVqBRMTEzg5OWHYsGGIiYkBALi6ukq+Pxo1agRXV1e89957OH36tJYjJ6qm1iRWVlaG0aNH49NPP1XovKCgIMkzlrKysuhRDoQQibS0NPj4+OD06dNYs2YNkpOTER0dDX9/f8yYMUNSbtmyZcjKysLdu3exa9cuWFtbIyAgACtWrNBi9ETV1Hqz89KlSwEAO3bsUOg8ExMTNG/eXA0REUL03fTp08HhcHDlyhWYm5tL9nt7e+Ojjz6S/NvS0lLyPeLs7Iy+ffvCwcEBixYtwrvvvgtPT0+Nx05UTyfHxOLi4mBvbw8PDw9MnToVz58/13ZIhBAdkJubi+joaMyYMUMqgYnVNWzxxRdfgDGGyMhINUVINE3nlp0KDg7G6NGj4eLigkePHuHbb7/FgAEDkJCQABMTk2rlBQIBBAKB5N+FhYWaDJcQokH3798HYwxeXl5KnW9jYwN7e3ukpaWpNjCiNQq3xJYsWVJt4sWb29WrV5UOaMyYMRg6dCjatWuHYcOG4fjx47h37x6OHTsms/yqVatgZWUl2ZycnJSumxCi28QPoudwOPW6Rn3OJ7pF4ZbYZ599hvfff7/WMq6ursrGU42DgwNcXFyQmpoq8/hXX32F2bNnS/5dWFhIiYwQA9WmTRtwOBykpKTg7bffVvj8nJwcvHjxAm5ubqoPjmiFwknMzs4OdnZ26ohFppycHGRmZsLBwUHmcRMTE5ndjIQQw2NjY4PBgwdj06ZN+Pzzz6uNi+Xn59c6Lvbzzz+Dy+UqlQCJblLrxI6MjAwkJSUhIyMDFRUVSEpKQlJSEoqLiyVlvLy8cOjQIQBAcXEx5syZg4sXLyItLQ1xcXEYNmwY7OzsMHLkSHWGSgjRE5s3b0ZFRQW6d++OAwcOIDU1FSkpKdiwYQP8/Pwk5YqKipCdnY3MzEycPXsW06ZNw/Lly7FixQq4u7tr8RUQlWJqFBoaygBU22JjYyVlALDw8HDGGGOlpaUsMDCQNW3alBkZGTFnZ2cWGhrKMjIy5K6zoKCAAWAFBQUqfjWEkPr4559/GJfLZYMHD5ba/+jRI5nfEwDYxYsXZV7r6dOnbMaMGczFxYUZGxszR0dHNnz4cMl3i4uLi+QaxsbGzNnZmb333nvs9OnT6n6ZRAUU+R7nMPbvSKmBKCwshJWVFQoKCtC4cWNth0MI+deUKVNgYWGB33//Hbdv34azszOAypuX3dzccOrUqWoP0bS1tYWRkZE2wiVapMj3uM5NsSeEGJ6SkhLs27cP8fHxyM7Oxo4dO7Bo0SKpMra2trTIAVGYTt7sTAgxLBEREfD09ISnpyfGjRuH8PBwGFgnENESSmKEELULCwvDuHHjAFSujVpcXCxZrFesZ8+esLCwkNoqKiq0ES7RI9SdSAhRq7t37+LKlSs4ePAgAIDP52PMmDHYvn07AgICJOUiIiLQtm1bqXN5PJ5GYyX6h5IYIUStwsLCIBQK4ejoKNnHGIORkRHy8vIk+5ycnGjqO1EYdScSQtRGKBRi165dWLt2reQ+0aSkJFy/fh0uLi7Yu3evtkMkeo5aYoQQtYmKikJeXh4mT54MKysrqWPvvvsuwsLCEBISAqBydZ7s7GypMtbW1jA1NdVYvET/UEuMEKI2YWFhCAgIqJbAAGDUqFFISkpCbm4uACAgIAAODg5S2+HDhzUcMdE3dLMzIYQQnaLI9zi1xAghhOgtSmKEEEL0FiUxQggheouSGCGEEL1FSYwQQojeoiRGCCFEb1ESI4QQorcoiRFCCNFblMQIIYToLUpihBBC9BYlMUIIIXqLkhghhBC9RUmMEEKI3qIkRgghRG9REiOEEKK3KIkRQgjRW5TECCGE6C1KYoQQQvQWJTFCCCF6i5IYIYQQvUVJjBBCiN6iJEYIIURvURIjhBCityiJEUII0VuUxAghhOgtSmKEEEL0Fl/bAagaYwwAUFhYqOVICCGEKEP8/S3+Pq+NwSWxoqIiAICTk5OWIyGEEFIfRUVFsLKyqrUMh8mT6vSISCTC06dPYWlpCQ6Ho+1walVYWAgnJydkZmaicePG2g5HYfocP8WuPfocP8WuGYwxFBUVoUWLFuByax/1MriWGJfLRcuWLbUdhkIaN26s8x+q2uhz/BS79uhz/BS7+tXVAhOjiR2EEEL0FiUxQggheouSmBaZmJhg8eLFMDEx0XYoStHn+Cl27dHn+Cl23WNwEzsIIYQ0HNQSI4QQorcoiRFCCNFblMQIIYToLUpihBBC9BYlMQ1bsWIFevbsCTMzM1hbW8t1zsSJE8HhcKS2Hj16qDdQGZSJnTGGJUuWoEWLFmjUqBH69++PW7duqTfQGuTl5WH8+PGwsrKClZUVxo8fj/z8/FrP0dZ7v3nzZri5ucHU1BQ+Pj44d+5creXPnDkDHx8fmJqaolWrVti6davaY6yJIrHHxcVVe385HA7u3LmjwYj/5+zZsxg2bBhatGgBDoeDw4cP13mOrrz3isaua++9siiJaVhZWRlGjx6NTz/9VKHzgoKCkJWVJdn++usvNUVYM2ViX7NmDX766Sds3LgR8fHxaN68OQYNGiRZ41KTPvzwQyQlJSE6OhrR0dFISkrC+PHj6zxP0+99REQEZs2aha+//hqJiYno06cPgoODkZGRIbP8o0ePMGTIEPTp0weJiYlYuHAhPv/8cxw4cECtccqiaOxid+/elXqP27Rpo6GIpZWUlKBjx47YuHGjXOV16b1XNHYxXXnvlcaIVoSHhzMrKyu5yoaGhrIRI0aoNR5FyBu7SCRizZs3Z6tXr5bse/36NbOysmJbt25VY4TV3b59mwFgly5dkuy7ePEiA8Du3LlT43naeO+7d+/OPvnkE6l9Xl5ebMGCBTLLz5s3j3l5eUnt+/jjj1mPHj3UFmNNFI09NjaWAWB5eXkaiE4xANihQ4dqLaNL731V8sSuy++9Iqglpifi4uJgb28PDw8PTJ06Fc+fP9d2SHV69OgRsrOzERgYKNlnYmKCfv364cKFCxqN5eLFi7CysoKvr69kX48ePWBlZVVnLJp878vKypCQkCD1ngFAYGBgjXFevHixWvnBgwfj6tWrKC8vV1usb1ImdrHOnTvDwcEBAwcORGxsrDrDVCldee/rQ1/fezFKYnogODgYe/fuxenTp7F27VrEx8djwIABEAgE2g6tVtnZ2QCAZs2aSe1v1qyZ5JgmY7G3t6+2397evtZYNP3ev3z5EhUVFQq9Z9nZ2TLLC4VCvHz5Ui1xyqJM7A4ODti2bRsOHDiAgwcPwtPTEwMHDsTZs2c1EXK96cp7rwx9f+/FDG4Ve21YsmQJli5dWmuZ+Ph4dO3aVanrjxkzRvLf7dq1Q9euXeHi4oJjx47hnXfeUeq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"text/plain": [ "
    " ] @@ -62,6 +102,7 @@ "G = create_example_graph(centered=True)\n", "G.rescale_to_unit_disk()\n", "\n", + "\n", "fig, ax = plt.subplots()\n", "G.plot(ax = ax, angle_labels_circle=True)" ] @@ -75,7 +116,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -93,10 +134,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, @@ -131,7 +172,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -139,18 +180,17 @@ "text/plain": [ "{-0.7853981633974483: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", " -0.6747409422235526: [('A', 'C')],\n", - " -0.4636476090008061: [('A', 'D')],\n", + " -0.4636476090008061: [('A', 'D'), ('F', 'C')],\n", " -1.2490457723982544: [('A', 'E')],\n", " -0.5880026035475675: [('B', 'C')],\n", " 0.0: [('B', 'D'), ('E', 'F')],\n", " -2.356194490192345: [('B', 'E'), ('D', 'F')],\n", " 2.0344439357957027: [('C', 'D')],\n", " 2.896613990462929: [('C', 'E')],\n", - " 2.677945044588987: [('C', 'F')],\n", " -2.819842099193151: [('D', 'E')]}" ] }, - "execution_count": 7, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } diff --git a/docs/doctrees/ect_on_graphs.doctree b/docs/doctrees/ect_on_graphs.doctree index 42bf185cd388becb1a03a5236af3c778c217062a..da1a89c95dbb1f8e79db29e1e6f2c4d2b4dd7e19 100644 GIT binary patch delta 2050 zcmZXVe@s(X6vum^_6IG$5;nFu5K2%e$|N)X00jwl6gm(l1c+{>mJZ%qZ5b_5wm38{ zE^3wNeMuM1jE==**%olmh4}-KIdz*X>V8UT3k8SlhtAEIn8mrBb00j(_Rsg+`#I;H zbMC$GwgX+7fi6vNy_(edkJ?B@?52&5CaZmOZfl3&t4CBX>NIwF@NARgPxtrRZ z4v*l|dfUD3HqPdRv5{Uan@iKm<7uSSpw~&^&26^U7HTx7QHOb6w93xWH_VG^v^jO& z9M09`*aFF%oZaE_I0T=bb9uZrr_<);+%7s`p8sT6sZjV5>~5F0joaAnNTbGZbdT*i|Z?w>qv;M zuY5*4-|$&23DTWC`6NsSd)5L@?7a?Tu;=ju$E%HO+fV7BI@|UF9IB~wa!dJ`@H{?M_+)$4A(br`-#Qb-D zf(&U_%oxaB?IQ7b78b$|!lL1WqWT*yioqA*69ylcpxF7{B4sQ_?qX~gAEYO**Fnm} 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", 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", + "text/plain": [ + "

    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Super simple graph \n", + "G = EmbeddedGraph()\n", + "G.add_node('A', 0,0)\n", + "G.add_node('B', 1,0)\n", + "G.add_node('C', 2,1)\n", + "G.add_node('D', 1,2)\n", + "G.add_edge('A', 'B')\n", + "G.add_edge('B', 'D')\n", + "G.add_edge('D', 'C')\n", + "\n", + "G.plot(angle_labels_circle=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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"text/plain": [ "
    " ] @@ -62,6 +102,7 @@ "G = create_example_graph(centered=True)\n", "G.rescale_to_unit_disk()\n", "\n", + "\n", "fig, ax = plt.subplots()\n", "G.plot(ax = ax, angle_labels_circle=True)" ] @@ -75,7 +116,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -93,10 +134,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, @@ -131,7 +172,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -139,18 +180,17 @@ "text/plain": [ "{-0.7853981633974483: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", " -0.6747409422235526: [('A', 'C')],\n", - " -0.4636476090008061: [('A', 'D')],\n", + " -0.4636476090008061: [('A', 'D'), ('F', 'C')],\n", " -1.2490457723982544: [('A', 'E')],\n", " -0.5880026035475675: [('B', 'C')],\n", " 0.0: [('B', 'D'), ('E', 'F')],\n", " -2.356194490192345: [('B', 'E'), ('D', 'F')],\n", " 2.0344439357957027: [('C', 'D')],\n", " 2.896613990462929: [('C', 'E')],\n", - " 2.677945044588987: [('C', 'F')],\n", " -2.819842099193151: [('D', 'E')]}" ] }, - "execution_count": 7, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } diff --git a/docs/doctrees/nbsphinx/notebooks_Tutorial-ExactECT_3_1.png b/docs/doctrees/nbsphinx/notebooks_Tutorial-ExactECT_3_1.png index b8ce46f8add364b1b913591d1b729fbdfc918f96..e6933e4d7245d70328089316f2e423a9caad4149 100644 GIT binary patch literal 22908 zcmcG$cRZK>`#$`#NA?Plne076_7;VNWJNZSJ+t>NGO{+_hM%;q z(s95);%-U?Zg-um+&mw;SfVr^x;Z;IxjERHGkRFMxY{~B7UC7>735~LadUHamEhxZ z{O@nzb#k%hW4eto17CvYta{%Sg(7~4{6Q;~DX~SN48E%=%ISJ#?#z1|=}uh8>`xJN ze&Aqy%@WT1H9k5&g`Kl7KfMgksxjG~H%Bm4STm_#qjubs(=OwhC2zx{XnR}UT-=P{ zOApYQC54vSK4mU4Jk4VDNJ|&O*jry|Um+Fp^me!0^&M(i&t@@;6(EtvWun9L#$gO4 zkuRktmB(F$QG9=bX;Fs zn=~^kD`ov~6F%qj)OM(&BN(}xjhflV^;$UCaIasq1(-ugI_N1`{{Q@s@VBv|TO*%8 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+472,14 @@
    -get_all_angles(returntype='matrix')[source]
    +get_all_angles(returntype='matrix', num_rounding_digits=None)[source]

    Function to get all angles of normals to any line between veritces in the graph. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order.

    Parameters:
    -

    returntype (str) – The return type of the angles. Options are ‘matrix’ or ‘dict’. If ‘matrix’, returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If ‘dict’, returns a dictionary of angles with dict[‘A’,’B’] returning the angle normal to the vector \(\overrightarrow{AB}\).

    +
      +
    • returntype (str) – The return type of the angles. Options are ‘matrix’ or ‘dict’. If ‘matrix’, returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If ‘dict’, returns a dictionary of angles with dict[‘A’,’B’] returning the angle normal to the vector \(\overrightarrow{AB}\).

    • +
    • rounding_digits (int) – The number of digits to round the angles in either the matrix or the keys of the dictionary.

    • +
    Returns:

    A list of angles of the vertices in the graph.

    diff --git a/docs/notebooks/Tutorial-ExactECT.html b/docs/notebooks/Tutorial-ExactECT.html index 720f39c..abba788 100644 --- a/docs/notebooks/Tutorial-ExactECT.html +++ b/docs/notebooks/Tutorial-ExactECT.html @@ -152,16 +152,51 @@

    3.4. Tutorial for exact ECT computation<
    [2]:
     
    +
    # Super simple graph
    +G = EmbeddedGraph()
    +G.add_node('A', 0,0)
    +G.add_node('B', 1,0)
    +G.add_node('C', 2,1)
    +G.add_node('D', 1,2)
    +G.add_edge('A', 'B')
    +G.add_edge('B', 'D')
    +G.add_edge('D', 'C')
    +
    +G.plot(angle_labels_circle=True)
    +
    +
    +

    +
    +
    [2]:
    +
    +
    +
    +
    +<Axes: >
    +
    +
    +
    +
    +
    +
    +../_images/notebooks_Tutorial-ExactECT_3_1.png +
    +
    +
    +
    [3]:
    +
    +
    G = create_example_graph(centered=True)
     G.rescale_to_unit_disk()
     
    +
     fig, ax = plt.subplots()
     G.plot(ax = ax, angle_labels_circle=True)
     
    -
    [2]:
    +
    [3]:
     
    @@ -173,12 +208,12 @@

    3.4. Tutorial for exact ECT computation<
    -../_images/notebooks_Tutorial-ExactECT_3_1.png +../_images/notebooks_Tutorial-ExactECT_4_1.png

    We can extract the information directly for use in computation.

    -
    [5]:
    +
    [4]:
     
    # If return type is `matrix`, the function returns the matrix of angles and the labels of the angles in the order of the rows/columns in the matrix
    @@ -206,24 +241,24 @@ 

    3.4. Tutorial for exact ECT computation<

    -
    [5]:
    +
    [4]:
     
    -<matplotlib.colorbar.Colorbar at 0x16db99bb0>
    +<matplotlib.colorbar.Colorbar at 0x146ddb0e0>
     
    -../_images/notebooks_Tutorial-ExactECT_5_2.png +../_images/notebooks_Tutorial-ExactECT_6_2.png

    This can also be returned as a dictionary, with keys given by angles (note the negative angle is not repeated), and value a list of the pairs of vertices associated. Note that in the case of more than one pair of vertices having the same normal angle, it is given as a list of all pairs.

    -
    [7]:
    +
    [5]:
     
    angles_dict = G.get_all_angles(returntype='dict')
    @@ -232,21 +267,20 @@ 

    3.4. Tutorial for exact ECT computation<

    -
    [7]:
    +
    [5]:
     
     {-0.7853981633974483: [('A', 'B'), ('A', 'F'), ('B', 'F')],
      -0.6747409422235526: [('A', 'C')],
    - -0.4636476090008061: [('A', 'D')],
    + -0.4636476090008061: [('A', 'D'), ('F', 'C')],
      -1.2490457723982544: [('A', 'E')],
      -0.5880026035475675: [('B', 'C')],
      0.0: [('B', 'D'), ('E', 'F')],
      -2.356194490192345: [('B', 'E'), ('D', 'F')],
      2.0344439357957027: [('C', 'D')],
      2.896613990462929: [('C', 'E')],
    - 2.677945044588987: [('C', 'F')],
      -2.819842099193151: [('D', 'E')]}
     
    diff --git a/docs/notebooks/Tutorial-ExactECT.ipynb b/docs/notebooks/Tutorial-ExactECT.ipynb index f5f05fc..a341a75 100644 --- a/docs/notebooks/Tutorial-ExactECT.ipynb +++ b/docs/notebooks/Tutorial-ExactECT.ipynb @@ -49,7 +49,47 @@ }, { "data": { - "image/png": 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", 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06BCMjY0RHByM3Nxc3tFUwsrKCkOHDsWmTZsgkUgqvV9QUFDj+uHh4RAKhRg1apR6AjYRVIx0gFQqRVZWFrKysnDnzh3MmTMHYrEYI0aMwNixYzFu3Di89dZbCAsLQ0xMDFJTU3H06FH4+/vj7NmzvOM32J07d5CZmQng2bfLDRs2YOjQoZxTkeqIRCKMHDkSZ86cQUJCAmxsbFBYWIi33noL8fHxvOM1yubNmyGXy9G7d2/8+uuvuHfvHu7cuYONGzeib9++yuWKi4uRlZWF9PR0XLhwAe+99x5Wr16N0NBQuLu7c/w/0AFq7dPXSNS1u/JDr+bm5qxXr15s//79ymXkcjnbsmUL69WrFzMxMWEWFhbM29ubhYeHs5KSEo7pG2fTpk2sTZs2rF+/fo1+7kgbKRQKJhaLmVgs1squ56oQHx/P2rVrxwQCAQsJCWEPHz7kHanBMjIy2KxZs5irqyszMDBgjo6OLCgoiJ09e5YxVvGhVwMDA+bi4sLGjh3Lzpw5wzc4Z3U9j9NwQERr5OTkICwsDGVlZfjmm29QXl4OhUKB1NRUjY9ZR1SnvLwcO3bswMqVK5GTk4OvvvoKH3zwAe9YREPqeh6ny3SEO4lEgtWrV+Oll17C1q1bYWdnB+BZrzhDQ8N6P3dEtIu+vj7ef/993L9/HytXrkT37t0BAA8fPkRRURHndERbUMuIcFVcXIyOHTsiOzsbM2bMwNKlS9GqVatKy/EY0Zuo16BBg3Dr1i1s3rwZb7zxBu84RE2oZUS0WkFBAeRyOczNzbFixQokJiZiw4YNVRYioP6jMhDt9/3338PX1xdjxozBW2+9hZycHN6RCEdUjIjGHTt2DF5eXti0aRMAYMqUKWjTpk2t69VlVAaiO5ycnHDgwAH8+OOPOHnyJPr37w+5XM47FuGEihHRmPz8fEyaNAnDhw9H165dMXr06HqtT62jpkcgEOCtt97C7du3sWXLFujp6aGgoIBaSc0QFSOiESkpKejUqRMOHz6MHTt24NixY3Bycqr3dqh11DTZ2dnBz88PALBkyRJ07NgRv/76K+dURJOoGBG1evr0KQDAxcUFkydPxq1bt/Duu+82eOgeah01fcuXL0e/fv0wZswYjB8/nlpJzQT1piNqc+zYMbz//vv4/vvvlQNqqgL1rGv6GGPYt28fZs+eDQMDAyQmJtI5QEdRbzrCjUKhwLJlyzB8+HB06dKlwUPvV+fF1lF4eLhKt020w4v3kr788ktYWFiAMUYdHJowahkRlSouLsbEiRMRFRWFNWvW4OOPP1bLaNpJSUn47bff8N5778HY2Fjl2yfaJywsDBcuXMBPP/1U64R2RHtQy4jUSWxsLFavXq2y4f7lcjkePXqEqKgoLFq0SG3TOrRv3x5z586lQtSMeHt74/Lly+jTpw+SkpJUss21a9fi0qVLKtkWaRwR7wCEn5ycHAwePBj5+fl4+vQpVq1a1eDicf78ebi6uqJNmza4cuUKhEL6nkNUa8iQIbh69SqCgoLQu3dvREZGNmoU99DQUHzyyScwMzPD3bt34ejoqMK0pL7ojNGM2djY4NNPPwXw7IO5bNmyBrWQtmzZAn9/f3z11VcAQIWIqE27du1w+fJl9O/fH5s2bWpwi/55IQKAxYsXUyHSBuobOLzxaAoJzdiwYYNy6PulS5fWeToDqVTKpk+fzgCwDz74gJWXl6s5KSHPyGQyJhaLGWOMJSQksNLS0jqvu3r1auXfe2hoqLoikv9T1/M4FSPCGKt/QVIoFCwwMJDp6+uzbdu2aSglIRU9ffqUOTk5sT59+rCMjIxal6dCpHlUjEi91bcgHTx4kP3xxx8aSkdI1a5evcocHByYo6Mju3HjRrXLUSHig4oRaZDaCtKNGzfYRx991GRnJiW6KSMjg/Xs2ZO1aNGCXb58udL7VIj4qet5nO40kwrmzp2LDRs2AKjcqeHatWvw8/PDmTNnIBaLOaYkpCJ7e3ucPn0a/fv3h4GBQYX3XuysEBoaiiVLlvCISGpBXbtJJXPnzgUAzJs3D6GhoQCAgIAAvPbaa+jUqRN+++03mJub84xISCUWFhY4cuQIgGdjIt66dQu///47FSIdQSMwkGqFh4dj3rx5AJ5NHd23b18cPXqUChHReqtWrcJnn30GmUwGgAoRTzQCA2m0Fy/ZlZeXo0+fPjAzM+MbipA6UCgUykL07rvvUiHSAVSMSLWuXLkCb29vZUH68ssvG/xgLCGaEhoaihUrVgAAPDw8sG/fPpw/f55vKFIrKkakStevX8fQoUMRGhpaY6cGQrTJfzsrxMXFoV+/fjhz5gznZKRW6u/Y13DUtZuP+Ph4Zm1tzXx8fCoc+4aO1ECIJlTXfVsqlSr/VouKinjFa7aoazdpkNTUVAwePBguLi44ceJEhRuO1EIi2qqm7tsGBgYQCAQ4fvw43N3dce/ePV4xSQ2oGJEKCgoK4OHhgd9//73KOWOoIBFtU9fniHx9fdGyZUsEBQWhsLBQkxFJXWikndZAdJlOc+RyOZNKpYwxVqfLb3TJjmiD+o6skJiYyCwtLdmwYcOYTCbTQEJCwwGRelm5ciV7+eWX6zXyNhWkxhE/LWe3HhWw66l57NajAiZ+SqOe10dDh/g5ceIEEwqFNCyQhtT1PE4jMBAcOHAAn376KVatWgWRqO5/ElWN1NCYCfqag3uPi7H3ShrOJmYjLa8EL17gFABwsTKBn4ctgn1c0K41PVxcncYM8TN06FD89NNPGDBggJrSkYagYtTMxcfHY+LEiXjzzTexdOnSeq//YkF68OABFAoF9PT0VB1T56XnlWDJwQT8cT8HekIB5IrK99kYgNS8Euy5kopdf6XgZXcbrHm9M5ytTDQfWIsxxvDgwQMADR9ZYezYsQCAzMxMZGdno2vXrirNSOqPhgOqh0uXLuHll1/G4MGDceLECeXrKSkpcHNzU/5uZmYGFxcXDBgwAPPmzUO7du14xK2VWCxG586d0aJFC/z5558wNTVt8LaOHz+OIUOG1Ktl1Vzsu5aGT6NuQ6ZgVRah6ugJBRAJBVgZ5IXxvVzUmFD3KBQK/Pbbbxg2bFijtjNmzBj89ddfuHbtGhwcHFSUjryorudxKkb1MHXqVJiZmWH79u34+++/4eLy7ATxvBhFR0fDy8sLJSUlSEhIQHh4OC5fvowjR45g0KBBnNNXbceOHfD391f+vxDV+vbsPXx1MqnR2/lwSHvM9tPOLzW6LDMzE7169YKjoyPOnz8PIyMj3pGaHBqbTsUkEgl+/vlnzJgxA8OHD8euXbsqLWNtbQ07Ozu0bdsWI0eORHR0NHx8fDBlyhTI5XLNh67B5cuXAQCTJ0+mQqQm+66lqaQQAcBXJ5MQeS1NJdsi/7K3t8ehQ4cQHx+P9957jx5T4IiKUR1FRkbCw8MDHh4eCAkJwc6dO2v9wxUKhZg7dy5SU1MRGxuroaS1++6779C3b19cuXKFd5QmKz2vBJ9G3a70ujg+GqmfD//3Z+3rSP8mBFk/LkbhXz9DLimodpvLo24jPa9Ejambp549eyIiIgKRkZG4desW7zjNFhWjOoqIiEBISAiAZ3P7iMVinD59utb1OnToAODZpTxtkJiYiHnz5mHGjBnw8fHhHafJWnIwAbIa7g9ZvzYPdhO/Quvxq2A1eAYMbNui8PKvyNg2A6UpcVWuI1MwLDmYoKbEzduECRNw7949dO7cmXeUZouKUR0kJibi6tWrGD9+PABAJBJh3Lhx2LFjR63rPm89aUN3Z7lcjnfffRdOTk746quveMdpsu49LsYf93Nq7Kyg38oVho4dYOTcCaYd+sHKfxocJn8DgYERnhwIhVySX2kduYLhj/s5uJ9drM74zZaLiwukUik2btyI8vJy3nGaHbUWo7CwMPTq1Qvm5uawtbXFqFGjkJiYqM5dqkVERARkMhkcHR0hEokgEomwZcsWHDhwAPn5lU8aL7pz5w4AVOhtx8uOHTtw+fJl7Ny5EyYm1F1YXfZeSYOesP5fPkSWtmg5cApYWSmKb5yochk9oQA/XKZ7R+py584dLFiwAF988QXvKM2OWovR+fPnMWvWLFy+fBmnTp2CTCbDkCFDIJFI1LlblZLJZNi9ezfWrVuHuLg45c/Nmzfh6uqKvXv3VruuQqHAxo0b4ebmhu7du2swddUmTpyIqKgo9O/fn3eUJu1sYna9unC/yLhtT0AghDS96nsXcgXD2aTsxsQjNejWrRsWLVqEzz77DPHx8bzjNCtqfSjkxWdxAGDnzp2wtbVFbGwsXnnlFXXuWmWOHj2K/Px8TJkyBZaWlhXeGzNmDCIiIjB8+HAAQG5uLrKyslBSUoJbt25hw4YNuHr1Ko4dO8b1QVC5XI7k5GS4u7srsxL1EEtlSGtEJwOhgRGEJhaQi/OqXSYttwQSqQymhvRMlzosW7YMhw8fxjvvvIMrV65AX1+fd6RmQaP3jJ6PlGtlZVXl+1KpFEVFRRV+eIuIiIC/v3+lQgQAb7zxBuLi4pCX9+zE4e/vD3t7e3Tu3BmLFi2Cp6cn4uPj4efnp+nYFYSHh6NLly7IysrimqM5SM2VoNGdg2vZAAOQkqs7Vxd0jaGhIXbt2oX4+HhERUXxjtNsaOyrFWMMCxYsQP/+/dGpU6cqlwkLC8PKlSs1FalOjhw5Uu17PXr0UHZQ0NbnExITE7F06VJMnz4ddnZ2vOM0eWUyRaPWV5Q9haK0CAatXNW6H1Izb29vJCQkwNPTk3eUZkNjLaPZs2cjPj4eP/30U7XLLF68GIWFhcqf9PR0TcVrkp73nnN2dlYOZErUy0DUuI9U6YNrAFPA0KXmLsaN3Q+pnaenJxhjOHr0KPWu0wCN/EXPmTMHUVFROHv2LJycnKpdztDQEBYWFhV+SMN988031HtOw9pYm6KhnfhlhdnIP7sDAkNTmHcPrHY5wf/th6jfgwcPMGrUKHz++ee8ozR5ar1MxxjDnDlzcPDgQZw7d04rujc3J2PGjIGFhQX69evHO0qzYWoogouVCVJr6cRQ/iQVUMjBFHIoSgrxNP02xAnREAiEsB29FHomle9RPudibUKdFzTE3d0dH3/8MVatWoWRI0eiS5cuvCM1WWodKHXmzJn48ccfcfjwYXh4eChft7S0hLGxca3ra9tAqbqkrKwMBgYGvGM0SyuibmPPldQqu3eL46ORe3zDvy/oiSA0NIO+tROM2/aAWdehNRYiPaEAE31csSLISw3JSVWkUim6desGR0dHREdH846jc7Ri1O7qRh3YuXMn3nnnnVrXb+7F6PDhw/D396/31A4XL17E2LFj8ccff6Bt27ZqSkeqc+9xMQZvuKC27UfPfwXutjTxniYdPnwYo0aNQnR0tNaOwK+ttGLUbvZsWvNKP3UpRM1dfHw8Ro0ahbZt22LdunV1flCYMYZFixbB1tYWbdq0UW9IUqV2rc3xsrtNg0ZhqImeUICX3W2oEHEQFBSEPXv20CVvNaIuOVoqJycHbm5uyM7OxocffljnonT8+HH8+eefCAsLg1BI/7y8rHm9M0QqLkYioQBrXqeBPHkQCAQICQmBkZERysrKeMdpkuhspaUGDhyIxMRERERE1LkoyeVyLF68GAMGDMDQoUM5pCbPOVuZYKWK7+t8FuRFU5BztnXrVnTv3p26eqsBFSMtpq+vj8mTJ9e5KD0fYSEsLEwrRglv7sb3csGHQ9qrZFvy6wfRo4VUJdsiDefj44M7d+7UacR+Uj807bgOKS8vx549e7B69WokJycDAGxtbbFw4UJMnz4dpqamYIxRIdIy+66l4dOo25ApWL0GUNUTCiASCvC/V52x4YOxKCwsxLlz59CuHU0/zlNISAjOnDmD+/fv0/N7daAVHRiIatXUUnJ0dMSCBQtQUkIzgWqb8b1cED3/Vfi2tQaAWjs2PH/ft601oue/ivf8O+HMmTOwtLTEgAEDcO/ePbVnJtVbtWoVcnJysHHjRt5RmhRqGemw5y2lVatWKWeS/W9LiWiXe4+LsfdKGs4mZSMtt6TCmKgCPHug1a+9LUL6uFTqNZeVlYWBAwdSC0kLzJ07F+Xl5di8eTPvKFpPK54zaiwqRnWzfPlyhIWFwd7eXjmeHxUl7SeRynDiYiwmhLyNH3/YjYB+3rWOrEAFSTsoFArqrVpHdJmumcjLy8P69esxd+5cPHjwoF697whfpoYiuLXQR1lmEtxa6NdpiB87Ozu6ZKcFhEIh5HI5du/eTVOzqAgVIx23a9culJWVYeHChfXufUd0ExUk7VBcXIwZM2Zg+/btvKM0CVSMdNzYsWOxd+9e2NraKl+jotT0UUHir0WLFggODsZ3330HmUzGO47Oo2Kk45ycnDBmzJgq36utKOXk5Gg4LVElKkj8zZw5E//88w+OHj3KO4rOo2Kkw9577z1s3bq11uWqKko9e/aEjY2NBlISdaKCxFe3bt3Qt29f6lWnAlSMdFRaWhoiIiLqNd35i0WJniBvOqgg8bV8+XJMmDChXp9FUhkVIx21detWmJmZITg4uN7r6uvro3Xr1mpIRXihgsRPQEAA3nnnHRr5pJGoGOmgsrIybNu2DZMmTYKZmRnvOERLUEHi5+HDh5g2bRp1DGoEKkY66Pfff0d2djZmzJjBOwrRMlSQ+BAIBIiIiMC+fft4R9FZVIx00PDhw3Hz5k14enryjkK0EBUkzXNzc8Nrr72GTZs20b2jBqJipGPKysogEAjQpUsX3lGIFqOCpHkzZ87EjRs3cPXqVd5RdBIVIx0zb948jBo1incMogOoIGnW0KFD4ebmhi1btvCOopOoGOkQhUKBX3/9lQbHJHVGBUlz9PT0sHfvXnzyySe8o+gkKkY65OrVq8jOzsbIkSN5RyE6hAqS5vTt2xfu7u68Y+gkKkY65MiRI7C2tkbfvn15RyE6hgqS5qxduxZr167lHUPnUDHSIWfPnsWwYcOgp6fHOwrRQVSQNCM5ORlbtmyhXnX1RMVIh5w7dw7r1q3jHYPoMCpI6jdixAgkJyfj77//5h1Fp1Ax0hEKhQIGBgY0uClpNCpI6uXn5wdTU1NERUXxjqJTqBjpiGHDhlEvHaIyVJDUx8jICEOHDqViVE9UjHRAQUEBoqOj4eDgwDsKaUKoIKnPkiVL6JJ6PVEx0gEnTpyATCbDiBEjeEchTQwVJPXw9vaGr68v7xg6hYqRDoiKikL37t3h7OzMOwppgqggqcfPP/9Ml9brgYqRllMoFIiOjkZQUBDvKKQJo4Kkeqmpqfj6669RWlrKO4pOoGKk5YRCIZKSkjBnzhzeUUgTRwVJtYYNG4bS0lL8+eefvKPoBCpGOqBFixawtrbmHYM0A1SQVKdDhw6wsLBATEwM7yg6gYqRlvvoo4+waNEi3jFIM0IFSTWEQiF69OiB2NhY3lF0AhUjLXf8+HEUFRXxjkGaGSpIqvHhhx9iypQpvGPoBCpGWkwsFuPu3bvw9vbmHYU0Q1SQGm/YsGEIDAzkHUMnUDHSYnFxcVAoFFSMCDdUkBqnrKwM3333HW7dusU7itajYqTFYmNjYWhoCC8vL95RSDNGBanhRCIRFi5cSEMD1QEVIy02evRoHDhwAPr6+ryjkGaOClLDUCeGuqNipMWcnZ3x2muv8Y5BCAAqSA3l7e1NxagOqBhpKbFYjNmzZyMpKYl3FEKUqCDVX8+ePZGamorc3FzeUbQaFSMtFRcXh02bNqGkpIR3FEIqoIJUPz4+PggODoZEIuEdRatRMdJS1HmBaDMqSHXn5uaGH374AS4uLryjaDUqRlrq77//hqenJ3VeIFqLClLdpaen4+7du7xjaDUqRloqIyMDTk5OvGMQUiMqSHXz4YcfYtasWbxjaDUqRlpq5MiRGD9+PO8YhNSKClLt7O3tkZmZyTuGVqNipKWmTp2K4OBg3jEIqRMqSDVzcHBARkYG7xhajYqRFpLL5fj999+Rk5PDOwohdUYFqXr29vYoLCyk3rE1oGKkhbKzsxEQEIC//vqLdxRC6qWhBUkileF2RiFupOXjdkYhJFKZmpNqlqOjI6ytrelZoxqIeAcglT2/tmxvb885CSH197wgDRw4EAMGDMC5c+fQrl27Ssvde1yMvVfScDYxG2l5JWAvvCcA4GJlAj8PWwT7uKBda3ON5VeHgQMH0pWOWlDLSAs9v7bs4ODAOQkhDVNTCyk9rwQTI65g8IYL2HMlFan/KUQAwACk5pVgz5VUDN5wARMjriA9jy5xNWVUjLRQZmYmBAIBbG1teUchpMGqKkj7rqXBf/15XHr47HKVXPHfMlTR8/cvPcyF//rz2HctTe251aV79+747rvveMfQWlSMtFS3bt0gEtFVVKLbXixIA+d8iUUHEiCVKWotQv8lVzBIZQosOpCAb8/qZseIoqIiJCcn846htagYaaFp06bh+vXrvGMQohJ2dnaYu/Fn6HUfpZLtfXUyCZE62EKyt7en7t01oK/ehBC1Ss8rwdfn02tcpiw7GUXXDuNpWgLk4jwIhHrQt3KEiefLMOs6FHrGFTswLI+6Dd+XbOBsZaLO6CpFxahm1DLSQgMHDsSCBQt4xyBEJZYcTICshstyxXEnkLlrHsoyk2DpMxqtx65Eq9FLYdKhH8Q3fkPu8fBK68gUDEsOJqgztsrZ2triyZMnvGNorSZfjN555x0IBALlj7W1NQICAhAfH69c5sX3TU1N0a5dO7zzzjvcJsQqLi6m4eZJk3DvcTH+uJ9T7T0i6aM7yPt9M4zadIP9O+Ew7zEMRq5dYOzWHZZ9x8Lhvf8Hsy6DK60nVzD8cT8H97OL1f2/oDJz587F9u3bNbpPXTr/qbUYXbhwASNGjICDgwMEAgEOHTqkzt1VKyAgAJmZmcjMzMTp06chEokwfPjwCsvs3LkTmZmZuH37NjZt2gSxWAwfHx/s3r1b43llMhl1XiBNwt4radATCqp9v/DSz4BAAOuA2RCIKo9QL9DTh0k7nyrX1RMK8MNl3bl31L59e/Tq1Uvj+9WV859ai5FEIkHXrl3x7bffqnM3tTI0NISdnR3s7OzQrVs3fPzxx0hPT6/QZG7RogXs7OzQpk0bDBkyBPv370dwcDBmz56N/Px8jealYkSairOJ2dW2iphCjqdp8TCwc4fIolW9ty1XMJxNym5sRI05deoUvvjiC43vV1fOf2o94wUGBiIwMFCdu6g3sViMvXv3wt3dHdbW1jUuO3/+fOzevRunTp3C2LFjG7Q/xli9x6OSSqVgjNX7Up2JiQkEguq/hRKiSWKpDGk1PKiqKC0CK5dCZNm6wftIyy2BRCqDqaFmv7w15HN9+vRp/PDDD5g9e3a996eqz7amz3/1oVVfv6VSKaRSqfL3oqIilWz36NGjMDMzA/CstWZvb4+jR49CKKy5YdihQwcAQEpKSoP3XVJSotx3fdy7dw/ffPNNvdYRi8UwNTWt974IUYfUXEmlkRVUjQFIyZXAy8FSzXuqqKGfawANWq8xn22e57/60KoODGFhYbC0tFT+ODs7q2S7fn5+iIuLQ1xcHK5cuYIhQ4YgMDAQqampNa7H2LOPErU2CKm/MpmixveFxhYQ6BtCVvhYrftp7nTl/KdVLaPFixdX6NJcVFSkkoJkamoKd3d35e/e3t6wtLTEtm3bsHr16mrXu3PnDoBnc9g3lImJCcRicb3W+eKLL9CxY0eMGDGi3vsiRFsYiGr+risQ6sHItStKH8ZCVpQDkYWNWvajDg35XIeFhWH79u148OBBg/bXUDzPf/WhVcXI0NAQhoaGat+PQCCAUChEaWlpjctt2LABFhYW8Pf3b9S+6tu8/uWXXzBs2DCa6ZXotDbWphAANV6qs+z7JkofxCD3xDewfeMTCPQq9qhjchlKH8ZW26NO8H/70bSGfK579eqF0tJS7pfSNXn+qw+tKkbqIpVKkZWVBQDIz8/Ht99+C7FYXKHlUVBQgKysLEilUiQlJeG7777DoUOHsHv3brRo0UKjeUUiEcrLyzW6T0JUzdRQBBcrE6TW0InB0NETVkNnIu/kFmTumgfz7q9B38YFTCFH2eMHEMedgL6Na7XFyMXaROOdFxpq5MiRGDlypMb3qyvnP7X+K4rFYty/f1/5e3JyMuLi4mBlZQUXFxd17rqCEydOKOcGMjc3R4cOHfDLL79gwIABymXeffddAICRkREcHR3Rv39/XL16FT169NBYzudEIhFksqY1uRhpnvw8bLHnSmqNA6OadwuAoX17FF07jMLL+yGX5EMgFEHfyhGmHQfA3Ht4levpCQXwa687I9tnZWVBIpHgpZde0uh+deX8J2DP71Kpwblz5+Dn51fp9UmTJmHXrl21rl9UVARLS0sUFhbCwsJCDQm1U+/evWm4+Wbi+vXr8Pb2RmxsLJcvPup273ExBm+4oLbtR89/Be62ujHx3vz583Hy5Encvn2bdxSNqut5XK0towEDBkCNta7JGj9+PE2sR5qEdq3N8bK7DS49zK33tBE10RMK4NvWWmcKEfDscpm+fuVRJsgzunGxtZmhQVJJU7Lm9c7wX39epcVIJBRgzeudVbY9TcjOzqYJM2ugVc8ZkWcyMjJw9epV3jEIUQlnKxOsDPJS6TY/C/LSqekjgGczOD+/d0Mqo2KkhSIiIur9jBEh2mx8Lxd8OKS9Srb10RAPjOuluQ5QqlJSUkKX32tAl+m0kL29PZ48eYLy8nK6xkyajNl+7WBjZohPo25DpmD1umynJxRAJBTgsyAvnSxEAHDjxg26h14DahlpIQcHBzDG8Phx44ZJIUTbjO/lguj5r8K37bNBOmuaXuLF933bWiN6/qs6W4ieo6HFqkfFSAs9v66cmZnJOQkhqudsZYI9U3xwat4rmOjjCldrE/z3FC0A4Gptgok+roie/wr2TPHRuXtEL0pMTISnpydu3brFO4rWost0WsjBwQGtW7eu99hXhOiSdq3NsSLICyvgBYlUhpRcCcpkChiIhGhjbaozIyvURXp6Ou7evUvjR9ag6fxrNyGtW7dWDt9BSHNgaijS+DQQmpSRkQEA1JuuBnSZjhBC1CwzMxMtWrSAsbEx7yhai4qRlnr99dfxwQcf8I5BCFGBjIwM6tZdC7pMp6XkcjkePnzIOwYhRAVmzJiBN954g3cMrUYtIy3l6OiI9PR03jEIISrQoUMHvPLKK7xjaDUqRlrKy8sLd+/eRVlZGe8ohJBGUCgUWLBgARISEnhH0WpUjLSUt7c3ysrK6LkEQnRcUlIS1q9fTw+x14KKkZbq3r07rl27hk6dOvGOQghphNjYWABokvNVqRJ1YNBSRkZG6NmzJ+8YhJBGio2NRdu2bWFlZcU7ilajlpEW279/P2bNmsU7BiGkEWJjY+Ht7c07htajYqTFsrKysH37durEQIgOGz16NIKDg3nH0Hp0mU6LvdiJga43E6Kb5s6dyzuCTqCWkRbr2rUrhEKh8gYoIUS33L59G6dPn+YdQydQMdJiJiYm6NixIxUjQnRUREQEpk2bxjuGTqDLdFpu5cqVsLa25h2DENIAsbGx1Cu2jqhlpOVGjx6NV199lXcMQkg9KRQK3Lhxg3rS1REVIy1XWlqKb775Bn///TfvKISQerh9+zaKi4upZVRHVIy0nL6+PlasWIGffvqJdxRCSD0UFBTA19cX/fr14x1FJ1Ax0nIikQjDhg1DVFQU7yiEkHp4+eWXcfHiRRgZGfGOohOoGOmAESNGID4+HikpKbyjEELqoKCgAPHx8WCM8Y6iM6gY6YChQ4dCX18fR44c4R2FEFIHBw4cQLdu3ZCTk8M7is6gYqQDLCws8Nlnn6Fz5868oxBC6iAqKgq+vr5o1aoV7yg6g54z0hGLFi3iHYEQUgelpaU4efIkVqxYwTuKTqGWkY5gjOHnn3/G5cuXeUchhNTg9OnTKC0tRVBQEO8oOoVaRjpCIBBgzZo16NSpE/r06cM7DiGkGkVFRRgwYAA8PDx4R9Ep1DLSIUFBQTh+/DhkMhnvKISQakyYMAFnz56FQCDgHUWnUDHSIUFBQcjPz8fFixd5RyGEVCErKwsZGRm8Y+gkKkY6pEePHnBwcMDhw4d5RyGEVOHbb79Fly5dIJfLeUfROXTPSIcIhUJ89NFHsLOz4x2FEPIfMpkMu3fvxqhRo6Cnp8c7js6hYqRj5s2bxzsCIaQKx44dQ3p6OmbOnMk7ik6iy3Q66Pbt2wgNDeUdgxDygs2bN8PHxwc9evTgHUUnUTHSQXfv3sUnn3yC+Ph43lEIIXh2ia5Vq1b44IMPeEfRWVSMdFBQUBAcHBywZcsW3lEIIXg2uv4PP/yACRMm8I6is6gY6SB9fX2899572LNnD4qKinjHIaRZKykpwZ49e/D06VPeUXQaFSMdNXXqVDx9+hR79uzhHYWQJiEjIwMSiaTe60VGRmLSpEl49OiRGlI1H1SMdJSjoyN27dqF4cOH845CSJMwc+ZMtG3bFuvWratXUdq8eTMCAgLw0ksvqTFd00fFSIeFhITA1dWVdwxCdF5RURESEhKQnZ2NDz/8sM5F6dq1a4iJiaHu3CpAxUjHRURE0LNHhDSShYUF7t69i4iICLi5udW5KG3evBmurq4IDAzUcOKmh4qRjpNIJNi0aRONh0VII+nr62Py5MlITEysc1EaMmQIVq9eTSMuqAAVIx339ttvw9TUFJ9//jnvKIQ0CfUpSm+99RZCQkI4J24aqBjpuBYtWmDhwoX4f//v/yE5OZl3nFpJpDLczijEjbR83M4ohETafKfDkEhlSC4oh4F9eyQXlDfrY6GNaipKbdq0Qbdu3XD//n3eMZsMAWOM8Q5RnaKiIlhaWqKwsBAWFha842gtiUQCd3d3vP/++1o51fG9x8XYeyUNZxOzkZZXghf/4AQAXKxM4Odhi2AfF7Rrbc4rpkbQsdBd5eXl2LNnD1avXq384teqVSt8/PHHmD59OkxNTTkn1E51PY9TMWoi0tLS4OzsrFUTeqXnlWDJwQT8cT8HekIB5Irq/9Sev/+yuw3WvN4ZzlYmGkyqfnQsmo7bt2+jc+fOaNmyJfLy8gAAtra2WLhwIRWlKtT1PE6X6ZoIFxcXCAQCJCQk8I4CANh3LQ3+68/j0sNcAKjx5Pvi+5ce5sJ//Xnsu5am9oyaQseiaVm5ciWcnJyQkpJS7953pHpUjJqQc+fOoUuXLvjjjz+45vj27D0sOpAAqUxR64n3v+QKBqlMgUUHEvDt2XtqSqg5dCyalszMTBw5cgQrV66Eubl5vXvfkerRZbomRKFQoFevXjAyMsKff/7J5ZLdvmtpWHRAda2zL0Z3xrheLirbnibRsWia0tPT4eDgUKk7d1X3lOjyHd0zarZOnTqFIUOG4PDhwwgKCtLovtPzSuC//jykMkW1yxTFRCE/eiv0bVzgMHVzrds0FAkRPf9VnbtvUtOxEMdHI/f4hgqvCY0toG/jAguf0TBx713lNnX1WDQVDx8+hJ2dHUxMaj7+1RWlrVu3YuTIkZqIqlXonlEz5e/vj4EDB2LJkiWQy+Ua3feSgwmQ1XIpShx/CgBQnpMGaUZirduUKRiWHNSO+2D1UZdjYf3aPNhN/Ap2E9fCOmA2BEIhnuz/DCX3rlS5vK4ei6aAMYaxY8ciODi41mWr6xLu4kKt2ppQMWpiBAIBPv/8c4wcORJlZWUa2++9x8X4435OjfdFpJn3UJ6dDOOXegEAxDdP1rpduYLhj/s5uJ9drLKs6laXYwEA+q1cYejYAYaOnjDx8EWrMZ8CevqQ3LlQ5fK6eCyaiv379yM2Nhbz58+v8zovFqXff/8d3bt3V2NC3aeRYrR582a4ubnByMgI3t7e3G+wN3W9evVCaGgojI2NNbbPvVfSoCes+R6VOP5Z8WkxYBIMHT0huXMBivLa54DREwrww2Xd6VFWl2NRFYHIAAI9EQTC6oeW0bVj0RSUlpZiyZIlCAwMxCuvvFLv9fX19TFkyBA1JGta1F6MIiMjMW/ePCxduhQ3btzAyy+/jMDAQKSl0QdK3davX6+xQVTPJmbX2BJQlEsh+fsCDOzbwaBVG5h2GQxWVoqSuxdr3bZcwXA2KVuVcdWqtmOhxBRgCjmYXAZZUQ7yo7eClUth2vHValfRtWPRFCxbtgzp6en4+uuveUdp0kTq3sHXX3+NKVOmYOrUqQCADRs24Pfff8eWLVsQFham7t03awYGBggPD8eIESMwaNAgte1HLJUhLa+kxmVKEi+CSSUw6/LsG6Kp58vIP70N4psnYda59mxpuSWQSGUwNVT7n2yj1OVYPJe1+38VX9DTh9Xg6TBu613jerpyLJqKwMBAeHp6okOHDryjNGlq/WsuKytDbGwsFi1aVOH1IUOG4NKlS5WWl0qlkEqlyt9pSu3GmTFjBvbv348pU6YgISEB5ubqGV4mNVeC2toB4psnIRAZwtTz2WUOoYExTDz6QZIQjfK8R9C3cqxxfQbgxMVYuLXQV01oNUkuKK/1WDxnPXwB9K2dAQCK0iKUJP2FvJNbwJgcFt4jql2PAUjJlcDLwbLxgUm1ysrKIBKJ1PpFri4uXbqEl19+GYMHD8aJEyeUr6ekpMDNzU35u5mZGVxcXDBgwADMmzcP7dq14xG3wdRajHJyciCXy9G6desKr7du3RpZWVmVlg8LC8PKlSvVGalZEQqF2LFjBzp37oyFCxdiy5YtatlPWQ1duQGgPD8D0vTbMPHwBcCgeCoGAJh2eFaMxPGn0HLAO7XuZ0LI2yjLTFJBYvUxsG8P+0l1u5yjb+0MQ/t/TxjGbb0hK8xGwdldMPPyg9DIrNp1azvmpPGWLFmCO3fu4OjRo1yH2dqxYwfmzJmD7du3Iy0trVKvvOjoaHh5eaGkpAQJCQkIDw9H165dceTIEe6FtD400s7/7z8kY6zKf9zFixdjwYIFyt+Liorg7Oys9nxNmZubG7744gucOHECMpkMIpHq/8kNRDXfenzWnZuhJPEiShIr3yOS3DqDFq9MrPHGPQD8+MNunWgZ/e9UToPXN7Btg6fJ11Ge9wiGDh7VL1fLMSeNc+nSJXz99df44osvuBYiiUSCn3/+GdeuXUNWVhZ27dqF5cuXV1jG2toadnZ2AIC2bdsqL8tPmTIFDx480Jm5ltRajGxsbKCnp1epFZSdnV2ptQQAhoaGMDQ0VGekZmnmzJmYOXOm2j5UbaxNIQCqvDzFFHJIEk5D1MIe1oFzKr1f+uAaiq4eROnD2Gof9gSejWgd0M9b6++TeEhl+PDU73W+VPdfZY+fPSQpNKn+EpwAz445UY/S0lK8++678PHxqfDlmIfIyEh4eHjAw8MDISEhmDNnDpYtW1bjZ1koFGLu3Ll4/fXXERsbi969q/9caRO1fr0yMDCAt7c3Tp06VeH1U6dOwdfXV527Ji8QCAQQCAQ4fvw4Pv30U5Vv39RQBJdqRgUofRgLuTgPZt2Gwsi1S6Ufiz5jAD39Wp85crE20fpCBNR8LP6r/EkqpI/uQvroLkruX0PO8XA8TbkB4/Z9od/Crtr1dOVY6Kply5YhNTUVO3fu5N6qiIiIUE7eFxAQALFYjNOnT9e63vPOFikpKeqMp1Jq/4tesGABJk6ciJ49e6Jv377YunUr0tLSMH36dHXvmvxHSkoKPvvsM7z66qsYOHCgSrft52GLPVdSK3VpFt88CeiJYNZlcJXr6ZlYwqR9X5QkXoRckg8905aVlxEK4NfeVqV51am6Y/FfLw4JJDA0hciyNVoOnArzHsOqXUfXjoUucnV1xZdffsm991xiYiKuXr2KAwcOAABEIhHGjRuHHTt2wN/fv8Z1n4/ypk1TytRG7cVo3LhxyM3NxWeffYbMzEx06tQJx48fh6urq7p3Tf5j+vTp2L9/PyZPnqzy3nXBPi7Y9VdKpddt3/ik1nVbjVxY4/tyBUNIH90ZSqW6Y/GcWRd/mHWp+WRSHV07Frrk+b3sOXMqX07mISIiAjKZDI6O//Y0ZYxBX18f+fn5Na57584dAKjQ207baeQu6MyZM5GSkgKpVIrY2NgGPcVMGk8oFCIiIgI5OTn44IMPoMoxctu1NsfL7jYNGnmgJnpCAV52t4G7re7MekrHQjfNmzev0mMovMhkMuzevRvr1q1DXFyc8ufmzZtwdXXF3r17q11XoVBg48aNcHNz06khiKhLTjPj5uaGzZs349KlSygoKFDptte83hkiFZ+ARUIB1rzeWaXb1AQ6FrolIiICGzdu1JrBTI8ePYr8/HxMmTIFnTp1qvAzZswYREREKJfNzc1FVlYWHj58iKioKPj7++Pq1auIiIjgfs+rPmgKiWbq6dOnMDIyUvl2aQ6ff9Gx0A0XL16En58fJk+ejC1btmjFfZYRI0ZAoVDg2LFjld67fv06vL29ERsbC2/vf0frMDExgaurK/z8/DB//ny4u7trMnK1aD4jUqt//vkHb7/9NrZt24aXXnpJZdv99uw9fHWy8Q+nfjTEA7P8tOMD1VB0LLTbP//8A29vb3To0AGnTp2CgYEB70hNDs1nRGplamqKf/75B0FBQY0eemn//v3KKStm+7XD56M7w1AkrPd9Ez2hAIYiIb4Y3blJnHzpWKiHTCbDzz//3Oj7ntbW1ggODsb+/fupEHFGxagZa9myJaKiovDPP/8gJCQECkXDhphZs2YN3nzzTYwdO1Y5od/4Xi6Inv8qfNtaA0CtJ+Ln7/u2tUb0/Feb1OUoOhaqxRjD22+/jXHjxmHZsmUNKkiMMSQnJ8PY2Bhff/01WrVqpYakpD6oGDVzHTp0wE8//YSjR4/ik09q74b9X2vWrMHSpUsBAL17965ww9TZygR7pvjg1LxXMNHHFa7WJvjvaVgAwNXaBBN9XBE9/xXsmeLTJKfVpmOhOgKBAD4+PgCA0NDQBhWkNWvWoEuXLnj8+LE6IpKGYFqssLCQAWCFhYW8ozR569evZz///HO91gkNDWV4NgoQCw0NrdM64qfl7NajAnY9NY/delTAxE/LGxK3SaBj0TgbNmxQ/v0tXbqUKRSKOq136NAhBoCtWLFCzQkJY3U/j1MxIhUoFAqWlZVV63INKUSEqFp9C1JCQgIzMzNjb7zxBpPL5RpK2bxRMSINEhYWxhwdHVlGRka1y1AhItqkrgVJoVCwnj17sq5duzKxWKzhlM0XFSPSII8ePWJOTk6sY8eOLDs7u9L7VIiINqprQbp//z5LSUnRcLrmjYoRabDExETWunVr1rVrV5abm6t8nQoR0WbVFaTCwkI2Z84cVlxczDlh80TFiDTKrVu3mI2NDVu8eDFjjAoR0Q3/LUhFRUWsX79+zNLSkiUkJPCO1yzV9TxOIzCQat2/fx+urq5Yu3atsvt2aGgolixZwjkZIdULDw/HvHnzADybDiInJwfR0dHo06cP32DNFI3AQBrN3d29QiFatmwZFSKi9ebOnYt169YBAFJTUzF69Gjlc0lEe1ExItV68YFWQ0NDnDx5UuUjfROiDgsWLEBQUBAAYM+ePQ0eqYFoDhUjUqUXC1FoaCguXryIpKQkDBw4ELm5uZzTEVK1goIC/PrrrwCAw4cPY8OGDQAaPlID0SAN3L9qMOrAwEd1nRVu3rzJWrVqxQYOHMgxHSFVy8nJYT169GDW1tYsLy9P+XpDR2ogqlHX87japx0nuuW/LaIX7xF16dIF58+fh1Qq5RWPkCqlpqZi+PDhePz4MU6fPo2WLVsq35s7dy6AZzO5hoaGAgBWrVqlFfMWkRdoqDg2CLWMNKs+3belUikbOXIkO3XqlIbSEVK169evMxsbG+bm5sb+/vvvapejFhIfdT2P0z0jAqDmFlFVpFIppFIpAgICsHHjRroWT7hp27YtXn/9dVy7dg2enp7VLjd37ly6h6TNNFIaG4haRprR0AdaZTIZ+9///scAsMmTJ7OnT5+qMSUh/yorK2MLFy5kDx48qPe61ELSLBqBgdSJKkZW+P7775mBgUG9p6AgpCGePHnC/Pz8mEgkavDfHBUkzaFiRGr15MkT1qpVK5UM8fPiN9RHjx41NhohVUpISGBubm7MxsaGnT9/vlHbel6QWrZsyf755x8VJST/Rb3pSK1sbGxw5swZREdHK4dPaai2bdsCAKKiojB+/Hjs3LkT48aNU0FKQp4pLS3F4MGDYWtrizNnzqBNmzaN2t7cuXNhYGAAHx8fODo6qiYkaTAam46oVGlpKaZNm4a9e/diyZIlWLVqFYRC6ifTlInFYmzevBn+/v7o0aOHyrfPGEN5eTkMDAxw6dIldOnSBWZmZirfD1EPGpuOcGFsbIw9e/bgiy++QFhYGAYOHIjs7GzesYgaffTRR/j444+xYsUKlW87LS0NQ4cOxbRp0wAAvr6+VIiaKCpGROUEAgEWLlyIM2fOwNLSEi1atOAdiajR/PnzIRQKceTIEcTGxqpkm4wxbNu2DZ06dcKdO3cwYcIElWyXaC8qRkRtBgwYgMOHD8PAwAA3b97E4MGD8eDBA96xiIq1b98ewcHBAICVK1c2ensymQyBgYF47733MHbsWNy6dQtDhw5t9HaJdqNiRDSitLQU9+/fR5cuXfDNN99AoVDwjkRU6JNPPml064gxBoVCAZFIhFdeeQW//fYbtm/fDktLSxWnJdqIihHRiD59+iAhIQHvvPMOPvjgA/j5+SEtLY13LKIijW0dpaamYsiQIdi4cSMAYMmSJQgICFBpRqLdqBgRjTEzM8OmTZtw+vRpSCQSGBgY8I5EVKghrSPGGLZu3YrOnTvj7t27NQ7nQ5o2KkZE4wYOHIhr167Bzs4Oubm5ePPNN3Hnzh3esUgj1bd1JJFIMGTIELz//vt0b4hQMSJ8PB++/59//kFsbCw6deqEqVOnIj09nXMy0hh1aR09n5zRxMQErVq1ontDBAAVI8JZ165dcefOHXz99dc4fPgw2rVrh23btvGORRqoptZRQUEBli5dChcXF5w9exYCgQA//vgj3RsiAKgYab2srCzMmTMHbdu2haGhIZydnTFixAicPn0aANCmTRsIBAIIBAIYGxujTZs2GDt2LM6cOcM5ed0ZGhpi7ty5ePDgARYtWoTOnTsDAB48eACJRMI5Hamv/7aOnj59iq+++govvfQS1q9fj7lz56J79+68Y9bLO++8o/ycCQQCWFtbIyAgAPHx8cplnt//8vHxgZmZGVq0aIGePXtiw4YNKCkp4ZheR6h7kLzGaO4DpSYnJzMHBwfWsWNH9ssvv7DExER269Yttm7dOubh4cEYY8zV1ZV99tlnLDMzk6WmprLz58+zadOmMYFAwFavXs35/6BxfH19mZ2dHduyZQsrKyvjHUflFAoFE4vFTCwWN7lRoydOnMgAsBEjRrCwsDCmp6fHpk+fzjIyMnhHa5BJkyaxgIAAlpmZyTIzM9mNGzfYsGHDmLOzs3KZ4OBgZmxszEJDQ9nVq1dZcnIyO3ToEBswYAA7ePAgv/Cc0ajdTUBgYCBzdHRkYrG40nv5+fmMsWfFaP369ZXeX758ORMKhezu3btqTqk+Dx8+ZCEhIUwgEDB3d3e2b98+JpfLecdSGbFYrJzGoKp/Y12lUCjYt99+ywQCAQPAzp07x5KSknjHapRJkyaxkSNHVnjtwoULDADLzs5mkZGRDAA7dOhQpXUVCgUrKCjQUFLtQzO96ri8vDycOHECs2bNgqmpaaX3axtiZ+7cuWCM4fDhw2pKqH5ubm7Ys2cP4uLi4OHhgTlz5igvd8jlcs7pyH9JpVLs3bsXPj4+mD17NpycnAAA69atQ7t27TinUy2xWIy9e/fC3d0d1tbW2Lt3Lzw8PDBy5MhKywoEAuqcUQdUjLTU/fv3wRhDhw4dGrS+lZUVbG1tkZKSotpgHHTp0gVHjx7FrVu3YGZmhqysLDg5OeGjjz6i4YW0RG5uLpydnRESEgJzc3NER0cjOjpa5WPW8XT06FGYmZnBzMwM5ubmiIqKQmRkJIRCIe7duwcPDw/eEXUaFSMtxf5vZo/nXaAbuo3GrK9tbG1tATw7JiEhIdixYwfc3d0RGBiIY8eOcU7XvCgUCvz222+YOXMmGGOwtrbG4sWLcefOHZw+fRqDBg1S+Zh1vPn5+SEuLg5xcXG4cuUKhgwZgsDAQKSmpja5zxoPVIy0VLt27SAQCBr8MGhubi6ePHkCNzc3FSfjr3Xr1li7di3++ecf7Ny5E7m5ufj+++8BAGVlZTRlhRrl5uZi7dq1aNeuHV577TX89ddfePLkCYBno3f/tyWvijHrtIWpqSnc3d3h7u6O3r17IyIiAhKJBNu2bUP79u3pwe1GomKkpaysrDB06FBs2rSpyu7NBQUFNa4fHh4OoVCIUaNGqSegFjA2NsY777yDq1evYteuXQCAAwcOwMnJCcHBwfjzzz9pQFYVeN5KZ4yhb9+++OSTT9CvXz/89ddfuH79urLFWpWm1jp6kUAggFAoRGlpKSZMmICkpKQq79EyxlBYWMghoY5Rbz+KxmnuvekePnzI7OzsWMeOHdn+/ftZUlIS+/vvv1l4eDjr0KEDY6xi1+60tLQKXbs///xzzv8Hmpebm8vWrVvH3N3dGQBmZ2fHwsPDeceqkjb3pnv69Cn77bff2IwZM5iTkxN7+PAhY4yxixcvsuzs7HptKzExkQmFQgaAxcTEqCOu2v23a/fff//NZs6cyQQCATt79ixTKBRs3LhxzNjYmK1Zs4Zdu3aNpaSksCNHjrCBAwdS127q2q37MjIy2KxZs5irqyszMDBgjo6OLCgoiJ09e5Yx9qwYPT+hGRgYMBcXFzZ27Fh25swZvsE5k8vl7Pz58+x///sf++mnnxhjjJ0/f54FBQWx7du3s6ysLM4JtbcYTZ06lZmZmTEAzM3Njc2bN4+lpqY2apsvPnekiyZNmqT8twLAzM3NWa9evdj+/fuVy8jlcrZlyxbWq1cvZmJiwiwsLJi3tzcLDw9nJSUlHNPzVdfzuICx/2uDa6G6zp1OSF2cPn0an376KS5dugQA8PHxwfTp0zFp0iQueSQSiXIKbbFYXGUXfnVijCExMRFRUVE4duwYDh06hJYtW2L16tXQ09NDUFAQOnbsqJIb80lJSfD09IRCoUBMTAy8vb1V8H9AdEFdz+N0z4g0G4MGDcKff/6Jx48fY+fOnXBwcEBWVhYA4O7du3j//fexdetWxMbGoqysjHNa1Xvx2ayPP/4YHh4e8PT0xIoVK9CyZUvk5+cDeNbpYPHixfDy8lJZD7GmfO+IqAa1jAgBcOLECSxcuBC3b9+GQqGAvr4+3njjDfz0009gjCEuLg5eXl4qnYNJnS0juVyO+Ph4xMbGKn+SkpLw5MkT6OvrY/LkyRCJRAgKCsKgQYNgbGyssn1Xh1pHzVNdz+NUjAh5QUlJCW7evInY2FgYGRkpp7VwcXGBvr4+OnfuDG9vb/Ts2RPTpk2DQCBAaWkpjIyM6t2KaGwxYoyhuLgYmZmZyMjIwIMHDyCXy/H++++joKAALVu2hFAohKenJ7y9veHt7Y2pU6fCxMSkXvtRpbfffht79uzBiBEjEBUVxS0H0RwqRoSoSFlZGa5fv47Y2FjExMQgNjYWjx49Us7L4+XlhZSUFNjb28Pe3h4ODg5YtGgRunfvjrt37+Kff/6Bg4MDLCwsIBKJYGpqCnNzcxQXFyv/rh8/fgxDQ0OUl5dDJpPBxsYGIpEIcXFxuHXrFjIyMpCZmYnMzEyMHj0aY8eOxcGDBzF69GhlTqFQCH9/f/z+++8AgGvXrqFjx44avxdVk6SkJAwePBgLFy7EzJkz6UHRZqCu53GRBjMRopMMDAzQp08f9OnTR/nai/eUQkNDkZycrCwWGRkZyuebvv/+e3z++ecVtvfuu+9ix44dSExMVL7WunXrCsvcuXMHHTp0QHh4OHbt2gULCws4ODjA3t4eMpkMANC7d2/89NNPytcdHR0rtHp69eqluoOgIu3bt8fDhw+hp6fHOwrRMtQyIkSNSktLlQVKIpGgvLwcjo6O6N69Ox49eqQcTHTnzp0wMzODSCSCSCTCq6++CnNzc+Tn58PQ0JDrpTVCGoMu0xGi5Xh37SZEE6hrNyGEEJ1BxYgQQgh3VIwIIYRwR8WIEEIId2otRqGhofD19YWJiUmt02QTQghpvtRajMrKyvDmm29ixowZ6twNIYQQHafWh16fD4j4fOIzQgghpCp0z4gQQgh3WjUckFQqhVQqVf5eVFTEMQ0hhBBNqXfLaMWKFRAIBDX+xMTENChMWFgYLC0tlT/Ozs4N2g4hhBDdUu/hgHJycpCTk1PjMm3atIGRkZHy9127dmHevHkoKCiocb2qWkbOzs40HBBpkmg4INIcqG3UbhsbG9jY2DQqXHUMDQ1haGiolm0Tom1MTEwgFouV/01Ic6bWDgxpaWmIi4tDWloa5HI54uLiEBcXp/wAEtKcCQQCmJqawtTUtNnP63Pp0iXo6ekhICCg0ntlZWX48ssv0bVrV5iYmMDGxgb9+vXDzp07UV5eziEtUQe1dmBYvnw5vv/+e+Xv3bt3BwCcPXsWAwYMUOeuCSE6ZMeOHZgzZw62b9+OtLQ0uLi4AHhWiIYOHYqbN29i1apV6NevHywsLHD58mV89dVX6N69O7p168Y3PFEJmkKCEMKVRCKBvb09rl27hk8//RQdO3bE8uXLAQBffvklFi9ejJiYGOWX2efKy8tRVlZG99q0HE0hQQjRCZGRkfDw8ICHhwdCQkKwc+dOPP+OvHfvXvj7+1cqRACgr69PhagJoWJECOEqIiICISEhAICAgACIxWKcPn0aAHDv3j106NCBZzyiIVSMCCHcJCYm4urVqxg/fjwAQCQSYdy4cdixYwcAgDHW7Dt3NBdaNQIDIaR5iYiIgEwmg6Ojo/I1xhj09fWRn5+P9u3b486dOxwTEk2hlhEhhAuZTIbdu3dj3bp1ysc+4uLicPPmTbi6umLv3r2YMGECoqOjcePGjSrXl0gkHJITdaCWESGEi6NHjyI/Px9TpkyBpaVlhffGjBmDiIgIXL58GceOHcOgQYOwatUq9O/fH+bm5oiJicEXX3yBiIgI6trdRFDXbkIIFyNGjIBCocCxY8cqvXf9+nV4e3sjNjYWXl5eWL9+PX788Ufcu3cPJiYm8PT0xLRp0xAcHAyRiL5Ta7O6nsepGBFCCFEbes6IEEKIzqBiRAghhDsqRoQQQrijYkQIIYQ7KkaEEEK4o2JECCGEOypGhGhIdRPIpaSkQCAQKH8MDAzg7u6O1atXQ4ufvCBEpehpMUI0pLoJ5J6Ljo6Gl5cXpFIp/vzzT0ydOhX29vaYMmUKp8SEaA61jAjRAIlEgp9//hkzZszA8OHDsWvXrkrLWFtbw87ODq6urggODoavry+uX7+u+bCEcEDFiBANqGkCuarExMTg+vXr8PHx0WBKQvihYkSIBtQ0gdxzvr6+MDMzg4GBAXr16oWxY8fi7bff5hGXEI2jYkSImtU2gdxzkZGRyikUIiMjcfjwYSxatIhHZEI0jjowEKJmtU0g95yzszPc3d0BAJ6ennj48CGWLVuGFStWwMjISOO5CdEkahkRokZ1mUCuOnp6epDJZCgrK9NgYkL4oJYRIWpUlwnkhg8fDgDIzc1FVlYWZDIZEhISEB4eDj8/P5o+hTQLVIwIUaOIiAj4+/tXKkQA8MYbb2DNmjXIy8sDAPj7+wN41iKyt7fHa6+9htDQUI3mJYQXmlyPEEKI2tDkeoQQQnQGFSNCCCHcUTEihBDCHRUjQggh3FExIoQQwh0VI0IIIdxRMSKEEMIdFSNCCCHcUTEihBDCHRUjQggh3FExIoQQwh0VI0IIIdxRMSKEEMIdFSNCCCHcUTEihBDCHRUjQggh3FExIoQQwh0VI0IIIdyJeAeoyfMZ0YuKijgnIYQQ0hDPz9/Pz+fV0epiVFxcDABwdnbmnIQQQkhjFBcXw9LSstr3Bay2csWRQqFARkYGzM3NIRAIeMdplKKiIjg7OyM9PR0WFha843BFx+JfdCz+RcfiX03pWDDGUFxcDAcHBwiF1d8Z0uqWkVAohJOTE+8YKmVhYaHzf1yqQsfiX3Qs/kXH4l9N5VjU1CJ6jjowEEII4Y6KESGEEO6oGGmIoaEhPv30UxgaGvKOwh0di3/RsfgXHYt/NcdjodUdGAghhDQP1DIihBDCHRUjQggh3FExIoQQwh0VI0IIIdxRMeIgNDQUvr6+MDExQYsWLXjH0ajNmzfDzc0NRkZG8Pb2xh9//ME7EhcXLlzAiBEj4ODgAIFAgEOHDvGOxE1YWBh69eoFc3Nz2NraYtSoUUhMTOQdi4stW7agS5cuyodd+/bti99++413LI2gYsRBWVkZ3nzzTcyYMYN3FI2KjIzEvHnzsHTpUty4cQMvv/wyAgMDkZaWxjuaxkkkEnTt2hXffvst7yjcnT9/HrNmzcLly5dx6tQpyGQyDBkyBBKJhHc0jXNycsLnn3+OmJgYxMTEYODAgRg5ciRu377NO5raUddujnbt2oV58+ahoKCAdxSN8PHxQY8ePbBlyxbla56enhg1ahTCwsI4JuNLIBDg4MGDGDVqFO8oWuHJkyewtbXF+fPn8corr/COw52VlRXWrl2LKVOm8I6iVtQyIhpRVlaG2NhYDBkypMLrQ4YMwaVLlzilItqosLAQwLOTcHMml8uxb98+SCQS9O3bl3cctdPqgVJJ05GTkwO5XI7WrVtXeL1169bIysrilIpoG8YYFixYgP79+6NTp06843CRkJCAvn374unTpzAzM8PBgwfRsWNH3rHUjlpGKrJixQoIBIIaf2JiYnjH5O6/U4EwxnR+ehCiOrNnz0Z8fDx++ukn3lG48fDwQFxcHC5fvowZM2Zg0qRJ+Pvvv3nHUjtqGanI7NmzMX78+BqXadOmjWbCaCEbGxvo6elVagVlZ2dXai2R5mnOnDmIiorChQsXmtzUMfVhYGAAd3d3AEDPnj1x7do1hIeH47vvvuOcTL2oGKmIjY0NbGxseMfQWgYGBvD29sapU6fw+uuvK18/deoURo4cyTEZ4Y0xhjlz5uDgwYM4d+4c3NzceEfSKowxSKVS3jHUjooRB2lpacjLy0NaWhrkcjni4uIAAO7u7jAzM+MbTo0WLFiAiRMnomfPnujbty+2bt2KtLQ0TJ8+nXc0jROLxbh//77y9+TkZMTFxcHKygouLi4ck2nerFmz8OOPP+Lw4cMwNzdXtp4tLS1hbGzMOZ1mLVmyBIGBgXB2dkZxcTH27duHc+fO4cSJE7yjqR8jGjdp0iQGoNLP2bNneUdTu02bNjFXV1dmYGDAevTowc6fP887Ehdnz56t8m9g0qRJvKNpXFXHAQDbuXMn72gaN3nyZOXno1WrVmzQoEHs5MmTvGNpBD1nRAghhDvqTUcIIYQ7KkaEEEK4o2JECCGEOypGhBBCuKNiRAghhDsqRoQQQrijYkQIIYQ7KkaEEEK4o2JECCGEOypGhBBCuKNiRAghhDsqRoQQQrj7/6r/tFRniuzcAAAAAElFTkSuQmCC", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Super simple graph \n", + "G = EmbeddedGraph()\n", + "G.add_node('A', 0,0)\n", + "G.add_node('B', 1,0)\n", + "G.add_node('C', 2,1)\n", + "G.add_node('D', 1,2)\n", + "G.add_edge('A', 'B')\n", + "G.add_edge('B', 'D')\n", + "G.add_edge('D', 'C')\n", + "\n", + "G.plot(angle_labels_circle=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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    " ] @@ -62,6 +102,7 @@ "G = create_example_graph(centered=True)\n", "G.rescale_to_unit_disk()\n", "\n", + "\n", "fig, ax = plt.subplots()\n", "G.plot(ax = ax, angle_labels_circle=True)" ] @@ -75,7 +116,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -93,10 +134,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, @@ -131,7 +172,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -139,18 +180,17 @@ "text/plain": [ "{-0.7853981633974483: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", " -0.6747409422235526: [('A', 'C')],\n", - " -0.4636476090008061: [('A', 'D')],\n", + " -0.4636476090008061: [('A', 'D'), ('F', 'C')],\n", " -1.2490457723982544: [('A', 'E')],\n", " -0.5880026035475675: [('B', 'C')],\n", " 0.0: [('B', 'D'), ('E', 'F')],\n", " -2.356194490192345: [('B', 'E'), ('D', 'F')],\n", " 2.0344439357957027: [('C', 'D')],\n", " 2.896613990462929: [('C', 'E')],\n", - " 2.677945044588987: [('C', 'F')],\n", " -2.819842099193151: [('D', 'E')]}" ] }, - "execution_count": 7, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } diff --git a/docs/searchindex.js b/docs/searchindex.js index 3290bc3..21be2ec 100644 --- a/docs/searchindex.js +++ b/docs/searchindex.js @@ -1 +1 @@ -Search.setIndex({"alltitles": {"Acknowledgements": [[10, "Acknowledgements"]], "Authors": [[5, "authors"]], "Citing": [[0, "citing"]], "Code style and formatting": [[1, "code-style-and-formatting"]], "Computing the ECT of G": [[12, "Computing-the-ECT-of-G"]], "Conclusion": [[1, "conclusion"]], "Constructing the embedded graph": [[12, "Constructing-the-embedded-graph"]], "Contact Information": [[5, "contact-information"]], "Contents:": [[5, null], [14, null]], "Contributing Guidelines": [[1, "contributing-guidelines"]], "Contributing to the ect Package": [[1, "contributing-to-the-ect-package"]], "Dependencies": [[5, "dependencies"]], "Description": [[5, "description"]], "Documentation and tutorials": [[5, "documentation-and-tutorials"]], "Documentation guidelines": [[1, "documentation-guidelines"]], "ECC in one direction": [[9, "ECC-in-one-direction"]], "ECT": [[9, "ECT"]], "ECT on Graphs": [[2, "module-ect.ect_graph"]], "ECT on Matisse\u2019s \u201cThe Parakeet and the Mermaid\u201d": [[10, "ECT-on-Matisse's-%22The-Parakeet-and-the-Mermaid%22"]], "Embedded CW complex": [[3, "module-ect.embed_cw"]], "Embedded graphs": [[4, "module-ect.embed_graph"]], "Erik\u2019s version": [[9, "Erik's-version"]], "Figure generation for Invitation to the ECT": [[9, "Figure-generation-for-Invitation-to-the-ECT"]], "GPL-3.0 License": [[7, "gpl-3-0-license"]], "Getting Started": [[1, "getting-started"], [5, "getting-started"]], "Installation": [[6, "installation"]], "Installing": [[5, "installing"]], "Installing ect": [[6, "installing-ect"]], "Issue tracking and pull requests": [[1, "issue-tracking-and-pull-requests"]], "Let\u2019s draw a cylinder!": [[9, "Let's-draw-a-cylinder!"]], "License": [[5, "license"]], "Making pictures": [[9, "Making-pictures"]], "Prerequisites": [[6, "prerequisites"]], "SECT": [[9, "SECT"], [12, "SECT"]], "Table of Contents": [[5, "table-of-contents"], [8, "table-of-contents"]], "Testing guidelines": [[1, "testing-guidelines"]], "Thresholded Figure": [[9, "Thresholded-Figure"]], "Trying Erik\u2019s stuff": [[9, "Trying-Erik's-stuff"]], "Tutorial : ECT for embedded graphs": [[12, "Tutorial-:-ECT-for-embedded-graphs"]], "Tutorial for exact ECT computation": [[13, "Tutorial-for-exact-ECT-computation"]], "Tutorial: ECT for CW complexes": [[11, "Tutorial:-ECT-for-CW-complexes"]], "Tutorials": [[14, "tutorials"]], "Uninstalling ect": [[6, "uninstalling-ect"]], "ect: Euler Characteristic Transform in Python": [[5, "ect-euler-characteristic-transform-in-python"]]}, "docnames": ["citing", "contributing", "ect_on_graphs", "embed_cw", "embed_graph", "index", "installation", "license", "modules", "notebooks/CodingFiguresFern", "notebooks/Matisse/Matisse_ECT", "notebooks/Tutorial-ECT_for_CW_Complexes", "notebooks/Tutorial-ECT_for_embedded_graphs", "notebooks/Tutorial-ExactECT", "tutorials"], "envversion": {"nbsphinx": 4, "sphinx": 61, "sphinx.domains.c": 3, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 9, "sphinx.domains.index": 1, "sphinx.domains.javascript": 3, "sphinx.domains.math": 2, "sphinx.domains.python": 4, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.intersphinx": 1, "sphinx.ext.todo": 2, "sphinx.ext.viewcode": 1}, "filenames": ["citing.rst", "contributing.rst", "ect_on_graphs.md", "embed_cw.md", "embed_graph.md", "index.rst", "installation.rst", "license.md", "modules.rst", "notebooks/CodingFiguresFern.ipynb", "notebooks/Matisse/Matisse_ECT.ipynb", "notebooks/Tutorial-ECT_for_CW_Complexes.ipynb", 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Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order. Parameters: returntype (str): The return type of the angles. Options are 'matrix' or 'dict'. If 'matrix', returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If 'dict', returns a dictionary of angles with `dict['A','B']` returning the angle normal to the vector :math:`\\overrightarrow{AB}`. + rounding_digits (int): + The number of digits to round the angles in either the matrix or the keys of the dictionary. Returns: list: A list of angles of the vertices in the graph. @@ -482,18 +484,25 @@ def get_all_angles(self, returntype='matrix'): np.fill_diagonal(Y_diff, np.nan) angle_matrix = np.arctan2(X_diff, -Y_diff) + if num_rounding_digits != None: + angle_matrix = np.round(angle_matrix, num_rounding_digits) + if returntype == 'matrix': return angle_matrix, labels + elif returntype == 'dict': angle_dict = {} for i in range(len(labels)): for j in range(i+1, len(labels)): - if angle_matrix[i, j] not in angle_dict.keys(): - angle_dict[angle_matrix[i, j]] = [ - (labels[i], labels[j])] - else: + if angle_matrix[i, j] in angle_dict.keys(): angle_dict[angle_matrix[i, j]].append( (labels[i], labels[j])) + elif angle_matrix[j, i] in angle_dict.keys(): + angle_dict[angle_matrix[j, i]].append( + (labels[j], labels[i])) + else: + angle_dict[angle_matrix[i, j]] = [ + (labels[i], labels[j])] return angle_dict def plot(self, @@ -553,7 +562,6 @@ def plot(self, # Always adjust the plot limits to show the full graph ax.set_xlim(circle_center[0] - r, circle_center[0] + r) ax.set_ylim(circle_center[1] - r, circle_center[1] + r) - ax.set_aspect('equal', 'box') if angle_labels_circle: circle_center = self.get_center(type='min_max') @@ -570,17 +578,23 @@ def plot(self, # Draw hash marks on the circle hash_length = 0.1*r # Length of the hash marks for theta in angles_dict_labels.keys(): - for angle in [theta, -theta]: - x_start = (r-hash_length) * np.cos(angle) - y_start = (r-hash_length) * np.sin(angle) - x_end = (r + hash_length) * np.cos(angle) - y_end = (r + hash_length) * np.sin(angle) + for angle in [theta, theta + np.pi]: + x_start = circle_center[0] + \ + (r-hash_length) * np.cos(angle) + y_start = circle_center[1] + \ + (r-hash_length) * np.sin(angle) + x_end = circle_center[0] + \ + (r + hash_length) * np.cos(angle) + y_end = circle_center[1] + \ + (r + hash_length) * np.sin(angle) ax.plot([x_start, x_end], [y_start, y_end], color='black') # Add labels near the hash marks scaling = 3 - label_x = (r + scaling * hash_length) * np.cos(angle) - label_y = (r + scaling * hash_length) * np.sin(angle) + label_x = circle_center[0] + \ + (r + scaling * hash_length) * np.cos(angle) + label_y = circle_center[1] + \ + (r + scaling * hash_length) * np.sin(angle) ax.text(label_x, label_y, angles_dict_labels[theta], ha='center', va='center') # Always adjust the plot limits to show the full graph @@ -589,6 +603,7 @@ def plot(self, circle_center[0] + scale_factor*r) ax.set_ylim(circle_center[1] - scale_factor*r, circle_center[1] + scale_factor*r) + ax.set_aspect('equal', 'box') return ax From 3236a4ab7716da17d14d223aa361a82c273155db Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Tue, 21 Jan 2025 14:53:20 -0500 Subject: [PATCH 12/14] Rotated the text, generally cleaned up some things with the angle list. --- doc_source/notebooks/Tutorial-ExactECT.ipynb | 84 +- docs/.buildinfo | 2 +- .../notebooks_Playing_with_Spirals_10_0.png | Bin 0 -> 26020 bytes 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a/doc_source/notebooks/Tutorial-ExactECT.ipynb +++ b/doc_source/notebooks/Tutorial-ExactECT.ipynb @@ -49,7 +49,7 @@ }, { "data": { - "image/png": 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", + "image/png": 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", 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", 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", 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    " ] @@ -123,18 +123,18 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[ nan -0.78539816 -0.67474094 -0.46364761 -1.24904577 -0.78539816]\n", - " [ 2.35619449 nan -0.5880026 0. -2.35619449 -0.78539816]\n", - " [ 2.46685171 2.55359005 nan 2.03444394 2.89661399 2.67794504]\n", - " [ 2.67794504 3.14159265 -1.10714872 nan -2.8198421 -2.35619449]\n", - " [ 1.89254688 0.78539816 -0.24497866 0.32175055 nan 0. ]\n", - " [ 2.35619449 2.35619449 -0.46364761 0.78539816 3.14159265 nan]]\n" + "[[ nan 5.49778714 5.60844436 5.8195377 5.03413953 5.49778714]\n", + " [2.35619449 nan 5.6951827 0. 3.92699082 5.49778714]\n", + " [2.46685171 2.55359005 nan 2.03444394 2.89661399 2.67794504]\n", + " [2.67794504 3.14159265 5.17603659 nan 3.46334321 3.92699082]\n", + " [1.89254688 0.78539816 6.03820664 0.32175055 nan 0. ]\n", + " [2.35619449 2.35619449 5.8195377 0.78539816 3.14159265 nan]]\n" ] }, { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -143,7 +143,7 @@ }, { "data": { 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", + "image/png": 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", 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    " ] @@ -178,16 +178,16 @@ { "data": { "text/plain": [ - "{-0.7853981633974483: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", - " -0.6747409422235526: [('A', 'C')],\n", - " -0.4636476090008061: [('A', 'D'), ('F', 'C')],\n", - " -1.2490457723982544: [('A', 'E')],\n", - " -0.5880026035475675: [('B', 'C')],\n", + "{5.497787143782138: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " 5.608444364956034: [('A', 'C')],\n", + " 5.81953769817878: [('A', 'D'), ('F', 'C')],\n", + " 5.034139534781332: [('A', 'E')],\n", + " 5.695182703632018: [('B', 'C')],\n", " 0.0: [('B', 'D'), ('E', 'F')],\n", - " -2.356194490192345: [('B', 'E'), ('D', 'F')],\n", + " 3.9269908169872414: [('B', 'E'), ('D', 'F')],\n", " 2.0344439357957027: [('C', 'D')],\n", " 2.896613990462929: [('C', 'E')],\n", - " -2.819842099193151: [('D', 'E')]}" + " 3.4633432079864352: [('D', 'E')]}" ] }, "execution_count": 5, @@ -199,6 +199,54 @@ "angles_dict = G.get_all_angles(returntype='dict')\n", "angles_dict" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also get it to return the dictionary with rounded values, as well as to have it include all the opposite angles. " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{5.5: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " 5.61: [('A', 'C')],\n", + " 5.82: [('A', 'D'), ('F', 'C')],\n", + " 5.03: [('A', 'E')],\n", + " 5.7: [('B', 'C')],\n", + " 0.0: [('B', 'D'), ('E', 'F')],\n", + " 3.93: [('B', 'E'), ('D', 'F')],\n", + " 2.03: [('C', 'D')],\n", + " 2.9: [('C', 'E')],\n", + " 3.46: [('D', 'E')],\n", + " 8.64: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " 8.75: [('A', 'C')],\n", + " 8.96: [('A', 'D'), ('F', 'C')],\n", + " 8.17: [('A', 'E')],\n", + " 8.84: [('B', 'C')],\n", + " 3.14: [('B', 'D'), ('E', 'F')],\n", + " 7.07: [('B', 'E'), ('D', 'F')],\n", + " 5.17: [('C', 'D')],\n", + " 6.04: [('C', 'E')],\n", + " 6.6: [('D', 'E')]}" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "G.get_all_angles(returntype='dict', \n", + " opposites = True, \n", + " num_rounding_digits=2)" + ] } ], "metadata": { @@ -217,7 +265,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.7" + "version": "3.11.7" } }, "nbformat": 4, diff --git a/docs/.buildinfo b/docs/.buildinfo index 7f1a166..c328c0c 100644 --- a/docs/.buildinfo +++ b/docs/.buildinfo @@ -1,4 +1,4 @@ # Sphinx build info version 1 # This file hashes the configuration used when building these files. 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    Source code for ect.embed_graph

