diff --git a/.gitignore b/.gitignore index 97d79731..996fc5d8 100644 --- a/.gitignore +++ b/.gitignore @@ -2,6 +2,11 @@ docs/equations/*.aux docs/equations/*.log docs/equations/*.out docs/equations/*.synctex.gz +code/ch12/mnist +code/datasets/mnist/t10k-images-idx3-ubyte +code/datasets/mnist/t10k-labels-idx1-ubyte +code/datasets/mnist/train-images-idx3-ubyte +code/datasets/mnist/train-labels-idx1-ubyte .ipynb_checkpoints .DS_Store diff --git a/README.md b/README.md index 119d9894..13ce8fd4 100644 --- a/README.md +++ b/README.md @@ -1,35 +1,49 @@ -# python-machine-learning-book - -#### Python Machine Learning* code repository. +# Python Machine Learning book code repository [![Google Group](https://img.shields.io/badge/-Google%20Group-lightgrey.svg)](https://groups.google.com/forum/#!forum/python-machine-learning-reader-discussion-board) +--- + +#### IMPORTANT NOTE (09/21/2017): + +This GitHub repository contains the code examples of the **1st Edition** of Python Machine Learning book. If you are looking for the code examples of the **2nd Edition**, please refer to [this](https://github.com/rasbt/python-machine-learning-book-2nd-edition#whats-new-in-the-second-edition-from-the-first-edition) repository instead. + +--- What you can expect are 400 pages rich in useful material just about everything you need to know to get started with machine learning ... from theory to the actual code that you can directly put into action! This is not yet just another "this is how scikit-learn works" book. I aim to explain all the underlying concepts, tell you everything you need to know in terms of best practices and caveats, and we will put those concepts into action mainly using NumPy, scikit-learn, and Theano. You are not sure if this book is for you? Please checkout the excerpts from the [Foreword](./docs/foreword_ro.pdf) and [Preface](./docs/preface_sr.pdf), or take a look at the [FAQ](#faq) section for further information. + + --- [![](./images/pymle_cover_double_small.jpg)](https://www.amazon.com/Python-Machine-Learning-Sebastian-Raschka/dp/1783555130/ref=sr_1_1?ie=UTF8&qid=1470882464&sr=8-1&keywords=python+machine+learning) -
-1st edition, published September 23rd 2015
+1st edition, published September 23rd 2015
Paperback: 454 pages
Publisher: Packt Publishing
Language: English
ISBN-10: 1783555130
ISBN-13: 978-1783555130
Kindle ASIN: B00YSILNL0
+
+ +[![](./images/CRBadgeNotableBook.jpg)](http://www.computingreviews.com/recommend/bestof/notableitems.cfm?bestYear=2016) + +
+ German ISBN-13: 978-3958454224
Japanese ISBN-13: 978-4844380603
Italian ISBN-13: 978-8850333974
-Chinese ISBN-13: 978-9864341405
+Chinese (traditional) ISBN-13: 978-9864341405
+Chinese (mainland) ISBN-13: 978-7111558804
Korean ISBN-13: 979-1187497035
-
+Russian ISBN-13: 978-5970604090
+ ## Table of Contents and Code Notebooks @@ -60,10 +74,33 @@ Simply click on the `ipynb`/`nbviewer` links next to the chapter headlines to vi
+#### Equation Reference -- Equation Reference [[PDF](./docs/equations/pymle-equations.pdf)] [[TEX](./docs/equations/pymle-equations.tex)] +[[PDF](./docs/equations/pymle-equations.pdf)] [[TEX](./docs/equations/pymle-equations.tex)] + +#### Slides for Teaching + +A big thanks to [Dmitriy Dligach](dmitriydligach) for sharing his slides from his machine learning course that is currently offered at [Loyola University Chicago](http://www.luc.edu/cs/). + +- [https://github.com/dmitriydligach/PyMLSlides](https://github.com/dmitriydligach/PyMLSlides) +- + + + +#### Additional Math and NumPy Resources + +Some readers were asking about Math and NumPy primers, since they were not included due to length limitations. However, I recently put together such resources for another book, but I made these *chapters* freely available online in hope that they also serve as helpful background material for this book: + + +- Algebra Basics [[PDF](https://sebastianraschka.com/pdf/books/dlb/appendix_b_algebra.pdf)] [[EPUB](https://sebastianraschka.com/pdf/books/dlb/appendix_b_algebra.epub)] + +- A Calculus and Differentiation Primer [[PDF](https://sebastianraschka.com/pdf/books/dlb/appendix_d_calculus.pdf)] [[EPUB](https://sebastianraschka.com/pdf/books/dlb/appendix_d_calculus.epub)] + +- Introduction to NumPy [[PDF](https://sebastianraschka.com/pdf/books/dlb/appendix_f_numpy-intro.pdf)] [[EPUB](https://sebastianraschka.com/pdf/books/dlb/appendix_f_numpy-intro.epub)] [[Code Notebook](https://github.com/rasbt/deep-learning-book/blob/master/code/appendix_f_numpy-intro/appendix_f_numpy-intro.ipynb)] + + --- @@ -140,7 +177,10 @@ If you need help to decide whether this book is for you, check out some of the " - [Italian translation](https://www.amazon.it/learning-Costruire-algoritmi-generare-conoscenza/dp/8850333978/) via "Apogeo" - [German translation](https://www.amazon.de/Machine-Learning-Python-mitp-Professional/dp/3958454224/) via "mitp Verlag" - [Japanese translation](http://www.amazon.co.jp/gp/product/4844380605/) via "Impress Top Gear" -- [Chinese translation](https://taiwan.kinokuniya.com/bw/9789864341405) +- [Chinese translation (traditional Chinese)](https://taiwan.kinokuniya.com/bw/9789864341405) +- [Chinese translation (simple Chinese)](https://book.douban.com/subject/27000110/) +- [Korean translation](http://www.kyobobook.co.kr/product/detailViewKor.laf?mallGb=KOR&ejkGb=KOR&barcode=9791187497035) via "Kyobo" +- [Polish translation](https://www.amazon.de/Python-Uczenie-maszynowe-Sebastian-Raschka/dp/8328336138/ref=sr_1_11?ie=UTF8&qid=1513601461&sr=8-11&keywords=sebastian+raschka) via "Helion" --- @@ -201,7 +241,10 @@ I have set up a separate library, [`mlxtend`](http://rasbt.github.io/mlxtend/), [![](./images/pymle-cover_de.jpg)](https://www.amazon.de/Machine-Learning-Python-mitp-Professional/dp/3958454224/) [![](./images/pymle-cover_jp.jpg)](http://www.amazon.co.jp/gp/product/4844380605/) [![](./images/pymle-cover_cn.jpg)](https://taiwan.kinokuniya.com/bw/9789864341405) +[![](./images/pymle-cover_cn_mainland.jpg)](https://book.douban.com/subject/27000110/) [![](./images/pymle-cover_kr.jpg)](http://www.kyobobook.co.kr/product/detailViewKor.laf?ejkGb=KOR&mallGb=KOR&barcode=9791187497035&orderClick=LEA&Kc=) +[![](./images/pymle-cover_ru.jpg)](http://www.ozon.ru/context/detail/id/140152222/) +[![](./images/pymle-cover_pl.jpg)](https://www.amazon.de/Python-Uczenie-maszynowe-Sebastian-Raschka/dp/8328336138/ref=sr_1_11?ie=UTF8&qid=1513601461&sr=8-11&keywords=sebastian+raschka)
@@ -303,7 +346,7 @@ starting to gather some of these great applications, and I'd be more than happy - [Does regularization in logistic regression always results in better fit and better generalization?](./faq/regularized-logistic-regression-performance.md) - [What is the major difference between naive Bayes and logistic regression?](./faq/naive-bayes-vs-logistic-regression.md) - [What exactly is the "softmax and the multinomial logistic loss" in the context of machine learning?](./faq/softmax.md) -- [What is the relation between Loigistic Regression and Neural Networks and when to use which?](./faq/logisticregr-neuralnet.md) +- [What is the relation between Logistic Regression and Neural Networks and when to use which?](./faq/logisticregr-neuralnet.md) - [Logistic Regression: Why sigmoid function?](./faq/logistic-why-sigmoid.md) - [Is there an analytical solution to Logistic Regression similar to the Normal Equation for Linear Regression?](./faq/logistic-analytical.md) diff --git a/code/bonus/scikit-model-to-json.ipynb b/code/bonus/scikit-model-to-json.ipynb index 36f4ade2..14a7be3c 100644 --- a/code/bonus/scikit-model-to-json.ipynb +++ b/code/bonus/scikit-model-to-json.ipynb @@ -19,9 +19,7 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -96,9 +94,7 @@ { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -116,7 +112,7 @@ "from sklearn.linear_model import LogisticRegression \n", "from sklearn.datasets import load_iris\n", "import matplotlib.pyplot as plt\n", - "from mlxtend.evaluate import plot_decision_regions\n", + "from mlxtend.plotting import plot_decision_regions\n", "\n", "iris = load_iris()\n", "y, X = iris.target, iris.data[:, [0, 2]] # only use 2 features\n", @@ -151,9 +147,7 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -193,9 +187,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import json\n", @@ -214,9 +206,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -241,9 +231,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -261,9 +249,7 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "attr_dict = {i: getattr(lr, i) for i in attrs}" @@ -279,9 +265,7 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -301,9 +285,7 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "with open('./sckit-model-to-json/attributes.json', 'w', encoding='utf-8') as outfile: \n", @@ -324,9 +306,7 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -379,9 +359,7 @@ { "cell_type": "code", "execution_count": 12, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import codecs\n", @@ -404,9 +382,7 @@ { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -424,7 +400,7 @@ "from sklearn.linear_model import LogisticRegression \n", "from sklearn.datasets import load_iris\n", "import matplotlib.pyplot as plt\n", - "from mlxtend.evaluate import plot_decision_regions\n", + "from mlxtend.plotting import plot_decision_regions\n", "import numpy as np\n", "\n", "iris = load_iris()\n", @@ -462,9 +438,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.6.0" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/code/bonus/softmax-regression.ipynb b/code/bonus/softmax-regression.ipynb index fe61160c..9c27d3c5 100644 --- a/code/bonus/softmax-regression.ipynb +++ b/code/bonus/softmax-regression.ipynb @@ -19,9 +19,7 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -152,9 +150,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -191,9 +187,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -242,9 +236,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -284,9 +276,7 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -320,9 +310,7 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -368,9 +356,7 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -405,9 +391,7 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -428,9 +412,7 @@ { "cell_type": "code", "execution_count": 12, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -513,9 +495,7 @@ { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "# Sebastian Raschka 2016\n", @@ -782,9 +762,7 @@ { "cell_type": "code", "execution_count": 14, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -809,7 +787,7 @@ ], "source": [ "from mlxtend.data import iris_data\n", - "from mlxtend.evaluate import plot_decision_regions\n", + "from mlxtend.plotting import plot_decision_regions\n", "import matplotlib.pyplot as plt\n", "\n", "# Loading Data\n", @@ -844,9 +822,7 @@ { "cell_type": "code", "execution_count": 15, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -896,9 +872,7 @@ { "cell_type": "code", "execution_count": 16, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -923,9 +897,7 @@ { "cell_type": "code", "execution_count": 17, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -953,9 +925,7 @@ { "cell_type": "code", "execution_count": 18, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -980,7 +950,7 @@ ], "source": [ "from mlxtend.data import iris_data\n", - "from mlxtend.evaluate import plot_decision_regions\n", + "from mlxtend.plotting import plot_decision_regions\n", "from mlxtend.classifier import SoftmaxRegression\n", "import matplotlib.pyplot as plt\n", "\n", @@ -1023,9 +993,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.6.0" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/code/ch01/README.md b/code/ch01/README.md index 4edfd30b..998ee8f2 100644 --- a/code/ch01/README.md +++ b/code/ch01/README.md @@ -93,7 +93,7 @@ The version numbers of the major Python packages that were used for writing this ## Python/Jupyter Notebook -Some readers weere wondering about the `.ipynb` of the code files -- these files are IPython notebooks. I chose IPython notebooks over plain Python `.py` scripts, because I think that they are just great for data analysis projects! IPython notebooks allow us to have everything in one place: Our code, the results from executing the code, plots of our data, and documentation that supports the handy Markdown and powerful LaTeX syntax! +Some readers were wondering about the `.ipynb` of the code files -- these files are IPython notebooks. I chose IPython notebooks over plain Python `.py` scripts, because I think that they are just great for data analysis projects! IPython notebooks allow us to have everything in one place: Our code, the results from executing the code, plots of our data, and documentation that supports the handy Markdown and powerful LaTeX syntax! ![](./images/ipynb_ex1.png) diff --git a/code/ch01/ch01.ipynb b/code/ch01/ch01.ipynb index 277139f5..ed0c7424 100644 --- a/code/ch01/ch01.ipynb +++ b/code/ch01/ch01.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Copyright (c) 2015, 2016 [Sebastian Raschka](sebastianraschka.com)\n", + "Copyright (c) 2015 - 2017 [Sebastian Raschka](sebastianraschka.com)\n", "\n", "https://github.com/rasbt/python-machine-learning-book\n", "\n", diff --git a/code/ch01/tests/test_notebooks.py b/code/ch01/tests/test_notebooks.py new file mode 100644 index 00000000..b1f6f6cb --- /dev/null +++ b/code/ch01/tests/test_notebooks.py @@ -0,0 +1,28 @@ +import unittest +import os +import subprocess +import tempfile +import watermark +import nbformat + + +def run_ipynb(path): + error_cells = [] + with tempfile.NamedTemporaryFile(suffix=".ipynb") as fout: + args = ["python", "-m", "nbconvert", "--to", + "notebook", "--execute", "--output", + "--ExecutePreprocessor.kernel_name", "python" + fout.name, path] + subprocess.check_output(args) + + +class TestNotebooks(unittest.TestCase): + + def test_appendix_g_tensorflow_basics(self): + this_dir = os.path.dirname(os.path.abspath(__file__)) + run_ipynb(os.path.join(this_dir, + '../appendix_g_tensorflow-basics.ipynb')) + + +if __name__ == '__main__': + unittest.main() diff --git a/code/ch02/ch02.ipynb b/code/ch02/ch02.ipynb index cc08abf0..d5b2143d 100644 --- a/code/ch02/ch02.ipynb +++ b/code/ch02/ch02.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Copyright (c) 2015, 2016 [Sebastian Raschka](sebastianraschka.com)\n", + "Copyright (c) 2015-2017 [Sebastian Raschka](sebastianraschka.com)\n", "\n", "https://github.com/rasbt/python-machine-learning-book\n", "\n", @@ -35,29 +35,24 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sebastian Raschka \n", - "last updated: 2016-10-12 \n", + "last updated: 2017-03-10 \n", "\n", - "CPython 3.5.2\n", - "IPython 5.1.0\n", - "\n", - "numpy 1.11.1\n", - "pandas 0.18.1\n", - "matplotlib 1.5.1\n" + "numpy 1.12.0\n", + "pandas 0.19.2\n", + "matplotlib 2.0.0\n" ] } ], "source": [ "%load_ext watermark\n", - "%watermark -a 'Sebastian Raschka' -u -d -v -p numpy,pandas,matplotlib" + "%watermark -a 'Sebastian Raschka' -u -d -p numpy,pandas,matplotlib" ] }, { @@ -120,9 +115,7 @@ { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -147,9 +140,7 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -174,9 +165,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -201,9 +190,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -243,9 +230,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -317,8 +302,7 @@ "source": [ "### Additional Note (1)\n", "\n", - "Please note that the learning rate η (eta) only has an effect on the classification outcome if the weights are initialized to non-zero values. If all the weights\n", - "are initialized to 0, only the scale of the weight vector, not the direction. To have the learning rate influence the classification outcome, the weights need to be initialized to non-zero values. The respective lines in the code that need to be changed to accomplish that are highlighted on below:\n", + "Please note that the learning rate η (eta) only has an effect on the classification outcome if the weights are initialized to non-zero values. If all the weights are initialized to 0, the learning rate parameter eta affects only the scale of the weight vector but not its direction. To have the learning rate influence the classification outcome, the weights need to be initialized to non-zero values. The respective lines in the code that need to be changed to accomplish that are highlighted on below:\n", "\n", "```python\n", " def __init__(self, eta=0.01, n_iter=50, random_seed=1): # add random_seed=1\n", @@ -522,9 +506,7 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -625,9 +607,7 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -733,15 +713,13 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -793,15 +771,13 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -840,9 +816,7 @@ { "cell_type": "code", "execution_count": 12, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from matplotlib.colors import ListedColormap\n", @@ -870,21 +844,21 @@ " for idx, cl in enumerate(np.unique(y)):\n", " plt.scatter(x=X[y == cl, 0], y=X[y == cl, 1],\n", " alpha=0.8, c=cmap(idx),\n", - " marker=markers[idx], label=cl)" + " edgecolor='black',\n", + " marker=markers[idx], \n", + " label=cl)" ] }, { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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MERHJL+WkckBjc0QkrxSkckBjc0QkrzITpJavWDHw/byODubNmNHA1oiISJpW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\nfN2rQwAAAABJRU5ErkJggg==\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -952,9 +926,7 @@ { "cell_type": "code", "execution_count": 14, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -979,9 +951,7 @@ { "cell_type": "code", "execution_count": 15, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1021,9 +991,7 @@ { "cell_type": "code", "execution_count": 16, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "class AdalineGD(object):\n", @@ -1099,15 +1067,13 @@ { "cell_type": "code", "execution_count": 17, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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q6htACYCXnGwJ89yngNvxZoB6WgCnisg0EflQRI6NarRJ6G9/g6lT4aWX4J57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\nIoXAsar6eyXHxHXFM3gw3H03vPuum7Z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eZ6RXAZU27U87hU/7t6PXqPnc8P4cPurbhrNqV/I6LGOKpNA9OKpqa8OYoPPT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\n7HUs+TOVd3u0tIkn+fB1qQbjJ5MTUxg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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1145,9 +1111,7 @@ { "cell_type": "code", "execution_count": 18, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1180,9 +1144,7 @@ { "cell_type": "code", "execution_count": 19, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "# standardize features\n", @@ -1194,15 +1156,13 @@ { "cell_type": "code", "execution_count": 20, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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PV9Y2HDMzsw55ktTiiLi25pGYmZl1kidJTZf0XbJ7olY9RyIi7qpZVGZmZuRL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\n9mc49XY07uuAL1fEtGOV9Wc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uWNH8RtA+jTzgXmxmNnClXIN6ff1CPsjrzuWEUw3Tp8Oz9yQkHYDFS7KkM3Zs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\nNzML+LGyAUp/HRG397Ld5yQ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PUnDooXDKKfDb38adREQk/RItUjvcfSNQYGYF7v4oEOmGh7LbrFnw85/Djh1xJxERSa9E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\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1259,9 +1219,7 @@ { "cell_type": "code", "execution_count": 21, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from numpy.random import seed\n", @@ -1371,15 +1329,13 @@ { "cell_type": "code", "execution_count": 22, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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6qD+3j6+nu4C/kjQG+CPwMeDjzQ3JWkVvBhWtlHwA2JL03Z+xFVZygjKrtaYm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\n9X6Vzs8CSX9X8vpVkr6u7Oa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bNrwM9dEmmt44+gzwaOORC/Yb/TDnfvvZjL25s4FVU6MW1D9Keq7BcpHG6Vun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\nvCTpkibrnVRWnMX2ljRfq+H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HZgBnRcSbSLrkp+RbVZduI/n5q/QPwH0R8UbgfuAf615V9zqreQFwWkSMB1ZT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\nM7PCckiZmVlhOaTMzKywHFJmZlZY/x8e94ONhwLWcwAAAABJRU5ErkJggg==\n", 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QThKpBlSpcEANjV0tbfze//8Iuw+8vgPFtPHV/HLeuUWoyszKTSn04rMR5qia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\nX2j+xOGpg/mTAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1422,14 +1378,12 @@ { "cell_type": "code", "execution_count": 23, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<__main__.AdalineSGD at 0x11537a898>" + "<__main__.AdalineSGD at 0x11218fac8>" ] }, "execution_count": 23, @@ -1480,9 +1434,7 @@ { "cell_type": "code", "execution_count": 24, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "class LogisticRegressionGD(object):\n", @@ -1583,16 +1535,14 @@ }, { "cell_type": "code", - "execution_count": 27, - "metadata": { - "collapsed": false - }, + "execution_count": 26, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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MvvmyDrcgaZo4gjFjwnSlz7RGjQoJqtCZQglKpL6kSVJfA34F3OPu95vZvsDa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\nPmAREamIxatXs3jNmm7XM3e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XAGVmv0rx/hfd/aTsmiMieSgFqVJwgqEZnNrawlVj6dhLV5ObbQbNzXm3buipdAX1FuCf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\nrwGXOjKz9wBHApP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QDsteD9UtavmwsAKUiIik09zM5c0VHhaO1S1mzcomFagAJSIi/dLl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\nSQFKREQKSQFKREQK6f8DFR6nYvKf+xwAAAAASUVORK5CYII=\n", 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HZCru8x8vekPZcl+4+CT+/M/aKpb70p2Vw/uDb51esdx1D26oWO5/nfdnFcv9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\nLCmgREQklhRQIiISSwooERGJpf8P0TDhn+wfB6wAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1635,7 +1585,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -1649,9 +1599,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.2" + "version": "3.6.1" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/code/ch03/ch03.ipynb b/code/ch03/ch03.ipynb index a26b4733..8904b9dc 100644 --- a/code/ch03/ch03.ipynb +++ b/code/ch03/ch03.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Copyright (c) 2015, 2016 [Sebastian Raschka](sebastianraschka.com)\n", + "Copyright (c) 2015 - 2017 [Sebastian Raschka](sebastianraschka.com)\n", "\n", "https://github.com/rasbt/python-machine-learning-book\n", "\n", @@ -44,21 +44,18 @@ "output_type": "stream", "text": [ "Sebastian Raschka \n", - "last updated: 2016-10-24 \n", + "last updated: 2017-03-10 \n", "\n", - "CPython 3.5.2\n", - "IPython 5.1.0\n", - "\n", - "numpy 1.11.1\n", - "pandas 0.18.1\n", - "matplotlib 1.5.1\n", - "sklearn 0.18\n" + "numpy 1.12.0\n", + "pandas 0.19.2\n", + "matplotlib 2.0.0\n", + "sklearn 0.18.1\n" ] } ], "source": [ "%load_ext watermark\n", - "%watermark -a 'Sebastian Raschka' -u -d -v -p numpy,pandas,matplotlib,sklearn" + "%watermark -a 'Sebastian Raschka' -u -d -p numpy,pandas,matplotlib,sklearn" ] }, { @@ -393,9 +390,13 @@ " plt.ylim(xx2.min(), xx2.max())\n", "\n", " for idx, cl in enumerate(np.unique(y)):\n", - " plt.scatter(x=X[y == cl, 0], y=X[y == cl, 1],\n", - " alpha=0.8, c=cmap(idx),\n", - " marker=markers[idx], label=cl)\n", + " plt.scatter(x=X[y == cl, 0], \n", + " y=X[y == cl, 1],\n", + " alpha=0.6, \n", + " c=cmap(idx),\n", + " edgecolor='black',\n", + " marker=markers[idx], \n", + " label=cl)\n", "\n", " # highlight test samples\n", " if test_idx:\n", @@ -410,6 +411,7 @@ " X_test[:, 1],\n", " c='',\n", " alpha=1.0,\n", + " edgecolor='black',\n", " linewidths=1,\n", " marker='o',\n", " s=55, label='test set')" @@ -431,9 +433,9 @@ "outputs": [ { "data": { - "image/png": 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a5OuLrW8SiQGQkJ1AC72600LJ3tGeYweOlTg9vJG5EfqG+urlqkwPX5dUdLp3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\nTC+71ceISJpb9t8i0iiCeMa6C9mtdeOKBR4CrnXrHisiA0V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NmsSxQ8eYvGwy9zx1D/0m9ANTmPnaTEL8Qkr74U16dhIRQRFcj7tOr7G9GL14NGcPnK2x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\ngw4YGmqSWI/iam53dzh48FOOHv0UR8c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B2z+BoDCzq/IbElAWFh0axAOXT+GVb51OSJCNm57fyB0vbuZQY7vZpQkh6g4Y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\n0N1hjJbTGh6eDIdLjmwTnW4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GlSz9fZ1HWQYySRkORVFYOHpPwQKLRNfU1nL2xRVtPj4+HNh3ACdPJ5Ljkhnx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\nzBLr/wHh17ZBepVDuAAAAABJRU5ErkJggg==\n", 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9yOyyPaitK7fi7OSMrkTX5GKC+ogo1B5U09JokYQQomvpt4YSrYYlv7vRS89f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\nCySazFgSvjcGKJZoDP8dvAuYLXG1GZ8CKoC/jB7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97D4RqYbNOzdz9YtXc/G8i9lZuDPsOCLl7Kmj3GR3Py82/8Pu3N2PTm20Mlm0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\nRU5ErkJggg==\n", 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RICUEEREBlBBEGsTMOprZ82b2lZkVmNl8Mzve77hEjobmMhI5SsEZ\nWV8BnnXOXRFcNhDoAHzuZ2wiR0MJQeTonQlU1Z510zm3xMd4RBpEp4xEjl4OUOB3ECKNRQlBREQA\nJQSRhlgGDPE7CJHGooQgcvT+CaSa2YQ9C8xsgJmd5mNMIkdNCUHkKDlvquBLgXOCw06XAb8CvvE3\nMpGjo+mvRUQEUAtBRESClBBERARQQhARkSAlBBERAZQQREQkSAlBREQAJQQREQlSQhAREQD+H4I+\nyQPMwNctAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -743,8 +745,8 @@ ], "source": [ "weights, params = [], []\n", - "for c in np.arange(-5, 5):\n", - " lr = LogisticRegression(C=10**c, random_state=0)\n", + "for c in np.arange(-5., 5.):\n", + " lr = LogisticRegression(C=10.