From da638e55e4571f81e9ac0d633e84e4b31f0cea1e Mon Sep 17 00:00:00 2001 From: Aurelien Geron Date: Tue, 27 Sep 2016 23:31:21 +0200 Subject: [PATCH] Add notebooks for chapters 5 to 14 --- .gitignore | 11 +- ...=> 01_the_machine_learning_landscape.ipynb | 2 +- ..._end_to_end_machine_learning_project.ipynb | 2 +- ...s.ipynb => 04_training_linear_models.ipynb | 0 05_support_vector_machines.ipynb | 1749 +++++++++++++ 06_decision_trees.ipynb | 686 +++++ 07_ensemble_learning_and_random_forests.ipynb | 1101 ++++++++ 08_dimensionality_reduction.ipynb | 1906 ++++++++++++++ 09_up_and_running_with_tensorflow.ipynb | 2234 +++++++++++++++++ ...uction_to_artificial_neural_networks.ipynb | 908 +++++++ 11_deep_learning.ipynb | 1311 ++++++++++ 12_distributed_tensorflow.ipynb | 556 ++++ 13_convolutional_neural_networks.ipynb | 848 +++++++ 14_recurrent_neural_networks.ipynb | 2010 +++++++++++++++ classification.ipynb | 146 +- images/ann/README | 1 + images/autoencoders/README | 1 + images/cnn/README | 1 + images/cnn/test_image.png | Bin 0 -> 181822 bytes images/decision_trees/README | 1 + images/deep/README | 1 + images/dim_reduction/README | 1 + images/distributed/README | 1 + images/ensembles/README | 1 + images/rl/README | 1 + images/rnn/README | 1 + images/svm/README | 1 + images/tensorflow/README | 1 + index.ipynb | 45 +- nets/inception_v3.py | 10 +- 30 files changed, 13470 insertions(+), 67 deletions(-) rename fundamentals.ipynb => 01_the_machine_learning_landscape.ipynb (99%) rename end_to_end_project.ipynb => 02_end_to_end_machine_learning_project.ipynb (99%) rename training_linear_models.ipynb => 04_training_linear_models.ipynb (100%) create mode 100644 05_support_vector_machines.ipynb create mode 100644 06_decision_trees.ipynb create mode 100644 07_ensemble_learning_and_random_forests.ipynb create mode 100644 08_dimensionality_reduction.ipynb create mode 100644 09_up_and_running_with_tensorflow.ipynb create mode 100644 10_introduction_to_artificial_neural_networks.ipynb create mode 100644 11_deep_learning.ipynb create mode 100644 12_distributed_tensorflow.ipynb create mode 100644 13_convolutional_neural_networks.ipynb create mode 100644 14_recurrent_neural_networks.ipynb create mode 100644 images/ann/README create mode 100644 images/autoencoders/README create mode 100644 images/cnn/README create mode 100644 images/cnn/test_image.png create mode 100644 images/decision_trees/README create mode 100644 images/deep/README create mode 100644 images/dim_reduction/README create mode 100644 images/distributed/README create mode 100644 images/ensembles/README create mode 100644 images/rl/README create mode 100644 images/rnn/README create mode 100644 images/svm/README create mode 100644 images/tensorflow/README diff --git a/.gitignore b/.gitignore index a5684d808..89c71624e 100644 --- a/.gitignore +++ b/.gitignore @@ -1,5 +1,10 @@ -.ipynb_checkpoints +*.bak +*.ckpt +*.pyc .DS_Store -my_* +.ipynb_checkpoints +checkpoint +logs/* +tf_logs/* images/**/*.png -*.pyc +my_* diff --git a/fundamentals.ipynb b/01_the_machine_learning_landscape.ipynb similarity index 99% rename from fundamentals.ipynb rename to 01_the_machine_learning_landscape.ipynb index f872ce813..8e1e24974 100644 --- a/fundamentals.ipynb +++ b/01_the_machine_learning_landscape.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "**Chapter 1 – Fundamentals of Machine Learning**\n", + "**Chapter 1 – The Machine Learning landscape**\n", "\n", "_This is the code used to generate some of the figures in chapter 1._" ] diff --git a/end_to_end_project.ipynb b/02_end_to_end_machine_learning_project.ipynb similarity index 99% rename from end_to_end_project.ipynb rename to 02_end_to_end_machine_learning_project.ipynb index 5d0ed0dc1..d443010a4 100644 --- a/end_to_end_project.ipynb +++ b/02_end_to_end_machine_learning_project.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "**Chapter 2 – End to end Machine Learning project**\n", + "**Chapter 2 – End-to-end Machine Learning project**\n", "\n", "*Welcome to Machine Learning Housing Corp.! Your task is to predict median house values in Californian districts, given a number of features from these districts.*\n", "\n", diff --git a/training_linear_models.ipynb b/04_training_linear_models.ipynb similarity index 100% rename from training_linear_models.ipynb rename to 04_training_linear_models.ipynb diff --git a/05_support_vector_machines.ipynb b/05_support_vector_machines.ipynb new file mode 100644 index 000000000..9953bf5fb --- /dev/null +++ b/05_support_vector_machines.ipynb @@ -0,0 +1,1749 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Chapter 5 – Support Vector Machines**\n", + "\n", + "_This notebook contains all the sample code and solutions to the exercices in chapter 5._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# To support both python 2 and python 3\n", + "from __future__ import division, print_function, unicode_literals\n", + "\n", + "# Common imports\n", + "import numpy as np\n", + "import numpy.random as rnd\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "rnd.seed(42)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "\n", + "# Where to save the figures\n", + "PROJECT_ROOT_DIR = \".\"\n", + "CHAPTER_ID = \"svm\"\n", + "\n", + "def save_fig(fig_id, tight_layout=True):\n", + " path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n", + " print(\"Saving figure\", fig_id)\n", + " if tight_layout:\n", + " plt.tight_layout()\n", + " plt.savefig(path, format='png', dpi=300)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Large margin classification" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "SVC(C=inf, cache_size=200, class_weight=None, coef0=0.0,\n", + " decision_function_shape=None, degree=3, gamma='auto', kernel='linear',\n", + " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False)" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.svm import SVC\n", + "from sklearn import datasets\n", + "\n", + "iris = datasets.load_iris()\n", + "X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n", + "y = iris[\"target\"]\n", + "\n", + "setosa_or_versicolour = (y == 0) | (y == 1)\n", + "X = X[setosa_or_versicolour]\n", + "y = y[setosa_or_versicolour]\n", + "\n", + "# SVM Classifier model\n", + "svm_clf = SVC(kernel=\"linear\", C=float(\"inf\"))\n", + "svm_clf.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure large_margin_classification_plot\n" + ] + }, + { + "data": { + "image/png": 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pdPKQyJqJEydqQJcrV06HhoYaHY7J9OnTRwO6YcOGeTqnZUZsbKxu0aKFBnT3\n7t2NDifPy0u/hyUHZU9aOSij61YU/y6tSMoDCM/gGHnO/PkB9Ox5FgeH+O8dHKBnz7PMnx+QJ8ZL\nysHBgeXLl1OjRg28vLyS7b969SoxMTF07dqVsmXLUqNGDfr06ZPmp0mLFi1i//79FC5cmHr16jFw\n4EC2bt2auD8iIoJZs2axZMkSWrVqRbly5ejZsyf9+vVLXHv9ePxChQpRtGjRxCWMM2bMYOjQofTo\n0QNPT0/Gjx+Pr68vn332GQAXL16kZMmStGrVitKlS1O3bl3eeeedxOd+6aWX6NKlCxUrVsTb25ul\nS5dy/vx5Dhw4kO33UmRfTFgMRzoc4fb/bmNTyIZa22rh1jR7y1eFECKp4cOHU7duXf755x+LWVoH\nMHPmTEqXLs2BAweYMWOG0eGYhJWVFUuXLsXJyYnvv/+e779P6dpKQuQvaRZZSqmflFI/EV9gffP4\n+4TbBmAL8EduBJoToqKuJBZEjzk4QFRU1i4HZurxkvL29sbGJvVT6GrVqkXLli3x8vKiW7duLFiw\ngFu3bgFw6dIlnJ2dcXZ2xsXFhWnTpgHg6+vLuXPn2L59Oz169OD06dO0bt2aAQMGAHDs2DGioqJo\n27Zt4uOdnZ1ZsGAB586dSzWWBw8ecPXqVZ599tkntjdt2pRjx44B0L17dyIjIylfvjz9+vXjhx9+\n4NGjR4nHnjt3jldffRVPT09cXV0pXrw4WmsuXryYtTdQmEz0vWiC2gRxb9s9bIvZUntnbVzquxgd\nlhDCwtja2rJixQpsbW05ffr0EznCnLm6urJkyRIAxowZk5gXzV358uX59NNPATh69KjB0QhhvPSu\nk3U74asC7gKRSfY9AnYDi3Mgrlxhb1+KyEieKIwiI8HevmSeGC8pR0fHNPdbWVmxefNm9u/fz+bN\nm1m6dCkjR47k999/x8vLi8DAwMRjCxX695wZa2trmjRpQpMmTRg2bBiTJ09mzJgxjBw5kri4OAB+\n/vlnypQp88TzZfUihI+bZJQuXZpTp06xbds2tm7dypAhQxg/fjwHDhzAwcGB9u3bU7ZsWRYtWkSp\nUqWwsbGhevXqFpNkzdWjW48IahNE2KEwCpQpQK1ttShYuaDRYeV5J2+dpKJ7RWyt5eKdQmRGzZo1\n2bdvH7Vr18bKKuNNY/K6Nm3a0LdvX5YuXYq/vz9//PFHmh+kmou33nqLBg0aUK9ePaNDEcJwaf7G\n0lr31lpqWW9wAAAgAElEQVT3BsYDfR9/n3B7S2s9VWt9K3dCNb0BAyayenUlIhNKx8hIWL26EgMG\nTMwT42VFo0aNCAgI4ODBg5QsWZI1a9ZgZWVFxYoVE29pdSV8fBJuWFgYNWrUoECBAly4cOGJx1es\nWDGx6LKzswN4oh2ts7MzJUuWZM+ePU+MvXv3bmrUqJH4vZ2dHe3atWPGjBkcOHCA4OBg9uzZw507\ndzh58iSjRo2iRYsWVK1alfv37xMT80TfFZHLHl57yOFmhwk7FIaDpwN1dtWRAisDHsY8pOb8mrhP\ndycyOjL9BwghnlC3bl2LKrAemzFjBqVLl+bgwYOJS+nNnVJKCiwhEmToYxOtda5e7TG3lC9fgfHj\ntyR0A7yKvX1Jxo/PendBU4+XGfv372fr1q20adOGYsWKcejQIS5fvpzi+VuPNW/enFdeeYX69evj\n4eFBcHAwH3/8MdWrV6d69eoopRgyZAhDhgwhLi6O5557jrCwMPbt24e1tTX9+vWjaNGiODg4sGnT\nJsqVK4e9vT0uLi4MHTqUsWPH4unpSb169fj666/ZvXs3f//9NwBfffUVMTExNGrUCCcnJ1avXo2d\nnR1VqlTB3d2dwoULs3jxYkqXLs3ly5cZNmxYlmfPRPZF/RPF4ZaHiTobRUGvgtTaUosCJQoYHVaW\n5USr29QEXg8kOi6ayh6VcbB1SLY/qy1r03oNISGpj5mbr10IkbrHywbbtm3L2LFj6dixY5o5W1iO\nvPR7WHJQzkm1yFJKnSflZhfJaK0rmiyiXFa+fAWmT/8mT46X3vWnku53dXVlz549fPHFF9y7d48y\nZcowZswYXnnllVQf37ZtW7755htGjx5NWFgYxYsXp3Xr1gQEBCSOPXHiRIoXL86MGTN45513cHFx\noXbt2gwbNgyIX244d+5cJkyYkNjc4rfffmPQoEGEhYUxfPhwrl+/TtWqVfnxxx/x9vYGwM3NjenT\npzN06FCio6OpUaMG69ato2zZsgB89913DBo0iJo1a+Lp6cmMGTPo2rVrtt5PkTURpyIIfD6Qh5ce\n4lTXCZ9NPtgVtsu158+JVrdpPc7NrRVhYR7Jtjs53aZ4cY9U29ICKe4r4HYVwnw4HVkVt1H+yR6X\nVjvbtF57WtJquyuEyDvatGlDv379WLJkCf7+/uzdu9cilg1aGlPnodzMQentkxyUc1K9TpZSanCS\nb52Aj4ADwN6EbY2BhsAMrfWEnAwyPdm5TpYQpmKJP2thR8IIbBVI9PVoXJq44LPBBxvX3P0DwM9v\nHDt3jku2vVmzcezYkXx7dtnY9CQ2NnmCsLbuiZOTPffvr0i2z9XVHyDFfTYO3YmJi4aH61N8XO3a\n5VN9fUCW9uXE+5JXyXWy8p/Lly/zf//3f7z77rtGh2ISoaGheHt7c+nSJaZMmcLIkSONDsmk9uzZ\nw927d+nQoYPRoWRZbuYhU+eg9PZJDsqetHJQqn8taa0T+4oqpVYA07XWU54aeCQgc9tCWKDQP0MJ\nahNEzJ0Y3J93x3u9N9aO1kaHZXZidWz6BwkhMiQiIoJ69epx48YNPD09adOmjdEhZZuLiwtLliyh\nTZs2jBs3jo4dOyau+jB3+/btw9fXl0KFChEcHEyxYsWMDkmIXJPRM0lfAr5LYfv3QCfThSOEyAvu\n7bpHYItAYu7E4NHRA+//SYGVVVbKivgGrUKI7CpYsCAffvghAP369eP+/fsGR2QarVu3pn///jx6\n9Ah/f3+io6ONDskkGjVqxPPPP8/t27cZMGCAxa32ECItGS2ywgG/FLb7ARGmCkYIYbw7m+8Q1CaI\n2AexFOlRBK+1XljbS4GVVU52TrgUkOuICWEqQ4YMoWHDhly+fJnBgwen/wAz8emnn1K2bFn++usv\nPvnkE6PDMQmlFEuWLMHZ2Zl169axerWcqyPyj4wWWbOAeUqpBUop/4TbAmBuwj4hhAW49X+3ONLx\nCHGRcRTvU5waK2tgZWt5rZNzW3pNbIQQGWdjY8Py5cuxs7Nj6dKl/Prrr0aHZBIuLi4sXboUgPHj\nx3PkyBGDIzKNsmXLMnPmTADee+89QkJCDI5IiNyRauOLZAcq9TLwPlA9YdNx4HOtdUrLCHOVNL4Q\neYG5/6xdX3Wd468fh1goNagUnrM8UVbGFwc50V0wrTFXrNhAdHSJZPtsba9RsWKpVDs0hYTcNnlH\nqLS6PgFZ2pfV9yyvksYX+df06dMZPXo0M2fOZODAgUaHYzJvv/02CxcupG7duuzbt88iLl+itaZd\nu3YcOnSIdevW0aRJE6NDyhRT5yHJQZYjzRyktTb7W/zLSFla+4QwJXP+Wbuy+Irerrbr7WzXZ0ed\n1XFxcUaHlKOaNRurQSe7NWs2Ns19WR0zJx6X22PmVQn/7/J0HhI5Izo6Wh89etToMEwuNDRUlytX\nTgN64sSJRodjMlevXtU3btwwOow8QXKQ5UgrB8k6ICHyuUuzL3HqzVOgocKUClScXFGWtwkh8jwb\nGxuLvHivs7Nz4rLBCRMmEBQUZHBEplGiRAmKFClidBhC5Jq0LkYcClTUWt9SSj0gjQsTa63z7Fnd\n5cqVkz8YRa4oV66c0SFkitaai1Mucn70eQA853hSemBpg6OyPFExyZdMCCFEWlq2bMnbb7/NggUL\n8Pf3Z//+/RaxbPBpERERrF69mt82byb0/n1cXF1p0bo1PXv2pGDBgkaHJ0S2pHVV0YHAgyT3zXKx\n+YULF4wOQYg8R2vNuZHnuDT9EiiouqQqJfokXwMusu/qg6tGhyCEMEOffPIJv/zyC3///TfTpk0j\nICDA6JBMJjY2lonjx/PF3Lk0rlKFrvXr4162LHfDw1m7cCHDBg/mvYEDCRg7Fmtr6W4rzFNaFyP+\nKsn9FbkSjRAix+k4zelBp7k67yrKRlHt62oU6ykXiMwp0r5diNyzYcMG7OzsaNWqldGhZJuzszPL\nli2jZcuWTJw4kc6dO+Pj42N0WNkWGxvLqz16EHLqFP39/BjYrh0l3N0T9/v7+XH+xg36LFrEiePH\nWbl6tRRawiylNZOVSCk1CtgOHNRax+RsSEKInBIXE8epN08RsiIEZafw+t6Lwp0KGx1WrovvfjQu\nle2ksy/9MbXW7Lm0h9i4GGrV8M1mLJmXE2MKkdf98ssvdOjQgZIlS3L06FHck/zhbq5atGjBO++8\nw5dffkmvXr04cOCA2S8bnDh+PDdOn6ZumTJMXb+eo5cu8X/Dhj1xakeFokX5dfhw2k6fzsTx4xk3\nYYKBEZteTueg3Hhcbo9pjjLUwl0ptQtoAEQDe4EdCbcDeaHokta5QqQv7lEcx187zs3vb2JV0Iol\nfr9xMTz5cZbSYjWtFrmQs+1lT946SbV51SjpXJIrH13J9ngiddLCXTwWGxuLr68ve/fupVevXqxY\nscLokEwiLCwMHx8fzp8/z7hx4xg7dqzRIWVZREQEZUuV4s9Jk7CxtqbiezOJji1J1ZKlKO7qmnhc\nlZIxLHqrFedv3KBBQAAXL182u3O0jMxBIveklYMyNJOltfZVSjkATYBmQDsgAIhRSv2htW5jsmiF\nECYXGxVLcLdg7my4g7WLNT4bfbj48W/s3DkuhaNT2mZ+Tp2KSvP15eRrP3j1IAANSzU0yXhCiPRZ\nW1uzfPlyateuzVdffUX37t1p37690WFlm5OTE8uWLaN58+ZMmjSJzp07U7t2baPDypLVq1fTuEoV\nyhctCkDFovU5ee1bTl6Fk0+cvvoOED+j9UzlyqxevZo+ffrkfsDZYGQOEnlDhlu4a60jtdZbgS+A\nL4G1QAEg7bUwQghDxYTFcKT9Ee5suIONhw21f6uNaxPX9B8osqyKRxXea/AeXap1MToUIfKVqlWr\nMmnSJADefPNN7t69a3BEpuHn58e7775LTEwM/v7+PHr0yOiQsuS3zZvpWr9+4vfF3NzSfUzXevX4\nbfPmnAxLiByRoSJLKfWyUupLpdRx4BzwJnAaaAWY/6JnISxU9L1ogloHce+3e9gVt6POzjo413M2\nOiyL17BUQ+a+MJc3ar1hdChC5DsffPABzz77LHZ2dly6dMnocExm2rRpVKhQgcDAQKZMmWJ0OFkS\nev8+7o6Oid9nZJ2vu6MjD0JDcy4oIXJIRmeyVgNdgWVAEa11C631eK31Tq31w5wLTwiRVY9uPiKw\nRSChe0MpULYAtXfVxtHLMf0HCiGEGbO2tmbNmjUcOXLEIrrxPfZ42SDA5MmTOXz4sMERZZ6Lqyt3\nw1M4GTgNd8PDcXaRLq3C/GS0yOoPbCb+ellXlVL/U0oNVkrVVZm80q9S6l2l1EGlVJRSalk6x36o\nlLqmlLqnlFqilDLvljpC5JKHVx9yuNlhwv4Ow8HTgTq76lDQ07xOGhb5XGQknD8Pe/fCunXw5Zcw\nZgz07w8dO0KDBlCmTKaHlRyUP5QuXRpnZ8ubtffz8+O9994jJiaGXr16md2ywRatW7P2zz8z9Zi1\nf/1Fi9atcygiIXJOhroLPvEApSoBfsQvFewChGmtPTLx+BeBOKAN4KC1TvFMRqVUG2AF0By4BqwH\n9mqtR6VwrHR1EiJB5IVIAlsGEnUuioJeBam1pRYFShRIdlxanY+y2t2oWrWehIQkb9FavHgUJ06s\nNvnjstq9KSf2SUeoDIiLgzt34No1CAn592tK9+/fz9CQCjLVXTAnclDC8ZKHRK4IDw/Hx8eHc+fO\nMWbMGMaPH290SBn2uLvgwUmTqFC0KP0XbuHU1eQ92LLTXTA385DkIJHt7oIJg1gR38bdD2hBfKdB\nBZzKTDBa6/UJ4zUASqVx6BvAUq31iYTjJwDfAikmOCEERJyMIPD5QB5efohTPSdqbaqFrUfKH77n\nxC/kkBB77t9fkcIe/xx5XFrdm3bsSGl7+vz8xklHqMyKjPy3QEpaMD1dOF2/DjEZvOqHrS0ULw4l\nSsR/Te1++fKZClVykDB3jo6OLFu2DD8/P6ZMmcKLL75InTp1jA4rQwoWLMh7AwfSZ9Eifh0+nEVv\npX7R6IfR0fReuJD33nsvU+3bczMPSQ4SacnoxYh/AZ4FHIC/iL9G1kxgt9Y6c4trM86L+E8OHwsE\niiql3LXWltEuSAgTCgsKI7BVINE3onFt6krNn2ti45rhz1GEibz1v7co7lScjxp/hKu9GXdxjIuD\n27dTn2lK+jWDs04AuLs/WSSlVkQVKgSZW41uapKDLEhUVBTTp09n4MCBFCpUyOhwsq1Zs2YMHDiQ\nuXPn4u/vz8GDB7GzszM6rAwJGDuW48eO0Xb6dJb170+FhHbuSe09dYpX5syhka8vAWZ8XTCRv2X0\nL7DDwGxytqh6mhOQNHOHEj9z5gwkS3Djxo1LvO/n54efn1/ORidEHhJ6MJSgNkHE3I3BvZU73uu8\nsXa0NjqsfCf0YSiLDy3GxsqGUb55dMIj6axTWsv1TDXrlHRb8eJQIPnS1czYsWMHO3bsyNYYGZSp\nHASSh/KyAQMGsGLFCk6fPs0333xjdDgmMXXqVDZu3EhQUBCTJk1iwoQJRoeUIdbW1ny7Zg0Tx4+n\nQUAAz1SuTNd69XB3dORueDjf//knm/76i7i4OALatcPaWnKZyDsyk4MyejHikdkJKIvCgKTtZFwB\nDTxI6eCkyU2I/OTe7/c40uEIsQ9i8ejkQY01NbC2l6RkhL+u/oVGU6t4LQrYZK+YyJTUZp1SKqIy\nO+uU3nK9EiXij8ulWaeni5ccPB8lUzkIJA/lZR9//DFr1qxh5cqVdO/enc6dOxsdUrY5OjqyfPly\nmjVrxpQpU+jcuTP16tUzOqwMsba2ZtyECQwbMYLVq1ezbfNmHly4gLOLC93efpuX4uJ48803+eij\nj2jTpg2lS5c2OmQhgMzloLy8ligYqAX8kPB9beC6LNMQ4l93Nt3haJejxEXGUfSVolT7qhpWthm+\nxrgwsQNXDgDQsGRD0wyY3qzT46/ZmXVKrYgywayTmZMcZEE8PT2ZOnUqH3zwAW+99RZNmzbFwyPD\nPbvyLF9fXwYNGsTnn3+Ov78/f/75JwXM6P9twYIF6dOnD336PNl/RmvN//73P3766SfefPNNNm7c\nSCabWQthuFwvspRS1oAtYA3YKKUKADFa69inDv0vsFwp9S0QAowGludqsELkYTfX3+RYj2PoR5oS\n/UpQZUEVlLWxSah48ShSOkk4frvpHxffbWlcKtuzJv0xU9938OpBIP5ixKlKOuuU1nI9U806Pb0t\nF2ed8iLJQfnXwIEDWbt2Lbt27WLQoEGsXLnS6JBMYsqUKWzYsIGjR48yceJEJk2aZHRI2aaUYsGC\nBezatYtff/2V5cuXJyvEUpObeSiv5SCRt2S6hXu2n1CpscBY4pddPDae+OR1DKiutb6ccOwHwAjA\nnvhPEwdoraNTGFNa54p85frK6xzvdRxiodT7pfCc5Smf8hktMpImkysRF3KN75t8TulIm5QLp8zM\nOtnZPTmzlFoRVaxYvp11Sqt9birHmzwHJRwrecgMnDlzBh8fH9q1a8eqVavMpllEenbv3s1zzz2H\nlZUV+/bto379+kaHZBIrV67E39+fKVOmMHToUKPDESKZtHJQrhdZOUGSm8hPri66yqm3T4GGsh+X\npcLEClJg5ZT0Zp2SbsvqrFNa5zzl81mnjMhskZWDcUgeMhNnzpyhUqVKFvd788MPP2T27Nl4eXnx\n119/mdWywdRorTl79iyenp5GhyJEiqTIEsJCXJp1ibMfnQWgwtQKlBtRzuCIzNTjc53SW65nilmn\npwunfDzrlBOkyBIiXkREBLVr1+b06dOMGjWKyZMnGx2SEBYvS0WWUuoBTy6nSJXW2iX9o3KOJDdh\n6bTW/DPpHy6MuQCA51xPSr8n3ZaekNKsU2pFVGZmnQoVSn+5XvHiMutkECmyhPjXnj178PX1tbhl\ng0LkVVktsnpl9Am01l9lMTaTkOQmLJnWmnMjznHpk0tgBVWXVKVE7xJGh5V70pp1Srotq7NOaS3X\nk1mnPE+KLCGe9NFHHzFr1iyLWjYoRF4lywWFMFM6TnN64GmufnkVZaOovrI6RV8uanRY2fd41im9\n5XrXrkFoaMbHTWnWKaUiSmadLIYUWSK7Tp06xZo1awgICDA6FJOIiIigTp06nDp1ipEjRzJlyhSj\nQzKpjRs3cv/+fV555RWjQxFCiiwhzFFcTBwn+53k+lfXUQUUXj94UbhDYaPDStvTs06pFVGmnHV6\n/NXAWSettcWdRG8upMgS2REREUG5cuW4desWP/zwA127djU6JJP4448/aNq0KUop9u7dS8OGJrp2\nn8H27dtH48aNcXZ25ujRo5QtW9bokEQ+l+0iSyllB3wMvAKUJf4aI4m01tYmiDPLJLkJSxP3KI7j\n/znOzR9uYuVoRc3/q4l7S3eDgklj1unpbVmZdUpruZ6ZzDqtDFrJx799zDsN3mFYk2FGh5OvSJEl\nsmvevHm89957FClShODgYIoUKWJ0SCYxZMgQZsyYQfXq1Tl06BD29uZ/LSWtNV27dmXdunW0atWK\nTZs2yQdcwlCmKLKmAz2AqcAs4i/KWB7oCQRorReaLNoskOQmLElsZCzB3YK5s/EO1i7W+Pzig+uz\nrqZ/osjIjC3Xu34dYp++TmsqUpp1SqlwsrBznd7/5X3mHJjDxOYTGf3caKPDyVekyBLZFRcXx/PP\nP8/27dt5+eWXWbNmjdEhmURkZCR16tTh5MmTDB8+nGnTphkdkklcv34dLy8vbt++zcKFC+nfv7/R\nIYl8zBRF1nniL8L4a0LXwdpa67NKqQFAS611N9OGnDmS3ISliHkQw9HOR7m3/R42HjbU2lwL57rO\nGR/g6VmntIooU806Jd1mBrNOOeHZpc+y9/JeNr22idaVWhsdTr4iRZYwhfPnz1OzZk3Cw8P5/vvv\n6dbN0D9rTGbv3r00bdoUiF9C2KhRI4MjMo01a9bQs2dPnJycOHr0KOXKyeVMhDHSykE2GRyjGHAs\n4X4Y4JZw/1dgevbCE0IARN+N5sgLRwjdF4pdCTtqbamFo5dj/M7UZp2e3paVWaf0lutZ2KyTqUXH\nRnPo2iEA6peUdslCmKMKFSrw6aefMnjwYO5n5hIPeVzjxo356KOP+Oyzz/D39+fvv/+2iGWDL7/8\nMt9//z0HDx7kxo0bUmSJPCmjM1knAH+t9T6l1C7gF631FKXUq8AsrXWxnA40nfjkE0RhfuLi4NYt\nCAkh+sQlLg89SNzFazg436foc7HYhN38t4jKzqxTakVUPp11MrVD1w5Rb1E9KheqzKmBp4wOJ9+R\nmSxhKnFxcVy6dMni/mBPumxw2LBhTJ9uGZ+N3759G1tbW1xcDL1Uq8jnTDGTtQ5oCewDPgdWKaXe\nBEoBn5okSiEsRURE2uc5pTDrZAtUePz4B8CGp8ZMa9Yp6TaZdcp1J26dAKBhKcvo3iVEfmVlZWVx\nBRaAg4MDK1asoEmTJnz22Wd06dKFZ555xuiwss3Dw8PoEIRIU5ZauCulGgFNgFNa659NHlXm45FP\nEEXOSjLrlG6L8kzMOmm3QkSGu/Ew2o0416K4vlodm0qlkhdRbm4y65SH3Y+6z4NHDyjtUtroUPId\nmckSImOGDRvGp59+SrVq1Sxm2aAQRjNF44vngD+01jFPbbcBntVa/26SSLNIkpvIsvRmnR5/zc65\nTqks14u478zhdsd5dOURzvWd8fnVB1sP2/THF0IkkiJLiIyJioqiTp06nDhxgqFDh/LJJ58YHZIQ\nZs8URVYsUEJrfeOp7R7ADblOlshTks46pdeiPLPnOqW3XC+Ds05hQWEEtgok+kY0rr6u1Py5JjYu\nGV29K4R4TIoskVO01qxcuRJHR0e6dOlidDgmsX//fp599lkAdu/eTePGjQ2OyHSioqKYOHEi/fr1\no0KFCuk/QAgTMEWRFQcU01rffGp7FeBPrbWhZx1KcssnUpp1SqlwyuysU3rd9UqUgKJFTXauU+iB\nUILaBhFzNwb31u54r/PGuqChn1MIYbakyBI5ZePGjbRv3x4PDw+Cg4MpVszQHl8mM2LECKZPn06V\nKlU4fPgwDg4ORodkEoMHD2bmzJk0b96crVu3YmVlZXRIIh/IcpGllPop4W57YCvwMMlua8AbOK61\nbmuiWLNEkpsZS2/WKem2rM46pVVE5fK5Tvd23uNIhyPEhsXi0dkDrzVeWBWQRCBEVkmRJXKK1prW\nrVuzdetWXnrpJX744QeUBZwbGxUVRb169Th27BiDBw/ms88+Mzokk7h58yZeXl7cvHmTefPm8c47\n7xgdksgHslNkLU+42wv4DohMsvsRcAFYrLW+ZZpQs0aSWx70eNYpveV6pph1enqbCWedTOn2r7cJ\n7hJMXFQcRV8tSrUV1bCylQLLnB2/eZwyrmVwsnMyOpR8S4oskZP++ecfatasyYMHD1i1ahU9e/Y0\nOiSTOHDgAI0bN0Zrze7duxOXEJq7tWvX0q1bNxwdHTly5IgsGxQ5zhTLBccCn2mtw00dnClIcssl\nKc06pVZEZWbWycMj/eV6xYubdYe9mz/e5FjPY+hoTYl+JaiyoArK2jxfi/hX+dnluRR6iePvHqeK\nRxWjw8mXpMgSOW3x4sX079/f4pYNjhw5kmnTplncssGePXuyZs0a/Pz82LZtmywbFDkq20VWkoHq\nA5WAn7XW4UopR+Dh010Hc5skt2xKa9Yp6baszjqlslzvQkw089d9QdSjEOztSzFgwETKl7e8T51C\nvgnhhP8JiIXSH5Sm0sxKFrHkJL+7EX6DYp8Vw9HWkfsj7mNtJefVGUGKLJFVFy6cZ/78AKKirqSZ\ng7TWtG3blsuXL/PDDz9QvXp1A6I1vYcPH1K3bl2OHTvGRx99xIwZM4wOySRu3bqFl5cXTZo04b//\n/S9OTrLSQOQcU8xkFQP+D2gIaKCy1vqcUmohEKW1ft+UAWeWJLcUPJ51Sm+53rVr8OBBxsdNadYp\npSIqnVmnCxfOM3ZsK3r2PIuDA0RGwurVlRg/fotFFVpXF17l1IBToKFcQDnKjy8vBZaF2HBqAx1W\ndaBZuWbs8N9hdDj5lhRZIisym4Nu3ryJi4sLBfLgUvTsOHjwII0bNyYuLo5du3bRpEkTo0MyiStX\nrlCyZEnJtyLHpZWDMtozehZwHfAALibZ/j0wN3vhiUx5etYptSLKlLNOj7+a8Fyn+fMDEpMbgIMD\n9Ox5lvnzA5g+/RuTPIfRLs28xNnBZwGoOL0iZYeVNTgiYUoHrhwAoGGphgZHIoTIrMzmoCJFiuRy\nhLmjQYMGDBs2jKlTp9K7d28OHz5MwYIFjQ4r20qVKmV0CEJkuMhqCbTUWt996lOBs4D85Zhdac06\nPb0tK7NO6bUoN+Bcp6ioKzy9/NvBAaKiruZqHDlBa80/E//hwtgLAFT+ojKl3pVf+JbmwFUpsoQw\nV5acgzJr7Nix/PTTTwQHBzN69GhmzpxpdEhCWISMFlkOxHcTfFoRIMp04ViYiIiMLde7cSPjs04F\nCmRsuV6xYvEzVHmUvX0pIiN5IslFRoK9fUnjgjIBrTXnhp3j0meXwAqqLq1KCf8SRoclckBJp5KU\nci5Fg5INjA5FCJFJlpqDsqJAgQKsWLGCZ555htmzZ/PSSy/RtGlTo8MSwuxl9Jysn4EgrfUopdQD\nwIf4ZYPfAbFa65cz/IRKuQPLgFbATWCU1npVCsf1ApYCEYAi/lywDlrr31M4NvfWwj8965RWEWWq\nWaek28y4w15SlnhOlo7TnH73NFcXXEXZKKp/W52i3YsaHZYQFi2z52TlRA5KOF7OyTIj2c1BoaGh\nBAQEMGLECEqUsIwP0kaPHs3kyZPx9PQkMDDQIpYNPnbq1CnmzZvHrFmzpNugMClTNL6oAewEDgPN\ngJ8BL8AVaKK1PpuJYB4nsz5AXWAD0Fhrffyp43oBfbXWz2VgzOwnt9RmnZ7elpVZp/SW6+XxWaec\n8nLhS3cAACAASURBVG9np6vY25c06+6CcTFxnOxzkutfX0cVUHiv9cajvYfRYQlh8bJQZJk8ByUc\nL0WWmclODurduzcrVqygU6dOrF+/3iIaLDx8+JD69etz9OhR3n//fWbPnm10SCYRExNDlSpVOH/+\nPLNnz+b99w3t1SYsjElauCulSgADiE9KVsAhYJ7W+lomAikI3AVqPC7MlFJfAVe01qOeOjb7RVZc\nHNy8mf5yvZCQ7M06pVZEWciskxEy2lo3L4h7FMexV49xa+0trBytqPlTTdxbuBsdlhD5QmaKrJzK\nQQnHS5FlQdLLQZcvX8bLy4vQ0FC+/vprXnvtNQOjNZ2//vqLRo0aERcXx86dO/H19TU6JJNYv349\nXbp0wcHBgcDAQCpXrmx0SMJCmOw6WSYIpDawW2vtlGTbR0AzrXXnp47tBXwBRAJ3gG+AKVrruBTG\n1frjj3Nu1inptnw665SbzGkpYWxkLMFdg7nzyx2sXa3x+cUH18auRoclRL6RySIrR3JQwvFSZFmI\njOag5cuX06dPH9zd3QkODraYZYMBAQFMmjSJSpUqERgYiKOjo9EhmcRrr73GypUradq0KTt37pRl\ng8IkslxkJXzq9wnwIlAA2AIM0lrfymIgTYHvtNYlk2zrB7yqtW7x1LHlAa21/kcp5UX8+V//1VpP\nT2Hc1F+Fh0f6y/VKlABXV5l1yiOGD38NP7+VyU5I3rHjP3mqvXvMgxiOdjrKvR33sC1si89mH5zr\nOBsdlhD5SiaLrBzJQQnHS5FlITKag7TWdOjQgY0bN9KxY0dWrVrFmjVr+G3zZkLv38fF1ZUWrVvT\ns2dPszq/6dGjR9SvX58jR44waNAgPv/8c6NDMok7d+7g5eVFSEgIs2bN4oMPPjA6JGEBsnOdrPFA\nb+I/wXsIvArMB7pnMZYwwOWpba5AsrV6WusLSe4HK6UmAEOAFBPcOD8/cHICJyf8mjXDr317mXUy\nU+bQWjf6bjRB7YJ4sP8BdiXsqLW1Fo41LOPTPpG2C/cusOnMJpqWbYpXUS+jw8l3duzYwY4dO7L6\n8BzLQQDjxo1LvO/n54efn19W4xQGymgOUkqxaNEivL29uXzpEmVLleLZqlXpWr8+7mXLcjc8nLUL\nFzJs8GDeGziQgLFjsba2zsVXkjV2dnasWLGChg0bMmfOHLp27cpzz2Vo1WyeVqhQIRYuXEjPnj2x\nk78NRRZlJgelN5N1FvhYa7064fuGwB7AXmudwXV4T4xXkPhlF15J1sP/F7j89Hr4FB7bAxiqta6f\nwj75BNGC5PWZrEc3HhHYOpDwwHAKlCtA7W21cajkkP4DhUVY/Ndi+v/cn57ePVnVNVlTOpHLsnBO\nlslzUMJ+yUMWIjM5KDY2li6dO/Pg0iWW9e9PhaLJO8qev3GDPosWUaxKFVauXm0WhRbAmDFjmDhx\nIhUrViQoKMhilg2GhIRQvHhxo8MQFiKtHJTegtQywK7H32itDwAxQJYuJKG1jgB+BCYopQomLN3o\nCHydQtBtlVJFE+5XA0YD67PyvMK8DBgw8f/bu/PwqMq7/+PvL0kgECAEEakoIrggSMCyWQV9QESl\nteXRX0UrKKAWqdsPBVJlD+AGio8riIJWWlEfl9YqbogiaisWCCAuqKEQ0EBZQgiQ9X7+mEkMZDIJ\nk0nOzOTzuq5cFzP3OWe+MyT55J65z/ewZElHDh703S5dDz9mzAxvCwPyt+Wz9vy15GXk0fi0xpz1\n0VmaYNUzn23zX4T4eF2EONoog6Q6jiaDZkyfTu7WrbyVlhZwggVwcuvWvJWWRvY33zBj+vTaLD2s\nJk2aRGpqKt9//z133nmn1+WEjSZYUleq+iSrGGjjnNtZ7r5cINU5lxnSAx5+jZL/AGnOuRfM7ETg\nC3xdn7LMbDYwHEgCsvGF4MxAn6DpHcTaF2q3v5deWsL9919P06aH2L8/kQkTnuK3v72yymOuXLmC\n9PRriY/fS1FRC6ZMeZa+faterlCbXQkPZh4k44IMDmUeIqlrEt3e7UbD47TkoL7pNq8b67LXsXLk\nSs5td67X5dR7NbxOVlgyyH9c5VAtisQMOnDgAO3atuXzmTNp759gbd6ZzRMfvcAh20OiS2FMv6G0\nP/Y4wPeJVq/Jk9mSlRU152itWbOG3r17U1RUxAcffMD555/vdUkiEaUmjS9K8DW7yC939yX4rpl1\noPQO59yvw1NqaBRutSvUbn8vvbSEBQuuYuxYyvabOxduuOF5evXqU+kxgZAerza7EuZ9lUfGwAwK\nthXQrFczUt9KJaFlQo2OKdEnryCP5Ht93SP33bmPJgnR8YdSLDvaSVYt1qEcqiWRmkELFy7k1fnz\neX3cOF+dO7OZ+v5Mrrwu+6f9nj6O6QMmlU20fjV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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Bad models\n", + "x0 = np.linspace(0, 5.5, 200)\n", + "pred_1 = 5*x0 - 20\n", + "pred_2 = x0 - 1.8\n", + "pred_3 = 0.1 * x0 + 0.5\n", + "\n", + "def plot_svc_decision_boundary(svm_clf, xmin, xmax):\n", + " w = svm_clf.coef_[0]\n", + " b = svm_clf.intercept_[0]\n", + "\n", + " # At the decision boundary, w0*x0 + w1*x1 + b = 0\n", + " # => x1 = -w0/w1 * x0 - b/w1\n", + " x0 = np.linspace(xmin, xmax, 200)\n", + " decision_boundary = -w[0]/w[1] * x0 - b/w[1]\n", + "\n", + " margin = 1/w[1]\n", + " gutter_up = decision_boundary + margin\n", + " gutter_down = decision_boundary - margin\n", + "\n", + " svs = svm_clf.support_vectors_\n", + " plt.scatter(svs[:, 0], svs[:, 1], s=180, facecolors='#FFAAAA')\n", + " plt.plot(x0, decision_boundary, \"k-\", linewidth=2)\n", + " plt.plot(x0, gutter_up, \"k--\", linewidth=2)\n", + " plt.plot(x0, gutter_down, \"k--\", linewidth=2)\n", + "\n", + "plt.figure(figsize=(12,2.7))\n", + "\n", + "plt.subplot(121)\n", + "plt.plot(x0, pred_1, \"g--\", linewidth=2)\n", + "plt.plot(x0, pred_2, \"m-\", linewidth=2)\n", + "plt.plot(x0, pred_3, \"r-\", linewidth=2)\n", + "plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\", label=\"Iris-Versicolour\")\n", + "plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\", label=\"Iris-Setosa\")\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.ylabel(\"Petal width\", fontsize=14)\n", + "plt.legend(loc=\"upper left\", fontsize=14)\n", + "plt.axis([0, 5.5, 0, 2])\n", + "\n", + "plt.subplot(122)\n", + "plot_svc_decision_boundary(svm_clf, 0, 5.5)\n", + "plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\")\n", + "plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\")\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.axis([0, 5.5, 0, 2])\n", + "\n", + "save_fig(\"large_margin_classification_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sensitivity to feature scales" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure sensitivity_to_feature_scales\n" + ] + }, + { + "data": { + "image/png": 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5U/lVq1Yt9pTjFStW0C00lKa2aYEHjx6jz9Rt7D/6OhAAnCc1/SnWTGhLSIN6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\nKMESEZHQU4IlIpLZqqqqePnll2N3uZYuXcrBgwfJyclh165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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Xs = np.array([[1, 50], [5, 20], [3, 80], [5, 60]]).astype(np.float64)\n", + "ys = np.array([0, 0, 1, 1])\n", + "svm_clf = SVC(kernel=\"linear\", C=100)\n", + "svm_clf.fit(Xs, ys)\n", + "\n", + "plt.figure(figsize=(12,3.2))\n", + "plt.subplot(121)\n", + "plt.plot(Xs[:, 0][ys==1], Xs[:, 1][ys==1], \"bo\")\n", + "plt.plot(Xs[:, 0][ys==0], Xs[:, 1][ys==0], \"ms\")\n", + "plot_svc_decision_boundary(svm_clf, 0, 6)\n", + "plt.xlabel(\"$x_0$\", fontsize=20)\n", + "plt.ylabel(\"$x_1$ \", fontsize=20, rotation=0)\n", + "plt.title(\"Unscaled\", fontsize=16)\n", + "plt.axis([0, 6, 0, 90])\n", + "\n", + "from sklearn.preprocessing import StandardScaler\n", + "scaler = StandardScaler()\n", + "X_scaled = scaler.fit_transform(Xs)\n", + "svm_clf.fit(X_scaled, ys)\n", + "\n", + "plt.subplot(122)\n", + "plt.plot(X_scaled[:, 0][ys==1], X_scaled[:, 1][ys==1], \"bo\")\n", + "plt.plot(X_scaled[:, 0][ys==0], X_scaled[:, 1][ys==0], \"ms\")\n", + "plot_svc_decision_boundary(svm_clf, -2, 2)\n", + "plt.xlabel(\"$x_0$\", fontsize=20)\n", + "plt.title(\"Scaled\", fontsize=16)\n", + "plt.axis([-2, 2, -2, 2])\n", + "\n", + "save_fig(\"sensitivity_to_feature_scales_plot\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sensitivity to outliers" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure sensitivity_to_outliers_plot\n" + ] + }, + { + "data": { + "image/png": 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Lg8FAly5dKFy4sEX1a5pGkyZNaNKkSZrHvP766+zYsSPFPLEKFVLPjRFC5F1P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\n8RYiUlVE3hCRVBFJF5EtItLX0+PyNBF5V0T22T+TXSLytKfH5E1E5Eo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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X_outliers = np.array([[3.4, 1.3], [3.2, 0.8]])\n", + "y_outliers = np.array([0, 0])\n", + "Xo1 = np.concatenate([X, X_outliers[:1]], axis=0)\n", + "yo1 = np.concatenate([y, y_outliers[:1]], axis=0)\n", + "Xo2 = np.concatenate([X, X_outliers[1:]], axis=0)\n", + "yo2 = np.concatenate([y, y_outliers[1:]], axis=0)\n", + "\n", + "svm_clf2 = SVC(kernel=\"linear\", C=10**9)#float(\"inf\"))\n", + "svm_clf2.fit(Xo2, yo2)\n", + "\n", + "plt.figure(figsize=(12,2.7))\n", + "\n", + "plt.subplot(121)\n", + "plt.plot(Xo1[:, 0][yo1==1], Xo1[:, 1][yo1==1], \"bs\")\n", + "plt.plot(Xo1[:, 0][yo1==0], Xo1[:, 1][yo1==0], \"yo\")\n", + "plt.text(0.3, 1.0, \"Impossible!\", fontsize=24, color=\"red\")\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.ylabel(\"Petal width\", fontsize=14)\n", + "plt.annotate(\"Outlier\",\n", + " xy=(X_outliers[0][0], X_outliers[0][1]),\n", + " xytext=(2.5, 1.7),\n", + " ha=\"center\",\n", + " arrowprops=dict(facecolor='black', shrink=0.1),\n", + " fontsize=16,\n", + " )\n", + "plt.axis([0, 5.5, 0, 2])\n", + "\n", + "plt.subplot(122)\n", + "plt.plot(Xo2[:, 0][yo2==1], Xo2[:, 1][yo2==1], \"bs\")\n", + "plt.plot(Xo2[:, 0][yo2==0], Xo2[:, 1][yo2==0], \"yo\")\n", + "plot_svc_decision_boundary(svm_clf2, 0, 5.5)\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.annotate(\"Outlier\",\n", + " xy=(X_outliers[1][0], X_outliers[1][1]),\n", + " xytext=(3.2, 0.08),\n", + " ha=\"center\",\n", + " arrowprops=dict(facecolor='black', shrink=0.1),\n", + " fontsize=16,\n", + " )\n", + "plt.axis([0, 5.5, 0, 2])\n", + "\n", + "save_fig(\"sensitivity_to_outliers_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Large margin *vs* margin violations" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn import datasets\n", + "from sklearn.pipeline import Pipeline\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.svm import LinearSVC\n", + "\n", + "iris = datasets.load_iris()\n", + "X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n", + "y = (iris[\"target\"] == 2).astype(np.float64) # Iris-Virginica\n", + "\n", + "scaler = StandardScaler()\n", + "svm_clf1 = LinearSVC(C=100, loss=\"hinge\")\n", + "svm_clf2 = LinearSVC(C=1, loss=\"hinge\")\n", + "\n", + "scaled_svm_clf1 = Pipeline((\n", + " (\"scaler\", scaler),\n", + " (\"linear_svc\", svm_clf1),\n", + " ))\n", + "scaled_svm_clf2 = Pipeline((\n", + " (\"scaler\", scaler),\n", + " (\"linear_svc\", svm_clf2),\n", + " ))\n", + "\n", + "scaled_svm_clf1.fit(X, y)\n", + "scaled_svm_clf2.fit(X, y)\n", + "\n", + "scaled_svm_clf2.predict([[5.5, 1.7]])" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# Convert to unscaled parameters\n", + "b1 = svm_clf1.decision_function([-scaler.mean_ / scaler.scale_])\n", + "b2 = svm_clf2.decision_function([-scaler.mean_ / scaler.scale_])\n", + "w1 = svm_clf1.coef_[0] / scaler.scale_\n", + "w2 = svm_clf2.coef_[0] / scaler.scale_\n", + "svm_clf1.intercept_ = np.array([b1])\n", + "svm_clf2.intercept_ = np.array([b2])\n", + "svm_clf1.coef_ = np.array([w1])\n", + "svm_clf2.coef_ = np.array([w2])\n", + "\n", + "# Find support vectors (LinearSVC does not do this automatically)\n", + "t = y * 2 - 1\n", + "support_vectors_idx1 = (t * (X.dot(w1) + b1) < 1).ravel()\n", + "support_vectors_idx2 = (t * (X.dot(w2) + b2) < 1).ravel()\n", + "svm_clf1.support_vectors_ = X[support_vectors_idx1]\n", + "svm_clf2.support_vectors_ = X[support_vectors_idx2]" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure regularization_plot\n" + ] + }, + { + "data": { + "image/png": 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pJCcns3v3btavX8/SpUvtNrDS09NZvXo1S5cu5ZlnnuHBBx+kQ4cO1K1b1yaF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\nF8uXE9CoEXNmzSInJ6dMcZsTYzzzzDN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XV1/bTnbORzbbOFe7i5dnPqjLHBft2rVjx44d\npKWlsWvXLksjJTg42O72+/efYc+edkAoEMSfg/XnlCmOsigug2FkZCSJiYl89913fPfddwC4uLhY\nZTB8f+VK3li8mC7h4bc8r8i6devo0aqV5YR2LMnZbipeeAKApj4+dG/ZknXr1hWZ/alFixZ8/fXX\nlv0xZy8srDfLZDIV2msnHGvjNxt595d36dKxC8MGDXN0OJXaqlWrLD8wGzdubIjEPpXdunXr6Nm6\nNV8++yyvbNjAq58nkW362WY7Z6cBvDysLS8PG8aQN94o9hxW1pjK47xa0Tw9PfH09CQkJMTu+kuX\nLjHzxRdZs2YN/t7eNPb05EpGBn9cvswfly9z4+ZNANLPn2f5ctsBTbVq1cLT0xMnpVj45ZcE+vgQ\ndSSZI0mvkDsYypc/62tjHytRdgW/N2Ybo3fxbuKPdPmtuVWW0KrwWShpT1YcME4ptVPTtEjgf0qp\n1zRNGwUsUUr5lnegxcQnVxArSGhoOFFRr9gs7907nMhI2+UVoVmzuzh50lzp1gN68//t3Xl4VdW5\n+PHvSkgIhCkyhCEkBCFMAZkJkABeB4bSqngdKgpy/SHV2lptqdoiBKnFglW87a23WqV4wVpFRcUJ\nqkCCCZPMQwhTEkISwhQSCJnX748z9JycfcIJ2WdIeD/Pk8ecvdfZWWe72e959177XZDEiBHH2bbt\nz37pkydsFQxtiUrtu3S2RC0hIYGamhryT56kory8XvOKeHO+E0e2CoZBQUHcfPPNLus//PBDnn76\naafhklLB0P+01oy+dzRbB2xl1IFRpL+fHjD/TxrjnSzH18HBwTzzzDOGd3YvX75MaGgoIXUMlxEW\ntc9hSfO/ZXPG6y7tEvs+RuoL/wF4f54sX51XA4W7ua2mTJnCmTNn3D4Xdv78+atsOQyIAWLo0i6X\nn02+iR4dO7L/5Ekyqqv54OOP5eJcExKoc96548s7WR8DtwBbgNeAfyilZgPdgKUN6YBoXNzdMfHn\nQ6rh4ZFYHg9MAfKANcAazp691W998kRdFQxTU1PZtWuXvYKhja2CYcuWLblw4cJVkyxvznfiKDw8\nnFtuucXt+vT0dHJycli5ciUrV64ELBUMk5OTefzxx+v1t4R5PvzsQ/a13mep0NZqHx+t/UjuZjXA\n9OnT7V8w8/LyaNeunWG7l19+mRdeeIGoqCinogNTp05l5MiRPu51YKt9Dgt2cxHAcbm358ny1Xk1\nUNQ1t1Xnzp0ZOHCg4ftKSkr44eTJJEZG0rldO7IKC1mx6SBnSyKALOAccBg4TH4R/OYfzvMdtWzZ\n0qU6ouPrzp07SxLWiATqnHfe5FGSpbV+zuH31Uqpk8BYIFNrvdZbnRPCE+3b98YyNFADJ7AkW6lE\nRBgf3kuWLKGoqIikpCTGjBnjlQqGZ8+eZe7cuWxJTaW8rIzmYWEkJCWxdOlSt+XQO3XqxLRp05g2\nbRpgqWCYnp7ON998w5o1azh27Jh94sq//MVy1dSxgmFSUhK9evVyugpUe76Tajd3fB2Xe2OOmSVL\nljBjxgz7UMmUlBQKCgrcThSYl5fHDTfcQFhYmKn9EP+mtebl/3uZ0gGlAJTGlLL0naVMmzotYO5m\nNTa2CwgAFRUVTs+UOioqKkJrTU5ODjk5OaSkpACWCw9GSdb777/P/v37nb5odu/e3bAya1MTiHM2\nBcp59WquJQ4Zudb91Lp1a6KioujlcPdi61HHO5ElQDaQRc/IPzBtZARZZ86w49gx8ouLKS8vJzMz\nk8zMTMPth4aGui1RHxMTYy+gJQJDY5jzzmweJVlKqXFAmta6CkBrvRXYqpRqppQap7VO8WYnhfCM\nAnpafx6mdetkw1Z/+9vfOHLkCIsXL3aqYDh37ly6devWoB5UVFQw+fbbSU9PZ0yfPjwzcaL9OaqV\nqalEd+vG6NGj+XLduqt+QQoPDyf9u+94+803GR0Xx9z/9/84U1LC98eOkXr4MGcvXuT48eMcP36c\nv//974DlqqLjXF0Tbr2VD998k4fGjWPR6tVsyTQevrElM5Pk98/y/H/+p1fmmAkKCmLQoEEMGjSI\nJ554Aq01x44dcxvoH330UdavX8/IkSPtn2XMmDG0acQn20DjeBcLkLtZJgsNDXX7b/zVV1/lD3/4\nAydPnnQqNjB27FjD9h999BH//Oc/nZYppXjnnXfsd8IdnT9/nlatWjWJJCwQ52yy9cnf51V3zIpD\nZsxtVfe+ag3EA/HknHmV8ObNee8Xv+COV17h+TlzuPfeew0rI9qWnTlzhiNHjnDkyBHDvx0aGkp0\ndLTbecIkCfOtQJ7zzls8fSarGuiitS6stbw9UFifebKUUj8FHgYGAu9qrQ2fZlNKzQTeAkqx/C/Q\nwFSjhE6eyfKdQKzkV58+aa354osv7HdUtm/fbr/afPr06QaViK+oqKB/XBwdQ0N598kn3VYEfOC1\n1zhbUcGBzEy3Ac6T6oJH8vP58Z/+RHV4OD1iY9m8ebNhBcPLly5xY6dOtGjenF6RCRRedB3C1CWi\nhIKLu2gdFub1ylyeGD9+vP3qvk1QUBA7duxwqmoort1T859iZ/ZOp7tWWmuGxgzl1Rde9WPPLLz1\nTJY3YpC1vdfi0Nq1a9m2bZvTl8zc3Fy++uorbrvtNpf2d955J59++indunVzutI/c+ZMevfu7ZU+\ness1zRtYxzxZZszTU5+Kh74+r5oVh8yaz8ib++ry5ctuy9PbkrC6hISEXDUJk/m6zGPWvKu+YkYM\n8jTJqgEitdZnai2PA3ZorT2+vKyUuhOoASYCLa4S4B7RWo/zYJuSZIlrUlpaytatW9m7dy9PPvmk\ny/qKigri4+MZMWKE/Q5Rv379DIdT1WculwnJybTs2tXtXC7XMpfEgoUL7RUMbUPycnJynNq3CA0l\noXdvkvr1Y1y/fiT07k24dUieJ/3ypfPnz/Pdd9/ZP8+BAwc4e/as4ReCjz/+mKFDhxITE+OHngpv\n8GKSZXoMsrb3aRyqtFZ2MyqeMXnyZNatW0dNTY3T8pSUFJKSklzaL1myhOLiYqdnXqKjo2nevLl3\nOl9PrVu2ZEBUFJs8OLeOW7CAg6dOUVJaatjGrHl6zDzfm8msfpk5n5G/9tXly5fJyclxm4QVFhbW\n+f7aSVjtoYldu3aVJKyevDXvqjd4PclSSn1q/fUHwL+AcofVwVju8x7SWk+q9x9WahHQraklWYF4\np8dMQUFj0Np1SJ1Sp6ipSfN4O2buJ2/u87S0NJchPO3bt2fq1Kn2IXpgGfse3a0bB195hR6dOtH3\nF8spuOB6x6hzRBEZy2ZxorCQAU8/Tc6pUy5D5sycSyIjI4MRw4bxwyFD2JWVRcapU07rmwUHM6xn\nT5L69iWpXz+6t2/PbYsXu70K7E8VFRWGCdbp06fp3LkzANHR0fbn02wJsWicvF1d0MwYZG0fEHHI\ndj6sqammvLyY8vKLlJUVER5+ia+++gcdO3Z0eU/fvn05fPiw0zKlFN9//73hneNT1vOWL5Kw3bt3\nkzBiBLcNGsSl8nI2HWiNJsqlnSKXcf2LadOiBev27GHL9u0MHjzYqY1Z81td03bquLtmFrPikJkx\n6Jq25YN9Zetbdna227thp0+frvP9zZo1c3snLCYmhm7dukkSVotZc4D6gi+qC56z/S3gAnDFYV0F\nsBl4syEduIohSqlC4DywEvi91rrmKu/xq8zMMjZtSjZYY7Ss8bEkWB8YLL+nXtsxcz95c58nJCSw\nb98+p4INeXl5LsPy5s6dy5g+fYhs144rFRUUXGjHxSvvGmzxAcAy/8PouDjmzp3L8uXLnVqYOZdE\nWloaE+Ljedd6l+5McTGbMzJ4a+O3fHloFzWlNWw9coStR47w8mefAdC6RQumTp3Ko48+SlJSUoOf\nUzOLu6GVxcXFTJ06lc2bN5OTk8OqVatYtWoVcXFxLl8chainJhODxo9PNkywAObPn09mZqbTl82T\nJ0/SvXt3w/Zjx44lOzubLl26OH2xnDt3LhEREWZ+HCZOnEhi376s+fWvWbR6NRsPgGEM4h5uHqCY\nd/fd3P673zFx4kSXL8lmzW91TduJi/P6fD+2OGTr17XGITNj0DVtywf7CizVC/v16+f2YlxpaanL\nnTDHfyMFBQX256KNNGvWjO7du7sdjti1a9frbi49x3lXGzIHaGNR5/9drfUsAKVUFvCy1rp+JX4a\nZhMQr7XOVkoNAN4HKpHJj4UPBQUFER8fT3x8PI8//jhaa06cOEFpraEoW1JTeWbiRD5IT2f2X/9K\ndU074DlgHDAGcK1g+GBSEkvWrXNZ/u26ddw9fLjTMlsVnpLbrrhU3wG4e9gwvlm3ziUo1d5WxzZt\nuHPECP7w/RpqfqUZ9m1Pfpd4H6kZGaRmZLD1yBFKrlxhw4YNbNiwAbBUMHQsplG7gqG/9e7dm88+\n+4yamhr2799vT4Z79uxp2P7AgQOsWbOGcePGMWLECKlgKNy5bmLQAw884LKsqqrK8AtOTU0NISEh\nBAcHk5+fT35+Punp6QA899xzLu0B5syZww033OBypd+Tf3tVpaU8OG4cwUFBJN97LwtXv++27YJ7\nLBf7HkxK4pfvvOOy3ujcejVG51aztmM2WxyqD6M45M0Y1JBt+VrLli3p27cvffv2NVx/5coVt8MR\ns7Ozyc/P58SJE5w4ccLw/cHBwXUmYd26dWuSSVhwcDDJL7zAr599lvfee49v1q2jJCuL1m3aMG3O\nHN73YA7QxsLTEu4LAZRSw4EbgbVa68tKqXCg3FZ10Exa6yyH3w8opV4AfoWbAJecnGz/fcKECUyo\nRyUiITyllDL88l5eVkZEeDg7T5ygsroarc8CL1l/goDfA884vSciPJyK8nKXbZk5l8TVtnWoxyku\n63Je/PGPASirqOCVtWv5v507iYmNJS0tzX6lbsWKFYBrBcOBAwcGRIUmxwqGP/3pT922W7t2LfPm\nzQMsd8dsFQzvuusuhtfzi5Mwz8aNG9kYAM8C2tQ3BkHTikPuvtwFBQVx5MgRqqqqyMvLc5oXrHVr\n14IGV65c4Y033jDczpUrVwzvUB8+fJjo6GhatGiBUoqI8PB69T0iPJwggwtBZs1vFajzZNniUH0Y\nxSFfxqDGPDdSixYt6NOnD3369DFcX1ZWVuczYfn5+fbfjTgmYUal6qOiohp1ElbX/Gv+4I0Y5GkJ\n90jgE2AkluIfvYHjwCtAGeBaMcA73F4+dwxuQvha87AwLly+zMJ77+WpH/yAbnOWU1oxGsucXTuA\nXi7vuXD5MjVAVlYWMTEx9it5Zs4lUd9thYWG0iUigmFDhrDyvfeoqqpiz549TsU0CgoK+OCDD/jg\nA8uQnXbt2jF27Fh74jVs2LCALh09evRoHn/8cVJTU9m3bx+bN29m8+bNtGrVyitJ1rXOMXO9qZ2U\nLFy40H+dca/OW7jXUxyyPY8SHR3NuHF1P7b2zjvvuHzBrKmpMTxPFBUV2e8cREZGUnT5Mr//+GN2\nHDvGovvv96hvFy5fpsbg+Tiz5twKxLm74N9xqL79Cq31bJ0/Y1Bd22pswsLCiIuLIy4uznC9LQlz\n90yY40UMI8HBwU4TmtdOxqKiouyFcSQOXZ03YpCnKfCrwGmgPeBYruwD4E/1+YNKqWAgBEvhjGZK\nqeZAlda6ula7ScBOrXWhUqovMA/4p8sGhQgACUlJrExN5eEJE2gXHk5IcDcsd7HAUgHa9U7PytRU\nyqqqiI2NJSoqyn5nqM+AAaz+7DNT5pJo6LwUzZo1Y9iwYQwbNoxf/OIXaK05fPiw0zNqOTk5fP75\n53z++eeA5epeQkKCPelKSEggvJ5XV71p3Lhx9i+FjhUMJ0+ebNh+0aJF5Obm2gtqeFrB0Iw5ZoT5\nJAb5VosWLXjooYdclteufGhz7tw5brzxRrKzs+3PVG07epRzJSVukqwzwE+Bvfzl67b06NiRv65f\nTzODL45mzbkViHN3gXMc8tTK1FQSalWcNHM+o+txbiRPXS0JKy8vd7oTVjsZy8vLsxfu2LRpk8v7\ng4KCiIqKQgEF+flEd+xIUp8+jOzUieYhIXz4+usSh7zM0xLup4FbtNb7lVIlwE1a6+NKqVhgv9ba\n429QSqkFwAIsd8RsFgLLgYNAP611rlJqKfAQEI4lwfs/4He1A6F1mwFR1QmkuqCnGkt1QU/Zqjod\neOUVYj2s6tT/qaeYOGUKKSkpXLhwwald21at2PXSSw2eS8IX81Lk5OTYE67U1FQOHTrktL5Zs2YM\nHTrUnkQmJiZyww03eLTtQNCvXz8yMjLsr20VDBctWkRsbKzhe8yaY+Z65sUS7qbHIOt2AyIOBcL5\n0AzV1dXk5+ezfv165syezUvTp/P01KkE3fcKWjtWFzwHbHB5f8+ePTl27JjTMtucTe8+8QRj+/Th\n6RWpDaouWK+5u+o4r5p1vriWOFRXdUEz4kZjmxupMSkvL7dPaG5UnOPUqVPUdU4KUorIdu0oraig\nXfv2PPjQQ/Ts2dPpTlggj0rxNl/Ok1UMDNdaZ9ZKskYCX2qt2zekEw0VKMFNXN/qMxfI+AULCO/W\njW82bqSmpoYDBw7Yh+Tt3buXu++6i9TPPnOaS0Jrzauff86wnj0Z2asXLUJDPZpLwtfzUpw5c4bN\nmzfbk65du3a5XLWOj493eq4rUCoYGtm6dSspKSmkpKSwefNmioqKACgoKCAyMtKlfU1NDS8kJ5s2\nx8z1ytsl3M0mcch72rVuTd8uXQznyTpTXMy6PXvIOnOGYwUFfLh1K5fKyrjjzjv56KOPXLb18IwZ\nrPi//wOgQ+vW9OjUiR4dO5LUty8/nzLF3u5q50Mzz6v+mpPKMQ4Fyufz99xITcnzv/0t6z/8kAXT\nppF34QJZhYVknTlj/zl1/nzdSVhQEF27dnVbmKN79+5NOgnzZZK1Ftirtf6NNckahGXY4PtAtdb6\n3oZ0oqEkuNWtb9/7KShwreLUuXMZGRnv+aFH5l5tNfPzNaRfFRUV9I+Lo2NoKO8++aTbq5E/XraM\nc5WVHMjMdHuCMrqymVVYSOwTTwAQ2qwZA6OjKSwpIbZPH77duNHtnRB/z0tRXFxMenq6/W7Xtm3b\nKK/1oHWgVzC0sVUw3LVrFzNnznRZX1FRQffu3blw/jw/nzSJHw0fzshevQgLDb2mOWauZ5JkNR0N\nPUdfvHiR7l260D8qin/UcW69f9kyMk6dIic/n7ZtXSu6Anz55Zfcd++9XLp82ekLZofWPRkQZanM\n1yWihPySPXTu04cnnnySZcuWGX7BfPSRRyg8coScgkjOlXRw+VvtW5+le2RBnedVs+busjErDpkZ\nN/wdg65HnsxPVlldTe65c2SdOcP2Y8dY+OGH3HnXXeTm5trvhLkb1guWc3S3bt3cTtbcvXv3gJnQ\n/Fr4Msnqj6Wc7W5gPLAWGIClLvVYrfWxOt7udRLc6tau3cNcvPh3l+Vt2z5MUZHrcl+YMCHZ7Vwu\nGze6Lq+LmZ+vof2qqKhg8u23k56ezui4OB5MSrLP/7AyNZX0zExGjxnDl19/fdUrQPYx+n/+Mwm9\nezM+Lo5NBw6wNyeHk+fO2dsNGTKEnTt31mtb/pyXoqysjO3bt9uTrrS0NEpKSpza2CoY2hKv+Pj4\nRhF0d+zYwYgRI5yWhTZrxu2DBjHztgn8V+rrLB/3mFMlLYCpL7/MtDlzAqbKUiCQJKvpMOMcffHi\nRWKioigvL2dMnz7O59aUFNIyMwkLCyPr5Em3CZZNdXU1LyQn8+LvN1JdswTIAjoBtwDQLPhW5v12\nLPPmz+fNN9/ksccec9nG9OnTWbFiBYsWLmThon3Ax9Y1BVieE+sBzCB5/qA6z6tvv/02H//1r3z2\nq18BMGHBBsM5t8b3e5yNC28Grn6+MCsOmRk3AikGXQ9qH1c2q7/f4nEcqqiosCdcRsU5cnNzr5qE\nubsTFhMTQ3R0dEAnYT5Lsqx/rAvwGDAUy1P8O4H/0VrnN6QDZpDgVjdJsnzfr7NnzzJ37ly2pKZS\nUV5OaPPmJCQlsXTpUqex755wrApUUlxM6zZtSEhMpGvXrmzbto2uXbvy85//3OV96enpvPXWW/ZC\nDzExMVy5csVlW/6uMFRVVcXevXudimnUnuy5bdu2JCYmNooKhtPuuIPIK1cIDgoi5dAh9p88yaSb\nbuJ8xCW2jjvKqJRepP/kRZRSXCoro7S8nM937uSb8+dZ+Z5/7iwHIkmymg4zz9G7d+9m4sSJVF6+\nTJBS1GhNSHg4X3/9NYMHD67XtpKSnmfz5kUuyxMTnyc11bI8KyuLLVu2uHzBnD59Os8//7z1c8yk\nuHiF9d3LgKcAUCqUIUPi6dGjB/fddx/33us66OfB++/n1vbt7YUhPEmylm/Y4NH5wqw4ZBSDrjVu\nmLkt4V7t4wosd7FG/+9vXeKQjafHlU1lZaU9CTMqznHy5MmrJmG1JzR3/PF3EmZGDPK4wL41mZrf\nkD8mxPWiQ4cOLF++3JRt1TWXxLRp09y+78svv+Stt97irbfeAiAqKoqkpCRmzZoVUF/mbYUxqlw3\ncgAAIABJREFUhg4daljBMDU1lezsbJcKhqNGjbIPLxw9enTAVDCsqqhg0uDB3GG9o3X+0iXe3bKZ\nZ66scqmktWbbNh7685/pdsMNNAsPZ+XKlfWqYCjE9Wbw4MH2qoMN5e6OieNy2xe+ujgPbQ4D+gJZ\naF3Gzp072blzJ0OGDDF874GDBzlWVsbe7Gx6dOzI2ZICYC/QE2hl+B5P55EyKw6ZOZ9RoM2N1FT5\nYn6ykJAQYmNj3RaAqqys5NSpU27nCcvNzSUvL4+8vDzS0owLp10tCfNkQnN/qjPJUkq1BJYAdwLN\ngfXAz7VlplUhRAC7//77adu2rT1Zyc3N5R//+AejR4/mtttu83f33FJK0bdvX/r27cujjz4KGFcw\ndJw4MJAqGNaeFyYiPJyVR1IM54UpLC6mRWgop86fh/Pn7aWuf/Ob3/Diiy/6pf9CiIb4ifVH07r1\n/axf/zRZWVkMGDDAsPWl0lJ2HzvGliNHHJZ+BSzFMve1s8N5eezJzqZ5gH+5FP4VCPOThYSE1HmR\noqqqqs4k7OTJk+Tn55Ofn096errhNhyTsNrPhNkmNPenq93JWgjMAlYC5cADwOvAPV7ulxCigfr3\n70///v355S9/SU1NDQcPHiQlJYVJkyYZtp8zZw4nTpywD8kbOXKk309QNtHR0UyfPp3p06cD/65g\naEu8du3axbZt29i2bRsvv/wy4L8KhvWZF+bpqVN5YtIkbv7d7+g2YABlZWWkpqa6HfaUnp5OSEgI\ngwcPplkzjwciCCF8ThEUZLnjPmrUKLetHp41i4+WL+e+hASyzpzhn99lcP5yONDbsP3ijz9mhXVO\npIiICPsXyqeffpqkWvNdietXY5ifrFmzZsTExBATE8P48eNd1tuSMHeTNefk5Fw1CevcubPh82C2\n/3r7O87VovQ04BGt9XsASqmVwHdKqWB3c4WIwNO5cxnwsJvl/hEXFwYku1leP2Z+PjP7FUiCgoKI\nj48nPj7ebZsvv/ySkydPsn79egBCQ0MZMWIEb7/9ttvJEv2lY8eO3HXXXdx1112AcQXD/fv3s3//\nfl5//XUAYmNj7QnXuHHjvFbB8P777+fXv/wlJwoLie3Uie+yMhhe3BPlcP9fA5srMrh7aAKnzp/n\ncH4+67dvp2XLltTU1FBdbXx6/e1vf8uGDRto1aoVY8aMsX+WUaNGBfQDxOL6FogxCMw73zfk8z31\n1FO8+vLL3DN6NLGdOlFVbasu+LX1x9qnrlUAhIWGEhwURPOwMIqKiti9eze7d+/mkUceMdz+s88+\nS0ZGhssXzT59+gTMRTRhvvrGoROFhWw5coT3DSf89g/HJGzcuHEu66uqqsjLy3M7WXNOTg4FBQUU\nFBSwZcsWw78RGRnpdjiiGeosfKGUqgBitdanHJZdAeK01idN6YEJ5IFjIRquoKDA/gxUSkoKe/fu\nBeDChQuG1bouXLhARESEr7vpkbKyMnbs2GEfXvjdd9+5VDCMjIx0SrrMrGDorXlhnnjiCb766iuX\nSVbreuajsZLCF+J6cS3niwULF3L27Fn7F8rx48fTyaA0+qhRo9i2bZvL8vXr13Prrbe6LN+yZQvN\nmzenR48etGvXLiCn0hCeud7nJ6uurnZKwmonYzk5OVRWVta5Da9WF1RKVQOdtdZnHJaVAIO01ica\n8ofNpJTSwcH3AdCq1TmKitbX6/1mzrNk1rYCZe4nb23LzD4J7ygqKmLPnj2Gt/EvXbpERESEfX4r\nW6LSo0ePgAzKtSsYpqamcubMGac2jhUMk5KSGD58+DVXMPT2vDB5eXn2CZ937txJamqq4fvnz5/P\n4MGDSUxMNPwCFsgaY5J1rXEoEGOQmdsKxBhk9rYawpvniz179nDkyBGXL5qffvopPXv2dGl/0003\n2S+wtWnTxn5Vf9myZW4LHIjAJPOT1a26upr8/Hy3z4QdO3as4TFIa+32B6jBcr/6U4efSuBfjsvq\n2oYvfgANWoPWwcH36fpq23am/f2OP23bzvTbtszs0/jxCwy3NX78Ar9ty8w+Cd/bsWOHbtmypbb8\n2/v3z7Bhw/zdNY/U1NToQ4cO6TfeeEM/+OCDOiYmxuWztGjRQk+YMEHPnz9fr1+/Xl+6dKlef6Oq\nqkoveP553T4iQv9g5Ej99mOP6Y9/9Sv99mOP6R+MHKnbR0To5PnzdVVVlVc+Y1ZWltPn6dOnj549\ne7ZetWqVV/6e2Szhyb+xpT4/DYlDgRiDzNxWIMYgs7fVUP4+X9j8+Mc/1vHx8To8PNzp/HHy5EnD\n9j/84Q/1D3/4Q/2zn/1M//GPf9Qffvih/v7773VFRYVX+yk8EyjHVWNkRgy62jNZKwyWrbymbE4I\n0WQMGzaMoqIidu3aZR9euHnzZrdXOgsLC8nOzmbIkCEBUbDBsYLh7NmzgX9XMLR9ntoVDIODgxk2\nbJj9rt3VKhgGBweT/MIL/PrZZ3nvvff4Zt06SrKyaN2mDdPmzOF9L88LExoaSnJyMikpKaSnp3P4\n8GEOHz7M1q1beeCBB7z2d4UQ9efv84XNu+++C1guwJ8/f95+Vb9Lly4ubWtqali3bh3l5eUu686e\nPUv79u1dlq9du9ZejKB9+/YBOfKhKQmU4+p6Vee3Ha31LF91RAjRuISEhDBy5EhGjhxpr2BYXFxs\n2Pbjjz/mJz/5CeHh4faCDUlJSYwaNSpgHr6uq4JhamoqO3futFcw/OMf/wj8u4KhLfEyqmDor3lh\nunTpwoIFCwCoqKiwDys0er4OIC0tjaVLl9qfU5MKhkL4XqDMI6WUon379rRv355hw4a5bZeWluYy\nzOr06dOGF6AqKyu544477BPUhoeH24cjrlmzRs43XhQox9X1Ro5oIYQpgoKCaNeundt1vXv35siR\nI6xfv95ewfDZZ59l8eLFvuymx2pXMCwpKSE9Pd3+XNfWrVv9VsGwvkJDQ0lISCAhIcFtm/Xr17Nm\nzRrWrFkDYK9gOGfOnDonvRZCXJ+CgoLsE8l74tKlS0ydOtWejBUXF3PgwAEKCgoME6zS0lJGjBjh\nUvUtNjaW4cOHm/1xhDCdJFlCCK+bPXs2s2fPdqpgmJqaalhUA+CTTz6hsrKSpKQkIiMjfdxbY61b\nt+b222/n9ttvB4wrGJ44cYITJ06wYoVlpHVkZKTTXF0DBw4M2AeLZ82aRXR0tH245LFjx1i3bh1T\npkwxbF9TU0NQUJCPeymEaKwiIiL45JNP7K+LiorIysriwoULhu2zs7M5ePAgBw8edFoeFRXFyZOu\nBa4vX77M559/bk/GOnbsGBAXucT1q8kkWcHBltr+rVqdq/d7zZzDw6xtBercT2Ztq6nORyXq1rlz\nZ+655x7uuafu+cwXL17M1q1bAYiLi7MPybvjjjvc3i3ztbCwMBITE0lMTAT+XcHQlqSkpqZy+vRp\nVq9ezerVqwFLBcOxY8fak66GVDA0W3R0NLNmzWLWLMsocVsFw5EjRxq2/6//+i/27t1r/yxJSUmN\nroKh2a41DgViDDJzW4EYg8zelqi/du3auZ14HaBnz57s3r3bZTiiu2dhMzMzue++++yvW7RoQUxM\nDImJibz55pum91+Iq6mzhHtjoZTS48dbnj3wdwnwQCkJ6ygQ+2Smpv75rkeLFy/m22+/JS0tjdLS\nUvvyw4cPB9zEyO5orTl8+LBTMY3s7GynNmFhYSQkJNjvdiUkJNCqVSs/9bh+evXq5TJfV58+ffjg\ngw8YOHBgg7ffGEu4B0IcCsTzYSD2yUxN/fM1Fvv27WPBggX2ZMx2h+zWW2+1D1F3tG3bNmbOnOk0\nFDEmJob+/fszaNAgX3dfBBgzYlCTuZO1aVOy9bfkOlp5X2ZmmUNfHBkt841A7JOZmvrnux4999xz\nPPfcc1RWVtorGO7evZvevXu7tNVa89BDDzFkyBDGjRvXZCoYJiUlkZiYaFihKxDs3buXrVu32u/a\npaWlkZmZSffu3Q3bnzhxImDnUTNLIMShQDwfBmKfzNTUP19jMXDgQD766CP764sXL5KdnY27mwnH\njh0jIyODjIwMp+VTp07ls88+c2mflZXFli1b7AlZZGRkkz6fiYbz/zcRIYRww7GCoTuHDh1i1apV\nrFq1CrBUrBo9ejS33norzzzzjK+66pHaFQzPnj1rn1TYXQXDAQMGOA3Ji4qK8udHsGvZsiU333wz\nN998M2CpHHbw4EHD4ZylpaXExcXRtm1bp2fUpIKhEMJb2rZtW+cdqTvuuIO9e/fa73xlZ2eTlZXF\nqFGjDNtv2LDBqTpfWFgY0dHRPPTQQ8ybN8/0/ovGT6KbEKJR69KlCytWrLAnKpmZmfzrX/+itLQ0\n4JKs2jp06MCdd97JnXfeCRhXMDxw4AAHDhxwqmDomKj07t07IK6mhoSEcNNNNxmuy8rKolOnTuTl\n5TlVMOzZs6fLkEMhhPCFli1bMnDgQI+HN3ft2pW7777bnpSdO3eOzMxMLl68aNj+rbfeYsmSJfZh\niLY7YMOHD280w95Fw0iSJYRo1CIiIpgxYwYzZswAsFcwbN68uWH7zz//nHnz5jklKoFawbC8vJzt\n27fbhxc6VjB85513gMZRwbB///7k5uZy/Phxp8Ig7q4y5+fn+7iHQghRt4kTJzJx4kT760uXLpGd\nne32OdrMzEz7j6N58+axaNEil/bbtm3j6NGj9mSsc+fOUsG1kZMkSwjRpNgqGLqzadMmdu/eze7d\nu/nTn/4EWCoYPvPMMwE3UWPz5s3tFQyfe+45qqur2bNnj0cVDG2JV6BUMFRKceONN3LjjTfy8MMP\nA5Yk0ojR8xBCCBFIWrVqxYABA9yunz9/PjNmzHAaipiVlcWIESMM269atYr//u//tr8ODQ0lOjqa\n5ORk+xBz0bg0mSRr/PhkwP+lVwOxJGwg9slMTf3zCXMtXLiQKVOm2BOV9PR0MjMzqampMWxfVFRE\nmzZtAuKKYnBwsH3yzyeffBKtNZmZmfaEy1bB8IsvvuCLL74AAruCobu7jT169PBtR0wSCHEoEM+H\ngdgnMzX1zyeuTXh4OAMGDKgzEXM0dOhQ7rnnHntSVlhYyNGjR922/9nPfsaXX37pMlnzhAkTAubZ\n3etdkynh3hQ+hxDC92wVDGNjY+nYsaPL+mnTprFp0yZ74YlAqmBo5OTJk053umpP5GlL1GzDCwO1\ngmFjLOEucUgIYZbLly+Tk5NDZGSk4dxgEydOZN26dS7LV69ezd133+2y/JNPPqG4uNiejHXt2jXg\nhpYHEjNikCRZQghRhyFDhrB7926nZeHh4WzevLnOiTQDRe0Khrt27aK6utqpzYABA5ye6wqEq6CS\nZAkhhHulpaVkZ2c7DUXMysoiOTmZvn37urQfP348KSkp9tfNmjWje/fuvPvuuyQkJLi011oHRFEl\nf5Eky0qCmxDCW7TWZGVlOd0dysrKoqioiBYtWri037RpEzfddJNhKfNAYKtgaPs8W7dudXk2KhAq\nGEqSJYQQ5lm6dCk7d+60J2MFBQUA7N+/33BI49ixY8nLy3MZjvijH/2IiIgIX3ff5yTJspLgJoTw\npQsXLhgGmfPnz9OhQwcABg0a5DS/VefOnX3dTY8YVTAsKSlxamOrYGhLvHxRwVCSLCGE8J4rV66Q\nk5NDbGysYXGkyMhICgsLXZYfPXqUG2+80WX5X/7yF1q2bGlPxqKiogJ2WL0nJMmykuAmhAgEGRkZ\nPPLII2zfvp3Kykr78h49enDixAk/9sxz1dXV7N2716mYxpkzZ5za+KKCoSRZQgjhP2VlZZw8edJp\nKGJWVhbLly93Od9rrWnXrh3FxcX2ZcHBwURFRfH9998bPvdbXV0d0M+ESZJlJcFNCBFIrly5wtat\nW0lNTSU1NZVevXrxl7/8xaXd0aNHWb9+PUlJSfTv3z8gKhjWVruCoW24pKOwsDBGjRplv3M3evTo\nBlcwlCRLCCEah6qqKpKTk52Ssby8PEJCQrhy5YpLbKupqaF169Z06NDBZTjijBkzAiL5kiTLSoKb\nEKIxWrZsGU899RQAN9xwA4mJiSQlJTFlyhT69+/v596554sKhpJkCSFE41VeXk5+fr7hlBwFBQV0\n7dqV2ufM1q1bc/HiRZdngCsrK1m0aJFTMta9e3dCQkK81v9GmWQppX4KPAwMBN7VWrud/VMp9RTw\na6AFsBp4TGtdadBOgpsQotH5+uuvWbFiBSkpKZw6dcq+fOHChcyfP9+PPasfWwVDW+JlRgVDbyVZ\n3ohB1rYSh4QQwkMVFRUuwxErKyt56aWXXNoeP37c5TmwoKAgbrrpJnbu3OnSvqamhqqqqgYNY2+s\nSdadQA0wEWjhLsAppSYCfwduBvKBNUC61vo3Bm0luAkhGq3aFQxnz57NqFGjXNotW7aMgoICxo0b\nx5gxY5pEBUNb4lW7gqEXkyzTY5C1vcQhIYTwgvz8fF5//XWnhCw3N5dhw4axfft2l/YHDx4kPj6e\nbt26Od39GjhwIPfee69Hf7NRJln2P6zUIqBbHQFuFXBCaz3P+vpmLFcduxi01ePHLwAsM6y/8caz\n9erLo4++RGZmmcvya9mWEEJ4y6BBg9i3bx9gCQC2Coa/+tWviI6O9nPv3HOsYJiamsrmzZuvWsFw\nyJAhXh0uaGYMsq6/5jgkMUgIIeqnoqKCoqIiOnXq5LLum2++4fbbb6empsZpeVJSktNcYTbHjx/n\n7bffdkrIevfu3eAYFMi1FQdguXJoswfopJSK0FpfqN1406Zk62/JtVddVWZmmcP7HdV/W0II4S1L\nlixh06ZNpKamsm3bNvbs2cOePXuYO3euv7tWp+bNm5OYmEhiYiLPPfecSwXD1NRUTp8+zerVq1m9\nerW/u2tTrxgE1x6HJAYJIUT9hIaGGiZYALfccgtlZWXk5uY63f3q2rWrYfvdu3fz4osvmt7HQE6y\nWgEXHV4XAwpoDRgGOCGEaMomTZrEpEmTAEsFw23btvH999/TvXt3l7ZVVVUMHDiQwYMH2+8OBUoF\nw+DgYIYMGcKQIUN48skn7RUMa0/47GcSg4QQopEKCQkhNjaW2NjYq7aNi4tjwYIFTglZdnZ2g/vg\n/2jr3iWgjcPrtoAGSoybJwPJZGVtZOPGjV7umhBC+FeLFi0YP348Tz/9tOH6vXv3kpGRwXvvvcdP\nf/pTBg4cSMeOHXnggQd83NOrU0qRn59Pbm4uPXv2ZObMmf7uEtQ7BoHEISGEaHzi4+OZMGECPXr0\nYMKECTz88MOmbDeQ72QdAG7CUtEJYDBw2t0wDduwih49kpkwYYLXOyeEEIFs8ODB7N+/3353yFbB\nsLCw0LB9WVkZNTU1tGzZ0sc9tZgwYYLTuXvhwoV+6YeDesYgkDgkhBCNkzdikM+TLKVUMBACBAPN\nlFLNgSqtdXWtpu8Ay5VS7wIFwDxguU87K4QQjVRQUBADBgxgwIAB/OQnP7FXMCwuLjZs/+mnn/Lg\ngw8yfPhwe5n1sWPHBmwFw2slMUgIIYQv+ONO1jxgAZZhFwDTgYVKqeXAQaCf1jpXa/21UmoJsAEI\nw3I1MdndRsePt6yKiwurd4cs73Hd9LVsSwghApFSqs6x6UePHqWqqor09HTS09P5wx/+gFKK5OTk\nRjVnlwe8EoPg2uOQxCAhhGh6/FbC3UwyP4kQQjRcUVERaWlp9iGG27dvZ/ny5UyfPt2l7b59+wgP\nDyc2NtZpfiuzeGueLG+ROCSEEE1Ho54ny0wS3IQQwnxXrlwBLEU2aps8eTJfffUVXbt2tQ8vNLOC\noSRZQggh/EWSLCsJbkII4VszZszgiy++4Ny5c07Lt2zZwqhRoxq8fUmyhBBC+IskWVYS3IQQwvdq\namo4dOiQfULhHTt2sH//fkJCQlzavvbaawwaNIhRo0Z5VMFQkiwhhBD+IkmWlQQ3IYQIXPn5+XTt\n2hWwTBA5fPhw+/DCH/zgB4bvkSRLCCGEv0iSZSXBTQghAldubi5Lly4lNTWV3bt3Yztf9+vXj4MH\nDxq+R5IsIYQQ/mJGDArkyYiFEEI0AVFRUbz22msAXLx4kbS0NFJSUujQoYNh+++//96X3RNCCCFM\nJ0mWEEIIn2nbti2TJ09m8uTJbtts2LDBhz0SQgghzNfwOrviurVx40Z/d+G6I/vcP2S/+9Z9993n\n7y6IRkD+Xfqe7HP/kP3eOEmSJa6Z/KP3Pdnn/iH73be6d+/u7y6IRkD+Xfqe7HP/kP3eOEmSJYQQ\nQgghhBAmkiRLCCGEEEIIIUzUZEq4+7sPQgghzNXYSrj7uw9CCCHMI/NkCSGEEEIIIUQAkeGCQggh\nhBBCCGEiSbKEEEIIIYQQwkSSZAkhhBBCCCGEiRpVkqWU6q2UuqKUeqeONk8ppfKVUkVKqb8ppUJ8\n2cem6Gr7XSk1UylVpZQqVkqVWP87ztf9bCqUUhut+9u2Pw/V0VaOdxN4us/lWDeXUup+pdRBpdQl\npdQRpdRYN+0C5jiXOOR7EoN8S2KQ70kM8h9vxqFGlWQBfwa2uVuplJoI/Bq4GYgBbgQW+qZrTVqd\n+90qTWvdRmvd2vrfFF90rInSwOMO+7OfUSM53k3l0T63kmPdBEqp24DFwEytdStgHHDcoF2gHecS\nh3xPYpBvSQzyPYlBfuDtONRokiyl1P3ABeCbOprNAN7SWmdorS8CLwCzfNG/psrD/S7M50nZUDne\nzdVoyoU3EcnAC1rr7QBa63ytdb5Bu4A5ziUO+Z7EIL+RGOR7EoN8LxkvxqFGkWQppdpgyRifpu6D\ncACwx+H1HqCTUirCi91rsuqx3wGGKKUKlVIZSql5SqlGcWwFsMXW/ZmqlBrvpo0c7+byZJ+DHOsN\nZt1nw7Ecr0eUUjlKqT8ppZobNA+I41zikO9JDPIriUG+JzHIh3wRhxrL/5gXgDe11nlXadcKuOjw\nuhjLibm1tzrWxHm63zcB8VrrTsDdwI+Bud7uXBP2a6An0A14E/hMKRVr0E6Od/N4us/lWDdHJBCC\nZR+OBQYDQ4B5Bm0D5TiXOOR7EoP8Q2KQ70kM8j2vx6GAT7KUUoOBW4FlHjS/BLRxeN0WyzjXEi90\nrUmrz37XWmdprbOtvx/AEhj/07s9bLq01tu11pe11pVa63eA74ApBk3leDeJp/tcjnXTXLH+97+1\n1oVa6/PAKwTocS5xyPckBvmPxCDfkxjkF16PQ83M6KWXjcfykFmOUkphySaDlVL9tdbDa7U9ANwE\nrLa+Hgyc1lpf8Flvm4767HcjMrbYPBrj/SnHu/e42+dG5FivJ611kVIqt/ZiN80D4TiXOOR7EoMC\nh8Qg35MY5GW+iEMBfycL+CuWKh6DsXzA/wXWArcbtH0HeEQp1c86TnIesNxXHW1iPN7vSqlJSqlO\n1t/7Ytnva3zX1aZDKdVWKXW7Uqq5UipYKTUdSAK+Mmgux7sJ6rPP5Vg31XLgZ0qpjtbj9yngM4N2\ngXCcSxzyPYlBfiAxyPckBvmVd+OQ1rpR/QALgHesv3fHMi4yymH9L4ACoAj4GxDi7z43hZ+69juw\n1LrPS4Cj1rbB/u5zY/wBOmApVXwROA+kAf9htN+ty+R49+E+l2Pd1P3eDPgfLJXj8oBXgdDGcJxL\nHAqsfS7/Lk3dzxKDAnify7Fu+r73ahxS1jcKIYQQQgghhDBBYxguKIQQQgghhBCNhiRZQgghhBBC\nCGEiSbKEEEIIIYQQwkSSZAkhhBBCCCGEiSTJEkIIIYQQQggTSZIlhBBCCCGEECaSJEsIIYQQQggh\nTCRJlhABQCk1UylVcpU2J5RST/uqT3VRSsUopWqUUkP93RchhBANIzFICPNJkiWElVJqufWkXa2U\nqlBKHVNKLVVKtaznNj69xi4E5MzgdXymgOyvEEI0RhKDjEkMEo1VM393QIgAsx54EAgFkoC3gBbA\nE/7sVIBS/u6AEEI0MRKDPCcxSAQ0uZMlhLNyrfUZrfUprfV7wErgTttKpVR/pdRapVSxUuq0Uupd\npVSkdd0CYCbwA4erkeOs6xYrpTKUUqXWIRd/UEqFNqSjSqk2Sqk3rP0oVkptUEoNc1g/UylVopT6\nD6XUPqXUJaXUt0qpmFrbeU4pVaCUuqiUeksp9bxS6sTVPpNVD6XUOqXUZaXUAaXUrQ35TEIIcZ2T\nGCQxSDQRkmQJUbdyoDmAUqoLsAnYCwwHbgHCgU+sbV8G3gf+BUQCXYA067pLwMNAX+Ax4D7gtw3s\n2xdAZ2AKMBhIAb6xBVyr5sCz1r+dALQD/te2Uil1PzAfeA4YBhwBnubfwzDq+kwAvwOWAYOA7cA/\n6jO0RQghRJ0kBkkMEo2UDBcUwg2l1EjgAWCdddFjwG6t9W8c2jwMnFNKDdda71BKXQFaaq3POG5L\na/2iw8scpdRi4JfAgmvs239gCSodtdbl1sULlFI/Ah7CEpgAgoHHtdZHre97GcvwE5ufA29rrZdb\nX7+klLoZ6G3t92Wjz6SUfZTGK1rrL6zLfgPMwBJsHYOgEEKIepIYJDFING6SZAnhbLKyVFhqZv1Z\ngyUIAAwFxivXCkwauBHY4W6jSqn/BJ4EegGtsASehtxJHorlCuZZh2ADlquGNzq8LrcFN6s8IFQp\n1U5rXYTlquYbtba9FWuA88A+2y9a6zxrXzp5+F4hhBDOJAZJDBJNhCRZQjjbBMwGqoA8rXW1w7og\nYC2Wq3+1H7g97W6DSqlRwD+wXDH8GigC7gCWNqCfQUABkGjQl2KH36tqrbMNwTBrqHClwTIZhiyE\nENdGYlD9SAwSAUuSLCGclWqtT7hZtxO4B8ipFfgcVWC5QuhoLJCrtf69bYFSqkcD+7kTy/h0XUd/\nPZEBjAD+7rBsVK02Rp9JCCGE+SQGSQwSTYRk+0J47n+AtsD7SqmRSqlYpdStSqm/KqXCrW2ygHil\nVJxSqr1SqhmQCXRTSj1gfc9jwP0N6YjW+l/Ad8AnSqlJSqkeSqnRSqlkpdTYq7zd8ao8J7toAAAB\nPUlEQVTja8DDSqlZSqleSqlfAyNxnn/E6DMJIYTwLYlBEoNEIyJJlhAe0lrnY7kiWA18CewH/gSU\nYakABfAmcAjL2PhCYIzWei2WYRmvAnuwVIR6/lq6UOv1FOBbLOPZM4D3gDgsY9492o7W+p/AImAx\nliuT/bFUfipzaO/ymdz0x90yIYQQDSQxSGKQaFyU1nI8CiH+TSn1ERCstb7D330RQghxfZEYJJoK\nueUqxHVMKdUCS1ngr7BcHb0b+BEwzZ/9EkII0fRJDBJNmdzJEuI6ppQKAz7DMq9ICywTQb5kHcIh\nhBBCeI3EINGUSZIlhBBCCCGEECaSwhdCCCGEEEIIYSJJsoQQQgghhBDCRJJkCSGEEEIIIYSJJMkS\nQgghhBBCCBNJkiWEEEIIIYQQJpIkSwghhBBCCCFM9P8BsMt7B3b762gAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12,3.2))\n", + "plt.subplot(121)\n", + "plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\", label=\"Iris-Virginica\")\n", + "plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\", label=\"Iris-Versicolour\")\n", + "plot_svc_decision_boundary(svm_clf1, 4, 6)\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.ylabel(\"Petal width\", fontsize=14)\n", + "plt.legend(loc=\"upper left\", fontsize=14)\n", + "plt.title(\"$C = {}$\".format(svm_clf1.C), fontsize=16)\n", + "plt.axis([4, 6, 0.8, 2.8])\n", + "\n", + "plt.subplot(122)\n", + "plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")\n", + "plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n", + "plot_svc_decision_boundary(svm_clf2, 4, 6)\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.title(\"$C = {}$\".format(svm_clf2.C), fontsize=16)\n", + "plt.axis([4, 6, 0.8, 2.8])\n", + "\n", + "save_fig(\"regularization_plot\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Non-linear classification" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure higher_dimensions_plot\n" + ] + }, + { + "data": { + "image/png": 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fyVqx5neSvHZVD7ZYLI79qZLj5MIyzJe+VecyyCfQObl9cumTS59c+s5ELjutJrEM6/xq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\nLZthAABmy2YYAIDZshkGAGC2/j++S7n2qTW6rQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X1D = np.linspace(-4, 4, 9).reshape(-1, 1)\n", + "X2D = np.c_[X1D, X1D**2]\n", + "y = np.array([0, 0, 1, 1, 1, 1, 1, 0, 0])\n", + "\n", + "plt.figure(figsize=(11, 4))\n", + "\n", + "plt.subplot(121)\n", + "plt.grid(True, which='both')\n", + "plt.axhline(y=0, color='k')\n", + "plt.plot(X1D[:, 0][y==0], np.zeros(4), \"bs\")\n", + "plt.plot(X1D[:, 0][y==1], np.zeros(5), \"g^\")\n", + "plt.gca().get_yaxis().set_ticks([])\n", + "plt.xlabel(r\"$x_1$\", fontsize=20)\n", + "plt.axis([-4.5, 4.5, -0.2, 0.2])\n", + "\n", + "plt.subplot(122)\n", + "plt.grid(True, which='both')\n", + "plt.axhline(y=0, color='k')\n", + "plt.axvline(x=0, color='k')\n", + "plt.plot(X2D[:, 0][y==0], X2D[:, 1][y==0], \"bs\")\n", + "plt.plot(X2D[:, 0][y==1], X2D[:, 1][y==1], \"g^\")\n", + "plt.xlabel(r\"$x_1$\", fontsize=20)\n", + "plt.ylabel(r\"$x_2$\", fontsize=20, rotation=0)\n", + "plt.gca().get_yaxis().set_ticks([0, 4, 8, 12, 16])\n", + "plt.plot([-4.5, 4.5], [6.5, 6.5], \"r--\", linewidth=3)\n", + "plt.axis([-4.5, 4.5, -1, 17])\n", + "\n", + "plt.subplots_adjust(right=1)\n", + "\n", + "save_fig(\"higher_dimensions_plot\", tight_layout=False)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import make_moons\n", + "X, y = make_moons(n_samples=100, noise=0.15, random_state=42)\n", + "\n", + "def plot_dataset(X, y, axes):\n", + " plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n", + " plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")\n", + " plt.axis(axes)\n", + " plt.grid(True, which='both')\n", + " plt.xlabel(r\"$x_1$\", fontsize=20)\n", + " plt.ylabel(r\"$x_2$\", fontsize=20, rotation=0)\n", + "\n", + "plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure moons_polynomial_svc\n" + ] + }, + { + "data": { + "image/png": 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VGy+n9NK/ruOv//uDrmrLJNLN3EFkdb27RD+Fnp9+ISefQgVnsdIWLFni5ZQa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\n8a6rXXv3JX0ut/rwZfJa1lN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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.pipeline import Pipeline\n", + "from sklearn.preprocessing import PolynomialFeatures\n", + "\n", + "polynomial_svm_clf = Pipeline((\n", + " (\"poly_features\", PolynomialFeatures(degree=3)),\n", + " (\"scaler\", StandardScaler()),\n", + " (\"svm_clf\", LinearSVC(C=10, loss=\"hinge\"))\n", + " ))\n", + "\n", + "polynomial_svm_clf.fit(X, y)\n", + "\n", + "def plot_predictions(clf, axes):\n", + " x0s = np.linspace(axes[0], axes[1], 100)\n", + " x1s = np.linspace(axes[2], axes[3], 100)\n", + " x0, x1 = np.meshgrid(x0s, x1s)\n", + " X = np.c_[x0.ravel(), x1.ravel()]\n", + " y_pred = clf.predict(X).reshape(x0.shape)\n", + " y_decision = clf.decision_function(X).reshape(x0.shape)\n", + " plt.contourf(x0, x1, y_pred, cmap=plt.cm.brg, alpha=0.2)\n", + " plt.contourf(x0, x1, y_decision, cmap=plt.cm.brg, alpha=0.1)\n", + "\n", + "plot_predictions(polynomial_svm_clf, [-1.5, 2.5, -1, 1.5])\n", + "plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n", + "\n", + "save_fig(\"moons_polynomial_svc_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure moons_kernelized_polynomial_svc\n" + ] + }, + { + "data": { + "image/png": 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fRPvdZwituL8gKy/FIgFEFjiduuR3Dl8m5KLR2wZyI171NLUfHaS377kEzzyR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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.svm import SVC\n", + "poly_kernel_svm_clf = Pipeline((\n", + " (\"scaler\", StandardScaler()),\n", + " (\"svm_clf\", SVC(kernel=\"poly\", degree=3, coef0=1, C=5))\n", + " ))\n", + "poly100_kernel_svm_clf = Pipeline((\n", + " (\"scaler\", StandardScaler()),\n", + " (\"svm_clf\", SVC(kernel=\"poly\", degree=10, coef0=100, C=5))\n", + " ))\n", + "\n", + "poly_kernel_svm_clf.fit(X, y)\n", + "poly100_kernel_svm_clf.fit(X, y)\n", + "\n", + "plt.figure(figsize=(11, 4))\n", + "\n", + "plt.subplot(121)\n", + "plot_predictions(poly_kernel_svm_clf, [-1.5, 2.5, -1, 1.5])\n", + "plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n", + "plt.title(r\"$d=3, r=1, C=5$\", fontsize=18)\n", + "\n", + "plt.subplot(122)\n", + "plot_predictions(poly100_kernel_svm_clf, [-1.5, 2.5, -1, 1.5])\n", + "plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n", + "plt.title(r\"$d=10, r=100, C=5$\", fontsize=18)\n", + "\n", + "save_fig(\"moons_kernelized_polynomial_svc_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure kernel_method_plot\n" + ] + }, + { + "data": { + "image/png": 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bmIhOH3bi5lo3c2/De90OJewcTDlInQl1+HXAr1QsU9Hv92/eDOeeaz2U86ZM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\nS3jkET/94Ydw223QoMHeuFn7hRc+dLBqEsDpp/tXunwwcyb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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def gaussian_rbf(x, landmark, gamma):\n", + " return np.exp(-gamma * np.linalg.norm(x - landmark, axis=1)**2)\n", + "\n", + "gamma = 0.3\n", + "\n", + "x1s = np.linspace(-4.5, 4.5, 200).reshape(-1, 1)\n", + "x2s = gaussian_rbf(x1s, -2, gamma)\n", + "x3s = gaussian_rbf(x1s, 1, gamma)\n", + "\n", + "XK = np.c_[gaussian_rbf(X1D, -2, gamma), gaussian_rbf(X1D, 1, gamma)]\n", + "yk = np.array([0, 0, 1, 1, 1, 1, 1, 0, 0])\n", + "\n", + "plt.figure(figsize=(11, 4))\n", + "\n", + "plt.subplot(121)\n", + "plt.grid(True, which='both')\n", + "plt.axhline(y=0, color='k')\n", + "plt.scatter(x=[-2, 1], y=[0, 0], s=150, alpha=0.5, c=\"red\")\n", + "plt.plot(X1D[:, 0][yk==0], np.zeros(4), \"bs\")\n", + "plt.plot(X1D[:, 0][yk==1], np.zeros(5), \"g^\")\n", + "plt.plot(x1s, x2s, \"g--\")\n", + "plt.plot(x1s, x3s, \"b:\")\n", + "plt.gca().get_yaxis().set_ticks([0, 0.25, 0.5, 0.75, 1])\n", + "plt.xlabel(r\"$x_1$\", fontsize=20)\n", + "plt.ylabel(r\"Similarity\", fontsize=14)\n", + "plt.annotate(r'$\\mathbf{x}$',\n", + " xy=(X1D[3, 0], 0),\n", + " xytext=(-0.5, 0.20),\n", + " ha=\"center\",\n", + " arrowprops=dict(facecolor='black', shrink=0.1),\n", + " fontsize=18,\n", + " )\n", + "plt.text(-2, 0.9, \"$x_2$\", ha=\"center\", fontsize=20)\n", + "plt.text(1, 0.9, \"$x_3$\", ha=\"center\", fontsize=20)\n", + "plt.axis([-4.5, 4.5, -0.1, 1.1])\n", + "\n", + "plt.subplot(122)\n", + "plt.grid(True, which='both')\n", + "plt.axhline(y=0, color='k')\n", + "plt.axvline(x=0, color='k')\n", + "plt.plot(XK[:, 0][yk==0], XK[:, 1][yk==0], \"bs\")\n", + "plt.plot(XK[:, 0][yk==1], XK[:, 1][yk==1], \"g^\")\n", + "plt.xlabel(r\"$x_2$\", fontsize=20)\n", + "plt.ylabel(r\"$x_3$ \", fontsize=20, rotation=0)\n", + "plt.annotate(r'$\\phi\\left(\\mathbf{x}\\right)$',\n", + " xy=(XK[3, 0], XK[3, 1]),\n", + " xytext=(0.65, 0.50),\n", + " ha=\"center\",\n", + " arrowprops=dict(facecolor='black', shrink=0.1),\n", + " fontsize=18,\n", + " )\n", + "plt.plot([-0.1, 1.1], [0.57, -0.1], \"r--\", linewidth=3)\n", + "plt.axis([-0.1, 1.1, -0.1, 1.1])\n", + " \n", + "plt.subplots_adjust(right=1)\n", + "\n", + "save_fig(\"kernel_method_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Phi(-1.0, -2) = [ 0.74081822]\n", + "Phi(-1.0, 1) = [ 0.30119421]\n" + ] + } + ], + "source": [ + "x1_example = X1D[3, 0]\n", + "for landmark in (-2, 1):\n", + " k = gaussian_rbf(np.array([[x1_example]]), np.array([[landmark]]), gamma)\n", + " print(\"Phi({}, {}) = {}\".format(x1_example, landmark, k))" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Pipeline(steps=(('scaler', StandardScaler(copy=True, with_mean=True, with_std=True)), ('svm_clf', SVC(C=0.001, cache_size=200, class_weight=None, coef0=0.0,\n", + " decision_function_shape=None, degree=3, gamma=5, kernel='rbf',\n", + " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False))))" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rbf_kernel_svm_clf = Pipeline((\n", + " (\"scaler\", StandardScaler()),\n", + " (\"svm_clf\", SVC(kernel=\"rbf\", gamma=5, C=0.001))\n", + " ))\n", + "rbf_kernel_svm_clf.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure moons_rbf_svc\n" + ] + }, + { + "data": { + "image/png": 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jIZmVfJVoaeunu+dJk0/uQQ6cMS3f+A83/ZXrjdqcIBc8DkYFpbMTRnqmHJnQ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\nz72PhrYPlrXy5ro9nhsOkaFCBkYo1IX7l4Z+FgzMo2Fr4k6oTl2fTD7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Hnz9fBqIbXJVJ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\nxHZyn16oyGL1o7H1gkc/WnIwrAxB0hoKFY3ijaW8vu0dZk8az2133Kbr3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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.svm import SVC\n", + "\n", + "gamma1, gamma2 = 0.1, 5\n", + "C1, C2 = 0.001, 1000\n", + "hyperparams = (gamma1, C1), (gamma1, C2), (gamma2, C1), (gamma2, C2)\n", + "\n", + "svm_clfs = []\n", + "for gamma, C in hyperparams:\n", + " rbf_kernel_svm_clf = Pipeline((\n", + " (\"scaler\", StandardScaler()),\n", + " (\"svm_clf\", SVC(kernel=\"rbf\", gamma=gamma, C=C))\n", + " ))\n", + " rbf_kernel_svm_clf.fit(X, y)\n", + " svm_clfs.append(rbf_kernel_svm_clf)\n", + "\n", + "plt.figure(figsize=(11, 7))\n", + "\n", + "for i, svm_clf in enumerate(svm_clfs):\n", + " plt.subplot(221 + i)\n", + " plot_predictions(svm_clf, [-1.5, 2.5, -1, 1.5])\n", + " plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n", + " gamma, C = hyperparams[i]\n", + " plt.title(r\"$\\gamma = {}, C = {}$\".format(gamma, C), fontsize=16)\n", + "\n", + "save_fig(\"moons_rbf_svc_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Regression\n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from sklearn.svm import LinearSVR\n", + "\n", + "rnd.seed(42)\n", + "m = 50\n", + "X = 2 * rnd.rand(m, 1)\n", + "y = (4 + 3 * X + rnd.randn(m, 1)).ravel()\n", + "\n", + "svm_reg1 = LinearSVR(epsilon=1.5)\n", + "svm_reg2 = LinearSVR(epsilon=0.5)\n", + "svm_reg1.fit(X, y)\n", + "svm_reg2.fit(X, y)\n", + "\n", + "def find_support_vectors(svm_reg, X, y):\n", + " y_pred = svm_reg.predict(X)\n", + " off_margin = (np.abs(y - y_pred) >= svm_reg.epsilon)\n", + " return np.argwhere(off_margin)\n", + "\n", + "svm_reg1.support_ = find_support_vectors(svm_reg1, X, y)\n", + "svm_reg2.support_ = find_support_vectors(svm_reg2, X, y)\n", + "\n", + "eps_x1 = 1\n", + "eps_y_pred = svm_reg1.predict([[eps_x1]])" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure svm_regression_plot\n" + ] + }, + { + "data": { + "image/png": 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ixYvp2bOnqatkMg8fPmTFihVMmbKUzMwDFN3iyN19AWvWBBT38TKrCOsAyoyT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\n8PHx4eTJk7z55pt6FVfPusvo7BxMjx4+ODsHs22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6dzP/nK+UigHQNG0uMAPwyr2xr6+v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\nCmFOZSoBLMiNGzfw8fHBxsYGHxM/HrFEu3fvZuLEifz5558AdOnShXn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LAAAM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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_svm_regression(svm_reg, X, y, axes):\n", + " x1s = np.linspace(axes[0], axes[1], 100).reshape(100, 1)\n", + " y_pred = svm_reg.predict(x1s)\n", + " plt.plot(x1s, y_pred, \"k-\", linewidth=2, label=r\"$\\hat{y}$\")\n", + " plt.plot(x1s, y_pred + svm_reg.epsilon, \"k--\")\n", + " plt.plot(x1s, y_pred - svm_reg.epsilon, \"k--\")\n", + " plt.scatter(X[svm_reg.support_], y[svm_reg.support_], s=180, facecolors='#FFAAAA')\n", + " plt.plot(X, y, \"bo\")\n", + " plt.xlabel(r\"$x_1$\", fontsize=18)\n", + " plt.legend(loc=\"upper left\", fontsize=18)\n", + " plt.axis(axes)\n", + "\n", + "plt.figure(figsize=(9, 4))\n", + "plt.subplot(121)\n", + "plot_svm_regression(svm_reg1, X, y, [0, 2, 3, 11])\n", + "plt.title(r\"$\\epsilon = {}$\".format(svm_reg1.epsilon), fontsize=18)\n", + "plt.ylabel(r\"$y$\", fontsize=18, rotation=0)\n", + "#plt.plot([eps_x1, eps_x1], [eps_y_pred, eps_y_pred - svm_reg1.epsilon], \"k-\", linewidth=2)\n", + "plt.annotate(\n", + " '', xy=(eps_x1, eps_y_pred), xycoords='data',\n", + " xytext=(eps_x1, eps_y_pred - svm_reg1.epsilon),\n", + " textcoords='data', arrowprops={'arrowstyle': '<->', 'linewidth': 1.5}\n", + " )\n", + "plt.text(0.91, 5.6, r\"$\\epsilon$\", fontsize=20)\n", + "plt.subplot(122)\n", + "plot_svm_regression(svm_reg2, X, y, [0, 2, 3, 11])\n", + "plt.title(r\"$\\epsilon = {}$\".format(svm_reg2.epsilon), fontsize=18)\n", + "save_fig(\"svm_regression_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "SVR(C=0.01, cache_size=200, coef0=0.0, degree=2, epsilon=0.1, gamma='auto',\n", + " kernel='poly', max_iter=-1, shrinking=True, tol=0.001, verbose=False)" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.svm import SVR\n", + "\n", + "rnd.seed(42)\n", + "m = 100\n", + "X = 2 * rnd.rand(m, 1) - 1\n", + "y = (0.2 + 0.1 * X + 0.5 * X**2 + rnd.randn(m, 1)/10).ravel()\n", + "\n", + "svm_poly_reg1 = SVR(kernel=\"poly\", degree=2, C=100, epsilon=0.1)\n", + "svm_poly_reg2 = SVR(kernel=\"poly\", degree=2, C=0.01, epsilon=0.1)\n", + "svm_poly_reg1.fit(X, y)\n", + "svm_poly_reg2.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure svm_with_polynomial_kernel_plot\n" + ] + }, + { + "data": { + "image/png": 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qlGVPQhDsHGdn59Spidi//krnb6abclxIypTjwYhxhA334GDEuExTkXXdH3Ip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\nm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SLimfP5HsBC5ZwyTkRykU/G+XkF8A1giJmNTVge+QywM82xO2PfWx37/ErgvXSTP/A/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\niEiF+X8SdJP55+HdJAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(9, 4))\n", + "plt.subplot(121)\n", + "plot_svm_regression(svm_poly_reg1, X, y, [-1, 1, 0, 1])\n", + "plt.title(r\"$degree={}, C={}, \\epsilon = {}$\".format(svm_poly_reg1.degree, svm_poly_reg1.C, svm_poly_reg1.epsilon), fontsize=18)\n", + "plt.ylabel(r\"$y$\", fontsize=18, rotation=0)\n", + "plt.subplot(122)\n", + "plot_svm_regression(svm_poly_reg2, X, y, [-1, 1, 0, 1])\n", + "plt.title(r\"$degree={}, C={}, \\epsilon = {}$\".format(svm_poly_reg2.degree, svm_poly_reg2.C, svm_poly_reg2.epsilon), fontsize=18)\n", + "save_fig(\"svm_with_polynomial_kernel_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Under the hood" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "iris = datasets.load_iris()\n", + "X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n", + "y = (iris[\"target\"] == 2).astype(np.float64) # Iris-Virginica" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure iris_3D_plot\n" + ] + }, + { + "data": { + "image/png": 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ZM6isrOTSq5SmpAivOSA2rKmJ+EBJnZnL5YLRaOSuP6fTicrKSni9XhQUFMBo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JxCQCYnk6neRqPx1NKh/H4/ysrKCiqqfD4ffvjDHwqGbZ7nJR+mhGiyLCv4TkjHgXy/0+nE4eEh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\nd0UA1spXKg1FKBTC7OwsiouLJUlJJpqMxsbGCPIAXM7aknY6cW8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2VSDEgWSsPEricB3i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\nhBBCCCGEcNv/AZMsHIYXItkMAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "def plot_3D_decision_function(ax, w, b, x1_lim=[4, 6], x2_lim=[0.8, 2.8]):\n", + " x1_in_bounds = (X[:, 0] > x1_lim[0]) & (X[:, 0] < x1_lim[1])\n", + " X_crop = X[x1_in_bounds]\n", + " y_crop = y[x1_in_bounds]\n", + " x1s = np.linspace(x1_lim[0], x1_lim[1], 20)\n", + " x2s = np.linspace(x2_lim[0], x2_lim[1], 20)\n", + " x1, x2 = np.meshgrid(x1s, x2s)\n", + " xs = np.c_[x1.ravel(), x2.ravel()]\n", + " df = (xs.dot(w) + b).reshape(x1.shape)\n", + " m = 1 / np.linalg.norm(w)\n", + " boundary_x2s = -x1s*(w[0]/w[1])-b/w[1]\n", + " margin_x2s_1 = -x1s*(w[0]/w[1])-(b-1)/w[1]\n", + " margin_x2s_2 = -x1s*(w[0]/w[1])-(b+1)/w[1]\n", + " ax.plot_surface(x1s, x2, 0, color=\"b\", alpha=0.2, cstride=100, rstride=100)\n", + " ax.plot(x1s, boundary_x2s, 0, \"k-\", linewidth=2, label=r\"$h=0$\")\n", + " ax.plot(x1s, margin_x2s_1, 0, \"k--\", linewidth=2, label=r\"$h=\\pm 1$\")\n", + " ax.plot(x1s, margin_x2s_2, 0, \"k--\", linewidth=2)\n", + " ax.plot(X_crop[:, 0][y_crop==1], X_crop[:, 1][y_crop==1], 0, \"g^\")\n", + " ax.plot_wireframe(x1, x2, df, alpha=0.3, color=\"k\")\n", + " ax.plot(X_crop[:, 0][y_crop==0], X_crop[:, 1][y_crop==0], 0, \"bs\")\n", + " ax.axis(x1_lim + x2_lim)\n", + " ax.text(4.5, 2.5, 3.8, \"Decision function $h$\", fontsize=15)\n", + " ax.set_xlabel(r\"Petal length\", fontsize=15)\n", + " ax.set_ylabel(r\"Petal width\", fontsize=15)\n", + " ax.set_zlabel(r\"$h = \\mathbf{w}^t \\cdot \\mathbf{x} + b$\", fontsize=18)\n", + " ax.legend(loc=\"upper left\", fontsize=16)\n", + "\n", + "fig = plt.figure(figsize=(11, 6))\n", + "ax1 = fig.add_subplot(111, projection='3d')\n", + "plot_3D_decision_function(ax1, w=svm_clf2.coef_[0], b=svm_clf2.intercept_[0])\n", + "\n", + "save_fig(\"iris_3D_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Small weight vector results in a large margin" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure small_w_large_margin_plot\n" + ] + }, + { + "data": { + "image/png": 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40fGoeLjDW2+FgqqiAhYuhBNOCD+HHw7NmjX+tfU+S1IltYugyHopKyuLOoT1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\n9u7+mZm1Ax4DVgI3RRtWes2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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_2D_decision_function(w, b, ylabel=True, x1_lim=[-3, 3]):\n", + " x1 = np.linspace(x1_lim[0], x1_lim[1], 200)\n", + " y = w * x1 + b\n", + " m = 1 / w\n", + "\n", + " plt.plot(x1, y)\n", + " plt.plot(x1_lim, [1, 1], \"k:\")\n", + " plt.plot(x1_lim, [-1, -1], \"k:\")\n", + " plt.axhline(y=0, color='k')\n", + " plt.axvline(x=0, color='k')\n", + " plt.plot([m, m], [0, 1], \"k--\")\n", + " plt.plot([-m, -m], [0, -1], \"k--\")\n", + " plt.plot([-m, m], [0, 0], \"k-o\", linewidth=3)\n", + " plt.axis(x1_lim + [-2, 2])\n", + " plt.xlabel(r\"$x_1$\", fontsize=16)\n", + " if ylabel:\n", + " plt.ylabel(r\"$w_1 x_1$ \", rotation=0, fontsize=16)\n", + " plt.title(r\"$w_1 = {}$\".format(w), fontsize=16)\n", + "\n", + "plt.figure(figsize=(12, 3.2))\n", + "plt.subplot(121)\n", + "plot_2D_decision_function(1, 0)\n", + "plt.subplot(122)\n", + "plot_2D_decision_function(0.5, 0, ylabel=False)\n", + "save_fig(\"small_w_large_margin_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.svm import SVC\n", + "from sklearn import datasets\n", + "\n", + "iris = datasets.load_iris()\n", + "X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n", + "y = (iris[\"target\"] == 2).astype(np.float64) # Iris-Virginica\n", + "\n", + "svm_clf = SVC(kernel=\"linear\", C=1)\n", + "svm_clf.fit(X, y)\n", + "svm_clf.predict([[5.3, 1.3]])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Hinge loss" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure hinge_plot\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = np.linspace(-2, 4, 200)\n", + "h = np.where(1 - t < 0, 0, 1 - t) # max(0, 1-t)\n", + "\n", + "plt.figure(figsize=(5,2.8))\n", + "plt.plot(t, h, \"b-\", linewidth=2, label=\"$max(0, 1 - t)$\")\n", + "plt.grid(True, which='both')\n", + "plt.axhline(y=0, color='k')\n", + "plt.axvline(x=0, color='k')\n", + "plt.yticks(np.arange(-1, 2.5, 1))\n", + "plt.xlabel(\"$t$\", fontsize=16)\n", + "plt.axis([-2, 4, -1, 2.5])\n", + "plt.legend(loc=\"upper right\", fontsize=16)\n", + "save_fig(\"hinge_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Extra material" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Training time" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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epJHqVNNzizYEGpM/XaEWoRU2I92ohdE+lhAMTos+x+O5N2oUkla1OrZB8XbY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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X, y = make_moons(n_samples=1000, noise=0.4)\n", + "plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n", + "plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[LibSVM]0 0.1 2.2511401176452637\n", + "[LibSVM]1 0.01 1.5425100326538086\n", + "[LibSVM]2 0.001 1.6408278942108154\n", + "[LibSVM]3 0.0001 2.3032329082489014\n", + "[LibSVM]4 1e-05 2.1392781734466553\n", + "[LibSVM]5 1.0000000000000002e-06 1.6126348972320557\n", + "[LibSVM]6 1.0000000000000002e-07 1.5042338371276855\n", + "[LibSVM]7 1.0000000000000002e-08 1.4637031555175781\n", + "[LibSVM]8 1.0000000000000003e-09 1.5253281593322754\n", + "[LibSVM]9 1.0000000000000003e-10 1.483699083328247\n" + ] + }, + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import time\n", + "\n", + "tol = 0.1\n", + "tols = []\n", + "times = []\n", + "for i in range(10):\n", + " svm_clf = SVC(kernel=\"poly\", gamma=3, C=10, tol=tol, verbose=1)\n", + " t1 = time.time()\n", + " svm_clf.fit(X, y)\n", + " t2 = time.time()\n", + " times.append(t2-t1)\n", + " tols.append(tol)\n", + " print(i, tol, t2-t1)\n", + " tol /= 10\n", + "plt.semilogx(tols, times)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Identical linear classifiers" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SGDClassifier(alpha=0.002): [ 0.044] [[ 0.79840906 -1.48586286]]\n", + "SVC: [ 0.04569242] [[ 0.79788013 -1.48716383]]\n", + "LinearSVC: [ 0.0455673] [[ 0.79762992 -1.48668778]]\n" + ] + } + ], + "source": [ + "from sklearn.svm import SVC, LinearSVC\n", + "from sklearn.linear_model import SGDClassifier\n", + "from sklearn.datasets import make_moons\n", + "from sklearn.preprocessing import StandardScaler\n", + "\n", + "X, y = make_moons(n_samples=100, noise=0.15, random_state=42)\n", + "\n", + "C = 5\n", + "alpha = 1 / (C * len(X))\n", + "\n", + "sgd_clf = SGDClassifier(loss=\"hinge\", learning_rate=\"constant\", eta0=0.001, alpha=alpha, n_iter=100000, random_state=42)\n", + "svm_clf = SVC(kernel=\"linear\", C=C)\n", + "lin_clf = LinearSVC(loss=\"hinge\", C=C)\n", + "\n", + "X_scaled = StandardScaler().fit_transform(X)\n", + "sgd_clf.fit(X_scaled, y)\n", + "svm_clf.fit(X_scaled, y)\n", + "lin_clf.fit(X_scaled, y)\n", + "\n", + "print(\"SGDClassifier(alpha={}): \".format(sgd_clf1.alpha), sgd_clf.intercept_, sgd_clf.coef_)\n", + "print(\"SVC: \", svm_clf.intercept_, svm_clf.coef_)\n", + "print(\"LinearSVC: \", lin_clf.intercept_, lin_clf.coef_)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Linear SVM classifier implementation using Batch Gradient Descent" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# Training set\n", + "X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n", + "y = (iris[\"target\"] == 2).astype(np.float64).reshape(-1, 1) # Iris-Virginica" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.],\n", + " [ 0.]])" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.base import BaseEstimator\n", + "\n", + "class MyLinearSVC(BaseEstimator):\n", + " def __init__(self, C=1, eta0=1, eta_d=10000, n_epochs=1000, random_state=None):\n", + " self.C = C\n", + " self.eta0 = eta0\n", + " self.n_epochs = n_epochs\n", + " self.random_state = random_state\n", + " self.eta_d = eta_d\n", + "\n", + " def eta(self, epoch):\n", + " return self.eta0 / (epoch + self.eta_d)\n", + " \n", + " def fit(self, X, y):\n", + " # Random initialization\n", + " if self.random_state:\n", + " rnd.seed(self.random_state)\n", + " w = rnd.randn(X.shape[1], 1) # n feature weights\n", + " b = 0\n", + "\n", + " m = len(X)\n", + " t = y * 2 - 1 # -1 if t==0, +1 if t==1\n", + " X_t = X * t\n", + " self.Js=[]\n", + "\n", + " # Training\n", + " for epoch in range(self.n_epochs):\n", + " support_vectors_idx = (X_t.dot(w) + t * b < 1).ravel()\n", + " X_t_sv = X_t[support_vectors_idx]\n", + " t_sv = t[support_vectors_idx]\n", + "\n", + " J = 1/2 * np.sum(w * w) + self.C * (np.sum(1 - X_t_sv.dot(w)) - b * np.sum(t_sv))\n", + " self.Js.append(J)\n", + "\n", + " w_gradient_vector = w - self.C * np.sum(X_t_sv, axis=0).reshape(-1, 1)\n", + " b_derivative = -C * np.sum(t_sv)\n", + " \n", + " w = w - self.eta(epoch) * w_gradient_vector\n", + " b = b - self.eta(epoch) * b_derivative\n", + " \n", + "\n", + " self.intercept_ = np.array([b])\n", + " self.coef_ = np.array([w])\n", + " support_vectors_idx = (X_t.dot(w) + b < 1).ravel()\n", + " self.support_vectors_ = X[support_vectors_idx]\n", + " return self\n", + "\n", + " def decision_function(self, X):\n", + " return X.dot(self.coef_[0]) + self.intercept_[0]\n", + "\n", + " def predict(self, X):\n", + " return (self.decision_function(X) >= 0).astype(np.float64)\n", + "\n", + "C=2\n", + "svm_clf = MyLinearSVC(C=C, eta0 = 10, eta_d = 1000, n_epochs=60000, random_state=2)\n", + "svm_clf.fit(X, y)\n", + "svm_clf.predict(np.array([[5, 2], [4, 1]]))" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[0, 60000, 0, 100]" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(range(svm_clf.n_epochs), svm_clf.Js)\n", + "plt.axis([0, svm_clf.n_epochs, 0, 100])" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-15.56780998] [[[ 2.28129013]\n", + " [ 2.71597487]]]\n" + ] + } + ], + "source": [ + "print(svm_clf.intercept_, svm_clf.coef_)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-15.51721253] [[ 2.27128546 2.71287145]]\n" + ] + } + ], + "source": [ + "svm_clf2 = SVC(kernel=\"linear\", C=C)\n", + "svm_clf2.fit(X, y.ravel())\n", + "print(svm_clf2.intercept_, svm_clf2.coef_)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[4, 6, 0.8, 2.8]" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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y7ewyVbtq8G35dDqd/Pnnn2WjRo0MOdvZ2VlOnjxZPnz4UOvwzEqn02VYlEcV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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "yr = y.ravel()\n", + "plt.figure(figsize=(12,3.2))\n", + "plt.subplot(121)\n", + "plt.plot(X[:, 0][yr==1], X[:, 1][yr==1], \"g^\", label=\"Iris-Virginica\")\n", + "plt.plot(X[:, 0][yr==0], X[:, 1][yr==0], \"bs\", label=\"Not Iris-Virginica\")\n", + "plot_svc_decision_boundary(svm_clf, 4, 6)\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.ylabel(\"Petal width\", fontsize=14)\n", + "plt.title(\"MyLinearSVC\", fontsize=14)\n", + "plt.axis([4, 6, 0.8, 2.8])\n", + "\n", + "plt.subplot(122)\n", + "plt.plot(X[:, 0][yr==1], X[:, 1][yr==1], \"g^\")\n", + "plt.plot(X[:, 0][yr==0], X[:, 1][yr==0], \"bs\")\n", + "plot_svc_decision_boundary(svm_clf2, 4, 6)\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.title(\"SVC\", fontsize=14)\n", + "plt.axis([4, 6, 0.8, 2.8])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-14.062485 2.24179316 1.79750198]\n" + ] + }, + { + "data": { + "text/plain": [ + "[4, 6, 0.8, 2.8]" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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zaNiwIXPmzMnTMesyjya6KEl8fDxNOzTN03/vSqA6dIURQjB69GjOnj1L9erVuXbtGo0a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\n0pWScoGZwLMdGatzDRk6dCjvvfceEydOZMGCBRk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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.linear_model import SGDClassifier\n", + "\n", + "sgd_clf = SGDClassifier(loss=\"hinge\", alpha = 0.017, n_iter = 50, random_state=42)\n", + "sgd_clf.fit(X, y.ravel())\n", + "\n", + "m = len(X)\n", + "t = y * 2 - 1 # -1 if t==0, +1 if t==1\n", + "X_b = np.c_[np.ones((m, 1)), X] # Add bias input x0=1\n", + "X_b_t = X_b * t\n", + "sgd_theta = np.r_[sgd_clf.intercept_[0], sgd_clf.coef_[0]]\n", + "print(sgd_theta)\n", + "support_vectors_idx = (X_b_t.dot(sgd_theta) < 1).ravel()\n", + "sgd_clf.support_vectors_ = X[support_vectors_idx]\n", + "sgd_clf.C = C\n", + "\n", + "plt.figure(figsize=(5.5,3.2))\n", + "plt.plot(X[:, 0][yr==1], X[:, 1][yr==1], \"g^\")\n", + "plt.plot(X[:, 0][yr==0], X[:, 1][yr==0], \"bs\")\n", + "plot_svc_decision_boundary(sgd_clf, 4, 6)\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.ylabel(\"Petal width\", fontsize=14)\n", + "plt.title(\"SGDClassifier\", fontsize=14)\n", + "plt.axis([4, 6, 0.8, 2.8])\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exercise solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Coming soon**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + }, + "nav_menu": {}, + "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, + "toc_cell": false, + "toc_section_display": "block", + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/06_decision_trees.ipynb b/06_decision_trees.ipynb new file mode 100644 index 000000000..ffc141115 --- /dev/null +++ b/06_decision_trees.ipynb @@ -0,0 +1,686 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Chapter 6 – Decision Trees**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_This notebook contains all the sample code and solutions to the exercices in chapter 6._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# To support both python 2 and python 3\n", + "from __future__ import division, print_function, unicode_literals\n", + "\n", + "# Common imports\n", + "import numpy as np\n", + "import numpy.random as rnd\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "rnd.seed(42)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "\n", + "# Where to save the figures\n", + "PROJECT_ROOT_DIR = \".\"\n", + "CHAPTER_ID = \"decision_trees\"\n", + "\n", + "def image_path(fig_id):\n", + " return os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id)\n", + "\n", + "def save_fig(fig_id, tight_layout=True):\n", + " print(\"Saving figure\", fig_id)\n", + " if tight_layout:\n", + " plt.tight_layout()\n", + " plt.savefig(image_path(fig_id) + \".png\", format='png', dpi=300)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Training and visualizing" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DecisionTreeClassifier(class_weight=None, criterion='gini', max_depth=2,\n", + " max_features=None, max_leaf_nodes=None, min_samples_leaf=1,\n", + " min_samples_split=2, min_weight_fraction_leaf=0.0,\n", + " presort=False, random_state=42, splitter='best')" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.datasets import load_iris\n", + "from sklearn.tree import DecisionTreeClassifier, export_graphviz\n", + "\n", + "iris = load_iris()\n", + "X = iris.data[:, 2:] # petal length and width\n", + "y = iris.target\n", + "\n", + "tree_clf = DecisionTreeClassifier(max_depth=2, random_state=42)\n", + "tree_clf.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "export_graphviz(\n", + " tree_clf,\n", + " out_file=image_path(\"iris_tree.dot\"),\n", + " feature_names=iris.feature_names[2:],\n", + " class_names=iris.target_names,\n", + " rounded=True,\n", + " filled=True\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure decision_tree_decision_boundaries_plot\n" + ] + }, + { + "data": { + "image/png": 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Vry7j44//Fdfkw90TlsyEsnPnTm699R5GjPg9l102BIDevbuz//6Hc889D1NQ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\nRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib.colors import ListedColormap\n", + "\n", + "def plot_decision_boundary(clf, X, y, axes=[0, 7.5, 0, 3], iris=True, legend=False, plot_training=True):\n", + " x1s = np.linspace(axes[0], axes[1], 100)\n", + " x2s = np.linspace(axes[2], axes[3], 100)\n", + " x1, x2 = np.meshgrid(x1s, x2s)\n", + " X_new = np.c_[x1.ravel(), x2.ravel()]\n", + " y_pred = clf.predict(X_new).reshape(x1.shape)\n", + " custom_cmap = ListedColormap(['#fafab0','#9898ff','#a0faa0'])\n", + " plt.contourf(x1, x2, y_pred, alpha=0.3, cmap=custom_cmap, linewidth=10)\n", + " if not iris:\n", + " custom_cmap2 = ListedColormap(['#7d7d58','#4c4c7f','#507d50'])\n", + " plt.contour(x1, x2, y_pred, cmap=custom_cmap2, alpha=0.8)\n", + " if plot_training:\n", + " plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\", label=\"Iris-Setosa\")\n", + " plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\", label=\"Iris-Versicolour\")\n", + " plt.plot(X[:, 0][y==2], X[:, 1][y==2], \"g^\", label=\"Iris-Virginica\")\n", + " plt.axis(axes)\n", + " if iris:\n", + " plt.xlabel(\"Petal length\", fontsize=14)\n", + " plt.ylabel(\"Petal width\", fontsize=14)\n", + " else:\n", + " plt.xlabel(r\"$x_1$\", fontsize=18)\n", + " plt.ylabel(r\"$x_2$\", fontsize=18, rotation=0)\n", + " if legend:\n", + " plt.legend(loc=\"lower right\", fontsize=14)\n", + "\n", + "plt.figure(figsize=(8, 4))\n", + "plot_decision_boundary(tree_clf, X, y)\n", + "plt.plot([2.45, 2.45], [0, 3], \"k-\", linewidth=2)\n", + "plt.plot([2.45, 7.5], [1.75, 1.75], \"k--\", linewidth=2)\n", + "plt.plot([4.95, 4.95], [0, 1.75], \"k:\", linewidth=2)\n", + "plt.plot([4.85, 4.85], [1.75, 3], \"k:\", linewidth=2)\n", + "plt.text(1.40, 1.0, \"Depth=0\", fontsize=15)\n", + "plt.text(3.2, 1.80, \"Depth=1\", fontsize=13)\n", + "plt.text(4.05, 0.5, \"(Depth=2)\", fontsize=11)\n", + "\n", + "save_fig(\"decision_tree_decision_boundaries_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Predicting classes and class probabilities" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0. , 0.90740741, 0.09259259]])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tree_clf.predict_proba([[5, 1.5]])" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tree_clf.predict([[5, 1.5]])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sensitivity to training set details" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 4.8, 1.8]])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X[(X[:, 1]==X[:, 1][y==1].max()) & (y==1)] # widest Iris-Versicolour flower" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DecisionTreeClassifier(class_weight=None, criterion='gini', max_depth=2,\n", + " max_features=None, max_leaf_nodes=None, min_samples_leaf=1,\n", + " min_samples_split=2, min_weight_fraction_leaf=0.0,\n", + " presort=False, random_state=40, splitter='best')" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "not_widest_versicolour = (X[:, 1]!=1.8) | (y==2)\n", + "X_tweaked = X[not_widest_versicolour]\n", + "y_tweaked = y[not_widest_versicolour]\n", + "\n", + "tree_clf_tweaked = DecisionTreeClassifier(max_depth=2, random_state=40)\n", + "tree_clf_tweaked.fit(X_tweaked, y_tweaked)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure decision_tree_instability_plot\n" + ] + }, + { + "data": { + "image/png": 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BfTIijTx2ZPU8nsifqmXPPPJM8hcoIkCoGur4ocdHnTcTb1087s7kiZMzMvckXozJxpHM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\n+n+IT/Azhh3DQwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 4))\n", + "plot_decision_boundary(tree_clf_tweaked, X_tweaked, y_tweaked, legend=False)\n", + "plt.plot([0, 7.5], [0.8, 0.8], \"k-\", linewidth=2)\n", + "plt.plot([0, 7.5], [1.75, 1.75], \"k--\", linewidth=2)\n", + "plt.text(1.0, 0.9, \"Depth=0\", fontsize=15)\n", + "plt.text(1.0, 1.80, \"Depth=1\", fontsize=13)\n", + "\n", + "save_fig(\"decision_tree_instability_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure min_samples_leaf_plot\n" + ] + }, + { + "data": { + "image/png": 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PSgYNGqpckJKgd3HIND1eebiy4VTvTtTz9+ewDy/l6qu/SHV1ddG3k6RBlyLS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\niIiIiAT2/wECcUXWiO+JvgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import make_moons\n", + "Xm, ym = make_moons(n_samples=100, noise=0.25, random_state=53)\n", + "\n", + "deep_tree_clf1 = DecisionTreeClassifier(random_state=42)\n", + "deep_tree_clf2 = DecisionTreeClassifier(min_samples_leaf=4, random_state=42)\n", + "deep_tree_clf1.fit(Xm, ym)\n", + "deep_tree_clf2.fit(Xm, ym)\n", + "\n", + "plt.figure(figsize=(11, 4))\n", + "plt.subplot(121)\n", + "plot_decision_boundary(deep_tree_clf1, Xm, ym, axes=[-1.5, 2.5, -1, 1.5], iris=False)\n", + "plt.title(\"No restrictions\", fontsize=16)\n", + "plt.subplot(122)\n", + "plot_decision_boundary(deep_tree_clf2, Xm, ym, axes=[-1.5, 2.5, -1, 1.5], iris=False)\n", + "plt.title(\"min_samples_leaf = {}\".format(deep_tree_clf2.min_samples_leaf), fontsize=14)\n", + "\n", + "save_fig(\"min_samples_leaf_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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M7L/MbJ8o6hQRESlncbfs3wKuAm7s7EQzOxW4DDgROBw4EqgPtbq9sGjR0rhL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\nCnsREZGUU9iLiIik3P8HnW6CvW0UObkAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "angle = np.pi / 180 * 20\n", + "rotation_matrix = np.array([[np.cos(angle), -np.sin(angle)], [np.sin(angle), np.cos(angle)]])\n", + "Xr = X.dot(rotation_matrix)\n", + "\n", + "tree_clf_r = DecisionTreeClassifier(random_state=42)\n", + "tree_clf_r.fit(Xr, y)\n", + "\n", + "plt.figure(figsize=(8, 3))\n", + "plot_decision_boundary(tree_clf_r, Xr, y, axes=[0.5, 7.5, -1.0, 1], iris=False)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure sensitivity_to_rotation_plot\n" + ] + }, + { + "data": { + "image/png": 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pTJo0fktsswOBIk9m+eBzyVjdAYSZTQJOAn4GvAE4Ehgs+/olzrmrgTuB8t+q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\nkJxzbgRYCSw1szYzOwE4Dfh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/z3cIIpFpCZOIiIiIiESmAYSIiIiIiESmAUSTBgfv9R1C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\nEqfprvwAAAAHSURBVNn/D5ITexG+yxVmAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rnd.seed(6)\n", + "Xs = rnd.rand(100, 2) - 0.5\n", + "ys = (Xs[:, 0] > 0).astype(np.float32) * 2\n", + "\n", + "angle = np.pi / 4\n", + "rotation_matrix = np.array([[np.cos(angle), -np.sin(angle)], [np.sin(angle), np.cos(angle)]])\n", + "Xsr = Xs.dot(rotation_matrix)\n", + "\n", + "tree_clf_s = DecisionTreeClassifier(random_state=42)\n", + "tree_clf_s.fit(Xs, ys)\n", + "tree_clf_sr = DecisionTreeClassifier(random_state=42)\n", + "tree_clf_sr.fit(Xsr, ys)\n", + "\n", + "plt.figure(figsize=(11, 4))\n", + "plt.subplot(121)\n", + "plot_decision_boundary(tree_clf_s, Xs, ys, axes=[-0.7, 0.7, -0.7, 0.7], iris=False)\n", + "plt.subplot(122)\n", + "plot_decision_boundary(tree_clf_sr, Xsr, ys, axes=[-0.7, 0.7, -0.7, 0.7], iris=False)\n", + "\n", + "save_fig(\"sensitivity_to_rotation_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Regression trees" + ] + }, + { + "cell_type": "code", + "execution_count": 145, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure tree_regression_plot\n" + ] + }, + { + "data": { + "image/png": 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DCNROWIm/EuwlNxfef7/Er7UhkA4MH25M9nfKaYYFolnm0Xr7DKUDqTZin2rn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\nIKuiOaArEMX3CUAM9RiqLOnxp0cfnTz2058WH4tapqxjQfO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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.tree import DecisionTreeRegressor\n", + "\n", + "# Quadratic training set + noise\n", + "rnd.seed(42)\n", + "m = 200\n", + "X = rnd.rand(m, 1)\n", + "y = 4 * (X - 0.5) ** 2\n", + "y = y + rnd.randn(m, 1) / 10\n", + "\n", + "tree_reg1 = DecisionTreeRegressor(random_state=42, max_depth=2)\n", + "tree_reg2 = DecisionTreeRegressor(random_state=42, max_depth=3)\n", + "tree_reg1.fit(X, y)\n", + "tree_reg2.fit(X, y)\n", + "\n", + "def plot_regression_predictions(tree_reg, X, y, axes=[0, 1, -0.2, 1], ylabel=\"$y$\"):\n", + " x1 = np.linspace(axes[0], axes[1], 500).reshape(-1, 1)\n", + " y_pred = tree_reg.predict(x1)\n", + " plt.axis(axes)\n", + " plt.xlabel(\"$x_1$\", fontsize=18)\n", + " if ylabel:\n", + " plt.ylabel(ylabel, fontsize=18, rotation=0)\n", + " plt.plot(X, y, \"b.\")\n", + " plt.plot(x1, y_pred, \"r.-\", linewidth=2, label=r\"$\\hat{y}$\")\n", + "\n", + "plt.figure(figsize=(11, 4))\n", + "plt.subplot(121)\n", + "plot_regression_predictions(tree_reg1, X, y)\n", + "for split, style in ((0.1973, \"k-\"), (0.0917, \"k--\"), (0.7718, \"k--\")):\n", + " plt.plot([split, split], [-0.2, 1], style, linewidth=2)\n", + "plt.text(0.21, 0.65, \"Depth=0\", fontsize=15)\n", + "plt.text(0.01, 0.2, \"Depth=1\", fontsize=13)\n", + "plt.text(0.65, 0.8, \"Depth=1\", fontsize=13)\n", + "plt.legend(loc=\"upper center\", fontsize=18)\n", + "plt.title(\"max_depth=2\", fontsize=14)\n", + "\n", + "plt.subplot(122)\n", + "plot_regression_predictions(tree_reg2, X, y, ylabel=None)\n", + "for split, style in ((0.1973, \"k-\"), (0.0917, \"k--\"), (0.7718, \"k--\")):\n", + " plt.plot([split, split], [-0.2, 1], style, linewidth=2)\n", + "for split in (0.0458, 0.1298, 0.2873, 0.9040):\n", + " plt.plot([split, split], [-0.2, 1], \"k:\", linewidth=1)\n", + "plt.text(0.3, 0.5, \"Depth=2\", fontsize=13)\n", + "plt.title(\"max_depth=3\", fontsize=14)\n", + "\n", + "save_fig(\"tree_regression_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "export_graphviz(\n", + " tree_reg1,\n", + " out_file=image_path(\"regression_tree.dot\"),\n", + " feature_names=[\"x1\"],\n", + " rounded=True,\n", + " filled=True\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure tree_regression_regularization_plot\n" + ] + }, + { + "data": { + "image/png": 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kb2vF8DFkciCmDOgL1wLREb8OhBtUvXKlNQylapVQ5UNRlBCjRgGw55CP4L/w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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tree_reg1 = DecisionTreeRegressor(random_state=42)\n", + "tree_reg2 = DecisionTreeRegressor(random_state=42, min_samples_leaf=10)\n", + "tree_reg1.fit(X, y)\n", + "tree_reg2.fit(X, y)\n", + "\n", + "x1 = np.linspace(0, 1, 500).reshape(-1, 1)\n", + "y_pred1 = tree_reg1.predict(x1)\n", + "y_pred2 = tree_reg2.predict(x1)\n", + "\n", + "plt.figure(figsize=(11, 4))\n", + "\n", + "plt.subplot(121)\n", + "plt.plot(X, y, \"b.\")\n", + "plt.plot(x1, y_pred1, \"r.-\", linewidth=2, label=r\"$\\hat{y}$\")\n", + "plt.axis([0, 1, -0.2, 1.1])\n", + "plt.xlabel(\"$x_1$\", fontsize=18)\n", + "plt.ylabel(\"$y$\", fontsize=18, rotation=0)\n", + "plt.legend(loc=\"upper center\", fontsize=18)\n", + "plt.title(\"No restrictions\", fontsize=14)\n", + "\n", + "plt.subplot(122)\n", + "plt.plot(X, y, \"b.\")\n", + "plt.plot(x1, y_pred2, \"r.-\", linewidth=2, label=r\"$\\hat{y}$\")\n", + "plt.axis([0, 1, -0.2, 1.1])\n", + "plt.xlabel(\"$x_1$\", fontsize=18)\n", + "plt.title(\"min_samples_leaf={}\".format(tree_reg2.min_samples_leaf), fontsize=14)\n", + "\n", + "save_fig(\"tree_regression_regularization_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Exercise solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Coming soon**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + }, + "nav_menu": { + "height": "309px", + "width": "468px" + }, + "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, + "toc_cell": false, + "toc_section_display": "block", + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/07_ensemble_learning_and_random_forests.ipynb b/07_ensemble_learning_and_random_forests.ipynb new file mode 100644 index 000000000..f90425019 --- /dev/null +++ b/07_ensemble_learning_and_random_forests.ipynb @@ -0,0 +1,1101 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Chapter 7 – Ensemble Learning and Random Forests**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_This notebook contains all the sample code and solutions to the exercices in chapter 7._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# To support both python 2 and python 3\n", + "from __future__ import division, print_function, unicode_literals\n", + "\n", + "# Common imports\n", + "import numpy as np\n", + "import numpy.random as rnd\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "rnd.seed(42)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "\n", + "# Where to save the figures\n", + "PROJECT_ROOT_DIR = \".\"\n", + "CHAPTER_ID = \"ensembles\"\n", + "\n", + "def image_path(fig_id):\n", + " return os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id)\n", + "\n", + "def save_fig(fig_id, tight_layout=True):\n", + " print(\"Saving figure\", fig_id)\n", + " if tight_layout:\n", + " plt.tight_layout()\n", + " plt.savefig(image_path(fig_id) + \".png\", format='png', dpi=300)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Voting classifiers" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "heads_proba = 0.51\n", + "coin_tosses = (rnd.rand(10000, 10) < heads_proba).astype(np.int32)\n", + "cumulative_heads_ratio = np.cumsum(coin_tosses, axis=0) / np.arange(1, 10001).reshape(-1, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure law_of_large_numbers_plot\n" + ] + }, + { + "data": { + "image/png": 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TjTEdRGR+AdcKcB/gePwm/Cp0gDHGAG8Dh4Eyx1LJ/FoqzgJaAGRnu/omObs/OX/dLyio\n8Dl82G6vvDL03Mcf2+2119rt2LHRlWnrA59/brtSAUyZkn/+AQMC+5Ura1ChlFJKKfVPVSJbKowx\nLYFuwNMi8rSIjAIuBrYBr0ZZzJciMs7xmphP3nuBmsCofPKEl09U0c67XT1hAt9++y0AP/74I1dd\ndRVAyEDt2ChDPF9LRf/+x1LR6NSp4+72FMnNN9vWCd+C4b6gItIUu0oppZRS6u+rRAYVQFfsUg8j\nfQkikgV8CLQ2xtSIoowYY0y5gjIZYyoAg4HngbRjrWg0z9CX9+rFtd6mg86dO5OcnAzYoMLbE8pW\n2PunccUVdvvQQ5Cem0v/zZvJdTRp7Nxpt2WOqU0leu3b53++YkUYPx5uuikQCFWuDLm5cOjQiamT\nUkoppZQquUpqUHEusF5EDgelL3Scz48BNgNpxph0Y8xYY8ypEfK+BOwG/lfo2hYgUuARPPuTb6D1\n99/bX/yHDYNhO3cyZPt2ZqWm+vN162a30XaXKirG2O3Bg3YWqK++ssdbttigArQLlFJKKaXUP1FJ\nDSqqYx/0g+3GBgyn5XPtQWA40Ae4Edva0R2Ya4wp68xojDnbm+9RkcJ13Dme3j7OloqEhGZhWx6y\nw1TL1xpwIhebGzfOziqVm2sDnF27YPnywPmqVQP79erZQeRgZ4NSSimllFL/LCV1oHYikBUmPdNx\nPiwReTso6WtjzCLgM6Av7jEZbwPfi8jMQtf0GKKKOUGDFeLj4/0tFTk5wY0y1vw02yPLGf3dc49d\n7bpevWOp6LHp0cO+fE47LTB+IhzfTFDLltkxHyeqa5ZSSimllCp5SmpLxVEgXOeeBMf5qInIeGAP\n4J+S1hjTHWgFPF7IOkbN16Dw9ddfu9Lj4uL8LRV5eUdYsWJFyLUzvd2ejK/vEXbF63r1TmxLRTi1\nakU+5+z2VKlIJuRVSimllFJ/FSW1pWI34bs4Vfdufy9EmTsA5+Puq8DnQK4xpo43zbd8XG1jTGkR\nCdcFyy/lZ0haB9c40np4X06Rnv2dLRWQxbhx4xgyZEjYvLmOblAZGXa9iuLg8bgX6Bszxq6N4ZSd\nDb17w733QuPGUKFC0dcjM9N2yTrjjKIvWymllFKqpBg/fjzjx493paWlHfPcQidcSQ0qlgIdjDFl\ngwZrt8J2OFpaiDLrAsmO41rALcCtYfIme+9xXn4FVm4L7brAZ3flf2NfUOHJcy857Z79Kdu/fgVA\nrsdD00WL/MeZ3tmfNm2C5OTi615kjF0Q74037HG9enD//TBihDvfxx8H1sxwDgtJSbHjL4JXDj9W\nd98Nn30GR48GVhyPlscDLVvCd99BtWrHVw+llFJKqROpR48e9Ojh/sk6OTmZFi1aFFONwiup3Z++\nwAY8fXwJxph47AJ4C0RklzetljGmkfNCY0zl4MKMMX2BKsAPjuTrsIvrXed4TcQGLT2BR6OqaRRj\nKnxBRfqSdFe6e/anLA4fDsRPyzMy2HA00MvrG2//ovr1Yf784h2zMHQoNG8O3btD27bw2mv559+x\nw25zcuDUU223rSeftIv4GRMY5B0NY+zrs8/s8aPR/Sm5PP88LFkC1asXnFcppZRSShWsRLZUiMhC\nY8znwBBjTFUCK2rXAXo7so4F2uMOjrYZYyYCK7ADu9thZ39KxjFtrIh8G3xfY0xz7+7/iciBono/\nvqBi3x/7XOnx8fHceSe0YR7n4eGdDz7g/fffB6DX2rWuvKP37OGlkxv7j4t7IHSyo82noK5YGzbY\n8Rhnnx1Ie+01u3o3wIEDtjXDMWwkau+/H9pKUpCXX7bbiy469vsppZRSSqlQJbWlAuA24C1sq8Ew\n7LP5lSIyz5FHAE/QdZ8C5wMDgDeBFsB/gYtEJJMill9DxR3erS+oSMt093/zrag9j7YMD7p2tW/Z\nbAfnQOmjxzRU/cQqKBjw1TUoTmLr1sD+/PkF3yf4+sJwrCEY1crhSimllFKqYCU2qBCRbBF5SkRq\niMhJItJKRGYE5ekoIrFBafeKSDMRqSAiCSLSSESeFZHQp/TQew4SkVJF1UrhW9bBF1RIUAgSFxcX\n8drgSAkg74pd/v0ZM0LPr127lgMHiqyB5ZjMm2dX+haB88+3YxbmzrXnrrqq4JW2v/wy//OZmdCk\nSfhzL7wQfT3HjHEf79sXPp9SSimllIpeiQ0q/irya6nwLevgH6gt7lAhv6AirMc2uA6XHz7MEe/i\nEQcOHKBJkyacciwDFIpQmzZQo4bdr1IFFi6E9u0D5886K7B//vmh17/5Zv7l3357aNqwYXY7eHD+\n1953nw1yhg6FO++0abfdZrd16+Z/rVJKKaWUKpgGFUWgHnCZ43ihdxscVCzYucB1XWam++OvBOSJ\ncF2Y9Sr8YgKByTmLF3PXunUAxRZMhFOlSmiab7A2wKJFdjxFp07umaHy4xt/0bo1zJ4N6eng7T0G\nwNKl8PbbEPzRHT4MH3xg79mvXyDd12JRkrqRKaWUUkr9VWlQcZxEYAuw2JF2gXeb691GGg3/0kvu\n49LAFykpfLN/f+QbxnuADGZv2QP79jHhzDNDFs2rXbs2q1ativYtFNr6I0fICxMVOAOISLp2hZne\ndcyvuMLOCgV24Txj4MEH4ddfbZqza9Szz9oB1mXL2mllfS0OzZvDww+7B4MDvPoqIT77zD0OZGlh\nJihWSimllFJ+GlQUkXA/uAe3VABUcfyM75uFyMcAqbm55OeCtkuBsnQ4vbp/YMXUqVNdeXbs2MFZ\nzv5GRSw5PR0zezaNFi7kP87R1l6zZh1beZ06wf799kH/4EGb9u670KqVXdeia9dA3iuvDOzHxsLo\n0aHl/fvfgf1wXaN8Uz0/9pjdbtt2bPVVSimllFJuGlQcJ18wEW5gdVnKA+6gIr9xFHFAfH79gTwe\nfp3hGJAwciQATz/9dNjsubm5TJs2LXJ5QeafNp/k1skF5muxZIl/f0qYVpUFC0KSQrRsaYOI3Fy7\nQnheXvh8p54aGIMRJn6hVJjlyt95x338Kk/wv3sW0dy79qExQFoar170PQDXXRdY/yLa7lhKKaWU\nUiqgSIIKY0wZY0x1Y0wxr55QPHrF3Bq2peIUbJ8e53NvbKztDHX55T39adnYQCMeqBzuqXZRRbsN\nrJQXlbi4OC677DKMMXzuG5SQj+zd2RxacAgp4Mn60ooV/fu/HT4ccv6CC+zDebhY56GH7Na3WHhK\nSsGDpRctgl69oE6d/POlO9YWHDkS/u//4F8s4gle556RLUmmBT9c5h3dXaECpa69ir3ePyOfvXvz\nv4dSSimllApV6KDCGBNvjHnWGLMBOATsBA4ZYzYYY/p7V8D+2xOBGBNDRUJXgDPe0RTBLRWbN2/m\n/ff96/ARW8o+xJcGMsIFDq96F73LjH6ZjVJBP+GPHTs23/ziCQQSuQfy74JVLlzzQBhDhtiZl/z3\nELjxRneePXvgppsCx5dfHr4s3/iLcNLS7JS2ZcvC1VfbtD59bFm9cfePuuz/HrFLe3udSgoXMdue\n4weqVTd8OzCZ4d6FQ9assYPEf/4Zfvklv3erlFJKKfXPVaigwhiTCMwG/oNd5XoDMBdY7z0eDMz2\n5vvbEyPYERFuHm9acFBx+umnEx8f+Ghi8uxD/H1ARrjA4Y/SdltAS8VLjpHfeUH9iY4WMM1RzoHA\ng/a8yvPC5tn/w37S5qWR42jJOL9cuXzLHTHCrl+RlGSPy5d3n3/iCUh0fEsmTrQL4eXm2gHcPpdd\nRkTly9spbQG+/RYSOUIa5bmABfQlzHLb8e54dzYdAeEH7A0vGtSRhx6Cvn2haVPo1g3atbP3MAY6\nd4YvvrABzK5dBa/BoZRSSin1d1fYloqngFbAJOAMEWnsXYiuCXaG1Yne808WTTVLLvH+V6IMKnzd\nn95/P7SszoRpqbj/vMB+AYHBM888w6BBg8KeywizQrfT2l6B5aordgl0b0r7JY2DSXb09IorVvBb\n29/84yja/gQX908nx+MeUbI3O9u/n5KdTZXqHjp0sMfnnuu+r6/3VEoKZGdDuXJ22thSpeC77+D0\n0+35gtaicJrQfTLlSWcBrQOJb7wRKMzH0eIijr8KJ2OjhBFh4hGAH3+0rSvffQc1a8LJJ0dfN6WU\nUkqpv6PCBhXdgWQR6SEirglERWSniNwCLAFuPt4KlngCHhFMmKAidPannqxcaVPDPfs3APj9d3fi\nWvvTfuOvGtuf8SNJSCBmzhyeeu65sKcbNWrk38/xeLhr7Vq2OIKUA1MDK3EfnHaQBacvQPKE39r8\nxrJOy/DkBgIH490d/AJ0mQ6jJm9kx6KDmNmzuXjpUqrNn4+ZPZtcj4dT58/nHu9aGj5bt8KkSXbf\nN21s5coQPIbdGNi82XabqlYt8lt3SUvjmom3utOefx4efdQWNnRoIH35crjkkrDFJOAO4HyL5kUS\n4WNXSimllPpHKGxQUReYXkCeGd58f2sese0U4YY2+379DgQVY4HFroDCBM0bddULL4S9z9rh1WzH\n/mDXX2+3MfZeTRYupFOnTv7TrVu3pnnz5iQkJPjTOi9fzkd79lDP+0TvHJid2ND2RcrcmknGmkDr\nxudLA8FOhVSICzRG0OTG39nUchkAs1JT/ekPbLArgH+ydy8Hc3LI9ni4YMkSKtXIdY2jSE21g7EL\nmE03vIMHA2Mkfv4ZKlQIzeOcY/axx2yUImL7Nv34oyvrw7wFwKf0xODh4EGb9cMPbavKZ5+Fr8ZL\nL9lAUWePUkoppdQ/UWGDiiNAmHWTXap48/1tibEDjTHhuz+FW6cCTuLNNwNH8WS7zsalOzropwb9\ndF+/PgBjZs/m8qFD7UCF87zdo7xP5LuysqjrmE5p/vz5lCtXjnTv1Ei7s7KY7XjwXz5tj2sa2aPr\nA7/QL24WWNKv6vkb/ftf3QjTu4S8XRKCemeVcqwwtzkzk7MWLWJhejrlf/6Zeo55Z8eOtVPMDhkS\nWmaBKlWyYyS+/dYOfAgn3BLfTkeO2MEdL7/M59ho50a+Ir1SHVeMUqZMYJzHRx/ZRqXlywPnBw60\nsV316jB58jG8hxEjbLNMZmb+8+sqpZRSSpVQhQ0qFgA3G2PODHfSGNMU20Xqbz9fjuBrqQgNKpay\nEggOKuxsRTSeDOd+THyce52Halu2BA7uP8/1IzsXXAAxMTwUE0N139PtmjV26x3H0Oe007j1Vnf3\nH2dQcVrQFEYHLltL+q/pFIUfroCkjhDjfSYe4ejK9cD69exzjLXYkpnpXynbN81shEaayFJSAvvX\nXhvYnzrVzg1bpUp0M2YlJtqlt595hrkbTvMnlzmwE2529OBbvZoKh7aTng69Y8ZQfe5EmjWDfv3c\nxe3ZYxuQgnuyRdS3b6AeZcuCb8rexYth9+4oC1FKKaWUKj6FDSpeBhKARcaY4caYrsaYdt7tO8Ai\n7Ayphfnt+S/Hgwff7E+/OdLDt1R43Xw9XNeb+EdqupLj8jy2n03HjvS94QfXEABWrwaPh7S8PEbv\n2WPTqld3Xf/Orl107NiRjz76iOe8Hf2///57vv3229A6BHXVOfXWU0PzFMKFYSaPuqRiRdKCfoG/\n5rrj7Ct0773h0y+/3K6at28flC59TEXWrw8cCIwvYeJEeOQRWL8ezjwT6tShbFngjjv8Acdrr9mJ\nuV55xV1WjRq2AaJBg3xuGC5oSE+HDRvsqn+nnRZ6XimllFKqhClUUCEi84BbgGzgAexsT7O9277e\n9Fu8+f7WBI6x+5Nb6XA9Xbx9Z95770ZiY6EJ39KI611jKvyP447xEz4xc+bQu3dvBgdNmdTQtyqd\nd7amulvd15V6v4DV5YC08gVmoVxQw0dCTAwvbd8eku+qFct9Q0H8Nm0quHy/r7+2286dA2lRj+jO\nR8WK/s8IgGHDwDHQnfnzA/vebmfx8fDkk7Btm+2R5bRxo7cxYsYMG2WMHw/TptkBGvO8f0WaN3df\n1LBhYP/FF4//PSmllFJKnUCFXvxORD4HagG3A28BH3m3twO1ReSLIqnhX4Adpl24oCI+XFCx5kP/\nrjGwmmtZS2gn/ThjAr/En3JKgfXcsHAhfPABXHwxr59xBnUd6xM2/7k5G7MyucO7Vty/37bbQ45l\nKKZfCp7cM37mAAAgAElEQVQI35itjnjkibcN13rrc6RdOzIdD+g9q1blI+8D+rSDB8nI8pAcGNJB\n/fpwJC+PRQUt/uB86O/Rw27LlLFP8EXBGPcS3U4XXhh6b6/atW0DyRNP2MaMchyiDIft9LSXXmoz\n3XKLXXijZ8/Ayn9LltiAL9y0wc8/7w4ylFJKKaVKmEIHFQAiki4in4rI4yJyj3f7qYgUTSf9vwgb\nUsT49508hAkqegZGOZcON+NRZwLD4OcFGnuCy84RIadjR3tgQoOaFO8Yhgt8K8OBf1ra2xMSuLBU\nWQDia8Rz8oUnc9WKFWyrCx2TYGUzGDgAbvo8cOnr/aBKqVj/cYvFLeg4C66dDL0/hq1ner9O2cLk\nZs2QDh1IDFp9u3PFipxbtqz/+I/cbJo3dw+PKPPTT7RMTmZHfuMhdu70FtgZevWy3ZMOH7aBRVEp\nWxYGDADHzFkhvvgiZOqqUqXsEI3Ro+EQJ3OYcmFbslx8f37Oe9WrF9jfsMHm8a038ssvrpXBlVJK\nKaWK03EFFcoSPMSY8POh5uELKhwfdf3AbLxhWyrANnyUg5Ufu1fJuzQoW2xMDA8++CAvjB7tvnz2\nbE6dP58tR49yyS23hBTfvHlzduy1k3Nd8U62a1pZnzkdILu0DRo+mncKE5qf6W9+aXe0HeValOPT\npk045F387fqlgeBl3b3rmG1m88c3f/DtWWf5028+9VSalyvHs7VrA/CRd2xI5cp2cHPVGoEWiNoL\nFnA40jyzF11kt6+/HsXAheMwcKBtPUhOtrNE+TzwQGC/ZcvQRTYg8ixOY8e6j4PHu2zZAm+/DevW\n2daL1o5F/MqWte+3TRvb58qYsAGlUkoppdSfKaqgwhhzu/dVLui4wNeJrX7xE/Gtpy3kkcDLQecD\nQUUc1JkDZ05ynY8YVAA8Du/u/tSVFG5xkOHDhzPoqqvCFrE7O5tLu3YNSd+1axdmpW0JOFwW1joe\nmP9brx6zHUtfv/yvBnzSphk3VKlCYgO7jkWpBPuubq1a1Z/v5NhYTmp6kr3v/+wA5O2vbufqypXJ\nad+ePW3aEOcdRPFQTTtAfYxvwDl2cqu9ae4P5Pds95S7flu32q1j+twTYe3ateTl5dkxD4mJgUEf\nL70EU6a4M3uXBx8zZgwvGwOxsQT7csh62+3Jt1aGCFx9tTtT3bp2bQ3f9fOiGJrk+zyUUkoppYpB\ntC0VHwOjgepBx/m9fHkKxRgTb4x5xRiz0xhzxBizwBgTfvlj93UDjDGeMK8jQflqevP+aow5YIxJ\nMcYkGWMuPta62qDC8BM/ULHn3f70alTzBxVNOQd6d4CburuuDTtQG/xDNLadHHoqxvsLeH/vr/0F\n2RUh/Y4xdpsXC00XLQLgykqVeKp2bS5yLNBwt2OGqXLvlePUSe5ZohIdo60bjWzkOic5tgUkNiaG\nqvGBMRynevc3e7s47crK4um0NXA4DjId5S1cSPa+bH7/wDE/q3PGpHKOQR9F6PDhwxhjaNKkCWXL\nlmWIbxGNevVsIHDyycz3Tf3q06kThw4dYsYdd9Dfkeycv+mXlPpkZsKDD/pjkIIZY+/pWNvDvz6J\nz+mn2y5RqtilpwcakIyBa67JP39urh0Sddtt4cvSBRWVUkr9FYT+lBrendgu/b6nud4npjounwDX\nA28CG4E7gKnGmA4iMj+/C7F1vQ/IcKQFP75fCzwBTMYGQLHYQeY/GmN6i8iYaCopgBgbVAAMHzKc\n6XMbsX37E9zJneTxMqWAkwg/bVJwS8UB3wyo3j+ZxDC9fxKyszmSmMiSoIHES1q0oMWSJa60S5ct\n44jHYxfKe/RRWLo03/fjXN+7VJcu5GVnU9rxVNPofBs0OLtLHWnf3r/va8nwSV9U8PCaKX/8wTUr\nV8Ip3kBmRG1qP72b7ampEBvLmFsW02BmNjdl3MT89PnkfnlWvoPfgz21aROv7tjhP958wQVUjouj\nXJiWBJ/ajhmlMjMz6d+/P8uWLePjjz8mNTWV0qVLc2HbtoCNzPMAFi2i/MknE9S5id3Y+ZcrEc/u\nN2DoGzb93Xdh165jmDX2ggvseiQHD9opc8E+cfqCujZt7MxSnTuHTkGl/jTBcyZMmQJ33gnvvAMn\nneQ+l5wMLVrY/U8/ta81a+zQmtNPd+ct6iFDSimlVFGKqqVCRD4WkTG+Adje/ahehamUMaYl0A14\nWkSeFpFRwMXANuDVKIv5UkTGOV4Tg87Pws5S1VNERojIcOBCYC3wn2Opr+CBGIHYHEwpQ0yMfVgt\nRSl/S8V9PBj22uCgItb3rH6P3ZyzhxAVvF2COjiXewbOK1eOP5wzE4ENKHyCBhzPYhYd6WinZt2z\nB9LSWOkdCPziiy+SF9T16IsvCp7QK75KfEja9le3s3XwVg5MOxDmCrgmORk6doQJ3qXGv63Lxn+1\ntstX9+vHGTMzGcEI7nvqPspkQakVdlFB1wxQXnki5AalOwMKgHq//kr5n3/mUNB4DY8I4/buJU+E\ngzVqhJQ9ceJEEhMTqV69OpUcD+2htbDmA1cBffr0YeykSewmG3jOladGDTtblLPV4qmn7LAKxwzC\nAXFxgYAC7E/hLzs63fXoYZ9q586FP/6IUDNV1DIy7LTB9eq5x8+/6f1Kjx5tA4IJE9ytGL6AwqlJ\nk9CAAuxwmvfes9cYAzVr2jUe/8r6z+yPGWQo/eKxrSejlFKq5CnUQG1jTHtjTL59b4wxtYwx7fPL\nk4+uQC4w0pcgIlnAh0BrY0zoE1+oGN8YkHBEZI2IHAhKywamAjWNMVH/JiiA1E6FF58Dg2vthYrY\nKKiCfzont/bb7Pbam2F2ndDuUC/MDb1mwPr1AHStElrmKXFx/N/ZZ4ev6MqVrsNlLLM7b79tH0Z7\n9mRHVhZnn302zz//fMjlN/mmPy1AnQF1OPOLwGLrm5/azNYXtrL8suWufPN9azP4ujMt/sZ/7u23\nvY1My5dzIxfzFZOonPsYhx3LKWZmGV5/3TXxErFz5hA3dy5m9mze2LGDj/NZkfrcxYtdx9/t38+t\na9YQO2eOndUpJsa2DkTBYBdp8ZGZM6m6cSNdR4/mgw8+oIX/6fFlwD1OpmpV6NDBBhaXXGJnjqpX\nD9q1sw+Pd99dQBeYZ56Bxx5zp110kV1RPNJgcXVMsrMhLS1wPG2ad/rjI/bPqGxZGDHCBoMA06fb\nP7NHHrGNRz5BMxD75eUFJjRzysqC778PHD/wAP4pmHftssuyGGMbryDwPTl40KavXGlnLzYGvvmG\nYpOamcrewzYC2p2+m1pv1sIMMgz52f6Fzs7L5us1X5PnyfO3gmblZh33fbelbiPXE2GyB6WUUkWq\nsLM/JWG7I+Xndm++wjgXWC8iwb3OFzrO58cAm4E0Y0y6MWasMSba5aKrA0e8r6gIYifguWAhJsZg\nTOgTYK5jStG4XKjq7RX07E92O6cOfHa2N6gooA91nyefZECdOpyRmBj2/OmRpkD1TuV63333ATA9\neNj34cOsO/98VqxY4Upet24d1YIWlcuONIAaOH3g6VS5sQqNPmwUcu7QosD6E61P9g4Y8a9gnYZd\nSxH69SsDlKYUcBD7h3E5gV/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8++23PPXUUwB88MEH1KlThy5dulC3bgbbtjnnGfC95+k8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\n82edu6QuM3zgAZaNEqgJzERp+dsjIACySziXvHBBWLPmA2b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b2t9KVvEPwcOq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\nfzZCt9l09Yu8WLys1i0yTbOszaKEREREREREdonGVIiIiIiIS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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8,3.5))\n", + "plt.plot(cumulative_heads_ratio)\n", + "plt.plot([0, 10000], [0.51, 0.51], \"k--\", linewidth=2, label=\"51%\")\n", + "plt.plot([0, 10000], [0.5, 0.5], \"k-\", label=\"50%\")\n", + "plt.xlabel(\"Number of coin tosses\")\n", + "plt.ylabel(\"Heads ratio\")\n", + "plt.legend(loc=\"lower right\")\n", + "plt.axis([0, 10000, 0.42, 0.58])\n", + "save_fig(\"law_of_large_numbers_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.872\n", + "SVC 0.888\n", + "VotingClassifier 0.912\n" + ] + } + ], + "source": [ + "from sklearn.cross_validation import train_test_split\n", + "from sklearn.datasets import make_moons\n", + "\n", + "X, y = make_moons(n_samples=500, noise=0.30, random_state=42)\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=42)\n", + "\n", + "from sklearn.ensemble import RandomForestClassifier\n", + "from sklearn.ensemble import VotingClassifier\n", + "from sklearn.linear_model import LogisticRegression\n", + "from sklearn.svm import SVC\n", + "\n", + "log_clf = LogisticRegression(random_state=42)\n", + "rnd_clf = RandomForestClassifier(random_state=42)\n", + "svm_clf = SVC(probability=True, random_state=42)\n", + "\n", + "voting_clf = VotingClassifier(\n", + " estimators=[('lr', log_clf), ('rf', rnd_clf), ('svc', svm_clf)],\n", + " voting='soft'\n", + " )\n", + "voting_clf.fit(X_train, y_train)\n", + "\n", + "from sklearn.metrics import accuracy_score\n", + "\n", + "for clf in (log_clf, rnd_clf, svm_clf, voting_clf):\n", + " clf.fit(X_train, y_train)\n", + " y_pred = clf.predict(X_test)\n", + " print(clf.__class__.__name__, accuracy_score(y_test, y_pred))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bagging ensembles" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.904\n" + ] + } + ], + "source": [ + "from sklearn.datasets import make_moons\n", + "from sklearn.ensemble import BaggingClassifier\n", + "from sklearn.metrics import accuracy_score\n", + "from sklearn.tree import DecisionTreeClassifier\n", + "\n", + "bag_clf = BaggingClassifier(\n", + " DecisionTreeClassifier(random_state=42), n_estimators=500,\n", + " max_samples=100, bootstrap=True, n_jobs=-1, random_state=42\n", + " )\n", + "bag_clf.fit(X_train, y_train)\n", + "y_pred = bag_clf.predict(X_test)\n", + "print(accuracy_score(y_test, y_pred))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.856\n" + ] + } + ], + "source": [ + "tree_clf = DecisionTreeClassifier(random_state=42)\n", + "tree_clf.fit(X_train, y_train)\n", + "y_pred_tree = tree_clf.predict(X_test)\n", + "print(accuracy_score(y_test, y_pred_tree))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from matplotlib.colors import ListedColormap\n", + "\n", + "def plot_decision_boundary(clf, X, y, axes=[-1.5, 2.5, -1, 1.5], alpha=0.5, contour=True):\n", + " x1s = np.linspace(axes[0], axes[1], 100)\n", + " x2s = np.linspace(axes[2], axes[3], 100)\n", + " x1, x2 = np.meshgrid(x1s, x2s)\n", + " X_new = np.c_[x1.ravel(), x2.ravel()]\n", + " y_pred = clf.predict(X_new).reshape(x1.shape)\n", + " custom_cmap = ListedColormap(['#fafab0','#9898ff','#a0faa0'])\n", + " plt.contourf(x1, x2, y_pred, alpha=0.3, cmap=custom_cmap, linewidth=10)\n", + " if contour:\n", + " custom_cmap2 = ListedColormap(['#7d7d58','#4c4c7f','#507d50'])\n", + " plt.contour(x1, x2, y_pred, cmap=custom_cmap2, alpha=0.8)\n", + " plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\", alpha=alpha)\n", + " plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\", alpha=alpha)\n", + " plt.axis(axes)\n", + " plt.xlabel(r\"$x_1$\", fontsize=18)\n", + " plt.ylabel(r\"$x_2$\", fontsize=18, rotation=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure decision_tree_without_and_with_bagging_plot\n" + ] + }, + { + "data": { + "image/png": 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8ca4NDZsibmMqI9sXP2vvnPlCIZk8UvE376sLtbWD3H+/JqG6ALNLG1LxGgeS6m1M9fbN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\nPX5O1wYrdaEhAghd1x/Tdd2l67q7yD+zs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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(11,4))\n", + "plt.subplot(121)\n", + "plot_decision_boundary(tree_clf, X, y)\n", + "plt.title(\"Decision Tree\", fontsize=14)\n", + "plt.subplot(122)\n", + "plot_decision_boundary(bag_clf, X, y)\n", + "plt.title(\"Decision Trees with Bagging\", fontsize=14)\n", + "save_fig(\"decision_tree_without_and_with_bagging_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Random Forests" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "bag_clf = BaggingClassifier(\n", + " DecisionTreeClassifier(splitter=\"random\", max_leaf_nodes=16, random_state=42),\n", + " n_estimators=500, max_samples=1.0, bootstrap=True,\n", + " n_jobs=-1, random_state=42\n", + " )\n", + "bag_clf.fit(X_train, y_train)\n", + "y_pred = bag_clf.predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sklearn.ensemble import RandomForestClassifier\n", + "\n", + "rnd_clf = RandomForestClassifier(n_estimators=500, max_leaf_nodes=16, n_jobs=-1, random_state=42)\n", + "rnd_clf.fit(X_train, y_train)\n", + "\n", + "y_pred_rf = rnd_clf.predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.97599999999999998" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sum(y_pred == y_pred_rf) / len(y_pred) # almost identical predictions" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sepal length (cm) = 0.112492250999\n", + "sepal width (cm) = 0.0231192882825\n", + "petal length (cm) = 0.441030464364\n", + "petal width (cm) = 0.423357996355\n" + ] + } + ], + "source": [ + "from sklearn.datasets import load_iris\n", + "iris = load_iris()\n", + "rnd_clf = RandomForestClassifier(n_estimators=500, n_jobs=-1, random_state=42)\n", + "rnd_clf.fit(iris[\"data\"], iris[\"target\"])\n", + "for name, importance in zip(iris[\"feature_names\"], rnd_clf.feature_importances_):\n", + " print(name, \"=\", importance)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.11249225, 0.02311929, 0.44103046, 0.423358 ])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rnd_clf.feature_importances_" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Z06qqsrLylGQqgtPTTkd7P0qrbtLLZS1kMmawp+hsTfBoup9E6zbmK/PkNBOa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N4JvAe4rkNnEChHPtPEmeSc+axEUUnDzAbM7HxaWr5Y1AYmadtrzWxTfP9SojP795UtTqLWNN8y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\nRUVERDLzf/jBfdjVsYUMAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(6, 4))\n", + "\n", + "for i in range(15):\n", + " tree_clf = DecisionTreeClassifier(max_leaf_nodes=16, random_state=42+i)\n", + " indices_with_replacement = rnd.randint(0, len(X_train), len(X_train))\n", + " tree_clf.fit(X[indices_with_replacement], y[indices_with_replacement])\n", + " plot_decision_boundary(tree_clf, X, y, axes=[-1.5, 2.5, -1, 1.5], alpha=0.02, contour=False)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Out-of-Bag evaluation" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.90133333333333332" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bag_clf = BaggingClassifier(\n", + " DecisionTreeClassifier(random_state=42), n_estimators=500,\n", + " bootstrap=True, n_jobs=-1, oob_score=True, random_state=40\n", + ")\n", + "bag_clf.fit(X_train, y_train)\n", + "bag_clf.oob_score_" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.31578947, 0.68421053],\n", + " [ 0.34117647, 0.65882353],\n", + " [ 1. , 0. ],\n", + " [ 0. , 1. ],\n", + " [ 0. , 1. ],\n", + " [ 0.08379888, 0.91620112],\n", + " [ 0.31891892, 0.68108108],\n", + " [ 0.02923977, 0.97076023],\n", + " [ 0.97687861, 0.02312139],\n", + " [ 0.97777778, 0.02222222]])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bag_clf.oob_decision_function_[:10]" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.91200000000000003" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.metrics import accuracy_score\n", + "y_pred = bag_clf.predict(X_test)\n", + "accuracy_score(y_test, y_pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Feature importance" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "RandomForestClassifier(bootstrap=True, class_weight=None, criterion='gini',\n", + " max_depth=None, max_features='auto', max_leaf_nodes=None,\n", + " min_samples_leaf=1, min_samples_split=2,\n", + " min_weight_fraction_leaf=0.0, n_estimators=10, n_jobs=1,\n", + " oob_score=False, random_state=42, verbose=0, warm_start=False)" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.datasets import fetch_mldata\n", + "mnist = fetch_mldata('MNIST original')\n", + "rnd_clf = RandomForestClassifier(random_state=42)\n", + "rnd_clf.fit(mnist[\"data\"], mnist[\"target\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def plot_digit(data):\n", + " image = data.reshape(28, 28)\n", + " plt.imshow(image, cmap = matplotlib.cm.hot,\n", + " interpolation=\"nearest\")\n", + " plt.axis(\"off\")" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure mnist_feature_importance_plot\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_digit(rnd_clf.feature_importances_)\n", + "\n", + "cbar = plt.colorbar(ticks=[rnd_clf.feature_importances_.min(), rnd_clf.feature_importances_.max()])\n", + "cbar.ax.set_yticklabels(['Not important', 'Very important'])\n", + "\n", + "save_fig(\"mnist_feature_importance_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# AdaBoost" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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HH/0aiYlJcT3PWInlmR4tuI8+ej9//ONBLlUVYDB4ufvBFO6772F+//tfTvp5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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.ensemble import AdaBoostClassifier\n", + "\n", + "ada_clf = AdaBoostClassifier(\n", + " DecisionTreeClassifier(max_depth=2), n_estimators=200,\n", + " algorithm=\"SAMME.R\", learning_rate=0.5, random_state=42\n", + " )\n", + "ada_clf.fit(X_train, y_train)\n", + "plot_decision_boundary(ada_clf, X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure boosting_plot\n" + ] + }, + { + "data": { + "image/png": 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RhBpAXKIEY+QHiocdjZjSwUxDDzWuty+RUZsHjV0OHz7Bzp11NGpeolNb+d49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J9Hvj9paVbmz5/FCy84CQYN45YKjbeeB4NZRCKeuN/Hq20XAMLhCK+8cog39/ro9C5izxv7WLvW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\nHtKMo+XLKxx9uYFmv0QpaSdHmul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XbS+JhkGufd91LLiksB3hpSwVvTaMNmNGDbW1CZLx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\nAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = len(X_train)\n", + "\n", + "plt.figure(figsize=(11, 4))\n", + "for subplot, learning_rate in ((121, 1), (122, 0.5)):\n", + " sample_weights = np.ones(m)\n", + " for i in range(5):\n", + " plt.subplot(subplot)\n", + " svm_clf = SVC(kernel=\"rbf\", C=0.05)\n", + " svm_clf.fit(X_train, y_train, sample_weight=sample_weights)\n", + " y_pred = svm_clf.predict(X_train)\n", + " sample_weights[y_pred != y_train] *= (1 + learning_rate)\n", + " plot_decision_boundary(svm_clf, X, y, alpha=0.2)\n", + " plt.title(\"learning_rate = {}\".format(learning_rate - 1), fontsize=16)\n", + "\n", + "plt.subplot(121)\n", + "plt.text(-0.7, -0.65, \"1\", fontsize=14)\n", + "plt.text(-0.6, -0.10, \"2\", fontsize=14)\n", + "plt.text(-0.5, 0.10, \"3\", fontsize=14)\n", + "plt.text(-0.4, 0.55, \"4\", fontsize=14)\n", + "plt.text(-0.3, 0.90, \"5\", fontsize=14)\n", + "save_fig(\"boosting_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['base_estimator_',\n", + " 'classes_',\n", + " 'estimator_errors_',\n", + " 'estimator_weights_',\n", + " 'estimators_',\n", + " 'feature_importances_',\n", + " 'n_classes_']" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(m for m in dir(ada_clf) if not m.startswith(\"_\") and m.endswith(\"_\"))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Gradient Boosting" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0.75026781]\n" + ] + } + ], + "source": [ + "from sklearn.tree import DecisionTreeRegressor\n", + "\n", + "rnd.seed(42)\n", + "X = rnd.rand(100, 1) - 0.5\n", + "y = 3*X[:, 0]**2 + 0.05 * rnd.randn(100)\n", + "\n", + "tree_reg1 = DecisionTreeRegressor(max_depth=2, random_state=42)\n", + "tree_reg1.fit(X, y)\n", + "\n", + "y2 = y - tree_reg1.predict(X)\n", + "tree_reg2 = DecisionTreeRegressor(max_depth=2, random_state=42)\n", + "tree_reg2.fit(X, y2)\n", + "\n", + "y3 = y2 - tree_reg2.predict(X)\n", + "tree_reg3 = DecisionTreeRegressor(max_depth=2, random_state=42)\n", + "tree_reg3.fit(X, y3)\n", + "\n", + "X_new = np.array([[0.8]])\n", + "y_pred = sum(tree.predict(X_new) for tree in (tree_reg1, tree_reg2, tree_reg3))\n", + "print(y_pred)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure gradient_boosting_plot\n" + ] + }, + { + "data": { + "image/png": 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p747wj/AXnQ+Y2X/jm+YvxDfF5rMUf/foBDN7Dh/cX8l1ce+ce9jMfgf8IfhfPIGvXHfG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\nqif4OwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_predictions(regressors, X, y, axes, label=None, style=\"r-\", data_style=\"b.