     
     
    [docs] - def get_all_angles(self, returntype='matrix', num_rounding_digits=None): + def get_all_angles(self, returntype='matrix', + num_rounding_digits=None, + edges_only=False, + opposites=False): """ Function to get all angles of normals to any line between veritces in the graph. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order. @@ -655,6 +660,10 @@

    Source code for ect.embed_graph

                     The return type of the angles. Options are 'matrix' or 'dict'. If 'matrix', returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If 'dict', returns a dictionary of angles with `dict['A','B']` returning the angle normal to the vector :math:`\\overrightarrow{AB}`.
                 rounding_digits (int):
                     The number of digits to round the angles in either the matrix or the keys of the dictionary. 
    +            edges_only (bool):
    +                If True, the dictionary version only returns the angle of the normals to the lines between vertices sharing an edge. The matrix version is unchanged.
    +            opposites (bool):
    +                If True, will also include the opposite angle in the dictionary.
     
             Returns:
                 list: A list of angles of the vertices in the graph.
    @@ -680,6 +689,8 @@ 

    Source code for ect.embed_graph

             np.fill_diagonal(Y_diff, np.nan)
     
             angle_matrix = np.arctan2(X_diff, -Y_diff)
    +        # Puts all entries between 0 and 2pi
    +        angle_matrix = angle_matrix % (2*np.pi)
             if num_rounding_digits != None:
                 angle_matrix = np.round(angle_matrix, num_rounding_digits)
     
    @@ -690,6 +701,8 @@ 

    Source code for ect.embed_graph

                 angle_dict = {}
                 for i in range(len(labels)):
                     for j in range(i+1, len(labels)):
    +                    if edges_only and not self.has_edge(labels[i], labels[j]):
    +                        continue
                         if angle_matrix[i, j] in angle_dict.keys():
                             angle_dict[angle_matrix[i, j]].append(
                                 (labels[i], labels[j]))
    @@ -699,6 +712,13 @@ 

    Source code for ect.embed_graph

                         else:
                             angle_dict[angle_matrix[i, j]] = [
                                 (labels[i], labels[j])]
    +
    +            if opposites:
    +                for key in list(angle_dict.keys()):
    +                    other_key = key + np.pi % (2*np.pi)
    +                    if num_rounding_digits != None:
    +                        other_key = round(other_key, num_rounding_digits)
    +                    angle_dict[other_key] = angle_dict[key]
                 return angle_dict
    @@ -711,6 +731,7 @@

    Source code for ect.embed_graph

                  ax=None,
                  with_labels=True,
                  angle_labels_circle=False,
    +             edges_only=False,
                  **kwargs):
             """
             Function to plot the graph with the embedded coordinates.
    @@ -723,7 +744,7 @@ 

    Source code for ect.embed_graph

     
             If ``ax`` is not None, the plot is drawn on the given axis.
     
    -        If `angle_labels_circle` is True, the angles of the normals to the lines between vertices are plotted on a slightly larger circle circle around the graph.
    +        If `angle_labels_circle` is True, the angles of the normals to the lines between vertices are plotted on a slightly larger circle circle around the graph. If additionally, `edges_only` is True, only hash marks for pairs of vertices sharing an edge are plotted. 
     
             """
             if ax is None:
    @@ -770,14 +791,15 @@ 

    Source code for ect.embed_graph

                 ax.add_patch(circle)
     
                 # Get all the angles with the labels to be drawn
    -            angles_dict = self.get_all_angles(returntype='dict')
    +            angles_dict = self.get_all_angles(
    +                returntype='dict', edges_only=edges_only)
                 angles_dict_labels = {key: ', '.join(
                     [f"{a[0]}{a[1]}" for a in value]) for key, value in angles_dict.items()}
     
                 # Draw hash marks on the circle
                 hash_length = 0.1*r  # Length of the hash marks
                 for theta in angles_dict_labels.keys():
    -                for angle in [theta, theta + np.pi]:
    +                for angle in [theta, (theta + np.pi) % (2*np.pi)]:
                         x_start = circle_center[0] + \
                             (r-hash_length) * np.cos(angle)
                         y_start = circle_center[1] + \
    @@ -794,8 +816,9 @@ 

    Source code for ect.embed_graph

                             (r + scaling * hash_length) * np.cos(angle)
                         label_y = circle_center[1] + \
                             (r + scaling * hash_length) * np.sin(angle)
    +                    text_angle = angle if angle <= np.pi/2 or angle >= 3*np.pi/2 else angle - np.pi
                         ax.text(label_x, label_y,
    -                            angles_dict_labels[theta], ha='center', va='center')
    +                            angles_dict_labels[theta], ha='center', va='center', rotation=np.degrees(text_angle), fontsize=8)
                 # Always adjust the plot limits to show the full graph
                 scale_factor = 1.5
                 ax.set_xlim(circle_center[0] - scale_factor*r,
    diff --git a/docs/_modules/index.html b/docs/_modules/index.html
    index b82492b..62481c9 100644
    --- a/docs/_modules/index.html
    +++ b/docs/_modules/index.html
    @@ -1,23 +1,25 @@
    -
    -
     
     
     
       
       
       Overview: module code — ect 0.1.5 documentation
    -      
    -      
    +      
    +      
           
     
       
         
    -      
    -      
    -      
    -      
    -      
    -      
    +  
    +  
    +        
    +        
    +        
    +        
    +        
    +        
         
         
          
    diff --git a/docs/_sources/notebooks/Playing_with_Spirals.ipynb.txt b/docs/_sources/notebooks/Playing_with_Spirals.ipynb.txt
    new file mode 100644
    index 0000000..cf1167c
    --- /dev/null
    +++ b/docs/_sources/notebooks/Playing_with_Spirals.ipynb.txt
    @@ -0,0 +1,1223 @@
    +{
    + "cells": [
    +  {
    +   "cell_type": "code",
    +   "execution_count": 1,
    +   "metadata": {},
    +   "outputs": [],
    +   "source": [
    +    "from ect import ECT, EmbeddedGraph, EmbeddedCW,create_example_graph\n",
    +    "\n",
    +    "import matplotlib.pyplot as plt\n",
    +    "from matplotlib.patches import Circle\n",
    +    "import numpy as np\n",
    +    "import networkx as nx\n",
    +    "import pandas as pd"
    +   ]
    +  },
    +  {
    +   "cell_type": "code",
    +   "execution_count": 2,
    +   "metadata": {},
    +   "outputs": [
    +    {
    +     "data": {
    +      "text/plain": [
    +       ""
    +      ]
    +     },
    +     "execution_count": 2,
    +     "metadata": {},
    +     "output_type": "execute_result"
    +    },
    +    {
    +     "data": {
    +      "image/png": 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",
    +      "text/plain": [
    +       "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Recreating the sprial example from Arya \n", + "\n", + "# Create the graph\n", + "Spiral = EmbeddedGraph()\n", + "Spiral.add_node('a', .5, 0)\n", + "Spiral.add_node('b', 1, 1)\n", + "Spiral.add_node('c', -1.5, -.5)\n", + "Spiral.add_node('d', 3, -2.5)\n", + "Spiral.add_node('e',1.5,2)\n", + "Spiral.add_node('f',-1.5,2)\n", + "Spiral.add_node('g', -3,-3)\n", + "\n", + "nodelist = list(Spiral.nodes())\n", + "nodelist.sort()\n", + "for i in range(len(nodelist)-1):\n", + " Spiral.add_edge(nodelist[i], nodelist[i+1])\n", + "\n", + "Spiral.plot(angle_labels_circle=True, edges_only=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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    AngleSwapped VertsSorted list
    100.00[(c, f)]fgcabed
    120.32[(d, e)]dgacbef
    290.52[(b, d)]ebfadcg
    300.79[(a, d), (f, a), (f, d)]dagbecf
    311.15[(c, d)]dgacbef
    61.19[(b, f)]edbafcg
    141.57[(e, f)]gdcafbe
    131.65[(d, g)]dabgecf
    11.82[(a, c)]ebfadcg
    42.11[(b, c)]fcebagd
    \n", + "
    " + ], + "text/plain": [ + " Angle Swapped Verts Sorted list\n", + "10 0.00 [(c, f)] fgcabed\n", + "12 0.32 [(d, e)] dgacbef\n", + "29 0.52 [(b, d)] ebfadcg\n", + "30 0.79 [(a, d), (f, a), (f, d)] dagbecf\n", + "31 1.15 [(c, d)] dgacbef\n", + "6 1.19 [(b, f)] edbafcg\n", + "14 1.57 [(e, f)] gdcafbe\n", + "13 1.65 [(d, g)] dabgecf\n", + "1 1.82 [(a, c)] ebfadcg\n", + "4 2.11 [(b, c)] fcebagd" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "All_Angles = Spiral.get_all_angles('dict', num_rounding_digits=2)\n", + "keys = list(All_Angles.keys())\n", + "keys.sort()\n", + "\n", + "for key in keys:\n", + " other_key = round((key + np.pi) % (2*np.pi),2)\n", + " All_Angles[other_key] = All_Angles[key]\n", + "\n", + "keys = list(All_Angles.keys()) # Now the big list \n", + "\n", + "pd_table = pd.DataFrame(columns = ['Angle', 'Swapped Verts', 'Sorted list'])\n", + "pd_table['Angle'] = keys\n", + "pd_table['Swapped Verts'] = [All_Angles[key] for key in keys]\n", + "\n", + "\n", + "\n", + "pd_table.sort_values(by='Angle', inplace=True)\n", + "pd_table['Sorted list'] = [''.join(Spiral.sort_vertices(key)) for key in keys]\n", + "pd_table.head(10)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    anglevertex_pair(s)_swappedsorted_order_at_next_midpoint
    00.00[(c, f)][g, c, f, a, b, e, d]
    10.32[(d, e)][g, c, f, a, d, b, e]
    21.04[(b, f)][g, c, d, a, f, b, e]
    31.19[(b, f)][g, d, c, a, b, f, e]
    41.57[(e, f)][g, d, c, a, b, e, f]
    51.65[(d, g)][d, g, c, a, b, e, f]
    61.73[(c, e)][d, g, c, a, b, e, f]
    71.82[(a, c)][d, g, a, c, b, e, f]
    82.11[(b, c)][d, g, a, b, c, e, f]
    92.24[(e, f)][d, g, a, b, c, e, f]
    102.28[(a, g)][d, a, g, b, e, c, f]
    112.36[(b, g)][d, a, b, g, e, c, f]
    122.41[(e, g)][d, a, b, e, g, c, f]
    132.49[(d, g)][d, a, b, e, g, c, f]
    142.52[(b, d)][d, a, b, e, g, c, f]
    152.60[(c, g)][d, e, b, a, c, g, f]
    162.85[(f, g)][d, e, b, a, c, f, g]
    173.02[(a, c)][d, e, b, a, f, c, g]
    183.37[(a, d), (f, a), (f, d)][e, d, b, a, f, c, g]
    193.59[(c, f)][e, d, b, a, f, c, g]
    203.66[(b, d)][e, b, d, a, f, c, g]
    213.93[(b, c)][e, b, f, a, d, c, g]
    224.29[(c, d)][e, f, b, a, c, d, g]
    234.47[(a, g)][e, f, b, a, c, d, g]
    244.50[(c, d)][e, f, b, a, c, d, g]
    254.59[(d, e)][e, f, b, a, c, d, g]
    264.72[(b, g)][f, e, b, a, c, d, g]
    274.87[(e, g)][f, e, b, c, a, g, d]
    285.41[(c, e)][f, c, e, b, g, a, d]
    295.47[(c, g)][f, c, g, e, b, a, d]
    305.82[(a, b), (a, e), (b, e)][g, f, c, a, b, e, d]
    316.26[(f, g)][g, f, c, a, b, e, d]
    \n", + "
    " + ], + "text/plain": [ + " angle vertex_pair(s)_swapped sorted_order_at_next_midpoint\n", + "0 0.00 [(c, f)] [g, c, f, a, b, e, d]\n", + "1 0.32 [(d, e)] [g, c, f, a, d, b, e]\n", + "2 1.04 [(b, f)] [g, c, d, a, f, b, e]\n", + "3 1.19 [(b, f)] [g, d, c, a, b, f, e]\n", + "4 1.57 [(e, f)] [g, d, c, a, b, e, f]\n", + "5 1.65 [(d, g)] [d, g, c, a, b, e, f]\n", + "6 1.73 [(c, e)] [d, g, c, a, b, e, f]\n", + "7 1.82 [(a, c)] [d, g, a, c, b, e, f]\n", + "8 2.11 [(b, c)] [d, g, a, b, c, e, f]\n", + "9 2.24 [(e, f)] [d, g, a, b, c, e, f]\n", + "10 2.28 [(a, g)] [d, a, g, b, e, c, f]\n", + "11 2.36 [(b, g)] [d, a, b, g, e, c, f]\n", + "12 2.41 [(e, g)] [d, a, b, e, g, c, f]\n", + "13 2.49 [(d, g)] [d, a, b, e, g, c, f]\n", + "14 2.52 [(b, d)] [d, a, b, e, g, c, f]\n", + "15 2.60 [(c, g)] [d, e, b, a, c, g, f]\n", + "16 2.85 [(f, g)] [d, e, b, a, c, f, g]\n", + "17 3.02 [(a, c)] [d, e, b, a, f, c, g]\n", + "18 3.37 [(a, d), (f, a), (f, d)] [e, d, b, a, f, c, g]\n", + "19 3.59 [(c, f)] [e, d, b, a, f, c, g]\n", + "20 3.66 [(b, d)] [e, b, d, a, f, c, g]\n", + "21 3.93 [(b, c)] [e, b, f, a, d, c, g]\n", + "22 4.29 [(c, d)] [e, f, b, a, c, d, g]\n", + "23 4.47 [(a, g)] [e, f, b, a, c, d, g]\n", + "24 4.50 [(c, d)] [e, f, b, a, c, d, g]\n", + "25 4.59 [(d, e)] [e, f, b, a, c, d, g]\n", + "26 4.72 [(b, g)] [f, e, b, a, c, d, g]\n", + "27 4.87 [(e, g)] [f, e, b, c, a, g, d]\n", + "28 5.41 [(c, e)] [f, c, e, b, g, a, d]\n", + "29 5.47 [(c, g)] [f, c, g, e, b, a, d]\n", + "30 5.82 [(a, b), (a, e), (b, e)] [g, f, c, a, b, e, d]\n", + "31 6.26 [(f, g)] [g, f, c, a, b, e, d]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "All_Angles = Spiral.get_all_angles('dict', num_rounding_digits=2)\n", + "\n", + "# add pi + angle for all angles \n", + "All_Angles_2pi = {}\n", + "for key in All_Angles.keys():\n", + " All_Angles_2pi[round(key,2)] = All_Angles[key]\n", + " other_key = (key + np.pi) % 2*np.pi\n", + " other_key = round(other_key, 2)\n", + " All_Angles_2pi[other_key] = All_Angles[key]\n", + "\n", + "keys = list(All_Angles_2pi.keys())\n", + "keys.sort()\n", + "\n", + "pd_table = pd.DataFrame(columns=['angle', 'vertex_pair(s)_swapped', 'sorted_order_at_next_midpoint'])\n", + "pd_table['angle'] = keys\n", + "pd_table['vertex_pair(s)_swapped'] = [All_Angles_2pi[key] for key in keys]\n", + "\n", + "# sort the vertex pairs at the midpoint\n", + "\n", + "for i in range(len(keys)-1):\n", + " angle = np.average([keys[i], keys[i+1]])\n", + " sorted_order = Spiral.sort_vertices(angle)\n", + " pd_table.at[i, 'sorted_order_at_next_midpoint'] = sorted_order\n", + "\n", + "angle = np.average([keys[-1], keys[0]+2*np.pi])\n", + "sorted_order = Spiral.sort_vertices(angle)\n", + "pd_table.at[len(keys)-1, 'sorted_order_at_next_midpoint'] = sorted_order\n", + "\n", + "pd_table" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['a', 'b', 'c', 'd', 'e', 'f', 'g']" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nodelist" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Modified version with vertex added between C and D\n", + "\n", + "# Create the graph\n", + "G = EmbeddedGraph()\n", + "G.add_node('a', .5, 0)\n", + "G.add_node('b', 1, 1)\n", + "G.add_node('c', -1.5, -.5)\n", + "G.add_node('X', 1.5, -1)\n", + "G.add_node('d', 3, -2.5)\n", + "G.add_node('e',1.5,2)\n", + "G.add_node('f',-1.5,2)\n", + "G.add_node('g', -3,-3)\n", + "\n", + "nodelist = ['a', 'b', 'c','X', 'd', 'e', 'f', 'g']\n", + "for i in range(len(nodelist)-1):\n", + " G.add_edge(nodelist[i], nodelist[i+1])\n", + "\n", + "fig, ax = plt.subplots()\n", + "G.plot(angle_labels_circle=True, edges_only=True, ax = ax)\n", + "# remove axes \n", + "ax.set_axis_off()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.matshow(G.get_all_angles()[0])\n", + "plt.colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[0.0, 0.32, 1.04, 1.19, 1.57, 1.65, 1.67, 1.73, 1.82, 1.99]" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "All_Angles = G.get_all_angles('dict', num_rounding_digits=2)\n", + "\n", + "# add pi + angle for all angles \n", + "All_Angles_2pi = {}\n", + "for key in All_Angles.keys():\n", + " All_Angles_2pi[round(key,2)] = All_Angles[key]\n", + " other_key = (key + np.pi) % 2*np.pi\n", + " other_key = round(other_key, 2)\n", + " All_Angles_2pi[other_key] = All_Angles[key]\n", + "\n", + "keys = list(All_Angles_2pi.keys())\n", + "keys.sort()\n", + "keys[:10]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    anglevertex_pair(s)_swappedsorted_order_at_next_midpointvertex_pair(s)
    00.00NaN[g, c, f, a, b, X, e, d][(c, f), (X, e)]
    10.32NaN[g, c, f, a, X, d, b, e][(d, e)]
    21.04NaN[g, c, d, X, a, f, b, e][(b, f)]
    31.19NaN[g, d, c, X, a, b, f, e][(b, f)]
    41.57NaN[g, d, X, c, a, b, e, f][(e, f)]
    51.65NaN[d, g, X, c, a, b, e, f][(d, g)]
    61.67NaN[d, g, X, c, a, b, e, f][(b, X)]
    71.73NaN[d, g, X, c, a, b, e, f][(c, e)]
    81.82NaN[d, g, X, a, c, b, e, f][(a, c)]
    91.99NaN[d, X, g, a, c, b, e, f][(X, g)]
    102.11NaN[d, X, g, a, b, c, e, f][(b, c)]
    112.24NaN[d, X, g, a, b, c, e, f][(e, f)]
    122.28NaN[d, X, a, g, b, e, c, f][(a, g)]
    132.36NaN[d, X, a, b, g, e, c, f][(b, g)]
    142.41NaN[d, X, a, b, e, g, c, f][(e, g)]
    152.49NaN[d, X, a, b, e, g, c, f][(d, g)]
    162.52NaN[d, X, a, b, e, g, c, f][(b, d)]
    172.60NaN[d, X, e, b, a, c, g, f][(c, g)]
    182.85NaN[d, X, e, b, a, c, f, g][(f, g)]
    193.02NaN[d, e, X, b, a, f, c, g][(a, c)]
    203.37NaN[d, e, X, b, a, f, c, g][(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)]
    213.39NaN[e, d, b, X, a, f, c, g][(b, X)]
    223.56NaN[e, d, b, X, a, f, c, g][(X, g)]
    233.59NaN[e, d, b, X, a, f, c, g][(c, f), (X, e)]
    243.66NaN[e, b, d, X, a, f, c, g][(b, d)]
    253.93NaN[e, b, f, a, X, d, c, g][(b, c)]
    264.29NaN[e, f, b, a, X, c, d, g][(c, d)]
    274.47NaN[e, f, b, a, X, c, d, g][(a, g)]
    284.50NaN[e, f, b, a, X, c, d, g][(c, d)]
    294.55NaN[e, f, b, a, c, X, d, g][(c, X)]
    304.59NaN[e, f, b, a, c, X, d, g][(d, e)]
    314.72NaN[f, e, b, a, c, X, d, g][(b, g)]
    324.87NaN[f, e, b, c, a, X, g, d][(e, g)]
    335.31NaN[f, e, c, b, a, g, X, d][(c, X)]
    345.41NaN[f, c, e, b, g, a, X, d][(c, e)]
    355.47NaN[f, c, g, e, b, a, X, d][(c, g)]
    365.82NaN[g, f, c, a, b, e, X, d][(a, b), (a, e), (b, e)]
    376.26NaN[g, f, c, a, b, e, X, d][(f, g)]
    \n", + "
    " + ], + "text/plain": [ + " angle vertex_pair(s)_swapped sorted_order_at_next_midpoint \\\n", + "0 0.00 NaN [g, c, f, a, b, X, e, d] \n", + "1 0.32 NaN [g, c, f, a, X, d, b, e] \n", + "2 1.04 NaN [g, c, d, X, a, f, b, e] \n", + "3 1.19 NaN [g, d, c, X, a, b, f, e] \n", + "4 1.57 NaN [g, d, X, c, a, b, e, f] \n", + "5 1.65 NaN [d, g, X, c, a, b, e, f] \n", + "6 1.67 NaN [d, g, X, c, a, b, e, f] \n", + "7 1.73 NaN [d, g, X, c, a, b, e, f] \n", + "8 1.82 NaN [d, g, X, a, c, b, e, f] \n", + "9 1.99 NaN [d, X, g, a, c, b, e, f] \n", + "10 2.11 NaN [d, X, g, a, b, c, e, f] \n", + "11 2.24 NaN [d, X, g, a, b, c, e, f] \n", + "12 2.28 NaN [d, X, a, g, b, e, c, f] \n", + "13 2.36 NaN [d, X, a, b, g, e, c, f] \n", + "14 2.41 NaN [d, X, a, b, e, g, c, f] \n", + "15 2.49 NaN [d, X, a, b, e, g, c, f] \n", + "16 2.52 NaN [d, X, a, b, e, g, c, f] \n", + "17 2.60 NaN [d, X, e, b, a, c, g, f] \n", + "18 2.85 NaN [d, X, e, b, a, c, f, g] \n", + "19 3.02 NaN [d, e, X, b, a, f, c, g] \n", + "20 3.37 NaN [d, e, X, b, a, f, c, g] \n", + "21 3.39 NaN [e, d, b, X, a, f, c, g] \n", + "22 3.56 NaN [e, d, b, X, a, f, c, g] \n", + "23 3.59 NaN [e, d, b, X, a, f, c, g] \n", + "24 3.66 NaN [e, b, d, X, a, f, c, g] \n", + "25 3.93 NaN [e, b, f, a, X, d, c, g] \n", + "26 4.29 NaN [e, f, b, a, X, c, d, g] \n", + "27 4.47 NaN [e, f, b, a, X, c, d, g] \n", + "28 4.50 NaN [e, f, b, a, X, c, d, g] \n", + "29 4.55 NaN [e, f, b, a, c, X, d, g] \n", + "30 4.59 NaN [e, f, b, a, c, X, d, g] \n", + "31 4.72 NaN [f, e, b, a, c, X, d, g] \n", + "32 4.87 NaN [f, e, b, c, a, X, g, d] \n", + "33 5.31 NaN [f, e, c, b, a, g, X, d] \n", + "34 5.41 NaN [f, c, e, b, g, a, X, d] \n", + "35 5.47 NaN [f, c, g, e, b, a, X, d] \n", + "36 5.82 NaN [g, f, c, a, b, e, X, d] \n", + "37 6.26 NaN [g, f, c, a, b, e, X, d] \n", + "\n", + " vertex_pair(s) \n", + "0 [(c, f), (X, e)] \n", + "1 [(d, e)] \n", + "2 [(b, f)] \n", + "3 [(b, f)] \n", + "4 [(e, f)] \n", + "5 [(d, g)] \n", + "6 [(b, X)] \n", + "7 [(c, e)] \n", + "8 [(a, c)] \n", + "9 [(X, g)] \n", + "10 [(b, c)] \n", + "11 [(e, f)] \n", + "12 [(a, g)] \n", + "13 [(b, g)] \n", + "14 [(e, g)] \n", + "15 [(d, g)] \n", + "16 [(b, d)] \n", + "17 [(c, g)] \n", + "18 [(f, g)] \n", + "19 [(a, c)] \n", + "20 [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] \n", + "21 [(b, X)] \n", + "22 [(X, g)] \n", + "23 [(c, f), (X, e)] \n", + "24 [(b, d)] \n", + "25 [(b, c)] \n", + "26 [(c, d)] \n", + "27 [(a, g)] \n", + "28 [(c, d)] \n", + "29 [(c, X)] \n", + "30 [(d, e)] \n", + "31 [(b, g)] \n", + "32 [(e, g)] \n", + "33 [(c, X)] \n", + "34 [(c, e)] \n", + "35 [(c, g)] \n", + "36 [(a, b), (a, e), (b, e)] \n", + "37 [(f, g)] " + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd_table = pd.DataFrame(columns=['angle', 'vertex_pair(s)_swapped', 'sorted_order_at_next_midpoint'])\n", + "pd_table['angle'] = keys\n", + "pd_table['vertex_pair(s)'] = [All_Angles_2pi[key] for key in keys]\n", + "\n", + "# sort the vertex pairs at the midpoint\n", + "\n", + "for i in range(len(keys)-1):\n", + " angle = np.average([keys[i], keys[i+1]])\n", + " sorted_order = G.sort_vertices(angle)\n", + " pd_table.at[i, 'sorted_order_at_next_midpoint'] = sorted_order\n", + "\n", + "angle = np.average([keys[-1], keys[0]+2*np.pi])\n", + "sorted_order = G.sort_vertices(angle)\n", + "pd_table.at[len(keys)-1, 'sorted_order_at_next_midpoint'] = sorted_order\n", + "\n", + "pd_table" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.16" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "start_angle = np.average(keys[0:2])\n", + "start_angle" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['g', 'c', 'f', 'a', 'b', 'X', 'e', 'd']" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "G.sort_vertices(start_angle)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5.82 : 5.82\n", + "1.82 : 1.82\n", + "3.93 : 3.93\n", + "2.28 : 2.28\n", + "2.11 : 2.11\n", + "3.39 : 3.39\n", + "3.66 : 3.66\n", + "1.19 : 1.19\n", + "2.36 : 2.36\n", + "4.55 : 4.55\n", + "4.29 : 4.29\n", + "5.41 : 5.41\n", + "0.0 : 0.0\n", + "2.6 : 2.6\n", + "1.99 : 1.99\n", + "0.32 : 0.32\n", + "1.65 : 1.65\n", + "1.57 : 1.57\n", + "2.41 : 2.41\n", + "2.85 : 2.85\n" + ] + } + ], + "source": [ + "# angle mod 2pi\n", + "for theta in All_Angles:\n", + " print(f'{theta} : {theta % (2*np.pi)}')" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5.9917285127017195" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "M = G.get_all_angles()[0]\n", + "np.nanmin(M)\n", + "np.nanmax(M)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt b/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt index a341a75..ad8b21b 100644 --- a/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt +++ b/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt @@ -49,7 +49,7 @@ }, { "data": { - "image/png": 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", + "image/png": 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", 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", 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", 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    " ] @@ -123,18 +123,18 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[ nan -0.78539816 -0.67474094 -0.46364761 -1.24904577 -0.78539816]\n", - " [ 2.35619449 nan -0.5880026 0. -2.35619449 -0.78539816]\n", - " [ 2.46685171 2.55359005 nan 2.03444394 2.89661399 2.67794504]\n", - " [ 2.67794504 3.14159265 -1.10714872 nan -2.8198421 -2.35619449]\n", - " [ 1.89254688 0.78539816 -0.24497866 0.32175055 nan 0. ]\n", - " [ 2.35619449 2.35619449 -0.46364761 0.78539816 3.14159265 nan]]\n" + "[[ nan 5.49778714 5.60844436 5.8195377 5.03413953 5.49778714]\n", + " [2.35619449 nan 5.6951827 0. 3.92699082 5.49778714]\n", + " [2.46685171 2.55359005 nan 2.03444394 2.89661399 2.67794504]\n", + " [2.67794504 3.14159265 5.17603659 nan 3.46334321 3.92699082]\n", + " [1.89254688 0.78539816 6.03820664 0.32175055 nan 0. ]\n", + " [2.35619449 2.35619449 5.8195377 0.78539816 3.14159265 nan]]\n" ] }, { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -143,7 +143,7 @@ }, { "data": { 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", + "image/png": 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" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{5.5: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " 5.61: [('A', 'C')],\n", + " 5.82: [('A', 'D'), ('F', 'C')],\n", + " 5.03: [('A', 'E')],\n", + " 5.7: [('B', 'C')],\n", + " 0.0: [('B', 'D'), ('E', 'F')],\n", + " 3.93: [('B', 'E'), ('D', 'F')],\n", + " 2.03: [('C', 'D')],\n", + " 2.9: [('C', 'E')],\n", + " 3.46: [('D', 'E')],\n", + " 8.64: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " 8.75: [('A', 'C')],\n", + " 8.96: [('A', 'D'), ('F', 'C')],\n", + " 8.17: [('A', 'E')],\n", + " 8.84: [('B', 'C')],\n", + " 3.14: [('B', 'D'), ('E', 'F')],\n", + " 7.07: [('B', 'E'), ('D', 'F')],\n", + " 5.17: [('C', 'D')],\n", + " 6.04: [('C', 'E')],\n", + " 6.6: [('D', 'E')]}" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "G.get_all_angles(returntype='dict', \n", + " opposites = True, \n", + " 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    -[[        nan -0.78539816 -0.67474094 -0.46364761 -1.24904577 -0.78539816]
    - [ 2.35619449         nan -0.5880026   0.         -2.35619449 -0.78539816]
    - [ 2.46685171  2.55359005         nan  2.03444394  2.89661399  2.67794504]
    - [ 2.67794504  3.14159265 -1.10714872         nan -2.8198421  -2.35619449]
    - [ 1.89254688  0.78539816 -0.24497866  0.32175055         nan  0.        ]
    - [ 2.35619449  2.35619449 -0.46364761  0.78539816  3.14159265         nan]]
    +[[       nan 5.49778714 5.60844436 5.8195377  5.03413953 5.49778714]
    + [2.35619449        nan 5.6951827  0.         3.92699082 5.49778714]
    + [2.46685171 2.55359005        nan 2.03444394 2.89661399 2.67794504]
    + [2.67794504 3.14159265 5.17603659        nan 3.46334321 3.92699082]
    + [1.89254688 0.78539816 6.03820664 0.32175055        nan 0.        ]
    + [2.35619449 2.35619449 5.8195377  0.78539816 3.14159265        nan]]
     
    @@ -246,7 +248,7 @@

    3.4. Tutorial for exact ECT computation<

    -<matplotlib.colorbar.Colorbar at 0x146ddb0e0>
    +<matplotlib.colorbar.Colorbar at 0x16bf21110>
     
    @@ -272,16 +274,55 @@

    3.4. Tutorial for exact ECT computation<

    -{-0.7853981633974483: [('A', 'B'), ('A', 'F'), ('B', 'F')],
    - -0.6747409422235526: [('A', 'C')],
    - -0.4636476090008061: [('A', 'D'), ('F', 'C')],
    - -1.2490457723982544: [('A', 'E')],
    - -0.5880026035475675: [('B', 'C')],
    +{5.497787143782138: [('A', 'B'), ('A', 'F'), ('B', 'F')],
    + 5.608444364956034: [('A', 'C')],
    + 5.81953769817878: [('A', 'D'), ('F', 'C')],
    + 5.034139534781332: [('A', 'E')],
    + 5.695182703632018: [('B', 'C')],
      0.0: [('B', 'D'), ('E', 'F')],
    - -2.356194490192345: [('B', 'E'), ('D', 'F')],
    + 3.9269908169872414: [('B', 'E'), ('D', 'F')],
      2.0344439357957027: [('C', 'D')],
      2.896613990462929: [('C', 'E')],
    - -2.819842099193151: [('D', 'E')]}
    + 3.4633432079864352: [('D', 'E')]}
    +
    +
    +

    We can also get it to return the dictionary with rounded values, as well as to have it include all the opposite angles.