**c, random_state=0)\n", " lr.fit(X_train_std, y_train)\n", " weights.append(lr.coef_[1])\n", " params.append(10**c)\n", @@ -861,9 +863,9 @@ "outputs": [ { "data": { - "image/png": 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ELp+7zLejvmXK0in4dPQpc1xVLr2qcvfV9ro+qc+xGwsVOikhxNiqbtamTX3g5ubG5x9/\nXuP7TU1N+fGbHzl9+jTZ2dkEBARgZWVVrT7i4+NZuHAhFhYWuLioVE+qPUcLGD26fOcoqR1yGrBu\nSbmWgud9nuXmyrP3sCc1PlVzbOduh1kTs3KPq8qlV1Xuvtpe1yf1OXZjocZrUkKI9bo3x3AwMjKi\nXbt2Nb7fy8urRtJ1Se2R04B1g1+AH2sWrGHcK+M06j6XFi6kxKeQEpeCk7dqCj0lPoX0pHRy7+SW\ne1xVLr3i6kF1NFK8fW2v65P6HLuxUGHGCUVR1PNbzsDDgFqj3Rs4IIQYon/zNLY0uIwTjYX6yjih\nS0JD4f43VgOqqAqQkZUOyMvNY0ibIbw2+zVs7G2Y/7kqV15KQgpJ0Uk4NHfAI8CDzGuZmjUode69\n0sfF12lOR5xm7cK1XIy+SDOXZjw+/nFMTE1Y8MWCctvD3XWfml7XJ/U5dkOixmmRFEX5A5gghLhS\ndNwc+FkI0V8vlpZvg3RS9URjcFJqovJPafICgpwG1AXRp6KZOnwqfm38aN+tPXHRcezftZ/xr40n\nOCS4UjVfeYq3tYvWsuDjBYx9eSwt27TkzPEzbFu1jU7dO/HaR69x49qNGqkFQb8KO0NWFjYUauOk\nooQQ/sWOjYDI4uf0jXRS9UdjclLFkbkBdUf2nWx2r9/NuZPnsLG3YVCwdumLSnM57jLBDwWzKmwV\ncTFxGkVcalIqaUlpTPtsGn2GqbaKGJJizpBsacjUJnffX4qi7AJWFR0HA3/q0jiJpK5RqwHvf2M1\nmyJliZDaYNHEgqFjhjJ0zNBa9bNl5RYGjxqMjZ1NGUXcvGfm8dvi3+gzrI9BKeYMyZbGSpVOSgjx\nkqIoI1DtiQJYKITYoF+zJBL9ExQERIwiKv8UKeHg2C2SGKR8vb5IvpJMy7Yty1XEOXo4cjXhKmBY\nijlDsqWxom3uvmPANiHE68AuRVGs9WiTRFKn+JsE4m8SiHPEKJkbsB7x9vPm1OFT5eYCTL6UjO/9\nvoD2lXrrAkOypbFSZSSlKMrzQAjgALQA3IH5wKP6NU0iqXvkNGDdc+n8JdYtXse5k+c4FnaMwC6B\nTH5rMgteV6n5bsTf4E7GHcZMHQNoX6m3LjAkWxor2ggn/gUeAA4JIToWnTslhAisA/vUNkjhRD3R\nWIUT2qCuFOzYTRVVyWlA3ZKZlsmGZRtY8tkSRk4cSet2rflz45/s3rAb39a+DB41mDPHznAk9AjP\n//d5RkwYUW21oD5tr6+xGyu1EU7kCCFyFUV1r6IoJkDd/9aaMwe6dy9aSKg9t2/fJjo6GltbW+67\n7z6d9ClpXPibFP0dFhEoNwXrmLDdYXw3+zuij0VzX+B9NLFqwspFK7F1taV1p9bERcXx09yfsG9u\nj5ufGzk5OUwNnlpGQad2CHWpsKtoLOmc9IM2a1J7FUX5H9BEUZS+wG/AFv2aVZYQ540QFgZLlmjV\nPiUlhfPnz3Pnzp0S5/Py8vjvf/+Lp6cnEyZMoHv37nTr1o1Dhw7p1F5fX98SNapqyrJly+jRo4cO\nLCqLkZERFy5c0EvfjQ1/k0DOfjWKzJvIwou1RK2I83rQi25PdyP4i2DW/LyGJz9/kgkLJzDmhzGY\nNDGheUBzZh6cyVOfPVXievDcYOZ/Pp/MtMwS/QXPDS73uj5sr4uxJCq0cVJvA9eBU8BkYLsQ4h29\nWlUeEycSMt0RkpNVUVVoaLnNLly4wPDhw2nRogUDBgzAw8ODadOmkZOTA8DkyZM5efIkJ06c4OTJ\nkyQmJvLKK68wZMgQIiNV0zpCCPbu3cvLL7/MpEmTWLZsWRlnV1cIIVBHsbpGX/02VoKCKCOu+Dte\nOqzqolbE5Wbl4tHGA7MmZti72+Po5QgU5fbzsCMzWfWLv/T14gq64v2Vp7DTl+11MZZEhTZOagyw\nWgjxlBDiSSHEIkVR6iwlUmlCpjsS0j1SFVWV4tq1a/Ts2ZOHHnqIpKQkYmNjOX78ODExMYwePZro\n6Gi2bt3K77//rinrbmxszDPPPMO0adP49NNPycvL46mnnmLy5Ml4enrStWtXVq9eTWBgIBcvXtTK\nxvHjxxMfH8/QoUOxsbHhiy++ACA8PJzu3btjb29Px44d2bt3r+aen3/+mRYtWmBjY0OLFi1YtWoV\nZ8+e5YUXXuDgwYNYW1vj4OBQ7njl3atm6dKlBAQE4OjoyMCBA0lISACgZ8+eCCFo164dNjY2/Pbb\nb9r9B5BooqrDs0ZxcbfKYUXmSDWgtqgVcRbWFsSfjCf3Ti5pSWmkxKcAqtx+aYlp2LmqUliVvl5Z\nbr7yruvDdqnmqzu0EU6kA5eA0UKIqKJzx4QQnXRigKIsAYYA14QQ5WZ0VRRFiAULyp6fPLmEcOLd\nd98lNTWVH3/8sUS73Nxc7r//fkaOHEl6ejqLFi0q01dSUhLt27fntddeY//+/WzevLlEeY25c+ey\nZs0awsPDtXouX19fli5dSu/evQG4fPky7dq1Y+XKlfTv35+//vqL4OBgzp07R5MmTWjevDlHjx7F\nz8+Pa9eukZqair+/P8uWLWPJkiWEVhA5ZmVlVXjvpk2bmDZtGlu3bsXPz49PPvmEbdu2EVbk4I2M\njIiNjcXX17fC57iXhRPaUjo3YGMTV6SnpLPxl42cOXYGaztrBo8aTMeHO9YqEg/bHcb3H3/PuYhz\n+Lb1pf/w/ppcfqmJqSRGJ6py//mXn/uvPnPzyVx8+qE2womLwERgnaIoM4UQv1F5IcTq8hPwHfBL\nbTvasmULCxcuLHPezMyMZ555hiNHjuDlVXHxQiEE8+bNY+fOnWXqP73yyit89913HDt2jE6dtPPP\nxR3oihUrGDx4MP37q1IePvroo3Tp0oXt27czcuRIjI2NOXXqFB4eHri4uGjKe2hDRfcuWLCA6dOn\na0rWv/3228yePZuEhARNJCnVkbWn+KbgxlYi5MShE7z61Kt079udnoN6knwlmRnPz6Brz66898N7\nGBlpu9WyJN37diewSyBbV21l3ofzSE1OZeTYkZw7eY5zYed48rkn+b83/q+EYm5UyKgKFXTq/upC\nYVeXY0m0m+4TQohjQE8gRFGULwCdlZgVQuwH0nTRV0FBAaampuVeMzU1xcfHh02bNpGVlVXm+sqV\nK+nXrx9paWkEBpZV1xsbG9OlSxeio6NrZFtcXBxr167FwcEBBwcH7O3tCQsL48qVK1haWrJmzRrm\nzZtH8+bNGTp0KOfOndOq3/LuVdsYFxfHq6++qhnT0dERRVFISpJrKPpAvSG4+LpVQ54GzMvN483R\nbzJr/ixmL5lNjwE9CBoYxNLdS4k+Hc3q+auJjYotIWCo7Lg0NvY2PPPiM6w9tBZrG2tCd4SSn5fP\n12u/5tUPX8XG3oYW/i00TqD0cXn9VXa9Omhje/GxqmovqTnaRFJXAIQQNxRF6Q98CrTVq1U1pF+/\nfqxZs6ZMpFNYWMjatWv5/vvvycvLY+TIkSxcuBBPT0/y8/NZu3Ytn3/+OXv27GHXrl1cunQJHx+f\nEn0IITh79izu7tr9ZVx6KsTT05Px48ezoJxpS4C+ffvSt29fcnJyeOeddwgJCWHv3r1aTamUvvf5\n559n7969eHp68u6778oii/WAelMwb6zWpFqChlUi5J9t/+Dt503PQT3LyK59W/vyzfvf0DW8a43L\nw6tp7tWcqe9PLfdafVBdObtMMKtftMndN7jY90JgWtGnTpm55a7qvVerVvRq3bpMm1deeYUHH3yQ\nNm3aMGbMGIyNjcnMzOStt97CycmJXr168cgjjzBjxgzat2+Ph4cHycnJ+Pr6snXrVgIDA5kwYQIf\nfPABS5YsKeEgNmzYQHZ2Nt27a/c/n6urKxcuXKBPH1XW5rFjx/LAAw8wcuRIHnvsMXJzczl06BAt\nW7bExMSE8PBwHnvsMSwsLLCystJMo7i4uJCYmEheXl65UWJycnKF906ZMkXzrAEBAWRkZLB7926e\nfPLJEjbKfWL6ofg0YNh1VYmQCNIbzDRgwoUEAjoHlEmievncZb5+6msEQifl4Q2J6iaMlQlma86R\nvUc4EnqkynaVVeb9WgjxmqIoWyhn864QYljtTKweM4dWnWHZx8eHXbt2ERISwjvvvIO3tzeRkZEM\nHjyYzZs3oygKpqamfPLJJ8yYMYPz589jY2NT4pf0rFmzePTRRxk0aBCTJ0/G1taWjRs3snr1arZs\n2aL1HPzbb7/Nyy+/zH/+8x/effdd3njjDY2QYfTo0ZiYmPDAAw8wb948CgsL+eqrr5gwYQKKotCh\nQwfmzZsHQJ8+fWjTpg2urq4YGxuTnJxcYpzK7h0+fDi3b99m1KhRxMfHY2trS9++fTVOaubMmYwf\nP57s7GwWLlyoOS/RLf4mgRAXCHF3KwWn+6UbfKolVw9Xjuw9Um55eAsbC0zNTTXHtSkPb0hUN2Gs\nTDBbc7r27ErXnl01x/Nnzy+3XWWR1PKin1/ozqwKUdCRGKNDhw4cPnyYqKgorl+/TuvWrcsVITRt\n2pQOHTqUOW9jY0NoaCgrV67kxx9/5M6dOwQFBXH06FE8PLSvkTNs2DCGDSvpx7t27co///xTbvuK\nzpuamrJlS8V7p11dXSu8F2DMmDGMGTOm3GshISGEhIRUeK9E9zSkacA+w/rw6VufcvnS5TIl0JNj\nknk0RJW+s7bl4Q2J6pZ7l+Xh9U+VEnS9G6AovwK9AEfgGvC+EOKnUm20kqBLdI+UoOuPhlAp+OCf\nB3n72bfp9EgnLsRcwMTChMSziTT3bI5VMytsXW2rXR7e0KmuxFxK0nVDtSvzKopyikpy9FW0p0kf\nSCdVf0gnVTckeO/E3CkdPz/Dy7iedCmJ3xb/xsnDJzE1M2XoM0MZGDyQK/FXiImMwa+NHx6+HkT9\nG8W/B/+lw0Md8O/gb3BJWKszfnVtre9nawzUxEl5F31Vy27U039jUcnS39a5lRUgnVT9IZ1U3dGQ\nNgWXVrR5e3tzcP9B7D3sSUtMI/jZYEL+G1Jh+7qONup7fEnVVHszrxAiDkBRlL7qEh1F/FdRlGOo\ncvpJJBIdUXpTcLqfahrQztiwHFZpRVtUaBRLXlzC5NWTcQtw43LUZZaMXcKgpwfh4etR7wq4+h5f\nUju0kaopiqJ0L3bwsJb3SSSSGqDODXhoRRsiD9oZ3Kbg0oq2nNs52HvY0/z+5gC4+bth525HTGRM\nue3rOilrfY8vqR3abOZ9DvhJURTbouP0onMSiURPqMqmqaTrocspoQbUd1SVl5fHP1v/IfJoJFY2\nVjz6+KOcP32eM8fPYG1rzSP9HymhaDNvak5aYhpXzl7RRFLpSen4tVGVNa5KAXcn6w5//P4HF85e\nwNHZkcGjBuPo4qiz56lq/My0TLav2c6VhCt4+HgwMHggVjZWOhtfUjsqdVKKohgBfkKI9monJYTI\nqBPLtMDb2VmWm9Azzs7eVTeS6JXS04DR1qppwFZuundY8bHxvDjsRZyaO/Fw34eJjYrl+5nf4+rh\nysiJI7mWdI3nBz5PjwE9WPP6mrtqvt49WDJuCXbudqQnpRP8bDAevqotG5WVWD95+CSvPf0aAZ0C\n6NCtA7FRsTze4XFe++g1npyom317lY3/16a/eH/K+zzS7xFatm3JoX8O8d3M75jz8xy5ZmUgaJMF\nPUII0aWO7KnIhnKFE3phyRIWJg8HZ2eYOLFuxpRItESdDN93nO7VgIWFhYzsPJLgKcE8/fwoEi7E\nMbHfRIaNG8aezX/z9PNP4eblhqOLI+9MfIfn//M8AZ0DNIq20uq+0pRWwGXdymJwm8G8/+P79Brc\ni8SLicRExmBpZcn/nvsfHyz8ABd3lwoVc1Up6qpSF8bHxjOu5zjmbZmHh4+H5tqFsxd45clXWHdk\nHc5uzjp5t5Kqqba6T9NAUT4BbgBrgNvq80KIVF0bWYkNdeekAEJDWRhW9A9/+vS6G1ciqQa6VgMe\n/PMgc9+Zy6oDa3imx1qSEr8jJysHa0cbcm+6kHX7LPc9cB9piWl07tqZG1dusHT3UqBm6rl1i9cR\ntjuMuWvmsvDThaz5eY1GHejs6ExSfBLterUrt7+qxtPGni/e/gITExO69uxapu3fW/6mmUszprwz\npVbvVKLF+IrNAAAgAElEQVQ9tSnVEVz0s3gGSAE03oRvQUGEBKGKquYgoyqJQaKeBkzw3kkE6bUu\nERJzJobOPTpzJT6J6ykL6TC8M0bGCm0HtuOXyUsxyjHipU0vcTnqMotGLyI3Q5VRoqbqOfV4iRcT\nWfPzGiaumIibvxtJp5P48ckfaWLVhAkLJ5Tpr6rxtLUnJjKGERNGlNv2iWeeIGx32cKqkrqnSpWe\nEMK3nE/jdVDFmThRVQVYXbJeIjFAPOMGaEqE5FyvuRrQztGOpEtJxETG4OBlj1sbN1LiU7G0a4J1\nM2usHFViAjd/NyztLWnStAlQc/Vc8fHsPexx83cDwNnPGUs7S5raNS23v6rG09Yee0d7zkeeL7ft\n+cjz2DnaVfsdSnSPVlJyRVHaKorytKIo49UffRtmMAQFqUrWO29UOaolS+rbIomkQjzjBnD2q1HE\nxMCmyEiS8rWvHdZnWB+OhR3D2MSY1Pg0nO5zIWb/ORJOJJAck8z9fe4HIOlMEtfOX2Pg0wOBmpdU\nHzJ6CNtWbcOumR1piWlcjroMwJWzV7hx6QZtH2tbbn9VjaetPcPGDmPn2p2kJqWWaJuWlMafG/5k\n6Jiqk1pL9I82a1Lvo8qtFwBsBwYC+4UQdZYyu87XpCph4ZwU1Zfu3dU6YYnEIFGnWgKwsdZODbhj\n7Q4+n/Y5RiYdyBVHUYwgLTENIyNzbFyb0NShKddjr+PQzIGN/27EsqklUPP8dT999RNrF66ldbvW\nHD96HAtbC27E3sDRyRFnX2dNbsDqlovXxh4hBB9M/YDD/xzGyNyIZt7NuH7pOnlZefQd0Ze3Pn1L\n63ctqT21EU6cAtoDx4uk6C7ACiFEX/2YWq4NBuOkAKkAlDQ4Erx3UmieiL1lOg95PVTpWtHpiNOs\n+H4lJ8L/xdjYmE7dO3H75m3OHD+DiYkJ/Z/qz3NvTcKyqYXmnsJCuJVRs/x14X+Fs2r+Ks6dPIdF\nEwuGjR3G+NfGk3Uzq1rqvepeB5Wj2rVuF2sWruHypct43ufJ6BdH02dYH7m9pY6pjZM6LIR4QFGU\no0Bv4CYQJYS4Xz+mlmuDYTmpImRUJWkoRJ7Zxfrt7+EUoJBxNYPnpo+l82OdaySwKCyE9ye7M/qF\nFAI6ZXPmmAWr5jkya0ESWpZbk0jKUBt1X4SiKHbAIuAocAs4qGP7GiQh0x1VUVUYcP68jKokBsnt\n22ns/Oc9JswLxtmnOUmXz7PkjVVk2brg4p5e7U3BRkYw+oUU5r7TnP4j09n1ux2vz74iHZREL2ij\n7ntRCJEuhJgP9AUmCCH+T/+mNRAmTlQ5K7UCUL3bUiIxEDIyrmDjaoOzjyq3nrtbSxwdmmP6z8Nc\nv1AzNWBAp2z6j0xn3VIH+o9MJ6BTtj5Ml0gqLR/fqbJrQohj+jGpYSKjKomhYmvbnMyrmSRfuoKz\nT3OSL10h81omtrbNaRoXUKPcgGeOWbDrdzuefC6VnetsMTbZT07OKWztbek5uKdGUCGR1JbK6kn9\nXfTVAugCnEBV4r0dECGEeKhOLMRw16QqQq5VSQyNyDO72PnPexq124BeH9AmoH+JNsULL0LFJUKK\nr0k5OF/ihaFvcjUxi4FPd+Jq4hVOHTnF9LnTGRQ8qC4eTdJIqI1wYj2qku6nio7bAjPvVQm61kgF\noMSAKCyEO3fSyMi4gq1tc5o0sS+xhlRYqFprCg0Fp4dP0dQ3CQuXinMDFhYCFBLcLZi+T/Tl2Tcm\nYWam6jD6dDRTBk/hq9Vf0eGhDnp7JlkNt3FRkZPSZqmztdpBAQghTgNls0dKSiLXqiQGQmEh/PIL\n3Lhhj5tbADdu2PPLL2pHc/d6XJwq8LdMCmTPhwOI+lK1Kfjv+LKbgo2M4MCfBzAyNmLitOf5cKon\nZ46pJOn5ue1w8/4Pv3y7vLQpOiNsdxhTg6cyd85cpgZPlSmMGjHaqPtOKoqyGFhRdDwGOKk/kxoX\nIdMdixLWIteqJPWCkRH07g3r10PnznD0KDzxBJpIqqLr3t5ocgNm3kwvUyLk9JHTPNLvEYyNlTJq\nv0n/7cLsV77Uy/PISrv3FtpEUv8HRAKvFn3OFJ2TaEtRaiUZVUnqC29vlQPat0/109tb++vqVEuH\nZ40qoQZsat2U1OuqYgil1X6Ozlf0VjhQVtq9t6gykhJCZANziz6SWiCjKomuSE2NJyYmDFNTC/z9\n+2JhUblDWLv2a/btW4qNjTVhYUuxtjYmL+8w5ubW+Ps/RmRkInv2HKFVKxuOHHkMb2+LEo5Ko/+J\nG6BRAzZ90Jtdc+bx0syXuJborlH77frdjj1b1mhy++maqirtShoX2ggnugMzAW+KObW6zITeIIUT\nVSAVgJKakJeXzcqVUzh5cgutW/chOzuTS5eOMHToLPr0eblM+4SEk8ye3QkhClAUY4QoRFVpx4jO\nnZ8kM/MKFy4cQghzWrceSEFBMgkJp3F3/5o33xxT6QbdBO+dHNiwhMg/D2LjPJMZHz+IreNFvnln\nBUf2nWbbmUXYOehn+q2muQIlhkttMk4sAV5HlW2iQNeG3auUiKrCwmRxRYlWrFo1lZycW3z0URyW\nlqro6fr1WL75ZgDW1s507Rpcov3s2R1RFCPefvs8Pj5+/PjjcG7cuEhS0kkyM69hbm5N+/bDuHDh\nIP36TSQgoB8JCSf47rtBREc35/77+wCQnw8mxX5b5OeDw5kHsUzywqfZARJSv+D/+sXS1NaSIU8P\nYVuk/hwUQPe+3QnsEijVffcA2qxJZQghdgghkoUQKeqP3i27F1CvVYFcq5JUSVpaEsePb2DcuJ9Y\nu9aKuDjV+aysFjRr9gM7d5asebZ9+2yEKGTGjIvMmePH3LlnuHTpMI6OR4BOnD+/l6Skkzz22CoK\nCj5n48ZPASgsbI+T0yfs2vUZoHJIM2dCeLiq3/Bw+N//djFv2QCu5r1KWvYiuvqPo7lPJ1p09+fI\n8WOEHvlH7+/Dxt6GFv4tpINq5GgTSf2tKMrnwHogR31SZpzQHTKqkmjDxYvhtGzZA0tL6zJqvBEj\nHuOLL6LJzr6lWZ86cGAZRkbGuLl50KED/PvvfkxMBnDypBn33beNCxeaY2vbj82bTRg+/HFWrHiW\n0FBVf8OGDeP771Wl001MYMgQWLMGIiPh1Kk0mnm+x9NfqnIBxp2K5ZdXvyVk8TRc7nMn6fJ5lk5b\nUZQb0IreXmX3WUkk2qJNJPUgqowTHwNfFn2+0KdR9yQyqpJUgZmZJXfuZABl1XiurrcBgbGxaYn2\nhUWboV54AczNLcnPz6BpUxg4MAKAy5fT6dwZ2rZNx8Skiaa/Zs3SMTO7m9qoWzdo2xb+/Rf8/K7g\n4ns3F6C5hTl2HvY4eDoAqtyADrYemtyAmyIja1QpWCIB7RLM9i7n06cujLsXCZnuqCpZHxYmS9bf\nQ2RlpXP69A6iov4kL6/8ZK2tW/fm8uVILl+OJC5OFfH06KH6uWXLEtq2HYSpqbmm/dix8wDB33//\nwLx5kJMzGNjD7dsJzJs3DtVEyh7Cwy+zbNlnmJp2o3XrfUREFLBu3ef4+DxATMx+CgsLCA+H06eh\nQweIiWnOtYuqXIAAOdk5pCemkZqgkqMXzw3oGTeAlPA2FW4Kroi4mDj2bt/LmWNnqErcJWncVKnu\nA1AUZTDQBlUePwCEEB/o0a7S4zc6dZ9WqFMrSQVgo6WwsIBNm94lNHQ+Xl6dycvL5tq1cwwb9gE9\ne75Qpn1Y2FK2bp2Fk9O3jBgxBFfXW2zZspjQ0M94++09eHiUnFr7z3/cyMi4AvSmbdvt2Nm9yv79\ni4FCevb8EguLZP7882sKCnLx9HyEgoJUrl6NprAwj5Yte3HnThpZWenk5//IyJGD6NZNtSa1fv0u\nnH3ew7ZIXefvO4yoi5u1zg1YUV7AG1dv8O7z73Lu5DkCOgYQHxOPeRNzPljwAQGdAnT56iUGRm1y\n980HLFEVPFwMPAkcFkLU2Safe9ZJQdFaVdEvHrlW1ejYuPEdzp/fx6RJa7G3dwXgypUofvhhGEOH\nzuTBB8eUuefEic1s3/4x8fFHMTIyon37xxk8eCbu7nd/iRdX4334YScSE49rrimKEU2bunDnzg0K\nCwto2tQBCws70tLiKCwswMbGlby8bF56aQstWjxMdPReFi58mqlTN+Pr+6Cm/5ycu7kAmza15/bt\nksflERoKvuN2Amgcljo3YF5eHqMeGkXvIb2Z/L/J3Ll9h+QryZwIP8F3M79jddhqXD1da//SJQZJ\nbZzUSSFEu2I/rYAdQoge+jK2HBvuXSelRh1VSUfVaLhzJ4P//c+HGTMi2bzZjd69VWtNcXGwaVMo\nKSmTmTnzTIVlzPPycjA2NsHIyLjEebUab8gQNJHP1q3w6quJWFvbYWZmxS+/QEDACX77bQDPP3+J\n7783p2/fCPbte5zHH7/Er78uw8dnM9OmbSYuDlatmoet7Z+88MLvOnv+qPxTOHaLxMYaenu1YfeG\n3az4dgU/7/mZA38eYP7n87F1tSXjagaOdo74tPLhtY9e09n4EsOiNglm7xT9zFIUxQ3IA5rr0jiJ\nFqizUyxZUr92SHTGpUtHcHdvh4ODm0atFxqq+jlsWA9u304pmqorH1NT8zIOCkqq8ZYsUf0cMgSc\nnDywsLDS5OrbujUMJ6chbNtmTr9+sGtXGObmj7NunSmPPjqS2Ng9xewZSXT0Hp0+v79JIM4RozTi\nil17dtF2aFtupt/U5OabsHACwXODiY+L5+BfsiD4vYg2TmprUfn4z4FjwCVglT6NkpRPSPfIu/n/\nJA0eExNzcnOzgLJqPU/PfPLzczExMatR38XVeG3bqo6L4+0NPj7mXLmSRefOKifm7m7OjRtZtG0L\nvXtnYWpqrrHH2TkLY+Oa2VIV6tyA12NdSDinsGb/QSxcLErk5rOwsaiiF0ljRZt9Up8JIXKA3xVF\n2YpKPCFrRdcHQUGEBKGa+puDrFXVwPH1fZC0tEQSEk5QWNi+hFovI2Mljo6+3LhxCUtL+3IjpuJk\nZ98iKekkpqZN8PBoz+HDRho13unTqim/4o4qLg5SUgaTn/8Whw5dJzPTiatXh6Ao/+PUqVTS0xfT\npMkTGnsuXlxMx45P6O1dBAVB8/PPs3z5JFre/39cj1/Chag47vP35lrsNRKiEhj/0ni9jS8xXLRZ\nkzomhOhU1Tl9ItekyqG4oEKq/xosBw78zJYtM3FxWcjw4Y/h5pbLDz+M4+zZ33FxaYWRkTG5ubcZ\nMeLTMimPQKUO3Lz5ffbu/RFn55bcuZNOQUEBublfMXLksBJrUjNnqqYC1fWjeveG48ff4dixnaSm\nzmfMmK7Ex7/GoUPruX07i5CQQ7Rp48ymTQvYt+9L3nvvAM7Ovnp7F0II5s9/gsLCAtp3eJz9Z+Zi\n2cyMy6cuYYQRW45v0VtmdUn9U23hhKIoroA7qjpSz6AqHQ9gA8wXQtyvJ1vLs0U6qYqQFYANEnWl\n24qOi3Ps2O9s3foBqalx5OZmYWpqwahRS3jooacAiI09yIIFTzFmzI+0bz8MgOxssLCAtWvfICHh\nGGPGrMDV1QMhBNHRe1m0aBSTJv2qyb2nbq8mNxfMzFSO4Z9/fuSPP74gJ+cm+fnZNGt2H7dupZCf\nn0N+fjYBAf15/PE5NG/eSi/vqjj5+bls2/Yh+/YtQAhBdvYd/Dr2YuCbY3FoSYWVgiUNn5o4qQnA\ns6iyTRzhrpO6CfwshFivH1PLtUU6qSqQWdUNh+KRilqt9/ffMH58xY5KCMGNG5eYPbsD06dHMnu2\nB/36qdaKtmyBrVu34eDwHh9/HMHBgwrLl8OTTyazdWtrhg6N4bffHBk3Dh5+GA4ehBUrVuHmtoh3\n3tnDxYsqAcWkSeDjA5cuweLFqr9pfH1V9u3ZU8iIETewsLDEwsKKwsJCbt26gZmZZZVlQPRBQUEe\nt2+n0qSJLaamKu9aWg0oaVzURoI+UgihO91pDZBOSktkVGUwxMVVUOm2EiIjd7Fz5ye8+ebfbN0K\n27aBlxfEx0NgYCEnTjjQsWMM5841o3NnOHToNywtV5Cbu0kzTtu2qjWo3r1z2bbNilGjbvLvv+Y8\n9JDKeanblT7Wxj5DQb0p2MZadSwdVuOgNhJ0D0VRbBQVixVFOaYoSj9dGaYoygBFUc4qihKtKMp/\nddXvPcnEibICsIFQVSXc8lAUIwoL8wFVBOXlpXJ2Xl4weXIhRkYFnD5tTNu2MHYseHkZkZGRrzku\nruYbMKAAIyMICzOic2eVaKK4PaWPG4qDgrKVgmVuwMaNNk7qOSFEJtAPcATGAZ/oYnBFUYyA74H+\nqNIujVYUpc7WuhorIdMdCXHeqMr/J/dV1Qulc+upy2pUhp9fd65ciSI5OYbNm/OIi4vEze08cXGC\nzz7bALSnY0d7Tp+GFSsgKakPRkYHOHnyMitWUELNt3DhMszNu9GxYwIREYLw8JL2lD6OiblDUtJp\nUlK0MNQACApSfUrnBpQ0PqqTceIb4B8hxAZFUY4LITrWenBF6Qa8L4QYWHT8NiCEEJ+Waien+2qI\nXKuqe2qyJqVm9+657Nr1KTdvFtK0qR2mpllkZxuTnZ1B377refLJPhw4AMuXw7hxkJr6AWFhG0lL\n+5nx49vRtWsuX345gYsX12Bj4wnkYmnpzp07X/Liiz3LrEl5exewcuUHhIf/QLNmzty+fQMnJz+e\nfvprfH0fqIO3pTvU04CAXLdqgNSmMu9RRVH+AHyB6YqiWAOFOrLLHUgodpwINKx/GQZOyHRH1VpV\nGHD+vFyrqgOMjEo6JG/vqh2UWv1XWJiPsbEx1tZGmJrmkJubi7W1DYpiRECAqjD2ww+rIiZLSxBi\nBk2a2LJr1yC2bjXl11+vYWRkzNixy+nRYwyFhQX8++9GVq58EiG2Ag/i43NXjv7rry9z/fpZZsw4\njKvrfRQU5BMRsYbvvx/MG2/8jbt7W32/Lp3hGTcAigLBBO+dbLoZKdWAjQBtnNREoANwQQiRpSiK\nI/B/+jWrLDO3bNF879WqFb1at65rExouEycSAiycU7RWJaMqvVPaIVXloH75Bbp3v82uXZ8wbtwR\n1q3zZuTIi/j4mJGZ6cnvv29gy5b3CQjoS2EhrF2rjtQU/PxeJT5+Kj16RPDdd/344INYNmxwwssL\nvL2NcXQcibNzKtu2fcRLL6n+HZmYQEpKHBERa/jww4v89ptNUX8muLqOwdHxKjt2zGHSpJV6fEv6\nwzNuAFGxp4BIkq0jZVRlgBzZe4QjoUeqbFfpPikhxNVKb9aiTRX3dwNmCiEGFB3L6T59o94ELBWA\nBkVcHCxf/gfZ2R/h6BhaRn03fHg+X3/twMcfX6JpU4dy1YPXrq3i6NG1vPDChjLXhw7N4ssvbfnh\nh2xN9orQ0AXExh7g//5vWZn2/fsns2BBS775JqOe30zt0aZEiKT+qYm6b7sW/WrTpjKOAH6Kongr\nimIGjAI217JPSWWoKwBLBaBB4e0Nfn6CzMzy1Xje3gqgaAoAlq8eFKi0SGWve3mVzaQuRGXtjYDG\nUWxQLa6IPGhH2H6kGrCBUdl0X3tFUTIrua4AlV2vEiFEgaIoLwF/oHKYS4QQUbXpU6IdIdMdi6Iq\n5FqVARAXB4mJDyPEScLD4zEz8yqhvsvN3Y6ra2usrBw17Ytf9/aG1q37sGrVVG7fTuXGDYdSuQDX\n4O//WIkcgAEB/di8eQY5Obe5erVpifbJyb/Stu2g+nodOsffJBDiAgHkNGADQ6vKvPWNnO7TL1IB\nWL8UVwNGRs4mPPx3cnNXM3lyK3x8BPv2hbJ27WhCQhbTrt2gStWD69a9QVxcBNbWvzBwoA9eXoI9\ne3awfv2zvPbaBlq27F5i7F9+mURaWiIWFksYMMAdT89Cdu/ewObNU/jPf3bj7d2hnt6K/pHTgIZF\njTNOGALSSdUB91gF4Ork1quL8Yvn0vvjjy/YvfsLbGxcyM3NQlEURoz4jE6dRlRpf2FhAVu3fsA/\n/3yPg4MXWVlpmJtbMXLkV7RtW3YPfkFBHhs3vsP+/YtxdPTh1q3rWFk146mnvqV16zqra1pvROWf\nwqpFElC2UrCkbpFOSqIV90JUVZt9TPoYv3Ruvbg4+OuvHHr3Po2ZmRnNm7fBqJqG5eZmcfnyGczM\nLGne3L/C6r5qsrNvcvXqWSwsbHBxaVVl+8aIzA1Yv0gnJdGeeyCqqkluPX2O35Bz6TU2ik8Dgoys\n6opaOSlFUYwBF4oJLYQQ8Tq1sPLxpZOqBxp7VBUaqlKz9ehRP49Xevz6tkdyl6j8UwBYtUjC3Cmd\nLq3lmpW+qXHGCUVRXgbeB65xN9OEANrp1EKJwVFCARgW1qiiqvLUcVVFLrm5dwCBmZmlzsc3Mytr\nj4vLLYyNTTSlKiR1h7+JSglIXCBRsaeIIJJo63Q5DVgPaJO7LwZ4UAiRUjcmlWuDjKTqG3UZkEYQ\nVVV3TSomZj9btswkJmY/AD4+XRky5H38/R/Tyfil16R2797Mjh0fkZt7CiEE99//KI8//iFeXnVW\nDFtSDrJEiH6pTT2pv4G+Qoh8fRlXFdJJGQiNaK1KW3Xf2bN7WLx4FCNGfMkDDzyNkZER//67kdWr\nX2Hs2AWaSrn5+apUQ2pKH5fuv6L2Bw/+wqZN7xIc/CPt2w8kPz+X8PDlbNr0Di+/vB0fn66V2ivR\nL+q9777jdsppQB1T7YwTiqK8oSjKG8AF4B9FUaarzxWdl9xrFGWrCHHe2OCzVWiTW08Iwe+/T2PU\nqAXs2DGOo0fNMTY2JS/vKRRlJevWvUVhYSH5+aqEreHhqvvCw1XH+UV/1qkjJ3W5jrg4VamNwmJp\nmk1MVKXT16//Dy+8sJkTJ4aQkGCMmVkTPD1DgE9Yteodzf2//FLyfkndULpESMS5dFkiRM9U9reY\nddEnHtgNmBU7V/f1pCWGw8SJhHSPVK1TzZlT39bojZSUONLTk+jU6XGGDIE1a1TTcmvWwIgRvQFB\nUtIpTEwoc33IkLuRkpGRampv/XqVX1+/XnVc2jHGxobh4OCNt3eHEu03boQRI8YQF3eAP//MqPB+\nSd3ibxLI2a9k4UV9U6FwQggxC0BRlKeEEL8Vv6YoylP6Nkxi4AQFERKEaq1qDo0yYW1+fjbm5lYY\nGRnRrRtERqoq33boAA89pLBnjw35+dkAZa5361ayr+K58Xr0KF+kkZeXTZMmNuW2797dnDVrzDhw\nIJdevaQ83VAICgKKZVyPQeWo5DSg7tDmb7HyFh8a9oKERHeooyp1wtpGhJNTC/Ly7pCYeJLw8JKV\nb3fvvkhKyiXc3VUqsNLX1VN/arSp1Ovj05VLl45w69aNMu03btwLuNCzZzOtK/1K6g5/k0CcI0bh\nHDFKTgPqmAojKUVRBgKDAHdFUb4tdskGqDcRhcQAaaRRlbGxKf36/YeffppAVtYWgoM96NYN/v77\nGuvWjaF//1cxM7MkPx+2boXgYFUEFR6uOu7SRTXlV1ioUg+qN+h6e5evJrSyasZDDz3L4sVjsLJa\nzRNP2OPtDVZWMSxeHMLAgTPo2VPBx6duM2RIqoe/SSChXwXiO05VeFFGVbWjsnpS7YGOwCzgvWKX\nbgJ/CyHS9G+exhap7msoNCIFIKjEEzt2fMwff3yBj09XjI1NuHDhII888gIjRnykSVdUXXVfReq8\ngoI81q59g0OHVuDn9wi5ubdJTDzBoEEzeeyxl6u8X2JYqFMtqZEOq2JqI0E3FULk6c0yLZBOqgGi\n3lfVSKKqO3cyiY7+ByEKadkyiKZNHfQ6XmbmNWJiwjAxMaN1696YmzfV63gS/SNzA1ZOtZ2Uoiin\nqKTqmRCizjJOSCfVQGlkUZVEUltCQ0vusQJkZFVETZyUWj80tejn8qKfY1GVeH9b51ZWgHRSDZxG\nFlVJJLVFXSLE3CkdkNOAULvpvuNCiI6lzh0TQtRZjhbppBoBxaOqRpBaSSLRFXIaUEW1M04UQ1EU\npXuxg4e1vE8iuUvxbBVhYapdrxKJpNxNwXJj8F20iaQ6A0sBW0AB0oDnhBDH9G+exgYZSTUyGnsZ\nEImkJqhLhKgVgffSNGCtix4qimILIITI0LFt2owtnVRjRK5VSSQVcq9NA9ZEODFWCLGiomSyQoiv\ndGxjhUgn1biRUZVEUj6hoXD/G6uBxh9V1aTooXpjhrV+TJJIVIRMd1RFVWHA+fMyqpJIiggKAiJG\nEZV/t/AiQCu3xu2wiqPNmpSFECK7juypyAYZSd0jyKhKIikfdWUcp4cb5zRgbSToMahKx+8r+uyv\n63Up6aTuMeRalURSKY1xGrBWwglFUbyAHkB3VEln04UQHXRuZcXjSyd1DyKjKomkcoqLK6BhTwPW\nJpLyQOWgegLtgVRU0VSd1WWQTuoeRr0JWEZVEkm5NJZpwNo4qULgCPCxEGKTnuyrygbppO5xZFQl\nkVRNQ54GrI2Tag88AgQBXsB5YK8Qos5SBkgnJQFkVCWRaElDLBFS2zUpK1SOqgeqBLMIIeqsgLV0\nUpLiyKhKItGehrIpuDaRVARgDhygSOEnhKjT4tXSSdUt+QUF/Hr4ML+Eh3P91i3aurnxUq9ePNSi\nRX2bdhdZBkQi0ZrS04BgeCVCauOknIQQ1/VmmRZIJ1V35BcU8NTChSTfvMlbffvi26wZe6Oj+eyP\nP3h/8GBCDCxykVGVRKI9hlwipNa5++oT6aTqjqVhYfx04ADGubncunVLc97UwoKz6elEzZyJq61t\nPVpYDjKqkkiqjXoa0M8P2pjX/zRgbUp1SO4hfj5wgP/278+tW7eIsLLSfPKysxnZsSO/Hj5c3yaW\npagMCABz5tzV5EokkgpRlwiJiYFNkZEk5SeRlJ9U32aVobLcfZJ7kKuZmfg5O5d7zc/ZmauZmXVs\nkfaETHcsiqpQ1aySUZVEUinFcwOGXVdNA0aQblDTgBU6KUVRnqjsRiHEet2bI6lvApo3Jywmptxr\nYSnU4lIAABevSURBVDExjOxUZwWZa0ZQECFBqFIrzUGuVUkkWuBvEghxgRCHJpltul+6QUwDVlaq\n46dK7hNCiOf0Y1K5tsg1qTrir6goJi1fjpuFBTl37mjO5xobcz0nh9jZs7E0M6tHC6uBXKuSSGpE\nfWwKlsIJidZ88ccffLJzJ2MefBBfR0f2nj9P+IULbHzxRR709a1v86qPOmGtjKokkmpRfI+VswvY\nGevPYdV2M+9goA1goT4nhPhApxZWPr50UnXMpRs3WHHokGaf1PK9e8m6fVtz3cbamj3/+189WlhN\nZFQlkdSI0FBVXkBAr2rA2uyTmg9YAr2BxcCTwGEhRK3y0iiK8iQwE/AHugohjlXSVjqpeqbL9OlE\nWFndPb51i4g5dZZjWHfIMiASSY3R5zRgbSToDwshxgNpQohZwENAKx3YdAoYAezVQV8SiXZMnEhI\n90hITlbJ1SUSidYEBYFzxChSwtsQcS6dv+Mj+Ts+Uq/SdW0k6OrV8yxFUdyAFKB5bQcWQpwDUBSl\njOeUSPRKaQWgjKokkmrhbxJI6FeBAPiO20nmzXS9qQG1cVJbFUWxAz4HjgEC1bSfpAFxMDaWnw4c\n4EpGBve7uhLSowctXVzKbSuEYG90tCp3382bBLq7Y9qkCV2KZaCwsbYu0X53VBQrDx0iLSuLjp6e\nPN+jBx729np/rloxcSIh6n1Vc+bItSqJpBpoNEhxAwhdDryxmhgidT4NqM2alLkQIkf9HZV4Ilt9\nrop7dwPFfxMqqJzcO0KILUVt/gbelGtS+mP6hg38evgwL/fuTSsXFw7ExrIkLIxvg4MZ/cADJdoK\nIXhp1Sp2nTnDS7164dusGaHnz7Ps4EGWTpjAsPbtS7QvLCzk2WXLiIiLY2rPnrjb2/NXVBSrIyJY\nPWkSj/r71+Wj1hy5ViWR1JralAipjXDimBCiU1Xnaoq2Tur9IUM0x71ataJX69a6GL7R88eZM0xd\ntQpXMzPuZGVpzhubm3M+I4PImTNpbmuL45QpmApBNnAbaAr4OTho2sdlZpJWUEBbW1tMjIw06r6l\nYWEs2rcPs/x8bhdT/xWampKYlcWljz+W+6okknuQBO+dmDulV6gGPLL3CEdCj2iO58+eXz0npSiK\nK+AOrACeQRUFAdgA84UQ99f6KdA4qbeEEEcraSMjqRry5IIF9A8IYMH27WXUeZ3btMG3WTPeHjAA\n18mTuaoo9BOCicCrwFUvL01798REgiws6GFuzovW1hp134Nz5jBz6FBmrFxZpn8XNzdGd+3K2G7d\n6vCJdYCMqiQSnVAdNWBFkVRla1L9gWcBD+CrYuczgVpvkFEUZTjwHdAM1brXv0KIgbXtV1KSSzdu\n0MHTs9xr7T08OJlUUpVzCehQQV/tTU25lJ9f4lxcamql/celplbTYgOg9FqV3AQskdSI4rkBI4gk\nguqXCKnQSQkhlgHLFEUZKYT4XRcGl+p/I7BR1/1KSuLbrBnH4+PLvfZvQgItnJxKtgeOV9DXv3l5\n9DQ3L3HOx9Gx4v4TExlTas2rwVBcARgGnD8voyqJpIb4mwRChEoNmOC9kwi0VwNqsyblCswG3IQQ\nAxVFCQAeEkIsqb3p2iGn+2rO7jNneOHXX7ExMuJyRgZ5hYVYGBtj1aQJ8ZmZDGrbls7e3ny+aRPm\nUOGaVGxGBhkFBdiZmmJpYoKPoyP7Z8zgp7Aw5oeGYlFQUGJNqsDUlMtFa1JNGsqaVCXI4ooSie4o\nbxqwNpt5fwJ2AW5Fx9HAa7oyVqJf+gYE4OXgwInkZAK8vBjTvTuFpqZEF03TPf7/7d17lBTlmcfx\n7wPDfbjITYhEjKAoiBIJImJASUw0ehLXiBviuqhEWG+bsy7JHmLUeDlqEj2a4BpCJCoxakzguKgh\nkaioXEZB0eE6DOEiKDgEQWYgMtMzz/5R1dA0c2Ome6pm+vc5pw9V1W9XPV3APPNUvfW+w4ax5ZNP\naN2pE7+96SZ2z5jB9eefT4+ePZkwbhzTLr8cz89nb1UVE846i4euvJILhg2jaM8eFhYVMXHUKAb3\n7cvH5eVc9dWv8qPx4zlr6FC27dvHs9dd1yISFATTgEzu/XwwBYjmqxJplORDwQd2dmN50R5WH1hd\nY9v6VFLL3H2Ema1w9y+G295z95puXWScKqmGe339eiY+8QSPTpjAC4WFFG7bxurt23lo/HimzpnD\nujvvpFfnzhRs3MjFjzzC+rvuonunTiz++995culS3t+6lU27dvHqLbcw9LhD15BfWbuWCbNmsSkc\nFf3Vdev4/dtvs3v/fob168d1X/4yn+vWLcJvniWzZjGTybr0J5IhybEBH76x4V3QFwLfBha4+5lm\ndjbwU3cfm5WIq49BSaqBvvOb3/DlgQO5d+5cSCT4pKqKdmZY2N08j+DS3gGgVdu2dMzL49j27Q92\nMb/g4YeZNHo0MxcsYG9p6cH9duncmc7dunHpGWdwzejREX27aOjSn0jmTZliDb7cdwswDxhgZouB\n2cDNGY5PsmRDSQkjTjgBEgk+zMtjkBmvtW5NO+BB4EpghxntgDs6deLSVq1Ynp9/MCElP7+3tPSw\n6eT3lpbypf792bBzZ3RfLiKTp/UIxv9bvBhmNdmtWZGcVGeSCh+yHQucA0wBhrh7YbYDk8zod8wx\nrP7oo0PrwOqwel4TrietrqigX15erZ9PtWb79vgPfZQtY8YE09UnB6rVfSqRrKhz7D4zaw/cAJxL\nMKTRm2Y2w90/y3ZwUrOP9uxhdkEBWz/5hIG9e3PV2WfTM+Vh2qTvnXsuP5w7l4qqKu6prKQS+GFl\nJfuAXwMnAoXulAKPlZXRxYzn9u3jsw4dDn7+3vnzqUq7LLw/keAvq1fz6IQJAKzbseOwsfu+M2IE\nndK6q7dEk6f1CEeqIKisNFKFSEbV53LfbIIJD6cDj4TLv8tmUFK72UuXctqdd7J51y5O6dOH97dt\nY9Dtt/Ni4ZEF7sVDh9I7P5+dwN2VlbzhznagDEgAm4A/AvsJfgM5YMaKigrW7N3L1D/+katGjmRA\nr16sLyvjhF27OHn3bvqWlLChrIzHrrqKbh078uPnn2fsAw9wIJHg5GOPZV5hISfffjvvbd3ahGcl\nQsmqClRViWRYfTpOrHH3wXVtyyZ1nDhk1Ycf8pWHHuL1qVM5pU+fg9vf3rSJi6ZPp/C22zgu5RJc\nwcaNfHvGDO6/7DLmr1rF8i1b2FBSwvjhw3n+/fc5pkMHPi4t5Vunn868wkI233cfx3fvztVPPMGT\nS5dSdNddDOzVi5dWrmR2QQH/KCvj9H79uH7sWE7p04c5777LbfPm8cbUqYdVcs8tX84P5sxhwz33\n0KZ16yY9R5HS+H8iDVJTx4n6JKmngEfcvSBcHwncGE6E2CSUpA656Zln6JWfz+srVx7R225Q//58\nrls3brv4Yo67+WZIJNhdVUUbM1q50w7YCbQBOhA8uJvs4ZdPMN5VG6AbQW+/PeF7PcL1ASkP9yZ7\n/53/4IPccN55/Oqvfz0insq2bfn+uHFcdmZGxiJuVtQDUOToNKZ333BgiZltNrPNwFJghJmtNDN1\noGhia7dvZ/TAgdX2tjt34EDWbt8eNAx78w02Y0HYm28H0Jbg6exk7z4IJgprB1xKMOXyjnD9VKB7\nynr68QDW7tjB6AEDqo1n9IABrN2xo4nOTLwc1gNQMwCLNFh9Jj28MOtRSL316dqV4pKSat9b//HH\n9OnS5fD2QHFKtdwJeDtcLib4LeX1lPXUyb+2p61XG0+XLjXHU1LCRUMyP1Nns5E+A7CqKpGjVp8u\n6FtqezVFkHLI1aNG8fArr1CZdpm2oqqK3yxaxMRRow7bfk3r1jxQVUWy9XeBmUAFQe+XkQQPwe0D\nVhKMffU0QUeKPRw+/H11rjnnHO6bP5/0y8b/TCR4dd06Lh8+vAHfsoWZNElVlUgD1aeSkhj56qmn\ncsGpp/LE4sV8obyc9q1bsz+RoKS8nGkXXcQZyWkz8vI4LpHA3dnjTjnQleC3kn8SJKE2QCFQRdDb\nD+AZgu6chG2vDZcPQLXTx18/dix/XrWKjfv3M7CigjatWlFaUcHOAwd48tpr6Rp2Zc95qqpEGqTO\njhNxoI4Th3N3Xigs5LFFi9i6ezcDe/XiP8aMqXGq9qqqKuasWMHjS5aw/dNPGdS7N4mqKl4vLqb0\ns88oTyQ4sWdPPti9m0RlJR3btuVrgwfz1ubNFN99d50z65YnEvz+rbd4Kvmc1PHHc/P559c4z1TO\nUw9AkSM0uHdfHChJ1W3cvfce0bvu1R/VPDdlsv3GsjLy8/Io3b+f1EdvDwDnnHYa44cP5+pzzsle\n4LlMMwCLHNSY3n3SDFTXu64+7fu681KXLgd7/yVf7YDzBw2icNu27Aefq5L3qpJDK4nIEXRPKsf1\nbNWKLZWV1b63Zdcu+nbt2sQR5Zj0e1WqqkQOo0oqx/17p048sHcv6Rd9K4Fnli3jypEjowgr96iq\nEqmWKqkWokvnznwp7Z5Ufdq7OxuqqtgPHAO0JuieXgbc//Wv079HjyxGLYdRVSVyBHWcEMoTCX67\neDFPLF1KSWkpQ/r25eZx4/ja4CYbnlHSqQeg5Bj17hNpjtQDUHKEeveJNEe6VyU5TvekROJO96ok\nh6mSEmkuJk3SlPWSc5SkRJqZydN6MLn388GAtbNmRR2OSFYpSYk0R6qqJEcoSYk0Y6qqpKVTkhJp\n7lRVSQumJCXSQqiqkpZISUqkJVFVJS2MkpRIC6SqSloKJSmRlkpVlbQASlIiLdzkaT2CoZVUVUkz\npCQlkgvGjFFVJc2SkpRIDjmsqtKAtdIMKEmJ5JpkVQWqqiT2lKREcpSqKmkOIktSZvYzM1trZu+Z\n2Rwz6xJVLCI5S1WVxFyUldTLwBB3HwYUA5ojWyQiqqokriJLUu7+N3evClcLgH5RxSIiHKyqJvd+\nXlWVxEZc7kldC8yPOggR4dCU9aqqJAayOn28mS0Ajk3dBDhwq7u/ELa5Fahw96ezGYuIHIX0KetH\nj4YxY6KOSnKQuXt0Bze7GrgOGOfuB2pp53dccsnB9fNOPpnzBg3KfoAiAm+8wczFQ4Llabp1LJlR\nVLSQ9esXHlx/8cU7cXdLbxdZkjKzC4EHgTHuvquOtu6//nXTBCYi1Zs1i5kll0Lv3jBpUtTRSAsz\nZYpVm6SivCc1HcgHFpjZu2b2aISxiEhdkveqkkMriTSBrN6Tqo27nxTVsUWkgdLvVamqkiyLS+8+\nEWlOVFVJE4mskhKRZk5VlTQBVVIi0jiqqiSLVEmJSOOpqpIsUSUlIpmTXlVpaCVpJCUpEcms1DEA\nNWW9NJKSlIhkx6RJmrJeGk1JSkSySlWVNIaSlIhkn6oqaSAlKRFpMqqq5GgpSYlI01JVJUdBSUpE\nIqGqSupDSUpEoqOqSuqgJJUhC4uKog4h1nR+aqZzU3tVVVS0MJqgmoFcODdKUhmycP36qEOINZ2f\nmunchGqoqlJnb5XD5cK50dh9IhIrk6f1CKesB4qLoXfUEUmUVEmJSPyEQytRUgJvvhl1NBIhc/eo\nY6iTmcU/SBERaRR3t/RtzSJJiYhIbtLlPhERiS0lKRERiS0lKRERiS0lqQwys5+Z2Voze8/M5phZ\nl6hjigszu9zMVplZpZmdGXU8cWFmF5rZOjNbb2b/E3U8cWJms8zsYzMrjDqWuDGzfmb2qpmtNrOV\nZvafUceULUpSmfUyMMTdhwHFwLSI44mTlcC/AK9HHUhcmFkr4BHg68AQYIKZnRJtVLHyOMG5kSMl\ngFvcfQgwCrixpf7bUZLKIHf/m7tXhasFQL8o44kTdy9y92LgiC6mOewsoNjdt7h7BfAs8K2IY4oN\nd18E7I46jjhy9x3u/l64XAasBY6LNqrsUJLKnmuB+VEHIbF2HLA1ZX0bLfQHjWSPmZ0ADAPeijaS\n7NCwSEfJzBYAx6ZuAhy41d1fCNvcClS4+9MRhBiZ+pwbEckcM8sH/gR8P6yoWhwlqaPk7hfU9r6Z\nXQ18AxjXJAHFSF3nRo7wIXB8ynq/cJtIncwsjyBB/c7d/y/qeLJFl/syyMwuBH4AfNPdD0QdT4zp\nvlRgGTDQzPqbWVvgO8C8iGOKG0P/XmryW2CNu/8i6kCySUkqs6YD+cACM3vXzB6NOqC4MLNLzWwr\ncDbwopnl/P06d68EbiLoFboaeNbd10YbVXyY2dPAEuBkM/vAzK6JOqa4MLPRwJXAODNbEf68uTDq\nuLJBY/eJiEhsqZISEZHYUpISEZHYUpISEZHYUpISEZHYUpISEZHYUpISEZHYUpKSZsnMJppZn3q0\ne9zMLqvv9gzENS1lub+ZraxnjBvNbHItbc4ws4syGOdEM5veyH28lpx2xcxebOzUNGY21sySQ4td\nYWbFZqaHm3OckpQ0V1cTz8FYf5S2Xt8HEae6+8xa3h9GMNxWJtX7IUkza13rjtwvcfe9jQ8piMnd\nnwO+l4H9STOnJCWRCyuOtWb2lJmtMbPnzKx9+N6ZZrbQzJaZ2Xwz62Nm3wa+BDwVPmnfzsxuM7O3\nzKzQzGYc5fHTj3FsuP01M7s/3O+68Cl/zKyDmf0hnMRxrpkVhPu4D+gQxvS7cPd5ZjYzbPsXM2tX\nj3jGhxPZrQjjagPcBVwR7nu8mY0wsyVm9o6ZLTKzk8LPTgwn3JxvZkVm9tOU/V4TbisARqdsvyT8\nDu+Y2ctm1ivcfoeZzTazRcBsM2tvZs+GE+3NBdqn7GOTmXU3sykpIyBsNLNXwve/Fsa7PDx3HcPt\nF4Z/98uBjFe20gK4u156RfoC+gNVwNnh+izgFoIBkBcDPcLtVwCzwuXXgC+m7KNbyvJs4OJw+XHg\nsmqO+TjBD8W6jvHzcPkiYEG4/N/Ar8LlIUA5cGa4vjfte1UAQ8P1PwDfrSmWlPVCoG+43CX8cyLw\ny5Q2+UCrcPkrwJ9S2m0I328HbCaoOPsAW4Du4XdelNwf0DVlv5NSvvMdBOMLtg3X/wt4LFweGn63\n5PfeCHRP2U8ewQSX3wB6hMsdwvd+CPw4jO8D4MSU8zMvZR9jU9f1ys2XRkGXuPjA3QvC5aeAm4G/\nAqcRjIVoBJX/RymfSR149Ctm9gOgI3AMsAp4qR7HHVTHMeaGf75DkHQAzgUeBnD31Vb79OYb3T15\nX+od4IR6xLQIeNLMnks5frpuBNXNSQSXyFL/L7/i4bQNZrY6jLsX8Jq7fxJu/wNwUtj+8+Gx+gJt\ngE0p+5rn7uXh8hjgFwDuvtLM3k9plz4I7C+BV939z2Z2MTA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En4inY4+O5X0STibg6upaY39oPjGBKirYNqjTQZVljugppRxocFBSyqxmsaw5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\nt7mZnW1tLCQZg9oD1O3bx2CS6ZkBVC1ZwuiqKu6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52R5CLBrn0OxjD4p61HnojL0y/8reAyl7D9AV9qCocoru3bnMDKT+yr7PVTzb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\nvwsMkVo+9ggAAAAASUVORK5CYII=\n", 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QAZVy/U2s92OtuUm0tOyVLKrTimuxghtFBH6f54rvMe07dgyzIxHsfksXqYRC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\nE7F0qdctISos7EEREZEvMaC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lpQwKIT4H4DmoMvPHpJRHdbeMDNfSApw5fiH9E8Pb8mSiqbwV9+68MsMWZLfg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\n", 