\", data_label=None):\n", + " x1 = np.linspace(axes[0], axes[1], 500)\n", + " y_pred = sum(regressor.predict(x1.reshape(-1, 1)) for regressor in regressors)\n", + " plt.plot(X[:, 0], y, data_style, label=data_label)\n", + " plt.plot(x1, y_pred, style, linewidth=2, label=label)\n", + " if label or data_label:\n", + " plt.legend(loc=\"upper center\", fontsize=16)\n", + " plt.axis(axes)\n", + "\n", + "plt.figure(figsize=(11,11))\n", + "\n", + "plt.subplot(321)\n", + "plot_predictions([tree_reg1], X, y, axes=[-0.5, 0.5, -0.1, 0.8], label=\"$h_1(x_1)$\", style=\"g-\", data_label=\"Training set\")\n", + "plt.ylabel(\"$y$\", fontsize=16, rotation=0)\n", + "plt.title(\"Residuals and tree predictions\", fontsize=16)\n", + "\n", + "plt.subplot(322)\n", + "plot_predictions([tree_reg1], X, y, axes=[-0.5, 0.5, -0.1, 0.8], label=\"$h(x_1) = h_1(x_1)$\", data_label=\"Training set\")\n", + "plt.ylabel(\"$y$\", fontsize=16, rotation=0)\n", + "plt.title(\"Ensemble predictions\", fontsize=16)\n", + "\n", + "plt.subplot(323)\n", + "plot_predictions([tree_reg2], X, y2, axes=[-0.5, 0.5, -0.5, 0.5], label=\"$h_2(x_1)$\", style=\"g-\", data_style=\"k+\", data_label=\"Residuals\")\n", + "plt.ylabel(\"$y - h_1(x_1)$\", fontsize=16)\n", + "\n", + "plt.subplot(324)\n", + "plot_predictions([tree_reg1, tree_reg2], X, y, axes=[-0.5, 0.5, -0.1, 0.8], label=\"$h(x_1) = h_1(x_1) + h_2(x_1)$\")\n", + "plt.ylabel(\"$y$\", fontsize=16, rotation=0)\n", + "\n", + "plt.subplot(325)\n", + "plot_predictions([tree_reg3], X, y3, axes=[-0.5, 0.5, -0.5, 0.5], label=\"$h_3(x_1)$\", style=\"g-\", data_style=\"k+\")\n", + "plt.ylabel(\"$y - h_1(x_1) - h_2(x_1)$\", fontsize=16)\n", + "plt.xlabel(\"$x_1$\", fontsize=16)\n", + "\n", + "plt.subplot(326)\n", + "plot_predictions([tree_reg1, tree_reg2, tree_reg3], X, y, axes=[-0.5, 0.5, -0.1, 0.8], label=\"$h(x_1) = h_1(x_1) + h_2(x_1) + h_3(x_1)$\")\n", + "plt.xlabel(\"$x_1$\", fontsize=16)\n", + "plt.ylabel(\"$y$\", fontsize=16, rotation=0)\n", + "\n", + "save_fig(\"gradient_boosting_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure gbrt_learning_rate_plot\n" + ] + }, + { + "data": { + "image/png": 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zJvfeey/t2rXjsMMO45JLLgHclf9p06bx8MMPM2PGDKqqqli+fDk9e/as8385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\nt46G0ZnL9OnuxjIXqfP93Hn7vntjpoTrQQcVbjxsmDv16MM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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.ensemble import GradientBoostingRegressor\n", + "\n", + "gbrt = GradientBoostingRegressor(max_depth=2, n_estimators=3, learning_rate=0.1, random_state=42)\n", + "gbrt.fit(X, y)\n", + "\n", + "gbrt_slow = GradientBoostingRegressor(max_depth=2, n_estimators=200, learning_rate=0.1, random_state=42)\n", + "gbrt_slow.fit(X, y)\n", + "\n", + "plt.figure(figsize=(11,4))\n", + "\n", + "plt.subplot(121)\n", + "plot_predictions([gbrt], X, y, axes=[-0.5, 0.5, -0.1, 0.8], label=\"Ensemble predictions\")\n", + "plt.title(\"learning_rate={}, n_estimators={}\".format(gbrt.learning_rate, gbrt.n_estimators), fontsize=14)\n", + "\n", + "plt.subplot(122)\n", + "plot_predictions([gbrt_slow], X, y, axes=[-0.5, 0.5, -0.1, 0.8])\n", + "plt.title(\"learning_rate={}, n_estimators={}\".format(gbrt_slow.learning_rate, gbrt_slow.n_estimators), fontsize=14)\n", + "\n", + "save_fig(\"gbrt_learning_rate_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Gradient Boosting with Early stopping" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from sklearn.cross_validation import train_test_split\n", + "from sklearn.metrics import mean_squared_error\n", + "\n", + "X_train, X_val, y_train, y_val = train_test_split(X, y)\n", + "\n", + "gbrt = GradientBoostingRegressor(max_depth=2, n_estimators=120, learning_rate=0.1, random_state=42)\n", + "gbrt.fit(X_train, y_train)\n", + "\n", + "errors = [mean_squared_error(y_val, y_pred) for y_pred in gbrt.staged_predict(X_val)]" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "GradientBoostingRegressor(alpha=0.9, init=None, learning_rate=0.1, loss='ls',\n", + " max_depth=2, max_features=None, max_leaf_nodes=None,\n", + " min_samples_leaf=1, min_samples_split=2,\n", + " min_weight_fraction_leaf=0.0, n_estimators=79, presort='auto',\n", + " random_state=42, subsample=1.0, verbose=0, warm_start=False)" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "best_n_estimators = np.argmin(errors)\n", + "min_error = errors[best_n_estimators]\n", + "\n", + "gbrt_best = GradientBoostingRegressor(max_depth=2, n_estimators=best_n_estimators, learning_rate=0.1, random_state=42)\n", + "gbrt_best.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure early_stopping_gbrt_plot\n" + ] + }, + { + "data": { + "image/png": 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uFUoa15bQYueJpUth++3rbi8vh4MOav73ExFJFB+D+vaF5cuzftnUqSF42LIF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\ngZmdDewN3NJC9Wr1WiqbTWkpjNo7zL1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RI6PGaDRH4yUZkQmYY2JGEq9EgiIBUQS5CCLC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\nmZnl5gDCzMzMzMxycwBhZmZmZma5/X8IExD+GjSxqgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(11, 4))\n", + "\n", + "plt.subplot(121)\n", + "plt.plot(errors, \"b.-\")\n", + "plt.plot([best_n_estimators, best_n_estimators], [0, min_error], \"k--\")\n", + "plt.plot([0, 120], [min_error, min_error], \"k--\")\n", + "plt.plot(best_n_estimators, min_error, \"ko\")\n", + "plt.text(best_n_estimators, min_error*1.2, \"Minimum\", ha=\"center\", fontsize=14)\n", + "plt.axis([0, 120, 0, 0.01])\n", + "plt.xlabel(\"Number of trees\")\n", + "plt.title(\"Validation error\", fontsize=14)\n", + "\n", + "plt.subplot(122)\n", + "plot_predictions([gbrt_best], X, y, axes=[-0.5, 0.5, -0.1, 0.8])\n", + "plt.title(\"Best model (55 trees)\", fontsize=14)\n", + "\n", + "save_fig(\"early_stopping_gbrt_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "gbrt = GradientBoostingRegressor(max_depth=2, n_estimators=1, learning_rate=0.1, random_state=42, warm_start=True)\n", + "\n", + "min_val_error = float(\"inf\")\n", + "error_going_up = 0\n", + "for n_estimators in range(1, 120):\n", + " gbrt.n_estimators = n_estimators\n", + " gbrt.fit(X_train, y_train)\n", + " y_pred = gbrt.predict(X_val)\n", + " val_error = mean_squared_error(y_val, y_pred)\n", + " if val_error < min_val_error:\n", + " min_val_error = val_error\n", + " error_going_up = 0\n", + " else:\n", + " error_going_up += 1\n", + " if error_going_up == 5:\n", + " break # early stopping" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "59\n" + ] + } + ], + "source": [ + "print(gbrt.n_estimators)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Exercise solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Coming soon**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + }, + "nav_menu": { + "height": "252px", + "width": "333px" + }, + "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, + "toc_cell": false, + "toc_section_display": "block", + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/08_dimensionality_reduction.ipynb b/08_dimensionality_reduction.ipynb new file mode 100644 index 000000000..f7ae10b82 --- /dev/null +++ b/08_dimensionality_reduction.ipynb @@ -0,0 +1,1906 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Chapter 8 – Dimensionality Reduction**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_This notebook contains all the sample code and solutions to the exercices in chapter 8._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# To support both python 2 and python 3\n", + "from __future__ import division, print_function, unicode_literals\n", + "\n", + "# Common imports\n", + "import numpy as np\n", + "import numpy.random as rnd\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "rnd.seed(42)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "\n", + "# Where to save the figures\n", + "PROJECT_ROOT_DIR = \".\"\n", + "CHAPTER_ID = \"dim_reduction\"\n", + "\n", + "def save_fig(fig_id, tight_layout=True):\n", + " path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n", + " print(\"Saving figure\", fig_id)\n", + " if tight_layout:\n", + " plt.tight_layout()\n", + " plt.savefig(path, format='png', dpi=300)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Projection methods\n", + "Build 3D dataset:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "rnd.seed(4)\n", + "m = 60\n", + "w1, w2 = 0.1, 0.3\n", + "noise = 0.1\n", + "\n", + "angles = rnd.rand(m) * 3 * np.pi / 2 - 0.5\n", + "X = np.empty((m, 3))\n", + "X[:, 0] = np.cos(angles) + np.sin(angles)/2 + noise * rnd.randn(m) / 2\n", + "X[:, 1] = np.sin(angles) * 0.7 + noise * rnd.randn(m) / 2\n", + "X[:, 2] = X[:, 0] * w1 + X[:, 1] * w2 + noise * rnd.randn(m)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Mean normalize the data:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "X = X - X.mean(axis=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Apply PCA to reduce to 2D." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from sklearn.decomposition import PCA\n", + "\n", + "pca = PCA(n_components = 2)\n", + "X2D = pca.fit_transform(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Recover the 3D points projected on the plane (PCA 2D subspace)." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "X2D_inv = pca.inverse_transform(X2D)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Utility class to draw 3D arrows (copied from http://stackoverflow.com/questions/11140163)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from matplotlib.patches import FancyArrowPatch\n", + "from mpl_toolkits.mplot3d import proj3d\n", + "\n", + "class Arrow3D(FancyArrowPatch):\n", + " def __init__(self, xs, ys, zs, *args, **kwargs):\n", + " FancyArrowPatch.__init__(self, (0,0), (0,0), *args, **kwargs)\n", + " self._verts3d = xs, ys, zs\n", + "\n", + " def draw(self, renderer):\n", + " xs3d, ys3d, zs3d = self._verts3d\n", + " xs, ys, zs = proj3d.proj_transform(xs3d, ys3d, zs3d, renderer.M)\n", + " self.set_positions((xs[0],ys[0]),(xs[1],ys[1]))\n", + " FancyArrowPatch.draw(self, renderer)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Express the plane as a function of x and y." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "axes = [-1.8, 1.8, -1.3, 1.3, -1.0, 1.0]\n", + "\n", + "x1s = np.linspace(axes[0], axes[1], 10)\n", + "x2s = np.linspace(axes[2], axes[3], 10)\n", + "x1, x2 = np.meshgrid(x1s, x2s)\n", + "\n", + "C = pca.components_\n", + "R = C.T.dot(C)\n", + "z = (R[0, 2] * x1 + R[1, 2] * x2) / (1 - R[2, 2])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot the 3D dataset, the plane and the projections on that plane." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure dataset_3d_plot\n" + ] + }, + { + "data": { + "image/png": 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jqPtxP/9oycdKpZK1wrK9aka67imHwwGv14tJkyZBo9EIbhlyC8UOdEQLKgok\nis9msyXc7iLe8dNJqgIVai3q9XpIpVK4XC7QNA0AOHbsGPbv38/by0kkftrbO7Fy5X9w4EAfGEaL\n0lIH3G4vpk2bltHz6OmR44w4EbTYscOB9vbOMCuqvb0Tr732OUwmVZA7kI946hRGqwzPLbA7UF9I\nSEL15MmTodVq0yLCootvAJCqr5uEigOBReN0tbtIVyADIZkHgCtMCoWCFSYCmSwOHz6MQ4cOobi4\nOKW8jf4g0jpLf53LL37xH5w6VQzgFQBamEx2GAx3o6PjZEbPq6jIC8COYJGyw+MZjtWrN+LRR38c\ndN73378Z7e1/RCx3YDTiFS4gUM/R6/WmtcBuunC5XHA4HJg8eXJYbTshz3ugufiizX856+JLhtB2\nF8Rdlc62D/2ZUBsKtxQTcWNqtdow8WEYBt9//z2+++47lJSUCCZOqXwWiexH1lk2bHgWTU0rsGHD\ns6fXXTqTOnaqrF69EadOVQJ4ElzXmsn0Elav3pjRc1m06BIoFIsRECmc/u9jAG5DT0/w+2wkd2Ck\nc25v78STT/4dv/zlP/Hkk3+P+XmHugoBsFUz0llgNx0vjG63GzabDeeeey7y8/PTeiyz2ZxUHb5M\nQ74Xcv0UzweRsxZUIkRrd+FyuTISCt6fY9M0zT7YsdyYfr8fBw8eREtLCyorK7P6jTUSgYmVBAEA\nZybWB/DQQ9dk/HwCbjUJ+FxroaKQbsrLS3HuuQy2bv396XOSAFgCoBhFRb6gbSO5A/nOOZHgi1ik\n6irMtMXl8XhgsVhw7rnnhrne0iFQA8WCoigKu3fvhs1mw4UXXgiGYRiKojQAJgHoZBjmu5y1oOL5\n0klUWrR2F5nKVeqPsUmNQIvFAoqikJ+fH9WVSRoNtrW1sY0GM3m+sYh330Qm1kwQcKv5ccZqIdjD\nRCFempqakj6fJUuuRHl5L4AHEbCeilFe/iAWLbokaLsz7kAugXMOPX6i1lYyRAvOSMTi8vv9gt3b\nXq8XJpMJEydO5LVq0vHsm0ymAbEG9dxzz2HRokVYsmQJKIp6g6KoYgAvAFgB4CWKoibkrEABkUWK\nG5Xm9XqjtrsYyAIF8D8AXGGSSCQxhQkIPNS7d+9GZ2cnSkpK0na+yZBofk20ibU/WLToEpSUHAPw\nKLiutZKS/xcmCvFgs9mwfv16OByOpM6nvLwUzz03HT/4wQOorl4IoB7Tp5vDLJ3Aut2DQecsk/0U\n8+ePxycQK7KqAAAgAElEQVSffBJ0/P58KYhXuLxeL1wuF9vGJFS4EsXn86Gvrw/19fUoLi6Oen5C\nkmwl80zT29uLlStX4sknnwSA7wHcBaALwKsADgK4N6cFKhS/3w+Hw8G2u9Dr9THzmAayQIXe+D6f\njxUmqVQalzABgQd3165d6OnpYR+0/g4BTgW+iZXPQsgU5eWlePHFK1FT8y2k0tkAZgKYAODfMBjO\ndDeNxypyOBy4+eab8fHHH+O+++5LSaQeffTHeP31hQC+w4cf/gfd3d1h29xySxEKCy8DMA3ABPh8\n/8QDD9yPDz/8EHfffTd7/FRfCtJxv4UKF7cqPHnpISXMEm1p4vP50NPTg/Hjx8NoNEa9rnS4+LJ9\nDcrr9WLMmDG44IILMGfOHAD4LQAwDPNrhmFWMQxzD4ADOS1Q5Ivntrvg5jDFs7g/0AWK+OKtViub\nuW4wGKBWq+MK/PB4PNi5cyfMZjOKiorYcdN5vumGayEUF89HTc01ca+FJLrQHy9FRQXo7W3Aeed5\nAXwK4HucOnUSL7zwApqamuBwOMKsklCampqwcuVK9Pb2gmEYtLQcxUMPPYmvvvoq6fPq6OgAEHgr\nv/7668NEaurUKaiv16G6ug0UdRh5eTr2HA8fPoKHHvoNvvrqK8FeCjKRmgEg7pYmfMLl9XrR09OD\nsWPHoqysLOrx0iFQfG3bsw2KotDZ2Yna2lrSU4oCsJKiqDyKom6kKGoKgL6cFiiv1wur1RpkMfBF\npUUjE5NmusYnD5HVaoVcLmeFKd4HwuVyoaGhAXa7PchlkE0VMMgbLpkg4nXJEAvht7+dBadzD0pL\nA2+50a4tmei/eNeC1q1bh9GjR2PZsmUYMmQI+/tDhw5hyJAhuPnmm/HRRx+xVgnfuPX19Vi48KfI\nzw9MigbDCIwZ8zL27i2BxWKN6zy4vP3221i4cCH7b4/HgyVLluD5558HELDW7rzzTnz22Wcwm92o\nrZ2M3/3uaeTnVwAACgqGo7DwFuzdWwKdTsu+FBgM/4NRo65PKkCivyAWVSzh8nq96OjoQGVlJQoK\nCoLEK1lXYaIMhKK6MpkM1157LX7zm9+w62UMw/QCKEAgKudy5LoF5fP5gibmZL60TFhQQuP1emGx\nWODxeCCRSGAwGKBSqRI6lsPhwPbt2+F2uzPqz06kerzP54Pdbofb7YZUKmWvLxGXzMiRI6FSqfDt\nt9/GPGaiC/3xWD1A4EXgb3/7G2699VY0Nzdj9OjR7N+OHj2KJUuW4NSpU2AYBocPH8EDDzyGt956\ni3fcPXu6MWvWf1BVNQaXXvokVKpCSKXTsW3b8ZjXx6WpqQmHDn3HJmQHkGDIkFmw2+34+uuv8cc/\n/hHHj7cCAHp7O9Hbq8LLL2/D2LEPo6pqIi6+eAlaWzfA75+EbduOsy8F99wzEXp9ZvO70gVXuKRS\nKaxWK8aPH49Ro0YFFY6maRputxt2ux12u529N4WumpEtL46R8Pv9aGlpweHDhzFkyBBcc801UCgU\nYBiG9DXqAHA9gNcYhtmU02HmGo0m5AFLnIHi4uMmF/v9fqjVavZ3iYqgzWZDQ0MDAATlbIQerz9o\nb+/Aq69+hlOnJCgs9OJnP5uBysohbJFSiqIgl8sTah0xa9YsfPjhh/D7/Rg3blzEY0da6O/qCn/x\n6ew8iTvvXIze3h40NOzGypXPo7R0EO+477//PsaOHYsRI0YACDSG27JlC9xuNyorK4MKxOr1lTh+\n/CgsllNYvHgx/vSnP7EtTZqammA2a6FSFaKmZh5kskD9O6lUAbM5sTYO55wzDHb7FFDU12CYQMPE\nqqpf48CBl2Gx9OLIkSOYM2cRduw4DpPpEAyGCkyd+nts3/4RWlv/jsGDL8AXXzwLi6UVbW3f4Pzz\nf4wpU4ZCr8/DlClT8Oyzz8JmsyXUKyybYRgGp06dwrBhw1BdXQ3gzBpX6HYkUpD8AIHafNwQeO5P\nos9vqkV508nBgwcxb948FBcXY926dSgsLMTx48dRWVk5F8BGhmFMAFqAQF5UTltQQpDtAkVyuCwW\nC+x2O5vHRJKLEx3bYrHgm2++gVQqzTo/9vHjJ7BkyQZs2PAMdu9eiS++eA4PPLAFHR3hLrZ4XTI0\nTWPatGnYvHkz1q1bB4vFAr/fz/tmG2mhv7t7b5DL7auvvsLDD69Ab283AAZdXR14+OEXedeCHA4H\n/vGPf+CWW25h/33PPffA6XRCqVSiuroaPT097PYejwUWSxcAssYUWOMh1ppKZQVNezBkyG2Qy887\nfY0e5Od7w44djX/8YwNaWvaCYc7s19b2NiyWntPHbsGnn36IiRMfRE3NTFxyycPYt68ZfX0vwWb7\nEocOvQWL5TgABk5nK/bv34cXXtgIi8UKjUaDuro6bNu2LaFzyhSJrgsRcaqpqcE555wTdVtuYIZC\noYBUKoVCoYBWq43L4orlKiTVX7IVp9OJa6+9FsuXL2cruHPmmWkURbHx8QzDMDktUEIVjE20q26i\n4ycjUFxhcjqdUKvVrDAlm8NlMpnwzTffQKlURu0nk84gCT6IK+/Pf/4MHR3BCbZtbU9j1arP4z6n\nUOFSKpWsC/Ozzz7DfffdB7vdzpsr89OfTgtb6JdKF+K3v70F9fX17DHsdgPOO28lDIbAm3RBwUic\nd96LsNvDc1PWrl2LSZMmobq6mg1yaGtrAwA2SVyhCJyfUjkYQ4Z8AqVyMAAKavVQjB79Mpqa8nDn\nnXfiww8/xNq1L8LlWg+a9gAIiBNNb8KUKUPj+nwIBkMtRoy4DyrVaAAUVKpaDBv2H2i1AbdcdXU1\n5syZj7KyC1FT8xMcPnwSnZ2fwmo1AWDg91tB5hq1uhIXX/wEystvZ12N06ZNw5YtW+Jeo8vW+nsM\nw6C7uxtDhw7F8OHDEz5Hcl2hwqVSqaDRaBISru+++w4nT57M6hBzqVSKIUOGYPLkyaxAGQwGMAzz\nLwA6ABOBM1UlclqghCAZKyQREhURhgk0CeQKk16vj6t7bzR6e3uxffv2hLrgptvNRyrIO51OyOVy\nmM0q8LnYuruT91QTUSB1F48ePYpVq1Zh8+Yv8Yc/fICHHvovnnnmfXR2dmHQoBI89dQUzJhxL8aO\nvRODBs3C+eefRHFxUdD6ltksh0pViNmz/4WqqnpcccUaqFSFYW42q9WKtWvX4qc//SmAQJDDkiVL\nUFNTAwCorKzEpElXob7+OZSWTsbEiU/A7S6FXr8ZQ4ZUob7+EfT1NaOxcSOOHj0GIFC812T6Nxjm\nFeh0n2Do0A24/voy6PXBtd9ikZ/vxZAhxaiufgUFBTdg2LCPIJUaUFt7I6qqqvD8889j+vQR8Ps3\nwWicBJVqHMrLfwu1eigACgrFYJSUfA69/jLMnv0udLqiIFfjhRdeiB07duCjjz5KOhQ+XSQihj09\nPaioqMDIkSOTev5iHSse4QICL3GLFi3Cueeei02bNmHBggV47LHH8O6778b9gt3X14d58+ZBp9Oh\nuroaa9asibjt888/j7KyMhgMBtx2221B7VSiMXToUGzcuBFlZWW47rrr8Oabb+Lo0aPkzx4AQfHx\nOb0GJZQFlQ0CRSwmp9MJiUQSV+feeMfu6upCY2Mja4HFc87pgJwveUvktvagKArFxT7wFTIN/D45\n6uvrMXLkSDQ3N6OlpQVVVVWYN+8aPPFEU1BZngMHAmV5qqsr8dhjQ+FwOHDrrf/C11+fxD333IPn\nnnuOfSPUap3o7XVCJsvDyJEPQi7P53Wzvfvuu5g6dWpQ1J5Go8FLL72ERx55BPPmzUNXVx5qaiah\nu3sGHI5L4PNJQFFFkEqnYOjQWqhUg1FcPA4m0zfo7W1DcXEx7r33XqjVarhcrqQb4U2ZMhQtLdsw\nbtwUyGQXQaFoh1L5Oe6+ezL+7/+OoKurC8OHD8d115Xi668/RVdXNxSKMsyZ8x527XoaJSVzYLWW\ngqIWIC8vkNhN0x4wTCeefLIRXV0SOJ2DsX79J/j+++/x0ksvRX0xykYLqru7G4MGDcLo0aMzHjUX\nanUBwObNm7F582a8++67uOKKK7Bv3z78+9//xo9+9KO4xly8eDFUKhVOnTqFxsZGzJkzBxMmTAgK\n2gGA9evX45lnnsEXX3yBsrIyzJ07F4899hieeuqpmMd46623MHHiRPzwhz/Eli1bsHLlSjz99NPY\nv3//vwCcAPBG0HXGmMCyOyQkBn6/P25ljwRN07BarWkrHULcV9GCEbht1dVqddyde+M5987OTjQ1\nNaGgoCAh37XFYoFOpxP0wXQ4HGxQC1eYCO3tHbjnns/R1vY0iHBUVCzFihWXwmgsSalEjcPhwMqV\nK3HnnXfi+ef/g88/fw6hQviDHzyARx/9MZqamvDJJ5/gww8/PP03CnV1U3DddVfhggsugNlswd//\n3gmKmgaJRH56Yt6M664rZS2Zvr4+LFq0CKtWreLNldmwYQPa2tpQWjoJra0/hM/nxIkTzWhrs8Pt\nzseQIWaMGjUDQGDiHzToP/j22/XQaDS46667IJPJUhIoALBYrNi27TjMZjny871skMM332zHvn2H\ncfAgjbw8D667bhpKS0uxZk0HpNLp6Oraifz84di79zOMHTsbGk0eaNoDs/k9bN9+FJ2dfwD5/oAb\nAazD7NmzMHPmzCBXKReapuHz+ZLu1JwILpcrqMIEH729vSgsLMT48eNTKpZst9uTjjDm46OPPsKh\nQ4fw61//OqH9HA4HCgoKsH//fnYdbeHChaioqAgTnhtvvBHV1dVYvnw5AOCLL77ADTfcwObMReP1\n11/HlClTMHbsWHR1deHo0aNoamrCHXfcsRWBBMBnGYZhF3pFCyqOMfrDggoVJq1Wy5rzqY5NOHHi\nBPbu3YvCwsKEx06G9vYOrFr1Obq7ZSgu9uH22y9FeXkZazH5fD62tQnfd1deXoYVKy7FqlVLcfSo\nC21tDXjhhWUoLy+DzxfZimpqaoo48RE0Gg1mzpwJjUYTsyxPfX09ysrK8dVXO2E2n0RBwSiMHv0y\n9u7diXHj7CgoMODGG6XYtm0jzGY59HovpkwZAq1Ww0ZW/uMf/8C0adNQWFgY1j6CoihcdtlleP31\n12E2n8K+fe9Drb4IQ4fWoazMg717P8TQoZcBOLPGNH36CAweLEFLSwuOHDnCRgSmgl6fh5kza4N+\nZ7FY0dSkhtNpwnffnYfe3j58/vnfMHRoC2bOnAmVqg/5+QXIz9+OuXMrsW/fFlbgvvzyMDo7nwd3\nDRF4BzrdNCxZsiRu13K6iWWt9fb2oqCgAOPGjUu5kr/QlmGyhWIPHToEuVweFORRV1eHTZs2hW27\nb98+zJ07N2i7rq6uuBol5ufno62tDWPHjoXRaITRaMR5552HO+644zIA1wLIAycSKacFSgjIJJ8u\nF0OoiBBhcjqdkMlkKXftjcSxY8dw4MABFBYWJjV+op8Fn/Wzb9+D+P3vL0RJSRFUKlVQhelIYlZe\nXobHH78RDMPg+us/RU/PKVRURM7WJ9FtI0eOjDkB1tfXnw5F7wCfK1EiOcX+K5BvtA7btv0YU6e+\nBqWyEDQ9Hdu2bcDMmbW8kzuht7cX69evx+rVqyGTyXjD4O12B5zOQXC79Rgx4jIcP74Pzc0bcckl\n6tMT//Ywy6a+vh407ceWLQ3YswdQq524+OJzEl5/isa2bcchk82ETHYUQ4Z40Nsrgd8/FUePHsQb\nb/wFNE3DYDDg5z//OSoqakFRFNt3q6XFAj7hr6mZGvO7yRYXX19fH/Ly8jBu3LiUn8t0vPiazWZU\nVFQkvB9f9Qm9Xg+rNTzB22azBXl89Ho9GIaB1WqNKVA/+tGPsHbtWixfvhyLFy9GYWEhWlpaAOA5\nAIMBbOBun9MCJZQFlU64AkgixmQyWcwagYmMzSVQAqcFzc3NGW00uGoVV5yAQATeM3jjjQfwm9/c\nBIqi4Ha7wTBMBDELuPLKy8vYa7vqqquwbt06jB8/nveYpNLBsWPH0NzcHHOdAwB2796N/PxuBFxP\n77DHLyhYgvvvn8duZzbLoVYbMXz4zyCXB1yo8eYbrVmzBj/84Q8xaNCg0/ud+Q7I97Vp02HI5VfB\n7f4L5PI5qK6eDL9/AuTyDTAai1FaagxrGWGxWNHQoILTaQFFXYTubgZr1mzF9dcjZZFiGAYWiwXN\nzT04ebIVXm8NentJ+LsUQBE8nnZQFAWbzQaNRsPTYoMUww0WfqMxfVGyQmI2m6HRaDBhwgRBPQ5C\nzjFmsxljx45NeD+dTheUb0fGCm2syLet2WwGRVG82/Jx1VVX4eKLL2aXHk6L2mgAOwD0crfNaYEC\nhHHRkTHSIVYkwsZkMkEulwsiTARyvuTcGYbBoUOHcOTIEZSUlKTk9070cw1E2oW/Pff1nYk+JCH9\n/GL2NFatWorHH7+R3fuKK67Aj3/8Y/zyl78MW5sg60THjh1jRXnlypVR1zkAYMKECbDb7dix43dw\nuSYAKAXQibq6ITh5soOtfpCf74XZ7MHgwdez+8aTb9TV1YUNGzZg9erVvH8nn4XVqoBKVQWvNw8S\nySlIpRUAZLBaA+uEfL2OvvyyBVLpTMhkHfB690MqrYNEcsaqiwXDMOjr60NbWxv7c+LECfb/GYZB\nXt5oKJVlyM8vhUZTAKn0e9C0G0APlEolpk2bhnvvvRdarfZ0rUJuWsBtCIgUacxoR1nZ/Vi0aEZc\n59afFpTZbIZCoUB9fb1geUbpKhSbjItvxIgR8Pl8OHz4MOvm2717N2prw++b2tpa7N69GwsWLAAA\n7Nq1C4MGDYr7uEqlMqiA7mmhugmAlWEYF3fbnBcoIUjHOhS3rToAQYWJC9dCO3jwII4fP56yOBHi\n/Uz8fj8MBjfijcCLJGah4eSFhYWYNGkSNmzYgIqKiiBLihudd/jwYQwdOjTudY7zzz8fb7/9Jm64\n4QZ4PN9j8ODBWLr0waB9A1FumwBMh1SqiDvf6K233sLs2bNjVpsmAqjT/RIURZKKPSgo8Ae9vZPv\nlqZpWCwyAFIoFAsAqE5vIUVfn4QNIGEYBj09PRFFSKFQoKKigv254IIL2P/Pz8+H1Wo7HQwxFiaT\nFd9/3wyK2gq12oxf//oxXHjhhey5ha/lVQK4BwbDtbBaHaDpE5DJvDAYro75nWQKvnvaarVCJpNh\n4sSJGQnSSIVkBUqj0WD+/PlYtmwZXnvtNTQ2NmLdunXYunVr2LY333wzbrnlFtxwww0oLS3F8uXL\n2UTzZGEYpp3v96JAxYGQAsUVJoVCAb1ez/ZlShc0TaO5uRknTpwQrNFgPGOQa/X5fLjttulobl4a\nFoF3++2XBu3DMEzEcHKDIejlCgBw5ZVX4vXXX8ewYcMwbNiwoARjErL9q1/9CldeeWVCi/AlJSVY\nuHAhtmzZgssuuyxsX70+D9dfD2zbtiFsLSgSHR0d2LhxI/7yl7/EPH6wAEZOuOWGGxcWMrDZ/JDJ\n8tjq/RZLH4D12LXrTbS3t6OjowNarRbl5eWoqKjA4MGDMX36dAwePBjl5eUx3TTc61arGdD0KtTV\nGfGb3/wtLFr0TOUN7vdYDI3GDrN5MwAGbW2SuCzbTEPub5vNBoqiMGnSJKhUqhh7JUY6LKhUekG9\n/PLLuPXWW2E0GlFcXIxXX30Vo0ePRmtrK2pra7F//34MHjwYl19+OR588EHMmDEDLpcLCxYswOOP\nPy7odRByOswcANt8LBUsFgvb3CxZSJNEj8fDJtyRtQeTyYS8vLy0rAd1d3fj+PHjOHXqFIqLi1N+\nIEjwwsmTFEpKaNxxxw/YdSGC3+9ns9sVCgUbskv23br1CGpqNFi27IagfT0eD3w+H0wmM+644yN0\nd7+AM+HIN2HGDCuuuWYeJk6cyO5jsVgwZ84c+P1+1NTU8K4zffzxenz33WEMGnQpDAY6qpBww5nt\ndjueeeYZGI1GLFy4MOW6cb/73e9gNBpx8803A0DMdYxIYd5AwMXX2dnJWj7t7e1oaTmK5uYy2GwT\noFbroNWqkJe3Gxdd5MOwYeegvLwc5eXlUCqVQfXggOgt0dvbO9lAh6Ii7+nWGQFX57Fjx1BWVsb7\nbJxZg3oGQDeA1yGTHcK556rQ1rYJbW2tqK6ujmttkKSLpDvalKwFq9VqtqLI5MmTo1ZWSRbSmiOV\nVIBQ5syZg88++ywjUbkCwzsxiQIVBzabjS2Lkyg0TbOlcpRKZVC0GsFsNkOr1Qru4vN6vdi6dSuc\nTmfUpmnxEi0Pqby8LKIwhfLJJ59g3bp1WLlyZdDvPR4PGhoaMHXqVLS3d+BPf/oEW7cegct1FEOH\nerF69WtBE0VjYyM+/vhj/Pe//2VbDMyaFZxPY7FYsWZNB1yub6FWXw6JZDhoelPE6gqh+TYffPAB\n7HY7gHzI5cPjspT4aG1txV133YV33nmHfROPNYl4PB50dHQEuePIT1dXF4qKilj32+DBg1FRUQGD\nwYDjx2nYbEpotW5Mm1YT81y5BUxDhauzswsPP/w1p8RUoI8TaZURSzja2zuxcuV/0NBAweP5E7hr\nTyNHNoe5TiORaYEiifGTJ09OW0HbdAjUFVdcgS1btmRFxGOC8J5wzrv4+isXiqZpOJ1OeL1etoBr\nJDdeOta4PB7P6erWZpSWCtPWIFLwwp//vBQPPTSfFaZYCbyXXHIJXnjhBbS2tgZVUXA6ndiwYQPq\n6upQXl6G5csXwm63Y8WKFbjnnnvC3mInTpyIkSNH4uDBgzhy5Aiqq6vD1pm2bTsOqfQHUCp18Hi+\ngVZbCyD+wIHS0jJs2rQTgAsWyySUlZ2DlpamhCLjHA4H3nzzTcybNw95eXlByeMulwvt7e28ItTT\n0wOj0RgkQueffz4qKipQWloa0aIfO/ZML7B43FJcNyGB3I9vvbUVHR0ksRYgLUZee+0+PPLIj0DT\nNKRSKeuu4rO2NBodPJ7gGoodHX9AefltCZXVykS1BpLm4ff70ypO5FhCComQbTuyhZwXKCFIREAS\nEaZkxo8Hl8vFdmEVsnBkpOCFrq7ANcRbWUKhUGD27Nn44IMPMHXqVEycOBF2ux233HILOjs70dCw\nF4sWPYgZM0ZCr8/DrFmzIrpYtFotXnnlFbzwwgu46667wiY8s1kOqVQBiaQeQCAgI95wcIvFin/9\ny42iIhn8fikcjmrs338YY8bUY9u27XEJnMPhwN13342jR4+ioqICDMPg5MmTaG9vR3t7OywWC8rK\nylgRqqmpwcUXX4zy8nIMGjQoLYEz8UAmzt5eBfi+88Dvz7R5Cbgcw62t/fsfhFxu4x3DbBbOchAK\nt9sNh8OBiy66KO3V/NOZW5kr5LxAZcqCItWvvV4vW9Ax3jc+IQXK6XSioaEBPp8PBQUFcDgcgo0d\nKXjBaETCC8hXX301br/9dvT19cHlcuGTTz5FZ+dJAEB3dzv++c8t2LmzFfff/4OgNSc+tFotLr/8\nct63cRINJ5WqoFROAxB/+4lt247D7f4BbDYDFIpW6HR74fHMQUfHJhiN8bmajhw5gmPHjoGmadYy\nGjt2LC677DJUVlZmNBctGfgDHQLRl6TvlkQigVQqxVtvfR1Wbb69/RkUFFzNO0Z+vjPu88hEmDkp\nwjxx4sSIpceERGhrh1izuYRYzTwOogmIz+eD1WqF1WqFVCpNqnuvUAJlt9uxfft20DQd9IAJ9SDc\ndtsMlJc/AG67iYqKpfj5zy+NthsvhYWF8Hg8+Oijj/Dqq69izJjLYDAEyvMUFJyDCy54AhUVP8fW\nrcfiGi+SiE2ZMhQ0vSmh9hPcquQajQRW64Ww2yfBZJoLiUQBp9Mfd3+lmpoaVFZWQiaToaqqCvfd\ndx+uvPJK1NfXY9CgQVk/oQQCIoJbjJSXP4hFiy4BcEY4OjpOorGxFcAzAJ4AQL43LcrKhqC09P6g\nMQYNug+/+MWcqN2OMwlpXTNhwoSMtqsQusxRumqG9heiBRXnGKEPD2kr7vP5oFarodPpkj6WEAJl\ntVqxY8cOtgoFd+xUIesZer0OzzwzDX/961J0dVE4eHAj7r13UVgUXyQaGxsxceJENrjB5QqEjR85\ncgSffPJvTJq0FEeP/hdTpz4JuTzg+zebU5vAEw0H535e+flelJWpsX+/Bx7Ppaf78TihVu/HlCnn\nxXV8Eure0tKC6upqaDSalAsYx4NQFkd5eSmee246Vq9+AMeOudHe3ohbb/2foHbtHR2deOCBL9HX\n93ecibp8DMASAMUwGhV49NEZ+POf78XOnScwadJg3H77pSgtNUbtdsyNJkwnXq8XJpMJEydOhMFg\nSLkLd7wIva4mCtRZCldAvF4v21ZdpVKlJEx84yeD2WzGjh07YjYaTBQiTB6PB3K5HDqdDnq9Hk88\nUQW324033rDiq6+24IILzo85lt1ux9tvv42RI0eGBTfU1NTgqquuRUfHNFCUghWngCsu9ckiWl28\naJCWE2PGTEFHxxE4HH5otZ/j7rvHJBTFp9FoeDPyBwrl5aV49NEfw+/3Y8GCD7B580ZceOEFrEv1\nf/93M9rbgwMpAlbU7wF8C8CCkyfH4Iknbgwr3MtX5ol0jOVWywDOVM8IDYNPBZ/Ph76+PkyYMAEl\nJSXweDwZW8MR2m1pNptzTqBEF1+cBDL1g9uqq1Sqfq+Y3tfXh23btkGtVvOKUzJjkwRbm80GhmGg\n0+l43ZazZ8/Gp59+ejoMOzJ2ux2LFi3Ctm3bcN11C/HBBw2gaT9eeeUVzJ49G6+88gpmzBgJv38T\nSkoCrjriips6tTKhcxeSgPVVhuHDt6CubjdmzWrEww+Pj1qcNpchHoPNmzfj7rvvZhsNRqr+DnwD\nYB2mTDmfFaVoybgkmlAmk7FpHWq1ml3fJPdfaLfjZN2EPp8Pvb29GDduHFsXcSATTzXxgUbOW1Cp\nCAjDMEEWk1qtTrlzbbRjJQppLKbX6yPmaCUiUKR/ltvtZiupRwuNLy4uxqRJk7B+/XrMnz+fd7vG\nxu3l5ZkAACAASURBVEa89977OH480Oq7t7cd//d/n7MBENwIvRtuqMDGjRvgdmuRn09j6tRKQStx\nJ0Oy1leuQWobkiKhpLbhJZdcErH6O9ACwI9XX30b9fUTUVqanAiQ5y20Dxo3ZyuSmzC0jQmBpmn0\n9vZi9OjRKC8vDxpzoFpQyZY5ymZyXqCSgStMQKC4ocPhSFsdrmSsnJMnT6KxsREGgyHmecUamyQl\nxiNMocyfPx8rVqw43Z58Eu82p07Zgv5NURJIpXXYuvUYZs06E9yg1+fhsstGxl0VWSRzhHYeJjln\nLpcLXV0rEFr9PfDv7wEAJlM77r//t7jzzuuCavWlCkVRkEqlvG5CrnCRNT8iVqQe4ZgxY4Ly8DJN\nOgQqVo3HgUbOC1QiNwCZqMniPWmrDoB1Z6SDRG/StrY27NmzJ65Gg9HGTkWYyP6TJk2C2+3GmjVr\nMGrUKN5k2osuAlpbTTCZmmEwVGPq1OWQy3Uwmz/lHVMkOyEBHytXrsSSJUvQ3NyMjz76CB0dbQDa\nANQDGAKp1I2qqnKcODEUbvdxqFRjUFz8S+zd68O4cda0WsXkfucTLrKu1d3djZqaGhiNRtjt9qCA\nDJqm+y33LFXMZjNqamr6+zQE5axYg4olACR73Gw2w+12Q61WQ6/Xh7nz0jV5JmJBHT9+HHv27EFR\nUVHcZV/4ekK53W5YrVbQNA2dTpdQ3hY5ZyAg3C6XC1u3bsWdd97Jux5VUqLA7Nn/QGnpGJx77lU4\ndOgADh3aCoUivBmaSHbD7TxcX1+PG2+8Cfn5RgAUlEo3CgvnQqu9B07n76DTPYXBg8/BiBGvQ6fT\nQiqdjm3bjvfLeRMXn8lkwsiRIzF69GhotVpotVoolUq2GgYJDLLb7XA6nWzpLhK4ISSiBRWbs0Kg\nIkHqbhFh0mq1yMvLCxMmcnP3p0AxDIMjR45g3759KCoqivstL1RgucKk1WoTFiYuu3btwooVK9DT\nE2hcd+TIEaxYsQKNjY1B202dWgmvdwu02qugVnfD7T4PfX3VOHZMCYtFGJEiNfRysdxLMqRzLYUb\n6PDtt72YOXMNKitrcOWV72DEiHyo1cfg8XyI0tKLUFw8C1rtFxg8eGTcFTzSAcMw6O7uRlVVFYYN\nGxbUg0wqlbJBGVKplA3OkMvlp1MLaLjdbtjt9jDhSjZ/Kx33qLgGNUCJ1Fbd5XJBIpFAq9XG5Srr\nL4FiGAbff/89Dh8+nFTlAfJWSLr1arXalBNEKYpCXV0d6urqgsLF+Wrm6fV5qKpi0NExFx7POpSU\n/AdG4w8hk/0QW7d+jlmzxrJjJgqZPHw+HyQSCeue5avOnUslYLIFi0UGjaYGNTVzodUWYtSoIaiu\nNmPPntVQq7dBrb4YgwePglKZH3cFj1CEeO56enowePBgDB8+PKbbO7SiO/dvxMoiL0Qej4fNZwr9\nCQ3M4EPoMPNcs6DOCoEihLZV1+l0CVki/SFQfr8fzc3NOHbsGIqLixNeIyLhtz6fTxBhCoXUwotU\n0JXg8WgxYkQFaPpHoCgVJJJALbdkE3G5vaZIlXiPx8N+Ptzq3F6vN+7ornR+z9lKtHYasdDrfbDb\nPaisXML+TiZT4/LLq9DZaYVUmlhDx2gkO5l3d3ejtLQUo0aNiuv5iXQcblFd7rwRGk3ItazI/SaV\nSoPuvWzrBZWtnBUCxTAMnE4nK0zJdK/tD4Hy+/3Yv38/WltbYTQa476hyaTsdrvZB4KvTh3pz9Td\nLUNxsQ+3335p3FUhOjpO4s9/3gCTSYXiYh+mTj0vapJwfj4Nk8kDqbSI/V2kRNxoDy+3pQcRpsBY\ndJi7hW8yIZMITdNh0V3xvPHmGmd6NgUXeCXtNGJx3nkVeP/9TaDpS4KEaMaMQNmqRBo6pgNSEX7M\nmDFxiVMywsEXTUjGIvclud9IZ2PyzHu9XsEsfNLSJ5c4KwTK4XCApumU2qpn4s2a+3DQNI1vv/0W\nJ0+ejFucuMIklUqh0WhAURRv4AJfb6d9+wK9nQBEFa729g7ce+8XaGt7LmjfsWM7Igrc1KmVOHIk\nvEU6NxE32jVyq1qQlh7kmsmbKmk/QX5H3mxDkUqlvG/AxOIEAkV3Y1lbucDq1Rs54gSQAq+rVz+A\nRx/9ccz98/J0uP56ZUQh6s8cst7eXhQWFqK2trZfah6SpGMu3GhCEnzBFS6upZXIPUfmply7P88K\ngdJqtSk3LUy3BcU1+30+H3bv3o2enh6UlJTE3D/UYlKr1eyDEem6I/V2WrHiFzhyRM0rXER8Avs+\nE7bvqlVL8fjjN/IeT6/Pw003DcbWrZ/DbJbGnYjLDYUn5ZYoimIFhdvHKJrVxRUtPuHirjuQPkrR\ncmlyZW0rUhWInp74p4a8vOxLZu7r60N+fj7Gjx+f0EtpuhN1uW5CiUTCegDicRPGI1wD+V7k46wQ\nKIlEktUCxR3f4/Fg165dMJvNKC4ujrpPNGEK3S6USL2d9u51oK/vRUQTn0j7Bn4fmUBvp7FRt+Ge\nLynIS9YLiTBx3STxPJB8rh1yP3BFi7hjALAFQ6VSKSiKYoNoQq0tsn22WVvxTrQSSRf4qkBIJKfi\nOkYmSFQ0TCYTtFot6urqsjanKfSaorkJucLl8XjYe45YW5s3b07L+nI2cFaHmScCmRzTOb7L5cLO\nnTthtVpRVFQUcVsiZDabjW0ZHallfKQH+0xvJy52APzN5bjiE5i8wveNZ1KLB6/XC5vNxgZ2kJbY\nJBclEXGKBHfxmjzYPp8PFEVBpVKxDz8RLvLDdcUoFAqoVCqoVKogi5VETLpcLng8nqA8mmwLwLj/\n/nkoKwtuhVFWdj/uv39e3GNk01u72WyGSqVCfX19wu3hs+27AcLD4DUaDZseQsLgN2/ejAceeABb\nt25FTU0N/ud//ge/+tWvkiou0NfXh3nz5kGn06G6uhpr1qyJuO1f//pXyGQy6PV65OXlQa/XY/Pm\nzalcbhhnhUAJ8QCl24JyOp3YsWMHXC5XxEgcPmHSaDRxvSWGnvvtt1+Kioql4E5MhYW/QG1tIfjE\nR6k0sf966KFrUFYW3BeqrOwBPPTQNfFcasTz83gCPZu8Xi80Gg3UajWbh0KEQUiXGrGCHA4H22iS\nWKGkYKlCoYBcLodcLodMJmMtKrLwTX4YhgmaSFQqFRQKBW+BU5/Px4YpZ6oPUlNTE+/vy8tL8cc/\nzsAll9yLwsK5uOSSe/HHP86IO4ovE8T7+VgsFshkMtTX17PrkcmQCcFNxZXIDf5RKBR48skn8c47\n72D+/Pn4+OOPsXDhQigUiqQCJhYvXgyVSoVTp07h7bffxp133okDBw5E3H7q1KmwWCywWq2wWCy4\n+OKLk7qmSGSn/ZuFkDIo6cBut6OpqQkymYzXciITqdvtBhAowUQmylhE2qa8vAwrVlyKVauWortb\nhvb2Rmg0Hbj99sexb98S9PWtxJm6ao+isdGETz7ZgJkzf4Dy8jK8+OIP8OKL92D//h7U1Q3C4sUz\n444AjHZt5PqIMJFrEHrS4OawkATNSMeIFP2VyNoW9yWCrC+EFjgl5yBUO4ldu3Zh5MhR2LTpEP77\n339izhw/pk8fEbbuV15eytsKI5uI9TlYrVZIJBJMmjQp4e7OhIFeKLaoqAgjRozAiBEjcM01ib8s\nOhwOvPfee9i/fz/UajUuvPBCXH311Xjrrbfw1FNPCXauiXBWCFQ2W1A2mw07duwARVHQ6/VBfwud\nvJVKZVhF53hhGAYdHZ1h0XmPP34j7HY7brnlnzhy5ASeeOIxjBo1BV9//XsEDGwJgHvgdhdj69al\nmDkzMF5FRRl+9asf4bvvvotYJDYW5Nq4ImG329koROKCExKapuHxeEDTdEqfJxC/cIWKFln45rqg\nhF7bcjgc+Oijj/Dllww2blwFk+l7dHT04Nixu3DzzdW8wSnZKk6xsNvtYBgG5557LusOPtsQIgfq\n0KFDkMvlOOecc9jf1dXVYdOmTRH3aWpqgtFoRGFhIW666SY88sgjgjZhPCsESgjSIVBmsxkNDQ2s\nG4mML6QwAYFzb2/vxP/7f1+ERef97GeD0NCwHe3t7QACbRRMpnEAngwbhy8IIlKr9WiQ6g9ckQAC\nE7tCoQgKvQXOWBahyY6JQNaGfD4fu3aUrrflSEEZ3EVumUwWZpFzra2OjpNYvXojurtlKCz04qc/\nvQiDBpXEZW05HA4sXrwYJ06cgFS6HTRtA8DAZDqExsZNUCoP42c/i3+Nqb+JZm0Q9+zkyZN5c/2E\nOo7QkJcUoRCim67NZgt7Sdbr9bBa+cuRTZ8+HXv37kVlZSX27duHa6+9FnK5HEuXLk3pPLicFWtQ\nQiC0QPX19eGbb76BSqWCVqsNStwjVgTpkEsWQ1M599de4w8r37r1JO655x7U1NRAIpGgpqYGdXWD\nwLcOFQisCCaRz8Tv98PhcMBut7Mll2QyWVBknlwuh0ql4l0MJus4pCYaCULgusn4julyueBwOEBR\nFLRabdp6ekWCfK/c0loqlQpKpZJ3bevEiXbcd99GbNjwLHbtehGff/4HPPTQVvT09LH7RWret2PH\nDvzhD8/hxIk2AABN2yCR5AOgYDCMwJQpj8NgyK6Q8GQhNfHOPfdcNi8uFTIZJCG0GMbTrHDGjBlB\ngUHcn4svvhg6nQ5mszloH7PZHLH9TVVVFSorA3mMtbW1WLZsGdauXSvMBZ3mrBCobHPxdXd3Y/v2\n7WynWuIKcrvdggpT8DEjh4aTckWku+3FF1eEBVDodHfh+uuDW7vHe25EmGw2G6RSKVtiiri1IgU/\ncC0KUsCTW4GapA+Q6tM2my2okCcRJiBQhVupVGZcmMi5MQwDjUYTZrmRCYPbRfaNN76MkDy7kTeS\nkHSdlcvlmDBhAsaNmwmDIVDJQa2uwvDhX8JguAGjRr0CipJDr0+8Hl5/wjeZk+920qRJgvYPy6QF\nJSTxuPi++OKLsOAe8rN582aMGDECNE3j8OHD7D67d+9GbW38LzRCX9dZIVBA6jeeUAJ18uRJNDQ0\nsF1wfT4f7HY7fD4fa1UIKUxA4NyLivjDyolVpNVqMWvWLABAQ8N2/PrX41FVdSd0upsglV4Ag6ED\nH39sSaj6uN/vh9PphM1mg0QigU6nY12Z3DWWZErLkAgmrrVFIvC4BWTJeZAqFNGsLaHgRgfSNM0K\nSLwunUCSbPjLRHs7zRtJSKICSSShz2fArFnvoqrqMowcuQRyeTEKC6+D262Ax/MZ6uuNKbVK515n\nf4SYu91u2Gw2TJo0Cfn5+YKNm+nrEfJYQhSK1Wg0mD9/PpYtWwaHw4Evv/wS69atw09+8hPe7T/+\n+GN0dXUBAA4ePIjly5dj7ty5KZ1DKOIaVJwQgUrlJm5vb8eePXtQUFAAiqLgcDjg9/uhVCqDrAmh\noSgKixZNx4EDS4PWoCoqlmLUKCUef/wddHfLYDC4cOj/t/flYVFc6fpvNdBAA40isihGjEJQCItE\n45pobiZO5mZxMkRHjAuaPPfJPJnczM3FJe4JcY3R4RcnuRqNxBgnuZNtdCbhGiWQxUlAUATcF0CU\nIGtDNzR0d/3+IKc8XfRS3V3V3Ui9z8OTiGXXqeqq857v+97vPRe2oK7uOoqLT+GBBz5Cfv7vYTTW\n4vr1M8jPv4bY2Bfw5JP3cZ9rzUOQEII99wcxQXz6fHx8OKUj3YBLVHN01EYbeYqhFuSrA51pFA0P\nN8JS8+zFiyfwwQcMFi1aaHbNfCVhUJAejY2+GDMmC0OGJOH69UL4+7MYNuxHLFgwGSEhwXa3ShdL\nSSg2uru7odFocN999/VrY1QpVHyu1qAAYNeuXViyZAkiIiIQHh6Od955B2PHjgUA1NbWIjExEVVV\nVYiJicGxY8ewePFiaLVaREZGYsGCBVi5cqXLY6DB2Fk5eV/nmpOgi+7Oorm5mSMXR1FbW4vKykqo\n1WpuwiQ1CIZhuNW9q4VeS9DpdPD19UVjYxN27z6O+nqgquo4Vq2ah23bzkKn2wPzrbq/AMBApYqE\nTldv9lmxsffiv//7PzB+/Hh0dHRwRAD0tSUiKTWamABxJzxCQHq9HgzDQKlU2iUFfnc+iUQA8wZe\nkkYTMl4x1YE3btTjP/7jK7S07MTt7+UZ/PrXz2DChEbMmmXZjYOkiVtaWvHJJ03w9aUNXL/B3LlR\nCAm5XauxFL2SSIzcF8DcBoomcrIQcVbWLRTEZgrorbWkp6fbdVlxBvTCQmp0dHRwtWcxsGTJEmzb\ntg2xsbGifJ4HYPFGyBGUAyARg6MP1dWrV1FZWYng4GDOhZufxnPHKnXYsGisXz8fpaWl+Mc/rmDT\npo/Q3f0j6FoHcBBAKtTqNsTGrsOlSxuh09UCAAYNisfcuc9xyj06qrRkS0TIgxzryV4mGtZsZfiE\nRTtX8JWE/ElaTHXgsGFReOKJOHz77Qa0t3ehpaUQs2a9hoiIVLS1He1zPLn/3d3d8PX1RWRkBBYu\nDMKJEwVoa/NFaKgBkyePRHBwkEN9W/T3SxZVdLRFf8dSR1sGgwHt7e1IS0uThJzcCSlSzHfibrrA\nACIoMV4cUpQXmp5iWRbnz59HZWUlBg8ezBWyLY1FSqcK+nxarRYffPDBL6aog2Gp1uHvPwYzZkzE\n1av3Izb2OG7cWIrQ0GBMmvQbzJwZZ3Z9PT096OzshI+PD4KCgszsgci5xZ60xIxWaFjbpI4mLdoL\njf53xB5JrGu9665QTJv2FHx8lKioGISIiNRftie5raTkR490NKtWh1iNtPiw17cFwOK1GQwG7ocf\nbdGkLkbatKWlBePHj0dERIRLn2UL/bkG1dnZaXO7m/6KAUNQYsAREunp6UF5eTmuXr2KYcOG2VWQ\nSU1QLMtCq9XiueeeQ3V1NUaNGgWG8QXL9q11BAUp4eNzEffe64vr19tgNP4e4eEnkJUVB7U6xKyZ\nlGXZPvUeck6xX3Z39jIR0NEWEXgQfz2a0EjDMb9fyxLpCcHkySNx9Wrv9iRJSc/CaOyGyVSIyZN7\nZb2EmByNHi3BWt+WpWiLP4mTtCodbdE9X67WtoxGI5qamnDvvfciOtpxpxJvhFREKEVd19MYMATl\nLqk5UeVVVlaisbERsbGxDkVcUqGsrAzHjx9HdXU1WJbFtWvXEB9/D86fn4/etF5vrUOtfgn/9m8r\nwDDfQKG4ijFj0jBmzGMICfFHSEgw554OgJu0aRsoqYnJz89P1Ny9UNiKVvjHkP/SkYUl0rJ1DWp1\nCDIzh+PEiWN90nTEz480eLtzsqOFFQaDwaIFmCUHEL5IBbAfbRFyio+Px/Dhw0W+wr4Qu3nWXXBn\n/5a7MWAISgzYIiiDwcD14Fy9ehVtbW0YPny44MlDygmXYZhf+mPuxblz53Dp0iUEB4eCZdXoFUSk\nAoiCWm3EmDHR8PEZhMDATDBM78tqNHYjOLibUx2SdBZplCVpTzFTXADMohVfX1+oVCqPTCBCa11E\n/g7AbHsOElXwDWL5hMX/XDpNR+6FTqfzGEkDtxcLADgXdyHRFiEhfm3LWrQF9O6Gm5CQgOjoaK9S\nEroKsSMouiZ4p0EmKAdgiaAIMZHVfU1NDVpaWhAZGenw50uZ4jOZTAgKCsLWrdvw8ss5uPfedKjV\n/4m6ul9Dq70MleomnnjiWxgMQHn5ESQnPwaVKhgGgx7d3ceRlhbBuR4AMLPrIRusWUpxOUNa/KK/\npWjFHRCj1kWiAr5hrDX5O3A72iL3jozDkyRNR7H8eyHEk5BWBdKwFG0ZjUb8/PPPiI2NRWRkJNc+\nQCI2KRZDgPtqUGKfp6ur6471IBwwBCV2is9oNKKzs5PbpsHf3x+nT59Ga2urUyojMj6pXhIy7lOn\nbiEu7iX4+hbCYKiGSpUEP7/7MWFCOEyms1CppiM5+WF0dn6IwYNjMGSIHg88cDfXc0L3gpFtKehz\n2Etx2eo5IrWt7u5uTnjgiQ3n+ClFKWpddLRFQEcedI2JHA+Am6SlmKAtgY5iHY3cnKltsSyLpqYm\njB49GvHx8ZyBMNk+g/Yz5MvfXd3huL+mylpaWkTpgfJGDBiCEgNkNUv2YyI+et3d3SgtLYVWq7W5\n0aC9z5YK9Ge3tfkgJuZBdHQo8M9/LoBG0wKlciTa2l5BTMwksCwLpXIQQkOjMWfOPX1SVbaabK2l\nuOhJl2zeB5j3HJGoiWEYpxtcXYWnU4ok+qR39iUOFPztwOnvQuxmY8DcsFjMe2GvttXQ0IARI0Zg\n9OjRXFqUPDt+fn5c3ZOQGV9hKSR1agv9MYISq0nXGzFgCMrVB4JO9xBPOIa5vQuuXq8XpbNd6jRD\naKgR584V4cqVv0OjaQbAoru7GtXVhzBoUBCGDp0AwIiIiF6fN1fdH8ikC8CMdOjUFr0XFAAu8nJX\npMCfjD2VUrSlUrQnf7dG/M5EFSSKBeC2KFahUKCxsREjR47EuHHjwDAM9Ho9l9qkvRut1bZIiwNN\n5o5EW/01xSfEKLa/YsAQlLOgU3nkJSD5Xp1Oh5KSEphMJlFWMFK9HHRqcsqUkbhy5TqGDHkFjY2l\naGm5BH//CEyY8ArCwu4GYITJ9D0mTboLRqORW5FLke8nSjCiRgPgUorQmTHQyjxPpRSdidz48ncC\nfrMxiSqEyN9t1Zmkxq1btxAVFYVx48ZxHo7Ev9GSIpBPRAA4gmZZ1uzeCI22SJagv0GMvaC8FQOG\noBx90YxGI6dS8/f3R2hoqNlqn2w0qFAo+uyh4soYpXhB6M9Vq0PwzDMx+P77H5GR8UccO/b/sGDB\nMzCZLkGjqYZa3YP77x+BkJBgj0jGnU0ROhopOOtCISboyI32D3QFQpqN+cRPng+j0cgZFrvzXjQ1\nNWHo0KEYN24cOjs7uSyFNYIk10ffK5qkrDUc24u2gN6GV7FrW3xIkeKTCeoOgBACsERMdGOhyWSC\nRqNBcXExlEqlqN3bUjbrErAsi4AAf0ydOhK+vr4YPPgp3LrVgMzMh836U6SImJyp79hLEToaKRCS\n80SUQMOdaTRL0RaZnMm9oMdlNBpFaTYWgqamJgwaNAhxcXHo7OyEUqmESqVy+Dsh47MUFQqNtnp6\nejgvTH76lKScLZGWMypVMe9nW1sbYvuvB59NDCiCsgWSVrBETAQKhQKtra24cOECAgMDRTd2lTKC\nIpELWa0TW6LHHnsMe/bswY0bNyTpN+FLxsUstjsaKZDJypNybalsmpwdB2BOkGI2G9tDc3MzVCoV\nRo0aBYVCIcl3IiTaIrVQoJegCenYirboSF7s++IoWlpakJaW5rbzuRMDiqAsEYAQYiJoaWlBSUkJ\noqOjJXNwFpugSBoJ6LVfsmRLNHbsOPzzn99ArR7PORao1a5tAidF+soeLEUKdEqRpG5oFwRXxASO\nwB3SdUfHYYkghTYb89OsjirmmpubwTAM7rnnHoSGhrq19kdHW+QZVSgUXGqTH22RZ4eOtoDb84mj\n0ZbYKT6NRiOr+O40OEJMANDQ0ICysjKEhIRIRk5iT1hkO3ACIu6gbYna2ztQWRkKrbYcLHs/WlsD\ncPVqITIzhztFUt4kPLBFkK6ICRwdhxQRpDPjcLafydFmY1vyd5PJhFu3bkGhUGDSpEkICQnxGFET\nyyh+vUvs2hYhLUJwxP2d3CdXr/9OdTIHBiBBkQdTr9dDqVTaJSbg9kaDoaGhZqagUkCMCIrU0Uwm\nE7dKJr1b/EjhxIlq+Pj8CkplB/T67xEY+CiAB3HixDHBbtgE3iI8EEKQzqQIHVER0uMgyk9PSNel\n6mcCbDcbW0qFAUB7ezv8/PwwadIkblsWd4IQNXn/7RGkkNoWTVrWoi2FwryXjbhjEELnL4ocqW3J\nIok7BF1dXVxXuhBiAno3GqyoqMCQIUPg6+srKUG5WoMiEyJd3wDA1V3oTRvJC9HSooBC4YeAgAfQ\n3V3yy98p0dYm/NHwprqKKw7f1sQEdHpLiIpQjF11xYAn+pnoe0iPo6uri/MRJPuJaTQas/tH/p0U\nIh0yDiJfDwoKcmnBYKu2RQiIJi46a8GyLGcbZiva4j9b1qKt9vZ2hIaGOn0t3owBRVB+fn5Qq9WC\nH8zq6mpUVVVx5ARI7/jgDEHR6YqAgAAuBUm7P9C/o6OEoKAuNDZq4eMzBH5+j/6yIZ0BISHddonY\nVmOpO8Efh5gO39bSW9ZShAQ+Pr2Nzp5I53myn8naOMh3M3HiRE75ShM/vcgBYEZYdNTq7DispfPE\nhL1oixamEDICbqv6yKKIpAlJ+pSubZFn0cfHB1evXoWfnx9MJpNHonN3oP95y7sAYpViDyzL4vLl\ny6iqqkJ4eLjZxCSlFNzRzyZ1tI6ODvj4+CA4OJjbs4is3PgvNlnhkkL9gw/Gwdf3BBQK9pc0RA96\negqQmhoBrVYLnU6Hrq4uLnIgn01WxAzDICgoiNsTyJ3w5DgIYSmVSrMoifyOYRjOfbyjo4NzuicC\nAymeIZbt3fKdvh9SbcfhyDjIcz1hwgSztgzyLCqVSs6dJSQkBMHBwfD39+dEDDqdDhqNBu3t7dDp\ndNDr9WbZAHvj6OjogEKhQEhIiEfuB4mqyY7TarUa/v7+UCqV8PX15eYkQtS09J/cH5VKhaCgII5g\nWZbFF198gUcffRSlpaWYPn06/vCHP+B//ud/0NLS4vAYd+3ahQkTJiAgIABLliyxe/yOHTsQHR2N\nQYMG4dlnn+XIVmwwdl6U/tdWbQOkrmALLMviwoULuHr1KsLDw/ushrRarWRpG7LatCdfJyvT7u5u\nKJVKbkK0ZAMjBBpNO06cqDbbd4hsTEgXwemJldQf6LSMu8AXHngqUhEyDn6KkPwXME8RksnamfvI\nrzN58n7QdTelUsmR9MSJE11qaOdHFOSHTinSKTHiAKNQ3N7t2BMg4wAgqA5prbZFQLtfAL3v4SOP\nPIJNmzahvLwc5eXlyMnJcXhzx88//xwKhQL5+fno7OzEvn37rB6bn5+PxYsXo6CgANHR0Zg9EbKR\nKgAAIABJREFUezYmT56MjRs3OnROHiw++AOKoOiw2trfnzt3DjU1NRg6dKjFyYLk0Wl7GbHQ09Nj\n1izIB13g9fPz43bppR9kqZpsyURM7yxLk5ct5ZaY46CVeUql0mPCA1qIQepdjoBfMCfk76iKkK4z\nkRW5J0DSV7QwR6/Xo729HRMmTJBEBk3InyYsehFFlHVkIeXuRRTJPAQEBLgUuVmqbZFrrK6uRmZm\nJs6ePSvKuNesWYO6ujqbBDV//nyMGjUKOTk5AICCggJkZmbi5s2brpza4s0ZUDUoWzAajaisrMTN\nmzetkhOBu1N8NDH5+vpy6ie6l0kqYrIl1ea7ElgSEojVxEjG4UnpOtB3InZ24nNFRUjO5w2OGCSN\nxq9D6vV6aDQaycgJ6FsfJDUsQtTkXnZ1dfWJtqTqfSOLOZLOCw4OdjmatVTbMhgM2L17N/72t79h\n2bJlLn2+o6isrMTs2bO5P6ekpKChoUES09oBRVC2HsS6ujrU1dXBx8cHTU1N3O/J6ot2VHYXQZGH\nne/+4A5icqSXSYj6zVJzp5BJQixCcBXuEIQ4qiIEbts/EXsid90bW/L17u5utLW1IT093S3yZyHq\nPD75EzKj5eB8JaGjoNs7VCqVZIuo06dPY/ny5Zg1axaKioq4vbLchY6ODjPVoFqtBsuyaG9vlwlK\nKowYMQKRkZFcmo2kTrq6utDZ2cn9V6PRcHJqSx34rqQVCEHRxERbwEhNTIB4vUyOqt/4qS2GYbjv\nwZMKQbrB1RNGquQ+kmeDjIMWw9CpLbEbjS3Blny9p6cHLS0tGD9+vFMbdzoCR9R5lsgfuL0YowUK\npJGWryS09s6RKJI0/Usl1Ono6MDGjRtx/vx57N27F3FxcYL+3cyZM1FYWGhxTFOnTkVRUZFD4wgO\nDoZGo+H+3NbWBoZhEBLimvuMJcgE9QtILcHf39/mcaTJ19/fnyMzUp+hiayrqwtdXV1mogICMmkT\nMiP/BXofdq1WCwAWbYmkIiZ39TJZS23R9Swy+QEwu34pJltrkLLB1VHQiwZb0ayQFKErqVZ78nWD\nwYDm5makpqYiIiLC+Qu2A0ebbW2BLCz5DhmW5O90tEV+CEkqFApR0nmWwLIsvvrqK2zevBkvvvgi\n3nzzTYfOU1BQIOp4EhMTcfr0aWRkZAAATp06hcjISEmi5QFFUGJMuGQlRvcbWQOZ5EgkQMhMr9eb\nkZhWq+Vsl8hWAwqFgpPpkheIyOTFFAZ4Qy8TuafELodcKxkfneYD+tZjxK4jeEu9y9F+JldSrbZU\nhHy1oqUo0mAwoLGxESkpKYiKihLxLphDzGZba7DUbAzcfhaJ2Iqo88iikTi1iNlsfPPmTSxbtgyh\noaH48ssvJYtK6eiRXphZur8LFy5EVlYWMjMzERUVhZycHGRlZUkyrgGl4gPQp6HSmX+v1+tFC2dJ\nnwepIWg0GgQEBHCERkiM/uF3pZPUjqUUo7WVFj35+fn5eaSPCXBMmSdUsu1shECvlok02dNpRam+\nG2stBPwUIRkLkY1b+m6MRiNu3bqFxMRE3HXXXaKOk8Bdzbb2wI/elEplnzShpYWUo83GRqMR+/bt\nw6FDh7Bp0ybMmDFD0uvdsGEDNmzYYHaOdevWYe3ataitrUViYiKqqqoQExMDANi5cyc2b96Mrq4u\nZGRk4O2333ZV2SzLzAHXCYqsnFzdpNBoNEKn03EvHHnQafsXuo5FPzhkBUf/kJUlicxIlEanGGm/\nMJZluQZAMvG4+4WnIxVXJNJCJdvWrlFKJwpHwCdr0qzqzvPzU4QE1mx3TCYTGhoakJCQgFGjRkky\nJpoQ+LVfd0JoTxNf/k4vqCw5ZPC/44qKCixbtgwzZszAypUr7ZYd7hDIBAVAUAe6LRgMBmi1Wqe9\nr8hDTvojyMNH9zfwmxEB561fiM0MaZjUarVmtR5CanTdh4Dk3OmIjK6XOQs6ZUeISeoIge7XolNa\nJLXhyQZXoK84xVNpRX70xk+10lEr0LttRnx8POLi4kRf5NDpPE8224rV02Sr2Tg7OxthYWGoq6vD\njRs3sHv3biQlOWbW3M8hExTgOkEZjUa0t7c73NtBbImI0ofUeujVPmC5TsZ/oK0VbC2RFl8RaO1F\nt1UvI9EYic74zc7kGbKUYqTP5elIxRr5A9LXtazBW3zzHHWjMJlMqK+vx8iRIzFq1ChuAcBPadlK\nM9v6bG9J59E9TQEBAaIvYMgz+dZbb+Gbb75Bc3MzmpubUV9fjylTpuDo0aOins+LITfqAq4LJaw1\n01oDedno7T1IakSoMo+kAazJY8nEQkwjyaRA1w/Ii27ruoQ6ZJAXl09mdJ2ss7MTWq2Wu0b+qpxE\nLULqZWKBfHckxUnI2lqfkRh1LWvgRyrulq/ToF3ghYhCWJZFY2MjxowZg/j4eG7c/AUA3z2fT1qW\nFlNiqfNchbt6mhoaGrBy5Ur4+fnhwIEDnPpRo9Hg2rVrkpyzP2HARVC0iskZsCzLdUzbc5sgkzVR\nx/Wasd7eqVNsyTghLUIY5LvlpwfdVW8i96Cjo4OL+GgFlJB6GV+S76xtjaORiqt1LVv3xJN1JhrO\nRrQNDQ2IiYnB2LFj7Y7dkh0Ruac0aQHg7omn03nu6GkymUzIy8tDXl4eXn/9dTz88MMeI2MvgRxB\niQG6adJW015nZye3vQchJlJ0lqqXyWQycftBkVw5+b2lRkR7xVpnwU8rhoWFCZpwaHK1JP6gpfn8\n8wG3vdfo//r4+HBWPI5EKkL6tegdZIU0xzoaqUgFvmzckR6vW7duITo6WhA5AeYN25YyAISsyXdI\nnmG+q4M7Jm+65iVVTxMAnD17FtnZ2Zg8eTIKCwu5na5l9MWAi6D46iRn0NraipCQELNJl6QnOjs7\n4eNz27dOyoiJgM7ZC1n1WarFWPIqcybtRrYVYFnWblrRWZAohE4vkgmXpBeJIESr1XISaZL2BNCH\nyKz1fAgZCx1l0d83ncoi99iTdSbAXDnpqMltY2MjIiIikJSU5HKEY0mdB/Stt4oh2bYHfs1LCiNo\nAOjs7MS2bdvw008/ITc3d6CJIOxBFkkA4hBUW1sbgoKCOG++np4e6HQ6s1qPO4iJVheR/Z2cPY+l\n/iLa8NWe5QvJ2dPRmyeL/aS739/fn0sr2qqX0f1l9GcR0nakXkantfiiHCnrWrbgqhijsbERYWFh\nSE1NdZmcSKTCMIzdLSiEpgidSV27S8LOsiwKCwuxfv16LF26FM8++6zHUpheDJmgAPtbbggBaaYF\nwPVFqFQqs4I7IC0xkTy5VOoich7+5MCXvSsUCi6aCQgI8FjDL3Bbwk9SaI6uhOn+MprMaAsrfr0M\nuJ1iJPUyQjqktkMiFWt1LX5qUMwaoRhNv83NzVCr1UhLS3MpIhZTnWeJtOjUtb0UodCeJlfR2NiI\nV155BQaDATt37pTUZaOfQyYoQByCamtr4yYlovBxFzGR1b8ni8lkMiD1LgIhsnepxkNvee+O6I1f\nLyOE1tHRgZaWFq6uYk2ST6Iyco/oVKAlMYajNUIygZN6jrNijJaWFgQFBWH8+PFOp77oSMXVSN/e\neejon1bK0qRFviuSzpMq7X7w4EG8++672LBhAx599NGBLoKwB5mggNsvizMgqYmenh7OhYFEGWRS\nkerFI2krT/vD0ZMNHb1ZirTESMPYGwuJJD3tMmCNJPnKSkJmer2ei8r4/WV0w7bBYOAIjPQnkUiI\nkJql6IC/eaAzaG1thb+/P+677z6nt3RwJJ0nBci9pGuWBPznUqxn88KFC8jOzkZaWhrWr19vd4ds\nGQBkguqFMwRFuz8EBgbCYDDAx+f2zrJSqoxo0QEhJm+o7QiJ3qyRlquyd3c0UDoyFkKSYtQB+elF\noobU6XSc+EOn05mZ59IRGPkJDAzkiNKZe6PRaODj44P77rvPrimyJXgiqrUGuqeJpBZtpQgtkZaQ\nsev1erz55psoKirCn//8Z6Smprrh6u4YyARFoNfrBR1nyZaIYRjodDquZ4NWgIlJVPRL5e/v79EX\nnE+SrqicrCkIhcreCTF5QyRJogNPpFtJqpo4fRACI8IPEqWRxRh5Pvm9cXzxB8MwaG9vBwBMmDDB\nYQm0u9J5QsfiSE+T0BQhP33Nsiy+//57rFmzBgsWLMDzzz8viyAch0xQBPYIypotESlu0z0bfPGA\nEMWbLZC6gVDJuJRwlzJPiOydYRiu+diTkSRgLsaQSkovFGTxANzePJAfHRDCoJ9f8pyRVCPdX0bS\neo6mpjydzrM0FqKsdTbC5guFaKXrokWLEB4ejvr6erAsi3feeQf33HOPyFcyYCATFIE1R3O+LVFg\nYKAZMQG2BRCWJllAmNEraVAk9S1P11PIWDxFknQNhp/OcnUR4Cwc7Tdz11iELB6ELALIJE5sr6Qa\ni5RwV0+T0WjEW2+9hW+//RYsy6K5uRkVFRWIi4tDWVmZqNe/a9cu7N+/H2fOnEFmZib27dtn9dgd\nO3Zg69at6OzsFGsbDHdBJigCPkHRtkR+fn7cikuMXiYhRq+k5kCIyVvqKd40FlIHsSd7l0JB6G1p\nK7HGwm8ydvR+3qn3xR6uXLmC7OxsJCQk4NVXX+X2hjMYDLh+/TpiY2NFPd/nn38OhUKB/Px8dHZ2\nWiWo/Px8LF68GAUFBYiOjsbs2bMxefJkbNy4UdTxSASZoAhI8yRtS0RbvkjdZEsmBNI4SeApmbY1\nZZ4n4IwAwpL7AK0gdPZ+OiMMkRLkvkg9Fnv3k/bOIyk0T94Xd/U0dXd3Izc3F0ePHsWOHTuQnp7u\nVkJes2YN6urqrBLU/PnzMWrUKOTk5ADo3eo9MzMTN2/edNsYXYDsxUdAE5OPjw9nW+QOvzx60vPx\n8UFwcDB3btovj4gSpCQtvnxdqi20hYKupzjiIO2s27stBaE31ZlITdRkMrml/mbrfvK988i7ZE/c\nIgVoJxWpa6Q//vgjVq1ahTlz5qCgoMCjz4M1VFZWYvbs2dyfU1JS0NDQwJlb90d43112A7RaLQwG\nA2dX5G5iYhimzwTszCTrCml5i3wdkEaMwTAMp04jsCQe4MveiRiD+OZ5ss7E7/NSqVQebfYk94xO\nuVoyIpa6TkgrKH19fSU1dm1tbcW6devQ2NiIv/71rxg5cqQk5xEDHR0dZhupqtVqsCyL9vZ2maD6\nE4KCgrhakNTEBDhPBvYmWWdIy1s884C+YgypJ2Br95MsUPh7QZEJ2RORAZ3mlHICFgJancePssnz\nRsD3dOzu7hYk1RYKuv1Cyn2aTCYTPvvsM+Tm5mL58uX43e9+5/VOEMHBwdBoNNyf29rawDAMVyPr\njxiQBHXq1CmEh4dj6NChktZ5PBEZWCMtEhkQfzhPrsb5BW1PT8BkIqW3WRAaGYg9bjq1KOUELATO\nqPPoe0TAl2qT/i3+M2rLh9DRniZXUF1djezsbMTGxuLrr782i0q8GYmJiTh9+jQyMjIA9M5zkZGR\n/TZ6AgYoQRUXFyM/Px+3bt3CkCFDkJaWxv1ERES4/ODz5cieigz4hAWAsyUikYGY1kP2wBcdeLrm\nZctc1tHIwNV0ljdI+wn4CwhXd7Yl98NeCtua0wipNUm9T1NPTw/+8pe/4MiRI9i+fTvuv/9+r4ia\n6EUSeZ8tbQ+zcOFCZGVlITMzE1FRUcjJyUFWVpaHRi0OBqSKj4BlWfz88884efIkSkpKcPLkSdy6\ndQvh4eFmpDV06FBBD6o39TJZUsMxzO19icS0HhICd+wTJRRikYEQt3d76Sw+GXhS2g94vtmWXggQ\n/zzaPFeKuhbLsigtLcWKFSvw5JNP4k9/+pNX9Q5t2LABGzZsMLvWdevWISsrC+PGjcPZs2cRExMD\nANi5cyc2b96Mrq4uuQ/qTgTLsqivr8fJkydRXFyM0tJSbqO21NRUjB8/HmlpaRgyZAj3wNB5X09P\nMo4ay0rll0fgTU2c7uqVESp7J/fGG5wXvPl78vf3t+jmALhe19JoNHj11VdRU1OD3Nxc3H333VJd\nlgzbkAnKWbAsi5s3b6KkpAQlJSUoLS1FU1MTwsPD4e/vj6KiIuzcuROPP/64V8i0XVXmiUFatATY\nG6JJT/cz8dNZRJzjjujV3ri8pdkWEN7TZC16FdqawbIsDh8+jO3bt+Pll1/GnDlzPBq5ypAJSlR8\n9NFHWLZsGcLDw/HQQw+hqqoKzc3NiIqKMksPDh48WPIXnvbvk2r164jJKymCe7rpF3B9E0MxwZeN\nK5VKi9GWu0jL0+k8GmL1NNlaXP3rX/9CZWUlYmNjcfDgQcTExGDz5s39WkRwB0EmKDGxZ88exMfH\n48EHH+R+x7Isrl+/ztWzSktL0dLSgujoaI6wUlNTRSMtT9e8+PUCMhkAMHPIdndUAHif6IB2Prdl\nXuqq27sQeFs6j+5pkmJBQ0jru+++w+7du3Hq1Ck0NDRw7+Uf//hHs/dYLLS0tGDJkiU4evQohg4d\nio0bN2LevHl9jsvLy8PSpUu5/eUYhsGRI0fwwAMPiD4mL4ZMUJ6AyWTiSKukpARlZWVobW3F8OHD\nuZpWamoqQkNDBU8S3uSZB5hHKWQs/EnWXVGBt4kO6L4dZ8UhQoxehQgHvC2dRztkSC2cOXXqFFas\nWIFZs2YhOzsbPj4+uHjxIsrKypCUlIR7771X9HMSMtq3bx9KS0vx7//+7zhx4gTGjh1rdlxeXh72\n7t2LoqIi0cfQjyATlLfAZDKhtra2D2mNGDHCjLTUarXZBEIaSj295Ts9HiHu3u6ICryhzsQfD0lZ\nSRHB2TJ6tURaZBHhLek8d/U0dXR04PXXX8eFCxeQm5uLuLg4Sc7Dh06nw+DBg1FVVYXRo0cDABYt\nWoThw4f3MW+VCQqA7MXnPVAoFBg5ciRGjhyJ3/3udwB6J/uamhoUFxejsLAQO3fuhEajwYgRI5CS\nkgI/Pz/k5eXhnXfeQUpKikdl2vxair0+GWvNm2I1w9JRijfUmdzhAkHfJ3K9fOEA6dUii1BfX1+z\nYz0RPdH7NEnZ08SyLL766its3rwZL774Inbs2OHWSPrChQvw8/PjyAno9cYrLCy0eHxZWRkiIiIQ\nFhaGZ555Bq+88oos2oBMUF4DhUKB2NhYxMbG4umnnwbQS1pHjhzBqlWrUF9fj+nTpyM7Oxt33XUX\nF2Wlpqa63EgpFGJOvkJIS6/X2yQtb6ozAc6b3YoFuiHW19eXIyg/Pz/4+fnZdHFw1npIKNy1TxMA\n3Lx5E8uWLUNoaCi+/PJLhIeHS3Yua+jo6IBarTb7nVqt5nYrpvHggw+ioqICI0eORGVlJebMmQM/\nPz8sX77cXcP1WsgpPi/HM888g+nTp2Pp0qWcse3Vq1c5IcapU6fQ3t7eh7SCg4NFnWxoxZc7t1q3\nlh4k8PHxgVKphK+vr8dWnN4kOgCEqfOsqd34fUWu1grdWfcyGo3Yt28fDh06hE2bNmHGjBke+x5O\nnTqFadOmoaOjg/vd9u3bUVRUhC+++MLmv/3oo4/wxhtvoLi4WOphehPkFF9/xAcffGD2Z4VCgdGj\nR2P06NGYO3cugN4J8sqVKygpKcHRo0exbds2aLVaxMbGcurBlJQUBAUFuWTO6QnXczp6ohVfxDaH\njuoAcWyHhEJsSyBX4QhROuv27ghp0T1NUttaVVRUYNmyZZgxYwYKCwvh7+8v2bmEID4+HgaDAZcv\nX+bSfKdPn0ZiYqKgf28ncBgwkCOoOxQmkwmXL19GcXExTp48idOnT0Or1WLUqFFmpGXNJ9Db0mf2\n6ky2bIekIC13bR4oBFJGKUIELuT/SQTrrn2agF4xwubNm3H69Gnk5ub2Uch5EpmZmWAYBnv27EFp\naSkef/xx/PDDD33G+NVXX2H8+PGIiIjAuXPn8PTTT2Pu3LlYvXq1h0buEcgqvoEOk8mES5cumZFW\nZ2enGWmNGTMG7777LiZMmICpU6d6XKbtClFKQVreJMgAPNNsa0v2TrYpoVWmUrUTHDt2DK+99hqe\nf/55LF682OtEBXQfVHh4OLZs2YK5c+eitrYWiYmJqKqqQkxMDLKzs3HgwAFotVpERkZiwYIFWL16\ntUcXPR6ATFAy+sJoNOLixYv46aefcOjQIRQVFSEpKQkJCQlITk5GWloakpOTERgY6FELHrGI0lnS\ncqc0Wgi8re5F0nkmkwm+vr7cPQbEj2B//vlnrFy5En5+fti+fTsiIiLEugwZnoNMUDKsY8WKFTh2\n7Bi2b9+OqVOn4sKFC1yfVnl5OfR6PUaPHs1FWsnJyZIVvD2RPrMmxCDKNoPBwDkd3KnpPGfHY424\nXfXL48NkMiEvLw95eXl4/fXX8fDDD3vFdhgyRIFMUDKsQ6PR2JSNG41GnD9/niOtM2fOQK/XIy4u\njmsuTkpKcmnC9LQggw9ClCzLcrJ2ZydXMeBN3nn0eBQKhU37Jj7oxQC9x5at+3r27FlkZ2dj8uTJ\nWL16NQIDA6W8NBnuh0xQMsSF0WjEuXPnuJrWmTNn0N3djfj4eDPSsucR6G2CDHo8/PSZpUhLatLy\ntnQev6dJjIWEpUhr1apV+OmnnxAWFoabN29i7dq1+O1vfwuVSiXSlcjwIsgEJQS7du3C/v37cebM\nGWRmZmLfvn1Wj5VNHvvCYDDg7NmzXJ/WmTNnYDAYEB8fz6UHk5KSoFQq0dPTgx9++AHjx4/3Ct88\nZ9NnQvd/cpS0vDGd567xsCyL//u//8M777yDYcOGQaFQoKysDGfPnsWhQ4cwe/ZsSc4r1OAVAHbs\n2IGtW7eis7Ozv20O6I2QCUoIPv/8cygUCuTn56Ozs9MuQckeWvZhMBhQVVXFpQcrKirQ2NiI9vZ2\nxMbGYuvWrUhISPBo5CR2+sxWI6wQ0vK2dJ7QfZrEQGNjI1555RUYDAbs3LkTUVFR3N/p9Xpu6xQp\nINTgNT8/H4sXL0ZBQQGio6Mxe/ZsTJ48uY/PngzBkAnKEaxZswZ1dXUyQYkMjUaD3//+97h48SJe\nfPFFBAYG4uTJk6isrITJZEJCQgJSU1ORlpaGxMREydNZUqSrrEEIaTEMw1kUeUM6z509TSaTCQcP\nHsS7776LDRs24NFHH3XrtTti8Dp//nyMGjUKOTk5AICCggJkZmbi5s2bbhvvHQbZSUIKyCaPjiEk\nJATz58/H008/DaVSCQB49tlnAfSKEiorK1FcXIwDBw6gsrISLMti7NixXE1r7NixokySjhreigFb\n7g0Gg4HzyAPA9RMBcKsQgx4XvU+TlMauQK+5anZ2NtLS0lBYWOiROpMjBq+VlZVmacaUlBQ0NDSg\npaVF3gBRRMgE5QJkk0fHwTAM5s+fb/Hv/Pz8OC/B5557jqt5VFVVobi4GPv370dVVRUA9CEtoZEP\nf/NAqSdeeyBj7unpAcMw3HhIhEUTF9+5QaomWHqfJqlNb/V6Pd58800UFRXhz3/+M1JTUyU7lz04\nYvDa0dGB0NBQs+NYlkV7e7tdgiL2UTLsY0AR1MyZM1FYWGjxpZ46darDqbrY2Fju/xMTE7F27Vq8\n8cYbMkGJBIZh4O/vz4krgNuF+oqKCpSUlGDfvn04e/YsAGDcuHHcsQkJCX0K1j09PZy/nCfcxvmw\npc6T2ifPEvhRpTUbLDHAsiy+//57rFmzBgsWLMDx48c9XmcLDg6GRqMx+11bWxtCQkLsHtvW1gaG\nYSweywchp8bGRo84rfcnDCiCKigokPwcQk0eHVELArJiiICQVnp6OtLT0wHcnljPnDmDkydPYs+e\nPTh37hwUCgXGjRuH+Ph4lJeXo7m5GXl5eR6XsTtjMiu1uau79mkCgObmZqxZswYdHR349NNPMXz4\ncMnO5QgcMXhNTEzE6dOnkZGRAaDXvTwyMtJi9MTfe+v69evYsmULampqkJycjMzMTK/yEPQmyCIJ\nHsieOa+++iquX7+OPXv2wNfX1+LqzhWTR0fUgrJiyHGwLIvOzk5s3LgRubm5SExMhEqlQk9PD5KS\nkpCSkoLx48fjnnvucWskRe8ZJYUazpoQwxppuVMkYjKZ8PHHH+Ptt9/GmjVr8Pjjj3udE4RQg9f8\n/HxkZWXh2LFjiIqKwlNPPYUpU6bg9ddfNzvuX//6Fw4fPoy5c+ciOTkZV69exddff42JEyeioaEB\nr7zyCiZOnIitW7ciKCjInZfqbZBFEkKQk5ODDRs2cC/OwYMHsW7dOqxdu7aPyeOxY8ewePFiM5PH\nlStXCjoPKbAWFxejrq7O5rHvv/8+li5dioSEBADA2rVrkZmZKROUDTAMgxs3buC7775DQUEB0tPT\nOUVaeXk5SkpK8Pbbb+P8+fPw9fU1I634+HjRSctdzbbWIi1ruxeTJmOpyenKlSvIzs5GQkICjh8/\nLigV5gns2rULS5YsQUREBMLDw/HOO+9g7Nixfd79WbNmYdmyZZg5cya6urqQkZGB9evXc59jMpnw\n5Zdf4vz583j33Xeh1Wqxc+dOBAQEICQkBCkpKQB6twn58ssvue/C2wjb05AjKA9DiJw9NTUVq1at\n4nbabW5uxtChQ9HY2CgrhlwEibROnz6NkydPoqSkBBcvXoSfn18f0nIm2vG2ZlugN0ug0+kAgNtT\ny9I2GmIIMbq7u5Gbm4ujR49ix44dSE9P9/j1S429e/dCr9ejoqICy5cvR1tbGwIDAxEXF4cbN25g\n8eLFSE9Px6ZNm3Dr1i2kp6ejtLR0oNej5Aiqv8IVxZAM22AYBiqVCpMnT8bkyZMB3CatU6dO4eTJ\nk8jNzcXFixehVCqRlJTECTHi4uJskhadzpN6wz4hsNfTZC3Scoa0WJbFjz/+iFWrVmHOnDkoKCjw\nuChFSrAsC51Oh/fffx++vr6Ijo7GCy+8gKVLlyI9PZ1rH4iKisJbb72FkJAQrm74yCOPIDw8HPX1\n9YiMjLzjCdwR3LlPjAchtlrQFcWQI9YtsnVTLwhpTZkyBVOmTAFwewIipLVz505cunSabLPOAAAN\nB0lEQVQJ/v7+ZqQ1ZswYNDU14e9//zvmzJnjNc22Qnqa6N2L6X8rhLTIvwWA1tZWrFu3Do2Njfjr\nX/+KkSNHuu1aPQWyhcjQoUORkZGBrq4uPPbYY9i3bx/S09OhUChQVVUFk8mEpKQk7v0KDAzkRBjV\n1dWoqKjAww8/7OGr8R7IYnwJUFBQYNFU1Gg0OuU6QRRDBLYUQ3z84Q9/QEBAAG7duoUPPvgAzz//\nPCfLtoQpU6ZAo9Ggvb0dGo1mwJGTNTAMg6CgIEydOhUvvvgi3n//fXz//fc4cuQI5s6dC41Ggzfe\neAOpqalITk7G119/jfz8fFy7do1bPXsCJpMJOp0OXV1dUKlUUKlUDin0CPEolUoEBgYiODgYarWa\nk+mT2tr//u//YuzYsXj88ccxceJEREVFYffu3W4lp5aWFvz2t79FcHAwRo0ahUOHDlk9Ni8vD76+\nvlCr1QgJCYFarXbZEebs2bOoqakB0Js6TUhIQH19PVdjJu0RwO3+t5MnTyItLQ2dnZ3Izc1FdXW1\nvN07BTmC8hDo1ShpxrSmFly4cCGysrKQmZmJqKgo5OTkICsry+45dDodPv30U1RVVSEwMBBTp07F\nk08+iQMHDsgCCxFASGvatGm477778OGHH2LYsGE4cOAAjEYjSkpK8MYbb+Dy5csIDAxEcnIy11x8\n9913SyrllrKnyVKkdf/992PChAlQKpUYO3YsvvvuO+Tm5iIjIwN79+4V5bz2QC/GiI9eamqqVQn3\nlClTRLUpS09PR0NDA7d32EMPPYT9+/ejo6MDQG/tmBA2UVaqVCoUFBRg7ty5iIiIwI4dO+QUHw2y\nqZiVHxkSYf369SzDMKxCoeB+NmzYwLIsy9bU1LAhISFsbW0td/yOHTvYyMhINjQ0lF26dCnb3d1t\n9xxlZWVsUFCQ2e+2b9/OPvHEExaP379/PxscHMwOHTqUveeee9jXXnuNNRqNLlzlwMK3337Lmkym\nPr83mUysRqNhv/nmG3b79u3svHnz2EmTJrEzZ85kX3rpJXb//v1seXk5297ezmq1Wpd/2tra2Pr6\nerahoUG0z7T209raym7cuJGdMmUKe+LECbPrNxqNbGtrq1vuvVarZZVKJXvp0iXudwsXLmRXrlxp\n8fj9+/ez06dPF+38lr53lmXZYcOGsS+88AL77bffsps2bWJPnz5tdvzatWtZhmHYvLw8u591h8Mi\nB8kqvjsY3333HebMmYMbN25wv3v33Xfx4Ycf4vjx432Ov3btGhiGMbNuWrhwoeyMIQHYX0QupaWl\n3NYk165dg0qlQkpKClfTio2NdWgjQHca35aWlmLFihV48skn8ac//cmjjeOnTp3CtGnTuGgFAN58\n800UFhbiiy++6HN8Xl4eXnjhBQQGBoruo6nT6VBcXIwHH3wQy5Yt42qaixYtMnOfAYCamhoMHz6c\ni0aNRqPHxTQegqziu9NgT4yRm5uLtrY2s99bs24BHLdukvfOcR4Mw0CtVmPGjBmYMWMGgN5JX6PR\noKysDMXFxcjJyUF1dTWCgoLMSGvkyJFmEylJF3d3dwt2pnAFGo0Gr776KmpqanDgwAHcfffdkp1L\nKBzx0QOk9dEsKyvDzJkzsWzZMqSmpuLRRx+1Wi++6667AIBLCw5QcrIKmaD6MexZN+l0OhiNRkHW\nLdZgK8IWmvPPz8/H1q1bzZww1q1bJ9fBeGAYBqGhoRZJq7S0FMXFxTh8+DBqamoQHByM1NRURERE\n4KOPPsJzzz2HzMxMSSc4lmVx+PBhbN++HS+//DLmzJnjNtNTTy/GHEF0dDRef/11DB48GE8++STn\nEMHaaMS9kyX4rkBO8d3hEGrdAjhm3STvneM5sCyL2tpavPzyy/jyyy/xyCOP4ObNm5xDQVpaGsaP\nH4+YmBjRCKSurg7Z2dmIjIzE5s2bva7/TqfTISwsDJWVldzzuHDhQsTExAhaCH300UfYtm0bSkpK\nRBkPiYgA28Qkg4Oc4huIsGbdAsAl6yZ57xzPgWEYHD16FEFBQbhy5QoiIiLAsixaW1s5N4zPPvsM\ntbW1CA0NNSOt4cOHO0RaBoMBu3fvxqeffootW7Zg2rRpXjnZqlQqPPXUU1i7di23GDt8+DB++OEH\ni8fzF2M5OTmYO3euaOORyUkcyBGUDKfgiABjzJgx+Mtf/oJHHnkEQO+kp1Qqce3aNS4HL0N8sCyL\nlpYWnDx5EsXFxSgtLcX169cRGhrKyd3T0tIwbNgwi6R16tQprFixArNmzUJ2dja3waS3gq6JhoeH\nY8uWLRzp8Bdj2dnZOHDggNlibPXq1XINyHOQIygZ4sFde+fIcB4MwyAsLAy/+tWv8Ktf/QpAL2k1\nNzdzpPXxxx+jrq4OgwcPNnN437dvHy5cuIC9e/ciLi7Ow1ciDIMHD8Znn31m8e9GjBhh9gxu27YN\n27Ztc9fQZDgJ2UlChlOg984hsLd3DoEjThgEQl0CpHAIuJPAMAyGDBmCRx55BKtWrcInn3yCEydO\n4P3338eMGTNw4cIFLFy4EHfddRf+8Y9/9BtyknFnQk7xyXAaYu+dYwtEvr5v3z5OMXjixIk+58rL\ny8PevXtlUpIho3/BYopPjqBkOI1du3ZBp9MhIiICzzzzjNneOWq1GtevXwcAs71zRo0ahdGjR5vt\nnWMPxLIpJyenj2WTDBky7lzIEZQMqzCZTKipqcEXX3wBnU6HyMhIzJs3D11dXW5V3zniEiClQ4AM\nGTIkgxxByXAMRUVFOHr0KDIyMjB//nyUl5dj27Zt+PDDD/Ff//VfbjMBdcQlgDgENDQ04JNPPsGh\nQ4fkYriXYteuXZgwYQICAgKwZMkSu8fv2LED0dHRGDRoEJ599ln09PS4YZQyPAmZoGTYxOTJkzF8\n+HAMGTIEP/zwA86fP4958+ahsrKSk+lKDUcUg7GxsZxjNHEI+Nvf/ubQ+RyZOOVJ03kMHz4ca9as\nwdKlS+0eS7uRVFdX4/Lly1i3bp0bRinDk5AJSoZFsCyLGTNmICkpCQDw8ccfQ6vVYsWKFQgLC8Py\n5cuxfft2qFQqycfiiGLQEuyksftA6MQpT5quYfbs2XjiiScQFhZm99j3338fS5cuRUJCAkJDQ7F2\n7Vq89957bhilDE9CJigZFsEwDPR6Pffn9957Dw899BASEhIA9Hqjpaeng2EYXLlyBZcvX8Z//ud/\nor6+XvSx0C4BOp0O3333HQ4fPowFCxb0Ofarr75CQ0MDAHAOAbSLhRAInTjlSdN9qKysREpKCvdn\n2o1Exp0LmaBk9EFnZyfee+897NmzBwBw/PhxnDlzBvPnz+ccyIl9C8uyOHHiBHJycnDmzBlERUVJ\nMiahisFjx44hOTkZISEheOyxx5CRkWHVrslVyJOm+9DR0YHQ0FDuz2q1mtuyRMadC9lJQkYfaLVa\nHDp0CEajEb/5zW+wfv16pKamYtKkSQCA8vJyVFRUcH1Q8+fPR09PD/Lz8wFI4z9mzSXAkw4BtibN\nge4xaM993NE+NdmNZGBCJigZfRAWFoa1a9fi22+/xU8//YRFixahvLwcBQUF6OnpQVNTk1nk0N7e\njsrKSsTHxwPolacPBE8zedK0DntbwTgK4kaSkZEBwDk3Ehn9D3KKT0YfKBQKTJs2DStXrsTvf/97\nLFq0CPPmzUNtbS1aWlowa9YsM4GCTqdDdXU1R1oDxb1ZDAsnoYrBO9HCyWg0oqurC0ajEQaDAXq9\nHkaj0eKxCxcuxN69e3H27Fm0tLQgJycHWVlZbh6xDHdDJigZFmEymTj1m6+vLyZNmoSFCxdi7ty5\nfcQDTU1NaGpqQnJyMoD+T1BCJ04xJk1HpNZTpkyBRqNBe3s7NBoNHnjgAYfO5W3IycmBSqXCli1b\ncPDgQahUKs7+Smw3Ehn9FCzL2vqRIYNlWZY1mUysyWSy+HdFRUXszJkzWaPR6OZRSYP169ezDMOw\nCoWC+9mwYQNbU1PDBgcHs7W1tdyxO3bsYCMjI9nQ0FB26dKlbHd3t1PnXL16NZuVlWX17/fv389O\nnz7dqc+WIaMfwCIHyTUoGYJgKSrq6OjgalORkZF3jJ3QunXrrPYz8VVjL730El566SV3DAtlZWWI\niIiQLZxkDBjIT7cMp6HX63HmzBkcP34cVVVVOHLkiCz7lQiyhZOMgQh7ZrEyZAgCwzB+AEIAtLEs\na7nSLcMqGIZ5DcBwlmXtm9L1Hj8XwH+zLDtB2pHJkOE5yCk+GS6BYRgFALAs2wOg2cPDGWjo32oU\nGTLsQE7xyXAJLMuaWJY1eXoc/RUMw/gwDBMAwAeAL8Mw/gzD9GkiYxjm1wzDRPzy/wkAVgP43L2j\nlSHDvZAJSoYMz2I1AB2A5QDm//L/qxiGGcEwTDvDMDG/HPdvAMoZhmkHcATA3wBs8sSAZchwF+Qa\nlAwZMmTI8ErIEZQMGTJkyPBKyAQlQ4YMGTK8Ev8fkyCGyloNu44AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "fig = plt.figure(figsize=(6, 3.8))\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "\n", + "X3D_above = X[X[:, 2] > X2D_inv[:, 2]]\n", + "X3D_below = X[X[:, 2] <= X2D_inv[:, 2]]\n", + "\n", + "ax.plot(X3D_below[:, 0], X3D_below[:, 1], X3D_below[:, 2], \"bo\", alpha=0.5)\n", + "\n", + "ax.plot_surface(x1, x2, z, alpha=0.2, color=\"k\")\n", + "np.linalg.norm(C, axis=0)\n", + "ax.add_artist(Arrow3D([0, C[0, 0]],[0, C[0, 1]],[0, C[0, 2]], mutation_scale=15, lw=1, arrowstyle=\"-|>\", color=\"k\"))\n", + "ax.add_artist(Arrow3D([0, C[1, 0]],[0, C[1, 1]],[0, C[1, 2]], mutation_scale=15, lw=1, arrowstyle=\"-|>\", color=\"k\"))\n", + "ax.plot([0], [0], [0], \"k.\")\n", + "\n", + "for i in range(m):\n", + " if X[i, 2] > X2D_inv[i, 2]:\n", + " ax.plot([X[i][0], X2D_inv[i][0]], [X[i][1], X2D_inv[i][1]], [X[i][2], X2D_inv[i][2]], \"k-\")\n", + " else:\n", + " ax.plot([X[i][0], X2D_inv[i][0]], [X[i][1], X2D_inv[i][1]], [X[i][2], X2D_inv[i][2]], \"k-\", color=\"#505050\")\n", + " \n", + "ax.plot(X2D_inv[:, 0], X2D_inv[:, 1], X2D_inv[:, 2], \"k+\")\n", + "ax.plot(X2D_inv[:, 0], X2D_inv[:, 1], X2D_inv[:, 2], \"k.\")\n", + "ax.plot(X3D_above[:, 0], X3D_above[:, 1], X3D_above[:, 2], \"bo\")\n", + "ax.set_xlabel(\"$x_1$\", fontsize=18)\n", + "ax.set_ylabel(\"$x_2$\", fontsize=18)\n", + "ax.set_zlabel(\"$x_3$\", fontsize=18)\n", + "ax.set_xlim(axes[0:2])\n", + "ax.set_ylim(axes[2:4])\n", + "ax.set_zlim(axes[4:6])\n", + "\n", + "save_fig(\"dataset_3d_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure dataset_2d_plot\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax = fig.add_subplot(111, aspect='equal')\n", + "\n", + "ax.plot(X2D[:, 0], X2D[:, 1], \"k+\")\n", + "ax.plot(X2D[:, 0], X2D[:, 1], \"k.\")\n", + "ax.plot([0], [0], \"ko\")\n", + "ax.arrow(0, 0, 0, 1, head_width=0.05, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", + "ax.arrow(0, 0, 1, 0, head_width=0.05, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", + "ax.set_xlabel(\"$z_1$\", fontsize=18)\n", + "ax.set_ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", + "ax.axis([-1.5, 1.3, -1.2, 1.2])\n", + "ax.grid(True)\n", + "save_fig(\"dataset_2d_plot\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "PCA using SVD decomposition" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "m, n = X.shape\n", + "\n", + "X_centered = X - X.mean(axis=0)\n", + "U, s, V = np.linalg.svd(X_centered)\n", + "c1 = V.T[:, 0]\n", + "c2 = V.T[:, 1]\n", + "\n", + "S = np.zeros(X.shape)\n", + "S[:n, :n] = np.diag(s)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(X, U.dot(S).dot(V))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "T = X.dot(V.T[:, :2])" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(T, U.dot(S)[:, :2])" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "pca = PCA(n_components = 2)\n", + "X2D_p = pca.fit_transform(X)\n", + "np.allclose(X2D_p, T)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "X3D_recover = T.dot(V[:2, :])" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(X3D_recover, pca.inverse_transform(X2D_p))" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.93636116, 0.29854881, 0.18465208],\n", + " [-0.34027485, 0.90119108, 0.2684542 ],\n", + " [-0.08626012, -0.31420255, 0.94542898]])" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "V" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.93636116, 0.29854881, 0.18465208],\n", + " [-0.34027485, 0.90119108, 0.2684542 ]])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pca.components_" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "R = pca.components_.T.dot(pca.components_)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 6.77645005, 0. , 0. ],\n", + " [ 0. , 2.82403671, 0. ],\n", + " [ 0. , 0. , 0.78116597]])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S[:3]" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.84248607, 0.14631839])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pca.explained_variance_ratio_" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.011195535570688864" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 - pca.explained_variance_ratio_.sum()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.84248607137528864, 0.1463183930540225)" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S[0,0]**2/(S**2).sum(), S[1,1]**2/(S**2).sum()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "2.8240367131730801" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sqrt((T[:, 1]**2).sum())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Manifold learning\n", + "Swiss roll:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sklearn.datasets import make_swiss_roll\n", + "X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure swiss_roll_plot\n" + ] + }, + { + "data": { + "image/png": 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b/l4xMTEsX76QDz98gS+//JnIyBM0bx7O5cvZnDhxgWefHc+gQYNLbePp6cmU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\nEUIIEaX/A+YDnXoATpHjAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "axes = [-11.5, 14, -2, 23, -12, 15]\n", + "\n", + "fig = plt.figure(figsize=(6, 5))\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "\n", + "ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=t, cmap=plt.cm.hot)\n", + "ax.view_init(10, -70)\n", + "ax.set_xlabel(\"$x_1$\", fontsize=18)\n", + "ax.set_ylabel(\"$x_2$\", fontsize=18)\n", + "ax.set_zlabel(\"$x_3$\", fontsize=18)\n", + "ax.set_xlim(axes[0:2])\n", + "ax.set_ylim(axes[2:4])\n", + "ax.set_zlim(axes[4:6])\n", + "\n", + "save_fig(\"swiss_roll_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure squished_swiss_roll_plot\n" + ] + }, + { + "data": { + "image/png": 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PzZJ3UFAQEtINmLRBhjNXgT5LgPR0oIrRhDAp8Hl6Kn7+8UfcvHkTI0YOx7EPk/HJ+6k4\nMTsJv/58NNe/07Vr19C183tYP+oBEnebUNvvZ7SJaFQYYs1GXp6V0LAwyAQBBEAAErUawSEhRVIf\nOwcHmGSyzM9pAExSKRo3aYKKFSsCMP/NXtxr8ttvv8GGRE0AEgAhANwASH8CnMsDJUIloMwVHTt1\nBgAcPXoUEc2bo1G9evDwdsN16XM1cVUmQyoJucmU+d0jAAlJSZhhNKINgLGpqfj9hx/QomlTbFu4\nEG3u3UPF27cxtH9/eHu5YNqksfBMTobcUh//jAxcunixSOQFmP3b3dzsMz97eNhj48a1efJ1zyt9\n+vSCn58Gly59gAsXpqFGDVdMmJC1P0gkEkgkEqSlPf/bpKUZIX1BvtbW1jh9+gJksgbo2TMdx48H\n4PDhk7C2ti60uopkpWZoKCQaTWb/lQkCQmrWzD1+zZooHxRk7nuW7zIApKWnv3RTLkmsXLECjerV\nQ+eOHXHv3j3IzUYSzsDcl0snJeHI6tWoEhSECoGBWD9zJo4tWoRGdeti165dePLkCR49fgxfS546\nAB5SKX799dcCtX3Tpk0Y3KMHyp09izJnzqB3hw6Ijo7GwoULMSEpCW0AjE5OhikhAWdf0DtXAHjg\nuT5xMJnQu2tXsywKeZ/bP3XwqVOnYJeQgBnMsIwjT/Hj+fO4e/cuAPOYFm8CLKLFYwKABItWrIRV\ng5ao+EiPnlIXLFnzJapVq1aodS0KXjUGSSTIOg8wPZ8HkIRv8TKYsEGKiRuAKV8DI9cCT9OAplWB\n7ZOBtSMyMKu7EfUqmvDdoiTMnjk63z7+3Xv0RESboShdRwWPKgr4lYzEhIkfwGg0YuqU8Sgb6I3q\n1Upj9+7dWdKNGTMUYWEVMHZsc5Qq5YPjx4+/sv0TJ05D06YDMWAAsWiRDdati0blypXzVd/8UqZM\naWRkPB/z0tIy8PjxY/TqVR3nzk3ClSszkZx8BytWLEdiYiJsbAwQBDUAQK1Wws7OComJiVny/PHH\nH7Fu3Tr89NMOHDz4BY4f34D+/SfAZDKhevWKmftT3un5ak5WxbsUUER7IJ48ecJNmzZx/fr13LZt\nG0OrlGe5Ej4cN2r4G/HJfl1MJhNbNq3PFpU03Nof7BeuZPky/kxJScl3Pq0aNmR9g4ZD1WADg4Yt\n69enyWTiogXzqdUoKSjBhd3ANf1BDyeBX61fT5I8d+4co4YO4sjhw7K5Rj3j9u3bLOnnRhdbsENN\n8PAHoJsOPCwDk+WgtUrFK1euUCcoaNoDcq85NKwk49q1a3PM84svvmD7ejryCMgjoOkwqFLKmJiY\nmOd2p6en8/fff3/lW4+8+B9mZGSwQ/v2VCgUVCmVDK9dO191IckTJ05w8eLF3LNnz0uXku/cuUNH\ne3s6KZV0lEqpUig4ffr0zDRzP/yQWpWKCpmMLRo04JMnT3jr1i1aq9XcDPBbiwuCHuBXAGcBlAOs\nUrkSDxw4wDFjxlBQKlkGYCBAQamgnU5gqE5geYWCDgY9Z8+eTYMgsDrAWgA1EgnVAL8BuMkSysjl\nlEml/ATg55ZQGaBMCvbrCXrKwGGWFYgaMhmbN2qUL3nlh4kTx7NKlRK8dGk5Dx+eTVdXHUNCVJw+\nfWqhlRESUo3ffDOI5DqS67hv3yiGh4dkizdixDBWrerPDRu6c+TI+vT2dmd8fHyh1aOowL94BSI5\nOZkNGjSgUqmkQqFgmzZtchwDYmNjuXz5cn7xxReMj49nlUqVaFAq6SSR0Ear5ZDBgzPjmkwmrl+/\nnn169+asWbOYmJjIaVOn0latZnmAJSQSGrRa6tRqVrb0wbYA2wNsB1CvULCMVMrGAHsBrA+wbMmS\nfPDgAa10OtazrED0A2gnCAV+A1u/Zk32e6GP9gDYKDycVipVlv4cpNfTxd6eVXQ6hggCVQA/fkGf\n6AA6WVuzmKsrpRIJ/dzc+MMPPxSoTg8ePOD169cz3cH+qYNjYmJYXq+jSQ5S8XwceeYKmJyczPLF\n/dnZoOQSHVheL3Ds8OEFqkthkZyczM2bN3PdunW8e/cuz5w5w/AalRno78WhA95/6bj9qjHo5MmT\ndLARuKIzuLYn6GYvMDo6miTZsllj+jqBszuCwSVAnRpsXxN0sgZXDX0+3h6fC1YraR5Pp/cER48q\nmEuQyWTKMn5NnDCaNaoKPBcD7vwadHR8vuoTExNDX18t4+OlJGXcvVtKDw/7fLf/TXDt2jU6ONhy\n1qwW/PLLLvT1daGzsz0vX57NZzr/o486ctCg/kxNTWVAgD8/+KArr137nLNn96Sfn0+me/kztm/f\nzsaNw0lezwxOTvY8c2Ynvbw8MvdEvQvtz03/v3UD4VWhKAaQ+/fvs6SvF+v56tjUV0NBDi4KBc9G\ngmHeakYNyt3/9V0iJSWFk8aPYdP6NTm4f5+Xbvx7GWlpaVwwfz57d+rIj+bNY1paGvfs2UMfF4Fd\nQ8Hp7UB+Yw57xoLBVfLnnuPlbs9ry0BuM4cp7cBmUrCmVML2LVrQZDLR1UnPKZ3ApK3ggRmgXgMO\nH5Z9Uy9J7tmzh+VL6Jh20Kzwfv0C1GlVefYZjI2NZSlvb7oLAg1KJcdERRXKXopHjx7xwYMH+c5r\n1qxZ1AsCHdVqWmu17Na160vjx8XFcf78+Zw+fTovXbqU+f327dvpJQjcAvAowEYqFbu3b0+SnDx+\nPF0FgfVVKtoA7ATwI4srkzdAT4mEUoBaqZSBABtbQjmAYcFBXLx4Mp2dHbnZskFv3759rFS+PEv5\n+7OYuzttATYBuARgf4CCTEalVMr5L0xOyplflFGvBiuUNm9AddPr6eflVaSbQdPT0+np6UAvLw3L\nlhW4caOEq1ZJ2LVrm0IrY9KkCYyIqMq0tDXMyPiSXbqEcejQQdniGY1GfvLJIrZp05zNmjVm6dLF\n6evryaioIa/cd/Q2+TcbEM948OBBrq5iZ8+epV6no6Mg0EGrpY+3N+/fv89169Zx8uTJ3Lp1a5Z+\nP3LECNoJAn0BuqnVLB8YSEGlYugLfctTJmP37t0ZWLJkFgOivcWAqGwxHnoBbAnQw8mJtgYDPbRa\nKgFaKxTUq9WcNnlygdvcJDycPV/oo50BtmnWjEFlyrClXJ7Znx2srHjjxg1u3LiR69atY3hYGG0A\nNgDoBDAIoFYm40yAJwF+ANDZxoZPnjzJV32mTZxIvVJJD62Wfm5uvHr1arY4qamprFqmDDtrVPxS\nBtbTCuwQkfVwjsePH3PKxIns07kzv1iz5q3ulXv06BFL+XmxmpOUDTxAnVJKa62aa+qBP7QDmxdX\ns1uHtq9VxvHjxxnZqglbN6uXuY9m//791KnBKwufj99dw8D53cEvh4DFnMEbq8H/bQTDy4HjO5pf\nxr0XruK8efMKo+ksUdyVP50A+dgcPpgAjhwxjCT56aefsls3HUkZSRlNJillMskb2ZhfEC5fvswu\nXTowIKAYHRxs6ebmwE6dQmgyrWVi4ioGB5fiypUrSZI3b95kkyYN6OXlzoYN6/LGjRtZ8tq5cydL\nlSpJrVbgDz9sI3mdGzYspFaroUaj4fz5hSP/wuKNGxAAlABWAYgF8BjAeQANX/i9DoBfASQC+BaA\nZy75FLowRg4bwvcDFWQfkH3A2VXAVsVADgZ/7wq62FvlKZ+MjAxevnyZv/zyyzu14eV1efz4McNr\n12LtUmBEZXBOp+cK6NBEsFpQyXzlVyHQj7smPDcg2gaDrgawQpmAzLdMlcoXZ0U/UKkAi7mAYyLB\ndm1y9os3Go1s2aw+q5TW8f2Waro4CFz9+Wc5xr1y5QobBAczwM2NnVq35oMHDxhetSrHS6X8H8Cr\nAAO0Wm7fvj1/QiokHj58SJVSSR+A/gB9AeoF4ZV7UHJi6KBBHADwlCVsBOjj5JT5+3fffccVK1aw\nbmgo3bRaGmQyBgAMAxgK0E4KWmtBJ5l5b4UPzCc8KaVSajQazpw5I8dyt2zZQo1USieAgiVotVp2\naNuWzgB7AqwHs8FQzDJR0qlBjUbOs2fPvpEBo0ePduzXT0WjUcqUFCnr19dy/vw5hZZ/SkoKGzeu\nTxcXe7q5ObBWrZAsGzv/yalTp+joaMN9+wbzl1+msF69QA4blt3gyCtxcXE8e/ZsgV8ivIr8GhDv\nsv4vCFUrV6aTpY/6A7RTKjlxYs4nvzx9+pQKuZzVX+hbDlotZZbPzwwId4CTJ0+myWRio/r1WUyt\nZijA0goFXZycaKXRsCHACIAegkArrZZNAA4G2BegvUbD9ZbV4IJy6NAh2mg07GgxXKw1Gn733Xe8\nd+8em9atSxcbG1YJDORPP/1Eknzy5AmnTJrELm3b0tvdnTYKBYsJAp1sbRmg02XqnlMASxgM+VqF\nOHToEH20Wv5ieRHhA9BBoeCiBQsyDYDDhw+zV4cO7NW5M3t368b2TZty7qxZWTavJyUl8ZNPPuHE\n8eNf6/Qyk8nE33777bVPipswbiwjfUFTb/N8Y3Ew6KM3zzc4GHzYF9SoFIVu5IwbO4bWWvD3T56P\n3z3DwbndwPtfWnSwEhRUoJUW7NEQrBkIlizhlW/DjzS/pe/3fnd2bN+Cmyz++xXK+/LgtucGxKC+\nMk6eZO4333//Pd3dBd65Y16BWL9ewuLF3V673Q8ePODZs2d57969187rn7Rs2ZSdO9fgb79N48aN\nvajVquju7kB7e2t27945T/PAM2fO0NHRnnv3LufHH4+hRqOmXq+jl5cnDx48mG2l4l3gbRgQAoBJ\nADwsn5sASADgCcAOZtfpVpaBZg6A73PJp9CFUTcsmKvDkGlAHGsGVnc2d+bTbUFPJ9uXpjcajRw6\nqB/VcglVMtBeI2f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p0k8wZdxoDBk5BoMGDcLEsaPw6dKPEWgvwa8PpajbtBXin2Yg5j5Q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RlCth4LWhQus6OgIDvBje1Tlbj/3wiRASZCvwPpcuXWLVqlVs3ryZ4cMG0raVjpTbwv3rQp2a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yBC4hVFbuj1ctVkktZt20qhQoWy1HZ8/H2x263J/+3paRNHYqKsX79e7t27J7Nm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\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l9j3H5/0nRVRuanF3d3/u9meF06dPS4d2zWXpO9flwXakZcVfpXHDGhIZGSmTJk0Sfy8v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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(11, 4))\n", + "\n", + "plt.subplot(121)\n", + "plt.scatter(X[:, 0], X[:, 1], c=t, cmap=plt.cm.hot)\n", + "plt.axis(axes[:4])\n", + "plt.xlabel(\"$x_1$\", fontsize=18)\n", + "plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n", + "plt.grid(True)\n", + "\n", + "plt.subplot(122)\n", + "plt.scatter(t, X[:, 1], c=t, cmap=plt.cm.hot)\n", + "plt.axis([4, 15, axes[2], axes[3]])\n", + "plt.xlabel(\"$z_1$\", fontsize=18)\n", + "plt.grid(True)\n", + "\n", + "save_fig(\"squished_swiss_roll_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure manifold_decision_boundary_plot1\n" + ] + }, + { + "data": { + "image/png": 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qKiI0NFQIVEPgZhSg8uOtrFA2MDDQzQItqB8uXNiD1arWGp05cwKbTa2fsliC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jTAt/NEbUCSJObNew2Arl17YLEkMmCAyKpViSQnL2fNmgWMH1/I558vYtSoB3jqqdkkJQWwd+8g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\njPXr1+PAgQOSqsy9fOrQ/99F0Xf8yZA0gUAApmli4cKFOHz4M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9KZKSmkhN9VVB1ppUlDZ/+tNGHYfxnj1Nqs3Y6IAM1lkXzPnBxgJbzZXLb7kc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\nE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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure manifold_decision_boundary_plot3\n" + ] + }, + { + "data": { + "image/png": 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QhdOn0WfmBw7AnXeqf/fta2HjxlaMHfut6cxdUZSg2f5ttymsXAk2m5elS2cy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OsgSRIRERF+Cec1a97lwQc9Xs/cL36kaIxg5OknVdXQASg5okGlfmLau3c7Z870paBAvKfmoiwW\n+P3vBROvtraWAQOOIEmCPSjLDjZvXkh6emWDvDdFUVi1aj4PPljDrl0QHQ25uU5qat4OWjPVomuo\n9EZIV6sXXQJXfAcJCSIfFxPTneTUizu/dLGioqKCjh29q6ITEhKw24NHVZobYQPVzDjXUKGiKFpD\nQLXVQ2JiYuAaCV9mVTmY3CZyYoSkkTXHSoI1AUuUxUsJ/VwLbM83PCLLMrW1tdTW1tZbyCxJkl+y\n+O4H72SH9Ue+nOp5r6q6QhA7gsguqfRedfxT0qdounKgcPZsKTXOSiJleOr3ovvvtdfuY9Gi53j+\neTHO/v3h5Zc9RcK9eh0gM3M5I0bcHZSeDsJbu+66bAB27YKJE2HOHIiO3hu0ZuqC1lCVh76r+ayJ\n+JURKLKbVnIEXWjHtVeK2G+7dn1CYliG4Y+hQ4fy3XffGS5OBg8ezPfffx/0+Li4OGw270VseXk5\n8fHxjTrO80XYQIWIC5WDUgsHVWmX6OhoLBYLFRUVwQv4fMN7y0H+jUxh3T81P+T4ypM8ra8nlEWx\nYNvk75lZFN9CGDQDmeBIoHdqb69r6OF2u5n44kRyi3K1tif78/bDKQjiRPkhpygHu9E8vQn/tuE6\n+ArRFpwpMBTHrV6XwPz5l6MoVg4caM2oUYXo54aoKFE3BcJ7W7RoPsOG3RnQu1HDk3v3biMrqy0r\nVpzlzjurkSQYPBiWLYvl2LG3DGumhg8f22Q1VGqe6fiJI1x9VRft/eQOyViPWIUqRAO+BgPSbmbt\nBx5hV1XItj7DHUZwbNp0fmyjnj17smTJEu33yspK8vLy6Nmz5/kOrVERNlB1aGkkCLfbTXV1NbW1\ntX6dflUplgYhwEdztnF6ckf19IRK7ZFKYZJ/r6Wuh7r6j6nOQPbK6cXX87/2Kkx0uVyax+R2u8kr\nyfMWFFVtWBDpG190vrobxzhlvFGtu2mIooGvOK5LYdupE/RPdUOpzKlTg/jyS2EUTp4s4dZbc5Ak\n4VFJkuj2++23axk58teGdTDq708+OQtFeY0nnhjBoEE/AsJAbdnSlsTEXNauXQYoWm6tZ88DvPHG\nC16/Z2Qs1wyZaqhkWWZK+pQGK3VoeaYUOIYusZ4LDqfD8BgNJdD5m8s11qJ6rTDODec7H7ndbpxO\nJ263G5fLRU1NDZGRkURERHDPPffwzDPPsGzZMsaMGcNLL71E3759W1T+CcIGqkVBZbdVV1fjdruJ\njo4mMTGx2VabOQUeRXM9UjqmsODVBSR3SEax+n9pki8Xk5Ap13uciqKQ1D5JC5v5ys4ktU9i7vNz\nA34RI92RWNZYkOoKa2LMMaR0SSGpQ5LWtiEkz6E13kn9UBafPmoI9jrO44k98Me7K+jWbQKjRgmW\n1BtvPMOpU+358kv9Zwe7/QetE3AwZGQs01p3qJCkI4wfr7B48XsAWm7txhurmDlzET16VNGvH3y3\nt4pdX04kecVf664rjGB1oZ3YyxMNvUElR2HS9Ema8VLvoTXHSmlNaWBdvSqHCJnWNXf0RafYTuxb\ndbjezxtGw3Cu3vGrr77KSy95auo++eQTZs6cyYwZM2jfvj1ffvklEydO5I9//CM33XQTn332WWMO\nu1EQNlAtALIsU1NTo/U+Utl45/pg+tLDAbbKW/3VJtRCy01AORTWFlJoLxQTkJo/jfTkv+a/NP+c\nZJFGPjLScKKMtEaSkJAQMFQ5oPcAvp7/tWEFfkVFhZcQaEO8yogz0GtPXaK+XcOFOIVk0duMHHk3\nkiQxbdocbduk6ZM8dPvyLL55ZCQg/ibvvfKe4fmysrZTWnoDR46I30+eLGHIkBwkSSE6ei9JSZIX\nozAlpYqSEpGzOmGHotEVFPkwMtvnmehYZrwaliSJzG2ZFMb6eMO1BKxhsllsMAaPYTJg8SXnJmv5\nw3AI78Jj5syZzJw5M+D2YcOGcfDgwWYcUcMRNlAhorFCgPrzqKQHp9OJ2WwmLi4upN4v9Y3FKI/U\n8Vcd/WVkDFSlAe8WGps812yoYVINbzDjEeycJpMJi0Xkt7wmfh3UcFVDJsSOcfHcfHlPlMugTZtk\n7Ha7No5QDJ0gQuwnM3OF5kWpyC3KFUrzvvCPtGnQGzhR/DuUm29Ww4W1fPNNHCdOCEG/o0fzKC0t\n5NVXZV55JY6iagkM6tmuuFymsPBEgPFLgnJvRBVvQFjVF3olcKP7qC4unE6ntijR//31r8MGLgwI\nG6hmh6q5ZbPZkGWZ6OhoYmNjm/wL6UVw0NemhIiGGCdVdNPlcmE2m89ZjTn3SC4j6zyQvTl7jZUp\nrGIyS+2UinWDFUetJ09iK7FBNOK/LiQlu2J5882N2oSpjtftdpPUPgkpRyLbkW1YyFxUFM/nn/dC\nURRKSzcxaNAwr/xaIAaiep1gCteTpk9ix6HtVFcf5ud3PO/HmBwMHfooo0b9moyMZRQU/D8kqYrR\no2VOb7qa/+AfVpMkaNWqMuB9rXBUGG4LCQZKEL1Te5NyWQoxMTFe90C9x7W1tTidTi0Hoi6yfMO+\nKnyp/+o+6nHq96UxDZx6/jBaDsIGqpkgyzLV1dWalH9MTIxX7VJT485f3al5IDlVOVQ5qrA7z73m\nwcijURSFrm27Mvf5uRrbMJTPl9IxxdDDyK3ReSM/Ypj3yK0SYzAKn10+9HJDo+ZYI4yY6uG5XC6i\noqKIjY3lr7NFLmfkIyPZgr8nlJTUhzffzAyoaB3o88qyTFVVldekrDdskiRx+PRhDgw45P851rXi\n55+3cvvtd7J8+V946CFPPurNL0/67a8iLs7Yy3bUOkR7dSOo7TF8NfbqZgpfVib4hy9V46B6S2py\nPj4+PiTD4Wvg1J9GxsyXeKIikCfsW9ytXywEOlcYFw5hA9WEUHM3NTU1OJ1OoqKisFgs1NbWelGb\nmwO+Yb/Kykq6jO5Sr9xRIAQMZeVCfHx8gwxvoNzMyEdGagW1RGEYklKNjQq94XRUG7POLGYLlZWV\nGhFl6qypfmy33MO5WHZbMCd456hyo3KZNH2SNmbfz6n97sMC3O/Yz31P36dN5r6GLZhxK7RV8Nc1\nS/n3zvU4nVb2vgNXxcPT/wOxscZeEsDZ/0D0cjCZLLhqXbglMWnbK+0QqNwlEY+gq8H97p3am8y/\nZga8JniTfSIiImjVqlWDvOjzjSYYGTij99TXalTD5XJhMplwOgOLCTaV9xaGMcIGKkQ0JAelhjSq\nq6s1CSI1jBdMg645oJf1D6WeJd4RT7d23aitrfVa7Qf6DEa5Kl8PKfdwLg7JQW6UJ4Sn7hfIWIUK\nL8N53Hifbp27YTabiY2NRZIkrMVWf2ObLJTdfT0wGza+XPMluY94e49Fx4ro2Lkje3P2iuuqHkgd\npd2GTXhkdfdh8ozJfh5ooM60cjuZIoooutlTGHbgKxN7XojjbKmDVssj6dvzBo4fz8fprAAJarHg\ninRQc6cd8DHUwViMJRC/Jp5YJVYz/hazhZSuYmDBaON6j0mSJGJjY0PKqTY2jAxEIAOpRjZcLhcx\nMTFefZeCeW/BwpPB8pgNNXCXukcXNlCNCDWXoYY0fCWIoHG0vs6FsKEaJtU4RUdHc7nlcqQ1YjyO\nKoe2wo5yRtEvt5+giQ9M4q3pb2nqFeo5An0J1R5UIGjk76S/w1vT3/IybmMmjGFL8hYvySEgKJGg\nMREREXFeHqzNYvMzaAk5CeQk54Dv/O1jDNS82t6cvd5yVJH4N/4LAmcbmVNDxfEJa0QotXPnJC8j\n321kN4wIFNr1fEN5ZcBlkNYpjRXvrDD08kAoDviGJ/U5NjXPpEYQjJrzXWioBfBqNKOhXn8gNDQ8\n6fseeAzcgQMHOHHCmOhyqSBsoM4TvhJEUVFRQanTzT02EA+8b94DYM/aPSGfRzW+iiLanAdaGdtj\n7R5KeQ5erbT1pAQjuN1uqqqqjAkHAeYOS1QDZvVQUReeOy8iQQAUlxdTeLxQGCN9wfB5CAPYLDa2\n/GcLuASZRPXuisuLAx+kv25dKC9hTQK9L+9NSscUv66yKnwnXZfLRW1tLYqieC3G1OJQIwPna9xC\n/a8eez7Qhx8jIyOJi4tr1JBcY4Qny8rKmDVrFgUFBV5qD5ciwgaqDg31SowkiOLi4lrM6lBvGODc\naOLql1mdgFQigd959PkWta4KyKvK02jiegQy3iaTicjISG3cSe2TIEeMY595n2G+rNvV3aioqDA2\najq2mT65X6+6QV2RrrwpuCagHqEaM7mt7E3hV+9dGULj7t9AB5+DIuv2CXCfyUf0ZoqsCyVm13l3\ntfWPJ8GRQG+ruC8pt9QfYtUrVagF5Q0h/Bh5Zfr/RgsaX/LCuRo4dSF5IcOPweB2u/nkk0/4+OOP\nmTZtGvfee+8ln89qWX+hiwAq6aG2tpbIyEgvCaILDd8wnu/qsyHnqa2tpaamBpPJpHlM+vPo80rb\nirYh/8Z/MvclMNSH7NxsnnzlSW2S/PD1D7Vtk6ZPItfqXweV1ClJozY7nU5vA6WTM+p5uCdfzP1C\nm+hsNpt2b85JOsoHsil0Y+aFUkAtpQpSBKtpChptKwZ+a/D+v+u/fCikBz30ORu1RKIhz9e5PI8q\nAjEnG2rgTCaTZqia03sL9rn27NnDCy+8wJAhQ/j2229p1apVk1zrYkPYQIUA1ZMAsNvtREdHn3MY\n71zyR6GM7/9v78yjo6iyP/7tLZ1OJ0029p2QCCeCHANmHAkSlhEDRoE5AyLCqKMzB3Fm1DM4LIFk\nUOQH6CgScX4IwgFU9DcwnFYmsqghmFEZFtEgJGEXkCzdZOuE9FK/P8Irqrur0nt3JdzPOX0gqe7q\nm+6q9333vnvvExMmX2Fp16xeRWyWKZZe7rCJD87NFt8Eql5XL1qMC0hn+rnafEePO6CudL+sU3um\nwmAwAHAf4FK7pUJZoeS/F74GyrUjPKsbS/bhj7oOKP+pvJXW7Wqa66Xg+p5A28aADrRlMooh9VU3\nC85Vd+u9NM0aZFZmAvC+e73wcw7mmo0v+CoUQpuZlwdIC1wovTcpm2tra1FQUICqqiq8++67SE31\nbzeBzgoJVDu4tiACENbeeJ5ga0uBhPHYeYSFte3F5UXTy7+XOK9C3DNJ7ZaKE3tOuO9ZJXI1SnWQ\nSElOwZrFa9xsbq8bO8P1c3Ldl4qvgXJtKPsFboXbvgCUJoHw2NDWhSHe5TXJgL5ej4ZsL9P52XsK\nw3lq3Cqs/hjuAsndfL6rvTEQ9bgyKzO99pqEyQSerg25IIwABMvmYHhv7LozGo348MMPwXEcvv/+\ne4wdOxZZWVk4deoUCZQLJFAiCMN4whZEJpMp4qE8diMA4Fv0KBQKfqsKb8MUbIH7xo0bfEcLbwtr\nvUWlEPcw1y1fh4rfe9cSSKreyn7aDqVSGdYB07VItcJegWvZgixEidohlikpdr5GR6N7j0RAOpy3\nS+L3EkkWhj3ihbWeEA7yoUgmCAXCBAh/6q/aI9Awn1DEkpOTodPp0L17d0yePBlNTU24evWqLBKr\n5AYJ1E3YTJG1vImOjnbzllh4LhIi5RrGi42N9XsWx84HtCUssMQE11onr2PwjRAfIFva/hHzgk6U\nnwCuwvO2FxKUnSnDw3962GPtlJQHxgZpsWNVF6swGqPdX+OSROBUSNwO0epo3Fl+p9sAnzo6Ff88\n9E/Ul9TfSpQQbpUeIEqFEg/d8xBWL1oNwDk81dTUJPk922w2vl9eTEyMU22QXGEJEBzHyTIBQqFQ\noLq6GkuXLkVTUxPWrl2LgQMHRtos2SOvbzGCNDQ0wOFwhL0FUXswEQnm+lJraytUKpXT3+iLuIkm\nFEh0ecD/tZ1b1AsaDI+p1a7xfyF8LZKH2ilPzVvFjhnKDeh2s517ewLoVoBsqUDznmboNDqk9E/h\nJzNpmWkofLlQ9Bx7xu5p6xno2rRX6rORanJQA77Rq9KhRKwuFj0Se+B//+d/AXiXPWe32/nvl2VE\nNjU18T/7u+4SynvJtdBWLveuEKvVinfffRcfffQRCgoK8MADD8jORrlCAnWTuHT1mIYAABx4SURB\nVLi4oCcviOFNkoSrYLDX+bu+xLZSZ+FKf0IJzCbRMI/E4n20Lhr19fWw2cS3tI1rjsOw8mEAbg1i\nKV1TYLPZ+HUxT9u/hwKnQtx2BNBVuISL8hqNBlqt1mNYLCcrp82Lcu00L4Eh1iD6XIP+VihPTFSl\nrh8W6mVZbSwr1fU5kUoNl7rmhWtjkUra8ATHcfjqq6+Qn5+P3NxcHDx4EFqtNtJmdShIoG4Siuw6\nX3G92T3dpO2dR9ihm93AgawhMDvSuqdBUelszzf2b2AVmdrHaGNgMBgkwy3DBg+D8S2j04Bmt9v5\nWTv7W9qD7czry+AG3AwxAu6dH/zAVZi8Wa/xpmegL/iaLg44h8Wio6MlyyX8nRwBnsUNEC/mFksu\nYA92nSiVSkRFRUGpVLp1rAjE5mBw9epVLFmyBBzHYceOHejbt2/EbOnIkED5QKhEzHV9iSU9+HMe\nrwprA0As3CXV+Tt1QGq7761UKhEdHe20IK9Sqfi6K47jMKTnEKgr1eKtgW4i1rGAfU9SNU5uGYR+\n4I8wMTz2DFTDKWOPJWhURVfxhbVCvE0XB9o+E3+KbP0hUHFj/wqvbQD8hp7MA/RW3AL13DzR2tqK\n9evXw2g04uWXX0Z2drbsPLuOBAlUhAjm+pJwgJcqrJUrLS0tTkXPwvCjQqHg124e+P0DoutFSqVS\ntC2PMAkkEOx2u1OnCvaZ/rngz6isruQnE+z31y5cQ/f+3d3O43Mj3Cw4ZewNr/TdQ3Il0CLbcMNs\nY3Y7HA7odDqvrm1XcfM3ocjTw26349tvv0V8fDwqKyuxdu1azJw5E8XFxXzdFeE/JFA3CeeNyuLn\n7H2FKeK+4E1hbTiQ2s+JzerFjjscDvx84Wc89NxDbn+72GDu6T1cYecTvs7JC2MfE2uYCtyqYaoB\nn6RQ1lyGaS9MAwAMShqENYvXwG6340zNGXw95Gu39407HYeKwe6ZgY5yh1P3AidPXFicK2ze6kWr\nIm+QQ5GtPwjt1mq1vNfkDYEkaPgibnV1dVi2bBlqa2tx7do12O12LFy4EKtWrcK+ffswfLi7t0t4\nDwlUmBBmSqnVar7xqj/hCBbu8KawNhx48gzYcdeC4Ef+/IjX26OvW75ONGW8osp5f6b2bJPywoQF\nuIZmA6AH6m92Cq9HPb7CVwAAx2mHU+q1GJ4GRDawSbVkcqql+sL5daxg3NtsOWEigRyuE29xtTvc\nguqtuLW0tGDbtm3QaDTYvHkzRo8eDYVCgRs3bsBsNiMxMTEc5nZqSKB8wJ81KNf1JaVSKdpny580\nYIVCAavVCqvV6rW4uXpr4bjxhcIUFRXl90DpKWU8IG6KBFvfEVtTU6lU0Ol0mJ83vy3JwocEC7be\nJjyXr/gSkmLXjFKphEajaTeRQC7eFJt4haLQNphwHId9+/bh1VdfxeOPP47i4mKnyIVWq0WPHj0i\naGHngQQqBAgX6L1NE5c6zm5aFhJ03WPKm3CEsCVSOBeRWacKtnNtsDtV+IrHcJ+X7CnZg/rWwJIs\nhLZUnK9Ac2tbJp+13grNnra1Cx2nQ2rlzTBpj1TRzvAMJkispICtRQrFKtD1llCKG8soBCDLQlvG\nuXPnsGjRIiQnJ8NoNKJbt26RNqlTI8+roIPiOhAAgRXWssGGzdzFKvoDjbWHYhGZZVYB4OuBhN5n\npETKm3CfsPZMjPl581HdUg0EGCkLdOdgIcJJDPPQfRngQ3UdePPoCIW2AGCxWPD3v/8dJSUlWLVq\nFTIzM2VpZ2eDBCoIuIbxAplduhbWhjLM4a+NYl6bw+HgW+RwHMeLqcPhQHNzs9OABrSFvKRSwNmA\nG8owlGvSBRuEU7qm4JzpnOTrKqoq2rYWKYFbp3OlQ4keCT0CTgP3FjYRYMkXLMPNV4J5Hfgqbuz9\nlUolv64aTs/NEw6HA59++inWrFmDp59+Gn/7299kGXbsrJBA+YjwxpISJn/OGezC2lAi9NqEs3fh\nICn1OQgHqLTuaVBWKPnfMwYlD+JruYQPqY4UbBbuy4C2bvk6yc4P8/PmS2YM8kkaIp3OY5tjvd6l\nOFC8LbINJf547xzXVhLBdrQVeteh9tzY/eStvRUVFVi4cCH69++PoqIiJCUl+fgJEYFCAuUDwnh+\nMNoQscE9lIW1oYINNKy41tvZu/Cz8mZrDCGsaNc1BJfSNQVAYEkEKpUKdrsdDocDb+a/6WSn8Pt4\n4PcP+GRzsAlnkW0wcfX2/G25xc7F/pUSM6lrgcEES3hNmM1mbN++HXq9HqWlpTh79iz+8pe/4Je/\n/CW/l1i4aG1txbx587B//36YzWakpKRgxYoVmDRpEgDgwIEDmD9/Pi5duoTMzEy899576NevX1ht\nDAckUF7CLnA242YXuKuX481gIRzcO1phrXBtTKy4NpRINVz1BBuYhNmErGMFO+5tN4L2dt/VaXSw\n2+0hCUMJbe8IRbZCmKiyZsyBXuuhWndtbW1FeXk5fvrpJ1gsFiQkJGD16tUwm8345JNPMGzYML9t\n9hWbzYZ+/fqhpKQEffv2xaefforf/OY3+OGHH6DX6zF9+nRs2rQJU6ZMwZIlSzBjxgz85z//CZt9\n4YIEygNCjykqKoqfZfsTdgDAN0JVqVRON6vcBxvXomC5pgCLIZxYsLoab8Onrt+x1OviLHGY+IuJ\nsFgsXl0P7e3fxV4HdNwiW8C9c4UvhbahQupeO3nyJBYtWoShQ4eisLAQ8fGuO0+Gl5iYGCxdupT/\nefLkyRg4cCCOHDmCmpoa3HnnnZg2ra2APD8/H8nJySgvL0daWlqkTA4JJFA3EV60bHBxXV+KipLa\nc/vW68QedrsdVquVDymxgZ2tIbDz+/sIJb7stis3AumVx3D9jMWa5QJAapZz9wupBAJhoa6ncCR7\nvUKhgEql4oVWDskD7cHsjFShrS/U19dj5cqVKCsrw2uvvSbbzg/Xrl1DRUUF0tPT8fbbb+Ouu+7i\nj8XExGDw4MEoKysjgerMuA4igG/rS8LnsrBRa2srv2Ot1AyyvbCDr4vF3uys683fFKzi2kgQDGGS\nwtv0cH/DUBzHOfUnZJOiUCQPBLtom62psgQIOV8zDocDH330EdavX4/nn38er7/+umxttdlsmD17\nNn77298iLS0NjY2NbvVXBoMBDQ0NEbIwdJBA3aSoqAgtLS1ITExEQkICEhMTER8fz89cvb152U3K\nCmu1Wq3HhexAkizYv74sFLc3kAHgw5gajQY6nY6/cV1n93IjlMIUaoTrkmxw9zWEKuW1uXrzgQqb\n2KOjFNpyHIcffvgBCxcuREZGBg4cOBD2BAhf4DgOs2fPhlarxVtvvQWgbTft+nrnQvG6ujrExcVF\nwsSQIs+rKAI0NjaivLwcZrMZJpMJZrMZ169f50N8HMdBp9PxAhYfH+8kZkqlEsXFxRg5ciQmTpyI\n6OhoqFSqkA6QrjNfbwc0MWFjNUzsPMKQUqADma/pvb7S0YXJtcjW37W9QDyhQL149r5KpZIP78kh\nRC3EbDbjlVdewblz51BYWIihQ4eG7b395amnnkJNTQ327NnDXxfp6enYsmUL/5ympiacOXMG6enp\nkTIzZCiEF5gIkd3BTyawz8hisaC2thYmkwkmkwk1NTUwmUzYtm0bjhw5goyMDPTr1w9XrlxxyvaK\niorixUzonQkFjv2fzTzDceP64+15GsikBjb2NwVznc2fHWzlAgsBs7RrljDTURCGIqOiokRDkZ6E\nDgjPVvJ2ux3bt2/Hxo0bsWDBAkyfPj3s10lhYSE2b96M77//HrNmzcKmTZsAABcuXMDAgQMRGxvL\nR2peeuklLF68GH/4wx9w4sQJ7N+/32lLmZqaGqSmpmLTpk3IyclBXl4eDh06hNLS0rD+TUFG9Msk\ngQoCu3fvRmZmpluDSPbZNjc3w2Qy8eImFDn2s9lshtlsdipG1Wg0kh6bUOwSEhL4AcKbm1YoTAqF\nIixp7r4KmyevjSWwqFQqvhlqJGfnviCHIlt/EYYiA50UBPuaED6KiorQ1NQEi8WCzZs34xe/+AX+\n+te/ok+fPhHJPv3Xv/4FpVKJzz77DM3NzU4CNWjQIL6DBuPixYsYMGAAH4lhf+8//vEPPProo/j8\n88/x7LPP4uLFi8jMzMTmzZs7eh0UCVRHgX0nLS0tTiImJm4sJMnCcwCgVqt5AROKmE6nw9GjR6FU\nKvHiiy9Cp9PxDUjlOkAKw5GsDRSrY2I3rr+DWHuiForPo6MW2QLOHh/rzB7JMgNPAvbaa6+htLQU\nly9fRnR0NCwWC0wmE8aOHYudO3dGzO68vDxcvnzZzYOyWq0dpmwjRIjeCB0npnAbwQYtnU6H3r17\no3fv3l69jg3Kra2tbmHIf//733j//fdxxx13ICMjAy+88AJMJhO/hTbQtvYk9NRcRU7owbGtI0I9\nwDJvydc6Jk8JA2zdLVgJA+2ts3XkIlugzX7WT5EJa6SR8pBtNhu2bNmCffv2YfHixcjNzXV6nocJ\neURQKBQYMGAAFAoFJkyYgNWrV1NbpZuQB3WbUFZWBo1GI1onwa4Bq9Xq5rGJ/Ww2m/mMLaCt8Wt8\nfHy7osZ+ZrF0bwboSK0xBWudjZ2LhSLVarXHAl05IcdCWyk4jsPhw4eRl5eHCRMmYMGCBe1uTxIp\nXD2opqYmnD59GiNGjEBtbS3mzZuHhoYGFBUVRdjSsEMhPiK4sGvHZrPh+vXrqK2t5dfTmOfmGo60\nWCz86xUKBbp06eK2rsZxHL7++muMHDkS06dPh06ng16vl+1AzhAKlrClEkt+8HZNxZdatlB8Hhx3\nq9A2KiqKb+gqV6qqqrBs2TI0NjZizZo1GDhwYKRNksRVoFy5du0aevbsiYaGBtGNTTsxFOIjggsb\ntDQaDbp27YquXbt69To2INvtdtTV1aG2thY1NTUwm83YunUrjEYjRo8ejbNnz2LhwoUwm81oampy\nel+DweDmsSUkJCApKcnJY4uNjQ2rsAm3SvG2pZIwHCmWzh1IYa4v62wseaYjFNoCbR7/xo0bsWPH\nDuTn52PSpEmyFlJvYWFtggSKiABsEFGr1UhKSkJSUhIfeuzZsyfefPNNdO/e3e11QmGrr6938tjY\n/8+ePevksblW18fFxYkmkAg9uKSkJKf2PJ4GPWFmmz99CoXv44sgBHOdDQDf6FatVkOlUrntzRTq\nejZv4TgOX331FfLz85Gbm4uDBw/yjX/lCmt3Zrfb+Z2m1Wo1jhw5gvj4eKSmpsJkMuFPf/oTsrOz\nO2XRrT9QiI/o9LBr3OFwoKGhgRczsbU29hBW6nMch9jYWH5Nja23denSBZWVlTh16hTeeOMNaDQa\nGAwG2Qzk7cGEirXjstvtfLq+8LirBwdEtm/k1atXsWTJEjgcDqxevToiqdVSNU2A9DYYBQUFKCgo\ncPoMli1bhrS0NCxatAjV1dUwGAyYOHEiVq1adTtuJU9rUAThK2xgFgqb2WzGqVOnsHLlSmi1Wjz4\n4INobGyE2WxGXV2dU6ZYTEyMU3G2VPJIfHx8WIVNmIDiSwJEsGqXvF1nY70gW1tbsX79ehiNRixf\nvhzjxo2L2ARAqqaptrYWKSkpTttglJSUdMptMEIACRRBBAur1Yr9+/dLrnuwQbmpqUm0+4hr8kh7\nbbXa6z7C+kUCvu9FFu7MSPZve2tqro/MzExUV1dDo9FAr9cjLS0NSUlJGDduHJ599tmQ290ergkP\nGzZswJYtW3Do0CEAbZ1nkpOTcfz48U7XZTwEUJIEQQQLjUaDBx98UPI48wDi4uIQFxeHAQMGeHVe\nNpCztlquocjTp0+7dR8RLqhrtVq37iPs38rKSvz4449YsWIF9Hq9x+1jgok/62w//fQTMjIyEBsb\ni+eeew4ajYYX9OTk5FCa6xdlZWW3zTYY4YIEiiBkBBvI9Xo99Hq912ssQmFzrV87f/48Vq5ciebm\nZuTk5OCPf/yjx7ZaSUlJbkXbzGtjhbqhCrG1tLTgrbfewt69e/Hqq68iKytL1ut5jNtpG4xwQQJF\nEJ0AV2Hr27cvf8xms6FXr16YMWOGW3YhEzbXtlrMYzt37hyOHDniJHpCYWNttcS6jwjT/hMTEz32\ni+Q4Dvv27cOKFSswZ84cFBcXd6gGurfTNhjhouN8+wRB+IVarcasWbNEjwWjrZZYRuSlS5dw/Phx\np36Rrm21hEKmVqtRWlqKtLQ0fPLJJx0yiy3Y22CwHbg5zvv96DobJFAEQfgMGzC1Wi169eqFXr16\nefU6obAx4aqtrcXFixcxbNgwPPbYY7IfjKVqmqZOnYoFCxZg165dyMnJQUFBAUaMGOHz+hMTJKVS\nCbvdfns3kfWQRUMIWLduHTdy5EhOq9VyTzzxhNvx/fv3c0OGDOH0ej03btw47sKFCxGwkiCIUJKf\nn88pFApOqVTyj4KCAo7jOO7AgQPckCFDuJiYGC47OzugMWD37t3c7373O+6ll17ijh8/Hizz5Yqo\nBlGauQ9I1T8AVANBEJ2BsWPH4ptvvoFGowHHcejTpw9+/PHHkL5nVVUVtm7dij59+uDhhx+GRqOB\n0WhEdXU1MjIy8Mwzz6Bv375YtmwZRowYEVJbIoio2yzfRlsy5JFHHkFubi4SExPdju3cuRN33nkn\npk2bhqioKOTn5+O7775DeXl5BCwlCMIfFAoF3n77bdTX16OhoSHk4lRZWYkdO3agtLQUzz//PJqa\nmvhNOLOzs3H33Xdj9erVMJlMuHLlSkhtkSMkUEGivRqISDJ27FjodDoYDAbExcVh6NChEbWHIOSO\nh6hSUDhw4ADy8vLwzjvvoEePHtiwYQO2b9+OpKQkWK1WnD59Gr/+9a8BANnZ2bDb7bh69WrI7ZIb\nJFBBorGxEV26dHH6nRxqIMI9IySIjs7ChQvRrVs3ZGVlobi4OOjn//jjj1FeXo4pU6Zg7969+Pzz\nz5GYmIgxY8YAaKtJmz59Ot58801+37V7770XY8aM4dtT3S6QQN0kOzsbSqWS30pc+GAXTnvIuQYi\nHDNCgugMrFq1CmfPnsXly5fx9NNP46GHHsK5c+eC+h4qlQqzZ89GZmYm5s6di2PHjqGmpgYqlQoN\nDQ04dOgQ+vfvj/vvv5/fubqlpQVJSUkwm83Ys2dPUO2RMyRQN/niiy/gcDhgt9vdHgcPHvT4+vT0\ndBw/fpz/OdAaiGAS6hkhQXQWRo0aBb1eD41Ggzlz5uC+++4LqiA0NDTg2LFj/M/9+/eHWq3mIxta\nrRaHDx922v/s2rVr6N27NxITE3HhwgUcPnzYaePPzgwJlA/Y7Xa0tLQ41T/Y7XYAwNSpU1FWVoZd\nu3bhxo0bftdABJtwzAj9xWw2Y+rUqYiNjcXAgQPxwQcfRNokgnBCoVAELQLBcRzi4uKQm5vL/+5X\nv/oVzp8/j4qKCgDAlStX0K9fP6fddLVaLdLT0/HMM8/g3nvvRUxMDGJiYoJik+yRyj/nqA7Kjfbq\nHzguuDUQ3jB27Fg3e9gjKytL9DWTJk3i1q1bF1K7vGXmzJnczJkzOYvFwh06dIjr0qULd/LkyUib\nRdymXL9+nfvss8+4lpYWzmazcdu2beNiY2O5ioqKkLyf1WrlOI7jZs2axQ0fPpwrLy/n3njjDc5o\nNHIcx3EOh4PjOI4rKiriFAoFl5WVxZ05cyYktsgAqoMigJycHOTk5GD+/PkRtcNisSAhIQEnT55E\nSkoKAGDu3Lno3bs3VqxYEVHbiM6B2WzGk08+iX379qFr165YsWIFHn30Ucnn19TUICcnB6dPn4ZK\npcKQIUPw8ssvY9y4cSGxr6ioCBMmTMCmTZvw3//+F927d0d2drbb+50/fx6XLl1CVlYWgLZIDttP\nqxNB223cbtTV1eGbb77B/fffD7VajQ8//BAlJSVYu3ZtpE1DeXk5NBoNL04AcNddd8l2jSwSBZxE\nYMybNw/R0dGorq7G0aNHMXnyZIwYMUKy1CI5ORnffvttWGy7cOECZs2ahYkTJ2LChAlYunQp+vTp\nwx/nBP33BgwYwG/Xcru1PiKB6sRYrVYsWbLEaUa4e/duDB48ONKmobGxEQaDwel3ckjLl4Kl6z/x\nxBORNoXwAovFgp07d+LkyZPQ6XS477778PDDD2Pr1q2y8NANBgNef/111NfXIzc3F927dwdwS5ik\nvKPbSZwAEqhOTThnhL4i57R8KTyEwwkZIXcPPSEhAXPmzHHbvLGThe0ChrL4iIiQlpYGm82GM2fO\n8L/77rvvZJGWL4Uc0/ULCwsxatQoREdH48knn3Q6duDAAQwdOhSxsbEYP348Ll68GCErw09H8NCZ\nOAl3RCacIYEiIkJMTAymTZuGpUuXwmKx4NChQzAajXj88ccjbZoock3X7927N/Ly8vDUU085/b62\nthbTp0/HK6+8ApPJhIyMDMyYMSNCVoafjuShu3pRxC3okyEiRmFhISwWC7p164bZs2fjnXfekW2v\nwFAXcPqLVAPj2715cUf00Al3aA2KiBgJCQnYtWtXpM3wi2AWcIaC9poXR7p4PBwIPfQNGzbg6NGj\nMBqNKC0tjbRphA+QB0VEDDkP8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izpzJtmB6UATMYcrKfuThh1+wacqLFm0iLKwx3buLpxkTU8LGje8wdmwRhw9/\nQXq6OJa7Cp0C13YoPa3j669DWLOmL2vX9sNiCScw8JhDAkBsbB47doQ7aTP/+c9qm+aUnb3VpvEE\nBvYjLKwfcC8DBlQyapRgYps3D8rKCpxs1uKeeWRlYatr1rOnsxas9P2BB9zbofXs7XqaoLfHfgXq\n086iRZvw9w8hIcGKLJ8nNXWBW5OKLMtIUiCLFm3i9tu789hjM1m8OMOt6Umtsboai/Z60SdxXdeu\nYn15OwfeRF6o16ZWS16zpi9HjgQSG1vmdX/UPpFPPnmEceP+w9///hnFxY1p1WoPTz75JwICsvji\ni95e2Zd1UQn0F/8K7y100phvBHwacDVk2V7MT7ENNm4Mly/LhISUOSQK6AlWRUMdNszKsmXTGDbs\nCY80Jm1kgd49lPpYCs/t6NGVDqQ23btXcuhQY4fkBHWMalTUHg4caMWKFY615hSinSVLzhMTcxBJ\nsjJihB+HD7dj8eI0h+t27ZLp0iUHSbLa+hUbm+ekybnT1rQVNNRsVrIsu+VsqC3OgshIC0ePWm0m\nleTkBIYOfcJJC1Zze+zf/x5+fkEuY7iN7OdmYsQjIy3k5dlNQ+pN1tM5qOkpDPTjt/Xinj3pz9y5\nFXz8cQg9emxiwgRJUwr+V/j5rXbZztiXx2I5aIFjmi/qA3eaGtZNAZ8AroZSzK9rV3tZeCVUaNky\nxyOyo2C1l+4RNJKQkXGE9PRUt8c7tQ1Ye1x1JbyVl1XRRM2mc1qtpTYtT20yUJOwK1SLegxlSumc\n/PzmJCWJMRcUhBAR0YWqqq1O9xTzp//CWyzb2LUrnG7dhDCPjvbju+/CuXZtC3l539mOy0bZZEbH\nfnchcto5iYsrY9Mm6N/f2KSi/GbsWLu5Z9WqL5HlV03dw11mnJZwKS6ujG++CWHNmu5IkmQr4vr9\n9yG0bdve7Ryo4W0Ciyv/hLI2LZbzFBQcpEWLe2nSxFwFb6U/Fy+2JCtrGitXio55Wgo+tyCXwiGF\nzl9scv5IF+1MXlfH8AngaqgZuxQtEOyOKeWIPHToCAfBqs7mUhAfL9u0YDNahp6NzpXwVnhu9+8/\nQmBgMaKSjExAQAht2txjmM7pSssz+6JOn/42o0eP4KGHKomJgUWLShk0aIKNy9dVO+rS7tOnv60j\n8BvTpUsvgoPfd5lN5grubM96/evTx76JKXXs1POj/EatiUZF7TG0GRvNgdFY0tJSCAp6X/e0U1O7\np7tTmDcCWBTlAAAgAElEQVQx3eoNe9o0K6tWmavgLcsyqalv0rLlE8yatYiioqb4+18lOTmYsWMl\nTN7eJUKvhdpSjiNaRJBzIIfSL0sBKC4ppoqqmt+kFuETwNVQBJ5CC7lixTmKiw8QGiqEV1CQvkDS\nFnUEcX1g4DG3WoaWL9esdmI23Efdt5ISmd699U0GyrVmzCXp6SlcvPgFVquVzEzw96902GwcU0gv\nc+edYSrN3UpW1kLWr++GLGMYWTJhgnfHZVfOJr1xnjhxmKKii4SElNKihZpbNs/pFPH00yUO5p5D\nh/RPE57MpTfXeyow3a2VtLQUPv/8bTp37uZAiO+OK8Ebx+jKlev57rtZHDw4GIAHHljPQw9N4s47\n5yFqNNQc0fdG2xxqWsda/Kh4NrNZ/JHHTaEF39KZcK4wZswwTpz4ipYt76VpU8dSN9pF7S21X0ZG\nBv369auz7ChFS3n66Z024WHmHkYvuSzLPPFEJBMmHGLpUjh/XpQVMioppH6J1b9NTu5A165DOXvW\nkQ5SiSzp0aPS9pknGVZmM7rUcPfslDarquzxw7Isika+9poojZOamlMrz8qd6eT116fxq1/F8Mkn\nY0zXW3N3z2HDIggOPkxJSXvS03Nt93YlgN1l9GnHIsvCvDBx4jXKyhoQGFhE377J3HvvN4BnFJgK\n4kfFs7ndZqfP++X1I6JFhK5jLf9YPi3DWwJwOf8yYS3DgOsTBeGjo/QAwit9gYQEqynGLW+JcZTq\nt7XtZFKgPjq7sxVrHYB79y5zCKlT2ouNzUOJgz161LikkBIH3K9fv+o2U+jW7QgAZWWHiI7uxfDh\njsdxb6puqK/zxtlklhRGbe65fLmcoUNLDU8TZqGedzOmk717l7FtWwsmT/aeyEd9z7S0FGT5COPH\nw/z5wm+hPEOz2i84ryf1WDp2fII//hE2bgRowGOPwbJlIbRqlQAkOLU99uWxusLTEyGpxAdr0Y8b\nxwdsBJ8A1oEeQc/u3XXD31qX1Q/0hIeRrVh5YZSaaOPGFTFz5he2l9Iu4IR22quXKMsjy/oOO22b\nwrQgzBZBQbBgwUSGDfuNw3zWhOGtLio86PVJ0f569twJiMgTb4WhtrqHkelEbVqZP18kEHg7Nvtz\n6cayZdOoX1+cMD3xW7has8r6+dOfipk+/Rh798qUlEg0awZLlsBvf2tXBPRgJDy19JKuKCfXZaxz\njo4AckpzXI7rRsAngDXQ06QWLJhG48YFtc7fmpGRUSOh4w5m2lZ7+F95ZQJWa5VNkKlD6vQEnJLO\nGxenH32hxAFbrVU27TczE8aPh6SkfNLTUxg+/H9qZay1vZHpmQTUCQS7dztnw5nR0pU2wc4NvWDB\nNAYM+MmwLT0Oi9hYz8PJ1II8OXkaly8foXVr+zNUoneGD/+NSxOEuzL3t99eyosvbmbvXpGcoZSC\nb97c8GfGqE6eUCdOgBC0RtpsWPcwEe+rgeKMg5uHD9iXiKGBEUGPHmFIbVFDegujtj25p9pM0aLF\nGd588wUHvgRZFi+lmjxn5kx/5s2DDRvgs8+cyVi0J4h33kkiM9PKpEl2odW3LyxfnlTjsSrQI85x\nlSThbn70UnfVCQRbtnT2iBZTEd5Km0Z8HNqkBm3yhjccFur+K8+la9cjBAaKzVBpTzEluRqD0byN\nfXksfUf2Z/zEbBYu/I69e/vQtOkZOt0/ik8/lb0TvmBLnigcUqibbvxzh08Aa6BH0NOnj+SgnYB5\nYhRX19V0BzZq22zflJe7SxfBCzFhAgQF5du+VzSuGTP+RELCWzbynEce8WfaNBgwQMRtqslY1AJD\nVA0uobLyDBBJSAgOad6VlT95lD1VEzIeT9pylcWmkCqlpGS7FfRqpKWlcOTIOqdMNz0+Du06c+aw\n8HNL5GM0JkWQ+/vLDBzo2F5BQW/uuacDoL82Xc1b9sFytn6VxIm8uZSXBzF48Eo++qgTTz25yvQz\nsyVXmIDloEWXgMcsbgbtF25RAexqJ9emrIaGhthiVdXkNt6SyNREI9ZL0R07tojXX5+A1Wo1vKcR\n9Jx0ffrA9OmwcqX4t3MnBAZeJjHxZcC+Qa1Z01eXjEVPYDz0UCEXLxbyyCOOjsCBA694xEJWEzIe\ns20JTXUEHTvucRCGNSFSl2WZ5csTGD7cast0Cwy0IEnCkblvHyQnS6xY0dFJo9Yjyyko6E109CBT\ngl+BXky4fTO0uiQGcjVvFRWQmAg/pL2PfP4B/BucpF33IeQ3eI5XP7zEt/8NMb1J5BbkUthAJ7lC\nB4UNjDXioAB9hvaggCC3DGrXG7ekDdhs+RVXFRHMxECmp6fQocMuh+vUabbqsvSe9ludDdeixRkS\nE1/m1VcXeBSfabFso6Aghv37LbZ6Zj17QlqaP40bC7btkyezSUoqIilpNbI83/aCqtNR1WQsenHA\nJ0+eJSzsIPv2wc6dEsHBUTRt2tyrbC5v7K2OCSfOz8Qozhns0RSyLPPMM3Yzwfz5r5i2vyrRBgp/\nhjrTLTBQIjAQQkPt4VhK32VZrjUfgbbEjzbZSJssI0kNHN4RPeKk1q2f4LnnhDMW/CHmHSoGTiGv\nQZHtvqFfgnQ4m/+MiifnaA6UQWRUpEPfHCIc6uOYzXYZjxF5dyT55Ot+bnPyaeOAdRx61wO3nAA2\nE6yvwMixY7GsZtYs1+FOsixXe/4rHK6TZZlx44r4+OP5+PndYwvTUn5jFAuq7vfHH89HkiRbcsCE\nCTBr1nKmT0/yKBRLiXMND3fM63/iCX+ioiYiy7JNyCraqruKtWqB4RjnLFdrX7Kp0D5lLqZNe92r\n8DK9TdbomagLqn744XQmTbKybJn9VKDlZpAkCA8/anojWL48wcnM4CrTzdP6bGagfi5KspFeuJ+i\nIOTlhZCUJN6Rhx9+jOTkiTz4oCBOqqioYvr0Qvbtk6mslAgPh8YRf2FPT+fNQtFUASHwNkF+O41w\nVAs/Lama2dRiFVxFSNxstuNbTgB7ok3paR9miUiUuFf1deoX2d/fwsWLxnSEeuQ1Sr/9/S20by85\nmA4GD77KmDGPc//9noViGUcPOPITqIWV2ZCvmsQ5q8lvPP290Sar90y08av2OGc/li69l9atm3P8\n+GGKi2Ht2va2e/j7y2Rnm9PeAwOPsW8ffPst3HEHnDwJd9wRbpjpZlZB8AYiVDBQN3VYCbHThruN\nHv0YffqcISsL+vePZdq0D7ly5T4kSWbiRJg7F4b/eZe5DhTiJFQt1yzGJoD6EPplKNH3RotrD1qE\nmaKmkqud+0uuB24pAWykuQ0Z8jjz5iWYivPVE1hWq5VPPvkzQ4Y8jp+fMKuvXbuSS5dkcnOhqEgc\nu8+dO8lddxUhy3DxYjnjx2NYsl794mn7LUnlbNjQiMrKAJvpoHt3SEvbQEiII2+xu2O+0RFXj59A\nEVaehHx5Ex6mFkIzZ64mOtqz3xuXknd+JgqJjBK/qsQ5i9hmc2XvXcFi2UabNj05ffo8/fsfpGdP\nK9u2CaY5vbn31NziaWqy2U1eHe6WkvIVp083oKxsFhMm/BWrtR6BDQ5xZ8QUShs0p1Gj98g/lk/o\nwVBbW8UlxVQ1rXKWMDJOIWKFFJKbZ6CZ9oHovGhbyJlRBpzilFO03M3tNjvw/yrXAHAKZ037BuGW\nEsCubLoKYbk7jUbvpZk166+0bbvFZoeVZRmr9TzNm8s89RSAzIIF5QwcWEVMDHz/vQgn2r1baMV6\nJeuN6B0Bfvc7+Mc/7ITYylgefxyiol6olWOrK8Fp1i7paZyzOt1WGe8jjxR5RErjapOV5QtMmOBo\nClGXlvdE0zYbR2qWac5V311pwZ6YK1xp19p7BwSIqsOxsdC58wOsWvUhpaUR+PlV8eST87Gcn0lO\n72vceawfAC3DW5LTTpXosAndWFwjWA5aCAoIchDiQbJwpuUE5thigHMO5BB6MJSSkhIqmlbYri0s\nLmTzsc12IdsOO/+vcg2F9r7dJFwQt5QAtgsVyMnZh9V6idtvD+fEidXMmuXdkc9qtbJp07vMnCns\nsDNmvMH69WsICLBw8aI9yF0U8ozg+PFm7NuXzYwZorBjXFyZrpNH3Rc9YXj06GHOnoXTp+3H4trK\noIOaZaV5C4UYZuvWtkyZoj8X7jQ+M45T9ef6FKMCevOp3L9nz8Gmx2XWZONpNp9Zc4XS586dY5w2\necXppv5OuXdUVAi//30S+fn/C/gRHv4jU6aMJioqk807YN5BoJasI4UNCinsr4qA2AJUVw0q9Csk\n/1i13TgE6CPMEg7XVwv8Qgrd2o1Dr4USnh9OGGG2zxQGteuNW0oAK0Jl3bp/k539FLNmWUlOruCR\nR6545GFXQ11FY/DgqyQmvowkVXD4cCAzZpSTmBjCqVNdaNMGbr+9K9HRvWw25Ghh1tJ18qj7cj2F\noadHWldQE/G4a1NxVrVtW8FPPx2xfS4EgZ360Z3GZyRI8/I20K6dsYD1JJxr795lREfHmrreVZ+0\nwt2bkkfmonFEFesffmjlwDSXlDSBqqoq9u5dxtGjfWnY0H7vkye78O23f6G4uA2SVMl9982lc+dE\nvv6mnPf/H1gbQMMqoJnBoKujGUKv2e23OUdzuFB6gQoqDH6kQiU14/t1geh7o28aTohbSgCDc0xm\nTMwRh5Cjjz+ej8WSaUoAqbVfEHbYWbOW89e/fmjjtNV6uxUuX/VLpufkqU1tVmnPjGCtCw+8mTbV\nxDBJSbBkSRR33nk7IFjSZDndVnTUlcZXl5uVtw4ys32aPv1t05ufWXOFPQGjmKoqRwdk375nSEqa\nyNy5RaxadZ7Fi3dw5YrElCmwdq24rlmzQzz00BucuZTC3qJykOGkP1zsWn2DPE11irNAQPV3ElBd\nPl5JHXaghPTh1hPA2pjMnj0dQ478/S1kZ+81JYD0asgNHnyVN998gdde038xtGFa1ysjx4wQrG0P\nvBKG5q5NbajWgw/C5s0VLFok1B0RxlbhUHS0thjjPIFa4wwMtOjevyYnCE82P7PE98p1hw7B8eNW\nNm2SaNlSOIRbtCiirKwAgLvvySQi9n85eWAOZSW3I0kbmDNnAFOmdMDf/wPiRx1mtx5JDprqFBrb\nbyGFQuBWh4XphYhZDloobGQuAcMUlFjis/pf5xzNuWm4IG4pAWwUk6mEHN1xRzOOHBH2WTMCKCtr\nI1ZrY7ZutV9TVlZOWFiBx2FXrvo8d+5UJEny2ixgVrDWRvVhb9p0TlSwE8OAnbhde1qpizAtI2g1\nzogIxzqB6vF6c4LwdPNzV7JKYTxT+ty1KyxdCuPHyyQnl/PQQ5V06yYyHTdvbsKOHQs5/MOzoqE7\nvqdD+AKmTx9ga1tPcOYczSGnLIdSqdTOPnYZYb81iDLQo5Q0imxwhaCAIKLzou3zcc1id7Ip9/4M\nfZNFmUe3qlPcUgJYHZO5f7/4rKhIokGDSEpLgxk48M/cddco0wJo3bpsp88Ugm8znLbqHdg4cyuV\nTZv+RpMmktdmATNC0NWRFvBKq7MnYbg+Jq9Zs7Kab0Okt0qSIIZJSfkIP78Ltt9rTyvXSwtWiHTU\nZdS7dIGqKsf7a4WoJ+GNtVUVRR3Lqz4xKJE3kgRduhymeh+jvPxR3nhjOdeutaJ+/VLkzq9QNXQR\nrU70dmjXI8HpoZ02okUEOeurBXk1jMoHhV4LJTovmogejvzAY18e6xTKZmlscXTUVSMyL/Km0H7h\nFhPASkym+mVo3FimqKgRISFbWL48gcmTva8eC97bILX8uUoWWGrqApo0ucbzz8Mrr0xwiDU2A7O2\nQldHWnX6tCfCzqxX/557Iti//xgZGaLAo5KmLEnOZYvUCRK1bSd3NY6cnPVUVHTgxAk7rZf2/loh\naja80ZvwM1d9VfoQG5vHjh2iz0rkDUDv3rBwYTO++iqZTZueAiCo8Rbu6jaGs0GHuFjPo1vWGO+9\n8Z6zMN+CkxMPIKKfXfC6I2//OdibbykBbERNqM3+AWNh4c7GZ7Va+fWve7Ju3Xa3glKxQ2k1J6vV\nassCCwiwEBeHE+eD2f6YFYJGR9rSUscqxZ4IhbVr/+ngWVfa1ApNpUCnUuBRSX5ITHyR48eLnX4f\nHe15CRt3MJpHNQuaum9aG6KeEJ016x1effUqq1e7j+X1JltQ22dtH7p3r+TQocYMGmQ/2ckybNr0\nWzZsWEJJSXP8/Ipp1WkqJW2WcTDOTkx0Od8LEgbbj7FrwfXxLulB+c2Xjh/nFuQy9uWxvPfGeyLh\n4tRmh2QLqE64eNl18794G7AkSeOBUcD9wD9kWR5d/fldCGtSMcJPKgNvyLI8t6764grqxd+7t8TS\npVG0bm2vAedclNK1jW/OnMnUr7/TSVCa7UPHjnurNfEiXnttOc2bl/PkkzhwPsyY8YZNuHsblqUd\nl6uMOHWVYk+O/CNH/tnUIlePv0OHXbZCl2piGi0x+ty5U2u1QokRd8To0SPo1GmP2/HrCdHBg6+S\nlVWTdHDX2r22z0aCfO3av9OwYTcOHLiNTZte5OhRId3q37aBynv+yOmhx7yYMRcIw+aIC/2y2mTg\nZZxt4RWRYKHG9l3bWZexTpgsrgGPa37jKrPuJkOdFeWUJOkxwAoMBoI0AvgoUF92c/O6LsqpaL9m\nC2Kqr9crQjh16lwGDAhl5syrzJrVkI0br7jVgvX6MH++xJQpMqtXQ/v2UK/6SBgXBzt2QEXFS7aM\nO73+3Kj5qa17qAtdpqWlsHr1aIcilHqf1VYf1ONLS/s377//FL16WW3FOI3G71jcUyYnJ5sWLYoI\nChIVIepy3pS25879i26B0ebNu9K27UImTYLLl6Ge/1WqHp4EXT+Ardg1yPOAP4QGhvLbfr91W4PN\npQ24WgD3yzNXh82wrX8DekVTlHsYZNyFfhlKkBxksysHBQQRebdgYVM2g5rWnvME170opyzL/6/6\nxrFAa21/EFzEzlb26whPj35GjhJFExk9ep9TUoY7LVivD0oefv368NVXEpWVEomJwmvSvTs2akhP\nHDfehEfVVZ01d/eIiTnC+vWpDB36BKmpCwgNLSIlZb5bzgyz0M6F3jwqdey0zGhG41efINLSUmjb\n9lliYuzf1+W8KW3rnWJOnoRx4+DVV8XfQ4bAxYaj2HlfivhAbR6oNhtEh0ebEkIRLSKwfFlNjnMZ\nbIlltSlVvGxLm1mn5pMAFwL/OtNS3igbsAwck4Tb+z/AZFmWL1zvTnhy9HPFMaAQoyckrGfUKHG9\nkpShNhdokZGR4dCHixfPUVJygEaNZIKCFM4H/2rOBxE7I0kKNWSqR44bb8KjalpnzYydTbmHxXKe\nkpIDhITIXLkic/ToSmQZW0p306buOTPMQq8IqXYerVarLjOaMn41l7NWoNdloVWlLXfPXq4uBf/S\nS1BUBGFhsHgxjBwJ46Y24eCXoc7k5/WxacNmnt17b7xH7qhq4hsPuR+0UMLcbGxnCrw9MGjt0Hdq\nvs6/DO28bLsWUWcmCNsNJGkO0FplgmgIRAIW4DZgGRAiy/LDOr+Vn332WcLDwwEICwsjOjratjAy\nMjIAPP67X79+tnx+SZJM/T4tLYX09KeJjCyzpRB/8kk9KipGcP/96VRVlXDoEHTqhOp7qKz8LR99\n9Jlu+4sWLaJz585s3/41CQnz+OMf/4dLlw7Rpk0TAE6dusyxY6dp0yaQu+5qz6lTwjHSunUoV682\nIiBgg0N/PvsskLZtpzFt2kyn8Y4Z04P779/JN99EsX79PpsjyZv5M/p706ZNrF79Ph988AmSJLFo\n0SJTz0vdP0mCzp3Fkf2nny5TWprDa6+JGNbi4kgkyY8pUw4gSZCdjcfjESQ80xg5cifz50fRp89v\nCQxcQExMSTWxOFRWBrNx4x0MHHjYoT8jR86zrRelbYDi4vOsXj2azp3/So8e/WptPo3+Li4+T07O\ns9SrJwRwdDRkZQVTUTGFHj360bZtPH/6E2zcKK6/rU09OnRfSOmVowDEdY4TDiwlQkARRHmABfpF\n9+O1Ua/ZxmfUn+G/G07G7gyuPnlVCLtwnNrrnN8Zy1cW0+OblDSJ3T12O/THZuNVtNN22O9n9P1a\nHBDaIJTe7Xrz0riXiI+PJ/rhaHa33F3j/hr9nZGRwcqVKwEIDw9n1qxZuiaI6y6Adb5vAZxBCOGr\nmu/qxAbsjQ0xMXESWVlruOuudoDQVvPzD3LpUggLFhTy2WdQWgrHj/vRsGEjFP+in9/duvHC2r48\n/fSH7N6dZWgi0GpZjjZH+zVKVQX1b371qxhyc0cRE1NCVlYwUVEf16qpQjsWT22zaWkp5OQ8S0xM\nie2znTsD2batkt69q4iLE3GsW7bUo0+f+sTF2SPp3Y3H1b2ysoLZt68/ISFFDmO9cOEcV6/m8sIL\ndve60X08scN7EiHjCkbPfnfOJX66PIaju8ZirQxCqn8e+bHx0OlfDppkvzzBYGZkv+0Xbmy3Hfvy\nWJsDrLikmKrKKpF6XAw0AOpDPWs9moc1J/LuSCebqqnQMXW/jDRr5XMV5WS9i/UEBeZlBEeFJvqi\n5YaWNjuw5aBFl2vCrM3aU1x3G7CHkLlO9em8TbeNju7Njz9+yKBBExk6dARjxvQgIcHK/PlXAKpp\nJyErqwFRUR+aEghWq5V58yYyZ04Rb745jcaNC5y88OqUUrUJwUwYlvKbbdtamI5vvl6ZXGroHdmP\nHTvEuXPniI0VboLYWPj0Uz+2b2/mNQOc1WolOXkiU6fa52L/fsGBoO6rEHD6FSNccei6M4l4EyGj\nB71nn5sLsX32cuXs/eKD+z5FDpkI9533qO3Qa6EuIxZyC3LJD8p3KRR75/U2FGI2rl4tjGyvBqQ+\nlImEipzyHErLhaOtpKyEqv5Voh86oW+l5aX2ex8zHOJ1RV2GodUD/IF6QH1JkgIRe1UMYo86BDQF\nFgObZFkuMmqrNuFtfTG1cJFlq0eha0YYPfopWrQQlQZk+QjjxslOFRyyshaSnt7NY+FmFzb2+GZZ\nxqGmV21WY9CbV23NOyPt2qjySE7Os0iSYM6SJPjDH/yJilrstR11zpzJ9O17xq1T0czmpua5MGOH\n16MtrYkWrKCyEno9lELW1l9jrbofAs5Ah/+D2z435EIAF2V7qhMdblScrFO/7rR/7jYbz5MMvCL7\n9Wrhfr1pKetSA54BzERotwB/AGYBucDrQHPgCvAt8Ps67IcN3mYcqYVLVNSe6rpi9vTY//73EgsX\n7vXohbJarVgs61i4EObPF5EPel74iRPLSUqayMCBlz3aNGbPnkyfPmccNglZhqqqHM6fD6esrGba\nnBpG8zpy5Dzb9wrnrJ52rSeYa9uRJcsyGzZ8Qrt2sGVLCEFBobRtezeyjNdtehIlokdbWhMtGEQ1\n5eeeg8zM34gPOq+EwX+B4Evi77X6v9Mr/V5X4Vee4rr14X5stl9thMT1RF2Goc1CCFw9/LOu7usK\n3oRVaYWL1VrqVFesd+8zJCZO4dVX37T9xp0ddc6cyTz55LXq39vLtau98Mp9+vQ5Q1WV4/euNg2r\n1cq33y4lMVH8rZTXkWWZZ56pYtWqxkyf/rbLcbq7j9Y8ojevJSUXbfNu56N11q71zB41yXTTm//0\n9FQefbSImBjYubOcb789z6BBi7zWpuPj43WpRfU2CSPaUm+14IoKeOMNmD1b/H9g8FnKHn8WOnxl\n6vcOhTIVaLThutB+bbSVdRV9oLCguUviU+zGx8Sflmv2ckbXexO6WWzA1wXeaFVa4ZKXB2fPynz/\n/Z1cvfoT5eX18Pev4NKl96lXr76uvVYvZXT79n8wdapos2dPHGJNo6L2sGTJC0ydKmJ/e/USWrJC\npuJu05g9ezJDh5Y5CEQ16XttVGNQj9HVvCphXmo+WnW7tU2Bqe2bXhXnuLgyMjNh7tw/e8ytoYZ2\nk1A/ZzWMaEu90YKzs2H0aGwRG+PGwY9XRrFNT/hKONlPa536UQUbUY7BMT63INc59M0kjJx3OQdy\n7AJdsftucSzkabtWzhGMaTqlitSUmdcTt5QANqtVqV8krXAJDITWra3k5h5iwAArGRlWXn4ZEhKu\nkJ39NxsFoFqg6KWMDhp0hd27RQiRNtb05Mmz9OlzwOGF7dXLTlLuatOQZZm0tBW0bQuHDsGVK3D5\ncgMCAvy56y5hZtfTbr2JiVbGaOT537RpE6NHj6Bjx918/z08/7wzlWRtU2DqCXT9ZA84dy7fa1OA\nno3UyIGpR1sqImT+Y/p+ZWWQmCjI6isroV07Eec7YADEjyrR/U1oYCjR4dEOmp1Z6kcjG3BEiwhy\nDuRQ+mWpw+dBAUH8ut+v3WuQipaq7ue1UCL6uba9Ojjv1JEPpfWceSf66JsVFMY0yzULhXmFN0Uc\n8C0lgLVwRQGpvEjGpemfIT1dZBYBhIbC+PGlJCdPo0ePUzZnV3q6cxUHRdidPl1IXl6YrS/R0V2Q\npAYUF+9l166DHD5sD8G7ckWiSZO7Wbw4zeWY0tJSaN78ChMmCEEjyzB79jX697fywAPiGj1hZ8S7\noAezQvO77zZz8eIX5OZabdq9cn9RjNR9MomnYXF6fXOsBShShE+fhnvvhQ0bluHn58f06Uk10rxd\nafKuwhDNYOdOofXu3y/mTikF36iR69/VRemdGh/RdaITovPMZd7ZoNJg1ZSVCu8E6DvTHDahm4Ql\n7ZYWwEYELK6OxMr3ERGlNGggzAaZmaKKgyRB165HyM2VuXwZZLmUZcumMWDAT25TRsEeR9uwYV/u\nvLOPw30bN5a5/fYObsekx607YACsX9+In36632EcnhINqcc/cmQJsgyHDpWwb9983XnKzPwHkyZZ\nSUiA8nLhNDp5Etq0gYKCAHJzP3Jr9vCm6q9WoNu5HUSKcFWVSJiJi4NVq0r44YdFrF8f55Hmraf9\nqgV/enqqy7hud+N4/fVpvPjiPGbOlHj7bbBaISICVqwQPgM1DCMaauDRvxmYwjyFRxvOTaD9wi0s\ngDIAF+oAACAASURBVI0ErTvtTvl+82b7i5CZCc8/L/6/Vy+Zr7+GWbOEXVeWj9C1qxCGrhxbjv05\nz6JF2x3IvJWXUvDkGr/Q99wTQX5+MUlJQtMrKAghIqILAwe6pnA0a4tVz8/33+OQJqydJyWVd/hw\nP7Kz70WW4aGHDtKjh5VFi8QR9vhxY7OH2T6pE07cVT4uKIhh/34LM2YUIctQWAgTJ5Yzb96fyc7+\nXlcTdqeF6wn+BQuc47rNIj09lY0bd7FsWTE//RSCnx9MmQLnKsYz44N98IHj9Uq9NSOo7ac5R3Ns\npd+D5CAioxwJany4vrhlBbARAYu7I7FynC0pOcL27cWsX1/B0KElDi/90KGCvzckRFROMBIIajub\nOzJvPcJ2PYEwY8bCahOJIIPJynIsCurJfLiitzx+HBvJd2JiILt2bXE6Rdx/vzDUqaMwevSwkpkJ\n/v6VnDmTS3p6ruGG4knV3717l3H4cF9CQlxXPk5LSyE8/FnbBqI4Nlu3znfShNWCXauF6z07gE8/\nFexnenHdrqAIycryBhze/Bhnz3yFLPvRpNlpvkpvTVwcxI/a5zKJwdBRdTSH/AHVZd1Vmp/WTqr+\n/eX8y4S1FOaxmrCHOQj/Ayrhr8NOVtdQ+pJzNIeG3zekfmMh/pSN6EZsQrekADY6qlqtVrdHYq0W\nmZj4IgUFSgkiRxrCgADYsqURZ892QckF1Tv6a/vTtWsJs2e/w8yZVx0If7SE7XralSvSIKPyOJ6E\noCnjV4S8JCmVn+3GvfT0VO6916IbhQHixDB+PMyfL+q+DR/+G9PPyMgkpJwctFltWuhtILIsCGsm\nTix3Og3ZMwntWjjAqlXv0a9fP9TkO9u3n6eqKofZs1sxaNBPSJJsmqUuJz+H/+6tD/uWQ3k76tWr\noFefRPaeW8gHqf9DXJx7G6lRlpki9Dz+vSKsqwW8N+xhDm26EP7uENEigu2p26nwq3AiYDcLW1/a\nIfrdzru+1CZuSQFsFHK1Zs3fXWpQenBHQ+hKA9XTfsVvsIUtKdqwHmG7J6WFXJXH8TQEzZ1wtFi2\nsnVrAC1alPHVVyFERnbh+PEjFBfDkiWhxMQcRJKs9O4tkZq60iaAzcQWuwqf86SWmnoDUWvCghDe\nfhpSV0pRl2i6ejXNdi/FgTlmTA+efrqK2bMv0aOH6+Kh6uSUH35Yzf7Mt+HUbwFo3z6bl19+jnvu\n2c34JMjJzzEcD4jQsvhR8fbS8N5WoVDDnY20OhJBiaFV4G0srTuOiPfeeI9/bf6X4G+oLlekoN7F\nevTu2tszDdZnA75xMAq5uueeDjVKAPA2e0v9O1mWHep32Uvb2IXdhg1HAPOlhaxWK7m5nzB1qr7Q\n9rTf7oRjdHRvgoLedzKBKEJKEU7CNHHeZtfWiy3+9ltHW7a6T95mNqrH/M03u7h2rZjXXhOfd+9e\n4XQaUviZY2NL+Pjj+UiSZOg7UG+eenOjnsM9e5aSnv4khw/v4Py5NiCV8eBDs5k2ZT716ws178l4\nWPdf13wOtsQKRai4S8k1EJ45R3PMC6bqSARbDK0CL2NpPeKI0Gwujb5sdMM02JrilhTAngpZs6FQ\nnrar2BG1WrSimYFjaRtFS1MLBK3AMQqbU+yeRtwHnoR7uUu8SE1dQEBACX5+xjG/yti09nd1bHF6\neqpLW7ZeeyK8zX0ssWIPLiv7A/fc4xwipy7QGhdnT5Tx97fQvr3E7t36vgOFFW/zZqH5g+S0mcmy\nzKefvsfhw0vYtUuUgr/zzp0U+4/mQtB+Xlqi6qgMXK3lxAkD4elgqlAd0W8WBAUE2UvPaz43A4cN\nRjW+nKOuTxh1iVtSAHsKbxnCjKAIu549Bzt9pwi3rVvzKC29hCQVc+2aH/XqtWLv3lAHwva4OM9T\nqWNihBZnsWQ6peqaHaNayGsFd1paio1E/eBBkWhy4cIPpKenuhTczkTr7mOE9eJ7CwoCqKjYYuo5\nWSzbOHKkOadOFbPZJodkKivrERx8zEEoR0f7sWRJJJcvn+J3vyti9257n9TkTHZWPGPT04wZO/ji\ni79TXNyKgIBSRo9+hSeeWMjEaVZ2290FNoR+WUz8qHhyDuTQ8qiGUrFBodu3OEgOssXHgtB89QTZ\nTQNVooVWS9eDMh/uoLCmmf38esAngN2gLlNlo6Njnb5TNLOVK58hPLyKp55SKC4Xk529lbNnm9nu\nv3at56nUkiS0uOzsvU6putoxmtGKtYI7O3srhw8HMmNGOYmJISQn34kk5ZKaupKPPtJPIrFz6tqF\nbXJyAj17njLlEF237t8cO/Z7Ro2CrKxKDhw47jZcT/m93olB4dvV0lGGhTWiZ8/j1QJZfK4ueunK\nXAJw7hxMmCDz2Wc9AQgP38Ls2WNo0+YQAE8+CvMOQdndjv1RmxjUfLVGWW1KSrCCiHhHu6xRIoJW\nUCvHf5ttVWUOMCvE84/l6zoB8xvkO1+sCF5VeaPCBoWi8nEfY2diztEcXSGttUcHyUEUblL1+Zj9\n8xsFnwB2g+uRKqvn1R8/vpSlS0UmmzahwBNotU5ZljlyRNiY3aUDu9OKZVl2qtnWpUtvWxXlIUOq\n2LixgsmTq1i16ryhUNTbJGJj89ixowMnT97ucD+9CJLlyxMIDq4kM1Mkv1y48IWtsrK2vzUxJSUm\nvsjx48VOGny7dh2Iju5laC6RZfjsM1HV+vx5iYCAYmJjp3L33cvYsEHmciGcKAFrGdx2PoAOUg/H\n0jz10bXbGhHbeJUBtwVbAUs1XNJAmsgmaxnekpx2zkd8B0GvQMPRYEO1TbvkUgn+qf4gQXBQsO3r\nC5cusHmAe/txZFQk+e2cBX9knjkNui7gE8AuUBMnjxHUwiYwUD+BQQnhiosTIVtmTA1G0AoTtY1Z\nydhyVevOleafnp5qMzc0aZLN6NEjgJ945hnRVr16JciyscNQgZFpoksX18kjynhk+Qjjx4uyRQCT\nJllJTk5g6NAnnCJEamJKUvdFHQesp8Erc5afL/F//weffy5+d/fdufTu/QoHjq1lz5XqVHMZTvrD\nxZ7QckNTMlZmGFaGcLDbntInnVFHA+hFF+gK7kooHKJqW7GRGjjVajv7LqJFhNh0XGjVFa0EN7Qy\nDzaonY4G5gunfuUBp6jVSA5v4BPALlDbVYG1Aj0ioozUVMcjv/helNyJjYXXXoMNGxoRGdm1xkUd\njTK24uNP6oatudL8Fe23qKic8eNh1qwKGjf+nDvu8Hdoy5XDUEFNIk/UqdddukgcPSrbNGh1n/W0\ndTOln8wgPT2FDh12OYw7Kmovf/1rFh99FMvlyyIp56234I9/jECSPiOsexiFXZyFjUf2SB3SGUXg\nqrVkm51YiR5QCe6co6KiRHFJsQOvgjvUtoCyFfisKUeDSot22Kz0NpJajuTwBj4B7AK1TQquFejR\n0ZCR8YMtGUFP4A8dCmlpJQwaNEE3YaEm95ckCAjI45tv/Nm3DwoKlJjdo1y8uJpZs4w1f0X7jYsT\nbQUFwYsvyrz2mh9r1vTl0iVR5bhhQ5ljx8RmYjZCwSyESeOCKqxNJjtbHPm7d690ChPTVlg2U/rJ\nCGquhLVrV3LiRBX793ekadPmFBU1Z8OGlzhxQtj4hwyBd98VHBh1DcNkCrWWqBLcNk1bG7p2k0VA\nuMRZ7P3XVkOu3nQsBy0EyUGEHgy1ZeHdDM5InwB2gZpoZnrQCvRTp84hSTm2ZAR9rz40bWpl2bJp\nDBv2hGmtzMz9Afz8zjJgwCF69BC2y5KSWH788XuGD5ddav6Ks+2pp8rJzIT+/cV1Dz9cya9+NdHm\nMDx9+hxhYQeYPx9k2XyEghnobSh6ZhslNE7R1pcuLXfQghWh603pJ1mWkeULJCRY+fjjEDp23MTk\nyRJFRdCkiSgF//TT9jA3BU4OIdXn4HzEvxmExQ3DeeD/IWqo62XBBeDSdgzCmVfYX8yfw+Zzg1nR\nfAL4OkIbvjV0aCemTLE7qNRZWm3bPkvXriL+9PnnXaftenN/pQ9jxvSge3exqpWkj4iIa2zcGMLp\n0w+gVHc+fjyPa9fswlNxtoEjGZGiea5YsYOMjAySk8fx4otiHHFxlXTsWNMULTvUG8qJE4cpLy8C\nJMrKGnH6dHuHEDdFW1eE9JEjFqf44wULnJnrjDYLxQasbAJnzrRj69YkVq4Ukvaxx8SYW7XS77s7\nh5D2iH/dhUUtxQFHtIggZ0OOk2klR85h7MtjHcYZ0SICy5cWZ9L2lgjB2wf9JBMvdBKlhPyNhk8A\n1zI84dQNDz+iWyRTzS1glLZb0/srfdBqkIMHX6VePYiIsHvyFZrMLl3swlOvj0obivDas2evraxS\nbKyIUFDbvGsKsyeUOXMm2bR1EH35+mtBIKTEH4N55joFwq78Fo0ajWHGjHlcu9aQwMBL/P3vYfz2\nt5KT1lsT1AXlpAM0ROkNzzakG91q3L5uqXmE3TU3L9fp2txR1SYUlTONSpFu3OjLRpRfKid0Q6hD\n7K8l8Od7OvAJ4FqGJ5y6kZHl1RWRHQWTmlvAKG23JvdX4GiScCQSevJJ19EQivBLTHyR/HznEu6l\npVvIzl7PhAmi/7GxihasX5G5LqBsRtHRvWyhcYAtRC4qqjepqcIpKcwors0uasTHx/Puu1+RkfEW\nx46JuN4HH/yUPn2m0qjR20iS6/F5KlBr6vRyig3W3kdzMOmW181UKJs7DgdXUDgsdPtUiZBO1UK4\nqmkVhRQS2iSUX/f4tam45noX61G1qdqxqJF08fHxRHxZx5uaCdySAtgbT7fZds1y6nbsuIedO8XR\nXU8w1aSAqFkbpisiIVkWGWxz5kx2GQ3hily+fv2lTtlk332nX5G5LuCOpvLAATsh/NGjIoV4506J\nq1ebEhnZCdmgYnJlJSxcCAkJD1JZGUBw8AX691/IPfds5eLFcLKz3Y+vrsKc3JWbN329SSHkEYeD\nBk7FQbW/0YkL1tOcjdAouJHN7quHm6EK9C0pgM1y63rTrllO3V27wmnS5IChYKppAdGOHfcyZswI\nVqxYY2pcWkKgbdv20abNZT7/fAVvveUd2c2uXR3Jz2/i0P8uXboyffrbzJ07tdY3QDXM0FSqEysC\nA0W9v6qqc5w5c4hBg/TTiH/8UZQHyszMAOIZNQrefvs2mjRJrJNxeApPhYrR9V7ZSA1icB0KZ5rF\nWYRzzQSMNpH8Bvm6CR8RLSIMa95db5gWwJIkNQQ+Bh4CEmRZXipJ0jPAflmWs+qqg7UNrZYoy8bc\nut60ayZpY/r0t3niiUjuu0/8LcwLjUlIeMsmmBTN0oy2rlxz+PAmWxJETEwJX3zxhWnHnVqTXbfu\n31gsT/HCC1bmz79i+9yTOOgZMxY6LXKln2lpKbXKraEHNUm6wkWhnQcjp+TcuRVOz66iQhTEnDNH\n/H+zZrBqFTz8cJ1034Z74+8l/5qzs65lg5YczDhYp/f22LxgEINrlo9YaZs82Fp/K1Vh5uKSvdFk\nbxYnnCTLsvurAEmS5gCXEHtNLBAOWGRZnl9nnZMk2Wz/zCItLYWcnGeJiSkhMzOIHTvuZMKEQyQl\nteLLL095XaJc3a6CrKxgoqI+dhIyaWn/Zs+ep+jZ0+pwbUnJ/7F//3uMHPmR7TeKA0z9md69V658\nhmbNqmyOJhDFHDdvbu+y6oQWsiwzbFgE8fGHiYuDbdtEOaHWrZvbvr/9dvcZaur21DG2q1eP5sqV\nFkyefJhVqx7wKr3azD1FZtpOMjMF329Jift5UD9D9bPLzobnnoPdu8V148bB/PnQuHGtdlsXYd3D\nBAeuBqFfhnL5u8t1em9DrokvNWXulUQPg1TilhtaOjrN9JJDcOS5COseJq7RaU99nVnUxFZdG6hO\ntHJafJ6YIN6SZflydWMngOGK8JUkaQRwF/AAcECW5Vm10Odah1ZLtVpLbV76vn3PeF2iHDwzGaxd\nu5JLl2Ryc6GoSCI4OIomTZphsaxm1izHygvubLpq7ojExBDWrOluS4Jo1EgmMPCYrsZqpFkrqb2x\n1TxBSjmhRYs2eSUo9WJstQTn3mYVqvuvR+YO5qpvKO1pTzArVy5i+/YRvPGGRFUVtGsHH3wgCrDe\naBSXFDsR0FwvYeJgu9VL9NAg8u7/396Zx1dRnn3/eychyYFAgoDEhRJcEkBb4oKKgqSLG0p91Uer\nPvWVgmKVurVaBK2ioqJWrW3RPliRV3zcatRKEG2rJFJQEeSgFTgRSETUsCcQkkCW+/1jzsyZmTMz\nZ85+IPPjwwfOObPcs11z3dfy+5UZDKadYdfDjnrSDpEMbDyx6mTCtQHWGd+zgONVIyuEOAooklI+\nIYTIBwJCiFop5UtJGXEc0MdIpVSUJ264Qa0ygHvvfZq77no4Ji84kuClKqg5ffpDSLmDG2+UrF4N\nI0ZI5s/vzdln/4rBgycYpvnhFI3hxkp/TEpm/0YqK3/Pr34lg8fZYWm87RShn356elTVAE5YvHix\nZY2tm/bkSDCP34rMPZoyPnPSc+3aU3j33f9hyxalnMwsBZ/uGGLnIZ3hBsWFMXHrCUY7RS9sU8IM\nTkZTr8mmD0tYabKVHVVGw+aGMMNe2FZI6djwBGHUBjZD+I6jSsIJIa4AcqSUemtzPDADmCulbBNC\nLAfOADLOAOu91M2bt4XVr55zzl5mzvwt2dk5CU0QLVxYyapVf6SxUdLZ2cGOHSu13xTegM+YO/dO\nbrzRGD+WUhpiumZjZeW1uaFxtKuWWLiwkry8er74AtasUdbfs0fg85XE1H790UcfWNbY6gnO7Yy7\nk4cLxpmBuVTu2Wc/BIiqjE+9NzZuzOOjjyayatWlSJlNv35befPNQ8Ok4OPF5KmTWfDhgrAGBZ/0\nMb5ifNI82WR5gmpIwqlZxKDJpl/XTpPNomenvK48I6oXEoVoknATgJ1Syrd03z0I3A2M0y16BKS5\nv88Gei9VrV9V5dtVr3jdumcpKelIKPm6nl7yzTf/yuDBktmzh3PEEQOoq4Ovv97KyJFfGoymKmLp\nZEhjpXG0q9bw+5cyaNDpBgPVp090MV/9Pr/8cpFtjW15eRazZw/l8MP7Wxp3Jw/XPDOwIg7SL2N3\n/vS4664nWLIEJk2CL7+ErCy4/XaYMeNQfBZ0sfF6v7VbakNKxTo0LW6y9FBTjYqKCgJ3u69e0HMt\nQPyqx0lvPAkel3+dP6wjL5VwZYCFUlV+IVAnhDgc2A38HPiLlLID+E9wuXKUju1nkzPcxEElPv/e\n9/4vX36pKBkIAUuX7qZHj66EdWzp6SVHjoRvv93NzTfD/PmhuOrMmbfy3XcDDM0MX321nuZmeOON\nY7TvzIY0FhpHp2qNRHJf6I28vsa2Z89hHHLIAKSUlJdbj9Psoes9XFWTTT9+s2be/PmPctRRp7mO\nyTc3w7Rp8OegFNBxx8Fzz6HFwRONyVMnhwQ09bB4Govzi2GR8bvmlmY6D3XPXBYz9hEe220E+ocv\nqudagPiVhs0GUQ1f6JneIP64d1N+el94EQ2wEGIgcKyU8iIhxBAUWoz+wO0mbzgfuBc4W0qZPo0P\nF1Cns11dbaxaVUJXVy2zZ5fh88HevWs59NDEkq+r9JKnnAJqaG348M+ZNes+pk27J2bDF8t6iabY\ntINSB3wMmzb11WpsCwvdedNmD13v4aqabOb26RUrFIOptnYPH34755//h4jjfO89uOYaqK+HnBzF\nEN95pzJeJ8QTA67dUmtZ2aAau8DakMJDcUkxxRQDIWNjl8RSO8tiMUrquio9ZVZTFl2FXeFVCEtQ\nyHH07GNFJL2jwCl04vhCO1L5bxjPRIrGHQkRdy+l3ALMCv6/Dhhhs+jvgClSys1CiGOklOsTN8zE\nQp3OXnXVXOrqPuKqqzqZP783UkpuvFFNXiWGfF31fkHlx0VLQD3yyCvcccfdSWtGgPBYaqIpNu1g\nVQfsdrxmD/3ee//C737XwksvgRD7DURBKgnPvn29+fjjQjo7A2zfHrnbrqlJCTE8o/AJccIJMHdu\nSGoonWgVrdYGdpGf2gm1NNQ3MJaxRtUMoKkgWJ0QQzw3TFn5DSDfYkGVEEc1zPr/pwl2L7TCRYVa\nyMLAMwHGJFwaKyESYv+FENcBVUC7EOIIlGaNjDTA+umtPmHlJuYaLfz+paxY0Z+amj3s29dO796t\n9OmjcOcqCru1TJx4MXPnuutWc2rKkFLywAN3IIRwFNtMNMWmE2LxEO0Igl5+GRoblfN27LHhgpeh\n2t9O5s/vw513Pm67j7ffVmp5N2+G3Fy45x7FGPfo4Ty2sAqCeco/qS7/GstYa9UMFwijuXQS9kxw\nmXHS47omlA91SNhlQAUEJMAACyHOAGajkMIJFCHtS+PdbrKgf8BPOmkDXV1KlvyUU/bxj38odbT6\nKoN4PEPF2IVIa7Zu/VTb9p//vI3GxrUIscC1kXci2lm4sJLFi/9I376Ct98+Gb9/BdOmPZhwQVEr\nJJJbw+yhb9q0nn37drNrVxsPPtjOzJm9GT68POy6uGkD37kTbr0Vnn9e+dy7/xrKTn+Ef9TW849r\nIxvSZNeSZu/MZoBvAOQ5l3NFglMowpLm0uqYimLevS0OpuqFRCFuAyylXJqI7aQC5unt6ad3aeVQ\noTpaaw4Aq225NTpK6VMeTz5ZrZVUTZx4Gtu3S265pdOVcXQi2lHldvr2bWPKFPjTn6bRo0cDM2d2\nRC0oGpskj/WLIZYQhJWHrnaoCdHOued2sHZtP4OH66YN/I034PrrYcsWyMreR9ePp7PntD+wIivU\njRiVIU1CHenoE0drnm0DFqrBLqGFE+J5MajJtmCsN3tnNqNPHK14zAW6l0OQxrKwzahNF8mrTUdn\nmt4Db2xopKi4KPR9mnBAGM5EwWp6q5ZDHXHEgKg83mhoH61KqnJz/QwdGio5i2QcnTw8vTyQEHDi\niRvo0UOyaNFfuOee6Ih0ohWujJaBLVpYdS+aVY+dEosjR17CjTfCq68qv40ZA239J/LJiBfD9qUv\nSbIVs9yMZX2qFeyMjBrDNcOtIVA9XDtVZP1y+hIrV8ekEuo0Y/CCu/YqLypfrk/5bVGogUIdu/68\nRapWiHY24RS+cFvFYG40OaDIeA4G2CWgrMqhIsVb3Rodq5IqvTwOKOEPp+04eXiAtr3LL1eWP+MM\nycMPw9ln740qph2LMXV6MVRUVMQdnrDqXjSrHltd164uyfLle5kwAbZvh169FDKdG26AH038xnJf\nTflNLKheoBm3sMTOEELZfxfer52RUWO4KsxGK7BW6RRraWmh/ZD20Io5oXHWDKlRDOdiYBugj193\nhJbTGyfL8QwJcjsEWcNqGmosA4jyDRnWRGFVapasMI2TVzx56uSoY8uZYHwhiQZYCDEFmAB8H3hR\nSjlR99uPgT8Dg4CPgV9IKTclaywqoklAOcdbQyq4kYyaVUmV3luFyF6wk4dnlttRfx8zBpYsgQ8+\nUIQ2QURNZxnJK3cz9Y9XCt6ue1Gveqy/rpOnTubzuu18+dGv2fG10r5WdNhKzhn/Gr/61UMR96dV\nINRHPdSYYSekWfxeMWUlJhKbxbqEmeq1misRHHgZrFA+tNxIgnOAqUscyLHlZHrA3wD3A+cAWi+R\nEKIfUAlMRKmcmAm8AoxK4lgcYdX26hRvVdqGFc/EbmpvRxE5a9b/0tHRn82b9/L66x3065cDSHJy\nCvjgg1mWXqdT6RjAhg0D2Ly5mffe209nZyvZ2Uon1+DBcMwxobi2WilhxcUbDZ2mikg1xXouiGjD\nE+r5u/POx7Vrom8tNqseK+vAB0uPIrDyYWjrC7m74Zzf0HjiX2moD5/yxwJVWSIVMcRYSGzihUaC\nY45xJ69SMi046EMQUso3AYQQI1Hak1VcDPxHSvl68PcZwHYhRKmUMi0tKVYxWvt462sag5oyfmvv\nVeV/6N+/07DsWWft1mgO9TeBSjtp5XVG8tz18kD6SguATZtCXq+xUmKkbRWBOtZIXrDfv5R160p4\n9911DBw4VOtwU/enckGo2zITxDuFJ5yuidX4Nm1SSssCS+9QFjh2IVzwSyjcHDZuW/FHF0+D6i1G\n/QDbkJUnxXir0uwxPN1lR5VZJwDdU/rGhWWfLqPoNGMJhi/XFyZDdLAgHTHg44DV6gcpZYsQYn3w\n+5QbYLu2VztPUKWSDATg669h0CDYssUot25FEWlV2qY+wIlKZEViZNNXSpj3E0uDxp13Ps6kSaOY\nNq3L0FqtrqtyQajn0UwQbxeesDofduNraVnK5s2XcPvtsGcPiJxdyPE3wQ9eMHhtgY0B7f9hRfl6\nLAr/ygpRe082ZOVJaQIoCu0r5u0nuU7WKqnmX+enqaMpLPYejQyRW2SC9wvpMcAFKIIjeuwGelst\nPGHCBEpKSgAoKiqivLxcO3kqZV48nz/8sEbzrPLy/EyadAXHH6989vuVMaieVs+eh/Dtt3X89rcK\nnWJ+PgwbBh0dnQwbNkbbfnPzdo477nNWr4bS0v2cc85Nmsdr3r+Ukueff5Ljj1eWz8sLedOJOD71\n88KFlWzf/imHHx7y2mfNuo9Ro8ZSUVGhda5Zra/C/PusWfeRl+fXvFH99hRmNT+rVyvdZULA0KFd\n3H//zZqxnT37bs4+e4/Gu1FTUxN2/tTzYTW+F1+s5tFHQ9dp9OhqVjb8nNYRwSSb+oAPgdb9rYb1\nSweW0vhhI5u+3URXTyWs0bG7g+Y2hauYHJRuMFAMWiP02t+LghEFtufD/LlgXwEjPhxBUXER/jY/\nTXVN2njU8elDGfrxgvKb3tPWbw9gxfIV7M3dqxj3xWiNE9ldioJwVlMWBeWh8ZrXb2xQVigdUaqN\nv2BfAWPrgl12bcHxChReiDeUc3DyKSdr29OPT79+YGOAPdv3KKeyTw4BGaD83HKO7HskVS9VMefh\nOWHnq/zccla3ab5Z2PlI5POQ7M/V1dXMmzcPQLNfVnCtiBErgkoaR6hJOCHEH1AoLX+lW+ZzVV+f\njwAAIABJREFU4G4p5RumdROuiKGHXjlBzbLPmlVMaemxBk5gVQWivPwMAoGrOfHEFp56Ssmoq+up\n6g5A2DbtlB+qq6vZs2cbjz56Offe22W7fLyVBGrd8Z49y5kyJXzMsW7T6ThnzryVTz99n0GD+rJz\n5zaNIH737hyuueZlpJSW6hORtgvQ1aUQ50ybBi0tijzQ7Nlw6aXQd1R0ChJhcVWV68DciJADY48M\nVS9EG4Kwi9+OrRtrW0oVqSZWrZ6wrNggNuUIFeXnlrN61Oqw791u0+l47davmFBBTX1NwlQwnJDq\nGHAiFDEShS+Aq9UPQa25o4PfpxRWcUUlRnuz5bRbibEaib7V9WKhQVQJ0C+4oMtx+aqq1/j73x9n\nxIiTWL16ZdSG2FwnrO7HTf2x0zadjlP1WMeOHcukSaMMBPFWjGZqqCHSdgMBhTJy6VLl9yuugCef\nhAGKYhI+6VMqBUzwSQtOSSuYuQ70SBJngJWRVY2rk+qF+q+dLHs8OLLvkRTVhbfDNdQ3hI3JPK5Y\noBHqtMW8iQMSySxDy0apTswGcoQQeSiTpTeAR4QQFwFvA/egaMulPP4bbdxTn+xqaOhvoI/UVyWE\ntinZtKmOQYOGWG5z794dGgG6mapRXV410t/7XjuPPnoTxcXNUZd0+f1Lg5USe3j77WYGD+7iq6+y\nKCrqT3t7bK3Wkc6dlJKlS99hz55thjrel1+GnJxVHHtsFvp3iCqcabfdvXuXsWbNJdx9N7S1wWGH\nwdNPw4UXGsdVNqyMhiHhSaSyurKw71wjmEDTJ88AShclr2srUj2tvqnCsiFjCfib/THLFlW9VGX5\nvW0lhmlckZpEzNAIdaIsoYsV3SEGfBeKcVVjCP8N3CulvC/ILzwbeAGlDvjyJI7DfoAu6oKtpv9u\n64nVygY1BqxHV1cXDz10E/ff30FWlrIfcyJL3YaUG5gyBWbNauDEE4maq/iuu57grrueYMGCv/HX\nv17JhAldrFyZz7BhT8bJc2EPNcG2fv2Z9O4dquPt7Azw7be92bbNxzffKFzHmzdvQ4gAlZXzeO65\n8Ac/JAWvfFak4KFv37BFY4OuQgGAJsiuVHgZyoaV4W9WpviG5BlE5RE31DdYqgM35MfWcmww0PUW\nC3RA03lN4Z5xkpm/tHFZjckNgq3NKrJ3ZjOgaAClo9LXLpxMJLMM7V4UfmCr394HhiVr34lErI0E\ndpUNqkFvb28nK+s7VqxACw1YSQfpNdp+9CN45x0YN+6zqEMH6rZ69uyIW4/NattWddSnnrqHzz/f\nzpNP6mPjncyff6wW0zWymBklg8xS8IMGwZw5zlLwMTFuWaj5dtJJWZ2iU+Zf5w9fpy7UEgxoPLr6\n9lx1v3MenkNxSTGBIYGwzagdaI6wKGGLti1ahVsFiLTVyZqOZ3Td6ITGflUc9HXABwOsStQeemi6\nbQxWb4jsaokXLqzks89m09CQw8UXQ1VVbzZvPkEzRvpQhVmhWCV07+pqdeUF68ej96Qj6bFFCzd1\n1GYZIf35sPo+Vin4aEMCpQNLWfbpMtppD/tNLV0LqxcOwkoduGlxkyImqRrMdQqHb7QGM7A2EPIi\nVfJwdJy/Qwh5ijqvUSXF8bf5LTvaUqYAofdkt0J2TjYFPQsI5AYMNdAHY21vNPAMsAOs2ojXrJlj\n6w2bJdjNSSa1xvjEE5vp7MzihBOgs9Oege311+cxZoxACCWKIwSMHq0koM48M7Lx1BtG/bYi6bFF\nA6c6aiXu28KsWTdy+OGDwgRGrWquUy0FP+fhObxa86qlsTILZhowBPtptlXNr95gRsDkqZPZ1rrN\nqLSowmobOqOu8jPEm5iL2zvUv2gWQ+cPO2kK/tEaPdJIhJ4J3i94BtgWqmH5+c8VJYbLLmvh/vv/\nwj337LVtPbaSYAcMBnz48M/4+GO44QalgsKp5ffoo0tpaGjmySc3sH//HtTOgn37Cti06WhH46kf\nj1p1YFQI7s2TT1YDWLYmu4WTfJB67GPGfMemTdssz4eTFPzNNytS8L16RT2sAxq1W2rpPCQFmm8x\nIFmk6qkma88UeAbYBgsXVjJ8+Gc88YSiD/bKK4oyg11Zmd4Q5eXVs2pVKZs2DdB+l1Li97/A+ee3\navzDfr/SpGAXCojU2fbgg9MMMVPz+J101PShAX34IFqeY7MHe889L1BeribddrF3bx1C7GHrVoHP\ndybqS0RKSV3dewwZcjIbNuTz0UcT8fv/C1UK/u9/P5QzznDcfeqgNmXoq7I2AyUWyyZYRcIJKi+F\nHqrBirbd2kxVqTaImMMEkUIGVoZ02XfLaF8cDPE0oaXll7UuM4QjkhHrtYMXA84wWGmnrVw5mF27\n1nH//TB9ehaXX27ttZoN0U03dYRVNFRVvcbgwVfz5ZeKQvCaNcrfhQsFAweWRB0KcEoOmsdj1lFT\nl2lrW8LGjR8ZEoXR8hybvd2f/nSPFlJ56KF7yc19hJNOghUreliGWpYsUSoc1q+PLAWfLBhqh3UG\noqW1RYnd5gP7MSbq3sA6nuugJOFkMMPKylzUw+pZzMxwbLe28DTtqCqjDRNYGeii04oMiskq2he3\nGzXauiE8AxyE2fDceefjnH9+FT/9qWpYumwrFtwQ2aj1rXl5sGVLHYMGldC7t5/p0/cwf35vRw0z\nMyJxR5jHc8UVsGJFeKy5quo1fL5ndOOtjIqTwqkWeNy4i8O4IPTbNEvB9yyqo+yMWXy8JcB51yvf\npSpJY6gd1jVhtNOuxYazK7PpRBcWCKpFqEmvwMYA2xq3KXLxHVhCbzDNHMCGbjaHeLHeiEeansc1\nrY+ihjfTYau+kcQ6brfwDDDWBs1cgXDaaTBzpnXFgpuGDjWcoNYG9+9/CuPGrbQtP3MKA0Ti7XUz\nHqvwgV6k1E2FhFOIpKrqNduXUl7eJVx7bUgK/ojj5vHV+OtYlbPfsA1VBRgSa4zND2Rgo0KA7pM+\nWkWrZUKuoGeB8fug96snJdeaFJZgMKCqkdYbvjCPs960Q7WKQFcBUdhWyGVjL9POw9CKoWHMYQDF\n+cWsq16XduOiQqO4dEBgbSBpHXav1rxq2aqdCV63Z4AJxXtffhmGDfuMhQsrDfW34KwZ57YxQzV6\nkyfv4b77/sKFF1p7h3pvfNy4iy1rbJ14e92Mx8pr14uUupUwsoPfv5RPPz2GTZtC3RJtbT155ZXD\nWbFC+axKwd/yh3l8ZTK+YCrzSuDDYkeArqlCWFQP+HJ9hvCBPkYahjGEN3cE9+umBlfbBkG1ipKQ\nx6tft6GtwdqwuGR0U6G1AdfrvlQ14Y6MbltWsKW41EEjwjfD5XW383IDawM0+TLT+IJngDWDVlbW\nys6dIGUrTz01TWsRXrNGWW7PHoHPF32sVg/V6K1YEUrogdE7HDfuYoM3LmVXVLy4bmH2knfu3Mbe\nvWs59FD7xpBooHJBqImOhQvhZ5fvYm9zX0TWfnod/hgbch6j4pcdtLS0hB7+HKJuLkgFzOToEZM4\nCaKfdIrzJgpaG7AedbjqZkuHuKYV7Fq3rboPMwnd3gCr3q9SGqY0KeTm1iHlYXz33bca0XifPgoj\nWjSyRipUJYqNG2u46qoWXnlFScRt2dKbujqjXJC+YWHYsM+C6huReXGjfTGYj0MhGuqPwnkc+3b1\nqKioYOdOuOUWmD8foC8c8RHywok0f7HWmvDGoVY2Ux52sK4j1cdc7RohDhgMUYxXpHixGw04Q0WG\nLsnJ/qCHP7ScQG4gtecrhgRjMtDtDLBVtcOnn5Zw8skBhOiivDyLlStL2bt3lyXReCxQlSjOOUcJ\naajimebEWKgtN6QArKpvqN5oLC8AN0jUdvXn9803hSYFn58Phx//FBvH3QhZXTFx3yVL8FGPeBJX\n+peAXSOEQdG4PvhlDjHLuycbUYVNbOBUkaFvHIkUpjgY0e0MsL5bbfXqFUyf/hjXXPOhoUlh5coO\nzjqrKe5pOIRId447ri2sFOzrr3cZPEwrBWA3DRuZANXw/uAHJ/HJJ68yduwUlizZAFQwZgw8+yxc\n+8CrbMzqctxO9s5sOhcHqw3ScHe6NTSx1pFqcW1dlYHqBYJ7DmCA5pZmYztyIkM3dbqxJuAFl9ZG\nCxPBD0Cvrb0oHZ/+Jo9uZYDN3Wp9+mxh5syOpCaj7r//dgYO/I5jjoHSUqPHa36I7RSA1XElirsh\nGVA4Lp7ib3+bSH39xzQ1DSA/fz2PPqqEdnT89o4YUDTAoASsPrR2pOWxINO6rqKJ8xpmATojnl2p\nqGCAUgWRbERLOxlNA0dgbYBWobSBx8sdsb9pP4UWgnZ9cvtkRJVItzLAqocJIOUGrrtOMmvW/1Ja\nehKbNikWwm0yyk3HWGdnJ++++yceeECJLV9/fQsvvBAy5mYPSh8GcOIczjQDLKXkhRfm8c03z7N6\n9f8B4JhjFnPHHW1MmhTdtszJLj2sypRiQSIevEjer63mWUFy4pyjT4ydNUwdq3+dqXPOwTrETTtp\nQlj4JviSccsdYfdSDQwI0PDj8NCGKxa6FKDbGGB9+dYnn6CVmJkVMGbOvJV162DbtrXMmydtqx/c\ndIxNnPh/GD++HSEU9rEVK9x7scmK9SYaUsKtt67g73+fT1tbX/Lymrjggt9www3PMv3e3nwU+BnP\nPPIMYPJyWgO0LlK8HF+uj7KjFK/XSXHhQIKVkU+FrLyKaBKWBmWNaMdnmt5b1TynAnYv1UyPLXcb\nA6z3fj/5BK6/Hl56CX72M6NXqir9TpqkSujIsE41NyrGXV1dBALvMGGC8nnkSKWRY/jwcs2YZ0o/\neqzYtAkmT5a8+67SrXLqqQv59a+v429/+wYhYGjpHlZ9vkxb3o3naWcE/Iv8+HJ9WlmRnnc3WQ+7\nkxG78rwrM+faWahfaN62KS4ceNu+4cGAOtx1w5m2r29MyWSogqTpRrcxwGp8VdVzW7Gii507w71S\nN3W2kTrRQIn9Xnhhh0Ujh7XeXKoQr8AnKKKYzzxDUApe4PPt5JZbbuass15ACPhBOdwwA9o7oCA7\nMVPupvwmA59AKh50N7JACz5cEEZb6ZM+xleMD3vhJC32bKV+YdPO7NTwoB9fY0MjRcEWvFR5s4a4\ncr3uhxgTjJYNJur2MsTyZcgwkg+9ntt33/VjzRo/d921J8wrdaN1Zsf1q5K1A7z33v8yZAgEAso0\nfcuW3pSWnmAIZaTDgwqvAnE2xGaDvXEjXHMNLA4+3MOGfcaoUfew7NPFvL1GXQm29oadI6FwUXPM\numSZisDaADPmzQjFTPODPwQNRdNia9Jz/TFPnjqZBdULaBWt+Nf5efW0VwElHDN+VLjxVmEZW05Q\nzbHb6gsgZNjiMI7mc6R57eeZFo5RJ86ywSS4vaIjHViTUohuY4BV3HXXE1RVvUZJydWWXqkbrTMr\nD1lP1i6l5MIL93DSSSEhyh//uIPhw62J11MFqyqQSKxnqsGuqhrJxo2XMH26IgU/YIBCpHPppT9A\niDc47MzDaBhlrcAQ5nFlQAF8PNC8SPMUPQpDUbullgZfQ1gzShNN1NbZV3vYxpYTrIqshyWfQvDY\n9dUXoFQtuKkbtmVfsziHKgFRojzxwrbIDSapQrczwG64FJxg5SF3dXVRW/u/3HGHEhMeMuQ0tm0z\nClFu317Cvn3GRF6qY8BWVSBOxy6l5LE/TGHCVYdx5c8Pp3m38v2hQ/7F2ee/zWWXheLiluoRB5ih\ndfTyQON2aG5pdh8jzRQEuSmaW5pdLa6/N2u31NrKMnUe0mkIDUV6gYAuNODy/KlJPZU5To9YZlPl\nQ8u58rwro1onWeh2BtgpxmsmvrGClYes96iHD/+cYcNu5/zz/2ASnOwTRjmptijHE491C7sqEKeq\njLfeep28nAlce+29tLfng+9buPB6tg59i6/rxhqWNXDqqrAjLXeAeYqtTfNTcKfakfRoXlnQW9Ua\nRTIceupKVdk5E8buZNCd1kl2F2Q60O0MsFOM16wO4QZOHnWkZN3evTtiUlyOBeYqkBtuIGy8gPYC\n+s9/4JprhrF9uzKuc8+dy8Z9v6G2zDp7bODUVbGYqOODZm/G4JWa+AVShcI2pfLCEGd18t4a4d+f\n/pui04q0ao1kxr1tk3tjS40lZtS4LhvLmAoPlHOZuy83oTOOTDm+bmeA7WK8qrfqloxchb1HXekY\n6nBTypZImKtArDrspJSsXj2Hq666ildeGUZHx3AOPXQTv/nNZE455V1qPoSH1sG+o4zbts02J6AA\nIi3JOgsqSVfYDrwJ9IfOMUERysVNyospiZ5aVOco08vGthEWB+48tJP9W8PpSiMhWd11iUS3M8B2\ncFNaZoVVq/7N++/346uvTtYMqJSStWufcyxnW7iwkrw8v/b9woWVrqoSYoW+CsS6w24Jy5fvYs2a\n99mw4TgAjj/+7xQO/BUvLtvMi8sACb06ww2wbbZ5LvSo7EHPnj0NXweku0SNFVLCiKajkoSg56s3\nCnqNOB1hOsXBdV14/aUDSxWjsMhUwpbro3RU+hNEYfkJsy6eOhHqH+MOLPgZCtsKaeloof2H7eHL\nV0a/C8fuurqGjGBE8www8SXmTjhhNF98MZdzzjFWOMyceStffdVsK9fz+uu/5/vf36ftz21VQrww\nzwAmT53Mum/r+HLhMLbWT6KrK4e+fTdQVv4UH77/GBUTnmD1kM0x7atXr170Luod1grqJlFjB0Ms\nUOep+tfFr54R2Bhw33ygJuF0EkYsQTFMesPSGPzeRGx+oJThTZ46WVEM2V9Ic1dzSJZJAP1Qzr8p\npFE61sULxOIlVV5XrsT8D2QazyjhGWCUJNqOHSu1z5G8YLU2dtq0B23DCG7kek44Qb/NyFUJycCK\n/2SzavmTsH04QnRxySV/YOLEO7nj3n2MvXoFtXW1MXefnXzKyQDJawVNEOm5hn2EZIDMyDGylvnX\n+WmqNyUHdwAXWaz7JglRlogHbppAwmYX8zBq1enxCtrLT0+h6ebl5zQW/zq/5TpZIovRdaMdxx8V\nMqSCxTPAwOuvzwO6uP32fpx++nFhmm96SCmZOPFiWlr+ZWBSiyZsEUoEwqZNdWRlFTBmTAAhZMoY\nz1pa4O67YdWiP4PMpl//APfcPZHvf19pHb5kPDz05Qfs+3FonYyLFyYYWiLRqp53jI3+mx4yfDUA\n2kM8wJCeuKOb/VlWGtRbL9ujswc925TQki83Oglrp7GoDSlm9PT1TMq951/nj5vvOB50ewMspUSI\nHZx+ehfLlu3inHNu5Pzz/8t2+aqqv7F69Ztcdhm8885fuOee6MMWqnf80EP30tDwe9rb8zU+4lTw\n/n7wAUyapEjBIyD/qIc5fNgMnn2vDd4LLrQLevUOj/dGA1U3LVo4xXkzBY0Nje69qBxTq/CBUDoV\noc65Z9+emmfslrHMDYrziy017RJOsRk8vqZ8667FVKHbG2C9JNEtt3Txpz9NZ9y4S2wbE37/+5s5\n6ih46y244AJrXTc33quUkg8+eIWKimY6OzeEbWfSpIt59tnXE2qEzVLwxx0HuSU3sGrkHD43L7wY\nGOluu3ZTyoK+BTTjrvBfj7TXfLoo1Tqy75EU1RlfLjUd7rrR0u0NZzLWVa+Lab1IyVmDLBIoYaZ6\n0m4Bu50B1sdvH3xwGhs31lBW1srIkSEy9rffrrT0gquq/obP18CUKTBrluJJfvBBb8rKjLpubgzw\nwoWV/OQnX/Hll7B1q2Tt2uEccsgAAHbs2MbGjQsTGor4178wSMFPn678Pee6QNzbjsQhYBfvs1Wy\ndUiGpUR3zUWpVtVLVWGr5fwgJ5SkckCy1J4TigyJkbpFpJe2kyxSOq9BtzPAKrfBzJkd1NTM5uyz\nu4LSP8rvp59u7QWr3u/55yuG+kc/gnfegXHjoud40FddKHwRUtOeA5g0aRQPPNCekFBEUxPcdhv8\n9a/KZ1UKvjzIR20waGrXmSpJngA4GWc76kknJVszoY1VNUWsoQqn5JCb8resfVnWnWbRl7ACGSJC\nako+qohXRDMRx6bfRjStzZmEbmWAVcM3efIe7rvvL5SVtfHmm/mMH59laEwYObIuzPusqnoNn6+B\nkcFp+SmnwPvvw4cfDg7jeIgEteZ49WrFEJqbIWJJ7FnvB667Dr75BnJz4Z57FArJHj1Cy1jWSqrl\nXcFpeKwk28niukiWYbLrwlMpErXpaw5KVYOpjrRfUT9jxYdaI3x4bOOx8+r8i/ww1V1iLZpzFUZH\nWVwER1ov64bo3GnfiQgzGbZR7349bT8ZYLC7lQFWDd+KFXDOOXs57TRYtWofa9YMY8uWAdpyUko6\nO41G9fXX53HmmUZDfeaZWaxff3TU6hVqFcQ33zRRF4wjSilpbV1CXd1HMRMFqTBKwcOppype7/Dh\nLjeQ4d1Sdg9v4D1rsvGG+gaKS8KTOJEMtp3+mh3rWVg7dvBFVthcCIswGvA4EClxZPYMLcvILAyd\n/lxEenm6KWtLeyzfhHTzHVuh2xhg1fv9+c9bePppJeTwySfwve9Jdu7cz/z5ztLzRx9dSkNDc1gH\n2dFHHxvVGB58cBp33vm45b6qql6jZ89nYk7sAZx10dPUvPMz2tsOISt7HyUn/JW80kr+8P+OSXmy\nJ1bv1yd9lppdkR6U1v3WZOOF6woJDAmPdfsXhZo39PtwdZ6iUItQjyVVckRxeYZBRLp2ybqX9AlK\nSGy4JROTnd3GAOu9XzWM8MknMGUKPPLIBhYurOSCC+zLzxKh0RZJRy4SGbz62YqxbetWuPFG+Neb\n1ytffO8Dui6cxMZ+69kIiDpnOfhYkRFxyhiRSK5irWPMFL/2SR+lFaW2286k0jonpOo6h10Tt9dD\nV7libgzJZKTNAAshqoFTgXaUxsbNUsphydqfatzWrNlAXl4zf/97O+PGtSAEjB4tqKyc52iA9YhF\n1seKfKempsbgabgx8iEjfjJ+/wqmTXuIV14R3Hgj7NgBWTmtdJ19G5z8NCyVoVbdtsilT7FI5jhN\nM2OdxgbyAhk1dbWEKYZYu6XWVn03019EVjBfu0wLJ4RBFzZzEzLLFD3GdHrAErhBSvlcKnamN24q\n89npp38MKJUPGzZsDzZlOMvzPPDAHWzYEKC19f2oeBusyH569jwkKj5gvRH/05+m09EhOf30m/j4\nYyXL85OfwJ7CX/Dx919RVoiyVTcaSRoVrvkTothfrEq2zS3NStw1BomcaFDYVkhJQwlFFIW/nExM\nav/eGTstZVjtqoqDYN6aCN7nWBwG9T5ubGikaF6RYZ10vCjTfSlTQ3hgghvhTbv13n//Sdrb93Pf\nfe55G+zIfi666DdR8QHrOX2FGM2//vUYra196dNH8thjgkmT4Ie/SA7vgp0H5FQyliwPw84wdR7a\nGRuNpMN+IvHshsHEpNZJ7LSUcx6eA1OJryswxql5Iq6dk4G0qqqINkYei8HU7mOz05AmTz7dBvgh\nIcQsIADcJaVMSZbCTazVDCkllZWP0tW1j/Hjo0uQ2Rn8p5+ezu23u+MDVo342Wf3Y+rUSj755FwA\nhg59hzvu6OLqq8dFeRZCOFDiuOYEjVlPDYC/KTplWWRpNJj7d+2n+L1iyo4qM2yrqcC5jjUTjj2W\nMRh4cPcHNLkon4yOs8EWehY6h9BWJpw/PRxVktNElpROA/xbYA1KmfoVwAIhxAgpZdLfRbEk1BYu\nrKRHj1X4fKEkntsyMSuDv2PHNnbvXufakC9YUElT0ylMnPgAra296d17J+PG3cwJJ7zA03N7M/f9\nExBCaIkgn/Sxo3UH7YRzqwY2GisCkhXfS3SczZCgqbdZqD90/rCTzsVGrbJT6k6hel619rLx5fqg\nGY13QB8i0MPu5VSwr8CyGy4T4MiD68DZoD9WPY9HmLecaBY63IcT4nEWDLzV+hh+jKrLiUDaDLCU\n8hPdx+eFEFcA44DZ+uUmTJhASUkJAEVFRZSXl2sPdXV1NUDSP48dO5bKykdZtaqdU09F82RXr4a8\nPL9mPO3WVw2+fnuTJo1ixIgu/P6QIe/Z8xCEEGHrDxpUwS23jKCurj+wksMP38no0Tewa9cWli6F\n887dw0PrPmAfwFHAECURsWL5Ctrr2kM3WvAGVz0idfsa1AcguHxjQ6PRiJp+pw6ymrIofq+Y1v2t\ndOxW3KKcPjksb1rO+PfHc/Two7UHubGhkSP7HqkZLrvzpT6MjQ0KL2R9Y70SbtiD8cGxGI+BStL0\ne3V1Na8teo1dl+wyNlEMgZbKFhobGlnesFzz6Ar2FbB512ZWj1odtr0RH44wjL90YCmNHzayfut6\n9rLXdnzqMTkdv/r5gisuYPOuzYbzB3DKiFOY8/AcV/evgTTI4nzol1++ejmri1eHT8+3KNfks5c/\nY7/YT1tOm9LxpydlHxN+v0TzvDkdj/58LV+93PJ6qElfp/1p5958PnTbdzveSJ+rq6uZN28egGa/\nrCCktOPQSy2EEG8Db0sp/6z7TmbC+BYs+BuPPHI5hxzSRVFRyADv3i3o2XMYQ4eeHZVXXVX1GoHA\n1Zx0Uov23YoVPRk27HnOP/8Srcpi466d1HzwfepWXUNXh48e+bs4vOQOhh79FmVHK9Pp1QE/jXlN\nfN0JO3XkOWPrxhJYG1Ckz00obi3mu4+/07wJQ5cXKK/lMco2HOkXg/sBmxpXPVm5bnmrDHXUXVMW\n2waMShVBw6Dfb9FpRdaNCW8QxuXrdGx2x2EbywyOV11Pf7yBjcYwgcq5HNgYsKyssNq3U5LU7Tac\nrnH1vGrXx+YGsXqykcboBKfxjy1xP/ZYEKS4DZsmp8UDFkIUopSg1aBMaC5HeVRuSvVY7ErK9N+/\n/vo8+vaVbN/ek44OtY9X0qNH76iNL0SOQS9cWMnSpf/kgw//yt7GIGv78S/Sft5NfNVrByV1Y3ny\nyWpAualW2yQvLIUygbI65QG3TUgEp2R6rlSnKWIi6PyiDoMEOQoAmtqalHSuJMS7UIRMOd3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aV0taMnUpsuUej2BvjzzxVRzJUrBZDHuefO5YYbfkPv3o3k5/eMmSFtQfUCGnwN0Nf0w7fKP637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\nePCQJngG2IMHDx7SBM8Ae/DgwUOa8P8BQ/SjMgtU3vMAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib import gridspec\n", + "\n", + "axes = [-11.5, 14, -2, 23, -12, 15]\n", + "\n", + "x2s = np.linspace(axes[2], axes[3], 10)\n", + "x3s = np.linspace(axes[4], axes[5], 10)\n", + "x2, x3 = np.meshgrid(x2s, x3s)\n", + "\n", + "fig = plt.figure(figsize=(6, 5))\n", + "ax = plt.subplot(111, projection='3d')\n", + "\n", + "positive_class = X[:, 0] > 5\n", + "X_pos = X[positive_class]\n", + "X_neg = X[~positive_class]\n", + "ax.view_init(10, -70)\n", + "ax.plot(X_neg[:, 0], X_neg[:, 1], X_neg[:, 2], \"y^\")\n", + "ax.plot_wireframe(5, x2, x3, alpha=0.5)\n", + "ax.plot(X_pos[:, 0], X_pos[:, 1], X_pos[:, 2], \"gs\")\n", + "ax.set_xlabel(\"$x_1$\", fontsize=18)\n", + "ax.set_ylabel(\"$x_2$\", fontsize=18)\n", + "ax.set_zlabel(\"$x_3$\", fontsize=18)\n", + "ax.set_xlim(axes[0:2])\n", + "ax.set_ylim(axes[2:4])\n", + "ax.set_zlim(axes[4:6])\n", + "\n", + "save_fig(\"manifold_decision_boundary_plot1\")\n", + "plt.show()\n", + "\n", + "fig = plt.figure(figsize=(5, 4))\n", + "ax = plt.subplot(111)\n", + "\n", + "plt.plot(t[positive_class], X[positive_class, 1], \"gs\")\n", + "plt.plot(t[~positive_class], X[~positive_class, 1], \"y^\")\n", + "plt.axis([4, 15, axes[2], axes[3]])\n", + "plt.xlabel(\"$z_1$\", fontsize=18)\n", + "plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", + "plt.grid(True)\n", + "\n", + "save_fig(\"manifold_decision_boundary_plot2\")\n", + "plt.show()\n", + "\n", + "fig = plt.figure(figsize=(6, 5))\n", + "ax = plt.subplot(111, projection='3d')\n", + "\n", + "positive_class = 2 * (t[:] - 4) > X[:, 1]\n", + "X_pos = X[positive_class]\n", + "X_neg = X[~positive_class]\n", + "ax.view_init(10, -70)\n", + "ax.plot(X_neg[:, 0], X_neg[:, 1], X_neg[:, 2], \"y^\")\n", + "ax.plot(X_pos[:, 0], X_pos[:, 1], X_pos[:, 2], \"gs\")\n", + "ax.set_xlabel(\"$x_1$\", fontsize=18)\n", + "ax.set_ylabel(\"$x_2$\", fontsize=18)\n", + "ax.set_zlabel(\"$x_3$\", fontsize=18)\n", + "ax.set_xlim(axes[0:2])\n", + "ax.set_ylim(axes[2:4])\n", + "ax.set_zlim(axes[4:6])\n", + "\n", + "save_fig(\"manifold_decision_boundary_plot3\")\n", + "plt.show()\n", + "\n", + "fig = plt.figure(figsize=(5, 4))\n", + "ax = plt.subplot(111)\n", + "\n", + "plt.plot(t[positive_class], X[positive_class, 1], \"gs\")\n", + "plt.plot(t[~positive_class], X[~positive_class, 1], \"y^\")\n", + "plt.plot([4, 15], [0, 22], \"b-\", linewidth=2)\n", + "plt.axis([4, 15, axes[2], axes[3]])\n", + "plt.xlabel(\"$z_1$\", fontsize=18)\n", + "plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", + "plt.grid(True)\n", + "\n", + "save_fig(\"manifold_decision_boundary_plot4\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# PCA" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure pca_best_projection\n" + ] + }, + { + "data": { + "image/png": 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ybAvH5MyZMxk0aBCgzSJJSUlpqPlR/621vdtTpkzhxx9/ZO7cuWzatImZM2fy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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "angle = np.pi / 5\n", + "stretch = 5\n", + "m = 200\n", + "\n", + "rnd.seed(3)\n", + "X = rnd.randn(m, 2) / 10\n", + "X = X.dot(np.array([[stretch, 0],[0, 1]])) # stretch\n", + "X = X.dot([[np.cos(angle), np.sin(angle)], [-np.sin(angle), np.cos(angle)]]) # rotate\n", + "\n", + "u1 = np.array([np.cos(angle), np.sin(angle)])\n", + "u2 = np.array([np.cos(angle - 2 * np.pi/6), np.sin(angle - 2 * np.pi/6)])\n", + "u3 = np.array([np.cos(angle - np.pi/2), np.sin(angle - np.pi/2)])\n", + "\n", + "X_proj1 = X.dot(u1.reshape(-1, 1))\n", + "X_proj2 = X.dot(u2.reshape(-1, 1))\n", + "X_proj3 = X.dot(u3.reshape(-1, 1))\n", + "\n", + "plt.figure(figsize=(8,4))\n", + "plt.subplot2grid((3,2), (0, 0), rowspan=3)\n", + "plt.plot([-1.4, 1.4], [-1.4*u1[1]/u1[0], 1.4*u1[1]/u1[0]], \"k-\", linewidth=1)\n", + "plt.plot([-1.4, 1.4], [-1.4*u2[1]/u2[0], 1.4*u2[1]/u2[0]], \"k--\", linewidth=1)\n", + "plt.plot([-1.4, 1.4], [-1.4*u3[1]/u3[0], 1.4*u3[1]/u3[0]], \"k:\", linewidth=2)\n", + "plt.plot(X[:, 0], X[:, 1], \"bo\", alpha=0.5)\n", + "plt.axis([-1.4, 1.4, -1.4, 1.4])\n", + "plt.arrow(0, 0, u1[0], u1[1], head_width=0.1, linewidth=5, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", + "plt.arrow(0, 0, u3[0], u3[1], head_width=0.1, linewidth=5, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", + "plt.text(u1[0] + 0.1, u1[1] - 0.05, r\"$\\mathbf{c_1}$\", fontsize=22)\n", + "plt.text(u3[0] + 0.1, u3[1], r\"$\\mathbf{c_2}$\", fontsize=22)\n", + "plt.xlabel(\"$x_1$\", fontsize=18)\n", + "plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n", + "plt.grid(True)\n", + "\n", + "plt.subplot2grid((3,2), (0, 1))\n", + "plt.plot([-2, 2], [0, 0], \"k-\", linewidth=1)\n", + "plt.plot(X_proj1[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n", + "plt.gca().get_yaxis().set_ticks([])\n", + "plt.gca().get_xaxis().set_ticklabels([])\n", + "plt.axis([-2, 2, -1, 1])\n", + "plt.grid(True)\n", + "\n", + "plt.subplot2grid((3,2), (1, 1))\n", + "plt.plot([-2, 2], [0, 0], \"k--\", linewidth=1)\n", + "plt.plot(X_proj2[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n", + "plt.gca().get_yaxis().set_ticks([])\n", + "plt.gca().get_xaxis().set_ticklabels([])\n", + "plt.axis([-2, 2, -1, 1])\n", + "plt.grid(True)\n", + "\n", + "plt.subplot2grid((3,2), (2, 1))\n", + "plt.plot([-2, 2], [0, 0], \"k:\", linewidth=2)\n", + "plt.plot(X_proj3[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n", + "plt.gca().get_yaxis().set_ticks([])\n", + "plt.axis([-2, 2, -1, 1])\n", + "plt.xlabel(\"$z_1$\", fontsize=18)\n", + "plt.grid(True)\n", + "\n", + "save_fig(\"pca_best_projection\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# MNIST compression" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sklearn.cross_validation import train_test_split\n", + "from sklearn.datasets import fetch_mldata\n", + "\n", + "mnist = fetch_mldata('MNIST original')\n", + "X = mnist[\"data\"]\n", + "y = mnist[\"target\"]\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "154" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X = X_train\n", + "\n", + "pca = PCA()\n", + "pca.fit(X)\n", + "d = np.argmax(np.cumsum(pca.explained_variance_ratio_) >= 0.95) + 1\n", + "d" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "154" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pca = PCA(n_components=0.95)\n", + "X_reduced = pca.fit_transform(X)\n", + "pca.n_components_" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.95036230847692105" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sum(pca.explained_variance_ratio_)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "X_mnist = X_train\n", + "\n", + "pca = PCA(n_components = 154)\n", + "X_mnist_reduced = pca.fit_transform(X_mnist)\n", + "X_mnist_recovered = pca.inverse_transform(X_mnist_reduced)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def plot_digits(instances, images_per_row=5, **options):\n", + " size = 28\n", + " images_per_row = min(len(instances), images_per_row)\n", + " images = [instance.reshape(size,size) for instance in instances]\n", + " n_rows = (len(instances) - 1) // images_per_row + 1\n", + " row_images = []\n", + " n_empty = n_rows * images_per_row - len(instances)\n", + " images.append(np.zeros((size, size * n_empty)))\n", + " for row in range(n_rows):\n", + " rimages = images[row * images_per_row : (row + 1) * images_per_row]\n", + " row_images.append(np.concatenate(rimages, axis=1))\n", + " image = np.concatenate(row_images, axis=0)\n", + " plt.imshow(image, cmap = matplotlib.cm.binary, **options)\n", + " plt.axis(\"off\")" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure mnist_compression_plot\n" + ] + }, + { + "data": { + "image/png": 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F05Nw43K5AADxeBwzMzNYWlpCIpGARqPhmQkA4HQ6AdzV4tcKspM/Vzqdjhex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B3NwcGhsb8dZbb+G1117D8ePHd2lXnl6IdWWKqt1uN9bW1uB0OqHX61FXV8cTsOiwF6NqSvvS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\nY9AAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 4))\n", + "plt.subplot(121)\n", + "plot_digits(X_mnist[::2100])\n", + "plt.title(\"Original\", fontsize=16)\n", + "plt.subplot(122)\n", + "plot_digits(X_mnist_recovered[::2100])\n", + "plt.title(\"Compressed\", fontsize=16)\n", + "\n", + "save_fig(\"mnist_compression_plot\")" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "...................................................................................................." + ] + } + ], + "source": [ + "from sklearn.decomposition import IncrementalPCA\n", + "\n", + "n_batches = 100\n", + "inc_pca = IncrementalPCA(n_components=154)\n", + "for X_batch in np.array_split(X_mnist, n_batches):\n", + " print(\".