    +
    +
    [6]:
    +
    +
    +
    G.get_all_angles(returntype='dict',
    +                 opposites = True,
    +                 num_rounding_digits=2)
    +
    +
    +
    +
    +
    [6]:
    +
    +
    +
    +
    +{5.5: [('A', 'B'), ('A', 'F'), ('B', 'F')],
    + 5.61: [('A', 'C')],
    + 5.82: [('A', 'D'), ('F', 'C')],
    + 5.03: [('A', 'E')],
    + 5.7: [('B', 'C')],
    + 0.0: [('B', 'D'), ('E', 'F')],
    + 3.93: [('B', 'E'), ('D', 'F')],
    + 2.03: [('C', 'D')],
    + 2.9: [('C', 'E')],
    + 3.46: [('D', 'E')],
    + 8.64: [('A', 'B'), ('A', 'F'), ('B', 'F')],
    + 8.75: [('A', 'C')],
    + 8.96: [('A', 'D'), ('F', 'C')],
    + 8.17: [('A', 'E')],
    + 8.84: [('B', 'C')],
    + 3.14: [('B', 'D'), ('E', 'F')],
    + 7.07: [('B', 'E'), ('D', 'F')],
    + 5.17: [('C', 'D')],
    + 6.04: [('C', 'E')],
    + 6.6: [('D', 'E')]}
     
    diff --git a/docs/notebooks/Tutorial-ExactECT.ipynb b/docs/notebooks/Tutorial-ExactECT.ipynb index a341a75..ad8b21b 100644 --- a/docs/notebooks/Tutorial-ExactECT.ipynb +++ b/docs/notebooks/Tutorial-ExactECT.ipynb @@ -49,7 +49,7 @@ }, { "data": { - "image/png": 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", + "image/png": 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", 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", 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", 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    " ] @@ -123,18 +123,18 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[ nan -0.78539816 -0.67474094 -0.46364761 -1.24904577 -0.78539816]\n", - " [ 2.35619449 nan -0.5880026 0. -2.35619449 -0.78539816]\n", - " [ 2.46685171 2.55359005 nan 2.03444394 2.89661399 2.67794504]\n", - " [ 2.67794504 3.14159265 -1.10714872 nan -2.8198421 -2.35619449]\n", - " [ 1.89254688 0.78539816 -0.24497866 0.32175055 nan 0. ]\n", - " [ 2.35619449 2.35619449 -0.46364761 0.78539816 3.14159265 nan]]\n" + "[[ nan 5.49778714 5.60844436 5.8195377 5.03413953 5.49778714]\n", + " [2.35619449 nan 5.6951827 0. 3.92699082 5.49778714]\n", + " [2.46685171 2.55359005 nan 2.03444394 2.89661399 2.67794504]\n", + " [2.67794504 3.14159265 5.17603659 nan 3.46334321 3.92699082]\n", + " [1.89254688 0.78539816 6.03820664 0.32175055 nan 0. ]\n", + " [2.35619449 2.35619449 5.8195377 0.78539816 3.14159265 nan]]\n" ] }, { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -143,7 +143,7 @@ }, { "data": { 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", + "image/png": 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" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{5.5: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " 5.61: [('A', 'C')],\n", + " 5.82: [('A', 'D'), ('F', 'C')],\n", + " 5.03: [('A', 'E')],\n", + " 5.7: [('B', 'C')],\n", + " 0.0: [('B', 'D'), ('E', 'F')],\n", + " 3.93: [('B', 'E'), ('D', 'F')],\n", + " 2.03: [('C', 'D')],\n", + " 2.9: [('C', 'E')],\n", + " 3.46: [('D', 'E')],\n", + " 8.64: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " 8.75: [('A', 'C')],\n", + " 8.96: [('A', 'D'), ('F', 'C')],\n", + " 8.17: [('A', 'E')],\n", + " 8.84: [('B', 'C')],\n", + " 3.14: [('B', 'D'), ('E', 'F')],\n", + " 7.07: [('B', 'E'), ('D', 'F')],\n", + " 5.17: [('C', 'D')],\n", + " 6.04: [('C', 'E')],\n", + " 6.6: [('D', 'E')]}" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "G.get_all_angles(returntype='dict', \n", + " opposites = True, \n", + " 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-Search.setIndex({"alltitles": {"Acknowledgements": [[10, "Acknowledgements"]], "Authors": [[5, "authors"]], "Citing": [[0, "citing"]], "Code style and formatting": [[1, "code-style-and-formatting"]], "Computing the ECT of G": [[12, "Computing-the-ECT-of-G"]], "Conclusion": [[1, "conclusion"]], "Constructing the embedded graph": [[12, "Constructing-the-embedded-graph"]], "Contact Information": [[5, "contact-information"]], "Contents:": [[5, null], [14, null]], "Contributing Guidelines": [[1, "contributing-guidelines"]], "Contributing to the ect Package": [[1, "contributing-to-the-ect-package"]], "Dependencies": [[5, "dependencies"]], "Description": [[5, "description"]], "Documentation and tutorials": [[5, "documentation-and-tutorials"]], "Documentation guidelines": [[1, "documentation-guidelines"]], "ECC in one direction": [[9, "ECC-in-one-direction"]], "ECT": [[9, "ECT"]], "ECT on Graphs": [[2, "module-ect.ect_graph"]], "ECT on Matisse\u2019s \u201cThe Parakeet and the Mermaid\u201d": [[10, "ECT-on-Matisse's-%22The-Parakeet-and-the-Mermaid%22"]], "Embedded CW complex": [[3, "module-ect.embed_cw"]], "Embedded graphs": [[4, "module-ect.embed_graph"]], "Erik\u2019s version": [[9, "Erik's-version"]], "Figure generation for Invitation to the ECT": [[9, "Figure-generation-for-Invitation-to-the-ECT"]], "GPL-3.0 License": [[7, "gpl-3-0-license"]], "Getting Started": [[1, "getting-started"], [5, "getting-started"]], "Installation": [[6, "installation"]], "Installing": [[5, "installing"]], "Installing ect": [[6, "installing-ect"]], "Issue tracking and pull requests": [[1, "issue-tracking-and-pull-requests"]], "Let\u2019s draw a cylinder!": [[9, "Let's-draw-a-cylinder!"]], "License": [[5, "license"]], "Making pictures": [[9, "Making-pictures"]], "Prerequisites": [[6, "prerequisites"]], "SECT": [[9, "SECT"], [12, "SECT"]], "Table of Contents": [[5, "table-of-contents"], [8, "table-of-contents"]], "Testing guidelines": [[1, "testing-guidelines"]], "Thresholded Figure": [[9, "Thresholded-Figure"]], "Trying Erik\u2019s stuff": [[9, "Trying-Erik's-stuff"]], "Tutorial : ECT for embedded graphs": [[12, "Tutorial-:-ECT-for-embedded-graphs"]], "Tutorial for exact ECT computation": [[13, "Tutorial-for-exact-ECT-computation"]], "Tutorial: ECT for CW complexes": [[11, "Tutorial:-ECT-for-CW-complexes"]], "Tutorials": [[14, "tutorials"]], "Uninstalling ect": [[6, "uninstalling-ect"]], "ect: Euler Characteristic Transform in Python": [[5, "ect-euler-characteristic-transform-in-python"]]}, "docnames": ["citing", "contributing", "ect_on_graphs", "embed_cw", "embed_graph", "index", "installation", "license", "modules", "notebooks/CodingFiguresFern", "notebooks/Matisse/Matisse_ECT", "notebooks/Tutorial-ECT_for_CW_Complexes", "notebooks/Tutorial-ECT_for_embedded_graphs", "notebooks/Tutorial-ExactECT", "tutorials"], "envversion": {"nbsphinx": 4, "sphinx": 61, "sphinx.domains.c": 3, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 9, 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Tutorials — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + + + + + diff --git a/ect/ect/embed_graph.py b/ect/ect/embed_graph.py index 5a6c1f2..fb1da4f 100644 --- a/ect/ect/embed_graph.py +++ b/ect/ect/embed_graph.py @@ -450,7 +450,10 @@ def lower_edges(self, v, omega): Lg = [np.dot(self.coordinates[v], omega) for v in L] return sum(n >= gv for n in Lg) # includes possible duplicate counts - def get_all_angles(self, returntype='matrix', num_rounding_digits=None): + def get_all_angles(self, returntype='matrix', + num_rounding_digits=None, + edges_only=False, + opposites=False): """ Function to get all angles of normals to any line between veritces in the graph. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order. @@ -459,6 +462,10 @@ def get_all_angles(self, returntype='matrix', num_rounding_digits=None): The return type of the angles. Options are 'matrix' or 'dict'. If 'matrix', returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If 'dict', returns a dictionary of angles with `dict['A','B']` returning the angle normal to the vector :math:`\\overrightarrow{AB}`. rounding_digits (int): The number of digits to round the angles in either the matrix or the keys of the dictionary. + edges_only (bool): + If True, the dictionary version only returns the angle of the normals to the lines between vertices sharing an edge. The matrix version is unchanged. + opposites (bool): + If True, will also include the opposite angle in the dictionary. Returns: list: A list of angles of the vertices in the graph. @@ -484,6 +491,8 @@ def get_all_angles(self, returntype='matrix', num_rounding_digits=None): np.fill_diagonal(Y_diff, np.nan) angle_matrix = np.arctan2(X_diff, -Y_diff) + # Puts all entries between 0 and 2pi + angle_matrix = angle_matrix % (2*np.pi) if num_rounding_digits != None: angle_matrix = np.round(angle_matrix, num_rounding_digits) @@ -494,6 +503,8 @@ def get_all_angles(self, returntype='matrix', num_rounding_digits=None): angle_dict = {} for i in range(len(labels)): for j in range(i+1, len(labels)): + if edges_only and not self.has_edge(labels[i], labels[j]): + continue if angle_matrix[i, j] in angle_dict.keys(): angle_dict[angle_matrix[i, j]].append( (labels[i], labels[j])) @@ -503,6 +514,13 @@ def get_all_angles(self, returntype='matrix', num_rounding_digits=None): else: angle_dict[angle_matrix[i, j]] = [ (labels[i], labels[j])] + + if opposites: + for key in list(angle_dict.keys()): + other_key = key + np.pi % (2*np.pi) + if num_rounding_digits != None: + other_key = round(other_key, num_rounding_digits) + angle_dict[other_key] = angle_dict[key] return angle_dict def plot(self, @@ -512,6 +530,7 @@ def plot(self, ax=None, with_labels=True, angle_labels_circle=False, + edges_only=False, **kwargs): """ Function to plot the graph with the embedded coordinates. @@ -524,7 +543,7 @@ def plot(self, If ``ax`` is not None, the plot is drawn on the given axis. - If `angle_labels_circle` is True, the angles of the normals to the lines between vertices are plotted on a slightly larger circle circle around the graph. + If `angle_labels_circle` is True, the angles of the normals to the lines between vertices are plotted on a slightly larger circle circle around the graph. If additionally, `edges_only` is True, only hash marks for pairs of vertices sharing an edge are plotted. """ if ax is None: @@ -571,14 +590,15 @@ def plot(self, ax.add_patch(circle) # Get all the angles with the labels to be drawn - angles_dict = self.get_all_angles(returntype='dict') + angles_dict = self.get_all_angles( + returntype='dict', edges_only=edges_only) angles_dict_labels = {key: ', '.join( [f"{a[0]}{a[1]}" for a in value]) for key, value in angles_dict.items()} # Draw hash marks on the circle hash_length = 0.1*r # Length of the hash marks for theta in angles_dict_labels.keys(): - for angle in [theta, theta + np.pi]: + for angle in [theta, (theta + np.pi) % (2*np.pi)]: x_start = circle_center[0] + \ (r-hash_length) * np.cos(angle) y_start = circle_center[1] + \ @@ -595,8 +615,9 @@ def plot(self, (r + scaling * hash_length) * np.cos(angle) label_y = circle_center[1] + \ (r + scaling * hash_length) * np.sin(angle) + text_angle = angle if angle <= np.pi/2 or angle >= 3*np.pi/2 else angle - np.pi ax.text(label_x, label_y, - angles_dict_labels[theta], ha='center', va='center') + angles_dict_labels[theta], ha='center', va='center', rotation=np.degrees(text_angle), fontsize=8) # Always adjust the plot limits to show the full graph scale_factor = 1.5 ax.set_xlim(circle_center[0] - scale_factor*r, diff --git a/tests/test_embed_graph.py b/tests/test_embed_graph.py index 1b0f942..b96bee9 100644 --- a/tests/test_embed_graph.py +++ b/tests/test_embed_graph.py @@ -103,6 +103,31 @@ def test_get_angles(self): M,L = G.get_all_angles(returntype = 'matrix') self.assertEqual( M.shape, (6, 6)) + # Check that all entries in the matrix are between 0 and 2pi other + # than the diagonal which should be nan + + self.assertTrue( np.nanmin(M) >= 0) + self.assertTrue( np.nanmax(M) <= 2*np.pi) + + #---- + # Check that the values the dictionary show up in pairs + # when asking for opposites + M_dict = G.get_all_angles(returntype='dict',opposites=True) + vals = list(M_dict.values()) + + # Convert to strings to make this hashable for the counter + vals = [','.join([''.join(x) for x in A]) for A in vals] + vals + + # Count all the instaces of each value. + # These should come in pairs, so should always be 2. + from collections import Counter + counter = Counter(vals) + for k,v in counter.items(): + self.assertEqual(v, 2) + + + if __name__ == '__main__': From d3915e375d7c19017569e396e7bb1554b413e72d Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Tue, 21 Jan 2025 15:03:58 -0500 Subject: [PATCH 13/14] Fixed an issue with the dictionary entries not being in [0, 2pi] --- docs/_modules/ect/embed_graph.html | 13 +- .../notebooks/Playing_with_Spirals.ipynb.txt | 255 +++++++++++++--- docs/doctrees/ect_on_graphs.doctree | Bin 108990 -> 108990 bytes docs/doctrees/embed_cw.doctree | Bin 102123 -> 102123 bytes docs/doctrees/embed_graph.doctree | Bin 231663 -> 232192 bytes docs/doctrees/environment.pickle | Bin 152350 -> 152879 bytes .../notebooks/Playing_with_Spirals.ipynb | 279 ++++++++++++++---- .../notebooks/Matisse/Matisse_ECT.doctree | Bin 31307 -> 31307 bytes .../notebooks/Playing_with_Spirals.doctree | Bin 107330 -> 120325 bytes docs/notebooks/Playing_with_Spirals.html | 232 ++++++++++++--- docs/notebooks/Playing_with_Spirals.ipynb | 279 ++++++++++++++---- docs/searchindex.js | 2 +- ect/ect/embed_graph.py | 13 +- tests/test_embed_graph.py | 6 + 14 files changed, 871 insertions(+), 208 deletions(-) diff --git a/docs/_modules/ect/embed_graph.html b/docs/_modules/ect/embed_graph.html index 98f1879..590c355 100644 --- a/docs/_modules/ect/embed_graph.html +++ b/docs/_modules/ect/embed_graph.html @@ -598,7 +598,7 @@

    Source code for ect.embed_graph

     
             .. math ::
     
    -            g_\\omega(e) = \max \{ g_\\omega(v) \\mid  v \in e \}
    +            g_\\omega(e) = \\max \{ g_\\omega(v) \\mid  v \in e \}
     
             in the direction of :math:`\\theta \in [0,2\\pi]` .
     
    @@ -701,8 +701,10 @@ 

    Source code for ect.embed_graph

                 angle_dict = {}
                 for i in range(len(labels)):
                     for j in range(i+1, len(labels)):
    +                    # Skip this edge if edges_only is True and the vertices are not connected
                         if edges_only and not self.has_edge(labels[i], labels[j]):
                             continue
    +
                         if angle_matrix[i, j] in angle_dict.keys():
                             angle_dict[angle_matrix[i, j]].append(
                                 (labels[i], labels[j]))
    @@ -719,6 +721,15 @@ 

    Source code for ect.embed_graph

                         if num_rounding_digits != None:
                             other_key = round(other_key, num_rounding_digits)
                         angle_dict[other_key] = angle_dict[key]
    +
    +            # Make sure all keys are in the range [0, 2pi]
    +            angle_dict = {key % (2*np.pi): value for key,
    +                          value in angle_dict.items()}
    +
    +            # Make sure all keys are rounded to the correct number of digits
    +            if num_rounding_digits != None:
    +                angle_dict = {round(key, num_rounding_digits)                              : value for key, value in angle_dict.items()}
    +
                 return angle_dict
    diff --git a/docs/_sources/notebooks/Playing_with_Spirals.ipynb.txt b/docs/_sources/notebooks/Playing_with_Spirals.ipynb.txt index cf1167c..2c27e84 100644 --- a/docs/_sources/notebooks/Playing_with_Spirals.ipynb.txt +++ b/docs/_sources/notebooks/Playing_with_Spirals.ipynb.txt @@ -125,81 +125,249 @@ " \n", " \n", " \n", - " 10\n", + " 0\n", " 0.00\n", " [(c, f)]\n", - " fgcabed\n", + " gcfabed\n", " \n", " \n", - " 12\n", + " 1\n", " 0.32\n", " [(d, e)]\n", - " dgacbef\n", + " gcfabed\n", " \n", " \n", - " 29\n", + " 2\n", " 0.52\n", " [(b, d)]\n", - " ebfadcg\n", + " gcfadbe\n", " \n", " \n", - " 30\n", + " 3\n", " 0.79\n", " [(a, d), (f, a), (f, d)]\n", - " dagbecf\n", + " gcdafbe\n", " \n", " \n", - " 31\n", + " 4\n", " 1.15\n", " [(c, d)]\n", - " dgacbef\n", + " gcdafbe\n", " \n", " \n", - " 6\n", + " 5\n", " 1.19\n", " [(b, f)]\n", - " edbafcg\n", + " gdcafbe\n", " \n", " \n", - " 14\n", + " 6\n", " 1.57\n", " [(e, f)]\n", - " gdcafbe\n", + " gdcabfe\n", " \n", " \n", - " 13\n", + " 7\n", " 1.65\n", " [(d, g)]\n", - " dabgecf\n", + " gdcabef\n", " \n", " \n", - " 1\n", + " 8\n", " 1.82\n", " [(a, c)]\n", - " ebfadcg\n", + " dgacbef\n", " \n", " \n", - " 4\n", + " 9\n", " 2.11\n", " [(b, c)]\n", + " dgacbef\n", + " \n", + " \n", + " 10\n", + " 2.27\n", + " [(c, e)]\n", + " dgabecf\n", + " \n", + " \n", + " 11\n", + " 2.28\n", + " [(a, g)]\n", + " dagbecf\n", + " \n", + " \n", + " 12\n", + " 2.36\n", + " [(b, g)]\n", + " dabgecf\n", + " \n", + " \n", + " 13\n", + " 2.41\n", + " [(e, g)]\n", + " dabegcf\n", + " \n", + " \n", + " 14\n", + " 2.60\n", + " [(c, g)]\n", + " dabegcf\n", + " \n", + " \n", + " 15\n", + " 2.68\n", + " [(a, b), (a, e), (b, e)]\n", + " debacgf\n", + " \n", + " \n", + " 16\n", + " 2.85\n", + " [(f, g)]\n", + " debacgf\n", + " \n", + " \n", + " 17\n", + " 3.14\n", + " [(c, f)]\n", + " debacfg\n", + " \n", + " \n", + " 18\n", + " 3.46\n", + " [(d, e)]\n", + " debafcg\n", + " \n", + " \n", + " 19\n", + " 3.66\n", + " [(b, d)]\n", + " edbafcg\n", + " \n", + " \n", + " 20\n", + " 3.93\n", + " [(a, d), (f, a), (f, d)]\n", + " ebfadcg\n", + " \n", + " \n", + " 21\n", + " 4.29\n", + " [(c, d)]\n", + " ebfadcg\n", + " \n", + " \n", + " 22\n", + " 4.33\n", + " [(b, f)]\n", + " ebfacdg\n", + " \n", + " \n", + " 23\n", + " 4.71\n", + " [(e, f)]\n", + " efbacdg\n", + " \n", + " \n", + " 24\n", + " 4.79\n", + " [(d, g)]\n", + " febacdg\n", + " \n", + " \n", + " 25\n", + " 4.96\n", + " [(a, c)]\n", + " febcagd\n", + " \n", + " \n", + " 26\n", + " 5.25\n", + " [(b, c)]\n", + " febcagd\n", + " \n", + " \n", + " 27\n", + " 5.41\n", + " [(c, e)]\n", + " fcebagd\n", + " \n", + " \n", + " 28\n", + " 5.42\n", + " [(a, g)]\n", " fcebagd\n", " \n", + " \n", + " 29\n", + " 5.50\n", + " [(b, g)]\n", + " fcegbad\n", + " \n", + " \n", + " 30\n", + " 5.55\n", + " [(e, g)]\n", + " fcegbad\n", + " \n", + " \n", + " 31\n", + " 5.74\n", + " [(c, g)]\n", + " fcgebad\n", + " \n", + " \n", + " 32\n", + " 5.82\n", + " [(a, b), (a, e), (b, e)]\n", + " fgcabed\n", + " \n", + " \n", + " 33\n", + " 5.99\n", + " [(f, g)]\n", + " fgcabed\n", + " \n", " \n", "\n", "
    " ], "text/plain": [ " Angle Swapped Verts Sorted list\n", - "10 0.00 [(c, f)] fgcabed\n", - "12 0.32 [(d, e)] dgacbef\n", - "29 0.52 [(b, d)] ebfadcg\n", - "30 0.79 [(a, d), (f, a), (f, d)] dagbecf\n", - "31 1.15 [(c, d)] dgacbef\n", - "6 1.19 [(b, f)] edbafcg\n", - "14 1.57 [(e, f)] gdcafbe\n", - "13 1.65 [(d, g)] dabgecf\n", - "1 1.82 [(a, c)] ebfadcg\n", - "4 2.11 [(b, c)] fcebagd" + "0 0.00 [(c, f)] gcfabed\n", + "1 0.32 [(d, e)] gcfabed\n", + "2 0.52 [(b, d)] gcfadbe\n", + "3 0.79 [(a, d), (f, a), (f, d)] gcdafbe\n", + "4 1.15 [(c, d)] gcdafbe\n", + "5 1.19 [(b, f)] gdcafbe\n", + "6 1.57 [(e, f)] gdcabfe\n", + "7 1.65 [(d, g)] gdcabef\n", + "8 1.82 [(a, c)] dgacbef\n", + "9 2.11 [(b, c)] dgacbef\n", + "10 2.27 [(c, e)] dgabecf\n", + "11 2.28 [(a, g)] dagbecf\n", + "12 2.36 [(b, g)] dabgecf\n", + "13 2.41 [(e, g)] dabegcf\n", + "14 2.60 [(c, g)] dabegcf\n", + "15 2.68 [(a, b), (a, e), (b, e)] debacgf\n", + "16 2.85 [(f, g)] debacgf\n", + "17 3.14 [(c, f)] debacfg\n", + "18 3.46 [(d, e)] debafcg\n", + "19 3.66 [(b, d)] edbafcg\n", + "20 3.93 [(a, d), (f, a), (f, d)] ebfadcg\n", + "21 4.29 [(c, d)] ebfadcg\n", + "22 4.33 [(b, f)] ebfacdg\n", + "23 4.71 [(e, f)] efbacdg\n", + "24 4.79 [(d, g)] febacdg\n", + "25 4.96 [(a, c)] febcagd\n", + "26 5.25 [(b, c)] febcagd\n", + "27 5.41 [(c, e)] fcebagd\n", + "28 5.42 [(a, g)] fcebagd\n", + "29 5.50 [(b, g)] fcegbad\n", + "30 5.55 [(e, g)] fcegbad\n", + "31 5.74 [(c, g)] fcgebad\n", + "32 5.82 [(a, b), (a, e), (b, e)] fgcabed\n", + "33 5.99 [(f, g)] fgcabed" ] }, "execution_count": 4, @@ -208,16 +376,10 @@ } ], "source": [ - "All_Angles = Spiral.get_all_angles('dict', num_rounding_digits=2)\n", + "All_Angles = Spiral.get_all_angles('dict', num_rounding_digits=2, opposites = True)\n", "keys = list(All_Angles.keys())\n", "keys.sort()\n", "\n", - "for key in keys:\n", - " other_key = round((key + np.pi) % (2*np.pi),2)\n", - " All_Angles[other_key] = All_Angles[key]\n", - "\n", - "keys = list(All_Angles.keys()) # Now the big list \n", - "\n", "pd_table = pd.DataFrame(columns = ['Angle', 'Swapped Verts', 'Sorted list'])\n", "pd_table['Angle'] = keys\n", "pd_table['Swapped Verts'] = [All_Angles[key] for key in keys]\n", @@ -226,15 +388,28 @@ "\n", "pd_table.sort_values(by='Angle', inplace=True)\n", "pd_table['Sorted list'] = [''.join(Spiral.sort_vertices(key)) for key in keys]\n", - "pd_table.head(10)" + "pd_table.head(100)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys([5.82, 1.82, 3.93, 2.28, 2.11, 3.66, 1.19, 2.36, 4.29, 5.41, 0.0, 2.6, 0.32, 1.65, 1.57, 2.41, 2.85, 2.68, 4.96, 0.79, 5.42, 5.25, 0.52, 4.33, 5.5, 1.15, 2.27, 3.14, 5.74, 3.46, 4.79, 4.71, 5.55, 5.99])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "All_Angles.keys()" + ] }, { "cell_type": "code", diff --git 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ebfadcg\n", + " gcfadbe\n", " \n", " \n", - " 30\n", + " 3\n", " 0.79\n", " [(a, d), (f, a), (f, d)]\n", - " dagbecf\n", + " gcdafbe\n", " \n", " \n", - " 31\n", + " 4\n", " 1.15\n", " [(c, d)]\n", - " dgacbef\n", + " gcdafbe\n", " \n", " \n", - " 6\n", + " 5\n", " 1.19\n", " [(b, f)]\n", - " edbafcg\n", + " gdcafbe\n", " \n", " \n", - " 14\n", + " 6\n", " 1.57\n", " [(e, f)]\n", - " gdcafbe\n", + " gdcabfe\n", " \n", " \n", - " 13\n", + " 7\n", " 1.65\n", " [(d, g)]\n", - " dabgecf\n", + " gdcabef\n", " \n", " \n", - " 1\n", + " 8\n", " 1.82\n", " [(a, c)]\n", - " ebfadcg\n", + " dgacbef\n", " \n", " \n", - " 4\n", + " 9\n", " 2.11\n", " [(b, c)]\n", + " dgacbef\n", + " \n", + " \n", + " 10\n", + " 2.27\n", + " [(c, e)]\n", + " dgabecf\n", + " \n", + " \n", + " 11\n", + " 2.28\n", + " [(a, g)]\n", + " dagbecf\n", + " \n", + " \n", + " 12\n", + " 2.36\n", + " [(b, g)]\n", + " dabgecf\n", + " \n", + " \n", + " 13\n", + " 2.41\n", + " [(e, g)]\n", + " dabegcf\n", + " \n", + " \n", + " 14\n", + " 2.60\n", + " [(c, g)]\n", + " dabegcf\n", + " \n", + " \n", + " 15\n", + " 2.68\n", + " [(a, b), (a, e), (b, e)]\n", + " debacgf\n", + " \n", + " \n", + " 16\n", + " 2.85\n", + " [(f, g)]\n", + " debacgf\n", + " \n", + " \n", + " 17\n", + " 3.14\n", + " [(c, f)]\n", + " debacfg\n", + " \n", + " \n", + " 18\n", + " 3.46\n", + " [(d, e)]\n", + " debafcg\n", + " \n", + " \n", + " 19\n", + " 3.66\n", + " [(b, d)]\n", + " edbafcg\n", + " \n", + " \n", + " 20\n", + " 3.93\n", + " [(a, d), (f, a), (f, d)]\n", + " ebfadcg\n", + " \n", + " \n", + " 21\n", + " 4.29\n", + " [(c, d)]\n", + " ebfadcg\n", + " \n", + " \n", + " 22\n", + " 4.33\n", + " [(b, f)]\n", + " ebfacdg\n", + " \n", + " \n", + " 23\n", + " 4.71\n", + " [(e, f)]\n", + " efbacdg\n", + " \n", + " \n", + " 24\n", + " 4.79\n", + " [(d, g)]\n", + " febacdg\n", + " \n", + " \n", + " 25\n", + " 4.96\n", + " [(a, c)]\n", + " febcagd\n", + " \n", + " \n", + " 26\n", + " 5.25\n", + " [(b, c)]\n", + " febcagd\n", + " \n", + " \n", + " 27\n", + " 5.41\n", + " [(c, e)]\n", + " fcebagd\n", + " \n", + " \n", + " 28\n", + " 5.42\n", + " [(a, g)]\n", " fcebagd\n", " \n", + " \n", + " 29\n", + " 5.50\n", + " [(b, g)]\n", + " fcegbad\n", + " \n", + " \n", + " 30\n", + " 5.55\n", + " [(e, g)]\n", + " fcegbad\n", + " \n", + " \n", + " 31\n", + " 5.74\n", + " [(c, g)]\n", + " fcgebad\n", + " \n", + " \n", + " 32\n", + " 5.82\n", + " [(a, b), (a, e), (b, e)]\n", + " fgcabed\n", + " \n", + " \n", + " 33\n", + " 5.99\n", + " [(f, g)]\n", + " fgcabed\n", + " \n", " \n", "\n", "
    " ], "text/plain": [ " Angle Swapped Verts Sorted list\n", - "10 0.00 [(c, f)] fgcabed\n", - "12 0.32 [(d, e)] dgacbef\n", - "29 0.52 [(b, d)] ebfadcg\n", - "30 0.79 [(a, d), (f, a), (f, d)] dagbecf\n", - "31 1.15 [(c, d)] dgacbef\n", - "6 1.19 [(b, f)] edbafcg\n", - "14 1.57 [(e, f)] gdcafbe\n", - "13 1.65 [(d, g)] dabgecf\n", - "1 1.82 [(a, c)] ebfadcg\n", - "4 2.11 [(b, c)] fcebagd" + "0 0.00 [(c, f)] gcfabed\n", + "1 0.32 [(d, e)] gcfabed\n", + "2 0.52 [(b, d)] gcfadbe\n", + "3 0.79 [(a, d), (f, a), (f, d)] gcdafbe\n", + "4 1.15 [(c, d)] gcdafbe\n", + "5 1.19 [(b, f)] gdcafbe\n", + "6 1.57 [(e, f)] gdcabfe\n", + "7 1.65 [(d, g)] gdcabef\n", + "8 1.82 [(a, c)] dgacbef\n", + "9 2.11 [(b, c)] dgacbef\n", + "10 2.27 [(c, e)] dgabecf\n", + "11 2.28 [(a, g)] dagbecf\n", + "12 2.36 [(b, g)] dabgecf\n", + "13 2.41 [(e, g)] dabegcf\n", + "14 2.60 [(c, g)] dabegcf\n", + "15 2.68 [(a, b), (a, e), (b, e)] debacgf\n", + "16 2.85 [(f, g)] debacgf\n", + "17 3.14 [(c, f)] debacfg\n", + "18 3.46 [(d, e)] debafcg\n", + "19 3.66 [(b, d)] edbafcg\n", + "20 3.93 [(a, d), (f, a), (f, d)] ebfadcg\n", + "21 4.29 [(c, d)] ebfadcg\n", + "22 4.33 [(b, f)] ebfacdg\n", + "23 4.71 [(e, f)] efbacdg\n", + "24 4.79 [(d, g)] febacdg\n", + "25 4.96 [(a, c)] febcagd\n", + "26 5.25 [(b, c)] febcagd\n", + "27 5.41 [(c, e)] fcebagd\n", + "28 5.42 [(a, g)] fcebagd\n", + "29 5.50 [(b, g)] fcegbad\n", + "30 5.55 [(e, g)] fcegbad\n", + "31 5.74 [(c, g)] fcgebad\n", + "32 5.82 [(a, b), (a, e), (b, e)] fgcabed\n", + "33 5.99 [(f, g)] fgcabed" ] }, "execution_count": 4, @@ -208,16 +376,10 @@ } ], "source": [ - "All_Angles = Spiral.get_all_angles('dict', num_rounding_digits=2)\n", + "All_Angles = Spiral.get_all_angles('dict', num_rounding_digits=2, opposites = True)\n", "keys = list(All_Angles.keys())\n", "keys.sort()\n", "\n", - "for key in keys:\n", - " other_key = round((key + np.pi) % (2*np.pi),2)\n", - " All_Angles[other_key] = All_Angles[key]\n", - "\n", - "keys = list(All_Angles.keys()) # Now the big list \n", - "\n", "pd_table = pd.DataFrame(columns = ['Angle', 'Swapped Verts', 'Sorted list'])\n", "pd_table['Angle'] = keys\n", "pd_table['Swapped Verts'] = [All_Angles[key] for key in keys]\n", @@ -226,15 +388,28 @@ "\n", "pd_table.sort_values(by='Angle', inplace=True)\n", "pd_table['Sorted list'] = [''.join(Spiral.sort_vertices(key)) for key in keys]\n", - "pd_table.head(10)" + "pd_table.head(100)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys([5.82, 1.82, 3.93, 2.28, 2.11, 3.66, 1.19, 2.36, 4.29, 5.41, 0.0, 2.6, 0.32, 1.65, 1.57, 2.41, 2.85, 2.68, 4.96, 0.79, 5.42, 5.25, 0.52, 4.33, 5.5, 1.15, 2.27, 3.14, 5.74, 3.46, 4.79, 4.71, 5.55, 5.99])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "All_Angles.keys()" + ] }, { "cell_type": "code", @@ -1171,36 +1346,24 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 28, "metadata": {}, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "3.14\n", - "0.14000000000000012\n" - ] - }, { "data": { "text/plain": [ - "19" + "5.9917285127017195" ] }, - "execution_count": 23, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "x = np.pi \n", - "\n", - "x = round(x, 2)\n", - "print(x)\n", - "\n", - "print(str(x%1))\n", - "len(str(x % 1))" + "M = G.get_all_angles()[0]\n", + "np.nanmin(M)\n", + "np.nanmax(M)" ] }, { diff --git a/docs/doctrees/notebooks/Matisse/Matisse_ECT.doctree b/docs/doctrees/notebooks/Matisse/Matisse_ECT.doctree index 4178def90c5a4d67156d7920a9df07a092e2cbe6..748c110b2e19d8820af7b010c243fc8d67e919e0 100644 GIT binary patch delta 158 zcmX^8h4J(k#tkP0<;*RUjf_l9jZMuBOpFW-5{*+#lPyh6Q_a#W43m>KKNmD)RK%~w cv_@g_KSA@!1;VQcnPwsKHJN~##oiT60Jyd-@Bjb+ delta 158 zcmX^8h4J(k#tkP0<&u+=%`8%q4AYE_O-xLTEG&!-43msg3=C6EO)ZQ!KNmD)RK%~w cv_@g_KSA@!1;VQcnPwsKHJN~##oiT60460ai~s-t diff --git a/docs/doctrees/notebooks/Playing_with_Spirals.doctree b/docs/doctrees/notebooks/Playing_with_Spirals.doctree index 269a7ee33492ce6cdcf8f1bd5773501c029f7098..0f45169115878446a4c8f802e7abebe4246e7974 100644 GIT binary patch delta 10294 zcmeHNdr(tX8s{96Tyh~m2%v&B5rF`Pked)fsEV(ZYRhV^Z7u3bfFy{>Lqx@D0Uy~?m#UAqH+ zFgf3MzQ^x7-}&8hZt}uQs&)GWWs`DSD(X<)J{)%;h?qK2XEIdR)Ku3kSmLfTj5W+! 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    [4]:
     
    -
    All_Angles = Spiral.get_all_angles('dict', num_rounding_digits=2)
    +
    All_Angles = Spiral.get_all_angles('dict', num_rounding_digits=2, opposites = True)
     keys = list(All_Angles.keys())
     keys.sort()
     
    -for key in keys:
    -    other_key = round((key + np.pi) % (2*np.pi),2)
    -    All_Angles[other_key] = All_Angles[key]
    -
    -keys = list(All_Angles.keys()) # Now the big list
    -
     pd_table = pd.DataFrame(columns = ['Angle', 'Swapped Verts', 'Sorted list'])
     pd_table['Angle'] = keys
     pd_table['Swapped Verts'] = [All_Angles[key] for key in keys]
    @@ -230,7 +224,7 @@
     
     pd_table.sort_values(by='Angle', inplace=True)
     pd_table['Sorted list'] = [''.join(Spiral.sort_vertices(key)) for key in keys]
    -pd_table.head(10)
    +pd_table.head(100)
     
    @@ -264,77 +258,230 @@ - 10 + 0 0.00 [(c, f)] - fgcabed + gcfabed - 12 + 1 0.32 [(d, e)] - dgacbef + gcfabed - 29 + 2 0.52 [(b, d)] - ebfadcg + gcfadbe - 30 + 3 0.79 [(a, d), (f, a), (f, d)] - dagbecf + gcdafbe - 31 + 4 1.15 [(c, d)] - dgacbef + gcdafbe - 6 + 5 1.19 [(b, f)] - edbafcg + gdcafbe - 14 + 6 1.57 [(e, f)] - gdcafbe + gdcabfe - 13 + 7 1.65 [(d, g)] - dabgecf + gdcabef - 1 + 8 1.82 [(a, c)] - ebfadcg + dgacbef - 4 + 9 2.11 [(b, c)] + dgacbef + + + 10 + 2.27 + [(c, e)] + dgabecf + + + 11 + 2.28 + [(a, g)] + dagbecf + + + 12 + 2.36 + [(b, g)] + dabgecf + + + 13 + 2.41 + [(e, g)] + dabegcf + + + 14 + 2.60 + [(c, g)] + dabegcf + + + 15 + 2.68 + [(a, b), (a, e), (b, e)] + debacgf + + + 16 + 2.85 + [(f, g)] + debacgf + + + 17 + 3.14 + [(c, f)] + debacfg + + + 18 + 3.46 + [(d, e)] + debafcg + + + 19 + 3.66 + [(b, d)] + edbafcg + + + 20 + 3.93 + [(a, d), (f, a), (f, d)] + ebfadcg + + + 21 + 4.29 + [(c, d)] + ebfadcg + + + 22 + 4.33 + [(b, f)] + ebfacdg + + + 23 + 4.71 + [(e, f)] + efbacdg + + + 24 + 4.79 + [(d, g)] + febacdg + + + 25 + 4.96 + [(a, c)] + febcagd + + + 26 + 5.25 + [(b, c)] + febcagd + + + 27 + 5.41 + [(c, e)] + fcebagd + + + 28 + 5.42 + [(a, g)] fcebagd + + 29 + 5.50 + [(b, g)] + fcegbad + + + 30 + 5.55 + [(e, g)] + fcegbad + + + 31 + 5.74 + [(c, g)] + fcgebad + + + 32 + 5.82 + [(a, b), (a, e), (b, e)] + fgcabed + + + 33 + 5.99 + [(f, g)] + fgcabed +
    -
    -
    [ ]:
    +
    +
    [5]:
     
    -
    
    +
    All_Angles.keys()
     
    +
    +
    [5]:
    +
    +
    +
    +
    +dict_keys([5.82, 1.82, 3.93, 2.28, 2.11, 3.66, 1.19, 2.36, 4.29, 5.41, 0.0, 2.6, 0.32, 1.65, 1.57, 2.41, 2.85, 2.68, 4.96, 0.79, 5.42, 5.25, 0.52, 4.33, 5.5, 1.15, 2.27, 3.14, 5.74, 3.46, 4.79, 4.71, 5.55, 5.99])
    +
    +
    [ ]:
     
    @@ -1122,35 +1269,22 @@
    -
    [23]:
    +
    [28]:
     
    -
    x = np.pi
    -
    -x = round(x, 2)
    -print(x)
    -
    -print(str(x%1))
    -len(str(x % 1))
    +
    M = G.get_all_angles()[0]
    +np.nanmin(M)
    +np.nanmax(M)
     
    -
    -
    -
    -
    -
    -3.14
    -0.14000000000000012
    -
    -
    -
    [23]:
    +
    [28]:
     