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aAtVxUt6Fv2pkN5rlvymoZelv6N3KcpBOqu6QTspwROafwqn3naS29UkVWFLR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\nA/tkAC385a8Bfwrst8l/vzXwEV6LswewFejsf+dF8eMBpwS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e4dtvdzbp+X/963IuXrzAlClDmTRpBq+++g4ffPAOW7Z8R1FRETffPI/nn3+NvLw8/vSn\nO0hJuURpqY6nn/4L6elXSE1NYf78Kbi6urNp094q937jjeX89NMWNBpLJk+eyWuvreTq1XSee+4h\nkpMTy855j+7dffjf/z5Go9Hw/fdrWbHiX4wde0OTvo85CAkBymoCVq9cEeOYqdZWtTEpJcJC1Mji\nKywoxCfIB6mT5e97j+rNkbVHKCwoxM7JDlsHW66nXgdqr61n0FAtvuZ+3pLa8tkdTX1DfPcDCCF2\nAQOklJfL3ncHPm+V1hnL0REPR+DqVdIvA1aW4F4xNxUVdYa8vFxuvvm2GpfedddS3nzzz1y9mo67\ne+Pns/785zeJjj7D3r2/AbB37y7i42P56adjSCm5555bOHx4P1evpuPl5c26ddsByM7OwsnJmY8/\nXsXGjXtxc6u68v7atQx27NjEoUPRCCHIysose94TPPjgU4wdO5FLlxK5884bCQuL4r77HqJLFweW\nLXu20d/BnJUvBgb2rwom8Olv2BypX1sFKguwLUyYOYFHbnmEm++5mdS41PJ1ULZ2tuz+cDfd+3Yv\nf594OpGuXl2xtbOlILuA7LRsunp1BWrWxtPpdJw6dIqczBzsbO2q3Lv6+YZafU39vCW15bM7GmOK\nxfoZglOZK4B5LtF2d8fDoQBKtPphvzJZWdfx8vJGiJoJiba2tjg7dyU72zTrLfbt28W+fbuYOnUY\n06YNJzY2mri4WAYMCObXX3fz+uvPc+TIAZyc6k+fdXJyxsbGliefXMq2bRuxs9PPUe3f/zMvvPAo\nU6YM5Z57biEnJ5vc3FyTtN3cGbYHyTgykKNrB3L+PGyOjCwfAlRaR79B/Rg2fhhnDp9hz6d7SIlN\nQVus5cyPZzi87jCT/zCZUl0pmhINu9/fTc+gnnT37s7ZfWc58N8DDJ82vLw23tRZUwEI2x3G7AGz\nefvZt9nw2QZ2rN3BykUruXDyAqW60hrnT501lcNfHyYlNqVJn7ektnx2R9NgLT4hxAdAX+DrskN3\nAuellI+1cNtqGNmjhwx/6aUqx6KGDiWoV6+aJ1+9SrqNLzg6cu1aBmPG9OHYsQt07epa5bS4uFjm\nzJnIqVOJ2NjYNLpNiYkXufvuOezffwaAl19+hoCAftx334M1zr1+/Ro//7yDtWv/ww03TOPZZ19m\nxIie7NoVXqMHBVBUVMSBA7+wdev3JCVdZOPGPQQGuvPbb5ewtbWtcu7bb79aZw+qpWrxmYP9+/V/\nBj79DaAyAFtLcVExq15cxQ//+wE7Bztys3NxcnFi3pJ5VernGZPFF/VbFA/NfYiHX3qYK+lXSEtN\nw9XNlcgjkaQkpjB86nC6de9W5V7V793aWXzmnEHYHpisFp+U8lEhxDz0a54AVkspNzW3ga0iNxeK\nCnF19+CWW+7g+ecf4YMPvsDa2hqAvLw8nnvuYe6//5EmBSfQb/Gem1uRoDFlyo289dZfWLDgLhwc\nHLh8ORlLSyt0Oi0uLq4sXHg3zs4urF37aZXrqweo3NxcCgrymT79ZkaPnsCoUfpMw8mTZ/Lpp//i\n0UefAyAi4jeCg4fi4OBITk52k75De1a+Zjt8UXkGYDiZ5TsDq2DVMqxtrFn+7nKWvbyMxPOJOLo4\nNrn23eerPmf2nbO5cOlClcy3fG0+iecTufO+O7GwsKiRGWeoTl7XX/zBo4JbJCgYk6XXUs/ubIwt\ndXQSyJFS/iyEsBdCOEop60+ba2vu7ngA6Zf1w31/Xf4GDz/3EKNG9Wb27PmUlJSwffsGZs26laee\neqnB29XF1dWN0aMnEBIyiKlTb+LVV98hNjaK2bPHAWBv78C//72W+PjzvPbac1hYWGBlZcXbb38E\nwD33hLJo0Sy8vLyrJEnk5eVw7723UlhYCEhee20VAH/72/ssX76MSZMGo9NpGTs2hJUrP+bGG+fy\nwAO3s3Pn5nafJNFUlddWJfXQF61VwaplOTo7MnBE8+YBww+EM2XBFMYvHl+lrt+EuyYQFRZF+P5w\ncgtza9T9G7d4HHs27mn1QFA5S6+t29LRNRighBB/AkIBVyAA8AE+Bqa1bNNMw6O7pX64r8SFz1d+\nQuSVy+zbtwuNRsO2bWH07t232c/4+ON1Vd6Hhj5BaGjVCsy9egUwdeqNNa794x8f449/rDla2q1b\nd3766ViN425u7vznP9/WOB4Q0I9ffz3d2KZ3WH4JsyBB/7MhWGX2yVRJFWbIytqKtJTaM99ysnKw\ntrEm7aL5ZMapLL3WY0wPahkwGjgKIKWMFUK0r3SUSr2pga4eDLz3QXB0bOtWKa3Er46itWqTxbaV\nn5fP3q178fb3Jv5MPCnnU/Dt71v+efzv8aQmpDJl7hSuZV0zm8w4laXXeozJ4iuSUhYb3gghLIH2\ns8thJR7dLfVZfrm5VbL8lI7PkAHoGb6I6FWLiDysXwi8OVJlALaFXzb/wqx+s/jx2x/xC/DjUtwl\nlocs59CmQ5TqSjm65Sgr/7CSybMn49vL16wy48ypLR2dMVl8bwOZwL3AY8AjwFkpZdMnbpqoriy+\nwJ49a00hr0/6Za3+BweHDt2bklJy8WJ0h83ia64obQRuYyPL56lAlVZqKYbMttjIWI7tOsZ9T92H\nFi1pqWnY2tiyb9M+0i+nIywEVtZWjJg4gqDRQaRfSa81a6+hLL6WaHtbPLsjMuWOusuBpUAE8CCw\nQ0r5n2a2z2Rs8/PJyMnBzdGxUUHKo7sl5OToK1BAhwxSUkpycjLIz7dt+OROypBYEaWNIL1s63pV\nrcL0Kme+XUi4wMjZIzlx5gRzls1hxqgZRB+PJj45HtsYW2b+aSZOrk4c2HQA/8n+zBw1s0bWXmvW\nu6vtWQ1lECqmYUyAugv4pnJQEkLMkVJua7lmGc83Lo5LQHpTi63m5pKTZg8NLJxtr/LzbYmL8234\nxE6ucsHapB4VOwGDqlZhCpUz3+JOxdFndB9uuPsGdBa6KnX7tv19G5djL3Pd5TozHp9R/nn1TLnW\nzKRTWXttx5gA9S/gGSHEYillVNmx1wGzCFBWWi29YmKad5M1a1iddht4eqp9ppTypIqM8RE4BCRz\n3kNtW99clTPf7J3suXrpKv6D/Yk7HgdU1O3LvJJJ/5H9yUjNqPI5tF2tPZW113aMSZKIBx4AvhdC\nLCw71rgJH3O3dKm+Mnpa2T5ThvIESqcVEqLvVfklzCLjiL6s0t7EzlVWSavVsnfrXt5+7m3+8dI/\nOH3sNA3NWdfFkPkGMHHhRFLPp5LwWwK2dvrhZ1s7W84dPEdafBoTFk6gq1dXEk8nln8Otdfaq6yl\nMula81lKVcYEKCmlPAlMAkKFECsBjSkeLoT4rxAiTQhxxhT3a67QF9wI9fxBv2vvmjVt3RzFTARZ\nBuMZvohjry0ifndFsOrIMq5ksHj8Yj5951M8untgY2vD8/c+z//d83+UlJQ0+n6VM99CFodgZWXF\nx/d+zJXIK+Rey+X8gfN8ct8nBE8KpntAd3oG9WT3+7vRlGjavNaeytprO8Zk8W2XUs4u+9kCeAt4\nRkppTHBr6N4hQC7whZRyUEPn15bF11JWr8jQ/zBhQqV6Ooqil9RjJzYe+grzTo50uKSKh+Y+xIBh\nA5g8ZzJ7f9qrr4/n7krYtjAcXR3x7efb6My6yplwrm6uJJ1LInx/OPm5+XT16ErITSE4d3OuM2uv\npevd1Xc/lcVnWsZm8TUYoFqaEKInsM3cAhSg5qYUoxiCVUeZp0o4n8CSaUtY9fUqduzYUZ69Fn08\nmvVvrif+RDz/Of8fYk/Fsu3DbYQsCGH03NFEH4+u8r49Zbs1JlNPZfU1n7EBqr4ddd8r+3OrEGJL\n9ZcpG1sfIUSoECJcCBGe3trbSlSfm1KUWlSep9ocGdnuF//GRccxcPhA9v+yv8rOsDorHbe8dAva\nYi0FOQVVdsytvoNue9tJtjG74Kodc1tPfcN0X5b9uRJ4t5ZXq5BSrpZSjpRSjvRwcGitx1ZRvrW8\nSp5Q6mCYpzLsV2WYp0rWJre7rerdPN1IikviyuUrNXbMdenugk6rw9bBlsKCQvwH+5fvkFv9Peiz\n3dJS01r9OzRWXZl6tbW9MecqzVNngJJSnij789faXq3XRPMQOiFSnzyhelJKAwzBKj1OX04p/Fxm\nu0qqCB4VjBCC/Kz8Ktlrtna2bHhlA75BvljbWlfZMdfweeX30H6y3RqTqaey+lpPnXNQQogI6qm5\nJ6UcbJIGmPMcVG3UvJTSBJXnqcD856pOHzvNI7c8gndfb2569CYcujqw6R+biD0Wy/SHphM4OZDM\nlEx+/fxX7F3s0VhrsLSyJDM5k7kPzy2fg9q2ahsO9g7oSnWtnkzQmCQKNQfVupqdJCGE6FH247Ky\nPw1DfnejTz1f3txGCiG+BiYD7ui3kn9FSllnfrdZBCiA/ftZHVb2F8wLL7RtW5R2I0obAYBDWUkl\nc9/991L8Jf71yr84+utRSktL8enlg7WjNd36daOooIiM5AwKCgoYd884XLq7kHMlh+PfHaerTVdc\nurkgSgVaSy0zH5rZ6n+RNyWINDagqR1zm85kWXxCiFNSymHVjp2UUg5vZhsbzWwClIHqTSlNVLlI\nrWe39rH1xz/f+CfB84PLS/789fa/Mu3paXQL6IaruysA8Sfj+fntn1mzeU2N8wFSYlOI2BjBE395\notZntFRbW/PZSsOancVXiRBCTKj0ZryR13V8S5fq56ZUBQqlkQzzVPG7B3J07cB2MU9VPTkgLyuP\nHsN6oNPqyo/5D/YnKyur1vOh9ZIJVCJDx2BMoHkA+LcQ4qIQ4iLw77JjCkBISEUFitjYtm6N0s4E\nWQYTZBlM9Cp9UsXmyMjykkrmpnpyQBfnLiScSkBjWVFYJvF0Is7OzrWeD62XTKASGTqGeovFllWO\n6COlHCKEcAaQUma1Ssvam759ISxNXyJJDfcpjRQSAhh2/gUCn/6GzZGRrTpPdSX5Cuv+/TWHdoch\nhGDo2KEUFxUTER6BlbUVg0YM4tfPfmXS/ZPw6u3FoPGD2PXuLm56+iacXZxJPJ3I7vd3M3fBXEBf\nImjL17XPA+l0OrZ/vZ3NX27mWto1egf1ZvFDixkZ0uCoj1HqezbA70d/Z92H64iJiMHZ1Zm5d83l\nlrtvwcrayiTPV0zDmDmocGPGCluD2c1B1UKVSFJMpfI8VUuXUjp/9jxLpj6Il28gmi5XyUjLID0h\nHSE0ePftBRYFFGQWoC3UcvM9N5Obm4unlycZyRmc/v00RcVF2FjbMP2m6Tz68qPl960tmWDA8AE8\ne9ezxJyOwcbJhpLSEtDC1UtXGTRmEJ7+nk0qbWRsOaJNn2/ig9c+YNYds8jNzyX5YjJJMUl4dPPg\ns58/U0GqFZgySeJN4CrwLZBnOC6lvNbcRjZWewhQgMryU0yqNer+LZm2BCF6UmB7iRlPTOebp9bQ\nZ3x/YsKisLG346U9L5B4OpH/Pvhfunt254s9XzQ53XrrV1v56G8f4TnQkxufvBH/wf5EHYxi56qd\nJJxI4N0j76It0Ta4QWFjPje4ln6NucFzefXfr3Ls5LHy81NiU3hr4VvMmj+LZ1Y8Y/Lfr1KVKZMk\n7kSfar4fOFH2Cm9e8zq4snkpQCVPKM3mlzALz/BFVeapTFmh4lLcJRLOJ4BdAjOfnEFhrqBUWmDl\nYM3t79xOWlwqedfy6DW8F4veWsTpo6cpKixqcsmfLWu3YONkw41P3kiv4b3QWGqwc7Fj9kuzcevp\nxsHvD9a4V0PPMrYtP33/E5NunsTZyLNVzvcN9GX+8/PZ/s12k/xOFdNoMEBJKXvV8urdGo1r70Jf\ncFMVKBSTCQmpqPtnqFBhCFbNkZGeQXe/7uTk5NB/jC9517Jx9fUgLyOHvuP7Yu9sT26Gvg5mYEgg\nCMjLyWtyplxGWgZanRb/wf7lx4ryi+gxrAfCQpCdnl3jXg09y9i2ZFzJwK+3X63nB40PIi8nD8V8\nGJUuLoQYJIS4Qwhxr+HV0g3rMCpn+akgpZiAYSNFQ90/Q4p6U3tV/gH+JJxPoIt9F84dvYRngDeX\nzlzEvqsDZ3afIT8rH1df/TqnE1tOoLHQ4Ozq3ORMuT4D+iBLJImnE8uP2djbkHAqgaKcInwDfWvc\nq6FnGdtcwD2zAAAgAElEQVSWgAEBnAw7Wev5RzYfwa2bW71tV1pXgwFKCPEK+m3f/wVMAd4Gbmnh\ndnU8hsw+tRGiYkKGFPX43QObXPevq3tXpsyZQmayJT/9Yxel2lx6DvUjNeoy3z39HQFj+mFlZ0Xs\nkVi+W/4dE2dNRKPRNHkjv0UPLSIzNZNtb24j/mQ8Oq2OgswCNizfQN61PMbNG9foDQqNbcu0W6dx\nMeYiXWy6VDk/6lAUm1dtZvFDixv1u1NaljFJEhHAEOBUWbp5N2CtlHJGazSwsnaTJFEPleWntKT9\n+/Up6gAj+7tw7dQ1o0ry5Gbncu+Up0lLicfRzZL8vHwyUzOxsLDEtbsnOllAztVcuvsNZNOpNVhZ\nWSIlrHk7npjYnVjZXGpUyZ9vPv6Gf7z4DxzcHJBCoi3UUpRXxLTbpyEshUmy+OpqS/Tv0Tw6/1G6\n+3XHposNaZfTuBx/mXn3zePF915syq9daSRTZvEdk1KOFkKcQN+DygGipJSBpmmq8TpCgAJUiSSl\nxUVpIyhw3EzcsSOMXDiaPoN8ybmYU2+WnZSSY78eJ2zXQSwsLJg4cyK5OXmEHziOtbU1XRxvI/ni\nWMZMyWPmgix2bXDm6N4u5e+FaFwbUy+lsuObHWSkZdA7sDc33XET9g72JvoN1K+woJCfvv+pfB3U\n7EWz8elp3qWmOhJTBqh/Ay8Ci4Bn0G/R/puU8n5TNLQxOkyAKqN6U0pL2rLreXynBeE7sgs2ntex\ntgJSC5pcj05KyoOSQVODk9K5mSzNXEr5iJQyU0r5MTADuK8tglNHVCXLT81NKSaWlZvEgOHeuAhX\nMk8HUJBjTaGLDVHxF5pUSkkImLmgaiEZFZyUllTflu/Dq78AV8Cy7GfFFAxrptJUEUvFtJwd/EhP\nSgGge3dwyPEj/idbCi+OJjuHRqeoG3pQle1c78DV1Azy8/JN2nZFgfpr8Rm2dbcFRgK/AwIYjH6h\n7riWbVrnEur5A6tXoOalFJMJ7reAYxtXM3r+RDz8vElPSiH+wEFmTgrFM3w0UdoIjstIYpwyy6tT\nSEmtPaLKw3tjpuQxfd51/vzH73j14c+xsCiktLSAG2bdwBNvPIlfb99W/qZKR1VngJJSTgEQQmwE\nhkspI8reDwJebZXWdSZLlxK6fz+rw9Cvl1IlkpRmys4ajX0BnPpmA1m5u3B28MNeF0p21mgAiiOD\n2fV1MJNe2snmnEikhLiDfgz382Hy7Jwq9xICbOxKy+ec3nz6Lc6eimXq3K+YeXtPRoVc5puPv+EP\nEx7g6bc2Mu9eB5N/H7VJYOdTbzXzMv0NwQlASnlGCBHUgm3qvEJCCA1Bn+WnelNKM0gJJSWQkTGa\nwMDRzJ0BJ05AdDR4eEBpqf5zISBt4yxGjIC1a6HQ8zz5o5LpMzMHX6uqWW2TZ+cgJVyKS2Ln+p08\n/fcD/HbUi+LCPLo4OuDX+xk8fUr4eeMabrvnCZPOTdVWa2/L11sAVJDqwIwJUKeFEJ8Ca8ve3wWc\nbrkmKao3pTSXEDBihP7n6Gj9CyAwUH+8ts+FgGFufbB3LOBETBKxjpn083YBKN/yQwjYt30f02+b\nzi33lGJrn8fRvV3KM/tuvWcB6z68FyFMu2tt5Vp7QEWtvY17VIDqwIwpdXQ/EAk8UfY6W3ZMaUnV\nSySpLD+lkSoHIQNDcKrv8wFW+t1+0+Ncaq1OUVJcgq29ba1ZfdNv01FSUmLy76J2yO2cjEkzL5RS\n/kNKOa/s9Q8pZWFrNE5B35syZPmpqugKcP36JS5cOMz16/Vn4EkJR49qiY9/iejoe8nOPk54eClJ\nSaeJjz9KUVE+x4/ryM09SU7OcUpLizhxQn8d6AvT+iXMqlFFfdSkUezZsgetVlcjq++D1w4wKmSU\nyb+z2iG3c2pwiE8IMQF9UkSPyueriuatK9TzB/2QH6hFvZ3U9euX+Oqrh4iLO4KHRwDp6ecJCJjI\nXXd9hIuLd5VzpYQ337ydixc3lB9LT/+S338X2Nv74+bmRmpqDKWlGhwcvHBwsOHcuSukpCxHyicY\nOVIghH6uyrDbb9SFCI6VRuLsKXDt7cb9s1+nV4/3mDAzjxnzM/nwtQi++OfHPPyXL+rMBmyqhnbI\nVTomYypJRANPod8HSmc4LqXMaNmm1dTRKkk0mtoIsdMqLMzl5ZeH06fP3dx333PY2NhRVJTPZ5+9\nSXz8et544wTW1hVlgtate4xff/0AIcby9tt7SUk5xAcfzKOkJAfQEBq6js8/fxIh3AkKmsXDD79F\nSko0K1fegZ/ffTz11DNs3gyFhbBwIVhY6IPVmjXHuFb6JQ4u50k6F0VO+hW8fN3Jup4FEqbd8ixT\nb723RhagKagsvo7DlKWOjkopx5isZc3Q6QNUGVUiqfP59dePCQvbib//D+WJDoasvIsXZzN58nwm\nTqzI+HzoIUugG5BM167g6jqZpKSHKCoKBgbRpYsHfft+Q3LyIK5f78eKFeeJiXHn1KlYzpwZz5tv\nJrJlix1nz8KAAfogtWbNMa6L1UxYPJHh4735deNBoo5vImB8X4ImBODt4c3Rb482uKOuophyR929\nQoh3hBDjqlWVUNqI2gix8zl79idmzFhMYKA+KH31lf7PwECYPn0xkZE7q5wvpY4//ekTunaFa9cK\nOX/+MEVFC+jSZSBgSV5eBg4OUwgO9sTRcSL//e+vREfDsGF96datF5cuhbNwoT44nT0Lr70GiWkb\nmLB4IiNv8EOj0VCYc4Gbn1pA75GD8BzQF61HF/xuGsDWHVvb5pekdDjGBKgx6CtJ/B19dYl3gZUt\n2SjFCNWz/FQCRQcnkLK01qw7KXUIUfP/ykIU8/rr+mv1SnnzzcpnSBYuBP3IvUWN+1lYUPZ52f0s\nkxg+3rv8btkZV/EN6oEo0WKXHoBdegCO9v2Ju5DapFp/ilJdg0kShooSiplaupTQNWtYHeuphvva\nqStXYkhIOIGdnTOBgdOwsrKpcc7gwXM4cuQLhFhERcCB8HDJkSNfMm7ckirnW1ho+Oqrh7C2no8Q\nNkg5CfiGZ58dAGixsvLh+vWf+PzzHmRl7cfd/Q6Ki6+wbds50tMvcO1aEjk519ixw7X8nlLrx8lD\nKYy8wQ8BOLm5cykqAWuriqoRJZcK8NCN1mf95UTSpw8MtBlo1O+hpLiEo/uOkn09m8AhgfQOVHlY\nnZ2xW77PFkL8nxDiZcOrpRumNELfvvo0dNWTalfy8zP58MNbeOedG/jttx/YufNNXnjBn+PHv6tx\n7siRi0lJucSPPz5Hr16Z3HUX9Op1nR07niIt7SrDh98O6BMZAKZN+z9yc9O5di0QR8erPPXUq8Aj\nFBWNBmxYsuQjoqJu5+jRYGxsfLC338zx4/5s2zYJW1t/jh79iuXLAzh69GWCgiSvvAL+ngsI+/og\n4QeS0Ol0dPcPYM+/f0KXbUOpTseVi0kc33SQ4H4L8EuYRcaRgZw/ry9K21Bh2r1b93Jjvxv5z4r/\nsHfrXv446488fMvDZGZkmv4Xr7QbxiRJfAzYo9+s8FPgduCYlLLVa/CoJIkGqI0Q25X33puJRtOX\n0aNXMXq0DULAxYsneO+9Odx443fcdNMNVc4/ciSd/fufJCVlO87O3cnKuoyPz1xCQt5jzBi3Gll3\nTzwRSmHhf6o9VQN0xcEBcnOvA12xtrZCo8mnqKgAIXri7n4br7/+Ft9+m8qhQ3MZNmwRS5Y8U57F\nVyA30NU9CWcHP9wdArmaG01Wrv59cL8F9Oo5usZ3jdJG4DY2EidHygvTGkQcj+CxBY/x+OuPk5SU\nRFpqGm4eblyJu0LqpVQ+/+VzhNrTo0MxZRbfaSnl4Ep/OgA/SilvqPfCFqAClHFUlp/5S0g4wccf\nL2DevAvExGiqZObt27eGoqIfePHFrTXWEkkJ+fnXycq6jLNzd+ztu5avV1q/nipZd+vXw+nT4O7+\nOb16xeHk9AAXL/akR484fvppIq6um0hJGY2vbyQpKRPx8TnJpUt2FBcP4J13LhId7Ux4eCTR0dN5\n550ErKysKS3VB7+mSuqxExuPTPr0AReNCz6WPjx717N4+XpRZFVUZZ3ToXWHOPDdAVZ8voLhE1Re\nVkdibIAyphZfQdmf+UIIbyAD6N6cxiktK/QFN31vKgyIjVW9KTMUG3uAwYPnMGqUBguLqvXyxo69\nlQ0bnq11oasQ0KVLV7p06VrluCGhwRCkXntNf3zwYFi4cAkWFvrgduIE/PabBQUFFvj4jMHeHi5f\nzqekpDe5ub0JCICkpIF8/vlvuLhMYuTIgSQnO3L16gW6dw9qVnACfXWKqAsRZBwBh4BkbDwiCQ8L\nZ8bCGTVq7Y3/w3iiwqI4GXZSBahOypj/3LYJIVyAd4CTwEXg65ZslGICqkSSWbO2tqOgIKvWenh9\n+2ZiZWXX6HtWz7qDiuE+qKi9Z2FhR2lpPlKWsGwZCGGHlFlIKVm2DLTaTDQa/fOHDdNRWJjdpPbU\nJcgymCDL4PJ5KqmxJPrChVpr7WVdy8LW3tZkz1baF2MC1NtlW75vQF/uKBD4a8s2SzGVUM8f9Oul\nVJAyK0OG3EpExDaysq5w4kTFcSm1rFnzHK6uPdm//xPy8q7Ve5+CgmzCwv7L9u1/JTz8e779trjK\n5+vXVyROGHpQ1tbdsLcfRHr6d3z4IVhaDgKsKC7+mbffPoBOl4eDgz5qbtz4A127+uHu3tOE375C\nkGUwowYuIT0uk/CT50jJuU5KznUALpy8wJWkK0y7ZVqLPFsxf8YEqMOGH6SURVLKrMrHFDO3dKla\n1NvKqk/r1jbN6+zsxdSpT7JixXSOHNlD//6SMWPCOHbMk8TEHdjZjeDcuX38+c8B7N//Wfl1paUV\nAefEie958cWeRERsp6gon/XrP2T//gD8/E7yyiv6uajISH2Q0un0wensWf3i3tDQt7hw4UliYj7B\n1bWApUvfIjPzdi5enIu7+1vcfnsxQvyXX399mEGD3qn1O5jKjBnPkJeaz9o/fs+JLwvIva5hw5of\neWvxW8ycP5Pu/mpGobOqcw5KCOEF+AB2QohhVCy+cEKf1ae0F2ojxFbz++/6jQAN21oYei1WVjBk\nSNVz58x5mfz8Hpw69ThRUbFotSV06TIeV9d1hIT4M2wYfPnlOdatm8rx4/3p02c8+fn6Ibvi4giO\nHXsEF5c9dOs2lHnz9KO5sbEbOH16DsXF5+jb15GYGMjKAo0GLl2CzEywtIS+fccxevSPnDr1GtHR\njxETA66uA8jLsyAl5W6eeQYCA6dx001b8PUda9LCr9U5OXny4gvH+Wrdw6x76TlKX9Bh28WRkQsn\nM235opZ7sGL26kuSuBFYAviirx5h+E80B3ixZZultAi1EWKLMuxia0h2qFwvLzCQGhW+hRDceecS\n7rhjCUePruXgwTVYW+/lwgU4cAAGDYKzZ/sj5YtcvPgeXl7jOX5cfw9n5w+xsXmcjIyhnDkDc+ZA\ncTHodAuwtv6Kw4e/Ii3tIUpKwNlZ34MqKoKMDDh3Tp88MWjQSCwsthIYWMKwYRIrK2t0OpCyGCEE\nGo2VyauS18XFxZtlj2ymtLQUna4YKyv9vFNS/E425zZuwa/ScRiTZr6gbP6pzak0cxMyrJlSqegm\nZegxGYIUVN3Fti6bNr2AjY0DN974Eh9+CHFxFfezsTlHbu5cPDxiyM42BMIxODq+R5cu49BqK+7j\n5gaFhR+Rl/c7fft+jJWVPnAZenPW1vog2pi2tTXDGioDFazaP1MWi/UVQjgJvU+FECeFEDNN0Eal\nLRnmpmJj27olHUpDu9jWxd6+K5mZyWg0sGxZ1fvdc08SFhb6tHInJ3B0BAuLrkiZXKMTvGwZFBcn\nYWmpP3/hwqo76FbP8jP34AT6RArP8EV4hi8qr06hav11Dsb0oH6XUg4RQtwIPAT8GfhSStnshQlC\niFnAP9Evb/9USvlmfeerHpTpqUW9ptXUHtS1a4n89a/DeOaZg6xevYv09AiEcEeIu4Dl2NreSJcu\nj5f3oCwtv6Sw8BM8Pfeh01WM1NvahpGYeCNdu87E2XkyPj73IqVLrT0oKUtxcNhNQcEWSku1BAXN\nYOjQW9ForFrml2NClRf8qt5U+2PKHpTh/1Y3A19IKSMrHWsyIYQG+BC4CRgALBZCDGjufZXGqbJ1\nx5o1bd2cdq1ycAoMhLvuonx7jMpbqdd2naurP8OG3c7rrwdz5cp63Nz6M2xYCiUloygpOYOl5Z/o\n169iHmvYsEVYWDiTnHwTWu0+Hn00mby8BVy8OBkbm8HMnDmLvLwjhIX1p6DgEIsX64PT2bP6hI0F\nC/KIi5vJgQPPU1jYG2/vQezZ80/+/vdRZGente4vrgkq1/rbm6iv81dfrT+lfTKmB/UZ+my+XsAQ\n9L2dfVLKEfVe2NCDhRgHvCqlvLHs/QsAUso6c6FVD6plqd5U8zUmi6/y+YMG5fHnP/dGo3mU3Nz9\nWFufwcXFHVvb+cTHr6Nbt/fw8ZlNfj54eYGdHWi1xRw8+AlS/hchEigsLMTJ6V+MGfMA8+cLTp2C\nHTt+JDX1ft59N56oKDuio6F/f4iOfpxLlzLw9f2CwEANQ4dCaanko4+Wk50dzQsvbG79X14TJfXQ\n74Vl45FZa60/xfyYstTRUmAoECelzBdCuAH3N7eB6INeUqX3l9DvPVWFECIUCAXwd3Wt/rFiQqEv\nuJVtK4++R6Wy/BptyJCq2XqGOanahvcqZ/2dO/ctvXqNxd39L0RGwsCB+vmikydh374ACgv/zbBh\ns4mOht69YdQoOHHCmtzcxxg48DEOHpyJl9f9FBcvxt9ff2+dDvz9b0LK4Zw48T3jxt1DcDBotfn8\n739rue22CJKSNGi1+vNPnhQ4OLzCuXP+ZGQk4ubm37q/vCbyS5il/yFBH6wau82HYr7qHOIrWweF\nlLJUSnlSSplZ9j5DSnm68jktSUq5Wko5Uko50sPBoeELlOYp2wgRUEN+TVQ9GNU192QIXoGBEBcX\nQ3b2WIqL9cGppATWrdMHr6FDx1JYGMPIkRAUBDExFTvqDhyov0daWgzTpo1lwICqO+4GBemvT0uL\nAfRrqLKyUrGzcyYkxKfGDr0DB9rj7z+Iq1cvtPBvqWX4JcwietWiKkN/SvtV3xzUDiOuN+acuiQD\nfpXe+5YdU8xA6IRI/cpPFaRalCFIWVt7k58fXWumnbt7NC4u3vVmCDo7e3PlSnStn6emRuHi4l1+\nzMHBjby8axQUZNY4f+hQLenpsTg7e9NehYSAZ/gi0uNcCD+Xyd7ESJX1107VF6CGCCGy63nlAN2a\n8ezjQF8hRC8hhDWwCNjSjPspphQSUhGkOmCJJGPKEbXGs6WE8HDw8FjMtWtbyMs7y/r1FZ+Xlhax\nYcMKxo9/oHw+qzJD8sWECQ/w449/59ixqrX4du+OIDJyJyNHVlRksLNzJjh4Njt3vlXjfuvWfYqr\na0+8vPqb6uu2GUNv6thr+mC1OTKSyCIVqNqTOgOUlFIjpXSq5+UopfRp6oOllFrgUeAnIAr4rixD\nUDEXZcN9oZ4/6INUB+lN/f571aw6w1/8v//eus+WEjZsgB07wNnZg7vv/hdnzkzl0KG/kZJykICA\ntZw7N57S0h5oNHcTHl53huCYMUvQ6brx3XcTsLT8ijFjDpKf/wZbtkxn7NiPsbevuj3H7bev4siR\njWzadCdduvzIiBG/kJ7+IMePv8Hw4Z+2asBuSSEh+lflob+GdvdVzEeDWXzmRGXxta2OkOVXPRW8\nejmilly4Wv3Zw4fDRx9BQoL+5zvugP/97zSnT3+IlVUEPXq4M3bsfZSWzsPaWv9vyfoyBE+d0hEb\nu5G0tC/Iy8vA13cIHh7L6NZtUK0ZhMePZ3PmzH+5dm1z2TqomTg7P4iTk2et53cUag1V2zPZjrrm\nRAUoM9ABtpVv6mLalnq2paU+8Bie3a+fPkvP8L5yVmD12niNfV9bexpzfkexfz8EPv0NACP763f2\nVVqPKRfqKkoFQ4mkNPNfzFmXppYjaqln33FH1WdXDk6Ga2r7uSnva2tPY87vKAyJFBlHBhJ+LpPN\nkZFq6M8MGRWghBAaIYS3EMLf8GrphilmzDC8t2JFu9wIsb5kg7Z49vr1VZ/dWm1Rqtb5K0rXZ/2p\nRArzYUwliceAV4ArQNlWaUgp5eAWblsNaojPzOzfz+qwsjH8drKot7FzUEVFeezb9xHHj39Ffn4m\nPXqMYOrUp+jbd0L5OaWlFduq1/beMGxmeHZUlH590vDh+uB09qx+c8GFC2Hr1p85cuR9iosjcHNz\nZ+zYe5kwIRQbG5sa91NMTw39tQ5TVpJ4AugvpcxofrOUDqUdboQohD6poHIwMgy5WVlV/Yu/sDCX\nl1+ehpWVN/fe+09cXX04c2YX77+/kMDAFSxbdh+bN0NhoT64WFjog9P69WBrC7feWrP0kaWlviae\nlZX+/P5l2dyBgbBnz3scOPAePj4vM2LEe3h4xLNhw9vs2rWZO+7YzvDhNg2WTlKaJyQECF9ElDaC\ncCKJccxUpZPakDFDfElAVks3RGnHKs9LtYM1U0OGVO0pGYJU9b/wf/75PWxseqLRbOS330Jwcwsg\nLe1hnJz2cPbsk+TkZFFYqO8BrV9fEZzOntUHLZ2uopSRYdhOq9UfKynRvx86VB/c/P2T2b79debM\nOYCHxwPY2/emf/9p9Omzg7w8C/buXUNpaUVvz3C90jKCLIOJXrWI7BzK10+pob/WV+cQnxDi6bIf\nBwL9ge1AkeFzKeWqFm9dNWqIrx1Ys4bVhJp9T8oYf/lLPx544GuOHRvB2bMVxwcMgOvXbyc4eDbj\nxt1fHpQqf27oURmbMbhr10rS0mK5665Papyfnb2LuLhXGDr0cJ3XKy0nShsBUL5pohr6az5TZPE5\nlr0Sgd2AdaVjqiieUru+fTtMiaTc3Kt4ePSoUXpo4UJwc+tBbu5VLCxqliYyBCcwPmMwN/cqrq49\naj3/ttt6UFJytd7rlZYTZBlcnkxhyPpTpZNaR32VJF6TUr4GnDX8XOlYVOs1UWlXDMVmDcN97TDL\nz8DXdwjR0fuqlB4C+O47yblze/H1HVw+rFeZYbgPjM8Y9PUdQkzMvlrP/+abvXTpMrje65XWUX3o\nT6Wltyxj5qBqS89qHylbSpspL5HUjjdCnDr1SdaufZGIiMsMGACvvKIfvgsP/zfXrhXRt++MKll4\nhs8Nc1I6nfEbGA4bNp/U1Gi+/fbr8vP/8AfQauOJjf0b/v5P8Ic/GLcBotKyqq+hUr2pllNnFp8Q\n4ib0u+j6CCHer/SRE6Bt6YYpHcDSpYQCq1eU9abaWYmkYcNuZc+es8TFDaS4eCHbt3tz8eJPaLVX\nGT36R6ytLbC1rTrntHBhRRafRmN8xqCVlQ2PPbadVavm4OT0KS4uk/jii3hOnPiBPn3+zrhxIVhY\n1H290vqCLIPZvyqYXveoPahaSn1JEkOAYcBrwMuVPsoB9kopr7d886pSSRLt2Jo1rO77TrsKUAZX\nryZx6tR35eugBg6cg5VVxb/tjF0HVdf7yrTaYk6d2kRKyhkcHNwZNWoRDg7d6r2f0vaitBG4jY3E\nyRH6ebsAqESKepisFp8QwkpKWWKyljWDClDtWDtc1KsojaW2nzdOsxfqCiEiAFn2c43P26KShNKO\ntcNFvYrSWGr7edOqL0liDjAX2Fn2uqvs9SPN20lX6cza2aJeRWkqv4RZZBwZWL79vNJ4xgzxnZJS\nDqt27KSUcniLtqwWaoivg+kAW3coijHUHlRVmXK7DSGEmFDpzXgjr1OU+i1dWrFmqh2vl1KUhlTv\nTan1U8YxpljsUuC/QghnQADXgQdatFVKpxLq+QOrw8retMMsP0UxRpBlMIQHk9RjJ9k5mWT2yVS9\nqQY02BOSUp6QUg4BhgCDpZRDpZQnW75pSqdhmJdqx4t6FcVYfgmziF61iPPnVTWKhtS3DupuKeXa\nSkVjq1DFYpWWsHpF2a4u7WxRr6I0RWedmzLFHFSXsj8d63gpismFvuBW0ZtSWX5KB6d6U/UzJovP\nVkpZ2ErtqZfqQXUuqjeldCaVq1F09AW+psziOyOECBNCvCmEmF2WLKEoLa684GxsbFs3RVFaXPVK\n6YaNEjszY5Ik+gCLgQhgNvC7EOK3lm6YogAV+0up4T6lEzBUSvcMX6SG/jAizVwI4QtMAG5An8kX\nCRxs4XYpip4qkaR0UiEhQPgiorQRhBNJjGNmhx/6q86YOahS4Djwdynl5lZpVR3UHJSi5qWUzmj/\nfgh8+hugY2w5b8o5qGHAF8AfhBCHhRBfCCHUP2E7gVOJiXx68CAbTp4kv7i4rZsDVNsIUVE6ic66\nSaIxc1C/A/8DPgP2AJOouj+U0sGkZWcz5d13ue2jjzh04QKrDxzAf/ly1h071tZN0zMM8al5KaWT\nMSRSpMe5dIokigYDlBAiHDgMzAOigBApZY+WbpjSNqSU3PbRR+Tm5jKzWzesMjPpCUzp1o0//e9/\n3PH++w3dolWEvuCm/2HFClXHT+lUQkI6T6V0Y2rx3SSlTG/xlihm4eD581zLyyPE1ZXV7u5VPvtU\no+GvCQlt1LKaQl9wK9sIEf2Qn9oIUelEKtf266j7ThkzxKeCUydyOC6O2cHBtW5SOdvVlSsFBW3Q\nqnqEhFTMS61YoWr5KZ1OR+5NqW0zlCocbGy4mptb62cZJSVYWZjpfzJqI0SlEwuyDMYzvOPNTZnp\n3zZKW5k3bBhbTp8mX6ut8dkHKSkEODm1QauMVNabAtS8lNIpVa7t1xH2napzDkoIMb++C6WUG03f\nHKWtdXd25tkZM1j544/ssLJiZteuJBcV8Y/kZH7JzGScv39bN7FB5ftLxcaqRb1Kp2NY4NsR9p2q\nb7uNz+q5TkopW33TQrVQt/XctHIlJ5KSuFpYiLWFBW6WlvhYWiKsrBjqU7FI0N7ZmX8sWdJ2Da2H\nWgjaQasAABdGSURBVNSrdHaGBb7mlkBh7ELdOntQUsr7TdskpT358dlnAX3auRCCB//5Tz5xc6tx\n3oMZGa3dNKOFvuCmL5GkelNKJxUSAlFHBgKRuPRPbncVKIyagyqrYv5/QoiXDa/mPFQIsVAIESmE\nKBVCNBhFlbZTWzZfu7J0qT5QpaWpDD+lUwqyDG63FSiMWaj7MXAn8BgggIVAcxfqngHmA2omW2kV\n5Rl+KnlC6YSqV6BoL8kTxizUHS+lHCyEOC2lfE0I8S7wY3MeKqWMgg7wr/N2pKikhA2nTrEzUv8v\nqNmDBjFv2DCsLWv/T+Bqbi6fHzrEicREXOzsSM3PR7q61vm/WXRqKv8NCyPx2jV6u7vzx4kT6e3h\n0WLfp9FCQghFLepVOq+QECBhFlEX2k91dGOG+AwrM/OFEN5ACdC95ZqkmFp6Tg5j3nyT/xw4QEjf\nvkwMCODDffsY/9ZbXMvLq3H+4QsXGPDqq0QkJzMnOJhe7u7sTU7mwfPnKa0lqebDvXsJWbkSjYUF\ntwwZQrFOx+gVK/ji8OHW+HrGU4t6FaVdrZkyZruNvwD/AqYBHwIS+FRK+ZcGrvsZ8Krlo5cM23YI\nIfYBz0opw+u5TygQCuDv6joiQS3CbLQ7Vq/mQkoKI1xcyntAUkoOpaai02iI+tvf6P/449iVlFAq\nJVFS4ga4A6VCcENQEGExMcRptTgJQR97+/J751pbE5uby609euBobV1+PLOoiC0JCZx59VUCzKkn\nZbB/P6vDyv71qHpTSifVVtvMNzuLr5K3pZRFwAYhxDbAFihs6CIp5XQj7t0gKeVqYDXo08xNcc/O\n5Ep2NrujorjNz69Gbb3rzs54HTvGtbw87EpK+M3GhvU6HR9rtfQBPhGC73U6bndzY7+DA3lCcF92\nNgeHDy+/x4AzZxjg4sK67jU71UMyM/n04EFWzJvX0l+z8SpvhLhfpaErnZO51/MzZoivfJxGSlkk\npcyqfEwxbwkZGQS4u2Ot0dT4rKuVFV2srLh0/Xr5sQulpYyoo5zRCEtLsktLqxzLLi7Gw86u1vPd\nbW25kN4OSjmGhanhPqVTq16BwlzUGaCEEF5CiBGAnRBimBBieNlrMmBf13XGEELME0JcAsYB24UQ\nPzXnfkrdfFxciM/IQFstsADkaLXklZTQ3dm5/JifEETWci5ApFaLQ7Xg5WBlxfWiolrPv15UhF/X\nrs1ofSuonIautu5QOrGQEIhetYjsHMwmy6++Ib4bgSWAL7Cq0vFs4MXmPFRKuQnY1Jx7KMbx6dqV\nsb16cfLyZf5WUMDOst7SRCcn9mZl6dcNrF5NupTkSMk8jYYnS0qwFAIqZexFarW8np9PkZTMjYxk\nSbduzHNzI9DFhV+Sk0krLsaz0hxUUlER0devs3bChNb+yk2itu5QlIqFveaS5WdMksQCKeWGVmpP\nvVSpo6Y5EBtLyMqVeAJTheC6lOz6//buPrquqszj+PeX1ybpa5q0kEJbpG2gtEyFKmXqRHDQVRV1\ndKHgDGq1Whh1yazq6CDqMOjSUWZYAzIKqEwdYCj4woCgpWUEawO09M3S2pYWWhpKbZq2Sd+bJnnm\nj7NvuYl5uW2TnJN7n89ad+Xcc0/Ofe5Jmyd7n2fvHV4bDZRINIR/B5cDNRJfNeOTQDnwp1GjmF9f\nz3DgrLw8KgYNYu2xY4zIy2NESQltxcXs3r+fG6qqmFJWxqqDB/n+668zbsQInr3lljg+8mnxKZJc\nrktNkQQwvXp4r89A0ZtFErWSfgJUmdm7JU0GLjUz77QfIL75xBOMBCbk57O0rY1dRIlnHLATeGXQ\nIBYcOcJDwFJAZrwJeBRoAo7V11MlcUdeHsrPZ2RREccKC/nCwYMcOH6cWRdcwCs7d3L3vn0cqq9n\nSGEhl4wZw7gzOiviTL52rSnwJOVyTmrC2Q0t8Y6ZyiRB/Vd4pJouLwEPAZ6gBoC6vXtZXVfHpNJS\naocOZdXx43yksZELW1u5n2gcwC4zqvLyuBsY09bGgpkzGRTuNc3YtImpkyaRt3cvH+owF9+3Ghq4\nYfv2xE4We1pqapi7Oczj5wnK5ajzC6ay5LapnPOxhawfvb7fK/wyqeKrMLOHgTYAM2sBWvs0Ktdr\ndjY1Ma68nLxwP+n11lYm5ecjoFSiHKgP3XujJPKAprS1oA63tFA9enSn564uKel03aisMWeOD+p1\nOa+mBg6+PIYtW+j3Qb2ZJKhDkkYSDdBF0gyinh83AJxTUcHLDQ20hCQ0qaCAVS0ttAENZuwhqtwD\n2BKOKU+b/mhYcTHPb93a6bmfP3CAYWmFEVnJV+p17sSEs/29EGImXXzzgMeAcyXVApXAVX0alevR\nvkOHuP23v+V/li+n6cgR3jJ+PF985zu5vLq63XG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lHWQ+MUiSEqKU7fljD1Pem8Ki3UsY3GYpkRe+I/F2InbO9iTdcOP2rZPUbFGT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\n", 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SUmjftT1jp4/F1s62Ln8EV5Sbk8u6n9eVPQc1/s7xeLX1apBzi7oNUP8FFgB3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\nVkhOUGZmVkhOUGZmVkhOUGZmVkhOUGZmVkhOUGZ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1160,9 +1162,9 @@ "outputs": [ { "data": { - "image/png": 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lS/n+++/Zt28fkHpgbdOmDcHBwTRq1EjeY5EpScJ2QJKwuNfFixeZMmUKs2bN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Bubk5jh07Bm9vb4SFhQkdjQiMChcRhEQiweTJkzF+/HhIJBJ8+OGHuHz5Mpo0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\niDWalsW5qstfHvqS/ov62yZ0eP31KrqzfTuEhdXZlNeSrOHp6UlFRQW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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1237,9 +1239,9 @@ "outputs": [ { "data": { - "image/png": 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5Wh65VHHB0sqStPtpJR6XUjT53ZPqDvQAvIUQs7O95AykF3dgilIe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\nuHs3x69fN3c4iqIoD2XM5b4kIYQH2g/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j+e3N3zi16xSpiansmLeDdd+s49Yxt5Y5ryVthK621VD74PZ07tmZ0DWhrPjP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\n9WlQEPNWrWKGu3uJ8c9culQLUQohRAF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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1403,9 +1405,9 @@ "outputs": [ { "data": { - "image/png": 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dg8/e/ozEhIrbJLYkDLmSCgN+EkJYABloS9KllFL92aAoFdiCGQvY88seXnzv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\nw98REWsl/VX2cNwWEb+QdKak/yabT/UreWY2M7O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VCdwfyMzpM5nyzBRmTp9J4P7AYsceTAhl0BN3c/ZwGEveXkz4qVN0vq8V8VHx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\nxgiFEKIoc4ok2mmt/fK936qUOlHeAyu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rGmtNf7a6oDJJyif/V03ZjWb6bwLqsvR39B5lKWSSqjkySVVOXU1YGkUr2nx8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\nV/z3jvEbbs42s3Vm9ou4/d7sP1cADIp7/hr/O3xoZn81s3b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3fxG4MLBsaOv1xa8z9empdO3TFRc3FwAunbzEL6t/Yf3W9dWOB0iKSSJ8czhP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\nbz+Vh9XRGbvk+xwhxJ+FEH8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G6u955536+aNz5/RliO68Exwdf2HTpvk8+2wv3nhjFHv3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\nwKXSgnoI+G+C4eF/JSkHeM7M5gxFgMm8BfX21e/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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1537,7 +1539,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python [default]", "language": "python", "name": "python3" }, diff --git a/code/ch04/ch04.ipynb b/code/ch04/ch04.ipynb index 30e25bc7..a0952211 100644 --- a/code/ch04/ch04.ipynb +++ b/code/ch04/ch04.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Copyright (c) 2015, 2016 [Sebastian Raschka](sebastianraschka.com)\n", + "Copyright (c) 2015-2017 [Sebastian Raschka](sebastianraschka.com)\n", "\n", "https://github.com/rasbt/python-machine-learning-book\n", "\n", @@ -44,21 +44,18 @@ "output_type": "stream", "text": [ "Sebastian Raschka \n", - "last updated: 2016-09-29 \n", + "last updated: 2017-03-10 \n", "\n", - "CPython 3.5.2\n", - "IPython 5.1.0\n", - "\n", - "numpy 1.11.1\n", - "pandas 0.18.1\n", - "matplotlib 1.5.1\n", - "sklearn 0.18\n" + "numpy 1.12.0\n", + "pandas 0.19.2\n", + "matplotlib 2.0.0\n", + "sklearn 0.18.1\n" ] } ], "source": [ "%load_ext watermark\n", - "%watermark -a 'Sebastian Raschka' -u -d -v -p numpy,pandas,matplotlib,sklearn" + "%watermark -a 'Sebastian Raschka' -u -d -p numpy,pandas,matplotlib,sklearn" ] }, { @@ -1178,25 +1175,25 @@ " 0\n", " 10.1\n", " 1\n", - " 0.0\n", - " 1.0\n", - " 0.0\n", + " 0\n", + " 1\n", + " 0\n", " \n", " \n", " 1\n", " 13.5\n", " 2\n", - " 0.0\n", - " 0.0\n", - " 1.0\n", + " 0\n", + " 0\n", + " 1\n", " \n", " \n", " 2\n", " 15.3\n", " 3\n", - " 1.0\n", - " 0.0\n", - " 0.0\n", + " 1\n", + " 0\n", + " 0\n", " \n", " \n", "\n", @@ -1204,9 +1201,9 @@ ], "text/plain": [ " price size color_blue color_green color_red\n", - "0 10.1 1 0.0 1.0 0.0\n", - "1 13.5 2 0.0 0.0 1.0\n", - "2 15.3 3 1.0 0.0 0.0" + "0 10.1 1 0 1 0\n", + "1 13.5 2 0 0 1\n", + "2 15.3 3 1 0 0" ] }, "execution_count": 25, @@ -1864,7 +1861,7 @@ { "data": { "text/plain": [ - "array([-0.38382693, -0.15807656, -0.70044843])" + "array([-0.38383346, 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00cgA1UycaMQgGrUAJxoxCzONagONaiNm0YRe6PC06fGyG/DEAze7AbPRwony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\nU2joAAAAAElFTkSuQmCC\n", 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hhJlA0EmoqkpNTQ3FxcUUFxdTUlJCcXGxd6WkTqcjKiqqXWsYQBHNIuw7YH9j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\nYq2pRZhr6afsJdGxm7iaHKI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EuW1cPje3OTbt3//W4tV8fLQ0bJMna0Ktf/9mj2plfaUm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hQzAACAQFDMgPG4Jul83EMAAKYLxQwYjxclZc3sh9sLzOzTZvalGGcCAASOYgaMgbu7pG9L+mrv\nchnXJF2StBrvZACAkFn3/QMAAABx44gZAABAIChmAAAAgaCYAQAABIJiBgAAEAiKGQAAQCAoZgAA\nAIGgmAEAAASCYgYAABCI/wIOgwHjgBT9IwAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1936,11 +1933,11 @@ " 'gray', 'indigo', 'orange']\n", "\n", "weights, params = [], []\n", - "for c in np.arange(-4, 6):\n", - " lr = LogisticRegression(penalty='l1', C=10**c, random_state=0)\n", + "for c in np.arange(-4., 6.):\n", + " lr = LogisticRegression(penalty='l1', C=10.**c, random_state=0)\n", " lr.fit(X_train_std, y_train)\n", " weights.append(lr.coef_[1])\n", - " params.append(10**c)\n", + " params.append(10.**c)\n", "\n", "weights = np.array(weights)\n", "\n", @@ -2057,9 +2054,9 @@ "outputs": [ { "data": { - "image/png": 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WeKyIiEQs7SK1D/Bs0fL6ZF2xacBBZrYRWA6cX8axUYqpHTqmXED55J3yiU8e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\nRCS3VKRERCS3VKRERCS3/j+3Km9DJofhRwAAAABJRU5ErkJggg==\n", 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oYDXb+0gaD5D7kMss53GLpE1t31RijGYXMrDde2lyt9SDpHUtKwNbkK7cynI4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\nX5IW694C/LXeJhViddvfAF6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AabbPGvhZI08kotCx/E9zIvAg6Yx0WeDTtq9usl0hyTuY7pY/niSN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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2324,8 +2321,9 @@ } ], "metadata": { + "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python [default]", "language": "python", "name": "python3" }, diff --git a/code/ch05/ch05.ipynb b/code/ch05/ch05.ipynb index a33b33ac..69d69572 100644 --- a/code/ch05/ch05.ipynb +++ b/code/ch05/ch05.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Copyright (c) 2015, 2016 [Sebastian Raschka](sebastianraschka.com)\n", + "Copyright (c) 2015-2017 [Sebastian Raschka](sebastianraschka.com)\n", "\n", "https://github.com/rasbt/python-machine-learning-book\n", "\n", @@ -35,30 +35,25 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sebastian Raschka \n", - "last updated: 2016-09-29 \n", + "last updated: 2017-03-10 \n", "\n", - "CPython 3.5.2\n", - "IPython 5.1.0\n", - "\n", - "numpy 1.11.1\n", + "numpy 1.12.0\n", "scipy 0.18.1\n", - "matplotlib 1.5.1\n", - "sklearn 0.18\n" + "matplotlib 2.0.0\n", + "sklearn 0.18.1\n" ] } ], "source": [ "%load_ext watermark\n", - "%watermark -a 'Sebastian Raschka' -u -d -v -p numpy,scipy,matplotlib,sklearn" + "%watermark -a 'Sebastian Raschka' -u -d -p numpy,scipy,matplotlib,sklearn" ] }, { @@ -151,9 +146,7 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -178,9 +171,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -358,9 +349,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -531,9 +520,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "if Version(sklearn_version) < '0.18':\n", @@ -557,9 +544,7 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from sklearn.preprocessing import StandardScaler\n", @@ -628,9 +613,7 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -694,15 +677,13 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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ruKHF5s2bS5x75MiRjBo1ir/+9a+0bNmS3/72tyWO/8tf/sK6desoKCjg1ltv\nLTOjLoSmp09LS6NFixYUFRXx2GOPVbm59mWXXRYz3jPPPJNPPvkkPF39PffcU+K5VzR5eXk8+eST\nPPvssyX+gNi6dSuNGjWicePGrFu3jjvvvLNScW7dupUmTZrQsGFDli9fzgMPPBD3sZdccgl33XVX\nuLHOypUrWbNmDV27dqVx48ZMnjyZH374gd27d7N06VLefffdSsWWCDGboJtZl/IOdPf3y9suUpdy\ncpoltJl4Tk6zuPet6Eu9eHuDBg147rnnuOSSS/jtb39L3759GTBgQLnHDhkyhAsvvLDMF13kNUeN\nGsWKFSs45phjaNq0KTfccAOvvvpqePvvf/978vLyyMzM5JRTTuGXv/wlBQWhibeHDx/OvHnzaNWq\nFc2bN+f3v/89Dz30UFz3fc4557B9+3YGDx7M6tWradq0Kaeddhrnn38+9957L99++y2TJk0CQq3q\njj32WM4+++zwtPdDhgyhd+/ebNiwgXPOOYexY8eWuUbHjh351a9+xYknnkh6ejrDhw8PV6tFU/qz\niFwuL97mzZsza9YsxowZw8iRIxk2bFg4zljOPvtsLrnkEtq0acPRRx8dXj9+/HiGDx9Os2bNaN++\nPcOGDeNPf/pTzBhLr7vrrru49NJLmTx5Mp07d2bw4MElWmeWd4/nn38+BQUFDBkyhPXr19OmTRue\neuopsrOzefHFF7n++utp27YtO3bs4PDDD4/ZWKU2xRwWycyKf4v3B44HlgAG/Ax419271UqEe+LR\nsEgSlYZFqn/atm3LlClTOPXUU+s6FKmCWhkWyd17untPYAPQxd2Pd/fjgM7AuljHiYiI1JR4nkkd\n7u4fFy+4+3+B+AYQExGpglQftklqToWjoJvZdGA7MDVY9UugkbvnJTi20nGouk+iUnWfSHKpyeq+\neJLU/sDlwC+CVa8DD9T2ALNKUhKLkpRIcqnVJBWc+AAgx90/rczJg2NPB+4mVLU4xd3viLHfCcBb\nwCB3fy7KdiUpiUpJSiS51PZ8UmcDHwL/DJaPNbPZcQaaRmi8vz7AkUCemR0RY7/bgXnxhy4iIvVd\nPPNJjQe6AgsB3P1DM2sb5/m7AivcPR/AzGYA/YHlpfYbA/yN0AjrIpVy6KGH6kG7SBKpzNBbFYkn\nSe10982lvgTirVtpBUSOHbKWUOIKM7OWwDnu3tPMSmwTiceqVavqOgQRSZB4ktRSMxsCpJvZT4Gr\nCT07qimHUhENAAAPe0lEQVR3A7+JWNafxCIiAsSXpMYAY4EfgemEnhv9Ps7zrwNyIpZbU7Yj8PHA\nDAsV1VoAZ5jZTncv89wrcs6V3NxccnNz4wxDRERq28KFC1m4cGG1zhFX674qnzw05fynQC9CI1e8\nA+S5+7IY+z8GzFHrPhGR+qcqrfsqLEmZWQfgBqBN5P7uXuGgWu6+28yuAl5mTxP0ZWY2OrTZHy59\nSCViFxGRei6ezrxLgAeB94Dw5Ifu/l5iQysTh0pSIiIpLCElKWCXu8c/YYmIiEgNiWeA2TlmdoWZ\nZZlZZvEr4ZGJiMheL57qvi+jrHZ3PywxIcWMo1rVfePG3c3q1Zvi2veJJyZU+vwZGRDMEyciIlEk\nbOy+ZFDdJDVixATatJlQcwEBq1ZN4PHHa/acIiL1VY0+kzKzU919gZmdF217tGbiIiIiNam8hhOn\nAAuAflG2OaAkJSIiCRUzSbn7+ODfkbUXjoiIyB7xNEHHzM4kNNXG/sXr3H1SooISERGB+OaTehAY\nRGgMPwMGAjU3DruIiEgM8fST6u7uw4FCd58IdAM6JDYsERGR+JLU98G/3wVzP+0EshIXkoiISEg8\nz6ReNLNmwJ3A+4Ra9v01oVGJiIgQR5Jy9+K5o541sxeB/d19c2LDEhERKb8zb9ROvME2deYVEZGE\nK68kFa0TbzF15hURkYQrrzOvOvGKiEidiqefVHMzu9fM3jez98zsHjNrXhvBiYjI3i2eJugzgG+B\nAcD5wfuZiQxKREQE4muCnhXRwg/gFjMblKiAREREisVTknrZzAabWVrwugCYl+jARERE4klSo4Bp\nwI/BawYw2sy2mtmWRAYnIiJ7t3g68zaujUBERERKi6d138WlltPNbHziQhIREQmJp7qvl5nNNbMs\nMzsKeBtQ6UpERBIunuq+IUFrvo+B7cAQd38z4ZGJiMheL57qvp8C1wDPAvnAMDNrmOjARERE4qnu\nmwP8zt1HA6cAK4DFCY1KRESE+DrzdnX3LQDu7sAfzWxOYsMSEREppyRlZr8GcPctZjaw1OYRiQxK\nREQEyq/uGxzx/qZS205PQCwiIiIllJekLMb7aMsiIiI1rrwk5THeR1sWERGpceU1nDgmGJvPgAMi\nxukzYP+ERyYiInu98mbmTa/NQEREREqLp5+UiIhInVCSEhGRpKUkJSIiSUtJSkREklbCk5SZnW5m\ny83sMzP7TZTtQ8xsSfB6w8yOTnRMIiKSGhKapMwsDfgz0Ac4EsgzsyNK7fYF8At3Pwa4BXgkkTGJ\niEjqSHRJqiuwwt3z3X0nMAPoH7mDu7/t7puDxbeBVgmOSUREUkSik1QrYE3E8lrKT0KXAC8lNCIR\nEUkZ8UzVUSvMrCcwEuhR17GIiEhySHSSWgfkRCy3DtaVYGY/Ax4GTnf3wlgnmzBhQvh9bm4uubm5\nNRWniIjUsIULF7Jw4cJqncNC8xgmhpmlA58CvYANwDtAnrsvi9gnB3gFGObub5dzLq9OrCNGTKBN\nmwlVPj6aVasm8PjjNXtOEZH6ysxw90rNopHQkpS77zazq4CXCT3/muLuy8xsdGizPwz8DsgE7jcz\nA3a6e9dExiUiIqkh4c+k3P2fwOGl1j0U8X4UMCrRcdSWcePuZvXqTTV+3pycZkyadG2Nn1dEJJkl\nTcOJ+mL16k01Xq0IoapFEZG9jYZFEhGRpKUkJSIiSUtJSkREkpaSlIiIJC0lKRERSVpKUiIikrSU\npEREJGkpSYmISNJSkhIRkaSlJCUiIklLSUpERJKWkpSIiCQtJSkREUlaSlIiIpK0lKRERCRpKUmJ\niEjS0qSHKSwRswBrBmARSSZKUiksEbMAawZgEUkmqu4TEZGkpSQlIiJJS0lKRESSlpKUiIgkLSUp\nERFJWkpSIiKStNQEXSqk/lgiUleUpKRC6o8lInVF1X0iIpK0VJKSpKKqRRGJpCQlSUVViyISSdV9\nIiKStJSkREQkaam6T/ZKevYlkhqUpGSvVJvPvpQQRapOSUokwdQYRKTq9ExKRESSlpKUiIgkLVX3\nidQTtfXsKxHXiXUtkYQnKTM7HbibUKltirvfEWWfe4EzgO3ACHf/MNFxidQ3tfXsKxHXiXUtNTqR\nhCYpM0sD/gz0AtYDi83s7+6+PGKfM4B27v5TM/s58CBwYiLjSharVi2kTZvcug6jRumeUkOq3FO8\nCbEy95MqyXDhwoXk5ubWXEApKtElqa7ACnfPBzCzGUB/YHnEPv2BJwHc/T9m1tTMDnH3rxMcW51L\nlS+KytA9pYb6dk/VvZ9k7JLw4YcLOfbY3LiuVZ9Lh4lOUq2ANRHLawklrvL2WResq/dJSkT2PvGX\nDifEnThTpXRYFWo4ISJSD9WX/nnm7ok7udmJwAR3Pz1YvhHwyMYTZvYg8Kq7zwyWlwOnlK7uM7PE\nBSoiIrXC3a0y+ye6JLUYaG9mhwIbgMFAXql9ZgNXAjODpLYp2vOoyt6YiIikvoQmKXffbWZXAS+z\npwn6MjMbHdrsD7v7XDPra2afE2qCPjKRMYmISOpIaHWfiIhIdaTEsEhmdrqZLTezz8zsN3UdT3WZ\nWWszW2BmS83sYzO7uq5jqglmlmZm75vZ7LqOpSYE3SFmmdmy4LP6eV3HVF1mdp2Z/dfMPjKzp81s\n37qOqbLMbIqZfW1mH0WsyzCzl83sUzObZ2ZN6zLGyopxT5OD370PzexZM2tSlzFWVrR7itj2KzMr\nMrPMis6T9EkqokNwH+BIIM/MjqjbqKptF3C9ux8JdAOurAf3BHAN8EldB1GD7gHmuntH4BhgWR3H\nUy1m1hIYA3Rx958Rqu4fXLdRVcljhL4PIt0I/MvdDwcWADfVelTVE+2eXgaOdPdjgRXUj3vCzFoD\npwH58Zwk6ZMUER2C3X0nUNwhOGW5+1fFQz+5+zZCX36t6jaq6gl+8foCf63rWGpC8Ffrye7+GIC7\n73L3LXUcVk1IBw40s32AhoRGgkkp7v4GUFhqdX/gieD9E8A5tRpUNUW7J3f/l7sXBYtvA61rPbBq\niPE5AfwJ+H/xnicVklS0DsEp/YUeyczaAMcC/6nbSKqt+BevvjzkbAtsNLPHgirMh83sgLoOqjrc\nfT3wR2A1oU7zm9z9X3UbVY05uLhVsLt/BRxcx/HUtIuAl+o6iOoys7OBNe7+cbzHpEKSqrfMrBHw\nN+CaoESVkszsTODroHRowSvV7QN0Af7i7l2A7whVKaUsM2tGqMRxKNASaGRmQ+o2qoSpL38sYWZj\ngZ3uPq2uY6mO4I+8m4HxkasrOi4VktQ6ICdiuXWwLqUF1S1/A55y97/XdTzVdBJwtpl9AUwHeprZ\nk3UcU3WtJfQX37vB8t8IJa1U9j/AF+5e4O67geeA7nUcU0352swOATCznwDf1HE8NcLMRhCqRq8P\nf0y0A9oAS8zsS0Lf5e+ZWbml3lRIUuEOwUFLpMGEOgCnukeBT9z9nroOpLrc/WZ3z3H3wwh9Pgvc\nfXhdx1UdQdXRGjPrEKzqReo3ClkNnGhm+5uZEbqnVG0MUrrEPhsYEby/EEjFP/xK3FMwzdH/A852\n9x/rLKrqCd+Tu//X3X/i7oe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UEiVBPWVmlwCPE3SUAMDdt5az3SagTdx0a/YdBT0XeDBMTs2Bn5tZgbs/ESEu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\ntMau3o/jEAE0mrlIJBYUjst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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -765,9 +746,7 @@ { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -831,15 +810,13 @@ { "cell_type": "code", "execution_count": 14, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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LRHaKyA1Vj++OGmDRpN26p/oHjD9wlaNJF5NTjtVYP1IAB9u+VHcKnP8f7OGboETkAICv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\nly5hYGAAu3btwqZ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -867,9 +844,7 @@ { "cell_type": "code", "execution_count": 15, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -904,9 +879,7 @@ { "cell_type": "code", "execution_count": 16, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -932,15 +905,13 @@ { "cell_type": "code", "execution_count": 17, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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IiGZUeZT1fGAt8F+B/cvtH9UZVERENKvKo6xTWp5YAvgfkg6sK6CIiGhelZrDNZIOkrRR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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -958,9 +929,7 @@ { "cell_type": "code", "execution_count": 18, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "pca = PCA(n_components=2)\n", @@ -971,15 +940,13 @@ { "cell_type": "code", "execution_count": 19, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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bbw0geR6ALwD4EzPTwdVdJI/BwiT7uVgIBD8B8Bdmtt9pwzzDhR7XNwD81swu\nc90e33VHCH9jZhe4bsugSs8hSGJfAvAqAHeT3EPyK64b5IPuRPtnAOzCwkTp9QoGgdYC+AiAdd3P\nz55uT1hKpjYjBBERiaYRgoiIAFBAEBGRLgUEEREBoIAgIiJdCggiIgJAAUEkEsn5bhnlgyRvILm8\ne/vxJL9N8n9ITpG8k+TvB/z910g+TfLB4lsvko4Cgki0tpmdYWanAngJwKe6C7FuAfA9M3ujmZ2J\nhR1iXx/w918HcF5hrRUZQem3rhAp0A8AnA7gHAAdMzuygC9sA0Uz+353wzcR72mEIJJAdxuL9wDY\nB+BUAFNuWySSPQUEkWjjJPcAaGHhkKVrHbdHJDdKGYlEa5vZGf03kNwP4AOO2iOSG40QRNLbDeDl\nJDf2biB5Osk/dtgmkZEpIIik1D0v4n0A3tktO90P4BoAS87ZIPktAD8CsJrkkyQ/UWxrRZLTbqci\nIgJAIwQREelSQBAREQAKCCIi0qWAICIiABQQRESkSwFBREQAKCCIiEiXAoKIiAAA/h+ggnwku3zC\n6wAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1023,9 +990,13 @@ "\n", " # plot class samples\n", " for idx, cl in enumerate(np.unique(y)):\n", - " plt.scatter(x=X[y == cl, 0], y=X[y == cl, 1],\n", - " alpha=0.8, c=cmap(idx),\n", - " marker=markers[idx], label=cl)" + " plt.scatter(x=X[y == cl, 0], \n", + " y=X[y == cl, 1],\n", + " alpha=0.6, \n", + " c=cmap(idx),\n", + " edgecolor='black',\n", + " marker=markers[idx], \n", + " label=cl)" ] }, { @@ -1038,9 +1009,7 @@ { "cell_type": "code", "execution_count": 21, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LogisticRegression\n", @@ -1052,15 +1021,13 @@ { "cell_type": "code", "execution_count": 22, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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B/qJgwy8JGS1K6zdgfrcGmxkNKBF5DMAtABpU9XKTY+mtyEXDkYH10X8sTbspQRO7TJuc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\nBpTPbFjUG4nTd9n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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1080,15 +1047,13 @@ { "cell_type": "code", "execution_count": 23, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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cV4y8onN4/okPTJdC5BqGFFGXYQXDcKrhFBrrGgEAjXWNaGlswbCCYYYri2AI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\niMhaDCkiIrLW/wetItIwG0ie+gAAAABJRU5ErkJggg==\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1108,9 +1073,7 @@ { "cell_type": "code", "execution_count": 24, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1149,9 +1112,7 @@ { "cell_type": "code", "execution_count": 25, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1198,9 +1159,7 @@ { "cell_type": "code", "execution_count": 26, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1237,9 +1196,7 @@ { "cell_type": "code", "execution_count": 27, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1272,9 +1229,7 @@ { "cell_type": "code", "execution_count": 28, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1292,9 +1247,7 @@ { "cell_type": "code", "execution_count": 29, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1324,9 +1277,7 @@ { "cell_type": "code", "execution_count": 30, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1374,9 +1325,7 @@ { "cell_type": "code", "execution_count": 31, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "eigen_vals, eigen_vecs = np.linalg.eig(np.linalg.inv(S_W).dot(S_B))" @@ -1403,9 +1352,7 @@ { "cell_type": "code", "execution_count": 32, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1415,17 +1362,17 @@ "\n", "452.721581245\n", "156.43636122\n", - "7.20678700076e-14\n", - "3.94081990073e-14\n", - "3.94081990073e-14\n", - "2.51053275902e-14\n", - "2.46878288879e-14\n", - "2.46878288879e-14\n", - "1.97651922798e-14\n", - "5.31966277392e-15\n", - "3.27314649699e-15\n", - "2.7136147327e-15\n", - "0.0\n" + "1.05646703435e-13\n", + "3.99641853702e-14\n", + "3.40923565291e-14\n", + "2.84217094304e-14\n", + "1.4793035293e-14\n", + "1.4793035293e-14\n", + "1.3494134504e-14\n", + "1.3494134504e-14\n", + "6.49105985585e-15\n", + "6.49105985585e-15\n", + "2.65581215704e-15\n" ] } ], @@ -1447,15 +1394,13 @@ { "cell_type": "code", "execution_count": 33, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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904CHgO8TmoZ+kZnNcvcVMcrdBcyrSvAiIpK49PT0Go1NmAqJjN03B3gXWAZU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\nDB/Tgd1R60uI/UdodJno9+I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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1483,9 +1428,7 @@ { "cell_type": "code", "execution_count": 34, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1532,15 +1475,13 @@ { "cell_type": "code", "execution_count": 35, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1583,9 +1524,7 @@ { "cell_type": "code", "execution_count": 36, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "if Version(sklearn_version) < '0.18':\n", @@ -1600,15 +1539,13 @@ { "cell_type": "code", "execution_count": 37, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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EOgH4AsCvNbeHe/cREZG5ONxHRETGYkgREZGxGFJERGQshhQRERmL\nIUVERMZiSBERkbEYUkQpIiKHQ9w3T0S+9u2Vtl1EXhWRkWF+/ioR+aeINItIifMtJtKPIUWUOuEW\nJf5JKVWilCqGtV/kShHpE+K6KgC/APC+Uw0kMg1DisggSqklAN4BcG2Ix7YrpXbCOzuGEEXFkCIy\nz2YAXjkckCgpDCki87CnROTDkCIyzxkw4NhuIhMwpIhSJ1wPqfV+EbkS1gGVLyf4XESewl3QiVJE\nRJoA7EHb6cJ/AtATwI0A6gB0A/BPWKcObwvx85fDOp6kL4BDAD5WSv08Na0n0oMhRURExuJwHxER\nGYshRURExmJIERGRsRhSRERkLIYUEREZiyFFRETGYkgREZGx/j89/b2BKlRrvQAAAABJRU5ErkJg\ngg==\n", + "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1632,15 +1569,13 @@ { "cell_type": "code", "execution_count": 38, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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Hwty5Vf1SMozCUy52neng1OGDvDpFe7CSZqiA+t/AxEE+940a1CJSsnruT3IuCqfdvW1B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\nUkCJiEiQLNTut2L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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1679,9 +1614,7 @@ { "cell_type": "code", "execution_count": 39, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1728,7 +1661,7 @@ "source": [ "from scipy.spatial.distance import pdist, squareform\n", "from scipy import exp\n", - "from scipy.linalg import eigh\n", + "from numpy.linalg import eigh\n", "import numpy as np\n", "\n", "def rbf_kernel_pca(X, gamma, n_components):\n", @@ -1767,7 +1700,7 @@ " K = K - one_n.dot(K) - K.dot(one_n) + one_n.dot(K).dot(one_n)\n", "\n", " # Obtaining eigenpairs from the centered kernel matrix\n", - " # numpy.eigh returns them in sorted order\n", + " # numpy.linalg.eigh returns them in sorted order\n", " eigvals, eigvecs = eigh(K)\n", "\n", " # Collect the top k eigenvectors (projected samples)\n", @@ -1794,15 +1727,13 @@ { "cell_type": "code", "execution_count": 41, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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6QhPwzJnZfVu2hL7d6dOjK1dS1ERNvKsLrr46fBppbAxT3zY3w803VzVJQjVx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\nK2b2R4QbbW360105zzGgAc4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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1935,15 +1862,13 @@ { "cell_type": "code", "execution_count": 44, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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MpuCFIJvAb7019LXEUZ6+tWvX0tq1a11pS2jRPCQiEkIkEtFuIrqAiGqI6GMi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\n3YwNsmrLeF9LShBiUFCAz5KS4N+9XqQ+8nhwbEMD/l+3Tr6DZgLX7Pw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qkHfq6YFxctOLRhkhhZmIeNQSBQLQtGxvt89Dz8Ccb9Q0c13Xx4noESL6NRGd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\nG2GYJiYwTvv7w4u9miHZDUAKNxRVJIlURjjygUyhlV/Hm5jglOBhlH3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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1966,15 +1891,13 @@ { "cell_type": "code", "execution_count": 45, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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u2sRkqdWrOTGIUEw1MGbt8bB53KRJ/NvhYA7XoUOsrluzhttNmsThjxtnlbSn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\n9kOHmIiWnMze7DNnMvmtpcx6oUuQ7HRBiE46890UERcsAhc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8fKeTp/O995g95fWyCN3ChcDFF3N9dqt+yuLxAI89xgPs6eEJeeopYPduBjE2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\nfGEht9PcTFH2+bi+ujoOTtxuzv+npNCF/9ZbppmL7nQGSCC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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2011,15 +1934,13 @@ { "cell_type": "code", "execution_count": 46, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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ON4rIdgClYdcqMcJaok1N0a1QoH0++urVzEefObN90ZQ1a9ju0x3MZkubugvH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\n99sYusPPOYcC3tREl7UxdK2nplI4jx7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bOXZqqhP7VxTlwmBCxV1ErgfwAwA+AD82xmyJ+lwin98AoBvAl4wxu0VkHoCn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\nD4cpzLZKXVcXk+eCQT7njBl8ziTXUtsWuwEGPlN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7RKRXbX1FJFZE1ovIXhH5RESizaj1QuYtpGbOnImsrCzMnDkTAMOJiIKHBPqd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\nAABJRU5ErkJggg==\n", 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VFTFq1KjYJTaiv83Kz8/n7LPPZuLEifTr149rrrmG4uLi2HyjZxsYOnQo69atA6CwsJDx\n48czZMgQhgwZwpIlSwDYuXMnl156aez3TdX9xOWkk05i8uTJ9O/fn1GjRlFYWAhUf5mM2i4Vkujy\nG/GaN2/Or371K+68807uu+8+brnlFnr37p1wbCNHjqRt2+C3acOGDWPLli31fu2kHhry696w3nQm\nCTla6nO5jeiZIZhK7JbozBP1UfWSFYWFhX7BBRd4UVFw5olHH33UH374YXcPLlnxq1/9yt3dv/e9\n73lWVpbv3bvXt2/f7p07d3Z399LS0thlFgoLC71Pnz5eXl7uGzZscMAXL17s7u4333xz7KwIZ5xx\nhj/yyCPu7j537tzYJTcmTJjg77//vru7b9y40c8++2x3d//ud78bG9Prr7/ugBcWFh6xboA///zz\n7u7+8MMPx85GUd1lMupyqZC6nM3huuuu8169evnBgwdjZfHzrurOO+/0adOmxabT0tL8nHPO8XPP\nPTd2uZC6zOd4k8ozSWgXn0gji25JRXf1Qf1/J5VI/CUrPvjgA1avXh07GWtJSQnnnXderG30O5Gs\nrCyKiopo164d7dq1o1WrVuzevZv09HR++MMfsmjRIpo1a8bWrVv54osvAOjRo0dsvtdffz1PPvkk\n99xzDwATJkyI3U+ePBmAd955h9WrV8eWvXfvXoqKili0aBF//OMfAbjyyivp0KFDwvVq1qxZ7Jx6\n119/PePGjUt4mYxrr702Yf/4S2ZEl1eboqIi8vLyKC0tpbCwkO7du9fY/vnnnycvL4/33nsvVrZx\n40a6devG+vXr+frXv05WVhZ9+vSp0/IlMQWUSCPzyG69eJPfmpx0SMVfssLdueSSS3jxxRcTto1e\nsqFZs2aVLt/QrFkzysrKeOGFFygsLGT58uW0aNGCnj17xi6nUdOlIhI9Li8v54MPPqB169YNXrfq\nllcXDblkxkMPPcT1119Ply5dmDx5Mn/4wx+qbfvOO+/wk5/8hPfee6/Scxk903vv3r0ZMWIEf/vb\n3xRQSdJ3UCKNKBpO0e+cyn9UXuPRfQ01bNgwlixZEvseaP/+/Xz22Wd17r9nzx46d+5MixYtePfd\ndysdnbZp0yb+8pe/APDb3/6W4cOHx+qiBwi89NJLsS22Sy+9lF/+8pexNtEDBy688EJ++9vfAvCn\nP/0p9h1SVeXl5bHvlKLLS/YyGdVdfgPgk08+4Y033uD+++9n0qRJ5Ofn8/bbbyds+7e//Y3bbruN\nefPm0blz51j5l19+yaFDhwDYsWMHS5YsITMzs87jk8S0BSXSSKqGU3SLKdnTIiXSqVMnnnnmGSZM\nmBD7oHzkkUc488wz69R/4sSJjBkzhqysLHJzczn77LNjdWeddRZPPfUUt9xyC5mZmdxxxx2xui+/\n/JLs7GxatWoV23p78sknufPOO8nOzqasrIwLL7yQWbNm8dBDDzFhwgT69+/P+eefT0ZGRsKxpKen\ns3TpUh555BE6d+4cC8G5c+dy++23U1xcTO/evZkzZ06dn58xY8ZwzTXX8Nprr/HLX/4ydu0sd+eO\nO+5g+vTpsS2+mTNncsMNNyQ8Iu/ee++lqKgotnsxIyODefPmsWbNGm677TaaNWtGeXk5U6ZMUUCl\nQkO+uArrTQdJyNFS20ES8QdGJDogorb6sKjpsgpnnHFGwoMckpWenp7yeTZUqg5u0EESOkhCJBS8\nmi2neI21JSWp1b59ex588EF27NjB7bff3qB5TJw4kT//+c+x31JJ3SmgRFKoLuEU1RRCqmfPnqxc\nuTJhXX5+fqMsM/r7rTCYMWNG7Y1q8cILL6RgJCcmBZRIA7l7pTCpTzhFNYWQEqkrT9FBP1EKKJEG\naN26NTt37uSUU05J+vRFCik5Hrg7O3fuTNnPC0ABJdIg3bt3Z8uWLRQWFuLuPLriUZ5b+xzf6vst\nJmVM4u9//3u95zkpYxK7du1ixocz2LVrF1NypiikpElp3bp1rT9yro+UBJSZXQ7MANKA37j7o1Xq\nLVJ/BVAM3OTuf43UPQ18A9ju7gPi+nQEXgJ6AvnAN9098Q8nRI6yFi1a0KtXr9iW03Nrn0vJiV/n\n9ptLx7c6MuPDGXTs2FFbUnJCS/qHumaWBjwFjAYygQlmVvUHAKOBvpHbJGBmXN0zwOUJZj0FWODu\nfYEFkWmRUCkuLWbxpsUpu2RG/AlmF29aTHFpcYpGKtL0pGILaiiwzt3XA5jZ74CxwOq4NmOBZyPH\nw39gZl8xs67uXuDui8ysZ4L5jgVGRB7PBRYC96dgvCIpk94ynfdueo+2LdqmbEsnGlLFpcWkt0yv\nvYPIcSoVpzrqBmyOm94SKatvm6q6uHtB5PHnQJdEjcxskpnlmVle9LT8IkdTesv0lO+GMzOFk5zw\nmsS5+CJbXgmPX3T32e6e6+65nTp1OsojExGRxpKKgNoK9Iib7h4pq2+bqr4ws64AkfvtSY5TRESa\nkFQE1DKgr5n1MrOWwHXAvCpt5gE3WGAYsCdu91115gE3Rh7fCLyWgrGKiEgTkXRAuXsZcBfwFrAG\n+L27rzKz280sevKq+cB6YB3wa+A70f5m9iLwF+AsM9tiZrdGqh4FLjGztcDFkWkRETlBWKpPTXEs\n5ebmel5e3rEehoiIxDGz5e6eW99+TeIgCREROfEooEREJJQUUCIiEkoKKBERCSUFlIiIhJICSkRE\nQkkBJSIioaSAEhGRUFJAiYhIKCmgREQklBRQIiISSgooEREJJQWUiIiEkgJKRERCSQElIiKhpIAS\nEZFQUkCJiEgoKaBERCSUFFAiIhJKCigREQklBZSIiISSAkpEREJJASUiIqGkgBIRkVBSQImISCgp\noEREJJQUUCIiEkoKKBERCSUFlIiIhJICSkREQkkBJSIioZSSgDKzy83sUzNbZ2ZTEtSbmT0Zqf/Y\nzAbV1tfMpprZVjNbEbldkYqxiohI05B0QJlZGvAUMBrIBCaYWWaVZqOBvpHbJGBmHftOd/ecyG1+\nsmMVEZGmIxVbUEOBde6+3t1LgN8BY6u0GQs864EPgK+YWdc69hURkRNQKgKqG7A5bnpLpKwubWrr\n+93ILsGnzaxDooWb2SQzyzOzvMLCwoaug4iIhEyYD5KYCfQGcoAC4BeJGrn7bHfPdffcTp06Hc3x\niYhII2qegnlsBXrETXePlNWlTYvq+rr7F9FCM/s18HoKxioiIk1EKraglgF9zayXmbUErgPmVWkz\nD7ghcjTfMGCPuxfU1DfyHVXU1cDKFIxVRESaiKS3oNy9zMzuAt4C0oCn3X2Vmd0eqZ8FzAeuANYB\nxcDNNfWNzPoxM8sBHMgHbkt2rCIi0nSYux/rMaRMbm6u5+XlHethiIhIHDNb7u659e0X5oMkRETk\nBKaAEhGRUFJAiYhIKCmgREQklBRQIiISSgooEREJJQWUiIiEkgJKRERCSQElIiKhpIASEZFQUkCJ\niEgoKaBERCSUFFAiIhJKCigREQklBZSIiISSAkpEREJJASUiIqGkgBIRkVBSQImISCgpoEREJJQU\nUCIiEkoKKBERCSUFlIiIhJICSkQkpPaX7MfdUzpPd2d/yf6UzrOxKKBEREJof8l+LnrmIia/NTll\nIeXuTH5rMhc9c1GTCCkFlIhICLVt0ZbhGcOZ8eGMlIRUNJxmfDiD4RnDaduibYpG2niaH+sBiIjI\nkcyM6ZdNB2DGhzMAmH7ZdMys3vOKD6e7z727wfM52hRQIiIhlYqQaqrhBAooEZFQSyakmnI4gQJK\nRCT0GhJSTT2cQAElItIk1BRSBQUFDB8+nCVLlnDaaacdF+EEOopPRKTJiIbU3efeXenovmnTppGf\nn8+0adOOm3ACsFQcX29mlwMzgDTgN+7+aJV6i9RfARQDN7n7X2vqa2YdgZeAnkA+8E13/7KmceTm\n5npeXl7S61Orzz6D0aOha1f42tegRQswA/fgvlUruPVW+M1vgulbb4XnnoNvfSvx/Xe+E/R94omg\n/fe+F0zPnFm5zUknwb59qS2PLjv6uLY6CFd91fE2tE2i5dS3TdXnOJFE42gkH38Mf/wjbNoEGRkw\nbhxkZx/ZZuZM+OCDYPWGDQuGFm0XnceKFbB7N3zlK5CTUzGv+GW0ahXMo6Sk8vLq26Zly+DP4NCh\nijZQeV0GDICVKyuvW3yb2uaRaBw19Y9fXtW+8XU19auurupzm6i8a9dgmZ9/HpS1/4qz/szJrEyf\nQUbBt9n86+fw8kM0S2vNGZOuZ0OX33Dquru56OB0DGPtWjhwANq1C2779sGOHXDwILRuDW3bQnFx\nMO/9++Hw4eD5SEuDvn3hxz+Ga65p+HvRzJa7e259+yW9i8/M0oCngEuALcAyM5vn7qvjmo0G+kZu\n5wIzgXNr6TsFWODuj5rZlMj0/cmONyUeeADy82HjRvjHPyo+aKJh36FD8Mq/9VYwffAgfPQR7N2b\n+L5fv6DvvHlB+4EDg+n336/cZswYePfd1JZHlx19XFsdhKu+6ngb2ibRcurbpupznEiicTSCjz+G\nn/88eCt27w5ffhlM33NP5fB54AFYty740AJ47z3YsgV++tNg+uc/h7IyWL8emjWDXbsgPT0ov+qq\n4C3boUPwP9rChUGfCy+sWF5D2rz3XuU2DzwQPPV9+gTrsnYtPPtsEKZf/WrQ5oc/DD78e/dOPI+q\n9VXHEb+Mqv3jl9euXeW+n30W1J13XvAxUFO/RHVnnx0839Hn9tChoLxfP9i8OSjfti14WwE0bx48\n/1u3GqUfTafdUNiUOQMubQZvQvklJWzo8hs6fnY3nT+azpv5hnsQcF9+CQUFwetpFty3agU7d0J5\neTD/6H1UWRl8+mnwTwskF1INkfQWlJmdB0x198si0z8AcPf/iGvzn8BCd38xMv0pMIJg6yhh32gb\ndy8ws66R/mfVNJajsgX12WeQmwtFRcE7unnz4N8Ps4pbly7BK9uyZdCnrAxGjgzeoRddFNxfeCEs\nWgQXXxzMq6ys4l2YnR30TU+Hd94J2pSUwNSpwa1ly6D8kkuCd3TV8uraVy0/6aTgr8Is+HQoKqq5\n7he/CNb5nnvCUV91vA1tk2g50a2uurap+ppE6+PFzy9+Ho1g6tTgA6lDh4qy6PTUqRVt/vSn4HGb\nNsH9gQPB/ejRFX0++igob9Om4n7gwKB84MBgngsXVvRt0wZGjKjom2yb6BijY1q4sGLLYsSIoCy+\nTW3zqG89VCwv/jlKRd3u3cHHRfS5/eKLoH18+dq1VNK3b0VZ2eFtbD8nA4YdrmjwQRrdVm6meVpX\nCguDohYtgo+TvXuD/5ebNQvKysqCraXy8iPDKcosGMeQIRXhXF8N3YJKxXdQ3YDNcdNbImV1aVNT\n3y7uXhB5/DnQJdHCzWySmeWZWV5h9NVoTA88ELzC0X26ZWXBtvHBg8E7rKQk+DDbsSOYLi4OPphW\nr4bS0or7NWuC+x07gu3/jz4KtqebNYNPPgm2znbsqGhTUgJPPRXcR8sLCxOXV9e+anm7dsGyN20K\nHtdW9+67wS2V9Rs3Nrx/1fE2tE2i5UDtY41vU/U1idbHqzquRG1SZNMmaN++cln79kF5fJtDh4Jd\nPFGtWwdl0aekfXvYs6eiTevWwXT79rB1a8Uyom2i9dHlpaLNoUPBLWrPHjj55Ir6qm1qm0d96+OX\nl+q6ffsqP7f79gXle/dWlEdDJHoPFdP79j4Cb1b5GH+zGbt2PsLBg5Wfn+bNg//L3IO+aWnBPVTs\n/EnEPQivrVurb9NYmsRBEh5s5iV8Ct19trvnuntup06dGncgn30W7LY7fLjyK1pWFnw4lZYGdXv2\nBOG0d2+wQ7ekBFatCv4KV6+uuO/YMQiqgoLg1W/dOvhXZcuWYGfzmjVw6qnBctPT4b/+K/iP+7PP\nKspPOikoT0+vXB5tX7U82r5jx+Bdu3NnRXB16FB93WmnBTvoX301eJyq+p07G9YfKo8XGtYm0XJe\nfz14Td54o/qxxrfp0KHyc9yxY1BfVFTxHtm3r2J+0XFUbZNCGRmVP8AhmM7IqNymVSsqfZAdPBiU\nZWRUzKN9+4o2Bw9WhFa3bpWD5uDBivro8lLRplWr4BbVvn3wpxUfwPFtaptHfevjl5fqunbtKj+3\n7doF5SdRhihuAAANx0lEQVSfXFHevHkQJtF7CO7NCjhw4Gm4vLTyC315KQcOPk2LFp9Xen6iu/bM\ngnkdPhzcQ8X/24mYBf83d6u62XEUpCKgtgI94qa7R8rq0qamvl9Edu0Rud+egrEmJ7r1lEh5ecW/\nJmVlwfSBA0FolZUFH2yFhUH5jh3BfXFx8G7cuTPou29fcHMP2kT/7SovD74wKC0NtrTKy4Pyw4eD\n6dLSoP7w4SPbVy2Ptt+2LfgeLfrO3LAh+MCtrq5Vq4qtiFatGl4f/ZY5Pz+oM2vY/KHyeKFhbRIt\nJ36rq7qxxrcpKKj8mmzbduQWUnTrKTqu6DwaaStq3Lhg99mXXwZDiz6OHgwQbdO5c/AWLC6ueDt2\n6hTURedx+unBW3n37uC+W7eg/K67KuZ71llB3717g8fR8lS06dw5GFN0Xbp1C+pPP71i3Tp1CtpV\nN4/a6uOXUbU+fnlV604/PXjcrVv9+kXrMjMrP7f9+gXl/ftXlKenB3uQW7YMvk3YvTu4L9r/4yCc\nhgEfAFMj98OAy0oo2v/j2Fv71FMrdvy0aBEEU2lpxbcQEIRQImbBGO66qzHeqTVLxXdQzYHPgFEE\n4bIM+D/uviquzZXAXQRH8Z0LPOnuQ2vqa2Y/A3bGHSTR0d3vq2ksjf4dVO/ewQdbdTtr40X/VYn+\nywMV/waVlQX3LVoE5QcOVJ6OhlqbNhX/+e/fH7xLovdRDS2Pfiu+b19wHz+dqC76pQNUPD6W9VDR\nJlofLatPm0TLgeAb6h49Ks+jujbx9fFt+vSBBx8MyqZNCw6oqSq+TYrpKL7j9yi+Vq238XazDPzc\nw0EovRn3ol5OJLTSuLL5Ztq07tpkj+JL1WHmVwBPEBwq/rS7/8TMbgdw91mRw8z/L8FTVwzc7O55\n1fWNlJ8C/B7IADYSHGa+q6ZxHLXDzEVEjhF3Z+D9A/kk/ZMjwykqElLZxdmseHTFMf8d1DENqLBQ\nQInI8Sz+R7jVhlNUJKTC8GPdY3kUn4iINLKqZ4gon1+Ou1d7K59ffsQZJ5oanYtPRCTkGnL6olRe\nT+pYUUCJiIRYMufWa+ohpYASEQmpVJz4tSmHlAJKRCSEUnlW8qYaUgooEZEQKi4tZvGmxSk7Ci8+\npBZvWkxxaTHpLdNr6XVs6TBzEZGQ2l+yn7Yt2qZ0S8fdj3o4HbPLbYiISONojBAxs9BvOUXpd1Ai\nIhJKCigREQklBZSIiISSAkpEREJJASUiIqGkgBIRkVBSQImISCgpoEREJJQUUCIiEkoKKBERCSUF\nlIiIhJICSkREQkkBJSIioaSAEhGRUFJAiYhIKCmgREQklBRQIiISSgooEREJJQWUiIiEkgJKRERC\nSQElIiKhpIASEZFQUkCJiEgoJRVQZtbRzN42s7WR+w7VtLvczD41s3VmNqW2/mbW08wOmNmKyG1W\nMuMUEZGmJ9ktqCnAAnfvCyyITFdiZmnAU8BoIBOYYGaZdej/D3fPidxuT3KcIiLSxCQbUGOBuZHH\nc4F/StBmKLDO3de7ewnwu0i/uvYXEZETULIB1cXdCyKPPwe6JGjTDdgcN70lUlZb/16R3XvvmdkF\n1Q3AzCaZWZ6Z5RUWFjZsLUREJHSa19bAzN4BTktQ9UD8hLu7mXlDB1KlfwGQ4e47zWww8KqZ9Xf3\nvQn6zQZmA+Tm5jZ4+SIiEi61BpS7X1xdnZl9YWZd3b3AzLoC2xM02wr0iJvuHikDSNjf3Q8BhyKP\nl5vZP4Azgby6rJSIiDR9ye7imwfcGHl8I/BagjbLgL5m1svMWgLXRfpV29/MOkUOrsDMegN9gfVJ\njlVERJqQZAPqUeASM1sLXByZxsxON7P5AO5eBtwFvAWsAX7v7qtq6g9cCHxsZiuAl4Hb3X1XkmMV\nEZEmxNyPn69tcnNzPS9PewFFRMLEzJa7e259++lMEiIiEkoKKBERCSUFlIiIhJICSkREQkkBJSIi\noaSAEhGRUFJAiYhIKCmgREQklBRQIiISSgooEREJJQWUiIiEkgJKRERCSQElIiKhpIASEZFQUkCJ\niEgoKaBERCSUFFAiIhJKCigREQklBZSIiISSAkpEREJJASUiIqGkgBIRkVBSQImISCgpoEREJJQU\nUCIiEkoKKBERCSUFlIiIhJICSkREQkkBJSIioaSAEhGRUFJAiYhIKCmgREQklJIKKDPraGZvm9na\nyH2Hatpdbmafmtk6M5sSV36tma0ys3Izy63S5weR9p+a2WXJjFNERJqeZLegpgAL3L0vsCAyXYmZ\npQFPAaOBTGCCmWVGqlcC44BFVfpkAtcB/YHLgV9F5iMiIieIZANqLDA38ngu8E8J2gwF1rn7encv\nAX4X6Ye7r3H3T6uZ7+/c/ZC7bwDWReYjIiIniGQDqou7F0Qefw50SdCmG7A5bnpLpKwmde5jZpPM\nLM/M8goLC+s2ahERCb3mtTUws3eA0xJUPRA/4e5uZp6qgdWVu88GZgPk5uYe9eWLiEjjqDWg3P3i\n6urM7Asz6+ruBWbWFdieoNlWoEfcdPdIWU0a0kdERI4jye7imwfcGHl8I/BagjbLgL5m1svMWhIc\n/DCvDvO9zsxamVkvoC+wNMmxiohIE5JsQD0KXGJma4GLI9OY2elmNh/A3cuAu4C3gDXA7919VaTd\n1Wa2BTgPeMPM3or0WQX8HlgNvAnc6e6HkxyriIg0IeZ+/Hxtk5ub63l5ecd6GCIiEsfMlrt7bu0t\nK9OZJEREJJQUUCIiEkoKKBERCSUFlIiIhJICSkREQkkBJSIioaSAEhGRUFJAiYhIKCmgREQklBRQ\nIiISSgooEREJJQWUiIiEkgJKRERCSQElIiKhpIASEZFQUkCJiEgoKaBERCSUFFAiIhJKCigREQkl\nBZSIiISSAkpEREJJASUiIqGkgBIRkVBSQImISCgpoEREJJQUUCIiEkoKKBERCSUFlIiIhJICSkRE\nQkkBJSIioaSAEhGRUEoqoMyso5m9bWZrI/cdqml3uZl9ambrzGxKXPm1ZrbKzMrNLDeuvKeZHTCz\nFZHbrGTGKSIiTU+yW1BTgAXu3hdYEJmuxMzSgKeA0UAmMMHMMiPVK4FxwKIE8/6Hu+dEbrcnOU4R\nEWlikg2oscDcyOO5wD8laDMUWOfu6929BPhdpB/uvsbdP01yDCIichxKNqC6uHtB5PHnQJcEbboB\nm+Omt0TKatMrsnvvPTO7oLpGZjbJzPLMLK+wsLDOAxcRkXBrXlsDM3sHOC1B1QPxE+7uZuYpGlcB\nkOHuO81sMPCqmfV3971VG7r7bGA2QG5ubqqWLyIix1itAeXuF1dXZ2ZfmFlXdy8ws67A9gTNtgI9\n4qa7R8pqWuYh4FDk8XIz+wdwJpBXU7/ly5fvMLONNbWp4lRgRz3aN0UnwjrCibGeWsfjw4m4jmc0\nZCa1BlQt5gE3Ao9G7l9L0GYZ0NfMehEE03XA/6lppmbWCdjl7ofNrDfQF1hf22DcvVN9Bm9mee6e\nW3vLputEWEc4MdZT63h80DrWXbLfQT0KXGJma4GLI9OY2elmNh/A3cuAu4C3gDXA7919VaTd1Wa2\nBTgPeMPM3orM90LgYzNbAbw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88AEwdapxH5o1M/4VI0aY38bf8pos8zZf1X3ezTcDq1cb02fPGssvXDD+N+Hh\nxrzwcOOlYcoU4Mknq3yYWZ4ZW1AjANykqn+yT98J4EpV/T8ubT4F8DdV/co+/W8AGTACymtfEclX\n1ViXMfJUNc7L7Tf+Laj+/YFvvgHKy41HanR0xdvHNm2Afv2AbduMafv1nNJSdN6zB+cvXHAOExEW\nhl+7dUNCWJgRZADw2mvGX8f0ihXGq1V+PnDbbYHPc7xou47nmOerrbf5gPdxHPNrMlZd9fFWs4Oj\nr2sfH4qKgKeeMt6PODbW8vONZbGxvufl5xsBNGiQ8fBYudJYfsstxpiuy1asMLaemjUzLmVlxqVD\nB+NFTsR4d65q9C0rM66LGO1btjRCIizMGL+kBPjprBFKvyt7BNvD5+HWc8sRezodzz1nvND6uj/h\n4e61lpQYbV56yZj31FNA8+bAl19WrKP+/Y3gfOmliqfCsWNAerrxns1xO2fPAjab+xZJsG38LQeq\nv2z5cmDkSPf5roEdFQXk5Rnh3KuX0e6HH4z/R0iI8be42LgeEmJsXZaVGW3qa0vKrC2o+jpIoiaF\n+0yh6dOnOy82xyOhsVi/3ggfRwiXlRmP3rw8429REbBunfEILS52Xp+ZnY1yl3ACgAtlZZiZm2sE\n3YoVwCefGNfLy43ra9cCqanGK0FqqjEdyLzMTONt7tq1FeOtXWvMy8z03tbb/Nxc4+I5jmN+Tcaq\nqz7eanZwjHnRRRV9/Dh1ytiqcN0bW1RkXPzNCw01Hh6hocD58xUvWOfPV14GVDykwsMrpsvKjIBo\n3tx4dy5S0S4kpOJvWZmx3DF+VBTQKi8dXfIewdfNZ+AKPIJeEekoLTWCzt/98aw1Kspof+pUxboI\nDTVuLyrK+BsaWtHG4eBBoy7X2ykrM+ab2cbf8pos+/77yvPPn69YF4DxRqC83LjfxcXG/0XEmOf4\nv4SGGv+rZs2MdbR7t9+HmalsNpvb67BZzNjFdwRAist0R/s8zzbJXtqE++mbKyLxqnpURBIAHPNV\ngJkrxHKmTDFeMVxduFDxKM3LM56pjp+LOX0aOapYdOoUPHqhRBWL8vMxJTERCbt3G4/m6Ghj4e7d\nxtvnc+eMR/xvv1U8+6uaFx8PzJ0L5OQYzw7AuD53rvHM+u23ym29zXe8jfYcxzG/WbPqj1VXfbzV\n7NhSWrnSWBYWZvx1XeZFTIzR1PXjLsdWgr95Fy5UvDi1bGm8eAHGLp+iIvdlQMVDxvHwcmwdhYcb\nDy/HC54hWHt/AAANDklEQVSjXXl5xYtis2bG8vJyY/zCQqAgzob9cfNwTfE0fBc+D/Hn0hEblo6U\nFP/3p0UL91oLC432js+lwsIqQqmwsCKsXNsAxucyzZq5306zZhWf15jVpqrl1V122WWV57do4f6/\nLS01HnYXLhhbUKoVW1COded4w+B4I9Krl8+HmOnS09ORnp7unJ4xY4Yp45qxiy8UwB4YBzrkANgC\nYKyq7nZpMwTAI/aDJK4G8Ir9IAmffe0HSeSp6pwme5DEjh3Gvoyiooq3sa5CQytePVq0cG7rPwxg\nYVlZpYACjHcE90VHY55jRtu2xhgnThj7W8LCKhq73qbnq5RjXkiI8UHA9u3u+xwcr2yXXAL8+GPF\nW72+fY3piy5yn3/55caztKTEeEvpuH0R4xkcHm488/73fwMfCzCe2d9/b06fiy82/ieO+ZddZqwv\nbzVfcw3w978b8/7rv9w3A8LCgOefd3919fDjj8C8ee6f2QBVz6ufz6CA4y1tyOwwEi9etRxb3nf/\nDOreG9KrvD/+PoNy9A3kM6h//ct4T+fv8yUz2vhbXpNl3uYD7vOGDAFWrWoYn0GZtYsv6ICyFzMY\nwN9h7DJcqKqzReQBAKqq8+1t/gFgMIAiABNU9Qdffe3z4wC8D2PLKwvAKFU9BQ+NOqAuXDAekbt2\nGfsHzpwxHoXt2xsvbqmpFSFlf7XI+fVXdJ48Gec9t7pcRDRvjl/ffBMJsbFGQAHAyZMVYeX6ttnB\n17yQEOPV4tgx44Xb8b9whFf79sYri+NFPT7eONSoXTv3+QkJFeGWk1PxtjAkxNiyc7x1d+yiDGQs\noG76eKs5MdE43A0AjhypWOZYnpRUeX164FF8ldcFj+JrWkfxmRJQ9alRB1QNPPzww1i4cCFK/ARU\neHg47rvvPsybN89nG6JAVPU9J34PqmliQNkxoNx17NgRR454fgRYWVJSEg4fPlwHFVFjFWj4MKSa\nHgaUHQOKqO5VN3QYUk1LQz/MnIgaqJqEjZnnk6KmgwFFRAELZkuIIUXVxYAiooCYsZuOIUXVwYAi\noiqZ+RkSQ4oCxYMkiMgvVcWQZUOQ0T/D1AMcbAdsmPPlHKwatwpSxXfCqGHhUXx2DCii2qeqtRIi\ntTUu1S8exUdEdaa2QoThRP4woIiIyJIYUEREZEkMKCIisiQGFBERWRIDioiILIkBRURElsSAIiIi\nS2JAERGRJTGgiIjIkhhQRERkSQwoIiKyJAYUERFZEgOKiIgsiQFFRESWxIAiIiJLYkAREZElMaCI\niMiSGFBERGRJDCgiIrIkBhQREVkSA4qIiCyJAUVERJbEgCIiIktiQBERkSUxoIiIyJIYUEREZEkM\nKCIisiQGFBERWRIDioiILIkBRURElsSAIiIiS2JAERGRJTGgiIjIkhhQRERkSQwoIiKyJAYUERFZ\nEgOKiIgsiQFFRESWxIAiIiJLYkAREZElMaCIiMiSGFBERGRJDCgiIrIkBhQREVlSUAElIrEislZE\n9ojIGhFp7aPdYBH5WUT2ikhGVf1FpJOInBWRH+yX14Opk4iIGp5gt6AmAfhCVXsAWA/gac8GIhIC\n4B8AbgLQB8BYEekZQP9fVPVS++XhIOskIqIGJtiAGgZgsf36YgB/8NLmSgD7VDVLVUsBvGfvV1V/\nCbI2IiJqwIINqPaqehQAVDUXQHsvbZIAHHKZPmyfBwDxfvqn2nfvbRCRa4Osk4iIGphmVTUQkX8D\niHedBUABPOuluQZZj6N/DoAUVc0XkUsBfCwivVW1MMjxiYiogagyoFR1kK9lInJUROJV9aiIJAA4\n5qXZEQApLtMd7fMAINdbf1UtAVBiv/6DiOwH0B3AD97qmD59uvN6eno60tPTq7pbRERkEpvNBpvN\nZvq4olrzjR4RmQMgT1Xn2I/Oi1XVSR5tQgHsAXAjjC2jLQDGqupuX/1FpK19frmIdAawEcDFqnrK\nSw0azH0gIiJziQhUNejjCIINqDgA7wNIBpAFYJSqnhKRDgAWqOqt9naDAfwdxmdeC1V1dhX9/wjg\nORhbUeUApqrqKh81MKCIiCzEEgFlBQwoIiJrMSug+EsSRERkSQwoIiKyJAYUERFZEgOKiIgsiQFF\nRESWxIAiIiJLYkAREZElMaCIiMiSGFBERGRJDCgiIrIkBhQREVkSA4qIiCyJAUVERJbEgCIiIkti\nQBERkSUxoIiIyJIYUEREZEkMKCIisiQGFBERWRIDioiILIkBRURElsSAIiIiS2JAERGRJTGgiIjI\nkhhQRERkSQwoIiKyJAYUERFZEgOKiIgsiQFFRESWxIAiIiJLYkAREZElMaCIiMiSGFBERGRJDCgi\nIrIkBhQREVkSA4qIiCyJAUVERJbEgCIiIktiQBERkSUxoIiIyJIYUEREZEkMKCIisiQGFBERWRID\nioiILIkBRURElsSAIiIiS2JAERGRJTGgiIjIkhhQRERkSQwoIiKyJAYUERFZEgOKiIgsiQFFRESW\nFFRAiUisiKwVkT0iskZEWvtoN1hEfhaRvSKS4TL/dhHZKSIXRORSjz5Pi8g+EdktIv8ZTJ1ERNTw\nBLsFNQnAF6raA8B6AE97NhCREAD/AHATgD4AxopIT/viHwEMB7DRo08vAKMA9AJwM4DXRUSCrNUy\nbDZbfZdQbay59jW0egHWXBcaWr1mCjaghgFYbL++GMAfvLS5EsA+Vc1S1VIA79n7QVX3qOo+AJ7h\nMwzAe6papqoHAOyzj9MoNMQHHGuufQ2tXoA114WGVq+Zgg2o9qp6FABUNRdAey9tkgAccpk+bJ/n\nj2efIwH0ISKiRqRZVQ1E5N8A4l1nAVAAz3ppribVRURETZ2q1vgCYDeAePv1BAC7vbS5GsDnLtOT\nAGR4tNkA4FJfbQB8DuAqHzUoL7zwwgsv1roEky2OS5VbUFVYAeAeAHMA3A3gEy9tvgPQVUQ6AcgB\nMAbAWC/tXD+HWgFgqYi8DGPXXlcAW7wVoKqN5uAJIiKqEOxnUHMADBKRPQBuBDAbAESkg4h8BgCq\negHAowDWAtgF4+CH3fZ2fxCRQzC2sj4TkdX2Pj8BeB/ATwBWAXhY7ZtLRETUNAhf94mIyIoaxC9J\nBPKFYBHpKCLrRWSXiPwoIv+nOv3ro2Z7u4UiclREdnjMnyYih0XkB/tlcAOouU7XswlfFK+zdeyr\nBo82r9q/nL5NRPpVp68F6v2dy/wDIrJdRLaKiNdd8/VRs4j0EJGvROS8iDxZnb4Wrdmq63mcva7t\nIpIpIn0D7VuJGR9k1fYFxq7E/7JfzwAw20ubBAD97NejAOwB0DPQ/vVRs33ZtQD6AdjhMX8agCet\ntp6rqLlO13OAj4sQAL8A6AQgDMA2l8dFnaxjfzW4tLkZwEr79asAfBNoXyvVa5/+FUBsHT92A6m5\nLYDLAMx0/b/XxzoOtmaLr+erAbS2Xx8czGO5QWxBIYAvBKtqrqpus18vhHGEYVKg/WtBQLepqpkA\n8n2MUdcHgARbc12v56C+KG5XF+u4qhpgn14CAKr6LYDWIhIfYF8r1QsY67SuX1uqrFlVT6jq9wDK\nqtvXgjUD1l3P36jqafvkN6h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ZE8xv1Sp4S+/ZA02bBuuAIJyOHAmW1ahR8GG3bFmwzE2boEGacUWTiWQfGMvM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\ns1x3z6m6Zt1SH8dVH8cE9XN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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2356,15 +2265,13 @@ { "cell_type": "code", "execution_count": 55, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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EVZK2AsdHxIf6HH8ucHlE/OaQzz8H/GPbphOAfxoh5KI53slyvJPleCeryvH+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\nZmZJcoIyM7Mk/X9Mim5VeqIJhwAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2418,6 +2325,7 @@ } ], "metadata": { + "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", @@ -2433,9 +2341,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.2" + "version": "3.6.0" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/code/ch06/ch06.ipynb b/code/ch06/ch06.ipynb index 2968274e..67aeaf62 100644 --- a/code/ch06/ch06.ipynb +++ b/code/ch06/ch06.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Copyright (c) 2015, 2016 [Sebastian Raschka](sebastianraschka.com)\n", + "Copyright (c) 2015 - 2017 [Sebastian Raschka](sebastianraschka.com)\n", "\n", "https://github.com/rasbt/python-machine-learning-book\n", "\n", @@ -35,24 +35,22 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sebastian Raschka \n", - "last updated: 2016-09-29 \n", + "last updated: 2017-04-09 \n", "\n", "CPython 3.5.2\n", - "IPython 5.1.0\n", + "IPython 5.3.0\n", "\n", - "numpy 1.11.1\n", - "pandas 0.18.1\n", - "matplotlib 1.5.1\n", - "sklearn 0.18\n" + "numpy 1.12.1\n", + "pandas 0.19.2\n", + "matplotlib 2.0.0\n", + "sklearn 0.19.dev0\n" ] } ], @@ -166,60 +164,15 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "import pandas as pd\n", - "\n", - "df = pd.read_csv('https://archive.ics.uci.edu/ml/machine-learning-databases'\n", - " '/breast-cancer-wisconsin/wdbc.data', header=None)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(569, 32)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df.shape" - ] - }, - { - "cell_type": "markdown", "metadata": {}, - "source": [ - "