\", end=\"\")\n", + " inc_pca.partial_fit(X_batch)\n", + "\n", + "X_mnist_reduced_inc = inc_pca.transform(X_mnist)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "X_mnist_recovered_inc = inc_pca.inverse_transform(X_mnist_reduced_inc)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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585iYmGARUrFYxOrqKv7nf/4Hc3Nz8Hg8eOutt3D69OknJhAjpuarr77C7du3\nmVOlUCgwPDwMu93+zBvvnSCkzWlRFHa/4v8mzG3TbmRGo5EJhoiWBu5HiMB9AVqnzwpP99LnSHeR\nSCQglUphtVohFouZEpqc41QqhWw2y8auUCjgcDgwOTmJ48ePQyaToV6vMzU6MUZEse6n5JWcDCp/\n4p9tEsWpVCq43W6MjY3B4/G03O+8caxUKsyp3NrawtraGvx+P9Mi8PQ+MU7Cxiw7gdIJpF6vVqus\nwxuJaqljJt/hjErvaFe0np4e9Pf3w263o6enBxaLBQAQi8VYzwXS8dhsNsYk7iUSo2tM1D45kXTO\nQrEe1cmTU0mvk0agXC4jFovB7/fD7/cjm80yUbXD4YDZbGZRPuXG+RLIvfBcG3CaZJlMxmoVDQbD\nY1kMs9ksQqEQtra2WF71/fffRzQaxerqKkKhEMrlMmQyGV544QUYjUYUi0V88MEHcDgcOHr0KMbG\nxqDT6Q58bD6fD9euXWPlDDzEYjHUajWjpvZCPp/HN998g7m5OYTD4bZKbqKbO2U/qL721q1buHbt\nGpaXl+Hz+eD3++H1elsazohE23Wder0ebrcbw8PD8Hg86O/vx8DAAMbGxpi4qFwu4+bNm/jjH/+I\ny5cvo1arYXJyEmfOnMHAwMCBiuz2A2rwsrS0hGQyiVqtxnJvx48fh8vlemJjOyzwkTDRhbwgi6Jm\n4D7FKywLI6rdYDDAZDLBaDSyVsVUwgXcN277ib7pc+0iS+qLkEqlGNM2Pz+PbDaLra0tVhdOHbZU\nKhXL3ZvNZrhcLoyOjrJObjy1S5URpVKphUbtZKzUJY32UiClM99URKFQsA1f+LatxHLw9ef1eh2B\nQABra2sIBAJMZEbfRXoPyi93kgOnNFg4HMbm5ibTL6RSKUSjUWSzWZaKonGq1WqYzWZYrVbYbDaW\n6yZqn4KM9fV1llZrNptwOBzo6+tjGyrtRZ8L7w+iwGkueEElRfJ8WRkZYD7VUigUEAqFEIlEWBrA\nYDCgt7cX/f39sFqtkMvlLczHfhzM59qAA61eOu11+zgirWQyiY2NDVbaFQwG8dVXXyEcDqNQKMBk\nMmFkZATHjh3DuXPn4HA4EAgE8NVXX7FShMMap8/nw9WrV9vWfu8XxWIRc3Nz8Pv9bbu1Uc2p1Wpl\nXnInx7x79y7ee+89vPfee9jY2GBGmygtorUo/+VyuXD69GmcPXsW09PTsFqt7MGm3ODm5ia+/PJL\nfPDBBwhx7VheAAAgAElEQVQEAhgdHcXExARGR0dhNpsfeS4eBkTH3r59GxsbG8xo2e12zMzM4Pjx\n43A4HE9kbIeNdmplur60oAnFY/zCSY4hNUShaIlyq/xiuJ9nSVjmRgac76DFl2iRqpyMLwmn7HY7\nhoaGoFKpWF22SqWCXq9nZUN0X9O5EdtGteD7MeBEocfjcdZnn5xm3kDwzWh45oMMFAnqALDcLVXE\n8CwJnYvNZtu1xJHXIlD5XCgUwtLSEoLBYEvKgQw31cobDAZWatXb2wun0wmTycQ63lFePhgMYn5+\nnnWVpHx4b28vc6J4p3Cv6847lfQ5YnJ455Bnj+i+EzI1fOkqNdDp7++Hy+VirBGlFMhedQ04h3q9\nzjomPa7tRCnSrlQqWFpagt/vR6VSwfj4OP7yL/8Ss7OzjB7V6XTMexaLxYjFYlhfX8fY2Bhrr3iQ\nSKVSrNTqsOHxePC9730P3/ve93D27NmOPpNMJvF///d/+OSTT7CxsdHSU5oU5D09PRgdHcXMzAxm\nZmYwODgIk8kErVbL6CsCpTM++eQTfP311wgEAtBoNHjllVfwi1/8Alar9YlFuLlcDoFAADdu3MDm\n5ib7+5kzZ/CLX/zise1I97jBC7Uob0j9wCmaI30FGWoqD6LIkZpg0H7Xfr8f/f39bDGt1+uMCt0r\n+moH3vDwm2pQbTJtYZrP56FQKGAymTA1NYXp6WkW+dntdmQyGSwuLkIsFjP6OBwOQ6lUMsWxUqlk\n9y05IkKxWCfjJbU7AHYsKk8SphTo72SUiBbnjRZFjTQ+ei8J3JxOZ4sh2s3hIBaC2Mm1tTVsbW0B\n2Hb0LRYLzGYzE55ZrVY2hxaLhfXx4MvyKpUKEokEbt26hVu3bsHv98NsNsPtdmN0dBR9fX3QarVM\nU7SfMmJhSRcZVp4tEqYeqOwO2C6xXVlZgd/vRyqVQrPZhEajgd1ux+DgIOx2O+u+R8EP//lO8Mwb\ncGoWTxeFSoPm5uaYYIAaenz22WfQarW4cOECmzjqotOuNvtRkEgkmNGmcobZ2VmcOnWK0eNms5lF\niaRGtVgsqNfriEajh2ZgSWQBPFptdjAYxI0bN3Dv3r0ddzEbGRnBa6+9huPHj6O3t7ej41JUSgIW\nADCbzejv78eRI0cwMjICt9sNm80Gl8vVsqVhO+RyOayvr+PSpUu4e/cuFAoF3njjDbz88stM3f24\nDTjlGD/++GP87ne/g9frZdShTqfDwMAARkdHH2vjoccFfq7pXqS9tIld4aM1Wjzj8Th8Ph+Wl5cR\ni8VYD+poNAqv1wudTgeNRsNykRTN8WVU+zHi/PtpbKQup65qSqWSGZmBgQEMDg7C4/GwmmOKZumn\nWq2y3trkVFAbzWazySJZev9+rz3PTggZDJoDugb81pV8vTfl0n0+H6LRKOub3mw2WatQg8EAp9OJ\n0dFR9Pf3MwO+F4VOOW9q0arRaBilTE4PGWvqLU8bv/DlZsQgkJjw3r17SKfTMJvNOHr0KGZmZjA8\nPNyinm9nwNuNl17n27nSfNHr/HH4+4Q652UyGfh8Pty7dw9bW1usQob2VSfHguaU0kF0zfmU0W54\nJgw4qRZ5uonoJ1JU0w24urqKpaUlzM3NsWYJzWYTiUQCt2/fhsFgwOTkJLRaLcrlMoxGY0tjkoNC\nPB5nwg+Hw4GzZ8/in/7pnzA9Pd221lgqlUKtVsNqtaJarSIaje6rHnA/IOprp6Yr9Df+YSfQzVso\nFHD79m386U9/wtzc3AMGnOopR0ZGcPr0aTidzo4jSUp5GI1GZDIZaLVajI2N4cSJE3j55Zdx9OhR\n9Pf373kcKtNbX1/H1atXcfXqVWSzWYyPj+NnP/sZTp8+/URqqyly8Pl8+OCDD/DrX/+avUb95ymq\neV7FawTqtkX0KZXrUHkY9fGm93q9Xty7d4+prMnYxONxxGIxZvDpuSGjBHRePsaDjkOLa7lcRiaT\nYUGDxWLBxMQExsfHMTAwAIfDAa1Wy4wU0aN0bhSBUoMQaqVarVZRKpVa1On7ufa8foBPNZBzxPfv\n5vPc5CgplUrIZDLWg8Ln82FhYQFbW1usR3oul2PnQqWjw8PD6Ovrg16vbxEQtgNfVUIlbXa7HW63\nmynjLRYLaylMazrVR5Oojc6XdvqjKFcikWB0dBSnT5/GxMQEHA4HSw2Qs0ef5X/vdN35+4gv86PA\nSqjCpzmlXQRXVlawurrK+swTy9Db2wubzcaqAPjInU8fdXKvPhMGnHZvWl1dhVgsZi0+19bWcP36\ndWxtbcHlcsFiseDLL7/E2toaNjc3USgUmPeu1Wpx6tQpvPnmm/B4PIyyJk/5MMbs9XohkUjw+uuv\n4+/+7u8wOTm5IyVOD7hWq2V1o7T71EEbcKK12zVdIS95t+g/l8vhxo0bePfdd/Hee+89wBbQZifj\n4+MYHR2FyWTa12Ikl8vhcrkwMzODqakpXLhwARMTE3C73TCZTB2nFUqlEubn5/H73/8e77//PtLp\nNM6cOYOf/OQnOHbsGEwmU8djOmikUil89NFHuHv3LvsblRRduHABR44cee72TxeCjAc1ZKFaWolE\nwqLcRCLBngHaujOTybDe88RY2O12uFwuZkjI0LRTR7dzTHcaH9/+VCQSsf7Y1P7U6XTi2LFjLXu1\nU390EjyRw6zT6Vh3NGC79z11EyOlOG9c+Ih5N/C0LpVOkrPA13ZTS1dKL1AznHK5zDY6yWazWFlZ\nwe3bt9kWw+RoFItF1vfB4/FgeHiYOZr7UcyTqJii0f7+fvT19cFgMDBHgpwtvjSw2WwywV+lUoHX\n68XNmzcxNzeHTCaDoaEhHDlyBOPj46w1MvUGoJK1ToWMdM9RMMP3JuDnnH8vrzq/ffs2FhcXEQqF\nUK1WIZfLYTQaW86V2A5iQIQ91p8bA04XwOVyQalUMmqlr68P9XodIyMjLfnPW7du4erVqwgGgyiV\nStDpdHj11Vfx+uuv49ixY+yh4W/8gwY1l3A6nZiensaRI0fYhhTtQHWabrcbfr8fPp8PuVyOiUoO\nEjabDSMjI7h+/foDBjyfz+PKlSusY5xQUEEe+h//+Ed8/fXXrBsSj/HxcZw9exYvvvgii3L3QwVS\nmmNqagoikQhjY2MtStJOrhdtcPDOO+/gk08+wdbWFqampvDqq6/iBz/4AXp6eg51n/XdEIlEcOvW\nLXzyySdYW1tj52OxWDA9PY1XXnkFo6Ojj33TnScBYbRMDjUtbhRRUkMMKi2kZh0qlQqjo6OYnp7G\nyMgIDAYDY65owe2km9lOYwNahV7UGrlWq0Gv16Ovrw9utxtGo5ExPlRSRLQvAKamjsfjLH9OTgZR\n2bzBAO6L5va633ljQhtpaDQaVo5I60epVGJlbsT4EbupUqlQrVaRSCSwuLiI1dVVhMNhlMtlZviU\nSiWsViuGh4cxPj7OjDff3Ww3o0NBCjWnkkgkcDqdMJvN0Gg07BwoyhZGtqSFKJfLiEQiTHGeTCZh\nt9sxOjqKkZERaLVaNBoN5qzwEXQna0c7ip1v08sfhx+bWCxm4uW1tTU2fxR5DwwMYHh4mK09VGnA\niwZ5mr+TsT4TK4RMJmPlF7QbDgD09PRgamqq5b2nT59mwpGbN2+yfXp/9KMf4dy5c4x6pck5rD2W\nKTqYmJiAx+PpKNpTKBQYHR3FtWvXEAgEWJ7ooA045Zwo98ufP5WFAdssgtCzrlarCIfD+Oijj1o2\n3ADul6CdOnUKf/3Xf43Tp08/VBmcVqvtWPC2E2i3satXryISicDhcODVV1/F7OwsJicnH+nYj4pA\nIIBvvvmGsUf0EA8PD+PcuXM4c+ZMx3qBZx1kwBQKBYseSVlOTAtFZZTySSaTCAaDrCRnfHwc4+Pj\n6O/vb6E3eSoZeLB0bS8IozUST1GkazKZmMpZLN7eC5oCBnpm6dkidk0k2t7li3bKonQab7zo+/bj\nfJAB0Wq1sFqt0Gq1LeJAikYDgQCAbaGoRqNhLAippskApdNpVkdOBsVisWBsbIzpUCwWCxPCtSu3\nE4JSlRaLBRaLBVqtlvViJ2qdF9HROQkFiFSG5vV6kclkoNfrMTU1hcnJSTidTkavk/EmaroTJ4Pm\nUljOJWzYQu/jVeNU/hoIBBAMBpHNZiESiaDT6eByuVj9PUXfwuoKahEsdFp2u1efCQNutVrZPrud\nUIrlcpltKADcb/fJU69EzRC9cdAQi7cb3X//+9/vqDc5sG3Ah4aGYLFY2IN2GCAWQ6PRMGGNEPPz\n8/B6vQ/cPPTAt2vYolarcfLkSVbKddC6gv2AKg5eeeUVnDlzBgaDAa+++ioGBwef2JgI4XAYS0tL\nbIGk7W5ff/11vP3226yn9ncBtLOVXC5nRpsiWHLW+b7SpM4mdTTt6ETqZMqT8t2yhFHSflTI9Jtv\nnUkMltVqhcPhYHls/rspZ1utVllPBbvdjmAwiFgsxhoR0T1A4xLWq+9nvCKRiAlhtVptS5RPz204\nHEYymcTy8nLLftpkQIlSpzaltBmKVqvF+Pg4jh07homJCVgslhYRXKfXmgw4VRVotdqW+mpiXPga\ndbqOZOAoPUEd2Gw2G8bHx2G1WhmrAICVFvJMDN89bTfQ/Sa8b3g2RliKRyV8sViM9bhXKBSwWCwY\nHBzE+Ph4y/1Cc0JrMOkVeKdgL0fzmTDgnRpYEixQbpwoJKJeeONPiwRFPweN2dlZGI1GvPTSS+jr\n6+voM9TV6TCat/Do6enB+Pg4nE4notHoA5E0sO3lCnuL7waz2YyJiQm89dZbOHPmzL7z3gcNg8GA\n0dFROJ1ONBrbGzoMDg4+0Q1BqF3ql19+2bIHu0ajwZkzZ3Dq1CkMDAw8l2VjO4FvQUuUMy/iISFW\nvV5nHbtisRiSyWSL0punn/n6XaB1X296X6e5ZVpAyTBrtVr09/dDLpezDUFIN0JpMDJsFNlS3lav\n1zOjyNPO9D3CCK/dOPYaL+1wZbFY2Da3NLe0qUa1WmVd0EQiUUs3Q34M9KPVatHb24uRkREMDAyw\n7ZCFbWv5/LBwXPSbnDEqb+OjYrpGpBoXfp6iVZ1OB6fTybZapR3BaB3nj0P0v/B67zaf7e4dPt/N\nH4uU8dRnwuv1srKxRqPBelQMDQ3B5XKxVAUJC3nHjejz/aQbnwkD3imokcHKygpu3boFAIyOo8ki\nkOdzWFHi7OwsZmdn9/UZiUQCo9HINp0/LFitVkxMTODo0aMIhUJtDfh+4XK58P3vfx9vvPEGBgYG\nDsUp2g+sVmtHO789LtTrdSQSCVy8eBGffPIJE6/J5XJYrVa89NJLmJiYOJS6/6cNwgWQDCsttnzJ\nD1/vS8abhGx8i2E6Lq+R4KnzdgKmTqhUWjPIqKnVala2SFEqOQT81p98WREFD8Qq6PV61vucDNdu\nY9pLeMU7PCqVijED1Ja0XC63dGCjLUABsOYjQsU3pQClUimrqybjTfXrwha1nYDXNPC0MdXs01zz\nW//SudNnDQYDa5PKsyt0vXnFOB1vP8Iw+j7+/fz1IXaA5odSD2tra0wRn81modPpWO6bRNbC0j7h\nMYH7DuhzkwPvFJSf5elds9mMoaGhlh1fnlbwbUwPu/7XaDTi7bffRjQaxeLi4iMdSyqVYmRkBN/7\n3vcYtdZFK/L5PLxeL95//30sLCywv5OOY2pqCj09PU9whE8OPEXJU6d8KRVRn2TcZTIZqxEmqpQ3\nAHxku5eB3G1c9Bky4FKpFBqNhjWbIYPN70BHY6TzyefzjMKmfecpcBDWJvPCrU4WcP4zlFIgo0ER\neDgcZlofWlMooKFolfpRVCoVtukKRbaDg4MYHh5mOW8yQEKD0+lY+WtNtD1F3HRMYRMeAC1UO50H\n0c6klBeWy9E14VmOTscJoOU8yWEhNoacx1KphHA4zPYsj0ajUCgUsNlsrDyO32qWV7Tz9xb9bT+C\nu+dqpSVvkXbnCofDMBgMTLb/pKPCvSCRbG9UPz09jXw+z/J9hwHatOTHP/4xxGIxrl+/jnA4jGw2\n23Fey2azYWhoCFNTU3j55Zdx7NixFjVpF/fh9Xpx+fJleL1eJm5RKpU4ffo0/uqv/goej+c7EX23\ngzA64g0wv4DzeXISQtEOfe0atbRbuPcTiQkXUL5JCh/1k9PB50T5na/oNaVSCZPJxAR7fHS5U667\nU8PI5/ppB0OqNfd6vUgkEix3LPw+Oh86Bm0Y4nQ6WY324OBgy9bCvHO0l7ERlvDxeWiKvvnzJa0D\nn1bgjTHdE3Q9eKMHgDV6EUbk+3GK+Aicd5B4NbpIJGKd4DY2Npj4TyKRwGazYXBwEIODg6zfOX2e\nZ3Z4h43SR/txiJ4rA057WR87dgyzs7NYXFyE2+3GxMTEnvtaPw2gCJw2N9HpdIeikAfu1xy/+uqr\nGBgYwG9/+1vWj5tENnweiuh9XpV+9OhRXLhwAa+99hrz0LtoBeXH5ubmcOnSJZYbk8vlsNvtOHfu\nHH7yk58cetrkaYLQoAL3DVC7+50WdMrvkpbBbrejt7cXarWa5XL5iImPoIXft9f4hOAXcf64PE3L\ndzUj6pwMJrDdhYv2jScBKZ0fT4PzjsdO4xGOjcYgFovZrmdEN/f09MDr9SIQCLAOcrzjQalEMhzU\nh2F4eBiDg4Ow2WxMKMiPVSi06mScvDHmhWA8G0AGl3eM+Lw8UfBE/Qtz3bwBb2e4dxon/3deQMcb\nWfouWgdpAxuv18vKlvV6PdsCemBggJXN8ecqvNeFDlUn8wk8ZwacQI0wSqVSi9jkWYHH44HT6WS5\n+8MARQlmsxkzMzPo7+/H4uIirl+/js8//xx37tzBxsYGe7/RaMSbb76J3t5exmQcOXIEx48fb9k4\npItWFItF3Lp1C59//jmuXLnChIFarRbnz5/H1NTUc9ku9WHBR4ONRoM14qBNII4fP47h4WGUSiW2\nmQ2pqWmBFYrUHtUJ5g0Ab2gJtO0k70RQjpmUyNQzW61Wo1AoMNpf+D387/2AV8qTEadmKdRymBpE\nhcNhJBIJ1imODI7NZoPRaGSOEv2ftvLkHUwyOPtRydM46TcZRWIr6BrupBSn8+P7TggNtLCOXugM\nPQx4poGuNbD9bIfDYZb73traYhoEj8cDj8fT0oud73D5MMa6HZ5LA240Gp/pUhzqz36Y4Ckwyieq\n1WpWIrO5udkibtNoNHjhhReYNwmAbe23ny5M3zXUajUkk0m2P3Sz2YTb7cbJkyfxxhtvYHx8/DsT\nebdDO8UyLZYUTQH3O2HRfcobK6FYqd1xH3V8OzkEZDjJWNC15NkAiiqpvTBwn9YVUv7Cse/nPIRG\nnIwuCXkpvZjJZJDP51vKxWhHMcrrqlQqaDQa5njsZIA6GaMwsuUhLNOiqJxPVfCRPt8LvZ1xFtLT\n+2EIdhozD7onqY037WGezWahUqnQ19eH0dFRDA8Po7e3FzqdrmXcfCqgneJ8v/ftc2nAu3g4kHL7\nhRdeeNJDeW5ACmoS3+h0Opw8eRJvvvkmZmdnv9PCNeDBBZ0XndECzOeRKVLjI2Fho5bDAu8ctDPi\nQkNEP/zGQRRxCiPGg4rI+PmgCJk2XDGbzfB4PA9Qt1SKR2OlGmW+pE+ITkvxdkI7w0rGkQw0idh4\nlTn/I9RI0LGE989+jfhODgf/3dRSN5FIoFwuQ6VSsbQDdamjYIfKxijFIixLe5T7tmvAu+jiMUGn\n0+Hll1/GW2+9hddffx0mk6mr2BeAF4MBYHlQnnptR4kKo7DD0o7Q8fkxCIVcNF7ekJIDB7SWXB3G\nOHmHgh8DT1fzIi3gfjkZGRqhEeNz0Ac5buExeQPMG3B6Ly/843+E9we9h//9qBCK2UgXNDQ0xFrK\n9vX1sTQjNZ0hRkFY438Q4+quHl10cYhQKpWYmJjAz3/+c3z/+9/HxMQEpqen0dPTsy+16fMK4fnz\nudHdaNq9qPLDmNd2x+QNodCoteumddBGZSfspLTnjTFv9HhxmXDfa/6zj4p25y00vsKGMLzoDWjt\nEb8bk7PX9z4sSGNAbXBNJlNLOoJa6ZLKXiiC2ykv/zBjFB2mp7pPPDUD6aKLZxhPnUewvLz8nXu2\nd1pXn0aHTajQ552jx+lwCP8vNHLt5vRxzGe7sQmjcWEXwHbg9R0PY8BHR0cfeEM3Au+iiy666OKx\nGetO8DSMYScI0ydA51vUHvR5dQ14F1100cUh42k3SM8CntQ4d/veJz13XQPeRRddPJM46Pzso4AX\nU/E/Qhq6XUOZJ2UE9sob7/beTj6z33EIlf075YqFteTtxvIkqHX+e3d6Tfj6bvdtJ+fQNeBddNHF\nU42dSoF4o8k3/2i38D9q2dNO4Ou/yaBQvS9f9kblTrwimf88cLhOyE5GcLf3C1X1B11jLxyPUEzH\n14jTe/jSQeE87qeH+EGPHWjfepfGx28WA6ClLnw3Z2UvdA14F1108dRCqEpuF9nyCzoZU2qxyZdz\n8Quq8DseZWx8b26q+S2Xy6jX6y37UVNZF/X/5ndO48+PzulRx7dThC0scxMKq/gxtGtPu9++4nuN\nja4LX8YGgO0FT9vM8o4SfY7Gwe9wxh9TiIMsKROex273JD9vdH+Uy2V2L7crmesEXQP+mFGtVlEs\nFhGNRlGpVCCVStHT0wO1Wv3Ub7ZCoL2ZS6USyuUyCoUCq4vUarVsu7+DRD6fRyaTQSaTgVQqZTvL\nkRdLG1oQhAsSbfJAi8HTjlwuh3Q6jVwuB7PZ/J1q+LITFSrsbgaAtU6l5h/838moPmqzjJ3GKIya\nKpUK8vk82zik0WhAr9ezZirA/ZpwfnczvlyqnRK8k8h3p4i6nSPAG2Z6Zug37RBWKpXYD42VNmGh\n1qoPwxwIaXJyaCqVCorFIgqFAvtOakFLG7/wXdn43vP8drT8JjP0m3f49pM22Ot9u7EFfNMXcixE\nou3NTzKZDNLpNNtsRqlUQq1Ws/3R99NWuWvAHzOSySRu3ryJ//qv/4LP54PNZsO//Mu/4NSpU3A6\nnU96eB0hm83iiy++wPLyMlZXV3Ht2jVks1kYjUZcuHABP/7xj/HSSy8d6HfOz8/jo48+wkcffQSr\n1YqRkREAQCQSQT6fx9jYGNRqNXs/PfzUCUmpVOKll16Cy+WCXq8/0LEdBm7evIkPPvgAn332Gf7m\nb/4G//zP//ykh3ToEFLkfKRFXcJo0eY336D385QqLexCev2gaGBhlJrP5xEOh+Hz+bC0tMQczdHR\nUYyNjUGlUkGtVrMOY83m/f3Dgfs7aAnn4WGcD/4825VjUWRIc0QGplAoIJFIIBQKwe/3Y3NzE7FY\nDM1mk+1wNjg4iP7+frY9c7s9tzsBf01zuRySySQikQii0SiSySQLbhQKBXNyqJe8XC5nm53IZDK2\ne5rZbIbRaGTOEm/k6fOPQrG3S9nw5y28H+n/5PDUajWEw2Gsr68jEAigVqvBYrGgr68PMpmsZW/7\nTtE14I8Z6+vr+PTTT3H9+nUEg0GYzWb8v//3/xAOhzEwMMB2AnK5XA9ElU8S1WoVyWQSXq8Xc3Nz\n+Pjjj+H3+xGNRuHz+VAqlaBWq9lmHc1mEy+88MKBReL5fB6hUAj37t3D0tISVlZWAGw7E+VyGaur\nqy2bQ9COQZR3lMvluHPnDiYnJzE9PY3jx48fOEvwqEin0wiHw1heXsbHH3+Mjz/+GMvLy/jhD3/4\npId2aNhJpCSkbIkO57cWbTQaKJVKrHMYv9jX6/WWPbD5KOhh8+FC0Rw/rkqlglgshrW1NSwsLCCb\nzUKpVKLRaLC+2WazGSqVCnK5nP2WyWQtzT54Wn2n2mgh2kW1PPPA08t8y1diKWq1GjKZDDY3N7Gx\nscH6e4fDYcTjcbaPeTqdRqVSYbvD0Q/QuoXnXnPLR96FQgGxWAybm5vMsCUSCcZayOVyxliIxWJo\ntdoW1kUmk0GtVkOv16O/vx+Dg4MYGhpiRpMcFbp++zXePP1N/+epe35TF3qNzpGuZbPZRDqdRiKR\nwPLyMpaWlrC5uQmVSgWpVAqn0wm1Ws2YBuEe8fS97fDcGnC6SbLZLDMqRMfwOZXHNZZ6vY5yuYyF\nhQVcvnwZqVQKAFAqlfDpp59ibW0Nvb29UKlUOHHiBF588UW43W5otdonTq1Xq1WkUincuHEDn3/+\nOb744gvcuHED2WyWvUckErFtM+mmdblcLAp+VPDXKhqNIhKJtLwWDodb3i+8+cViMb766itMTk7i\nBz/4ATwez1NnwH0+H7744gt8/vnnuHr1KtbW1thC9DyjXW6W729OhkYYReZyOeRyOTQaDajVauh0\nOjZXZDgbjQaLbug+FHbH2ivKFVLl/Dhp0S4Wi4jFYggEAtjc3ESlUoFGo4Hf70cymcTq6ipsNhsc\nDgf7kcvlUCgULSIxvk+2sI1sJxQ6zZ1wm04+pUDRKEWFmUwGq6uruHfvHlZWVhCPxxmVXSwWW9Jk\ncrkcarUaJpMJOp2ObdbB6xM6ofMplVAsFpFKpRAKhbC6ugq/349UKsV2mZPL5chmsyyXrNVqUavV\nGBtDfdzFYjGGhoZQLBZhNpuZ8a9UKi3zuhOVvte1F+7fTXNLf+NZIHqdnMlisYhgMMicu7W1NSQS\nCTgcDgwNDbF7V6lUMpFjp9f9uTXg9IB//vnnuHz5MgBgYmICx44dg9vtbnnYDxv0kCwvL+P69eu4\ne/cuSqUSdDodNBoNNjc3EQwG2Y146dIlTE1N4Ze//CVOnDiBvr6+xzLOnUDG+z//8z+xsLDAcnzt\n0Gg04PV6ceXKFfzFX/wFDAbDU7GVK0Vrd+/ehVwuxy9/+csnPaQH8PHHH+M//uM/kMvlkM/nIZfL\n4Xa7n9t91tst/EJqEnhQTEVsUCAQYI6byWRCT08P24mQHJ9ms8n2EgeAcrnMRGQ8rbrXOHnDym9O\nAWznvoPBIDY2NhAMBlGtVqFWq2EwGFCpVLC+vs4i8r6+Png8HkxPT2N4eBh2u/0BqpecAn4OOmXi\nhOwj/0YAACAASURBVOI0ygtTxFur1ZjxFovFSCaTWFlZwbVr17C8vMzGT/S1yWRi81+v1xGPx+H3\n+9lWowaDgR2LvqfTa8/3ZOeNMnC/nSuptSnlwN8jxGA0m03EYjEA2zs5joyMQK/Xs/WUvovfrnQ/\nDAyNka8g4NkX/v6k8yeHsVarIRaLYXl5Gbdu3cLi4iJjGKj1ql6vZ5oeErjRvbDXdX+uDDhd3K2t\nLayvr2NpaQmff/45rl+/DgC4fv06Ll++jIGBAczOzuLMmTOHFonX63Vks1ncvXsXgUAAgUAACwsL\nuHr1KpLJJOr1Ol588UWcOXMGly9fxsbGBuLxOBKJBJLJJIrFIpxOJ3Q63RMz4NVqFYlEAp999hne\nf/993LhxA7FYrGWziXbI5XLY3NzE0tISnE7ngRhwk8mE/v5+xkbIZDKYTCZ4PB64XK4H3h8MBrG5\nudny8NHCpNFonprUBAAUCgUsLS1hbm4Ofr+fLQxmsxlnzpzB4ODgkx7ioUBISfO5Svob/55arYZc\nLod4PI61tTWsrq4iGAwC2N5f3WQywWg04siRI5iYmGD7MNNimc/nkUwmkU6nGeWu0Wha1MvC6IyP\nwIi6LZVKSCaTSCaTTFzp9XqxtLSEeDwOnU6H/v5+9PX1oVqtIhQKYXNzE9lsFoFAAJVKBSqVCnq9\nnm2CQcavXcnUflgC/hx4dTzt8kUGvV6vs5QURYXECvIMQLVabfl3Op1mueq+vj5YrdaWDUY6ueY0\nLspjG41GWCwWGI1GZDIZiEQiWCwW2O12mM3mBxy5VCqFdDoN4P6OaRKJBHq9nm1/SuDTBsJru1dK\ngl87eAPOOwW8I8h/nl4jbcTGxgYCgQCSySTEYjGsViv6+/ths9nY9ri1Wg2lUgnVavWBY+6E58qA\n08W9efMmLl26hG+//RZLS0sIhUIAgLm5OcjlclgsFsjlcpw8ebLlZi2Xy4w24ikjp9PJPKROkc1m\nsbKygnfeeQdzc3NYX1/H+vo6gO1dqVQqFV577TX8/Oc/h8PhwM2bN7GwsIBbt24hn88jHo/jq6++\nwsmTJzE7O3uwE9UB8vk8otEo7t69i3fffRd/+MMfGF2514PK03JHjx7F6OjoI4/HZrNhcnKS7Wfc\naDTgdrvx6quv4ty5cw+8/86dO7hz5w4AtOTbFAoFRkZGWgRvTxK5XA4+nw8ffvghFhcX2UKj0Wgw\nODiI2dlZDA8PP+lhHjiExpundoWLI0VN+Xwem5ubjIr0er1MZEV7XtMiTjtENZtNlMtl5HI5RCIR\nhEIhpNNpKJVKGI1GFj0KW2IKx0rvqVaryGazCAaDWF9fRyQSQSwWQzAYRCaTgVgsxsDAAKanp+F2\nu1EqlWA2m6FWq+H1epFIJBAMBhl9SkIsvuSIZyM6icR4ip9/L1+2VK1W0Wg0WF4+mUxifn4et2/f\nxvLyMrLZLBMH8jXWpCOgsRDlnUgkkE6nUSwWO9bq8OkQiUTCHJdSqcQMXT6fh1gshs1mw/j4OIum\ngW32JJvNsjknepxe02q16O3tZddVKObjBWedROBCZkioeqdrxTt3/OfonEgQGI/H0Wg00NPTg+Hh\nYYyNjaG3txcKhQKVSgWVSoWlffh7cjc8VwY8m83i008/xe9//3v8+c9/ZpvW02JB3lo8Hkcul2MX\nkaLl5eVl3L17F3fu3MH169eRzWbh8Xjwb//2b/B4PPsay8LCAt577z384Q9/QCgUYnV/ExMTOHXq\nFGZmZnD+/HlYrVa8/fbbOHXqFL7++mv4/X6Ws3+SmJ+fx8WLF3Hp0iUsLi4in893TI8B20Y8Ho8f\n2LmYzWYcO3YMv/jFL/Db3/4WN27cgMvlwtGjR3H27NkH3n/s2DEUi0UA99Wo5XIZMpkMOp3uqSnL\nunnzJt599128//778Pl8bLGYmZnBm2++ifPnzz8z1Qmdgjc2/ALJlwqRkAcAi2RWV1dx8+ZNzM/P\nIxwOMxETUaskXCNRW6PRQDweZ8Y1GAwiFAqhWq3CZrNhYGCAUa27gR9juVxGIpGAz+fD7du3sbm5\niXQ6DalUit7eXoyMjOD48eNwu93Q6/VIp9OMTiXVdSaTYcaHqGo6X/4Z22+ull/wecMFoIVODgQC\nmJ+fxzfffIONjQ2k0+mW+aa8Mm2JSfNJzk6tVkOhUEChUGApCTq/TsYrTEkYjUbY7XbY7XZEo1EU\ni0VoNBr09vZidHSU5b0pMqVrXalUmHNCqnWNRgO73c7y+/we3MK57URTwIMoeLpf+JQECRnpuIVC\nARsbG1hYWMCNGzfg9XqRyWSgVqvhdrtx5MgRjI+Po6enp+V+5xvSdMIOP1cGvFarIZFIYGtrC7FY\nDHq9HiMjI+jv74dKpQKwnc/99ttvUSwWEQ6H2UNNk+33+xEOh5FMJmG32+FwOB4qVx6Px7GysoKt\nrS1G2SmVShw7dgw//elPMTIyglgsht/85jdoNBqIRCK4e/fujrnlx4F6vc5q1K9cuYKLFy9iYWGB\nUf4EinCUSiVKpRLW19dRKpVajlUsFnH79m2cP3/+QMYmk8lgNBoxNjaGnp4e1Go1RCIRFItFqNXq\nlnpaAGyrP+B+iQs9bE/THtyLi4v46KOP4PV62bUXiUSYnJzED3/4Q/T29rKymOcNQgNOOU8AbPEl\ntXmlUsHW1haLZDQaDRwOB2w2G8RiMYrFInK5HIrFIiqVCvx+P3uu19fXkc/nWcRI9PVOIqF2NCuN\nkQxwJBJBIBBAJBJBo9GAy+WCx+PBkSNH0NfXh1qtBp/Ph1AohHg8jmg0inQ6jUKhgEql0pIz5ZuY\n8BHdw5Q8tRMBkoEpl8sIh8O4c+cO5ubmWGBBhpRSChaLhanj4/E4KpUKgG0DRjXivPEmA99JZMtH\ns+RkyeVyGAwGptKnyJ8MNjlpfKqDv4f4+4WcA5rPdtf3YZTotL7w30d9B3jGg+rjY7EY/H4/7t69\nC7/fj0wmA4lEAoPBAKfTiaGhIdhsNsZ40P0vl8v3dC54PD0r2QGAVOelUglKpRJjY2O4cOECzpw5\nA71ej2q1itXVVfh8PsTjcXz77be4du0aFhYWsLKyAq/XC5FIBLPZjLGxMZw9exYXLlxoMQadolgs\nIpPJsAVJJpOht7cXx48fx+zsLAwGA37zm9/gf//3f5FIJFjum3I7dDEfZ9ORcrmMSCSCy5cv47PP\nPsPNmzdbFKAikQh6vR4ulwsXLlwAsK2c3tzcZNEQsO2ZlkolLC0tPaAOf1jQw2E0GqHRaFCpVLC2\ntobNzU3kcjnodDomGqEmM41Gg6k7qaTsaQEtjpQ2ocWaGvscOXIEL7zwwpMe5qFAmK8F0GLAKeVB\nNdP0N2psIxKJ0N/fj5mZGYyNjUEkEiGZTDKlbyaTwfz8PIrFInw+HzY2NgBsM3AqlYrdE1R3u9Ni\n2Y5+JSaHbziiUqnQ19eHkZEReDweyOVy+P1+LC0tYXV1lRluYgSpxJEMGBkfvgMZMRG8NmA38PQw\nHYueGZlMhlKphEQigfn5edy6dQsrKytszum5NZvNcDqdcLlcKJfLzOngo296tklwRnR7J3Qvz3jy\noj2KnA0GA2Mj0uk0mzedTsciaFLFU2kbCYGbzWbLuOie4Wu/O3EuhODZAl5wR+OnaJwatigUCib2\n8/l8WF9fRyqVQrO5XUtvs9nQ19eHvr4+aDQa5hQSG0PBBe/Y7obnyoAXCgXcuHEDGxsbMBqNeOut\ntzA7O4uxsTFIJBLk83lIpVKYzWZcvnwZN2/eRDgcRi6XYzfF9PQ0Lly4gJ/85CcYHh6G2WxmCtZH\ngVarxdmzZzE1NQWDwQCJRAKdTgej0Yhbt24hkUgwkQSw7e3a7fbH2nSEFr7//u//ZrWsfDmKRqPB\nhQsX8MYbb2BmZgYffvghLl68iHK5DKvVCofDwUSEyWQSWq1239qB3SCRSKDRaKDRaCCTyZBMJpk4\nZGRkBFKpFNlsltH+5XIZL7/8MiYmJuBwOA5sHAeBeDyOX/3qV/jqq69aDITNZsPf/u3f4syZM096\niIeOdosqH8URlUsRIACWAnE4HBgYGGDXPRqNotFoYHl5Gevr61hbW2NajHK5DJvNBqvVCovFgp6e\nHvT19cFkMjFqeT8gdTY1NFGpVBgaGoLL5YLFYkE+n2f1zVtbW0ilUkyZbrVaodPp0Nvby0qwhHMg\nLPvq1PDw0Tw51GT40+k0fD4fE9UWCgXIZDLGBhBbOTU1BbVazZzveDwOg8HAGItsNsucA2FU3EkE\nzqdFyMDyzVhIeEgUPVHjlFNeXV1lXSwpDdLX18ecMV5QJ5FIWvLzfCXDbuNs9xqvNq9UKiyHT3NI\nzaJqtRqSySSWl5fh8/mQTqfZ+0wmEwYGBuB0OqHX65kwkJhB3rHtNE//XBlwqVQKq9UKrVaLSCSC\n5eVlHDlyBNVqFcvLy4hEIkzGHwwGmadPEc/09DSOHj2Ko0eP4siRI9Dr9Q9Nt46OjuLNN9/EzMwM\nKxk7deoUJicn2THJg6SLqNFoMDw8DI/Hg5GREUxPT2NsbOwgp6gt6MYMBAK4ceMG1tbWkEwm2esK\nhQJ2ux0/+MEP8Morr2BiYgL37t3D6uoqcrkcVCoVm7PFxUXWJvD48ePo7+8/sHFSdOrxeODxeLCy\nssLEdiKRiOkYPvzwQ6yvr7Mo/ZVXXsG5c+eY4vNJU+jpdBrr6+u4evUqNjc3AYCxG0NDQzh16lRb\nZf3zCl6ZzCvQ6b6kiIpvllEqlZDNZpFIJCASibC1tYVQKIStrS3WBU2tVjPGZmBgAHa7HSaTiUV7\nWq2WGTl+4RSOjQdf/aDRaFAqlSCTyTA4OAin0wmLxcIifcptNptNqNVqDAwMoKenB1arFW63G1ar\nlUXbVK/O0+b7oVL5KJ3mk4wrpQu9Xi9CoRDLweP/s/ddz22eV/oPSBC9EEQjAIK9UyLVqC5Zsq04\ndhKXbLJJNpvZmZ3Z2ezFzuzFXu/M/h17tUlmZxLbsXcTxU2SrW6qS+wdJAECINF7Yfld6HeOX3wm\nKVIm1aIzoxELCLxfe885z3nOc/Dw2TYajWhtbcWuXbtQU1ODxcVFTmgo2LHZbAiHw6ySRsIjYm19\ns/X6tWD+iooKbjk1GAzM7vf7/aioqEAmk4HX68WDBw8QiUSwuroKl8vFwZLFYmGVNnFojFgmEdu+\nHnVexWMhpEJKtiwrK2PyGR1LIpGA1+vF9PQ0IpEIlwgMBgPX9KlGT8GTeM2lRLhH2QvlwJVKJVpa\nWnDv3j1MTk7iyy+/hMlkwtLSEvr6+uDz+VhliOBVm82Gzs5OHDx4EGfOnOEe8e9qra2tcLlcJWIS\nlZWVJRkpRXMUiVosFpw5cwanTp1Cd3c3Q0o7bcViEaFQCA8ePMDNmzeZeEbKRy6XC3v27MGvfvUr\n7N69G/l8Hn/4wx8QjUbR2NgIuVyOY8eOob29HR6Ph2HFnp6ebXVEcrkcZrMZzc3N6OjogNfrZRh6\nZGSEVeJu3LiBeDyO1dVV9Pf3IxqNolgsoq2tDY2Njaiurn6iQj5SI3Y/te7QRl1fX48jR46gtbUV\nlZWVT2VtT8KkzkbqwAlKFzOU1dVVzrLy+TxCoRAHafT93NwcQqEQZLKHgh92ux0WiwV2ux0NDQ2c\nLVN5ipzno2qk4lrpHlSpVKitrWVHaDQaYbFYuLxDayWGvNlsRkdHBxoaGlBdXQ2dTsdKXKLDlQYS\nm3WM4nmkjJMy10gkAp/Px6IyROxVqVSorq5GU1MT9u/fj5qaGlRUVCAQCPB+ZLfb4XK5OFhRKBRQ\nqVTQarUlsqabNToeaaZJCJ/ZbIbZbOZWvcnJScRiMVaBHBkZQSaTgUKhQCKRQCqVQiwW48zWZrNB\noVAw1E3se2mb11rXeS0Tyyj0TyzHiWp/KysriMVizDpPpVJ8T1dWVjJiZDabOTila0afIXKNNrPO\nF8qBE0lArVajWCzC5/Pht7/9LT7++GOkUimuq62urqKzsxPHjh3Du+++yzeo0WjcNtUzUgISIz6p\naMTExASuXLmCdDqNiooK2O12vP3229i1axdH8E+iXzkej+PPf/4z/vSnP/F6gIewf29vL9577z18\n//vfh8VigVqtRiKRQHd3N44cOYLa2lpoNBoUCgWMjIxgdHQUwWAQVVVVO7beqqoquN1uVFRU4Nq1\naxgcHIRMJkM+n0c2my1hzC8tLeHq1asYGRmBxWLBL3/5S/z85z9HZWXlU8vE5+bmcOfOHfj9fmQy\nGY7sT58+jX/7t3+D2Wx+IoHb0zRxQ6TsSJpxUmsnbe5WqxU6nQ7FYhHz8/OIx+MYHBxkrolM9rD9\nzul0oqGhAW63G2azmYfBkH461RwfleGulZnTwB69Xg+FQsFBOB1LPB5HLBZj4lokEoFKpYLRaER9\nfT3a29thtVq59kkCJiLZTNzIt8JCl2p9r6ysIJFIYHZ2FlNTU5ibm0MqlYJcLmdCaFdXF9rb2+F0\nOtkBKRQKtLe3o7u7Gw6HA2VlZVhcXOT9s6KiokTRUrymj1ojnUN6PZ0HKhkYDAaYzWZGVKLRKBQK\nBdLpNGKxGK8feDgHgVr6AoEA2traUCwW4Xa7S+RWKTii1rKtmniPUumA0FtKVlQqFfL5PGKxGAKB\nAJLJJCdnMpkM1dXV3AZLqIhI0BPr9mKXxqPshXLgpCNO6kHEugwGgygvL4fD4UBTUxM6Ojqwa9cu\ndHd3b6tet2giHLieVVZWwuVyIRgMolAoIBaLYXBwEDabbVt6pzdr2WwWg4ODTLgBAIfDgd27d+Mn\nP/kJjh8/XtJGp9FocODAAeh0OlitVigUChbUoLrVTppcLufNOB6PI5FIAHh4/fV6Pbq6ulBfXw+z\n2cwbPSnhXbx4EdXV1XjttdeemkLc5OQkrl69ing8XgIjUl31RTdpixNQSsKioJXqo5RJUtZaVlaG\nZDKJZDLJkLrVaoXL5YLVakVdXR1D1Fqtlqc90WuB0sEn4kb5KEIb8M2kM5JBlcvl3L5GCQI5Ocr4\n8/k8EokE0uk0s7wJYSgWiyXKXqJtZhOnzV5sPVpaWkIymWSJUupZX11dhdlsRkNDA7q7u9HW1oaa\nmhrI5XJkMhneJ4mRTuXIZDLJEqtECl0LMdjsWsmIbU5rJ1nRsrIyHnJCtXadTsf7u1qtRiaT4c6D\nmZkZbsMymUycjIm94tL9eCMoXYp8iIkUBQbUVy/uRYFAAPPz87wumUwGvV4Pl8uFuro6qNVqPmb6\nO1qLFDb/q3LgInFDvFBUj7JYLDhw4ABOnjyJY8eOob6+/qlLfLa0tOCVV15hIpbf78fHH38MhUJR\nIlO4E1AvRZDpdBperxeTk5MIh8MAHt6sTU1NOHPmDH70ox/BbreX/K1arUZHR0fJz0h8Rqw77aRJ\nb3S1Wg2r1YqGhgb09vbiyJEjqK+vx8DAAPx+PzweDz777DMMDw/jk08+wb59+2A0Gp+YIhtlk5FI\nBP39/cw8JzKM1Wp96vfjkzSxniiS+ADwPS9la4v3lsgCtlqtaGtrQ2dnJ1wuFxwOB6MYa/VGi+pc\n9PONNnLxb0XmOGWOUiY9kdwcDgcHkLFYDBMTEyzxarPZ+HOl2tfSz17ve+nvpGpxJHs6NTUFv9/P\nwQP1q1OZT6PRsHAVoQU03pL0ygOBAPdoE/QvDuvYCswvbZGjcgldb2LFk7CWVquFxWJBTU0NWlpa\nUF1dDa1WywOOZmZmMD4+Dq/XC6VSySUolUqFbDb7rSEr60HT4vfS/UW8DyjzBsBIWSqVgtfrxezs\nLAKBAH+uWq1GdXU1nE4nzGYz3zsAOGBba3jJZu2FceBEYPq///s/VuACHkpwtrS04M0338TRo0fR\n1dXF8NfTtq6uLshkMgwMDDBacO3aNchkDwXwyXnuhGY7STz29fXh/PnzuHfvHhOCtFotOjo6cOzY\nsU0z8Pv7+/GXv/yF5Rg3+1A/jonR6urqQ/Wojo4Odty9vb2w2WxQKpWoqanhckpZWRmuXLnCRBin\n0/nEeqwzmQwmJyfxm9/8Bl9++SU7LSIu/sM//ANOnTr1RNbyLBgdvzSzAb7duxyLxeDz+TAyMoL5\n+XkeFEKjGNva2tDU1MTDc0hOU2xzEt97q2Qm8TXkIEmzmhwOBWOkCEcOPhqNYnh4GMFgkFtLk8kk\n9uzZA4vFApVKxZC5uImLteKtBJkkZrO4uIi5uTnMzMwgEAggl8tBrVZzDzIlMDKZjDUcNBoNysvL\nGRWgY6ThQYlEgnvzCT4XW502+7yLfe7SMlaxWEQ2my1p0aupqUFbWxva2trgdrs5Ayfi6tzcHMrK\nyuD3+3kcqdPp5HLq4yKCUp4GOV/q/yboOxKJYG5uDvfv3+eavUz2sB3Zbrejs7OTtSsINaL10/uJ\nsPlW9s3n2oGvrj7s/Zufn8fVq1fx5Zdf4v79+5idneWT0NPTg3fffRcHDx5EQ0MDLBbLU171N0bs\n2DNnzqCsrAy3bt2C3+/H/fv3WXf4tddew759+x5L1GEjy2QyuHPnDs6fP49Lly4hHA6jrKwM1dXV\nePXVV/H666+jqanpkbVYEn+hGcLFYhEKhQIWiwW7d++Gw+HYtjWTqdVqbsWTyWTQaDSsbHfw4MES\n6VuSTFUqlXjllVdYk35kZITh1idhAwMDOHv2LL766ivMzs4CeLgxdHd346233sKrr776xNbytI2c\np1jvE7XIyUlmMhmesT05OYmpqSkuN2k0GtjtdrS3t6OrqwtWq5WvtVQkhf6RkyVIfrNkJtGJi+ie\nqLwlZtI04tLhcKCtrY3brqLRKKanp/l7yoC1Wi1v5tJMbCvPPO2H0WiUe5Dn5uaYlW+xWLjDhcSt\nKBgRs3dR8YyY/tSVotfrYbFYSgi2a5Ui1jPxeosELlFfnMqPBKc3NTWhvb0dzc3NMBqNDN2Tprha\nreY2XFLes9ls0Gq1HFTRvbYVNUlxvdIgjkoIqVQKfr8fY2NjGB0dxfz8PKMGdXV16OjoQHd3N2w2\nG9+HSqWSleLoeotkShEdepQ9lw6cItZ4PA6fz4dbt27hD3/4Az777DMmGJB1dXXhnXfeYXbis2YG\ngwGnT59m+Ojq1atYXFzE1atXebAF9ZduF5xOvYrXr1/H119/jbGxMV5LXV0d/vZv/xa9vb2PlBsl\niUsSwSHBAtIt36lJapWVlXC73bDb7ZDJZKirq8OhQ4ewd+/edSVvqW5/9+5dTE5O4s6dO3A6nXA4\nHGsqPG233bt3Dx9++CFmZ2eRy+VQVlYGtVqN3t5e/OQnP0FdXd0Lq7hGJmX00kZFcCxlxiTIFAgE\nMDw8jLGxMXg8HsTjcSYolpeXw2w2M/uY4F6RxSs6Q/p6qxmO+F60kYtlOnHalyhOUlZWhqqqKjQ3\nN7MzGh4eRigUwujoKGevNFKU3kc8P1t13isrDycw0jCn6elphs6pjampqQn19fWw2+1YXV1lIp3Y\nh0wQL03SImXKiooKhrKtViurW4rnZjPrFAMnuub0tVqtRmVlJbcD0zmkNVOgRAgBvba1tRULCws8\npc5sNsNgMLATF/kF653btQInKQJCQYdSqYRMJuMg0+PxYGZmhoMlvV6PxsZG7NmzB62trSXENQpS\nRKU4qYDLZu25dODkvM+dO4ezZ8/i9u3b8Pl83KpFPaLA1mXznrQpFArU1dXBaDSipaUFFRUVuHnz\nJubm5jA3N4cvv/wSlZWV+NGPfgSbzbYtamLJZBIzMzP8OWQajYaHLGymHpvJZDA+Po7/+q//wuXL\nlxEKhSCXy3HkyBH87Gc/g8Vi2RHHaLfb0dvbi7fffhtarZZ7+DdCVyoqKpgJ+uDBA1y/fh12u537\nMnc6uAuHw/B4PMxMpTaklpYW1NbWPpPB5U4aORzKtuRyOQ+cSSQSmJmZwcjICO7fv49wOFwilEGt\nO1QbFQMf2ljFNh0AJTClWAPf7P4gZvHkbMUectqUxXouQdY6nY4JdQMDA/B4PBgaGuLMS6lU8oAl\nWttWa6JUm43FYtyH7PV6EQqFUCwW+TOqq6t5LTQPQgxqysrKoFKpkE6nsbCwgP7+fgwPD8Pv90Or\n1cLlcvEYVEIOtmpU1qCvRfKi1WpFV1cXtwvqdDo0NjbCaDTyPUNlC5rauLq6ym18arUaPp+P54nT\nvG2SV5WWKR5lYlYsZstlZd9MG4tGowiFQsw8p0E5pO+u0Wg46KBjIBlaMSCUtpFtxp47B05wxe3b\nt3Ht2jXcvn0bfr8fdrsdPT09MBgMmJiYwNTUFKxWK0MpT4qstFWjqJPqSr/4xS9gtVpx8eJFHqyi\n0WjQ3NzMEfB3tbt37+KDDz7A5ORkybARvV4Pu93OAhfr2fLyMjKZDG7cuIHPP/8cV65cwezsLJaX\nl2E0GtHW1sYs9Z0IoJRKJRwOB958800OOghaW8/KysqgVCpRXV0Nl8uFgYEBXLt2DTabDT/4wQ92\nLNigUaGkF09QoVarxaFDh9DS0sKZzF+LiVkGQbeECtGUr7GxMRYUMhqNLMLj8/kQDAZ5FCcpFYoC\nG/S9qF+9FsOb7FHkMHo/ykxJfIM2YFE5TVrHJJ1v2vDp5x6PBz6fDwaDge+9qqqqkuxedG5iTXw9\nIwfu9/sRDAYRi8VYyYzGrZL6GzkQgoPpWqyuPlQ8I9W2O3fu8LNNIzDdbjezvEXUYTPXnc7fWsdG\n405F5EIcPESaAOTAxX5vcppGoxHhcBjBYBCBQADV1dVQqVRbLpuIryGnK665UCggm82WtAsuLS3x\n+OfGxkbYbDYWoZEeKzlqUTJXFLfZrD03DpwOenx8HGfPnsXZs2cZjtTr9di/fz+OHDnCQvuLi4vY\nu3cvmpubodPpnikd7LWMIME333yTh4R4vV7Mz8/jxo0bOHToECwWC6qqqraUOaxl9+/fx8cff4xQ\nKMSbEvCwv/pR2WChUEAymcT09DQ+++wzfPDBB9xCRg9ea2vrjtRz6R5Ip9NIp9Ow2+3Q6/UwtmIc\n/gAAIABJREFUGAybFmahGl4ul8Pw8DAcDgdOnjwJs9m87eul8bZXrlzB5OQkXzfKMl599dUXclTo\no0zczMhppFIpHijU39/PJRmr1cr3FGUxdO0pk5Q6ETELFtXbgK0hctLnTITJKeigoEFkVks3Yrlc\nDoPBgMbGRg4Sw+EwI2FUB9doNCVZ/WbbiugzC4UCz+uORqPI5XJMmDIajczMXl5eRiqVYj1xlUrF\nUHo2m8X8/DwGBgZw9+5dTExMYHl5GSaTCbW1taitrYXdbodarX4soio9w9IADgAPSMnn81AqldDr\n9aiqqkJlZSUPqRGH3CiVSnaqFRUV3J9PgUw4HGYyHH32Zk103tK/pfuAhtosLi4imUyylkdrays6\nOjoY8k8mkyWIjfTYqSxA981W7tHnxoHTZnj37l2cO3cOXq8XuVwORqMRp0+fxnvvvYfu7m58/vnn\nUCgUqK2txc9//nP09vY+denMrVpzczNOnjyJy5cvIxaLIZlM4sKFC6itrUVbW9t3roXn8/k1x4PW\n1dVh3759G87KXlxcxP379/Hhhx+ir68P8/PzKBaLqKurw4EDB/CjH/1ozfGe22FUOunr68P169cR\nCARw6tQpfP/7339kBr6WkSDMTommZDIZ+P1+3LlzB16vl6Psn/zkJ/jXf/1XmM3mHdEgeF6MMuR8\nPg+fz8ejF6enp7G8vAyn04l9+/Zh165dsNvtGB0dZei8qakJDocDCoUCsViMoe1sNstOliY9Ad9k\nzWIgv9lnSKxR0nvQ54mZN421lELtMtlD5TeNRoOVlRXmjczOziIcDmNubo512knASYSZNxOwU1aY\nSqVY/10mk/GMdJPJxA6cHBCtf3l5GdFoFOFwGIFAAOPj4xgcHMT09DTKyso4o+zq6kJNTc23yILi\neXqUkxQZ94Q+krjOwsIC5ufnecog6WS43e6SqV35fJ6hbJG/Qp9PE9NIDlbMnLdqYrAp9r1ns1nE\n43EsLi4iFothaWkJVVVVaGlpwd69e9HV1cXPdjabLSEhSwnJJBcsnsfN2nPj2aLRKD766COcO3eO\n5ybv3r0bBw8exGuvvYbdu3djdXUVQ0NDSCQScLvdJVHQ0zaSKw2FQixn2NDQgMbGxpKIm2p8NMua\nyA8DAwOYmppCKpX6zv3L4uYAPNxITSYTGhoa0NDQwA6Nbl4iFA0MDGBwcBCDg4O4c+cOAoEAlpeX\nUVlZib179+KNN97AoUOHdoR5Tlna7du38cUXX+DixYuIx+MIBoPw+/14/fXXUV9fv64EabFYRCQS\nwYMHD9DX14d0Ol0yY3gn4PNYLIapqSmMjo4iFAoBePhw2mw2tLW1bfvnPU9G0C2phXk8HhYbodpx\na2sruru7mddCk+3cbjdaW1u5nFRWVsYZmUgUosyGNsfvQlYU+5OBUjiYUCmalkbSmZWVlVxGEnUX\nstksZ8z5fB7hcBiJRIJrpCKc+ijnLf6eJqVRECOTPexJJ/jcarUygkdrIIc/OTnJo5U9Hg/PF6Dr\n0NbWhoaGBlRWVjL6QJn0ZhFBkRhGRsFKOp2Gx+PB6OgoZmdnkc1mYbVamRTmcrmg1+tLeAZi0JTJ\nZODz+eD3+5FMJlm4h87l4zhvum6EuJADJ6TD6/Vibm6OGfAGgwF2ux0OhwOVlZWs1CciQBS4iO8t\nfobo3Dez5ufKgX/wwQe4efMmMpkMqqurceLECfzN3/wNWltbeRLZvXv3oFKpsHv3blRXVz+1+qIo\n61lWVoZ8Po/79+9jbGyMJQ3PnDmDqqoqzgoKhQLC4TAGBgZw//59pNNpvsAEG5O2+naaXC7nMXfi\ngPlCocATgO7cuYM///nPGBgY4EEw1C7W0dGBkydP4uTJkxwtb7dRlnDx4kV89dVXuHfvHgCwA6+p\nqYHBYGCFKzpvpHpEx3Hx4kVcv36dx0GKRJ7tNq/Xi1u3bsHj8XD/J20ApB6nVCpfeNlUqdEmRepf\npB89Pz+PTCaD+vp67N69Gz09PXA6nYhGozzHQKVSMZNar9czg1qpVDIULPYZi5s92WayWdEIJifn\nQWU6YkJTG+X8/Dyi0Si0Wi1qa2tRV1fH15zGeZLYBw38oV5rMdteaw2bMQpWxF5l6ksnVTVCAegY\nAoEA17v9fj8nGNR21tLSgs7OTjQ3N6OqqorvVWlv/VbQDJF5Tk6YJF9HR0cxPT3NP5PL5SzMYzQa\nmSWfz+cBPES54vE4IpEIz0OgPZf0AIBv8wketUbxmIhsSfdUoVBAKBTCzMwMZmdnebiKqEFAREsK\nosR579IgTTwvojjOZgKP58aBLy0tsaSfTqdDV1cXDh48iNbWVkxMTHA/89LSEk6fPo1f/OIXT1XZ\nyufz4f79+7h58ya0Wi3kcjnOnj3Lo/wI0tPpdDzzeHFxERcuXOCRfzSG0GAw4MSJE5yNbHdJgDYo\ngvyWl5dZY/jBgwf4/PPPcenSJcRiMY7cAcDpdOLQoUP41a9+hV27du1oqx5BbBcuXMD4+Djf5Eaj\nEQ6HA0ajEYlEApFIBPF4nOeCDw4OMslkdnYWHo+n5OHaSbt+/Tp+85vf8FQi4OFmMDs7i+vXrwN4\nWC75a6uDi6Qvuk40e3plZYXJSDKZDB6PB5OTkxgbG0Mmk4Hb7UZTUxN0Oh3XbMX+5dXVVW7JJMct\n9u2KeuOPMvF1tJkmEgnMz89jfn4esViMFfaoayQWi8FisSAej3OJj+ql9HeBQADBYBDLy8vMyaAp\naaK05mZMSnAT+7npvYhwl0wmsbi4yApms7OzmJmZwczMDHw+Hz8XCoUC1dXVDJuTfoY4+5pMfIYe\ntWZyiiIUTToSsVgMoVCIzxu9hu4PEsJJpVKczCSTSRbGiUQi3DanUqlgMpl46IzI7N8KWiAGUyLx\njjhWPp+P1emUSiWjrBMTEwgEAjAYDDAajbBard9qExPr4PR5j6P18dw4cKptEJHF5/Ph/Pnz3O84\nODiIcDjMYh719fVPJbMhklVfXx8++ugjjI+PQ6FQQC6X84xtegCuXbuGaDTKN1gqlcLIyAhrDgMP\n67QdHR04c+YMOjs7uU1mO61YLCIYDOL69eusc+zz+TA5OQmv14uRkRHMzMwAeJgx2mw2tLe3s/LZ\n/v37mUG7U0aSuDTQIpPJQCaTIZ1OY3p6Gh9++CHrDKfTad5Y5+fnkUwmuT2JpCD37NmDI0eO4Pjx\n4ztWhzYYDKiurkYymWTnIpPJcPfuXa5RHj58GKdOnUJra+uG3IMXyaSbFcHQ+XyeM3KapUws32w2\nC5fLhebmZtTW1qK8vLyk3kwMZco8gW+cm+i86eebdeC0PoI84/E4PB4PBgcHmbxJc+iplYgY8Ol0\nGnK5nGvT0WgUqVSKSVoWiwXV1dVobW2Fw+FgB76V2rd4PFRrJ5Uv2itJTW10dJTnkxNiQMplpNRm\nMplgs9m4vFf//xXbCFWTkrpEJ7fZfUm8DmQUZNE/UeVsaGgI09PTjGRQNptMJhnFIOeu0WhQW1uL\n+vp6RmClGf96JoX4xftUbCMUAyVCfcrLy5ncG4vFuAzU2NiIysrKb3EvKGkSs2zxvtzsPfrcOHDK\nVpVKJXK5HEZGRjA9PQ25XI58Pg+NRoPW1la8+uqr2LVr11PbDFdWVpDNZjE0NIQLFy4gHo+v29s3\nMjKC4eFh/p5uDJVKxT2NbW1tOHz4MF555RXU19dvC5ue6mK0AS4tLSEYDOLixYuYnp5GRUUFPB4P\nPB4Pr4tm2lLv9Ouvv45Dhw6ho6OjBKraKVMoFDCbzTh48CBCoRCjE4lEAsPDw5icnATwDYwoZe9S\nDUuhUMDtduPtt9/GqVOn0NnZuWMCKs3NzThx4gRCoRDDpDKZDENDQxgcHGTHU19fj/r6+hfegYsb\nI/2jjZvuoUKhwNmWXC5HOByGQqGAw+FAe3s7WlpaYLVaS7JtyuQJ1RIlL9eCJtdzQmsZvZ7uK2od\nmp2d5c4CmjFPCmskixyJRNjB0CQvhUIBrVbLYzrr6upYi0DknkjP00Ym1lBVKhVLRROXJplMMqK3\nurqKWCyGSCTCgWVZWRkMBgOcTifq6urQ0NCAuro6OJ1O7uBZC37eLCQtvl687iI5TKPRcJcN7ZkE\nVdPzQ4NJyIlKJ3ppNBoe29rc3AybzQaVSlWCUGz2nIrrFGV5iW9BIjNWq5XXQkJD8/PzLEFNgjni\ndQVQck5FlvxWGfPPjQPXaDTYu3cvz4gVH1i5XI5Dhw7hvffew4kTJ1BdXf3U1kkjTWn268DAAGfT\njzJ6ADs7O7F//3709PSgvb2dIaztcjQ1NTXo7u7GjRs3uBYLAIFAANFoFDKZjGtMALg94s0338Qr\nr7yCvXv3wmQyQafTlUzU2WkzGo149dVXsbCwgLm5OSwsLPBGTnrHa934dF5p0+zu7sb3v/99Juzt\nFJReU1ODPXv24Nq1azwKUaoORgNt/hrZ6JSpGgwGuN1uBINBhkZzuRxvzHS/ipKU1EpEUDkxk6Vw\nOvCNfjmw9tSnzVpZWRlrJbjdbqRSKSSTSa6zUztTRUUFisUiM6HlcjnXoM1mM+x2O+rr6+FwOHiI\nDcmaSuuim3E4dDzUN22xWFBZWcn65SsrD8eEijrnJOlJ7Pe6ujrOuKurq5lPQq+n4xc/b6smOijx\neqhUKlitVrS2tjKpLhAIME+FXieTfVtDXBwG5Ha70dDQwB0KBoOhpP9/K7V68W/EVjeZ7OGseYfD\nwUNqMpkMkskkj4Wm9jeC8QkFIP6SdJyq2Dq2lTUCz5EDr6ysxNtvvw21Wo1r164hnU7zjGCHw4Fj\nx47h+PHjJZHs0zDKVg8cOADgYS2cZsRevnwZ2WwWKpUKSqUSBoOBWaokfE8PN80ztlgsfCNul6Pp\n7u7GT3/6UwAPh5AQu1d8WMvLy2EymdDZ2YnOzk50dXVh165daGlpgdPp3Nb1bMaIDEIOb2lpCcPD\nw5idnWWIlR4O0kmn2qPT6URXVxeOHDmCmpoa1NTUoLa2dtODWh7XrFYr9u3bh/feew9//vOf8fXX\nX0Mmk/E5BYADBw78VU0hA0o3LnLgTU1NyOfz0Gq1yOfzLD9K2gLt7e3c3UCBEN2DtLmLohjS+jWw\ntbYx6ff0/iSRSYNywuEwK3GlUikUi0UeI0oDP/R6PYxGI7dzEXSu1+s5ACanROdnrQ1dui6pE6U5\n3zU1NYjH46wRTgEPtVWRKpvL5UJNTQ1cLhdcLhc7fhJIKRQKJXKfIly+FScufZ3Y80wkRJVKBbfb\nzb3rk5OTiEajTNwVB4gQOY/mh9vtdu5Rp5Gy1FMvrlPqHNe7H6S8BynpjNBAt9vN15161PV6PWw2\nGydwdrud0Rlpj/d68PlGa5Pac+PA9Xo9Xn/9dZZPDIfDPNeWhENsNtvTXibfJLt27UJ7eztWV1cR\nj8cxPDzMX+v1eo7kSYWptraW63tarXZH68kdHR2oqqpCJpOBXq/HyMjIt16jVCpht9vxve99D6dP\nn8aePXt2bD2btYqKClitVhw+fBhmsxn37t1Df38/JiYmmLhGcCvNAvb7/Whvb8fp06fx5ptvwmKx\n8Eaw02Y0GtHe3s7CPMREf+ONN3DmzBnIZLK/OgIbUApLU2msvr6ex2yKmYzNZkNNTQ1P5SMeAxE/\niXUNgKeCUZukFI7c7AYumvT1arWadfg7Ojq4d3p6ehqhUAjZbBY6nY6JeFqtllvKNBpNyT+qUxO3\nZz2YdzPrpFJEZWUlamtrWdltYWGBBVIo8yanRxrjNLlLZNmLRLW1tMQ3uy6pia1TdMxU2jKbzZzh\nVlVVwe/3s+ANlSeoXEFZMc2Bd7vdsNlsHICI5RIRst/suun+pK/FIJAgdIfDwT3gxF+gca0UFFFw\nTu8lBp2iPW4yJHscKGSHbMOF0MVIpVKsIiSXy7l9hOC0Z8XEiIqYlouLixxJisxYuimUSiVH7Tud\n3VJfNMGVUqPaksFggMFgeKbqsyTUkM1meXMSN0BxI6eMiLIgctxbhaoe10h4QpzoRNkYAL5/t9Ge\nvuiBxMbHx9d8tsXNjIhINEeZsix6JkgKk2rJouQoZXGio5H2KYufR/ao6y/ujWtBqsRhoHZEgu1J\n05xgV5VKxQIt9F7kvMU+danzfpQDl65PJK1R5krSo6JoC8HtGo0GOp2OIV4ihxGSRXuTmIWulyVu\n9DytdR4pmyWeAkHhdI3puSYUgGrlhK5S4Eb8CZpfLq5ZmkFv1YHT/2JASOU4GppF/ohKPtQWSqVd\nUcKVzjvt73T9RXb8Rte8paXlWz98bhz4S3tpL21T9tw4cAAlm63I9CVnDJT2HIuENHJ+BMWvlYFv\nRAjb6kZOJpVNpY2Y1kaZrLg2ChzFzFOa2VFwsNXsW+oU6R9xAsT53eSkKSMk505BD2W64s9FyFvq\nBB83IJKqo4nHTq8Vv6bXiEM/yPFJpWylTvtx6/X0v/Q6SYNHWgvdf/Rzer14rsRjFO+FzZzLtRz4\ncwOhv7SX9tJeHJNmOPS9WN8EwBscaZsTSYwcpCjaI60xbtVZb9ZEZyYNLkQHIm7QazlB8W++CyJE\nn0nvReeOvhYhZ+DbNV6pKqP4NyKMTO8pfu5W10kmEl/XqjmLwRD9jhA18T3E45KWTLYjOV0rsCKU\nRyQcStcpcjTWku9dDw3Y6jl96cBf2kt7aU/NpIQtaRYmbpBiVi4S1+j3olP4rhuj1NYikEkdhLhe\ncdqUSIITa7H0vo9T895ondJMlyBo+l7MzqUOhb6WTgxb6723w6THvVZGLkUWpOdrrTXt1Dqlnynt\nwBF/Lp7ztWw71vjSgb+0l/bSnpqt5bSkWaG4eYokKOCbzIcc40bkoMdxjGv9zXqw71oOaK3jFIMW\n6TE+7lrXgp7F9a5Vvxb/RurARaezXt37cda50d+tdfxrwezS3++EbVTPf1SGv9b5f5zP2oy9dOAv\n7aW9tCduG21a0oxFzLrXcuxk28Xs3Yxt5rPX+/z1frcd692M89ho3fQzaSCwk+dyo7VJOQz0c/G1\njzrG7bJniC/G9tKBv7SX9tJe2ne0J+XgXtrLcy3aSwf+0l7aS3subTMZ0U5s9lthhj/u3++0bQQR\nPyv2JBGV7bLvcm88zvG9dOAv7aW9tOfW1msTIsj1aTpSYqGTiT3A4trWqqk+Scha+rlr1dF3wjYT\nLGzUu72TteXvautB/+vJ5a4lR72Z9b904C/tpb20Z96kmxzVw8X2LOlrpQQz8f/tXpv4b3V1tURs\niIRRSGGR9PfFHvL1mMo7YdJzQ7ZeICRt83pSth5bf70+b/Ea77TzXosfQGuj80TrIA0AkrPNZrM8\nt15sjaTWva2s/aUDf4o2PT2NkZERTE5OQqfTsZyq2WzecZ3ul/ZsGo1AHR8fx+TkJCKRCI4cOYKT\nJ08+EYW+p2FrtWORic5YdOCi4MtajG8pwWmnSFm0YYstQ4VCgfXRw+EwVldXoVar4XA4YLPZShQY\n6W+kUqqifde1rufkxJY2acsY2XcdYLLZ9a31vdgTTudG7LGXrnk7euo3Y+t9htj7TwI+dI/m83ke\n0hKLxXgmBs0M12q1Je8p7WhYz1468KdoIyMjeP/993H16lWYTCb09PTg5MmT2Lt3L5qamkqUfV7a\ni2v0oCaTSczPz6Ovrw9ffvklrl27Bq/Xi3//93/H0aNHn/gAmSdh0vYloJSFLoqSSJ3IWspb60GW\na8HTm9kg11qnaKJoBwCeU+3z+TA1NQWv14vV1VXo9XqeXEYDXOh9xSycesW36zpLnZ4I2W7kDOlv\nxeNfq53rcR37o/5G2somXcd6rXgiuiC9N6Sf+13O8VplEKkKHvDNJDx6tkdGRhAMBpHP52E2m1FT\nU8Na8CQFvpX78qUDf4rm9Xrx4MEDyGQyzM3NYXp6GhcvXsTf/d3f4e///u/hcrme6mS1l/bkbHl5\nGX19ffjf//1fXL58GfPz80in0yxr+aI5bqmJG60UglxdXS2RAF1dfTi2U9z0RElLki4VJUJFYRJp\nL/F3XXNZWRmUSiWP30wmk4jH4/B6vfB4PMjn81AoFFhcXEQ8Hkc+n0draysPwBD10LcjYF+rpirK\nvYqTwKSqYdLMT9pfv55C2neF16VZLWmkA+BMFgDrzRP8LFWXozXSe60lq7tdJgYZ4jkjyLy8vBwr\nKyvIZrPwer3o7+/H119/jWAwCJlMhra2Np4NL6rfSY9nI3vhHXg+n0csFsPY2BjGx8cxPz8PALBY\nLKitrUV7ezusViv0ev0TW1OxWEQ0GkU0GoVOp8MPf/hDFItFjI+P46uvvsLAwACGhoZgMpl4ss5L\nezEtEonww/3VV1/h8uXLmJmZQS6Xg9FoxNGjR9HW1vbCwufAtzcr2oDJWQDfQLwEP5eXlyObzfI0\nsFAohHg8jpWVFeh0OlgsFjidTlRVVUGj0bAO+Hra05tZ11pZnxS+pQ17ZWUFer2ex8YuLy8jHo8j\nGAxCq9XC4XBAq9VCqVTyABcAaw4R2YpRBi++B426lMlkJfA9faZUq30tSVJCCsTPEBETabb8KJb7\nWqiJ1IGRsyZHKL0GFJSQiVwCOiYpb2Iz134jFEL6PutNbSsUCkgkEohGo/B6vZicnMT4+Di8Xi8K\nhQJMJhMqKythNptRVVUFvV7P10CUr30UqfCFdeB0wwWDQQwODuKzzz7DpUuXMDAwAABobGxEb28v\nfvjDH6K3t/eJOnB6mFdWVuB2u/HLX/4Ser0et27dwujoKHw+H27evInOzk5otVooFIontraX9mSM\nNvrJyUlcuXIFf/rTnzA4OIiFhQUAgE6nQ1NTE9555x309PQ8kfGnT8vETUqqOS1u3mLWvbS0hHg8\njrGxMQwMDMDj8WBhYQHLy8uoqqpCXV0denp60NbWBrVazSjGevDreiZ1oGKWuLS0VOKIlpaWUCgU\nkMlkIJfLed62SqVCMpnE119/jUQigdnZWXR0dMBisfAkMArQKDihYGA9KFm6NjGDJUiW3qNQKAD4\nZuQonVPKvMmpixO3RDSEPkt04GK9l87DRrVh6ffkfAkVIHIfISrkvEVoXxosiQEZHRNNZBPvFen7\niCWUrQbFUih+LTb50tISMpkMl1H6+/vh9XoRDoeRz+dhMplQV1eHpqYm1NbWwmazQalUsuztWse6\nnr2wu8Ly8jISiQQ+++wz/P73v8fo6CgikQhDVZTl0AzdxsbGJ7Y2hUIBt9sNh8OBubk5noXb3NyM\n3bt34/bt2/jkk09w+PBh6PV6WK3WJ7a2l/ZkLJvNYmRkBJ988gk++eQTjI2NIZFI8O/37t2Ld955\nB6+99hpqamqe4kp33qSOmzbcYrGIQqFQAtHmcjksLy8jHA5jbGwMIyMjmJmZQTQaRTabRbFY5I1d\noVBApVLxfGkalCJmbVs1qrGKWamYLebzeayurkKr1UKv18PlcnHGW15ezuN7FxYWYLVaoVQqvzXJ\nTISx6fxspmYMlELaAHi8KE0ZoxGoNKqTppTRa2QyGc8qJ4dIGT2d13w+X+K86e9E9GC9NdI5KxQK\nyOfzyOfzAB6O1aXrQ0EMjRel0Z00Npa4QWI2rdPp2Pmn02keiypOfvuuzls0yrbFe5NQDRod7fF4\nMDIygtHRUcTjcZSVlcHhcKCpqQnt7e1ob2+H0+mEVqvl8yjOt98MIe+FcuC5XA5erxehUAiBQABD\nQ0O4fPky7t27h1gsVvLg5nI5BINBXL9+Haurq1hYWMBbb70Fs9m84+ukmbJ79uxBVVUVjEYjKioq\nYLVa8cYbbyASiWBoaAijo6Ooq6vbdgdO7QyZTAaRSASxWOxbr4nH40ilUjAajTz/lkylUqGurg46\nnW5HMsPl5WWk02ncv38f9+7dQyKRQENDA1pbW6HRaGCz2WCxWB75PrlcDjMzMzw/HgBqamrgcrm2\nfc1bsUgkgtHRUXz44Ye4du0aRkdHkUwmoVKp4HQ6cfToURw9ehS9vb1wOp3bPS/8mTDRIUk3VqrN\nUmZFdWKqLYdCIXi9XkxPT2N2dpbryvR8Ly8vI5VKYXp6mrP15uZmVFVVQa1Wl8xoXo8oJZp02hit\nVRx7Kl4jo9HIM8zpa5lMhrq6OiSTSSQSCX7udDodHyeNIRUd02agaHKkBJUTWY0cZSaTKcm2qZWp\nvLwcKpUKFRUVyGazKCsrg1qtZqY8nR+aca1Sqfgciwz6jdYqJXktLS0hl8shkUggFotxUqVUKlFT\nUwOLxQK9Xs8DWMTxoVQXz+fzKBaLiMViSKVSHIgQLE2ZvLQ2/6guhM2WK0SiHJ0PCigikQjm5uYw\nPDyMqakpzM3NIZ1Ow2AwoLq6Gi0tLWhsbERdXR3sdjuUSiWfE/EY/+pq4PSAP3jwAA8ePGDCQCgU\nYgiJTCaTQa/XQ61WY3Z2FoFAAGNjY6iursa+ffueiBMHgK6uLrS3t3PkqNfr8eqrr2JgYIDrJZFI\nZFs+i6LdpaUlbnGJRCKYnp6Gz+f71uvn5+cRCoVQXV0Ng8HAG9Tq6ioMBgOOHDkCi8XCJDudTged\nTsebBB3T49jKygoymQz6+vrw3//935icnERvby9Onz6NqqoqtLe3bwoxSSQSfA9QpL9371709vZy\n9iOO+ttpW1lZQS6Xw9jYGM6dO4f333+fz71Wq0VzczMOHz6Mf/zHf0RzczOfzxfN1mIEi61YIqGL\nMuZMJoOFhQVMT0/D4/Fgbm4OCwsLiMfj/B4ymQxqtRpqtRoKhQLRaBRDQ0OIx+MoFotoaWmB0+nk\ne/ZRm6UUul2LzU61VsoKy8rKYDKZuC1IqVRy0NDS0oJIJIJ8Ps+OPJ/Pl0xaKxQKJbO6pcQy6fpW\nVlY4GI9Go0gkEpyB0r9cLldyLNSHrNFooFarUV5ejlQqBaVSCZPJhHQ6DZVKxZ9dWVkJo9FYMvFN\nWjMXUZT1rjfB+el0GuFwGD6fDzMzM8hkMny9nE4nTCYT1+sp+KHMtKKiAoVCAalUCosDvfb4AAAg\nAElEQVSLi4hGo0gmk1hZWYHD4UBDQwPcbjd0Oh07//Uc90bB0UaZuliKWV5eZtSkUCjA5/Nx4rG4\nuIh8Pg+tVouGhgZ0dHSgo6MDDoeDAw3gYaJB+5N07OujUIIXxoFnMhn4/X4MDQ3h0qVLuHfvXknm\nRUYP1fHjx7F792588cUXmJmZwdDQEP7zP/8T//zP/4xf/epXT2TN0pYRuVwOq9WKuro61NbWbmvt\nOxAIYGJiAsFgELdu3cK9e/eQzWYRi8VKoFsyiuYJYhNvJIVCgbNnz0Kr1fKDfPz4cZw8eRI6nQ7V\n1dWw2WyPvdaysjLodDrU1NSgsbERPp8P9+7dw/T0NNRqNSwWC0wmE4D1Wy4IzvT5fMhkMnwffPrp\np9i3bx9+/etfo7W19YlyH3K5HCYmJvC///u/eP/99xEMBjkgOnDgAH784x/jrbfe4sDoRXTeZGvV\nJUXymlwuh1KphFwuRyQS4Y1xdHQUc3NzSKVSWFlZQUVFRck1rKyshN1uh1arxezsLILBIBYXFwE8\nfL70ej0UCsW3oPBHrVWESEVyEcHniUSCnxO6duSwFAoFFAoFnE4nrFYr5ufn2VGLAYDoNID1R22S\n0funUimEQiHMzMzA6/ViYWGBiXEiiY1Y/AQvE4lOJpMhm81CqVRCr9ejqqqKn3vKyKurq2E0GmEw\nGLh3Wa1Wcwb5KCa6WDOnnuiFhQV4PB5EIhEsLy9jYWEBJpMJarWanXV5eTmvG3i49+RyOaTTaUYW\nKDC2WCxYXFxEoVBATU0NTCbTptCM9dYrmnhtqFwCoKQss7CwgPHxcfT392NmZgbl5eWwWCxoaGhA\nV1cXOjo64HQ6odFo+P6gkg8A5gGInQmPujefewdO0XlfXx/Onz+Pr7/+GqOjo0ilUrDb7aiqqoLN\nZkNjYyNUKhVH9Xv27IHD4UChUMCFCxcwMDCAgYEBTExMIBwOw2g07jhxSHpTiQSU7Waf37p1Cx98\n8AGTaLxeL0NsxWLxW6/fiIlZVlaGSCRSwvIMh8MYGRmB0WjkWv7+/fsfy0FSW05bWxuOHTuGwcFB\nzM7OIpVKQS6Xw+/3c/S60TqpHiU+CLFYDIVCAd3d3VCr1cwS3mkrFotYXFzE+fPncf36dXi9XpSX\nl2PXrl04ePAgjhw5gt7eXtTV1T2R9TwLJmXYEmRKqEgmk0Emk8HMzAxGR0cxPDyMYDCIpaUlWCwW\nVFZWwmQywWq1soMwGo2w2+1Qq9XQ6/UoFAqYnZ2Fz+dDMBhEMpmEyWTaEvIidaL0jwhLdH+JUDNl\n01THpzIUBQEymYyfc6otS0VpHgWhU7khnU5zkDM9PQ2/34+lpSUODKTse7GtLpvNMrcAABYXF/ne\nJIjdZDIxW9put8PlcqGurg5Go7EExdrI2dCxkMOjYyeoO51OY35+HsFgsKTeTTV72hdVKhUymQyS\nySQnGAqFgpXvVldXGYbX6/Ul53KjgG0top147cnhiv/Te2cyGYTDYQwPD2NiYgKLi4tQqVSoqalB\nW1sbOjo6UF9fX1KaEPdcuu50vPQZm9n/n2sHnk6nEY1GMTc3h7/85S/44x//CL/fj5WVFVgsFhw6\ndAgtLS1obm7G0aNHWTyhvLwcOp2Onb/X68XQ0BAymQxCoRAWFxdLsssnZRQtZzIZ5HI5qFSqbcvC\n+/v78fvf/x7ANzczbXKPgrsJ4pHL5Uw+SSaTJTdYX18fbt26Bb1ej+bmZhw/fpz72Ld6DASfNTU1\nIZvN4vLly1haWuJafT6fRzqdBlD64KnVamg0GsjlcqTTaaRSKX4/smw2y50JXV1dO+7AKTtYWFhA\nf38/PvvsMwwPD2NlZQVWqxWvvPIKfvGLX6Cjo4NbijKZDMrLy7mWJ1Uhe95NvB4iAiU671QqhXA4\nDK/Xi/HxcYyPj8Pj8UAmk6GqqgqNjY1wu91wOp2w2+3szLRaLSorK5kEFYlEsLi4iGQyiWg0inQ6\njeXl5W+JZmy0Tum5p6BDrFmLKIJI+qJMmzJfkTxGzze1nVHQLq21S/kC4tcUhKfTaSQSCSQSCaRS\nKVRUVPDzIJLkaF0i25my21wuh0wmg0QiUXIswWCQVcNcLhdisRhfp6qqqjXRr7WgauIe6HQ6mEwm\n2Gw2RKNRDl6IeJzJZEr4SvQ3BoOB0QJC1egfneOKigpEIhE+p2slSZutL5OJyBA5bwrGMpkMAoEA\nJicn0d/fD4/Hg1wuB6fTia6uLuzfvx+NjY3Q6XQAHnKLiPRH3RF07MA3nIL1OCJSe64d+PDwMM6f\nP49Lly5heHgYfr8fxWIRNpuNYdLm5mZotVquiQAouRj79u3DzZs3cfXqVUQiEa4ZPUltYrKlpSWG\nlQKBAEdtO2FqtRo9PT1oaWmBw+H41u/FCHRwcBDj4+Oorq7G7OwsJicn13xP4iFMTU1BqVTi5MmT\n0Gq1cDqdj7VGrVaLlpYW/NM//RMuX76M/v5+yGQyTExMYGpq6luvb2pqwt69e2Gz2dDX14crV66s\n+b4VFRWw2+0c0O2kZbNZjI6O4osvvsAXX3yB+/fvIxaLQaVSobm5Gd3d3ejo6OBWI6/Xizt37rCT\nstls0Ov1L4ygj5jNij8TM890Oo25uTlmmc/NzXE90eVyobW1FV1dXXC73bDZbDAajeyICGFbXV1F\nXV0dGhsb4ff7kU6nUSgUkEwmUSgU+DWPWqvUAYikLQrwxQCLWOhifZwyLLHWaTAYmO1NkLYoGUuI\nwlpOXLpGCvZ0Oh2sVis0Gg2qqqq4v5jaqihbJhJrPp/nNVFQnEqlODukhCKbzbLTpICE6voqlQpK\npXJdQqB4HimLJo4C8RUcDgcikQhSqRSSySTS6XSJ0IxcLufjUSqVTAKMx+NIp9OceYuZOyEhUhh6\nq85bvDdFgiCV6DweDwYHBzE8PAyPx4NEIgGFQoGamho0NTXB7XZDJpPB7/cjHA4jFAqhvLwcBoMB\nTqeTCcwEpReLxRJE44WsgafTaYyMjODTTz/Fp59+irGxMabpt7e3o7e3FydPnsSuXbtgtVrXhctk\nMhnMZjOOHTuGhYUFfPjhhyyq4Xa7odFonuhxUU2LGIl2ux1Go3Fb3vuVV17Bf/zHf/D3SqWyZAPc\nyA4cOICFhQUYDAbOaMiozjw1NQWPx8PZzsTEBH73u9+hrKwMb7/99mOtuby8HEajEfv374fZbEZv\nby9kMhkWFhZK1kDmcrngdrthMBjQ09OD48ePIxAI4Pbt29z/Dzyso9XV1e04WbFYLCIYDOLDDz/k\nIDMWi3E7yVtvvYWOjg5EIhHcuXMHExMTmJ6extTUFHQ6Hdrb2/HjH/8YjY2NL4wDB9YuHYlkrPn5\neQwNDWFoaAizs7PcV221WtHe3o5du3ahqakJlZWV3EdN70MZKZGvqqurYbfb4fV6USwWkU6nkc/n\nmaS13vrEr+n9xb5sMXOl31OtWaVSlWzCVOsk1rRYfxbPhwifilDvo5y3Wq2G0WiEw+GAXq+HTCZj\nopRKpWKnIEozE3xOhDZx7yGnR7X9xcVFfuZSqRTm5+dhNpths9lgt9s3RNjWKo+IMHpFRQUsFgtS\nqRQymQy3AgLg2rdKpYLRaGRInEhws7OzTGYUa+Q6nQ4ajYYdoyh1u1mTBppie55cLkc+n8fi4iJG\nRkaYcU6dJA6HAy0tLbDZbCgUCiyp6/f7WbyLyJQUxFCAQLwIEZnayIk/Nw6cIDKSpfv000/xySef\n4MaNGwAesqDdbjdeeeUVvPbaazh8+DDMZvOGtS6Catvb23H8+HF88sknCAQCGB8f50j5SdrS0hIC\ngQATYogosh12+vRpnD59elveS7RUKoUHDx7gwoULOH/+PJLJJFKpFBYWFvDRRx+hu7v7sR048PCB\ndLlcW279Onr0KGKxGC5evIhYLFbiwCsqKuByubYtOFrPMpkMPB4P/vSnPzFsrtFoUF1djf379+ON\nN96AVqvFvXv38Lvf/Q737t2Dz+dDLpeDXC5Ha2sr9u7dy50AL5JJ+QqkXBUMBjE2NsaoTzabhV6v\nh91uR1NTEzo7O9HW1gaz2czsZGqJAsA9yhUVFTAajUy8IuiYHATBtpup24qwK0HmIvOafk7vS5k3\nOUJy4MFgELFYjO8D6nMWHZt4bkRofq3zRmgDZdz0O41GA5fLVeIYxL8ngpqYURO8LcqOFgoFhEIh\neDwe3hMjkQgikQhCoRASiQQKhcKmMkUxSKFeb3JUJpOJyw3ieSXnS2Q5KnvkcjkeEpNIJBAOhzlA\n0Gg0vG+KfdobkQE3MroGIkmPgoj5+XmMjo7C4/EgGo1Co9HA4XCgra0Nzc3NUKlUmJ+fx82bNzm5\nSaVSMJlMyGazMJvNMJlMzPCnQJaQjM3wNJ4bB760tIRIJIKBgQFcvXoVf/zjHzE9PQ3gofN+/fXX\n8cMf/hA9PT1wuVyorKzcVA17aWkJIyMjuHTpEtLpNBobG+Fyub5TG9TjWjgcxu9+9zv09fU9N8pb\narUa3d3d3NYxPDzMteenbYlEAl988QWGhoaeyuf7/X4MDw8jHo9jeXkZWq0WBw4cwA9+8AO89tpr\nMJlMuHPnDj799FPcuHEDwWCwRIEqm81idnYWbW1tqK6ufirHsN0mMriBb1CnWCyGubk5TE5OYnBw\nEHNzc8hms7DZbCVEILvdjsrKSshkMq4nUyBOHA0R0ibHQL3D4vjRzWZl4iYulpZEyJjY5zKZDCqV\niuFpkeg0OTmJYDDIfeMUQBDzmAKSzToYqsWSsyI4W6/Xw2w2c9IDgCFaCm4oeKB1iL3x5EDpns3n\n8wiFQlCpVOzYN9uvLp5DOu9iEERjVkXillQkhYh4xEwnJnqxWEQ2m+WgjWr+JOpCx0trpHVsxcTr\nTvcZCfLMzc1hdnaW+7wbGxuZbW632+HxeHDnzh3cuHGDa9+pVIq18R0OB+x2O6xWKxMOt1q6fT68\nBB5Oavryyy9x+fJl3Lp1C1NTUygUCqiursapU6fwxhtv4NixY7DZbCUQ1kZGm8fIyAiuXr2KTCYD\np9PJNcknbblcDsPDw5DL5ejp6YHBYHiifcqPY/TAxWIxzMzMcM+9SqVCU1PTY9e/v6vRwzI7O1si\nVGOxWBh+3WmJWpJJTSaTMBgMaG1txbvvvouTJ0/C7Xajv78fly5dwqVLl7CwsAC5XM4ErFQqhUgk\ngrNnz8Jms6G1tfWF0UMXnTe1FIk17+npaRSLRZhMJnR0dKCnp4db/hQKRYlWtFg3Fjd/2mQXFxcR\nDAa5Tko1aXr9Rhu66KBE5rkIdQPfOFIiUolti0ajEblcjjXvl5eXGVEpLy9HoVBgR04QKn3mRkZr\nooyWOjc0Gg0TcHO5HBPmKOCgEgMhBvTZUgU7CkaWl5eRy+WQSqW4Nk31a6qpb+aeFIMgsZ2NkBAK\nvkTIWkQ9aM2kXJdOp7GwsMBdJRRA6fV6btMSz6UUSdnMuRVLGHRvUeC4uLiIubk5RCIRKBQKNDQ0\n4MCBA2htbYXZbMbi4iKGhobQ39+PTCbDnAfiGCSTSczOzqKmpoZb3sSgYzPwOfCcOHBqwTl37hy+\n+uorJlFZLBa0tbXhpz/9KXp7e9ckY21kS0tLCIVCrKdM5AKi+z8JoxuFxs1FIhHU1tbi1KlTLP/4\nLFuxWMT8/Dz6+/tx9+5dZDIZyGQyGI1GHDt27IlK1IqWSqUQDAaZkUpms9nQ3t5eIkKz3UZKYEND\nQ+jr60M6nUZzczOOHDmCN998E06nE4uLi+jr60NfXx+mp6dRWVnJrOqKigqMjY1heHgY586dw8GD\nB/Hee+89Uhf5eTIiHBFyMz09jbGxMUxOTiIej8NisaCurg67d+9m8YtCocCtWWux8wmOJunNhYUF\nzM3Nwe/3s6Mk5bGtPFfiZi7WkqkFixjvtD5SNVOpVNBqtYjFYvD5fNye2tzczGIlhUKhRAcbKGXm\nb8aRi0EFEcSIT5DP50ugWQqa6LjEtiZSs1Or1Xx9aFhMIBBg0RyDwcBiNSJSuNFaRZIbJU4U7FP5\nQDx+0fmKbVfUcrawsID5+XlGtwiJIIEu0kan8/Oo6y0697VIbyIqEI/H4ff7udxlt9vR1taGPXv2\nwGw2I5PJYHx8HKOjowgGg7BarXC73bBarchkMly3DwQCWFhYQDqd5r1eLOu8MDXwUCiEiYkJZpOS\nNTQ0MFntcQhJmUwGN27cgMfjAfBw4/V4PLh9+zZn8jttdHNeu3YNH330EXK5HHbv3o1Tp05x28Sz\nbIlEAufOnUNfXx/36KpUKtjt9qfqwGdmZtDX18dCLmRarbZEUnMnLJVK4erVq7h79y6fk56eHrzz\nzjuw2+1ck7916xbi8ThaW1vxgx/8AAcPHkRTUxPKy8vxP//zP4hGowgEAjuyxqdptJnTpEBxdnYy\nmeTZBLt27UJDQwOMRiO34wHgDJAyMyKPiZtsKpXCxMQEPB4PwuEwZ0A6nY6FXDYLp4q935TBr66u\ncqsSCc4Qi3hlZQUqlQoqlQqJRAKjo6N48OABFAoF2tvbsX//fm5jpcCCsnexF1yKAKxnFMSQkyI+\ngbQ9bS2oXNRfp6SlvPzhpLdQKMSkSp/Ph2w2y8TA6upqVhPbbGYrZuEEiYtSqSLDm0ocUjW11dVV\nXlc4HGYZVmrLovo3nQtR5e5xat90fum+SqfTmJ2d5Zq2TqdDfX098zKi0SgT24rFIpqbm9HZ2YmG\nhgbYbDYsLy/jxo0buHnzJnK5HBOW6XPoXtjsvv9MO3CCb65evYoPP/wQIyMjyOVyMJlMcLlcOH36\nNF599VXYbLZNw6F0c9CIUcroy8rKoNVqWXVoOzb3VCqF+/fvI5vNwmAwoKurC1qttuQ11Ipw7do1\n9Pf349SpUzhx4gRqamqe+VGiDx48wMWLF/Hpp59ieHiYo32r1YrOzk6euPQ0rL+/H3/5y18QDodL\nekpNJhPcbjc/9Nttq6uriMfj+Pzzz3nWe2dnJ/bv34+WlhbE43FcunQJX3zxBfx+P3bv3o1Dhw7h\n0KFDqK+v50CUAsgXqf+bjDZschJzc3Pwer1Ip9MlspOtra2cmUidm3QSldh+lUgk4PP5MDY2hkAg\nwAIvZrOZnQ61U21lzQC4Tk3TpojRTuNBtVotb/7xeBxzc3MYHx9HPB7ntjaLxcJrF3u/KbsX4d6N\n7lHRqdHfiLrowDe91+LfiG1q9Hpy4GVlZaxqOTExwZPeqAzkdrvR1NTEsO9agkobmUgGo7WIx0o/\nI4IbOU7aj4k85vF4kE6nGUWQy+XcW06cALHkQWsUHfNm6vYiwpHJZLC4uIixsTHMzc0hn8+jvr4e\nLS0tcLlcHKwNDAwgm82itraW/9Fo22KxiJGRkW/B+2L/91b2pWfegcdiMVy7dg3vv/8+kyrcbjdO\nnz6NM2fOoLe3d9NwN9WZqA3t0qVLuHLlCubm5qBWqxkG6ezs3Bb2dyKRwPnz5xEMBuF0OlFTU8O9\nnwC4lnL9+nUmWr399ts4ePAgN/4/i0YQ8ZUrV/Cb3/wGw8PDSKfTPJClu7sbhw8fZk3iJ2kU3Y+M\njODy5ct8rqk8Qg/cTsHn2WwWPp8PV65cweTkJIxGI06cOIG9e/fCYDDg7t27OHfuHD755BM0NTXh\n+PHj+NnPfsbKf9RuREpTJITzLAdymzURoiT4nGBuGqNK9f62tja43W4mTknFVygbpxowbYJ0/kdG\nRjAxMYFEIgG1Ws3tZJWVlSWypY+zfiLdzczMIJFIMOemrq4OBoOBCbc+nw8DAwMIBAJQKpXo6OiA\n2+2GQqFg/W+VSlVC3iKHuxUyk+jIxTo6zSQgOFmqWS4qstG5XVlZQSQSwdTUFB48eIDh4WGex+By\nudDS0oLW1lY4nU7mkUinu63nhKQ1ZWKii1CxyGcQ6+G0vmQyCb/fD6/XywlDeXk59Ho9bDYbHA4H\n1Go1BzPk+Oke2oyDFJECsaUrnU7D7/djfHwcCwsLKC8vR2NjIxobG1FZWcmtj6SZ0dLSgp6eHm6D\nU6vViMViyOVyyGaz0Gq1rNAnCrm8MA6cajDJZJIvPvWDvvXWW+ju7t7Sw0jkh/HxcXzwwQd4//33\nWYe3rq4O//Iv/4ITJ07AbDZvSwZO9eEHDx5gZmYG7777LqxWK9+MgUAA169fx29/+1tYLBb88pe/\nRE9PD+t8P6uWSqVw7do13LhxA9PT00wisdls+PWvf42jR4+ipaUFlZWVT3xtYiueaEajEWfOnMH3\nvvc9llHdCZuamsK1a9ewuLiI1dVVnjDX2dmJXC6Hu3fvsghNR0cHGhsbuY0EeKjUdPbsWVy5cgXh\ncBhOpxMWi+WFIbAB3zgaahvz+/1IpVIs1UmTmrRabcksawAlGSMFNyIZbnZ2FoODgxgcHGRJUKfT\niebmZrhcLu4l3ki3+1FGEPX8/DwWFhagUqlgs9k44IjFYtyO6vP5oFar0dzcjI6ODm6ZonYukgYV\nnZfIlN8Mw5tM7FMnIho5WLG/W+wEoGyXeptjsRgmJiZ4GiLJFjudTnR2dqK9vR0NDQ0wm81rlhgf\ndU5F503OV2R6i86TzgMArtXTBLNEIsHCPYT6iRwSuk/o9xTYiwHMo9YpZuBi7TsQCGBpaQlWqxWt\nra2w2WwoFovweDw8Ha+lpQV2ux12u51LPIuLixgYGGDdEgqCSE9eLB28EBB6oVDgGhZdSLqoJpNp\nU9OaSDw/EolgYmICg4ODePDgAa5fv475+XkejXno0CHs37+foevtMCKypNNphEIh/OUvf2FSw8LC\nAu7evYs7d+4gl8uhq6sLp0+fLnHwz6L5/X709/fj448/xu3bt5FOp/kB7+npwdGjR7Fr1y6YTKYn\n3gq3srKCRCKBvr4+lt0Evun3J9nNnRhgQg/f2NgYLl++jHg8zhl/Q0MDTCYTQqEQB6RKpRK7d+9G\nbW0tO+9QKISBgQGWW1WpVDhx4gTa2tpeKCidHHgymeRhOtQGZDKZSghSYnYqJWwR+TMajSISiSAY\nDGJ8fByTk5Pw+/2Qy+VwuVxoa2tDU1MTrFYrOzQRygU2hlPF3xHUTdeM5JwnJydRUVHBrHcaLJLL\n5WCz2VD//1vgSFyE7hfKxgg+J8dFddDNsqdFZj+tUwx6pH3roiQoOe9oNIrZ2VmMjY1hdnYWyWQS\ner2ehUna29tZAIna0DYzyGSt8ymuT+x9FmF0WjOhEqlUismAxWKRr4VSqYTdbmfVQsq2ycRggO6b\nzRDuRAdOo5fn5+eRTCah0Wjgdrvhdruh1+tZIGh1dRVqtRpVVVWs109983Nzc7hz5w6LYjU1NcHh\ncDAKI/ISxGu6kT3TDjyfz2NiYoLhNeCbB0isZaxlYn8pjQu9cuUKrl69yvVanU6HxsZG7N+/HydP\nnkRNTc22ZmYKhQJutxtVVVUYGBjAxx9/jJmZGdTX12N6ehpDQ0MIhUI4ePAgDh8+jK6urm377O02\nqln29/fj7Nmz+PTTTxEIBFBeXg6Hw4E9e/bgxIkTaGlp4ZaIJ21EMLlw4QLGx8f555StVVVV7Zi6\nHm0aU1NTuHXrFjKZDOrq6tDV1QWz2fwtyF6pVKKpqYnroel0GkNDQ7hw4QKuX7+OTCaDtrY2fO97\n/4+9L22O8szOvlpSq/e9W71qV2tFCASyEHjwgs1gj+14JpPJzCQzHyapSiVV+Zq/kMpPSFU+JDWV\nmfLE5bI9tmfxggdjwBizCITW1trdUu/7LqnfD7zncPeDQALEZnOqKEA03fdz9/Pc55zrXOc6x9Hd\n3f2tdOD5fJ6lMOk70mg0TDIDUOOwgZuDHyhYC4fDWFpaQjAYRCAQwOLiIlKpFGQyGdxuN/r6+tDf\n34+Wlhbo9foaScyd1kJpzZSxkmwpyWAmEgnMz88zXC9qrpvNZjgcDrhcLj5bqJ5Pss3FYpGvWXSG\nIry8030lIwiZiHLEFaDsVGzfkslkSKfT8Pv9mJubY/Y0ADQ3N6O7u5tH+FLmTRmuCPnebj+l66Lf\nxTWKaAO9hr73xsZG5HI5hEIh+Hw+FnERhWzsdjtMJhMz8MX6tyhOczdkO3oPmeyGDG40GsXq6ipK\npRKamprQ0tLCCRcFFFQiJdIkCeYsLy/j6tWrmJ6exvr6OhPfHA4HdzDQNYvEvu3ssXbgxWIRs7Oz\nfDMBgNPp3FGNulwuY2lpCadOncLnn3+O8fFxhMNhbqTXaDTo7e3FP//zP2N4ePiBKHNptVocPXqU\ns4zZ2VnMzc3xyL7m5mZ873vfw6uvvgqv17urn73bVigUcOXKFbz77rt45513kEwmsb6+DqPRiJde\negknTpzA6OjoI8m8yWZmZvCHP/wBn3/+OZaWlvjnSqUSFosFXq/3gZLqRKeyvr6O3t5evPDCC5zx\ny+VyzhKoLESZxddff43/+7//w0cffYRMJoMXXngBP/7xj3Ho0KEHpof/KE2sSYoZNY3HzGazNYcv\ncLO9qlKpIJFIYGFhAXNzc1haWkIsFuNBGEajES0tLdi3bx+6u7vh8XhYLETaa71TKFV0TnQ/0bAd\n4upEIhFWUHQ6nXC73XA4HJy1kowqvR85QHH6oKj2ReQ8ANse5tLroD5ryj7pM8R+dWqFy+VymJ6e\n5l8+nw+bmzcGQnm9Xi71WK1WLlmQapr4vdxNsEGBCkHHYuZJ/eH0M7FVdWpqipXXqDZOw1EokyV2\nO6ELtJ8iUW6771vMiGUyGU8ci0Qi2NjY4Kl31LtdLpe5jY3+D802uHr1Kq5cuYLZ2VlsbGygo6MD\ng4OD8Hq93GEhsu53yuoHHnMHrlarMTw8zLAY1UAmJibw1ltvcQazleVyOUxMTODSpUuYmJioGbFn\nNBoxOjqK48eP48iRI0wu221TKBTo6OjA8ePHodPp8P7772Nubg6lUgnPPfcc9u3bh66uLvT29j7W\npDWCzd977z2cOnUKoVCIoS0SKOns7ITdbn8s1hkOh1m4g+pjvb296OzsfKD8Asnh6bgAACAASURB\nVDqUqWdVr9fXdDQoFAp2KH6/H+fOneM2s3PnzuHKlSuor6/Hj370I7z00ks4fPgww77fNqNMVqPR\n8MSsbDYLv98PjUaDdDoNg8FQkz1R9kgs6aWlJRbToHaspqYmdHV1YWBgAD09PRwwAbcyoIG7y76r\n1WqNrnhzczM7YHIsm5ubsNvt/ExYrVaWciVkgNrOyGkTHC1C56TMtdNMjNa51fWIkL80ayam/Pj4\nONfsqV3MbrfD4/HA6XQyqiYGHrR/d+O8pVkwBRKiGA59TxRwUPa9uLiIZDLJymsAoNPp4HA4GBkQ\nkRUpiiOud7v1ie9RV1dXo/qmUChgMBg446fvlERkSNvg2rVrkMvlGB8fRyQSQV3djVkdvb296Onp\ngdFo5PcWv7udIgXAY+7A9Xo9jh07hunpaVy4cKFGnMPn86GlpeW24i3ENI/FYigUCpDJZNBqtbBa\nrejq6sIbb7yB119//YEekA0NDbBYLBgbG0NLSwtKpRLq6uqQSqXwzDPP4ODBg7Db7Y99u9Di4iI+\n/fRTvPPOO1hbW+PDl0RRHrRj3M6IxBQMBjE/P18DoSkUCnR1dT0SVjyJcxBjmgbU2Gw2rK+v47PP\nPoNCoUCxWMTc3BwsFgueffZZ/MM//AMGBgYeezLjvRpxEgiJslqtqFQqyGazWFhYYCa5Xq+vqY8S\nVJnJZPgcSKfTXHe0WCzo7u7mCW+UIQGokSiVOp3bHehbQb+kWEaBIWVd+XyenRuRl2w2G8xmM+Ry\nOWesRFwT2c10iBPpipy7FIG4m/0FbraQiTVlap2jTC+RSGBubg6Tk5M1rXwOhwPNzc3svFUqFQcT\n9B47EUjZak+l1yMl8InweH19PXK5HHMLSGyGnKbVakVLSwusVit3LNDnSB3xToM2KYGNsnf6Gcm5\nUsBB2T51IxSLReZArK+vw+/3s9TqM888w2gGcGtAJSX0Sb9TqT3WDpyGTuzduxf79+9nJ06MvlQq\nhampqS3/LxFEqL+7rq4Og4ODOHr0KF5//XWm/j8MuLe+vh52ux1///d/j0KhgP/7v//Df/3Xf2Fx\ncREvvfQSenp6Hvrks7sxv9+P8fFxDoTIKb7++ut47bXX4PV6H+mwjVKpBJ/Ph8nJyRpWPK3z5Zdf\nxptvvvnQWfGBQADffPMNl2xKpRKWlpaQSCS4H5QOdZvNhp///Of42c9+xq0w31Yj1SwidxEMHQqF\nEI1GWRedxkGKBykJgFSrNzTEaQKXzWbjmndzczOsVmsNZC6tvd5tbZkclVhTpr5jrVaLRCKBarWK\ntbU1npSXTCbR2toKq9XKIjJqtRpKpZJr38RQJqdIjoFg1LvJxqRkO9H50GeIwjMEC9O41mq1iqam\nJrS3tzP5kroBqO1MhHpFp3i3NWb6TmlfpUQzCmLW19eRSCSYV0DvT9wbajm0Wq01BEEqIUgTo+2+\nd+n9QdelVCp5AA3tm9/vh1wu5++TxqFGo1Fks1meFGc2mzE0NISDBw/C6/XydYntfmRicLMd2Q54\nzB04ZVAHDx5EpVKBy+XC5cuXsbi4iEqlwlGvaFQ30Wg06OvrY/IFTSvr7u7Gnj17bhFUeZBGzsTj\n8eC5555DJpPB1atXcfLkSSwtLXFU1tTUxIMNyIrFItdVnU4n2tvba2abPygjklE0GuWJO+VymR+a\nQ4cO4YUXXsCePXuYrPEojFoNT58+jYmJCWQymZoHg9p7dkuc505WV1cHg8EAm82GRCKB6elpvPPO\nO/jyyy/5oU2lUvD5fMjlclhfX+f2nLGxMbz44ovo7Oy8qzaSJ8lEcpJCoYDFYuFDVqlUQqfTsdoi\nQeXkfGlPGhoaoFarYbVa0dTUBJvNBpPJxJm8w+HgZ5scLXAz49xqPVKTZnG0ZjGIoNGbjY2NLD5D\ng1QSiQQrdeVyOR7tSWUAmUyGVCrFUDBJvKrVauj1ei4VADenn92LiSUDMbOtVm+oyAWDQaysrHBb\nlNlsRnt7OwYHB+F2u2sQBIL3aS9Fgh05mp2wu0UUhBw4OW9yvmSZTIa7h4LBIOuIy2Qynrjmdrth\ntVpvUZij67/T93w7kzrwjY0bI02NRiNMJhOSySR8Ph+KxSKuX7/Oo2mptTCfz6Ourg5msxlut5un\n6HV0dHBQSmiL2Oa2FdKy3Z4+1g6crL+/nwkhdrsd586dQyaTQSaTqdG5JtiFWh9GR0fx7LPP4sCB\nA4+MGU1G0MvBgweh0WhYUm9ychKBQAA9PT1obW2FRqOpcYbisIeRkRE4HI6H4jCpHvnNN9/g8uXL\nWFtbQ6VSQXd3N1577TUcPnwYnZ2dD6Ql627XubS0hM8//xwzMzOcydA4yc7OzoeibU+BY0tLC4aH\nhzE+Ps6KUfTvBLMplUqYzWYYjUaMjIzg+eefx7Fjx7jf+9tutBfU/65SqaDX62E2m7GysoJoNMo6\n3qIDr6ur4zJYe3s73G43mpqamPFLOufkDMRWo3sJiMQMmL5fsce4UChwQGG327meOzExgbW1NSQS\nCWxsbCAej9eQmyiQq1ZvKLEZjUbWniBHScjD7Q52Wt+d1k7OR5rx0nAVIqxFo1HOaPv7+1nTW+wj\np2EiouqdiBJs931L1yyuh9YqZvebm5scCIky2iTVrNfr4XK5GAER1yHKr0qZ8TvJasWSA6ECSqWS\nUZ7V1VVEo1EWc6GyCKFmNA2uvb29hh+k0Wh4hCuVfSigkiIYO0WKnggHDtzQsD5y5AgGBweRSCQQ\nCAQwOzuL5eVlfg3VnEmGUaPRMLHgcRnPaTAYMDAwgF/96lfo7+/HxYsXUSgUcOrUKQQCgVsOcEIN\nuru70fb/pTYfxrUsLS3hk08+wVtvvcUZ4+bmJg4ePIi/+7u/g1arfWBqZne7TlF3nMxms+HAgQP4\nyU9+gqGhoYeylvr6ehw9ehQGgwG//e1vcebMGRZtUSqVsFqtTGCh77S5uRl2u/2JmDy3W0YHVUND\nA3Q6HZOC7HY7urq6uGsjl8txViuXyxmOtNlsnGlL26+IeQ2gRo6TPvde1ioS36htichV2WwWhUIB\narUaLpcLBoMBGo0Gc3NzWFlZQSqV4q4EyrTpudFqtTzwRKfTQaPR1KjK3Q0bmUw89EUCXGNjIwcf\nNPb3q6++wvz8PFKpFJqamuB2u3mcsjjQRCStiXtC67uXHnB6HylCQuukboTV1VVGMug7VqlUsFqt\nsNvtrGAoMuLFNuN72T9yqsDNDLyxsZHLuTKZDKurq0gkEshkMlymdblccDgcLMftcDh4aFK1WuWR\nonQ/iwGalFy5U3s8vNoOjNjjRqMRLpcLbrcbbW1tSCQS/BraSKfTCZvN9ghXe3sTmdtqtRperxeZ\nTKamdiaaxWJhGda2traHhiKsra3h2rVrWFhYQCKRgFwuh9PphMfjeaxmU6+trbHcI01ZAoC2tjYc\nPnwY3d3dD6X2TQ8eBQ4AMDo6yt9pY2MjtFotP9gkPKHRaB6LQOhhmuhY6NCmTMZgMPAsbZrjDYDR\nC41Gw46PHIjIVAduso+ln3kvJn6G6AyJfVwqlbC+vs7sZI1Gw+p67e3tSKfTHIyI7HIA3EtusVg4\n0RCVJe/FAUnXTsE+6YUXCgVEIhHMz89jZWUFxWIRBoOhJpsl8Su6XoLepdDyTjNw6ZrEfaXggJAC\n2msSTiGyIg0k0uv1LOna2trKTG4iitKwGVq3eF/cTZBBAQWts66uDiaTCV6vF1qtllsWCQFWKBSw\n2WwwGo38XapUKlaro/eggJOCTrG8cTuexhMPoUutoaEBVqv1kQ3KuF8jXe7+/n709/c/6uVsaaFQ\nCDMzMzUPhs1mQ7lcxsLCAh+kj4p8R1KcNIaS1knW0dGBw4cPP/S+9MbGRtjtdrz66qsP7TOfNBMP\nf/GwovICAM5OxBYbyqgB1GSGYo1cOtjkbrJDqYkHp5gpbW5uMmRPzoNY5gqFAiaTic+mUqmETCaD\nfD5fA5OStrtKpeLJeGLgsZM1i45+q/8nOiJyaqS4Fg6HWW6YCHY0Qzwej/PAl61IdfQ5t/vcO61X\ndFQidE7BQqVSYQGuSCSCSCSCRCKBQqHA5YaWlhaWxlWpVPx/RGhfRC92mt1K/11aelGr1cx8l5YF\niNdBn0swudjPTt+xGBBK6/bi87CTbPyJdOBP7cFbIBDA1atX2TGur68jFArhd7/7HS5evIjDhw/j\n6NGjDw2ello6ncbHH3+Mjz/+uGadZM3NzQ9U8/yp3Z/dyRmIh7DonOlgpAOZatJiHVV8v/vJXoGb\nB7oIyRK5s1Kp1PRzAzeJn3SYU6ZuNpthNptrWrnogN9KvON+1k3rlNZUyUkQCYzWnEgkeHgOCeh0\ndHSwshll7jKZbEtFs3uB+aV7LCIFlH1HIhGEw2FEo1GkUinuv9doNDCZTDAajTxRjlAQcRDMvaAD\ntzPpdYtBkbRcIfaxi6NM6TXiABlRfU7ci7uxpw78qW1pFosFra2tmJ+fZ1EUmr0sk8lYiP9RGY0P\nrK+vRzabBXCzhNLd3Q2v1/vICXZPbXvb6oCVOh1pL+5WPxezuLvNZKUmJTxRWxMR0ICbtVExuwLA\n/05qYiJ7nV5Df5YSrO51vXe6BjEYInKfTCZj4iA5FCpjiP9f/PtWwda91uilfxdRE9JNoLVSmx1w\nA6YmJrjBYODSk1Q7/m6Rge3WKQ2E6Hdal/SapCQ/cYiM9P3E/78TyFxqTx34U9vSOjo68L3vfY9l\nIuVyORMEDx06hGeeeeaR1sKVSiX6+vqYuV8sFlFfX8/Tv/r6+h7Z2p7anW2rA0pa993KuYmHPZk0\n8xEVt3ZjndL6r0hwos8Xe5dF9jIR6sQgQEqo243M+3b7Sb+I1U3rISja7XZDq9Vic3MTZrMZTqcT\nZrOZeRnitdD6pNd+P/ssMtHF1jRCVRoaGphXQARlq9XKg6wUCsUtJDBal2j3EmRIHaz0+5IiEeJ1\niDwBUS5WWjIS0aWtApud2FMH/tS2tM7OTrzyyivweDzI5XJQqVTwer3o7OxEc3PzI9U8B25k4Ha7\nHf39/RgaGsL4+Djkcjna2trw2muvPdaDYZ7anU1auxYz2dvBjHc6DHfLpP354iEsst1pzSI5i14v\n/l/6fbey7q1M6nyoHaparcJgMDC6plKpWB6U5mmLqm0PokNC/J7J0ZVKJZbFpb50GrlJ7YMmk6lG\nglQq67pb0LloW5HKpJ8hOuatggnpPbob9+pTB/7UtjSbzYZ9+/bB7XajUqlALpezaMbjoNtOjM6R\nkRE0NDTw7Ge3243u7u7HYo1P7e5tq0x3u4Nuq9c/iHXR79LM83Ykqa0y9gdt0oBAShikqXzkyCk7\nFPuZqX6/VSlit/dWDNLo73K5nDkDNpsNpVKJ++3NZjMMBgPX88Vr3E3byftt9Zqt4HHiUNDftwoG\ndvqZt6zhYd5c29hjs5Cn9tSeYHvsJNxmZ2cf+LO9VTb0qG2nzOyH8bliaUKEnLfiFWwF8YrO/EHu\nrchnkJZTRKRDSiB7HG2rWvydykfbmdfrveWFTzPwp/bUntpT+5abmPVJ++S3IlTd7u8Pw+4kJfwg\nCH8Pwx7UPj514E/tqT21J8buVN+83eH+MJ3QVmt72E5wu897HNCJ29lOmNi3uwce1XXdLxP/fuxb\n6cBTqRSSySQKhUKNBCApOen1+lvaJp7aU3tqj5dJHTIRnWj0pkheEntub0d4u9+D83ZO43asZ+nn\nb+d0divouJfM9HYliJ1mvA9iveL+idC/VHVP2pmwk/fdbduKmS5ew1aliDutcaf2rXTgZ86cwTvv\nvIPx8XHkcjn+eW9vL8bGxvDKK6+gpaXlKdHpqT21x9SkilobGxsoFotIJpOIx+NIJBI8zYv0yUV1\nQJVKxSIkDytQF52LlJkurevezuk8TJPWxUUT2fXi68V/f9AmOj4Sv8nlcigUClhfX2clO41Gw4NB\ngPub4LbTdUkDC1ofBZd0DxA5kH6JUrlbBSR3a98aB16pVBCPx3Hu3Dl8+OGH+OyzzxAIBGr0sWOx\nGKLRKGKxGF555RUcPnz4Wzu68btoJK86OTnJgyRMJhMGBwcfeV94oVBAMplEIBCAz+dj1rzBYIDV\naoXT6eTBJt9l26rFhibyBYNBzM/PY2FhAYFAgPWxafpTU1MTnE4n7HY7bDYbj+a8n2EmO13zVoQr\n6mcm5yidDHantqd7dZY7RQOk6xf/TRp83C67FNd2vz3h0vcVM+tqtYpisYhYLIa1tTWkUimUy2Ue\n3UtOUlzLg/iupY6bprTlcjmk02lWtKPBKxRgmEwmWCwWmM3mGjlV6T1zL0TMb40DL5fL8Pv9eOut\nt3DmzBmeUiZuAgnjLyws8Pg8t9t9ywzup/ZkGR0wsVgM09PT+P3vf4+LFy8iFoth37590Gq1j8SB\nE9ybz+d5et7Vq1dx+vRpjI+P8z1I84KPHTvG/fXftftRhGzFXyRPGolEMDs7i8uXL2NiYgLBYJDF\neygIcjgcaG1tRaFQgEwm46xH6ojuxe7U8yuTydg5k6iLKOwB3Gx1EqFUKYv6fjLcrRjPUpP2KANb\nD36RKomJAjmiw3kQsLn43rSOUqmEZDKJlZUVzM7O8gCr5uZmdpDiHoptfffaay29Run7rK+vo1gs\nIp1OIxwOY3V1FcFgELFYDJlMhgVzdDodT3kjhy6T3arzf697+a1x4MViEYlEAsFgkEX6tzJR0zsQ\nCODf/u3f0NHRwdrAT+3Js83NTRSLRXzxxRd4++23cf78eWQyGTidTgwPD6Otre2RrItmql+6dAmf\nffYZzp49WzPHXiaTIZ1OY3FxEefOnQMAtLe3w263fyfvR+lBRvBioVBAIpGombHtcDigUCigUCj4\nMF1cXEQ0GkU8Hq+Z/iUG6FvVrO/WyDmLgVapVGL4VLweUj8jBy5tf9qqlWs3TOpope+7lRMXJ65J\nXy/NiO+Ule/mmkkJcmFhAZcvX8bk5CQ2Nzdhs9nQ1tbGnCaVSoVq9VbZ0u2Qjp2YGAjQZ+RyOcTj\ncQQCAczPz2N+fh6BQKAm+5bJbvTdx+NxyGQynvtOGu7ioCh6/d2u71vjwBUKBdxuN370ox9Bq9Vi\nYmIC3d3dAG4MvkilUojH40gmk6hUKlheXkZDQwM++eQTHDt27IFnaMViEUtLS1heXq6ZW00mRmsK\nhQJyuRxGo/Ghj5vc3NxkzfNSqYRSqYRoNMozeePxOFKpFL++vr4eKpUKbW1t6OjogMVigVqtfmgO\naHNzE/F4HCdPnsSHH36Is2fPIhKJYHBwEC+99BIOHToEp9P5UNZCVigU4PP5cPHiRXzzzTeYm5vD\n5OQklpeXUa1WYbfb0dfXB4/Hg4WFBUxNTSGdTuPMmTPweDx44403YLPZvjNZuLSeCICdRWNjI9Rq\nNc8LL5fLMJvNnN1Wq1Xkcjkkk0mkUikUCgUEAgGe+EeztsVn6F6gSjETEyUzS6US8vk8l+bS6fQt\nutyUeRkMBiiVSp7wRdPX6EAn5ymOstxqvbczaRZK6xX7pklrvFAo8NjWYrGIfD6PbDbLg1poIItK\npYJOp+Oxp3Qeifu/W85cGsRQhjs1NYUrV65gcnIS2WwWHo8HPT098Hq9sNlsaGhoqEFApMps96qN\nL83gK5UKCoUCYrEYAoEAlpeXsby8jLW1NcTjcWxsbMBoNMJgMECtViOTySCZTMLv90OhUECr1cJq\ntcJisfDMcwAcDBIsfzfCNN8aB65SqdDe3o5f/OIXvFHPP/88gBvQ+erqKhYWFrCwsIC1tTVkMhkE\nAgF89NFHsNlsDHHs5qFJzpAG0585cwZfffUVpqenb3mtWq1GU1MThoaGmJTR3t6Ozs5OuN3uh1Kr\np+gyEolgdXUVoVAI2WwW8/Pz8Pl8iMViWFlZwdraGv8fgjBHRkZw5MgRdHZ2wm63w2Kx8DSjB7nu\nbDYLn8+H3/3udzh37hwikQhcLhdefPFF/PSnP0VXV9dDnUhGDuTTTz/FH/7wB5w9exbZbBYNDQ3Q\n6XTQ6/XYt28fRkdHMTQ0hFOnTiGXy2FpaQnj4+NQqVQ4cOAAzxT+tpvo6ERCj0x2QxNbLpdDr9fD\nbrdjY2MDTU1NjF7QgUo1yFgsBr/fj2w2i+XlZVgsFq6NU0ApDiERP/tO9+hWjGyamU3IwMLCAoLB\nIOLxOGfilNFqtVqYzWbY7XZoNBoolUpotVrY7XbY7XaoVKoaxyPWoMUJa7cz8d9EaVIpEa1SqTAJ\nkALxZDLJE8lSqRTPuSblM5PJBJvNBofDgZaWFlZjpNGaNNucrpWCkO3WKd1b6c+q1SoymQxWVlZw\n5coVXL9+HaFQCG63G319fRgZGUF7ezvkcjl/F1shDVtl3zspVUhLJJubm8jn8wiHw5idncXU1BTm\n5uYQiUSwsbEBhUIBp9OJjo4ONDc3Q6vVIhAIYHp6GtevX+cRzJ2dndBqtdDpdCxFTURLMQgRA487\n3ZvfGgdO0XpDQwNef/11vPDCCzyNqlKp8M07Pz+Pd955B+fOncPi4iIuXryI4eFhjI6Owul07mq2\nWy6Xsby8jC+//BKff/45Ll++jFAoVMOMF9ff0NCAU6dOoa6uDkqlEm1tbfjpT3+KH/7wh9DpdA+F\nTZvJZHD27Fl8+OGHOHPmDDY3NzkTp0OJDjyx9ry2toYvvvgCVqsVHR0dGB4ext/8zd/A5XLxQ/4g\nbHZ2Fh9//DEuXbqEcDgMm82Gf/zHf8TLL7+Mzs7Oh4peAIDP58Onn36KX//61/D5fAypeTweDA0N\n4ZlnnsHIyAj6+/uZQQsA//M//4NYLIaZmRlcu3YNZrP5kUH/D8ukTpTYvMDNEZ4y2Q39brPZjMbG\nRh4nKiUCFQoFRCIRXL16FVevXkUwGMTCwgIT29RqNb+nqK1O67jTGkWImXgN5LxXVlbg8/kwOzuL\naDSKQqFQk02tr69DoVCwwwNuHNhOpxNDQ0NobGyESqXijJaCCymDHdjeiUsZ5XSmNDQ0oFAoIBqN\nYnZ2FgsLC/D7/UgkEshms8wloCydnFU+n0cqlUIwGMTs7CwsFgscDgfcbjeam5vhcrlgtVp5Lrr4\nPd7NPUC/i4EUnSs+nw+Tk5NIp9NoamrCyMgI9u/fj9bWVigUCt5jgq2JOCgy0SmoEYOL7ZIKkadA\nZZxQKITp6Wl8/fXXmJmZQSQSgU6nQ3NzMzo6OtDV1YX29nY4nU7I5XI0NTWhrq4OoVAIhUIBq6ur\nWFlZgcFg4MBD/DxxzKwUhbmdfWscuAiX2Gw22Gy2W17jcDhgtVpRqVS49phIJDA5OYmLFy/i+eef\nr2Ez3osRVC6Xy1EsFvHee+/hzJkzmJiY4FqImBFWq1WUSiUUCgVm0gM3DrBYLIahoSE8++yzDLU9\nSKN67bvvvouvvvoK8/PzAACtVgubzYa+vj60t7fzFLJCoYBUKoVYLIZEIsEZeigUgt/vRyaTwfHj\nx/HMM8/wpKHdtuXlZVy4cAGxWAxWqxUHDx7EkSNH0NXV9Ugy2HQ6jUAggLW1NRSLRVitVgwODmJk\nZAQHDhxAV1cXPB4PLBYLAKC1tRV9fX1Qq9UIh8OIxWL48ssv4fF4vlMOHKh1UJRVra+vM2yt0+lq\n2rREW19f56l0iUQCiUQC4XAYKysraGlpgcVigVarvaU1aicHOR2uxWIRmUyGy3Grq6tYXl6G3+9H\nKBTCxsYGt7RVq1VGCDY3NxnmL5VKPIjD4XAglUqhqamJSwaisxYzsq3sToxzmpUul8uxvr6OWCyG\nubk5XL58GUtLS4hGozxDW6vVorm5GU6nE0ajkfee0A2aE55IJJBKpeD3+xGJRFAqldDY2FgDqYut\ncjs1ct5iEFAsFhGJRJjXoNfr0dvbi8HBQbjdbjQ2Nm5JApN+rohIiIHNnb570ZeQAycyJfFXlEol\nPB4POjs70dnZiba2NjQ1NcFqtUKv16O+vp7RH51Oh0wmg2g0imAwCJfLVTMffmNjo0YvfSedA2Tf\nGge+E2tsbITNZsPRo0cxPT2NS5cuIRQKwefz4dy5c9i7dy90Ot19ZYzZbBbnzp3jrOCtt97C3Nwc\nyuUyrFYrmpuba8Zwrq+vM5SVTqdRLBaRzWa51rK8vIzFxUXY7XYolcrd2IZbjLLsiYkJfPjhh/j4\n44+RSCSgUCggk8ngcDiwb98+vPnmmxgdHUVXVxeAG4I54XAYfr8ffr8fMzMzOHnyJObm5nD+/Hks\nLCygrq4Ora2tNTDmbhj1BS8tLWFqagqVSgVerxfPP/88vF4vDAbDrn3W3ZhcLofBYOBrbm5uxhtv\nvIFDhw7B6/XewjA3Go1wuVxQKpWQyWTI5/O4ePEixsbGHsn6H6RtBV1KoUoxI6dsm0g+lJVQhiI6\nisbGRhgMBrS0tCAcDiMcDmNmZgZra2sIBoNoa2uDSqVCY2PjLcNH7nSQ07orlQpyuRzC4TACgQBW\nVlbYkVGJhOqber2eiZXZbJY5JeTAKRBIJpMsOEXsZDHbp8/ejqks3VdqYaPnjbogJicnMTk5iVgs\nxgGPxWJBS0sL9u/fD6/XC6fTyQ40m80yuhYIBLC4uAi/349AIIBsNguFQsHXS+u/n3uC1l+tVhmu\nDgaDKJfLnEB0dnZCo9EwEkIIA+2XmNWKiIRIJNxJyURk4ou/KxQK2Gw2mM1mmEwm9PX1obm5GRaL\nhddC76FUKpmHUa1WmbGeSqVQqVSg0WhqUCcpbL6T/fxOOXDgBnxlNpvx4osvolAo4Ne//jVWV1dx\n+fJlrKyswGw2w2w23/P7p9Np/PGPf8TExARSqRRHqnq9HocPH8Zrr72GI0eO8OsrlQqTxFZXVzEz\nM4PTp0/j0qVLAG5kmJcuXcLg4CD0ev19X/9WViqVsLCwgFOnTuFPf/oT0uk0TCYTrFYr6urqsGfP\nHhw9ehSHDx+uIYRpNBruXR4cHMTY2Bj27duH3/3ud/jwww8RiURw9uxZOgMkKQAAIABJREFUuN1u\nvPnmm7Barbu25mKxiMnJSVy/fh3BYBBKpRL79+/HSy+9xOMGH4X19/ejqakJhw4dAgCeu2wwGLZE\nIXQ6HZqammpYqOVy+Y61xG+DibU+4MaBRbVAyuRo2pRIaqIMr7Gxsca5yeVyKJVKuN1uFItFlMtl\nRKNRFItFrK2tIZ1Ow2w2M1t5p+IZ9BnlcpnRlampKczOziIcDqOhoQE2mw39/f2MrtDBTAQ3ctgr\nKyuYm5vDysoKNjY2EI/Hsba2Bo/Hw9cgQsh321ZGryHSGkG/1MI4MzODRCLBJQmbzQan08loj8lk\n4r2nmeFUq29ra4PL5cKlS5cwOTmJeDwOv98Pl8sFo9HIPc73QmITr1Umu8E8J2QvnU5Dq9XC5XJx\n2xjtLTnMxsbGmpnwdE9InfDtGPa320v6vw0NDVCpVLDb7aivr4fL5UJjYyP0ej0T+0SOBX0HRAIk\n1U+6HwiVUSqVvCbaO8rK6fO3QzO+cw6cHhSv14vDhw/jww8/xPz8PMLhMB8Y92NUPwqFQgiHwwCA\npqYm7N27l5231+vl129sbPDM7XA4DIVCUUNyo4f/XvtXtzNqq3v77bdx8uRJhEIhyGQydto2mw3N\nzc0MnYsoAD1A9DOKxKPRKBKJBM6dO8fZ+LFjxxg22g3b2NhAOp1GJpNhZrLb7eba2IMm/N3OiKWr\n1+shk8m41el2101iEOJDuputOY+jSUlX4ndFdVsRViXUgqBhOlSp/kmHc7VahUKhYIdjMBg460kk\nEmhqauJsaKfrJAiV2NuJRAKrq6vw+/1Ip9NoaWlBW1sb9u3bx1A9tbaJylzZbBbVapVhVGonzOfz\nW9a9xSBjp/eyiGBsbGxwFnv9+nXMzMwgHA5z0N3R0QGn01lD9FMqlUxkpSxeLpdDo9HAYDBAo9Gw\nE1peXkY0GsXCwgIH+gaDYUfnlHg90nudPp/2p1KpwGg0ctbb0NDA9W5yeqJYl3QfxF87cYjiOuh7\nAW6cdUajEUqlkueVk7IaIbZUi99KLpU+f319vUapjfhZogywCKVvt9bvnAMns9lszAjc2Niokei7\nH6urq4NWq62Bizs6OvDiiy/i2LFjcLlcNa+ndhdyfktLSzW1W4qmd9vo5ohGo7h69SrefvttDhyc\nTifGxsbwt3/7t2hvb98xi7uxsRFutxtjY2NIp9OYnZ1FJBLBxMQEAoEArFYrEwvv1yhKz+fzqK+v\nh9FohMlkemAoxd1YQ0MDTCbTjl6bz+eRTCbv+757kkzMnKW/0wFGzlok84gCKfQ6cvDiQajVatHU\n1AStVsuyqwRVS2u02zlHkRxGdfBcLodcLodqtQqLxQKv14vOzk6YzWZ2LPS+JCRDbUQUeNBZIzoC\nsUQgFSPZal1k4r/Tn0ulEiKRCObm5nD16lUsLi6iUCigpaUFAwMDGBgYgN1u55ZPhULB10hBFQUv\nxEhXqVSsOBaPx5HJZLC4uAin01kjZ7oT+JeuU3odVK4gRbP19XUYDAaYTCZGNmg/ZTIZt7sSeiFm\nzrR+USefsnTpHkr3lmrTtC6ZTMZyvVTaEV8nk8lqEkDaSyqfUNlHRBsoMBTRBNqDndp31oFLrVAo\nYGJigmuX92qU4ZPTraurw8DAAI4fP35PGSg9+LvtxClyPXXqFH7zm9/A7/ejUqnAYrHg+9//Pp57\n7jm0t7ffE4vb5XJhaGgILS0tSKfTWF5exh/+8AfI5XKMjo7uyvoLhQLGx8cRCAQYxtyt4OBhWi6X\nQywW40Ph226iQ6S/AzdFWwBwBrjV4S4emnQ4E4RaLpf5/1KLE8HI+Xy+hsG+04OSHAJ9jtiT3tjY\niO7ubg5yKbtSKpXcsUGtqQTDU6BGXAm73Q6j0Yj6+nqu6Yr7RGvY6Tpp/zKZDJaXl3H9+nVMT08j\nn8/DbDaju7sbvb296OzshFqtrhkQQ45K1I8vFouoVCrcv26xWNDW1obFxUUsLy9jdXUVa2trcDqd\naGpq2tZ5S/9Nir6QU6O2tnK5DK1Wy0lEsVhkZyeWYcS/i3Vv2setsmKpSTNfCvakKJCYaVMph+5F\nCjJF0lsul+P9BcABhYjSUGeEeF8+rYHfhRFTVArH3K1ptVocOXIEpVIJVqsV7e3teOGFF9DR0bEt\ntFsqleDz+RCJRPhnDocDPT09u94ORQHLmTNncOHCBWSzWTgcDgwPD+PEiRMYGBi45/5pnU4Hj8cD\nr9eLQCDAEqdbCdjcq62vryMcDiObzUKn02F0dBRtTyBrm0okBKt910wqsiE9eAHUZFPia6TolHiQ\nixm7qKFwt86b3qexsREajYY1I3Q6HXQ6Hfr7+7lVUqxf01op4y4Wi4wYkcwmIW/k3EUnKl7jTtYp\n1r2JV7O8vIyFhQVkMhl23l6vt6YUthU7W8rUJydfV1cHjUYDp9MJh8OB1dVVxGIxxGIx1qXfzrYi\nrYl/pr0gwp9arWbir1qt5vox3R/EtidWOjlCaV/6dhC6FMaX3oe0t2IXhPTeIyidnD8FRqJADxEy\nKbCjGj4hNd9ZIZe7tQd1WOp0OrzwwgtQqVTw+XwYGRnBnj17toVUK5UKEokExsfHEQwG+TByu93o\n7e3ddQZ6NpvFl19+iW+++QbBYBByuRx9fX04fvw4Dh8+fF8ohEKhgMlkQmdnJ65du4bV1VUsLS1x\ni9z9miiiUSqVYDAYMDY2hra2Nq45EnQFgB8Q2lPKch4Ho9oqPeR1dXXQ6XQPrOPgcTDRmYrOgrJW\nEWoUa5jAzedWrE+K6m2NjY0sa0rvJbY53Y0ql9SBa7VaOBwOyOVyNDc3c7eBxWKpIdzR+9IhT847\nGo2yUhsxlLVaLQdvJAhCa5OiFVtB5fRncgblchmFQgFra2usEtbQ0IDm5mbs2bOHuQEAeI+kaIgY\n8IjPSrlc5iycauaklkayoNvZVtC/WOcngloikcD6+jr0ej0LyDQ2NiKdTjNsTmQ7IoPRtZBjFfeV\nSjLiGnYK85OJzyh9t4So0N+lEL14b1KgIU4lI6evUCg4UBJ1DrZb5+Nzkj0CexBkocbGRng8Hrzy\nyiscQe4kk41Go5iamsLly5exurrKbSlWq/WBQOjZbBZffPEFZmdnIZfL4Xa7ceTIEZw4cWJXWrDk\ncjmcTicMBgOKxSKuX7+O1dXVXVg5WJQiGAwim83CZDLB4/FArVYjmUwiGo1ifn4eKysrkMlkaG5u\nRktLC7e93E+XwYM2tVqNoaEheDyeR72UB2Ii61wUGqHDjLIPMQOl/0PZFXAzW6QDv1qtcumqWCxy\njXZzc5PhdJEYR2vYqROvr6+HUqnkKWebm5usw93Q0FCjwS2iA8Q2X1lZQSAQYKU2i8XCLG+6Hqmk\n5k7PJzHIKZfLSCQSmJ+fh9/vR7FYRGdnJwYHBzEwMACLxcKwL4CafSHnIZb/SKSFEEq1Wg2tVguj\n0chcHSpP3M9ZKgZmNDaWpEmNRiNkMhkSiQS3sJETV6vV0Ov1UCqVUKvVLJtL3zOtXdrxsJ1J27nE\na6N/k9avRTlcShjEoIgkdenfSOOASK4ii36ne/mddeBzc3M4ffo0otEoKpUKOxyj0Xhf70s3/U4z\nKNLN/vrrr3Hq1CkegWo0GvHss89iYGAAer1+V9uiMpkMgsEgM2m1Wi3GxsZw4MABeDye+xazAW4S\n2oiZSg/5bhiNl0wkEtyWMTU1xe09a2trPHkOAMxmMywWC1QqFQYHB3HgwAF4vV6o1epHxlYnS6fT\nCIVCHMk3NDTA4XA8FmS8B2XiQSqtgUqzbSmxirI1ymykjOZcLsctmblcjrMvgjRpjvROTTxMSdaV\nPls8uEXYHgATYxOJBGZnZ3Ht2jX4/X4UCgVoNBq0trbC7XZz/Vt04HQv3K1DrFarLNu8uLiIdDoN\njUaDrq4udHR0wGazQS6X12SGtIdSwhwhCuSkKVAiB0Tz1sXa/nbrvRNpjD6fxG9IMKVQKMDv97P0\n6/LyMjKZDKMsxJBXq9Ww2+3weDwM9VPQRd+76MSl5+lWtefbMcLFZIpaxKhNjPgDdC9SeaFarUKl\nUnFCBtw4+8mxE9y+1T6KCIXUnjgHLrL4RBKAeNG0EbSZ9GWJgv5ff/01PvroI4RCIXbgdHDeDYng\nXoweICKafPbZZ/j0009x/vx5JBIJ1NfXw2q14sUXX8Tg4CDLbe6WBQIBjI+PIxaLoVKpwG634/nn\nn8fAwMCuqZfV19czc3S3bX19HYVCgWUgk8kkPvnkEwSDQVy+fBnxeJyjW6o10Xc5MjKCSCSCarWK\ntrY2DtgetiOnLCsYDGJqagrFYhFyuRw6nQ4Oh+OJJORtZ1IYnMhoIvmIDit6tun3jY2NGhEcqsnS\n801OvVgsYnl5GSsrK8xi3tzc5IxNbNnZzmgt9DvB8bR2Wrco/0qM+Ewmg3A4jPn5eUxNTXEbF/UT\nd3d3w+12Q6vV1mTs20Hnt1sn3U80c97v96NcLsPlcnHLmFqtrkEKRDRCvEbafxEFoKlqdJ3iVDWx\nNrzd9y+F0KXXSkx/GriSTCYxMTGBcrnMAj0i4VOlUjGT3ul08qAlh8MBo9HIzHi6BhFivxOhTrq+\nrQJGmUx2S6ZNMHk6neY+/2w2yzMjqG+e0BIx4CO/JXZebLenT5wDF/ViSQUsGAzWkM/W1tYQi8VY\nxo60hqm9a21tDZ9++im++uorJl8QW7VUKu2YPHKvRhnpyZMn8d577+HChQvcG7q+vg673Y6enh7s\n2bPnvmrRt7OzZ8/iv//7v5lURgM2dhO23djY4Cj6Qdrm5g3N5Pfee48hLYL9Ghsbufd3Y2MDc3Nz\nuHTpEms7//Vf/zVefvnlR1ITpz72K1eu4PPPP0cmk0FTUxP27NmD0dFRNDc3P/Q1PUyjQ5EC8Hw+\nz5kStVnR80gHGzkWcsp0eBPsTO+zsrLCGWhdXV2NgEapVGKIdadrlNYjyWGJ9U4KLiqVCtbW1jA3\nN4eZmRksLi7yGNT6+no4HA709vaip6cHFoulRiWMrp2u8W6M1kMCK4lEAjqdDi6XC01NTVAoFCiX\nyzUlAbHeKpL+6P3od1oXcQkoSyZno1Ao7voZkgZztCYKRIjUlcvlMD09zbKucrkcJpOJ9cSBG7X5\nWCyGhYUFbhns7e2F1+uFx+PhgIOuf6frIwcq7pGUUEmOl4IDyqYjkQhLKlcqFXbeHR0dzB8g3yOS\nGKvVKmf10j3ayp4IB55MJvmhWF5eZtEVglGlfbSpVArZbJZrI5SF0Y2WSqWwsLDAkoIymQypVAof\nfPABj/Uk5azdtkqlgtXVVbz77rv4y1/+gkuXLmF1dRXlchkqlQp9fX04dOgQnnvuOXR0dDyQDDYU\nCmFmZgaFQgFdXV04cuTIrkq1rq+vI5lM4vz581haWoJSqWSR/wdhxLolRazvfe97PAlNr9dDoVCw\nctv58+dZ7Y4mQ42MjOxqxkuH3urqKtc9aQIe9d4CN3gPFy5cYKifsm+TyfTQh7A8TKNDkZ7heDyO\ncDiMfD6PUqmEcrnMvdZETqLAnf5dJrvRl6tWq2sEMEqlEuLxOCsgkkSt1DHu5HAU10smnRglZnP5\nfB7xeBzXrl3DxMQEfD4fUqkUqtUq9zL39PSgr68PNpuN6/VAbRYrZsI7Zc3TfpIGPAmgNDc388AR\nWqeUAyDCy0QEpPo97Zf4M5rAVigUmE1P+7ydSevQUsIf7TH9uVQqIZvNshobkQa1Wi3X7wuFAhYX\nF7G6uopUKoWZmRkAYMU54hBJ13c7aFokL25FuqMZEMlkEplMhmvy1KlQX1/PQ25SqRTXuVUqFXci\nEZGRggsx0aG9FAl4t7PH2oHTTenz+XD27Fl88cUXLEpAxJXtbCvIRmq0kRMTE9i/fz8KhcKuQ5j0\n0IfDYXz99df4z//8T8zOznLvp16vR3NzM44fP45XXnkFY2NjnEnuthUKBaTTaQBAd3c3nn/++V25\nXtpbEng4deoUFhcXYTAYcPToUdZQ320jdrnX68UPfvAD/OIXv4DL5aqpVdFDbrPZUCqVMDU1hdOn\nT/OQhN0UmCEW8IULF3DhwgUsLy9zG113dzfPs47FYjwwhq5jY2MDa2trTMoh9OjbZlRTjcViWFxc\n5MOOZFDJgYuZkJiRUyuOqMxF2Q85eplMxhPfKKMju5NTlELXIswrwsoiFF+pVHh61sWLFxkyJ+1s\ncj69vb3o6uriOihB+hRciMIuYk36ThC1iGZQUkPDNDweD8xmc41sp7ReT9dFfyZSIRGrCBaWyWSI\nRqNYWlrCysoK8vk8j0rVaDS3PavudE6LaxEha0JVqFTS3NyMoaEhDA0N8VAa+s7L5TIWFhZw9epV\nXL9+HSsrK1AoFDCbzejo6ODznQhtYqnmdiaWNGj/6Z6NRCJYXl7G0tISAoEA0uk0KpUK96vLZDIe\n8JTP5/lzSqUSkskk6wlQAkGthoTikFwslS2e2Ay8UqkgEAjg/fffx//+7/8imUwil8vdN+NRaq2t\nrTh8+DB+8IMfYGhoCE1NTbuefROL87PPPsNvfvMbBINBrtMbjUY888wzePHFF3HixAk0Nzc/NDlQ\ni8WC1tbWXRs0srGxgampKXz88ceYmJhAPp9Hd3c33nzzTezdu3dXPkNqDQ0NaGpqwrFjx/Czn/0M\nNpvtlsNEoVCgra0NP/zhD2Gz2fAf//EfyOfziEQiuyKhS5bL5Xg++ZkzZzA9PY1yucyCGJcuXeID\nkup9ZH6/H59++ilyuRxGRkYwPDyMffv28WH/bTFyGHQY+nw+TExMcIsVEYKKxSI7YZVKxXO0iduS\ny+VYbpPEXCiwp3YnmmNtt9sZjdkpG/lOjpx+TkFXKpXC4uIirl69iunpacRiMdTX18PtdqO9vZ3H\nTba2tsJqtXLGRX3BhCwolUpGCikz3gkjnZxdoVBAsViEWq2G2Wxm0pRY1wZuOihCJ4lvQIEAXZ/Y\nX55OpzE3N4fx8XEsLS1hY2ODgxODwXBL//h2+yn+TPwzvQ8hAGq1mkcUd3d3M8dAoVCwc9ZoNNBo\nNNyJQtLUyWQSOp2OkZqdfO/0GrEtjNrlIpEIZmdnMT09DZ/Px2z5hoYGaDQa9hvUGkoCQ/F4HD6f\nD/X19TwHvr29HRaLhcm0RH6moISy7yfWgYvEDKpzS9mTZKTpK0Jr1WqVCS1bmV6vx+joKEZHR3nc\no9Vq3dWpWWT5fB7j4+M4e/YsLl26xNN8XC4XTpw4gUOHDmFoaAgdHR33LKByL0ZDIO43WMjlclhb\nW8PFixdx+vRpnD17FpFIBC6XC/v370dnZ+d9M/zJqCeXtImr1SrUajWamprgdrtrRDXIKLJtbW1F\nIpGAWq3G2toafD4fQqEQrFbrfZUrCoUC5ubmcPHiRZw/fx5nz57F8vIyw3+kk61UKrGwsICFhQX+\nv0S2K5fLCAQCOH36NFZWVjA+Po7+/n7s27cP/f39sFgsD3S2+sMyMWOkMZvxeBz5fJ4PQvoOiVFM\nvfHEgl5fX0c0GkW5XObarEwmY6a0yWRCS0sLWlpa4PF4YLfbYTab+bVk2x2QIgtZ2hZEzpsGlczM\nzGBubg6ZTAY6nQ5OpxODg4Po6OhgMRKdTsfOSSoJS5mZGOBt57i32leq2YoEKbEHms5Vei05aNoP\nALy29fV1lk9dWlpiXfV0Os1CVR6PB0ajsWYS1073U7p2Yo5rtVoolUqUSiV2ztR3TvViCuIIoqbx\nrBqNhkszqVQKNpuNyWzi9347E/u8K5UKM/uJWzE/P8/3ntVqhVqt5nMol8shlUohl8vxtRB6kUgk\ncP36dfj9flitVsTjcdaj1+l0NcN2xH26kz3WDryurq4mkgyFQrdtRSJRhYaGBu6xJJEM0YHTF6fR\naNDZ2Ymf/OQnGB0dRWtrK9cvdtsKhQKCwSBOnjyJb775hsljLpcLzzzzDH7xi1+gt7cXWq0W1WqV\nW65E5icA1iyWsuvvx/lms1lEo1G0trbeNWRPtd58Po/FxUVcunQJb7/9Ni5fvoxQKAS9Xo/BwUE8\n++yzPIhgN0ypVMJkMsHpdGJlZQXpdBrV6o0WGtpbgk6lg0QUCgV0Oh3q6+uRTCaxvLyMUCiE9vb2\ne3bgVIM/efIkPvjgA5w7dw6bm5swGAzweDxMXnG73ZxNkQMnzoXT6eRhGcQivnDhAux2O15++WW8\n8sor6Ovrg91uh06nq4FXn0QT2b2iYlZDQwNnyQSlitkVweE0p5ramYhMJJfLYTQa0dLSgv7+frS1\ntbGKl9gPTmvYbo1Sk8K9pEkwNzeHubk5BAIB1NXVweVyYc+ePRgeHobH42FOBtX9iZlMPdnkwMWs\nm9CZndTAxbotBRZUKstkMlCr1TU1ZoLsiQNEQYOITmxubiKbzSIYDGJhYQFTU1NYWFhANBqF0WiE\n0+lkohjNwBbPq9vtp/RaRGSjvr6e5Wq1Wi0KhQIL1EQiEeRyOUYtiKC4vr4Om83GzzbtsyhjCtxs\nHduO3S8S+qjMMzs7i6mpKczPzyMWi0Gj0cDtdqOjowMmkwkNDQ1IJBJYXl7m7gcStNLpdKy4KE6e\nJAfudDrR0tLC97s4qGc7uP+xduCkcT0yMoLFxUX8/ve/RywW2/K16XQafr+fKfwNDQ0Ih8NYW1u7\n5bV1dXUYGhrCa6+9hqNHj8Lj8dxxYtT92vz8PD777DO88847mJ2d5WsbGxvDL3/5S3i9XsjlcoYD\nV1dXGTkQ2fWtra3o7OzkAGU3CG5XrlzBu+++C7fbzSSLnRpBoBcvXsSf//xnnDp1isVV9Ho9Xnrp\nJfzwhz/EsWPHdrWvmQRZOjs7MT8/j3g8jng8jo8//pjFYoaGhvDMM8+gs7OzBtEgVSyRjLSTFpg7\nGUXWH3zwAa5cuYJqtQqv14tjx47hhRde4Alp0WgUH374ITKZDP9fl8uFkZER/PjHP0Y8Hsf58+fx\nySefIBwO8yjId999FxcuXMDBgwfxxhtv4NixY1uiDE+KiWQpnU4Hi8UCq9WKTCbDULDIliYIk7oM\n5HI5stksk4eoFFGpVKDX6+FyudDb24uBgQHOerfKau6U3Ur/TeogifVOE7mmpqZYOIUOZGIcy+Vy\npNNpzgrFwSrk8HQ6HYxGI0+xI2dGwYu0Ji7dT6oJEwwbjUYRCoWwsLAAnU4Ht9sNs9nM89BJhU0U\nHqG9L5fLvL9LS0uYnZ3l4KRcLkOv16OnpwcDAwPo6uqqQS3v5MCley/W4elnNP3MYrHAYDAgkUgg\nnU5jamoKqVQKer0era2taGtrYwIYPcu5XI73t1gs3lLuuJOUqnQ/KQhKJpNYXFzExMQEFhcXuVuk\nr68Pe/bsQUtLCwAgHo8zM5/kXq1WKwYGBtDa2spZPMnPZrNZzM3NYW1tDX6/H6lUipn21C0lbYHd\nyh5rB05RKTGlZ2ZmMDk5iUQicctrs9ksQ0V0s28l8afRaLB37168+uqrOH78ODuuB3kYRiIRTE9P\nIxAIMLRCpClq+aD6SiaTQSKRYBKEWJ8lCUONRoOWlhY0NzdDrVbzn6k+uJ3RJDZShzp37hy8Xi/r\nOrtcLqhUqpq+W4I8Kbjw+/2IxWIIh8OYmppi8ohGo8GePXvQ39+P119/HQcPHoTVat3V/a2rq4PJ\nZMLx48e5DppMJnH9+nUkEgl0dHRgz549NXUvsomJCfzxj39EPB6HRqOBy+VikZd7NZ/Ph5MnT2Jm\nZgbFYhEejwevv/46nnvuOezZswdKpRJTU1M4c+YMzp07B7/fz9yHI0eO4K/+6q9w6NAhFItFtLW1\nobOzE1evXsXU1BQWFxcRj8fZAVDdb7eZ8w/TSIFNo9GgqakJbW1tyOfzCAaDDKWT6hoRhwgipyw6\nn88jl8vx801llNbWVvT09KC7uxsul4sZyOIEKbKdBm3SGrjYK51KpbC6uopwOMzPNtU0k8kk5ubm\nsLGxwUgXZYWlUolJeYQaEMRPKITVaoXT6eRs8HbPNjknhULB70Ma5aS0WCgUOJghRjk5NOIOpFKp\nmnuNMspQKIRUKsU1/ebmZgwMDKCzs7NGV52CgTuZNIiiNdAeU9ba3NzM52GhUMDKygqSySScTicP\nhaJngVCLtbU1zM7OIpFIoKGhAWazma9XPH92chbRfRcOh5mstrm5CY/Hg8HBQfT396OlpQV1dXU8\nXnZxcRHRaBSbm5uw2+3o7e3F8PAwWlpakM/nsba2hmAwiJWVFQSDQR7WEg6HmYeQyWTgcDhgsViY\ns3EnVPixduBkDocDBw4cwNzcHADg+vXr3GJCNwI1/gM361OiSD+Jxns8Hrz66qs4ceIEhoeHH8r6\nSdRBhHKUSiX8fj/+/Oc/szLa6uoqEonEjh6E9vZ2dHd3w2QyYXh4GIcPH2aG5nbW0dGBQ4cOIZVK\n8aCR999/H9PT0/B6vRgYGIDNZmO4slq9OWDg2rVr+Oabb3DlyhWsra0hlUohkUhALpfDbDajv78f\nIyMjGBsbw7PPPsuiBbttpDmfSqWY8R2LxVAqleD1emugVYLZ0uk0vvjiC/z+97/nWc779u2D0+m8\nLwc+PT2NkydPIhKJwGQyYWBgACdOnEBnZyeAGwjMJ598gvfffx/Xrl1DuVyG0WjE0NAQXn75ZZw4\ncYIhzra2Nhw4cAAXLlzAqVOn8OWXXzJsOTc3h5MnT0KhUPAErMdJ132nRjV/6osGwPVPKsmIRFWx\npYpmMVPGTYe/VquF3W5Hf38/+vr60NbWxvVmUrmiVql7vR+lDpz0HKhtdXNzk6HoZDLJn5nL5biO\nTGsgiLdYLEKlUrGaGPVbm0wmdHV1Qa1Ws2zpndqeyKFZLBa43W6srq7y3O5qtcrz0KmHmvQxRPZ6\nIBDAysoK147JoQM3njeaI97Z2YmOjg7mjYjs/Hu5F0SjYKatrY1LDQsLC0in08x6pzr4+vo617ap\nzXhqaopr01S6EPXld/o90wx30hqJxWKwWq3o6upixUq5XI7l5WVZQocWAAAgAElEQVTMzMzg6tWr\n8Pl8XLP3er0sX2s2m1nfw+l0wmq1wmw2Y3V1FZFIhM8wQphoH4jvcSd7Ip5+jUaD7u5u/Mu//Au8\nXi8++OADfPXVV6wkJjVqLyAog6D4trY2DA8P47XXXntgLU07MSLgZDIZXL9+vUYMYCfOGwBP+Wpo\naMDXX3+NCxcu4N///d935MCHh4dRqVQwMTGBbDaLXC6H8+fPY3x8nIlClIlTlpdOpzE9PY14PM6z\n00UYzuv1YmxsDN///vfR39/PiMCDMsrG9u/fz2zlS5cucdvG/Pw86uvrsX//fiiVSoTDYXzyySf4\n85//jIWFBahUKjz//PP4+c9/Drvdfl/ch2AwiImJCRSLRXR0dODw4cOwWCwIBAK4evUqTp48iUuX\nLsHn86FYLMJsNmPfvn3413/9Vxw4cKAGKaDM/PDhw+jp6cGxY8fwxz/+EX/6058wNzeHhYUFnD59\nGq+88grPQH/SjBwOwYRE3FIoFKxtTfeZdAKUKKKiUqmg1Wqh0WjgcDjQ3t6OoaEhrnkTA5ieL4Lk\nt2shojWSie1HxDgW1bKAm+pkANj5idA+MYrJgdL6NzY2WI2NVAUpC6e1AzsbvEJqkr29vchkMtzi\nNDs7i4WFBSZ/mkwmVknc2Njg/vW1tTVEo9GaAR00J6Grqws9PT1obm7mWetizX6nSmxSyFwc/EF1\nY0q0CIWpr6/H6uoqjxJNJpPw+XxMRi2Xy7h69SrL1TocDuzZswcDAwOwWq3cXkhBxnbfPXF7MpkM\nYrEYn9WEfgI3nvlIJMJdBysrK6hUKnA4HOju7ma5Zo1Gw10SNpuNCXoOh4ODcp/PxyUzUpfc6XTC\nJ8KBEyylUqlw9OhRGAwG7N27l1WOqKG+VCpBp9PxJgwMDLAj8ng8XJtqb2/fNcnQezGqn1EtimZ+\nm0wm9PX1ceQoNdIADwQCCIVCCIfDHGnbbLYda42bzWYMDw/jn/7pnzAxMYH5+XnMzs4iHA4jFoth\nc3MTq6ur8Pl8HL0Wi0WWnW1oaGASGQ0SGR4exsGDB9Hb23vfjO6dGB3Gbrcbhw4d4tah8+fPc7ni\n/PnzOHXqFNcgJycnEY/H0dLSgueeew4nTpzgSW/3gxKUy2XWOw4Gg/jLX/7CZBZiJ0ejUQDA4OAg\nDh48iGeffRYHDhxAU1PTlmMJDQYDNBoNjEYjw6kffPABZmZmMD8/j9/+9rfY3NzEsWPH7nsvH4XR\n4USQuMfjQUNDAwwGA9xuN5eQstlszSxv+n+kskekPoKb3W43M4JFEpBUGGUnRg5arJ+KaxfZyiLq\nJz6HKpWKuyWIrGiz2WrGRiqVSi6hhUIh7uGmzHu7WqhIdKKxoQBgt9sRDAaRSCSQyWT4Vzwe5/Yr\n4OYAEUI3KCjS6/Uwm81obW1Fe3s73G53jWiLVMJ6p/tJf5bWownpo95zi8WCrq4u1hgPhULI5/OY\nnZ3F8vIyI4SVSgVLS0soFouwWq3o7+/nJEK8F0QtdFqDdB9pPyj4oqmGxWKRhyQRShQKhRAMBlEo\nFKDX62EymeD1etHX14fu7m4mr9H7EipI9X1qdyW0icpK9EzshJP1RDhw4OaX7/V60drairGxMczP\nz8Pn8yEYDCIUCiGXy6GpqYmz00OHDmHv3r3o6elhLeBHATmqVCqYzWaYTKaaIfEGg4F/rtfr4fF4\n8PLLL992GlUul0MoFML4+Dimp6cxNTWFixcvYn19HU6nc8ctRjRo5Fe/+hXm5+dx+fJl/OUvf8HU\n1BS36xHsSBrdcrkcLpeLOwPogW5tbcXevXuZrAE8XF1xvV6Prq4u7jogpGBubo4PUiqhKJVKdHZ2\nYnR0FD/72c/Q09OzK61tdDhns1n4fD74fD7+N9Eht7a24tixY3j55ZcxMjKybdcD1fHGxsbQ0tLC\nugHXr1/Hxx9/jD179jxRDlxKYKIMi1CHxsZGmM1mtLS0cGkmHo9zQE6wqUwmY5Uxl8sFhUIBjUbD\njofKJqLG+HbOQzTpIU9/F50oPcOEGmg0Gn5uCMXSarV8WFNtmtqGSAebWMeRSAR+vx+BQADVapWz\nNL1ef4sIjdQoi93Y2GB+DMmoBoNBDvhpsAY91yQcQygIKZzRWolz43A4uF2KPkd03tLASPr8b7Wf\n4r0gtrwRiW5zcxNKpRJut7tmuEs4HOaJZIR6kBNsbm5Gf38/Dh48yMEGIYR3M41MLAk0NDRwqYrQ\njGAwyCWR+vp6OJ1OtLW1ob29HV6vF+3t7TCbzSgWi8hms5xs0DqVSiUMBgP0ej3y+TyLaslkMhgM\nBhgMBhZ42W6tT4wDF40gcb1ej76+vhr4WWyCp9YTUU71UVhXVxeOHz+O9fV1LC8vo1gsQqvV4sCB\nAxgdHUVLSwvXO/R6/W0DDa1Wy8pOo6OjDOHU19fD4/HclW46tY60trbCZrNhbGwMoVAIa2triEQi\niMfjSCQSSKVScDqdHFBQVuhwOLhXk4Q2HpXR6NXXX38d3d3d+Oijj3Dx4kUsLi4CAE8B6unpwdGj\nRzE2NoampqZdW7PH48HQ0BD394tGsCa1gpFQ0J2Uq6RG4g+//OUv4XQ68dlnnyGfzz8QnfyHYSL7\nn6Bluh/pYDOZTLDb7ZwVkhMjZ0VaD9RSRlk2wZ90YIvjSumz76a3mkzKq9nc3GSxGCLh0ahQvV4P\nh8MBj8cDj8fD9WZas1wur+kTpqzMZDKhqakJ5XKZ1Rl1Ot22SYe4l9Ri5XA4YDab0dbWhkQiwc8y\nEedERTsSyaFfNDKUzk5aI4AaPgHZ3ZSfRFRD5CTQdywOsSEp5I6ODob/FxYWEAwGGSmk4JmyXyIv\nkrCPeC/cTWJBqK/L5UJPTw+q1SoymQwTEkn62ul0oru7G729vWhpaWEpZBLiIUI1QfKkEEgICHVN\n0P5SIEWiMNuWeu6nfWaX7bFZyG5bNptlBR8itygUCobzjUbjXQt0EOxFDEatVnvf+u1UgyGmLA2A\nIB1nAKzpu9Mb7GEaEdUmJyexvLzMsDU9/A6HAx0dHcwe3a21T0xM4NKlS1heXq5p+wPATqmvr49r\ncvciFEROz+fzYW5uDsViEb29vejv75e+9PH5Qv6/zc7OVoFb27ekdVNytnT4iQc57Rn9jGqlMpmM\nORD0nVIwT9kl3adirfZuWgfFe0V0CHV1dTwxKxqNMrFWoVDwM0P90SQkRDX4fD7PyIFKpUI+n0cy\nmUQymaxRk6PrFIdpkNH6xWuidYmBC7U2iVrz4vCNxsZGrusT2Zf+Ll4/ZaZi+xs5XynCcTsTX0fQ\nNn2G2MpG7HzSBCDBn0gkwiWBarXKCIhWq4XNZmPdd5H/QO8v3cPbQei0p9QDTu3INHCHXieXy2G1\nWuFwOGCz2TigFHXjCQWi9RSLRZ61UV9fj1QqhWg0ypr51EZHCZ24Zq/Xe8vGPnXgT+2pfbvsiXHg\nohqY6EzkcnnNFCyCwelgL5fLzGInFIOcDwB+X8pG6efiBLHt+pVpnVLYXVwvtVlSfVwMCujn4jhU\nQnzoOlQqFXQ6XQ2JjaSiCZkQyXG3czhiBi46DWqzot5vcS20fqlGOH2m+H5SpysVF7kXbgG9l7QX\nnQIcag8UgzDaO5pOB9wM+ui1VJoRX0Nr2yoIutN3L34e1alFVIf67unzC4UCw//ivUzSwIR+qNVq\nbm8jNcJ8Pl8zUEYMoGi9WznwJxJC/3/tXVlzm9d5fkACBLHvGwEu4CqSEmXJkhUptmzFji3Hjp2l\nnjYzuUouOtOr/pR2pjO96yTTSV078dSx6jiWVHmRRUcrLYmLuIMEARD7vpNELzTv0cEngAQpkhbt\n75nhiCJB4OB8H867Pe/zihAh4uCCrykLQREOGSU+/UnRKF/P5I2mkA1NBoLAR6qNQkhc49fNR6X8\n6/K1WXJA6PH8+yqVSsjn81XpeYqe+VRzI/vJi5TQmogBz+s58I4B/zO+DYwXOeKNei0i304g5ELQ\n89K156NxIvzy4j680RZmBngIyaHbAb0WZUHouvDEPyrdUicUL2FL15O/n/k18ZK3NN6WZ8k3Wl4T\nDbgIESL2BXzkxUdEfGREByDfMsYfZnw6lydR8b/nfydsVXrSjCNvWIXrqPfcFEXK5XLmfJAhpdQq\nHwXT++Bfr95ahK/DR9C0n7yx5tcp5APw9Wj6e/55hAS03QBvwIXrqxf1C983n1ERkg6Fr7UdkDPB\nv28yslSGoFINXWNhJoS/93hCJS+Vyq9VeC22gmjARYgQsa+oVYMUGm8yvELJW2HkzbOYedXAWgac\n/r+ddfKP59ddj4zFvyb9S/3UMpnssSgXABuZKUxN72Q/eaPFG3B6L8IsgPCxQgeKd6z4/au3NztB\nvdo+QRj513PQeKen3pq2u06e4U+vR9E3OWG0xyQcRfctPZ7nEvDZImF0vpM9FA24CBEivnUIjR59\nEWmsVrRdK3rb7Pl3e738OoRGjkhi/CQw/ve8oAz/3nc7SyA06DRnu9Zr1XJAar3fvUatdQlb+PjH\nCh2RJ3EmGgHtIzlG/Px2+j1dcyFDny9bCB3LneyxaMBFiBDxVKBWlLVZPVBYJ653AD6J8allDIQ1\n3M3S6HzGgNTghBFXPUP6JOvkIz3h7+s5CvX+X2//9spQCp93q9epl9HZK/BlHHodISFTyJOotbf8\n/bPTNYsGXIQIEU8NhIasFgO7XtS4X1Firci0luEWRoOUcq11mO+Fwam3J9+WYd7O69Tbp62eZz+i\nb+HrVCqP2uEI9Qx4PUdrpxANuAgRIkQ8IRolmj1NeJrXdlCxn6UGQDTgIkSIeIpQ6wBsJKVaL3W9\nF2gkpbvZQf5tGM793J8nxVZGcLfIc3uBRiLs3VyzaMBFiBDxraJemrdebbvWIbnd9pvdhpABXUss\nhm8posfWSrXvJjYjognTwcKUe720726tdTNDXet68nXnvSo7bIWdOGZCh2M31y4acBEiRDxVqFWj\nFR54tVrNqGZOxLftyKXuFMLWKyKpkYocT26qp9NOal1bkfGeBGSchX3d/JrrseH5x+210ax17Wu1\nF/KtY7Qunri333yIWoRKfs/p/tyMlLkTiAb8WwCRHnK5HLLZLIrFIkKhENPupvmz7e3tOHToENxu\nd5WakggR30UID28+8uK/5w9zoFpdjOQ4JRJJlQGtReh6UmPEH8jC0ZzZbBaZTKZqeAhJba6vr7OJ\nVDQfnB8Ywu/Bk4A3aLyMLN8bTo8TGpxasrC8IX9S0qAw0q/XgSAcAyvsYa8Vodd6DR67nUHg74Fa\nGZha967QWWvEaa0F0YDvM0jzeGVlhQ2Fz2QybM4zACwuLiIcDuOZZ57B22+/Da1WC7PZLBpwEd9J\nCFOj9LNaER9/CAqjMHJy+SiHN+R7EZXxayyXy8hms4hGo2yiXzqdZo56Op1GPp9HpVKBXq9HR0cH\nKpUKWltb2dCO3VyjMCrl94AXvaF/hW17QkEc4d6Tsd8OtkqbCw04vQ9aD2UwNjY2WC99PWdiN/az\n3t8L96Xe/SpUBuQFh4TvcavugFoQDfg+Y21tDV6vF//yL/+Cb775BqFQiBl1mmRFc4UTiQSUSiUM\nBgNefPHFXZldLULE04haspf0tba2xlLSJERCP9/Y2GBR98bGBhKJBBNP0Wg0LD1Ns+G3a3A2A29Y\nisUiYrEYfD4fpqensbi4iGAwWPW6uVyOTU5zOBxQKBSw2+1VAztqaXrvZF18lMenzYFHA0AoE8gP\nBuEHh1Qqj3TIhdEmgCdep3DNwtYsimrJUJMCGkXmpGxH74F+Tlrye9laKEzlC/e8UqkwCVteFpjW\nRQ4VvQ96DDlZja77e2fAE4kEPv/8cywtLUEmk+Gdd96BxWLZ19efnZ3FrVu3MDk5iVwux34nkTwa\n2KDRaGA0GqHRaPa9NQF4OAI1GAxicnKyajSn2WyGzWaDWq1Ge3s72tvboVKptjUTeDdQLBbh9/uR\nSqWQTqcRiURYRkMikcBsNqOjowO9vb2w2+2i8/OUQhiB0OFGBzcd3vxkqebm5qohEnK5HGtra4jH\n47h//z7S6TRaW1vR398Pm80GjUYDoHqARKNp1HopWWHERAY6EolgaWkJHo8H4XAYAJiMKgA2blIu\nlz+WxhbWzIVGrZE1k8EQGg8a0UqjRdPpNILBIBtlKZFIoFAooFarodfrYTQaYTAYoFKp2Gxt3mDz\n5YNGnaJ65xi/D+VyGYVCAel0GplMho00pu/L5TLUajVMJhOcTie0Wi0bNiJ8HdrLnZAF65H56j0X\nP+xFqLDGr4OfWV8oFNjoVl6GtZZGer11HzgDTiLyAKrmBDf6tz6fD3/4wx8wOjoKnU6HU6dOQafT\n7WhG804QiUQwPz/P5stKJBJ2ERUKBZxOJ/R6PQwGAzo7OzE8PAyHw7HteeE7QblcRrFYRCaTwfLy\nMu7fv49PP/0Ut2/fZun97u5u9Pf3w2w24+TJkzhz5gwOHToEpVK55yl+OshTqRT8fj/Gxsbg9/sR\nCoUwPz+PiYkJts6enh4cP34cZ8+exalTpzA0NITW1tbvRBmCDolMJoNisQiDwbAv98degoY70FdL\nSwurC/MjLynCIqlS+vzk83kEAgFcv34dkUgEWq0Wra2tUKlUUCqVVeljIdmoHurVJ/nUJz8Lu1Qq\nIZ1OIxaLIZlMIp/Ps7nOarWajQ5VqVTQaDSw2WxQqVTsvVGWgRyZrQ7vejV9PtXN72+xWEQ2m0Uw\nGMTy8jIePHjAnPPm5maoVCrodDpYrVa43W709PSgq6sLarUaMpmMjdasVCqPSYcKSW+bQZgaJ4dq\nbW0N2WwW4XAYPp8PwWAQ4XAY0WgUsVgMqVQKa2trMJlM6OjowOHDh+F2u+FwOB77bPO1cqFWfq29\nq7evtch8ZKjpfdOksqampionh16PDDLvkFLWhi//UIYhn88DeJQp2Uwu+MAZ8HA4DL/fDwBoa2uD\n0+nc1t9OTExgcnIS4XAYcrkcc3NzsNvt23qeJ0EymYTf72dOSEtLC1wuFywWC9xuN372s5+hu7sb\ner0eLS0tUCgUUCgUaG1t3fO1UXbgiy++wI0bNzAxMYFYLIZsNstuVr/fj1gsBqlUivHxcUxOTuKf\n//mf0d3dvedO0NraGmKxGD755BNcuHABi4uLSCQSjChENz4A+Hw+JJNJ3L9/Hz6fD01NTczROOjY\n2NhAPp/H6Ogo5ubm8Pd///ewWq3f9rJ2BDpkC4UCUqkUUqkUCoUCNBoNzGYzGyvJgw5RMiLlchnR\naBTLy8tYXl5GIpFgs6/poOXr5eTsCNOgtVCvzsv/jA7YUqmETCbDDI1KpYLdbofNZoPD4YDL5UJb\nWxuMRiNLndJnnOcBbDfqrkVWKxaLbNIZRbDxeBx+vx+Li4tYXFyE3+9nKX2VSoX19XVmQCORCCKR\nCAqFArq7uxkHh5x8fp31tOprgU810xftXSwWw8LCAmZnZ9lnu1AooFQqsRIjReiUeUskEiiVSnC7\n3VXOEH9tahHHGslqCuvxtHYytsJImxwwoHq2OTmlvGNGWRg62yuVCjKZDMLhMPL5PGQyGZRKJVQq\n1aYE5gNjwLPZLCYmJjA6Ooq7d+8CAF566SW88sorsFgsDRmPmzdv4t1334XP52Nzco1GI1Qq1V4v\nn2FlZQX37t1jxkan0+H8+fMYGhpCZ2cnjh49CrPZvKcGmwxAIBDAxMQEZmdnATw04H6/H1NTU1ha\nWkI4HH5sUECxWGR1vUKhgPX1dbhcLrz++ut49tln92zNpVIJwWAQf/nLX/Dpp5/ib3/7G1KpFIrF\nIiqVCqRSKeRyOdRqNWMCk9f+2WefQSqV4u/+7u/gdrtZSvUgIpPJYGVlBZ9//jkmJibQ1NTEuBNP\nO2odmhRxRKNReL1e+P1+5PN5OJ1OSCQS6PX6xxjlPJsaAFKpFJaXlzE7O4twOIxKpcIMY0tLSxXp\niqJ5ntHcCHiDw7PaKWIuFotIpVKIRCJIJBJoamqC2WzG0NAQurq64HA4YDabYTAYoFarH2t/E0bd\nwOOGkY/8hftKGQwydul0GslkEqlUihHoEokEQqEQotEokskkADDyHF0Lupdob8jIaLVaVjcvl8ts\n/4UOzmYGnPaPT5mvra0hnU4jHA5jbm4OU1NTmJubQyKRYNeLrqdSqYREImEOyezsLDOMSqUSVqsV\nCoVi19Lmwu4FuvZkqHmjzP8cqJ48xjuN5FRubGygtbWVZQ4ymQx8Ph+WlpZQLBah0+lgsVhYffw7\nYcBv3ryJDz/8EF988QUAMM9Lq9U2ZMDHxsbw4Ycfsv/LZDKWst5r0EXz+XyYnJxEPp9nB9Trr7+O\nU6dOwWw27/k6gId76fP5MDo6igsXLuDq1asAHu4nEegaQS6Xw/z8PN5//30YjUYMDg7uepqa9i0U\nCuH27dv47//+b9y/fx/JZJKlI+VyeRVnoFwuw+v1wuv1olAo4N69eyiVShgZGYHJZHqqDHi9NKgQ\nlHJbXFzEV199hf/4j/+AVCrF6dOnGz6gnjbQgI9MJoNAIIAHDx5gdnaWRVsWi4U52nyUSeQ1IlvF\n43H4fD4sLCwgmUxCq9VCqVRCqVSy+igZS2H0x0eBtcBHX/Var8hhTCQSiEQiSKVS0Gg0sFqtOHTo\nEPr6+mCz2dhBzo/qpOfiHQzeoPNGQEjy4veRaqrJZBLRaBQrKyvw+XwIhUIoFAooFArI5XJIp9Ms\nBa7Vatk1IIeCvlKpFHuc1WqF0+mEwWBgr8evYbvRN71Hqsevrq5idnYWY2NjmJubQzgchkKhYCWH\npqYmaLVa6HQ6yGQyBINBeL1e5qzJZDK0t7dDqVSyVD/xDngjvB1DLvyi9807kURC41vr6H3ynQ8S\niYRd93w+z659a2srI1iGQiF4PB7Mzc1hfX2dkRx1Ot2m2YIDY8Brgby2oaGhp+pQrgWqWVJbCV1Y\nuVwOp9MJnU63b2uZn5/H5cuX8d5772FhYQHpdJqtcbuEuWKxiPn5eYyPj2N6ehoDAwO7mqamfbt0\n6RL+67/+C+Pj40ilUlCr1Thz5gw6Ozths9ngcrnQ3d0Nh8OBXC6HCxcu4IMPPsDc3ByLjihiP4gg\n4/2nP/0JH3zwAXw+H86fP4+XX375qb/3heBroBsbGyiVSiy9u7S0hPX1dTidTpYypWiaQPcpjXQE\nHjqTlH6njJrwEBbWRQmbGW8Cn4bln5MiRGohS6VSKJVK7IDW6XQwGo3QarWMkEUOMtXz+R5y/rV5\nMttmTjE5EcVikZXopqamsLi4iEgkwpjlZDRp/GU+n0cul0OxWIRGo2FryWazKBQKqFQqCAQCWFlZ\nQVdXF5RKJSPh1ap5bxV9C8VuisUi4wSNj49jdnYWpVIJTqcTfX19LDuqUChgtVphNBpRKpXw4MED\nxjmg1DO159HaeIdH6LwJ78N66xXW+IHq0olMJmNkRPo/1bnL5TLS6TSy2Syam5uh0+kgl8tRKBTY\n/UTcjWg0ioWFBXg8Hvj9fshkMmg0GqYZ8J014FTf2a7R+TZQLpcRCAQQCoWQzWaxvr7Obmi5XL6v\nJKSVlRXcunULCwsLSCQS7Of8PvI3t0qlgsViwaFDh6BWq5HNZnH9+nUkEglWv/R4PJiYmEBHR8eu\nGvBUKoXLly/j0qVLuHv3LpLJJDo6OnDixAm88cYbcLlczDs3m81QqVSIxWJoampCPB6vYnYK61bf\nJnK5HGZmZjAxMYGlpSUolUqcOXMGzz333GOPjUQimJ6exp///GfcunULTU1N+MUvfoFXXnkFIyMj\nVcbtaQYf8VKKkQ494BGRjb6ndHBrayuLwoWRDW8EiQzEk794RnYtclKts6NWVqRW/ZQnX6XTaaTT\naRQKhSqxFL43nf6Oj9p4ZrLwtRtNAfNZhHK5jFwuh0QigUQigXQ6DYPB8FikSHutUqnQ1tbGOCyk\nURGJRJDJZBCLxeD3++H1emEwGBhhks/S8c5FI1EuOW3pdBqrq6vwer3w+XxYW1uDw+FAf38/Dh8+\nDIPBwGrE1BIYCATYngOP7hO+lEYtZXxmYzvgCYq1wGceqOzAOwjlchk+nw8rKyuIxWJQKpVwu91o\nb29nQRsZ+UAgAI/Hg5WVFaTTaUil0qrsETle9XCgDfhBSh0Wi0V4PB6srq6y+rdMJmMElv1EMplE\nIBBgjNJa4H9utVpx4sQJ/OQnP4HdbkckEkE2m8X4+Dii0SgAsHr6Sy+9tK101WbY2NhAPB7Hp59+\nihs3biAWi0Eul+PIkSN46623cP78eRiNxqrHZzIZeL1eLC4uwufzAQAjntAh9m2jXC4jHA7j8uXL\n+Pzzz/HgwQMolUooFIoqA76+vo5cLoepqSlcunQJH3zwAZRKJU6fPo3f/va3OHTo0L5mbnYDZLDI\neV1bW2NCJhQZkkGitHC5XEZzczMzOsL0MxHC6Is/eIUGnBfR2M7hLozk6XUpkiRjWSqV2P3G9yMT\nkYlnLNdSFBMa8EbaM4XRLU+ookwAEaVoH8gJMpvNGBgYwLFjxyCXy5FMJqHRaDA9PY1CoYB8Ps+I\nw52dnVCr1ZDL5VWvzV+LrfaQ3nM+n2fZAp/Ph2g0ipaWFrS3t+PIkSMYHBxk3UEU3GQyGSQSCYTD\nYcTjcZRKJXa/8Gly/hrza9zKGRJG58ISCx+F03vJ5XLMmZDL5SyrcP/+fSwsLCAajcJoNEIikUCr\n1cJoNLL9C4fD8Hg8ePDgAetIslgsLBgh9v9mZ9aBNuAHIfImFItFzM7OIhgMsp9ZrVb09fXtC8Oc\nh9lsRnd3NyYmJqp+Xq+WNTw8jJ/97GcYGRmB2WxGqVSCXC7Hf/7nf+Kjjz4CAKyurmJ6ehqpVAo2\nm21XMgqU+qaDUS6Xo6enB4ODg3C73Y/xHorFInw+Hz744AN888037OdyuRxarRYajWbf2gU3QywW\nw/379/HnP/8ZTqcTv/3tb7GwsPAYkzyXy2FsbAzvv/8+Ln5/wlYAACAASURBVF26BLPZjNdeew1v\nvvkm+vv795V8uZsgw0TSp3K5HHK5vMrQ8GQxAhkgPmLn+6aFBzb9TS1yErB1yYiPtHjjwxOVKFVK\nqmvlcrmKQUzvh8ifFFWR4ed7foXGe7P2IR7kFFDrnUKheMwh4g067WFraytMJhMcDgcMBgNzpIjp\nTeldyjDk83n2HLxyWyNZAt4BWltbQyaTQTQahd/vx+rqKpLJJOx2O8tG8ntN5YlAIICpqSksLCww\ngq1KpYLJZIJarUZzc/NjDh6930adDOH+1yIu8g4C1dtp34l7Q/wbvV4Ps9kMvV7PWhpJcGh6ehqT\nk5Pwer0wm81oa2tjrYU6nY7V/L+zBvwggdIlqVSK/Uyv16OtrW3fe3htNhsGBgZw5coVxOPxLW9q\nj8eDS5cuYXZ2Fi6XCyaTiaWCCKlUCl6vFysrK7DZbDCZTE+8zmQyieXlZXi9XqRSKayvryMej2Nm\nZgZ3795FV1cXFAoFO9CTySTm5+dx/fp1LC8vs+cZHBzEa6+9hv7+/m81YiXC0DfffIOLFy9ibW0N\ng4ODOH/+PPx+P3p6ethjKaNx4cIFjI+Pw2Qy4ec//zmef/55HDp06FsRz3kS8FmZWgQh4BEZCwBL\nh9OBTocp31tLUSQd8lQzp5/T8/GPrWfYa4Eir1pRJhlNEpTh69stLS3QarUwmUxMaKSWQeD3hv+q\nZQwbqS/TfpEgi0qlQj6fZ61iAFhWgP6fy+VYWlqr1TJSFe/cEDmOdAd49TaedFcPvINCnwHiLCQS\nCWSzWZYNLBaLTMSFJyDmcjnE43EEg0EWfWu1WlYvb2trg1qtrlniEO5fI0ac1sqXHOia8bVuiUTC\nuh1isRg8Hg8WFhYgkUjgdrtht9uh0WjQ3t4OjUaDYrGIcDiMpaUlzMzMIBqNQiaTweFwoLu7G21t\nbYzsyIv91Lv+B9qAH5QUOnlq8XicKa9JJA/Vwrq6uvY9KrTb7RgeHobb7UY2m0U8Hn/sMfzeEkHN\nbDajs7MTbrcbXV1dTPUMAPPWA4EA0un0rhjwdDoNv98Pv9+PdDoNiUSCWCyGmZkZWK1WvPjii6y+\nR49fWVnBwsIC4vE4I4ocO3YMb731Fnp7e7+1qJWG13i9Xly7dg03btzAoUOHcOLECRw9ehRDQ0Ms\nTVwoFDA+Po6//vWvuHLlCkwmE370ox/hnXfegcvlYuzrgwY+kqUolmc+kxGmyJNS47UcFV7Uhf4v\n1DznjThPBhOmRDeDMJUqjGIpuuUNuFwuZ5GXWq1GS0tLVY2bb4OjNjfaD+G66pGuhAaJN+AqlQoG\ngwF6vR75fJ4xn+n3dB5Rd0c2m8Xy8jJrcyNHmdLDlO4mchu/n0KnaKvrT5E1RflEKqVsAfWi82Q/\nAKzHPpFIsHQziV319/ejra2t6rNdy+g1sj7+e76Ozr9nXiWwtbUVLS0tWFtbw8LCAh48eACfz4fe\n3l4cOXIEPT09WFtbY46c1+vF3NwcZmdnsbq6CuDhedzT04Oenh6W4eQdzu9sDfygpNCJtJHP55mW\nr1wux+DgIJ5//nmo1ep9XY/JZMLx48fxm9/8Bn/84x9ZNLgZqG6bSqUwMzODlpYWZLPZfVrxQ1AK\n/ZlnnsHw8DAjsNQrQcjlcnR3d2NoaKhmyn0/kclkMDk5iX//93+Hx+OBw+HAr3/9axw9ehQSiYSl\nOnO5HCYmJvC///u/+Otf/4qOjg789Kc/xZtvvsl0sw8yhClsPkKm70kog0hsuVyO1Zv5aFOn00Gh\nUGB9fZ1JfpKABkUxPPeBN7z0+pudIbXSsPzPiMREBi6TybC16HQ6aLValmanz3+pVKpKu1I6nY9q\naZ+2u69kUCizVy6X0dTUhNXVVUauo7UUi0XIZDKk02lsbGxAJpPBZDLBYDCwrgDSlZdIJMhkMlXq\nd9s1jvye0n6SZLTVaoVWq2W98pQ9oFIArTeRSCCZTKJcLkOhUKCtrQ0dHR1oa2tjPeLEM6jlVGyH\n7wBUC+PwUr40XY7uUVK3Gx0dxerqKpRKJQYHB3Ho0CGYzWaEw2EWwPHGW6VSweFwoKurCz09PbBa\nrVAqlUyYqpF23gNtwJPJJGZnZ3Ht2rXHerlVKhWGhoaeijqhz+fD2NgYZmdnEY/H2aAF4CHDOJ/P\nIxaLIRQKsTqZVquF1WqF3W6H2WyuShU/KWQyGcxmM374wx9ifX0der0eU1NTrBZFH3YedFhRPWo/\nYDQaMTw8jJdffhmZTAYWi4UJ3jidTlitVrS0tCCXy2Fubg6jo6O4cuUK0uk0dDodent78c477+CF\nF16ATqfbd+N39+5dTE5OQqVSIRQKYWJiAmNjYxgcHMQbb7yB4eFhGAwGRoaJx+OYn5/H//zP/+D+\n/fuw2Wz46U9/ihdffBHt7e1bMlIPAvjDUVjn5gc75HI5dhiq1Wr23sl40+d6Y2MDyWSySpaSolhS\nOhOm4IVqXUIID39hnZeckFKpxMRbotEoM4q03kwmA4/Hw6LKbDbLJJO1Wi30ej1r3+IHjNQit20F\nigyVSiVMJhMbWarRaKBUKpm0KzGmKWVeKBSQyWRQKpWYcaS6vEqlQqFQYE4Q1cj5GjWfPq/HoeHX\nSOsk7QaHwwGVSgWJRAK73Q6TyQSz2czS+ZlMBqurq5iZmcHc3Byy2Sy0Wi3riuno6GC90lQ+4bMy\nta5zrbS6EDxZkTqF6PEkEhUOh5FIJJDJZJBMJpFIJGAwGOB2u9HZ2clIgYlEgrX4TU5OIhAIYGNj\no0quVq/Xs32tdw/WwoE24KFQCGNjY0ilUo+10hiNRhSLxSqWMg0X2G9Q29b8/DySySQ7WPx+P778\n8ksAYBKCmUwGarUadrsd/f39GBgYQH9/P7vIra2tDX+oNwNFsyqVCm63G5999hmmpqawsrKCeDzO\nPsQbGxtstjH1htYCEZKEc42fBCaTCSMjI/jlL38JqVSKtrY29PT0PHatg8Egrly5gr/85S+4ceMG\nstksurq6cPToUfz85z9HV1fXvqWdebLQjRs38O6778JoNDIm78bGBvr7+/Hcc8+hVCphdXWVqcx5\nPB7cuXMH7733HmsrO3bsGCwWC/L5/IGre9eD8MDnpVEpos5kMlhaWmKDSYi5TZGbwWBAPB6HVquF\n3+9HJBKpcg74aLGeeMtWqJeyptegQ5nUzYrFIjPEVC7xeDxMCY2MIRlZq9UKi8XCBoeo1eon+mw3\nNTVBoVCwfdTr9Uy4iFQJY7EYc3YMBgMSiQSCwSCy2SxzJDc2NqDRaFhmi0h5VOvlJ5ltJ1PAO2AK\nhQJGoxGdnZ1YX19nvd4UdWu1WiadPDk5ibt372J2dhblchkOhwN9fX3o7e2Fw+GAUqlkmQ0qFQhV\n1IBHpYbt7C9lbCizUy6XkUwm2dS5QCDA+v6lUimLqJubmxEMBpkufjqdRigUwuTkJAqFAitXUH87\ncQ9qkTc3w4E24JTSnZycfOyiSKVS/OlPf6o68EKh0H4vEQBYmoW8q7W1NYRCIXz22We4fv06gIcM\naop8m5ubMTU1hdHRUSgUCrhcLrzzzjv44Q9/iEOHDjEjvhugdHpfXx9isRhj01I9MZlM4vr167h2\n7Rrm5+eZEIEQarUabW1tcLvdTLFpN6BSqXDmzBlIJBLGWBYikUjgww8/xDfffMP2WafTwWQysTYO\n3pHbS6RSKSSTSTQ3N8Pr9WJqaqpK7nFgYACpVAofffQRc5Soj54GONA1uH79OhQKBQ4fPozh4WGc\nOnUKWq12X97HXoNPxfKHJPUYUyZoZWWlZpRORC25XI5cLseicGIiU1SUyWRYjVI4P3o7aV8efAtc\nPp9nURgJNEWjURQKBczNzTExD4p8yXmnMcE2mw39/f3o7e1lk/1oP7ZrHMmIUAqfnypGo0wpe0YZ\njbm5OTQ1NTHdc1IXo6i7UnkojkIZD16BjP6/HYNDa6SUN9WQNRoNdDodS1nL5XLE43GmgTA9PY3V\n1VVYLBb2/qhXmkpjwlGz5EgLmeTb2VPiDdCZu76+zrg2MzMzCAQCkMvlMBgMMBqNLBvo8XjYHPhK\npYJEIoHV1VU2BZMyNCTuxfMY6P00stYDbcAppZvJZGr+PhAIbPr3uVwON2/ehFKpRFdX1x6s8CEM\nBgM6OjqqhiiUy2UmtrAVIpEIJBIJUqkUyuUyDh8+vGulAeqd1Wq1MJvNrO+WUoQk/UqeOa1fCIoi\nr1y5AplMxmq7T+poSKXSLaVuqf+byDrAw6j85s2bKBaLePHFF3Hy5EkoFAoolco9bdsjT3pqagrT\n09OIx+NsBCIdlLdu3cKdO3dY/ZEiDXoPwCPiY2dnJ3p7e+F0Og/0xLFaLGD+cKX3S0NpKB0qkUjY\n55zv56fnof2j1C4xl4vFIuLxOJLJJIvq6RBvVNBHSIYj8L3cSqUSGo0GGo2GtVrR2EuJRMIGf1DW\niPaBDm+K3InU5nA4WP8vsD11REpP8/cJ8St4w0biS6STQEED1espA0Ka41KpFNlsFl6vl2WBdDpd\nw8pmwsfwmQJSd6MsC9WW+b/jI/1iscjO9Y2NDaRSKRaFU9sen9anroVGrrdw/bSftC806IWc7XA4\nzFoH6TGUYZVIJKwVj3gS+XyelQ+IsErETXKKKMPR6Ll5oA048PDA1Gq17IMvnA3Lzw0WIpvN4saN\nG+js7NxTA26323H48GF0dnZW1WV4T1coqcj3YubzeVy9epXpQjscDtZPupugflzg4d7kcjlEo1Gs\nrq4iFApVpSWFyOVy8Hg8+OMf/wilUsm0k/fD6FA5IJlMMgUpGjM6Pj7OJhbp9Xp0dXWhvb39sfvk\nSUERXT6fh9/vZwItNPiFsgepVArRaJQdmjS9itKIFouFORgdHR04d+4cRkZGvjORN1CbHEZpb+qX\nps8EL4ZC6fPm5mYUi0XG/F5fX4dWq2XOKDkDlLo0GAxVDHh+CAW/nnog5jh9Dzwy4kQY6+joQKVS\nYd0PvLAM9f9SVMj3jsdiMQBgM6EpC0HsdKBaYrWRfaX1ktNCmQpiw+dyOQSDQUSjUZbF5AlbVB6g\ntq5cLodYLIbZ2VnmJAmnqDW6Pt4o8pkRcnZ4Jj/V9I1GI6xWKyONBQIBrK6usqi2s7MTdrsdLpcL\nVquV3TN0/wiJaNtZKzk9pNfv8XgwPT0Nv9/P2PAA2DUtFovs2pG0LnEfqDRKXQoqleoxIRq+lbAR\nI37gDbhWq8Wrr77K9HR7e3uraqQ+n4+NH/22YDAYMDIygt/85jesrgc8rNNbLBao1WrW7A88Ukqb\nnZ3FnTt3cP/+fYTDYYyPj0MikeDYsWNQKpV7OvxkfHwcFy9exJdffokHDx6w+vdmXnaxWMT09DT+\n7//+D3q9Hm+88cautJNtBbPZjH/8x3/E119/jdHRUYyOjrKRjvF4HB9//DFGR0ehVqvx9ttv45e/\n/CW6u7t3VYK0UqmgUCjg888/x3vvvYexsbEqzgX1B58+fRo2m42pLX3xxRe4ePEiEokEent7cfr0\naRw+fJgJgnR3dz8VRMzdBhlvMjR0uJKWNX02FAoFc2YpmqR2I2KpE0Oa5lVTipteh49ottKWFkJ4\nsPIRMaWryTFvb29HOp1mRo6EaaieTNEY1c6XlpaYXjmlVrVaLVQqFetMaTQS440NsbZ5JTbKUiUS\nCWaI7t69y8avUumiubmZjXFdX19no1mp95qMj16vZ07WdrJsQiIhP/aVon9eZpeGJGk0GgQCAfh8\nPvh8PjZZLZ1OY35+HlarlfGFTCYTdDodG8VJzgkvwLLVmvn7M5fLYXFxEdPT05idncXKygqy2Sxk\nMhl7Ha1WC4PBAIvFAo1Gg1QqhYWFBXZdHQ4H3G43nE4ni7R7e3ths9mgVqtZhpNvjRRmfmrhwBhw\nmUyGtrY2HD16lP2sq6sLQ0NDGB4eRigUgs/ng9VqrYr6SHovFArh1q1bbBQpACiVSpw8eXJPo29a\nu9lsxtmzZ1ltD3hY39VoNGwMJmmIU1vK0NAQY1p/+eWXbGzinTt3YLPZdt2AVyoPBwOMj4/jk08+\nwcWLF7GwsMAiRFpzW1sbnn/+eSiVSkQiEVy9ehXhcJgJNFD9/qWXXtoXA65UKjEyMgK9Xo+Ojg4Y\njUb4fD7Wc096y8DDQzccDmNwcBCnTp3C4cOHt1Q7agTxeByffPIJPv74Y9y+fRv5fB5DQ0MYHByE\n0+lkeu1utxtqtRr5fB537txBJBJBS0sLfvCDH+DcuXN46aWX4HQ6WZTI97l/VyAkk1FXhsvlAvAw\nuqUODBq9SVk0XhaVatA0ycnr9aJYLDL9bLVazT5XpVKJEZ14RnojxqdWtE7RdFNTE/R6PdxuN6xW\nK2tx4jNrRP6iGjNlBxQKBTOO8Xgcy8vLLJo0mUyQy+WPpdBrrVcYeZOTQFG9TCZjzGmPx4OlpSUs\nLS1hZWWFfbabm5uhUqmg1+sxMDDAHI7FxUUEg0E2pCUUCiEUCsHpdKK1tZUxyIX7tRVonXRd+bY/\nikglEgkrbxoMBlZe0Ol0SKVSkMvlbGxqMplkXAiXywWXywWHw8EIYnS9N1ub8HcUlKRSqaqon6ZY\nGgwG5iwQYVAulyOfz2NqagpNTU1M0Ke/vx/9/f0sGwSAibwI54vTOr9TNfDW1lb09vYCAPr7+wEA\nJ0+erDn8QYh8Po+5uTn867/+a5UBV6lUeO655/bcgFMNjNa9FaiX0+VysZGdFJnkcjncu3cPIyMj\nVc7MbiCbzcLj8eDChQu4ePEivvnmmyrykFKpREdHB06ePIl/+qd/gslkwszMDMLhMDsgAMDv97PU\ntcPh2PM0ulQqZa0nFouFSaoWi0UolUpMTEzg1q1bCAQCuHXrFu7fv4+enh6kUikYjUa0tbXVJMdt\nB6lUCp988gkmJiagUCjQ09ODc+fOsYEjpBK1sbGB1dVVjI2N4YsvvsDy8jLa29vx5ptv4tVXX8Wx\nY8d2aVeebvAGvKWlBWazGZVKhY1RtFgssFqtjDsglEqlSLpQKMDr9bJ9pUEWRHJTq9VsRjRFeBTp\nbJWmFBpuvl5P15IMH6WnJRIJVCpVVdqdjDkd0Ovr61AqlUwetLm5mZVW4vE4stksKyPQOmgNm4HW\nRK9LZD+pVMrSzTMzM2zqFfV5Uw3aZrOhu7sbJ06cYCQycpJo0huNK00kEtBqtez5hfu12X5S1oUE\nS2q10dH1bWlpgc1mY6+VTqdZC25rayv8fj8jjdE42Wg0yrgkRMAT9vFvtY8Eev+ZTAZra2tQKpWw\n2+1wOp1ob2+HxWKBXq9n9xlNyKSWYLPZjCNHjrD2V1LvI70Aob7BdnFgDDjVOV0uF/PaGk0t0t8K\ntaafZhDbcXJyEtevX2fs0XK5jGAwyNLwu4m5uTl8+umnuHDhAjweT9WNrFKpcOrUKZw5cwanT5+G\n2+2GSqXCxsYGTp06VVXPIzLH4uIii6T2A+FwGJOTk7h37x40Gg2OHDmCZ599Fn6/H8PDw3j33Xfh\n8XhQLBaxsLCAS5cuobW1Fb/61a9gs9me6LVbWlrgdrsxMDCAgYEB9PT0wGazsYlKwCOy3UcffYTf\n/e53mJubw5kzZ/CLX/wCL7zwAhwOx25sw4EAH2UpFAo4nU5YLBYm5EKEQ2Lk8rwRAIxxTvfo4uIi\ntFototEoS9GSYRHqpe+EWFlruhilZSUSSVUbE0XnFKFTarq1tZWlZfP5PGOoE0+C3g+VAlpaWqr2\naSvwzjavElYoFBAOh1mrqtfrZeRZpVIJnU6HtrY29PX1sfnldB0sFgtrkyMWeywWQzweh8ViqWrN\n4p2HeqBrQHtFUTddK0qpA494AUT+JFVGuVyOtrY2tLe3Mx13cuBWV1dZmxzN0yZHhneitnPdW1pa\noNPp0NHRAYlEgra2NjgcDuZgSqVSRvi9ffs2bt++jUAgALvdjr6+PgwPD8NqtbJ7ge7FTCZTlT3h\n79nvXAROjM+djKqkv+3r68OJEycYq3q/WOjbBbUpXL16FZcvX8bCwgJLien1ehw9ehRtbW27/rpe\nrxe3b99mBA2C2+3GsWPH8PLLL2NkZATd3d1svJ/ZbMaPfvQjzM/PswEixGKdnp5mesB7CUr1Xbt2\nDVevXsWDBw9w/PhxqNVqWK1WmEwmVCoVXL9+HbFYDMFgEPl8HsFgEF6vty7JcTsgLgYpRNHUIfKq\ni8UiVldX8cknnzAHqb+/H2fPnsXzzz8Pl8u170Ntvi3whxbw8PPJZyjI8FEnBBlEnuhZKBQY81yt\nVrNRl6urq4y5Tm081J1ADO3tpM/5NZOR4sloZCyBR8IhZNjJ2FP6nmRySQ54dnYWS0tLKJfLTJHM\naDRCqVSyNCpP+GtkP4U97yQ2Ew6H2ThjSpurVCpYrVZ0dnayAUG8pjjwcPBONBplpDfSMCf9cuIY\nNGJw+D59ijrpelBpoVKpsH0jUmgymcTExAQmJiYQCoXQ1dUFjUbDHGSJRMLGcdII1Gg0imQyyerr\nvLO3nbVSi1tbWxssFgvkcjmbGEaRPZFmb9++zdZosVgwODiIkZERloWk8g1do1p99NvlaBwYA74b\n6OrqwsmTJ6t69HabhU6bn8vlkE6nGTmhqamJtUrQh56Y5JlMhh1c2WwWPp8Pd+/exbvvvoupqSnE\n43HI5XKYzWYcPnwY586dY+WE3QRNFBMKtgwMDOCtt97C2bNnYbPZqgwNlSEuXbrEfkZtKsLhLXsB\nMoyfffYZPv74Y+aQUV2VDm3qieWJa7ys5pNCo9Hg7Nmzj/2cUobU1va73/0Oy8vLsNvt+MlPfoKX\nXnoJ3d3du8qIf9rBH6AUkfHRMh3mFM2RrCQxk+n+ooOZjDhJq1JvPcmB6nS6qs9eo4c3gU+dF4tF\nJsySy+WYSpdCoaiqrRNTm3TSSWY1EonA6/VifHyciSbJZDLY7XY2zILGaDbapiVcJ31PZQMir8Xj\ncaTTaSblSvKlfX19GBkZYR0QGxsbLHp3uVxYXl6GQqFApVKpkoTlU798yWCrvaW/I/4DOUM0HpRU\nzzKZDMLhMObn53Hnzh3MzMywcgWlrUulEmvjoxYyqq3zU+N4YuNW6+QdJ5lMxlL2dIbzqW8S7Jmc\nnMStW7cQj8ehVCpx5MgRHDt2DL29vZDJZIxUyDsnfEZI+HkQXst6+F4Z8P3CxsYGxsfH8cUXX+D2\n7dtIp9NMH9dms0Gv10Or1aKnpwdGoxFff/01UqkUUqkU/va3v2FpaQnBYBChUAi5XI5pep87dw6v\nvfYaTp48uSfCJDSfVxiROp1OjIyMwGQyPaYnTtkNqtHTzSaVSmG32/e8/cnr9eLq1av4/e9/j0gk\nUlV7Pn78OJRKJe7cuYOLFy8yYQ2Cy+XCkSNHdpWNLgQxeS9fvoz3338fc3NzOHLkCN544w28+eab\naG9v/14ZbwJfD+XTmmTAeUELkpgkngLdn2TkpFIpWltboVQqGWGLos5YLMY0pomLQWnMRiIx/iBd\nW1tjU/eWl5exsrJS1f6n0WiYhjd9JqgVk2Q3g8Eg/H4/lpaWsLa2xljsVHrp7OyEwWBgRmy7KV9+\nf/m1k5EkpTLiCBCjXCaTsR52YtBTBomMDU+KE/biN5ry5Q0+vT8+a0HPnU6n2cQuGhAil8tx/Phx\nHDt2DC6XiykZejwedlZS6lyv18NgMECpVFa12zYa3VJARe+ZpF3JANM9FolE8ODBA0xNTSGbzaKt\nrQ0DAwM4efIk49bQUBi+ha5SqbD9pdQ63fv8Ordy2r7XBjybzeLmzZsNEeEaBdWuZ2ZmMDo6irGx\nMaYGNT8/D61Wy2QJSVWIFM7y+TwWFhaQSCQYY9VoNKKvrw9vvfUWTp06hcHBQZhMpj0hhpG04YMH\nD6p6JhcXF3Hx4kUYjUbY7XZYrVZWzysWi1heXsbk5CR7PEUgJpNpz1qgEokEvvrqK9y4cQM3b97E\n9PQ0I/6dPn0aarUa9+7dQyQSwejoKL766isma0mDMPr6+nD48OE9M+CZTAYrKyu4cuUKLl++jMXF\nRRw/fhyvvvoqXn31VXR2du6p8/C0Q9ibzdd7a4lq8IaCUuzUPkb3HKWs0+l01ahKivqAxlm+fATE\np9Bp8t7S0hISiQQqlQpLqZKYCPWr0xQtSjtTSr+lpQUWiwUulwuDg4Po7u5Ge3t7VemlUaMo3FOe\nzUxDUyjbR++B1CFjsRj8fj9zhCqVCuuOkUgkmJ+fRzAYRKFQQHNzM3NO+Jo1pdK3Ep3h97NeOn1j\n4+Gs7IWFBUxMTGBqagqhUAgtLS1wOp3o6OhAc3MzlpeXWQlsaWkJy8vLKBQK0Gg0sNvt6OjogN1u\nZ9GysB2wEfARPL/+QqHAZpl7PB4sLi4iFosxtjnVvKVSKTvH+TY/Aj9oh+cPbIen8b024FQD93g8\nu/acxIwldSVqGSLvW3jzEIuVT+UqFAqWEurp6cGZM2fwq1/9Ci6Xa08Z3S6XCyMjI2wYPa11fHwc\n4XAYMpkMPT096Ovrg1arhVQqRTqdxtjYGO7du8duOvqgm83mPTPgqVQKn376KS5fvowHDx4AeOiA\nUIRAPfTz8/OYmJhgM3qpntXd3Y1nnnkGPT09T8xAF4IOCZ/Ph2vXruEPf/gDAoEAbDYb3n77bZw7\ndw5DQ0O7+poHCbUOUDq0+MOS6oH0RapmBJ6cxtdiS6USq4GTsiA9ViiaUQt8TVnY8kaZAfoc5nI5\nxvAmMhYdymRA6bkoiqWWQpfLBbfbzfqBiXBFa2xUwIU/8HkGNxHEaCCMRqOBQqFgYjmxWAxSqZRJ\nO1N0SWnqtbU1BAIBrKysIJfLVT0XZUdoihpvlOuBd8z4DAw5ZC0tLWzqGH1uZ2ZmsL6+zpyb5uZm\nBAIB+P1+LC4uIhAIIB6Po1gsMuPd39+P7u5u2O12xieg6LZRRTZhipu+iN8TDAaxsLCA6elppr7W\n19eHoaEhdHV1QS6XM+eSn4bHO5N8P3ytdsFGjPj3HTL7ZQAACZlJREFU2oDvBZqbm2EymfDmm2/i\nxIkTWFlZwaVLl3Dp0iUsLi4+piWuVqtx+vTpqlSzTqdjN2J7ezucTifsdvueD+QwGo3o6uqCVqtl\nk4kAMG1u4GE0/tVXX1URd4gQSCCBA7fbvWd94FQ31Gq17AMXiUTw9ddfM0JLMBhk6k4Uof3gBz/A\n+fPncfToUfT19TEiym6CjM1XX32F3//+9/D5fHjmmWfw2muv4dVXX90TAuJBA09go3/5ditePpUO\nP57Ixh9ulOYk0hYpFgJg7UrUlkXP32gUxhOfqC/Z6XQyQunKygoCgQCi0Sibl02GVy6Xw+FwQK/X\nM9UyEnbhh5nQkCKKFGl9T5I+Jx4BcQRMJhM6OjqQTCYhlUqZdC9JOtPrk/NNtWnSky8UCkxVTq1W\nV62XSIeNRo18NoPPqFCLFX/9KcIn4ZtkMsnKI6lUqmowS1dXF3p7e9HX1wen08nEZmoZyEbWyO8n\nXYuNjYfDnSKRCAKBAGKxGJt8ePr0aTidTigUCsZrohG3lcojoRq6l3ieh7BNslF8rw24TCZjH6Dd\nAnmSVqsVBoMBLpcLWq0Wg4ODiEQiVfVlaqERqoLRuEFq9KeU1U7aX7YDl8uFF154gUm33r9/n9Vv\naN28fCAP+hDK5XK43W4cOXJkT6VUlUolnn32WYyPj+PevXtMlSsUCjHpVHKWTCYT2tvbMTw8jBdf\nfBGnT59mbNu9EkkhEYeOjg4m4kMiLd8XtvlmqBdt8NGxsGZIEEYtvDwqsYaJbETSqnx9Ufj6jayV\nDnAy3EqlEjabDT09PayFkrJuRK6Ty+UsJU7RFwnMUCmNl0QWRtw7SaHTnvH70tTUBJ1Oh/b2duTz\n+SoyH/U58wI3NMyINLzJ8SCnw2w2Q6PRsDY34Z7WO6eEv+cNOX1RhsLhcMDpdDLFNWLOR6NRppkv\nlUrZEJT29nZ0d3ezrhe+N59/7e3so9Cxp0CBOBe0TofDgcHBQSbRTBkOvmuC/p4fGSpcWyOkNSG+\nVwZcpVKx8Xrlchl6vR7Dw8N7EhGRMZPL5Th79mxNhvLTBrvdziQ+iXm5srLCWKfEpK0FYgK7XC48\n99xzeOGFF5gc5F5AqVTi2LFjuHv3LsbGxrC0tIRisQgAbNYwOWYDAwM4deoUXnnlFQwNDe15BEyp\n1oGBAbz++usolUp45plnMDg4uKeve1DBp3/5tCrtI/2OHss/njfkLS0tTA2LRnZSRwLPfuZfcyvw\nETj9HZW47HY7MyZEoCISFq1TLpczVnwul2M1aTIufBTGp2p3Cj4SJuNIRtHlcjFjTGp1JNDCp7Qp\n+qVoWK1Ww2QyMYUzElYhHgztz3b2tJYRp95zrVaLzs5OpmVPHT3JZJKRBmn8qtlshsPhQE9PD9rb\n22G1WiGXy5lzsp3UtPDnwpY8+hndW6VSCRaLhU1hpPnpFH1T0EV1b7of6J7lJ7kJ70uxBl4DQ0ND\nkEgkmJycxPr6Onp7ezE8PPy9rkcKQaI3//AP/4ATJ07gxo0bWFlZgdfrxbVr1+q2hVksFhw5cgRv\nv/02jh8/jp6enj1loEulUhiNRvz4xz9GpVLBv/3bv8Hv90OtVuPMmTOMzVupVDAyMoLjx48zNvJ+\noKmpiU0Rq1Qq+/a6Bw21Wmh4Y823lZHwB0WZ9DcSiYRN/CNyFnVB6PV61n72JOAzA0LHgYy6UOOb\nDDOJqvAiMJQe5g93oYb7dtcnrNfzX8SOp2xUf38/VlZWmKTq6uoqCoVC1SAWfuwpn/KnIKhWq1sj\n6+T/5d8r7QWlxCkCJ9lZiUTCeuUNBgN0Oh0sFgtsNhva2tqg1WqZw0SDl7YbefNrEjoldI0UCgUT\nkOH3loaZVCoVdj+Qg0eZWZ78V2tt273u3ysDrlar0dvbi1//+tcAwOQaD5JC216DPEyXy8Wi8UQi\ngVgshhdeeKHuPHC9Xs/azRwOx563j1E6qru7G+fPn4dcLmcf9J6eHhZ9AQ8zC3a7fVc0zxtdG4Ad\nCw99HyAkitH3fKTLR0D0PUVWdNjTYAij0cjEWki1kDSqKVLcSWQrJGfx0b/QSPCvQT+nKFbYK00G\nXmh4CTuphwoNAi/dSqDSDqX3XS4XIpEIYrFYlegJT9pTKBSMma5Wq5nBImfqSdfJr5deX6PRoKOj\nA1KpFCaTiaXMqTWMiIRUjtBqtVXKdXwZZifpc36tvNPBkxGJzEcZHlKQI10AXoiI517w93St/djO\nnkp26qHsAZ6ahYgQcYCxt0SJHWB2drbuZ5s/f4TRN1//5lOhZBjJeNOozlwuh3g8jlwuh/X19apU\nMR/90vM3gloRI79WWhc/jIOPwHnjzBsDnqDGC8AI17YTp4NfM5+q5TMCFGEDj4h+fE2WhFXIKPGR\nOb1PoZ78TiNx/toS6YsIbdReK5VKmWHkiYm0Lt6Q0t7Xq3/vZJ182pu/3ny6npwMuu9I9IbKKzRS\nmO6FzVjxtdbY19f32A+/VxG4CBEinl7UiiCFBlRY06TDs1KpMNWs1tZWNmGLvnYagRP4SI6P8Gql\n1QE89nrCyJA31k9a995q3bRm4NH+USRI6+AlZoFH7WG0t3zUyO/nk6y7VoqbMhtUOiFuA72msB2M\nr9vXYnTvBoQESqC684F+T/calX544iPtEzl1wufdKUQDLkKEiKcCtYyBMJXMq3jxhyKByiRCo7OT\nKJF/fK16qPDfeun2Wv/firS0WwadMhm0Nr4HmX+M0JGgv+GlZ/m17rRWL1xbre+FTobQAPJOkvBv\nCJtdh52uk389viTCZ2Fojfy/fKaiXkZnp+sUDbgIESK+NTRquDYzdLyCVa1IezeMYa1oWkiMq2eQ\ndsqC3o21Ao8iw1pGrd466Xebkf92I6NRbz94XgH/WkLOAf9ce4HN1lmvDYzPxACPJujViryf2Ll4\nimrgIkSIECFChIgG8f2boiBChAgRIkR8ByAacBEiRIgQIeIAQjTgIkSIECFCxAGEaMBFiBAhQoSI\nAwjRgIsQIUKECBEHEKIBFyFChAgRIg4gRAMuQoQIESJEHECIBlyECBEiRIg4gBANuAgRIkSIEHEA\nIRpwESJEiBAh4gBCNOAiRIgQIULEAYRowEWIECFChIgDCNGAixAhQoQIEQcQogEXIUKECBEiDiBE\nAy5ChAgRIkQcQIgGXIQIESJEiDiAEA24CBEiRIgQcQAhGnARIkSIECHiAEI04CJEiBAhQsQBhGjA\nRYgQIUKEiAMI0YCLECFChAgRBxCiARchQoQIESIOIEQDLkKECBEiRBxA/D/7MJLeAWIrNQAAAABJ\nRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7, 4))\n", + "plt.subplot(121)\n", + "plot_digits(X_mnist[::2100])\n", + "plt.subplot(122)\n", + "plot_digits(X_mnist_recovered_inc[::2100])\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(pca.mean_, inc_pca.mean_)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(X_mnist_reduced, X_mnist_reduced_inc)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "filename = \"my_mnist.data\"\n", + "\n", + "X_mm = np.memmap(filename, dtype='float32', mode='write', shape=X_mnist.shape)\n", + "X_mm[:] = X_mnist\n", + "del X_mm" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "IncrementalPCA(batch_size=525, copy=True, n_components=154, whiten=False)" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_mm = np.memmap(filename, dtype='float32', mode='readonly', shape=X_mnist.shape)\n", + "\n", + "batch_size = len(X_mnist) // n_batches\n", + "inc_pca = IncrementalPCA(n_components=154, batch_size=batch_size)\n", + "inc_pca.fit(X_mm)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from sklearn.decomposition import RandomizedPCA\n", + "\n", + "rnd_pca = RandomizedPCA(n_components=154, random_state=42)\n", + "X_reduced = rnd_pca.fit_transform(X_mnist)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "n_components = 2\n", + "PCA 62.69354581832886 seconds\n", + "IncrementalPCA 162.2813799381256 seconds\n", + "RandomizedPCA 35.33038401603699 seconds\n", + "n_components = 10\n", + "PCA 66.76582098007202 seconds\n", + "IncrementalPCA 152.7020070552826 seconds\n", + "RandomizedPCA 38.48074817657471 seconds\n", + "n_components = 154\n", + "PCA 60.10399889945984 seconds\n", + "IncrementalPCA 136.18071699142456 seconds\n", + "RandomizedPCA 31.670741081237793 seconds\n" + ] + } + ], + "source": [ + "import time\n", + "\n", + "for n_components in (2, 10, 154):\n", + " print(\"n_components =\", n_components)\n", + " regular_pca = PCA(n_components=n_components)\n", + " inc_pca = IncrementalPCA(n_components=154, batch_size=500)\n", + " rnd_pca = RandomizedPCA(n_components=154, random_state=42)\n", + "\n", + " for pca in (regular_pca, inc_pca, rnd_pca):\n", + " t1 = time.time()\n", + " pca.fit(X_mnist)\n", + " t2 = time.time()\n", + " print(pca.__class__.__name__, t2 - t1, \"seconds\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Kernel PCA" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure kernel_pca_plot\n" + ] + }, + { + "data": { + "image/png": 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H8h07AITmz2iMaQa0Bp45BXoVG2XhnpYFHcDqkZ+yooel+Dhb3hsFyfR4PLz1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\nnAzapXu5vJKLmICXV1999cxesLOA8wTiNE8c/gz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daLFw4403/qX+FxQUMPH666malUXz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ymoX5977r77uJdsJBLhsksuwet0kuDzEQwETssuePv27fhcLtoqGiK1pUTA4ynWKPwUXo+H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\nsXgtK6zeeecd/vjYY3QuK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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.decomposition import KernelPCA\n", + "\n", + "X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)\n", + "\n", + "lin_pca = KernelPCA(n_components = 2, kernel=\"linear\", fit_inverse_transform=True)\n", + "rbf_pca = KernelPCA(n_components = 2, kernel=\"rbf\", gamma=0.0433, fit_inverse_transform=True)\n", + "sig_pca = KernelPCA(n_components = 2, kernel=\"sigmoid\", gamma=0.001, coef0=1, fit_inverse_transform=True)\n", + "\n", + "y = t > 6.9\n", + "\n", + "plt.figure(figsize=(11, 4))\n", + "for subplot, pca, title in ((131, lin_pca, \"Linear kernel\"), (132, rbf_pca, \"RBF kernel, $\\gamma=0.04$\"), (133, sig_pca, \"Sigmoid kernel, $\\gamma=10^{-3}, r=1$\")):\n", + " X_reduced = pca.fit_transform(X)\n", + " if subplot == 132:\n", + " X_reduced_rbf = X_reduced\n", + " \n", + " plt.subplot(subplot)\n", + " #plt.plot(X_reduced[y, 0], X_reduced[y, 1], \"gs\")\n", + " #plt.plot(X_reduced[~y, 0], X_reduced[~y, 1], \"y^\")\n", + " plt.title(title, fontsize=14)\n", + " plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot)\n", + " plt.xlabel(\"$z_1$\", fontsize=18)\n", + " if subplot == 131:\n", + " plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", + " plt.grid(True)\n", + "\n", + "save_fig(\"kernel_pca_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure preimage_plot\n" + ] + }, + { + "data": { + "image/png": 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p1FY8EXJUo4nPakWn1XJx61asdXUYtFoQRRQqFUkzZ2K3WqnYtYtpixdjDvrj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\nW86TiekxvwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(6, 5))\n", + "\n", + "X_inverse = pca.inverse_transform(X_reduced_rbf)\n", + "\n", + "ax = plt.subplot(111, projection='3d')\n", + "ax.view_init(10, -70)\n", + "ax.scatter(X_inverse[:, 0], X_inverse[:, 1], X_inverse[:, 2], c=t, cmap=plt.cm.hot, marker=\"x\")\n", + "ax.set_xlabel(\"\")\n", + "ax.set_ylabel(\"\")\n", + "ax.set_zlabel(\"\")\n", + "ax.set_xticklabels([])\n", + "ax.set_yticklabels([])\n", + "ax.set_zticklabels([])\n", + "\n", + "save_fig(\"preimage_plot\", tight_layout=False)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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xx44x2lAAqlJSqM7I4NkOHbgXoF+rVlxvEHr0unUv/M4VMTH0q1SJtxcsYJCXFy/378/L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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X_reduced = rbf_pca.fit_transform(X)\n", + "\n", + "plt.figure(figsize=(11, 4))\n", + "plt.subplot(132)\n", + "plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot, marker=\"x\")\n", + "plt.xlabel(\"$z_1$\", fontsize=18)\n", + "plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", + "plt.grid(True)" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'kpca__gamma': 0.043333333333333335, 'kpca__kernel': 'rbf'}" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.pipeline import Pipeline\n", + "from sklearn.linear_model import LogisticRegression\n", + "from sklearn.grid_search import GridSearchCV\n", + "\n", + "clf = Pipeline([\n", + " (\"kpca\", KernelPCA(n_components=2)),\n", + " (\"log_reg\", LogisticRegression())\n", + " ])\n", + "\n", + "param_grid = [\n", + " {\"kpca__gamma\": np.linspace(0.03, 0.05, 10), \"kpca__kernel\": [\"rbf\", \"sigmoid\"]}\n", + " ]\n", + "\n", + "grid_search = GridSearchCV(clf, param_grid, cv=3)\n", + "grid_search.fit(X, y)\n", + "grid_search.best_params_" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "rbf_pca = KernelPCA(n_components = 2, kernel=\"rbf\", gamma=0.0433,\n", + " fit_inverse_transform=True)\n", + "X_reduced = rbf_pca.fit_transform(X)\n", + "X_preimage = rbf_pca.inverse_transform(X_reduced)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "32.786308795766153" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.metrics import mean_squared_error\n", + "mean_squared_error(X, X_preimage)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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rBGpJx5QlRTanFpG3vbsKvCoiwcVv5XHFbN/EKDZjUsqePa7j59NPw003wS+/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\nbXD77VCrVoxfhDEmJTx+003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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "times_rpca = []\n", + "times_pca = []\n", + "sizes = [1000, 10000, 20000, 30000, 40000, 50000, 70000, 100000, 200000, 500000]\n", + "for n_samples in sizes:\n", + " X = rnd.randn(n_samples, 5)\n", + " pca = RandomizedPCA(n_components = 2, random_state=42)\n", + " t1 = time.time()\n", + " pca.fit(X)\n", + " t2 = time.time()\n", + " times_rpca.append(t2 - t1)\n", + " pca = PCA(n_components = 2)\n", + " t1 = time.time()\n", + " pca.fit(X)\n", + " t2 = time.time()\n", + " times_pca.append(t2 - t1)\n", + "\n", + "plt.plot(sizes, times_rpca, \"b-o\", label=\"RPCA\")\n", + "plt.plot(sizes, times_pca, \"r-s\", label=\"PCA\")\n", + "plt.xlabel(\"n_samples\")\n", + "plt.ylabel(\"Training time\")\n", + "plt.legend(loc=\"upper left\")\n", + "plt.title(\"PCA and Randomized PCA time complexity \")" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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7BngPWJ280N1Tm+2KrG/QIPj6a/UVEamD0k0kywk3ySekzDfC/ZK0brZLgbrz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\nGAq8nXqjvdqeew4uuSQkkfb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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "times_rpca = []\n", + "times_pca = []\n", + "sizes = [1000, 2000, 3000, 4000, 5000, 6000]\n", + "for n_features in sizes:\n", + " X = rnd.randn(2000, n_features)\n", + " pca = RandomizedPCA(n_components = 2, random_state=42)\n", + " t1 = time.time()\n", + " pca.fit(X)\n", + " t2 = time.time()\n", + " times_rpca.append(t2 - t1)\n", + " pca = PCA(n_components = 2)\n", + " t1 = time.time()\n", + " pca.fit(X)\n", + " t2 = time.time()\n", + " times_pca.append(t2 - t1)\n", + "\n", + "plt.plot(sizes, times_rpca, \"b-o\", label=\"RPCA\")\n", + "plt.plot(sizes, times_pca, \"r-s\", label=\"PCA\")\n", + "plt.xlabel(\"n_features\")\n", + "plt.ylabel(\"Training time\")\n", + "plt.legend(loc=\"upper left\")\n", + "plt.title(\"PCA and Randomized PCA time complexity \")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# LLE" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure lle_unrolling_plot\n" + ] + }, + { + "data": { + "image/png": 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UKnHsJeD+nZR9Fbi3xH4nYFWJ/UlA/z1sd5/8q9a3X76wdpYvjlQ7165dq4cf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\nu8kEVrlc3Pjggzy7YMF3tuHxeKitraV79+4hn0UFq7m5mYceeohly5bR5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6wLDp8sM/4+\nAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.manifold import LocallyLinearEmbedding\n", + "\n", + "X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=41)\n", + "\n", + "lle = LocallyLinearEmbedding(n_neighbors=10, n_components=2, random_state=42)\n", + "X_reduced = lle.fit_transform(X)\n", + "\n", + "plt.title(\"Unrolled swiss roll using LLE\", fontsize=14)\n", + "plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot)\n", + "plt.xlabel(\"$z_1$\", fontsize=18)\n", + "plt.ylabel(\"$z_2$\", fontsize=18)\n", + "plt.axis([-0.065, 0.055, -0.1, 0.12])\n", + "plt.grid(True)\n", + "\n", + "save_fig(\"lle_unrolling_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# MDS, Isomap and t-SNE" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from sklearn.manifold import MDS\n", + "mds = MDS(n_components=2, random_state=42)\n", + "X_reduced_mds = mds.fit_transform(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from sklearn.manifold import Isomap\n", + "isomap = Isomap(n_components=2)\n", + "X_reduced_isomap = isomap.fit_transform(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sklearn.manifold import TSNE\n", + "tsne = TSNE(n_components=2)\n", + "X_reduced_tsne = tsne.fit_transform(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/ageron/dev/py/envs/ml/lib/python3.5/site-packages/sklearn/discriminant_analysis.py:387: UserWarning: Variables are collinear.\n", + " warnings.warn(\"Variables are collinear.\")\n" + ] + } + ], + "source": [ + "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n", + "lda = LinearDiscriminantAnalysis(n_components=2)\n", + "X_mnist = mnist[\"data\"]\n", + "y_mnist = mnist[\"target\"]\n", + "lda.fit(X_mnist, y_mnist)\n", + "X_reduced_lda = lda.transform(X_mnist)" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure other_dim_reduction_plot\n" + ] + }, + { + "data": { + "image/png": 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B9ExeHAPA/L1NLQBEZ2LSpAxAEgsWzEPLlo3Rr18f5MmTB5cuvYRGoy0Ahoe/gEplCC8v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zcyetQIhgzux5tvvrnf36pUzuI/z/8uHN05SrRuLJLjHtq18DH8SjupyQZPPP7YaR+Iv1mAuOee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\nURWYOrUKl1ySz5w5c5g+/Ubcbider50rrqjHU091p1mzTJo3zyYtLUhMjIf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8LFFcKOZP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gwfMkjaNE6T/tddLTt27DjjM4twhci+J5ATzyNpCYjLjiwfjMjjyNLbkJAgZFAb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\nH32CZzaE8shyeOx3+NfvNj744hsua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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "titles = [\"MDS\", \"Isomap\", \"t-SNE\"]\n", + "\n", + "plt.figure(figsize=(11,4))\n", + "\n", + "for subplot, title, X_reduced in zip((131, 132, 133), titles,\n", + " (X_reduced_mds, X_reduced_isomap, X_reduced_tsne)):\n", + " plt.subplot(subplot)\n", + " plt.title(title, fontsize=14)\n", + " plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot)\n", + " plt.xlabel(\"$z_1$\", fontsize=18)\n", + " if subplot == 131:\n", + " plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", + " plt.grid(True)\n", + "\n", + "save_fig(\"other_dim_reduction_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Exercise solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Coming soon**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + }, + "nav_menu": { + "height": "352px", + "width": "458px" + }, + "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, + "toc_cell": false, + "toc_section_display": "block", + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/09_up_and_running_with_tensorflow.ipynb b/09_up_and_running_with_tensorflow.ipynb new file mode 100644 index 000000000..4c0b1e507 --- /dev/null +++ b/09_up_and_running_with_tensorflow.ipynb @@ -0,0 +1,2234 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Chapter 9 – Up and running with TensorFlow**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_This notebook contains all the sample code and solutions to the exercices in chapter 9._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# To support both python 2 and python 3\n", + "from __future__ import division, print_function, unicode_literals\n", + "\n", + "# Common imports\n", + "import numpy as np\n", + "import numpy.random as rnd\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "rnd.seed(42)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "\n", + "# Where to save the figures\n", + "PROJECT_ROOT_DIR = \".\"\n", + "CHAPTER_ID = \"tensorflow\"\n", + "\n", + "def save_fig(fig_id, tight_layout=True):\n", + " path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n", + " print(\"Saving figure\", fig_id)\n", + " if tight_layout:\n", + " plt.tight_layout()\n", + " plt.savefig(path, format='png', dpi=300)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating and running a graph" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import tensorflow as tf" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "x = tf.Variable(3, name=\"x\")\n", + "y = tf.Variable(4, name=\"y\")\n", + "f = x*x*y + y + 2\n", + "\n", + "f" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "42\n" + ] + } + ], + "source": [ + "sess = tf.Session()\n", + "sess.run(x.initializer)\n", + "sess.run(y.initializer)\n", + "print(sess.run(f))\n", + "sess.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "42" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "with tf.Session() as sess:\n", + " x.initializer.run()\n", + " y.initializer.run()\n", + " result = f.eval()\n", + "\n", + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "42" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "init = tf.initialize_all_variables()\n", + "\n", + "with tf.Session():\n", + " init.run()\n", + " result = f.eval()\n", + "\n", + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "42" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "init = tf.initialize_all_variables()\n", + "\n", + "sess = tf.InteractiveSession()\n", + "init.run()\n", + "result = f.eval()\n", + "sess.close()\n", + "\n", + "result" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Managing graphs" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "x1 = tf.Variable(1)\n", + "x1.graph is tf.get_default_graph()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "graph = tf.Graph()\n", + "with graph.as_default():\n", + " x2 = tf.Variable(2)\n", + "\n", + "x2.graph is tf.get_default_graph()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x2.graph is graph" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10\n", + "15\n" + ] + } + ], + "source": [ + "w = tf.constant(3)\n", + "x = w + 2\n", + "y = x + 5\n", + "z = x * 3\n", + "\n", + "with tf.Session() as sess:\n", + " print(y.eval()) # 10\n", + " print(z.eval()) # 15" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tensor(\"add_1:0\", shape=(), dtype=int32)\n", + "Tensor(\"mul:0\", shape=(), dtype=int32)\n" + ] + } + ], + "source": [ + "with tf.Session() as sess:\n", + " y_val, z_val = sess.run([y, z])\n", + " print(y) # 10\n", + " print(z) # 15" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Linear Regression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using the Normal Equation" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from sklearn.datasets import fetch_california_housing\n", + "\n", + "housing = fetch_california_housing()\n", + "m, n = housing.data.shape\n", + "housing_data_plus_bias = np.c_[np.ones((m, 1)), housing.data]" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ -3.69419202e+01]\n", + " [ 4.36693293e-01]\n", + " [ 9.43577803e-03]\n", + " [ -1.07322041e-01]\n", + " [ 6.45065694e-01]\n", + " [ -3.97638942e-06]\n", + " [ -3.78654265e-03]\n", + " [ -4.21314378e-01]\n", + " [ -4.34513755e-01]]\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "X = tf.constant(housing_data_plus_bias, dtype=tf.float64, name=\"X\")\n", + "y = tf.constant(housing.target.reshape(-1, 1), dtype=tf.float64, name=\"y\")\n", + "XT = tf.transpose(X)\n", + "theta = tf.matmul(tf.matmul(tf.matrix_inverse(tf.matmul(XT, X)), XT), y)\n", + "\n", + "with tf.Session() as sess:\n", + " result = theta.eval()\n", + "\n", + "print(result)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Compare with pure NumPy" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ -3.69419202e+01]\n", + " [ 4.36693293e-01]\n", + " [ 9.43577803e-03]\n", + " [ -1.07322041e-01]\n", + " [ 6.45065694e-01]\n", + " [ -3.97638942e-06]\n", + " [ -3.78654265e-03]\n", + " [ -4.21314378e-01]\n", + " [ -4.34513755e-01]]\n" + ] + } + ], + "source": [ + "X = housing_data_plus_bias\n", + "y = housing.target.reshape(-1, 1)\n", + "theta_numpy = np.linalg.inv(X.T.dot(X)).dot(X.T).dot(y)\n", + "\n", + "print(theta_numpy)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Compare with Scikit-Learn" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ -3.69419202e+01]\n", + " [ 4.36693293e-01]\n", + " [ 9.43577803e-03]\n", + " [ -1.07322041e-01]\n", + " [ 6.45065694e-01]\n", + " [ -3.97638942e-06]\n", + " [ -3.78654265e-03]\n", + " [ -4.21314378e-01]\n", + " [ -4.34513755e-01]]\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/ageron/dev/py/envs/ml/lib/python3.5/site-packages/scipy/linalg/basic.py:884: RuntimeWarning: internal gelsd driver lwork query error, required iwork dimension not returned. This is likely the result of LAPACK bug 0038, fixed in LAPACK 3.2.2 (released July 21, 2010). Falling back to 'gelss' driver.\n", + " warnings.warn(mesg, RuntimeWarning)\n" + ] + } + ], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "lin_reg = LinearRegression()\n", + "lin_reg.fit(housing.data, housing.target.reshape(-1, 1))\n", + "\n", + "print(np.r_[lin_reg.intercept_.reshape(-1, 1), lin_reg.coef_.T])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using Batch Gradient Descent" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Gradient Descent requires scaling the feature vectors first. We could do this using TF, but let's just use Scikit-Learn for now." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "scaler = StandardScaler()\n", + "scaled_housing_data = scaler.fit_transform(housing.data)\n", + "scaled_housing_data_plus_bias = np.c_[np.ones((m, 1)), scaled_housing_data]" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 1.00000000e+00 6.60969987e-17 5.50808322e-18 6.60969987e-17\n", + " -1.06030602e-16 -1.10161664e-17 3.44255201e-18 -1.07958431e-15\n", + " -8.52651283e-15]\n", + "[ 0.38915536 0.36424355 0.5116157 ..., -0.06612179 -0.06360587\n", + " 0.01359031]\n", + "0.111111111111\n", + "(20640, 9)\n" + ] + } + ], + "source": [ + "print(scaled_housing_data_plus_bias.mean(axis=0))\n", + "print(scaled_housing_data_plus_bias.mean(axis=1))\n", + "print(scaled_housing_data_plus_bias.mean())\n", + "print(scaled_housing_data_plus_bias.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Manually computing the gradients" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 0 MSE = 2.75443\n", + "Epoch 100 MSE = 0.632222\n", + "Epoch 200 MSE = 0.57278\n", + "Epoch 300 MSE = 0.558501\n", + "Epoch 400 MSE = 0.549069\n", + "Epoch 500 MSE = 0.542288\n", + "Epoch 600 MSE = 0.537379\n", + "Epoch 700 MSE = 0.533822\n", + "Epoch 800 MSE = 0.531243\n", + "Epoch 900 MSE = 0.52937\n", + "Best theta:\n", + "[[ 2.06855226e+00]\n", + " [ 7.74078071e-01]\n", + " [ 1.31192386e-01]\n", + " [ -1.17845073e-01]\n", + " [ 1.64778158e-01]\n", + " [ 7.44080578e-04]\n", + " [ -3.91945168e-02]\n", + " [ -8.61356676e-01]\n", + " [ -8.23479772e-01]]\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_epochs = 1000\n", + "learning_rate = 0.01\n", + "\n", + "X = tf.constant(scaled_housing_data_plus_bias, dtype=tf.float32, name=\"X\")\n", + "y = tf.constant(housing.target.reshape(-1, 1), dtype=tf.float32, name=\"y\")\n", + "theta = tf.Variable(tf.random_uniform([n + 1, 1], -1.0, 1.0, seed=42), name=\"theta\")\n", + "y_pred = tf.matmul(X, theta, name=\"predictions\")\n", + "error = y_pred - y\n", + "mse = tf.reduce_mean(tf.square(error), name=\"mse\")\n", + "gradients = 2/m * tf.matmul(tf.transpose(X), error)\n", + "training_op = tf.assign(theta, theta - learning_rate * gradients)\n", + "\n", + "init = tf.initialize_all_variables()\n", + "\n", + "with tf.Session() as sess:\n", + " sess.run(init)\n", + "\n", + " for epoch in range(n_epochs):\n", + " if epoch % 100 == 0:\n", + " print(\"Epoch\", epoch, \"MSE =\", mse.eval())\n", + " sess.run(training_op)\n", + " \n", + " best_theta = theta.eval()\n", + "\n", + "print(\"Best theta:\")\n", + "print(best_theta)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Using autodiff\n", + "Same as above except for the `gradients = ...` line." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 0 MSE = 2.75443\n", + "Epoch 100 MSE = 0.632222\n", + "Epoch 200 MSE = 0.57278\n", + "Epoch 300 MSE = 0.558501\n", + "Epoch 400 MSE = 0.549069\n", + "Epoch 500 MSE = 0.542288\n", + "Epoch 600 MSE = 0.537379\n", + "Epoch 700 MSE = 0.533822\n", + "Epoch 800 MSE = 0.531243\n", + "Epoch 900 MSE = 0.529371\n", + "Best theta:\n", + "[[ 2.06855249e+00]\n", + " [ 7.74078071e-01]\n", + " [ 1.31192431e-01]\n", + " [ -1.17845111e-01]\n", + " [ 1.64778188e-01]\n", + " [ 7.44095247e-04]\n", + " [ -3.91945131e-02]\n", + " [ -8.61356497e-01]\n", + " [ -8.23479652e-01]]\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_epochs = 1000\n", + "learning_rate = 0.01\n", + "\n", + "X = tf.constant(scaled_housing_data_plus_bias, dtype=tf.float32, name=\"X\")\n", + "y = tf.constant(housing.target.reshape(-1, 1), dtype=tf.float32, name=\"y\")\n", + "theta = tf.Variable(tf.random_uniform([n + 1, 1], -1.0, 1.0, seed=42), name=\"theta\")\n", + "y_pred = tf.matmul(X, theta, name=\"predictions\")\n", + "error = y_pred - y\n", + "mse = tf.reduce_mean(tf.square(error), name=\"mse\")\n", + "gradients = tf.gradients(mse, [theta])[0]\n", + "training_op = tf.assign(theta, theta - learning_rate * gradients)\n", + "\n", + "init = tf.initialize_all_variables()\n", + "\n", + "with tf.Session() as sess:\n", + " sess.run(init)\n", + "\n", + " for epoch in range(n_epochs):\n", + " if epoch % 100 == 0:\n", + " print(\"Epoch\", epoch, \"MSE =\", mse.eval())\n", + " sess.run(training_op)\n", + " \n", + " best_theta = theta.eval()\n", + "\n", + "print(\"Best theta:\")\n", + "print(best_theta)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Using a `GradientDescentOptimizer`" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 0 MSE = 2.75443\n", + "Epoch 100 MSE = 0.632222\n", + "Epoch 200 MSE = 0.57278\n", + "Epoch 300 MSE = 0.558501\n", + "Epoch 400 MSE = 0.549069\n", + "Epoch 500 MSE = 0.542288\n", + "Epoch 600 MSE = 0.537379\n", + "Epoch 700 MSE = 0.533822\n", + "Epoch 800 MSE = 0.531243\n", + "Epoch 900 MSE = 0.529371\n", + "Best theta:\n", + "[[ 2.06855249e+00]\n", + " [ 7.74078071e-01]\n", + " [ 1.31192431e-01]\n", + " [ -1.17845111e-01]\n", + " [ 1.64778188e-01]\n", + " [ 7.44095247e-04]\n", + " [ -3.91945131e-02]\n", + " [ -8.61356497e-01]\n", + " [ -8.23479652e-01]]\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_epochs = 1000\n", + "learning_rate = 0.01\n", + "\n", + "X = tf.constant(scaled_housing_data_plus_bias, dtype=tf.float32, name=\"X\")\n", + "y = tf.constant(housing.target.reshape(-1, 1), dtype=tf.float32, name=\"y\")\n", + "theta = tf.Variable(tf.random_uniform([n + 1, 1], -1.0, 1.0, seed=42), name=\"theta\")\n", + "y_pred = tf.matmul(X, theta, name=\"predictions\")\n", + "error = y_pred - y\n", + "mse = tf.reduce_mean(tf.square(error), name=\"mse\")\n", + "optimizer = tf.train.GradientDescentOptimizer(learning_rate=learning_rate)\n", + "training_op = optimizer.minimize(mse)\n", + "\n", + "init = tf.initialize_all_variables()\n", + "\n", + "with tf.Session() as sess:\n", + " sess.run(init)\n", + "\n", + " for epoch in range(n_epochs):\n", + " if epoch % 100 == 0:\n", + " print(\"Epoch\", epoch, \"MSE =\", mse.eval())\n", + " sess.run(training_op)\n", + " \n", + " best_theta = theta.eval()\n", + "\n", + "print(\"Best theta:\")\n", + "print(best_theta)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Using a momentum optimizer" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_epochs = 1000\n", + "learning_rate = 0.01\n", + "\n", + "X = tf.constant(scaled_housing_data_plus_bias, dtype=tf.float32, name=\"X\")\n", + "y = tf.constant(housing.target.reshape(-1, 1), dtype=tf.float32, name=\"y\")\n", + "theta = tf.Variable(tf.random_uniform([n + 1, 1], -1.0, 1.0, seed=42), name=\"theta\")\n", + "y_pred = tf.matmul(X, theta, name=\"predictions\")\n", + "error = y_pred - y\n", + "mse = tf.reduce_mean(tf.square(error), name=\"mse\")\n", + "optimizer = tf.train.MomentumOptimizer(learning_rate=learning_rate, momentum=0.25)\n", + "training_op = optimizer.minimize(mse)\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best theta:\n", + "[[ 2.06855392e+00]\n", + " [ 7.94067979e-01]\n", + " [ 1.25333667e-01]\n", + " [ -1.73580617e-01]\n", + " [ 2.18767941e-01]\n", + " [ -1.64708309e-03]\n", + " [ -3.91250402e-02]\n", + " [ -8.85288954e-01]\n", + " [ -8.50607932e-01]]\n" + ] + } + ], + "source": [ + "with tf.Session() as sess:\n", + " sess.run(init)\n", + "\n", + " for epoch in range(n_epochs):\n", + " sess.run(training_op)\n", + " \n", + " best_theta = theta.eval()\n", + "\n", + "print(\"Best theta:\")\n", + "print(best_theta)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Feeding data to the training algorithm" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Placeholder nodes" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 6. 7. 8.]]\n", + "[[ 9. 10. 11.]\n", + " [ 12. 13. 14.]]\n" + ] + } + ], + "source": [ + ">>> tf.reset_default_graph()\n", + "\n", + ">>> A = tf.placeholder(tf.float32, shape=(None, 3))\n", + ">>> B = A + 5\n", + ">>> with tf.Session() as sess:\n", + "... B_val_1 = B.eval(feed_dict={A: [[1, 2, 3]]})\n", + "... B_val_2 = B.eval(feed_dict={A: [[4, 5, 6], [7, 8, 9]]})\n", + "...\n", + ">>> print(B_val_1)\n", + ">>> print(B_val_2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Mini-batch Gradient Descent" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_epochs = 1000\n", + "learning_rate = 0.01\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n + 1), name=\"X\")\n", + "y = tf.placeholder(tf.float32, shape=(None, 1), name=\"y\")\n", + "theta = tf.Variable(tf.random_uniform([n + 1, 1], -1.0, 1.0, seed=42), name=\"theta\")\n", + "y_pred = tf.matmul(X, theta, name=\"predictions\")\n", + "error = y_pred - y\n", + "mse = tf.reduce_mean(tf.square(error), name=\"mse\")\n", + "optimizer = tf.train.GradientDescentOptimizer(learning_rate=learning_rate)\n", + "training_op = optimizer.minimize(mse)\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best theta:\n", + "[[ 2.07001591]\n", + " [ 0.82045603]\n", + " [ 0.11731729]\n", + " [-0.22739051]\n", + " [ 0.31134024]\n", + " [ 0.00353193]\n", + " [-0.01126994]\n", + " [-0.91643947]\n", + " [-0.87950093]]\n" + ] + } + ], + "source": [ + "def fetch_batch(epoch, batch_index, batch_size):\n", + " rnd.seed(epoch * n_batches + batch_index)\n", + " indices = rnd.randint(m, size=batch_size)\n", + " X_batch = scaled_housing_data_plus_bias[indices]\n", + " y_batch = housing.target.reshape(-1, 1)[indices]\n", + " return X_batch, y_batch\n", + "\n", + "n_epochs = 10\n", + "batch_size = 100\n", + "n_batches = int(np.ceil(m / batch_size))\n", + "\n", + "with tf.Session() as sess:\n", + " sess.run(init)\n", + "\n", + " for epoch in range(n_epochs):\n", + " for batch_index in range(n_batches):\n", + " X_batch, y_batch = fetch_batch(epoch, batch_index, batch_size)\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + "\n", + " best_theta = theta.eval()\n", + " \n", + "print(\"Best theta:\")\n", + "print(best_theta)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Saving and restoring a model" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_epochs = 1000\n", + "learning_rate = 0.01\n", + "\n", + "X = tf.constant(scaled_housing_data_plus_bias, dtype=tf.float32, name=\"X\")\n", + "y = tf.constant(housing.target.reshape(-1, 1), dtype=tf.float32, name=\"y\")\n", + "theta = tf.Variable(tf.random_uniform([n + 1, 1], -1.0, 1.0, seed=42), name=\"theta\")\n", + "y_pred = tf.matmul(X, theta, name=\"predictions\")\n", + "error = y_pred - y\n", + "mse = tf.reduce_mean(tf.square(error), name=\"mse\")\n", + "optimizer = tf.train.GradientDescentOptimizer(learning_rate=learning_rate)\n", + "training_op = optimizer.minimize(mse)\n", + "\n", + "init = tf.initialize_all_variables()\n", + "saver = tf.train.Saver()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 0 MSE = 2.75443\n", + "Epoch 100 MSE = 0.632222\n", + "Epoch 200 MSE = 0.57278\n", + "Epoch 300 MSE = 0.558501\n", + "Epoch 400 MSE = 0.549069\n", + "Epoch 500 MSE = 0.542288\n", + "Epoch 600 MSE = 0.537379\n", + "Epoch 700 MSE = 0.533822\n", + "Epoch 800 MSE = 0.531243\n", + "Epoch 900 MSE = 0.529371\n", + "Best theta:\n", + "[[ 2.06855249e+00]\n", + " [ 7.74078071e-01]\n", + " [ 1.31192431e-01]\n", + " [ -1.17845111e-01]\n", + " [ 1.64778188e-01]\n", + " [ 7.44095247e-04]\n", + " [ -3.91945131e-02]\n", + " [ -8.61356497e-01]\n", + " [ -8.23479652e-01]]\n" + ] + } + ], + "source": [ + "with tf.Session() as sess:\n", + " sess.run(init)\n", + "\n", + " for epoch in range(n_epochs):\n", + " if epoch % 100 == 0:\n", + " print(\"Epoch\", epoch, \"MSE =\", mse.eval())\n", + " save_path = saver.save(sess, \"/tmp/my_model.ckpt\")\n", + " sess.run(training_op)\n", + " \n", + " best_theta = theta.eval()\n", + " save_path = saver.save(sess, \"my_model_final.ckpt\")\n", + "\n", + "print(\"Best theta:\")\n", + "print(best_theta)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Visualizing the graph\n", + "## inside Jupyter" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from IPython.display import clear_output, Image, display, HTML\n", + "\n", + "def strip_consts(graph_def, max_const_size=32):\n", + " \"\"\"Strip large constant values from graph_def.\"\"\"\n", + " strip_def = tf.GraphDef()\n", + " for n0 in graph_def.node:\n", + " n = strip_def.node.add() \n", + " n.MergeFrom(n0)\n", + " if n.op == 'Const':\n", + " tensor = n.attr['value'].tensor\n", + " size = len(tensor.tensor_content)\n", + " if size > max_const_size:\n", + " tensor.tensor_content = b\"\"%size\n", + " return strip_def\n", + "\n", + "def show_graph(graph_def, max_const_size=32):\n", + " \"\"\"Visualize TensorFlow graph.\"\"\"\n", + " if hasattr(graph_def, 'as_graph_def'):\n", + " graph_def = graph_def.as_graph_def()\n", + " strip_def = strip_consts(graph_def, max_const_size=max_const_size)\n", + " code = \"\"\"\n", + " \n", + " \n", + "
\n", + " \n", + "
\n", + " \"\"\".format(data=repr(str(strip_def)), id='graph'+str(np.random.rand()))\n", + "\n", + " iframe = \"\"\"\n", + " \n", + " \"\"\".format(code.replace('\"', '"'))\n", + " display(HTML(iframe))" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_graph(tf.get_default_graph())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using TensorBoard" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "from datetime import datetime\n", + "\n", + "now = datetime.utcnow().strftime(\"%Y%m%d%H%M%S\")\n", + "root_logdir = \"tf_logs\"\n", + "logdir = \"{}/run-{}/\".format(root_logdir, now)\n", + "\n", + "n_epochs = 1000\n", + "learning_rate = 0.01\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n + 1), name=\"X\")\n", + "y = tf.placeholder(tf.float32, shape=(None, 1), name=\"y\")\n", + "theta = tf.Variable(tf.random_uniform([n + 1, 1], -1.0, 1.0, seed=42), name=\"theta\")\n", + "y_pred = tf.matmul(X, theta, name=\"predictions\")\n", + "error = y_pred - y\n", + "mse = tf.reduce_mean(tf.square(error), name=\"mse\")\n", + "optimizer = tf.train.GradientDescentOptimizer(learning_rate=learning_rate)\n", + "training_op = optimizer.minimize(mse)\n", + "\n", + "init = tf.initialize_all_variables()\n", + "\n", + "mse_summary = tf.scalar_summary('MSE', mse)\n", + "summary_writer = tf.train.SummaryWriter(logdir, tf.get_default_graph())" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best theta:\n", + "[[ 2.07001591]\n", + " [ 0.82045603]\n", + " [ 0.11731729]\n", + " [-0.22739051]\n", + " [ 0.31134024]\n", + " [ 0.00353193]\n", + " [-0.01126994]\n", + " [-0.91643947]\n", + " [-0.87950093]]\n" + ] + } + ], + "source": [ + "n_epochs = 10\n", + "batch_size = 100\n", + "n_batches = int(np.ceil(m / batch_size))\n", + "\n", + "with tf.Session() as sess:\n", + " sess.run(init)\n", + "\n", + " for epoch in range(n_epochs):\n", + " for batch_index in range(n_batches):\n", + " X_batch, y_batch = fetch_batch(epoch, batch_index, batch_size)\n", + " if batch_index % 10 == 0:\n", + " summary_str = mse_summary.eval(feed_dict={X: X_batch, y: y_batch})\n", + " step = epoch * n_batches + batch_index\n", + " summary_writer.add_summary(summary_str, step)\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + "\n", + " best_theta = theta.eval()\n", + "\n", + "summary_writer.flush()\n", + "summary_writer.close()\n", + "print(\"Best theta:\")\n", + "print(best_theta)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Name scopes" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "now = datetime.utcnow().strftime(\"%Y%m%d%H%M%S\")\n", + "root_logdir = \"tf_logs\"\n", + "logdir = \"{}/run-{}/\".format(root_logdir, now)\n", + "\n", + "n_epochs = 1000\n", + "learning_rate = 0.01\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n + 1), name=\"X\")\n", + "y = tf.placeholder(tf.float32, shape=(None, 1), name=\"y\")\n", + "theta = tf.Variable(tf.random_uniform([n + 1, 1], -1.0, 1.0, seed=42), name=\"theta\")\n", + "y_pred = tf.matmul(X, theta, name=\"predictions\")\n", + "with tf.name_scope('loss') as scope:\n", + " error = y_pred - y\n", + " mse = tf.reduce_mean(tf.square(error), name=\"mse\")\n", + "optimizer = tf.train.GradientDescentOptimizer(learning_rate=learning_rate)\n", + "training_op = optimizer.minimize(mse)\n", + "\n", + "init = tf.initialize_all_variables()\n", + "\n", + "mse_summary = tf.scalar_summary('MSE', mse)\n", + "summary_writer = tf.train.SummaryWriter(logdir, tf.get_default_graph())" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best theta:\n", + "[[ 2.07001591]\n", + " [ 0.82045603]\n", + " [ 0.11731729]\n", + " [-0.22739051]\n", + " [ 0.31134024]\n", + " [ 0.00353193]\n", + " [-0.01126994]\n", + " [-0.91643947]\n", + " [-0.87950093]]\n" + ] + } + ], + "source": [ + "n_epochs = 10\n", + "batch_size = 100\n", + "n_batches = int(np.ceil(m / batch_size))\n", + "\n", + "with tf.Session() as sess:\n", + " sess.run(init)\n", + "\n", + " for epoch in range(n_epochs):\n", + " for batch_index in range(n_batches):\n", + " X_batch, y_batch = fetch_batch(epoch, batch_index, batch_size)\n", + " if batch_index % 10 == 0:\n", + " summary_str = mse_summary.eval(feed_dict={X: X_batch, y: y_batch})\n", + " step = epoch * n_batches + batch_index\n", + " summary_writer.add_summary(summary_str, step)\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + "\n", + " best_theta = theta.eval()\n", + "\n", + "summary_writer.flush()\n", + "summary_writer.close()\n", + "print(\"Best theta:\")\n", + "print(best_theta)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "loss/sub\n" + ] + } + ], + "source": [ + "print(error.op.name)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "loss/mse\n" + ] + } + ], + "source": [ + "print(mse.op.name)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a\n", + "a_1\n", + "param/a\n", + "param_1/a\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "a1 = tf.Variable(0, name=\"a\") # name == \"a\"\n", + "a2 = tf.Variable(0, name=\"a\") # name == \"a_1\"\n", + "\n", + "with tf.name_scope(\"param\"): # name == \"param\"\n", + " a3 = tf.Variable(0, name=\"a\") # name == \"param/a\"\n", + "\n", + "with tf.name_scope(\"param\"): # name == \"param_1\"\n", + " a4 = tf.Variable(0, name=\"a\") # name == \"param_1/a\"\n", + "\n", + "for node in (a1, a2, a3, a4):\n", + " print(node.op.name)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Modularity" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "An ugly flat code:" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_features = 3\n", + "X = tf.placeholder(tf.float32, shape=(None, n_features), name=\"X\")\n", + "\n", + "w1 = tf.Variable(tf.random_normal((n_features, 1)), name=\"weights1\")\n", + "w2 = tf.Variable(tf.random_normal((n_features, 1)), name=\"weights2\")\n", + "b1 = tf.Variable(0.0, name=\"bias1\")\n", + "b2 = tf.Variable(0.0, name=\"bias2\")\n", + "\n", + "linear1 = tf.add(tf.matmul(X, w1), b1, name=\"linear1\")\n", + "linear2 = tf.add(tf.matmul(X, w2), b2, name=\"linear2\")\n", + "\n", + "relu1 = tf.maximum(linear1, 0, name=\"relu1\")\n", + "relu2 = tf.maximum(linear1, 0, name=\"relu2\") # Oops, cut&paste error! Did you spot it?\n", + "\n", + "output = tf.add_n([relu1, relu2], name=\"output\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Much better, using a function to build the ReLUs:" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "def relu(X):\n", + " w_shape = int(X.get_shape()[1]), 1\n", + " w = tf.Variable(tf.random_normal(w_shape), name=\"weights\")\n", + " b = tf.Variable(0.0, name=\"bias\")\n", + " linear = tf.add(tf.matmul(X, w), b, name=\"linear\")\n", + " return tf.maximum(linear, 0, name=\"relu\")\n", + "\n", + "n_features = 3\n", + "X = tf.placeholder(tf.float32, shape=(None, n_features), name=\"X\")\n", + "relus = [relu(X) for i in range(5)]\n", + "output = tf.add_n(relus, name=\"output\")\n", + "summary_writer = tf.train.SummaryWriter(\"logs/relu1\", tf.get_default_graph())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Even better using name scopes:" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "def relu(X):\n", + " with tf.name_scope(\"relu\"):\n", + " w_shape = int(X.get_shape()[1]), 1\n", + " w = tf.Variable(tf.random_normal(w_shape), name=\"weights\")\n", + " b = tf.Variable(0.0, name=\"bias\")\n", + " linear = tf.add(tf.matmul(X, w), b, name=\"linear\")\n", + " return tf.maximum(linear, 0, name=\"max\")\n", + "\n", + "n_features = 3\n", + "X = tf.placeholder(tf.float32, shape=(None, n_features), name=\"X\")\n", + "relus = [relu(X) for i in range(5)]\n", + "output = tf.add_n(relus, name=\"output\")\n", + "\n", + "summary_writer = tf.train.SummaryWriter(\"logs/relu2\", tf.get_default_graph())" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "summary_writer.close()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Sharing a `threshold` variable the classic way, by defining it outside of the `relu()` function then passing it as a parameter:" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "def relu(X, threshold):\n", + " with tf.name_scope(\"relu\"):\n", + " w_shape = int(X.get_shape()[1]), 1\n", + " w = tf.Variable(tf.random_normal(w_shape), name=\"weights\")\n", + " b = tf.Variable(0.0, name=\"bias\")\n", + " linear = tf.add(tf.matmul(X, w), b, name=\"linear\")\n", + " return tf.maximum(linear, threshold, name=\"max\")\n", + "\n", + "threshold = tf.Variable(0.0, name=\"threshold\")\n", + "X = tf.placeholder(tf.float32, shape=(None, n_features), name=\"X\")\n", + "relus = [relu(X, threshold) for i in range(5)]\n", + "output = tf.add_n(relus, name=\"output\")" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "def relu(X):\n", + " with tf.name_scope(\"relu\"):\n", + " if not hasattr(relu, \"threshold\"):\n", + " relu.threshold = tf.Variable(0.0, name=\"threshold\")\n", + " w_shape = int(X.get_shape()[1]), 1\n", + " w = tf.Variable(tf.random_normal(w_shape), name=\"weights\")\n", + " b = tf.Variable(0.0, name=\"bias\")\n", + " linear = tf.add(tf.matmul(X, w), b, name=\"linear\")\n", + " return tf.maximum(linear, relu.threshold, name=\"max\")\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n_features), name=\"X\")\n", + "relus = [relu(X) for i in range(5)]\n", + "output = tf.add_n(relus, name=\"output\")" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "def relu(X):\n", + " with tf.variable_scope(\"relu\", reuse=True):\n", + " threshold = tf.get_variable(\"threshold\", shape=(), initializer=tf.constant_initializer(0.0))\n", + " w_shape = int(X.get_shape()[1]), 1\n", + " w = tf.Variable(tf.random_normal(w_shape), name=\"weights\")\n", + " b = tf.Variable(0.0, name=\"bias\")\n", + " linear = tf.add(tf.matmul(X, w), b, name=\"linear\")\n", + " return tf.maximum(linear, threshold, name=\"max\")\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n_features), name=\"X\")\n", + "with tf.variable_scope(\"relu\"):\n", + " threshold = tf.get_variable(\"threshold\", shape=(), initializer=tf.constant_initializer(0.0))\n", + "relus = [relu(X) for i in range(5)]\n", + "output = tf.add_n(relus, name=\"output\")\n", + "\n", + "summary_writer = tf.train.SummaryWriter(\"logs/relu6\", tf.get_default_graph())\n", + "summary_writer.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "def relu(X):\n", + " with tf.variable_scope(\"relu\"):\n", + " threshold = tf.get_variable(\"threshold\", shape=(), initializer=tf.constant_initializer(0.0))\n", + " w_shape = int(X.get_shape()[1]), 1\n", + " w = tf.Variable(tf.random_normal(w_shape), name=\"weights\")\n", + " b = tf.Variable(0.0, name=\"bias\")\n", + " linear = tf.add(tf.matmul(X, w), b, name=\"linear\")\n", + " return tf.maximum(linear, threshold, name=\"max\")\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n_features), name=\"X\")\n", + "with tf.variable_scope(\"\") as scope:\n", + " first_relu = relu(X) # create the shared variable\n", + " scope.reuse_variables() # then reuse it\n", + " relus = [first_relu] + [relu(X) for i in range(4)]\n", + "output = tf.add_n(relus, name=\"output\")\n", + "\n", + "summary_writer = tf.train.SummaryWriter(\"logs/relu8\", tf.get_default_graph())\n", + "summary_writer.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "True\n", + "param/x\n", + "param/x\n", + "param/x\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "with tf.variable_scope(\"param\"):\n", + " x = tf.get_variable(\"x\", shape=(), initializer=tf.constant_initializer(0.))\n", + " #x = tf.Variable(0., name=\"x\")\n", + "with tf.variable_scope(\"param\", reuse=True):\n", + " y = tf.get_variable(\"x\")\n", + "\n", + "with tf.variable_scope(\"\", reuse=True):\n", + " z = tf.get_variable(\"param/x\", shape=(), initializer=tf.constant_initializer(0.))\n", + "\n", + "print(x is y)\n", + "print(x.op.name)\n", + "print(y.op.name)\n", + "print(z.op.name)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Extra material" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Strings" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[b'Do' b'you' b'want' b'some' b'caf\\xc3\\xa9?']\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "text = np.array(\"Do you want some café?\".split())\n", + "text_tensor = tf.constant(text)\n", + "\n", + "with tf.Session() as sess:\n", + " print(text_tensor.eval())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Distributed TensorFlow" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "server = tf.train.Server.create_local_server()" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5\n" + ] + } + ], + "source": [ + "x = tf.constant(2) + tf.constant(3)\n", + "with tf.Session(server.target) as sess:\n", + " print(sess.run(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "b'grpc://localhost:52906'" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "server.target" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f(x,y) = ((x) * (x)) * (y) + y + 2\n", + "f(3,4) = 42\n" + ] + } + ], + "source": [ + "class Const(object):\n", + " def __init__(self, value):\n", + " self.value = value\n", + " def evaluate(self, **variables):\n", + " return self.value\n", + " def __str__(self):\n", + " return str(self.value)\n", + "\n", + "class Var(object):\n", + " def __init__(self, name):\n", + " self.name = name\n", + " def evaluate(self, **variables):\n", + " return variables[self.name]\n", + " def __str__(self):\n", + " return self.name\n", + "\n", + "class BinaryOperator(object):\n", + " def __init__(self, a, b):\n", + " self.a = a\n", + " self.b = b\n", + "\n", + "class Add(BinaryOperator):\n", + " def evaluate(self, **variables):\n", + " return self.a.evaluate(**variables) + self.b.evaluate(**variables)\n", + " def __str__(self):\n", + " return \"{} + {}\".format(self.a, self.b)\n", + "\n", + "class Mul(BinaryOperator):\n", + " def evaluate(self, **variables):\n", + " return self.a.evaluate(**variables) * self.b.evaluate(**variables)\n", + " def __str__(self):\n", + " return \"({}) * ({})\".format(self.a, self.b)\n", + "\n", + "x = Var(\"x\")\n", + "y = Var(\"y\")\n", + "f = Add(Mul(Mul(x, x), y), Add(y, Const(2))) # f(x,y) = x²y + y + 2\n", + "print(\"f(x,y) =\", f)\n", + "print(\"f(3,4) =\", f.evaluate(x=3, y=4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Computing gradients\n", + "### Mathematical differentiation" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "df/dx(3,4) = 24\n", + "df/dy(3,4) = 10\n" + ] + } + ], + "source": [ + "df_dx = Mul(Const(2), Mul(Var(\"x\"), Var(\"y\"))) # df/dx = 2xy\n", + "df_dy = Add(Mul(Var(\"x\"), Var(\"x\")), Const(1)) # df/dy = x² + 1\n", + "print(\"df/dx(3,4) =\", df_dx.evaluate(x=3, y=4))\n", + "print(\"df/dy(3,4) =\", df_dy.evaluate(x=3, y=4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Numerical differentiation" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "df/dx(3,4) = 24.000400000048216\n", + "df/dy(3,4) = 10.000000000047748\n" + ] + } + ], + "source": [ + "def derivative(f, x, y, x_eps, y_eps):\n", + " return (f.evaluate(x = x + x_eps, y = y + y_eps) - f.evaluate(x = x, y = y)) / (x_eps + y_eps)\n", + "\n", + "df_dx_34 = derivative(f, x=3, y=4, x_eps=0.0001, y_eps=0)\n", + "df_dy_34 = derivative(f, x=3, y=4, x_eps=0, y_eps=0.0001)\n", + "print(\"df/dx(3,4) =\", df_dx_34)\n", + "print(\"df/dy(3,4) =\", df_dy_34)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def f(x, y):\n", + " return x**2*y + y + 2\n", + "\n", + "def derivative(f, x, y, x_eps, y_eps):\n", + " return (f(x + x_eps, y + y_eps) - f(x, y)) / (x_eps + y_eps)\n", + "\n", + "df_dx = derivative(f, 3, 4, 0.00001, 0)\n", + "df_dy = derivative(f, 3, 4, 0, 0.00001)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "24.000039999805264\n", + "10.000000000331966\n" + ] + } + ], + "source": [ + "print(df_dx)\n", + "print(df_dy)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Symbolic differentiation" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "df/dx(3,4) = 24\n", + "df/dy(3,4) = 10\n" + ] + } + ], + "source": [ + "Const.derive = lambda self, var: Const(0)\n", + "Var.derive = lambda self, var: Const(1) if self.name==var else Const(0)\n", + "Add.derive = lambda self, var: Add(self.a.derive(var), self.b.derive(var))\n", + "Mul.derive = lambda self, var: Add(Mul(self.a, self.b.derive(var)), Mul(self.a.derive(var), self.b))\n", + "\n", + "x = Var(\"x\")\n", + "y = Var(\"y\")\n", + "f = Add(Mul(Mul(x, x), y), Add(y, Const(2))) # f(x,y) = x²y + y + 2\n", + "\n", + "df_dx = f.derive(\"x\") # 2xy\n", + "df_dy = f.derive(\"y\") # x² + 1\n", + "print(\"df/dx(3,4) =\", df_dx.evaluate(x=3, y=4))\n", + "print(\"df/dy(3,4) =\", df_dy.evaluate(x=3, y=4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Automatic differentiation (autodiff) – forward mode" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f(3,4) = 42\n", + "df/dx(3,4) = 24\n", + "df/dy(3,4) = 10\n" + ] + } + ], + "source": [ + "class Const(object):\n", + " def __init__(self, value):\n", + " self.value = value\n", + " def evaluate(self, derive, **variables):\n", + " return self.value, 0\n", + " def __str__(self):\n", + " return str(self.value)\n", + "\n", + "class Var(object):\n", + " def __init__(self, name):\n", + " self.name = name\n", + " def evaluate(self, derive, **variables):\n", + " return variables[self.name], (1 if derive == self.name else 0)\n", + " def __str__(self):\n", + " return self.name\n", + "\n", + "class BinaryOperator(object):\n", + " def __init__(self, a, b):\n", + " self.a = a\n", + " self.b = b\n", + "\n", + "class Add(BinaryOperator):\n", + " def evaluate(self, derive, **variables):\n", + " a, da = self.a.evaluate(derive, **variables)\n", + " b, db = self.b.evaluate(derive, **variables)\n", + " return a + b, da + db\n", + " def __str__(self):\n", + " return \"{} + {}\".format(self.a, self.b)\n", + "\n", + "class Mul(BinaryOperator):\n", + " def evaluate(self, derive, **variables):\n", + " a, da = self.a.evaluate(derive, **variables)\n", + " b, db = self.b.evaluate(derive, **variables)\n", + " return a * b, a * db + da * b\n", + " def __str__(self):\n", + " return \"({}) * ({})\".format(self.a, self.b)\n", + "\n", + "x = Var(\"x\")\n", + "y = Var(\"y\")\n", + "f = Add(Mul(Mul(x, x), y), Add(y, Const(2))) # f(x,y) = x²y + y + 2\n", + "f34, df_dx_34 = f.evaluate(x=3, y=4, derive=\"x\")\n", + "f34, df_dy_34 = f.evaluate(x=3, y=4, derive=\"y\")\n", + "print(\"f(3,4) =\", f34)\n", + "print(\"df/dx(3,4) =\", df_dx_34)\n", + "print(\"df/dy(3,4) =\", df_dy_34)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Autodiff – Reverse mode" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "class Const(object):\n", + " def __init__(self, value):\n", + " self.derivative = 0\n", + " self.value = value\n", + " def evaluate(self, **variables):\n", + " return self.value\n", + " def backpropagate(self, derivative):\n", + " pass\n", + " def __str__(self):\n", + " return str(self.value)\n", + "\n", + "class Var(object):\n", + " def __init__(self, name):\n", + " self.name = name\n", + " def evaluate(self, **variables):\n", + " self.derivative = 0\n", + " self.value = variables[self.name]\n", + " return self.value\n", + " def backpropagate(self, derivative):\n", + " self.derivative += derivative\n", + " def __str__(self):\n", + " return self.name\n", + "\n", + "class BinaryOperator(object):\n", + " def __init__(self, a, b):\n", + " self.a = a\n", + " self.b = b\n", + "\n", + "class Add(BinaryOperator):\n", + " def evaluate(self, **variables):\n", + " self.derivative = 0\n", + " self.value = self.a.evaluate(**variables) + self.b.evaluate(**variables)\n", + " return self.value\n", + " def backpropagate(self, derivative):\n", + " self.derivative += derivative\n", + " self.a.backpropagate(derivative)\n", + " self.b.backpropagate(derivative)\n", + " def __str__(self):\n", + " return \"{} + {}\".format(self.a, self.b)\n", + "\n", + "class Mul(BinaryOperator):\n", + " def evaluate(self, **variables):\n", + " self.derivative = 0\n", + " self.value = self.a.evaluate(**variables) * self.b.evaluate(**variables)\n", + " return self.value\n", + " def backpropagate(self, derivative):\n", + " self.derivative += derivative\n", + " self.a.backpropagate(derivative * self.b.value)\n", + " self.b.backpropagate(derivative * self.a.value)\n", + " def __str__(self):\n", + " return \"({}) * ({})\".format(self.a, self.b)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f(3,4) = 42\n", + "df/dx(3,4) = 24\n", + "df/dy(3,4) = 10\n" + ] + } + ], + "source": [ + "x = Var(\"x\")\n", + "y = Var(\"y\")\n", + "f = Add(Mul(Mul(x, x), y), Add(y, Const(2))) # f(x,y) = x²y + y + 2\n", + "f34 = f.evaluate(x=3, y=4)\n", + "f.backpropagate(1)\n", + "print(\"f(3,4) =\", f34)\n", + "print(\"df/dx(3,4) =\", x.derivative)\n", + "print(\"df/dy(3,4) =\", y.derivative)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Autodiff – reverse mode (using TensorFlow)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(42.0, [24.0, 10.0])" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "x = tf.Variable(3., name=\"x\")\n", + "y = tf.Variable(4., name=\"x\")\n", + "f = x*x*y + y + 2\n", + "\n", + "gradients = tf.gradients(f, [x, y])\n", + "\n", + "init = tf.initialize_all_variables()\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " f_val, gradients_val = sess.run([f, gradients])\n", + "\n", + "f_val, gradients_val" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exercise solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Coming soon**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + }, + "nav_menu": { + "height": "603px", + "width": "616px" + }, + "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, + "toc_cell": false, + "toc_section_display": "block", + "toc_window_display": true + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/10_introduction_to_artificial_neural_networks.ipynb b/10_introduction_to_artificial_neural_networks.ipynb new file mode 100644 index 000000000..99bfb91ea --- /dev/null +++ b/10_introduction_to_artificial_neural_networks.ipynb @@ -0,0 +1,908 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Chapter 10 – Introduction to Artificial Neural Networks**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_This notebook contains all the sample code and solutions to the exercices in chapter 10._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# To support both python 2 and python 3\n", + "from __future__ import division, print_function, unicode_literals\n", + "\n", + "# Common imports\n", + "import numpy as np\n", + "import numpy.random as rnd\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "rnd.seed(42)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "\n", + "# Where to save the figures\n", + "PROJECT_ROOT_DIR = \".\"\n", + "CHAPTER_ID = \"ann\"\n", + "\n", + "def save_fig(fig_id, tight_layout=True):\n", + " path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n", + " print(\"Saving figure\", fig_id)\n", + " if tight_layout:\n", + " plt.tight_layout()\n", + " plt.savefig(path, format='png', dpi=300)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Perceptrons" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sklearn.datasets import load_iris\n", + "iris = load_iris()\n", + "X = iris.data[:, (2, 3)] # petal length, petal width\n", + "y = (iris.target == 0).astype(np.int)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.linear_model import Perceptron\n", + "\n", + "per_clf = Perceptron(random_state=42)\n", + "per_clf.fit(X, y)\n", + "\n", + "y_pred = per_clf.predict([[2, 0.5]])\n", + "y_pred" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure perceptron_iris_plot\n" + ] + }, + { + "data": { + "image/png": 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SD8cHUExceml1rVo1TC+/fL+McZ0G4ujRA5ow4XbNnz9QyclJDiUEAAAAPJef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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a = -per_clf.coef_[0][0] / per_clf.coef_[0][1]\n", + "b = -per_clf.intercept_ / per_clf.coef_[0][1]\n", + "\n", + "axes = [0, 5, 0, 2]\n", + "\n", + "x0, x1 = np.meshgrid(\n", + " np.linspace(axes[0], axes[1], 500).reshape(-1, 1),\n", + " np.linspace(axes[2], axes[3], 200).reshape(-1, 1),\n", + " )\n", + "X_new = np.c_[x0.ravel(), x1.ravel()]\n", + "y_predict = per_clf.predict(X_new)\n", + "zz = y_predict.reshape(x0.shape)\n", + "\n", + "plt.figure(figsize=(10, 4))\n", + "plt.plot(X[y==0, 0], X[y==0, 1], \"bs\", label=\"Not Iris-Setosa\")\n", + "plt.plot(X[y==1, 0], X[y==1, 1], \"yo\", label=\"Iris-Setosa\")\n", + "\n", + "plt.plot([axes[0], axes[1]], [a * axes[0] + b, a * axes[1] + b], \"k-\", linewidth=3)\n", + "from matplotlib.colors import ListedColormap\n", + "custom_cmap = ListedColormap(['#9898ff', '#fafab0'])\n", + "\n", + "plt.contourf(x0, x1, zz, cmap=custom_cmap, linewidth=5)\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.ylabel(\"Petal width\", fontsize=14)\n", + "plt.legend(loc=\"lower right\", fontsize=14)\n", + "plt.axis(axes)\n", + "\n", + "save_fig(\"perceptron_iris_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Activation functions" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def logit(z):\n", + " return 1 / (1 + np.exp(-z))\n", + "\n", + "def relu(z):\n", + " return np.maximum(0, z)\n", + "\n", + "def derivative(f, z, eps=0.000001):\n", + " return (f(z + eps) - f(z - eps))/(2 * eps)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure activation_functions_plot\n" + ] + }, + { + "data": { + "image/png": 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TgHPMbHf8c7ad8T2eZwMXRo/CUgM1bTVRnbuAfwL/NbMX8RXAx+HvtNR7G865h8zsMPx+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\n8hyMHQurV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UecYjEnzqaUCQaec84gHn/cPBpWWGj6z7nhBnOPjBtnWpDUZF936TnpNKvX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\nCCGEEEIIIYQQwjH+Hx4xpPz8QS8lAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "z = np.linspace(-5, 5, 200)\n", + "\n", + "plt.figure(figsize=(11,4))\n", + "\n", + "plt.subplot(121)\n", + "plt.plot(z, np.sign(z), \"r-\", linewidth=2, label=\"Step\")\n", + "plt.plot(z, logit(z), \"g--\", linewidth=2, label=\"Logit\")\n", + "plt.plot(z, np.tanh(z), \"b-\", linewidth=2, label=\"Tanh\")\n", + "plt.plot(z, relu(z), \"m-.\", linewidth=2, label=\"ReLU\")\n", + "plt.grid(True)\n", + "plt.legend(loc=\"center right\", fontsize=14)\n", + "plt.title(\"Activation functions\", fontsize=14)\n", + "plt.axis([-5, 5, -1.2, 1.2])\n", + "\n", + "plt.subplot(122)\n", + "plt.plot(z, derivative(np.sign, z), \"r-\", linewidth=2, label=\"Step\")\n", + "plt.plot(0, 0, \"ro\", markersize=5)\n", + "plt.plot(0, 0, \"rx\", markersize=10)\n", + "plt.plot(z, derivative(logit, z), \"g--\", linewidth=2, label=\"Logit\")\n", + "plt.plot(z, derivative(np.tanh, z), \"b-\", linewidth=2, label=\"Tanh\")\n", + "plt.plot(z, derivative(relu, z), \"m-.\", linewidth=2, label=\"ReLU\")\n", + "plt.grid(True)\n", + "#plt.legend(loc=\"center right\", fontsize=14)\n", + "plt.title(\"Derivatives\", fontsize=14)\n", + "plt.axis([-5, 5, -0.2, 1.2])\n", + "\n", + "save_fig(\"activation_functions_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def heaviside(z):\n", + " return (z >= 0).astype(z.dtype)\n", + "\n", + "def sigmoid(z):\n", + " return 1/(1+np.exp(-z))\n", + "\n", + "def mlp_xor(x1, x2, activation=heaviside):\n", + " return activation(-activation(x1 + x2 - 1.5) + activation(x1 + x2 - 0.5) - 0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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6hcFv/SoAGzbsXPuGQ/aDizIwsB14abDEWAXArwfAml3h1+vhpB7X0TTHJtcB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\nGMmpE81sB2zVZlvabFsvNbmTOiwefZXK8JhLwOKqLkekanm0m626996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Nx+vGXFwBzLri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\ncRcQAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x1s = np.linspace(-0.2, 1.2, 100)\n", + "x2s = np.linspace(-0.2, 1.2, 100)\n", + "x1, x2 = np.meshgrid(x1s, x2s)\n", + "\n", + "z1 = mlp_xor(x1, x2, activation=heaviside)\n", + "z2 = mlp_xor(x1, x2, activation=sigmoid)\n", + "\n", + "plt.figure(figsize=(10,4))\n", + "\n", + "plt.subplot(121)\n", + "plt.contourf(x1, x2, z1)\n", + "plt.plot([0, 1], [0, 1], \"gs\", markersize=20)\n", + "plt.plot([0, 1], [1, 0], \"y^\", markersize=20)\n", + "plt.title(\"Activation function: heaviside\", fontsize=14)\n", + "plt.grid(True)\n", + "\n", + "plt.subplot(122)\n", + "plt.contourf(x1, x2, z2)\n", + "plt.plot([0, 1], [0, 1], \"gs\", markersize=20)\n", + "plt.plot([0, 1], [1, 0], \"y^\", markersize=20)\n", + "plt.title(\"Activation function: sigmoid\", fontsize=14)\n", + "plt.grid(True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# FNN for MNIST" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## using tf.learn" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Successfully downloaded train-images-idx3-ubyte.gz 9912422 bytes.\n", + "Extracting /tmp/data/train-images-idx3-ubyte.gz\n", + "Successfully downloaded train-labels-idx1-ubyte.gz 28881 bytes.\n", + "Extracting /tmp/data/train-labels-idx1-ubyte.gz\n", + "Successfully downloaded t10k-images-idx3-ubyte.gz 1648877 bytes.\n", + "Extracting /tmp/data/t10k-images-idx3-ubyte.gz\n", + "Successfully downloaded t10k-labels-idx1-ubyte.gz 4542 bytes.\n", + "Extracting /tmp/data/t10k-labels-idx1-ubyte.gz\n" + ] + } + ], + "source": [ + "from tensorflow.examples.tutorials.mnist import input_data\n", + "mnist = input_data.read_data_sets(\"/tmp/data/\")\n", + "X_train = mnist.train.images\n", + "X_test = mnist.test.images\n", + "y_train = mnist.train.labels.astype(\"int\")\n", + "y_test = mnist.test.labels.astype(\"int\")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:tensorflow:Using temporary folder as model directory: /var/folders/q8/bfgmsngx7t53p7g6hb5m2hlr0000gn/T/tmpjkj04vje\n", + "WARNING:tensorflow:Using default config.\n", + "WARNING:tensorflow:Setting feature info to TensorSignature(dtype=tf.float32, shape=TensorShape([Dimension(None), Dimension(784)]), is_sparse=False)\n", + "WARNING:tensorflow:Setting targets info to TensorSignature(dtype=tf.int64, shape=TensorShape([Dimension(None)]), is_sparse=False)\n" + ] + }, + { + "data": { + "text/plain": [ + "DNNClassifier(optimizer=None, feature_columns=[_RealValuedColumn(column_name='', dimension=784, default_value=None, dtype=tf.float32)], hidden_units=[300, 100], dropout=None)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import tensorflow as tf\n", + "\n", + "feature_columns = tf.contrib.learn.infer_real_valued_columns_from_input(X_train)\n", + "dnn_clf = tf.contrib.learn.DNNClassifier(hidden_units=[300, 100], n_classes=10,\n", + " feature_columns=feature_columns)\n", + "dnn_clf.fit(x=X_train, y=y_train, batch_size=50, steps=40000)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.95809999999999995" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.metrics import accuracy_score\n", + "\n", + "y_pred = dnn_clf.predict(X_test)\n", + "accuracy = accuracy_score(y_test, y_pred)\n", + "accuracy" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1.2132487784965271" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.metrics import log_loss\n", + "\n", + "y_pred_proba = dnn_clf.predict_proba(X_test)\n", + "log_loss(y_test, y_pred_proba)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:tensorflow:Given features: Tensor(\"input:0\", shape=(?, 784), dtype=float32), required signatures: TensorSignature(dtype=tf.float32, shape=TensorShape([Dimension(None), Dimension(784)]), is_sparse=False).\n", + "WARNING:tensorflow:Given targets: Tensor(\"output:0\", shape=(?,), dtype=int64), required signatures: TensorSignature(dtype=tf.int64, shape=TensorShape([Dimension(None)]), is_sparse=False).\n" + ] + }, + { + "data": { + "text/plain": [ + "{'accuracy': 0.95810002, 'global_step': 40000, 'loss': 3.9885485}" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dnn_clf.evaluate(X_test, y_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Using plain TensorFlow" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import tensorflow as tf\n", + "\n", + "def neuron_layer(X, n_neurons, name, activation=None):\n", + " with tf.name_scope(name):\n", + " n_inputs = int(X.get_shape()[1])\n", + " stddev = 1 / np.sqrt(n_inputs)\n", + " init = tf.truncated_normal((n_inputs, n_neurons), stddev=stddev)\n", + " W = tf.Variable(init, name=\"weights\")\n", + " b = tf.Variable(tf.zeros([n_neurons]), name=\"biases\")\n", + " Z = tf.matmul(X, W) + b\n", + " if activation==\"relu\":\n", + " return tf.nn.relu(Z)\n", + " else:\n", + " return Z" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_inputs = 28*28 # MNIST\n", + "n_hidden1 = 300\n", + "n_hidden2 = 100\n", + "n_outputs = 10\n", + "learning_rate = 0.01\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n_inputs), name=\"X\")\n", + "y = tf.placeholder(tf.int64, shape=(None), name=\"y\")\n", + "\n", + "with tf.name_scope(\"dnn\"):\n", + " hidden1 = neuron_layer(X, n_hidden1, \"hidden1\", activation=\"relu\")\n", + " hidden2 = neuron_layer(hidden1, n_hidden2, \"hidden2\", activation=\"relu\")\n", + " logits = neuron_layer(hidden2, n_outputs, \"output\")\n", + "\n", + "with tf.name_scope(\"loss\"):\n", + " xentropy = tf.nn.sparse_softmax_cross_entropy_with_logits(logits, y)\n", + " loss = tf.reduce_mean(xentropy, name=\"loss\")\n", + "\n", + "with tf.name_scope(\"train\"):\n", + " optimizer = tf.train.GradientDescentOptimizer(learning_rate)\n", + " training_op = optimizer.minimize(loss)\n", + "\n", + "with tf.name_scope(\"eval\"):\n", + " correct = tf.nn.in_top_k(logits, y, 1)\n", + " accuracy = tf.reduce_mean(tf.cast(correct, tf.float32))\n", + " \n", + "init = tf.initialize_all_variables()\n", + "saver = tf.train.Saver()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 Train accuracy: 0.66 Test accuracy: 0.6835\n", + "1 Train accuracy: 0.72 Test accuracy: 0.8216\n", + "2 Train accuracy: 0.92 Test accuracy: 0.8535\n", + "3 Train accuracy: 0.86 Test accuracy: 0.871\n", + "4 Train accuracy: 0.8 Test accuracy: 0.8833\n", + "5 Train accuracy: 0.9 Test accuracy: 0.8902\n", + "6 Train accuracy: 0.86 Test accuracy: 0.8948\n", + "7 Train accuracy: 0.84 Test accuracy: 0.8986\n", + "8 Train accuracy: 0.9 Test accuracy: 0.9036\n", + "9 Train accuracy: 0.86 Test accuracy: 0.9062\n", + "10 Train accuracy: 0.88 Test accuracy: 0.9098\n", + "11 Train accuracy: 0.96 Test accuracy: 0.9115\n", + "12 Train accuracy: 0.88 Test accuracy: 0.9133\n", + "13 Train accuracy: 0.92 Test accuracy: 0.9126\n", + "14 Train accuracy: 0.98 Test accuracy: 0.9154\n", + "15 Train accuracy: 0.92 Test accuracy: 0.9185\n", + "16 Train accuracy: 0.86 Test accuracy: 0.9198\n", + "17 Train accuracy: 0.94 Test accuracy: 0.9213\n", + "18 Train accuracy: 1.0 Test accuracy: 0.9214\n", + "19 Train accuracy: 0.86 Test accuracy: 0.9258\n" + ] + } + ], + "source": [ + "n_epochs = 20\n", + "batch_size = 50\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for epoch in range(n_epochs):\n", + " for iteration in range(len(mnist.test.labels)//batch_size):\n", + " X_batch, y_batch = mnist.train.next_batch(batch_size)\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + " acc_train = accuracy.eval(feed_dict={X: X_batch, y: y_batch})\n", + " acc_test = accuracy.eval(feed_dict={X: mnist.test.images, y: mnist.test.labels})\n", + " print(epoch, \"Train accuracy:\", acc_train, \"Test accuracy:\", acc_test)\n", + "\n", + " save_path = saver.save(sess, \"my_model_final.ckpt\")" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[7 2 1 0 4 1 4 9 6 9 0 6 9 0 1 5 9 7 3 4]\n", + "[7 2 1 0 4 1 4 9 5 9 0 6 9 0 1 5 9 7 3 4]\n" + ] + } + ], + "source": [ + "with tf.Session() as sess:\n", + " saver.restore(sess, \"my_model_final.ckpt\")\n", + " X_new_scaled = mnist.test.images[:20]\n", + " Z = logits.eval(feed_dict={X: X_new_scaled})\n", + " print(np.argmax(Z, axis=1))\n", + " print(mnist.test.labels[:20])" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from IPython.display import clear_output, Image, display, HTML\n", + "\n", + "def strip_consts(graph_def, max_const_size=32):\n", + " \"\"\"Strip large constant values from graph_def.\"\"\"\n", + " strip_def = tf.GraphDef()\n", + " for n0 in graph_def.node:\n", + " n = strip_def.node.add() \n", + " n.MergeFrom(n0)\n", + " if n.op == 'Const':\n", + " tensor = n.attr['value'].tensor\n", + " size = len(tensor.tensor_content)\n", + " if size > max_const_size:\n", + " tensor.tensor_content = b\"\"%size\n", + " return strip_def\n", + "\n", + "def show_graph(graph_def, max_const_size=32):\n", + " \"\"\"Visualize TensorFlow graph.\"\"\"\n", + " if hasattr(graph_def, 'as_graph_def'):\n", + " graph_def = graph_def.as_graph_def()\n", + " strip_def = strip_consts(graph_def, max_const_size=max_const_size)\n", + " code = \"\"\"\n", + " \n", + " \n", + "
\n", + " \n", + "
\n", + " \"\"\".format(data=repr(str(strip_def)), id='graph'+str(np.random.rand()))\n", + "\n", + " iframe = \"\"\"\n", + " \n", + " \"\"\".format(code.replace('\"', '"'))\n", + " display(HTML(iframe))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_graph(tf.get_default_graph())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using `fully_connected` instead of `neuron_layer()`" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "from tensorflow.contrib.layers import fully_connected\n", + "\n", + "n_inputs = 28*28 # MNIST\n", + "n_hidden1 = 300\n", + "n_hidden2 = 100\n", + "n_outputs = 10\n", + "learning_rate = 0.01\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n_inputs), name=\"X\")\n", + "y = tf.placeholder(tf.int64, shape=(None), name=\"y\")\n", + "\n", + "with tf.name_scope(\"dnn\"):\n", + " hidden1 = fully_connected(X, n_hidden1, scope=\"hidden1\")\n", + " hidden2 = fully_connected(hidden1, n_hidden2, scope=\"hidden2\")\n", + " logits = fully_connected(hidden2, n_outputs, activation_fn=None, scope=\"outputs\")\n", + "\n", + "with tf.name_scope(\"loss\"):\n", + " xentropy = tf.nn.sparse_softmax_cross_entropy_with_logits(logits, y)\n", + " loss = tf.reduce_mean(xentropy, name=\"loss\")\n", + "\n", + "with tf.name_scope(\"train\"):\n", + " optimizer = tf.train.GradientDescentOptimizer(learning_rate)\n", + " training_op = optimizer.minimize(loss)\n", + "\n", + "with tf.name_scope(\"eval\"):\n", + " correct = tf.nn.in_top_k(logits, y, 1)\n", + " accuracy = tf.reduce_mean(tf.cast(correct, tf.float32))\n", + " \n", + "init = tf.initialize_all_variables()\n", + "saver = tf.train.Saver()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 Train accuracy: 0.8 Test accuracy: 0.7944\n", + "1 Train accuracy: 0.88 Test accuracy: 0.8531\n", + "2 Train accuracy: 0.82 Test accuracy: 0.8839\n", + "3 Train accuracy: 0.8 Test accuracy: 0.8931\n", + "4 Train accuracy: 0.84 Test accuracy: 0.9011\n", + "5 Train accuracy: 0.88 Test accuracy: 0.9051\n", + "6 Train accuracy: 0.9 Test accuracy: 0.9103\n", + "7 Train accuracy: 0.96 Test accuracy: 0.9146\n", + "8 Train accuracy: 0.92 Test accuracy: 0.9179\n", + "9 Train accuracy: 0.9 Test accuracy: 0.9215\n", + "10 Train accuracy: 0.9 Test accuracy: 0.9213\n", + "11 Train accuracy: 0.94 Test accuracy: 0.9233\n", + "12 Train accuracy: 0.94 Test accuracy: 0.9269\n", + "13 Train accuracy: 0.96 Test accuracy: 0.9265\n", + "14 Train accuracy: 0.92 Test accuracy: 0.9305\n", + "15 Train accuracy: 0.98 Test accuracy: 0.929\n", + "16 Train accuracy: 0.98 Test accuracy: 0.9325\n", + "17 Train accuracy: 0.94 Test accuracy: 0.9341\n", + "18 Train accuracy: 0.96 Test accuracy: 0.9331\n", + "19 Train accuracy: 0.94 Test accuracy: 0.9342\n" + ] + } + ], + "source": [ + "n_epochs = 20\n", + "n_batches = 50\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for epoch in range(n_epochs):\n", + " for iteration in range(len(mnist.test.labels)//batch_size):\n", + " X_batch, y_batch = mnist.train.next_batch(batch_size)\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + " acc_train = accuracy.eval(feed_dict={X: X_batch, y: y_batch})\n", + " acc_test = accuracy.eval(feed_dict={X: mnist.test.images, y: mnist.test.labels})\n", + " print(epoch, \"Train accuracy:\", acc_train, \"Test accuracy:\", acc_test)\n", + "\n", + " save_path = saver.save(sess, \"my_model_final.ckpt\")" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_graph(tf.get_default_graph())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Exercise solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Coming soon**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + }, + "nav_menu": { + "height": "264px", + "width": "369px" + }, + "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, + "toc_cell": false, + "toc_section_display": "block", + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/11_deep_learning.ipynb b/11_deep_learning.ipynb new file mode 100644 index 000000000..2907f7929 --- /dev/null +++ b/11_deep_learning.ipynb @@ -0,0 +1,1311 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Chapter 11 – Deep Learning**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_This notebook contains all the sample code and solutions to the exercices in chapter 11._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# To support both python 2 and python 3\n", + "from __future__ import division, print_function, unicode_literals\n", + "\n", + "# Common imports\n", + "import numpy as np\n", + "import numpy.random as rnd\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "rnd.seed(42)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "\n", + "# Where to save the figures\n", + "PROJECT_ROOT_DIR = \".\"\n", + "CHAPTER_ID = \"deep\"\n", + "\n", + "def save_fig(fig_id, tight_layout=True):\n", + " path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n", + " print(\"Saving figure\", fig_id)\n", + " if tight_layout:\n", + " plt.tight_layout()\n", + " plt.savefig(path, format='png', dpi=300)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Activation functions" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def logit(z):\n", + " return 1 / (1 + np.exp(-z))" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure sigmoid_saturation_plot\n" + ] + }, + { + "data": { + "image/png": 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dm/LlyxMfH0+zZs1YsmRJwM9xxYoVdOjQgdNOO40yZcrQsWNHfvvt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\nB6nqEf62Hbe0AAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "z = np.linspace(-5, 5, 200)\n", + "\n", + "plt.plot([-5, 5], [0, 0], 'k-')\n", + "plt.plot([-5, 5], [1, 1], 'k--')\n", + "plt.plot([0, 0], [-0.2, 1.2], 'k-')\n", + "plt.plot([-5, 5], [-3/4, 7/4], 'g--')\n", + "plt.plot(z, logit(z), \"b-\", linewidth=2)\n", + "props = dict(facecolor='black', shrink=0.1)\n", + "plt.annotate('Saturating', xytext=(3.5, 0.7), xy=(5, 1), arrowprops=props, fontsize=14, ha=\"center\")\n", + "plt.annotate('Saturating', xytext=(-3.5, 0.3), xy=(-5, 0), arrowprops=props, fontsize=14, ha=\"center\")\n", + "plt.annotate('Linear', xytext=(2, 0.2), xy=(0, 0.5), arrowprops=props, fontsize=14, ha=\"center\")\n", + "plt.grid(True)\n", + "plt.title(\"Sigmoid activation function\", fontsize=14)\n", + "plt.axis([-5, 5, -0.2, 1.2])\n", + "\n", + "save_fig(\"sigmoid_saturation_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def leaky_relu(z, alpha=0.01):\n", + " return np.maximum(alpha*z, z)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure leaky_relu_plot\n" + ] + }, + { + "data": { + "image/png": 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lxGKx3QbCFRQU1Dpz6tChQ7Uf2g/tR5L3Y968eWmxH+mSj0zdj/HjJ3H22bB5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\nc+fOrFy5klNPPZWrr76a8vJyrr766mB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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(z, leaky_relu(z, 0.05), \"b-\", linewidth=2)\n", + "plt.plot([-5, 5], [0, 0], 'k-')\n", + "plt.plot([0, 0], [-0.5, 4.2], 'k-')\n", + "plt.grid(True)\n", + "props = dict(facecolor='black', shrink=0.1)\n", + "plt.annotate('Leak', xytext=(-3.5, 0.5), xy=(-5, -0.2), arrowprops=props, fontsize=14, ha=\"center\")\n", + "plt.title(\"Leaky ReLU activation function\", fontsize=14)\n", + "plt.axis([-5, 5, -0.5, 4.2])\n", + "\n", + "save_fig(\"leaky_relu_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def elu(z, alpha=1):\n", + " return np.where(z<0, alpha*(np.exp(z)-1), z)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure elu_plot\n" + ] + }, + { + "data": { + "image/png": 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Nb7zh23vs4edt6tIlbFwiSaHCKZBMJhM6BIlA+ZJisHo1nHKKH9sEsMMOfoLL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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(z, elu(z), \"b-\", linewidth=2)\n", + "plt.plot([-5, 5], [0, 0], 'k-')\n", + "plt.plot([-5, 5], [-1, -1], 'k--')\n", + "plt.plot([0, 0], [-2.2, 3.2], 'k-')\n", + "plt.grid(True)\n", + "props = dict(facecolor='black', shrink=0.1)\n", + "plt.title(r\"ELU activation function ($\\alpha=1$)\", fontsize=14)\n", + "plt.axis([-5, 5, -2.2, 3.2])\n", + "\n", + "save_fig(\"elu_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Extracting /tmp/data/train-images-idx3-ubyte.gz\n", + "Extracting /tmp/data/train-labels-idx1-ubyte.gz\n", + "Extracting /tmp/data/t10k-images-idx3-ubyte.gz\n", + "Extracting /tmp/data/t10k-labels-idx1-ubyte.gz\n" + ] + } + ], + "source": [ + "from tensorflow.examples.tutorials.mnist import input_data\n", + "mnist = input_data.read_data_sets(\"/tmp/data/\")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def leaky_relu(z, name=None):\n", + " return tf.maximum(0.01 * z, z, name=name)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import tensorflow as tf" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from IPython.display import clear_output, Image, display, HTML\n", + "\n", + "def strip_consts(graph_def, max_const_size=32):\n", + " \"\"\"Strip large constant values from graph_def.\"\"\"\n", + " strip_def = tf.GraphDef()\n", + " for n0 in graph_def.node:\n", + " n = strip_def.node.add() \n", + " n.MergeFrom(n0)\n", + " if n.op == 'Const':\n", + " tensor = n.attr['value'].tensor\n", + " size = len(tensor.tensor_content)\n", + " if size > max_const_size:\n", + " tensor.tensor_content = b\"\"%size\n", + " return strip_def\n", + "\n", + "def show_graph(graph_def, max_const_size=32):\n", + " \"\"\"Visualize TensorFlow graph.\"\"\"\n", + " if hasattr(graph_def, 'as_graph_def'):\n", + " graph_def = graph_def.as_graph_def()\n", + " strip_def = strip_consts(graph_def, max_const_size=max_const_size)\n", + " code = \"\"\"\n", + " \n", + " \n", + "
\n", + " \n", + "
\n", + " \"\"\".format(data=repr(str(strip_def)), id='graph'+str(np.random.rand()))\n", + "\n", + " iframe = \"\"\"\n", + " \n", + " \"\"\".format(code.replace('\"', '"'))\n", + " display(HTML(iframe))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from tensorflow.contrib.layers import fully_connected\n", + "\n", + "tf.reset_default_graph()\n", + "\n", + "n_inputs = 28*28 # MNIST\n", + "n_hidden1 = 300\n", + "n_hidden2 = 100\n", + "n_outputs = 10\n", + "learning_rate = 0.01\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n_inputs), name=\"X\")\n", + "y = tf.placeholder(tf.int64, shape=(None), name=\"y\")\n", + "\n", + "with tf.name_scope(\"dnn\"):\n", + " hidden1 = fully_connected(X, n_hidden1, activation_fn=leaky_relu, scope=\"hidden1\")\n", + " hidden2 = fully_connected(hidden1, n_hidden2, activation_fn=leaky_relu, scope=\"hidden2\")\n", + " logits = fully_connected(hidden2, n_outputs, activation_fn=None, scope=\"outputs\")\n", + "\n", + "with tf.name_scope(\"loss\"):\n", + " xentropy = tf.nn.sparse_softmax_cross_entropy_with_logits(logits, y)\n", + " loss = tf.reduce_mean(xentropy, name=\"loss\")\n", + "\n", + "with tf.name_scope(\"train\"):\n", + " optimizer = tf.train.GradientDescentOptimizer(learning_rate)\n", + " training_op = optimizer.minimize(loss)\n", + "\n", + "with tf.name_scope(\"eval\"):\n", + " correct = tf.nn.in_top_k(logits, y, 1)\n", + " accuracy = tf.reduce_mean(tf.cast(correct, tf.float32))\n", + " \n", + "init = tf.initialize_all_variables()\n", + "saver = tf.train.Saver()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 Train accuracy: 0.73 Test accuracy: 0.7016\n", + "1 Train accuracy: 0.74 Test accuracy: 0.8077\n", + "2 Train accuracy: 0.85 Test accuracy: 0.8429\n", + "3 Train accuracy: 0.85 Test accuracy: 0.8627\n", + "4 Train accuracy: 0.75 Test accuracy: 0.8717\n", + "5 Train accuracy: 0.9 Test accuracy: 0.884\n", + "6 Train accuracy: 0.86 Test accuracy: 0.8888\n", + "7 Train accuracy: 0.88 Test accuracy: 0.8921\n", + "8 Train accuracy: 0.91 Test accuracy: 0.8943\n", + "9 Train accuracy: 0.91 Test accuracy: 0.8993\n", + "10 Train accuracy: 0.91 Test accuracy: 0.903\n", + "11 Train accuracy: 0.88 Test accuracy: 0.9041\n", + "12 Train accuracy: 0.92 Test accuracy: 0.9067\n", + "13 Train accuracy: 0.88 Test accuracy: 0.9086\n", + "14 Train accuracy: 0.95 Test accuracy: 0.9122\n", + "15 Train accuracy: 0.92 Test accuracy: 0.9117\n", + "16 Train accuracy: 0.89 Test accuracy: 0.9152\n", + "17 Train accuracy: 0.95 Test accuracy: 0.9165\n", + "18 Train accuracy: 0.96 Test accuracy: 0.9178\n", + "19 Train accuracy: 0.9 Test accuracy: 0.9191\n" + ] + } + ], + "source": [ + "n_epochs = 20\n", + "batch_size = 100\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for epoch in range(n_epochs):\n", + " for iteration in range(len(mnist.test.labels)//batch_size):\n", + " X_batch, y_batch = mnist.train.next_batch(batch_size)\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + " acc_train = accuracy.eval(feed_dict={X: X_batch, y: y_batch})\n", + " acc_test = accuracy.eval(feed_dict={X: mnist.test.images, y: mnist.test.labels})\n", + " print(epoch, \"Train accuracy:\", acc_train, \"Test accuracy:\", acc_test)\n", + "\n", + " save_path = saver.save(sess, \"my_model_final.ckpt\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Batch Normalization" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from tensorflow.contrib.layers import fully_connected, batch_norm\n", + "from tensorflow.contrib.framework import arg_scope\n", + "\n", + "tf.reset_default_graph()\n", + "\n", + "n_inputs = 28 * 28 # MNIST\n", + "n_hidden1 = 300\n", + "n_hidden2 = 100\n", + "n_outputs = 10\n", + "learning_rate = 0.01\n", + "momentum = 0.25\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n_inputs), name=\"X\")\n", + "y = tf.placeholder(tf.int64, shape=(None), name=\"y\")\n", + "is_training = tf.placeholder(tf.bool, shape=(), name='is_training')\n", + "\n", + "with tf.name_scope(\"dnn\"):\n", + " he_init = tf.contrib.layers.variance_scaling_initializer()\n", + " batch_norm_params = {\n", + " 'is_training': is_training,\n", + " 'decay': 0.9,\n", + " 'updates_collections': None,\n", + " 'scale': True,\n", + " }\n", + "\n", + " with arg_scope(\n", + " [fully_connected],\n", + " activation_fn=tf.nn.elu,\n", + " weights_initializer=he_init,\n", + " normalizer_fn=batch_norm,\n", + " normalizer_params=batch_norm_params):\n", + " hidden1 = fully_connected(X, n_hidden1, scope=\"hidden1\")\n", + " hidden2 = fully_connected(hidden1, n_hidden2, scope=\"hidden2\")\n", + " logits = fully_connected(hidden2, n_outputs, activation_fn=None, scope=\"outputs\")\n", + "\n", + "with tf.name_scope(\"loss\"):\n", + " xentropy = tf.nn.sparse_softmax_cross_entropy_with_logits(logits, y)\n", + " loss = tf.reduce_mean(xentropy, name=\"loss\")\n", + "\n", + "with tf.name_scope(\"train\"):\n", + " optimizer = tf.train.MomentumOptimizer(learning_rate, momentum)\n", + " training_op = optimizer.minimize(loss)\n", + "\n", + "with tf.name_scope(\"eval\"):\n", + " correct = tf.nn.in_top_k(logits, y, 1)\n", + " accuracy = tf.reduce_mean(tf.cast(correct, tf.float32))\n", + " \n", + "init = tf.initialize_all_variables()\n", + "saver = tf.train.Saver()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 Train accuracy: 0.96 Test accuracy: 0.8645\n", + "1 Train accuracy: 0.88 Test accuracy: 0.8946\n", + "2 Train accuracy: 0.92 Test accuracy: 0.9077\n", + "3 Train accuracy: 0.86 Test accuracy: 0.9146\n", + "4 Train accuracy: 0.9 Test accuracy: 0.922\n", + "5 Train accuracy: 0.88 Test accuracy: 0.9285\n", + "6 Train accuracy: 0.9 Test accuracy: 0.9319\n", + "7 Train accuracy: 0.98 Test accuracy: 0.9346\n", + "8 Train accuracy: 0.98 Test accuracy: 0.9406\n", + "9 Train accuracy: 0.94 Test accuracy: 0.9445\n", + "10 Train accuracy: 0.96 Test accuracy: 0.9454\n", + "11 Train accuracy: 1.0 Test accuracy: 0.948\n", + "12 Train accuracy: 0.92 Test accuracy: 0.95\n", + "13 Train accuracy: 0.98 Test accuracy: 0.9542\n", + "14 Train accuracy: 1.0 Test accuracy: 0.9533\n", + "15 Train accuracy: 1.0 Test accuracy: 0.9567\n", + "16 Train accuracy: 0.94 Test accuracy: 0.9571\n", + "17 Train accuracy: 0.98 Test accuracy: 0.9598\n", + "18 Train accuracy: 0.98 Test accuracy: 0.9572\n", + "19 Train accuracy: 0.98 Test accuracy: 0.9605\n" + ] + } + ], + "source": [ + "n_epochs = 20\n", + "batch_size = 50\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for epoch in range(n_epochs):\n", + " for iteration in range(len(mnist.test.labels)//batch_size):\n", + " X_batch, y_batch = mnist.train.next_batch(batch_size)\n", + " sess.run(training_op, feed_dict={is_training: True, X: X_batch, y: y_batch})\n", + " acc_train = accuracy.eval(feed_dict={is_training: False, X: X_batch, y: y_batch})\n", + " acc_test = accuracy.eval(feed_dict={is_training: False, X: mnist.test.images, y: mnist.test.labels})\n", + " print(epoch, \"Train accuracy:\", acc_train, \"Test accuracy:\", acc_test)\n", + "\n", + " save_path = saver.save(sess, \"my_model_final.ckpt\")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n_inputs), name=\"X\")\n", + "y = tf.placeholder(tf.int64, shape=(None), name=\"y\")\n", + "is_training = tf.placeholder(tf.bool, shape=(), name='is_training')\n", + "\n", + "with tf.name_scope(\"dnn\"):\n", + " he_init = tf.contrib.layers.variance_scaling_initializer()\n", + " batch_norm_params = {\n", + " 'is_training': is_training,\n", + " 'decay': 0.9,\n", + " 'updates_collections': None,\n", + " 'scale': True,\n", + " }\n", + "\n", + " with arg_scope(\n", + " [fully_connected],\n", + " activation_fn=tf.nn.elu,\n", + " weights_initializer=he_init,\n", + " normalizer_fn=batch_norm,\n", + " normalizer_params=batch_norm_params,\n", + " weights_regularizer=tf.contrib.layers.l1_regularizer(0.01)):\n", + " hidden1 = fully_connected(X, n_hidden1, scope=\"hidden1\")\n", + " hidden2 = fully_connected(hidden1, n_hidden2, scope=\"hidden2\")\n", + " logits = fully_connected(hidden2, n_outputs, activation_fn=None, scope=\"outputs\")\n", + "\n", + "with tf.name_scope(\"loss\"):\n", + " xentropy = tf.nn.sparse_softmax_cross_entropy_with_logits(logits, y)\n", + " reg_losses = tf.get_collection(tf.GraphKeys.REGULARIZATION_LOSSES)\n", + " base_loss = tf.reduce_mean(xentropy, name=\"base_loss\")\n", + " loss = tf.add(base_loss, reg_losses, name=\"loss\")\n", + "\n", + "with tf.name_scope(\"train\"):\n", + " optimizer = tf.train.MomentumOptimizer(learning_rate, momentum)\n", + " training_op = optimizer.minimize(loss)\n", + "\n", + "with tf.name_scope(\"eval\"):\n", + " correct = tf.nn.in_top_k(logits, y, 1)\n", + " accuracy = tf.reduce_mean(tf.cast(correct, tf.float32))\n", + " \n", + "init = tf.initialize_all_variables()\n", + "saver = tf.train.Saver()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 Train accuracy: 0.98 Test accuracy: 0.8991\n", + "1 Train accuracy: 0.98 Test accuracy: 0.8976\n", + "2 Train accuracy: 0.98 Test accuracy: 0.8819\n", + "3 Train accuracy: 1.0 Test accuracy: 0.8744\n", + "4 Train accuracy: 1.0 Test accuracy: 0.8191\n", + "5 Train accuracy: 0.94 Test accuracy: 0.8729\n", + "6 Train accuracy: 1.0 Test accuracy: 0.8558\n", + "7 Train accuracy: 1.0 Test accuracy: 0.8851\n", + "8 Train accuracy: 0.96 Test accuracy: 0.8758\n", + "9 Train accuracy: 0.98 Test accuracy: 0.8365\n", + "10 Train accuracy: 0.98 Test accuracy: 0.8692\n", + "11 Train accuracy: 0.96 Test accuracy: 0.8914\n", + "12 Train accuracy: 0.98 Test accuracy: 0.8774\n", + "13 Train accuracy: 0.98 Test accuracy: 0.9013\n", + "14 Train accuracy: 0.98 Test accuracy: 0.8734\n", + "15 Train accuracy: 0.9 Test accuracy: 0.876\n", + "16 Train accuracy: 0.98 Test accuracy: 0.9113\n", + "17 Train accuracy: 0.96 Test accuracy: 0.893\n", + "18 Train accuracy: 1.0 Test accuracy: 0.8914\n", + "19 Train accuracy: 1.0 Test accuracy: 0.9101\n" + ] + } + ], + "source": [ + "n_epochs = 20\n", + "batch_size = 50\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for epoch in range(n_epochs):\n", + " for iteration in range(len(mnist.test.labels)//batch_size):\n", + " X_batch, y_batch = mnist.train.next_batch(batch_size)\n", + " sess.run(training_op, feed_dict={is_training: True, X: X_batch, y: y_batch})\n", + " acc_train = accuracy.eval(feed_dict={is_training: False, X: X_batch, y: y_batch})\n", + " acc_test = accuracy.eval(feed_dict={is_training: False, X: mnist.test.images, y: mnist.test.labels})\n", + " print(epoch, \"Train accuracy:\", acc_train, \"Test accuracy:\", acc_test)\n", + "\n", + " save_path = saver.save(sess, \"my_model_final.ckpt\")" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['hidden1/weights:0',\n", + " 'hidden1/BatchNorm/beta:0',\n", + " 'hidden1/BatchNorm/gamma:0',\n", + " 'hidden1/BatchNorm/moving_mean:0',\n", + " 'hidden1/BatchNorm/moving_variance:0',\n", + " 'hidden2/weights:0',\n", + " 'hidden2/BatchNorm/beta:0',\n", + " 'hidden2/BatchNorm/gamma:0',\n", + " 'hidden2/BatchNorm/moving_mean:0',\n", + " 'hidden2/BatchNorm/moving_variance:0',\n", + " 'outputs/weights:0',\n", + " 'outputs/BatchNorm/beta:0',\n", + " 'outputs/BatchNorm/gamma:0',\n", + " 'outputs/BatchNorm/moving_mean:0',\n", + " 'outputs/BatchNorm/moving_variance:0',\n", + " 'train/hidden1/weights/Momentum:0',\n", + " 'train/hidden1/BatchNorm/beta/Momentum:0',\n", + " 'train/hidden1/BatchNorm/gamma/Momentum:0',\n", + " 'train/hidden2/weights/Momentum:0',\n", + " 'train/hidden2/BatchNorm/beta/Momentum:0',\n", + " 'train/hidden2/BatchNorm/gamma/Momentum:0',\n", + " 'train/outputs/weights/Momentum:0',\n", + " 'train/outputs/BatchNorm/beta/Momentum:0',\n", + " 'train/outputs/BatchNorm/gamma/Momentum:0']" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[v.name for v in tf.all_variables()]" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "with tf.variable_scope(\"\", reuse=True):\n", + " weights1 = tf.get_variable(\"hidden1/weights\")\n", + " weights2 = tf.get_variable(\"hidden2/weights\")\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0. 0.]\n", + " [ 3. 4.]\n", + " [ 30. 40.]\n", + " [ 300. 400.]]\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "x = tf.constant([0., 0., 3., 4., 30., 40., 300., 400.], shape=(4, 2))\n", + "c = tf.clip_by_norm(x, clip_norm=10)\n", + "c0 = tf.clip_by_norm(x, clip_norm=350, axes=0)\n", + "c1 = tf.clip_by_norm(x, clip_norm=10, axes=1)\n", + "\n", + "with tf.Session() as sess:\n", + " xv = x.eval()\n", + " cv = c.eval()\n", + " c0v = c0.eval()\n", + " c1v = c1.eval()\n", + "\n", + "print(xv)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0. 0. ]\n", + " [ 0.05969927 0.07959903]\n", + " [ 0.59699273 0.79599035]\n", + " [ 5.96992731 7.95990324]]\n" + ] + } + ], + "source": [ + "print(cv)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10.0\n" + ] + } + ], + "source": [ + "print(np.linalg.norm(cv))" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0. 0. ]\n", + " [ 3. 3.48245788]\n", + " [ 30. 34.82457733]\n", + " [ 300. 348.24578857]]\n" + ] + } + ], + "source": [ + "print(c0v)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 301.51119995 350. ]\n" + ] + } + ], + "source": [ + "print(np.linalg.norm(c0v, axis=0))" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0. 0. ]\n", + " [ 3. 4. ]\n", + " [ 6. 8. ]\n", + " [ 6.00000048 8. ]]\n" + ] + } + ], + "source": [ + "print(c1v)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0. 5. 10. 10.]\n" + ] + } + ], + "source": [ + "print(np.linalg.norm(c1v, axis=1))" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n_inputs), name=\"X\")\n", + "y = tf.placeholder(tf.int64, shape=(None), name=\"y\")\n", + "is_training = tf.placeholder(tf.bool, shape=(), name='is_training')\n", + "\n", + "def max_norm_regularizer(threshold, axes=1, name=\"max_norm\", collection=\"max_norm\"):\n", + " def max_norm(weights):\n", + " clip_weights = tf.assign(weights, tf.clip_by_norm(weights, clip_norm=threshold, axes=axes), name=name)\n", + " tf.add_to_collection(collection, clip_weights)\n", + " return None # there is no regularization loss term\n", + " return max_norm\n", + "\n", + "with tf.name_scope(\"dnn\"):\n", + " with arg_scope(\n", + " [fully_connected],\n", + " weights_regularizer=max_norm_regularizer(1.5)):\n", + " hidden1 = fully_connected(X, n_hidden1, scope=\"hidden1\")\n", + " hidden2 = fully_connected(hidden1, n_hidden2, scope=\"hidden2\")\n", + " logits = fully_connected(hidden2, n_outputs, activation_fn=None, scope=\"outputs\")\n", + "\n", + "clip_all_weights = tf.get_collection(\"max_norm\")\n", + " \n", + "with tf.name_scope(\"loss\"):\n", + " xentropy = tf.nn.sparse_softmax_cross_entropy_with_logits(logits, y)\n", + " loss = tf.reduce_mean(xentropy, name=\"loss\")\n", + "\n", + "with tf.name_scope(\"train\"):\n", + " optimizer = tf.train.MomentumOptimizer(learning_rate, momentum)\n", + " threshold = 1.0\n", + " grads_and_vars = optimizer.compute_gradients(loss)\n", + " capped_gvs = [(tf.clip_by_value(grad, -threshold, threshold), var)\n", + " for grad, var in grads_and_vars]\n", + " training_op = optimizer.apply_gradients(capped_gvs)\n", + "\n", + "with tf.name_scope(\"eval\"):\n", + " correct = tf.nn.in_top_k(logits, y, 1)\n", + " accuracy = tf.reduce_mean(tf.cast(correct, tf.float32))\n", + " \n", + "init = tf.initialize_all_variables()\n", + "saver = tf.train.Saver()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 Train accuracy: 0.88 Test accuracy: 0.8366\n", + "1 Train accuracy: 0.9 Test accuracy: 0.8767\n", + "2 Train accuracy: 0.9 Test accuracy: 0.8899\n", + "3 Train accuracy: 0.88 Test accuracy: 0.9006\n", + "4 Train accuracy: 0.92 Test accuracy: 0.9065\n", + "5 Train accuracy: 0.94 Test accuracy: 0.9083\n", + "6 Train accuracy: 0.88 Test accuracy: 0.9163\n", + "7 Train accuracy: 0.9 Test accuracy: 0.9173\n", + "8 Train accuracy: 0.86 Test accuracy: 0.9198\n", + "9 Train accuracy: 0.92 Test accuracy: 0.9235\n", + "10 Train accuracy: 0.92 Test accuracy: 0.9276\n", + "11 Train accuracy: 0.94 Test accuracy: 0.9291\n", + "12 Train accuracy: 1.0 Test accuracy: 0.9313\n", + "13 Train accuracy: 0.98 Test accuracy: 0.9294\n", + "14 Train accuracy: 0.92 Test accuracy: 0.9333\n", + "15 Train accuracy: 0.96 Test accuracy: 0.9371\n", + "16 Train accuracy: 0.96 Test accuracy: 0.9353\n", + "17 Train accuracy: 0.9 Test accuracy: 0.9368\n", + "18 Train accuracy: 0.94 Test accuracy: 0.9394\n", + "19 Train accuracy: 0.96 Test accuracy: 0.9417\n" + ] + } + ], + "source": [ + "n_epochs = 20\n", + "batch_size = 50\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for epoch in range(n_epochs):\n", + " for iteration in range(len(mnist.test.labels)//batch_size):\n", + " X_batch, y_batch = mnist.train.next_batch(batch_size)\n", + " sess.run(training_op, feed_dict={is_training: True, X: X_batch, y: y_batch})\n", + " acc_train = accuracy.eval(feed_dict={is_training: False, X: X_batch, y: y_batch})\n", + " acc_test = accuracy.eval(feed_dict={is_training: False, X: mnist.test.images, y: mnist.test.labels})\n", + " print(epoch, \"Train accuracy:\", acc_train, \"Test accuracy:\", acc_test)\n", + "\n", + " save_path = saver.save(sess, \"my_model_final.ckpt\")" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_graph(tf.get_default_graph())" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from tensorflow.contrib.layers import dropout\n", + "\n", + "tf.reset_default_graph()\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, n_inputs), name=\"X\")\n", + "y = tf.placeholder(tf.int64, shape=(None), name=\"y\")\n", + "is_training = tf.placeholder(tf.bool, shape=(), name='is_training')\n", + "\n", + "initial_learning_rate = 0.1\n", + "decay_steps = 10000\n", + "decay_rate = 1/10\n", + "global_step = tf.Variable(0, trainable=False)\n", + "learning_rate = tf.train.exponential_decay(initial_learning_rate, global_step,\n", + " decay_steps, decay_rate)\n", + "\n", + "keep_prob = 0.5\n", + "\n", + "with tf.name_scope(\"dnn\"):\n", + " he_init = tf.contrib.layers.variance_scaling_initializer()\n", + " with arg_scope(\n", + " [fully_connected],\n", + " activation_fn=tf.nn.elu,\n", + " weights_initializer=he_init):\n", + " X_drop = dropout(X, keep_prob, is_training=is_training)\n", + " hidden1 = fully_connected(X_drop, n_hidden1, scope=\"hidden1\")\n", + " hidden1_drop = dropout(hidden1, keep_prob, is_training=is_training)\n", + " hidden2 = fully_connected(hidden1_drop, n_hidden2, scope=\"hidden2\")\n", + " hidden2_drop = dropout(hidden2, keep_prob, is_training=is_training)\n", + " logits = fully_connected(hidden2_drop, n_outputs, activation_fn=None, scope=\"outputs\")\n", + "\n", + "with tf.name_scope(\"loss\"):\n", + " xentropy = tf.nn.sparse_softmax_cross_entropy_with_logits(logits, y)\n", + " loss = tf.reduce_mean(xentropy, name=\"loss\")\n", + "\n", + "with tf.name_scope(\"train\"):\n", + " optimizer = tf.train.MomentumOptimizer(learning_rate, momentum)\n", + " training_op = optimizer.minimize(loss, global_step=global_step) \n", + "\n", + "with tf.name_scope(\"eval\"):\n", + " correct = tf.nn.in_top_k(logits, y, 1)\n", + " accuracy = tf.reduce_mean(tf.cast(correct, tf.float32))\n", + " \n", + "init = tf.initialize_all_variables()\n", + "saver = tf.train.Saver()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 Train accuracy: 0.92 Test accuracy: 0.8694\n", + "1 Train accuracy: 0.96 Test accuracy: 0.8917\n", + "2 Train accuracy: 0.88 Test accuracy: 0.9057\n", + "3 Train accuracy: 0.92 Test accuracy: 0.9078\n", + "4 Train accuracy: 0.84 Test accuracy: 0.917\n", + "5 Train accuracy: 0.9 Test accuracy: 0.9185\n", + "6 Train accuracy: 0.98 Test accuracy: 0.9203\n", + "7 Train accuracy: 0.94 Test accuracy: 0.9261\n", + "8 Train accuracy: 0.9 Test accuracy: 0.9261\n", + "9 Train accuracy: 0.96 Test accuracy: 0.9266\n", + "10 Train accuracy: 0.88 Test accuracy: 0.9276\n", + "11 Train accuracy: 0.96 Test accuracy: 0.9269\n", + "12 Train accuracy: 0.92 Test accuracy: 0.9329\n", + "13 Train accuracy: 0.92 Test accuracy: 0.9325\n", + "14 Train accuracy: 0.92 Test accuracy: 0.933\n", + "15 Train accuracy: 0.98 Test accuracy: 0.9316\n", + "16 Train accuracy: 0.96 Test accuracy: 0.9396\n", + "17 Train accuracy: 0.94 Test accuracy: 0.9351\n", + "18 Train accuracy: 0.9 Test accuracy: 0.9369\n", + "19 Train accuracy: 0.94 Test accuracy: 0.9402\n" + ] + } + ], + "source": [ + "n_epochs = 20\n", + "batch_size = 50\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for epoch in range(n_epochs):\n", + " for iteration in range(len(mnist.test.labels)//batch_size):\n", + " X_batch, y_batch = mnist.train.next_batch(batch_size)\n", + " sess.run(training_op, feed_dict={is_training: True, X: X_batch, y: y_batch})\n", + " acc_train = accuracy.eval(feed_dict={is_training: False, X: X_batch, y: y_batch})\n", + " acc_test = accuracy.eval(feed_dict={is_training: False, X: mnist.test.images, y: mnist.test.labels})\n", + " print(epoch, \"Train accuracy:\", acc_train, \"Test accuracy:\", acc_test)\n", + "\n", + " save_path = saver.save(sess, \"my_model_final.ckpt\")" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "train_vars = tf.get_collection(tf.GraphKeys.TRAINABLE_VARIABLES,\n", + " scope=\"hidden[2]|outputs\")" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "training_op2 = optimizer.minimize(loss, var_list=train_vars)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Variable:0\n", + "hidden1/weights:0\n", + "hidden1/biases:0\n", + "hidden2/weights:0\n", + "hidden2/biases:0\n", + "outputs/weights:0\n", + "outputs/biases:0\n", + "train/hidden1/weights/Momentum:0\n", + "train/hidden1/biases/Momentum:0\n", + "train/hidden2/weights/Momentum:0\n", + "train/hidden2/biases/Momentum:0\n", + "train/outputs/weights/Momentum:0\n", + "train/outputs/biases/Momentum:0\n" + ] + } + ], + "source": [ + "for i in tf.all_variables():\n", + " print(i.name)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "hidden1/weights:0\n", + "hidden1/biases:0\n", + "hidden2/weights:0\n", + "hidden2/biases:0\n", + "outputs/weights:0\n", + "outputs/biases:0\n" + ] + } + ], + "source": [ + "for i in tf.get_collection(tf.GraphKeys.TRAINABLE_VARIABLES):\n", + " print(i.name)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "hidden2/weights:0\n", + "hidden2/biases:0\n", + "outputs/weights:0\n", + "outputs/biases:0\n" + ] + } + ], + "source": [ + "for i in train_vars:\n", + " print(i.name)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:tensorflow:Setting feature info to TensorSignature(dtype=tf.float32, shape=TensorShape([Dimension(None), Dimension(784)]), is_sparse=False)\n", + "WARNING:tensorflow:Setting targets info to TensorSignature(dtype=tf.int64, shape=TensorShape([Dimension(None)]), is_sparse=False)\n" + ] + } + ], + "source": [ + "X_train = mnist.train.images\n", + "y_train = mnist.train.labels.astype(\"int\")\n", + "X_val = mnist.test.images[8000:]\n", + "y_val = mnist.test.labels[8000:].astype(\"int\")\n", + "\n", + "feature_columns = tf.contrib.learn.infer_real_valued_columns_from_input(X_train)\n", + "dnn_clf = tf.contrib.learn.DNNClassifier(\n", + " feature_columns = feature_columns,\n", + " hidden_units=[300, 100],\n", + " n_classes=10,\n", + " model_dir=\"/tmp/my_model\",\n", + " config=tf.contrib.learn.RunConfig(save_checkpoints_secs=60)\n", + " )\n", + "\n", + "validation_monitor = tf.contrib.learn.monitors.ValidationMonitor(\n", + " X_val,\n", + " y_val,\n", + " every_n_steps=50,\n", + " early_stopping_metric=\"loss\",\n", + " early_stopping_metric_minimize=True,\n", + " early_stopping_rounds=2000\n", + " )\n", + "\n", + "dnn_clf.fit(x=X_train,\n", + " y=y_train,\n", + " steps=40000,\n", + " monitors=[validation_monitor]\n", + " )\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Exercise solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Coming soon**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + }, + "nav_menu": { + "height": "360px", + "width": "416px" + }, + "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, + "toc_cell": false, + "toc_section_display": "block", + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/12_distributed_tensorflow.ipynb b/12_distributed_tensorflow.ipynb new file mode 100644 index 000000000..67c906f21 --- /dev/null +++ b/12_distributed_tensorflow.ipynb @@ -0,0 +1,556 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Chapter 12 – Distributed TensorFlow**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_This notebook contains all the sample code and solutions to the exercices in chapter 12._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# To support both python 2 and python 3\n", + "from __future__ import division, print_function, unicode_literals\n", + "\n", + "# Common imports\n", + "import numpy as np\n", + "import numpy.random as rnd\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "rnd.seed(42)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "\n", + "# Where to save the figures\n", + "PROJECT_ROOT_DIR = \".\"\n", + "CHAPTER_ID = \"distributed\"\n", + "\n", + "def save_fig(fig_id, tight_layout=True):\n", + " path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n", + " print(\"Saving figure\", fig_id)\n", + " if tight_layout:\n", + " plt.tight_layout()\n", + " plt.savefig(path, format='png', dpi=300)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Local server" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import tensorflow as tf" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "c = tf.constant(\"Hello distributed TensorFlow!\")\n", + "server = tf.train.Server.create_local_server()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "b'Hello distributed TensorFlow!'\n" + ] + } + ], + "source": [ + "with tf.Session(server.target) as sess:\n", + " print(sess.run(c))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Cluster" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "cluster_spec = tf.train.ClusterSpec({\n", + " \"ps\": [\n", + " \"127.0.0.1:2221\", # /job:ps/task:0\n", + " \"127.0.0.1:2222\", # /job:ps/task:1\n", + " ],\n", + " \"worker\": [\n", + " \"127.0.0.1:2223\", # /job:worker/task:0\n", + " \"127.0.0.1:2224\", # /job:worker/task:1\n", + " \"127.0.0.1:2225\", # /job:worker/task:2\n", + " ]})" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "task_ps0 = tf.train.Server(cluster_spec, job_name=\"ps\", task_index=0)\n", + "task_ps1 = tf.train.Server(cluster_spec, job_name=\"ps\", task_index=1)\n", + "task_worker0 = tf.train.Server(cluster_spec, job_name=\"worker\", task_index=0)\n", + "task_worker1 = tf.train.Server(cluster_spec, job_name=\"worker\", task_index=1)\n", + "task_worker2 = tf.train.Server(cluster_spec, job_name=\"worker\", task_index=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pinning operations across devices and servers" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "with tf.device(\"/job:ps\"):\n", + " a = tf.Variable(1.0, name=\"a\")\n", + "\n", + "with tf.device(\"/job:worker\"):\n", + " b = a + 2\n", + "\n", + "with tf.device(\"/job:worker/task:1\"):\n", + " c = a + b" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.0\n" + ] + } + ], + "source": [ + "with tf.Session(\"grpc://127.0.0.1:2221\") as sess:\n", + " sess.run(a.initializer)\n", + " print(c.eval())" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "with tf.device(tf.train.replica_device_setter(\n", + " ps_tasks=2,\n", + " ps_device=\"/job:ps\",\n", + " worker_device=\"/job:worker\")):\n", + " v1 = tf.Variable(1.0, name=\"v1\") # pinned to /job:ps/task:0 (defaults to /cpu:0)\n", + " v2 = tf.Variable(2.0, name=\"v2\") # pinned to /job:ps/task:1 (defaults to /cpu:0)\n", + " v3 = tf.Variable(3.0, name=\"v3\") # pinned to /job:ps/task:0 (defaults to /cpu:0)\n", + " s = v1 + v2 # pinned to /job:worker (defaults to task:0/cpu:0)\n", + " with tf.device(\"/task:1\"):\n", + " p1 = 2 * s # pinned to /job:worker/task:1 (defaults to /cpu:0)\n", + " with tf.device(\"/cpu:0\"):\n", + " p2 = 3 * s # pinned to /job:worker/task:1/cpu:0\n", + "\n", + "config = tf.ConfigProto()\n", + "config.log_device_placement = True\n", + "\n", + "with tf.Session(\"grpc://127.0.0.1:2221\", config=config) as sess:\n", + " v1.initializer.run()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Readers" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No more files to read\n", + "[array([[ 7., 8.],\n", + " [ 4., 5.]], dtype=float32), array([0, 1], dtype=int32)]\n", + "[array([[ 1., 1.]], dtype=float32), array([0], dtype=int32)]\n", + "No more training instances\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "test_csv = open(\"my_test.csv\", \"w\")\n", + "test_csv.write(\"x1, x2 , target\\n\")\n", + "test_csv.write(\"1., , 0\\n\")\n", + "test_csv.write(\"4., 5. , 1\\n\")\n", + "test_csv.write(\"7., 8. , 0\\n\")\n", + "test_csv.close()\n", + "\n", + "filename_queue = tf.FIFOQueue(capacity=10, dtypes=[tf.string], shapes=[()])\n", + "filename = tf.placeholder(tf.string)\n", + "enqueue_filename = filename_queue.enqueue([filename])\n", + "close_filename_queue = filename_queue.close()\n", + "\n", + "reader = tf.TextLineReader(skip_header_lines=1)\n", + "key, value = reader.read(filename_queue)\n", + "\n", + "x1, x2, target = tf.decode_csv(value, record_defaults=[[-1.], [-1.], [-1]])\n", + "features = tf.pack([x1, x2])\n", + "\n", + "instance_queue = tf.RandomShuffleQueue(\n", + " capacity=10, min_after_dequeue=2,\n", + " dtypes=[tf.float32, tf.int32], shapes=[[2],[]],\n", + " name=\"instance_q\", shared_name=\"shared_instance_q\")\n", + "enqueue_instance = instance_queue.enqueue([features, target])\n", + "close_instance_queue = instance_queue.close()\n", + "\n", + "minibatch_instances, minibatch_targets = instance_queue.dequeue_up_to(2)\n", + "\n", + "with tf.Session() as sess:\n", + " sess.run(enqueue_filename, feed_dict={filename: \"my_test.csv\"})\n", + " sess.run(close_filename_queue)\n", + " try:\n", + " while True:\n", + " sess.run(enqueue_instance)\n", + " except tf.errors.OutOfRangeError as ex:\n", + " print(\"No more files to read\")\n", + " sess.run(close_instance_queue)\n", + " try:\n", + " while True:\n", + " print(sess.run([minibatch_instances, minibatch_targets]))\n", + " except tf.errors.OutOfRangeError as ex:\n", + " print(\"No more training instances\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "#coord = tf.train.Coordinator()\n", + "#threads = tf.train.start_queue_runners(coord=coord)\n", + "#filename_queue = tf.train.string_input_producer([\"test.csv\"])\n", + "#coord.request_stop()\n", + "#coord.join(threads)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Queue runners and coordinators" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[array([[ 7., 8.],\n", + " [ 4., 5.]], dtype=float32), array([0, 1], dtype=int32)]\n", + "[array([[ 1., 1.]], dtype=float32), array([0], dtype=int32)]\n", + "No more training instances\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "filename_queue = tf.FIFOQueue(capacity=10, dtypes=[tf.string], shapes=[()])\n", + "filename = tf.placeholder(tf.string)\n", + "enqueue_filename = filename_queue.enqueue([filename])\n", + "close_filename_queue = filename_queue.close()\n", + "\n", + "reader = tf.TextLineReader(skip_header_lines=1)\n", + "key, value = reader.read(filename_queue)\n", + "\n", + "x1, x2, target = tf.decode_csv(value, record_defaults=[[-1.], [-1.], [-1]])\n", + "features = tf.pack([x1, x2])\n", + "\n", + "instance_queue = tf.RandomShuffleQueue(\n", + " capacity=10, min_after_dequeue=2,\n", + " dtypes=[tf.float32, tf.int32], shapes=[[2],[]],\n", + " name=\"instance_q\", shared_name=\"shared_instance_q\")\n", + "enqueue_instance = instance_queue.enqueue([features, target])\n", + "close_instance_queue = instance_queue.close()\n", + "\n", + "minibatch_instances, minibatch_targets = instance_queue.dequeue_up_to(2)\n", + "\n", + "n_threads = 5\n", + "queue_runner = tf.train.QueueRunner(instance_queue, [enqueue_instance] * n_threads)\n", + "coord = tf.train.Coordinator()\n", + "\n", + "with tf.Session() as sess:\n", + " sess.run(enqueue_filename, feed_dict={filename: \"my_test.csv\"})\n", + " sess.run(close_filename_queue)\n", + " enqueue_threads = queue_runner.create_threads(sess, coord=coord, start=True)\n", + " try:\n", + " while True:\n", + " print(sess.run([minibatch_instances, minibatch_targets]))\n", + " except tf.errors.OutOfRangeError as ex:\n", + " print(\"No more training instances\")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[array([[ 7., 8.],\n", + " [ 4., 5.]], dtype=float32), array([0, 1], dtype=int32)]\n", + "[array([[ 1., 1.]], dtype=float32), array([0], dtype=int32)]\n", + "No more training instances\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "def read_and_push_instance(filename_queue, instance_queue):\n", + " reader = tf.TextLineReader(skip_header_lines=1)\n", + " key, value = reader.read(filename_queue)\n", + " x1, x2, target = tf.decode_csv(value, record_defaults=[[-1.], [-1.], [-1]])\n", + " features = tf.pack([x1, x2])\n", + " enqueue_instance = instance_queue.enqueue([features, target])\n", + " return enqueue_instance\n", + "\n", + "filename_queue = tf.FIFOQueue(capacity=10, dtypes=[tf.string], shapes=[()])\n", + "filename = tf.placeholder(tf.string)\n", + "enqueue_filename = filename_queue.enqueue([filename])\n", + "close_filename_queue = filename_queue.close()\n", + "\n", + "instance_queue = tf.RandomShuffleQueue(\n", + " capacity=10, min_after_dequeue=2,\n", + " dtypes=[tf.float32, tf.int32], shapes=[[2],[]],\n", + " name=\"instance_q\", shared_name=\"shared_instance_q\")\n", + "\n", + "minibatch_instances, minibatch_targets = instance_queue.dequeue_up_to(2)\n", + "\n", + "read_and_enqueue_ops = [read_and_push_instance(filename_queue, instance_queue) for i in range(5)]\n", + "queue_runner = tf.train.QueueRunner(instance_queue, read_and_enqueue_ops)\n", + "\n", + "with tf.Session() as sess:\n", + " sess.run(enqueue_filename, feed_dict={filename: \"my_test.csv\"})\n", + " sess.run(close_filename_queue)\n", + " coord = tf.train.Coordinator()\n", + " enqueue_threads = queue_runner.create_threads(sess, coord=coord, start=True)\n", + " try:\n", + " while True:\n", + " print(sess.run([minibatch_instances, minibatch_targets]))\n", + " except tf.errors.OutOfRangeError as ex:\n", + " print(\"No more training instances\")\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setting a timeout" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.0\n", + "6.0\n", + "3.0\n", + "4.0\n", + "Timed out while dequeuing\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "q = tf.FIFOQueue(capacity=10, dtypes=[tf.float32], shapes=[()])\n", + "v = tf.placeholder(tf.float32)\n", + "enqueue = q.enqueue([v])\n", + "dequeue = q.dequeue()\n", + "output = dequeue + 1\n", + "\n", + "config = tf.ConfigProto()\n", + "config.operation_timeout_in_ms = 1000\n", + "\n", + "with tf.Session(config=config) as sess:\n", + " sess.run(enqueue, feed_dict={v: 1.0})\n", + " sess.run(enqueue, feed_dict={v: 2.0})\n", + " sess.run(enqueue, feed_dict={v: 3.0})\n", + " print(sess.run(output))\n", + " print(sess.run(output, feed_dict={dequeue: 5}))\n", + " print(sess.run(output))\n", + " print(sess.run(output))\n", + " try:\n", + " print(sess.run(output))\n", + " except tf.errors.DeadlineExceededError as ex:\n", + " print(\"Timed out while dequeuing\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Exercise solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Coming soon**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + }, + "nav_menu": {}, + "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, + "toc_cell": false, + "toc_section_display": "block", + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/13_convolutional_neural_networks.ipynb b/13_convolutional_neural_networks.ipynb new file mode 100644 index 000000000..94d462321 --- /dev/null +++ b/13_convolutional_neural_networks.ipynb @@ -0,0 +1,848 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Chapter 13 – Convolutional Neural Networks**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_This notebook contains all the sample code and solutions to the exercices in chapter 13._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# To support both python 2 and python 3\n", + "from __future__ import division, print_function, unicode_literals\n", + "\n", + "# Common imports\n", + "import numpy as np\n", + "import numpy.random as rnd\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "rnd.seed(42)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "\n", + "# Where to save the figures\n", + "PROJECT_ROOT_DIR = \".\"\n", + "CHAPTER_ID = \"cnn\"\n", + "\n", + "def save_fig(fig_id, tight_layout=True):\n", + " path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n", + " print(\"Saving figure\", fig_id)\n", + " if tight_layout:\n", + " plt.tight_layout()\n", + " plt.savefig(path, format='png', dpi=300)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A couple utility functions to plot grayscale and RGB images:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def plot_image(image):\n", + " plt.imshow(image, cmap=\"gray\", interpolation=\"nearest\")\n", + " plt.axis(\"off\")\n", + "\n", + "def plot_color_image(image):\n", + " plt.imshow(image.astype(np.uint8),interpolation=\"nearest\")\n", + " plt.axis(\"off\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And of course we will need TensorFlow:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import tensorflow as tf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Convolutional layer" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sklearn.datasets import load_sample_images\n", + "dataset = load_sample_images()\n", + "china, flower = dataset.images\n", + "image = china[150:220, 130:250]\n", + "height, width, channels = image.shape\n", + "image_grayscale = image.mean(axis=2).astype(np.float32)\n", + "images = image_grayscale.reshape(1, height, width, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fmap = np.zeros(shape=(7, 7, 1, 2), dtype=np.float32)\n", + "fmap[:, 3, 0, 0] = 1\n", + "fmap[3, :, 0, 1] = 1\n", + "fmap[:, :, 0, 0]\n", + "plot_image(fmap[:, :, 0, 0])\n", + "plt.show()\n", + "plot_image(fmap[:, :, 0, 1])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, height, width, 1))\n", + "feature_maps = tf.constant(fmap)\n", + "convolution = tf.nn.conv2d(X, feature_maps, strides=[1,1,1,1], padding=\"SAME\", use_cudnn_on_gpu=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "with tf.Session() as sess:\n", + " output = convolution.eval(feed_dict={X: images})" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure china_original\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_image(images[0, :, :, 0])\n", + "save_fig(\"china_original\", tight_layout=False)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure china_vertical\n" + ] + }, + { + "data": { + "image/png": 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X856pm7Fs6dzqFE+fvtVVp2V/dlr0GIc6GHU33p/sEWo7prgPbPMUw5x1ox84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\nj2SaGg71pqonUbNJceMT1HQ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_image(output[0, :, :, 0])\n", + "save_fig(\"china_vertical\", tight_layout=False)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure china_horizontal\n" + ] + }, + { + "data": { + "image/png": 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SvqnpUd/u8k5hK9NxwkmHqzpr0klTO3k/053mT2ZdN9muzn1ujD60KO+lq15y\nI2So2UuXLrVpaoDVrZE6OO9lu7kumOaYUROs+SVXTmr+TKcjX1l2Z5fDMUnHpFJfTi5t1IxrP3C8\n6XbKucm6URsn3ZHOY2zd7aj/UtOnuy7LTkcAs+w6Xzh3ODeTPQn7jfOJ/ch1VPXq7j02xm6fcv5w\nvOnGShc69nO1pZkdk2RvwPnGManrhNfYTtqrJDd24i9/ERGRxXDzFxERWQw3fxERkcV4hTrRMXD2\n7NlNpaijUPvuNL3kt8vr1Bc7DX+MPrRkOrKV2hbrwutJjya1Lmw3SbYOqS1dnIAUv4DpFHMg0fnm\ns49TTIF0NC31SGqfXWha6odpLjLNfqFG2OXPe1lP6okpDgA1/eSDTC20kvTiFN8i6dO1rmked3YT\n+9IpBkVnK5M0/PTeS+1m2Z09VPKNJzN5j3FYXJDZ+9M7vXv/pLLTu4tlpf2o67dkh0Pbtxs3brSV\n95e/iIjIYrj5i4iILIabv4iIyGIcpZ9/0lWpZfJ61U2Sjp501qTJ8Do1v+5ayitpdun+StLZWRdq\nfClGAfOr/ZpiBnD8qG2meAjJ77faACTbhhTPgLoaY3UzP9qrVB9jxgTgvGdejEmQxp91rWdJUNOf\n1VmphaejbbvrKVZ7mmtpXXRH+qZ4+OzzFPM+rVmma114jbYPCbaT+XWx/vlOTX3I+ZOOBKY+nWwI\nurzSMcwpXsaMLVWK1c92sa5pHXTzJ51hwxgDHMOEv/xFREQWw81fRERkMdz8RUREFuMoNX9CTYcw\nhnX3LDUYkq6TTuNLumny++f15FNKuhgFjG89W9cUL6Hz82e9mO5iJ+wrO13vxoQ6O3Uz6m7J15r9\nwOv1+RQTgM8Stjvptu++++6Lv5M/O0k6a9JVWV5tK8tO50xQ+0x+/6xL7Sfq6uzD5LedbIhIF5+d\nz6a48Hzvse4pLkjtN7aTa5Z5c/zTufbJhqCWz7okeyPGkOjivuyrW5c/28l+4LkBzJttSbp8nQOs\nF9s5ux8Qf/mLiIgshpu/iIjIYrj5i4iILMZRav7UOtL5A7zexfZP/u6JpF3NxKzms9TNkpY9E/Oe\n7aT/edJN0/XOvoDtYtlJN01+/0nT62L7J7uLFBeAUI/uYjvQR5h1O336dFs2+5F+v+T+/fsv/u7i\n3Y+R9UT6u7MfZ3zOk61LstOgPp3aVnVczk3mxRgEtJVhOxmzItmEVM2YedEWIsWFJ+wH1q1eTzEG\nkn1JOtODKhPqAAAcWUlEQVSA93Pudm3hmLBPGWsj2cqkuldoV8F3C+vWxXHY93xXt7Qmud6TvQnx\nl7+IiMhiuPmLiIgshpu/iIjIYhyl5k+dJMXyn41pXDnEB3SM3pd2VienxpPizqf8uxjm1NxIilGd\nzkyo6dTHKVY7xzfpj108ddalxv3fl3fy80/aJrXxqkdS02e/pJgDyReb86Hq13w2+fmzT+lznHyz\nWV7td5bN+cAxoU6f1hXTde6nMw4I58usDQjnC893qLBf2KePHj3apNP408aktiXZwnCust+SLk9/\neI5hnT+8xngY7AeuMe4P6RwBnt9QeeONN9qykk0A1wXHoIuHkeIZpJgiCX/5i4iILIabv4iIyGK4\n+YuIiCzGUWr+ScNLNgH1eWpXSdtiXsmPszvvOZ3lTagPJn/nFKOg6knUns6ePbtJJ9/XZF/Afqjp\npHsmWwbS6YX7nq9jmHT1ZD+QzhanLkdf3Ho/68J5nvx4L1y4sEkzP2qAtS289/z585s0tW22k1p1\nigvQxR2fnfck2cZ097Pe1NEfPHiwSac4AHfv3t2kkwZc9WmOJ9tBvbme1TDGfLyM2vYU74L9xDWY\nznLg/Opis5A0vlw36Z2d6to9Szhmae+irVXXFo7XzZs3N2m+w2/fvt3WlfjLX0REZDHc/EVERBbD\nzV9ERGQxjlLzp55IXYVaRxcDfTbecYrlnvSm7lrStpN/ctL8WfeqyyWfYfrt8v7km0+qlkkdnVo0\n/XKTdpk0vE4zno1Bn+LGJz/ezv6Auvq5c+c2afo3s65cJ+zXLj4C+4x5sc/TXGZbSBc/gfWknsw+\n5FwltCFgfvU628l5nuYm07yf+bMu9V3W+ZuPsTv+fC9yrhL2c60b8+a85nW+i1I7eVZA9+7js+kd\nnmKxpPtJnR/JJow2H8kWgrAf69zmu6Q7o2JfXRL+8hcREVkMN38REZHFOMrP/jw2k5/S+Hmsc7dI\nLmqdO9QY+ZMzP4/V67Ofn1KI1OQC1X1C4udM3suy0pGe/LzFz4L8ZN2R+pyflNOYdJ+ok4zDMUif\n/VOI3e5+tot9mELJpvlC6vPJlY8k168UmpqfMLujTVPebPfsUdd1fjAv1ovrIPUx3ycpXHSdy0la\n47xP0gxhW6u0xz5mON7kwso0P0GzH/nJutaNc4VrLMmdSf5ILthdaHL2IfciStB8D/I6XSBr+urV\nq5trbBfHhGOW8Je/iIjIYrj5i4iILIabv4iIyGK8krS+/wY///nPN5W6cuXK5jq1kIsXL27S3VG2\n3bG3Y2Ttk88nPapCLSuFpZ0JQzlG72bSuZyNsavJMa+kk3V6JPuMYUpZ1sOHDzdpHptJbYt6I5+v\n16nR0b6E4TeZpn0J5x5123v37m3StXzqnkx3xwGPseuexzTHtOqN6bhghqn96KOPNmmGvWWfM0wu\nXUc/+OCDF39zXVC7vnz58iZNHZVjxOt0Da4uldRc01HHtJXg8xyzdBx5HXPWm+v9/v37m3TS3ZNb\n2mefffbib85Tji+vc03++c9/3qQ595KtTRcWncy6zyU7nZk9MLnI/uhHP9qkuWap+fN9VN8fHL9P\nP/10k75+/fomzfH9zW9+0xq/+MtfRERkMdz8RUREFsPNX0REZDGO0s//xo0bmzT1JuqP1PyqTjd7\nNCX9XakP8XqXpobLsqjxdcfijrGrJ7Ld1EarHpl09+Q7T02Y/dKFB6YWRQ2W16ltcvypJ1KfpP9r\nfT7FjKCGR42X+jTrwjFlXWq/8NkUc4D3c0zYb9TOa104BuTOnTubNPVGzpfkg8z8qt0G8+Jcoj0B\nx5DrhGGSmX9dC50GP8bu3ORco20E1yDHgPOp882mPsxnaY/QHW0+xq7+XG2n0lHXfF+k46Z5f9Lx\nO82f783Zd3IKkztz/HQKNcz5dO3atTb99ttvvzTNdxHb/f7772/StLtI+MtfRERkMdz8RUREFsPN\nX0REZDGOUvO/devWJp2OtqVGRI24uzeR/Nu7OPJJH6L9AfVn+pBTT6YGSI2w6rrUi5KfNnUxaoIp\nBkG1R6C+TN96Qt0sxV9Px/DWurDPUrt4P9PURpN2WrVSzg9qk/SlTho/58tbb7310rrxXvrlUx/m\n3KOGf/PmzU2a8+nDDz986XWuIa4Lrmdepy0E58t77723SVdbmC62+hi7tgtcN9S+OUbpDIx33nnn\nxd+MIcG68FmWTZ2dY/TJJ59s0h9//PGLvzn+nHu0baBdFucux59zvTtzhe/39P4nXP9Mp3dXvT8d\nfc68//SnP23SHINf//rXm3TXNq5R9hnHjOvkF7/4xejwl7+IiMhiuPmLiIgshpu/iIjIYhxlbP/z\n589vKpV8ZaknVf/X5L8+G08/2RvM3Mt08vun/zL9QKkZVq2dz1InpcZP/2Zql+wXjlHV/FIs7s4v\nf4xdvZFad/LTrbpcOvuddaXOyj5mmnYX7JeqpSfbh5QXbSM4H9ivNc15Tz9++p8nGxHO1aTx1vlE\nHZX6Ma+nWBy8n3Wr/u1vvvnm5lrV4MfIZz/wOnVaziemq7ae1hjTt2/f3qQ5Jkzz+foeTbYqTKf3\nKknx9Gs6vZPTOSVsZ4rlwvlW03wP8l6Wna6ndK17mtfpzIIvv/zS2P4iIiLyH9z8RUREFsPNX0RE\nZDGO0s+f2gb1JWodvF41nS5O8z46LWpffp2NQLqXedMPN+nT1OGoN1Ztk5o/NT5q24w5QG2b91Nf\nrDYF1MHYL9STqWVS82d+7EfWrWrlvJbS1DKT3sw09cY6B3gvy6avPTV+zod6PvsY/dkStC/pbDbG\n2B2DFKOAdPoz50PSdJMtDdcFx6zOL9oPsV/o7851QxsA1pU2BLSlqLYWnCvJp5y2MXx/0A88ncfQ\nXUu+8smuZ4ZkP3BoWWm+1XQqK+0PKSYJ110lvZtYNudqwl/+IiIii+HmLyIishhu/iIiIotxlH7+\nr7zyyqZS6Wx5anz1etJwk99/8hntzpo+NGZAinFN2NYrV668+Dudcc68qVW98cYb7fPUm2usBWqu\n7BfGHGBe9LVNmvCMtpn8/JMNCMuiBswxqbo9NfyUTnohx6zzX2Y9OQbsB44B9Wj2I/uccehrW5IP\nONdY8jHvbB3G2K5D5sXYCoR9TBuBuubG2O3nzh6BfZhsW2g/wDHiuuveo+wH1pNjxHYnGxA+T3uW\nWlfaYfC9yXawjznenNt8vrPLYdnsY65vzj3CfmDdar/x3vpOZT3H2F1jX3zxhX7+IiIi8h/c/EVE\nRBbDzV9ERGQxjlLzf/XVV6di+yfdvpLOgibUg/g8ta5OR6M+NJPXvuuEGhA1vwr7jM/O+q9zTGrd\nk51E0tWTppvi8dfyOJfYp8kOI9mAUCvtyqN+zDjxrBvbyfPbmR/Hv/YbNdeko5J0tkPSp+v97PMU\nT50kvblLc16z3exzznP2Y42tMcbumHDMury6eBVj7J7dkOIEdGue/ZDOamA/dbFW9qW79w3nTlqz\n6RyJdDZEOlOhg3Vj3nwfsCzq9NVXn/OW480+ZLyUp0+fqvmLiIjIf3DzFxERWQw3fxERkcU4ytj+\nKaY9dZbuejqHOmm+1ItS3IBOl5+p9xi7+iJJ2hTb3pWVzoaepeafYpQnW4WkLydNsLuWdHWOEevC\n+ZC08loe9V+mOX6sG6+n8xpq2ame6Tx3jmGKx8450J23kOxykhaexrjeTw2WsRXY52mNMp3GpDIb\nzySdeZDqXmE/pDWWzhmZiTEwxnaMkg0PNf3k58/7OUadTRLLZp8zr/RuS/YFvF7pbHjGyHFgiL/8\nRUREFsPNX0REZDGO8rN/cpeacfWb/SSY6tJ9tmN+/NzET2UpFGw6HnLmWE26jfDeFBqWpBCsM5+g\n0rGZ6ZNj+hRfSWGN0yfn5FbKfujCSbPe6Qjo9Dk0uTzVtiUphfVObkZpHZFaF4Y4ZV3SZ/4UDpZz\nueaXQm6T5BqdrncukSnsNT/zsl2ce7zehYNO70l+zp452nxf3UgnM6bw3skdl/02494+e3xweuen\n8PJ1HGZl4iS9EX/5i4iILIabv4iIyGK4+YuIiCzGUWr+syGHOy0kabwJ6kfJNbArK2kyyXWP/ZJC\n8nZ6IutCN5Lk6jczRjPukF8n73T0caejHarpc0yTxj8bTrqSxizZBHQusykvtps2ISkkcwpdXdO8\nlvTh5IaWXCCrlp5Caqc1nI4XTvYp3bOkC1u9L837O5datpM6e3pvpuOHSXIF7K7RxiO5QCa7nO4Y\n93R0Ncc/HT+c1nQXFj25Z+vqJyIiIi1u/iIiIovh5i8iIrIYR6n5J/9laj6d5ps0uaTRUfMh1BOr\n/sS80jGZSaucPfq2O7qUJB9iXk/9UuuWQgcnXT3p0TO+tEmzPdTeZCYORLIHSMfkzlLbnrRszr0U\nzjWFlu3iZaS5mdYB42UwJkE3/5Ifd7IBSf7uSa+udU/HLJ85c6a9Tp3++fPn7fXarynOB9f7uXPn\nNmmOAY+qZZr92B11zLqw3efPn9+kOZ84H9gvXRh0ji/rffbs2bZspln2o0ePXloXtpN92Nk2fR38\n5S8iIrIYbv4iIiKL4eYvIiKyGEep+ZOk8XZax2y84+THyev0V+1i4lPfSZp98uNO2nnVq9IxybP6\nUbLLqPmle2fjGyQbgk6Pnj3bgaSyqZ2S2i/p3IiZWP3MO13vdM59Zae8U12pN3d5p7rMxs/v4tYn\nG6AUOyEdR5xi3ne2M6z3w4cP27z57mGfd7H/Z/Vi5s26pGO8uzMVOL7pWHW+V5k3z0hg3dlvtS7p\nXADmlWwEkl1GTafzVQ7FX/4iIiKL4eYvIiKyGG7+IiIii/E/ofmTpAHPnIlMv9vkp53KrjpNOtN6\n1sc4aZ9J66ywnelM9HSGOutaNWXaRSRbBpK0rxT/oIs5MHt+e/LrTj7rtR+TDpo0fnLIOQJprqb4\n6Uwn25juXpZN3TXZaST7lkoXW31fXRLJVoL9XPslnUPSxfEYI6+jLjZ8is2fzijg+yDZHzC/p0+f\nvvg7vfeSHUaK5c8x5tytdWf8ArY72Xwwb8ZyYF27fkh2N7Pr31/+IiIii+HmLyIishhu/iIiIotx\nlJp/0jKSj3HVtpKfftLVkg8y/bprOtkbkM4f+evA56veRM01aZOzOj3TM37Ds37bSePvbCNSPIOk\nHyZNL+mTtbxZDS+dcTATByDNNWqdJNmXsK6dDQGvURelvQHnJtdgmotVn042Gmk8SdKju3NJZs9X\nYDx89kvqp6pX0988xeJgO3juwOPHjzfpFA+jzt10jgRtQDhXk33CzHuW9WQ7Ul4cg2SPUOc+7012\nN7P7hb/8RUREFsPNX0REZDHc/EVERBbjKDX/Wd2dVI0n+R9To6NukmI7d/7Lh2r2yR6BdDp80otT\nv7CdSYevWtbsmQRMp7qTrm2sd/K7TX7+SSvv2p7OGUi66yF+/QmO0enTpzdp+jenmPhdTAqex85Y\n7EnbpPad5k+dy7Ox/b/p2Bz1erJ1OHny5CbNfiLsly6WQ4oxwLJZt2QjQhuBFMuhK4v9lNZcSnf2\nTWl/oE1Aej+kMxC6NZ3OgknvReIvfxERkcVw8xcREVkMN38REZHFOErN/9CYxZXkn5piBqRY/51W\nxrJn/bqTzcCMDQB1rdSuGb/cfdT8k1aVfMJTO1O8/Vo+28WyUruS/ULyG+/KmtWT+XzyQa75z5yH\nMMZurHbOpxTDnn7fdW4/efLkpfXcV1ayV6HP+rNnzzbpboxY7zS3ZmMvdHEm0nuusy/aV1fO7e5d\nyPHl3Kkx58fYtQHg+4Sx/B8+fLhJdzo9+4jjl87A4POceynWR60L38G0s0jvaI5ZOs+jq9dsXI+E\nv/xFREQWw81fRERkMY7ys38KkZnowvsm97nZsjpXsBQ6dta1L4Wx7VzBZo+HTGEoyYyLShd2dt91\ntit9au8+xaXxTRLD7HXO5eq2NDv+ydWvO7KVdUkSQ2J2HXVyWqp3+tzJT85Md/OB/ZDmWnLlmnW3\n6t5VycWNn6Bnw4PXNZ0+nZ86dWqT5md7pmc+rbP8dGwuy0rtTMfydhIW875w4cImzTEi6dj1e/fu\nbdJVXqHcceheRfzlLyIishhu/iIiIovh5i8iIrIYR6n5p/CvnXsE70/aZHfM5b6yU7jH2ZC+ldnj\nhZMrSK1r0pdZ7+QSR1h27dfkypd01eSOl3Tbej/v5fgfCjXA7gjgpE0nm5HZkMu1X5I2zTGh3sz0\nrJ1GrSvzoqtecv1Mx67y+drvKbzqbKjpWXe7WtfkRpjee5x7yX2vq2d613DuMZQw+zW5hnZrlPcy\nb7pvs66pbVyH1ZaC8yGFnk5hjEk3xul9MOsqTPzlLyIishhu/iIiIovh5i8iIrIYR6n5Jy2D6U4L\n6TTXfenZo0pZ9kx4Vz5LLStpPklPqvoR9b+kNzM8Z/Ip7eqWNH/CsljX5Afe5ZfGK+nsCfZz55s/\nU+99eSUNkHS+1IR5P3r0aJOm9km9mWPe3c/QsSn0NPXj5LfNMan9mt4Pszp8sl/p0lxz7FO+H5Lt\nTAqLXPuZZac1Sm2b7w/2eRrjzvYh2U0k25dkQ9bZ0rDeafzZbsLnGdq61pXtTv0wi7/8RUREFsPN\nX0REZDHc/EVERBbjKDX/Q2MWV12Fugh9gjvf1zHmdFTmx3akMwtmzyFImm9Xl6T5Mz3ra9+dK5B8\nqdO5AoccZTmrsyeSJtyVP3scbJfX17nelc009WXGR09aOemOo01x35O/etKnu7rwWc772bMckg95\nN3fZLtpJpNj+KT4C013ZyeYn2Qgle4POBol1YbtoCzFjV7Gvbhyzas/Q9RnrvS+vtEbZj3WMuQZJ\nmpsJf/mLiIgshpu/iIjIYrj5i4iILMZRav6zmu6M9pF8p2djc3d1Sfem89iTD3rS3evzzIu6Gftw\n1t+5s51IGv5sDHPSnVs/xrafUzsOnXvpfPeZcyeS3UWiq3uKn86yqW2mNPNn7Pd0DnqFfci5STse\nzge2pZZNrTr1C0k2HukskNdff33v36znGGOcOnVqk07nCtCHnLEa6pjRbz/lfe7cuTZNnf7+/fub\nNHX3kydPjpdBX3uumwsXLmzSnPcPHjzYpB8/frxJs59r/qwn0yyb64BrlnYazK/O7XTuiH7+IiIi\nMoWbv4iIyGK4+YuIiCzG/4TmP6Ntj9FrvPQvTRpt0r47nT75eKYYAyTFCWB5Va9MGl6KSZD0peQP\n2+WV4qOTpMt3/UJNjnpfinfAsnmd2mnXFj7LeicfcpL6oXs+adfpDIw0X7q6pTMLyCHxDb7O8zP3\nzsYB6N5daQ3R73v2TIPO7z+dSZDOU2DdqPnT3oD5VV2efZb83VkW5yZtH3h/R1oXzCv5+bPf2C/V\nvqGL+78v75l5PYa//EVERJbDzV9ERGQx3PxFREQW4yg1/6Rdpvu7c8upmySNJtkXdLpsqves7/wh\n/u8zGuy+dGdPMEvSotluan6p3zobkC7G/Bi7vrXJ/iCdO0C6OUH7g+6shn3Xk91GF2Mg2brMxlNn\nXahf1vyS/cCzZ8/avJPvdBe7I/nh89l0TgVJ75PaNl5jLH/ONbaT/UDNn/fXtlJ7Jhz/NNdSXdkv\n3XkLtKNJ8TGSFs41zufrmLDdKfYK8+76fIzd+AY17kQ6f4XMnkviL38REZHFcPMXERFZDDd/ERGR\nxfif1Pxn0tRNqB8xnbRNajx8vvML5bMptn+6TjoNmLp58mdPZ6iTTgtL9gMk6bBJC+/6MfXprK9s\n0so7HW627KQ/k06fTvog103SWdO59SdOnNik6zpLOiq176SjprbV+9mOQ8+VSHYYfF/UtqX1n9YB\n+5j9xHdb1Zups6ezF9hvp0+f3qSpfTPNMa3vp3R2A9vNdxvPEaAvftLOa3ksO+09HAOWley4ar/z\n3hSTZDZujL/8RUREFsPNX0REZDHc/EVERBbjKDV/ckgM46QH8jo1m3TOfaddJf/1FDc6PZ987+t1\n1jtp/rM+5d158EnzT3l1/ur70t2Z7LP2I7M6GjXdmXMGkl/vIbEVWJfZuA1sF8+WZ92pZXYxLPgs\n5yr9/JNvddKMqwY8O5eSTUAXU2CMXX26jsnZs2c316ijs8+THz/HtDs7nvViH7Ls5Pef4qs8fvx4\nk67+7cnPn+/oNJeTXVYXo2LWHqV7D+67Tur1tPccir/8RUREFsPNX0REZDGO8rN/+ixMkutGJX1S\nTmEp+amtOwpz9nP3a6+99rJq7y0rhdjs4KdUfsZLn8bS59KZUJMpXC/z4mfi+slwjLmjcNNn3lQX\nlp0+QXafuxnq88yZM23e6ZjdTh5LLm6c93SX4mfiJBMxvG+9n59lu9CvY+yu0RRSlffXMU0yT5oP\nST5LR0jXz+n8hNwdFz7Gbr+R1Jb6+Zz1Zl343uvcBvdd53zrnk8hlDlX0/xJ4Z9Zlzq32S+cx52r\n3hi7Y8Y011EKP16Zed/vw1/+IiIii+HmLyIishhu/iIiIotxlJp/gjpL56aWwpImVy7mTc2mcysj\n1KKYdwrfOBt6ttPdk5sQYbtZF45J1WGTZpfsMGaPeO60sKQnzrpXUm9OYVHrmKawxLQBSa4+yWWu\n0zJpu0DNl7pq0rIJx6Ten+xJkntU0tlJzS+FW0114fjTTuPcuXNtXWv+tKugvkztmsfw8vnkdljb\nzvcBSdp1Whe0CehC9s5q2Ww33QjZtmTn04UmT/tF9x4cY4zXX399k+5cLDleZDasNfGXv4iIyGK4\n+YuIiCyGm7+IiMhiHKXmnzTfpGVVTSdpNsl3PmlbnS9/0mBmy0p0WnrSj0ing+0ri/pTp9slewHa\nH6SQqjP9zD5OfrvpSGfqsIT9UjVg5kWtOsViSDYDHPPalnRM6ueff75JU+tOYWvZ7nv37m3SVYdN\nMSaSfzv1ZNYlHQFbYb8kG4C0LtL8qG1Jfv6s28WLFzdp2hvwedp11H5OR/ByjC5cuLBJM+Qux4y6\n/N27d8fLSHY5LOuNN97YpFP8g4cPH7bXuyOf2S7adKRYG7Q/+Pjjjzfpmzdvvvj7s88+21zj+4B5\nzdpK+MtfRERkMdz8RUREFsPNX0REZDGOUvNPft1JE6okP91ZH2HqaN0Rwcl/Pfn5J//mmeNm0/kH\nqSzq8OlcgZnzFpJm39l07Hu+mx9dbPUxdnXXZHfBujH/Tm9Oead1kGL7U7etWmnSaNmOt99+e5O+\ncuXKJp3iady5c2eTrv3Mo2vZp7dv396kqdnzKFzq7tR4q85669at0ZGOxZ2NQ89+qvPv/Pnzm2sc\no7ROUtx4jkGNE0DbF/YZ9WX2G+vK9wHrQv26tm32HdzZD4yx2y9s29OnTzfpahvBetN2IdntdGtw\njN35VMtLsVdm7Kz24S9/ERGRxXDzFxERWQw3fxERkcV4ZdaXXERERP638Ze/iIjIYrj5i4iILIab\nv4iIyGK4+YuIiCyGm7+IiMhiuPmLiIgshpu/iIjIYrj5i4iILIabv4iIyGK4+YuIiCyGm7+IiMhi\nuPmLiIgshpu/iIjIYrj5i4iILIabv4iIyGK4+YuIiCyGm7+IiMhiuPmLiIgshpu/iIjIYrj5i4iI\nLIabv4iIyGK4+YuIiCyGm7+IiMhiuPmLiIgshpu/iIjIYrj5i4iILIabv4iIyGK4+YuIiCyGm7+I\niMhiuPmLiIgshpu/iIjIYrj5i4iILIabv4iIyGL8H4mCxTN3AYHDAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_image(output[0, :, :, 1])\n", + "save_fig(\"china_horizontal\", tight_layout=False)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Simple example" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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FtMtEszTMRDMzxHg8RhrmyWTi6l/h9v1VQdXcQORtYrJCVUANYht2qlfFByBs27JTm1aT\nX9B5u2jIOeDHWVFlU3G6Zp4NfpGKjqo/i5OS41WfV7tOm7j177xmYqfv5xHetYlBQ0NDQ0ND4xJ+\nsQxCEASRspyYAi/mwKsfV0HRz0sLBynv5vCjSgPKulTbrFarRET03Xff0cuXL4loFtrIZoXHjx/D\nlBCPx9FuvV6nW7dugV1IJBImk4Mdgo7pVWmZ87bjFXkQtpe3RJjOhItuw858qUovWzHPeqBi8vSK\n4vCC1ZRnZYNUmYVFvAOqphMrnDRwt+/9mAVU2bv3abq79gKC04Nb9CISxM8gjAftd6IvMkRLxURi\nRxuHZfZxWoSstK9hGDjB8ccff0S+g+l0isiFFy9emHIiJBIJIiLK5XLU7/cR6ri8vEylUkmpf37v\nISxc1aFfQc0Cdtfb/c9Q9RNwK+8157yEVb/mo3kFb5XfvdqQPil+o13mxVX4Rvnpg9t6JGG3n7gJ\ndX59A8JWquzaChPaxKChoaGhoaFxCdeeQWBcBQ0znU5dkxUtqk0V6VNVy+J6VGEnCatoMGE4yNjV\nJSHrdmtjPB7Td999R0REtVoNZoVYLIbkSOfn5/ieiOCUuLKyQslkks7OzoiI6B//8R9d+/i+4Cff\n/iIQxEHPqo3ZebUvAvOMgR827X3OiUVGUi0K72O8vBwIVa93+t8Lfsykfn6zzseg7NwvRkCQ8KKR\nwqiX4eQhPC+N9743HAnVMfQyf/CG7mWPVW3fqbwd9f38+XPbetPpNBHNkiNxRIOkYZPJJPX7fQgI\niUTCVvjxE0rldZ9X5YPyvhAkZCzIe+w0z5wWTj9CdtBrVO5lHuFonjXoKvw73lfbKr4ffn0IwvKZ\n8Frf3MynqpFUsi0/fdYmBg0NDQ0NDY1L+MUwCG4aXBBq3Qte9N0i2mSJ0Y8EG6YGGoaUr8oaOJVx\n8ih2w3g8pmQySUTv8htw2UKhQERES0tLMDfIOpPJJCUSCTANXI+1fatW6hQrb3c/Tt/5gZyPYWrc\ndnNMdW57sSBBWKOgsJszV+Fw+L5gzYPgNy9GEAQxP4bVtlMbXv1ySnGvWq8qVOh+v2XcvrMz2dmV\n+z9pYpBYqIenmFxygba+kGH3IShFake9B6XAgyCoMOPUrko/JpMJHRwcIArh5cuX2OSHwyHdunWL\niGY+Bxy+GI1G4WtSr9fpxo0bOI+h0+mg/CJt5Kp1O2VPZHg9M5WFx034Vnk2qvPMunGEaWZREWau\nShAI0o7qxvS+/Q78CFnzjreq34ub6SCo8MvXWMt7RXVZ21rUvFONEPKCNjFoaGhoaGhoXMK1ZhA+\nVOrPj3OQisTqdo1XeVWnLDdKyo3+VqFunfps/awCN4mdf4tEItCkLi4u6Oeff8Y1rVYLOQ46nQ7t\n7u4SEVG320UUQzKZxOdOp0OZTIa++OILIiI6ODhAm/l83tGU4Eb1yd/s7t9r/LzSeHvFTc+DRbFh\nQajdRWqrKnP+Q4pasIPd/HBam+Y19/kZCyeHOyv8mCvcvvczT1TNZqr/q9T1ITskX2sBwS+C2mZV\nzlXg+oncvU6t8DM5vPofhMIP4sV9lX4PEm4mEuuzOT8/JyKi09NTevr0KRIi9Xo9mA9isRhtbW0R\nEVGlUkFdFxcX1Gw2iWjmv/D69WtaX19HOxcXF0RE9PHHH8N0QeTsj3BdsKiFSoVG/ZDGyc3vQp7F\nEXQ9cWtXtjUvgkRSqa5b1u+91gUvoc2PgqJqLvCCnT+Xl4kg6LNxU+7srnEy34W5n6jg2gsIXppS\nmDYetxfO7QS9RUwuK8K2azppwPO2G0QbsPbJ67vz83M6PT0lIqI3b97QwcEBBIRcLgdholQqIYVy\nuVyG4HB2dmZiGVqtFgSBdrtNmUyGiIgGgwF9+eWXRDTLl2DXJ1UbpRWqdmY7X5fpdHqpD/MIdW4L\ntF8B0wq/74aTk+4inWfn2YSs5ZzWI+t6EaQdmftARTiY5130ui6I8OQ27n77JeE2Z+V3qn4H88KN\n7XX73+k7P7/7hfZB0NDQ0NDQ0LiEa88gLBphJDyStiYn6mie+rlur2u4bRVNXYXim1dD8As3zWs6\nfXcg08XFBb1584aIiI6Ojiifz1OtViOimVmBy9y5cwca18rKCo3HYyKanbdQLBaJiOjZs2c0mUzg\nxzAcDmk4HBIRUb/fR8bFTz/91MQiWDV7L0077HlhxSKo8EXBOk/9RkGEhUU8j7Cfs3V9sluvrsq2\n7WZaVaXG7cr4YZf8fv++fXTCNlN5teG3f78YAcEvJaa66Fht205xs0EnWxC6VIVmUqXjnag3uwml\nSm953YvKAqFCXctrKpUKVSoVIiLa39+no6MjIiIajUa0s7OD/1dWVuCf8PDhQ9TdbreRI2FzcxMm\nhvF4TKlUirrdLhHNTBEsFDx79gzlR6MRffrpp0REtL6+jnnD9H5YVLiEm1lrHvhZUPy+T0Gh4gDq\nBDsh3e4a6zNSoXitwrcfOAniXvWo+kRdBZzeWzdKX0WZcTK5uAkebn0MMmdUoFKfk4Dk9FcV85qB\nVKBNDBoaGhoaGhqXcK0ZhHlox6BSlZPU7ubIpYJFUPrW+txoPOt1YWmDfjQrFRoyEnkXwjgejxFR\ncHBwgPMSDg4OTI6IFxcXlEqliGgWznj//n0iIlpdXQUbUC6X0c7HH39ML168ICKimzdv0tLSEj15\n8oSIZg6Mm5ubRDRzUtzb20PfWLPrdru0vb1NRDOThmEY7/UgpXnnY1h98GpvHgbETrOXrIEKwnR0\ndKo7DFOJNSkbkbspNKjG7KV1q9yv13VubcrvVFhHP/WHCZU9Zl6H0KsyE1lxrQUENyzSnktkT++q\nTBQVSs4NKtepesmGjXkjN7wEIV6o2BTQaDQQrXByckL7+/tERJTNZlFXIpGgfr+POgzDoI2NDSKa\nRTQwnj9/jqyK0WgUYY737t2jWq2GTIqTyQTmit3dXWq320RE9Pr1a2RibLVaiJrY2dmhpaWl0Mb+\nfZzSN6/AGKRskDIfmlnkKuE2J6wZX+2ECbeN082Gv6j1yLqWOAl7Tmtr0OfqZ7NWFZrCWNvn3c+C\nltMmBg0NDQ0NDY1LuNYMgpMzlR/NwE6aDqKhqUqebo5JYWppds6T1muCSPbWvjs5D8nP8zoI8fOY\nTqfUarWQ5fDw8BDRCUdHR3AszOVyqCOTydDBwQFyHBQKBfrVr35FRDOmgU0EjUaD/vCHPxDR7LwG\nZhfW19epVqsh4+LZ2RnaPD09RX6Efr9PBwcHqIudGpvNJn300UeOEQ5BMG95O9ixP/J/JwdU1Tnr\npQE5OaV5wS9160T7urF88vdFe5wvAn4Oa/KLRTCgQcur/qZqVlVhouaZf2Fg0QzYtRYQVDzfr5KS\nDXPx8Gvzc4Kdn4GfftpdH9SebaUJnYQNIrNtlU9ZPD8/p/Pzc9D6R0dHCDkkIoQmrqys0Gg0IqKZ\nQBCJRHDA0tbWFhIdpdNpevr0KRHNzAUc5lipVBCR0Gw2KZFIIJPi0dER3bx5k4hmvgaHh4dENDMl\nNBoNIiKTEHNxcUG9Xo8+/vhj9I0XaycBNwiCnt5nh6uk3t83xW+3cagK0tZrwhJWfinwI1RZlacw\nzAV25b2UIhUzscr3YcNNsPbyz/BbVkKbGDQ0NDQ0NDQu4VozCPNCVcty0sz8UlJM98/jtepHGnb6\nfhFes0GcEa2QpgT+3Gg0EKlwdHRErVYLmrq8//X1dTgS5vN5ODL2+32KRqOUTqeJaMYUsLnh9evX\ncCa8d+8evX37FnVxHy8uLmhlZQX/Ly8v0/LyMhER/fTTT2j/5OSESqUSEc0cIZn14PqZ0dja2oIz\nJKd55jKLgJ1Zi+FlVlC91gl+GbWwaHw3bV2a3NyOyA7CIszTv7DxPpxZ3aCyNsq/fsp6wUmbVoms\nmed3P33xgyB7gBNr64VfvIAw70siF5Ew7Hgqdnu3sm51qdq87HwCgtKdfm3L1mvl7/ysms0mNtZq\ntQoB4fz8nC4uLmBK4BBCopnfQTabJaJZ+CNHIQwGA4rH4zALLC0t4Tm+fPkSpgMiQrTDxsYGwh5T\nqRQlk0nUt7m5ic1/c3MTfX7+/DnqzWaz8IfodrswXRDNzBcsvJRKJfTLTfBUgeo8ncfcdJVYpJlD\nxW/G7no3BPXN0AiORfltef2mWncQAdlPGa/IE7t57tdc/IsVEOax7bplSwxDy3ELG7JrXwVBnXfk\nNVcdHjkej1F3p9Mx+RbwJlytVk1HLxuGAc3bMAxsxMlkElq6YRgYw4uLC9NGnM/nkdNgOByCdbi4\nuAAzMBgMLvkJsCAyHA4hoCSTSYQ83rp1C+2fnp7S6uoq+nJxcQEhoVgsYpxPTk4geGxvb6OM28Ln\n5F/gFr6mIrxJ2Pmt2H0O+g44CajvU1jxalvVpis/S8Zu3vXiKgQOJ+VFBYtgXbwUGVWobvaq1wVx\nzFT1YwkCr/3E+p2fMdQ+CBoaGhoaGhqX8IthENykL7+5yxdho5+nXFi2Wbc++PHUduqPasgpP4d2\nu21iCti3oFwug03o9/uIOlheXqZIJIL/s9ksohii0SjKxONxaPy9Xo82NzeR/bBcLkPTj8fjaD8W\niyHREUcu8L2MRiMwABwNwfexs7NDRDNfCQ6ZXFtbQ1+IZuYP/r/b7aJNzvJINIt84LqWl5dhLgkS\n8ucWpmi93kkbcvpftT/S1h+E3ZqXEXPrl1+Tgcr3QcxyfsuFBT9HQoeFIAyAl9lTrkXchp9no9qX\noOtuUFPyIvoStNwvRkAIAieBIUyHsUgkEtoLGYRqDKOMm4Di9BLbOYURzTZC3iBPT0/xW61Wg92/\n2+3CTl8sFuH8NxwOKR6PQ0CQMAwD+QlWV1fhT5DJZGh9fR1j32g00LdkMmnKsigFBxYWptNZ5kbO\ni9DtdpHjYHl5GeXj8ThSOLdaLfQllUrR8fEx3bhxA/1ks0S9Xkd+hFgshsOmbt++jXteX19HX4gu\nhzMyrD4IKguyk23SzcTgBlWThSqkyc3LlyVo34JcOw/dHYaQ77f9sP2oGGELNyomJ9W5aV2L/M7n\nec06Tu9TEJNf0OtU++YGbWLQ0NDQ0NDQuIRfFIPgRYOqhv58qJ7djLBMDm4anzyuWKWcLCPLTSYT\n0OuDwcBkPqhWq9COz8/PwdxkMhmEJebzeVzDtDtr+hKpVIq+++47IiL653/+Z5gCCoUCLS0t0cnJ\nCRHNkiMxUyGdGWOxGO4rkUjApDCdTimRSKBv7XYb2n2n00G0xe3bt+nNmzeo66OPPiIiouPjY8pm\ns3C0lOaPdruNsRgOh8jK2O124Ty5s7ND29vbcIx88+YNIi+i0SjGZDKZoF43r2U3DUaVNfIquwj4\n7Y+KBhhES3RyxFNlbcLsixWq65sdoxm2GTMo7Oagn4gClfXKTYNexP27te+37XkdNv3iFyMgvA9b\nngrCePHdPMqDvNhO3q0MudnU63UqFApE9G4BsvNkH4/HWHAGgwHMCK1Wi6rVKhHNNsFarYb/B4MB\nNkLDMPA5FouhvPT6NwyD+v0++iZDCAeDAT1+/JiIiP71X/+V6vU6Ec0EDGn3L5fLOMFxOBxC+JhM\nJjBrsHDC32ezWfS5VCpBQGm328hpcHp6irru379Pr1+/JqKZGWJ1dRXCAxEhcqFQKMDXwRrOyUJI\nv983PYO3b9+irvX1dfrkk08uPT+rgOfH7u70vd/oBVVBxA12baqYK8Ja5IN4q/vth5vpxO99fMh5\nD/xS/Cq+BWFA1QfHrYzdvQV5Z/z0164fbmWCjp82MWhoaGhoaGhcwrVnELy8VhdJmUnJbFGUZhhw\ncvYiMtON/Lnf70PjPj4+Br3N10uNnst0Oh047LXbbWjD/X4fDnv9fp8ajYYpoRBr66lUCvkN0uk0\n2ue+8X0YhoH237x5g6Obm80mHAnb7TYcGXu9HiWTSZgV5P33ej04CfZ6PTAAhmHAJFAoFOji4gJU\nvmEYdHZ2RkREN2/eRL2JRAJ1vX37FlETvV6Pzs7O4MBYq9Vg7uj3+2BAhsMh+lyv13FNvV6n8/Nz\n1P306VNct7KygkOkkskkmBGpScokTTyW79uLnhE2s6GqdYapzak4n10FFhmREMR50O53+dcLQZwK\n3cp5OViZMQ/mAAAgAElEQVR7sap22rpqGT/9mtfk5dSXoLj2AoIKnKg3uSlehX/CdDq13aSJgi/U\nXpPY6kEr/0ajUdOLywcPxWIxbOrHx8f02WefEdFssxkOhxinwWAAG3qlUgH1PhwO4elfr9fxeTAY\nUC6Xo1QqRUSz8D+uS34vzRU8Ztzf8XiM6/b29iAUDAYD2P2j0agpOqFcLsPkUCgUsMHfvn0bkQOx\nWAwb7OnpKd2+fRv3L/0GTk5O8Nvh4SH6UiwW6fnz50Q0MzFw+5VKhR4+fIjfNjc3UaZcLkNAKpfL\nplBKLn90dETlchlC2uHhIcbz5s2b9Lvf/Q73xXVNJhOYLuLx+KXnrLLYzWubtYag+S27KDjdl5vX\nu5/6nOA05n4UDLc2g0ZKBRlrr8gl6+dFet1b1zQ/7XoJkXYmBDf/Hic4jYvd/0FgJ7yFJRxrE4OG\nhoaGhobGJVxrBkFF6p5XQnPTJtycsFQ9VRfhkSqpT6lRWMdrNBpBM45Go3R8fExE75gCIqKDgwPQ\n6P1+3+S5L00R9XoddbVaLTj85XI5aLbJZJJKpRKuKxaLuE4yBbL/hmGA+h+PxxSPx3EPr169okeP\nHhHRbPwePHhARDM2gDXwbrdLjUYDGvjbt2/BNMgzHx48eAAtf319HSYSwzAol8vhIKeHDx/SwcEB\nxoxNCT/88APq7ff7dH5+TkREH330ET1//hwRCpFIBGN29+5dXMdplolmuRq4/9FolHq9HhidVquF\nZ1Mul+nHH38kolm0AzMgRITPkUiE4vE43b17l8KAGwPh17s8TIYhbIr/Q3V6DgrJMMybyn1e1mEe\nqDJdfh0hvdoKwqD5aSsMyHVTxSykgmstIHwImIfGClLGyTtWeq7La6QNmk0HTMtHIhHY2ovFImjp\nb7/9Fl7z2WwWHvnRaJSazSY29Wazifb7/T7KjMdj+BMsLS1hgx8Oh5TNZkGxSwHFCg5TlOc1GIZB\njUYDAstkMsHGf3BwgPMWarUaNv5EIkGJRIJevXpFRLNNmTM29vt9lNnf38dmX6vVMJY3btygZ8+e\nYYM9OjrCOBUKBdR77949bPbRaBT1Hhwc0I0bN9CfVquFut68eYMoiMPDQ1OWRjaJZDIZuri4wBgO\nBgOTiYeTLjUaDYxrNBrFuI5GI4pEIhinUqnkSFGziSiZTF6idVVDsIgWY493WvidTGxhRg7Ztet2\n/bzmGS6jcg/WpFl+TA1+BTqvMvPCyafETUFblD+Nk4nBrn0/fglugnLQebJIaBODhoaGhoaGxiVc\nawZhXolROiW6nYan0mYQ71zV61Q1Er7u2bNndO/ePSKaxddvb28T0SzSoFwuQ7uvVCpgGKyx/zw2\nvV6PXr58SUSzSAN5TsFwOET5XC6H0xBTqRSuyeVy0Iw5vwKXicVi6LM8QXE6nZo0IdZsj46OqFqt\nQmufTqfQoF+9egVtvF6vw9O/2+1Ss9mERl+pVHCva2trYEe2trbQjjwX4e3bt3T37l20k06ncT+H\nh4dgAw4PD5HHIR6P4/rNzU1qNBpgANbX18GAbG9vIyfC7du38TkajSI1c7PZpJWVFZTZ2NiAuWNp\naYm+/fZbIpoxAzwvrOMai8VwPzJyhJ8J4+9//zsRzcwtHDUxHo9NSaTCoG6dGLBFwS+jEaZTHZEa\nAxP2/VtTcltPJ/XTj3koaqc6F1FmUXBzjAzCDlvrXRQLEMYYXmsB4UOF0+buZpead5JEIhFscNVq\nFUJAs9lEiF6n06Hz83Nsnq1WC9Q3EWGDYy95otlmx/+zDwBvMIVCAfcQj8chFCQSCVPIIMP63Xg8\nNm1qbFu32s9++ukn3NfJyQk2dbnw1Wo1CA4HBwem0MxCoQC/geXlZVDxL1++RJhgpVJBv27evIk2\ndnZ2aH9/H/UNBgMkTdrd3cV1GxsbMNc0Gg34HJydnVGhUIBQVKvVUFe73Ub/E4kETD9yLFKpFFWr\nVZg/BoMBMinWajVs5GdnZxBcUqkUfChGoxF1u10ILDIzZbFYxDzJZDL0zTffENHM9PLw4UP0ZXV1\n1ZG69oqi8YKqbTvIYreIhVf13XYrLyNKvNoIA07mBj8U/TzRGvPCzzq56E1XdbychAc708Uixsqv\n35wTrr2AMO8g+z3p0Yp5Hq51sQgyqWV5Xvh/+OEHbHbNZhP31mw26eTkxHRqITsmShv29vY2Nrts\nNotNpN/vm/IVxGIx+CMsLy/DMa7b7UJYmE6nEFwMwyDDMPB/JBLB+Pd6PfRZZjh8+vQpBIRWq0X7\n+/uw9WcyGfrhhx+IaMYusOCyv79PX331Fdp48eIFNtLRaARBYmNjAyGPg8EAWvvBwQEyGR4cHMC3\ngmgmpLBQsb+/D+fCfr+PkM+1tTVsyGtra9Tr9SAgZDIZU1ZG/ixDKafTqek0x9XVVQgMy8vLyJGQ\nz+dNY8kMRLPZhCMkC44///wzEc0YHRYeVlZWMC7FYhGpqg3DwHNdXV2l1dVV27S8EnZa1iJ9Eq4a\nfmzLfkJGwxoX1TDtoG2q9NnJqS/oPTqFoKpARfgJ0ke3ee5U/7wMjB+Ezc5pHwQNDQ0NDQ2NS7j2\nDIIfuEnZbjRcEKhGIXiVddNG5G+TyQQa/P7+PrTRBw8ewCP+5OTEdNyw9PZuNBrQUm/cuAHqXB6c\nxOYFpshHoxFYh0gkYgrNkywFj61hGDQcDqGdJpNJXFepVMBaxGIxaMM///wz7e3tEdGMkudwP6IZ\nrX56eooybJuvVqvQmDmKgdu0Jjri+0+n0whzzOfzYFa4L8wAFItF9GdnZweJltLpNMZCRkTwZ25/\nNBrBlNBsNvHMOp2OyVeDxyydTtNkMjGZjJjdaDQaptBGNhdFIhG0l8/nqVarYdy+//57mIyWlpZQ\n7/r6Osp8//33GBeOeuC60+k0fnMKoXWbs4tkEqzteGmgbhFBTnW7UcfzwGtdcOqb9chvp4OY5tHo\n/ZghrkpTJnIf86BshhNTZPf8nULW3dpxmzthvxvaB4H8De77PswkiKOS6kOORqO0v79PRDO6+/vv\nvyeiGcXNAsJkMqF8Po+NXFLU4/EYZoFkMokNbmlpyRQ+R0Sgr6UzIackJprF5/MmnEgk6NmzZ0Q0\n21xTqRQ9efIEdbOw8f3336PeWCyGuvb39+E/MBqNKB6PYyMbj8eg9UejEaj3SCSC8pPJhMbjMd25\nc4eIZgch8X22221symdnZ3Dm3N/fhz/GaDSiSqWC+9nb24Mz5Js3b0w5GnicpfNjoVCgWq2GfkoT\nwdLSEjZuwzBMvgn8+ejoiOLxOJ6ZFMQSiQRCNvP5PAS5SqWCeTMej8kwDJhV5HzqdrsQcFjQ4jHj\nMb937x4NBgNT7gtOby1P48zn83guMsyScdUmBtXNI4z6FtWXMEOo5x1/P2GuQTGPM6Nfx0sVOAkZ\nQdqa15Ss0sYi6tEmBg0NDQ0NDY1LuNYMwqIoLdV6nejKsDxI/WA6ncKZr91uQ8t8+fIlTAe1Wo1+\n85vfwAt+MplAg15eXobWLPuaz+fhFMhnArB2++rVK2iwDx48gJZ6eHgIZqLT6YDuX1lZIcMw8H+x\nWIS3/97eHrTsyWQCjZU1aL7HZrMJrZXvifvJbRIR+nxyckKlUglU+s8//wwHQMkAlEolmA7G4zFo\n+FgsRt1ul168eEFEM+2YTRHRaBRae6vVgjOjPCPi9PSUotEoxvbnn3+GBv769WuUqVarMKusrKzA\nXJJIJGh/fx+OkQcHB4hCIXqXUGk0GsEM0mq1EHLKzAabbz766COM08rKCu6z0+mANZIZMrnP/Gxi\nsZgpKQ/Xy6wMEdHz58/pk08+8fVuhql9qmrWTmYI629B+nIVVPt1cfycNxwwjDKLGCu3qDS3OaAS\nLfKhOPZeawFhHvjx+lXBVdlZndokemdC2d3dpT/96U9ENLMZ88aRSqXo5OQEwoM8TZCIQBHLbIXD\n4RCU+MnJCS0vL5uiBVhA6HQ6oKXZM5/bYBNDKpWiVCqF/2OxGKj7p0+fYuOSL4cMhRwOh5RIJEy/\n8T2PRiNs9qPRCBtnJDJLbfz06VMimplHmFavVCrYuM/Pz00RFYxisUhnZ2cwK5yenqJMo9HABt/r\n9eC3UCwWQdnzZs4Cy3A4hPlDhiOmUilc0+l0TL4h0+kUwler1YIgkUgk8Gx2d3chCE6nUzwjNgPw\nhi8zaRYKBXzu9/swCzQaDZQ/OzujRqOBaI9cLmcKg2XBodfroc/Pnz+nu3fvmjJDesFP+Jqka/3C\nqR27BTmoF/284Z52v4UlcHjZ0FUFK6LZehM23e1HMbP219ofP/ei2rZdvU798Ts2KvPvqqFNDBoa\nGhoaGhqXcO0ZhLliPC2RC17SX1BJPizayC0GdzKZQIP8/PPP6X/+53+IaHauAlPqfL+s3Q6HQ5Tv\n9Xr4/eTkxJQcSWYr3NjYgNPi0dER6qrX69Ayj46OTOcdsPNkOp2mXq8HpiAajULTl0yGjMgYjUa4\nntkD1nSTySS06eFwiO+73S7YhFQqRd1u1xRJwQzHeDw2OTNyeXm8MtfP99DtdtEfae6o1Wqg2Uej\nETT2wWBAzWYTppRarWZ73PNoNIK5ZDqdYvxSqRR1Oh2U6fV6GJvJZGLrvBiNRvH8Wq2WSbPq9Xpg\nSLa2tlDv0tKSybGQn8f5+bnpnAb+n9vnZ97pdNCvb7/9lv7t3/4Ndc2bEyHs61U0M7/v+aK1vCD1\n83OyOoyqOEaGOTZhgNv0is6YR+sO4xn6YST8mKSdcioEeTe4vMq7+H9CQJjn4BKv+v1QY37gd0Ed\nDAawOycSCdjwh8Mh7MQcyifrY6Hi4uICG9z+/j42q16vR2/evCGiGV3NlDfRbIPjseU0vURmL3hp\ny261Wqb74YOEuB9cbyKRQL/kYU2RyCwsk9uUJ9MNh0N8lqmGOeSSF8t0Oo0+cVQE0UyQYUp8Op1i\nzAzDoFQqBSpdbt6xWAzX9Xo91GsYBjb+4+NjSqVSEKSSySQ21Vgsho2XN3eimZ8BP4ter2eKVpBj\nGovFTGGODPabkG3w2JydnWHDePPmDfwO0uk0+mz15+h0OqbxY7OG7MuTJ0+QdInnjlPIHWM6NZ/g\naXeNG7zejUV41asoCWHZj/3W4WQydQrH8xIC5lVmFiFILPqZ+4FdW1cR7TEv/LSvTQwaGhoaGhoa\nl3CtGQQ3aVKmUHbTxu0kPj8eqF7XBaGZ/Di6SO2andxWV1eh2XEeAKKZxtzv902pinmc9vb2TDQ/\na7Q//fQTNBNOGiRzJ3AZqSVK6rvf75s0ScMwcK/yuOfBYAANXpoLJJvA7AGXj8fj+C0ajaIv8Xgc\nnw3DoGg0iuuk41y324UGHovFTG3KtMeJRAL3LPtmGIbJSZI18G63C7MOjxNr9PL74XBoymkgnTG5\nvUwmg/MUiGamAMlmsJNhsViE6aDb7ZqiCySDUqvVEEVxcHCAemV0SjKZNCVqko6J0+kUZgkZ7TAe\nj8EcFAoF+vbbb+nXv/41+uD0DnolprFiXu1rXkcytyRQqnUu6t5UYWd64HHxorIXlRCKv5+nnTBN\nUaomFr9z1Y8jpB3T45acyalNeZ1fM8y1FhDeB43nBqeXS7WtIPYz2Q77CsjzF+LxuImGHw6H8Kyf\nTqemzZo31UgkYtpQ+bO1PUn/T6fvzlxwOkmO67Y7/0JuIjLCRIY08j0w/S5t43KDlYcd8dkP8lAk\naYqQ4I0vnU6bNutUKgVBot1uY1PMZrOoYzAYoP+FQgFj3G63KRKJYCNPJpMQUmS/pLkhFotdMqPI\ng5y4fC6XwyIvTSTysKxsNkvtdtt0UBabO5aXl+nw8JCIZuYfNn1kMhlThkU5H+VJnfl83mTuYH+N\n5eVlOj4+ps8++wzlFhXyqPrOqGw8si5VRUAFfhflMEwUbhFa1gyYXnDy2g8bqsJbmKYL63OZR8hQ\nKRt0Xjn5I8wDlXmmTQwaGhoaGhoal3CtGYSrgB9pXoXecfotKKXG5U5PT+Gd32q10JZhGNAe2WGR\ntUPrOfHSYczJa1jGyyeTSdNpgvx9JBIxMQCyLumYlk6nbc9viEQitvUahmHKfSDNAhsbG6hrPB6j\nrlwuB09+/p8/Z7NZsAbT6RQsQS6XQ/vxeJzi8bjJ/MFjm0qlTCdVcnmZyIgdJuXpllwX3w/RTBtn\nR0TJ2vBYyjMvZEQDOwZOJhOYHojeJS7ivvI9T6dTjNn5+TnMIkSEe8nlcujL+fk5xeNx5H7I5XIo\nk0qlYNYYDAZ0//59IpqZuFQ09Xkh55IVbpraPJqXG0Xu1Qe3vjh543vVNS+cjvF2gir1HhRB6/Cj\nmausx251q0Bl3wj6jvh1YJ/nufyfFRD8TBIVW5yqPSvIxHG7njeSVqtlSmDDG0Q0GkV5q7/AYDAw\nZcCTGQvlZi9p7EQiYVpU5AFD0jdAhsJJKl/WJzMRTqdT03XcL1kXJ/yRGyzjzp07pqyCvHGxMMQb\n6dLSEgSJVCqFuhOJhOm4akmdZ7NZk4mCN9JsNmsyCzBSqRTui4/E5vblOMtnEovFYEbIZrO4l+l0\ndt4F+w2cn5+b/Ci4fK/XM5lVpFBmGIZp3vI8SSQSECr6/b5JWOXxq9frlMlkMGYnJycY00KhgOs+\n+eQTevjwIRG9ixSR/VRZeIPQu04bv9t7piIsqC6qKtdZbdZ+6/RrorDCzszH7fgN9bbCaT1chBnA\n+r/fddWrXrfrggoJRN4+BCr7gWr7XvPE73P5xQoI0gbn9wVVgZtzUtAJFWRBk/H9fMrf+vo6NpRI\nJALbMl8vY+dlG/y/DBmUjot8HW+GclOUQoXckGQoYSQSMflESAdE6RvB5bgN/ryxsUHVahUbqQz/\n29rawibcaDTgMMdOgbdv3yYic3rgYrEIu/na2hrGRY73YDDAKZbcJt93JpNBOGkul7NlI7gNfh6c\nF4H7wpvo+fk5sjU2Gg1o7BcXFzQajWhnZ4eIzAJOIpFAHgd5iFUul8P48xjxmPV6PdPGLYU1fmfk\nIVbsiCqdXvnz2toa3bx5k4hmmRx5jEulksmBU3XTCaLluzm8BdmMZfmrxCLas/P18QOvDc5rjN2E\nN+t3VqishdbnNI89366/Tv0Mw/bvt64gc9nLJ04F2gdBQ0NDQ0ND4xKuNYMgQxiDSnV+qTsVKXNe\nCdNPFIT87s7/P9J4aWmJ/umf/omIZhognxHw5z//2ZSciH+3fh6Px2AjpG290+lQu92GppxKpUxm\nBUlrSy98vn40Gpns+9JEITPxSUjv+M3NTRoOhzhsSvogSA16eXnZRJ3G43GE8Mn+5PN5HMK0tbUF\nZkGOCZtUJLvB2v10OjV9z/VytAjRTMs+OTnBUdIyokDWdXp6iqRF0k+Ckyyxfb9SqeAgp7W1NbQp\nEY1GMZaGYSBUksdMRn4wGyBNUdKLP5fLmbI33r59G3Njd3cXff7kk09wjzIaxgo/2pOdH4wKVG34\nqv4E1qgGO83MrR4nDTRMGt4OkjmQZkG/Zpl5/QKkT5PK9WEhyFwLoy63snb18Lk36+vrJjOf3TwZ\nDAampGVO/Q7Lh+VaCwiSvg4CaZsLm1ZUXUQYQdvmDfKjjz4CjRyJREyhjJwmeDQa0dOnT02nGcqc\nBtKfgBf+Xq9nMimkUilsarFYDAcf3bx5E7R+Mpk0ORxyXwaDAZVKJdjADcNAmzKTozzNkeidmYBD\nBFkQkELJ0dERNrvt7W1s0L1ej9LpNNqMRCKmw5j45fzjH/+IDIHSqZCvlY6eUoCw27yk3wU7Jcq8\nDDJjo/S14HTM0ozDYyGFH77Phw8fov/j8RhmjGaziWcUjUbxXIhmvipsophMJqZNhPtYKpUwruvr\n65TNZunGjRtENBMQuO7NzU2YPlZXV00mBScq2O43/t4KFZOdmz3aLy3rpGyEsXHaCTuLNivYmRjk\nZzfBK2zbuApU6gtiUnBrb1Fw84/htS2bzVIkEkGo8erq6qU6rGXkoXJra2smHzK/ULl/bWLQ0NDQ\n0NDQuIRrzSBctSMRkbPGo0r1qNanUpdVmt7a2sL/7LCXSqWg/bGToKTCWTOtVComzZKlWal9srQq\nz3zg8isrK+iP1ExkmCUfYsQacCQSMZk1WLuRWrrUeLgvbAoYjUYYk/39fdux5qOTWdM2DAOe+/F4\nHJL52dkZIgfkvfI9cZ+bzabJ6VJmqWRmYDAYYFwikQi1Wi1TOCTj/Pwc5XO5HPrSbrfBBvF4sllh\nfX0d5pJ6vY7jpuPxOJ7/2dmZyamw1+vh3rrdLvrW7/cxlicnJzDd7OzsgLW5e/cuZTIZ1H3z5k3M\nLck0SKiax9zg5oBmxyx4UcBBTIl+TRuyfRXnvfexfnnBa71yYoD4Nz91zQs/4+fXYS/svkvTAScq\ny+VyVCwW8a5WKhUwn4lEAqzn9vY2nLEPDg5QVzabpXg8HmjvUMW1FhDcohPkoKl68foJEZln4w8r\nFMVpEZUU+WQygXd5IpEwpRGeTCagt6QX/8nJCcwCk8kEPgDj8ZjS6bQptI43sk6ng81GesnH43G8\nAFy/PEiIf2u326jXenATt396ekqpVAovS6/Xgz283+8jDwS/OESzjVv6BHA9RLPNmjfLi4sLkzDE\nAhKnHeYNPplMYmxjsRiEDflCHx4eQijj0FAu02g00Ob5+TmEgkwmg/6PRiN8zydGPn/+HGPDkQPW\ng7ju3r2LNri9YrFI4/EY6bV7vR6eg8wKeX5+DhPHH//4RzzDzc1NWl5eRoSF9I+QPkCqCDq3nepw\nEhzcyjjVq+oboKIkOG1EKl74Xhut2/rhZE5gyGgVLwTZVFWemZNQ56UA2X2vAidB0gsqZVSFIml+\n4zV3Op1SqVTCO3hxcWFSfvgz0Tul6PT0FML7YDCger2O/+UhdXI85xF2tIlBQ0NDQ0ND4xKuNYMg\nk/ZIT+MgElMYDotheie7aRNODl1u3slEszwCv//97/GbYRigrqvVKpwZLy4uoA0PBgNo1oPBgLa3\nt02SLbMR1WrVdEQwmzG63S5YBsMwTFS2VbK3Zkzkz7I96WQ4Ho9BsTebTZQ/PT2Fw95oNKJUKmX6\nX3ruczsHBwem8yeYRpdnN3A/OVGQjPCQGRbL5TIiSpiB4GcQj8eRu+Dw8BBMRT6fh5Pk6uqqScuX\nZdLpNH366adERPT06VNct7a2hrr6/f4lD3JmhAzDwHVcN9HMRMNj+cUXX+CZLS0tUT6fN5mCVB3F\nvBg3Pxr0PHR8kAileeubZw0I2/lPFSqshyrC8KL3Mtt6MRtOTqfztq9yjXyGnU7HdNw7r7mRSIS6\n3S7YxpOTE9Nay2Xke1oul7E2VSoVajabiB6SJmaJeebStRYQ5EIooxlUIweI1EKBVHBVHrVOlJY1\nFMsO0WiUVldXQYv/8Y9/hD9Bv9+nv/zlL0RE9PbtW2zCvV4PG+pgMKCLiwuU4c2HyJy2dzAYYBO1\nplqWiXpSqZRp45Fe/EyRd7tdhCLyqYQyiRO3Mx6P0c5oNMKzZLMImyLk/SSTSYxZt9uFgLC6ugoh\nJpPJUCqVgpAymUzwIkqhoNFo4P47nQ5e4mw2a4qiGAwG8IeQAspgMIBQJVMVc1ZHvm46neLeqtUq\nQlij0Sjuq9vtmg6LkiaWSCQCUwYRQXDK5/P4fO/ePfzOlLTfTVFViLATqr02Fzmf3BZoOx8C1cXS\nrz3drv8q96aCoBS5at1E4fhDhEH9+/Ff8WOusqsriCCmEtnBYIXp6OiIXr16hfI//fQTEc3Wlkql\ngnWv0+ngwL1arQazYKPRwJoj3/Nnz56ZsucuLS1hPXTbJ/xAmxg0NDQ0NDQ0LuFaMwjHx8fw6B4O\nh5DEiK7eQ9iN7pJ9UemXmxOVCqVl9xvRuwRGTCWPRiP69a9/TUQzJxh2npHRCTLSYTwemxwTR6MR\nJN7JZAItN5FIgMaWSYaY8WEpt1QqweEwEomYzADseMPUOmM8HtuaMpLJpMl5TjIT0WjU5LTJpggr\n6yAPjuLyhULBFPmwtLSE+5Gmj1KpBIl/MplgXq6srJjad3p+zI5wXaz9np+fU7lcRjl53LNsXzpP\nyvFh501mUA4ODuD0ubGxgT5LbVsedmWnebhpy3aYx1znpx0nzT3I+yTLu9URlgZux3qGzRZYYc2J\nYL0HVRZIBUGcDP2wo15thgU/phP+7cmTJzDftlotrHnpdJoymQzq7HQ6WDeYNSWavbNssjw7OwMD\n+fbtW+p0OiYGgtdWlXtQGdNrLSAcHR1h4U6n09hgguYeZ6gmE1FFWItIGC+ppKgjkQg2+2QyCVtW\np9MxZULkflsFjPF4DOrMugDwhjQej9FGpVKhWCxmyvLHSXdkaKPMEMYbPMMaDsnUuQx5lOBkQBwV\nMBwOTREOdpQgH7DEfU6n06akMzKJEwsbzWbT9uCmXq9HhUIBbfZ6PZMgIzd+O3OXNYxpPB7DxCOj\nPSKRCBaK4+NjE9VYLpchcJ2cnOBsjmKxSG/evEG9LGwNBgNTOCbXwwiTllbZoFWFalXhWcW2fVXw\nEsA+FHiNiZ8xC8OnIUi7dnUtci7zenZ8fIyEcs+ePTNFiOXzeZgm5SmqMqprOp1CqM/n8/T69Wsi\nmr3LqVTKlHjNyYckqG+JNjFoaGhoaGhoXMK1ZhCklLW0tGQ68/59eAGrempLCvGqNQeruYPHzDAM\neNOurKxAg5aOYOywZndEszwBUt6H1P6TyST1+32USafT8NQleqc11+t1aLC9Xu9SFIGMcGCJezAY\nODo4tVotmCqsKaXt2KJer2fyJpasR6PRQPsyx8NkMgGblc/nkZio3+9Tp9OxzfEgTRmxWAyf2+32\nJact/ivbyWQypufELEGhUAAzYxgGDYdDk2OpZGqePn2KMZcna/IzdkNQJ68w5/lVadt+nOfmKWN3\nrRfj4ad+J3bVeiS0rD9I1IabScaJjXKaT1cxX+bpv9P9sPl1f38frKNkJyORCK2urppMvrw2GoaB\ntYt+Lr8AACAASURBVEXmUdne3qa//vWvRDRbf0qlEto/PT1FXTLHzGAwgOnCejyBlSm04loLCOVy\nGbZu9hq/SvixR8nrg9I988LNxhmJRGBi2NzcpGfPnhHRbALJcrFYDAuJpOjli8LhO3wNvxCdTodi\nsZhtMpBer2drLuBJzpB+A5FIBBu5k6c4H1XMFN94PMZLIWl9uTh2Oh14+p+fn1M8Hgct2O12TcmN\nmPpLJpPYuHO5HAQSPtCK6ft+v4/+yTzqsVgMYyY3616vd8ksxL+VSiX0MxaLoV8sFPD3w+HQFO3B\ni1A8HjeV5+dnPQDKzTbtF6q2aJWF3M/GOe9mvWi4vf9+orIWYSaxPrMg/gSqbfjtv1Pf3KJQggg8\nTtc4CbyRSAR+B9Vq1bS+yAivzc1NU4ZaXg83Njbga5BKpbCe3Lp1CwL+p59+SolEAmvT3t4e9sN0\nOg2fqrOzM5h56/U6lAUV8/m1FhBqtRokJpkpjyiYU4zdQSd+4DU53aRk1brmgZ1AI19MnlC3bt2C\nb4GMe49EIhSNRjFZ5ZjLuvr9vokZkE5zk8kE2nWlUkGZXq+HDbbX65nalLZ9GXJnGAY2uGKxCCFx\nOp2aykSjUeQY4O9kfbJv3H8WaqwStpwXMoRTMgDpdBrOfyxUWdsgmoVA8hhGo1F8rlarJj8Lvj+u\nm9u8efMmBBS52Q8GA2gJfHol3082m0UZ7h/3S4ZMWWGdw3af7a63wo+ToR8NPQibEVRrXATc2nAT\nisLss8q6Z21f9fnP82xU1nK7fi3qmTnNO2nrn06n8BWo1+u4Jh6Pg+nb2tqicrlsOrmVhYIHDx7g\nnT8+PsZ6FolEkNX0448/pkgkgjXq4OAAWVZLpRIdHBwQ0cwxkg9VazabJr8zL2gfBA0NDQ0NDY1L\nuPYMAktTTp6afui5q4BqH/xep0KJWTUzaxmWLIvFouM14/EYmupwODSxAzK0kCXhfr9/KUMia/OT\nycRkw2dYTQQM6S/Bv3E/s9ks7O7Shs8akdTi+bt0Oo17TiQSoNat2oc8vlna8KTfxWAwMEV+yMOm\npH+EZCSkrwLXTWTOCslRG6xNcNglEdHu7i60hEKhAH+C7e1tU6SGNIUsLS3Bb2MymSDy5+joCAyS\nHGsnu7QV0+n0kg+K3Xtn1bgYquYGGfLmVJeXnVi1HS+fIlVt2q091fc3yBoWpIyTj4IKs6D6DL3M\nKfO049Sm3feL3A+YbSWaveccOTQYDJAJldlY7k+1WgXrcP/+fdrd3SWimflcrrkcIXbnzh1qtVpY\nGzqdDtbWwWAAFnM6neKdlxFY7Xbb87joay0gtFotU5jjvAhybroTVBYuiSALpxOcHGe4Pt4IOp0O\n7FfSccXqWyAX/tFohEk4Go1MQoF0xGObv2EY2Pg4ZJInqRTq5BjLvieTSVzDIX88qWWq7clkgsOK\nZKw/U+xSUJCOgdy3VCplOxYs1PB30oYvwxSdTBF8z9KxkctbTTx8X4ZhwE7JtkSm/9PpNOa8DDnd\n2Nig//7v/8b33D47QvF9skDAfeGsiUx7Wu9F5o3gfnptkF5wEhycrrN+p/JOLGrxVzUDWJ2BrUKT\nXTkneAk/Kv2bF1JgVBEew+jHosys8woYTuYUWXe9XkfYcaFQMPlA8TozHA7pxx9/pH/4h38gIqK/\n/vWvJidDFhBOT09RJpFI0FdffUVEs3c5nU5jPfn8888hFBQKBThJbm1tQcBIp9NYCyqVCvwRnKBN\nDBoaGhoaGhqXcK0ZhI2NDdArS0tLjhLnvBKonfTM/9shiJSqQon68SCW9cqwwH6/D1r7hx9+oM8/\n/5yI3h0LbG1fOiIyGyDz+kuHP6m1Sg2atW92qJFmAwlJ48vvpAe/ZDTW19fBFKRSKZNTj+yXHI9U\nKgUGZTQaQTsejUam8Edug3+30wDl85dzYzp9F/7JSYck08D3J6+T5hJ5CJRhGKYDo2KxmOnoZn6W\nZ2dnYHay2SyYgUgkQsvLyzDlbG9vg22bTCY4cyKVSmEsX7x4AWcnGdJKNIvq4HG2Rri4wU7rdZrn\nXnV6Ucd21/jRRlXZjCBRGG7Xqzp6+kWYmr1XmKQTuyDhx1FVfsffqzx/WYccWy/WSgVu7XNU1cHB\nAc5JKRaLeM9XV1fxbnc6HTo4OED02NnZmenwOX4fs9ks3tN4PI737/z8nIbDoYldZAfyYrEI1uKT\nTz5BXe12G+tfq9WiBw8euN7rtRYQVldXsZBxeIcVYXqzzpuhkcj9ZfVamNyud/osN2PDMOivf/0r\n7FGPHz8GjSXNAmdnZ9gYpf2dNwT54vFkl20mk0lTu3y9FBoYckFhHwD2uOe6ZApkSXnv7u6iz7lc\nzmS3Z9+C4XBIhmGY2uG+RSIRCAUyzE8udBymyH1IJBJox7rYyDFgSpCFKN6gZUTBdDo1mcbYtshC\nAdHMftnv9/HiG4aBhafRaJjq5WsajQbGktuWY8/PvNFo0ObmJhHNKEkOy3r8+DH6tb29bRJkvv76\na/r973+PvkkByo8/jBw361i6bQJ2Zd8X/Gy8Xtcu0rfA+mzsPtv97wXrehjG+ij7sgiEbQYheree\n1Wo1vJtPnjyBItXpdGDC293dhRCxt7dH7XYbQn4mk8GhTP1+H+mWt7a2sM7m83mMc7vdpv39fdyT\nzLI6Ho+xhqRSKSgP5XLZlIfG896CDYmGhoaGhobGLxnXmkGIRCKQzOTRwR9CtIKqBmTVnFTqlEcZ\nS+98u7ZHo5Gp3mazSd9++y0RzUwMHB+bzWYh2ZbLZRP1zjAM45IzoZXC5+uk86LUMqPRqClHAX+W\ndL9sVx7CxJnG5KFQTL2l02mwAdlsFtp0IpGg0Wh0KRcD0YyuY4dJeSRzNpsFY8DMAl+3srKCz8Vi\nEWxMMplEkpN8Pg+WgOuRzrQ8zqurq/icy+WgJbRaLTg4HR0d0ebmpolVYbrw5cuXGP9+v4/yBwcH\n9Pz5cyKa5bSQXszJZNJkNuLv8/k83qVqtYo8FpVKhTY2NpBj4ttvv8V1y8vL9OjRI4ypX+rY+vu8\nzmMq9al60Pt1/ps3IsGrjNe9WNt2Yhut7MyiNHWrKdbLNBvk2fthbcK8T+sY8/t4fn6O9+bHH3/E\nO1yr1WAWePjwIf35z38motma0Gq16OeffyaiGVvHWv/u7i4YhIODA6yN6XQa7ZbLZXr8+DEy4Ha7\nXROjK89vePz4MRHN3m1eS3jtd8O1FxD4gdy8eTOUg5WI5jdLSBu26iRWWVzZ050f/HA4xMQ7PT3F\nZin9DIrFIs4f/+KLL6hardLf//53Ippt5BxWI7Manp2dmezpvPHK0Dkis3+A9OhPJpOmNJ/skd/v\n95G6mMtwXfIERv6f25ffS7q/1+vRw4cP8T1vfLJMqVSik5MT0Penp6cmGx7TbM1mE+VlCuNcLkeV\nSgVjUKvVQN/X63X0fzAYoEwikYCwwalVuUy1WjVlNZQ0oLQ58iFKyWSSTk5OTCYSfk6JRMJkT+T+\nJxIJCEjdbpem0ymeRywWQ1/y+TyuSyaTuMeTkxN8//btW7px4wYWoW+++Qb9//zzzzFv2+02wkyt\nkM9DHv7l18eAf3OzT6vW49Z+UIThd+Cnbrv7VRFSVDZZNw9+vyYOP6YH1cgBt2vdyqiW9zMu/K4c\nHR1hPxqPx1iDa7UaTs1tNBp4z4vFIo1GI0QY7OzsYN3odDoIFSd6l1E2Ho/T27dviWj2zj958gTC\n+2Qywbv59OlTCPIy2otP5OV+eUGbGDQ0NDQ0NDQu4VozCK1WC9IXkT1l58fz3881RGqSsZeGo6IN\nSdPC+fk5EuI8evQI9JT0SH/69Cm0xNPTU9BLRDPtUNLn/Fur1QKNZU2hLM9esJoIJP0vHRslpS/v\nxTAMWyc/WS/Ru3MKJpMJNFuOyOD+nJycQDKXFHwikYCzTrPZpFKpBNYimUyCCRkMBvAgPjg4wPjV\najXkC+Az1rlv0ov45OQETn77+/uoq1wuo/3j42O6ceOGKdpCRhGwc2273cZnGSnQbrdNZyPUajU4\n5p6fnyP3w/HxMcqPRiNoGexYys6c2WwW7a+trWEsNzc3Mc63bt0CS/HixQuqVCqmMxt4/t29exf1\nxmIxsB67u7vUbDZRB7MPRDNGg9t30/iDvLdBnPckrM57TmuIF7zuy+m3oPdr953T+LlFd1yV06fd\nuqma4vmqzMcqDAqDtf7xeAymstVqYZ2R79zOzg59/fXXRDRbS4bDoSlKi+uSuQ/K5TK0/WKxSH/7\n29/QtkxpH4/H8Q6+fv0aa1C9Xsc6FY/HwRqrMAjXWkCQ3pn1eh0LpNNLIOFls5sXdi+BDAuz65vd\nyxqJmDPH/fTTT7BNZTIZbAQy3OXx48dY7Pv9Pn333XdE9O70S2nrZ3rM6ssgkwnJMypkVAMfBEQ0\ne8FlvfxZ2h+5nKxPRh7IstJcIMMkZXKmi4sL0NqtVgsbUjabhcCwtbVF7XYb7ZRKJdB1m5ubJlME\no1AomMwAHB5K9O6lttZ18+ZNXLOxsYFnUSgUaDgcmug+bvPWrVt4WW/fvo25XCwW4bMwHo+pWCzS\ny5cviWi2+fJnaUNcXV3FnGk0GhiLTqdDhmFgDlWrVZNPCPf5q6++MoWvygxr5+fnuG51dRX3fHh4\nCF+HaDQK3wwWFnludTodCAnff/89/fa3vyUvuAnPTtdYv59HYLB+9htloBoCqeKT4cck4FcQcLs+\nCK0fFG7KlvU0V8a8gqDbdSrXdLtdSiaTeJ9WV1fx3t26dcukaHF0wnA4xLtQrVZpeXkZdcqzaZLJ\nJEwM5XIZvkIbGxtYMzqdDg2HQ6wbhUIB6161WsU9PH/+HBmHl5eXkdVRZk51gjYxaGhoaGhoaFzC\ntWYQNjY2oLXUajWTF7vEVUrCYcCqPUgTQ6VSgVlA0kW9Xg+U0d/+9jdIrJVKBTQw5+pmibfT6ZhO\nCZPUv2QGuC8cnWDNi0BkPpeA6yCasTxcF6dKlkmEmB1Ip9Om6AKm5OS5EKzJsgYuNWvppDcej0HD\nVyoVymazSEBSr9fBDhwdHeFzp9MBlS/jifl4anYEqlQq0ABOTk7AWtXrdVzTarVAD3LeBWYopFlg\nf3+fbt++jbp43o5GI5PG/vbtW1PaVa5LUoSSdUkmk2AwePzZxLG2tgbNpFqt4p6bzSbGSLIcu7u7\n1O12TYmjWJtZW1sDpTkYDGCGaDQaNJ1O0YelpSX0VSbn8orDdmL+/Hqnq2qdbpqmqpOgXR9V2Ay7\ntp3uTdVkEcQs4zW2qg6iYcMuAZObU6bK+AVhmSQuLi4oHo9j3+l0OujnysoKUh0/evQI7cRiMTB/\nzBLyeliv13HdYDDAOyjNp9FoFGtLtVql1dVV7AHLy8tof3t728S08ppz69Yt5Dt58uSJ5z1eawEh\nmUyCCm00GnjId+/eNXn+q74oi57k0+nU8UhVN9OD7Nf+/j4y6T158oT29vaIaCYU8YSs1+tYxGWS\nnMPDQ5PJQIYZyvz9Vns+tz+ZTCiTyZhsZjLkUPoqSLs5g4UB+bJz3cvLy9jgCoUCro3FYniRmL6T\noZG82RmGgYn/+eef07Nnz4hotkFubm6a7OaSymcBM5PJmF5iFhzK5TKtr69jg9vc3IR38urqKsrn\ncjnTeQv8Evd6Pdre3oaQtrOzQ4eHh0Q0E3D5WaZSKVOkA/szvHz5ku7cuYNDmba2tkxHPLOJ5eDg\nAELEixcvICDu7e2ZQjClGUialY6Pj+H3IOfn9vY29Xo9CCz5fB7X7e/vm0xRPBZPnjyhXC4HgSEe\nj2PM+BhxIm8TgR3mfU9V6WbrtX6UDK9NV1WoUTExBInicDMx+AnndGvrffsKXEU91WrVFP2VTCbh\nE7CxsYHv19bW8D4bhgHl5dWrV1QsFvGejMdjlI/H41gzptN3YcqVSgXv+cnJCS0tLeEdbLVa9NFH\nHxHRbD3h9fDVq1f0xRdfENFsnb5//z4Rmdd5J1xrAWEwGGDhSqfTGNxisWg6hGJRfgZ+FysZEkik\nfggU9//Fixd0fHwMzezp06cm6VM6DPI1hmGYfAZisRiEquFwaPpNMhUy8578zH4I/D9vONIfQR5I\nxEKRLC+1c667VCph4y8Wi9gQZX6CSGR20BRP7FarBR+MVCoF29rJyQk23kePHpm083a7jf4kk0ls\nXLlcDi90qVQybW7NZhMCS6/XwzMfj8fYrDc2NiCs7O7uol87Ozt0fHxsCrNk4aPVaqEv6XQaC8Lm\n5iZe7ps3b9KrV6/gZNRut+EDsLKygsxt29vb0OZv3ryJ8eO2+Dmtra2hjLz/VqtlEoJkCuhMJgNt\nPxaLYWym0ynKd7tdU+4LFky4zzy2RIQycp5wfXYI4rzo5mTmdZ3XBujX9h103XHyu3CqV2WTVt0I\nvYQ0p/r99EUVTofoEamlu3d6dm5joTJOkUiEKpWKKbSRhf9/+Zd/wfc7Ozt4/yRr+rvf/Y5ev34N\nR/NYLIYMsG/fvsW9dbtdrNnVahVKAStvvJ4ahkG/+tWviGj23vN6JO8lm80iNFz7IGhoaGhoaGgE\nwrVmEC4uLqCl1Ot1kwbE9mAie7taNBr9IPwQnA6Csrvm6OiI+v0+pODhcAjqSVLk/X4fdLX1qN5U\nKmXrd2ANM5S5/Pl7PiOAqWR5EJP1WGB58BJT0rdv30YkBRHRnTt3oPXLLGAcrUA009hZS69WqxSL\nxfDMG42GKeSSNdP9/X2wGa9evaKlpSX02Wrb436enZ1BS65UKqYjriXTMRwOIc2fn5+j/OnpKe6/\nXC6bkikZhoG52e/3TWGSTDceHx+bsify/K3VaqZ5Wq1WEYJ5eHiI687OztDHo6MjtH98fEyFQsF0\nFDdrIKenp2BnhsMhzFVLS0u4x8FgQMlk0jTnJJvA7cjzIri/ksWSB9Rw5MONGzeUWAMif0yBl2ar\nmkDHGvbo1aaqZu/1m6pmrhot4TcCw61vsj63+1IxhYThw+DGKDgxME5Q7QO/S9lslgzDgNksm82C\n+Ts+PjZlo+Uy0m9od3eXstks/Kim03dRRWdnZzBTjsdj+DodHR3h3WQTLa8HmUwG/lHRaBSspXU/\n4PLMSrrhWgsIL1++hGPV1tYWBsRpktdqNZPpwcnhaV7nFVW4UWcSsi+FQgH0cbfbNaX35QVZmghG\no5Gpbnma4Gg0MqXmlJn4eBOWm6iV4s/lcvgcjUZxHR+QxPVyv1gIkv2UjoU81kdHRyZ6TNL9o9HI\nJOTJkxH5Pt++fYsXIpVKmWg5GRYkHXZKpZIp7TL3pdfrIVSR2+T+LC0tofzm5iZMBGtra3guy8vL\nEHC4PFOPo9EIfZEmkun03YmV/X6fut0uxiMej+P5JxIJU3mZFVEeLtVut7GpR6NRLFLST0SeDS8F\nFE6hLMdZzi1uZzKZmBYhflZ8Hc+HTz/9FGXkM1fdtFWu5ev9UMxedLwfmprbVhEYVMI0na6TdYXl\nfBnEsdFvm4uEn6yNVvOEisIoTax8wB1v3pFIBOuh9J36+eef4Tfw9OlThBxWKhVaW1uDv9BoNMJa\ncXx8bGvK3NvbgyLB2Wu538lk0nSaIwsLnU4H6/zbt28hUKgICNrEoKGhoaGhoXEJ15pB6PV60AwN\nwzA5azCk81S5XIazGofceVFfqt7EV4FOp2Oie3u9nsnDnzV46VQntT+WalmDl+wCswNEM2aAywyH\nQ4yfZB+4TXaYm0wmJlqaxyqdTqN8t9ulfr+PPl9cXEADbrVaYIOm0ymcfeRhTdFo1BQtsb29DYe7\nWCwGSm40GmFe1Go102Epr169wthcXFyg7mazCWbg/v37oNvX19fp4OAA0vbe3h6YqpOTE2gMkuKv\n1WoY41wuR6enp9Ayzs7O4Gn87Nkz+vTTT4lopjGwg5LU5iORCLXbbVOfWbs/OjpCX+RZFtlsFmM8\nGo1ofX0dpqhUKoWxaDQaJhpUHtbFz9UwDFP41mg0wnOWOd6n0ynqSiQSNJ1OTcmW2JSysrICLcfN\nrDYPvDRBFerZj3bsdY2qicFNs1cxRfh1zAzixOjFPgQxs3j9vqi1VtXh0alcvV6n169f071794ho\nth7z+9hsNsHaHRwcmEyWzADyIXL8Ph8eHprOu5Hh5XI95+/j8ThNJhPTQWwcvZXJZMA0FItFMBD1\neh3r5GQywVrghGstIFi98Dm+NJ/Pmzzy2aNdpq/c2tqaK6aXr78KUwTX/fHHH5tO8JNpOlutFhZk\nGX7IhwURzTYHGbIm6x6NRtgUOp0OJvdoNMLn6dR8cNJgMAAtL6kuGVrJGxzRbBPsdDrw8B8MBqDl\npemh3+/DxJFIJEwHlciDoKbTKSb42toahI1er2dK+ywPJRqPx/Ds7/V6ePHq9TrGtVarYbNuNBrI\nhcBt8pj3+32UaTQaeCGr1SrKHx8fUzQahfnAMAzMRy7Hz5LNGPV6HeXZPMD3trm5iTGPRCKms+FZ\niOn3+7hHHkMWUOLxOEwBcmyPj48huDQaDVP4arPZxP+TycRklmKBW5qY2u02RSIR9Gd9fR0U63g8\nRkpreQKk1wZtZ/6T13l9J+uZJ3zQye6/COXBjwnEqx47fwpr/U6/OcFtzFTMGlaBwq4/fjDvuKsK\nq9xOs9mkvb09zO319XXsQd1uF+/5N998Qw8ePCAiMpn79vb26OzsDO9Qq9Uy+YfJzLPSxMnrJJv7\nWLGRpszt7W26/f9zrOzv7+M9H4/HWAv5fXeDNjFoaGhoaGhoXMK1ZhCi0Sio5FKpZHLEkh7tTFd3\nu13QOVtbW0oe1FKSdfMaVvGODgrWxjnJBTMCP/30kym+1umIaXnUrjQrSIrXGh0hz0uwev1LBzrJ\nQHC/4vE4JFb+jWgmMcs8DKenp6g7lUqZaDRuIx6P43MymaRYLIbnvLq6Cin91q1buE5GKjANzqxJ\noVDAdblcDt9LRzpJw3MmRtbaJTuVyWTAjhSLRdxzNBrF51wuR+VyGYxILpcznXnA16XTabAJMtfA\njRs3TMdFy7wBMvtkNpvF3JbMUrvdpkwmA+pzNBqZcipwvUdHR2AZOPKDaMYmDQYDMBqdTsc0H/nZ\nysiHWq1Gv/rVr8AU7OzswDHLeh5JELre7j3zo3H61Uz9Xu+nLtW4/DDbtWM9JQMYRhvW+lX7pPKb\nW/1+7iHoes3rRDabpVKphHctl8vRl19+SUSzdYNZv3K5DPPpnTt3oMFvbm7Sy5cv8a4dHh6ash/e\nuXOHiMymZGkGSSQS1Gq18J41Gg2ws5ygjWhm4uAkenfv3kXUxXA4pI8//tj1Xq+1gBCJRLBZxONx\nbFB7e3tY+CuVCmw+9+/fh8369u3bjqleJdWkkojD7jen/s6DRCJBsViMPvvsMyKa2bB5EsrUmm/e\nvMHCncvlcD9MKfM9pVIpU9pjGT4j7fkMzvYnDyGRCTx4E5HPQmYY5A1J0l2MpaUlbFayfvmM0um0\nyWTS6XTQz2KxiGyJt2/fNkVOTKdT0G8yuRPb14lmtnFut91uwwP44uKCisUiNk/p3zIYDPB9NBpF\nv5aXl02CD0ef8L1JG6D0NeC6BoMBQgHlpk80W5R4fpVKJdOc4vLj8RgLSj6fp3K5bEqYxAuKTPoU\nj8dhIhkOhxAiyuUyRSIRlJcCpjz4S6acnUwmVCqVMIYsHHAZCSmIeoWo2SGsTVXFxq96rR97uqpp\nIsw2ZRm/vgJBBBq39VDlN5X+L1K4ckKxWKR/+qd/Mq0tMkshCwIPHjzA+xOJRGCGYKWK1wAZKiyz\nuZ6enuJ9LhQKUCQSiQTWOaLZO8Rr63A4xKF+e3t7eJ97vR6+j0Qi9O///u+u96hNDBoaGhoaGhqX\ncK0ZhFQqBQnq7OzMFEcvHTdYqpIx/ex4Jc8isHq+E81MEazZqnriLsoUsba2Rl999RU01cPDQzj5\n3bhxw5Qq+McffyQiM0uQSqVMUmYqlTLR6tKjnceiWq2avNFl7Hyn0zEd8MO/xeNxSLzZbNZ0RoEs\nX6vV0LfV1VW0Mx6PcS+ZTMZkIllaWkI/5SFAvV4PGnSpVDJ5yg+HQ9OYSwaBGQqpsbRaLdz/1tYW\n3bhxw+QkJKMyWJqPx+O2qUslA0M0k/L5+d24cQP3HIvF0McbN24g78HOzg6Nx2MTU8Seytbjtdms\ntr6+Dmbk5s2bdHx8DC3n3r17qKvf70Ob6fV6YIC2trZgYun3+5TJZKDl8DVEM82GWYJ8Po8xG4/H\ntLu7i9/c5rxdLhBrdINkFpzOMgni1Mbl7KBKlztp9qoOd341cq/rVWj3ecwaqo6TKs/DzqzglxFQ\ndYxUad8NdmO2trZGmUwG9H0ul8N7s7KyArp/e3sb66R8Tz/99FOTyXZrawtsd6lUMjkj8vuQSqVM\nSc+ICO96u91G3xqNBvaGarVqio7gtZn3CDdcawGh3+9jsyuXy1iM37x5g4c2Ho+RGELSMW/evDGd\nbLeysgJv0kajgWtPT0/hDWqdwCpe0HYvisqiYgemqtme/Nvf/hY2+M3NTWxW2WwWD18mhuKFVybd\nkWeZ8yQ0DAP3k8lkQHVxMhwWvqz3yRiPxyY/Ba53bW2NptN34W/yzIh8Po/nl8lk4PUvMzT2+31a\nWVkxJerhe5YRKsViEf2Kx+P0zTffmDZTxmg0ol//+tdoh+dSrVbDhrq6ukqlUgmbf7/fR/tv3rzB\nvXS7XbywMgEVR4fIQ5kY3W4XQg3Ru1NINzc3kZ99NBpRqVRCf9rtNoSiRCJhaoeFopWVFVO2tOl0\nirFdXl42neLG3+/u7uIeS6USFjHpGU00EzB4gXr16hVMIJubm2j/7t27COEiMp/zYYXdIm71Jlfx\nLg9KMfv1gQhyjcr7TzQfle72e5gRAUEiJ1TKWfuv2me76Aw/bXqZMaywJp1bW1tD2W63a1pneOP+\n5JNP8D7JZEiNRoNu3rwJyl8K3/l83mRq5d9isZgpOdnS0hJ87JaWlnBdv9/HHigT3y0tLSGiOXnW\nxgAAIABJREFU4uuvv/a8X21i0NDQ0NDQ0LiEa80gJBIJaMODwQDUbaVSMdEwMr6dNavHjx/Tzs6O\nKVEQ4/z8HNJfrVYDdbq8vOxoRlCJjw7i2Cj7xuVZM3v06JGJypcn5v3pT38iopmUylRvt9s1HQvd\n7XbR7q1bt0wan0zHKx3sIpEIxkYm85D5xkejkeksBh7jjY0NGg6HqK/ZbKKdlZUVUN/1eh1SdqfT\nQV3sxMP3ubq6Chotm83S559/TkQz1oDpvZWVFTo7O4Pm3uv1TOwGs0vNZhNOevLEw48//pgSiYRp\nzGS8vxwLhsyPwCYFuxM8M5kMWA8ZH72+vo5xZXMHz/NUKmXKo8Aaizyl8vbt2ybasdfroX/S0zmb\nzYK1+Oyzz8DanJ+f42RIdupkDWhjYwP97HQ6SIC0vr5uSrUsHSDDhpcTcRDqOIgGKq9x05bdflPV\nmIMwACoU/7wmDrc8FvM4DjqZDoLmXlBpwykvg2TgpCmw3W7TmzdvTAnOmN01DIMePXqEMrw2np2d\n0XfffUdEs7m7urpKP/zwAxGZz62RzuTLy8v4vtfr4d3e39+ndDoNpsFq4uTvp9Mp1slkMglGmPM3\nuOFaCwgynFFS39lsFsLCYDDAhtJoNDA4Mp8+/8abgMweOJlMYGKIx+OmBDRE4YVMuZkonDAej7FY\nS49ymWSj1WphE1pbW6NCoYD7bDQaGKd8Po+J9+DBA1MmQa63Wq3ScDg0HffL5aV3er/fN53FwC+X\nzHpJZPYhabVaqLfVauG8gkgkAqGu1+tROp2GKaBUKmGzzOVyGLNyuYwNLhaLYePjumVoKHv0n52d\nYZ7s7OzghWIBg/vT6XRwr/JQJxkmKU0M3G8eW5kJUiY02t/fx3Pa3t6G4Hd2dkaxWAzCk9wQT05O\nMKbHx8doU47lixcvqF6vY2xOT0/p8ePHRDSL6uGxlefU/+Uvf4GJY2Njg8bjMZ5zNpulr776iojM\nJpJsNouN++uvv6aHDx+6JuRxgx/Bwk7wsjNJuEUjqXznBTd/ANX6rMKK3cbotFnalVERPlSEEich\nwk+9boKYU1vyN5WxdNrg3eB0b9ayvPkeHBzgPXn8+LEpqVoqlYJ/UKFQQCKiSCQCU9zbt29xOFOz\n2aQ7d+5AYLh16xbWifX1dZMiZJccTx4dTTTbn3g9jUQiEBBisRjWM2kyZmHGDddaQJASk4w9T6VS\npt+k/Ze1nPPzc8rn89BmO50OtMaVlRXT2fZsI1pbW4NNf2lpidLptKMGoxqj6zXxrZPWegqllHK5\nL4Zh4HOr1cKk+fLLL02pi09OTkyTiDeBUqkE277MFXB+fv7/2Huv5siy42o0y3sHoOAaQKPtTM+w\nyeGMTIgyD58iJIV+sagIhShKimBwSI7tHnZPdwMNj0Kh/ClvvofSSqy9sU8BTd2Hi3tPvqBQdcw+\n+2yTuXJlpgwGA7VmOdXuYDDQwep5npEJEW1st9uSSCRUqRsOh/r8TAxtNpuqVDDJcjQaSbvdNkJY\nOZMmJl42m1Wl4NGjRwbJMhQKadtisZiOjcPDQ93gV1dXtV96vZ6cnJxo33Db8vm8gUAxasWETc4J\nkUgk9DfP8/RZDg4ONBTp+PhY259IJIxwzFAoZGQv5JBJ9CUKNInMc2W0221VJKrVqt6TF6HDw0P5\nxS9+ocdgQXny5Il0u119h+/evZN//ud/1rZg/pTLZb3HV199JX/+538uLB+y6X6oJYjn/9DfP6RY\nz4f6qv+UcxZtUB+qyHzotbChutajRUqJ6xr2cX7Xcx1/0zp421DQRWit3zmLBPPp/fv3qqx/+eWX\nBvIYjUZ1093a2tI8BIPBQMmHiURC16OXL19Kt9tVDoHIlRHV7XZ1zen3+9rOVCql133x4oVsb2/r\n9ba3t+Xbb78VETPjKeayyNzgwD1u8+wBByGQQAIJJJBAArkmdxpB4HKxrA0hnE9kbk3DgotGo+rL\nWV9fvxayBgu00Wiolbi0tKTwcqfTUSs3n8/Lw4cPDVb6h0KJbNV8iPbtdxwXy4FlzLm7nzx5ItFo\nVDN0vXv3TrVPLtADhAB9gXa2Wi3pdDp630gkYiRUgmXObN50Oq19CdQG9xkOh3pcvV7XvuUiQhwG\nNJlMZDgcKgJRr9f1t3A4rG4FrlcgMn9XeM+tVkutXs7+2Ol0ZH9/X0TmED/ea71el0qlolY312/f\n3d013gEXweLCU7FYTBGZUqlkZGJjtxDOPzo60mfc2dmR8/NzI/KDERF2ecHdxKjN3t6ewayuVqv6\nzIVCQfvlxYsXCpUyZwJzCb8h+gfPxqVnga599dVX1xIisfhZkB9iqeL721iUtwmxXCS3QRo+xN+9\nCLLHd3+KK+Z/48phJNI+f9G78bv/bVCgm47/UC7Jh3Iqbtt/zPt6//69Ruv84Q9/kHQ6revl9va2\nzntGYV++fKnXevjwoa5zl5eX0uv1dD4DLRQRI6Fcu93W9eDp06eKACSTSVlbW1N0Y2VlRa/VbDaN\nkvdAE1qtlt4f6/UiudMKwmg00gfn7H2j0ciAuLFZFgoFrb2dy+VkNBoZ4WuAq0GyEhEjLPD4+FgX\nyo2NDUkmk5o5iyFe/iyyeOLeBB3eNOD5OyxkDx48MJQiDNTt7W2ZTqfaB1yBsd/vG6Gd6AsOH8X9\nePOGgsAVJGOxmJ7PqZKn06lEo1HdvJvNpvqwj4+Pjf7n9Mp870Qiob+xIhEOh/U5i8WiMenYPx6J\nRIywTe4ndsvwu5xOp/qcyGYpMt+QebPmOvFYKEBSxDmFQkHbPBqNjEJUvBHxpp7NZvW3Xq9nKALo\nH3adhEIhw/XD2Re5b3nMs29zMpnou0wmk9Ltdg0CIucL4XeDZ6nX6zIej41Nx2/s8qa4CF6+aVNi\nFxuOZ34CjuPPfkq5fT+bFOmnWPA4/9CU0rPZbKHCgvbY7bzJd+96HlebbvqdXWk38QTsa/Jvfhu/\n7T71c6X+KcTXRfwuv+yd3LfhcFjXrJOTE83YWq1WZXV11dhwP/74YxGZr21Yj46Pj3UTZzd3NBo1\nMtiWSiWdj2dnZ7rXHB0dGeRFuAw8zzPctOFwWNeG09NTvdba2pqe/+LFC+VQMKndTwIXQyCBBBJI\nIIEEck3uNILAjHDOfjcYDPRzLBYzMsTBsisWi3J0dKTa12AwUM0un88b+bU59z8IKr1eT2KxmCII\no9HIYO5DbO2VrQTbgvLTsm03ym3gOlj98Xj8Wigeu0XYAsd1GZlhd0E0GpVIJKL/JxIJtVrZMo3F\nYkZboSF3Oh2JRqNGwSH0ByMTfI9YLGZkMUQb8GxcHhX3YWQkGo1KMpk0+oezJwJd4uRQNiOeE0px\nzQH7WdCv7XbbaONkMtH7MwLBY4vDp8Lh8DU0AffsdrsG/M/vD5/hiuE+43ocHKbJxZY40RPfn8mQ\nk8lEkaZer6euBEYQ8vm8EXY5nU59x+4ihIzPcaFzbGXa1jT/z/fH/+hX282Ha3G7bNTAZekzYjGb\nzRa6WPxkEdLIz7wo46QrBJSTjdn34WNtq9mvbYzU2HITunCT64D78ENcDIuubT8LoyF+KA+7n8Ph\nsFrtTNJG2DxHL9mlmEVEfvjhB8NFCZLh+fm5tFotY13GPHv16pWSkUejkSKtHK03mUwM98FwONRn\n4PGXzWb1utlsViO32A3rJ3daQeDcB8ViUR84lUppp0UiEX0hsVhMNwfAP1wMCNBzOp1WpYLhas/z\njJfheZ4R+88T0g/G5AXOHsy82bgGLocy2sfw/e2Fj6Hj2WxmbFC8KXOVPhb28/P59qbKmyIPPoa0\nOcsiSyQScboY7InKfrpoNOosHMXhP+l02lB+7Paz4BjO7xCNRg2lgDerUChk9B+nisYx8CWywoYx\nB9iR+wjn8/PzfWazmaH88HF8DcyLSCRipIEul8tGmCc+r6ys6Dl8Hbh0MIY4VSsrGDwWs9msochw\ndVDuZ9647E2cP/N7suePnxuDxw2/s8lk4txgXco6b3a84LqUCha0cZGSb8uizcrPrWA/s60ksfLm\n50rhNruUKFsWuXtuIzelzebw8v/N/e33CeF+EfEfW8PhUKPa8vm8cgAuLi50/GNuwZis1+sakbCy\nsqLHNRoNzUVzdnam+QfK5bKEw2Hl8XCWVM/zjBBk8HuWl5eNqIfz83M9Z2VlRfewJ0+eqAuhWCzq\nMxeLRSPC6iYJXAyBBBJIIIEEEsg1udMIQrvdVqvn3r17hmUHpmkikZDd/0l09Pr1a0UOjo6OpN/v\nGxYgYJjt7W3VOpeWlpwwLPL9Q5vLZDKGxsownJ/VzxYUZ3zk7IOxWMzQpplAxrkH2DLq9XrG/dn6\n47aJiNOy49z5odBV0iWbKGVbUkxSZPIfZDAYGJAc90U6nTaIdNxH0H6hsTPzn4UtY/zGJazRT3w8\nf4/7c7+CPMjoAjTwUCiklnkulzPeH6yHcrlsRMUMh0PN3girBH3BSA8L359/C4fDxvPx+UwsTSQS\nxnjme+JZMpmMgfrY8D6uzbXpe72e3odRj2w2a9Sm4LHBKBhbkExqhDXNRb4gflkU2WIEeuByUdgw\nOlvZPL5tpMJl2dpzaRHh0mXNLrKG/dwN9ty1UZKbSJe3JU8vYvj75X65jSthUbsYxbD7xg8NuE0/\n2+4i7jN2Q/F4vLi40LW90WhoLhy4SUWuiN2A/5vNpmYpzeVyugexi5Azsa6vr0u5XFZXwnA41Dop\n0+lUXQm8hm5tbRkFnZrNpq4nqVRK97p0Oi0vX74UkTmhHpF4n332mbpIGMH0kzutIHACicvLSyOB\nDGAfhqBPTk50seHMdSLzhRxuBc6Ex37eXq+nsE00GpVEIiF7e3sichVCKGIuSMPhUAcHFnEMQuYt\ncKpinijT6VSfIR6PGxEaDN0yrD4cDp0uBigeflnlWEHgfrMnvUtBmEwm2v+9Xu8axM7XcUFbiUTC\ngMW5L7AJgZvAfnfXQsCbDYSVEnZRQFgpYw4G3DX8btnXD0jPVgLBgQFLGX2QTqf1ObPZrMKDvHHa\nHADmdHA4KbsVGDqFW4X7lqNC2BUFBSEej6vyzJyFRCJhKG9wrYnM5x/GCSu4LgUBwgoft3k0Ghmb\nICtMLDz+/Pz8fq4j9B9HbvhtSCysfC2C++3ndIk9f1xGBf7n9rs2WztSwm9Tt90lfpuo39pg39v1\nzIuUIltcz2+3cZFSs0jJ8TvO5f4Nh68y8XqeJ61WS7a3t0VkPjY47Bob7HQ61TkzHA6NAkvJZFLd\nElxRtVgsaltWVlZ0Xjx8+NDIgPru3TtVKorFon7PicqWl5c1Cu2zzz6Ts7MzXYO2traMxHfImFsu\nlzUz7tOnT+W3v/2t3FYCF0MggQQSSCCBBHJN7jSCMBqNjDKY+Hx2dmZAl4CKer2eHB4eisgcNkom\nkwq3VKtVtfpyuZxGK0wmE4Vx4/G4QrTxeFzS6bRqoL1eT8/nVLtctAbW502w5Gw2M6xuJrix1cRs\ndbbMOLUvE+bC4bBhQdkWAFuWHB0AsVnSDGOzsMXjZwniN4htTfA9mKTIz2NbRfzO+XwQDXFPdlEw\nSY2RFm4jIxK2u4FRCMhkMtHvAXUzIsLEVk7pzd/zczGBkwmUIuJErXK5nOFu4FwS7XZbx3M+n1cU\nLRqNKuoWCoV0/GazWWm322qZTCYTRRCGw6F+z0gPEARGCtiV47Is+Zltkh8jKn6EO/v9L7I0/cat\nnyyKDvCLFGCXy20SMtnW+yLL2O85bAKg329+CKKf1W4fY+ebsNu1SPzQEKBGfojKbcWFbvDYsJEO\n7A2Hh4cyHo+VQHx8fKx9uL+/r+M8k8loueSvv/5aUVORqz0F5/D753wnQCZWV1dlPB6rm5ITIu3u\n7urnfr+vSPW7d++U1HhwcCAHBweys7MjInMUHescp1ru9/tG5BpQcORDWCR3WkEoFou6+HU6HSMB\nBHJi9/t9zZDX6XSMhBXpdFr9POFwWM9hdnaz2VR4KZVKGT7nfr+v8E4sFnNWDOSB6nmeEXI3Go2M\nkDteUHmzsjdIXohsZQD3ZOGFJBqN6j1tuNPFjvab0BBuJ8NbOAehOLguhy2y9Pt9I2QSbYZvEN/b\nCxSL63ss1PycfoqQ7R8WuXLjoG85tNGGK3HM5uam0Wa0A+fj+fn+9sLlB1ezgsiKD0sul9OFq16v\nG/UsmA+Qz+f1czQaNXySUBxyuZx0Oh11i4hcRQBxVsxQKGS4UUajkT4nc1KgpOIzjxMbbmY3m987\n536yIyJcfWhvFnwdl+LhEtdYEhHjuRZFK7nmFo9rnv+2+Pn5cb4f14IV4ZtcjDeJn4J023Ndx7ra\ndBOfQcRfMeG22c+F/4+OjnTj3dvbk1QqZayt2MiZd3Tv3j352c9+JiLzDInlclkzuPJ6wMnRRMRw\nTeOYg4MDOT091VBrLvw0HA6NLKk4f29vT4tAZTIZ8TxP97BWq6XzrFAo6HU50uL169caihlEMQQS\nSCCBBBJIIH+S3GkEIZfLGTmmkU6yUCgYhDhoT6zR5XI5IwpCRFR7azabqj3WajWFZJPJpFq5tVpN\nVldXNccCE4bY6p3NZqrJIZ0tW1YMPdtWJ86BAIZ2wbpM7LNhfW4X7svf47MfecpmULMFxOgEW7cu\nF8PS0pIMBoNr1xO5Dte7zkcEg8uCS6VS2pZGo3HtWvys/Bxs9bFwdAu/G35GLgs+m830vaytrRnk\nPe7b0WhkkOz8krawW4gToNhtcEXLRKNRdYVxCmWR+bjHeEaEBe7H448TjRUKBZ0bpVJJrZStrS21\nbBgZAEHLlWPATijmciNwngIcd5ObivsPqI9rDLvIcPb5QDb8EB0XDL6IVLiIAMnC0To2AdNlKbsg\neT/UwtV+uy9s8SP58fe3SQhlry085rm9fm7G27gv7Odmt549t4GUnZ2dyXfffScicwu9WCxqFdWV\nlRU9v9vtyu7/RAegoq3IVYQZLPJ+v2+UXHdZ6I1GQ5P1vX79WjzP0/2BCchMxi6VSjpPY7GYItrN\nZlMSiYQSI58+faouk0KhoIRH1HwQme9xQEOABC6SO60gbGxsGDUT8OLz+bx2KMOwl5eXygBNJpPS\n6XR0UYtGo/qZoZput6ubTbFYNHxJqVRKE1iwIjKdTrVdKHAkMh80S0tL+rI4NI43C24LL0Lw63JR\nIF44sSlxmB9vXK5ES34JbFxwqwsqxWRhF4ktaGOxWDQ2dTsKwc+tYcP4zLXAbwyjn5yc6D1Q+4Hz\nn+PdsP/QXigZru52uwq5M5TOCZDS6bShLOAzZ/sUmb8j3JejcPwWarCmcT2OqkkkEkaNBywuw+HQ\nSA6GcSkynxsP/qdYF8Yu+hZQ5dbWlsKb+XzeeJ779+/rPPvkk0/03U6nUx0Lm5ub6tNFG1gRcCmI\n/F6xOfMCy/PUT5FmxWs8HhvvEHKbzdoPBuff7c+uucHtcc0z/myPdztxkd9x/L3ffWxXCJ9jb8h+\n4/EmPoBLwfXjA7iea9H5rntxW/EdK7m2i4qPw1g6Pj426on0+31jrQYPbX19XRMdraysyKtXr0Rk\nrizw3IzFYtq2RCKh8yGdTmsmRi6EVqvVpFwu6/9nZ2fy6NEjEZkrEsjSm8vlVGFfWlqS169f6zHJ\nZFKvPR6PVZG36wlBNjY2dM3gZ/eTO60gFItFJXKwNcda3fr6urHBo6Pr9bqkUilj42DCIjo9FArp\nYtlqtYwcBFtbWzogWq2WLrDpdFrv32w29Vq9Xk+Gw6Eel8/n1dKzLXFeeDlXAj8bx3qzleUi2YnM\nFSSEvtjn4Fn5r4iJjGCi88TEJOCsfjgW12IFoV6vG5kA+T4srkWMw/tsyWQyxiaO98QcDhzHli3O\nKRQKRiZEbg+Pk+l0aigWTP7BZw4/xOKMWGX450XmCwp4L5eXl9pna2trGuuMVNF4nmKxqNfqdDra\nJ/fu3TOQMmRrS6fT8vvf/177sFgsyqeffqp9jrYUCgUdJ6lUSvk8UELQZ7u7u9rOhw8f6lgcDAYG\nSdFW5HizgthkTn4vttXvGuc2bwaKG+YF/wbxIwOyUgBL/CbUwt6gWezzeQz6IRB2To7bciJY+Blc\n97fnjt0WV5+zpW9bxXYb/ZAO+93is60g2CiOSxYpCK53zn3barUMki2+TyaTks1m9Teu3MvVgXu9\nnnz//fciMicV1mo1PadUKhloJ2esZYMFbcvlcpJKpfScTCajawjnW3jy5IlyJdgQXl5elkKhIP/2\nb/+m/6+vr4vIfA1BSuWjoyNjzYUScRsFIeAgBBJIIIEEEkgg1+ROIwjMCEcSIZG5BQNfzHQ6VdY+\n++w5Wx4Evh0OC8tkMspt4Ix4kUhEWq2WMlg9z1N4iotutNttefv2rYjMrbeLiwu1urjcNHMNmBEv\ncoUI4Bic48cbYF4Fh9Xt7e0Z2iSXAebP7C7gLGDT6dQoZMV1LEKhkKH9ch5xJAy5d++eUYbUtma4\nQBT8dO12W63s6XQq2WxWkZ5sNmsUW4Jlz9kC+/2+LC8va589evTIuDZChFqtlmrW7CcPhUJGgSj4\nKkXm4wF9EYvF9P6VSkWf/+HDh7K3t6fPvLS0JN9++62IzMcvLPVXr17p+1tZWdHxC/QCfRWPx7XN\nb968USsA9Q9wDlsZg8HAgLvBgh6Px8ZYgAW+sbGh1geyV2I87Ozs6LXZ5dZqta5Zkxjnts+arUZG\nGewMd37uJxd0zvA60AhmsbsQCP5shyguEpc/3s9itX/j8/k3GxmxOREucd2Ho2Zu4i3YwoiDnYQJ\n45dDrRmlwPF+qIuLE7VIFrk2Xb+5XD2u9/TmzRujvDLWlnQ6LUtLS+q3bzQa6orzPE/XHF5bUqmU\n1Go1I5sonjMej+t6Bv6CyHzNwd4Ang7Wo1arpesU7wHxeFxRbF6/p9OpLC0tGS5EtJ8jknjNOjk5\nUTe7K0TbljutIKRSKcPPhA2UIVnOlihytWjVajXJ5/MGrMwbMcOtdlY7kfmC2mw2FQqORCIK38fj\ncXVleJ6n3xcKBalUKsYg4nwL8AkzvGZDcjxw7PA7HGfD9Tjm7du3cnBwoIs/bypLS0vqruGBEw6H\ndQBXKhXZ3NzUTYmhs+FwqBtks9nUZ0ylUtdyAHCqYs4DAD9fvV7XAV2r1dQvt7e3J6urq+qDW1pa\nUncNbwi7u7vy4sULEZnHIz99+lR+/PFH7XNW0D755BMREfnjH/9oFHHicbWysmK4bdB+Dlkdj8fa\n5nq9ru8AmzveLY/HSCSifbu2tqaTmuFJKAhQ+paXlw0OC/qvVCrp+OfMa/weReYKExS7arVqZDJ0\nLe6DwUAajYaOk0QiYRCe8D273+CiQZv9FNlQ6CrkkDcb21Vm81Yg0+nUGKsunoJ9HxZWVmxIfxGs\n7yJfujgELHw99pO7jrF950w+9OPnuFw4LheFHwdAxCRHcsG3cDis/czKsk1stfvDTynzk9u4UmwF\nx09BsN03WLNev36tG3a73VZXXDablXA4rGN4e3tb8w1cXFwY+8FHH30kIiLv37+X6XSqygNnzWXu\n2mw203ne7XZVCRCZz2Eu/gSFu91uG2HzkMvLS21Xt9s1wtx///vfqyIxGAx0bRS5IiS+f/9enxHt\nXiSBiyGQQAIJJJBAArkmdxpB4CgAhrg54+FoNFJrnuFtkeuFO4AmhEIhPSefzxthLZz0x/M8DTFh\ndvz5+bmSRfr9vsI+4/FYut2uUQgI6EImk1ELPJFIOEMGYZm5rBabsOiCB09OTqTRaKiWyZYWF1Gy\nrR9ODMQWBPdlKBRSC5ZrWTDTv91uGxEerOVz/Qh+F9Fo1Mj2x6FEodBVXQS2QJeXl40c6Yw0ra6u\nqltiNptpn29ubuq7rdVqBuqRSqWMpClcp4Ehck66BKtgNptJr9cz3FnoJ5tIZie0EpkjDtFoVC0F\nz/O0/xiWj0QiBnmVLX67Zj0TsXBcPB7XeyIBC+6H6+A3LlaDdnFdkEgkImtrazrO4vG4PudoNDJC\nIzGWeVyjDLWLqGt/5nHOUC+LjQhB+LMdHWEz4ln4WjwH2OK2rXS+Fr8zFju5mquQFD+LjQbwfe1I\nC1fIYjh8VaIdc5ETZ7nmI7ubGGlxETv9MpZyv9xERLT/t8Ms/YicTDTme1QqFR3L9Xpd/vqv/1pE\n5m49dpOVy2V1MYhcja3l5WW9biqVkkqlom6KX/3qV+r+Y5SAkx5xEr52uy3j8VjXo2w2q27uZDKp\na84PP/yg76XdbuveVKlUZHV1Vcfg27dv9T09fvxYz0eyNJG5KxPH4F6L5E4rCDygPc/TjkokEvoS\nPc8zGKgYHIPBQDzP0xeJcDIRExLKZDIG65zZqMPhUBdlLjaEwh8iYoR7TSbzSozsQ2IYiCF+wNUs\ns9nMKIrE0CtvsBw+xxO21+sZSo0N6+IcvhbuKSKGAoBzGA52RVGw62YwGBjpebl9DEPa12Kf9ng8\nNjZIG3JG//HGPRgM1E/HxZK63a4RAuoXhz6dTnVTm0wm+p4Gg4HBTcDEZSXi6OjI4BBUKhVVeOLx\nuFGxDUrN8fGxEQ8dj8f1nrFYTNOF27A1lOKzszOjehyHXw0GA+NZ0GZe0NLptCoOiE7B3MjlckZ6\nc8wTdutFo1Ejxppddvz+uMqk/R5ZyXVFOOD5eSzaTH0XB4EVWfQv3xP3w71c50NsV4KtBLjcIrb4\nuQF43vBvqVTK4FrhPU2nU6PyK7uyXJu2iBiKJ+6JNdQuRMTjh5Vdvw2e35O9qbO4opXsZ3ZFK+C6\ni7JCslsGfdbv93VsNptNo+pstVpVV+Dy8rKRWZffJdbmbrdrhC3yujMYDPR75CtAm3n9wfVxbQgX\nTzs7O9OKkcPhUDf2Tqdj9NP+/r62n7Op1mo17cOHDx/qfZi74CeBiyGQQAIJJJBAArkmdxpByOVy\najVNp1eJWprNpn6GBSky17hg8aB2ACyjy8tLw7KDlZ9Op424WYatotGoEYXAyY3gVgDLuDOhAAAg\nAElEQVSsjs9sdc1mM9USp9OpanQ7OzuG64QtEy4owuVqB4OBtuXdu3fO/AaXl5eqtYrMmbrQeM/P\nzw3Nki0NaKzhcFiOjo70N86WFw6HlXnPyXAuLi7U4sB1WGNmqx3ultlspuTNaDSqFnM8HpfDw0PV\nxs/Pzw13ByMX0P7j8bhUKhWDJIRzVldXtU5HPp/X7wH9iVxZrxgn6XTacMugb/lzJpPRa52dnRnW\nnOd5Rh4FvI98Pm9kdQQyBTSHrSGcwy4vtuC5H4rFohQKBYO0C2sqlUrp92wZ7ezsXEuAxYmaXIm3\nOB8EsloyCuQqRGUnB2PWuY0UsLiQHkaaXFkIeQ65cgW4LFYXghCNRvVYvicTIZEkx3VtPo7dBbZL\ngEtps4uAa1wwMRvvyK79wf1pf45EIgZyxO0Zj8c6bhkN8XMfoqQ5o61M+rXfhy2u6AoXGZO/c7kb\n/MigeJb79+9roqNMJqOfUZIZz8Proed5Skys1Wq6ZpdKJTk6OlKiYyqV0rnJYwY5d/A95nYmkzHq\nnJRKJQPBAbqI420BygMUhEmOHEWRyWQ0d8r29raurdjjFsmdVhA8z9PNIhaLGYsqMzR5QvIknk6n\n+kJ5cBcKBV3E4RbA+XiZCP/D4OdkMNFo1EjgxP4nVhBarZZuZPV63Vgs0M5CoaDXymazRnIchOCJ\nzAt/YLJXq1VnQSEoJFjMWcFgpuxwODSqgjEM2el0jIWc/bbof/YT9/t9YxFiiM2ubMlFRDjcB5C4\nyHzz5v7DpsaZ9Mbjsb6/cDgsrVbLgJtx7UKhoH46nizD4VD/R7ZG5qHwe8ZnZNZEP3NYIisVHPnA\nkSd83Xg8rn7J7e1tozb8aDS6Fi2A5+TMbbhfoVCQ3d1dhR5DoZCxwGPhiEaj2s+ZTOZaAh9WSnic\n8vMz3J9MJo1Qq0V+c5xjRzTYcDiuw5nr2EXA0DP3k83O502dXRd2BU7XRsYwPP63+wJzjjcovqcr\ngU4kEjEK+jC/xM6CiPk4GAwMVxrzg1hsuJ9dhjy3OL0v9x8bJf1+34DRIaPRyFhDk8mkwU/ABm1H\naNntdP3vFy1iKzu2Is3XwXqwvr6uSsHGxoaO69evX8v29rauTeyO9jxPk90dHh5qnz179kza7bYa\nMOvr67rvcLRWOBzW85lb8OzZM+n1etrnfM/xeKwKQjweNxR2TgPvp6Ty2CiXy/qcUErQrpskcDEE\nEkgggQQSSCDX5E4jCNPp1EhqBIuFoaJMJqPW4Hg8Nqzh2WymWt5gMFCNKhaLGcgCzg+HrwrSpNNp\nKZVKSvhjpi8X+mBSXKfTkeXlZSP1Mz4PBgPV0ofDoUGewflLS0tSq9WM4iC459nZmYEGwDJkV0O5\nXDas3nv37l2LhBAxLQmGl0WuE4ZcYidQsc/nBCAMMcP6YCuLk/nge7iV6vW6kneWl5cNSA3uGtti\nZVi7VCoZxFC8/2KxqOesr68bFhDXVmDUJBqNGrUQmJSXTqeN9+litGezWQNGxjMjpwET6xiBsV1e\n/LvIHHHhqAp+H57nycOHD0XkKgkVhFEqLtHNCAJIWiJz6wd9zvnpRa5byrg2Iy1oA4Stbvxvf7Zj\n3e1zXcx5F5SN7zlyxSbAuRA5JnNyKXi4GGC1ep6nc7vX6xlpu7mfOFU0E2D5npxSnqNI+Dv7eey+\nxWeOdhEx0RUunsal3DnunguvAfXjXDL8zjlyy08WRTT4uRvsYmuMVPF6hvm0tbWl5ywtLen6fXFx\nIQ8fPlTrOh6Pq8u0VqsZiCgS362srEg0GlVLP5VKaY6Cer2u82kwGGj/9Xo9A0HkGjLsfut0Onq+\n7ZZjku/x8bFBnMexFxcXSkAulUraxuPjY0U52C3oJ3daQeBc0jbbHp2WTqeNzFUQuAc4vz+OY79Q\nOp02wlo46oAXYs5rz4s9hzKC5YqFJJvN6iDY3983NniGDpntys/AizUSAaH9POjQF/V63YCyeYG1\nQz5doVCAfRk6hDB0uIj1zfwE9AnOZ0XAxVSORqOSSqW0z7rdroYV2UWR7IqBDMWzIsnfc5uY28HK\ng99mYytF3MfMLnfB62g/+5w5OqXf7xvQIy+QNsQqYvqMu92uZLNZ/a1arerC0Gw2DQUZ92feDKBm\n8EdyuZxzE3FFp6BtpVLJ6D92FzBcyu+CxwCPU9uHzxFBDKPb8CmehyORbKWANy++nv0+XBC5rZBw\nG9gVxG45dnex/9je3HlscZZPjtzCWLhJqYrFYsZ97DnLzwDlmdspYmZ25c3OVkJ43WRxuQFwT37P\n9m/2MYsyXnJb+Hqbm5u6fmSzWXXxVqtVI6rs3r17yjW4uLjQz6lUSt0Fb968kVgspv/H43E1WJh7\nValUjLHF/DJ2jXKdGF7De72efm61WroWZLNZI6lcp9PRPgcnRGT+vqD4vH37VjkISJi3SO60gnBw\ncKBa0mg00gEtMvfdiswHCjb+TCZj+HXS6bQO/Hw+b4T8Qfu3LV6OwU8mkzpZCoWCQf5iCxyDEKma\nOSUwW9AYKLVaTavxtdttvW69XjdILqPRSJWUs7Mzp28V12ZxWUY4D22G2IsOt5OvxUqBHQdua/Wu\n83lTtn3rEOZ74BzwEXq9nh6LqpciV5uYS+FgYin7kFOplPYrk8Ds/uIFlhUsTkfLoU+4Dt8fn2u1\nmk5iVjY7nc41f7DrWdj/yqRAJuThnthUW62W/OVf/qXehy0TvzHDGylbM71ez8jDUKlUdG6Wy2WD\nn8GIHmfo44WfFQHuM34H4XDYaCeHJ9rj1EUsnc1mhkVsb6i8qfNGzEgjZ2/kuH8bNeHrsiLJpEAI\n+EwukiMrn/zMaBsTGCGsYPA4dZH87I0V33P7XBs02szhuXw8zw0m0uFa/X7/Gj+E1w1+Zy4DYxGf\ngc/nlOzv37+XJ0+e6HEXFxf6Wz6flzdv3ojIXJHGmE8mk2qk7e/vy71793Q8c5bDSCSiY55DQ3n+\nNJtNGY/HRtVT7jMeP7weAqlDVlv0OYc9hsNhvf/Z2Zneo9vtqkLBY99PAg5CIIEEEkgggQRyTe40\ngnBycqLaG8NdsVhM/dStVkutnPX1da2dANgX5yQSCaPwEyQajaqWCihJ5CojHRCJx48fG79DE+es\niAhdYra3HWaENkO7u7y81GMGg8G10BRGFzi5DReVsrV/hp8ZwXBZ8MzNmE6nxv3ZAmTeh2198vfs\n8rAtM04MY0OsaNd0OjWgTw6zYv8rs36Zrc3JeTqdjmrjrKX3+30j6VUkElF3ViaTUS2d+w/3hdhR\nEFxzgt03DJEDxuTysojO4T5ldjS/Dz8GO1tjtluErQgOZYNMJhPjGGbXT6dTI2Mk8xY4cdTp6anW\n00gmk2qlffXVV/LTn/5Ur8VzxuYmuKxJEZMbwM/M1j0Y9nhG5gAwh8m2ehmRcUUh2BEtDO+m02kj\nWojv6SpWxudjjvohcnyebSnbEQ/29xw5ZHN9IpGI0zXJ45f7xUYmOOwWzypiJq7j9ch+zzY64uKK\n2GiK7XpiN6lftATGbLlclkqlotc6ODjQ37LZrPGeOJMhUMuzszNZWlrS8Xx0dGQkH8KY6/f72i+R\nSESh/X6/L9lsVtcWV+IqfM9cJ0TFof9s5AF9j7UBblKc7+fGccmdVhAODw/V55PJZBRSYfKbyNWL\nsslWyJ4lMiecsIsCCkYymdScBt1u11hE4/G4ug+WlpaMBYWz/dkbJmQ6neoAPTs7U98Yh6lxPDRC\nrPA89XrdIFAyEY0Jf7w48aDgtMUiV4st8xzYlziZTAx/tu1b5UWEv2cFgUmC4XDYWKD5ndnkI5zP\nJLtw+Cp2Px6PG2FivMmxD5UXsEQiYRDr8Bu/P2zC+N8Oh2RYGWJD4sPh0LivaxKzu4Hbj4XPxe+w\nQ9a4/WgP2sjKH/u9oZRgg8Bn3ngjkYhe2+Y3sCJmL/Z4tmazaYQm4p29e/dOIdmlpSW9hx2u5+dr\ntscZH8fX4FBlVhBsEp+9QfN8ZiWVlVr+zEXI0um0Xp+VSs6BwcRmJuOij11hjvw/uyEwt29SEHjO\n8tpkE0bZkMDvuBYrRbyJscLB1+ONnPvVdgH5uTv8+Ag8RuB68CNR8/fY4EulkpGThUMO8/m8Kriz\n2UzH6cnJiW7Q6+vr0mg0NIR4MploXpVSqWQQpSGcvRQkV6zV7C4IhUK6H3EeFR6LnU5Hcrmc7k9c\naZKVdybGRqNR3TNvk2o5cDEEEkgggQQSSCDX5E4jCAy3sPVZKpXUmhwOh6pJMUQPFwO0yX6/bySQ\nYIsP2udwODQyMQ4GAw0nLJfLhusAWmM6nVYIqVqtGmxlz/Pk3bt3ImJGNGSzWdU+2TKCSwLP88MP\nP8hnn30mIvNywQjZYUY7t5+1T5G5Nss5wm1LBWLDvUyyYguG7+cKc7RJUH7noG32vW0rgdEJRo3Y\nsufwSfzP18O7YMIpWxtsfaNdnIDH9TxMBLST9jCyMRqNjOQ8dgiuyFVWS0CMXD6b4Vq7XDMjE91u\nV+cJ9w27VTj3fqvVMsYct5kjD1ji8biRbZLRndPTU6NwDK739u1btcxGo5G6IYAMMOrA7WGkxWWZ\n4tn8LE22YF3WrB1FsYgwyZY1W2ls3duWucsaZwQI4rKg7fbz3LLheSbmsSuRr8tuDD/3A6MBTDIN\nh8M6tzCWGFHzi/ZgK5nFdqXg98FgYCCNrr6w78Pns4skFovJxx9/rMf853/+p4iIPH361CCmbmxs\naLGmk5MTJb0zguh5nkFgjEQiBlKJdZpD1TmBERAE9G273VZEmcdCt9vVOQP0AcJhkuxy7HQ6xjhj\nkiWQBr/1nuVOKwiJRELhFV4Ems2m8SLheri4uNBFcDgcGqlmeYIzDCcies7a2ppmuEM+A/iTxuOx\nEX6H63LkA/y3gPBZWchkMkbKTC4ixQv/jz/+qIvtq1evNAVoKBTSTUDkKgST4XWGnvGcrNRA+DgO\nw5nNZtLv952RC7yJiFwNPvYFY9HkUCpmxPP3vLjYihdfDwsUQ3X4TWQOr02nUyMklduPjZd9eRz3\nDfcCxgOHEmHzt58T7eG+5IWcGd38nDw2sSC2223Z2NhQVwCnTeZ3GY/HDWWPfY4ck82bXbFYNEKF\nOXID10ahKS7EhPtw2l/eEGezq2JnIvP5h7G9v7+vnxuNhkKyyWRSGeXggEB5mM1mBofEFUu/KMSP\nIxpcUTE4395g/MJWOYrExbq3fbysrNgcCp4ngJLtebLIV8zz1j7OpSDwWGTFC8/IChe7XHjOsYuB\nFW7mJHCqZfs47nc+3p73EF4b7N9Y7HfIn3F+JpORp0+fiojIy5cvdVzVajXJ5/N6TiaT0c14Op1q\nOPXBwYFRrKnVasne3p7eh0OVObMsGy/s1hgOh9oGXr/C4bCR6hp93mg0dG5hbWAXhx9vAe81l8sZ\nWS1vksDFEEgggQQSSCCBXJM7jSCIXFlqXMaWLT7WzAeDgWxtbYmIyN7enkEY4lhVhm1qtZpqf7lc\nTrUyaJuAa9iyDofDarFNJhM9JhaLied5BrEMWmqhUDBIVa6SyNBEkcnr7du3GqvbaDT0eZhwxkQi\nWAk2GQufWbOHldjv96/FGrsgZhtSZYvFPp6jALjcsAuGd1lP+D2VShkwHmvmXIvBJpZBGLpkyyoU\nCqllvbW1JScnJ7K5uSki87HBSA8ng+E8BjYygjHIVncmk9F7chSNyBVqdXR0JMViURNhJRIJIy8+\nx1AzeZSjJjqdjvbNaDTS8biysqL9++bNG/k//+f/6LUYNmXCHLef2dmz2UzbBXcNkKvNzU29f6vV\n0jEbCoUUkTs+PlZSVrfbNWqOZLNZPa7VaskXX3whIibSZVvJLPF4/FriLPQNkEZXHD2u0+/3DaIY\nowH2ffh7V44RFp4nImYcvJ1QzOUKsd1yNoriIiziufG7X74MJtDy3GBXDruBIBzJ4YrWsF00ED8i\nt912/t8PSYAwGsGfHz9+LCIiv//97/XYy8tLefz4sT4zopfwLEwgRyQcIti4nguPYc4+yWvgd999\nJyJXiYrgvjg5OTFykWDNaTabup5xIUK0AWsol6VeXV3VdhaLRaPP0S4gD4vkTisIg8FAO7RWqxmp\nYiF2RAPgmclkYhTOaTabughw0iT2ixWLReMFcvgU38PeEDHoVldXZTweG64MwKiFQsHwJ+OY8/Nz\nvT8WSigImUxGN456va7PZi8iDGmzb5HDmuywGPRFr9cz3DW84XNlN/yP6/IiysoaJwbpdDpGemn2\nbXIb7UgB/C0Wi8ZkwSbEG1yhUDCg4Hg8brTTzp6HPsNEf/TokTSbTfVb8uabSqUMFwsvohx5MpvN\nVJHlVLm8qYfDYcMNwm3B7/Y749BUpG0VMYvoQNnF83O0QD6f18/v3r2TTz/9VPuVlRXeiDOZjJE2\nl6FT3Bd8Cq50ym4RKFLr6+vqFkulUvLixQu9Z7fbNaIAsNjVajX1DXPVTBd07+IAsCzyWdvicjHY\nx9rH3MSotzd3O8zSdX+/uY37udws9necEtp2MfJ9+Z3ZUTU41k6sxC4THrP2s7vE733wdRcdY1/L\ndS/u5263q4x+kbnyyesxG1nv378XkbmCgOvWajUJh8OamfDP/uzPNCqu2+3q3mC74jgJWjgclo2N\nDRGZu7Bxz2azqXOjWCwq121vb09TJSO5GfY9LvgH5UJkPrfAaev3+7oW4VkXSeBiCCSQQAIJJJBA\nrsmdRhBGo5GSt3q9nqyvr4vIXHsF/AOSlcjcAmcGNCc66Xa7mt54aWnJgN6gCTLsCRKJH0mIrXFo\neCsrK0YyEYbVDg4ODJIhrOGDgwODMHZ2dqbnpVIprfPQbrcVsmq1WgYpC23h0tgi1+E+7hu24G3C\nFz8vWwcuIpMrvpw1c7SN4+b5Pvb54/FY+3x9fV1Jqr1eT+/P0RlwfXCqUy6kxNCzKw8Da/98Pe4v\nETHi3jmdLHLf4/7MCGcLnPuRxwgsB4xNzvdh5wrgNLdMMl1ZWdHn4VoCl5eXOk9ev34tr1+/FhGR\nnZ0djSjAtRmW5zTW+Nxutw2muY1U4f737983EsNgzI9GIx3LKKKDPkwkEupiQM58tAViW8+MWrA1\neZP1L+Jm07Nby48MuYhMCLEtbm6LbSW7UItFEQ12H7iex34vttvQzjviejZGEBjh8st94Pecrmd1\nCfe53zuzf2Ox3xFHDn3++eciMs9D8+DBA3W/zWYztcI7nY6itq9fv1aSY61Wk1qtpmv1s2fPtJR0\nJpNRNIHRJEbtOp2OPHjwQP9HUjSROYLBUUFAOt6/f2+sk81mU8/hNYxzuYhc5QK6uLjQOYe1ZZHc\naQVhNrtKVJJIJLQTmQW+tramkOba2pouGtlsVi4vLzXREVfZYtauHRkADgNXWxMx4XbeePiYUqkk\n+Xze8IcDLjo4OFAXQSqV0hd9dHSkAzyfzxvwOS/IhUJBYSTO8LeID8AcBJ5cDMOz/9a+Hue15/oD\n7NZhBi+UFWy4CIcTMZm2nHnNXlB5s1leXjbCAVl5Y6XIxbYWMV05NoOYeSPlctko+AUWs830tovS\noL18fzsJkR3hwuehLxuNht6fJ32/39f+t5UdznDJIbhcuIXdauFwWN1V5XJZ7wPlwE8RRv9zVjw7\n+yKPk0wmo33OCz9Dso1GQ6LRqLoVRMQopAaInHkBtnwIFG0fA4WCN1/AsrlcTj8z3HzT/fl7VxSE\nDYnbm5qr/Tbc76cI2VwEF+/IpYBwNAa3k893tdcWViQWbfD2s/HnmxQJl1vH71pQNi8uLjQKrFwu\nSy6XU78818kZDoe68fNauLm5KbVaTdftzz//XN1kqVRKDg8PRURkd3fXqFOCtSmdTssXX3whBwcH\nIjKfA6zYI2x9dXVV97Z4PG5kaeWwa44+qlarxtrIawvXJrpJAhdDIIEEEkgggQRyTe40gsCWbjgc\nVjSg2Wyq9pfP5w1NF1Z2Pp83YlBDoZBBcmQYHNdi4hQgcbaOWePG53Q6beRut2O4cb3T01N1l3BO\nhMvLS9X0UPoZ/08mE7VaOXa/2+0ali0n8AmFQoYVytEK7JZgFjwsJtR8ZwSBtWyG5Vlr51TLdqw0\npzR2JR2yv7f7Fu/cJqPyu2TLimFxJimCMIR7MhpVKpUUFu/3+4ogtNtt32qYHOkwHo/1HPQDnh/W\nR6fTMZLZ2DUW8J45CRPDpb1ez6gex+jSZHJVUfTt27f6Ps7Pz5UBHY/H1d3w5s0bvcfOzs41FIf7\nkscW14jg52RiGFugzK5OJpPGmPU8zyDQ4T2VSiVNLvb8+XMjvfEiK9P1G89FPyQBfcMIE1vDrqRD\ni+7pdwzLTZY1IxDoP6RN94sw4s88NuycDX4kR9fnmwTP1ul0DGv1NkTFRX12G+HzOcJlNpsZhFe0\nK51Oy/r6up6XSqXUfYkquiLzfkZOhEqlIslkUsl+a2tr6n6Ix+Py7bff6vcYy5yEbG1tTYrFovz3\nf/+3iMxRC7glPvnkE02aVKvVFN3jtOV4NuxpnIul0WjoMzcaDSO9OgjYcOktkjutIHBoGG/kl5eX\nysheWlrSjZfLI8diMQOKL5VKOgii0ajB9OVQKIZ3OOQnFovpxOPNMplM6iKMwk0M93JBD0zWy8tL\nbVc6nTZ865lMxijpyj4/O5wRn/l8O6GRK0MdZ29k/7PNAbAVCY4OgNihVByhMJ1OVfmYTCaGsgBJ\nJpPXvsdm2+/3NUSoWq0asDj8h5hkvBlwCB+uxVkNI5GrkrCoQ4D/WUFgP6sNEXNEhciVIsYhl7yp\nVyoVXWiq1aqRpIW5CsxaPj8/1+RC3377rS5OX375pfzsZz8TkXkyGI6+YVdGu902knbh/Z2dnani\nMhgMZGdnR8f9q1evVHlKpVJG/QB7cee+4XnC7itINBrV55rNZtcUPDz/w4cPdUG0fdm2UuoKnePj\n/DZ428Uwm5nJujgKgd/5Ih+467jbQOcu8VMqbsONWMRhuO15/J3fM9sRGty3LrcmrvUh/eH3LPZv\nrVbLmE+IOjg+PtbPOzs70m631f2QyWRUYZ5OpzrmOp2OKg6ZTEZyuZxms53NZsrdGY/HGm3D60S7\n3Va3NcLmoeQeHh7qXsVJrDzPU1f0xcWFEU4cjUbVyBW5Cp2s1+t6HHPleB3k4oJ+cqcVBI77zGaz\nht8TBAzOKNVutw3rm9NZlstl/X84HBpFfLDhFYtFw9/Dmx8vIlychX1G8Dlig282m2qZ2hspb1YY\nUBz3DuEFji1QCE9CZORyVXrkMMN4PK4bB4c/QqFhrgUUKbuIEd6LjfIwv4NJkvYiwlYStz+Xy2k/\nZbNZ3awSiYROIs4qyCRICLeHlS3uP3yfSCSk0WioUlCtVjXkkUMDX7x4Ic+fPxeReZVCbNbff/+9\nPHnyRNt279499S2yZdpqtTTcCYQpkfki9tlnn2m2tq2tLaM4C/pieXnZSHvL3Ir19XUlIG5sbKgF\nnslkjPGDd3F+fm5syJPJRH2ztVpN7//55587Fx60wR6r+N5lAYPMiWNms5mhyEFh2N7e1iIz9gbL\nYyWRSNwqEyFv9vYmyeMR9+fjOMPdos3NRmBchDu/sLxFws8PY4Xb4LqP/b9NcrS/d53/ocKKlK2U\n8T0WkUltpdMWl4Ljuj/zSURE/vCHP4jIfC56nifffPONiMzHGebczs6Orh+PHj3S+QPUGcbIwcGB\nKiI//PCD3L9/X0REvvnmGwNpw/xJp9Pyhz/8Qf8fDod6/tOnT5XDkMvl1OqPxWJGyCJzKhipE7kq\n3jQej3UPicViuudgX1wkAQchkEACCSSQQAK5JncaQZhOp6rZJxIJhWdYE202m6oxojymyBw6TaVS\nRoY7aFTD4dCwJnEt/myLbamzNQ6tDpAyND7WJpnRHYvFnH5m/M+uBGaRw2IrFAoG0xrWZKvVMorq\nzGYzRQAymYzhg+eQOU7GwomLcKz9/HaGNY5o4KQ94/HYmRUwkUgoJG67UYbDocLqjG5sb2+r9r+1\ntaWuhbW1NXn58qXCgC9evFDNutFoKKxfr9cVHjw7O1NkotFoSC6XU609m83qOEsmkzp+GGmKRqOK\nOIzHYymXyxom9fOf/1z9ic+ePVNkYX19Xa2E5eVlw0UxmUz0twcPHqjv8JNPPlGINJlM6vfJZFJR\nikwmYyRQYa7GRx99JH/84x9FZM60RjKYaDQqx8fHIjKfJ91uV/vs4OBA3+3z58+d5aqRWImRM4wz\nDuVidI8Lic1mM0mn00ayK0CnXOPBrmUBAYz9oREGfr/b12Y+xaLz/Cx4/t3124egCTgO2fr8LGw+\n/jaoh93u20QR+P3O78m+7qJ2Qmz3523cD/b9GMVhyxrrL+YhsnwyrH///n1F0DY3N/Wc5eVlo5T7\naDSSr776SkTm6znG6uHhoa4HR0dH6hYNhULy3XffGZl+wRUaDoeKKLZaLYPPgz0Pc4dLrjMqznsd\nfwfXCfahRXKnFQTP87QTQ6GrDG3s2x8Oh9oRnIIXsBM2JU7VzFnA7MHJ4XcMMXKYJG/onDY5k8lI\nt9vVAYZqYCJyLUSOr4XNHjAirs/13Hlw2D58O3MgNn+G2rLZrJGqmAuFcHEeJjlxf+D6aBcX94Fk\nMhkj9XMul9PfOaslh+7YPuuVlRWdIJzO1fM8bXM8HtfJ89FHH8kPP/ygG8zvfvc7/Xx2dqb93u12\nFSp8+/atugtev34tX3zxhbx8+VKvh400n8/rBl0sFlUpyeVyCuPFYjGjslqr1TIKaaHPETIlMnd3\n4futrS2ZzWaaByEajapSk81m9R2ura1pu7a3t9W/+PjxYzk/PzfCNrFYLS0tGWFdIG8tLS2pQtPt\nduW7774zYsI5vpuVVYjNdeEFvd/vG8oju5vQL+CA4N2ura3pwlksFjXfCbuF+D72hsCbhSsG/zbi\n5/66jfvCbtsiOBzH2BucC/J3cRg+ZPP9U1wcfpu13UYWmzjJHKbbbPaLMmH6KXmTlcAAACAASURB\nVCauPsRxzG/B+jsej6VUKhkEbhgF9+7dU2Lip59+Kr/61a/0+3g8ror54eGhFh8rlUqqCIhcbcb8\nzr7//nsZjUYGPwlte//+vR5XLpe1D5lYiLaza5xd0xDeW5gfd6u+v/GIQAIJJJBAAgnk/3dypxGE\ntbU1JXVwcqRwOKxWzsXFhRGiBMsMRDrOPAVrLJPJGHmqmcjECAL/PxqN9HOr1TIy6XECoU6no0k3\n0FYRE26dzWZq2Xmep9Y0iuMwMZAz8THUBXg3l8spYpHNZiWbzRoRGpxdEdeyM+IxeYwRDC5LHQpd\nlU7m6w4GA0VtkLkS7eT+Y2LgbGbWnP/kk09EZJ6HfHNzU3Z3d0VkDvFBC65UKooMcJgfCu0wW9/u\ne/v/eDyuaATcWBg35XJZyUOPHj1Sq/vBgwfqOnj48KFC/J9++ql0Oh159uyZvk9Y4/zOisWiohHL\ny8tqiWxvb8urV6/U/VGv1/U5e72ewpjdbtdI6gUrYWlpSb7//ntFRPb29tRF43meXjeZTCqxstFo\nKMGq1WpJLBZT6HV9fd0gM8KyZ+gdLgaMGyaDok9xHBe0wTwZDAby+PFj7Zvl5WV9Nr+y4mgDf3aV\n1WYCrU3kW8Tav8kVcNPxfgiAn/i5L/yg+j+F5HjT/W5yJ9z0HZ/vyiDJ393kGlnUTm6vqx2ZTMbo\nc6xZ0WhU5/nq6qpEIhH5+c9/LiLmfIrH4zp/nj59qkjd7u6uRCIR+frrr0VkTmD+4YcfRETks88+\n03WCJRqNquUvYhLiU6mUrlvc/1zzJxQyw9RTqZT2XSaTURSc3ZJra2uKaHLpdVdI7LX23njE/4uF\nC8e0Wi2FgarVqm4I3KHFYlEVB0DvzGLHC+Hr+jFw7QlpZ4+DMIQUiUTE8zwdEOx3FblignPNcCgV\n+MyMbk4DnUqljFAsHMNtQpglV1ljuJ85CFwQiKuVZbNZbU84HFZFpt1uOzM8cnEqcBO4/ZzCFu8i\nl8sZsBiUheXlZfnoo49U4VheXtYNul6va1a0L7/80kiH+tFHH6nf7enTp3rPnZ0dHRv3799XBWd7\ne1vf7dbWloRCIYXoWalcWlrS6IBCoaDXKpVKWrHt2bNn8stf/lL+8R//UUREfvnLX8ovfvELEZlD\njGjz/v6+ustQm17kioOCPjs9PVV3w97enj7n119/rWljv//+e834eXl5KWtra0a0Da59enqqisD+\n/r5R5x73azQaxjtnF1Gj0dBoodFoZDC12U3U6/Wcobm80MXjcR1LBwcH6k4SMdNY+0UI2PkyRMwQ\nXrxPnnOLOEXoK9zztpui3283baD8/6Lr+m3aSIHtUn5uc75LQbpJ4eDIFx5ffM2b7uuKVoK4lAYe\nP3weuz3sc+17Y/xvbW3p+F9dXZVCoaDhwUdHRzq2M5mMzs29vT0j5HhjY0P+4z/+Q0Tm8wmbbqPR\n0Gib6XSq45+juOCmxjyIx+N6n2+++Ubbdnl5aaT7Z9fwcDhUJSebzRrzDHM2m82q8VEqlbSNruKG\ntgQuhkACCSSQQAIJ5JrcaQSBoUeuc8/M0ouLCyPRDizjpaUlteRF5lYKLFW7jC+z8KF1pVKpa9EF\n0AwZrkd7ROaaKCMI/X5freHZbGYgCwzDwxJDHgGGcnE+WwxcLCiVShmsa67zwIl67GxxnKERgvK6\nnP2OrSxuCzPS0a/RaNRoM7PbHzx4oLD8w4cPlUEsIooMHR0dSSwWUwsgGo0qMTAej2v/TadTheG/\n/fZb+bu/+zv513/9VxER+ad/+if55S9/KSIif/M3fyP/9V//JSIiX3zxhUKFf/VXf6VQ4UcffSQv\nX75UF8Hr16+1nvz+/r5a6q9fv1bXx8nJiREdUSgUDLcOW9ZwEXz99deKBvz2t7+Vv/3bvxWReTz1\n+vq6WiM7OzvaN2tra2pNcIny2WymfXx8fCxLS0ua7311dVWhR87YyRY41zhAVke8Z85+WalUFC1a\nX1/X8YP8GHhmzlfS6/UUKeCaGel0WscvaqRgDC4i7EFcFiif4yIt2oQ7iCsyx76e6zPERgL8cgrY\nFvaHRkGwcFE6nHMbC96PwOl3Dvdlt9s1ap7cNsLAJa48DH7okJ0bBd/1ej0jY6PLZRQOh3X+PX/+\nXOfvxsaGkVn06dOnum7CzScyz32C+7948cKImOKiaPv7+4ablV0Etlsaa30ikdA5MxwOlSjcbrd1\nbuXzeSPxXzab1fnKSZOYgM9RZZxU6Ta1GO60glAsFrVzk8mkLra1Wk0Xztlsph1aKBT0GBQ+4hAQ\n3mAZ0uQ0leyGYIiS2aHMO+AUzJeXl9Ltdg3FhK/N7G4OBWRlJR6PGxwETvqDcwaDgZGCFoLwSSzw\n0WjUGCQceYDzEomE4SLAfXFP/MZ9xiFm4XBYlTiE7nCVMgx8/h7+QJH5AgAOBbJaoj/fv39vvA/4\nBrnKIzJR8kaEe6ZSKXXlrKysKNM4m82qsvIXf/EX8utf/1rdAl999ZXCkP/+7/8uf//3fy8iYrgR\n/uVf/sU4/unTp+rDf/r0qbpFtre3Fforl8sGVwQLymw2MxShcrms5zx//lx5D8vLy6oEFItFdamE\nw2EZDodGxlFWFnCtXC6noY1cOAs8FyxCHKHy4sULfbc8FkTMQlA4D+8J4y+ZTKpbo1AoqIvH5c/3\n26wW+fZZEYDwJsYpeFlsGJuvxcKbGIcc+zHobyu3cU/g/nyMK6JjkbBRYRd7su/rCo1cxIFYxMlY\nxNu4SfnjY+xEP+Bo4XlcbZnNZmo8fP755+rGWllZkUqlYqTrx3n9fl/Xg729Pd1kk8mkrKysqKH4\n8OFDbVMul9Nz2JXNcwShqTg/k8mo+/DXv/61zo1Go6FtYUMW2UJd7nR2a7CxxS5jTv/uJ4GLIZBA\nAgkkkEACuSZ3GkHg5D6FQsEgFsJKZ2uYE9iEw2GDnc4WMMMzhULBQBY41h6kQxHTGrWTC7GV0el0\nDAuaczRA4wuFQga7G+enUinp9/tGJAXXfMD92S3Q7/cNi3k4HKoGH41GDUuVk97gGOT7FhGF93H/\nXC6n6Ewul9NzarWaJhpqt9v6jpaXl2U6naorCM8jMtfg0bfr6+tqAXPcbywWk9FopOzgbrerz8ow\nXDweVzRha2tLjo6OFP7f39/Xz5y05ODgQKML3r17p5bEycmJrK2tqXVfLBaN3BVc2wP9j3coMifP\nJpNJfc+7u7tq9T9//lxJjru7u5ra9f79+wovlkolqVarCldeXFzoZ0aiuIwzp2ZNJBJycnJiEBO5\n9DSsnFwuZ0Rn4DOQDbjWOAnYcDhUBIKRIq61IWIiWrFYTN/p8+fPtc+z2ayiJK1WyxjDdvTQTREB\nsDLt9M8iZkrw28r/FgHw++02VraImZL8puu6ojIWRVtg/k+nU8NN4RfRwUgFiJF8fxex8zbRGi5S\npV9f4ft6va5rRiwWk9lsZhSsc6Gjg8FAz9/e3jaO6fV6Ok+ZQHt5eakuhm63q0hbLBaT9fV1XUOe\nPHmiydqKxaLuNb/61a/0npFIxCAsMqLw8OFDo702wVxkjnyzu4FdBp7nGUgDrj0YDIxoMRcC5Cd3\nWkHIZrM6WNkf3ul0dEGLRqO6cNubYCKRMDZCSK/X0xdSKBR0wWMfPQY0w/8Qu2IhZwLM5XI6EFKp\nlA6iWq2mbej3+7rxsrKRTCZlMpk4F952u22wYdHWwWCg97erLLJw0ifuj1gspmFx7XZbyuWywZvA\nxrOysqIRIolEQhWEbDar14pGo5LP57VvM5mMukuKxaK+s8PDQ52og8FAYbtisSgnJycKkWWzWfVT\nc7YxruYJ1wPCl7788kv54osvRGTu6//pT38qInPWMOoqfP311/KTn/xERET++Mc/yubmpnIStra2\ndLHY2NjQBEq7u7vqRlhZWdF87UtLS3JycqLvuVKpaP/xOONiXbPZTBUSKAhIDrS/v298xrXOz8+N\nMFv063Q61UgEkbnygwXt5OTEqMCJucF9OZ1OpVgsGu4rMK0bjYben+dcJBKRfD6vYyOZTGrfbG9v\nq4Kwubmpx8RiMWNB45BN3iBdNRPQZ4s2tQ/1jduuBxdXgYXdg5j/Lpib1wxbIcDzM0vdbs8iReE2\nC76f4oB1xS/skzdy5iAtas+fwkfwcyWxYGzbLllWWFOplCrJHCETDod1brHxB24CNv9Wq2VA9NhD\nHjx4oOtcLpeT8Xis0QaYK7iea6wwByGZTEoikdC5trKyovdnmU6nOs8QdiwyX0+55gnPwc3NTZ1n\n0+lUn//evXu6tnK4pZ8ELoZAAgkkkEACCeSa3GkEgfOyt1otg5TEtRRASpnNZgaJA9/Z1+KYfiZs\niYjhBuCIgnw+r7A4w/iTycSIO11bW9N7pdNp1fJKpZJqxMPhUK3mZrOpWjEgJNbmGQqDcKrpUChk\naNoiYhAAOW0ztOnl5WV9/s3NTcNi2NjYMPoG/VgqldSabzabCtFztAfcQLBUB4OBuhtErhi2b9++\n1eeq1Wr6/J999pmsrKxoBTYu/RsKhdTqfP/+vVrZFxcXkkwmVVvm1NeVSkWf5fT0VMmH5+fnijJU\nq1UjqoKrrD158kR+97vficg8OgK5Dz755BP9jFTPiIJ49eqVWuCvX79Wi4PRgEqlom08Pz+X2Wym\n48HzPO2b8/Nzjai4uLhQK+H09FSh++PjYxmNRoq6gBiFfkJbmKBVq9X0nefzeclmszq2l5aWFNYt\nl8va/rOzM6PS6dbWlqIDS0tL8pvf/EY/83jCObPZTOcF3GL8myvyYBEycNs8BLfJT4D72tey56JN\ninRFRiyKtnCVsV7UjptkUS4Akev9yn/9cjSwIPGZ65gPRW1cxzPSwknUIP1+3yhpHI1G1brv9Xo6\nZ3jMilyt4f1+XxG84XAox8fH6ppst9uK6Lx580YRyI2NDUWAY7GYRKNRHafValXXuk6no/fkhES8\nn6CWDLvAgVR6nmcgr1jPuYx5oVCQRqOh1+cy9cvLyxr5NBgM9B6MzN1mLN1pBYGLCk0mE4Xmksmk\nKgU8iJLJ5LVkRlwO2FVzgV9It9s1fPbMFWB2PbsyuPZBJBLRMr4QLOqXl5e6kY9GI/XHbmxsqBIx\nGo2u5bhniAyf2U9sQ5o2xIg2M9eBQ29ms5mxuWYyGYMXAPfDwcGBTgjA4iLzQQzYq9VqSbFY1Hu2\nWi2F4lOplJ5zeXmpTH/e0D3Pk6OjI20PokJE5osAYMBqtaob5MuXL+X+/ftalCiZTKqvPxS6KpUa\nj8f1/qlUSidXJBKR8/NzHUPValX77+LiQt9ZrVYzSjdjnIAngU2dyzq32229br1e1w31zZs3ymY+\nODiQZDKpmRUTiYQqKNPpVBUXhqX7/b7eHxkmcVwmk9G+ZX8oc3g6nY4RacD1LzBe0f8I5zw7O9OQ\nsa+//lr+4R/+Qa9x7949VZgSiYSGrbKLbzabaV+02+1rm81NLHjbz26f4xI+3xWi5we3+91zkbjC\n9Oy5iA2NN7NF175pE76NW4KTRnFyq9vc009B+tB28nGuz8PhUN0KyNIpMh+bXBCsXq/rOOcaLsxH\nQag1rgvp9/syGAx0nA6HQ712vV7XpEkPHz7UPjs9PZX9/X19XycnJ6rkDQYDVTY4Id14PNb9AM+C\n5/nxxx91brMhwHsTh8aDT4G9iqPHtre39VkQAioyXydcLjo/udMKQj6fNyrIoUPX19eNVLmcr4Cz\nCMbjcR04THiEr1/E9GePx2OD7CEixmDFOYwaRKNRHRDQHnnwY8HltMHD4VAt69lsprH6KAjFJDMI\nLwLj8diYHKwEcC4IniBMPprNrlI9d7tdtR5TqZR8//33uhlhUtn9xCF7k8lErdzDw0NJpVKqvL15\n80YnFIfm7e/vG9X/0Jf9fl/6/b4OdoTr4fmx2afTad0Ej4+PZWNjQ4/99NNPdeJms1lVHHK5nCoO\nmUxGiYSZTEbevHmjG+T+/r7258uXL7Uv9/b2tM8vLi70+/39fYlGo6pUDYdDteYHg4F+Ho/H2n62\nfsANQD8lk0lFWkqlki6Iy8vLRrEm5naMRiOjKBaHxmKDj8ViBskQKE0+n5f79+8rJ4bzijBvROTK\nAj46OpKVlRV9n4lEQkmX5XJZU2ez8Li2UTF787lp47dD/hYdx58XXXdRwSDXdxz2yBwKbptNzLNR\nCpzvF3Lp4gn4KTV+7Wfrk9cmF/9g0bO7yKP8zC4yogvlcSESTMD1PE837tlspmOs3W4bxe84d0co\nFNL9oNfr6Wbfbrd1nTs7OzP4WpPJROfs06dPNUdJs9nUOdNut6XRaCjRuNvt6n6STCaN/DsupXAw\nGCgKITLPeYJ1k6ueLi8v63NyJtqjo6NrYZJo/3fffWfMJ6wt7XZb3zlnvPWTgIMQSCCBBBJIIIFc\nkzuNIDDzOhqNqsaEOt0ic4sF2ptdhpgjBDhkLJPJOP2HXKMe0QmAaBmWZxgsFotdg+38fJy4TywW\nU4i8WCwaFj8SPOH5ObLC5bNlngAiFWw3CX5jRAGabDQaVWs8Go3K9va2Mm1ZY2Yrezweq8WYy+W0\njYeHh0bmsUqlYkDhgPg56VQikVCNt1qtSqlUMhKYwDI4OjoyuA1gzY/HYyPyoVar6f0fP36sx+3s\n7KiWvbKyotbD1taWEZpar9c1QuPk5ES5DmdnZ3oMRw2cnZ0ZfZbNZo0yrejn1dVVRWbS6bT2Cz7D\n0jk5OdGxwYWbIpGIwfuAdYDEWOgnHnuTyURRA+aj5HI5fa/dblfDU0Xm/BC4X5aWlhTu9DxPIzpO\nT0+vWf14nsPDQ8Oa4nnGSJEfArAIyoZ8SBiXfQ7ERvr8XAkuS3s2m8lgMDAs3Zs4DK5j/KId/NAU\n22pnS/02hZEW9ZeNFtjP7vrf7zqu+9vPigRf+A5z4+TkROfCdDo1GPmRSETXkNXVVR3z3W5Xz7+8\nvFTeDCfKApqAebu0tKSo2U9/+lO9Vr1e1z0jFotJpVJRN2mpVNK58ejRI71WIpHQvmFkCfUSME6a\nzaaBdkM4ci0cDmtbUqmUTCYTvV4ikVDUYjKZKAp9cHCgiOLR0ZG2y3ZlueROKwi8efBnDuebTCYG\n2YMhNb/sZ3YKYfbzcxEj/o1dGcwHYP8R7uMH37kWkdPTUwMS5tTJq6urRjpaDFQeZCsrK7o5wufs\nWizYXcG8izdv3mhbIpGI/Pjjj0bY6FdffSUic986+5A5jwE+o4AJNrLz83PDB8rpiJmwyX1+eHio\n/xeLRYXhOF8DzhOZb5C1Ws3oTxzHfj7O18A+cMDzXA0S1+b7cREWznCZzWYlEomoUjEajXSB4lTX\nHA7aarWMjZt9rScnJ8ph4AqmnGFtOBwaC0W32zUURk57jHezs7Oj1+JiWf1+X3K5nMKo79+/V6Vq\nd3dXFxnP85Qn0e/3rxHgeD5w5jfeEFgpseF3v83SJbfhH7iuYcPb3DY/5d51H6QQd/X5IkGf28qR\nC4p3tcVP/J7RvtcixcHvOf0Io7by47fm+bkbzs/PDe4SZDQaqVLQ6XSUwFyr1SSXyxmEP6x7vV5P\n58Pq6qquX8xNEJmvJ3AfsDH59OlTw7DkKo1soA0GA533JycnukH3+30tynZ0dGScw/OBXdNcYAz/\ni1zfW0AiFhGj0u/JyYmGM3MIO6/zqOS6SAIXQyCBBBJIIIEEck3uNILA4SOhUOiaRSdylSFMZK7t\n4XvUSHAhCEwqYZKfK2rgJhhvUU53mwXMwtdlrS+bzSqsXS6XDZIYrDwuafv8+XP57W9/q9eMxWIK\nw2WzWaOd6KdOp2NY9vxM/D+jJul02si2xxEZ0ORRowJWK/L8i5iJqtgyGQ6HRs5wPm5zc1OvzX3P\n/TWbzYx6Eu12WxEMkavw1ul0qlEE/X5fYcxIJCLlclkzDq6srChhimuBsIsJZFL0Mdpgt48LcXme\nZzCdYX2EQvMiYLDU3717Z4TN8rMA2UCBKFyXo29CoZC2hS0zJuwuLy8b/dzpdBQdqNVqeq1YLKbt\najabiuYggRmjeJBQKGTk0GfLnF0MttzGGuXvFoXMsbjm72w2M8q0+13bD/rHtVxrC99TxIxosEMh\nb4qisOW2EP9t3DecpVXkaq3lMFm/9RPX+lCi42x2FTE1GAzU0mcUeDwe6/fn5+eKJmQyGalWq4rC\ncCGxXq+nYzCTyegx+Xxe1w8kLWI3IeYD1wmxs9+yC7lQKGjb2K0XjUY1mVKn01GXbSg0D1NH24Bq\noy8YTcCz8JgMh8OG+49RK+4/fq/JZFKv+/95FwNPHL+Qv06nowPChvvtDZ4Hu18WNDvEx+83+1xc\nl/+6nsc+j8P8kDUL0NHGxoaRvQ6DeDwe66D9+OOPdSN48eKFEflRLBZ1se/3+7pB1mo13yxgHCYk\ncqUAcUx0OBzWDapSqRjVF7nSJnMeWFlIJBL6zOwnBzcBk2R5eVn5BDs7O0YoEKcgLRQKeu1cLqdK\nDfvtmTdSKBSMPk+n0xoFAVcBroVnQQioyDxcCX00m82MENLRaGS4T7gCIm/iHNqZyWS0nWtra7qI\nrq+vKzzZarX0e8CuIvN32Ww2DVcUFK7j42PDdcIKN8ZSJBKRRqOhER688XE45/HxsYbwhkIhabVa\nem2GVPna9jxhGJTdf3+K+J1rQ9+u713/s/Hg5+7gXAI8bxnGXsQn4O/9uBb2muVnWNgbtEt5cD0v\nz3tsMJzlkvMDpNNpXz4CX9/mRrjct7g35jPS0ouYhgm7Pw8ODoxwXJGrcN9wOKybf6fT0Xdw7949\ndcWWy2VdmxKJhJRKJeWinZ2d6fs7OTnRKAaMbZErxZfXajwbR5J1u109tt/vXzNgINFo1FBQOF8N\nKyHM1bJz/mBu53I5nY/ffPONkc0Xa4ErY6ctgYshkEACCSSQQAK5JncaQQiHw0rK6HQ6arUOBgOj\nwBAslkwmc0179dPSXf/bWrnfeTdp7n5ia5Mic2YsQ6/j8VgTzayurupx8XhcNf5er6ca54MHDzRW\n/je/+Y1ks1kDbuN8BXw+Iyj82c4EBu2Voa50Om2QhaClIwEVEIBOp2NArFzbHZ9LpZIeD2YzWxNc\n7pv7n0l9nKOC4Wu2mBl1ePTokVHXgtGR2Wxm5M7A957nqcVRrVaNZCyMIHS7XQMuhYzHY9XoOff6\ncDiUVCqlz8N5EJLJpFoT9XpdrZ9qtarRDXAxoA9tqxPvEtaWyBxZwrVWVlYMBALwqsjcmoQ1NhwO\njUyMXLiKk7OIXOXS97Pm2RLDca455Ufes2URQc41zmH9YZxxn9n1CiCMrITDYWNs2MfeBhnxW5v8\nnsu1ZvlZ9dx+O38KEKFEIqHrJrv8arWaur8ymYwBjy9qswtNQRtw70qloggCZxjkqCYuV394eKiu\nQGTfBKJ6cHBgJMjjZ8T46/V6ugZ4nmcQE7nI3du3b5UYXK1W1Ur/6quvpF6vG7A/1+3BXJlMJkps\nHI1GBlLIiBT6kK+D8+EO4KRLQCe5b5hojIyPGxsb6tbla9sZdl1ypxUEhImIzF88FjWuRY/BIGJu\nXLZ8yEZ+k9zkYvATTtLBYX5cOGc4HKqCMBwODV8/F/6BTKdTdUl4nieNRkPb0el0tM8Y+mu32wZ8\nxhspJ+Zg6IurYYqY/i0obqenp8pwFzF99UjiZPcVKw7xeNxwS7RaLSOKhf2PnBWQ+4QrcOJ/9B9H\nHuCYZDIpH3/8sQEXYoGs1+uGUoVrnZ6eajsbjYaMx2NDQYDLhPt8Op3qtaLRqLoJ4H/kkC1Ow40F\ntVqtqovBDq3lCIHxeKzKBvNOWFnxPE8XlFAoZGTmxHd4Z1BkxuOxLpye58nr16/1N3b5zWZX6c4r\nlYr2RTqdNsKJmdHNchsFfdH3oVDIgNFd58C9wcxx1wbvt+ljE3ZtxIuUmNuuQS7ekn1dv4gEHoss\n2HgxX/L5vOEKwr2q1arBe+L29/t9I+KI28m8Gw5Nh4ESiUSMUGckVxOZhyZCgW21WrrOJZNJhft3\nd3eNREme5ylLv91u69iczWZGtkWOPBsMBrrWMA+N072fnp4aIdO81iL5nsh8bUT/TSYT+frrr0Vk\nvk7ZiiiEo7fQJzifuVrsvjw6OtLfdnZ2DOUbc+vevXv6XgeDgVHg7SYJXAyBBBJIIIEEEsg1udMI\nwmAwUI1T5Ao6ef/+vWqMTMrj/Noud8BNchviz6LfbGKjiJvIw98zDIoy0Bx5wNA5rMxOp6Pnv3v3\nTol13W7XSLU5GAxUs5zNZgbBx5XMBposp5TmlMhM0uJnhJYP6J1TEvNxbKVC2HWQTCa1QAmuBysh\nm81qMiIm6VUqFWk0GqrNh8Nhg93LfcH5JhgSzeVy+mz1el379vT01CDi8bOwlh+NRo1iM2y18Pc8\nJkGKzOVy4nmetjMej6sFV6lU9FkZ5rQJs1xQRkSMpEn4ntvC4wpwOVuGHNWD9M4iV2nDK5WKQZr0\nPM84hwmYuE+j0dDPy8vLt2buu2TReX7Xtee1Ha3jQgD8SIb8u+vzbY7/kN8gt0EhZrOZztl+v69z\nrtfraT0DketRDJzQDHA7JzOCBc5oJ4RznIhckeMSiYRGB8Xjcdnf39ex3ev1FKkbDAZGLQbcs1gs\nakQA0r7z2sj5RjjCCNdNJBK6f0wmEykWi8baxu1FErDhcGigdoPBwMgFws+NtZWT1XFZd7uf2H3K\nSBe/10qlYrhied233ycnu7Pvg+9vkjuvIHCxHcA99XpdB9RsdlU4yfM8A3q1oT9eVPnluCA9+zdb\n+JxFsKIrudJgMND78+aASAVAZFw1sdVqGZAuzr+4uDA2Xs6+x9EK9mR3JVBatLCy64LPBwteZD5o\nu92u8W7YRcK+NZx/fn6uz48kUdjgB4OB+tmOj49VQeAETI1GQ5LJpC5KzNVglxOzzk9PT/VzLpeT\nWq1mvBtMvEqlYsD6cHEgiRae3/a74n/2OXIUBT8/xgfGeT6fV5dNt9s1xeMlCQAAIABJREFUIjIg\n4fBVlVG4KHjhRjtZQeIxz75YnI//i8WiEebF1TixUMXjcWM8ep7nTGLFlS2z2awqkp9++qkBq/pF\nF9zkvnP9zu2w2eR+85y/uy3vwe86i9r3oQqRH1fKFi7W43meoSDYdWI4BJU3EvRbvV7XdRbzWWQ+\nN0ejkV47Go3q3Ein085EY4PBQBUE1G8BLM4Kymg00g2ei9olEgkN+QZnAWNzY2PDmBucZRZt5IRi\nInNXBK9NHG2FKouhUEj5BOAWod97vZ4xz7iQFCvIzNvgce7He0Ff4XwIanxgPeh0OjofLy8vNTSZ\nXSfD4VDnGfaBRRK4GAIJJJBAAgkkkGtypxEETjLRarUU0mm1WkaVQM6jzznqmd1qi58r4TZavs16\n5u9tYVietU+7foLI3GLr9/uqmXc6HQMNgMXGOcZrtZpREpstTYbF2Wq12d18jA1fu2BUG6kBjNdq\ntYzKdosgUXzPkQ4gxUGbZhb/cDjUd354eKhtQc0MZgfzZ05MAmGLt9FoaEVGvAPUaeCUzGylM2ID\ny4ZRBLZm+HsXox4oAyenwT2ZjGgnDWNhYimTWbn/ueZ8KBTSuQHiFf4vFAo65mKxmOzu7uqzMNOa\nCWjxeNxpWTWbTYWBmZj57NkzI9kWW/cfkh/BNTb7/b6BmvjJn+JKXIQU3hb1WPS967roIxsuthOH\ncb4TrB+8fiK9NiMIsMaz2axRmZAjdDAXsU7xesw5PjA3C4WCfvY8zyixztY9EyGTyaTOh1Qqpefv\n7u6qlTydTuXBgwdG/g4gZalUykDqkLTo7OxMx2yr1ZJGo6HtCYfDWvPk9PRU95bt7W3tC1RjZDcx\nRxSwm47J0BCgv0xIZtIyo4Bcl4LHEuelsQn5r169EhET9eH1Bq6SRXLnFQTAxRzGUSwWjY2Dk+Zw\n3mr2b/9vFh0R/82SxVUSFcKbN2/Q7LMGPAe/m+d5yi/Y39/XwcdticViRogbKwJcvpoh7kXQ5W02\n9VDoqiAUM41Z0UF/3JSQiqXdbhuRCyJXTNxWq2X4/e12sQ+f4XvXBm0rQZ7n6bhh/zxHVXCIET8L\nFAR+twzfc1+4NiW75kc0GjWKxbDi4jf+wuGwtq3b7RqlwCF2lILtFsF9EomEUYqcXXE8zh4/fqyl\ntHkRTaVSqmysrKwY/cqbCPOF7OdxfXcb37uIGULJLh7u4/+n7nWTIs3HuKIg/AS/jUYjXf8QkcJZ\nYyHMtud1cjQaGSGznImvUqnob6enp/pus9nstdouIvMEXslkUjfoy8tLYz3CmEun09rmarVqKCR2\nzROMB+atdLtdrZfAG2q/35eVlRV9TmRWxD1xfy6dPBqNdP3kcuRoC8pC7+/vG+5rXpt5PWHDLpFI\n6GceZ+xWRZZVzDV7bLKRyOMX8w9F5OBmaTQaygOq1+tGKWt25aIvnz17JjfJnVYQmEjC1dOQ0lfE\nrCXO2bngc3VZ+rf1Bfpt9vZiz2IvPnhZHL7Hi/N0OjUsM5GrTZGtqUajYRAw8TzValUnBGuyuDdv\nirywuRZOe+O+iV+BNtrnL7oe/0V/8f+1Ws1ILwwteDQaGeGD9nMxyQ59wL5V3sTtWHfbsucNnsmM\nnFUSgrr0rs2YSVV+yoKNIPA7TyQSunCzPx3XQHsZQbCfjfNNYEG2uRmMKHieZ8SeI+TW9rkiMx36\n4yc/+YmIXE/vzf3CWSn5mXmBvIkrgGNY+Dj2bXMo7p9KELTRNdd5i1CDRcqCa27YPm+2WLmaISN1\nQHJETE4SZ96r1+uSzWbVv86ZWc/OznRMp9NptVTr9bqhIMdiMZ0PvV7P4M1AKSgUCjpnOdX3+fm5\nDIdDA5HD/ePxuKIe8Xhc2zwYDHTMxGIxyWQyRpZHKBv5fF77ZWlpyVhn0AYYC+j79fX1a4X9RMw1\nE33OWV+Z6+LiFvBaMplMDKOCFW7O+jsajRQNGQwGmldmMplIuVxWRYYNHkYg8vm8votWq6UIip3h\n1CUBByGQQAIJJJBAArkmdxpBqFarhn+doXjO3getzE7MY2v9fkzomyDBReKyGFyWD6Medu52jk7g\na47HY4VxUYIXzwzhIjp2SWTbanZBz/w/ZxR0CVuGNsTtapuNIDAfgC1GP38wW8YcrcLHoS2MGrA/\nn8eMK0wTCILt97OfhduC8/iZXP3EfAhuo6uPXNdjdrZfVjRA+vZ5uCfanMlkFIFBVjkcY8PvdlQN\nvkdbhsOhLC8va7RNr9fTaAV+R/fu3TMsTrbSGJGIRCJqtQ4GA+cY5HFiW+A2fM8ckNtwAvzu4/oN\n9/ULjXQdz20VmfdFJpMx5i2z0LEezGZXxY0KhYJMJhNFCzj66fT01Mgyy0mz4P9G+C+se7xDfAa6\nVC6XdWx4nqeWLTJ2stUMVwT75qvVqlqzqVRKrXygnHjPl5eXigYcHR0ZmU05URtQKsD1+G0wGGib\n2RrnZ2GLOxQKSaPRkI8//lhE5kgLUI9sNquuh16vZyDS9rxzIUqMjPBcnk6nBm+AE5cxCsxRHFxn\nB25NICrT6VSfjQs8ffbZZxo2zcn18EyL5E4rCJeXl9rxuVzO8K1zhzKpjWEVjju1NzU/uQ0H4Sbo\nnQcRQ9x8XUxCDp3BdRF7nsvljDwGvKhDTk9PdaAhTJA3XwhDZX7Qv51hzl6UeVPmz5wh0uYcuIh5\nrNTx/e2F2c7q6ApZRcgnk/m4P1lBcIV2cr/js51LQ8R0McTjccPdxRnm2M3D4483AVf72WXAfATu\nO9fGFY/HjQJTIlf5CpiDksvllA/w6tWra9wMfge47+rqqj5nNpvV77e3t2U4HMrW1pbI/2Xvu34j\nSa/rb+dUnbuZySE5SZu8SmsJFvxTgGAvLNj/qtODITkAtmDDkmWtpNXscGd2Ioehc6rO6ffQOJfn\nFpszC78RqPsyPc2uqq++eMO558oVOBXvBmDZaDRaWxkyGo1KJpNRJV/kSmny5pG/bc2tc9VzbPjr\nGAdv+/u7Qg/r2naTweFtLwMIR6OR7medTscUJoKCILJyq+P/zWZTx7BarWrfzmYzQz3P/B6cx89h\nJT5UOB2aqyRGo1F58+aNuruZOpz3pul0qocYwm8iq708nU6r8jOdTjXcASVExNKw93o9jcejaizm\nTDqdNiyNPM+gbMRiMVViSqWS5PN5nVvFYlEePXokIitFFmvmV7/6lZ4nSAvl0Bor+YwbWAdWb7Va\nqgyLWAOOlQ/es7ycBrlczhQjhFLe6/X0bNja2jLprKxEvUv8EIMvvvjiiy+++HJNbrUHgUuPLpdX\naVa9Xk81vuVyqa5TttIWi4XU63XVskul0jvBT2+Tdfzm75K3Af64LrqXMAZaL2vMruuuJdnodrsG\n+MOaKVvw7NK6qZ3vCq+s8wawlwQgHu7ndSlnN4U41n3P2vC6lEX0K4dJ1mUUrAsF3PTOXpY9EZvW\nxNYXfs/P5M+4LwOkvB4crweBXZT47PXM4PtCoWCAZclk0oABOe2XxwneBMwL/K5QKKjVls/ntZ2H\nh4d6zc7OjrTbbbVsFouFurgZ8IZniawsPng6wuGwZLNZXc+tVkvnvLfGwNcB+d2UIXBTuGAdyHEd\nSPCm36yTd4UZptOpWqKoN8Dsn3hvZvycTCbX0vTQn5eXl2ut1kwmoxZ0s9lUK3M6nUq9Xlevz2g0\n0utTqZSSkOFdRVZzFiA/eJDw/+FwqM/hFG4uo+xdM+FwWK9h1z0XEtvY2DCWL6Pzed6z1d7tdjVc\nwCEmBlA7jmPGlj19sVjMlKxHG3d2duTs7Gwt2M/rKebQC/+e2+kthMdeSAYzYswcxxHXdTU8U6vV\n1IPARfmYUK1QKOhnrklzk9xqBSGXy+nkCQQCxo22jiEwkUjowYtiJLxZ3XRI3eQG9G5ON7EvrtvE\n+V4i1+PZrCB4JyAQuZyVwYuND2FuP9qyLkTglXUxM6DLb7rmJmWDlQVmefSm//AmzAf2TRs+Kwje\nBcnt9yo+zFfAB/Q6Bemmd0H71x3WImKyC7xjiw3GO2e8+BD+zTrlgfvPGwbA71OplESjUZ1DiURi\nbToo0tzQZo5PLpdXrHK8WZbLZb3Xd77zHe2bvb096fV6+m69Xk83OygP6HPcd2dnR7NToCxxCiuu\nyeVyN3KLvM3lf5PytS7c9jZ5myLL9+S/zWYz3YwTiYRR5PF5MBgY93S73dZ9iwsUiVzNrU6nY7gG\nWq2WwSpwZUIOEUBx8zIfMg6ED/uNjQ1V/gaDgd6XmQeTyaRJW+R0XFYWvSEKCA5B4BPK5bKmcxcK\nBV0z3W7XhD4wF8bjscRiMZ1nk8nEUDrj+3Q6rYWTCoWCvi8UBEiv19N+LpVKptgU+hzhLt53eW/l\nOcfhX17zXrwT48D4voyb4jFuNBr6bly4CXNIxDIsxmIxU3X2XeKHGHzxxRdffPHFl2tyqz0IpVJJ\nUbhMVJNKpVRLymazamUnEgmjlU2n0xvBSTeBkm5ys3ut9nUWy9uATl6rg111DPZhbdQLuFt3L2Zi\nfJvr9CZLzAsyfJcr9abn4F5ezfgm8Xpb+D4QL9HS29qDZzEYkTMXRMQgmvmZ3v6AeLn8193L65IG\nCEtETBEntgy4DevCKrCgvJ4FeNDgqcFnBvYlk8lrFozIyoMAUFcqlTKhuPF4rCE7Rk3ncjm97717\n98wz6vW6eR9+T3gnNjY2tD/K5bIB3/X7fbUmm82mulEzmcw7w3mY/zd5+97lTfi/hBhZ1q0RLoTG\nBYHwOy6i1u/3pdvt6jVcfv34+Fgt69PTUzk6OhKRFciP6wqgZLbI9VLe6H/XddVrUygUFCgosrK0\nYeFziWKwuXql0WhcI6Rj7yb6djKZ6LgeHh6qFRsOhyWdTsuLFy9ExGZL7O3tydOnT0VkNY+YAZCB\neMvl0pArwWvBBE6cEXB+fq7eMLje4ek5OTnR8+TFixfGgmf+jEAgcA34jndmTyl+EwqFDA+FN/zA\nXg+u7cL1K7C3ZDIZqdVq2p9cFA2gTbQJWUTstePxuklutYIQCoUMcxhX7OJBwGGbSqUMynUymRjX\nHeSmw/LruDDx+W2uy3UbER92XEt8Op2aBe5FcPPkgvAG5UX3cwyO23BT3B9t4+tvQmHzM72ZALh+\nXWjGKxynv6lN+P+6LJB1BzwfVtxnnPJ2k4vf2178bjabmc1iXRbGbDYzYZVIJGLY4rwxWPwGz2eG\nS1zD5DA4LObzuW4og8FA2wIEPO7Bhat4s2eq6Hv37imzHIpowcWcyWQMihwb18bGhs5ZbNIcyuB1\nhwNqd3dX28wper1eT9rttsZTeePj1DBOE+X+h3zdtbtOvm64gkNM7G73otv5sEW/sOt/MBgYRP9o\nNNINnqmSXdfVQywajZq0xEajoViPVqulygOn9vEBzeGG5XIphUJBx4DHmcNiXCmVC+Rls1l59uyZ\n3s91Xd13Dw4OdJxyuZyOKx92oIDmecpKKtq8u7urz+T+azabBseRSCT0dxcXF6oIjUYjg3NAfw2H\nQ1Vs0U9cjRHYDNd19ZrRaGT2Fv7sxUThe1bcJpOJ2QNGo5HODc68iMVips2Y54PBQAIBS/bE+xb2\nCWbIFLlanxziuUn8EIMvvvjiiy+++HJNbrUHYblcmpKyTNrCv2FNjtHlkUhENeZcLnfNZez97A0D\n3OTG9Lot8T2syXV53Pw7uBhFVgAfLxmNN//d215Guq8LfawLS6xztb7tHdeJF4znfb6XWOQmMCHn\nOrM3BM9nkB5f8zbPBCwLjAGEi93cBOzkMAHnVzMQzIsIZqQ55y7zezIoiV3P7OFZ114unMSWBd5x\nOp1em/NoP7sYj46ONHMgEAgYkCBbabPZzJAWoZ/YtcrlvuF2xXMymYx6DTKZjH7P3Puu66p1OplM\nDEhvPB7rnK3X6yZX/SYSrpvAsGif95q3hc7eFlqEDIdDAwRlL1o4HDbcGWwZw0sQj8cVmDyfz6XT\n6agFy9wNvV7P5Lrjvsvl0lB3p1Ip7b/BYKBt45olGxsbhp/g4OBAsxVAJCdiAdBMbzwajdSzNJ1O\njTctmUyq1yiRSKh3JZfLGU4Qzjybz+fantlspjUG2BVeKBS0z2q1moZEQCzFRFxcIpoJnRAiGw6H\nxjM1HA71fXidpdNpwyMAQb+umxPsnWarn/cZBg9D2HPIY4n16Lqu9utkMjH7Bns0p9PptRo+Irb0\n89ehWr7VCgLcTiKryYZDlQ9hjs1iMolcxWgwiMwkyIN4UzwfGyV+B3cPfoeJGo/H9fCYzWayXF6l\nXXrJmTBwnNZVqVR0ExWxhDzlclldjLlcThdSNps1LGzcLrQdfcML5CbhvvCyCq5TLLgv+d588EPW\nKQjM6e79LT8vkUho+8/Pz9ceAghX4P+8oEej0dpwy7rvOOULG0ev17uRXIk3ktlsZhQe3IsrFopc\njQtvyOFwWFKplGG/g2QyGf0+Ho9rlcV+v6+bCNK1sPGNx2P9/PDhQ50/4NLHMzFnM5mMORQGg4FB\noaPN3o0nl8tpNbx8Pq+bcjAY1LHt9Xq6huv1umYtIGYMRSyfz+sB0+12dbPMZDJrSatEbsanfF18\nwXJ5lUWxs7NjFAkOnbAiht+4riudTkf3HYyhyOqwhyIwGAwM2x/GAgcPVzTEeHD9BSgSIqu1wCRE\ny+XSZEIxORcExX5ErgqPAe3O5F5sfHEWAc+ZeDxuiLdYkRyNRhoD73Q6+l7MCjmZTKRer+u8nc1m\nsru7KyKrsAbc+vgb3hHPmM/n0u125fj4WH8DhTMejxslA8oqp4K2Wi0leRKxyhPjAbCH4/lcf8G7\nP/F6QD/xgY7915uijHvje8ZzJJNJXUudTsfg6kKhkP7t4uLCKEuc5skh0neJH2LwxRdffPHFF1+u\nya32IIhcWXvpdNqAvxh8xhorLJZUKiWz2UzR0UdHR4aSmS1HrooG7Qvc33hmt9s1bmx8TiaTqv0B\nlIL7MTqYtblWq6XekFqtZjRm1ji9rmN2XbHrGlp6q9Uylfq4ZvpoNDL1K97mQfk6aG/WhJnM6G1E\nM9zmm9xfbDV4SX+8z+ZrIN4wEj+HPRis5bPkcjm1hs7Pz3XO8HuyNQnaZbZ0cU/W8JlMhiWTyUg4\nHNY5zLwKbDH0ej21WGOxmM7/O3fuSLvdVssQ9xSxpC+z2UzvxcQ0k8nElBXmjAi2TOfzufal4zhy\n9+5dDVlkMhm9J7vVmd+g0WgY69N1XX0Ou6gnk4nWud/d3TXrHOPsrZXBHBHecAHzA+B5ruuK4ziK\nqM/n89o2RvAzeHMymajrH9Y4LFB2vfMYs2em0WhoexuNhsxmM+OixvszSDGVSilI9cGDB+K6rr6P\n67p6P25/NBo1PAJsmSYSCQ05NZtNfWalUtF3qFQqeq/BYKC1CxzHkWKxaMDVd+/eFZHVOGNucLhI\nxBKUDQYD7c/F4qqKrXfO8ThjjsViMUkmk+o1YJBlOBzWd2632+plmE6nujdWq1UTstra2tK5WS6X\ntZ1bW1s6/zDnbgLK8h7KfA3Yg9gb4e0LDivxGcaEZgAZ4wxiGmUG5y+XSz3nmECJvUk3ya1WEHiy\npFIpnezM684bL6NeXdc1MbtOp2PiX5jQPICNRkPvhRgdFmu32zVuYCzu0Wikbj+4d3EPIGfRHi5u\nwwQozLQlcj1tEO3EZy5CwoxgwWDQKA8iYg4efK7Vatov2WxWJyB/RjvW1Q/wZlTwhu11+67DGrxN\neDwcx9E28wHxtvsw97k3dshYCQiQwYyuhisfhzfemVHr6IN4PC6pVErd5bPZTPb390VE5OzsTPtj\nf39fldfl8qrwVLFYlGazqW2LRCKmf9GWcDisqYiJRELbWy6XJRqNGnc3hxLW4QlYQcK7rHNHhkIh\nEwPGPWKxmGxsbJi0Pc5IwMbluq5RcHlcisWiuty5Pzudjt7r2bNn+s537969hvVZp+SLrC9sxVkI\nUE5w2FSrVXVx93o9E4Jicim8P2oaQJnY3t5W93W329X35BCnN9MGCHm0DfsMF/4ZDAbaLyh3z4Q8\nfKji4C4UCjpmr169Mgj6xWIh3//+90VkNR+w1ieTib4L4t4iq7mH+Yc9C/PWdV3DysjudiiogUDA\nFIsaDAamXDPmbDweN4YAEzjhXZrNponVt9ttE/5iVkTsx/l8XvsPfQmFYzgcap8tFgsNS+RyOUOC\n5g0RryOL432SyZ28+CKRK6MhEokY44PnNq5HLYmb9l2MH88rb4nsd8mtVhDm87kZeAxcJBIx6VMM\nhIIl5a1cWK1WrzH+iawOSzyDWaum06lJmen3+2bicP1uLNrRaCSxWExjm5lMRif76empxgwRzxO5\nnquPZ4uISQviRegF+XHeNYOnvLEvTBz+nvN5C4WCqYfuOI62P5vN6gF3EygM8TJeROjbeDxuLD5W\naiDegz0Wi6mC4I3tYfIDs8Fpr5Dlcqlj5lVQeHNxHMewjuFQ2tnZ0bEMBoNycHAgIitGM+7jQqGg\nG3wwGJSHDx+KiMUwsIUfCoW0XeVyWbrdrran2+3qfOKYMWMAeBMfj8fS7/f1/QeDgVqJw+FQN8RU\nKmWAXHy4MqUvK4IbGxvaF8ydAG8Q1l2z2VTwG987GAwaZZlTIcfjsUkbRNVSLkj0+PFj+X//7/+J\niBgvRzabNV4wL3aI5x8rSDgQRqORibs3Gg1zWKxL/2OFQkTMYT2ZTHSecMrixcWFjl+v19O2dDod\n6ff7Ok7MicBzg5lk8R3Wo4goBoTTXpvNplkLWLM4OHE9V1NsNpvqXeIiWtvb20bBw2/wzvhdNps1\nYExOy4OXBvwWWGcPHjzQOcPpuOyRffjwofGavXz5Uq9PJBL6/IODAwOyxDzh/Wdra0uCwaCuW/a0\nskQiEQVP1mo1A869CYDN9/WmLS8WC3NQr6NhZ4ZMx3EMgJg9l5PJxODwvAoD7o/xX8dn4RUfg+CL\nL7744osvvlyTW+1BGAwGqoFfXl6a1DJO32EEJyPIA4GAIR1hNxhcirVaTTUuTitCXXBmooOVEQgE\nrqUmilyRgXDKEmcuIJ54//59Ey7wus6hMbquq+1pt9sm5Y5DFIy0ZksTf0d/8Hcc52KXNLuouQhQ\nKpVS1918PjchDrQFOBEOq8BKOj8/V2u22Wzq9/yOCCkxJgLt39ra0jHb399X1yP+jntfXl6qBSAi\n6sZ+7733lK0tHA7LgwcPRETk0aNHsrW1pZYWp+89fPjQxP9gTTPhSSwWk83NTVO4BpYNc8QzBsOb\naeG6rrEy8MzpdGr44tEuDr20223JZrM6nhzPn8/n2heTycSk2bHFMx6PTRwdnoaDgwN9TjweNwRJ\nZ2dn2s5Go6H3ZmIyzvbJ5/P6jEQiYUoRs9Xf6XT0mkajoeOSyWT0GbPZTDY2NjTuWqlUtJ2lUskU\n6+HMA6zZV69eSTKZ1GvOz8/VOuaUMbAPilicwXw+Vy+EyGoPgSu+1Wpp+4PBoEkrZNKkbrer87lS\nqejYdrtdHbOXL19qDL1Wq5m9Jh6P6zi9fv3ahJgYK4V5Vq1WjdeHs4I428lxHN1zua4HyKwYv8Iu\nduxtpVJJ5z/jqyaTiQmFvHnzRt+NSaSSyaQJ5WAuBwIBcRzHWOf4HVv5m5ub6oHY2dnROQNCMV7P\nzB7JHkRgkFqtlgSDQbOeWLwZb/iNt34Mxoy9s9x/3W7XFFLDPoM9g7Eq8CAwDo+9ttFoVPt1XajN\nK7daQWB33XA41E5kPADXLBe5Wsjn5+cmVxiLWsTGeQeDgSmug45GhTAcRNFoVA9iLgLFsSCR1aLC\nocTKAufqovCIiM2BFbFcAhx64EPZW8wGCwVtYYUBsfFgMKibnTdFiRWUbDZr4tUMmIQcHR2tdb0i\ndMKubI6HcTyT68rjcK/VakYpYWBcPp/Xa2q1mnz00UciIvKHP/xBIpGI3L9/X0RsbNJxHN2Qtre3\nDcgMQKZWqyWlUsmwXDIYj7Eu6CeuwIlQFIcY8JlTVln5ZGV1NBpJqVTS+/Gc4YW/u7t7DTfA74vx\n4PAVh3J4c0wkEgo+S6fTsrm5qYdSIpEwFLi4pt/v6/zp9/tSqVSMW54VHKZBR/8xeA5MhDhIuCjR\nfD43acLY4M/Pz03efzgc1nX25s0b3VSn06m+Cyv1nU7H9Hmz2dTn1+t1A/jDc6rVqjmEuPqi4zg6\nTzllczgc6toOBoNycXEhIld5/CJXxX3wt+FwqJs6K8i9Xs8UDur3+/o7Bp0yk+JgMNDf9Ho9Hb9A\nICDtdlsP+JOTE2Vi5BDHw4cP5fDwUN8fa2Y2m5kwJ6cZnp6eap8FAgFV6i4uLoxLHeBQvA/281wu\nZwrUYc6Mx2PtC4RbOO0c78/gSVbWRK72ykQiIclkUt9/OByagxgKTrfb1TW3t7dnKK55bHg/uImr\nA+cJ4w6YT4XxJDCYmPsBoHdW5DAfFouF2ZMx5gyYZqX2JvFDDL744osvvvjiyzW51R4EdsX2ej3V\nmDqdjkENw2JoNBqqCY9GI8nlcqa2OAOWYOVmMhnV/guFgmpfAB2xNc4ufmis6XRaLQEA8aB1NxoN\nk4UApCxrdmzliFgtkdNU2EJjAh5vyqIX7Y/+2N3dVe2VC7WMx2PtC7QHWr4XUQ+LK5lMGjCgN2WQ\n0dmcssQ86lxoBc+DhcGgT2jG6XRaLYbt7W0FDNZqNYlEIoqoPj091fulUil1yUWjUdM+5r5nhjYG\n7PH8Y3R0PB433qThcKhti8ViOh/S6bTxpqD/2IMDK4G9Hgw6ZXcl13LAfCgWi1IsFo2ngGs2wEpa\nLBZqcZdKJfXAhEIhQw7FhWeY6Kjdbuvnbrcrw+FQr2HGSEakZ7NZw9DIHjT23M3nc7Wg4ArGe+Kd\nW62W9r/jODKdTrWfLy4udJ4vFgvDHonvW62Wjn+/39fQCtrMZYyxTtjdzbUDRMRYw16is5cvX2q/\nwAPCgFVY85wCzWmesKbZykYRIwATGQzIIcdAIKD9yt5IEDChz2omJm4fAAAgAElEQVS1mu5HgUBA\nwwqFQkHfp9PpmDa7rmtqM8CDwIW3BoOBWsCu65oMJw6n1ut1vdfOzo5hbOR0VLxXJpORdDpt1iDv\nxxwWZW8Ue32azabOwfPzc1MUDd4xZo8cj8dSKpVMCJut+XUESl4iJV7bSO8VWc0zJrdixkwIPCic\nzskeDHgrOPTC+9y6tGqv3GoFgVmkGE+Qz+dNzJfd3TwheINlVrFwOGwQ1Mwqh4kOVznihEwbyrG0\n8Xis14TDYUkmk7pwO52Ouhvj8bgOfrvdXutGxsGzjtKYD2rE80SuuA9ErjAInJML930ymTRpeuw2\nw+LK5/PGJcaHQDwe13ttb29rbJUxC67rymw2074JhULat6FQyLwDcz/w4uLYoDd0xLgLvD9CKhyK\n4tgg5PLy0mROYMyy2axUq9W1TIbValXfWeTKdc7146HA8Bhi/EejkXEvMp6FY8nch5xOt7+/rxsa\nmPRE7CaATZ4zVHhD4lQotLnVapl5NZvN5Pz8XN8Tc/b09FSV53q9rn3MuBWR1RhCQUokEibziOPx\naMtsNjPZDvP5XOO+zWbThBg4Tsu061zkDJkYGDMYD5wRgX4TWc3zWq1m+DsYD8CocfR/u93W/kcW\nFeYgP8NxHO2bZrNpDjHGkHClT2ZZTCaTujYZgzWbzcR1XZ23rAjEYjG9F1geRVZptowbisfj8ujR\nIxFZKQI44I+Pj3WdzudzVVBYER2Px9Jut02xJoxNpVKRJ0+e6L3W4aMcxzHYo1AopOPkOI7Bl7z/\n/vs6lhxunM/nOjfT6bTOn1qtpvOv0Wjo9Z1Ox6xFxn51Oh0NRTDt9XQ61fZjP8faZqyMl17ZW/AO\nv2cuEnDriNgQAac9R6NRXXODwUA2NjZMyBLztNlsGl4XTrvne71L/BCDL7744osvvvhyTW61BwHW\nlYgto8rADeZE4EIncNVDG5xOp+puZcAiu6HZ9Z5IJIxlx4U+2GJhV5PIytKANsy5qgCzidgsApGr\nUALYtdiDwNwBEGZoZIZErssuYsMHbGWwlcyc8HAPe0EyIivLBp/ZeozFYureHw6H1zRbrhnPSGF8\nhrsV78pgVCYNEbmy1NLptGGbi8fjGhLiXO1AIKBWQrvdVmub7xWJRCQUCunv5vO5qS3Bc44tPnht\nwDePvxUKBfM3WIDpdNrkOvN4srsRrlyRlaXLudacucMEVlwLgq0s9qhNp1OTQ495MhwOZblcqmXK\nBaq85E5ejgn8n0MpvB45c4PJwZCfvo6vg995PB7rmmFyqHg8Lu12Wy2tSCRiQkRcLhr7QSQSMZ4t\nrjnCnpZOp2MQ8bDsI5GIzhmASmENdzodkxWCz5VKxYTvEB64uLgwmSORSMSEwtZlWCEri61ZthA5\nxMT9whkd7DkrlUrqtUkmk9pmLuTFXsdarWZCfovFQudpIBDQPucsh+VyaTwwHGZkcigOPcC7I7Ly\n7j1//lxEVt6sw8NDbT8DvTnEh74SkWshkcFgoPUf8vm8tvXs7Ezbz0yIjuPIYrEwHjnej3neMuMo\nf+YsL/bu8e/4nODzZLlcGi8oZ96g4BnGEv3M3vG31d+B3GoFgTuUCX0YDcoV71hxgKsdkzidTpt0\nPj7E8T0zlxWLRSU+Elm5CDnbgZnHcH29Xjcucxw++IwBbbfba6l5QYDDritOX4NwOicfoti0GBGP\nQ7HX6+lnjvP1ej1TNIbxEZy54TiO9gXXec/lciajg8Mn3gN2XSgoGo0aDIY3no/FzpXRUqmUjn88\nHpdyuax9y+660WhkxoLTjeDe6/f7ks1mjfvXSwiDZ6ItkUjEFAaLRCL6HC68wtSyqVTKpFgxAp5j\n7cwKyHFr/p43HRAAoQ9ZwWLq8XA4rO/y/PlzQ8CVyWRUYZvNZur65VREdqkHAgFTtRFskugLJu2B\n8FhAQeZ5g7ZxX/A4sVIoYlkKeW8YjUZmbrGCxXTK6XTaHHCYm9PpVA/+YDBoaNTRlouLCzk6OjJp\no+g/JvRqt9t6r3VEYRzD5oOAlSL05WAwkDt37lwL04isDgguioT39zIBIhNBZKWscHgMRgbSbnFf\nKCtggmUSN4QvUNEUwrTL3n2Li1dxKAXiTb+EIFODWXNxXSaTMdlqnK3D13NYIJVKKTlXKBRSBY0N\nqbOzM4nFYrrWe72ewaTxPr2OtMvLUlqtVg31PSv5UEQZszCZTOTg4EAxLbw3tVotg6Nbpwx8nTRH\nP8Tgiy+++OKLL75ck1vtQWBgFucnT6dTg0JnzRxaVavVMtYM3NciFinKLna2PorFokwmE+M65JKi\nTHXL2hs/ky1w5u7mLAhGqSKnna1JWMPpdNq44djq5tBFuVw2yHfmTmCQJsB34XBY37HX65nSp+Fw\nWF3knHO7WCwMeJMtrs3NTdMfDIbkHGoGr/F9GaTIHgTO7uAccHBVoG8ymYyhV/a66EQsoh5t5fLJ\neDcAs0RWYwkL2qvlc9s6nY4BVjE/AlPz8ruwBc2ZExzK4rk4mUyM1eUtMASZTqfqrk2lUoZq3EvN\nyvn2vD7YxY15FY1GTSlq9kAxcrzf718r5IW+8NKAoz95/JnTgd3r8JIwgI/DZBAGyYXDYbVeF4uF\n4Zvo9/smKwh9w5429ngMBgOtDYC/cZ0YLuTFZFB4F9RF4D5GP2WzWZP7z7/Z2NhQSzcej6vV+ckn\nnyjgMJvNKoB4d3fXhDh5r1wul7oHeN39CD0EAgF9x1QqJel0Wvt8uVwqdwAXgWICK/ZywD2P7KNm\ns6lj9erVK+3nRCJhKIixlnE9ewq8tVbwLhwKxPzNZrOSy+VMKAyespOTE7OHcriB6d6ZhI5r3nDh\nJZ4z3vDfYrEwz19H8MeZJ+Vyea0XCO/v9YKK2L2AvZw3ya1WEFi4c5lYhauHcVUvbDrM7IbNolKp\nmEOAC6rwAEYiEePSw8bHrHCc1oSNj7nQMVk4ns9YAQ594EBk9jKuRcATD5Oo2Wzq73d2dkz4otVq\nmQqOcImyO5ARuMAMcAwX94rH4/o9vyPujd8UCoW17sZgMGgYvniD5IMP9xFZxYBZwcLmBEVEZBXz\nPzg40M2fY+PeeDxkMpno+CP9C89ktjk+4BnPwmROvLhxDYcC8LtGo6GHNbuhm82m6S/m0mesDMcj\nufBQLBYz+AhvpVIWdrF7iY04lQobC29WfFgho4cL7NyUVbSun5CdwPOOFRuvwi1yvTId3ltkZSQw\nSyfmAruhe72erl8c4lgPiUTCoNghlUrFPB/zF3gX/MupuY1Gw4SiuAgT5hzWP9oTj8cVHxWLxbQt\nnO3S7XYNmyWTGz1//lzxDezS5tAParFg3ymXy9pOJmRyXdfUuUGYCAyhaE+n0zEKIjOzYv4woh7h\nU/R5u91WZlP0Cf5l3BL2r1evXmlWAfqWw8RscECpZ0MACg36o91u6736/b5JZ2YCIy9T7bo5Gw6H\nr9VpQJ9Np1MTMmH2Sc4KWldLBKHYdeETDiuMRiMd/9evX+ueB6XtbeKHGHzxxRdffPHFl2tyqz0I\n7IqOx+NGG2U6UmjmXgQou9IZoMNkGNFo1NRSYIuVgV3suorFYoa0BlouaDrZrcn55vjM/A75fF7b\nAnc/534DWBiJRMzzYXEwhXIkEjEkPuxi44pvXB51NpupJg4K3HUeFdZYmS+Cy5YmEgnZ2dkxhFSc\nLcLZEwwwYzBSLBbT8Tg6OjIeCAY/chiBK6hxuWd2y3vLtvIzOVeZrfObslAGg8E1zxKHotgNiXtN\np1OTuYH5A3c/g2s5/MF8GRwu4loY/C9nDrBVw54NtjI3NjZkNpvp/aLRqM455nXnLBYOnYlYemh2\nw7IbmL0mkUjEgHtns5lac8Ph0Ljo0U72dE2nU5MV0uv11N3NRFPD4dB4MDBm0WhU2u22Kf+O9+n3\n+2rB1mo1Ld3NlVnhZYI1H41G9TPvQewZYsDiaDSSo6MjQ2i1ju49HA7r2saYY68rFovyi1/8Qu+P\nZ0ajUd3zmPa7WCxe23fgwUgmk9r+169fK4kWU7VHo1HZ39832To8zlxWnr0JkEgkIoVCwfBN8Jph\n0DbzuvC6jMfjGj7JZrPaN1xzAWPrlWg0agCYeJbIat/ikC2vX/acMvdGJBLRPucsmnA4rHsTwlXs\n/eJMHl4bvD+hjclk0oA2l8ulzkGmp14sFqZOCvofXoW3ya1WEJiznjd73jg4XYSRsdFoVPr9vrpG\nu92uKdbEBwdvjt7YKBfOYVc6JjGTvCBmuo5lkDfIzc1NHfSdnR3DAsaH6NnZmabl8GbPbHPsEi2X\ny8Zd5T3UvalxInZCId0LmwKnr3knObvBvYoHl8WGuzGZTCqL27oYNJ4fCoUMgQhvQry4OEWu2+2a\nGB4EnP34zLgBvCO78PF/LLZMJmOQ7tiQmIcfCgKj5ZnciJH7/Bte9Oyi5HnCdTa8JWM5pLCOgAq/\nY+5+SCKRMBs/l4ve39/XsSkUCkapxXsNh0Mt3oO+5UwcdnGvQ1IjdYzTe/mduc84Zo7vC4WCjEYj\nw6vP5Exw/U8mE1NsCYfAfD6Xzc1Nw7rKoQQoG61WS5UlkJBx366rE8OHfblcNooDDjHE8yGtVksP\n2E6no9ezS71arZo6AYwhODs70z0oEonoNY7jyJ07d/SdO52OwYtgnTIDLRdIev36tc6LQqEgGxsb\ninUIhUJqpFxcXGia8LNnz8yeAeMpEokoERv+zwXWMJYffvihnJ6eiogNsVxeXko+n9d2bm1taT8x\nCdp4PDZ7IrNdvn792sTqcW8uRMcYHOAPgPXg9ciYGq5/MRqNTFiZjUzGKjHWiJWQxWJx7czDNeVy\nWecQ7+0cVmEmUw4L3iS3WkFgK4MHIZfL6YDm83ntCE5xQwEWLraDTmQKYfAdiKw0N47ZJxIJQ+2J\na9hKSiQSOgljsZg5rLhSIeMRCoWCGUR+R8ZR7O7umkONY4N4L150OJx4gbJSte4Q5Rx+gCLZa4L3\nTyaThh6YsR4c2+W4c6vVMilCiMHjfug/3Iu9AiKrxcZWHtdC5zg3WwW8wBqNhmGF5LQyHiNvmhIz\nJjLglCtbclyRvRGs/LCVwIqsF1zFhzcv9mKxqP2fSqWMUoY5g4p7zPDGDIX4He6DZ3D6Ke4vslIQ\nmAnwgw8+EBGrIM7n82uMnbgP4xm4XVx4B33GsVruAxwCnHIWDAZ1fsCbg8OqVquZzXJdymGtVjNs\nc6xksVLoBXyiLePx+BpglPuE+R7YEOF3wYEKDwRzZGBul0olxTQxgHhnZ0dGo5Gh7sYBW6/X9Zmd\nTkcLl1WrVT24QdWMvbLX66l3odVqreUeqdVqOi/AEIq1trGxYSozsqLNDI9M+8vrZGtry+yHbAhw\nn/IYhcNhVf42NjZMIS308/3793WdMJMilHXm+2DQOq7xegmGw6EpeMWePwbNMrDbK/zezP7J64Hx\nRZBOp2NwI4yJYqxNPp/XfuGUbd4XbxIfg+CLL7744osvvlyTW+1BYCtlOByqRsQI5nA4rBZXLpdT\nTRAsWIw65QJLXESGtX9mh+PCPePxWN2NHDOC60zkyiW+juiFCYEymYx6KgaDgWF4Y/ZIdmN6i0VB\n++TYfrvdllqtpsyGg8HAkNmwlg/LAPUT8BtGZHMWQL/f189s2SwWVwWZEPqBR+Xs7Ez7ptfryevX\nr7UvOayA902lUhKJRNTKYYa6xWKh2j/XeIA3gWsR4N6cSuVlAmQrNx6Pm9QoyE3eAHZhom3snfGW\n78Zv2D3MmTccCkkkEloXYWtrS8ciHA4bFz/HqTkVij0IbLUxaReHd0AGhrHNZrPaN8+fP9ey0IzB\nAGmY1/OB90VbOLbPfQlP1bqCY4wv8oYr0O+wWJkxkL1eXI+FPUXMkNdut03KIO7Fa246napLlwsn\nAWeCPcR13bUF0rjPOAPh8vJSPvzwQ/nqq6+0PesKHHEoELUH2H3NtQT4mdhbMLdErnBP2CsTiYS+\nf6/X04J3i8XCFL7ivYDLUkejUbVaeZyTyaSGaBaLhUmL5Owlx3G0nc1mU/uJvbOMuyqVSoZNl9PD\nGXeCtGeMGdZ/q9XStouszgquocH4JggyFdYVnGP2SG/ogbE17D24SbyZVxC8I9650WiYvZ7bzNkN\nHFZ/l9xqBWGxWJjCFXzwMmALikMul9MByWaz1+K2nPKIicMuJD5AQIW6jtUQ1eDwGQNVKBQklUrp\n75h2V+Qq155ju6jzLrKakFw3nguquK6r8TMGyLRaLbM5t1otTQFkVzaznXk3YeaB4PALhxXG47EB\ngGLhexnNvBXosCnyYhS5crWxqxauZmxifCgnEom1sTywGDIrH6cfeWlP8RyvK5BDORxPZvAcH3wM\nROLDz8uKyMoeby7cDwwSZPe/V6ngfuJ0KXalh0IhvRe7QVOplInTc1iJi8ggNCci8vjxYz04dnd3\nDXMeH968rlh55NANY13w/HV/4zg/hyhGo5F8+eWXInK1OWLdc4EcNirYjcvpq2gjFM7NzU3t20Qi\nodd73wUSi8WkWq2aeb6uzVxl0cvJAOpiyNHRkb4n71vcr6PRyMSwcRCkUindJ0TEUEBjz0GaJisP\nXMgJyienGXJOf7PZlK2tLcUROY6j+KhyuazhDg5lDgYDNVZarZah+85msybVGOPkuq5Zs5wKynOO\nDTbGwDAYPRwOG9wJrhNZ7VWMO1o3ZyaTidm3vLwqbOQwEyNXKeUwOa9tb9o1V5BlkCcr/17uEz5D\nGJiNcfVDDL744osvvvjiy/9JbrUHga1WTh9j8JCIZXtjTncv0Q2D+Ri1zBzzfE+kxohcr4vAKHZO\nGWTQ4XQ6NYVrGJENYU0S5T2BvGaGLpErK5cLqnDRl0QiIY1GQ985kUiYNCFOc2MrycuEx25Z/I21\n+WDwqhYAc7LDokA7B4OBAU9xOimENXbWgiH8N7wnA+68lgG7lRmIxl4XFowr/tZsNjW17fT0VL0x\n7Xbb1PLgVFAut8ptZpCVF0jIAD0vfztbE5g/Xnclg0RTqZQJebGnh/uCn8GkPSJXY/L48WN1xX75\n5ZeKjudrGKnNfSBia9vzO7MbFWENDjFwmhmE5+zz589N1gFS0PB/hGUQvhCxJFTZbFbnSK/Xk/l8\nbkiE0E9clpkBq4wOHw6Hpvw0jwt7HXlOsCUIjw+n+sJrxut5PB7rWsb3GKejoyNzf3has9msvHjx\nQkRWYQl4FkqlkmxsbOjv2BU+nU71XqVSyYRiGQzcaDTUa1Gv19WLWCqVjHcSLn7Hca6x1+LdkH0k\nYvezWCym/coMi5ubm6Y2zsXFhQGHY8/01pwBMBrhZ97PmayOWTbxTISlOHzH4QauDcPvwvOa9zcW\nbygT4i3QhPvgX17DHP7BNc1mU9fp15FbrSB4880xuXCQitiNezweX0PdsusYGwTcVSKrzQXfMwsg\nNqF16FaueMixeVSZQzvj8bguqEqlYqr8MTqbXa/cTpGrgiPY1ETshHBdV98fKU5wnXKBIe8GjI2C\nK0OiqhzXQ2f3Fmck4OBEv6HPRK5iX7wJsXD6GzON4d04FMB9wbnWEIQlOO7HfBnMpMi/8Spx7G7k\n6xmdz1wLEKRV8aLmd+bYNDOn8SHO3BkioodyNBo1dMKcfnVTxThmP2SGuWg0qnNpPB6bWLbIKj1N\nZDXOXPXyj3/8o4iIHB4emlx9Vgo4HsvvwtgCDgtBIYALFHghXM9pXpDLy0tDG80YiG63a1znLJzR\nwanNk8lE3fqNRsMoWJz+hjU7Go30MyiA8c7sVsf7iVilmNNsEbpiHgRWfhDW4WqE0WjUcD8kk0nT\nZxhPVp6ZL2M2m5lMjEKhoHvT48ePdc/Y29vTCor7+/vy6NEj7RfOBOMKmIVCQXPuvbgLPM9xHMMS\nWKlUdG4z+yRz1NRqNZ2LCAnx4Yt7ZzIZgxXiCp68f4DNUURMmq7jOObgZWWHD2UOi7EhlcvlDB4B\ngmwdNsYgrBTw3OGsKIRLWbFkI5MxUZwhhffnYlU3iR9i8MUXX3zxxRdfrsmt9iCIXFmL+Xz+GkOV\nyEpjQgEQRu1D++OcckZ1wrJi65HdQwA7Masb3H0M3mNkLABn0Gw7nY5qycyxwNz1zBwINCzeczAY\naDtzuZwBz0GQk453YZBeo9FQDZytB5GrUrzlclmfh1oMzBHBYEJ2z0EDZoY9oOY59xtW4mw20xAE\ns9WlUilD2tPtdtVS63Q6xhpF/6GteCaPOwPeOCNE5Mqa9Lr0WIP3kjOxp4MtC28mAxP9MInWOqud\nswvG47FkMhlTBhaeGg49cJtTqZThumAAJ6PlGdhYLpcVXX7//n3Ntd/d3ZXPPvtMn9Nut40VivVT\nr9fVa+dFhLPXB0V18J7rMh1Q+hnPHAwGZmzRZi5qNp1ONSOGM3DQNrhVOfxTq9X0GcViUddvvV5X\nQLDIKtuGLTMeZ4wlF7sC+Q3mALPa5XI544HDvZh0C+PCbnfUJWCvD1vJ0WhUstmsrpV+v29Aq/AG\nzOdzHb9CoWDW73g81jHkrJZCoaDvzx64dDqtfQ6GVrbOMU+bzaYhlGKCHuwz29vbkk6njQeBEfvw\nmnS7XZOFw+XST05ODAMu3q3Vahm+EM7o4NAX70e9Xk+fw15UvAP61WvRr/P8coEwL5iaPQgccvNy\nH6wDJuP+3E7mZIB4PUVeQPjb5FYrCIivitiNj13f2WxWO5KLIIXDYRmPx9cIYXBfdDS7kUF0JLKa\nXJwy0263TcoiFhEzd02nU8MqNpvNdONgYhIuNMK0xXt7exIKhUz1MBwErEgwglnkyqUPpDMjwrk2\nPJ45m810Q/Zu4F6WP2b4YgwBFlooFNJ7YXGinzKZjPZtrVZTdHUymdRruJIg4uwYcz44mACJqyli\nPNllz6xqjDvhDemm7710tBzD5wJVzDDoDaNwauE6vAnHyaHEcNU8fIaSi/fCWPImCJIdHIocfmLa\nYo6ni1yFg5AixmmzHPJCbLdSqSgiHeEunptMyMXuWp5LeCZcous22/Pzc+2ner2u4ZZyuaxrKRKJ\nyNnZmSLnS6WSKgidTseQa+G+jUZD1xXWDqeQYp5x8TdWSiqVimHLK5fL8urVK9OXIvaAi0QiRpHD\nvIrFYpJOp80c5vAl9gN20Q8GA4nFYrqGqtWqIU1iFz+kXq/rWnz48KFZD9vb28oQ6LquXs/GB6e/\nAgOGPTibzZr3ZhwU8CAcosFa5mwJ7icuasZtwJj1ej0dbxEbsuOQ4WKx0D270WiYecEh5Fwup2ma\njPbnNF0c8EwxzkouKwaMO/LS/eNvjIHgA56zjTj8iAwlTolmWn+0C9lj+A0rhe8SP8Tgiy+++OKL\nL75ck1vtQWBe8Uwmo9prIpFQa4JL7zJYS8S6i1kTZMAj50MzbTAAdrim0WioG4yL+ziOo5Y5iEi8\nBZ9EbLlgzrVnMh8GoYhYkCFr3EzGxERRiUTCvL/runpvdglzSdNWq6VaNqwstAHERRDOCYfWDQsP\n74V+x+8Y5MWU2IyIh5WGmgCwWrxkIBxK4YJGgUBALQ3uc7YG0b+4BpJMJo135vDwUC2VTCZj8uNh\n9bMLHt4srufB4L11nAjs5QHlLqymbDaryPNvfOMb8vvf/15ERD766CP5zW9+IyIraxBAso2NDfni\niy/km9/8poiswIbvv/++iIj8/ve/l/fee09EVtYkrEQucHZxcWHAtExpHIlETLlfzHlY9vCI3b9/\n35BYMXiOrRm2jJgsa7FYqBeMw2pMOpVMJrXPhsOh7O/vqwXIxXY4TMgo/IODA+NNZBKhbDar+0ki\nkTAeHCbjwfxBGIHDWlwsB/tEMBg0tRQ4FCdyxQ3CexOHCGezmSmRHgxeFV/iDJl2uy3Hx8ciYjNM\nAoGAjjMsYwZQYz68efPGhAIx/uPxWGs5NJvNG0nIULMAzwS51uXlpfF05vN5fTcuRTyfz3UP6Ha7\n2i+5XE5DKgB84ncMOGSPcr1el8PDQ20jh+vgVUafYcw5I4HBf+yR9o4TjyNTPQcCtk4M7ilyVYME\n/czeNfaG8PN4/2KyOybN4rAa0+DzPneT3GoFoVwum5QbJpzAoeg4ji5OdlUtFguDL2DXN6PweUNj\nVzNIfrioyk2uG2br4spok8lEY3NctCOZTOoCefbs2TX3EG9waD+nHPJ7cioTXMrsuuVYP1d2xCE4\nHA51QcbjcZMayQpHKpUyrji8Mx/CYGdDn6VSKRMPY6Q9Ni5v/Qt243kPXiadYlZBbBoiYkiTeFPn\nw4o3UWycTMjE4QMsvFAoZGrRI4y0XC5NpUz0ichqnBm5j99Mp1OjOLHCxkrdeDw28w/PjEajhiSH\ni4cxy6brunrAvH79Wg+RP/7xj/Knf/qnIiLym9/8Rvb395UA5+joyBTEOTk5ERGLOp/P59JoNLSd\nb9680bn55s0bPXhGo5FZUxzu4nFCOE9kdRBgzbTbbbl7966IrJRXjAXYPnk9QMHgbAWuuspFeBDb\nZtwAkwtBeC3OZjOd/4gZ8984q4Tj6ZypgBANMjDYGOG0WUg8Hjdsibz+GKsSj8cNWRn2g0AgYDAL\n3W5X96adnR1TLAvr8bPPPlMFk8l4Li8v5b333tO15rquqezI6ZOYm5wy+fz5cykWi/qeyWTSMFby\noYp9isNqw+FQ3nvvPd23Ly8vNfzFxG/b29s6T+v1uhnzUqlkMizW4WMYk4QQAc/hdfVcer2eqZPD\nv+XQrIhNyce9+AxipQDrhJUKCCsIrDh4M7feJbdaQeAqW8xjMB6PTUEKDE4ymVTFIRaLGTrXwWBg\nNiSOHzHYhHOTke8sspoEDIxjAAnnSmcyGY3txeNx3fg4/aZcLuskDoVCughc1xXXdfWA4ThZPB7X\nzQuHksj1g0/kapPzxuqZYZAprPEurEyIWC2XF1QoFDLxZzwDhap4YuIzW3PMw8ASDAYNw5mXKpjB\nW5z+6TiO6Q9snBzbYzpUTrfylsjm69vttkmLwvNbrZbOn0f2YeIAACAASURBVMvLSykUCgoAPD4+\nlj/84Q8iIvInf/In+vmDDz5QJsB79+7pHDk6OpJms6mW2qNHjxR0W61W9bDhlK+Liwv9vtVqyeHh\nofbZnTt3dA7ncjnd+Lm4T7vd1uuHw6EUi0Wd29vb2/ou29vbOje2trb0ezD3oc9yuZxRULhAEIN+\nWSnr9/u6Njgdkg/4VCqla4Zj+41GwxT4KZfLGvfu9/uavshVEnlzZW4VtAfzkdMXec5dXl5qXwIn\ngHlSrVaN8oe+TKfTun5rtZoebihDjXHqdruqoDBtM9qG/mcAM7MS4v4icu0QxJoGEy36nD0azFfi\nuq4qGI7jaLsSiYSZQ7lcTp48eaJtwx42GAy0X4fDoTFWGo2G9g2nSY5GI1VQW62W/qbVahncD0DU\nIhbH47quKi58wPKe4ziOZLNZxY1UKhXtP+zFuN6bds3YM55HDExmxQDtB8iZ+Wewt7K3mA97Figh\njG9gMCPTyON7L1fDu8THIPjiiy+++OKLL9fkVnsQIpGICR/AaqzVamoBVavVa6x0IleEI4ychmbH\nDGRcajWdTmv6F2qP4/p0Om3czbDS2dU5mUwkl8upNswMd8Ph0GjGsAYZT9DtdqXVaukzmSOeU56S\nyaRq0ox6dRxHarWa9gHSHkWsG6zdbpvStZxWxCRUXG6Z47GZTMbUb4BWjEI3TNSD8SsWi9rmfD6v\nfc6oY46loc+5iA6EtW3UPuC+4bLM7PplDAjaFY1GpdPpqHVXrVZ1bM7Pz9Xdypb97373O/nwww91\nLO/fv6/egc3NTe3PUqlk3LBcrOuLL74QkZU3odFo6P2Wy6VabbVaTT766CMREfn7v/97+d73vici\nIv/wD/8gf/VXfyUiIv/6r/8qP/7xj+WXv/yliIh8/PHH8vjxYxFZYRgQIrh//74WB9rZ2TEx9263\nq+/MWBEmIIKnRWTlDWAvCvdZr9eTTz75RMeJvVaYp/F4XIbDoRkDRvFzFgUENSPQRq6TMZlM1Lr3\nhoUwt168eKEMmQgJYJ5Uq1VjJcIaZ8bWQCBgLFbOMGEMS7/f17n02WefmXAdrHcwvq4r0MNEadls\n1nhpLi8vDSka1lOpVFL2xFKpZAr6YC7V63VJp9PqYX39+rWu88lkYlKNsX/l83ltcywWk3q9rpZ6\nMpnUtnS7XeM1gXAKNsJt3noYIlfzCYJQDOMX2MOEZ2LMLi4utF3FYlHnRbFYvJZpwsRJnM7KwoRk\nXgueMW0csl2XJun1RnhrtjBLJacGe0nMOCuJUyNxb9S5wDVo1zqSOq/cagWBi3CwuzeRSBjKTy5a\nwdSxnObFse3pdKoLJZ/PGxYqKB5QKHD97u6ubryBQMDU4uaa47yRcbEQTvNiJaLf7xulZrlc6ubd\n6XQMYIcPQbxnpVLRTWC5XMrGxoYBXUKazaa60riIkZfVj+PGHLflCoIiV5v3YDAwfbxcLrU/HMfR\ndsZiMe3zUqmk75VIJMyCmM1mJuUKG3+32zVpjtgc+/2+oXRlBYEr7nG7SqWSMgdub2/Ly5cvFVh1\ncnKiCg/nlzuOo3MjlUrp+yPFkvuDuTgwNvF4XK/n6n2FQkGm06mODR/EHK7hsfQWQWJXcrFY1Njs\nJ598Ip9//rmIiHz66afyz//8zyIi8r3vfU8ZEguFgnzxxRfy7W9/W0RW84R5KNAvPC8QvoPCkclk\ndOPn6qTsoh8MBrpmUMSI4/MYm729PV0/jUZDN75sNqtzBvdBPzFL4XQ61b4Yj8e6zhj8xuBLjBO7\n9TlkiM+ZTMakM0PJEbEb/3K5lM8++0z7jNciU+MymIyNHwZZeg+LZDKpc+js7Eyrox4dHZkKiFiP\n3W5XQ1dciRPtQbjg/PzchFugIPFhirTG+/fvi8hqnqE/KpWK4XhBKKrX6+khjJRfhFw2NzdVKeD9\niIGMwWBQlbpoNCqO4+icKxQKuobT6bTOmcViofMjk8noO4zHY2k0GvocbhuHtfhQT6fT0ul0DCaA\nD3+s+V6vp9dHIpFr4MSbUhgZgM5tYfAhFx/DdV5hI4/5ahiYfpP4IQZffPHFF1988eWa3GoPAhMF\nNRoNdd1xXQBOpavVaqrJuq5rNEbWxrm4Bn/PVn4wGDRWgjfFhMFXsATq9bohnVkul2rNsBu03W6r\nNd1qtUxGAYMnuXALc4eHQiFNL2y1Wvq8jY0NQ/xUq9WMm4nT/24KN0QiEe1D9m54mQNhiUwmE0MA\nxSCZ2WxmiE4Ydcu1IZhwJRwOG+uO3bgcLmIE8Hg8NiEI9ojAsuViO+VyWftie3tbnjx5om0bDoeG\nkAjjxCmPBwcH2q7j42OZTqcaiuj3+2plVatVzRy4uLjQz5VKRVOxvvzyS7lz544y6XG4Yn9/X71W\nBwcH+pt79+6Z0MHTp0/Vsnz16pV+bjab6nplvvZ4PH4tNZg9clhb//M//6PvUqlUdP11Oh1JpVKm\nKAxnG7E3A/OmWq3q5729PWk2mzo3Op2O/o2zknZ3dw34kGspsDUK61LkKtVY5CpbQGQ1572FvSCc\ndppMJuX09FREVt4t3CuZTBorU2Q9yHG5XJo0WDyrVCrp5zt37sjJyYlJ4UWfwaMkstrn4PWYTqem\nRgaHSEqlko4fg46DwaAJyx4eHmrbBoOBerc4lMQ1BgaDgfZrtVqV2WymIdhSqWSAjeyFxTplkOKD\nBw/kd7/7nUHYw1N4cnKi83RjY0PXbz6fN54VZgMNBoM6/7jOynK5VJDlvXv3TPjmq6++0v2AAexe\nojQu3cx1RtgjySRcXKfFW5eDvQYMjvaSuDGAnrPqOFsCv8V7Yj9rNBprvQXePXud3GoFARuRyMql\nhs5hWtZCoWDccFw0g2OgHOfkzAdmB+NNixe5iEWNcubB/v6+fs7lcvLVV1+ZqoQcR+W28QbNqG3E\n1PF/vD8Xe5pOpxqGYIa/crkstVpNf+etZ8+xNo5vcdEPdtHzwc0xU2//sMuXD2suysQ0ocwVwXXp\nQRvM9LSc/oRNlJkHgRTmqo3edDp85gOG0dQc5rh3755e//HHH+th/dFHH+nm+OGHH6rr/rvf/a78\n8pe/lL/5m78REZG//du/lR/96EcissIHfPrppyIi8vOf/1z+8i//UkRE/uVf/kV++MMf6vc/+clP\n5Le//a2IiPz4xz+W//3f/xWRFYbg17/+tYiIfOc739HPP/rRj+TnP/+5iIj87Gc/k1/84hfyne98\nR0RWaYsIFzx+/FgePnwoIiJffPGFPHjwQERWKWc4UM7Pz+X+/fvKq5DNZtUtjzEUseE+MAFifiCk\nIWJZHhG3FlmtLVb2+v2+YbnDQfjtb3/bVMbjmDW+DwQCks/n9fBmHgJWHHK5nPme05TD4bC+Wzgc\nNlUzuQIk2pzNZlURZoyCiFUweD/hAyEQCJg0a2YMZbcwc1KcnZ3pfVutlqFErtVqRilh5ZtTPjlc\n+fLlS+1PxjTNZjPDQ8HhR+ZEefHihfbTy5cvdfwuLy+1zznE0+l0TIGrYrFoik1xCipjXSDZbFbv\nlc1m5c6dO5r9M5/PNdzAfDV8mLquq33ZbreNksh4NW8ojw97b5FArrTJ+zbTOzOnBXNHsDDjKQwz\niDckgXdgRVrEYnSYDpoLz71L/BCDL7744osvvvhyTW61ByEUChnwBwPDuM43l26GB2A4HBptqlgs\nGs0MViLnYLuua5C9ImKQ0+zu4vxc5gpgrY4LvzBpTrVaNXzwDOrjrIbxeKzPL5VKhsUM1tPW1pYi\ndXu9nqnlwEVAUqmUvjNbY0xMwpwDaBtbUyxs2aGvgLJl7gDmMcfzmajIWyaXPQCZTEafz33JQFCU\np+b8cM5cYA8EXOez2cwUsSqXywp4evDggXoHfvazn8l//ud/isjKawAr6Uc/+pH893//t/Yr9xN7\nZJhoikNH7FnJZDJmDk6nU20no8OXy6WOz3Q6NbVAeD5ynY3hcKifq9WqhkGePHmiXoZf//rX8umn\nn+r7FAoF9SCgtgjeBWO+ubkpzWZT10q/31cXMfMTzOdz9cDM53N9r/Pzc6lUKobZkd3qzF0Cb1a3\n21ULvt1uy+bmpsmx57ACW1CYC2yh7e3tydnZmRkPDjugnVyXg0vJN5tNw5jH62w+n2uILJ1O6zXD\n4dDUIWDGTQaWZrNZYyXiexRbwrppt9vaf8vlUse/0WiYYkFoC7ws7IWB1wigU2+fcYEyhBvRtlar\nZfZD5l5Bn7XbbX1/ALi51g0XLONwE8ix+v2+YZtstVqG2ZQLVHEYAPOUeTBAmoR34yJxmUxGn8Mh\nZ9d117KuYjzxTCZRY8AgxobrubDXgtcshGuUwAPKdULgnfKGHhhk+7bvvHKrFQQ+YJhJkd0zImLc\nc1gQcI9hQBipzCGCdrutG3+73dbBKBQK4rquDvzZ2ZlJu8GGzwRC8/lczs7OdOGGQiETlmBCIkxc\nr0IRiUT0OdlsVicrI/VHo5Fuljs7O9pmuFHX1SYvlUqqSDCimrM7EGfHcxCDwzVcOAsKGhNFIXWH\n0dnoG95sGGuRyWT0Xo7jmM2GyXF4Ew+FQqayJys5w+HQUMWy4oB2cuGoi4sLyWQy2jflcll/x0oh\nx2Pb7baO0Zs3b2Rra0vdnffu3dOUs7t37+oByWmGx8fH5vOzZ8+U3OfLL7/UuP/Tp0/l3r17IrKK\nn+L7J0+e6PcnJydyeHiomIQ7d+4ogc3u7q4i3ZntjuvXMzMehLNyMBfy+byOBWcNiazWJrIwODY9\nHo9NBUMmA0omk3pAJZNJkwWBGHI8HtdnXlxcGMKZxWJhwnxwPTuOY94F45fP5/XgL5fLcnZ2ZvYQ\nvoaVYmYlxP6Ty+WkWq3qukPxJrzzOtKgvb09dfejyiQT5WA9tNttnbPsou/1elKtVrWfR6ORYpcY\nn9Rut3WcNzc3TWoxCj5B0B+Mo+JQHBsrUGKhsIRCIZ2PoVBI+4kp8SeTiWKlsK8xGyrGjIsYsRLB\nVNWXl5fy+eefm7AO5hOHdYPBoM7pi4sL7S9QiLPBxDTezMyLz2Al5bTxdeRIy+VSUzOfPn1q9kwm\npeMsCPzdey8vniUQCOgc5nuxgor+wPd4hhdrs078EIMvvvjiiy+++HJNbrUHgYlOGAjEhXtuKggD\ny3JdSdF+v29IPrhwEQOuZrOZWoqs2UWjUQMwYoBSqVRSrXU6nZqQBzTBYrGo983lcqr9RSIR1V5x\nby5ow7UouC/wm36/L+FwWN3C3lKjECYn4gIus9lMLi4u1AJCyAN/g5XR7/eNxs8FUZhAht1lHBa4\nuLjQ3+TzeeOGZMDYYrFQy5LLEPM4w10PjwqPeTAY1HbGYjFjfeCdu92uhMNhU9YXltmzZ8/U3fn0\n6VO1mL744gv9/Pvf/14++eQT+dWvfiUiIj/96U/ln/7pn0RE5K//+q/l7/7u70RkBTIED8EPf/hD\npWB+//335fHjxwogPDk50Wc+fvzYkBEBcPjo0SMNF/zjP/6j/MVf/IUCG3/yk58oadIPfvAD/fyN\nb3xD0fnb29vyu9/9TkRWISomiuJCTsx7waCyQqEgT5480f/v7OwY7xJnm2DeeQt3pdNp4+mCpVmt\nVvX6ZrOplnk0GlULPBaLmXmbSCR0bnGIiSnR9/b2FGR6fHxsQlbj8VjXLIcLmCqa63rAska2iMhV\nCC4ajWo/f/nll9qWVqulFjOvNwjWQ6fT0b2By8qDxwN/29vb0/acnJyYEBfmMoOKE4mEPH/+XPsJ\noTGRldcHv3Ucx2R4cUiA96DxeKxrk4sNiVyFc3jPgeudLWD0UzAY1HuFQiGzB+/u7uq9JpOJeheZ\n0pv7ks8D8KqgTcxZUyqVdM9Ip9PG9e8tF89WP3sNME/ZE4V3g7B3gOcWt9nLa+LlPOFS6thPvdkS\n3K/8+V1yqxWEWCxm3N8cW8QhwtzlXAAEBxo6CUVxcC90YqPRMCxbWCgXFxcm/sPxt36/rxsKx/+w\naLDxeYk1vAehyFWddPyeSUM4bjocDvV6rguPNohcZwQbj8e6cU0mE33P4+Njw5CGA75Wq5niJMVi\nUd/l8vLSEJswCxkfvBxPj8fja7EavAjYPYqiQwj5MKFSoVAwFQMZ6d7v9w2OBGOTSCSMi5tDB4xT\nWCwWutmfnJzo4fvFF1/In/3Zn4nIihXvz//8z/UzYvidTudawTBOU2KkMo8TDol6vS6JREI3RQ7f\n5PN5TesqFov6/hxKSyQShmGvXq8bDAhvYjhgDw4ONH1wc3NTTk9P9YBuNBoaIqtWqzr+SKHFvTgF\n8PDw0KQpYrM/Pz/XeZLL5XT9cTEjkdV6xNyu1+v6Lr1ezxRbw7iCeQ/vycZDr9fT52SzWcPkiT4O\nh8OG+Kjdbhs2VPQFV0zklOn33ntPnj59algD8U6RSETDVdPp1KRJY14giwr9xNiCXq+nCiofABhz\n9EE0GtU5wAW+RqORwTBwnRZW2OLxuPY5M6YGg0F9/mg00vWDNGVew3yQc1sZd8OhUF73lUrF4HIw\nT0ulks55Tg3d2tqSarWq4/nVV1/pczY3N3UPSqVSOrcZm1IsFiWVSpnzhEOzvGdxyiGntzKmiENm\n9Xpd++zJkyfmgGYFgfuP9yMOfTBREn4Pg89bAZIVbK9h/HXFDzH44osvvvjiiy/X5FZ7ELgyF/Ld\nRSyxBJMmnZ+fq/WQz+dlsViolsiW7Gw20+sDgYBq5YPBQDVm13UlGAyq9sbIe8dxVPtjYqBkMinl\nctkgZ9E2rp8+nU5VY+ec/kajIdls1vAYwFPCOcjxeFzvy0RJbNmjn+Bu7PV66p6MRCL6TH7/RqMh\nx8fHpkoclxpl0hlYP0Ani6xcdf1+X/s8nU6bmulssXCusDd0wu5i/G02mxmQGoeYeG5w6V0Ak/je\n6D/8Ph6Py2QyUXflZ599pl4XtsS8NR5gPW1sbMjz58/VRf/kyROt2fDo0SN1kT569MgQw+Dz48eP\n5e7du/Lo0SMRWQEbkUXxrW99S/7t3/5NRGxY4uOPP9YQwZ07d+S3v/2tWr2ff/65jvPnn3+uY3ty\ncmJoq9m9vlwuTYYAwh2DweAaiZbIyps1n8/N2sL1nHnR7Xa1XbxOAJLkeiLsaeFKoxiDQCCg6wKU\n3pzjjr+1221tSyKR0PZ3Oh1TXjmXyxlCHM62YSAfrn/w4IFatru7u8ZTxZlDlUpF1wZzIjAnC96X\nqyniegY9JxIJXTO9Xs9UN6zX6+pp4+wttAffoy9EbDgyGAzqfOb7opS2yGo/4TLYXH9gY2PDhCUA\nzK3X6/obriUBbwTXD8D14XBY5wLqueA37A0UuQKTJpNJBeDeu3fP1LPBvOz1eno9qkTifdhze3Z2\nZkqkezOH8Ldut2tqALHXBN459C2u9/7LHmUIAyHZA+st8+zl1cB65tLh/Dxv6GOd3GoFwXEc43rB\n5MBkEbGpXOFwWA9OuIeYtAXXpVIp47pmMhhWEKLRqKJzvXUIGMHM7slSqaSHMlxdaDO78eBS4+uT\nyaT0+31tD1juRFaTHYcYNl20Be8CzAA2Tg7FXF5e6sZXKpWMGx8TqVgsSqFQ0HZzyCKTyai77u7d\nu/p5Pp/r84+Ojq6V5cZkTafTuoiYoTCZTOomiHfnAjXY4NgNypgDMNfxwsHvwB8PWReTQ1oTp4By\nmhra7DiO9svOzo6myR0eHsrTp08VN/DZZ59pUaX/+q//kh/84AcisiJH+ulPfyoiIv/+7/8u3/3u\nd0VkRVr0/e9/XxH93/rWt9RF/b3vfc/UvMfn6XSqz9/f35fLy0t57733RGSlFGCePHr0SAsnPXr0\naO1cqlQqxl0cCoW0z6LRqCmigwNlOp1Kr9dTpYgV8U6nowoS5pjI6uDGJt7pdCSbzZpMFswHLsLD\n9T8SiYTBBnDJcA4zMj4JoRqRFbEP1vbp6anZQ8bjsSkXDHfxl19+qbUodnd3dRM/Pj6W8/Nz/f9w\nONQ5d3p6qv3HsWuko4pcxbHXxb3n87mORSAQMAcn4vDeaxaLhc5TMMDiM9rSarVMPZTxeKx7Jcet\nOTvAdV0T/kwkEvp/kLphbHA9Y1DK5bIhbRK5IlU7PT1VfAkrRayEcAo4Qo+M6YLxxvVgwuGwKWjF\nRaSGw6Eq5lzumY2P+Xyu1ywWC3Ngc0o3p0yi3yDMzMhZBYwnYMXDiyVgJQ64LhGbccbZY1xUi0mz\nvk6o4VYrCLPZTCc0p+x4iw1hcWxtbZnYervdNpONQU041FKplKE6xuGAtDx0MhfUuLi40LQ0tEHk\nCvzGlgomIR/WrLE3m03D6sdVvvB/9AWnreD6TCZjeBSYpZCVEsdxTCU2LDQG4czncykUCvocLmjC\nNcs51zeVSum4wMrjGB4raPgd5y23Wi3VhFGlD/0Eq0VkpTywNcS4CV7gvHFyHjPHi9lK8vZtLBbT\ng81xHN2sOVd6f39fix1tbW0ZqllmO3Nd1xTJYbY1TsdlVsHXr1/r55cvXxrwJPq13W6bYlWu66p1\nO5vNdD0wyJbn/Gg0Ui8BxhCAsXg8rkoB41OWy6VabJlMxigO+Xxe07w4JxyWNp7P6Wuz2UwVrng8\nbvABjDXi+Yd7RaNRCQQChvuAvQYcJ8a8uLy81MI//X7fAJIZ2Fsulw0TI8bi6OhID7eLiwvDzDgY\nDLQ/mBUyFAoZDBPmCDAXGDPmseBDmT0o8JJhbTx//twYTywcT+f5j/WFPmOlAGOWy+V0/5pOp8ab\nxlVcGfTL3jk+rJkrIBAImIJf/X5f3yWXy6lSk0wmTZosgJ2JRMKAVnmf63a7+s4HBwemAizaD6wS\n5slsNjP8Obx/eIsscT8xboKLkrGCwF4CPvC9RZf4/lwlkj0G7Hnja5g9ktcMFw77OiBFH4Pgiy++\n+OKLL75ck1vtQRgOh4YxkLUndh9C+z0/PzeIeGZi7HQ6ao2xxssuqb29PdUwwVzIbkJcwyla3W7X\npG9xbJFDHPl8Xq3GxWJhEMj4DTIvoCXXajW9V71eV3Q97gFhrR6asogt95lIJNR1yOmPIqJtAXkI\nI8fxblzGNJVKqSbNHgcQeUCbZrd4Nps1rjvWxBnbwNp8r9dTzbrT6RjLiNN9GB8hcoUduEmb5mJP\n6HP0QSaT0TYnEgm17Jj5rdPpmHYlEgmT2gcSpFKppARGOzs7SmCUz+fVYi8Wi1KtVnVuPnv2TENB\nFxcXOhdevHihbXny5In23+PHjyUUCmkhp1QqpayQzKW/ubkp//Ef/yEiK4sN6wpoeE7Hw3xir0ul\nUjGWIcIgIqs5sC6dlsfJyyLXbrd13nMKMuNONjc31RqPxWJqsbmuK6VSSS1AJsFiC5ALpAWDQb3X\nYrEw654JhDidlveMyWRi6g1wFgKHSBhpHgwG1RvgOI6GKzc2NqTf75t4PsR1XZM2jPviO94D8ZnZ\nNzmFW+Rqb+TYPtqJ/ohGo/ou6XRaPRtcqKjf78u9e/dMLQK29Dn9EZ6BZrOp6xKZRmhnKBTSd4vH\n46bwEaeTc+YYh5yYHI1DKZFIRD0IW1tbhnlwPB4bDzPuzaFQJlpDiIFTKHFv9iAFg0GD2+LUSvbu\nMBsqezr5e96n8Hy+Bu/PWDUeV+/175JbrSAsFgvjYkPHM1dALpczbkwuyLS9vX2N5U/E0t7O53Od\nEK7rKqgMVM182Kyr5MWhBxQHgSs2n8/rpuB9LwYyAkiDHHCuoIiJm8lkdBFycZNAIGAq2fH7seuc\nmfCi0ahhbkO/IK2MwYwcx+KFz4VWmG2Sq0ECTCayWuDMash552hXMpk0bmXGY3BOejweN8x3fCix\nu5Fzyjl+yCBVkdUC4zARxnwymZhqiHhOrVbTvqhWqwarcHBwoNen02kFbx0fHytXwQcffKBz+M6d\nO9J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5L8yMMgsTR1gmxTAWMologyiwZWRsWACbNsY1ncntUK2TqrmgW8PjtsVlnea4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krDlphgQN67+sI61vauVOYRSkdpwSxlI+LL8XrWwyDzI9OemFvktqOTVcZ3KV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XC4716SiRUFCZ8PQyzEjXVZ4YVE1w/h/hCK7f/H8pXQJlvf2kCKKcMUE3KaRKmJIaWUUkoppZRS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\n6fV6oq2v12vZyHXEU2Y5jo6ORNjY29ujxWIhwsNgMJA6a8dE9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fD4XsSRRlarDMIZZRlt+qp4QWiWOxuBqjWDRKDN9LmXNeJTSWYxX2UQOaEuT4\nT2UtXoVfz1oLCKGJ+7IdwurguAimIlQWTViwBBVtYMdsfTG7vxZiw4IA/45bu/LvXA6+xm1XQ5ML\n/h+ymYXqZD2fQtnGBBJZZv5b61t4HaqzTMtapKTzk1XPFBNDUVOCdV9OerL9NCdVrAs+S+T7VFjp\naqFw2ObWHg2yLWNjJzaZaxOx1U+kiSml36YqNfKZkHKihdpKp9NQmUImlyLva79hHeS1pXjEYIUI\nWvnhOxosHwJGEVOS9ltIKQ29aykJf2pkE0NGRkZGRkbGEtaaQUjVLlM1a0t61CR+luouy1SkenEj\nUtgLTerVyqpJ4Bi5gGyCFvYV0ygsByetvKF2lulaf2v3rXdS6UD5nWNsgswrxCgw0ESjhWiF0ub3\nEZY3uKUZhtoxxLRYQEdVi3q1qF/ZDyRToB3dLMdsrF+G7mtjku/h7pGyjjK9Iv0sxH7g70WYKsuZ\nVCuzxfLJeqJZQGtjbicrzFf2BSyD3PEyNg9qDntFTL+xNFPbLPR8DKuauFeFNf9YWGsBAWFN4tgg\nchGyJqgidh5EURuoli+mY/1u5blKp8L3cRc261Q4CZwstGgFzc4o32XEzCWh+7G0U9JKfSdmvpCT\ns/Z3CKtQiNbioP2mjYdY2kUn3tA3jwlLDKSfNZMX5qMtsNYEry1QWlvw30h/Y+y+FseP7xYxZ2j5\nYt00U4occzJ6COuvzU3a+LNMMZawY5m/rIUe08J21fqXZoqyoI1lrf6pKDKHh+ZlmZa25lihuprw\nEBJaQkqRVv6Uds0mhoyMjIyMjIwlrD2DoElBKZqolKIkXRzyKCZ6KdVbeYXytX7D/Qa0emmbgGiS\nZREmATUzhrb3AUNKyxZNqUnVmlNWqimEf09x7JIaYoqmbGmzGjNlaTuhcmuMCrZtalpWuiHtwdIa\nU+lG2X6WKUiWzSpniKLmdK2+QUTuiGG5oReaJFLMcKFvTqRrgXhYFUZOWJEqWv1D5eH3rbJZDqxS\nc0fWJZUpkmWx8teeCTGF1vwRYjwshOa5FHbWKpcc0ynMFqOIw3qsbBZT8CodE4uktfYCwiqTNT8j\nO6VlG0PIUMCi1FXq89okpT2DE6R8NwWaICAnF4Zmp9QoTjzVbRVvekSMckxZ+LX/tbRD7WblnbIB\njbVAhCZuS1gKLbzW+9jPrbazhABZt5RJWaPINepZLkKYhyV8W5MzLtylUmlpJ0gLmiKgUcBoYoh9\nM77W2jyTLYaRAAAgAElEQVTWzlymlL6hbWCFEUavclfBmPA/ny+2XbcEBmuBliYGhGX+SRHkQ7Ao\n/VUEqaIICe9Etk+C9XwqrLkphmxiyMjIyMjIyFjCWjMIGv3LsDQwlOpTzQPovGdR70WcWlLeCT2j\nOSaGNCD5ruYMKa9T43M1x0S8L7XcohKwxvJY3zCkdRfNF9tSmhUszTbU/pqmbznDhrTylN/lfUsz\nSjE3MEuiecTHTBlWnTXvf1lGjN3HI8dl24ccBq1IDkSKk680H1ge+girz1jMgnwX/8dnQ3sFlMtl\nZ37BSBh8rogDtIaQichKI+SsmfKNiNJMqNKUYUWIhfY6WEVDD7FyKe+m9DtrA6rUuS22v4OFtRYQ\niOIfNkSVykkhtvAiiiyioc6tDZDQrmmyvCFaVN7XzBaxDUFCnQjLjBO/FBZCE2HKwJeIUWNyscG/\ntToWyVvmYwkO2rMaUqMbiggNWn1T6FqtPebzuVt0uLzcZ6rVKrXbbSIiarVa1Gg0iIhoOBxSr9ej\n8/NzIiIaj8cmla59F27LFBs6mhgwuiH1e1oTZ2gh1cIcNd8czVcgZBayBCxscxScMOSSyxXznZL5\nrIKYuUGWXwqYKeZHCyF/qJBPC8PyF7Dmz5Ry4ljRFnL5nVGQxW8b+i7WhmQhoKCMc38R09NaCwir\nLDA4UcoF1hIQtAU1xhhoC7cMv8KOExIK5LXmWFhkQkixbYUELxwwvHjIiS+0+KYKc/xsKC1rUZPv\nx7Q2q1wagxB7f5V+GVu0i9pGZX1T7OZ4j9/nBWl3d5eIiO7du0ff//73iYjo+9//Pr399ttERNTp\ndNz7Z2dn9Pz5c3r06BEREf3yl7+k//zP/yQiol//+tf08OFDlw8ugiFhC/fgsPqZtRdESHhLeSYm\nvFnQ3kHNXiszv4d5WguxZE3wu1nzQRHWIoYYq8WwHJtRcGBYWr/1vsRlhR8rT4ZWZkRsDpNKVSgv\nK38tfe0ay4TjuUhfzj4IGRkZGRkZGUtYawYhFSw9oS2Tw6I0bTx02BAjZDuz2AjtuRiVnyoRF9FY\nrQ2ZNC0Cvbal7RUlURm5YGnBVjmtdtLYmMuYBqz8LduoLFvIrBBjo7S6xe6zlqwxATLvEJtimRi0\nfFH73N/fp+9+97v0t3/7t0RE9Nd//dd08+ZNIlp888FgQEQL1oD7x3A4pHa7Td/4xjeIiOi73/0u\n/cM//AMREf3bv/0b/dM//RMREf3kJz+hL7/8Ui0Hatohu7f1LbSNi2Sbab/zM0j9Sg3eYgbk+IiN\naaSktTGTQuUz5JyVErmh1WEVJsGCNrciU6T9FitXEVymDqH2SzU/aH02xrpYzLOVn+Vrov29CtZa\nQLDsfPwb/4+HDaHDIZoPQoMjRNMW8SGQWIW2xLxwUsSY7NBCLOsZm1RkrLIsvyUIaINDWyytRVr7\nFtJcsAr1G7O5a9dYbsusExIipLCRKhhoSBUEtbBCLjN+p2azSUREu7u7dOPGDSIiunv3Lt25c4eI\niL75zW/SW2+9RW+88QYREW1sbNB4PCaihW8B+xmcn5/TaDRSyzWfz52J4u///u/p+vXrRER0/fp1\n+sd//EciIvrd737nzFXcRpYgq/kmyHaV78cmS20sSEGZyB4PsX0/UCgILQyYNo4ha2xp5YohpW+h\nwJFi/tT+1u6HQhuL7idQRCm6LGImKqJlQUBrP8ukpN1Ds4AFGc4aU0ys9dJCNjFkZGRkZGRkLGHt\nGQRLimSpCs0KcofAFFOCTDdFkrTA0n+ISgvloaWH5bJYDIvKT8lHk/hRg8HIBcvEIGHlX9TMYmlj\nsqyWphnqP1ISj/UByTKE6hYybViw8sR0NGZFM1HwGLh69Sp9/etfJyKi9957z13fuXOHDg8PiYio\n3W5Tq9Vy+VxcXNDFxQURLViDfr9PRAuzAjIAWDfsl5ubm/T+++8T0cKx8Vvf+hYREf3hD39wzMS1\na9doa2vLvXNyckIff/wxERF9+OGH9OmnnxIR0enpqamRobe2DHnT2lJjkzStHMdvrI9b7IYF+QyO\nO42plHkQxZ38ZB6pJheG5bStsTxWn9UiMv6vwNLALXYvFDmRyjAVZZckrHy0aIWikSNrLSBYsE4j\nxGvu6K/S5lbEZqghlTLTBAlpVkB6VU5UWtoheo/z453SeOIM0aDaPggajVqEJgwtkiH7rUW3WWUL\nlcMSBKw8rPuh8mu/c3tWq1VnFmg2m+67DYdDt3APh0Pzm7fbbbp79y4REX3ve9+j733ve0REdP/+\nfdrf3yciokaj4fKoVquer8FgMHD5DAYDt6ij4MF5S4GBrzc3N12e77zzjmtLK+RzNptRt9slIqKP\nP/6Y/ud//oeIiH72s5/Rb3/7WyIievbsGQ2HQ5eWbFMrnNHa4U9O1tifsf/jtSU4hMYJIiQ4am2j\nCfuhMsiySLDShO0gy4WQwkKKwoV5S+q9SGhhDLHwbQ0p4zR0bc17UkCT/SrFX0mDlj5+P4xw4XTx\nGyUpiMmlycjIyMjIyPizwVozCCjBovSFpgQtcoGv+T1MT94LSVmWUxSWRWMTrFjWmEQXcraytGEp\nXUpJHdvBStuS5nHvdawnmhtiErsmzRaRpC3TAaYln4+ZOGS5LMdEqUGl1CX0/bjNKpWKo/V3dnZo\nb2/PORC+9dZb9NWvfpWIiG7duuWo+LOzM6dZ/8d//Af97ne/I6KFSWBvb8+ZDG7dukX3798nooUG\nzw6DrVaL6vU6ERHV63V3PZvN6OLiwjEIw+HQOSPKHRGtyAFOh8vD91utlrtmpoJo4fw4mUwcA4HX\nh4eHLqLi/fffdwzCz3/+c/qv//ovIiJ68OABjcdjb5dFrd3l3guSxtdoZcuUZjma8f+pjomyfPJZ\nLKc1fkL5y2uGnFvkhliaKUHOnbIMGiMg50b5bIw5SHUA/1O9nwrZNppjJpvCLIT6lpWnxhrIjbZS\n0yMiKhV5+P8ajo6O5tvb20TkT9bl8ssz4+X9kBc6Q9LtIYpK200NP4J2cFFRSilkP9VoJvmuHOiY\nvxXFgZ2TJ+fpdEqj0cjRysPh0C0co9HIW0T4GW0RsRZirY6y7S1boNYmsb9DecoyxswKqaYHWRbu\np51Oh65evUpECx8ADiW8ffs23bp1i46OjohoEW2gmYNwEXz48CF9/vnnRET0+PFjKpVKLgphf3/f\nmQ/m8znVajUiWpgr+Br7LD/H33EwGHh+JwwtZBb7kCaU1mo12tjYcO9zeufn59Ttdp0gMplM3PuN\nRsPt2Nhqtdw7x8fHbmOmP/7xj/Tll1/S48ePiYjoiy++cL+dnJyY0REhxMxnWr+07qXcD6HoWLHK\nie+wzwaaZjUlKxb5FfP1QEjlKWVsW0L9nwIxfw4iW0nE30L3U8xKqeWUc42mBFcqFWeKOzs7oy++\n+CLYgNnEkJGRkZGRkbGEtTYxyAiFGIPA7xAtS7waRYq/Ey173aJmJKU9dF7CtFLNFyksg6TyNecl\nSS9hvpYGjNBoYgtSG5F11Cj5IhoAaqVcthh1G/tdy19rF4vWTWENMJ9SqeTMB7u7u3T79m0iInr7\n7bed6eD27dtu34BGo+FR/tjPZX/k61u3btG1a9fcPdyvYDAY0OnpKREtNHVun2az6cwVnU7HlXE+\nn3tmBTyXwerP8jtbDqyTycSlu7Gx4dKezWbOzMDpYp1ZA5pMJo4NOTg4cOaS9957j0qlkmuzWq3m\n8vzyyy/p5z//OREtNm36xS9+QUQLpkXWzYqQsLRx/DvWB0PQ+nXINBVLI8WsIJkyCxbTxmkVKaf8\nrqFxmcoWxsp8WSB7FzIfS/OQVc9VWQPtnRRH86JtsfYCAgsCFiVGpC+2TMlqDYYDRw4oXJBxgZ5M\nJkk2I6SVJMWk5R/6oLKjaRvDyAXZmtSLLNYx+g8FBFmWywzW2GRQ1M6bMgnHzCIxupcnZ26PK1eu\n0FtvvUVERH/xF39BX/va14iI6I033qCdnR0iWvgAoFkKFy48oAeBfX48Hrv8J5MJDQYDj1bk0MTR\naOSZDk5OTohoQcOz6Y5NEjzOcFHHcmFfrlarVKvV3DtYB/QNmM1mrizdbtcbm4eHh64+aL4ajUae\nWQ1trmx62NjY8Po9mkiuXLlCf/d3f0dERN/+9rfpgw8+ICKin/70p+68iIcPH5pjMwRLeA0JtTE/\nAflcqaRHXkikREtIgQbHrdxUToaH4zt8nTpXabAEstT3V4VlEgnlF5qHcK5L9cNKSddCzC+N88C1\noYhpLZsYMjIyMjIyMpaw1gxCuVx2NCKaFfhvBmomKPGGYkI1KR+lctZetI2CUGPB9zWzRmo9EZZz\nmBUdIfOTLIosi+WIFQLmI73GU9gQ2d6alsP3NSfDWNm0fKznNJYgZkqwtA9mudgB8Vvf+pY7DfEb\n3/iGiy5oNpuu/SaTicdMTadT79RMfq5er7u88EjlarXq3R8Oh97Ry/htOa35fO5p/OxkenZ2RqPR\nyFH5pVLJXSMbMJ1OHRtwfn7umbY6nY5zgMS+gQzAeDx2zMRoNPI2YZrP526c7+zsOPNHu932jpvm\nPJgt4XqOx2O3d0O/33dsxGw2c6dR7u3tOXPPz372M/rNb37jTDFWn5Nac8w5ViJkBkg1HaTkLc2P\n2pzBc6PGDmCfl5FgWP/QPBUD5xd7xzLjrIJVzZ2yzlqEAqZvzddFIwqsNFLWEy2iJAVrLSBUq9Vo\ntIKcxK2IhtDAQ7pXbpKiCQ+ph7ZgXqGJx3ofJ65UqmyVQRVKA3er0xYefF4bhNoAsSZLrm+MOpW/\npdiGLdOBFBBCtKo2WZZKi6OS2ZTw3nvvuc2BDg8PVQGX7f5EL4UFjCRBQYBpdaTY5/O5FyJ4cXHh\nTQooCGB5sZ/zgloqlZyQQUQu6oBoIaCgiQIX5MFg4HnEs39Dq9VybdPr9dwGSKenp27h5rHFAsNw\nOHSLP06IGxsbrpyTycSbC6bTqSszCgUoIOH8cffuXefDcHR0RFevXqWf/OQnRLSIkNDGTarwnOIP\nEBIQQoKAlY9cfLT+K02x1mIv+7jlt4XzkUyDIRcna97T7PvyeQ0pC6FFsRc1K0mFL9VEEvqGMaFC\nli91N2BLiIlh7QUEnGCxc2mTvWQQ+Fn+H681DRonZ80Jsag0KDukZeeT76TYkLRFjNtIkzhDgyNV\n68aJx5qc5CRiTYrawsvfBf9OfV+rg9QMY8xACLKdOd2DgwP6y7/8S/rhD39IRIuTDXkhQh8adL67\nuLjwnArRV2A0GnkLHAsF29vbqv24VCpRp9Nx6SEbgf0M64oCSa/Xo0aj4co2n8+dBo8Cc6/Xoxcv\nXrjyS18JLH+n03FlxpBF9oF4/vy5x84RvWQFsCwsQHD63P+m06nHSGDYZqVSccIG14fbmYWYd955\nh7rdLh0fHxMR0b//+7+7PLGd5DwT0vrxOtb/QwxB7H3ttxRNWd5HQcxi9LT3Y0J6yPkT/w8ttpaA\nLstmCQtFw1yt56TDoWQTtDrLfpKiMFltkSocWN8vZb3KPggZGRkZGRkZS1h7BkGGnRDZ9nApCVoa\nqPQ1KGqPtxAKBSri7R+y+/Hv2jMyf01rSAEyMprEH5KSpQZRhFZliT1Fy7DKLNO1TCFWm4UiRBiV\nSoXu3btHRItIha9//et0584dIlrY9Fkz3tvbcxp0vV53mvnW1parW6/Xo+fPnzvtHPvjaDRyZTg9\nPXV0PRF5Hv2dTseFTc7nc+r1eu6ds7MzlxYDNaPZbEaDwcBp3f1+34250Wjk3sONjdg3iMtARF4U\nA7IZ6FuADMDx8bFjV0qll17YaDrgdLDc/Mx0OvW+p8Ya4DhHM8rR0RG9+eab9MUXXxAR0aeffkof\nffTRUj6SgbIQ0tos04X82xonobRC/ZmvQ/5JDPmcZaa1ypPCQEikaPfS/Cjzjs2TsjzWN0Q2RZZR\nYxHkO9ZmUKsCmR2r3NJXimFdW1hrAcHqoNKUoNGAsQ+lCQjaLlqxUBb5oawPx+XG5zSEbHhWnrID\nWx1Do+5T7Wq48Ms85OSgCXVyEGntynngwEgZ4JiOpP60ckozTOib8XPVatXZ53/4wx/Se++9R0RE\n7777LlWrVbfAv3jxwr3z7NkzR7d3Oh11q+Nms0k3b950YYfHx8eOikcTGxF5Cz8LIfV6nTY3N52A\nsLm56cp55coVd312duYJGNbk02w2vQOa2JFvPB57PhSy7XHxlr4GnC6e4Fir1VyboYlgPp97+WgH\nJ/H7+G208VwqvdyaVjqC3rhxwwl5/X7fhaCWy2VX5xcvXrhvMRqNlvqIJZRqC6f2nGV+0Oaa0Lwm\n+7i1cMg5RxOAQ/Zwi9K3ngs9syqKpmM9H6pnSECz2p/nPCm44thIgTVn8W/WupHiyKi+V+jpjIyM\njIyMjD8LrDWDQBSn2GNUFUp8WpiijFzQWASi5cgFjcFgc4flZBOqUwwplJLcHMqSjEN0vwS2Mzrc\nWR7I0sSgsTuz2cyLjpAmBtRAtPdD5UxlemQbsnb7xhtvuIiEb3/7207LvHbtmtPGS6WS07IvLi7o\n5OTElblWq7m+cnp66rzwj4+PHUvQbreduaFer3tMwe7urjuWGY94Pjs7c5Q7btp1cXHhwgaJFuYL\nLufW1pYLWdze3nY0fK/XcyGG3MZcnslk4tpGHisdOsOEtfPRaORFWDCtPxwO3THQGxsb3nc+Pj72\nwj6R0eN2bjabriwc5onjTHOYRG2O6GXfGI1GdPXqVfrxj39MREQ//vGPPcfOL7/8koiIPvjgA/rX\nf/1XIiL67//+b3f+RSyKSWPH5MZGGgtj/SafkXla8ww+x8/E5iYLIfZBjveUMZuiVaeyh1ZZQ3nI\nKIKQ1o7vaPWWrKWVr/VcKP8QtHWkqIljrQUEXIiQXpF+B0Vt3jgJSW9qhDVY5WKD+zNYscOaDU3L\nT9bHMqVYZQlRmimQ7ZxiD7UoRnxXTtYITYjjdFMGe8i72TIx8IJyeHhI7777Lv3oRz8iIqLvfOc7\nLgqh0Wi4tHFXQYw64HphhAGjWq2694bDIT1//pyIFvZ8jO/HGH8sOx6cNRqN3DOlUslbhHCcdLtd\nz4bPfgJI79frdVcv3uGQ/Qtwh0QpiEuzBP6tCZKlUskL3+Tr7e1tKpVKrg1wHwfs/yggYlvyc9p8\ngMBnpJc7Tta8GyWXmQW0v/mbv3GHat29e5d++tOfEhHRhx9+SKenp6aJIWQiwGvNbGAJDtpvMaFA\npoMKkPyelvlNpqnVOUVYkHWw/Jti9bCUq1i5QrDmZjYRWWYFa26yhAq5TvFcEfK1sBTDFKEiZc7P\nJoaMjIyMjIyMJaw1g1Au+3v+47UGSUlJZ7wiziLSKQqBkrE8RCqk0cfKzO9oseshZxXLpBDKy5I+\nLYo/5NQTup9Cw+Ez+Bu+E6pbSJLWvkW1WnW76v3gBz+g73//+/Tuu+8S0UKjR4qcgW2O35g1BNyv\nAw8lwrZkLR2v+/0+NRoNL8JBe4eIvP6P7Ycs2Hw+9841QA2eHSZbrZZnLhoMBlG6MuYcZ/UtbcwN\nh0PPZLC5uelFQWimwOFwuNTPkUHA/NAsqEUoybrgToyDwcA7/4UPxXr//ffd87VajX75y196OzFq\n7RBiFkLl0d6X+YSew+ctEwOR336W6cHaryU0f2jlCm3kE6LlZVm1fFZFantqbLWcj0ORDNbY0eY2\n2faWuSOlHilttPYCAk7KjKL2K/4bB6RG48fCVbRdHaW5wzIFWEi1PVnRCam2xBQaVMsTD/HRaDxZ\n7tBkhQJXKIpDaz95nTJ5ysmQ/7569ao7WfHOnTt0eHjobPKDwcDrJzxBbmxseKF0TP1Lvwk0N0ka\nkX/DRXAwGHjhgOPx2F3LdLUJl/PXFuX5fO4WPmx7DDnkUxaxzmg+CbWvJshhP5FjgZ/HnROJls0S\nbHrY3Nz0toBGsyARuTSazaYTsBqNhho+ORgMvEOspIDKaeIJmEwxc153794looU/yMXFBf32t791\nf8cgv0/K+LPoeQ0xIYO/a+hEQJmvnHPkmEVzhbZwamNWm7tD83mKYrIqYgqTZV4m8ucpTTFFFBWK\nQnOjth6mvq8+m/xkRkZGRkZGxp8N1ppBIPKd9GLx9ZrErVHZEpZkKjVQ7bhpPDjHouO4LJYznoVQ\n5EKKGUM6v8ToepZqNbamUqk4LSulvfhdTeIOmXtCWhLWOYVuw+dKpZKLIrh37547xOfWrVs0Ho89\nD3X+jrVazcXHY9x9pVJZMiNg7L7mfISaeblc9s5iGI/HTmvG7b7RGVL2f9ae+bAnbGcsC7Yn54l7\nNQyHQy8KotFouCiIRqPhvhM6THLaGuMmNU5rzOIBUXiQEp7/gHsqDIdDT3tC7R4ZmX6/75mGuJ0a\njYZz1CyXy95ZEHxgFdFLRkeWv1qtOgZhc3PTYzc++OADb48JrG+KA2KqAzHCmg+09PkZ6Tkfex+h\nOYKiMzL2eQ2S6cL+g+xYKksSotVXac9V3sE8cfxhu4SczrHNLOYlhUGxvuVrb2Kwdkks8jH5PTmJ\n4nVoosPFnydeFBBC9juEzCPVnqR1HBQcLNqvCEJ5Wp04BM3XIOR1i/QkDraUdko1sdTrdXrzzTeJ\niOjtt9+m+/fvE9FiM6HBYOC8/fv9vnfqIFPXaJtGm78mVKGJgOuGiysKG2z/x8VT7nLHecrIBf69\nUql4v2HIHqeL0Qmz2cwJBBzyiP2en2u3205Awp0Th8MhjcdjlWJFQQj7zHw+d++zzwXn0+/3Hf3f\n6/W8cyow/JHbkAUCbufNzU0nYDUaDXe/Uqm4RXw0GjlzC7c/l63Varm0t7a23HNSQOd6vvHGGzSb\nzVyZT09P6Te/+Y3LB6EJCK9SMNCgpct9JkY/y8Umha62zH8xvxWcW0I+ChYu235WWpYiJRfuFH8E\nvhdDaN7WFvyQgGetDRqyiSEjIyMjIyNjCWvNIFhmBSJd4opJlJoGZjnOMDR2IETjpDofhZyKrHxi\n1JGsR4q0bEnC8jcLGgWG2jCyAaxZorkCaVxmeZCB0Mqcyhrge51Ox9HYt2/fdt7pHIXCVDQ77fG7\nnA960eP9drtNnU7HabCVSsVzYNTadjKZOEr6+fPnzhueiJZofM1EMZlMXBn59EKLxUInP36/3+97\nmy5JxoLfH41G7sTDra0tb3OncrnsNG3JFKBzI5d/Y2PDMQiVSoUuLi7c1tHdbteVh9kJbj8GarNc\nZ41pmc/n3jHQfI3MCB8DzUwDbihVq9UcM9Dtdr32x355dHTk+tNnn33mTFTPnj0jDZojG7ZZTNvm\nd2JmwhAsp2+EdL6TJokijIJsM8scbJkeUvNBxObfGDsQa9cirIXGsMnf+Hccv6FnY2w1fuMUrLWA\nQGR/EC3yQKO3UBCIpSkhJyUt5NJaxEP5SCHA8nqVNnSE1gm0NtHStcom7ZQyTbRthwaSZT5AQUCG\npnFeloBkpa8NbI0uPzw8pMPDQ3fNix0fiMT1lL4G6B2P1DWn22g0PBu+ZQrAzbnQZ4GPRGYBZTab\neTZ0WSdZ79ls5h1VjGVrNpvuOTwESYZOyjbW7Mm9Xs9b7CuVilvwLy4uVF+X2Wzm1YsFivPzc+r1\neqoghW2D0HYyRUGG08YdI7EtptOpu89CIX/n09NTlRavVquujGgumkwm1G636eDggIgWZio+C+PF\nixfqnIOILRgp76T46sjnsJ0tc4MVLaWVUXtfzsdSqLbqjn3GWlhTBIeYwhYz0UhhLdQWmn8V0XKk\ng1UfbQ2wFv1YebRzflKEyLUXEIpAalwYTpQyWGODDm07KZq9HBCpA0/Lh/+WeRaZOFImJmsASaZB\n67RSy8HfcCdFKYRIPwdt4okNdKttWTPEEw/x4CQWVrTJp16vu/ebzaYr1/HxsWMAmPXAsD3NtorA\n+rMmzHsU4OFMsv+Evj/+jdo07i/AggEKThzipy1quMdHqVRyQtB8Pvc0+Gq16mnq2H68sI/HY+dw\nyKGk/CwKKdKnRwu55F34sG25bhhCiQ6XyEwMh0NvG2m5DwX2WWYTJINUrVadf8be3p4TFj799FOP\nBWJoDAL+bT1rPWPdk3Ngqr+DxvppY8z6TaubJSzIPENjW+v/Mm0tTS0t+Zz1DVZhZ/BdOR+m+Fek\n5CnbMMX3LYbsg5CRkZGRkZGxhLVnEEJ2HA2S3kVKDa9j6bG0bNFoqTYrTE+jYbXntLRTqL9UzSPG\nmljmGyuMU0r2molB+h2EwieLSPOWVM2/oWbI2jnS8tLcMR6P1faRBySxZnl+fu5trtRoNDx7Nn4b\nyRoQLTTTer3uftvY2FA1JalVYT/H/lSr1bwNiRiTycRjFvh5ZA84P0wb6Xp+fzweL4X64pkT/A7u\n5IgsjTzGGpkC3LQIN11ivwGi5f4pIz/wHdwVk685f84HTUSj0ciFQzabTbp69aorP7MUzBqx30m7\n3XbvNBoNz0SUMm+F5gK8TtF4JWsQmqdS2FX5PrKAsTKHznLBcuJ8bJkb5DuWf5TFPoSek/dTWF/J\ngGmsCb8fM8UgQv4DKetBijkCsfYCAkN+OC00ETsaT3yagCA7J+Yh84wh1WYl30kBdkJJ/Wk0Yigv\ni24MTULyd4TVkS2nx5R2Yd8Onrir1aop1FlmGAlerNC3YDabebvfWbvLoT8A5lGr1bxQRjzBEWP3\nMRQQbevT6dQJLpubm7S9ve2lhwsX3x8Oh54NnPNgsD8ACrXoMIll1CYxTZCZz+fet0AfFBSspEDF\n7+MOkeVy2S3CFxcX1O12Hf2/s7Pjyl+r1Zxgg+YSFFC5L6MggOXHEyB5Ed/Y2PBOlpR7TKAgyG2L\nPgjlctlzsqxWq+50yul06nwgut0uffDBB0RETojEduYySoUB28+6ls9ZZgctDelzoJljuZ6Ylmz/\nFMVIG6chJQbnDGlSCPk0WA7siJDfgvaOZrKNKakpAp5EEWfPmGIo0yvipJhNDBkZGRkZGRlLeG0Y\nhMCOvTQAACAASURBVBAsbdrSlC3nsRiQFkfpP1WaflUIpZka6hhKK/aOlFBTaT3U4EMRDTLsMVQ+\n1nK43s1m04Uwvvfee/SDH/yAiIi+/vWvO0cyzYyDWjuHHQ4GA/c7UvRE5GnGSGXjrn6S9eD79Xrd\nhfidnJzQcDj0zhdgTZXZBb7PwF0NOX1mJDgEkMuGGiTu/qiFIsq2QYoX68LpWn0HzQoMDK3ko5JZ\n657NZo5NqNfrXrQImiUQlue45QiHDAQ7leK3xdBW/JZcFi4r0Utmh7/T22+/TW+99RYREb377rv0\nL//yL0RE9M///M/0ySefuHQlg5fiOJjCGoTSknOjxhRo7IKV5mWc+SQDEGI3+H/5XTXmN9Quociu\n2LwVY5Q1BkgzfcSYnlTWltOPPZOSDuO1ERBSbXnSpGDR6lbHkQtSzAas0fKWPUrLIzbgsBOuItRg\n2ikTEtFySJmE5ems5WmFAlnAASavLYGvXC7TG2+8QUSLU/f+6q/+iogWkzVHB8jy42IpwYsy+gOM\nRiNvh0W0h2N/mEwmnq0aF3D2TeDniBaUNNrz0XO+3++7uPrt7W33PtLbp6enHsVeKpXcooZ7HGA9\nsVw8RlL6IQrIMpIH+wMLL9Vq1ZlycGtj3tUR+wbT/xgRIu35WBZLSMV+gqGNaOKROynKhUuLgkDT\n0Wg0on6/79q5Vqu5b/Od73zHRcvs7+87YeEXv/iFq4vsM5xv6DqmiDCkP4nWLvJZqy2thU0rTyqt\nrc2bcm5LmedSIxrQT4DvpZRvVUifA5me9j0tPwv5W2r+RZBNDBkZGRkZGRlLeG0YBCLdMVE6VaXS\ndyhZW79LzUhDTNvWyoH1CDnZSQeZotJhrBwWYtK5VeYi5gpsf0uTQWgezUQLLe8rX/mKMyV873vf\no3v37hHRgq7G2H+tz/Ae/8go8HP1et0zd2D9pWMjair8G2rwzWbTMxMw3c40uhUrzX+jw1u1WnVp\n7ezseJpyvV5315IpwDMSLMdCbNsQvW05NpZKJad1I5txdnbmnmd6H9vMcibG8x8sKhb7I15LBhEP\nW0MWAh0Qp9Pp0pHd/AxGh/R6PVe3ZrPpWJPRaER37twhIqIf/ehHXrv+/Oc/d3lYY9sa59IxMzSu\nNBpfmhgkrS/ziUGyB6mUtzaGLXYx1SyQwvpquKz5N3UOtN5JWaskm2A5k2oMTEr9XisBQTMLSFuW\nvNbo/hCdKhve6rihgVp0gKU+Y3ndXrYsMj/LRBITlngRDtn9rDz5Wg52q/w8iR8dHXk24GvXrjmh\nAEMWsS9o5iIM0+PrVqvlFg70aCfyt/ZFv4n5fO7KViqVvAOKGGjzZmGD3x+Px160AS58eNgQeuTj\njoHtdlsV8GT4IAoLCIsSLZfLS9tjSyGLy4bhsFxm3rGSIQ9i0+zOKIjJXQ05DVlObDMM4axWq15a\nuEBitIzlGY+RKyyAYbQK+5SUSiVv227ejvntt9+mp0+fEhHRJ598siSU4RgOCdraWLcoaus6BMuU\nqkX6xDbqKbJAWwqb1R8tGl6an0L+ANpiHQrNDJkytGsiOxwzVk9OS35DFH6LhjRqyCaGjIyMjIyM\njCW8VgwCAqUqbZMVSakR2RpwitcoQkuT00nV2EN5FpH0MZ2QI2DI/IIaP/5mUf6rsBKhzZEsxkHS\n0Jgve+3v7+97UQG/+tWvvGfYma/dbnuRBww+uhm1Ya0NpVOb3JgHJXssM9LVmC5udYy0OtZTUsKo\n5SCNito4buiEzAgeUS1pfCybNBdoGhdr/MzUnJ2duTadTCaeMyZq2bjpknbQEl8jA4Hlk1qjpQ2i\nKUHTzK0ICG4njXXhA6r4+dns5XHPGG2DZ1S0Wi3HbJ2fn7vnR6MRPXjwQDUFICzWSyt3zOFN9rNV\nmQZLg4+ZPrR0tLlBYxEZlpkREWITOA0NWl+SdbWYidCcayHErqbOryF2JxVrLyBgY2l2Spw40eYa\n8w2wJoiUDh6ioUIdODaI5POhjmKllTIAMG2L6tR+Q2jClmWakM9JocAKuULqHr9nqVSiK1euEBHR\njRs36MaNGy5aYTAYeAvXo0ePXHl54Wq3285OzosWlh2jAPgaBVF8nidHS/hCm6EMs+M8rAlS7nKI\nfVuaJDSzBNompVkBx48E51OtVt07JycnnrDTbDadmYN3ViQi2t3d9cw1eGokpi+/ObYNLmLaOJ/P\n50tCEvZHXMjxgCbpQY++Itq8gQICv0e0GP/NZjPqtzEYDFyf+8pXvuLCZ3u9Hp2cnLjzPHCxlLCE\noFUoZYsKt8Y8jkXu/0U24dHmnJgZ1FJkQqYCKy3LhCDvhSIN8H9LebLe154NlU2mZQmNofdjApRE\nNjFkZGRkZGRkLGHtGQSG1CAkdcaQJgaUAvE65mDD0KTHmGMXQjsWOhUpVJ9WVu3vFMZDQyjKw0rD\nkq6L7olg5bmxsUE3btwgIqJbt27RnTt3HK3b6/UcgyCZJtZiT05O6Pj4mIgWmmWr1XImC4w0QGi0\nPN+fTqfqRju4vTN+f+l8h/1ZMl/Y/9BcgO3a7Xa9LaXxnAONLsfyakwb7h3AbTmfz53Gu7Oz4zlT\nIrCcg8HAMQgS8tRGrC8zFZKpQ0pVes5bVDy2KzppIqMhvy3ucaGZLhqNBrXbbY9Rwe+vbWl99epV\nunv3LhEtjoR+8OCBM4elsI7W3zFIbRznTS6nNJdpmxYxy4MsTMwUJWGZjEKOyRaNLtnNIpq1hHQk\ntPpQCmLvpjAEIaYZv4fGtIbKouG1ERCI9M4tFwH5rAVNcEh53iqTBmtxDQ0Ia4KQg0Yzi6TY5LTy\ny4XbsvtqZQ49Y5UDIen10LOM7e1t2tvbIyKig4MD2tvb8w7l4felSUA7+piPIebFr16vu7R5H38u\nk9zxkdPFBV4eUMSQmxnh4phiq5TfnBdxPm/AWtQZUiiQ4wcnaxaWcBE9Pz93f19cXFCr1fKiNbic\nKLyMRiNvAyQE7vjIafD/fI1jezQaLY0BFL7RrIDPpMwJKAig6QHbRS4gMtSV3x+Px0s+FUSL73X9\n+nUiWggLh4eHrv7a8dCXgTaf8IKKJi+sG9bf6nMW/S/9FkLCAuZjzVsoSIfysBQObW7i/CxfDa3+\nVh0krEgFre/I8sg8NHOl5fOm5WW9Z+G1EhA0WGwCd260G+I1Tigp9qAQUsL6LNZC+7BWh8T0tYGe\nKsmH0pWDJTaItWttEtH+lrDeI/IHRrvdds6H29vb3kE8ROT5LSCjhLHuqE3i1sXD4dAJC5ubm85X\nAfOQ9cVvK53vtAkJvxNv06xtg4wCTrVadfZsbIuLiwtvj4BSqeSe29zcdNeNRsPzR8D8UBDY2Njw\n2obb4tmzZ944wz0isJ7ILOAW0vwetjmnJx0AtQVzPp979cd2kgu81u/xeQxlJfJP3ZTfDwUn/Gbl\n8stDsTBP+T4KQTs7O+7/Tqfj+hb7JhCFFZGUEGxMQz6Di59c7JFp0QQ0XoSlMC8ht6EPAb+ZxjrK\nBd0SUFLyCGnj8veQfwE+j/W01oBUYUP6x6z6PlHc/w6RfRAyMjIyMjIylvBaMgiSNdDMDSGEJG8p\n1caiAizJU/stRqGnUFmx9ywGIIUlkTReCDHTQ6ycqWYR7X69Xnc0OJ9xgNocYzgcqpK9PEa60Wg4\nrRUPZZK2aWzLULvhc5p3vqwj2q3R/IG7+jUaDS98jzcgGg6H1O/3XTghlh/PbNjd3fW0Yc7v4uKC\n5vO581vAthmPx067HQ6HrswyFBTTGwwGXhQDl6tWqy35cKDWjXXDw6rQVwNZBhwLk8nE25BJi4Ko\n1+tOY9/d3aV6ve6ZSLjNT09PHVOEbRmyZ+NvIS9/DH9st9vOhNXtdlXNOMQGyv4YM4FKWz62DbIG\nctMqab7FcauVWUbRWBFisv9Y2ngKOys1/lTm1DJLyHux90PsqrWGhL6XVVdsJ6t8mv9ICGsvIGgN\nGaKxGTyJaOFP0mYZG1wpZcJ8Y8+mdrzLwpo45IIWassibaANGGuAF6UIEdJ0hAtMrVbzFkIZXkfk\nmxg4ZI0nb1zI0M6Otmk5OcqF37ItanXXbNlYftw7gMuCJgIUKPh9XKzRXMC+FdVq1R1IRbTwL9BC\n/gaDgVssMbSSTQQoMKB/AwtbaG6Q2xdLMw8v3pPJxDk29no9l5Y0hTQaDSf8bG1tucV2c3PTo1j5\n/X6/7xxT2Z+C27bdbtPW1hYRLUwsnBYKQijETSYTzweCHU35OVxUNTMMmzhjwkdIeLbmCMsMwdcx\n8x8uyig48DUKClj+kDOhVV5rgdMUmNiciGMGEXrPUpQs4cVavGU74x4vVjunzn8I6YugzbdFzTDZ\nxJCRkZGRkZGxhLVnECxN13L+kqFTFq0Vo+csZyeiNKo/lHYRpDr8WGXQHJFS8iNKp/WkSSNkPigK\n7ZujdzmXBSlqpI4xHXZy297edhp0o9Gg+XzuNOV+v+92Zez3+95hS6gB8jVr0hpdi86wXG4uC2ps\nmvMp0fL5AajBW1qOdBLj45ZR+97e3nb1nc1m3i6HGIVwdnbmsRPy/AZkCniXQPxO8swJzP/g4MD7\nBpwWRlv0ej2X7mAw8CICut0uPXnyxKWNO2syU0K0CGklInr69KlrCz7QivtJs9n0NtFiBqHVannR\nIXggE9YJvwX2TTlP8fO7u7vU6XTcsdDPnz9332PVMYP9KWWuQG0Y+wZqwNpvGjBCBzdTkiyDxa5Z\nc600N2A9ZV1C9ZRpatea6SWlPBpSnkn5PRWSGbLOWdGw9gICI1TZUHw92ta0aysPbUEtuifAZYUD\nOaBWmTw0+tIaBNJeGUJq6E0szEwu9iHgwsSTNJ7WSERLWxvzZI/UcbPZdINoNBrRYDBwNuxer+c8\n958/f+5FBDClzUIFA3fwtCC/ZWgfAjR/oekEaVwZEaPRitiHeXHEtiJ6uQUy1x+FndPTU4/i5zzH\n4/HSd9NCO7E8s9nMefE3m00aDAb04sULIlos/riPA45nvt9qtVy5uUwYOcL5P3361Al47J9CRNTp\ndNzzL168oMFg4PoK5t/r9ZywsbGx4b75xsaGJ6Bg37au5TzDedy8eZPu379PX3zxhWvnhw8feu3F\n9Q/BUoKsOUgzh/H/2tiXCyIKC/g+voN7JWghzFq5Uue4VUy+qXlaPhBWua02w7+5vTUl1/q2mkCj\nKYmvSrjIJoaMjIyMjIyMJaw9gxCTlCTVbTn8aH8ThR32LC05JrGmSMeWs1FIgo6xHjFqP6ZlEhWX\nTIu0Syqs8nPZ0HmOvdbx8CP2yMcdEnm/AaKFlsga89nZmefMR/Ryg6ROp+MxEgh2qiuXy0vOfNwO\nzWbTk/6t9kEGYj5/uZNftVr1nBQ1GplNDxiFgZtA4Z4KTLejU910OqVWq+UxAOjFz+lKGlgeS83R\nDsiuYF22t7e9cy/6/b77BlwO/g0jVNh5FCn+UqnkoiP4b6wPlx/Pj2g0Gh7FLzdewn0wmG0pl8uu\nLzWbTVeuTqfjHf41m81cedAkIxkgzq/dbtO1a9fcbqBHR0f0/PlzIiKvXkU90uVzsbGp0dLSRBhi\nCvEdzEeLQkiFZBwt52bLZFrELKyxAZguMyCrsrjcFiHziExXc2q05vWiJnANay8gaLAm2xC9b9Ez\nUqiQHTIWpiMnzhDFl2J+kOXRIIWCojZ/WY6YQBF6X5tAYoJMavmswTUYDNxEypvx8EKAduNareYm\nfvSIH41GzozQ6/Xo7OzMLXDj8diz5yPdj2XgxWJra8tbPNhkwW2j2TmHw6Hn6Y40JAo4bCtnaF7j\n3F5ofuH85SZF/MxgMPBMB7g50nw+d+/P5/4um/x+s9mkfr/vynBxceEEjL29PTo4OHBtw0JApVJx\n1H+326Uvv/zSC81kU8Du7q77lu12W402Go/HdHZ2pvo9NJtNZxZAE0O5XPaEvXq97sqG/Ueepsll\n7PV6rixPnz6lnZ0dOjw8dHVmf4rxeOz6FvqKIPU+n89pY2OD9vf3iYjo8PDQCZy46RU/ywgJ4Kmm\nTU3IxDnE8ubn+mA6GFXDQGFdLlSppw6mKEkpipU2F2t0fZH5VBMqiHTFShNwtLkN72tCWcwsIdco\nbatvC9nEkJGRkZGRkbGEtWYQLMkOpT9rk4xQNAM/G8tTPodpapKoxKqUu/VeLE9ZV0sTsa5XLZds\n65iJwHomNWqi3+87jf/s7IzOzs7c8c+YNtLY/X7faZz8P9HLKATWNFECR+qVY9+JFhonapbsfEe0\niLHnePt6vU5vvPEGERFduXLFabZYVz6GGb39kZZmZmI6nXqOmUyjM5uCmxthRICmgY5Go6Wtpnnv\ngXq97q5x06FSqeTYjNlsRt1u1zPrXL16lYgW9Dun/ezZM7e/AG6adHJyQqenp+rx18iYYEQFHkCF\nbAkDf8dNpzAKhNNGhoHIZ0CQNSmVSuo+BrxpEzMipVLJ9YF6ve6xCZrGORqNqF6ve1svc5nYDCSh\nMX1FTZ3WHIpaq8Um8G+a1otOomjKQ1MWb6YVo78t5z9msIqynbKsWv0t07TcJCqWtlUma77Voh2k\niSbEaCO0uTVlbl9rAQEhK6vZuTSarcgibe16FSuXXBg1u3OqUBHCqrawoogNwtCAsMwPFrDN+Ron\nCAw/YoxGIycgPHr0iK5fv+4WeKQ4J5OJZ4/mhVt6x7daLZc+TnAcAiivS6WSd2Lh8+fP3aKwubnp\nqONGo+H5OjCNLOs4m/nnL6CQi4swetGjJ7+kFXFiw/MKUCiRz2A90YcBvyGH5Z2cnND29jZ1Oh33\nDvttnJycOEGg2Wx6+XC6k8lk6cwCRr/f90wB3Ga1Ws194/F47NUBfQXwEKharebywfMeZP9FHw6M\nopBhpvg8fhvccXJnZ8c7SIvT6vf7nuBSr9edUNBut52wgqYIouLj3DJxhqh1XHjxGvscC8s4n8no\nBaLFt8XxJ7/zq/K+R4TMDUVNNJpSqoUqp+QXei70TKiNtN9w0y0uN/4fQjYxZGRkZGRkZCzhtWEQ\niGxpcBW2QIOU3FM05Vg5tDLHyhmTWGNpaJKq1Aw0pFJpRZiCGN0laUSil3Tx9evX6f79+0REdO/e\nPadlffzxx/Ts2TMiWlD8H330kdMu8ZyC8/NzZ05AenN7e9uLdS+Xy+59Ph2RyHcYkzQg/l2tVp1j\n2nQ6ddTxdDqla9euEdFCm8JT+1CzRrPAZDLx6HJGpVLx9nxANgAjF/CkQnmaJbIxSJf3+32PNWHg\n0cW1Ws2Vf2trizqdjmvnarVKn376KREtNGWOPEA2Z3d31/tG0+nUvY/9XUZroFkHt8PGyAu+x2VB\nJzlL40VGATdNGo1GahQJtxv/j2dWjEYj7/wMZpOQKbq4uPD6IjIVcnMva5xZCDkohuYcbZ5Cs5T8\nLkTxjZPQ3KDtiWGxODGaXkOKKTXEusbaRP5dlM2Re0DItIo4o1vlTfkthLUWECT1pWFV2irVno9A\nShPTsQaoLLNmetDywnxinr8xT1rMI9YhtbAeKy3rfUSqn4f8m6nX/f19b3MdprG/+c1vusWGaCEI\nfPnll0S08JDnBbbRaHiLFZenUql44WulUsktVvw814frhGcPSOGI/Qg4fzRfsFmj0+k4wWN7e9s7\nCwL7MB49zVQ6kb9bHfpGlEol2tracpED9Xrd2cafPHlCT58+dW3E7Ye2e84Dbe1cZzygCanvjY0N\n56dAtNh4CEMo8SwIFsTm85fHbQ8GA2o0Gi6N+Xzu6jkajbyFU9tIihdu/oZ4ToTcEA0XXrmJFgpi\nXLfhcOiZWzgtfJbbCMcm1hm/Ewo41vhHhOYFTvNPASybtuByXdA+bwkCeNw6poN0fUiQscwg+L8s\ns0wn9nequcGaN/HbSpOhNb+FzAfa+/w8mnlC73LZ/2x2UsRJXXaMyw6UVIlL64T40WTZQvnFBr+E\nzAfvx8or/5adU9PSLosi6Vh21mq16mzdnU7HLTDomFgqlVyIWafTof39fc+xjhfIs7Mz1Z68sbHh\n8uRtk3kBGI1GntaICySGD3K69Xrda8PRaORi2q9du+a0xna77fLvdrvOea9erzuNnIjo+PjYlZ//\nJ1po4Px+qeQ7VWL7nZ+fu7rcvXuXjo6OiGixWx8v4sfHx24SGQ6HVK1WPQGDJ/6trS2vXdm3olqt\neqzH8fGxN05xgcb+h/fxN3QmxIUUfSjkxGkpDziurD1SeBLl74xsgkwLt1rG++Vy2bEGvV7PC+Fk\nvwneL4HIZym4LCgUodCmjXk5D1naZWyxtJ7TFmgpiOLiQ6SPYSy7rAd+c2nbx3RCgpH2rUNtYdXT\ngjaXx5iK2G+M1HnbUhgRod1riyD7IGRkZGRkZGQsYa0ZBNR68VqTTIle3f7UCE0jCWndlskjpM3E\nzB2peTBCdBxfr8LAxDyCV/kO8hs3m02nTe/t7TmtFTUu9E6vVCq0vb3taYD8W6/Xc1oeHvbDVD8D\nD19CWlvuK8+aOe+eSPSS3mbtEO3+vV7PHRx0enrqNMtut0uPHj0iopfhl1xm3Byo1+u5/Pv9vmMd\npCaEhyV1u11Xto2NDWei2dzcdGldXFzQZ599RkQvvc7RP4PzaTQa3o6VrE1ziCOfpYDlr9Vqnj8D\nUuycB7cRaqcYIYIRHRqDyPdR60bbOH8n7AuYhtR2sb/i2JJHVMsxLBkB/hbMdHW7Xe8sD/ZNwDBI\nLjuGWSKscZpiptAYA0u7jgHNc0S+WcdqP4S2MZA278U0Y40hSWkz+axlCpZzo2VKsNYmydRaYYqS\nfdHe0cwVaOKxgAxcDGstIGB8uLS1p9D1ocG1ClIa3OoQ8hlc0FJND9jJLysUWZ3IovhiZeO0im6t\nKlGtVr1TF9HhD23T/Aw7e7F9e2tryy1k7XZbtce12233TKlU8nwSOC9+BxcBrBvnV61WaX9/3y2q\n29vbXvgbOy/iDoe4QyOaNoj8cMj5fE6PHz8mogWNj9sZs/NjqVSi0WjktgdGoeLFixeO+j48PPSc\nQHlyPzk58cL8zs7OvImfBY/Dw0PXhtVqlXq9nnMUxdBCbk+GXNiJXoaf4rbEmikHTT3S3o/7KsgT\nLNE5TFsQeeK1/IxwgkaHRywDLnAoIOKWztJEgeYu3MYadwbFsS2vZXktxUKbT7j+lvAQ8wGQ8wQK\n0vgO+rPMZrOlaxS4NZ8MKWxIFFGsrLrwdYq5IWSa1dLV/C7k2oVp8z2+lu/L8sj6WeVORTYxZGRk\nZGRkZCxhrRkE9JRFaJtCWEhxatEQcpQJpSGld00ixvtSkpbQnvtTmFKwzJdBStlQetYkbtbG6vW6\nc1KUYYV8nzU2fIfrIOluzgsdFvld/A3z0rSkjY0NL3+ilzvg/f73v/dYA9wMh5+tVCrO+W84HFK3\n23WaPnrRHxwcuHK2Wi13/+HDh94GPtVq1dsxEuluzIep7Xv37tH777/vykJE7v0nT564kMVHjx65\n+tdqNafxz2YzevLkifsbGRFrJ0TUzFn7x90jMVpEUvucLu6EeXJy4trsypUrzsny8PDQtfN8Pncm\nkouLC4+xwI2W8PwNGQWBbAT2Eewn6ICIx3Lze/wO9jlkDTC0FuscAmrAFgNpMQn8v/Y+IjQXYP6W\n1i+jUDRHVb7W2j/GSKYyANazVjtLZ1gGziGSAdAYBTlfW6YL7TerjLE1CNeWlH601gICmhiIyKTb\n0LubEbPDW9RTzAtY5l/EZoiLfSitkKDA7xddiK3OeFmkRlnIUCCcKNBTHRcVIvIoWmugYTnQFICC\nA9qjceLhHfo4n/Pzc2/HOy4n7glQr9c9evj4+NgTCnAnQl54h8OhEyrq9bp7pt/ve17wuHBeXFy4\naI1areZ5x+PChVQ0hh/iDol4INHJyYmr4+PHj+nx48fO1LG5uekWWNwvAn04OFIDD5VC8wGeQImC\nDC6I2M6lUskLO+V6oiDIaXP+1WrVbWPd6XTcd3rx4oVXLjZF4RbQPKFrfieSEtb6Fb8nt6vme9r2\nzug3w3MBjgdNKEqZi/j5kDCgvW9B0vKWMibHOPooaBEt3MbaHi/oAyTLH/L10socWvRXUX6k34H8\nje/jtRaay+XU6iDrKOsSa4PLKIzZxJCRkZGRkZGxhLVnEFBTYg0CJcYQBZXqMFfE9MBIpQG1fFZ9\nvmh9pCYQ8q6N5WE9n+pUZN2XEjo6n6GXerPZdM+hlsr0JDqzIlODkr3mMEa00EhZ08R9AOr1uuoU\nNRgMvOtKpeLi3XFXQjzUqdFoeJol1kVSl0h9M7OwubnpRRpwuuVy2dNge72e+w3beTweuwOtut2u\nu8/a/JMnT4hoYcpAx8nr168T0cKsweUaDAbegU9yj348PwL3fuB0b968SUdHRy5CBU2JyIagVv3o\n0SPXFhx5wazN48ePPUaIWYdqterYkI2NDedI2m63vY22pMMgHkql9Wk0qWAbc/7oTMv5N5tNz8S0\nvb1Nt27dIiKi+/fvOwfUyWTi7X8hmUaLXbBYg9BzyIjE5jONWYg5yWnmBc2B0TrECfOQ/6c4RKfU\nST4rGQAcj9KZULsO5SnTxnRD5bOYgtic/NpHMUg7DQLNDfiMpPFi/gqy46dAUlqWiUICF0Wrc6eU\nRYs8sP62OmzRThd630orpVySnhsOh87WPBwOPRu4diARCwc8qeNWw41Gw226tLm56Z5BD/znz597\nIWg7Ozsu7clk4tmQGWiPZiEAdz9EWh8Hq3XwD9KfGP6HkQ+1Ws2VH0925E1+OM3Dw0P6+OOPl75H\nq9VS0z0/P6fz83NnCnnx4oULzcTohna77XarfPHiBQ2HwyV7M7cN9gf+zltbW05A6PV6dHx87IQS\nfB/NEnJRZYFiMBhQt9v1Tj7ECAOM1tCo34uLCy9tFESlbwGaq7j8HIWAfQD9E9AUhdEd6Olfr9ed\n8PXNb37T2977k08+cd8GIcdPEd8Bzt/yQSg6B0rFAPuvZgqWQgCadbDNsSxWHvwcmihC5lmtrgiL\ntgAAIABJREFUzNrfEjy3a31IXlvmgFQzrzZPh9Y/ue5o9UpRYrOJISMjIyMjI2MJa80gSCdFhrVl\np7WBkoQlMWsONDHEHGQ0dkHS4Ph7yMxQ1DFReuBqWvsqsLZT1ZwnNUce6fWLzw4GA6cZnp2dOS1q\nf3/f2wAH80RtotlsOtZga2vL0c3dbtdprN1u16U7GAzo6dOn3vbOrKk2m011Mxt0xGKvdc1hDZkG\npOT5Pf4f07PaZjKZuLYeDAaOZTk7O6Nr16659DY3N50p4fPPP3dl7nQ6jjWoVqtuO2hub2RAHjx4\nQEQLNoL3V0CNic9LQK98bk9kTTqdjmuL09NTpyU/fvzY228Bz1VoNpsu8gO3QG61Wq7OfAgX5ynP\nAuB3Go2GY4ZwnOJmRpwPRiFoex+gI2utVvOcLNGBs1wuewdHaZ76zD5w2kdHR/TOO+8Q0aJvcj2/\n+OIL12YaY5DizIiwTBHWnCNNcaF0MS10+GRIltFyNEemwWITZNmwLUOaedE5j+uC82aKiSFF608x\n90omIMRUa+tJCtZaQMDG1uxpGuQueFpnk/a3IrRUCBa1F3tHG7RFYAkokoZ6VdELlokk1KG18hIt\n75Y3n8+dbfn4+NgtUKPRyFHCGKLG4A2VGo2Gm6Dn87k7LKnb7ToaHSch9jRH+pwFFNxLfzabqZ7q\nnBaXDSMHMKIBw9xwM6jz83OvzJwGP4f3ON3RaOSF73300Ud08+ZNV2Zc1Lj9cDOf4XDo6nhxcUHP\nnz/36HJGu912ixX6CfT7fdrf33d1QIr4xYsXbhOnq1evusV+Mpm43RufPn3qefXzd5PfbzKZuPzR\nN4H9LthWj34PWM/ZbOa1GfsgbG5uLvmXMKRAjn0ZT/zE3SvxNzxUC8uF5go0SRAthB82N3zlK19x\n5q+zs7Ol8EfL219GWPB1ypxi+TqlzkdYl1DUg/Q70HZiRGFZlkWmh/XnMlhKXgqlz/fl4h0zMWB6\nIRMD/h4zD2iQgpgmFISiLjRkE0NGRkZGRkbGEl4bBkFuc4rQJF0p0UkaMuagw5Sgdtyy5fUr7xWN\nFNDSQS0n5jWsUYVFnBRT9zRYBZKes2KIUVNF57nJZOJ5p7NmNZlMqNlsek5u/D46OWJEwenpqccm\noMPZYDBwGtz29rYzPVy9etWxFLhNsNwKHNtwMpm4PEejkSv/1taWt7ETOuZhGmg6mc1m3qZHXP9+\nv+9R5riNNDIVg8HAadyNRsNzGERNnd/jMnP+0tz3/PlzxxTcv3/feeRfu3bNbQ89nU7po48+Ur8l\nbsmLmnGp9DJaqdVquXbFSJFGo0FbW1veXhKcVr1ed2wEsjKSTcCoEn6P80cTA4L7BUfacJ9ptVrm\nHIJmGJyTcHOmSqXi2I0bN264/R0ePXrkMWih8WyZMrEsKYyCFjlQBBZ1zukiw2tp3QyNTdBYA/5N\nSyvVLGuZPBGYnzQxWO+EHLet/RKs57W/Y3nEsNYCgqTONOrL8jvAUCN+h9/DjTmsQaMNsli0Ak4C\n2t8WpWkNSMvmKO/JPCx7WMzvQkNRmxaWE+mu0ECVzyD9z/cuLi48eyTf57A8PCyJF1L20Cd6uZAS\n+XQvCyS8KHEIHdFiUWV7/MXFhfNN2N/f9wQSfpZoIXzwpC43XWLTSavVcosXX2u+JljP4XDornd3\nd+nevXtEtAgZnM/nLnLhs88+cws0hlyOx2P3/o0bNzxKfmNjw5W5Xq87s8DOzo4TijDkslwu09nZ\nmTPLnJ+f069//eul8h8dHXkHbLG5p9/vU6PR8M7TQEEE08HvguGnzWbTvT8cDtXNiTCcEaMWNAGC\nBQQUpHDnxd3dXdcWe3t7NBqNnMBzcXGh7riJ5o75fO4JHjif4SZWnU6Hrl69SkSLHSKfPn1KROQO\nxtLmCkk9h0yp1nupJtcikNQ3/i2/s7aJGdFyVJomVEq/h8ssoprflhatIJ9N8XXA9/HbWO9YvmQx\nFPl+r42AIMNcNMdEuSOXFAS0UKyYVp7qAKQ9Yzn/aA5HKelhuiFhIYXdeFWQdj7JCGiDCJ/BiWJj\nY4Peeecd+sEPfkBERN/+9rfdrnpPnjyhDz/8kIh87fXmzZu0tbXl2kk6IPKignsP4GI5Go08BgGd\nDNGH4Pz83Gmww+HQLaLMUqB2jc53KCCwBtpqtbwFYXd313PA44Wn1+t52y6/9dZb7h1e+D788EM6\nPj52C9x0OvUWO/w+nFa323XMSLvddtsUEy2EAnZyRCfN+Xzu6swaM9fhypUr9OabbxLRgh1hYanf\n7zsh4sGDB27MscMlt9NwOPQc4zS2EMcvb/usORPWajUnANTrddcWyNLw4VL4N/q3cD9hdoXopa8G\nt9Hu7q63MyYKC6icSEaJy9toNFzdUPipVqtOEOl0Oq7/n56eemG32DbymiEXJOu5PxVwscfQRy4H\nsgnSd0yCnRJjvgYpZUp9TzopSqEm5ljMaWjXFnsQ8xmzmJJVkX0QMjIyMjIyMpaw1gwCagaSPdCY\nBc0kYUUxMCyzQarEbWns2ruWP0FIE4ixAdKkYNFRoXKuAk2ClfSe5l+glZk1pm9961v07rvv0te+\n9jUiWmjAHJp4fHzsmIG9vT13RsHOzo5HX3e7Xaf1o7f/YDBw17jzH9qsiRZaNmuduMMesgS4sQ4f\nKIV5yk2VuJ78zIMHD7x22t7edhoosh7T6dTR4Bim+PTpU/r888+JaBHKWC6XnQ270+lQp9MhogXF\nz+0yHA6dNn9xceFo9P39fbp9+zbduXPH1ZnHTLfb9Uw8yLpcvXrVixb42c9+5srM/gg3b9500RXz\n+dxtAMRtgaYk9HvgtuDf+B30M8B3ZISIprWjzVtq1XhEM5o10KyD80yv1/M2bkJGCM/ZaDQanukL\nWbNSqeT6Hc4HuLlSu912DAL61oQg58nQ/GWZDzX2lJ+PhdMV8QGwNlTSohsYaGbEdGJMsJZeCoUf\nimLQTKlch1UR8jNBaCHlmAb+H8JaCwhyIbXMAqGFHanLVLOClm6ojCm/W4u6fLaI+cGCFd6jlSX0\nfqr/gTQdxHwlcN+AVqvlqPNbt27R/v6+o3JfvHjhba/L5Tk4OPB2tTs5OXFOeufn524hnc9fbq/c\nbDa9g3+ksILOrGgW4MkKHfZwJ8KNjY0lQQShbaH84sULJ+zcunWL+v2+E5J6vZ77rVqten4PXBd0\ncGPnRdxxkt+5ceMGffWrX3Vl4bL94Q9/cL4Vn332GR0dHdGNGzeIaCFUsLkDF6TZbObs4BsbG/Ts\n2TNnH0e/h83NTXca5JUrV+j27dtEtOhLvENjr9ejbrfrtS3uEokCEi5WuAUy3+O2xfbGd9DXAinh\n+fxlaGKj0XB1xl0qZ7OZe0Y6kp6fn7v8t7a23HPo94CCKJabbelczmaz6S0quI8Hm3VqtdrSFto4\nt2nmy9DYZ5s+Q1usNRSh9uWcJ+dzzT8JzQj4zUI+CNJvIcXfycpfzlPyf3lPvpOSH9cnpYwSsbk9\n9r5ENjFkZGRkZGRkLGHtGQTLuzbGBvC7lvNOTJsuosVfhpHQnrGkQcvhT3P+035LhRbamWK60Og5\njYaT9DprSUQvtUsi8jaJqVarTgPd3t522mS/36fT01NH+yN1ixsqIZuAUQNMGyL9i6FpqFmxZo9s\nBGuiGlOAmxuh89t8Pnfa+Gg0olu3brnyHB4eujz39vacNrqxseHMBWhumc1mdHFx4bRuPC55Mpl4\n+/r/8Y9/dPmjlv6rX/2K/vd//5eIFgwCmwjeeustx0ZMJhO3K+FoNPIOFMIIkfPzc/XMCzRJ3Lx5\n093n78FtjtEqrVbLM0OgIyZGIEi6FTVLjKJAMwBGNRC9NBv1+33X/5DWx4gkZibQ/MLl5LBVLjOG\ndsoyonaM9WGn0aOjI2dKe/jwIZ2fnxfWGotGIYWiGFZxjJPlwvlAm8MtcwNvSKaZP+T9mKOfrItl\nLsCzX2LvaPdDSHkmxoSkmL9jWGsBASGjEDRIgaDodQhWyE7oI1r5xGinmFAQygcny9TOmuL3kAq0\n08m0sFyMWq3mxaf3+32PekVfE57gLy4uPNNBu9327NHo3a7tgzAajUy6FkPuZFQMv4PbBJfLZdre\n3na0NPojoK8C+iDUajVvC2CuN9eH6f4//OEPLs9PP/3UtcvZ2ZnbCXE4HFKr1fLKw4vaJ5984gQJ\neSARRjpcu3bNvdNut53ws7+/73b4a7Vazofh6dOn9OzZM7fA7u3tubJNJhMn2J2fnzvTz8HBgUfX\nY5sRvewbk8nEs7vzt8TFnA9q4rrt7Ox4kQu4qHM9W62WJ2xtbW25NsP2fPHihRfdgN8fd5JEU4j0\nDeD2QyGAT8Dk9se64WFj1WrV23uDhYXNzU13SFQIoXnuTxnBEKPuGTFTgNyJMbQzLqaDgnyKIGMt\n8NLnQFO6iJb9DFIEkVeJlDUw5XtnE0NGRkZGRkbGEtaeQUiSghI3+bAcA4sCpbQQhRfyMrU8hVPK\nJ00Hkh6LmRUkmxF6rigVJhkD6Rgmr4fDobvmTXswf4wpZ0e+zc1Nd81H+iItydoyOkMixY+x5qyZ\noAaL3xY1c9YAu92u00aJ/H3+5/O506A3Nzdd/ru7u24fhe3tbY8NQQfMcrns6HeMHJD9gCn+s7Mz\nj/5Hz/vNzU1XLiJyZR6Px05j5aOqucyNRsNtuvT55587Dfzw8NCZgjY3N2k2m3lMA2rjqFkzxY67\nWo7HYy9CBE05lUrF5Vmv111/QAfTK1euuEgNfgf3QcBoB0631Wq5tBqNBp2dnbkImS+++MKxEfKb\naxprqVTy9ssol8veLpfYt/j+ycmJa4tGo+HtvbG9ve3ywQ2kNjY23HW9Xvc0ahwbEpYjoDU/pjCq\nIcY0xWTLz2hRIbKcmKc0N+B8gt+m6K6EKSYGZg9iLK78/TKsQSg6QT7HsEw0KVh7AQGRsqhatijp\n6VpUMJAdF/NJXXARltdxqjfqKr4FKQi1i9Zxtc1DcLDhgEY7Peezv7/vNua5fv06dTod7wQ7Tqtc\nfnlKHk78s9nMW+Dm87m32CBdjb4VaIPH3RPxsKDxeOx8BZ48eeJ8ANA8cXR0RPv7+24hbrVaHl3P\nfhO4WP7xj3/0DuTBUyun06mz++/u7rq2abVaLvIA/SyIFpQ3l7lSqXhe+LwIbmxsOLr63r17bre+\nq1ev0pMnTzzzCefPfxMtqHcOrWQBi9v24ODARTE8fvzY80/AzYRwsufdFLnMuI02L4q7u7vOBl8u\nl923eP78OZ2cnHjfGfsGp4snQ+Ji2+/3vTafzWbufRlajVEQKDhYkVTD4dDzocFNr7hdKpUK9Xo9\nJ0hMJhNnViiXy66cm5ub3vbSOLZCkVwaeJ6y6GdrDmKsYkqVi52cj9FXRPN70oQAubMi5hWCJdgQ\n0ZJJ1FK4UqMjQmVCAUm7jgkHWpqWn0cKsokhIyMjIyMjYwmvFYPAsLyBNSmUgdRPisNOyNED88d4\nZvlOSmxuyEHQkgzl/VTp3ko39Td8xnJKkk6KmmMibgdcr9ed9r2zs0Obm5teTDxqcKxxbW9vL227\ny9qsdCrjsiDFLcssY9c5vv/Zs2fOyQ7fn81eHv38u9/9jg4ODpxGvre357TWs7Mz99xgMHBp9ft9\nT8tHKnswGLgDjojIadD37t1zbAQROUfG8/Nzbx+Bg4MD99xoNFIdJkulkmtzdgRF6po3N9rc3HTO\ne6VSyWnAx8fH9Mknn7i/O52OM3EcHR25tq3X684UcO3aNe9cDNxv4Pbt26793njjDY9NYNbkwYMH\n7vr8/NzbnAi1e2QQGo2Gd83aeKfToYODA9ef+v2+t/cE902MdkEnaf5elvkBy6XR4KPRyDt+vN/v\nu7Y8ODhwbdbpdNyW4teuXaPf//73nmOnNgZDztDIDoTMpKnmT+2dEMVuzW0yf2wzOdfjVstYvqKb\nE1nOh/K+ZF00UwQC+4mWHkM6Rl4WWnop6a61gCA7Tsx+JSkohGYKkNfyg8vOoQkNHH7D78tOVATS\njodphfwOsB4yz1dlgii6+QiRb/fHDWz4byJ/t8P5fO4mZyK/nS8uLjyKnyfRdrvtbMKynHL3PIxo\n4G/Wbrep0Wi4BRQ3KiIizycCwy4x3YcPHzr6vdPpuAX62rVr3mLBCx8KLrPZzDNZ4EQ3GAzo0aNH\n7v23336biBbUO9fz+PiYqtWqEyQODg48Wh/bgqnvwWDg2cPv3Lnjyv/06VMXDkn08kAjFgCIyAlk\nfG9/f9+dQFir1dTTJJvNphO8+PTFo6Mj12a8kJ+enjpzxWAwcO+cnp6678ILN491PJ2yWv1/7L3Z\ncxzJcT+eg7kHg8FN8Foud0mJq13t+ghF+E1+sZ/8zzrCT/6GbckRCtnS2lprpRX3AC8sCRIYHIPB\n3DOY+T1MZOJTiazq6iH1i8CqM4LBRk93VXV1dVXm55OZVXAoBovi4P06cCHCsFVcODE6Rs8F1veI\ngvdrfwr0YWi32xLFcn5+LlTQ+vq69DEroaxkpoWVWRFN8nAP+SDEzGfoG6H5fGyjnietdlk+AzEJ\nnXwh8DH+Abr92I5QH4eUqbT7J/iu1xQ5rhMWfZ5FMWSSSSaZZJJJJgvJtUYQfDCOTmHKYjlwWOdC\nDj5pLW6fVvcuxGeZhKyHt3kWq/1JMJx17ENn0Grme9B66vV6DkQ7m83Euh4MBgJ3b2xsiJV4cXFB\n5XLZsUZ8eRi43GKx6EQhYI4ETFuMCZTQMXI0Gl2BNBmBYIuXaD422MkQIWkcM1wH9o1lsZycnIhl\n/eMf/5g+/fRTIiL62c9+RicnJ/LeT05OBGmZzWYCURcKBaEVms0m/epXvyIiov/3//6fEwWxsrIi\nbd7c3JQ+29jYECfBZrNJGxsbUl6xWBQEo1gsynmE+A8ODhyv/5WVFWnbrVu3BO6vVCryLnifCSJy\n9mfg8cN9jpEP5XLZsdSRYsD8BrPZ5d4OOvYd3wUjUxZ14IPokT7DPSbY+u90OpK/gshFlBA16vf7\nglrxNtzWPgU+L/a0Hu1aLOg/yQq2IHrfdeiAjNRByDKOmd+S8itY91tohW6n/i0pcmNRiXG+xPlH\nX5MGQbjWCgJ+rCE4Cb1h0VNaX4cD0gdpaT7RohhQFuWP0voBhAaqTxZRFmKUHJ9nMrcRJ1hrscXz\n5+fnoiDwBj48qfZ6PccLnCfLfr8vi8NgMKBKpeJsHGRxqMhfFovFK1QIwvwIZ6I/BN9TKBSc8xhF\ncX5+Llw3bryEW1KPx2NnsdHC7cTnQoj+5OSEPvzwQyIiun//Pt27d09CEw8PD4UuaDQaoggNh0OJ\nSJjNZuI1f+/ePacNmKXw7t270uatrS15F7VajQqFgizE9+/fp/39felLVuQajYbU+f3330v7G40G\n3bt3TxQEneiKKZrhcChjo9VqieLDoYy4EOMx0hoYJogJtLgcbjOOU8y+iEoAZnXU+wSwlEolef/9\nft+Zh9g3ZXl5mfr9vlAm+M1gxsXhcOjs8YG0ChpJ2tvfEmtxjblf35MWLvdRDD5FRkebaWrB8jUI\nQe+6HN0ufWw9V5Ii8C4MQ2ssaR+MpHv13z94HwTfohwKabF47pj7uL7Q3/9/iM8BMM31VrtDz+Lj\n2EKatHVshQX5UAduz2QykQmZ7+XJHsP3yuWy3DMYDGThWV5epnq9Lveg8oGTrU6hjIv1+fm5kzuB\nrU7MfWA5XuJz4XOi8x7fv7m5KXWgZc0pgK0Jem1t7coOhkTzBYoXm06nQ0+fPhUFJ5/Py8KLGRpr\ntZr4bTSbTdkQq9vt0srKiiAAnU5HFvinT586ORnY4q3VavTZZ59JefV6XazjJ0+e0B/+8AcimvtH\ncL+srq6KY+X6+jqtrq7K8xweHgo68fLlS1FEMNcBOhnOZjPHmVA7I6I/AqIG2JeoYIxGI3k3w+FQ\n3oF+L8h/IwLB1/L75EW93W47IY+MzLDixv3Z7/dNXx30oanVao7Cwu0ginMy5HFqcdVW2CaRf7FO\nIzFO2Dhn+Lh1Pa9hlkttccdY9jHGVhqjzFJ2dJtDfZm0Nuk2vyvJfBAyySSTTDLJJJMrcq0RBCLb\no1N7qqe1ji0qAf/H6/8cKEKsJujzNYjhAd+FxHCO2ucghBpYyALRZeKhfr/vQP0aAcBES2wB12o1\nKpVKDgeOUREI3SFMiRbjcDh0MtlZVvtoNHIiZLj9fC+Pk1KpJOjG8fGxwPC1Wk149uFw6ITS4f4R\n+Xye7t+/T0SuBYsRCaurq7S3t0dE8zDLFy9eiLWNUQyDwUAQBEQd7ty5I+1dX1+ns7Mz+fvmzZtS\n1tHRkSRNOj4+lr7sdrv0+PFjxyJmpGQ4HIo1v76+LmgA+iwsLS3RN998I5TD/v6+lL26uioUQ71e\nd94ZRiFoSxg3SMLIAcsfACkiovk4YRQL6R8um6/Bc0iFoX9CqVQSNKTX6wktgsmY8vk81et1J3KC\nxyNGWxSLRUGj+Fu0IPYYS1mjsVEe7m+JHsRKyLfAF8Lu87vyoSShPgrNc/itx8yHuo91O9OU9edA\nDLRcawUBP3Yf742ifQt0rLIFqfkGJ79MC/rySYyiEmq/9ZsP/vedf5eOkqEQSmv3whD35XO+m81m\nDn9/enoqC8lkMhGeFnniXO4yrJEd93DBs3ZzxOPpdOpAz7ibJE7A+XxeOGx0bMQNhWq1mhOTf3x8\nLIvlwcGBEybIEPmNGzdk4Tw+PnZg5YcPHzpZEnmDpF6vJwv38fGxQP97e3viqEnkbnBFdJkJcX19\nXe6vVqsSljgYDKhQKEg9o9GIvvjiCyKa0yL8nJVKRfqc3xMvfuh30Ol0pJ/r9brUubKyIm357rvv\naDKZyN/FYtHJfcB14oZKnU7HUTAx42CtVnMcE31+B5g7o1AoODkFMGQS5wYfxYM+TcViUfq/1WqJ\nUnZyciLH5XLZCWVEXwlUsPDbwLHJmSC5PePxOOhvgP/jeYsy8VG5WAbSHURXv/GQM2Ka67TfV0hw\nPgn5G7DEKDy+eTZ0T0gWmY9DxmnMepSmvoxiyCSTTDLJJJNMrsi1RhB0aJiPZrDCxzixieWYFksb\noJbmc/5DSUIGrN8tLd9y3gk5DMa2gUXDcNbvoXaGPIBjQoSwfp1YZzqdimMXJhHC5Eb4XieTCZ2e\nnsrfs9lMoPxCoWBmP+R6uCwcZwjxYigdt4HrxA2JyuUyvf/++0RE9OjRI2lLr9eTvRC+/vproQXu\n379Pn3zyCRER/cM//ANdXFxI5ME333xDf/rTn4hojg6w8x97vhO5e0R0u10HSq9Wq2J1rq6uOs6L\njLa8fPlS6mDLG50eeYvnYrEoVu9kMhFaJ5fLOVkih8Oh0AVo9RYKBaFLMAqjWCxSt9s1ET2NDLAg\nxVOpVBxnRDzWeybgHg18Ta1Wc9rfbrflPVcqFec6pA5Q0Jm2Wq06m1Jh9k0LAeXtxrltSFFMp1PH\n4RFpDETRYsRCTX0oqk+SoHn9bPq8hvh18iHdTus3oksnY8sx0arbeq4QAhCD8PoS9yWJRe3MZjMv\nohF6H76yFpVrrSAgDBZSDlBB8EUixEJXutPxb98CH1o8rXu0p6tvcMa8+EUGRxpuEb2r09bpoxWw\nDZVKxdnoSLeJf/OFLxLNFy9efJB3X1tbcyZhy+uc6QbrY8OPGCFlInIWh+l0KlTI3t6etIUhdKL5\nYsN9+MUXX9C//uu/EtEchsYQTtwZ8s6dO5I9cWVlRWDsZrMpiyfTMKygMI3B1zHEv7GxIW3O5XIO\n501E0v5SqSRtQYrn5OREFkGMOiFycxSsrKyID8GDBw8knLJer8vCzzQA37e8vCw+JDdu3BD6o1qt\nCnWBYYG8cCKn74OYcZxxnw2HQ+p0OqKwDQYDZ6dQ7kOMz8ddPplu4r5rt9tCtxwfH0v/4DvX/ji8\noyWXZ0VOLC0tiQ/C+fk5dToduQdFz22+RUQbHL7FNMajPjazotVW/t83j8TSFYtcH4Lt9TV/Dh+A\nReZ0n79F7O8hySiGTDLJJJNMMsnkilx7BMHShkPwmHYw8mnWMXUT2U4hoYgIn4S0QjynnQGte96l\nZhuyBEIUgXXs+1uXhWUiDMye/hi5wJZuyMsZr2NLi2gOl7MFzbHvfD/WEXKAZQtwPB47TmlcHzvb\nsXU7HA4d+oHRjDdv3jiJcthKrVardHR0JFbbhx9+KNEBpVJJEhAdHByIZX/jxg362c9+RkRE//RP\n/0QffPCBbPD0+PFjoQ+ePXsmmyAVi0WxknGjpE6n43jUV6tVBzVgNOP27dtSf6/Xo+PjY+nnXC4n\nmRi3t7fp3r17RDTPkMjlHh8fO06af//3fy+ICCfIInKRhouLC7H6y+WynB8MBo6DIRE5zoRIm3D7\nc7mcOGKenJzQ+fm5RGiUSiV5llevXgkycOfOHUEzVldXnZj8k5MT2Tyq2WxeiTbgOi2Lud/vU6FQ\nkL5BJ0eU8XgsCEqr1XIiSUJRCRbSxmgszqFp8sJYVnaapEnc3hjK1ocU6oRO1v2+nAhWeXj+bZFY\nq35fXfoYkUqLlklaX9KiBijXWkGYzWYORGd5uvqUBc25pe3ENPCUD+LRi2LSIIzlyHzti5UkHwRs\ns2+xX6SN+Ddu1sSLLZ/DhRy9qH0LufYoZx+GdrstXD2mEEZvcF3PZDJxQiB54tfQLnqT40Y+g8FA\neH9UFohIIg8wCqJYLNLDhw9lIWu32wJ9/+lPfxLoGr3W0U+iVqtRs9l0slHyArexsSEL6f7+vpSb\ny+Ucfh/9LKrVqiQ0+vDDDyXt7/n5uSzQa2tr9MknnzgRBkzZnJ+fS9uGw6FDK7A/xuHhIRWLRWez\nJqZjmHIhusy4SDRXUP76r/+aiC4zL1obdKFSsLS0RK9evSIioufPn8smVL1eT1IXcz1Mi9y7d0/G\nUqvVkj7r9/tOyB1GRWDSI0zOpJN2YdItzBJZqVSc8cvf5snJifh9HB0dUavVSqRMQ3TW4ocXAAAg\nAElEQVSDFmsB8i2qvIha8HtsyF7MHKjbq+dWnVnRdx+RTTX5qMQYwf5c5P6Y67SCmab8tNcSZRRD\nJplkkkkmmWRiyLVGEHT+/ph84xqC8l27SBKQGK0xxknRJ1oT9zkw+p4rVBfCaEnoAToy+WgVRBMQ\nro9FF9iywu2V+/2+k29gNBrJfaPRyNGoEUHi5+M2Y9Icbtvh4aFYbI1GQ5zi2HqzNkvC7aqxrKWl\nJcd6xRwLmJCI6DLff6/Xk7LQ2YwTCLHDXi6XE6t1Mpk4+f9Z8vm8lDubzej9998XS/vevXtOSuVn\nz54R0dx5kpECjBRgaoD75tWrV7S7uyttZ+h7eXlZ+rVer9N4PBaLuFQqOUgDIwCff/65bF1cqVQE\nMVhaWqK9vT2pZzAYmJstIZXQ7XYFGdra2qJmsynRAu1224mKYdQINzvCcbW0tOTsn9FqtaT9mNBq\na2uL7t69K/2O+yJoRBPHHL4nPM/vbDQa0Wg0kn5CKrRQKEi5R0dHDuqCCb1QYhBVDaPjd4Kiz8c6\nzIX2StDXcj1J85l1H97v64vQ9YsgryGqRf+eRNsk5fOxqJuk+vX9aVDza60g+PhsIjeUxhroSZ0T\ny/P7lIKQ52iMIhGTqCO02Fp9Eaoj5hrLB8JSFpKUmDTezZ1OR2DU4+NjGgwGDjfM7/b8/NxRFnER\nR8WkWq0K3Lu0tCTKR6vVkgn54uJC+PC1tTUaDAZS9mg0crz4MXsiJsrBjZ/y+bxDmaB3Oh/r/R/4\nmEPkuM0YoTAajaRd3W5XFut8Pi/X3LhxgzY3N4XWePHiBf3xj3+UNvOzYKRFoVCQxfqDDz6g5eVl\n4bp3d3cF7l9aWpIoBExAtb6+ToeHh7Jgn5ycyHPiBlFra2ui+MxmM6FYOGqD7y8Wi6bCye+K6+B3\nPBwOaWdnR/ogn8/LAn94eOgowvhtsoKkQ6CRFpjNLhN3nZ6eynOtr6/LO6rX6844wW8AMyzigqT9\naYbDofQNJoQrl8vmTn2cTIrfIZejRXP7OjGSL3GcJTH0hD72+V0gt75onShWxBq3JaQkWPWH6lyE\n37f8tt5V2TE0t7V2+eTaKwgxjho+zsynecW+mEV5fos7etsYXN/5kKMMIhJp/Bt8563n0SgD/q0R\nBet9DAYDccTb3t6mnZ0dZ+thfJ+4wHP9zMejkx1PsGh1drtdub9YLF5xZMPyWDTKhE5qPNmPx2Pq\ndDoOv4z9jz4UuAMkIxjVapVWV1flt/Pzc+HQ+T5+fn4WzFB48+ZNOj09FYe5g4MDUbAajYYscFtb\nW+KweOvWLVnEOf8Cxv5zHoSDgwNZuDBXwJs3bxyF7fz8XKz2nZ0dCc38u7/7O2n/48ePxR/g5OSE\nKpWKLLC4qOq009gPOH663a6Mk9XVVcfXg5EFbc3z++N3YeVR0Js98Vg6PT0VZIjDLLl9iG7l83mn\n/fgt8DueTqdUrVZlzGC+j2azKWWh38Py8rITGkrkznV4LglNCN2TJD6rFxUky/Ll80nWcGiBRwmF\naYbmet89oYX3bZwAdZ0sej5exN9A3+v7O9i21LVlkkkmmWSSSSY/eLnWCIJPUENCy0LDThp6sTjs\nJFnEureg+LR1Wees8qxzqLGmCUWy6AUL+g0dx4juU4a3X7x44VjHH374obPHAFuJ/X7feX8YMob+\nBIgaEF36AxweHooFzWF1bPWNx2MHHeGy0GLE7I/8P5dXLpelLe1227RSCoWCPOP6+jptbm46UDa/\ns8lkIpaltgy5D5vNpmOBHhwcOHtRMJqwtrYmKMPa2ppA8kRzFIet+QcPHsh20T/5yU8kiuL09FSS\nMfV6PfEDIJojAmx1N5tNQRN+/etfO98cIxhLS0tULpcdXw2dRInPMdLDFjS+C+6D9fV1L0WEcL/e\nHhr32cD3iVkZEXVg653RAAzPxX1CrLlFZwFEnwik0jqdjiAgR0dHzuZloQgDPJeGgyZKh64m/e7z\nwbLmn5j5WM8peF0MZaAR6KQMjIv0nxaNBliILgo+v4W6pKkT642RH5SCgHArix6E74rX0eJzOLSc\nf2LKSvN3bLmhay0HSH2sF/qk6/lY+ynEpIPFj4gnQd6E6JtvviGi+eLNTm71el0mbvQn4JBBfIeY\n6Y8dzkqlkuPw9uLFCyKaKwT9fl9C+6rVqrMQY/ZAhFFxE6NarSbcMCob+mPnv0ejkSgRnEmS24zh\nb7gI1et10+FNh32tra0JRVAqlcR5sd/vS5gn8tzcJlYq0EluOBwK/XN2diZ9XqlU6OLiQp75/Pxc\nKJOPP/6YPvvsMyKaQ//cz99++634NvB7YD+Qdrstx7VazdmgiPtpeXn5yoZMmBmSaZleryftQt8S\nXJC5XNxRE7My8rHm7FlQ8eB7rJTuSJGwM6tP+J3jbpK1Wk36xacM8P8+ahXPJ+18m1ZCc0iS4LyZ\npk2+e3xzXkgJ8flBLNIuFN/85+sb7Atr7o8x8halwzOKIZNMMskkk0wyuSI/KATBgsI0asDaWygE\nJuTAiOd88FaIdlg0RzmXtei9SRKKPIj5DSNK9HGoP2JoGbbkbty4QTdu3BAo+uTkRKzB7e1tQRPe\nf/99sbiGwyFdXFw41hlbbsvLy3I/J6chIifE7auvvqI3b96Idfzee+9J/b1ez0l6g3CzthJxHwm0\nptixjzfoIbqE2Inm1jh7tXM7ucyVlRUpC0MOK5WKWLm3b9+mmzdv0j/+4z8S0Rxu5zBJ3PiJaE4f\ncFu5L58+fUrtdlus1kaj4WT1w0x+uPFRoVAQq/3jjz8WKuKPf/wj/eIXvyCiOSrxt3/7t/L+GM0Y\nDAb06tUrp28ZHWg0Gs4W0eyIWK1W5ZpCoeDA8rlczkk6hFa3tQkTb9zEz4kbOSEagMe5XO7KZl2I\nNCECgXspIJqEkTdMMxCRkxVSfxc45+i5LglB0JkTfRb0u4DSsZ6Qk6L1nDHiQ28twbkf0QC9fljO\nxKFyY9o3m82u0B0x6Aq+P2xnbBIqq6wYufYKgrXg+16Aj5/S9+jffR+aL3xEv0Rfnb7FMgSvxQyI\nRXI4WO3R9/PzJvkX+K5Jqs+aRGazmbM41Go1mTgHg4GEQD558kTOr6ysOLHqq6urzg54mB4Zd33E\nRRijFs7Ozug3v/kNERH95je/cSIckBbgkL+bN2/S/fv35RpcCHinQSLXo71UKjlpf/m4Vqs5CzLe\nw/H63GY+Xl9fl4X75cuX9OLFC1lk8vm8/HZyciJ8drlcliiIW7duSVnT6ZTa7bYoSL1ejz788EMp\ni30Yut2u9GWtVqNarSZ1np6eSn+Ox2NRhCaTCf3ud78jIqJPP/1U3tn9+/epVqtJO2/evCntXFtb\nE6Wg0WiI4lWr1RzOHiF+bis/JysI6E8wnU6ln8vlsrNTIm6QpH1NMPwRr5nNZs6Y47bp7xnhZkxN\nzUoOketTMp1O5Twqtb1e70rYLUuIYvApAaEIB30dt8snPmPLR8u+C4nxTbAWfr34/jnagqLphqT+\nCFEMROnm+xhFIaMYMskkk0wyySSTK3KtEQQNdSOtkKRVae1Yx7HHes0maXwWbJZGSwzB/TF1Jkla\nRyKd12DRekNtwXILhYJY5qurq1Sv1x1rlK/N5/Ni9R4fH4un/GAwoMlkIpA5Jt2ZTqdigfX7fbF4\nx+OxWJMXFxeOMxpnNiS6RBeIXGu8VqsJpM4IAgpbvUTkWJ1swff7fcfhMJfLOds0+7zK2REQHdmm\n0ym9efNGftve3pb2Ly8vizV6fn4uDpeHh4f0k5/8hIiIPvvsM1pbW5N+evr0qSAA9Xpd0JSf//zn\n8iyDwYDevHkj74P3NiByHfhwj4onT57Qw4cP5fjRo0didU+nU6F1Op2O9AVa2XjMCILOZsn3454e\n/J6RBmD0wOekiHkM0ALnOnDvChZMnGVRUfj+OKKC3wdGzuBGYLiXCCdtsrzt+W8tvmRC3GexyYK4\nrLROchpZ8NEPMSiDbl/MPb4oB/17mn7wtcG6T9MNvjwQoXJiEFrfmhXTR9deQUAoHukGPI9cphb8\noPCemLTNIc993z1aYbD8FkIf7bsQn0+F71odhaD/1veHBl7oQ7Y+jkKh4EQElMtlh6vFFMgsOHEz\nPKz5XaL5QoZRCCxIHfBY4AVqdXVVFiimN4jcHf84uRDff//+fSc0kevHZyG6HIvlcllS6LLXPUdR\n3Lp1SxSRXC4ni9jDhw9l4T48PBS4/ujoiG7duiVhi1988YWEH965c0f4/K2tLenLnZ0dub9ardKz\nZ88kidHy8rKzqDK3/6tf/UoULH4vCMXzorq+vi71Yyjh8vKyvIO1tTXa29sTmgZ3mnz48KEDxfPz\nVyqVK5M8X/f69WuhK3AHyGq1KostbvbFyZgsXwNUavQEjxTFdDp1np8F6Qoum8vCbIn9fl/e5/n5\nuRPZwUrB4eGhvNdWq+XMJyEqwTrPv+EcGMPh+86nTfTDdVtl+OZaH5VrScz8GopieNvojqRFPvZ6\ny1j09bvlt5CW0skohkwyySSTTDLJ5IpcawQBE9UQXWpSqEljHnyEirEM/s0HA6GgJhzSxkJJi3zW\n9iIwXlr4zedM6CtTX6MdEBFNsCIXdFmYXjmEoPB5hHoZGeD3iWXhu0XnMW2xTadTQQ2Gw6Hcj17r\nui82NzfF0q7VamLZjcdjBy7mdvZ6PYkOaLVa1O12xbFvfX3dsUzZgl5fXxeK4fvvv5c6vvzySzo7\nO5PY//v379OPfvQjIpqjCVz/V199JZsbVSoVcR7M5/N0dHQkmzIx+kA03+L4gw8+kD7jFMjr6+uC\nYHz77bf029/+Vqz7lZUVoQLq9bpYx2zVch+32215nh/96EdCq5TLZfrxj39MRPOkSehwiFtc5/N5\n+u677+Rvfp7PPvuMPv30U6kH8zXw+Ds5OaFvvvlGnhn3X1hfXxdLHZ1ZERkgch0d0ZkR68G5p1Qq\nybsolUpOXgx0HkRajOslmo8rHD/7+/vyrrrdrlBkvV5PUINXr17Je+L9OyzrHvMtJKGjSY55b+u4\nh/UjpJ5Eb1oREUmSZm7V1IbPyk+DJITmXTxOmoN9wutBWmT5L4pisGAWfQ36GbBYPgjW4EjiwpKg\ndVxErQQZ2O6YBEK+ekLiG0AhZcNHI1h/p6k7NszTon7YZwAnCys5kN7cBiFezAqI+e/L5bKjYHIb\neRHhxWtpaclZZFlQEcF3+uLFC/ruu+9kgfvggw+E379x44a0ZW9vT5IO7e/viw9DLpejYrEoEPlv\nfvMb+uKLL4jIDWdcWlqSvlhbW3P6ZX9/X/oMEz1htsFSqeSEDPLz93o98aonugzhI5r7SrAS0Ol0\nREkol8tUKBRE+Tk5OaGPP/5Y+oQ3glpeXhaIv9Fo0MbGBhHNF8vZbCb0xevXr+m///u/iYjol7/8\npfhQrK2tyfP3+32hFNgHAzMhcvsHg4G0E6/BDJVchjUfaH8EjLzhY46CwXFu+TNwP3Ed3K79/X16\n/fq1jLNGoyFKbavVkuRSL1++lORSFnVgtd9nCMUufNo3wVfGIp71WnnwXRNDh/ralWaBT1pbFpFF\n2o9tSSOLGqIoGcWQSSaZZJJJJplckWuNIITgFcsxEa1XrUmHqAcWS/vzQWOWJphkPSdp3bHQ0LuO\nYoh1UrQSJWkJoTMW3TCZTCSZUbfbpeFw6Dgtokc8Qvcs7HyGey5w+YguYPsxD8Ly8rKzRXS32/U6\nqemkSFgfW4fNZpP+93//l4jmzoBsNa+vr4sjGqIBjIwglcLXdTodx5rlREOYJpg94hGiRu947flP\n5FqJxWLR2fURt6vGBEIbGxvSRk5ahLtTMgLy4YcfipPnBx98IKjJYDAQBIORBUR0sC8ZWdD7EOi9\nMLSjKQu3v9frCQJSLpcF2WC6gPsZERSNaOH+DYwAHh0d0dHRkbzzjY0NcXLFPAxMuRHNxwXvhfH6\n9WvqdDpO4idGCl68eCGJrl6+fOkkUQol9HlXDncha9pyoLN+C90fQ3ni8SJOiihv63yYFinR86du\nS6gPfeXFUOOxv2m51gqCFp93K/JLoQFh/RYb/hgqK8SvvW1kQhoYjNvv++B8IZk+HwS8DpUFq17r\n2Pqb6GpSE14IRqMRXVxcOMmFWHCBwMl9NBpRu90WKBm3iObfsWwil3pgugKTKzEsvrS0JOUSXXqr\nD4dDh78eDodSz2w2k70QNjc3JYQTEwhpGJppBmwP9xOe5zC5SqUi7RqPx85eFJi0ZzqdioKCXvez\n2Uz6dn19nXZ2duQ9jcdjWexKpZLDs/OCtra2Rtvb28LvTyYTWSy73a7Du//85z8norlvBG7DfH5+\n7kRLcJsxOgL9TjBaiZVFDEe0/AlwbA2HQ/F52NnZoXq9Ln3TaDTkneMcgL4uL1++pCdPnhDRPBS0\n3++LwoMhl+fn59KW4XDoJK3itnAdGKbJSl2323UUpBDc74tciJW00HpMsiTf/GGJNW+kUQh8fgs+\nf4JQ5Iclmg5ZNGER3pP2vhAFnqQUxYyJa60g6A7FF8rn0ZpE4cEQOwgsiRnsabRcfZ+vTBasOykW\n1nddrFJgncf+9yELSc/AYn2sfK92RMUUuOjMyBPvaDSSOtvttuzOx/fwdb1eTyblXq/nOLyxU2Cl\nUnG4ZvR7QAWlUqk4igOOK/RP2NjYEGseswLijoeVSsVZXPr9vvgq6DHLi3KpVHIc7rj9vV6PNjY2\nBEEplUrOYsdtOTs7k77AUMB6ve5kaZxOp3LP0tKS+AO8efNG0IDXr1/Tf/7nfzqheexYWSwWxb/i\n+fPnUs/t27dlQdzb26NmsynPg/4JnU6HDg8PpSxWkCaTibOhlPZJQaQFkSYev91uV/r8+fPndHZ2\nJu2/c+cOPXr0iIjm4aDcT3t7exLSenBw4KTKzufz8jyYqrrf78vYHI1GsvCjPwQjWBgaixuMWb4u\nlvh8EJLi/0MS8kHwSWguSAp/5N9wDorxEYsxBPEanZMi5hlDfeFDi625NQ0KbUma9UX3ZZJkPgiZ\nZJJJJplkkskVudYIgtYSLc04iRZAbdJHMcSID96J8fT3lYHtSyprEY5Pa/Y+jVdruPp/6/5QnyOU\nHWoPC0KtS0tLzha/FoKB+yp0u13a3NwUC5gzKxLNrVHcowCpC7bAmddlWBch7lKp5Gyog7A+W7PD\n4ZD6/b70B6IGa2tr0maEvldWVhxuG/dJILoMjZtMJs51XEepVHKQBSKSvxFdKZVKgpoMh0OpYzab\nSWKmjY0NqtVqgkBgcqelpcvtro+Pj8WCfvPmjRPCmcvlJNHSRx99JOdns5mgAV9++aW8F24TIw33\n798X+uTWrVuCJrx+/VqebzweO5kQESmoVCpOmKXlt4LC74fh/z/+8Y/05ZdfSptRMAQX/T60Zcnj\nUe8FwfV3Op0rYdDcD4VCwRm/PGatCCEWnM/0eWu/hqT5A9/5IpJEPyahsWnaqkUjDiEawUKUk6D4\nUBZGbm+Uta5QBx+6Evo7KRw0LdV0rRUEPais+FqfD8HbOqdweT5agSWkHIQ+mhgYMDRQQh9bUvt8\nioOG+0PPgBL7cVsf5Ww2k8kR0yETuY5h4/HY2VCIF7vRaOTslNjv9x0OHxdbH4yp24zQNfaH5QA7\nm82o3+87CwnXWa1WZYHFBZ4z6RFdUiK42RA7rA2HQ1FE6vW6LDyNRkMUnMFgQKurq3Id0j9ra2sS\nU99utyWmfmdnR9rIuQ7YURSVgtlsRm/evJFyuc/RL4P/5vq73a74MGDa5cFgIAuypv+Oj48lD8Xy\n8rL4cFQqFWk/KmvsZ4EKH2Y5xPePcwPu7Fgulx3lytoUDuH+fD7v1I8LMT8rvzO+rlqtOv4U3Mf8\n/KhI8/jFcFKUkIMikd9XSc+HPvh50Vh7Po41Pnz1J82zLL4+sOZ7X8hnGnlbHzJdf1KYZ9J865v3\nF33OjGLIJJNMMskkk0yuyLVGEFC0xW15qvq0NRafd6t1TcjRI5QMw3ddyKqPTWjka28MouFzeNR1\nIQwWcrCx7tcSmxiF4dlms0knJydiQW9sbDiJctiy7ff7jmXf7/clWqBWq0nSol6vJ6gDRjEgXIyh\nf0TkhM/NZjOxDHGzKN0v6DSIlj46VuqIDB1RgZsdYfgbZvjDscT9wn3M181mM3H+Ozs7k/7nDZaI\n5hY79/l0OqUHDx4I7P769Wvp/2azKRRBvV6XcrmPELbFrbgZYcCslEtLS/Ttt9/KM45GI+cd8Hva\n3t6WNm9tbUn/n52dCUpQqVQcRAGdFLEtpVLJseDReXF5edkZu4xuoMOpDqfFqAn9G/fFeDyWvkWK\noVKpOM6L2GZ0Uu33+0J3cbuJrqIuacOMicIOhGk99ENzYCxKEIsa6PbqY/w7FN3hSy7Fv+myQm2J\nmWe1+GgWnE+sdxZLL1vlJsm1VhB8gwCPF/H0jZVY/4LQh4fn0vJ0vjpC8GCMwhCCB2MVDharX60B\nGjMBnZyc0NOnT2WxLZfLwkfjxGkpCDzBY3x+o9GQ9iF9gWl3OU0ueo5bHCbmB8D28+6RrBRwXgX9\nzJjtETlsVg5wUcMwPe7Dfr8vEDXG5/PCjpsiYdgow9VHR0dyTbvdlpC90WhEzWZT6tnd3ZW+rVQq\nohTU63UnP4Lvu6vX69K27e1txzuf/QxOT08dpaZYLIryd3Z2Js9UKpXo5s2bRDQfZ6yglUolJxeE\nTr1tHeMCz8+G9BW+W7wflQKcc3Ah4vbx/zw+cNfNWq0m/T+ZTCiXu9yICn1lMPLGkqRQaqTPQoYG\nGllJ5aMkGS8xRkVIYo0vvpb/j53f01ARobkt6Rz+ltRPvmNug6U8+HwQ0kpGMWSSSSaZZJJJJlfk\nWiMIaEFpTQq1shhNKskxjc+FtN8kBCB0nY9G8MFO1m8+0RZ7jMNQLCKxiCT1sy+GeDKZ0IsXL8RS\nPD09leyBKysrTh4CvcETowsMo3M72BrVdWIeDQ0/I7rA111cXDioBULMs9lMUAPMw5DL5RznQT5/\ncXHhRFfovkPoHB3b2GFvdXVVrlldXaXbt2+LNct7QxARPXv2TCzjra0toS7y+byUe3p6KsdEc6SB\nUZvt7W3pP94/gejSyc/aW6RUKgmagrkjarWaIEMnJydUq9WuZEYkcvfSqNVqgmCUy2WhO/j9IH1j\n5UHQdAGiREjfrKysyD3D4dCh2BCuxjoQEeJridwNphBBmM1mDuKBOT4QHeLIDm6nriPGAo5xGl7E\nKdGHLMailnrOSYLCLQQ5TfQBioUMxqLLSYgGojFJ2XRjqF5f3ToCwocs/MVQDCi4WIaoB+s+viYJ\nHsI6QtzPogtoklKQtFBb11nXxPgNpIUBYygCPYElcaBWHbPZZardTqcj2fdwJ0ZcxDlSATn5ZrNJ\nRPPFBrPlsaf8eDyWSdyC9HzPaX3chULBmfyxbZioR0dUaEoDn4cXSJx4RqORLCK7u7tS1traGi0t\nLclC3Gw2Ba4nugylm0wmjg8GKhjoE1Gr1aTs5eVlJ1U0+jmgTwUqnNPpVKD0QqHgRKXweaYh9ILN\nws+fz+flvd++fVv8THq93pV3hj4IXJZP8WMaAJUHbpv2LUBBikFnvMR+RqWSFTR8Ph6vrPDt7+9L\nQiYeu9yXLDxOrEUhFA65iMTMM/p333W6LOueRaFyiwpcVIGIqSeW+kDRcz2XFVKwfH3le55YBcuS\njGLIJJNMMskkk0yuyLVHEHxakBX3qx100OFIl+VztrGSBP055V1Ad3i8COoQI7Gezb5zWstFjV8/\nA1vD7XZbU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zMxoiCtYCWt4vNYHrcZd5Ds9XrexRoXIh2ayeNsf39flILf//73kgyLoxlC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\nWMELMWBZmriG72/A91NgXey7MJpUE7xWXj/neeJRwmETkVrrHd++bMl+b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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import load_sample_images\n", + "dataset = np.array(load_sample_images().images, dtype=np.float32)\n", + "batch_size, height, width, channels = dataset.shape\n", + "\n", + "filters = np.zeros(shape=(7, 7, channels, 2), dtype=np.float32)\n", + "filters[:, 3, :, 0] = 1 # vertical line\n", + "filters[3, :, :, 1] = 1 # horizontal line\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, height, width, channels))\n", + "convolution = tf.nn.conv2d(X, filters, strides=[1,2,2,1], padding=\"SAME\")\n", + "\n", + "with tf.Session() as sess:\n", + " output = sess.run(convolution, feed_dict={X: dataset})\n", + "\n", + "for image_index in (0, 1):\n", + " for feature_map_index in (0, 1):\n", + " plot_image(output[image_index, :, :, feature_map_index])\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## VALID vs SAME padding" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "VALID:\n", + " [[[[ 184.]