    -19
    +5.9917285127017195
     
    diff --git a/docs/notebooks/Playing_with_Spirals.ipynb b/docs/notebooks/Playing_with_Spirals.ipynb index 156426f..2c27e84 100644 --- a/docs/notebooks/Playing_with_Spirals.ipynb +++ b/docs/notebooks/Playing_with_Spirals.ipynb @@ -125,81 +125,249 @@ " \n", " \n", " \n", - " 10\n", + " 0\n", " 0.00\n", " [(c, f)]\n", - " fgcabed\n", + " gcfabed\n", " \n", " \n", - " 12\n", + " 1\n", " 0.32\n", " [(d, e)]\n", - " dgacbef\n", + " gcfabed\n", " \n", " \n", - " 29\n", + " 2\n", " 0.52\n", " [(b, d)]\n", - " ebfadcg\n", + " gcfadbe\n", " \n", " \n", - " 30\n", + " 3\n", " 0.79\n", " [(a, d), (f, a), (f, d)]\n", - " dagbecf\n", + " gcdafbe\n", " \n", " \n", - " 31\n", + " 4\n", " 1.15\n", " [(c, d)]\n", - " dgacbef\n", + " gcdafbe\n", " \n", " \n", - " 6\n", + " 5\n", " 1.19\n", " [(b, f)]\n", - " edbafcg\n", + " gdcafbe\n", " \n", " \n", - " 14\n", + " 6\n", " 1.57\n", " [(e, f)]\n", - " gdcafbe\n", + " gdcabfe\n", " \n", " \n", - " 13\n", + " 7\n", " 1.65\n", " [(d, g)]\n", - " dabgecf\n", + " gdcabef\n", " \n", " \n", - " 1\n", + " 8\n", " 1.82\n", " [(a, c)]\n", - " ebfadcg\n", + " dgacbef\n", " \n", " \n", - " 4\n", + " 9\n", " 2.11\n", " [(b, c)]\n", + " dgacbef\n", + " \n", + " \n", + " 10\n", + " 2.27\n", + " [(c, e)]\n", + " dgabecf\n", + " \n", + " \n", + " 11\n", + " 2.28\n", + " [(a, g)]\n", + " dagbecf\n", + " \n", + " \n", + " 12\n", + " 2.36\n", + " [(b, g)]\n", + " dabgecf\n", + " \n", + " \n", + " 13\n", + " 2.41\n", + " [(e, g)]\n", + " dabegcf\n", + " \n", + " \n", + " 14\n", + " 2.60\n", + " [(c, g)]\n", + " dabegcf\n", + " \n", + " \n", + " 15\n", + " 2.68\n", + " [(a, b), (a, e), (b, e)]\n", + " debacgf\n", + " \n", + " \n", + " 16\n", + " 2.85\n", + " [(f, g)]\n", + " debacgf\n", + " \n", + " \n", + " 17\n", + " 3.14\n", + " [(c, f)]\n", + " debacfg\n", + " \n", + " \n", + " 18\n", + " 3.46\n", + " [(d, e)]\n", + " debafcg\n", + " \n", + " \n", + " 19\n", + " 3.66\n", + " [(b, d)]\n", + " edbafcg\n", + " \n", + " \n", + " 20\n", + " 3.93\n", + " [(a, d), (f, a), (f, d)]\n", + " ebfadcg\n", + " \n", + " \n", + " 21\n", + " 4.29\n", + " [(c, d)]\n", + " ebfadcg\n", + " \n", + " \n", + " 22\n", + " 4.33\n", + " [(b, f)]\n", + " ebfacdg\n", + " \n", + " \n", + " 23\n", + " 4.71\n", + " [(e, f)]\n", + " efbacdg\n", + " \n", + " \n", + " 24\n", + " 4.79\n", + " [(d, g)]\n", + " febacdg\n", + " \n", + " \n", + " 25\n", + " 4.96\n", + " [(a, c)]\n", + " febcagd\n", + " \n", + " \n", + " 26\n", + " 5.25\n", + " [(b, c)]\n", + " febcagd\n", + " \n", + " \n", + " 27\n", + " 5.41\n", + " [(c, e)]\n", + " fcebagd\n", + " \n", + " \n", + " 28\n", + " 5.42\n", + " [(a, g)]\n", " fcebagd\n", " \n", + " \n", + " 29\n", + " 5.50\n", + " [(b, g)]\n", + " fcegbad\n", + " \n", + " \n", + " 30\n", + " 5.55\n", + " [(e, g)]\n", + " fcegbad\n", + " \n", + " \n", + " 31\n", + " 5.74\n", + " [(c, g)]\n", + " fcgebad\n", + " \n", + " \n", + " 32\n", + " 5.82\n", + " [(a, b), (a, e), (b, e)]\n", + " fgcabed\n", + " \n", + " \n", + " 33\n", + " 5.99\n", + " [(f, g)]\n", + " fgcabed\n", + " \n", " \n", "\n", "
    " ], "text/plain": [ " Angle Swapped Verts Sorted list\n", - "10 0.00 [(c, f)] fgcabed\n", - "12 0.32 [(d, e)] dgacbef\n", - "29 0.52 [(b, d)] ebfadcg\n", - "30 0.79 [(a, d), (f, a), (f, d)] dagbecf\n", - "31 1.15 [(c, d)] dgacbef\n", - "6 1.19 [(b, f)] edbafcg\n", - "14 1.57 [(e, f)] gdcafbe\n", - "13 1.65 [(d, g)] dabgecf\n", - "1 1.82 [(a, c)] ebfadcg\n", - "4 2.11 [(b, c)] fcebagd" + "0 0.00 [(c, f)] gcfabed\n", + "1 0.32 [(d, e)] gcfabed\n", + "2 0.52 [(b, d)] gcfadbe\n", + "3 0.79 [(a, d), (f, a), (f, d)] gcdafbe\n", + "4 1.15 [(c, d)] gcdafbe\n", + "5 1.19 [(b, f)] gdcafbe\n", + "6 1.57 [(e, f)] gdcabfe\n", + "7 1.65 [(d, g)] gdcabef\n", + "8 1.82 [(a, c)] dgacbef\n", + "9 2.11 [(b, c)] dgacbef\n", + "10 2.27 [(c, e)] dgabecf\n", + "11 2.28 [(a, g)] dagbecf\n", + "12 2.36 [(b, g)] dabgecf\n", + "13 2.41 [(e, g)] dabegcf\n", + "14 2.60 [(c, g)] dabegcf\n", + "15 2.68 [(a, b), (a, e), (b, e)] debacgf\n", + "16 2.85 [(f, g)] debacgf\n", + "17 3.14 [(c, f)] debacfg\n", + "18 3.46 [(d, e)] debafcg\n", + "19 3.66 [(b, d)] edbafcg\n", + "20 3.93 [(a, d), (f, a), (f, d)] ebfadcg\n", + "21 4.29 [(c, d)] ebfadcg\n", + "22 4.33 [(b, f)] ebfacdg\n", + "23 4.71 [(e, f)] efbacdg\n", + "24 4.79 [(d, g)] febacdg\n", + "25 4.96 [(a, c)] febcagd\n", + "26 5.25 [(b, c)] febcagd\n", + "27 5.41 [(c, e)] fcebagd\n", + "28 5.42 [(a, g)] fcebagd\n", + "29 5.50 [(b, g)] fcegbad\n", + "30 5.55 [(e, g)] fcegbad\n", + "31 5.74 [(c, g)] fcgebad\n", + "32 5.82 [(a, b), (a, e), (b, e)] fgcabed\n", + "33 5.99 [(f, g)] fgcabed" ] }, "execution_count": 4, @@ -208,16 +376,10 @@ } ], "source": [ - "All_Angles = Spiral.get_all_angles('dict', num_rounding_digits=2)\n", + "All_Angles = Spiral.get_all_angles('dict', num_rounding_digits=2, opposites = True)\n", "keys = list(All_Angles.keys())\n", "keys.sort()\n", "\n", - "for key in keys:\n", - " other_key = round((key + np.pi) % (2*np.pi),2)\n", - " All_Angles[other_key] = All_Angles[key]\n", - "\n", - "keys = list(All_Angles.keys()) # Now the big list \n", - "\n", "pd_table = pd.DataFrame(columns = ['Angle', 'Swapped Verts', 'Sorted list'])\n", "pd_table['Angle'] = keys\n", "pd_table['Swapped Verts'] = [All_Angles[key] for key in keys]\n", @@ -226,15 +388,28 @@ "\n", "pd_table.sort_values(by='Angle', inplace=True)\n", "pd_table['Sorted list'] = [''.join(Spiral.sort_vertices(key)) for key in keys]\n", - "pd_table.head(10)" + "pd_table.head(100)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys([5.82, 1.82, 3.93, 2.28, 2.11, 3.66, 1.19, 2.36, 4.29, 5.41, 0.0, 2.6, 0.32, 1.65, 1.57, 2.41, 2.85, 2.68, 4.96, 0.79, 5.42, 5.25, 0.52, 4.33, 5.5, 1.15, 2.27, 3.14, 5.74, 3.46, 4.79, 4.71, 5.55, 5.99])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "All_Angles.keys()" + ] }, { "cell_type": "code", @@ -1171,36 +1346,24 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 28, "metadata": {}, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "3.14\n", - "0.14000000000000012\n" - ] - }, { "data": { "text/plain": [ - "19" + "5.9917285127017195" ] }, - "execution_count": 23, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "x = np.pi \n", - "\n", - "x = round(x, 2)\n", - "print(x)\n", - "\n", - "print(str(x%1))\n", - "len(str(x % 1))" + "M = G.get_all_angles()[0]\n", + "np.nanmin(M)\n", + "np.nanmax(M)" ] }, { diff --git a/docs/searchindex.js b/docs/searchindex.js index 7c9e0b1..a0520ec 100644 --- a/docs/searchindex.js +++ b/docs/searchindex.js @@ -1 +1 @@ -Search.setIndex({"alltitles": {"Acknowledgements": [[10, "Acknowledgements"]], "Authors": [[5, "authors"]], "Citing": [[0, null]], "Code style and formatting": [[1, "code-style-and-formatting"]], "Computing the ECT of G": [[13, "Computing-the-ECT-of-G"]], "Conclusion": [[1, "conclusion"]], "Constructing the embedded graph": [[13, "Constructing-the-embedded-graph"]], "Contact Information": [[5, "contact-information"]], "Contents:": [[5, null], [15, null]], "Contributing Guidelines": [[1, "contributing-guidelines"]], "Contributing to the ect Package": [[1, null]], "Dependencies": [[5, "dependencies"]], "Description": [[5, "description"]], "Documentation and tutorials": [[5, "documentation-and-tutorials"]], "Documentation guidelines": [[1, "documentation-guidelines"]], "ECC in one direction": [[9, "ECC-in-one-direction"]], "ECT": [[9, "ECT"]], "ECT on Graphs": [[2, null]], "ECT on Matisse\u2019s \u201cThe Parakeet and the Mermaid\u201d": [[10, null]], "Embedded CW complex": [[3, null]], "Embedded graphs": [[4, null]], "Erik\u2019s version": [[9, "Erik's-version"]], "Figure generation for Invitation to the ECT": [[9, null]], "GPL-3.0 License": [[7, null]], "Getting Started": [[1, "getting-started"], [5, "getting-started"]], "Installation": [[6, null]], "Installing": [[5, "installing"]], "Installing ect": [[6, "installing-ect"]], "Issue tracking and pull requests": [[1, "issue-tracking-and-pull-requests"]], "Let\u2019s draw a cylinder!": [[9, "Let's-draw-a-cylinder!"]], "License": [[5, "license"]], "Making pictures": [[9, "Making-pictures"]], "Prerequisites": [[6, "prerequisites"]], "SECT": [[9, "SECT"], [13, "SECT"]], "Table of Contents": [[5, "table-of-contents"], [8, null]], "Testing guidelines": [[1, "testing-guidelines"]], "Thresholded Figure": [[9, "Thresholded-Figure"]], "Trying Erik\u2019s stuff": [[9, "Trying-Erik's-stuff"]], "Tutorial : ECT for embedded graphs": [[13, null]], "Tutorial for exact ECT computation": [[14, null]], "Tutorial: ECT for CW complexes": [[12, null]], "Tutorials": [[15, null]], "Uninstalling ect": [[6, "uninstalling-ect"]], "ect: Euler Characteristic Transform in Python": [[5, null]]}, "docnames": ["citing", "contributing", "ect_on_graphs", "embed_cw", "embed_graph", "index", "installation", "license", 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create mode 100644 docs/doctrees/nbsphinx/notebooks_Tutorial-ExactECT_4_0.png delete mode 100644 docs/doctrees/nbsphinx/notebooks_Tutorial-ExactECT_4_1.png diff --git a/doc_source/notebooks/Tutorial-ExactECT.ipynb b/doc_source/notebooks/Tutorial-ExactECT.ipynb index ad8b21b..19a4e29 100644 --- a/doc_source/notebooks/Tutorial-ExactECT.ipynb +++ b/doc_source/notebooks/Tutorial-ExactECT.ipynb @@ -39,17 +39,7 @@ "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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u5UTq9ere0eXLl1lUVJRqdNcXX3zBFi5cyJ48ecI5ZdXpchm9SqlUsmXLljE3NzcGgPn7+7MDBw7o3C8H5Tl8+DAbNWoUY4wxuVz+xr9t586dTCQSMXd3dxYfH88hoXBVdDtO54x0mJubG3x9fQEASqVSNS0MAHh4eCAwMJBXNLV49dxRr1690KVLF5w4cQIA8Ntvv+H777+Hs7Mzz4gELy+ynTNnDh48eIADBw7AzMwMw4cPx4sXL3hHU5snT54gMzMTwMvzaQBU58tiY2NRr1497NmzB+Hh4aopm0jlUBnpsHbt2mHPnj34/fffIRaLVSfpS0tJ10/a37lzB+np6QCAFy9eYM2aNejZsyfnVKQshoaGGDBgACIjIxEXFwcHBwfk5ubik08+wc2bN3nHq5bWrVsjOjoa+/btUz1W+vN1+fJlbNq0CX369IGnpyeviDqPykiHNWrUCP/73//w008/Yd26dbhx4wYA3S+hUlFRUbh//z7at28PADh16pTe/NsAwNzcHBKJBBKJBObm5rzjqI1IJIKHhweAl1PlxMbGomXLlhg5cqRquiVd4+vri++++w4rVqzA3r17IRKJIBKJsGPHDoSEhGDmzJl69X/IA11npAcSEhJw6NAhtGjRAj169NDZ+95kZmYiODgYxcXFWL9+PUpKSqBUKpGSklLl644IfyUlJdiyZQsWLVqEzMxM/Pjjj/j66695x6q0nJwcbNq0CYsWLYK/vz/s7e0RHx+P3bt3o3nz5rzjCVZFt+NURnpCqVTqbAlJpVKsXr0aK1euhFKpxOzZszFv3rzXXiOEGb1J9RQUFGDt2rXo0KEDOnbsiAcPHsDBwUHnfrbj4+Nx+/ZtODo6okGDBnB1deUdSdCojIhOyM/PR7NmzZCRkYGJEydi3rx5qFWr1huvq86sDESYunXrhlu3biEkJASDBw/mHYdoCM3AQAQtJycHCoUCVlZWWLhwIRISErBmzZq3FhFQ+VkZiPBt374dAQEBGDJkCD755BPVaDVSM1EZEa07cuQIvLy88MsvvwAAxo4di3r16r3zfd999x3EYrHqfkdEt7m6umLfvn34/fffceLECXTo0AEKhYJ3LMIJlRHRmuzsbIwaNQp9+/aFj48PBg0aVKn3096R/hGJRPjkk08QHx+PDRs2wMDAADk5ObSXVANRGRGtSE5ORvPmzXHw4EFs2bIFR44cqdKJX9o70k916tRBly5dAABz585Fs2bN8Oeff3JORbSJyohoVFFREQDA3d0dY8aMwa1bt/D5559X+Xoh2jvSfwsWLED79u0xZMgQDBs2jPaSaggaTUc05siRIxg/fjy2b9+Obt26qe1zaWSd/mOMYffu3Zg8eTKMjY2RkJBA2wAdRaPpCDdKpRLz589H37594e3tjaZNm6r181/dO1q7dq1aP5sIw6vnkn744QdYW1uDMUYDHPQY7RkRtcrPz8fIkSMRFhaGZcuW4dtvv9XIFD6JiYk4duwYxo0bBzMzM7V/PhGe4OBgnDlzBrt27YKtrS3vOKSCaM+IVEhsbCyWLl0Kdf1OolAo8OTJE4SFhWH27Nkam0uucePGmDp1KhVRDeLn54eYmBi0bdsWiYmJavnMlStX4vz582r5LFI9hrwDEH4yMzPRo0cPZGdno6ioCEuWLKlyeURHR6Nu3bqoV68eLl68qLNTExHhCgwMxKVLl9C/f3+8//772LNnT7VmcQ8KCsJ3330HS0tL3L17Fy4uLmpMSyqLthg1mIODA77//nsAL38w58+fX6U9pA0bNqB79+748ccfAYCKiGhMo0aNEBMTgw4dOuCXX36p8h59aREBwJw5c6iIhEAz9/ZTD7rTq3asWbNGdcfRefPmVfgOnTKZjE2YMIEBYF9//bXqlueEaJpcLlfdHTcuLo4VFhZW+L1Lly5Vfb8HBQVpKiL5f3TbcVIplS0kpVLJevfuzYyMjNhvv/2mpZSEvK6oqIi5urqytm3bsrS0tHe+nopI+6iMSKVVtpD279/Pzp49q6V0hLzdpUuXmLOzM3NxcWHXrl0r83VURHxQGZEqeVchXbt2jX3zzTcVPpRHiDakpaWx1q1bM1tbWxYTE/PG81RE/FR0O05nmslrpk6dijVr1gB4c1DD5cuX0aVLF0RGRkIikXBMScjrnJyccOrUKXTo0AHGxsavPffqYIWgoCDMnTuXR0TyDjS0m7xh6tSpAIBp06YhKCgIANCrVy98+OGHaN68OY4dOwYrKyueEQl5g7W1NQ4dOgTg5ZyIt27dwvHjx6mIdATNwEDKtHbtWkybNg0AYGRkhHbt2uHw4cNURETwlixZgsWLF0MulwOgIuKJZmAg1fbqIbuSkhK0bdsWlpaWfEMRUgFKpVJVRJ9//jkVkQ6gMiJlunjxIvz8/FSF9MMPP1T5wlhCtCUoKAgLFy4EADRp0gS7d+9GdHQ031DknaiMyFtdvXoVPXv2RFBQULmDGggRkn8OVrh+/Trat2+PyMhIzsnIO2l+YF/V0dBuPm7evMns7e2Zv7//a+u+qjM1EKINZQ3flslkqu/VvLw8XvFqLBraTaokJSUFPXr0gLu7O8LDw1874Uh7SESoyhu+bWxsDJFIhKNHj6Jhw4a4d+8er5ikHFRG5DU5OTlo0qQJjh8//tZ7xlAhEaGp6HVEAQEBeO+999C/f3/k5uZqMyKpCK3sp1URHabTHoVCwWQyGWOMVejwGx2yI0JQ2ZkVEhISmI2NDevTpw+Ty+VaSEhoOiBSKYsWLWIdO3as1MzbVEjVIykqYbee5LCrKVns1pMcJimiWc8ro6pT/ISHhzOxWEzTAmlJRbfjNAMDwb59+/D9999jyZIlMDSs+LfE22ZqqM4N+mqCe8/ysfNiKqISMpCaVYBXD3CKALjbmaNLE0cM93dHo9p0cXFZqjPFT8+ePbFr1y588MEHGkpHqoLKqJIYY6qN7Z49e2Bubo5+/fpxTlV1N2/exMiRI/Hxxx9j3rx5lX7/q4WUlJQEpVIJAwMDdcfUeY+yCjB3fxzO3s+EgVgEhfLN82wMQEpWAUIvpmDbhWR0bOiAZR+1gJudufYDCxhjDElJSQCqPrPC0KFDAQDp6enIyMiAj4+PWjOSyqPpgKqgpKQE//nPfxASEoLs7GxcunQJ7u7uvGNVmkQiQYsWLWBra4u//voLFhYWVf6so0ePIjAwsFJ7VjXF7sup+D4sHnIle2sJlcVALIKhWIRF/b0wrI3ufX9pklKpxLFjx9CnT59qfc6QIUNw4cIFXL58Gc7OzmpKR15V0e04lVEVTJ48Gfn5+bCwsEBMTAyuXr0KAEhMTMSjR4/QrVs3zgkrbsuWLejevbtOlqku+DnqHn48kVjtz5kZ2BiTuzRSQyLyqvT0dLRp0wYuLi6Ijo6Gqakp70h6h+am04Dnz59j8eLFuHPnDhYtWoT3338fHTt2hEKhgEQiwdatW9GjRw/06tULBw4c4B23XDExMQCAMWPGUBFpyO7LqWopIgD48UQi9lxOVctnkb85OTnhwIEDuHnzJsaNG0eXKXBEx1QqqLi4GN9++y327t2L+fPno169enBycsLevXthYGCA5ORkXLhwAefPn4dSqcTs2bMRGhqKn3/+GU5OTrzjv+bXX3/FhAkTEBMTA39/f95x9NKjrAJ8Hxb/xuOSmxF4cXTN3w8YGEFsagEjezeYebSCpXcgDCxs3/qZC8LiEdDAgc4hqVnr1q2xefNmfP755/jmm2/QokUL3pFqJCqjCpBIJBgxYgQkEglWrVqF9evX4+LFi0hOTkb37t0BAH/88QdsbW3Rtm1bAMCZM2cwZswYnD17FkOHDn1t4ANPCQkJmDZtGiZOnEhFpEFz98dBXs75IfsPp8HI3hVMKYdCmgvZ49vIjfkTeRf3w2HgtzCr1/KN98iVDHP3xyF0LP2/qdunn36KDh060FECjugwXQXI5XIMGDAAa9euxRdffIEbN26gR48ekEgkcHd3x82bNxEREYGvvvoKAFR3QW3SpAlWr14NAIIoIoVCgc8//xyurq748ccfecfRW/ee5ePs/cxyBysY1aoLE5emMHVrDoum7WHX/Us4j1kPkbEpnu8LgkKa/cZ7FEqGs/czcT8jX5Pxayx3d3fIZDKsW7cOJSUlvOPUOBoto+DgYLRp0wZWVlZwdHTEwIEDkZCQoMlFaoStrS0+//xzeHl5QalUAgDGjx8PHx8fPH78GFFRUXBwcECPHj0AQDUqLSUlBU2bNgUA1ft42rJlC2JiYrB161aYm9OhHk3ZeTEVBuLK//JhaOOI97qOBSsuRP618Le+xkAswo4YOnekKXfu3MGMGTOwYsUK3lFqHI2WUXR0NL766ivExMTg5MmTkMvlCAwMhFQq1eRiNUosfrnKioqKEBcXBy8vLxw6dEh1/xSJRAKRSISEhASkpaXB19cXjDHV+3gaOXIkwsLC0KFDB95R9FpUQkalhnC/yqx+a0AkhuzRrbc+r1AyRCVmVCceKUfLli0xe/ZsLF68GDdv3uQdp0bR6BYyPDwco0ePhpeXF3x8fLB161akpqYiNjZWk4vVClNTU5w9exbvvfceIiMjcebMGchkMtWdUIODg2Fqaoq2bdtCJBJxHaWjUChw//59mJqaom/fvtxy1AQSmRypWQVVfr/Y2BRic2soJFllvib1RQGkMnmVl0HKN3/+fDRp0gSjR4+mw3VapNVf10tnyrWzs3vr8zKZDHl5ea99CZm9vT0+/PBD3Lt3D4mJiWjZsiUmTZqE7t274+zZs5g+fTpat24NgO85o7Vr18Lb2xtPnz7llqGmSHkhRbV/7XjHBzAAyS909+iC0JmYmGDbtm24efMmwsLCeMepMbQ2mo4xhhkzZqBDhw5o3rz5W18THByMRYsWaSuS2jRo0AAhISFISkrCiRMnMHLkSNSuXRv169fnHQ0JCQmYN28eJkyYgDp16vCOo/eK5dU7N6gsLoKyMA/GtepqdDmkfH5+foiLi4OnpyfvKDWG1vaMJk+ejJs3b2LXrl1lvmbOnDnIzc1VfT169Ehb8dSiQYMGmDhxItq1ayeIIiodPefm5qaayJRolrFh9X6kCpMuA0wJE/fyr3Wp7nLIu3l6eoIxhsOHD9PhOi3Qynf0lClTEBYWhqioKLi6upb5OhMTE1hbW7/2Rapu/fr1NHpOy+rZW6CqB2TluRnIjtoCkYkFrFr1LvN1ov9fDtG8pKQkDBw4EMuXL+cdRe9p9DAdYwxTpkzB/v37cfr0aXh4eGhyceQfhgwZAmtra7Rv3553lBrDwsQQ7nbmSHnHIIaS5ymAUgGmVEBZkIuiR/GQxEVAJBLDcdA8GJjblPled3tzWJjQ9era0LBhQ3z77bdYsmQJBgwYAG9vb96R9JZGJ0qdNGkSfv/9dxw8eBBNmjRRPW5jYwMzM7N3vl+oE6XqguLiYhgbG/OOUSMtDItH6MWUtw7vfnM6IEOITSxhZO8Ks/q+sPTpWW4RGYhFGOlfFwv7e2kgOXkbmUyGli1bwsXFBREREbzj6BxBzNpd1giyrVu3YvTo0e98f00vo4MHD6J79+6VvrXDuXPnMHToUJw9e1YQ565qmnvP8tFjzRmNfX7E9E5o6Eg33tOmgwcPYuDAgYiIiNCpWfmFQBCzdrOXtzV/46siRVTT3bx5EwMHDkT9+vXx008/VfhCYcYYZs+eDUdHR9SrV0+zIclbNapthY4NHao0C0N5DMQidGzoQEXEQf/+/REaGkqHvDWIhuQIVGZmJjw8PJCRkYGZM2dWuJSOHj2Kv/76C8HBwYKY9aGmWvZRCxiquYwMxSIs+4hmlOZBJBJhxIgRMDU1RXFxMe84eom2VgLVtWtXJCQkYPPmzRUuJYVCgTlz5uCDDz5Az549OaQmpdzszLFIzed1Fvf3ottHcLZx40a0atWKhnprAJWRgBkZGWHMmDEVLqXSGRaCg4MFMUt4TTesjTtmBjZWy2cpru6Hr61MLZ9Fqs7f3x937tzBli1beEfRO3TbcR1SUlKC0NBQLF26FA8fPgQAODo6YtasWZgwYQIsLCwEc98k8rfdl1PxfVg85EpWqQlUDcQiGIpF+HdnN6z5eihyc3Nx+vRpNGpEtx/nacSIEYiMjMT9+/fp+r0KEMQABqJe5e0pubi4YMaMGSgoqPoknUQzhrVxR8T0zgiobw8A7xzYUPp8QH17REzvjHHdmyMyMhI2Njb44IMPcO/ePY1nJmVbsmQJMjMzsW7dOt5R9ArtGemw0j2lJUuWIDk5GcCbe0pEWO49y8fOi6mISsxA6ouC1+ZEFeHlBa1dGjtiRFv3N0bNPX36FF27dqU9JAGYOnUqSkpKEBISwjuK4AniOqPqojKqmAULFiA4OBhOTk6q+fyolIRPKpMj/FwsPh3xGX7f8V/0au/3zpkVqJCEQalU0mjVCqLDdDVEVlYWVq9ejalTpyIpKalSo+8IXxYmhvCwNUJxeiI8bI0qNMVPnTp16JCdAIjFYigUCvz3v/+lW7OoCZWRjtu2bRuKi4sxa9asSo++I7qJCkkY8vPzMXHiRGzatIl3FL1AZaTjhg4dip07d8LR0VH1GJWS/qNC4s/W1hbDhw/Hr7/+Crmc7rxbXVRGOs7V1RVDhgx563PvKqXMzEwtpyXqRIXE36RJk/D48WMcPnyYdxSdR2Wkw8aNG4eNGze+83VvK6XWrVvDwcFBCymJJlEh8dWyZUu0a9eORtWpAZWRjkpNTcXmzZtRmcGQr5YSXUGuP6iQ+FqwYAE+/fTTSv0skjdRGemojRs3wtLSEsOHD6/0e42MjFC7dm0NpCK8UCHx06tXL4wePZpmPqkmKiMdVFxcjN9++w2jRo2CpaUl7zhEIKiQ+Hnw4AG+/PJLGhhUDVRGOuj48ePIyMjAxIkTeUchAkOFxIdIJMLmzZuxe/du3lF0FpWRDurbty9u3LgBT09P3lGIAFEhaZ+Hhwc+/PBD/PLLL3TuqIqojHRMcXExRCIRvL29eUchAkaFpH2TJk3CtWvXcOnSJd5RdBKVkY6ZNm0aBg4cyDsG0QFUSNrVs2dPeHh4YMOGDbyj6CQqIx2iVCrx559/0uSYpMKokLTHwMAAO3fuxHfffcc7ik6iMtIhly5dQkZGBgYMGMA7CtEhVEja065dOzRs2JB3DJ1EZaRDDh06BHt7e7Rr1453FKJjqJC0Z+XKlVi5ciXvGDqHykiHREVFoU+fPjAwMOAdheggKiTtePjwITZs2ECj6iqJykiHnD59Gj/99BPvGESHUSFpXr9+/fDw4UPcvn2bdxSdQmWkI5RKJYyNjWlyU1JtVEia1aVLF1hYWCAsLIx3FJ1CZaQj+vTpQ6N0iNpQIWmOqakpevbsSWVUSVRGOiAnJwcRERFwdnbmHYXoESokzZk7dy4dUq8kKiMdEB4eDrlcjn79+vGOQvQMFZJm+Pn5ISAggHcMnUJlpAPCwsLQqlUruLm58Y5C9BAVkmb88ccfdGi9EqiMBE6pVCIiIgL9+/fnHYXoMSok9UtJScGqVatQWFjIO4pOoDISOLFYjMTEREyZMoV3FKLnqJDUq0+fPigsLMRff/3FO4pOoDLSAba2trC3t+cdg9QAVEjq07RpU1hbW+PKlSu8o+gEKiOB++abbzB79mzeMUgNQoWkHmKxGL6+voiNjeUdRSdQGQnc0aNHkZeXxzsGqWGokNRj5syZGDt2LO8YOoHKSMAkEgnu3r0LPz8/3lFIDUSFVH19+vRB7969ecfQCVRGAnb9+nUolUoqI8INFVL1FBcX49dff8WtW7d4RxE8KiMBi42NhYmJCby8vHhHITUYFVLVGRoaYtasWTQ1UAVQGQnYoEGDsG/fPhgZGfGOQmo4KqSqoUEMFUdlJGBubm748MMPeccgBAAVUlX5+flRGVUAlZFASSQSTJ48GYmJibyjEKJChVR5rVu3RkpKCl68eME7iqBRGQnU9evX8csvv6CgoIB3FEJeQ4VUOf7+/hg+fDikUinvKIJGZSRQNHiBCBkVUsV5eHhgx44dcHd35x1F0KiMBOr27dvw9PSkwQtEsKiQKu7Ro0e4e/cu7xiCRmUkUGlpaXB1deUdg5ByUSFVzMyZM/HVV1/xjiFoVEYCNWDAAAwbNox3DELeiQrp3ZycnJCens47hqBRGQnUF198geHDh/OOQUiFUCGVz9nZGWlpabxjCBqVkQApFAocP34cmZmZvKMQUmFUSGVzcnJCbm4ujY4tB5WRAGVkZKBXr164cOEC7yiEVEpVC0kqkyM+LRfXUrMRn5YLqUyu4aTa5eLiAnt7e7rWqByGvAOQN5UeW3ZycuKchJDKKy2krl274oMPPsDp06fRqFGjN15371k+dl5MRVRCBlKzCsBeeU4EwN3OHF2aOGK4vzsa1bbSWn5N6Nq1Kx3peAfaMxKg0mPLzs7OnJMQUjXl7SE9yirAyM0X0WPNGYReTEHKP4oIABiAlKwChF5MQY81ZzBy80U8yqJDXPqMykiA0tPTIRKJ4OjoyDsKIVX2tkLafTkV3VdH4/yDl4erFMp/1tDrSp8//+AFuq+Oxu7LqRrPrSmtWrXCr7/+yjuGYFEZCVTLli1haEhHUYlue7WQuk75AbP3xUEmV76zhP5JoWSQyZWYvS8OP0fp5sCIvLw8PHz4kHcMwaIyEqAvv/wSV69e5R2DELWoU6cOpq77AwatBqrl8348kYg9OriH5OTkRMO7y0G/ehNCNOpRVgFWRT8q9zXFGQ+Rd/kgilLjoJBkQSQ2gJGdC8w9O8LSpycMzF4fwLAgLB4BDRzgZmeuyehqRWVUPtozEqCuXbtixowZvGMQohZz98dBXs5hufzr4UjfNg3F6Ymw8R+E2kMXodageTBv2h6Sa8fw4ujaN94jVzLM3R+nydhq5+joiOfPn/OOIVi0ZyRA+fn5NN080Qv3nuXj7P2yhzTLntxB1vEQmHq0guOg7yAy/HtiYDOPVrB+/yMUPnjzkLVCyXD2fibuZ+SjoaNuDPueOnUqRo8ezTuGYGl0z+jMmTPo168fnJ2dIRKJcODAAU0urlz16tVD06ZN0bJlS3h6euLTTz+FVCrF6dOnYW5ujlatWsHLywteXl6YMWMGsrOzuWWVy+U0eIHohZ0XU2EgFpX5fO75PwCRCPa9Jr9WRKVEBkYwb+T/1vcaiEXYEaM7544aN26MNm3acFm2Lmz/NFpGUqkUPj4++PnnnzW5mArbu3cvrl+/jtu3byMvLw/btm0DADRr1gzXrl1DfHw8YmJiUFBQgG7dukGhUHDJSWVE9EVUQkaZI+eYUoGi1JswrtMQhta1Kv3ZCiVDVGJGdSNqzcmTJ7FixQpuyxf69k+jW7zevXujd+/emlxElchkMkilUrz33ntvPGdlZYX169ejYcOGCA8PR58+faq1LMZYpeejkslkYIxV+lCdubk5RKKyfwslRJskMjlSy7lQVVmYB1Yig6FN7SovI/VFAaQyOSxMtPvLW1V+rk+dOoUdO3Zg8uTJlV6eOn+2tbn9qwxB/fotk8kgk8lUf8/Ly1Pr5w8ZMgSmpqZ4+PAh/Pz8MHToUPz1119vvM7IyAgtW7ZEfHx8tf8zCgoKYGlpWen33bt3D+vXr6/UeyQSCSwsLCq9LEI0IeWF9I2ZFdSNAUh+IYWXs42Gl/S6qv5cA6jS+9Txs81j+1cZghpNFxwcDBsbG9WXm5ubWj+/dDf1xYsX8PDwwLffflvmaxnT9I8RIfqtWK4s93mxmTVERiaQ5z7T6HLIS0Lf/gmqjObMmYPc3FzV16NH5V+bUFWGhoYYPHgwwsPD3/p8SUkJrl+/jubNm1d7Webm5pBIJJX6mj9/Pnbt2lXp95mb6841F0T/GRuWv3kRiQ1gWtcHxU/vQ55X9UlE37UcTajKz/W8efNQu3btSr9P3T/b2tz+VSqXVpf2DiYmJjAxMdHKsiIjI9GkSZM3HpdIJJg5cyYcHBzQs2fPai9HJBJVevf6f//7H/r06UN3eiU6rZ69BURAuYfqbNp9jMKkK3gRvh6Og7+DyOD1EXVMIUfhg9gyR9SJ/n852laVn+s2bdqgsLBQEIfStbX9qwxBlZGmlR4zLSkpQb169fCf//wHSUlJuH37Nlq2bImSkhIwxtCzZ0+cOnUKBgYGXHIaGhqipKSEy7IJURcLE0O425kjpZxBDCYunrDrOQlZJzYgfds0WLX6EEYO7mBKBYqfJUFyPRxGDnXLLCN3e3OtD16oqgEDBmDAgAHcli/07Z9G/xclEgnu37+v+vvDhw9x/fp12NnZwd3dXZOLfkNycvJbH3dzcxPc3RcNDQ0hl+vXzcVIzdSliSNCL6aUOzGqVcteMHFqjLzLB5EbsxcKaTZEYkMY2bnAotkHsPLr+9b3GYhF6NJYd2a2f/r0KaRSKRo0aKD1ZevC9k+jZXTlyhV06dJF9ffSKW5GjRqlGuNO3mRkZERlRPTCcH93bLuQ/M7XGdeuD4e+0yv12Qolw4i22v2ltjpWrFiBEydOID4+nncUQdJoGX3wwQc0Kq0Khg0bRjfWI3qhUW0rdGzogPMPXlT6thHlMRCLEFDfXmemAgJeXrpiZPTmLBPkJd042FrD0CSpRJ8s+6gFuq+OVmsZGYpFWPZRC7V9njZkZGTQDTPLIaih3eSltLQ0XLp0iXcMQtTCzc4ci/p7qfUzF/f30qnbRwAv7+Ds5OTEO4ZgURkJ0ObNm9GvXz/eMQhRm2Ft3DEzsLFaPuubwCb4VxvdOVdUqqCggA6/l4MO0wmQk5MTnj9/jpKSEjrGTPTG5C6N4GBpgu/D4iFXskodtjMQi2AoFmFxfy+dLCIAuHbtGp1DLwftGQmQs7MzGGN49qx606QQIjTD2rgjYnpnBNS3B4Byby/x6vMB9e0RMb2zzhZRKZrIuGxURgJUelw5PT2dcxJC1M/NzhyhY/1xclonjPSvi7r25vjnJloEoK69OUb610XE9E4IHeuvc+eIXpWQkABPT0/cunWLdxTBosN0AuTs7Kyaw4oQfdWothUW9vfCQnhBKpMj+YUUxXIljA3FqGdvoTMzK1TEo0ePcPfuXZo/shz687+tR2rXro2nT5/yjkGI1liYGGr9NhDalJaWBgA0mq4cdJiOEEI0LD09Hba2tjAzM+MdRbCojATqo48+wtdff807BiFEDdLS0mhY9zvQYTqBUigUePDgAe8YhBA1mDhxIgYPHsw7hqDRnpFAubi4aOzmgoQQ7WratCk6derEO4agURkJlJeXF+7evYvi4mLeUQgh1aBUKjFjxgzExcXxjiJoVEYC5efnh+LiYrougRAdl5iYiNWrV9NF7O9AZSRQrVq1wuXLl7V+H3pCiHrFxsYCAHx9fTknETYawCBQpqamaN26Ne8YhJBqio2NRf369WFnZ8c7iqDRnpGA7d27F1999RXvGISQaoiNjYWfnx/vGIJHZSRgT58+xaZNm2gQAyE6bNCgQRg+fDjvGIJHh+kE7NVBDHS8mRDdNHXqVN4RdALtGQmYj48PxGKx6gQoIUS3xMfH49SpU7xj6AQqIwEzNzdHs2bNqIwI0VGbN2/Gl19+yTuGTqDDdAK3aNEi2Nvb845BCKmC2NhYGhVbQbRnJHCDBg1C586deccghFSSUqnEtWvXaCRdBVEZCVxhYSHWr1+P27dv845CCKmE+Ph45Ofn055RBVEZCZyRkREWLlyIXbt28Y5CCKmEnJwcBAQEoH379ryj6AQqI4EzNDREnz59EBYWxjsKIaQSOnbsiHPnzsHU1JR3FJ1AZaQD+vXrh5s3byI5OZl3FEJIBeTk5ODmzZtgjPGOojOojHRAz549YWRkhEOHDvGOQgipgH379qFly5bIzMzkHUVnUBnpAGtrayxevBgtWrTgHYUQUgFhYWEICAhArVq1eEfRGXSdkY6YPXs27wiEkAooLCzEiRMnsHDhQt5RdArtGekIxhj++OMPxMTE8I5CCCnHqVOnUFhYiP79+/OOolNoz0hHiEQiLFu2DM2bN0fbtm15xyGElCEvLw8ffPABmjRpwjuKTqE9Ix3Sv39/HD16FHK5nHcUQkgZPv30U0RFRUEkEvGOolOojHRI//79kZ2djXPnzvGOQgh5i6dPnyItLY13DJ1EZaRDfH194ezsjIMHD/KOQgh5i59//hne3t5QKBS8o+gcOmekQ8RiMb755hvUqVOHdxRCyD/I5XL897//xcCBA2FgYMA7js6hMtIx06ZN4x2BEPIWR44cwaNHjzBp0iTeUXQSHabTQfHx8QgKCuIdgxDyipCQEPj7+8PX15d3FJ1EZaSD7t69i++++w43b97kHYUQgpeH6GrVqoWvv/6adxSdRWWkg/r37w9nZ2ds2LCBdxRCCF7Orr9jxw58+umnvKPoLCojHWRkZIRx48YhNDQUeXl5vOMQUqMVFBQgNDQURUVFvKPoNCojHfXFF1+gqKgIoaGhvKMQohfS0tIglUor/b49e/Zg1KhRePLkiQZS1RxURjrKxcUF27ZtQ9++fXlHIUQvTJo0CfXr18dPP/1UqVIKCQlBr1690KBBAw2m039URjpsxIgRqFu3Lu8YhOi8vLw8xMXFISMjAzNnzqxwKV2+fBlXrlyh4dxqQGWk4zZv3kzXHhFSTdbW1rh79y42b94MDw+PCpdSSEgI6tati969e2s5sf6hMtJxUqkUv/zyC82HRUg1GRkZYcyYMUhISKhwKQUGBmLp0qU044IaUBnpuM8++wwWFhZYvnw57yiE6IXKlNInn3yCESNGcE6sH6iMdJytrS1mzZqF//znP3j48CHvOO8klckRn5aLa6nZiE/LhVRWc2+HIZXJ8TCnBMZOjfEwp6RGrwshKq+U6tWrh5YtW+L+/fu8Y+oNEWOM8Q5Rlry8PNjY2CA3NxfW1ta84wiWVCpFw4YNMX78eEHe6vjes3zsvJiKqIQMpGYV4NVvOBEAdztzdGniiOH+7mhU24pXTK2gdaG7SkpKEBoaiqVLl6p+8atVqxa+/fZbTJgwARYWFpwTClNFt+NURnoiNTUVbm5ugrqh16OsAszdH4ez9zNhIBZBoSz7W630+Y4NHbDsoxZwszPXYlLNo3WhP+Lj49GiRQu89957yMrKAgA4Ojpi1qxZVEpvUdHtOB2m0xPu7u4QiUSIi4vjHQUAsPtyKrqvjsb5By8AoNyN76vPn3/wAt1XR2P35VSNZ9QWWhf6ZdGiRXB1dUVycnKlR9+RslEZ6ZHTp0/D29sbZ8+e5Zrj56h7mL0vDjK58p0b3n9SKBlkciVm74vDz1H3NJRQe2hd6Jf09HQcOnQIixYtgpWVVaVH35Gy0WE6PaJUKtGmTRuYmprir7/+4nLIbvflVMzep769sxWDWuBfbdzV9nnaROtCPz169AjOzs5vDOd+2zklOnxH54xqrJMnTyIwMBAHDx5E//79tbrsR1kF6L46GjK5sszX5F0JQ3bERhg5uMP5i5B3fqaJoRgR0zvr3HmT8taF5GYEXhxd89pjYjNrGDm4w9p/EMwbvv/Wz9TVdaEvHjx4gDp16sDcvPz1X1Ypbdy4EQMGDNBGVEGhc0Y1VPfu3dG1a1fMnTsXCoVCq8ueuz8O8nccipLcPAkAKMlMhSwt4Z2fKVcyzN0vjPNglVGRdWH/4TTUGfkj6oxcCftekyESi/F872IU3Lv41tfr6rrQB4wxDB06FMOHD3/na8saEu7uTnu15aEy0jMikQjLly/HgAEDUFxcrLXl3nuWj7P3M8s9LyJLv4eSjIcwa9AGACC5ceKdn6tQMpy9n4n7Gflqy6ppFVkXAGBUqy5MXJrCxMUT5k0CUGvI94CBEaR3zrz19bq4LvTF3r17ERsbi+nTp1f4Pa+W0vHjx9GqVSsNJtR9WimjkJAQeHh4wNTUFH5+ftxPsOu7Nm3aICgoCGZmZlpb5s6LqTAQl3+OSnLzZfnYfjAKJi6ekN45A2XJu+8BYyAWYUeM7owoq8i6eBuRoTFEBoYQicueWkbX1oU+KCwsxNy5c9G7d2906tSp0u83MjJCYGCgBpLpF42X0Z49ezBt2jTMmzcP165dQ8eOHdG7d2+kptIPlKatXr1aa5OoRiVklLsnoCyRQXr7DIydGsG4Vj1YePcAKy5Ewd1z7/xshZIhKjFDnXE16l3rQoUpwZQKMIUc8rxMZEdsBCuRwaJZ5zLfomvrQh/Mnz8fjx49wqpVq3hH0WuGml7AqlWrMHbsWHzxxRcAgDVr1uD48ePYsGEDgoODNb34Gs3Y2Bhr165Fv3790K1bN40tRyKTIzWroNzXFCScA5NJYen98jdEC8+OyD71GyQ3TsCyxbuzpb4ogFQmh4WJxr9lq6Ui66LU0//++/UHDIxg12MCzOr7lfs+XVkX+qJ3797w9PRE06ZNeUfRaxr9bi4uLkZsbCxmz5792uOBgYE4f/78G6+XyWSQyWSqv9Mttatn4sSJ2Lt3L8aOHYu4uDhYWWlmepmUF1K8az9AcuMERIYmsPB8eZhDbGwG8ybtIY2LQEnWExjZuZT7fgYg/FwsPGyN1BNaQx7mlLxzXZSy7zsDRvZuAABlYR4KEi8g68QGMKaAtV+/Mt/HACS/kMLL2ab6gUmZiouLYWhoqNFf5CqDMaa6XGPPnj0wNzdHv35lf5/oGo2WUWZmJhQKBWrXrv3a47Vr18bTp0/feH1wcDAWLVqkyUg1ilgsxpYtW9CiRQvMmjULGzZs0MhyissZyg0AJdlpkD2Kh3mTAAAMyiIJAMCi6csyktw8ifc+GP3O5Xw64jMUpyeqIbHmGDs1htOoih3OMbJ3g4lTI9Xfzer7QZ6bgZyobbD06gKxqWWZ733XOifVN3fuXNy5cweHDx8WxDRbIpEIJSUl+M9//oOQkBBkZ2fj0qVLejNKTyv7+f/8j3y14V81Z84czJgxQ/X3vLw8uLm5aTyfPvPw8MCKFSsQHh4OuVwOQ0P1/5cbG5Z/6vHlcG6GgoRzKEh48xyR9FYkbDuNLPfEPQD8vuO/OrFn9O+TmVV+v7FjPRQ9vIqSrCcwcW5S9uvesc5J9Zw/fx6rVq3CihUrBFFEpaZPn478/Hx06dIFMTExqiJKTEzEo0ePBLMXVxUaLSMHBwcYGBi8sReUkZHxxt4SAJiYmMDExESTkWqkSZMmYdKkSRr7oapnbwER8NbDU0ypgDTuFAxtnWDfe8obzxcmXUbepf0ofBBb5sWewMsZrXu19xP8eZImMjlmnjxe4UN1/1T87OVFkmLzsg/BifBynRPNKCwsxOeffw5/f//Xfjnm6fnz59iwYQPu3LmDzZs34/Tp0zAyMoJCoUBhYSG2bt2KFStWIDAwEBMmTMDAgQN5R640jf56ZWxsDD8/P5w8efK1x0+ePImAgABNLpq8QiQSQSQS4ejRo/j+++/V/vkWJoZwL2NWgMIHsVBIsmDZsidM63q/8WXddghgYPTOa47c7c0FX0RA+evin0qep0D25C5kT+6i4P5lZB5di6LkazBr3A5GtnXKfJ+urAtdNX/+fKSkpGDr1q2CuINrcXExvv32W/z444/o1asX6tWrBycnJyQlJcHAwADJycm4cOECzp8/jwULFmDVqlUYPHgw0tPTeUevFI1/R8+YMQMjR45E69at0a5dO2zcuBGpqamYMGGCphdN/iE5ORmLFy9G586d0bVrV7V+dpcmjgi9mPLGkGbJjROAgSEsvXu89X0G5jYwb9wOBQnnoJBmw8DivTdfIxahS2NHtebVpLLWxT+9OiWQyMQChja18V7XL2Dl26fM9+jautBFdevWxQ8//CCI0XMSiQQjRoyARCLBqlWrsH79ely8eBHJycno3r07AOCPP/6Ara0t2rZtCwA4c+YMxowZg7Nnz2Lo0KFlnhYRGq3MTRcSEoIffvgB6enpaN68OVavXl2hi8dobjr1UiqV6N69Ox48eKD20XX3nuWjx5q3zxygDhHTO6Gho27cbI7WhW4S4kY7JycH+/fvx/vvvw8vLy8AwK+//orVq1fj66+/RocOHTBhwgQsWrQIPXr0gEQigaWlJVasWIEDBw7gwoULnP8FApubbtKkSUhOToZMJkNsbGyVrmIm1ScWi7F582ZkZmbi66+/hjp/D2lU2wodGzpUaeaB8hiIRejY0EGnNr60LnTTtGnT3rgMhTdbW1t8/vnn8PLyglL5cgTl+PHj4ePjg8ePHyMqKgoODg7o0ePlkYfSmcFTUlJUe3al7xM6GpJTw3h4eCAkJATnz59HTk6OWj972UctYKjmDbChWIRlH7VQ62dqA60L3bJ582asW7dO0MOkxeKXm+uioiLExcXBy8sLhw4dwsKFCwG8PKQnEomQkJCAtLQ0+Pr6gjGmep/Q6UZKolafffYZbty4gffee/P8THW42ZljUX8vtX7m4v5eOnnLBFoXuuPcuXOYOHEixo8fj4kTJ/KO806mpqY4e/Ys3nvvPURGRuLMmTOQyWSwtHx5XVpwcDBMTU3Rtm1biEQitR4B0SQqoxrK1NQUjx8/RteuXZGUlKS2zx3Wxh0zAxur5bO+CWyi0zeTo3UhfI8fP8agQYPQrl07rFu3TnDnjMpib2+PDz/8EPfu3UNiYiJatmyJSZMmoXv37jh79iymT5+O1q1bA3jzOk+hojKqwSwsLPD48WP079+/2lMv7d27V3XLisldGmH5oBYwMRRX+ryJgVgEE0MxVgxqga+6NKxWJiGgdaEZcrkcf/zxR7V/67e3t8fw4cOxd+9eGBsbqymd9jRo0AAhISE4fPgwWrRogSVLluDkyZPw9/fXmRIqRXd6reHu3r0Lf39/dO7cGQcOHKjS8eVly5Zh3rx5GDBgAP7880/VtRmPsgowd38czt7PhIFYVO5Q59LnOzZ0wLKPWujd4ShaF+rDGMPw4cOxa9cuzJs3D0uWLKn0hpcxhuTkZHh4eGgoJSklqNF0RLiaNm2KXbt24fDhw/juu+8q/f7SIgKA999//7WLBN3szBE61h8np3XCSP+6qGtvjn9uMkQA6tqbY6R/XURM74TQsf56ufGldaE+IpEI/v7+AICgoCDMnz+/0ntIy5Ytg7e3N549e6aJiKQqmIDl5uYyACw3N5d3FL23evVq9scff1TqPUFBQQwvZwFiQUFBFXqPpKiE3XqSw66mZLFbT3KYpKikKnH1Aq2L6lmzZo3q+2/evHlMqVRW6H0HDhxgANjChQs1nJAwVvHtOJUReY1SqWRPnz595+uqUkSEqFtlCykuLo5ZWlqywYMHM4VCoaWUNRuVEamS4OBg5uLiwtLS0sp8DRUREZKKFpJSqWStW7dmPj4+TCKRaDllzUVlRKrkyZMnzNXVlTVr1oxlZGS88TwVERGiihbS/fv3WXJyspbT1WxURqTKEhISWO3atZmPjw978eKF6nEqIiJkZRVSbm4umzJlCsvPz+ecsGaiMiLVcuvWLebg4MDmzJnDGKMiIrrhn4WUl5fH2rdvz2xsbFhcXBzveDVSRbfjdJ0RKdP9+/dRt25drFy5UjV8OygoCHPnzuWcjJCyrV27FtOmTQPw8nYQmZmZiIiIUN1igWgXXWdEqq1hw4avFdH8+fOpiIjgTZ06FT/99BOAl7NXDxo0SHVdEhEuKiNSplcvaDUxMcGJEyfUPtM3IZowY8YM9O/fHwAQGhpapQtjiXZRGZG3erWIgoKCcO7cOSQmJqJr16548eIF53SEvF1OTg7+/PNPAMDBgwexZs0aAFWfqYFokRbOX1UZDWDgo6zBCjdu3GC1atViXbt25ZiOkLfLzMxkvr6+zN7enmVlZaker+pMDUQ9KrodN+RZhER4/rlH9Oo5Im9vb0RHR0Mmk/GKR8hbpaSkoG/fvnj27BlOnTr12r26pk6dCuDlnVyDgoIAoEqTqxIN01I5VgntGWlXZYZvy2QyNmDAAHby5EktpSPk7a5evcocHByYh4cHu337dpmvoz0kPiq6HadzRgRA+XtEbyOTySCTydCrVy+sW7eOjsUTburXr4+PPvoIly9fhqenZ5mvmzp1Kp1DEjKtVGMV0Z6RdlT1gla5XM7+/e9/MwBszJgxrKioSIMpCflbcXExmzVrFktKSqr0e2kPSbtoBgZSIeqYWWH79u3M2Ni40regIKQqnj9/zrp06cIMDQ2r/D1HhaQ9VEbknZ4/f85q1aqllil+Xv0N9cmTJ9WNRshbxcXFMQ8PD+bg4MCio6Or9VmlhfTee++xx48fqykh+ScaTUfeycHBAZGRkYiIiFBNn1JV9evXBwCEhYVh2LBh2Lp1K/71r3+pISUhLxUWFqJHjx5wdHREZGQk6tWrV63Pmzp1KoyNjeHv7w8XFxf1hCRVRnPTEbUqLCzEl19+iZ07d2Lu3LlYsmQJxGIaJ6PPJBIJQkJC0L17d/j6+qr98xljKCkpgbGxMc6fPw9vb29YWlqqfTlEM2huOsKFmZkZQkNDsWLFCgQHB6Nr167IyMjgHYto0DfffINvv/0WCxcuVPtnp6amomfPnvjyyy8BAAEBAVREeorKiKidSCTCrFmzEBkZCRsbG9ja2vKORDRo+vTpEIvFOHToEGJjY9XymYwx/Pbbb2jevDnu3LmDTz/9VC2fS4SLyohozAcffICDBw/C2NgYN27cQI8ePZCUlMQ7FlGzxo0bY/jw4QCARYsWVfvz5HI5evfujXHjxmHo0KG4desWevbsWe3PJcJGZUS0orCwEPfv34e3tzfWr18PpVLJOxJRo++++67ae0eMMSiVShgaGqJTp044duwYNm3aBBsbGzWnJUJEZUS0om3btoiLi8Po0aPx9ddfo0uXLkhNTeUdi6hJdfeOUlJSEBgYiHXr1gEA5s6di169eqk1IxE2KiOiNZaWlvjll19w6tQpSKVSGBsb845E1Kgqe0eMMWzcuBEtWrTA3bt3y53Oh+g3KiOidV27dsXly5dRp04dvHjxAh9//DHu3LnDOxappsruHUmlUgQGBmL8+PE6f24oNzeXdwSdR2WkZwR82dhrSqfvf/z4MWJjY9G8eXN88cUXePToEedkpDoqsndUenNGc3Nz1KpVS+fPDUVGRsLFxQXh4eG8o+g0KiMdlpqaiqSkJJw5cwYFBQUAXm7kdaWQAMDHxwd37tzBqlWrcPDgQTRq1Ai//fYb71ikisrbO8rJycG8efPg7u6OqKgoiEQi/P777zp9big6Ohpz5szBkiVLMH/+fBw7dox3JN2l4WmJqoXmpivb4cOHWfv27dnAgQOZnZ0dGzZsGNu+fbvqeV2c+DE3N5d9//337MKFC4wxxu7fv88kEgnnVKSyEhISmFgsZgDYlStXWGFhIVu5ciWzs7NjZmZmbM6cOSw7O5t3zGo7e/Yss7GxYXv37mWMMRYTE8OaNWum+v4lL9FEqXrs+PHjrHnz5iw6OpopFAqWkpLCZsyYwQYNGsR27NjBO57aBAQEsDp16rANGzaw4uJi3nHUTqlUMolEwiQSiU7+8lCekSNHMgCsX79+LDg4mBkYGLAJEyawtLQ03tHUIjIyknl7e7Np06axzp07s4yMDMYYY8OGDWPbtm3jnE5YqIz01PHjx1mtWrVYYmIiY4yp7iH0+PFjNmXKFDZixAi92bA9ePCAjRgxgolEItawYUO2e/duplAoeMdSG4lEorqNgT7tASqVSvbzzz8zkUjEALDTp0+rvl/1walTp5ivry87d+4cY4yx9evXszp16rBBgwaxfv36VXs2cX1Dd3rVQ1lZWcjIyMCLFy9UJ4ENDQ2hVCrh4uKCyZMn4+DBg7h69SrnpOrh4eGB0NBQXL9+HU2aNMGUKVNU58YUCgXndOSfZDIZdu7cCX9/f0yePBmurq4AgJ9++gmNGjXinE49CgsLMWrUKPTs2RMBAQEAgMmTJ8PHxwejR4/G6NGjcfXqVUybNg0hISE4c+YM58S6g8pIR4SHh2PChAnw8vLC9u3b0a9fPxw6dAgGBgZQKpWQy+VwdnZGt27d4O7uzjuuWnl7e+Pw4cO4desWLC0t8fTpU7i6uuKbb76h6YUE4sWLF3Bzc8OIESNgZWWFiIgIREREqH3OOt7MzMxw/PhxREZGYu/evQCA+Ph4uLm5oaioCDNmzMD169eRlZUFpVKJMWPG4MiRI5xT6wgt7alVCR2me+nIkSPM09OTHTp0SHUTu02bNjEHBwd28OBB1eu2b9/OunbtyrKysnhF1YqnT5+ymTNnMjs7OwaA9erVix0+fJh3rErT5cN0CoWCHT16lE2cOFF1WHjVqlXszp07r73u1XNH+uTWrVvMx8eHjRgxgg0ePJjVr1+fWVpasokTJ7K8vDzV6/766y/WokULFhERwTEtX3TOSE/cuHGDNWnShJ09e/aN50oL6cKFC+zEiRPM29ub3bx5k0NKPgoKCtjWrVtZmzZt2Mcff8wYY0wmk7Fnz55xTlYxulhGmZmZ7IcffmD169dnAFjLli3LXd//HFmnT+7du8c2btzItm3bxlavXs0mT57MMjMzVeVcUlLCGGNs7969bNGiRUwmk/GMyw2VkZ44fPgwGzVqFGOMMblc/sbghJ07dzKRSMTc3d1ZfHw8h4TCIJVKGWOM7dq1ixkZGbFPP/2UnT17VtADHnSljEq/55RKJWvUqBEzNjZmI0eOZBcuXKjQYBl93Tt61dKlS8v89z148ICFh4drOZFw0AAGPfHkyRNkZmYCAAwMDABANeN1bGws6tWrhz179iA8PBzNmjXjlpM3c3NzAEBgYCCWL1+OS5cuoWPHjnBxcVFNvkkqTiaTITw8HJMmTYK7uzsePnwIkUiEbdu24fHjx/jvf/+Ltm3bqmbSKI86ZvQWOjc3N9VdbpVK5WsXnnt4eCAwMJBXNJ1BZSRwrVu3RnR0NPbt26d6rHQDcPnyZWzatAl9+vShCSb/n52dHWbMmIGEhARER0dj+PDhcHR0BACcOXMGAwYMwObNm/Hs2TPOSYXryy+/hIODA3r37o3w8HAMGTJE9YtQQEAAatWqVanPU/f9joSoXbt22LNnD37//XeIxWLVz2hpKVWktGs8reynVREdpntp+fLl7P3332f/+9//VI+FhoayFi1a1OhDc5UVERHB2rdvz0QiEROJRKxt27ZcL1DkfZhOqVSyO3fusBUrVrBOnTqpBr4sWbKELVu2jN26dUtt16zp87mjUnFxcczX15etXbuWXb9+nXccwaBzRnokOzubrVy5kllaWrJu3bqxoUOHMi8vLxYXF8c7mk7KyMhg27ZtY4MGDWLLly9njDF2584dNm7cOPbrr7+yK1euaOVks7bLSC6Xq/48a9Ys1qhRIwaAmZmZsQEDBqhGampKTTh3dPfuXbZy5UoWHh4u6POV2lTR7biIMeHOqpmXlwcbGxvk5ubC2tqadxzu4uPjcfv2bTg6OqJBgwaqiwpJ9YWHh2PWrFmIj4+HUqmEkZERBg8ejF27doExhuvXr8PLy0ut92CSSqWwtLQEAEgkElhYWKjtsxUKBW7evInY2FjVV2JiIp4/fw4jIyOMGTMGhoaG6N+/P7p16wYzMzO1LbssiYmJ8PT0hFKpxJUrV+Dn56fxZfKgVCohFtMZkFIV3Y5TGRHyioKCAty4cQOxsbEwNTVV3dbC3d0dRkZGaNGiBfz8/NC6dWt8+eWXEIlEKCwshKmpaaXPC1S3jBhjyM/PR3p6OtLS0pCUlASFQoHx48cjJycH7733HsRiMTw9PeHn5wc/Pz988cUXqsEePHz22WcIDQ1Fv379EBYWxi0H0R4qI0LUpLi4GFevXkVsbCyuXLmC2NhYPHnyRDUlk5eXF5KTk+Hk5AQnJyc4Oztj9uzZaNWqFe7evYvHjx/D2dkZ1tbWMDQ0hIWFBaysrJCfn6/6vn727BlMTExQUlICuVwOBwcHGBoa4vr167h16xbS0tKQnp6O9PR0DBo0CEOHDsX+/fsxaNAgVU6xWIzu3bvj+PHjAF4OcGnWrJla97iqKzExET169MCsWbMwadIkOrFfA1R0O26oxUyE6CRjY2O0bdsWbdu2VT1WXFys+nNQUBAePnyoKou0tDTV8Pvt27dj+fLlr33e559/ji1btiAhIUH1WO3atV97zZ07d9C0aVOsXbsW27Ztg7W1NZydneHk5AS5XA4AeP/997Fr1y7V4y4uLq/t9bRp00Z9K0FNGjdujAcPHqhG5xFSivaMCNGgwsJCVUFJpVKUlJTAxcUFrVq1wpMnT1Tn/bZu3QpLS0sYGhrC0NAQnTt3hpWVFbKzs2FiYsL10Boh1UGH6QgROE0OYCBEKCq6HachH4QQQrijMiKEEMIdlREhhBDuqIwIIYRwp9EyCgoKQkBAAMzNzWFra6vJRRFCCNFhGi2j4uJifPzxx5g4caImF0MIIUTHafSi19Lp4rdt26bJxRBCCNFxdM6IEEIId4KaDkgmk0Emk6n+npeXxzENIYQQban0ntHChQshEonK/bpy5UqVwgQHB8PGxkb15ebmVqXPIYQQolsqPR1QZmYmMjMzy31NvXr1YGpqqvr7tm3bMG3aNOTk5JT7vrftGbm5udF0QEQv0XRApCbQ2KzdDg4OcHBwqFa4spiYmMDExEQjn02I0Jibm0Mikaj+TN5EN6qrOTR6zig1NRVZWVlITU2FQqHA9evXAQANGzZU/UZISE0lEolob6gceXl5sLa2hlQqxZ07d1CvXj1IpVLUrVuXdzSiARotowULFmD79u2qv7dq1QoAEBUVhQ8++ECTiyaE6BilUomQkBAUFBTg7t27yMzMhJ2dHU6cOIEBAwYgKioKFhYWiI2N5R2VaIBG93+3bdsGxtgbX1REhJB/EovFsLCwQHJyMrKzs3Hr1i18/PHHOHfuHLp06YKUlBS0b98ehYWFvKMSDaD7GRFCBEOhUKjuAuvt7Y19+/ahYcOGGDt2LBo0aIC5c+dyTkgqi247TgjROQYGBqpBCxMmTMAnn3wCFxcXiEQirF27lnc8okE0TIUQIigikQgAMGnSJEilUjRu3Bh79uzBwYMHsXTpUuzYsQPZ2dmcUxJ1ozIihAgKYwxFRUUYM2YMrKysUFhYCFdXVyxatAi5ubn46aefMH78eBw7dox3VKJGVEaEEEERi8XIzs5Geno6FixYgLS0NCxZsgTXrl3DypUrce3aNQwZMgSLFy/mHZWoEZURIURwnJycsGnTJpw6dQpyuRyjR49+7ZqsoUOHwsLCAmFhYRxTEnWiMiKECFKtWrWQlZWFpUuXwsTEBKUDfxUKBQDgs88+Q3R0NM+IRI2ojAghgmRsbAzGGP78808ALy+KBaAa+l27dm0MHjyYWz6iXlRGhBDBWrBgAQ4cOICcnBxVCZWWkr+/PwICAnjGI2pEZUQIEawGDRqgS5cuWLVqFa5duwYAqolTbW1tOSYj6kYXvRJCBG3JkiVISkqimc31HJURIUTQLC0t4ePjwzsG0TA6TEcIIYQ7KiNCOPnwww+xd+9eyOVy3lEI4Y7KiBBO+vbti1WrVsHFxQX//ve/ER8fzzsSIdxQGRHCyaRJk3D+/HkYGxvD1NQUvXr1Qrt27bBp0ybV7cgJqSmojAjhzMjICEFBQUhNTcWCBQuwY8cOODk58Y5FiFbRaDpCOGOMQS6X4+jRo9iyZQvi4uLwySef8I5FiFZRGRHCUXx8PHJycuDu7o4GDRpg7Nix+P333+maGlLjUBkRwomfnx+ePHmCcePGYcyYMWjSpAnvSIRwQ2VECCfz58+HpaUljIyM8PTpUzx9+vS15zt37swpGSHaR2VECCcjRoyAp6en6jbb8fHx8PLyUv1ZKpXyjEeIVlEZEcJJ48aNcfnyZdXffX19cenSJdWfCalJaGg3IZyU3iyulEwmK/M5QvQdlREhnBQXFyM3NxcAkJaWhgcPHuD27dtIT0+nKYJIjUOH6Qjh5F//+hf8/Pzg5+eHixcvYv369ejUqRMkEgl+/vln3vEI0SoRE/DxgLy8PNjY2CA3NxfW1ta84xCidocPH0ZCQgK6deuGli1bori4GCUlJbCwsOAdjRC1qOh2nMqIEEKIxlR0O07njAghhHBHZUQIIYQ7KiNCCCHcURkRQgjhjsqIEEIId1RGhBBCuKMyIoQQwh2VESGEEO6ojAghhHBHZUQIIYQ7KiNCCCHcURkRQgjhjsqIEEIId1RGhBBCuKMyIoQQwp2g7/RaequlvLw8zkkIIYRURen2+123zhN0GeXn5wMA3NzcOCchhBBSHfn5+bCxsSnzeUHf6VWpVCItLQ1WVlYQiUS841RLXl4e3Nzc8OjRoxp/11paF3+jdfE3Whd/06d1wRhDfn4+nJ2dIRaXfWZI0HtGYrEYrq6uvGOolbW1tc5/c6kLrYu/0br4G62Lv+nLuihvj6gUDWAghBDCHZURIYQQ7qiMtMTExATff/89TExMeEfhjtbF32hd/I3Wxd9q4roQ9AAGQgghNQPtGRFCCOGOyogQQgh3VEaEEEK4ozIihBDCHZURB0FBQQgICIC5uTlsbW15x9GqkJAQeHh4wNTUFH5+fjh79izvSFycOXMG/fr1g7OzM0QiEQ4cOMA7EjfBwcFo06YNrKys4OjoiIEDByIhIYF3LC42bNgAb29v1cWu7dq1w7Fjx3jH0goqIw6Ki4vx8ccfY+LEibyjaNWePXswbdo0zJs3D9euXUPHjh3Ru3dvpKam8o6mdVKpFD4+Pvj55595R+EuOjoaX331FWJiYnDy5EnI5XIEBgZCKpXyjqZ1rq6uWL58Oa5cuYIrV66ga9euGDBgAOLj43lH0zga2s3Rtm3bMG3aNOTk5PCOohX+/v7w9fXFhg0bVI95enpi4MCBCA4O5piML5FIhP3792PgwIG8owjC8+fP4ejoiOjoaHTq1Il3HO7s7OywcuVKjB07lncUjaI9I6IVxcXFiI2NRWBg4GuPBwYG4vz585xSESHKzc0F8HIjXJMpFArs3r0bUqkU7dq14x1H4wQ9USrRH5mZmVAoFKhdu/Zrj9euXRtPnz7llIoIDWMMM2bMQIcOHdC8eXPecbiIi4tDu3btUFRUBEtLS+zfvx/NmjXjHUvjaM9ITRYuXAiRSFTu15UrV3jH5O6ftwJhjOn87UGI+kyePBk3b97Erl27eEfhpkmTJrh+/TpiYmIwceJEjBo1Crdv3+YdS+Noz0hNJk+ejGHDhpX7mnr16mknjAA5ODjAwMDgjb2gjIyMN/aWSM00ZcoUhIWF4cyZM3p365jKMDY2RsOGDQEArVu3xuXLl7F27Vr8+uuvnJNpFpWRmjg4OMDBwYF3DMEyNjaGn58fTp48iY8++kj1+MmTJzFgwACOyQhvjDFMmTIF+/fvx+nTp+Hh4cE7kqAwxiCTyXjH0DgqIw5SU1ORlZWF1NRUKBQKXL9+HQDQsGFDWFpa8g2nQTNmzMDIkSPRunVrtGvXDhs3bkRqaiomTJjAO5rWSSQS3L9/X/X3hw8f4vr167Czs4O7uzvHZNr31Vdf4ffff8fBgwdhZWWl2nu2sbGBmZkZ53TaNXfuXPTu3Rtubm7Iz8/H7t27cfr0aYSHh/OOpnmMaN2oUaMYgDe+oqKieEfTuF9++YXVrVuXGRsbM19fXxYdHc07EhdRUVFv/R4YNWoU72ha97b1AIBt3bqVdzStGzNmjOrno1atWqxbt27sxIkTvGNpBV1nRAghhDsaTUcIIYQ7KiNCCCHcURkRQgjhjsqIEEIId1RGhBBCuKMyIoQQwh2VESGEEO6ojAghhHBHZUQIIYQ7KiNCCCHcURkRQgjhjsqIEEIId/8H9lPaMI/evNwAAAAASUVORK5CYII=", "text/plain": [ "
    " ] @@ -69,7 +59,9 @@ "G.add_edge('B', 'D')\n", "G.add_edge('D', 'C')\n", "\n", - "G.plot(angle_labels_circle=True)\n" + "fig, ax = plt.subplots()\n", + "G.plot(ax = ax)\n", + "G.plot_angle_circle(ax = ax)\n" ] }, { @@ -79,17 +71,7 @@ "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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RqFEj5OXlgcViYezYsTh+/DieP3+OjIwMPHjwAC1bthTHpkwD7ywWC2ZmZnBzc8PmzZtx48YNtGvXDgAwaNAgTJ06FUlJSZg2bRqMjIywa9cuAIWTTohqzQWTKYFAADs7O9SrVw9eXl4AAG1tbRQUFEBHRwfLli1DWFgYPn/+DAAYNmwYAPpAc6nkkk7lqCa1wL6XkpJCCPlf12JR6+zHrqqwsDDi6+tLLC0tycyZM+UbpIxIuxX2fTdiTk4OcXJyIiwWi7BYLNK5c2fy66+/koyMDClErpySk5PJiRMnyLNnzwghhOzevZs0bdqULFy4kAQEBNDuRgnk5OQQb29v0rZtW3Lw4EFCyP/+VsPCwoiHh4fEXdiqSNL7uPJ8PaTKZWBgAKD4JI+i/83Ly8OnT5+wa9cuvH//HvXq1UNSUhJyc3MZjlo6ilphGzduxPr16zF06NAqzUgUiUQIDg7G9evXoaamhqSkJDx+/BhdunTB9OnTMWjQIPGEiJqsfv364pmOAODo6Ii+ffvi/Pnz2LVrF/T19bFlyxbMmjWLuSAVnKamJlxcXEAIwW+//QahUIjZs2cDADZu3AgLC4saNyGrSuSRTeWpprbASvP582cSFhZGhg4dSmxsbIiHhweJiYkhERERZP78+So1QF+dVhifzyc7duwgzZo1IwCIsbExadGiBQFAZs2aJaOIVY9IJCJPnz4lnp6e5NatW4QQQq5fv04WLFhA3rx5w3B0iik3N5d4e3uT9u3bk8OHD5Np06aRqVOnirczOdmHSXQMjEJAQABGjhwJCwsLNGzYELq6ujAzM8OjR49w//59mJubAygc91F2VRkLi4qKAgCoqanh2LFjcHBwwN27d/H582fs3LkTAODj40NrI0qIxWLB3t4e69atQ+/evQEUjh2eOXMGLVq0QO/eveHr61vs+bWaTkNDA66urli6dCkWLVqE7OxsHD16FEBhjwBd468CckqockNbYMU9f/6cEFI4c65z587ExcWFuLi4kBs3bhTbr1evXiWm9CobSVphOTk55OTJk6RDhw4EAHn9+jUhpGQr9PvZiAEBATKPXZXl5eWR06dPEycnJwKAHDp0iBBSc1sXpcnJyRH3iBBC/21oC6yGI/8/Y8nGxgZCoRAcDgf37t1DZmYmMjMzYWFhId63d+/e+Pr1K4RCIebNm8dUyNVWUStsw4YNMDExwaRJk1CnTh1cvnwZzZo1A1CyFfr9bMQLFy7IIXrVxeVy4eHhgfv37yM8PByjR48GACxYsAAjR45EUFCQSs6wW716NV68eCHRvpqamujQoQMA2vKqDJrAVNT3fwDfDwbzeDz07dtXvJrzmDFjEBISgmfPnsHPzw+xsbGYP3++3OOVloULF0JXVxfPnz/HpUuX8OjRI2RnZwMA8vPzMXnyZLx79w43btyAq6truQPlRUus0G5E6bGzsxPXtrO1tcWLFy/g7OyM1q1b4+TJkyrz7zx79my8fv0aNjY2xT7/8UtVaT9vdUui1ShyaQ/KEe1CLNudO3dI586dxVPte/ToQSwtLUnHjh3J0aNHxftt3bqVfPjwgakwq62oOkdRd+KBAweqdB7ajSh7IpGIBAQEkCFDhhA2m00iIyOZDqna5syZQ0aPHi1+f+XKFRIVFSV+//LlS7J27VomQlMatBIHTWClunr1KiGEkL59+xJbW1tCSOHYUevWrcnhw4eZDE0qYmNjydixY8UlkebPn1+tElNTpkyhsxHlpOhLU0FBARk/fjy5e/cuwxFV3rp164iWlpb4/R9//EF69OghLi9GCCHR0dHE3NycnDhxgoEIlQMdA6OKIf8/xjB48GDs2bMHYWFhePToEYDCsaMbN27AzMxM6WeIvXjxArdu3UK/fv0AAEFBQdU6H+1GlJ8mTZoAKJy5+OrVK3Tr1g2DBw/G8+fPGY5MMgKBAF26dIGDgwO2bduGI0eO4NKlSzh27Fix5wctLCzg6ekJkUhU7coxNZ588qn80BaYZIpm3QmFQqV+4j8zM5Ns3LhRPINSJBKRrKwsqVXnoN2IzBAKhcTb25tYWloSFotFfv75Z6ZDKtf3NS+Dg4NJx44diba2NklNTS223/jx40lUVBR5+/ZtsVYZVRxtgakwUo0ZW0Xf+GrVqgVCCNhstlI+8V9QUID9+/fD0tISGzduhKmpKQoKCsBisaCtrS21Gol0NiIz2Gw2Ro4ciVevXmH//v3iGXrx8fFITk5mOLrilixZAg8PD6xfvx6xsbFwcnLCtm3bYGdnJ36eEADGjh0LDoeD5s2bo1mzZrSqizTIJZ3KUU1qgQUFBZGxY8cSV1fXKreiip43SU5OVppvhAKBgLRr146wWCwyYcIE8vHjx1L3k1YrrKg2YoMGDZS6taoKpkyZQnR0dMiBAwcU4lmpmTNnEnd3d3LhwgXSuXNncv/+ffG24OBg0q1bN7Js2TIyadIkMmPGDPE2RYhdkdFJHCqawIRCIeHxeGTs2LFk2rRppEOHDqRp06bVSj7h4eFk1apVZMGCBSW6PL739OlTceFRJuTk5JCcnBxCCCHnz58XF5MtjzTWC5NkiRVKPlJTU8lPP/1EAJBevXqRT58+MRbL5MmTydChQ8Xv3dzcyIQJE8iqVavEX5iCg4NJkyZNyMiRI8X7SWPdOlVHE5iKJrD169eTmTNnkv79+5OYmBji5uZGtm7dWqVziUQikpOTQ/r37082btxILly4UOa+ISEhZPz48aRx48Zk2rRpVQ2/yh48eECsrKzIokWLKnWctFphp0+fJkFBQbQFpiBu3rxJTE1NiYGBASN/60lJSaRBgwbi6fB//vknadKkCTl69Cjx9PQkzZo1Izdv3iSEkGJT6GnLSzI0galYAvPz8yMTJ04kampqpEePHuI/hBEjRognF6SmppIXL16Iy0dJqqhVU+THP7IXL14QDw8PsnnzZhIaGkrGjBlTrDtElnJycsjSpUsJm80mHTp0EC8WWRnSXrWZUgw8Ho/8888/hJDCgszybo09f/6ctGjRgvTq1Yt07txZvNp2ZmYmmTJlCjl79myx/envnuToJA4VkpWVhcuXL8PU1BRxcXHQ09PD+PHjcfnyZbx58wbdu3fHypUr4eHhAXd3d6xcuRKurq4SL5eioaFR7P33VTyePn2K3377DY8ePUJKSgratWuHv//+Gy9fvsRff/0l1Z/zR5mZmWjbti327NmDrVu34v79++LFIivjx+oclGrQ1dXFoEGDAAC7du1C69atcfDgQbmVpbKxsYGvry+Sk5NhZ2cHU1NTAICOjg4+fvyIrKysYvvTChsyIJ98Kj+q2gIrmh5eZN68eYTFYpHDhw+TnTt3kgYNGpCbN2+SuLg4Qgghv/zyC3F2dq7WMhZPnz4V9+lfvnyZdO7cmezYsYO8evWKTJ8+nVy6dKnaP1dpcnNzxa3AX3/9tUqtrh/RVphq4/F44rGxnj17ljmxRxZevHhBmjdvTjZs2EDy8vLImDFjyJQpU+R2fVVEuxBVLIEV+b5q+pAhQ8i8efNIvXr1xF0p39u7dy/ZsmVLldb7+vz5MxkwYABZtmwZefnyJSGEkC9fvhB9fX0ycuRIMnjwYPL06VNCCJHq6sQPHz4kVlZW5NixY1I7JyHSX7WZUkxFY2M6OjpyLYf2/PlzYmVlRYyMjIp1r9MvS1VDE5iKJrAiV69eJfr6+uT06dNk+vTpJDs7W7yt6I8mLi6OXLlypcrXmDlzJunSpUuxz6ZNm0Zev35NUlJSCCGExMTEEHV19WKzrKpq//79RE1NjTg6Okql1fWjolZY165dpX5uSnHweDxy8OBBcSv++4eMZenFixdk1apV4vc0eVWdQiSwO3fukMGDBxMjIyMCgPj5+VV4TGBgIGnbti1RV1cnFhYWla4XVlMSWExMDNm/fz85evQo6dy5MyGk9BlOfD6/0uf+/jwzZswgHh4e5OvXr+T06dOEy+WS0NBQQkhhi6xOnTpk7ty5ZPz48VWuF5ifn09mzpxJAJB58+bJbIXo1NRUsmHDBvLt2zeZnJ9SPH///Tdp3749+fz5s1yvS5NX9SjEJI7s7Gy0adMG+/btk2j/jx8/YtCgQXB2dkZERAQWLlyIadOm4b///pNlmAqJEIJPnz6Vud3MzAyzZs1Cx44doa+vj2/fvoHFYokHsIsqT6irq1f62iwWS3z8wYMHweVyMXHiRMyfPx+7d+9GnTp1MGPGDHTu3BlNmjTBnj17cOrUKXz58gXLli2r0s/69u1bHDlyBH/++afMVog2MDDAmjVroK+vL5PzU4rHysoKCQkJcHBwENf+rC4vLy/4+vqWuw+dsCEn8simpPCuWmELbNmyZcTa2rrYZ6NGjSL9+vWT+Dqq0gLbvn070dDQIL/99luF+65YsYK0bdu22Iqu0vD9t8jk5GQSExND8vLySOPGjQkAYm5uTpydncnevXvF+x07dkzif/vnz5+LW3P0GyslK4mJicTJyYmoq6uTkydPVutcp06dIiwWi6ipqYnHgCnpU4guxGIXkiCBde3alSxYsKDYZ8ePHye6urplHpOXl0d4PJ74FRcXp/QJLCYmhtjb25OAgAAycuRI0r179wpnE164cIG0b9+e7Nmzh4SEhEgtlh+7JT9+/Eh0dHQIi8UiAIi7uztp1aoVOX/+fKXO6+vrS7S1tcmgQYOkFitFlSUvL49MnTqVtGvXrspd1EXJCwCZMWMG/dIlQ0qZwJo1a0a2bNlS7LNr164RACUeti3i6ekpXvvp+5eyJjCRSES6du1Kli5dKv5s7dq1ZPLkyRUeGx8fTz59+iTTp/1nzZpFxo4dSy5evEg4HA4BQIYPH06ePXsm0XVFIhHZsGGD+LjvHw2gKFkSiUTiGbPv3r2r1FgoTV7ypRBjYPKwYsUK8Hg88SsuLo7pkKpl9+7dEAqFuHv3rng86evXr6hdu7Z4n/z8/FKPNTIyQuPGjYs9iCxt+/fvx5kzZzBs2DCcO3cObDYbFy9exPbt2yWq+D5nzhysXbsWGzZswPnz56GtrS2zWCnqeywWC7Vr1wYhBB4eHnB0dERUVFSFx3l5eWHixIkghGDGjBnYv38/HeNSEAr1X6Fhw4ZISkoq9llSUhJ0dXWhqalZ6jFcLhe6urrFXsoqLi4Ohw8fho+PD27fvo1Pnz7B0NAQ6urqaN68Oc6dO4eRI0di6tSp2LBhg9zjIz9UOBg+fDjOnz8PDocDLy8vTJ48ucJFHz08PODr64s1a9bINNFSVFlYLBbOnDkDDocDR0dH3L59u8x9afJScHJoDRJCJJ/E0bp162KfjRkzpkZM4hCJRKRly5bk77//Fn/G4/HIiBEjSEFBAenevTsZN24cWbZsGXn69ClxdXUlAwcOJJGRkQxGXej77sTx48eXKHj76dMnMmvWrCpN6acoWeHxeGTAgAFEXV291OclabchcxRiDCwzM5OEh4eT8PBwAoDs2LGDhIeHk5iYGEIIIcuXLyfjx48X7//hwweipaVFfv75Z/L69Wuyb98+wuFwyI0bNyS+prImMB6PRzp37kyGDBlCEhISCCGFy5x4eHiQrl27kqZNm4r/3YocOHCATJ48maSlpTERcjFlJbHo6GhiZmZGmjRpIvdncSiqInw+n4wZM6bEPYYmL2YpRAILDAwsdYLFxIkTCSGETJw4kXTv3r3EMXZ2dkRdXZ00bdq0xj3I/Mcff5A2bdqQWbNmkREjRpCWLVsSa2trcvnyZfE+RbOoRCIROX36tMI8mPtjEouMjCTGxsakefPm4hqNFKWohEIhuX//Pk1eCkDS+ziLEDmVbpaTjIwM6OnpgcfjKe14WFRUFE6dOgVHR0cYGhpiy5Yt+OWXX+Dk5FRiXx6PBz09PQaiLJ2Pjw9GjRoFoVAIDQ0NNG3aFP7+/mjYsCHToVFUuby8vDBhwgRxQQA65sUcSe/janKMiZKQlZUVNm/eDKBwKZWsrCzxf8SCggLUqlULhBCwWCyFSl4AMGzYMHh7e2PUqFHIy8tD69atUb9+fabDopRQNl+AT6nZyBeIoK7GhnldbWhzZXfLKppFSwhBjx49aPJSAjSBKTgdHR107doVS5cuxYkTJ2BkZAQAMpnB9/XrV9y+fRtjxoyp8jmio6OhpqYmTmLnz58Hl8vFiRMnwOFwpBgtpYreJWXizONYBEYlIzYtB993D7EAmBlowdmqATwczdDMsHZZp6m0olm0ANCyZUvcuXMHFy5cwKhRo6R2DUr6aBeikti6dSvOnj2LiRMnon379rC1tZVqTT+BQIA+ffogKCgIc+fOxY4dOypdk/DTp0/o1q0b9PT0EB4ejsuXL4u7E8ePH0+TGFWmuLQcrPR7geDoFHDYLAhFZd+WirZ3tayHLW42MDXQqta1f5wqv3fvXkydOhUAZL5oK1U6Se/jtH0sBfL4DrBixQpcuHABGRkZEIlEUu86ZLPZcHZ2BgDs3bsXvXr1KvFMXnk+f/6MXr16QV1dHf/99x/U1NTE3YmVeU6MqnnOhcSi9847ePAhFQDKTV7fb3/wIRW9d97BuZDYKl+7tOe81NTUcOzYMRw/fhxA4crglGKiCUwKiqq3nzhxQqbXsbKywvr169GjRw+pdyGy2WysXbsWV65cga6uLoKDg+Hg4ICQkJAKj01PT0efPn0gFAoREBAAY2Nj8TaaxKjy7A18h+W+L8AXiCpMXD8Sigj4AhGW+77A3sB3lb52eQ8pq6mpgcPhICwsDObm5rh//36lz0/JHk1g1VA06Hvv3j2sXLkSU6dOxcGDBxmOqnpcXFzw5MkTtGjRAp8/f0bXrl1x8uTJco/JyMhA/fr1cevWLZiZmZXYTpMYVZpzIbHYfvOtVM61/eZbeFeiJSZphQ1ra2tYW1vD3d1d6cvUqSKawKqBzWYjLi4O8+bNg5GREfT09NCoUSPxdmUdXrSyssLjx4/h6uoKPp+PyZMnY968eSgoKCixL5/Ph5mZGe7cuYNmzZqVeU6axKjvxaXlwPNKZLn7FHxLQOqNvfhyYCpifndD7I4RSPT6GRkhlyEq4JfYf+2VSMSl5VR47cqUh+JyufDx8YGmpiaGDh2KnJyKz0/JD01g1XD58mWsX78enTp1wpgxY9C7d+9i3WfR0dEYMGAAduzYwWCUVaOrqws/Pz+sX78eQOnjYn/99Rfatm2L9PR0ibo0aRKjiqz0ewFBOV2GOdEhSDg2Fzmvg6Fp2QEGfWagTveJ4OjWx7fAE/h2+3CJYwQigpV+L8q9blVqG9avXx+XL1/GmzdvsHDhQol+Pko+6DT6KoqIiMCMGTPg5OSE8+fPQ01NDenp6fj69SuAworx/v7++PDhAyIiIuDg4IBx48Yp1R9A0bhY27ZtMW7cOPG4mK+vL4RCIX766SeMHz++UhNKvn9OzMvLCwDo7MQa5l1SJoKjU8rcXpCeiJQr28DRqw/DMVugpmMg3lbbfjAKvsUjN7rk2KxQRBAcnYLo5ExYNig5xb46hXnbtGmDixcvonnz5hLtT8kHbYFVwV9//YWlS5fCxcUFfD4fXbt2xZYtW/D27Vt06dIFQGFl+QsXLmDTpk04deoUjh8/jsDAQOzbt4/h6CuvtHGxfv36oX379ti3b1+lJ5R83xKLjY0Fn1+yO4hSXWcex4LDLvt3JuOxD0h+LuoOWFAseRWpVccYuu2HlHosh83C6Uelj4V9/PixWhU2BgwYAAsLC2RkZODBgweVOpaSDZrAqiA/Px+TJk3CkSNHcO3aNaxevRrXr1+HqakphEIhCgoK8N9//yE/Px8jRowAANja2mLWrFn4+++/kZCQwOj4WFnriZWnaFysKGlnZGSgRYsWVa5UMGzYMNy8eRPXrl2Dllb1nuOhlEtgVHK5Mw5zo59ATb8hNExaVvrcQhFB4NvkUretXbsWV69erXaFjQ0bNqBfv354+fJllc9BSQdNYFUwffp0jBs3DkDhA8CDBg3CkSNHkJ6eDg0NDSQkJODixYviJ/uLEka7du3EC+gxtRbWhQsXYGtri0ePHlX6WF1dXVy6dElcqePYsWPo3bs3kpNLv2FUpGfPnnRByxomiy9AbDkTLUT8HAgzU1GrvnmVrxGbmoNsvqDUbYMHD652eah169ahadOmcHV1RWpqarXORVUPTWDVpKZWOIx4+fJl1KtXD1wuF1euXAEATJkyBQDE4zvnzp1Dhw4dGOsyI4Rg06ZNiIqKQufOnfHzzz8jNzdX4uMfPXoEFouFv//+G5cvX0bt2rVx9+5d2Nvb4+nTpzKMnFIVManZKK/vQcQvTG5s9dIXsJUEAfApNbvKx1dER0cHly9fRmZmJkaMGFHq7FxKPmgCk5JFixZh69atePPmDfbt24fevXuLt3E4HGRmZiIgIAD29vaoV68eIzGyWCwEBgZi/PjxEIlE2L59O9q2bStRa+z69etwcnLChQsXAACurq548uQJrKys8PnzZ3Tp0oWW3aEqlC8QlbudzS3sThblS/7FqirXqS5zc3NcvHgR9+/fR0BAgEyvRZWNJjApIISAy+WiU6dOaNasGdzc3ODj44M5c+YgJiYG9+/fx9ixY8Hn8+Hi4gIdHZ1Sp48XPRh97tw52NvbY+/evVKP1cDAAKdOncKVK1fQsGFDiVpjKSkpmDx5MgYOHIjhw4eLP2/RokWx58UmTZqE+fPn02+kVJnU1cq/5bC5WuDoGKDga4xMryMN3bt3x7t379CvXz+ZX4sqHU1gUvD9eBaHw8GWLVsQHByMOnXqYMSIEdi3bx84HA4OHjyIDh06iPf7UVHf/NmzZ9GpUycEBATAyckJf/75JwDpPhjt4uKCyMhIiVpjc+fOhUAgwNGjR0uMH+jp6cHPzw/r1q0DAOzZs6da42KUajOvq42KRn81LTtAkJ4A/pfXVboG6/+vIw9mZmYQCoU4cOAAeDyeXK5J/Q9NYDIgEomgpaWFTZs2ITg4GAcPHsSlS5fQuHFjvH37FocPHxY/L1akqEV2+fJlZGdnY/PmzfD19cW+ffvw8uVLfP78WeoTPyRpjd26dQve3t7Ys2dPmYtSstlseHp60nExqkLaXDWYVVA9XtdxGFi1NJD67x4Is7+V2F7wLQEZIZfLPN6srpZM1w37UVJSEn755RcsWbJEbtekCtEEJgNFrRSRSAQul4vatf/3UOWePXvw5MkTfPnypdgxRS2yv/76C2/fvsUvv/yC5ORktG3bFocPH4aJiQm+ffuGt2/fws/PT6rxltca69mzJ3x8fCRaI4yOi1GScLZqUO5zYLXqGKGe688QpCci/sgspN0+jMxn/yEz7BpSrm5H/NFZKEgtvS4hh82Cc/MGsgq9VMbGxtixYweOHTuGGzduyPXaNR1NYDJUlMiKWk5v3rxBeHg4PD09YWdnJ97v+7EvgUAALy8v1K9fH/3794e3tzcAwM/PD+7u7pgzZw6OHz8OGxsbHDhwQGqxltUaW758OQYMGCBx6+/HcbFr164pbU1ISvoEAgG0EsIqrDyv1cwRRlP2QMuqM3LePUbazQP4FnQSAl4y6vScCoPeM0o9TigiGNexZEFpWZs6dSr69u2L6dOn065EOaILWspZbm4uNDU1IRKJSownubm5wcnJCYsXLwaHw0FaWhoIIUhKSsK4ceMwevRoTJ48GfXr18fr16+xYcMGmJubY/Xq1VJ9niotLQ1ubm64e/cugMKHmE+ePImOHTtKfA6RSIQDBw5g4sSJ0NHRkVpslHISCAQ4ffo0Nm3ahPfv36P1vIPI1jFBJVdQKReHzYJT07rwmuoovZNWQmxsLFq3bg1PT0/anVhNdEFLBaWpWfh8y4/J68KFC/jy5QucnZ3B4XAgFAphYGCAunXrYtOmTbCzs8PEiRNRv359CAQCtGzZEqdOnYKZmZnU6wiKRCK8efMGjo6OEs9U/BGbzcacOXNo8qrhBAIBTp48iRYtWmDy5Mlo06YNIiIicH3deNTiSPf2o8ZmYYubjVTPWRlmZmZ48uQJFi9ezFgMNQ1NYApiyJAh2LlzJ1q0aAHgfwkuKSkJX79+xcCBA9GgQWHfvpqaGgghqFWrFkaOHAkNDQ2pxlI06/DSpUsSz1SkqO+Vlbh8fHzQpk0bmBpoYb2rtVSvucHVGqYVTBCRtRYtWoDFYiEgIIB2JcoBTWAKQl1dHZ07dxa3WIrGnAwNDcHn85GZmQkWiwWBQFBse926daUax6VLl+Dt7Y29e/eiYcOGVXpujKq5Kkpc3xvd3gxL+xZVd69eX+LPfa0wqr38x75Kk56eDjc3N9oSkwOawJSAo6MjsrKyAPyv9SUr3bt3x59//onRo0cX+7wyz41RNU9lEtf35jo3wyx7PZCCfLAqmcQ4bBa4amz85m6DOc6W1f0RpEZfXx/bt2/H8ePH6axEGaOTOJRAWFgYJk+eDEdHR6xatQqNGzdGamqq1Ftf+fn5UFdXr3C/q1ev4qeffkJiYiLYbDYWL16MDRs2iMf3qJrjx8kZ7u7uWLt2bblJ63v5+flo3749RFoGsJ2yBfc/pIHDZpU7S7Foe1fLetjiZsN4t2FpCCHo06cPPn/+jJcvX4prplKSoZM4VEi7du3w4MEDGBkZwcXFBcuXL0dERESp+964cQNpaWmVvsbHjx9hZmaGhw8fVrhvWa2xuLjSn82hVE9VW1w/2rRpE169egWvAztxZnon3FrYDeMdG6NxXa0SFTtYABrX1cJ4x8a4vagbvKY6KmTyAgq7+H///XdERUXRZyFliagYHo9HABAej8d0KFIjFArF/z8nJ4e8efOGFBQUlNgvMTGRaGpqktq1a5PVq1eT1NRUia8xbtw40rBhQ5KVlVWp2K5cuUIaNmxIHB0diUAgqNSxlPIpKCggJ06cIBYWFgQAcXd3JxEREVU6V2hoKOFwOMTT07PU7Vl5BeTll3QSFpNGXn5JJ1l5JX/nFZ23t7dK3YvkRdL7OE1gSuT7RFaaiIgIYmtrS1A4Ii5xInv27BlhsVjkwIEDVYorNTWVfPz4sUrHUspBmomLEEL4fD6xtbUlbdq0IXw+X4qRKqaa8DNKE01gKpjAJCEUComPj0+lEtmgQYOIpaUlyc/Pl3O0lKKTduIqsmbNGqKmpkbCw8OrH6SCu3r1KjExMSFpaWlMh6I0aAKroQmsiKSJLDs7m3Tp0oWcO3eOwWgpRSOrxEVIxV2HqiYhIYFoaWmR5cuXMx2K0qAJrIYnsCKSJDKRSEREIhHDkVKSkPW4kCwTFyE1r+uwyKpVq4impib58uUL06FUikgkIjdu3CAPHz4Uv5cHSe/jdBp9DSESiXDp0iWsX78ez58/BwBoaWnB3d0du3fvhoGBAcMRUmV5l5SJM49jERiVjNi0nGJPS7EAmBlowdmqATwczdDMsHZZpylXdafDS2rt2rXYunUrQkJCihW0VnU8Hg8WFhYYPnw4Dh48yHQ4FfLz88M///yD0NBQNGnSBEuWLEGXLl3kdn1J7+M0gdUwpSWy2rVrY8GCBVi0aBFNZAokLi0HK/1eIDg6RWbPRskrcQGFzzN26NABq1evFi+AWpPs2LEDQUFBuHTpUolaqIpk7969WLJkCfbu3YuRI0dCT09P7jHQBEYTWLlOnDiBKVOmwNLSEtHR0QBoIlMk50Ji4XklEgIRqXDpke9x2CyosVlY72qN0eWUVpJn4gL+98Ayi8XCkydPJHpgXtWUtgIFkwgh+Oeff+Dl5YXc3Fy0b98eo0aNwpcvX3D06FHs378f+vr6ePnyJe7fv49OnTrB1tZWLrHRB5mpMgkEAqxfvx7Dhg1DVFQUfHx8YGtri8zMTGzatAnm5uZYs2ZNlR6Ipqpvb+A7LPd9Ab5AVKnkBRSuh8UXiLDc9wX2Br4rsV1aDyBXVtEDyydPnqyRyQsoLNBNCMHVq1cRGRnJaCz79+9H48aNceLECQwcOBCbNm3Cw4cPsXTpUoSHh6NJkybo378/+vXrh0mTJuHLly9lrsjOKBmPxckdncRRMR8fHwKg2OB8VabfU9J39kkMabz8n2KvugMXiv+bACDg1CIcHQOi0aQtqdP7J2K66HyJY4pe557EEEJkPzmjPDVt1mF5BAIBMTMzI1OnTmU0Dn9/fzJo0KBin6Wnp5P169eTjh07kmPHjhFLS0sSEhLCSHyS3sfl0gLbt28fzM3NoaGhAUdHRzx58qTMfU+ePAkWi1XsJe3lQmq67t2749SpU8W+cbPZbLi7uyM8PJy2yBgSl5YDzytlfzPX6+qBuoOXoG6/2ahtPxgA8O32EcQfm4v85I+lHrP2SiR2Hj4l9xZXkfz8fEyePBmtW7fGypUrZX49RcfhcDBjxgz8/fff+PbtG2NxdO7cGW/fvkV0dDSEQiEAQE9PD3369EF2djYyMzPh5ORUZg1HoiAjTzJPYN7e3li8eDE8PT0RFhaGNm3aoF+/fkhOTi7zGF1dXSQkJIhfMTExsg6zRqlbty7Gjx9f6raKEhnTXR+qbKXfCwjK6TLUbOoAndbO0LHtA71OI2E4aiMajN4EUQ4PyRc3QlTAL3EMP78AvwbEyD1xFaFdhyVNnToVAoGA0RqJXC4XdnZ2uHfvXrEFcQ0NDdG8eXNkZWXB2NgY9+7dAwDcunULM2fOFC8RU7ScE9NknsB27NiB6dOnY/LkyWjVqhUOHjwILS0tHD9+vMxjWCwWGjZsKH4ZGhrKOswaY+3atdiwYUOF+5WWyMzMzNCyZUs5RFnzvEvKRHB0SqXHvDTN20Cv8ygIM5KRHRlYcgc2B5pN2uG3AyflmriAwlmHW7ZswapVq2rUlPmKGBoaYvjw4di/fz9EIhFjccyaNQv//PMP8vLyxOsMJicnIyIiAm5ubqhbty5WrVoFBwcH7Ny5EzY2Nli+fDlj8ZZGpgksPz8foaGh6N279/8uyGajd+/e5VY9z8rKQuPGjWFqaoohQ4aU+62fz+cjIyOj2IsqXXZ2Nnbv3l2phSi/T2Q3b95UqFlUquTM41hw2FX7Vqtt3RMAkPcxvNTtHDYLpx/FVjm2qqBdh+VbvHgx5syZI04cTHByckJERARyc3PFXYX37t1Dv3790LJlS/Tq1Qt//vknrl69iuvXr2POnDniVeEVhUwXqUlJSYFQKCzRgjI0NMSbN29KPcbKygrHjx+Hra0teDwetm/fDicnJ0RGRsLExKTE/lu3bsX69etlEr+qOXv2LDIzMzFjxoxKH8tms2FsbCyDqCgACIxKrnTrq4iabj2wuNoQpCeWul0oIgh8m4x1sK5OiJVS1HUYEhJCuw5L4eDgAAcHB0Zj4HK5aNeuHdavX4+CggIEBQXBwsICf/zxB1gsFtq2bYu2bdsyGmNFFO7rdKdOnTBhwgTY2dmhe/fu8PX1Rf369XHo0KFS91+xYgV4PJ74RdekKh0hBPv27cPgwYNhbm7OdDjUd7L4AsSm5VTrHGx1DYjyyz5HbGoOsvny+bZPuw4l8/XrV8ydO5fRe9b8+fPx6NEjtGrVCrdv38aVK1fQrFkzxuKpLJm2wOrVqwcOh4OkpKRinyclJUn8TEGtWrXQtm1b8cO2P+JyueByudWOtbIIIWCxWODz+Yxcv7JevnyJiIgIbN26lelQqB/EpGajunO6RPl5qKWlX+Z2AuBTajasjWVbVYF2HUpOQ0MDp06dQp06dbBx40ZGYujSpQsePXrEyLWlQaYtMHV1ddjb28Pf31/8mUgkgr+/Pzp16iTROYRCIV68eAEjIyNZhVllwcHBWLx4Mdq0aYNx48bh2LFj5c6uZJKNjQ1evHiBvn37Mh0K9YN8QfUG8gUZKSD8bKjVKf9vpLrXkcTmzZvprEMJ1a5dGxMmTMCRI0eQn58v8XFJSUk4cOAA/Pz8ZBidcpB5F+LixYtx5MgR/PXXX3j9+jVmzZqF7OxsTJ48GQAwYcIErFixQrz/hg0bcPPmTXz48AFhYWEYN24cYmJiMG3aNFmHWil//fUXZsyYAVNTU/z7778YNGgQgoODsWfPHty/fx8uLi44fvw4Pn4s/fkcecrPzwchBK1bt6aTMBSQulr1/ptkRwYAADSatJPpdSoSHh5Ouw4radasWUhKSqowGRUlrZ49e8LY2BizZ8/G9u3b5RSl4pJpFyIAjBo1Cl+/fsXatWuRmJgIOzs73LhxQzyxIzY2tthN9du3b5g+fToSExNRp04d2Nvb48GDB2jVqpWsQ5VYamoqjh49iqlTp2LJkiUAgDFjxmDIkCH49OkTLl++jJCQELRo0QJHjx5FZmYmRo4ciTVr1jAS765du+Dt7Y0nT54Ue+aDUgzmdbXBAqrUjZj76Rl4972hpmcIHeseZe7H+v/ryEp+fj4mTZoEa2tr2nVYCdbW1ujevTsOHDiAUaNGFduWlJQEX19fXLhwAXfu3Ck25b59+/Zwd3cXD2XUVDJPYAAwd+5czJ07t9RtQUFBxd7v3LkTO3fulENUVRcZGYmCggIMGTIEQGE3JyEEWlpaaNWqFWbPno2jR49i8ODCagmxsbFIT08HwExBz4sXL6Jp06Y0eSkoba4azAy0EFPBRI7cD09RkPoZEAkhzElHXswz5H2MAEevAeoPXwOWWtlddmZ1taDNld2fe1HXIZ11WHm7d+8WJ6GKktaIESMwfPhwNGnShKlwFYpcEpiqycnJQWJiIiwtLQFAnBhEIhF4PB5evXoFb29vcLlcODg4wMzMDGZmZiCEyD15xcfHIyQkBPPnz5frdanKcbZqAK/HMeVOpecFnyn8Pxw1cDRqo1Z9c9TpPR06Nr3B5pa9fAqHzYJzc9k9v0O7DqunYcOG8PX1xcKFC2nSqiSawKpIU1MTWVlZ0NbWhlAoBIfDAZvNxosXLyAUCtGpUyccOHAAMTExsLe3x6FDhxhp6l+7dg0cDgcDBw6U+7UpyXk4muHkw0+lbtOx7Q0d296lbpOEUEQwrmPZS6tUB+06rBra0pIOmsCqoHPnzujWrRv27NmDFStWQE1NTVzc0t/fH127dsXs2bMxe/ZsAEBcXBxYLBYj/dWBgYHo3LkzXd9LwTUzrI2ulvXw4ENqlR9oLg2HzYJT07qwbFC1lZorQrsOJVde0jIxMUFiYiKeP39Oy7VVAk1gVVC7dm3MmTMHS5YswZkzZ9C8eXM0btwYs2fPxqNHj0oUyjU1NQXATAFMLy8vpKSkyP26VOVtcbNB7513pJrA1NgsbHGzkdr5vke7DismaUsrLy8PrVq1wocPH2gCqwSawKqoTZs2uH37NlJTUxEUFITU1FQAwKNHj1BQUIC8vDx06tQJ1tbyK9/zI5FIBA6HQ4shKwlTAy2sd7XGct8XUjvnBldrmBqUPT5WVbTrsHxHjhzB2bNnJe4eJITA0tISV65cwaBBg5gIWSnRBFZNdevWxbBhw8TvP3z4gHv37iEgIAB//fUXcnJyEBgYWO6y2LIyc+ZM8Pl8RpdtoCpndHszpGTxsf3m22qf6+e+VhjVXjZjX7TrsHze3t4IDCxcHUCSMS0WiwVXV1ecPXsWBw4coM9rSohFFGVlMinJyMiAnp4eeDweI0mjtHiqG8fnz59x+PBh9OjRA506dYKmpmaFx4hEIhgZGWHixInYtm1bta5Pyd+5kFh4XomEQEQq1aXIYbOgxmZhg6u1zJJXeHg4OnTogFWrVmHdunUyuYayu3z5Mt6+fVupiRhRUVGIi4tDz549a3wCk/Q+ThOYEjh58qS4com6ujocHR3Ro0ePchPao0eP0KlTJwQHB6NLly7yDpmSgri0HKz0e4Hg6BRw2KxyE1nR9q6W9bDFzUYm3YZAYddh+/btwWKx8OTJE9r6omRC0vs47UJUAk2aNMG4ceMQGBiIL1++IDg4GMHBwdi4cWOZCe3KlSuoW7euxDUnKcVjaqAFr6mOeJeUiTOPYxH4NhmxqTnFKnawUPiQsnPzBhjX0Uxmsw2L0K5D2bp9+zZ8fX2xf/9+pkNRDkTF8Hg8AoDweDymQ5E6kUhEoqOjydGjR8m4ceNIo0aNCAorEIlf6urqpGvXrsTIyIj07duX5OTkMB02JUVZeQXkov8jom7UnFz0f0Sy8grkdu2wsDCipqZGPD095XbNmub8+fMEAPn06RPToTBK0vs47UJUYoQQfPjwAUFBQQgKChK30L4naZcjpTzCwsJgb2+P0NBQtGtXfgFfaaFdh/KRkZEBAwMDHDhwANOnT2c6HMbQLsQagMViwcLCAhYWFpg6dWqZCU2SLkeKKg/tOpQPXV1dtGrVCk+fPq3RCUxSNXuqi4opSmg8Hg8sFgtxcXGIjo7G0aNHMW7cODRq1Aj5+fniZNarVy/o6+ujW7duWLt2Le7fv8/0j0ApIPrAsnwVta6pitEWmAry9/cXl62qTAvt1atX6Ny5M9PhUwqk6IHlVrZtMXTyPITHfoO6GhvmdbVlWt2+JpsyZQri4+OZDkMp0N9AFUMIQWhoaKndDxUlNLpaM/W9d0mZmPfneaR2mge1OkYYevB/S8+zAJgZaMHZqgE8HM3QzFC2sx9rkq5duzIdgtKgCUzFfPnyBUlJSbC3t69w3x8TGkUBxZ8/I6L6UKtTch05AiAmLQdej2Nw8uEnmT9/VtOcPn0aTZo0oT0iFaBjYCqmqO9ckgRGUT86FxKL3jvv4MGHwtqeLHb5i6AWPVz94EMqeu+8g3MhsTKPsSbYtm0bLQEnAdoCUzFOTk7w8fGBiYkJ06FQSmZv4Lsq12AU/n/Jq+W+L5CSxcdc52ZSjq5moRM5JEMTmIqpX78+3N3dmQ6DUjLnQmLLTF5Zz28j9fquUrfpdhyOOj0mFfts+823qK/DlVktxprA3t4eZ86cAZ/PB5fLZTochUUTmAohhGDRokXw8PBA+/btmQ6HUhJxaTnwvBJZ4X56XT2gptew2Gfq9RuXuu/aK5FwsqhHx8SqyMHBAQUFBXj58iUdDigHHQNTIV++fMHu3btLVOOgqPKs9HsBgQQV7zWbOkCntXOxl7ph01L3FYgIVvpJb12zmqZNmzYYPnw4OJzyxyBrOtoCUyF0AgdVWe+SMhEcLf0Vu4UiguDoFEQnZ8q8wLAq0tTUxIULF5gOQ+HRFpgKefXqFfT19ekEDkpiZx7HgsNmSbSviJ8NYQ6v2Ks8HDYLpx/RWYlVlZSUhOfPnzMdhkKjLTAVEh8fDxMTE7BYkt2QKCowKlniBTOTz60u8Vnj5f+Uub9QRBD4NhnrYF3l+GqyHTt24OLFi3j//j3ToSgsmsBUSI8ePWBlZcV0GJSSyOILEJuWI/H+Bn1nQc2gUaWuEZuag2y+gJadqgIjIyMkJCSIy8JRJdHfKhUybNgwpkOglEhMajYqs5aSulFzcI0q93wXAfApNRvWxnqVOo4CjI2NkZubCx6PB319fabDUUh0DEyFBAQE0BmIlMTyBSKVuo6qMTIyAgAkJCQwHInioglMRRBCMGDAAPj6+jIdCqUkPka/k8t11NXobaYqjI2Noa+vj/T0dKZDUVj0N0tFfPv2Dfn5+eJvbRRVnvz8fKxbOgeQ8YLsLADmdbVleg1VZWFhgW/fvqFTp05Mh6KwaAJTEUXrBxkbGzMcCaUMNm/ejNcvItBQR7bD4GZ1tegEDkpmaAJTEUX95LQFRlXk+xWW+9uaSvwcWGVx2Cw4N28gk3PXFK6urlizZg3TYSgs+tVIRRQUFKBx48Zo2LBhxTtTNVbRCsvW1tZYuXIlYr7xcfLhp3KP0bHtDR3b3pW+llBEMK4jLehbHdnZ2Xj3Tj5jlcqIJjAVMXDgQHz69InpMCgFt3nzZrx69QohISFQV1dHM0N1dLWshwcfUiV+oFkSHDYLTk3r0jJS1WRkZITYWFrNpCy0C5Giaojvuw7t7OzEn29xs4GalLsR1dgsbHGzkeo5ayIjIyPx+DZVEk1gKmLixIkYPnw402FQCurHrsPvmRpoYb2rdMs9bXC1pkupSEGDBg3w9etXpsNQWLQLUUXk5OQgMzOT6TAoBfVj1+GPRrc3Q0oWv8orMn/v575WdDFLKRk1ahQ6duzIdBgKSy4tsH379sHc3BwaGhpwdHTEkydPyt3/woULaNGiBTQ0NGBjY4Pr169LNR5zc3NYWVnBzs4OLVu2xNixY5GdnQ0ACAoKgqamJtq2bQtra2tYW1tj8eLF+Pbtm0Tn7tGjB5o0aQI7Ozvx67///it128CBA6X2MwkEAqip0e8jVElldR3+aK5zM/zqbgOuGrvSMxM5bBa4amz85m6DOc6W1YyYKmJmZoauXbtK9ZyqdP+TeQLz9vbG4sWL4enpibCwMLRp0wb9+vVDcnJyqfs/ePAAY8aMwdSpUxEeHo6hQ4di6NChePnypdTjioiIQGRkJHg8Hk6ePCneZmVlhfDwcERGRuLRo0fIzMxEr169IBQKJTr3zp07ERERIX7169ev1G3STMw0gVGlKa/rsDSj25vh9qLucGpaFwAqTGRF252a1sXtRd1py0vKQkJCsGLFCqmfV1XufzK/4+3YsQPTp0/H5MmTAQAHDx7EtWvXcPz4cSxfvrzE/rt370b//v3x888/AwA2btyIW7duYe/evTh48KDU48vPz0dOTg7q1KlT6vbatWtj//79sLCwwI0bNzBo0CCpx/AjQghyciSvEg4Aubm50NbWFn+TkpSWlhatdK3CKuo6LI2pgRa8pjriXVImzjyOReDbZMSm5hQr/MtC4UPKzs0bYFxHMzrbUAJV+bt++vQpfv31V6xcuRJsduXaG5L8bSvi/a9SiAzx+XzC4XCIn59fsc8nTJhAXF1dSz3G1NSU7Ny5s9hna9euJba2tqXun5eXR3g8nvgVFxdHABAej1dmXI0bNybNmzcnbdq0IXp6eqRnz56koKCAEEJIYGAgadOmTYljXF1dyW+//Vb2D/v/unfvTszNzUmbNm3Er+jo6FK37d27t9RzZGVlERQW8pb5Kysrq8KfiVIsoaGhBAAJDQ0td7+wsDCipqZGPD09q33NrLwCctH/EVE3ak4u+j8iWXkF1T5nTSPPv+vy/rYV/f5HCCE8Hq/C+zghhMi0BZaSkgKhUAhDQ8NinxsaGuLNmzelHpOYmFjq/omJiaXuv3XrVqxfv77SsXl7e8POzg4CgQAzZszAL7/8gj/++KPM/Uklasbt3LkTQ4cOrfQ2ipKWynYdVkSbq4Ym+rWQn/AWTfRr0fJQSk5V7n9KP41+xYoV4PF44ldcXFyljldTU8OwYcNw48aNMvcpKChAREQEWrduXd1wJaKlpYWsrKxKvXbs2IH9+/dX+jgtLTrVWRUVdR2ePHlS4q5DSraq8nd9+PBhAEBaWppM/rYV8f5XGTL9GlWvXj1wOBwkJSUV+zwpKanMkkcNGzas1P5cLhdcLrdacQYEBJS5knFWVhaWLl2KevXqiQcjV6xYgUaNGmHu3LnVum5ZWCwWtLUrV8H75s2b0NbWxqxZs2QSE6UYsvkCfEwvgLpRc3xML4BVKasdSzrrkJKvqvxdt2rVClOmTIGenl6lx8AkpWj3v8qQaQJTV1eHvb09/P39xc1GkUgEf3//Mn/4Tp06wd/fHwsXLhR/duvWLakvKTBq1ChoampCIBCgcePGxSaIREVFwc7ODgUFBSCEoF+/fvD39weHwwEAPHv2DPb29mWee9GiRVi3bp34/c8//wwPDw+pxv8jNTU1FBQUyPQaFDPEkymikhGbVjiZwmjiDiy5lYKlt/6DmYEWnK0awMPRDI3rcKXadUgxq3PnzujcubPUz6sq9z+Zd2QvXrwYEydOhIODAzp06IBdu3YhOztbPCtxwoQJaNSoEbZu3QoAWLBgAbp3744//vgDgwYNwrlz5/D06VNxU1oayqsZ2KNHD+Tm5pa5XSgU4uvXr3B3dy91e1BQUJnHlretutTU1JCfny+z81PyF5eWg5V+LxAcnQIOm1VqrUICICYtB16PY3Dy4ScYsXiI+pKCR7ev0a5DFZCamork5GS0bNlSaudUpfufzBPYqFGj8PXrV6xduxaJiYmws7PDjRs3xBM1YmNjizWNnZyc8Pfff2P16tVYuXIlmjVrhkuXLilM/yuHw0FISAjTYZRQq1atSk/RpRTXuZBYeF6JhOD/k1ZFhXaLtscLddBo+kG8KTCAnayDpGTu9OnTWLlyZaUfj5EVRbv/yWUq0dy5c8vsMiwtK48YMQIjRoyQcVSqZeDAgTSBqYi9ge+qXNKJxeZACGC57wukZPEx17mZdIOj5IrP56NWrVpMh6Gw6FxYFTFp0iSmQ6Ck4FxIrFTqEQLA9ptvUV+HS6tjKLHk5GQ0aEAXBS0LTWAqIjU1Fa9evZJ63TRKfuLScuB5JbLUbVnPbyP1+q5in7G19FCrnhn0HIdB08Kh1OPWXomEk0U9WhleSSUkJNBV1suh9M+BUYWuX7+Obt26lTsASym2lX4vxGNeZdHr6oG6g5eg7uDF0HUcBlEOD8kX1iEnuvQC2QIRwUq/F7IIl5KD7OxsNGrUiOkwFBZtgamIom9pCQkJaNq0KcPRUJX1LikTwdEpFe6n2dQBXKP/jWvptOmLz3+OQ/arO9Cy7FBif6GIIDg6BdHJmbReoRK6dOlSpapg1DS0BaYijI2NAYCu3qqkzjyOrfQSJgDA5mqDVUsdLDanzH04bBZOP6LL0isrWmy7bDSBqYjvW2CU8gmMSq5wqjwAiPjZEObwIMzhIf9rDNL+2weSnwdta+cyjxGKCALflr58EaW4srOz0bx5c9y6dYvpUBQW7UJUEfr6+jAxMQGfz2c6FKqSsvgCxKZJ9ghE8rnVxT/g1ELdgQug2aRtucfFpuYgu5SyU5TiSkhIwLt378QVMKiS6G+zimCxWJUuZEwphpjUbEg6ymHQdxbUDAoH9YXZ35AdGYTUf/8EW10TWlZOZR5HAHxKzYa1sV71A6bkomg4oGh4gCqJJjCKYli+QCTxvupGzYtN4tBu1R0Jx+cj7dZBaFq2B4tT9kOvlbkOxbyi4QA6jb5sdAxMhcyfPx9ubm5Mh0FVkrpa1f8MWSw2NBrbQpiVhoK08ifwVOc6lPzFx8dDS0sLurq6TIeisGgLTMW8e/eO6RCoSjKvqw0WIHE3YgkiIQCAFOSVuQvr/69DKQ93d3e0atWKzkIsB01gKqRRo0b4/PkzCCH0l16JaHPVYGaghRgJJ3J8jwgFyP0YDnDUUKuuaZn7mdXVohM4lEzjxo3RuHFjpsNQaLRPQYVYW1uDx+MhNpY+86NsnK0aSPQcWO6Hp8h6GYisl4HIeOKHRK+lEHyLh277oWBzSy8XxWGz4Nyc1tNTNp6enrh37x7TYSg0+pVMhRQtMhcaGkq/uSkZD0cznHz4qcL9eMFnxP+fpaYONQMTGPSbDR27AWUeIxQRjOtIC/oqk+zsbGzatAmmpqbo0qUL0+EoLJrAVIiRkREePnwIW1tbpkOhKqmZYW10tayHBx9SS32gWce2N3Rse1f6vBw2C05N69IyUkomIiICIpGo3JWPKdqFqHI6duwILS1aeVwZbXGzgVoVykmVR43NwhY3G6mek5K90NBQcLlcWFtbMx2KQqMJTMUEBgZi9OjRtACoEjI10MLM9nWles4NrtZ0KRUlFBoaCltbW6irqzMdikKjCUzFZGdnw9vbm1blUEJv3rzBbz+5Qv3Nf1I5X/qdUyiIuiuVc1Hy1bt3b8yaNYvpMBQeHQNTMUV95k+fPoWZGR24VxZv3rxBjx49UL9+ffgfWo2AmDx4XomEQEQkKvJbhMNmQY3NwjqXVvD/WhsTJkwAAIwbN05WoVMyMH78eKZDUAq0BaZijIyMYGRkhNDQUKZDoSRULHn5+6NBgwYY3d4Mtxd1h1PTwi7FiqbYF213aloXtxd1x5gOjXH48GFMmTIFEyZMwOnTp2X+c1AlRUdHo2vXrlizZg38/f2Rk1Pxs34xMTG4fv06CgoK5BChcqMtMBVkb29PE5iSKC15FTE10ILXVEe8S8rEmcexCHybjNjUnGIVO1gofEjZuXkDjOtoVmy2IZvNxuHDhwGAtsQYEhgYiHv37uHevXvYtGkT1NXV4ejoiB49eqBHjx6lTrq6fPkyfv75Z2RmZjIUtfKgCUwFzZ8/ny6rogTKS17fa2ZYG+tcrbEO1sjmC/ApNRv5AhHU1dgwr6tdboUNmsSYNWDAABw5cgRBQUEICgrCly9fEBwcjODgYGzcuLFEQuvUqRNCQ0PRpk0bOoFDAiyiYtPVMjIyoKenBx6PR4tgUgpL0uQlLSKRCD/99BOOHz+OU6dOVSmJhYWFiVv37dq1k0GUqo0Qgvfv34uTWVFC+566ujrU1NTQsmVLbNu2DZ06dYKmpiZDETNH0vs4bYGpIEIITpw4gebNm9On+BWQvJMXQFtiioDFYsHS0hKWlpaYNm1amQktPz8foaGh6NWrV6kttJqY0MpEVAyPxyMACI/HYzoURrVp04aMGzeO6TCoH7x+/ZoYGhqS1q1bk6SkJLlfXygUkqlTpxIWi0W8vLwqdWxoaCgBQEJDQ2UUXc0mEonIjRs3iIWFBXFzcyONGjUiKFykQPxSV1cnXbt2JWvWrCH+/v4kJyeH6bBlQtL7OG2BqShXV1fs3bsXAoEAamr0P7MiYKLl9aOqtsSy+QJ8TC+AulFzfEwvgBVfQKvbSxmLxUK/fv0QHR0NoOwux9LG0Nzc3LBo0SKGfwL5o2NgKiokJAQdOnRAUFAQunfvznQ4NZ4iJK/vSTImJp79GJWM2LRSZj8aaMHZqgE8HM3QzJDWWqyugoIChIaGokOHDmCzSz7hVFZCA4DRo0fj7Nmz1Y6B/P9STHw+H1wut9rnqypJ7+M0gakokUgEExMTjBkzBn/88YdExyQnJ8PX1xdxcXHYvHmzjCOsORQteRUpK4nFpeVgpd8LBEengMNmlfsgddH2rpb1sMXNhpatqoaAgAD06tVL4kkyhBB8+PABQUFBaNKkCXr27FntGAghuHfvHs6dO4d79+7BxsYGzs7OcHFxkevvLZ3EUcOx2WysXbsWhoaG5e5XlLTOnz+PO3fuQCQSoVatWli6dCnq1Kkjp2hVl6ImL6D07kQ1q27iCiAAKqwCUrT9wYdU9N55B+tdrTG6Pa0AUxVXrlxBo0aN0LZtW4n2Z7FYsLCwgIWFhdRi+Ouvv7Bt2zZMmDAB//77L+7cuYP//vsPnz59Qv/+/fHrr7/Czc0Nzs7OaNKkidSuW1U0gamwmTNnlvp5aUmrSPv27TFixAi6orMUKHLyKvJ9Ept74B/od6valxbh/5e8Wu77AilZfMx1bibNMFUeIQRXrlyBq6srY397qampOHr0KKZOnYolS5YAAMaMGYMhQ4bg06dPuHz5MkJCQtCiRQscPXoUmZmZGDlyJNasWcNIvABNYCrvv//+AyEE7dq1qzBpDR8+XCG+VakCZUheRdhsNnpNX4Pbl16W2Jb1/DZSr+8q89iG47eD26hFsc+233yL+jpcjKItMYlFRkbi48ePcHV1ZTSGgoICDBkyBAAgFApBCIGWlhZatWqF2bNn4+jRoxg8eDAAIDY2Funp6QAKu6NLG7eTNZrAVFhycjKWLVuGmJgYZGZm0qQlJ8qUvIDCMa91/7wqdx+9rh5Q02tY4nO1Okal7r/2SiScLOrRMTEJJSUlwc7ODj169GAshpycHCQmJsLS0hIAwOFwABQmJx6Ph1evXsHb2xtcLhcODg4wMzODmZkZCCGMJC+AJjCVU9Q9eOHCBQQFBdGkJWfKlrwAYKXfC/GYV1k0mzqAayR5t6BARLDS7wW8pjpWN7waoVevXggPD2c6DGhqaiIrKwva2toQCoXgcDhgs9l48eIFhEIhOnXqhAMHDiAmJgb29vY4dOgQo8MNNIGpgPKSlp2dHSIiIvD7779j6dKlDEap+pQxeb1LykRwdIrUzysUEQRHpyA6ObNYgWGqJB6Ph9TUVDRt2pTRODp37oxu3bphz549WLFiBdTU1MQL4/r7+6Nr166YPXs2Zs+eDQCIi4sDi8UST71nAl1ORUklJyfj4MGD6NWrF4yMjDBr1iwEBARAJBLBwcEB27Ztw4cPHxAeHo5OnTrhwYMHTIes0pQxeQHAmcexFS7VAgAifjaEObzir9yMco/hsFk4/ShWWqGqrAsXLqBZs2ZIS0tjNI7atWtjzpw58Pf3R+vWreHu7o7Fixfj3bt3ePToEYYPH15sf1NTUwCgLTBKcpcuXcKePXtKtLQcHBwwcuTIUrsHZ8+eLR5spaRPWZMXAARGJUu0YGbyudUlP+TUQuOf/co8RigiCHybjHWwrk6IKu/EiRNwdnaGgYEB06GgTZs2uH37NlJTUxEUFITU1FQAwKNHj1BQUIC8vDx06tQJ1taK8d+UJjAlExUVhYCAAADlJ63v0aKtsqPMySuLL0BsWsULLAKAQd9ZUDNoVOwzFqviDpzY1Bxk07JTZYqIiMCDBw/g4+PDdCjF1K1bF8OGDRO///DhA+7du4eAgAD89ddfyMnJQWBgIOPFImT6W5WWloZ58+bh6tWrYLPZGDZsGHbv3g0dHZ0yj+nRowfu3LlT7LMZM2bg4MGDsgxVaYwaNQpsNrvSEzFiYmJw+PBhbNiwQTy7iKoeZU5eABCTmg1Jy/CoGzWv1CSOIgTAp9RsWBvrVfrYmuDAgQMwNjZmdPq8JOrWrYshQ4aIp9hnZGQwnrwAGY+BeXh4IDIyErdu3cI///yDu3fv4qeffqrwuOnTpyMhIUH82rZtmyzDlClCCP777z88evRI/L46zM3N8fPPP1d6FmFKSgq2bNmC69evV+v6VCFlT14AkC8QVbyTEl1HGeno6GDRokVKV3BbEZIXIMMW2OvXr3Hjxg2EhITAwcEBALBnzx4MHDgQ27dvh7GxcZnHamlpoWHDks+cKBM/Pz/8888/CA0NRZMmTcRPtjM14Glvb48OHTpg//79cHFxYSQGVaEKyQsA1NXkM4dLXtdRRpLWKaVKJ7PfrIcPH0JfX1+cvACgd+/eYLPZePz4cbnHnjlzBvXq1UPr1q2xYsUK5OSU3U/P5/ORkZFR7MW0vXv3YvTo0ejYsSPu3LkDPz8/hVhYcvbs2bhx4wbev3/PdChKS1WSFwCY19WGrL9Osf7/OlRxhBD89ddfCnG/UmYya4ElJiaW+ONWU1ODgYEBEhMTyzxu7NixaNy4MYyNjfH8+XP88ssviIqKgq+vb6n7b926FevXr5dq7JIihOCff/6Bl5cXcnNz0b59e4waNQqtWrXCsGHDMGLECOjp6eHly5e4f/8+OnXqBFtbW0ZiBYCRI0di0aJFOHjwIH7//XfG4lBWqpS8AECbqwYzAy3ESDCRI/fDUxSkfi7xOdekJWrpl91bYlZXS6UncKSmpoLFYlV6BmFQUBAmTZqExo0bM1p9Q9lV+jdr+fLl+O2338rd5/Xr11UO6PsxMhsbGxgZGaFXr154//59qVWXV6xYgcWLF4vfZ2RkiJ9PkKX9+/fj119/hYODA1xdXdG2bVssX74cISEh6NGjB5o0aYL+/ftDT08PqampGDhwIOPdopqamjh27BiaN2/OaBzKSNWSVxFnqwbwehxT4VR6XvCZUj+vO3BhmQmMw2bBublq/DuVZePGjTh+/DgWLFiARYsWSZzI9u/fj5YtW9K1+qqp0glsyZIlmDRpUrn7NG3aFA0bNkRycnKxzwUCAdLS0ip1I3d0LCxFEx0dXWoC43K5jCy81qJFC9ja2hZrGZ47dw67d+/GxYsXMX36dJw/fx579+4t1o3KNDc3N6ZDUDqqmrwAwMPRDCcffipzu45tb+jY9q7SuYUignEdVbegr0gkwqNHj5CZmYlNmzZh9+7dEiWy+Ph4+Pn5YdeuXXTVh2qq9BhY/fr10aJFi3Jf6urq6NSpE9LT0xEaGio+tqhSRFFSkkRERAQAwMio9KKhTOncuTPevn2L6OhoCIVCAICenh769OmD7OxsZGZmwsnJqczZRUyuI3rlyhV4eHgwdn1losrJCwCaGdZGV8t6ElXjqAwOm4WulvVUuowUm80WP8Nla2srTmTm5uZYs2ZNmZU1jhw5Ag0NDYwfP17OEasemU3iaNmyJfr374/p06fjyZMnuH//PubOnYvRo0eLZyB++fIFLVq0wJMnTwAA79+/x8aNGxEaGopPnz7hypUrmDBhArp168bo2FFpuFwu7OzscO/evWLPVRkaGqJ58+bIysqCsbEx7t27BwC4desWZs6cKe7uZPqb199//42nT58yGoOiU/XkVWSLmw3UpJzA1NgsbHGzkeo5FRGbzYa7uzvCw8MlTmSOjo7YsmUL9PTos3HVJdP5rWfOnEGLFi3Qq1cvDBw4EF26dBEvngcABQUFiIqKEs8yVFdXx+3bt9G3b1+0aNECS5YswbBhw3D16lVZhllls2bNwj///IO8vDwIBAIAhTUKIyIi4Obmhrp162LVqlVwcHDAzp07YWNjg+XLlzMcNTBo0CBYWFhgw4YNTIeisGpK8gIAUwMtrHeVbmmgDa7WNWoplcoksv79+2P+/PkMR6waWITJviwZyMjIgJ6eHng8nswftuPz+bC2tkZISAjq1ClcyXb79u34+PEj9u7di4iICDx//hx9+/ZVuC7Qv//+Gx4eHrh37x46d+7MdDgKpSYlr+/tDXyH7TffVvs8P/e1whxnSylEpLxEIhEuXbqE9evX4/nz5wAKi+WamJjg+PHj6NixI8MRKjZJ7+M0gVXTyJEjYWxsjIKCAgQFBcHCwgJ//PEHmjVT7CXVRSIR7O3t0aZNG5w8eZLpcBRGTU1eRc6FxMLzSiQEIiJRkd8iHDYLamwWNrha05WYv1NaItPR0cHChQsrNWuxpqEJTE4J7N69e1i6dCnGjx8Pd3d3hWtplefz588wMjKitRH/X01PXkXi0nKw0u8FgqNTwGGzyk1kRdu7WtbDFjebGtVtWBkpKSlo3LgxNDU1xRXea9euXenp9zUFTWBySmCqIDIyEi1atKjRiYwmr5LeJWXizONYBL5NRmxqTrHCvywUPqTs3LwBxnU0U+nZhtKwbNky7N+/H+/evcPDhw9LdC3SRFacxPdxomJ4PB4BQHg8HtOhKIXo6GjCYrHIqVOnmA6FMa9fvyaGhoakdevWJCkpielwFFJWXgF5+SWdhMWkkZdf0klWXgHTISmN3NxcYmhoSNauXSv+TCgUEh8fH2Jra0tQWLSf1K5dm6xevZqkpqYyGK1ikPQ+TltglHj21Js3bxh5KJxJtOVFyUNKSgo0NDRKLCVV1mSPmt4ik/Q+TstEU9i8eTNiY2Nx6NAhpkORK5q8KEnk5eVV+ZnJL1++4Nu3b6hXr16p6yBWNP3++8eOSqNi7Y9KowmMQsuWLTFp0iRs2rQJmZmZTIdTadl8ASLjeQiP/YbIeB6y+YIKj6HJi5LU+vXr4ejoiGXLliEvL69Sxy5YsAA9e/asMNGUlcgq+r1ksVgQiUQ4ceJEpeJSFapbJpqqlHXr1kFTUxMFBQVMhyIR8QSDqGTEppUywcBAC85WDeDhaIZmhsUnGNDkRUmKEIKkpCSIRCL8/vvvuHr1Kk6cOCHRc1xPnjyBj48P/vrrL4kr7xQlsqFDh+LmzZvo169fqfuJRCKw2Wzcu3cP//zzD7Zt2wY+n4+ZM2dW6udTdnQMjFIq1Z3iTZMXVRVXr17FTz/9hMTERLDZbCxZsgQbNmyAhoZGqfuLRCL06NED3759Q0REhExm+MbFxcHV1RWTJk3CunXrcOrUKfFitYQQxsvVVQcdA6Oq5OzZsxg9erRC9q2fC4lF75138OBD4XM0FT1oW7T9wYdU9N55BzuvPKHJi6oSFxcXREZGYvz48eLWWNu2bfHo0aNS99+/fz+Cg4Px559/yiR5Xb58GevXr0enTp0wZswY9O7du9gq99HR0RgwYAB27Ngh9WsrEprAqGJ0dXXh7e2tcNU59ga+w3LfF+ALRJWqEAEUJjK+QITdD79Ct9NImryoKjEwMMCpU6dw5coVNGzYEG/evEHnzp1LHRtzcnLCtm3b4OzsLPU4IiIiMGPGDKSlpeHPP/9EgwYNkJ6ejq9fvwIA8vPz4e/vjw8fPiAiIgIODg7YtWuX1ONQBLQLkSph0qRJ8PPzQ2RkJExMTJgOB+dCYrHc94XUzvebuw0td0RVS1paGhYuXAgvLy8AhesDnjhxAh06dIBQKEStWrVkct2//voLXl5eaNKkCeLj45GWlgYXFxccOnQIkZGR0NHRwfv37/HTTz9h5syZGDFiBJ4/f441a9agb9++mDNnjkzikjbahUhV2c6dO6Gjo4Pp06cz3pUYl5YDzyuR5e6TGXYNMb8ORsJfi8vdr8jaK5GIS8uRRnhUDVVWa6xv377o0KFDpWcrSio/Px+TJk3CkSNHcO3aNaxevRrXr1+HqakphEIhCgoK8N9//yE/Px8jRowAANja2mLWrFn4+++/kZCQwPjftDTRBEaVUKdOHRw+fBjp6eng8XiMxrLS7wUEFXQZZkcGgaNniPyEtyj4Fl/hOQUigpV+0mvRUaqBEIIdO3YgKSlJ4mN+HBvz9/fHp0+fxAvxStv06dMxbtw4AIUr3A8aNAhHjhxBeno6NDQ0kJCQgIsXL2Ly5MkAChMeALRr1w5RUVEAmF+LUJpoAqNKNWjQINy/fx/6+vqMxfAuKRPB0SnljnkVpCeC/+U1DHpOBVtLD9mRQRWeVygiCI5OQXSy8j3zRsnO4cOHsWTJEjg4OCAkJETi4wwMDHDy5ElYW1uDw+EgPT29zLExaSpa7f3y5cuoV68euFwurly5AgCYMmUKAIgnkJw7dw4dOnQAn8+XWTxMoAmMKhObzcbjx48xd+5cRrodzjyOrXCp++zIILA1dKBp2R5aVp0lSmBA4RT7049ipRAlpSq6d+8OKysrfP78GV27dq3URKb9+/cjMjISPj4+Es9UlJZFixZh69atePPmDfbt24fevXuLt3E4HGRmZiIgIAD29vaoV6+eTGORN5rAqHKlpqZi3759jMxKDIxKrnDGYfarIGg1dwKLUwvarbpB8C0e/ISKF2UUiggC3yZLK1RKBbRo0QKPHz+Gq6sr+Hw+Jk+ejHnz5kn0cH+DBg2wcuVKDBkyROKZitJACAGXy0WnTp3QrFkzuLm5wcfHB3PmzEFMTAzu37+PsWPHgs/nw8XFBTo6OhAKhSXOIxKJABS21Ozt7bF3716pxyoLdBYiVaHJkyfD19dXrrMSs/gC2Kz7D+X9cvITo5F4ciEajN4ETXM7EELwZf9kaFk5waD3TxVegwXg5bp+0ObSgjTU/4hEImzcuBHr1q0DAHTt2hUXLlyAoaFhiX3Le2C4rJmKsl6NOScnB1u2bMHNmzdhaWmJnJwc7N69G40bN67w2CFDhsDU1BTx8fFITEzE6NGjMX/+fLk/GE1nIVJSUzQrcdKkSRAIKq4zKA0xqdnlJi8AyI4MBFtbHxpmNgAKB6e1W3ZF9uu7IKKS3zJ/RAB8Ss2ufrCUSmGz2fD09MTly5dRu3ZtBAcHlzkutmPHDnh4eJTaqqnMc2PSIhKJoKWlhU2bNiE4OBgHDx7EpUuX0LhxY7x9+xaHDx8WPy9WpCj2y5cvIzs7G5s3b4avry/27duHly9f4vPnzwo78YMmMKpC+vr68PLyQlRUFGJiYuRyzXyBqNztRCREzutgaJjZQsBLQsG3eBR8i4e6sRVE2enIi3kmletQNZerqyuePHlS5rjYzZs3sWzZMjRq1KjcahuVreJRHWx24S1dJBKBy+Widu3/1QHds2cPnjx5gi9fvhQ7pij2v/76C2/fvsUvv/yC5ORktG3bFocPH4aJiQm+ffuGt2/fws/PT+oxVwdNYJREevbsiXfv3sHCwkIu11NXK/9XMy/mOYRZach5fRfxh34Sv1Iu/QoAEk/mqOg6VM1W1rhYZGQkRo0ahX79+mHr1q0Vnqe01liXLl3w/v17mcRdlMiKWk5v3rxBeHg4PD09YWdnJ97v+7EvgUAALy8v1K9fH/3794e3tzcAwM/PD+7u7pgzZw6OHz8OGxsbHDhwQCZxVxYdA6MqJT09HR4eHlizZo1M+/Kz+QK0LmcMLOWfncj9EAqDviWrb+e8fYjc6CcwmXca7FplL9BJx8AoSf04LqapqQljY2OEhoZCT0+vUucqGhvT0tLCwYMHZRBt6XJzc6GpqSmuZP89Nzc3ODk5YfHixeBwOEhLSxNX4h83bhxGjx6NyZMno379+nj9+jU2bNgAc3NzrF69Gtra2lKPlY6BUTKhqakJHo8HNze3El0RlXXt2rUyH5TW5qrBzECr1G2iAj5y3j6ApmV7aLfoUuJVu91gkPxc5EY/Lvf6ZnW1aPKqQQgh8Pb2LnW8qiI/jovl5uYiOzsbb99WPOP1R0WtsX379lX62OrQ1NQEgBLJ68KFC/jy5QucnZ3B4XAgFAphYGCAunXrYtOmTbCzs8PEiRNRv359CAQCtGzZEqdOnYKZmZlMChVXBk1gVKVwuVz4+PigVq1aGDp0KHJzc6t0ntOnT8PFxQX9+/dHdnbpEymcrRqU+hxYbvRjkPxcaFk6lh5jI6sKH2rmsFlwbk4L+tYkK1euFLckqpLEAMDGxkY8LpaYmFjp58W+x/TNv8iQIUOwc+dOtGjRAsD/ElxSUhK+fv2KgQMHiotfq6mpgRCCWrVqYeTIkWUuJyMvNIFRlWZoaIhLly4hMjIS06ZNq/RDzqdPn8aECRNACEGbNm3E3wx/5OFoVupzYNmRQWCpqUOjiV2px7FYbGhatEfuhzAIczNK3UcoIhjXkRb0rUkcHBzA4XDg5eVVpSR2+vRpNG/eHHw+v8rPiykidXV1dO7cGTo6OgD+N25maGgIPp+PzMxMsFgs8Qzkou1169ZlJuDv0ARGVUm7du1w8uRJODqW3goqy/fJa8aMGdi/f3+JLo0izQxro6tlvRKtsAbD18JsqS/Ytcr+9ldv0EI0XnYJHM2S/eccNgtdLevBskHtUo6kVNWwYcPg7e1dpST25MkTTJs2DePGjYOtrS309PTg5+cnHhPbu3cvevXqVak6isrA0dERWVlZAP7X+lIkdBIHJRWJiYlo2LBhuftUJnkViUvLQe+dd8CX4nR3rhobtxd1h2kZY2yUavPx8cGoUaMgFAoxfvx4nDhxotzuvPj4eDg4OMDc3ByBgYHgcotPDLpy5QrGjRuHzMxMmJiYwNfXF+3bt5f1jyFGCEFMTAzMzc2lfu6wsDBMnjwZjo6OWLVqFRo3bozU1FSZt77oJA5Kbs6ePQsrKytERpa97ElVkhcAmBpoYb2rtTTDxQZXa5q8arDKtsQWLFgADocDX1/fEskLqPh5MVnbsWMHWrZsiW3btkn93O3atcODBw9gZGQEFxcXLF++XGaV9quCtsCoasvMzESXLl3w9etX3L17F5aWlsW2VzV5fW9v4Dtsv1n5GV8/+rmvFeY4W1a8I6XyJG2Jff36FYmJibCxsSn3fDweDxMmTBBXhJ87dy527Nghs8UtASA2Nhbu7u74/fffcfDgQSQlJeHQoUOwsrKSyvm/n3Kfm5uL2NhYWFhYiCvhywptgVFyU7t2bdy8eRN6enro2bMnPn36JN4mjeQFAHOdm+FXdxtw1dgVVqj/EYfNAleNjd/cbWjyosTKa4nl5+dj0aJFSExMRP369StMXgDkPi5GCMG4cePg7OwMZ2dneHt7o3v37vjtt9+kdo3vK3toamrCyspK5smrMmgCo6TC0NAQt2/fhrq6OlauXAlAesmryOj2Zri9qDucmhb2v1eUyIq2OzWti9uLumNUezrrkCqutCTG5/MxduxY8RIplfHj82Jv376VWf3Q3bt3QygU4u7du1i2bBmAwtbi9+Wjiha0rK7q/N3KEu1CpKTq8+fP0NPTw+XLl6WavH70LikTZx7HIvBtMmJTc4pV7GCh8CFl5+YNMK6jGZ1tSFXo++7EJk2aIDY2Fj4+PhgyZEiVz/nmzRukp6fLpGJNXFwc+vXrh4CAAGhra2Pq1Km4c+cOxowZg2bNmqFu3briMbtmzZph7dq1Uo9BliS+jxMVw+PxCADC4/GYDqXG8vLyIiwWiwAg48aNI0KhUKbXy8orIC+/pJOwmDTy8ks6ycorkOn1KNV08eJF8e9t165diUAgYDqkUolEItKyZUvy999/iz/j8XhkxIgRpKCggHTv3p2MGzeOLFu2jDx9+pS4urqSgQMHksjISAajrhxJ7+OK2S6klNb33Yba2tp4+PAhPn/+LNNranPVYG2sh7ZmdWBtrEfLQ1FVMmzYMMybNw9sNhvBwcHVqtghS5mZmTAwMIC3tzcSExMBAB8+fIC6ujp69uyJuLg4bN68Gb/99hvs7e1x+fJluLi4YPv27fj27RvD0UsXTWCU1Pw45vXs2TMIhUJ0794dHz9+ZDo8iioVn8/H6dOnQQjB7t27cf78+WpV7JA1XV1d3Lt3D926dUP//v0xe/ZsbNmyBWFhYUhLS8POnTthZlY43ltUHWTGjBno1auXwq7rVWXyaA7KE+1CZMb33YYzZswQdxvGxsYSS0tL0rx5c1JQQLv2KMWSk5NDBgwYQLhcLnn79q3484sXLxIOh0MAkPHjxytsd+KbN2/IypUryeXLl8mjR4+Iq6sruX//fqn7pqenyzm6qpP0Pi6zBLZp0ybSqVMnoqmpSfT09CQ6RiQSkTVr1pCGDRsSDQ0N0qtXr2K/VJKgCUz+ykpeReLj40lgYCAzwVFUGVJSUkiPHj2IpqYmuX37dontypLEimRmZpKePXuSFy9eEEIIyc/PJ4QU3leVDeNjYPn5+RgxYgRmzZol8THbtm3Dn3/+iYMHD+Lx48fQ1tZGv379ZLb8NlV9kkyVNzIyQo8ePUAIweTJk3H69GmGoqWoQrGxsejQoQNevnyJmzdvolevXiX2Kes5MaKgE7d1dHTQtWtXLF26FAkJCeIHqFWu2/B7ss6kJ06ckKgFJhKJSMOGDcnvv/8u/iw9PZ1wuVxy9uxZia9HW2DyU1HL60f5+flk4sSJBABZtmyZwn+jpVRXfn4+mTlzJvn48WOF+5bVEnv48CHZt28fmTp1qszirErracuWLcTGxoZs376d3Llzh3z79k36gckY412IRSRNYO/fvycASHh4eLHPu3XrRubPn1/mcXl5eYTH44lfcXFxNIHJQWWTVxGRSER27NhB2Gw2GThwoFL1y1PKTSQSka1bt5LHjx9X+tjvk5irqysZOnQoGT9+POnWrRvR0dEhUVFRMoj4f4KCgsjYsWOJq6urRF/83rx5Q9auXUsCAwNVugtRYRLY/fv3CQASHx9f7PMRI0aQkSNHlnmcp6cnAVDiRROY7FQ1eX3vxo0bRE9Pj2zbtk0GEVJUcdnZ2WTUqFEEANmxY0elj8/KyiKbN28W318sLCzIu3fvSJ8+fcjixYtlEDEhQqGQ8Hg8MnbsWDJt2jTSoUMH0rRpU5KcnCyT6ykSmYyBLV++HCwWq9zXmzdvpNCxKbkVK1aAx+OJX3FxcXK9fk2Tn5+PTZs2VbvCRr9+/fDs2TMsXrwYQOGSFRQlC3FxcejatSuuXr2KCxcuYNGiRZU6/sOHDxg0aBD8/PzESwZ9/vwZX79+hYGBAcaPHy/el0hxfGzTpk345ZdfkJaWhjVr1qBRo0aYPn066tevL7VrKLtKPfG5ZMkSTJo0qdx9mjZtWqVAin4xkpKSYGRkJP48KSkJdnZ2ZR7H5XJLXeKAkg11dXX4+/vj6NGjWLNmTbXKQzVu3BhA4ZpDTk5O2Lp1KxYuXKjag86UXBFC4OrqirS0NNy/f7/ce0lZmjZtijVr1qBp06Zo0qQJWrVqhbZt2+L+/fv4+vWrePUFgUCAO3fu4N69e/D09KxyzJcuXcKlS5dw5swZdOnSBQEBAWCxWFBTUxMvIJuWlob4+HgQQiQqNKyyZN0UrOwkju3bt4s/4/F4dBIHA548eSLX6wkEArJs2TICgEyaNInk5eXJ9fqU/PH5fHLo0CFy48YNmV2j6PcoPDycJCUlVekcpY0f8fl80qVLF6KhoSF+5orP55Pg4GDSvXt3oqWlRebMmVOl62VmZpJJkyaR1atXk4SEBDJkyBDi4eFBLl26RGxsbIhQKCQrVqwg/fv3J82aNSODBw8mLi4uJCcnp0rXU1SMj4HFxMSQ8PBwsn79eqKjo0PCw8NJeHg4yczMFO9jZWVFfH19xe9//fVXoq+vTy5fvkyeP39OhgwZQpo0aUJyc3Mlvi5NYNUzY8YMMn78eEKI/J8f8fLyIlwul9jY2FT6+T9Kufz6668EALG1tZV6rcyUlBQyduxY4uzsLPWZrkVJ8dKlS6R///7k27dvpKCggNy9e5d06tSJ/Prrr4QQQsaMGUMmTJhQpWuIRCKSlZUlfj9v3jzCYrHI4cOHyc6dO0mDBg3IzZs3SVxcHCGEkF9++YU4OzuTN2/eVPOnUxyMJ7Ci6dI/vr5/oBUAOXHihPh90YPMhoaGhMvlkl69elV6dg9NYFU3c+ZMMmrUKPH7lJQUuccQERFB+vfvT1JTU+V+bUp+UlNTia6uLgFAfHx8pHZePz8/YmhoSOrUqUO8vLxk8iXs27dvxNTUlOzZs4cQQsjdu3dJ165diba2Njly5Ih4v759+5KQkJAqX6foQWRCCBkyZAiZN28eqVevHvnnn39K7Lt3716yZcuWYscoM8YTGFNoAquaxYsXE3t7e/EfwP79+8mvv/7KaPmnL1++kG7dupHQ0FDGYqBkZ82aNVJthU2bNo0AIC4uLiVmM0vboUOHyIcPH8TdhqtXryapqamkS5cuZNWqVcTf359wuVwSFhZW7WtdvXqV6Ovrk9OnT5Pp06eT7Oxs8baif7e4uDhy5cqVal9LUTBeiYNSLurq6mjQoAFev36NHTt24MSJExg7diyjq69mZmaCx+OhQ4cOWLt2rdQW56MUw8KFC6Grq4vnz5/j0qVLVT5PUbHd9u3bw8vLC5cvXy42EUyayP/PMvzpp59QUFCAyZMno0OHDti4cSMMDAzg5eWFc+fO4dChQ9iyZQvatm1b7Wva2tpiy5YtyMvLw6tXr6ClpSWOo2gSlYmJCfr161ftaykduaRTOaItsKpbvXo1adeuHWnRooW465bpArx8Pp94enoSNTU1YmNjQ54/f85oPJR0VacVlpKSQsaMGUMWLFggm+AkMHz4cDJp0iTx++joaGJra0u+fPki9Wu9fPmSDBo0iKSlpRFC/jdGLev19phAW2BUha5fv47Tp09j165d4PF42LhxIyZNmoSGDRsiJSUFWVlZjLbAgMKW4bp16xASEgJNTU06xV6BEEIQFhaGdevWVXnJkaq2wvz8/NCqVSvcuHED7du3r9K1q4P8fwvowoUL0NTUxPDhw/Hw4UOsXLkSjo6OMDQ0lPo1ra2tYWtri169euHJkyfivwVprnSudOSSTuWItsAkM2nSJDJgwADi4eFBmjVrRvr06UMuXLhACCFk/fr1pH///uTatWsKNT236BtnXl4eGTVqFHn48CHDEdVs+fn5xMDAgAAgAQEBVT5PZVphIpGIeHh4yG2sq6JYiixYsIC4uLiQGTNmEH9/f5le98KFC6R9+/Zkz5491ZokosjoJA6awMo0d+5cMmzYsGKfLVy4kLi4uJDg4GBCCCErV64k7du3JxEREUyEWK7Y2FhiZ2dHABA3Nzfy+vVrpkOqsaZMmUIAkFmzZlX5HJLMSCyark4IIfPnz5fZDMPK+j7hFt1zRCJRsYkWshAfH08+ffqkEP8GskATGE1gpVqwYAExMzMTvy963iQzM5MMHz68WGK7ePGi3OOTlEAgIH/99Rdp3LgxYbPZxNPTk+mQaqQbN24QAKRBgwbVeuaqrFZYTk4O+f3330mdOnXI8ePHpRGy1H2fRHJzc8n+/fvJ4sWLGW0dKjs6BkaVIBAIYGdnh3r16sHLywsAoK2tjYKCAujo6GDZsmUICwvD58+fARSuhwRIt76btHA4HEyYMAFRUVHYsWOHeLbXly9fkJaWxnB0NUfPnj1hYGCA5ORk3L17t8rn+XEsTCAQ4NixY2jevDmWL1+OUaNGoX///lKMXHq+H5edPn06nj59CkNDQ+jp6ZXYVyQSFXufmpoq8/hUmnzyqfzQFlj5cnJyiLe3N2nbti05ePAgIeR/3yDDwsKIh4eHUq/TNXbsWKKnp0e2bNlSrJoBJTvS6EYkpHgr7MyZMwQAGTVqlFJVZSl6+L+oFVn0t/VjV19YWBjx9fUllpaWZObMmfINUgnQFhhVKk1NTbi4uOCXX37BoUOHsH//fvE3yI0bN8LIyAgcDofhKKtu586dmDBhAjw9PWFpaYmDBw+ioKCA6bBU2siRIwEAPj4+VZ6NCAAODg7gcrl4/vw5atWqhYiICJw7dw7NmjWTVqgyZ2BgAKCwVUYIKfa/eXl5ePPmDWbOnIlly5bh/PnzSEpKQm5uLsNRKzG5pFM5oi0wyeTm5hJvb2/Svn17cvjwYTJt2rRiK8sq++Dwhw8fyLhx44impiaJiYkhhBClblkqsurMRhQIBOTKlSukd+/eBABp1KiRzGokMuXz588kLCyMDB06lNjY2BAPDw8SExNDIiIiyPz588ULbKpKGShpoC0wqlwaGhpwdXXF0qVLsWjRImRnZ+Po0aMACvvplf15qyZNmsDLywufPn2CmZkZ8vLyYGlpiZkzZ+LZs2dMh6dSatWqhaFDhwIofC5KUgKBAK1atYKrqyt4PB4uXLiAZ8+eSaU6hyIJCAjAyJEjYWFhgYYNG0JXVxdmZmZ49OgR7t+/D3NzcwCF/45UJckpocoNbYFVTk5OTrEl1pW95VWWjIwMsn79emJsbEwAECcnJ3L69GmV/XnlTZLZiCKRiNy7d49MnTpV/HzhkSNHSizfI+0aiYqgqIKMQCAgnTt3Ji4uLsTFxaXEcjK9evUq8YhLTURbYDXY6tWr8eLFC4n21dTURIcOHQCoRsurLLVr18batWvx6dMn+Pj4QFNTE7t37xaPUXz58oXpEJVaebMRs7KycOjQIdjZ2aFLly64c+cOPn78CACYNm1aiUoa0qqRqAjI/8/gtbGxgVAoBIfDwb1795CZmYnMzExYWFiI9+3duze+fv0KoVCIefPmMRWyUqEJTMXMnj0br1+/LrFK64/Td0sbbK8JJWlq1aoFd3d33L59G0FBQQCAx48fw8zMDK6urvj3338hEAiYDVIJ/diNSAqfMQUAuLu7Y/bs2WjSpAn+++8/REVFoVWrVmWey8DAAAsWLAAArF+/vsTvrjL5/gvh95OjeDwe+vbtK17NecyYMQgJCcGzZ8/g5+eH2NhYzJ8/X+7xKh05tAblqiZ3Ic6ZM4eMHj1a/P7KlSvF1lN7+fIlWbt2LROhKbSsrCxy+PBh0qZNGwKA1KlTh6xYsYLpsJTOtWvXCACipaVFLC0txRM6wsLCxBNpJCWr9cIUwZ07d0jnzp3F3aM9evQglpaWpGPHjuTo0aPi/bZu3Uo+fPjAVJiMopU4algCW7duHdHS0hK//+OPP0iPHj1IcnKy+LPo6Ghibm5ebBFR6n9EIhEJCQkhq1evJrt37yaEEPL+/XvSp08fsmfPHvLp0yeGI1Rca9euJfr6+uKFawcPHkxevHhRrXOq4lhYkatXrxJCChe9tLW1JYQUJu3WrVuTw4cPMxmaQqBjYDWIQCBAly5d4ODggG3btuHIkSO4dOkSjh07hvr164v3s7CwgKenJ0QikVJ3y8gKi8WCg4MDNm7cKO6+ycjIAAAsXrwY5ubmaNOmDbZv385kmIyLiYnB3r170bdvX0RGRgIAjI2NMXfuXLi4uAAATE1N0bp162pdR5XGwoqQ/+9WHTx4MPbs2YOwsDA8evQIQGHX6Y0bN2BmZka7sSUln3wqPzWtBfb9el3BwcGkY8eORFtbm6Smphbbb/z48SQqKoq8ffu2WKuMkkx6ejrx9vYm48aNI/PnzyeEEJKWlkYmTpxI9uzZQx48eCDzAq5MEAgE4pmav//+u7ibtVatWqRPnz4lqqFLqzZiEVVuhRHyv2e/hEIhfU7xO5Lex1mEKGChu2rIyMiAnp4eeDwedHV1mQ5HppYsWYLPnz+jVatWmDx5MkxMTHD//n2sWLECzs7O2LhxIwBg7Nix4HK5OHHiBMMRq5awsDD89NNPeP78OQoKCsBms9GpUyfcu3cPAPD8+XNYWlpCS0uL4UglQwjB69ev8fTpU4SGhiI0NBQRERF48+YNTExMsHLlSsTFxcHFxQX9+/cv9e+roKAADRs2RFpaGgICAuDs7FytmNLS0tCkSRNkZGTAx8cH7u7u1TqfohCJROJJU+T/K3VQ/yPpfZwmMCU1a9YsJCcnY8yYMdi1axe2bdsGJycnAMC9e/ewatUqdOzYEcnJyeByuTh48CAA+sciC/n5+Xj58iVCQ0PB4/GwdOlS5OfnQ1dXFwKBAC1btoS9vT3s7e0xZcoUaGtrIzc3FxoaGoz8t8jOzkZCQgLi4+Px6dMnJCYmYtmyZSCEoG7duvj27RssLS1hb28PBwcHTJw4sVhXdEWmTp2K48ePY9asWdi/f3+14127di02btwIW1tbhIeHq+Rs2aK/y69fvwJApf69VRFNYCqcwKZMmYJv377Bz88PQOE05dq1a8PU1BTt2rWDu7s77t27hwkTJqB9+/bw9vYGUPxbHyVbQqEQz549E7dkQkND8fz5cyQmJqJOnToYNGgQ/P39YWRkJH7NnDkTffr0QWxsLF6/fg1jY2Po6+tDTU0Nmpqa0NfXByEE+fn5YLFYEAgEKCgogEAggEAggL6+PrhcLqKiohAWFiZOUgkJCejUqRPmzp2LsLAw2NvbF4u1VatWePHiBdhsNiIiImBubg59ff0q/+z//fcf+vfvjwYNGiA+Pr7atTXT0tJgb2+PadOm4eeff4a6unq1zqeoIiIicPHiRWRlZWHt2rXiuoo/Cg0NxdOnTzFjxgw5Ryg/kt7HmV0vnqq05ORkXLt2DTNnzgQA7NmzBxEREVi1ahXi4uKwfPly1K5dG3369MGNGzfQvHlzAIXf8Gjykh8Oh4N27dqhXbt2mD59OoDCllpRuaDFixejf//+4gQTHx8PPp8PAPj333/F/32LODs7IyAgALm5udDW1i71mv/++y/69++Pc+fOYd26ddDW1oaxsTGMjIzEkwIsLS1x+vRpGBkZwdjYGI0aNULt2rXF57Czs6v2z/7jQ83V7UY0MDBAdHS0UheZLg8hBHl5eVixYgU6d+4MOzu7MpPX06dP8eeff+Lu3bt4+vQpjhw5IudoFQttgSmhFy9eYOTIkWjUqBHy8vJw9uxZmJqaIisrCwsWLECfPn0wevRo8f605aVc8vPzxUktIyMDAoEAderUgZOTEwoKCsQtag6HAzU1NdSqVQtqamro0KEDGjRogIyMDLBYrGKJSd6k3Y1YE+Tm5kJTU1P8/sfu/pcvX+LXX39Fq1at0L9/f2zfvh26urri4QFVIvF9XDZzSJhTU2Yhvnr1itjY2JA5c+YU+9zZ2ZkcOXKEoagoqpC0ZyPWBOXV5QwJCSHjxo0jFhYWZNGiReLPO3fuTE6ePCmP8OSKPgem4lq2bIm///4bt27dwsaNG8Hn8zF27Fg0adIE06ZNYzo8qoaT1krNNUlZE3pCQ0OxZ88eNG7cGDt27MCTJ0+wc+dOvH79Gq1atarWeKWyowlMibVu3RoXL17EmTNn0KRJE+jq6uLYsWMAStY+pCh5quoSK1RxX758wZo1a9CwYUOMGTMGrq6uOH/+PDZs2IB169YhISEBJiYmAIDMzEyGo5U/msCUnI2NDS5evIgpU6aI+8LpmBelCKS1UnNN1qhRIzRu3BgPHjyAtbU1gMKqJ8OHD8f69etx8uRJ2NvbIzY2FvXq1cOoUaMYjli+6CQOFUOTF6Uoih5qLigowOPHj9GyZUumQ1Iq5LtJHDNnzkRWVhZ27dqF//77D1OnTsWDBw/Qrl07xMfHo3Xr1vDw8ACPx4OOjo7ST5yhz4HV0ARGUYokIiICLVq0gIaGBtOhKKXvv5BOnToViYmJePToEbZs2YIZM2YgLi4O3bp1g4GBAUJDQwEAQ4YMgZWVFbZt28Zk6NVCExhNYBRFqYDvk9jXr1+Rm5sLMzMzxMXFwdbWFgMHDkRiYiLc3d0xZ84cAMDx48cxfPhwpb0H0geZKYqiVACbzRZ3JxaVmPr06RPs7e0xZswY7N+/H58/f0a/fv3QoEEDjBgxAlOmTGE4avmgCYyiKErB/TjFftu2bejfv794rMvExAQBAQFISUmpUfVOaRciRVGUEiOFCxOr1OQtSe/jqvMTUxRF1QA/tjlYLJZKJa/KoF2IFEWpDKFQiIyMDHz8+BECgQAdOnRgOiSpqyndg5KgCYyiKJWQnZ2NPXv24Pr163j27BmaNWuG9u3bY9KkSXB0dGQ6PEoGZNbu3Lx5M5ycnKClpSVxra5JkyaBxWIVe/Xv319WIVIUpSLS0tIwZMgQeHl5YezYseDxePD19UWbNm2wcOFCpsOjZERmCSw/Px8jRozArFmzKnVc//79kZCQIH6dPXtWRhFSFKUqitZKe/78uXgtNRMTE8ycORM6Ojq4dOkSswFSMiGzLsT169cDAE6ePFmp47hcLho2bCiDiCiKUkUikQjPnj3D0KFDweFwUFBQADU1NfEDwLNnz4a3t7e4uDClOhRu6kpQUBAaNGgAKysrzJo1C6mpqUyHRFGUAmOz2UhNTUVubi4AiIcf1NQKv5/r6OjAzc2tRlZrV3UKlcD69++PU6dOwd/fH7/99hvu3LmDAQMGlFvJms/nIyMjo9iLoqiaZcmSJbh48SIAiBNX0ZJCHTp0QFJSEiZPnsxYfJRsVCqBLV++vMQkix9fb968qXIwo0ePhqurK2xsbDB06FD8888/CAkJQVBQUJnHbN26FXp6euKXqalpla9PUZRysrCwgKOjI+bOnYuoqCgAhbMSd+7cCTs7O5w4cQKPHj3C1atXGY6UkqZKVeL4+vVrhV16TZs2hbq6uvj9yZMnsXDhQqSnp1cpwPr162PTpk2YMWNGqdv5fD74fL74fUZGBkxNTWklDoqqYb5+/Yo7d+6gc+fO8Pb2xu7du6GtrY3Vq1dj9OjRePz4MVasWIGAgACmQ6UqIJNivvXr1xcXk5SHz58/IzU1FUZGRmXuw+VyweVy5RYTRVGKqX79+qhXrx5sbGxgYWGBrVu3YvTo0eLtjo6OEAgE+PfffzFgwAAGI6WkRWZjYLGxsYiIiEBsbCyEQiEiIiIQERGBrKws8T4tWrSAn58fACArKws///wzHj16hE+fPsHf3x9DhgyBpaUl+vXrJ6swKYpSIEXjVlVlYmICkUiEx48fY/To0SCEID8/H/n5+QCAdu3aISUlRRqhUgpAZgls7dq1aNu2LTw9PZGVlYW2bduibdu2ePr0qXifqKgo8Hg8AACHw8Hz58/h6uqK5s2bY+rUqbC3t0dwcDBtYVGUCgkPD8fLly8RFxeHoKAgfP36FWlpaXj58mW1a/pZWlpizJgx2Lx5M4DCVaHV1dWhrq6OyMhIeHt7w8rKSho/BqUAaDV6iqLkasmSJQgLC0N4eDjMzc1hbm6OJ0+ewMXFBR8+fEDDhg3h5eVV5fO/f/8egwcPho+PD1q1aoWEhATcunUL58+fh4mJCQ4ePFijlhxRRrQaPUVRCmnVqlXw9fXF6dOnwWazsX//frx58wa2trbw9/evdmKxsLDA1KlT4enpiebNm2P8+PG4dOkSmjVrhvnz5wOgBXFVBW2BURTFCKFQCCsrK0RHR+PFixfYuHEj7OzsMG/ePNSuXbta5yaEICEhAdeuXYOenh7q1KmD7t27F5shTSkumcxCpCiKkoa8vDxoaGjA2toaDg4O4PP5GDlyJJYvXw42m13tLj4WiwVjY2NMnz692Oe061C10ARGUZTcaWhoAABsbGyQnp6OP//8E05OThAIBPjw4QNev34NFxcXqV+XJi/VQhMYRVFyl5OTg169eiElJQV//PEHjI2N4efnh4CAALx8+RJ37tyBj48P3NzcmA6VUmA0gVEUJXdaWlpYsWIFCCF48eIFduzYgVevXsHQ0BDXrl3Dv//+i2vXrtEERpWLzkKkKIoROTk5cHNzw7dv37BhwwZcu3YNJiYmMDMzw+jRoxEWFgYVm2NGSRltgVEUxYju3bujXbt22L59u/izlJQUREZGwtraGsbGxrh27RoGDx7MYJSUIqMtMIqiGGFkZIT69evj9u3b4s969+6NW7duAQDmzJlDq/BQ5aItMIqiGDN48GB4e3ujd+/eAIDZs2fj48ePAEAL7lIVoi0wiqIY4+7uXqzAt6mpKbp16yZ+T8fAqPLQBEZRFGOMjIxw9uzZMrfT57ao8tAERlEU42hLi6oKmsAoimIcbWlRVUETGEVRFKWUaAKjKIqilBJNYBRFUZRSogmMoiiKUko0gVEURVFKiSYwiqIoSinRBEZRFEUpJZrAKIqiKKVEExhFURSllGgCoyiKopQSTWAURVGUUqIJjKIoilJKNIFRFEVRSokmMIqiKEop0QRGURRFKSWawCiKoiilRBMYRVEUpZRoAqMoiqKUEk1gFEVRlFKiCYyiKIpSSjSBURRFUUpJjekApI0QAgDIyMhgOBKKoiiqKoru30X387KoXALLzMwEAJiamjIcCUVRFFUdmZmZ0NPTK3M7i1SU4pSMSCRCfHw8ateuDRaLxXQ45crIyICpqSni4uKgq6vLdDiVosyxA8odvzLHDih3/DR2+SCEIDMzE8bGxmCzyx7pUrkWGJvNhomJCdNhVIqurq7C/0KVRZljB5Q7fmWOHVDu+Gnssldey6sIncRBURRFKSWawCiKoiilRBMYg7hcLjw9PcHlcpkOpdKUOXZAueNX5tgB5Y6fxq5YVG4SB0VRFFUz0BYYRVEUpZRoAqMoiqKUEk1gFEVRlFKiCYyiKIpSSjSBydnmzZvh5OQELS0t6OvrS3TMpEmTwGKxir369+8v20BLUZXYCSFYu3YtjIyMoKmpid69e+Pdu3eyDbQUaWlp8PDwgK6uLvT19TF16lRkZWWVe0yPHj1K/LvPnDlTLvHu27cP5ubm0NDQgKOjI548eVLu/hcuXECLFi2goaEBGxsbXL9+XS5xlqYysZ88ebLEv7GGhoYco/2fu3fvwsXFBcbGxmCxWLh06VKFxwQFBaFdu3bgcrmwtLTEyZMnZR5nWSobf1BQUIl/exaLhcTERPkELAU0gclZfn4+RowYgVmzZlXquP79+yMhIUH8Onv2rIwiLFtVYt+2bRv+/PNPHDx4EI8fP4a2tjb69euHvLw8GUZakoeHByIjI3Hr1i38X3v3F9LU/8dx/JV/NgtREXWbUOLMVpj/RZkXamhpeqF0URrIitKIAqWyLAixLsqSvAihIDKI6M+FJRQlOZXQ1iidaGrS1jAMtsjyT2lF+v5dRKdW2ncuz9b6vR8gtOPnzGcflm+2jvP27dt48OABSktL//O8kpISm30/deqU6K3Xr1/Hvn37UFVVhe7ubsTGxiI7OxuvX7+ec/3Dhw9RVFSEHTt2wGAwoKCgAAUFBXj69KnorT9baDvw9Z0hftzj4eFhJxZ/9+HDB8TGxqK+vt6u9WazGXl5eVi3bh16enpQXl6OnTt3orm5WeTSuS20/5uhoSGb/Q8JCRGpUATEXKKhoYH8/f3tWqvRaCg/P1/UnoWwt312dpbkcjmdPn1aODY2NkZSqZSuXr0qYqGtgYEBAkCPHz8Wjt29e5eWLFlCr169mve89PR0Kisrc0KhreTkZNqzZ49we2ZmhkJDQ+nEiRNzrt+8eTPl5eXZHEtJSaFdu3aJ2jmXhbYv5N+BMwGgmzdv/nbNwYMHKSoqyubYli1bKDs7W8Qy+9jT39bWRgDo3bt3TmkSAz8DcxPt7e0ICQmBSqXC7t27MTo66uqk/2Q2m2GxWJCVlSUc8/f3R0pKCnQ6ndM6dDodAgICkJSUJBzLysqCh4cH9Hr9b8+9cuUKgoKCsHbtWhw+fBhTU1Oitn7+/BldXV02e+bh4YGsrKx590yn09msB4Ds7Gyn7jHgWDsAvH//HmFhYVi+fDny8/PR39/vjNw/9rfs+5+Ki4uDQqHA+vXr0dnZ6eqcBfnn3sz3X5STk4NNmzYhPDwcJpMJR44cwcaNG6HT6eDp6enqvHl9ey1dJpPZHJfJZE59nd1isfzysoiXlxcCAwN/27F161aEhYUhNDQUvb29OHToEIaGhtDY2Cha65s3bzAzMzPnnj179mzOcywWi8v3GHCsXaVS4eLFi4iJicH4+Dhqa2uRmpqK/v7+v/5Nuefb94mJCUxPT2Pp0qUuKrOPQqHAuXPnkJSUhE+fPuHChQvIyMiAXq9HQkKCq/PswgNsEVRWVqKmpua3awYHB7F69WqH7r+wsFD4c3R0NGJiYhAREYH29nZkZmY6dJ/fiN0uJnvbHfXj/5FFR0dDoVAgMzMTJpMJERERDt8v+06tVkOtVgu3U1NTsWbNGpw/fx7Hjx93Ydm/T6VSQaVSCbdTU1NhMplQV1eHy5cvu7DMfjzAFsH+/fuxbdu2365RKpWL9vWUSiWCgoJgNBr/eICJ2S6XywEAVqsVCoVCOG61WhEXF+fQff7I3na5XP7LRQRfvnzB27dvhUZ7pKSkAACMRqNoAywoKAienp6wWq02x61W67ytcrl8QevF4kj7z7y9vREfHw+j0ShG4qKab9/9/Pz++mdf80lOTkZHR4erM+zGA2wRBAcHIzg42Glfb2RkBKOjozZDwVFitoeHh0Mul0Or1QoDa2JiAnq9fsFXYc7F3na1Wo2xsTF0dXUhMTERANDa2orZ2VlhKNmjp6cHABZl3+cjkUiQmJgIrVaLgoICAF9/SatWq8XevXvnPEetVkOr1aK8vFw4dv/+fZtnNs7gSPvPZmZm0NfXh9zcXBFLF4darf7lxxVcse+LqaenR9TH96Jz9VUk/2+Gh4fJYDBQdXU1+fr6ksFgIIPBQJOTk8IalUpFjY2NREQ0OTlJBw4cIJ1OR2azmVpaWighIYEiIyPp48ePf3U7EdHJkycpICCAmpqaqLe3l/Lz8yk8PJymp6ed2p6Tk0Px8fGk1+upo6ODIiMjqaioSPj8yMgIqVQq0uv1RERkNBrp2LFj9OTJEzKbzdTU1ERKpZLS0tJEb7127RpJpVK6dOkSDQwMUGlpKQUEBJDFYiEiouLiYqqsrBTWd3Z2kpeXF9XW1tLg4CBVVVWRt7c39fX1id76p+3V1dXU3NxMJpOJurq6qLCwkHx8fKi/v9/p7ZOTk8JjGgCdOXOGDAYDDQ8PExFRZWUlFRcXC+tfvHhBy5Yto4qKChocHKT6+nry9PSke/fuOb3dkf66ujq6desWPX/+nPr6+qisrIw8PDyopaXFJf2O4AHmZBqNhgD88tHW1iasAUANDQ1ERDQ1NUUbNmyg4OBg8vb2prCwMCopKRG+IfzN7URfL6U/evQoyWQykkqllJmZSUNDQ05vHx0dpaKiIvL19SU/Pz/avn27zeA1m802f5eXL19SWloaBQYGklQqpZUrV1JFRQWNj487pffs2bO0YsUKkkgklJycTI8ePRI+l56eThqNxmb9jRs3aNWqVSSRSCgqKoru3LnjlM65LKS9vLxcWCuTySg3N5e6u7tdUP39svKfP771ajQaSk9P/+WcuLg4kkgkpFQqbR77zrbQ/pqaGoqIiCAfHx8KDAykjIwMam1tdU28g/jXqTDGGHNL/HNgjDHG3BIPMMYYY26JBxhjjDG3xAOMMcaYW+IBxhhjzC3xAGOMMeaWeIAxxhhzSzzAGGOMuSUeYIwxxtwSDzDGGGNuiQcYY4wxt8QDjDHGmFv6H+4Dsqh83CWGAAAAAElFTkSuQmCC", + "image/png": 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", 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    " ] @@ -104,7 +86,8 @@ "\n", "\n", "fig, ax = plt.subplots()\n", - "G.plot(ax = ax, angle_labels_circle=True)" + "G.plot(ax = ax)\n", + "G.plot_angle_circle(ax = ax)" ] }, { @@ -134,7 +117,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -143,7 +126,7 @@ }, { "data": { - "image/png": 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", + "image/png": 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    " ] @@ -154,7 +137,7 @@ ], "source": [ "# If return type is `matrix`, the function returns the matrix of angles and the labels of the angles in the order of the rows/columns in the matrix \n", - "M,Labels = G.get_all_angles(returntype='matrix')\n", + "M,Labels = G.get_all_normals_matrix()\n", "print(M)\n", "\n", "plt.matshow(M)\n", @@ -196,7 +179,7 @@ } ], "source": [ - "angles_dict = G.get_all_angles(returntype='dict')\n", + "angles_dict = G.get_normals_dict()\n", "angles_dict" ] }, @@ -225,16 +208,16 @@ " 2.03: [('C', 'D')],\n", " 2.9: [('C', 'E')],\n", " 3.46: [('D', 'E')],\n", - " 8.64: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", - " 8.75: [('A', 'C')],\n", - " 8.96: [('A', 'D'), ('F', 'C')],\n", - " 8.17: [('A', 'E')],\n", - " 8.84: [('B', 'C')],\n", + " 2.36: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " 2.47: [('A', 'C')],\n", + " 2.68: [('A', 'D'), ('F', 'C')],\n", + " 1.89: [('A', 'E')],\n", + " 2.56: [('B', 'C')],\n", " 3.14: [('B', 'D'), ('E', 'F')],\n", - " 7.07: [('B', 'E'), ('D', 'F')],\n", + " 0.79: [('B', 'E'), ('D', 'F')],\n", " 5.17: [('C', 'D')],\n", " 6.04: [('C', 'E')],\n", - " 6.6: [('D', 'E')]}" + " 0.32: [('D', 'E')]}" ] }, "execution_count": 6, @@ -243,9 +226,8 @@ } ], "source": [ - "G.get_all_angles(returntype='dict', \n", - " opposites = True, \n", - " num_rounding_digits=2)" + "G.get_normals_dict(opposites = True, \n", + " num_rounding_digits=2)" ] } ], diff --git a/docs/.buildinfo b/docs/.buildinfo index c328c0c..7f1a166 100644 --- a/docs/.buildinfo +++ b/docs/.buildinfo @@ -1,4 +1,4 @@ # Sphinx build info version 1 # This file hashes the configuration used when building these files. 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z<)K4L7Gz)}zS9zJv3c{m*sGN&LPsEQ0_D@ZQ`sM!>fPTlKZ@cGycl$u56GgD*;=a z1olwkS1RF(t7{O9m#h3q(90Naim?6?Z~^SjL?o-kr2~&L^()6%X#O5NuGqkhcPWf} zQ*!WjsAHc^5s<&A?df~o>Div+oL~b4S>GH4T~b zl(5RZ&dG@eC$wYZT?XA~c}-s77{q$5ciI!>G(fo1aVxU;n9o~Uuqg{maS#WY7Mb#1 zw&~4B@c}b14eyguKWd8L=>|}C0(*JZ+pE*=+tVpv-y*5cwv0Pv4-B9Bk-&gs2#!&L zz_>en+{(_bJ1Igx9dtuJ*1Q3293#~cGKhj45YzwI8vj4+pm!Y{=l$KwTbJ?l1^8bA O5K2bnF5!;hv;PMz{BnE% diff --git a/docs/_modules/ect/ect_graph.html b/docs/_modules/ect/ect_graph.html index 87a8589..0f6c85d 100644 --- a/docs/_modules/ect/ect_graph.html +++ b/docs/_modules/ect/ect_graph.html @@ -1,25 +1,23 @@ + + ect.ect_graph — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + diff --git a/docs/_modules/ect/embed_cw.html b/docs/_modules/ect/embed_cw.html index d84baa0..e612836 100644 --- a/docs/_modules/ect/embed_cw.html +++ b/docs/_modules/ect/embed_cw.html @@ -1,25 +1,23 @@ + + ect.embed_cw — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + diff --git a/docs/_modules/ect/embed_graph.html b/docs/_modules/ect/embed_graph.html index 590c355..5e6c0c7 100644 --- a/docs/_modules/ect/embed_graph.html +++ b/docs/_modules/ect/embed_graph.html @@ -1,25 +1,23 @@ + + ect.embed_graph — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + @@ -161,7 +159,7 @@