\n", - "\n", - "### Note:\n", - "\n", - "\n", - "If the link to the Breast Cancer Wisconsin dataset dataset provided above does not work for you, you can find a local copy in this repository at [./../datasets/wdbc/wdbc.data](./../datasets/wdbc/wdbc.data).\n", - "\n", - "Or you could fetch it via" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rows, columns: (569, 32)\n" + ] + }, { "data": { "text/html": [ @@ -402,29 +355,52 @@ "[5 rows x 32 columns]" ] }, - "execution_count": 6, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "df = pd.read_csv('https://raw.githubusercontent.com/rasbt/python-machine-learning-book/master/code/datasets/wdbc/wdbc.data', header=None)\n", + "import pandas as pd\n", + "import urllib\n", + "\n", + "try:\n", + " df = pd.read_csv('https://archive.ics.uci.edu/ml/machine-learning-databases'\n", + " '/breast-cancer-wisconsin/wdbc.data', header=None)\n", + "\n", + "except urllib.error.URLError:\n", + " df = pd.read_csv('https://raw.githubusercontent.com/rasbt/'\n", + " 'python-machine-learning-book/master/code/'\n", + " 'datasets/wdbc/wdbc.data', header=None)\n", + " \n", + "print('rows, columns:', df.shape)\n", "df.head()" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 5, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(569, 32)" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "
" + "df.shape" ] }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, + "execution_count": 6, + "metadata": {}, "outputs": [ { "data": { @@ -432,7 +408,7 @@ "array([1, 0])" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -449,10 +425,8 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, + "execution_count": 7, + "metadata": {}, "outputs": [], "source": [ "if Version(sklearn_version) < '0.18':\n", @@ -481,10 +455,8 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, + "execution_count": 8, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -511,10 +483,8 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, + "execution_count": 9, + "metadata": {}, "outputs": [ { "data": { @@ -523,7 +493,7 @@ "" ] }, - "execution_count": 10, + "execution_count": 9, "metadata": { "image/png": { "width": 500 @@ -567,10 +537,8 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, + "execution_count": 10, + "metadata": {}, "outputs": [ { "data": { @@ -579,7 +547,7 @@ "" ] }, - "execution_count": 11, + "execution_count": 10, "metadata": { "image/png": { "width": 500 @@ -609,10 +577,8 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, + "execution_count": 11, + "metadata": {}, "outputs": [ { "data": { @@ -621,7 +587,7 @@ "" ] }, - "execution_count": 12, + "execution_count": 11, "metadata": { "image/png": { "width": 500 @@ -636,10 +602,8 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, + "execution_count": 12, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -690,10 +654,8 @@ }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, + "execution_count": 13, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -752,10 +714,8 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, + "execution_count": 14, + "metadata": {}, "outputs": [ { "data": { @@ -764,7 +724,7 @@ "" ] }, - "execution_count": 15, + "execution_count": 14, "metadata": { "image/png": { "width": 600 @@ -779,16 +739,14 @@ }, { "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": false - }, + "execution_count": 15, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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r79vj8uD3+Pv1iaSdMbVJXUsdpjYpSi+iKL1ov7cwiVJKke5NJ92bTklmCXWB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\nRJ+kk0gOYIGZtXt2MTZspK80G7qmN4GngE9RkP0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25d+ybs869vXsG3S56+ZfVz6/NXXM1MNO1ifK723W12YNuLzeeXh5pBbuB7UL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\n2bhxIxERERw8eJCSkhLatm0bsJ+NGzcyZcoUAHr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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -867,16 +825,14 @@ }, { "cell_type": "code", - "execution_count": 17, - "metadata": { - "collapsed": false - }, + "execution_count": 16, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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elqLSG+z8McZQ7C6m2F3M9IrpPZ4/sWQiS2YssQJaWx2b9m+irq2Og8cezHeP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\nTcpYU0PfJyLLhjotucgYUwr8RES+PNRpyUXGmMd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bL5t1ve7GjnUdHLbsGXw7PPdvby5pe/t2vnzKl7nypCt5R+M7+M653+Edje/I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\nifg1Erjf//73bNiwAYvFwsmTJwkNDbXHIyUlhcT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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -966,17 +922,15 @@ }, { "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": false - }, + "execution_count": 17, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.978021978022\n", - "{'clf__C': 0.1, 'clf__kernel': 'linear'}\n" + "{'clf__kernel': 'linear', 'clf__C': 0.1}\n" ] } ], @@ -1010,10 +964,8 @@ }, { "cell_type": "code", - "execution_count": 19, - "metadata": { - "collapsed": false - }, + "execution_count": 18, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1046,10 +998,8 @@ }, { "cell_type": "code", - "execution_count": 20, - "metadata": { - "collapsed": false - }, + "execution_count": 19, + "metadata": {}, "outputs": [ { "data": { @@ -1058,7 +1008,7 @@ "" ] }, - "execution_count": 20, + "execution_count": 19, "metadata": { "image/png": { "width": 500 @@ -1073,10 +1023,8 @@ }, { "cell_type": "code", - "execution_count": 21, - "metadata": { - "collapsed": false - }, + "execution_count": 20, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1102,10 +1050,8 @@ }, { "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false - }, + "execution_count": 21, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1157,10 +1103,8 @@ }, { "cell_type": "code", - "execution_count": 23, - "metadata": { - "collapsed": false - }, + "execution_count": 22, + "metadata": {}, "outputs": [ { "data": { @@ -1169,7 +1113,7 @@ "" ] }, - "execution_count": 23, + "execution_count": 22, "metadata": { "image/png": { "width": 300 @@ -1184,10 +1128,8 @@ }, { "cell_type": "code", - "execution_count": 24, - "metadata": { - "collapsed": false - }, + "execution_count": 23, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1209,16 +1151,14 @@ }, { "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": false - }, + "execution_count": 24, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1256,10 +1196,8 @@ }, { "cell_type": "code", - "execution_count": 26, - "metadata": { - "collapsed": false - }, + "execution_count": 25, + "metadata": {}, "outputs": [ { "data": { @@ -1267,7 +1205,7 @@ "array([1, 0])" ] }, - "execution_count": 26, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -1278,10 +1216,8 @@ }, { "cell_type": "code", - "execution_count": 27, - "metadata": { - "collapsed": false - }, + "execution_count": 26, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1306,10 +1242,8 @@ }, { "cell_type": "code", - "execution_count": 28, - "metadata": { - "collapsed": false - }, + "execution_count": 27, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1334,10 +1268,8 @@ }, { "cell_type": "code", - "execution_count": 29, - "metadata": { - "collapsed": false - }, + "execution_count": 28, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1379,10 +1311,8 @@ }, { "cell_type": "code", - "execution_count": 30, - "metadata": { - "collapsed": false - }, + "execution_count": 29, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1404,17 +1334,15 @@ }, { "cell_type": "code", - "execution_count": 31, - "metadata": { - "collapsed": false - }, + "execution_count": 30, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.982798668208\n", - "{'clf__C': 0.1, 'clf__kernel': 'linear'}\n" + "{'clf__kernel': 'linear', 'clf__C': 0.1}\n" ] } ], @@ -1458,16 +1386,14 @@ }, { "cell_type": "code", - "execution_count": 32, - "metadata": { - "collapsed": false - }, + "execution_count": 31, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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eiSv/phNdKz9SWFjIihUrOHHiBGPGjOHss8+2OiQVoLRjmwpqOTk5LFu2zOow\nVIDZtWsX0dHRXHvttZrAlVcF7Z24tomr2OdjyVmYAyuAYcDo6mVimlvT0OyBR9yVhfr27Wt1CCpI\nBG0S1+Stco7m0OKHFhRSyJqX1jBkyBCrQ3LS1gOllDu0Ol0FrxX2tsurrrrKpxK48h8nT57k4MGD\nVoehgpgmcRWU9u7dC+vszSpPPfWU1eEoPyMibN++nQULFnD06FGrw1FBLGir07VNPLi99NJLUAY3\n/eYmkpKSrA5H+ZGTJ0+ybNkyCgsLueKKK2jTpo3VIakgps+JK//QgAelY5+PJae4hmfLT0Hzdc3Z\n/MZmEhMTPRBgLXFY84i78oJffvmF5cuX06dPHwYOHEhIiFZmqsZR03PimsSVf2hAEteBWpSnHT16\nlJCQEFq3bm11KCrI6AQoyr/ExtqzX/lyBs9YZWZmcvz4cQ8Gp4LVWWedpQlc+ZSgTeLGGGe7uPJB\n5c9YlS8NrFt+++23GThwIDNnzvRwgEopZb06k7ixu8UY87hjPd4Y4/fP44iIdmoLYEVFRfAZ3HXX\nXZw6dYqc+jZKq6AlImzdupW1a9daHYpSdXKnd/o/ARswCngSyAcWAIO9GJdSlVTqpFYAFAHNgUgX\nhY9i/x96CMLDw5kxYwaTJk2q/p4N6HDWEDramv/Iz89n2bJllJSUkJycbHU4StXJnSR+voica4zZ\nACAiOcaYpl6OSwWyBsyrmVOcg0wTli1bxujRozl9+jS///3vef2l16sd+tprr/HAoQfo3r07CxYs\nqPERMh0VTZUTETIzM1m3bh1JSUkkJSVpz3PlF9xJ4qXGmFBAAIwxZ2G/M/dr+py4hRqYPYuKirjj\njjs4ffo08fHxtG3b1mW5mJgYfvvb3/Lyyy8THR19ptGqILBp0yZ2797N+PHjidGqE+VH6nzEzBhz\nM3AjcC7wPpAC/EVE5nk/vEpx6CNmgaKBj4s9UvgIL7zwAn369OGHH36gadMzqxDSR79UudLSUkJD\nQ/XuW/msM3pO3BjTC/scTwb4VkQyPR9inTFoEg8UDUni9xtC/xWKzWYjPT2dCy64wIowlFLKEjUl\n8Tqr040xs0XkVmCbi21KnbFaR1ZziO4YzT9n/5Pt27d7JIGr4CQiFBUV0aJFC6tDUcoj3GkT71Nx\nxdE+Psg74TQebRNvRHVMjl3eaU0pbzpx4gRpaWnExMQwbNgwq8NRyiNqTOLGmD8DjwHhxpg87FXp\nACXAvxtOIqQJAAAgAElEQVQhNq/S5N2ItBu4spDNZuPHH39kw4YNnHvuufTp06fug5TyE+50bHtO\nRP7cSPHUFoe2ifurWhqfbTYbof8vlB/v+dG57eDBg3z88ce8+uqrXq321DbxwJebm0taWhrGGEaM\nGEGrVq2sDkmpBjnTjm0xQCL24TUAEJFlbp74cuAV7KPDvSMiz7sokwy8DIQBR0VkpIsymsT9VS3Z\ncuXKlVw89mL7EEJVzJo1i1tv9V7XC03igW/79u2UlJTQp08fHWZZ+bUGJ3FjzJ3A/wM6ARuBC4BV\nIjLKjZOGANux92zPAr4HbhKRip3kWgHpwGUicsAY00ZEjrl4L48mcW0Tb0R1ZEtzv+G81edRWFgI\nQNOmTRk3bhx33nknCQkJVoWllFI+o8G907En8MHAahEZ6Xjc7Fk3zzsE2CEiexxBfAxcTYWe7sBE\nYIGIHABwlcC9QZN3AzV0cuzatIHvv/++4TEppVSQcmdkg2IRKQYwxjRz3EX3dPP9OwL7Kqzvd2yr\nqAcQa4z5zhjzvTFGH13zZVVnF3NnaeAMZEq5Kycnh927d1sdhlKNzp078f3GmGjgP8DXxpgcYI+H\nYzgX+wQrLYFVxphVIvJz1YLTp093vk5OTtYJCpQKcjabjc2bN7N582bOP/98q8NRymNSU1NJTU2t\ns5xbHduchY0ZAbQCvhSREjfKXwBMF5HLHet/AqRi5zZjzKNAcxF5wrH+NrBYRBZUeS9tE/cFHmpI\nFhHnz8A8YSx5TlzbxP1bdnY2aWlpNG3alOHDhxMZ6WpKO6UCQ01t4rVWpxtjQo0xzvZrEUkTkc/d\nSeAO3wPdjTEJjpnPbgI+r1LmM+Bix7laAOcDXh/WVecTt86WLVvo1asX77zzjtWhKD+1fft2Fi5c\nSO/evbniiis0gaugVWt1uoiUGWN+MsbEi8je+r654/gpwFf8+ohZpjHmbvtu+beIbDPGLAE2A2XA\nv0VkawOuRXlDHaOtNcSrr77K9u3b2bhx4xm/lwpOZ599NhMmTCAiIsLqUJSylDuPmC0DBgJrgZPl\n20XkKu+GVi0OfU7cCh6ucz527BhxcXEUFxfz008/0aNHD61OV0qpOpzJI2Z/8UI8ltM2cWu88sor\nFBcXc8UVV9CjRw+rw1F+oGL/CaVUZfXq2GYlvRO3iAdvV2fMmMG9995rX5kEdLW/jGkeQ/ajtT+G\n1pDH0+sSE6NPv/mysrIyNmzYQHFxMRdffLHV4ShlqTMadtUXaBK3iAeT+PHjx7nwwgvZ3mM78t96\nzieuVd9B5dixY6SmphIREcGwYcNo2bKl1SEpZSlN4qphPJw9S0pKaPZcs3q3gWsSDw7ld99bt27l\nggsuIDExUavSleLM2sQxxoQD8SLyk8cjs4i2iVujadOmVoegfNjmzZs5fvw4KSkpXp3BTqlAUWcS\nN8aMB14CmgJdjDEDgCcbu3e6p2nybjyxz8eSU/xrg3ZM88qPqbnT3u2BJ9uUH+jfvz/GGL37VspN\n7tyJT8c+kUkqgIhsNMZ08WJMKgDMmzePr776ipdeeomc4pxaq8/Lh2NXKiTEnekclFLl3EnipSJy\noso3Y/2Tq2p0/PhxpkyZwtGjR7nwwgutDkf5oNOnT3Py5ElatWpldShK+TV3vvZmGGMmAqHGmERj\nzGvY5//2a1pl5z1/+MMfOHr0KMnJyfz2t7+1OhzlY44cOcKnn37K1q06MKNSZ8qdO/H7ganAKeAj\nYAnwtDeDagzaJu4dX375JbNnz6Z58+a89dZbWj2qnE6fPs26devYsWMHF110EV27drU6JKX8njtJ\nvJeITMWeyJWqUXFxMffccw8ATz31FN27d7c4IuUrDh8+TGpqKq1btyYlJYXw8HCrQ1IqILiTxP9m\njGkHfALMFZEfvRyT8lNFRUVceumlrF+/ngcffNDqcJQPKS4uZvDgwXr3rZSHuTXYiyOJ3wDcCERh\nT+aNWqWu84l7QEPGLm3A2KSlpaWEhYU51+ua4EQHclFKqdo1aD7xciJySEReBe4BNgKPezi+RheU\n84mXP8tVn6UBg4tXTOBKKaW8p84kbozpbYyZbozZApT3TO/k9ciUUn7n4MGDbNu2zeowlAoa7rSJ\nzwTmAmNEJMvL8Sil/FBpaSlr167ll19+YdiwYVaHo1TQqDOJi8jQxgiksQVlm7gXHD16lL179zJo\n0CCrQ1EWycrKIi0tjXbt2pGSkkLz5s2tDkmpoFFjdboxZp7j3y3GmM0Vli3GmM2NF6J3BHybeGys\nvcdYxcULA5A/++yznHfeebzwwgsef2/l+zIyMvjuu++48MILGTlypCZwpRpZbXfi/8/x77jGCER5\nmBcHJC8oKGDevHnMnDmTlStXAnDZZZd55VzKt3Xu3Jnu3bvTrFkzq0NRKijVmMRF5KDj5X0i8mjF\nfcaY54FHqx+lAl1BQQFxcXHk5uYC0LJlS/7yl78wYMAAiyNTVmjZsqXVISgV1Op8TtwY84OInFtl\n22YRSfJqZNXj0OfE68OLD1+PHz+enJwc7rjjDh7a9xC5klv7AUUx8HzNj6o14FF0ZQGbzabD6Cpl\nkZqeE68xiRtj7gXuA7oCOyvsigRWisgt3gi0Jp5O4gHPi0n81KlTzurTqgO56MAtgaekpITVq1dj\ns9lITk62OhylglJDBnv5CBgPfO74t3wZ1NgJXDW+rVu38sQTT2Cz2art0/bP4LFv3z4++eQTAJ1W\nVikfVFvHNhGR3caY31fdYYyJFRGtAA1QR44c4corr2T37t20atVKx0EPQiUlJaxatYoDBw4wfPhw\nOnXS8Z2U8kW1VacvFJFxxphfAAEq3saLiDTqTAbaJl672OdjySn+dVx0mQ5megPeqBR4H9gPdAB+\nCzStuXhM8xiyH/31+5xWpweGTZs2kZeXx/nnn0/TprX8B1BKNYp6t4n7Gm0Tr121SUYakE1tNhsT\nJ05k7ty5xMfHs2bNGtq1a1e/ODSJBwQRcX7RVUpZr8EToBhjLjLGtHS8vsUY83djTLw3glTWevXV\nV5k7dy6RkZEsXLiw3glcBQ5N4Er5B3eeF/kXUGiM6Q88jL2n+myvRqUsce211zJmzBhmz55Nv379\nrA5HNYJTp05x7Ngxq8NQSjWQOxOgnBYRMcZcDbwuIu8YY+7wdmDeFmht4p6QkJDA4sWL9S4sSOzZ\ns4cVK1bQq1cv2rRpY3U4SqkGcCeJ5xtj/gzcCgwzxoQAfj9htCZv1zSBB77i4mLS09M5cuQII0eO\npEOHDlaHpJRqIHeq028ETgG3i8gh7HOJv+jVqJRSXlH+3Hfz5s257rrrNIEr5efc6p1ujGkLDHas\nrhWRI16NynUM2ju9Fg3pnV7+eXry7lt7p/u2gwftUyK0b9/e4kiUUvVxJr3TbwDWAtcDNwBrjDEp\nng+xcRljgqrquLS0lFtvvZX4+Hg6depEp06dCA8PZ+jQoezevdvq8FQjad++vSZwpQKIO23iU4HB\n5XffxpizgG+AT7wZmLcF2119WFgYe/bsYd++fZW2r1mzhuXLl9O5c2drAlNKKdVg7iTxkCrV58dx\nry1d+Zh//OMfNGvWjKioKOe28PBwWrdubWFUyht27dpFXl6eThGrVIBzJ4l/aYxZAsxxrN8IfOG9\nkJS3DBw40OoQlJcVFRWxYsUKcnJyGDFihNXhKKW8rM4kLiL/Y4yZAFzs2PRvEfk/74blffqcuAok\nIsKuXbtIT0+nR48ejBw5kiZN3PmOrpTyZ+5Wi6cDacB3wCrvhdN4RCSgE/jDwM0330xGRobVoahG\nsGXLFtavX8+YMWM4//zzNYErFSTqfMTMGHMn8DiwFPtMZiOAJ0VkpvfDqxSHPmJWi4qPmNlsNjqE\nhnIY2Lx5c6MOoaqPmFnj1KlThIaGavJWKkDV9IiZO7/x/wMMFJHjjjdqjf3OvFGTuHLfxo0bOQx0\n7NiRvn37Wh2OagTNmjWzOgSllAXcqU4/DuRXWM93bPNrgfyc+OLFiwG44oorAvYag5WIUFJSYnUY\nSikf4c6d+M/YB3j5DBDgamCzMeYhABH5uxfj85pArpovT+Jjx461OBLlSSdPnmT58uWEh4drz3Ol\nFOBeEt/pWMp95vg30vPhqDN18uRJ1q9fTxNg9OjRVoejPEBE2LFjB6tXr+acc87RRwWVUk7uPGL2\nRGMEomoW+3wsOcU5tZaJaR4DQMuWLTly5AgboqIqDeri1nliIaf209QpJubMjleVnTx5kmXLllFY\nWMgVV1yhU4YqpSpxawIUX+Dp3un+9Jx4tclN3Dqo/t3EtWe579m6dStFRUUMGDCA0NBQq8NRSlmk\nwROgeODElxtjthljthtjHq2l3GBjTKljYBmvC/TnxFVgOOeccxg0aJAmcKWUS15N4saYEOB1YAzQ\nB/iNMaZXDeX+CizxZjxKKaVUIKmzTdwY0wP4F9BWRPoaY5KAq0TkaTfefwiwQ0T2ON7rY+y927dV\nKXc/9lnRBqNUECooKODEiRN07NjR6lAs1blzZ/bs2WN1GEpZJiEhoV7TQ7vTO/0t7AO+vAkgIpuN\nMR8B7iTxjkDFuS/3Y0/sTsaYDsA1IjLSGFNpnzf5U5u4O0SE7777jiFDhhAREWF1OMpNIkJmZibr\n1q3j3HPPDfokvmfPnoD5nVSqIeo7toc7SbyFiKyt8san63WW2r0CVGwrr/EKpk+f7nydnJxMcnJy\ng08aaH8oPvnkE2644QbatGnD3r17Cbc6IFWn/Px8li1bRklJCePGjSM2NtbqkJRSPiI1NZXU1NQ6\ny7kzdvpiYAowX0TONcakAHeISJ0jiRhjLgCmi8jljvU/ASIiz1cos6v8JdAGOAn8TkQ+r/JeQTt2\nel29048fP84555zDkSNH+Ne//sU999yjvdN93M6dO1mxYgX9+/cnKSmJkBCv9zH1C44euFaHoZRl\navodqKl3ujtJvCvwb+BCIAf4BbhFRHa7EUwo8BMwGjgIrAV+IyKZNZR/F/iviHzqYl/QJvHscENs\ncc37JwGzsc9MsxRHb8WYGMjOrtd5NIk3nuPHjxMSEkKMPlhfiSZxFezqm8TdGexlF3CJMaYlECIi\n+XUdU+HYMmPMFOAr7LnlHRHJNMbcbd8t/656iLvvfab8qU08tpgas+vixYuZfcUVNG/enLc2byYk\nMbFxg1MN0rp1a6tDUEoFgDrr8IwxjxtjHsc+RfUfKqy7RUS+FJGeIpIoIn91bHvTRQJHRG53dRfu\nDYHynPjSpUsBeOqpp0jUBK5UQEpPT6dHjx5ERUXx+eef11r2iSee4NZbb61xf5cuXZx/Nzzh4osv\nZtOmTR57v0CWkpLCkiWefZLanYa4kxWWMmAs0NmjUagGe/HFF1m6dCkPPvig1aGoKkSELVu2sHr1\naqtDUR7SuXNnWrRoQVRUFB06dOC2226jsLCwUpn09HRGjx5NVFQUMTExXH311WRmVm5BzM/P58EH\nHyQhIYGoqCgSExN56KGHyK6hCezxxx/ngQceIC8vj6uuuqrOOBs6e2FqaiqjRo0iOjqarl271ll+\n4cKFREVF0b9//wadz1d89NFHdO7cmcjISCZMmEBubm6t5f/xj3/QtWtXIiIi6NOnDz///LNz3zPP\nPENCQgLR0dFMnDiRgoIC575HH32UqVOnejT2OpO4iPytwvIMkAzU/dNVHrVkyRJuvvlmduzYUW3f\nyJEjadLEnQcNVGM5ceIE//3vf9m1axe9elUb30j5KWMMixYtIi8vj40bN7Jhwwaee+455/5Vq1Yx\nZswYrr32Wg4ePMgvv/xCUlISF110kfPZ39LSUkaNGkVmZiZfffUVeXl5rFq1ijZt2rB27VqX592z\nZw/nnHOO16+vZcuW3HHHHbz00ktulZ8xY0atd/21KSsra9BxnpaRkcE999zDhx9+yOHDhwkPD+fe\ne++tsfzbb7/Nu+++y+LFiykoKGDhwoXOOQ3ef/99PvzwQ1atWkVWVhaFhYVMmTLFeezgwYPJz8/n\nhx9+8NwFlFcru7sAMcDP9T3uTBd7qJ6Dvf3do+/pLTaQQYMGCSAvvvii187jJx+HTysrK5NNmzbJ\ne++9J5s3b5aysjKrQ/Irvv472blzZ/n222+d64888oiMGzfOuT5s2DCZMmVKtePGjh0rkydPFhGR\nt956S9q1ayeFhYVunbNbt24SGhoq4eHhEhkZKSUlJZKVlSVXXXWVxMbGSmJiorz11lvO8tOnT5db\nb73VuT5r1ixJSEiQNm3ayDPPPFPtGlz55ptvpEuXLrWWKSkpkfDwcDlw4IBz29q1a2Xo0KESHR0t\nHTp0kClTpkhpaalzvzFG3njjDUlMTJSuXbuKiEhmZqZceumlEhsbK7169ZJ58+Y5yy9atEgGDhwo\nUVFREh8fL9OnT3frM6uPxx57TG6++Wbn+s6dO6Vp06ZSUFBQrazNZpO4uDhZunSpy/dKSUmp9Dc6\nPT1dwsPDpaioyLntrrvukieffLLGeGr6HXBsr5Yb3WkT32KM2exYMrD3Nn/Fc18jrCG/fjnweZ8B\n69evp127dtx3331Wh6NqsWnTJnbv3s0111xDv3799NGxALZ//34WL17s7ItSVFREeno6KSkp1cre\ncMMNfP311wB8++23XH755YSHuzeaw88//0xcXJyzBiAsLIwbb7yR+Ph4Dh06xPz583nsscdcPlO8\ndetW7rvvPj788EOysrI4fvw4Bw4caPhFV7Bjxw5CQ0Pp0KGDc1toaCivvPIK2dnZrFq1iqVLl/LP\nf/6z0nGfffYZa9euZevWrRQWFnLZZZdxyy23cOzYMT7++GN+//vfs22bfVDPiIgIZs+ezYkTJ1i0\naBEzZsyosU/Avn37iImJITY2lpiYmEqvY2Nj+fjjj10el5GRUak5oGvXrjRr1ozt27dXK7t//372\n79/Pli1biI+Pp1u3bpXGL6nKZrNx6tSpSjWovXv39mgfAnfqYMdVeH0aOCwinhzsJejVOtWoDfo6\nXk6dOpUWLVo0Wlyq/vr168eAAQMa3Cap6uapj7ah3+GvueYawD5U7ujRo51/xLOzs7HZbLRv377a\nMe3bt+fYsWOA/fHC8847rwHx2gPev38/q1at4ssvvyQsLIz+/ftz5513MmvWrGoDYC1YsIDx48dz\n0UUXAfYOsK+//nq9z+1Kbm4ukZGRlbade+65ztfx8fH87ne/Iy0tjQceeMC5/bHHHiM6OhqAefPm\n0aVLFyZNmgRA//79mTBhAvPnz+cvf/kLw4cPdx7Xt29fbrrpJtLS0lz2C4iLiyOnAXMpFxQU0KpV\nq0rboqKiyM+v/iDW/v37Afj666/JyMggOzubyy67jLi4OO644w4uv/xyXnzxRa6//nqio6N54YUX\nACr1m4iMjKyzzb0+ar1NcDznvURE9jiWA5rAPS+nOAeZJi6Xj3p9xI/YfyHuuusuq0NVdWjSpIkm\ncC+zN/yc+dJQn332GXl5eaSlpbFt2zZnco6JiSEkJISDBw9WO+bgwYPOdtPWrVu7LOOurKwsYmNj\nK32hT0hIcHmHnZWVRVxcnHO9RYsWHnu8MSYmplqi27FjB+PHj6d9+/ZER0czdepU5+dTrlOnTs7X\ne/bsYfXq1cTGxjrvmj/66CMOHz4MwJo1axg1ahRnn3020dHRvPnmm9Xe70xFRESQl5dXaduJEyeq\nfUEBnLUnjz76KJGRkSQkJHD33XfzxRdfAHD77bfzm9/8huTkZPr168eoUaOqXXN+fr7zS4wn1JrE\nRaQM+MkYE++xM/oIY4xf/LHdv38/TbH3Tm3WrJnV4SgHm83GyZMnrQ5DWaD8jnjYsGFMnjyZhx9+\nGLAnyKFDhzJ//vxqx8ybN49LLrkEgEsuuYQlS5ZQVFTUoPN36NCB7OzsSv//9u7d63Lc/fbt27Nv\n36/TVxQWFnL8+PEGnbeq7t27IyKVvpDce++99O7dm507d5Kbm8szzzxTrdmy4t/duLg4kpOTyc7O\nJjs7m5ycHPLy8py1BTfffDPXXHMNBw4cIDc3l7vvvrvGZtB9+/YRGRlJVFRUpaV825w5c1we16dP\nn0rV2zt37qS0tJQePXpUK9uzZ0+aNm1a4/UYY5g2bRq//PILe/fupXfv3nTs2LHSzyYzM9Ozvfld\nNZRXXIBlQD7wLfB5+VLXcZ5e8PEOL2eC6VWuLSam0k3D3latpKSkxPtxBO5H7FHZ2dny6aefyvLl\ny60OJeD4+u951U5hR48elZYtW8rmzZtFRGTFihUSEREhr732muTn50t2drZMnTpVYmJi5OeffxYR\nkVOnTsmQIUNk7Nixsm3bNrHZbHLs2DF59tlnZfHixW6dd/jw4XL//fdLcXGxbNq0Sdq2bevsbFWx\nY1tGRoZERkbKypUrpaSkRB5++GEJCwursWObzWaT4uJi+eKLLyQhIUGKi4tr/dtz9dVXy5w5c5zr\nQ4YMkaeeekpE7B3WevbsKcOGDXPuN8bIzp07nev5+fnSuXNnmT17tpSWlkpJSYl8//33sm3bNhER\nadu2rcyaNUtERNasWSNnn312pU57npCRkSGtWrWSFStWSEFBgUycOFEmTpxYY/nJkyfL+PHjJT8/\nX/bt2ye9evWSd999V0TsfxvKry8jI0P69u0rb7/9dqXje/ToId9//32N71/T7wA1dGxzJ3mOcLXU\ndZynF1//5T4T1ZK4B661yvcAt5aYmDM+bUArKyuTDRs2yHvvvScZGRlis9msDing+PrveZcuXaol\nwPvuu09SUlKc6ytXrpTk5GSJiIiQVq1aybhx42Tr1q2VjsnLy5M//OEPEhcXJ5GRkdK9e3d5+OGH\nJTs7263zHjhwQMaNGyexsbHSvXt3+fe//+3c56p3enx8vLRp00aeffZZl9dQLjU1VYwxEhIS4lxG\njhxZ4+exaNEiGTt2rHN92bJl0qtXL4mMjJThw4fLtGnTKiXxkJCQSklcRGT79u1y5ZVXyllnnSVt\n2rSR0aNHy6ZNm0REZMGCBZKQkCBRUVEyfvx4uf/++z2exEVE5syZI/Hx8RIRESHXXnut5OTkOPfd\nc889cu+99zrX8/Ly5KabbpLIyEiJj4+Xp59+utK19OzZU1q2bCmdO3eWV155pdJ51q5dK4MGDao1\nlvomcXfGTn9eRB6ta5u3BfLY6dUmOPHAIOY6DrpnZWdnk5aWRtOmTRk+fLjL9jJ15nTsdP8zbNgw\nXn/9db8f8KUxpKSkcOedd3L55ZfXWMYbE6D8ICLnVtm2WUSS3I7cAzydxH1p7PSKSXz16tWcP3Qo\nRpO4T/n5558pLS2lV69eftGXwl9pElfBrr5JvMaObcaYe40xW4CeFZ4T32yM+QXY7NGoLVBeFeEr\nTp8+zR//+EeGDh3KG1YHo6rp3r07vXv31gSulPIpNd6JG2NaYR+d7TngTxV25YtI/ea49IBArk4/\n3tzwv6dgBvYH9/8eHs79VcZjri+9E1f+SO/EVbDz2FSkInICOAH8xqMRqmqDu7zoSODNmjVj8eLF\njBw50rrggtzx48fJzc2lW7duVoeilFJ1CtoxIa18Trzi4C6fJn3K/zi2z549WxO4RcrKyli3bh2L\nFi3CZrNZHY5SSrklaKe+8pUqu759+9INuOuvf+X666+3OpygdOzYMVJTU4mIiOC6666jZcuWVoek\nlFJuqbN3uq8IpDbx7HBDbPGv63nR0URmZ3u0ZkDbxN2zbds21q5dywUXXEBiYqJ2XLOYtomrYOfx\nR8x8RSAl8cbIsJrE3ZOXl0eTJk10YhkfoUlcBTuPPWIW6BqrTTz2+VjME6bSUucxsfYkfCZLTIzX\nLy0gREVFaQJXPi89PZ0ePXoQFRVV41Sc5Z544gluvfXWGvd36dKFpUuXeiy2iy++2KNTawaylJQU\nlixZ4tH3DNok3ljPibuaoazOY3LOfIam7EZ/CND36R2eOlOdO3emRYsWREVF0aFDB2677bZK00yC\nPeGOHj2aqKgoYmJiuPrqq8nMzKxUJj8/nwcffJCEhASioqJITEzkoYceIruGX9zHH3+cBx54gLy8\nPJfTcFbV0BuUl156iX79+hEVFUW3bt146aWXai2/cOFCoqKi/H60to8++ojOnTsTGRnJhAkTapwq\ntOokK5GRkYSEhPDyyy87y7z22mt07dqV6OhohgwZwsqVK537Hn30UaZOnerR2IM2iVvpW6j2S628\n5/Tp06xZs4bly5dbHYryc8YYFi1aRF5eHhs3bmTDhg0899xzzv2rVq1izJgxXHvttRw8eJBffvmF\npKQkLrroInbv3g1AaWkpo0aNIjMzk6+++oq8vDxWrVpFmzZtWLt2rcvz7tmzh3POOacxLpHZs2eT\nm5vL4sWLef3115k3b16NZWfMmFHrXX9tysrKGhqiR2VkZHDPPffw4YcfcvjwYcLDw7n33ntdlo2L\niyM/P5+8vDzy8vLYsmULoaGhpKSkAPapU//85z/z6aefkpuby+233861117rvIEYPHgw+fn5/PDD\nD567AFcDqvvigo9PjFCTqpOb2Gw26QICyOrVq10f45+X6pMOHTokc+fOlSVLlsjJkyetDkfVwdd/\nz6vOJvbII4/IuHHjnOvDhg2TKVOmVDtu7NixMnnyZBEReeutt6Rdu3ZSWFjo1jm7desmoaGhEh4e\nLpGRkVJSUiJZWVly1VVXSWxsrCQmJspbb73lLO9qApSEhARp06aNPPPMM9WuoTYPPPCAPPDAAy73\nlZSUSHh4uBw4cMC5be3atTJ06FCJjo6WDh06yJQpU6S0tNS53xgjb7zxhiQmJkrXrl1FxD7b2aWX\nXiqxsbHSq1cvmTdvnrP8okWLZODAgRIVFSXx8fEyffp0t+Kuj8cee0xuvvlm5/rOnTuladOmUlBQ\nUOex06dPl1GjRjnX586dK+eff75z/eTJkxISEiKHDh1ybrvrrrvkySefrPE9a/odoIYJUIL2Ttyq\n572kfRkAACAASURBVMQ3bdrEL0Dbtm0577zzGv38weL06dOsXr2ar776ikGDBnHppZdq27fyqP37\n97N48WISExMBKCoqIj093XlXVtENN9zA119/DcC3337L5ZdfTnh4uFvn+fnnn4mLi3PWAISFhXHj\njTcSHx/PoUOHmD9/Po899hipqanVjt26dSv33XcfH374IVlZWRw/fpwDBw64fY3Lly+nT58+Lvft\n2LGD0NBQOnTo4NwWGhrKK6+8QnZ2NqtWrWLp0qX885//rHTcZ599xtq1a9m6dSuFhYVcdtll3HLL\nLRw7doyPP/6Y3//+92zbtg2AiIgIZs+ezYkTJ1i0aBEzZsyosU/Avn37iImJITY2lpiYmEqvY2Nj\n+fjjj10el5GRUak5oGvXrjRr1ozt27fX+fnMnj2b3/72t871sWPHUlZWxtq1a7HZbLzzzjsMGDCA\ntm3bOsv07t3bo30I9DnxRrZgwQIADh++hiZNQl2W0U5pZ27Lli0UFBSQkpLi9h9L5R/c6RzqDnf6\np7hyzTXXAFBQUMDo0aOZPn06YJ/pzmaz0b59+2rHtG/fnmPHjgH2UQEb8gW+/G/W/v37WbVqFV9+\n+SVhYWH079+fO++8k1mzZpGcnFzpmAULFjB+/HguuugiAJ566ilef/11t843bdo0RITbbrvN5f7c\n3Nxqs/mde+6vc2XFx8fzu9/9jrS0NB544AHn9scee4zo6GgA5s2bR5cuXZg0aRIA/fv3Z8KECcyf\nP5+//OUvDB8+3Hlc3759uemmm0hLS3PZLyAuLo6cnJxq2+tSUFBAq1atKm2LiooiPz+/1uOWL1/O\nkSNHuO6665zbytvUL774YgCio6NZvHhxpeMiIyNrbHNviKBN4lYpT+JffXUdl15qcTABrH///oSE\nBG1FU0BraPL1lM8++4yRI0eyfPlyJk6cyLFjx5yd2EJCQjh48CA9evSodMzBgwdp06YNAK1bt+bg\nwYMNPn9WVhaxsbGVapYSEhJYv369y7JxcXHO9RYtWtC6des6z/H666/zwQcfsGLFCsLCwlyWiYmJ\nqZboduzYwUMPPcS6desoKiri9OnTDBo0qFKZTp06OV/v2bOH1atXExsbC9i/qJSVlTmTenkb848/\n/khJSQklJSUeHxQrIiKCvLy8SttOnDhR53TDs2bN4rrrrqv0c3j77bd59913yczMpFu3bixZsoQr\nr7ySjRs30q5dO8DeqbH8S4wn6F+5RpSZmUlmZiYxUO0bs/IsTeDKW8rviIcNG8bkyZN5+OGHAXuC\nHDp0KPPnz692zLx587jkkksAuOSSS1iyZAlFRUUNOn+HDh3Izs7m5MmTzm179+6lY8eO1cq2b9+e\nffv2OdcLCws5fvx4re8/c+ZMXnjhBZYuXeqyVqFc9+7dEZFKX0juvfdeevfuzc6dO8nNzeWZZ56p\nVutZsRkzLi6O5ORksrOzyc7OJicnh7y8PGdtwc0338w111zDgQMHyM3N5e67766xFrVqz/GKPcij\noqKYM2eOy+P69OlTqXp7586dlJaWVvsiVlFxcTHz58+vVJUO9ubS8ePHO+deGDNmDO3btyc9Pd1Z\nJjMz07O9+V01lPvigoc7vODoXOZtFTu2HThwQB5//HGZ5uOdd/xJaWmp5OTkWB2G8pDG+J08E1U7\nhR09elRatmwpmzdvFhGRFStWSEREhLz22muSn58v2dnZMnXqVImJiZGff/5ZREROnTolQ4YMkbFj\nx8q2bdvEZrPJsWPH5Nlnn5XFixe7dd7hw4fL/fffL8XFxbJp0yZp27atLF26VEQqd2zLyMiQyMhI\nWblypZSUlMjDDz8sYWFhNXZs++CDD6Rdu3aybds2tz6Pq6++WubMmeNcHzJkiDz11FMiYu+w1rNn\nTxk2bJhzvzFGdu7c6VzPz8+Xzp07y+zZs6W0tFRKSkrk+++/d56/bdu2MmvWLBERWbNmjZx99tmV\nOu15QkZGhrRq1UpWrFghBQUFMnHiRJk4cWKtx3z44YfSpUuXatvff/996dmzp+zatUtERL766itp\n2bKl/PTTT84yPXr0kO+//77G967pd4AaOrZZnpzdXXz9l7smVXun2zf657X4mqysLJkzZ06NvfyV\n//H13/MuXbpUS4D33XefpKSkONdXrlwpycnJEhERIf+/vfuOj6pKHz/+OQkBCckkmYQWSIOAhipN\n6YSA1LCAQcRCc7GAqFhWdrEAy/enyOqqwGJZWSQU/dIWpC3wRUJHcJEWOkpJQk8nQMo8vz9mcs0k\nk5BAKjnv1+u+mHvvufc+c8PMc++5Z87x8PCQ8PBwOXr0qN02ycnJ8vrrr4ufn5+4u7tLcHCwvPnm\nmxIfH1+o48bGxkp4eLiYzWYJDg6Wr7/+2ljnqHW6v7+/+Pj4yAcffODwPeQ8TtWqVcXd3V3c3NzE\n3d1dxo4dm+/5WLt2rfTt29eY37Ztmzz00EPi7u4uXbt2lcmTJ9slcScnJ7skLiJy8uRJ6d+/v9Ss\nWVN8fHykR48ecvDgQRERWb58uQQEBIjJZJIBAwbIK6+8UuxJXETku+++E39/f3Fzc5PBgwfb3Ri8\n9NJLec5B7969ZfLkyQ73NXnyZPH39xeTySRNmjSRRYsWGev27t0rbdq0KTCWoiZx3e1qCVNTVd5n\neLpP1HuSkZHB3r17+e233+jcuTOBgYFlHZJWTHS3qxVPly5dmD17doXv8KU0DBkyhDFjxtCnT598\ny+i+08sZncSL18WLF4mKiqJOnTp06NCBBx54oKxD0oqRTuJaZVfUJF5pW6dnN67QXxgVS2ZmJh07\ndiQgIKCsQ9E0TStzlTaJ6+RdMeX8uYymaVplp3+HUwq2bdtGixYt+OSTT8o6FE3TNO0+opN4Kdi8\neTOHDx+2+72mVrCYmBiio6PLOgxN07RyrdIm8dLsO33z5s0AhIWFlcrxKrL09HS2bdvG1q1bMZlM\nZR2OpmlauaZbp5cwNUlR5W9VsFgsXL9+3drdnm6d7lBMTAzbtm2jfv36tG/fnqpVq5Z1SFop063T\ntcpO/8SsnFlaVTE0A9oB2SMFx+OFWeLLMqxy58iRIxw6dIiuXbva9a2sVS46iWuVXVGTeKWtTi8t\nJzOs/+5jIgpBIQR76QSeW4MGDRgyZIhO4JrmwK5du2jcuDEmkynfoTizTZ06leHDh+e7PigoiB9/\n/LHYYuvcuXOxDq15PxsyZAgbNmwo1n1W2iReWs/E3wHOnj1LTMwrWPtbhXidw/NwdXXV1edauRcY\nGIirqysmkwlfX19Gjx5NWlqaXZldu3bRo0cPY2SzgQMHcuzYMbsyKSkpTJgwgYCAAEwmE40aNeKN\nN94gPp8vh/fff59XX32V5ORkh8Nw5na3322fffYZDRs2xMPDg/r16/Pmm29isVjyLb9mzRpMJlOF\n761t8eLFBAYGGkOJ5jdUaO5BVtzd3XFycuLTTz81yly7do1nnnkGT09PvL297S6oJk6cyDvvvFOs\nsVfaJJ7d72xpCAgIcDjCUGWVlZVV1iFo2l1RSrF27VqSk5M5cOAAv/zyCx9++KGxfvfu3fTu3ZvB\ngwdz8eJFfvvtN1q0aEGnTp04e/YsYO02OCwsjGPHjrFx40aSk5PZvXs3Pj4+7N271+Fxz507R5Mm\nTUr8/Q0cOJCff/6ZpKQkjhw5woEDB5g5c2a+5b/88ssC7/oLUl6+B6Kjo3nppZdYtGgRly9fpnr1\n6owdO9ZhWT8/P1JSUkhOTiY5OZnDhw/j7OzMkCFDjDKPP/44vr6+xMTEcOXKFd566y1jXbt27UhJ\nSWH//v3FFn+lTeJa6bt9+zZRUVFs3769rEPRtLuWffFfq1YtevfuzYEDB4x1EydOZNSoUYwfP54a\nNWrg6enJtGnTaN++PVOmTAFg/vz5xMTEsHLlSh588EEAfHx8mDRpksM+tYODg/ntt98IDw/HZDKR\nkZHBxYsXGThwIN7e3jRu3Jhvvvkm33gXLFhAYGAgNWvW5IMPPijwvQUFBeHl5QVYk6yTkxOnT592\nWDYjI4Mff/yRbt26Gcv27dtHx44d8fLyol69erzyyitkZmYa652cnJgzZw6NGzc2hvo8fvw4vXr1\nwtvbm5CQELuhXNetW0fr1q3x8PAgICCAqVOnFhj/3Vi8eDF/+MMf6NSpE66urkybNo0VK1bYDfWa\nn/nz59O1a1ejE6pNmzYRExPDjBkzcHNzw9nZOU8tRbdu3Vi7dm2xxa+TuFYqzp07x7Jly3BxcaFT\np05lHY6m3bOYmBjWr19Po0aNALh58ya7du2yuyvLNnToUDZt2gRYf3Lap08fqlevXqjjnD59Gj8/\nP6MGwMXFhSeffBJ/f38uXbrE0qVLmTRpElFRUXm2PXr0KOPGjWPRokXExcVx/fp1YmNjCzzed999\nh4eHBzVr1uTQoUO8+OKLDsudOnUKZ2dnfH19jWXOzs589tlnxMfHs3v3bn788UfmzJljt92qVavY\nu3cvR48eJS0tjV69evHss89y7do1vv/+e15++WWOHz8OgJubGwsWLCApKYm1a9fy5Zdf5tsm4MKF\nC3h5eWE2m/Hy8rJ7bTab+f777x1uFx0dbZdoGzRoQLVq1Th58mSB5wmsF0g5xxTfs2cPjRs3ZsSI\nEfj4+PDoo4+ybds2u21CQkKKtQ1BpU3ixfVM3Gy2/mLMmP5sRk1VxlTZ3bp1iy1btrB79266d+9O\np06dcHFxKeuwtIrM7gN3D9NdGjRoECaTCX9/f2rXrm3cYcfHx2OxWKhbt26eberWrcu1a9cAuH79\nusMyd5JdAxATE8Pu3bv56KOPcHFxoWXLlowZM4bIyMg82yxfvpwBAwYYn7tp06bd8XvvqaeeIikp\niVOnTvHSSy9Ru3Zth+USExNxd3e3W9a6dWseeeQRlFL4+/vzwgsvsHXrVrsykyZNwtPTk2rVqrFm\nzRqCgoIYMWIESilatmzJ448/btyNd+3alaZNmwLQrFkzhg0blmd/2fz8/EhISCA+Pp6EhAS71/Hx\n8QwbNszhdqmpqXh4eNgtM5lMpKSkFHietm/fzpUrV4iIiDCWxcTEsGnTJnr06MHly5d54403GDhw\noF1bB3d393yfud+NSpvEi+uZeEICRoM1EaB6AjJZSHgtgX3991E+nvqUnZMnT1KtWjUiIiLsrtg1\n7a7l/MDdy3SXVq1aRXJyMlu3buX48eNGcvby8sLJyYmLFy/m2ebixYv4+PgA4O3t7bBMYcXFxWE2\nm3F1dTWWBQQEOLzDjouLsxtvwNXVFW9v70Idp2HDhjRp0iTf58NeXl55Et2pU6cYMGAAdevWxdPT\nk3feecc4P9ly/gLl3Llz7NmzB7PZbNw1L168mMuXLwPw008/ERYWRq1atfD09OSrr77Ks7975ebm\nRnJyst2ypKSkPBcouUVGRhIREWH3d6hevTqBgYGMGjUKZ2dnnnzySfz8/Ni5c6dRJiUlxdpfSDGp\ntEm8pK1bt4527drxRFkHUsZatGhBx44d9d23dt/Ivvjv0qULI0eO5M033wSsCbJDhw52z3SzLVmy\nhJ49ewLQs2dPNmzYwM2bN+/q+L6+vsTHx9s9sz1//rzDxrN169a16+45LS2N69evF/pYGRkZ/Prr\nrw7XBQcHIyJ2FyRjx44lJCSEM2fOkJiYyP/7f/8vz81SzpoAPz8/QkNDiY+PN+6ak5OTmT17NgDP\nPPMMgwYNIjY2lsTERF588cV8b75ytxzP2YLcZDLx3XffOdyuadOmdtXbZ86cISMjw3hm78itW7dY\nunSpXVU6WL/vctd05J4/duxYsbbmL/EkrpTqo5Q6rpQ6qZSa6GD900qpg7Zph1KqeUnHVBqyn9u0\nL+M4NE0rORMmTGDTpk0cPnwYgOnTpzN//nxmz55NamoqCQkJvPvuu+zZs4f3338fgOHDh+Pn50dE\nRAQnTpxARLh+/Toffvgh//nPf+54zPr169OxY0f+8pe/cPv2bQ4dOsTcuXMdthIfMmQIa9asYdeu\nXWRkZPD+++8XWAM5d+5crl69Clifp0+fPt24+MjNxcWFnj172lVvp6SkYDKZcHV15fjx43zxxRcF\nvpfw8HBOnjzJwoULyczMJCMjg59//pkTJ04A1qpuLy8vXFxc2Lt3L4sXL853X7lbjmdP2cueeuop\nh9s988wzrF69mp07d3Ljxg3ef/99IiIiqFGjRr7HWrFiBWaz2a5RH8DgwYNJSEhgwYIFWCwWli1b\nRmxsrF07oK1bt9K3b98Cz0uRZFcrl8SE9SLhNBAAuAAHgIdylWkPeNhe9wH25LMvKU6AFMc+c++C\nKcicOXMEkCpVqsixYo67vEpLS5NLly6VdRhaBVfcn/PiFhQUJJs3b7ZbNm7cOBkyZIgxv3PnTgkN\nDRU3Nzfx8PCQ8PBwOXr0qN02ycnJ8vrrr4ufn5+4u7tLcHCwvPnmmxIfH1+o48bGxkp4eLiYzWYJ\nDg6Wr7/+2lg3ZcoUGT58uDEfGRkp/v7+4uPjIx988IHD95Bt9OjRUrt2bXFzc5OgoCCZOHGi3L59\nO9/zsXbtWunbt68xv23bNnnooYfE3d1dunbtKpMnT5YuXboY652cnOTMmTN2+zh58qT0799fatas\nKT4+PtKjRw85ePCgiIgsX75cAgICxGQyyYABA+SVV16xe2/F5bvvvhN/f39xc3OTwYMHS0JCgrHu\npZdekrFjx9qV7927t0yePNnhvnbs2CHNmzcXd3d3adeunezcudNYt3fvXmnTpk2BseT3GbAtz5Mb\nS7TbVaVUe2CyiPS1zf/ZFshH+ZT3BA6LSJ5Bo8trt6u5u0FXzyqcvnPCYrEwb948Ro0efd/3k/7r\nr7+yc+dOmjVrRqtWrco6HK0C092uVjxdunRh9uzZFb7Dl9IwZMgQxowZ4/CnhNmK2u1qleINMY96\nQM7xN2OARwooPwZYX6IRlbRTYLFYePfdd63PS0aPLuuISszNmzfZuXMn8fHx9OrVK99WrJqm3b90\nvw+Ft2zZsmLfZ0kn8UJTSnUHRgOd8yuT/VMOgNDQUEJDQ0s8riLrCyv+vIJBgwaVdSQl6vz582zd\nupXGjRsTGhpKlSrl5r+SpmlahRcVFeXwt/+5lUZ1+hQR6WObd1idrpRqASwH+ojImXz2VazV6dkt\nBu91n3mq06cqZLLkX+A+cfnyZZRS1KpVq6xD0e4jujpdq+zKW3X6PiBYKRUAXASGAXZNBJVS/lgT\n+PD8EnhJuJsvCrPZ+rvwnKydu/y+0OsBr3sNrULQVeeapmllr0STuIhkKaXGAxuxtlSfKyLHlFIv\nWlfL18B7gBmYo6y3xxkiUtBz8zKT3bFLTmpqgv2dt6ZpmqaVkhKtTi9O5aF1eu6acYvFgnNHZ47O\nO0pISEjhNqpARITTp0+TnJxMmzZtyjocrRLQ1elaZVfU6vRK22NbcfSd/tVXX8FP0KdPHzIyMoop\nsvLhxo0bbNiwgYMHDxIQEFDW4WiapmkO6DvxIsXw+031+fPnadq0KampqSxduvT3kYtyPzj38oIc\nnd+XdyLCqVOn2LNnD02aNKFVq1Y4OzuXdVhaJaHvxLXKTt+Jl5Lx48eTmpoKIdgPPZh7RJQKlMAB\nDh06xOHDh+nXrx9t27bVCVzTStHUqVMddp96v2vWrFmeITu1wtE/7r0L58+fZ/Xq1bi6upLWL62s\nwylWISEhNGvWTCdvTSsjxTFEckVz5MiRsg6hwqq0d+L38kz88OHD1KhRg/79+0PBo9VVOFWrVtUJ\nXNMKISursg80rJUHlTaJZ3cefzf69+/P1atX+eyzz4o5qtIjIty6dausw9C0CiUoKIgZM2bQsmVL\n3NzcsFgsfPTRRwQHB2MymWjWrBkrV640ys+fP58uXbrwpz/9CbPZTMOGDe1GKjt79iyhoaF4eHjQ\nu3fvPGNl//DDDzRr1gyz2UxYWBjHjx+3i+Xjjz+mZcuWuLu78/zzz3PlyhX69euHyWSiV69eJCUl\n5fteZsyYga+vL/Xr12fu3Lk4OTkZw452796df/3rX3neR7bjx4/Tq1cvvL29CQkJsRt+dd26dTRt\n2hSTyYSfnx9///vfAbh+/ToDBgzAy8sLb29vuxHAgoKC+PHHHwHrI4Unn3ySkSNHYjKZaN68Ofv3\n7zfK7t+/n9atW+Ph4cHQoUMZNmyYMUJcpeRoVJTyOFEORje6jlfOp92OJy+vsg7zjlJSUmTt2rUS\nFRVV1qFomp3y8DkvSGBgoLRq1UpiY2Pl1q1bIiKybNkyYwS/JUuWSI0aNYz5b7/9VqpWrSpz584V\ni8UiX3zxhfj6+hr769Chg7z11luSnp4u27ZtE3d3d2OUrhMnTkiNGjVk8+bNkpmZKTNmzJDg4GDJ\nyMgwYunQoYNcvXpV4uLipFatWtKmTRs5ePCg3L59W8LCwuSvf/2rw/exfv16qVu3rhw7dkxu3rwp\nzz77rN0IY6GhoTJ37lyj/LfffmuMRnbjxg3x8/OT+fPni8VikQMHDoiPj48cO3ZMRETq1q1rjNyV\nmJgov/zyi4iI/OUvf5GxY8dKVlaWZGZmyo4dO+zOa/bIalOmTJHq1avLf/7zH7FYLPKXv/xF2rdv\nLyIi6enpEhAQILNmzZLMzExZsWKFVK1aVd577727+4OWQ/l9BshnFDP9TLwA5o/MJNz6vaW5AGqK\nfRmvB7yIn1gxGq+JCMePH2ffvn00b95cjzqkVUg///yz3Z1ZttatW9O2bdtClc+vbGG89tpr+Pr6\nGvMRERHG6yeeeIIPPviAvXv3MmDAAAACAgJ47rnnABg5ciTjxo3jypUr3L59m59//pnNmzfj4uJC\nly5djG0AlixZQnh4OGFhYQC89dZbfP755+zatYuuXbsC8Morr+Dj4wNYRxOrXbs2LVq0AKxjW2ff\n3ea2dOlSRo8ezUMPPQRYx6VYtGhRod7/mjVrCAoKYsSIEQC0bNmSiIgIli5dynvvvUfVqlWJjo6m\nefPmeHh48PDDDwPW8ccvXrzIb7/9RsOGDe3G2M6tc+fO9O7dG7COv/75558DsHv3brKyshg/frzx\nHh95pFz2DVZqKm0SL0zf6Qm3cvXGNkVV2N7ZUlJS2LZtG+np6YSHh2M2m8s6JE27K23bti1SAi5q\n+TupX7++3XxkZCSffvopZ8+eBax9LOSsFq9Tp47xunr16gCkpqZy9epVvLy8jGVgTfgxMTEAxMXF\n2fXRoJTCz8+P2NhYY1nO7o+rV6+eZz41NdXhe4iLi6Ndu3bGvJ9fntGf83Xu3Dn27NljfIeICFlZ\nWUZSX758OdOmTWPixIm0bNmSDz/8kPbt2/P2228zefJkevXqhVKK559/nokTJzo8Rs5z5urqyq1b\nt7BYLFy8eJF69erZlS1K7PejSpvEC0re96PY2Fjq1atHixYtcHKqtE0hNO2e5WwQe/78eV544QW2\nbNlChw4dAGjVqlWhvl/q1q1LQkICN2/eNBL5+fPnjc+nr69vnlbbFy5cyHMRcTfq1q1rXCxkHzen\nGjVqkJb2+y9vLl26ZLz28/MjNDSUDRs2ONx3mzZtWLlyJVlZWcyaNYuhQ4dy/vx5atSowccff8zH\nH3/M0aNH6d69O4888gjdu3cvUtw5L2LAek6Cg4MLvY/7jf42L4L/AxYuXFhgY5Hy6qGHHuLhhx/W\nCVzTitGNGzdwcnLCx8cHi8XCvHnzCv1zKX9/f9q2bcvkyZPJyMhgx44drF692lg/dOhQ1q5dy5Yt\nW8jMzOTjjz/mgQceMC4W7sXQoUOZN28ex48fJy0tjf/5n/+xuzh5+OGHWbFiBTdv3uT06dPMnTvX\nWBceHs7JkydZuHAhmZmZZGRk8PPPP3P8+HEyMjJYvHgxycnJODs74+7ubvzaZe3atZw5Yx3jyt3d\nnSpVqhT6lzDZF0UdOnTA2dmZf/zjH2RlZbFq1Sr27t17z+ejItPf6DmZzdZu2WyTTMFufjpVGD58\nuF1LTE3TKo/cP0sNCQnhzTffpH379tSpU4fo6Gg6d+5c6H0sWrSIPXv24O3tzbRp0xg5cqSxrnHj\nxixcuJDx48dTs2ZN1q5dy+rVq6lSpYrDWIryk9k+ffrw6quv0r17dxo3bmxcGFSrVg2A119/HRcX\nF+rUqcPo0aN59tlnjW3d3NzYuHEj33//Pb6+vvj6+vLnP/+Z9PR0ABYsWEBQUBCenp58/fXXLF68\nGIBTp07Rs2dP3N3d6dSpEy+//LLxbP9OsWevd3FxYcWKFXzzzTd4eXmxePFiBgwYYMRdGVXablcd\nPhPPNVhJzrHBExMT8fKqhZNTFpcuXaJmzZrFFktxSk5OJjExEX9//7IORdOKTHe7WjaOHz9O8+bN\nuX37doWrrWvfvj1jx461uwCqyHS3q4WU3Ty/sKzVXBl069atXCZwEeHIkSP8+9//zrcxi6ZpWraV\nK1eSnp5OQkICEydO5A9/+EOFSODbtm3j8uXLZGVlMX/+fA4fPkyfPn3KOqwyU2kbthXV8uXLAfuf\nk5QXSUlJbN26FRFh4MCBeHp6lnVImqaVc1999RWjRo2iSpUqhIaG8o9//KOsQyqUEydOMHToUNLS\n0mjQoAHLly+3a5Vf2VTa6vR8DuKwOj0tLY3atWuTmppKbGys3W9Ey9rp06fZuXMnrVu3pmnTphXi\nSlrT8qOr07XKTlenF1JR+k53dXW1VaePLVcJHMBsNjNo0CCaN2+uE7imaVolo+/E7Q+Sb8M2B6s1\nTStm+k5cq+z0nbimaZqmVRI6iVcAFouFgwcPsmvXrrIORdM0TStHKm3r9IL6Tr9+/bq1a7/M0o4q\nr4SEBLZu3UqVKlWMjhE0TdM0DfQz8dwHsY5S9guwClxauJB+MD3n6lJ7Jm6xWDh06BCHDh2ibdu2\nhISEFKlHJk2riPQz8Ypn0qRJ1KlTh1dffbWsQyn3Zs+eTUxMDNOnT8+3jH4mfo9ksjAhaAIApUAM\neQAAHK5JREFUU56cUmZxHDx4kNjYWAYPHkyTJk10Atc0LV+hoaFUr14dk8lErVq1iIiI4PLly3Zl\njh49avQj4eHhQY8ePdi9e7ddmYyMDKZMmULjxo1xd3enQYMGjBkzJs8AKdmuXbvGggULePHFF0vs\nvZWGAwcO0LZtW2rUqEG7du04ePBgvmWbNWuGyWQyJhcXFwYOHGisd3Jywt3dHXd3d0wmEy+88IKx\n7vnnn2fRokV2o9zdK53EHcj+A5bleNstWrSgX79+uLu7l1kMmqZVDEop5syZQ3JyMqdPnyY1NZW3\n3nrLWH/mzBk6d+5My5YtOXv2LHFxcQwaNIhevXrx008/GeUiIiJYs2YN33//PUlJSRw8eJC2bduy\nefNmh8f99ttv6dev3133XV4eal0yMjIYNGgQI0aMIDExkREjRjBw4EAyMx0/Tz1y5AjJycnG5Ofn\nx9ChQ431SikOHTpESkoKycnJfP3118a6atWq0a9fPyIjI4vvDWR3P1reJ2uoxQeQPPsEsVgsYjab\nBZALFy7kXq1pWgkq7s95cQsMDJS//e1v0qJFC3Fzc5MxY8bI5cuXpW/fvuLu7i6PPfaYJCYmGuV3\n794tHTt2FE9PT3n44YclKirKWDdv3jwJCQkRd3d3adiwoXz11VfGuqioKKlfv7588sknUqtWLfH1\n9ZV58+blG1doaKjMnTvXmJ8zZ440a9bMmH/22Welf//+ebYbO3asdOvWTURENm3aJK6urhIbG1vo\n8xEWFiaLFi0y5hMSEiQ8PFxq1qwpZrNZwsPDJSYmxi7Od955Rzp16iSurq5y5swZSUpKkueee07q\n1q0r9evXl3fffVcsFouIiJw5c0bCwsLE29tbatasKc8884wkJSUVOr7C2Lhxo9SvX99umb+/v2zY\nsOGO20ZFRYnJZJK0tDRjmVJKTp8+ne82ixYtkrCwsHzX5/cZsC3Pkxsr7Z24/H5xYCcmJob4+HjM\nZnOewedLgsVi0X2da1oRZHfUlHsqSvl7sWLFCjZv3szJkyf54Ycf6NevH9OnT+fatWtkZWUxc+ZM\nAGJjYwkPD+f9998nISGBjz/+mIiICK5fvw5A7dq1WbduHcnJycybN4/XX3+dAwcOGMe5dOkSKSkp\nxMXF8c033/Dyyy8Xahjk69evs2LFCho1amQs+7//+z+eeOKJPGWHDh3Kzp07uX37Nps3b+aRRx4p\nUodWhw8f5sEHHzTmLRYLzz33HBcuXOD8+fO4uroyfvx4u20WLlzIN998Q0pKCv7+/owcOZJq1arx\n66+/8ssvv7Bp0ya++eYbwPo9PWnSJC5dusSxY8eIiYlhypQp+cbTsmVLzGYzZrMZLy8vu39zx5Et\nOjqaFi1a5NlPdHT0Hd9/ZGQkERERxnjw2bp164avry9Dhgzh3LlzdutCQkIKrK4vMkeZvTxOlMYV\nOsjRo0clLCxMIiIiHK0uVteuXZNly5bJjh07infHmlZBFeZzjq0WLfdUlPJ3KzAwUBYvXmzMR0RE\nyLhx44z5WbNmyeDBg0VE5KOPPpIRI0bYbd+7d2+JjIx0uO9BgwbJzJkzRcR6h+fq6ipZWVnG+lq1\naslPP/3kcNvQ0FCpUaOGeHp6ilJKWrVqZVeTWKVKFYd3lsePHxcnJyeJi4uT559/Xp566qk7nQI7\nLi4ucuLEiXzX//LLL2I2m+3inDx5sjF/+fJlqVatmty6dctY9t1330n37t0d7m/lypXSunXrIsV4\nJ9OmTcvzvp955hmZOnVqgdulpaWJyWSSbdu22S3fvn27ZGRkSFJSkowfP16aNWtm93c8deqUVKlS\nJd/95vf/k3zuxCvtT8zyExISku/zn+KSlZXFgQMHiI6O5tFHH6Vx48YlejxNu59IEZ+jFrX8neQc\nbKN69ep55rNr1s6dO8eSJUtsXTZb48jMzCQsLAyA9evX89e//pWTJ09isVi4efOm3R2ht7e3XVfK\nrq6uBdbazZw5k+eee47o6GjCw8OJiYmhfv36APj4+HDx4sU828TFxeHk5ISXlxfe3t6cOnWqSOfC\ny8uLlJQUY/7mzZtMmDCBDRs2kJiYiIiQmpqKiBg1IH5+fkb5c+fOkZGRQd26dY1zJCLGUMpXrlzh\ntddeY/v27aSmppKVlYXZbC5SjHfi5uZGcnKy3bKkpKQ7tkdavnw53t7edOnSxW559njyJpOJzz//\nHA8PD44dO0bTpk0BSElJwcPDo9jir7TV6cVRrXY3rl27xsqVK7l69SoRERE8+OCDuuW5pt2H/Pz8\nGDFiBPHx8cTHx5OQkEBKSgpvv/026enpDBkyhLfffpurV6+SkJBA3759i+WCo2nTprzzzjuMGzfO\nWNazZ0+WLl2ap+ySJUvo0KEDDzzwAD179mTv3r3ExcUV+lgtWrTg5MmTxvwnn3zCqVOn2LdvH4mJ\niWzbtg2wv5DK+X3n5+fHAw88wPXr141zlJiYyKFDhwDrz9ecnJyIjo4mMTGRhQsXFniOcrccN5lM\nRivxnOcjp6ZNmxrHy3bo0CEj6eYnMjKSESNGFFgmO9acMR87dqxYG01X2iQuv1fTl6qUlBSaN29O\n7969qVGjRqkfX9O00vHss8+yevVqNm7ciMVi4datW2zdupW4uDjS09NJT0/Hx8cHJycn1q9fz8aN\nG4vt2CNHjuTKlStGLcDkyZPZtWsX7733HgkJCaSmpjJr1iwWLlzIjBkzAOjRowePPfYYgwcPZv/+\n/WRlZZGamspXX33Ft99+6/A4/fr1IyoqyphPSUkxfuoWHx9f4PNrgDp16tCrVy9ef/11UlJSEBF+\n/fVXI/mnpKTg5uaGu7s7sbGx/O1vfytwf7lbjicnJxutxOfMmeNwm9DQUJydnZk1axbp6enMnDkT\nJycno8bEkZiYGLZs2cLIkSPtlh89epSDBw8abZ3eeOMN6tevT0hIiFFm69at9O3bt8D3URSVNonn\nR6n8Jy+ve99/UFAQjRs31nffmlYB5f7cFvQ5rl+/PqtWreKDDz6gZs2aBAQE8PHHH2OxWHBzc2Pm\nzJk88cQTmM1mvv/+e7vfGhfm2AWtc3Fx4dVXX2XatGkABAcHs2PHDg4cOEBgYCC+vr78+9//ZuPG\njbRv397YbtmyZfTr148nn3wST09Pmjdvzn//+1969uzp8LgjRoxg/fr13L59G4AJEyaQlpaGj48P\nHTt2pF+/fnd8D5GRkaSnp9OkSRPMZjNPPPEEly5dAqwXH//973/x9PRkwIABREREFHiO7oaLiwsr\nV65k/vz5eHl5ERkZyapVq6hSxfq0efHixTRv3txum4ULF9KpUyeCgoLsll++fJknn3wSDw8PgoOD\nuXDhAmvWrMHZ2RmAW7dusW7dujzJ/17oHtvsD6KHKdO0MqR7bKt43n33XWrVqqV7bCuEkuixrdIm\ncUd9p/+kFL8uXkznzp3tGl/cjStXrpCUlGT3Mw9N0wqmk7hW2eluVwvJ0TPx+cDTTz/NkiVL7nq/\nmZmZ7N27lw0bNti1LNU0TdO04qZ/YpZDdjcLd9ty8MqVK0RFReHp6UlERASurq7FF5ymaZqm5VKp\nk7jZDAkJ2XMWstuK300SP3bsGD///DMdO3akQYMGuuGapmmaVuL0M3HbPk+fPk2jRo3w9fW1jiVe\nRKmpqTg7O+fpfk/TtMLTz8S1yq6oz8Qr7Z24tQeh3+fvdeQyNze34ghL0zRN0wqt0ibx3AIDA3kF\naD548B3LWiwW3WhN0zRNK3OVtjrdus9cPwu/w+/Es1ueZ2Rk0K1bt2KNRdM0XZ2uafonZoVkfSZe\n+MZnFy9eZNmyZdy6dYtHH3205ALTNK3SOHnyJK1atcLDw4PZs2eXdThF8u9//xt/f39MJlPxDq2p\nFYm+E7/DnXhGRgZ79+7lt99+o3PnzgQGBhZrDJqm/a6y3YmPGTMGDw8PPvnkk3vaT/fu3Rk+fDjP\nPfdcMUV2Z8HBwXz22WeEh4eX2jErA30nXsyio6O5ffs2Q4YM0Qlc07RikZWVBViH4rzTaFnlTc7Y\nmzRpclf7sFgsxRlSpVbpk/itW7eIj4/Pd33Lli0JCwvjgQceKMWoNE0rj4KCgpg+fTpNmzbF29ub\nP/7xj6Snpxvr16xZQ6tWrfDy8qJz584cPnzYbtsZM2bQsmVL3Nzc6NmzJ1u2bOHll1/GZDJx+vRp\n0tPTeeuttwgICKBu3bqMGzfOGFwEYNWqVUb1e6NGjdi4cSPvvvsu27dvZ/z48ZhMJod9mJ87dw4n\nJyf++c9/Uq9ePerVq2d39y8iTJ8+neDgYGrWrMmwYcNITEy02/Zf//oXAQEBdO3aFXd3dywWCy1a\ntDC6lj527Bjdu3fHy8uL5s2bGyOoAYwePZpx48bRv39/3N3diYqKYvTo0bz88sv069cPd3d3unTp\nwuXLl3n99dcxm800adLErpr+o48+Ijg4GJPJRLNmzVi5cqWxbv78+XTp0oU//elPmM1mGjZsyH/+\n8x9jfUJCAs899xz16tXD29ubxx9/vFB/swohu/vR8j5ZQy0+gAAyCaQ2yHqQ6w8U7zE0TSuawnzO\nc5e51/miCAwMlObNm0tsbKwkJCRIp06d5L333hMRkf3790utWrVk3759YrFYJDIyUgIDAyU9Pd3Y\ntlWrVhIbGyu3bt0SEZHQ0FCZO3eusf8JEybIwIEDJTExUVJTU+UPf/iDTJo0SUREfvrpJ/Hw8JDN\nmzeLiEhcXJycOHHC4X5yO3v2rCil5Omnn5abN2/K4cOHpWbNmsa+PvvsM+nQoYPExcVJenq6vPTS\nS/LUU0/ZbTty5EhJS0szYldKya+//ioiIhkZGRIcHCzTp0+XjIwM+fHHH8Xd3V1OnjwpIiKjRo0S\nT09P2b17t4iI3Lp1S0aNGiU1a9aUX375RW7fvi1hYWESFBQkCxcuFIvFIu+++650797deA/Lli2T\nS5cuiYjIkiVLpEaNGsb8t99+K1WrVpW5c+eKxWKRL774Qnx9fY1t+/XrJ8OGDZOkpCTJzMyUbdu2\nFepvVhby+/9pW543NzpaWJwT0Ac4DpwEJuZTZiZwCmvPpw/nU6aYTlHOk/KLODs7i1JKtmzZIr7/\n43vnjTRNKzEVIYl//fXXxvy6deskODhYRETGjh0r77//vl35Bx980EgYgYGB8u2339qtz518a9So\nYSRGEZFdu3ZJUFCQiIi8+OKL8sYbbziMq7BJPDupioi8/fbbMmbMGBERCQkJkR9//NFYFxcXJy4u\nLpKVlSVnz54VJycnOXv2rN0+lVJy5swZERHZvn271K1b1279U089JVOnThURaxIfOXKk3fpRo0bJ\nCy+8YMzPmjVLmjRpYswfPnxYvLy88n1PDz/8sPzwww8iYk3ijRo1MtalpaWJUkouX74sFy9eFGdn\nZ0lKSsqzjzv9zcpCUZN4if5OXCnlBMwGegBxwD6l1CoROZ6jTF+goYg0Uko9CnwJtHe4w2KUmZlJ\n69Z/ZP/+LEaPHk1cXBztqrcr6cNqmnaPJFejn3udL6r69esbrwMCAoiLiwOs1c6RkZHMmjXLOE5G\nRoaxPve2uV29epW0tDTatGljLLNYLEa8Fy5coH///ncdt1IqT+xHjhwxYh88eLDR/4WI4OLiwuXL\nlwsVe1xcXJ6RHwMCAux6v3Q0MmTt2rWN19WrV88zn5qaasxHRkby6aefcvbsWQBu3LjBtWvXjPV1\n6tSx2xasPWlev34ds9mMyWTKc/zC/M3Ku5J+Jv4IcEpEzolIBvA9MDBXmYFAJICI/AR4KKVqU8L+\n/ve/s3//fmrXrk2nTp3o0qULq1JWlfRhNU2r4C5cuGC8PnfuHL6+voA1Sb3zzjvEx8cTHx9PQkIC\nqampPPnkk0b5gsZU8PHxwdXVlejoaGMfiYmJJCUlGfs/c+aMw20LM1aDiNjFfv78eSN2f39/1q9f\nbxf7jRs3qFu3bqGO4evra7fv7P3Xq1evSDHm5/z587zwwgvMmTOHhIQEEhISaNq0aaEuyPz8/IiP\njyc5Odnhujv9zcq7kk7i9YCcf9kY27KCysQ6KFOsrl27xsSJEwF46623GD58+D2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VSrXEnLjvAu4usc9J4FYgTinVCGgHHHVgTEK4jby8PO68806u/XKNJ598kvj4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\nHwdT0ZXBwGlzAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1550,36 +1476,35 @@ }, { "cell_type": "code", - "execution_count": 33, - "metadata": { - "collapsed": false - }, + "execution_count": 32, + "metadata": {}, "outputs": [], "source": [ "pipe_lr = pipe_lr.fit(X_train2, y_train)\n", - "y_pred2 = pipe_lr.predict(X_test[:, [4, 14]])" + "y_labels = pipe_lr.predict(X_test[:, [4, 14]])\n", + "y_probas = pipe_lr.predict_proba(X_test[:, [4, 14]])[:, 1]\n", + "# note that we use probabilities for roc_auc\n", + "# the `[:, 1]` selects the positive class label only" ] }, { "cell_type": "code", - "execution_count": 34, - "metadata": { - "collapsed": false - }, + "execution_count": 33, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "ROC AUC: 0.662\n", + "ROC AUC: 0.752\n", "Accuracy: 0.711\n" ] } ], "source": [ "from sklearn.metrics import roc_auc_score, accuracy_score\n", - "print('ROC AUC: %.3f' % roc_auc_score(y_true=y_test, y_score=y_pred2))\n", - "print('Accuracy: %.3f' % accuracy_score(y_true=y_test, y_pred=y_pred2))" + "print('ROC AUC: %.3f' % roc_auc_score(y_true=y_test, y_score=y_probas))\n", + "print('Accuracy: %.3f' % accuracy_score(y_true=y_test, y_pred=y_labels))" ] }, { @@ -1599,10 +1524,8 @@ }, { "cell_type": "code", - "execution_count": 35, - "metadata": { - "collapsed": false - }, + "execution_count": 34, + "metadata": {}, "outputs": [], "source": [ "pre_scorer = make_scorer(score_func=precision_score, \n", @@ -1635,8 +1558,9 @@ } ], "metadata": { + "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python [default]", "language": "python", "name": "python3" }, @@ -1654,5 +1578,5 @@ } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/code/ch08/ch08.ipynb b/code/ch08/ch08.ipynb index bfc049c2..0be3d989 100644 --- a/code/ch08/ch08.ipynb +++ b/code/ch08/ch08.ipynb @@ -35,9 +35,7 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -178,9 +176,7 @@ { "cell_type": "code", "execution_count": 2, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stderr", @@ -259,9 +255,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -368,9 +362,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -394,9 +386,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -427,9 +417,7 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -491,9 +479,7 @@ { "cell_type": "code", "execution_count": 12, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -559,9 +545,7 @@ { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -607,9 +591,7 @@ { "cell_type": "code", "execution_count": 14, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -631,9 +613,7 @@ { "cell_type": "code", "execution_count": 15, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -668,9 +648,7 @@ { "cell_type": "code", "execution_count": 16, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -690,9 +668,7 @@ { "cell_type": "code", "execution_count": 17, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import re\n", @@ -707,9 +683,7 @@ { "cell_type": "code", "execution_count": 18, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -729,9 +703,7 @@ { "cell_type": "code", "execution_count": 19, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -751,9 +723,7 @@ { "cell_type": "code", "execution_count": 20, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "df['review'] = df['review'].apply(preprocessor)" @@ -796,9 +766,7 @@ { "cell_type": "code", "execution_count": 22, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -818,9 +786,7 @@ { "cell_type": "code", "execution_count": 23, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -840,9 +806,7 @@ { "cell_type": "code", "execution_count": 24, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -873,9 +837,7 @@ { "cell_type": "code", "execution_count": 25, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -921,9 +883,7 @@ { "cell_type": "code", "execution_count": 26, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "X_train = df.loc[:25000, 'review'].values\n", @@ -935,9 +895,7 @@ { "cell_type": "code", "execution_count": 29, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from sklearn.pipeline import Pipeline\n", @@ -976,12 +934,17 @@ " n_jobs=-1)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Note:** Some readers [encountered problems](https://github.com/rasbt/python-machine-learning-book/issues/50) running the following code on Windows. Unfortunately, problems with multiprocessing on Windows are not uncommon. So, if the following code cell should result in issues on your machine, try setting `n_jobs=1` (instead of `n_jobs=-1` in the previous code cell)." + ] + }, { "cell_type": "code", "execution_count": 30, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1027,9 +990,7 @@ { "cell_type": "code", "execution_count": 31, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1048,9 +1009,7 @@ { "cell_type": "code", "execution_count": 32, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1085,9 +1044,7 @@ { "cell_type": "code", "execution_count": 36, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1136,9 +1093,7 @@ { "cell_type": "code", "execution_count": 38, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1193,9 +1148,7 @@ { "cell_type": "code", "execution_count": 39, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1222,9 +1175,7 @@ { "cell_type": "code", "execution_count": 40, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1300,9 +1251,7 @@ { "cell_type": "code", "execution_count": 49, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1323,9 +1272,7 @@ { "cell_type": "code", "execution_count": 50, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "def get_minibatch(doc_stream, size):\n", @@ -1343,9 +1290,7 @@ { "cell_type": "code", "execution_count": 51, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from sklearn.feature_extraction.text import HashingVectorizer\n", @@ -1363,9 +1308,7 @@ { "cell_type": "code", "execution_count": 52, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stderr", @@ -1394,9 +1337,7 @@ { "cell_type": "code", "execution_count": 53, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1415,9 +1356,7 @@ { "cell_type": "code", "execution_count": 54, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "clf = clf.partial_fit(X_test, y_test)" @@ -1455,9 +1394,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.2" + "version": "3.6.1" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/code/ch09/ch09.ipynb b/code/ch09/ch09.ipynb index 1778becf..2b9cb875 100644 --- a/code/ch09/ch09.ipynb +++ b/code/ch09/ch09.ipynb @@ -35,9 +35,7 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -177,9 +175,7 @@ { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -208,9 +204,7 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -270,9 +264,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "def get_minibatch(doc_stream, size):\n", @@ -290,9 +282,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from sklearn.feature_extraction.text import HashingVectorizer\n", @@ -310,9 +300,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stderr", @@ -341,9 +329,7 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -362,9 +348,7 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "clf = clf.partial_fit(X_test, y_test)" @@ -397,9 +381,7 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import pickle\n", @@ -423,9 +405,7 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -492,9 +472,7 @@ { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import pickle\n", @@ -508,9 +486,7 @@ { "cell_type": "code", "execution_count": 14, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -556,9 +532,7 @@ { "cell_type": "code", "execution_count": 15, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import sqlite3\n", @@ -584,9 +558,7 @@ { "cell_type": "code", "execution_count": 16, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "conn = sqlite3.connect('reviews.sqlite')\n", @@ -601,9 +573,7 @@ { "cell_type": "code", "execution_count": 17, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -620,9 +590,7 @@ { "cell_type": "code", "execution_count": 18, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -676,7 +644,67 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "..." + "Directory structure:\n", + "\n", + " 1st_flask_app_1/\n", + " app.py\n", + " templates/\n", + " first_app.html\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "from flask import Flask, render_template\r\n", + "\r\n", + "app = Flask(__name__)\r\n", + "\r\n", + "@app.route('/')\r\n", + "def index():\r\n", + " return render_template('first_app.html')\r\n", + "\r\n", + "if __name__ == '__main__':\r\n", + " app.run(debug=True)" + ] + } + ], + "source": [ + "!cat 1st_flask_app_1/app.py" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r\n", + "\r\n", + " \r\n", + " First app\r\n", + " \r\n", + " \r\n", + "\r\n", + "
\r\n", + "\tHi, this is my first Flask web app!\r\n", + "
\r\n", + "\r\n", + " \r\n", + "" + ] + } + ], + "source": [ + "!cat 1st_flask_app_1/templates/first_app.html" ] }, { @@ -689,9 +717,7 @@ { "cell_type": "code", "execution_count": 19, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -716,9 +742,7 @@ { "cell_type": "code", "execution_count": 20, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -740,6 +764,90 @@ "Image(filename='../images/09_03.png', width=400) " ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Directory structure:\n", + " \n", + " 1st_flask_app_2/\n", + " app.py\n", + " static/\n", + " style.css\n", + " templates/\n", + " _formhelpers.html\n", + " first_app.html\n", + " hello.html" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "from flask import Flask, render_template, request\r\n", + "from wtforms import Form, TextAreaField, validators\r\n", + "\r\n", + "app = Flask(__name__)\r\n", + "\r\n", + "class HelloForm(Form):\r\n", + " sayhello = TextAreaField('',[validators.DataRequired()])\r\n", + "\r\n", + "@app.route('/')\r\n", + "def index():\r\n", + " form = HelloForm(request.form)\r\n", + " return render_template('first_app.html', form=form)\r\n", + "\r\n", + "@app.route('/hello', methods=['POST'])\r\n", + "def hello():\r\n", + " form = HelloForm(request.form)\r\n", + " if request.method == 'POST' and form.validate():\r\n", + " name = request.form['sayhello']\r\n", + " return render_template('hello.html', name=name)\r\n", + " return render_template('first_app.html', form=form)\r\n", + "\r\n", + "if __name__ == '__main__':\r\n", + " app.run(debug=True)" + ] + } + ], + "source": [ + "!cat 1st_flask_app_2/app.py" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{% macro render_field(field) %}\r\n", + "
{{ field.label }}\r\n", + "
{{ field(**kwargs)|safe }}\r\n", + " {% if field.errors %}\r\n", + "
    \r\n", + " {% for error in field.errors %}\r\n", + "
  • {{ error }}
  • \r\n", + " {% endfor %}\r\n", + "
\r\n", + " {% endif %}\r\n", + "
\r\n", + " \r\n", + "{% endmacro %}\r\n" + ] + } + ], + "source": [ + "!cat 1st_flask_app_2/templates/_formhelpers.html" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -758,9 +866,7 @@ { "cell_type": "code", "execution_count": 21, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -785,9 +891,7 @@ { "cell_type": "code", "execution_count": 22, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -812,9 +916,7 @@ { "cell_type": "code", "execution_count": 23, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -839,9 +941,7 @@ { "cell_type": "code", "execution_count": 24, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -863,6 +963,243 @@ "Image(filename='../images/09_07.png', width=200) " ] }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "from flask import Flask, render_template, request\r\n", + "from wtforms import Form, TextAreaField, validators\r\n", + "import pickle\r\n", + "import sqlite3\r\n", + "import os\r\n", + "import numpy as np\r\n", + "\r\n", + "# import HashingVectorizer from local dir\r\n", + "from vectorizer import vect\r\n", + "\r\n", + "app = Flask(__name__)\r\n", + "\r\n", + "######## Preparing the Classifier\r\n", + "cur_dir = os.path.dirname(__file__)\r\n", + "clf = pickle.load(open(os.path.join(cur_dir,\r\n", + " 'pkl_objects',\r\n", + " 'classifier.pkl'), 'rb'))\r\n", + "db = os.path.join(cur_dir, 'reviews.sqlite')\r\n", + "\r\n", + "def classify(document):\r\n", + " label = {0: 'negative', 1: 'positive'}\r\n", + " X = vect.transform([document])\r\n", + " y = clf.predict(X)[0]\r\n", + " proba = np.max(clf.predict_proba(X))\r\n", + " return label[y], proba\r\n", + "\r\n", + "def train(document, y):\r\n", + " X = vect.transform([document])\r\n", + " clf.partial_fit(X, [y])\r\n", + "\r\n", + "def sqlite_entry(path, document, y):\r\n", + " conn = sqlite3.connect(path)\r\n", + " c = conn.cursor()\r\n", + " c.execute(\"INSERT INTO review_db (review, sentiment, date)\"\\\r\n", + " \" VALUES (?, ?, DATETIME('now'))\", (document, y))\r\n", + " conn.commit()\r\n", + " conn.close()\r\n", + "\r\n", + "######## Flask\r\n", + "class ReviewForm(Form):\r\n", + " moviereview = TextAreaField('',\r\n", + " [validators.DataRequired(),\r\n", + " validators.length(min=15)])\r\n", + "\r\n", + "@app.route('/')\r\n", + "def index():\r\n", + " form = ReviewForm(request.form)\r\n", + " return render_template('reviewform.html', form=form)\r\n", + "\r\n", + "@app.route('/results', methods=['POST'])\r\n", + "def results():\r\n", + " form = ReviewForm(request.form)\r\n", + " if request.method == 'POST' and form.validate():\r\n", + " review = request.form['moviereview']\r\n", + " y, proba = classify(review)\r\n", + " return render_template('results.html',\r\n", + " content=review,\r\n", + " prediction=y,\r\n", + " probability=round(proba*100, 2))\r\n", + " return render_template('reviewform.html', form=form)\r\n", + "\r\n", + "@app.route('/thanks', methods=['POST'])\r\n", + "def feedback():\r\n", + " feedback = request.form['feedback_button']\r\n", + " review = request.form['review']\r\n", + " prediction = request.form['prediction']\r\n", + "\r\n", + " inv_label = {'negative': 0, 'positive': 1}\r\n", + " y = inv_label[prediction]\r\n", + " if feedback == 'Incorrect':\r\n", + " y = int(not(y))\r\n", + " train(review, y)\r\n", + " sqlite_entry(db, review, y)\r\n", + " return render_template('thanks.html')\r\n", + "\r\n", + "if __name__ == '__main__':\r\n", + " app.run(debug=True)\r\n" + ] + } + ], + "source": [ + "!cat ./movieclassifier/app.py" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r\n", + "\r\n", + " \r\n", + " Movie Classification\r\n", + "\t\r\n", + " \r\n", + " \r\n", + "\r\n", + "

Please enter your movie review:

\r\n", + "\r\n", + "{% from \"_formhelpers.html\" import render_field %}\r\n", + "\r\n", + "
\r\n", + "
\r\n", + "\t{{ render_field(form.moviereview, cols='30', rows='10') }}\r\n", + "
\r\n", + "
\r\n", + "\t \r\n", + "
\r\n", + "
\r\n", + "\r\n", + " \r\n", + "" + ] + } + ], + "source": [ + "!cat ./movieclassifier/templates/reviewform.html" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r\n", + "\r\n", + " \r\n", + " Movie Classification\r\n", + "\t\r\n", + " \r\n", + " \r\n", + "\r\n", + "

Your movie review:

\r\n", + "
{{ content }}
\r\n", + "\r\n", + "

Prediction:

\r\n", + "
This movie review is {{ prediction }}\r\n", + "\t (probability: {{ probability }}%).
