{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# AutoPandas\n", "\n", "\"drawing\"\n", "\n", "

Process, visualize and use data easily.

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Table of contents\n", "\n", "* [1. Read data](#section1)\n", "* [2. Processing](#section2)\n", "* [3. Visualization](#section3)\n", "* [4. Benchmark](#section4)\n", "* [5. Comparison](#section5)\n", "* [6. Generation](#section6)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import autopandas as apd\n", "%reload_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. Read data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Easily load CSV, AutoML or pd.DataFrame.\n", "\n", "apd.AutoData is a subclass of pd.DataFrame representing 2D data frames:\n", "* Examples are in rows\n", "* Features are in columns\n", "\n", "You can load a dataset in CSV format by calling `read_csv` method. It should automatically detect the seperator." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "input_file = 'autopandas/data/wine.csv' # wine, adult, diabetes, iris, mushrooms, seeds, squares1-2, titanic, boston\n", "data = apd.read_csv(input_file)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also load some toy datasets from `datasets` module" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data = apd.datasets.load_wine()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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fixed acidityvolatile aciditycitric acidresidual sugarchloridesfree sulfur dioxidetotal sulfur dioxidedensitypHsulphatesalcoholquality
07.00.270.3620.70.04545.0170.01.00103.000.458.86
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" ], "text/plain": [ " fixed acidity volatile acidity citric acid residual sugar chlorides \\\n", "0 7.0 0.27 0.36 20.7 0.045 \n", "1 6.3 0.30 0.34 1.6 0.049 \n", "2 8.1 0.28 0.40 6.9 0.050 \n", "3 7.2 0.23 0.32 8.5 0.058 \n", "4 7.2 0.23 0.32 8.5 0.058 \n", "\n", " free sulfur dioxide total sulfur dioxide density pH sulphates \\\n", "0 45.0 170.0 1.0010 3.00 0.45 \n", "1 14.0 132.0 0.9940 3.30 0.49 \n", "2 30.0 97.0 0.9951 3.26 0.44 \n", "3 47.0 186.0 0.9956 3.19 0.40 \n", "4 47.0 186.0 0.9956 3.19 0.40 \n", "\n", " alcohol quality \n", "0 8.8 6 \n", "1 9.5 6 \n", "2 10.1 6 \n", "3 9.9 6 \n", "4 9.9 6 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Keys:**\n", "* **Row**: train, valid, test, header\n", "* **Column**: X, y, categorical, numerical" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['residual sugar', 'total sulfur dioxide', 'density']" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# show index entry for 'numerical'\n", "data.indexes['numerical']\n", "\n", "# try also: categorical, X, y, train, test, X_categorical, y_test, etc." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Get a subset of data" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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fixed acidityvolatile aciditycitric acidresidual sugarchloridesfree sulfur dioxidetotal sulfur dioxidedensitypHsulphatesalcoholquality
07.00.270.3620.70.04545.0170.01.00103.000.458.86
16.30.300.341.60.04914.0132.00.99403.300.499.56
28.10.280.406.90.05030.097.00.99513.260.4410.16
37.20.230.328.50.05847.0186.00.99563.190.409.96
47.20.230.328.50.05847.0186.00.99563.190.409.96
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" ], "text/plain": [ " fixed acidity volatile acidity citric acid residual sugar chlorides \\\n", "0 7.0 0.27 0.36 20.7 0.045 \n", "1 6.3 0.30 0.34 1.6 0.049 \n", "2 8.1 0.28 0.40 6.9 0.050 \n", "3 7.2 0.23 0.32 8.5 0.058 \n", "4 7.2 0.23 0.32 8.5 0.058 \n", "\n", " free sulfur dioxide total sulfur dioxide density pH sulphates \\\n", "0 45.0 170.0 1.0010 3.00 0.45 \n", "1 14.0 132.0 0.9940 3.30 0.49 \n", "2 30.0 97.0 0.9951 3.26 0.44 \n", "3 47.0 186.0 0.9956 3.19 0.40 \n", "4 47.0 186.0 0.9956 3.19 0.40 \n", "\n", " alcohol quality \n", "0 8.8 6 \n", "1 9.5 6 \n", "2 10.1 6 \n", "3 9.9 6 \n", "4 9.9 6 " ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# calling the object itself is equivalent to calling \"get_data\" method\n", "data('header')\n", "#data('X_header') # five first rows of X (examples without the class target)\n", "#data('categorical_header') # five first rows of categorical variables\n", "#data('numerical_header') # five first rows of numerical variables\n", "#data('y_test') # test set of target\n", "#data.get_data('y') # the target variable" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Set the target variable (class) if needed\n", "\n", "You can set a continuous or categorical variable. AutoPandas will detect if it is a **classification or regression** problem.\n", "\n", "You can also set a **list of targets**." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "data.set_class('quality') \n", "#data.set_class(['age', 'fnlwgt']) #['income', 'gender'] # multiclass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Split data in train and test sets\n", "\n", "When loading the data, train/test split is done.\n", "\n", "You can re-do the train_test split with different parameters if needed." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# data.train_test_split(test_size=0.3) # already done automatically" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_Remark: you can also define train/test sets by hand by calling the index_\n", "\n", "data.indexes['train'] = [0, 1, 4, 5, 6] # indexes of train rows" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Descriptors" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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taskshaperatiosparsityclass_deviationcategorical_ratiomissing_ratiomax_skewnessmean_skewnessmin_skewness
0classification(4898, 12)0.002450.0003230.8856390.750.05.0233311.2050350.155796
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" ], "text/plain": [ " task shape ratio sparsity class_deviation \\\n", "0 classification (4898, 12) 0.00245 0.000323 0.885639 \n", "\n", " categorical_ratio missing_ratio max_skewness mean_skewness min_skewness \n", "0 0.75 0.0 5.023331 1.205035 0.155796 " ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.descriptors() # AutoPandas descriptors\n", "# data.describe() # Pandas describe method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2. Processing\n", "\n", "\n", "Parameters: **method** and **key** (targeted set)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Missing values imputation**\n", "\n", "Different methods available: mean, median, remove, most.\n", "\n", "Imputation with a predictive model is currently being tested." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "data = data.imputation() # mean, median, remove, most" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Encoding**\n", "\n", "Various encodings are available: label, one_hot, likelihood, target, count and more." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "data = data.encoding('label', 'categorical') # encode categorical variables\n", "#data = data.encoding('one_hot', 'categorical',) # one_hot, likelihood, count, target, etc.\n", "\n", "#data.encoding('drop', 'numerical') # simply drop numerical columns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Normalization**\n", "\n", "Min-max or standard normalizations." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "data = data.normalization('standard', 'numerical') # min-max, standard\n", "#data2 = data.normalization('min-max', 'numerical')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "fixed acidity 0.000000\n", "volatile acidity 0.000000\n", "citric acid 0.000000\n", "residual sugar -1.137952\n", "chlorides 0.000000\n", "free sulfur dioxide 0.000000\n", "total sulfur dioxide -3.071440\n", "density -2.305332\n", "pH 0.000000\n", "sulphates 0.000000\n", "alcohol 0.000000\n", "quality 0.000000\n", "dtype: float64" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.min(axis=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Synthetic Data Vault\n", "\n", "Apply encoding and decoding processing method from the paper \"Synthetic Data Vault\" by Neha Patki, Roy Wedge and Kalyan Veeramachanemi." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# encode\n", "sdv_data, limits, min_max = apd.sdv.encode(data)\n", "# do something\n", "new_data = sdv_data\n", "# decode\n", "data = apd.sdv.decode(new_data, data, limits, min_max)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Dimensionality reduction**\n", "\n", "Dimensionality reduction methods: PCA, LDA, T-SNE, random projection, feature_hashing." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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00.00.021.00.122328-107.0-24.0-53.25119473.00.0-0.231197
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30.00.025.01.174023-21.0-23.0-78.67330744.00.00.179461
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" ], "text/plain": [ " 0 1 2 3 4 5 6 7 8 9\n", "0 0.0 0.0 21.0 0.122328 -107.0 -24.0 -53.251194 73.0 0.0 -0.231197\n", "1 0.0 0.0 28.0 -0.064640 -14.0 -35.0 -91.528835 16.0 0.0 1.000778\n", "2 0.0 0.0 17.0 0.706603 -21.0 -27.0 -99.448201 31.0 0.0 -0.485414\n", "3 0.0 0.0 25.0 1.174023 -21.0 -23.0 -78.673307 44.0 0.0 0.179461\n", "4 0.0 0.0 8.0 1.431104 -34.0 -28.0 -98.520437 134.0 0.0 0.003464" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#data = data.reduction()\n", "data.reduction(method='hashing')('header') # pca, lda, tsne, feature_hashing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. Visualization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Class distribution" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y set plot\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data.plot('y') # alias data('y').plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 2D PCA plot" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# for class coloration: c=data.get_data('y')\n", "# class is used for coloration by default but the dimensionality reduction erased the class column\n", "data.pca(n_components=2).plot(c=data.get_data('y'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### T-SNE" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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P9CFpNnLBIoHAz9btYn57PW5ZZnld/UnPed+KFXS3x9ndOcgz+7qwVIOJ4SINgRBlYR/hoIdAyENDrAwrotAbT1LERlQs8qk8T247yLHROPe+/2Lmt9SSK6qkckUsy2bLwT6GupP4Awaeco2wx4uvAtL9RYYmx5ks5rhh4Wwqo0Gqyl6rINMCH+StD+z4fSJuD6phohomQbeLVEkl5vfxt4tu5qH+5xkvpqjzlhFUPBzKjKBaOpfEZvD/tF97zmIA6OgbZXgqTWU0gG3BsdEJSpqJxyWT1VXyCR1LsPCbLlxFCcNts6Wrh4jswRNSmBYqozeZxDYEFLeIqAgEDDeC3yRky8yTK+gbi1MW8BLyvzPX5hznHydxOc5rpmUxMJ6krjyEbloUVZ2Pf+KyE48XdB1scNsSbpeCZpYwBBvJJeFGIJUv8quOI8gukQ/Mn03AdXxEQsDlYkF1DWbG4Gfrd5O1NDBheXU1xWqZidEUq1bM4H1XzuPRIweZ3NGFms1j2WBnLSI+LwVVY/fRYaZVRnns5f2UNJ2JQh5P4PgxJF1CsiSmMlnsMQVZ1TFEm0SiwICZJVkqUub1vSOv258sWEhOUxnJZvmrVWu4uH4aeV3lP/fvo6rUzJ/OaGNNQyuSIDKYixNyeQi7/Ofk2JZ1vA0nigICApppsq97hFyhRFCQET2QDGrYkoRiS7iyNkXbxDIsFF3B51FojpbR2R9ndm0lo7kcQtFGLniwBZtYs5v2SDVdh3TWTXaxc2iYyKZ9fOx9y1ne0nBOzsFxfnMSl+O8Joki02vL6RqaBGBx28ktp9pgiPpwiG5Vp7YigietkimptFTH+ODlC/jSo7/iSCqBbVls6u3jgVtvQPyNC/m1kRCRokR5IIxPFihNqHzlizegaQYu1/F/j8CUj4aqCFrBoGgZSIpNNOjDtCymVUYYiacpajoJqcTB4iSFko7ttSkmbKy0iCALiLYAfpuysBdBO979WdB1yrzn/jXrik/x4K5XMSybTy5dztzKKgD+v1e3sW1oAJ/LxQ927mNZ1TSCbg8NgXNXfLdnJM7/vLiHRK5IY1MZM1sqwYaxRI5qycPIVA6lSsSQbWwEDA/4dBlFtZnZWoUr6iJZKNJTjNMkhVlW1YBUgI0DxxBlEc+4l/919bV8c9tmDk3FsU2bsXyWcFZh4Kcb+OrdV7N0Wv3vD9RxQXMSl+O8d8XiNmbUVyAKAtMqoyc95pIkPjR7HpnpJTwrJTBAViQsyyZdLNH3UhqPIpErGuzqH+aXXZ3kdR23JHN5cwvlZQFmNVYzMZTEsmH2quNfeq8nLYCl5TVsUY/g98k0GwEuu7Sd8Vye6bXlXDq/hclUDt2yOJKZIury4EIi2uhhKJ+gqOq4kNFNHVG1KeQ0pjWU0VpRTpX/nSlp9O1tW0mrJSRB5F9e2cwPb7gFgNFcBtO2sW2bom6QUbUTIyTfrng2TypTpLGqDFk+PtLDtm1+vuUA/RMpjqXjvHisG49PwW+58GoCVhZkScQaLdFQHiTtszANizVzmplM5qhvKafc76PS8PDjX+1EEKB/JMGM+hjVvgDhoJd4Is9/rH+Vrtwkhm4iZcGQIB80EdUiO3oHncT1HuAkLsd5T5EkWmrevFUgi+IbXW6/UX1JkATqPAH2ZyeQEGgIhnn88CGW19WjmSbPdh/jQ3Pm8uf3XM72fb0E/G5WLGg55fmjpouLqcJf6yafKnJRUx3ts+tOPF5bHuamS+Ywsj1Hx+AYyWyRBm8QsBFEAdXQsQVQRBs/ChHDxdVNrSdKHZ1rBV3DrUjIoki2pFEq6RwcHEfI2Yxnc4wJML+yirozXKHhYN8Y3/nFJjTDZEZdjC98eC2KLCEIArZlU1BVkukCaFAoaahuA39JJJ/QWbpgGrpqoNT6McIKgbxEucuH0QhHklMs99ax49AAqm7g97jIFlQEQMubHItPodkGo6kMqs9AKYGogWKDJVkUvDqaZP/e+B0XPidxOf5ouRWZf7rzer7y1AZytoZQZjBaSDCpBajxlJHVVADKw37et3ruKfuPxNP0jyfpGY/z2GgnlmbRlPdxyWWn1vtrri4nl1HJTZYQDZve4QRRnwcEAZdXJOB1Y5g2bq9MLqvSMxynrP3cX9+ybZvpDQpPj+4Cy6ZFqOeT//oY8XSBEgbzG2PMnFuNxJlP2n1mZycCUBcL0zU0Rd9Ygrb64+Wubl29gAN9owgG2AJggClYRCpDKJJGOldixYxGKmZW4HYrTExkGNSzHIiPUxMM8kz3URrEIC5FoqAeL1G16+gweVWjqGrIHhG/7EZXLQzNRnQJ2KqFyxDxuhQKGfUcvIqO852TuBznvUJJo3skTmU0QFU0+Lb2rYwE+Kfb38+jXbs4kh3Fn3XxzNFjBGQvVzROZziboS54astjMp3jF5s7GE1keGbyGIKt4woqDIYNdh7uR6x1U+7zUfvavpZtk8oWiXg8FHIqmq0TDXixbPCFXCQLBVKZIhViANEnUFX29s7jrTqWHeWFqb0gG9gq9ORHCKVMQooPr9tF/1CS1jlVZLUSd/3iMZrCET57yUoinrd+sa06GmJv9yjx1+adhQJv7NtcU8Zf33Eln/veU6RLJSzLQpJEJI9Ew8paZsUq2bpvkNSv+xnJZiiL+Cmio5ZDczSKKIjMmBajQvQxlckzo76CZ3cdoTIcwLJt8rqK6bGJSF50TGygJGi4Iy5iZX4qpHdmsIvj/OIkLse74oU9R3ngqS0ooshf3X45i9pOf12iUNL42k83MJbIosgSn71lNTOnVb2lY9i2TTZTwuNVmFdbxXD/JD39WYy0wbCQ4VdGFzY2X1y15qQBGwCpXAnbtlF1A2QBRTxexaHkMnhq4hgdr2apKQvxkbnzaQiHEQWBG5fM4d/WbSGXUcGCvvEEkiSxpqaF5TMa2Hd0hNbqcq5bPouGinem6vlIIY1q61AQsVMStiVg2ibZoorPUqiuDBLz+vjl0BEq/AE6Jsd5/OBB7lmy9C0f4+ZL52HZNiNTGa5eNoOq3yhllcmVeOjZHQgIBFxuls2oJxz00j6rioqQn1f29pEoFtEVi6ylIskyfllBsGAwk2FuVSX/16qLKKkGblliYCLJk7sOMjyeQRIE5jZXs6CtlpbyMpoqyxkYT3B4cIKSYeB3u1g63bm+9V7gJC7HH1xJM/j6fz1HQdOxTJsv/Mc6NvzjJ09btufI0ASjiQx1sQjjiSwv7+95S4nLsmx+8D+b2XFkgJDPwydvX4mn4GFiIE/GMsCGSTHPC329fGHl6uODFuBE8dbqsiA+jwtREKix/ExUFDGysLi8Gj0oYJdsXJLEYCZFXTDEi/uPMTyYpNoVIO2XSGSLKKKIyyWTyhdpE2IsmV7PnZcvJuhzc2RwgmS+gEdxgW1j2RaiKDGnsQpFPvNrX7PDdcTcQUbjeQSPhVJyUxEM01JZxv7cBKmIwSMHD2DYNnXBEKIgoNvm2zqGx6Xw0SuXnPax763byq6uYdwuGUM3UXWTa5a2M6+php8fPsivh46SyhWQXCaRQIGQr0imFOPLF13O4lkNBN3HL1J6leMrS0/oeVTJJBR1UzJNmltjfPr9b6yqPr+lhmuWzWRoKo1LlqiLhc/wlXNcSJzE5XjHpEtFxvJ5GsMRPPIbHzXNMChqBiIgySL5gsZoIktt+alddpXhIDbQP57AsmzqK9/aF1Pv4BSvHhmgpjzEZCrHc5uPcMmiGRwtzzGeHEDUbSQkPLLMUCbNk0c6sWyLa1tnMDNWQdDr5vbLFjKezJHOF9Eti4P940xmcuzNjkEQDMtkWjjCRCrHwb5xIn4viiwhSSKiAKIkIEsijVVRPG6F6xZMJ+T38PyhY/xg+w5yqoY7L1Ih++ibSBALBVgwvZZP33zpGRWO1U0TI2vxYXUFv7QPYAgic8ONtEyrYnp7jO5XtlIfDjOaSSOLEiPZLLXBIDfNPHcTnyfSOXweBZcsoukC1yydwUQiy9+8uI9XM8PUNYSJyjKKZzfT6nKEIiplXMbqBdNP+8PFMGxkt0Qs7CeeyWOY1inbKLJEc7VT8um95KwS1wsvvMADDzxAoVBg1apV3H///WzdupV/+Id/QFVVrrvuOj7zmc+cq1gdF5CeZJyvvLiRgq7TGA7z1bVXnpj8G/J5mN9Sw44jgwBURfyomn7a53G7JCRRZCyepSzoZXHrW5tg6vHICIJAoaihGxZer4uElKUoZIlKMnnJwu9xcVvrPH7RcZDu/imKJYNkqsiXr7kCURDweVw017zxhTivqYa+8QRXmW3IXpmg20VtMMSRwQm6R6aIBHxE/B4CXjdel0Is5Keo6nhcCvFMgclUnrpYhOe6j+FxKWTFLKO+NLlhP6LkRnDBjqMDpPMlyoJv71pNrqjyiy0dbHxkD2qqRDjgYdr8alZdMZMFLbWotoFXkRlIpbAFuG/xUuo8Icr8PqKBc3dd6Npls/jxM6+SK2ksaavHpch8/5fbiPg9qEmdLqaoqzOY3RynLdqKbuUo9yTRTZNfHesini9wdWsrDeHjXamrpzexqKWOfb0jlIX83LPqrXdpOv54nXHiGhwc5Mtf/jKPPvoo5eXl3H333bz00kt8+ctf5uGHH6ampoZPfvKTvPTSS6xZs+Zcxuy4AGzo7qZk6DSEw/SlU3RMjHFx/bQTj3/oqoV0qlOAjeR3kcwXaf6N/U3L4v9s2s5zB7vJF4ssbW9gaCLFvp5hqst+/yq+dVVRbrtmMRu2dTK3tgalyc0Pjm1h0lvA7bdoj0WoHqphw4ud9MWTIIPHqzAykSZ7aYmw34thWIgiiK+1fjwumZkNlUxl83xv8zbGSnnm1VZhTBrEwn4GJ9LMnFbBbWsWMZ7OMpHMsa97hGmVEY4cGuH5+CFaq8qZVh7haGqcjJJFK4oUAyp6xkBPmng8Ml3JKS4KNLB9aJAXOrspJTWum9vOitlNb3q+PaNx4oksWqaEEnIRDHgpDOVYPe+N4f1/u2otm3v6aK2IsW1HL/v7RtFMkxsvm8tNy+bhls+uA8YwLVpryvnCbWtxyxIHesZ44MktDEwk8QfdiCJIGth2gIi7DIs4omRR423n4f17WdfViSxJbB0e4DvXXk/A5UKWJf7ltuspajpuWTrxXjje2874k7phwwbe9773UV1dDcC3vvUt+vv7aWxspKHh+K/iD3zgA6xfv95JXO9BVf4AumkRLxQQEYh5Ty4n1BNPoNgiAY+bkqbx/NPbMGdNZ/GV85FkiZ9t38fDO/YiGpA0ivjHJvCJLsqDb16WSLcMBFvgaOcohbzKigXNXLFiJnlN47vbt5ItGEh+HcuSmEjnyExM0BatpH88gWnbhGJuZFUgU1DZfWyE/3p+F7IkcsvSOeRtjV9P9hDwewgVFA6lJgkrbrZ1D1AjBllUX0NdLEw04KM2FqI2FsIwLTKFEi+/cJi+znECHoVvDWa57wvXErcy/KoniV9UIGJR7fMzzVVBTUOIqVKBkVyWpzs62fzSMQoFjee2dvHxa5bziesuOu25+9wukEUC5X7ioxnchsCatbNPPD6VzvHvj29lKJVGFyws1cLjU0gVVH7+ykHCMR/XtbWf8futaSZf+I+n6RyYIORz84XbLuP5vUeJRf2MZjJkMiWkgMjK1hbmN9eSytcwt8bEo0Rp9l/Ew1PPEPF6iXi8DKbTxAv5Ey10AK9LOePYHH98zjhx9ff3oygK99xzD5OTk6xdu5a2tjYqKt5YvryyspLx8fFT9s1kMmQymZPuGxsbO9NQHOeh69tnktNVuuJxrmhqobX8jQnEum5y+KVe7P4cKTuD5bOpqC9n74sHCUT9VM+u5+ntBykUNDyCjCSKZEoqN1w6h6Xtp3YV2rbNtqku9iT7GducZGDDFJZu09gc43N//QGCYS8Vfj9uPBStLD7JRbk3QBHoGp7EtkCwQCmIzG2uxjbh24+/hM+t4NIEfvCjlygETBS/i9S8AOlkiepIEFmSyKk6c5qqGJvIosgiy34jPlkSuWR+E+seexWiEnZQYf/IKEZRZ0mkkXXZw6huFaMoMr8uRl1FFEGAORWVWJbN+GSGUsnA5ZLAhOd3H+WjVyzB4zr137alppzVc1uoi+/SV0EAACAASURBVISwkiWaa2MsXvZGa2vroT46pyZJSSpqVsetS7h0Ga+oUBHxM5BOn9X7vfPoIJ0D41SEAySyBR5/uYOqaJBDg2PYto3LJWFb0HF4lFDIS4O7nN27YNRIoVRspC7ipzeVJKOqTI+WURdyBlmcC7quMzQ0RKlUerdDeVs8Hg/19fUoyul/sJxx4jJNk507d/Lwww/j8/m477778HpPnQtyuguuDz30EA888MCZHtpxAZBFkY/OX3Tax3Yc6ONA7whFP8gFqBjUKJvtJ55VKeVVfrnxAOaIiq1YZCSVmNvLVbPa3nSdqpSeZ3eyj2pPmJe3H0I3DRRNYt/ufv7zh5v40B0Xc9uc+ZR5vLwwegjcGqvrWlGCfn72wh4Wz6hD89gUZZ3mOTF+ueMQNlBQDVLJIjG3AkEBsWThMgXKIz6qRR/jaoFr2tu4fekCCiUNWZZOahmM53L87PABsuVQPFpCUW1cMQ+CR8YsmnhLXnyiQr6osyRSy9o5bfhdCmVeH5Zts6SpngN7RjB0C0WQqIoGkKTTL+EhigKLZ9SzeMabDAdXBPKmjlrSsSwbKSgQFF2UxQLUNEdYXFP7lt/bzsFxsKG9ofLE/7fPoyCJInlVxzAtykNeblgxl889+BSaaqIbFsGQG68u489I5CgxrCXZNtSDPWzhqRC5vmkpS2oaWFhVfWJ0p+PsDA0NEQwGaWpqumAW27Rtm3g8ztDQEM3Nzafd5owTVywWY8WKFZSVHb94fcUVV7B+/Xqk3yhjMzExQWXlqev73H333dx0000n3Tc2Nsadd955puE4zhNqUWXT49sZ759gzsqZjDe4+en+fQTdbj634hLKXX6e2n8YXbSQ8oAN3rYIU4Nx/GUBpi9s4rn/3IQ6UaBKksiIBjPnldOXTrEA7bTHlAUJEYGSaaBUSJRGdcySjtujoLgkuo+Nc8ml7dw8ey43z36jQka2qsR4IkfeVNkeH2ZJbT0HJseJj2VZPquBPV0jSEE38yNVTKoFOvU4igKfXbWKtnA5gijgUWQsyyboO7Xm31gui2nbLL9sBs8LB9EKAjPn1xD2uFk8vZ62V6Kk8yWqZB+rZ7bQEH6jlSEKAn926UXUuYP8cushKqIB7rv+kjMuE7ViZhNN+w/S2TeOHRao8Pm5Y/o8Lr6kDUkUqA68tQnRP31uF8/uPopt26yZ38I9r3Vdzm+u4eaVc9m4v5u22nI+ef0KDg9MEPC4AYHJdA7JEJARiPn8ZAsqKb2AadsEBQ+IOkP5FJ+svRjXO1QK672oVCpdUEkLjjd2ysvLmZycfNNtzjhxrV27li996UtkMhn8fj+bNm3i2muv5cEHH6S/v5/6+nrWrVvHLbfccsq+oVCI0BnWSXOcn3KahmEa9L/aS9/BQWJ1ZWx5dg/PzxGoDAdIFgs8uGsnn1lyCaYL9HY3rkkLOaxw7ftX0GQH2dM3ypO7u/AGPBRlkCSJoCxi+KF1ejl7k2PMzlRR/xvdSEVdR7Alrqiex654D+//8GL2lvoZ6J0iXQG/OHKIqRqbSzh+/ean+/eyaaCf9liM/3vpRdxwyRxeOdrPmFJEFU02dvfiNkXGx/NcsWg6N6yYi2JAIa8SjvkJBjy4XhvEcGRoghd2H0MQ4eol7SfqKVqWTffoFPFkDlM3KcZLBLsNYn4/xa0JuueP0dpWzefev4qu8QRBRcZIaySVHNGyNybzCoLABy+awwcvmoNl2QxPpRlPZt929RCAioCfz1+3mh//8hXMkkmLHWJxW8Pbrlf40v4ePC6Z4VSaRzbt47L505leF0MURT7x/hV84v0rTmxbUxZCFEU03TiRjFprY9y4cg4dfWOM7kshuwSKwRJB2830UAWK09I65y6kpPW63xfzGSeuBQsW8IlPfII77rgDXddZuXIlH/nIR2hpaeEv/uIvUFWVNWvWcO2153ZhOsf554nDB/mXbVsxbYvV3kqaBZv9qX56ExPk9FqqhRCiIGLbNr25JHtL42hegVKDxB0L53JdSxv//cJeKiMBkrkiQ0YBMSDjlxQEr0g06qc+FmEonSavHx82PziZ4l9/vZnDuSkaa8q4a9liPtK8EoAbvraMr/xyA337u/FH3KxLdXPV8CCyKPF45yHKvT5e7uulKRJlaWUtVeVB1kZa+P6eV9FNk5DfjRq0WbN8+ptWuLBtm6dfOcRoPI1lgaZb/OVNqwDYe2yYTQd7kAQROW8i9hUJlESamsoYG0nS0z3Bnj19HBuaZPfIOGLOpDLs56JZ0/jATUupqDw5mfSOJvjfj71E9+gUEb+HP716Gdcs+/0jK3/b3Jpq/u4j72N0JIU/4Ka65u1X74iV+Xn28DEswcLlkXlyVwcfEueh5VWamqqQXps8XVA1NuzvorW+jIBXYfa0aq5d3s7MhuOTx1fOaWZ5+zSOpSbZPtpPtTfMJQ3NF+SXrOMP76zGv956663ceuutJ923YsUKnnrqqbMKynFh+d6uHbglCUV28WJ+jGTEord3kKpZYVzlRfrjk3g8Au9rX8jzvd1UhoO0VsSYKOS5dsYM3IqCIByfQDuayDCWzlFXFyWbV2ltiNFYX8FwNkN1IEBjOIyqG/zk2R3smRpFliWGR1L8qrOTxbW1yKKI1+vCDAoITW58Xh+5fJ5kqURAOT5Kza/IJESBYxNT/HzHAXTTIuzxUB8IM1koUDQMbGxivjcfwSgIAgMTKQzDRNcMuofe6NYYnEoT9nnxSBKbt/TRWlVGTtN48Vg34aCXvUNj9I0nmCqVQDVxI5DQVPIlnZHh5CmJ65ldnfSNJ5AVkYFkmn9+6iVKtkl9NMyi6bVva4i4z+9metubVx7ZdXSILR29NFeXsWDW8eeufa3CBsCSJY1sGOkmKHrQgza7R0bo+nY3pmayqL6CT/z59ViSwF8/+yy7eocJ+TysbKhn5dymE0nrdYosMStWzaxY9VuO33H+2b59O1/72tdYt24d3/nOd2hsbOTGG2/kgQceYObMmVx55ZXn/JhO5QzHWfMqCvF8HtO2UC2LRLsPrakWJRbGk0mjBDU8isLPj26jLdJMacxgeCpNvFTku9tf4S+WXExZ0Me+nlGmUjlM08Tv99BUU8baha1cNKuRnKYRdLvpmBhn98gIA4UMHklBFy2Kpo7P5UL6jV/rdy9czL6JMSYKedorYlzW2IwNzK2o5NDkBDWBED5LxrBsGsJhBpIJwoKXKsGPP+RiWiRCme/0E3Mt28a0LNpqY+zc3UupoCKF/CTiOcrKA7Q3xHh211GmCho+l0JC0IiHTDwuhXSbTKeUplxSOJZLULRNAiZES25kQaSy6tSuO7cso8gio6ksNjbZnMm3f/4yDdEwVyxq4+6rl/HfHfvZPjRIzOsjpChIqsjFdQ0saq17y4mtdyzBA09swSVLPHP0KI0j5TRXlzGnsopEIU9O12gIR6huiqCpBhgGQsbAZ9p4y4McGp5icnCKTSMj7OwdRCmJ5MQSnckpbvXNP6PPluPC8qlPferE39u3b6e1tfUdOY6TuBxn7Str1vK1l1+kYOisiFXQWhnh18f2090xRdBUCLTKlCkhErkss9uj7BuepGN8DL/LRW8qydef28jqaCOmebySeHUwxEQyR1VLiMWt9SiShG3b/N3659k5NMTC+lqEqERZwUNcK7Jgei1/unjxSd1M86qq+cVtHyVeyFMfDJ0YNPSVNZeT0VQCLjevHB3gpd5eRjIZEukSpYRB3tAwcwYfWbn6tBNyJwt5Hj90kCP7hxjqTJAt6bTXV9DiC9LVOcrFK9torakg3lZAEgSOCm7++5mdaC7INwhYqKjjCQTVjy0JxIJ+VN1k5aIZrF4+k0PjUyR1jdmNb7ROrls+i1ShyGPbDhAMuMhmVBRFojIaYMeRIWbNruHRjgN4XQrP9xwjmFKwUibP+Du5cfkcPv4mc79+20Qyh23bxCJ+upIJRANqgkF+vHcXhmUhiyIRj4ePLVzI7rExFlbVMLxzhAMDPRQyeaKSxFApxat7jqJO6RRKFmJQZP7KGlrrTj8i9HS6E3ESpSJzKqrwvclwaMfZ+853vsPTTz9NNBpl6dKldHR0UFdXR1tbG/fccw8Af/VXf3Xi9saNG/n+97+PpmkkEgluvPFGPv3pT5/0nK9v7/F46Ojo4Jvf/CaapvG1r32NRx555MQowY997GPceeedZ9wacxKX46wtqK7lsQ/fgW3bPNF5mCOTk8QSYWpkD73FDB3DKUQ5R9TnQbLcJEoF/IoLSRCJFwoEZYWKsJ/DAxMMxzOUqV5qyoN89IrF+DzHu/ce3rGHPUMjpIolXj7Wy9r2Fq754EKW1NbhdZ/+yy3gcp00iRWOV8F4fQmPVTMaAZujU3G2Hu7DLcsEvW6GplJU+05dnVg3TB7dsZ9dB/vpenUUXQTbgpHRBLOnRwiHfZimxf9+7CUOD4whiiLL2+spa42iBVWGc1mkLJRUm/1KEpdfYk5DGaMTOTwRD//27HbyxeMjJ++74RKWtx+vNFJdFuQzN6+hubmcx/Z1YPSk8YsK44kcy9obyGgqCCAJIpZlY2ZN3F4JyS2yrXPgLSeuWY2VVEYCjEylCSoughEPw9kMqmFQGQjgVxSGMhkua5rOjTPnIooCmabp/CrgIzeVYWp2kS8O/4yCIiJYftyKgrskc/X0NkTxrV27evTgAb6/eweKIDKnsoq/v+JqZ5ThO+DZZ5/l2Wef5YknnsDtdnPffff9zu1t2+aHP/wh//iP/0hTUxPj4+OsXbuWu+6667Tb33nnnaxfv54777yTa6+9lgMHDvDoo4/yxS9+kYGBAXp7e1m7du0Zx+8kLsc5IwgCH2ifyaxIOZ6DJcSIQp+Rx5vw4gkpzK6vIVXQKPP4yPk1RnNZyr0+bp4+i9F4hmyxxGULWvC89iv79aQFkFVVSoaOKAjkNI3xXI5FdbVnVVFBEAQubW/m0vZmPKLEuh2HSeUK1MciRP0ndxOOJ7N885GNdAyMkc8XKUoWiCBKInFNZe7SRmbMqmEknuHw4Di15SFSeZW+0SQhxU2uJ084Z+OzBeLTTFyChBSUeLVviDBuNuw6iiDAzGlVTCSz7D06fCJxve7GRXNZO6OVTL7Irq4hFEXi8oVtGJj8+miUnlSSgNuN7LLQSiaCBDU1QfIllZyh41MUepIJHtq7h3Kfl3uXLKPC/0aCDvk8fOWuq+kZSxANeRhTCwwkk+imwY7hYbSSSZ0nwM+e28POriHKQn4+ddMqbr/l+KCUa5//Oh5ZwRBAdWu0mOUoHtdJBZbfjG3b7Ooe4t+2bEeXLES3wsHJCQbTKaaXvfnq144zs23bNq666ioCgePv/2233cZDDz30ptsLgsD3vvc9XnzxRdatW0d3dze2bVMsFt/S8e644w4++tGP8pnPfIaf/exn3HrrrSdNnXq7nMTlOKdkUWRmTRXpBS08t7uTyYk8JcWmFFeZChRoWVTGR+ct4MmuTlY1NnHv4mVU+PxMpnNMr4lxbDSOadss/a2JtDfPm8OGrmNIpkCbJ0pzpAz/b7WmzsbtFy2gKVZGXtO4qKUBWTr5utC/PbWVw33j6IaJLYggADYIIkg+hcWLmpAkkUjAi9elMJnOU1J1AimTuZEoajKFGPSTEQxMXcVSbCzJxBWSafUfP2/dMPC5XQiCSEtNGT96ZgeZXJH3XzyL1roKJvM5vrF5E0PZNFe1tHLP4qUUShq7u4a5uWE2YjO8cqCfASFJIllAU03cLoW/eeRZyhsCiJLAL7cfxsgZyD6ZkqbztSuvPuk8fR4Xc5uOD5Y41pvgpx37ji/3UoJpYoRy28uTWw8yu7GaZDbP45v286mbjy8z4pXcJPUcrkYRUxPxGx7WLmhjRn0Fv4tumPz701t5qaMHw62S81lYtk2Zz3tSYnWcO263G9u2T9x+vUKFIAgn3a+/Noq3UChw0003ceWVV7J06VJuueUWnnvuuZO2/V2am5tpb2/n+eef5+mnn+bRRx89q/idxOU45wzLItoe5aLITLb9eooyl0jJ1PC81v0jCgJrmltO2qcqGuTaZTMZiacRRYGaspMHKcS1Ak3hED3HEpghm8JYidFE5pTtXrfzyCAH+saY11R92jJRv00URS5pawQgWygxlc5THvKduG42nsxSEQ2SSOfRdJNoxAeGTTDgYVpN2YnuyqDPzWdvWc2vd3TisQXssRLRsA8rUySQsQhVesnrCnm3hZC3sBMGexhGkURCfi+NlVFWzm3i8c0HGJpMUxEJsO3IIJqmkygVcTe4aW2u4NfHulhR18Bjz+6jeySODYT8blbMauSVzn6mkjlcssy+vhHytsYst0hJMMglS7hKUMwaHO45tRzbb9o00I9XUYj5/Lw61k+/lkYQQJAsNEPHtGyk30jwX55/K984+CSaYvDJD13J1bUL3vhMmBYb9nUxnM0wt6Wa2ZWVhNweNN3g8Zf3s2FPF5YFUk4gKrsoLwvwhdWrCb22Ppfj3Lrsssv427/9Wz7+8Y8TDAZ54oknAIhGo3R0dACQSCTYuXMns2fPpr+/n1wux6c//WlcLhdPPvkkmqZhWacuM/M6SZIwDOPE7TvuuIO///u/Z8GCBVRVvbXFYN+Mk7gc50TJ0MlpOn5F4dvbt9IxMU6Zx0sw7EET89ieHO5aN/35CZoDp//QiqJA/WnmTY2lsnzvqVdIxvNYtsYEk0RKAsPx1GkT19N7DvPgk1vxuhRe3HeMz996GfNaat7SefSMxHlq20F0w2JxWx1XLGoD4Opl7Ty1pYOAz81li6azem4zz+89hiAIfGTt4pOeo62+grb6CrLZIv/ry4/RMzSJaRvMqoki6BoBy0VMU4hn8xz/PStQEfETCwcoj/gZnEyRzpewgXSuyNBUmlgocLwUTleGhurjr1GhpNEzlqC+MkKhpDE8lWZ79yB9E8njw9cFm/7REoJLYGdpkIpqP3LWwlAEMG0CA797AcnZlZXsGh2hqBtkBR23KaKIIgW/SU7VaayI8OE1C09sv7Csif++9FOnfa6/e2QDL+3vpmSalFX5uGHNXG6dMZentx7kif2HmDKLuFwyiiFyaVUzf37DKsr95265FcfJLrroIu666y7uuOMO3G43dXV1APzJn/wJn//857nmmmuor69n+fLlALS3t3PZZZdx3XXXEQqFmDZtGq2trfT39+N6k56PtWvX8o1vfANd17nppptYu3Yt999/P7fffvtZx+8kLsfbZloWQ5kMsiRSFwyRKBb4n44DFHQdy7J4dXiImmCQjKrS2Bgl7dKZKTXiFSUe79zFn825goD3rf+S3rj7GIWcTsmloZoq7qLMkCfOoDDBUk6+DjSey/HMoS40y0KSbNB1RhLpt5y4Xth3lCODE0iiyEgizUXt0wj43Ny8ch7LZjRgWTaNVVEAls1sPGnfsWKKkWKCak+UWl+U5zceon88iWKJaG6BCb9FSrUQRZmJVBbLtqmOhtAMg5JmosgSi1rq+Pent1IoqUxl8tgcb62YloGl21i6TcfOES6/pI2F9bXUloXoHY2TypWwbZuBzgHcsgQSFDQDv0uhtaGCsXyORKKAuwCyS6LMdlEuSBzqG6etIXbaUlI3ts8i6HIxns/zhG4xJmdxSTIeFL5x6/uoepPW7m871D/O5gO9yB6RACK5eIlUscSBwVEmCnn8FW7kTB7BgqqaMJ+56VJC/z97bx4Y11nfe3/ONvs+mtG+WJIlWV5ix2tsx06chCQOIQshQAIEaIH2lva93JYLt9D23re0QF/uTSm0L22BlLahJZSELCQhi7M4ifd9ky1rl2Y0mn2fOev9Q6mNcCAJCfe2RZ9/bElznnPmzNHz1e95fr/vz3Wp7+kiby933333BZu9J598kvvvv5/m5mbuv//+13z9n/7pn/7MsR577DEAvvSlL1343j333MM999xz4etjx44RDofZvHnzW772ReFa5E3zxPlznE4mAYvtnUvQTZOartPq87F/egqPzUapXqekqgxGeygisOfYKJl6FZfuInH4KbZvWELelyVk93Jt8woU8dJHUdMNKnWNqqqxpqOZvfFRqm6DJq8HZ4uF3XlpfVJF1wiFnTjtCpVyDbfbw4rONyZaALlSDVU3cDskylWVqqrhcc2L7L+6aOimSb5U5ex0kqjfQ29rA6l6kX8aeQXDtJjOF/AZIcqncyg+G05FQc8UKWHibfDSFA0yOpvGZVeQJQmbIvP+q1ezYaCDT//NoyTzRWqqgW6YrO1rI5krEs+U0A2T7uYQZVnj7MQcj547y++95yruffBFhiYTFCt1JFHEwKKxwUvQ6cIjyBQrKtl0GcsGNr8dK6/hVi08K0M8feQciVyRq1dfWm8jiiLX9cxHnGujLfyPp3dRVVXePbCcSOCN2U69eHyEbz15AE0zqNV0RFnA43fQ7PXS5POCaSFKIrJfxhAs+jrCr/obLvIfic985jPs37+fL3/5y2+LO8qicC3yplANgzOpJG0+H3VD5/jcLFe0daAaOtlqlaDLSWfQT6JUoTsY5M7lK3n8mUMIVZmg6aF81iDVUuIbu18g0Ccgey2yaom7lmxdcJ5sqcoPXz5JuVbH5bAR8XrYIvYwG3ZT8pTo9DSwNXKp7VGr18dgWxOyImOUdT608XJaI2+8RcbGgY55Q1hBpKc5fEG0/pU9U5PsGh3hwMkp3GUJh6TwkXesQ3OpnByPU6sIDJfytHk1So4aPSE36dkSXb2NXHn1Mv5p1xGGpucwDRO7IqEbJiu6mtixuhdRFElkS0T8biwLxudy1FWdsmXgaFEoqSoprYpoCfT4fZzPptnY1kZXY5C5XIm6ZhBxKJQ0lSXNIT5xzSbCLhdHR2b4X4/uxuaVkQWRfLDGyoGl9DSGUHWDybnc696XZU1R7r/7TjTdXNBWRTUMziTnUESJZZHIJZPS3qFJnDaZdb3tnJyOs6q3hTu3r2J1WyuKKHHDGoP0y2Wm9SxtXh/nz6U4NhpjTe/PcLlf5JfCDTfc8Eu15/vyl7/8to63KFyLvCkUUaTJ7eH5iVGS5QpXtncyGIlS03X2zY4ieko4PE4+3L+C/sB8q4xmb4j+UhPnslk0o0LA7yCu6oTlMCg6I8WLSQITuSzjuRzlTI1qXaU55COeLnDL5hU0hb0okkRFr+GSL3VjB7BJEu8ZXEGxt45Lsb3pGqBNg53YFZlsqcrqnoXp9rlalZenJpEMgVythuxyYlVUXjw9Sm9bGKdsIydXMHWTiMMLjRLrV3SzpbWTru4oU6kszxw+h66byJLExFyW1T0tnJpIXJisd6zp5Uf7zoAFW5Z30t0a5tmpUXqCDeS0GhNTGSiYnD8/h8Ot4LpcYfuqHpK5MrOZIpIk0t4ZpLUnyLPTo3xg1WquW9vP/uEpXh6ZoGpqbO3rYqCjgRdGxnFJCresXv4z70elpjI5l6Ux5CXocSHZLka5lmXxVwf2sXtyHIDbBgb5wKrVC47vbgpxdiqJWqyyrKmRP7rjOnzui5/dZT0tjM6mScRLtDp9zFQKVOs6iyzy81gUrkXeFIIg0OzxMp7N4ZRlXpme5PpkH2uamzlYOk2/PYJq6hzIjlwQrsvXzVfLL5lOkTBqCA6RTDVL3lagmjNp8rRwci6BhMD/eHEXhmlSKqs0zso0Si7CjT48ThuyKFJSVZzyz0+Dl36iyPjNokgSGwYu7psV6zWOJxJE3G6aPF4EAZx2BUMwmcplwdKZKKa5ItdNc7UJv1gjb86SqlQJup3cfMVKIm4Pr5we58cHhkjly2i6iU2RMDB5JTZFvaLxvZeOEQ14+Z1br2Tbim403WBtXzslTSX2XIXYXAHDspAMAQWZWk3n3LFZxHcIDE3O0dsa5qM3rGOilOf5qXFafX6mC3lipSJ+h4MPX7uexqCHiXqBztYgj8dHmLEKoFpEJz0UyjXW9LYS8l1MiMiXanzh/qdJFcs4bQqfee+OC/t7MB9t7Z2epMXrQzcMnhk9f4lw3bRxkJDXRbZUZfPyLhRB5Pvf38fLx8bI203cfsf8UrOqEksX6G+LcPnSi9FWslTC73QuFiEvsoBF4VrkdSmrKoV6nZDTiSJKzBQKeO02OvxBJvM5ZktFBiMRXLKdol5DM3WaHPP7QfFMgWOjcUINTt6zaQOSIFJVNRA38k+HDvKjyRFOyhnS2cM0+twYlkXQ7mRqLoucESmXijg1qFc0HpoeYzSbJexycseyFXjtdoqVGoeGp5FEkcuXtuF2vH21XRVV5XO7niZWKIIg8NsbNrGzt4+XJie4vLeV4fQkVUvC7pGYNrL0Nvdxlb+XX9u6haJZZ0kgiM8xH12MzKSpqwZLmsJkSxXCfjd752aoFjVkv8R5Lctf79rLtRv72NzdeaGRos9u58Pr1/Lk0Dk8io1Hxo6huGVkSaBQrfO1R1/i2GQcGxJnJhN89JZNWJMQLxYRBYEGp4vZTJEHXz7Os4lxslqVI8U4iWKZbjFAYjrPo+dPcbZljgcOH+OD161jS0cngiBwcjxOMl+iNRJgJpVj39DEAuGySRIeU+HEwWkEWWDtZe0U6rV5V5RXr99pV9jxamYmwEu7h3h+z1mGqwVqdY2KHRx2Zb5b9LIG7rrmchw2mYqq8ps/eoRzmRRhp4u/3HkznYEgiywCi8K1yM9gMpfl68/vIZkr4fLa6GwKE3Y6CVRtTMbSFAp1xs0sTkUh5HQiCAI7W9fwytxZbJLMlkg/lZrKI6+cQhIFzk7NISCwvr8dt8OGaVrMxeqEXG58ioNkpkhfNIxhmswUigimgMNjIx1SedlK4Dp4APw22gMBZgp5zqTm2NDazuP7h4ilC4wn0jx7ZJh73rGOdL5CT2uYXKLEmVMzBCIujgTHGS7FuCzYxQeXXIn8ajLITLHAi+PjGKrOYDDKio4mFEnixFyCfTPTjOVy9IbCZH8j7gAAIABJREFUpCplXpgY4w+372BZJMrZrhRfPJJmfK6MIou4FIWOaJAtS1+7Y2tvawNHx2KcTs4hKFAzLeQWiYaqB0MwmcjnyJWq7H8pTpvXxzVLetixpIdGj4f+cAP9W+a9/qy0wUMvncC0LK65fClPT48geUXsgsW52RTNbg93rVzFdKFAu99PxO1m7+QEdctEFw2cgoJPdjJTKzJbyVMp1ZEtkWErRTjg5sXxMToDQdr9fsJ+NyCQzpcxTGj6qT5ghmEhxkzcpoxRtRg7k+JjlR/itdn5b1u3vabjRb2mo2NiCrzqOG+BBeW6yoHhaca++Tg71vSg+eBcOkXU7SZRLvH3x47wB9t3vK3P+CL/flkUrkUuQTdNPv/MM5yPpcjrdcyUQV+2gOSWMMsGW1o6uEZcwpiQY7Ze4k92v8Ddqy7jtoFB3tW+7sI46WqZ6WKesVoewbBoSflZ/2oxsCgKtPkDnI9lmarkafC6uHXZIO0OH3smJlGFOgfyU2glDZvHyctzM/TJUUIuF5pp4VRsaIZBqlDmwNlJYqk8dd3g+WMjdESDuBWZ5bKPSNDLy9NDjHQl6Gxq4MW5Mwz629jYsBTdNHnwzCmSqRJ7D4+jWAKhoJvmlgB1u0FrwEehVmM8mwUs+sMXjWL7ww381zXX88/nDhLPV7m8oZ0t7Z0/fSsvsHGgg6lanvSpGiW9zlA9jayL5IQ6YcuBU1KItvgYSs0RyxawgJNzc3x681YCzovLnpvbW7CWVmnrbCC61M/hXXFSc2WKgsry9k5EUaTN51/QbLMp6EU0wSPaiZlF7EadLa3tTAylqOkqumlSLNbwuexoqoFuzReVDrRH+djOjewbmqSvLcLWFQtFWdV1NM1gZUszyVKZU/FZGiwPSSvP/1d+kS/efANBz8Il2/Ubezg+NE3i9BhFFyiY6IaJKAj43Q5G42ny5So2r4IeNKnrBoZpcTwR578982M+eNlqBiNvrXh1kX//LArXIpdQUVVSlTIVQ0PHQJdguJBGr1hYWJwdybDO1UTGVqenIUxd13ns7BC3DQwuGMdhlzmWT1Auq5hYHM/M8h4utrfoa2ngif1nUNU67f2NpGbyPP7iCXJmHadNxtflIZYqIFdMxJSOKyjhkGWWBAJ8de/LFOp1VroizGVLiKKIwyZQqet4XXZyuTJzosySjghWBUzdwvZqlKWa84W3hmmiGgaTUxkUWUI1dc7OJMlVa9REnYFtUbZ2dBJwOBiMRLm+tw/VMPjWoQOczaTZ3tnFH2zY+Zo1UD/NcDbN4ewsOaXORCWHiYXfZkdxiHznlnfzlT0v8cLREaq6higJHJ6cobexge+dOsFH1qzl3FSSF/ae4+CTZ/DYZR7ecwql2YXpF1i5tBndMvn1ba9tptvVFOKOrZexMd1JWdQIeV30BcJ88MT9OBwKGCalqkYyW+LgK5MslYLIK+ebaG5ZsYQtK147inQ5bOxY08uuI+fJV2oYuslsrICmWxyKT/BfY48giCI2WeYTN21iZXczPp+T//zJ6/lIucYjp06TrJYR8xZ7T0wQS+ZBEFAkCVkT2Bhu5byaxSZJjOfzzJRKHIrHePC9d19inrzIrxZvS5/sL3/5y3z2s58F4MyZM7z73e/m+uuv53Of+9wCy49F/n3gczhY1dKEKQEWSCbogomBhVNSkASRaaFI1O/iVGmUU5UxXqv0pq4ZuBw2BtoidDWFqGkXnwXLsnjh+Ah+t4OB1kbG4hmeOXiOoqDRHggwUiswV6ugJTXy6TL2rImnLnN73yBnkkkqmkbE5eZoOUH/kkYkUUBAQBQgliogKhK93VESiTz9zmb6m5uJVXMM+FpZH5q3m7LLMlvbO7FkSFXLpMsVdNGkrcGPpVlMZDMMNET4nY2bualvAFkU+fM9L/N3x49wMDbNXx7Yx+HYzIL3PJXM8Wf/vIs/++ddTCUvppkfjs/Q6fMz0NCAaVkooohq6LgVhUaPhz+48mr8dRsh2Y5kE1FVg3XNLRRVlfFkhueOnic9VyBfr1N1SxTQCUgKUhnSE0XCNQcvHDjPVx/azUMvnaBUrS+4ro5ogC3LunhH/1LWtbSiY1JsMCkGNXIuDbfLRk+kgUy2zEMvneSL//QsmULldZ+VD167jj/56I184Oo1NHo9mJaFZICkCRwZiTEyneT0WJzP3fcEiWwRmE/weWJ8mIfGzrBnbpoTpPjYTZvobm1AFCCeLVKs1Pij667hybs/TIPLRcDhIOJ0UVRV5sqlN/ooL/JvkEcffZSdO3dy3XXX/cxi59fjLUdce/bs4aGHHuKqq64C4NOf/jRf+MIXWL16Nb//+7/PAw88wF133fVWT7PI/2E+u2UboiVw9PQUU+UiDptMQdTQLAO7LOOXHYR8FpNZHY8oU1Jy5Gs1/I6Lqc4hj4vtHV28MDmOTRC5eXCAZL6Ew6bgddrxuhxoukGxUkcWRdqbg+xPz5DIF6kIGmHRhaSplAWoFlTSqTI2RUYWBQzLwrBMJEHks++7mhePjHB8NE4slaNc1wi4Hbzr5suRLQG7Q0FRJGq6iuMnMhIN06Q4VyMiuTnrEvEYMpWKymQyx4buDj6xfhPNPu+CjLYz6SQu2YbPbidZKZGqXpzcRzIZfvfvH6Ve04nYXXztod382cdvBqDZ42Mylyfq9rCxpQ2bLKGZJu8eWI5umtx37DDVsIVVEYjW7dgC9vllP78Phfm/IFo7Qrx0eoSkkUUVBZK1GnXNoKshiFex8YOXjs835ByJcXp2jmlHCaei8MkNG+kOLtxv2h+bxtPgwOO0Ey8WcDhszKTyyKJIZ2OQdKHKTCq/IMuwWK/x8NAZ6rrBuwYGLhjgtoT9bBjs5Pnjo2SyFTTLQLAsTAtylToCUDcNvvHYHv7og/OmvqfmEvgcDkJOF9P5PKFGDzW7gekS8Ek2gk4X+XKVSMDD9T1L+YcTRympKr3BMJ2+N16Xt8ibZ3o4zpFnjpOKZWhoCbHm2lW0LX3jRfw/j0Qiwb333suDDz6IzWbjfe97Hxs3bnzTDSffknDlcjnuvfdefuM3foOhoSFmZmao1WqsXj2fEnv77bfzF3/xF4vC9e+QgNPFf7liK3+d2UPWqDNbKJAxahheKJXq2EyJo7MxWkMBIh4vE7NJjk1Os61v4QP4ias28c7MMrDg8eeO84N/3Ifb6+DX7t7KndtXIQgQSxe4enUP21f2EG3wcDQ+iyvp5JWxSQxLxa/YCRl2Gr1uZEnkI2vW8j9feYlMrco9q9bQHgpw9zVrsSnH2F3XCPoFiuU6zx09z21bV164FsdPpdFPJ/Ocnpgl5HNiS0sMtEZJlsrs6OnmE1dtxKbIJIpF4ukCdllhaXMDV3d1c1/2EIlKiWaPj81t86nzhmny2LkhNFXH5pCpCDq5cu3CuVZG5zsv1w2dT2/ZRk3XcMgKPaEQz4yN8MOzp9EVk4pTY0tjDx/fthGbXabF60NEoLspzMPnzjA5aCDUQMmAJAt4ZBthr5tyTUM3TcI+N0W1zlPnztE10EC+XuPr+/fxv67fueC9h5wuZEnEF3Eg+SRubF5KPl7m0PA0yXyZgNtJZ9N8Ft+J6TilusqTE8OcSCYQBYHjc7N89cZ3XhivrSHA5+6+lheOnud7LxyjqmoUq3WqNQ1BhLDHRTp/MVK6srOLvzl0gJKq0ur1Ml0sYPco+F12bE4FxZQ4H0vxR3//FKpm8KErV9HRGmZH15K31A5jkZ/P9HCcJ7+9C2/QTaQ1TLlQ4clv7+KGj+54W8TrlVdeYdOmTQQC81nH119/PU8++SSf/OQn39Q4b0m4/vAP/5BPfepTxONxAObm5ohELrYwiEQiJBKXOlAXCgUKhcKC783Ozr6VS1nkp5gu5Hny/DCiIHDT0n4aPW++PUTA6aTR60WuiuzTpjAVWOIMUS6rIFoIFQdZd5nYUBJpQuDbh56nvLPGjVtWXBhDFAXCHhd/98R+nnj4CJZq4FAU7i0/TS0g47Qp/Na7NjPQMb/hvmVlL33tTXzmm4+x2tfEaDKBPyfS2Rdi09r5Jb42n597b7jpkuvtb4vyo71ncNllJBF2nxilvz3KYGcjmmGQKJdwKzaCryY7CIKABbR6/YQVF4lyia6GIO/ftBqbIvPixBj3v3CE8XgGl6zQHg7QGwixs6GH/p5GrlrSjdtm49R4nO/tPsbpTJKOlhCjUyk0QeTD16y9cG2PDZ+lbuiYpsnRRJz3DF68R/FCgUy1iktWQBKou6Gv8eLvka6b+NwOYrUSNknC7bGRN2u0t4bpdgZx2hXmciW6m8OMFDIM2TKobov0TIxOrx+XslCwDcPAb3dw+8AgZ1Ipblrax7uXLUcURU5PJJjNFFjV3YzP5eAHh0/wwPETWBbMaEVWtjRil2VmCgVqur6g11Zj0IvDbsPttGEBDkWm7tTJV+YbXa5Y0kK+UmOuWuT5sVFkUWBDSzsfX7uO58bHGOxpwqyaJAtltq/r4YtPPU+xpuKsifzL48f40Z98bIFrxyJvP0eeOY436MYTcANc+PfIM8ffFuH6aY2IRqMcP378TY/zCz8F3//+92lubuaKK67gwQcfBHjN3iyv5Uv1ne98h69//eu/6KkXeQM8cvYMsiihmQY/Gj7LR9esff2DfgpZErlp0zJ+68GHqUoGHoeN8/kMFVOlWtTQsbjO1cbZ2Cj+JhcVrcrufUPcuGUFhmlSqam4HDZi6QKpuSJaWUU1TSpVjfRQjdVX9VHXNf7+6UP86a9djAh008SyIOJ0YbVHCXtdfGTnRnpeo/17sVLjlVPj2G0K6/vbef/Vq3l83xlm0kWCHhdPHzpL0OfkhZlxpvJ5JFHgjsEVdPgDtDX4WdfXxpmJOX5z8wbsQRtH4nG+f/Q4O5b2sndyikqxjmgXqFY1Dp2ZYr82gWyKLB9OcfUnevjBi8e5b9dBivV5n8B0usz12wa4ZXAZy1rmxdi0LNKVChG3B8M0SZbLC97DuuYW7NL8Z+VRbIScC11BvvnEXl45PU6lUsOQTYphFcku0erxsbytkaOjcWyyxGVLmhlO5TELApJlUbF04sUSOxovtpCpaBrveeC7TBXy+O12/uf1O9nQerHty2BnI4OdF7P2do+OE3Q48dhsJJNlYoUiiiSyqa39kgaRpmny8J6TNAa9WGae2WyJbau6sckyoigwmy/w2e8/TsxWpqrpdAaD7JuZ4gOrVrOlvZO5cpk1a9u5sqOLyVyO4n4VwSag2kFI6ZSqNRy2xf5cv0xSsQyR1oXLym6fi9RM5m0Z/41qxOvxCwvX448/TjKZ5JZbbiGfz1OpVBAEgVQqdeE1yWSSaDR6ybH33HMPt91224Lvzc7OXnAqXuStYVkWumXhEEUEiwvpzW8GwzQxTYtowIMn7KSxbJIpVSkbKlG3CxBw2mSKVh2nz4aa06kbGi2dAaqqxiOvnCKZLxPxu9m0rBO7Q8YuSaiqjk2WqNpEitUakihdKLb9V5pDPnZuGOCJA2cJuB381q1b6GoMXXKNxVqN/+f+R5jK5wnhYDTez4euXcf3dx+nUlc5M5mgWK2RKpeZLuRp8/vJVCscT8zS4Q8gigJbli9hy/IlFOo1vr5nL2PDKSZzeZ7YP0R7TwjJIVHNa0h1qBk6HlnBLiiMzWY5OjLDTCpP1dComzqiBkJdRMha+H9CfERBYHNbB7unJhAQuLa7Z8H7GIw28rG169k1OkLI6eKO5SuxLItSTcVhkzk+Fica8NLW4OfgdIzu9gjv6h9kZ18f33nqIEfPz2CTJbxuO8Krhu0SIhYmG0OthMSLKel/uvt5hjNpFFEkVa3yzUMHFgjXT9MXaWDXyCi5WpUVwUY+snUdCLCqsemS14qiiNdpJ5EtMpbI4bRJHBmeQTUMnAEb8WwRS7cwPQJEJKSQgGmBZhqUCnWaNRdXtLSyvLWZU8kEKzuaOT4cQ5Nh89JOGvyLovXLpqElRLlQuRBpAZQLFcItb0/xd2NjIwcPHrzw9dzc3GtqxOvxCwvXfffdd+H/Dz74IPv37+eLX/wi73znOzl06BBr167lhz/8Idu2bbvkWJ/Ph8/3xloiLPLmEQSBdy7t57Hhs8iCwLv6l72p4+PpPF996GXS+RJXruzmjmWD3Pvcy6CbLHOFUAUL2SnT4fcTctrofYebqVNpom4/H75xC1NzORK5Iq1hPzOpPHVN56Yrl3P82ASVkTQ+j4NIjxdTgLDHwT3Xr7/kGt6zfTW3bVmFACSTBTLpEqHwwolr1/AIo6UcAbeDrKZyanqWdLGEqupEAx6K1RrVus6SSAjbtMzpiVnKNRVvh42DU9Msb2rE+WrnV900qVRUynUVTTKp1TT0uQxXD/bSGQlwZiRBpaRRrWhgF4h4XTSFvGiGiWWz0EomognOoMzB2BS5F+t8dOt6lobn/3rd1N5BX0MDoiAQcDixLIuZVB7DtGiL+PnE2g3cObgSWRRxKzZ+fPAs52NpJFEk7HVxfiaNokhs6+3i8zdfd+EenJlMkC9XqVo6etZk9RXtzFZK1DWdgOWgxxFk8/KL9WWpSgVREBFFEU03Lrz/n0RVDb755B4mEjnesa6P9sv9FOsq1y7rIer7+a7wv33rlfz5Qy9gVyR6W6OMxFLUxwuUCjqGW8AYcOK27FTKBqlymZ1L+zCqJl/652fRdBNBgN99z1Vc1bmEQq1OW2OAFcEI77n8sp973kXeHtZcu4onv70LmI+0yoUKxWyZLbe9dqnFm2Xz5s187WtfI5PJ4HQ6eeqpp/jjP/7jNz3O275g/JWvfIXPf/7zlMtlBgcH+dCHPvR2n2KRN0B3MMRvr98EvPlQ/IevnCKZL+Ly2PmHQ4dpmFPwlwWuau2hvylKvFAkusRP3dC5sqOLVr+Hc90xJsop9qVHeXb/JKcmEyxJBLF0i0KlzshMEqnZjSMkoLpEtm0aYKAxgr1q4KioaKqGYls4iUqSwDM/PsGuw2epqBrvuXkdW9f2Xfi5JQn4XXYqJZWSpdEQdjI7lqXR42ZmLo/Lkljf38bkbI5W08NkMkU8VeDUiTjhBjdr+lv5L9dciSSKhJwutvUuYeh8gkpJJeBw4PU4SJZKuC0Z0yfQsypCNl5iZUMTH71hI0tbI3Q1BelMBIj5ymhZDdMGTtlGg9/Dc+OjF4QrW61SrKt4FIWqqvHs4WHOTCawKzLLOqJct7b/wt5bIltkeCZFwO3g0T2nkWQBr9dBtMPH2sGOC4kdAB6njYDPiVavoAgS2XyFd0R7uHnNID3BIAGHE9erNlimadKvBDlYn6CqmDR53Hxu61WXfP5/+8QrPPTKaeyyxMnxWb72ydtoifjZNTaKFpvi6q7uC1ZWP8lcucTfPL+XiVQWRZZIZItYmTpSQcNSROwFk3pWx9nk4e5Va/jA1WtxyDLPHz2PZpi0RvzMpHIMzyS5rWslv7l+I6ZlXnivbzeqrnNsJIZdUVj1Bvu1/UenbWkzN3x0x3xW4UyGcEuQLbdtfNuyChsbG/nUpz7Fhz70ITRN44477mDVqlWvf+BP8bYI1+23387tt98OwMDAAP/yL//ydgy7yFvkF+17o0jzxbhxrUzKKlOvKQQiMiemY/htTq5Z08uq7pYLr8+rFfakhnHJdv72xaPM5eqYOkzN5rmmpZu9Z8aYSORwyTIVQyZdrPL0+AhPnjxFeSzL5YaHq3p62Plr1yDJFzPGqhWVx/ef4lw9C5rFl37wDPd2hFgamd/r2trVxfHZWV4aG6ex5mT6TJy9eQFPXKPdsoEgEBtJ8XB13uE86vcwmyygGwadTUFOjSaobNPwvtoe/h19S1kZaeT/fXoXBatO0OViOp6jXFepVjQamkIYTW5+99ariATmo781PW28PDXB+VIBTbbodgdY2hpBdAgX2s6PZTP87aGDvDg5BhZELRdWysAn2tmyvIuz0ymuXr0UWZpfMrUrMqIgsG9okul0HrfDxlSlSKDNxcnUHIIkckPvvP/fjesHiGXyzJSLmJJFVq3hLCtoeZ2WJQvTxp88OMThI9P0EgIT/uyum4h6L42gxmazOGSJoM9NMltkOpnnobHT7J6cRBDg5alJ/uy6hS0wTMviO/sPc3QohtOlYBMEHB4Zp+lhZqqEabMQDAjYndyxbgV3bV97YY+sp7UBmywxncwhCSLL2ueXjubLEC7NIDRNi1SygKLIBEPuS37+Rvnqg7s5OT6fFHbThmXcedXq1zniV4O2pc1vm1C9FjfffDM333zzWxpjMUVnkUu4desKRlIpptPTBIIKDpuC5BBp73Fx147LiQYWLtnVDBULC5/iJFdRccoyoimSEEocj8UZT2e4vLON87MpEsUSToeNWCJLQ8HELogkAgKpqTSFdJFgY+DCuHa7Qh4NqWyRK1cphQQ++8gTfOnmG1kabaDB5eL6vqXIioQ1UmFaSSN5FIaH4iiKiCEKlGMWcrVEKl/i1Pgsdd3AwmJ4IsmGyzpxv+rAUFFVhl71xvvvO6/lR8NnGYmnaA80kjar7BmbYmg2xfLmKIFXbYx00yRLlVN6igaXG9km0ej3MdjehCwKXNU1nxSxe3yC58ZGKWkqpmmSqVfw1RTiaonTR1I0N/nZmuxmddP8ZBHwOLlh/QCHzk3jttvwuOwU6kU8Dgc+h53sT9SO9bdH6YyGCPpd/Pj8ecqpPCl/hd7ZKXawsDTh/Ewal91GQ8BNLJWnUKpDw3ykdDgeI2B3sLallZ0bl3F6co5YOo/sEsmKVU7MJWj2erFLIqPZzCUZhYZpUjN0ZGl+X7WuG3gVka03DPJYrAA5g+BSLzd/aBNXdnfyxZeeRxDg42vX0x4J8Pt3XcPwdIrOxiB9bRF+FpZlsfu5M5wfTmCYBlu2L2P58tY3/YyXq3VOTszSGvZRU3VeOT2xKFz/jlgUrkUuocHn5gsfuJGHzpzi6ckhJnJpwi4bH7xs0yWiBdDg8LHE3chYeY5l7UFOjxWoqDXshojLrlAzTPq7I5yLpbDsIgGPg6PpWWaEGkJdpVmVcYTtuP2uBeNKssgtt67lqw+9QFESsTlsFBN1Xh6dIOB2kq/X8Njs6IaBEJQwzpvMTWSpVlQkj51ivkrdAWLNgSgJmBq4bAoWFl6bnY9tW48oCNR0nT947hkm8jlkUeR3r9jKR9esJdZR4KGXTlAuajSKbtb2tWKvS0wksvS2NrB7YpyXJsepGDp2m0LAoSAIAu8evNjfyjQtTozEqdQ0dMvAxEI25qOxuK2MV7Hh9dn5i317+Na7brsQJfe0hPngdZfzzSf2o+kGnY1BFK9MVdN4R3fvgvHdDjturw1hTICKiVbT2CdMo+kGyk9EsJsHuzgyMsNMMkeD30NXNEhd13ng1Ekmkzni2Tw7err5yBXrcbkVvvD889jdMn936iitXh8zxQICsDLaeElGoSJJ3LCsj2SqyNj5FMs7GmleGqRkabTe0olXtNERDrKlu5P//OPHmcrnATiTTvG9O95HV2OI8zNpvv7D3fjdTj62cxMdjZcmBBSKVX7wzBGmtAolXeXB0fO0dAZZ2dLIjRsGGWh/Yxv9TrtCc8hHLF3ANGH9wHyCSrpUJlWs0NUQxK4sTo//Vln8ZBZ5TSRR5NZly9nS0YmOQcTlxiG9tj+cJIhc37KKolbj13ttHJ6K8cSJIfYdn0Cwi3htMsvaG6lfbnBgfIqxdBafrFD3yGhCjbLLxZXvv5J0pYbXtBZ0Hb5l1XLGZjL84MBJ3HYban2+Fuo7Rw8Ti+eZnsrilm0EG9zcfNMazLTK2HACQRJxCRaugI1Jv0oVHXtRwG3acdoVVnQ2EvK4MUyT85k0E/kc7f4AyXKZp0eHWd/aRkvYx/uvXsPJiVl8Q3ZaXD6SavnCkt54LkeLz8/W9k5empxAMURWK1Ge2H+GDQMdhH1u6ppOWHCw1B9ispSnauh0hryIGXAIMsGAG6dDQTMvzfy8evVSogEPqUKVVV1NCDYBRZQuRIkAPreDDQPtPH9iBFEUwBTBJqKVdA6NTSIFDRySjWX+Vtb1t/N573UkskWWdzbhcdnJ1apMJDMcHZrBEgQeSBznirZObB4bDr+Ndn+AuXKRDp+P969YhWroXPEzzITXt7YxeHsUSRRwyAq5WpU9U1NkqhVE5jMRw04X04U8hlijZhgMZ1QAzk4l+Lun9qOIIkdGYhw4O8Xv3H4lOzcsTCzad26KM7ksVVOnhoUsi6TPxknMFhiaSvGlX99J0ON6jatbiCiK/N4d23n26DBOm8J1a/s4E5/jK4++SF3T6IqG+PwtO3DYfjn7a4u8NRaFa5GfiSyK1IQaAsIlopWpVshWq0TdHrx2O6Ig4rfNTxibOjt47vh5DN0iWS7R2x6hKxzi+ORphKOzXNUW4nlBp4iF0+9G9tv58+/vZnI0jTvs5NffuxWnV6ErGCTkdHHDij7mEkXmymUiTW6iQS/xmRKFZJV8XcVhSWS1FN8Zm2DA2UbJK2Imq9g9Nuh1U1VyOBUbps2kATfNHh8rljTx+fuewDBNdm5Zhk2SmS0Vqeo6XYEQyXKZbx4+QK5W46aefppCXrLFKuv62+iIzkcCqxobeXZsFNGAzrIH5kyOzMxQbK4xmy1xz3XrcNhkVrY1wzT020JctbKH7uYws+kiU7k8j0wMUdN1fmPdhtfck1ze9fp7DRv6O+jvbOCYMM3IUA6nU2KJP8CLudN4LQXdMiloFbZEB+hpCdPTcrFOx2d34MGGionP5cBVlJhJ5dkwOB+BPHH+HJZlEVVcLFkWoCXsZyKRIZYu0BEN0tqwcB/tX0U1V6vy6NkhvnviOLppUNY1Ds7GuHP5Shq8MkNpFcECya3znZf2Ep+ukMqXqas6kigiKxI/2H2CHauXLig6Pnp+BtUOeh1ME3RMJFFEkETqqk66UHlDwgXQ4Pfw3u1rLnz99KlhTNOkrSFwAnG9AAAgAElEQVTA+FyGs7NJLuto+TkjLPJ/i0XhWmQBqqljGAbjpWG+O7mPw5kEIhK3t6/nI73z/ZASpRLfPXEM49VasQGnD9kmsL63B7cyn202NJ1koCPKyYlZhqYSfOKP/4HURBrFbSN+aopVSxvZa1WRXQZWOc65ozWC3iC5sRx/9C9PEljqw2O384WrrqW/LcqHr1lPulimt6WBjFFj7/gkFV1DEQVKVgVTU3GIMtNSBnWJja1XL6VQqvPs1Ci606Jm6YRCLj5x1WauaO/gU///w4giOOx2Hn/5DJ95/5XsGh+h3etnS0cXn9/1NOP5LCG7k9977HH66wHcip2dGwao6RqHJmawSzI3LenjgRePoagiU6UidodMpO6mUlPRDQObInP9un5WdTdjkyUaX+1p9a+9qu5cO29JJYoi8XwRSeB1U85fizktz+V9QcI4iSXydLX4MBwVnIIDWYZYNfuax4mCwAfXrmFsOIVRNPHa7Qx2RPHaHVR1Db/NjqmaPD02gqMkc/1gH4dHZyhbdazTAp+4diONgUuv9+XJCdLVKjVDp65ruBQbummSq9VY1RwkJ6TxyS50qcKJkVnWdXSyvLOJ3SdHkUWRiC+EIomX1PiNJTJopoWGBSIoioRpWPO2WM0hOqKBS67ljdIS8LFXnSBVKM9nmrrfmAAu8n+eReFahJquIosik+U0T8WO8UryNBktQ7quE7TJuJQAj8eO8sHubciizEQ+iwm0+nw88+xhDmWqOBWFPYPD3HPV1QTdTvqaGth9eoxKTaPR72V6Ko9d1wkpHmZyOcjOEIp48RplVrX52XWkjqYUqegKujE/WR2Nx/ndp5/g6ze+k772CBDh2UNnmUxkuLpzCZ12PzOxHLNaBnubk9l0leG5PAoODmfjeGsKLp8N1bKo6jp+m511La3UdZ1pq0jGrBJUHTSITlZEG7msqZmqpvGtI4eYLuapajp5s4Zq6ESCXrLZCi+dHmdUz3IqNocAbG5qx2GJ5PUahmKSosJwPcvOpn6y6TKNTX5kSaQ98toTqvjqxPzPB47y8KkzgMDday+jMeTlR8NDdPgC3LVq9SV7SgCZSoW/PrSf2XKZ7UvaOHAqSTxTJRSws6Q7wo+nT3LcShB1u/m1gSt/5uff3RTmix/ayWQiR3dzCIdT4VuHD5KtVBEtgYJRR8did2GS1NEKoiSgyybFqsoLo2Pcefml6czmqwYJyyMR9s5MY6oqyxoasEsy7+3ZxLlyjLJRpV2MsK6zk7lsibF4Br/biaYbzKTzDLRFeWTfKW7bvGJBNNoS8pIuVhBFgevX96NqBu+6Yjl9bVFsr3Gf3ijvWj2IqutMJnPsGOylPfyLi+Aiv1wWhetXnH8c283zs6fwKk7Eisx0osCsPYfHPd/zpqDpQI1mZ+hC1+AmjxfDNJjO5SkmiizpCGHULA4dmsDS91MoqDSFPPRFwgzrKWyKgOVV0EwH55IpDJuF0KXgllUmq3UktU6gWUHNmLS3hphpNzmbSoFpMZsvct+RQ/zXrdt5cNcRvv39lxAEAbtL4auffS8tV/sp6TV+HD/Gt184hFmBuqoyPZfhHYEuzms5FEvEoTi4MtqJIkk8NXQOb9BBLamRF1Q+sm0dkigyXIhzIjNNvJbhyo4uHh8+S1FXCZoOSsU6umHi99oZGc4QcjopqHV2j4yjFCBWLCCGZdqjQbSazt/fvxtHTWDHtmW87wNbFtxzy7IWTMSmafLo6SEiLjeFao1v7z2I7JexKzLHZmeRgDuXrcLpXLhce9+xwxyMx/DZ7XzjxYPkylXsssT4XIm/fOUgUZ+b3kgbii7T6fr5SQvNIR/NIR+WZfHuB77LqbkEumVhAZjgEEWcgsy0VaBi5agbNfySnzlt3jg3nikwPJMiGnDT3xblys5OMrUqS8MN3NQ3QE3TODk3S8jhpD/UyH3bP85MLktrMIQoCvzVwy8Ry+Rx2m343XaypRoW8MPdJ2gN+dm4bN7MeNuKbp44dBZJErErMkG3ixs2DPzMPwzeDDZZ4q5Na17/hYv8X2dRuH6FmalkeC5xkkZngHgmz+hIHp/LjopFSbDwuUQQRAZ8LfxW/43A/KTb4Q/wvhWrSJRK2JaVGJqYIZ4qYPokRqYzaJrJqu5mLAsmrALT5RK2DolaRSEst5F0pyiJBkZJpyxKFMUSnvU+Pt6/nbVL+nng1DG+vPsl/JIdQzWZycz3cTp8ehLFJhMIukknC5yemKUx5ONcMoNfC6NknTgEiZxZpaobTKXyDATD+Ntc2ESJRsnNd546wN+8sJ+CTSVgc7BhZQcrlzQzWUzx8PhhjKLFdCFBWGlgIBxlIBJmpbORM2MJ+toa2L66h0cnzrF3ZhrDNJELFkHNgc0pU9A1gj434xMxDBv47AqPvXCcd96yFo/XQamq8vj+0yRzJZZ3NbNtZTeiKCCKIkGnk7NzSTJqFUEQ8Fh2VnU0kU+Uef6hExj7i/Qva2bztv4Lopev1XDKCj67nVHdxLIEsESqpoGMQDpZIj4+L8L2NxiJFNU6Q+kUiiRj6homEHG7KKgqumJhOEuUlTy6JlBXkuSEDPlyjR++fBJREDgyrCMKIn1tEe65bF4EarrObz/+KNlalUPxOBVN49fXrqPP2XThmRqaTBLyuijXNBLZMkGvE5/bQb5So1C56LL//msuZ7CrkZpmsKq7CbuszCelLPIrxaJw/QojixIiIqqhkSvUqCdk1KiIs+bF0jTCLieS4EAWFM5mZ9k9Mk2yVObq7h7WtbTS4Q9w2Z1N/OD5g/zj84cwNJlYMo/TrlCpa6iWieCTuKJrCelKhZNzCbraG7DyJgUrTdGsI+l2MrqXiu4iFI4iySLb2rp52n+eCbWADZH1wfkN8nXLOzl2eopUooDdrTDQEeXHo+c4Eo/htTkQPRLWrImVt5A0OG1m2NDQTqPoRhAEBtujfOG7zyLXwCPbyKk1To8mGOvP8MKpM+weHsVp2amjMutMUHMKJKtlJnx5vvKuGy90Ou6LNDCZzGKUTebUAqWaSkhyYDkEmtxupmQJZ9FAkixqdgtRESlWavzVo3s4PTFLV2MQfSRGb0uYtlcjhU9t38Jd33sAXTZpdvnIq3X2Hh6nlqgza4p4vXOoJ3QCLT6aWwKUdJWbevv573seZzJfYrCrmdPDJkW1jkOR0TQDNV7FbUjMTiaYuDxFT/frp4rbJRm/zU66VsUCBKDJ60UolQi5nWSVPLWKCJaAKOscTo8xU8hgmibRkI+5XIl0oQzM12IdPT/DFx54hrNClq6GIJGol6FUcsE5BUHA73FiWBbFynz36+irtWaNfg/r+tsWvP6ynjdft7XIfywWhetXmEaHn/d3beaRqUMUKxZ2XOTGdeyik+u3rSXhiHOuPIVbV/iroy/SkIxi02WOnYpxy/JlbOzroCSonC3kwenAIUugWbR0+tHtBrevWsn0sRLjuSyWZbGxtY14oURQ8nBb9zJ+PHWcTNVkqpzB7yzyrZMvEC2GKOoqbU4fK92NOGSJHYPzprS3Xr2agN/NZCLD+sEOvnV2H8+NjSMKArf3r2R1dxvn9DnUdAqPLGNa4HDbuWPbZdhtMl6HHZ/TQcwqYOR1FEALmHzh+efwJUSKeZ2coBII2NGrFopdotXjZSqT48D5KTrDQZpCXvoaGnhRHiNmFRADCmrdoq6abGxv5z9t2MSL/kYeevoQMapE2gKcTCcYnotxUB+m6rEQs2CT5QXLhUVLw1JA0ARilSJd/gCx8SyiQ0RX4ZVEjHGpwAsPzKI74fK1HWTrBYJ2aBcb0Kwa2y9rx4MLSZbYe3YCWRfo84c5ERzlt4e/RTju4bPLb2V54LVNdXXTxDBNvr7zZv7wuWdQTYMOjx+/y8G7ly0nXa1yKieSrA4j2XUQTBK1In87/TSXuQeIZ+ad43tfdfHXDZNvPLaHcqmO0yMxlspg2uHW/oFLzv1bt2zh/mcOgQAfuGYtTSEfyXyJiN+DbhicnpjF7bDTEQ38wo4wi/zboVQq8b73vY9vfOMbtLW1vf4BP8WicP2Ks6NpJWt8PfynUw/T1O8mVa5gYaG4ZdK1Ig5JIWBzcT5folKuI9lFYon8/2bvTePkuspz3/8eap6rurq7ep7Vrak125KR5QHLFh4wGAjB8IOQ3EPugSQnyUkgiRNuwoWQExIOgQwkkISYMINtbGx5krFla5Y1dUutVqvnobq6qmuu2vM+H9pItCWP+MZw0fOlfr2r19qr9rCetd7heRmJpHls8Bzz3ipzqRySJiBWbKwaEIM2mXKRJjXAn193I89OTeB3OlkRrOEHz54ko5SoFhR6WsLsn5sgIFRpdvs5OTJKKDlPgxHF3eNn25Y2VifqCHgv6uJdt2FJ6uj55DR7JyeRRYmFUpVHR4f50JrN3N60gr9KPUVF0YgGvLTUhqmPXox6+5/vuY4vPfAsB8YncQZkgj4Xaa1KvqgTkn0Uqwp6RiDR6WeSIucWM3izIgcHJvjm/HFKkkqiKcLKxjhVQycqeVEFnRs7u/jgto2IIggeAWmFj4jhxhYF/nr/M4juCguVMkreIlNRuW51Fw2xi0LTc8Ui8aAPRTNYqJZJakUUTAR76SW1bHD5nQgBiZHyAtUxG5fHwuMVqPMFmK5k2ZxoZCavIIkin9hxLd8a289sJkNma56YEGRutsyncg/wjV3//UJQyE9wMjnHPx09RLpaJh4T2L46wmODs+ydnsApSViWhdMl4hf9yKUQtqcMsklzTZSiWWFNf5yEWEPQ68LvWcrDs7GxbRtREGkxAmRMhd/s38LtvZeKPrfXR7nn/TctO9YcDzOXK/C57/0YTTNpqQmza0sfq9suVaa/gjcO01MZjh0eI50uUlMTYP3mdpqaY6/c8FXixIkT3HPPPYyPj7/uPq4Q1xUQ8XrZ3tnGU6MjlHxZ+pvr6K73sF64lgfm9zOv5rm6sYX5ikVOqRJzeqgPBXhy9DzN0Rgz/jymYJMIBEg7snTWRCkoGk9Pj3BbxxruWNHH83Oz/M3jzzCZm0fzVNDPQNs6L3V+PwuKTbZaBsPGFXJCSaCaqdIQCy0jrZ+GQxRRdYuQx0nQ7aApGOTO3pXIosjHf+U6njoxStjnYdeWi6v7vFbhycox5P4KG6J1DGZyTBYKrE7UUs6UySsKQb8bX9xNOOEh6BeQTIFCReXk+BxnZxYQ3SLJYonuFXXsWNWBqpo4JZH3b1tPyOPmT/Y8xkBqnmSxhCyJrKmtY6qYo6xXEfMyfp9FwB/AMK1lO4d19fXU+gOkyyXMioXb4cRTK5POlfEG3dR5vbhUiSmjiGFaLGoVMGGl08tsJUuLN8qNbb34nEukYdk24v8lMjQ7x1Q+RWbYRFNAsRXuDw7wzu0XIwENy+IHQ6cpqhoOGc4uLFJUDCYXi2CLVAyDh88Ps6O7nkTUy8ebr+FoapohdRR/AFyig5ZADXH38ooPDkni13dt4W+++zRlRePdW9Zwe/+rr1SwUCnzB995mPPDC0iyyPxikfaGKE31IcJuzyt3cAWvGdNTGXY/eJxAwEM8HqRcUtn94HFuuX3dG0Ze3/nOd/jkJz/JH/7hH77uPq4Q1xWgGyYf2XYVvpDFVCVNb30dc9oi72ldwfbG96NYGn7Jy/74OGenFkhmC5QVnbpYgIKpICIiBUVqanwYmsJMoYBp26xL1LJQHeH4/AT/cHAGNWeQXMjRUOPF7RCoWhrb6js4NjvFjJolVPXhmZMxPSbXXbOCllDoJce8sqae7U1tnFiYozkY4j29/Ugv8MCG7mY2dF9qDvva6NMcz45jWzDtzlOqejBsm3SpzFt2xpgaLzFZLkJQIKVXyKZKfGjTKh4aHiabK2JiI1g2hm5RUlQ+tu1qMpUKbeGlRGmA4UyG1lCEoNPN8eQcZ9JpnJJALOwmKZQJiW5afFEiL8oRSgSC/NVbd/Klg/ux7CVtRstn0+IIcWvnCm5a382zAxN85/wA+AQ8Xid+p4sPrdtKSyBIfTiIYhjsnRynzufn+fEZfjw+Rk3AS53WxFl1BrdfpEWv49RYchlxicKS0oVhW+imiS3Y6MaSh+snZf8EwLJk2iNhfG6Bv+67k32ps8xUs2yKtRN3BylpKn93cD8jixmua+vg/WvXsaW3lW/d8wHKuk5RVV/TczlTKLCYLeP3ONFMi2S+yMNDwzw7M8lt6/t4a0/XK3fyGmDbNv/y8AGOnZtlS18zv3bzlje0/18EHDs8RiDgwR9YWjD+5PPY4bE3jLg+/elP/8x9XCGuX3IcODPBkeFpFFUjWc2TNgooGZuGLjcOQcItO3GzFIa9fU0H29d0UNV0qorOu4Q13H/2DNlqFRGBoNvFqrqNPDl9hpDLzc2tNfx4+gnuH9SZLOj01iRY0AUqkkpDu4v+mhY213QxP66y1b8a/2oXo74FPrhrM01Nl74kz00f59ziDP21q1hf38Y922/kbCaNami0ek5jFR9AkJsRPLcjCB6KqsqB6SlM2+LqpmYyaomA7MbvdjOUTlN2ybhwMKsXSake3rqtk2+dOE25WqTWX0QpVZkoe2huD1CUID+rYRoWTp/Mjq42emI18KJhbqhvYM/Z8xSrCmHbgZA1KVcNutR6/KEAncEY/U0NXNd/6aRb6/PTGAohWgJ7z4yh2xZv71vJh2/cgiyJdDfW0joa4y+e3kPV0PE7HdSHArREoxRVhU88+Rip8lItLqeyFKmYqpZor08Q9QXIFqrYNmzcvNynIAoCH+hfh3HMZLZYYENtDQGPyORCmYVSFUEU6KwJIEgGZUNlW3BJzWNb7Ypl/TwwdJrDs9PU+QI8cPYM6+oSrK2v52wmzWf2Pk1F19mYSPDxa669xFR5OcS9PmprA0xUFxFsAYdPBt1GKxp885ljXNvRjlO+VD3+9eLBA4N895mTeFxOvvnUMZprQrx144pXbvj/I6TTReLx5Ttnn99FeqH4Jo3o8rhCXL/EyJcVjpydIhR0c2x8Cp/bQXdjnNlMgXdt3nBBwumnYds2TlnCE3QwVyxyW08vDYEgoiBgWhb/dvx5gkIIvWpxYHqCs4vQEgowmctwPp+luS7Ohu4wbaEQdzRtJuj0Uq6DgbE5VNFixYrEZUlr79R+7h/9LoIAx9L7cUsfpS+eQBZFnpwYZK9+hk2JKNc1TGFrgwiuTeweOcdUIYcoWMyV0tzRvJF/PvcEBV3BVl1ISFjYVE0Tv8PDVGmRrtoAZ2dmUXUXq+tc9EaKdNVdz59O7kGISgiSyMauRjpdUUZm0nQ2xJaZ/N7R3kd6vMiCVWZyKoNLEihUNY7NTVPr9hDc0sDOTSvwvIQG3q7OHj63Zy/N0TBX1zahVUwKZYVocOleuB0SN3d143bIlFTtgrLE0dk5xnNZOiJRphbzVC2DsAg5VWGtJ8H/uPsajo1MEwl4WN91qTO8MRDknmuvX3bs/Z0VDs1MU1Q14n4vNQEnNR4/dZ4wlmVx79mDHM+NsqWujXe3XYVimkiCiEuWsG0b3TIBuG9oEMMySfj9PHZ+BEmUuHtNP42vUEw2OZenNxSjuz9Gb32c/SMTZBUFHCAoApZlcbmyJ68X84ulpQhHnxtF1UnmSm9Y378oqKkJUC6pF3ZaAOWSSqzm56v69BXi+iWGwJLa9uDiJFmzwmLRprbqZ0uik9WxSye3VLnED86cpqLr1Pp8HEvOUdZVtje3cffadSiGQU6p0hAIUtF1yip4ZCiqJa5uDiHajXxs8zaaX2QCvHZNB/GQD8O0LlH3Hi9kOJdLMbR4HMty4neGse0FRnMz9MUTHJyeIurx4HLC0XmFa+otHMLSZJaulvE6Vc7lj3E6p7KibhufWferZJQS/+/8s4z7sxQ0lYDDiVlxcnAuy10rV7KtLkteUYh5I9R4/VhlEad7ibTKmsKhkSnqDB9HDYubNvawsrXu4jW1ocUfosEXYGIyg2ZZuGyJoMtJwh9gYaFIVdFfkrhawmE+tGY9z5wcxapaeF0OfB4nZU1j39QkyXIRw7YwLZuY10uN18dwMs0XHn+G8fIi05k8DeEgfcEYHl1GL2pIixaCCDes735Nz0fE4+Xmrp7LfveFw3v5XuoZsAVO5CfwyA5u6+7j+NwcM4UCVzU10V+3FEQRcXtQDIPBhRQL1QpPjZ/n6Mw0n7r+JqJOD0GvC6dDZiyb5eFzQ0TcXgIVmc9840ksy8blkLnlN3vovCbGvc8cwzQtbtvY+7ICuJZlcHjx25zP78PviLA59j4SvpUAS+ZQlup9GYbFRGoRy4Yd/R3sPjLEQq5EyO/m+rVvrCnyFwHrN7ez+8HjwNJOq1xSKRarXHPdz9fO8wpx/RJj/1NDlMayTJcX0eolrJiI4te5c9tqcqrC83MzJPwB1rwwAT09PoZpW2SSRb42cBhZEKlvCvLl1GG8Dge39fSyIhbnTDqFIAjs6lpBrb+PPWPnsC0PN7R3U+f3kytVufeJoyzmy9y+bTUbuhsvFKZM58tkihXqowGmS1k+uW83umnhkMrEvFUqpga2l1U1SwrldX4/e4bmUaouWsNZbHE1gmOprMhbWtr40pFvs1DVafBHuX/oNH+yrZ+ecILf3LSFe08cR7NMAg4nPxo+R1nXODqb5P39vbx1RRGXLNIV2IHm9pGzVPKagoRI1lJwuCWchkRysbCMuNrqo7TWhplM5djR3cF4apF0uYhbltF1g5baMCH/5QNOfoJ1nY14nA6KVZXupjguh8yPzgwyml3EIUkEnE5u6eymIRjE73Sy++QQhaxCpyPIjFqmX45yz21v5eP/+giSInDgzCSlisYf/Mr1L3ve14KjC1M4RBGf5KWglxktprmzJcAXdt2Gout4f0rB/u41/ZR1jfvPnKE1GMICJnJ5/uL7T7A6VktDOMRNm7v50z2Po5oGhm1TOl/BtCzcDgcVVeOB/af58w/upL0uhm6YxIIvryN4JPNtDmT+AzBZ0GFRm+T2pk8ztiiwd2ICC1gdjPPMgRGS2SIdDTHWdjTwld97NyMzGbqb4hfqrv0yoak5xi23r1uKKlwoEqvxc811K97QqMI3Aj8TcX3pS1/ikUceAWDHjh384R/+Ifv27eMv//IvUVWVXbt28bu/+7tvyECv4I2BZhjMl0soaZVHHjoOPqg4dIpVHV+th8FCjoql8cmn97BYrmAJ8NHNV3Fjeye6ZTG5mOfZfecwnSZVn0kpmSFRH+LI7Axh2c38+TyyYbNzYw+ra5cm9PeuWl4Y8D/3HOXI8DQ+t4N/fHAff/3fbiPs93BuOs0jh04zo5VoiATo7oqgmSYtwTCTeVgZ7SPh9bIq1kdbOM7eiTGeHh1lIp1lRaCTfNri746JtLUd5Ya6VdT7/BiWA5dsYlEhV3Xx2PlJmoNltjQ2s7WphflyiT964lEqpoFDkjBsmx+dHaczso33rlq7ZAZ0wPbONvZNTlLr8zGbLpDKl4k43XQ11Fy4rkfHZ3FKIndsXY1pWThkCUXTmZ5a5MzQLMGwl61bupBewb8jigJ9P0WGAJlqhYjHi0uSmC+V6IrVXDAT1nr8mKaFIdtELRebQw1IkkS5qhIRHFSrGpPJy4vsvl5cXdvOd+amyVslPA4nNzesYSA7ycHMCO3+ONfVrrrgxwq43Pz+1u10RGJ85ehhskqVWtmDXbFwexyk8kX+4KFHOF6cJ+r20BwIksHAtmwqqoZtQ75S5dR4krXtr64y72jxIGBe+DuvZfj9x77HiTkHHlnm+rYO7j03TUxxEfS5yJWqjCcX2bW5l829Lai6QVXV8bh++cqaNDXH/kuIas+ePa+77esmrn379vHss89y3333IQgCv/Ebv8FDDz3E5z73Oe69914SiQQf+chHePrpp9mxY8frHuAVvHEoKAr3PPU4c6USzvMaZmOebKBEThUIeoJ0hWrJVlROzSeZOJ/Br0sQlTk4PcnKeITJ4jSz+QKKZiL7REzLwrSW6kp5HU4ePHCa+YUCumUxm8zzqQ/uuuyLv1io4nU5CHndzC0WKSsaYb+H05NJDpXnmFSzVEpVVltxbNtmMp9DFEWuadjAytjSxDWWzfK3+/eBBTO5PELaQlEV2ggSb/LwePIU9XaC1kAnowWBZKFMxBUjWaoymh0D4OqmZur9Ad7Zu4qDM9MYL9TEag6FmSkU0EzzglTSb26+ioKmkqqU+Y1tm9meaMXvdhENerFtm7/dvZeT40kEbK7qaGZ9exOGw6a9JoLlEtg9OoauG/jjPjb2XD7hciSTYTyXZVNj4yXh3m9pbuVHI2fBFrimuWWZavrqSA3tFS/JhSJb6hu46ZqVlBUNI6swODqLx+mgrytBoawQ9L38bu/V4jc3baVrrIbpcpobWrpxOCQ+NfB9RGBvaggBkevrVy1r847elSR8Ab4/NIjLFJg4v4hgwlQhT05QqPX5mC8WqU4rxE0PgtvCsm3WdzbS39HAdCp3WeJSDIOvPn+YM+k021ta+ZXVa5HF5bqORcXNSEagouvkVZUfnDlNsxSgK7C0O3ZKIggwOJkk5HGx+/AwpmWxta+VDS9xv67gzcPrJq54PM4nPvEJnC+YBDo7OxkfH6e1tZXm5qVQ5Ntvv53du3f/UhJXXiszkJui3V9Lgzf6Zg8HgP0zU0wXirSGwww5ptCDJZwVGZ/ToBLUyVZUrm9rQ0tpWANFcoaFJQk0rmrmUPo7ODzzXLeqhspEgOFyAbcmEQx7CLidNAQCDJeTpOQqoigwrGRZLJZpdF0qfnrnNav54v3PMpctsqWv+UIibm3Ez2g5i+hWcIsi08Uid6zqoF6uWVp1KxrZaoWsovDw4FnmswXCDg9UbObUIrKok0yLCIaIhk7Y68YpuVkXX0umUsYpSxiGyfjUImLBZlU0TsDr5vbePkxsvvr8EQQB1iUa6IhEcUoXHf+JQIDP33LrZa9rVeLhad0AACAASURBVNcZnEzSFAuSLVTZfegsR8dnESSBzu4ant87QbGk4pRlPv2NJ/jun34A6YW+Lctm76lRHh4c4qnMOJJHIu7z8W9vv4uY96I5rC9eS1MwhGlbl5Da8cNj3LF2KT+qWKwSCLr59b//DrPpLLYTRKfNWDLN//zP+/hvt26lkNEopKtsXNFEc+PlV9YFReE7gwNUDZ139K2kKbjcLymLIrd0rgCWfB9HMucxLZN6b4ykkmOykr5sv1c3N9MXj5Msl8h3VcnmKtTU+ZkYL9HmCWCWTXxIrG9tYGYhR8jnpqsxTrpYRgxJPDs5zuaGpmXai7tHhnl8dJS4z8t3BgfojPqJuVoo6wvkzXkceBDU61F0EcOqIgIOUUDyiHTUx4gFfRxbmOW7I4M8MHKGXk8Nm7ua8Dgd7D8zwZqOxLJK0lfw5uN1E1d390VH7/j4OA8//DAf+MAHiMcvmoVqa2uZn5+/pG2hUKBQKCw7lkwmX+9Q3nScSM4xlstyXVsHYbebRa3E7xz+N7JqCYco82dr3sX6WPubOsavnzzOQ8NnSJaLBF0u5IQLU3Cg+8AbdtLoCPCpq3fSFY3xzQcP0eoNQUCimlVodqsoooWq+sixwLZr13FTdRUnM/PUhv3c1N3F1qZmhiZTzIwUl/KCIg4EWcCwrAu7g8lUloVcmZa6MJ/7yO2UFY36SOBCVN6WFS30nq7hTGkGhyiTCPjwOGUmKykOT6YoGwpe20N7KM58aqlmUsXWMLAQFLDdEvPlAslinvf1bqPRG0UzTebLJe7o6eX7ZwbZ/fwwWlGnGlG5f98gd9+wAVEUuLN3JW9f0cdkPo9umbSELi8tZNs2pxdSpMplemviJAIB3A4HDfEQM/M5CgWVoM+Nx+tANCAzXyKVK+OURAzbpKJaaKaJ5wXimk7nODE6y/lKFkM1ifl9LJTLHJie4tae5Q7xgMt1yXgAAkE3ucUKggCBoIex/AJn8ymctSLiuEG5qCC2WuQqGT7xw/uQz7mwLBuPJHPb7Wt599XrLiHDLxzcx7FkElkUOL2Q4u/fdvvLhrB3BxJEXQFmKos4RJGrYi8d2BByuwm53RdSCSzLQnGaHEvOcduKXgaKM2SLFSzLZvvqDvra6vjq4SNMz5cYr2YpaTq3dF2cf4qahiQK+J0uFqsVKrqFxxemL3ozFS1LwtNHPtzGUxO7KajgUEUcWQF/VOatG7sp2ipf+ffnkUQBj+xgKJNiZVMthmnhcV0R8f15xM8cnHHu3Dk+8pGP8PGPfxxZlhkbG1v2/eVe/q997Wt86Utf+llP/XOBbw6c4C/3PoNlW8S9Pu577/vZnxkmo5ao84RYUAvsnj32phLXoelpvn9mkBqvF5kiqqHznlVrKdkl9syfJury0SxdNE91tMZ5VpYQdZHG2hhOT4A902PkFQiaIh9Y0U9vTTuzxQLfPzPI/ukp0pUyt63rW9LWMy18HiffOH0St+zgnX0r0coGP9w/iCyJPHn4LNd0tNDXk1j2fEiiyP/a9Tb+Y+AgI5U5VtXH6As18sOFQRAsTFEjWTSRHdATTVCuqvT4owzkk+RUBb/bSVnXuC60jhb/ku9pZbyWs+kFPvnjPcyW8jhV6IpEwCmxUCihmyauF8q1CIJAa3j5DtG2bTLZElVM4kEfo9ksDw4P4XE4ODmf5NfWbyDocvPxt13HE6fPUa3qLKSKnEmnsUQbS4PVbfUMTaSoKDp3XN2Hx7ncjAUQd/s4R4acUkVySbSFX32ZjutvWs3Rg+exbdh0VQf7y8PUxN2kUwpmg4hkiQhNLjyyg0xeISIKVGWbimpwfnKBJ+Lnedeq1cv6nCzkiXu9uB0yM4UCFcPAf5lx/wQhp5ctnrXcO3KUsMuL0Hl5kr0cRFHk1zdsuvD3MzXn+fGJ85wuVPjnhw/gdjuQmmRqPX6Op7PMlopE3G6ualqy7Ozs6GLf5ART+Ty9sThbGtvQ7ADTlePEnK1oZiP3DH4dI6oTMh24R8LYskiyVOaPvreb/jWNGJKFpUPV0tkUT9DZUIOi6Wxd2faKPskr+K/Hz0RcR48e5bd/+7f54z/+Y2699VYOHTpEOn3RRJBKpaitvVSR+oMf/CDveMc7lh1LJpPcfffdP8tw3hR889QJREEg7PayUCnz7OQoLfEogiCQVcuYlkWT782NyCnrKiJLK9K4z8c7+1bx7lVryFQqiKaboqqyMdFIzOPhwPQUe0vTRK+qIVCRcYddPHgmw5zdQFNUYDzlJNuy9CKPLGbQTYuGQICzmTQ9iRSRuuPYei3zi+00BIOYtsXT4+PUGi7OpuZxWgKZqRL6XJmnD56la20jqzsbLkTm1Xi9/N6W6zFeyAEqGQrPec8zkFxANW3iPs9SfpBLYFNbE9tqm+lsruG+ZwcwVJPGRJjeppoLv/3o3Cz7picZzy+iqAaKoVKerhL3+FjTvxqX46VfAcuy2fPkAN8/O0hVtGjsDlMUSqTzGlcl2tCwKagqQZebqM/Lezb3AzC/WCRVLGE7oFrROTgwSVtdhJjfy4d3XbXsHE01Yfo7GpDGBRwOCd1rcWfvKlbVXgzO0AyDpyfHqeg625paiPt8y/oIBj1cf9NF4onofnZc08DYZAlE2BRr50ejJ5D8FrGMB3XBRi3rhN1uYvVBFMu45Lff0tnNNwZOQhW2NbW8LGkBFFWV7w6eptEbpahpfOX5I/z1zltets1LobM9ziMjw0zn8jRGgsymi4TzHhadCplKlY2BZp6eGKcpFKIxEKTO7+cLt9zKcDLN1GyWs5Mp+jsa6A3sRBQFvjz8OIqp41bdlMYFqkUdzQQxAMfmFeyQQFMkSLmioVkmu67qwxVxsiaWoDbw85W/dAVLeN3ENTc3x0c/+lE+//nPs3XrVgD6+/sZGxtjYmKCpqYmHnroIe66665L2gaDQYKvkHz4i4KWYIjz2Sx5pYokinRFauiN1PKxnlt4Yu4kK4IJfrX1mlfu6P9DXNXYzKOxEUYWMyQCQa5vX1Jbj3m97GzpIl0ss6axHkEQ2D89Sb0/gLtZ5lt7juEYEyioKkJEpJyIglu6oIfnczjRLZNctcpAeoLjuRM0havYwjjjpRzJUi/9dfUkfH52j59krJyiUtYwdJuiZmCmTAINQZL5c0QCHhLRIKZlkS0uBW943U7CTh8f7t1OT/AcRzLjxDweEq4Y68PttEeiuGSZfrUBHYuB80k2NDXgki4GhIgCVHQDEQGHBZLPxcZYPS0VD5s7L8pCWbbNyGKGxUqFkNtNUzBEKlng6wePM+dVaXR4OTo7gc9wk9EUHkyf5s61a4h7l0hkPJfliZERzu6bQsvr9LTU8uFfuQZPg5O2WISKqtMQCyJLS6Q/UyhgWCat4Qg7+jvZ0d/5kvfvr57by6Pnh3FJEkeap7nn2utftr7Whmg7giDQH6uwJtJCnTvEW3t7yOllArKXQ92TjE1nqHosvGE3N7R1XNLHXStXs6auHs00WVkTv8xZLoUAWNhY2IDNTKFA3Ot9TVWJbdvmgaHT2AJYQEZRcEgCEctNjRAgFvPQHoswWyxivhBMA1BWNL583z4K1SVZqbesbkMzLGqCPlraajBti3xBxZYdOCKgZUAWZCpOHWWshEuy8Db46EvUMlHKMaeUeH5uhg+v33hFF/HnEK+buL761a+iqiqf/exnLxx773vfy2c/+1l+67d+C1VV2bFjB7fc8vpWXb8o+OyNN/NHex5nqpDn7jXr6I0v7TB3Na5jV+O6N3l0S/A6nXzmhptYVBQM0+Tx0XN4ZScBHPz7niNYtk1nbYx73nEjdT4/yVKRkdk0lm7hxokhOZB0kWpG4abuLoLlpcm3vz5BWdd4bnICh2QgyBZnZmNYeFFMkcnqLN11AdrirTwwmmPVijin5pIshsoUsiqKaOL0O9A0E0UzsCyb3YeGGE0uIooC73zLGhLRIHF3kHd0bORtrWtRLYOA7F5mYvQ5nDgLImsitaQXyjx6ZIg7t60BYF1dAp8ok60qSECj5aVXDxGOevD5Lpqz9k9N8O3BAQZT8wjYuAUnrjK4dAvBspkoFRD9IJrglaCiaLgMCZcsY1gWXzvxPKfPJ5mZzhCQHJw6kORkfoZPffgO6iLLF2k/HDrNvadOkK1WsWyb7liM3736GnovQxDH5ub47uApdMvCxuah4bPcvab/wnN2OciixObYciJsCkRoIgJA69alYCHDshAFAfElyoT0xGoue/xyCLhc/Pq6jXz91Am8ssxitcr/2P0Qdf4Af3HdjUS9l8+7misW8TkcBN1L0Y42oFsWPa1xJqezzMzkWN1Szyfeez2iLPLU1CjJUpHVtXXLAkYmUznKikZTPMzwdIr7nx1g+5oOsG1q8nE2xdoZMxdJTQCGgO2xUEIGLk3kptZO5JJFZ1sCu8nJvzx1iMxiGdkjc0NLB+sarxDXzxteN3Hdc8893HPPPZf97oc//OHrHtAvGvxuN1982+1v9jBeEaIoEna7+f3HHmG6kMeyLYS8TdzpJez3MJrKMJXJcXtPLw8NDnFgdhxDtchYCpJt0++L4xq3mK6k+dyRPbzv1k1s29zFta1Lvjtx2mKiOsa8ZaBaMhUkBIfJofIgwZQBfpNkMYsdNAi4AtSHIiwslFkolOltjNMYC7JYrDA8u0BSKzOfK7K4t8onbrsehyRh2RapaoETI3Nk0wpdDTVc1duKKAoYpkVF0ZjMZDkyMcOjA3AoNYXqAa2kMzCbJGa7kDwSO7u62BJtobOnHodjKUBCN03uO3Oag9NTZJUqtm3jxUFU9OD1CHQ5QhQ8Jjet6+Drzx0laakIgsS3z5/iro2r8TmdDKXTiAhYtk3KqBARHaTyJb599Ci/tWN54u/9Z4cIOl2MLi5i2TZFVeVfnj/M3+x827L/MyyLH50bQhC4YDoVBIGnJ8ZflrheLeTX4LvJlqoYpklN0PeS9bB2dnWzs6ubR8+f48tHDtMaDjOezfLs1AR3rLhUFf7vD+3n8XPnKRdVrqtr49eu3UxDLMiurh4ePjfM1qvauXPFymVKK3dH1mFY1oWinj9BS20Yj9vJyMwCs+kCTlli/5kJ1rbXs66rka2hFaQWhsgFcoiqiafGxUc3bKF0LIdXFakaBol4iKlqhZm5PDigOl/ly48e5FN37aQm5Hvx8K/gTcQV5YyXgWlaPDcyTq6isK27lRr/yz+8lm1fKJrYFo4sc+pWjQrHUvsQJIVV0c0EHXUv09PlYdtLWt2vt5BeWdOYKeRpDoao6jqThSzFqoqqm3icDmIBH36nk5HTKYKak5XxOAvFEltbmukP1vBgdQjL0nGJIruPnmXLhg5kSWRdfYKRxUXgBno6FO4bOYtaXXLmm5SZKxUoaTou2c11TWtIFlR002JLTyvvW7WWqN+LJIq4HAZ5TWU2W8Bhi8yrZSbzOTqjMfYtDLNnZIhzg3l6amtZPFuhLhKgIxHD5ZBZ2VrLvSeOgVdAFy0eHzrPip46RucX0USThOAhkywxGSzRe91SqLNt2zw9McaB6SnOZRep6hq2bWMBVQzqAj4US6evtZFdW3rpSMQ4PJMiOzNFxOOhpOucnE+yo62djnCUCTuLO+REXzTxh12E6z3ohnnJfaj1+RjOpNEtE4/sQBZFLNu+5P8s28YpyXTHahhMzSOKIuvq6v/Lo9xOT8yz5/gI2DZr2hMva9YECDhdgE1eqZJeLPGtR4+RGs3zoZu2IMtL78RCucRT42MIFQvBhiPpWeoPD/HhmzfTE6uhM7LkJ37xblAQhBcWMvay7yJ+L/fc/Va+9tgRLBuiQS8TySxul4MN3U2sExv48t4BXE4HQb+HXLVKfSzM+rd3c244Sbw2QGd3Panz4wBUVB1RWHrnnhsc4+3blgevXMHrx+WEK14rrhDXy+Dbh07ww8OnEUWBPQMjfPa9b8P9Ms78p8ZGOTI3A/I5Yj6V3tA2GvwttARD/OuJRxlenEaWnCTbUtze9v5LkiRfDqcWzrBnai+iFePO7rdeovf3SrBtGx2dplCQgeQ8ggArG2upE724bYkb13QR8roxraWkT4ck4XU4kEx421tWISOyeOQE+aKGbpn0eEV03USWRIIuNx9at4GqrvKZgQfQBANLVlBFE6Essk87j2aaGIrEfFrg5vYV3LVqNQm/H7e85I+ayGV54OwQeZ9OaqGMLdtUqhpfHniadVIL3z1znLytIlYtKFps9nVhmNYS0dg2m3tb8f7YiduWWdArGA6LgNNF0OMil6+wkCnicclU0gp/d99e7r5xIy6PzOGZGZqCISLuBeadTjTLwsmSg6WgKcQbINeRxBFcqut1fWcHp9IpRFEk5vXgd7k4PDvD2ro6Qm4XW1ta0MtVjo9OEwl6eNeG9RfugWlZTORzvLN3FY+dGybi8rCoVhEEgQ/3b7zknjkliZ2dXdi2Tb3Pj0OS6YxGeFvXz6YbV9F1Ti+kcIgiK+O1nErN889HDiFJIh/bfDV9L9rNHRuZIexz43LInBqfY+vKVpwvvAdVVWc2k6cm7CPkXTKpXd3YxF19q9g9OIwrL1IX8vLj46N0N8bZsXaJ9DwOJ7IoMlUuLRG4T8Y0L/qs9o1M8P39pzBsi6bWMF11Nezq6sEGfnBmgFOpFD3RGHetXHWhpEwiGuRd29dydjrF0EwKywZHwHFBF3JLfQsPnhsmW63gkmTW1taSCIdJNEYuXnOvg+ZEmNHJDLJPoi7o/aWLKpycz3JgaPJCBeqre1toqYu8csNXgcsJVzz++OPcdNNNr9z4p3CFuF4GT58dJasr+DxOktkimVKZxshLE8bgQopw4DRl8XGenqjnSXMCv7CRa5u7mczlifvdaLqDkXQFs1VH5tURV0FLsSf5vxGdOjbw0JjF/73u3a/ptxxID/P03Fmm1QUSYR8j6RxDmQWGBIHGYABrUsKQBDYmGrhj60q+u/ckqcUSZVXni/c9i9sp091Rz77T49giLBRK7B0YZeempUlUFATyeoXDU7MoZQmf203Q7SLuDDFpzKAoBpIIyAbj+Rzt4eUvwhOj53HLMiomM5SwLZOo6WJ6psho6RRJsYjqKmK7oZissK6zHd1p8N+f+B5FTeGdPau5c+MqHh88R8zjIxrxkKlW2dDcQO+KOIdOTuCSJAZGk0wlc0ylcvzee68DgaW8rUAYu2Axruboqo8R9LmZMCbxxx1MVjJ8efgJ/p/+d3NbTy/ZqsKZzALXNLeQKpX4wbOnKBQUahMBfu+m7bRHIpjXWsgvMmc9en6E48k5xuYyBAwHKxxRzLiN7YT9s1O0RsIEXcuVLdbVJ1gZr0UUhNdk2itpGt87fYqCovL23j5aX7jetm1z35lBZkpFLMtirljkGwMnkEQR0zD44qH9/MOtb1/WV13Ez5nJFLIkEvF7L/yuUkXlL7/9JLPpAh6XzMffeyOttRFEUeTutetosPz86+RhvB4XYrGCql2MXvQ7nVzb2k62WKU8r1DKKih1GopmoFoG//LkISzDYqqQJ1UpcXB+hh+dHaIzGuX4fBKPw4Gi69T7A9y+4mKx0K7GGuqagszkCnjcMvtPjzN+1SJttVE+ff1N1PoCTOSyvHfVWobHF/jB5Cn6muu4sb8bURSIeb2s6k7Q2VzDSDJDWzS65Cv7JcHkfJb79w8Q9LipC/spVTXu3z/AnVtXvyHkdTnhitnZ2dfczxXieglUdB3bI2AbNvlClXjYTzzw8qbC7miU06UBqroT1QgAKnl9kcfGzlFUoKCX8LsE3rd2BS7p1dvMc/o0CDqCHcUih2qOcvzEONlUifauOtraXz7qy7BM9qaGGC2myWlVqrKGKLxQr6lcJlddktt5ZmKMDfUJ1nc1saKplq88coiTY7PURQKMzmUQBQm3UyYW9OJyOkguLq/RM7yQJZsHQTLJFi0SHj8fWr2Fzxx/EJwVLFugIGRZWb/mQhtFM5Z04QydE/NJzi9k8NgygktENU2wQbMtXH4TrSSBICDXWcxX8vzriUNUDBWPKPP1U8/z59fuZGtXCzG3j8ZAEM00cEoyLlmm1R/kHx7YhyQIdDfGyRYrVMsqOzu6ODA9hVU22RxpIO71MbSYRhctMrpGsOTGFGyOzmT4J/0Qd/Wt4sMbNpKpVMgqVb7y5EGmxhZRJJPxhUX+KeDi3f2r2dy4XCbIeiFxWTBsphZyVE0Drz7LfKFAKCjR6W9gU6KRDYmGS+6fU7q8akOhopCqlKkN+Am+KDn5y0cO8tzUJAB7Jyb43ze/jcZwCN2ymCsVaQoEUU2TyXwOw7LwOhzogrV0zV+E7Ws6CHrdqLpBf0fDBVPl6cl5JhayqEGbsUqBrz53iD+/c+cFU/ZVvS3sPTXK6FyGtvooV69sXdZvRyTKtsYWptVFhFoBzbR4fnQKT9BNJlNEsET0qsGUkUN0O6gaOudzi7RHYnhkiZyqIF/GbOoUZSwBJIdEpaSRLVZoq40iyzK/v+0tS8/q9AJ/dPAZxrQcwrjAJ1B49/q1dESivL23j+lCgQ9u2kBb+I3Zafyi4MDQJEGPm4B36Xn6yeeBock3hLguJ1zxrW996zX3c4W4XgKSsCR0mogEyVWqbO1oecWw3ps6u9FGNnEi9RjoKkXDRczpYzKfp6AoyIYTr+hBz9ZiWfar9lVEHM3EvSHGx/NMHPKiLDoYsJ7iqhWtjJ1PsevODdTVhV4yOkwSRDTLANHE55apKksTeknTMGyLGq+XxWqVqMdzYdLxup00x0McPjvJYqGM1+ngQzs3ce+eoxRKCh6nzPY1F5OqddPk8MwMXsuHz2+TlspsTNRT4/eysTHB2ZxAUPKjCxqrXjDNzGeL/MPu/Uzn8qguE1fMgW5ZuGUHqq4hyjprO2I4sn4ezZ9AcmtIlkCN14tLk6mYBovFCrpqkTMr/NGeHxH0+nhPTz8dkbW4ZBnVMNgzNML/+vZT5ApVTNPE73HSEAvTUhsl4HXRWxPnizPPMVUs0OD3M1rJsKGunlBZ5GR6ClmS2FHfgygIPDU+itfh4N+PPw82qNMqFVVDsS0kW0BUbM5m0pcQl2FYNPgCfH9igKqtY1QtcqHSkn9LExkpzoNwKWm8GKZlsX9wnP1nJjg6P4vtF2itjfDb27cti7Ibz+XwOhxMzC35Mf/4W4/wyXfeREdtjL54nMHUAmCzo7WdzmiMrxw7giQIfGzT1Zec0+WQ2dLbcsnxaMBLUdQoqyYOSyBlVpkvl6j3By48Q3/2gZ0UKkvJ4S9W3tjW3MK5uQWGdYP+ugQFReFvjuzHdthUPSaeKvhdToqyjs/ppDUUYjSbJep2kyyVWFef4JqW1kvGdWNfByPjKQzLprehltrQpblY0/kc59RFgg43FV3jP0+f4N3rl6pC99bELxvh+cuAhXyJuvDy6+X3OEnlym/oeX5auKKtre01t79CXC8Blyzz9p4+npoYZY2znp1dr1ybRxZFHLmrcS3arHFnOTsfIBoMM5yeQrQEzLRBzqkwMJLkdMM8q9vqX9VYnGKEZseHOHZkH6JtE5ACpOfz5FZoTE6meeabSTp6avnYDdsu2Pt/GoIgsKthHd+e2E9Ng0RIDHJ70yYmcnlckoRmmiimgdth8tjYKbY3rcDjcHLr1X0omsFkKsuN67vZtKKZNZ31nDw/h41NNHhx1/iPRw7yzOQEOVVhQVcIhyT2ZI9y6PkhPLIDS9JxuE38kotmX4yiqvLVZw7x9MQYDpdILlXljtbVrK6t4z+OHqOiakiSyLmkypduvZnm4TAPT5xgaqFAoBTC6XDSKEYZLCaRvBCQZSplG4dkcO+p47ylqYsar5cfnTvLN3Y/T6ZQxut2UK1a6IbFR+/YdmE1+cjIMMeVJFPTOQpKFTEs8bWTx2kOhdkQ6SIRDBJyeShrKmczRY7NzZEuV6BkUawoOCvg9Eg4XTLZYoWuyEVtSt0w+f5zJ9h9cJiSqqEGTNY1JUjOFUg6y0gBE4foJByU6H4V4ecT81mOnpthNJVlMV+hM1TDXKbA0dnZZcR1S2c3f3dwP8WqSo3Tw0KqzJd/tJ8/+9Wd3NLZw5raeiRRpDGwFKq/o639wjP8atHVWMPbNvWx+9w5miMhGurDSMKl7YPeywv7pitlDIdNtN7HbKVAQVRxeSQCHpm0t8iWukbqPEGcEZlns1MsKip3rVzFbT29yKJ4gSBfjC09rSxky8wtFlnVVkcieql5vyMRwynLKLoOskjEdyXkHSAeWjIP/uTdAChVtTc0qvLFwhWvB1eI62XQEY3SEX1tArlz5TSTooYk++mLNXHH+vUcmJmmquoIpoVTFon53eSKlZftJ6MWmSyniboCnJxZ4HQqT67iI6crOFDJ6RpHTk+QNVRaOxKcG0+z+/Qw79t4+dyxDdEOgg4vWa1MR6COGleAlTUXIxu/ePwxHh05gYXFDyeO8vlr349TlvnVG9Yv62d0NsO3fnycbLFKPOzjd96xnaZ4mOeTczQFgwR8Amfzs/TWhxiplChZFZSyl3ggyKpgK7c29RMWA9x78jgnMvOUVZV6dxCHrDG8uEALERQM4mE/um1xPJXkB2cGeWZynGTGQih5WRRNzohzlKww7aUYDZ4QB+3zJE0No2oh2Q4GU0m2t7ZzPpsl6nUzKQiUKxqCBVGvmwNDk3Q3La2qz2UySE6JQLOHuUwZpyggWBD3eqn1Bbi5vZuTC0lqfT6Oz83hlmQUTadaVZG9Eg6viC/g5qq2ZtZ1N7DlBSmiglbhz/c9wPNHkhgFkYjox1GUqBQ1tm3qoC2wln3lASzZ4q7mqwg4XnnyNEwLQYCI14WdtclUK7h8MvX+5avkW1f04ne4+PyDz1BdVLEFG0MzOXhmgjU9CSq6Tlf0oqLLayGsn8YH37KR+voQc6UimxsaL1H1eDk8MzFOWdNJ2mV00USSbabMSSyzitggUAx6+Y0VUYeDhAAAIABJREFUV9FRX8M7yqvRDJOmUOgVx+pxOXjXtf0YpnUh4fvFaItG+Z23XMM3Tp0g7HLxJ9vfuFplv8i4ureF+/cPAEs7rVJVo1BVuGHdG1NU83LCFa8HV4jrDUYyOEA2n8XUYDGYw58DhwPcXglLtTB0g+HiHLtqel+yj5KucN/UIXTLxLAtchmBuOIlWCwzqaWotAuIfT6SC1V0wSanLdBkBhDtlzY9CoJAd/DytYws2+Lw/ChuyYFXcjNeXmC8kKY7vHxH+KOzQ3z+h3upZjVW1sXJFqscOTtFUzzM2to6np2cwLBNIj4XZbuEZYIsOCloCnJFxMr7eCw9zr7JvZQEnWs6W5jK58lbKq4aJxmtSjlt4nU6yakqNjbt4TBPjJ6nrGskiyU8lkzZNJnLqMw4MzgUJ9eu7WRFNMoXTuwHwSboFUkpS2K/fTU1VLsURsZSFPIaQRtiVZOqql34XZsaGjg+P8t8qYRl2xi2hW0v1ZHyO5301NTQn0hg2TbPTU6g2SYOWaIqidTgwRERcXpkdvb3cHVf6wWT7cHMCLPVDF7ZSdpSUGyNOk+Qq+tb+LWrNyMKAm9n7at+tgqqyrlyBtVpEQ14uaa9FUfUwdbuVjY2NGIaFoZp4nqhlMyOjnaknfAvDx+kORYkFPTyjwOHGDm4iG3bdESj/O2NtxLzegi8xK7oleCWHby99/+w997xkdznmee3YucEoJEzMAAm5xnOkBTFHESJooIl2lSyZK+81mntte/j/fjsXdu6Pd2urdUp2HKQZYtrZYlKFkVSjDOc4eSIGQCDHBudc3VXvj9AznA0pCRK1J3X5vMPgEZX/aqqq+v9/d73eZ/n2h6tnwWSIPD84hyFuo4gCuDRsINVJBkQYcKe4PHiaTaJw1wXfz+q9OrUdl4paL2I92zZxoObt/7c7SX/GtHdEuOt+zZxZHyBVKFKUyTALdsGXzNW4SsJVzzwwAOvaj+vB67XGqrGloEoy9Uq45UiE+VlbG8Z2fFhtwg0ql42b23E9OjXbFo1DL4yepbVWgnTl6c/0oThWLREPJz96ik0sY7ZZ+BUbPQeEdNQCOlh6pZFpMHL3RuGSFeryOIa8eJnhSiI9PlbOFaaQHcswpKfiOfq7SuGzmeOH6HiGtRsg9OLCfrCscuqEL+9+zo2xVuwHIet7c0s1tJ8Z/osKwUNWdTYGekhU64ztpSkKxRhJVdiLJXm1q3rGGpo4J+nLtHg9eG4LrIo0OD1E/So/NrmrXzj4iiLxSKGaWGLNoIBnpqAEpQwdIvR2RXuH9rI9q4mdF3EcA2iAQnXdblrcIiRpjhNZwoIMZis1SkWNW7ccKU+98befvyeHA+dW2Q8LeDYQUzHYVtLK3cODuFT1gKBblk0B4IvEBss5nNFFlfzeAIyv7VvLzf29V9VZ5QRcf02oTYvhbKAYMBARxN37hp6xXrkS5GqVtBMk/ZQGNd1+dizTzGdzwFwe98Av79nbZWQq2kcHJ/mRwcuIDoCd29fz/X7hgC4YX0fXknm0Ngcj6Ymma7leZHbNzqZ5I/Tj7Kvu5u7dq/1qf28KGt1JpbT/Nnhp5mrFmgPh3jore+kOfjKWn/DTXGagyEcIFeroQjwIg9FwMFwDLLmNOcLkwhI3Nj6mz/38b1STfmVgla6UKFaN+hqjv6bo8N3t8Res0D14/hJwhWvBq8HrtcYt7ft4gfLR8lbNRrUEE2eMPFYiViwgbqk0RBUUVWJNt+1N8YfPfUjjiwtomOg+k029KXoDcT50OCt2NFFZuUC80oRx7CxHAtXEDFVk75QI+/ZuoMvHjnFkfQSVdfk+q4efm3LVjpCYZZKRT5z9HmKus57tmzl+u7ea8b+g7338ND5NTX7ewd20Oy7ui6gWzaZShVDNHCDgCvQ1xZj60AbiZkkmeUsOwZaaWpfS612BGMMhtt4duUSz8+sECCIKdRQRQlZEmnyBBhpaOI9O7fTEghyPLFCqlrFcV26IhH++213cWFuleNnl/CIIj5JRlUlvLZMVahDCIyajVkSGFtMU/ruSUZuilJ3beq2xJnSDAvTKW5r3cxgQxxt9waOP3qaERf6do+wvu/KarJqZbGUc9w+HEGQVihrUTY1DfPg1u1XpaV8isLG5jgXUilEQeTDe/fQF43x+PQkp1cTLJfLvHVoPaIFPp9KoQBqPcKylcMnqrQEIyiySPOPFb9d1+VUYoW5Yp7hxji94ShfO3Oek6lluhui9MUauLGrh4VSka5IFM00OJdOAZDVNP7y6BGeODOBaVmsizbyjdNn2bqpm2DIi+u6fHPhIgezc2R0jcttzg5IJhiSjd+rcmpq+arAldE0pnJZmnx+Bht/ckAzTIuHnxvl6bkZpnJZvLLEQq3AJw4e5L/dfTcAM/kcnz95AgeXD2zbwXBTnN5olM3NLXRHIpxKJBhqbuewmcXGRsAhrlaIKAYWLqv62E88hleC67ocOTzFVx49QapSZddIF//ugTcQCvsu/z9VqCCJ4uU6zsFzM3zy4QNUdYOtfW18/IP3XPZPex3/MvB64HqNsafpDYxENjBfyfHXkwdZ0XKMNMa5NboTC4eOmJ/OQANx79pKxbBtvjZ6jgupFIeXFol6vZQdk1pVZnOkh4jqw4+PyE29JB45SshS0TeqCIpLQ8CLgMNtPd2cvbjMI1MT2DiYjQJPzEzhkSV+c8du/vr4MeaKBYKqymePHWVra/s1at9+1cOHd97ysufkuA5LpQxNHoWEYeGILp2eKNsGOigs53nk80+QrWgsZ4rc9qFb2b19gLH5JE2RAPf37uANzSOktSqNXh/fOXaBoytLbGqM8++vu+5yUfx39u7ny6NnUUSRt4xs4Adnx/mrbx7CdVws28HbqSBKIkUMRJ+IiIidEmgI+BjuiJPIl7khtBHNp/HQzLMICFRtnccT5/jQ4C207eyhK+gQlVR2bhqgppsggE9VsFwdXJeBWBveEZOIvI7t8X0vW0u5e3CYbS3tqNKa4ePFVJIfTk7S6PdRq+l87sjTqHVob44y12awP7Serz11irpuonbLTC1nyZSqtDdGcF2Xxy9McmRugaKgM9QaZzo3QSpd4mQqgeU46LqFrlk0KT4CisJsPockitz9gh/V+EqSR06MUXQNBNshVauiyEGkFxQqnl9a5Nn5WWJeHxlN43KLr7DGFuwORClpdXpfMsMuaHU++cQBTNsl1ujl/g2bfiLLrlIzqNR0QkEVJ+1iWQ4osLSUv/yeTx89TEqrIiDwieef42/ffD/NgSAPbtlGqlrlbSMbObOaoN0Oosk5CsYhOv0LuIKLiESr55VT6z8J2UyFJw6NsVwoozpw8tISjz99gbfft2ajcuDcDM9dmKVYrXPXriFu2T7ENw6cRTctmsJ+zs4kOD+3yraBjp9r/Nfxy8HrgeuXgLDSxOZYEx/b2s5qvUBvoAm/fKWGUDEzHEx+i6olsJpp5+9OnMUFclqVil5HUqAxpKBIEgF8fOiRfyJT1fFuDhL1t9GlGmSFLN0NDVQKVYSSjdej4vUr5EsagiXjC8gYto1uW2i2iUeS8UoyJVe/rHv3s+JQeoLnli7hcUwGfQF8doDru7p583UbWDgzR7mmcyidoeg4TDx8kK3TS6zriHN+dhVRFNnU23q5aP+bt+zlfeYuPIp0VZqmIxzmD298I1XD4KGzpzkxvkjBrdMTibKSLmKUHLxxmYpt0iT4kQ0Bb5NEPlXj5PwSW7raWdfcwrfmTrCU0mmL+klRoMkToliv8+XzZzFdh2dmZ1g99DheXebOjkEeuH4bfe0tRNVOCsYycX8TYaOPQ+dmcX0Csldi+AXDSFhrtO54wdng9OIyH3v2KeYrJXyKglcXaJmDptYwCxMF+sLtPHV6EsOyEBAYX0yxobsFR3T55tgox2YWOTA2iy042CJ0haO4Akxmc3QFI6xoZS4mkpTTNZ6fW8BWHBRF4rbOfqpzdR7KnkCzDUzbISjLlB2TEiYf3bcFn29tYqKIIq7jkq/XkAWBgMdDWzBETzjKnb2DhCwVv1dlx2AH337uHN86eJ5CtY7mmPhUhebWEEudpZ8YuEIBD02RAP22RciS0Tw2DV4v2xracV0XQRAo1nWCigdJXPv9RYPR5kCQ5kCQiqbTF45dZiAuVYY5nP57qnae3sBudsd/9VXdsy9CkgRwXVzXQRTW+gBNcy1ZatkOB89Pc3xyCctymFhIMdzZQkPYx/iSjVa3UCQRv0f5KaO8jv+v8Xrg+jkxvZJlLpljqDNOV/zlTf8aPEEaPFenhRzH4pHlz/JcqoztuqxkYjhCIwISXlmmMxyhwefjg3s2U56r8vihUcp6ldi6IJqjE/N6ual/PV8YP8j42WWCOYXZaJIVwSDiV7G9No5fYqSpmc3NLUQ8Xj6wdQd/fvggKU3j/vUbXpVNg+M6HEpNsDytEbNDLOoZ9MYyK+0iGWuIlr5msrpJyiOiSjIl0eXScpoNA60sFrOcXlpmU28rhm0gISFJa03ML6JqGPzj2VNMZjOsa2xif2c3dduiuznG6HiClUIJRGiMBAioKjXDxCfLGJiEgwEishdfROHW/UOcTSX486dPYNgmU8t1tq8Lsrt3Hf/picc4l0rSGQoxV8jjNUQ0LM4UEnSNRuht28mphWYuZU3W+Vo5ePh5Co5OWqpx85YBziRX+fUXDCNfxPPz83zqmcNMVfJIroDHK6G5BiE1iN+VSeol6ljorkVrUxhDt8lqVfzdXv6fw4dpCgV5ZnaGnFAnYEs4uIwlk+zp7WZLvIXxTAaPKxIgQFdLlNP5JD5HBkHgq0fP0WuHkBFpjQZpwU9FNnFEhztG+rh189Dl49zd0cntAwN8a2wMEIh6vdyzbpjf3nN1v9ZiKs/fPXIUj6KQypfxeGXCIS+JRJHhn0LTVySJ+/ZvYiVbZNdgF+dmE7jA/vU9lycn79q0mS+ePQ3AfUPrr6rxHTg3zUM/Oonjurzths3ce90GOoNb+JXgpy4HvheRNyoUdY3uQNNVfWEziSzfeu4c0YCPB2/bcdmsM9YQ5N7bt5L6tkayVGFTexO3v3EjAJIoUDctdN0i6PNg2g7jSyk+ct8NlDWDZL7MPbs3M9R5RQLrUibDjyam2BCPc/PQT9ZsfB2/PLweuH4MlmNRsepE1VcuKo8vJPlvX30aTTcJ+BQ+9r676Yj/bNqBdafMbCVPzvATVS18njqCCJWajiRDS4PKQLiRTUoH3xs9SdDnRV7JUQloWHGJ67t66I81UsvJqKteKj6YzOVYF28i1hljqDPOHbuHsV2XqHfN/mNzSytfuO/tzBbyiC7XCJT+JBxJT7JaKzKVKRIISwgxA9NUeWZunvNL3+Ld/ft5w4M3cOCrTyIrMrgOIZ+XL42fRbdtTpUSPL5yjnRkFb9P5XeH7+HGljUW2tGZBf78sWdJ6lW6O2NopkVHKExRr/FUYgq3SyLg+Hhg61ZWnLVi+c2xAVoDIZZWChy+NE9XT4xoiw8E+OroeSzHIez1Ua7rdLhdjC7lWa1WiHq9TOXX1NgVUaJuWZimQzjg5YdTl3h4bIywx8PR8+eI1VVCcS/pUg2r7mD67MuGkS9idDWFR5Bo94dYrpZxXbhxqA83YlBIa1jdKkQVdm/q5tDJGQzRYWi4hYmlFElHo9H1ork6rgs100YyIG76qS3VWR+Jc+NAHz5VYXWlxJlEAsM00USDatHEcW1WXRG5KJAra+xf38PT5UlE0eHZ1Wnsgzp/etNbLj/Y379tJ4cWF6lZFtlajUcmJ3jfth2X08WGaZEva9iui88jgyxgWg6qI7K5v5OuSISaYVCq6rTEXr53yqvK9Lc10t/WyLbBdhwXIoEr1+uuwSF2tneQrFR4bmGeTx05zK39A2xpaeWbB84R9HlQZJHvHDrPXbtGLovxCoKAVjc4N5vgYmGJr5WeoS4Y9AVb+Ns9H0KVVWqGwX/6/A8oVus4rstSusCfvu+KndL2Hb18Zkcvtu0gisLlQCgIArfvGuJHU1Os6FWCqkpzNEBTJMgnPvyWa85xOpfjvd/4BpppIgD/e/4GHty742f6Hr2O1xavB66XIKHl+cTYP1Mwq2yIdPKR4btQxWsv0ejcKkvZApbtYGYdHj0xzgd/zNn2lVAzJS4WA2R0g4zh0uEP8tE9+3h2YZL5ap6EniNfT6BdTOPTFHZ291At1LGDIoNuM+FZm6RVoObYeBtExIKNXjdobg4TCQfxvcTb6KX40rnT/N2pk5iOzQ1dPfyXN95C2LMmqls26oRV7zXKBgCTlVV2N/bj6V9lajGDLQmULQNTt7D1KhdSKYZiDfQOxCnm68QCXu5540a+PHWOVkFlPp1n3F4lpsk4isPfTD3BjS3ryVc1PvfYEYpVHVOzyKQqmHGXkEchY2ewJJOGuIJsiwx2N3FbdB2PTl5icjpF0i0RDwbYM9jFaCJFtaqTni7xfHIOw2tT1HRUWeL69j4Keh1JEOgKR0CAsKIykcngQ+Gmvl5u3NLHP09PIIsiDT4/WX8Fq+RQy+sIMtiyQ3MgcNkw8kVs62jjuelZQpbCoD/G+3bt4ObBfj59/Gny0SLYa15drS0h7H39XEqnWSmWydVrtIaCpAsVXEVEtW1EVyDi8zKbzrFjezvLmSK71nUx1Bkn16axelKjvRZmoZAnpqooHolMropPE+lvaWBsNY3cItIph3BcgbPJVfKaRuMLjD5Fkmj0+VgqFQkqKrbrcja5yvVd3Tx/cZ6Tk4v4FJlNPS08OTODEXCw/eB4S7x500amV7J84pvPoNUNtg2085H7brwcWF4Or0Stj/sDPDUzg+26BGUPP5qeYrixaU2ZobjGhhVFkelClpjPR3Ng7fh/eHycC3Or/HD+LFbEJT7sZbaS5JHlcziaj+lUlpReoSsWo1rTmVrOvuz40svQ46etIlarRMT1UBMtzpZTbHRaeeiJUxyfWGCoo4nfvPc6fKrKwbk1F+oGj5+CUeOxicnXA9f/T/g3HbhWsiXGl1J0NoYZ6mzm8dVzFE2NNm+U0cIiY8UltsZ6r9kuHPBS0y1kSUQSBCaX0z/7mPUCstDJUNAib+kMhge5Z2ADq3qe5dQKXo+NZuvkvGViLUFWVgvcuWULHo/M8lKeWtVg8uTqmhROu4vUIHFv+zCWLLFYK7Gz/Yqr7/RKmom5JD1tjXzp/Dk8koRu2zw+PUVHOMLbRtbzt+PPslzL0hlo5A+230VYvTqN2B9s5kxujo6+ANv7Onhybpaz5XkES6RcknhOn0czDXbt7SWdq/Abe3fh8yn88/IEK7kSBjaqAjYOtisgvzDbreomtuPQEQ0xa1nUdIu7OrsYjEfxLElr1hiujY1FPBDgZGKZRKFMOlel7DfAhmyxyo7uNg5dnMUOuIRQERyXuurwrk2buX/DRhLlIqcziySKVWINNmVplXXeMMmsw9FqAu/Eee4ZHObZ+TkWi0UGO+M8+MYtLCcLdLREaW0OE/cHLjsOF+o1Tiwv45Flfu/mN5AtV1nf3ExrNMTZ5Azz1RNEgjWSFYnlqovtbKA/FkOWBCZdiUKqhq8q4qtK9LRFmNEKyIpIQ8CP31Go1g1cd404YTkO//XQ0xybX0Kpi0T8PuyCjS+u0mi6tHkD9MSjLGQLRGQ/aaOI4woMhiKEXrI67AxHuHtwmH84e4qIx8Om5hYEXIrVOicvLdISC5Kv1Ojsj6HpLrIoYroOeXS+eekio+OrmJZNe2OYM9MrzKxmGeq8uuZ1ZmqZrz17hpDfxwfv2v2yK7O51RzjC0kOjs6QT2vIisjucDv/7t79/ONjx5lczuBEBT7++DMMd8Z556bNDMQaSGRLPDc6i+lzcTSBTFbH1wBnFtNItofWYAihUWYpUUB0BW7d8fLNsq7rkqpWEQXhcs3VcV1kn0gs4MeorvXxnZ5e4ekzk8QjAQ6OzpIqVLj3ug1QsRHqLjmnCqLAltafTfnmdbz2+DcbuHIljU/94FlStTyaLnLTjgGcmIXl2FRtHQHwSVdkT1a0HHmjyrpQK3uHe+hujqKbNpIoMNhxdQ2gYugsl0qEPB7aQ1c3TTZ4gvgyMD+bQQ4oXH/rOr41NspspkQ6byN4dERvnaRQpHdrnAFPF1FviPypLF6vgs+vUiwZ7GhrpWDVCUo+7ty+ib84/Bx1y2Ly2EH+yHszYVfmE3/32GVFbqUf8lYN/QVB1dVKmT859COW7GXWx9pZqGZ4fnWaO7vXfIeS9SIrWp6NkS7afQ04OPQG4nT62vnUUZgrFwlIIg1eL3XToinox3At/H4PTX4/79qwma+Nnqck1glYXgrBNBGvn/8wvCbx0hELc926Lp6fXKA7EuVDt+3lpnV91G2DDS1NlGomea3OWwe3MNTYxJnVBEGviipLaDWDiqzj8yhEgz5kQaSumxRqVZAgGFR539btjBeX+D/OfI20U8ITlfAIHiTbw2Quj+r48EgSB+bneWDjVj5z95tIVqrEfD7miwWGhloYamxCEkXSxQo13aQ5GuSbFy9QNnRM22ZjvIU3DV2xGHGEAo5r4ThRVLHGri6Ltw3sYyqXZblcYkdPB6otMLWaxdftoSo77A60E/R52djWzEhTM0uZAsP9cRbrRU5NrHAisYKAQLZWJap4GYo1cMvmIXojMb74yHFWsiX2DvVwzw3DfOnMaWTgvdt3X7YdmV7Jki9rvGv9JvpiMU4mVmgLhtja0gYOiKJAzbAwLAdPQEFRJAzLWqPLl2G5mCMe95IqVChU63gViaDvakZqzTD4q+8fRpElkvkKf//ocf7wgasZqrmSxg+OjlHN1ckkqig+EbEm8NffO8yX//BBfvXWHXzryDmmrDyCKWDoNhfTKfyuwlwyT75SA0tFCJnYJni0Rg6sLmPYDrf2DTDc1QyyTUBVCXhUHjk2Tnc8ynB3/LLp5MGFOY4sLyECb+jpY09HJ7+yYRMHF+aYzGbZ0NTM20Y2cGEmuWYDZDmsZsuYlsWZ6RVUWaJbDlExDN6ybyMfvfn6n+/h8zp+YfxSAtf3v/99Pve5z2GaJu9///v5tV/7tV/GML8QLmUn8PZ+m3Vegwtzcb40Wqa9McJARwu2W2NPZAMhYS1VcSwzzd9PPYnlOvQFm/mDjW/ht992Az88Pk5vPMYDN20jU59Bs/IsV+GLE6OYlkuP0sm7Nmy7qrjtKUDfGS89nUNIyybSWJ1stEY86KdTDzNdzOLUvAiyzPHqKofLZRxcRjwx+jSVuVyKYI/Ek/l5cCGieplIZ6hbFl2RKIvFImeTCTrtAEWtRlGx0As6m+ReyqKFplVpD4UYz2RwJJOqYDCdz9IQVPFJa+yp2UqSP7/4fQzHIqz4+KNNb79MMrmuq5vRc4s8cuw8HfEwzZ1xMnaNlXKJ4aYmdMsiV9OYLxW5ZWAASRBIVCr8/v4PXFVXEwSBf3/7ft553RYCHg8Bz9rD0CupvLtvHze25AjKXjoDaz1EN3b38nD1Ai3dYRodH1vaW1lIFkgVKty4uZ9z+RVS3gK+RgVZkcgYJT479QiLtbW0Ud0yQbeop2SquotX0KkFTYKKB68i41dU/IrKP50/Q6pSwXJdbuzuoVUK8ujxcVwgHg2Qk2t0RMLULZNktXLVPbW+YYidnQILxTwbYhaWsZXf+M7DNAT8vGndELYLDV4fWUmnKxJhuVTklvXreNemrS+5LzP8yTNPYdo2mmXglSQ0xUCXbColnUxTha09bWxobiFja/zTuTOcl9Lc7g7zn2+7g3S1Qq5W45nZGaaXMjxzZAoJgfbGCP/5wTu4qbfvqs/hzl0jHBufZ7C9ib6eBg5lF7iQTlFPGigVcByHi+kEfa2NmI5Df1sjbQ1XT8YMw8G0bBqCazqZFa1+zfetqhvUdZNstopUB1d3cEQXy7ZZSOUpa3UkV6BYqlGs6XiDMlHFy1997znSxQpBv4eiU8eTjtAfbmDZ0RhpamIql+P5pQU2CY00NgQ5P7vCqUuLxGNBIn4v9+xZv2YCKcDRpSVqVZ10qUpVM9jT0UnY6+WLb33HZZbjw4fO8/jxcbS6SaGaRVQFWloiTM+l8SgSWzrbWMkUede2Lf/mGpP/JeE1D1zJZJJPfvKTPPzww6iqyrvf/W727t3L4M8gUvuLwrRtanWTgE+96qYyDIsLl1bweRVGBtdkj8rKMVTVoFTyEG3M0SO6yJJKzGmiXDJ4fGaZpy4m+P19N/B0YRRFlGjxRJmtJDmSmOVINkGo14c/6qXsLjBRfIyMvsBUaZmq0UNJ78AjpDmVWCRjFOkMxOgJNyDJEjHdS6wSIVcr4vd62BAPc3Rlnny9juhKhLwKcTXIbKpGWDYQHIEjtWWa9rYTkr2cLM3RXfXhF7wk63lM00ISRRaLRVzXZaQxToviJ1XXMDUTu8ninLhMWyCGhcW8vorPI9DjbcasR6hZdW7t2Mb+trXP6ER2FsOxaPc1sFzLMlZc4vrmtT4arVxHXTZ50+b1nJ9dwZOy+aP7b0aVJJ5bmOfL58+S1TSqpoHjOkR8PtY3Nr8sGUQQBJrDayml5xZn+d70KF3BKOuaGigaNTY2tNPitVkplfjvhw6SqVX51c1buW9kA7BGZ67pBn6vyo/m/SyPFggpXhzBRLNMsvW1wCICDqCVVBwHJEQsV2CxWOS3du1BlV4wRbQs0lWNzkiUqmEwVyhQ0DT8XpVIwEsiV2b9YBPjhQyCIHDP4NBV5+OVg3xgw++QqF0km1P5w6+dQUZg1VfEJ8n8n7fdwbHlJSJzHnJaDRGRkfjVTtinEisYtk1XJMJcPkfM62OulCUcU7mup42CUeORqQkOzszzpfNniPsDVA2Tz504yqaWVr4/MUayWiGseqjlDfyKzPZwG4lsiaV0nsGOq1N8A+2N9LbFeHLpIv/x2e8i2BJtaoBU3kJ1JTySSMk0yRTLxMIvqUWdAAAgAElEQVR+ltMFUsUKLdErqcBI0Mudu4Z57MQEqizxKzdt5cfRGgthuw7JQgUXcF3wShJN4SDfPTwK7prSSLiqoNXqzI6mWIkUsB0I+jwMtTeSc2o0tYfp72rESqxQNgyCskLE9TB2IUmxUkO3bBRZJFms0BgMMLuaQ9MNgj4PNc3giZlpBEEgXCyQzJcvpzRlUWQ+mef7hy/QGPZTrZlEGnzoOZfpbBbLC4IosJQu0N4Yfk1FZ/+t4VOf+hSPPfYYgiDwjne8gw984AOveh+veeA6fPgw1113HdHoGkX8zjvv5NFHH+UjH/nI5feUSiVKpdJV262urv5C41ZqOp89+DTTxgpt/hj/cd8dRH0BXNflM59/konxBDXLZOsN/Tz4lj2E1CAdjSEyKliaTQoR0XWIenwcX1mmOxIlq2n886UxurtCjBYWMBwbSRB57NIUB+aWUCWJLS2tbGjzs6gtM1dJUDEN4sEkhXqYpZLIo84p3BTISPzupjvY3NzO3nt3cv7ARfo2d7Fh3xBbvSr9DRH8yzoTiSKJah4XkagSIF+q4zo2DlDOmowMtzGrZ5ivFplbzSDWZR5bnOA9b9hK0TEYaYqzs32tWbJtXysJcwXVL6ELGnM1HW/ExRE1bFuiLBfpC3SytbmVD4xcoUd3+huxHId0vYjgCrT4XkL3F9ZYWc2+ADvbOxjpa6ctFKKs61xMplgqFjiwPI9p28R8Pra1tLJpw9WOus/OzXIhlWRXeyd7OjtZKRf4k9PfwhB0ns07eKZCCK6MT5b5lcFdnFhZ5kxyFY8k8RdHngNPnajfy7ZYLxG/n3PJVeZzFTpDYfx+AUv3cWB6CbMQwJELoDiIQFxuwFQkaqwZcooCXEineXTqEvcOjRBQFHqjUWbyOUDgtv4BxKrL1EqGmm4S9KrcsW6Q68xuFEl82bYCvxxjIHQ9J0+fXUs31R3KK3UOJ2e4sG6VbZ1t3D+ykfFMmt3tHWxtubpO0huN4rguiXIZWZL44xtvZrGe4eMHD3ByOYVPVhDqSaySTdHQkRyRgG2hShJfPnEGwXBwXIcyOo1eH/lSjcVcgajqJR55eUbgRGmFJ5bH0CwDnySRSulIfgkjb6NjE/AoVGoGmVKNkF/ld/7yu2zubSUW8vPrd+7B45F5983buWfvehRZvExFfylEUUCVJfJlDVURkUSJWNCHKIq0NYQxLJuxhSSO6SJUBeqGyf984iS7h7uQJZFUvo7PoxDWVGJllQf6N3GqsEoeDSXjknLdNXKRx0Z3HeqmTkqrsD/Sg/cFB+SY6oWyg1myyUsmp+eXuSt2pbHZcdYcteuGzXwqj2G5NIQC9HU0IvtF3jm8Gduy2TXc9VMtjv5Xxmw+x6HFBZLVCi2BINd3ddMXe3Vi46+EY8eOceTIEb73ve9hWRb33HMPN910E/39r86s8zW/+qlUinj8yqyuubmZc+fOXfWeL37xi3z2s599Tcc9s7jIJWOZVl+EJS3L04vj3D+0kyNnp3nm8Bi2X0CWZJ45Ns