    Source code for ect.embed_graph

     [docs]
         def add_node(self, vertex, x, y):
             """Add a vertex to the graph. 
    -        If the vertex name is given as None, it will be assigned via the next_vert_name method.
    +        If the vertex name is given as None, it will be assigned via the ``next_vert_name`` method.
     
             Parameters:
                 vertex (hashable like int or str, or None) : The name of the vertex to add.
    @@ -206,7 +204,7 @@ 

    Source code for ect.embed_graph

             """ 
             Making a simple name generator for vertices. 
             If you're using integers, it will just up the count by one. 
    -        Letters will be incremented in the alphabet. If you reach 'Z', it will return 'AA'. If you reach 'ZZ', it will return 'AAA', etc.
    +        Letters will be incremented in the alphabet. If you reach ``Z``, it will return ``AA``. If you reach ``ZZ``, it will return ``AAA``, etc.
     
             Parameters:
                 s (str or int): The name of the vertex to increment.
    @@ -338,7 +336,7 @@ 

    Source code for ect.embed_graph

             Method to find a bounding box of the vertex coordinates in the graph.
     
             Returns:
    -            list: A list of tuples representing the minimum and maximum x and y coordinates.
    +            list: A list of tuples representing the minimum and maximum :math:`x` and :math:`y` coordinates.
     
             """
             if not self.coordinates:
    @@ -352,13 +350,13 @@ 

    Source code for ect.embed_graph

     [docs]
         def get_center(self, type='origin'):
             """
    -        Calculate and return the center of the graph. This can be done by either returning the average of the coordiantes (`mean`), the center of the bounding box (`min_max`), or the origin (`origin`).
    +        Calculate and return the center of the graph. This can be done by either returning the average of the coordiantes (``mean``), the center of the bounding box (``min_max``), or the origin (``origin``).
     
             Parameters:
    -            type (str): The type of center to calculate. Options are 'mean', 'min_max', or 'origin'.
    +            type (str): The type of center to calculate. Options are ``mean``, ``min_max``, or ``origin``.
     
             Returns:
    -            numpy.ndarray: The (x, y) coordinates of the center.
    +            numpy.ndarray: The :math:`(x, y)` coordinates of the center.
             """
             if not self.coordinates:
                 return np.array([0.0, 0.0])
    @@ -382,7 +380,7 @@ 

    Source code for ect.embed_graph

             Method to find the radius of the bounding circle of the vertex coordinates in the graph. 
     
             Parameters:
    -            type (str): The type of center to calculate the radius relative to. Options are 'mean', 'min_max', or 'origin'.
    +            type (str): The type of center to calculate the radius relative to. Options are ``mean``, ``min_max``, or ``origin``.
     
             Returns:
                 float: The radius of the bounding circle.
    @@ -407,8 +405,8 @@ 

    Source code for ect.embed_graph

             """
             Method to find the centered coordinates of the vertices in the graph.
     
    -        If type is 'min_max', the coordinates are centered at the mean of the min and max values of the x and y coordinates.
    -        If type is 'mean', the coordinates are centered at the mean of the x and y coordinates.
    +        If type is ``min_max``, the coordinates are centered at the mean of the min and max values of the :math:`x` and :math:`y` coordinates.
    +        If type is ``mean``, the coordinates are centered at the mean of the :math:`x` and :math:`y` coordinates.
             """
     
             if not self.coordinates:
    @@ -432,7 +430,7 @@ 

    Source code for ect.embed_graph

     [docs]
         def get_scaled_coordinates(self, radius=1):
             """
    -        Method to find the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by `radius`.
    +        Method to find the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by ``radius``.
     
             Parameters:
                 radius (float):
    @@ -458,13 +456,53 @@ 

    Source code for ect.embed_graph

     [docs]
         def set_scaled_coordinates(self, radius=1):
             """
    -        Method to set the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by `radius`. Warning: This overwrites the original coordinates
    +        Method to set the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by ``radius``. Warning: This overwrites the original coordinates
     
             """
     
             self.coordinates = self.get_scaled_coordinates(radius)
    +
    +[docs] + def rescale_to_unit_disk(self, preserve_center=True, center_type='origin'): + """ + Rescales the graph coordinates to fit within a radius 1 disk. + + Parameters: + preserve_center (bool): If True, maintains the current center point of type ``center_type``. + If False, centers the graph at (0, 0). + + Returns: + self: Returns the instance for method chaining. + + Raises: + ValueError: If the graph has no coordinates or all coordinates are identical. + """ + if not self.coordinates: + raise ValueError("Graph has no coordinates to rescale.") + + center = self.get_center(center_type) + coords = np.array(list(self.coordinates.values())) + + coords_centered = coords - center + + max_distance = np.max(np.linalg.norm(coords_centered, axis=1)) + + if np.isclose(max_distance, 0): + raise ValueError("All coordinates are identical. Cannot rescale.") + + scale_factor = 1 / max_distance + + new_coords = (coords_centered * scale_factor) + \ + (center if preserve_center else 0) + + for vertex, new_coord in zip(self.coordinates.keys(), new_coords): + self.coordinates[vertex] = tuple(new_coord) + + return self
    + +
    [docs] def get_PCA_coordinates(self): @@ -497,9 +535,9 @@

    Source code for ect.embed_graph

         def set_PCA_coordinates(self, center_type=None, scale_radius=None):
             """
             Method to set the PCA coordinates of the vertices in the graph which is helpful for coarse alignment. 
    -        If you also want to center at zero, the options for `center_type` are `mean` or `min_max`.
    -        Set `scale_radius` to a value to scale to a specific radius.
    -        Warning: This overwrites the original coordinates
    +        If you also want to center at zero, the options for ``center_type`` are ``mean`` or ``min_max``.
    +        Set ``scale_radius`` to a value to scale to a specific radius.
    +        Warning: This overwrites the original coordinates.
             """
             self.coordinates = self.get_PCA_coordinates()
     
    @@ -510,6 +548,10 @@ 

    Source code for ect.embed_graph

                 self.set_scaled_coordinates(radius=scale_radius)
    + # ================ + # Functions for computing the function g(v) for vertices and edges + # ================ +
    [docs] def g_omega(self, theta): @@ -598,9 +640,9 @@

    Source code for ect.embed_graph

     
             .. math ::
     
    -            g_\\omega(e) = \\max \{ g_\\omega(v) \\mid  v \in e \}
    +            g_\\omega(e) = \\max \\{ g_\\omega(v) \\mid  v \in e \\}
     
    -        in the direction of :math:`\\theta \in [0,2\\pi]` .
    +        in the direction of :math:`\\theta \\in [0,2\\pi]` .
     
             Parameters:
                 theta (float):
    @@ -628,7 +670,7 @@ 

    Source code for ect.embed_graph

     [docs]
         def lower_edges(self, v, omega):
             """
    -        Function to compute the number of lower edges of a vertex v for a specific direction (included by the use of sorted v_list).
    +        Function to compute the number of lower edges of a vertex `v` for a specific direction (included by the use of sorted `v_list`).
     
             Parameters:
                 v (str):
    @@ -646,28 +688,22 @@ 

    Source code for ect.embed_graph

             return sum(n >= gv for n in Lg)  # includes possible duplicate counts
    -
    -[docs] - def get_all_angles(self, returntype='matrix', - num_rounding_digits=None, - edges_only=False, - opposites=False): + # ================ + # Functions for getting the angles where vertices switch order + # ================ + +
    +[docs] + def get_all_normals_matrix(self, num_rounding_digits=None): """ - Function to get all angles of normals to any line between veritces in the graph. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order. + Function to get all angles of normals to any line between vertices in the graph, returned as a matrix. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order. Parameters: - returntype (str): - The return type of the angles. Options are 'matrix' or 'dict'. If 'matrix', returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If 'dict', returns a dictionary of angles with `dict['A','B']` returning the angle normal to the vector :math:`\\overrightarrow{AB}`. - rounding_digits (int): - The number of digits to round the angles in either the matrix or the keys of the dictionary. - edges_only (bool): - If True, the dictionary version only returns the angle of the normals to the lines between vertices sharing an edge. The matrix version is unchanged. - opposites (bool): - If True, will also include the opposite angle in the dictionary. + num_rounding_digits (int): + The number of digits to round the angles in the matrix. If `None`, no rounding is done. Returns: - list: A list of angles of the vertices in the graph. - + A tuple consissting of a matrix of angles, and the sorted label list for the rows/columns. """ P = np.array(list(self.coordinates.values())) labels = list(self.coordinates.keys()) @@ -694,69 +730,89 @@

    Source code for ect.embed_graph

             if num_rounding_digits != None:
                 angle_matrix = np.round(angle_matrix, num_rounding_digits)
     
    -        if returntype == 'matrix':
    -            return angle_matrix, labels
    -
    -        elif returntype == 'dict':
    -            angle_dict = {}
    -            for i in range(len(labels)):
    -                for j in range(i+1, len(labels)):
    -                    # Skip this edge if edges_only is True and the vertices are not connected
    -                    if edges_only and not self.has_edge(labels[i], labels[j]):
    -                        continue
    -
    -                    if angle_matrix[i, j] in angle_dict.keys():
    -                        angle_dict[angle_matrix[i, j]].append(
    -                            (labels[i], labels[j]))
    -                    elif angle_matrix[j, i] in angle_dict.keys():
    -                        angle_dict[angle_matrix[j, i]].append(
    -                            (labels[j], labels[i]))
    -                    else:
    -                        angle_dict[angle_matrix[i, j]] = [
    -                            (labels[i], labels[j])]
    -
    -            if opposites:
    -                for key in list(angle_dict.keys()):
    -                    other_key = key + np.pi % (2*np.pi)
    -                    if num_rounding_digits != None:
    -                        other_key = round(other_key, num_rounding_digits)
    -                    angle_dict[other_key] = angle_dict[key]
    -
    -            # Make sure all keys are in the range [0, 2pi]
    -            angle_dict = {key % (2*np.pi): value for key,
    -                          value in angle_dict.items()}
    -
    -            # Make sure all keys are rounded to the correct number of digits
    -            if num_rounding_digits != None:
    -                angle_dict = {round(key, num_rounding_digits)                              : value for key, value in angle_dict.items()}
    -
    -            return angle_dict
    + return angle_matrix, labels
    +
    +[docs] + def get_normals_dict(self, + num_rounding_digits=None, + edges_only=False, + opposites=False): + """ + Function to get all angles of normals to any line between vertices in the graph, returned as a dictionary of angles with ``dict[theta]`` returning the list of pairs of vertices with vector normal to :math:`\\overrightarrow{AB}` at angle ``theta``. Note this includes both adjacent vertices and non-adjacent unless ``edges_only`` is set to ``True``. This function is useful for knowing the angle of the circle where two vertices switch in order, especially when we want to sort the events around the circle. All angles are rounded to the number of digits given by ``num_rounding_digits``, and are returned in the range :math:`[0, 2\\pi]` . + + Parameters: + num_rounding_digits (int): + The number of digits to round the angles in the dictionary. If None, no rounding is done. + edges_only (bool): + If True, the dictionary version only returns the angle of the normals to the lines between vertices sharing an edge. The matrix version is unchanged. + opposites (bool): + If True, will also include both :math:`\\theta` and :math:`\\theta + \\pi` in the dictionary keys. + + Returns: + dict: A dictionary of angles with `dict[theta]` returning the list of pairs of vertices with vector normal to :math:`\\overrightarrow\\{AB\\}` at angle `theta`, e.g. ``dict[theta] = [('A','B'), ('C', 'D')]``. + """ + + angle_matrix, labels = self.get_all_normals_matrix( + num_rounding_digits=num_rounding_digits) + + angle_dict = {} + for i in range(len(labels)): + for j in range(i+1, len(labels)): + # Skip this edge if edges_only is True and the vertices are not connected + if edges_only and not self.has_edge(labels[i], labels[j]): + continue + + if angle_matrix[i, j] in angle_dict.keys(): + angle_dict[angle_matrix[i, j]].append( + (labels[i], labels[j])) + elif angle_matrix[j, i] in angle_dict.keys(): + angle_dict[angle_matrix[j, i]].append( + (labels[j], labels[i])) + else: + angle_dict[angle_matrix[i, j]] = [ + (labels[i], labels[j])] + + if opposites: + for key in list(angle_dict.keys()): + other_key = key + np.pi % (2*np.pi) + if num_rounding_digits != None: + other_key = round(other_key, num_rounding_digits) + angle_dict[other_key] = angle_dict[key] + + # Make sure all keys are in the range [0, 2pi] + angle_dict = {key % (2*np.pi): value for key, + value in angle_dict.items()} + + # Make sure all keys are rounded to the correct number of digits + if num_rounding_digits != None: + angle_dict = {round(key, num_rounding_digits) : value for key, value in angle_dict.items()} + + return angle_dict
    + + + # ================ + # Plotting functions + # ================
    [docs] def plot(self, bounding_circle=False, - bounding_center_type='origin', color_nodes_theta=None, ax=None, with_labels=True, - angle_labels_circle=False, - edges_only=False, **kwargs): """ Function to plot the graph with the embedded coordinates. - If ``bounding_circle`` is True, a bounding circle is drawn around the graph. This is centered at the center type defined by ``bounding_center_type``. - - If ``color_nodes_theta`` is not None, it should be given as a theta in :math:`[0,2\\pi]`. Then the nodes are colored according to the :math:`g(v)` values in the direction of theta. + If ``bounding_circle`` is True, a bounding circle is drawn around the graph. - If with_labels is True, the nodes are labeled with their names. + If ``color_nodes_theta`` is not ``None``, it should be given as a :math:`theta` in :math:`[0,2\\pi]`. Then the nodes are colored according to the :math:`g(v)` values in the direction of :math:`\\theta`. - If ``ax`` is not None, the plot is drawn on the given axis. - - If `angle_labels_circle` is True, the angles of the normals to the lines between vertices are plotted on a slightly larger circle circle around the graph. If additionally, `edges_only` is True, only hash marks for pairs of vertices sharing an edge are plotted. + If ``with_labels`` is ``True``, the nodes are labeled with their names. + If ``ax`` is not ``None``, the plot is drawn on the given axis. """ if ax is None: fig, ax = plt.subplots() @@ -784,101 +840,101 @@

    Source code for ect.embed_graph

                            labelleft=True, labelbottom=True)
     
             if bounding_circle:
    -            circle_center = self.get_center(bounding_center_type)
    -            r = self.get_bounding_radius(type=bounding_center_type)
    -            circle = plt.Circle(circle_center, r, fill=False,
    -                                linestyle='--', color='r')
    -            ax.add_patch(circle)
    -
    -            # Always adjust the plot limits to show the full graph
    -            ax.set_xlim(circle_center[0] - r, circle_center[0] + r)
    -            ax.set_ylim(circle_center[1] - r, circle_center[1] + r)
    -
    -        if angle_labels_circle:
    -            circle_center = self.get_center(type='min_max')
    -            r = 1.3 * self.get_bounding_radius(type='min_max')
    -            circle = plt.Circle(circle_center, r, fill=False,
    -                                linestyle='--', color='black')
    -            ax.add_patch(circle)
    -
    -            # Get all the angles with the labels to be drawn
    -            angles_dict = self.get_all_angles(
    -                returntype='dict', edges_only=edges_only)
    -            angles_dict_labels = {key: ', '.join(
    -                [f"{a[0]}{a[1]}" for a in value]) for key, value in angles_dict.items()}
    -
    -            # Draw hash marks on the circle
    -            hash_length = 0.1*r  # Length of the hash marks
    -            for theta in angles_dict_labels.keys():
    -                for angle in [theta, (theta + np.pi) % (2*np.pi)]:
    -                    x_start = circle_center[0] + \
    -                        (r-hash_length) * np.cos(angle)
    -                    y_start = circle_center[1] + \
    -                        (r-hash_length) * np.sin(angle)
    -                    x_end = circle_center[0] + \
    -                        (r + hash_length) * np.cos(angle)
    -                    y_end = circle_center[1] + \
    -                        (r + hash_length) * np.sin(angle)
    -                    ax.plot([x_start, x_end], [y_start, y_end], color='black')
    -
    -                    # Add labels near the hash marks
    -                    scaling = 3
    -                    label_x = circle_center[0] + \
    -                        (r + scaling * hash_length) * np.cos(angle)
    -                    label_y = circle_center[1] + \
    -                        (r + scaling * hash_length) * np.sin(angle)
    -                    text_angle = angle if angle <= np.pi/2 or angle >= 3*np.pi/2 else angle - np.pi
    -                    ax.text(label_x, label_y,
    -                            angles_dict_labels[theta], ha='center', va='center', rotation=np.degrees(text_angle), fontsize=8)
    -            # Always adjust the plot limits to show the full graph
    -            scale_factor = 1.5
    -            ax.set_xlim(circle_center[0] - scale_factor*r,
    -                        circle_center[0] + scale_factor*r)
    -            ax.set_ylim(circle_center[1] - scale_factor*r,
    -                        circle_center[1] + scale_factor*r)
    +            self.plot_bounding_circle(ax=ax)
    +
             ax.set_aspect('equal', 'box')
     