\r\n", + "\r\n", + "
\r\n", + "\t
\r\n", + "\t \r\n", + "\t\t\r\n", + "\t\t\r\n", + "\t\t\r\n", + "\t
\r\n", + "
\r\n", + "\r\n", + "
\r\n", + "\t
\r\n", + "\t \r\n", + "\t
\r\n", + "
\r\n", + "\r\n", + " \r\n", + "\r\n" + ] + } + ], + "source": [ + "!cat ./movieclassifier/templates/results.html" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "body{\r\n", + "\twidth:600px;\r\n", + "}\r\n", + "\r\n", + ".button{\r\n", + "\tpadding-top: 20px;\r\n", + "}\r\n" + ] + } + ], + "source": [ + "!cat ./movieclassifier/static/style.css" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r\n", + "\r\n", + " \r\n", + " Movie Classification\r\n", + "\t\r\n", + " \r\n", + " \r\n", + "\r\n", + "

Thank you for your feedback!

\r\n", + "\r\n", + "
\r\n", + "\t
\r\n", + "\t \r\n", + "\t
\r\n", + "
\r\n", + "\r\n", + " \r\n", + "" + ] + } + ], + "source": [ + "!cat ./movieclassifier/templates/thanks.html" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -881,9 +1218,7 @@ { "cell_type": "code", "execution_count": 25, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -937,9 +1272,7 @@ { "cell_type": "code", "execution_count": 26, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import pickle\n", @@ -980,9 +1313,7 @@ { "cell_type": "code", "execution_count": 27, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "cur_dir = '.'\n", @@ -1007,6 +1338,66 @@ "# , protocol=4)" ] }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "import pickle\r\n", + "import sqlite3\r\n", + "import numpy as np\r\n", + "import os\r\n", + "\r\n", + "# import HashingVectorizer from local dir\r\n", + "from vectorizer import vect\r\n", + "\r\n", + "def update_model(db_path, model, batch_size=10000):\r\n", + "\r\n", + " conn = sqlite3.connect(db_path)\r\n", + " c = conn.cursor()\r\n", + " c.execute('SELECT * from review_db')\r\n", + "\r\n", + " results = c.fetchmany(batch_size)\r\n", + " while results:\r\n", + " data = np.array(results)\r\n", + " X = data[:, 0]\r\n", + " y = data[:, 1].astype(int)\r\n", + "\r\n", + " classes = np.array([0, 1])\r\n", + " X_train = vect.transform(X)\r\n", + " model.partial_fit(X_train, y, classes=classes)\r\n", + " results = c.fetchmany(batch_size)\r\n", + "\r\n", + " conn.close()\r\n", + " return model\r\n", + "\r\n", + "cur_dir = os.path.dirname(__file__)\r\n", + "\r\n", + "clf = pickle.load(open(os.path.join(cur_dir,\r\n", + " 'pkl_objects',\r\n", + " 'classifier.pkl'), 'rb'))\r\n", + "db = os.path.join(cur_dir, 'reviews.sqlite')\r\n", + "\r\n", + "clf = update_model(db_path=db, model=clf, batch_size=10000)\r\n", + "\r\n", + "# Uncomment the following lines if you are sure that\r\n", + "# you want to update your classifier.pkl file\r\n", + "# permanently.\r\n", + "\r\n", + "# pickle.dump(clf, open(os.path.join(cur_dir,\r\n", + "# 'pkl_objects', 'classifier.pkl'), 'wb')\r\n", + "# , protocol=4)\r\n" + ] + } + ], + "source": [ + "!cat ./movieclassifier_with_update/update.py" + ] + }, { "cell_type": "markdown", "metadata": { @@ -1050,9 +1441,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.2" + "version": "3.6.0" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/code/ch11/ch11.ipynb b/code/ch11/ch11.ipynb index ba9305e7..39b62c9c 100644 --- a/code/ch11/ch11.ipynb +++ b/code/ch11/ch11.ipynb @@ -35,9 +35,7 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -151,9 +149,7 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -179,9 +175,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -281,9 +275,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -300,9 +292,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -350,9 +340,7 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -416,9 +404,7 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -465,9 +451,7 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -527,9 +511,7 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -554,9 +536,7 @@ { "cell_type": "code", "execution_count": 12, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -651,9 +631,7 @@ { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -748,9 +726,7 @@ { "cell_type": "code", "execution_count": 14, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -829,7 +805,6 @@ "cell_type": "code", "execution_count": 15, "metadata": { - "collapsed": false, "scrolled": true }, "outputs": [ @@ -907,9 +882,7 @@ { "cell_type": "code", "execution_count": 16, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -985,9 +958,7 @@ { "cell_type": "code", "execution_count": 17, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1036,9 +1007,7 @@ { "cell_type": "code", "execution_count": 18, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1060,7 +1029,7 @@ "row_dendr = dendrogram(row_clusters, orientation='left')\n", "\n", "# reorder data with respect to clustering\n", - "df_rowclust = df.ix[row_dendr['leaves'][::-1]]\n", + "df_rowclust = df.iloc[row_dendr['leaves'][::-1]]\n", "\n", "axd.set_xticks([])\n", "axd.set_yticks([])\n", @@ -1097,9 +1066,7 @@ { "cell_type": "code", "execution_count": 19, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1137,9 +1104,7 @@ { "cell_type": "code", "execution_count": 20, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1164,9 +1129,7 @@ { "cell_type": "code", "execution_count": 21, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1199,9 +1162,7 @@ { "cell_type": "code", "execution_count": 22, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1251,9 +1212,7 @@ { "cell_type": "code", "execution_count": 23, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1309,7 +1268,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -1323,9 +1282,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.2" + "version": "3.6.0" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/code/ch12/ch12.ipynb b/code/ch12/ch12.ipynb index 37df9885..979ba574 100644 --- a/code/ch12/ch12.ipynb +++ b/code/ch12/ch12.ipynb @@ -35,23 +35,21 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sebastian Raschka \n", - "last updated: 2016-09-29 \n", + "last updated: 2017-07-29 \n", "\n", - "CPython 3.5.2\n", - "IPython 5.1.0\n", + "CPython 3.6.1\n", + "IPython 6.0.0\n", "\n", - "numpy 1.11.1\n", - "scipy 0.18.1\n", - "matplotlib 1.5.1\n" + "numpy 1.13.1\n", + "scipy 0.19.1\n", + "matplotlib 2.0.2\n" ] } ], @@ -110,9 +108,9 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -143,10 +141,8 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, + "execution_count": 3, + "metadata": {}, "outputs": [ { "data": { @@ -155,7 +151,7 @@ "" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": { "image/png": { "width": 600 @@ -185,10 +181,8 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, + "execution_count": 4, + "metadata": {}, "outputs": [ { "data": { @@ -197,7 +191,7 @@ "" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": { "image/png": { "width": 400 @@ -212,10 +206,8 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, + "execution_count": 5, + "metadata": {}, "outputs": [ { "data": { @@ -224,7 +216,7 @@ "" ] }, - "execution_count": 6, + "execution_count": 5, "metadata": { "image/png": { "width": 500 @@ -254,10 +246,8 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, + "execution_count": 6, + "metadata": {}, "outputs": [ { "data": { @@ -266,7 +256,7 @@ "" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": { "image/png": { "width": 500 @@ -328,7 +318,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": { "collapsed": true }, @@ -360,12 +350,54 @@ " return images, labels" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Important Note**\n", + "\n", + "Some readers experienced issues with the `load_mnist` function above as certain decompression tools renamed the files from *-labels-idx1-ubyte* to *-labels.idx1-ubyte*. To avoid this problem altogether, you the modified function above will directly load the dataset from the `gz` archives using Python's `gzip` module." + ] + }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": { - "collapsed": false + "collapsed": true }, + "outputs": [], + "source": [ + "import os\n", + "import struct\n", + "import numpy as np\n", + "import gzip\n", + " \n", + "def load_mnist(path, kind='train'):\n", + " \"\"\"Load MNIST data from `path`\"\"\"\n", + " labels_path = os.path.join(path, \n", + " '%s-labels-idx1-ubyte.gz' % kind)\n", + " images_path = os.path.join(path, \n", + " '%s-images-idx3-ubyte.gz' % kind)\n", + " \n", + " with gzip.open(labels_path, 'rb') as lbpath:\n", + " lbpath.read(8)\n", + " buffer = lbpath.read()\n", + " labels = np.frombuffer(buffer, dtype=np.uint8)\n", + "\n", + " with gzip.open(images_path, 'rb') as imgpath:\n", + " imgpath.read(16)\n", + " buffer = imgpath.read()\n", + " images = np.frombuffer(buffer, \n", + " dtype=np.uint8).reshape(\n", + " len(labels), 784).astype(np.float64)\n", + " \n", + " return images, labels" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -383,9 +415,7 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -410,9 +440,7 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -451,9 +479,7 @@ { "cell_type": "code", "execution_count": 12, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -497,7 +523,7 @@ "cell_type": "code", "execution_count": 13, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -524,9 +550,7 @@ }, { "cell_type": "markdown", - "metadata": { - "collapsed": false - }, + "metadata": {}, "source": [ "## Implementing a multi-layer perceptron" ] @@ -535,7 +559,7 @@ "cell_type": "code", "execution_count": 8, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -868,11 +892,87 @@ " return self" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "**Note**\n", + "\n", + "In the fit method of the MLP example above,\n", + "\n", + "```python\n", + "\n", + "for idx in mini:\n", + "...\n", + " # compute gradient via backpropagation\n", + " grad1, grad2 = self._get_gradient(a1=a1, a2=a2,\n", + " a3=a3, z2=z2,\n", + " y_enc=y_enc[:, idx],\n", + " w1=self.w1,\n", + " w2=self.w2)\n", + "\n", + " delta_w1, delta_w2 = self.eta * grad1, self.eta * grad2\n", + " self.w1 -= (delta_w1 + (self.alpha * delta_w1_prev))\n", + " self.w2 -= (delta_w2 + (self.alpha * delta_w2_prev))\n", + " delta_w1_prev, delta_w2_prev = delta_w1, delta_w2\n", + "```\n", + "\n", + "`delta_w1_prev` (same applies to `delta_w2_prev`) is a memory view on `delta_w1` via \n", + "\n", + "```python\n", + "delta_w1_prev = delta_w1\n", + "```\n", + "on the last line. This could be problematic, since updating `delta_w1 = self.eta * grad1` would change `delta_w1_prev` as well when we iterate over the for loop. Note that this is not the case here, because we assign a new array to `delta_w1` in each iteration -- the gradient array times the learning rate:\n", + "\n", + "```python\n", + "delta_w1 = self.eta * grad1\n", + "```\n", + "\n", + "The assignment shown above leaves the `delta_w1_prev` pointing to the \"old\" `delta_w1` array. To illustrates this with a simple snippet, consider the following example:\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a & b True\n", + "a & b False\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "a = np.arange(5)\n", + "b = a\n", + "print('a & b', np.may_share_memory(a, b))\n", + "\n", + "\n", + "a = np.arange(5)\n", + "print('a & b', np.may_share_memory(a, b))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "(End of note.)\n", + "\n", + "---" + ] + }, { "cell_type": "code", "execution_count": 15, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -893,9 +993,7 @@ { "cell_type": "code", "execution_count": 16, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stderr", @@ -922,9 +1020,7 @@ { "cell_type": "code", "execution_count": 17, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -953,7 +1049,7 @@ "cell_type": "code", "execution_count": 18, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -965,9 +1061,7 @@ { "cell_type": "code", "execution_count": 19, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -993,9 +1087,7 @@ { "cell_type": "code", "execution_count": 20, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1020,9 +1112,7 @@ { "cell_type": "code", "execution_count": 21, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1047,9 +1137,7 @@ { "cell_type": "code", "execution_count": 22, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1084,9 +1172,7 @@ { "cell_type": "code", "execution_count": 23, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1152,9 +1238,7 @@ { "cell_type": "code", "execution_count": 24, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1194,9 +1278,7 @@ { "cell_type": "code", "execution_count": 25, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1221,9 +1303,7 @@ { "cell_type": "code", "execution_count": 26, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1279,9 +1359,7 @@ { "cell_type": "code", "execution_count": 27, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1306,9 +1384,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1732,7 +1808,7 @@ "cell_type": "code", "execution_count": 29, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -1753,9 +1829,7 @@ { "cell_type": "code", "execution_count": 30, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1806,9 +1880,7 @@ { "cell_type": "code", "execution_count": 31, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1862,9 +1934,7 @@ { "cell_type": "code", "execution_count": 32, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1889,9 +1959,7 @@ { "cell_type": "code", "execution_count": 33, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1931,9 +1999,7 @@ { "cell_type": "code", "execution_count": 34, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -1999,6 +2065,7 @@ } ], "metadata": { + "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", @@ -2014,9 +2081,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.2" + "version": "3.6.1" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/code/ch12/neuralnet.py b/code/ch12/neuralnet.py new file mode 100644 index 00000000..fc2b4a25 --- /dev/null +++ b/code/ch12/neuralnet.py @@ -0,0 +1,331 @@ +# Python Machine Learning by Sebastian Raschka, Packt Publishing Ltd. 2015 +# Code Repository: https://github.com/rasbt/python-machine-learning-book +# Code License: MIT License + +import numpy as np +from scipy.special import expit +import sys + + +class NeuralNetMLP(object): + """ Feedforward neural network / Multi-layer perceptron classifier. + + Parameters + ------------ + n_output : int + Number of output units, should be equal to the + number of unique class labels. + n_features : int + Number of features (dimensions) in the target dataset. + Should be equal to the number of columns in the X array. + n_hidden : int (default: 30) + Number of hidden units. + l1 : float (default: 0.0) + Lambda value for L1-regularization. + No regularization if l1=0.0 (default) + l2 : float (default: 0.0) + Lambda value for L2-regularization. + No regularization if l2=0.0 (default) + epochs : int (default: 500) + Number of passes over the training set. + eta : float (default: 0.001) + Learning rate. + alpha : float (default: 0.0) + Momentum constant. Factor multiplied with the + gradient of the previous epoch t-1 to improve + learning speed + w(t) := w(t) - (grad(t) + alpha*grad(t-1)) + decrease_const : float (default: 0.0) + Decrease constant. Shrinks the learning rate + after each epoch via eta / (1 + epoch*decrease_const) + shuffle : bool (default: True) + Shuffles training data every epoch if True to prevent circles. + minibatches : int (default: 1) + Divides training data into k minibatches for efficiency. + Normal gradient descent learning if k=1 (default). + random_state : int (default: None) + Set random state for shuffling and initializing the weights. + + Attributes + ----------- + cost_ : list + Sum of squared errors after each epoch. + + """ + def __init__(self, n_output, n_features, n_hidden=30, + l1=0.0, l2=0.0, epochs=500, eta=0.001, + alpha=0.0, decrease_const=0.0, shuffle=True, + minibatches=1, random_state=None): + + np.random.seed(random_state) + self.n_output = n_output + self.n_features = n_features + self.n_hidden = n_hidden + self.w1, self.w2 = self._initialize_weights() + self.l1 = l1 + self.l2 = l2 + self.epochs = epochs + self.eta = eta + self.alpha = alpha + self.decrease_const = decrease_const + self.shuffle = shuffle + self.minibatches = minibatches + + def _encode_labels(self, y, k): + """Encode labels into one-hot representation + + Parameters + ------------ + y : array, shape = [n_samples] + Target values. + + Returns + ----------- + onehot : array, shape = (n_labels, n_samples) + + """ + onehot = np.zeros((k, y.shape[0])) + for idx, val in enumerate(y): + onehot[val, idx] = 1.0 + return onehot + + def _initialize_weights(self): + """Initialize weights with small random numbers.""" + w1 = np.random.uniform(-1.0, 1.0, + size=self.n_hidden*(self.n_features + 1)) + w1 = w1.reshape(self.n_hidden, self.n_features + 1) + w2 = np.random.uniform(-1.0, 1.0, + size=self.n_output*(self.n_hidden + 1)) + w2 = w2.reshape(self.n_output, self.n_hidden + 1) + return w1, w2 + + def _sigmoid(self, z): + """Compute logistic function (sigmoid) + + Uses scipy.special.expit to avoid overflow + error for very small input values z. + + """ + # return 1.0 / (1.0 + np.exp(-z)) + return expit(z) + + def _sigmoid_gradient(self, z): + """Compute gradient of the logistic function""" + sg = self._sigmoid(z) + return sg * (1.0 - sg) + + def _add_bias_unit(self, X, how='column'): + """Add bias unit (column or row of 1s) to array at index 0""" + if how == 'column': + X_new = np.ones((X.shape[0], X.shape[1] + 1)) + X_new[:, 1:] = X + elif how == 'row': + X_new = np.ones((X.shape[0] + 1, X.shape[1])) + X_new[1:, :] = X + else: + raise AttributeError('`how` must be `column` or `row`') + return X_new + + def _feedforward(self, X, w1, w2): + """Compute feedforward step + + Parameters + ----------- + X : array, shape = [n_samples, n_features] + Input layer with original features. + w1 : array, shape = [n_hidden_units, n_features] + Weight matrix for input layer -> hidden layer. + w2 : array, shape = [n_output_units, n_hidden_units] + Weight matrix for hidden layer -> output layer. + + Returns + ---------- + a1 : array, shape = [n_samples, n_features+1] + Input values with bias unit. + z2 : array, shape = [n_hidden, n_samples] + Net input of hidden layer. + a2 : array, shape = [n_hidden+1, n_samples] + Activation of hidden layer. + z3 : array, shape = [n_output_units, n_samples] + Net input of output layer. + a3 : array, shape = [n_output_units, n_samples] + Activation of output layer. + + """ + a1 = self._add_bias_unit(X, how='column') + z2 = w1.dot(a1.T) + a2 = self._sigmoid(z2) + a2 = self._add_bias_unit(a2, how='row') + z3 = w2.dot(a2) + a3 = self._sigmoid(z3) + return a1, z2, a2, z3, a3 + + def _L2_reg(self, lambda_, w1, w2): + """Compute L2-regularization cost""" + return (lambda_/2.0) * (np.sum(w1[:, 1:] ** 2) + + np.sum(w2[:, 1:] ** 2)) + + def _L1_reg(self, lambda_, w1, w2): + """Compute L1-regularization cost""" + return (lambda_/2.0) * (np.abs(w1[:, 1:]).sum() + + np.abs(w2[:, 1:]).sum()) + + def _get_cost(self, y_enc, output, w1, w2): + """Compute cost function. + + Parameters + ---------- + y_enc : array, shape = (n_labels, n_samples) + one-hot encoded class labels. + output : array, shape = [n_output_units, n_samples] + Activation of the output layer (feedforward) + w1 : array, shape = [n_hidden_units, n_features] + Weight matrix for input layer -> hidden layer. + w2 : array, shape = [n_output_units, n_hidden_units] + Weight matrix for hidden layer -> output layer. + + Returns + --------- + cost : float + Regularized cost. + + """ + term1 = -y_enc * (np.log(output)) + term2 = (1.0 - y_enc) * np.log(1.0 - output) + cost = np.sum(term1 - term2) + L1_term = self._L1_reg(self.l1, w1, w2) + L2_term = self._L2_reg(self.l2, w1, w2) + cost = cost + L1_term + L2_term + return cost + + def _get_gradient(self, a1, a2, a3, z2, y_enc, w1, w2): + """ Compute gradient step using backpropagation. + + Parameters + ------------ + a1 : array, shape = [n_samples, n_features+1] + Input values with bias unit. + a2 : array, shape = [n_hidden+1, n_samples] + Activation of hidden layer. + a3 : array, shape = [n_output_units, n_samples] + Activation of output layer. + z2 : array, shape = [n_hidden, n_samples] + Net input of hidden layer. + y_enc : array, shape = (n_labels, n_samples) + one-hot encoded class labels. + w1 : array, shape = [n_hidden_units, n_features] + Weight matrix for input layer -> hidden layer. + w2 : array, shape = [n_output_units, n_hidden_units] + Weight matrix for hidden layer -> output layer. + + Returns + --------- + grad1 : array, shape = [n_hidden_units, n_features] + Gradient of the weight matrix w1. + grad2 : array, shape = [n_output_units, n_hidden_units] + Gradient of the weight matrix w2. + + """ + # backpropagation + sigma3 = a3 - y_enc + z2 = self._add_bias_unit(z2, how='row') + sigma2 = w2.T.dot(sigma3) * self._sigmoid_gradient(z2) + sigma2 = sigma2[1:, :] + grad1 = sigma2.dot(a1) + grad2 = sigma3.dot(a2.T) + + # regularize + grad1[:, 1:] += self.l2 * w1[:, 1:] + grad1[:, 1:] += self.l1 * np.sign(w1[:, 1:]) + grad2[:, 1:] += self.l2 * w2[:, 1:] + grad2[:, 1:] += self.l1 * np.sign(w2[:, 1:]) + + return grad1, grad2 + + def predict(self, X): + """Predict class labels + + Parameters + ----------- + X : array, shape = [n_samples, n_features] + Input layer with original features. + + Returns: + ---------- + y_pred : array, shape = [n_samples] + Predicted class labels. + + """ + if len(X.shape) != 2: + raise AttributeError('X must be a [n_samples, n_features] array.\n' + 'Use X[:,None] for 1-feature classification,' + '\nor X[[i]] for 1-sample classification') + + a1, z2, a2, z3, a3 = self._feedforward(X, self.w1, self.w2) + y_pred = np.argmax(z3, axis=0) + return y_pred + + def fit(self, X, y, print_progress=False): + """ Learn weights from training data. + + Parameters + ----------- + X : array, shape = [n_samples, n_features] + Input layer with original features. + y : array, shape = [n_samples] + Target class labels. + print_progress : bool (default: False) + Prints progress as the number of epochs + to stderr. + + Returns: + ---------- + self + + """ + self.cost_ = [] + X_data, y_data = X.copy(), y.copy() + y_enc = self._encode_labels(y, self.n_output) + + delta_w1_prev = np.zeros(self.w1.shape) + delta_w2_prev = np.zeros(self.w2.shape) + + for i in range(self.epochs): + + # adaptive learning rate + self.eta /= (1 + self.decrease_const*i) + + if print_progress: + sys.stderr.write('\rEpoch: %d/%d' % (i+1, self.epochs)) + sys.stderr.flush() + + if self.shuffle: + idx = np.random.permutation(y_data.shape[0]) + X_data, y_enc = X_data[idx], y_enc[:, idx] + + mini = np.array_split(range(y_data.shape[0]), self.minibatches) + for idx in mini: + + # feedforward + a1, z2, a2, z3, a3 = self._feedforward(X_data[idx], + self.w1, + self.w2) + cost = self._get_cost(y_enc=y_enc[:, idx], + output=a3, + w1=self.w1, + w2=self.w2) + self.cost_.append(cost) + + # compute gradient via backpropagation + grad1, grad2 = self._get_gradient(a1=a1, a2=a2, + a3=a3, z2=z2, + y_enc=y_enc[:, idx], + w1=self.w1, + w2=self.w2) + + delta_w1, delta_w2 = self.eta * grad1, self.eta * grad2 + self.w1 -= (delta_w1 + (self.alpha * delta_w1_prev)) + self.w2 -= (delta_w2 + (self.alpha * delta_w2_prev)) + delta_w1_prev, delta_w2_prev = delta_w1, delta_w2 + + return self \ No newline at end of file diff --git a/code/ch12/optional-streamlined-neuralnet.py b/code/ch12/optional-streamlined-neuralnet.py new file mode 100644 index 00000000..4af365ca --- /dev/null +++ b/code/ch12/optional-streamlined-neuralnet.py @@ -0,0 +1,256 @@ +# Python Machine Learning by Sebastian Raschka, Packt Publishing Ltd. 2015 +# Code Repository: https://github.com/rasbt/python-machine-learning-book +# Code License: MIT License + +import numpy as np +import sys + + +class NeuralNetMLP(object): + """ Feedforward neural network / Multi-layer perceptron classifier. + + Parameters + ------------ + n_hidden : int (default: 30) + Number of hidden units. + l2 : float (default: 0.) + Lambda value for L2-regularization. + No regularization if l2=0. (default) + epochs : int (default: 100) + Number of passes over the training set. + eta : float (default: 0.001) + Learning rate. + shuffle : bool (default: True) + Shuffles training data every epoch if True to prevent circles. + minibatche_size : int (default: 1) + Number of training samples per minibatch. + seed : int (default: None) + Random seed for initializing weights and shuffling. + + Attributes + ----------- + eval_ : dict + Dictionary collecting the cost, training accuracy, + and validation accuracy for each epoch during training. + + """ + def __init__(self, n_hidden=30, + l2=0., epochs=100, eta=0.001, + shuffle=True, minibatch_size=1, seed=None): + + self.random = np.random.RandomState(seed) + self.n_hidden = n_hidden + self.l2 = l2 + self.epochs = epochs + self.eta = eta + self.shuffle = shuffle + self.minibatch_size = minibatch_size + + def _onehot(self, y, n_classes): + """Encode labels into one-hot representation + + Parameters + ------------ + y : array, shape = [n_samples] + Target values. + + Returns + ----------- + onehot : array, shape = (n_samples, n_labels) + + """ + onehot = np.zeros((n_classes, y.shape[0].astype(int))) + for idx, val in enumerate(y): + onehot[val, idx] = 1. + return onehot.T + + def _sigmoid(self, z): + """Compute logistic function (sigmoid)""" + return 1. / (1. + np.exp(-np.clip(z, -250, 250))) + + def _forward(self, X): + """Compute forward propagation step""" + + # step 1: net input of hidden layer + # [n_samples, n_features] dot [n_features, n_hidden] + # -> [n_samples, n_hidden] + z_h = np.dot(X, self.w_h) + self.b_h + + # step 2: activation of hidden layer + a_h = self._sigmoid(z_h) + + # step 3: net input of output layer + # [n_samples, n_hidden] dot [n_hidden, n_classlabels] + # -> [n_samples, n_classlabels] + + z_out = np.dot(a_h, self.w_out) + self.b_out + + # step 4: activation output layer + a_out = self._sigmoid(z_out) + + return z_h, a_h, z_out, a_out + + def _compute_cost(self, y_enc, output): + """Compute cost function. + + Parameters + ---------- + y_enc : array, shape = (n_samples, n_labels) + one-hot encoded class labels. + output : array, shape = [n_samples, n_output_units] + Activation of the output layer (forward propagation) + + Returns + --------- + cost : float + Regularized cost + + """ + L2_term = (self.l2 * + (np.sum(self.w_h ** 2.) + + np.sum(self.w_out ** 2.))) + + term1 = -y_enc * (np.log(output)) + term2 = (1. - y_enc) * np.log(1. - output) + cost = np.sum(term1 - term2) + L2_term + return cost + + def predict(self, X): + """Predict class labels + + Parameters + ----------- + X : array, shape = [n_samples, n_features] + Input layer with original features. + + Returns: + ---------- + y_pred : array, shape = [n_samples] + Predicted class labels. + + """ + z_h, a_h, z_out, a_out = self._forward(X) + y_pred = np.argmax(z_out, axis=1) + return y_pred + + def fit(self, X_train, y_train, X_valid, y_valid): + """ Learn weights from training data. + + Parameters + ----------- + X_train : array, shape = [n_samples, n_features] + Input layer with original features. + y_train : array, shape = [n_samples] + Target class labels. + X_valid : array, shape = [n_samples, n_features] + Sample features for validation during training + y_valid : array, shape = [n_samples] + Sample labels for validation during training + + Returns: + ---------- + self + + """ + n_output = np.unique(y_train).shape[0] # number of class labels + n_features = X_train.shape[1] + + ######################## + # Weight initialization + ######################## + + # weights for input -> hidden + self.b_h = np.zeros(self.n_hidden) + self.w_h = self.random.normal(loc=0.0, scale=0.1, + size=(n_features, self.n_hidden)) + + # weights for hidden -> output + self.b_out = np.zeros(n_output) + self.w_out = self.random.normal(loc=0.0, scale=0.1, + size=(self.n_hidden, n_output)) + + epoch_strlen = len(str(self.epochs)) # for progress formatting + self.eval_ = {'cost': [], 'train_acc': [], 'valid_acc': []} + + y_train_enc = self._onehot(y_train, n_output) + + # iterate over training epochs + for i in range(self.epochs): + + # iterate over minibatches + indices = np.arange(X_train.shape[0]) + + if self.shuffle: + self.random.shuffle(indices) + + for start_idx in range(0, indices.shape[0] - self.minibatch_size + + 1, self.minibatch_size): + batch_idx = indices[start_idx:start_idx + self.minibatch_size] + + # forward propagation + z_h, a_h, z_out, a_out = self._forward(X_train[batch_idx]) + + ################## + # Backpropagation + ################## + + # [n_samples, n_classlabels] + sigma_out = a_out - y_train_enc[batch_idx] + + # [n_samples, n_hidden] + sigmoid_derivative_h = a_h * (1. - a_h) + + # [n_samples, n_classlabels] dot [n_classlabels, n_hidden] + # -> [n_samples, n_hidden] + sigma_h = (np.dot(sigma_out, self.w_out.T) * + sigmoid_derivative_h) + + # [n_features, n_samples] dot [n_samples, n_hidden] + # -> [n_features, n_hidden] + grad_w_h = np.dot(X_train[batch_idx].T, sigma_h) + grad_b_h = np.sum(sigma_h, axis=0) + + # [n_hidden, n_samples] dot [n_samples, n_classlabels] + # -> [n_hidden, n_classlabels] + grad_w_out = np.dot(a_h.T, sigma_out) + grad_b_out = np.sum(sigma_out, axis=0) + + # Regularization and weight updates + delta_w_h = (grad_w_h + self.l2*self.w_h) + delta_b_h = grad_b_h # bias is not regularized + self.w_h -= self.eta * delta_w_h + self.b_h -= self.eta * delta_b_h + + delta_w_out = (grad_w_out + self.l2*self.w_out) + delta_b_out = grad_b_out # bias is not regularized + self.w_out -= self.eta * delta_w_out + self.b_out -= self.eta * delta_b_out + + ############# + # Evaluation + ############# + + # Evaluation after each epoch during training + z_h, a_h, z_out, a_out = self._forward(X_train) + cost = self._compute_cost(y_enc=y_train_enc, + output=a_out) + + y_train_pred = self.predict(X_train) + y_valid_pred = self.predict(X_valid) + + train_acc = ((np.sum(y_train == y_train_pred)).astype(np.float) / + X_train.shape[0]) + valid_acc = ((np.sum(y_valid == y_valid_pred)).astype(np.float) / + X_valid.shape[0]) + + sys.stderr.write('\r%0*d/%d | Cost: %.2f ' + '| Train/Valid Acc.: %.2f%%/%.2f%% ' % + (epoch_strlen, i+1, self.epochs, cost, + train_acc*100, valid_acc*100)) + sys.stderr.flush() + + self.eval_['cost'].append(cost) + self.eval_['train_acc'].append(train_acc) + self.eval_['valid_acc'].append(valid_acc) + + return self \ No newline at end of file diff --git a/code/ch13/ch13.ipynb b/code/ch13/ch13.ipynb index b7e92a9b..93492a53 100644 --- a/code/ch13/ch13.ipynb +++ b/code/ch13/ch13.ipynb @@ -35,24 +35,29 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Using Theano backend.\n" + ] + }, { "name": "stdout", "output_type": "stream", "text": [ "Sebastian Raschka \n", - "Last updated: 08/27/2015 \n", + "last updated: 2017-07-04 \n", "\n", - "CPython 3.4.3\n", - "IPython 4.0.0\n", + "CPython 3.6.1\n", + "IPython 6.0.0\n", "\n", - "numpy 1.9.2\n", - "matplotlib 1.4.3\n", - "theano 0.7.0\n", - "keras 0.1.2\n" + "numpy 1.13.0\n", + "matplotlib 2.0.2\n", + "theano 0.9.0\n", + "keras 2.0.5\n" ] } ], @@ -105,7 +110,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "collapsed": true }, @@ -116,7 +121,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": { "collapsed": true }, @@ -145,10 +150,8 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, + "execution_count": 4, + "metadata": {}, "outputs": [ { "data": { @@ -157,7 +160,7 @@ "" ] }, - "execution_count": 3, + "execution_count": 4, "metadata": { "image/png": { "width": 500 @@ -208,9 +211,9 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 5, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -220,18 +223,16 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, + "execution_count": 6, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array(2.5)" + "array(2.5, dtype=float32)" ] }, - "execution_count": 4, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -276,16 +277,14 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, + "execution_count": 7, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "float64\n" + "float32\n" ] } ], @@ -295,7 +294,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 8, "metadata": { "collapsed": true }, @@ -328,10 +327,8 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, + "execution_count": 9, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -390,10 +387,8 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, + "execution_count": 10, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -435,10 +430,8 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, + "execution_count": 11, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -480,10 +473,8 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, + "execution_count": 12, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -542,7 +533,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 13, "metadata": { "collapsed": true }, @@ -567,9 +558,9 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 14, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -620,16 +611,14 @@ }, { "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false - }, + "execution_count": 15, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -660,16 +649,14 @@ }, { "cell_type": "code", - "execution_count": 23, - "metadata": { - "collapsed": false - }, + "execution_count": 16, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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fMmUKFRUVLF68WIc0EhHPUUglgY6ODqqrq3nvvfci6suXL6esrIysrCxHnYmI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\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -746,10 +733,8 @@ }, { "cell_type": "code", - "execution_count": 29, - "metadata": { - "collapsed": false - }, + "execution_count": 17, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -788,10 +773,8 @@ }, { "cell_type": "code", - "execution_count": 30, - "metadata": { - "collapsed": false - }, + "execution_count": 18, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -831,10 +814,8 @@ }, { "cell_type": "code", - "execution_count": 31, - "metadata": { - "collapsed": false - }, + "execution_count": 19, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -879,7 +860,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 20, "metadata": { "collapsed": true }, @@ -895,10 +876,8 @@ }, { "cell_type": "code", - "execution_count": 33, - "metadata": { - "collapsed": false - }, + "execution_count": 21, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -918,10 +897,8 @@ }, { "cell_type": "code", - "execution_count": 34, - "metadata": { - "collapsed": false - }, + "execution_count": 22, + "metadata": {}, "outputs": [ { "data": { @@ -929,7 +906,7 @@ "1.0" ] }, - "execution_count": 34, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -940,10 +917,8 @@ }, { "cell_type": "code", - "execution_count": 35, - "metadata": { - "collapsed": false - }, + "execution_count": 23, + "metadata": {}, "outputs": [ { "data": { @@ -951,7 +926,7 @@ "array([2])" ] }, - "execution_count": 35, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -971,10 +946,8 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, + "execution_count": 24, + "metadata": {}, "outputs": [ { "data": { @@ -983,7 +956,7 @@ "" ] }, - "execution_count": 3, + "execution_count": 24, "metadata": { "image/png": { "width": 800 @@ -1024,7 +997,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 25, "metadata": { "collapsed": true }, @@ -1038,16 +1011,14 @@ }, { "cell_type": "code", - "execution_count": 37, - "metadata": { - "collapsed": false - }, + "execution_count": 26, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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Jb5aZLQBygbnxDkqkI3viiScoLS1l4sSJjB6dko8oirSqpnamuAJ43N1L3H1B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\nIiIp7f8BNM/UAollYmAAAAAASUVORK5CYII=\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1091,10 +1062,8 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, + "execution_count": 27, + "metadata": {}, "outputs": [ { "data": { @@ -1103,7 +1072,7 @@ "" ] }, - "execution_count": 6, + "execution_count": 27, "metadata": { "image/png": { "width": 700 @@ -1131,6 +1100,24 @@ "# Training neural networks efficiently using Keras" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "--- \n", + "**Note about installing Keras**\n", + "\n", + "As a [kind reader pointed out](http://www.mostafaelzoghbi.com/2017/04/how-to-install-keras-on-windows-10-64.html), Keras can now be installed from conda-forge, which is a community-driven effort to make packages available to the conda manager -- if you have troubles installing Keras via `pip` (`pip install keras`). To install Keras from conda-forge, you need to specify the respective conda channel as shown below:\n", + "\n", + "```bash\n", + "conda install -c conda-forge keras=2.0.2\n", + "```\n", + "\n", + "(End of note.)