\n", + " [ 389.]]]]\n", + "SAME:\n", + " [[[[ 143.]\n", + " [ 348.]\n", + " [ 204.]]]]\n" + ] + } + ], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "filter_primes = np.array([2., 3., 5., 7., 11., 13.], dtype=np.float32)\n", + "x = tf.constant(np.arange(1, 13+1, dtype=np.float32).reshape([1, 1, 13, 1]))\n", + "filters = tf.constant(filter_primes.reshape(1, 6, 1, 1))\n", + "\n", + "valid_conv = tf.nn.conv2d(x, filters, strides=[1, 1, 5, 1], padding='VALID')\n", + "same_conv = tf.nn.conv2d(x, filters, strides=[1, 1, 5, 1], padding='SAME')\n", + "\n", + "with tf.Session() as sess:\n", + " print(\"VALID:\\n\", valid_conv.eval())\n", + " print(\"SAME:\\n\", same_conv.eval())" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "VALID:\n", + "184.0\n", + "389.0\n", + "SAME:\n", + "143.0\n", + "348.0\n", + "204.0\n" + ] + } + ], + "source": [ + "print(\"VALID:\")\n", + "print(np.array([1,2,3,4,5,6]).T.dot(filter_primes))\n", + "print(np.array([6,7,8,9,10,11]).T.dot(filter_primes))\n", + "print(\"SAME:\")\n", + "print(np.array([0,1,2,3,4,5]).T.dot(filter_primes))\n", + "print(np.array([5,6,7,8,9,10]).T.dot(filter_primes))\n", + "print(np.array([10,11,12,13,0,0]).T.dot(filter_primes))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pooling layer" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure china_original\n" + ] + }, + { + "data": { + "image/png": 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VQQGhaSiJX/qr89BTPqpEqjDpsxwYynlvMcGoe+vHJaR1uSLOTOhEgxm9nkOG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h5TMCIKXe39zF56Ec9t3MoF511IXWUtpdVxevp7SOsaE+dN4a3fPculZ57NCy+so65CsL3tBG37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xcp3lvf+eOr3szvaiXfVerW65I3dcccNwiTEQCCWBUG9CYkKSG0ISbkJyqQFscMcY3G3ZlixZ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c1BUsagSNGtUQXZquK7Kk13mVYnsNphzA3pwwKs7eRhouz+d88zKl+csAsMuuyfMQ5tLULo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\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xaEjUjMBX1Px5EgTTJCOQdZLcZerWyKaGduQwnY6Y1lpslZbIbzEYpVBvULp1Xr27gXZd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\nui4w0tnB7PnzbF+u4RWqtDUd1Ct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f/mdezDz3D3/42f6ubhK6iu/YjAwPQ+hx4fxb6DI4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bZMYrkhPrh5h6GxUZKxEHGtTGr+KuOJFGrAR7NRotgskvXFsVt1qq0yY+kU+1qXomCyv1cm\nnRhDcxUS6RRueZ/cUIrZ/TX0Egzkc2g7O7iSiavI+E5f5oO6xeuv/porly6zt7tNu1bl29/9I5Ye\nLvP0U5cYnT6GqviomTqeRAZfdIAfv/kBZbNBQ7VQszG6goQiqJRqBVB6/PD//TmhiJ/ClsbQ6CiF\n4h7V5j6SV6JlWMhSiuWVNcbHh4iFVQTVYWL8CB98+CFT02P4fCFOnj6LIvuYn1ul1RJJpfswbJ1j\nx2bIpvpYX9olmcoTSsR4+GCWSqHOf/oP/yOiz2Jjp8BeqYEsBelPD9LXn2Nvf49bd24xONiP3mqT\nCAapH+zTqHYo7NWYn98g4A/x53/wZ1QO2vzyrV+Tzsb4+jc/g+34uHN3gT/77u9y/foHdFo1Uukc\nH374gEQiTSySwNZ1Dg9bWD0d17Hxefy4iMyvrPDu2x/ze9/6R1x/7yNszeDrX/0Kv3j1F8TjA5jt\nHkarzey9O5T3DwhKPiKSn8lj4xQq++zVa3gSEfRmi//+z/8Vq/eW2N/aYuroEZbX1kkkk/zpn3yL\n3/nK51hbnqda2ieejCMpAkZPA2w0TcPrCXDq2Fka9Q6RmJ+RkX5EU2VyYpq33nqHYMBPvdNkaHSQ\nZLqfOx/f461fvsnYSJ5sJobRalDdXqNeqnLmmaNsFrcJhQTuzW4Q9nvIxtKkoynqjSqi7KLrdXxW\nFEmyMA2XS1dOIrgiJ0YnuTA9hb5/QOFwi9/95jfwB/yUq2XqjTqu4DI40I+LS0fTESUBSRIJ+P3E\n42Fc16JZf7z70mp3qNcaRKNRRBE6WotkMkGv16PV0hAFBVlysXSdSCRIo97F5/Ohejw4loPeNZAl\nGX9Ixev309J0Gs0usiQhCTKmZaGq0Gq30bQeti0xMj7O/UcP2dk5YGFxDQEVxW9x4/ocnZbJ1PQw\nnZZGf26ct351l/MXpijvVWk1LRwbLElD9Lv86e/929/saPb3//4vvxdNDtDZbRGJeijrRZSATLls\nsnlQodxuIaoJ1nYbdGwDt+ciaBo+TwBPIEwgGkbQNMzW45FLs1Vlc7OI3+fH0A3w9OgbGCAe7sOx\nBCyzgexpEY2G8fp9FA5rOG6YTHaSvuwY9+4+JJKIMj06yUc3bmAYkB8cZGAgT6VUpKUb2JJCWzeR\nBAnLdfEGPBhWl37FS0hWMEyDnuuAJCEJIIseHFvgoFxGEsXHnhdFRrNNas0OluDiT1p4o0GK5QbT\nx6fRDI3iQYvB4TzPPn+Gnb01RAmmZ0KEQzK12h5Hjx7FMEzKxQqWHsa0ddpNg4WFAu1Oj+3NIlqn\nRqncYGTcj8djEQiJ7JeatDSHbq1Nz7S5dv0u1YqJ41o0u208Xg+drkazbTM/t8jU9Agf35pjfGKc\nVNxLqVHBUm3yuTztPYtjozOoST8rjW0u9o8zNzePXw0gJmTUgMHpM1MM9yc4Mpzn1KlTXLj0BFMn\njjE9Po3XEyaWTOMN+Ymkk+iSQFf20BId6mYPQ5LpSgJiyEfE75DNxal2m9R7XRLxOGYmwL6tIQ72\nYasQH8oxffoE0yemOTHVTzqSYuzkCS6eu8jU+eOcuXKB6UunOD41zuDACJl4nvGJGY5NzdCfSnP8\nxEn6kqN4ommCqg9JUPGHglApI9Ta0NXRCru49Qay3qW7t8uPf/gjKvsH3L11m+WFFW7dusHNjz/m\n5ocfcu/qQ669P8edj2eZvf2AhfllljYL3K/t0TY19JALuSCj430MjKQpx334/QGEcASfHMD2+FFN\nD44pUW/p9ByVrmHS0VqoXjiol1ElEcFx6DkmzU4NQTARAwLYGgFvCNdR2e60yHkUXI8PxCCyLFE2\nOlR0G9uXYGGrjCUHiA+l0BydRquO6Lg4bg8p4MHsObiSB+f/LzIrWpUWXQjIGIaGWzOJy1EioRSe\naB8lW+WT3T0O9Q7JaIgTJ8eZfXCXZCzGxmELPB7i4QT3Hs4THxolKDv46occ3HyZ49N5KnqT2v4e\nqXCAdD5Ps6OjB1wiwRAbzSInBo4Qajn4UnE6Wpl8KESncoBld2jUG4wPjeAaPTrdBtlUgqptsO/1\n8V6phzeY4skXXuD2r68y2NfHkSMn+eXrr/DiN54n3rEoFHYZGsyR70uy8GCO+n6ZQMqP6yoEI3He\n/OAjKjWNw70i71+9hiv62Cs2iIQSREM5hoaHiMYC1FplmrqOLXh5+eWrXHniEjNHJqiXaniDIZaX\ndxkbmwYsfvnz9wkGRbR2m/PnLzA7u4TqUSkcbDMxPcLdm3cZHztCOBrh6ocfMjaeZyCfpri7z/Wb\nDzBFgXg6jCBKVCs7mIiYro2mtVl6tMDk0DAj6SxRj49AMkWxWCbg95CJp1hb3iQQ9DK/vUfAJ+JR\nowSiKvsH+5w+foJPP/8s7733Pp/74le5fmuWUrGIT1I5cWSKcrnE6vICflHmD3/vn/CDn/wCV/Hy\n3X/1p7z2i58yOdrPr954m/zQEOGhPubvrbJ/UEJQJLqWRiyepNe1SCWyVLtVTMnmy1/8Mi+cv8w7\nL/2K9959h0PTQAoqPFh4SE+Hf/IH/5jC5iLrS2sU98rousnaxi61RgsXAa8nQL1Rp9drMTw8wKUr\nTyJJHp5+5kkquyXe/egOUa+MKMikhlN840tf5tJTlzjYX+cf/f7nWV6cZ2Funm7LwtVMkkNJGmaX\ny5fPYLRsbFuluFGgdFDjxKlT1Kp7qIJCXyrP3/38KqnBNC987jnuz95jdOgIP/qvL/Pqyy8hyxLV\nRgGPR2Hm6AzNVpvNzW0ERKYnJyiWDxFlGVkUwXUJhPz09WdwLJt2s4NlO9SqDRzXxXWgVqszMJin\nvz+P4zgUCkVURaWn63g9CoLrYDkOtuXQbncwexaOBZFQiEq1jNGzaLQ62A54ZAXbtFAkAXAIBkPo\nuoXHr/L1b36N+eU5BPGxRdtxbSzb5MzpM3Q7dU6cmAQEdve3kdQuM1PjaE2bWqmLg0MsG+dTn77A\nAfjiAAAgAElEQVTAC5e/85tdzPzD63/1PcOxyPg8iDiIgSAdw6FY2AbXYnB8kF5HYGG+gN0zOT48\nTL1YQpYkPn5wh4NaiWZ5j2Q8iCtr7JX3SGb6CPolpo7MsLrewHYttHaXleVlQEQQesTiSVoNh/7+\nMQzdi2MFsR0JkIknUtTKBYq1Eh5vhkajRcjn5eHKQ85fPMrQ2AT378wjGgKW7GIKFqIoMKR4CYsS\ngizQ6RnIsorZM3GRcAUBy7UQJBfT0Oj1epw628/ERD9PPX2Gf/rPv4wv6HDuwnFMs8TaaoEXPz3C\nE5fG6Mt5GRpL8fmvXGIg4yca9BJJxPj1rxZYWS4TiHgZmxphamaQ3f1dTp7v4/Kzg9QrDdrNLuls\nhHTOxedX8PsD3H+wSSiUIBHzE80ksASXds3h5MkjyB6B/WKDYqlDLJjBqOq4vRqNqkAuk0RV62Rm\n8tQdiAUzHO6U2N9doyHo+ANxNm+sEQqGGB3NUhYP2FxawqeK7Gyv4PeC2Wlgdhr0p8Jo5X2ef/Zp\nxkcyHDs2zMRkH5PTA4wfGSHXFyOXSzAwmscTlDDtBlOTQ2RyaRyvghANkT8yijqQ59xzn6JvNM+x\nU8cYnxpnemaakydPc/L4Ec688CkGsn1k+vOk8lnykTi5WJRIIEFQDpDwxYkGIhiFAm6txd7yGpWV\nTYJtjdbmAtX1JQ6Wl7GWFynevc/mjevc/NW7fPjG27zz3nu8+e6vWb12laXZ+yzeW2R7dYfC7gaH\nh0W6VouW20INpQjHoqRTUUI+D9ODEwg+m0gqSH44jRry0LR0Wr0eDi77e0U6tQZpr5eirhEQVLwC\ndNoaPs1FcgQEVWa/WmY0msXfc2jqGpGhPLV2CbDxBQKYXh/hRJpaz6Ie9uG3XPb0Di0X/K7DiQsn\nKTUqCLJAMpfAcmw6dpeWpiHJLuGIhE2PcqWMnwBBScZqNfECiWgYvVlDckw0LJKpUeLDR+g7eREz\nmuLGwzv4ZJeT56Y4dWEKRYSEP44gB/Cm0xiCzPsf3yKRyzKAQ+XOBwRLqxydiuExuwRH0qT8CuXS\nHqIUomVVSIoKpt1DdAy0wxqBkAe716HTbeCYHVLJCI7ZQ3AdtEYd2dvBFSVKxQ7NQJZtNUFTTpAO\nJjhYXefUhRne+PhNhnJ58gP93PvlW/QJPhYe3COgiIQ9HsSWTq+tkwuPkk9HqB3scWTmOL/+9Uf0\n92VQwknuLW2SHR1mZ6vEydPHeOvdl5EDNuVynaGhKcqHTdZWt9nZ3WVzYxvLctAsl+GRSTY2NigV\nD/nO73yb3UKBwk6BUChMOJqiVqsTDPixehZ2z6F4uE+nqxEMpgmEYHHxPrmBIVbWCmT7UqxtbDMx\nPcH8/DqCKCDYDvlsht/+0lfZWt9ic3OLrmHycGmFmalpJkemuHNjDt11EXwilU6Bv/jv/iVvvP4G\nv37zJqFQlH/46TscPTaOrluYPZcvfeHLvPrKS2QyWaaOTPHSa2/y/GeeRfEoXL/+EV//1jeQVIdq\no8GVy2eZmj5CR6uSHcgxODHIzMwpHsw/Ij/Uj1/2cGR0GrNjc+OjW/RME0UEp9Mj7Avw4zfe5sBu\n0pItkgMZ/LKfZ596lpd++jMmRkbYLxaxXSgcFNFsk29/59vouk6hUCAej5HJDFLYKzO/uMzC4jwf\nfnCN1c1VvEEZWQkSiweZnJrktV++RiBkc+zEDKbQ4+GtDZKpQd754BNMwyU3FCMZS/Gdb36N+U8W\niCcSjPRPY4o6NgqtVo/JoWnu33vAfkMhGfdzeLBL0Bviw/ducfPmPH/yx3+C6lUw9ENu3LqF6vXh\n8wa5cesRkiBQPNgnHImwXzzEch4Te6u1Grlclka9iYDE2toetguyJNMzeng8Co7tohs6y8sr+Hw+\neqbxmP7rk5EkkY5mYloOiqI8Vh4IIIrgOjaW5eI6IoIr4LoWouAiy6Ao8mNbvCTT6Rhcv3kTwzbp\n6hoBvwdRcFAVAdPo4VgijUaTYMiPR5UpbHY4f3YCy5DY2ztE021CEQ9+v8RXfuu7v9kLwH/25zOu\nqFaJpsE1YliajKu5qKLL6mqZ6GCQxdUDYt4UPqXNSHyQbChG2z1kq2QQzWeo7O0ymI0yfnSAUq3I\n/MYsE5Mz7BVKrG/tIXUjhOIuriOTSgyTSsTY222QyESxjDpaT2L3sEfHchGlNlg9RLeH3xeitOth\nYnySanUTRZEI9knEMwlKJZH3P7jHYSeFx4JE0CLSPCQUFeha4DFUHE1BE3UU2Y9hdJG9EoZlEI4G\nuHzlPL964+85ejJPOOLlzu0NAuEU0USYvr409WaR4T4/3qDC6s4qv/3tb/H+1fdwHTCabdKBBHP1\nGrnoEO++do2I10sq4yOe9pPNBaihYReDjBwdR2830Js95heXiKeSZHIp5h4+IuSL0zDaNFoaK7Ma\nYb8PX9DEGwyTHkiAnWT10T3QLaKRJLLSxO81OHvhLAdmjal4jNcfrRHuiJweHSM+7GXNbrLx1iLD\nQopjT09w0Nmj1VKo63UEWaK+7XDl9Ck6lSr1fQdTk4lEA+TTceLRCCODE4SjUeSYl/6ciqQqOK6C\nEA+yNjtP/sgxZNmPflDE63eoNlsYzS6yapAggKl3aZs2gqZTrHfoNss0Dmq0BIdqp4Zdr6N1dJY3\nS9iugNHrYps6qaBEs1EjEgzh2g7Rnore7RJOx2hg0vEreH0hrKDN8u4Bo5kIUVnGq0DNtghIKs2u\njdbooEZVAo5AvbmD7InTbEVoNpuEgwrhoEqna0IbYvEQ8axMtXpA2BdCkYPcXdomF/WR9MqPlRWN\nBhUBtspNon0RKoJIJBxEO4S0P4DuWKi2QM8SCUoyqREfDbsFpSY9q4EfFdEbYK3aIS+kCCoqJj2a\nnji5kILXquIz63hFh3pTwPbmaJYbOLaI2KrSFS0qosLiYZu0T0GNmzz16Se5t7DF+XMzFJc3kEJB\nwkefolYzaTZ0fH4Pv//tr9AsLFDXW8SScbb22gyPnaOimTzaXuLY8ZOU9h8S6rY5snmP5sMdfGER\nIRHDjEkEOhLFg21Gx4bYa9RwGhZRr5dAJErDJyAeVhHlADVTYiitUA+GkIMB7Ier9GcjbO2sI7g6\n7cELfFDt0syMYvqS9DY3UQSRcqNI31CKys4uz568yN//l/9G5+AQRzQ4eeo8ldoO5y6cZW2zQKt3\nSKNSx8Ygm04Qi4coVSs0dYdyo8z08SkarSbajkjlcJ+jJ3N0dIP1JQNNNwklVBr1NnrbZubIFMcm\np/nVB6/jD/mJxTO8/eaHfOrJc+xuF0ikgnj9EhNjp/jwg1uUShVEEU6dmubZ555jZXWJW7fvku6b\nYO7RMvVOlXwmyHf/+B8zP7tEOJRh5uxRFh7O4roid2/fY2lpgcmJGS6cO8fm+hoPNjboNtq0qk1i\nsRhNoc43f++3iVkGSX+MQCxDoWHyn//3/0IkHMDtNfjqF34LT8zDr6/f4cWnXiAaDPCLH/6QsC9B\nZiBCfmCAbGYATbIYmxnHdgXeeuUfGEjluHD+aQ47XX7yyivsP1rCNHSyOT/Hjp/EVRQWVvYwLJPT\nR8bZ3l3gs5//Enfv3qdpuUQSIV648jzlnX2uvvQOiUwfa7u7vHfnGvFInAsXnuCja9eJxkKUy4eY\npsnw8DCTE31EE3G0Hrz28hukE1lUy8QTDtPU6tiGwu72Fs88d4yxoT76+wYAmdfefI9y1WBnZ4dw\nxMdnP/cCr/70Zc5OnmZ+dZFsKoYaCXDx/Dla7Rq6ZfDJ7CLPPPMs9Xod1afTl83w+itv8plPfZr7\n92ep1DvUOo+Tf09fnCASTnN42CAYyvLhrWs0ml2srvF4H83uYZoQjwdIxGLsbB4giBKO4+A4YBom\nggiRSIhgSGGvUCUeD+PYNn/+z/+I119/k7nZZWKxIJF4hLW1ApGoHxDQewaK7EFRFBq1NrpuIfDY\n9RcM+ZBkG0mGUCjEzk4Fy3QJhEOPqeXJMO12m0Q8wsjgEHMPFzBNg0DAz9BQhrX1Bfr6sgQCAVYX\nC0TiNrYlMzY2Sjhu8czzT/Dd3/+b3+ydmXeu/dX3VHqcnriC0XXIZIMI3hZ93iTWrsuwP0EYhWKx\nioKP6dEJ7q2sUesKVDpVurqBZTQYHujH63l86IbdRZIkypUGfn+MfC5Cu9Ejk85hCxq6plCpNtlY\nWyaTiZDN58gMpPEEBATFwBdQ6GpQLjVIBfMcmRwl4BGpVVtUD+tMT+UJx1QuXznDS798G2QR0YUM\nHno9E1eQUUQJ15axRQlZsPAHPQiyRTDspVo7oGd3SfUHmZgZxhsS+a0vfIrcUBBX6WK6LdRgANvS\nEATwqEFmH84hCzJmT6Zd10lFY4g+lXBQpS8dYqgvgYuGz6Pi8/pQgwpbG2sU9lcYGhxmeX6NYMBP\nIhGm1a4jSRKnj8ygyCI+/yD9+RA4FvFoCqurU682EHEJKCqiVyU7FkYJy0QEL1978StYtX0Mp8lH\n89s4msn46Bil3QVsBdKxfsqtDr58BK3UIRfN4rF6NEplTDzMba8QHRviUHeY29hibmmb9e0DZucf\nsrD4gJvXr3H79h3m7y8w+/EcBzsNthc2yOSjdFtdtMMm5Y0tKsVNWtUW7WqXdqXFL378U65+dIu3\nX32Vm+99zCsfXuO9d+9x7cECt27c4nB9i0a7ze7KOiFcVKeHYJuoqoQOtHWbZN8AmtGEvjgHco9G\nUEKIBdCbOopr063X8ZkyPlenVq6g+nzUikVsUwePQo8efslHRFfxmwKi6yALKURXJhrwobUayLZM\nq6cjiw7xfAgkAY+sAgqHlRqSIFGXFK6tbiELUQKhDEcmTlIutghIUdy2geyJIWETCYWwHQlLlCHg\nZ1ersFU4ICGGUXSTmBggFoiRCEVJW5DFICJqWN0yNg7FVpPNeostzWFJ87JodtgNpllQvHRUjUNR\n5cAXZKOkoySjGHqL4f4cgigRj8Qomwb4o0hCkCuffR5v1svJM1O0KxVC8Tj5RIbDYoNw/2kWi3ss\nHGwx0T+CvXafrF6i+tHLBFQFr2mgxhIs7FdQ9B6HJvQfHeL+zRWOnz1CXIlSszus7e7Q8wWRbQFR\nEYhG/Nzb3sYjx8gn+2jub1PXm8TCcdRIhg8sP3Ysi+lK9PQu0bCCLVi0tDqhoI/6xj6N3TLbK+s0\n6g3UUICF7XkyIym29wpodpvpmRnGJgep1Wpo3Q7ra2uEw1FcUWJ5aR2//7HqRBUlvF6Fjtbh8LBJ\npykQDAeIRH1srG9Qr7ZIJCNUizU0s8thpUI6naPb0RgeGKBn9pAVmVAkyquvvcX0kaOkkgl8Ph9b\nmxtYps36+iaWDddv3Kbb63D5/BMYepXrH91Ckb18+WtfYKuwyd76LqWDNT7z3PPc+uQuG/u7vPP+\nDfbbHb7+jS+yXdjBcFyyo0MIHpvi3iGfu/wUcw8ecOnyU9y9fwsx4CeWTnDp8mlc2yboDXD61BTl\ngy3GjwzTaNVZrZRwfWBhUi5VefvlN3jlJ29jN3cJRSO4yPzkJy/RrnY4kR1ibXOD02dO88Uvf4lq\nt06h0GZkeIyPP7pGdirH6OQo0WScG3dv80+/8W3CXZv6vTX++q9/wGy9gCvB1uo2gmtj6wqzD+fx\n+f2oTpegD46eHCeRD3PkyASPFh5y7vRxZFOlUmtSarUQpRrjM+N87sXPc+LYMAODGbBge2ufhYV1\n/P4o4VgA3azzwmeeZmg4j9rzUm3UQHGxVYWt/SJHRsaYX1zh2rXbXHj6Sd79+AO2DjbZ2iggWTK2\nKdLXN8jtu5+QSKf5whc/x8T0GA/uPWJt/YDCXgnVJ7K4uokoe3FcE2/Ah+24SKJAMpbkc5/9ArOz\nc3S7OqIoYpoWqkdGlkRs26ZW6yBJEAh60TotBgcy3Lv7CYMDKY4cGad4sEc47CWVTIAAnZaGZT2G\nkyqyB8exESUB23IJhvwIooOhG2idLpYNritgGAY+v4QjOji2Q73aod2qYBouzaaG3jXw+kSMnonr\neNjaLBMIBnBsB8vWyOdThGI9FNXgmct/9Js9Zvo//p9/8b2pzDCFnSKVbhMHBcFs015o8sTYWUqF\nHfaLJSQ1SDAWolQvc+XMc7z+2nuMjCQJ+2NIkkG13iQTC+NTPTiyi6RK7BT2kOUQsYAfrRpge22H\neMoPUj8BbxDX6hGNPOZVZHJ9hEN+6s0G6+sFQuEsAl5EUyTokTlx/CjRUIL9wj47m3Ok+mIYZotk\nJsWxMyewdQOl8jh2jSTi4GA6NgG/7zFO2jbx+B4/dOfOnaNUOmRsOk8oHEJWodGqEIn58flkRsby\nmG4TxzSIxTJUSl3KRZNIOM/C/DKGruP1uqhekWa5ikfx0a7o2LZCTzNIZXLoukgs3ockeqhWqvR6\ndaIxL16/gmm6eBUPkmGjeL1EkwlKpT0EqcPmSpeLT13i4cIapUoJ1wDHlnnxsxcJBOJUdzRKC8u0\nKm3ubO4wczzP+UtjNKoFwtkYs7M7jGVjBMM6YlhAtEVExyXoj+AILtNnRtGcHg9Xt7n7yTLNqoZl\n9XARqNbbVLslSnWNkmaxWemwU2txf3GJGx9/xIWxPBv3H7H64B6zdz/hzs1PuPvBHT555zqrtx+y\nev8+lWadnuvg8YZQBZlUVCWa9DM5nEdK+AjnU4ipCJFomI7dRQ7KKCEvmuU+hlB1u8RiftarVeRY\nFDkcolJt4bNVED3Ua02CHi/BgE0iHsYrSXh9HvpSeZYWVlEckVgojIiFq1g4IZmK46Nm6XhiHizR\nxDUFmrKEGvGDrdFothG9ARpdg5H+FDtWGzkaIRGM4XgDtKweG0aNcDaFaJh4vTJd3cCmh9ew8bga\nEdvA26pzLJBmyhsnUNNQZImAI7Nfa7Df7lKUFNYO9zhQDBpOnT3ToSUJ9HwepHCQQCIJER9ypp+O\nFGJEShLwxel6ghR7bRKhEKpjMnXiCLv1GsmhEQ5rOqncCK+99Q6dboWL54+gGzWC4QiuR2RuYZX+\ngRnemHvEntHi0sWTlD58h5SioS3f4fmBAUxdJj19goezG4wNRPCGo/jSUdbubXFmZpp71xbwxWSS\nmQx4/CiGhS8Vory7j+XA5MkxWuurbN2Zo+/oOFXBpWXCnpzlYSBDU7eIupD3eai3anijEZ66fJ61\nuUdMp4Z546U3GB2ZxnFV1g5XeebzJ+gbHebh3Bov/Naz/O3f/oKeY7I4v4nWdoiGM4QjGeZXNhkb\nGuPpy5fwCgHefuddVE+QdkvH0iUcPNh2j72DTc6deQLXdvAoEqVSjYmjRwiEomzvbHPi5AyxYATb\nFR5/utUmtiMQ8PnY2drhiQsX2d7cIhaPMzo6zsb2LuNTI8iqy8HhPqbpEvCFqJbL7GytozV1lh7O\nIwh+Nrd3KNRKiJLMP/vz73L35i3qh3Xq1RonTk+zUVjn3NFTJHwqbkfnratv4UgWxc0SkXCYl1/6\nFcmxHF6vQLtRhLZFNprGabYY70vy/FNXmL23RDCQ4mc/fZMnXzxHMBVFCfoJBVU++6nnOX/2PP/z\nv/sP3F5e48UXT9Po1Png2m1292q8/uoHtFp7fPWrn+LkiWMsLCzSn81x8dgplm/dxmi3MESZdz6+\nw/D4MPt7Bb70ta/x9vVryF6XI5NjDGRSnL1wiq6tkx/oIxwMEAh5qJYaHO51+Oznvki5dEB//wAD\np6IcGxjhf/vP/w1Eh6888ww/euU1mmWdtqbzta9/lZu376DrDhsbBzx8sErPNBk/MsrU+CiHjs54\ndpyrH15lqC8HlsSNT+4wNj3G6NgAUSlAR2uidXTmF+c4evIYc48WWVxa4sXnX+DGjVUcV8QX8JHJ\nxVhZ2QPRwhNQaXc0rK5D0BfEdeDf/pv/ge9//2/wetXHHiRVQRRFfD4fjmPjujb+gIzj2CC4yDj0\n9BaK5FAuFjkstunvzyGJMlpHw3HBdcB1XFxEbNtCVT04jsXAQB6PR6FcbpFIRGk1dCRReMz4Mmxi\nqSSGYeFiUit3uXzlGOVyDb8nQqlcods1OXrsGEPDI6yuLRGPZ4mlVERZY+bIBIJo8MyVP/nNLmZu\nXP+/vtduGjzY28QRobp+wMFsl2bd4FhCQSyu8MT5GbSIRTobw6sI3HrnAVfODPKFTz/D3kEBVRLJ\nhkOEA34O94pEYwlsV6FSa9Lp1Ek6OcaH4ly8MIEgA2EP5cYSoUgPx+6xsPAQoWcQD/kpHpSQxACS\nqiLKIjo6c6urLK9tUywd4I/7OXHsSR4tHrK9sc+zT1whloyxdP8mol7BcXQsx0EQAhh00fUKkzMj\njzu7VpG+/iiK10HyOMRCGZqlHmIvQGW3zdzNQ4JimvpeC3/Pg4FCsdam2myjdaqcODFJMhbHHw6g\nOzqNYg2tY+LzhznsuFy7M8+Rk6NsHVTwCwFWdw65eX2Z80+cw9BrxBNJNjcK+ANBas0Srl0E2WGv\nVqHRsZifLzF1Is7m+joTR4bA8WHrFqfPHmNxdY35uQ1OHp3k1sIK8pCXeCaO1WohdlyakoAvHCUn\nmyTHR7m9foCoBslHQ2i9Hl3BYWFvgZGJo8zdX8UjqtSaoLUswpEU7Z5OT3TpSRFaOLQdgU67TdFo\nU9EaVN0mdmOPZnWLXqfATnUDt6+fA0Fn19OhHHQQ8l5QDXyxEJbX5cBj0XUN1KBMx+7gURSwIWAL\nOI0yltHCsrs4kkCh0iEYjtOzLRy3R7cHRsekvHtIUAlgWi49o40cClFqN5G8DpYtIgVCmFaPWqdH\nrn8IQZVpWSKHtktFVNEsibCYwOt4sXUb3XLRlUFM1aBZr9M/OIDH48freHAthx16xE0YRCakd+lX\nVCKuQMpRMTd38HS6WLUWtVYPwxvi3XubBGUZJeGnO5rkgz2bkifLnZ6I0zeKLvuxMhl2nSDdiXPI\n4SieXAIrkSKaP4MUHCQ/coJQYoBgNIHgjBL05ZFMEbpdtmsamiDSL6nYoodudph5xwe2h3sPV2jo\nOotLa3znX/8pwXicycwo+3fW6csP4HcVDkpFrs7e53eefYZcbZXSGz/guLjHtAird/eQBBWzW8Yf\n0Cm1asiWi9lrEpG6BEUBS6/jmhqhzCiVrQM2HswyMTEM9Q5SWMaX97Pz7hKZYJD4zCirGwVmqw6L\n8VEWxQidbg+cLp6ASNfSGZqcwTrYYPWjm/hbJv/nf/0RPY9MtVtjZXuZf/kX3+Dqe29x5cJlCoUC\n62vLJDJ++vqztNuwt1dle6fMbrHGiXNPcPujR5T2CuysFmnrPhwhTLvVw3VculaDrq4hCV6W5vdI\nxlNEYxGW1japd1usbmzgC3pY31rG7wszOzeHjUwuN0Kv1yMY8JFJpZh7NEdd69DS2swtLFGpNPB4\nHE6fmqKyv87Zc0+zsblJtdGiVOty8/4cza5Ou1fBcS2ee/o5Xnj+Of7jf/xPnD51ElGBi5fOsjD3\ngM88dZmgbKNrGtfXVnj20qe4dXcOzSOQHxpkNJ+lLxhCbxscFKsMHJ3i2KVzXL9zh0K5ThuRmXPH\niKWTzN5/hNBwKG3uslmuE45m+cXP3uCXv3yV4eE8f/T738Bx+5idnWd0Is3vfvObjE0MsbC4Tqtt\ncbCzTnu/wcTgIIZhsLC/Rqy/j65qc/78Bd5//TpdrcvW7hp/9e/+PY1Glf3DQyodjYcPF0knHyfz\n9ndKvP7zDzFaLs8+8yRv/Oo10gkH0Shz9eV7ZEYG+fS5E8RUL/udDj47xoPVZY6dmmJ24TbtRoft\nzV1GB4aZnhjh2s1bDE4McfqpM7Bf4qU33yc32E+x0caU4H/9X/6SZy7OoNrwox+/Q8DrJZXtxxVl\n6q0qiUSCmZkpNjeXiMU9HD8+Qj4fY2lhlbHRARKxIHrTREai2zaZnpomm03z/b/5Pq5rI8uPERnd\nbpdoLILt2NiOQyIew3Y1zJ792JzdcxCAZsdB08EbDFOqtClWqlQbbUzRAkFAN21EAWRJodMx+P+4\ne7MnydLDuu9393tz37P2vburqrt6m+6eHTPYMUMCBAgCIAhTQVEUGRJXBClRYcsRsMIUHaapMEOW\nKZsKKUiDJBYD4BAYADODGWD26e7pfanu6upaMyuzKvfMm5l3v34o+lnPwl/wvdz47onv/M45hqHS\nM9sMBn2iUY0wBMtyUFWNeDSFKAa0zTZ+4BOGErGozF65iuM6+P4QRZHRDJ2dcon1zYfgGSB6jI/P\ncv3yAUHYYK9U50tf/MOfbjHzjVf/6Cv1ksknPvwRHmxuIioRXE9lVldJhCpjM0l+9N5N3HSGmYVj\naFKGpFtkZizD3dX7+JJIo9lBlzRymeTh1Lnj0Hd9VMMgn8py8ftrGAbEEzFcL44aj7B69w771QOy\nGZWIKnJkfpax0QKBKpJMpWg3OmSzCfL5JNlMDlFQyBcS3Lx3EUmM4bkRNu7V2NkwuXblMk+fX2Tp\nWJa7m3dxggBDijA+N8nobAE9qnPl6vusnFymbbaYnBlDVAQc1aRrtRm6PeqdbZI5CS0eYgcDFFWg\nNmxSOdincdBkdnSa9fsPmVuYRhQCXNnBGQ4YmZjA9gJM3yaWlMkWsty4WuYjH1yhdLBJJJqgP+gi\nBik6DYdqpcbIeJJ4PEoiHsVyfEzfYWwyx9LyIndvrZNOTlJr1EllphiYJvagRzGTRw4d1jc2kAyf\nLh2slkl+fBQjlWTQHdI3G7zy8g7tPY+nnz1Nw28SDaOErorTsrBrHTa3Dji2eJ4rVzZ47vmnWL+1\nAUEfDQdFCpBCG1+0UDUBQYHhcICkaDiWR6qYJ0Cj0/cQtCiNeusQ3h149CtNpuMZBu0hMUVEcHwE\nyyclCMRliYTvMrRs6rUq8bRBXI0y8F20RJJA1umbNvgeI7k8XqeDbsQZ9ocIgohuqJjeAJAZ+AGJ\niSyjUxmsoU0qnsCTPRxBxQ9E2t0OMdlAUmTwQ3q9PqZlY3khPiGh65Hz00yKDksTM5iVBvkHgGEA\nACAASURBVFaliWx52K0eY6GC5IDZ7OKrKhudISVdoRqT2dF8xJEMbszA1RNoxVFW7+9zfHyGVDZG\nfCKLa+ZQvSiZzCiu41BM5lG1OL2hSLJwnNFYnpSRRhfHaffHqQ+yVLsRtvcdKgdd9lsOvX4HnyF9\n18LVQiIJlZzvooQ+dcchMTKC1+1y5omzPPXkeU488wSpSIxGtYmmJPhX/8O/4Z9+4Zd5753XCRWN\niakpbv39C6Ra+zw+NUIQqjx4+ICTRyfpNytMfeBxyg+2mSwWGJptikcX8fwm0UgKQVehmMY52CUy\nkiR5bAZViKBm8zi2Q+C5pIrjVDYq9CyLweJJ9qZnuLVbpnNQY3piDMFxKVWqqMkUw41Nmrv3WZya\nIi4ZrO7scWRlCVH1mZ7Kc+/2exybOcWbr/2YVLLI1k6Jyl6JamWPo8dOkkik0AydRCrBlRtXaNf7\nHD02hRFRuXrrPucvnGd+YYZr168hyyHdTh/DSLK/3yKejKNoCvVmB8+3uPDoOWRZJJ/Ls725gyAK\nh4mXdoexkRF2t3cQEYgYEVBl4okkH3/uee7evcfZM6dwLAvHCzm+MoWmR6kf9Gg2Ozz1zJN0+zY/\n99lPcvHy+1QrOzz75DPERBXJMRmfmuXK5ctcOLOC5gfsbZXpDbq0A5dsMsf1y5fo1/os5EZ4/eJF\nXvnJ+6QLKT75/CfQEDgo7TJTyFLevE+vc9g8W28GdF2ZJ3/mGdJzE4ShwnuXLtIf9knlM/TcIalC\ngf2NHdbu7rC7t89rb77H9158ja45ZHohz/LiCTLZNBvlLfZ6DU6dPM2rP3yF/e098A1+8vYlzpw/\nTbdn870XX+DB+ga+CyeXT1Fvd8gXi0iCwt1bd8nli8wtL/DXX/tbHjt5kseeOoZhKNTrJsVMioEn\nsFM+4K3Xf8zC6Wm8wMXzQhKRApffu8KzH7jA2Fges9PCE0HTowiKyNH8KHuNfTzBJZ3McPfOGnFN\nIxtNIgchN25vsHDsKN3OAEFQyGSy3Llzn2ajTa9rEgQ2L37nEo89uoimqrz5+lUsy4dAOPyeg4Bq\ndZ92u4kgguf5+L5HNBbF9zxkScYaDgkJcV0LAYFstkDoC3Q6LWRFxRckzMEA1w9wAg8/9FB1GVmX\n8TwPACEUEEQRz/URhBBJERFlEU3XkBUZs2sRBgLD4QDHDVANBVVR8HyLiBFnYA2QJAlZUhn0fAYD\nGz8ImJ8fo1kzaTUHrK/tsbCsMzBNDD3LL3/pyz/lYuYb/+4rqUyeO2trWAMTMQxJZgusVw9Ytw+4\nF8C+nqQzENASMV588RKPPnuKrf0HqFkJW+5jmg00WaRYHKe0vUt2NE172Ke8t8+gHXDy2DizR4oc\nNBrIWhTHkRl0fVQ5hmcPmJ+YZfthmY7tcGV1lbUHGwz7NtNjE0SVkMAakohEGB1NEYYeH3jyCcKw\nz+RoEiWiYQ+aKIHF/PQ0+wddWq0elmmjZxNEkzGmZrJU62USKZ1Wd4/CWJLCeJpr19fody18FyQU\n5mdm8G2HRDRNfDRLPxgQj0aJKSqLR5dJ5bKs3bnDoN/F1wJGs0VimQL37++ys2fSrZls79WpbnVZ\nPlagYw7Z3W2w/dDik59aIJuXkGUZMYzQ67XwA5NsrkC76+JYHvdWb5Ewcixk4iwuTbC1uc7ERJHN\n7SZKREePqWTyMQLBJxZPUCgmMfQotWYP2dAx2z5Lp5ZJ6jKGKhFKEna/yYlTxzgor5MII0h6hsJk\nikIhwWtv3MGyHQa+gCaq2Dj4AuiuhBBKZApZBARimkFMElhORehU98imY2gaIDqEgUOnViWtpAlF\nBcELyCUj+K5DR9NIyxJSQiOmJ2jXLYJUhn7PJheJ8mCnjK/q2D5MjozSPDhA01R2pYA+KmosQSye\nIJ/NIQsiguIjaDq9UKByUCafz4HfgX4fF53dvSrtQY8JJYruDCkKMlrf4Ug2z6DUIiUZyLaD2xvS\ns1zWt+rcHfhUnZBax+HAU7gRGeWalqRrB0jJELswxVDN0ev7RHMSUUkmEoki+SrRkSnW7u5BPEay\nGMVJyvTDAkE0iSl4+BhUmn1MMUK5N8TTBO5v3KfUqLFb7+BZbYJBmXC4TUwdkk5GMdSQXMohFZdI\nKSkiioMourT6A8qDBq1Gk4SooBka548sUatXuFfaRXQFZvMTTE/O8v2XX+Kxs+fRFI2ZmTkygc+p\nFDTX1umV61Qdl0g6B4MGQSrBzr1dorFp9HiavV6Nyv1NFC1PYjJNtV1lf9+iMDUFWob7b96huDBC\nu7xLRPYZLabYa1bJzh/nIDnCdUvCkVRGjASqpiHJEv1OgyNTk8yPTxLu1Wm2e3z9qy8gCnEebFR5\n+ulHmZ/PMTJhUHrYopgbRVNTvH3xDqEYkEhk8V2JaqXN3l6V2elZEok4kxMTmKZJr99ht1QmEk1R\n3d8nX0xQKu8jIuB5IREjycAaUG/UqexXKWQLhLgossDczDzbG2UiUYP8aBZBFPFdh3t373P29FmW\njh1l7f4apXKFbC5PJptna3sTWdGwLY+9ao1yZYeb1+7wcz/zGZKxGJVqmeWlSTIxg85BDV1ReeG7\nr1GudbBln5t33+fc4+f5xje+j+sHiIaM4yt0d2s8/uTjdNsmoWsSBCGk4njugMmJGZyuTW13jWRS\nY9jtAjK2MGB+fgxBsJgdz1PauMEji8usHJ3m9TffZdj36fYttESCiYkRjp88wY9+8hMCQcDx+kxN\nTTM1McG5Rx7h4sVLrJfX6Nt9Hr9wnvXrd/nZj36cwDOZP3aEXXOLpz/6JJZtIfoWOT0KYUC90SRn\npKmValy8cgPUGKKk4ociuiLzKz//c/zlt1/AdrtMjk9y7+4GG6Uu7e6QXD7J8ZUplpbneeTUSbqt\nDidOzDE7O8ZIIU06neHeZolquYprDtmsVjm7skLXanHhwikUVeeVV9/i9uoDQkXk0acuEAo+tu1i\nuw5Dy+ZjH/sE7WYbURT4gz/4PfLZAi+++CMGZsDAcWm3QwRhCCL4gU+hmGN0bJRUKkW9XiMIQlRZ\nwXEc0uk0/X6fYqFIEHj4ngSIdNs9fAJCIcTzfMIwxA99PN9DlA53nITQgxA0RcN3A4IgJCQgCENE\nESRZIBaL0O32IJSxbQ9NU0mmdRxviK4peDYEoYVqJPECjzDw8T2fiKHhuQERPUWz0WJ8KkE0olEp\nm5w6P4qi+Xzxc7//0y1m/uar//orD7ZaxEaKpHIarWYPq+NTq/WRI3GaPRCUgEQszt5+m6uXNzHi\nQ8anZpGjPr1BB1mSIdTJp/MkYnEu3byIljQo7dXYWqtx7vQspXINRJ16rc5+9YBYPEIQ+kiix1g6\njes5aKk4+4M2z/3sc9R2G+xtl/jIE2cxm/XDpsjtB5w4eo6Nh5tcv/wuoW+xeGaR9dXbpI0Mg26D\nhel5JibynHhkiYmlPLoCV29eI5vNkU7GKYxkmZgs4ng2l++tEyoiITJXrq+Tz2cRdRFBE9GTCa5c\nu4hvD0loERqdLhYhWSOGPbA594FnqZda3Lq3Qafdo7J/wOnFc0haHK83RBYajI1NIOohT31gmdWb\nV4kacURBRNcihIHIWDGPokkoSgxBcPGtBGdPz3DwoEM8m8EXPTptkxvXdnG8FlEjZGIsTmF+jPZu\niVNnz/Dtb75GzgiZPjpDo23SrLvUy/ssHZmh2eySiWk4jsCVd++wc9fm6U9+krXSPaq7DV597SG6\nLBFL6gi9IQIaaijjhQGOJKIKEq7j4faHhGLAZCZKPKEhSx6aABExjtUZICHQD33kRIJ4XMMMbFqu\niTsUsOQYjcEAOZQI43F8RWLlwkk2yvfxEzq2odMPA9KRNMlEjkZnQCJZpG+D44bsbpfRJBV/YGP1\nh6QVnVEx5GhMp2ApFC2BkZSBiko+GiVmSAQDHyIGPctHFgLuD5uURRXGRqnYHQxJxo24dDQZMVdg\nfCRPLp0inc6RHJkm0JOMGwnUrI+tThLoecZHi+iEjGWy2L0hlX4feWKUu+slxudmmCjojI4kaO26\nDPsDrH6bRODj2jYD00JVFXRnQEzR0aQooSoQiD5oIEWUw0bpAEQxQq3TZrfRJJQM7ECk52pYQQxH\nFDHiSSRZYfn0CdY2tqj2G0RDjaNHj2MkEjQOKrz07W8zsTCP6ltsX32dwcZFejdf5fj8CEYywtTY\nFLXqHvgBx04uY0Q0qm6XYa/Hqbl51JRGb9+iWd9mZm6ZgqLT6TtUO00ePTpP6cEWxeMrbLx+DbHa\nZmRhilvDOLe6UaqKRXdvj3x2AlnRqNT3GR3Nkkno3L74PvfW1vjb/+cH2EHIrTs3sbpt3nrzXa5c\nWqXXldl6UAcUvNCnOJkjmUrTaddxHIlIJEm3ZzI2Psqd2zc598gZhm6fwBcQpSjxSI6PffyjvPbj\nH6BpcRRRwTBihxHrhI6qaUxMTRNRYsSjCq5rISGzdn+bhSNz3Lp7k5nZKZr1JsVMkVajie+53F+7\nx4XHnuTGjdtUqhUUTaNaOaBUrjORz2N1IaJrhIHLmbPn+fbffx+/76IoXS5ceAJRlWl22mxt7PHx\njz2FSEAuO4oowsqZ09y4dpczp88SKCGtTp2ZxWnEiMFTn3yeN37wNksrK6ycPsnqnZvsV6vs1hpk\nMgU2SyUUdOp7HY4tzPCTH7/B7laJH3zvJaJZmSNHFwlsl2Q8yejYJOVSDXIKgeKgqxr/7Fd/mTMn\nT1LMp/nqX/2/HD17nEeeWGFmdpLVK1c4P3uS0HEQRQNLcDlz4SzFWJrHT57l/Rv3uLO+S63Vp9Xu\nUWkfkJzKERlJUpwfZVTTEVMhriHyxuuX+av/8p9o39onVihy9dYae/ttPvjhZzl9ZplLb71LJp6n\nvt9kYmyE7Z2HPHz4kHgiQyZb4KXvvUIQCnQ7JlIsyc7OQ774+U/RbzQ4uXyM7VIFWZeIxOOs3rzO\n+sYmrWaXRCKJqgqYvRZHjk6xW35APJHigx89y8bDOjdv3cb2A0LxkEUJCBBkCcu2sC0be2jR7fUR\nRdBUHc/zKBaL9Ho9jh8/Trm8i9lzGZh9VFUD2cMHYpEIwGE8PxQJfcAPiRoqyXgCgpDB0D4Uq4Cq\nKriuTzQZwYgY2EMbzxFx3QDdkFBUFVEUcGwXL/AIkAilAa4bEAYgCxCGh9ZVMpFkMDD/AYR3ME2P\nj3z8LJ1umy9+7r/+MvPfdDT7S19IhPFMlJ1qlw8/+1muX7rLratX+NCTH2OztIYWD9GNOG+/WiZX\niFAYVXn2iXO0am3u3rvNzJE0qUSGqBHDGfQxNJkgtMiNj3P3/hqBDxIS+eIEfSvkyq1bpAsq8YiA\nPehwZPoYO5s7JKIxJuYnqdkD2uaQyeQEvV6f99+9RyoaRTVi1Jo99ntd5mcnMHQZRQ5QJAVDTeBa\nLnvlXWamRlA0g1q7ia7IhEHA3NwckqyzW92m3m6RSGbwERCHIY39Jp4/ZHpuFlm1WV/dIKKoTKRT\nxJYz7LcabG+VmEhMYogqHXdAs9djciTFTsVj7cFdpkZU0vl5xgo59IzApfcvMpbOUa912C/XOHW+\niGOmEJCZni9Qqh5QLleYyI+RSMRAd0EMabe7bDwoMRJb4OH2Dr1+iGxIzM4tIUp90kkd2/IQQpHN\njRKSHGFjdZNf/ZXPUKo/pG863N+qE1ckeoM9RuQxukKHI/PzTI8s8rW//RGDgYXrO/g6iK6HLClI\ncgQV8DwVX7BADhDD4NByFNXDlfHQ5clHFvDae8SiKpVKhemxaVqOxNzCErdv32M8q9FqNIlG4gRB\nwKAdIIsqclwkoZiIpogrJRg4DlOygCg6+J6JpMmkR6doNFp0Oh2yooNn9Rj2bHrJOGI0Q8rUuW01\naOxWePTEUUqxGN969TbTo0cZmbDIxBQiepJADGkMXURlgpF0Br1/A8sQ2euOEc8eZ9ArMzbcJ4wn\nMBJ5Gn2HfC5BIIb0XIeBFKdVa6MMquSSJvYwyqCjYLpDdENAdiR8FBBtzGEPS9BwfBNBDhFcFy8x\nRnfoIvk+I5ksnX4fRxTwVQk1ohHa7iE7JAkg2MT1KLgukhTSFgVEWSel6ahyi6I6haF4GKMxjiVn\nGcmN8+r7b3Pl5hUiqSST86O07j7g7nuX8CQNv29ydm6Wg1ad0PT58Ec+wNPPPMaZnMW9F75GfmaC\n9MgIbtynftPmzr1Nnv3kExysP2B+Psut1bvMzMywXRfJz8+x+8arHJ0Y4+Hb+xSeOEpAD2VgEyo2\nAjn2Ohbi/AL/ee0+M0uLFGJ5uo6Kb7bQIhq7W7ucPXKEK++8yYnlFd596wovfOs7nL6wRCGT5WCv\njOtr7O416DtdNCNCOikSj3o89eSTrD9scXf1Pk8//Sw9s8md6zfJpLI8fPiQxeUltna3GFo+xUKW\niak0YqBR3tug0wmxrZBsOkm1ukc6ncY0B2TyGQYDiw88+RS3b11DDME0TT73hS/xv/3Zf8CIiiwt\nruD7AdbQJPRtivk8x47M881vf5f8SJFoIontubQOmjTrTayBwxc//wl+/KPXyWVG6Zl9EpksH/zQ\nM7z26vdYXd3lt3/313jv0jusb+zy2c9/Ervr8O3vfJfjx5coVaosHlvh1o2rfOLjHySRTXHx3TeZ\nn55CRqTVHHD//jbblQpnVk6QGkmQz+Sx+yb17gFf/NSnebi9x4svvcLC4hI3r9zgD3//d9AVkfXq\nOgPL4qv/5e/w3YBPfHqJQmKUB+vbXH7/Nn/yp3/Cv/mjPyIZzdKsO7iDOp/+2HM88ehpvvnCtzGy\nUZLxFLkRjV6vh6Ia1BsHPP3U4/zp//J/85lf+nk++oGP8uL7b6B2JVqNAz587hSea2Plx/kff+9/\nonSwTyoSJT6TZ3R2lKCyz3a5wue++E/Z3nqALjtkYzG63S4v/uA1OqbPyTNHOXpklqhucOX9G/Ss\ngGQqiiiKLB1Zot9s0qjX0DMpXnnxDc6eWKF0sMdercGZ00dYvbeBZfnMzs0gyAL1gworJxaZmZ6i\n3dnnyNwEL3zrRcyhhS+otE0H0YdQAFkTEEMIAgiCw9kCx3EI/BBZElEUBU3TSSaT7OzsACFHjs4e\nMiz2kPGJAqpmsLu7ixcEEIr4foCkykT+ASS2LRdZEfHc4B/OCVAUCVEU8f2QdDJDv99DVkQc2wMx\nxPZ8REHBtm2CIECKiCiyiOCBN/RxnBBdF5AVEVUXCXyFEJeBGRJLeoyOJ7lztf3THc3+9tf/+CuG\nHqHT8Wg3TPbLFQzdpzgq02wO2dxoUyp3CIUBTzx5gmI2x49ee5nZ2RmOHp1nf7+EH0C310OQRSqV\nClbfQpZV+oMhW1sbZNJjeJ7IyMQsuhEj8C1GR/LYPRPHhUwijyBKaLqGFwrcuHGL0vYOlmVxUOmj\n6RrZbI7xyQnEiIioeExPTtI3O3i2wrAfEo/FsB0H13d4+LBMNJoknRyl3xvwYH0Dy3LpdnuMjUwi\nCRqDjkVpd4tMPs9ebZdb9+8wszjLw81tGp02C0tL7FbWGDg+RiSG33c4feoslWYDLRaltleh2e0z\nOp4g8NqcObVMaXeP1TsPmDkyysU39nn240sk4wqpdJKdrRZ61GC/3iSaihGJ5bl2+RpBoDIcmgiy\nRadXY2xknGRyFEWPc9AY0Gq3WV/fwuzXieg6nu8wMH0SiQyFfI7Z6Ql8r4vZN9kq1/C9FJouc+rM\nPOPFDB3PYjyVx/M9rj24S1KMEzdi4GngDtElAQUdKRTwXAvfCxEcUEIR33YJ/ICYZqD6PueOHkN3\nXVQLiukijhziylGafYuuOcT3OwSKhCuGtE2TQiKJxgBx0EYZDtBMgagjM5tOEwzKOK0qrtnAcQdc\nPehQGYbsDUI6nSEVWeFATLKeHmcjOcZQzHDft+iKNqePjTO6vMClK7cYy48xMy6QTXjEYzqS7aDn\nUxQnFhnaLskIqKKBS4F4cQYtHcHLG3RjEQ4sD98R2a83qXd61Fpd9rarqIKKa9m0u20aXYuBDZ4g\n0wtcpEiOmiXSDQTsUKAt+tRdh4EgE4hRpGiMXhBgBZAwIlieczjeKYNuhMQjEmMjSUYVjZQhMZJJ\nEdEUxieKXDh9jvmpKZYXZlhZWmImLBBVfNr7ba784HX2bt1lZ3WViJQgSBj0e11uvn8Xy+oTEw2i\nqkrtoAaWja9JbOzukk+M0GibHF2eZ9gd0Np+yF7NwvP7nHhsiR+/+COmTo3x4OUbzJ1YwCy1saUo\nG5fe4pEzJ6n2+kzN5ni4ehNNzhJJKNh6gOb7DNMZLgkh6twFOts1Hu5vMdNW6EgOlcYej55c4e2/\n/wHPPv4of/2Xf8PLL7/Bb/yTz6JELBaXx3CsAbmiiOkcMDGZoV6vYbZ8Pv6xp7lz8yZTc1MYEYmt\n7Yd4DhQLWX7lV36F8YlJVu+u0WjVMAwDWZIY9lxKpR0mxuaxBjaKplKulBj0A5aPL5BOpel2+gRe\nwOR0ltVbq6iagqYaXL50Ed8TmZqeQFd17ty5x6DfJwx8ctkMvX6HZquNKMmkUmnu3L2HY1k8/9xz\nZGJRNFXGc8H3RbLZDM16g0Q6yV6lRLvdY+XUaVqdDrfvbPDYE+d5583LuH5AKIXoho6uR5icGmfj\n4Q7b5T1+5/d+m3p9n+s3LjMxNcHaboVYMs5nPv85fvjyS7z97mW2Srv8q3/5L/nf/92/p9GuMzY1\ngqxJXLt+nW//3Ut868VXSBoaX/rFz7Fy8jgLR+cpl0qIaoYzF87xw1ff4PnPPMfiygle+P73+fwv\nf45arU6gaLz42qukcnk0zeD6tTtML0yTjMXotls88ewH+M73vsvK/DE2tx8ylYizfukG3/zmC+zU\nW6xu7HL52g1uX39Arzfgmc88T24qQyoFk5kk2VwUSRMQZYULj6xwfGkGTYQrV28gShqjkxN85jOf\nQtVlbMfmytVreH2f9Qe7uI7P+sYOrV6L0elRgk5Ax+xy0OuQy+WRBR8/cHHdAMdxSaaSOLbD1MQE\n5XKJzY0NhDBg5cQk8bjAk4+foTew0OQEqqph2RayoiAiIggCQRCiKAqEAoIgoMgyvu9i2za6rtPt\nmkSNGLWDA2QpJBKJYg0dzP6hReh5Aa4bIklgRHVEJDzXR1ElBn0HTZfRdIXh0CWeMOibDtbAxzT7\npDMGZr+Hokj4gYcfSocpqDAkcEOMmIEqy4cRbNdHkg83BG0/RDUEhpZPEPqoss5jj5/HdXx+/dd+\n96fbZvrmX//ZVwRRp9HoMzRtnGGfSFQkP5Jn7X6VwcDn/PnTaJE+QWCjSDFc30RWBVQZFAX2D1pI\nkQiW7bC1uUMqnqLROASo2u0Go8UFRkeniUbTHNRaxOMRDFnj2Owxen2bYnESs2dzsF9H0XTwZWRR\nY3xilhOnplk8tsDQ6iKqsPpgk1azQ79jkYplOXHiFI7tkUwkmJmfY3Nrm5GRcTxX4PatLVpNEyOu\nI4gi0USMRCyJNbDoNTskkxG80OeRR8+gxQ1QBCRRodft4XgeRxYKNDot7q2tkdKTKIqIoMgki2nu\n3bqNqsdwghbjI2k6tT6JRIpet8vGdoNuzyeZ8dEl2K/5hGg0uzXMQcC9zQfcuLlLXB0hl8tiRIck\nE0l8X8APIZ6Z4u13rhCLJzHNkMKISjyWpLpfp3HQZa/cZdD32dhcJx7X0GMiQWBz7e4Ohi7x1IdO\nMRx0EAgQ4z6qE9K3ejiaTFAdElVFErqOLIcoQhQCh0hcR5V1gsBEMuIMrQFG3MAmwBcDPM9mMOig\nSB6qoNBvm8hSyMB0WTq2TNjpk26aTDkqsZZFXtLYbbTo9qBtBZR9n5KhsD3ssTeockvssK9BO6pT\nj8SoGlMo+RXaboaoNkk8O4ko5IjOncD2dKZFhQEiB5UdlmaK9FyJ23cbpDNzJDMqoq+Syh5hr2yh\njoxgOiKRdJGh08PqmQzaIVZjQHOvxPZeCbO0h1/v4DQ7hKGL6fYZCi7DsM9gOADNYBgK2L6Dp8i0\nuyaiHGDKMqasUrW6uEHIyPgIg6FFEIrE1BjpjIKv2cRycULZIV2IMTWdZ2a6wFg+xsnFeaaKGcbm\nxnnyiSdZXl5gYX6KhBqjub5Os/SQ+rVbXF27zcvfeY27D69zfWMT0RhFGcuQOTPN5JNPU7t1h4lk\njJ39Cpqvsr9fJxZJMBhapKJJZFkhtCyuv/0OYSyG1nhIJhZlYXmFmB9FzCfZf/g+Hzh7mnajw9TZ\nR7nz+vtEXYPYqMhcIc39ewdImspmpczMiXm0QYdrlx8ycfQ0D90Yl2Ij3HY1rHslcmqaqYUFOoM6\nWiTK/OwM/eoGk6kYtfIOlXKZXCbN8ZPHefCgjN0V2dupkcz6/MIXPkJ+JIYgwtxUkdr+Lp4b0h8q\n9Do25d06Zq9Lt9vgpZdeYmtzB0XXkVSR4kiaeq2BZcKplROsrm5iRBSisRj9fp90Jk6IwKDfZXur\nwtmzKwhiwEc+9CzxhI4sKlSqFY4sHOfIkVle+/FPOH3qDOvrm5x/9Ax7ezscOXaE4yunSSSSbG3v\nIEkShq4iCCHe0MRxRTrdNhOTE8iyRjylUdnbxRyYpFNp1tY2aHX6DIcD7q+tE43FEEQBxxuiaTpX\nr13HiKisb+5w9tRJdF3moFnmd778W5S3NimMjuLYLnc2N1jbWieXS7B47Aj7OyVKpQrLKyucOnuG\nv/mbr/MHf/hbrK3fZ2wyT+lhlf/zP36VzfI2d1bv8pu/9ps0W9sUM0kOtveYH8nSKjURLIMfvvB3\n/MZvf5lQ9UnmM1SrTX78o7f5xCefxWnbzM1MUqqVqHW61GsdlnJLhIlR/uc//Q9ceVjm1PJx1h+s\n87BcxzeSuLZFTBX46IefZbEwhpKMcPHVt3GdgFOnz/PCt1/mzo27CIFAu9Zn9d5DVu+X+ZmffZ6D\nRolKZY+bN26yuLiCE/gsHj+KEdFIpRJUyw2sQcDtB/dAEsklkhRHinhhgGXZxOJJ8TfSiAAAIABJ\nREFUZEVCFCWKxSKpdIp6rQEIfPJTz/HyD19hcqJIZa9JrTHA7A8O732zByKEQQDBIaArCAIgQBgi\nCIcOjCgK9PsmQgjRmMLZR05SLlWIRuPohkgsnsK2HSRJQhQhEA4bgF37cJ7Etl10XSMWjVDI55El\ngYgRPVx8T2fI5ZKY/RbJZAJDN+j2+7huiICI5/lkcmkGvf6h0PJ9AARBxPXDw84lA2RRASFEFGT2\nyiUCX+T3fvdf/HSLmW987c+/Uqk36fU8ivk5ksk8XbNDbmya+/c2OHPqOCePLyCIA2xrwPLScRoH\ne5w8uYjrmBRyMRKZCa5cvU0ynSYRjWEPh3hhwP7BPoVilnptwJ3b97Bsn82tLVzLJhXJ4A1D0sUR\n3nzjIrKokU4WkGWNXG4UVYmSTmfZ2l7FGgwYGSkwOzdHKEtElAiuNUQUoN09IJGK8fY77yOIMqlU\njrff/SHT0+PEoyMEgoQXeNiuSzIRJ5vJYvcHDE2TYaPJ9NgknjtkeXGZ1Rs3cXo2j589Szai87EP\nf4hYNsL41CxO18Hs9dja2yUUfGYmJ9mvtxgZS1Mt7SH5OvVOG9cWGZ9ZwLUgEGzatSG1pkd/OCQ3\nkmNzs8WZc6dptPqUN9skU3FOnZnEcYfUGy3abYt3L9+j1bYYDD3CUCMSDQGZYmGCVHSM+w92mZmd\np9Vp4gUDMqMxxqZj6JmQn3v+Q1TLNaIaXL1xnam5BRhAIp1js1IiTYxU1GBo9gjFBJJy2K0wcFVc\n10HTJGTRYTQdRw584NDzTekxlsaL6EKI3x2ghyLK0MJq9klEoyhCSGXgUO6YBJpMzxlS91KoCyt4\nqSxGLCQalcmlYkiKQDRVYCw3RkxPoulx/HgeUY2g6hFsv8VcXqXfqRFEVCbn57GHHk4ENjbuMD+d\nIT83x+pmg0CNQNqlVe7S7vg0Oj59D1qlFl4jpNo8YKtewhwGmP0+TavNUJbRdRVV1wjCgIHgMxA8\nfF1mOLRodNvIRpShB04wxA19REXHCm0iMQ1DVQgFh5SukEpEiMZFMok40xNF4vKApblRJjMpLiws\n8uwjpzizeIS58THGEnnkgUNw0GN7t8Lbr77Fe6/8mPd//A4/efV1rlTXUaQEHUUkWUxw9MzPcOT8\nCZZOzfLYhz7I7PQ0zb2HxDWB6eIEw1ade29fQgxEAkMn0nNRZBUrIpMa+vTqA/7Rb3yef/zB4xzL\n6Vj9Lm+8fYOxQo52e58zi0tsXrmGnhmj8nCbE488Tcd2iUwU2NptkIjrJNIREvkU9S2b/cGQxy6c\n4/9ar9GbyXPQcJANkYikM7YwQ6e1x3A8zkQ0h9vp0qncYXY6ymg+R6VcIR5P8PcvvY3r1HjqqRO0\n6z3u319H15P88Lv3cF2bJ588zfhYEc+DUFAwzQ6e79DudPn4cx+h3elSbzaQZYmZ2UlKu2UQBAqF\nKEcWFniwcQNZMtjbazAxPU4QCAiiBKKHrsk89/yHWbu3jet3EAWXXLbIxuYWo8UxXNeh1+vi+T5+\n6KKqMqIsUasf8PZb7xKJREmlMyAI1Ov7DAcDFhaO8OabF/GFkO3dLe6vb/LUM+eQFTh9+iz37q/S\n73vs7zeQFYn5uQVu3rnH7MIstuuys7NHPl3gsUfP8/TTZzi1skKrUeXm1UsclMpcfesaZr3Oz3/u\nS4wWxjHdOr/0hc+yMDHN1771LcJQots3EUWBfC5HrpAkDAX+yRd+gXL7gOzoOFffv0Ntv0O5vMv2\n3j5aROGP//h/5c033+LqjfscNDqkCwb3728TlSQ0Veb7r7xEH49f/81/xFalRKWyydLoFEdGF5ib\nOMp//KuvU9qrMaxbpKfHWDl3korVIaopJNJpQtemXN3HDGz0lsNGrc4vffrnqe/3+cbXv4OmJeh3\nBlx87zq/9c+/zJUbqyAJlMo7dLoHzE7PsLtTZWurQiQW4XOf/yy5Yp5SuczAcjl18jTnnjjL1uYG\n8/Oz+GFIqbxHOp9jr1olQKBr9jD7ffRIBEk8FAKnz51AFqXDRKrnEk9N0Gw36bRNQkJESUYURBz7\n/3/h8VFVBd/zMAyNVDqBqioIiLiuiy4bjBaLxKIqO7t7eG6IIssMrSGu56EbKqIk4bounhNgRFR0\nXcWxfGRZxPVsREFiv1rH9wNSqQR+YGFZNkEAfhgShCFBIBJ4AmEAjmuRjMcwuyaCEBKGh5aYrChE\n4hHCwEJWpMPQhCDiOC66GuHLX/6vi5n/ppmZpz4khu2ORq3hMT1h8MzTp2nW6rzyk1VOn5giNAPS\n0TxO0GD52CITYznk0EUID9kYNJe33tuk13WYmz3G3TtXefKDy6xtr1NvNpAkicdPPIVlWbQ7LWKJ\nOBvbVU4sP8Kg57C9v0610iSfzXNsYZbGQQXbc5lbmuXy5cucXr6AM+zgWBZds8f4bBFZVHn9tVc5\ncWqFQSiztl5j0JcQBYFMymB2Ok/oDGjWOti2iGn1GBnP4CHw/Rff4sTSPIlYglQxBoFIJKJT3qsz\n9Aasra3xieefoVJbYzI3S1LW6bRaFOfn8AWJOzdu0qqXGZ0vYHpRerU2Z5bPcuPaDxk/cY76do1G\n3SKt+dT6A8q7Lp/+7AUerG7huQF37m5x8twxBCTur3UYWm1GCzbTE1kymQx9O2D3wGXjYQlVTSBI\nFqlYlPnZOarlA65efMC5C0u4Vp+JkSwBQwKpjR6VOXJ0hq3LJsvzeWy7j3wkx+aN2+wc1MhlR5ka\nn+P2vQa3L99laXqST//CEzTr2zhmwIvv3COwLP67X/o5fvSTN9i+uU7GiHDQt1EzGbSIRlrTqVUr\njOVi4INj+WRjInIsgVKYoSEUEHomSbtO3Ai5OoiRGzmCaHeJpeqkQoWIVuAgkHDECP7QQwkUAl+g\nYg6wAS8MqW0dcjm2bZPOprAGHaL0gRBDVzF08IKATl9iGIr0vA6OqxCqGkEkIHAHmMhIQoy4odO2\navStAEIQJJe4H8HVVQqFLK1GDUPWKaZzSIJAu9MkkpPRZZ2gL3P6+ChpTWfgaBh6jFReIBAVzMCl\nG7ooe21k32dQb/Bg6wEP1rZIaAkCUaBl28xMjbO4tMBQAHliingqiec5FOI6y5OTbK9t4wyGRBWJ\nK6+/S7Ve5Ui+yP5qmZJTp7HR5WMfOsYPX/0JDdPnz/7od/nI+Txf+MV/zb/973+fi2tb/OnXvkMu\nksNJHs4rGLZHiMOvfumzpBWd//znf8s3/+TXef2V75AdmWA+alC6ss3pjx1js1lifPYE27erpI6m\n8SyBQiZOZbNLpVNi+cJZKuv3SURnuNe2kManeXPzAc88M07ffEipPWC4c4yu57KyPM+1S1fIqBaj\noyqdfplcNMWLf/cepfKQRH4EKRUjqca4f+cGz37wGK22iajE6Q767O7USUazHFsa4/bt23zw48/x\n/e/9AGvoE49lGPQtfvGLn+XvXvgG5y6c49UfvUUoCth9BzHUOXVynN1Sh53tEpIc5czZRfbrZZBA\nV1QIfUYK4zQbLSp7GywvLnHr+i10LUmnN0RVNRRNIpNNsLq2cfgz8QMkSeLYkSMEQcC9tVUiMYMv\n/dIv8pPXfozvyazefYCq6uRHUpw+s8jrb19k8cgUjz/6LJfff4e337yBLKuIkoMiGzz3qed55Uc/\nJBnX+cJnPotkWywfm+Lvv/EC26bF5MwYnU6Fen0fOZnnn/3m77B64z5ds8f+g3WajQ6lZoNkIsr4\nZI7KXpVzp88w7PWYmZ1gcmYMNa7TfdikVh3y+qV3+ef/4nf587/4T/TrHR598iyvvfo6H/zw4+SL\nOjE9zcsvv8ZnPvVRmh0L33dZmJnnzZcvsb62x4UPnaZrNrl66wpHj84wM1lAEQUeO3mG/+Mv/wK7\nYXN86TEuvnGJ4hOnWTm+QNTqokk6TSSsgy4vvnMVpaUhGz6Tc6OIKrz95jvEolE6HZdQ9shnM1T2\ntvjMJz9KZa9Kz3S5fus+c0cXsR2TTrfO1MQI9aqJbQVML81hdVoM2y1sXyCQNDqdDql0FkmSqFar\nRCM6I/kC1WqVSrlKYTKP028jeFAcTTEMBVrtDvgKA2uIJIiEvo8kiNjO4dyAYeiYPYt0JkI8Hqfd\nbuO5LoYmEYlEOLmyTKVS5tixM2xtbXHi1Am+9/3vEgpgWRYBIMoSwVBAVh0MQ6NRs9F0kBUBWTIw\nTZMwDEkkEtjWoZXluj6ZXJJYMkb54ACr76LKMDUxRrvRo9vroSoKgnAY+XY8l1wujRENkOQBnh2j\n3eygCBFcr0+7G/x0MzPff/0rX7nw9Fly41Fm5gwius3kxAhGJMN4MU3rwGPtXp1iPsGxuTncYROz\n3aJV7RCLJehZXWxXYWZyjm5riKIITB8tHloUgYvjBsRUA1UTaXdqRGMqihFha6dEu2PSG7aoN1rk\nsjma9RqnTi0zNTPFpasXOXXqETY37hC6AaMjBWKRCLWDNqELETWHoScZeCo3b21SHB9jbGyMyakp\n/uLffx2VCP1ug2G/z2/99j8mkRRJ57PEE3Ec18P2fOrVKoYSw7M8bDPg/NlzZJOp/4+79+yOLD3P\nc69du2pXzhFAIWc0Qid07unJwxkOZ5gkkqIYj2TK4qJk0wpHyZplr6O1tLx0LPn42LR0xCFFikGk\nmIYcTp5O6ITuRmigkTOqUIXKuWrXDudD+1fwB7zfr/e5n+e+GOrvZmJwmK3tNSTNjloX8bdHiCf2\nmZ6aoSfaTpUKusnD3PQiKws7TJ4dIdOQWby7SSqdZ7itjWQuQ7mm4LRBIVtCbep0tLeytRVDkyXS\nxRqCAUJ+N36fn63NbYKhFrZ2swiiiGCQKRQrhFscqDJkUwV01UyxlKJWKaPJCpVcCYdDIp/P4rCX\n2V+ssTW/x6XHTjGf2EIsW3C2tHCQyKDWZBZTWQqFBplcls6uJqVyhVDIxeTT55AsMoGglcHhYSJ+\nOxdOnKEsa2TLFQKhMBaHjVSmgMdrowE0JTvVeoaunj5sgQ7q5jD5bJk2jx+zaCVbdxPtOo5QNJEp\n2dnJu9nbEMkeCGwexDg8LLOxHSeVySNX9zFpaYRanIjTQt1QQjHWqTXK1JQGislOQdUplFV2lCab\nWp2szULdZKSmClRFGw1VwmKzkc4cgsmBUxdxuO2IxQYOuw+bx4Xb48BhtRENuAkGnIRbvfR2tDPY\n00XQZePs8WGOnRlgsKeLwZ5RNLFBo1Ehls+S2z/k3puvsz+9wszlm9y7fZ/c8h65QoNKuULJLNBz\n4RLdAxMMTIwzfnKC0+cm6R3swu12oJcq+Jsa/lqdxvQ97l+9wf7CLMu3bnDrzfdwWATaA06++a0f\n4TQ3efzJPq5MzfDJcQ/HT/hx7sv4Ykt8oLfOuw/y3Hy4jEUoISc05ICbkqBhEkxUUgWcHgfvXl1j\nbmGR5z58ku//6E3CwQ7OTp6jkt8mcLqVpVvb+JUwpdIqzuF21FIRY9nIg91dvE4breEgi1NLhMaH\niaXy6C2j/GzzkLI4wJXLCzhsTly6j4xX5chgL0qjwnMDXrDX6OwJ0ZDrPLyd5PFLL7MVO+CLX/5t\n2ru89AyaGBmNIuIkfpDgIFmgpT1MoZzh2LETrKzMc/TkMXZ296jXmzTqTTKpArWaTLFUREPGbDYz\nOj5JJp/hqaeewuUy4fa4ULUK27sxJJONje016moZyQL1ioyqamxu7OMLWDFgJpUoomgqwWALRqNE\nONRCIhl/dGkpgEVyYjRacbt8GASdeDxOW7QVBLBYzDzx+BMcptM89fgHGRkZIJ1OIssKmgEURSN+\nkGF7bxODICKKEv6AHZvNwf5uikatRme0ne3VDVo8ToJeB3u7m+zvJajXKgz0D+DxeNldS0G1Sk9/\nJ7vbK0gmG5cv3+DY+BihqB+XI0Rf3wAiBrra2xARQWgy9YtrnH3qLL94+02MVp2D2DatgTYGTwyy\ns79L0OfFKjaIBD2cOH6UjnYf96aXyCR3mRgdQjMI/F9//TUEc4OnnnsaVZdpCE0uPHERbyjA6uIu\n3/zGT+kfnaCm2nj6xceo1Mv4Qy3cuXoZo9XC7O3bnJgYpp5OE0tm8IQszC0+QDDJnLl4lNNnJjCa\ndFZW1xmZGODzX/gMZ89Msv5wkZ7ubtbWt6jWqly68BiKrOCwOpAbMla7i2ZTp5zJUykXqSt1jKKE\nUTBRLOax213YrDb2dnfxul04HA4ko4mOjnZUQef05EmOHe0nmchRqpep1Js0m4+cS2pTBV3HKIpo\nuo7Nan20AKzptHdEicdjGAQBu81JSySA0mywtrZOs9kgkcggCDrZXIbD5CF1uY6iKAgGA3JTRtAM\nSGbw+TzkczUEg4bdYaPZ1NA0BV3XMYpmmjIYBAGDQQXDo6hb01XMkgFRFNA1BafDRbFYxmgyUK83\n//dbAxaL8RHgiDUOD6pYLGbsFhe1apk/+bNXfrVjptff+L9fyeYrOAwGUukdZNFILFHDlpE4LGYw\nm1Q8Hjv9ne3cuXcVl9NBqegi3NnHys4M6XyKw7yBbL1GMVtGVAX8oSz7BzF8/lYMiNTKSXL5Iha7\ni5Xtbdq6XUTDUdymANmailnSaMglKpUmPr8Pk9GOaDaytDxPV/Qk+WIep7uF2YV5DJKfXLFCKpPH\n5Qpx59YDTJLI/Nwmm6spnC4bnhYLFWBz/QBRt/Dea9dRijVKtTxTc/dRjRJhfxtrO2Xuz6yQSpbp\nH+gkEvaRz8Uol7LEthKMnjqHLkOlVKCQqtDT2U2WMssLSX7j4ycZPzGB0lTIHB5itjkpHKYxmyUM\noorBYUXXjdgsYBJtLK9v0dXfS7aksLGZJ354wFhvGyfGRhB0kUq1gNXhQZKstLYZ6OvzEYn4SO4X\ncTmjrK4uEGxxEPB0Ua9XOHa6n4KSoVArYnGZCLb6UVQT4V6Nsx88yuphksPYPoP9LbRGTIiGMvF0\nmg88eZ5gQEBTSjxY2GZ4KEg8eUi9WiHSLrG4vM6Rzm503c0PX3+HiqKjqo9+qHKzSapYQrc6MVgt\n6EKFRFkBZ5D13RxtgS6KZZjfyhGrmCgVE8iFDLnqPrnKJkopjtXWoKBnMJsldL2BwyVicxqQ7Faa\ngpGaLlEzg25qQVGMVBWBgkGiZDWRauhkJRm1pCCIbhqKlVqlgmBR0ZpmLFYZ0ZfHYevE6bJj8+sE\nowIOt5/W7i6GeqP0jndwcWCASF8PrT1eukLD+Px26gYJJBVHLM78/Cp3r93h7dtX2Ll+j52HKdJb\nC6zUDvBMnMQYCdN2tJ/xY49x4sJphk70MvrYBSIt3TjUIi1mAVEqk19Nklh5yMHaLgu33yExs8DP\n//Vttu7epNNb5uv/coVnu6P81z/7GD+deoc/fuoov/t/TLLyYAlrochf/dHzFPZ2WX+wyt/+zb8n\nNr/M8sY+490SJa2XWzeX8YYlPvrV5/jWP73PC0f7qJaydAy2s35Ywus0cHhQZSOVpv8ZH7l6Flmu\ncC7Yx/L8Cu1DA1hRcba2c7i1Tb3SwNFtp82ooysC28sJjlya5O31dYSRIywf7hHqinL75jTPXjhP\nLZHCrNUpxCp4HDL18ibX35jnZ2//CNXkZHRohHSuRM9wkHwhTdDr4B++9g+8ODlOvaDw6jd+SWtn\nH909IXb3trE5TBgMEmaHhVThkLt3t0AUMduNuKw2BAOgNxgZGCCxv42Iyvj4EMmDLeqNLBvrSZKJ\nJN3RPgZ7OmkaigwMBujrjXL9ykMmzx8h0mlDqjcpagac4QD1ahVjvc7TFy+wuR0jfZhC0wREwUBT\nadLd24nJbGLvYB+z3YzSbGBUVU4fO83UtVtcvX6HifFedndX6O7pxOV10ndkgL29AzRB5+SZs+wl\nE9g8diwuF5pRoFkr0RbxEtvbpNJocHlqnqk7dzFoAorJTC5VIurzUssV2c1UCQUD7GxtszQ/z2B/\nNwMjA1jdXt55/yY9XZ289+7bHD93jGirj5tTV9jZjXN07DgWq0KkM0StpHL33gP6nhhmtLud5Qfb\nvP6TK2RTRQIhF++8/x7FYoO33rzNrQdrBCLdRMPt5As5JIedWCpOizdIt9mCnq3hMlpJppP09vUx\n1HkCm1EiXymjINAV6EIp1/nIJ38dhTqrc8vYjW7SlRLxbJpKo4E/6KCSybK3tknuMIsqm1hb2ODK\n++9gsui88/5VFKVJJNLG6NhRVlfXUFWZ7d09XOEwVbmBxSxysL+LSZKo1po4XT7OnrvA0soW7e1t\nVCo1/P4QqXSGne1NAgEPExNH+MJHniOzH+P29btEQhF24jEMIiiomM1mtEaT1pYg1VoZyWRGMDRx\nuZ309naTy6dRmw2cTjv1RoXunh5kRaWpqBTKMho6yUyG7a0kgmhEVUE3GPD5fGTTFV544jRBT4Dd\nrRiKqmB3OFGaGuVyBV0TEEUDTbWBKjSRVQWDSUIwCFTKVcxmC0pDRtA0Go0mcqPMY4+dwu1ykEim\nMIgCMhqRthC6lsdiljCZNIwmKwZDBbvZxu9/9U9+tWFmY/OfXzEILvxuD+cvjGJ2iuxuaqiFCr6O\nMIVChb3dFLVyGbPdgNkuYpBcaAaVw2wMj8eHbjBSrRVwO73omoFASMXmdJArlNBkA26bhqrqyE0N\ng0WgXDchmZxUqjo+twWPR8LvdzI4PMRb790F0UEsliUeL5CKJYm2RyiVcni8TsoVhWw+w2HukOmZ\nNXKFOlvrecxGaA1H6GqPYhIf7X9kc2lCkSAtPhcmq4pqttEzMsDeTp656U1K+UOCHicvvnCWjmgL\nBnOV/dghnV192Kxm8tUyuUwag67SM9CHN+Rg8swR0Cu47RYeLO9z4+Z9ujt7SWcO0TQjqcwhrW0t\n5PNV6vUqTVlEMJjp6ukgl89TrtZoj7ZTLOTo7nIQCLoQDHUyqRr5nMLmxg7RDg/JZOyRUbdY4yCe\noqMrQqTFz0GiQLjFR1tnmJZIN5WqjGSUsFskVC1LX88ggm5F0Ro0lALR1k7kZhXRImC2W1EUH4mD\nXcz2CuMjw1hsRqI9Luq1EnrdgNMU5Zvff5t//dkNDtJ24qkcmiARP8hSLDYwixYcFictkR6s7n5q\nVQs+dzvVZoNYfIuqnEeQ6qhCne7uKFZHjVxxh2ALBD06/d0+NGOBiigiWATKjQayUSLdkKkKUNYV\nGqoRm0OkSh3BLiKZQXSKSFaRSNDH6YkokttAMOKm1S0x0t9Le5ufseFORvoGmezr4GhLiO6Tkwx0\nnWC0dwCP14pPreDO54hvVdjc2GT+rdsczNxl8fZd7k3Pcm9lD0MjR7HRwCZ5CYSddJ19jJ6JpxkZ\nmuDixAChTi9j/ihGt4BDq2Ks6awvz7Bw+R0KyQwP3rnK7uoKs1dm8dV36ejo4tW//zb59T3+x19/\ngVe/80tOBx3841//Mf/re7/gksfLi4NNnnhyjH/86x/ywXE3H7x4gtffnOKLH32MgD/Mz9+d5fMf\nu0CxbuGt6w8ZbA/y+sN1KqKIN2zh4589jdTmI6ccotgP+eIXX+a9n89RqVf50pc/xtGTQT70/AVU\npUTHYAuLe6toug2loSKaFWZWNzFZRXoHelmensdiNVPO5RkeP8+NtS1qnd3cvjtHqS5jkiQmJ4+Q\nyyzidWVxuXI09QoGIUNvZwv/+r+mcAac7O0fIAlG5mencTkFujojzD+4hSCo7G2lqckNvIFWkvsK\n87MLtLe20tURJZHeoFFukNwtoTdNOKwObJKNk5OjbG3vcnhQ5sKFk8T2UhQKWQoHGfq728kdZkkd\npjh7/jzekI8GsHx/EatbJ56I0R6NYBHMdLdGEZo6O/E0+UKReqmMx2Zna2ubVLFIIBgknc1gttpQ\nNJWdnV1yuTyBsI/WcIhf/7WPMTo8zLWpKebm5xkdHyOW2KOpKsTicaJtHWwsrVAvNRBUjXq5hkkX\nOH/2HKKiYxaM2LwuJE1H0gXagq34W4N87ktfoK5WOEgWkDxWFjaXSOeKhFqjzG2tcZhNE44EMeoq\nVrOVnf0YgWCA9y9f5djoEQYHuth4uIDDZsbhdvGjqWu88KFn8Zgd3Lgzz8bGNn/+0me4NTXN+uo2\nhUaFL/67LxFu9fP42fMUkhlu31rGYpdw2E1cffMmne1emlWN7fUN9nf2sfktKCYBb8hPYifB088/\ny2uvv0Msto/TYMRhMLLwYJmNnQ3m7t3G73WTrZSQXFbsZisnTp1ipKuHYi6LN+LlIJWkWKyQTRfo\n6onidrpJJuKEQx4ki4dQuJ1wW5BMOY/JaKStNcLa4jI7m7vUqmWCHje6IOBwe9iL7bO6toauKpRr\nZQyiSPwgTiQYwON2YDUZSSUTZPMZfvza2zSaTWKHKVR0zGYrCICqo8oqNqsFXdcpFuvYbGYEREwm\nM8VSns6uDnw+L7lcnpWVfWS5DBjQEWg0mgiAyWREBxSliVkyUavXAA25XGJ7d59KrYFktVCrNtBU\nHQ2w2SwYRBGDKCAYjNRqKgYD+HxuRNMjj5PL6cTpcODxOBEFAYvFyt5eDFXTsVotNGSZ8xfOcX96\nmabcxOIwIpnM6JoRQZD5/X/3Z7/aMPPtr7/yimgy4bO5aFTyIBhx2T1MTc2QrCfBYKDWEDFKYHKK\nSFY7yUoMZ8hELJ5iffWQ8WOtJLMPGZnoJB5PkS+V8AXc5HOHZA6y2A1eOnuiVJoGOo/0MnV/l5X1\nbWLxNLfnNoAQuhJg6vI9yodVaqUsRrXG+oMNPvuZj4DeJNrTSqGWYy22QHd/H48/f45An4OXP/15\nMILdaie+vcLuehyDbKSaj/G53/4k12/fxO5yoJhMXL16l65wD88/e46BI61Y9BpPP3kUu9FMJOjn\n5vQsJ88eY3bhIYV0AU0TSFcPmZ99QDIVxxl08+6/vM2xk2Ncu7pMZ0cLY+NjbG7v0aioCOgYRQtK\nU2R7M046VcPucFEspanJcXp72+juDrK/t4DTLtKsNbg1tUmpUqct2o2q1anW4tu/AAAgAElEQVRU\nSmyv5Bgc6KdSSxAMGfH73BwkYmiayvmzj7O8ssD66j5mqU4pm0OpN+ns7CYU6KfaKOFw+bk+NU+k\nrYP1jQ2qsolGw8XU1CblsgiaiWpZwNdRxaLkuTO1jzt8BM02wHd+8DYvvnyCk6cDjA7ViURMvPDi\nE/Qe6WZ2dRNHuAXB6WU3k0A0pfGFJOxeI339TqzWfR671IovUKSzV6ShJjAZS5w63UuLHyQlD7Uc\n9UqWss9NoMWDy28n1BIgHPHSHg3hdVuItjg5NtJNtDvKaLSD54ePcPLkABc7BxmLdvDSsV7G+9vp\n1ZuE2nzcWV1mf3We+O0ldu6ucffGNeY2N0nG9thYWiCX2iSWF8iYOyjZgni8FlqivXQOROk8e4z+\nkJ+BgX56Qq2E5SYtbhPNQh4hr5N9cJXC6m3e+uevM/fuTQaMOf72r77B1nvX+JsPjfA7f/ifOdWs\n8b3/9zOUy0VCy9N8/d8O8+RLl7j76s/4w2c6+eO/+hKZjQM+25niP375g/z87QckXn+Tv/va7/GN\n771NYjXNcxdP8LXvXyNqtdI9PozY0ok5nmLiZITCQQpDvcDkmVMsbOWZurHMh//TSww8OUJ7S5j1\n6wu8+p37PNkX4eX2AdYfbFMpKPgqMqraoBzfI5OMkzf7eOveVbytA6RMFnpHeihaB9H1Gr3HXyAQ\naKeUVTF3tbFplNiwulism8jLEvVmHlFRCBgEcpkVLGKVcvoQSjqi4EbJq6R2srR5Whg/0c/Zs+cR\nVJ1QyEFsN4HPG6RUaDLQeQnNYyWWS2JwFBmcFPBFjQwdHSRTTpPYK3J85AKtgTCTk11YzQ6CwU7u\nzswzeeoUA4N+Hsys4LALDPefZG7xIV39XTz51FOsPVxh6f4cyf198oc5Tp06Tmo3ScBm4WDvgPYO\nLx1dvfz8p2+haSJPPvEUo8PDGA0GlrfW0ExGnB43NocTTRM4TKWZODpBLpfl29/4Lj/4wQ+48v41\nNrf3mF1cxeMLkc1liB8eMHHiONWazJ2b0zQrMtlUBlSdfCZLNpVl/t4su1s7lPJFavEEJpuAu8ND\n9EgPDsmK2ySR34jxYG0ZSTbzxMknGBjt5u0r0/QEwjz9xBPcn5lhaHiIQqFMYi/O/sYOv/XZT7F0\n7x5PnDxDrVDl9sIG/vZBTveOMj31JrJBZqSjh0zygA1PGYxmzHY3if09Vu7OsbWxS40C3eMDPHXu\nFKreYGxihI7+IAsbS1SoMtI3wBMXz6PkDlmZW+TU5DF2M1vEDtb55K99mPmF+4geOyW1DmaBrq4O\nPG1uHA4HNkXApOnkhQaaojJ4fIRrl2+T2dhFksEsSPz2V36Xn732Js9eukhXuJWlpW32kwcMjR6h\nXtcY6G7HpOuMD43w+LnHSO7tcebkJL0DAxwcpogdJHns/EU+9+nPMD19k+72Lo6Nj/PZz3yKplLn\n1OQkU1M32duP42yNEmhpYXVnFxWBjvZOSrkCJsFApVBHNxgo5KsYTQYCfg+Vch1dF6jVajSbder1\nGvl8nobcwOO1IxhEajWZcrmJ2SxRqcgIgo7cUDAZReRGE6MoYhAM1Bp1ZE2lq6eL/UQao1nEF/DR\nqNWwWGw0mzJKU8UomVDVJg6HnXqjjC5ojyZQlQqKoqE0FaoVmeRhhlqlAQI0m01sDjObWyuE/T4s\nVhdyw4SsimCqUKur/OFX/+JXG2b2Mz96RRYcrCyu4/dbKBYLNGpVwqEWinIaq9lCJQ+hgA2D8ZH8\nymrXWFlbolEFl81PV08Aq0tjZ2cLi9mHzWnE6ZUoFqsE/G2Eg20MT3QwNDaBw2enb6SPM8cmsQh2\nlEyW7aUdUrEk1UqWz/32c/jCTSpKFYfHSl/XELlMkXqlga7maYn24XU4WV9Zp6u9jf/59/8dq9lP\nMOJjdztBQ1bIJA/49KdeYOHhLG0tLSxurWE0ezh//ATNcppmVUfRjQSDEWbur3Hj5jXK1RoNpcm9\nu8u0tbTgsVvp6IriDXkQDUasFiOJZJK2cBvp4iFt7X2kkxnMUpjtzTSNahldUGk2NZSmBroR0SAh\ny1VcLitHRnsxmyW0ZpOt9T1MBiM2q5fBoR6yWZlqtUYuf0hrm4+xYz1IlkeemEwqh9MRwOUIoKsi\nDruZdDaNoih4vRKjY2NkMhXu3d2mq7cNTSzQaCp4vX7WN7aw2+20tXbQkDXOnLvA7dvTDA12kEhu\n4aoYsUU8dE10spdbp14VcNk1WiNRdnfiGHQRm92F0aKzsrXIl770O4TDPra3V5DMJT7xG8dwu5r4\nvQIOewNdLmFEoFooYFBljo5GCfnsxGPrpJP7eKx22sNRZFXk6PA4PSEPbV4T3a0OuttDtAU9REM+\nWt0hhLKJcr5MM51nfyvGldff5fbVd9meX2Fm+jpT719m/u4ypcMaYkGhGQxg7hig68gYYyMjHDl6\nmvNPnCXS10trZze+iJWoWqXDoKPm80jxHeTDbZauPyS3uEps4Sa7hSXeeuc6YrbK00OdfP+ty7z6\nOx/j9//tJ/jZ6zcZt5d55SsvAy24ajUm9XmOvnCRqXfuEkkU+LVPvszf/ek/MRLWGb1g5XvfeMBA\n0EBvl52GoYm76sDX2cpOMsnCXppPf/QD3FhcZCVzyPHR49x4uMju9g4XJx+n7JBYfusaY6MDlPMq\nqUqN8bOjzBdq7FZ1zk74SO+XufHaNTptHgY+3INTs1K8uUbEEuL+wjYnTvRTN0vMb23R0+0j6Ipy\n5+oyL5x5nvOnh/nHf3qNf37rHp//+Ke4cWuOX07Pc+nDL3Hz1j1qvWOsNiokFQF5dx/R38Kx4X42\nV+fQVRc+TwftkVYK+QSleoqergihoIdsssjU7A3ypRLvvH2TYqnOYxef5/79JXZjCeSmSKvDy6nR\no0RcHm5cv4NaM5KIZRE0M6oqsLmzyPUbN8nmLSyuz1FW01itGtVKnaX5OF6PhNno4Y03f07UH8Rm\nNPHq//cP+Pv6sAY9tHcMcPr4KSxWjQfLWxQVjVDIh91i4OHMXTScZDJ5kodJnA4H169cQ5BMiGYL\niWSSTCZLa1uUZrNJLLaPw2nnyccv8J3vfIOPfPQldva2ePFDL3Ln3jSd3f08dvEiu1u71MpV3B4v\nmVIBTTSgG0WSqQyiVcIgmbC5nciayuNPPsYHP/wsdqPK6SODrC9ssbq9wVPPPcUv3r2B0SwQjoSp\n1xq0tkVpC4ZZXl7GYDJRrNTY30+wsbbDb3z6s/zsl2/jcXs52I2z8nCJbKHM9uYmmtFGwVZloKMd\nyeZkZGIUaWefO1enufzuNJ0D/aguid/76u9z88q71NN1Zh4scubSeVxhL/lCFrlQ59z4Wbw2F8tL\nD2nraid+mAeDwNnzR0lkDsnns3T3DjC7sMLswiIWi4Wf/OR11GKOc4+dR3XaCYWjvPOjX4DbTmNh\nn2I6jzkYYHZllUKjjFGwMju3gMvmpVFrshLfotTUibR30NbVQtTlw6YaWLu/iFpXeefmFOlcjst3\n76AoKn/xB39KVyTKO798g0w5z14iQblW5cbNm2gNmcR+nFNHj7Oy8JCx48eQm00SiQSy3EQUdKw2\nG81Gk0ajCQYRgwiqovxvy7VOuVx/tKuiK1itFgThUe9MoVDD43HhcDgRBAiFQkiSSKFQxeWyYbFY\nMBqNNBWFel2hqydKrV4jVyrg8jooFmt4vHYasoxokCgUylitVmxWC9VKDQEFh9MOuk6l+uiMX24o\niIJItVKnKWtYrVYq1QY2u0Sl1mBwqI+9rSTlkkKjWaXWrCFJBgRR4Q9+/y9/tWHmxt1vvJIqFVld\n3MFm8eH1+Hg4u47dYsUZdHL+5OO88dptBge6KZWypJN5WtttOOxeirkGFsmMz+cjEvVSzKm0tIbZ\n3N4iGPAjSSK7sTjxnSJ2n0a+mqBYzbK1tsv26jIGtcyRZ46ye3iI2W5HReHEsX4y6QRLSzFOnpzk\n3r37KFoTTQd/0Ec5X6W7vR27wYYgF7lwdpJgyEGlKrO5G8cbcOD32Vl9+ID2SJRSpYbgslIs5HGJ\nLkYHJjhxYozLU29T16xsbsYBC5Onz1Gp1JkYm+Da5ffo7+xgJ7aJquocO3aCWjXP+JExbPYAM/dm\nefOtO0yePMt+PE4qnaRYLGJ3+DCajIiiAYNgwe0xYzAYsNst+D0+7ty6TyFfxW130RbpQjRBJv1o\nGvbw4Q7nLkxy9uII8w9mKOVUVpdjRFvDKFqZ0aGTPLi/w4Olu+zFCnT2eJGsAsnDBM+98ATTt+fI\nF5PYXTrZQpxwq5uujkEKSYXZ+fuIJhm3x8adWwv0DQQ5fjJCMl9grKOb/E6cgMXF2JEe1g4OuHtv\nkf6Rfh6uxzHb7WiCxunJo1TzO3gsTcJOheGhEHMPb5I7TEC9SqkUx2UV8bsthIJuauU8Igq1cg1d\nUQmFWjnYieG2e+nqHUHUNJrVPEZBRtBlHs6vszK7yq3L09y7vcDczTm21paIrS9z0CgS6O9huL+P\nUyO9HDkyxgsnn2b0mbP0TAzh74zQ3dfOkaF+gpJIpbmLV6tiKRSpZzLE5u4zN3uLnRvT3P/h68ws\nzXP92rvEH9wn3GnijXfu8IGQkX/+u3/Pf/l/3ubzfW38xVcusqfnKF+b5UibjwsvX+Dtn97k9z7U\nxdkLvUzfWCLxMM7nvvQUb0ztoiLTF/Xy3o0FrGKTo0Me5uaLyHqNs+fGcVnaef36ZU6eeQzJ7uPd\nX0zx6x/+OFv5EndvLRCWDCjuKNsLOwx0Ouk90cW3/uFnXBgK09Z/hL/76U94+uwEQb+D5YU1jE0D\n3/7lW9TdTspCgY5whIfTD9EPc/zxn/4Wf/s/f4613YLd7OH+9BZ1WULLNPnkR17ma//9G7zxg7d5\nsJ8jXQWTyc0bb73Ld9+9ibsvirOjn9dX91E0nfbWHk4M9iE7Xbzz5lsYDBasxgC5bJnrV6/Q3hnl\nzPlxDvbT3Lw1TTJ1iMlp4czZSywv7WN3+B4157rt2F0S2/vzJNJZ3nzrJha7H0+7i4988hPMLT2g\ns7eLhdUdnB4/Ll8Ap9OAARmLwc/W1jqJeJqJ8QmCAReZdIa+gSGWDnbQrCYGj42wvxpnqLMTrSGw\nvr7Otelb9HUNMNw9QTq3S2fvAO6Ij5C/D6NBYGBwgCtXLuNyOMlVKtRqdSTJjGgQ2djYIhDw4/V6\nyOay7O9uE9/fY+HBA6x2O61tnWxtbIHJhKgq3J++T0d7B1a7jbJSx+5yoAk6f/mf/pLXX/8FolHE\n6/NSKBQ5fvwY+4sPaHOayR0c0D0ywdrmNrNzCxwbGaOkNrizMIPT7qS3s49bi/eYXVjn4pOXOH/m\nMTbXdyhWq1y/cRtZk+ns7UGWZRLZLCVVIVcsU8NEt6oSsjkZbhnAkm+yvLPKIVY244dY7XayB3G0\nShW7aOX6e/eoCU1uXp9BlAXcNoniQYNaqcY//+jHOIIhVg92aO3qY27pIdOz04i6iaXVNdbWdvmP\nf/DnRIMtLCwsUqnJPP/8s+T2D9l/sM2r3/oufUfH0RMFDhoN8pUiAVsIUTHQFokw83CdRkNhPxaj\nUi1zmMzT2RLh2bMXoVynN9RO0O4hmy8yNXOXzcMkqlHAZrTy9JNPYzFbKZeLnDl1mojXx0vPvsDM\nrTtUSmXqcpOv/tEfce3WLWR05mbuk0tncDrsWM0mmlqTUqWE0tRQFA2DKGCxmBFEEHQdSbLg8bgo\nl8s47I9aiL1eH/l8AV3VOHniBIqiU6vVqdVqGI1GQAPAbDajahqVSh2TCQQTyM0mRknEaBTw+lwU\nC0UUpUm1XMdutyCKIqBjt5sJBoMUSiUMBhEQ0DQNp8NFvlhCEiVEUaTZlBGNYBAFjCYBf9CLXFOo\nVmvUaipNWefIeBSl0eT3vvynv9owc/nK37ziCbWQysTxuCykUmkaZZWujiCbsV22VtYZ6u/jIBaj\n3qhjt9lxewxomgVVlhBElbl7G/gDTvZiO5QrMjabRCQQJuTvZGTsCEePD6Fqdfbj2zSbdTRZIujw\nceH4WTwtMufOHOHS4xNcvHSMt95/n0pDxO9s5d79+1jtNqxOE8VylVpDp7OlhXxaRhRlGqUabpeA\n0+0kkT5geSOJ02mhszNCNpFjbGKU/YNdHi4fkIrLfPiDL/Lq179HrpCjb6iD2eU4Dx8uYbUFqMkq\ntWqdej1DPLbPUPcRAq0hbk7NIlmsVMt5MgcpvvvDq7SEHCRSGlffn0WymhkbP0oidQA8amusVKsk\n4imq9QJys0Z3Vxf37s3T1tpOOp3FLLnY2t6if6CdVGaHclnFGxApFrMszO6TiFcoFWXUZg3R0ECr\na9itAQq5As26RlunHafDRyYVZ+JoD7VGhZc+egnBYMTldCLLZWKxHeJ7Wayii9HxPjo7Aly5egWf\nL4RJahCOuKgmszjdrVy/tko+3cTjlQm1utE0hZY2D06PnWq1SrXYJLmXQhJUnJKIQzJgNGqYrXa8\ndi8Bt49kLEHAa8fn85BOpWjUVCyim2wmSyx+iKwplAs5errbUYQmN+fu4/Q7yZZLTM88IJ3TUVQL\nCFZCHX2ETo3gaQkxMXCEE6fO0D0xRtTrx+2RMARs5OJVdjM7ZA93kA90lh/Os7U0xfK1G6xO3yJi\nrPDmj9/gjZ9M8ScvDJHZyvHGe9OMeUS++qUP8sa9Fc73wB9//rNsVgo4UmU+NNBJrlZi+fYcE/IW\nH3jhDD/8+k2OR110D/Sxe1BiaFDEYrHSSGTYmkvyod88yspGifh+hg9cGOXWzj6FxCFnL44RO6xw\nY26Hx46OEfb3819/+B1O9PUTiPZy8/I0z790nmjvMLM3ZnErJY6fO83VdxfptgmcOdXNf3v1OqOj\nXQRGh7ibjFHL72AyGSgaRPJVJ/vJOnm1QCAS4khfD1en7uLSRca8Br4xt0mLx8q5oxFSiQQriTou\nl4WNtTzbxRRS04TF6QZrgPX1RVIZmcFLY/zWl77M61Nz+Lu6qdc01mIJqrkCm4klXvzQhymWG+R2\n16nkYnzi1z/K9P0HvPGLy6w9TCKKbn7tE88Rz20RbfNjdzkw2yxcmXqTrp4uuvrayBcS3L23wPj4\nESxmkdOnxrl9+yc8eWECG1ZuXltGVTVWNlYYHp3gynv38bgDvPziB5idWSUYcpJN1VG1KuFIC5Vs\niacvXeRjL3+Uhe1tdg4TOF12KsUyimYkkS5yWM5hNFeZurJIxNuCgplmvcz84hwjQ8O0RtpwuAOY\nJDMvvvgi09N3kYwSqtYEoFgs4PN4GeofoK+vn/7+Ib79T/+CxWSl1iiRTh5glUyPGs93dvg3X/o3\ntEWjrC49pFmvUy2V8bhcuGx2gj4fW2trdAeDFFIJEukks8vrxHb3aQm2Y9QF1jY3ee4DTzM7N8/1\nmzO4vTa8QS9yQ2V3Z5+Z+7NEWiM889xT1JQqroifVCGH7rDibg1x5uI52v0hdqt7LO9tkEwU+B/f\n/TYmn4P4dhGH2caJ8QkeLCyRzudQJQuTjz/Bx555hkZOZnNtj/34BpGeIap6HY/Nxfb2Ps88/Rij\nw/0EfS5U1UZ/VzetbS1cu3qD2zfuYDZLbO+uIxhMPHPpcaanZ7kydQfJaMbj9jK9vIJDkCiVK8yv\nb5Ipl0hmChSyeZqqTltXGN2k8ewTT3NieIRmoYRbtPPqN7/J9IM5bi89YHFnl5buNtSmQr3ewG6z\nkNjcYmdtHZ/bxfs3rvNgY4Wy3GA/dkC0NUrYH6TF6yfiD/Lw4SJGwyPhr8/npVQpgUFA0VQcLheg\nYjDoKEoTu8OJxWxmfHyCne1t2tpaqFTLoBtAF5BMIqurG6SSaRRVoVyuIss1+vq7UTWVXD77yDlo\nk7BYJeqNGkbJhGA0gAA2q41q5REAydUmNquVaqWKaBCp1es0ZYVquYpkNFNvNvH7A9TqtUdRlMGI\ny+WiWq1gtVmxOe2EW8Oks2lqhUdmbl3X0TQdr9+M0qzze1/+819tmFm4+uor2UKa63fzGCQbumik\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HsSwBdwsWX4i7kzPsx1JEuvvIFA/IVAqUaZBN5znUO4TcAJvLxdSDSUKhMKVCGclgIp1I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S0W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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure china_max_pool\n" + ] + }, + { + "data": { + "image/png": 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kusKjqpvVSGlU8Knz9jwCgNKraE8p9MSwLorI1qFyBcUyxZmZGAUWZigQ37Dm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vdSEcAjP3hISRjAp+fLZVfw+hohZE1NcSxcoX67Zj+9exdefA25DVpTZaiI0W10D3fedjsA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QWYDuLgmza64hL1xHfkns94xPormZYckbI+Pwz3G9U+kE/vw0Wy243ZyfWCyGBz9wHwAg\nHFpCXqpjvEK3/8F778ULL7BSKpFQYP0aJhK/axurdCbDYRy/wiqe28urMdMnbS8WuQcbyi3whri3\nmssb8KfXOVdbdhAhNNuMiFPsMTq2iI3tDEnffIDP95s/PosnnvgKAECjtGLvbqKJ4wtjsApSMTpN\nGdSbtFi3hugEkMKRV7iPXj3O0K8WGXzkQ3xXrUkHvXSjX1iUMLsrg6YWfhfPzKKiRtrUnKNuvHlf\nGwKL4wCAbdXV6OxneOf2A/u4LlYnFJu4X0anJnBe3nVSWJI/f9teqP08P16aGcNmOWuis4OY8nCO\nluc/lk5icwv1tz+SRPAsq1NdburswetXEfMwlKbSKqCWRss5aV1QVVe90qZgeHgYiST1iEkgEaNB\nB7NUA0ajUcSkeMQsHctTuRw0wjeTySSQEgQIUgWLfB4a4ZlRKpXISuK4RqdDIsF31AnbuwEapBOU\nB4fDgVFpS3HHbSwiOPrGK3A6uDc8nnk01xGxLi5m1KN7oAfuIuo878IiPNIJ/b8bq0jN6lgdq2N1\nrI7VsTreEeNtjdTMiCfS2tGIRjMTteamBtGx9SYAQBi07CqUNVgQFGDrnk1461XGKQ0mWpmtjTVY\nmGVyr6nYhH4pXxyb8KFAT+9cX05LfnxsGnPCCWC3u2HS04KdEl6UyspCeOaJ2uw9tANJaXgoeXaY\nHp+EV/JYmlo24rI0pYMk+N3asRHnPJKAFpxGNkareFBK28yGcpjL+S4OlQWQRGSFcADU1dRAoeXN\nKgqLoFPT0jWpiuEuIpozLYzEZa5dqFYJU6ZnFCcHeI+onx4GfFH0jTPWarCoEUvyvZvWMulw6MYC\nslKzl01r4XJTnHqEBbm+uhAeD9GLeMICKDjfLeulFNXiQP8QPc/KkrW4Pki+lLw8c34ph7he+qQA\nWBIuC71ei1npr1UiPAwlrkrklzgHcdMCUuKhTEnCqdVWgFSCzzp/Y2K5dxpMBfz98NUF7N1JGRrz\nT0OR5B/4pHzTVehcab6ZiAMFJSzhzBo5JwqzFqEQPZXmCjVOdPH7gy30gIYL70ORkvkKR4ZCqM/T\nuzbfcxCw87kLBDFQmOaw817yV+TGB/Dx+/hZK81H9x8oRaaf5bi7q9qBMc5xRwsTcv2jk9jSwWRK\nzHVj53optxVOnvs/uRuY4PMdaK6C9/UnAQC3dBBFyF/rwl3twhDbN4IHbiZ6sDREGb1/10YkF4kW\n/vX734u8j7kTn7t5PfQm6bX1UeYzqLRZZNfTy7fUlKKykJ54m5S9fv6fBrDXTC/9yLN/gHs9Zbem\nmh7c4uAgVE1EAxvdpagq5xxYA0Qv1n3xfvzhh0zSX+y6hpEyokZGL5/v2deegKqEv+morcDRP9F7\n16i5LgM9V/HsUXrWw8EIzh4hKlO4rRY+6Y20KBwrTU2bMD7JebvSPYr3vocI1u9/z/wlhUEPjVKo\nIyxlqHCTu0SlkqTzpSCOvs6y+M9+5mEMCV/T9s1E1V49/ApayyUfLZZE/yjlZYP0yUqko/jA+4ns\nGs1mrJNGn08++RQAwBtYQuo6914oEF7x2PUFFqilWaqQ2UKp1+Opp7juH3vo07h8iXl+KqFrGB8f\nhVZ6apWWl6C/h7kZRpK440zXdVS3EgWeDXiQkGTtWUFhp0cyqC2jzpxPhVEqZbo9VznXQ90DaN9K\ntO7ImQvo7GUe44cfYN7XxQvn4BYG7T17t+NlKcRobGjAa0eIwjW3MG8qvBSAU8rj84jBKGzbkTnK\n4u69u9DWzLmaX/DjTy8y9yzk5zPbjVVwCkoZ9HthLBAk5k7SGqhmTMhpqYcUmhROnmb5s2+AqGOR\nUYsDW5k0Xeiw4yMfIBJx/PAJAMC5YAI1Qjnyns27kRX043jXKbhLmFN4oXccAKBTGPGKNEBdt2Ej\nyssEyZhnLpMiBygkaTeVSkCl4uf2NsrQ1e4LUKuEqdlZgqwk3SzzKwV8ARgkR6uwwAGolnvoUSd7\nvX6E/HIW2g0QAGmFD0yhUCAvTcVy6QwUgr6rNLkV/Z4WlvtkIgMV+N3I6HWoFdTrlgKNrZD/ZAAA\nIABJREFUzO8hHDnM6ACQg1FKxbdvI5p36tSpFXbjdDaDXOr/Lv/3bW3UtLTzcB0c6UU6zsltay9G\nJEqjZHScB0dlQTVamwklnx44i00bGF7pHSB8Oj6dgELJw0sbysImnWIrKi0YEyrzFjcn2usfBqTL\n94YOF6akaV1NDQ+BogIHVBkqQYvWgrRdkp+CVDZabRplJUyo6p24gGlRmLeu4Qb3R2axrZ7wW8Tr\nR1SIAq/N8JA+cNN6FAmx2e9fu4hAjIrX280NatLZMTFMBZHyp9C0VhJSlTGo1dxMm9fx8J71jMNc\nw2e5cv7iCtGgSxLxfvTCKdgsFMDKmnLMzEs3524aIt64EmZJmi50FyEWEh4WlSQU54GKMh5iI5Nh\ntG/mQavWUfE5bUW43k24+/JMD/QG6UItmzIenUNQKtRqFHoYHMIrBCWURs6rMsHDqf/qJCrK+O93\n7d6PF15hUzi7JMi5rGVIpLlWSb0BRoWQ4y1xXlu3liMtVOHhZBwK6fitN9HoWYpFgSTn3WwyISTk\nboVyiM75Ushq+PzZQAxjkuz3vIfrU1MfRDJCuPvuj9+J+CINkVpbIZ79AYkXt95Pwrzs/CAaq6mE\nfUcW4dzG95p56jcAAHfHJswNU7bLisw42TcOANi7jcr0aucQNuxjeObsT76PrR//KADg1d9RCb/7\nU5vQfYTKpO2eu/DWJb7je9fREOi7tIDWBirb653nsLGJsn/uRR74Bz/2d3jlJFsTHLyzAINXaPh2\n3LcNbzxPErTq95Jn543L52BtZyLztzuvovHTXwUA/GKCh2jFR+7B5XOsPKmuceLCCR702zYSoi8p\nqcHSJOetcE05jj7F63fs4IE2c0mHv32EFTPKwjT63+A+q2ji+0/9+VnUC/FlylqOgJf7We/mul32\nBaFQcC6bdq2Fr4Ly0jN0HYkoZSyX5/z88NEnsW4N1yUWjyKR5toapKW4wayBRoz8n/38J7j1EENp\nTjvDJf1DXbCUMXz16rlX8fn3c45eeIltFvxRPzY1SLfpl99CaJHP6pMOydYiFSakmjCVM6K8hPu0\nUIocnM4SXJbwlMGmQ1ER93ZZaRU6O7l2cUl+vePWPejr5Vz95Cc/QUcHD0WLlUZZNBzALQdIAvrG\nsZPYso3PtTjHJNpAPAbFFNel1LUZKi31T3ER97u5woK2bdzvQ9cmcWOCzpvVIt6EOot4XDo8O1TY\n0cHE9+deoizoNAbMSJXRhdNZNK/heudzCWzbRb0v9RDQ6ssxIHtAq1UhmqABkZSQT5m7GP/49e8D\nAG5/724c2E3DcGmJTu/QyDVEYjRkcrECtNVy3lIa6rOB8DwWFqWyMJ2DayMNzx3NfKaAx4PSejo5\ne6tacGleyEeVlJsf/PJ5vHsP99ADRXoUpKhzKoqq8cQLNLILGmm4WpUZBL1CqOdzY2iI86aQiqSC\nsip87fMkyew8dw46aaTZP8C1LHGXwTNBnepXRaEUBzfg4zlTWV6Fe+9hA9nv/uA7yEuwxmkTHrVS\nN+ZEp0eTIWTECM7JM6tygFrJMyGSjMOkpwwmk0mkxKhRazjvZosZS8HlpGQT4hGePxo1jZd4NoFk\njN/pDXqMSYPXb3+bLT30Gs1KE8y8UokCu5QF/zdjNfy0OlbH6lgdq2N1rI53xHhbIzU3xum1GHQa\nVErDMLNFC+8CLV1TnmEUq96IS+ekGZ8rj67r9FIdFnolo74UVFlanHWWHDZupFV95kwnVGp63MeO\n0TNNpxRIR2mRvvnyOdz34N0AgMvdTE5DzojJGXrhbQUlWJhhkuQyu+X05Ai0FnpWWZ0OASltPZPg\n79XWGFTDUrKtyGNDB61TjZPeZt+pAWwErfq2xpoVnhT/MkdLahEP3kEP0bc4jTnhLEikMitW78S4\nJOrqrHC46KWua3GgtZzW+i+fotVf4NIhHqOFrrBYoNZxvta2ERI9dXEECi1DJwalEo5GomEj1+gt\nerxqVDQQKWpdX4exYXr0DQ18/1wiDXWelrpRn4NFaNsV0heyuqoV84v0pvoCfmh8tMHV0Sh2Ca13\nl0D4a9ZWw2ilB3Hx6iXYTZw3i5HPHE8FkBQPofdcF3bu5xwiuDxvFiwKxGtKpeAxcr7tAmWHQnG4\nivh+8wuTMAqqVOrkfUbGBzAhZaWJmRSklyCKBD5VRYYwHeBc1ldFce0YvbnWXTa4JHG9vIA/euO5\nQWy9m9D+y68n8OF13KYv+vgsn7Ja8GKKSMpHbWGMVvH32yUU2RlSYUOQSJXy4C6oNFxj7S56zpli\nCwbXszy7LadH5aeZRAkHEyMX97wbKCKc7jlQjw0lhKaT93HOR/U2+KoZEhuwNOGik4nI/nwNHp8j\nSvdxPxfxucEIPrmb633lP/tgMzMUlAowDJGt6YBbS3n3T0Rg0lGeKpr4rhUFZoyOcw7NaQPatjCJ\n8rGvMYn1c//xABYmmARrXjJDX8hrCVUUDh06BIWNa6xMJvHw3nsAAP96guiYOjiHvIQWEktTUIUZ\ngvN54uiXctvdexnWO3jTLlwXdKO9rR0FwuZ60x6G0tau24Kjh1kyvW3rNswtEGHJCvOuRq/Dhz70\nEQDAK0dexIVLLHVvrKTH39czjKefYfn+unVr8OZlrmEyybn8h69+Gd//9+9wXtyFGBZOneoahmlq\nahtQXbt8rT7s3cOw3h2HDiIaJs3+ux/8FADg5ZffwGc/w89PPvlnnDzB9XAJinw9HMGk8N/Ut7Xg\n3CWGho2yr1QA1kpS8utHTsIoLLJtGv6+tDAOqWJGUmGGw0EZ8ni5MBtbWhCSZoprWtajTNiRhwb5\n+9Z2PRJxoj/rm1ugMxPtmp2dhNtJXXr6HJF2JVKwWoiAqbUKwgkA1MKBcvzEG9i1jyHQV14+g3LR\nc9XVvGcmo0cswvfas2Mdkh4WNxgVRFq2lZrgl/Plxmg3okGeLzOL/M6pM+LRn/4OAJC+/S64S/kO\nf3M3WY6P9J1FXSnR8b/59vewpo3ydL1nHJv27eO8F/Nau8qL8exRtjM5eeQIbFKW37iBKHpXVxd+\n9asnAAA7dmzA7CTnc1waQ95x9wGcFOXjmVuAu4zPEk1SN7hcbrz4ItEw5NVIS/uDuTmeE5/62EN4\n7LHHAAAJZRIqCQnpVPwvkENGcikUihyWe/gmMhnohEsnFltuk5BdKTmPhRNQKajHrgmrtslkgcUi\nzT+XEvBJWsdyE85sDsgI7qJWquH3B/B/M97WPDVf++qaPADU165FXskXjqSWMHmN8JtOz41WWVGD\n7gkqkLTCidwUNwtEmVa3bIRnhofn9vZq9PYQ8gt4sysbQCGx8vnQAl5+mobKvs1rEJGO3A4XFVfT\nllbEU1zcoYs9uFn4ZXRy+IdzS8jkpFupyYgxD5/bLl2jF/J+RCT04bYbkYvxvksZaoj6lnLoszxQ\nh8cWMB8mvKdTUyCcugJodLy+0+VEPC18LMosxm7wHtsPspLgypEzaGzi4Xhj7DrCMc6LsYBK8saN\nQTjc/E3cb0cOVBwtVdwokYQXS1mp2lrSQm3jgXVMqiIcuTxuvp338s4v4cKFcQDAPe/lIXD5Qh/y\nUhUWD8fgFiWz6OVzRJIBtFbyWZJmFWolLHh5fBSH1tPwPH5KYHV1EuvWMeQQ8i4hJXkMBnc1AGDs\n+jW0Vkuvm1gWTqngGooTTo9OpFBRyfsX6FS4Lt2CJ8cpFw6rGxoNN2tprRFTkpOiUnJOCqx6GMTo\nc2iBsRkaErvrWbVQ4m7B9SHmnnxovQk/OsL1/MTOCvysi4fHF7bTaLoUBNqlK3tXTIGNRdLKYpbz\nssFhQ0pygXTzMwjZpVN4lIrfaNNCM0jFGKnZAn03w7GZm6lML5yZQpmEAgevDcElfCBvHGE37fYd\n78HVIe6X1s274esXw3EnD8kTfz6LBpHrM9fOY4eQlV2PRqAKc96VWqm8WRhGTM+QTWVlBWIBvqtT\nxeczOW/D4DUe3jmtAXVl3CfX5cAqqSjE7a3MNZrIRHDuMtd7714eUteuTCIr3ePVST1MEq+/1Mn7\nG1IazMa4nz61rQWacV5/qojPmSyy4NxVOjwOqxkz/QypRCwmBEWJ6rRizK+rRy7H348MLcAzx/DI\nNqk0S0XiiMf4LPMLPvgE8i+t5Lo21pZALzKk0asQl95PYxKitBY6kU3xoLeZdSgs5t71CjFdNqRB\nLsBnadpUi18++lMAQHkj57/MXYKiEsr43p07sDDLnJy0L4beMR5aP36UB6I37IdBDiyD2YSU0ODX\n17O67LMPfQwXuhjG7unuQyjGd/3a174IAIiOB/BSFw8npCNIR3mOrG3mfl3fUI1TVxlivHSmF8VO\nymal9D9DXolQnAdyMJrArbcdBAA88cTTfJcGLXZ1MDfy+sAQSitpZHf3nwEyPAizeYaZ4qEQdCrO\n6/7b7sPXv87wxQ7J2Sly2XH6NI22pg1utK7hfE2KQVBQmkOthI+ivoWVip/hPjqce7e1IRXnHnzq\nL8cQkB56TgfXYtvOTagqFg6Va1fRLtxb79/APZI0GvFmD/fTH595C0Vl1GOjnmnUlfF37XsoQ51n\nezE4SBmMR6LQSvfy2ibu1+CiD2vr+N3oQC9UOZ47I8PjfP70Eta20Ng8c+YCHNIWIxrnHkgmk1Ar\nhHzWoEMy/l8dvQFgYmICBgm5pxQJ5JajhVJdlc3kkJIv8+kUtNIaQaHMw2BiKExtkLBtLoU8xQrZ\nbBZOSSWwST/ChQUv5ua4R4xGC9rbqZ8uXmLOklqtRlyeO5fLIS0hsHQ6v8pTszpWx+pYHatjdayO\nd/54WyM1//qttjwAuB12zEcl+35uBjojvYKaOoafes8PwVFG61md3g6LhRZ+fzezzNd2bAQU9OyG\nLnpRIJngLmcJRhcEijQTnhwbnUVtBSFep8W00nX3ykV6e5W1JbjpFlrVyUwOZcLDoszSuEwaclAK\n9XS0IImR6/SgGgvoIVmLrYgu8VkCQQ/sReLZCBujf0mNGaFSdzsccBTSwhYWbPRc7oZZqpxsijxM\nDqJRGm0cpeXVAIBgiJa63+fByTP0tkpcNrhtnC+lNBy73PkWmjcztHGtZwnd5wm9f+lvGLooqqpG\nbw9RK1OZCYOD/Pd4iBZ7uaoMNqnsmZwOYH6B6IVez/e3WExY9BOpUap0SGnomc5PEWmrayhFk5tr\ncUuNCxbhjEmoHDgqTJuhNL2KscgUioRm2+UyQ28iQuLSCXxp1sEttOp5hRa1wjo9H+E9nzx5CsgK\n6/PaWvRNc44TkjycSefR0iL06SYfJJKEzHIbBUcBBoVttaWiEukFymM0y7X4yoYCnPHw+jsLfOjP\nc17XauIIqbn2lik2rFRWdCA/zfdLVzVi6RK9TMdtTPjtf+Uy6m9ldVHw1H9Cv4csvpefYRXM1vvv\nwvN/pmzvuvUA3vuTHwMAPvx1tml48X/+L9z7t2Teff0Xf8Qdf8Vr/fJlVvE889CX8aXfkCfmob/6\nMJ78KX934NN/DQD4/te+iw//C/le/vUz/4z/+MWPAAD/6+Gv4Ie//zkA4JF/pbf89X/7R/zlp0QH\nyq0qDM0RgYlFpVNyRwM0Sa6BzWnA1By94+g898tNe2+BIymh1/k+2KXNwsAMUYDttl3o7CWyanE5\n4ZJuyvOSLHr48BCq11IfHNzlhjvOJM/RKBFGc1yJkJme89TYCG5IY8OsqRTHXyeapIKgT6oc3v/+\n9wMAFNDi8CvsFu12c48rMvoV9l+fL4CqSuocjUHaESiBO/bSex9b6EE+xb25zJ9kNdbhm//MNg/7\n9rYhmaBsdexjYcNYXz9KqyhPb5wcg9HG5/7Qgw8AAPwTw8ibea8zr5zF/fcQWRsaGkI4xb/92S/Y\n1HRucQFxSXS22ywwGKSxq3jkqnwaZZLkv+idR1qS5GuriZCVu/SYl73RsqYeJ45QRtvbiTi8cOwl\nOKTTfVNdA86cpPedE9p8tQEocFDf+Bbnkc3x/io1ka7CYi00goLWN1WhW9BzV1HxStLqlp1EgQ1I\nwiNs3zduhFfCconocnJsOTZtrgYALASCWC+Jvm++yWvqtGHU1Ep6wFgaew5yPVpqGWK9dLEbiQBl\nwLuYwlxE2MoFkairacKZE6xqa9+4AdOD1Kn//GWu5Zf//etIS2PkcW8cFcJxdeudB2EAdZqrnCHa\n554/DKNdqubSMWQJBiGj4VwshQ1olaKUod5OzImempGO5xW1xViUBPNEIgWThHe0Uu23Zs1ahMPS\nOmcpiuoqzoXJxOtb7XZ0CdJ++ep55KTdikYiCal4Ankl50Kn0iCZkOaZ+TwMZupitZb/Hk3GoM/9\nV3uFZUsjJ+031HoTliRxXQMVbBbuo2CY65bJZKAWxD2dTa/sraVQYhWpWR2rY3WsjtWxOlbHO3+8\nrZGajz+0IQ8Apa40ZnzCyllvhUqSal15xmFnZiLYsYEliSfe6kEwQItvy15ahlZHGiND9Fps+lLo\nxFsY7etFx01k0PQlJfdiKQUkaSg++2QfRqeJKhSXMiHWG/DCLiWgtY3FsAv6YUvTu/BiEe++g6W3\nfX1eaLTSW6iav//9n57GB95Hz+v5o0egkyaRzQ1EHsL+OCqqmETqHx3FtE9YcG2M8+7cuB4+QQ+M\nRjMGhQcmkQihooQWvs3K9x7yBpAWb9BisqKqmp7Zr3/JZMVNG1tR3cj7Dl2fhgb0TNyS1JaLxfBm\nDz2wQ1vWIEZnEDVOJpT+9pd/wSNf+SwA4PFf/xjzS7yXTiz5SnclvBF6DemsAkgRofr0PUQecik/\nPAv0OrQL8+iopQeTcjgQMTOP5BdPkbV12BNCeSW/W7emBGWlEksWvhKdxoxUkDa8Z8qLYkmR7xcP\nT1tbtTIXRosTvgCfyyLsmtFQCmYzvYoN69cgEGCuTW55/+hzUAuvRzQUhD1DdMBeQQ/0zkACqjom\nuaquvgZ9B+PHk28NwLWOsnn2HEuuDzxwN/74s18CAG76m6/j779JpOX9DzOx88ePP4dHHmaC+o9/\ndRhNH6eMek4z72HHgfW4fJHv1VhuhJ6vAmsV0alYMoxiqRGY8IaRk88jVsp9R1yNumrG5UNQ4+pl\nopDr3s0chRM/fw7r9vOZp7sG0StNUVV6I0rB+R5dIFLiLq5AhXD5xFQhjAqCZZP8rHQyB+j4t/d+\n9P2YmqCXm9DTs3UG1fD6KQOVDTZcvkxPv1agyYzdCmSJrijVCWQq+NxxyddotjjQfZr/rjctImzk\nfnRKHo4m4oRG9s7wtQGMhjhZeZ0B58/zvZVC4WAy2LCxjblckYgPKmH8LZW933nhHLJCQG42aeGT\nvmuLglBGQnGsaSF6c3BfPVrWcT2ySe6xK1f7MTPJdRsevY6aOmH+Fne9bftGvPgC+Vo+/8N/wOxb\nRAcaW4kojA30o6GUumdxLgh9IZHFR771H+iR/lbLfXXUKj2yOXrZSuSgUHBPPngvk8bzuRSu3yCS\n0VheipSU8W7cTLk9e6EXVqF76Om8gL23MCk2nOD6v3WqEzEfdWoikUA0IfpVmM+dZgu0wkw7PTWF\nRJLPUlAgfDP5LDJp7rftOzfg0kUmKpeUVkGhkMRrQR9y+QDuuIl5et6QGr/5Ldmsq2uY4/fwwx9H\nLMNcrkgsiolhohpXLlNu8xoVdu/ge6nUUUhrOyQi1O3DQxmMXePz33TLJkDySGbnhTKkohzXR4kw\nzoyP4Rbpy9YnjMfz8x48cAuLNwYmFrB/B/Xj6aMvY9HI975NuIoUhkIcf4s5Zg/cfy8uXGAO2eET\nRA03tW9Hm+jBIqcVP/guGayHRscBAC6XEzlJZMnltPjgBz8CAHjqWc5JMBTDLTtYqu/1BXBF+IcU\n6uWGz/qV/CEos4inKS9aleTOQIW8cM+oFGrkhRpDpdEgKbIVlTwdnVqF5UxhrVaPnPwuleW/myxm\nZFJyrZwSH36QyeyXJMftxtAYFhYW5FnyKJAcpvnZwDu3oeW/f6s9DwBauwWzN6gsVXol6tfx8J66\nRuE/droLa6oo4IVOQK+TDs+lhPyuDvRjxiPkfFsPwG7g4hQWuODx8aCoaiJMFwr7EfBRmEemvJgY\npfKMCFlbPhEH5CCM+LMwiLLYsZWKJ2/yoraSEG4snYZVclezKoZhnvn5q6hvZKb77vZyKDL8fnKG\nQtV3eQDXpnh/o0OL224iNX5onps+Fo6huIzKcjw9Dr1A38pADhVuMbwkVOesNKxAudGgEimVHDSL\nvGdZlR1paXo3NjyC+VnOxc593LTzi0FsqSNnxOnes2hv52ZdWKSgTngiSEjDs7JqN/qHeGivEcr1\npoYW9AxwU432D2NBOta+byfhdrVyAX1pOXAHJ2CXlgSHtjTi5SEqppSOSry4pBKeeRqe62p1uD5O\nJWaRBO01hXXIl1Bb9Z4bhVmS1ZyS3Dw4N4CsVJLllSoEhUjPZuAhWOy2AkoerhajDXZp6paV5Gpd\nmQX5nHQwjuahF54adSHv7w4ZsJSRpOsCNSq11QCA49dPobyKxnc0zA1c07QRY6IQOxp24OgIDcdY\nHcMJitEMEjbCzrs2vRfzI6ycM4ChmXKDEhesnJeux36PB7/8GQDA8Dg7JFt1LuSkgd2OTXtxuJef\nK8opN4//03ew8zYaSsfe6ETHdir8qctcv/vv/TB6z7KZorrYjelhHpgKtQKl5bK2e3k4Hv3TV2C3\nkHPmXXe3o+cGr3H1MveN3x9Bx2YevpfO9KNjC9ejVEGjUL3JikIJQRrGMpie5OFy9Trn5F0bb8X+\n28g78lL361hXz/tPeZnkGkp58PiPeUi0xQy4aQf31tw6bryJzlGsERK3Z946ipkQD+V0PAGFGPGH\nbmG49beP/2ZFMRcXOtHeQSP13DnOq9FigU6aovoDAcxIaECrpWHrcrlgkiaV6XgWmRz1jHK5K3Ey\nh3qpFrx7681wbeZ62ISQJeKPwFHMf5+d74JX2sC0NHAPajJRDPXxoH79eD9meSvkc34kgjQgbtzg\nQZ1ILqFNOnebDUYM9DHkEJFwbBYalLu5X7Zu24E5qQxsXc+k7+eefQWZLN/r5u1bYHLxwNEruV+H\nfPMoK6ZR9rtf/AZxIc6EhPJUKhXcon89MwuAQpp+yu/TmRQKnWK05DJwu6nT7777TowM8h1dwhEV\nWfKj2sV/P3tuEPMBytbnP/8wAODFF57Feiki0BoNeOElhlZNZpdcX4HWNUwZGB4ehjcoXa530HlM\nxcx47s/kEjLb9KiWQgmzWRr7ussQ8FFnjo57oCvkvFgkrJlJRHFPB3Xa/Nw0rsWX+aC6oTdTxsxO\nrs9nPv5XePop7q3F+TjuvIUJ1DMzXDdzeQkcKl5/eOIaXhMyx8RyMnk6gSIXndZcXgG1yvT/+r3N\nZkNM1jiZysLioJ6qruAenRgfRSTMtVIoNcggIaumXFkfo1EqDBMJZNL8W61Oh6wQNyrECcikEkhJ\nIrNOo4VSDKOE6FljgQUQ0liTzo7aWhr8a5qYtH21qx9XrjC9Qa1RQCOpBAFvfDX8tDpWx+pYHatj\ndayOd/54WyM1X/nipjwATPgXcNe9hIWv9/QgvkRLulhPry9rncDFLnpYO+rL0S8ltDklDb5Cpx1K\nC70efzgNe57Wra2sCNEEvX+1RloqtNXh+iS9QI3RAFWO7lBwhh5kmasCoTgh5GhED72aEK3dyHBI\nWpNClVDAnzzZiWqhfdc4aTEPvHYKCgO9yKVgErfsJyz5q2eFOnt7JU6cJipz/9334so5eqy3HWRo\nYMh/Dck5WswN69bh1deYGNjeVo8KFz2TlJrWs8VcAM8kLfi0MoeFRf5ucZrv3Lq+HMO9DB2sWdsI\njU44ZbR81mDKi6RAxIveLEZH+d4b2ugVeRbSSC4RyfD5xgC57zK1dyyqgORPw+l2wS8lsPXimRsd\nWaRT/INiWym6hAE6lUghb6HcVlXQG4xG47gurKIbNzVAb6W3EPLRa7M7bTDk+NyL4UWslTYHv/3j\nMZnLXcg4uZajk4PQR7leXd30FMqrNVgnXurk+CiKlUQSNtYRwbs4P4iqjVxLZTSByUmiSnV2QWw0\nDkTnmJw6nlOhyELPzKq3ISsIT9YmrKF5KwyS7N41OQlVB+Fi+4vCJXLobvzldXJNfOUrn8E3/o2e\n54e+zkTex/7pcfzjv/8TAOB7D38FB28lj0z4zB84J+vuwqBwXWx5710YPcfr7thDFGNiIoycit6q\ndzqPoIG+T2WI+0atNiEe4fyOhmYwMkQvvrqoCrffw7BYwz4mNd//gS1oLqHneOuBjdA6eK2NbQxf\nnblwBjEt91535zW0lRP9qGrgvBUUOOETbpPxcS2mZymvOxqqAQBr6kyotTPkZKlSwGCj5xuf4TXP\nzg5iRlij8/3D2FRIpGOwlXv8ypkelFjp8Z89dgp5G2UvnklheoLvpdPyb0vdhcgIdJ4DoMxxvRYX\nuV/SmRwiEUHrdDo0CzX/yAgRSFexDiolddPtt96Eiz2k+791J1Gt51//C5Sij4PDi/jMZ8k4/OvT\n3Pv33rELu9oYepiZjqCwiO/yvUf+U+asBVEJnbhNgFXYtJciMRx58zQAwCPtYDq2tOHSee4nnSaH\ne+5i+MjnIxqZzWlw+A1SEBSXuDA5zfLwD7+LDT+XtA4cfo5cQU2N9bjYS8T1ofsYOv7Ty4ehlLCm\nQqFAUrzz5fmpb2iAWdbKVWRAqSBQJ9/iPVPZHCbHOa8K5FYa55pMRhy8mQnCkxI6nvNM4QsfZan5\nN/71P1FeTZ2wVlixh8dHEFySJpAKGwIB0WNm6ha9wYRgQNIASh3Qmrj3vH6RtU078dprZP5NpJKw\nWojG7dlF9D28FMVAN9FOs9mMKWkKWmDj3wVCabz/3WypYXc58J8//QUAQFlox61biXrvbidS9Jsn\nnoPNTXR47doSVDoZUu+9egMAcGVgbCVUqNQr0d3Ls0AJ6lSLSYsqiUoMDnLNAGBp3k5GAAAgAElE\nQVQpwj1gtZoRjYq+yWdR5Kae06p5zaVwCNGwNAkGkIK0hxA9bdTpkYhmZC5JFQIAapUGOeEHyiYo\nw2q1AmnwO61SsdLyQCnQpEqvWXk+i9ECp325VQXPgWAgurLfVColMhl+DgX/z4nCb2vyvbF5wt7R\nJStOH+emqnQ1w1HEDWQwcXKmwnEcPESI+fln+5EOc9KLBaIPqn2ISjmLTa+Ho1jizjoVDEIfHQ9y\nA6X9auxsoWLpn7uBmhpuxt6YPNPoBRRYqRhNahNK5ff903y+nCYCq3Aq6FwuKNLUQjPXxXhYsxWh\nKO9fsMGI58+wyqOlhvDg4vUU3nULaecng3NoP8BD4GIn/66hrgTHZijocXUOfd1UzPu3bURUYEer\nEMb5Fr0Ix/hdgdsKO+UTo1I9cPzIEkwuvlgSNqi0PPQDGR544UASaiNFaKCrCzUVVOKeOc6VQe2C\nq5wGWiLmgVo6igeD0nXYXbLCi6G1GrCwyPDLzCSvXxDQwyi9n/rmJzEroZ4Cuwu1wimj10l+Tlkh\nQhIq1Ocy0IixZZKN47KWok/6q+hVaviEh6Z5UzUAIGZ3441XWH1033vejVNHSKJWJ/Tlk6ODqCjh\npiwqrIdGcjKmFDRmtU4LRvqpzKo0Cjji0vVYz/Cb3qpEXg5Ud9yPqRAPl6Zd78LAmzRQHBKLPH+j\nD02VNJYUFhWKZ6ictLWEna+e+gusWc7l6T90wnOVcHzkGA+p+Ow4Lv6UfX2ay9WY7Dsqz01DIXf9\nDdTuYf7U0sU34RYIfPI65SZk0CMoShTmQiSl025CDPje7mGYpS+PSW+CIsO50GoywNKy4UrFl0yk\ncWOE+UeD67wwjPDQvCAdyd3bmwBRZuXqQkQ13JuT/fyNamMJFEbuXZX6BvLCIXL0BeZ9dTx8H/SN\nNBDHrl3FcmFETHqC6Uu1aJznM12vrcWNPGWz7xjXPxbKYVKqWdpv2ge1EDSePNmJhz5Cw+yllygX\n9iInevoG5VnSKLRxvfRG4QxKqaGUfItUOgfPLA/S5RwCvdYGlYLv55v2wZ6UdilddEzWFVfiz0do\nwFTV1OJUD52n//gKafFjnmG8+BuGJpqbWzBwifukejP30IYNeviWKI9VjlIcfZ2GzNCYBzXV1BNT\nUyILzkJ8+pM0mn7z6z+stD9YXGDYU60x4WN/zdy+wb5uDF7jcz/xEkNtyAMOB/VIWVUlKuooD64W\nhlLXTY9CI6HjU6c6ceAmGk2nzjIUaHEaoJOTMhkHzpw6LfNGWTKarLAXiIWmyqO0ko7gjaEbCISp\nB/wBPlN92Qb8+elnAQCBQAB79omD10ed6wn7EZMKunwuiD0HSIR3VHp+bd64eaV6qKfXC60wyrkc\nlMtUKrVSeRONRuGw8VkuSA5cKB6Fo4CGyJrGKuwQPqdxCdk1VtWthMwmr3bCIg7s/j17MTNBwsvj\nVygj23fVoEQIFK9fG8Xrz1EeGpv43XwggPvu5bqcOXsSSuEsiwuxajaVhsFAPboUi6+0NMiLIRFY\nCkMtuUyZVAY6HT+nhacoGoshLRVw+UQWOrOEkqTLdy6X+6/4jhbQLrdJWEpAJfkzKjG61GoVklLp\nlFYA+bRCvufPc8kUINVNe3bsRKmEGH/+2G8AAIlEcqVvWjqdXsm/+e/GavhpdayO1bE6VsfqWB3v\niPG2Dj89+r278wDw3NGTqK2kVa+FCX4/rcq0hl7L7YfWISocJyePz2NbGyG/813Msj60oRZxg1S+\nmN1Y7BkHANhL7NBKlU1aILuy0lIMDrMqoHltCUaG6Nnks4QsM4oYDA6iH7HFPKxuevrzEgYxWPJw\nWonenDk9jZskU/67PyDN9qFDOwDxVq5euICqZsKS41NEIZoq6xCWLtu33ncQI0Ll7pngc1j1WuQN\nfH+NyYYb4wx5NNbbkAxKArTAvoFQBM5KehgGgwFXuug11Emi1lDXAErrGJJIpJMwidVfXMS5TCb0\nOCdIkk6jx4yH3l5JCT1HjT6CVILzZrBZEYzQwzLbabEvzqbgC0vHcWcBMhlJ0pQWAxHvLJrXSVdm\nRwHCEUnGzkehlDbb0xI+a1lTCod02tUpTEiqea3ZGb6/w1iAVJprFEqHsThLJGDDRoZBQksG3HqI\nFRR/efJ5ZMHraiUU2NfVjXVNTEINxcJoauK8pYNcC7vNCY2Jz5SLJ1Fgojc3HZdkUYUO1U56s/OL\nC1iSpOOi4p240UUvNZHld2W1LiyFhcvHaEQi45d3oCdjLXAho6SHNHTRg63bGO7rOU2q9J7JCZQW\ncz8sZj3Yu4PPnQhyP+jtCsx1Cy+FS4/pHBPPy03SrsCfwKJwIX3yzvvxnT8xbNV9jcjoep0V0xJW\nLbcqcPUS0YuGqips38fE9e33fBIAcOsdHTBJmEZv1eC2YiJQkwnOW6RQs9Jt+ULnBdx+673yrJTh\nTdt24diJk/LexpVQT20J/bEdzjLUbCKKqStugn+RbmB/P+c0mV1EYoKozHg6AhPo0ZbUEFE4erEX\nJjNDG8ODQ1BIU1Kb2YFQSCq1pMljU2Mzevu5R6ZmJlFUTBkwaYjU2OwOXLhAnaJWq1AqDVZ3S5gi\nEfbCYuG6DUwsor+LSMLNwu5cWFu90iPE5xnDxo0MPeuFU2f0xhD645QBdcqH6wuci/1tRB702UWs\nrSVaenV4DBHpzH3k8GkoNbxvtSTXFthUMGgloX9wFrtk3eYWqGd0WgdmpeGjS2nB5DyRjKiC15yf\nmoS9kNfavLYO0Zggo3a+8/DoIDzT/E1zzVpMTo5zDWakEs1gQIlUUQI5eGYp+6EQ9cHmLdswOkK0\nMJkJYe166tHahkL0XeZ83PsgK4qeeuJVIEvdNnJjGqUV3Gd7dxOdOn++E64K6qSzJ8/g5kNMvr14\nkUiNSqlZSfqdnZ1DUpJulxGbRDIKu10IYxQZ7LuZ1avPP03244qaenziAbJe11cZ8dqLJ3jfSerk\n7Vs248Xn2IhVaVAhq0rIpVQodVUDAIIBooXlFW4cunUfACb1PvU0EcnldgLd/X3QC/dZXVU5ui4R\nnQ1I13q9SQ2DrLtGqUZAOpEvy3Uql0WhnGleXwhG6d6tkQbByWR8JayayeWQl2q+lBSU5HKKlSrP\ndC65wj6syimQSy538hY9rVRgxy6ebyePn0Y+yWssJwxn1TmYbZx3nUqF9Wu4xufOXpJnSSMnz5LP\nKbDMI5xKpFcThVfH6lgdq2N1rI7V8c4fb+ucmitXmANw193bEBJPwueNo0CYhP0z9DbDkQzG+unV\n1DUakNQJO6X0hgpoonAZxbMe9sIkHuvcVACFJZyimjp6JUp9BLW7eP3REQ/Gp+j9uiz8TXm9EbPC\ncVJkK0VCOCqs0sY+u2jFjCTPus05hMOMu2vo4ODJV49CHaMXrFJm4Q3TMyww0/o9fb4TZTX0cGKR\naUzOjwMAliBWcCIDTYzmtd1agrZW5p7U1jnhneWzKPxSKmk1IB6ida1Mp1DlpscbmqK3tOfmnbh8\nmnH94roSGCU+atQzNySRyENnJaJgM+qgMfP7RUnsrChWQi2oTCyxiKDkLaVS9HqUmjyam+gxX7l8\nFY3S6LK0aTkPxwFIO3vkcshlOG81NTUILtIzMxuJsEVCcSAjHCMqD/LCu1BqZ7KgyWBFLkMPpuf0\n1P9u7z2jJLvO69B9b93KOXRV5xympyfPYAaDQR4QiZmgQEqUSNmSlZ4tvqVny5KsJ9sKlJVFiaJo\nJpEUKTGIAQBJEAQGwCBMjj09nXN3VVenyjm+H/urgpbXepL/Ynz3n+7V1VV17jnfOeeL+4Mm5YGT\n45SRnsF+nHuNScG1agFu8frsClfFvkODiC7Tu7C0sYmi5HbYhIXYPRaCWqb3I5atwu+T3ADpBxUo\neJGSRLnV3SjWUsztOJBuRbvwTkwvcPyR9RQsst6rK6tQxEqsGvlds1euYKgvJHNhQSTKMRrbOb8v\nPTOOJ0/S+xHs9CC6SRm1KpyTyEwKDgutcGOpC4okh5YC4kHbCCMwzO/8zsXvYOQYcz/aBlhiPPvi\nJKoxIb+xeZsJgAoUZMQzZ7QIk7VmRk0abaaSRWSd/N2cp4znTcDiNe5Hf92MfIpjTUqOwIXzl6CI\n7VWuVJATHhTDruTABftQsXJcpnwGPhffbxzmhkpMKrhRZ9+dB/ccwK05ruF2guM/2LcHafH6zc+G\nsSUe1fb2PdgV6oaMJLfOzMxhdoaeUX/AjZqwIpckr+u1G6/j2N0sf795dQJOmYOk7HG1UEZCyvrL\npToGh7hG/aP0XqXWtxCQxo7LyQzOzy5zXMJQ++D9+/BEF8uwv/mtv0driDLaJd7MpYkarpakZBw9\nGL8gFAp7DuLCG8yFeYcwGrcGjSjmuc83lnZw8xa9IjXpiXbP8W6U5rnfTxw9itXnmMtzYkjy5jr8\nkD6dmF+NYnaB8vzgAw8CACxGW7PXz8L8FEqSD/Hhp5kPMjFxC+kMvQsG1YLtHWEbl7P39q0JPPWT\n9JwuLK5georjyxZSKAuL7Te/Qg9eLJEChPfo3kcexo+eZfl1Jsm1/omfegqbUa6rw6rh5TPMlysL\nS7vRYG56iKrVWrPfkE16GQ33DGNHvOOhUBfefJHv75JGouuRMLqFFXpMqyI3xPXcSAjdg1GFQRiB\nC5U8DDXeKSo0rK3xXrJYJZHXbcWzz7K4I7yRgCoUAQ8/RIoF57oBFfGaTM/chkEoNxTJPckXK+hs\n572WTqfh9/H3TIHPalKNqIj7JeB3oyz8aQWR8XwhD2ujOaimNRmDjQbxWpVLqMr3W21mCOEwNE2D\nzSrNfyX30WQy4sol5ouZTSrko2CQ/KQ66tDqwsC9k2gWTIRaKddLi+tQ5bnqBmCoj962fw1va6Wm\nKpwHnloFSotshtgqWko8ODzCETJ+JQyDh4+6NhPGA0dZKZUtUhFqDfhgM3Mz51wKtCQXLdDnxBtX\n2AxwfZ2f9RPv34+tMN2KXZ0eVBI8hFJZug/nlg2o1+jSU4xFuKW5pNFK929XVwipXV4oqQErFlZ4\nSDpN/Jy15CTcbuF/uP8+jEmbgtUYD8Zb127hxCj5E5anpnFkjIfM2jpDD3ZTCEtRJpb2WEyo5Klo\n/PAfL8MmnVbrdV4M3b0+GCShcnV1Ey6puGmRzrCGqrWZBGmqZeGWy3VjlePf2N3F2EG6w3e2sjCW\nKNQHDvKQ3dxexfIaDxOD1QdHi1xINf50ujXkxLW+Z7gDFXEhh9d5gAQDjub3W8xOJGJcl93NePN/\nWkO80Gr1PCZu83K85+4xrEuSpjMgRFRlE2wqN/jxQ53QhMJ9akIItq7ehNPJNehoc6KUi8uzUmnq\n7fHA66Hiq5js8AcoYw5pzbCd30JltyKvWxGJ8nWbNEOMFmJo9/BCSqcK6DFzg0ZjG5hdoRx27JHP\nL2bhko7lvf1dMOSkgekG5a6/uwPb0nLBYk4CPl4IDicVxBOj3VgX0iqjM4i1VcrwUXHhq+YKbF0M\nSRkVK7pFEdiQ/dA55kEpTaUi1N6GvMI56BRl+YGPPYFP/PmXOVZFQcMXXK/WYZIqjJokcxrrFZSE\nVr0CBeVaSn7n//V39SEuynKtWEYqRnnZEQKwFi0Ho4QB3E4V9z/ISq7zP6KyrxZ3sBNnGGfQ24rz\n0tl5QBKpT566G/PrvNxzuRL6K5Tty1LZlKoYEfBTaTt27ABePXtJ5tWBxx8nP02jeimXz+Je6ch9\n6dIlpKucI0XOod7+PiTE3d/d1Q+fj58bWeN+8di9WFznZ526+yQCUo24PMfw3TsfewhZ+SzbxgrK\nce7pDz/MMNRmIY4bt78LAHjo2HGsSzNAv4FyPVNRENS4h1ezu9gzzEt3/OpNBNt4DjzzHC98q8mM\nvcKJk44DXf38jNkVnh3zy0uwirK3E4nCF+B81iQx/urVaxiQS0Yt1d/iZBFekhpUuCWRem1lvfn3\nqSlZNwPQCBTEkgm4vHz/2BhDqUtLS3hVCOe6ewJwOXgO9vd2Ir5DOf2pD/00n3txAhfGSVJXqizC\n5uT5WRB5ff3sebS18aJ8/LHTWBP+IM3C55uYmMdGhPtFVVW0tdNgGBykcnLr1i10d7Oiam0tjBYh\nMVXrvKXf8+Sj+NY3SYo43eXAwQHus4SEhM6dvdSs/DRVzahLSCWXLUGVvxeFr6VWVzCyp1/W4DJC\nPj5Lvcr/6+/rQ3iFZ1YpV4dB0iosZu7CCkzNpOZ6VYFm5L2Xl47o5XIVZgkdm83GtxKARe5qdRWF\nHP836A+glG0k/ouqUC/DKOEllBWUJFegWC8jL6R/BhPHUiqVUZMiArUOaBICy2a4bwwWYzM8BkMF\nl65Oy+fyPfWagroqWpOiYGWFd8W/Bj38pEOHDh06dOi4I/C29tS841FyJsStsyiFadndN3YXJoT5\n1iDl0onMNg4N0opV5pyoSHO2gIdegORsHLZRJl8Nd7aj5qX22OZvQXu/1M6Lt/1L//AmBltoVTz4\nE/3IisXc1cPk2kSyjqtXaWG5gz2YEHe1LyguwegUikLz7QYQFLdksIfa7UjvSbz8Ci1rj7eKdITW\neYeUzhU6h7G+SC9Ee6sf6wu0OtwOavRqKYHeUWltMHsbHhe9JnarHbslceWV6FU6HOhBpkH0WS6g\nRRg8k1t8vbBTQNBHayUSWUPOwTBFriihtFoRiSg9HlazDwOj9EokY/xQh92HI3dxLCvhCIrSZLBW\n4LyX81Z43OLxsBkQS4jWL+Q1Pp8B9Rq1/2i0jO0YPTxr61tIZ/k/M3MMj7UGzWjvpjVXqlbgD9Hr\nUVE41vn5LXg9nKv+3gCyaVoA9wgL8ubWBlaXaFm99OKreFBK5U+fug8AcOXcJPxSEl2IbyEpNP1D\no3z/8sQsQmLxa3UN5hrXqyzsnKGWVpx/jcmrA73DmB+nu/7YsQEshPmMB8YYurh28VUsSZKkL+TG\nUCst7q4qLchsOoeiVZpAumwQomWUbJS7d777GP7602wfkUiraG3hNr9ySeQm5MBwiNbQ9bWrqOc5\nF53twmuyBqwV+J5oYQb+Nn5vOEwLLlRaQP8+enq0cg6aIk1Ds3lE5jju//k7bOngMWrYKQofhSEL\ni1FCaW204p1+P2JzHHe7xQm3Sq+MIrwkxXoFCigXNls7rpxlGMUojMN2iwqll5bzpaklDHVKSGCD\nHoFnX/gn3G3nHsiWa/i+JL8e3cd1u3V7Eucv0DvjcfkQF0/RysIknv4AE0Lt0rhwcuIGjp/iGsWT\nKWxF6DHISLJ7IhZvNj2toAZPiPN5Vzc9q3NLi+hSOJbi5g66jzLB11HiAvq6O/G53/gEf+8ZwVXx\n6tiECuHnf+njePMsS3zb2gZQM/J1U5mymFmNYk7yWc1OKzJcLnQc6EVsk/ugEdY0O53oEE/ETuR1\naLLnOlu4hxLJBMqybPmCD/Ec5fjqTfK19HUNwSNnTtGsIr1ID8+NK/SKKfUanB6Ou607hBP3sszZ\nKBxgyeQuJiZombfYHRCaFJx+6EEAwDmrEb1dPFMXlmdw6BgfLByJYlPKr7/2NZZx+7t98Ph6OW8W\nE8r3iUdZ6ANu3pxBz4B4j3djcPk4htdfoyfokXe8E5ekJUYymUQoRA/a9DTH197ejoSEkgyqCWXx\nmvjcfD6v3Y6UJGCf3Ygibuc+WylxzhOpIozCvOvzerEjLUQ0o4qCtI+Awsk+8/JthFq4n0yKB9Gw\neLoPC61CLINkXLwbVQUGKd6wSsJvNlNAdIPPHd9NQVH+F7+FosLu5F2USCSgiCfE5pKwZaUIVcKK\nuVQedvHaJ+WQMTpMMDZK8csVGEw8J2o1oCIelpqEWA2aCsXM10vlMqrVevPvAOD3WJucNduxLMrS\nY6TRPqNmLDXPlmq1imr1X8wPbuJtrdT40+Luhwe5CiesxWpD2MpDcKfG148e6ceGEMptrfgRlNYB\nsQQvhkqsgJY+XujnXnoVDo9kZPf2o6TxfWbJDj/1jlNYXOCB+aMXlmDa5kUXGuJnOgNZ+KUz8+5u\nBO0DrGwwFikU5fISnMLvULXbMH6FCkS7lRd9b1s3XtSY0f7881fxc79Ed3ujNUOLT8Gu0K7HEnns\nHePlEhPCJ81ZQHqHn1k3WbA6RZddxWBBpc5N1mKmUPe39GI5yUO+TRlBoIPjfvkiY/jtmRAG9gnl\n9q4RXi9DPZltbvZKzoCiQXgx2vwwZSiAa0Ka1dKqYF0u57b2LqgyL055Vp/PhMgGFVCjCegZ4Aay\naPxOQ7GEWImbWjUWYchz/E6HD0cOMR/hu999hWPtboPdKr1FKkUYNMpARS7Uvm4HrCZefru5LayK\nYhjwcV0ikQhGj/D5Bk4cRWZzV54F/BylANXO8RvNNmRFdlZmeMCabFakklLp5XQhJWRjNYn1J1JF\nyBLCHokKJRVwfX4eQ0LGeOYM172cNqK9nflNbW29sNi5mdfMXMuN3Qx2YzwYXYe9iCVYUWJz8EKv\nVFI4uO8+mSsVSyvi1pXqhIXVTQT8whmRs6Jsk/ydDZ5mFsUIl4XjzrtVxESeWsc4Tls1jQeO87ve\neGMcmpCR1SwmbG7worXIwV9XgJqB3zsS6ka1o02GIqRelTo8UnmyshmFR7ijrHX+zW7Wmu7o7eUw\nHniCJGbXbjCvYTtSRtumhBGSWcyWqSzWpWWMQTXj5RmGp9KwoCBtDjZXJZfNYEBSwl+762vokNBD\nYjeBT//tZzmHcrAfOHAAC7eogI329KCSo4y5bbxEvT4HjNIlfGAwhFyOa2Sq8+wYGzuImVnuB5fJ\ngjOvkvjRJc2Gpr78HXT2cl5PnzwOzc3L68S9zKe4+vo5qFauW3l9HWXpbv73P2ToJZ1Io22XISUv\nNEjaF3bzeQxJGNtooYy/Y+8gvvcc59Df2g4Y+Sxz0g1775ETeEryY85NXEWvPONsmnO1GI1iaZ1z\n2OP2we6lkpnJckwOtwupND/z2JE92OOjPKcKlIvJyUkowtnT3dENi8Y5+trX2Cl+J7mL/mGOde9Q\nD156kQbBfQ+fwuMPUQYmpW9RKVHARpjn2PXIOqQFEYKioNUVAELdnyvksSotcXxeyaMML+Ch05zj\nZ595HjNzNCrvPs7KyGtXLzdDjJ1d7c38nKBUsX73O9/H6dPk4ZmZnMWtaRpamqQelIoZNFhGi4UK\nShK2tNnd0OQsr4oiYLdUkU43QuZ5tEmo68c/ojKbSmegqHzP/fffjZkZhi7zwk/kcDiwKySmiqqh\nLHunmXtTB1JS1We2GJstOqpSvaYpGkrSEyybz6I31It/jkQiiZKE7epGA0pyktkdFtQkFFWWfZEv\n1WGQ3txGowGmJtEqnylfyMAkRKwaMqgX+b/5Op/FUFFQExmpVetQ/ze1FT38pEOHDh06dOi4I/C2\n5ql59i8+XAeAXfc85vI0gyuLNdh9tHw8QXpR1hcTKEry06mHhzF9nZbX/DTDEU8+8S6cWSDfSqvF\ngX4HtdvJmQkkk3SF9Q7Sagj4O2Gp0LovOp3oFLr7vLgRb8SXYMpTpWwNWPHGBVrXLQ5aoGN7B5HK\nShVRvoikVE3Z6jLW8hzM27SK8mYLNuaXAQBtYk139fpQt9HasXt8SEnDyEY31HQmDqODVlMh78W6\neBxSGwnsG5FGlxFam62tHsyFaVllNmYwcoIJbiO9dEsbayXk6py3dDIOQ4MbZoPWsOa0Ib0pTfmc\ndRw8QNd8ZIEhs0otCqfwEJTVGhJC1Z2L0VJxexxobWPIppCNo9JImhOPz3BHEOMLfP5oMoXMFucw\nuhvB6DBd9929fP/q+jQcklRcKZThkUaUEbHgWjsMiMVo4bgCdYQkidNklmRPQwUxCRVlCj6sLtMC\nOrSHcxLqMuOVl2hlWzQ72oTKfGGBXhKnzYiRHib41fNGtHTz81PCXOxtdWBLmJrnlrdxoJuepuuT\nN5HZlkqcR+l1m59ch8XG9Uwm6mgNcF7KUuGmmfzIiWtbM5bRGqTFOHGLY4mvmdAq7TfcNi8uXGT1\nT6Pj7XvfO4pYgd9pNFowJLTysV16+6ymENZT0rzTboJVZNsuFprb70XMwLHkczUcdVNeWjJW/Obf\nfInzJVUNV3N5HDjKUF55KwGfzFtZOlzXKhVUJOHVXCrBO0Dr2SDcMdtGG+wK9+upw/144j3vAgC8\nMUGWX3znDDofZChJc3U09/mn/+E7nP9yEj2jTKa/fekWVCNlwOGgNzCVzWF5g/NWKZQR8jW4U1Q4\nnRzD8DDDIMV8AedfJyPusWN34dd+4z9xXqOUseee/wFO9HOPeXu68A3h9ylI2YdmMuGpp54CAPzR\nf/s99I5SBpwStgy2tqAgjXF//qkn8eNxsi4fFo/BxuwSNCk5GuoewKULrCy5dpEhn7WdGPr2MNQ1\n76jALinc1ZtTCPTyudraaSUnUikE3DwnlpZXcfGsdGs2cr/29bQiE6cnZieTxsn9XENxjmNxbQaP\nP0G+F0fIhak36OF5+RzH1NMZgtvB7yyqJZQkEbZc4rofOXQIEpmAqgIu4QLakb3w7Weewwc+9AHO\n78o6EmXxRBgd8EgIbStMefb7W5DL8MyeX1zAEWnTcnORHhcjjLjnHs7hZjSCW8LUnJPk5Xwqi87e\nDhnXGL7/HFmXS8XGmEvo6eEeWQ9vNKv9NAmjDA4OIihJ32defLVZ3KBJe5FKNd9MPs4l040saQR8\nPkBSEaJyNlSrVajS+dphc6Amno6MJNeqqgqHcNaoqoqMcH+lpAGv0+2QajCgXq02wzuqJPcqigJF\nxl2tlYGqtDaQnwbViJpEPRS1DrN4mxp8MaVSCWaXtCIplptJybVKCU654/LioSuWAUiTS5PRgLJ4\n6X77t38bAPDnf/ZHUE18f7FYbDYzrTWIgys15HONpq9aU0Z2d3fv3DYJlxflYG9NY5driswmsLeT\njzUlvS+8uaNwOulCT4cV2DzM2h/pF6r51y/DIe7Xow8fwI3rdAvvP3g3vM9XdXwAACAASURBVL1C\n+WyiyzEen4TNxMPA0VLF1EtyEZcplI/dN4DpdV5+rXY7eoNCd2/k4qRSKRQTvDxjGwkcPc0Sy3xd\naNtjGvrfzUPuxuUtTMxRQXBI2afH44TFwzGFw1kYLFxfswiX1dKJlNDa5xIzePhxdjA+98M30dnK\ncW+IUmFp6UCngUqRt+M4MuJKXF3mWDLRLVhaxN1dMUBTOcmhEC9MkxqDHdLbyGHE+A2SWQ0OS4np\nYh4upZFVrzTzYwwapdbpsqAlwFDYfHIDSp5C2yDsm53eQk5ckh5PCHEpFTfAgqUlCWt1SJ8utxGj\nw8ybKuc07Arhmiq5LbHdLKQADXZHBWvrDHt1iFIFVYVJurejWEa2xPmMpxhKi15Fsz/N2toKrl7l\npX/XXbwwZyZnkC7xcqtWFNx4horfu99H4rWZ25Owmyljfa1ebEiZdSqTwbEHKY+LQrBYVmpAiWvl\nDRRQloodh0eqRTJbTXI9RavBYpby9XYezG67BQZpE+Hx5TAwyHEfGuKFa1Rq6Gnl85XrJUQ2GW70\nSpsGzZmDXUJlhY0deA/zGbcvkOrdag/BJMq0zVvA4k1eHqG+gzhyNynqN95kjsKpQ/tRlcrAfafv\nxdwCL8rtNNfHatSwLP2c2p1mPOHihfS8iQfzTz95Pxal59TM5HlMfJkK+fo4lc6n2kP40W1SO5TS\nS9ioUUa21/idtsEgtoR2Yf/hu/Hhf/OzHF+S3/97v/07KEuosN0baJ6o1WwRQenrlZLO3ZlsCqqU\nbz//0hnEUpykdzzKiqjI/BxelSqaoUweO3K5RHcoQx96+iP44Q94YaZtNoRT/N42CU2/56FHcfkq\naQVmr1/CETvlMSMEnyfb+6DKJffS5G0k8lz3hJFyse/uo5iSHkSnHz6NV84zZPPk449heYVzZKrw\nvPrA/afw1W+SEO71a0voCgqdQ53r+r5HHsLcDNd1IraBVy8xNNoi+SaGqhOXrvFvQ/0dsIrCPdzV\nCwCYX5uDT8KVGwtrcNho/AXbKYvn33gTx+9ins216xcQk1ymdzzK8+pXfulnkM3xnDJ1+tBe5fsN\nFgdK0uYmW+R+Odo3gH+SFieuoAc3FxgCbQQilEoJFQmvzMzMISOhmqqUC9dUAwp5uUkVoCXIM6Fx\nuZYqFQREGS/VqqhKPySHlWdXvV7HZVEsW1pamoqE1cUxq4YKIlGhTSiXmiR0hVwWDgfX+O4Tkrt3\n9TzKosDtZNIwi4JkkMu/XKwgLQqO2awiEZez3Co5lYoRiuS8KJqGarlBeMe/GY2mZr89zWREJS8t\ne8xSMVYoQJO8tmqtjGpV8mREkTMYDGjEgYxGoCjl726nC2UpG69J7kwdCqyiuVqtJhTEgXL+HHPY\nNIO12b3dZrOhIO8vNkj66mpzLmv1CnKN/KN/BXr4SYcOHTp06NBxR+BtHX565KHeOgC8/30j6HXT\n2j1z8xwSRWr9bum6bC97kEnQAgkF+jEeptZs2xKuj+5+BKXDaLZexdP3kX77xvJ1uPuoHbYInfW1\niXn07KEuaLS1obhOi9wgJEeRqwtwOmjNZAsFGL3UOjPrdF+ac3bUWzi+vMODzmqjIyrHN7G8jMMP\n81nS0wrenKK15Avx/fvbO7AgVQO9fV3IQJJTxRLaXk6jd4jvn52/BU2awt24fAMjQVrc0Rit2O2d\nDO47Qe9GVi3DKip8xkHLslrX0CkhvN10ommlLd5mOEOpeZpEVcGeAIJSTVYV92lJqUMp0D1aQBWa\nUPunYpIIBi8gnVdL5TxqwvtQqQmld7yOjnZ+Z1nLISLdXzNhKxZXabHfc4oeDaVehrHx+akE4pu0\nfhvJgulsBqk8v3dwoBOZZFbmgGsxONKNdI6/+1vsmJmldyDkZFWDyaDBaOLv0Y0tlMTrpBlo4YSC\nLsRjtNJ9XjdmZ2ih9PfxPbnUBrr6aLlWKw6EC1zXVmMrthIMURqsfFa3p4gL5yTx21hFbxc9WIq0\n/VCMHpgVzrvdqSKdoBXnsNFDdnN8Eaekqmt+cQ3d3bTCz7zMypUDe1qaXcwVM1Cq8HNrRcpKoNOH\nfhsTVp89ewaKVDhYS3w96DcjZ2/wp2twy7zH1qJ44wWuS6dUL3V3jaJtlGtwYe42kJUQoV0qJIwW\nzF1gouuT3X7cfy/DJxASu9nVNTx5/ykZVw/OjVP2XnqFHg9zOIKDHXzuLcWFr77Iv++V8N7I2CiG\nuhgWfPnCOZx4hB3Pu9rptfr6d/4JXdLu4Btf/y4yQkhnLtXRIeRqOzGh8I/H8MTjDLncurWAqPAG\njV9nmOgXf/Hf4e6jDHNMLMw3Gy9mM5SVvaOHENmkh2ns2Em88j2uR7rE+e/wBtB7iN855nbDHZJw\nqZfeDXvOgK1Zyk3fkXvxqc+z2/OmVBXGynnYnMJRUjchIBwjwz2tWJIKqyefZkjn+o+fR6ZRXBHy\nY1t4nW5NUe6GLBbsPcRu2DvOGq68Qg9SVEjolKoKt4fje+KxR/C1r7Ep630PMuF2fX0dZgn1rW6t\noCTJ4n5p8FtLl7C2zvnz+/04eoTr3UjKnpi8jAcf5Vz/w5e+hPe+m4m4y+EoWoM83147yyKBu44c\nxZqQr1ZNdkTn6MGJiufT6nGhKuR/brcbSyuU0bGDbAEzv7CA9g6e34P9HZiapKfHKgnciVQOR2R8\nr7x8Fl293E+bwj9kNBpRFI9HLl/AsCQ4hyMMa+4dG8DGFmUhmc4gvSOVVKYa+vspm/19PJvPn38d\nkPOzqmgol+kVKsnn18t1aBbxWilVlIsNnhmupcliQyZHedJUA+oVCZVJawKDwdCsMtLMWpNEtMFd\nYzAYkZQiBFVVmwSEZUkCNhpNKFQaRQD1pifFbrMgn6LXSKhpUKlXYZGWCqpShSrJ2lYhpUyl47CI\nhyiXL8AmYbW6eIeKhQqMwo9TrpZQl2a3hYTeJkGHDh06dOjQ8X8A3tY5NcOiXZfjJoyv03th0yqo\npJkEmGjU+IeKMAn9tuqJQ41KkqTkU7S1qjCnqdEeu+c0/stffQYAcPq9D2Fnjd6eCy8wn8Drs8HS\nLi0TkgZsbNEKdRikDK7oR7ZCa9TjsePqZeYWdHXwu7oOawgO8verZ+dRlgS0YpzP0uJpxeYErapC\nuoTjR5ljsLPFHJKFuTyymnA2LC2ip5evry3S2vc43SjWqemuR7axR9oY3P3gHmztUJPe18mE1JlY\nAiXR8NWKESYpP+51MrciZo7ALeXEmYIVswu0EpUKPSl97S1YX6Jl5yqaUU7yu2xWek/aBwyYmedc\nJ3fzMEvDx4y0O9BqJqiN1vTZBmEOkJYk2NaWVpjFk9XqCiJVo4cpnF3C6AFafLu7nKvB3i7EdmlF\nmmxG7DtEa25ymtZSa3sf6pI0rdZsyIF5Eq19Qqe/k0Ym3UhGrCHoouXiN3Iuopu7MLlpWRoUQ5Nd\nObpJa21nersZd3Y62uAJxGXd+ExunxHLkojrtu9FYpnyWNhaxGJRGpQ+1AsAWJ0EetulKai5jlyO\n3kCrXfgbNAVV4fWwWduxEqFl2dHLpOZKzo7ZaSZ+3nPvCVy5Tdm9/1SDk2cNxiotpK1UCiGhs99c\n5ffYN4xI7udcDQzsRyzOtZkXttmq04QuL63V/O4WAtJAMBuqo9UvzVS7xWtmLGHyJr/foNXR3i+e\ntyxlIF9XYZNOddVkEs5d7qNzspZj+8ZQa/ClLCzhUB/32/de5fx5+/thm+a4xzo78DP/9t9xLBKX\nDwT8+L5w26xen8AhoUDobKUn56c/+E48/w2ywWrlPJzS7M+KMvbs5//clpyhgwf2IikNTGOpNMpi\nUd53nPkQj33gXbALZ07i0hWcPEXm8mAL//b3n/sS3EGeDd/74lfx53/95/z8CSaunjt/CXaFr4dz\nFRQjlG0/uO7egQPY8nBez9+YRamF59xgC639lfnZZhPGlkAI4RWOu9bmRneJ73v1m2x3UM6kYGnh\nOTQ3F4YvxD2bLXAuLccP480pyhB8JtSEvOTgCM8bd29r87u+8NVvYmw/5dXTwn3x2mthFMUD9fu/\n/svokaabv/axXwEALCcTUMRy7+n3YPoW58Dl4jNFV+N4TtodPPau9+G6lG8nd+PYES/s3gE+t7FW\nRko4rLZ2wujspGfr/R98NwDgG9/6Nk6eZO7i+vo6Orr4+huX6CHsH+jCjnC7ZOPF5nO57FKEsLbV\nzANx2L3YlvwYV7PR6TCWhKens7UH6awkMIv3vq+3G4Ucz2+lpiCf4liLxQpykjf0SsPzaDYjLR4P\ng6KiJrkwDhvXr1Qooy7eEafNhXiFXnWjJB9XUWkm72qqAXVZN6eDZztqChLSgsRgMMIi3g+D5BdV\nq5Um86/NZoGmCc9MqdT8WSvznDN7TKiLV6lQKUMRb5Am+9mgAlYb329WLUhJqXpKzlmjyYS85IUZ\nYEBaPPgOZ4P5vopSg5HYrEGqv/9VvK2VGrNkZM8uzcMp1UGa4oPdIa6+BF+PbmRRV+hm263k0TtA\nYS3lpAdSwgy7m39b35jE6UdZ7ZDfCWM9JeR2wu1SMVSgGvi/f/rZr6MV/Iy9RxjGMRrdKGpUpiyO\ndpw4wAMvJlVEa7sVfP0ZbqbTRwexfoHCnhC6atTNOLi3FwAQLkVgofzDKKGX1m4T1uWwmw4n8eMr\n3wMAPPQY3d5dR3rxN39DKvUnHj2AHqEHnxm/DZ906l3ZXgYADLa1NkNBe/cM4Mo0k93iUQqlx5lD\nQcIvD40ewdQKL4SVcIMvJYeeAY41n4nDIC0BUuLCd8ONVFxCUfkqnBY+g08Sck1mMxwBjqkaV3BT\nkhz9Hr4+GBpANs35TycyGJQ18h9pxyvX6PI3iiPSoG5jeYHr7vHlEHNJIqp0Rd7aWkOHXN614hac\nwgsRnuVmbe2woViVDskxO/b08UJbWJLwolPDUkNJNhmR2qKCY5PDItTVhYgQJd5eWIdbej/5vHKA\n5DpxoJtztZ5dhpbn9wcH3agLy1nVzbFuh2PoHOPnfv/5Gxg6xItO2aWMn7pvGIpKBe/y+VnYJdx5\n8TwV6KpqxcIyXe82rwnVIg+TgocX18pWGYYw5yeZyqH7CYZfbN10m2cNNdza4BqbzTb091OBiSe4\nBwxVE+KSvOvwObEriYvVsgepEi8fq5tjHtw7iCETn3Vjcwfpba7n6SG681+eXcbp3/5JPt/4DAaE\nkK7nMKttNjPbcGxTqVpGDtUlboiT/ZxL9YXvo+cgw8WfOPMi/vPxXwYAREw8zB87chKtLXy+11xu\n7JMKtX0nqeDtyRZwM0jeKcACn1Q/2S013JyijHW0UW6MxjIO7uH49gwOIJWhbEelD9bq2hre9QSr\ns3o++jP41d/6TQBAXi6Bn37/T6C3m2sw8vERaHImLC5wzk49cARt0nNsfPwmIEn4xQLnrx6PI3mB\n/7sSTiOxS9nsbKXc3nuwByXh92lpD8AppIUTF2+jKHT6HX2ct1ShgmVJlvd5vSgIGaVFQi6XLp5D\nl/SCi8wu497DDCstSdg3duM2NuPcDyFfG5LbwgDZxrkoFpP4qX/DUFdsM46bn/8Gv1diAwanDXt7\nqAj98kd/Dhclqbks2bm9Q52oyviXFxfQ3kpFZGN9E3Yhimtp43lza3IFqSQNhkxexcKytIyRJNuA\ny4OSJArfuHED6biQgErqxfTtRdil31E2X4DVJGSGouBpmoaShMmzuQTaglSsG8nH565cxGPSif0/\nf+Td+E9/9tdcF+HSMphVLK1yP9XrCgyNOVCBaERCWBrHmk7mUBA+KaNFgdvBtc1JFVClUocmc7S1\ntQWnh2MtSlWZQVFRFUWmDsBoaZDz8fMzqTSqRT6LYjKhIs8FNKqcmGAMsFKtEQoSOxmqwYC7TnFv\nXrt2EwaLKt9fhEmUGZtwGqmaAXnhUiqUc4Bw/TSev1Kqwmj850pT/Z/9DhkPn6tcKMAkhKf/GvTw\nkw4dOnTo0KHjjsDbOlH4lz8+UgcAY92LqtBYD/f3IGfg7zPSjDC8tYGeQVog+XwZhhq18oO9bDAY\n3wFaW5nEObW0hA4/f29prWNHuAxKq1RVU8kiYlm6H48cPokrk/Qu9IxRKy+FZ9EhLtTV8BY6xcqt\nSWduZzCEHemKXMyW4RLq/brGcMB2NIkB4erI5ndRN1BDN6gc8ytnZnHP/bQWz5+Zwuh+uv5bPMJt\n4HBheYFWvMHehqUVuv4PDvTA2Sbl12LFbq+X0eqnhn4rsoHDg7RAtrK04ieu34RfykrjNRMqwh/T\nM0xrN9SiIbHD8I6hWoVJPEEQV2alWoBR2kMEAy6cfY6smIqbY/UqGvx+Wq6q2QGvk9bY8hKT/sqm\nKFQvLYyXXrwGa4kWt2KywwhhWJYu6hatC9BogXV1dGJRQim+AJ8vHsnDJI7JUtWBorhALcISHPBb\nUBU3f2R7AS0+Wjgzk5yLfXu7kZdGnHa3BR4Z1+wMn1+z+JDc5nO1d5uanz84yvVfn5zD8QO0dhfX\nc7h+k+HS1HQUbfvpIRF6I9hLNhj9tFbWYimYXJSBvnahB8AmVGnrPjrShUKea3T+DK2+bGkR21HO\n4eGD3c0wwK50Sc9k7IhEpey1UsMDT9ID1+GlLEFdgN3cCwCYmJuBz0NPkNMu/EmlLVTKPDe6uoex\nOk15bg92wGHmd7kV7rfI6hJM7RxfZGYHXd30gp69Sk9Pm9ePV37MhNl9IS9+62cfBgAYxxhKm92J\n4KQk/RbyBUzJvL04z3Ji6/oG9h1mu5S/+Pbf41P/8b8CAFqHxMuwU0LXCe6X7/3gO+itCWOxVxiT\nl7fwbz/1ZwAAryuAgJTzqsYKfvYnP8LPWKN36YUXfoBcgR7VvqEQHDbu0wbb99WL1/Gxn6Gn6NOf\n+3OEfFyjp37mYwCAL372f6Kzl54YW6GAroNkG7/nKEubU9kM1oQhtn//KGolzrFXxvTi668iIWyt\nY73DSEAa9l5jeM2HMnbFq6XZVPQNc94yqRoWF+mNsgojsdXdgrYQ58jn9uHGNfJ0ra4sAwAcXj9M\nDu73Y8NjKJT5XarG9/sPDOFHP2TI5EOPPY5n//FbAIC6jOn//cM/wKF+yutzP3gWz3yB5eOTSXpR\nhrp68JGnPwwA6O7vwo/O8PWChP9Wr8wgI6X2AZ+3Qe2CUqmAbgnl//B5Jo1XqhV4hdE4Fo/C4aac\nWo3c++tzi8gIxUEgFMKGhKE1KYX/53egy+WCQfh9Emmuq8EE+CSUVCwWMdDRCwAY6aWn6avPPofh\nDu7hcjGJpz9AGV6N8My/eOMaUsK0nMsVYJKzvlarNRtKNhiLDQYDjJI863a7USxIKoKEaXLFMlyS\nSpFOJ6A2wkcScirlKyhVKSMWmxVl8cqYhLlYBVDK8xwwGo2oSyl+WRKKazWgIEnVmqJBol/Ncaqa\nAcEuZ/NvaTnnyoU6DPIMTaiGZkm4oiiwSYJz42/VYgU1oRGpVKpwuznHBWnJkS0Um6zTMKhQZDDl\nTOVfTBR+Wys1f/yXh+oAcOFsFu3dXJxkLofOdh6IV65zI2smBTbhc7nvnrvwxquM3+4fplKzvraL\nmkz4uYvzGBIelnvv3ou5LSFvkxyLx+4N4ZXzdAFvFyxwO3ghWBxcnPlb19DmYwzd2haCokpflxYe\ncAtLyyiFuWiHTx5ENMLwUyjA9yRTJSS3KBwmaxxm8FKN5HiAelCGy06hsLYHsSKU3Q4Z/+r6DCpl\nKhf9rR6k07zo2/xdWNrk7yvS8bu0WcQjj/Gi7Wgp4to0D4keycRfjKfhk9wLd08Ak+evybxw3m7N\nLDX73vR1t6GclXE5qdQZzRWkKnzdE9BQl1yZ7U1ukNmZVXRJRdWe/kHsbPIQqUqmvcmTQUDi3zfW\nlhCZ5PsCnjpUeV6rmZfTzGIG8R2Gfx586CCmphs8NlRaKqUyFFFqpm6vwiIBWkUqNJbmEhi7h5/l\nsg0gPE5lxSou7JZuFUZpw2A2WZGSsY4d4lxNT8yjpUPco4Zh5GLMZzDx/IENHpQkl0g1DuPcC7xE\nXI4COg5Q3ioVHhZvXrqCfSNUMALdJqyuSoxe2hH0DzuxEeEcXb2wiMefZI+ijl4e0qWsGZcu8HLM\nJdOAIq5zyRuLZ0owS5XM5moco3tcMhb5aTEjBypFfo8XHb08sOemqCgq5jRsJl4ssUIefpuEE8t1\n7Mrh/d4BVpb83aWbcEqOQiHpQNArnavlgDIrdrz8PHNaHuttx699+FEAQFHc6leWF9DbzryzZ/7+\n63BIHlxU4VoaSkCH7NdAaw+8Lsp+p48K8LmlRfzfv/wfAABf+eKXcPYHDM2efoTf8+r4BXQeZCjs\njUsXYFA5x3uCQQwODstzU5Ganp5EQIgOYxspbMRpPDjdHMvR43chLzkSwZ5hzExTBvaPMjStKQou\nX2JIaz2VRFVIB2MVztlIdz/uOcR5u35tAg+eorITFI6UC+MXkRUSO3O51jQ+4hnKRylXwKh0uY5v\nl7Ap/DiKxYJolL9bJY6gaSq8fu6tzlAIBYWfOzpEuXvhzHkYpKVEsZhHTxfXILLFz/H4bbgdZsjH\nuZPC2F7ug64jHL8xH8doJ8+s8PQqnlmlPBqEw+TA6H74TNxvi7NXMNrNc/SCVBSNDg7gC58jeWEg\nEMR9Et65PTGODpmPmuRzzK2swSkyWC2WsbhIxek973kvAODixYtYkUqomqpAlb0fbKGCmclkkJYQ\nYrVafYsETp7f6jYCSqPdgKH5vnuO8ezc3oqjLmGU3a1VPPUutrb54le/CgDIFXJNpSSbzkEzvMUD\nUxfS1EaPpXQ63fzd7fYim+OZkdiljJjMKgxSqaRpWjNEV8g3QjYq6sINVq6Vmu0RGudkvV5HTcJb\niqHWDAUVJb2hXK6gImvka/HBF5DWMCZ+ZmxjB2ZXVcbiREY4nDYjadjtHFe29FbOTkmUKrvV1gwl\nVQqNXm5WBMSoXV/fgllCZclEI7+yxvbeoALWUIYqpX+5CZQeftKhQ4cOHTp03BF4W3tq/vIzo3UA\nCI/7sf8RWhLzi3MIz9M7UFSFf6PsgE0SpaoZC4p5aq0je+gduXb5Gtp7yY+xubaJqCTiVpHD4UP8\n+/QtWhoBn4a6JF76/X5sSoJWj5/Ww8C+kaYFk9iJwpWjdjk0TKtocmMdbqvQzWs2dAY5hutLtC4O\nHu7EC6/TwusMBNAhLQvGb5Gt98ChMaTnJHlV01ADLddhCVmdvT4OU4ma7tjhu7AWZYKakq3BJnTs\nhbRklFfq6NlLTXwnEYXfw9dn55nJXyrY4RaG0BFvHZqd7sGFaYYu7AEbVOl4brGYMT1HD9aw0NIr\nLhVVcc0HO1WU65y3F15eBgDcN3IXiiVha03HsbhJ74hX3Me9IRccHfT6TE8vNi2oQm4Hjg5azEXh\naJmeisEqlUp1LQmTdK1teGIc1gxMwkWUyKhw+4QZVZKaq1U7JmY5fofZB6smCcySUFyobeChB1lB\nMTl1DW6N3gGbiRbiZuo6BkdpJW/tlOEUz53BJJwR1VYodlrWuxtlhLe470JeBVbp+r40w3nZTBrR\n6aM1OD17He98Nz0xqjR6syhV5CsNLgk/5ma5Hl1dDDdAq2NZOo7fHJ9CUdz4LgmXLC4v4uGHxmSu\nWxCU5NVbt/j8Az2d2NmhjPX0dSObYvir4fXa2tqByyIdvTMlmKy0QlM7aSTkf4NtfN0f9MMo3eE3\ndkuISFcPxyrX8hNf/gT++L9+ks/i3EU5x1DPB9/F5OHNjTWkNikjlvAuzq7RK3FDKnNOtI3A1cLn\ncp48ggMjDKl8+0cMae3m4wg5KCs//b4P4A8+8xcAgFYLn+WJ06ebXY1LuQy2xWLtG+mBX1qYfOGL\n5IN56oNPN5lvLQYTZmd5JlyXkFGhVIPDxHPmD379PzQ9BptJPvTowBDsknz7t5/5G7SIB+qoVAZ9\n9QtfwfgaPYwdbk+T+XZ0hGEOzVpBIU0rOJKPoZznXB8X74qpZsTWCudnw+JGr3hXbkzeQF68n33i\nwUrmc7BLAncpnsXAASmOSPLsuzUXwaiEma9cu4LuLnrrNoXj6pd+4+NYbnSxriswiEUd6GEI+8G+\ng/i7F+kVS9UUTMj/9klmf80ZwNQsQ/edLX585MM/BwDIJji/VasRVi/X6Nb1WTz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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import load_sample_images\n", + "dataset = np.array(load_sample_images().images, dtype=np.float32)\n", + "batch_size, height, width, channels = dataset.shape\n", + "\n", + "filters = np.zeros(shape=(7, 7, channels, 2), dtype=np.float32)\n", + "filters[:, 3, :, 0] = 1 # vertical line\n", + "filters[3, :, :, 1] = 1 # horizontal line\n", + "\n", + "X = tf.placeholder(tf.float32, shape=(None, height, width, channels))\n", + "max_pool = tf.nn.max_pool(X, ksize=[1, 2, 2, 1], strides=[1,2,2,1], padding=\"VALID\")\n", + "\n", + "with tf.Session() as sess:\n", + " output = sess.run(max_pool, feed_dict={X: dataset})\n", + "\n", + "plot_color_image(dataset[0])\n", + "save_fig(\"china_original\")\n", + "plt.show()\n", + " \n", + "plot_color_image(output[0])\n", + "save_fig(\"china_max_pool\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# MNIST" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sklearn.datasets import fetch_mldata\n", + "\n", + "mnist = fetch_mldata('MNIST original')\n", + "X_train, X_test = mnist[\"data\"][:60000].astype(np.float64), mnist[\"data\"][60000:].astype(np.float64)\n", + "y_train, y_test = mnist[\"target\"][:60000].astype(np.int64), mnist[\"target\"][60000:].astype(np.int64)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "height, width = 28, 28\n", + "images = X_test[5000].reshape(1, height, width, 1)\n", + "plot_image(images[0, :, :, 0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Inception v3" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import os\n", + "import sys\n", + "import tarfile\n", + "import urllib.request\n", + "\n", + "TF_MODELS_URL = \"http://download.tensorflow.org/models\"\n", + "INCEPTION_V3_URL = TF_MODELS_URL + \"/inception_v3_2016_08_28.tar.gz\"\n", + "INCEPTION_PATH = os.path.join(\"datasets\", \"inception\")\n", + "INCEPTION_V3_CHECKPOINT_PATH = os.path.join(INCEPTION_PATH, \"inception_v3.ckpt\")\n", + "\n", + "def download_progress(count, block_size, total_size):\n", + " percent = count * block_size * 100 // total_size\n", + " sys.stdout.write(\"\\rDownloading: {}%\".format(percent))\n", + " sys.stdout.flush()\n", + "\n", + "def fetch_pretrained_inception_v3(url=INCEPTION_V3_URL, path=INCEPTION_PATH):\n", + " if os.path.exists(INCEPTION_V3_CHECKPOINT_PATH):\n", + " return\n", + " os.makedirs(path, exist_ok=True)\n", + " tgz_path = os.path.join(path, \"inception_v3.tgz\")\n", + " urllib.request.urlretrieve(url, tgz_path, reporthook=download_progress)\n", + " inception_tgz = tarfile.open(tgz_path)\n", + " inception_tgz.extractall(path=path)\n", + " inception_tgz.close()\n", + " os.remove(tgz_path)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "fetch_pretrained_inception_v3()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import re\n", + "\n", + "CLASS_NAME_REGEX = re.compile(r\"^n\\d+\\s+(.*)\\s*$\", re.M | re.U)\n", + "\n", + "def load_class_names():\n", + " with open(os.path.join(\"datasets\",\"inception\",\"imagenet_class_names.txt\"), \"rb\") as f:\n", + " content = f.read().decode(\"utf-8\")\n", + " return CLASS_NAME_REGEX.findall(content)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "class_names = load_class_names()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "width = 299\n", + "height = 299\n", + "channels = 3" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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aSmBgo/cPNBOV1RBU9HMcmeRik9wK3ydWzvkm2Fi99DS6w+08UJANd6xyniu5\nVlDVy0tT2NNjQ4zptHJGjczEEz4vJ8tRU1YUz3vxeTvPK5AysqKXblZQ1XkBF4Yo59HclB1CSkOx\n926qRAUbEyPRaH5GxP6h9PdTJ++0D/RbMNX2Wm1CBCKGh7EyEO+Hn2yJltRmg6XhBxPlMR78ev7K\nt8dfUEke8kDq/+Hj/itRiYftbTQgOuEgNNmh2ljgdXc3HF1R1SaZ3htWXtx3krfwTSbf3r9xHO/g\nyjM+cV+IKuc4kNTtj1Jb4dAEWq4irdCpTZxVY8l1B+mFliAT0oM7n3vK+FrNDSJWS5IOY5g2ESRw\nhROr+5BjzE402mvMsdeEW/3SpkXhveBQBHudBLYfiGTuZKW7sTaqjEglM6h0bHu1qBoVRVR3SWNI\nX1f1pqSmkNYYY1aPwCXWME20IiEqdsICUHRMNCaJ9qisA6OobNw33Mm6iWzcNmXrs0t2gVkgYxNu\nG738KiL5JeHqgpW5kEhsvDPH2WvgX99zp8Mu3nvxpce2nhjQou1Psp/LrKYd2Ft9uhUf1J/fsOyi\nKQ01RfaGYwSbO7D+2bm1xVuaVnTCHWZNho7JOXoJS/PB2gVCvhbB6AJvaoTsJbSsLk5aP253ZRDl\nOAXcjN3hl9uWxSZeAbm4cvH9fuJ+NclIcbnz6dGQjbS3iK+2ZBjjbPXXrB9Suqz1J3ew72lcAa6M\n+2QwSRNGRfvZZBfs5Yvln1xyYxZ4XXxGcHlCRVMQ1hBJ34SG2uqOVisl3EuaaF0B2sl8ra2S6hTQ\n/IfR+wgeKAN34foUPsZAZjFkktETihkcM3icDdmte0AF6Q1x/iPxUyfvCnoT7VTCjLzoVXBJVnzJ\n5nLjrs12/6m/7QMxRBlMJu+82W98e3vwL2//jbfzN/77X/9P/vsf/9ZFQIwhNBOvA7WTqE5iEg3J\n7KUt2GNPRXdGKbXd9MDvZF2LWxefz8X3j8VVzpy9rCO0ikXJvWw0fixIVCYqwtSBbOkZUXBH61OP\n6HGS1Q/X2nh3eEvBtBPnMZoFL9pEq1a0JDAGyjuqSbrzcf3RZJrCWp/cdytlPNeWewVgIHPrrBe5\nPTsouIfil+9ty9mGXNpdjrC9MWhoYUyYphtjbry6xXjSBTACC+/14eNkUmTdP9Q1yBfpDLRdBZV9\n7WR7WER2AigZTUZtKZ7uApyRrHUDex1bBdmTXAVAm2z1UpJsffvArF350q9O/NITQ2QnazPDhmFD\nGTIau06B/picAAAgAElEQVTfTUBvdpqNlgVujF5oeEVogpOtUEnv5a4V3ok7tL011HaD0lzL12he\nLDK7QJo2NKZD+veGcZwHIfcmg9lOgNVOlsJWvbC9OhpCy71HgMoPLb7Y3Rj49lgJSWJ7h3gmHs6K\nBK9t4NZyWbWW3slWp/idrHvhM5mHbEOur+cVcp/dlLZdqNyFUZoHCRUkjJHa/jMZ2xW0F2i8bu7c\n/jsbk1eDGuyptJokjSCy1WRrNWl7333t3dEPVMBsY/Y2SQtSFmrJoKfpKuG+YHz2RqrW4FDht2/J\nv/5r8P7Wiq3f/+5cl7JWn8l/JH7u5H0bueaGEPqEZQZZTuLYSMY5mcdAJPF1NxadQqCM7MWX9Xnz\n9/tvyDUZv03e37/xl7fi4/ODf/vb/8WKD8bRyaF8bu3tlkBBV3qgKsiVLaWqJptEYYxOwqXCPHuJ\n5rouvn988sfHE5d2hRu2D0sVKk3+yBTcW5lQ3WZhqi21+9I8Zm/BVQbQ8riohkWQVs+kBAYba+7u\nPbK79lgLO2cbK83BGIM7ku+f3/l8fm4TrWL5tW1oN+zBxprLqQpMHAtjLeV6PsG6CJDtbniOXutn\nX5/v9XnbRWUOY9VeG9+eKSqt/nCcKy8s28NC54E0m9nwx9fKPltjL31YWsvfRmAqPdaLjp7OdJsS\niWBbh5tbyjjUtrVqC0RS6bXraDgMM5TR+LP3QlX45gOyiGyb0SqYo2WLY1o/CwYWF16Ncbdy4rGn\nOOdeq5+lapJVt5lX7oWe625L4SpB2M+jbMJSvrZN6aJVN7B6UtzfUVX1Mkw1QarWxGQnZFq2Ycm0\n3kKe8aWTTlZ5T1zW8NcQ6x0F3cVxM4490FTvD1TLVRWDSjx66PiTkm07iTkFsiV3991duI++t6o9\nQZduUtGk+QAKl1Y5pQsZs1U0w1pttCe+qOh7WNENi++NV6UnhlR09oKNbKmmpxPecspWC7VSqaXA\n7W9znq39x2i8sA5SF0OEQw0t3aqrCTFQ4BzBXx7Bf/tt8e2Xhd9CXsXf5vtudP6x/PdTJ+877vZO\njq2CWNG6a2mf3mHb0/nbL4BwX9/J79/xazURWMWQReB8X7/z+f3vPD//4Ndf/kJa8vHxnfu5uPOD\neRrjAX4Xnp898XpuqYJybiewJFruBHt5ZY/Bqsh58PbrX/j2y2/Ep7cl5H2zgIqgzo0b8ueGnglt\ngbr6QaCtqpuVztqLIrVVA60NLumH6esZEG3zpaJd8RLDdOJ587yC+0rOIVQNPJRrwbUWH9d3/vj+\nV5LFOLdaZCiTwUHbarb29knE6u99dyyZjsuigCEnDGV4okxiTyJR7SA4qvHGr21GZWCxeqw1qKNY\nFTy5YS2GDKaOhhikO0q+Rv6v77KePbprG419fVcqrWmHiWJE3V1ArHXbWVujq5PKXQzoySQlGp+3\nvt5IAV8/+JXlvUaeke2Z4jtpTjrr1EDLsJJ2x1Pdq/2DMR9b1nmTFTz9RkqYm6iVET+kmrWCWgnV\nWnfdXWNpOxCOqYzhWHlDXZL4Tu5eQq1kZLsMejQkZCjD2pdnTmEc0kk52uq09UOjFS77+TJp5Ud/\nTxAEDptjMCJ3l+sNnzUs1rK4iq4eJb3R2NMH6FGINJ4etxIehLaY0lS2cVNbKaDSU6Ik5E0sJVyZ\nlci0VrAAEgp4+7JoYc4PuKPVQUmlb8np2NXaqbh7G3lDeDoO8J5kVBOzyVRD7SZztcXuOMCMIcFh\ntTcwJypny1/Z0s1VDXleN2sZmSeqo43N7J+g877vq3Hd1Vt/uQoYrf8FHOHygOtGxVguXK48ryTX\n3Z2gtoQnKNZ9cf3tO3/4L9ic/PWP3/n9M1kK04tVNykXXjd5X/gnxIJ7TtY5+OooC7DRh0pVGTW3\nHvjgmA+O8cZtHy0vs7aazU1aNXGn23MiUSvmPDnGYDBRm7tz6Jc6mLWArr2AFyynlMZDUzBplzrl\nAdkqAM9WiNyu3LfhPpHbuT6f/MHfMb2IKHwtpMF9YvWLAsY49zj/5RlhVDTbv13MG/9NJ6U7qpa1\nORGzYYDao27KD2WBR3t+x60bx22TLDSx0fa9K9pioKg9Rtc2eZqboT9oKMRZ942Xt5RPtneEtllX\ncJPpLO/R3kyoIbTlrDCONtQv3yqQcGL7vZd0oUjRhsGiPc2Xt+1n0kqT9PsH2bjoRoE8Wo1zDMaw\nLQes7fXeUIdHk2n33Xjv+CI8af23qWEHzTms1ocDu6NuWazYbFfJpKGL/IJCWmpamX09BZl93cNm\ny11HJ/FeFOupJrO3N6tbzr7WDU2FNySJxibB+znM6Bdr3NHsvahyWHer7ndvJkbr8mSTuyLCYFvn\npvfEub7kgo1Fp+aWRO6NTevrJZrvqb3FKFmwk/bKxKUZBbE2mSpr8elgSwqlcf3aUFftotYXn821\n2DYv21Jgs4N59Hd93x+MKo5ztk9+XCg9wSFfU2o3l8Hk+hR+/5tyPYvLB5/PN0QHNpL5z0BYruvu\nZRuSoYmcjUFuDzq+30/wi/PzD0wPVsHn8+a6LiRWr+qWoNOwU6gI7vwDqQvLB5+x+FxFqnGtYt7e\nRMl949eNX19E6fhPAvse6Q778rSeDNr7oDLxe/Epn1yfT5YHasap/bstwejOIjdwa9VbkCITre4G\nlzt1LyjvI61w+2I9ncCw2WRgpfY2HoJZ68/ve3FRHCW9OJFQ1tIvX4tLPjF1YGwselBrbQ+YNmva\nZ2kvBymjtmeDyV6p7+lhW/W0SQ9/wjzl7VFREshoeIRsI7H2x+5OTbczomw9OtHGXE3+1ZYhtoxQ\nalDbL7o3K6+tCtrXIM20FUnmYt3JtRzPxEZ7eNtQ5lSwiY3Zsq0QGAvNJpz97vG5NfRbieFf23XZ\nRafB0Nb4bwfIqoa9Asf39qzO1qhDKzIylHt38ZG7E90KnNrWBaLG8TCOKcRd+GpSM6vJ0eWN0Q4T\nBgNiUMwmhW3u6SJar14AxUW0smN3il8vKbHWzrXiYntSV88hpHTh8tVab7SQ0bDE83pyPQWP1m/L\n9oQ5ZewV/c6rFSB5MvxgVH9HSDJ1MGxwy71htHZwbBVZtAVxDcYcDGkTOjLxzWEgPf1E0UqrWFyZ\nyIC5tehDheNL5y0Qto2kwtt5c0tgmzmLltNuUlkRYiuhWqE0+3xQzEN5nAp7IanZK2n7gtVi28Lw\nND6vYNXgXsrzFm6tvaH5T7CkI7Rvxxg0DqqTisHlvQm2/KPxWOtO6k7jcyWRzrSgVAkOUjbOpYpY\nsuxiVbJapQYM8EmEIHlR0SqSyh7bgl7LbrigWeczldoGPmb9VhXRm7X+zsf1nc8/Pvn8+N4JxtnH\neXJqS91G9cio7Le/UFi28sFiZ8/aSwmZ3c2QqFpvu0mvQKsIlWsf8GTF1W+OGU5ZIaONm8Y8ehtU\n2wNE9oZfqWzlifaSQvSqfHfkiWRtjbD9cMBTPTgPJfxL69xJoDzw9DaoopPyUBoj9qCyX2zwvFup\nYqKIJK2Z6ARF7rfXhEM4aW1I1qqQvQwxBJtzOwNKQ2lbVidVbbBFNO4eratfpcyHwZxMUbDRU9NI\n5jiAyf2ZfMQiXDqR5fYr8X4pgm7FgZkiwzYpvvW80i6VVdUveahoa4DtoSFZvfYNYMpAOU6wo+XP\ntfamqEo/U1MJA2hohN0tkonfwVXFIrhDqDH2BuQmuve+wmGTQSL36gWryq35Byhq9IZsv31qe3ps\n4tSrX40Wd5tkZfUUmRI8n851FVUH401AE0khcsA8enFIvhL43vKNpqdL+vOJzJbiZith5jER4M4n\na3Uj0X367C59ra2dls1VbHuCEta2q80b1kwehzGP0feJ8afdhHhPF6lb1hp4CV79wox1BSywrxX4\nL/vW6M1gtTaaGkMoHT29+pcaSHrfw4rxqH7ZyGyJL1lE3Xx+7LMn/wSwyTkee+HC99INrGjiTgse\nphT9QoZIiNvx1f7GDLZvsW3ZT7+rb5zd9WYELspxCOTJob9wygOxxZLvwAWaBFevr4eylnYSr+IO\nQ4a1/68mR4HV4r5vvn8uvv/9wp/bRqqSx3wAujcMYR4tN0TgqoW7I2sx6+TUgyHytc8CtfHulCZF\n8th+yn3YMrrDTKS9nS3bknQog05EYr1GLLo3DTuN9MEbINnbZrckx6x2+vPYWHJ347rN+YvJnAf2\nKMJvqoRhJ7E+e4syF18MQaXu7rWZ/YjewAuU2xvjVxUw2kTfe6GqlrfCx6KlfpGELzB4vM0fXVl3\nZK0kyeqxtUhq9OvXXMCXtyfKEI7qMbc3GoVhg/l4bBzXWc/tu/KfkrZ765DF9AduLtVmXcfRBLCW\n9Rto7oa8PBs2yi8S1WzLKxu2EfrFIvMoRnVH++WfXpHU2Nutx8BoDFy/xN6+7/eGC4aeKLMnoWo/\njYpWlIhNvOCOqxeWaHmo0K9Qax35Jju3E57Wdv/TXtXPVdw3+3O0pv3QZnpjrb7mKp4GevTLItCJ\naBKr+s1Atsly/fIAhsnAtIlbq34z0FSouqi79d6WUDV43jdrLcYQjrm3p0X+JEv1y+8oWYBvPbrS\nEJAAVj3qVG17Bu0luEiQ3C6fq5qAtu7Oy9sD3GkYM4J2RyxrZdDduyQ2WjQhCjVa9hvSS1Mr2PLD\nhtmm/RN03nNO1A5KHbjb5aui1QJTede3rQmFvItci7haAYIZObRlaQRZCxuF2UnRUiedyvvbSdxw\n2Mmwd4RsFtsKl2d3vtDbhymsRb8JRJLnldhzQVR3gqL4evL8/p31dIgJNRnHwdv5C+c5Qby7sTF6\nsaQGszrBt/mN96ionSCE7jSmzR77vFifq1UNo+1gexHG8LV4rrvfTqLKobNVMlHcFf2WF/16RVO0\nFEwFtQG2LUEDQhyvwFcnTm2HLrTaKXEej+0FXjz2G32WQ/oH0PdHrXFLHT1FxOouLlZuKdj2cskv\nY60e103GD4c6sv+cl//wschq+82q7YiY8cNMqc33kpJgWqITDuu3vrh/de77JROx8fZD9kTXi1n9\n3s+rX1+WW3kj8qdao7INo9gGXXr0lm71lmJWLwqI6jZq6uJWezfAHoMxJ0K0ZG1j7GaB203Gatxf\n26/jMQZ1FPdzIbKoUsaQvQnIBq4G+2WQ/Qo2ujNsi1TF1v9L3tssy5EcaZZHVc3MPeICmWRVd89q\n5v2faxYjMt1VLDKBG+FuP6qzULvg7JpbCrEoKRalMgHcCHcz1e87J9kvKSqAapVC2Tl133gEcvhO\nzs3zk7OyNemLGHnrrIdxPvNkv5bz+TPo98SncOuLXgfnadiRiRBdf8fNCjn2lM2ux/0L58KaXyiG\nQtFMjKyxSC9QZv3yFK30vvHOuvcYKKU0bJffJILZhb6cooHGF+8+f27TcwcztTO/1IaeeAqrSrXN\nTfe9eAzJhNvOvS81rJyoHsjX6G4jqNdyrp4QsLl2Y3gIcyjsmOavt9f/5tc/9cMbbfkhMGXOPAHN\nr8epBGYFIu0rWSkRLPKqY64whSlOaU4rsdngzoo0tasVajmQcaEsPK7My5ZIsl3Jk2NEYmgzd8uW\nmQpzLu7rps6FSKGa0NiztrZHPLfzp/qdP338mXpULv+DHncSAD1HPInjTKdeeMbm1NMMZLIFxbX8\nvbQRkzUl3yJadlbY8TVzkRPB7IO9ksovni28zB2B20tKD1DFolBVsFMz1QC7sPAFnM/f57yydj7H\nzf0WHo+D0lqOD2Xsn1FyQGqt+3aRufa5r+Cx2FKGL5D9xql6ok+jdKo1rBmUlryRkhKNBQxf9Dto\nUWhfL0DJBmAYu1GRi+diJFVRcnGk4vgc3HcKflsxpGvWvUew3rC64Guw5rU5IRUtJX/fnoUoFUfc\nGDtrPtuGdGXDBNNs04ZkcWqtsa/dBSsNLY0VY3/Ia96IpCMzs+FZZGLLqROohq6vhDcmO4lRIGXV\neZpddyaRkt/dGH2grETajdgjnGSfMPcV3uFXTTQWRGxipOz/DkRW3mZ2G/aoCi02wVIYVyKWRd7c\n15vjbnx8e9Ke+WKXbR9YK388JnuRDft/7DFVZOqEnd5KGl9mqlVJgqFL5sV9JkqA2EvNXR0Nwedi\n9UWXlZFHBSmViJL/vS/m6gx/syTBYbGgWttt0FzKJ4Y4F59qyoyMAWd0s9CsIHXufkaWi/oKritj\nkLdkw1XEcql+ZgB3QwX+t7/+qR/e0wOLHB8syQC/FEX3AkYKe4GV07HjS/Udez4pexaonVYBca57\n0iloe1Csbf9jsPwmvFM1F5KlBtIX8w7GhNEX48r5aztaWtYrGBXGg/GzEevB9+e/8+//55OPj9+Z\nA/7j//0L/rdPPjiRCa/X4OU/6eLcez6b4quy4faZn2WPTQQwK9TWiJYnxrl6zpt9bQiX4TI5SqGd\nLa93I5tzAlQqg5z3KenlBOOe2fiKPccvh1JqNujkq9ywgt43y9gjuRKSoKB+677CBtl9tiTH4eic\nUOreVygWuR+Yy7lnzlRTf/alrMo55oqFsbIVV3NZJAKTznKnjzvr6+VBK0feSPa/EwOrOT7xdaGy\n2RY7yL1GbC3aAm8QkjcGhzUVGRVmXpV9JitE2QIOZ/PQHY1sAM4IsEJpR76sSqEZUIQ1F1bz0EDJ\n0ZDtB8zyL9rlTic1g/mmjwtZ+aArpdFatjtjrmRwRN99AM+/I4kcRVgBd3z1X9hSNJITv3KRGnsZ\n7JEPyuWbYeKSM+CvNdoWVmRaRXc7caJl7TESsHGymZ8uqejb+4s+e/58pBCSTPxw/+r87Nq//1py\ni23Wh2QWPUFY+dLVSNzqFwQulucpOnJ0hSdQLaOCeQCCHIEki3sSxTFzhgdNZWN5N+Bs5aFkIeja\n8UTJl1q1huwxJwSPdrLUsgVt2aIU8vOvkpjZXCssrplpoij78GUZLGBbsNz/BU7eYT+Qkk2nGmn4\nWJJFCrWETg2f1BUMCeqqPEITJFSM2hqt5QOt1SxUzAmzV4T8YYjfFF3IvNG7sHpeL2M6fivz5/xl\nUDE3JolfXRq0cmTxYtx0vxnmPD5+5/n7/8X3P/0PbC2aH/znz/+b13/9Jyj8/PzJX9cbP21/EWem\nBsz50jkV+5oDa7oYS4qFQRHJEsWv5eTqiBSoxvE0jlORKPRX43ovJFbKbetBMUPdUKt8nMoZN+/P\nN+/XYEilme3Ta5Lo2CUfAEpBn09+K4vnmQmFu78ZO50RK8s3tQQrRkYz0W3qNpqeRA3mvInrhY+Z\nqY/TsLa5x1tkwcxTVX6xDeFIsH9/UWehlIraCeVBlIxImmSRREvmnn2+ucYL5oX5ieiRJMTheA16\n9NRhhTOuSUxFYuwdw0JVWDN4v28I2aUeRaMy583d7xxLWNCHU4/Bx/OkaGP0yepvlJzPn8eRvBIl\nccTqfPaBoplaimS6mDSqTSQWGo3CB6YHnZsZ77x1jDcMxwq0w/JUE5709lBiJocdWxj5IhvzJuJO\n4uOaTCZIQ7UgpXKWk+mLMe5dIhNiVtSFU6GcBnEz5otFJ9ywIhwWHKdgr4l6fh+1FcKN13Ulgvd8\n7BcXqE8YTll5W1iiW+qdo6k5Zz74YSeZEgmtG/bVfXH3myKNYm2XtvI2EFPxlZb5L2O8r+BekZ9n\nc5YbxwNc3ox5JdNmOitulJOxboZ0Ho8nZ/3IFzeTOS5mwFkftBKMgNENX8n4r9WxEoTbr4WvVuU4\n8/GbADt26zfLV//Ir3/qh7dWzbwngaxFVeE8S8p1VeizJ5h9M53jQxhX4XoniU+KUi2oqjQ9cIJZ\n2BjJXTpYnS8/pe//v9iLr3UrFeUsTq3GcuPHNbl8cr0nKwZnK+nafJysQ7m9o//xV/iZBYz3e3GJ\nszRVXfYUag9uSa2ZWYpiZXMtXIUp5DxwCUXzStevsQFCSUFbnimA9YUyDSeIbbYPvDp1eIpWj4Oj\nbH728iQaltzG22HInVyQ3jtLF1MmY96sngvEWJqROhalNM7jQCSB9tpO0F0kskrfDHM2IdAdrrEY\nm83ungbHIgXfXw8VSfuIA27MJVzuaVJqeXISsqwjpVEfB8d55MKq952QCUKTT+EsxlLGtORQOBSX\nTKlIllSU/EJ5KETb0cT83LW2fZwb7bpmZ3mHSMi+RZpluicDXXyPobozfO4zbDYh/c72Zgkjpm2J\nxpm2mD74HJ8w117cASSCN0cJezy2M/JqWef33VJUzZdW6KSPjkagkZFWXJibpR6S8+k1ZKfJ8yWS\nrQlDzPLz1BezO6r116lzeY4MMaEdmkKEUBgVs8L5VJ630+/YIx3LfPxMvCyXY5btU6WmZ1UTMhaS\nFSkkbwJfeAYJEqLFV/Eqbw0ROTJyn4wISk1YHJAPTV+EZHs1D+HCWoOxZ/K9LZ7rQTkym563V0ex\nHMNIMr6nJ/iOLbbIyOamnx95yvaNtNVdDCu7XMSR/4zYqNzYiIixFnGtVKH9gxLLf+qHdzmPzKeS\nI5Ky0yG5y3KmLIxJ1UURpUZl3cLPP5zXO3B1Skm9kZIMDXWn4Iz5Tnxs3Nj+cN93uvYS6BfgcJbC\nUZxWc4zjaF65i25E6MLtxo9Ct4t5/4U//vZC/f/ZjbeJM6hH5fH44E/1xO7Kz/5iTadwIDtPnCz/\nNMaMrUmLEbBmbqzHzKLCXu8Nd1yNUpUayrycW94creU89zAiKqoHrW4bDnndX2PmbHf0zLAGaanv\nMDecJyIXlnhGviaDPgsrlPOU7Rg9MmrmYDMoXXCvrEhGR+/OfU3WDKoYx35hHaQLkeUJzmfTHUkb\nTr8dmfkz0DM4ysFaJ9NT3VXIqvm6B2vsh7tAFE8utBsxzmzl0jDNXJ5oIjqXT+btSOj+8+WoQASs\nNJ7l4OOj7OhfZ4xrP8Czet1q4VyejOfIh5qvvJXJXv4VTcM8liq9OZ3++QZZjMiu4r06c3TUBmqR\n44aIxDr4hff+axb8OE/aUZg+6f3K6OVIop/3gW1eO5bkujzDDkRmskjQfZLNHUUoiAiyOn3cOSOX\nRm0tE1W9c99JJ3QvWDlSW0bF50GVg8fHmzEN0eSb15rjhhzfzK2827xwLOfoux0cEoni3dCvMSdz\nxFawgRey0SGpI4v1VVhaWFFMk18/WZvNkotcbRU7jFoKa9z8+Ovf+OP95roywfLbn0/qWRBZ9K3J\n6zGzySkZcV2MTLVNMjIZzh0LWZa3RTM2iTpdtisRDTX1RGmqj1z4ugbDk0hYilH/wafyP/XDW+Uk\n4s6EgWRLa3gWddNiMhCbWWWVRdOUMLC2v04VbWmCSbB9z9OpBrIGeEePOwlr92J5Z+7lBORm3jQX\nINe9mN5AT54fB+3ja9Z702pgGD4nc72ZNulr4WPRqlHrg0f7wB4fNFPcBCm5zTcp+FzcK5tiLrkg\njLFywzOdtYTouX2XyGXVZDEliA3JrlpzcaOFIiVLH3OxFhSHXhxVISypesv3Rr8vZO6rMkEsIVb5\nldOOMrNNbIsYlb4mPW6ezTirZo66Z8SsmCJHYm9XgPT1ixF9j8XatfPioCFbkRZ7xq+/FllahR4j\nl0Kl8f1x8Ggf3EVYXXLE5GvnZbfkwdPFaYV0elpWkolAvKLyRL3uF5hCZKQxKxa5HJa9IBZ70trJ\ncZyUooQMxrq4r5/c70/mHVvjBX0s3m9nrVxIFvtSAxtSBa0FrORCVTI1NeYN0rBSgME9BoxBbTUX\n6G57JJBzd/uK2bWKS9BnsufHddHHoN+pHRP+nqhYYVsecFHroJ6SsuiYe8FtCJ2xblxmFsO8Uo6T\netbcYaybkLF91yM7F6ZorI0ScIoaR6v0ewJGqSe1npRa89R7dUbf8Cxgek/0auRYzH0x7s5YW6+2\nLDkolto51fyuE4YWy3GiTkot4Mq4b+7uFKBIyYd2a5zfH3x8nFgMjpYWqD9+LPq6WVH4OFvuDK7B\nmiCR7V5rgpZFMHfWP58Ha76ZU7mpFDHqmQEFY+sPiS0ISQ+Aepa6TGI7LRPZkcPvf+yx/E/98I5h\n9BXbCWfpCJwLykJLWkuyDZhv1BFJrqsP41l202knHeZM47vvSrrVSZVFFLZxJQFJRXQvFqAeglrQ\nP+F6C6MbejSe7cnjo2Jl4UOQtVjXbqNFMBX6WhhCKZWjHZtVLQkcWsm+SMUZTIu9GIMsHuSC4+uS\nmzyR/HCb2K82YS7mFt4HIKg9EflAtTH9YszPZEgErLugJfaJR/dGP5KJorEZD5FZ4thy3iKELVYd\nGemLkicSK5QzkDK5/vrJjx8QGLXmC4JdpHhUwxv4FJDECsxs01C2YSdr4bmsFAmCCy2LYinL+Dge\nfJzfeT4+OBswNzluXtxrJdu7Ji44AVs57hCMoxkUQd2Qubkv0/eNJ09xoUZrjfo8McmYnUullINS\nCqUJ5Sh8lEa/K68flfvVURWOoxKhvD4n79fKP3fdt7G56B6kECTHTF6Epcqag4QtjM2TzgLWmkJE\npUqqw/b5NJfXO87nsX+GO0nUV4qKQwIDJNLN2nveJGHyfCinKNQcL3nA8HScJjskaYwiOT5ZPpMd\n9JiczzeJuF34rURvrJVxunJkEzLBUMnNCQRtSjkr64b1/nqoW0LIfDDXjXjGApcHfQzu0ffDUqnl\nyAhqMYo15uj5v+tBPZSwSUgw7jzZjrnyZG758P0qdIko7Tj59vs3rvFiaWcGRA30CFpN6Nbqgn3p\n1Sz/DHMMLIxi2fS0RlrvXZM/MyeUbJiWmok4hz1qcWRkI8Isb9OjBDEtZ+T6L1CPn1fme6UqpiVV\nYiOXiaUprdRd9xVYnl+Mku1ArZqb9DtbgXPtRZp7wqDUqSV4j+B6L8KFIo0gUwmhgWmFI5uW43Le\nXbEV1DmyHWnZ2tJN4kMEWY6uSV1CkcrBg0f5jULJJmVM1hq/2ntr406hZAbUg4hMfNj2Pao46kL3\nwVwk3H/XnMdyYOTceRzc88tzmf1o95kvptkyIigQVpBSCKksr3RbrDWpOxGgDrtgSd5vBn06450P\nvLtDKLAAACAASURBVGdfuDzyZM7YI52Ke2Z4RYTadIssCq1kHLBv/VhmuGNXxkEl5QFKgqyExIXW\nUqiWeeU5s+bemiFycq1A7qQ8RgFZC2Hl3HIjVGtr2Tr0YF2L7iPjfF/mnwUujXZ8cHz8mdoqRiR/\n3WNzQyJpjA/D2gMzox0dImhHo5bG8yP4+SNPwVoBW7z7T9ZrcPlC7gGRoy6KIRUesTCRLVFwhudn\nIYsejnkA+VCek51xzzhaMHPu6yutMcqWC+QVfvrk5Z0Ri1oUL4WlyQHB80bWp2d/sShalJAcWvXp\n+NWhZA6+HB2rPTPdvTB6jrYqBdGF+MLKzXEu1I0+O4NgvC9+/nxz/a2jLhyPxuOR1EV13Yu9/fJa\nWa4bMwtn4dCbYLdBS8WbSUobsEY5jekpTpHqaNnJGk1k65iwXkm07KcSMahP4yMOVlSOR83Ag43d\nRygc9YloYfji8/UCX7kj0YJpoR0P1hjc18WIG/c7xQqRWbE0yW/GieTPwzC0OCaKR8UoKaKwf4GT\n9+o9lwJlq8Ei41pr5VWZsj2MW8iqInT1pDdKIJt5TMz8QpSMeq1w2s679qvAvgYXK6yebbYlwrqz\nyksp2GNia6L+SvLYbbgk9U7N0+xSCv6Ls10wPTE9qXIQsZizM2YnxNFExeWbXzISudb2YYbkGGMj\n7qwWNGDM3MiLJ6+lWjbNrBbsrJznk9IeuQiS9AFG3cvYr0alsPnjXxjWmSe34JcyqhTfBm4lvLJG\n0PvN63ohBO+u9FloFdrDOQe8X4u1krkili850Ug26FzIWthegGVF2zc3PP/sKrt+LAU8H9q1ZjEp\nGTdOa4Y9KkerHGEMlLF/zoHn3HgVvBeCxPSqZjlCq1POzK7HVGTGZmcHcxWcA/REDKpemVaYneDe\nt5WSQoNitFZxFlYqtZ3UkhGz1/uNFKU8C42G/PHibz8+eb9/MlYugqU02vNAxRJQJIJvuFFI+i6x\nnddmbitQmumzTZiz3pz0TkY4XfPvvJYc/+CW8bkK9ai0o+Z8eFkywKcjSzh3jNM1TULsqFs2ElOB\n5z3pfXMF/TNY/aZa5qhfyyltsvSG5sTM+4SvybgX/brp98iuhDmlnpQzefMek3ukzNhnKgUzS+9E\npGj6coV10J6VZoVgJoxMGlIEq8H52HN+V1SFDGUl3uL9ORlDsJIsn+NhqD04jjOVavFGSC9oOyvF\nGtoHtwJVOA6lbGlaOfI2dK/JWh3fmsRcxOfqHXFcCmxNmuzbdK15qEkCYS7y/5Ff/9QP75g30hyE\n3XjbVe0QdG0V0yID8KqoJFBGVmZxy4a8YwsrQbN8QI6xUDFaVZ7WmCrUUikq3BuGtMIZrzTD6Ckc\nD0FwbAWPqjRJUP1XTbtILnLG19KDhnCwUO5+EZthMtakWOVoDSsL4+beNDKLnbnWTGlE5EMYLYhV\nxLZEVZXjPKmPg3I06nES7UyJgwS+Xpl71siCCZWQRdiWOUgmT6Yv1hzEWohn6kBLatQyJ6yon+gq\n2FTU3hnb0rwiL5/UBs8Pw8XoPzJCmIb6ZDr4WhkLdP9VYfbdshTbaSItCfjSrCqFWBYmLP/Ov9IL\n6KSsge5oXcREZGE6sTY5mqMzuCW4u9P7ILrs0GJS90qpyHoiw/G4s5zjk/seSCiuSjtKAqy0ZCks\ngmRtbcXVNVixGCb4nFTLhmxSCwuP4zu/f/wffP+4eLS/8F//9R9c/c17vLnnZN3G24JrdWTGln9k\n9G2SvA2JxYpOnzfD5z4ZZ5Q0txwTNL2RI7a+zDT3B4fSohERtKZoybjavIP77ciOuMmZIt5QmH3i\na9EUNFreYNyI+2DEYvmiivH998nz+SZW8PnT+HwNaJPLB+8+cK/ISsRBFYi2c+3ypS3LB1p6Pb9S\nPGm8QrJo1QrZjAQU4/l88u3R6P2T93ol7qEYViK/myV55LqphoQwJ78Eymz6Zi2FUg+O+kHb3zHX\nROFaibxFy6AVT5Z3C9x7lmpZuEyk3JnWESM85+4EyUz5wnJo5uZz15aHJitGbdv96f8KD28Gujyl\nCKURIuktJH/Qa2Tj7YvXvCLywb1ntx57fNAiF1kWlJYFn1oarVT0bLkEjLSOszR/YDOv6jKTD2IN\nSkkOxVmEWjK3ixshFakHZhXEs1Q8gZWQokXGuNwXfQW9AGp8KznrLTYYob/GJWngjg3PKUwKRPIy\nHKOWk/rxG+f336jnk1oPus+UCcw34pPgRutNscZYwpgCMkA7LkJQ9r/rImImLKgNOEou2pS83gr0\nbggntS7KYXg13neWf778gOcziMmOkB0Z5yyLsgztStx5ut8jb8yU9rQE3Uea1osaTSrIgyqPRAQU\nAGPFIOKmz4t1d7QIS5KOt2SiDEQHYhnRuufk/c4vnhnZxiyNUh6IfWS1v5zUvqgm6Ppk9JupRmkf\ntPYNYrDGT8bszPfBvAvjPbmvhfukFLivLFktd7pntEy7UL89+HgexA0M4xovjvmTd38x52T2d0KN\nVubHS/2S6gquCXZKHVqmfVRy72MbqLQ8l8RJ4GOnbRa7pZ3c77iyGeiOzN20vCPbyUdQn0p5Zit2\nvtP0kqOdQdOC0ohIPnqri+dj8Od/u/j9t8kalf/1Pzv/8z+cqwsTYy5H18pORgjLBHto6ujqvmVG\nR0Z+DmQmO75Wy9GXpCavFKg1hSWP58HHx5OPp1L7Tbwq7oJ8BaGKUtqRRTV2cDAAXX+vdGo6XbH0\nZrpf9CvbqogRReh+UyiYBN8+TrQukJV8nwWuG5VQbNfwDdhzbk0Jukd+P7+SKKGpIGQl72VFlqgk\n/gXGJnZknlbITK1rRqCSD+2/RigrFmvlei+v/iVzvCv9iOLpqGNnhWurNEsHotTCw3OmCMDXabfH\npgGCLgEttGo0g5p2gZyjz+STlCjIWakl8AOumIz+Zo6UkarrbkcKUfNENYfxcSpWF4Ty5ZGcc+E4\nxbIBt9Yk5pYXSC7yrD4o7QO0co3FPT5ZcyDRebS8Di8Bj870yd0XLhfldMpR8sM9nCj7RC6OG6wC\n9UgkqUqghVx83ZkxC0tBw+er08ZBmEJdSHUe38Fuxbcqy6rxsHwByOdNnwN2urscRjklyxOLbAKK\nUmrDyq6MW7KrpTSMkambObh3mcSHpDyDfNAxDXHh/V68r8n7ypdyKxUlr61mlrcXEaoaR8mlVP7f\nt0jWavJOJHPucznzmvQ7UtAR57bQ+y9B9FrOdId5E/oHGsFZCvM9KV55lj9xnk/e/Sc/P3/w+f4D\nEEJtA9TW32OgsfCSozK0/LpV5lI3pcuooAPMt8iDoLUswwzbPOtZsoH71Z/0mYKSkgWS81k4nzDu\nyefnYKxg3TMXrBRONY69xDUZPGzwvcD3Q/DqzN9ufnyW/IxG3UtPaF7yv5eFmeR48dj29rURAkDT\nXOCJpVWhWCOXMg6a8+jWcjlqBrUVHqvlbSkgJE05mW5pmWffBMLYTBWQjSbIoIfoQGTt0Wvsxb1R\naj4/qmZMUfbhAJKX44tfD+bqsjEVydgh8rmk5Fg3dLOOjgeTzJ8nR/JOYmH8CzQsz+9BcWPOhP07\nWVNefXMwfD9AV/5lmOTyoZUtbNjLHykps/UVGbtSpZAf/IjYs9aMB0bL7GmYp7tSI8sP2P6yp9du\nroAoxKzEzCRMU6hHgRrMtbivzKguB+bivsYmqBljvJk94PvJ49tmp3ie1MfMo4m4YjKScbwGajtN\nc4DVRXDR7zdX7/TxRnDOo3IcH5gI95zc88Ucb8adwgErDXsWKEkgrKtBZMzxWovooNWph1Fbfhkf\n78UYk4xdO9c9qFPptSHF4Zy4BvUYVCusbmgciWytI2fgx8F93/R3xwe/XgRaDCuFg4NTG4c1SjEW\nzu2d1ddejuVVuF8Lt7lPVsLsTp/Q38YohmrZ/sSRp6LQ5HNn+DHTEJpuUwtFdt3ZauWoJ7VWih57\nRryBWEtYM8s8pRjWtnfRsk237iRCWtyIXej6G68//pPbPjKa6ILKB8aByAWUjMGqg0ky1d25r55M\nGut4PTGrmNaMYMoGanmk11Q3uWYKcQniSj3Jn5kl9Ao56GMk39oqXsBa+lRrLbRaOY+g1sk9gqvP\nfBmNkg8Yg4dVBGH0xR8r8Ak/XzlbHi48fy/QAy6ooSzZVMJSmcv2Q46tNgMvkm1ShSZG9GB+Br6U\naimuTt3aTIaMdpCbNPXAcSgjnBgCUdKZ6iXz+jtp5GSRbc5ESyh1G68iS3sleTljLMaOyCo1EcG6\nC1/MDP/nTIQxUqtmorRiWfhbm1tC2/HLQSyyd9CyOo86fbwz5eae+5l/rKPzz/3wPr4JcWdDTCKX\nMeMK5silo5BwI195F8+Ci7OIhDmVknaMWrLyvpcGRcB85qY8SThbEJsRs+kpOqXkqdGKUKpQLUco\nKWrVLCuEESsTHUP3nKvkrWDMyRhkvO123u+OqHDWhkomPMZUjigJ8XdYMX7llsWhWHBotv6ESphi\nh1IeL1wvxpDUxIVSTWmtUezcMJhUbRmFJjcrGrpatiZloKIcZ6UqXO+b1+eL+5rMlRX6Ug0pQnk4\nx0go1jWCNY2IgoviJO51TsHb5DyV43Fi64msjGxZg7McWDuppTPvFDNMWfl7aE++t9/5KA8OAdHg\n3V98vm7e/cJmZpj7/cm4PpE6KC3LHGuQHAsMlqZhRp1Sk90WK6/rKZ4dO+ffOMtBVWX6YMZKKYsV\nWn1w1opHZrjX2CTEgLrHLqUktxmVfOHKQItw1EVrzuIHf/v5k9f1wrUxvaRm8i681sXPa7B6ekfV\nJGOZfDHNnZgBkqD/okI1EIQ+fUOZMht/34t+T8YsWBEkjKqCSMKzXiuNUksMaSf1mbRG3YaaIO0x\nx1kgKmsGP37mS6LPhfvYJ1NheDDu4C8/wP6SO6CPPzWeH5WT1H2pkN8BKqaFEsaamaZRyRf1tDRg\nmUIzA5vEmNBTy1YK2566kcYtcLlZUSma7cbOwle+qO3r+zgX00cmylay3D0yrkf8/34PYRRJ1K6a\nwJy7kLNbtWoU2v7zZ8zVPRNP4VBMaKVCSegdWhLJq5E7mP1MiplhA5ZliIHtCJi7APgP/PqnfniL\nlcRKutKsofpA5uKKH4z5ThNI8IukZ6EJstp2c9mwG1/JRfm7bgxYN2u+sbIQhFpPTIXXW7j74BqZ\nS0YztnaeRtHc4qdhSjMCpCtPUCT5cMyUIIwJ/T25L2d16HcCkVRAu/N4GrWlEsrF86EdwN5uR2RG\npFrw8Xzw8XiCGlMmbhdRembXZ2HNLKGkciy4rk5MT/1ZfOfU33g8PXO85tz9D0a/0RL7gWQsdXwo\n79dgDaEWUplVBSro6TxXnj5CHzR9gOYs0KUwluADjrMktIvKup33W3ZZJPPlaR5SmLEJeikHblRO\ne2zWsdO1I+709QJ/Zd37GjAHRfhFOZJIUD6qe66aOf1jlzzyC7do9ncIVqxAWtsShs6YP1kx6LNT\npZG07USQ1nLCTt4kznNt6FkkjI/AbFHL5PvH5PnItuLr5fy4X/S4mF7wO+ekt//g3TM9E2ViHpsp\nksNqrXUfVZ2inecx+P6Rtf6fL+ePl2T134P70uS2H0pUYZkRUmjVaThz/OSuGSMNc6wYYRlPnMBw\nmK6cVvj+PFjfs8X46hubijOYFMvWr4cw46APoQPxWNRHjiILabzXUJbYbk5+jTC/HJVZjV8xciQl\nsm9l+zZkK92clmOHLOVk/X98tZ5ZDB+JJi41bycmiJEV/7kSkbBi190D0Qk4EpaLed9OTRVay+6H\nry8/bkE5MVfmNFj7IEXuGAyjSk2lmWzTTil5GPPdyg8yurzLb4Iy96GnaMYK/5Ff/9QP7zWTsdDa\nQTm/E/6k/3iz5mciSysULWkzcqea0bRi2HbJ7dkYk+OsPI7GUR7UvWgcCm4d08LjeGQmWOCPHz9Z\nMzYfBeJIdkEtNelne0Hkkhv6qJqkOQZjXtu80WiqjOWpQ5o3WvJm8L4n7fGBtYpY7Aq9ZVIgFhq7\n9adKa4XzOHg8HkiF2yfvsbjfg9en83rvcVAR4hD6FtmusRg9IUK1PXh++6CdB/d88/q8uEZgbSHn\n/GXksTBiKv0lvFoS4Z7fcj5ejrzmtlKJ9cBcmOudrT07gILPwhjGrJNSr5QLMxjz3uov0MjmJubo\nniUGN0suZjSoGVNLk5Hj681iYlRMCq2eWZooQOTpPUiIl5W8HQnC9E1v0zSrPI4CfuJztxrnladc\n3ac079xboNBfmrLYqpxH42H5c+szdwf3leS+sJyHsjpYjrv6WPQurHUyxuA9LuZKprOoMnhnvj0E\ntjotIgl34nmKM9uKurZ4PAe//zb3dR6uWXm/KndXhJPjAUud5YP3HFQ3nltF9ngqQcU99w9iBdXB\nvNOcc0/h7sKjGk0PHk14ninKSIFwzmojJsFEanC2E6LmLmV03vfFU5+IlIz8BVAkU0YemeQgT/uK\nbX1Y5M/NZJt0hPoo6SutM5HMNZ+Bc2bufvqkRr7EEg8xkehZ9koCwT6F57RjzciRijm15UPTMGox\nVBKhGxHZ5lTJIK1ni3m6QtQcl7qAD6pCscJpJ02zcKeasCklTwn5aM+XEmul4CJ22W5BkZPHcVDK\nv0BJJ/kySjsetPYnrpdxvz+5XoMBICB1S3DxLLTszOoauV13MqbUSpYzZCWHLME4f2cst6NxlMJa\nB+dRqZ+SyE83vCveE9Aq+iUqTaxkuCdSkthxLRIpWVpW1ufgul9MD8qRTcYxtoTAahYLoueVLRLA\nxcoHaSPt1SIZq5Jw1rrpr8nnH5O//W1x90Upgp0DtTS+LzL+dr3fvF9OKU5fxrelDO+Md9bmRfNK\nKeK5HDob58ym3+jw/hk5KmrCWZTjKDzOhq+SteTrZolQaRQxwg9WV3pJjrRGgN4EV3IuZOFbLeWL\nNKtjaSmPwVpX3mJ8McbFmD1nl9xJltTCoQe1NtpTQTp3v/Dp+FdO3PJkM7vg8wYc08bj+MD0yRot\ny17zB58jxyxVybm/5E1ijEH4m2bCqbuSvXT/7CZ3v3Ik5pOxBqxs674+hVad6ZXXINViPlkeTO6M\nwmnG39Y1iDExhVoTMLYi88OiitSWaFk6fXbcFssL7paFljuwr1KUL2ZP/nhvmkkRSWvL43zmvF6T\ngElNYHgMmMO53spblWQhC+1YnCSeIVZW6ZcPZgxc0s7TasuIHDDmYJgTlhgAlmCapR9YWwiR+jNf\nydSZfTCZzAJV4FCj1sL5KLRW0DIJ2aLm7WVVDYSC1RNrQp3peF2x48GRSZJajTULPh2RyHl/tVyO\nolQzrOzAw8zYpJaSALLwjCTPzK245zRcpdBq4VFPznLAylv2yq3phoHVvZxN446Q0wAiS01FKqWe\nOyL8LxAVNJlZjddUdL0+O58/f2bLSVJAOpdTtvmj1IpruiHHyGysWdnzYoi18LVzm9FZMSmW0R8A\nUeeowvNZ+dYbNiNnpgF+BwsoLSH4bFBWMq6TA29mIM+MaukHo56M983xmaqoduYM1j1rwOG2yWOy\nQViBOohnbrxgmEtG/yKzuv096K+JXyBDMd9b8pIcFjwB9gJ4TH7+/GSOzs/PN+/vB1Ymc72wuk/S\nJpSSH7LjW0Nrzuh85Snk/tnRh3Ic+VA5jmSy3G2xqjHubCI+JPDMR2Wm2G6Mjtqk1E5oPryRFP2u\nO00j1RJ3K5YGnxVv1rq5+v3rxB65Sshi0ew5HiuFUkmehKckQjbxyL9mitsmoFowe1DLiZLjl3u8\nmaJ8O//E0b5lHFWccrRktvgL7GKKMnthDsmHybhZkQ3H3rPW7avD7Pz8CbUkf2Rqp8ikWl63QxY9\nAqFmISluBOHUkjll60x31hc6VmCG8R4VeWWT8Xor/c5EjfjkviY2lGBlikQifY994Stz4KoFWUas\nBALovs3NAO+THsZnGPPY9iJTzsMpJnsM2DOjLyVnuJa861YqEhnPHXPlwvfjQEdKtxFjTmOOfGg7\nvrPmHe8z//PKOnqrya7PUEBFTeh+pTBh71rMdEsQjFoNeewDwFyAbSSD0HQDzjYuttRMEuXJeydJ\nhHzRr/y7VBc8yi57ZSrNVyrVMONxPjmPxsdx0MxYc3FdI2fvDhJK1Za3hUiRR9qs8oSv5eSwhprl\nCGr1f+j590/98K6loya4D66fP/n8283q12aAWHI7xqS7c2ihaU2aHpLMDgBVipWchYZvgW6OKkZ0\nxE88lOnK8q/Th/F4NnRCrAYr4fkquZHOBtzYfAujHJKpgJqo2hWKzwdxFyQSfnQ04TwEX8q40w85\nb8eLQTE81lYxVaqdVCu0ohylcB4Pzo/HHqi9iXVRNTgOZS3FRbDTqS3nhOMe+QWeiWAdq9NmXimP\nqhytZfY2Jjp3q1KV82HUI0sxPkmPZGSlPEphjYVrp7bg+RFoU94/A26yiab59+3L6fei2EAYWBmE\nbphRpHfxq+1n7Lbl5nys+GRcL+7rZozYJ6O2b1VBrGvLhduvL2M7MlEi2P5nDBDPn401zuPMU9HM\nxt/7NRizI+2kWeMoH4yRoxTdL6WiLU/AkVlyj8lcF8NfjLlYI1kpMiVTL0N2mWXQTufj/OTbeaEh\nvF+Nv36mC9I9r+3WTlSDR6vUYpnfl8mSFEQsH3ikQLt7QdZKrGiw24HK5/T8Z5lxalCrc5iwfHHP\nRZFKiOJuBGktUguKGSLZoJwTXpczVqJyS8nTaRGj03MsKIK1c9MK2dFBRcVwKawliS54GFqTvAg1\nH7YESxayJnN5oiFiM3DYt03Pz9sciy6RTdyIdJkuocpBJfVsuGKAtZYJnUg3rapl/nBlGDUbmTkW\nKVvKkgO1rP4Us+Tz7H3Z/dqcbcnPkeAp87CDx/HB4zw5agKzXMeOKechwWTDw6xA2N5arazgS80/\npzi+7kyuzH+BqKCZI8W53zfvn8J8D0opfP/t34iSZZrZP5n9QjZ6khCqHUhJ7q9G4mBF0m/nI1tQ\nYXliRBy1E9GPFI3KBGtYGbuc8xumRzYmTYjiOZ/1C9Gc0z02QKeUzHKPbly90l+D+/pkrU47lbMl\nSruXbOZdPzuyKnoEWhYaQqkHZ/vGoxnHERxH4fz4E49vf6Yd2XC7e+f96rxfzhzGfQ1CX1irlFZ5\nrU/++tf/4v7smAjff2v8+59/57//93/jt98PPN788eO/+PH6Qf/Mun05E8DT56B7UI8H7aNg3BQd\n2wLvzHuiEjy/Q2twirFKhckuAMHd05RTK7Sa3GMkFz9rkTbyyba1DOZcmCxElDvujCWOxLUemoLp\nmu842imUwzFbhOSy6KNkBndO5erOWgtT56z5xfs4D0yc1+snr9fFGEoRoywlXpN7vPh8/+Q1ftCW\ncj0rj/akaUspgAwoNzFfLH5y3ZP5KvhKyNTonTV3y7c63z8W/+2/Lf70+09KGH/5X3l676OwtFJa\nQdfJjCsfAGIgJ5R3jv/IyJsJqFjKNnSh5aa2RVnpodSiqDxpB8DPPChU2RLumvNuFPboLc06mXFv\n0oia3JC5Jl8+0xz9CaF50q1fi9lScrwQQSGSGU/G3nQ7NK2m6SoX87kwFFHK1opNJi4rIVMlx2Wa\nAJ2kfu5SG5BYCDcsQNyIodt8s7Y4eifBdKX1qOTvfd7BujJOaSZUKoUTC8s/m0i2IUMSSGaKj8G9\n/ka/HaRRbC8za+oHVVL2MCOdrELF1Dla8mZQRTWDD+5AZPGq1Qf1/IaaMfzN/U5YVuHbP/T8+6d+\neEc0MuqQ39z2NOrjG1oe1POJ6GSOT67XJ+8/PvF+M6dTm3IcLeM9scclM7/sge+TVFKYsliQ9pnR\nnbEM58BaUE2o+sDkuavuwrVeXOvNIqi1ctaT1o7NGe/0Pnm/Jp8/gz/+ePO63pQaab3WQE+QUXj/\nUMa7I75oEjxrjnfMK6cVns/Hr1FFRCEm6FE5Hk+eT+XxGPyoF+/XQm3g6G4QNoYGJn/DxHkexvP7\ngz//+U/89tufeTyVGZMynbgGvpyItOhoSXnB+5osCc7fTr59PKllgieHYq6be1zUIZwfBybG0hQR\n9PXJ9Is+2JyWvBZLEcRHNgZnYw1FqJRaE/0Z4GtlbtnfFDG0ZlFEdR+nmBRJj2E9hOM0MKGPryBx\ncqHVhBK2pc0HVRtCxVdq1ADaI6+5MWBeb+aY3P4m5MXoHaFy/fgDkUqthpWEf03vuN/M0ekjC0Br\nOXcfrKm0w9AK1hwtubCaLFaZyFGpvmUEW2Qcy+nDsVloZ0U5WPR8GCAJ9bKaWNEIVGoeEFiETB7t\nkSz3osxZk/dDGpCYymKmmHeXkiBP/3n7TMeoWfoyJRI3rBi2s85elFiF4p77CVdMyKKapfvRvaRU\nOPYDfC/uE+eai/3lAZZSjVIFo+bLJxLD7JG7F5NsKjbLVAq7QNZXFrS+RkN86cpINdq4F2Ipalhr\nsVZQKFQ9OHhyyLmJi54HkLXoc9Ck8Dw/WNx86h/EnEwPpDnSdi/ABWal3z/QyKZuq3lbOo5HsmnI\nEWXs3dWYe4dlZ3YU9jhxhe7EW/2Hnn//3A/vVSj1wXH8hn97MEqwhpJw/UatB4/jwfP4Ez/5g59/\n/V+sdRMRHC2vbb9wr2uxdG2kKkBsLVowx+Lydy7I/M3SwFrLaNHUfUVKEtvlnTuy8j5CMTVOO7AK\nuSq8mQOut3Hdu6BSlPNReT4WR1EeWvnbSstOMeXbefDbt5OqindNRvLRaOexK/PG3RfI4O6e+re5\nmD6xKpxWmZ6Sg7x9BM9H47ePf6PURm0PKAev95uf15spf6XPz8xDq2VcUAoFYalxfUUdr8WlgTyE\nWg+OWvC38L4Gn+r54DBF6kTiZhIZxZIETGlYRqUkTfeJmch/Xz1rYkU1H2KsmUWG8AT7WGJZj9Ng\nde5rEtMZ5OknNjMbJ8dnWeyGyMKGeD6o+pwp5uXeZMJKPQ9OO1gXSWlsxqP9CSvfmevN/forfWH2\nsAAAIABJREFUr9cLx/DD0HIjOra0wVHJ+KjobtSJ4LNyPp88PoTQF3/98ea//jhzPjqCt0z8yNz4\nuJ3iyaFXUarlIYAqXDPJk6leKr9k10o+NKIu+vhEV+esRj2/mCEXZnfWw30xe0el5e+3HTk29ISD\nhS/WuPNn3gy15DlqxPYx7rLLPoGvlS/jtRalGvWonDXhXxIVjcp4w3rlaVwruZyVpEmKJJJCi2wY\nV+Owg7IWI/LV3Mw4auF5lF01h7DOKjk6UXLOftQku2iCRImZ4xWfK2fbptRHoelJtZaff63J1Vkj\nhSy7KMf8Ej/kn+eukxg58oBMBKUmraTmz51Z6v4z5fdVZJuPPCmJEYMx3owRjJlc9XIYY31y9Z8p\nfPjHkoL/3A9vWScWD+BMJKxO5q6/6rig5skIz3l0sUZ4+uVRyXhUBLIyrpOjk8gvIXvrr5r8kdEZ\n843rSIGDKLDpfAzG6vSx4TQahKekdgznMt3lh098vXFXkAMxoZwn0Zzvv1d++xYcIazjoBa4Lmjt\nyZ9+/87zWRCf9Gth9uDb9++08wOPmmAfy2th7zd3v5hr5vLpaKgYy9Nycr3fiE1+//3g3//tO4/H\ndzwO/vpz8J//9Rf++vM/CX1RjsCs5Swwas5vFb49H9SmvF7Qx+D9OYilfP/+5DgrUZVxDcad7ks9\nyUVZydbf17JnkQkAH6SkoJ1ImWgTqhSMQq0LZeJj/X/kvUuTJFmSXndU78PM3SMyq7rnAZAYzIAc\nzIIUIQHhX+eW3FEIEBRCBgRBzgDzaMyzq7qrKjPC3e0+9CoXalmzZHPZ0iHSu5asjIxws3tVv+8c\nfGgkPvwFWznajCVE0NbXmV8PRKqrQonF8RwRdzMPaXEALwKvuszpa+K+EDXKFgWibdsDhaqd4koq\nQtqu1P1KH5MniUz0CMoWP/8+Lew+K1Fr/lF3tdZCSujKLnuh7hVbix/uwnGvTBblAmyDlTzKYp5J\n7my5kE55iCzD+sDnwKzjqzA1MRqYBGGylEzZCmmrrGHsYqRy8DwWssaJKD6r5EnQFFHWIIjEQy+X\n0L/0o58PpHpSEXOYYSDIfhKS4KzCSqEtMwvH6JzBrMcD22sd7LkYT0FSJbvhBHJBSKf1JszrayoQ\nD9SqSlphhMoIRYWi0XwNmJRy2Sp7DslvzpmsEeeMNIiwqkZU0xZrQimVy/WFy3Yjaw7ez5qoxNx/\nWSCXa86oCM/HO+KTPma0n1OYqXIOhO+cA1/HOeM/T/trMeeMdrYmUo4xyZKEr8Za4dmdvXG//4D0\nhXHg0pARv0+/ytev9cM784E1Cq0PWovtc3gOOZ++FVuF1uF4dBCiMVgkfslwJIdVJWuhUH400STd\nzj/opN+ts1GlMceKZMoMFsH5wN72xG27YmzcD2MxQxgrjWnKGi1ajZq4XAt9Ct4T6Xrh49eZr64J\nBiwTttvCVmErX/Oyv5JYjHYHG6SyUfYb+8tXiKST5xzFkDQqkNB5oCk+PCJK1Ro6NVtcbsGjoIDW\nTNErNwb35ydqV5CXmDmmSdKY/81h5AzbNbNdNmp1Pr89eLw/Od7DvL2XG5e6I683jhFRLSyuuEos\ncyjO6ovDFza+NBwzpcTLBwXPQY7btkDfThEkZXK64v7CXHLOeQc2H/Fz1BzLN1v07th7j4ytVljR\n5PNBxDjh/AWJmaxZbGBL3U8+MywmXoKpjTdGA0cwzXjZKFfYirDXFvjP4/RG5nMproKkxLIVDc3W\nMY2/q7szLXEMRzJcNyHtmdGBNci7kWZcuQXB3WiP4zQ5TfDJEqEz8Ng6Y8upJXN9rdQr5K3ipvQ1\n6Svaw5KFhHPdlb1kdGv4iJy1rAxWQhWnI244ELRF1xOmpD+ilEXPgouc2ei2uI/B8WyxFLZA0NIn\nz/fG85NhrVK3DT+XjUvj85hLtJBXjlGLe/QpgjTplC/Z3RVZcJEAyhWtFKJ7kDRGP+LgGvE9yRVf\nG7IejDnjxZpuXLZXXl8+stXC0d953N9Ch+eR7FquFM3A4v39M2PceT4nrUuw3bedbduY1mnLGCfy\nNRrYwTSZc2A2EVWqx/doK6QpQMgnkqI6Iye/JpoXvjr2qz27f70f3olLzOhagzWodVFUaOfbL+lk\neSyqphu5ONsl9ERzLgwLkqAE93utkJZu23Yu1jq+eijDTJmeMSL54T4QP9+uxNX/ul+5vXwVirN5\n0OZBFiPJQdIdpbLWYtugViHvhfwOnpTrduFSLyzAckfqIOlG0SubvsQGD2MsYXqmrUQ2QcVo40kf\nM6A4Z/TRiSuprzCsqIwTFauYb/Q+eD8abbxRUsB+chrcLorIjuqG6CRlizLMCpflnEbNi5KVmuBu\nRuuDp2SyOLfblZxg3xJLo1Umq4S52ydFlEtJ+BCeS1ku+IyKvp6LHSeijTml2P7nxRhCn6HFMg9O\nBDIYo7OGA5mcYcqI5Vc3UjoTMiWxltPaADPqdlb7EcyEMQIgFBnwxBpg6rhkNG+wlH50Hu17PCWa\nxUs0kAoHyJPug8ZipnmmFs5atipaEmKDwTtqPaJoXskipLTYEufi7bxpoMxTxmzMgF/1wfKAfwV8\nLcopuIYYYg7WaKh20CDxWQqJ80oD2Wb8/ifYdsNsUPYBszCfjnXQVBFbzGXkWuPvnk5OiwSOVzVG\nXEgsBzlhXlMh+WmjWpNFiUWrcZ56W7B7bOKqUZJTRbAAbC1DJtRUkbSFPmx1Ms4aAZuzEaf6WiLi\nq0kRKsshq5yey4EAqWRy3tj3Cr5RZrQy98tOLRs537hcrmxbhbV4G29RykkJccVsxfjIjHY0eg8f\npqbYtZRyek/XIFvcfEQipaInyMyJEo6dMpjFQlKm7koIqE9blVbySuFqlXzyUP6/v36tH97xQQ6Y\nS83CdsnB0LDOnD0+XJJJ+41LvpK1k3M7LdLhlYuoVzS0hAwl4n5jLu59UqxhfYSVxBczKa5hNMnR\nnGERQCv5cqbzyRfrtS9HMJI6WnakVLIauWSurwndFo/DkZVZ/cqyIKFFuiKWKGN5QHEuF7JmfF6Q\ncoO8Mecb98e3vL3/gIhy2V8oqdLGAtcYR6TEskaucQou+xVUz5qwMq2jOqjFAtC04kSlqaIa8b85\nwyB/PEICK3pBViFTGLPTngdmTx6PB6lIzLmzUzQHWlUUHe+kAlsC9mBntAG+ogKfS0FzZ/mKhZhF\nbMsmHM9IsgiNReSH3e0ksAWvmRM2toRTjFCCtEcsq7LGB6vWQq0BQOrdzty3nD/DwKyuFRq2YWDL\neD5PIFiCTgvLi8NcBhpQ/zHjAZJEz6jbjFSwxsLMIWQBC5IWbtcLpRpVnsx2ICPsNUtC5OESnPI1\nog0qEmwNOYtMILF4K/Lj915VySsae4JR0kYugtMjIbE5mojUhkTqw9pEOefFOWBNeHC8NZdA2s5I\n6SCngMSd3ozRA9A0RxxiXi879ZoD2cpE8gW5TYKxFWObugmmccO0PgLZawYrAgAlZ3I2VMJU1e/Q\nDqGNReqGqlBTaPemKeqVWiqWBqwnLkLOO3WLER8KY3qkZRRGNw7pbGmnlp1LfcX2Fakgiz1XHz2o\nmZpJUtH1CJ68LEY3ng9HNeiSkon9FxqL8ZSQnMBPMYx53H4kkVMJvZoK5ge2WhSWJMfv3P+P59+v\n9cPb/MG0sDfHyfmspouTi8eDRzKXfSelF8QOvNupKIs/Y82IneExeztG4z4HRzOOPvhIB7Voy2F4\nSpAy6uGyi+udsLLTUmPJD3RvgVetQslRuxUXsob3sJYwjGQ3nmMxx2K2RZvxoV9ZI1onFtlPbaFc\nSosl0a7bXr7i5eML1hfvj0EfPw8gl72Q85XeAdnZMHLeMAbm52ZbI8mR1Eme43MvsPmVbQpzCk5F\nJKQGP5IZT9HrMiWRuewX9Cshp8SYoX56+/xgmEMWUs1cK/hL6Kou64rYwLWT06LWeEnOIYxWo+Lt\ngBs2I05ow2nPSXvG1b4mQJRlxuxxtfd1ljpUT45y8CVyqtgc9HGc88fMpe5c94qkSWv9pAsukmZA\n4sSV7BwbGN06bcBxDOaYgXGdD+ZqgQoosGScu5J8Uv4KWhyXFtovX7GYShslb3Cyb+q2U8o8F4QS\nJnVx+gCWoaqYToYfuBDJkHx6ID3axXpKkXMpIRSpiVJKdBZaMMXzlvG0MQbMNijbCUWawrJgwGgK\nwFotQZEc/ckxI5funs6RQpimfMXYwl2DydNjt6NZ2W6F27WgOhh90mdgim8vF/aqIIoW55gd74Qs\nAwl421ioNKQUpECugAidKLR8oTummkjZGG1w3KOAtW9XLttGKSGV1lwQTZgLacshx+iN+TywOXjm\nAxvG7VJJSbndPjJr4/l4MMYDsxE3mFRJaed6MTwVUrpiC+7vnZwqqeZYwH6xDBF4B7U4FIwRt1Wz\nGNRtW+ZyvbDtysI47D2im56Zq0cuX38D0iZjemxu+2K50i1OK74m9RQs2JqkdGfLkSUe085T2wQh\n4kd1nbLdxZwHrTWeR0MptDWZ1VnFwQydQfNTdmq+sjs4HWGi6474oCZFuaB6oebT/uLB9ZD9gpcK\n9U7hjdtuPCTx/j440icuNXMlsrGWneaDOQ72dUHMaONgOKB3Lpcb1+1rfufr/5rancfzBzRlmh/c\n+UTvGZGfkDYl7ZUtvTKa0nrAscp2Y9teUCJYvWyjlsr15YVy/UksRPuT9x++4fPboBmAIlqCd6Kw\n1wt+mTzvK2JUZaJl0gasI7FkYxwJhrBypRKLnWkj5owzOBqPcyehORgns69TfRUz8nB6znjwaWTZ\nxzDqlkh1YSOAWUiOnK0kskYD8DieLBP2Sw7JBgW3BJ6AQVuNYZ2nHaQpbHoh58VYA9dFWgm/B799\n1s5axvSBZIEUnk88kasiRVh+7jZynJZ9hVXFTzzDVivqCXfDrHOMxbMvbDVYC7crV435aLdO98iJ\nFw+6ZS37GZEUrE9GH+eCtiBSyaVQq7J63CgBhBrKvyOhPdqxXm9kyZQsMeNngG+kVJGLY+NJa0Zr\nxhzxs09VTy7IeQjYBsiXxqfTWmMzodRIVo0BeVW0VMoWEcGSrpR5Zb19xgVqrZAr9uyBWC6QSliL\nZNtIt4D1qhbQzPCEWAESSe7YCMDbdtnIO9gMciESHJ+iglZnuDMP47g3mgzWHLRjY7/euFxvqC5y\nFvYa9hxzQXPmWitmBfcLSnQd3u7vPMfB5lcysSsQghNuXYOLI8a0yePeeB6DuRaqysuHV64fLmh9\nMNf3jPnEV2LJhS0pRX4DHt69nQjMEXzs2Q+MWHJAZtN1/gAfwbjojnU5K9VGqVBKRIHmhOf7YHZB\nVmKTYBQYMe+a4yT+eRi1U10xCtFgiZWtUC87WguuSkkRP0y2SOKYLyadaJZlSCfgfYN8WXzUC3Zs\n7GUnZeLP6Q/yEpYHCD+xYmY4GuPtM2O7Ur76wPby24gY9e0Hej9I6wGl8v72YPRPXKrCFPoczPET\n5sz0OXFtbJcNzQvtGbftpJxdKXIl64WpsQwULYjlOHmdSQE9W+busRDD4mUpCrf9QtIrORVsDmws\nuji3S6GUwvPoPJ9Rb+cE+ltKSElRyOjxcxU/cz85Hvop11PEG4hfzScjXf3M0C7Waujk/PvO88Ek\ncZNZi/uzYTbOkUoGJrM77h0thaVx63KdUAZzOTYnPoVab9Q9JMaSBKyQydHIy05Ksaj60pELp2SB\nUqilUmsh56BPjhF7hJTDDmM9sAjqlZwSczasL+wQ5li4NKpn9lTZ9x1fzjEijeEd3FPwpGtFc6Jk\nIVkA0twFmcLzPmkibPkjojPod6lAiX3CmI+4eaU4+Scxmg16Xz9ac/I6bTAq1LJTkzKy8+wdZ9G/\n2Ko0kWsLHbEoSWuMIs6q+n7ZGWbs1xtbzdT7k9ZntBfhJPtl0rYhc+IzYU2xNhlp8rJVvv7qtzl6\n7AKOcSAep9hE2IYKet5aEqyNsjsXMms55srj+NKGbqg7vRfmyel39xNolrCxM7uzxmD0gSzFxuLe\n39jGjdttC/4JT6ZPehdClT0ZPOmjRbIqK9/98s4Pn6G+Cmk/AWmiJH2gEpLrX+Xr1/rhbZ4CkPSc\nPI6O0clF2LbMmILMwEfi82y7Zdw3QM7rpOM5aHBhPIl6ekFjLovzPv30FJ7XmeWxkZ6LKUe0xRRe\nakFSxl2jHShRWFB31jlTX6KkHKaZ1Rs1TWRL3G4vsL2QbheyB91wjM8MDUhWwU8TCKSsPBbcP3/i\n79ri8fnOdk0nZa2wVkN851IK+nrBbJAzXK8F1oWRM6sZbT4j7WKvXG+vSMoc8kZrB/f3X/Lp/XNw\ny+fBbJ+Z8+As4/0YdfIcmXjNiVIqmGErcq4qX1CYituMmbkTm/wMa2p4OFeUb5IVZERcTSBY33Od\nVekvdMiCpLBs93EwjsEa0RpEYxQxV9TEzQ/WKqQUJSvNYaufNhkrMsmBGY3M+SVv0aybk27vkYbI\ng3SNFuvrx8rbLw/eP38mfx3jJxtKa6ALLnuiilBLwreFsWLBuDJKZp4jPVVQWTGuW/2ckQZjfE2B\nCTmVOGBMRdfGJoXkZ/54VdQriZ1cCy+Xr09WdIwPksZC3nv4UOcpDHB3khXSCVMr2xWXJ2oaNwqJ\nJLzaDAJgkjgEJYi3dCyS1wopyPKJScg/AhUggV4tisqXmnsnlRlpH8BFSSnYPdNASNRyIZdLcMvz\nRCySW0kVxeMl7HF7HXay+VnYnHRVrvXCdq0cfXHvB+N4giWq7Cdb38/bSI3dhih5u6CpnKPWGLnN\nOSipguy4JmJuaUwWLMF0Y/hBOxqfvvuEjUkqOfgkCKKDWpWcHLOD+3MwXUnVmdIwiRn+tlc0K8Ma\nvR3IChjbXANJwUW39RuAhG2H83waj/vgeTTQAUS1th+DxTz1Rc6yHL/0kvEU1xcRZ9qg9RnxvO2C\nboquwXwe9NYZLUQNJI0fvjmShLmc5/PA+iDlhJTGSgXPEeIvCWqO6i8ySSqUvJ1llEZ7vjPWATij\nO8kWPgeqyv3zM5ZsOYEMkl/59N3g59+/8e33P/Dzn3/i/XPHXCj7zu/89k/5vf/iK376k8xWLTKp\nGgb5ur2y76/cXl/IRXnc32lv31HawptxvDUuqXLZg+9weKf1O20afUTetz3vqMDldkGSs1awx4Vg\nXgthTpdUyaKYWwC2FFIRtISwVuZktM7oi5yclDMiQV6MXHxs+henmNgW85y1Vwmo0zjJbs9j8P7s\n6DxOXKfGz2omXJRJqOYS0bBM4gwWazxhhQg4WC+Fy+1K0Q+Mo/N8HFiCfS9ITaSrsl8rehWyfubt\n7Y0hkfKYbdLvhnihOPQU8bn9NYTVY2Xc4mWTHBKZLBtZF13v+OxMl6ABIqjGjNno5Hwjlx3WxEdH\nxKKcVS7UciMTzPTr9UrZEl+sLioxxpv9M+2IWvlahAYwVW63nWETyQprR+bCrNMJJox4iKyXKsnP\nl2eGvCm2IJVErenMfPv5co6lv62OeoDP5uj4GqSyGGas+SCnLb6nUZiH4kOpe8Hsi/D69LKeEUld\nGhn/1SgFls2zMWuILOYUusVLRMqFIsLz/uT+/kBWJ9litUnJN24vr6SqzGGYR48gXjJPZm/I2tDr\nDYDFwIigMGuFYtFz3DAl+N5zDWqOQ+AYbxxvidvtldu1Yjxo1jEWRYTpk4lEkokaybJ8pdtnht8Z\nHJgu7j0zbcTO41f4+rV+eD+eneOYjBlRLyFs8b3HtTXJIlkK5q7FSThpXFVziuu4adjKzQRJM4oO\nAm6Tfr8z54cYESC4tZCoEkF914ymSDu0bnibZN1i00w0A5dwRgkTthLriIKKZ0Vnwdzo7UGehY/1\nxpavPEeY26fFCOevv/2e/+Pf/w3/5t/9R7797gdmHGNOYP3ikgp/8Fs/5V/8d/8V//wPf4ft4iHa\nzcpxNGreGLZYOuh0JCn7dsNlx+bk06df0J5Xlg9ac8yC/7KXStfB24iTgaqQNZACJou5onHWx4xs\nqmyo5qgCL4BEyRu11vhwtneez+A8G6EIkxUP12nzlDkrSCQYROPU5XYqx2ww1Gh98XgcoX/Lei5q\nPUoyEOS3szG7pUgmZEkw11nBjw/frJn61ZWab1y3DUuTWia6V0reWCmh1zP29TS27Xf4+refPNsn\nnu3gnSdpNTBIqeF+LvM82CgiwqKQPGrsl7qx5QpynObySZ9RbqlSqC8faDJwS0jeAxzlHX3GDSzn\nyrbduO4fKVvFXTmORetxO4llZeSdNWfKfqH1e/CxLX52NcWizNzjFI+RysI98+ge45EUfx4aN5a8\nK6SJntC2XDzY2imzVmZ2AQ1X7LRBf/Rzp7S4bAXSZPqDMQ+KLegX7FlQU1g9oqjeWWsEbiBlci6o\nxw5q2TjBVgvSOKW/Tuud7z+/Qa18+HBj2z9QZmc+QnSgM2b7F1mUuai5xgvbDLN3hh3M8Yg8tlxI\npUfZq0/MCyoZZ4YsIlVqKqw8+Pj1K8gLtQYP/vFsvB1GXytUb+pojcx3KSDATLHvt7nofXEtO1+9\n7gze+OH5DWZ3yqqR3Dl+A8YmrXXa6HEKPIWx6obNOB3LKucv6BbCWBf6bKzVg7mQUvwLmGDT4lTm\nOU7PKaF1R56BgMwpuAnuM2A9I37BrrcrpVQkVyTvbPWFetl+nAmmtbD+TuvvzDZiaw/keiHvF3I2\nEge6beyvH6lacbvz/Xedb76/82c/+wX/9t/9J/7q776j++J2K+xbRPTmhGkJAX7x/uR/+Td/yje/\n+IH/9r/5Xb7+ST1Z1IL1X9LeHjR/ggo5V1wLwyKKNuzJeA7GODjaAxHhctkjJnbC6tNaUcZQyFJj\n7m2D1htj2I9Z4DHshAcJwoLLl1ZaQuzO0MVKp2T1lLw6ztQTU3rOjjUJFT1VWbCOgHW5CEmdXBZq\nfta9I7rmbixajGN8QhqQEyldyJoC70uhDaPdG6MdbLUyrhcs18jgbhmpV1RLqOum0AesQ9nzK/v1\nlX3/wK0/+XBr9H7neHzmeXzCU6Nsla0USs5MIyJiI14q4sLsoeM6njMk0yb4XFCckneGbizJ0fLb\nKluuVITZGiKZnDJIxpaF9u00OuWcuOw7+14oFXLZ0bRo80H3jnsG62e9O5JZWTc8zUADrXiRtm54\nMXZOxCoBaUsaeFQ7RzGVEl0AduYKA5FK/fHfzAyUykal7CMUhSPSO8kqmUJJQYKUZcwxsDUQBfcS\nzUSPqOhajkom74rUME+NQ2jPxXv7hI7K8sJlXhlrhYdVBa1hI1KEYzSmK7fblf3ijHnQ+z2W9eoY\njTEHthZjwFo1cu/naVsJKudahVwTOcdi2qyx7cJEEJlBrEyDeom47VYTbIndBXumGB2OQXtAyTtl\ne6HWg+MwdtmwOeE3gSr4HAd9hiKqqJKLnsBzSKpsaWcrOzUF9W+MwTEammLxldJG1krOjeRxGlRg\n2sQ9kcuNVDrTJjVnSs5EvXsx5qDq4PrywscPX6F5Z3jwJnLe2C9X9u2CmvN8K4wxopAg5TydLFiJ\n623jZb9xzMwxDt6PB2/f3vl//u+/5H/+X/+Yv/3+yb479Va4lo2UA76UJGFzMm1ASoheae+dP/2L\nvycV41/8y3/Cb71cuFwKmjqzP2njSd52trzo853HO/SWz5TE5DmfPMaTUipbCpkEMsjZEcnROluR\na1dx5gql1xwSLzCUOY3eRtSXafTnEXNHdXprHCOWWlsJ8etaHlYbJo3JWs7FE1kzSeL0E9fbOC2G\nFcUDCgQR7SOy/orR1gBiPFV2Q3NYipxEue2BV51C2YyowNw5Jnh7hAjADB4bVV8xKUzxWCwO4ba9\nUq47OQs5Xfjq5RXxj7z9kPn++05fM7jf4yy3nDN0LL6v4zkZnYhtTkdd2XNBPJEW2HMwD0VrZa+F\n23UPAcg1MdsRjVSpJxd+nYjhYESv1emt4b7hXsilonlDcwl0rAHYSXAUfBoj7VD2KKbMCUNZHrfW\ntTxYMTaZK/LtrpGvnxaI4JwzrEQbxhjBzydH/lo1UeQCE3Rl9pLJSzDP6IJanT0FaXCJoJLpS878\n86KNxvlpC2Cc1DMq24L/kXfK1XHrHO2dT2/O47nhGZZmctpCg7iE0R/09kB5Itp5yYrrgDoRNXxE\nuWg+4xY0euwO9hzcb/eFinO5XKk1M1YHFr1FAionZS8wR2cehmcjpSgOVQ0u0NwWj24xarPBsz04\n+oPtWpkpIWs7Of4xmv1Vvn6tH96tH4g6Ws4t+6ZsRc4stFBSJosQnYKFeRjSNckpGN2oWjBt4E8W\nE03zHAskqEq+dsbTw26tSqnl1G8RMcAEl9vO5fqBPpx7O0LNNWFKVLJ76/iErIWUMu6N1p/MR0hN\n/eOVhPD933zDX//Vd/zbf/83/J//8Wc8bXB93dn3TE47KWVstdBV5T0s6TMIeVmF9BJzxE/vYKJs\nr4pWpy0j93sULCTSH7O/M47OOAqZK4dXhhtSBamwkuGaqHthqx/5wjrvs//DA1PP/wkxly4bVCed\nbdWqGbdBe0z67HEKnAfblrjmCzVt+IJjdlp/j0WuCGXlYKPLHmURH0hyyg7LJWQHxbjdEtNgWmOu\nQS6Lo4fNPZXMfk1cqzMeympRgtAs1BflknJYbvKdZk+OxwrzzxykUin+W2j6mqVCtwOdC58PNn+h\nXm6UUigeQgyhUtMtWo/H4PAZH0CJfUtOgq2I9NmZpy5JQQt7/UC2DRkzxoBilD1x3bdA1epiEM3h\ndNvQ/IFSP5BLJSVBdTLaJz6//YL7/cEcjcfKpHxju1ZSviAy8AWpQKkNYdJWZ8xXtvLKfn0J+FPp\nZBZWonHrU1nTGNaYGnPwZYKuFETI1bHWub93Wh9IXSfq1claqGnnKomSjbwpbJnRJu1+wHpGTt0L\nc4ZUOeVMqoV0Vsl7PwJKxoU+w5c5veFrxQ1JHZ9G98E6nvRhyBI8VbAoUEmP5WrKC9H/EFQXAAAg\nAElEQVQDEzhGYTHDDSudIROzxOzCeMLosG+Zul3CEWzGGJ3HXdEapNE5J3PG8veLwHuZcwxnJSdd\nAlcNitsWEUI7Aqk8LQ4zz0l7PqNctC98szAZyW/Aw1vE6cdCmdRNWJ4ot1f2/RIAnxkMkrZ6zMLH\nZKweZm9LLBFcnLzCSTgsCG9JnCxB9Ksps9JE10J1sZfEniPY/6Xo8mwNKUZaQl2D4QfraPRxZY3M\nPOZ5vTXSihn7GpF2mM/EkEVvB3/+n37J//g//Wu+O57kuvPV7QP7FuWRVCopF+ZI0X7UwtTw9a21\nMIlqvxalbAWbF+7vTqk9rm4r41JYVrHeGI8RSIFSY+4+HlGGyDliillZWdjyjUve8Wnc75+wHm3L\npf20m59c5Jy43W5cLzvP93faHJSSg+kwB8sOzI9gPuedlSukisyF0E7Y0EZZKdI8p4swqvknjY6Y\n564Z+V0N6iuO4l4Aoyp0G4CT8iuX1yuXG9ixEItod8nK5mB90tcD5iBJcLMl1UhbMEDf8RTpCdFM\nyo5yx/xOWi+0p3PYpNlE951tJWw0sE5/rPMEGauvXONDmSROpV4rST/wev0pt+0af4dP37PSQdku\n3PYM5/4Gj9HVdb+y1Y+I3CAXLrcb19sF58nt+//ML775Ge9vP9Bn49EmppdTZ5dZ2lhJkVLOZrFB\nGyypkD+wX+Hx+AEdI1qLqZK3SikXpBfu4zO9H/ShZL+RTBnr4PlojBYz+cSC8+dSkgb0KQleKqof\n2esrSw/y+IH2POhrkuakd+P+6HjO3MoHRK/RSjwGsw1Smbh8jpw/kySZyXtU9PWA/R0TY3VIntHV\nGOOJTyjs1C2WrDnFYWvawTGemPczPhr4XiXDMsbREe+MMc6FbHw+xmjRrtYAes0RFXq0k8UA6MeT\nvg6qK5CjADYn4zl5PBuPMZGk1HyKKKxjawSbPAlp2xhz/krPv1/rh/deJ8knm0y+eoH9tlOzUFKN\nijM93HprMG0w1kRSVJWNJ4cFPnD3zLLBMZ8Mn2wpzDjhuUvRvltE1tfjH34/Qey+Fvf7nWnCJRVg\nnrEtjyLGGqAHKoujPXgux0xjKSixSb9/3/jLP/uWf/W//z3f3Q9efrKzpxeSptj6n/G5YC8Ukuao\ngEu0G0EiU1sqSRbHNP79//XXpP/Q+P0/+Io//Oc/ZU/h7QuVWkbWRs2JpYWVBLGO9YYvJWdYJSGy\noVoRrSw/YlM/g8JmPjEZZ3yxRLVcU0Dni8EauCZEK6kkUgdZzlzOsCgvmNRTCKuI7+QEpQRhzlyw\nU7Hl3k+ed5hapoc2zldk7LMmXEZorUJmeTpCd7JeqBUkT2ycVL4pWO/0Y8RySUPvlnNF9BrGkzNt\nuzxIeLXslJKoJx5hy5msndYf2DoQTdR0gZSwpczZ6cfB49kxIBUnV34sj434m8fpdP8ANngenb0n\nUtlIsmEjcRyKJEWTBFpWBr7ujEdijkVKlY8fP5C//kes9pk1n/izMeakPXvgYOeKQtAy+uQUPEMq\nxlydZxvYMiaRZ58Ok7i9plRQqacuLUpBs7c4IUucQIFICY0AkKWTuHn0z0BlcSOcusHQXuWFNTNG\njzaixNKyHQdyz5ACS3scB/1oeFvI5lAthMESSgq3FQWmNYOzcqrFcsyS4jOyzgWuhJZQRYMqaosx\nRnDQydSUqXUnT4sXvZ+7iKyxq5ihjZsEepm1zm6AR1ZUI/qYJTFF8SW0wzhmJ81A0/Yx6EePOGVK\nlLIoNdAaZAnOUg6t46/y9Wv98P7tr5TXj85PP77z1cuT0a9897Zx9AtfMq8hVzgYqzGdc7EWGikz\nj8WkFBIDJ8A5JjnGGymTigTVbJ4m+DlhRUZUFgw3vEdeU0pBU8GJeuxYoZB6Pu7YGKcAd+GMsNZ7\nYi3j7/72l/yrf/0zvnsMLq+Vy/7KpntAhbwTlIpY8u2lnjG0sHgHf1zRVEhSQYxHO/jul9/R7k/u\nz86Hjxf+8U9fmGPAHFzyTkpXUpo8l+GFqMrPyZiD4zFhGrILVKfxYLYHz8enKDvpgBQ5ZifCy8c8\n6N9/Ty6DxYEUx4hquTpw5m3dIqM7x6Bbw2ewJNBCqoKUKPy0NmjtTC34gOURtdxBsiJDWUtIWiNr\nmzruAurcys7t+sLtemOTRP6SXNFJJ6r3Y/QoAZULrByJDISUJRAGNTRs43mSJTcPboqGcHqyID2Y\n4zNrDlK6xIIrRUFGcqHPhR4zWDEefQPREawRV3SBjcH97cEcg9GI70cSfYyof7cYGUkCSR1bB0md\n0YXeYn6NvYB3xlScjEu0QO0RhD+3SRYPx+nhaAnVmek8H/aJ5gdtRQ4/reCm+5jMkc50U6HozpYG\n3YUxPBzDEpFb5bxVoKcBvjNGY01DKOi4s+5CqXGLQiOauhUoJUIH4/0ZO5IvBywxPIV5x9pE1yTn\nAdlZE2wprok1EtZAXdnqhb1m3Hpo57pj4/SD5hAFZ8lUzbQJNhYISA3PbEnCZa84OYiW00/ErONf\nOP8CmpRSNeKDDsokpwIXYn+RjWHhlGX8gxoupRzwOTPKtkINV4OIiUP2hJb6Kz3/fq0f3h8+wO/9\nfuUf/65wycY33xz84vNner+dZZyMeMKWM6wzp5AkeMUukWFdNvEcONUiikm89WKdFZxospBywYfA\nipm5JIF0aqhQsEY7nrhWimZmN7759lv+4mc/8OmHB1st/OTrG1//5Mrra2WvdlL6Cn/79298+907\n28cLRQtOPWW9i2Sx9U9JYwlUMlkV83liMPWcfcaJwlH6SAwfeFL+7uef+fM//8xX+5WUBJcZKE9V\npjmjD6bHh69IirKIGfN48pzCSA9sNOY44tS6BlIC8oPE7Nu8M1pjPJ+U3bm+ZMql0NvgcTSyx4da\nNaBcUSohZL3DAuxVatjFdUVDbXb6WODCGkFnY9doNsKPe4d0voyXBxY3V+F63fj4+oGX/ZWSS7C5\nZXH0O8/7QfMnNh2L42cYVuZBG09cO/AV19sLOcFoAzfHV6ebMzmQXlk9kALT4mFzDv4j2VT3INjt\nM2bGw3AxVFZwSNIZt1yD5/OdezuYPXjjeasgMPudPp1wHcJ04fFczKFsJxFxrcnb58Xz8QY0+mi0\nKWdGebFmIGO/wI7mCIlGiXYNE8PHAbWyMkxiZJVEyFlQmdiMtqt5RrSy5UzahTk4wWYgZmwpvi9x\nOB6NNhqBuFEuGeZq3O8DzSBbQMiC7lhjlzN6vLBtRXdiE3ItP8ZMn+2NhZHRGD2aM4YiWkMSbPXM\n02sIHVLBNToXbsaYE9c4qJQaSZZEQkls+YXrdotFuEWm3JHY19jC5ohWrBhLRkhKcibXiIUuWzCN\nLKBbRn1jSkDTViJGVw7bdiHvGuYfjtOBGUEI0YIdipqz1d+Ah/ezD+7PC7/47iNiG7/4hfHdG6z1\njOuzLboN2myhqPIcvOxzAaZJSBIkt6zC1HLayiPH3NcBFlcuLTGr1BXcBSknH1nTSRSbzNGj8Ufl\n+2/v/G9//Ff88Z/8PIw4JfFyqfzu1x/4o3/22/zT3/vA68dCG0++/zRIVShbYQwPPkcWfDpyAu3z\nFsLbgOHbiXAVaq7sJcTCEdMKc0yuTt0S/WH8yZ9+yx/+l1/zO/8oKGtpDyFv2KWMeW8gIWRVDVNP\nPDQ7rR3BXrARFXabLFsh9z2NKCnupCziF30Mh+Q/8keQPco8K5jguUSMcp2YzBgFDNwypOBXu1uo\nsCiMlWLZN5XZU3wYe2i5wt61IhlD/BvWrZ7kwErNF/b9GkvI2dH0TpIfgITrgzaN2b+cxg1jctud\nlHZKVaw/AholEjczNbYijOdgNhDJbCWWZ30euIGYkHLwWJLKedIKIqC6Rp+GyegW3JZewZSaL9Sa\n8QwnNJ6VFmlLcRK1eKHF71hgSM0TTkLFcZmYC46ebUdO/+PCxmKOSFGpb3GokYnPc1+Tc1hx1owF\np4RYwdZijUiVeA6UQtnA16C3Ru8TXU6isHk0MWMhbixy/N1VA3VrRhsOM7HtlazxMlKFXJStFrxb\ncLxXjC5L3gIOpXGbKLkEFqAZYglWpUihpOCXj9bossjnuJGcT9O7cczG1M5+qXE8diFrYd9euF1f\nQQLxbPYPo88xJmbxmc5pkTSAZeJC0jg8LAmBi6yFiIJWZMWhsN4KvoPbWUBKQhtxsxQHHTGW/ZFK\nugKp8at8/Vo/vL//lPCc+OaXN7Cd98fBYzh7iRmcz0WfMc8TCda1G8xjYTIpBS77Fj9oDcBmHOE8\nfqGSI6Uwznp7YpGKkrbYOqOxNP3C6rU1423dO998+5k/+8+/5O9/uLOVzHwcvB13vv38xt/88nv+\n6V9/zf/w3/8Be5nM52C/XVhJYGr4AtdCpJD2FTLclOLaNqMdWksBFS77zst+RZLybA9sHmSFfSuA\n0o/F3/7tL/n7b77nd//JC9vLRs4VW0rF2UtnHJ94zljelpKRrPi0c8Yfyif1MGuLZ9bsrLUCeFWU\nnCu1ZtI+OWwy+8GYGqiBdDmFEMby93MpWFgIfXFSIE+MrtnJ/Y7Tn2ShFqUW5akShpJ2Vsutk1OK\nk9AXUYBubNuFsm2gQp8xGhkGZYvG3DT5ByNKTjz74HjErUIkU3KiUBHbSLmwbU5fPcorGnnqksB7\nOChFYwchMoG4mawO9BFC4qMxW3yTOWWyZ8QWaw18Or5SCCIkxfdaBXIswrIsxgikaDyHHFZjjY6N\nKKS5BygsJAYT12ClIMIqGotqM2yEZzSKRClO1G6w2ml3yazVEZmkNM/dAvRhzL4heg0ccbJgx6iR\nZEZO2lPc4uaiZCglB/nR43SakkSZzRcyTpPScMYR4wdRBRHqVkGcpTGSm92iXVormYpLLPzHNLAg\nRyKFTEVTPotf4xyFhBcy6YkE0IRJxzxEEV9y9+m8MdlaES+tG7hF4/eM7pkJWULL5ylha7K6M2WE\niJlI4IiHWAQJc3whU/cbJZfzkGLgg61PjpTpx4JjxX8vxTPEcRr9V3r+/Vo/vKddeLsr5fxFfn9o\nVGxRisTJO3jalfqF1qVO88RzPGJuXEbkfV3o03g8R/DBN6XsG5ISrTfmmBR1trRFBFE1Fjw2sWFY\n7yzrKIF//O6Hg7d7YyuJD1WDtVJgsvj5D5/55Q933o/BH/3+7/CyZ/ZL4tu7UbcN9YbYRq6R4LAW\nH7q1InFRckFzxlXYSrCMp81gI88eL6P9Fp5FDyTpn/3lN/yzP/pdXj9cTzxlBkk/5oRtWlTcS7zA\n5hzMPoPmdkaX1ikYSJxxQwwWJLMfcQNB0Yu2dpadl/qKJKPPN9wjbz1XSBr6iEzwprGkVIF0Sm6/\n/DdrMqSGKm0OZVlov+KE47FfOMdJmjSu4lWZqzGeB3NAko1UNqat4GbbE9VBSsJWC9YHa1lELutG\nXoodi5USOV+Zapg11nB0FFBIush5RtJn+Ck0rvF9aMWm8Dzu9GfMXVPO4e9cObDEI5FcQjMnGTdB\nluGzx4l7vZ/JmsXzcDwr+2tlqxk/Hw6y1tnwXYwZy0YtATBzsfNhAedaglwi5rbEYjRmA03Q2zs+\nibEXiXJqyVQLX7goilJkYzEYq6E4l5qporQeyII+Q0W21cxWAcmBXl5yVuuFPWncrHQyh0CLpjLi\nEfHNEe1dYjFKOQ7GI3AKookhM0QVdi7o0x6jRaDUUBkGViEe8HpGhctekM3i/5fLj/8uywWbT97e\nQsa81cJed/D24x6iphKNT3WmLax/cVfGSdxdqBLFnZzjd0PdIlZpTimJvG8RwbWD2aBi3OekHT2K\nRUXxHC/p3n4DooK1Bv86pRL6IHNsnUZ4CbCMaAgBVAubJnJWtryhTXnMd/qcHKOx3Hh7NI6HkwxW\nz2xzw+RJOxpoRMySC2mBzDgdzVO8ajN0VFqFIfD2aNgYXDYiiy5RKsmSuO1K78af/Ozv+HRv/Ms/\n+Am3W+UX740kMWKp25VSE5eS6RZsa5acvOuY17vrqYRylMi+OhdaX7Q+w725BmnL/MXPfuDbb9/5\n6nWjJsMR5nryaAcDJ+f4sMbSKaGy4kToUVxyQhSbJFOk0Gc0BYON4bgMusXJIZWwBmUqaXkwodfE\nOaFGM2TCRibpWeg4mRZfFjsuoZ7zCSkl9i1jOVIcY3Ke7EA1U0tFswSbWx6RhBnOOBarCUk2VOMl\n3I+ws5QKpBg5XC43tJY4QaWEj87xfItI11YppbLvLZaUFlLjJAupcTpcNtG5kev/S96bNFtyZVd6\n396nc7/3NYEAsmFTxZ5SkSWyRFEyk5lkpol+vWYylSYijU2SSWaHiHhx73X30+yjwfYAp5hIZjC+\nCSwBJID3nt/j+6y91rcKSRdSXOkaaXLz6zSnpdGg7tPRBj34EloNjYaY0PYdoYF2hh4k9Snv2Dtd\nFKIDm+ZQxsngljCx6W4Nr+PxP68R6N0r8qbfGDQWmk3qCPQRvKBXjMfj7lNm66QZ3aYZMzEnSjJ6\n8mdXAbVz4kdJeSVGuIedR938+YiBNRcHiYm3q3/+PKk2uKzCZRFicN7Jvk8e+2QfgSnz5NgopSRS\njiQGre4cW6OdLx8Ncla6qadtQyJOh2jlRUEG2+NMMs+T3JgiKUF0bqtXpjQPGoH48FYH1iBJdIeJ\n27v8d63nQDB3tm2jH95vG8Mp4bXBUKMUQ3NHpaOhOeRsFzBjjU8s6xUV/+zPUBnFO2X3vZFn8epB\nDdR/D1bBlNyBkMXTSWrOscjRnQUd105D8FCBP+BKKoFFMm2PdJs89p0xGsfWmT2impmm7PfKPu8Y\ng2Upvuw0ZTSH9rfp7BJzXB6C69+9DR7bwTBjeSreztLFecrDs4ElK21Ofv7LX7Mo/PQnL/zW+8hR\nIaYruRRfbJkvrCKKmksHtTdm765T5uzaffKJcM6Dx+PB/bE5hyUqMSi/+Xjn09vGvu3M2DGB2h7s\n9cBQ8rr49ze9+Scl1/PnSZEXcfxt0Hj2Fzo60yezM+Wn3kaUQiaGBRm44+B0SEQpjAHNmuuEGFE9\nsBJEnZM+Tyub46noPTDVXT+oS2A6/RbVZ0d1EpK3xXfbqceGWUJbRHomy5UYfYIc0392bRitTn/Z\nSOS6XijLM+Gk87X64HjcXFO2J2IUymUhy3Q/ea0IgSDGVAcwzWmM7gCofQyO/cF23519LQGRyDgm\n/TiYE/cTm6NMZ4EgXhgwLfjOJalT6wKE4jdIG9XLlAf0bh5Aw383FrzubkhnyHSmRjgXu0wCgRii\npwmHB9Q0+zLWumvv1ow+hd6D8+pJMCcxgtv8OIeFSIgLKkIC1jj9mbJGSEJZVkpaXHrZjTe7U49G\njMqygpSJmnvN+wF9bwwxfyFxWl9POS0JTPXgnJg667sEJ3h2YY7hNtPounlt3ZHBKKhh0uk0ty+q\nXwlb78yqiLl0FkMkacABsoPRmpNAR/cDnODl1V0YrdIrlLySQgKJtL5z9IpkIYqQ4kCns45am9g0\n2FwGdEyAGyXUGxyotSOhODVSPJn5fb5+0Ie3EClhJZCxuiMWnOugDn8agqMqxaA3Wg+MaJxH+Zk2\nPKijgkGaDnsPIRKC806QSTotRoJiXWkNpghDE4PBsVV0DJaSSZaRfnfM7BQWCRR1uNKUThfDzFtQ\nsgqhwN/+4lu2fvD7P3nP67sru/niaKIchmtieL+evyfMLUzgJcM5IaIcR+ex7dy3zZ0A08t0c5pU\nazwex8koPvsRR0PFk5HLshBEGc1r4kQiQ6DZwKZjW1UECeqOhJhOfVDoo9HHTmS4dhuFGBUL010U\n5pVxNgJHg2adGYQcg183xROyMidqA2wwpGEiIIEoCQ1w9I1RB2kmciiQjJmd2W7nQd6t01pHj0AZ\nkZIKIRbG7ERVskKfw9GxR6U1haaIKaVAjB10YH1w3JXephdZXCDFSaBSe+P8RTD6oM8K5jppPx7c\nbo1t24Dm3xtOsxPpDDs7LLFTe4+YNNDBVJzLQ/AWGPU9R16FLKddUP17NRHa8D2Et+gEbDRqc0yu\nqN+XTAam0/3MlhhdmZZYliszCeNRmXRqq2wGw/xwniPTW3CAFWcJhPqCOObClOy/R+uEWSjTKZSt\nG7Wbe+JTRGxnXf0lr+qSV1cHmEeFJQjHd7sVJRIIAqM25qiEOVlDoHdvah9BCSX7gtKC6+K4rDYm\n7NUYw286SCeU4djf6AMHU7z2cHawCOb1eCFEgioilX5stGP4niFFRj9r41Aw3y1wtvuEACEI1RpN\nhRYVUTmRBF62MVWYhzHmRpDixSetUo/9HI58yWwn8iF/vy6GH/bhbcMXMqYCKDEm4knvkjlJ4rVO\nNjptDnfsIyfQSZgdXy7JWSL8xRxvww+NEFhypsTkm+Hpfuv9GGhOhJCwCvXh6NEcBiYdmYNLiTyV\n5G9XlJziyYxodFy/BiWlyJMe/OyXN2bP/Kc/ufBygfvmvYgDL5oIIZy+U/9lq3owR8TBPTE480Tw\niSXGSBseJVb1Jd39sQEez7bm062IsKwXtyiO6XjOjjcSnS4SOVOc1fwDhAWCKktcKanQ+862+YQS\nYiLHRPDPhdMUxdGe2ESsI2akuLDGlRSyL5d9EIdzih82GKLkIiwlIkXpUhh6p+2DqJnr9WtmnOx2\nx2yj6EpQpdcH1iu97ezjjsZ5Ime739aKEx5VA/WAMTr32yfMhMtVCMlrzVr1qLTsDRvCXD1U1R4K\nFnxJacN7U21g9mAMd5MEcaSvSsD6oPbKpHmRh6pjcGcAcdupBOAssUWcMd4O84MtTJZLIpdw2jqV\nGF0y0yBe/RV8B9OrUbeNWmGa20dFvPA2uGBEWS5cn1+J5cqhb9R5QwcwBJsnM0XsxCCcsoH6Z2qa\nh0o0BsSU/fBoOxYRy7Rm3PtBnMWnUO08rfFMqarXAmpg6vSAig5CH6QhjOlL3UTyhqAxYAyk+83V\npSOYzQNa0aJTKNW/x9E67fCshgYPWYkUYroQM6j6ga0zMs2X+6aDxsS6MoNLg7U1Wuuks6i6M75D\nE7tH/RwARgPRE4g2GVPo5yAwfXXhPnCcQdT3w73q6OkWwvcnSQjRC5zle3JN4Ad+eM8uHHsF8bbn\noIEgQkCJIg5wCoE6JiZGiO6bbX3Sm9KPyRzCDI5en6N71+TpOgkhsMaFNRf6fvgVc3p4YAmFmJP3\nzw0/YLd5MPMkaOT9uye+eb+xj4p17/zzqL25/Wqe5cc2SXnhK+BfPn0i/b3wR//xG57XSG2Rz49B\nPyq6ZOrhV8IYkjeri/C4P6jHTsmFZSlcLxfebhtjP85Dm/Ol5NVMIm73+1IpFiSipszhbS3HZhxH\nB4W4BmJx77cDe4ZHhEcgaD5j8Ymg3gEpM7grxSaMTojCVDBVBkJJ54e+CehK0tW3/VPOV9z8N9dJ\n92o7gpzLS/crhxA8Ydm9MixqRPrEqi9c03JhasekM6xR7UGYfCdVqE40KVEuLEtBJHDUne24E5MS\nc0LDjkjzQoEW/HCqAsXDJ92U2RIazA+0LqdDyQglspSLN9eE6WEvU45j46g3Jn4DmH1wHIAGQgqu\n2XdfCqsIYko7drbWkAyZU8gezroO534ixUCIwW90IqCuh9e90WpEZJIz3vgUA8u6kvKFp6crOSu3\nWpmPO4SIpIBxerHFCzdE1emQ5reVMTohCHHCMKPXwVEbNvxlJPN8loYjb0vsqJpz21EgM1H6rIy5\nA6ACJSRPuoaFaYo1nyCsO9qgNoUcSRKYQ9j2RpywRm936t1ZNb2ez09zmCvRb7cyB7N5KCxppKzp\nTOr6LsmqsffdD2ibDCajN1IQD9+ZMIZzlFTEy7jrRhgnIM4M6UI4PG0hVZhdCTL9mYsTmwNrDZu+\nyA0h+jM4fHC0E62s8d+DbGKTeuyYucfWpJFiosTMEt1T29uE7owS1Khnb+JscnZRusbmvgXHR9oc\nTDNEhRILWRJCp1lzH3KAqd6J+SWoUo/Ovk3smliXlctlYV0COvyquh+N03Tr/uYJEtzgLyghGi+r\n8ne//Mh+PPiL//Y/8v79M8pBbRujH8SUSCl6a3n3yH/vB6pKL82v4+Id9uOcPpw+6FTAiS9wVNy3\nHEP0gEpzT69NxUbwh9+MWQ2JEM94cRCXJcxxfuzbASak2D0MUY2p6t9mDGfJAoi5fp4ixOj4zNbd\nuaIaCOKogajGbEbdcXTpUF/QjoPZBmKTvLwnskE3+vEBjZmgO8N2agssqZCT12uNNgkByhoQSVCn\nS2fTQBLLcuFyWUCf2Y6rv0hTRudO1c/YuCPJbwUh+IvOQkGlclh3GNgZVpIw3TqZF5TVvdw6yXkh\n55U5G9tj4Tg8bXvMA1NBUiYuBcR55aBeHTcrx0k5LLEgITLMF3qBeLYEFVJKhCgMq0zkZHCHsx3K\np/KQ3CkRwpebjEuLyYQsUPVLyAlnclsnpoJKPA/Q7vzx7sUZIQVfCpsPLjoFO63JIURQce1dwbTS\nZqOat9VTI5HMkOmyyxBkKCVGUl7QmVy3rv2M4ndqU9o+SQjBFBuTYz/Y+87IPkhM6Zgac3pRtA2F\n4LVr+3Gnjur7L0uQlbD6z9kGWHXujGFn206AeALQRidnX2wLSllXQhvs9429HgTBPy+CF0hXvF1r\niFcmxtO9k5zIaHMioyG4jh/jAsEX+XT/e3T+O4jHp+gtISECGrHpqNHrsnDJyZchx+FhlwBBhSiR\nZoaME9AfAqY+IZISDKPvldGNkBKzV+ro2Di8+qkLJgGtQimFtGTSmtkfG7VV8lhYxCe4tRTUssP/\nx+Do3Ulzwa/WX1jW1h+EUBCNfPWk/PzTzvqPv+EvL6/86P2Vo23cto1LWVH1AmGJLoXM6Uxrs8nt\ndmfbvEBZBKw7urI1j9hv28627Yg6L9mLps5/zpcfavD025juWe/7hGSoeKN6DhlNnl4dY1Db5qUK\nDHRCnEI+S4Db6MxhBBFySQinvZCB0L0DVHx/EOLCup6TpRyOf+1CCK6B29GZM9xXRMkAACAASURB\nVDL1SogDZqW3O9SddBHKCrfHwzVazfThe4O8KuU5keLK3JT7J6FvG8TGHButDzQGQvQreEoL2MLR\nKpPDCZToSaVUJCygBzYN1ULKg8Zw5nPJaFzAvPy2m6f7dE4fKpaVOQe7TaZWYs7k9ULMCZMHSQSZ\nzlhhdDTpv5EsEVrtBPFKMJCzqAJvEpq41iXClHC257hvXzWj2s9S3Ao86NX50sd+Y3bvuNQgyDSO\nXjFV1sWLkntttKOeun0A9fo7QVhiQZJS+05tO1O8M7JTaTTurXLQIU8kdAablz9LYQ6o9fApO06y\n+LLaWsNqYxyVdjSOrvQekGrYYej0kctUIPhQMNmZOH4AGYSY0aQMbex1x45BjoVUvB2hD781teY4\nCOlGjIkQM6I4W34qQ7z0e063dIaQ0O4lKCJ+X7QvS80ZXCscbqGVExegEn33oQbZkNkZZhwHp+c8\norPTTem9I4Tvdf79oA/vkoq3YAQoGukjkE7XwvzSY2Qw6mDivwzBGzqiODZUS3DjPebsD/Vf5OwV\nAWp9+AGEF94yhVEHNQRsCsv14suq1rjdjalezpuLg/O340BOm6EXAsCY88RMumYmNmmjMaWRc+ar\n54W/+fm3zCn85z/5Kd+8fyV/Vlr3JGTJESN4O45NTy9KZNsfvL298dg9yj3NS5JleiJudqftjeHt\n6ymoPyiSfPIegzZOnoj6AespSEFOjsVSLizrC6JCPSqjjxOclUkFIDjECEWnejo1CCk5QKLX8yW6\nCMVNIPTRfRk1EzEU0lJY6PRhBDno1aWuvQ+afCILrDEwRufT5xuZSMhKTINWN2x09r0iwzVnkXmC\nmYzZHB/aVBAak+ROAomksDLF6L3TDqO2ScTlEJPGrBDXwjG9jiuqSxxjdj83T2JkwNEHozeX1czD\nRnM2D+ukTBxe2Sf4QaJpslwV+mQ0XyJfn4TQKyJyxvS9Xm/OgUwIEmjHoPVGnZXKQZeJ4W6SlN2t\ndOwPJw9I9htb7OzHje1XndF3HwCmV8Lp2c9aRycbZ/IPb0Lq59JOAc5A0wklm9JAIoR4yiI721Z5\ndEAKyzVQFp885wDrERFo1ZOT3ZyrM7Vj7WC0w9O8YkwxRDx5OQ6X07z/cuGyXMlxIKH7glwGc05y\nTKQlsfWdtrnrQ1Fmjr4vYtCbs0fa4eCo0SMl+tq0N3/ZSZynZx7mGPRaaftB742SkyesK4TpIcAU\nON1ZbmP1jksfZlQHIs1Z70CdndE8sDWGPytmHiD7Pl8/6MM7xswYA2vdk1pTad24tZ0WKmZwHGe6\njE6fpzd4Ji4lEbK3lUvKPhX3QUqZVSIPzoZshEaFGIg5EMZkNNeMj1aRqBiNWJRiHt2VILx798TT\ntfDx7UYs6YRSgbTT9mV28i1OciEDurLbQe2dpyXyt//yS8waf/6Hv8v7d+/Yjp1t3zmaHxZ6bqdd\n86scez0XJPOMjTv4SM7N+/PLhZjEoUxzIkQHzYeAhoCokM6evykHIfgDO02YGghaiOmJXK6E6Nzm\nehgMZ47M4B+C3jszNBDHZ6q62ll74Ng9CZmi+uHpaWPqfgeMJTnRTaN89+/vtdPbpDejWifmhXC5\nYjFyvFW2W2ddMkGTe4KnIRZZ4oUwC22bdNmZu8HYkXn4h7l5eCMEZ0uIKMe+UesDG+aUQTtb1W2n\nSneNVZWBlx9gHmwKQb2tpjc/bHSiczhw6YBWjTl35FwgxtNB0Xpl7kJiIy/GaIFjm+T1hfXs2Ky9\n4olpDykhA5UK0//38dj4vD+8WzMLMQfK8kzJ5+HIw1OQPfPYByE06n5nP6ZnBc6Dxaad8XiP3rda\n0eD9opGJxMAUD1NxJkRNAtPGuS8yZCpjKrMr9Zj0E+8gSyamyaSx3Q+Oo2ETL1hI3vP4qA/CFPpR\n2XavHBRNlKKnP9sXqta6EytFaVvEkrBcCimuJ6HwQU6eDZCQ2OqGNHcGHbX5wa6B2QOzBnT4Un7U\nnW03dEb/OaDka2HNmSrTU5XtdNiomwRC1POmE4kxOg5BXcMW9RQ0Ej0lNYcXL5/7B8qEPqD5zTUG\nwTSyLMv3O//+vzhU///6mtM9tKdZiBy9tojh3Igp55se3B44XJtLOXmyju6VWaMzu0fAc4z+CzFj\nTEFMSHElZZ8+j3qn18OXW0kJcToa9dTLWuuYDV5fX/jRj1/59uNnhrglLGeofSJ1OPYxCL25+8Sd\nuIZ1p5Y1MV6vib/7xSdmq/z1f/kzfvqTH/Ob3/yGX/3qIwQlpEyvlcf+YN87j8fdMZcipJyZJrTu\nskpQ4+V1xWalto1crkwR+ugE6Uz8ap8vgXY06nDuuS9uDCUxSfQBR+uEOajdG7DpXvJw0hmYOlCc\nwqeKV1sFwarALCw5kYvzNiQ41rYOGHWnmiH4ImnqCf4KEMwIY5LNuy+bGbpkntM37qWeA7WNEgJj\nTGJcKLoyKoxRiQpxOs8mleL9pksETUwuhFBgTmp7Y9SDlJS1rC4N1c7+6NSto+GClOR9h/vAUI/k\np8X10zHQ0Ika0KhYN3rdIBgSjBg8ACLT8bcpuQ1SZDJtByKBzGhfNjHjdAZ5gnXqYFkSURN9b7Ta\naaf0MPWLbuuY3JjPPlBxb/i+GdMaKR5A5fJ8YYxIr/GMqRvW5FzidqxtzBj9Zw8sSyHmxZ/PdjgP\npnZC8lte74OxbWeh8hfOx8Ew4XH32PuYO58+HGx3I+Xs3PLpobKt78QZXBpv3rqTNZM4cRTTMDVi\nVmJy3nnbH4x+Bdx9ouFMOQY/H0afLs+FzhwHoyd6jXTAesBqwlonxYEXklfGGITgfJjAdNhV8oBP\n1kgL6rf08zb35RfqWQMPManoCYs7QWHTEIz+pRZPABXy4qAvRsQOxSyyLpfvdf79oA/vLocjRG0w\nRyDFBRHnFk8JrkUpaPC6LTNcFzTnkQgCw3+wTI84j3bS4WZy7XgepFIwFbrtTvNbJnmZLGWQc6Ae\nQhP37QqTo27EsLKkC5d15fO2nV5miHFQFuj2wKaRNbJN5WiVFE7XxXAPr9rg/XPgnz4clL/7Bf/r\n1+/4/d/5Edeg/Ouv3/h0+0w1Y+CySBSBkBhimD2YwxvH75tPG6/PEJYH9J0wik8GsiB9YGOnEmgk\nBsIMkTkbrU/MAmkElgiid+r2mdkB1EtV8aVVFCHmSIjRwz5hnpH56Q02y0TjQloSOQtzdHqtjFHJ\n6phdNbdR2hhYAFmy81Bao5yEvN4bx3bDWiLnJ3IsiG6YPFiH0fYVsVdKvhJlMPpOb43HCZ8CoeR8\nVrfhcerpNsjexrnC9ttcCIkYA3V0Pn/8hMideE6XwxpIJlth9MQwY6hHnHXifwwG1hAxUjhrvgwO\nU2YIXNYLXz2vDOts84EmIWjn4IYOd1JEcxxws0YTY5PsHYpjMOagrIXL5UIbB7f9wbYNtj4olwlz\n95fw0aFu9Jp4aOTy9IS+C4QekHsmzhXhoNUOIxKYaFQ0TkLr0IRuA43d0b3NEDNCjKgqtQutupVw\ndv88aUxoNsw6bT+o/aBZZ9+E272yVC8+mTK475W6C4lMUfVEKJ61kDmJ6s31mhIxZy7rBQW2Y/O0\ncD+ob9UdUKsiwZntekqYNiq1bgwKPV/o3aj7znHsHt1X/+wGUdJayMsK0jx/eQjVBim6VdNSIi6Z\nWe9Yb6gEYowkYDwqR5tejZaF+IXTMk4nVvO0cm0TjYFLTuQ0PUx0XDyM9D3Pvx/04T2nlymAG+KP\n4wBcM2R4VDdG1197a9gJm8F/3WhUUD27+obT+KZr087faNAmEswb0TE0+vJBCI6CtOEvglOr8jQd\n1OYHPTNx1N3tedNAfdpKKWF2IHkS98q6uP752AdjDFQjj+plB5dr5G//7h95vl753/7nv+AP/vRK\nvvyMX/76zqMKH+4HNXpakaoOqd8bNhs2Ox/vG3/9l7/Nj398QbkRQqLXTimTkL1nz8bg7e3O7d7p\nBnFVyqqoeDdlwBkRMbpf2ILRuyfR1KLbBSV6/VXMiE7XgukncH8SS0Ql4Bdgl6UkzDOE1JnmFjKT\n5kvSgNvvJDIiWJiUGbimhZAyj3qw3X5DM2O9Tp5fA5JXZGSs+eTj+NXIbJXWD2r1xVvblXHBJ6oA\n4aysEqK7Ik5LZTipiUkgzIbVG00XpzZNV/v76Oz3RrNBTolUwkmtm0gSYsjE6Mu43jrtmOjMpCWh\n0tnvd/a+06PDp0wbR41cromSEiLZ4f/bg9Ye3B+fSToIU7GRCRodsDZhVueLy4znTsSzAb26Tl7W\nDDMxGsRYCJy69UgOcENBvQ5Qo9thg8LRK70dHBukGTxQFQNpWQhpwSSy14Pado/aSGDgXaZysqp7\nF7p5OhkTRJ0E2Ptg7EIw3xPJqVtDdAaPek5izEHvk5QzzIyq8HRdGNPYtgfH405rAfSFfD4jwuYd\nr8Csd3p70A5XoW0OTBTNgfKipKi+5NXCZXmCs4qt9U6U6ItdGp3DaaMMNERELixxJclglMm05qC6\ncQDuKvNWKMfEtgGkQMpKLF6vOHv24UU85PN9vn7Qh3fdD9Q9An6oJPft9gbb/pEUlKWUk1p3Mk/M\nfdYj4JFY8S5MrylTh79P86hy8IP9qBWi3456m76XyZNju9OP6aCZENAsjO6prBRAcOhVKoVIoO+b\n84hDOK9WQgjKkiqXywUQPrzd+HirtNFBoHXjsg7KEvk//s//m3ffvPK//y9/zn//l3/Kp4+f+Zu/\n/xXb3/+SvU6OaRy90Te3dJlMjuH84j/+41denhJ9rLw8XZm7oCETciAr7Pt+ohyUPidtr0xxjO1S\nAjGoA34I5LwwMfb9Rj0e2BwkzWjstHFjtoie0/eUToygWdA+EfWXZDWXWfhuQvXkJ6bM0y7nyN5I\nJp+t25P9sTkhciQWjcw0mEeDATILjMiozsSIZGIpMB3CFUs4QUSdMZR+eFkAGojZ29lHM9DBtRRC\nmNCcYpjD8J/fdBCRw5Gmx7r7QGIg50LKCU2TGQfjbA4ScTZ1SkIPgzAncwTmbDweH7h3o/aNHgYa\nHTiV5ckhS9LPlOhCF+HYuxdi2IHgGYbRoGHE0IHprTCnv3zbK21zhkcq6WyTKaSwYgZ7q1A7oX9p\nxUlcnzOy+n+jmjf/JIRZ/ZlRVVQ7Smfqw1tt8JSjame/T2x01ktyl1L0qryoV7Q1QhpcXgMhnDeI\nZlxLIYeFFDxMU4+d44CcHMYlAHZSAKd3a9pZmhFipTYPhEksxCTAmWVAYSYu+Zn0mtgfhwPSRIk5\nkC24fZTM5bmQMOgObAN1620y5m5Mqy5hq7+QcgwwvBxZ5Is8GShFUU3EJIQ46DIw5IzT+/MuJRJz\nZ86d1pR2ZKQPv3l9z9H7h314b52ggafLQl4Kebmikhzy0+4wGu3c1jPxuix/ByOiTPFN+uiujUmU\n88E820GCPyh9NqCj6lNQTEKO7qQwM0Z3vStE3GWBgHXgoLU7+zF4eX0mpEg9OrfbBqMRNbCWhbBm\nRIT6xQr25WWDIzkfN3j/9XvavPE3f//P/Nmf/iG/8+f/gbUUjmNn0viHn7/xs3/9CPNAgpGiwsg8\n3t74z3/xO/zhH/1HmI1tCyQJFImnsVdptfF4O9ju1e1w8RSqbTBHc++wRGS4D1x1IZbAZHDUB716\nfkSz0+XaPNDhwSCffhdycE6Gqr+Qat2p1e2HGh17Z6c0MGR6ezyOoPU3pyEpMBdl65V+CDFnUs4e\nUImTR4U4JtYCQRPreuXl6ZneKropYUznRi8ZGcODO0xSTuSy0Fqj9Z2YFifMlUxcwPqDhUZ+Ej7f\nKvvNed7h/FmNMYgxsqwruRSgMamucTNhekeqnPJH8K4A+hnaOKbRhnI0JS8L6/WFr5+/ordKPXwn\nomGSSuRJV0I0R7r2hspgUNm2huJlD+uyEkn0flCCslxPVk72IE5aC8tlZWs7j+2AoxNn8P1FDrx7\n/hFPX726H/3+Br0i0vy/1zHYcEbubQzmeJytR5NlWWF0Ho+dfe+UHtDLwNS4lheWeGWM5jiGmGit\ns6TMaI4FSDGenzVPkWrMhDDotUGYrOtKycH3F+q3a10iuRvlhKilMgihu71zQHuY69fhQk6RSacU\nPW/IlU8fNz7fDvY+eX29sqbMURvbdkezcH19IseNfRuorrw8f02+LPTjzv32Rh/NpZAOtU3EIpdc\nWFZhxg0bDWvCwBfVURKmSq0HzANrSm9CSYuz9P89HN4qBZnJJ6HWnR2g3teXopCTq5fmT5tH4A1g\nYkCtBipozGSd38WTg/rCYYzB5eUJgnEcmycu1ydsdqo8fFlh/hCk5EsSGQWGl+6ui/L6vPDh9okP\nHz5zvT7z7vWVr1+f2Y+dz5/vbEcnhMh+ND6/3WltkKNyNHejOLJVaHXneQ380z/9nL/72Qf+6r/7\nc3780wvvf/zCH3++8X/9139A5uSffvmJh/lNoh8H/80ffc1f/9Xvo5K43XdqDbTZCQlycssS5oez\nhtOjKsMthsCoYNOJdCllQijuOomJtDRivdPsYB8Vaeapyun+ZmtKiSs5RddRQyVk51T3Pk6f7IQZ\nUSmMUbGTVTFGIFpB1VnIc3hhcywXhhqaCpoSbVaqVvS0TgbLJM2ILsSQSXEhamKMirRKTAlZOX3i\nHSis6ztiytwfn4jzOHXIhRQu5ASWO/fdZZVyeUKb0bcGU8ilnFpsIKpDx6aJx+fP8gw9oWI2G9Z9\nydXxSa4N88BUcda8hEwuTwQ1HvuBdY9PY+07tECwCFwgVFQG2YS6G/0YhJTJS0SmMGxS1sRlWYkh\neVApB/ocbNvmwZnpoLEYhDGVrR889o3UX8manByYC5aNkLzI23rD+o5I9+dTH+hobpPUhdd3F3IR\nPnz7xuX1Pe+/eWbYoNWOik/TMSSmFF5eV0LwsN3bxzvH1olxIYYFlUlZkr+ssrumlstKyZG+O1M+\npcD6/DXlUomfP7DdbtjYGMOxEfuxs98MkUxZVyQW5lkzpzpQ6STt9EN5fDrIcSFeJ1ar22njwpTC\nsowT5XDl6eUnpEvm22+dlskczCjYzF4KbudyfDaw7ex5LdAEZ6JMam0c40DFfd2juXaOegHL9/n6\nQR/eQQs2Bo/Hw/m9opRUUPHiBJ0e+xLxAE9vHhr5ghM1hZgzMWVPYAJzuDUKM8J0RkgsjqkspRBz\n5rbfPTatbtUKOZKTa2DWhdobvTeenp75rZ+u/MM/P/iXn/+GH/1UWXLh9f3K119fqfWZT287v/nw\nxv2xe8FBCCiGns1aURQJ0FtjKRcCnV99+y2/+PCZ//A7v8tv/eh3aPVGyZFWD/at8bNtR0X46ddX\n/of/8lPWdPCvP/9nchCW5UqQSa13GInevYx1Uoh5EsdOn5UYJlkDUTyEMKYfMog4Da+7NzrmFfZO\nPaqnBFunj4MoEZ2J0QM6KzkqZTEIx6mFCzEoQSKiCyGuxFhQUXfsDL5Lujk3wjGZ1r09aF1d07Rq\nSPNl4BJAu9vfRjPePnxkvz/OQlffH8jpAhEFE6FbYDsmY3Pc5xydpDvZLs6RwfkjtftkRVh4eQ6U\ntNKaL+xijsi5bLZeCQQg0O3ksfpnlmlgBt3Mo9xHo/eBRiXkSJjuBmFWjn3S6k4OhRQcUdBHh9E9\n+SqZNWVCaVjv7L1zOInNfdviEofzFid7cyZOnIqZ0dgpy4WyXqiPG208mOf+4bF/JN4WdL2S00pJ\nyUNDuvH5853H44FQWddAjJOj3zA6X331E370/reZZjz2nd/7/T8hXa5shxd3v6RAiYPj+MwYgcvz\nj1ly5sO3v6AeFRuZZXnlcrlQj50xKpdSvNMyO+o2ZYXZmSqoRjQkRhNyufD8JCRV6v2Nuh+01qmH\nc0o0QJwrOgKtbez7zrIKKQdeXhfCTRgm1Efj0EkIxvq0IMmpgYrD01rt3D6/kXtmtk7A23taD+Sy\ncP1qhT5QBiQjpsWRxHOly0F7PDCrjDnpp/c8p0BMwWsBZ/v3MXm31r2gd54NLASaTXI0kjNsvgue\nObnrZAGfWrPEiCb3N4fgXZEWvjCaXUNrrWFEljWxXi4QIFrgUp4Ia3Jof3WAjp2N57VtDJSn6wvv\nv4m8vP4KfvFr9tb4ePtMTIOXq/N7lxLJOdNrc8kGhWHE5OyS0c4CvLMpXlW4PW68fX6jNmO5vudH\nv/275OXC5483/vHvf8m//NJY1sBf/Nlv8+PXTG2T56WcoK7inOht0I/JqN392nVyNPft5pS5FGHJ\nwRdlo3OMB4xO1nZa1xZC8mVniQmGWwRr61jtxGWllCdkuBshqEsHqh4F9q36Kcecnt2gkZKUYDut\nH8zRqXQkGCLzLE9wiE+3nf1oNM8XoqOT1JduNhq1uua8qSNxQxBCnF4wfHqla+3+z7DGGMboD4J0\nxPzlkUpjyVdSjKTwivWdWichTZ6eFnp36qKo2yId9+u2O9RQ62cA5mx+t0EdlaN3JDpILagwZBBk\nnMz3SZJOyivXK8hUOMNSMiGHTFyEfpYbxBTp2hwdHAdjmB8OOtG8Mq3zqJU5BoGJdSNl4RIDduyE\nUNCk7BIoaeGSnqj9wehvtK6U5StSfjo5nJFWJ+mrxOu7C0uOWDOe3l14eX3lsrxDEXqv7vii8Djg\n7VZZ1yfevawEqdw+feC+dSRd2W435owEvRBjJsQF0UiMPoDVrZ3JaYUCde7IrOichFRQhfvbr0jL\nFfvC907CcWyYDEJW1uTM+yAd2kB6dza4Kpq9cJl7px+VJkINhbwEJLnjizloc/G/vg32o7PUC6XA\nmgr7bXf3SBAuT25DHdWIeSXlDl2gnb//6rTQmDIlFR/+QiCl5H/tfPF+n68f9OFdayUvro9OS4wO\nvR7QO+hkWZ3kd/T+b9VXLkwjMRKXDCq01uhtY54abYguJ1j3dhXX0Kdv44MwGJgEgi4EOaE8lnyD\nTme9epgl6ivffrgzRiUV/5ButfHxrTLqZFmipwuPA5mwlMLtaP7NiUffNaj3UsbGsgbidhL9iifU\njhr4avkR3/x24g/+4J/5w9/7f/jlhzdiDvzk68ISrlyfLiRpp5XviZJWdjKfPt3pEslZCanCMIIK\nl2XlukSSeiFCzsFbPkKHUL9joESN3tc4hSTCGEoJV0K6cimvrMsLDAeFuY7v3l/5EjbpjuoUJt0q\nEL1MFiHppOF6b1DXCgPTQ0R28Pb5zr0pcbkyOX+OuH2t7Tv7IWiIpMXrq0JQVCZiDVrH5qAdB8cx\nmLp4RVn0l9Xog8/3N9YpvhTcIabkdEm8MWnMST/NTt6l+QVTMJw8Nx2M1bsf4oR4NjYZXXy4KIsX\nKxy9kSRSykobBrVj0e2MvVVvSZouNue0kJZ8gp+qR/CnT24SOr0fvr9RJZULMLmNN9/JiGDtQKcS\nEZodTJukIrQOQRdeXp4xvdHtIC8LT0+vvLt+zdPlQgzumFjKwuWysD3uBBLvv/mGlDOtuYwwxqAP\nQXWhte72uuESQtsGLV4oL9GJlbZzvwVufaKavFhDhjPd1ZgIIV1ZloixM8PJejFjhkB5Wnh5KZgo\nt22jN5fXUlJCmo7DVbeD2rYhVVmDs3cQYSBoCpSru4GmGff7xm1zhve6nHuX9ED6YMkXpro3fMhE\nDZaY6dWX/PXYKCkxLTItMuxgtJ15dIZ1VNQzHSk6k2a4ZCWIk0dt8D1Vkx/24b1esvstzbDdAeh1\nuoySRbzTMCcwYw5DEt4Cf9ZoOdsDZhvMYbTpVUhrTCCdrl60awrThrdaB+dX73X33rshnqo018lj\nvvD6/pXr5Ud8/HZyv3/L1gY5FW+T7of/UgmnBaqQl0wqgSyF1getTWIItO7NNNKNORdSEt6vk9gO\nZGaWyyu1dd5uD57fvfLN7/4eX71eKPaBb77+XS7rM7QT+C6DronXvBC0IGmgpSHtOLkqypMsxKQ8\nXf2PvVUE7/YjGaZfmnQCcnZ11j7o3cn/OhxKlYmEsRDIpJJQzhzDGNgRGJYY3Ty00ycx9JO94ROw\nTkNCwBni/v/1JZZP3W2vHKMx8Su9cUeO6ozzPjl26D2x5CvX51dyknNpVD1k1D1g1EYnBe+N1KiM\nHqhHc2liwmgHlr1PsD4aOTnOdIlXjnE7Ox8dGnWe3CBut5vmRbzt6NjYSTF6olfPHtBmWHJ/fOiZ\noCsaMkucDDrjOEhlIS0LWCXN7pAuzMNpwfzn1RvDvEW95JVlrhz7gzaMzoMgiWVZUSZqnaZOloyx\ncH39isv1haN20nJwfXrm9fWVlJwkmNNKDAuX9ZmXd++4Pj9T1pUYXRIavVOCg7GmdWLo2Ji+P4l6\nMrAbdT+4f76x7zvH9iDlQEyFTx8/8Xi7gQnvv/6aGBPWGvVxow8lP73j5fUdl6dnt1VGWFb3T+cT\nsni5XpGsWKt8/PbXvL195Dff/poPn04UwOg022gDugS0eJsWUb0GsfqA9nItjMXbp7bHcO09ZeLq\nPG/GZDwiqRTWJdBHpR8AgmgjzeDArLeNyoYSiGUllYiMCGMwiVjGbbIpEcUDUkGzB6+ytxrVtn+v\n8+8HfXiXEjmaE/3CgBQD17IQIsw6IaTv7H7gSVWdHk1nuo2rMqi9eRJzut0pBgejM4Zb9sxLVXtv\nrrHOgdhw/oH5RHdZM0+XJ2JYCLKCXaj7t3z+/IFcEt/86Btq6/Re4eSqxBSxOViWyPWyeqejeDJM\npxEVf+hOdCxz8tXLBRkHbx8/+PSKcvu8UZ5e+OZ3/pC/+h//J0YfDAnkFLi/fTivg+6W0Vugtaun\nyFIgixcV55RZlsy6Fp6fn8g50Vpl2+6MvjO0u3xjHqrA5tlTKYRy8RaXdni7yQzEkN3vq9FTlnMy\ne6AdyrDodWdRvRx2jhP+bd8d2F/a0aedTS8MZnDNNmjgqSzcdpijolGYTWnV3Jev0Q/9s0i2tUnb\ndzAPTBzVdxIpR65PV0KM1OqOgRwjvVUGk2PfWNcLZblQ953P+87L8zMpfp1lYQAAIABJREFULUhq\n0KcXXsR0Pl/TXU2CH6xz0GR8x5M3IppXntYnogysbbTWHFwUMjEFbHZ3pchwqmW+kNMLYo3H/TP7\nvjt3RnC2tgT/fsNCzgXw5zWa0dX7RuPVizYYnbk+++QdF67XFy/WYLDmZ5Z4JYyVaXJKaYOZBj0O\nejXnuEtx379GQvaJen88/EU3DBtCySv1sbMf3tx0v90ITKIKtRqPx8anj//Kxw+fCLGwXp7JJTHG\nwX5UJoO8rry++5rX91/z8v4dr189c10jijtsYnTJSFNi9kGKxrunlW+/XXGTQuJ+uzmPZXfrXyrG\nUpRyDbQxud+FdkQElyMFfDGRHXmr0Xn+MSk2HvRhbLfO7G4XDDGgyZCQUO0MOxwlrZHZG42Jhgsl\nBaYkrBsxFXK+kFOidXf3rHmlLAlNO828rOT7fP2gD+9hncfjoB2Ta1lIJZGXlbJcsWbkYGcXIzCr\nJyo5SXZzMtpBN8OcfMmsHXpDgy/Dphh7a4Qh1G1g2imqPhkO82aTKDytL3z9+jWRzO3NLXD1uLNv\nd5aivH/3zNGN+3ZwHBkTR9Pu1cuCS4w8XVa+/fgAcG07RIbhHXwCOTvxJuWMjcbP//ln/OJXv+Kr\n9+9odbDdKz/+5kf8p7/8a65L5pe//BeOY+PTx8SHbz9zG3hw4WxjCQJLCIRLOSWlCdOImgm68HR9\nJUbh8+1bPr396rS4ub+2N/dVRxI5r4RUaN1o019KIXirt55yR4wKc3JULz84OmdhbyDIwKwzxnQe\nNeZgsT4Z1hnSGOrUPnLyIgJ1lKm1jc+zc7l6g723uy8sZWGvnSmNXm8ee992mErKgRK9XCCXyJLd\nt2zNm1NGmLThE3xrB3XfnZ8e/1/y3qvXsitLrxzLbnPMdREMkslMZlapIJUaKqAb/f8fWg00pJaq\nSlK5zHJZSRP2mmO2Wb4f5ibVb+IrURfgE4Fg8MSJtdee8/vGsDhr2R8OsqBsUQQfVQm5D0OslVbk\nVmxlZ0mrG5qhlk3VB4Pr6QyspVBIGOOl4GUMbBYj6+RhlmLEqpHODRgVqGWCmiVF4wb8tnQFD0WT\nS0a1Dm8M3lqoDo3EZ0uJqOYIa2Iukev8TN047a0phmHBObtF/jr2x4Hj0ZJS4XK5knJjmGZJ7Gym\nnpwDKa6kuFJLFWZJqbycT1yvF1TzpBQ3Ds7C6emJ928/sC6Z3eGOYRjxfsa6hjYF6yQu2XcjxkuE\nVtWGSpVUA7WsaCUjx9YpbNXYXIjrinEO1/WCTE6FlKFUhzMDDvmI3FDo9ore9LheM18LJQgCAoWk\nrHzZkBEFRcEog+8cjNBWuWsY7eg6j/ZVUj8m42qTndrm0a2bUrA5jXUGnQytavq+F/RwlsuJt56K\nzLu1c2D+FSBhaRqrxNtXSZTmacqjHUJ1K6t4K5uwo2upVLNJZvVm4EYqy8ZZtHXYCjUltDe43kHX\nSNdCqQpdDa1paoa0Zu5u9tw/vOYw3FOj4fnTM7UUbm5HKX+0zDh07PaJdJ5ldKAlTTEvAdUqx/1I\n5zoueiaVFaXblkfX0ESM1PdWGBC1EWJFK833797x+2+/49e//g2d04R1BnfH7uEzfvnrrznuHKfr\nlf3+wDicmFtBYci5brdhjdbQdZ5SK3GNxBAF6Vnly2yMmHH6fqQ0K6hPlVjiRMmbMZ4f7PLyOi6B\nFHlMGiMNV2M0MQRilO1/qZKwQOntgGvEKBZtrRVeCce7bFlJ1eRGS5bq9doysUHTDlRDa0/nZWzT\nisNZSRChwW457GqFluesp+t6oPx4yzVGMw49KRZCDBTjoBVZHudCWVe0cXjvRTjbmqQ6lJFYJJG8\n/dlQxNDjncY7Te0ke1KylURUU/JrVumtettRqzDDS85btV7QrHFdSHGi9hEG4ayo5qilkZvD6g6l\nJTeM8sSYyLHIErIaWmrUrJhWwQMYJXyeZVklZbRACpEQIs44YphxzjLuRqz3aANrEDxvCIHr9SIo\nYW0EELUtY5VqtJJJKRJCYFkWrstKyRWvNaFE1rTiDFyuz/L/VODx6SPeOe7vjxxuRpz3uGHA+QGl\nNdP1zPnxke/r/1z49p1ntxt4uNszjJ7drmO/6/DjwOF4y30/MoeV2hLtQxbQlOmIq6AEfvh+WuPw\nuwPaKtbLTJgWlBIeebOJZFZyLuJmLYa+22EPBtWJB7TwgzhE3nS86zC6SS0vZSgauzVNUYpq5EFA\naxRWVK3y9VeO1ow0v92IHwa6fw087x9C/bVKM0mWj3mD1ktDuRZBSYpoVL4EBWhKkidU8NbiOi/l\nmpBpuYpSygr1zO4ctlqMleo7puPNL77k61//Cbc3n3N5mXn3+BalGnd3e4be8fT0wnW6knLCWbl9\naqVom6kjtUquVoomiq3w0LZ/XzBGyjoAu85x7KRUE0ojl8SHf/yGX/79P/O//9l/4DAMqE5Lzrnf\nMeyPtHilGUvVPc4dWbbCR0yCsux6abfZzURyuUws8wI0MaZbWb61KrsDjQCUEpFsK7oldBUsbK3y\nUNKazdLTUCrjNYBwZVLKpBKpTbyZaiPitaqoVVGLFKKUEayo0hsUSBWJFtaM/QFXWiEZy7g7goHe\nQgfgG0lIq6KE0xv5WinoO2gF5yy+71GqUUpAIfuFpiSfm7LGaYc2FozCaGFHx7CgWkarQrV6K5NI\n4aO0mVIzsTTIHSZ3WKfRpkrBRG3jDStOylZWStNoIwmalDMqb8UwLYmQkqWFW3JhSo1lWuTzUQNU\nTSodMdsfxSGtJnIW4UDnBXGMllJNmBdijHSdE3LghuDNVdg0SpnNOanxvaEfNdpkYryyhoZPHuec\nmGSU+B7XNbCsK856+r4XVGoOtFaZ55kYpcreVKM5ech7Z+h7Sxo9z2lhiSvKHchIUS7FRggrKU/y\nWVRRh+VUWWPidD5Tm+L+9pb7ux1vXh/51S+/wO9+yeH4Gr+/w+vI185wc9yxH/+Fd+8+SoFJNdYk\nKNcWKjEmqAFDjzZWRq3VYIxDNSugOQJNyeg01ZHBOXFarpFpnjhfJhoZY9hSP5pi1ZZgA1NEQqKa\nVP51b1ANclooeZGYbO1oWYITpvP4zsl3+Sf8/KwP72Hs8M6glJQktGmEeCWEhPODKIyQQ9tag9WK\nkhO1NoyVmFCqkrAQt54mZ0G+ttZoxkD1KLdJXpF40mF/y9e/+d+4P37Oy+OF508vQGF/lOjS88uF\nd++f+fjpwvN5IrNxTwSlgtWaXJKgQa2n5JlaNSlJ/dk5GAfDda3UReOQMUFpEu6/TIGnaeHj4zOX\nywndINTG4dMLn78+YvoDylr6oePODwxdYJomllluXNbKa5zSAJLK2I+N3nt8Z/GdJ5fGvARMtnRu\nlNu0blDXTcQr8cgYIqkWrNfbklEOk9zEF/rD7Vsrvb2Sa2rNUBKlCI0QZYXSyA8oTUUzckusNUMS\nTKdRhubBVkVTGm8HwZDGRNVVwEnGoJ3Uwdc1wdZodH6bvxvJZGulUMqhkHJWrYXW5LugbAdWVF6t\nNZmHNrHGlNQgKdRmy2m1UKr8JVfGyL5hI1IaIVrIDa7Ig1KZitIJsy1yc22oKhgBlNoO4kZNVuz1\nsTGtQuazbqTrDFpZSjOEGAlhJicBdnWdZhxEHirl0SqloLzKvqYmcqlYa4m5EEP+caxlnWEYPcOu\nZ9x3HI6jWJtKoW0Dx4SwzksNkoDJKyUt1LxusZuK0pUQr3z68CSigWyIVXYWfS/YiHUtnC4LU2yc\n14mPTwuD1ez7ThRxquE7h/f6/3eBUGgN6zzz9JRRJnO8HYkV8ZGanorFGse4+wLvDzh/w3j4jg/v\nP3J5ueJWyxIbYVmIeSKniFU93mp50JVKq1risQBGbTzxxJoCVmtB/+oipqOwUEl4r8lNk7GobpQ9\niVW00Gi5YfD4bsCPGUWWDHpcKXElZ4nWojTKJ5rzW/Lqf/3zsz68DzcHWhK/4pJWKolaI60WYlRk\nJ7NNbYwwmFuT6JGWOWXTQCsYDXYTw1YDRYkKyTRDXGVJl2ug7zru797w6rNfM/gHvvvDR95+93uM\nbQxjT4wrn84nXp7OfPh44ukcmVeZjWttsNYw+EbWmhCkXjzNgRKkaZmLjCpuDx3KaM5zojZFLpVC\nQRvwpmwjMUVYZk4vz+QEsZxxuz2vH+4w3Q7nO3IOKKtxdBhd8FaRN6sPsAFwRO9kOo3dKZyXW++8\nhC2+5NBdj9aGnDMxVhob5CsrYkzUWrBFY7yWdtjm1Mots64r3juM1njv0LqXqrBStCqJGzY7TKtt\nu7nXHzEDtTTJwipDw9KMw1uNrU0IhDlJJI9CAXa+Q2852doKNWfxPRrxCdZW5VVXya1TPslKU8JA\nN1qLNLg1fnR7adgddtsSL1JX8RXWpMg1ooiif2uSJkGpjXSniVGavIoiFwbFjweRpJP8JoPQQpXM\nFa0USVmWKTBdIjFUOZyqJqWAs5mYrkzzlZwCNFnWD75Dq44UAynLkjvlvFXX5S0nV3Fa5iy3deMc\nx+OB43HH8WbkcBzZ7UeOx734QnPezO2FdQ3Mk/DklQLvLTlHYgpoDF1vcJ2j7x25ZK6XyOUaiTFh\ngONxZH/oCKUQcuL5NBGivHk5pdiPPbvO4a2iHzzGGVIWBMZh19M5hz0I4mI3Hhh2R1HBGYNpmRYX\nMDuUu8G5AzdvDrj9Zzy8vnB5eeL0/J7nl/c8Pb/n6eVESkkkLNVJazqlDYi1WVyMRlst9p220Awy\n3+4iriR6LLUpfAexFQFXVQGsWb9DqURahE7Z+T3eVZRKGCWi8DkmUokI1EdT40wuWsz2P+HnZ314\na+MxquKcZslyIHknaNGQMzFAM8I1zhurxFqP9RrtFLXJq7hSDZq0A1sD5eTDbLEQYkNCsI3jzRfc\n3f8Gyshf/eXf8u7dW8ahcH9/y+l05XS68vL8wsvphcu0spZCRtFiJhcpSvSdpXlpF4ZceH45k5aZ\nNSV2hwFNR2c10xIoWZjksYobsusMvZMY+/Msldrn52fefriwhszN/ZFaKlpZSc7UTMwRisLqxn7X\n05ByU9uQnT9krmtrWGvEmFIqznTsd0LjUkYO1mlahVKXYF0K67SyLmJi8V3D+IK3Dm8l7VFqY11X\nSo5473FGlqbKSC425kJVG7YXK7PIqrexV6OVtpnYRbgsrwpWSHhaZs1JR0QlJ3NHbzpyKVinOB53\nhDVQiySD8pahNUZk1W3zh0mBZzPuqErRilYKyiq879BGC7OkCY+5liQM7VxpROkwbl0DrYRlHZNk\ni8OqyEV40E0J5a8lJf/PztJ1nVT5fSfr9FTF37kG4ikIa0YbsQDlyA/oi1YTTq8onWUp2hphaYR1\nZQ2ZmBBiZquUWui6fmuawhpWUIrdYNnvB46HnpvjwM1xx24vyQfVxApvFFjvSFqif1rrLau84W+a\nIqYqLHerKS1xuSyssXKZIlNZAOh8x/44MoxSKhqPPbdADpWYK2uCaymEpTBYRW4FZwwxZdT2ENFa\n0dCyh5kib2LDuoHxuJf+RUmYmlF4lPYYO+JsYbw5sjt+xv2rVzw8P/D+/RHffcunxyfmuZCyomVJ\nJlU2+bYxcng7xbgfBCORApWM7TK9rhQMpQiOQNuMjjNpnUlrT7IHnPIoUwQL3KoYuOJKiAspJkKs\npG204r0jt8g6LcScftL597M+vFMM1CatuaH3guBsCpyi6YLJG2JRabQD69WWHHCgi9jBm/A1Uq6o\nst3GjMJaRYoVVTWUxtAfuL35kmVy/N3f/B1//Vd/zv2bPX/09RvOl4nHxwuny8J1WlhCpDRoVtNy\nZo1RxL/aoLZDSBkLpUl9d7N039zs0VSul4l5ESKaJtNqQzvLOHhp+dVM5x3HXc9yvfJXv/uWkAv/\nx//5p2gay/nC47v3WBOoaHSReaqxHuM9vnhqE+wsCAOjocVgnS2uSY0ctbGrNtmwzA6lDZlLZQmR\nZZGCUY4V5R1Dr0lWxlDCKEk0Z+RW6hR936M11JqkzdikiCELQZmrlyIFmrQG4UpruQFhhPpotaBD\na4OqMgaLNXJ4W2XJqaKVoR9GGRGElRzkFRUly2s2MhzICEYJvR9qRWnPOOzxfYexhmWZUVtLdGcc\nOaws01UUfHqj5bmeWqyAuVISs4rpZfFnK9bIBQE0vt/RjyPaOIztqM3iXEfJmWVZ4IcFboaqNM0I\ngbIfHH1vZUFcPTV3TNPMMkXRxMVATIkQoTVBjlYaOSdSangvn7HTcrM97geGXuQY2ki1PuUKIVOK\nvBRtSx7WkJjmRMiV0qC0yhqlLLXOcttsZGoNLPNVZu+dpvgOpyy3hwPHuxvG0TLejBxvbwmxsE4z\np+vEx5eVD58m1pBRo8dVNm+o7K1M2lj5VexM6e1HjHEcjg88fD5vb7ZyYTA50Q0jqhasMsx1JadI\nKwZjDux3n/Fw14QM2Z5Z5yLO1KYRUfcPxunt74WSt72UJpF+18K2SpMyThvou4pzlUXNxDixzB1Z\nW7TKaBNJeSWWzHSZuJzO5Jw2WJZHGYUyBl06oMjb1E/4+Vkf3i1HQimUmrHbKy9KY6zFKwXbIkwZ\nhe4yzW5fvNgQ1kURywuN2pSAYUyV2E/vUJ2D4On7O/rhlvMp89vf/jn/9c//G8ouvPnlLWuQUtDz\n6cLpOhNLlfZAa1jd0L0SmLyzYtrJjVITZctoK2MxXoGMZ2lakzfBAQqclro8NIzWpGaYQuGrrz7n\n61+9ZpoufPvtv9DtBvaHAbTh+vLCh2+/kVzruGfX7XC9o7REirKgMpv2rDaw3m4HrZjBjTFopagK\nKopSHQ3NEDKHmxsqm4TWKKwzhE1rZZTjkgOpzAxdx27Xbdt2S2ma2iy5btACq+i7Xg6q7UBoyGFT\naCI1sBKz23T1WKdpRpiatutBWarScjPXnczKc8G4DuO8jKl2I60mTk+PTEXUVtpYrO/wvkcZg3Fa\nomAUaUSaHYfjnv1hTwgrl8tZHiw0QphZlyvaGEJYKKXiu/HHrHfedipdt6MbDhtrJFFyIMVE3++5\nuXmFUpY1JkqVUcn1EgnTzOV8odXCel25Xlepy3vH8bjneLOj85ZGIS6R+ToTcuO6JlLaUMelSGHK\nKEL6AZwkt2+Moreervfs9wN9b+l7z/H2SL8bsH6LAGpLU4aQIykXQqjMcySVIg/e1ogpcrle+fj4\nwuU0YbSn6w1Dr7l/uEGpyuV84e3HBWc9h+MtucK0CGFz6CvzMsuO4DIRYiCskVIgVkVoEv033rAb\nPXfDgKExxZWYCt5kpssjHz98x7f/2KjrZxzvRtQy4fsdtim09wy7EVzjeq4sa0dVwh/vuh37QWK2\nql65pkCOjdYMyssNHy0WrnVJKC9c+1INa1C0ouQtqWZyAr02mnEo48BEcj3TaofZxnEiZU6EdSUs\nIlbuO48/KKxp1JpQytD57l9HzttYQyyRVBZQVczPSuOUxXUDWlmWJctBqBOxSgW8xpnWVrpO0ZlO\ngEUO2D5kpS1FKYbxyMPDa5oZePvuyt/+9V/xD//0B6Zw5VdffI71Pdd5ZZ5lDlgqtG1+9UOe3PUC\ntMpJZo/TvJBikNm7EeZcTEmWkVmkBVoL6yCXivOGmCrrWsiDvBrbVvj3f/Ilv/rqM373999Ta+U3\nv3rD4faBanoqinWeOD+f6PZ74vGOG3ULSssrs7Hsd/sfxyG1NlprpJhoRWQVKKThN4xY38kNQRu0\n89Iy2w3sDzuupyvPTy/U04WcIOXEGgPWGpQdcV1PP8oN1FsB6GujRN6qIIWVui6UGMmlQkVIe03j\n3CBN1ySFmn4YWIKY2421WNehNsrhfneDdYYSA9Z3/KCmGoeOdZ2YrpOwSsYDw/7IuDswjjvJBju5\nkUKlVrBOWoTeWeZ55njzwOG4I6wzT08f6ceR3SGwzjOXy1WcjcrTdQPHvmfoRYumrMMYBS1t7PNM\n3x9QeM7nK2ENlFJZ5sDjp09SRtqkInFeyCXR9R27wTEOsr/JOclnvC6cLhceny8sU6I1vS0TM847\nia2ljFaV0QtDZ+gsmkpplVQqvkpRy3n5jmor4tvaGuuyEEKQ23HIpFwFHWE0IUbOpzMvLxdenicu\nl4njQXE/7tgfOrzTzPPEdVp5+/aJrhuYF1iXFaMVX3z5hv1oyXnm+Xni+7cX3n54YQ4ZbTxtjmQa\nY2fZuY5hHOiHHtUqWIUviVe3R7784p4vP3c4P3M6fwJ7h3OGHCNWOfr9DWqncaZjt/N4ryn5npzu\n2B9u8W4nWAStoU2UPLGukvxpuW1iZVnc16xxTpOaFv9plTRQLoWSZpK2oCE3RS5yDTGmga6kupCX\nRKmZFBZ0i+gmEDxKpqRGw+Cdo7MW+uEnnX8/68MbA81kmhMWQlaJGjNGVXw3YPTmC1QG4zylCiFM\nbtyFgt6qxSI4LSqDUShtoXmG/Sse7n/Bb3/3Pf/xP/4F3333nldvbvnlH/2K25s9SmtiKoTUyFWB\ncaQ1UlvBO8lSoyTN0RsRlEIjroFWK13XiZZrkdGAs3abRRdJx1gDqlGUYlkS85A5nWd2o+PL17eo\nrHn34YWK4Ys3XzL2I0ZrhnHAOMfp0wmf5GFBzfhuJKRCaUq8fd4Lla2JgzCGuOWxE9pojnf3+H4n\nMCsv+XiUkNyMkRl12/LY2jqu5wlbRXowjCPdMDCMOw639+z2R/pxwBojUURnWK4XTk+PZOVQLiFA\nf01H/Z919jUw9DuOdweMM4RPH/B+z/5wh3WOWkHbnsPhhn7ooKRtNCV7Be8N55cn5nnl7v41+9tX\n7G8eOBxv6LpB/ny0gKsk6SFLSmlmJsYm5iPrPEpZjjdygC7zFe9XSnWssdD1e3b7I7v9QcoxKJSy\nMqYwMNszz/mF08vM8/N70prRwLrOXE4nrtOFoe9oDUJYMboyeMNu5xl7i1GVnCIpV0KS5EgqSdqi\nVRa8uTRSklucMWUr/lhya8wxs6YZpRv744FUKsp06Hmm0JjXhX4YMM5SSiWkSMp5u3lnYqoyKptX\nzucr5/OVZQ4iMWlw3m7Pu7HDOcvpdOHx8YUPjxP7A3x4OhFCwlvPGitvXh/pnLBznNEMXngtsWSu\nE8RQWDtLSZrOrrSQ6LzG70ZcG1B2Tze+ot+/5uZhT4yZx8dnrDHs95mmeyKaUSt871A60WpAK8Ow\ne0Xf3TIMN+x3PUPf4/0zzrzw+PTEkhZZElcH2tCqocaKPyiKatSWcEVQzQXZK1BF5FxrJMUILaN7\n4ceDoIBVbVhTwLMZhhCEQIkY66iqYZ3D/USs4M/68D7PJ3Jbaa5u7gBBeNZSCPNEbDMhZprr8MMt\nXd8RjBJCmxZXYkgNStmonQXXW7rhSNc90A2vef9u5j/9P/+N//v/+k98/Se/4pe//pz7Q4dVhhAy\nKUHMbGZ6SZAAGGvpvBzWDcSN5+TVOgQZM/Rb7rYfPM7Ia3nZ/I3WerTOG1+7ssTAaTY8z4mvvnpD\n5zrefv+BTx8fKdtYxpmCyhM5ZEx3R1ED18sZlaGzHt8XUqmEmAjrIgdNv0Mbu/1FTczLQggrznf4\nsNKHFesHtLVotEiKXcG7jHeRcajQNL4bOOwHLtdZ5o7aYZTBKI/CMwz33Nzf0A893dBjrWWZJrrd\nHSmtlJIoOW/i58w6X7mcXvB2x2efPfDwcEeIC0qLJfzm5mF7pRVeSYoN68BZhzZGHjhObr63D55x\nd4MxGtcd8MOefhhQ2myIg0yrBShoo1BFHiSpZFpKpNK4nsUYZEzHmguKDu8Nt7eWhsF1A8o4OcjO\nZ6gNb0dWpaFm1mXi6fmZ0/nKGiJWyUPgcjrRauG4G1iWwGVaqK3htNkYO0aWm1pkDK7T+GxZI2iz\nYIwFHcklbNluJB1SEsYYFgRSJdFB2Q3ZmDaZtkJpJfNeJTFNhyB/S5XvsdoAaSkGzteZp8cTT09n\nrtcgbB+nKbmyzDMKGMcR33nmeWFZI4f9EetBO08zinXJfDpdKKqxGyydrby63dFZw9PZ8nJdWYOk\nlmoqrOvEy6WSopN2bAaq4uVp4XJKTLOl2SO/+uoN6vyeTx+eCFlT/QE9ZMwaQMtIdRwc83zh5dNH\nSlZ4pzjcviHkQsjCmA9pJZ8CNQtKFm3R2pGc2+b6sthUWcBbznuUk7c8BVhlSc2SkiIZcJ1CW1Ct\notF0fqB1sJhCiturfhMkRNy+d20LX/yvfn7Wh/dlOlN0RGmJEznV0xkvy6yUKFkaX2mRfK+/u6Pr\nO2KeqQ1aMZQqCz1dKtZ47o5vuLn/kpg7Pj2u/OV/+S1/+T9+S3WW+9e33N/foEvmOi2sobKumSXK\nF7lWKbj0vUcbtaXgtDQ8aWil6bqOu7s7lmWRGaKCvpcoHbXRYmEcOmJMLNpKjrlJM/K8BqZcMd6z\nxpXluqBRfP76nl989Zr9rmc6P/OHf/49Ly+B3e5zppRZlsg+Z7yS3880yy3J2o2LYRum8xx3O4z1\nvLy8yIMtRK7XiZRkcRlTJoZMDIWUhVUtJQ2NMZ7qHcY41phw2tEKzNerMD20J9XM/etX+PFANx7Z\nHR+4f/MLSkmEsMgN9Hzhej2RW6Tf3TP2PbcPd4yHEb1OtOpIobCsosp6ejrhbY82E+PkMVaxG/ew\n0yITNhrnHf14g9EGbaUOn2Ok5ELOUWKPJUPNsgxMMp/OuVByZV4irSm6sef8cqEqzdj3WKO4u71H\nW0eISXC4uWB7S1wXputHpsvEOi+0Jrz5vrP0vSOuE60W4fOsjTUU3n88cTotMs4xjYLDusruaNkf\n9+wPI0orQog8PxU0YL3GN80a5L8dcyXHvFG8JQ7adYKe7buOw2HEd5rbuwNdZ/Des9sd6PphQyAX\nYo5bG9SQYmW6rFyuF+Y1UFpBW8n851JZV5iuM2EJOGNZQ0C7TEyBNQZ6W2lr3pap0oZtKpOeTvRe\n8/rYcTwMHI8D1huG3crpImTEsTf4Xop1cygszwu5nLk97rjbea4hdQ8QAAAgAElEQVTnyMd3Gj/0\nvLof+eKLNxgNj48L62Vl7QKDH2gpMSfBClMT1CtxjmTTgTc0ZyX5M/QcjjfUUkg5EpO81WA01WRy\nKpSW0Bt7SLXN5tSL2lA1RSsGVTQBg7OD7D1toyGY3ISMRN0oD8mUlMDJakU5JyW98q/g8KZBCpmU\nA1p5dl7hvKMiZm9tKt2gKCFyvbyAUgx7DchTNmYp7XR4hm5gHAZub76g6z/j7e8/8J//81/wF3/x\nO+x+x9f3A1/98nOo8OnxREqFdUk8Pj1RWpUonPd4b+UPIMsfunP+x8gWWwllGGSmFV5ehDW9JRqs\n0uzHgRgiu2EgrHJq1rBQq2KeFKpZjvs9zvU85ys3tyN/+m9/wy9/8Wv67sB0fua7b37HP/3tf+e4\nP2ANaGdYU+NgO/a7gTUm5nnmMk3kZvC+0FuLtQptO/x4IMbANAfm9SPWnqhINli27JLS0MbgrN+g\n/5E1F/puTy4zWmtCWJi2lulyPXMbP2d/2G2jkw7f9bQq7sSKRZlEqtOWvtjTVCKsiffvnnh5fAEq\n8/UqaZx5IsUFazxDtwMq11NhGPbkXWa+zNvc3uE6jzESy+uGHmvk7SwGiTEaLVnvkgT32uJGTAyJ\nNWWcG9jvj5QYGbxndzgy7gacteSaSaXQDxLFU4gtfpmvTNNEDCPrLPPjlBshyfLvtGaul4Vpmrlc\n5m0csaKUZVkTQ6fwbsfxZs/DqwfuH44Mo8gqapW9yLyuxFb4+ClxfVmYpkyMkvz5YQS1HyyddQxe\n03nDfjAMOy+NwiIL/WkOhFRwTjLnpVaUglpX1hiY1wvX6crlsnC+rlyukXmRz2ZeF8ISqaWJKDrL\nm1dVjZAjRV8BSDHROcfYabwO9MPIvjcY76lmYw5Zhe88uybfr8/u97z5bEerkffvH/k+zsxLpeYd\nf/rv/pSvfrHj+fwdp8c/8Lu/y8T4BYf9wNDNrJdPvFsWrpcrD5+/YrfvSMtCDjO6KVBwvsw0JVKR\nzh1hb7i/vSN/8Ya4zlznhZgr13Xl4+mFsCykstBbQzGNnFb61NEPvXQZ0LSS0Mhbt/EDfqhoC7lU\ngs4bWjqJZ2RwkqbJcvFzRoBtWrefdPz9rA9v3RRedZSmUK3D6Rus3lHzSmkKjHBBlHdcr4XTyzMp\nGfyQiaWwrk1ktC3RHz1oz/PLyumbb/jrv/lHfvvb31F14PPP3/D5l/fc3e0J60IOEW3MZrmOeOc4\n7Ht8J6/iVGEkOC2Hm7Rq2lYAkMWgMXLrUU2R0Kzzwt3dEaM011bovGbo7VakKaRUmUPk9f3Aw43h\ncpl5/3gll0orCppFNUPLkRyuXM+PhPmC7zVuHFB2QvmJmxuL60dsFlt8iI3bO4deIuuSWNdEKkXm\nj1Hypt5L0oUm8+Haqsw6s8LWIpViLaWQ6zLLLWsNlLDSSmXNF5wLmPpaJBm6CYy3lo07A7qBt46x\nGwnXhfk0c3p+Yr6eISecUdAyS5hppRLiwuHQ0+0NYboSwgw6sw6B63kSyJNq+M6w242Mux15GFln\nu7FbMjlGahHOOa0Qg+wH5OaVuUxXunHHm8/3KAPGNIbdiPOWWjLKi3TYK8mJUzfTDYZx13Nzd8d0\nvTJfJ0IITEsgn65cX868TIHLeabWijKCSeiHTAgZqw27wXHcOXY7z9ALGIsmUb4Q5JafcmKaZx6f\nrzyeAjHKIVCLJKe8lTRTyMJRt94wL4nWFDFecDi6sSfXgnKGcTduXBZZ4lbkdl2qIjdFao01Z6Yo\nD+qUs9h9VMF7hbOKFBvLmqTkpg1rkZJb3+0YOsvYOfY7+ftyPIzY3rM7DmiV+fD+iet1QZmOw66D\nBpfnBd0yFsdhvwcjfP6n5wv7o0GZnlQCj89nwm8Ln73eU8rE9XSmG2559/ET37595Be/eMPD3Z64\nRtY4o7RlWSLLOXJ7e+Cz+69ARWgr8/TMfBGG0RqurJPMym1xQk/UhaahkSgpk6MC5xh8T+8rRp9Z\nVxnDlZxJaSU1MRUp5QlrESyHH9gZR5zltl1ywZtNR/gTfn7Wh7epCu93WHpK9Yz9PfthT8oTMWmq\nrlSTcNZyMMOmlpqoRJTRIpAtkgqZ55lcLed54be/e8u//P4PHA4d/dHx5esjD7dHSsloKvfHA9fL\nFbPvON7+mlqRW1qIki/e7emHfvtdKqw2aLvF77znerlK1VYp1nVlPi+Mg9z8l3kmxoBSFa0bvTeM\n3YGYFu6U481nd+iq+P77T1yXxDCIy3HcddQ6MV9fCEvC2gFjNahKQzMtkX5aiUksPUY7GoGYqrDT\nciGsieu6kRab7AS0VoQ1kJKAq7T1jLsjwziQSmNdApBwzuM7DYuYbEophJQJc4DS6IeBy/nE6fGJ\nYbejAV2/A9Smlrry9PTEh7fv+PD2LefnRy4vLyyXi7zqtkKrEd8b7m/vub89YEwlLlfO55W+cxgL\nl/OJNXxCa8PYdwxDBzlTc+Lp00d5OMUiqNDaxHteRXCbUhAYmJE3uN1xz/39A77b8J3KEuNMCCvW\nOZqq9MOI67wUeLKwwMu2V5jnlXlaheuSmshpncX1nt1xxHihNIZ1ZT5PxBApqbDbdew6y9h5Bm/x\nVsZqtRWmZebl+cTHjyc+fJh4egpcr4XaHP3eYoxApEqqKFW4LAvXRZax3dkxOCu/9iipkHG3QzmN\n7zvWKMyTznvcZpkqrRHilmtuGrQBrWgaSlO04lGI/KDzIgjJ9YdKveLWaWrOONdwtjAMnm5wZBTP\nc0YvScTbunC9rizXQCPT6YZvhpc5k6tEKucIMQfGzvG7f/gb/v63ipu7O+4+uyM3z3KdCfOCHRox\nR1w+YZXj7dt3/NV//1u++vqP+ON/8yWds5ASplZKWXl5ztQ64r1svmqyGN3TdQUfF1zX6EtHpx3L\nrFnKIm91tt/6BpmYBMFhtIydUk4oI1HCGK4kNWFGjdZCHmxFkXPGK+mUyAg24Hr1kw/ln/XhHddA\n3xTERomJmZVaO+ES6A7jRzITLVWcrhwPA7VaQrqScsDWitVGFovV8uHDC79/v/CHbx9xrnJ8faRz\nN5SmuVwle+mUZV1XLrHiTU/fOqlXt7LZyoQ21qg476QUopSAiTYH5DjsyHHBe0PNK72vjP1uA/hn\nGavUC4edxWgBVKW0A2VRON6frqLvSoUvPr/jN3/8FQ/3N+Rl5pt/+if++ZtvuU4LY+cY3bjJIprw\nnq0TY3hN0MTOvcaKs4aiM9N6IaSE9x3WdDSEypdiYg0raV6Z5sjh5o5h3GOtY1kXnDPs9zuWZeb9\n23dczwthyXz6+IzRjn4YOE2Zl+eJr5/O/OZP/pj7169pSvH06Ylvfv8vvP/+HacteZHWmbwuxGUh\nxhV04/buwMNntzzcH+kHyzpdiWvg/mFEGyPC3hTRFIyq1Kw4vSw8Pz5Sa5MH9AbfbzWhVMM5Q80y\n8+68EOvG2wPj4Zbj7T2dHyEHWl5R9AIc0hpTNTVWpniBui09WyXGQsoCUko505TGdh3duMPkDOvC\nITVeHgPn5ydqyeSYeHkR+XQ3Doy7HttZcknEZZVm3lqoKhHjyjwvXOaVl2llCZlhHNgfnTQRS8Ho\nQPMZ0zJLSMxLIMREm6Sd2TnH0O8YR8cwJA6HHYe9ZjdUnFPUmggpi0i7QgyZkgVpm6JEXsMqqjij\nBembU5OETt5sTN5iRsUUYG2CAB77nt55YYdEGa2l2pivZ9aYCEF0b94W0tJIeA47x/5wpGrLx8cX\n9r5xd9xTS+P9pxNPpyvTGnn77R+4u3nF/e2Rcd8wbuT1Z5/x5usHHj478dd/89f8l//3X/iXf/6a\nr3/1OfvBoJrAs6y2tJJArdDEbNP3lt1uR9dr7m8sH0+F8/UsMeJHDzrRjT26A0iU5cxUryw20lLE\n0qO1IpeFlrPQIC2oTng5YdHEVVONKPSaVmL50ggw7yf8/KwP73VaKUFwm8uaWNcP9HFGO0NTDZcC\n1onOLJWV3lu6zmxFBykdlNYoSTNPme/fzXz3/sL5fOLNqz3GDqAbL+cT56vG+4GwBp6fL6TSsH5m\nv+vZj51wmJui26q8MYSt0eahNlKR8ob8U+TmVgt+GHnwDm+dFCyql4VF6emcZ10juVYKmrBW0nXB\nOk9tEGLE+55Xrx5orXG5XLherz8SAlWVL0VPRyuZD48f+MVXv8Z3HZ/ev6OWwmh7Bi1gL4Ns1p3V\nODvSmiKEVeBQWmF8T5hXrtOFXCvTMuNcRz+MqC062PeiyJrOEzEu5LIS00xlRbUtArffsbu7ozqp\nnj+fnnh+/sD58pFpnQhxoZYk3kGr6HDc3d3y6rN79gfPOI5YqzFHw7CDZQm01ri56amHSssy8rlc\nZO6cUpLkiRd/ZogrpWSslmWYRuPHEec0dvA446Ekzs8fyWFi6DxKF5Y5cbgBaxXkiA7rlvNNNCop\nZ6qg0AihMKdKUQ6bFOjI9Xrh+dMT337zHf/wT99gNAy+Y10Dl2mWcU7TlJcrp1Z4eXGEUGlYDrcD\ntod5SXx898zjpxndOl6/+gxpyVZikh5Bs5bheKCpBucrqVxJRYo6xlhiztR1EQpkbsRQCEuk3O44\n7DuJsGWRScQNX5yyvKEZ6zjsDzibWNZIomFNJy7OUrG24a3DasFOWKRboYzGuIFaNefLgjEwjgND\np3GqUooi/QBK20w3WRXOc+ISgiBvk/hCX+ZFRkPbjqlW6Ul8/+GJp/PCv/13v0QnePfhPXaAN2/u\n+LM/+w94/T/4H//1z/nuH17x63/zR/zqN5/x8NChy4RKFygCFfPDHXY4MOwcfVc5P3tSfMd0qUzz\nlUAQAbVa0Al0UqBHeRPRCYtCq0qLlRQTZW0o7bBVoVlJbSWGzHq2LKanG8Q41Y+9XOji8pPOv5/1\n4d2KeO6s1fSdAlPY9YrhsKcpRcigdcQMHt08zvY4J6LgppRQ4bIYTU4vmW+/v/B4iazhQmk3zHMi\nxpmXywljHKVeeHp8Zp4DTVu6fuTufk8qit6KVEEpi3eWznup6pQiDkatpDlYy3bj66i1sD9ocpjQ\nWhHXzG7wrOvKbui5XBexi/c9tSW60fDqsGcYOnlApIHbu4GUAs/Pzz9G3JzveFyDqLdSweWK6jwp\nFlIt3B1vWeaZy+UiBvVccJ0wkedFdGK7/RHnOk7nZz59es+yCoog50KphWWdybXivPhBjwdPzo0Y\npVrtfc8wVA4HmY2OQ49qAu+PUW7TpRbG/cgXX37B7XHHdLnw8vLM0+Mnzk9PXE8nlnPD6Y77+x3W\nVmpKG+fCgnL4TqS1ILG2spEA2zThS8V2vbCsjcE6y/Vy4fxyQWtPTJXreUUbQ19gt3OEy8IyZVxn\nsVbzrBQay+3tDf3YbW8ZHb7rfiQggqaUSiwFbS1w5Xqd+ebtzDdvT7ycF9a0ksOEKhvoicZ+NyBt\n9EJTmiUm5mUSrkapDL0j5GcuU+Tu9Z5x7wmpcDpfOU8rqZqNr63pho7b/Z79IfH0/MKyrmQUuSEF\nqVpZ1wVtNNporDWbUagyLQvzcpUWaDrgrN2+qwJrmtZAzDJ+a8ghXUqmJEns0Iq0gpvklNGGVGRU\nNaVITFXyzGpm7DxdZ7FOJNIhSVEtb8Ur0yR2V1E0bQilsZwXWgkY6wg5c75cmdeCNZaHOwV6Zbc/\nkGthuVz55ttHvvrl54yd43qKqPDI4WD4+jd/RC6et9+dmeZPPH600I68eXPk1RdvSMsVhWV3+4pm\nNLe3Nxx3Gu8KT48XYnykFomIOrODWjG14otCD42koCgrPHntyCmRciOFzThlhR6pm5SnQoxENM1p\numNHPw54o5jC9Sedfz/rw3sYBnzfcbi9QaG5TgLu8Q587+jKjpglI9t3O5yRuXCMiZaDxLq8ZVTC\n7306r5yuhcNoUFjO5zPLXLnMgZQX5nlmXoOgP2tkXldSjpTc2I+ezlRqdnR2j1UVqytay0hFK43e\nbCyAqNiAvh85rTPT5cqu74GGHUacKSxrkixy0Tgv1WjfqS3u1aEwHMY9p+czKjeupydOH9+Jxmqb\nWaacWdaVbnBY31Fyoxt6mjKs68rx7hbnpUw0DCN3d3dM04oxmq5z3N7c0ho8vjxzuUwYo+l9Ry4C\n8jpNCx/TE7e3D1grD555Tjy/zLy8nOWzbo1cAkYpQl44nM/E+Yojsx87XHdLuX9gvlzpug8sU+Dd\n8pbz6URaZg5jRysrTiucddScmEuS+SuRWpsIF2phuor/b7c7YGxPiDNNWZQyxATa9Aw7xTwthDhx\nviysIWGMxQ+OvjPsOvP/kfdmu5ZdV5reN9vV7OZ00VEkJSpTVYayXAbKBduAAcO3ht/B75J+n7ow\nYNSFfWfYhQQy7UQmMiVVpVIiGWREMCJOt5vVzdYXY51Q+Sp1YwOyNkCADCLixN57rjnHHOP/v5+u\n8VzsNhityXEEFJfsmaaEcgljJozTPDw8cn9/IOZKQTPOM/M8Mk2ZNz8c+ea7D6ANX/z4M169uqbz\nlhiCBB+vafK5FOaQOA+zOF6zgK7alMgoxpS4GxacM1gvlX/VmcPhSMWy3V/R2h7d9Fxet7z88kvu\n7+/49a+/5ng6EqaFHBO+cZScZBiZRV7bbSUEwWrheYzzxEqboaIIKTEHMaHlmimlkNeb5TzJZ1dr\nJaWCc45WW2qIaCopi6QzxYIM7yI5aGpp6U2DdYphDExjZAkJlAz4vTerYc0IoriVm+MwLqji6HYN\ntVkYz2e+/vYN290lUzjRtAmjLb/69df88MNHXr7cc3V5yRfPX5DTlv7Ss7ncsRsSrQXvFsbhzO2d\nZnuxY3v5jDhLy/D62TW+3aEI7J8/49m7X1Hyt6S6lRAQm/BNQ00t2kSMzSwpEYsw5NGF6qqENywO\npQSHm/Is5MCV+qi1Zv10UMaDKoTwR4CEbbYtzreyAdkWpR8ZR2EXd7Zj1+5ZgiamScJbP5HqDKo6\nGmdpnIclMYSZ+8PIFAvPrrakWpjHhfNJYEEPh8Mn7kaNILK/wv3dwulw5GLX8cWray43DkWRsOEY\nUIBzXgw8JAkuWJGlxihSDFCNkPpUwFtHVRJCa73Dd57H08K8jHJd1S3jkJjHTN+3wsEYz9zNC29e\nf8Pj7XtUWcgKbg+PbDc9/X5LKpphnOH+nh99/mO+/MlPCGlhWRb2+wLKYG3L7kJRqZzOZw7HB3KS\nxCFdzdorThhjMdowJVHexCXzIbxnSQKwmueZ0zDxeD5Rosie5iXQeMfGGJZ54Xw6c3d7T0JjfccS\nIvcfPvL666/57tvf8Hj7gel0FuLi1uMctN6y7XsuL/dMKfBwPOGaDfv9niUsPN7dy6A0iYzNuwbr\nW0opK+RICHVt1zAvIzFNpDILaKgq5hOcp8yjTXhj2B0Xbi423FzuCGlhGAe00iwEmr7DFINpG5S3\nPN7eUzGcp5m3b2+pRXNxuedfP/9TmXlYjwKWWQKmWdGwecnrYFiGgyXLHCZrcM7R9B1NI4fiNFWa\nxtFvvLS2jFAbw3DmhGaeF+Z5y+XVBdvtJT/76sfUGPlhfM92s6VS0BphnuQKnWNaFoZpwhjFtpNr\ne60CeEq1yvV+SRTWW4aSsJAYkiTDF5ElFv3E5ZFMWK1Ba83+ohckrFFs2oZtJ2jXmAvTGIhZMrJz\nVWtU3Iw1npKFbb8E4RVZhDA5jmeKNnStpbEdN5c9p3NgOGdq6djtGl68ctxcOhpb+Q+//DWvNw/8\n/F98zpfpmhwiNU4Ua7m4fM7nnz+n9YVGZTa2IfiJ0/1rbM7cvNxA19JefMUXP6t88UMh/OPfcP/u\nbxnnl8SLG3TvqduepkRiyqQqUX3kNetVg28bvHYoL/MrXSzWRrYXmm1/Td93WC9rtKqMuCr+6dcf\n9Oa9u7xgt3/Jjz7/qZDm7PccD3diPKkOrRvaVlMnxTLPhCrhpTWbNUFDKITjFHn/cOL24czFTY+q\nnmE6My0zpzGyjJPIwBC9aqbSNy2d6zDWE2Lk8fGRxsHltqHkllqFbGeUFsB/kQ1dNOB1vcY7xnFk\nu93ROMu3337Dtt+w3W1Q2tB1rSBMnePx4YizgVefveDVq2dQK84Yri731Lzw3Zvveff2e0qY6VpL\nt92z3294+fwZ43hmnGe2Vxv6zQVTyHz11Y9RzvP6m98QYpbhpXHsN1t2l5cM5yMfb+84PZ4FzKMU\nRmliroxrunUp0PY9+yuJrTqOJ74fHjidT9Sq6DctOVWMs3Rdy9Zb2ran2fTMBR6GhaCP1PLI4eGB\nd2/f8P7t9zzcfeD8eGA+T6gCqioO3cJ+Vyg1UWrmRy9f8PkXX3I4jShjeNY+48WLF4Qwo1byobHu\nE4c6p0QIs6hjauX5qys++9E1tx8fef/hgfcfjixJZF/Ww37TkKpmCJG9kipSh4UUMsc54vtIUeC8\nw3d7Xn2+ZZgWfCi8fPkFWiVJYdKa0+HMu7f3HE+RSrMmYUdCWCTsuFROw8gwThgtCT77XcfV/oIX\nNzc8f76lpMDh8cD5PLEMgVoKO+fZ2ELMC+F8R5hazg8H3n//A33fYE3EVMXFboc2BmON9P99y/F0\n5vb2ICnmztI4K/mQWolLWAu4LATpbZcCykgiTi15bQlkCe5GoYxD8GkVrSGlJORMDF3bsd10bDqL\nX9OJfJEB3WmeiSnSGAlD8Vaz6Txt47BWU0phDpmEQWvPxU7aS/MUV/xEXeWNHmMycZ7xmws6v+Xl\ns55nF5e8+fCRv/+73/Du+0d+9rMb9ldX1OSZpxMlbdldf8bl9ZZ241iWhvO3J958/w2nU+Ly5Wf0\nz3q663/Gf/vf/yn/5Tjz9vu/590Pv+Xjhx84PpxRcRRs9JJXMqXCdQZlNFFrsi6gNEV5qlIYA9qc\nV6lxJsVCjpm2XchKPsXf5/WHvXlfXPPi1RfcPPuCMM+0/pHFnYUENz5g+xbjjUjDwrSGERt0FfSr\nTNXh9hB5dxtJKtM2QK1MIXEeIzEnlhTF2LH2q1vraBtP5wUvW0shZcUcIqdx4jyJNlcSaRJ5lpQW\n4Zc85WfKl6ZqJsWBvu+53F8yzwLfPx5PdF3D9dUFh4cz3QuJ1nrx4op/9Z//S3abLe/ffWQ8n6gl\ncrFv0PUZw/mM95bPv/icm2c3hGWhfPjAsxcN/W7P5198xeXNDe3uhi/3V/imZzyfqUaTKxjX0vY9\n/e4K2/R4f8vh4ZGcEyFoCg5Slf6m11hraRqP9579xQZvDXfbe4YpkKJcp9Fa0lpqxjby7zlFpmnE\nty3bzYbu5UtaZ2idonWKN2Hh+HAgLRlVC4eTZXN3jzGRnBOlFl786HNePr9hmCKFyvPnz8k58ubN\nWyqKGuK6IWr6vme331KLIoZIWAa8kxSfJVYOQyCNosBxTYN1DttoioZQCpuuQxnD8XzP9+8PuGZH\n1eLMazvDEiaGceHy4jl62/JwPHJ8PEm8V8zkmIT0t5yY5gXjG7klrJCygsX5VswafUfre5xtMdbR\nb3Z4r9cQ6ySBEbXSteIojSkxjvJeT+cHlpB5sJqYZlKqpFxXM4qEdsdUOBzPEiOIQRtNUY6CES+C\nUhK+sd5IqhJtf41prY7XIgQoWXJG9bopOaew2rJUSQk6zwtNrMKRwaMQSWUBbGPpVSO31CwhI623\ntN4K0AvQVtEqAWtKIpNiqzwpwnlYOI+DoB2WgN1taLqGuIzc3wecjTy72fLTH7+A8oHX777n3e0D\nn7+65MefXXF9sWGZA0sMLFXT+Z6u6Xj5ZeH7b37Lm7e/pdRCCIZaHfvrz7jeXdD/yZ/x0z/5jBgr\ny7SwDA88vH/Pm3fv+Xh7YJ5GLGCsJMXXVq9AsUROkLOEjKQURdhgHEoVlmEi1Exa/ggclq5pWULg\n7Q9vmU5nxuMjJUZKCsQ4cj4oXNvRectmYyXxZA0MtVaRo+Z4Drx+/ZFvvj1KxFSFysK8CORnjglt\nJIdRoT/BpVQtxGVhmWaWnNHOCdBKCy415IINUq0rKs4awjLLcKlp8M6RUpKNrESsUXz22UsOh4Fh\nGJBsGYXVis3GUgtsdnsudhdr2IIihYUUJi6vttzcbAnzjYQPAGjD/eOJ4/HIzeUNF5ctru24ev6c\ni5vn4BqMsfzoyz/lcH/LHAaUtWQsxvVyhW46Ie45gwZBjg4TMUchKFapeNq+QynFdB7ZtBvmfmFZ\nCr510uf3Fv0kf1q51N4CaWYeTpScJL0GRdt2NF64JH3fkVzCOgM6Y5zCaEuOlWmcmE5nNGtQgzZQ\nFdvtnv1+5MOHW4ZhJkuHghTBOUsqas01zYxT5nRcGMe4fqbirKxVkRw0TUvfeZTz+G4r/Ove8zDM\nfLi9Z7O74ebZNV/8+AVta3jz5j0PDwP3DwfuDwP397KhpxTpWkvfNISlsISCV0lkoNqSchW+unWk\nIP3fw3lG2xbzeOY4ngkpMp5nvDXstobOi5nGGIPNhZQHDscTucz4RmL2YhSp4JIKqaysFipUTdUG\nq62EcSvIJTKHiARJr3l9a3iD0aLeynktOrKkzVPl+zBWvl9nBH9cYkRVkRUar4g5cDwM1FxorUYr\n2firTpLWZBzGre1GBTEWYirUqiR6rlQwwp3xTlyjvi0o3aCtJ9YDYQatreSCukQphcPhjNGKOS7M\nS+bmqiHGgW++PjIeF7pmx7PniTgPpIMhW8PmsiP1Bt9p5nTP+3cTlEuWWTMfJ66fbUlhIuQZ297g\ntCGqStUa13i6vlsBYhNhUuimE/4JmTwvQn7MElTd2I5N17PpLDlPTOdCyQtx+SNAwtZcGOdHSnlk\nPE2MD49YtWCsIGBrKozTTKkNu66l1y2qRqIKZKeJ2vP945m/+yZwDJrdlZekmMVT8kwiCrhfKYw3\n6FohSRU9LEkChVebeOvsGpOVSNVQlCXETF2BS7KBaaHBRdEUWw3Oiq40Lme2u2uaTc933wX0LD3R\nGCJd29C0nucvXvDl56/ojEanwOevbkBd4bxQ73LKTMPIOAgKtEkAACAASURBVI4cDgfiPGFqwWgw\nqoGkuf1wR4yV7e6Cvt/QNB7XX2LbDc45tPHEDL4a+u0N2jQY16Ndi2kamocDh4cTp3FGOYNvWoxv\naBpL17QcHg/w8GTRELj9dnNJv+lovcjyclp55SWRw8jj+cTp8cwyz+QSOY+BeSmkWsGAcQptHcOS\nMY8nsIpLf4NrWlIJPD48EFPl6vIzlGnZbvfcf7xlOg3ErNDesqS4Dh8rORWMryidaTpH6w01yaFu\nlCaGhYdHwbXeXF8QsiOGQrtpuXn1kv+Mhb/+u3/kcZy4eziz2W757PmOi37D7f2B0ziSi7RUmiTQ\noVLgcBpIIeN9Q8kS+uuUIZWI9wZdBYQEAp5TWUwnpjp8VdLmoxCmRImO1IFWCzFl5pSo1gi8ag2q\niLmwpChRcihxwiot4DNVMatxjFolwGLF9VILtQgtUGktvJMloTCgPFollJbrfUmsRYbFWYdSkVSj\nxMohQdMSwF1RqhBqRtcqASNFiXS3tVgn6U8xxDXQQiL3lPZYZ/BK0zd2VaqIY7mhkkvg2WXD+RRR\nJUHxOGPwDlIcePfmwJI0Fc+2a9nuWrZtJswTb75/x4+/uMH652AEgtVEi3UdKMfj4ZHsA21rGYIl\n1gdiXdhdtSjb4m2L73vO4cDdxzd8/ctfcZ5AdXuUdaQpoaYDvhtQJZGXSKqFQhUFkDM0jZWcVW3p\nfKUUCVz5fV5/0Jv3w8MDprH4rhMuceOIy0gtErJQlBa33zxSjCW3LegIWFIofPPNA3/1Nx95d3uk\n22tCiCRjiEYs88ZYlFUUELs1MuWnrOD7WrFGC59EC5875sw4zbROU6R9KdViqiSSTPBjXPGYmqa1\n9G0DJbHMR5pux7ZvGQ6anDLKFkrRbPotz57d8OrVc/bbjRhL1gdMW2GFaKXomk6iu7SmbRqWZWKe\nZ96/F1LgeRiZlxXYtbuUqsloqJVoMtbLn2tUpa5c6v3Fc0kY941I4ZTCNp5hDoCm9Ruo0uvcX2he\n5ch2M5BSIcZKTBPTlLG6x+rKOA0o6yQVx7cYDafhjrffv+V0HDgezkzjjEatD34jTHHrV7Z5WNs1\nLaiCc4bHwyPj8JrTKBmPh/M9948fCVFuQ9pqvBdomTUO1/T0m0v6do/Rjjkm4ocH0rjgvBMNdMk8\nHg6Mw5lx23J1s+PZzQXPXj7nP82RX//2Ax8PJ37xy5FfIZmOIUfO0yRuxVgk6DcmSWyPUQ40W8gq\nk0P9REHUQGMcTkfGIZAsHMcFxkw/e3QBax3GGUgFVxTaeTZNQ9tVDDPDqRKXQlCRUmGeK8sijPIn\nJkqpSUQ6a2+11ExNgm4wxuDVClVT8v4pEoWmtcj9FBq79s+plSyYENQ6gHW+wTeemivGBJYU8c7i\nrUavsl6jDKpWoew5g7MyDM1F/r9zHm0MMUcqq9t109G1Hu8ERZBzphLpG4+zGV21aL+rBFK4vqNp\nesIciMNMrYam29D3FWNB1ZZNc0FRHu0anBelxxICftPy5Vc/43w48+HNW374+IGsNhjT0PQ94+i5\nfHZJzAuN2fHlVz9nd3nNzRc/5ev/8Es+vvuBOSyQ1ZripDFKi2hCSXixUgpnPJYof/eUcVZTVMXb\nPwKTzuF0pI6VTdrTNzts50B5rCmSID4nlqRW8HnFmYptOw5D4LffPPCXf3nHP343YFpHURGlCyFr\nVAkkxGJeqlw5lVLSOlEKbQ2uOEoptN5hrUFrqLVSSiFEAdjXDI0XjncuoneWDMlIyRnnDH2u1FjR\npqKzWLY7o9n3PUuY0cg1dFp7t23b0vUb4hJYphnjLE3biMRoXsTog+BxQwgSYTaOnM8D1ku8l9Z2\npaDJ+1piJC4J5wybbU/f96T9wmazo2s3WNvQbS5Aa4z1tO2G4/HE+/d3DMPESRm2mw04i6mW/e4S\nZ7yE9VbF4XBgmk6rsqYSQ0AZS5cN2vV0fUPbOk7HIx9/eBRmRgwYA9Y2ErsWK6fzTOc0bUjcPdzj\nuw5nPSkWNl3PMIz88PYNTW9JFXRjSctCGBOsUWvGSk97mGbZhFQhzIFu03P9vFLvj4Q5SrXn1oPZ\nsFIWBeDUNz0X+2suNwuv377jcYqi8a5Sfc5pYVoWUWSkVUVQK7WKPDAWaFoHIdG1GqsdVkHfGRqX\n0blwCnLIlqzQesIpYZN3ncc3Hh/E0VlLh/eGMSTOc2ROGWMUSwiyBpWA2Oqqtiq5op0BZdb1Kuns\ntUpLRCmF18JS8eJwEwxAo4npKbFH7O/WGJxmjfVT1BLJaeXSazksla40zmGo1BhRylGq/JymFVmg\n0pVaC6pWGYhK2x3rDTFLaHKqyLDPeYyW20LRMj/S2qE3ckPIaeUATZaCwZmOtpUQ6FpliFpJVCKY\nzDQHToeRTQOmtytkrcHYxOWrZzwcHnj8eOLdh9eEubK/eEmeI/Vx4dl1I2ya0vHi+b/g8vmf8JN/\n/nM+vv4H3n33Ld9++2u++/5bzqdE429o2wuUA1M1tQroLdZIUkLAbLzsIUab32v/M3/+53/+/87O\n+v/B6//8P/7Nn6PruvAKJSUqCd+IXtQ6jXcenTNKZaxvOI+Vv//FR/7dX73jmx9mqtVPia5rzFEB\npWhcR+MawiLGF6W0MI8Vawq4lv61txgr1EBFFXC/EfhRqRWlZbpeUcRSSKkwTdIaOJ0nzsNMWALj\nPJGC2IM1CNc6J5wVvXVVVUId2h7nGsmSNKKqQFWo0pNWT39XWJUtAn+y3glEyXsxlISEtY6+33A8\nnDgfH4hxXp2iFa0MGrOqCSoKQ6kGbSxd17PZbOi6FqOluljCLLFoxjKcB757/ZYwS+ZlnANaKXJK\nnB6P3L5/4OH+vEL+E3lNCKcohmFgnEYqEgzctZ7NpqXr/Mp70Vxc7fCN4e7jLafDeeWqR2JaWKZE\nzJWm3bK/uMY7TckjOc0oKtYZut7TdQ05B46HA4fDmXmRRPmmkTABSZKXw9c5u34fYhE32jCcJz7e\nnfjh7sAQArkqliVxno7MS5AwgVnIhGm9IdX6CdSKVk4s50nSg/rWc/1sS98Z+r7hvMycT4NAodYY\nvLIqnlJMjFNkmBYejmfefnzk/d3IcUqklc2dUqYqhfeeivokYChl7SGr363hp2ANrZ9ukAqrNd5a\nqYydxq4HmTVrFUnFaJnleCf9d2m3rO9QKZy1bLpG7ObO4IwEO5daZPiolejG1168s06qbiVmtmWJ\nhJRRykkAcxX3pkaKk6fvxDuDUkXWrpafPU2J87CwpILVDdttj7PCeHFaBAe6ZlRO7PqGi4sNWIsy\nnu32Atu2NH1LLJm723seH0ZJ2dEb9jcbTqd7jg8nGtdKj34e8May2+65urnixavPePHqJzx/8TnX\n+z2KyhgmUk0S4pAgLVU0lkquL6mIw9O6hv/mv/sf/sd/av/7g668fWMxuRJTQq0WWaPl4ahZJDs1\nBTSQkua3rw/87a8e+NtffOQ4zGhXQFdUsegqBD/jZDLutJPQ0rUn+EmbrYw82E6v6hPpvcvnrwhL\n5P7+kdFbdtt+PUk1zlsqmpgy05IYxih96Ri53Hds+xZvFLtN4HLXiZpMsyacQ9c2zNPMt9++5nQc\n2G030kc3wk6hytVYK0hB2iKgKVUxzQsZ8N6AdqSiUCHy4cMtKddVdVEJy8SxiAFjmRdOpxNt39Nt\neqxtZJGGIFWRabm4vMZ5z2n7yP3DAykWvFVsd1vaznJ6PHI+n5ingMJSVWQaR8bTiXFOHA4DDw9H\n+u3mU7yWbSRJfZ4ncfQpRUUSuBtnoQrMq5SWaRx4mI7s9tcoA+hMyXIFVbbj+uaCm6s9P/nyBQ/3\nd7z/cEsImdYrvKvUXHBeYxZDnkWy57zH9EZ6j1nWjqriWqUKS/vu8ZbT4YG3H94xTDNLqJ/ch08t\nsZL1pwpSDn4+GYmUKZQoLYKSM1NMWKPox2YNhpCbYt921GrQ1tL1jsbqtSefCEVJyj0Sixbi7yq2\nJcoAVga9it56UZGUxBIWxnkRfXu2OO9xbh3CA94ZnBOmjtJZsAhGo9HUJGdA23q0FgdmLdIX986C\n8qRcBDuRi4QmN04Cop/ef62kNeghxkCsoI3CodE645QEPXtnsAbSJIdymx2qVBrrqK3EvJVaVpaQ\n/B7nDMTCEiTdagmF4xDomsgre0nXauZhIYyF589arm+27HpDijM5gzWOZZkIS6Dvr7nodnz1p5q7\nDx94/e0bxsVze7jDvfdcXxV+eH3H6fbA1asrvId937Hd7XB9x37zBRf7n/DFl3/GNNxz9+E7vv/+\nG9798IEPH+45Po4UA0YVVJHPuVov7uE/hiSdaRrlxM0V3woatpRECrLZ5lSYpsJhiHz3fuIXvzny\n7duBaVlQOn3KbzQUtHY0jWKz7THaEJdEKRFtDDnGtccmyhFdZUErpOJ/mpJnYBwnainM3n5KtrfW\n0ACgCGus1DxHzsMisKeSiNViChzPMoDabcVeX6LI8nLVVMTiraiM4xljxFARU1zNHZqSZdKukPZM\nWBYeD48ch4H9fs92v2ez2eGalnGeOb9+zW63xyqhCMY4EcLCOA1obem3OzbbLShFjIllkfDktpXk\ncWPANT2+WaSqQNE0wlsJYWIYJkKaiVGGYCVHmkYRY+Y0yuDTNS2lRG4fj0yh0jYeZTxF5VU7bAhL\nwWDYbCwxRql6GkuMM3cfb/GbDt8aSXE2lRQnlqWl73bcPPuM589fcvPiAx8/3HI+jqQlYo2ja0W6\nlotjmgXAZKzGGgdWJo3S4hJJpNaK6hsurq55/nzmw+M7ptNMIeBtg1UtSxEMgMju+JRSk1Oi1ozV\nFaMqjWtQSlJXxjnw/v29MEWSJLlvuz3eO2xjaPqVBGgsYQ6chol5WShRYVqHM4VaNNZYlBI53xxl\nfVvrcF7T2IZcHP6oGJeFMBfIUXTJzkgbxAkWQAKqC6UII1xhoGpMNVit6TqLsQ2lSEtJboCaU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nl8r9/T3brsNomdbHnNnu95Keo8WlmVPg/vYjx+OZw9UVz24uyFk+1zBPVCQB3rcWaz1jmKXv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oxzQSzUDTJrjLFEl4hxZRKKTCKEjbqtaAeLi5EsJXVlESHh5/dMvsZoQd8NzCruYdCOFAuv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PlHzFh95efTg+Ih8aH7znel3YlogbOi5Wa9kjnXtBKIsUgpwCcY+UZqlCEHNG2j4qKaWX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\nQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.image as mpimg\n", + "test_image = mpimg.imread(os.path.join(\"images\",\"cnn\",\"test_image.png\"))[:, :, :channels]\n", + "plt.imshow(test_image)\n", + "plt.axis(\"off\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import tensorflow as tf\n", + "from nets.inception_v3 import inception_v3, inception_v3_arg_scope\n", + "import tensorflow.contrib.slim as slim\n", + "\n", + "tf.reset_default_graph()\n", + "\n", + "X = tf.placeholder(tf.float32, shape=[None, height, width, channels], name=\"X\")\n", + "with slim.arg_scope(inception_v3_arg_scope()):\n", + " logits, end_points = inception_v3(X, num_classes=1001, is_training=False)\n", + "predictions = end_points[\"Predictions\"]\n", + "saver = tf.train.Saver()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "X_test = test_image.reshape(-1, height, width, channels)\n", + "\n", + "with tf.Session() as sess:\n", + " saver.restore(sess, INCEPTION_V3_CHECKPOINT_PATH)\n", + " predictions_val = predictions.eval(feed_dict={X: X_test})" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'hyena, hyaena'" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "class_names[np.argmax(predictions_val[0])]" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([276])" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.argmax(predictions_val, axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "swing: 0.04%\n", + "beer bottle: 0.05%\n", + "common newt, Triturus vulgaris: 0.05%\n", + "red fox, Vulpes vulpes: 2.36%\n", + "hyena, hyaena: 93.85%\n" + ] + } + ], + "source": [ + "top_5 = np.argpartition(predictions_val[0], -5)[-5:]\n", + "top_5 = top_5[np.argsort(predictions_val[0][top_5])]\n", + "for i in top_5:\n", + " print(\"{0}: {1:.2f}%\".format(class_names[i], 100*predictions_val[0][i]))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Exercise solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Coming soon**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + }, + "nav_menu": {}, + "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, + "toc_cell": false, + "toc_section_display": "block", + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/14_recurrent_neural_networks.ipynb b/14_recurrent_neural_networks.ipynb new file mode 100644 index 000000000..440672371 --- /dev/null +++ b/14_recurrent_neural_networks.ipynb @@ -0,0 +1,2010 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Chapter 14 – Recurrent Neural Networks**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_This notebook contains all the sample code and solutions to the exercices in chapter 14._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# To support both python 2 and python 3\n", + "from __future__ import division, print_function, unicode_literals\n", + "\n", + "# Common imports\n", + "import numpy as np\n", + "import numpy.random as rnd\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "rnd.seed(42)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "\n", + "# Where to save the figures\n", + "PROJECT_ROOT_DIR = \".\"\n", + "CHAPTER_ID = \"rnn\"\n", + "\n", + "def save_fig(fig_id, tight_layout=True):\n", + " path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n", + " print(\"Saving figure\", fig_id)\n", + " if tight_layout:\n", + " plt.tight_layout()\n", + " plt.savefig(path, format='png', dpi=300)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then of course we will need TensorFlow:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import tensorflow as tf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Basic RNNs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Manual RNN" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_inputs = 3\n", + "n_neurons = 5\n", + "\n", + "X0 = tf.placeholder(tf.float32, [None, n_inputs])\n", + "X1 = tf.placeholder(tf.float32, [None, n_inputs])\n", + "\n", + "Wx = tf.Variable(tf.random_normal(shape=[n_inputs, n_neurons], dtype=tf.float32))\n", + "Wy = tf.Variable(tf.random_normal(shape=[n_neurons, n_neurons], dtype=tf.float32))\n", + "b = tf.Variable(tf.zeros([1, n_neurons], dtype=tf.float32))\n", + "\n", + "Y0 = tf.tanh(tf.matmul(X0, Wx) + b)\n", + "Y1 = tf.tanh(tf.matmul(Y0, Wy) + tf.matmul(X1, Wx) + b)\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "X0_batch = np.array([[0, 1, 2], [3, 4, 5], [6, 7, 8], [9, 0, 1]]) # t = 0\n", + "X1_batch = np.array([[9, 8, 7], [0, 0, 0], [6, 5, 4], [3, 2, 1]]) # t = 1\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " Y0_val, Y1_val = sess.run([Y0, Y1], feed_dict={X0: X0_batch, X1: X1_batch})" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0.99715191 -0.96573043 0.48263517 0.75103307 0.63005513]\n", + " [ 0.72274023 -0.99146956 -0.2785553 0.99997073 -0.09475061]\n", + " [-0.89563441 -0.99789727 -0.80001158 1. -0.7313292 ]\n", + " [-1. 1. 0.499874 0.99996275 -1. ]]\n" + ] + } + ], + "source": [ + "print(Y0_val)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-0.99999994 -0.30562368 -0.99982792 1. -0.99349439]\n", + " [ 0.97062987 -0.23609701 -0.92210275 0.48410925 -0.56634736]\n", + " [-1. 0.93040472 -0.87783211 0.99999487 -0.99165547]\n", + " [-0.99999988 0.99961126 0.94231671 -0.27352917 -0.9958083 ]]\n" + ] + } + ], + "source": [ + "print(Y1_val)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using `rnn()`" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_inputs = 3\n", + "n_neurons = 5\n", + "\n", + "X0 = tf.placeholder(tf.float32, [None, n_inputs])\n", + "X1 = tf.placeholder(tf.float32, [None, n_inputs])\n", + "\n", + "basic_cell = tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons)\n", + "output_seqs, states = tf.nn.rnn(basic_cell, [X0, X1], dtype=tf.float32)\n", + "Y0, Y1 = output_seqs\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "X0_batch = np.array([[0, 1, 2], [3, 4, 5], [6, 7, 8], [9, 0, 1]])\n", + "X1_batch = np.array([[9, 8, 7], [0, 0, 0], [6, 5, 4], [3, 2, 1]])\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " Y0_val, Y1_val = sess.run([Y0, Y1], feed_dict={X0: X0_batch, X1: X1_batch})" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-0.6512959 , 0.89083946, -0.85044301, 0.323282 , -0.8783927 ],\n", + " [-0.45838216, 0.99845564, -0.99198878, -0.54369295, -0.99836361],\n", + " [-0.20981368, 0.99997938, -0.99959975, -0.91445529, -0.99997944],\n", + " [ 0.99947661, -0.91491669, 0.80572295, -0.99604207, 0.81913596]], dtype=float32)" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Y0_val" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.76672292, 0.99991781, -0.9992581 , -0.99868894, -0.99994487],\n", + " [-0.79488361, 0.53733993, -0.80716753, -0.56864417, 0.08659729],\n", + " [ 0.13486399, 0.99889988, -0.99441969, -0.99375516, -0.9938038 ],\n", + " [ 0.88772398, 0.83640993, 0.25747493, -0.68455571, -0.60166305]], dtype=float32)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Y1_val" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from IPython.display import clear_output, Image, display, HTML\n", + "\n", + "def strip_consts(graph_def, max_const_size=32):\n", + " \"\"\"Strip large constant values from graph_def.\"\"\"\n", + " strip_def = tf.GraphDef()\n", + " for n0 in graph_def.node:\n", + " n = strip_def.node.add() \n", + " n.MergeFrom(n0)\n", + " if n.op == 'Const':\n", + " tensor = n.attr['value'].tensor\n", + " size = len(tensor.tensor_content)\n", + " if size > max_const_size:\n", + " tensor.tensor_content = \"b\"%size\n", + " return strip_def\n", + "\n", + "def show_graph(graph_def, max_const_size=32):\n", + " \"\"\"Visualize TensorFlow graph.\"\"\"\n", + " if hasattr(graph_def, 'as_graph_def'):\n", + " graph_def = graph_def.as_graph_def()\n", + " strip_def = strip_consts(graph_def, max_const_size=max_const_size)\n", + " code = \"\"\"\n", + " \n", + " \n", + "
\n", + " \n", + "
\n", + " \"\"\".format(data=repr(str(strip_def)), id='graph'+str(np.random.rand()))\n", + "\n", + " iframe = \"\"\"\n", + " \n", + " \"\"\".format(code.replace('\"', '"'))\n", + " display(HTML(iframe))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_graph(tf.get_default_graph())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Packing sequences" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_steps = 2\n", + "n_inputs = 3\n", + "n_neurons = 5\n", + "\n", + "X = tf.placeholder(tf.float32, [None, n_steps, n_inputs])\n", + "X_seqs = tf.unpack(tf.transpose(X, perm=[1, 0, 2]))\n", + "\n", + "basic_cell = tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons)\n", + "output_seqs, states = tf.nn.rnn(basic_cell, X_seqs, dtype=tf.float32)\n", + "outputs = tf.transpose(tf.pack(output_seqs), perm=[1, 0, 2])\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "X_batch = np.array([\n", + " # t = 0 t = 1 \n", + " [[0, 1, 2], [9, 8, 7]], # instance 1\n", + " [[3, 4, 5], [0, 0, 0]], # instance 2\n", + " [[6, 7, 8], [6, 5, 4]], # instance 3\n", + " [[9, 0, 1], [3, 2, 1]], # instance 4\n", + " ])\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " outputs_val = outputs.eval(feed_dict={X: X_batch})" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-0.97331583 1. 1. 0.97554523 -0.98747736]\n", + " [-0.82908219 -0.52926612 0.32085186 -0.54714954 0.79990309]\n", + " [-0.98323536 0.99997234 0.99994755 0.56912678 -0.41493124]\n", + " [-0.4494451 0.91924781 0.99745786 0.24391253 0.39466459]]\n" + ] + } + ], + "source": [ + "print(np.transpose(outputs_val, axes=[1, 0, 2])[1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using `dynamic_rnn()`" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_steps = 2\n", + "n_inputs = 3\n", + "n_neurons = 5\n", + "\n", + "X = tf.placeholder(tf.float32, [None, n_steps, n_inputs])\n", + "\n", + "basic_cell = tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons)\n", + "outputs, states = tf.nn.dynamic_rnn(basic_cell, X, dtype=tf.float32)\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "outputs = [[[-0.23382208 0.76683432 0.93643713 -0.80472916 -0.60019767]\n", + " [-0.99351406 0.99999964 0.99759728 -0.98060888 0.76075202]]\n", + "\n", + " [[-0.88139206 0.99887061 0.99753082 -0.981947 -0.64462322]\n", + " [ 0.29748455 0.72552329 0.09691043 0.03584142 0.32892999]]\n", + "\n", + " [[-0.98728108 0.99999523 0.99990696 -0.99846756 -0.68508393]\n", + " [-0.94087839 0.99995995 0.92983443 -0.8774581 0.71102041]]\n", + "\n", + " [[-0.99994767 0.99989921 -0.99988997 0.99813324 0.99946588]\n", + " [-0.96028382 0.98852354 -0.18959917 -0.63675886 -0.86672658]]]\n" + ] + } + ], + "source": [ + "X_batch = np.array([\n", + " [[0, 1, 2], [9, 8, 7]], # instance 1\n", + " [[3, 4, 5], [0, 0, 0]], # instance 2\n", + " [[6, 7, 8], [6, 5, 4]], # instance 3\n", + " [[9, 0, 1], [3, 2, 1]], # instance 4\n", + " ])\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " print(\"outputs =\", outputs.eval(feed_dict={X: X_batch}))" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_graph(tf.get_default_graph())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Setting the sequence lengths" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_steps = 2\n", + "n_inputs = 3\n", + "n_neurons = 5\n", + "\n", + "X = tf.placeholder(tf.float32, [None, n_steps, n_inputs])\n", + "seq_length = tf.placeholder(tf.int32, [None])\n", + "\n", + "basic_cell = tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons)\n", + "outputs, states = tf.nn.dynamic_rnn(basic_cell, X, sequence_length=seq_length, dtype=tf.float32)\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "X_batch = np.array([\n", + " # step 0 step 1\n", + " [[0, 1, 2], [9, 8, 7]], # instance 1\n", + " [[3, 4, 5], [0, 0, 0]], # instance 2 (padded with zero vectors)\n", + " [[6, 7, 8], [6, 5, 4]], # instance 3\n", + " [[9, 0, 1], [3, 2, 1]], # instance 4\n", + " ])\n", + "seq_length_batch = np.array([2, 1, 2, 2])\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " outputs_val, states_val = sess.run(\n", + " [outputs, states], feed_dict={X: X_batch, seq_length: seq_length_batch})" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[[ 0.942316 0.12856117 -0.34410363 -0.86847639 0.5787816 ]\n", + " [ 1. 0.99979937 -0.99980366 -0.87422884 0.99999756]]\n", + "\n", + " [[ 0.99999815 0.90053409 -0.96986437 -0.96849412 0.99667072]\n", + " [ 0. 0. 0. 0. 0. ]]\n", + "\n", + " [[ 1. 0.99293071 -0.9990412 -0.9927482 0.99997932]\n", + " [ 1. 0.99874562 -0.99058747 -0.28668702 0.99907541]]\n", + "\n", + " [[ 0.99998087 0.99997705 -0.98866355 0.99963832 0.98265362]\n", + " [ 0.96435863 0.97204041 -0.46794799 0.8993032 0.81080031]]]\n" + ] + } + ], + "source": [ + "print(outputs_val)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 1. 0.99979937 -0.99980366 -0.87422884 0.99999756]\n", + " [ 0.99999815 0.90053409 -0.96986437 -0.96849412 0.99667072]\n", + " [ 1. 0.99874562 -0.99058747 -0.28668702 0.99907541]\n", + " [ 0.96435863 0.97204041 -0.46794799 0.8993032 0.81080031]]\n" + ] + } + ], + "source": [ + "print(states_val)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Training a sequence classifier" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "from tensorflow.contrib.layers import fully_connected\n", + "\n", + "n_steps = 28\n", + "n_inputs = 28\n", + "n_neurons = 150\n", + "n_outputs = 10\n", + "\n", + "learning_rate = 0.001\n", + "\n", + "X = tf.placeholder(tf.float32, [None, n_steps, n_inputs])\n", + "y = tf.placeholder(tf.int32, [None])\n", + "\n", + "with tf.variable_scope(\"\", initializer=tf.contrib.layers.variance_scaling_initializer()):\n", + " basic_cell = tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons, activation=tf.nn.relu)\n", + " outputs, states = tf.nn.dynamic_rnn(basic_cell, X, dtype=tf.float32)\n", + "\n", + "logits = fully_connected(states, n_outputs, activation_fn=None)\n", + "xentropy = tf.nn.sparse_softmax_cross_entropy_with_logits(logits, y)\n", + "loss = tf.reduce_mean(xentropy)\n", + "optimizer = tf.train.AdamOptimizer(learning_rate=learning_rate)\n", + "training_op = optimizer.minimize(loss)\n", + "correct = tf.nn.in_top_k(logits, y, 1)\n", + "accuracy = tf.reduce_mean(tf.cast(correct, tf.float32))\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Extracting /tmp/data/train-images-idx3-ubyte.gz\n", + "Extracting /tmp/data/train-labels-idx1-ubyte.gz\n", + "Extracting /tmp/data/t10k-images-idx3-ubyte.gz\n", + "Extracting /tmp/data/t10k-labels-idx1-ubyte.gz\n" + ] + } + ], + "source": [ + "from tensorflow.examples.tutorials.mnist import input_data\n", + "mnist = input_data.read_data_sets(\"/tmp/data/\")\n", + "X_test = mnist.test.images.reshape((-1, n_steps, n_inputs))\n", + "y_test = mnist.test.labels" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 Train accuracy: 0.7 Test accuracy: 0.7218\n", + "1 Train accuracy: 0.72 Test accuracy: 0.776\n", + "2 Train accuracy: 0.866667 Test accuracy: 0.8695\n", + "3 Train accuracy: 0.926667 Test accuracy: 0.8955\n", + "4 Train accuracy: 0.94 Test accuracy: 0.9205\n", + "5 Train accuracy: 0.926667 Test accuracy: 0.92\n", + "6 Train accuracy: 0.966667 Test accuracy: 0.937\n", + "7 Train accuracy: 0.94 Test accuracy: 0.9383\n", + "8 Train accuracy: 0.913333 Test accuracy: 0.9453\n", + "9 Train accuracy: 0.953333 Test accuracy: 0.9363\n", + "10 Train accuracy: 0.98 Test accuracy: 0.9513\n", + "11 Train accuracy: 0.92 Test accuracy: 0.9499\n", + "12 Train accuracy: 0.98 Test accuracy: 0.9499\n", + "13 Train accuracy: 0.986667 Test accuracy: 0.9522\n", + "14 Train accuracy: 0.98 Test accuracy: 0.9509\n", + "15 Train accuracy: 0.953333 Test accuracy: 0.9579\n", + "16 Train accuracy: 0.98 Test accuracy: 0.9515\n", + "17 Train accuracy: 0.973333 Test accuracy: 0.9579\n", + "18 Train accuracy: 0.973333 Test accuracy: 0.9634\n", + "19 Train accuracy: 0.953333 Test accuracy: 0.9561\n", + "20 Train accuracy: 0.973333 Test accuracy: 0.9605\n", + "21 Train accuracy: 0.973333 Test accuracy: 0.9619\n", + "22 Train accuracy: 0.966667 Test accuracy: 0.9573\n", + "23 Train accuracy: 0.986667 Test accuracy: 0.9641\n", + "24 Train accuracy: 0.98 Test accuracy: 0.9575\n", + "25 Train accuracy: 0.966667 Test accuracy: 0.9542\n", + "26 Train accuracy: 0.973333 Test accuracy: 0.966\n", + "27 Train accuracy: 0.966667 Test accuracy: 0.964\n", + "28 Train accuracy: 0.966667 Test accuracy: 0.9644\n", + "29 Train accuracy: 0.953333 Test accuracy: 0.9676\n", + "30 Train accuracy: 0.96 Test accuracy: 0.9639\n", + "31 Train accuracy: 0.986667 Test accuracy: 0.9635\n", + "32 Train accuracy: 0.993333 Test accuracy: 0.9656\n", + "33 Train accuracy: 0.993333 Test accuracy: 0.9695\n", + "34 Train accuracy: 0.973333 Test accuracy: 0.963\n", + "35 Train accuracy: 0.98 Test accuracy: 0.9725\n", + "36 Train accuracy: 0.98 Test accuracy: 0.9694\n", + "37 Train accuracy: 0.986667 Test accuracy: 0.9689\n", + "38 Train accuracy: 1.0 Test accuracy: 0.9703\n", + "39 Train accuracy: 0.973333 Test accuracy: 0.9628\n", + "40 Train accuracy: 0.993333 Test accuracy: 0.9693\n", + "41 Train accuracy: 0.98 Test accuracy: 0.9716\n", + "42 Train accuracy: 1.0 Test accuracy: 0.968\n", + "43 Train accuracy: 0.986667 Test accuracy: 0.9719\n", + "44 Train accuracy: 0.986667 Test accuracy: 0.9695\n", + "45 Train accuracy: 0.96 Test accuracy: 0.9677\n", + "46 Train accuracy: 0.98 Test accuracy: 0.9724\n", + "47 Train accuracy: 0.973333 Test accuracy: 0.9727\n", + "48 Train accuracy: 0.993333 Test accuracy: 0.9721\n", + "49 Train accuracy: 0.98 Test accuracy: 0.9714\n", + "50 Train accuracy: 0.986667 Test accuracy: 0.9757\n", + "51 Train accuracy: 0.98 Test accuracy: 0.975\n", + "52 Train accuracy: 0.986667 Test accuracy: 0.9684\n", + "53 Train accuracy: 0.966667 Test accuracy: 0.9675\n", + "54 Train accuracy: 0.973333 Test accuracy: 0.9683\n", + "55 Train accuracy: 0.98 Test accuracy: 0.9693\n", + "56 Train accuracy: 0.98 Test accuracy: 0.9706\n", + "57 Train accuracy: 0.973333 Test accuracy: 0.9743\n", + "58 Train accuracy: 0.973333 Test accuracy: 0.9719\n", + "59 Train accuracy: 1.0 Test accuracy: 0.9748\n", + "60 Train accuracy: 0.98 Test accuracy: 0.9736\n", + "61 Train accuracy: 0.98 Test accuracy: 0.972\n", + "62 Train accuracy: 0.98 Test accuracy: 0.9671\n", + "63 Train accuracy: 0.993333 Test accuracy: 0.9762\n", + "64 Train accuracy: 0.993333 Test accuracy: 0.9758\n", + "65 Train accuracy: 0.993333 Test accuracy: 0.9759\n", + "66 Train accuracy: 0.986667 Test accuracy: 0.9725\n", + "67 Train accuracy: 0.993333 Test accuracy: 0.9796\n", + "68 Train accuracy: 0.993333 Test accuracy: 0.9719\n", + "69 Train accuracy: 1.0 Test accuracy: 0.977\n", + "70 Train accuracy: 1.0 Test accuracy: 0.9778\n", + "71 Train accuracy: 0.98 Test accuracy: 0.9774\n", + "72 Train accuracy: 0.993333 Test accuracy: 0.9753\n", + "73 Train accuracy: 0.986667 Test accuracy: 0.9769\n", + "74 Train accuracy: 0.986667 Test accuracy: 0.9732\n", + "75 Train accuracy: 1.0 Test accuracy: 0.9754\n", + "76 Train accuracy: 0.986667 Test accuracy: 0.9744\n", + "77 Train accuracy: 0.98 Test accuracy: 0.9798\n", + "78 Train accuracy: 0.986667 Test accuracy: 0.9764\n", + "79 Train accuracy: 0.993333 Test accuracy: 0.9783\n", + "80 Train accuracy: 0.98 Test accuracy: 0.9752\n", + "81 Train accuracy: 0.973333 Test accuracy: 0.9775\n", + "82 Train accuracy: 0.986667 Test accuracy: 0.9793\n", + "83 Train accuracy: 0.986667 Test accuracy: 0.9707\n", + "84 Train accuracy: 0.986667 Test accuracy: 0.9721\n", + "85 Train accuracy: 0.973333 Test accuracy: 0.9782\n", + "86 Train accuracy: 0.986667 Test accuracy: 0.9756\n", + "87 Train accuracy: 1.0 Test accuracy: 0.9775\n", + "88 Train accuracy: 0.986667 Test accuracy: 0.9786\n", + "89 Train accuracy: 0.973333 Test accuracy: 0.9731\n", + "90 Train accuracy: 0.973333 Test accuracy: 0.9722\n", + "91 Train accuracy: 0.986667 Test accuracy: 0.9783\n", + "92 Train accuracy: 0.993333 Test accuracy: 0.9783\n", + "93 Train accuracy: 0.96 Test accuracy: 0.9761\n", + "94 Train accuracy: 0.98 Test accuracy: 0.9767\n", + "95 Train accuracy: 0.966667 Test accuracy: 0.9764\n", + "96 Train accuracy: 0.993333 Test accuracy: 0.971\n", + "97 Train accuracy: 1.0 Test accuracy: 0.9783\n", + "98 Train accuracy: 0.986667 Test accuracy: 0.9804\n", + "99 Train accuracy: 1.0 Test accuracy: 0.9772\n" + ] + } + ], + "source": [ + "n_epochs = 100\n", + "batch_size = 150\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for epoch in range(n_epochs):\n", + " for iteration in range(len(mnist.test.labels)//batch_size):\n", + " X_batch, y_batch = mnist.train.next_batch(batch_size)\n", + " X_batch = X_batch.reshape((-1, n_steps, n_inputs))\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + " acc_train = accuracy.eval(feed_dict={X: X_batch, y: y_batch})\n", + " acc_test = accuracy.eval(feed_dict={X: X_test, y: y_test})\n", + " print(epoch, \"Train accuracy:\", acc_train, \"Test accuracy:\", acc_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Multi-layer RNN" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "from tensorflow.contrib.layers import fully_connected\n", + "\n", + "n_steps = 28\n", + "n_inputs = 28\n", + "n_neurons1 = 150\n", + "n_neurons2 = 100\n", + "n_outputs = 10\n", + "\n", + "learning_rate = 0.001\n", + "\n", + "X = tf.placeholder(tf.float32, [None, n_steps, n_inputs])\n", + "y = tf.placeholder(tf.int32, [None])\n", + "\n", + "hidden1 = tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons1, activation=tf.nn.relu)\n", + "hidden2 = tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons2, activation=tf.nn.relu)\n", + "multi_layer_cell = tf.nn.rnn_cell.MultiRNNCell([hidden1, hidden2])\n", + "outputs, states = tf.nn.dynamic_rnn(multi_layer_cell, X, dtype=tf.float32)\n", + "\n", + "logits = fully_connected(states, n_outputs, activation_fn=None)\n", + "xentropy = tf.nn.sparse_softmax_cross_entropy_with_logits(logits, y)\n", + "loss = tf.reduce_mean(xentropy)\n", + "optimizer = tf.train.AdamOptimizer(learning_rate=learning_rate)\n", + "training_op = optimizer.minimize(loss)\n", + "correct = tf.nn.in_top_k(logits, y, 1)\n", + "accuracy = tf.reduce_mean(tf.cast(correct, tf.float32))\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 Train accuracy: 0.693333 Test accuracy: 0.6555\n", + "1 Train accuracy: 0.84 Test accuracy: 0.8482\n", + "2 Train accuracy: 0.853333 Test accuracy: 0.8747\n", + "3 Train accuracy: 0.96 Test accuracy: 0.9187\n", + "4 Train accuracy: 0.96 Test accuracy: 0.9432\n", + "5 Train accuracy: 0.933333 Test accuracy: 0.9385\n", + "6 Train accuracy: 0.926667 Test accuracy: 0.9435\n", + "7 Train accuracy: 0.96 Test accuracy: 0.9517\n", + "8 Train accuracy: 0.966667 Test accuracy: 0.9461\n", + "9 Train accuracy: 0.953333 Test accuracy: 0.9553\n", + "10 Train accuracy: 0.98 Test accuracy: 0.9625\n", + "11 Train accuracy: 0.946667 Test accuracy: 0.9605\n", + "12 Train accuracy: 0.96 Test accuracy: 0.9676\n", + "13 Train accuracy: 0.993333 Test accuracy: 0.9589\n", + "14 Train accuracy: 0.973333 Test accuracy: 0.9644\n", + "15 Train accuracy: 0.96 Test accuracy: 0.9632\n", + "16 Train accuracy: 0.966667 Test accuracy: 0.962\n", + "17 Train accuracy: 0.98 Test accuracy: 0.9649\n", + "18 Train accuracy: 0.966667 Test accuracy: 0.9648\n", + "19 Train accuracy: 0.986667 Test accuracy: 0.968\n", + "20 Train accuracy: 0.946667 Test accuracy: 0.9666\n", + "21 Train accuracy: 0.98 Test accuracy: 0.9706\n", + "22 Train accuracy: 0.94 Test accuracy: 0.9553\n", + "23 Train accuracy: 0.98 Test accuracy: 0.9735\n", + "24 Train accuracy: 0.966667 Test accuracy: 0.967\n", + "25 Train accuracy: 0.986667 Test accuracy: 0.9683\n", + "26 Train accuracy: 0.966667 Test accuracy: 0.9757\n", + "27 Train accuracy: 0.986667 Test accuracy: 0.9713\n", + "28 Train accuracy: 0.986667 Test accuracy: 0.9745\n", + "29 Train accuracy: 0.993333 Test accuracy: 0.9688\n", + "30 Train accuracy: 0.946667 Test accuracy: 0.9683\n", + "31 Train accuracy: 0.98 Test accuracy: 0.9726\n", + "32 Train accuracy: 0.98 Test accuracy: 0.971\n", + "33 Train accuracy: 0.973333 Test accuracy: 0.9728\n", + "34 Train accuracy: 0.98 Test accuracy: 0.9752\n", + "35 Train accuracy: 0.98 Test accuracy: 0.9767\n", + "36 Train accuracy: 0.98 Test accuracy: 0.9754\n", + "37 Train accuracy: 0.986667 Test accuracy: 0.9758\n", + "38 Train accuracy: 0.98 Test accuracy: 0.9742\n", + "39 Train accuracy: 0.993333 Test accuracy: 0.9656\n", + "40 Train accuracy: 0.986667 Test accuracy: 0.977\n", + "41 Train accuracy: 0.973333 Test accuracy: 0.9778\n", + "42 Train accuracy: 0.966667 Test accuracy: 0.9764\n", + "43 Train accuracy: 0.986667 Test accuracy: 0.9778\n", + "44 Train accuracy: 0.98 Test accuracy: 0.9753\n", + "45 Train accuracy: 0.993333 Test accuracy: 0.9798\n", + "46 Train accuracy: 0.98 Test accuracy: 0.9723\n", + "47 Train accuracy: 0.98 Test accuracy: 0.9709\n", + "48 Train accuracy: 0.993333 Test accuracy: 0.9774\n", + "49 Train accuracy: 0.973333 Test accuracy: 0.9789\n", + "50 Train accuracy: 1.0 Test accuracy: 0.9769\n", + "51 Train accuracy: 0.993333 Test accuracy: 0.9748\n", + "52 Train accuracy: 0.966667 Test accuracy: 0.9739\n", + "53 Train accuracy: 0.986667 Test accuracy: 0.9768\n", + "54 Train accuracy: 0.986667 Test accuracy: 0.9739\n", + "55 Train accuracy: 0.993333 Test accuracy: 0.9795\n", + "56 Train accuracy: 0.993333 Test accuracy: 0.9788\n", + "57 Train accuracy: 1.0 Test accuracy: 0.9782\n", + "58 Train accuracy: 0.973333 Test accuracy: 0.9696\n", + "59 Train accuracy: 0.973333 Test accuracy: 0.9694\n", + "60 Train accuracy: 1.0 Test accuracy: 0.9804\n", + "61 Train accuracy: 0.993333 Test accuracy: 0.9789\n", + "62 Train accuracy: 0.993333 Test accuracy: 0.9776\n", + "63 Train accuracy: 0.993333 Test accuracy: 0.9786\n", + "64 Train accuracy: 1.0 Test accuracy: 0.9746\n", + "65 Train accuracy: 0.986667 Test accuracy: 0.9815\n", + "66 Train accuracy: 1.0 Test accuracy: 0.9787\n", + "67 Train accuracy: 0.986667 Test accuracy: 0.9793\n", + "68 Train accuracy: 0.98 Test accuracy: 0.9811\n", + "69 Train accuracy: 0.986667 Test accuracy: 0.976\n", + "70 Train accuracy: 1.0 Test accuracy: 0.9776\n", + "71 Train accuracy: 0.986667 Test accuracy: 0.9779\n", + "72 Train accuracy: 0.986667 Test accuracy: 0.9844\n", + "73 Train accuracy: 0.98 Test accuracy: 0.9807\n", + "74 Train accuracy: 1.0 Test accuracy: 0.9792\n", + "75 Train accuracy: 1.0 Test accuracy: 0.9794\n", + "76 Train accuracy: 0.993333 Test accuracy: 0.9771\n", + "77 Train accuracy: 1.0 Test accuracy: 0.9786\n", + "78 Train accuracy: 0.993333 Test accuracy: 0.9802\n", + "79 Train accuracy: 0.973333 Test accuracy: 0.9819\n", + "80 Train accuracy: 0.986667 Test accuracy: 0.9779\n", + "81 Train accuracy: 0.993333 Test accuracy: 0.9777\n", + "82 Train accuracy: 0.993333 Test accuracy: 0.982\n", + "83 Train accuracy: 0.993333 Test accuracy: 0.9797\n", + "84 Train accuracy: 1.0 Test accuracy: 0.9787\n", + "85 Train accuracy: 0.993333 Test accuracy: 0.9788\n", + "86 Train accuracy: 0.986667 Test accuracy: 0.9808\n", + "87 Train accuracy: 0.973333 Test accuracy: 0.9762\n", + "88 Train accuracy: 0.993333 Test accuracy: 0.9772\n", + "89 Train accuracy: 0.993333 Test accuracy: 0.9833\n", + "90 Train accuracy: 1.0 Test accuracy: 0.9819\n", + "91 Train accuracy: 0.993333 Test accuracy: 0.9786\n", + "92 Train accuracy: 1.0 Test accuracy: 0.984\n", + "93 Train accuracy: 0.993333 Test accuracy: 0.9816\n", + "94 Train accuracy: 0.986667 Test accuracy: 0.9831\n", + "95 Train accuracy: 0.986667 Test accuracy: 0.9839\n", + "96 Train accuracy: 0.993333 Test accuracy: 0.9826\n", + "97 Train accuracy: 1.0 Test accuracy: 0.9835\n", + "98 Train accuracy: 0.986667 Test accuracy: 0.981\n", + "99 Train accuracy: 0.993333 Test accuracy: 0.9843\n" + ] + } + ], + "source": [ + "n_epochs = 100\n", + "batch_size = 150\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for epoch in range(n_epochs):\n", + " for iteration in range(len(mnist.test.labels)//batch_size):\n", + " X_batch, y_batch = mnist.train.next_batch(batch_size)\n", + " X_batch = X_batch.reshape((-1, n_steps, n_inputs))\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + " acc_train = accuracy.eval(feed_dict={X: X_batch, y: y_batch})\n", + " acc_test = accuracy.eval(feed_dict={X: X_test, y: y_test})\n", + " print(epoch, \"Train accuracy:\", acc_train, \"Test accuracy:\", acc_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Time series" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "t_min, t_max = 0, 30\n", + "resolution = 0.1\n", + "\n", + "def time_series(t):\n", + " return t * np.sin(t) / 3 + 2 * np.sin(t*5)\n", + "\n", + "def next_batch(batch_size, n_steps):\n", + " t0 = np.random.rand(batch_size, 1) * (t_max - t_min - n_steps * resolution)\n", + " Ts = t0 + np.arange(0., n_steps + 1) * resolution\n", + " ys = time_series(Ts)\n", + " return ys[:, :-1].reshape(-1, n_steps, 1), ys[:, 1:].reshape(-1, n_steps, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure time_series_plot\n" + ] + }, + { + "data": { + "image/png": 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2AmIVEREpYPFiyM72SZATT4RWreD992HQoFhHJuWtdm2AHEqXrMgJrBe7bZdE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\nOuf2F5K9sNeve4oghFjmOOduzJX0HzN7C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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = np.linspace(t_min, t_max, (t_max - t_min) // resolution)\n", + "\n", + "n_steps = 20\n", + "t_instance = np.linspace(12.2, 12.2 + resolution * (n_steps + 1), n_steps + 1)\n", + "\n", + "plt.figure(figsize=(11,4))\n", + "plt.subplot(121)\n", + "plt.title(\"A time series (generated)\", fontsize=14)\n", + "plt.plot(t, time_series(t), label=r\"$t . \\sin(t) / 3 + 2 . \\sin(5t)$\")\n", + "plt.plot(t_instance[:-1], time_series(t_instance[:-1]), \"b-\", linewidth=3, label=\"A training instance\")\n", + "plt.legend(loc=\"lower left\", fontsize=14)\n", + "plt.axis([0, 30, -17, 13])\n", + "plt.xlabel(\"Time\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "plt.subplot(122)\n", + "plt.title(\"A training instance\", fontsize=14)\n", + "plt.plot(t_instance[:-1], time_series(t_instance[:-1]), \"bo\", markersize=10, label=\"instance\")\n", + "plt.plot(t_instance[1:], time_series(t_instance[1:]), \"w*\", markersize=10, label=\"target\")\n", + "plt.legend(loc=\"upper left\")\n", + "plt.xlabel(\"Time\")\n", + "\n", + "\n", + "save_fig(\"time_series_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "X_batch, y_batch = next_batch(1, n_steps)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-2.92904642, -3.67374968],\n", + " [-3.67374968, -3.918505 ],\n", + " [-3.918505 , -3.72330675],\n", + " [-3.72330675, -3.25210323],\n", + " [-3.25210323, -2.73142518],\n", + " [-2.73142518, -2.39372837],\n", + " [-2.39372837, -2.41933451],\n", + " [-2.41933451, -2.89119797],\n", + " [-2.89119797, -3.77358492],\n", + " [-3.77358492, -4.91989615],\n", + " [-4.91989615, -6.10772886],\n", + " [-6.10772886, -7.09260281],\n", + " [-7.09260281, -7.6672054 ],\n", + " [-7.6672054 , -7.71165809],\n", + " [-7.71165809, -7.22250348],\n", + " [-7.22250348, -6.31332144],\n", + " [-6.31332144, -5.18682705],\n", + " [-5.18682705, -4.08528436],\n", + " [-4.08528436, -3.23137752],\n", + " [-3.23137752, -2.77401558]])" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.c_[X_batch[0], y_batch[0]]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using an `OuputProjectionWrapper`" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "from tensorflow.contrib.layers import fully_connected\n", + "\n", + "n_steps = 20\n", + "n_inputs = 1\n", + "n_neurons = 100\n", + "n_outputs = 1\n", + "\n", + "X = tf.placeholder(tf.float32, [None, n_steps, n_inputs])\n", + "y = tf.placeholder(tf.float32, [None, n_steps, n_outputs])\n", + "\n", + "cell = tf.nn.rnn_cell.OutputProjectionWrapper(\n", + " tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons, activation=tf.nn.relu),\n", + " output_size=n_outputs)\n", + "outputs, states = tf.nn.dynamic_rnn(cell, X, dtype=tf.float32)\n", + "\n", + "n_outputs = 1\n", + "learning_rate = 0.001\n", + "\n", + "loss = tf.reduce_sum(tf.square(outputs - y))\n", + "optimizer = tf.train.AdamOptimizer(learning_rate=learning_rate)\n", + "training_op = optimizer.minimize(loss)\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 \tMSE: 18363.0\n", + "100 \tMSE: 460.264\n", + "200 \tMSE: 188.349\n", + "300 \tMSE: 79.7485\n", + "400 \tMSE: 55.1912\n", + "500 \tMSE: 62.5532\n", + "600 \tMSE: 48.6516\n", + "700 \tMSE: 48.1635\n", + "800 \tMSE: 43.9179\n", + "900 \tMSE: 48.5993\n", + "[[[-3.47008657]\n", + " [-2.51267362]\n", + " [-1.18296444]\n", + " [ 0.68082786]\n", + " [ 2.2347033 ]\n", + " [ 3.12824368]\n", + " [ 3.52223229]\n", + " [ 3.32184052]\n", + " [ 2.83389449]\n", + " [ 2.18490314]\n", + " [ 1.69169581]\n", + " [ 1.5186218 ]\n", + " [ 1.9225558 ]\n", + " [ 2.73621488]\n", + " [ 3.85639024]\n", + " [ 5.07873535]\n", + " [ 6.10591364]\n", + " [ 6.67857647]\n", + " [ 6.67601919]\n", + " [ 6.06514454]]]\n" + ] + } + ], + "source": [ + "n_iterations = 1000\n", + "batch_size = 50\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for iteration in range(n_iterations):\n", + " X_batch, y_batch = next_batch(batch_size, n_steps)\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + " if iteration % 100 == 0:\n", + " mse = loss.eval(feed_dict={X: X_batch, y: y_batch})\n", + " print(iteration, \"\\tMSE:\", mse)\n", + " \n", + " X_new = time_series(np.array(t_instance[:-1].reshape(-1, n_steps, n_inputs)))\n", + " y_pred = sess.run(outputs, feed_dict={X: X_new})\n", + " print(y_pred)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saving figure time_series_pred_plot\n" + ] + }, + { + "data": { + "image/png": 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gMOjz589rrbVu2bKlNhgM+uDBg/l9kpKStLu7u/7LX/6S3xYYGKiHDBlS4thTp07VBoPB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\nSJSUOImIiIhESYmTiIiISJT+P/OTKb2pXYTlAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title(\"Testing the model\", fontsize=14)\n", + "plt.plot(t_instance[:-1], time_series(t_instance[:-1]), \"bo\", markersize=10, label=\"instance\")\n", + "plt.plot(t_instance[1:], time_series(t_instance[1:]), \"w*\", markersize=10, label=\"target\")\n", + "plt.plot(t_instance[1:], y_pred[0,:,0], \"r.\", markersize=10, label=\"prediction\")\n", + "plt.legend(loc=\"upper left\")\n", + "plt.xlabel(\"Time\")\n", + "\n", + "save_fig(\"time_series_pred_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Without using an `OutputProjectionWrapper`" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "from tensorflow.contrib.layers import fully_connected\n", + "\n", + "n_steps = 20\n", + "n_inputs = 1\n", + "n_neurons = 100\n", + "\n", + "X = tf.placeholder(tf.float32, [None, n_steps, n_inputs])\n", + "y = tf.placeholder(tf.float32, [None, n_steps, n_outputs])\n", + "\n", + "basic_cell = tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons, activation=tf.nn.relu)\n", + "rnn_outputs, states = tf.nn.dynamic_rnn(basic_cell, X, dtype=tf.float32)\n", + "\n", + "n_outputs = 1\n", + "learning_rate = 0.001\n", + "\n", + "stacked_rnn_outputs = tf.reshape(rnn_outputs, [-1, n_neurons])\n", + "stacked_outputs = fully_connected(stacked_rnn_outputs, n_outputs, activation_fn=None)\n", + "outputs = tf.reshape(stacked_outputs, [-1, n_steps, n_outputs])\n", + "\n", + "loss = tf.reduce_sum(tf.square(outputs - y))\n", + "optimizer = tf.train.AdamOptimizer(learning_rate=learning_rate)\n", + "training_op = optimizer.minimize(loss)\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 \tMSE: 22003.0\n", + "100 \tMSE: 627.62\n", + "200 \tMSE: 277.0\n", + "300 \tMSE: 147.352\n", + "400 \tMSE: 76.7669\n", + "500 \tMSE: 58.6978\n", + "600 \tMSE: 51.0611\n", + "700 \tMSE: 58.2317\n", + "800 \tMSE: 43.9699\n", + "900 \tMSE: 49.0574\n", + "[[[-3.50358176]\n", + " [-2.55776238]\n", + " [-1.18039787]\n", + " [ 0.65069014]\n", + " [ 2.09318376]\n", + " [ 3.07957363]\n", + " [ 3.51863217]\n", + " [ 3.34387612]\n", + " [ 2.83897853]\n", + " [ 2.18822718]\n", + " [ 1.71263635]\n", + " [ 1.46465611]\n", + " [ 1.85618472]\n", + " [ 2.77506709]\n", + " [ 3.92803097]\n", + " [ 5.13883114]\n", + " [ 6.15240669]\n", + " [ 6.66308022]\n", + " [ 6.65433741]\n", + " [ 6.08840942]]]\n" + ] + } + ], + "source": [ + "n_iterations = 1000\n", + "batch_size = 50\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for iteration in range(n_iterations):\n", + " X_batch, y_batch = next_batch(batch_size, n_steps)\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + " if iteration % 100 == 0:\n", + " mse = loss.eval(feed_dict={X: X_batch, y: y_batch})\n", + " print(iteration, \"\\tMSE:\", mse)\n", + " \n", + " X_new = time_series(np.array(t_instance[:-1].reshape(-1, n_steps, n_inputs)))\n", + " y_pred = sess.run(outputs, feed_dict={X: X_new})\n", + " print(y_pred)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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3v/+9eFuPHj308OHDK+x75syZ2mAw2NyXm5tb4ueCggLdvXt3PXjw4BLblVLa3d1dnzp1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\nanMz+02U6/yJeGPuz+RX8RgF/DVwCG+OiukR6gzHe+S0Dng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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title(\"Testing the model\", fontsize=14)\n", + "plt.plot(t_instance[:-1], time_series(t_instance[:-1]), \"bo\", markersize=10, label=\"instance\")\n", + "plt.plot(t_instance[1:], time_series(t_instance[1:]), \"w*\", markersize=10, label=\"target\")\n", + "plt.plot(t_instance[1:], y_pred[0,:,0], \"r.\", markersize=10, label=\"prediction\")\n", + "plt.legend(loc=\"upper left\")\n", + "plt.xlabel(\"Time\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Generating a creative new sequence" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 \tMSE: 14983.2\n", + "100 \tMSE: 469.065\n", + "200 \tMSE: 201.205\n", + "300 \tMSE: 67.0939\n", + "400 \tMSE: 66.6101\n", + "500 \tMSE: 59.1983\n", + "600 \tMSE: 51.0404\n", + "700 \tMSE: 52.3786\n", + "800 \tMSE: 52.3609\n", + "900 \tMSE: 47.2635\n", + "1000 \tMSE: 50.3522\n", + "1100 \tMSE: 50.9879\n", + "1200 \tMSE: 52.5301\n", + "1300 \tMSE: 39.9322\n", + "1400 \tMSE: 46.3595\n", + "1500 \tMSE: 32.6317\n", + "1600 \tMSE: 47.2008\n", + "1700 \tMSE: 36.8811\n", + "1800 \tMSE: 43.6736\n", + "1900 \tMSE: 40.6173\n" + ] + }, + { + "data": { + "image/png": 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zZnjqKUhdgvPcc237/PPJjKnQbNsGX/kKPPZY0iPJXGsZXbBAd9ky2L8/vjFl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RAAAg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\nXw3e3gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n_iterations = 2000\n", + "batch_size = 50\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for iteration in range(n_iterations):\n", + " X_batch, y_batch = next_batch(batch_size, n_steps)\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + " if iteration % 100 == 0:\n", + " mse = loss.eval(feed_dict={X: X_batch, y: y_batch})\n", + " print(iteration, \"\\tMSE:\", mse)\n", + "\n", + " sequence1 = [0. for i in range(n_steps)]\n", + " for iteration in range(len(t) - n_steps):\n", + " X_batch = np.array(sequence1[-n_steps:]).reshape(1, n_steps, 1)\n", + " y_pred = sess.run(outputs, feed_dict={X: X_batch})\n", + " sequence1.append(y_pred[0, -1, 0])\n", + "\n", + " sequence2 = [time_series(i * resolution + t_min + (t_max-t_min/3)) for i in range(n_steps)]\n", + " for iteration in range(len(t) - n_steps):\n", + " X_batch = np.array(sequence2[-n_steps:]).reshape(1, n_steps, 1)\n", + " y_pred = sess.run(outputs, feed_dict={X: X_batch})\n", + " sequence2.append(y_pred[0, -1, 0])\n", + "\n", + "plt.figure(figsize=(11,4))\n", + "plt.subplot(121)\n", + "plt.plot(t, sequence1, \"b-\")\n", + "plt.plot(t[:n_steps], sequence1[:n_steps], \"b-\", linewidth=3)\n", + "plt.xlabel(\"Time\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "plt.subplot(122)\n", + "plt.plot(t, sequence2, \"b-\")\n", + "plt.plot(t[:n_steps], sequence2[:n_steps], \"b-\", linewidth=3)\n", + "plt.xlabel(\"Time\")\n", + "#save_fig(\"creative_sequence_plot\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Deep RNN" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## MultiRNNCell" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_inputs = 2\n", + "n_neurons = 100\n", + "n_layers = 3\n", + "n_steps = 5\n", + "keep_prob = 0.5\n", + "\n", + "X = tf.placeholder(tf.float32, [None, n_steps, n_inputs])\n", + "basic_cell = tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons)\n", + "multi_layer_cell = tf.nn.rnn_cell.MultiRNNCell([basic_cell] * n_layers)\n", + "outputs, states = tf.nn.dynamic_rnn(multi_layer_cell, X, dtype=tf.float32)\n", + "\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "X_batch = rnd.rand(2, n_steps, n_inputs)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "with tf.Session() as sess:\n", + " init.run()\n", + " outputs_val, states_val = sess.run([outputs, states], feed_dict={X: X_batch})" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(2, 5, 100)" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "outputs_val.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Dropout" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "from tensorflow.contrib.layers import fully_connected\n", + "\n", + "n_inputs = 1\n", + "n_neurons = 100\n", + "n_layers = 3\n", + "n_steps = 20\n", + "n_outputs = 1\n", + "\n", + "keep_prob = 0.5\n", + "learning_rate = 0.001\n", + "\n", + "is_training = True\n", + "\n", + "def deep_rnn_with_dropout(X, y, is_training):\n", + " cell = tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons)\n", + " if is_training:\n", + " cell = tf.nn.rnn_cell.DropoutWrapper(cell, input_keep_prob=keep_prob)\n", + " multi_layer_cell = tf.nn.rnn_cell.MultiRNNCell([cell] * n_layers)\n", + " rnn_outputs, states = tf.nn.dynamic_rnn(multi_layer_cell, X, dtype=tf.float32)\n", + "\n", + " stacked_rnn_outputs = tf.reshape(rnn_outputs, [-1, n_neurons])\n", + " stacked_outputs = fully_connected(stacked_rnn_outputs, n_outputs, activation_fn=None)\n", + " outputs = tf.reshape(stacked_outputs, [-1, n_steps, n_outputs])\n", + "\n", + " loss = tf.reduce_sum(tf.square(outputs - y))\n", + " optimizer = tf.train.AdamOptimizer(learning_rate=learning_rate)\n", + " training_op = optimizer.minimize(loss)\n", + "\n", + " return outputs, loss, training_op\n", + "\n", + "X = tf.placeholder(tf.float32, [None, n_steps, n_inputs])\n", + "y = tf.placeholder(tf.float32, [None, n_steps, n_outputs])\n", + "outputs, loss, training_op = deep_rnn_with_dropout(X, y, is_training)\n", + "init = tf.initialize_all_variables()\n", + "saver = tf.train.Saver()" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 \tMSE: 12755.6\n", + "100 \tMSE: 4582.47\n", + "200 \tMSE: 3705.44\n", + "300 \tMSE: 4036.22\n", + "400 \tMSE: 3668.54\n", + "500 \tMSE: 3162.41\n", + "600 \tMSE: 3784.85\n", + "700 \tMSE: 2811.0\n", + "800 \tMSE: 2883.08\n", + "900 \tMSE: 2275.03\n", + "1000 \tMSE: 3245.93\n", + "1100 \tMSE: 3142.94\n", + "1200 \tMSE: 2506.57\n", + "1300 \tMSE: 2843.77\n", + "1400 \tMSE: 2600.08\n", + "1500 \tMSE: 2477.46\n", + "1600 \tMSE: 2470.48\n", + "1700 \tMSE: 3312.73\n", + "1800 \tMSE: 2122.69\n", + "1900 \tMSE: 2112.98\n" + ] + } + ], + "source": [ + "n_iterations = 2000\n", + "batch_size = 50\n", + "\n", + "with tf.Session() as sess:\n", + " if is_training:\n", + " init.run()\n", + " for iteration in range(n_iterations):\n", + " X_batch, y_batch = next_batch(batch_size, n_steps)\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + " if iteration % 100 == 0:\n", + " mse = loss.eval(feed_dict={X: X_batch, y: y_batch})\n", + " print(iteration, \"\\tMSE:\", mse)\n", + " save_path = saver.save(sess, \"/tmp/my_model.ckpt\")\n", + " else:\n", + " saver.restore(sess, \"/tmp/my_model.ckpt\")\n", + " X_new = time_series(np.array(t_instance[:-1].reshape(-1, n_steps, n_inputs)))\n", + " y_pred = sess.run(outputs, feed_dict={X: X_new})\n", + " \n", + " plt.title(\"Testing the model\", fontsize=14)\n", + " plt.plot(t_instance[:-1], time_series(t_instance[:-1]), \"bo\", markersize=10, label=\"instance\")\n", + " plt.plot(t_instance[1:], time_series(t_instance[1:]), \"w*\", markersize=10, label=\"target\")\n", + " plt.plot(t_instance[1:], y_pred[0,:,0], \"r.\", markersize=10, label=\"prediction\")\n", + " plt.legend(loc=\"upper left\")\n", + " plt.xlabel(\"Time\")\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# LSTM" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "from tensorflow.contrib.layers import fully_connected\n", + "\n", + "n_steps = 28\n", + "n_inputs = 28\n", + "n_neurons = 150\n", + "n_outputs = 10\n", + "\n", + "learning_rate = 0.001\n", + "\n", + "X = tf.placeholder(tf.float32, [None, n_steps, n_inputs])\n", + "y = tf.placeholder(tf.int32, [None])\n", + "\n", + "lstm_cell = tf.nn.rnn_cell.BasicLSTMCell(num_units=n_neurons, state_is_tuple=True)\n", + "multi_cell = tf.nn.rnn_cell.MultiRNNCell([lstm_cell]*3, state_is_tuple=True)\n", + "outputs, states = tf.nn.dynamic_rnn(multi_cell, X, dtype=tf.float32)\n", + "top_layer_h_state = states[-1][1]\n", + "logits = fully_connected(top_layer_h_state, n_outputs, activation_fn=None, scope=\"softmax\")\n", + "xentropy = tf.nn.sparse_softmax_cross_entropy_with_logits(logits, y)\n", + "loss = tf.reduce_mean(xentropy, name=\"loss\")\n", + "optimizer = tf.train.AdamOptimizer(learning_rate=learning_rate)\n", + "training_op = optimizer.minimize(loss)\n", + "correct = tf.nn.in_top_k(logits, y, 1)\n", + "accuracy = tf.reduce_mean(tf.cast(correct, tf.float32))\n", + " \n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(LSTMStateTuple(c=, h=),\n", + " LSTMStateTuple(c=, h=),\n", + " LSTMStateTuple(c=, h=))" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "states" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "top_layer_h_state" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 0 Train accuracy = 0.853333 Test accuracy = 0.8385\n", + "Epoch 1 Train accuracy = 0.953333 Test accuracy = 0.8952\n", + "Epoch 2 Train accuracy = 0.933333 Test accuracy = 0.9356\n", + "Epoch 3 Train accuracy = 0.92 Test accuracy = 0.9412\n", + "Epoch 4 Train accuracy = 0.986667 Test accuracy = 0.9539\n", + "Epoch 5 Train accuracy = 0.966667 Test accuracy = 0.9565\n", + "Epoch 6 Train accuracy = 0.98 Test accuracy = 0.9652\n", + "Epoch 7 Train accuracy = 0.98 Test accuracy = 0.9647\n", + "Epoch 8 Train accuracy = 0.98 Test accuracy = 0.9732\n", + "Epoch 9 Train accuracy = 0.973333 Test accuracy = 0.9729\n" + ] + } + ], + "source": [ + "n_epochs = 10\n", + "batch_size = 150\n", + "\n", + "with tf.Session() as sess:\n", + " init.run()\n", + " for epoch in range(n_epochs):\n", + " for iteration in range(len(mnist.test.labels)//batch_size):\n", + " X_batch, y_batch = mnist.train.next_batch(batch_size)\n", + " X_batch = X_batch.reshape((batch_size, n_steps, n_inputs))\n", + " sess.run(training_op, feed_dict={X: X_batch, y: y_batch})\n", + " acc_train = accuracy.eval(feed_dict={X: X_batch, y: y_batch})\n", + " acc_test = accuracy.eval(feed_dict={X: X_test, y: y_test})\n", + " print(\"Epoch\", epoch, \"Train accuracy =\", acc_train, \"Test accuracy =\", acc_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Distributing layers across devices" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import tensorflow as tf\n", + "\n", + "class DeviceCellWrapper(tf.nn.rnn_cell.RNNCell):\n", + " def __init__(self, device, cell):\n", + " self._cell = cell\n", + " self._device = device\n", + "\n", + " @property\n", + " def state_size(self):\n", + " return self._cell.state_size\n", + "\n", + " @property\n", + " def output_size(self):\n", + " return self._cell.output_size\n", + "\n", + " def __call__(self, inputs, state, scope=None):\n", + " with tf.device(self._device):\n", + " return self._cell(inputs, state, scope)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "tf.reset_default_graph()\n", + "\n", + "n_inputs = 5\n", + "n_neurons = 100\n", + "devices = [\"/cpu:0\"]*5\n", + "n_steps = 20\n", + "X = tf.placeholder(tf.float32, shape=[None, n_steps, n_inputs])\n", + "lstm_cells = [DeviceCellWrapper(device, tf.nn.rnn_cell.BasicRNNCell(num_units=n_neurons))\n", + " for device in devices]\n", + "multi_layer_cell = tf.nn.rnn_cell.MultiRNNCell(lstm_cells)\n", + "outputs, states = tf.nn.dynamic_rnn(multi_layer_cell, X, dtype=tf.float32)\n", + "init = tf.initialize_all_variables()" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[[ -3.62410322e-02 5.36520081e-03 -8.48066621e-03 ..., 9.47943889e-03\n", + " -1.64868849e-04 4.30348143e-03]\n", + " [ -5.65063618e-02 1.96487941e-02 3.04428358e-02 ..., -1.61463320e-02\n", + " -7.38892034e-02 -4.37535830e-02]\n", + " [ -4.71536815e-02 -9.79799852e-02 -2.46124659e-02 ..., 8.38893279e-02\n", + " -1.28212735e-01 -1.43267050e-01]\n", + " ..., \n", + " [ -2.71415681e-01 2.47666255e-01 -2.45113403e-01 ..., 6.97874092e-03\n", + " -3.33116591e-01 -1.10748738e-01]\n", + " [ -1.94742754e-01 1.71515942e-01 -2.69154727e-01 ..., -1.24836780e-01\n", + " -3.50653201e-01 -2.37404406e-01]\n", + " [ -1.91879243e-01 1.60464764e-01 -2.04435155e-01 ..., -5.08808121e-02\n", + " -2.38990977e-01 -9.71127152e-02]]\n", + "\n", + " [[ -7.06452206e-02 -2.17116368e-03 -2.48030275e-02 ..., 1.39924334e-02\n", + " 1.99646037e-02 8.69250204e-03]\n", + " [ -1.12675831e-01 2.30047554e-02 3.91782485e-02 ..., -3.73628139e-02\n", + " -5.96980676e-02 -8.46209824e-02]\n", + " [ 1.14398962e-02 -1.75988123e-01 -6.47182092e-02 ..., 3.11662778e-02\n", + " -1.37174323e-01 -1.94520310e-01]\n", + " ..., \n", + " [ -1.66847318e-01 2.07757875e-01 -1.82842255e-01 ..., -8.40383321e-02\n", + " -3.85075450e-01 4.04060781e-02]\n", + " [ -7.28125423e-02 -4.01358642e-02 -6.29809052e-02 ..., -4.42736149e-02\n", + " -3.83944422e-01 -1.83253393e-01]\n", + " [ -1.65948197e-01 2.55000144e-01 -2.61569232e-01 ..., -2.75357850e-02\n", + " -2.64933348e-01 5.10389097e-02]]]\n" + ] + } + ], + "source": [ + "with tf.Session() as sess:\n", + " init.run()\n", + " print(sess.run(outputs, feed_dict={X: rnd.rand(2, n_steps, n_inputs)}))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Exercise solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Coming soon**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + }, + "nav_menu": {}, + "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, + "toc_cell": false, + "toc_section_display": "block", + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/classification.ipynb b/classification.ipynb index e715ed282..e994d3eab 100644 --- a/classification.ipynb +++ b/classification.ipynb @@ -4,7 +4,23 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "**Classification**" + "**Chapter 3 – Classification**\n", + "\n", + "_This notebook contains all the sample code and solutions to the exercices in chapter 3._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:" ] }, { @@ -15,14 +31,18 @@ }, "outputs": [], "source": [ + "# To support both python 2 and python 3\n", "from __future__ import division, print_function, unicode_literals\n", "\n", + "# Common imports\n", "import numpy as np\n", "import numpy.random as rnd\n", - "rnd.seed(42) # to make this notebook's output stable across runs\n", - "\n", "import os\n", "\n", + "# to make this notebook's output stable across runs\n", + "rnd.seed(42)\n", + "\n", + "# To plot pretty figures\n", "%matplotlib inline\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", @@ -30,6 +50,7 @@ "plt.rcParams['xtick.labelsize'] = 12\n", "plt.rcParams['ytick.labelsize'] = 12\n", "\n", + "# Where to save the figures\n", "PROJECT_ROOT_DIR = \".