             return ax
    -
    -[docs] - def rescale_to_unit_disk(self, preserve_center=True, center_type='origin'): +
    +[docs] + def plot_bounding_circle(self, ax=None, bounding_center_type='origin', **kwargs): """ - Rescales the graph coordinates to fit within a radius 1 disk. + Function to plot the bounding circle of the graph. - Parameters: - preserve_center (bool): If True, maintains the current center point of type ``center_type``. - If False, centers the graph at (0, 0). + If ``ax`` is not None, the plot is drawn on the given axis. + + If ``bounding_center_type`` is 'origin', the bounding circle is centered at the origin. If it is ``min_max``, the bounding circle is centered at the mean of the min and max values of the :math:`x` and :math`y` coordinates. - Returns: - self: Returns the instance for method chaining. - Raises: - ValueError: If the graph has no coordinates or all coordinates are identical. """ - if not self.coordinates: - raise ValueError("Graph has no coordinates to rescale.") + if ax is None: + fig, ax = plt.subplots() + else: + fig = ax.get_figure() - center = self.get_center(center_type) - coords = np.array(list(self.coordinates.values())) + circle_center = self.get_center(bounding_center_type) + r = self.get_bounding_radius(type=bounding_center_type) + circle = plt.Circle(circle_center, r, fill=False, + linestyle='--', color='r') + ax.add_patch(circle) - coords_centered = coords - center + # Always adjust the plot limits to show the full graph + ax.set_xlim(circle_center[0] - r, circle_center[0] + r) + ax.set_ylim(circle_center[1] - r, circle_center[1] + r)
    - max_distance = np.max(np.linalg.norm(coords_centered, axis=1)) - if np.isclose(max_distance, 0): - raise ValueError("All coordinates are identical. Cannot rescale.") +
    +[docs] + def plot_angle_circle(self, ax=None, edges_only=False): + """ + Function to plot the circle of angles for the graph. - scale_factor = 1 / max_distance + Example Usage: - new_coords = (coords_centered * scale_factor) + \ - (center if preserve_center else 0) + .. code-block:: python - for vertex, new_coord in zip(self.coordinates.keys(), new_coords): - self.coordinates[vertex] = tuple(new_coord) + fig, ax = plt.subplots() + G.plot(ax = ax) + G.plot_angle_circle(ax = ax) - return self
    + """ + if ax is None: + fig, ax = plt.subplots() + else: + fig = ax.get_figure() + + circle_center = self.get_center(type='min_max') + r = 1.3 * self.get_bounding_radius(type='min_max') + circle = plt.Circle(circle_center, r, fill=False, + linestyle='--', color='black') + ax.add_patch(circle) + + # Get all the angles with the labels to be drawn + angles_dict = self.get_normals_dict( + edges_only=edges_only, opposites=True) + angles_dict_labels = {key: ', '.join( + [f"{a[0]}{a[1]}" for a in value]) for key, value in angles_dict.items()} + + # Draw hash marks on the circle + hash_length = 0.1*r # Length of the hash marks + for angle in angles_dict_labels.keys(): + x_start = circle_center[0] + \ + (r-hash_length) * np.cos(angle) + y_start = circle_center[1] + \ + (r-hash_length) * np.sin(angle) + x_end = circle_center[0] + \ + (r + hash_length) * np.cos(angle) + y_end = circle_center[1] + \ + (r + hash_length) * np.sin(angle) + ax.plot([x_start, x_end], [y_start, y_end], color='black') + + # Add labels near the hash marks + scaling = 3 + label_x = circle_center[0] + \ + (r + scaling * hash_length) * np.cos(angle) + label_y = circle_center[1] + \ + (r + scaling * hash_length) * np.sin(angle) + text_angle = angle if angle <= np.pi/2 or angle >= 3*np.pi/2 else angle - np.pi + ax.text(label_x, label_y, + angles_dict_labels[angle], ha='center', va='center', rotation=np.degrees(text_angle), fontsize=8) + # Always adjust the plot limits to show the full graph + scale_factor = 1.5 + ax.set_xlim(circle_center[0] - scale_factor*r, + circle_center[0] + scale_factor*r) + ax.set_ylim(circle_center[1] - scale_factor*r, + circle_center[1] + scale_factor*r)
    diff --git a/docs/_modules/index.html b/docs/_modules/index.html index 62481c9..b82492b 100644 --- a/docs/_modules/index.html +++ b/docs/_modules/index.html @@ -1,25 +1,23 @@ + + Overview: module code — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + diff --git a/docs/_sources/notebooks/Playing_with_Spirals.ipynb.txt b/docs/_sources/notebooks/Playing_with_Spirals.ipynb.txt index 2c27e84..3b1339f 100644 --- a/docs/_sources/notebooks/Playing_with_Spirals.ipynb.txt +++ b/docs/_sources/notebooks/Playing_with_Spirals.ipynb.txt @@ -753,9 +753,16 @@ "nodelist" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Modified version breaking the spiral" + ] + }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -801,7 +808,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 8, @@ -828,38 +835,6 @@ "cell_type": "code", "execution_count": 9, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[0.0, 0.32, 1.04, 1.19, 1.57, 1.65, 1.67, 1.73, 1.82, 1.99]" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "All_Angles = G.get_all_angles('dict', num_rounding_digits=2)\n", - "\n", - "# add pi + angle for all angles \n", - "All_Angles_2pi = {}\n", - "for key in All_Angles.keys():\n", - " All_Angles_2pi[round(key,2)] = All_Angles[key]\n", - " other_key = (key + np.pi) % 2*np.pi\n", - " other_key = round(other_key, 2)\n", - " All_Angles_2pi[other_key] = All_Angles[key]\n", - "\n", - "keys = list(All_Angles_2pi.keys())\n", - "keys.sort()\n", - "keys[:10]" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, "outputs": [ { "data": { @@ -882,488 +857,319 @@ " \n", " \n", " \n", - " angle\n", - " vertex_pair(s)_swapped\n", - " sorted_order_at_next_midpoint\n", - " vertex_pair(s)\n", + " Angle\n", + " Swapped Verts\n", + " Sorted list\n", " \n", " \n", " \n", " \n", " 0\n", " 0.00\n", - " NaN\n", - " [g, c, f, a, b, X, e, d]\n", " [(c, f), (X, e)]\n", + " gcfabXed\n", " \n", " \n", " 1\n", - " 0.32\n", - " NaN\n", - " [g, c, f, a, X, d, b, e]\n", - " [(d, e)]\n", + " 0.25\n", + " [(b, X)]\n", + " gcfaXbed\n", " \n", " \n", " 2\n", - " 1.04\n", - " NaN\n", - " [g, c, d, X, a, f, b, e]\n", - " [(b, f)]\n", + " 0.32\n", + " [(d, e)]\n", + " gcfaXbed\n", " \n", " \n", " 3\n", - " 1.19\n", - " NaN\n", - " [g, d, c, X, a, b, f, e]\n", - " [(b, f)]\n", + " 0.52\n", + " [(b, d)]\n", + " gcfaXdbe\n", " \n", " \n", " 4\n", - " 1.57\n", - " NaN\n", - " [g, d, X, c, a, b, e, f]\n", - " [(e, f)]\n", + " 0.79\n", + " [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)]\n", + " gcdXafbe\n", " \n", " \n", " 5\n", - " 1.65\n", - " NaN\n", - " [d, g, X, c, a, b, e, f]\n", - " [(d, g)]\n", + " 1.15\n", + " [(c, d)]\n", + " gcdXafbe\n", " \n", " \n", " 6\n", - " 1.67\n", - " NaN\n", - " [d, g, X, c, a, b, e, f]\n", - " [(b, X)]\n", + " 1.19\n", + " [(b, f)]\n", + " gdcXafbe\n", " \n", " \n", " 7\n", - " 1.73\n", - " NaN\n", - " [d, g, X, c, a, b, e, f]\n", - " [(c, e)]\n", + " 1.41\n", + " [(c, X)]\n", + " gdXcabfe\n", " \n", " \n", " 8\n", - " 1.82\n", - " NaN\n", - " [d, g, X, a, c, b, e, f]\n", - " [(a, c)]\n", + " 1.57\n", + " [(e, f)]\n", + " gdXcabfe\n", " \n", " \n", " 9\n", - " 1.99\n", - " NaN\n", - " [d, X, g, a, c, b, e, f]\n", - " [(X, g)]\n", + " 1.65\n", + " [(d, g)]\n", + " gdXcabef\n", " \n", " \n", " 10\n", - " 2.11\n", - " NaN\n", - " [d, X, g, a, b, c, e, f]\n", - " [(b, c)]\n", + " 1.82\n", + " [(a, c)]\n", + " dgXacbef\n", " \n", " \n", " 11\n", - " 2.24\n", - " NaN\n", - " [d, X, g, a, b, c, e, f]\n", - " [(e, f)]\n", + " 1.99\n", + " [(X, g)]\n", + " dXgacbef\n", " \n", " \n", " 12\n", - " 2.28\n", - " NaN\n", - " [d, X, a, g, b, e, c, f]\n", - " [(a, g)]\n", + " 2.11\n", + " [(b, c)]\n", + " dXgacbef\n", " \n", " \n", " 13\n", - " 2.36\n", - " NaN\n", - " [d, X, a, b, g, e, c, f]\n", - " [(b, g)]\n", + " 2.27\n", + " [(c, e)]\n", + " dXgabecf\n", " \n", " \n", " 14\n", - " 2.41\n", - " NaN\n", - " [d, X, a, b, e, g, c, f]\n", - " [(e, g)]\n", + " 2.28\n", + " [(a, g)]\n", + " dXagbecf\n", " \n", " \n", " 15\n", - " 2.49\n", - " NaN\n", - " [d, X, a, b, e, g, c, f]\n", - " [(d, g)]\n", + " 2.36\n", + " [(b, g)]\n", + " dXabgecf\n", " \n", " \n", " 16\n", - " 2.52\n", - " NaN\n", - " [d, X, a, b, e, g, c, f]\n", - " [(b, d)]\n", + " 2.41\n", + " [(e, g)]\n", + " dXabegcf\n", " \n", " \n", " 17\n", " 2.60\n", - " NaN\n", - " [d, X, e, b, a, c, g, f]\n", " [(c, g)]\n", + " dXabegcf\n", " \n", " \n", " 18\n", - " 2.85\n", - " NaN\n", - " [d, X, e, b, a, c, f, g]\n", - " [(f, g)]\n", + " 2.68\n", + " [(a, b), (a, e), (b, e)]\n", + " dXebacgf\n", " \n", " \n", " 19\n", - " 3.02\n", - " NaN\n", - " [d, e, X, b, a, f, c, g]\n", - " [(a, c)]\n", + " 2.85\n", + " [(f, g)]\n", + " dXebacgf\n", " \n", " \n", " 20\n", - " 3.37\n", - " NaN\n", - " [d, e, X, b, a, f, c, g]\n", - " [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)]\n", + " 3.14\n", + " [(c, f), (X, e)]\n", + " dXebacfg\n", " \n", " \n", " 21\n", " 3.39\n", - " NaN\n", - " [e, d, b, X, a, f, c, g]\n", " [(b, X)]\n", + " debXafcg\n", " \n", " \n", " 22\n", - " 3.56\n", - " NaN\n", - " [e, d, b, X, a, f, c, g]\n", - " [(X, g)]\n", + " 3.46\n", + " [(d, e)]\n", + " debXafcg\n", " \n", " \n", " 23\n", - " 3.59\n", - " NaN\n", - " [e, d, b, X, a, f, c, g]\n", - " [(c, f), (X, e)]\n", - " \n", - " \n", - " 24\n", " 3.66\n", - " NaN\n", - " [e, b, d, X, a, f, c, g]\n", " [(b, d)]\n", + " edbXafcg\n", " \n", " \n", - " 25\n", + " 24\n", " 3.93\n", - " NaN\n", - " [e, b, f, a, X, d, c, g]\n", - " [(b, c)]\n", + " [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)]\n", + " ebfaXdcg\n", " \n", " \n", - " 26\n", + " 25\n", " 4.29\n", - " NaN\n", - " [e, f, b, a, X, c, d, g]\n", " [(c, d)]\n", + " ebfaXdcg\n", + " \n", + " \n", + " 26\n", + " 4.33\n", + " [(b, f)]\n", + " ebfaXcdg\n", " \n", " \n", " 27\n", - " 4.47\n", - " NaN\n", - " [e, f, b, a, X, c, d, g]\n", - " [(a, g)]\n", + " 4.55\n", + " [(c, X)]\n", + " efbacXdg\n", " \n", " \n", " 28\n", - " 4.50\n", - " NaN\n", - " [e, f, b, a, X, c, d, g]\n", - " [(c, d)]\n", + " 4.71\n", + " [(e, f)]\n", + " efbacXdg\n", " \n", " \n", " 29\n", - " 4.55\n", - " NaN\n", - " [e, f, b, a, c, X, d, g]\n", - " [(c, X)]\n", + " 4.79\n", + " [(d, g)]\n", + " febacXdg\n", " \n", " \n", " 30\n", - " 4.59\n", - " NaN\n", - " [e, f, b, a, c, X, d, g]\n", - " [(d, e)]\n", + " 4.96\n", + " [(a, c)]\n", + " febcaXgd\n", " \n", " \n", " 31\n", - " 4.72\n", - " NaN\n", - " [f, e, b, a, c, X, d, g]\n", - " [(b, g)]\n", + " 5.13\n", + " [(X, g)]\n", + " febcaXgd\n", " \n", " \n", " 32\n", - " 4.87\n", - " NaN\n", - " [f, e, b, c, a, X, g, d]\n", - " [(e, g)]\n", + " 5.25\n", + " [(b, c)]\n", + " febcagXd\n", " \n", " \n", " 33\n", - " 5.31\n", - " NaN\n", - " [f, e, c, b, a, g, X, d]\n", - " [(c, X)]\n", + " 5.41\n", + " [(c, e)]\n", + " fcebagXd\n", " \n", " \n", " 34\n", - " 5.41\n", - " NaN\n", - " [f, c, e, b, g, a, X, d]\n", - " [(c, e)]\n", + " 5.42\n", + " [(a, g)]\n", + " fcebagXd\n", " \n", " \n", " 35\n", - " 5.47\n", - " NaN\n", - " [f, c, g, e, b, a, X, d]\n", - " [(c, g)]\n", + " 5.50\n", + " [(b, g)]\n", + " fcegbaXd\n", " \n", " \n", " 36\n", + " 5.55\n", + " [(e, g)]\n", + " fcegbaXd\n", + " \n", + " \n", + " 37\n", + " 5.74\n", + " [(c, g)]\n", + " fcgebaXd\n", + " \n", + " \n", + " 38\n", " 5.82\n", - " NaN\n", - " [g, f, c, a, b, e, X, d]\n", " [(a, b), (a, e), (b, e)]\n", + " fgcabeXd\n", " \n", " \n", - " 37\n", - " 6.26\n", - " NaN\n", - " [g, f, c, a, b, e, X, d]\n", + " 39\n", + " 5.99\n", " [(f, g)]\n", + " fgcabeXd\n", " \n", " \n", "\n", "
    " ], "text/plain": [ - " angle vertex_pair(s)_swapped sorted_order_at_next_midpoint \\\n", - "0 0.00 NaN [g, c, f, a, b, X, e, d] \n", - "1 0.32 NaN [g, c, f, a, X, d, b, e] \n", - "2 1.04 NaN [g, c, d, X, a, f, b, e] \n", - "3 1.19 NaN [g, d, c, X, a, b, f, e] \n", - "4 1.57 NaN [g, d, X, c, a, b, e, f] \n", - "5 1.65 NaN [d, g, X, c, a, b, e, f] \n", - "6 1.67 NaN [d, g, X, c, a, b, e, f] \n", - "7 1.73 NaN [d, g, X, c, a, b, e, f] \n", - "8 1.82 NaN [d, g, X, a, c, b, e, f] \n", - "9 1.99 NaN [d, X, g, a, c, b, e, f] \n", - "10 2.11 NaN [d, X, g, a, b, c, e, f] \n", - "11 2.24 NaN [d, X, g, a, b, c, e, f] \n", - "12 2.28 NaN [d, X, a, g, b, e, c, f] \n", - "13 2.36 NaN [d, X, a, b, g, e, c, f] \n", - "14 2.41 NaN [d, X, a, b, e, g, c, f] \n", - "15 2.49 NaN [d, X, a, b, e, g, c, f] \n", - "16 2.52 NaN [d, X, a, b, e, g, c, f] \n", - "17 2.60 NaN [d, X, e, b, a, c, g, f] \n", - "18 2.85 NaN [d, X, e, b, a, c, f, g] \n", - "19 3.02 NaN [d, e, X, b, a, f, c, g] \n", - "20 3.37 NaN [d, e, X, b, a, f, c, g] \n", - "21 3.39 NaN [e, d, b, X, a, f, c, g] \n", - "22 3.56 NaN [e, d, b, X, a, f, c, g] \n", - "23 3.59 NaN [e, d, b, X, a, f, c, g] \n", - "24 3.66 NaN [e, b, d, X, a, f, c, g] \n", - "25 3.93 NaN [e, b, f, a, X, d, c, g] \n", - "26 4.29 NaN [e, f, b, a, X, c, d, g] \n", - "27 4.47 NaN [e, f, b, a, X, c, d, g] \n", - "28 4.50 NaN [e, f, b, a, X, c, d, g] \n", - "29 4.55 NaN [e, f, b, a, c, X, d, g] \n", - "30 4.59 NaN [e, f, b, a, c, X, d, g] \n", - "31 4.72 NaN [f, e, b, a, c, X, d, g] \n", - "32 4.87 NaN [f, e, b, c, a, X, g, d] \n", - "33 5.31 NaN [f, e, c, b, a, g, X, d] \n", - "34 5.41 NaN [f, c, e, b, g, a, X, d] \n", - "35 5.47 NaN [f, c, g, e, b, a, X, d] \n", - "36 5.82 NaN [g, f, c, a, b, e, X, d] \n", - "37 6.26 NaN [g, f, c, a, b, e, X, d] \n", - "\n", - " vertex_pair(s) \n", - "0 [(c, f), (X, e)] \n", - "1 [(d, e)] \n", - "2 [(b, f)] \n", - "3 [(b, f)] \n", - "4 [(e, f)] \n", - "5 [(d, g)] \n", - "6 [(b, X)] \n", - "7 [(c, e)] \n", - "8 [(a, c)] \n", - "9 [(X, g)] \n", - "10 [(b, c)] \n", - "11 [(e, f)] \n", - "12 [(a, g)] \n", - "13 [(b, g)] \n", - "14 [(e, g)] \n", - "15 [(d, g)] \n", - "16 [(b, d)] \n", - "17 [(c, g)] \n", - "18 [(f, g)] \n", - "19 [(a, c)] \n", - "20 [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] \n", - "21 [(b, X)] \n", - "22 [(X, g)] \n", - "23 [(c, f), (X, e)] \n", - "24 [(b, d)] \n", - "25 [(b, c)] \n", - "26 [(c, d)] \n", - "27 [(a, g)] \n", - "28 [(c, d)] \n", - "29 [(c, X)] \n", - "30 [(d, e)] \n", - "31 [(b, g)] \n", - "32 [(e, g)] \n", - "33 [(c, X)] \n", - "34 [(c, e)] \n", - "35 [(c, g)] \n", - "36 [(a, b), (a, e), (b, e)] \n", - "37 [(f, g)] " + " Angle Swapped Verts Sorted list\n", + "0 0.00 [(c, f), (X, e)] gcfabXed\n", + "1 0.25 [(b, X)] gcfaXbed\n", + "2 0.32 [(d, e)] gcfaXbed\n", + "3 0.52 [(b, d)] gcfaXdbe\n", + "4 0.79 [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] gcdXafbe\n", + "5 1.15 [(c, d)] gcdXafbe\n", + "6 1.19 [(b, f)] gdcXafbe\n", + "7 1.41 [(c, X)] gdXcabfe\n", + "8 1.57 [(e, f)] gdXcabfe\n", + "9 1.65 [(d, g)] gdXcabef\n", + "10 1.82 [(a, c)] dgXacbef\n", + "11 1.99 [(X, g)] dXgacbef\n", + "12 2.11 [(b, c)] dXgacbef\n", + "13 2.27 [(c, e)] dXgabecf\n", + "14 2.28 [(a, g)] dXagbecf\n", + "15 2.36 [(b, g)] dXabgecf\n", + "16 2.41 [(e, g)] dXabegcf\n", + "17 2.60 [(c, g)] dXabegcf\n", + "18 2.68 [(a, b), (a, e), (b, e)] dXebacgf\n", + "19 2.85 [(f, g)] dXebacgf\n", + "20 3.14 [(c, f), (X, e)] dXebacfg\n", + "21 3.39 [(b, X)] debXafcg\n", + "22 3.46 [(d, e)] debXafcg\n", + "23 3.66 [(b, d)] edbXafcg\n", + "24 3.93 [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] ebfaXdcg\n", + "25 4.29 [(c, d)] ebfaXdcg\n", + "26 4.33 [(b, f)] ebfaXcdg\n", + "27 4.55 [(c, X)] efbacXdg\n", + "28 4.71 [(e, f)] efbacXdg\n", + "29 4.79 [(d, g)] febacXdg\n", + "30 4.96 [(a, c)] febcaXgd\n", + "31 5.13 [(X, g)] febcaXgd\n", + "32 5.25 [(b, c)] febcagXd\n", + "33 5.41 [(c, e)] fcebagXd\n", + "34 5.42 [(a, g)] fcebagXd\n", + "35 5.50 [(b, g)] fcegbaXd\n", + "36 5.55 [(e, g)] fcegbaXd\n", + "37 5.74 [(c, g)] fcgebaXd\n", + "38 5.82 [(a, b), (a, e), (b, e)] fgcabeXd\n", + "39 5.99 [(f, g)] fgcabeXd" ] }, - "execution_count": 10, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "pd_table = pd.DataFrame(columns=['angle', 'vertex_pair(s)_swapped', 'sorted_order_at_next_midpoint'])\n", - "pd_table['angle'] = keys\n", - "pd_table['vertex_pair(s)'] = [All_Angles_2pi[key] for key in keys]\n", + "All_Angles = G.get_all_angles('dict', num_rounding_digits=2, opposites = True)\n", + "keys = list(All_Angles.keys())\n", + "keys.sort()\n", "\n", - "# sort the vertex pairs at the midpoint\n", + "pd_table = pd.DataFrame(columns = ['Angle', 'Swapped Verts', 'Sorted list'])\n", + "pd_table['Angle'] = keys\n", + "pd_table['Swapped Verts'] = [All_Angles[key] for key in keys]\n", "\n", - "for i in range(len(keys)-1):\n", - " angle = np.average([keys[i], keys[i+1]])\n", - " sorted_order = G.sort_vertices(angle)\n", - " pd_table.at[i, 'sorted_order_at_next_midpoint'] = sorted_order\n", "\n", - "angle = np.average([keys[-1], keys[0]+2*np.pi])\n", - "sorted_order = G.sort_vertices(angle)\n", - "pd_table.at[len(keys)-1, 'sorted_order_at_next_midpoint'] = sorted_order\n", "\n", - "pd_table" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.16" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "start_angle = np.average(keys[0:2])\n", - "start_angle" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "['g', 'c', 'f', 'a', 'b', 'X', 'e', 'd']" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "G.sort_vertices(start_angle)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "5.82 : 5.82\n", - "1.82 : 1.82\n", - "3.93 : 3.93\n", - "2.28 : 2.28\n", - "2.11 : 2.11\n", - "3.39 : 3.39\n", - "3.66 : 3.66\n", - "1.19 : 1.19\n", - "2.36 : 2.36\n", - "4.55 : 4.55\n", - "4.29 : 4.29\n", - "5.41 : 5.41\n", - "0.0 : 0.0\n", - "2.6 : 2.6\n", - "1.99 : 1.99\n", - "0.32 : 0.32\n", - "1.65 : 1.65\n", - "1.57 : 1.57\n", - "2.41 : 2.41\n", - "2.85 : 2.85\n" - ] - } - ], - "source": [ - "# angle mod 2pi\n", - "for theta in All_Angles:\n", - " print(f'{theta} : {theta % (2*np.pi)}')" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "5.9917285127017195" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "M = G.get_all_angles()[0]\n", - "np.nanmin(M)\n", - "np.nanmax(M)" + "pd_table.sort_values(by='Angle', inplace=True)\n", + "pd_table['Sorted list'] = [''.join(G.sort_vertices(key)) for key in keys]\n", + "pd_table.head(100)" ] }, { diff --git a/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt b/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt index ad8b21b..19a4e29 100644 --- a/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt +++ b/docs/_sources/notebooks/Tutorial-ExactECT.ipynb.txt @@ -39,17 +39,7 @@ "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
    " ] @@ -69,7 +59,9 @@ "G.add_edge('B', 'D')\n", "G.add_edge('D', 'C')\n", "\n", - "G.plot(angle_labels_circle=True)\n" + "fig, ax = plt.subplots()\n", + "G.plot(ax = ax)\n", + "G.plot_angle_circle(ax = ax)\n" ] }, { @@ -79,17 +71,7 @@ "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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", 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    " ] @@ -104,7 +86,8 @@ "\n", "\n", "fig, ax = plt.subplots()\n", - "G.plot(ax = ax, angle_labels_circle=True)" + "G.plot(ax = ax)\n", + "G.plot_angle_circle(ax = ax)" ] }, { @@ -134,7 +117,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -143,7 +126,7 @@ }, { "data": { - "image/png": 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", + "image/png": 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    " ] @@ -154,7 +137,7 @@ ], "source": [ "# If return type is `matrix`, the function returns the matrix of angles and the labels of the angles in the order of the rows/columns in the matrix \n", - "M,Labels = G.get_all_angles(returntype='matrix')\n", + "M,Labels = G.get_all_normals_matrix()\n", "print(M)\n", "\n", "plt.matshow(M)\n", @@ -196,7 +179,7 @@ } ], "source": [ - "angles_dict = G.get_all_angles(returntype='dict')\n", + "angles_dict = G.get_normals_dict()\n", "angles_dict" ] }, @@ -225,16 +208,16 @@ " 2.03: [('C', 'D')],\n", " 2.9: [('C', 'E')],\n", " 3.46: [('D', 'E')],\n", - " 8.64: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", - " 8.75: [('A', 'C')],\n", - " 8.96: [('A', 'D'), ('F', 'C')],\n", - " 8.17: [('A', 'E')],\n", - " 8.84: [('B', 'C')],\n", + " 2.36: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " 2.47: [('A', 'C')],\n", + " 2.68: [('A', 'D'), ('F', 'C')],\n", + " 1.89: [('A', 'E')],\n", + " 2.56: [('B', 'C')],\n", " 3.14: [('B', 'D'), ('E', 'F')],\n", - " 7.07: [('B', 'E'), ('D', 'F')],\n", + " 0.79: [('B', 'E'), ('D', 'F')],\n", " 5.17: [('C', 'D')],\n", " 6.04: [('C', 'E')],\n", - " 6.6: [('D', 'E')]}" + " 0.32: [('D', 'E')]}" ] }, "execution_count": 6, @@ -243,9 +226,8 @@ } ], "source": [ - "G.get_all_angles(returntype='dict', \n", - " opposites = True, \n", - " num_rounding_digits=2)" + "G.get_normals_dict(opposites = True, \n", + " num_rounding_digits=2)" ] } ], diff --git a/docs/_static/css/badge_only.css b/docs/_static/css/badge_only.css index c718cee..88ba55b 100644 --- a/docs/_static/css/badge_only.css +++ b/docs/_static/css/badge_only.css @@ -1 +1 @@ -.clearfix{*zoom:1}.clearfix:after,.clearfix:before{display:table;content:""}.clearfix:after{clear:both}@font-face{font-family:FontAwesome;font-style:normal;font-weight:400;src:url(fonts/fontawesome-webfont.eot?674f50d287a8c48dc19ba404d20fe713?#iefix) format("embedded-opentype"),url(fonts/fontawesome-webfont.woff2?af7ae505a9eed503f8b8e6982036873e) 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    " ], "text/plain": [ - " angle vertex_pair(s)_swapped sorted_order_at_next_midpoint \\\n", - "0 0.00 NaN [g, c, f, a, b, X, e, d] \n", - "1 0.32 NaN [g, c, f, a, X, d, b, e] \n", - "2 1.04 NaN [g, c, d, X, a, f, b, e] \n", - "3 1.19 NaN [g, d, c, X, a, b, f, e] \n", - "4 1.57 NaN [g, d, X, c, a, b, e, f] \n", - "5 1.65 NaN [d, g, X, c, a, b, e, f] \n", - "6 1.67 NaN [d, g, X, c, a, b, e, f] \n", - "7 1.73 NaN [d, g, X, c, a, b, e, f] \n", - "8 1.82 NaN [d, g, X, a, c, b, e, f] \n", - "9 1.99 NaN [d, X, g, a, c, b, e, f] \n", - "10 2.11 NaN [d, X, g, a, b, c, e, f] \n", - "11 2.24 NaN [d, X, g, a, b, c, e, f] \n", - "12 2.28 NaN [d, X, a, g, b, e, c, f] \n", - "13 2.36 NaN [d, X, a, b, g, e, c, f] \n", - "14 2.41 NaN [d, X, a, b, e, g, c, f] \n", - "15 2.49 NaN [d, X, a, b, e, g, c, f] \n", - "16 2.52 NaN [d, X, a, b, e, g, c, f] \n", - "17 2.60 NaN [d, X, e, b, a, c, g, f] \n", - "18 2.85 NaN [d, X, e, b, a, c, f, g] \n", - "19 3.02 NaN [d, e, X, b, a, f, c, g] \n", - "20 3.37 NaN [d, e, X, b, a, f, c, g] \n", - "21 3.39 NaN [e, d, b, X, a, f, c, g] \n", - "22 3.56 NaN [e, d, b, X, a, f, c, g] \n", - "23 3.59 NaN [e, d, b, X, a, f, c, g] \n", - "24 3.66 NaN [e, b, d, X, a, f, c, g] \n", - "25 3.93 NaN [e, b, f, a, X, d, c, g] \n", - "26 4.29 NaN [e, f, b, a, X, c, d, g] \n", - "27 4.47 NaN [e, f, b, a, X, c, d, g] \n", - "28 4.50 NaN [e, f, b, a, X, c, d, g] \n", - "29 4.55 NaN [e, f, b, a, c, X, d, g] \n", - "30 4.59 NaN [e, f, b, a, c, X, d, g] \n", - "31 4.72 NaN [f, e, b, a, c, X, d, g] \n", - "32 4.87 NaN [f, e, b, c, a, X, g, d] \n", - "33 5.31 NaN [f, e, c, b, a, g, X, d] \n", - "34 5.41 NaN [f, c, e, b, g, a, X, d] \n", - "35 5.47 NaN [f, c, g, e, b, a, X, d] \n", - "36 5.82 NaN [g, f, c, a, b, e, X, d] \n", - "37 6.26 NaN [g, f, c, a, b, e, X, d] \n", - "\n", - " vertex_pair(s) \n", - "0 [(c, f), (X, e)] \n", - "1 [(d, e)] \n", - "2 [(b, f)] \n", - "3 [(b, f)] \n", - "4 [(e, f)] \n", - "5 [(d, g)] \n", - "6 [(b, X)] \n", - "7 [(c, e)] \n", - "8 [(a, c)] \n", - "9 [(X, g)] \n", - "10 [(b, c)] \n", - "11 [(e, f)] \n", - "12 [(a, g)] \n", - "13 [(b, g)] \n", - "14 [(e, g)] \n", - "15 [(d, g)] \n", - "16 [(b, d)] \n", - "17 [(c, g)] \n", - "18 [(f, g)] \n", - "19 [(a, c)] \n", - "20 [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] \n", - "21 [(b, X)] \n", - "22 [(X, g)] \n", - "23 [(c, f), (X, e)] \n", - "24 [(b, d)] \n", - "25 [(b, c)] \n", - "26 [(c, d)] \n", - "27 [(a, g)] \n", - "28 [(c, d)] \n", - "29 [(c, X)] \n", - "30 [(d, e)] \n", - "31 [(b, g)] \n", - "32 [(e, g)] \n", - "33 [(c, X)] \n", - "34 [(c, e)] \n", - "35 [(c, g)] \n", - "36 [(a, b), (a, e), (b, e)] \n", - "37 [(f, g)] " + " Angle Swapped Verts Sorted list\n", + "0 0.00 [(c, f), (X, e)] gcfabXed\n", + "1 0.25 [(b, X)] gcfaXbed\n", + "2 0.32 [(d, e)] gcfaXbed\n", + "3 0.52 [(b, d)] gcfaXdbe\n", + "4 0.79 [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] gcdXafbe\n", + "5 1.15 [(c, d)] gcdXafbe\n", + "6 1.19 [(b, f)] gdcXafbe\n", + "7 1.41 [(c, X)] gdXcabfe\n", + "8 1.57 [(e, f)] gdXcabfe\n", + "9 1.65 [(d, g)] gdXcabef\n", + "10 1.82 [(a, c)] dgXacbef\n", + "11 1.99 [(X, g)] dXgacbef\n", + "12 2.11 [(b, c)] dXgacbef\n", + "13 2.27 [(c, e)] dXgabecf\n", + "14 2.28 [(a, g)] dXagbecf\n", + "15 2.36 [(b, g)] dXabgecf\n", + "16 2.41 [(e, g)] dXabegcf\n", + "17 2.60 [(c, g)] dXabegcf\n", + "18 2.68 [(a, b), (a, e), (b, e)] dXebacgf\n", + "19 2.85 [(f, g)] dXebacgf\n", + "20 3.14 [(c, f), (X, e)] dXebacfg\n", + "21 3.39 [(b, X)] debXafcg\n", + "22 3.46 [(d, e)] debXafcg\n", + "23 3.66 [(b, d)] edbXafcg\n", + "24 3.93 [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] ebfaXdcg\n", + "25 4.29 [(c, d)] ebfaXdcg\n", + "26 4.33 [(b, f)] ebfaXcdg\n", + "27 4.55 [(c, X)] efbacXdg\n", + "28 4.71 [(e, f)] efbacXdg\n", + "29 4.79 [(d, g)] febacXdg\n", + "30 4.96 [(a, c)] febcaXgd\n", + "31 5.13 [(X, g)] febcaXgd\n", + "32 5.25 [(b, c)] febcagXd\n", + "33 5.41 [(c, e)] fcebagXd\n", + "34 5.42 [(a, g)] fcebagXd\n", + "35 5.50 [(b, g)] fcegbaXd\n", + "36 5.55 [(e, g)] fcegbaXd\n", + "37 5.74 [(c, g)] fcgebaXd\n", + "38 5.82 [(a, b), (a, e), (b, e)] fgcabeXd\n", + "39 5.99 [(f, g)] fgcabeXd" ] }, - "execution_count": 10, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "pd_table = pd.DataFrame(columns=['angle', 'vertex_pair(s)_swapped', 'sorted_order_at_next_midpoint'])\n", - "pd_table['angle'] = keys\n", - "pd_table['vertex_pair(s)'] = [All_Angles_2pi[key] for key in keys]\n", + "All_Angles = G.get_all_angles('dict', num_rounding_digits=2, opposites = True)\n", + "keys = list(All_Angles.keys())\n", + "keys.sort()\n", "\n", - "# sort the vertex pairs at the midpoint\n", + "pd_table = pd.DataFrame(columns = ['Angle', 'Swapped Verts', 'Sorted list'])\n", + "pd_table['Angle'] = keys\n", + "pd_table['Swapped Verts'] = [All_Angles[key] for key in keys]\n", "\n", - "for i in range(len(keys)-1):\n", - " angle = np.average([keys[i], keys[i+1]])\n", - " sorted_order = G.sort_vertices(angle)\n", - " pd_table.at[i, 'sorted_order_at_next_midpoint'] = sorted_order\n", "\n", - "angle = np.average([keys[-1], keys[0]+2*np.pi])\n", - "sorted_order = G.sort_vertices(angle)\n", - "pd_table.at[len(keys)-1, 'sorted_order_at_next_midpoint'] = sorted_order\n", "\n", - "pd_table" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.16" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "start_angle = np.average(keys[0:2])\n", - "start_angle" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "['g', 'c', 'f', 'a', 'b', 'X', 'e', 'd']" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "G.sort_vertices(start_angle)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "5.82 : 5.82\n", - "1.82 : 1.82\n", - "3.93 : 3.93\n", - "2.28 : 2.28\n", - "2.11 : 2.11\n", - "3.39 : 3.39\n", - "3.66 : 3.66\n", - "1.19 : 1.19\n", - "2.36 : 2.36\n", - "4.55 : 4.55\n", - "4.29 : 4.29\n", - "5.41 : 5.41\n", - "0.0 : 0.0\n", - "2.6 : 2.6\n", - "1.99 : 1.99\n", - "0.32 : 0.32\n", - "1.65 : 1.65\n", - "1.57 : 1.57\n", - "2.41 : 2.41\n", - "2.85 : 2.85\n" - ] - } - ], - "source": [ - "# angle mod 2pi\n", - "for theta in All_Angles:\n", - " print(f'{theta} : {theta % (2*np.pi)}')" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "5.9917285127017195" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "M = G.get_all_angles()[0]\n", - "np.nanmin(M)\n", - "np.nanmax(M)" + "pd_table.sort_values(by='Angle', inplace=True)\n", + "pd_table['Sorted list'] = [''.join(G.sort_vertices(key)) for key in keys]\n", + "pd_table.head(100)" ] }, { diff --git a/docs/doctrees/nbsphinx/notebooks/Tutorial-ExactECT.ipynb b/docs/doctrees/nbsphinx/notebooks/Tutorial-ExactECT.ipynb index ad8b21b..19a4e29 100644 --- a/docs/doctrees/nbsphinx/notebooks/Tutorial-ExactECT.ipynb +++ b/docs/doctrees/nbsphinx/notebooks/Tutorial-ExactECT.ipynb @@ -39,17 +39,7 @@ "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
    " ] @@ -69,7 +59,9 @@ "G.add_edge('B', 'D')\n", "G.add_edge('D', 'C')\n", "\n", - "G.plot(angle_labels_circle=True)\n" + "fig, ax = plt.subplots()\n", + "G.plot(ax = ax)\n", + "G.plot_angle_circle(ax = ax)\n" ] }, { @@ -79,17 +71,7 @@ "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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", 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    " ] @@ -104,7 +86,8 @@ "\n", "\n", "fig, ax = plt.subplots()\n", - "G.plot(ax = ax, angle_labels_circle=True)" + "G.plot(ax = ax)\n", + "G.plot_angle_circle(ax = ax)" ] }, { @@ -134,7 +117,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -143,7 +126,7 @@ }, { "data": { - "image/png": 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", + "image/png": 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    " ] @@ -154,7 +137,7 @@ ], "source": [ "# If return type is `matrix`, the function returns the matrix of angles and the labels of the angles in the order of the rows/columns in the matrix \n", - "M,Labels = G.get_all_angles(returntype='matrix')\n", + "M,Labels = G.get_all_normals_matrix()\n", "print(M)\n", "\n", "plt.matshow(M)\n", @@ -196,7 +179,7 @@ } ], "source": [ - "angles_dict = G.get_all_angles(returntype='dict')\n", + "angles_dict = G.get_normals_dict()\n", "angles_dict" ] }, @@ -225,16 +208,16 @@ " 2.03: [('C', 'D')],\n", " 2.9: [('C', 'E')],\n", " 3.46: [('D', 'E')],\n", - " 8.64: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", - " 8.75: [('A', 'C')],\n", - " 8.96: [('A', 'D'), ('F', 'C')],\n", - " 8.17: [('A', 'E')],\n", - " 8.84: [('B', 'C')],\n", + " 2.36: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " 2.47: [('A', 'C')],\n", + " 2.68: [('A', 'D'), ('F', 'C')],\n", + " 1.89: [('A', 'E')],\n", + " 2.56: [('B', 'C')],\n", " 3.14: [('B', 'D'), ('E', 'F')],\n", - " 7.07: [('B', 'E'), ('D', 'F')],\n", + " 0.79: [('B', 'E'), ('D', 'F')],\n", " 5.17: [('C', 'D')],\n", " 6.04: [('C', 'E')],\n", - " 6.6: [('D', 'E')]}" + " 0.32: [('D', 'E')]}" ] }, "execution_count": 6, @@ -243,9 +226,8 @@ } ], "source": [ - "G.get_all_angles(returntype='dict', \n", - " opposites = True, \n", - " num_rounding_digits=2)" + "G.get_normals_dict(opposites = True, \n", + " num_rounding_digits=2)" ] } ], diff --git a/docs/doctrees/nbsphinx/notebooks_Playing_with_Spirals_10_0.png b/docs/doctrees/nbsphinx/notebooks_Playing_with_Spirals_11_0.png similarity index 100% rename from docs/doctrees/nbsphinx/notebooks_Playing_with_Spirals_10_0.png rename to docs/doctrees/nbsphinx/notebooks_Playing_with_Spirals_11_0.png diff --git a/docs/doctrees/nbsphinx/notebooks_Playing_with_Spirals_11_1.png b/docs/doctrees/nbsphinx/notebooks_Playing_with_Spirals_12_1.png similarity index 100% rename from docs/doctrees/nbsphinx/notebooks_Playing_with_Spirals_11_1.png rename to 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z5Vv9Wd=ko@HQ=t-_d5Kxr}3amRL%T@nx=d>-IP@ozQX>K7Zp0fGNg=-&|7=X9ivj&#TmX^@310vJ diff --git a/docs/ect_on_graphs.html b/docs/ect_on_graphs.html index 2e89088..248c8ff 100644 --- a/docs/ect_on_graphs.html +++ b/docs/ect_on_graphs.html @@ -1,3 +1,5 @@ + + @@ -5,24 +7,20 @@ 2.3. ECT on Graphs — ect 0.1.5 documentation - - + + - - - - - - - - - - + + + + + + + + diff --git a/docs/embed_cw.html b/docs/embed_cw.html index 075276c..65ffaca 100644 --- a/docs/embed_cw.html +++ b/docs/embed_cw.html @@ -1,3 +1,5 @@ + + @@ -5,24 +7,20 @@ 2.2. Embedded CW complex — ect 0.1.5 documentation - - + + - - - - - - - - - - + + + + + + + + diff --git a/docs/embed_graph.html b/docs/embed_graph.html index 1f3d1d1..467ec70 100644 --- a/docs/embed_graph.html +++ b/docs/embed_graph.html @@ -1,3 +1,5 @@ + + @@ -5,24 +7,20 @@ 2.1. Embedded graphs — ect 0.1.5 documentation - - + + - - - - - - - - - - + + + + + + + + @@ -156,7 +154,7 @@

    add_node(vertex, x, y)[source]

    Add a vertex to the graph. -If the vertex name is given as None, it will be assigned via the next_vert_name method.

    +If the vertex name is given as None, it will be assigned via the next_vert_name method.

    Parameters:
      @@ -188,7 +186,7 @@ next_vert_name(s, num_verts=1)[source]

      Making a simple name generator for vertices. If you’re using integers, it will just up the count by one. -Letters will be incremented in the alphabet. If you reach ‘Z’, it will return ‘AA’. If you reach ‘ZZ’, it will return ‘AAA’, etc.

      +Letters will be incremented in the alphabet. If you reach Z, it will return AA. If you reach ZZ, it will return AAA, etc.

      Parameters:

      s (str or int) – The name of the vertex to increment.

      @@ -271,7 +269,7 @@

      Method to find a bounding box of the vertex coordinates in the graph.

      Returns:
      -

      A list of tuples representing the minimum and maximum x and y coordinates.

      +

      A list of tuples representing the minimum and maximum \(x\) and \(y\) coordinates.

      Return type:

      list

      @@ -282,13 +280,13 @@
      get_center(type='origin')[source]
      -

      Calculate and return the center of the graph. This can be done by either returning the average of the coordiantes (mean), the center of the bounding box (min_max), or the origin (origin).

      +

      Calculate and return the center of the graph. This can be done by either returning the average of the coordiantes (mean), the center of the bounding box (min_max), or the origin (origin).

      Parameters:
      -

      type (str) – The type of center to calculate. Options are ‘mean’, ‘min_max’, or ‘origin’.

      +

      type (str) – The type of center to calculate. Options are mean, min_max, or origin.

      Returns:
      -

      The (x, y) coordinates of the center.

      +

      The \((x, y)\) coordinates of the center.

      Return type:

      numpy.ndarray

      @@ -302,7 +300,7 @@

      Method to find the radius of the bounding circle of the vertex coordinates in the graph.

      Parameters:
      -

      type (str) – The type of center to calculate the radius relative to. Options are ‘mean’, ‘min_max’, or ‘origin’.

      +

      type (str) – The type of center to calculate the radius relative to. Options are mean, min_max, or origin.

      Returns:

      The radius of the bounding circle.

      @@ -317,8 +315,8 @@
      get_centered_coordinates(type='min_max')[source]

      Method to find the centered coordinates of the vertices in the graph.

      -

      If type is ‘min_max’, the coordinates are centered at the mean of the min and max values of the x and y coordinates. -If type is ‘mean’, the coordinates are centered at the mean of the x and y coordinates.

      +

      If type is min_max, the coordinates are centered at the mean of the min and max values of the \(x\) and \(y\) coordinates. +If type is mean, the coordinates are centered at the mean of the \(x\) and \(y\) coordinates.

      @@ -330,7 +328,7 @@
      get_scaled_coordinates(radius=1)[source]
      -

      Method to find the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by radius.

      +

      Method to find the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by radius.

      Parameters:

      radius (float) – The radius of the bounding disk.

      @@ -347,7 +345,28 @@
      set_scaled_coordinates(radius=1)[source]
      -

      Method to set the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by radius. Warning: This overwrites the original coordinates

      +

      Method to set the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by radius. Warning: This overwrites the original coordinates

      +
      + +
      +
      +rescale_to_unit_disk(preserve_center=True, center_type='origin')[source]
      +

      Rescales the graph coordinates to fit within a radius 1 disk.

      +
      +
      Parameters:
      +

      preserve_center (bool) – If True, maintains the current center point of type center_type. +If False, centers the graph at (0, 0).

      +
      +
      Returns:
      +

      Returns the instance for method chaining.

      +
      +
      Return type:
      +

      self

      +
      +
      Raises:
      +

      ValueError – If the graph has no coordinates or all coordinates are identical.

      +
      +
      @@ -368,9 +387,9 @@
      set_PCA_coordinates(center_type=None, scale_radius=None)[source]

      Method to set the PCA coordinates of the vertices in the graph which is helpful for coarse alignment. -If you also want to center at zero, the options for center_type are mean or min_max. -Set scale_radius to a value to scale to a specific radius. -Warning: This overwrites the original coordinates

      +If you also want to center at zero, the options for center_type are mean or min_max. +Set scale_radius to a value to scale to a specific radius. +Warning: This overwrites the original coordinates.

      @@ -455,7 +474,7 @@
      lower_edges(v, omega)[source]
      -

      Function to compute the number of lower edges of a vertex v for a specific direction (included by the use of sorted v_list).

      +

      Function to compute the number of lower edges of a vertex v for a specific direction (included by the use of sorted v_list).

      Parameters:
        @@ -473,57 +492,68 @@
      -
      -get_all_angles(returntype='matrix', num_rounding_digits=None, edges_only=False, opposites=False)[source]
      -

      Function to get all angles of normals to any line between veritces in the graph. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order.

      +
      +get_all_normals_matrix(num_rounding_digits=None)[source]
      +

      Function to get all angles of normals to any line between vertices in the graph, returned as a matrix. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order.

      +
      +
      Parameters:
      +

      num_rounding_digits (int) – The number of digits to round the angles in the matrix. If None, no rounding is done.

      +
      +
      Returns:
      +

      A tuple consissting of a matrix of angles, and the sorted label list for the rows/columns.

      +
      +
      +
      + +
      +
      +get_normals_dict(num_rounding_digits=None, edges_only=False, opposites=False)[source]
      +

      Function to get all angles of normals to any line between vertices in the graph, returned as a dictionary of angles with dict[theta] returning the list of pairs of vertices with vector normal to \(\overrightarrow{AB}\) at angle theta. Note this includes both adjacent vertices and non-adjacent unless edges_only is set to True. This function is useful for knowing the angle of the circle where two vertices switch in order, especially when we want to sort the events around the circle. All angles are rounded to the number of digits given by num_rounding_digits, and are returned in the range \([0, 2\pi]\) .

      Parameters:
        -
      • returntype (str) – The return type of the angles. Options are ‘matrix’ or ‘dict’. If ‘matrix’, returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If ‘dict’, returns a dictionary of angles with dict[‘A’,’B’] returning the angle normal to the vector \(\overrightarrow{AB}\).

      • -
      • rounding_digits (int) – The number of digits to round the angles in either the matrix or the keys of the dictionary.

      • +
      • num_rounding_digits (int) – The number of digits to round the angles in the dictionary. If None, no rounding is done.

      • edges_only (bool) – If True, the dictionary version only returns the angle of the normals to the lines between vertices sharing an edge. The matrix version is unchanged.

      • -
      • opposites (bool) – If True, will also include the opposite angle in the dictionary.

      • +
      • opposites (bool) – If True, will also include both \(\theta\) and \(\theta + \pi\) in the dictionary keys.

      Returns:
      -

      A list of angles of the vertices in the graph.

      +

      A dictionary of angles with dict[theta] returning the list of pairs of vertices with vector normal to \(\overrightarrow\{AB\}\) at angle theta, e.g. dict[theta] = [('A','B'), ('C', 'D')].

      Return type:
      -

      list

      +

      dict

      -plot(bounding_circle=False, bounding_center_type='origin', color_nodes_theta=None, ax=None, with_labels=True, angle_labels_circle=False, edges_only=False, **kwargs)[source]
      +plot(bounding_circle=False, color_nodes_theta=None, ax=None, with_labels=True, **kwargs)[source]

      Function to plot the graph with the embedded coordinates.

      -

      If bounding_circle is True, a bounding circle is drawn around the graph. This is centered at the center type defined by bounding_center_type.

      -

      If color_nodes_theta is not None, it should be given as a theta in \([0,2\pi]\). Then the nodes are colored according to the \(g(v)\) values in the direction of theta.

      -

      If with_labels is True, the nodes are labeled with their names.

      +

      If bounding_circle is True, a bounding circle is drawn around the graph.

      +

      If color_nodes_theta is not None, it should be given as a \(theta\) in \([0,2\pi]\). Then the nodes are colored according to the \(g(v)\) values in the direction of \(\theta\).

      +

      If with_labels is True, the nodes are labeled with their names.

      +

      If ax is not None, the plot is drawn on the given axis.

      +
      + +
      +
      +plot_bounding_circle(ax=None, bounding_center_type='origin', **kwargs)[source]
      +

      Function to plot the bounding circle of the graph.

      If ax is not None, the plot is drawn on the given axis.

      -

      If angle_labels_circle is True, the angles of the normals to the lines between vertices are plotted on a slightly larger circle circle around the graph. If additionally, edges_only is True, only hash marks for pairs of vertices sharing an edge are plotted.

      +

      If bounding_center_type is ‘origin’, the bounding circle is centered at the origin. If it is min_max, the bounding circle is centered at the mean of the min and max values of the \(x\) and :math`y` coordinates.

      -
      -rescale_to_unit_disk(preserve_center=True, center_type='origin')[source]
      -

      Rescales the graph coordinates to fit within a radius 1 disk.

      -
      -
      Parameters:
      -

      preserve_center (bool) – If True, maintains the current center point of type center_type. -If False, centers the graph at (0, 0).

      -
      -
      Returns:
      -

      Returns the instance for method chaining.

      -
      -
      Return type:
      -

      self

      -
      -
      Raises:
      -

      ValueError – If the graph has no coordinates or all coordinates are identical.

      -
      -
      +
      +plot_angle_circle(ax=None, edges_only=False)[source]
      +

      Function to plot the circle of angles for the graph.

      +

      Example Usage:

      +
      fig, ax = plt.subplots()
      +G.plot(ax = ax)
      +G.plot_angle_circle(ax = ax)
      +
      +
      diff --git a/docs/genindex.html b/docs/genindex.html index 43a40cd..2daba50 100644 --- a/docs/genindex.html +++ b/docs/genindex.html @@ -1,25 +1,23 @@ + + Index — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + @@ -237,7 +235,7 @@

      G

    • g_omega_faces() (ect.embed_cw.EmbeddedCW method)
    • -
    • get_all_angles() (ect.embed_graph.EmbeddedGraph method) +
    • get_all_normals_matrix() (ect.embed_graph.EmbeddedGraph method)
    • get_bounding_box() (ect.embed_graph.EmbeddedGraph method)
    • @@ -252,6 +250,8 @@

      G

    • get_coordinates() (ect.embed_graph.EmbeddedGraph method)
    • get_ECT() (ect.ect_graph.ECT method) +
    • +
    • get_normals_dict() (ect.embed_graph.EmbeddedGraph method)
    • get_PCA_coordinates() (ect.embed_graph.EmbeddedGraph method)
    • @@ -308,8 +308,12 @@

      P

    • (ect.embed_graph.EmbeddedGraph method)
    +
  66. plot_angle_circle() (ect.embed_graph.EmbeddedGraph method) +
    • +
    • plot_bounding_circle() (ect.embed_graph.EmbeddedGraph method) +
    • plot_faces() (ect.embed_cw.EmbeddedCW method)
    • plotECC() (ect.ect_graph.ECT method) diff --git a/docs/index.html b/docs/index.html index bc9e32c..887eb2e 100644 --- a/docs/index.html +++ b/docs/index.html @@ -1,3 +1,5 @@ + + @@ -5,24 +7,20 @@ ect: Euler Characteristic Transform in Python — ect 0.1.5 documentation - - + + - - - - - - - - - - + + + + + + + + diff --git a/docs/installation.html b/docs/installation.html index ce5760d..8d5c26a 100644 --- a/docs/installation.html +++ b/docs/installation.html @@ -1,3 +1,5 @@ + + @@ -5,22 +7,18 @@ 1. Installation — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + diff --git a/docs/license.html b/docs/license.html index a51558c..dbc9aff 100644 --- a/docs/license.html +++ b/docs/license.html @@ -1,3 +1,5 @@ + + @@ -5,22 +7,18 @@ 5. GPL-3.0 License — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + diff --git a/docs/modules.html b/docs/modules.html index 022871d..a972e8d 100644 --- a/docs/modules.html +++ b/docs/modules.html @@ -1,3 +1,5 @@ + + @@ -5,24 +7,20 @@ 2. Table of Contents — ect 0.1.5 documentation - - + + - - - - - - - - - - + + + + + + + + diff --git a/docs/notebooks/CodingFiguresFern.html b/docs/notebooks/CodingFiguresFern.html index 492b269..5d851bb 100644 --- a/docs/notebooks/CodingFiguresFern.html +++ b/docs/notebooks/CodingFiguresFern.html @@ -1,3 +1,5 @@ + + @@ -5,25 +7,21 @@ Figure generation for Invitation to the ECT — ect 0.1.5 documentation - - + + - + - - - - - - - - - - + + + + + + + + diff --git a/docs/notebooks/Matisse/Matisse_ECT.html b/docs/notebooks/Matisse/Matisse_ECT.html index 4c1b6fe..5d1465c 100644 --- a/docs/notebooks/Matisse/Matisse_ECT.html +++ b/docs/notebooks/Matisse/Matisse_ECT.html @@ -1,3 +1,5 @@ + + @@ -5,25 +7,21 @@ 3.3. ECT on Matisse’s “The Parakeet and the Mermaid” — ect 0.1.5 documentation - - + + - + - - - - - - - - - - + + + + + + + + diff --git a/docs/notebooks/Playing_with_Spirals.html b/docs/notebooks/Playing_with_Spirals.html index 879ebb0..a11daff 100644 --- a/docs/notebooks/Playing_with_Spirals.html +++ b/docs/notebooks/Playing_with_Spirals.html @@ -1,29 +1,27 @@ + + - <no title> — ect 0.1.5 documentation - - + Modified version breaking the spiral — ect 0.1.5 documentation + + - + - - - - - - - - - - + + + + + + + + @@ -119,7 +117,7 @@
      • - +
      • View page source
      • @@ -784,8 +782,10 @@ ['a', 'b', 'c', 'd', 'e', 'f', 'g']

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    +
    +

    Modified version breaking the spiral

    -
    [7]:
    +
    [11]:
     
    # Modified version with vertex added between C and D
    @@ -816,7 +816,7 @@
     
    -../_images/notebooks_Playing_with_Spirals_10_0.png +../_images/notebooks_Playing_with_Spirals_11_0.png
    @@ -834,70 +834,38 @@
    -<matplotlib.colorbar.Colorbar at 0x3186a63d0>
    +<matplotlib.colorbar.Colorbar at 0x30be90c90>
     
    -../_images/notebooks_Playing_with_Spirals_11_1.png +../_images/notebooks_Playing_with_Spirals_12_1.png
    [9]:
     
    -
    All_Angles = G.get_all_angles('dict', num_rounding_digits=2)
    -
    -# add pi + angle for all angles
    -All_Angles_2pi = {}
    -for key in All_Angles.keys():
    -    All_Angles_2pi[round(key,2)] = All_Angles[key]
    -    other_key = (key + np.pi) % 2*np.pi
    -    other_key = round(other_key, 2)
    -    All_Angles_2pi[other_key] = All_Angles[key]
    -
    -keys = list(All_Angles_2pi.keys())
    +
    All_Angles = G.get_all_angles('dict', num_rounding_digits=2, opposites = True)
    +keys = list(All_Angles.keys())
     keys.sort()
    -keys[:10]
    -
    -
    -
    -
    -
    [9]:
    -
    -
    -
    -
    -[0.0, 0.32, 1.04, 1.19, 1.57, 1.65, 1.67, 1.73, 1.82, 1.99]
    -
    -
    -
    -
    [10]:
    -
    -
    -
    pd_table = pd.DataFrame(columns=['angle', 'vertex_pair(s)_swapped', 'sorted_order_at_next_midpoint'])
    -pd_table['angle'] = keys
    -pd_table['vertex_pair(s)'] = [All_Angles_2pi[key] for key in keys]
     
    -# sort the vertex pairs at the midpoint
    +pd_table = pd.DataFrame(columns = ['Angle', 'Swapped Verts', 'Sorted list'])
    +pd_table['Angle'] = keys
    +pd_table['Swapped Verts'] = [All_Angles[key] for key in keys]
     
    -for i in range(len(keys)-1):
    -    angle = np.average([keys[i], keys[i+1]])
    -    sorted_order = G.sort_vertices(angle)
    -    pd_table.at[i, 'sorted_order_at_next_midpoint'] = sorted_order
     
    -angle = np.average([keys[-1], keys[0]+2*np.pi])
    -sorted_order = G.sort_vertices(angle)
    -pd_table.at[len(keys)-1, 'sorted_order_at_next_midpoint'] = sorted_order
     
    -pd_table
    +pd_table.sort_values(by='Angle', inplace=True)
    +pd_table['Sorted list'] = [''.join(G.sort_vertices(key)) for key in keys]
    +pd_table.head(100)
     
    -
    [10]:
    +
    [9]:
     
    @@ -919,374 +887,256 @@ - angle - vertex_pair(s)_swapped - sorted_order_at_next_midpoint - vertex_pair(s) + Angle + Swapped Verts + Sorted list 0 0.00 - NaN - [g, c, f, a, b, X, e, d] [(c, f), (X, e)] + gcfabXed 1 - 0.32 - NaN - [g, c, f, a, X, d, b, e] - [(d, e)] + 0.25 + [(b, X)] + gcfaXbed 2 - 1.04 - NaN - [g, c, d, X, a, f, b, e] - [(b, f)] + 0.32 + [(d, e)] + gcfaXbed 3 - 1.19 - NaN - [g, d, c, X, a, b, f, e] - [(b, f)] + 0.52 + [(b, d)] + gcfaXdbe 4 - 1.57 - NaN - [g, d, X, c, a, b, e, f] - [(e, f)] + 0.79 + [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] + gcdXafbe 5 - 1.65 - NaN - [d, g, X, c, a, b, e, f] - [(d, g)] + 1.15 + [(c, d)] + gcdXafbe 6 - 1.67 - NaN - [d, g, X, c, a, b, e, f] - [(b, X)] + 1.19 + [(b, f)] + gdcXafbe 7 - 1.73 - NaN - [d, g, X, c, a, b, e, f] - [(c, e)] + 1.41 + [(c, X)] + gdXcabfe 8 - 1.82 - NaN - [d, g, X, a, c, b, e, f] - [(a, c)] + 1.57 + [(e, f)] + gdXcabfe 9 - 1.99 - NaN - [d, X, g, a, c, b, e, f] - [(X, g)] + 1.65 + [(d, g)] + gdXcabef 10 - 2.11 - NaN - [d, X, g, a, b, c, e, f] - [(b, c)] + 1.82 + [(a, c)] + dgXacbef 11 - 2.24 - NaN - [d, X, g, a, b, c, e, f] - [(e, f)] + 1.99 + [(X, g)] + dXgacbef 12 - 2.28 - NaN - [d, X, a, g, b, e, c, f] - [(a, g)] + 2.11 + [(b, c)] + dXgacbef 13 - 2.36 - NaN - [d, X, a, b, g, e, c, f] - [(b, g)] + 2.27 + [(c, e)] + dXgabecf 14 - 2.41 - NaN - [d, X, a, b, e, g, c, f] - [(e, g)] + 2.28 + [(a, g)] + dXagbecf 15 - 2.49 - NaN - [d, X, a, b, e, g, c, f] - [(d, g)] + 2.36 + [(b, g)] + dXabgecf 16 - 2.52 - NaN - [d, X, a, b, e, g, c, f] - [(b, d)] + 2.41 + [(e, g)] + dXabegcf 17 2.60 - NaN - [d, X, e, b, a, c, g, f] [(c, g)] + dXabegcf 18 - 2.85 - NaN - [d, X, e, b, a, c, f, g] - [(f, g)] + 2.68 + [(a, b), (a, e), (b, e)] + dXebacgf 19 - 3.02 - NaN - [d, e, X, b, a, f, c, g] - [(a, c)] + 2.85 + [(f, g)] + dXebacgf 20 - 3.37 - NaN - [d, e, X, b, a, f, c, g] - [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] + 3.14 + [(c, f), (X, e)] + dXebacfg 21 3.39 - NaN - [e, d, b, X, a, f, c, g] [(b, X)] + debXafcg 22 - 3.56 - NaN - [e, d, b, X, a, f, c, g] - [(X, g)] + 3.46 + [(d, e)] + debXafcg 23 - 3.59 - NaN - [e, d, b, X, a, f, c, g] - [(c, f), (X, e)] - - - 24 3.66 - NaN - [e, b, d, X, a, f, c, g] [(b, d)] + edbXafcg - 25 + 24 3.93 - NaN - [e, b, f, a, X, d, c, g] - [(b, c)] + [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] + ebfaXdcg - 26 + 25 4.29 - NaN - [e, f, b, a, X, c, d, g] [(c, d)] + ebfaXdcg + + + 26 + 4.33 + [(b, f)] + ebfaXcdg 27 - 4.47 - NaN - [e, f, b, a, X, c, d, g] - [(a, g)] + 4.55 + [(c, X)] + efbacXdg 28 - 4.50 - NaN - [e, f, b, a, X, c, d, g] - [(c, d)] + 4.71 + [(e, f)] + efbacXdg 29 - 4.55 - NaN - [e, f, b, a, c, X, d, g] - [(c, X)] + 4.79 + [(d, g)] + febacXdg 30 - 4.59 - NaN - [e, f, b, a, c, X, d, g] - [(d, e)] + 4.96 + [(a, c)] + febcaXgd 31 - 4.72 - NaN - [f, e, b, a, c, X, d, g] - [(b, g)] + 5.13 + [(X, g)] + febcaXgd 32 - 4.87 - NaN - [f, e, b, c, a, X, g, d] - [(e, g)] + 5.25 + [(b, c)] + febcagXd 33 - 5.31 - NaN - [f, e, c, b, a, g, X, d] - [(c, X)] + 5.41 + [(c, e)] + fcebagXd 34 - 5.41 - NaN - [f, c, e, b, g, a, X, d] - [(c, e)] + 5.42 + [(a, g)] + fcebagXd 35 - 5.47 - NaN - [f, c, g, e, b, a, X, d] - [(c, g)] + 5.50 + [(b, g)] + fcegbaXd 36 + 5.55 + [(e, g)] + fcegbaXd + + + 37 + 5.74 + [(c, g)] + fcgebaXd + + + 38 5.82 - NaN - [g, f, c, a, b, e, X, d] [(a, b), (a, e), (b, e)] + fgcabeXd - 37 - 6.26 - NaN - [g, f, c, a, b, e, X, d] + 39 + 5.99 [(f, g)] + fgcabeXd
    -
    -
    [11]:
    -
    -
    -
    start_angle = np.average(keys[0:2])
    -start_angle
    -
    -
    -
    -
    -
    [11]:
    -
    -
    -
    -
    -0.16
    -
    -
    -
    -
    [12]:
    -
    -
    -
    G.sort_vertices(start_angle)
    -
    -
    -
    -
    -
    [12]:
    -
    -
    -
    -
    -['g', 'c', 'f', 'a', 'b', 'X', 'e', 'd']
    -
    -
    -
    -
    [13]:
    -
    -
    -
    # angle mod 2pi
    -for theta in All_Angles:
    -    print(f'{theta} : {theta % (2*np.pi)}')
    -
    -
    -
    -
    -
    -
    -
    -
    -5.82 : 5.82
    -1.82 : 1.82
    -3.93 : 3.93
    -2.28 : 2.28
    -2.11 : 2.11
    -3.39 : 3.39
    -3.66 : 3.66
    -1.19 : 1.19
    -2.36 : 2.36
    -4.55 : 4.55
    -4.29 : 4.29
    -5.41 : 5.41
    -0.0 : 0.0
    -2.6 : 2.6
    -1.99 : 1.99
    -0.32 : 0.32
    -1.65 : 1.65
    -1.57 : 1.57
    -2.41 : 2.41
    -2.85 : 2.85
    -
    -
    -
    -
    [28]:
    -
    -
    -
    M = G.get_all_angles()[0]
    -np.nanmin(M)
    -np.nanmax(M)
    -
    -
    -
    -
    -
    [28]:
    -
    -
    -
    -
    -5.9917285127017195
    -
    -
    [ ]:
     