\n", + "\n", + "---" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -1156,7 +1143,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 28, "metadata": { "collapsed": true }, @@ -1190,10 +1177,8 @@ }, { "cell_type": "code", - "execution_count": 34, - "metadata": { - "collapsed": false - }, + "execution_count": 29, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1204,16 +1189,14 @@ } ], "source": [ - "X_train, y_train = load_mnist('mnist', kind='train')\n", + "X_train, y_train = load_mnist('./mnist', kind='train')\n", "print('Rows: %d, columns: %d' % (X_train.shape[0], X_train.shape[1]))" ] }, { "cell_type": "code", - "execution_count": 35, - "metadata": { - "collapsed": false - }, + "execution_count": 30, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1246,9 +1229,7 @@ }, { "cell_type": "markdown", - "metadata": { - "collapsed": false - }, + "metadata": {}, "source": [ "In order to run the following code via GPU, you can execute the Python script that was placed in this directory via\n", "\n", @@ -1257,9 +1238,9 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 31, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -1279,10 +1260,8 @@ }, { "cell_type": "code", - "execution_count": 38, - "metadata": { - "collapsed": false - }, + "execution_count": 32, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1308,125 +1287,123 @@ }, { "cell_type": "code", - "execution_count": 49, - "metadata": { - "collapsed": false - }, + "execution_count": 33, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train on 54000 samples, validate on 6000 samples\n", - "Epoch 0\n", - "54000/54000 [==============================] - 1s - loss: 2.2290 - acc: 0.3592 - val_loss: 2.1094 - val_acc: 0.5342\n", - "Epoch 1\n", - "54000/54000 [==============================] - 1s - loss: 1.8850 - acc: 0.5279 - val_loss: 1.6098 - val_acc: 0.5617\n", - "Epoch 2\n", - "54000/54000 [==============================] - 1s - loss: 1.3903 - acc: 0.5884 - val_loss: 1.1666 - val_acc: 0.6707\n", - "Epoch 3\n", - "54000/54000 [==============================] - 1s - loss: 1.0592 - acc: 0.6936 - val_loss: 0.8961 - val_acc: 0.7615\n", - "Epoch 4\n", - "54000/54000 [==============================] - 1s - loss: 0.8528 - acc: 0.7666 - val_loss: 0.7288 - val_acc: 0.8290\n", - "Epoch 5\n", - "54000/54000 [==============================] - 1s - loss: 0.7187 - acc: 0.8191 - val_loss: 0.6122 - val_acc: 0.8603\n", - "Epoch 6\n", - "54000/54000 [==============================] - 1s - loss: 0.6278 - acc: 0.8426 - val_loss: 0.5347 - val_acc: 0.8762\n", - "Epoch 7\n", - "54000/54000 [==============================] - 1s - loss: 0.5592 - acc: 0.8621 - val_loss: 0.4707 - val_acc: 0.8920\n", - "Epoch 8\n", - "54000/54000 [==============================] - 1s - loss: 0.4978 - acc: 0.8751 - val_loss: 0.4288 - val_acc: 0.9033\n", - "Epoch 9\n", - "54000/54000 [==============================] - 1s - loss: 0.4583 - acc: 0.8847 - val_loss: 0.3935 - val_acc: 0.9035\n", - "Epoch 10\n", - "54000/54000 [==============================] - 1s - loss: 0.4213 - acc: 0.8911 - val_loss: 0.3553 - val_acc: 0.9088\n", - "Epoch 11\n", - "54000/54000 [==============================] - 1s - loss: 0.3972 - acc: 0.8955 - val_loss: 0.3405 - val_acc: 0.9083\n", - "Epoch 12\n", - "54000/54000 [==============================] - 1s - loss: 0.3740 - acc: 0.9022 - val_loss: 0.3251 - val_acc: 0.9170\n", - "Epoch 13\n", - "54000/54000 [==============================] - 1s - loss: 0.3611 - acc: 0.9030 - val_loss: 0.3032 - val_acc: 0.9183\n", - "Epoch 14\n", - "54000/54000 [==============================] - 1s - loss: 0.3479 - acc: 0.9064 - val_loss: 0.2972 - val_acc: 0.9248\n", - "Epoch 15\n", - "54000/54000 [==============================] - 1s - loss: 0.3309 - acc: 0.9099 - val_loss: 0.2778 - val_acc: 0.9250\n", - "Epoch 16\n", - "54000/54000 [==============================] - 1s - loss: 0.3264 - acc: 0.9103 - val_loss: 0.2838 - val_acc: 0.9208\n", - "Epoch 17\n", - "54000/54000 [==============================] - 1s - loss: 0.3136 - acc: 0.9136 - val_loss: 0.2689 - val_acc: 0.9223\n", - "Epoch 18\n", - "54000/54000 [==============================] - 1s - loss: 0.3031 - acc: 0.9156 - val_loss: 0.2634 - val_acc: 0.9313\n", - "Epoch 19\n", - "54000/54000 [==============================] - 1s - loss: 0.2988 - acc: 0.9169 - val_loss: 0.2579 - val_acc: 0.9288\n", - "Epoch 20\n", - "54000/54000 [==============================] - 1s - loss: 0.2909 - acc: 0.9180 - val_loss: 0.2494 - val_acc: 0.9310\n", - "Epoch 21\n", - "54000/54000 [==============================] - 1s - loss: 0.2848 - acc: 0.9202 - val_loss: 0.2478 - val_acc: 0.9307\n", - "Epoch 22\n", - "54000/54000 [==============================] - 1s - loss: 0.2804 - acc: 0.9194 - val_loss: 0.2423 - val_acc: 0.9343\n", - "Epoch 23\n", - "54000/54000 [==============================] - 1s - loss: 0.2728 - acc: 0.9235 - val_loss: 0.2387 - val_acc: 0.9327\n", - "Epoch 24\n", - "54000/54000 [==============================] - 1s - loss: 0.2673 - acc: 0.9241 - val_loss: 0.2265 - val_acc: 0.9385\n", - "Epoch 25\n", - "54000/54000 [==============================] - 1s - loss: 0.2611 - acc: 0.9253 - val_loss: 0.2270 - val_acc: 0.9347\n", - "Epoch 26\n", - "54000/54000 [==============================] - 1s - loss: 0.2676 - acc: 0.9225 - val_loss: 0.2210 - val_acc: 0.9367\n", - "Epoch 27\n", - "54000/54000 [==============================] - 1s - loss: 0.2528 - acc: 0.9261 - val_loss: 0.2241 - val_acc: 0.9373\n", - "Epoch 28\n", - "54000/54000 [==============================] - 1s - loss: 0.2511 - acc: 0.9264 - val_loss: 0.2170 - val_acc: 0.9403\n", - "Epoch 29\n", - "54000/54000 [==============================] - 1s - loss: 0.2433 - acc: 0.9293 - val_loss: 0.2165 - val_acc: 0.9412\n", - "Epoch 30\n", - "54000/54000 [==============================] - 1s - loss: 0.2465 - acc: 0.9279 - val_loss: 0.2135 - val_acc: 0.9367\n", - "Epoch 31\n", - "54000/54000 [==============================] - 1s - loss: 0.2383 - acc: 0.9306 - val_loss: 0.2138 - val_acc: 0.9427\n", - "Epoch 32\n", - "54000/54000 [==============================] - 1s - loss: 0.2349 - acc: 0.9310 - val_loss: 0.2066 - val_acc: 0.9423\n", - "Epoch 33\n", - "54000/54000 [==============================] - 1s - loss: 0.2301 - acc: 0.9334 - val_loss: 0.2054 - val_acc: 0.9440\n", - "Epoch 34\n", - "54000/54000 [==============================] - 1s - loss: 0.2371 - acc: 0.9317 - val_loss: 0.1991 - val_acc: 0.9480\n", - "Epoch 35\n", - "54000/54000 [==============================] - 1s - loss: 0.2256 - acc: 0.9352 - val_loss: 0.1982 - val_acc: 0.9450\n", - "Epoch 36\n", - "54000/54000 [==============================] - 1s - loss: 0.2313 - acc: 0.9323 - val_loss: 0.2092 - val_acc: 0.9403\n", - "Epoch 37\n", - "54000/54000 [==============================] - 1s - loss: 0.2230 - acc: 0.9341 - val_loss: 0.1993 - val_acc: 0.9445\n", - "Epoch 38\n", - "54000/54000 [==============================] - 1s - loss: 0.2261 - acc: 0.9336 - val_loss: 0.1891 - val_acc: 0.9463\n", - "Epoch 39\n", - "54000/54000 [==============================] - 1s - loss: 0.2166 - acc: 0.9369 - val_loss: 0.1943 - val_acc: 0.9452\n", - "Epoch 40\n", - "54000/54000 [==============================] - 1s - loss: 0.2128 - acc: 0.9370 - val_loss: 0.1952 - val_acc: 0.9435\n", - "Epoch 41\n", - "54000/54000 [==============================] - 1s - loss: 0.2200 - acc: 0.9351 - val_loss: 0.1918 - val_acc: 0.9468\n", - "Epoch 42\n", - "54000/54000 [==============================] - 2s - loss: 0.2107 - acc: 0.9383 - val_loss: 0.1831 - val_acc: 0.9483\n", - "Epoch 43\n", - "54000/54000 [==============================] - 1s - loss: 0.2020 - acc: 0.9411 - val_loss: 0.1906 - val_acc: 0.9443\n", - "Epoch 44\n", - "54000/54000 [==============================] - 1s - loss: 0.2082 - acc: 0.9388 - val_loss: 0.1838 - val_acc: 0.9457\n", - "Epoch 45\n", - "54000/54000 [==============================] - 1s - loss: 0.2048 - acc: 0.9402 - val_loss: 0.1817 - val_acc: 0.9488\n", - "Epoch 46\n", - "54000/54000 [==============================] - 1s - loss: 0.2012 - acc: 0.9417 - val_loss: 0.1876 - val_acc: 0.9480\n", - "Epoch 47\n", - "54000/54000 [==============================] - 1s - loss: 0.1996 - acc: 0.9423 - val_loss: 0.1792 - val_acc: 0.9502\n", - "Epoch 48\n", - "54000/54000 [==============================] - 1s - loss: 0.1921 - acc: 0.9430 - val_loss: 0.1791 - val_acc: 0.9505\n", - "Epoch 49\n", - "54000/54000 [==============================] - 1s - loss: 0.1907 - acc: 0.9432 - val_loss: 0.1749 - val_acc: 0.9482\n" + "Epoch 1/50\n", + "54000/54000 [==============================] - 0s - loss: 2.2244 - acc: 0.4249 - val_loss: 2.1019 - val_acc: 0.5712\n", + "Epoch 2/50\n", + "54000/54000 [==============================] - 0s - loss: 1.8746 - acc: 0.5297 - val_loss: 1.5900 - val_acc: 0.5878\n", + "Epoch 3/50\n", + "54000/54000 [==============================] - 0s - loss: 1.3850 - acc: 0.6134 - val_loss: 1.1486 - val_acc: 0.7050\n", + "Epoch 4/50\n", + "54000/54000 [==============================] - 0s - loss: 1.0424 - acc: 0.7195 - val_loss: 0.8696 - val_acc: 0.7933\n", + "Epoch 5/50\n", + "54000/54000 [==============================] - 0s - loss: 0.8236 - acc: 0.7928 - val_loss: 0.6872 - val_acc: 0.8498\n", + "Epoch 6/50\n", + "54000/54000 [==============================] - 0s - loss: 0.6819 - acc: 0.8328 - val_loss: 0.5700 - val_acc: 0.8740\n", + "Epoch 7/50\n", + "54000/54000 [==============================] - 0s - loss: 0.5867 - acc: 0.8578 - val_loss: 0.5052 - val_acc: 0.8860\n", + "Epoch 8/50\n", + "54000/54000 [==============================] - 0s - loss: 0.5203 - acc: 0.8702 - val_loss: 0.4494 - val_acc: 0.8937\n", + "Epoch 9/50\n", + "54000/54000 [==============================] - 0s - loss: 0.4751 - acc: 0.8822 - val_loss: 0.4112 - val_acc: 0.9020\n", + "Epoch 10/50\n", + "54000/54000 [==============================] - 0s - loss: 0.4382 - acc: 0.8884 - val_loss: 0.3725 - val_acc: 0.9122\n", + "Epoch 11/50\n", + "54000/54000 [==============================] - 0s - loss: 0.4086 - acc: 0.8953 - val_loss: 0.3575 - val_acc: 0.9130\n", + "Epoch 12/50\n", + "54000/54000 [==============================] - 0s - loss: 0.3889 - acc: 0.8981 - val_loss: 0.3393 - val_acc: 0.9118\n", + "Epoch 13/50\n", + "54000/54000 [==============================] - 0s - loss: 0.3724 - acc: 0.9022 - val_loss: 0.3082 - val_acc: 0.9207\n", + "Epoch 14/50\n", + "54000/54000 [==============================] - 0s - loss: 0.3490 - acc: 0.9082 - val_loss: 0.3083 - val_acc: 0.9202\n", + "Epoch 15/50\n", + "54000/54000 [==============================] - 0s - loss: 0.3361 - acc: 0.9095 - val_loss: 0.2950 - val_acc: 0.9200\n", + "Epoch 16/50\n", + "54000/54000 [==============================] - 0s - loss: 0.3279 - acc: 0.9108 - val_loss: 0.2829 - val_acc: 0.9262\n", + "Epoch 17/50\n", + "54000/54000 [==============================] - 0s - loss: 0.3210 - acc: 0.9125 - val_loss: 0.2850 - val_acc: 0.9290\n", + "Epoch 18/50\n", + "54000/54000 [==============================] - 0s - loss: 0.3067 - acc: 0.9166 - val_loss: 0.2699 - val_acc: 0.9275\n", + "Epoch 19/50\n", + "54000/54000 [==============================] - 0s - loss: 0.3006 - acc: 0.9173 - val_loss: 0.2502 - val_acc: 0.9380\n", + "Epoch 20/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2932 - acc: 0.9198 - val_loss: 0.2603 - val_acc: 0.9313\n", + "Epoch 21/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2859 - acc: 0.9201 - val_loss: 0.2457 - val_acc: 0.9325\n", + "Epoch 22/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2804 - acc: 0.9217 - val_loss: 0.2551 - val_acc: 0.9348\n", + "Epoch 23/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2735 - acc: 0.9233 - val_loss: 0.2457 - val_acc: 0.9342\n", + "Epoch 24/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2790 - acc: 0.9220 - val_loss: 0.2364 - val_acc: 0.9380\n", + "Epoch 25/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2747 - acc: 0.9227 - val_loss: 0.2361 - val_acc: 0.9345\n", + "Epoch 26/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2648 - acc: 0.9254 - val_loss: 0.2311 - val_acc: 0.9357\n", + "Epoch 27/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2627 - acc: 0.9249 - val_loss: 0.2319 - val_acc: 0.9343\n", + "Epoch 28/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2556 - acc: 0.9280 - val_loss: 0.2322 - val_acc: 0.9352\n", + "Epoch 29/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2599 - acc: 0.9264 - val_loss: 0.2249 - val_acc: 0.9410\n", + "Epoch 30/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2500 - acc: 0.9290 - val_loss: 0.2164 - val_acc: 0.9398\n", + "Epoch 31/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2460 - acc: 0.9291 - val_loss: 0.2132 - val_acc: 0.9425\n", + "Epoch 32/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2438 - acc: 0.9301 - val_loss: 0.2085 - val_acc: 0.9440\n", + "Epoch 33/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2366 - acc: 0.9323 - val_loss: 0.2104 - val_acc: 0.9437\n", + "Epoch 34/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2348 - acc: 0.9331 - val_loss: 0.2157 - val_acc: 0.9437\n", + "Epoch 35/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2333 - acc: 0.9323 - val_loss: 0.2109 - val_acc: 0.9405\n", + "Epoch 36/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2286 - acc: 0.9341 - val_loss: 0.2056 - val_acc: 0.9422\n", + "Epoch 37/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2261 - acc: 0.9353 - val_loss: 0.2144 - val_acc: 0.9448\n", + "Epoch 38/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2226 - acc: 0.9358 - val_loss: 0.2005 - val_acc: 0.9442\n", + "Epoch 39/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2192 - acc: 0.9365 - val_loss: 0.1990 - val_acc: 0.9450\n", + "Epoch 40/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2211 - acc: 0.9356 - val_loss: 0.2066 - val_acc: 0.9413\n", + "Epoch 41/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2237 - acc: 0.9356 - val_loss: 0.2165 - val_acc: 0.9380\n", + "Epoch 42/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2166 - acc: 0.9365 - val_loss: 0.1952 - val_acc: 0.9465\n", + "Epoch 43/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2109 - acc: 0.9392 - val_loss: 0.1905 - val_acc: 0.9492\n", + "Epoch 44/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2058 - acc: 0.9413 - val_loss: 0.1939 - val_acc: 0.9448\n", + "Epoch 45/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2075 - acc: 0.9398 - val_loss: 0.1934 - val_acc: 0.9448\n", + "Epoch 46/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2110 - acc: 0.9384 - val_loss: 0.1901 - val_acc: 0.9453\n", + "Epoch 47/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2048 - acc: 0.9406 - val_loss: 0.1833 - val_acc: 0.9493\n", + "Epoch 48/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2013 - acc: 0.9411 - val_loss: 0.1846 - val_acc: 0.9493\n", + "Epoch 49/50\n", + "54000/54000 [==============================] - 0s - loss: 0.2014 - acc: 0.9414 - val_loss: 0.1854 - val_acc: 0.9487\n", + "Epoch 50/50\n", + "54000/54000 [==============================] - 0s - loss: 0.1942 - acc: 0.9436 - val_loss: 0.1822 - val_acc: 0.9482\n" ] }, { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 49, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } @@ -1440,87 +1417,57 @@ "\n", "model = Sequential()\n", "model.add(Dense(input_dim=X_train.shape[1], \n", - " output_dim=50, \n", - " init='uniform', \n", + " units=50, # formerly output_dim=50 in Keras < 2\n", + " kernel_initializer='uniform', # formerly init='uniform' in Keras < 2\n", " activation='tanh'))\n", "\n", "model.add(Dense(input_dim=50, \n", - " output_dim=50, \n", - " init='uniform', \n", + " units=50, \n", + " kernel_initializer='uniform', \n", " activation='tanh'))\n", "\n", "model.add(Dense(input_dim=50, \n", - " output_dim=y_train_ohe.shape[1], \n", - " init='uniform', \n", + " units=y_train_ohe.shape[1],\n", + " kernel_initializer='uniform', \n", " activation='softmax'))\n", "\n", "sgd = SGD(lr=0.001, decay=1e-7, momentum=.9)\n", - "model.compile(loss='categorical_crossentropy', optimizer=sgd)\n", + "model.compile(loss='categorical_crossentropy', \n", + " optimizer=sgd, \n", + " metrics=['accuracy'])\n", "\n", "model.fit(X_train, y_train_ohe, \n", - " nb_epoch=50, \n", + " epochs=50, # Keras 2: former nb_epoch has been renamed to epochs\n", " batch_size=300, \n", " verbose=1, \n", - " validation_split=0.1, \n", - " show_accuracy=True)" + " validation_split=0.1) \n", + " # removed former show_accuracy=True \n", + " # and added `metrics=['accuracy']` to the\n", + " # model.compile call for Keras >= 2" ] }, { "cell_type": "code", - "execution_count": 50, - "metadata": { - "collapsed": false - }, + "execution_count": 34, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "First 3 predictions: [5 0 4]\n" + "First 3 predictions: [5 0 4]\n", + "Training accuracy: 94.43%\n", + "Test accuracy: 93.90%\n" ] } ], "source": [ "y_train_pred = model.predict_classes(X_train, verbose=0)\n", - "print('First 3 predictions: ', y_train_pred[:3])" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Training accuracy: 94.51%\n" - ] - } - ], - "source": [ + "print('First 3 predictions: ', y_train_pred[:3])\n", + "\n", "train_acc = np.sum(y_train == y_train_pred, axis=0) / X_train.shape[0]\n", - "print('Training accuracy: %.2f%%' % (train_acc * 100))" - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Test accuracy: 94.39%\n" - ] - } - ], - "source": [ + "print('Training accuracy: %.2f%%' % (train_acc * 100))\n", + "\n", "y_test_pred = model.predict_classes(X_test, verbose=0)\n", "test_acc = np.sum(y_test == y_test_pred, axis=0) / X_test.shape[0]\n", "print('Test accuracy: %.2f%%' % (test_acc * 100))" @@ -1552,6 +1499,7 @@ } ], "metadata": { + "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", @@ -1567,9 +1515,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.2" + "version": "3.6.1" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/code/datasets/iris/iris.data b/code/datasets/iris/iris.data index 5c4316cd..396653cc 100644 --- a/code/datasets/iris/iris.data +++ b/code/datasets/iris/iris.data @@ -147,5 +147,4 @@ 6.3,2.5,5.0,1.9,Iris-virginica 6.5,3.0,5.2,2.0,Iris-virginica 6.2,3.4,5.4,2.3,Iris-virginica -5.9,3.0,5.1,1.8,Iris-virginica - +5.9,3.0,5.1,1.8,Iris-virginica \ No newline at end of file diff --git a/code/datasets/iris/iris.names.txt b/code/datasets/iris/iris.names.txt deleted file mode 100644 index 062b486d..00000000 --- a/code/datasets/iris/iris.names.txt +++ /dev/null @@ -1,69 +0,0 @@ -1. Title: Iris Plants Database - Updated Sept 21 by C.Blake - Added discrepency information - -2. Sources: - (a) Creator: R.A. Fisher - (b) Donor: Michael Marshall (MARSHALL%PLU@io.arc.nasa.gov) - (c) Date: July, 1988 - -3. Past Usage: - - Publications: too many to mention!!! Here are a few. - 1. Fisher,R.A. "The use of multiple measurements in taxonomic problems" - Annual Eugenics, 7, Part II, 179-188 (1936); also in "Contributions - to Mathematical Statistics" (John Wiley, NY, 1950). - 2. Duda,R.O., & Hart,P.E. (1973) Pattern Classification and Scene Analysis. - (Q327.D83) John Wiley & Sons. ISBN 0-471-22361-1. See page 218. - 3. Dasarathy, B.V. (1980) "Nosing Around the Neighborhood: A New System - Structure and Classification Rule for Recognition in Partially Exposed - Environments". IEEE Transactions on Pattern Analysis and Machine - Intelligence, Vol. PAMI-2, No. 1, 67-71. - -- Results: - -- very low misclassification rates (0% for the setosa class) - 4. Gates, G.W. (1972) "The Reduced Nearest Neighbor Rule". IEEE - Transactions on Information Theory, May 1972, 431-433. - -- Results: - -- very low misclassification rates again - 5. See also: 1988 MLC Proceedings, 54-64. Cheeseman et al's AUTOCLASS II - conceptual clustering system finds 3 classes in the data. - -4. Relevant Information: - --- This is perhaps the best known database to be found in the pattern - recognition literature. Fisher's paper is a classic in the field - and is referenced frequently to this day. (See Duda & Hart, for - example.) The data set contains 3 classes of 50 instances each, - where each class refers to a type of iris plant. One class is - linearly separable from the other 2; the latter are NOT linearly - separable from each other. - --- Predicted attribute: class of iris plant. - --- This is an exceedingly simple domain. - --- This data differs from the data presented in Fishers article - (identified by Steve Chadwick, spchadwick@espeedaz.net ) - The 35th sample should be: 4.9,3.1,1.5,0.2,"Iris-setosa" - where the error is in the fourth feature. - The 38th sample: 4.9,3.6,1.4,0.1,"Iris-setosa" - where the errors are in the second and third features. - -5. Number of Instances: 150 (50 in each of three classes) - -6. Number of Attributes: 4 numeric, predictive attributes and the class - -7. Attribute Information: - 1. sepal length in cm - 2. sepal width in cm - 3. petal length in cm - 4. petal width in cm - 5. class: - -- Iris Setosa - -- Iris Versicolour - -- Iris Virginica - -8. Missing Attribute Values: None - -Summary Statistics: - Min Max Mean SD Class Correlation - sepal length: 4.3 7.9 5.84 0.83 0.7826 - sepal width: 2.0 4.4 3.05 0.43 -0.4194 - petal length: 1.0 6.9 3.76 1.76 0.9490 (high!) - petal width: 0.1 2.5 1.20 0.76 0.9565 (high!) - -9. Class Distribution: 33.3% for each of 3 classes. diff --git a/code/optional-py-scripts/ch03.py b/code/optional-py-scripts/ch03.py index 360d1747..3edd740c 100644 --- a/code/optional-py-scripts/ch03.py +++ b/code/optional-py-scripts/ch03.py @@ -20,9 +20,10 @@ from sklearn.tree import DecisionTreeClassifier from sklearn.ensemble import RandomForestClassifier from sklearn.neighbors import KNeighborsClassifier -from sklearn.tree import export_graphviz +# from sklearn.tree import export_graphviz from matplotlib.colors import ListedColormap import matplotlib.pyplot as plt +import warnings # for sklearn 0.18's alternative syntax from distutils.version import LooseVersion as Version @@ -108,6 +109,7 @@ def plot_decision_regions(X, y, classifier, test_idx=None, resolution=0.02): marker='o', s=55, label='test set') + X_combined_std = np.vstack((X_train_std, X_test_std)) y_combined = np.hstack((y_train, y_test)) @@ -130,6 +132,7 @@ def plot_decision_regions(X, y, classifier, test_idx=None, resolution=0.02): def sigmoid(z): return 1.0 / (1.0 + np.exp(-z)) + z = np.arange(-7, 7, 0.1) phi_z = sigmoid(z) @@ -161,6 +164,7 @@ def cost_1(z): def cost_0(z): return - np.log(1 - sigmoid(z)) + z = np.arange(-10, 10, 0.1) phi_z = sigmoid(z) @@ -207,7 +211,7 @@ def cost_0(z): print(50 * '-') weights, params = [], [] -for c in np.arange(-5, 5): +for c in np.arange(-5.0, 5.0): lr = LogisticRegression(C=10**c, random_state=0) lr.fit(X_train_std, y_train) weights.append(lr.coef_[1]) @@ -331,6 +335,7 @@ def entropy(p): def error(p): return 1 - np.max([p, 1 - p]) + x = np.arange(0.0, 1.0, 0.01) ent = [entropy(p) if p != 0 else None for p in x] diff --git a/code/optional-py-scripts/ch04.py b/code/optional-py-scripts/ch04.py index 65ba49e9..68e75873 100644 --- a/code/optional-py-scripts/ch04.py +++ b/code/optional-py-scripts/ch04.py @@ -239,7 +239,7 @@ 'gray', 'indigo', 'orange'] weights, params = [], [] -for c in np.arange(-4, 6): +for c in np.arange(-4.0, 6.0): lr = LogisticRegression(penalty='l1', C=10**c, random_state=0) lr.fit(X_train_std, y_train) weights.append(lr.coef_[1]) diff --git a/code/optional-py-scripts/ch05.py b/code/optional-py-scripts/ch05.py index e1ae554b..215b0150 100644 --- a/code/optional-py-scripts/ch05.py +++ b/code/optional-py-scripts/ch05.py @@ -17,7 +17,7 @@ import matplotlib.pyplot as plt from matplotlib.colors import ListedColormap from sklearn.linear_model import LogisticRegression -from sklearn.lda import LDA +from sklearn.discriminant_analysis import LinearDiscriminantAnalysis as LDA from sklearn.datasets import make_moons from sklearn.datasets import make_circles from sklearn.decomposition import KernelPCA @@ -175,6 +175,7 @@ def plot_decision_regions(X, y, classifier, resolution=0.02): alpha=0.8, c=cmap(idx), marker=markers[idx], label=cl) + lr = LogisticRegression() lr = lr.fit(X_train_pca, y_train) @@ -596,6 +597,7 @@ def project_x(x_new, X, gamma, alphas, lambdas): k = np.exp(-gamma * pair_dist) return k.dot(alphas / lambdas) + # projection of the "new" datapoint x_reproj = project_x(x_new, X, gamma=15, alphas=alphas, lambdas=lambdas) print('Reprojection x_reproj:', x_reproj) diff --git a/code/optional-py-scripts/ch08.py b/code/optional-py-scripts/ch08.py index 4f1a0c05..c50145c5 100644 --- a/code/optional-py-scripts/ch08.py +++ b/code/optional-py-scripts/ch08.py @@ -127,6 +127,7 @@ def preprocessor(text): ' '.join(emoticons).replace('-', '') return text + print('Preprocessor on Excerpt:\n\n', preprocessor(df.loc[0, 'review'][-50:])) res = preprocessor("This :) is :( a test :-)!") @@ -246,6 +247,7 @@ def stream_docs(path): text, label = line[:-3], int(line[-2]) yield text, label + next(stream_docs(path='./movie_data.csv')) diff --git a/code/optional-py-scripts/ch10.py b/code/optional-py-scripts/ch10.py index f2306118..17e8eb98 100644 --- a/code/optional-py-scripts/ch10.py +++ b/code/optional-py-scripts/ch10.py @@ -139,6 +139,7 @@ def lin_regplot(X, y, model): plt.plot(X, model.predict(X), color='red', linewidth=2) return + lin_regplot(X_std, y_std, lr) plt.xlabel('Average number of rooms [RM] (standardized)') plt.ylabel('Price in $1000\'s [MEDV] (standardized)') @@ -196,7 +197,8 @@ def lin_regplot(X, y, model): ransac = RANSACRegressor(LinearRegression(), max_trials=100, min_samples=50, - residual_metric=lambda x: np.sum(np.abs(x), axis=1), + residual_metric=lambda x: np.sum( + np.abs(x), axis=1), residual_threshold=5.0, random_state=0) else: diff --git a/code/optional-py-scripts/ch13.py b/code/optional-py-scripts/ch13.py index a28eebc0..57941805 100644 --- a/code/optional-py-scripts/ch13.py +++ b/code/optional-py-scripts/ch13.py @@ -188,6 +188,7 @@ def predict_linreg(X, w): predict = theano.function(inputs=[Xt], givens={w: w}, outputs=net_input) return predict(X) + plt.scatter(X_train, y_train, marker='s', s=50) plt.plot(range(X_train.shape[0]), predict_linreg(X_train, w), @@ -229,6 +230,7 @@ def logistic_activation(X, w): z = net_input(X, w) return logistic(z) + print('P(y=1|x) = %.3f' % logistic_activation(X, w)[0]) @@ -274,6 +276,7 @@ def softmax_activation(X, w): z = net_input(X, w) return softmax(z) + y_probas = softmax(Z) print('Probabilities:\n', y_probas) @@ -294,6 +297,7 @@ def tanh(z): e_m = np.exp(-z) return (e_p - e_m) / (e_p + e_m) + z = np.arange(-5, 5, 0.005) log_act = logistic(z) tanh_act = tanh(z) @@ -359,6 +363,7 @@ def load_mnist(path, kind='train'): return images, labels + X_train, y_train = load_mnist('mnist', kind='train') print('Training rows: %d, columns: %d' % (X_train.shape[0], X_train.shape[1])) diff --git a/docs/errata.md b/docs/errata.md index 283bde59..ff4ce1bb 100644 --- a/docs/errata.md +++ b/docs/errata.md @@ -18,7 +18,7 @@ I would be happy if you just write me a short [mail](mailto:mail@sebastianraschk ## Donations -- Current amount for the next donation: $5.00 +- Current amount for the next donation: $7.00 - Amount donated to charity: - [$39.00 2016-04-07](./2016-04-07-unicef.pdf) - [$76.00 2016-03-03](./2016-03-03-unicef.pdf) @@ -47,6 +47,7 @@ I would be happy if you just write me a short [mail](mailto:mail@sebastianraschk 19. F. Liu ($2.00) 20. Stefan P. ($2.00) 32. Adam S. ($2.00) +33. Harry Hummel ($2.00) 11. Elias R. ($1.00) 12. Haitham H. Saleh ($1.00) 13. Muqueet M. ($1.00) @@ -71,6 +72,7 @@ I would be happy if you just write me a short [mail](mailto:mail@sebastianraschk + ... # Errata diff --git a/docs/references.md b/docs/references.md index 3ddbd28e..92985d15 100644 --- a/docs/references.md +++ b/docs/references.md @@ -26,6 +26,8 @@ A BibTeX version for your favorite reference manager is available [here](./pymle ##### Additional Resources & Further Reading +- [Python Tutorial](https://www.scaler.com/topics/python) +

diff --git a/faq/ai-and-ml.md b/faq/ai-and-ml.md index fe2129d7..2676683c 100644 --- a/faq/ai-and-ml.md +++ b/faq/ai-and-ml.md @@ -1,6 +1,6 @@ # How are Artificial Intelligence and Machine Learning related? -Artifical Intellicence (AI) started as a subfield of computer science with the focus on solving tasks that humans can but computers can't do (for instance, image recognition). AI can be approached in many ways, for example, writing a computer program that implements a set of rules devised by domain experts. Now, hand-crafting rules can be very labrorious and time consuming. +Artifical Intellicence (AI) started as a subfield of computer science with the focus on solving tasks that humans can but computers can't do (for instance, image recognition). AI can be approached in many ways, for example, writing a computer program that implements a set of rules devised by domain experts. Now, hand-crafting rules can be very laborious and time consuming. The field of machine learning -- originally, we can consider it as a subfield of AI -- was concerned with the development of algorithms so that computers can automatically learn (predictive) models from data. diff --git a/faq/clf-behavior-data.md b/faq/clf-behavior-data.md index 290fa899..03f93963 100644 --- a/faq/clf-behavior-data.md +++ b/faq/clf-behavior-data.md @@ -4,7 +4,7 @@ The visualization part is a bit tricky since we as humans are limited to 1-3 D g ![](./clf-behavior-data/iris.png) -(I've implemented this simple function here if you are interested: [mlxtend plot_decision_regions](http://rasbt.github.io/mlxtend/user_guide/evaluate/plot_decision_regions/).) +(I've implemented this simple function here if you are interested: [mlxtend plot_decision_regions](http://rasbt.github.io/mlxtend/user_guide/plotting/plot_decision_regions/).) Other than that, I think that synthetic datasets like "XOR," "half-moons," or concentric circles would be good candidates for evaluating classifier on non-linear problems:
diff --git a/faq/diff-perceptron-adaline-neuralnet.md b/faq/diff-perceptron-adaline-neuralnet.md index fd193a29..d2e3c148 100644 --- a/faq/diff-perceptron-adaline-neuralnet.md +++ b/faq/diff-perceptron-adaline-neuralnet.md @@ -71,7 +71,7 @@ Let me show you an example :) Here's the Python code if you want to reproduce these plots: ```Python -from mlxtend.evaluate import plot_decision_regions +from mlxtend.plotting import plot_decision_regions from mlxtend.classifier import Perceptron from mlxtend.classifier import Adaline from mlxtend.classifier import MultiLayerPerceptron diff --git a/faq/difference-deep-and-normal-learning.md b/faq/difference-deep-and-normal-learning.md index c0b3e942..517a321a 100644 --- a/faq/difference-deep-and-normal-learning.md +++ b/faq/difference-deep-and-normal-learning.md @@ -19,7 +19,7 @@ Now, if we add multiple hidden layers to this MLP, we'd also call the network "d **Deep Learning** -Now, this is where "deep learning" comes into play. Roughly speaking, we can think of deep learning as "clever" tricks or algorithms that can help us with the training of such "deep" neural network structures. There are many, many different neural network architectures, but to continue with the example of the MLP, let me introduce the idea of convolutional neural networks (ConvNets). We can think of those as an "add-on" to our MLP that helps we to detect features as "good" inputs for our MLP. +Now, this is where "deep learning" comes into play. Roughly speaking, we can think of deep learning as "clever" tricks or algorithms that can help us with the training of such "deep" neural network structures. There are many, many different neural network architectures, but to continue with the example of the MLP, let me introduce the idea of convolutional neural networks (ConvNets). We can think of those as an "add-on" to our MLP that helps us to detect features as "good" inputs for our MLP. In applications of "usual" machine learning, there is typically a strong focus on the feature engineering part; the model learned by an algorithm can only be so good as its input data. Of course, there must be sufficient discriminatory information in our dataset, however, the performance of machine learning algorithms can suffer substantially when the information is buried in meaningless features. The goal behind deep learning is to automatically learn the features from (somewhat) noisy data; it's about algorithms that do the feature engineering for us to provide deep neural network structures with meaningful information so that it can learn more effectively. **We can think of deep learning as algorithms for automatic "feature engineering," or we could simply call them "feature detectors," which help us to overcome the vanishing gradient challenge and facilitate the learning in neural networks with many layers.** diff --git a/faq/evaluate-a-model/evaluate_overview.eps b/faq/evaluate-a-model/evaluate_overview.eps new file mode 100644 index 00000000..35250e50 --- /dev/null +++ b/faq/evaluate-a-model/evaluate_overview.eps @@ -0,0 +1,8117 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%HiResBoundingBox: 0 0 720 540 +%%BoundingBox: 0 0 720 540 +%%Creator: Serif Affinity +%LanguageLevel: 3 +%%DocumentData: Clean7Bit +%ADO_ContainsXMP: MainFirst +%%EndComments +%%BeginProlog +101 dict begin +/m/moveto 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files /dev/null and b/faq/evaluate-a-model/evaluate_overview.pdf differ diff --git a/faq/linear-gradient-derivative/23.png b/faq/linear-gradient-derivative/23.png index 380588c9..25c38b72 100644 Binary files a/faq/linear-gradient-derivative/23.png and b/faq/linear-gradient-derivative/23.png differ diff --git a/faq/naive-bayes-vartypes.md b/faq/naive-bayes-vartypes.md index c64faab5..201eff3f 100644 --- a/faq/naive-bayes-vartypes.md +++ b/faq/naive-bayes-vartypes.md @@ -42,7 +42,7 @@ To come back to the original question, let us consider the multi-variate Bernoul We use the Bernoulli distribution to compute the likelihood of a binary variable. -For example, we could estimate P(xk=1 | ωj) via MLE as the frequency of occurences in the training set: +For example, we could estimate P(xk=1 | ωj) via MLE as the frequency of occurrences in the training set: θ = P̂(xk=1 | ωj) = Nxk, ωj / N ωj which reads "number of training samples in class ωj that have the property xk=1 (Nxk, ωj) divided by by all training samples in ωj (N ωj)." In context of text classification, this is basically the set of documents in class ωj that contain a particular word divided by all documents in ωj. Now, we can compute the likelihood of the binary feature vector **x** given class ωj as diff --git a/faq/scale-training-test.md b/faq/scale-training-test.md index 29b8f707..970b83e9 100644 --- a/faq/scale-training-test.md +++ b/faq/scale-training-test.md @@ -59,7 +59,7 @@ Now, let's say our model has learned the following hypotheses: It classifies sam - sample5: 6 cm -> class ? - sample6: 7 cm -> class ? -If we look at the "unstandardized “length in cm" values in our training datast, it is intuitive to say that all of these samples are likely belonging to class 2. However, if we standardize these by re-computing the *standard deviation* and and *mean* from the new data, we would get similar values as before (i.e., properties of a standard normal distribtion) in the training set and our classifier would (probably incorrectly) assign the “class 2” label to the samples 4 and 5. +If we look at the "unstandardized “length in cm" values in our training dataset, it is intuitive to say that all of these samples are likely belonging to class 2. However, if we standardize these by re-computing the *standard deviation* and and *mean* from the new data, we would get similar values as before (i.e., properties of a standard normal distribution) in the training set and our classifier would (probably incorrectly) assign the “class 2” label to the samples 4 and 5. - sample5: -1.21 -> class 2 - sample6: 0 -> class 2 diff --git a/faq/tensorflow-vs-scikitlearn.md b/faq/tensorflow-vs-scikitlearn.md index 38e2a9dd..57cae08d 100644 --- a/faq/tensorflow-vs-scikitlearn.md +++ b/faq/tensorflow-vs-scikitlearn.md @@ -37,7 +37,7 @@ lr.fit(X, y) In addition, I have a little helper function to plot the 2D decision surface: ```python -from mlxtend.evaluate import plot_decision_regions +from mlxtend.plotting import plot_decision_regions plot_decision_regions(X, y, clf=lr) plt.title('Softmax Regression in scikit-learn') @@ -131,7 +131,7 @@ plt.show() ```python -from mlxtend.evaluate import plot_decision_regions +from mlxtend.plotting import plot_decision_regions plot_decision_regions(X, y, clf=lr) plt.title('Softmax Regression via Gradient Descent in TensorFlow') @@ -139,3 +139,7 @@ plt.show() ``` ![](./tensorflow-vs-scikitlearn/tf_softmax.png) + +**Note** + +I've removed the TensorFlow code from mlxtend because it became pretty inconvenient to maintain. The original code should still be available through GitHub. E.g., if you install mlxtend 0.5.1, (`pip install mlxtend=0.5.1`) or browse through the files here: https://github.com/rasbt/mlxtend/tree/86e40d5af5222d78acf219cc8188cfd28a972d9e/mlxtend/tf_classifier diff --git a/faq/underscore-convention.md b/faq/underscore-convention.md index 01307e04..35937b44 100644 --- a/faq/underscore-convention.md +++ b/faq/underscore-convention.md @@ -18,14 +18,15 @@ instead of def sigmoid(self, z): return 1.0 / (1.0 + np.exp(-z)) -The short answer is, the trailing underscore (`self.gamma_`) in class attributes is a scikit-learn convention to denote "estimated" or "fitted" attributes. The leading underscores are (`_sigmoid(self, z)`) denote private methods that the user shouldn't bother with. +The short answer is, the trailing underscore (`self.gamma_`) in class attributes is a scikit-learn convention to denote "estimated" or "fitted" attributes. +The leading underscores are (`_sigmoid(self, z)`) denote private methods that the user should not bother with. In brief: As a reader, you can safely ignore those underscores, however, if you are curious about their intention, please read on! ## Leading underscores in class methods -The usage of underscores for naming class methods is a common Python convention to distinguish between private and public methods. Basically, you don't want the user to worry about these private methods, which is why they don't appear in the help menu. +The usage of underscores for naming class methods is a common Python convention to distinguish between private and public methods. Basically, you do not want the user to worry about these private methods, which is why they do not appear in the help menu. class MyClass(object): def __init__(self, param='some_value'): @@ -67,7 +68,7 @@ The usage of underscores for naming class methods is a common Python convention * Note that `__init__` is an exception, `__init__` is a special method that is required to initialize a class. -Let’s initialize a new object and call this “public” class: +Let us initialize a new object and call this "public" class: >>> MyObj = MyClass() >>> MyObj.public() @@ -81,7 +82,7 @@ The single underscore in `_indicate_private` indicates privacy. Typically, priva - Please keep in mind that calling private methods is at your own risk; the developers usually take no responsibilities for odd things that may happen if you call private methods as a user. -The indication of “privacy” is a bit stronger if we use 2 preceding underscores, for example, calling the `__pseudo_private` method directly like a regular method doesn’t work anymore: +The indication of "privacy" is a bit stronger if we use 2 preceding underscores, for example, calling the `__pseudo_private` method directly like a regular method does not work anymore: >>> MyObj.__pseudo_private() --------------------------------------------------------------------------- @@ -91,7 +92,7 @@ The indication of “privacy” is a bit stronger if we use 2 preceding undersco AttributeError: 'MyClass' object has no attribute '__pseudo_private' -To call the a private methods that is prefaced with 2 underscores, we need to adhere to the “name mangling” rules; that is, we need to add a `_classname` prefix, to call the method, for example, +To call the a private methods that is prefaced with 2 underscores, we need to adhere to the "name mangling" rules; that is, we need to add a `_classname` prefix, to call the method, for example, >>> MyObj._MyClass__pseudo_private() 'really private method' @@ -100,16 +101,16 @@ To call the a private methods that is prefaced with 2 underscores, we need to ad ## Class attributes with trailing underscores -In contrast to the leading underscore, the trailing underscores in class attributes don't any "technical" effects. In fact, this is just a convention that I adopted from scikit-learn out of habit. +In contrast to the leading underscore, the trailing underscores in class attributes do not have any "technical" effects. In fact, this is just a convention that I adopted from scikit-learn out of habit. Here are two excerpts from the scikit-learn [developer/contributor documentation](http://scikit-learn.org/stable/developers/): -> Attributes that have been estimated from the data must always have a name ending with trailing underscore, for example, the coefficients of some regression estimator would be stored in a coef_ attribute after fit has been called. +> Attributes that have been estimated from the data must always have a name ending with trailing underscore `_`, for example, the coefficients of some regression estimator would be stored in a `coef_` attribute after `fit()` has been called. -> Also it is expected that parameters with trailing _ are not to be set inside the ``__init__`` method. All and only the public attributes set by fit have a trailing _. As a result the existence of parameters with trailing _ is used to check if the estimator has been fitted. +> Also it is expected that parameters with trailing underscore `_` are not to be set inside the ``__init__`` method. All and only the public attributes set by `fit()` have a trailing `_`. As a result the existence of parameters with trailing `_` is used to check if the estimator has been fitted. -To see it in action, let's create a primitive `Estimator`: +To see it in action, let us create a primitive `Estimator`: class MyEstimator(): def __init__(self): @@ -118,7 +119,7 @@ To see it in action, let's create a primitive `Estimator`: def fit(self): self.fit_param_ = 0.1 -Intuitively, attributes that are in `__init__` are accessible after we initialized a new object +Intuitively, attributes that are in `__init__` are accessible after we initialized a new object: >>> est = MyEstimator() >>> est.param diff --git a/images/CRBadgeNotableBook.jpg b/images/CRBadgeNotableBook.jpg new file mode 100644 index 00000000..bd4adfaa Binary files /dev/null and b/images/CRBadgeNotableBook.jpg differ diff --git a/images/pymle-cover_cn_mainland.jpg b/images/pymle-cover_cn_mainland.jpg new file mode 100644 index 00000000..1cc51ea1 Binary files /dev/null and b/images/pymle-cover_cn_mainland.jpg differ diff --git a/images/pymle-cover_pl.jpg b/images/pymle-cover_pl.jpg new file mode 100644 index 00000000..859f5436 Binary files /dev/null and b/images/pymle-cover_pl.jpg differ diff --git a/images/pymle-cover_ru.jpg b/images/pymle-cover_ru.jpg new file mode 100644 index 00000000..7c29d3bd Binary files /dev/null and b/images/pymle-cover_ru.jpg differ