\"\n", "CHAPTER_ID = \"classification\"\n", "\n", @@ -169,14 +190,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Saving figure some_digit.png\n" + "Saving figure some_digit_plot\n" ] }, { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -193,7 +214,7 @@ "some_digit_index = 36000\n", "some_digit = X[some_digit_index]\n", "plot_digit(some_digit)\n", - "save_fig(\"some_digit\")\n", + "save_fig(\"some_digit_plot\")\n", "plt.show()" ] }, @@ -208,14 +229,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Saving figure more_digits.png\n" + "Saving figure more_digits_plot\n" ] }, { "data": { - "image/png": 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TU1O4d+8eFhcXYbVa37nTmq7HaDRieXkZwMtMOGXHzWYzvF4vjo6O4Pf7cXx8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1m/aCy8S1DQBJk44CwEqlgtXVVRweHiIej+Pp06fvROBvT2l1b5ZqtRpWqxV3797FvXv3MD4+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\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z+TA7O4vh4WFmZzSItNttVKtV5PN5lMtl1Ot1tFotdDodqFQq2O32nuxfPyRgPqsAkKZC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\nVcXe3h729vbQbDb5K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gGLh0Oh1Eo1HJ2BuNRiGZNMSpVqswmUxywJBk/6zEWpV3sYL5EOkgK3qBQADx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vco6NYjDNZ8FkBcma6npKJ2010UWVA/eCGlutmteBWk3nM6AhyEOcgXa7XZ4h/1+z2UyM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\nu90u9v4M9MLhMFZWVrCxsTEW6Olq3v3QNMFsNiOfzyOXy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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -242,7 +263,7 @@ "plt.figure(figsize=(9,9))\n", "example_images = np.r_[X[:12000:600], X[13000:30600:600], X[30600:60000:590]]\n", "plot_digits(example_images, images_per_row=10)\n", - "save_fig(\"more_digits\")\n", + "save_fig(\"more_digits_plot\")\n", "plt.show()" ] }, @@ -770,14 +791,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Saving figure precision_recall_vs_threshold_plot.png\n" + "Saving figure precision_recall_vs_threshold_plot\n" ] }, { "data": { - "image/png": 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UUm2BXsCPOTSfDQQqpToopeyUUmOAi8Che48vhCgsV67A4MFGD86SJWanKfq+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\nAAAAAElFTkSuQmCC\n", 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Z+eBOXr7hZQK87WmXElITeOl/L1Htv9U4GHcw3+dPTYXBg6FHjzNl1avDmjUw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\nHg0rNaRl9ZbFZirbvCYVWvxORERERIq86Kho2tVpR7s67RjWeRiHUw+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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -887,14 +908,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Saving figure precision_vs_recall_plot.png\n" + "Saving figure precision_vs_recall_plot\n" ] }, { "data": { - "image/png": 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MSunCDm+PAC6pXmiSJKk33ve+vD33XPj5z4uNpQhO4idJUot55BGYMqW832yP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\nUC6ffXb1v9+aG0mSVHf77w/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KXNeutR95WrMmTC0oT4QKAACAFqBdu2i7TRupqipMLSg/hAoAAIAWYscdo+2K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\n65ybl2k3lnPO/bxJ1QEAAAA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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -945,14 +966,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Saving figure roc_curve_plot.png\n" + "Saving figure roc_curve_plot\n" ] }, { "data": { - "image/png": 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MmTOHgw46KHAikcyx18tSZnakmZ1tZv3KHD/IzJ4CFgGDkhWwqg480G81WkpE\nMtmcOXM4+eSTee+991TYiFSRuZLrOGUfMNsfGAOcXOrwZ8DpwGnAo/iWnyeBe51za5MbtXJm5pxz\ndO8O8+fDzJma60ZERCQTmRnOOavu8ytrubkf6A/cC5wP/BzYHxgPjAYmAIc7526uamFjZk3N7FUz\nyzOzpWZ2SSXnHmZmE8xsm5mtM7P/rey158/32/r1q5JIREREoqKyPjdn4vvSPFBywMw+BSYBTzjn\n/qcG7/sYsAtoAfQAJprZfOfcotInmVkO8C7wZ+BH+BmSO1T2wq1bw6pV0LhxDdKJiKTQ559/TseO\nHUPHEImMylpuDgA+LnNsamw7prpvaGYNgB8CI5xzO51zU4HXgKHlnP5jYKVz7k/OuV3OuXzn3KeV\nvf6qVX7bqFF1E4qIpMa3337L1Vdfzfnnn09+fn7oOCKRUVlxUxvYXeZYyf1va/CeHYAC59ySUscW\nAF3KOfdYYJmZvWlm683sfTM7qqIXLt19qEGDGiQUEUmyTz75hF69elFYWMi0adOoW7du6EgikbG3\noeD/z8wOL3W/FuCAM8zsyNInOudeiPM9GwLbyhzbBpTX1tIGGAicC7wP3Aq8ZmYdnXOFZU8u/T8+\n++wTZxoRkRRyzvHEE0/w29/+lv/7v//j8ssvDx1JJHL2VtzcVcHxe8rcd0C8xU0eULZHTBNgeznn\n7gQ+cs69E7v/oJmNADoB35uH/De/GQn4wiY3dyADBw6MM5KISGqsX7+el19+malTp9KhQ6VdCEWy\nRm5uLrm5uQl7vcqGglepd5tz7vO43tD3udkEdCm5NGVmfwdWOOduL3PuXcBxzrlTSx3bApzgnPt3\nmXPdkiWO9u1L8lQlvYiIiKSLmg4Fr7DlJt5ipaqcczvM7BXgLjO7Fj9a6lzguHJOfx64zcxOBnKB\nW4D1+IkDv2fnTr897LCExxYREZEMEe+q4Il2I9AAWIcvYIY55xaZ2cGx+WzaADjnvgCGAKPwrT3n\nAueV198GYMMGv91vv6TnFxHZqw0bNlCshe5EUi5IceOc2+ycG+yca+icO9Q591Ls+DfOucbOuRWl\nzh3vnDvCObefc+7ksnPhlFZQ4LfLliX7JxARqdw777zDMcccw/TpabnGsEik1XjhzHSyJDa4fMCA\nsDlEJHsVFBTwm9/8hueff55//OMfHHdceVfcRSSZIlXc1K7ttytXhs0hItlp6dKlXHrppTRr1ox5\n8+bRokXlH4PRAAAgAElEQVSL0JFEslKoPjdJsS02e06/fpWfJyKSDLfeeisXXnghEyZMUGEjElCV\nW25ik/o1B/7tnNuR+EjVt3mz3zZtGjaHiGSnV199lVq1IvX/jCIZKe5/hWZ2tZmtAD7Hrzl1ZOz4\ny2Y2LEn5qiQvz2+bNAmbQ0SykwobkfQQ179EM/sx8CR+CYQrgNIT68wALkp4smoouSzVsGHYHCIS\nbc45du3aFTqGiFQg3v/N+AXwJ+fc5Xx/RfBFxFpxQitpudGK4CKSLFu3buWSSy7hV7/6VegoIlKB\neIub9sDECh7bDqRFL5dPPvHb+vXD5hCRaJo5cyY9evSgWbNm3H///aHjiEgF4u1QvAk4uILHOgCr\nExOnZkouR2lCUBFJpOLiYh566CEeeOABHn/8cc4///zQkUSkEvEWNxOBEWY2GVgVO+bMbD/gVuC1\nZISrqpJ5blq1CptDRKJl9OjRjBs3jpkzZ3LooYeGjiMie1HhquDfOcmsJTAdaAF8BPw//EKWnYA8\noK9zbnPyYu6dmblu3Rzz58OcOdCjR8g0IhIl+fn5mBk5OTmho4hkhZquCh5Xnxvn3Dr86t2P4Auc\nlUAz4FnSoLApMX++3+6zT9gcIhItdevWVWEjkkHiarnJBGbmDjvMsXQpLF4MHTuGTiQimai4uFjz\n1YgElpKWGzO738zSYrh3ZfLz/bZBg7A5RCQzjR8/nr59+1JQUBA6iojUQLwdim8ChpvZPODvwBjn\n3PrkxaqekuKmbt2wOUQks+zatYtf/OIXvPHGG4wZM0aXoEQyXLxtry2By4H1wP8BK83sDTO70MzS\npodLyf9sqbgRkXgtXryYY489ljVr1jBv3jyOPfbY0JFEpIaq3OfGzA4ALovdugPbgLHOuWsTH69K\nuRz4n2X7di3BICJ7t3r1arp27crdd9/Nddddh1m1L/GLSALVtM9NjToUm9lJ+MtUrZ1ztav9Qglg\nZs7M4ZxvwalT5fXORSQbrV27lgMOOCB0DBEppabFTZVLgNhlqB8AQ/Dz3RgVL82QUs5BrVoqbEQk\nfipsRKIn7vGOZjbQzEYDa/GLZx4A/AzfanNekvJVmea4ERERyW7xDgVfDkwGTgH+AnRyzvVxzv3F\nObchmQGrSsWNiJS1YcMGfvjDHzJnzpzQUUQkBeJtuXkHONk5d6hzboRz7vNkhqqJLVtCJxCRdPLh\nhx/SvXt32rdvz9FHHx06joikQKRmKAZHs2awcWPoNCISWlFREffccw9PPPEETz/9NGeeeWboSCIS\np6R1KDazPsCnzrkdsf1KOedmVjdEIqlvoIgAXHjhhWzZsoU5c+bQunXr0HFEJIUqbLkxs2LgWOfc\nzNh+RU08Brh0GAoOjq5d9yygKSLZa/HixRxxxBHUrh30T5OIVEMyh4KfCSyK7Z9FxcVNWtHsxCIC\ncOSRab8cnogkSeT63Oy7L+TlhU4jIiIi1ZWqVcE/M7NyhxmYWWcz+6y6ARJNy8KIZJd//OMf/OUv\nfwkdQ0TSSLxz+R4J1K/gsQZAx8TEqTnNcyOSHfLy8vjJT37CtGnTePHFF0PHEZE0EvcMxVTc5+YY\nYGsCsiSE+tyIRN+CBQvo1asXALNnz6Zbt26BE4lIOqlsKPhPgJ/E7jrgZTPbXea0+kBr4OXkxBMR\n+a5XXnmF66+/noceeoghQ4aEjiMiaaiyy1KrgJK5yg8HPgfKTo+3G/gMeDzx0apn5crQCUQkmXr1\n6sXUqVPp0KFD6CgikqYqLG6cc+OAceB7LQN3OOe+TlGuajvqqNAJRCSZDjnkkNARRCTNxdWh2Dl3\nSbKDJEqdeLtIi4iISCRV1udmOPB359ya2H5lnHPuD4mNVj0qbkSiYfXq1YwaNYo777yzpPVYRCQu\nlZUC/wvkAmti+5VxgIobEUmIt99+myuvvJLrr7+e4uJiLaEgIlVSWSlQ3zlXMjqqojlu0o6KG5HM\nlZ+fzx133MGLL77ImDFjGDhwYOhIIpKBKutQvLu8/XSXnx86gYhUx9q1aznvvPNo2bIl8+bNY//9\n9w8dSUQyVLzLL7Qzs26l7u9jZnea2VgzuyZ58apO60qJZKZmzZrxk5/8hNdff12FjYjUSLwXcR7D\nz2czP3b/buCnwBfAYDOr5Zx7Mgn5quzQQ0MnEJHqyMnJ0aR8IpIQ8S6/0A34EMD8sIUfA7c757rg\nOxvfkJR01ZCTEzqBiIiIhBRvcbMfsCG23w1oDvwzdv9doH2Cc1WbOhSLpDfnHM888wwbN5ad8FxE\nJDHiLW7WAe1i+6cBS51zy2L39wWKEh2sulTciKSvLVu2cNFFF/HQQw+xdWvarLcrIhETb3HzBnCv\nmd0D/JzvLpTZBVia6GDVpctSIulpxowZ9OjRg5YtWzJjxgzatWu39yeJiFRDvO0cvwIaARcB7wH3\nlHrsQuD9BOeqtrp1QycQkbIefPBB/vCHP/DEE08wePDg0HFEJOLiXVtqGzC0gsd6JzRRDanlRiT9\nNGzYkJkzZ9K2bdvQUUQkC1Sph4qZNQL6AM2ATcBM59z2ZASrrlrxXmgTkZQZNmxY6AgikkXiLm7M\nbAT+8lR9oGQVux1mdr9z7t5khKsOLUEjIiKS3eKdofhG4C7gVeAsoDtwZuz+XWaWNvPcqLgRCWfZ\nsmXMmTMndAwRyXLxXsS5CXjMOTfUOTfJObcgth0KPA78JHkRq0bFjUgYr7zyCn369GHevHmho4hI\nlov3slQ74OYKHnsNSJv1pdTnRiS1du3axc9+9jPeeustJkyYQJ8+fUJHEpEsF28psAnoWMFjHWOP\npwW13IikzqJFi+jbty8bNmxg3rx5KmxEJC3EW9yMx0/i96PY2lIAmNlg/CKa45MRrjpU3IikzpIl\nS7jpppt48cUXadKkSeg4IiIAmHNu7yeZNQHeAXoDu/HLMbQA9gFmAf8vNhdOMGbmwPH663DuuSGT\niIiISE2YGc452/uZ5Yt3Er+tZnYcMBg4gT3z3HwAvOacS5u1pfLyQicQERGRkOKe5yZWwLzMd9eV\nSjv77x86gUj0OOeYM2cOvXr1Ch1FRGSvKu1zY2YXm9l0M9tgZl+Z2b1mltbrbmtVcJHE2rBhA+ed\ndx633norRUVp00grIlKhCosbM/sR8AJwADAV2IGfofieip6TDtShWCRxcnNz6d69O507d2bKlCnU\n1j8wEckAlbVz3AZMBH7onCsAMLP7gFvM7HbnXHEqAlaV/vaK1FxhYSF33303Tz75JM888wynn356\n6EgiInGr7LJUR+DxksIm5hH82lJpu7SvihuRmlu3bh2fffYZc+fOVWEjIhmnspab/YANZY6tj22b\nAkuTkqiGVNyI1Fzr1q0ZO3Zs6BgiItWyt0n8KpoEZ++T4wSiDsUiIiLZbW/FzVQzyy+5ATtjx2eU\nPm5mu5OcM25quRGpmuXLl1NcnJZd6EREqqWydo4HUpZCRIJ47rnnuO2223j33Xfp1q1b6DgiIglR\nYXHjnPt1st7UzJoCTwOn4fvx3O6cG7OX50wGTgLqVDZSq1GjRCYViaa8vDxuuukmpk+fznvvvUfX\nrl1DRxIRSZh4F85MtMeAXfj1qYYAj5tZp4pONrNL8YXYXvv67LNPoiKKRNP8+fPp2bMntWrVYs6c\nOSpsRCRy4lo4M6FvaNYA2Ax0ds4tiR17FljpnLu9nPMbAzOBy4FpQE55LTclC2du2ADNmyf1RxDJ\naIMGDeLCCy/ksssuCx1FRKRcKVk4M8E6AAUlhU3MAuDECs6/D9/SszaeF69bt2bhRKJu/PjxmFX7\nb4aISNoLcVmqIbCtzLFtwPd6y5hZL+A44M/xvnhOTo2yiUSeChsRiboQLTd5QOMyx5oA20sfMP8X\n+FHgFuecs7j+Io/k3nv9cPCBAwcycODAxCQWyUBFRUXs2LGDRuplLyJpLjc3l9zc3IS9Xqg+N5uA\nLqX63PwdWFG6z42ZNQE2AusAA2oD+wNrgB8556aWeV0HjoICTeQnsmrVKoYMGUL//v25++67Q8cR\nEamSmva5ifuylJkdYGb3mdlHZvaZmXWOHf+f2OWjuDjndgCvAHeZWQMzOx44F3iuzHlbgdZAN6Ar\ncFbsoR7AjAp/oFDjv0TSxJtvvkmPHj0YOHAgI0eODB1HRCTl4mrjMLMjgQ+BHGAW0A+oF3u4I75f\nzJAqvO+N+Hlu1uHXrxrmnFtkZgcDC/EjqVY459aVylAfPxR8XWXz3Ki4kWyVn5/P7bffzksvvcQ/\n//lPBgwYEDqSiEgQ8V7AeRC/UObp+D4z+aUemwrcX5U3dc5tBgaXc/wbvt8fp+SxZfhLUxVSYSPZ\n7PHHH+eLL75g/vz5NNd8CCKSxeLqc2Nm24EhzrnXzKw2UAD0cs7NNbMBwNvOuQZJzrq3jK5OHd/n\nRiQbFRYWUrt2bY2GEpGMl8p5booqON6cPQtqBqWWG8lmddSTXkQEiL9D8WxgaAWPnQ9MT0ycmlFx\nI9miQE2UIiIVirccuBc438wmAD/Cd+wdYGajgAvxswgHV7vSHjkimc85xxNPPEHfvn0pLq6wX72I\nSFaLe54bM/sh8DDQptThVcBNzrnxSchWJWbmGjVybCs797FIRGzZsoVrrrmGr776ipdeeomOHTuG\njiQikhQpm+fGOfcK0BY4BjgV6A4ckg6FTQldlpKomjZtGt27d6d169ZMnz5dhY2ISCVSPkNxspTM\nUByRH0fkv/7zn/9w7LHHMmrUKAYNGhQ6johI0tW05SbeoeAX7u0c59w/qxsiEczMNW/u2LAhZAqR\n5Ni2bRuNG5c7BZSISOSkqripqOfif5/snAvandfMXMuWjrVrQ6YQERGRmkrVPDedyjnWHDgHuAC4\noroBEkl9biTTOec0CZ+ISA3FVQ445z4v5/ZxbBXvl4AbkhszPipuJJP95z//YcCAAfz73/8OHUVE\nJKMlohyYApyXgNepMRU3kqnGjRtHnz59GDx4MF26dAkdR0QkoyVivvZewI4EvE6NqTVfMs3OnTu5\n7bbbeOedd5g4cSK9e/cOHUlEJOPFVdyY2fByDtcFjsKv7v3XRIaqLrXcSCZxznHWWWfRqlUr5s2b\np9FQIiIJUpPRUkXASuBF4HfOuaCLZ5qZO+wwx9dfh0whUjXLly/n4IMPVidiEZFSUjVaqn45xwqc\nc2m1uI2+HyTTHHLIIaEjiIhEzl4v5JhZXWAkcJRzbnepW1oVNqDLUiIiIhJHceOcywduAfZNfpya\nUXEj6ai4uJg//vGPPPLII6GjiIhkhXgvSy0AOgMfJjFLjemylKSb9evXc8UVV7B582bGjBkTOo6I\nSFaIt61jOPBLMzs1mWFqSi03kk6mTJlC9+7d6dq1Kx9++CGHHnpo6EgiIlkh3pabp4H9gElmtgNY\nQ6l1pQDnnOuY6HBVpeJG0sXf/vY37rjjDp599llOO+200HFERLJKvEPBX+S7xcz3OOcuSVSo6jAz\nd/TRjk8+CZlCxFuxYgV16tShVatWoaOIiGSclAwFd85dXN03SCX1uZF00aZNm9ARRESyVoUXcszs\nazPrmsowNaVWGxEREamsl8qhwD4pypEQWpZHUu3zzz/ntttuo7g47aZ9EhHJWpHqglu7dugEkk3+\n/ve/c/zxx9OxY0ctnyAikkb21udm772N04i+XyQVtm/fzo033sjs2bN5//33Ofroo0NHEhGRUvZW\n3PzOzDbE8TrOOXdFIgLVhIaCS7ItX76cU089lRNPPJFZs2ax775pP3G3iEjW2Vtx0w3YHcfrpEUL\nj4obSbYDDzyQhx9+mLPOOit0FBERqcDeipsfOOdmpiRJAqi4kWTLyclRYSMikuYiVQ6oz42IiIhE\nqrhRy40kSlFREQ8++CAbNsTT5UxERNJJpMoBFTeSCCtXruSUU07hzTffpLCwMHQcERGpogrLAedc\nrUzqbwMqbqTmJk6cSM+ePTn11FN59913tTaUiEgGindV8Iyg4kaqyznHz3/+c8aOHcvYsWM54YQT\nQkcSEZFqilQ5oA7FUl1mRteuXZk3b54KGxGRDKeWG5GYyy+/PHQEERFJgEiVAypuREREJFLlgC5L\nSTw++eQTZsyYETqGiIgkSaSKm88+C51A0plzjscee4xTTjmFFStWhI4jIiJJEqk+N927h04g6Wrz\n5s1cc801LF26lKlTp9KhQ4fQkUREJEki1XKjPjdSnmnTptG9e3fatGnDtGnTVNiIiERcpFpuVNxI\nebZu3cojjzzCeeedFzqKiIikQKSKG3UolvKcccYZoSOIiEgKRaqtQy03IiIiEqlyQMVNdisoKGDK\nlCmhY4iISGCRKgdU3GSvpUuXcsIJJ/Dwww/jnAsdR0REAopUOaDiJjuNHTuWvn37ctFFF/Hqq69i\n6nwlIpLV1KFYMtaOHTv46U9/yuTJk3nzzTfp1atX6EgiIpIGIlXcqOUmu2zatAmAuXPn0rhx48Bp\nREQkXai4kYzVpk0bRo0aFTqGiIikmUiVAypuREREJFLlgPrcRNfChQspLi4OHUNERDJApIobtdxE\nT3FxMX/4wx846aST+PLLL0PHERGRDBCpPjcFBaETSCKtW7eOK664gm3btjFr1izatm0bOpKIiGSA\nSLV1rF0bOoEkyuTJk+nevTs9evTggw8+UGEjIiJxi1TLTbt2oRNIIjjnGDVqFM8++yynnnpq6Dgi\nIpJhIlXcSDSYGf/85z9DxxARkQwVqctSGi0lIiIiKm4kqF27drF58+bQMUREJEJU3Egwixcvpm/f\nvjz11FOho4iISISouJGUc87xzDPPcMIJJ3DjjTfy85//PHQkERGJkEh1KFZxk/62b9/ODTfcwLx5\n85gyZQpHHXVU6EgiIhIxQVpuzKypmb1qZnlmttTMLqngvMvNbLaZbTWz5Wb2gJlVmFnFTfp77LHH\naNCgAbNmzVJhIyIiSRGq5eYxYBfQAugBTDSz+c65RWXOqw/cAsyInTsB+Dnw+/JeVMVN+hs+fDim\nD0pERJIo5cWNmTUAfgh0ds7tBKaa2WvAUOD20uc650aVurvazP4BDExVVkk8FTYiIpJsIS5LdQAK\nnHNLSh1bAHSJ47kDgIUVPajvzfTy7bffho4gIiJZKERx0xDYVubYNqBRZU8ys6uAnsCDFZ9T42yS\nAEVFRYwcOZKTTjoJ51zoOCIikmVC9LnJAxqXOdYE2F7RE8zsB8C9wCnOuU0VnffhhyMZOdLvDxw4\nkIEDB9YwqlTVihUruOyyy8jJyeG1117TZSgREdmr3NxccnNzE/Z6lur/s471udkEdCm5NGVmfwdW\nOOduL+f8M4BngbOcc3MqeV33m9847rorScFlryZMmMC1117LzTffzC9/+Utq164dOpKIiGQgM8M5\nV+3/O055y41zboeZvQLcZWbX4kdLnQscV/ZcMzsZeB74QWWFzZ7zE51W4rV48WJuvvlmxo0bR//+\n/UPHERGRLBZqKPiNwNPAOmADMMw5t8jMDsZ3GO7snFsBjMBfwnrT/PUNB/zLOXd2eS+q4iacI488\nkkWLFlGvXr3QUUREJMsFKW6cc5uBweUc/4ZS/XGccyenMpfUjAobERFJB1pbSqqsqKgodAQREZEK\nqbiRKlmwYAFdu3blyy+/DB1FRESkXCpuJC7OOR599FFOPfVUfv3rX3PEEUeEjiQiIlIurQoue7Vp\n0yauvvpqli9fzscff6zCRkRE0ppabqRSzjlOO+00DjvsMBU2IiKSEdRyI5UyM9555x2aN28eOoqI\niEhcItVyI8mhwkZERDJJpIobtdyIiIiIihsBID8/n1/84hc88sgjoaOIiIjUiIob4euvv+b4449n\n8eLFXHrppaHjiIiI1IiKmyz30ksv0bdvXy677DJef/119t9//9CRREREakSjpbLYQw89xGOPPcbb\nb79Nz549Q8cRERFJCLXcZLGLL76YuXPnqrAREZFIUctNFjvwwANDRxAREUm4SLXcrFgROoGIiIiE\nFqnipl270AnS0/Tp07n++utxzoWOIiIiknSRKm5qReqnqbni4mIeeOABBg0axJlnnonpup2IiGSB\nSPW5UXGzx9q1axk6dCg7duxg1qxZHHLIIaEjiYiIpESkygEVN97nn39O9+7d6dOnD7m5uSpsREQk\nq6jlJoLatWvHuHHj6NevX+goIiIiKRepckBdSrycnBwVNiIikrUiVdyo5UZEREQiVQ5kW3Gzc+dO\nfv3rX7Nhw4bQUURERNJGpMqBbCpuFi1aRN++fVm6dCk5OTmh44iIiKSNSJUD2VDcOOd4+umnGTBg\nADfffDNjxoyhSZMmoWOJiIikDY2WyiDFxcUMHTqUBQsWkJubS5cuXUJHEhERSTuRKgeiXtzUqlWL\nCy64gFmzZqmwERERqYBabjLM4MGDQ0cQERFJa5EqBzTPjYiIiESquNmyJXSCxMnNzWXq1KmhY4iI\niGScSBU3++8fOkHNFRYWcuedd3LppZeye/fu0HFEREQyTqT63GT6ZakVK1Zw6aWXss8++zB37lxa\ntWoVOpKIiEjGiVTLTSYXN2+99Ra9evXirLPOYtKkSSpsREREqilSLTeZLCcnh1deeYXjjjsudBQR\nEZGMFqniJpNbbk499dTQEURERCJBl6VEREQkUlTcpFheXh5vvPFG6BgiIiKRFaniJt3NmzePnj17\n8sYbb+CcCx1HREQkkiJV3KRry41zjj//+c+cfvrpjBw5kieeeAJL17AiIiIZTh2Kk2zjxo1cddVV\nrFq1imnTptG+ffvQkURERCJNxU2S7dy5k6OPPpqxY8dSt27d0HFEREQiz6LS98PM3JtvOs48M3QS\nERERqQkzwzlX7SYL9bkRERGRSFFxk0Aff/wxxcXFYUOIiIhkuUgVN6Hk5+fzs5/9jIsvvphvvvkm\ndBwREZGsFqniJkTLzZIlS+jfvz9fffUV8+bNo23btqkPISIiIv+l4qYGxowZw7HHHsvll1/O+PHj\nad68eWoDiIiIyPdoKHg1FRcXM2nSJCZNmkSPHj1S98YiIiJSqUgNBX/3XYcW1xYREclsGgpeSujR\nUiIiIhKeips4bN68mQ0bNiTnxUVERCShVNzsxbRp0+jevTuvvvpq4l9cREREEi5SHYoTqbi4mAce\neICHH36YJ598kkGDBoWOJCIiInGIVHGTqJabNWvWMHToUHbt2sXs2bM5+OCDE/PCIiIiknS6LFWO\n0aNH069fP6ZMmaLCRkREJMNEaih4bq7jxBNDJxEREZGa0FDwUjQUXERERLK+uNm0aVPig4iIiEgw\nWVvc7Ny5k2HDhjF48GCicmlOREREIlbcxGvhwoX06dOHrVu3MmHCBEzXs0RERCIjUsXN3moU5xxP\nPfUUAwcO5Kc//SkvvPACjRs3Tk04ERERSYmsmudm/vz5/PnPf+bDDz+kU6dOqQklIiIiKRWpoeAf\nf+zo16/y84qKiqhdu3ZqQomIiEiVaSh4FamwERERibYgxY2ZNTWzV80sz8yWmtkllZz7UzNbbWZb\nzOwpM8up+Nw9+7t3705saBEREckIoVpuHgN2AS2AIcDjZva9TjBmdjowHDgJaAu0B35X0YuWFDeT\nJ0+mQ4cOLF++POHBJT65ubmhI0gp+jzSjz6T9KLPI1pSXtyYWQPgh8AI59xO59xU4DVgaDmnXw6M\nds4tds5tBe4CrqzotQsLCxkxYgRDhw7lqaee4pBDDknGjyBx0B+K9KLPI/3oM0kv+jyiJcRoqQ5A\ngXNuSaljC4DyVoXqAowvc15LM2vqnNtc9uQbbhhIq1YNmDt3Lq1atUpoaBEREckMIS5LNQS2lTm2\nDWhUwblby5xnFZzLiSeey9tvv63CRkREJIulfCi4mXUDPnLONSx17GfAAOfcoDLnzgfucc69HLvf\nHFgH7F+25cbMojGmXURERGo0FDzEZakvgDpm1r7UpamuwMJyzl0Ye+zl2P1uwNryLknV5JcgIiIi\n0ZHyy1LOuR3AK8BdZtbAzI4HzgWeK+f0vwNXm1knM2sKjAD+lrq0IiIikmlCDQW/EWiAv8T0PDDM\nObfIzA42s21m1gbAOTcJ+D0wBVgKLAFGhoksIiIimSAyyy+IiIiIQAYtv5CsWY2l+uL9TMzscjOb\nbWZbzWy5mT1gZhnz316mqMq/kVLPmWxmxfo8Eq+Kf7MOM7MJsZbrdWb2v6nMmg2q+Hn8xsy+MbPN\nZva+mXVOZdZsYGY3mtksM9tlZk/v5dwqf6dn0h+0pMxqLDUS12cC1AduAZoDfYFTgJ+nKmQWiffz\nAMDMLsUPKlDzbXLE+zcrB3gXeA9oCbTBX66XxIr38zgPuB44HmgGTKf8PqFSMyuBu4HRlZ1U3e/0\njLgsFZvVeDPQuWSElZk9C6x0zt1e5tx/AEudcyNi908CXnDOHZji2JFWlc+knOf+FBhYdui/VF9V\nPw8zawzMxM8CPg3Icc4VpzBypFXxb9a1wBDnXHkTmUoCVPHz+DXQ1Tl3cex+Z2C2c65BimNnBTO7\nGzjIOXdVBY9X6zs9U1puKprVuEs553aJPVb6vJax0VaSOFX5TMoaQPlD/6X6qvp53If/P9m1yQ6W\nparyeRwLLDOzN81sfewyyFEpSZk9qvJ5TAb6mdkRsVa1HwNvJT+iVKBa3+mZUtwkbVZjqbaqfCb/\nZWZXAT2BB5OUK1vF/XmYWS/gOODPKciVrary76MNcBHwMHAg8CbwmpmFmIcsquL+PJxzM4Fngc+B\nb4HzgduSHVAqVK3v9EwpbvKAxmWONQG2x3FuE3yfgvLOleqrymcCgJn9ALgXOMM5tymJ2bJRXJ+H\nmRnwKHCL89ekNfllclTl38dO/Kzt7zjnCp1zD+L7p1XYX0qqLO7Pw8xuwvcLPAioh1+weYqZ1Ut2\nSClXtb7TM6W4+e+sxqWO7W1W4xIVzmosNVKVzwQzOwMYBZzjnPssBfmyTbyfR2N8y9lLZrYa3+/G\ngGjETYsAAAltSURBVBVm1j8lSbNDVf59fII6dSdbVT6PM4AXnXOrnXPFzrlngaaARkyFUa3v9Iwo\nbjSrcfqpymdiZifjR3+c75ybk9qk2SHez8M5txVojf8D0RU4K/ZQD2BG6hJHWxX/Zj0PHGtmJ5tZ\nrViH+/XAotQljrYqfh6fAD8ys5bmDcWPKvwqdYmjz8xqx1rDauMLz33MrHY5p1bvO905lxE3fOX8\nKr6J6j/ARbHjB+OvwbUpde6twBpgC/AUfiRI8J8hard4PxPgfSA/dmx7bDsxdP6o3aryb6TUc9oC\nRUCt0Pmjdqvi36wfAF/G/ma9D3QKnT9qtyr8vWoA/LXUd8hs4LTQ+aN2A+4EimN/f0puv419Httr\n+p2eEUPBRUREROKVEZelREREROKl4kZEREQiRcWNiIiIRIqKGxEREYkUFTciIiISKSpuREREJFJU\n3IiIiEikqLgRSQNmdoWZFZdzK4rN8FyV17om9tzWycpb5v3uLpN5k5lNN7OLkvBetWPvcXupY4PN\n7JZyzj0ldu5xic5RSb72ZX4XhWa2wsxGm1mLar5mdzO708zKro0kIhXQqrMi6cMBFwAryxyv6lpc\njtSvVeSAY/HrVDUHrgfGmFmOc+75hL2Jc0VmdizwTanDPwT6A38qc/qMWKZy1ztLsrvwq3vvA/TD\nz8baDjipGq/VI/b8v/H9la1FpBwqbkTSywLn3NehQ1SHc25Wyb6ZvQssxk+bnrDiJvY+M+M8Lw+/\nMGgIX5fK+a/YGjp3mtlRzrlPq/hahhbWFKkSXZYSyRBmVs/MHjazT80sz8xWmdlrZtYhjucONbN5\nsedtMbMFZnZVmXNOMrPJZrY9dnvTzDpVJ6tzrhBYABxe6vUbm9ljsdy7zWyxmd1cJkMjM/uLmS03\ns11mtsbMJpnZ4bHHv3NZysyeAy4D2pa6FPRF7LFTS1+WMrMnzGylmVmZ99zHzLaa2R9KHWthZqNi\n5+82s8/K/r6qaG5sW3pV6pJLenNj77/ezN4zs96lHr8aeDJ29z+lLlW2LvX7uCP2u9wVuwT2ezOr\nW4OsIhlPLTci6aX2/2/vXEOsqqIA/K3xR2ljDpMOJqWZPzQf0cOMhLIUZigwX4QKoon5Q2YqMtC0\nB6ZSZr7QKEVKR0dTUjOSsswsizIklSgtcxI1dZAZy3BGbdTVj7WvczzeuXOnhNHT+mAx3n32Pnvt\nva+cddda++zYybiqqufDv5tjh/pNA45g4Z9i4FsR6ayqleluKCIPAkuBOcB47BTerthBgqk6A4C1\n2MGCw7EfPpMwr0MPVT36L8bSETvoDhHJATYC3bFTfXcDjwLzRCRfVaeENvOBQmAyUB7GeD/Qqp4+\nXgJaA7djh08KcDpci4fnlgNjgX7AZ5HygUAuUBp0bQV8g83TC8AB7PT0xSHMtqhx0wDYXAAcj5W3\nw9blEHAdMArYKiJ3qurPwHosnPVc0LMitDsW/q4CioBXsTBcN+z7cTO2jo7z/6SpTwZ1cXFRsIfa\n+TSyNUObHMzYqQaKI+VjsBN224XPE4GKBvrfD3wUK7seqAJmNtB2WuivWZCCSNlroc7AMJ7hsbZL\ngBogL3zeA8zI0FezcJ/JkbLlWBgoXrdf0KF3pKwcKI3V+xDYFfn8cpjTW2L13gGOgh04XI9+nYJ+\njwddWwQ9DmMGXaa2OdgPzn3A62nWs32s/kOhr6Gx8pGhftem/l67uDSVeFjKca4cFBgA9IzImGgF\nERkmIt+JyJ/AWeAkcC3QOcN9twNtRKRURB6J77oRkS5AB2BlCHOkvEc1mDfggSx0F6A2SAXwLDAb\n83yAeV9qgdWxdmVY0u29EV3HiMhEEbkrHkK6DCwHBolIc7DwE+b5WBapU4R5bg7F5uNTzHDLNNcp\n3sbGexLYhM1JoapelDsjIoUiskVEKrH1/Bvz8mTTRxFwCvggpucmbD2yWTfHSSRu3DjOlcVPqroj\nIr+mLojIIGAl8AMwDOiFGUB/YAZOWlT1c2AoZsC8D1SGPJZuoUpB+FtKnYFSiz1oi4D8LPRW4O6g\nTyegpapOUNXacD0fqNS6EFuKCuxBnOpjHLAYeAIzdI6JyKyQkHs5KMNCUIPD5+Gh/5WROgVAXy6e\ni9pInRuy6GcKNhd9gDeBO7C5vEDIrdmArd9ozMDrie3uyma8BViosiam52FsPbLR03ESiefcOM7V\nw1Bgj6qOTRWIyDVAXkMNVXUNsEZEWmAP7pnYVuUOWOgJYAKwJU3zM9kop6o7M1w+DrQWkZyYgdM2\nch1VrcbybSaLSHvgMWAG5qF4MRs9GtBxn4hsA0YAK7Bk5M2qWhGpVgUcBJ7BDJ84v2TR1QFVTSUR\nfxXyeOaLyCZVPRjKh2DjGhL16IhIPnW5NZmowjxDferR80gW93CcROKeG8e5emiBhS6ijKIR/49V\ntUZVN2DekZtEJA/LBTmE5WjsSCOX4z0xX2I/pobEykdgD/htaXQ9qKqzg37dM9z7DObByJZlQL+Q\naH0PF4ekwBKfbyMYKGmkuhF9pZiIGSBTI2WXrKeIFGJJxlFSxmV8jBuxJOTcevTMxkBynETinhvH\nuXrYCCwIW5Y/xsJSxcCJTI1EZDoWotiCJcR2AEqA7aqa2s1UAqwNuSjvYV6BtkBvoFxVF/xH3Tdg\nBsxiEbkRSxzujyW/TlXVE0GPbcA64EcsqbcvtrPrrQz33g2MFpGxwE7gVMQgS+fRWA3Mw/JvTmKh\nuiizsJcpfi0ic4G9QEugC5acPJhGoqpHRGQhUCIir6jqXmw9i4GlIlKKGVTPk/4ljgI8KSJlWOhp\nl6puFpE1wHoRmUPdO306Ag8D41V1f2N1dZxE0NQZzS4uLhd2S50Dbs1QJweYDvyOPZQ3Az2wEMqi\nSL34bqn+2IP0MOYlOQAsBApi978P2zlUheVxlGOhm14N6D4NOJvFGFsCbwQ9TmMGTkmszkzgeywP\n5S9gFzAucr1ZGNukSFku8G7Q+xywN5Rfslsq0mZduLakHl3zgLnAb0HXCuALIrvS6mnXKdx3ZJpr\nbcKYVkXKngp9VGPGXx9gK/BJrO2UsO61sbUV4OkwTzVYeG8HtjU8t6m/1y4uTSWi6i++dBzHcRwn\nOXjOjeM4juM4icKNG8dxHMdxEoUbN47jOI7jJAo3bhzHcRzHSRRu3DiO4ziOkyjcuHEcx3EcJ1G4\nceM4juM4TqJw48ZxHMdxnEThxo3jOI7jOIniH+uIi2cS4r+QAAAAAElFTkSuQmCC\n", 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h7RYt/OUAAADJKScnRytXrvQdA4gaRUUM3B42F1Xr1v5yAACA5LN582ZddNFF\n6tSpU9wXKAPiJaEHaieLFStC28z8BAAAIvXZZ59p4MCBys7O1muvvaZatWr5jgREhZaKEnJO+uWX\n0OcBA/xlAQAAySEzM1N33323zjvvPLVs2VJLly5ldickNVoqSmjTJikrK9iuV0+qVs1vHgAAkNh+\n+uknpaWlaf78+XrkkUd0++23q0IFfudFcqOoKKFJk0Lbp53mLwcAAEh8a9euVevWrVWnTh3NmjVL\nnTp18h0JiAmKihJavjy0fcwx/nIAAIDE16xZMz3++OO64oorVLt2bd9xgJihqCihJUtC27fe6i8H\nAABIDkOHDvUdAYg5OvCV0MyZwXvlynR/AgAAQPlEUVECGzeGtk891V8OAAAAwCeKihIIX59izx5/\nOQAAQOKYPXu2Nm/e7DsGUKooKkrgvfdC22lp/nIAAAD/srOzNXLkSHXt2lVPPPGE7zhAqWKgdgnM\nmBHa7tbNXw4AAODX+vXrNXDgQE2fPl0jRozQfffd5zsSUKooKkpg6dLQduvW/nIAAAB/PvzwQw0a\nNEipqan67LPP1I1fGlEO0f0pRmrV8p0AAACUpvT0dA0fPlwXXXSROnXqpKVLl1JQoNyiqIhS+MxP\nAACg/Lnvvvv03HPP6W9/+5smTpyo+vXr+44EeEP3pyiNHx/abtDAXw4AAODHHXfcof79+6tNmza+\nowDeUVRE6a23Qtu/+52/HAAAwI+6deuqbt26vmMACYHuT1EKb5248kp/OQAAAADfKCqiNG9eaPu4\n4/zlAAAAAHyjqIjCxo3SL78E282bS6mpfvMAAIDY27x5s5544gk553xHARIeRUUUJk0KbVer5i8H\nAACIj88++0ytWrXSY489pnXr1vmOAyQ8iooofPJJaHvQIG8xAABAjGVmZuruu+/Weeedp1NPPVVL\nly5Vs2bNfMcCEh6zP0Xh7bdD2127+ssBAABi56efflJaWprmz5+vhx9+WHfccYcqVOD3VyAS/C8l\nCuEDs9u29ZcDAADExltvvaXWrVtrw4YN+vzzz3XXXXdRUADFwP9aisk56eefQ58r0dYDAEBS27Vr\nl4YNG6aePXtqyZIl6ty5s+9IQNLhkbiYNm6UMjOD7R49/GYBAAAlV7NmTS1cuFDNmjWTmfmOAyQl\niopiWr48tH300f5yAACA2DnqqKN8RwCSGt2fimnlytB21ar+cgAAAACJgqKimEaPDm1fdpm/HAAA\nAECioKi92BmNAAAgAElEQVQopvD1b5j5CQCAxJedna2HH35Y7777ru8oQJlFUVEM+/ZJe/aEPteu\n7S8LAAA4vPXr1+u8887Tvffeq1WrVvmOA5RZDNQuhq1bQ9u9e/vLAQAADu/DDz/UoEGDlJqaqs8+\n+0zdunXzHQkos2ipKIYtW0LbjRr5ywEAAAqXnp6u4cOH66KLLlLHjh21ZMkSCgogzmipKIbw8RR0\nfQIAIPGsWrVK/fv31/Lly/W3v/1NN998M2tPAKWAoqIYsrND2xs2+MsBAAAKtmDBAu3evVtffvml\n2jKjClBqKCqKYfXq0HaHDv5yAACAgqWlpalPnz6qUqWK7yhAucKYimJYsya0TfcnAAASEwUFUPoo\nKorhiSdC2507+8sBAAAAJBKKimKoWze03ayZvxwAAJRnzjnfEQDkQ1FRDNWrh7ZpWQUAoPRNmzZN\n7du31+bNm31HARCGoqIY8sZUNG/uNwcAAOVNVlaWRowYoe7du6tWrVrKycnxHQlAGGZ/ilB4S+uu\nXf5yAABQ3qxevVpXXnml5s6dq5EjR+qOO+5QxYoVfccCEIaiIkLbtoW26foEAEDpeOedd3Tdddep\nZs2amjlzprp06eI7EoAC0P0pQuGraXfr5i8HAADlQWZmpm644Qb95je/Uffu3bVkyRIKCiCBlaio\nMLMmZnafmX1kZgvN7MGwY23M7Eozq1HymP5t2RLaDl9ZGwAAxF6lSpW0a9cujR07Vm+99Zbq1Knj\nOxKAIkTd/cnMLpf0oqRqkkySk7Q07JQGkv4laVDue1LLyAht16zpLwcAAOWBmenVV1/1HQNAhKJq\nqTCztpLGS6oo6SFJ3RUUFuE+k7RbUu+SBEwUq1eHto87zl8OAAAAINFE21JxZ+61vZxzn0nBLwrh\nnHPZZrZEUssSJUwQqamh7R07/OUAAAAAEk20YyrOkrQgr6AownpJjaO8R0KZMye03aqVvxwAAJQV\nOTk52rdvn+8YAGIg2qKirqQfIzivSu4r6WVmhrabNPGXAwCAsmDDhg3q2bOnhg4d6jsKgBiItqjY\nJumoCM47XtKmKO+RUP7zn9A2YyoAAIje5MmT1apVK33zzTcaMmSI7zgAYiDaomK+pNPN7FeFnWBm\n7SWdJumLKO+RUDaFlUa0VAAAUHwZGRm69dZb1atXL7Vv315Lly7Vueee6zsWgBiItqh4XlKKpLfM\n7MT8B83sWAXTzTpJf482XKKy/PNcAQCAIn333Xfq0qWLRo8erSeffFIffPCBGjRo4DsWgBiJavYn\n59xkM/uHpKGSVpjZstxD3c1stqR2CoqOMc65mbGJ6k96uu8EAAAkr08++UR9+/ZVo0aN9OWXX6pd\nu3a+IwGIsahX1HbO/U7SrZJ2Smqdu/soSZ0kHZB0l3PuphInTABr14a2L7nEXw4AAJJRy5YtdfXV\nV2vRokUUFEAZFfWK2pLknHvKzMYoKCSOU1Ck/CxplnNufwzyJYTwoqJ+fX85AABIRk2aNNGYMWN8\nxwAQRyUqKiTJOZchaWbuq0wK7/60bZu/HAAAAEAiiqr7k5ktM7MHIjjvfjNbGs09EskPP4S2O3Tw\nlwMAAABIRNGOqWipyNapaJp7bplx4IDvBAAAJJ5Vq1b5jgDAo6gHakeosqTsON8j7tasCW23bl34\neQAAlDdZWVm69957dfLJJ2vatGm+4wDwpMRjKg6jraQtcb5H3H0RtnwfC98BABBYvXq1rrzySs2d\nO1cPPvigunbt6jsSAE8iLirMbGK+Xd0L2Bf+vSdLOkbSW1FmSxjNmoW2jzjCXw4AABLFu+++q2uv\nvVY1a9bUjBkzdMYZZ/iOBMCj4rRUXBS27RSMqTjcuIoVku4qbqhEs2dPaLtePX85AADwbf/+/frj\nH/+osWPHqm/fvnrhhRdUp04d37EAeFacoqJ37rtJmijpU0lPF3JuhqS1zrkVJciWMDZvDm3Xru0v\nBwAAPjnn1KNHDy1atEhjx47V0KFDZWa+YwFIABEXFc65D/O2zWyhpM/D95Vlc+YE75UrS1Wq+M0C\nAIAvZqY777xTzZs3V8uWZWpyRwAlFNVAbedc+1gHSQbhi+ABAFAe9e7d+/AnASh34j2lbNJzLrR9\n5JH+cgAAAACJqkRTyppZHUkXSjpJUk0F4y3yc865W0pyH5+2bSt4GwAAAEAg6qLCzIZIekZS1fDd\nue8u7LOTlLRFxZawVTbCp5YFAKAs2rBhg9auXav27ctlT2cAUYqq+5OZnSXphdyPz0qan7t9q6Sx\nkjaGHbu5JAF927AhtH3++f5yAAAQb5MnT1arVq30u9/9Ti68/y8AHEa0YyqG575fmNu1aYUkOeee\ncs7dqKA71FuSrlQw/WzS+vHH0Pbevf5yAAAQLxkZGbr11lvVq1cvtW/fXh999BFTxQIolmiLik6S\nljrnZhR00Dm3R9JgSTmS/hzlPRJC+BoVJ5/sLwcAAPHw3Xff6YwzztDo0aP15JNPatKkSWrQoIHv\nWACSTLRFRT1Jq8I+Z0mSmf1vfIVzbr+kzyX1jDpdAvgwbCWOM8/0lwMAgFh79dVX1aZNG+3YsUNf\nfvmlhg8frgoVmBgSQPFF+1+OHZLCl4Hbnvte0FDmpP65I3wFbX64AQCUFVOmTNHAgQN16aWXatGi\nRWrXrp3vSACSWLSzP/0s6aiwz9/kvl+g3BaM3FaLMyStizpdgqlf33cCAABio0ePHpoyZYp69Ojh\nOwqAMiDaomKGpJvMrL5zboukDyWlS3rMzOpKWiPpWgWtFO/HJKkn4atoV6lS+HkAACQTM6OgABAz\n0XZ/ekfSQkkdJMk594ukOxV0ibpP0j8ldZG0Ifdz0tq1K7RdtWrh5wEAAADlVVQtFc652ZI659v3\njJktlnSFpLoKppn9e27BkbTWrw/e69aVUlL8ZgEAAAASUdQrahfEOfe5ghmfyoxNm4L3xo395gAA\noDiysrL09NNP67e//a1q1qzpOw6AMi7u88aZ2dHxvke87NkTGlNRr57fLAAARGrNmjXq1q2bbr/9\ndk2dOtV3HADlQNyKCjNramZjJX0br3vE2549oe06dfzlAAAgUv/+97/VunVrrV69WjNmzNCll17q\nOxKAcqDYRYWZ1TezU82swAlWzayxmY2W9J2koZJSS5jRmwMHQtvM/AQASGT79+/XjTfeqMsuu0zn\nnHOOlixZojNZtRVAKYm4qDCzVmb2paRNkpZJ2mRmX5jZqbnHK5jZCEkrJd0oqbKkBUriFbV37Aht\n16jhLwcAAEX55ptv1LFjR7344ot6/vnn9c4776hu3bq+YwEoRyIaqG1mTSVNl1RTkoUd6ixpipm1\nkvQvSeflHl8paYRz7u2Ypi1l68KW7WvUyF8OAACKcttttykrK0vz58/Xaaed5jsOgHIo0tmf/iip\nloJF7R5W0FJRU9JFkm6QNE3SKZL2S7pL0hjnXHbM05ay3btD2/zgAwBIVC+99JKqV6+uatWq+Y4C\noJyKtPtTDwUFwznOuRecc3Odc1Occ7dIelBBQeEkXeSceyZWBYWZpZrZY2a21sz2mdkcM4t4+U8z\n62dms81sj5ltz+2udU6k14cP1GZMBQAgUR155JEUFAC8irSoaC5pjnPupwKOvZL7vsA5Ny0mqQ7+\n7j9IGi/pZklZkv5jZl0Od6GZ3S/pNQWtK8Ml3SNpqaSmkd78hx9C25ViuqIHAAAAUHZE+qhcXdLP\nBR1wzq0xM0laFatQkmRmHRSszn2rc+6p3H3/krRc0uOSCp3Swsw6SbpX0nDn3DPRZshbTVuiqAAA\nAAAKU5wpZXMOczyjJEEK8BsFLRMv5O1wzqVLGiepc+7g8cL8QdKGvILCzI6IJkD9sElzGVMBAPDl\n448/1n333ec7BgAUKu4rapdAa0krnXN78u2fF3a8MOdKmm9mt5jZL5J2m9l6MxtWnADZYSNDjjyy\nOFcCAFByGRkZuu2223TBBRdo/vz5yszM9B0JAApUnE49A8zsN4Ucc0Ucd865WsWPpsaSNhSwf4OC\naWubFHSRmdWWVF9B96hzJd2voOvWYEmjzSzDOfdCQdfmF/7f7tSkXcIPAJCMvv/+e6WlpWnJkiUa\nNWqUhg8frgoVEvm3QADlWXGKipTcV3GPu2IlCqkqKb2A/QfCjhekeu57XUn98tbKMLN3JH0laYTC\nulQVJXzxu5Si/uQAAMTQhAkTdP311+vII4/U7Nmzdfrpp/uOBABFirSo6B3XFAXbr2BV7vyqhB0v\n7DpJypT0Tt5O55wzszck3W9mzZxzaw8XYN680DZFBQAg3vbu3aubbrpJL730kq688ko9//zzqlmz\npu9YAHBYERUVzrkP4x2kABtUcBenxrnv6ws4JknbFLRmbHfO5W8l2Zz7XkdSkUXF8OHD9f33oV5b\nf/iDNGhQmtLS0g6XGwCAqGzYsEGTJ0/WSy+9pGuuuUa5sysCQLFMmDBBEyZMOGjfzp0743pPO/S5\nOzGY2eMKZnGqGz5Y28zulvSQpKOdc+sKuXa2pNMlVXPOZYXtf1DBehVNnXMbC7m2raSFCxcu1A03\ntP1fa0VWllSxYkz+aAAAFGr//v2qWrWwHr4AEJ1FixapXbt2ktTOObco1t+fyCO+3lbQkjI0b4eZ\npUoapGAhvnW5+44ys5PyXfuGpIqSrgm7toqkAZK+LqygyO/AgdA2BQUAoDRQUABIRgm7pJtzbp6Z\nvSXpL2bWUNJ3CgqKYxTM5JTnX5K66uAC6e+SrpM0JrfgWCPpaklHSboo0gzpucPEa0UzdxUAAABQ\nTiRsUZHrKgVdnQYqGAexTNKFzrkvws5xyrcwn3PugJl1U7Dy9mBJR0haIqmXc+7TSG+eN/tTjRrR\n/wEAAAjnnGOsBIAyJ5G7P8k5l+Gcu8M519Q5V8051yl/UeCc6+acO6Q4cs5tcc4Ncc41yL22S3EK\nCuekvPEsdeqU9E8CAID0888/q1u3bpo2bZrvKAAQUwldVPh04EBoTEXdun6zAACS33vvvadWrVrp\nhx9+UOXKBc2YDgDJi6KiELt2hbYZUwEAiNaBAwc0bNgw9enTR2effbaWLFmiLl26+I4FADGV6GMq\nvAkvKr77zl8OAEDyWrFihfr166eVK1dqzJgxuuGGGxhPAaBMKnFLhZlVNrNOZtY7d42HMmF/2Hrd\nZ57pLwcAIDm9/PLLateunbKysjRv3jzdeOONFBQAyqyoiwozq2pmf5O0VdIXkt6T9Puw44PNbKWZ\ntSt5zNK3ZUtoOzXVXw4AQHLavXu3Bg4cqPnz5+vXv/617zgAEFdRdX8ys8qSPpXUSdIuSQsUrBUR\nboqkcZL6SFpYgozeJeii4wCABPb73/+elgkA5Ua0LRU3S+os6X1JzZ1z5+Q/wTm3VtK3krpHnc6j\n8DEVLVr4ywEASE4UFADKk2iLijRJmyVd5ZzbUcR5/5XULMp7eLVvX2ibdSoAAACAwkVbVPxK0jzn\n3N7DnLdXUoMo7+FVRkZou2pVfzkAAIlr797D/d8gAJQP0RYVTlIk7bpNJO0/7FkJaMWK0DZrFAEA\nwmVkZOj2229X69attWfPHt9xAMC7aNep+EFSKzOr4JzLKegEM6sq6deSVhR0PNHVqxfaplssACDP\nDz/8oP79+2vx4sV69NFHVa1aNd+RAMC7aFsqPpDUVNKfijjnDkl1JE2M8h5ezZ8f2m7a1F8OAEDi\nmDBhglq3bq2tW7dq9uzZuvXWW1WhQomXfAKApBftfwmfVDBQ+y9mNt7MLs7dX8/MeprZPyXdK2md\npOdikLPUHXdcaJsfoQCgfNu7d6+uvfZaXXnllerdu7cWL16s9u3b+44FAAkjqu5PzrmtZtZLQSvE\nlQpmg3KSLsp9maSNki52zu0q9IsSWGZmaLtGDX85AAB+rV+/Xt27d9eaNWv00ksv6ZprrmG6WADI\nJ9oxFXLOLTazUyRdL6mXpOMUtHz8LGmypGcPM91sQtu2LbTNitoAUH41bNhQ3bp10y233KKTTjrJ\ndxwASEhRFxWS5JzbLWlU7qtMCZ/9KSXFXw4AgF8VK1bUc88lZU9eACg1UY2pMLMjYh0k0Zx4Ymj7\niDL/pwUAAACiF+1A7Y1m9qKZdY1pmgSS11JRqRJTygIAAABFibaoqCZpkKRpZrbKzO42s2axi+Vf\n9erBe1aW3xwAgPhbu3atDhw44DsGACStaIuKoyTdI+k7ScdLekjSj2Y22cyuMLOkH9rMOAoAKB/e\nf/99tWrVSiNHjvQdBQCSVlRFhXNuvXPuL865kySdKeklSfsknS9pgqQNZjbazNrFLmrpys4O3k84\nwW8OAEB8HDhwQDfddJMuvfRSde3aVX/84x99RwKApFXiZUCdc7Odc9dJaqSgS9QMSbUlDZM0z8yW\nlvQePuTkBO8VK/rNAQCIvRUrVqhjx4564YUX9Oyzz+rdd99V3bp1fccCgKRV4qIij3Nuv3PuFefc\nuQrWrHhOwSJ4LWN1j9KU11JBUQEAZYdzTi+++KJOP/10ZWRkaO7cuRo2bBiL2QFACcWsqJAkM6tg\nZr0lPSnpulh+d2nbvz94r1SilTwAAInkgQce0LXXXqu0tDQtWLBArVq18h0JAMqEmDwym9mpkgZL\nGiDpSAUtFPskvSnpxVjcwxcmAwGAsmPAgAE6+eST1b9/f99RAKBMibqoMLPakq5UUEy0VVBISNJc\nBYXE67krbie1lSt9JwAAxMqJJ56oE8NXNwUAxERURYWZvSHpYkmpCoqJTZL+JelF59x/YxfPv/PO\n850AAAAASGzRtlRcLilL0kQF08l+6JzLjlmqBLJnj+8EAAAAQGKLdqD2bZKaOuf6OOcmltWCQpJ2\n7fKdAAAQqczMTE2ZMsV3DAAod6Jd/O4J59wvsQ6TiNq08Z0AABCJH374QWeeeaZ69+6t9evX+44D\nAOVKTKeULYtSU30nAAAczuuvv642bdpoy5Ytmjlzppo0aeI7EgCUKxGNqTCzZyQ5SSOdc7/kfo6U\nc87dElW6BJCS4jsBAKAwe/fu1c0336wXX3xRaWlpGjt2rGrWrOk7FgCUO5EO1P69gqJijKRfcj9H\nyklK2qJi0ybfCQAABVm2bJn69eunNWvW6MUXX9SgQYNYGRsAPIm0qLgp931jvs9lXu3avhMAAPLb\nsWOHzjrrLB177LFauHChTj75ZN+RAKBci6iocM6NKepzWXbUUb4TAADyq127tt5//3116tRJVapU\n8R0HAMq9qFfULi8YqA0Aiemcc87xHQEAkCuq2Z/MbJeZHba1wsxGm9nOaO6RKFj8DgAAAChatFPK\nVpdUNYLzquSem7SqRvKnBAAAAMqxeK9TUVVSVpzvEVcNG/pOAADl08SJE7Vw4ULfMQAAEYhbUWFm\n1SR1UWjGqKTEmAoAKF0HDhzQzTffrEsuuUSvvPKK7zgAgAhEPFDbzJbl23VJAfvCv/doBS0VL0aZ\nLSGw+B0AlJ5vv/1W/fv31zfffKPRo0dr2LBhviMBACJQnNmfWoZtO0l1cl+FcZI+lnRXFLkSxu7d\nvhMAQNnnnNPLL7+s3//+9zrqqKM0d+5ctW7d2ncsAECEilNUnJb7bpKWSXpP0r2FnJshab1zbm8J\nsiWERo18JwCAsm3Xrl264YYb9Nprr2nw4MEaPXq0jjjiCN+xAADFEHFR4Zz7Om/bzN6RNDV8X1lV\nubLvBABQto0bN06TJk3Sa6+9prS0NN9xAABRiGrxO+fc5bEOkqgqsTwgAMTVzTffrMsuu0zHHHOM\n7ygAgCjFe0rZpMdAbQCIr4oVK1JQAECSi+h3eDN7RsHA65HOuV9yP0fKOeduiSpdAqClAgAAACha\npI/Mv1dQVIyR9Evu50g5SUlbVFSp4jsBAAAAkNgiLSpuyn3fmO9zmVe1qu8EAJDcfvzxR40cOVJj\nxoxRFX6pAYAyKaKiwjk3pqjPZRndnwAgem+88YaGDh2qevXqae3atTrhhBN8RwIAxAEDtQ+DogIA\nim/v3r267rrr1L9/f/Xq1UuLFy+moACAMizmj8xm1lDB6turnXPfxfr7S1vFir4TAEByWbZsmfr1\n66c1a9Zo3LhxGjx4sMzMdywAQBxF1VJhZueb2Stm1i7f/mGS1kj6RNK3xZwlKiHRUgEAkXHOacyY\nMerQoYNSU1O1YMECDRkyhIICAMqBaLs/DZZ0haT/tUSY2QmS/qag9eN7SZmShpnZBSUN6RMtFQAQ\nmczMTI0bN07XXXed5s6dqxYtWviOBAAoJdH+Dn+6pKXOuZ1h+wZKqihpuHPuaTNrJWmBpOslfVSy\nmP5QVABAZFJTUzVr1ixVq1bNdxQAQCmLtqWivqS1+fadI2m/pL9LknNuqaTZkn4dbbhEcMQRvhMA\nQPKgoACA8inaoqKagu5NkiQzqyCpnaR5zrkDYef9LKlx9PH8o6UCAAAAKFq0RcUvko4P+9xB0hEK\nWibCVZG0L8p7JAQGagPAwZxzviMAABJMtEXFHEltzewiM0uRdLskJ+mzfOedJGl9CfJ5R1EBAIH0\n9HTdcssteuCBB3xHAQAkmGiLilGSciS9r6Al4lJJXzvnpuadYGaNJZ0iaWFJQ/pUgeUBAUDffvut\nOnXqpLFjx6pBgwa+4wAAEkxUj8zOuS8lXaagYFgn6W1JF+Y77WoFhcf0EuTzilYKAOWdc04vv/yy\n2rVrp/3792vu3LkaNmyY71gAgAQT9WOzc26SpElFHH9M0mPRfn8iYJA2gPJs165duuGGG/Taa69p\n8ODBGj16tI5gSjwAQAH4Lb4IzIwIoLxavHixLr/8cm3evFmvvfaa0tLSfEcCACSwEhcVZtZSUjdJ\nTXN3rZM0zTm3vKTf7RvdnwCUV845NW7cWB9//LGOP/74w18AACjXon5sNrNGkl6S1LOQ4x9LGuKc\n2xjtPXyjqABQXrVt21YzZ86UmfmOAgBIAlE9NptZDUnTFEwZmyVphqTvcw8fJ+lsSRdI+szMOjrn\n9sQga6mjqABQnlFQAAAiFe1j83AFBcV0Sdc5534IP2hmx0r6p4JuUcMlPRR1Qo8oKgAAAIDDi3YV\nhr6Stkq6JH9BIUnOuZ8k9ZG0TdJvok7nGbM/ASjL9u3b5zsCAKCMiLaoOF7SdOfc7sJOyD02I/fc\npETLP4Cy6s0339Sxxx6rxYsX+44CACgDoi0qXAmuTRqrVvlOAACxtW/fPg0dOlT9+vVTt27d1Lx5\nc9+RAABlQLSjBr6TdLaZ1SistcLMaioYU/FdtOF8a9PGdwIAiJ2vvvpK/fv3148//qh//vOfGjJk\nCIOxAQAxEW1rw7uS6kp6z8yOy3/QzI6X9G9JtSW9HX08vyqU+bYYAOWBc07PP/+8OnTooIoVK2rB\nggW69tprKSgAADETbUvFU5LSFLRE/NfMvpD0o4JuUcdL6pL73Styz01KFBUAkp1zTv369dNbb72l\nG2+8UaNGjVLVqlV9xwIAlDFRFRXOuT1m1k3SOEm9FKxLcXa+0z5UMN3s3pJF9IeiAkCyMzN16NBB\naWlp6tOnj+84AIAyKuqVGJxzmyRdZGYnSTpHUlNJJmmtgpmhvo1JQo8oKgCUBX/60598RwAAlHEl\nXt4tt3hI+gKiIBQVAAAAwOEVq6gws6oKxlEcKyld0hLn3MI45EoILH4HAAAAHF7ERYWZ9ZL0kqT6\n+fZ/Ieny3O5QZQotFQCSQXp6urZu3aomTZr4jgIAKKciemw2s5MlvSOpgYJxE+l5hySdoSSeNrYo\nFBUAEt3KlSvVuXNn9e3bV84533EAAOVUpI/Nf5RUWdLnkk5zzlWTdISCaWW3S+piZmfGJ6I/FBUA\nEtkrr7yitm3bau/evXruuedYdwIA4E2kj83nSNom6VLn3NeS5Jw74Jx7Q9KtClos8k8pm/QoKgAk\not27d+uqq67SNddco8svv1wLFy5UmzZtfMcCAJRjkY6paCpphnNuewHH/hN2TpmyYoXvBABwsIUL\nF6p///7auHGjxo8frwEDBviOBABAxC0VVSVtLOiAc+6X3M0qMUmUQBo39p0AAEKmTZumzp07q1at\nWlq8eDEFBQAgYdDBpwjNmvlOAAAhnTt31iOPPKLZs2frhBNO8B0HAID/Kc46FfXMrG00x51zi4oX\nKzFUKvHSgAAQO1WqVGF1bABAQirOY/NFua+CuCKOu2LeJ2Gw+B0AAABweMV52I92rsKkneOQlgoA\nAADg8CIdU1GjhK+kREsFgNI2ZcoUZWVl+Y4BAECxRFRUOOf2luQVbTgzSzWzx8xsrZntM7M5ZtYj\niu+ZYmY5ZvZMca7Lzi7unQAgOvv27dPQoUPVs2dPvfPOO77jAABQLIk++9Mrkv4gabykmyVlSfqP\nmXWJ9AvM7DJJnRSM7SiW9euLewUAFN/y5cvVvn17jR8/Xv/4xz90xRVX+I4EAECxJGxRYWYdJF0h\n6U7n3J3OuX9K6i5ptaTHI/yOypJGSXpUUYzt6NSpuFcAQOSccxo7dqzat2+vChUqaMGCBfrtb38r\ns6QdigYAKKcStqiQ9BsFLRMv5O1wzqVLGieps5lFsoL3HQqKiVHRBNhY4HJ/AFBy27dv1+WXX64b\nbrhBgwcP1rx583TKKaf4jgUAQFQSeX6j1pJWOuf25Ns/L+z4usIuNrOjFRQVg5xz6dH88nf00cW+\nBAAicsUVV2jBggV65513dNlll/mOAwBAiSRyUdFY0oYC9m9Q0PrQ5DDXPyFpkXPurWgDVK8e7ZUA\nULSnnnpKNWrU0DHHHOM7CgAAJZbIRUVVSekF7D8QdrxAZtZNUh9JHUoSoEIidw4DkNRatmzpOwIA\nADGTyI/N+yVVLmB/lbDjhzCzCpKelvSKc25RSQJQVAAAAACHl8gtFRtUcBenxrnvhU34OkjSryQN\nNbO8fgV5Aypq5O7b7JwrsCgJGa4XXqilTz8N7UlLS1NaWlok2QEAAAAvJkyYoAkTJhy0b+fOnXG9\np2i0BxcAACAASURBVDlX7OUbDv4Cs66SukhqIGmhc+613P01JVWXtMFFcRMze1zBGhV1wwdrm9nd\nkh6SdLRz7pCB2mb2Z0n36dApZF3uPiepj3NuYiH3bStpobRQY8a01Y03Fjc5AEgrV67UokWL1L9/\nf99RAADQokWL1K5dO0lqV9LePAWJuoOPmZ1sZoslTZP0iIICIHy160sl/Szpgihv8baClpShYfdM\nVdASMSevoDCzo8zspLDrJigYT3FpvpdJ+jB3e24kAej+BCAar7zyitq2batHHnlEWVlZvuMAABB3\nUXV/MrNGCoqJhpJmSpquoHUg3LsK1pi4RNLk4t7DOTfPzN6S9BczayjpOwUFxTGSBoed+i9JXZVb\nIDnnVkpaWUBmSfrROTcp0gwUFQCKY/fu3brxxhs1fvx4XXPNNXr22WdVqVIi9zIFACA2ov1/u7sV\nFBT3OOf+IklmdlBR4ZzbY2bLJJVkXeqrFHR1+v/27jzOrvl+/PjrnYikdm1oibWWVFGxSyixhFYI\nLSUhSNXXt1QtbSWqtKqqKNpov379qvbbWmr/WkpsRSKWECKj1PKtqlYWSxJphUTMfH5/nDOMydyZ\nO3eWc2fu6/l43MdMzjmfc97nzicz530/21hgdeBpYGRK6eGmlwIayjhXyl9lM6mQVK4nn3yS0aNH\nM3fuXK688krGjh1bdEiSJHWbSh+b9wX+2phQtOJlPhxY3W4ppfdSShNSSoNSSiuklHZKKf2p2TG7\np5TaTI5SSn1TSie15/omFZLa0tDQwMUXX8zQoUNZddVVeeqpp0woJEk1p9LH5nWAujKOqwdWrfAa\nhTOpkNSWp59+mvHjx3PiiSfyyCOPsPHGGxcdkiRJ3a7S7k/vkHVHassGwFsVXqNwJhWS2jJkyBBe\neOEFNtpoo6JDkSSpMJU+Nj8DbBsRq5U6ICIGAUOATp+yqrv061d0BJJ6AhMKSVKtqzSpuIasW9Ov\n8mlePyJf1foSYHngD5WHV6wBA9o+RpIkSap1lSYVl5Ot9XAI8ExEXJxv3zwizgWeJVsr4mF6cFIR\nzZfPkyRJkrSMipKKlNJS4IvAH4GNyRa+A9geOA0YDNwNjEoplTPda1VyTIWkd999l5NOOokXX1xm\n+RtJkpSreFWmlNJbwAERsS0wEvg0WZLyT+DOlNJDnRNicWypkGrbs88+y6GHHspLL73Ebrvtxqab\nblp0SJIkVaUOL/WaUnoSeLITYqk6tlRItSmlxGWXXcbJJ5/MRhttxBNPPMHmm29edFiSJFUtH5tb\nYUuFVHveeustDjnkEL7+9a8zbtw4pk+fbkIhSVIbKmqpiIiPt+f4lNL8Sq5TNFsqpNryyCOPcNhh\nh7Fw4UJuvPFGDjrooKJDkiSpR6i0+9Mb7Tg2deA6hbKlQqot1113HYMGDWLKlCmsv/76RYcjSVKP\nUenD/gKyZKG5Pnx0pe15FZ6/KthSIdWWCy64gL59+7Lccj3ycxBJkgpT6ZSyA1NKa7Tw+gSwCnAY\nMAe4NqW0RmcG3J1sqZBqS//+/U0oJEmqQKf/9UwpvQ1cGxEvAQ9HxJMppd919nW6gy0VkiRJUtu6\n7LE5pTSdbKrZ47vqGl3Nlgqp90mppZ6bkiSpI7r6s/h/AJt18TW6jC0VUu9y1VVXMWrUKOrr64sO\nRZKkXqWrH5s3Bxq6+BpdxpYKqXf497//zVFHHcURRxzB6quvznvvvVd0SJIk9SpdMiIxIlYCzgY+\nC9zXFdfoDrZUSD3fjBkzGD16NLNnz+aKK67giCOOKDokSZJ6nUoXv3u6ld0rA2vn536fLLnokWyp\nkHqulBITJ05k/PjxbLnlljz11FNssskmRYclSVKvVGlLxRZt7E/AY8DpKaWpFV6jcLZUSD3T/Pnz\nOfLII7njjjs4+eSTOe+88+jfv3/RYUmS1GtVmlRs2cq+94A5+dSyPdqAAUVHIKkS/fr1Y/78+dx+\n++2MHDmy6HAkSer1KkoqUkrPdnYg1ciWCqlnWnnllXn44YcJ+zBKktQtKnpsjoinI+Lmzg6m2phU\nSD2XCYUkSd2n0sfmjYHFnRlINTKpkCRJktpW6WPzP4AVOzOQamRSIVWvxYsXuzq2JElVotLH5puB\nXSNi9c4MptqYVEjV6dlnn2X77bfnl7/8ZdGhSJIkKk8qzgFeASZFxFadGE9VMamQqktKicsuu4zt\nt9+elBK777570SFJkiQqn1L2GmAeMBx4MiJeBv4OvNvCsSmldECF1ymUSYVUPd566y2OPfZYbrjh\nBv7zP/+Tiy++mBVWWKHosCRJEpUnFfs1+b4PsFH+akmP7fRsUiFVh0cffZQxY8awcOFCbrjhBg4+\n+OCiQ5IkSU1UmlTs36lRVCmTCql4l156KSeeeCI77rgjU6ZMYf311y86JEmS1Eyli9/d0dmBVCOT\nCql4n/3sZznttNM466yzWG65Sj8HkSRJXamsv9ARcT9wV0rpgi6Op6qYVEjFGz58OMOHDy86DEmS\n1IpyP/YbTjYQu6aYVEiSJElt87G5FRFFRyBJkiRVP5OKVvTrV3QEUm145ZVXig5BkiR1gElFK+z+\nJHWtt99+m6OOOootttiCOXPmFB2OJEmqkFOptMKkQuo6M2bMYPTo0cyePZtLL72UtdZaq+iQJElS\nhdrz2HxURNRX8Hq/y6LvYiYVUudLKTFx4kSGDh3KSiutxIwZMzjyyCOLDkuSJHVAex6bowOvHsmk\nQupcb775JqNGjeLkk0/m+OOP59FHH2XTTTctOixJktRB7en+dBdwflcFUo1MKqTOs2DBAoYMGcKS\nJUu4/fbbGTlyZNEhSZKkTtKepGJuSmlKl0VShZxSVuo8q6++Ot/73vcYNWoUgwYNKjocSZLUiRyo\n3QpbKqTOddxxxxUdgiRJ6gI+NrfCpEKSJElqm4/NrTCpkCRJktrmY3MrHFMhtc9f/vIXZs2aVXQY\nkiSpm5WVVKSU+qSUju7qYKqNSYVUnpQSv/71r9luu+0466yzig5HkiR1M1sqSjChkMrz1ltvceih\nh3LsscdyxBFHMHHixKJDkiRJ3czZn0pIqegIpOo3bdo0xowZw4IFC7j++uv5yle+UnRIkiSpALZU\nSGq3hoYGzjvvPHbZZRfWWmstZs6caUIhSVINM6koYcCAoiOQqtdPf/pTTj/9dMaPH8+UKVPYYIMN\nig5JkiQVyO5PktrtuOOOY8cdd2T48OFFhyJJkqqALRUluEaFVNoqq6xiQiFJkj7go3MJzv4kSZIk\nlcekogSTCkmSJKk8JhWSlvH222/zi1/8guTcypIkqQwmFSXYUqFaNXPmTLbbbju++93v8vzzzxcd\njiRJ6gFMKkowqVCtSSlxySWXsOOOO/Kxj32MJ598ks0226zosCRJUg9gUlGCsz+plrz55psccMAB\nnHTSSRx33HFMmzaNwYMHFx2WJEnqIVynQqpxU6ZM4fDDD2fx4sX88Y9/ZL/99is6JEmS1MOYVJRg\n9yfVgiVLljB27Fg23nhjrr76agYNGlR0SJIkqQcyqSjBpEK1oH///kyePJkNNtiAvn37Fh2OJEnq\noUwqSjCpUK3YaKONig5BkiT1cA5HLsGkQpIkSSqPSUUJJhWSJElSeUwqSjCpUG+QUuI3v/kN1157\nbdGhSJKkXsykogSTCvV0CxcuZMyYMRxzzDE89thjRYcjSZJ6MQdql2BSoZ7sscceY8yYMcybN49r\nr72WQw89tOiQJElSL2ZLhdSLNDQ0cP7557PLLruw5pprMnPmTBMKSZLU5UwqSrClQj3N3Llz2Wef\nffjud7/Ld77zHaZOncqGG25YdFiSJKkG2P2pBJMK9TSPP/44zzzzDHfffTcjRowoOhxJklRDTCpK\nmD276Aik9hk1ahR77LEHK620UtGhSJKkGmP3pxIGDiw6Aqn9TCgkSVIRTCpKWHnloiOQJEmSegaT\nihIcUyFJkiSVx6SihD6+M6oyM2fOZJdddmHWrFlFhyJJkvQRPjqXYEuFqkVKiV/84hfsuOOOLFq0\niMWLFxcdkiRJ0keYVJRgUqFqMG/ePA488EBOPPFEvv71rzNt2jQ22mijosOSJEn6CKeULcHuTyra\nlClTOPzww1m8eDG33XYb+++/f9EhSZIktchH5xJsqVBRGhoa+MEPfsAee+zBxhtvTF1dnQmFJEmq\naiYVJdhSoaJEBC+//DJnnXUW9913H4MGDSo6JEmSpFbZ/akEWypUlIjg97//PWEllCRJPYSfx5fg\n85yKZEIhSZJ6EpOKEuz+JEmSJJXHR+cS/KBYXSml5HoTkiSp1zCpKMGkQl1l4cKFjBkzhtGjR5NS\nKjocSZKkDnOgdgmvvFJ0BOqNHn/8cUaPHs28efO47LLLHDshSZJ6BVsqSlhppaIjUG/S0NDABRdc\nwM4778yaa67JzJkzOfTQQ4sOS5IkqVOYVJSw9tpFR6DeYu7cuXzxi19kwoQJfPvb32bq1KlsuOGG\nRYclSZLUaao6qYiI5SPi/Ih4NSLeiYhpEbFXGeW+HBHXRMRLEbEoIp6PiAsjYtXyr92x2CXIujtt\ntdVW1NXVcc8993DeeefRr1+/osOSJEnqVFWdVABXACcDVwEnAu8DkyJiWBvl/hvYDLgS+CZwJ3AC\n8EhE9C/nwk4pq86w4YYbsvfee1NXV8eIESOKDkeSJKlLVO1A7YjYATgE+HZK6Wf5tiuBZ4ALgF1a\nKX5QSunBZuebAfweOBz4bdvXrzBwqYk11liDK6+8sugwJEmSulQ1fx5/MFnLxK8bN6SUlgC/AYZG\nxKBSBZsnFLmb86+blXNxkwpJkiSpPNWcVAwBXkwpvd1s++NN9rfHWvnXN8s52O5PkiRJUnmq+dF5\nLWBOC9vnAAG0d36mCWQtHzeWc7BJhcr1z3/+s+gQJEmSClXNj84fA5a0sH1xk/1liYjDgKOBC1NK\nL3VCbBIpJX75y1+yySabcOuttxYdjiRJUmGqdqA28C7Q0kxNA5rsb1NEfB64nGwGqDPKvbgtFWrN\nvHnz+NrXvsatt97KN7/5TfbZZ5+iQ5IkSSpMNScVc2i5i1Pj2IjZbZ0gIrYCbgWeBr6SUmoo9+J1\ndacwatRHl7UYM2YMY8aMKfcU6qUefPBBDj/8cN555x1uueUWDjjggKJDkiRJ+sA111zDNddc85Ft\nCxcu7NJrRkqpSy9QqYi4gGyNio83HawdEacDPwLWSynNaqX8RsBDwAJgl5TS/DKvuw3w5N57P8nd\nd2/TkVtQL1NfX88555zD2WefzS677MLVV1/NOuusU3RYkiRJbZoxYwbbbrstwLYppRmdff5q7uRz\nI1lLyrGNGyJieWAcMK0xoYiIdSNicNOCEfFJ4B6ygdlfKDeh+Og5Kg9cvdPBBx/M2Wefzfe//33u\nv/9+EwpJkqRc1XZ/Sik9HhE3AD/Jk4S/kiUU6wNfbXLolcCufDRBuhvYgGyRvM/HRzOE11JKf2rr\n+o6pUHPHHHMMp5xyCrvuumvRoUiSJFWVqk0qckeQdXUaC6xONjZiZErp4SbHJKD5WIkt86/jWzjn\nFKDNpKK+vt2xqpcbOXJk0SFIkiRVpapOKlJK75GtLzGhlWN2b2Fb345e+8UXO3oGSZIkqTbYyaeE\nLbds+xhJkiRJJhUlOVC79vzrX//iiSeeKDoMSZKkHqequz8VyaSitkyfPp3Ro0cD8MILL7Dccv7X\nkCRJKpctFSWYVNSGhoYGLrzwQoYNG8bAgQO59957TSgkSZLayaRCNeu1115j33335dRTT+Vb3/oW\nU6dO5dOf/nTRYUmSJPU4fiRbgi0Vvdu9997LEUccQUqJu+++m7333rvokCRJknosWypKMKnovZ58\n8kn22WcfttpqK55++mkTCkmSpA6ypUI1Z5tttuHmm29m//33p49Lp0uSJHWYSYVqTkRwwAEHFB2G\nJElSr+HHtCXY/UmSJEkqj0lFCSYVkiRJUnlMKtTrpJS4/PLLmT9/ftGhSJIk1QSTihJsqeiZ5s+f\nz5e+9CX+4z/+g1tuuaXocCRJkmqCA7VLMKnoeaZOncphhx3GokWLuPnmmznwwAOLDkmSJKkm2FKh\nHq++vp4f/vCHDB8+nA033JC6ujoTCkmSpG5kS4V6tFdffZWxY8cydepUzjzzTM444wyWW85qLUmS\n1J18+irB7k89w4QJE/jrX//K/fffz2677VZ0OJIkSTXJpKIEk4qeYeLEiUQEn/jEJ4oORZIkqWaZ\nVJRgUtEzDBw4sOgQJEmSap4DtSVJkiR1iElFCbZUSJIkSeUxqVBVmz59OmeeeWbRYUiSJKkVJhWq\nSg0NDVx44YUMGzaMu+++m0WLFhUdkiRJkkowqSjB7k/Fee2119h333059dRT+da3vsVDDz3Eiiuu\nWHRYkiRJKsHZn0owqSjGvffeyxFHHEFKibvuuot99tmn6JAkSZLUBlsqSjCp6F5Lly7ltNNOY599\n9uFzn/scdXV1JhSSJEk9hEmFqsLcuXP57W9/y3nnncddd93Fpz71qaJDkiRJUpns/lSCLRXda911\n1+Wll15i5ZVXLjoUSZIktZMtFaoaJhSSJEk9k0lFCbZUSJIkSeUxqZAkSZLUISYVJdhS0bnmz5/P\nQQcdxKRJk4oORZIkSZ3MpKIEk4rO89BDDzFkyBAeeOABGhoaig5HkiRJncykogSTio6rr6/nRz/6\nEbvtthvrr78+M2fOZL/99is6LEmSJHUyp5QtYe7coiPo2WbNmsXYsWOZMmUKZ555JmeeeSbLLWd1\nkyRJ6o18yith4MCiI+i57rjjDo466igGDBjA/fffz/Dhw4sOSZIkSV3I7k8luGRC5ebOncuwYcOY\nOXOmCYUkSVINMKkooY/vTMWOPvpobr31Vgba3CNJklQT7P5UgklF5cJR7pIkSTXFR+cSTCokSZKk\n8vjoXIIftrduyZIlRYcgSZKkKmFSUYItFS1raGjgoosuYosttmDBggVFhyNJkqQq4KNzCX37Fh1B\n9Xn99dcZOXIk3/nOdzjwwANZccUViw5JkiRJVcCB2iXY/emj7rvvPsaOHUt9fT133nknX/jCF4oO\nSZIkSVXClooS7P6UWbp0KaeffjojRoxgiy22oK6uzoRCkiRJH2FLRQm2VMCCBQvYd999mT59Ouee\ney7jx4+nj9mWJEmSmjGpKGHevKIjKN6qq67Klltuyc9+9jN22mmnosORJElSlTKpKOGTnyw6guL1\n6dOHyy67rOgwJEmSVOXsy1KC3Z8kSZKk8phUSJIkSeoQk4o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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1008,14 +1029,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Saving figure roc_curve_comparison_plot.png\n" + "Saving figure roc_curve_comparison_plot\n" ] }, { "data": { - "image/png": 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pyc0jIiLxccMNN9CoUSM++OADSpcuHXQcSXGhKm7yGle2ciUceiiUCNVFOBGR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\nEDChsANUucrXPb2kVG4uAJV80ioD5wPIWxlrTIG/vCr/gik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iiuyTiqefztp27rnukVl2U2aqVQsuQgb9PhWRok1JhYcOH3ZFeU895YrxclPU6hVECpPM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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1387,14 +1408,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Saving figure confusion_matrix_plot.png\n" + "Saving figure confusion_matrix_plot\n" ] }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1425,14 +1446,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Saving figure confusion_matrix_errors_plot.png\n" + "Saving figure confusion_matrix_errors_plot\n" ] }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1459,14 +1480,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Saving figure error_analysis_digits_plot.png\n" + "Saving figure error_analysis_digits_plot\n" ] }, { "data": { - "image/png": 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xcezs7ODWrVv485//jGAwiLm5OVy5cgX5fB5CobAhMh7ZbJaWJlwuFw2YvwuBQIDBwUFM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\nQUQ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kBGtra/jss8+oKJwMrf3e976Htra2l/7d5zLAIZEvcS0WiURQq9Ww2+3w+/1Ur+L3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VDQpPCzZ8/SOI/79+/jv//7v8Hj8dDU1IS2tjZYLJaqTXa9VwVOqVTCxMQEvvzyS3g8HvqA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\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qlQosFosGO0wm842Z96eBg4MDyskizuIAkM/nkU6nEY/H4ff7sbi4iLW1NWxvb6NYLKLZ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\nhxBCCCE15/+dZO7bCSjz4wAAAABJRU5ErkJggg==\n", + "image/png": 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OpwO9Xg+VSsX3i5rZgX+U10sDl81mE+PxGM1mE4VCgQN67XYb4XAY4XD4WvtK+ixSqbJW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yVrtVqmrzgcDh67UnV9fYxNkEqlPNUwGAywWCxoNBro9/sYDodMQ2s0Gu+lT7htEJ1neXkZf/zj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QEwsRIkSIECGEmFiIECFChIjr8N79YTonP0SIECFChAgRIkSIEHGvICYWIkSIECFChAgRIkSI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rZj0e/3kUwm8fz5cyiVSuTzea4KD4dDNJtNXF5e4ocffsB4PIZSqYTBYGDjqdtcI1Rdy2az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\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er2diMR6PUa/XkUql8NNPP+G//uu/sLu7OxUoAoDH48Ef//hH/PGPf8R4PIbRaJw7YtFu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La2duuJvphYfEHcxKGs1Wq4uLiA1+tFr9e7o0/2ZaHT6bC6ugqdTodOp4NkMskBZb/fZ9pTPB7H\nxsYGVldXWbVBp9Ox6Rll56SI0e12oVQql6ZTIQQlEMLP/qkVETqMiW8tHMYS8kkXBRqNhoNeGrCT\nyWTvTQCoXT0YDJBOpxEOh5FKpdiJlIzIut0uq625XC5EIhGuiC5zYkH3xmKxYH19nSlyNKBYrVbZ\n1X48HsNoNCISiSAQCHBiv8zXv+iQyWRwu9149OgRB8vE/abZGHrWKdHvdrssi0yHPLkQkwoOAA68\nhIPgJGNLQcFgMEC/30cmk8E///M/w263L2RiIXTepoJSpVLB6ekp71dSqRRWq3Wh/HduE1qtFjKZ\nDH6/H7FYDLlcjucIaU1MJhMegKeCg16vh8/nW0i5XpVKBY/HgwcPHuD8/Jy7BvV6/UqMQ+ueKvHz\n+RxarZYlaPV6PRuo+v1+WCwWHsYmGvGHVCFJ6pyey/F4jHw+jxcvXuDFixccU9AcbKVS4QRkMBhA\nLpffmTgMSfBaLBaEQiE8fvyYZXWJ8XFdFQp4m8wThZwSEeGfg8GAz1/ymFKpVIhGo7fa7RcTiy+E\n6y6QwNtDg3io9Xqdq/PLDrVaDa/XC6vViouLC5ycnLBc2mw2QyAQwMbGBh4/fozt7W3E4/F3/g3i\nWlIlgx4IiUQCjUazVDb2ws/5OZ+ZWuTkjUGBpUKhYCm5RbwndBhYrdaPfi8lnC6XC6lUCjabDUql\nEoPBAI1Gg40DI5EIwuEwU4EWsZL3e0GdHkoQnE4nqtUqG431ej3UajWWY8xmszg7O4PT6YRSqYTL\n5brrS7jXIE15hULB63A4HKJcLqNcLr/Xr+dTIJSiHQ6H3NnodDrIZrOIRCL44x//+MV+35cEUVxp\n8JjUjc7OzjCfz3nIncQ6aA8jeqjwz7sYML0N0N7ocrlY/W8ymaBWq/H3TpX1RqMBq9UKt9sNg8EA\nmUzGUqm/Z5D5tqBSqeDz+fDo0SPIZDIMh0OUSiWeDRRKbNPnps4WqSS6XC4YjUb2+SB6NAkZUJfr\nQ1V2St6piziZTJBOp7k4k81mWea20+mwvLnBYIDFYkEgELjFu3YVBoMBOp2OKa6tVguZTAbpdJo9\n0IrF4jvvEw6nk/wuSbfXajXueBSLRVbX3Nra+qJ71u+BmFiI+GhQO06tVmN9fR3T6RRPnjxBt9vF\neDxGOBzmwaEPBZvEqRQqOlgsFni9Xm6lf0ug1mY+n8ebN2+ws7ODi4sLAL9uRGS4dl8OYL1eD6/X\ny3MH8Xicq0gXFxdotVrodrs4Pj6GXC5Hr9e7N8G1RCLhBJpMAon6Bvxa3W40Gjg4OGBJ59XV1aV3\nZl1k0IyFRCLBysoKlEolYrEYJxbEEycI6R8f+3cUBNVqNe7YUXIxn8/R6/Xe+X2LAIlEAr/fj+fP\nn0OtVuPo6AipVAqDwQAXFxeo1+tM4yOvGvL+IFMz+t82m42HS+/LvnYdBoMBsViMVcSazSakUika\njcYVQ7hKpYKdnR3uipEoAM3eLQI0Gg3C4TBLaBuNxivrlihclBTQHJ7X64XFYuEuFyUP5ENBEsX0\n+q1ESrh/KhQKzGYzuFwubG1tQSqV4v/+7/+YWguAWRJEb7zL54q6edTJozlLs9mMYDCIzc1N/txC\nULdbpVLxwDsN/ieTSRbOodjqrhgOYmIh4qNBD7JCocD6+jqCwSB7GQwGA65Q/ZYmuzCxAN5uQGaz\nmWk139rwH7Voi8UifvrpJ/zwww98n4WJxX0CBR1ut5tVPQCwQhKZyJ2cnKBcLkMqlSIWi93xp/4y\nIHleGtonFSIhbYSMyA4ODlCr1bC6unpvOp+LDAp69Ho9IpHIlY7FpwYkNyUW3W6X3auVSiUbZNJM\nB3nALBokEgm8Xi+ePXsGlUrFwTJViqfT6TtdCL/fz51H4YtkMYVzZvcNer0esVgMTqcTjUYDl5eX\n6PV6PIdAIIWtTqcDq9WKSCRyxa9hEUCJhcfjgdFohMFgQCq0qHkQAAAgAElEQVSVYmYGqSDS59Vq\ntdja2sLDhw/Z60XI8Li+Tn5vcincP4G3z5dMJsPW1hbcbjcLLBAWJbEQXifRhXU6HScV1+Oi972X\n/nsul8OrV69gMpnYD2MwGNzpTOa3FbmJ+CIQUr1oKE+pVEKj0WA8HsNgMPBcwHXQw9Dv95FOp3Fy\ncoJMJoPZbAa73Y5YLIbt7W0EAoFbD6KJJzocDlm67TYl2mhY+ZdffsHh4SFKpRKcTiesVitXsu9b\nRY8CCfpzPp/DZrOx+WSj0UCxWMR4PEa73Ua9XketVkO1WuWB+WUNRq4P862urqLT6aDZbCKbzfJg\nHnl/dDodXiOkRCd2Lr48rgc9wNv1abFYWA76S4GoDNSJpCCL1IQWtTtJHgEej4fl1W02Gy4vL5HN\nZtFoNJjjTpS+arUKmUyGfr+PcrmMi4sL+P1++Hw+2O12rn5TJ0M4zLvsEAq9xGIxfP/999BoNEyD\noqIKiQJUq1Wcnp7i5cuXePDgAdRqNbRa7ULQxSgglslk8Hg8mM1m7OHU7Xb5eyTGAblgC7uxX+pz\nXP//pK6oVCpv7HoQPe+uE/ab6NOfeo5RN9DpdLIk+Ww2YxM+KvqSN8ZtFGzFxELEZ4Ha10SNms1m\n3NZ7H6jFf35+jr/+9a+4uLjgzWl1dRXPnz+H2Wy+9cSi3W4jlUqh2WyyEsttHmqZTAZ/+ctf8PPP\nPyOZTKJWq/Hgpslk+iYGICUSCbvaVyoVXF5esrcJudRWq1VUKhUeCl3WxEIIm82G9fV1jMdjZLNZ\nHB0d8UCs0K21WCzi8PAQcrkcsVhMTCxuCSSz/aWfQapWCjn01BGm4syirm/yqlCpVLDZbFhdXcXZ\n2RmSySQuLy95GJWGZknpjQRNSA3HbrezWarH40EikcDa2hpX6u9DYkFBr0qlQiwWg8lkglQqRTab\nxenpKfPhKbmgWRXg7UxDIBCAw+G4de+F910LfQ4aNA+HwzznIPTsAH59dm6bgXDTfRqNRlccr+8D\n5HI5DAYDi+PQ4DZ1w2j2iUwDxcRiCTAej9FoNJDP59Fqte7NYv09oOrJxxx8FCS1221cXl5id3cX\n7XYbcrmcJXmDweCtGYHRZ2m328hms8hkMuh2u7Db7V+8hSgc1Oz3+6ziQAN8Ozs7eP36NU5OTtDt\ndnkg2u/3w+12syb1fYTwECDjyVKpxPxrqt43m032vyBTwftAmSOH2FarhVAohEAggGKxyCIH1MZv\nNpvI5XJwu91LqXe/rBAOoH4JjMdjHjxtt9ss2U1iDTSPsKiUUKpaE9/bZDLxQC4NIJNXTblcRqVS\nwXQ6ZdUsIc2x0+mgWq0in89f4eq73W5YLBaYTCZotVpotdqFTbJ+C0LpcZI5LZVKiEajSCaTLEFL\nZwGZoI1GI3g8HoTDYWi1Wp7DWoRrAbCwkrhCXO8OfM2uj1DtjShNFCN9rbUrvCYhm4SU5kjKn86R\n28Di7VhLBpJbffHiBdLp9I3awyJ+BQXVzWYTxWIRmUyGDya73c5DX7dVmZlMJjg/P8f+/j7q9Tr6\n/T7UavVXeQhJlrLdbiOTyeDi4gKFQoEpAycnJzg9PUW/34fBYIDf78fa2ho2NzcRjUbvTBrvtmE0\nGuH3+1Eul+F0OmE0Glkrvdls4vz8HDabjdVJFoV7/Dmgjp/FYkE4HMbW1hbkcjkajQb6/T4fUkIz\nwUXk3ov4feh2u6hUKrz3vH79GpeXlyw5GggEsLa2hmAwuPBzVUTb0ul08Hq90Ol08Pv9aLfbnCSQ\nWapEIuHORS6X46JOr9dDPp/H5eUlMpkMXr16hVAohFgshmg0ilAohFAodC+6ttTlt9vt2NjYQLvd\nxsnJCReUqPhEhcqjoyOYTCYMh0Osra3deWKxrLhufPm11pKw80SFgq/ZWSeZalKFooKoVCrlAi15\nytxWt0tMLD4RlJG2222cn5/j559/Rj6ffyexuCmb/JZBHEeSKMxkMvD5fPD7/ZxY3KYa1Hg8xsXF\nBf785z+j3+/DbDbD6/ViPB5/dmIhfD/JL7ZaLZTLZRwcHODly5c4Ojpiak+/3+ekwuv1YmVlBYlE\nApubm/D7/QtfGfpSMBqNMBqNqFQqcDgcMBqNGI1GzEc/Pz+HVquF3++/Nx1CGkK0Wq0Ih8NsuEZ0\niOuJxV2rmoj4PFBwfXp6iv39ffzyyy+squd2uxEMBvHkyZM7mTX7WAi7OZRcfAi1Wg37+/s4ODjA\n+fk5eyEUi0Xkcjn+uZWVFTx79oz9jbxe7xUX9GUEUaJkMhkcDgcePHjA1eVCocDnDs2UtdttHB8f\nA3jbXTeZTFhdXf3oQef7jps6BdfPb4lEcsV75WvEGfS7qSvX7/dZ8YwofV/qO6Pro7VSrVbZ3VyY\nVNBLTCyWAJVKBZVKhecDyACvVCrx5qHRaODxeLC+vo5QKPTNBIYfAlWcT05OeKAoFArh+fPn2N7e\nvhN3cmpVUubfaDQwGAw+K7Ggw2E8HnObv1Ao8Ovi4gLJZBLFYpEVHKxWKztMx+NxJBIJrK6uMh1o\nESkRXxOUPKyvr+P4+BitVosHmcn3ZJGMAkWI+L2o1+s4OjrC69evkc1mMRwO2fyKigoPHz6E1+u9\nFx05IchgTSKRsL/D5eUlTk5OcHZ2hkqlgnK5jOFwiHQ6zW7NZrOZ6VaLnmz9Hmi1WqYzqlQqeL1e\nHB4eYn9/n5W1ZrMZWq0WLi8vYTKZ4Pf74fF4YDabYTab793a+FSQglqtVsP5+TnLrl43JaaOhcFg\n+CqJBQX4pVKJ5aNDoRDi8Tg8Hg97dHwJEJ2afI4ODg6YPqtUKvl5sVgsLKhzW/NK31ak8gVRrVZx\neHiIbDaL+XwOr9eLcrnMNB65XA6tVnslsRAHLYFWq4VkMonT01O0Wi1oNBqEQiE8e/YMT548uXW6\nj5D/OJ1O0el0oFQqmX7yqaDEotfr4fLyEq9evcL+/j5yuRxyuRzq9TonMNer1eRYvr6+DpvNBpvN\nttTqR58KOnjX19fRarU4iSf97tvkjIoQ8SVRr9dxeHiI169fo1AoYDgcsuSwx+NBLBbD1tYWy97e\nJ6hUKp6fIP53LpeDz+eDw+HA4eEh753k6kxBEg2234fEgpJIi8UCn8+Hhw8f4r//+7/RarXYHI2c\n3yeTCVM/hTMX921tfCqGwyEajQZyuRyOjo7YA0qYWBAV6mt2LDqdDjKZDI6OjtiL6tmzZ1AoFKzq\n9SUTC/K/OTs7w+HhISqVCkajEcvXkqok+aDcVgwhJhafiHK5jP39faRSKQ52qA1FlvRerxehUAjR\naBRutxtarfauP/adQNiebDQauLi4wNnZGdrtNvPKPR4PXC7XrSuAUHvUYDCwlGmv18PZ2Rk8Hg8s\nFgvUajU0Gg2/bjK+orYnDSX2+320Wi20Wi2WkD06OuJOF9FZ5HI5SyyurKzgwYMHiMfjiEajCAaD\nXOH41roVAFgVhtR4pFLplVbzXehzf22QTCDRYu7jNX6roMJFp9NBOp1GKpXC5eUlOp0OptMpDAYD\nAoEAYrEYfD4fbDbbXX/krwIqpAjFKChRIEntfr/PsrXFYhHZbBbpdBpGoxF2u/2uPvo7EBY2aBh/\nNpux78SHaNDkUaTVaqHX6+F0OlEoFHB0dIRSqcTGiTR4WywWcXJywpKi5ND9rYKEc2hek0Q9Dg8P\ncXR0xAk7ne8kYx4MBuFwOL5KPEYJTqFQQCqVwtHREdRqNcxmM2azGRsL0nf/sfEO0WEnkwnK5TLS\n6TTOzs6QyWTYvwIALBYLotEotra24PV6bz2G+PailS+EUqmEN2/e4PDwkIOdWq3GHgiBQACJRAIr\nKysIBoOw2+1fLFNdRpBCQb1eRyqVwvn5OftgqFSqO9NsJ9djp9OJUqmEVquFer0OpVKJdrsNj8cD\nh8MBl8sFr9fLLXwh5vM5yuUyisUiisUiG2mR30KhUEAul0O5XOY5CuLHU1U+Fovh8ePHePz4MUKh\nEEwm0zsylN8aKGHv9XoYjUbfRHdiMpnwDBIVKkTcD0wmE+TzeSSTSRwcHCCXy7ESFPBWcjiRSGB9\nfR0Oh+OOP+3tQqfTIRgMQqvVspKNXC5nwYZ6vY5sNguPx7NwAilUOOt0OiiXy5hMJuwoTtz6D51r\nQgdpt9uN9fV1dDodHBwcoNFosHtys9nE8fExer0ebDYbHjx4cItXuXgYDAZIJpPY29vDxcUF0uk0\ncrkcF++63S5GoxFMJhPPKz558gQbGxvw+XxfhZpOMq8kadvv95FMJjGbzVCtVvHHP/4ROp2OvT4+\nNrGYTqfodrtcnDg4OMDR0RFyuRw6nQ6rtblcLjx69Ajff/89gsHgrYseiInFNQgHf0gaVegITNWH\nXC6Hw8NDvHnzhv+eoNVq4fV6EY/HEQ6H4fV6v8nKAgWCQrOWcrmMy8tL5HI52Gw2Htgmw53bhlQq\nhcFggNvtRjqdxmg0Qjab5QpRIBBAKBRCJBLhDsP1QH82myGdTiOZTPIGl8lkWGax2+3yTACpXZFS\nhN1uZxUgcid1u923fh8+B/S8XHf6JIoZJUe/N2mkg5roEOToPpvN7m2SdX0Qr1wucyVbxHJjOp2y\ncEMqleLuZbFYRL/f56q12+1GIpFAIpG4t92K90GpVLIpXqlU4uJMOp3GZDJBr9dDo9Fg1aRFwXw+\n505FsVhEKpXCcDi8MjuhVqu5Ov2+qjH5C5DUdrlcRqFQuCIfSnz6VquF58+fYzgc3tp1fikIi0MU\nVwl9Ma7/LJ0r11/T6ZTp6H/5y19wenqK8/NzlMtlLmLSuWOxWLC6uopnz55hc3OTfUS+ZhGT5MHH\n4zEuLy9RqVRQr9eh0+ng8Xhgt9sxmUyYASF8CZ3IhZ9xNpuh3+/zDNLZ2Rn29/dxcnKCYrGIXq8H\nnU7HFLuNjQ08ffqUC7e3CTGxuAaqkJJ8V7VaRbPZZLlLqrDv7u6i1WpdeS8tBFIesFqtS629/aUw\nGo1YXvX4+BiNRgNqtRrRaBQPHz5EIpG4Mwk9UucgmlY2m0Wz2cRsNkM+n0e320WpVMLZ2Rlev34N\nu91+4wZYrVZRrVZRr9f5RZUFao3rdDrW/Xa5XHC73fD7/YjFYkx/WEa6HCk2tVot1Go11Go1PiRN\nJhO7mP/eVixtyPV6Hel0GsfHxyiVShiNRve260dFjGaziXQ6jb29PZRKpYWrzor4eFSrVSSTSZyd\nnWFvbw/7+/tIp9PodDowGAwIh8MIh8PY3t7mauq3VohqNpu4uLjA+fk536NUKoXBYMCCFolEYuH2\nyH6/j6OjIxwdHSGdTuPy8hL9fh9Wq5X9POhFdN/roDkKMmg9OzvD+fk56vX6lUBco9HA5/MhEAjA\n4/Es7XyFUCGx1WpBp9PBaDRCrVbz2UpnQK/XQ7PZ5J8lv496vY5yuYxkMolkMolyucyzKPP5HBKJ\nBFarFXa7nbuA8XgcDocDSqXyqyUVer0ewWCQfbpMJhN6vR5Tl37++WcMBgMYjUYYDAaek1GpVFfo\n1lqtltWkqHNHMxVnZ2dMf7q8vESxWES73YZUKoXD4UAwGEQsFoPdbueC7W0zQcTE4hpGoxEPT9Gi\nzWazyOVy6PV6MBgMMBgMrFIjBGWb1xOLb1kSjio6mUwGP/30EycWKpUKkUgE33//PSKRyJ0dpDKZ\nDHa7HSaTiQ83MnYqFArI5/NXtKDfFxyT9ji9hN0uqloZjUa4XC44nU6sra3hwYMHiEajcDqdcDgc\nUKlUS6nTPhqNUKvVkMvlcH5+jmQyCZVKBb/fj0AggPl8/lFGduPxGP1+H/V6nQfh6vU6xuPxvU4s\naO/JZDLY29vjw1XEcqNWq+H169f461//ykEB6c1brVasra3h+++/x9raGuLxOJxO5zc3U9VsNrG3\nt4e//e1vfI/a7TZmsxlLgMfjcfj9/oUyCu33+zg4OMC///u/4/z8nItRFCCura1hfX0dm5ubTFG5\njul0yjFHKpXi6nutVrsyY6VWq+H1evHgwYOlTSyoAzEcDvnMsNvtV7wehCaKRIGjGIxMbFOpFM9Q\nkMksqQRSHCacW1xbW8Pq6ioMBsNXPWNpTmo8HrP/CKlNUqHo9PSURRmIFmUwGGCxWGA2m5lGZzKZ\n2ICy0+mg2WyyEMyrV6+YbkUzOJRYrK2tYWVlBXa7ned8bhvf1u71HlDbajKZXBm8Iek34s0PBgNo\ntVrodDpeJDSIo1QquUK7traGWCwGv98Pk8l07w6JwWCAZrOJRqMBvV4PnU53ZU5C+HPtdhv5fB7H\nx8fY2dlBPp+HRCKBw+GAz+dDJBLhoPouIHSQJX5rr9eDXq/HfD5Ho9FAp9N5J4m8DmpBknqTTCaD\nTqeDVquFwWCAyWSCxWKB3W5n+lMkEoHX64Ver4fBYFjaBHQ6nfJ3nc1mcXBwgNlshsvLS5yfn8Pj\n8cDj8UCr1fJGSS8CUYA6nQ4PwJ+enuL4+BjVahWj0QgSiQQmkwnhcBjr6+twuVxL/WwJqWN0aL5+\n/RrpdBrdbpd/jjqhtKaEh46IuwOt++FwyJVlMouTyWRcYd3b2+MqfLFYRK1WY/oldW03Nzfh8/lY\nLGLZQWubaCk0JwCA5yaazSab56XTabx+/Rp7e3toNpsYj8fc7fT7/VhdXYXf74fFYlmogFooJkFV\n5VarhXa7zc+s0AG51+txDEHzVM1mkw0Dj46OkEwmUSqVeA+gQV+Hw8GzeH6/f2nWiZDO1Gg0UCqV\nUCgUkMlkkE6nuWtvs9mY/kTeTkT7Eb5Isr1er/Pv0Ol0sFgs0Ov17NIulGwPhUIwm81XkpevAaVS\nyQXEeDyOP/zhDzz7Ua/XMRwOkcvlWMBArVbzeqAEw2g0sokffff9fp+Tk9PTU+TzeRb3UCqVsNls\nsFqtWF9fx6NHj7C6ugqLxXJnbJnlPZW/IObzOVOgKpUKMpkMTk9PcXR0xBtdv9/HZDJBs9mEQqHg\ngVKSlRW2tDc3N7GxsYFIJMIDuPcJvV4PFxcXOD09hc/ng9fr5e6MMNDrdrvIZrM4Pj7GwcEB9vb2\nMB6PuaVLreHbNsV7H2w2GzY3N6HVanmwipRbPsRnpYCXZmkUCgXUajW3wOmhN5vNVzYPo9EInU63\nENf+OaB5pOFwyO3pZrPJLV1KPmnDJA12s9nMGx+5kafTafb/qNfrXAEkDrLL5cLW1ha+++47hEKh\npb53RAkYDodIJpP48ccf8erVK2QymSs/RwEKFS+Io3sfJDeXGeSOXKvVOGhWKpXQ6/VQq9VMa3nz\n5g0ODg6QTqfR7/cxm83gcDjw+PFjPHnyBA8ePEAsFoPBYFiooPlzQB048hcQync3m02cnZ3h9PQU\nhUKBC3eVSoVpskajER6PB5FIBKurq1hbW4Pb7YbRaFyoZ14mk8FgMMDlcqHZbKLT6bDPDu2HNHBb\nrVaRSqVYBKTf7/O8IQXL5XIZpVIJzWaTBStI1cjtdiMej+PJkyc8j7IsoOSKiidEB0yn04jFYiiV\nSnA4HJyAkXFirVZjtUVaR+TfIITZbEYoFGLJYrvdzq7tbrcbJpMJGo2G5/6+FmQyGVQqFccSKpUK\n+/v72N/f5xkQmhOSSCQYDAYs1qFUKrlITf+bipR0X/r9PhqNBicV8/mchQ9WV1exvb3Nxpq3Ld0v\nxDedWAit19vtNprNJj/Y+Xwel5eXzPOkISOqykulUg6YiMu3traGtbU1JBIJxGKxpRvC/b0YDAbI\n5XLY29tDu91Gr9eD0+mE2WyG0WjkViQlFbu7uzg5OUEmk4HVakUwGEQ0GmU510WpvBqNxiu0rPl8\nzlX2Uqn03vdJpVJOKqkqotVqEQwGWdrOYrHAaDRypf4+zd0IvUAoSW80GqyQQlUoogfS0L7dbuf7\n0Gg0cHJygtPTU650UiBCyl06nQ4+n4/dyBctyPgQrg+3k+IV8YcPDg7w448/Ym9vD9VqFQBYUUaj\n0UCv18NutyMQCMDv97O3iYjbB3W3W60WstksUqkUgLf7gEaj4YIBiXtQUFGr1aDVajnoefLkCZ49\ne4ZgMAiPx7NU3TehuAlV64mKQvTXwWCAXq/HnUg6Q6vVKnZ2drC7u8tzCZ1Oh5NnmiEgP59EIoFg\nMAir1bowZwVBLpfDYrEgFAoxbVEul3O1vdVqcRejWq0ik8nwWdHpdJBMJpFKpfjn+/0+B41U0bZa\nrXA6nYhGo4jFYlhZWfngIPiiQdjVqVQqODw8xIsXL7iQVK/X0e/3YbfbORk9OTnByckJms0mgF+7\ntsKzRqvVckU/FApxgk4dcp/PB7/ff6s0a9qzDQYDotEoLBYLF1xVKtVvFlGFYgDvA52FBJfLhQcP\nHmBzc5Pl6q1W6xe9ro/FcqzMrwTKAKnFRGoU/X6f22XCCX3KRG02G1ee7XY7vF4vVyE8Hg+cTued\nZotfG8IKTL1ex+7uLgc+tPmrVCpWzjo9PUWxWIRarUYwGMSTJ0+wvb0Nv9+/UAG2TCZjX41EIgGD\nwYD19XVUq9Ur1JTrkEgksFgssFgsPHClUCh4aJlasyqV6k4kdb82FAoFd2y2trYwn8+RTqdRKpVY\nFYt8GcgUsNFoMC0OAKtdCCsxUqmU15LP54PP58Pa2hp8Pt87w36Ljtlshm63e0WGkIbTaVj74uIC\n9XqdB7apExoMBrG+vs4c/Gg0unQVy/uEbreLWq2GTCaDn3/+Ga9evWLTNo1Gw7TQi4sLXFxcoFAo\noNPpQKvVYmtriwOAjY0Nriwu0j74e9HtdlnBLJfLoVgsctJFdMabEoter8cV+kajwU7BxDNfX1/n\nIDESicDv91/pbi4SKBGSyWRc9Dg/P8fOzg7evHnD/HeaF+l2u2g0GkilUjybRkIfNCtASQWdKSsr\nK1hdXcWDBw8QCAS4sLksex+BklEyRaSiU61Ww/HxMbuNUwJyPbgm+pBGo+EOuNPpZPd2msGh2Owu\n6aIymYzna+PxOAwGA9bW1pgC+CUhFIMhz4q7xjedWNADX61WkcvlkMlk0Ol0MBwO30kqgLebCPEc\nXS4XXC4XAoEAotEoO2FqNBrm8d1XEDe0Wq0yN5QMe5xOJ6sfFQoFHB4eIpPJMC0mEAjgyZMneP78\n+cIdFiRPRzzJWCzGVebf8lCgKopwvQhlVj9klLTsUCgU3KkC3lLKyAn09PQUlUoFk8mEA2oKMIT3\nQygjSJDL5fxdBAIBbGxsYG1tDV6vl3/fstzP2WyGXq/HgQQpkFEAUigUUCqVrgRgVN1eX1/Hn/70\nJ/zDP/wDP0f3MUFdFnS7XeTzeRwcHODPf/4zfvjhB2i1WpjNZk52KWAigzOJRAKz2YzNzU3827/9\nG6LRKOx2O4xG41IGiQBYPvz4+JgldCmhECYWnU6HA2u6NzR3Qc+9Xq+HxWKB3+/H+vo6/vCHPyAS\nicDpdDJXfJHOCoJKpUIgEIDX62XWw/HxMabTKdLpNBdSer0eut0uS+gKzT7pRd0e4O2eSt39hw8f\n4unTp0s92E/XRhS50WjEe32tVkOz2eR7AvyqkkcgOigJ49hsNni9XmaJRKNRRCIR7oILX3cB6qho\nNBqYTCaOJYTWBV8KdG+oi7UI1PvlW6FfEEQzoGEbuVyO4XDIDqk2mw2xWAyj0Qiz2QwajYZ588QR\nt9lscLlcsFqt3JZbxA3wS0Kn0yEajeK7775DKpWCw+FAt9tlWTRSfGg2m5hOp2wYGAgE8OjRI4RC\nIa7uL9KBej0pWLS2+6KCOj0UNBB1x2azIRKJsGxzpVLhLhd1MYbDIcbjMWQyGaxWK4xGI1e0tFot\nnE4n3G43NjY2sLGxgVgsBovFshCb5/swm804sGo0GlekiOm5aDabKJVKPMNDXh0AuOodCASwsrKC\ntbU1BAIBWK1WPjwW6bn5FjAejzkpPDs7w9HREVOcSIp8PB5DqVRe8SShgovP50M0GsX29jZCoRA7\n/y4Lle865vM5isUidnZ2cHJygnQ6jWq1ylx4qrxPp1MWHaB9geZI5vM5y2/TWep0Otn/yW63L/wM\nGtGj6TMqFAoMh0M8efKEDRELhQJqtdqVPW84HEKhUPA8DgXber3+CvUpHA5jdXUV0WiU18yyPfsU\n+CoUCrjdbjx+/BgKhQLn5+e4uLjgM0AYcAtnloj6I1RPslqtcDgc8Pv98Pv9TMVelLmzbz2W+KYT\nC3qwKQv2er1cORiPx3j8+DFXEOfzOXMeqStBNA2SDlvWytPHwmAwsOQdtfvz+TwP4FHgRL4DNpsN\njx49wqNHj1iL/D4OtX+rIIll6jCYTCY4nU7EYjFW1CJzsLOzM6aHFAoFVlBRq9XweDwIh8NMnTAa\njcwrJuMwMlRcZMznc6bLkInR2dkZz1OQZn273Wavk/F4jMlkArlcDp1OB7PZjEgkgocPH7ITM7nz\nirh9jMdjVu3Z3d3Fzs4Od+NorojoexQUkXBBLBbD3/3d32F7exuRSARutxs6nW4pK8+E+XyOfD6P\nV69eIZlMspobDdqS2AINYstkMrhcLng8niueRUQhttlsnGSQsAUZyy0LqKjodrvx9OlTeDwelqwn\nZSCif5GIicvlgtls5v3A5/MhHo9zMkE8fSFXfxlB3XtyVw+FQtjb28Pu7i7a7TbLpl4HDca7XC6m\noZvNZphMJhiNRqYZq9XqhaAAiXiL5VylXwjUPlKr1d+cIdHngIJAl8vFbcnLy0t+VatVrmBrtVpO\nLB4/fsyHyH1RPxHxKw2MBtSEmE6nrOJBnT2bzcbyqmQ+qVarWcWDzPYosYhGowiFQgiFQgtljvU+\nzOdzlmTOZDLY3d3FL7/8wnQIuh+j0YjvnVqtZrlqOki3trbw4MEDhMPhhe/S3HdQYvH69Wvs7u7i\n8PAQ2WyWeeIkAkLJtUql4u+RqCxPnz5lY6xlDRCvQyKRcFBns9k4saCkgopuKpWKB2rNZjO/3+/3\ns8zusvr4ECieIG6/y+XipMDhcMDlciGbzaLRaLBUO2RNEOIAACAASURBVF07FRwCgQDW19exurrK\nQg1KpZLnKpYR1LEAwCImNIupVqvRarV4PxRiPp+zCp5QXdFgMHAHTMRi4n7sbiLuBCSzKpFIYDQa\n4ff7eZMgOTiFQgGtVssUskWRlhVxOyCqgE6n48Eyn8/HyQPRAmhY0Wq18t+pVCr+O5PJtDTrhjjk\nw+EQnU4HlUoFxWKRZXTH4zGm0yl3epRKJZsJBoNBRCIRhMNhHshbpBb/t4rxeMzmVDRkT3Qf6mbT\nrJHT6YTT6eShW0qYTSbTvVGEk0gkWFlZgUQiQbvdBvArBbDf7/OQrUqlYvoedSOElWXqTtynuUSa\n05NKpfB6vdBqtXw2UnV+MBjw/JhGo+E9z2QywW63w2az8X25C+fkrwWhHw91L4bDIdPNCdT1U6vV\n7PMkFEe4L4n5fYX47Yj4JNBGRwcDgA8OON+XjVHEx4EOWZLg9Xq9vzkIL8SyrhsaUux0OqhWqygW\ni+/8DFW39Xo9gsEgtre38fDhQx5SB5b3+u8bxuMxstksfv75Z5YDFq5jGiwlPf14PI7t7W1sb2/D\n5XJxQHRfQIlFLBbjv5vP5+90LK53IL6F9Sw0XdVqtfD5fN/Envd7QFRBokOFQqHfvDf3+X7cV4iJ\nhYiPBj3o1x94cQMQcRO+tXUilUphNBrh8/nw9OlTqNVqPHr06J2fo2BUpVLB7/cjGAwyNeK+VG/v\nC+RyOex2O+LxOBqNBoBfJSU1Gg3zvp1OJ+vnB4NBVoq6bwP3N50B8/kcSqWSFRWXmb7zObjpe75P\n3/3n4ls7D75FiImFCBEiRHxBSKVSdno1m82Ix+PvOMUCV40Fqc2v0WjEIcQFhFwuh9PpRCKRYOqP\nSqVio0eiP9nt9iueNhqN5psauhd6LHwr1yxChIirkHxMi24BsdQfXoQIESIWEPcpIvwiZ0Sn08Gr\nV6/w+vVr9Pt9ALhimEpu8iaTibsYIkSIEHEP8Zvng9ixECFChAgRIj4ApVKJcDgMjUaDyWQC4Fcf\nJHpptVpxsFSECBHfPMSOhQgRIkSIEELsWIgQIUKEiJvwm+fDtzdZJUKECBEiRIgQIUKEiC8OMbEQ\nIUKECBEiRIgQIULEZ0NMLESIECFChAgRIkSIEPHZEBMLESJEiBAhQoQIESJEfDbExEKECBEiRIgQ\nIUKECBGfDTGxECFChAgRIkSIECFCxGdDTCxEiBAhQoQIESJEiBDx2RCdfESIECFChAgRC4nxeIxG\no4FGo4FWq4V2uw2ZTIZAIIBgMAipVKyPihCxSBATCxEiRIgQIULEQmI8HiOfz+Pk5ASpVAqZTAYq\nlQr/9E//BL/fLyYWIkQsGMTEQoQIEV8N8/mc/5zNZvwi9Pt99Ho9jEYjTKdTzGYzKBQKKBQKqFQq\naDQaaDQaSCQSfi065vM5X8t4PMZwOMR0OoVCoYBSqcRkMsF4PMZ0OuX3TCYTTCYTTKdTfq9SqYRS\nqeT7IZfLIZfLIZPJIJVKIZFIxKBKxL3FdDrFZDJBu91GKpXCL7/8glQqhXw+D7PZjCdPnvD+IkKE\niMWBmFiIECHiq4IC5cFggH6/j9FoxP/t/Pwcx8fHyOfznGTYbDbY7Xb4/X5Eo1GEw2HI5XIoFIql\nSSwGgwF6vR4qlQoKhQLa7TYcDgfsdjva7TYqlQra7Ta/p91uM82j1+thMBjA6XTC6XTCbrfDarXC\narVCr9dDr9dDrVZDoVCIiYWIe4vhcIhms4lsNovDw0P89NNPkEgkcLlciEajcDgcS7EfiBDxrUFM\nLESIEPFVMZvNMJlM0Ov10Gw20e12+b+9efMG//Vf/4W9vT3mUUciEUSjUTx+/BhyuRxutxtqtRpy\n+XJsV/P5HP1+H41GA6lUCgcHByiXy4jFYojFYiiVSjg7O0OpVOL3FItF5PN5lMtl1Go1NJtNJBIJ\nxONxxGIxhEIhBINBOBwOrtJKpVIoFIq7ukwRIr4qBoMBarUaLi8vcXR0hJ9++gmRSASJRALr6+uw\n2+1iYiFCxAJiOU7qOwAFQr1eD4VCAblcDo1GgykLBLlcDqVSCZVKBbVaDbVaDZlMBuBtpZYqkZPJ\nBPP5/MbWrVarhcvlgsvlgsVigcVigVqtvrVrFfF5IOoLte7H4zFTYEajEbrdLtrtNtrtNjqdDtrt\n9hU6EEGv18NgMMBiscDlcsHhcDANZtkq0/1+n6+32+2i1+shn88jk8mgWq3yz52enuLi4gL1eh3d\nbhfD4RC1Wg1yuRxGoxE+nw9utxsOhwMOh4OfrUWB8LtvNBooFAooFouoVquoVCrIZrNIp9Oo1+vI\n5XI4Pj5Gq9VCsVhEq9Xif6fVavFwKt2HUqkEmUyGdruNy8tLHB4ecufC4XDA7XbD6XTy3y1L4nUf\nQTS20WiEwWCAwWDAZ0W9XkehUEClUvnqn8PtdiMQCMDhcECv10On0y1V8D2fz/m+FQoF7OzsYGdn\nB6VSCRqNhrsVkUgEVqt1qa5NhIhvBeJJ9B5Mp1O0Wi2USiW8evUKL168QDKZ5EODEgS1Wg2j0QiT\nyQSz2Qyz2QylUon5fI7xeIzLy0tks1n0+32mhFyHw+HA48eP8ejRI8RiMU5QRCwPJpMJhsMhU2B6\nvR5TW4rFInK5HLLZLHK5HHK5HCeaAPhw9Hg88Hq9WFlZwaNHj6DRaKDVaplTv0zo9/soFosoFAqo\n1+uo1Wo4PT3FwcEBLi8v+eco4er1ephMJpBIJGi32xiPx9DpdPD7/fB6vZDJZDCbzVCpVHd4VTeD\nvvtCoYBXr15hZ2cH5XIZ5XIZ1WqVkya1Wg2VSsVJ53g85n9jPB5jNBpxgAoAjUYDg8EAuVyOCxcG\ngwEGgwGhUAjxeBzxeByrq6swmUxiYnGHmE6nGA6H6HQ6qNfr/N31+32cnZ3h559/xsHBwTvvm8/n\nHxUc/9bPb29v4/vvv8fW1hZcLhd0Ot0nXc9dgc7Nfr+PXC6HX375BS9evEC324XBYIDX6+XEQqvV\niomFCBELCPEkeg/G4zGKxSKOjo6ws7ODn3/+GScnJ5xYEFQqFUwmE4xGIywWC8xmM9MTRqMRstks\nLi8vMRgM3ptYOJ1OyGQyqNVq6PV6+P3+W7vOLw1hR4YqucIhVZlMxi/Csh4OFFAOh0NUq1WmsFBX\ngrpVxWLxSlKRy+WuBJXA23tAiUWz2eQhZ/o7vV7Pg7uLCpotoGD4+PgYyWQStVoNtVoNyWSS5ylu\ngkQigUqlglarhU6n46RqMpnc+NwsCmhm4vT0FDs7O3j58iUnU91uF4PB4MpcyU243smUSCTv7DUS\niQQajQZqtRqtVgvj8RgSiQQWiwWxWOyrXJuI92MymXDyQM87dSdKpRL6/T4GgwHOzs7w008/vZNY\nCL/z37MH/p6f1+l0iMViCIfDsFgsH5243BXoXg4GA07KDw4OcHFxgWq1CqvVikAggHg8Dp/PB4vF\nsnTFFhG/D8KuFT1fNJs3HA4hkUhYyIKKNR9aC1KplEUwhOIXiwRis8xmM7TbbdRqNbRaLcxmM8zn\ncxb+UKlU0Ol0NxYM6L4sAsNBTCzeg8FggFQqhR9//JE50tTeFmI6naLb7TJ1qlqt8pdKVKjRaMQL\n5CaMx2NUKhWcn58jFAr9ZhCy6KCHZDgc8iAqQa1WQ6fTQaVSLY3Kz/swHA5RqVRQKpVwdHSEo6Mj\nlEoltNttdLtd3giFVCiiQUkkknc6Fu12G9lsFqPRCM1mE8lkEs+fP8fz58/h9Xqh1Wqh0Wju8pI/\niNlshnq9zgn569evcXBwwAlWvV6/Qv8RQiqVQqVSQalUIhQKIRwOIxaLIR6Pw+VywWAwLGRSNZ/P\nUSqVsL+/jzdv3uDo6AipVIoPw/F4/M6e8Tm/azQaYT6fM/fcYDBgdXV1oROv+4rRaIR8Po9cLodS\nqYRyuYxCocBFBCEVqlKp3LjXUeD/e/fB3/Pzy7ivDgYDlEolFAoFHB4e4vDwENlsFtVqFWazGRsb\nG9ja2kIikYDdbl/IvUDElwMl66VSiVkflUqF4yudTgej0cgU8g+tB41GA7PZDJPJBJ1OB71ef+eB\n902YTqcYj8e4uLjA3/72N+zv7/P5YTQaYbVa4XK5EA6HEYlErjzjpBBoMBhgNBrv/PrExOIaKNgb\njUbIZDL46aefmBcuDJBJ7pEC6OFwiFardSV5EB4CUqn0vV/2fD5Hq9XC5eUl6vX6O9XsZYBQVpS6\nFL1eD7Va7Yr6jdFohEQiubFzsWwYjUacEL58+RJ/+ctfkE6n0el00Ov1fvP91w//TqeDTqeDSqWC\ni4sLGI1GAGBKA3W13vf+28Z1KVlKkJPJJHZ3d/Hy5Uu8efOGK7ez2YyfGwI9H0qlkisx0WgU29vb\niMVicLvdC51YAEC5XMbh4SF2d3dxcnKCTCZzYwfi+v//lACQkgvqhJlMJq5sibhdEP3t4OAA6XQa\n6XQamUwG6XT6Ct2PINz/hUWFm9bCTWvjpvdch0KhgEwmW8jk4vrZKHy12232qvjxxx/xt7/9DcPh\nECaTCX6/HxsbG/h//+//weFwQKvV3nng9Km4vi+8b+6Svrvf+h6vv194T2/C9X93EdaJ8LNSp77d\nbqNcLiOZTGJnZwd7e3tIpVJIpVKQyWQ8h7iysoLV1dUPilgYjUZ4PB54PB5Mp1PudHwoJrstCM9Q\nogAmk0n88MMP+M///E+OLZ1OJwKBAFZXV/H06VN+zgkUU02nUyiVyit//6G19LW+ezGxuAFCHfrp\ndMoPqkwmg0qlgkqlgtFohNFohEaj4TbbaDTi7gTwK3WB6AskESn8PcDbKr7dbofdbsfGxgYMBsOd\nXPfnQDikTNQXGnqnocX5fA63241gMIhAIACv18v8+WUHcazJj+E6BeF6d+JDfzebzfh+Hh4eQq1W\no1wuc8WOBrrv+kAQ0sAuLy+RyWR4luTi4gKFQgHD4fDKPMl10LCp0+mEyWSCyWTCysoKJxVUgdFo\nNAu7TqxWK1ZWVpgGI5fLee+4CXq9nitoNJ91UwfrQzAajXA4HAgGg4hEIuJ8xR2AuhHpdBoXFxfI\nZDIsLSyEsJBync4oLD4RvUOj0cBoNMJgMFzxdBHO3r1vjSQSCaytrcHhcCzc4DYFjf1+H/V6nTs5\nlUqF57FI1ICETKg6u76+DpPJ9Ju0l2XBfD7neZzr6wUAlEolizJ86Dukjjh1yKnbTQW961Qa4dqi\nf38R5jmFxdXLy0umDGezWT5XarUa+v0+f/+TyQSj0QjlcvmDZ4NWq2VRHBJICYVCWF9fRygUuq1L\nfC/ovD89PcXp6SlevHiBXC7HsQTwtoNDKoLD4RCZTOad50Amk3EcaTAYoFarodFo+Jyh712j0bxT\n4PvSEE+ja7hu5PX/sffdz21dWdKNnHPOAMFMikpje8rlqZ2t3f2jt2qqxrM1Y49tJVLMJEDknHPm\n94O+c/wAUdGi+Cixq1C2RBLie3j33hO6+wgHeslkMl6YPp8PPp+PveU1Gg263S46nQ5THyiztlgs\nHDRptdrX/k2FQsGiTJvNdmsTCwqs4vE4Li4uEIvFEIvFkMvlOGhaWlritrZEIoHb7RZtwPghIL2F\ncDOgoOGqLtbb/o42mul0iuPjY1QqFTSbTeh0Ovh8Pmi1WlEEklQ5TyaT+Pe//40nT56g2WyybWyz\n2cRwOHwrDdDtduPx48dYW1uDzWaD1WqF0+lkVxsKtsRQXboKEokEVqsV0WgU1WoVJycnkMvlrAu5\n6rr1ej28Xi8CgQACgcBHTQ82mUyw2+1wOBzweDx3trM3gPF4zIlFMplk969F6hvZAlOCQDRQISQS\nCScOFosFPp8PXq+XDRxIw0dJ6JtgsVhgt9thMplEETAKQdz5TqeDTCaDeDzOFNJcLodWq4V+v8/r\nYnNzE/fv38f6+jqfj7QX3GYIufTpdPpKzZlerwfw6vN8G0ajEWq1GsrlMne80+k0YrEY8vk8swdI\nt2az2bigF41GodVqb/w5ofvRarVwdHSEX375hTuA1WqVGQDktgi8os61Wi2Uy+V3FtkUCgXTiEmn\n8N1330Gn0914YkHXTlqsf/zjH9jf32dKNJ0fdP3NZhPpdPpK5oJEIoHNZoPNZmO9r9Vqhd/vZxMU\nAHNak+vCzUcnIsNoNGIKDwlxaXKuWq2Gz+dDOBxGMBhEMBiE3W7nxUluQMLEghIKo9HICcgiiOKi\nVqt52u5tAIl1yQEoHo9zUnFxccGUAKFfP1XziRZDVbz3AS0GqvjS5ntTkMvlMBgMfJBrNBooFIrX\nAguqNspkstdcxa6CsJU9GAxYs0Fi3euuQtLnQ1NvhWL04XDI30d/n0gk8OzZMxwcHLC2gJIsoc2y\nRqPhihFV7Hd2dvDw4UMsLS3xWqEhcLdlHej1eu680L5AFdmraI10b2m6ttls5mrS+7pe6XQ6mEwm\nGAwGpsnd4fNiNpuxExS9er0eU1+1Wi0HdBQY01lAe56ws0n7hNFoZAogdbtpz3tX0YkSF6VSeaPP\nBO1fwj2k2Wyi2WyiWCwimUwikUhwhbrb7UIul8NmsyEcDmNzcxPr6+tYWVnhxPu6q6zXAbIf73Q6\n3Mkn7U25XEYqlUKhUHjt5/R6Pet13vY5EmWoWq1y5yKXyyGVSqFYLDLzQqPRQKfTwel0YjgcQiqV\nwm63fzL914dCSNmiDsv5+Tn29vbw4sUL7l5RoXax+0vWzkQ5po6MXC7nM5I66tSxofiBZiNd1Sn6\n3CAKfalUQjweZ8OCRXorJYiUUAGvUyIlEgkajQaKxSLvNWazmZ8j0qM4HA7ulNP+QnvGpzpz7xKL\nBVDLiRY8ObtMJhNYLBasrKzg+++/h9/vh8/ng8lk4oeWhDZCKpRwo6fvWwQF2PS6TZsnHRRnZ2fY\n29vD/v4+yuUySqUSJ2ZCtFotpFIp3mxzuRxvnO/imhKtLBwOY2Nj48YTC5VKBYfDAaVSCa/XC7vd\njmq1yrQo+t21Wi2cTic0Gg1KpRJKpdJc8iC8xkUetU6n4xkORqMRKpWKN8/rAtF4ut0ukskk4vE4\nEokEOzwRKHmgylGlUuFDkw404QFiMBgQCASY2rCxscGzGIjmQJvbbQqUqbXs8/mwtraGWq2Gs7Mz\ndDqdKxMLmo0jlUqZ0mSxWOB2u2G1Wt/r35TL5XP7ym3aM74GkFuXx+PhJMHlcsHr9cLj8Vx5gFPQ\nQ3oj6kzKZDKutL7r4BfTOUKFp0wmg4uLCyQSCSSTSaa11Go13ue8Xi9XVok3T+vhNiYUBKIqJZNJ\nPHv2DHt7exzwttvtK89I4FWgTFXnt3VoiDLb6/WYCkUFn16vx3sw7avj8RhGoxF2u52dKm8KxAbJ\nZrM4PDzE/v4+Xrx4gbOzM76m8Xj81iIcgTp9Op2O46lqtYpqtcp0XDJNkUqlN37thF6vh2w2i/Pz\nc8RiMWQymdf0vG8CXafw+aCuRq/XQ71eh1qtRjqdZtG6Xq/n5D0cDjM7wGazwWQy3SUW14V+v49y\nuYxsNotyuYxms4l+v89BXiQSwZ///Gc+LG6bT/inAG0IVHUhm82nT59id3f3NUqYEFR5b7VaqNVq\nSCaTV4oagXkesVQq5Wp3r9eDy+W68TamQqFgepvdbofRaOQJ0UJetcViQTAYhNlshkwmYzHzov0w\ndQoIlJhStZM6ItcddJMQW9iN2Nvbw97eHnK53Nzvu5gIvQ0ajQZOpxPLy8v49ttv8cMPP3CFXni/\nblMQISweuN1urKys8IFI2iKhMxRN5aaEw2azwW63c7BJdtVEbVoU9N7hdoASi6WlJUSjUe5khUIh\nhEKhG6efXDeIGlqv13FxcYEXL17g5OQEp6enKBaLXHxwu91wu91MkV1fX+d7dRVt+DaA3H3G4zEa\njQbq9TpOT0/x008/4ccff+Sv0f5PhRz6f9pTF0X4V61/4c/Sfiw0jKHElDrHFGTfFOjaqPpO7pvP\nnz/HixcvcH5+jlQq9drPvcn8ggJri8UCv98Pi8XC16zRaCCRSK7sTNykJavw3CTq2sHBAS4uLlAo\nFOY6EpQ8LJoAyWQy7tII4wGahzSdTtHpdOYsa+k9TSYTNjc3sbm5Oad3dblc3EWnOONjKch3icUC\nBoMB6vU6SqUSOp0OLi8v2RuYNBBut5s7FV8jSE9Rq9Xw/PlzPHnyBCcnJ0in0+h0OnMC9kVQ0ErW\nvMLKPuEq73VhAGez2UTRxqTkatFrezqdQiqVwmQywWKxYHNzE48fP4bH48Hh4SHsdjsqlQoajQZ3\nw0iIRrQ76l50u132dW+1WlzJuM7kYjwe878bj8exu7uLVCqFbrf7xuD2fRIL6lJVKhWkUikcHR1x\nhUSj0bDw7LZCr9cjEolAoVBAo9HAYrEgFovxgSEMAohrnkgkMBgM0O12UavVsLy8jGAwCL/fzx3O\n21yx/VohlUrhdDqxtbXFlslOpxMWi+VWdeM+FlQ0isVi2N/fx/7+PgaDAcxmM98H0oM4HA44nU7u\nXlJweFtBHYpEIsE2xBcXFzg/P0e32+VBujQZXS6XcwJCM2+GwyGfKW+DsCNMhRmVSsW0U+p2k77A\nbrdjeXkZy8vL8Pv9nz15o+IZ7X2UVBwcHCCRSKDZbL7zPaizp1ar+V6urKxgfX0dHo+HA2+yL77K\noXFzc5M1BzcBSgBKpRJOT0/x4sULZDIZHjUgkUigUChYYE/dShJjU0FTaAgknP9BxgBUGB8MBtzJ\nms1mTE/P5XI4OjqC2WyGxWKB1WpFJBJBJBKB3W7nzumH4vau3mvCcDhkMVS328VsNmMNBCUWJJa8\n7SKyj8VwOES5XOZq9o8//ohEIsGVmLeJdelrRBdqNBrv/e9Sxh4MBkWRWAgt4qj6IkwszGYzAoEA\ntre38cMPP2BpaYkdG8hFplwuc2ucqDNCHUq32wUATiyGw+G1H7rCBODi4gK7u7tzA9muwvskFrTh\nUWIh3BQp4PoSEgu32800GIvFwkO/hOJ8OlwvLi6QyWRQqVSQy+VQKBTw3XffsVvLuyqWdxAnJBIJ\nXC4Xtra2sLGxwTqaD9GU3WbUajUcHBzg6dOnOD4+xsnJCVwuFyKRCJaWlnhiPAUzRPuiSultTr56\nvR5OT0/xr3/9C7lcDvl8HqVSiYXIXq8X4XAYPp8PTqcTOp2OxcrNZhPdbpfppe12+61uccKvCeMU\nk8kEp9OJtbU1rK6uciBqtVrZeIYq3p8TQu1eLBbDL7/8goODAxweHqJQKLxXN4UG3hkMBvh8PgQC\nATx69AjffPMNwuHwa1Soq5Izu91+44lFr9dDuVzG6ekpnj9//pqGUaFQwG63IxKJwGg0srsVUQZJ\nXyf8DKkTWC6XkUwmkc1m2UyFXDqpcE6zdSSSV3bver0eRqMRf/nLX+YS1bvE4hODFi1x5D0eD/PQ\n3mfje5OntFj8oz8UJL7LZrN8WBwdHV1psfgmCNuz1GYjYZIwIaFDhu6RVCpl+zSxWOQB4JakVqtl\n4fFgMMBwOGShFdkpms1m6HQ6bGxswOFwIBKJoNlscseD7m+tVkOlUmEOMgkAF1ve1wVK/Chp6na7\nvOFdZZdLeNvBB4ATSbJjbTQavI6sVitarRaLX4Wg7g853Yh1Ajk5WCkUCvh8vjndlU6nQ7FYRKlU\nYj40HQI0D0FIhet2u3OcWLfbfauTrtsOWnPkXlOr1bgbRRap4/EYGo2GP69oNMraKxJJfskQevLT\nsE/S01EldGdnB6urq2x0QLNrbotRw9tAmgkS4e7v7/M+To5Xl5eXcDgc2NjY4EITxReBQADdbpeH\nwxWLRRSLRdYG0J5MHY3hcMhMCp1Ox+ej0WiE2WyG3W6fo5WRCYDFYoHBYPhs8Ydw7dTrde7gkCYz\nmUyiXq/PnTH0XBD9Wa1W8/moUCi4G7O+vo719XWsra0hFArB6XRyh1etVsNkMl05cJhMFW4KrVYL\nuVwOyWQShUKBjT5msxl3vG02G9bX1/Ho0SPWIBoMBtZF0GcqLFRQ0cpisbAJBBlLVKtVpveTHkco\ncCfzCHJfAz6+mHWXWCyArAGFDgPCzPhddn+LWORNUmXhtiUVAFiUenR0hL29Pbx8+ZIpY+8LamGq\nVCrmklMQLnQQIkcVesCFHs2Uwd806Fmh9qTT6UShUEC32+VNcDQasSvMcDiEw+FgcSIlDNTtqNVq\nqFarTD/q9Xq8Sd7G52URdI39fp+vk67LarWiUqmgXC6/dq1yuZxnW1itVlHPtAB+T4SoAGE0GhEI\nBLC7u4vd3V22DxZW5zqdDqbTKXv8n56ecpt/bW0N33zzzV1iccOgAggNxSOKTzKZZPdAMvjY3t7G\n2toanE6naOyhPwforOv1ekwDMpvN8Hg8uH//Ph4/foylpSVOmj+HZuxzoV6vM/Xr8PAQp6en6PV6\nc51suVwOl8uFnZ0dLC8vs3YuGAyy9oqGywoTCwBzwmxyndPr9cyRJ2dJct0jJ0qhbTeZPnxu0Nop\nlUrY39/Hy5cv8fLlSxwdHTFdRwiTycSC/mAwCJvNhlgshvPzc9Yt+nw+PHz4EA8fPoTD4YDZbOYE\nlZITpVJ5JS2bTBJuClSYiMfjTAmntaNSqWA2m+H3+3Hv3j38x3/8B3c7Kd7QaDRzBVoCxU80ay0Q\nCDCTREivIwdTcnscjUYcm4bDYVgsFqhUqo9em1/HbvcBoAqiMNDV6XRwu93weDzQarWsIRA6QBG/\nTehiQH9H1BbgVdBBWgEKrIUPiNgCSOFcj1KphOPjYzx79gz7+/s4ODjgDYM2LHItetP0V7K902g0\nzBukB53u6+XlJdtv0uInizi3243l5WWYzeabuB1zEAqbrFYrAoEAt7sbjQbb4SUSCajVakwmE+zs\n7MDlcsFqtbLYm+4h6VacTic7qhCE06ev+zmhYV3ktOF2u5mGRRX4jxEAUpWe6F1CmEwm9Pt9NBqN\n154bhULBBgrdbhcGg4Gtm8mRSUyQSqVccaNDwgTjNAAAIABJREFUwul0QiaTYTQasTOOsBtFe067\n3UalUkEsFmNXmF6vB4fDAb/fz2uMrlls+8WXitlshl6vx/x5ssWMxWIolUrsMKNWq+F2u7G2tgaf\nz8dr/GsAiYOpcEDOgIFAAFtbW9je3sbm5ib8fv9N/6qfDMIzvlgs4vj4GHt7ezg7O0M2m2X6LvHj\nzWYzlpaWsLKygkgkwkW2RQyHQx4eKLQepzlBVIQxGo1YXl5GKBTi85Sq/FdZ298ELi8vMRqNMBgM\nkM/ncXh4iGfPniEejyOTyVzpzkTdBjJp8Xq9PO9BqVTC6XQiGAxidXUVq6urc2tM2LEQ09oTdm4q\nlQo7QVWr1bnzVKfTwev1YnV1FRsbG9je3v7g2WZEm7oKREkWFkD7/T7HXlTQIov8j8FdYrGAVquF\nRCKBk5MTlMtlzGYzDrDMZjM/FNT2HAwGLMqkijO13q5KLIQTNakCTxQZMTpM0aRUsg08ODjA0dER\nH6b0MBoMBhad0rRkqthKpVK+fmFiQRaKVyUWwvcAXm0W5I5EAj+xQCKRwOl0YnNzc05DUqvVUK/X\n0Wq1cHFxgX6/j1qthkQiwQIpj8fDntJUcaH5GJubm3zfKFihKt91BpR0OHk8HvzpT3+CUqlEOp1G\nNptFsVjk6/qUoEOHxPzC65PL5eh2uygUClyZos7P8vKyqA6PRSiVShiNRlxeXuLRo0ewWq04Pj5m\nFxC6l0KqGw1GomDWYDDA7XZDrVbz8DByPLnD58F4PEY2m2WHo/39fcRiMbZfJrOFr/kzoeA6m83i\n7OwMxWIRo9EIDocDOzs7CIfDojzj/ggmkwlarRaazSbOz8+xu7uLly9folgszs3u8Xq9PBX94cOH\nsNvtb6VU07wm4dk5mUxgtVrZ7KHb7UKtVsNms7HjIFXixdQho2GA1WoVqVQK5+fnbF3+JpMX6tzm\ncjlIpVK0Wi10u11YrVbWGdCwWDI1IZo1FV/EBipGj0YjFAoFHB8fIxaLsc6UEiKn04kHDx7gu+++\nYzOQTwkywiGBuF6v54I4PbOUlH3svy2ep08kIIvN4+NjdLtdTKdT5vULEwsSwrRaLR7WkkgkcHFx\ngW63yx8SVaPp0NFoNBwckBXh5eUlVznFBrKFazabyGQyODw8xNHREbd2adMzGAxYXl7Gw4cP4XK5\n4Ha72fFCuMmp1WqegkkVlsFgMJdYzGYzHkEvbFfSwlts/900JBIJHA4H/3608V9eXqLVaqHVavHM\njkQiAZvNhp2dHXQ6HeZUOp1OqFQqrtKsr6/PVXKIdvU5aHS02VClLRKJYH9/H7u7uzxV+lMnFqQz\nKBaLr2mQpFIp8vk8Tk9PebJoIBCATCZDMBgUfWKhUCh46u3m5iabP9C6p2eFnn2aD0JdGplMxt0q\n4mjTNX/NgeznxGg0QjabZVvMly9fIp1Oz80sInytnwlRXY6OjnB+fo5SqYTRaAS73Y6dnR3Y7XZR\nr9WPwXQ6RavVQj6fx9nZGV68eIG9vT1mM6jValitVqyuruK///u/8de//pU7rm8zgKE1L5zVJNRs\nCq1lhZ1zMRo9TKdT1owkk0lOLN5m8kJFOOB3p05yLqLYiRyg2u02sySomyvGxILMXgaDAQqFAk5O\nThCLxeacoGQyGRwOBx48eIAffviB7cc/JUivqlKpoNfr3zg/7I9QsO8SiwVQVimc9lgul7G/v49W\nq8VBcaPRYL44/QwNPyMKizBYIKhUKuaal8tlpNNpRCIRrK+vz33gYqk4LA5vE2pGhA8kDXpRqVRs\n80Y8T9If0CRZSigo6SDR2eKUZuIRih2UMFosFoTDYUwmExgMBlxcXMDv9yObzbI/NXHrz87OcHl5\niVqthmw2i1wux1Svmx78R5UfSqhVKhVmsxm0Wi2CwSDb3yaTSaRSKbRaLX5OiNoj1BIRzYfelwTO\nwkF/wiSc6Fa0/qhiRe89mUyg0WjYtU3MEG7QVCEKBoN49OgRzGYzcrkci/gSiQQPWKSXRCJBs9nE\nxcUFP2fEvzWZTKIsRtx2CCkL0+kUk8kEzWYT+Xwe8Xgc+Xwe7Xab6QtUAVQqlXA4HHC73fD7/TCb\nzbdi//qjoHs1Go3YZrZcLnNRTiqVYjKZoFKpsDkDmTEIqcC3CfSMDIdD5HI5vHz5kqvw1HGUSCSw\n2+1YW1vD5uYmQqEQbDbbnI30m/Al6OpIaN5sNnF2dobd3V0cHh7yINW3gQYIEmOi0WgwY6FYLCKV\nSs3RoalTo9fr2dqZilBarZYTsJvEaDRiI5discjaBhpg6PV6WTdCOgdyBvyU+BzJ55e/630CFAoF\n9Pt9HB4esgXXaDSaG3xFlUYafCYMuoX/L5PJ5hwBjEYjotEoptMp06LEZklI9m0UFMpkstd4ke12\nG+fn5+x+RHQVt9uNQCAAnU4Ho9HIkzHpRcEWVWOFw4FueiP4EJA7g1wuh9FoRDgcRjweZ/eLJ0+e\noNFosHaHDiHqckUiETx69IidMG4SwqRAKpVCo9FAq9XC6/UyLW44HOLHH3/Ejz/+iFQqxZtUr9fj\nSrtSqeSkYDgczond6T3p52i+CfE/aYYMfU04VI7Ee+SycltAz7vH44FOp0M0GmX65E8//cSaHOFU\nWHLYubi4QKvVgtFohNVq5c/oLrG4HlCxiPb0er2OfD6PRCKBYrH42mRc8tSn/S4UCsFqtX4Vs46o\nKECJRSqVQrVahUQiYavKbreLdruNXC6H2WyGcDiMUCjEPvm3MbEgzn8mk8GLFy8Qj8fRarXmhtQR\nRXZrawsej4cTrdueNLwPaC8nbeY///lPXFxcvFe3mxgRlFQIi1HkXiRkMxCtWjiHYWNjAwqF4g+J\nkD8lhsMhSqUS0wSpKE3MgKWlJXz77be4f/8+x0y31ehHPNGriEF0FiFo46CAm9qa5Cgl3Dyo2g+A\nKzuNRgOtVgsymQy9Xo+5g5FIhJMXMQTXJOSlRRsMBvl3J24jWZYJZ4DodDrY7XZUq1W02222Y3U6\nnezJTIGrmJKojwHdI+EgRafTyVahCoUC0+kUarWaXRmo0lWtVtmSVqlUwmKxQCKRsJvHTV3P4mej\n0+ngcDjmvq/X66HVasFmswF4ddiSWwlR++RyOYrFIgqFAuRyOXtl04Aser7JNIEoUVQVForFJ5MJ\ni/2F5gq3AcIKJNH8XC4Xi+h6vR4qlQpmsxnb0lJ3kKwB+/0+Tk9PYTKZuGtIwZtWq73xveJLgVCE\nXKvVUCqVkEgkEIvFkMvl2JhBCOHnS0Mz2+02J9jC55T+bjE4uq2g66XZC9lsFtVqFYPBAAqFAsVi\nEQcHB6jVakin03P6M7PZDJPJBIPBMOcE+K6K/k2DEs9er4dCoYDT01Pkcjkexkb7p8FggMvlgt1u\nh1wuv3JYmxBUxBO+bmNgCYDvT6PRQC6Xw/n5OQqFwmtJ+SIkEgnvfW+bnQT83jlSKpV8flKxZjqd\nQqFQYDweM3viJqliNA2bNLpUKCPqltfrxc7ODtbW1rh4RLHCoh0/8Lslv/AlFirc7Y7oPgPeFLgI\n6SIkNCbBCz3kwmoVVTiGwyGq1SrTqAaDASqVCl68eIF2u43vv/+e6VBiECHRQy+VSrGysoLBYACv\n14tkMolkMsltPdowyQFCKD6lQ+Ts7AxbW1vY2dlBJBLhg+RLAiWbNOVUpVJBp9MhFAohk8nwICR6\nEfe01+vxvajX61hfX8fKysoNX83bEYlE8F//9V88LXU2myGTySCbzUImk8Fms0GpVOL8/BxnZ2dQ\nKpWw2WxwOBzc9qVKEh1C/X6frQgzmQyazebcjJQvgSJAoG6QTCbDysoKxuMxLBYLnj9/jm63yz7j\nRPeaTCZIpVKscanX62g0GgiHwwiHw19EkCoG0MT7SqWCk5MT7O7usq1srVab6ygRqKuRTqexv7/P\n9tg2m+1KXYHdbofP54PVav1cl3VtGI/HaDabrJEqFotMd+n1evjtt984oGw2m7i8vMTR0REsFgsc\nDgfsdjv8fj+WlpYQCoWY8iLmxIK0h+Tils/nmQYF/D4dmsTX/X4f5XL5nYkFVePJ5OQ2dyQpMaA5\nTYPBgGc1vAlCJoNwr3/TjCSiK1IBptlsIplMstV7q9XC5uYmNjc3WTcopvOD4gWVSsXaQYfDAblc\njna7jVKpxN0NclWkmJQKVFSko0KdGNbNXWLxkSBPYarkUiWehtXQ8BICLYBOp4NkMgmpVMqc00ql\nglarhcPDQ6hUKkSjUbanFEtioVKpsLy8DKvVinA4jN3dXeb/NRqN1xKL0WiEbreLcrkMqVSKs7Mz\naLVa/Od//icPf6HASkwL/Y+CFjWJsBwOB5aWlgC8GjD49OlTPHv2DDKZDOVymZMKGpDW6XQwGAxg\nMplEn1gsLS3xtQGvAt/T01OcnZ1BLpfD6/VCo9Hg+fPn7DTh8Xjg9/uxsrKC5eVlTr5HoxHa7TY6\nnQ7rJ+ggEtrTvumAEeK2PE9UkVSr1VhdXYXD4YDFYkGn00EsFuNJ7HQQj8djTujL5TI6nQ5GoxGU\nSiX8fv9rtJvbch/EBlqHpVIJh4eH+Nvf/oZffvnlrT9DznYA2OmOLMqvsv1cWlrioIBwmz4v4Zqj\nDjwlFZRYEEqlEp48eXLl+3g8Hni9XmxubqLf7/O9Es7+EON9ESYW1WoV+XyeWQ0U3JGGjBILSi7e\nBqIMm0wmSKXSucKbGO/D20DBvnBg7NsSC+ryCNkabwuSyXWT/i3SdLRaLdb+lUoldLtdmM1mRKNR\nABAFLYogZISQMN1utzMFLJ1O4/T0FM1mE71ej4fZXV5esibT7/dzd4yeuZt+Vu4SiwUI6Uyj0Ygr\nrzT5lrJEakORXzD5/i4OfyNQdt3v9xEOh5HL5XjIUj6f54Ccql42mw1er1dUFQsauuLz+XB5eQmb\nzYa1tTU8evSIk6Nms8nzGIgvTqLbfr+PdDqNp0+fAgC2trZ4A/0aoFQq4fP5+FBqNBqYTCZot9to\ntVocXLfbbZ5CepsgkUhYwC6TyVicuby8zGuCgimz2Tz3uZNxAfBqZkc4HGaLQeFhTLQL6oD99NNP\n8Hg8MJvNTKfQ6XQ3vrF+KJRKJQwGAwKBAL799lvI5XKcnp7i9PQU1Wp1Ts8FvEpSY7EY/3k2m8Hn\n88HlcnHL/2u3P70JDIdDfl4rlQpSqdSVnSQqKDQaDTidTi4k3SaQsL1UKuHg4ADPnj1DKpXCdDpl\nK1WlUsm6MQp4xuMx66gmkwmq1SrOz88hkUhQq9Wwvb2N7e1tdpG66eLaVRAGhFqtFgaDgXWXVEQk\np8h//etfODo6eq/3VavV0Ol0MJvN8Pl88Hq98Hg88Hg8HzzL4KZB9Gm/34/19XXk83mkUimUy2UM\nh0MWV9M5IJzBQd0aocHHIsbjMbM/yDhHOFWapr9bLBYEg0HujhGTQAyg5KjX6+H4+Bj/+7//C4PB\ngF6vh2aziWw2i2w2y66ZQoObi4sLmEwmuN1u1pUIJ9rfJO4SiwUIEwsSFbtcLty/fx/r6+vw+/3w\n+/2cURPVhSgNi8JkISh5oME3SqVyrm1MGoV0Og2Hw8H+9WIBiaCo47C6usrJRLFYZKpPPB5HLBbj\nOSCUWEynU2QyGSgUCkwmExiNRmxsbNx6jcX7ghILq9XKk1VbrRay2Sw7RAgnYd42SKVSWCwW3tSI\n86lWq+H3+1moL9QhCX+Wkg+n04lwOIxqtYpcLjf3byxOp5bL5YhEIgiFQvD5fLDb7XOi8NsCcoIL\nBoOQy+Xw+Xz4+9//zpUqYXUOeJVYDIdDNBoNdtLa2dnhybvA7atwfgmgxKLVar3mfCZEuVzmSu72\n9jZsNtutSyzozKJpyv/+979RKBRYC0Vno8vlgsvl4uujvY/sN6vVKrrdLjtKTSYTWCwW1i2KJQgU\nQjgzgRKLXq835yQ2nU5xcXGBcrn83iJ+0t5YLBZEo1FEo1E8ePCAA+7bBEosZDIZ1tfXWWspkUjQ\narWwtLSE1dVVPv+1Wi0n2Tab7Z32xP1+HxcXF7i4uMDx8TEODw+ZFUKdi8FgAI1GA6/XC7vdjpWV\nFRiNRtE8UxQfdbtdHB0dYTweQyqV8oT1RqOBer3O9sVCgxsqbtNMp9XVVXz33XdwOBx3iYXYYDKZ\nsLS0xBOUO50OD7VZW1uD1+uF1+vlxIFszt6X3zwej1nUS7Zp1CItlUqoVqs8ddftdmM2m4lGkEMt\nSqH/MQluPR4PU3+I75dOp5HL5ZgjSBW6VCoFvV6PUqnEDkJiF+t9CtDQI71ez9UTs9mMWq3Glbx+\nv49ut8tTrt+UpIoRlEQsHgbkmPM2LE4xDwaDqFarSKfTsFgsc45rw+GQ290U3MhkMu5W3JSgmyxi\nZ7PZB5sv0PcbjUbu9lQqFdRqNSgUCh5OSO9P6248HvMhotPpEAgE4Ha7+f3u8HGgwJEStXc9v8ID\nnyrzxIsml8BF4aVcLudiQqPR4EFnBoOBefZiBq1FMnFot9vQ6/VYXV1l7aHJZOJzQZhYFAoFFAoF\n1gl1u12e9+NwOGA0GtHv9xGNRrnA97bq9ecGFSD1ej2CwSAePHiAXC6HWq02R92kolqv12MDCqFl\n+yJo3dKg3U6nA4PBAJ/PB4PBwAVPscQEb4NwDwqFQhiNRtDpdEz3pMSJEguNRsO6JBoi/K7Egtbm\ndDpFpVJBtVrlbj8VM4k5QX8Wk+GH0FGtUCgw1anX67HmUOh+eNXvTmyHXq8Hs9kMr9cLAFzwvgnc\nJRYLcLlc+O6779has9/vw+v1IhQK8YwBYUWUOIHvC6r4y2QythdTKBR48eIFBxLHx8cwGAxYWVnB\ndDoVjSDnKtBmTxUmq9XKU0bj8TgODw/ZMSObzXIlgQTdNHVSq9V+VeJTogmo1Wq22hXaW5LYjar7\nYj5APjXoIG00GshkMuySVC6XMR6PWXeRz+fR6XRYKO92u3ljvgnQITYajdhO90NB+4NUKuXZNlar\nFb/99hvrTgaDAVOdxuMxH0herxf3799n3cVdYvFxENJcyL0rEAi89WcWEwsAvL9dZUFOHTcSiP/z\nn//ExsYGtre3EY1GeeaPmEEBEQ2CI/qux+OB0+mE3W6HxWJhkw66L9RpI7egfD6PZDKJeDyObDaL\nk5MT7mBIJBJ2ERSTQxLt3yaTCffu3YNareZCGplZAGDdWKfTQa/XY1MGum+LIMr0eDzmwpvH40E4\nHIZer2crdzHMZXhfyOVyuN1uqFQq+Hw+7OzsYDQavUaJJTOc951hRdV6lUqFYrGIk5MTaLVatNtt\nXF5ecjJKhS273c4WrmICnf1CpyiivtJE7LdhMBjwlHtyIJtMJggGg3eJhVjgcDig1+uxsbHBE3Ap\nK/4UDkYkWNZoNAiHw1zdKpfLePnyJer1OtvPVioVjMdj0QhyFiG0WVWpVDyZnIIfmjBMvPhCocD8\n2kajgWaziVarJQr3q88N8q4WBoBCa1F6kavI1wSDwQCFQoF2u41gMIhMJsP6o+FwiMlkwvarlUqF\nExHSGFAyfp1rRjgskqgPNHF9OBxy9+ZDDzFhV3B5eZnpANVqleeFEI9bIpFgMpnwwML19XXU63Ue\nRvg1JeqfGjRvxWKxwOfzzVWh3wRhYnF5eYlsNsvT1SlQoOel3W6j2WwikUjwz3z//fcYjUa8n7pc\nruu8xD8MuhbqtPl8Pmxvb2NrawuhUAgej+dK16vJZMJFu0QigWQyid3dXbRaLR4UmUgkMJ1O4fP5\n+JxUq9WiCaap2Gc0GpkinclkkEgkeGI0ANYAUJLZarX42hedxYBXQSJV2Mm6PRAIIBqNchBuMBi4\nGCW2mOAqyOVy7lp9StA8I5ofYzKZ5oYLCzU+lFjo9XpRJhbCLsVVELpk0UtoR16pVNBoNOByubjT\nQ/qLm8BdYrGAxbHw0+n02iZh63Q6eDweVCoVWK1WaDQa1mEI3SZMJhOMRuOtCBQo2VCr1Vyp0mq1\n3L6l1h9xUIna8bVDaDtHNAgauncbDo9PCeF9WJxEfxWFoFwuY29vD5PJBHK5nB3aNBrNta2Z4XCI\nZrPJzh3pdBqXl5ewWCzMl6cE6WNBFXO3243l5WVUKhVcXFzM+Zov/k6NRoMrvV+a49rnAs0Gsdls\nWF5ehlqtxvLy8jt/TphYzGYzDpKbzSbbbhJdg9zfRqMRBwrVahXHx8dMF1lbW7vuS/1DUKlUMBgM\nCAaDAF7ZT5MTlsVieWOxiLRWwCuGAM0aqNVq6HQ6qFarqFar3LGMxWKIRCJsmiImUAJPE5+VSuVc\nEkpdCkom6DN/UyU6mUzi+PiYXY0GgwHy+Tx2d3eZnud2u29Vx+K6QLESdbDpPlPVnyjngUAAXq8X\nTqeTk7KbxIcUvOh7qQOu1Wo5NqjVauwsCry6H61WC5lMBj6f753WxtcJca1SEYC4/sKhRte1iPV6\nPdRqNer1Ovud08ZD/tiFQgESieTGxTgfAprOTV7cRHOiA5daf0LO6ddWlb8KVKmkjYPsfL+24JCe\nH+E8FzoMFrnqAFgs22w24XA4sLa2xsHLdSYW5XIZqVQKv/76K3799VcoFArcu3cP9+7d40Djj4DE\n7G63GysrK+h0OhgOh8jn86xNEt4LYWKh0Wi+iBkJNwFKLCixC4VCHKy8L6bTKc9vqdfrzJc/OzvD\n2dkZJBIJi+5pjddqNRwdHbH9sNhBz6dGo4Hb7cZ4PGYNAK3hq0DnK61Pu90OqVSKWq2GZrOJk5MT\nVKtVNJtNpNNpxONxmEwmTmDEBIlEwvdBpVLBbrfPJfzCOQtCbcWbzrtffvmFA0TSBZCBhVQqhcfj\nwb17977KTvYiKLHo9Xo8aJRcKCUSCQwGA9ube71eNhC4ycSCYsn3Pdfp+7VaLex2Ow9SNpvNOD8/\nZ4od8Op+NJtNZDIZhEKh9+qyXhfuEosFUOX4c4BoRBqNhh0wgN+dAsgD+jZNGAZ+F6yRj3ShUEC7\n3cZsNmOxO4mYSah401UEMYA2EaGX99cI2nQX/cyFm/Gijz556ROH+brWDNEjC4UCjo6OsLe3h5cv\nX+L09JQrZOTN/0c6ccLrN5lMCIfDXNWl6cWk5yBQwHKb9goxQnjviUrxoaA9XC6X8zySXq/HQ+Eo\n6cjn8xxw9vt9VKtVZDIZdroxmUxM8RBTlZrWonBQ7If+LPB7d9JmsyEUCjF1KB6PM72QnnMxPteL\n9+GPwul0wmQyscbg8vKSrckbjQZTqMTWufmc6Ha73C0m7d3e3h5yuRw6nQ7fH5vNxjasNpvtxunW\nNCA2FApxMcxkMqHdbqPb7c4V1Kg7odfrodPpYDKZYLFY5uakjUYjZLNZ1Ot1XhtEM6Su9k3h6306\nRYzFDVSMG+qbQBtht9tFoVBAPB7H6ekpyuUyJpMJVwHJw9pqtUKv13/VGyVwuz7jz41FbulVfy/8\nM/3/dYBmaCQSCTx79gz/+Mc/UC6XUa1WAbyyga1Wq+j1ep9sY9fpdAgGg1CpVMjlcojH4yz+FCYW\nNLTzTrh985BIJDCbzVAoFBwUj0Yj9vT/7bffOGCkCeuUfJTLZZycnMBqtWJlZQUrKytv7QB8CdBq\ntfB6veh0OojH43+IQnibQQnKYqGR6MNvc5T6WtBsNnF+fo5YLMavVCqFdDqNTqcD4FUQ73Q6sbq6\nyvqUm4ZarYbX6+Wp8jqdDufn50gmk8jn80yBttlscLlcPADP4/Ew64OSzcvLSxSLRezt7c2ddW9z\nj/qc+GqiOVqMi/atN2nlKawwCh8E4QTKT32gCFuyiwHbH6mG0TVMJhO0Wi2Uy2Wk02kkk0m21L28\nvIRWq4XD4YDP54PD4eBq3G0GXftiu5s6Uu/7fFH1Tkj9+RpB2hvqDpBlJ/C7MPaqZOOqDfZTg4LB\nXC6H09NTPHv2jA9+jUbDw5pozsRkMvnDrm5k9qDVahEKhRAIBNBsNtHpdHjaL/B7tarb7bIAlKw6\nxVLp/lpAVAzh7IHZbAav14ter4fxeIxUKoVischUKRqcWavVcH5+zrRcm80GjUbzRe8LRCMaDAaw\nWCxcaLqqWykGLAZwiwWPDwF1qwaDAZrN5pyLGA0ONRqNbDcrpvtw3RCeqzT3JZlM4vDwEHt7ezg+\nPsbR0RGbZgDgar/b7UY0GkUoFILJZLrhKwHT/mw2G4DfNSBmsxlGo5GHArrdbgSDwbkXUXrH4zHP\nurJara9RfRUKBVOIb3Kv+GoSC6GfMQV8NKzrpqojFJCQv/JsNmN/bPJPN5lMn5QqRK5M/X6fq5v0\n+iPBB11Hr9dDMpnEyckJDg8PUSgU0O/3mQblcrmwvb2NBw8ewOPxfDEBDzlhkUiPhjxZrdb3er4o\nECF3o9s2DOlTotvtot1uI5/PI5/Po1AooNVqfVAH4LoOXwreiZ4htBHt9/soFotQq9VYWlpCpVKZ\n08z8UUilUphMJvj9fp57I0SxWMTz588xmUywubmJ2WwGs9nMe8gdbhak+6Hq/MOHDzGbzXBwcIBW\nq8UDEHu9HjKZDIbDISwWC7xeL9RqNaxW660vwrwJpLsgWjDR0ciSW2wdDDIhoQIdJT8fc54Nh0Oc\nnZ3h5OQEu7u72N/f52nLCoUCoVAIjx49wsOHDxGJRDge+BoSDLJg73Q6c12KeDyOZDLJE+yJ/qTR\naOB0OuFyuRCJRODz+TgxFxNMJhMCgQC0Wi08Hg92dnY4DiMXUnoJY7/xeIx6vY58Ps8zO6iwKZVK\nYTabEQ6H4fP5oNfrb+z6vprEgqYbNptNrgqTX/xNJhbCqdRUiSVBnF6vZ77lpwrASftQr9e5CqrT\n6f7wfaChXe12G6lUCs+fP+fEgpI5mqq8tbX1xSUW5BJE3E+qnhiNxve+r5RYeL3eG90UbhpEB6HE\nolgsot1uz02efheuq2NBQwx7vR6Gw+GcjqLf7/Pk4Y2NDZTLZXay+VSJhdlsRiAQQC6XQywWm/t6\nqVTC8+fPOQmjIZafKrG5wx8HCZt9Ph++kyNlAAAgAElEQVQePHgAmUyGVquF4+Nj1gX1ej2k02nk\n83n4fD5Eo1F2DRRD5fU6sJhYUKeCEguxuePR2U3W1tQV/JjOynA4xOnpKf72t7/h+PgYiUQClUqF\n9YjhcBjff/89Hj16xHMbxHQvrhNUEK5Wq9jd3cU//vEPnmZer9cxHo/Zopm0m16vF9FoFJFIBH6/\nHzabTVRxhkQigclkgl6vh8/n4w69kDki1FoKf3dKLNLpNGq12tzcJjofQqHQXWJx3aBKcqFQwOnp\nKWKxGJxOJxwOB/PXPuehK6Q+VatVFoHSkCudTgeDwQCv1wubzQaDwcD2t58C7XYbsVgM5+fn3JZz\nOp1wu90fnNVfXl6i2+2i0+mgUqkgm80inU5jf38fR0dHyOVy6PV6UCqVsFqtbN+4tLSEQCAAk8l0\nKzdIouc0m00UCgWmM9TrdcxmM7ZhXHQIEUI4s4Iq8VTNJHverwFUeW82m2wdSJac8XgcFxcXPNvl\nTffSYDDAYrEgGo3C6/Wy1ex1tIKJyud2u2Gz2aDX6/lwIypLo9HAyckJTCYT0uk0DwwzGAxsG006\niD8yWZ32EfpZErvSgDyr1QqdTvfV65fEAiFlj4pHQitugtA1j4wIbpuBx4diPB6j2WzyUDgyLfB6\nvQgGg69Vbm8a5XIZFxcXKJVKTFW0Wq2w2+1cTLoqGVp0cev1esjn83x2lkolFiBTcdFms8HtdsPh\ncHAR8LaDhivS801sB5r5QaBiZa1Ww7Nnz3B+fo5iscisC7K3d7lc/KwsLy9jeXkZ0WhUlBbFAD7a\nnGUymaDZbLJomzR21OGz2+1YXl5GKBS6UdaD+O74J0a/32fO6v/93//hl19+werqKtbW1rCxsQGd\nTvfJB7e8C0SBKhaL2N/fx/Pnz5HJZDAYDFh/EAwGeVjfp2x7tlotnJ6e4ueff0YwGEQgEMB0OoXB\nYGDu34e+Xy6Xw9nZGfb29nBwcIBCoYB8Po9ut4vxeAy1Wg2Px4NoNIq1tTX2O7+tlReyA04mk/jt\nt9/w5MkTdu0wm82IRqNYXV3FYDB4YzBMGgKh6xe1/r8m8W2hUMCzZ89wcXGBTqczN6mWEu9ms8nC\nxatgNpuxvLyMe/fuIRQK8bTf67iHFDTU63W4XC6YTCYOBOiA7HQ6ODo6QqPRQDAYRDgcRigUYr6s\n0WiEXq9n55cPCRSIGiCc3Ls4KEsul8NsNsPv90Ov19+K+Td3+LoxHA5RrVaRzWbR7XahUChgtVp5\nOJzJZBLVnlgoFPCvf/0L+/v7sFgssFgsWFlZwfr6Ogtz3xTQUnLR6/VQKpWQSqWQy+XYKYgGo2o0\nGqbDkCOQGIPkj8FsNkOv10O73ebBcDQ9++zsjO8R2cm2223kcjl+PujMJCaEz+fD48ePsbW1hUgk\ngqWlJZhMpltl0/8+GI/HrPFrNBpsg00JlsPhwMrKCkKh0I1e+5fxlL4F/X4f9XodmUwGx8fHePr0\nKWd2xIX/HKB2F4lvOp0OTk9Psbu7y8H4eDyGTqeD3+9HIBDgCYqfEtRmf/nyJQue1Go1HA4HnE4n\nC8YpUKEkSDjUjippo9EIFxcXuLi4wOHhIV68eIH9/X2mihBfkLLoe/fuYXV1FR6P59a19KkaPBgM\nuMp+dHSEp0+f4t///jdXrUOhEEKhEAeNwoBvNpvx9zWbTdTrdRbrAa8EjDQMUQxc6jeJ0j8U9PwI\nJ1MT9vb28OTJE5ydnaHVavHBSkkXaVaEoJYxGRtYLBYEg0EsLS3B7XZzl+86AhGaL+LxeBAMBrGy\nssKUrU6nwyJDChTIDrFUKvHQL5vNxq1wpVLJAwDpeuhFCQR1tAaDAbLZLAqFwhzdjqDRaGC323kY\n1Pvqe+5w87jKJpiMCsTeqRAKmcfjMcbjMVNraUL04vfSXkJdynw+j4uLC5yenqLVarFvv8vl4iF6\nYqrUU2Fpb2+PhdVUYOh2uzAajTAajXO2uqTnpP2wWCwikUjg7OwMiUSC3eQmkwkUCgUsFgsCgQBc\nLhd3YcUGigmuKvrQmSE04hAmDLVaDbVaDa1WC51OB9lsFgcHBzg8PATwe+dOeBb0ej1IJBKmyFEX\neGNjAw8ePMC9e/fg9Xrh8/luZdHyTaB4q16vo1AoIJVKoVqtMg2MklCHwwGPxwO73X6jv+8Xn1jQ\n0CjygL68vITRaEQgEIDH4/lsWR1NhySP7lgshuPjYxweHiKRSHD7z2g0soD3OjhywvkS5DBhMBjg\ndrt55L1w7P10OuUKMtGems0mKpUKKpUKkskkkskkstksdymId2qz2RCNRrGysoKtrS1sb2/D5/Pd\nuqQCeBXU0YRlEpAlEglks1mMRiM4nU44nU6sra3hwYMH2N7ehtPpnKsWTyYTnpZJNJ9MJsPOPsLP\nXgzibWGgMBwO2eXoQ0COJ71ejw9RGvgEAPl8HplMBpVKhf8NYSK7OKFW6BlP+iC73c7Dg3Q6HQc0\n13mwGI1GbG9vYzqd4tmzZ3y4LiYDRI9rNBpIpVJ48eIFDziiGS5kwUydDJ1OB41Gg2KxyOJEeu94\nPI54PD733NB1ut1u/OlPf8I333yDYDAoqkDsDm/Gm+aPLP6dmBMM0hwQJVSlUsFisUCn03FwSaAC\n22g04inb8Xgcu7u7ODo6wmw2Y/oPdQjF1K0AXtFWaZ5Ap9NBuVxGp9NBLpeD0+nk9UygfcpqtXKB\nKpPJ4OTkBOfn58hms+wkRwyCQCCAR48eIRwOi7byPhgMeHAnMO+SRXO4Op0O72VUYafEol6vc3wh\nnEtB7yUsbF5eXkKlUkGv18NqtcLhcCAQCCAQCHC3iKiwXxra7TZKpRJ3dM7Pz/nM1Gg08Hg8CIVC\nr8UcN4UvPrEgC7dGo4HBYPBaYvG5BC5En8nn89jd3cXPP/+MRCKBVCo1xyk0Go08KfI6gkvqmJRK\nJUgkEkwmE5jNZgSDQXi9Xp7yKEwsut0uJxKVSoW99C8uLjjYbrfbvKlQ9dVms2FjYwPffvstNjc3\nsbm5CY1GcysrCZRYPHv2DC9evMCLFy9QLBaZvuR0OvHw4UPcv3+fOzPAvDsRJRbJZJI7PdlsFsCr\nTVToCiUGsS0lFnQ4CA8Q4fe87fOcTqeo1+toNBr49ddf8fe//x37+/tz3yOcRiu0kr0KxCVVKBTQ\n6/WwWCycWFAg86H0oo+B0WjE1tYW3G43ptMpMpkMms0ma2foMKTDM5lM8nUZjUZYLBYYjUb2Lne5\nXPB4PHA4HLBarTCZTDg5OcHJyQlqtRpzkungJZqh8D5RYvH999/DbrffynX2teFNluOL3yNmCK3G\nSViq1+t5GvWiRkTorEZ74eHhIZ4+fYrj42PmxwsTC7FBLpdDr9dDq9XOFdgODg6g0+m4i0Fr0Gq1\nIhqNIhgMMmMhHo/j5cuXiMVir33+KpXq1iQW9Xod3W73tWvo9/s81+fk5ATHx8fcfaZhn7VaDd1u\nF/1+nzsaV1n5SiQSNqGwWq0IBoOIRqPY3t7G9vY2a1D0ev0Xue+RKc7p6SnOzs4Qi8VYn2I0GuH1\nerG6unqXWHwuUKeA7CFnsxnK5TKOj48hl8s52VCpVFCr1R8dkAgFd+QlT5zxVquFSqWCQqGAbDY7\nJ0qdTqcwm83weDzweDx4/PgxVlZW4HK5rmUzIb/wYDAIAGg0Gjg+PsZ0OkUikYDBYOCuhVarBfCK\nT0rTs9vtNhqNBiqVCjszkOuTVquFwWCYq97v7OzwAy+2dvb7gA7AdDqNo6Mj/Pbbb0gmk6jX61Aq\nlcyhp45MJBKBxWKZu05qCfd6PaRSKRahtVotKJVKOBwO2O12/lmixtw0KFAgHnAymUStVuOvX0Xd\nWMRsNkO320W322W3k/edSH3V+xmNRg7CF72+qRv2OWbTUGABABsbG+h2u/B6vchkMjwBlpysFgNH\nEh0Oh0OmR1AXkfzMNRoNr7tut8uVu3a7zRROsqcm8SgNnCQq3Zd4wN4UxuMxyuUyKpUKJ45yuZy7\nT2q1mgdYvQnCin4ul0MqlUIsFkOtVptL0IXdOEo0xayVIbpxqVTC/v4+Dg4OIJPJ4HA4YDQa5yrO\nwDytVEiHMRqNePjwITY2NrCxsYH19XXYbDZRPscGgwGhUAjb29vsZNXpdJiyQ51aWvetVgu9Xg/Z\nbJbnMZTLZTQajTnLWqPRyDo9EuHabDZRffbD4ZCf41gshrOzM36GhWfCaDRCv99Hp9PhvYzExlSw\n7Ha7TIcjzQRRQaVSKVQqFa8Fl8sFp9PJVCd6eTweNsW4bfHF2zAajZhGS/b9R0dHSKfTGI/HPPeK\nYq1vvvkGoVBIFEXJm49erhnkNkAVvtlshlKphIODA3Zk0Wq1MJlMf/jBpOpurVbj1l8mk0E2m0Um\nk0E6neZAgTJ8ALDZbNje3sbjx4+xubmJ5eVl5pV+alB1NBwOo1gssjg2k8lAq9XOdRso+81ms8jl\ncnMODkRbIaqMVquFxWKBx+Phg2F5eZm9pElzcNswGAxQrVaRSqU4saDgzuPxYGVlBX/+8595Qu5V\nntnkeU4VuidPniAej6PVakGtVsPv92NjYwNLS0uwWCyi2SCpqpRMJvH8+XM8ffoUqVSKvy48SN7U\nZRAm3L1eD51O552BwlVTtgkmkwnRaJQTua2tLVgsFg6uP1dALZPJeBrqxsYGd5v29/ehUqmQz+e5\nkLGoTaG/7/V6vAeVy2V2kqHDlYIvCsqE95LeVy6XQ6fTwWKx8LAlvV4vCo3Ol4TxeIxcLoejoyO0\n222MRiOeV0JCUdKnvQnT6RTlcpk9+FOpFBKJxGuJhVKp5E6cy+Vid0AxBZdC9Pt95PN5nJ2d4ddf\nf8VPP/2E0WjEVL9FKhTx5oUe/NQ1D4fD2N7exr1797hjIUYYjUaEw2FMJhOoVCooFAo+J1utFobD\nISQSCa9TmUyGYrEIpVI5R5ukCj7tA2azGUtLSxwHBINBpneKBcPhEPl8HvF4HE+fPsWTJ0+Qy+Ve\n2+eEE8NpLxNqbCjhFA4DpC6XUqmEQqGA0WjkWGR1dRUrKyvwer1wuVxswUyxxW2ML96G0WiETCaD\n/f19vHz5Eru7uxw3TCYTTrjcbjfW19fx7bffwmKx3CUWnwNqtRoWi4UrP0ajEb1eD/F4HMDvHQ23\n2w2XywW9Xs8Dea6yihNWn8nLXtip6Pf7qFarHLTTZkODvhqNBgcOZMEajUbx4MEDPH78mCdSX1fr\nU6fTIRKJ4NGjRzg7O8NsNkOtVmOrPxJjmc1mTiwoaxbSUIjrSDNBrFYrVxLW19extrYGv98Ph8MB\ni8VyLddyXRBO+cxkMkgkEjg4OEAsFkMul+NK4vLyMjY2NnD//n14vd43anaoGn1+fo7j42PE43E0\nGg12PlleXsbDhw8RDodF5fxB94FsdYnfL/y6MLG4KhlarNa/TzeBkgoaFEnrUaFQsAnA/fv3sba2\nhrW1tRsRNVIgIJfL4Xa7ucugVCqh1WqRTqdhs9mYQ0yFDZpZs6gdeZ/ujxDCDmEwGEQoFEI0GoXN\nZmPf/zt8OkwmE1QqFeY2d7tdKJVKNJtNtFqtuem5Wq0WarV6TpdEFezz83Pm1FMVt16vsyscDUEM\nhUJYXV1FNBplioeYgkshiKbX6/XQarWY3kJnHZ2PQqMC2jto2rDP58PGxgbW1tawsrKCSCQyRyUS\nG2iwmUQiYdMNsq+n+QKkMaCp2jToTZhA2u12Do41Gg27YK2trSEUCsFsNotuLQ8GA6RSKTx58gS7\nu7s4PDxEsVh8p7mHcE6DXC5nlgg5O1FMQWuI5raQniIajfJ6oALKbQRRjEejEZ9zwrVNs5LK5TLO\nz8/x4sULHB4e4vz8HIVCgWNQtVoNm80Gj8cDv98Pv9/Pxambxs3/BtcMh8OBzc1NXF5eMoWHXCjI\nwuzg4ABLS0uIRqPMczabzRw8EITey6lUCqlUCpVKhZMM+hoJnFutFvMpyQ1HKPpaW1vD1tYW1tfX\nmVdKjjbXBbPZjM3NTej1erhcLlgsFvbPpgOTOI/lchlyuZy7K9SWNBqNPAOD3KRoFgb5+1OVTYxO\nFu8CURbK5TIODw/x8uVLHBwcIJPJ4PLyEl6vF5ubm9jZ2cH9+/c5IXhTRbFQKODnn3/GkydPcHR0\nhHK5zBSoSCSCra0tPHr06KNmiXzJoO6a0+mEyWSCyWTixGJtbQ02m00UwRZ1SWiSajAY5KAxnU6z\nnSQNUOz1emwz/LEg1xy/34/79+/j/v37WFlZgdPp/Cwak68NREMrFArIZDKoVquYTqfIZrM4Pj7m\nZMJqtcLn88HtdjN1qtPpMC2kWCyiVCqh0Wig2Wyi3W7z/kqJtMvlwv379/HDDz8gGAzC6XQy3UaM\noDPNarXC5XLB5/Oh0+mwgQKdi1Tgo6GvRN+z2+18jlABUK1Wf9Swuc8FCuqocBmJRJgqTPRn0hdU\nq9U5Zzi6LnpWvF4v68ToLKWXGNdxr9dDLBbDP//5T+TzebRarXcmFVRQoiBap9Px502mFSaTCWaz\nmZ0RhbRQYkSYzWbuFN9mUOJN9DdyEJNIJOh2u9wR2t/fx+7uLrLZ7Gv3mbrkfr8fZrOZmQ5iWDNf\nfGJB9ACpVMoONKlUCvl8Hul0GicnJ9BqtdjY2ECxWOSJjW63mzsLBKJz9Ho9bk2lUil2nRJaygpt\n92iCokwmY8GpxWLB5uYm/vKXv2B7e5sD9et+KIxGI1dDyPLSYrEgFotBJpNxW54mlRNo6JvZbIbL\n5WJeeyQS4RHyDoeDZ2GI+VB4FyixSKVSODw8xC+//IKTkxMWqNPB//jxY05GgVeVCGF7n5BKpfDz\nzz/j73//OweXXq8XbrcbKysr2NjYwL1790SjrSAIK0xC3ut1WGBSN0w4vZZcskjI6XK55qp5YgBV\nLGl9+P1+TKdTHvJ3enqK/f196HQ6FAoFKBQKNJtNSCQSpkEsihUX33+RGiaRSHhOxfr6Or755hv8\n8MMP3AYX0zP0pYAmYtfrdbYXbrfbuLi44GGMMpkMTqcTm5ubWFlZQSKRYF0SnRvU1SYaqXDiLgVc\nLpcLW1tb+Otf/8odOzF/pkTHs1qtcLvdCIfD7FhGXc/BYACv14tIJAKPxwOr1QqLxcKBtclkeq1y\nK2bQ50KzNoSgolylUmEKdDKZRDweZ50hFSI2Nze5u09DY7VaraipjNSx+O23317rvApBZ4fQGlw4\nTDASiSASiXDcQDEQGXGIhdZzHeh2u8wCoaICnX/kIHh0dISDgwPs7++j3W7PJRXU2SRXLKJQiwXi\n3a0+EYSiqJWVFfR6PTidTlgsFqYm0XAWADykxWg0vtaxEE5LpmEt9XqdDwtqUZGg0mQywWKxwGq1\nciZOC4aqHNFo9LMuILofSqUSHo8Hs9mMxT+VSoVFWVdVU0lYRnxuEouSLz9V229rQkEgwXG1WmVh\nIVFZSIiXzWah0+nQaDSQTqf5mjudDmq1GhqNBr9fLBbDwcEB2u02gFf3MRgMYnt7Gzs7O/B6vaIU\ntsvlclitVoTDYa7UEjWKAodPBaFgkQItk8nEpga0jux2uyiseN8GiUQCrVaLy8tLLC0tQa1WIxAI\nsENUqVRiCsyiv7uwKyqs7pHLDNFJaF6F3+/H0tISf01stpxfCpRKJZaXl/HXv/4VXq8X5+fnyOVy\nvPcTj7xYLEIikfDeQUkFfabCKe2LARlVIIPBIFfDxbgvLEKpVMJsNgN4tXfa7XaezSO0rDabzex4\nptVqWdtI2j6xX+f7Qi6XM41LoVDAbDbD5/NhbW0N9Xqd9zez2Qy3283xCJkuiH0NE4UrGo0y1ZNE\n2ULo9fo5tz5KPqk7QzEE0Z+Er+sacCoW1Ot1xONxNJtNdruiAlWhUMDp6SlOT0+RTCbnipXkhmgw\nGLC+vo5Hjx5ha2vrsw95fhe+isRCJpMxjYJaatRii8ViaLVaKBaLqFQqUCgUfEC/yeWGEgyqOi0K\nNMlC0mw2c1YeCATg9/s5SBL+Dp97MyGRFFWOiAtM7h5vSyyoyyGspBGv77pnB3wukNCagoNms8nO\nPMAr67dMJoPZbIZMJjPH9SQtRSqV4nvR7/dZ8EmbQiAQwL1797CzswO32y3KAIISC4VCwUYErVaL\nk6tPCZPJhEePHuF//ud/+L7RGqLgQ6fTsbBPzCBrRKVSCb1eD5/Px8MBu90u0uk04vE4u0d1Op25\nwVFEnSQKgN1uZ/cTen4ouRcK1xcLIXf4dFCpVFwEoonrer0euVyOE4xut4tWq4VGo4F4PI7xeMya\nNdLnCf97VWLh9XoRCATYBOI2dH4VCgVPOSaLceFUeHoJzwrqgpLoViwUjk8BYiZoNBoecidkMQjd\nv5RKJQuV6T6IfQ0rFArY7XYsLS3x/KqruhYWi4UZIFarFVarFX6/n+l9VDih2EHYGac/f6kgR610\nOs2FBp1OB71ej1KphNPTU6RSKabQ03qiM9nj8WB9fR2PHz/G6uqq6Do7X0ViAfxus0pD4SjBIGEQ\ncSKp3U1ZohDCP9MGQBmkMOM0mUzMG6VJzORkQEI8g8FwIwtHSKeggIQOuslkArvdzm23RQiDO1r8\nXyJkMhkMBgNTvkhoTdVlpVKJRqOB0Wg05wQjkUhQqVSYakcCNDp4SfDn9Xrx4MEDrKyswOPx8LMg\ntoOVnI/kcjnTG4jSUygU3ssVCng/9yifz4c//elP2Nramjt46RmlA/g2HDbU+ieBol6vnytG0AHi\n8XjYCptAItherzdHtyCtCa3BRUvoO1wvZDIZzGYzNBoN05cMBgPS6TTsdjtPD6bksdfr8cRhoSMS\nwWg0wmq1cmVbIpEwLXJ1dRUOh+PW7K90FpBxwdcOYWzwJUKj0SAcDuPPf/4zSqUSSqXS3B5GcDgc\nCIfD8Pv9rJFzuVzwer23ztDlU4POttlshkKhgGKxyIWkRqOBbDbL1uyz2YyF7na7nd2x1tbWmEYo\nttjhi08sCMQDpSyZLFdXV1eRyWSQTCaRSCSQy+VQKBTmLB2vArkjGY1GOBwOFp2RNdpVQmZhoCmm\nB2HRP12hUFxZgaCK05fSmXgTlEolvF4vlEolW3mSlkY4KbRWq3FFEgDz5tvtNgciZJlI1TxyMqLu\nFXGLxQgKkCUSCYLBIGuRKHD6lDoLvV4Pr9c719Il9xAKXG7zMye8lw6HAxqNBn6/n6vaQhtGsnSm\na1er1UwdoTVIndU7fB4IPz+PxwONRgOfz8duf5RQVKtVZDIZZDIZFuxelVi4XC48evQIkUiEEwu/\n3z+nV7vDHcQInU6H9fV1WK1W1g1dxXDQaDQszKZOM8VAXzuIzVKv15FIJJDJZLgYRV1roc04id3J\n0ZP2DrE6p301iYVQOGQymQCAxcfFYhFHR0fc3qbscHGwD4EckshmVUhzcrvdbD3qcrn43xRz9UlY\nRabf92uGXC5nm1ydTsdCWarOkBhvMBjw7BLh4iZBPHWrSIPicrmY/kQcUrE/F7TZUaJ8h4/DYhfj\na6/Y3TYsfn7kyOX3+1GtVlmgXCwWcXp6yrxxctVbxPLyMr755hvcu3eP35/mVhiNRlGLte/wdYM6\nFuFw+KZ/lVsLEl4XCgWo1Wr0+33WXy1auMtkMo4nNjY2sLOzg8ePH8NoNEKr1d4lFmIDdRzoA7Tb\n7djc3ES9Xn9NhQ/MU6GomqjVamE2m2E2m2EwGNg6zGg0irI7cYd3Q+i1bTabcXl5CZPJhGAwiE6n\ng3q9jkajgW63yx7ti5BKpXNaGrVaDYPBAI/HA5VKJUrq0x3ucIf3B01fl0ql3Hkig46lpSU0m02m\nTC7C7/czFZIgFK3e7Q13uMOXC3LGCoVC2NnZwWAwYGtycgskbbDJZML6+jru37+P7e1ttrcXs9D/\nLrH4/zQV4q4Jp0G+C8KM8qr/Cq0z73C7QJ8fdbG8Xi9T4+j5eJd3t1CEJhyodpds3uEOtx8k0iUH\nMBJmLy0tvTZVeBE0EEzYmRDuE3e4wx2+XGi1WkilUoRCIXQ6HY4bS6USJxZyuRwmk4kdxUiDaLFY\nRKvLJHzViQVt4CQ8u8MdgHm7XKI/3OEOd7iDEOQ4KNaq4R3ucAdxQi6X85DFaDTK+hOXy4VOpwPg\nd/ctu92OtbU1RCIRdosTe1dT8qkHXX1m3Opf/g53uMMdRAjxnlgfjrsz4g7/j73v6m0ry7JepJhz\nzkFUDrZsVeivqqarMMDM0/zawTwMMBg0MOjuyo6SLJFKFHPOOX8Pxt51KcsuB9kk5bsAwSqVAi/v\nuefssPZaIkTMDYTdzX6/z8IPZLQ8GAwAvCx8kzIgUSx1Ot08iJn86R8WEwsRIkSIECGEmFiIECFC\nhIib8Kfng0jmFCFChAgRIkSIECFCxAdDTCxEiBAhQoQIESJEiBDxwRATCxEiRIgQIUKECBEiRHww\nxMRChAgRIkSIECFChAgRHwwxsRAhQoQIESJEiBAhQsQHQ0wsRIgQIUKECBEiRIgQ8cEQEwsRIkSI\nECFChAgRIkR8MMTEQoQIESJEiBAhQoQIER8MMbEQIUKECBEiRIgQIULEB0M26xcgQoSIzwOj0Qij\n0QidTgeFQgGFQgEymQwqlQparRZGoxEmkwkSiYQ/RIgQIUKECBG3j/F4jMlkgn6/j3q9jmazCYPB\nAKPRCIVC8d6/V0wsRIgQ8UkwHA7R6/WQzWbxyy+/4Oeff4ZOp4PdbkcgEMDW1ha0Wi2WlpawtLQk\nJhYiRIgQIULER8JkMsFoNEKtVsP5+Tmi0Sg2NzexsbEhJhbzALpB9DEcDjEajbjyKpVKXwmWhF8T\nq7SLh/F4jPF4PHW/qQJAoHtP95r+FUJ43+/yGhgOh2i1Wsjlcnj8+DH+67/+Cw6HA2tra+h2u7DZ\nbPzMXH+P5hWTyYQ/aC2Mx+O3/llaQ/Q7CNfXAP0/uVwOuVzOa0kqFdmsiwLh/RWeFbR/EITnhUwm\ng1wuF+/zZwzh/vK6j8lkAplMBvYbw/cAACAASURBVJlMxoWZRdlDr4OeE4qpBoMBhsPhK2frTZBK\npVAoFPzM3OXz9F0hXEPD4ZA/BoMBcrkcotEoXrx4AYPBgGAw+EF/S0wsbgmTyQSlUgn5fB6ZTAaJ\nRAKFQgFqtRoqlQpGoxEWiwU6nY5/xmAwwGQyQa/XQ6lUQqlUzvAKRLwrut0uKpUKSqUSUqkUUqkU\nGo0GBoMBRqMRBwV6vR5msxkWiwVWqxU2mw3Ay0BbIpHwvZfL5VAoFAt7IPwZiAKVzWbR7/eh0+kQ\nCoXwl7/8BQ8ePEAgEOCDcZHQ7XbRbrdRq9VQKpVQqVTe6ucGgwHq9ToajQa63S56vR7G4zEHBZQ4\njMdjDAYDSCQShEIhhEIh2O12mM3mqf1ExPyDgqNyuYxcLodcLodMJoNsNovRaITJZAKlUsn7xfLy\nMkKhEAwGw6xfuogZYTAYoN/v8x5Tr9dRrVb583q9jl6vB4/HA4/HA5fLBZfLBbPZPOuX/t6gQl02\nm+VKeqfTQafTwWg0euX7KRk3m83Y3NzE1tYW1Go11Go15HL5DK5g/tDv99HpdFCr1ZBMJpFMJtFu\nt9HtdvncWVtbg81m+6BuBSAmFreG8XiMYrGI09NTPHv2DL///jvC4TBMJhNMJhN8Ph9CoRCcTif/\njMfjQSAQ4P8WE4vFAtF6Li8v8fjxYzx58gSZTAadTgf9fp+TSrfbjWAwiFAohPX1da669Ho9SCQS\n6PV66PV6aDSahQys3xbtdhv5fB65XA79fh9arRahUAjffPMNHjx4wJWmRaswdTodVKtVJBIJnJ+f\nIxaLvdXPtdttZDIZpNNpTjCGwyEUCgUUCgVXIAeDATqdDiQSCX744Qf88MMP2NragkKhEBOLBcNk\nMsFwOESpVEIkEsGLFy9wcHCAw8NDTiwNBgMnFN9//z3sdruYWHzGGAwGaLfbUwWsRCKBZDKJVCqF\ndDqNRqOB/f19PHz4EHt7e9BoNAudWIxGI/R6PaRSKfz444/4xz/+gUqlgnK5jMFg8Mr3UyFmeXkZ\n//Ef/wGbzQaLxcJnigjwHEUqlcLjx4/x6NEj1Go1tNttWCwWfP311/jqq69gt9vFxGLWGA6HXE24\nurriQ+Li4gLJZJKrmI1GA7VaDRaLhX/W5XIhmUzC6/XC6/XC4/FAp9NBp9N98I1dJAwGA67yU0WP\nvkbtuvF4DJPJBKPRODcbRa/XQ7lcRjweRywWw9XVFUql0o2VZvrefD6PeDwO4OV1K5VKrjQ5nU7u\nctxFDAYDtFotNBoNAIBOp4PRaITZbIbRaJzxq3s3CNvJsVgM4XAYl5eXiMfjSKfTb/U7ut0uisUi\nisUiWq0W2u32VKdLq9VCq9VCKpViMBhALpffSJsSMXvQfaE5ol6vx/9vOByi2+2i2+2i2Wyi1Woh\nGo3i5OQEkUgEFxcXiMfjGAwGmEwmaDab0Gg0MBqNvCZELDaIhkKDspREAmCOe61WQ7/ff4VO2W63\n0W63US6XkclkkMlkuEBDIhidTgcajQbAy32lVqshm83C7XbD4/FAJpv/UE9ILc5ms8hkMjg4OMDJ\nyQnOz8/RbDbRbDYhlUq5w097IXV15HI5SqUSms0mtFrtW9NS7xrofRmNRny2ZDIZJJNJRKNRHB4e\nIhwOY2lpCSqVChqNBiaTCXa7HXq9/oOLm/O/2uYcw+EQjUYDxWIRFxcXePr0Kc7OzlAulzGZTNDp\ndDj5KJfLUKlU/LMmkwkWiwV+vx/b29vY2dmBz+djSszngn6/j2aziW63y5xj2kRoUx2Px1hbW5ur\n1uZgMEClUkEqleLkEXh5X4UVxn6/z1Wms7MzrjKPx2MYjUa+95PJBCaT6c5WoYfDITqdDrrdLiQS\nCXQ6HVQq1ULyx6mi1m63EQ6H8be//Q1nZ2dMTxCCkoDrnRhSyOp2u9z6p8NgMpnAYDBAp9NBo9Fg\naWkJWq0WbrcbBoMBKpXqzna2FhEUELXbbaapEFqtFkqlEsrlMgqFAvL5PJLJJOLxODKZDGq1GobD\n4RtnbEQsNiixIPpjvV7nRLLb7eL8/BwXFxdMixTO3BBNstFooFwuo1KpoNPpMI2F6EFEMS0UCjg7\nO8Pa2hp3vBYhsaAEodfr4erqCs+fP8fz589xcXHB8dTS0hJ0Oh3MZjMnDpSYlctlTuzb7Tb6/f5n\nn1gMBgMUi0Wk02mcnZ1xkkadL7/fD4/Hg9XVVXg8HphMJqjVajGxmBWoqtBoNJBOpxGLxRCJRBCJ\nRJBKpbhdR5X3drv9yu9Qq9XQarVIp9McVE8mExiNRqjV6jsznEkbKlXv6ZqoQlEqlVAoFHg+gVp2\ntVoNjUaDEwuZTMab5DxQhkajEbrdLhqNBlco9Xo9fD4ffD4fV7QrlQpyuRzK5fLUgQIANpsNer0e\nTqcTrVZr6kC5axgMBmg0Ghx4C+lf74qbKvafIhijv0tJZaFQQDgcxqNHj3BxccFdNhoapLVK1yh8\njfQsaDSaqSFM+lm73Q6/3w+TyQSVSgW9Xo9AIACr1QqtVjs3CfbnCuEa7HQ6HPhls1nk83n+f/V6\nHblcjufvqOJcLBbRbDYhl8v5MJfJZLBYLLBYLDCbzZxUilhMUKGMgt1Wq8XJZa/Xw2QyQbvdxtHR\nEY6OjlCtVplKS6Czs9vtcvX5JtD5ks/nEY1GUSgUEAgE8O23336qy30vUBDc7XZRrVZRLpcRiUTw\n5MkThMNhZLNZDAYDGAwGGAwG2Gw2OBwOGI1Gfn9pdo+KMZ9TYk7JFYlA0EA2FWwvLy9xeXmJcDiM\n4+Nj7o5KJBJYLBamaFPR6jbEIsTE4j1BD/nV1RXz6yORCKrVKgaDwVtlypRwFItFRCIRtFotLC0t\nwWaz8eCRsMOxqBgOh7yZSqVSPkRpGOvq6gqXl5fI5/P8tV6vh263y4EaUUMsFgsGgwHMZvPMeccy\nmQx6vR52ux2NRgOdTgdWqxVfffUVdnZ2ppJPGvLO5/PI5/OcXFgsFmxvb2NtbQ12u/1Oz9m0Wi1u\ncavValitVuj1+vcOkIWUoE+ZgE8mE9TrdUQiERwcHCAcDqNarXJSSAHi0tISzGYzHA4H852FB55M\nJoNarYZGo5kaTFxaWoJcLsfq6ipWV1dhNpshl8uhUqngcDiYc3+X18qigNZgKpVCJBLB5eUlksnk\nFB2Oqs3NZhONRgONRgOtVoupG3a7nYfxab34fD74/X4sLy9DrVbP8ApFfAja7TYajQYKhQIPzKbT\naS4mUlU5m80il8vxmSekvwmDxpvmCwhExaPfW61W+fN5Bik/FQoFHB4e4ujoCOFwGCcnJyiXy1ha\nWoLH48HOzg62trZ4MJ06FnTGVqtVKJVKbGxswOv1zhVt+mNCWLCrVCo8i1Iul1EqlZBOp5HJZLjb\npVarsbq6Cq/Xi83NTWxvbyMQCPDQNqlpfQjExOI9QYpA0WgUv/zyC/73f/8X7XabqU9vA6I/DIdD\ntNttJJNJ2Gw2rK+vw2azMf9t0UGJRSQSgVwuh8lkgkwmQ61WQ7VaxeHhIZ49e4ZYLMYUKODlRkmy\ni9T+dLlcUCgUUCqVc5FY6HQ62Gw2dDodDAYDLC8v41/+5V/w3Xff8aZH3Goa2AyHw8yxJSrU2toa\nrFbrnbjfr0O73ebEIhgMwmq1coXkfUC0IalUypX+jw0KJOv1OsLhMP7v//4PsViM6Sy0XonOaLfb\nsbm5iUAg8MrrUygUHEzSodDv96FUKqFSqZgiZ7FYpqSKqZN5F7qZiw6iuKRSKfz22294+vQprq6u\neI5K+D3Cf+lznU4Hh8OB9fV1BAIB+P1+eL1eOBwOOJ1OGI1G5s6LWDxQ4fDi4gIHBwc4OjpCLBZD\nIpFAu91+RapaKLUqxOu+LgQVM4k6RZSpRUgsiML19OlT/M///A/PkEilUlitVni9Xnz99df493//\nd3i9XqbR0vtHc02TyYSLNVTguevo9/uoVqvIZrOIx+NTH8lkEpVKBdVqFUtLS9BoNPB4PNje3sZ3\n332H5eVlBAIBmM3mG6Xw3xd3/12/RQgrpKVSCWdnZ0x9qlarXFl4199JicVgMECpVEIul+MAetbB\n87tiNBpxVb5SqTD3kTh9MpmMTdBarRZarRZisRji8ThKpdIUBx/AVABVrVZRKBTgdrvhcrlmeZkA\nXnoKGI1GOJ1O5kpTgCnU0abhKLVazSpQ/X4fk8mEH3Sbzcbvy12C8NAkWdZms8mSiaSf3e12+Wco\ncSRFD2HiQRxa+l3tdht6vR42m+2TPCtESaBByqurK5TLZVa5ouozfXg8Hvh8PpYYvt6xILEGel9o\n7cjlcvh8PpaoFlIIRcwP6EzodDrclSSlFaK0EY2NhvF1Oh3/azabWbzDbrezmg3RPhZ1lkY4PEpB\nH+334/GYr/99fi9Ra6n7Q53hXq83VZgCAK1W+4rU96esYhMdpVwuI5lM4uLiAsViEbVabWrAn3Ab\nxRGFQgGNRsNnyrzTgmhO8fj4mEVver0epFIpHA4Hdnd3ce/ePdy/fx9erxdWqxVKpZKThslkApVK\nxXNKQrnueb/2N0EYb/b7fR76p7kaWut0FmWzWWaGFItFlEoljkvVajU8Hg/Tnu7du8csCb1ef+sz\nvWJi8Y6gm03c6nA4PEVteZ/qACnMjMdj1Go1VnswmUwf4Qo+LobDIRKJBJ4/f46zszNcXV0hlUpx\nECiRSFhSlFq7dODQnAkArkALlTSo6l+v16c4qLOCMLEAgHw+D6VSiWq1il6vx7KhJB1KdBa3283V\nJaoi0KzBXauwUOJMQ3nENa7ValCpVIjH45DL5SiXy/wzBoMBRqNxKhgj0M9Wq1WUSiWUSiV4vd5P\n1sHq9/toNBpcAEilUuj3+xgMBrBYLFhZWcHOzg42NjawubkJq9UKjUbzCm1JOIMhl8un1M8omaZk\nVEwo5hvC/anZbDJdRdhtdTqd7C/gcrlYrYcOdqrAqlQqTqiJlrCI9//6sDKda5lMBqPRiN+DdwUV\nKRqNBlKpFJLJJPr9PobDIarVKsuvElwuF9bX17GxsYHd3d0P6pC+D0iwgubs4vE4er3eR52lU6vV\nsNvtcLvd0Ov1c79+isUiwuEwDg4OWFlRoVBApVLB5/Ph66+/xvfffw+XywWLxQKlUjmVbJOh6nWT\n2UVOKgj0HNEsJ6mMlkolliqnpCKXy/FQPz0Tk8kEOp0Oer0e9+7dw7fffov79+/DZrPBbrfzfnPb\nuFtRzEcGdRba7Tbi8ThLBZZKpalOBVVcKateWlriSifd8Js6G8K26Ly3L1+H0WiEXC6Ho6MjHBwc\nsALB9esR0jnoPaKK/k1O1FT1l8lkc7NpEFXNYDBAIpFwJZ7ocJRA0SaoUCimguTPBcT7pTmCVqs1\nlUi02+2ppIC8X2gQT/ietVot7gxRIKdUKqc6Hh/7Wig5oo2eIJPJoNFoOMF4+PAhTCbTwlfORNwM\noeu6cI6C/GnIAJV8bAKBAEtL+3w+eL1eprxeD4zmHUJqDqkeklQqUVtoDpGqp5lMBqlUCsPhEF6v\nF7lc7p3/LiUW9Xqd6R50XjabTTYdFHLv5XI5DAYD/H7/J1cJooSzVqsxJeUm0B5xkzAJJajCuOJN\nsFqtcLvdWF9fh91un8vEgtZIr9dDMpnE8fExTk5OkMlk0O12YTQa4XK5sLGxgZ2dHdy7d48pojdd\nz13s6ArVMYvFIjNBisUiCoUCJ9bZbJZV52j9KJVKaDQaFoZxOp3Y39/Hl19+ie3tbS5cfKy9Rkws\n3gHdbhepVArxeBzHx8c4Pz9HOp2ear0CL/X5yQGTKq7VahXpdBr5fJ4Xi3DwlOgPVqsVgUAAXq8X\ner1+Fpf5QZhMJqjVakgkEshms6xgIZFIpmQ3hRVZjUYDrVbL2tSUPAB/DMJqNBpsbW1hbW0NLpdL\n5B0vCMbjMfr9PlqtFq/7er3OSTr5gAirJlS5FdKhCJSgj8djWK1WWCyWuUnEu90uCoUCYrEYlpeX\n0Wq1oNVq72QnSsRLCCuKlPASjSMYDGJvbw9ra2s8O0FmmER1mqdCybuCrr3ZbKJQKKBYLHLhrVKp\ncEJBw6RkAjkej/l9eJ+/SYkcvd8ajQY6nQ5qtRqhUAgbGxvsG0KJHZ0vn/p9pnVB7tg3Qdi51Gq1\nMBgMUwP71NE2m80cV7wJOp2OPQlCodBc7j00rJ3P5xEOh/HixQtcXFygVqtBoVAgEAjg4cOH2N/f\nh8/ng0qlmooLPgf0+30kEglcXFywslMmk2FlMHqeiO2xtLQEk8kEs9kMu93O3VG/389iEF6vFwqF\nYqqQ8TEwfytujtHtdpFMJvH8+XMcHx/j7OwMmUzmlaBGp9MhGAxia2sLVqsVVqsVyWQSSqWSuxWt\nVmsq0CbJQWFisYhqIOPxmF2Is9nsVCVZuJCpQ0EPgsVigV6v56CSQPQhnU6HUCiEUCgkJhYLBAoC\nKKkgZRwKPqgC+a6VRK1Wi/39fezv789dYqFSqbC7u8tzU3etkibiDwgTC/InAF52r4LBIP76179i\nb28Pfr//rebCFilwEiYWZLxFqjTJZBKxWAzpdJor9R+rW0A0M51Oh+XlZSwvL/P8BXUryHT2U7+/\nlAD9GX2Xqswmk4mH9gnkdxUIBLC7u4vt7e03/k25XM5FGaLhzhsosTg/P8fJyQlevHiBaDTKrz0Q\nCODrr7/G3t4eJxafG/r9PpLJJB4/foxnz57h+fPnSCaTAKa9kYSJqclkgt/vx+rqKtbX17G+vs5x\n00103I91bs7fiptjCKuvpOojvDFUeQ8Gg9jd3cX+/j5Xp0gmcmNjg912iQ61tLTEG8He3h7Ljs7j\nhvA60PtCVStSxhFupkLFBofDwao35GegUqleGdal36NUKnn4zmAwzIWBoFQqhUKhmOq6jMdj5PN5\nnJ2dwe12w+123zh8ed1BmRSwrtPAFh00N5RMJlEoFNDtdrmyuLy8zGuchjyJLtjr9W6kC6rVauj1\nelitVmxubmJrawsrKyufzLlbJpNxokuVIaJ49ft91Go1yGQyPH36FEtLS3C73a9V9qEKJVVb1Wo1\nd2gW6dkX8SokEgnP/cwqqP0YIIl0ogMnEgkkk0mkUinuUFM1lYJpUjsi+gXt8XK5nKuvQhlVovvQ\nc3DT/ikUPvB4PPB6vewf5Ha7WRmJ5M1JfetjPldUNCRvq3Q6zf4UZJorhFarhdFo5GSClMCuJxZ0\ntlDH4s+G3qnLL5PJ5q6oQXt8NpvF8fExfvvtN5yenqJer0/FUkQtJI+oT6X6N08gKerNzU32JxHO\nbhKFkpQpaa7G4/HweiKp89d1KEQq1ByAEoubXB0lEgm0Wi1sNhuWl5dx7949fPXVV0zp6HQ6WFtb\nQ7Va5RYxBU7EoZTJZFhdXYXNZoNSqZy7TeFNIMmzXC43lVjQNdCmoVKpYLVasbq6ir/+9a/4t3/7\nN/a1oMUvvG4KtCmIp4RrHgIvek3UqtZqtZhMJpxYkKHfTZxYqvYJE4zrXOu7AHJFFSYWGo0Gm5ub\n+OGHH1gJazAYMLWBDpSbNNvpcPV6vSzPaTQaP9nsCnlP6PV6WCwWOBwOVoWixIICmmKxCJfLBYfD\ncaMQg0qlgsvlgtPpZFM0vV7PFSgRiw2lUsmD2XdFT5+GsQuFAh4/foxffvkFV1dXrABI8ul0ptEe\nB/yRSGu1WqbBFgoFNoADMKWiRcWmm/ZP4bMTCAR4fsVms8FqtU79XTpbqXD1sUDFkWKxiIODAzx6\n9IgpLIVCAa1Wa+r7SRFweXkZa2trWF9f56BQmFjQuUADzX82YyE8M+cNtEem02kcHx/jxx9/RC6X\nQ6PRADBNdSOqDxVxP7dZNZlMxsIw5XIZsVgM7Xabh7EpSSe5alJ5stlsXMyggvWnVpYTT69bBAWL\nQuM0yi5HoxEsFgtzLoWtYdoESLNZp9MtXGBB8n/FYhH1eh3dbpdVboRQq9VwOBwIBoNYXV3F5ubm\nwhp9CRMLvV4Pk8nEFZlSqYR2u/2KuRFV6KjKTUpYw+GQNwzhv7Q2FnVDFdJEiAdqNBoRCARw//59\nNsgbDoesHnNdXUcI4kw7nU4OImhI/lOAuotmsxkrKyv44osvcHl5iclkgkqlguFwiGazybNXuVwO\nVqv1xo4KGd45HA6+FpPJNHXviSZJVVyiCi6iBOldBSWCFPSR8zoJUwyHQw68r69ToSocnQHz+KzT\nHlWtVhGNRnF6eopnz57h8PAQuVyOTd1IZIMG19VqNe93tE+SIINGo+Fhawq6JRIJjEYjDAYDtFot\n1Gr1jecDnSMOh4Plx8lwc1aziUIZ3FgshqdPn7ILO8nsAuB14vP5sLOzg93dXaar2O12lpi+KxCK\nHNTrdSSTSZyfn+Py8hKxWAytVmtKVXM0GqFUKuHy8pL3uslkMtXtIuoPBc/z+My8L4QxAzE1lpeX\nsbe3x/EhnZvU1VhdXUUoFOLZrVkXMhYrep0x6KCgyodwMU8mE948SqUSms0m+v0+PxQUhFIl5zo1\nQqh+tGhJBfCyDdxqtVCtVvmDNgzgDz6fTqeDy+WCz+eD0Wicy6rK24KCzMlkApPJBKvVilarxcEE\nHSREH6DZk0QiwcOOtVqNkwyv18tuu7RRLPJwJ4HklKltS7QEkkOUyWSYTCaw2+3o9Xpc/b+Jk61S\nqbjqqVarP/lAHwX0drsde3t70Ov1+PXXX3mdC4fpqPJWqVQ4OLruY0FBpdFoZFoEmebRXkFFCpvN\nxi1uMbGYD1AyoFarWSaZkmIKkmg/pKqscA2o1Wqm8BAffh7vLak8ZTIZPH36FD/++CNSqRQqlQok\nEglMJhO0Wi1Tfl0uFzweDxdber0eK9VQJ0KtVrM7MM3iUeef5Hep4nod9OwIvUHeppr/MSGctymV\nSmz4SmITROcxGo2w2WzY2dnBN998g/39fX72NRrNXNB8bxs0S1cqlXB6eorDw0N2HydZVFIYm0wm\nSCaT/D4Wi0Wk02k+O+jDYDDAYrFALpfP5TPzviCJ4l6vh8FgAIlEAr/fD41Gg06nM6WORbOqZrMZ\nRqNxbpguixfBzhBSqZTbtMSHpnYvmSR1Oh2Uy2U0Gg10u11ORKidSUPadwHC+YB+v88t8nK5zCZR\nQkgkEtbYdrlcTPtYVAiTRaPRCLvdzoEBcXzJ46BSqSCTyeD4+BhHR0dIJBJIpVIoFAosU7m+vo7N\nzU08fPgQSqUSLpdrYavTwrVBHhYSiYQDAOITU3duHjbDtwE9xxaLBWq1GsvLy+waS9dIhyOZ+Akd\ndV8HtVrNnGubzQabzcaUP5vNhkAggGAwiMlkwqZX1yvci/wsLSroPtA8BZlfDgYDnjvL5XK4urpC\nJpPhnyEYDAYMh0Ou5lPBad6oLEIKy9HREf75z3/ymtbr9XA4HHC5XAgGg1heXuYZKofDwVQnYeeN\nOvlEe6RZPCquLeK8ESUWVExIpVKvFEekUikMBgN8Ph82NzfxxRdf4C9/+cuMXvGnASUMvV4P+Xwe\np6enePHiBdLp9CuzdERhy2QyyGQyyOVy7AFiNpt5kN1iscBut2M8HnNXi0zxFhE3xVLNZpOLijab\nDaFQ6BXa+LxiMZ7YOYFKpYLf7wcA1uIneVWqRgEvdfnpMCF1p0UMDt8GdIDm83lEIhE8efIEiUTi\nxoErquDRcC4FYHcBRO8BwK7SFES3Wi1Eo1E2C0ylUkyBosBarVZjNBohkUhArVbD6XTC4/HAarXO\nbRXzTaAKFT0LZ2dnqNVq0Ov1cLvdMJvNUzM4iwaJRMKVxc3NTQyHQ4RCIaTTaWSzWV7jNFNFakHA\nHx0c4YFKVSr6vNFocEWK9P/Pz88Ri8UQi8Xg9XrhdrthtVo5SBMxPxiPxzg9PcV///d/Q6FQcLEF\nmE4sVCoVLi8v8fjxYzZV9Hg8XI2fF5RKJZyfn/OgLYmULC8vw+l0srKf8MNqtXKCMBqNpjwarnv7\nkOqPUOFm3oOn94FEIuE90G6335ki45swGo1QKBSQy+VwenqKi4sLJBIJ1Gq11yqFUUBNRRvgj6F+\nkhe2Wq1YWVnB6uoq+8IsoqkwgTr1iUQCkUgE8Xicz4lQKITt7W1WyJr3eEBMLN4B1La22WxcgW42\nm6wEQeh0Oshms7i6uuIg8a5CWJWLRCJ4/PgxO08DfzhoUwJxPbG4CyAqQCAQYH49JQhyuRy5XA5P\nnz7F6ekp2u02Wq0WqwpRlZKCyXg8jslkgkAgwFQoanEuEqhT0W63kc1mcXp6CoVCgeXlZfj9fk4s\n5n2DfB3Ie2ZpaQkbGxtwuVzIZDKIxWJIJBI8JxKPx3F2djZFCez3+68YYdIBQmooQoUw6nRqNBpO\nLO7du4cHDx5wQPYp50xE/DlGoxFOT0+RSqUglUoxGAx4v7tJdlulUuGHH34A8DLZIErQvKBcLiMS\nieD09BSNRgNarRa7u7v413/9VywvL/PsBCUP1GkgmiOdA9c/iP4lLDBd/567hM8xsRgOhygWizg9\nPUUkEsH5+TmSySTTBW8CdewosajX6zx7QIPsJpMJW1tbyGazrMC5qIkFdSqazSYSiQQePXqE58+f\n8xzmN998w2qIRMGeZ4iJxTuAZiPIb4IGrUql0tT3USs0m83C6/VOUSHuwkYpHEammYHnz5/j8vKS\nJdFukgoFgGaziVQqxX4dzWaTA/BFDTJpwJbM0CiYVqlU6Pf7KJfL7NBuMBgQDAa5I2EwGPjgJT1v\naqNfXl5Co9Gw0eIiodvtsilkLpdDsVhklZxCoYBkMomzszPu5gn511Spn+dnRRj4CBVsNBoNz9q0\n2214PB643W52GSaHdqIKUoLR6XRYqpM+F/4t4GUnjGh21CmsVCqw2+1wOBw8FEs827sYmM0b6P6R\nWmC73eYEgpJLWt9KpZKlqWnmihT0pFIpO3KTuhzNoM3DQDcFPZ1OBzKZDBaLBR6PhylPrxuy/jPQ\n9X0umEwmaLfbPIMhlUpR2mkffgAAIABJREFUq9Wmhm7fhtJDXR/aK+f5PRyNRiiXy7i6ukIymUSl\nUkGn05naP2kPpeeEOltCJUgS9yApY5pnHAwGU11/k8kEk8k082fmXUAzujRPcnV1hYuLC6ZTe71e\npNNpOByOKYlyjUbDRaV5WgNiYvGOkEqlmEwmUKlUzKm9vqGSJF+xWESr1WLKzyIt9DeBKC6NRgMn\nJyf4/fffcXR0hGg0yhSf64kUdS2q1SrOzs4gkUgQDAZx//59mM1mlh1dVNCDTUEiKQSRYkqj0YBK\npcLGxgbu3buHQCAAn88Hs9nMiYVarUY2m0WtVkM2m0U4HGbvk0UDde2i0SjLCdbrdQ7CaMiR6GKk\n9uR2u1nzf1HWAwV+er2e3U+HwyELGpAhIKFYLCKbzbIy3Gg0Qi6XQyaTQTabRTabZVqUEDT82Ov1\nuEt4dnaGlZUVrKyswOfzwePx8EDjonDTFxk3OW9fVzMj4zOLxcI+BfR8t9tt7lzl83m8ePGCvXF8\nPt8bvRxmAZlMBoPBAI1Gw/LIJKIg4s8xHo9RKBRwcnKCcrmMs7MzOJ1OrK6uYnV1lU1i3/R+kkeK\nUE50noLK6yABg0QigXw+z3sbnZnkEO7xeFi4ghSfyINEoVCwN8jZ2RlOTk6Ydtputzm+aLfb2Nra\nWrjOxXg8RqPRQC6XmyrGUWxQrVaRSqXYlZ3klmlWdV72B4K4G7wDhEEycUMpYxSCOha5XA61Wo1N\ngua9CvtnoMGqTqeDUqmEfD6P4+Nj/Prrrzg7O3vFXfSma6UqnlQqRTweRzab5eHHeW/vvQnkEE4P\nPXUuWq0WHwBOpxO7u7v4l3/5FywvL09xQieTCa6urvDjjz+iVCpxRWtnZ4epM8D8d7zodbbbbWQy\nGe5ikfcL0eDG4zHa7TZXqhwOB7rdLg83GgwGlhGc50NT2BWgjsufIZfLIZFIoFQqcWIRj8cRjUZf\nMX+USCQYDAYsBkDDrtVqlalXhUKB57yIckOSnXeVUjIvuE7loPVK9DWFQgGz2czGVeS5cHl5iWaz\nyWarvV4PpVIJZ2dnUCqV8Hq92Nra4jNm1oEDrVOpVMqBHilBLfK+/akxmUxQLpcxGAyQzWZZ0adc\nLqPX68FsNvNcyutANDlaG8SiIPnReelyCUHD2/TaSSZcLpdjZWUF9+/fx8rKCksI09yYVqvlsyAW\nizG9vNVqoV6vo9PpoFqtTp0RFosFW1tbc3X9rwMVFfr9PkqlEqLRKOLxOPL5PGq1GnemyMeCYk+F\nQsESzePxmNfAvAh5iInFRwAFVXK5HDs7O6hUKqw/v8ibcLfb5Urp6ekpqztkMpkpZQ8ArwTCQtUD\n4pnncjmEw2Gu9i4a3YcgkUhgMBjg9/uZymIwGDgR0+l0XK0kIySLxfJKwECbI+mhCyXn6FCf9Ybx\nJgj1yhuNBpLJJFPAhPM0/X6fq/LEsTabzUgkEohGo1hfX8f6+jpsNtudHEwmepter+f3y2KxIBAI\nYGdnhzsXhGw2i5OTE1xcXDANcTgcot1uo1gsQiKRoFqt4urqCsfHxwiFQtjb28Pe3h6/v/O8bhYZ\n9Pw6nU7cu3cPo9EI+Xwe5XIZXq+X6U3CbpLZbIbVaoVWq4Xb7cb5+TnOzs7Q6XRQKBSQSCSYCkFd\nvFnr0pMHT7fb5cHsRe8yzwIkQS2RSKYKBYPBAJlMZkpt8nWgmT6SGCXPEKpg63S618r0zgJyuRzL\ny8v47rvvEAgE2NeD5nJ8Ph/8fj/sdjvTOYVUKCrUORwOTpxUKhWcTifC4TDC4TCq1SpisRhMJhMe\nPHgw60t+a5BoR6VSQSQSwU8//YSTkxMUCgVmfozHY+RyORweHiKZTHKykUgkkE6nsbq6yrOL86IY\nJSYWHwHtdpsDwnQ6jUqlAoPBAJlMtvCJBbU0Dw4O8NtvvyGRSHBiIUweCDcNZ9HmSomF0Whkta1F\nhdFo5OFFhUIBj8fDw2ZWqxVer5eDSfq+6xsAJQ5CzrYwsaDvmWfQRkizNOfn5ygWixiNRnytlFiQ\nHCMlX9FoFD6fD91uF0ajERqNZkp96a6AVHCEiii0VtrtNsrlMsrlMv+/o6Mj9Ho9JBIJ7n5SZ4IO\npYuLC+j1ehiNRmxtbUEul2N9fZ2rl/O+bhYRQvNKl8uFe/fuYTKZ4PT0FKPRCGtra3jw4AE2Nja4\nQ0lVWnJYdjqdGI/HiMViPKipVCoRjUYRCAQgk8k4iJ8lBoMBezIoFAoxsfgAkByxsLpMhci36TBK\nJBKeqyJjTUpsKfCmoHweQKIder2eu/H9fh82mw12u50p5eTNcF1Cmz7IFNVkMrEP0mAwwOnpKVMQ\nDQYDqtXqjK/47UGGqsViEeFwGD/++CMSiQQGg8GUe3w2m0WxWOTnTSKRIJVKIZvNol6vQy6Xw+l0\nzsRl+yaIicV7wmKxYG1tDZVKBVdXV1MzFLQghEHhosqqUpDb7/dxdXWFcDiMk5MTHB8f4+rqinnz\nBoOBdaapO0Mtvk6ng3w+j1wux660QrWbeciwPwR0LeQqTWY2tA70ej1viESPeNP10maztLTExlqd\nTmfuzRPJfbpcLuPy8pIH9QwGA6xWK68RtVo9NXxMBlntdhvRaJTlK8fjMfx+/8yDqtvGmwJ9pVIJ\nuVw+5bw7Ho/RarVgMpl4cJGMxarVKieho9EI3W4XKpUKh4eHsNlsCAaD8Pv9U4PAIm4P9BzbbDZs\nb29Dq9XC5/Mhm81idXUVKysr8Hq9cDgcsFgsnIzQedHr9XBwcMDBAHWiyuUykskknE7njQ70nxrU\nWZPL5dxdo1ke2uOFAgQ3iXdcd48n2cx59LEhHxqaB6BZF6Ku0Nkl3I+pcGixWLC+vo5vv/0W2WyW\nncWFHV3h3yFlMJ1Ox3EDJR9C5SQaUCYJ81QqhWq1yvNZzWYThUKBJVg9Hg93fGd5vhJ9jsRvTCYT\nRqMRG0oSk+PPzjZS4jMajXxG2mw26HQ6XnP9fn/u1Sap+DYej1Eul3F+fs4d6UqlwmaRQpDwiUwm\nQ6vVQrPZRD6f5wTSYrFwkmmxWGZewJ7fKGXO4XA4oFKp0G638fz5cwCYSi7ovxc1oSCMRiN0Oh00\nGg2cnp7i73//O46OjlAoFFAoFHhjtNvtWF9fx+rqKrfKSYY3n8/j2bNnqFQqfODQZkpuo/OQZd8G\nSF7YZDJNHcYqleqth+xo2JsUpWq1GitgzDNoMPH8/ByRSASJRAKNRgObm5vY2tqC3+/nuRJKLC4v\nL3F2doZYLIZ8Po9MJoPz83OW3NRoNPB6vbO+tE+GpaWlV3jrcrkcZrMZ+/v7yOVyyGazODs7w4sX\nL3BxccFUCgpC8vk8Dg4OMBgM8P/+3/9jHvYi+4bMMyQSCaxWK89GtFotpkPSDJGQN09GkXK5HK1W\nC0ajcYquNhgMWFFtbW1tLgIlKgapVCrYbDYsLy9zYtHr9VAul1EoFJDP55HP56dosQShszx5XQir\n1POGVquFUqnEppSkOjQcDqFUKpmyQyA3cIfDgb29PYzHYzx58gS9Xg+dTmdKXhr4o5tPhpterxe9\nXo+Vj1qt1lRSSUG1xWJBo9FArVZDpVLh8yWTySAcDmN/fx8A2HRx1lLU1HUmdTRSQiQDxHdVtVIo\nFDAYDLDZbDCbzfz7XqdEOY+grnOxWMTR0RF+/vlnXF5e3phUAC+NNAOBANRqNdLpNFMT4/E408TI\nMPAmQaFPjfmOVOYYNGCaTCah1+tn/XI+GobDIQ+Knp2d4fDwEC9evOCqCgUtNpsN6+vr2N/fh9Pp\nhMPh4J+lQdVwOMwKWeRATqoidyWxuI2ZADJQI8oYVWFeZyY0a9Bh2+l0kEqlOOCt1+tQKpXw+/34\n4osvsLa2Bq/XC7PZzHMCTqcTRqMRarUaw+EQ6XSazRYpqWi326yJP48ByG2COl/Cg0Gr1cLlcmE4\nHLIjrdFo5Oo3BXM0k1OtVnk42GQyIRQK8UzPvCeniwRhsEaSmW+LpaUlqFQqWK1WmEwmduzudDpc\njS2VSmg2m1NGorMKEKVSKdM8yaBMoVDwPBXJYyeTSSSTSfYxEsJkMsFqtcJms/GQLlVYtVot08Tm\nBUQx7PV6MBgM0Ol0UwpwtB9T0kXvkclkwtraGlQqFUajEe+DVKW+XmxUKpUIhUIIhULodrsolUqo\nVCqo1+toNBoYj8c89Ox0OmG325FMJjEajViJrFgsolQqIR6PAwAP1vv9fn7dswLJsVMC9KGg/ZEk\njqlgQmcKqeZR4jKPZ4ZQTa5cLjOdfDweM02aOlRqtRrLy8tYX1/nLh8Ve8lPjebyrFbrXBQixFPm\nFnF9078Laiy9Xg/JZBKHh4c8iCt0zaYqjcVigc/nw/r6OlemhsMha7I7HA6WVh0Oh1MKSvP68M8K\nwo2TlD+USuXcJl/9fp8dpsl9vVAocEC8vb2N7e1tuN1uGAwGni8Yj8cIBoOcYE4mE9TrdUwmE2Qy\nGRgMBqysrCAUCsFoNMJoNM4Nb3gWIJEA2lO0Wi0CgQCi0Sii0SiSySTS6TSazSYbSqVSKSSTSVgs\nFjgcjrdSrRLx6UCeEMFgEFKpFLlcbspcUlhUmOV5QokQJT/FYpEDGJLJffr0KXK5HHK53I0dC/J5\n0el07DWwtbWFra0t+Hw+WCyWuZEJnUwmiMfj+Omnn5DP59k7gBIhh8OBVqsFs9nMRQ/yFaAZFKKJ\nGQwGFIvFG5MKqtzT4HW/30e9XmfFMKFMtUql4oHt8/NzXFxc4OrqimVcqbgTj8fxyy+/oNVq4a9/\n/SvcbvedKigQ5andbqPZbKLRaLCsP3mEpFIpfq9uI5m5bRCFyWg0wuv1YnV1FYPBAKVSaYoyRucf\nCUCMRiPI5XIe9s9kMtytmafi491ZbTPEXUggXoder4dUKoVnz57h4uIC5XKZ23VUiaDEwu/3Y21t\njRMG4lECYN48VRSIY0syeWJi8QfoEKcq2SIkFpVKBYlEApFIBE+fPgUAbGxsYHt7m4MHo9EIYDoB\np6qaxWJBvV7nimcqlYJMJsPGxgZSqRQATM0dfI4gKV69Xg+z2YxAIIDt7W0cHR1xgEMmUkSnSKfT\nzNXXarWw2+2zvgwRApAiWiAQQKfTQa1W4y4ldaAoYJjlHimTyaBSqXjAvFgs8tdzuRyOj4/x008/\nsfDA6+ZCJBIJF6M0Gg2+//57jMfjKTfleUE8HsePP/7I1EytVsuqfs1mk2WCaXbEZDKx9wIlIEaj\nEaurq+h0Oq+lRpP3Dc0O0HtM0twEMmEljxNy7iY1MTKtjcfjqFQqKBaL8Hg8+Oabbz7l2/bRMRqN\nmF5GPkE0w0L0tWQyCQBsXDpvoM60wWCAx+PB2toamwjSnuD1evHVV1/hu+++g9vthtlsRrPZxGAw\n4GH1crnM3Q/aJ+aBfi8mFh8BdynJkEqlUCgUbGQmDG5JqWF3dxf379+Hx+NhLvfS0hJXD5LJJOsy\n0wZLA0fBYBA2m23mnMDXQdi+pg/ihN7GQU+VSXLiJSlClUrFErzznlgAfwywazQamM1maDQabGxs\nYHd3F263m92gr4OuSa/XIxgMMj+4UCiw22+lUoHZbF4oDu3HwHUfHZ1Oh9FoxEpaxWIR5+fn/P1k\nrBSLxWC322G1Wmf10hce1GkdjUYctA2HQ6b0vK93AM1lPHz4EL1eD9lslp3ZpVIpD/8StWVWQga0\nT9Hru7i4YFUrmv+6d+/eG+UuKRgkTxairDx+/BiFQgHr6+tYWVnh3zvrgJCumcQzOp0On2uJRIIr\n4kRXCYVCWF9fh9vt5q+p1WpYLBaef7op6JNKpTyHQxVpooYKhV+IiiaXy+Hz+SCRSNDtdhGLxaaG\n/0nBq9Fo3EhJW3SQoEyn02H1JJpvJUUsos3OYyx2U2GN6HWhUAij0QharRZmsxnr6+sIBoOskkgK\nikIVLUo0yIhWpEKJmHvQpkcHG7VUqUvjdruxv7+PBw8ewOPx8NCtRCLhgygWiyGTyaBSqbB3gVwu\nh9VqxfLyMhvgzCOozTgajXgDu00u8HA4RK1WQ6FQQKVS4cSCVCB0Oh0Pfs5rV0eo8GUwGOB0Otmk\naGdnBy6X609b8Wq1GoFAAJPJZGoep9VqoVqt8vCjiJegrtZkMoHb7YZEIkEsFnuF6kT+FjabDaFQ\naEavdvFBiUW320U6ncbx8TE6nQ729va4Uv0+nWulUgmfzwfgpXHi0dERkskkqtUq2u020uk0MpkM\nbDYbD/bPAjQsmk6n2Une7XbD5XLBZrPBaDTiyy+/hMfjgdfrvXE/r1arKJfLyOfzyGazzAt/9OgR\nwuEwkskkcrkcHj58yOqCswRVxtvtNqRSKateZTIZnqVTKpXQaDTQarX48ssvOem3WCw8A0BqUm8C\nJWS0jwqLWQShvLHX6+Uh7idPnkAmk3FwTZVrotLNQwX7NkH3pdvtTqlm0TlECdgi+PdoNBr4/X6e\nUaXOC3XwdDodCz3QbAVRpKlYNxgMeNaiVqvNRQHus0ssSAJVKOc2Go2mDFluy1yGuLJUoZmHG/6u\nEKo3Wa1WOBwOTCYTngEg/vzy8jLMZjOWlpbY4I2CmnA4jEwmg1arNRU0G41GmM3mmR8gbwJRt+hQ\nIdlPq9UKtVr93r+XOiF0WJ+dnSGVSvGgssFggMvlgtFofCspvllCuEYCgQCazSZLLvp8vrfSu1cq\nlbDb7ZDJZPB6vbBardzmTqfT8Hg8czHEOi+gCjl1tgaDAR9AQrTbbVbroUFgYYAi4s0QSoenUimk\n02kkEgkkEgkunnwIaMaCqtA0mEvmaeVyGblcDh6PZ6YiIRqNBna7HXa7HaPRCM1mE5PJhKVEA4EA\nm3QFAoEb9/RarYZSqYR8Po90Og2Hw4HRaIREIoFsNgu5XI7RaASHw4Ht7e2ZP+tE81Uqlej3++h2\nu+h2u6jVavw9UqmUOxPkFE1dRKG4iVKpvFXKtFwuZxlz8vsRmtGS6tBdKcYIPbJoT0un0zxLRgkZ\nyfbSLN88d/mBP8ReiCb8OlCiKezW9Pt9vr/z5lc0v9HKRwKpWJRKJdRqNTQaDXS7Xd4cKHi+rcSC\nTOWazeafLp55BG2cJpMJXq8XnU6HXTLtdjvu37+P1dVV2Gw2qNVqTty63S4ymQxOTk7w9OlTpFIp\nDAYD5ofb7XbeEOcZwoEw4v+vr69zYvW+oAG0SqWCs7Mz/PzzzywdqlAo4HA4sLq6CrvdPvcDy7Qx\nkkeH1+uFWq1mQ8C3kTuUyWT8vW63G16vF9lsFo1GAxcXFwgGg+j1ejPnmi8aiE5GVeZerweZTDZz\nCcpFAR3klUoFjx8/xj/+8Q8eovf5fBy8vG+iRvvr0tISXC4XgsEgS3kXCgU0m03kcjkUCgU4HI6P\ncIVvB4/Hg6+//hoOh4PpWSQfTcZlNFPwuu6qWq3mc4JosMSLT6fT6HQ6uLq6YgO16/Ltnxo6nQ4u\nl4ud1IUJBYHOu8lkgmg0itFohEwmg83NTWxsbMDv98Pv98NgMIjJ/AdiPB5jNBqhXC6zQmU2m+XC\nsEajgcFg4OF6tVo91wW5dwEVa1utForFImKxGD8nJCrg9/thMpnm4ppn/wo+ESjjHY/HqNVqSKVS\nyGQyKBaLqNfrrGREN+o2hsioHVmpVFhrftFAVCiz2Qyfz8fcxeXlZYRCIVazIAoGSajV63XW1T48\nPGQZRZVKBYvFArvdvhDGZzRMVyqVcH5+jsPDQ8hkMgQCAdhsNgDvV1EjWgUZ5Pz2228cSJCkYCgU\nYnWReQZRw6jL8j6QyWTc9nU6nfB4PGwE1Gw2cf/+ffR6PaYHzPqAvsnsSojr1cmP9Xqvv47rr4d4\n4uStQFS7eTh8FgFEuyiXy3jy5An+8z//Ez6fD99++y0MBgMHL++b7Aor3g6HA36/H5lMBt1uF4VC\ngauzpVKJzdpmAZfLBZ1Oh1AohFwuh3w+D7/fD5/Px8o7f1YAoeq9xWLhr5Hr8GAwQCqVQrFY5Ose\nDAbMJJgF9Ho93G43crkcer0eK9YJQayEwWDAlF9KjlqtFguYkLmpcP7k+r9vC+EzTxTduwrhvkbz\nI8VikX18crkcRqMR09FMJhObxS16AUq41iheqNfryOfzSCQSLJJA1Du/3w+z2TwX8cJnc7pQxtfp\ndHBxcYHffvsNiUQC1WoV3W4Xdrudeaxut/tW/iZl15eXlzCZTO8ddM0S5LQ6mUx48ZIhlMVigcFg\ngEwmm9KPjsfjiMViXFEQzg0YjUY2c9HpdDMPEN8WNAuRyWRQLpfRbrcxHA55WOxdQUZIxWKRP5rN\nJrd1VSoVdDrda4ee7zKIW6pQKFjLnwb/B4PBXKiI9ft9Vl6iA0/YliY5TRq6/1jB0Xg8RqfTQaVS\nYaqTEKTmQ+ooFOAsynM3a1CAT3MPdJATHfK2u66UkM7b/SE5VVIfMxgMMJvN/Jy+7/Not9uxu7vL\n1J1ms4loNIq//e1v2NnZYe+bWYDonN1uFxKJBKPRiJP0m4J5ijHq9TouLy85GSkWi/D7/Xxm0nNI\nHgzvGghOJhOmN56enqJUKr0y6H1XQAnUYDBAoVBAsVjE6ekpLi8vkUql0Gg0OB5ZX1/H7u7unVK+\nIypmJpPB5eUlXrx4gUgkwkXI0Wg0ZRj4NrTjT4HPJrEYjUac8Z2fn7PTIVUVPB4PPB4PzGYzdnZ2\nbu1vUmLhcrmwtbV1K7/3U4KGrA0GAxvQ0NflcjlreFNSQZX9p0+f4vj4mDXNyRzHYDDAbrfD4XBA\nq9XO3QH6OgyHQ5bvLJVKXFGjoap3hTCxoA2TglMKBoUDWp8TFAoF9Ho9FAoFOp0O8vk8FwAGg8Fc\nbJy9Xo/pcaQYQzNUMpkMwWBwSpnkYycWRLe8KbEQKtTcNtf7roM8G1KpFCcWcrkcJpOJD/IPeS8l\nEsnULMG83hva52g+jtSLaI2/7x7lcDiwu7vLuvyXl5eIRqNot9uo1+vQ6XQzSSyEwSpRe1utFgqF\nArrd7o2JBXUParUaut0ud2AymQxWVlamPHlMJhN0Oh0bA74rCoUCTk5OcHp6ygpld7FzQV2Zfr+P\nQqGA8/PzqcSCrtlms2FzcxM7OztwOBxz+Qy9D4j+lc1m8fTpUzx+/BjhcBiFQoHXGyUWVKydh/Px\ns0ksOp0O0uk0YrEYzs/PcXV1hVQqxXJsUqkUk8kE6XQa2WwW+XyeN04Kot/1hpFzcrPZZCrQokEq\nlbJO93UIh8TK5TJisRguLy9xdHSEFy9esPW8yWSC2WxmpaDNzU0e9l6UoJkUikqlEur1OrrdLobD\n4TutCdKaHgwGyOVyOD09xcnJCbLZLLrdLvNEqRrqdDrnZqOgwUXayKhK+TppyXcFvTej0YiHVtvt\nNptN6XS6uXDeJoWwWq2GaDSKw8NDrmJSt4k48zRYeVu0I6FC2WAwmJrROTo6QjQaRaPRmKKK0SwA\nUVbmYS0tEqhjIayOUtKv1WqZ/vO+zwANZFKCSF2weZMJpeRBJpPdqoIfzTH4fD72OhqPx8jn8ygW\niyxPTviUAaPRaITf78doNIJEIoFOp0M2m2XJXVImarVa/PwLqVHNZhNLS0tselcqlZDNZmGxWLhY\nR8p/5NxOccZN+5zQryCdTuP09BTRaBTVanXKv0DoAj7r/fJ9QZ0KKgaTUuDBwQHC4TByuRzPxur1\neng8Hqyvr2NtbW2KavepQUIv9PwK1ytJ9ysUCu5i33R/aD/o9/solUoolUp48eIFjo6OcHp6yteu\n0WiYrkdzTvMSL3w2iUWz2cTp6SkePXqE09NT9gygjJcGdIkjSW1e4cc83LB5A9HL0uk0Hj9+jEeP\nHrFqymAwgFKpZKnLUCiEjY0NbG5uIhAIwGg0LkxlQXjwt1otTizepdpEMzfNZhOXl5f4/fff8ezZ\nM6RSKUwmE6hUKphMJjidTni9Xvh8PvYFmTVarRby+TwnikKJzdt4Lqij2Ol0kMlkcHFxgWKxCIPB\nwGozwoN3ViDKX7FYRDgcxj//+U8OLACwUZbdbsfW1tatVhGFwgiNRgPVahXJZBK///47fvrpJyST\nSZTLZf5+iUTClbzNzU3Rx+I9QB2zZDKJVqvFnVeisnzoWhRyx0mLPpfL8Xq666DupMVi4X2PihjA\nHwHmLM4JnU7HymtWqxVra2t8f4rFIitc0XlHgb8QjUaDuxiJRAIGg2GKRkxiJqFQCCsrK9Dr9a9V\nASSqVbfbRTKZxNnZGeLxOOr1+tTfpQB23tUEXwd6H6nIlEgkEI1G8eTJE/z+++9IJBKoVCpsMGez\n2RAIBLC6uorl5eWZqqe1Wi1ks1lUq1UA04kFUShpJol8KK5DSKk7OzvD8fExDg8PWZKZJGlNJhOb\nEpOgzrz4XS3eqntPtNttpFIpvHjxAslkcoo2QEYz4/EY6XSanTbNZjPMZjOsViusVisPG1O7WiqV\nsjPq6zDP7e33BVVNhsMhqtUqarUaLi8v8ezZM/z0009cdTOZTHA4HAiFQtjZ2cHOzg5WVlbYFG8R\nIJTmpAEqkkGlitTbqkPRRpnP53F5eYmDgwMcHh7yRkHVO7/fD4/HM1czOTRE2mq1eM2TqRNVYIQm\nYW+73qnSRtSwcrmMVCqFWCyGVqsFt9uNra0tuN1upg3M8lkSbvrxeBxHR0doNBpczdZoNLDZbNjY\n2ECpVIJer+c19L4manTIUvBZrVaZY315eYmnT5/i119/ZelTks1WKBRwu93Y2NiYeSVvUUEdi3Q6\nzR00Ia3sQ+dViLffbDZRKBQ4aKWKJ9GP6Bm7axDKbVJXu9FoAAC/t6QE9ymfe4lEwl0pckEmh2vy\n4SAGhEQiYdU16ihS95XMTwuFAv9eiivIANVqtaJarWI0GsFisUCj0dw4CC/01YhGo0wHajabU99H\nDt0kVX5b75tQAIeu8333/Tf9fgBcQCkUCsyCODg4wLNnz9BoNCCVSqHVamGz2VhIZnl5GR6P54Ov\n80PQbDaRTCa5WCh62JXLAAAY0ElEQVS8Jo1GA6fTCYfDAYPBAIPBMHWf6fuJVp7P53F8fIxffvkF\nZ2dniEajKJVKHHOQcuTa2hrT+OcFn01ioVAoWNmoUqlMZfJUNQKAdDqNJ0+eIJPJcKeCZgKEknG0\n6VxcXKBSqdz4N0l9hRQz7srBQCZBmUyGJVjPz88RDodZko+clL/44gvcv3+fZfc+1P/hU4M2aaGP\nR7fbRSQSgUqlwvr6+lvLCPf7fSSTSRwdHSESiSCfz/MQOAD4fD588803+Oqrr2Y2sPg60KFGXb1+\nv88HJH2QCy0NCL8NhAfI6ekpTk9PEYlE0Gq1WO3C4/HAZDLNPKkAwBQDkmB2Op0AwLrilCCFw2Ho\n9XpsbGwgGAzC4/HAaDTCYDC88z5Aw9l0yJ6fn7OhYqFQwNXV1VSRRK1WM/3p3r177Ga8CCps8waa\nsUin0xgOh9BqtRwU0ODyh6Db7eLi4gLhcBhHR0fsOE/BtNVqxerqKrvv3lVQsl4qlViqmqS2h8Ph\nTNWhhOe4xWJhTrvL5YLX64XRaITRaGR6VL1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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1620,14 +1641,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Saving figure noisy_digit_example.png\n" + "Saving figure noisy_digit_example_plot\n" ] }, { "data": { - "image/png": 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+ "image/png": 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ujs3Y2Fhszpw5E5vKccLK0cX29vaGNOfPn49N5Yho5XtY+VlUvoeVZ77pppti8+abb8bm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\nAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1638,7 +1659,7 @@ "some_index = 5500\n", "plt.subplot(121); plot_digit(X_test_mod[some_index])\n", "plt.subplot(122); plot_digit(y_test_mod[some_index])\n", - "save_fig(\"noisy_digit_example\")\n", + "save_fig(\"noisy_digit_example_plot\")\n", "plt.show()" ] }, @@ -1677,14 +1698,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Saving figure cleaned_digit_example.png\n" + "Saving figure cleaned_digit_example_plot\n" ] }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAARoAAAEaCAYAAADOs5i6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAABepJREFUeJzt3aFvk1sAh+H1ZrgZHAsBEgQKDMFhUQiSCRQCEhISLMn+\nAxyC4Egw4FBIHAqFmIJqQAASAgFTsSuwu5zB+rZl93nk+GU9Yrz5xMnXye7u7hpA6Z9lHwA4/IQG\nyAkNkBMaICc0QE5ogJzQADmhAXLrC/wsNwPh8Jvs9UNPNEBOaICc0AA5oQFyQgPkhAbICQ2QExog\nJzRATmiAnNAAOaEBckID5IQGyAkNkBMaICc0QE5ogJzQADmhAXJCA+SEBsgJDZATGiAnNEBOaICc\n0AA5oQFyQgPkhAbICQ2QExogJzRATmiAnNAAOaEBckID5IQGyAkNkBMaICc0QE5ogJzQADmhAXJC\nA+SEBsgJDZATGiAnNEBOaICc0AA5oQFyQgPkhAbICQ2QExogJzRATmiAnNAAOaEBckID5NaXfQDg\nz81ms+HmyJEjCzjJr3miAXJCA+SEBsgJDZATGiAnNEBOaICcezT8kffv3w830+l0uDl58uRwc+rU\nqeHm+/fvw83m5uZwc+/eveFmZ2fnl//+9OnT4e/Y2toabn78+DHcXL9+fbi5c+fOcPPp06fh5iA8\n0QA5oQFyQgPkhAbICQ2QExogJzRATmiA3GR3d3dRn7WwD+K/TSaTZR+BfVrg/8152vMPzBMNkBMa\nICc0QE5ogJzQADmhAXJCA+SEBsh5w94h8vDhw2Uf4bdtb28PN+fOnVvASX66ePHicHP69OkFnORw\n8UQD5IQGyAkNkBMaICc0QE5ogJzQADmhAXLesPeXGH0N69ra2tqFCxfm8lmz2Wy4WV9315M9ecMe\nsBxCA+SEBsgJDZATGiAnNEBOaICc0AA5t65WwOvXr4ebeV3Ge/z48XDjMh7z5okGyAkNkBMaICc0\nQE5ogJzQADmhAXJCA+S8YW8FPHr0aLi5devWAk7y0wL/Jjh8vGEPWA6hAXJCA+SEBsgJDZATGiAn\nNEBOaICcC3srYDLZ847T0ty/f3+4uXz58nBz5syZeRyHv4sLe8ByCA2QExogJzRATmiAnNAAOaEB\nckID5FzY+0t8+fJluHn+/Plwc+3atXkcZ206nQ43N2/eHG6uXr063Ozn7YIbGxvDDQvhwh6wHEID\n5IQGyAkNkBMaICc0QE5ogJzQADkX9sg8efJkuLlx48Zws7W1Ndw8e/ZsP0ei58IesBxCA+SEBsgJ\nDZATGiAnNEBOaICc0AA5F/bIvHnzZri5cuXKcPP27dvhZmdnZ7g5f/78cMOBubAHLIfQADmhAXJC\nA+SEBsgJDZATGiAnNEDOhT2W6uPHj8PN8ePH5/J7Njc393UmDsSFPWA5hAbICQ2QExogJzRATmiA\nnNAAOaEBcuvLPgD/b69evRpujh07Nty4jLfaPNEAOaEBckID5IQGyAkNkBMaICc0QE5ogJwLe2Q+\nf/483Ny9e3e4uX379jyOwxJ5ogFyQgPkhAbICQ2QExogJzRATmiAnNAAOV+JS2Yy2fPbUX/bAv9G\nOThfiQssh9AAOaEBckID5IQGyAkNkBMaIOfFVyvg7Nmzw82DBw+Gm3fv3g03J06c2M+Rhl68eDGX\n3/Py5cu5/B5WmycaICc0QE5ogJzQADmhAXJCA+SEBsgJDZBzYW8FTKfT4ebSpUsLOMn+bW9vDzff\nvn0bbjY2NuZxHFacJxogJzRATmiAnNAAOaEBckID5IQGyAkNkHNhbwXs55sYZ7PZcPP169fh5sOH\nD8PN0aNHh5t5vamP/wdPNEBOaICc0AA5oQFyQgPkhAbICQ2QExogN9nPZbE5WdgHAUsz2euHnmiA\nnNAAOaEBckID5IQGyAkNkBMaICc0QE5ogJzQADmhAXJCA+SEBsgJDZATGiAnNEBOaICc0AA5oQFy\nQgPkhAbICQ2QExogJzRATmiAnNAAufUFftaeX5UJHH6eaICc0AA5oQFyQgPkhAbICQ2QExogJzRA\nTmiAnNAAOaEBckID5IQGyAkNkBMaICc0QE5ogJzQADmhAXJCA+SEBsgJDZATGiD3LzDvrroap88G\nAAAAAElFTkSuQmCC\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAGFCAYAAAASI+9IAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nABBRACCiAEBEAYD8A3Her5BXvT8QAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1694,7 +1715,7 @@ "source": [ "clean_digit = knn_clf.predict([X_test_mod[some_index]])\n", "plot_digit(clean_digit)\n", - "save_fig(\"cleaned_digit_example\")\n", + "save_fig(\"cleaned_digit_example_plot\")\n", "plt.show()" ] }, @@ -1736,9 +1757,9 @@ "outputs": [ { "data": { - "image/png": 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iOO+8zbz5Znfg9/TtO4Nx45R9iDR19e5YN7NTgb+4+zfT06SU26HLWRlQUQHF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\nMrM7LKxjX2FmH5rZU2ZWFD2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6Rhljye/bkrA9+ZWIcxMRkTqmsDA8M+j990vGOnYMXW1VrEhVbg9dlvRrJ6xpOdC6lhXA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\nXERERFIvm/OCpsCOMsa3Jx0v7zwinpv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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1976,6 +1997,31 @@ "source": [ "plot_digit(ambiguous_digit)" ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Exercise solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Coming soon**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] } ], "metadata": { @@ -1996,10 +2042,14 @@ "pygments_lexer": "ipython3", "version": "3.5.1" }, + "nav_menu": {}, "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, "toc_cell": false, - "toc_number_sections": true, - "toc_threshold": 6, + "toc_section_display": "block", "toc_window_display": false } }, diff --git a/images/ann/README b/images/ann/README new file mode 100644 index 000000000..1c4283b97 --- /dev/null +++ b/images/ann/README @@ -0,0 +1 @@ +Images generated by the notebooks diff 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b/images/decision_trees/README @@ -0,0 +1 @@ +Images generated by the notebooks diff --git a/images/deep/README b/images/deep/README new file mode 100644 index 000000000..1c4283b97 --- /dev/null +++ b/images/deep/README @@ -0,0 +1 @@ +Images generated by the notebooks diff --git a/images/dim_reduction/README b/images/dim_reduction/README new file mode 100644 index 000000000..1c4283b97 --- /dev/null +++ b/images/dim_reduction/README @@ -0,0 +1 @@ +Images generated by the notebooks diff --git a/images/distributed/README b/images/distributed/README new file mode 100644 index 000000000..1c4283b97 --- /dev/null +++ b/images/distributed/README @@ -0,0 +1 @@ +Images generated by the notebooks diff --git a/images/ensembles/README b/images/ensembles/README new file mode 100644 index 000000000..1c4283b97 --- /dev/null +++ b/images/ensembles/README @@ -0,0 +1 @@ +Images generated by the notebooks diff --git a/images/rl/README b/images/rl/README new file mode 100644 index 000000000..1c4283b97 --- /dev/null +++ b/images/rl/README @@ -0,0 +1 @@ +Images generated by the notebooks diff --git a/images/rnn/README b/images/rnn/README new file mode 100644 index 000000000..1c4283b97 --- /dev/null +++ b/images/rnn/README @@ -0,0 +1 @@ +Images generated by the notebooks diff --git a/images/svm/README b/images/svm/README new file mode 100644 index 000000000..1c4283b97 --- /dev/null +++ b/images/svm/README @@ -0,0 +1 @@ +Images generated by the notebooks diff --git a/images/tensorflow/README b/images/tensorflow/README new file mode 100644 index 000000000..1c4283b97 --- /dev/null +++ b/images/tensorflow/README @@ -0,0 +1 @@ +Images generated by the notebooks diff --git a/index.ipynb b/index.ipynb index c9878a61b..a1c72fecc 100644 --- a/index.ipynb +++ b/index.ipynb @@ -16,19 +16,29 @@ "\n", "### To run the examples\n", "* **Jupyter** – These notebooks are based on Jupyter. If you just plan to read without running any code, there's really nothing more to know, just keep reading! But if you want to experiment with the code examples you need to:\n", - " * open these notebooks in Jupyter. If you clicked on the \"launch binder\" button in github or followed the Installation instructions, then you are good to go. If not you will need to go back to the project [home page](https://github.com/ageron/ml-notebooks/) and click on \"launch binder\" or follow the installation instructions.\n", + " * open these notebooks in Jupyter. If you clicked on the \"launch binder\" button in github or followed the Installation instructions, then you are good to go. If not you will need to go back to the project [home page](https://github.com/ageron/handson-ml/) and click on \"launch binder\" or follow the installation instructions.\n", " * learn how to use Jupyter. Start the User Interface Tour from the Help menu.\n", "\n", "### To activate extensions\n", - "* If this is an interactive session (see above), you may want to turn on a few Jupyter extensions by going to the [Extension Configuration](../nbextensions/) page. In particular the \"*table of contents (2)*\" extension is quite useful.\n", + "* If this is an interactive session (see above), you may want to turn on a few Jupyter extensions by going to the [Extension Configuration](../nbextensions/) page. In particular the \"*Table of Contents (2)*\" extension is quite useful.\n", "\n", - "## Chapters\n", - "1. [Fundamentals](fundamentals.ipynb)\n", - "2. [End-to-end project](end_to_end_project.ipynb)\n", - "3. [Classification](classification.ipynb)\n", - "4. [Training Linear Models](training_linear_models.ipynb)\n", - "\n", - "More explanations and chapters coming soon.\n", + "## Notebooks\n", + "1. [The Machine Learning landscape](01_the_machine_learning_landscape.ipynb)\n", + "2. [End-to-end Machine Learning project](02_end_to_end_machine_learning_project.ipynb)\n", + "3. [Classification](03_classification.ipynb)\n", + "4. [Training Linear Models](04_training_linear_models.ipynb)\n", + "5. [Support Vector Machines](05_support_vector_machines.ipynb)\n", + "6. [Decision Trees](06_decision_trees.ipynb)\n", + "7. [Ensemble Learning and Random Forests](07_ensemble_learning_and_random_forests.ipynb)\n", + "8. [Dimensionality Reduction](08_dimensionality_reduction.ipynb)\n", + "9. [Up and running with TensorFlow](09_up_and_running_with_tensorflow.ipynb)\n", + "10. [Introduction to Artificial Neural Networks](10_introduction_to_artificial_neural_networks.ipynb)\n", + "11. [Deep Learning](11_deep_learning.ipynb)\n", + "12. [Distributed TensorFlow](12_distributed_tensorflow.ipynb)\n", + "13. [Convolutional Neural Networks](13_convolutional_neural_networks.ipynb)\n", + "14. [Recurrent Neural Networks](14_recurrent_neural_networks.ipynb)\n", + "15. Autoencoders (coming soon)\n", + "16. Reinforcement Learning (coming soon)\n", "\n", "## Scientific Python tutorials\n", "* [NumPy](tools_numpy.ipynb)\n", @@ -39,6 +49,15 @@ "* [Linear Algebra](math_linear_algebra.ipynb)\n", "* Calculus (coming soon)" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] } ], "metadata": { @@ -59,10 +78,14 @@ "pygments_lexer": "ipython2", "version": "2.7.11" }, + "nav_menu": {}, "toc": { + "navigate_menu": true, + "number_sections": true, + "sideBar": true, + "threshold": 6, "toc_cell": false, - "toc_number_sections": true, - "toc_threshold": 6, + "toc_section_display": "block", "toc_window_display": false } }, diff --git a/nets/inception_v3.py b/nets/inception_v3.py index d5a1fe378..2897a4b49 100644 --- a/nets/inception_v3.py +++ b/nets/inception_v3.py @@ -94,7 +94,9 @@ def inception_v3_base(inputs, raise ValueError('depth_multiplier is not greater than zero.') depth = lambda d: max(int(d * depth_multiplier), min_depth) - with tf.variable_scope(scope, 'InceptionV3', [inputs]): + #Backported to 0.10.0 + #with tf.variable_scope(scope, 'InceptionV3', [inputs]): + with tf.variable_scope(scope or 'InceptionV3'): with slim.arg_scope([slim.conv2d, slim.max_pool2d, slim.avg_pool2d], stride=1, padding='VALID'): # 299 x 299 x 3 @@ -470,8 +472,10 @@ def inception_v3(inputs, raise ValueError('depth_multiplier is not greater than zero.') depth = lambda d: max(int(d * depth_multiplier), min_depth) - with tf.variable_scope(scope, 'InceptionV3', [inputs, num_classes], - reuse=reuse) as scope: + #Backported to 0.10.0 + #with tf.variable_scope(scope, 'InceptionV3', [inputs, num_classes], + # reuse=reuse) as scope: + with tf.variable_scope(scope or 'InceptionV3', reuse=reuse) as scope: with slim.arg_scope([slim.batch_norm, slim.dropout], is_training=is_training): net, end_points = inception_v3_base(