    @@ -1295,6 +1145,7 @@
    +
    diff --git a/docs/notebooks/Playing_with_Spirals.ipynb b/docs/notebooks/Playing_with_Spirals.ipynb index 2c27e84..3b1339f 100644 --- a/docs/notebooks/Playing_with_Spirals.ipynb +++ b/docs/notebooks/Playing_with_Spirals.ipynb @@ -753,9 +753,16 @@ "nodelist" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Modified version breaking the spiral" + ] + }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -801,7 +808,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 8, @@ -828,38 +835,6 @@ "cell_type": "code", "execution_count": 9, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[0.0, 0.32, 1.04, 1.19, 1.57, 1.65, 1.67, 1.73, 1.82, 1.99]" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "All_Angles = G.get_all_angles('dict', num_rounding_digits=2)\n", - "\n", - "# add pi + angle for all angles \n", - "All_Angles_2pi = {}\n", - "for key in All_Angles.keys():\n", - " All_Angles_2pi[round(key,2)] = All_Angles[key]\n", - " other_key = (key + np.pi) % 2*np.pi\n", - " other_key = round(other_key, 2)\n", - " All_Angles_2pi[other_key] = All_Angles[key]\n", - "\n", - "keys = list(All_Angles_2pi.keys())\n", - "keys.sort()\n", - "keys[:10]" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, "outputs": [ { "data": { @@ -882,488 +857,319 @@ " \n", " \n", " \n", - " angle\n", - " vertex_pair(s)_swapped\n", - " sorted_order_at_next_midpoint\n", - " vertex_pair(s)\n", + " Angle\n", + " Swapped Verts\n", + " Sorted list\n", " \n", " \n", " \n", " \n", " 0\n", " 0.00\n", - " NaN\n", - " [g, c, f, a, b, X, e, d]\n", " [(c, f), (X, e)]\n", + " gcfabXed\n", " \n", " \n", " 1\n", - " 0.32\n", - " NaN\n", - " [g, c, f, a, X, d, b, e]\n", - " [(d, e)]\n", + " 0.25\n", + " [(b, X)]\n", + " gcfaXbed\n", " \n", " \n", " 2\n", - " 1.04\n", - " NaN\n", - " [g, c, d, X, a, f, b, e]\n", - " [(b, f)]\n", + " 0.32\n", + " [(d, e)]\n", + " gcfaXbed\n", " \n", " \n", " 3\n", - " 1.19\n", - " NaN\n", - " [g, d, c, X, a, b, f, e]\n", - " [(b, f)]\n", + " 0.52\n", + " [(b, d)]\n", + " gcfaXdbe\n", " \n", " \n", " 4\n", - " 1.57\n", - " NaN\n", - " [g, d, X, c, a, b, e, f]\n", - " [(e, f)]\n", + " 0.79\n", + " [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)]\n", + " gcdXafbe\n", " \n", " \n", " 5\n", - " 1.65\n", - " NaN\n", - " [d, g, X, c, a, b, e, f]\n", - " [(d, g)]\n", + " 1.15\n", + " [(c, d)]\n", + " gcdXafbe\n", " \n", " \n", " 6\n", - " 1.67\n", - " NaN\n", - " [d, g, X, c, a, b, e, f]\n", - " [(b, X)]\n", + " 1.19\n", + " [(b, f)]\n", + " gdcXafbe\n", " \n", " \n", " 7\n", - " 1.73\n", - " NaN\n", - " [d, g, X, c, a, b, e, f]\n", - " [(c, e)]\n", + " 1.41\n", + " [(c, X)]\n", + " gdXcabfe\n", " \n", " \n", " 8\n", - " 1.82\n", - " NaN\n", - " [d, g, X, a, c, b, e, f]\n", - " [(a, c)]\n", + " 1.57\n", + " [(e, f)]\n", + " gdXcabfe\n", " \n", " \n", " 9\n", - " 1.99\n", - " NaN\n", - " [d, X, g, a, c, b, e, f]\n", - " [(X, g)]\n", + " 1.65\n", + " [(d, g)]\n", + " gdXcabef\n", " \n", " \n", " 10\n", - " 2.11\n", - " NaN\n", - " [d, X, g, a, b, c, e, f]\n", - " [(b, c)]\n", + " 1.82\n", + " [(a, c)]\n", + " dgXacbef\n", " \n", " \n", " 11\n", - " 2.24\n", - " NaN\n", - " [d, X, g, a, b, c, e, f]\n", - " [(e, f)]\n", + " 1.99\n", + " [(X, g)]\n", + " dXgacbef\n", " \n", " \n", " 12\n", - " 2.28\n", - " NaN\n", - " [d, X, a, g, b, e, c, f]\n", - " [(a, g)]\n", + " 2.11\n", + " [(b, c)]\n", + " dXgacbef\n", " \n", " \n", " 13\n", - " 2.36\n", - " NaN\n", - " [d, X, a, b, g, e, c, f]\n", - " [(b, g)]\n", + " 2.27\n", + " [(c, e)]\n", + " dXgabecf\n", " \n", " \n", " 14\n", - " 2.41\n", - " NaN\n", - " [d, X, a, b, e, g, c, f]\n", - " [(e, g)]\n", + " 2.28\n", + " [(a, g)]\n", + " dXagbecf\n", " \n", " \n", " 15\n", - " 2.49\n", - " NaN\n", - " [d, X, a, b, e, g, c, f]\n", - " [(d, g)]\n", + " 2.36\n", + " [(b, g)]\n", + " dXabgecf\n", " \n", " \n", " 16\n", - " 2.52\n", - " NaN\n", - " [d, X, a, b, e, g, c, f]\n", - " [(b, d)]\n", + " 2.41\n", + " [(e, g)]\n", + " dXabegcf\n", " \n", " \n", " 17\n", " 2.60\n", - " NaN\n", - " [d, X, e, b, a, c, g, f]\n", " [(c, g)]\n", + " dXabegcf\n", " \n", " \n", " 18\n", - " 2.85\n", - " NaN\n", - " [d, X, e, b, a, c, f, g]\n", - " [(f, g)]\n", + " 2.68\n", + " [(a, b), (a, e), (b, e)]\n", + " dXebacgf\n", " \n", " \n", " 19\n", - " 3.02\n", - " NaN\n", - " [d, e, X, b, a, f, c, g]\n", - " [(a, c)]\n", + " 2.85\n", + " [(f, g)]\n", + " dXebacgf\n", " \n", " \n", " 20\n", - " 3.37\n", - " NaN\n", - " [d, e, X, b, a, f, c, g]\n", - " [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)]\n", + " 3.14\n", + " [(c, f), (X, e)]\n", + " dXebacfg\n", " \n", " \n", " 21\n", " 3.39\n", - " NaN\n", - " [e, d, b, X, a, f, c, g]\n", " [(b, X)]\n", + " debXafcg\n", " \n", " \n", " 22\n", - " 3.56\n", - " NaN\n", - " [e, d, b, X, a, f, c, g]\n", - " [(X, g)]\n", + " 3.46\n", + " [(d, e)]\n", + " debXafcg\n", " \n", " \n", " 23\n", - " 3.59\n", - " NaN\n", - " [e, d, b, X, a, f, c, g]\n", - " [(c, f), (X, e)]\n", - " \n", - " \n", - " 24\n", " 3.66\n", - " NaN\n", - " [e, b, d, X, a, f, c, g]\n", " [(b, d)]\n", + " edbXafcg\n", " \n", " \n", - " 25\n", + " 24\n", " 3.93\n", - " NaN\n", - " [e, b, f, a, X, d, c, g]\n", - " [(b, c)]\n", + " [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)]\n", + " ebfaXdcg\n", " \n", " \n", - " 26\n", + " 25\n", " 4.29\n", - " NaN\n", - " [e, f, b, a, X, c, d, g]\n", " [(c, d)]\n", + " ebfaXdcg\n", + " \n", + " \n", + " 26\n", + " 4.33\n", + " [(b, f)]\n", + " ebfaXcdg\n", " \n", " \n", " 27\n", - " 4.47\n", - " NaN\n", - " [e, f, b, a, X, c, d, g]\n", - " [(a, g)]\n", + " 4.55\n", + " [(c, X)]\n", + " efbacXdg\n", " \n", " \n", " 28\n", - " 4.50\n", - " NaN\n", - " [e, f, b, a, X, c, d, g]\n", - " [(c, d)]\n", + " 4.71\n", + " [(e, f)]\n", + " efbacXdg\n", " \n", " \n", " 29\n", - " 4.55\n", - " NaN\n", - " [e, f, b, a, c, X, d, g]\n", - " [(c, X)]\n", + " 4.79\n", + " [(d, g)]\n", + " febacXdg\n", " \n", " \n", " 30\n", - " 4.59\n", - " NaN\n", - " [e, f, b, a, c, X, d, g]\n", - " [(d, e)]\n", + " 4.96\n", + " [(a, c)]\n", + " febcaXgd\n", " \n", " \n", " 31\n", - " 4.72\n", - " NaN\n", - " [f, e, b, a, c, X, d, g]\n", - " [(b, g)]\n", + " 5.13\n", + " [(X, g)]\n", + " febcaXgd\n", " \n", " \n", " 32\n", - " 4.87\n", - " NaN\n", - " [f, e, b, c, a, X, g, d]\n", - " [(e, g)]\n", + " 5.25\n", + " [(b, c)]\n", + " febcagXd\n", " \n", " \n", " 33\n", - " 5.31\n", - " NaN\n", - " [f, e, c, b, a, g, X, d]\n", - " [(c, X)]\n", + " 5.41\n", + " [(c, e)]\n", + " fcebagXd\n", " \n", " \n", " 34\n", - " 5.41\n", - " NaN\n", - " [f, c, e, b, g, a, X, d]\n", - " [(c, e)]\n", + " 5.42\n", + " [(a, g)]\n", + " fcebagXd\n", " \n", " \n", " 35\n", - " 5.47\n", - " NaN\n", - " [f, c, g, e, b, a, X, d]\n", - " [(c, g)]\n", + " 5.50\n", + " [(b, g)]\n", + " fcegbaXd\n", " \n", " \n", " 36\n", + " 5.55\n", + " [(e, g)]\n", + " fcegbaXd\n", + " \n", + " \n", + " 37\n", + " 5.74\n", + " [(c, g)]\n", + " fcgebaXd\n", + " \n", + " \n", + " 38\n", " 5.82\n", - " NaN\n", - " [g, f, c, a, b, e, X, d]\n", " [(a, b), (a, e), (b, e)]\n", + " fgcabeXd\n", " \n", " \n", - " 37\n", - " 6.26\n", - " NaN\n", - " [g, f, c, a, b, e, X, d]\n", + " 39\n", + " 5.99\n", " [(f, g)]\n", + " fgcabeXd\n", " \n", " \n", "\n", "
    " ], "text/plain": [ - " angle vertex_pair(s)_swapped sorted_order_at_next_midpoint \\\n", - "0 0.00 NaN [g, c, f, a, b, X, e, d] \n", - "1 0.32 NaN [g, c, f, a, X, d, b, e] \n", - "2 1.04 NaN [g, c, d, X, a, f, b, e] \n", - "3 1.19 NaN [g, d, c, X, a, b, f, e] \n", - "4 1.57 NaN [g, d, X, c, a, b, e, f] \n", - "5 1.65 NaN [d, g, X, c, a, b, e, f] \n", - "6 1.67 NaN [d, g, X, c, a, b, e, f] \n", - "7 1.73 NaN [d, g, X, c, a, b, e, f] \n", - "8 1.82 NaN [d, g, X, a, c, b, e, f] \n", - "9 1.99 NaN [d, X, g, a, c, b, e, f] \n", - "10 2.11 NaN [d, X, g, a, b, c, e, f] \n", - "11 2.24 NaN [d, X, g, a, b, c, e, f] \n", - "12 2.28 NaN [d, X, a, g, b, e, c, f] \n", - "13 2.36 NaN [d, X, a, b, g, e, c, f] \n", - "14 2.41 NaN [d, X, a, b, e, g, c, f] \n", - "15 2.49 NaN [d, X, a, b, e, g, c, f] \n", - "16 2.52 NaN [d, X, a, b, e, g, c, f] \n", - "17 2.60 NaN [d, X, e, b, a, c, g, f] \n", - "18 2.85 NaN [d, X, e, b, a, c, f, g] \n", - "19 3.02 NaN [d, e, X, b, a, f, c, g] \n", - "20 3.37 NaN [d, e, X, b, a, f, c, g] \n", - "21 3.39 NaN [e, d, b, X, a, f, c, g] \n", - "22 3.56 NaN [e, d, b, X, a, f, c, g] \n", - "23 3.59 NaN [e, d, b, X, a, f, c, g] \n", - "24 3.66 NaN [e, b, d, X, a, f, c, g] \n", - "25 3.93 NaN [e, b, f, a, X, d, c, g] \n", - "26 4.29 NaN [e, f, b, a, X, c, d, g] \n", - "27 4.47 NaN [e, f, b, a, X, c, d, g] \n", - "28 4.50 NaN [e, f, b, a, X, c, d, g] \n", - "29 4.55 NaN [e, f, b, a, c, X, d, g] \n", - "30 4.59 NaN [e, f, b, a, c, X, d, g] \n", - "31 4.72 NaN [f, e, b, a, c, X, d, g] \n", - "32 4.87 NaN [f, e, b, c, a, X, g, d] \n", - "33 5.31 NaN [f, e, c, b, a, g, X, d] \n", - "34 5.41 NaN [f, c, e, b, g, a, X, d] \n", - "35 5.47 NaN [f, c, g, e, b, a, X, d] \n", - "36 5.82 NaN [g, f, c, a, b, e, X, d] \n", - "37 6.26 NaN [g, f, c, a, b, e, X, d] \n", - "\n", - " vertex_pair(s) \n", - "0 [(c, f), (X, e)] \n", - "1 [(d, e)] \n", - "2 [(b, f)] \n", - "3 [(b, f)] \n", - "4 [(e, f)] \n", - "5 [(d, g)] \n", - "6 [(b, X)] \n", - "7 [(c, e)] \n", - "8 [(a, c)] \n", - "9 [(X, g)] \n", - "10 [(b, c)] \n", - "11 [(e, f)] \n", - "12 [(a, g)] \n", - "13 [(b, g)] \n", - "14 [(e, g)] \n", - "15 [(d, g)] \n", - "16 [(b, d)] \n", - "17 [(c, g)] \n", - "18 [(f, g)] \n", - "19 [(a, c)] \n", - "20 [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] \n", - "21 [(b, X)] \n", - "22 [(X, g)] \n", - "23 [(c, f), (X, e)] \n", - "24 [(b, d)] \n", - "25 [(b, c)] \n", - "26 [(c, d)] \n", - "27 [(a, g)] \n", - "28 [(c, d)] \n", - "29 [(c, X)] \n", - "30 [(d, e)] \n", - "31 [(b, g)] \n", - "32 [(e, g)] \n", - "33 [(c, X)] \n", - "34 [(c, e)] \n", - "35 [(c, g)] \n", - "36 [(a, b), (a, e), (b, e)] \n", - "37 [(f, g)] " + " Angle Swapped Verts Sorted list\n", + "0 0.00 [(c, f), (X, e)] gcfabXed\n", + "1 0.25 [(b, X)] gcfaXbed\n", + "2 0.32 [(d, e)] gcfaXbed\n", + "3 0.52 [(b, d)] gcfaXdbe\n", + "4 0.79 [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] gcdXafbe\n", + "5 1.15 [(c, d)] gcdXafbe\n", + "6 1.19 [(b, f)] gdcXafbe\n", + "7 1.41 [(c, X)] gdXcabfe\n", + "8 1.57 [(e, f)] gdXcabfe\n", + "9 1.65 [(d, g)] gdXcabef\n", + "10 1.82 [(a, c)] dgXacbef\n", + "11 1.99 [(X, g)] dXgacbef\n", + "12 2.11 [(b, c)] dXgacbef\n", + "13 2.27 [(c, e)] dXgabecf\n", + "14 2.28 [(a, g)] dXagbecf\n", + "15 2.36 [(b, g)] dXabgecf\n", + "16 2.41 [(e, g)] dXabegcf\n", + "17 2.60 [(c, g)] dXabegcf\n", + "18 2.68 [(a, b), (a, e), (b, e)] dXebacgf\n", + "19 2.85 [(f, g)] dXebacgf\n", + "20 3.14 [(c, f), (X, e)] dXebacfg\n", + "21 3.39 [(b, X)] debXafcg\n", + "22 3.46 [(d, e)] debXafcg\n", + "23 3.66 [(b, d)] edbXafcg\n", + "24 3.93 [(a, X), (a, d), (f, a), (X, d), (f, X), (f, d)] ebfaXdcg\n", + "25 4.29 [(c, d)] ebfaXdcg\n", + "26 4.33 [(b, f)] ebfaXcdg\n", + "27 4.55 [(c, X)] efbacXdg\n", + "28 4.71 [(e, f)] efbacXdg\n", + "29 4.79 [(d, g)] febacXdg\n", + "30 4.96 [(a, c)] febcaXgd\n", + "31 5.13 [(X, g)] febcaXgd\n", + "32 5.25 [(b, c)] febcagXd\n", + "33 5.41 [(c, e)] fcebagXd\n", + "34 5.42 [(a, g)] fcebagXd\n", + "35 5.50 [(b, g)] fcegbaXd\n", + "36 5.55 [(e, g)] fcegbaXd\n", + "37 5.74 [(c, g)] fcgebaXd\n", + "38 5.82 [(a, b), (a, e), (b, e)] fgcabeXd\n", + "39 5.99 [(f, g)] fgcabeXd" ] }, - "execution_count": 10, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "pd_table = pd.DataFrame(columns=['angle', 'vertex_pair(s)_swapped', 'sorted_order_at_next_midpoint'])\n", - "pd_table['angle'] = keys\n", - "pd_table['vertex_pair(s)'] = [All_Angles_2pi[key] for key in keys]\n", + "All_Angles = G.get_all_angles('dict', num_rounding_digits=2, opposites = True)\n", + "keys = list(All_Angles.keys())\n", + "keys.sort()\n", "\n", - "# sort the vertex pairs at the midpoint\n", + "pd_table = pd.DataFrame(columns = ['Angle', 'Swapped Verts', 'Sorted list'])\n", + "pd_table['Angle'] = keys\n", + "pd_table['Swapped Verts'] = [All_Angles[key] for key in keys]\n", "\n", - "for i in range(len(keys)-1):\n", - " angle = np.average([keys[i], keys[i+1]])\n", - " sorted_order = G.sort_vertices(angle)\n", - " pd_table.at[i, 'sorted_order_at_next_midpoint'] = sorted_order\n", "\n", - "angle = np.average([keys[-1], keys[0]+2*np.pi])\n", - "sorted_order = G.sort_vertices(angle)\n", - "pd_table.at[len(keys)-1, 'sorted_order_at_next_midpoint'] = sorted_order\n", "\n", - "pd_table" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.16" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "start_angle = np.average(keys[0:2])\n", - "start_angle" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "['g', 'c', 'f', 'a', 'b', 'X', 'e', 'd']" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "G.sort_vertices(start_angle)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "5.82 : 5.82\n", - "1.82 : 1.82\n", - "3.93 : 3.93\n", - "2.28 : 2.28\n", - "2.11 : 2.11\n", - "3.39 : 3.39\n", - "3.66 : 3.66\n", - "1.19 : 1.19\n", - "2.36 : 2.36\n", - "4.55 : 4.55\n", - "4.29 : 4.29\n", - "5.41 : 5.41\n", - "0.0 : 0.0\n", - "2.6 : 2.6\n", - "1.99 : 1.99\n", - "0.32 : 0.32\n", - "1.65 : 1.65\n", - "1.57 : 1.57\n", - "2.41 : 2.41\n", - "2.85 : 2.85\n" - ] - } - ], - "source": [ - "# angle mod 2pi\n", - "for theta in All_Angles:\n", - " print(f'{theta} : {theta % (2*np.pi)}')" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "5.9917285127017195" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "M = G.get_all_angles()[0]\n", - "np.nanmin(M)\n", - "np.nanmax(M)" + "pd_table.sort_values(by='Angle', inplace=True)\n", + "pd_table['Sorted list'] = [''.join(G.sort_vertices(key)) for key in keys]\n", + "pd_table.head(100)" ] }, { diff --git a/docs/notebooks/Tutorial-ECT_for_CW_Complexes.html b/docs/notebooks/Tutorial-ECT_for_CW_Complexes.html index 594138f..4b1f1f8 100644 --- a/docs/notebooks/Tutorial-ECT_for_CW_Complexes.html +++ b/docs/notebooks/Tutorial-ECT_for_CW_Complexes.html @@ -1,3 +1,5 @@ + + @@ -5,25 +7,21 @@ 3.2. Tutorial: ECT for CW complexes — ect 0.1.5 documentation - - + + - + - - - - - - - - - - + + + + + + + + diff --git a/docs/notebooks/Tutorial-ECT_for_embedded_graphs.html b/docs/notebooks/Tutorial-ECT_for_embedded_graphs.html index 61a57a4..2fe06d2 100644 --- a/docs/notebooks/Tutorial-ECT_for_embedded_graphs.html +++ b/docs/notebooks/Tutorial-ECT_for_embedded_graphs.html @@ -1,3 +1,5 @@ + + @@ -5,25 +7,21 @@ 3.1. Tutorial : ECT for embedded graphs — ect 0.1.5 documentation - - + + - + - - - - - - - - - - + + + + + + + + diff --git a/docs/notebooks/Tutorial-ExactECT.html b/docs/notebooks/Tutorial-ExactECT.html index 774c7bc..40d6481 100644 --- a/docs/notebooks/Tutorial-ExactECT.html +++ b/docs/notebooks/Tutorial-ExactECT.html @@ -1,3 +1,5 @@ + + @@ -5,25 +7,21 @@ 3.4. Tutorial for exact ECT computation — ect 0.1.5 documentation - - + + - + - - - - - - - - - - + + + + + + + + @@ -164,24 +162,17 @@

    3.4. Tutorial for exact ECT computation< G.add_edge('B', 'D') G.add_edge('D', 'C') -G.plot(angle_labels_circle=True) +fig, ax = plt.subplots() +G.plot(ax = ax) +G.plot_angle_circle(ax = ax)

    -
    -
    [2]:
    -
    -
    -
    -
    -<Axes: >
    -
    -
    -../_images/notebooks_Tutorial-ExactECT_3_1.png +../_images/notebooks_Tutorial-ExactECT_3_0.png
    @@ -193,24 +184,16 @@

    3.4. Tutorial for exact ECT computation< fig, ax = plt.subplots() -G.plot(ax = ax, angle_labels_circle=True) -

    -
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    [3]:
    +G.plot(ax = ax)
    +G.plot_angle_circle(ax = ax)
     
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    -../_images/notebooks_Tutorial-ExactECT_4_1.png +../_images/notebooks_Tutorial-ExactECT_4_0.png

    We can extract the information directly for use in computation.

    @@ -219,7 +202,7 @@

    3.4. Tutorial for exact ECT computation<

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    # If return type is `matrix`, the function returns the matrix of angles and the labels of the angles in the order of the rows/columns in the matrix
    -M,Labels = G.get_all_angles(returntype='matrix')
    +M,Labels = G.get_all_normals_matrix()
     print(M)
     
     plt.matshow(M)
    @@ -248,7 +231,7 @@ 

    3.4. Tutorial for exact ECT computation<

    -<matplotlib.colorbar.Colorbar at 0x16bf21110>
    +<matplotlib.colorbar.Colorbar at 0x16b198290>
     
    @@ -263,7 +246,7 @@

    3.4. Tutorial for exact ECT computation<
    [5]:
     
    -
    angles_dict = G.get_all_angles(returntype='dict')
    +
    angles_dict = G.get_normals_dict()
     angles_dict
     
    @@ -291,9 +274,8 @@

    3.4. Tutorial for exact ECT computation<
    [6]:
     
    -
    G.get_all_angles(returntype='dict',
    -                 opposites = True,
    -                 num_rounding_digits=2)
    +
    G.get_normals_dict(opposites = True,
    +                   num_rounding_digits=2)
     
    @@ -313,16 +295,16 @@

    3.4. Tutorial for exact ECT computation< 2.03: [('C', 'D')], 2.9: [('C', 'E')], 3.46: [('D', 'E')], - 8.64: [('A', 'B'), ('A', 'F'), ('B', 'F')], - 8.75: [('A', 'C')], - 8.96: [('A', 'D'), ('F', 'C')], - 8.17: [('A', 'E')], - 8.84: [('B', 'C')], + 2.36: [('A', 'B'), ('A', 'F'), ('B', 'F')], + 2.47: [('A', 'C')], + 2.68: [('A', 'D'), ('F', 'C')], + 1.89: [('A', 'E')], + 2.56: [('B', 'C')], 3.14: [('B', 'D'), ('E', 'F')], - 7.07: [('B', 'E'), ('D', 'F')], + 0.79: [('B', 'E'), ('D', 'F')], 5.17: [('C', 'D')], 6.04: [('C', 'E')], - 6.6: [('D', 'E')]} + 0.32: [('D', 'E')]}

    diff --git a/docs/notebooks/Tutorial-ExactECT.ipynb b/docs/notebooks/Tutorial-ExactECT.ipynb index ad8b21b..19a4e29 100644 --- a/docs/notebooks/Tutorial-ExactECT.ipynb +++ b/docs/notebooks/Tutorial-ExactECT.ipynb @@ -39,17 +39,7 @@ "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
    " ] @@ -69,7 +59,9 @@ "G.add_edge('B', 'D')\n", "G.add_edge('D', 'C')\n", "\n", - "G.plot(angle_labels_circle=True)\n" + "fig, ax = plt.subplots()\n", + "G.plot(ax = ax)\n", + "G.plot_angle_circle(ax = ax)\n" ] }, { @@ -79,17 +71,7 @@ "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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", 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    " ] @@ -104,7 +86,8 @@ "\n", "\n", "fig, ax = plt.subplots()\n", - "G.plot(ax = ax, angle_labels_circle=True)" + "G.plot(ax = ax)\n", + "G.plot_angle_circle(ax = ax)" ] }, { @@ -134,7 +117,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -143,7 +126,7 @@ }, { "data": { - "image/png": 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//7yi0aiee+45PfbYY2d837Zt2bZdeJQAEAJBrCSKcp+EZVkqKSnRxx9/XIzDAUAoOY4lx8Nf9F72LVRBSSKVSqm9vV2SdOLECa1atUqdnZ1asGBBUYMDAPiroCTR2tqq6upqSVJlZaVqa2u1bt06zZo1q5ixAUCoDIr3STQ3N6u5ubkfQgGAcAvinAQP+AMAuOIBfwBgyKCZuAYA5I92EwBgwHriiSdkWZYeeOCBnPehkgAAQ/xsN7399tt69tlnNWXKlLz2o5IAAEMcj48JLzRJdHZ26pZbbtFzzz2n4cOH57UvSQIADHEkOY6H8flxkslkr3H6U7b7snTpUs2bN0+zZ8/OO2aSBAAETCwWUzQazY54PO763VdeeUW7du0663fOhjkJADAkI0tWEe64TiQSikQi2e1uD1BNJBK6//779frrr6usrKygc5IkAMCQYk1cRyKRXknCzc6dO3Xs2DFddtll2W3pdFpbtmzRqlWrlEqlNGTIkLMegyQBACF17bXXau/evb223XbbbaqtrdX3vve9L00QEkkCAIzJOJYsgzfTVVZW6uKLL+61rby8XCNHjjxjuxuSBAAY0rNKycv+ppEkAGAQefPNN/P6PkkCAAzhAX8AAFdBTBLcTAcAcOVrJZE5R7LO8TMC72p/8B9+h+DZ/kfb/A6hKP7x7z/yO4SiOLnP7wi8W/Lfy/wOwbP0J59I+n5Rj2l6dVMx0G4CAEOCuLqJdhMAwBWVBAAYcqqS8DJxXcRgckSSAABDgri6iSQBAIY4+tc7IQrd3zTmJAAArqgkAMAQ2k0AAHcB7DfRbgIAuKKSAABTPLabRLsJAMKLO64BAKFCJQEAhrC6CQDgzrG8zSvwPgkAwEBCJQEAhgRx4pokAQCmcDMdACBMqCQAwBBWNwEAzs6P5317QJIAAEOCWEkUPCfR3t6uZcuWafz48bJtW7FYTAsWLNCmTZuKGR8AwEcFVRKHDx/WzJkzNWzYMD355JO65JJL9Nlnn2njxo1aunSp9u/fX+w4ASD4Ari6qaAkce+998qyLG3fvl3l5eXZ7ZMnT9btt99etOAAIFysz4eX/c3KO0l8+OGHam1t1cqVK3sliB7Dhg07Y1sqlVIqlcp+TiaT+Z4WAOCDvOckDh48KMdxVFtbm/M+8Xhc0Wg0O2KxWL6nBYDgc4owDMs7STgF3Bfe0NCgjo6O7EgkEnkfAwACL4BJIu9200UXXSTLsvKanLZtW7Zt53sqAIDP8q4kRowYoTlz5mj16tXq6uo649c/+uijYsQFAOHT86hwL8Owgu6TWL16tdLptKZPn65f/epXevfdd7Vv3z4988wzmjFjRrFjBIBQ6HkKrJdhWkFLYMePH69du3Zp5cqVevDBB9XW1qZRo0Zp2rRpamxsLHaMAACfFPxYjurqaq1atUqrVq0qZjwAEF6D5WY6AEABeH0pACBMqCQAwBDLOTW87G8aSQIATGFOAgDgijkJAECYUEkAgCm0mwAArgKYJGg3AQBcUUkAgCkBrCRIEgBgCqubAABhQiUBAIZwxzUAwF0A5yRoNwEAXJEkACCkGhsbNWXKFEUiEUUiEc2YMUMbNmzI6xgkCQAwxNK/5iUKGnmeb8yYMXriiSe0c+dO7dixQ9dcc42+9a1v6c9//nPOx/B1TiJtSyrzMwLvPh2Z9jsEz5r/Eo73kv9341a/QyiKr77whN8heFY5otPvEDxL/7+U3yF4tmDBgl6fV65cqcbGRm3btk2TJ0/O6RhMXAOAKUW6TyKZTPbabNu2bNs+667pdFrr1q1TV1eXZszI/R+GtJsAwBSnCENSLBZTNBrNjng87nrKvXv3qqKiQrZt6+6779b69es1adKknEOmkgAAU4q0BDaRSCgSiWQ3n62KmDhxonbv3q2Ojg798pe/1OLFi7V58+acEwVJAgACpme1Ui6GDh2qCRMmSJKmTZumt99+Wz/+8Y/17LPP5rQ/SQIADBkId1xnMhmlUrlPypMkAMAUw3dcNzQ0aO7cubrwwgt18uRJvfTSS3rzzTe1cePGnI9BkgCAkDp27JhuvfVWtbW1KRqNasqUKdq4caOuu+66nI9BkgAAUwxXEk1NTR5OdgpJAgAMGQhzEvniPgkAgCsqCQAwJYBvpiNJAIApvE8CABAmVBIAYEgQJ65JEgBgSgDbTSQJADDFYyXBnAQAYEChkgAAU2g3AQBcBTBJ0G4CALjKK0ksWbJElmXJsiydc845Gj16tK677jqtWbNGmUymv2IEgFDoWQLrZZiWdyVRX1+vtrY2HT58WBs2bFBdXZ3uv/9+zZ8/X93d3f0RIwDAJ3nPSdi2raqqKknSBRdcoMsuu0xXXXWVrr32WjU3N+vOO+8sepAAAH8UZU7immuu0dSpU/Xaa6/1+eupVErJZLLXAIBBxynCMKxoE9e1tbU6fPhwn78Wj8cVjUazIxaLFeu0ABAYg2JOwo3jOLKsvh9j29DQoI6OjuxIJBLFOi0AoB8V7T6Jffv2ady4cX3+mm3bsm27WKcCgODyoRrwoiiVxBtvvKG9e/dq4cKFxTgcAIRTAOck8q4kUqmU2tvblU6ndfToUbW2tioej2v+/Pm69dZb+yNGAIBP8k4Sra2tqq6uVmlpqYYPH66pU6fqmWee0eLFi1VSwg3cAOAm9O+TaG5uVnNzcz+FAgAhF8BnN/GAPwAwJIiVBP0hAIArKgkAMIV2EwDAVQCTBO0mAIArKgkAMCSIE9ckCQAwhXYTACBMqCQAwJQAVhIkCQAwJIhzErSbAACuqCQAwBTaTQAAN7SbAAChQiUBAKbQbgIAuCJJAADcWJ8PL/ubxpwEAMCVr5VE5fuOhgz1oX4qovPWdfgdgme3/s9/+B1CUdSP+ne/QyiKw8ef9TsEz64rudHvEDzrdj4r/kFpNwEA3LAEFgAQKlQSAGAK7SYAwFkFbBqWdhMAwBWVBAAYEsSJa5IEAJgSwDkJ2k0AAFckCQAwpKfd5GXkIx6P64orrlBlZaXOP/983XDDDTpw4EBexyBJAIApThFGHjZv3qylS5dq27Ztev311/XZZ5/p+uuvV1dXV87HYE4CAEKqtbW11+fm5madf/752rlzp775zW/mdAySBAAYUqzVTclkstd227Zl2/aX7t/RcepZcyNGjMj5nLSbAMCUIrWbYrGYotFodsTj8S89dSaT0QMPPKCZM2fq4osvzjlkKgkAMKVIS2ATiYQikUh2cy5VxNKlS/XOO+/orbfeyuuUJAkACJhIJNIrSXyZb3/722ppadGWLVs0ZsyYvM5FkgAAQ0zfce04jpYtW6b169frzTff1Lhx4/I+J0kCAEwxfMf10qVL9dJLL+k3v/mNKisr1d7eLkmKRqM699xzczoGE9cAEFKNjY3q6OjQrFmzVF1dnR1r167N+RhUEgBgiOU4spzCS4l893U8nKsHSQIATBksD/hbsmSJLMs6Y9TX1xc7PgCAjwquJOrr6/Xzn/+817Zc1uoCwGA1qN4nYdu2qqqqihkLAIRbANtNRuYkUqmUUqlU9vMXnzsCABiYCl4C29LSooqKil7j8ccf7/O78Xi813NGYrFYwQEDQFCZfp9EMRRcSdTV1amxsbHXNrcnCzY0NGj58uXZz8lkkkQBYPAZTO2m8vJyTZgwIafv5voYWwDAwMJ9EgBgyKBa3ZRKpbLPAckerLRU5513nuegACCUBlO7qbW1VdXV1b22TZw4Ufv37/ccFACElR/VgBcFrW5qbm6W4zhnDBIEAIQLcxIAYIrjnBpe9jeMJAEAhgRx4pr3SQAAXFFJAIApg2l1EwAgP1bm1PCyv2m0mwAArqgkAMAU2k0AADesbgIAhAqVBACYws10AAA3tJsAAKFCJQEAprC6CQDgJojtJpIEAJgSwIlr5iQAAK6oJADAENpNefpkhKUhtuVnCJ59UD/C7xA8O5bu8juEonCqz/c7hKL46k/+j98heHY4s87vEDxLJpOKRqPFPWgAJ65pNwEAXNFuAgBDaDcBANxlnFPDy/6G0W4CALiikgAAUwI4cU2SAABDLHmckyhaJLmj3QQAcEUlAQCmBPCxHCQJADCEJbAAAHcBnLhmTgIA4IpKAgAMsRxHlod5BS/7FookAQCmZD4fXvY3jHYTAMAVlQQAGEK7CQDgjtVNAIAwoZIAAFO44xoA4CaId1zTbgIAuKKSAABTAthuKriSWLJkiSzLOmMcPHiwmPEBQGhYGe8jX1u2bNGCBQtUU1Mjy7L061//Oq/9PbWb6uvr1dbW1muMGzfOyyEBAEXU1dWlqVOnavXq1QXt76ndZNu2qqqqvBwCAAYPH9pNc+fO1dy5cws+pZE5iVQqpVQqlf2cTCZNnBYABpYi3Uz3xb9DbduWbdseDuzOU7uppaVFFRUV2XHjjTf2+b14PK5oNJodsVjMy2kBIJB6HsvhZUhSLBbr9XdqPB7vt5g9VRJ1dXVqbGzMfi4vL+/zew0NDVq+fHn2czKZJFEAQIESiYQikUj2c39VEZLHJFFeXq4JEyZ86ff6sxQCgMAo0pxEJBLplST6E/dJAIApjry9E4J3XAMAiqmzs7PX/WuHDh3S7t27NWLECF144YVfuj9JAgAM8eN9Ejt27FBdXV32c8/88OLFi9Xc3Pyl+xecJHI5OADgNI48zknkv8usWbPkeDgnD/gDALii3QQApgTwAX8kCQAwJSPJ8ri/YbSbAACuqCQAwBA/Vjd5RZIAAFMCOCdBuwkA4IpKAgBMCWAlQZIAAFNIEgAAVyyBBQCECZUEABjCElgAgLsAzknQbgIAuKKSAABTMo5keagGMrSbACC8Athu8iVJ9LwAI536xI/T4wtOnvRhXV0/6E6n/A6hKDIfB//PRTKZ9DsEz3quwcsLe8LAcnz4L/DBBx8oFouZPi0A5C2RSGjMmDGejpFMJhWNRjV7/H0qLbELPk53JqX/+tsz6ujoUCQS8RRTrnypJGpqapRIJFRZWSnL8nJnibtkMqlYLKZEImHsP2Z/CMN1hOEaJK5jIDFxDY7j6OTJk6qpqSnmQWk35aKkpMRzZs5VJBIJ7B+E04XhOsJwDRLXMZD09zVEo9F+O3ZQMHENAKZkHEmsbgIA9MXJnBpe9jcstDfT2batFStWyLYLnyQaCMJwHWG4BonrGEjCcA1B4cvqJgAYTLKrm2L3eF/dlGgM/+omABiUmJMAALgK4BLY0M5JAAC8o5IAAFMceawkihZJzkgSAGAK7SYAQJhQSQCAKZmMJA83xGXM30xHkgAAU2g3AQDChEoCAEwJYCVBkgAAUwJ4xzXtJgCAKyoJADDEcTJyPDzu28u+hSJJAIApjuOtZcTqJgDAQEIlAQCmOB4nrlndBAAhlslIVrBeX0qSAABTAlhJMCcBAHBFJQEAhjiZjBwP7SaWwAJAmNFuAgCECZUEAJiScSQrWJUESQIATHEceXrpEO0mAMBAQiUBAIY4GUeOh3aTQ7sJAELM8fiOax+WwNJuAoCQW716tb761a+qrKxMV155pbZv357zviQJADDEyTieR77Wrl2r5cuXa8WKFdq1a5emTp2qOXPm6NixYzntT5IAAFOcjPeRpx/96Ee66667dNttt2nSpEn66U9/qq985Stas2ZNTvszJwEAhnTrM083XHfrM0lSMpnstd22bdm2fcb3P/30U+3cuVMNDQ3ZbSUlJZo9e7a2bt2a0zlJEgDQz4YOHaqqqiq91f6fno9VUVGhWCzWa9uKFSv08MMPn/Hdf/zjH0qn0xo9enSv7aNHj9b+/ftzOh9JAgD6WVlZmQ4dOqRPP/3U87Ecx5FlWb229VVFFAtJAgAMKCsrU1lZmdFznnfeeRoyZIiOHj3aa/vRo0dVVVWV0zGYuAaAkBo6dKimTZumTZs2ZbdlMhlt2rRJM2bMyOkYVBIAEGLLly/X4sWLdfnll2v69Ol6+umn1dXVpdtuuy2n/UkSABBiN910k44fP64f/OAHam9v16WXXqrW1tYzJrPdWI4fDwMBAAQCcxIAAFckCQCAK5IEAMAVSQIA4IokAQBwRZIAALgiSQAAXJEkAACuSBIAAFckCQCAK5IEAMDV/wcy4doyxKuBhQAAAABJRU5ErkJggg==", + "image/png": 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    " ] @@ -154,7 +137,7 @@ ], "source": [ "# If return type is `matrix`, the function returns the matrix of angles and the labels of the angles in the order of the rows/columns in the matrix \n", - "M,Labels = G.get_all_angles(returntype='matrix')\n", + "M,Labels = G.get_all_normals_matrix()\n", "print(M)\n", "\n", "plt.matshow(M)\n", @@ -196,7 +179,7 @@ } ], "source": [ - "angles_dict = G.get_all_angles(returntype='dict')\n", + "angles_dict = G.get_normals_dict()\n", "angles_dict" ] }, @@ -225,16 +208,16 @@ " 2.03: [('C', 'D')],\n", " 2.9: [('C', 'E')],\n", " 3.46: [('D', 'E')],\n", - " 8.64: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", - " 8.75: [('A', 'C')],\n", - " 8.96: [('A', 'D'), ('F', 'C')],\n", - " 8.17: [('A', 'E')],\n", - " 8.84: [('B', 'C')],\n", + " 2.36: [('A', 'B'), ('A', 'F'), ('B', 'F')],\n", + " 2.47: [('A', 'C')],\n", + " 2.68: [('A', 'D'), ('F', 'C')],\n", + " 1.89: [('A', 'E')],\n", + " 2.56: [('B', 'C')],\n", " 3.14: [('B', 'D'), ('E', 'F')],\n", - " 7.07: [('B', 'E'), ('D', 'F')],\n", + " 0.79: [('B', 'E'), ('D', 'F')],\n", " 5.17: [('C', 'D')],\n", " 6.04: [('C', 'E')],\n", - " 6.6: [('D', 'E')]}" + " 0.32: [('D', 'E')]}" ] }, "execution_count": 6, @@ -243,9 +226,8 @@ } ], "source": [ - "G.get_all_angles(returntype='dict', \n", - " opposites = True, \n", - " num_rounding_digits=2)" + "G.get_normals_dict(opposites = True, \n", + " num_rounding_digits=2)" ] } ], diff --git a/docs/objects.inv b/docs/objects.inv index 4a259d27136240f53fda08231fa82cb669be9073..1c8853488f5740c1d49dfdf878c3c72bcc72b5d1 100644 GIT binary patch delta 2654 zcmV-k3ZeDR6t@+SbbpSdI1;}1Q+S72?TMP6nOogjbaknuE-9tVRUZ*)oSCRdV6k(m z>ejC@((cRkldOL**kHgv^r;d%;)~D!;UFjk$sK|uJ-1nN0nPjUwa#xP0v`b@tt(N1 z?=Iw8MxrkM6~rHqs(1I09GEUFGmOFSCRL-(U78kELDG~PMt|f|=PueXE8(ro2zp48 zV1z>;!rmL=j7S=!9A>)B^5TZmtjbezX%W8oK{aJf{58EtP$(b#mHj&p)6P5Aw<<5H zbJvU3K-VM6Q~0VcxUSH=)@0=a`;ntO`KGNnO?N?QX31HrXL+8UGKfOd+xnWKu1wi@ 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"Computing-the-ECT-of-G"]], "Conclusion": [[1, "conclusion"]], "Constructing the embedded graph": [[13, "Constructing-the-embedded-graph"]], "Contact Information": [[5, "contact-information"]], "Contents:": [[5, null], [15, null]], "Contributing Guidelines": [[1, "contributing-guidelines"]], "Contributing to the ect Package": [[1, null]], "Dependencies": [[5, "dependencies"]], "Description": [[5, "description"]], "Documentation and tutorials": [[5, "documentation-and-tutorials"]], "Documentation guidelines": [[1, "documentation-guidelines"]], "ECC in one direction": [[9, "ECC-in-one-direction"]], "ECT": [[9, "ECT"]], "ECT on Graphs": [[2, null]], "ECT on Matisse\u2019s \u201cThe Parakeet and the Mermaid\u201d": [[10, null]], "Embedded CW complex": [[3, null]], "Embedded graphs": [[4, null]], "Erik\u2019s version": [[9, "Erik's-version"]], "Figure generation for Invitation to the ECT": [[9, null]], "GPL-3.0 License": [[7, null]], "Getting Started": [[1, "getting-started"], [5, "getting-started"]], "Installation": [[6, null]], "Installing": [[5, "installing"]], "Installing ect": [[6, "installing-ect"]], "Issue tracking and pull requests": [[1, "issue-tracking-and-pull-requests"]], "Let\u2019s draw a cylinder!": [[9, "Let's-draw-a-cylinder!"]], "License": [[5, "license"]], "Making pictures": [[9, "Making-pictures"]], "Prerequisites": [[6, "prerequisites"]], "SECT": [[9, "SECT"], [13, "SECT"]], "Table of Contents": [[5, "table-of-contents"], [8, null]], "Testing guidelines": [[1, "testing-guidelines"]], "Thresholded Figure": [[9, "Thresholded-Figure"]], "Trying Erik\u2019s stuff": [[9, "Trying-Erik's-stuff"]], "Tutorial : ECT for embedded graphs": [[13, null]], "Tutorial for exact ECT computation": [[14, null]], "Tutorial: ECT for CW complexes": [[12, null]], "Tutorials": [[15, null]], "Uninstalling ect": [[6, "uninstalling-ect"]], "ect: Euler Characteristic Transform in Python": [[5, null]]}, "docnames": ["citing", "contributing", "ect_on_graphs", "embed_cw", "embed_graph", "index", "installation", "license", "modules", "notebooks/CodingFiguresFern", "notebooks/Matisse/Matisse_ECT", "notebooks/Playing_with_Spirals", "notebooks/Tutorial-ECT_for_CW_Complexes", "notebooks/Tutorial-ECT_for_embedded_graphs", "notebooks/Tutorial-ExactECT", "tutorials"], "envversion": {"nbsphinx": 4, "sphinx": 62, "sphinx.domains.c": 3, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 9, "sphinx.domains.index": 1, "sphinx.domains.javascript": 3, "sphinx.domains.math": 2, "sphinx.domains.python": 4, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.intersphinx": 1, "sphinx.ext.todo": 2, "sphinx.ext.viewcode": 1}, "filenames": ["citing.rst", "contributing.rst", "ect_on_graphs.md", "embed_cw.md", "embed_graph.md", "index.rst", "installation.rst", "license.md", "modules.rst", "notebooks/CodingFiguresFern.ipynb", "notebooks/Matisse/Matisse_ECT.ipynb", "notebooks/Playing_with_Spirals.ipynb", 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Tutorials — ect 0.1.5 documentation - - + + - - - - - - - - - - + + + + + + + + diff --git a/ect/ect/embed_graph.py b/ect/ect/embed_graph.py index 790b04c..dee5293 100644 --- a/ect/ect/embed_graph.py +++ b/ect/ect/embed_graph.py @@ -26,7 +26,7 @@ def __init__(self): def add_node(self, vertex, x, y): """Add a vertex to the graph. - If the vertex name is given as None, it will be assigned via the next_vert_name method. + If the vertex name is given as None, it will be assigned via the ``next_vert_name`` method. Parameters: vertex (hashable like int or str, or None) : The name of the vertex to add. @@ -65,7 +65,7 @@ def next_vert_name(self, s, num_verts=1): """ Making a simple name generator for vertices. If you're using integers, it will just up the count by one. - Letters will be incremented in the alphabet. If you reach 'Z', it will return 'AA'. If you reach 'ZZ', it will return 'AAA', etc. + Letters will be incremented in the alphabet. If you reach ``Z``, it will return ``AA``. If you reach ``ZZ``, it will return ``AAA``, etc. Parameters: s (str or int): The name of the vertex to increment. @@ -182,7 +182,7 @@ def get_bounding_box(self): Method to find a bounding box of the vertex coordinates in the graph. Returns: - list: A list of tuples representing the minimum and maximum x and y coordinates. + list: A list of tuples representing the minimum and maximum :math:`x` and :math:`y` coordinates. """ if not self.coordinates: @@ -193,13 +193,13 @@ def get_bounding_box(self): def get_center(self, type='origin'): """ - Calculate and return the center of the graph. This can be done by either returning the average of the coordiantes (`mean`), the center of the bounding box (`min_max`), or the origin (`origin`). + Calculate and return the center of the graph. This can be done by either returning the average of the coordiantes (``mean``), the center of the bounding box (``min_max``), or the origin (``origin``). Parameters: - type (str): The type of center to calculate. Options are 'mean', 'min_max', or 'origin'. + type (str): The type of center to calculate. Options are ``mean``, ``min_max``, or ``origin``. Returns: - numpy.ndarray: The (x, y) coordinates of the center. + numpy.ndarray: The :math:`(x, y)` coordinates of the center. """ if not self.coordinates: return np.array([0.0, 0.0]) @@ -220,7 +220,7 @@ def get_bounding_radius(self, type='origin'): Method to find the radius of the bounding circle of the vertex coordinates in the graph. Parameters: - type (str): The type of center to calculate the radius relative to. Options are 'mean', 'min_max', or 'origin'. + type (str): The type of center to calculate the radius relative to. Options are ``mean``, ``min_max``, or ``origin``. Returns: float: The radius of the bounding circle. @@ -242,8 +242,8 @@ def get_centered_coordinates(self, type='min_max'): """ Method to find the centered coordinates of the vertices in the graph. - If type is 'min_max', the coordinates are centered at the mean of the min and max values of the x and y coordinates. - If type is 'mean', the coordinates are centered at the mean of the x and y coordinates. + If type is ``min_max``, the coordinates are centered at the mean of the min and max values of the :math:`x` and :math:`y` coordinates. + If type is ``mean``, the coordinates are centered at the mean of the :math:`x` and :math:`y` coordinates. """ if not self.coordinates: @@ -261,7 +261,7 @@ def set_centered_coordinates(self, type='min_max'): def get_scaled_coordinates(self, radius=1): """ - Method to find the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by `radius`. + Method to find the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by ``radius``. Parameters: radius (float): @@ -284,12 +284,49 @@ def get_scaled_coordinates(self, radius=1): def set_scaled_coordinates(self, radius=1): """ - Method to set the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by `radius`. Warning: This overwrites the original coordinates + Method to set the scaled coordinates of the vertices in the graph to fit in the disk centered at 0 with radius given by ``radius``. Warning: This overwrites the original coordinates """ self.coordinates = self.get_scaled_coordinates(radius) + def rescale_to_unit_disk(self, preserve_center=True, center_type='origin'): + """ + Rescales the graph coordinates to fit within a radius 1 disk. + + Parameters: + preserve_center (bool): If True, maintains the current center point of type ``center_type``. + If False, centers the graph at (0, 0). + + Returns: + self: Returns the instance for method chaining. + + Raises: + ValueError: If the graph has no coordinates or all coordinates are identical. + """ + if not self.coordinates: + raise ValueError("Graph has no coordinates to rescale.") + + center = self.get_center(center_type) + coords = np.array(list(self.coordinates.values())) + + coords_centered = coords - center + + max_distance = np.max(np.linalg.norm(coords_centered, axis=1)) + + if np.isclose(max_distance, 0): + raise ValueError("All coordinates are identical. Cannot rescale.") + + scale_factor = 1 / max_distance + + new_coords = (coords_centered * scale_factor) + \ + (center if preserve_center else 0) + + for vertex, new_coord in zip(self.coordinates.keys(), new_coords): + self.coordinates[vertex] = tuple(new_coord) + + return self + def get_PCA_coordinates(self): """ Method to find the PCA coordinates of the vertices in the graph. @@ -317,9 +354,9 @@ def get_PCA_coordinates(self): def set_PCA_coordinates(self, center_type=None, scale_radius=None): """ Method to set the PCA coordinates of the vertices in the graph which is helpful for coarse alignment. - If you also want to center at zero, the options for `center_type` are `mean` or `min_max`. - Set `scale_radius` to a value to scale to a specific radius. - Warning: This overwrites the original coordinates + If you also want to center at zero, the options for ``center_type`` are ``mean`` or ``min_max``. + Set ``scale_radius`` to a value to scale to a specific radius. + Warning: This overwrites the original coordinates. """ self.coordinates = self.get_PCA_coordinates() @@ -329,6 +366,10 @@ def set_PCA_coordinates(self, center_type=None, scale_radius=None): if scale_radius: self.set_scaled_coordinates(radius=scale_radius) + # ================ + # Functions for computing the function g(v) for vertices and edges + # ================ + def g_omega(self, theta): """ Function to compute the function :math:`g_\\omega(v)` for all vertices :math:`v` in the graph in the direction of :math:`\\theta \\in [0,2\\pi]` . This function is defined by :math:`g_\\omega(v) = \\langle \\texttt{pos}(v), \\omega \\rangle` . @@ -406,9 +447,9 @@ def sort_edges(self, theta, return_g=False): .. math :: - g_\\omega(e) = \\max \{ g_\\omega(v) \\mid v \in e \} + g_\\omega(e) = \\max \\{ g_\\omega(v) \\mid v \in e \\} - in the direction of :math:`\\theta \in [0,2\\pi]` . + in the direction of :math:`\\theta \\in [0,2\\pi]` . Parameters: theta (float): @@ -433,7 +474,7 @@ def sort_edges(self, theta, return_g=False): def lower_edges(self, v, omega): """ - Function to compute the number of lower edges of a vertex v for a specific direction (included by the use of sorted v_list). + Function to compute the number of lower edges of a vertex `v` for a specific direction (included by the use of sorted `v_list`). Parameters: v (str): @@ -450,26 +491,20 @@ def lower_edges(self, v, omega): Lg = [np.dot(self.coordinates[v], omega) for v in L] return sum(n >= gv for n in Lg) # includes possible duplicate counts - def get_all_angles(self, returntype='matrix', - num_rounding_digits=None, - edges_only=False, - opposites=False): + # ================ + # Functions for getting the angles where vertices switch order + # ================ + + def get_all_normals_matrix(self, num_rounding_digits=None): """ - Function to get all angles of normals to any line between veritces in the graph. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order. + Function to get all angles of normals to any line between vertices in the graph, returned as a matrix. Note this includes both adjacent vertices and non-adjacent. This function is useful for knowing the angle of the circle where two vertices switch in order. Parameters: - returntype (str): - The return type of the angles. Options are 'matrix' or 'dict'. If 'matrix', returns a tuple consissting of a matrix of angles and the sorted label list for the rows/columns. If 'dict', returns a dictionary of angles with `dict['A','B']` returning the angle normal to the vector :math:`\\overrightarrow{AB}`. - rounding_digits (int): - The number of digits to round the angles in either the matrix or the keys of the dictionary. - edges_only (bool): - If True, the dictionary version only returns the angle of the normals to the lines between vertices sharing an edge. The matrix version is unchanged. - opposites (bool): - If True, will also include the opposite angle in the dictionary. + num_rounding_digits (int): + The number of digits to round the angles in the matrix. If `None`, no rounding is done. Returns: - list: A list of angles of the vertices in the graph. - + A tuple consissting of a matrix of angles, and the sorted label list for the rows/columns. """ P = np.array(list(self.coordinates.values())) labels = list(self.coordinates.keys()) @@ -496,66 +531,83 @@ def get_all_angles(self, returntype='matrix', if num_rounding_digits != None: angle_matrix = np.round(angle_matrix, num_rounding_digits) - if returntype == 'matrix': - return angle_matrix, labels - - elif returntype == 'dict': - angle_dict = {} - for i in range(len(labels)): - for j in range(i+1, len(labels)): - # Skip this edge if edges_only is True and the vertices are not connected - if edges_only and not self.has_edge(labels[i], labels[j]): - continue - - if angle_matrix[i, j] in angle_dict.keys(): - angle_dict[angle_matrix[i, j]].append( - (labels[i], labels[j])) - elif angle_matrix[j, i] in angle_dict.keys(): - angle_dict[angle_matrix[j, i]].append( - (labels[j], labels[i])) - else: - angle_dict[angle_matrix[i, j]] = [ - (labels[i], labels[j])] - - if opposites: - for key in list(angle_dict.keys()): - other_key = key + np.pi % (2*np.pi) - if num_rounding_digits != None: - other_key = round(other_key, num_rounding_digits) - angle_dict[other_key] = angle_dict[key] - - # Make sure all keys are in the range [0, 2pi] - angle_dict = {key % (2*np.pi): value for key, - value in angle_dict.items()} - - # Make sure all keys are rounded to the correct number of digits - if num_rounding_digits != None: - angle_dict = {round(key, num_rounding_digits) : value for key, value in angle_dict.items()} - - return angle_dict + return angle_matrix, labels + + def get_normals_dict(self, + num_rounding_digits=None, + edges_only=False, + opposites=False): + """ + Function to get all angles of normals to any line between vertices in the graph, returned as a dictionary of angles with ``dict[theta]`` returning the list of pairs of vertices with vector normal to :math:`\\overrightarrow{AB}` at angle ``theta``. Note this includes both adjacent vertices and non-adjacent unless ``edges_only`` is set to ``True``. This function is useful for knowing the angle of the circle where two vertices switch in order, especially when we want to sort the events around the circle. All angles are rounded to the number of digits given by ``num_rounding_digits``, and are returned in the range :math:`[0, 2\\pi]` . + + Parameters: + num_rounding_digits (int): + The number of digits to round the angles in the dictionary. If None, no rounding is done. + edges_only (bool): + If True, the dictionary version only returns the angle of the normals to the lines between vertices sharing an edge. The matrix version is unchanged. + opposites (bool): + If True, will also include both :math:`\\theta` and :math:`\\theta + \\pi` in the dictionary keys. + + Returns: + dict: A dictionary of angles with `dict[theta]` returning the list of pairs of vertices with vector normal to :math:`\\overrightarrow\\{AB\\}` at angle `theta`, e.g. ``dict[theta] = [('A','B'), ('C', 'D')]``. + """ + + angle_matrix, labels = self.get_all_normals_matrix( + num_rounding_digits=num_rounding_digits) + + angle_dict = {} + for i in range(len(labels)): + for j in range(i+1, len(labels)): + # Skip this edge if edges_only is True and the vertices are not connected + if edges_only and not self.has_edge(labels[i], labels[j]): + continue + + if angle_matrix[i, j] in angle_dict.keys(): + angle_dict[angle_matrix[i, j]].append( + (labels[i], labels[j])) + elif angle_matrix[j, i] in angle_dict.keys(): + angle_dict[angle_matrix[j, i]].append( + (labels[j], labels[i])) + else: + angle_dict[angle_matrix[i, j]] = [ + (labels[i], labels[j])] + + if opposites: + for key in list(angle_dict.keys()): + other_key = key + np.pi % (2*np.pi) + if num_rounding_digits != None: + other_key = round(other_key, num_rounding_digits) + angle_dict[other_key] = angle_dict[key] + # Make sure all keys are in the range [0, 2pi] + angle_dict = {key % (2*np.pi): value for key, + value in angle_dict.items()} + + # Make sure all keys are rounded to the correct number of digits + if num_rounding_digits != None: + angle_dict = {round(key, num_rounding_digits) : value for key, value in angle_dict.items()} + + return angle_dict + + # ================ + # Plotting functions + # ================ def plot(self, bounding_circle=False, - bounding_center_type='origin', color_nodes_theta=None, ax=None, with_labels=True, - angle_labels_circle=False, - edges_only=False, **kwargs): """ Function to plot the graph with the embedded coordinates. - If ``bounding_circle`` is True, a bounding circle is drawn around the graph. This is centered at the center type defined by ``bounding_center_type``. - - If ``color_nodes_theta`` is not None, it should be given as a theta in :math:`[0,2\\pi]`. Then the nodes are colored according to the :math:`g(v)` values in the direction of theta. - - If with_labels is True, the nodes are labeled with their names. + If ``bounding_circle`` is True, a bounding circle is drawn around the graph. - If ``ax`` is not None, the plot is drawn on the given axis. + If ``color_nodes_theta`` is not ``None``, it should be given as a :math:`theta` in :math:`[0,2\\pi]`. Then the nodes are colored according to the :math:`g(v)` values in the direction of :math:`\\theta`. - If `angle_labels_circle` is True, the angles of the normals to the lines between vertices are plotted on a slightly larger circle circle around the graph. If additionally, `edges_only` is True, only hash marks for pairs of vertices sharing an edge are plotted. + If ``with_labels`` is ``True``, the nodes are labeled with their names. + If ``ax`` is not ``None``, the plot is drawn on the given axis. """ if ax is None: fig, ax = plt.subplots() @@ -583,98 +635,95 @@ def plot(self, labelleft=True, labelbottom=True) if bounding_circle: - circle_center = self.get_center(bounding_center_type) - r = self.get_bounding_radius(type=bounding_center_type) - circle = plt.Circle(circle_center, r, fill=False, - linestyle='--', color='r') - ax.add_patch(circle) - - # Always adjust the plot limits to show the full graph - ax.set_xlim(circle_center[0] - r, circle_center[0] + r) - ax.set_ylim(circle_center[1] - r, circle_center[1] + r) - - if angle_labels_circle: - circle_center = self.get_center(type='min_max') - r = 1.3 * self.get_bounding_radius(type='min_max') - circle = plt.Circle(circle_center, r, fill=False, - linestyle='--', color='black') - ax.add_patch(circle) - - # Get all the angles with the labels to be drawn - angles_dict = self.get_all_angles( - returntype='dict', edges_only=edges_only) - angles_dict_labels = {key: ', '.join( - [f"{a[0]}{a[1]}" for a in value]) for key, value in angles_dict.items()} - - # Draw hash marks on the circle - hash_length = 0.1*r # Length of the hash marks - for theta in angles_dict_labels.keys(): - for angle in [theta, (theta + np.pi) % (2*np.pi)]: - x_start = circle_center[0] + \ - (r-hash_length) * np.cos(angle) - y_start = circle_center[1] + \ - (r-hash_length) * np.sin(angle) - x_end = circle_center[0] + \ - (r + hash_length) * np.cos(angle) - y_end = circle_center[1] + \ - (r + hash_length) * np.sin(angle) - ax.plot([x_start, x_end], [y_start, y_end], color='black') - - # Add labels near the hash marks - scaling = 3 - label_x = circle_center[0] + \ - (r + scaling * hash_length) * np.cos(angle) - label_y = circle_center[1] + \ - (r + scaling * hash_length) * np.sin(angle) - text_angle = angle if angle <= np.pi/2 or angle >= 3*np.pi/2 else angle - np.pi - ax.text(label_x, label_y, - angles_dict_labels[theta], ha='center', va='center', rotation=np.degrees(text_angle), fontsize=8) - # Always adjust the plot limits to show the full graph - scale_factor = 1.5 - ax.set_xlim(circle_center[0] - scale_factor*r, - circle_center[0] + scale_factor*r) - ax.set_ylim(circle_center[1] - scale_factor*r, - circle_center[1] + scale_factor*r) + self.plot_bounding_circle(ax=ax) + ax.set_aspect('equal', 'box') return ax - def rescale_to_unit_disk(self, preserve_center=True, center_type='origin'): + def plot_bounding_circle(self, ax=None, bounding_center_type='origin', **kwargs): """ - Rescales the graph coordinates to fit within a radius 1 disk. + Function to plot the bounding circle of the graph. - Parameters: - preserve_center (bool): If True, maintains the current center point of type ``center_type``. - If False, centers the graph at (0, 0). + If ``ax`` is not None, the plot is drawn on the given axis. + + If ``bounding_center_type`` is 'origin', the bounding circle is centered at the origin. If it is ``min_max``, the bounding circle is centered at the mean of the min and max values of the :math:`x` and :math`y` coordinates. - Returns: - self: Returns the instance for method chaining. - Raises: - ValueError: If the graph has no coordinates or all coordinates are identical. """ - if not self.coordinates: - raise ValueError("Graph has no coordinates to rescale.") + if ax is None: + fig, ax = plt.subplots() + else: + fig = ax.get_figure() - center = self.get_center(center_type) - coords = np.array(list(self.coordinates.values())) + circle_center = self.get_center(bounding_center_type) + r = self.get_bounding_radius(type=bounding_center_type) + circle = plt.Circle(circle_center, r, fill=False, + linestyle='--', color='r') + ax.add_patch(circle) - coords_centered = coords - center + # Always adjust the plot limits to show the full graph + ax.set_xlim(circle_center[0] - r, circle_center[0] + r) + ax.set_ylim(circle_center[1] - r, circle_center[1] + r) - max_distance = np.max(np.linalg.norm(coords_centered, axis=1)) + def plot_angle_circle(self, ax=None, edges_only=False): + """ + Function to plot the circle of angles for the graph. - if np.isclose(max_distance, 0): - raise ValueError("All coordinates are identical. Cannot rescale.") + Example Usage: - scale_factor = 1 / max_distance + .. code-block:: python - new_coords = (coords_centered * scale_factor) + \ - (center if preserve_center else 0) + fig, ax = plt.subplots() + G.plot(ax = ax) + G.plot_angle_circle(ax = ax) - for vertex, new_coord in zip(self.coordinates.keys(), new_coords): - self.coordinates[vertex] = tuple(new_coord) + """ + if ax is None: + fig, ax = plt.subplots() + else: + fig = ax.get_figure() - return self + circle_center = self.get_center(type='min_max') + r = 1.3 * self.get_bounding_radius(type='min_max') + circle = plt.Circle(circle_center, r, fill=False, + linestyle='--', color='black') + ax.add_patch(circle) + + # Get all the angles with the labels to be drawn + angles_dict = self.get_normals_dict( + edges_only=edges_only, opposites=True) + angles_dict_labels = {key: ', '.join( + [f"{a[0]}{a[1]}" for a in value]) for key, value in angles_dict.items()} + + # Draw hash marks on the circle + hash_length = 0.1*r # Length of the hash marks + for angle in angles_dict_labels.keys(): + x_start = circle_center[0] + \ + (r-hash_length) * np.cos(angle) + y_start = circle_center[1] + \ + (r-hash_length) * np.sin(angle) + x_end = circle_center[0] + \ + (r + hash_length) * np.cos(angle) + y_end = circle_center[1] + \ + (r + hash_length) * np.sin(angle) + ax.plot([x_start, x_end], [y_start, y_end], color='black') + + # Add labels near the hash marks + scaling = 3 + label_x = circle_center[0] + \ + (r + scaling * hash_length) * np.cos(angle) + label_y = circle_center[1] + \ + (r + scaling * hash_length) * np.sin(angle) + text_angle = angle if angle <= np.pi/2 or angle >= 3*np.pi/2 else angle - np.pi + ax.text(label_x, label_y, + angles_dict_labels[angle], ha='center', va='center', rotation=np.degrees(text_angle), fontsize=8) + # Always adjust the plot limits to show the full graph + scale_factor = 1.5 + ax.set_xlim(circle_center[0] - scale_factor*r, + circle_center[0] + scale_factor*r) + ax.set_ylim(circle_center[1] - scale_factor*r, + circle_center[1] + scale_factor*r) def create_example_graph(centered=True, center_type='min_max'): diff --git a/tests/test_embed_graph.py b/tests/test_embed_graph.py index 2115256..ec5bc36 100644 --- a/tests/test_embed_graph.py +++ b/tests/test_embed_graph.py @@ -100,7 +100,7 @@ def test_add_cycle(self): def test_get_angles(self): # Make sure we can get the angles of the vertices G = embed_graph.create_example_graph(centered=False) - M,L = G.get_all_angles(returntype = 'matrix') + M,L = G.get_all_normals_matrix() self.assertEqual( M.shape, (6, 6)) # Check that all entries in the matrix are between 0 and 2pi other @@ -110,7 +110,7 @@ def test_get_angles(self): self.assertTrue( np.nanmax(M) <= 2*np.pi) # Check that all keys in dictionary have the same property - M_dict = G.get_all_angles(returntype='dict', opposites = True) + M_dict = G.get_normals_dict(opposites = True) keys = list(M_dict.keys()) self.assertTrue( all([0 <= x <= 2*np.pi for x in keys])) @@ -118,7 +118,7 @@ def test_get_angles(self): #---- # Check that the values the dictionary show up in pairs # when asking for opposites - M_dict = G.get_all_angles(returntype='dict',opposites=True) + M_dict = G.get_normals_dict(opposites=True) vals = list(M_dict.values()) # Convert to strings to make this hashable for the counter

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