4Zb5Y9nW30twzTEM+wV9xDqqEfXayhCRXqQp1ktUzNtNAljTO5LHldoyzU2d7Qy5PTM0iiB9t1OZdMElNv4mw+TUC2cBwFQ3Bp8kRpUTpYcZJ0+BtI1oscT82zubmdjfuG2bjvavv1kcYWyqxHFMaJ5Hxsi/Wgdsv8/fPHUVWZRsVLKWOS6M6zOdbJID08MjNOf7iF+XyRhy+OsaO3g6CqMpPPEfcH+NVd2/jLiTSKq7CtIcbRxCK6qCEJIsGAQkAV2Blt577hDVcdy774Ouq2wVR5lV2NAwyGrjxcw2Ef+24Y4uTxWVrbomzdseaHNLOcZWo8xdnVBG7ARvBCWddp8gepGlcEbY8tLfGpo8/jkSWempvlz26+hSltCc3Vich+NLNEXajRosapWyYzxSypSgVFEgl6PCznM/z1U4dpbPBx4/oV7u/ay3cnxlgoFshqGvu6OnFFgaaAj1gpQFwepCpUCEkh7ty8jS+cPk1ZN1AkkZjPz/p4nIlshje90C903/B6FktFJFEk4vEw7eQZ7o/T6A0w0tWMR1WIq9c2pC5WM/zN5BNUrDpv79pLe0OY7mCE0dUErgN2zeYPv/AIf/Hht/Dm4ZGrXHtfius6u/kPe/cxkU2zq72T4Xic3GKN/W195Goao8kUy2QRLejyhygaOgIKMdnLWLKO7bqYto0dFalqIkFTZmRdnPfcspNI8OXZflWzTlPAh1eSyVdqWK7LQGsM2+tQrOh0NoUZX8rgUSRaYyEuLaeZXc0iCiKTK2n+x4fXHJNfzr7EcVweP3eJ7164SDZTwedTsEwH27GxbIfVfImvPH2GQLsXb0ghUSlj6msZBNtxUCSJu3aN8J3DoxiWwenJRQ6enSHoU9k93MW6SJTzlVUsx0WWRAwFFO+aPJcbh0jQxz8+dpyR7ma6I1GMvIkgCjimy4mxRe7aduVz6Gtr5NYd6/jaM2eQJJGBWJQLhRRFq05HMIyyXuSm7f+63ZBn8zm+cfECEe8a6aVi6Hzj4gXeuWHjaxK89uzZw0MPPYQsyySTSWzbxu+/1orpp+E1D1yu617z2o8LWb7vfe/j/vvvv+q11dXVX6gW5vOoOI6Lblrgrs3uNNPkH4+dxAgJaJqBbBr4h0PIoojteLBrd15Wtk43lvj6/POEZS+be2vYtRLd/s2k5RzzxSqOJVBw6siugixDUJZxLAGfH768cJZLxW7a/Gm8ok1Fa+PejhtY3xrjf5x7jEQtj+24DIR/sjnd7sYBtsd6kQQRQRDQTYuFxRyZikZc9rN9XRtD7Y3EvWGWQiWeP54gU6iRtWvsjHVStyz+/PBBRpri+BWVB7dsoyZfx2Q5QUBV2dXSy9enj2MLJtGAhxubh/n1wT0veyw3t27k5taNnFtN8A+nT9IXjXFTbx+CIDCysYORjVdL4Dx/cZ6tvXHGlVksw8DGQ90QWSwV6A5fWbEtFPOIArQGQywUCyyWSgw0NhPwClT1OpIIsqBQqNeJqF4kXeTunnV8cewM6WIFMg5l1aSctKlZk9zesp1EuYTjuIQ9XmbzBWTF5VSuyGq1TGc4SKEiU3FNvp0f41N3vwnNNPnB5ARLxSLnkqu8oaf3Jb09Lo+kjnM8M0MpJRPOhLENh+t6u9ncf626/rnkKgfm5zhaOYesOjT6/fzPuYN8fPMD/Iq2heXFArbtoFkmyXKFP/7BY/zRvbcS8nr4y2NHqRg679+2kz2dV4wnb+rtu+yPBYAL5bJBqqhhYCB7bDRZRyq4bDdb2dzTxrlyioFoAwmzQq1q4C1KuKZDR2OExVSRxp+Q2hqOdDBRXuHGIYdkocrpXJLldA7bhW1buymndRqCfmqGSbJQARcaI0HqdZOJxZdn1BardbKlKpWazl+fOEre0SkZNaQASCkHy3IxzCq6aREIqlTzFR7cu5OTHoWxUwnqVZOgz0O2VCXoU1lOZiksljBdBzusYCoSZ6ZX8HsUyjWDat0gGvBQ99kIGrg1F80xeLw+QVPYz0q2SHdzFI8lI3tEBBtKlauFrstmjXRzhvrmMtasgF008RQE+rujKJrIxFKK/Rt7X/E6/mvAocUFIl7P5Z7FF38eWlx4zVZdiqLw6U9/mi984QvcddddtLS0/PSNfgyveeBqaWnhxIkTl/9OpVI0N1+dKgqHw4TDr86i4Kdhe1cXd+Y3cSw3zc7WHt7YvZ5irY6giPSNtDCfymEINp51QRp9/st25a7rkqhdYKJ0iWUtR1rI4lMniEdUglKCo4lWErUKCjKGbfLEygXcIGTyFhGfihAxOZBaISyHyBhBXFz+dNs72RRbc4z9vS13cjK1yEC4mX1taw8j23F4bnSWE3PzuCGDN2waZE98rb4ki1fEPD2KzP922/UcnV5gNJfCDojEPVH8ssJQc5zff/MbODa1wJlSEn9AJVmtIAgCHeEIS6Uiq5Uy9/XsIK2XkQWRRk+InkgDJ7PTBBUfb+nc9ROv6UKxwGePHaFkGBi2RVGvX64vwVrtUHlBuins93CkNkNXOMJ8uYjstVBtH5pc4tDKDPHAZnyKwo72dr4zMcZSsUhI9bCluZW2UIjf23QPP1w5Q18gzp7Iei6kkySXqoydTrIgZXnnyHqam0L83VOHIWhhaDZU1csNxXOVIh3hMOGAjKGWKZfreHwWyVoJyxFpinqpVqs89NxJ9rV20eILUjVMbNdBeaEeajkOZ/MLnMrN0CCGmMlncGsi3oCfZ5dn8Z5SMSQHU9CZtqdRJAmhEMEyJaZyGo7rsL5NQQm4yLLE3XvWk8pXeOiJEyAKNMZ8SJLMkaVFJvNZFkpFVEnk44ef5pN3301v6OUVKpKLRbS8wUq+iOYY2K5MRPATsTyUa3VOjC1BWMDBpVkJ4kZdJMOlpOkgClimvcYufYWJbVjx8e6e60mWSnzyqScIh0UiXT5W5SI9XWGkXi+39w2wNJ+nrOk89MRx8uUaAi7XbbjWGTlX0vjGgbOYtk2hWqeg64QCKq7HwRId2pv95EsalZqBphsoqoTklzAdh5Z4mM03t/CVx9ZUNmYSOUZnExi5OopXQq+7SHUH2+uSLWkURZGGsJ+gV2Wos4XZdJaSrBPweijnapzPreLg4DguTZEgmA6yINEQ9rOp5+o07Y+WR/nyxdOYpgNtLlJSZSAWQ1wxKGs6zbte/gKalo0kij+zo/m/ZLzUwfpFBFUPyUr5NR3nox/9KL/xG7/Bhz/8Yb7+9a/zrne961Vt/5oHrv379/OZz3yGXC6Hz+fj8ccf52Mf+9hrPcw1EEWBB7ZdxwNcqdW4HoF4Z4RLiymsKkgJG+FslfZbOhluinN9dw8Fc5mZyvMUDBgvzdKgpvFLLv2hOOOleVSpCdOx0CwTLIm6WKfZG2LDOofVepGeYDtFQ2W5luf29i1cHx+5HLQAhiJtjM+keG5uGrfmcP3AILOJHM+NzXCidonagsMpY5qPbLfZ33x1+vDI+DxfPnaGI4VlgiEPg4UGTNu5nGba0tlGwapzcnSVgwtzbIzHMW2Lr42epyscJuLxIgoiLd4rqh57mwbpDcR5JnmBR1ZOcXPLRtp8MeqWQcXSafJeuWkLtRrZeo2ucISspnEumeS+kQ1Yps1DXznEpUsJ+vuaed+DN3DX7hEunpjF61cIN/i4WF5CEKosmlU+eX6VA7MLfHD7bna1d/Dnt9/NfDFPg8/P1y+e40I6zbbmVj6x672XhW2zbo7vnrqAP+qnXWrhzMQKf7bvLp46OcVUIYMiCuzvWXP5XSgWsR2bgCJzfXcXz2cnCEVsqoKFUZXQ3ArJmkld0zkwVeGYPg9RkbfdshnDcVgoFvnGhVHmi3k8nrX0luRxkRQomga5mk2T18f3Zsa5ua+Pr84dxVbqCJKNUZXx1hqRZQ+FusaxSoG7h/sJv2AK+au37SAU8PCPR0+iBhVUReDZQ1NMOnmiUR9SwKFY1/n2wlHe1rOHnuC1q/JkvsJIrJF8XWNS06laJqYpotgWUVVBESU6AxF27uokGvLxxOIMWtng6Ik5ylWde3aMEI++shIMrE2YTo8nUAwPrgDZTA2pSwBrzR6mwe9n+752AN64bYCHD54nFg7wwBuvJWIkciWMF/q+HMdlwIwxVsugeES6AhEUw6VaMxB4QcXFFXjTzg1Yjs11nd3YOYvWWIi2xjCpfBnDsmkI+6kbJq5Tx5UEfB4ZjyJhOQ7JfBmvqqyxPstVpJqIo7vggiCC4ApYtoVlWQgCWLbNrnWd3LCp76rjXiqWMC0b2ZKxZQuzQWCrEWcyucJANEpuOoe5z0ZRrkwuD1+c49TkMiG/h7fs20gs+L+2k3JLIEjFuFolpmLol5vBf1FMT09jGAbr16/H5/Nxxx13MDEx8ar380tZcf3u7/4u733vezFNk3e84x1s2fKzm+W9lnhuYR6vV6WhMcjqiSQd8Sg5TWPy7AK/fvMu/IpCta4jILCqmZiGQE5rwBNeJamtoNseOvwd6GaB6XwGHyEqThnDLOCXM/jFEGfzFQQ3wPpoO+/uuf6qIAHw5Pg43z1zjoBfZfzAKm3RMLYDFauGjU1I8SFjM1FeuSpwpYsVHjp0ktNakmpVxxEd5pUic8Urituu6/I3J48zX8wjIPD84iIFvY7lOBT0GovFAj+anqSo17mxp5cfzl9gtVqmISzSGQ0jCxKPrpzhpub1fGr8h1QsnW0NPfzWutuRRZn+hkZaggEWS0U8ksTW1lZc1+XpU2M8f2qaeDzMqfPz9Bxs4tzKCss1DV+Pw87+DoqLZTKVOnXdwuO1KRo1fjA5zrbWNsqGztOzM5xJrjKXzzMQa+Dx2WnWx+Ps7+rh86OH+f7qcUzVoYSGWJFp8kRojAS4702DPDlrsKGpE58b5geHL4HtEo75EAWBsdUCqwWHrF3DIytoVRdUF023sXWbcFCkxRtkspDjH06fQpIl9rZ3UDEMuiIRFosFNof7ma0vc+eWXqRslLFkhsHmRo4kl8jUqhiuiddRqdRsBMFBty3Kuk3cH6LB5yeRM0hrVZoDQRRJ4m03bGHnhm5OLC9x8MQ0JbPGhmATp/Kr+JG5abCTfMXkC2dOcm/fJra2tvL1SycZzSTZ397L9nUdPHpmjFSlhOAV8CgSTb4Abk4gUS0T8nlYH2xm10AX0aCPlsYwZ5MJbt0wyEis6Zpm4EulFVZrBQZCrXT4r6R/LNtmMNJCwK+wmC9w9/r1iI6HgVgDPdEoU9ksP5icIObz8uv37MX/MrU+gIbw2spkNb9GMPm/77uTmUoBgHre4L/+0xM4roNHVWhvCHP3nhHec/Ouy0zglXCRQFBlNV8m7PPw1v2baI+G+NHBUXo7Gtm4oYtjl5aYSeRe0L0U6G2JMtQRp6cpyt/+8AimZWOqDrIgI8sCoi1SrNYQRQlZkqib1jUybbe3rOeLp45jyhZmWaFL8JLQS0Tag2zp7aRWqFOu1TArLhfmVgn6PZy6tERLLEi2rHHq0hK37lj3Kp9S/7JwfVc337h4AVhbaVUMnWJd547+14YVvrS0xKc//Wm+8pWvAPDkk0/y9re//VXv55dCjXnzm9/Mm9/85l/Grl8RjusynkkzWlgAxWQk0s5CIUu2ViJVq1KJQs0yqJkaCavG5ye/wQcH76dcD1HXo9SdOZI5D64TJl/10CJ2EAuGma4UUCVoEhrIuxog0BLKk657MWyFgFjHdRqJ1OMEJf819bx0uYIsi4QCHmasFT5+8Tu8s28vW7s7uXhhCStUR/CLdKrNGLaN+qLvjwuFuo5HllElCd1yMB2bPe1XakvHs1Ocr07jCiJBwU+6YqNKIgFFIVOt8jcnjpOta8iiyLcnLtAYlon5fRycS/PWDUM0+FTqlskPl8+gOybtvihn8nPMVNIMhdsIqir/1813cDKxTNTrY0tLKwdSYzyVu0BSzoMoYgsuZ6aWGXWyNPuDrE5V2LJuHW1DUb44dRDdtVFdH5btElBUCvU6350YYzSVoqSvacuVTB1VlKhZNmeTq4xnU4gIBKI+6lUNCYi2Bvgvh37IrDBNyOfhuUoeb6KZcn2NkFBM6MT8XjY2t3CTfx2nMh4KTp6CW0KwFVzJQpAF0oU6FT2F6REYaWzGpypM5XM0BwIYtg2CwNu799IbXbP5KNRrfOX8OY6uLCGKMJbOEJb81JUSri4Rlf1EwxGqpokkiPgVhaCqXmOJ0tMQ5f9l7z2jLDvrM9/fzvvkWDlXV1fnnNVqZSSBiAJjG2zMjMeGyyzjNHd5xr7XM2PPcGG8vLC5tu91mjvGePAYTBASSALl0OpudVR1dVV35Vx1ctx57/vhNC0aSdhgZmwwz1pV9eGsvc8+u/Z5n/d9/8//eQbSSeYmCowVTFzLpaOus397G+uNKi+P54lIGkuFBrcM9fDo3BXSeoi/Gj/Prx+7h7fcugVvvsm1fIPp6gYloYqWktne300yFGExtsELlSsIF2TOnp1ntCfLnW/eTySi3XQds7V1/uzKU+SrTZJRnX+79+03steO7xzikZeukBESPHjHfrYPvFp7qNs2v/3cU1QNk9VynYfPXOHf3303O4Ze6x7RlY7z7hO7WS/V6MkmkCWRqKuQioX4nYeexg8CYuFW4/qm7gxvPbr9BmkZjsPX5q/RvS3N5elVQrrK1bU8obDGgQMj7Bzq4munr2AFHo7iYxg2O/o6SKYjZNIRnjs/jSxL9LQlmXQL9EQTqIKEHlEoL9VRFZlENEQQQLHeZK5exvI89nd1EZfC7C4MMlUt4gsBNclivk0gVRB4YXyGrpEMf3j6FK+cWcazffKNBr4G2UyMNldlaT5PLKRweNvg9zKE/ZPAUCrNj23f0VIV1mu0R6LcOzzyfatv3X777Vy8eJF3vvOdSJLEvffeywMPPPBdn+eHRtN5ZnmJh2fGmHOXUESRseQCocBgbKNESJGID0bJzdfRoh67bw1RsnP8t0uPsVSK4gQSm9t3EQ4m8YUAz9Up17r5+JE3M1Vb49p6mXP2GpcLq1SCGocycS5WV1AkE4giigoIIk3Hfk3O1a2jw5ycmWGsvIATswnpMp9deJG7Uod44PA+JN1jLl/j4mKJjdIY792xE0WSyCYinNg2yMNjk5ghh85khH995DBHel/dhvy/Jx8jEvdoNDzqlImEw9i2QNN1kQSRmmORCoWIqSoLtRJtokJU1YjKIZqejeJK3N2xkxdzE9i+S80xEQKBiPzqYJcMhbiloxcTj6/PXuOJtXFGerOcGsxRMdfJ7FQIEin8NR/Bb0nl3cDn7X0H6Q1neGpumrlck8F4ip/avQ/H8yAISOgatufSkG1KlSbb0m0c7+vlci5Hl5YmH+Qp+A2GejNEjCxN0WCyMU+REj2xBI7v0YnNsJ4EScBsOOxs6yDXaPDi4jyFpkFcFZF8HWyVulhtSZgzPr5ooCRU8k6ZrJCkMxrlcG8fU8Uit/T2M5BoiUn8IOCL58b4xvmrLAY1RruyDKXTbEpvJRRzODW3iuTqpEIh3rt9F5+/cpmqbfKuLdtJh8J4vs/Tc7M8PTdDXyLBu7bt4Cfu2Mu/++uvsVyoEtU0lqZNFsw6yXSYmKZxtVhkpDOOKIgk9BBly6JqGhzq6ueas0wsVmZpdhEcmXrNpSCXyQV5citNzs7OYZ2BuB7m7NIq0ajOA/fvu+l5vFxY4pXzBURLYlFo8GLmGu8cbdU62xJRfubeg5iOS9kyaToO4evpzyWjScO2adZsXMtj2arxR195gd/90NvRXyf2ozsTJ6QpPHnuKl87M0kspNHfkcSwHWRJQpFFXM/n7n2jrdrTdazUqpQMg2vzOSbXNpgMFXj568sca+9jz0CLtMaX11mNGxhtHngwLVQo5dd54rEZ0g0dw3FYzpWRkgJbtnaQTUXojydxNxy+fu4a8bDGlr52zqwvM1HII4sCV9Y2eOQrY+SrdRzPJ5nUW1u7UZX00ST4AVomglf12KjUCdyAKjaCA2apxKLlk3U0Lsyv8C8fPM6DR3f9wwa0f0QMpdLfN6J6PXz0ox/lox/96D/oHD8UxHUyd5X/cvVh6o6JFEjgqphSlTbFYTSbRlct6gkdb4uEJV9jXfJpC0I8OZ2j6ZUJgoAlQyEdCVGsO6goZPQIqiizPdHL+fkCHdEY6bDO82vXWLdieDSJKSpLhktS1NiR7SEdem3xdjCd5WMPvp1PXXmUWWOdsCQxXyrxYn2czlAna6sGWzNtZMJhXppbwKo7vGnrJhRV5gO3HuDN+7bi+B5DqfSNWXwQBDh+q18nFZXxRRMIeOe2zTwxtUC9KtEdidEViTFfLVM2TY719lP1q6zUqtw1MMJHtp8AAURBpD2UoOqYrBhF3tl36Mb2URAEnHrkLOMnr/FypklkZ5plp8q55VVqcYNom00l1OSMeg6UTjZsif2j/RwYaCnk9qUH2ZMeQBJeXX34QcDWbDum56FIMt1WhPWNGnbF4q+/fpH333eA6WIRka1ksjozS0XOL61iRw0iaRFFlGg4Brqs8eDePXz+qQlM2+XA9h7ev2cvv3/qRYoNk2hNZqNcJ5SVoNsgKrm4boCWDlAU6Izo+JJAQlF42+hWjnX1sTPZQSb+6qp5fHWdJ85NYbkOgeuzUalhWA539gxy1/AI7x70qdsWUVXDcBy2t7WxUawxe24Fe7qB36vyp+fPICDw0so8Ty5c48P7j3Lv7Vs5P76EY3oUbQOv7ONaASXfJK7rvGN4F0v1MovVCoOJJPs7etEllXf3H+FCbpGvTV3FsAV832OpVMcTfVJaiHrBxpMcBiMh8pUmK6WbeyVLhsHz48sUCxa6JuEacOnyOm/d5CNfN6A1XJfPXr5I2TAJKQrv27WbpB6iKxZne1s7X9uYxBN8BuQUluVRNczXJa6aYfGZb5zlhbFZ8pUG0bCG4/vce3ALX3zuFcoNg/fesfc1W2txTWelWuViYQ0zEpBEpFa3WK5VaS9EODO5SFm2qGkucUlDjksUTJNwSMGqOtSwGR7K4FZc7ju6lUx/DE2SEI2ACbvIO27bzp6+Hrqzcf7i0nmy4TCaLHN6fI5yvUkyGqZca9JsuqTaozhCQDyms7+ji8cvXMMoW9i2hyV62HqAjIgYFghcgYQexmnYPH9llnce3vlDIdb4p4ofeOIq2XX+n6uP0/QNzKCGS4AiqnSLHaiSzaZugbH1Eqa4TEQPoRChZBfRgzRNL4Tje9h2gOG4+K5A03HpiGiUTIvnl2aZNVZYNKqcnstTspuEdZFVs07Dk8mZBhEtxJ5MJyeG+143MRcgoYc5mNjCqdUFloIV1MBk2S0yXVynUG99USOozJaKnFte5pPnX2Q0m+G2wWF+evce0qEwhm2Qrzs0KPDo9DQLFQu7GaUYlJEUn6yYRlMUtrd1kOyK4AslLlem6e3Ick/vTh4Y3lcWSw0AACAASURBVInjORi+S1prSaOLRpPlWo10KMRHttz3muuu5KtcfvEqqf4U89oCrrFOU7FpKD6IIjXZQ7dU4ikPd9TiX206yom+IVZqNU4uz/KV2Ys4vs9Pbt/HrV0tlwlREHjr6BZuHxwiJMt85Pf/lkhKpeZZfGNyig+97Rg/tXsvtufyZ2de4PLGAmkxzPxqg2xGJxZJ0q7H2Z3q5+6hbdzSu5mKYeLi87krY5QME7kREDgBoi6SUhVkVSQkZpmoraLqLoqlotZV4t06dQr85dRzPHZpjFGxh3QszIO37kJTZHwvICBAUxXCpoxegfScx0x1AWXFYX4mhyCLHLl3lIuFDR4+Pc7U+DqqKvK29k2YORlZEKm6DTaardrYfzn1NEORLKtGFaNgEgDDmTT5iEUypLM5m+Xx6Rk+vPNWUhGd9lDshrOHKspsTXYhGBHwDUKKRF80g4WFKTQQYgFyVCVXbqJpErcfv7lX7Jn5WWRPIxzomBUXxZFYWzR5+uIU9+xv/X9eWV9jqlhgNJ2lYDSZLZXY1xVCFkX+jxN3MBpK8dhLk4RthZ3DXSQiN4sRLq2tMZ7fIC3qmJZDqW5QbhhUmq165+Ydbey/vY/bB4fZ3/3aVOG4phHVNNKazobTpBm4dGQi9HekeWV2jUREIxHVecXLE4m1wlNd36fu2Liij45ERNe4ZctmfuK2vYR1lUcvTPKJp54l8ANkReI3wncw0JnicE8vj01fA+CW0UEunV6mblitlo+eLD/31ltYy1f4k4de4il7kva2KJ3dCYb7MqxUqoR8j4bkosQVwhWfWsUglNYZbE//iLT+J+MHnrhs38PxPWTJJIZB1VOJKhWWDJnO8AA7O13C0RkWGwFNz6No9tChV9kWj9GsV7mwEMbxPQzLI6QLSHKAI9jkmw3+/PLzuLJFlAiy5tIeVmg4FRx3hYgsUbCU1naXZ3CmMMXbw68vL3c8j/H1Mm/tPMD53FfJGQHFpkbVMLE9kaVaBd8N6NSjrJp1XM9juVZjbH2VC2tZNqzTXMtdBlNmMhdjOWLgCQGiFSfl9KGrkEgGVB2TzqTGyxtjLFcsRFtBcou8qE7hyA0eX79EWo3yC1veTEwK81eXLmK4Dobr8v5duxlJ3yzHVjQFURKpGHX8uEVT8rBwQRSISREa1AiHDeqeg+06XKhfw57x+JPzLzNTKhDWJEazKf70/CkOtQ+hXfdCFASBuNbajoxkdZ4qzBEEEA4pTORybG1r42ptlfHmAm7IoqE4dDsx3tQ9RFsqTLnmoVkh1up1euMJYprGpy+eR5UkDvX0sLhawmzatGkRQohU7SYNmmi+Rqya4WCkm20j7Xy9MUZ3KMVyucq8n+O2zFZWi1XWS3X625Ns6kgT6vZYKqwTbguxu9rO5uEsvurzx3/0DULZEGNdDf7wry+STsZozDWQBQHL9blaLjLS1kY8qXBlvYwoQCYcYrVWZ2dappHOI6gyeAF7N28GFHLN1ueRRZEn52b56OFjr6mZxjWdB4a3M15cI6aqDMdb6cwvLM+iJCSOHxjEtl32D/Yw3Ja56Vg/CMhkImzp6GFyeo2hbIb9m3uZWilwz3546hvn+MznnmRRNbl4uJM9Pb3ENY2HJydYqJY53jfATx09wG3Dm2iYFn1tSTTl1SFkPLfObz/3FEEAnuczZEQxLBtRAARYVWr82fg5IrrKlyYn+PO3P8hI5uZrlESRbCTCwdE+zi+soMgSP7lvL+/cto2nz07x+ecuEUZls5hia18Htw4OYrouv3fyRQIdMm0h7tm+mQd2biWst7btz80tgQDt0Sj5ZoMrqxvcuWOE3R2dZLQQ/+3ZMzydm+bE4RGKG3W6M3F+5cE70HWZ+//8T2gYDq7nMbNQ4C17t7ChN2jvjxMNafgq3DY4yOZYiidfmSIRDXPfnpvVwT/C9x8/8MTVpsW4r2sP/2PhcexARhMD0iEXRYwhCDopJYUmROgNR1gzlhHUIo6XwAkibO4os1xKoyoC1wp5XCEABGpBnbqdYCCrYwUilukhiLBuluhNzhDV6gSCR7sWY9XIcK40y7G2N35YRUFAlyQ8T8RwJCJaFUkxsRwRWYiRUiNYlkvTcnC8ltmnF3jMWSv87XKelDRHs6YghTaoh8DxFAQ8akGdQsMnaARkPYVjXcPU/QZbsxLrJZVEVERVLVbKdb4mXKBDT1Cwa/zt/Eu8tfMopuuSbzaZKhSYKxb54L4DHOnuJQBCqkIkHuau993K+adb0mchbKF7MhXfwHIt1EAnqigUbJMOPYSLwxcmLxNRVDRJZL1mUDYsEAK+tnCJBwb2oHxbvtnRvYNcOL1OWg3hKzBTLrG1rY2CXWM4m8GtQdGrc8vIEB/ceYIXFhe4Wl4kqop8fvwyP7f/IEXDoGnbGK6Lqojs3ZZhSziDYgTEUwqfmZqk4NTY1dHDWrnBrm3tRNIyoWmVFaOEKTjEgwiFahMBgVi4Raqn8lfJhcqkO6NIIYfOXJira6vM1jbIy1XodfAVmVADlqQKvuciqxCrSqyEmySSLkW3ypHBLGcX88yWWjldS7UyrhCwqTvF1fI6z69Oc0vXKAPxFLbn4gfijd6y18NP7drHo9NX8YOAe4c30x6JcLxvgJCskHidLLZv4raBIR4yTUa2tzHakcUxXJqGzc6hTkobFZ750kv4io++Xse+WsDflOLUyiKfu3wZXZY5u7rCb91xN/3tr5/4PVMq4QcB3ZE4F6aXcBsWruu3iEwMMNQA33Joj0aoGAaPjF3hI8ePocivystlUaQrFOWvli7gEbA5nubdO3YQVVUeOLIdx/eZXs5hLziMP7dC9UqT4YE0x9J97N7UxUqtyp7BLmIhjSAIWMiXqIgWVcGi2rTISCGOjQzceL+L8yuMza/Tnowxlcvzi289wZGhV6OBXLfl8iGKgBfwxNlrmDULTVfI7u7iTXu2sq+rG1kU+dmO75wU/SN8//ADT1yiIPLBkTs42h7j6bW/4HTex/CiSKjsTvbTGxniau0pEJpk1XbMepaAPFc2FugKpdjc0WSq4COrAXLIQUJCFH2aYoX1cgQp5NCTinOwq5+vzJXRwxKrZgpRMGlTXYqWgozIscwby2AlUeQd27bxjZkpMup2YvFTBLgUyjHqjobv+3QkItzZs4kXVxbYMBsYQZO7hgdZMJaZsW0Gk4vYgYcrhvGCMJ6ttmxuREhHNaoNePTqDJosMtKVojO+QdMI8J0Ydw+OcrJxAS/w8QOQRIm2cAQ/CJgqFqjaFmbd4vcefoZeKc7W7g6ObRtg/2gvA9taP4PFbfzexFfxAo+MnKJeE9ka7+Jc7RphPUTVqzNdW2cgMcJLS4sIcgCSgyeIhCWdr1yboCee5FDm5rjz/T3ddCXjOL5HSJLZlm31MW1L9HKttsqWkQwpcYCfGDmGIkmUTZOIqpLQdVZrNZ6dn+PSxhpTK3lWihUynbB5IElFnyccn2KjHtCTDLM4H6YgWgz1hlmQ1+iwE2xKJ0nKcTpDCfrJUqqajPa0EQ+3Br2rhSLlqk8mLJErWixkTJ5dWcXRbfSD4KgNDEvHTegYuGSTGlbFJdETY+++Xrrb4iyt5gkLUXrjDk0zoO4YTJTXECUYN3I0HY9E1GequsqvHbqH55fm8fyAe0dHblptBUFAyTTQJBk/CBhNZ9mUThNRVJ6am6Xp2BztbQ24uXKd1XKNSFhlIJtiMp/jaqHAQDLJv9jbCj70/ICFjVZrxUBHitJamZiqYTpVBFEkq4eIKwpjG2tEZIW2aJSFSqte2hN//bTv7W1tqJLMlbl1GosGtmUhCULL5ViGmCBTxmWxUiEqqVTWmjw/Nsude2+WWj+3NIsiSmTDOvPVCpfW1rilvx9ZFnnPid38zt88xeRKHlkQODu1hB5SaAgOp70FdFmh1mFyylrkU59/lsXllgz/tgMDFASL9+/ew77BV7coLdtDEAS06+TpuN5N1/Iv7z/E73/xeQQB9mzqoVlu0puIY/keL7wwQ1aOMHAiSfvf0Sf3I3x/8QNPXN/E1vgBevR+7upYZapmk9BiHM2M4HoBlcW3c6W4QFe6Az3wmCq9iOkZ2LqFHF0lk5UJYgJNT0VwRVRFQBcclsxVdoU6ubN7lKPZzYwb01ytaUTlJravkrd1oqrOhza/ibj2xn5bddfkucIYFbWKEtHIFe6gKxrmPVtiNOQKj6+8wqrr8XChQE+0nV89fICZ5ho116BmWASBSc5VyRthQrqA4kiEJI1uJ8Nyo4nptAipITRoBC4LtSgf2n0naSlFTE0zkkrTviLz6MpFekIp3jNwlJim8f5de1pbJ+trODmDhiUwaTdJhHWeHZth+2AniiSwXKgStiP8X7vex1RzlT8ef4a6aTEhLCEI0KWnsCWL/kiWj2w+QtGt4JRrBKHWJEBsKEQVmZpjANebTq8PyqOZLB+7+16uFfNsyWQZuC5D79AT/OTgrTRci4waRUBgdq1Ipxxm3i2xUquyq72DqWIRo2ZzdmqJhuSygoESwImdBnnTwTSjDKUMTKcTUda4ta+PDbNCQg3TcC3u7NpCwaoya6ywd3iQr09P8/Tzs3THYuzv7iStRzB9gzAa40tlvBjYvg8o6JqLjUSgCAgOBEkRKaFwfNswYUVlsVzj2nqVq2KRkKShyiKCJGCbEHgu9YZMNhJhS7adpWqFQAz46d37XvP8BEHAY9PXGNtYb5kZ51o2S1FN5U1Dm1iu1wjJCkvVKg/0b+YvnzjHVLlAIAT0DifZMJpINbBtj5+74zBHhlrK1OGuV7fpMl0pjt+zF+vxM0z2iLjpKGtXLKK6gu27LFTK9MbiDKfSTORyfHHiMu2RKD++c/cNJe1wKsPH734Tv/kXj+KJNiYunukQbdpUBQs7FSMUSEQ9lZ/esoeEpLNSqL7m83ZEYnj+Mg3bRhYEUqFXV5Fr1RqPT12jIbvoogR2gOt49CbjOKbHpo4MX70wwUbQZG65hKgKuGbA7HSBY3dsYkvXzQ3ed+3YxJmZRRbyZXYNdHFosPem19939wG29HXw3NgMYU3lyuVl1so1ao6NLksIosizl2Z4z23/OL2q/1zxQ0NcADG1jZjaxui3TAi/cnaMr16dI6aqTOaWSKfDXFhNokop9g1Ms1ZM05aIcDAtsmKFsG2o2E0cN0BRAwp+hWdzEzQ8mwf7DvMHV0t06ho5q8nh9FbeO3Sc3vAbS0dd3+Nsfopr1XGWSlXKtkiXOkhUjTLcGeWhlXECyQHRY93cIGeVmRmfJiMlEZEwBZfhsI4t6Ai2iC5G6JO6MRsy+9uG6FYroFpMFvM4QgPdD2HZATUv4E09m6+7oAu8rfcgb/s2i6feRIJ37tjMZGOKWkeTRl1GKIs8v7JATzyO8dxzPDk/C07AbZl+RrNtKIM2shrQEY2yXq/TlUjhSi4pNcqPDRwlpukcHGxnl5/i4uoaZ3PztKU0tndn2ZXo49n5WU4vL9MRifDOrduJaRpDqRRDqRRl0+A3nnycmWKJQ909fPjQkRsN3Q+dHOPxs1cRBYHbdg/zpkNbiGsaQXCV5yZmaUgOWiARGArT9TxbmmFcz6LpORSLPj1aFx/Ye4hESOVLi2dYM8pk9Rjn8rP85cwL+L5PmDB2MU53NMH0daPi+3t2s2HUiQYKL04vtmp7toUp+ehoJMUIgSxguS524NMViTGUSnPn4DD/9olHadNitEfD5BoGkuZQtaq4gUdMUDAaAsW6yUljiZ397XRFXrVB832fz1+5zMW1NXrjMV5cWqQ/nqBkGeSaDfZ1dbNQKTOWzzGQSBJVVeZLJT75yPOMz64iKiKJWIjHr05jBC4yAgNygv/+9bN8Rb1MRFN569Ht7NnUcsMQBIGjbznAoXv38sWXxpjO5Tm7tMqFmRxCm8SxkX5+8dhxcs06H/nql7E8D1WUqFgWv3Ls1UDFgWSKY5sGqZcmyVt1XMOhIxVHjhqItkC6vwNVlgmMgBIGt++5eQUO8PP7D1EyDfJNg1v6+hn9ljy7Pz11GiPiI1ZaCsi4rtKTTdCWjFA3bOJhHa8SIEoCkiAQ+AKyEKBrCrcPDN1odfgmEuEQH/vxN9O0nTdsqD4w2svu4S5y5Tqzy3mq+QI12+bOPSP4gY8iSzRNm5NX5lFliWPbBpHlH2V1/c/EDxVxvR426lV8oQmihSnaiCGRwUyEUt1jaiNLWA4YK5uMhXx29Mi8o38fL64tMlVfIySLRCQVx3N5YWOCX9j6Zm5t38ql8gK7Upv4+S1vIiq/cU3B8V0eXj7Hy/nLTNVX8IwQgmzQF1OREUH0UUQJQQwwTRejrqDqHpUGOGqF/YlNlB2VmiMTVZcJizqGmyKhqnxwz1E2JdqIKSp/cu4MV50acsimMxZFFKFgNvmD0yfxgbeMbGHz9SJ407Y5t7ZCQtPZ1dHJWGWZwNNpNG0cXEKo1EMu880qE+NF1EAESWDGqZCqhNktZxBESKZd9JjKr+9+gN5IGk2Uka/Xr/akBnhi7RUGM3HuH76PQ5kRNFGmYlqcWlqiKxZjo17n3OrKTWayX7wyzuWNDRzf43NXLlMyTX7l2HGSus6jpydRZAnTdXjy/BTvvnU3giBw9/AIuXKDyytrrXBCW6ErleVY6gjPLZykZuSYzun0D2ls1Ous133e0XsQx/eIKyF+5eRnEQKBtBZnqVIlFISQRAHfDwgpMj+7/yCG41Cvm5RXmrxUNJAcDcmFouGTDPuUDZMgaCUBOxGHy4VVHty6nZ5YAsNxkUWZsKKwpz/FU8tlqg2XetFHckTilorqSpgSWJ5L6Hrf1POL83x27BIhWeFLE5cJAriwtkpfLIEkCKzVawjA7f0DjOdz1CwLx/K4uLqK6dn4lo8d+AjtAqInYPgei1aVjeUKCVlH1xQ832dzT/aGiAFAkiW60wmen5ijUGkgyAKiJJKvNrm0sUbZNDE9j7ZQmIplca34WpPd9925D0EQmJxdpeyusbU7wwI1vKTG4HA37bEY9/WPoMgibYnXbrG1RaP857vuxXAd4pp+Y3W+WqtxrVxE1EQSQ1FkW+DjD9zHnoFuXM/nSy+OsVKosKUti50As+EwP1NktDvL//m+e+jMvLE/6huR1jehyBIXZlaYz5cRNRkl8Fmr1dkx0sXtu4f53c8/zbXlAkEQMLGwzs89cOw7nu9H+Ifhh564hvvyuDNVJqsmcsbFFCXimYBNqU6urWmYBYPAb+LWXKxUk1dq5/iN/R/kVH6a/zrzJDP1dVbNMgfSwzy2eoGfH7kHRRRvDNLfioulOf586ikCAj4wdBudoRSXiytcWa1S9B1kOUB1Ra421vkXm3eSCLcGYk2SEX2PqKwRKAaiJ4Iv4rg+w0o/xwf7GYyl0SQZw7dIqmEyoShlu8FvvvgIl1bytIXiLFWa2GGX0VSa02vzSEhsDvfx1alJ/nWq5eH4H555kqliARD46d17WC40aXg2iYTGehXqqYCQHBAWZAzRRZFEyobFRrmGGu/lePcosiowWVthb2qILYnu19yH0XgX7Xoc23fJajHE631couCA0DKz9QiQvk0y7Put/jTH85AEgalSns9cOk/BaPKSvYJUDUg6GrGozmK1Qn8iiSpJ7O/vZttgJ7PFItlwhN9+4M0kwiH+4JSKJdQY7pri5eI8F4v7aHoOW9pT/PL+u5BFicFQJ1PNVSpOnYSmcCA5yJVcjmRU5uhAF34QcGFtheeuzOK6PmFHZiCTwghcCmaDBiaSAGFNo2qbNP0mTy1P0nclws/s3senzpykbJj8xI5dLLlrtIltRFIW8xs1Ek4rSiSthfEdn41G40bGV6HZxPE8QrLcMp+NRLE8FxefXzl2nAtrqxzr6+OuoRFu7R/E8T3+969+jbpnI+sCni2waSjLLGUwwWy6NOs2niASV2klVdeaiKLIXLnEWr1OStYZactwaLSP2WKRK5U8TshDEAXCSovcemMx2sJh8k2DIAi4f9PNYZoA8YjOhx5oPW+XX5zgzKMX6Exl0A4NEIrpnOgfJBX6zp5+mixD0DKkFq+7yViey2h7FjxYqla4e9smDgz3IggCiiyxd0cPD01cwZFN3tq/hffs2EFEUb9vScWO67Was00D1/OpuRa37hxCVSSmV4r0ZuNYrscrs/+wbMF/LvjEJz5BqVTi4x//+Hd97A89ccWSVd51OMzZvENDcdC8MG0xlTvat3AqWOHR6jU8OUCyBERXQRBsdFlkyciTUqOookLFbtCutwQElu8Qkl+NiHB9n+VqlaLR5GNjjyCKAu1Rnb+YfYb/sPu9nL62RHnZh6SGl3I4MdCHLLUx0pZiur7GvvQgd3ft4szaPOfmCjQt0EOwPd3JvsgwWzMdHOnpe90v37MbE1RsA0kUsKQmXVqaX9t9F+frk5QNB8O1OFudwK9FuPZYHgmRy7kNdrS1U7dtnl2Y457hTZxbXaUp2oRliKkamiSRUDTCosC8U0MJBUTDPlXDYHGjzC2dW15jCPztSKqv3iPb87iwtkrDtjnY1cOVfI6RdJoDXa8WyR3fJZkSkVWbfNUmKmtYrsvFtTVOLy8hR0VKko3v++ze2sHL18M+H5u6yu+efIG6bbOzq4O4rjNXLXNPNsumjI8SvYqESjKcp2JEiPu7Wa83GSsvcaJ9Kz+7/VaEMZkNs8wD/bvY1d7F5xZOYfoWzxfHGc/nmFgpMb1eIBZS2dnRwZnGGuWgiSyDjwC6h+xdd5h3oS2q8rWVc2g6/Me77iKptuqfL6/HODW/RlTT2TUcJV7VmFkr4ksBAwMZ2iOv3rOm61C17ZbaNQhYqddI6yGOdPdSNAxkSeLS+jrbsh10xVpehKIiEunUCJoBmiLwnx68l4lcnk+dfJGaaRGJq/gVhzWzjhSW2NYpM1cp8deXLvHyhQWspsuh3h5+4yfu5n3H99GWjvHQ2GUs0Wf/QDfHevuZL5fZ19FN3bF5x5ZtnBgY/I7PwY5btrLt6Ggr5PE7oGg0mSoWSOkhRtIZzk8tc/LKPIok8daj2+nOxOmJxdne3o6uKNwRGubHtu+8ScDy9blp2uMx/CDgidlp/rdDR77je74Rriys89KVBXRFZqgrTURX2dbXwb5NPfzNCxcxcg6iKDC3UmJyLccd2zcx3J1hajkPBNy6a+jvfI9/ylio5zldnCJnVmnT4xxOj9Af/f4qJk+ePMkXv/hF7rjjju/p+B964uoJ7WYt9jQdVoPpehJLsNiU6OVY1zBCU+Cl6mUkz0Vt+Gxpl7m1Y5SwFMELQBJEslqMqmNQchocy4zecP12XR9REvjc+Ct89dpV5ktlvHidZFjD9Xy6U2EER6Q+K+EKDkojiqc4JPV+RFEgJKl0aEncwKdg1QCB0UwGRewkIUT41QO3k9RD2J6H6/uvS1xu4LGnq51CbYmKaXFPzwib0xnGDZXBVJxnVyfJOzV8ucBiZQO/FsEXYDyXI6oqHOnt5Z6hESqmxcnFBYp683oNQOCB0S1MVOZYbZTZyDUQQj6KKbCUrzDY+cY1valCgeValR3tHWSvB8S9sDDP6ZVWYnRYUfi5/QdRJOmm4x5dfIXPzbyEngjYnFCIORkGEmkKjQa276GqEshgaz6L8hqe1BIYfPnqBAldw/M9Tq8sEdd05itlTMflLaPdPL0u0rQ0QqqHJNQoGAa9GZ3odVurhK7z40P7+Kvnz/OJC88hpiT6u1UO9/cwXc5xbv0qaTFBSJRpOg5RLcGvHTnB/zv1AiuVBiFVpu4aDCeS9AYaRbfJXKmKvS5QKV4k32jw4e13tiJd2vs43jHCk3OziKqLNKzwi3cdoz2Uoj+VuLHaslyX1VqNzkiE5WqF621QaKrA1rYM//nZZ3F8j4Sm0RtP8J7tOwG4d9MIVduiGXe4tX+AjmiMjmgM1YZffeoxVEmk0O6gqSpbOtuYd6s8MTtNfqOGZ/hEoirT6wXOTS1zYtcw927fzL3bN3Ot+iy55iXmah6PT1t0xWOUTJPM3zMA8O8irYZt89lXLjG/UiKfq3Hfzi3kc3Xa4hEals2Ll2d5z217UCSJd23dTt22CSnKaxr+VUHkwuUlqjWTbZu++4wnaCWpP3lhCl2ReeTUOOvlGpIgsXekm3//gTdxYEsvC+slIhEN2/HYKLTiPv7Ne26/qcb1g4qFep6Hll8mroTo0BPUXZOHll/m7T0Hv2/kVS6X+eQnP8mHP/xhJiYmvqdz/NATV29kN0m1h5FIibIlk43qDMWzqKLMGWcCJe2Q9lRSvTof2HofnaH+VhJu7wHyZpUNq8L7B49zf/dekmoEy3L40z98gmuTa4Q6w6xuE/AV0BQJx0oQhE0s12WnM8JvPfwEYTQsP8Aq+Rzt6WUo1sauZD9RRSeq6Ly99yAFq0a5Pk5OXENSNVbtOl7gM1Mq8tDkBF7g86bhEXa0t7eKwde3KU+0baXmnOetOwcIOQlyNZs/Ofsyd48M4gczxEIKXhAlZzYJdIOQG6dDi9MVi3Ln4Aj3j4wwUy6xVK2iKwp2w2PDaLA108bR3j5ScYnHVy6xWLaRmxKCL75hDw/AudUVPvH8s3iBT0LX+Z177icdDrNWr5HUW56JK7Uapuu+hrhOrk9TC5qEZIWa2+Rdm44wW6iR0HV6YnFW6zU0RaQnEaU/Eaf3uvy4JxpjrVpFvJ5jtrO9Ay/weXZ+jt+6+1auGY9SspaRhDCd+m3QnqQjGkFCpGI3CUsaD790hcfmr1FxbaJlldNWmZlKjoZnMaj1MF8v0xaL0ClEOTLYz/Gtg1y2Vjgpz4Lo4ZVVNEnmYPsIT85NY1kGeAKLBYPPnLuMaET5mb37SOohAg+69RAvlGaYrPiMFdb55F1vv2EX5gcBiiSR0EKUzJYKU5NEAtVG1C3+6NJzmJ6LLAgUTZMXF+ZuENc7tm5nR3sHnu/fJGg4ONLPhzYO8o25MdmBOwAAIABJREFUaTp741iiix5WkDyJhmEzX6pQNU3SahgFhci31LwmKk/w1OofIyDg+k9i+Q8S1zZRsyxq9s1BjN8rqpbF8lqZ8QsrNG2HP515icObewlrCobl0pF6tTYlCAIxTXvd8+gVkWuTG8iKyHjDJ3+4fpMP4t8Hvt+KQ2laDuWGQeBDNKYyvVrgc6cv4UQFIikdxRVJRHW297VMhsO6yr5NPVyYXubla4vsH+lBVWQ+/fjLPHNpmq50nF988MTfGS/zj43TxSniSojY9Qn6N/+eLk5934jrN3/zN/nlX/5lVldXv+dz/NATF0BUybDj21wEAKbqq1iCjaJIlDyDpNKNJLRuiSLKHMpsIiprHMqO3HB9OHtqlskrq8gJlatX13D1MOVsQCKqIXgaB0Ob2R7OsLxcZqKRpypb9MsJwgmFf3fb/a+JmOiPZOmPZHmltMiGUcNyfDoTOhFV4QtXrhBVVQTB4dNjJ9EjIEkCbx3axaHsJtr0OB8Yug3Dtfmjl0/TGYlRd2wurG7wkztv4fHpa6yWq1gWqJqI63kYrsOezi7uGxmhZJo8Mz9LSJGxPIdKUCGkepzKl7lU6Gdf2wAxJcTj0iUWa0VS0QBD22CiVCIqZWiPRF91swdeWlxAEAT64kkWK2WuFvMcDfdzoLuHhyYnqJom29rabjIi9gOf6do6DhaGZ+H4DrqosbezC1H1eHj+IlsGNW5ngNlmDk2FiKTRH2nJmj9y6CifuXSBQrPJ5cIaBbNO4Ivc2jdI3rKouyeoNQqczm+gS8v0xmtcqFnoksLmWCc/3necgtmkKTr4vkXJNnEQyJopAkvBFmBnexsnBobZ263xcuGzPLJSZnv7LXxjyWRmo4YiwbJvs7AxjyWCiIAvgCiAik7eaDJVLLIj287KXJkLxSUM2SYR1imbBp+ZPMUvheJ8fWqaXKPBkd5efnznTiq2wd+MvUI1qKJoHvv6e3h5PocgBAQBEMDFC8v8m/mH+MV3naCvPcXW7GvzvBRJ4mdOHORnThykYdt86vRLLJRLtIcjnJpZJBSWUWMSKUHj7cd3sH9zSxL+lYkr/OX4CwRSFkmU2dpRoi1SZblaJaHrN3ru/qFIh0IETkC1aWJ4LpIvML6+wZa+dmzXZWo5xyOnAu7Zv/kmp45vR6nSpC+VJJuMsJyvkK80vmviikd0jm0b4KmLU4RUGcNysWwXWZX4xvwMjh4g9SgcT/Vx/44t7BxsEZfjeXz55GXqTZNX5lb5fFjnrr2befLCFJ2pGMuFCl8+Oca/enOr9re4WmRpvczu0V4iYfU7XdL/UuTM6muimaKyzob12raF7wWf+9zn6Orq4tixY3zhC1/4ns/zz4K43ggZJUZVMfF8j/ZQgojSUgg6vstXls8SBAGm5+ARcHtHK/lXlAR8fHJWFVt2iGk+tg+72js4MdhPoNmsrFa4VF+n4toYisOiXuM3b7/zNaT1rTjePkrDa8V87Er2oUsqEUVhw5hkvHSJy0UZ34vRF82Sr7/MjhO9hGWtVZgWZTRJpmpZmI5DdzSG6bhUijId4QSWZqM4Or3pTuqOxUNXJ6hbNobXagZdb9QI660tm6niBp7k8ntXH+Gjwn1kQwkMLHa1dTNWfoy5uSoN20W0D7A9tof37th1g7y2ZLJ8Y2aapWoFURBvJKmOZrL87L4DmK5LRzSKIAiU7Sau7zJTW+eJ9TGWjByB6OIJIulwgkUzzyMLF4lKYQzfoqlUOd45wv93/iwXggora0/zu/e9hVQoxC8cOcbTa5eZnZqk2DTYHh4ipiqcWloiQOJq0ScQJbJ6hMuVBfriSVRRYqq2hhHYHNzSyzP5K5TsAHSRVNRFlwXma3UqzSL1+DL3hYZ4bv0PWTfm8ANYYpGOtmEMp4MSBWzBxfV8MimdwJHIVRxkQaI7HEcRJVK6Trlu0BGKcLCznyeKV6m7JrIkEUge/2PqFH4zREc0ysmlRbZk2vilI8c52N/Go6sXqHsNmkGdLR0pyuUyjuujmAGe4TNWXuM//fcn+ONfes+N52kil+PU8iIj6QzH+191ioioKr92/ARnlpf49PlzrFt1eiNxKjEXS65x0ckx/vQTXMnnWaiWqVgqmVicvnSJuWKEj9x2G6rYSVhRb5q0mJ5N3TFJqpGbUry/EyoNE8/3SUZC/OShPTxzehpX8vF1EV8V6O1KUm1YdCSjTK/k6c0m2NSX5cnZaaq2xe39Q/QlXh1k79wzwtjcGsu5Cn3tCQY7XztZ/fsgktFJj8R429AeVqaKlGoGXb0JXqgv0RONt5xwOnT2jrxaoy1Vm1ycWWFhvUipZmI4Di9NzBPVddqSrdrlN0VKpy7O8vH/+nVc36ctGeFT//a9RCOvv4r8X402PU7dNW+stKDVh5rV3njs+m7w1a9+lVwuxzve8Q4qlQrNZpOPfexj/Pqv//p3dZ5/1sR1R+dOIsUp/MDncObV7n3Ld7E8mw49Sd01KdmNG68dODzMly+eYXWygtkZtArzIZkVa4lncgU2Zzuohi1yYhUNkUwyii349CTjPLt+hbnGBlviPRzObLqpsKz4OscS2+lLJkirrVnim0dG+fS1L1KzfBRkHKlO0wuzUfXx/IAgCFrEJUm8e9sOnl+YJ6KonOgfZDVfodq0cAyRqJJgJN3OTGUFKyjQtAU+P1nh9r5R6rZNw3ZIRkKE4x5V10DxVaYXbX5742l+4cCt1+9JDcvPoQRZJAxQF1mrbyLfbNAda23l3L1pBEWW+PKVKyzVq/zOC8/xS8duYXM6e5OK7EJxgifWLqGIIeqOS8UwUSWNqKLTrifYluhhwygTBBDgIQgBQiDyyNVJdFkloqhczm0wVy6xu6M14/3i0mlSaoTaisfzyxN4UZW2rhjpVJSIplC1JEzXQ5cVJFHA9ByiSoi0FuHuHUnmvVd4ZWONuBZio1FjptJEUX06syrlisDvnn6aY4Pr2J6E78sIsomuOPRmdUobIqZnEtYDBNmlvy/BaE+CiBBhT3yYQ10DDKfSNCwHW/JJ2CH2hDuYktbpTIZoijXsIIoQ6LjXVZUXVldIhEKkQiF6YklCUhvTtXX2JkcYpE5c0/j0Uy+TUDREQaBYbcWOzFfKVC2T33/pJG7g4/o+rudx+9DwjfsvCgKnlhfZlMkwUyhxsbyOCIQ0hcemryEKAr7vUzQNAhTWKylcN0JISuF6GdrDNysCS3adLy2ewfAcOvUEb+s98Bprr2+F7wc8dPIyj5waRxRF7tm/GVNwCWUUqo6DEIJKqLUiDaBV4Gv94pm5Wa4V8kQ1jS9cucyHDx5uKRCBvSM9/PYH7ydXaTDam70eMnkzalWDqxOrhEIqW7Z1I31bv1XVsnj46gRRRSXfrHLk8AD3DI+QazS48PUNVms1wrLC5vTNdd7z0ysokkipblCrW6gOIAFaQK7SYKgjzTtvaW3pPvzMGD4BbakoG6U6L4/Pc8eh16oz/zFwOD3CQ8svA62VVt01qToGd/z/7L13lGVXde7723nvk0PVqRy7urs6R7XUkloZkAQYIUTGYPPAYF/b+HnY1wzbz4FrwPbj+nFtnsAGG7BlwDZZSEI5NJI651RdXTmfOjnuvN8f1eqmkYBrIYc3rO+fqrGraod1dq0511zf/L7Mhlfk/F/84hcvff/Nb36TAwcO/KuDFvwMgevw4cN84hOfwHVdEokEn/jEJ+jq6qJSqfBbv/VbzMzMkEql+PSnP01r6ytTUnilcUv7BgajGQD6w634vs++3Ch1z6QvnGGyvowkiNyUWWEJncstM1up0Hpjgq139rN3doQLCw2ioTxNqhyYNWiP2aSNAV63cYD7T01Q8k0yUZ1nC6dwcMlocQ7mL9AVStIdWskI//n0CT5zYD+O73FDbz9/9prbAUgaBhvT7Zycn8RoetSaMjnXoj8S4zcf/j4EAds7OnnXpi10RmO8ac06njgyyqe++RDLpQopzSI33KCp17hn827+1/5zzBckfB9kqcGh+VmSRpiehIrlT7A1neZQyaSY91Ell2Yz4DunR3n9pj4WrSWSagLXsyh7DXynE0WSiKormWIQBIwUshxbmmb/wgwtRph8s8nfHjnMn952WXm+7uZ5YO4Byk4TWRCZrcYxbYGyW0WSQRIERATWJ7pRusJ86dxziL6IrqWYLVcwHYeIphJRtSv2OqKywemJRXIlEwKBc6eXSCbCtGcy/OX11/CJJx7m7OIcq2LdlF2Hhu/z2jUbuffYs9Rsi7uGtrK9+xRuUEPwtvD1iTFO1+pYFjhOQEs8zGR2kPbUWTS1iWt3MBDewlhQ4841rbRqFhN1h/PVEjWvwdpUJyk1wlAkQVs4QqnW5O+PH2ZeriJFRLanuxnQNYp2HdNzuLlrLbN5k8VaDUWSOLa0SCDAYDLOmngHU/VlVnu9PPbQJGXLZGCwhdVamrm5IqIg8O7X7OBLR4/w8Pgo2UYdCYFd3T0sVKuMFHJXBC4AQ1awRY9rB3opnjcvlqQF8s06qiRjqAqC00QRRDxPptzQyKST/MFTj/ORXdeyqe0y+eFCZRHLd+kwEkxWcvz3xx9kuWrytvWb+bnhKxXqAXKVOs+dnsS42Dv18IGzTNcqFAMT2RNItYbY3tdNKhlm+1AXJycWGOxIMdybYeR8HkNZSV6qtoXr+8wv5jk9uURHKsrmVZ0UPZMzuWU2t7VfsZfquT7f/94x6jUTx/Gp1Ux27b5Sbsr1PfLVBs/Mj9MIXPKNBtf19NEaDvPJW1/LszOTtITCbEy3cW56ic6WOLHQihJ+XybBsdE5sDxsEdQmqHWfv/yDu4iFLvd7drclODwyQ7HSQBQEOlpeWkLrPwK9kRZ+rmsnBwoXyFoVWrQoN2U2vOKswp8VLztw/fZv/zb33nsvw8PDfP3rX+dP/uRP+OxnP8unP/1pdu7cyd/8zd/w7W9/m49//ON8+tOffiXv+RWDLEoMRS87uH5t8jm+M3WEZiOgIxLlj3a+maiiE5I1Ds7N8ufP7SUIAgLZ4Zo1AV2JBIV6QMPKklTSRBWbC7UZNqs93LNmO45oIwc+hr6fqvssijSMIt4ArPSnvICvnDyBLIokdJ2905PMlEv0XOzwd80dDKQvENfLTC53sS65lrP2FEcrE6hWnIlSkZCi8L6t2zk5vsCx07NUiw2WvQZVv4JU9nBTAc/mz/KaNTL3HTHRFZ9ESCUmxIip0NX2NE5Qwgl8UsUN1AKVFilOWo0hAkOhTl7XvYlccyMHC8+Tr/tkxA1sae++FDxOZpf4032PcWohT8N2qVoWHZEonn9l02fFXsINmiybLqJgU7J8VhurWSW1I3s6G5KtnM8VOWTnmK9WuDa5gUfGLvBwdQxZEhFFgZhm8DvX72HgojwUwHv7b+LXzvwTliCglMPkmnUWymXe37GTkZllpo5VaQ9nODdXYPVQC5v7Ovi74wdxtBqaJDNxOM/nbnv7pexdV1v52oTLyeUsET3KulgP44UYtdIwM2Qpe/DW1QOskiOMFiaIaFO0GjaaFGOqIXM0O4l5TOFBd5qujgSaJHGyuoQhSfT0xNEtaIlFSGoRQqLKumQXV7XqBEHAX+x7lrZIBD8ImK/U+fV1K82sH/3CA+iKQioSYnasyK7V3RhrBqg0Lbrb4nx57Bhl08SQJOZrNY4tzJMOhbiq80oZI4C7htfz+MQYraEwG1rbue/kUXKNBts7usjX6yw16rRFDeK6wqq2KJOLFq2hMBXb4ltnT18KXFNLBY6OLDAp5ZEzIvum55mYswjLGn/+3NMMt7SwpuVHXAdkCU2VKNaaBATUXAdHCGiPRlksVYmIKoOpFJlwhMGNKa7feJlefn1vH984e5rFepXruvuwLZcH95/D0BTG5vM8NTfB88uzBEHAjs4uPrxjF989e5aZXImErbI0ssjQUDthQ2R+rsByqYbn+zQsB1/yma1XmZkvUrBNDFGmXDaZKBVZ35ohIMB0PSZyBf75gWOYTZuwrvG777qVa9b3ceKBeQQEYq6EqYOqQr8SxrJdHps6T3sqxsa2dn7hzbtxfY+J+QK3X7eetQMvjwH5b4XeSMu/S6C6++67ufvuu1/W376swGXbNh/5yEcYvphNrV27lvvuuw+Ap556in/8x38E4A1veAMf+9jHcBwHRfnJnen/GXA0P0WpIKIKCmerZUYLea7vWslUD87NIosr+zYz5TIbQ6vY0dmJMxDwp4e+iB9UWd1psi61idd17iEsa+zpXMO+3FdpeBMklRbs4AzzjU7WxDdeMmsESBkhlmo1/CBAk2UM+fJY5RsqafGt9KcFfHOZEW+SuWABIh5+2KGRU5gulyg2mmQrNURFYKFZpiyXsXyTQIOorHOiPMOvD97Ad7XvUbcC6rUMw+1RkpEchm4RUfqYr8/QqptkhQT5moUpV9BlGU2S+Na504wXi2xo3cA7h4ZeRM8fLxbINRsYqoworFC6BUTed1HU9QWElTRtmocXeJiuQkFWyNl1vMDj1sxmzi1UaQnFOLowz9HFBTojUZbqVWRRIKKo2J7Ha1et4paBVZiuw0MXzjNfrVI3bbrC7TSyy9Rdn9Z0iKrkULVXVMERAmJhHcEM8N0V5l5ZLJKQdRQZslaepudcClxdeozNYYmN4TCi143jRti9qZ9HZk5xND9NbyrKfePPsUocpDuc4LkFg550mIl6nqJdp1K3sPQwPdUws+MFaBFIxw2WqjVOLC4wG6oyYCW4qXeQm7qGODe2jO16bF/dzY6OLg7OzxIEcH3vZcfrqKGxXKqtqHqoMrIooakyZq3G3586zkgjBwHIkoSAgOf5rEqm2Nbx4ibx1nCYd2y8rK9355qVUpUmSTQdh5F8jlOTC1TMBlv6Ovl/c4cwHQcJYcVJGqjUTe595Hmmm2VQLLrUAMOJoksBCcNgsVploV59UeBKRgzeecs27n/+DAIC6wYz/NWjz+M3fdKhED+3aT1v27yZQqnOd06eIqQr3LJ1NfGwTmc0xod37MILfHRZ4cljFzg2NkdHOkY6GmLf3CypeAhDkTm6uMDfHTjEs+enWC7U0DUZpeqx72CWqKaxa20vh775DIdH53ADHy8usHFtB42aTUcsQkRUEQBDUVbcsM+eQRJFzk1kGS3nGGxNkyvUOXphjjt3reP9t1/NdLbEvOnjVy26JZ0t2/p4599+lazQIGJovO+q7Xxo5y7+2ztv+t+dll7FS+BlBS5VVXnTm94ErGiqfeYzn+G2224DIJvNXioNyrJMJBKhUCjQ9kOlhUqlQqVyJUtlcfE/vtt8KNTBPieLr3nENQPLuqwUvaE1w2MTY8yUy6iSxOaWLhJSCCvw+D+3v50jxcOk1Ag7U1dxMHcB1/fI6DFwoeEEmKZNW0Tj9p4ddBhrr9jf+tjNt/AnzzxFyTT5xa07aPmhRtSrOrv57vmzVK2AWweH+MfFccKmRtNycQWXiOEjCB4fue87uKaHZduUOuvorozbIuN3eMRUgxYtyiOjRZRgENeuM2FWiWkFNqkRooKKIJYoNWTOZ0MIgojv+1zX20dU03hsYpyl+opX1ImlRdakWxj8EWvvNakW4opBzjNBFOhLxvmTG29jY+bKbDKmtHFt6908kz3EgisSk0xWh1uZbRTYOzvOqdkSAQEN20aRJLxgpYdNBOq2RVskypuHV+rtRxcWGM3nERB4YP4oKDZej4Nc1TADn4Vajc+feI7WtIDfajKTKzEYTrKqI02uUWN964q4bc3yWJ9qI6Fd7NHzff7y2UeZrWQJhw02d43z9nU7eeD8PGOFEpWKwKzjYCs2WanIbDCD6bm0+m1UHZtuI8XEUomy5nKhWkELBHq8GIYFCh66rpKOSJxenGZyeZFn9o9TnncQBIENvW3897ffzJp0Gsv1cH2PirnijPz+O3bxxYcP0TAt3nrjNSTDBqenljheX0LQBLZEOzi6tIDpOvTEYqxraWWsWMD1fRZrVQ4vzNN6cQX2QgltOluiVGvQk0mSjBgEQUBIVQnqPoXFOrqicPpUlg9s3cGjk2OEZYW3rFsZ/9lSiWPFRURDpF6zKWXh/9h8Nb//5KMs1WoMJFNc/SOrvRea9Vd3tvA7b7/l0vFwQuPp0QnWdbZx18Z1SILIVw+cQ1dlloomz5wY4427V66rSBIKEuW6yYmJBVriYSYWVkgUq/qTjNQL+H6A5ovcv/8MNdNGEQSKpkNCUuhqSVKsNzkwM4sXgGW7KIZEvW5TLjbpzsSxGi6yIvGmrevpjyfwggDL80hrGoouUpBt/HoBV/LRjJVptDUZ4e13bOf0+AKZQOP6Tav4+INPMhNUEb2ASsHnX46c5Be3br8U/F/Fy8NPHb2HHnqIT37yk1ccGxwc5Etf+hK2bfPRj34U13X50Ic+9GPP8aMNiF/+8pf5zGc+8zJv+d8O7xm6loWCRbZepyecYl3r5Un3xoFBFFnmxNICy/U6f/n8XpbnSyQVg9esW8dbtr8BQRD489Pf5Ux5hoJVIyrrLOcEruqSCalFpoq9/EV1P3nzCVZF2/AJ6Awluaf3Gj73hrte8p6GUil+Yct2JktF4rpO60IrU3ZhRS9QCnNVf4aDI9PYdZeWRIRirkHLugh5rUi9DoIb0Gz6fGjza/jOiTEc30OUBDRZxvV8bDeM7t9OQh5DQ0QOQvTEYozYBfwgAAFUSSIIApqOg+v7LzI3BFifyfCnt9zB98fO4/oetw+uZW1L5iWfaXNqEzG5k9974hGW/TJj2bNEFYNcVkC2RBqugyv6tIYiVG2L3V3dbG3vQJVk7l63gcRFoscLKvO5Zh1Z9wgEAccRcY0mjqkRVzQOVs6yxkgirXHYtaOX9w/fhKZIBMC58ioenj+OKNS5pa2XJxf3k7cCKnM+ew9nkWWPtrjNQjTA8nymyyU2p7s5W5pnud5EUeGsk0WM14hpKgumSrsRx/V9TM1HL4JfDSAksSHRSWu7RjVdYTRfYaa8hCQohFU4MzHPmlg3KUPn7EyWatNiulTk3kMHqNk2MU3nj2+6hb5Ukt995y1XjGVvW5JTTpaF+TqaorA21UJ/Is5YscRMtUJfPM7+2RkeGRslE4myb2aGkVyON6wdplIyeWD/mRVbD1WiY73GaG2R/ReKFHMWyUDjzWvWky812JBs49rePkRBuLQqVXUFXwfJBkWUsFSfPf39fO2edzBXqbC5vf0S89Dzfb5w5BD3nTyGIAhsybTzZ7e9jtDF1ohbVg9xy+rL+0224+L5wYoTtR9gOVfajRRrTfaeHGMhX2FNdwvnZ5Yp102CpYAgKSIkRHILdXzHXzGbFSHUWHmPJUWgZllgBjhegON6RCUVJKg5Fr3hJLdvWc32ga5L+3CyIHDb4CoeHbuAaIhs7e/Ab/roYYW+rhRBEPCdc2f5wegEp6YWaRfDbNvcz7RdQXIFPCcgcH1qyyZ/ff/z/Nqb9/zYeehV/HT81MB1xx13cMcdd7zoeL1e55d/+ZdJJBJ89rOfvVQKzGQy5HI52tvbcV2XWq1GInFl0+r73vc+3vzmN19xbHFxkXe/+90/y7P8q9F0HBZqVSKaSiYUwVBUfufqW1mqr7C2XlAyeAHX9vRycnKO4pEco6UZWlbnUTI6z4xZ7FrdR12qc6I0RbsWZ7ZWYMkqE4gyT86tYUBppeTbxFIlao7JyMICnXqC6UYeEZH3D938ovs7u5zl4bFRxgqFi+XEKrNZC1FIYQUOuzoHAR9DV2m4NsuVGpIkMNzSxhPZIopnEEeh0fRpWC73rN/I8cUFlms1BuJJvMAHLCrCKYr1KqFwQFt0FXXTY0Nrhs5olL5Egt0dPfz+9x7h8cIF1vS2ovwYunOhYdK0PIbSaVanfnKNPFttYNuwLjbI8/OTVJGh4NCsrTjmiiGBgrxCFIjqGls7ui75TcFKv0lTrrLgZpmp1tAlBU9rEDVUAs8gkAxkARRFoN1IULCr1KX6JaaZAAzFUuTNBnONo5yrTDJvVggL13DfkQlqMjhBQLVo8tb0dlJaC73xBGezWdrEViKaTNFpIEZMmqKLKoo4vss7+q4lqob4h/xRCqpLJWOhiBIdyRir0mlu3r6Hg9lxvnDk++SqEh0xCSfuU6o0aNRtetsSHF9e5J/PnOR8IU8mFKZmWzw2NsYbh4fZNztDWFG4tqfvkiDve7dsp2xaZOs1PrB9J9f39fPw2Cim45Ct13lsfIyT2SyDjsPxpQXOF3KcXs7S4mjIgchAS4pzi4vkslnKZsBMucRgIs3kfInvT4wy0BonUP1L13sBfYkEOwe7Gc3nadVU9gys7EV1RKOXZKhewHy1yuMTYyiCiCLLnM/nOJtbZkdnFy8FVZG5cfMgz5wYR1Uk9vyQjJLn+3z+wX2cn8lSbdosFqs0HRfdkMgVmnhOQLSu4zZd6oGDUgoIgEhEQdNkitUmYV0lHTUo1Eyapo0syQwkYrgFn9HCIvPnioxvHuRdt26/VBbf3NbOcEsry/U6Xzt1nIptk9INMuEwlufy0IkRjp6ewZcCylKD/+ebT7N+bTuV0xblUhNZE7kq1cnJyf/46tL/3/EzkTP6+vr42Mc+dkUGfuONN/Ltb3+bD3/4wzz44IPs3LnzRftbsViMWOzHKzX/e8ByXe47eYxjuRmKdo3Xrh7knUNXo8kKvfGXVodwfY/T58bJBRXaB2aQAxtJDKOmRpgwF3m+OIoAnCxPU/Gb+J4Aoocv2iiGxOpojJlmFlkQES7yfGVBoOI0XnQt2/P4/tgouiRxoZjHKS4QiBZlJ6BFjaF6LoemlhBnfEJhkWbSRrUh0uNzzpnGbAq4QpNmxaYtHONA4TzFrIIb+LRHYgy3tnDb4Gq6ky4PLz5LQu2kJha4c5PCnvSddESil/5h/+9vPsHZkUV0SWHWLPB07xjv3nKlb9R4Mc8fP/U4TuDz6PgYqiRx5+ofr2dfX/CyAAAgAElEQVTYE0ugyTJz1QqiL5EwDJqI1EI2guChI1LBIx02mK/UOLwwfylwVZ0m35o5wKJZoiBn2b2mj7oVx8Wj6dnUmh4RLU5KiVENG0xUl2mYDlv0Yeq2Tfhilv/A9L1M1g7iBSa5ehthNUPEaOLIAWk3hON6GBGVO4ZuwPY8eqMxnp+expAVFCRCoo6qSDi+RVozSHsxli5YDA318HvX3c69Tz3P2UaWtKcznS2yZ9MAiiATIcqvbLuZkdJhjucbDG6PEG1G2KIOcevW1dw/fo62cBRNkilbFjFNIxUyuO/UES6YM9Q9k4nGMB/YuGInkg7p/OZ114AgkNJWWinesm4DC9UqXzl1nNXpNEv1Kk9NTmB5LsWmyWKtyg3t/cwvlhADgbChEoRcqraz0mahCEhRkUaqxphe4X8cXeb3dtx5xd6sIkn89nV7OL64iCJKHJuY59GTo9wyNMidm65kE8qiSETVmK9WsW2bmK5dkgT7cdjQ387angyiICD+kCBztWlxbipLJhFGVWRkUWTRrrFYq2G5LpGIjif6OL4PzQARAVkWaE1EKVYbvHH3MPvPTjOTLdJ0PEKqTEs8xJ4Ngzx44BzpeIiIoXJifIE37rZIRC4nsKokkTIMZsoVRot5WkNh7ixWqJQtJmdy1MIegQRKEJCt1/iD617HFwyNwwenUU2RUrnJzrUvJsu8in8dXlbgOnPmDI8//jhDQ0PcdddKiSuTyfD5z3+ej3zkI3z0ox/l9a9/PdFolE996lOv6A2/Usg1GkxXCjiiSUw1OJ6d5+r2JdbFL79UddPmB2fGaNgOe9at4mhtgkK0RAGTeMZCyesoUphtvS3M2QViis4bu3bw0PxxKhVo1lcyeyUW8Pq+TbQbST4z8ggVv0pGjwMBsihxR9eLzQNFQUAUBBaqNQpmnSoVJCUA3adgOxiujBMorIu2kK1Xac2EiCZXeqIqDQc5bKEg4vk2Qy0Jig2LBy9MEFJUJEHA8wNuGRik6lRRxBAlewEfn/7IEN0/5HCbNcv8YGwcV/Goiz75SpNnJifZ1d17ySoF4MTSEvlmk6RhULJMTi0t/cTA1RGN8rt79vDs3CRSIDFTrnC4Oo5hydSsgM6OBCN2ASQfURAoNi/30lWcJm7gIQQ+JXuJ0+Vl1sR6uDF2I3+1fx+OBwMJiV+59hqyVpGPHfkuGgqjxRwPj41y98U9mkXzPL6XZixvsVjWcQKZ1a0mazNp8jkXNVC4e9sGJFHg66fP8C9nTjJbqRBRVCRR4O51G1Flke5kiFrZZGysiBRRePTwed5163b+7O47+dazJzk3naXWtPnrB/Yx61VYUhsEqsBV/WkKeoW05DGlz7Orr494RGdzWzsLtSrr062ULJPbh4a4dXCI39t3CkmGuBjmaGmchruT55fP88Xxp6g4TbYm+tgSGyIjpVmdTpMyDJK6wUguR77RoOHYqJJ8kR3nMtyVwdAUbuhfxdrOFo5VJzgrz1FpdFJv+AymEyjxBkk1znKzwsHcGF29V+5tpowQNw8M8i+HTvL0xDgp3eDvDx9lqK1lRcn9hz7vX9pxFf9w/CiO7/H+bTsumYb+JMjSi3UOw5pKKh7iQHaemmPT3RIn0R+htmDj2C7lsklUUZAFAUGQcUQPBBHTdlcYjYpMV0uMbKmGIIhoqoTleCwVa6iyiGU7+J7Pmu7MFfJXsDIn/OUjP+Dw1Axd8QTTY8v84dHvsTbWQsiWkRWBoBmAGtC6KkZXLMYf3nQrzWttnjs9hSQIXLO+/6c+96v4yXhZgWv9+vWMjIy85M8SiQSf+9znfqab+vdATNPQZJlqzUETBTK6xgoF4DK+efgIe4tnQYS9T5xnSS8zadk0ah5eNsMd66AzEyLvtZD0fcpOg6ogcm3LGiZnT+GrZVTBQagZnJgt893iFJvTG/BEmzvWrEYTZWwHklIMxzeZqh3E9Gv0hLYSVzt445phPnfoALruouh1HFtDj1tsj8i4OZGxJThfXsLzAhK2xORYAyFSQwhkJD1AET2QPfKNGss5nwYNZE/A8QJi2kpfiRRorNfvouzP0BNrY0tyyxVjcK4yR39fBOusR9Zp0paKsq2riycnx68IXJ2RKGFVpeE4iILApkw7Pw5+EPDghbN8Z+4QIVViW6abZq2K3u/hVQVcXCJJke6mzmAoRUZL0/NDwbRFi5JQwuxbPoGPg+PL5KxZvnH0BAu5OklNZ8zPM1rIc84cRw102kIGFa/MQq16+TzKMBeah1ksZzBknYTST4J2Pv76Gzk6N09IVdnU2Y7lrTgALzfqNF1npZdM1ZmvVvjA9p30xhM8dPQMgQ+NwGSqnme+ViQZMShWm/RmEjx3ZpKZUplJv7xSam2DfdMLZPobZPQ4qiSTNcvASkmqLRzBdF26YrFLYrKDiRTH89PookZnLMI/nTjJ15afwA98YobCyeIMJ2dLbA4P8fi5C2ScECdn5rnglChaDQI/oKZbSILAUCLF2dIMRlQg2aoQNXT2GOvYk1kHFxdLB+ZnuPfcoyw3KyQMjVb9x6snVCwTnwAr8DA9h0rTfNHvXNPdc0W59+VCkSU2benk0FPzdMfj2PGAkl2n5jsEso+iyviNgGRUR4iJLBZq6BGZDUNtdMXjXJjPo8gisZCGaXvUTYv1fSles32I23eu5cTEApoi8fqr16PIl8viuXKdBw6cYTFbRZYlpucK2FWLVklmZi5PYHiosoxhSMQyIa5Zc1mxxFBVbt22+md+9lexgv+y1JaopvGhbVfzvQmDnFtmZ0cvZbvO92YPsSO5iuem5rlv7CBN30cXBSrBPJInU/YEQi0SgtrBwQUNw68iixV8/wj39G2BIEvJDkjpOjF/ETHwiEdKhI1j2LkWIloXtidhNuHZhWkcz0MUp7hpyMIMJlGlEGcrj7Iz9XYGkyl+c/cOfmvvIRbqNi3RKo4ucn3fAG66xtxiCd9M4oRcan6NuF5DNDwc20fSVFxc4orBgpMjZcSJJTxsu0qX1MG7N2+hYpr87hOPslirElIU/uimnVeUfZcbdeRAYWhLnNa2EEdn81zdtwrTdWmPRFiu13F9n/ZIhHWtGe4aXs90qURHNMp1vb18fvRxDhXG6A9n+LXh2y+Zbj4xMcaXTh9Ai9iIQZgz+QXKrkN7NIpnCEw4ZbLKPGkjwqCSpiua5paBy065mqRwV89VnC2fRhElVFGn6dYpVU0ECWqOjRSIpA2DuB8iEw2xUKkhANetvjyZvKn/v/G9ye9xUp2kWo0xnasjRUuUN5hcN9h/6fckQWC6mme5Wcd2fAQBhlsyRFSVmm2zf3acb8zuZ26uRsO3SLdp3DuV4w8S97BzbQ9PH7tAod7ElFwCG0zRwStDVzpMXIWFZolWLcZNF2XFANoiL9bY+8Xha7l/VqfmmCznAr4yeZxm3EYSoGz52LaPUo1woZ6jMWdi2DIT+QINxcVWfSQHpLqIkpDpUlQm/HEins6nzn6X39/0livKgH7gsbpF4Fc27uB8pcZArIWrWl7sVux4Hmdzy3hKwJRVwm8GdIRipKL/e8rxP4qS2eT+kRFKVpOb+gfZlHnpHqeeTIJkX4T2SITz+Ty6KyGIAggijhKgGQILRpOa4CBHIRrVmXTLdAlxejNxTiwu4UcEOqQoqpjgV954HV2tMSRRZNe63iuuZbkuc7kyf33/85TqTaoNi7ShM1qvEW6AZ7uM2FVCgU5PKky6P8a6tgxv3bDxZY3Bq/jp+C8buABawxF+ceO1AHxr+gD/c+x+fALC4l4GnXVU8alSwbcFFEmgTdQpew6+r6GIBuGkgijaRCSd07Vpvjb5GMPRKI9nc8iGgNe0WRv36U5OITBHZ2sv2UYLaT2JKIi4vk93PMFcpUyuWSAZ0tHEMFUnhxc4yGjoqs3r1qpcKIURJAcvsKi6z+JJEr1reqnYOtP1IgnRp2ECTQ1J82hRNQIpRFcoxcnCDIas0m4YCGGXP9x+K/2JJHunJ1msVemJJ5itlHl6cpLB5Moqau/UJPvmZgiCgMG2DBvX6rx5407OLhVQRJGorvOlY0dAgG3tHdw2OMQHt++kZJokdJ3T5Wmey52nQ49zvjrPYwsnuKtnFxfyeT5zYB9LVpXAqdMd9WmNtrAq0srZ6jQlr4IZmLiOSMGqIccktqVveBFRJiRrvK3/Zr4x9X0aXp3bWrdyPGwgicssNGu8dmAVfYkk6YiBKsrkU3WuSq9iVfwy01GVNO5e9RY2phb46Je/T5uv4i57fO7+5/nj911W+xAEAVe0SOoaoZjMYrVBeyRM0jDoicX5xNN7CSkKyX6JhttgzUAHS80KX9j3HEJBZbA9xVoxwyMHz6NZAs00JPWAQUdmV9tqdqYGGYy2EVdDPHthgu+dGaEnHud91+wgrK2UqoIgIKaG+PlVe6haFr967n5s14dKHCdcocUIEZZTiCGDasXGJ8DzfGzJRwjAl0DwQDEhKeqIYRcRka5Qivlmgana8hWB60J1L8vmBQLgho7t9IZfuuz7+MQY++ameHLpDBguUU1BU2CxUWUw9ePtb154pnLdJBAhYegIgsDeqSnyzQYJXefB8yMMJpKX9iR/GNf39HFwZo5vnzm9Mg6+R1hVaIg+gR3gpAQiSZ1KxcEMQV40MfIKR4tz+EmBZaGJGINUa5QP7NzJklvjG/tPE1ZV3rJuA60XW1JG8jkeOH+Oo0dncCou6dDK8eJCneFomkKzzpJtIoVVInEDs+Dxvlu2csurq6t/U/yXDlw/jCeXTqMIMgktxHy9yLKbx9dN5CAA0UGwJVRJZHVHmMFoGyFd4NrOAb41t5+T5Wn8wMPyAg4XawQBxA0D0SiQii6iywFVy6AjWcJySry2fwedoQSH5ueYrZSRRIG18atYsPdSc3N0hTagSSsZd1hOsTrahSTMUnXCyEKNiJzEEwIGIj7Pz7kkxCg396/nbPEZfD/EulaVtS17+Or0EWpuk1WxNmRXIxRS2d0+yPBFmnprKAwI5Bp1mp7NeHOWb0/7vLZjMwfmZumIRKkIjzPXPEHd7edo8SYiagQB+JfTp+iNx2mPRDg4N8uNfQNosvzilYIgIMCKmjkwXiogCQL9kTYmaovE4mHuGdhJUo2Sr6/lSHGUb84/jy8EqMh4gceF6iLXZ14sHbQpsYbh6AA+Hpqk0ycXaDs3QzJicP2mAWp2kyezp9Eljbf27UKSJFzfpeaaxOTQpTaN/mgrCTdEazyM7XoUqytkGctxkUQRWRLZ3tHF2aUitu/Rl4rxoZ27aA9HWaxXUVwVU6wgyQJiIJA1K1TrDodns+iKxkMnxoiaMkZURVMFRMEi2uoz16jiTiv0ZDLE1RAL5Qr3PrsfQ1YYy+fRFYX3X7uTuUqFL/zgAPlig2tW9yAYIvPLZeQGBLJKh9LP56+9m2+eO8NctUIz4tLZYnBqdBGxLuAoIDqgeCKxQGXAj9IjJzDVGnPNArqoMBi9vLLxA49lc5xyQ2estMyo9gPetmrjSwaQkUKWOeZx5AZOIFJ3wHGLnKiNscPrRJMUbM+7QpAXVoLWg4fO8fWDJ1kyawytauG/33wjAMv1Gg+cP0fVtqlYFv/XjTej/0jfk+v6ZM+V8M7byAKgi5S8JoK+Yoba2h1ltlJFVkRsf2U16io+bbEwj+YmkDSJ7rY4BcEkkQjx9SOnaYtEKZsme6cnL+2DPjZ2gZiqoUsydcHG9TwMVaEtEaW7JY4oClTDCmXTpmA1SeoG0dB/DsHc/6x473vfSz6fR774mX7sYx9jy5YtP+WvrsSrgesi1sQ6GK0usGy6hBWN3Zl+JpuLWKaFKAqEQhaR6BwRox9Nt1gd72SymeVX197OX537Pook4fplynYVTRQpmQEEbdRlKFdK2J5ERBUYTCepBTVSRifv2byVhVoRjyIPjU5woqTQlYizvV3hf418maik88HVt7E9fTdrYssU7GlOFL+LJCg4Xg2TNlr1dlw8FmoekcgwO9qitEo9HJhpssofIqRKfGDz1ZTdJrbv0htOXyoHdkWjvGfLBo7OLzLiFJj2ZrkwPst4bZ5UOETWPI8Q2osoGFyon8cSZIqLw6iCSls0wsPjF5AFkaRh8PObt9L9Q2zMzcledqeHOFQcZ3W0k1vbV8om61szF/fCXPrDGX5p4zV8feIwRxbniEgGv7P1dRwsjzJRzyICrWqMgchL94MBKJICrLBW+9pS9LVdzvJ//eA/MFpbRAgEjhXG+aXVr+FTZ+5nrlnACHR2RTdzTWcfa9Mt3HHVWh48MIIgwHtu3c53jp3hn4+fQJNlfuOG63jf+t3E5TDztSqv7V9LXDP4+N4nmSpXCEkySSFGxZQYjrewJdaCG0jsFeaAAD/wSeoGS04VPSFhuwLxeoK65XJ8YQ5jn8F7X7OTctPCCwLiuobtu+RrKwH068dOMjVVRFcl/mb/Qa4f7EOriNQtl5io8KYd6zh4Zpr6XJO+dIyr1nQzNV1kZqGEHpepSy5SUyCm6GzsyLCms5UP3ryLM7VVzNWKdEsZUsrlhEMUJBRSnC0cxVBkCtV2Ds7PcVP/i519O5MhDlZXmJpe1EQV4brOHpA8xvPLfO/EKFmrzvrONta2pAGBLW0d2JbL8yNTZN0aAgJjs3n+4cQx3rB6LZ85+DwLtSotoTAns4scmJvhhr4rr31qapHFQhVXD3DdAE90CcKAIVL0LYblNvwoTCwXiLsqad0gGQ7Tm0miZafRDAVdVZAEAU2SkAQRy3WxPfeKIBlRNSq2SUsmiu8H9CdSvHbHWsbmc/zt9w/QtGyCFol4SEeTZNpTETb0Xd7fPZ/P8U+nTxJTNX5+81ZSoRBnl7OczC4S9zRyy3XakxH2bBpE/QmWLf+eKFqzTDeOUHfzhOU0vaHtJLVXhgkZBAHj4+M89dRTlwLXy8F/jpH6T4APDd1KQjaYN0tsS/ZzrrLAVb1Jpssl3EDBwCHvSbhWk7xdYyDSytnyHBktzp1d2/jB8jlsEtzato6pcp0TizkEX+S5xTCGkSNlmByfS6OrFq/tXCEaJA2NOesIP5ic48nlPHVBZHRR4snicbYke8laZT53/hHePXA93eFW2vQwin8Ky58nV+lg/5RORDUpW02iKQNDjvLlMzNgLrOnbS2rkhkWqhVcH3rCl4kUQRDw4OhZnsh9B0UpEkv1IpQ9amWDfLPGg/nj/Oq2KLK+SCkA/AiTDRE1aLLs5kkJ6RWViSCgL5nE8V0enxi/Qt5JFmX6pH7GKh4tchpNXMnWu2NxPnnr6xjJLzOQSDFlzXNwfpawaFB263zxxGH+563v5ZnFM4zWFxmOdjIc7eLxiVE0SWFbe+dLZv4/ioJdY6yWJaPGsAKPQ4UJtuZHmW3mCQshRqtLxJhheaRJeut23nrjVm7YvApFktB0mV/66jdJh0I0HJsvHTjCX7zl9bx93eXn+9bZ00yVy1QaJrO2TTKkoSsqhabLwbEiH919A8+Oz3OhUsATA2JtOnm7StxQ8FoDzIKLoPp0xGLULRvP9xlqTTOcaeH5mUlkSeDaNTsB8D0fLwgQNQmn7nN2aZla3cSt+5gEHD02Q28mRUcqymK2yuPZ80wtl5jJl9AlmZCnEFYUvGbAuaUsebvBzPeWifcKHB2bg6yBpKi848ZtvHn9BmRRpC90I884JoYSwfJiuJ73kuN8Y/cqxs1Zhv0WFpoFDFmjKxpDE2S+s+8sxwpZVCQOLM3RcG10RWFrWwd/uOdmVFnCtn3kQEBXFVzfp2pbDCbSNB0HSRRxA/9FqzWA1lgYnwBVlBFwscPgaCDhgwQNweU3Nu3m754/SF6yCCEzHEvzjR+cpOFZVDyLjliM2zesxlAU3rh2mL1Tk/Qnkuzp7WepVuPxCxeYWyjiCQEbBtp411VbKOTqfPKrj1M1LUQBdq/r45iZxfQ9SEjUoz6241x8Ho9PPPEkzZpFoW7yzOELvGZ4NV+ZPoXluHgVl3es2US+WiceNti59mcnrvysKFqznCk/hCZFicgt2H6dM+WHWB+/4xUJXuPj4wiCwAc/+EHy+Txve9vbeM973vOvPs+rgesiFEnhPatuxPZdfufIfTQ8G9tzuD4NI5UGZyrg+SqCKyCoLg/MHUUWRL47d4jb2jfyG8Ovxw5cHpk/TrUmEFNkZDlLvemyVIpTqXYgIfCGnm2XyjKWV6PmLhPVkjT8JQxJQRENSn4DQRCwPZfRyiL3Tx0jbYQp5WSem4mgyWvY2dGDwCwpI0TJbmC5Ls/PzODg4DQtvl8b5Y6hNaRDISLqlaWL5Uadw/lDhPVFSnUJ1z+Ma7cxW4mjaQ6bowsEtWO06w4eEmN2GU9oRfZ76EyGWK23Uq17tIYjhFWFoumR+pGenJHcMp8/fJCIqjGSz5PUDe7ZsBHXd7GEJps6WmnVY5TyZdzAw/HslZVgsPLcDy8ep+aYHFo+zt9WI+CE6I+0M10u865NP72sEJcMWtQoy1YFn4ChSBvPZUcoWw18aaV8GVdCBE6A6ToAl/zSmvbKpGm5LpbroYVfPHFmwmFmysUVTy1fpl622dbVSVLXmatUSIZDbOnvZL2Xoek45K06N9/UxZpkKyeKU1TjDsG8TsqPs2td7yX22taNCcLtnRiuwKnSKPq8RixiIKsijYqFL/tM2WXcmk1IWBHcnV4u0ZaO4rkeE8fmqRTqyAmVfLTJMk0ERQBFQNFFMn6I1pYwZxbmyVTC2IJHIV7Eymr8zcGDuAS8c+Nm2iJJru3czfMzM7SEQ+zqXpm0giCg0rDQVRlNkckYcX5+1R7mmwU6jRQBAVWnSVwI87fHDhPSFBqOQ7HeJGbohBSViVKR+UaN9928A+sZj5FSjv6eFPes20BM1+lPJlhu1Cg0m9yxajW7XkIkeKAjzQdu38Xn9u6nhEVE98madURBIBUKYagyRdvEVSEl6SQEg51dnTy+d4SQLFMrOoyMLPKobtAbTbCpo52h1EpyV7Ntfv+JRzm3uIwfBGwOtaKWRMacZR47fJ4gCEhEdZaLDc4v5nFwmAnXESowUsjxznu/wvpEG6/bvobcwSxyE6xyk2y/wdfyxymETRRHoOm4PHJilOv7+rEc96e+0/8emG4cQZOil7YqXvg63TjyigSuSqXC7t27+aM/+iNM0+S9730vAwMDXHfddf+q87wauH4ETdem4pp06gnqnsV5uxfND8hIFkvUsH2PPenVjDWW6A2nqdhNxmpL/PzgjVScJkEQkDRURHkclzKr2zxC5STLhRj3bF7Lsco4zyyO0K10sruzC02M0J2o0B+WGW9AzAjYFOqm6jQxXZdQLcx8pcY5MUuuKjOYSJNr1JkuVUiHwsxWynRHkqxLRdm3OLVCsfclmmKDtqTM3as2vShjVSUJRRAxvQBHqGJILusiFuVCnTZVZGt8nllLpkUK8D0Dx99GQBN0ia3Jdt7Rv4uEGuL+c2d5ZnqS63v6uGPoSj+hkmkSAAldp+HYFMzGiq7lyMOcLE0jixIfGrqNdlpYVWtnpLpETI7xS2+4hql6jrpj0RNSOF/JUWq6RJU6kw2Xlkr0kg/ZkYV5vnj0MJbn8gtbtnPtDxkmSpLEn21/F/8ytR8/8DhTnmW2UcDyXQzJZUjvQbQ0VqVTlwwvX4ChKvzytVfzD4eO0hGN8qHrrn7Re6LpAkKkhmwGqLKPWg8zUcgzI0ns6e2nJRQiJMs8OD5OvtlgMJkkqUdZaJbI6HE+vPtqYkIIz/eJGJcTC8t3EM5XmPrBLEWrweTuKr2b+xha24q7bHN6IUdS0GkmRZoVm0rDJB7ROWgu8MD+M/TVdHas6+Wx0VFyIZe4oSNFZD5y/TXMFiscODaFH6ysiH05wAwc3CboyMQ0jbF8/tK9XNvTxzXdvYgXS8u+H/D40fOMzObQFZk3XbuB1kSEzlCSztCVPVm+H7C9p5PKhMmkb9MeDlNxbWr2imtAJhSmPRrl42+9HcfzCC6+lwDv37qDu4bX0xGJEtN+/H7RrVvXsG5VO185eYJ8o8FspcS5fI6ErnPX2vVM5IuUSg3KVRMMAWSw8BGCAM8NCGyXbLHKZ/fu409f/zoiho4oCsxXKxSbTaKiiicGLFl13JyHIglYjovrB1jFOqIEZcekLrj4AUgu+D7M1ivIVRGnYJERDGaUOoHjk7ZV5usNvMDDd0G0INeosa8xyT03bMJ23f9wDcO6myciX6l6o4pham7uFTn/tm3b2LZtpW81FApxzz338PTTT78auP4/9t4zQK7rPNN8bq6cO+eEBhqNDBBgJpiTKFISFS2TMuVxXmltj621NdZIXlvOmrU1nrU9liVR8shDWhSVaDGAmQQJEBnd6IDOobqqunK8cX4UBLAJMNNRfH8Bt7rOPfdU1fnOl9737SKoetgZ7uVg+jQCAje1bmU0nSBRLhCwNTbHWvml9Xv5i/GHmC0mQYDrW+os2wHFzZ6GdTzjnMBbE1jNtZC3C/SHVHxOmBF9AmPBoWI49HmqLOeKfHzrtejuZX73Yi+LpbqIZbe3GbA5NDPHt/L7MVw6et7BMWGqGCerV1G9Iba1N5EoitzUuYmdTe28cDrJseQSILCuIcJzS7P0+1u5pL1rTZl7yOXmPb1X8sjSCoJwDIUQMdXgss4887lmTAkiio3LEZmoaQgy7Io0YTpNXNm0kZBa967es34D71m/4YLruKmxif5wlKnMKj5N44a+ARYrGY7n5mh1h8kaFR5aOsyO6kYuCvdybfsQ8XSRDm8AU3Kj26tM5JexMVFUL/GChWWnafElMB0Lx4I/e/4ZZrJZstUqh5aX+P1rrufqnj4WClncskyzN8yvrL+RE5k5juXmafNEkEWZTaEOPtl/LRXDwK9pZzfml+Pivi4u7uu6wJPVMZaO0+r3k0anQpVowMOutk5Kus6mM+KW2VKVuVQGC4djpThXdl8w/hMAACAASURBVHZy7VAPEdVHzHVh5phLYuv446efQo25aLeaWDw2S+e2VnLFCrMTKbxuhVWrgnKmlLvLFSRllbFw6G+OsRxP4nbLSA0qalggEvLiAB3BMFd09WKULMZmE1zdOUj/UIDjp+PsG19EjEmIisjVvWtL3l++NtlihVPzSVoifhKZIl999AC9nTE2dTfjdam0+gNnv2eiKHDDrkF2rGtHU2TmSzkeGD2J48AHNg7T/DJKKOUVB6sGr/dsVd9r4cnZab52+DAhl4t2fwCrZrFjfSvvGRoiorr49lPHSZTKIDqYeYuThxdBFHAkB1ECLaiSWi6yVMzx2cQ/EfK7+U837yHqdiOb9bYKw7Ho9jTREvUyuZiqK1Zj4TgOLrfG8LoW5gs50oUkjgCOCCISxWyF2YyOJ22xuS/GtCtNqWriEmWcgoCuGwhWnTmnYhj81iOP4AqpfHLbTq7tO7/t4F8KXjmKbpfOeloAul3CK781NelX4uDBgxiGwcUX16V6HMd5S7mudw3XBfBzA9dyXWkzbkmlzRPhZHCew/55GtQAV7WuR5NlfmPoPRzJzBBQPGwMnYtNb4/0sCXUyXhe459mnkOtiKxmm8gZZVZXDGo6oOoMB+skt5al0uqrVzBJQpmvHnuRP4s/hyZL7Ig20ZiPcbSYxKjadHT6WTAKhDwSFS3N84kiLknlGxPP0+67mf/v+tv4m5FnmMonSRcMPI7CvulpEsUSUY+Hbc2tpIwszycn8CtuPjn0i8wXTnHv9ENMGkVCos1NLSUqVgdJQ6dYFfG6t6KIbhQxil920ep+fbYDAI+q8v9efS1Lhbpn6FNV8noZTVSIV3Is5nLkdYOImiJTK2MLDpoisVDI89TSMSJmnlgogCTOsiDbFH0RVLsTQyoTr+QIK36Kuk5Z1/EqCg4OPxgfYyKb4Nnl0wiCwN2bt3NdR10sNKb5WSqnEQSBixsGUSXpgrmTV8KybQq1GiG3m5nCAU4XnyWidjIQ3Irf7cKjKWD76Xe10x2OUDaMs6HHfLYMNnhUhZpu8vzMIj+7a89acUPHJl7JIgkiWBJHlpI09HXRnIdVrcTKOp3vJp9FtRXCnkYGnBCjepqIz0WfP8zW9jYeGZ/AFC20Rjdyq4ucUaOlL4JuFImXiuxoaWNTYxOKJPHpay8767EC3NYPn9qrcyIRp9HrPdsOAbBSLHIovkhIc7OjtQ1NlRFEgSdPz3B8aglJFnHPzLD6ZIWWzhA39Q/wye3negElUTwbfg353GcN+ltFPJ9nKVugryGCbln8zr7HMG2TimHSKvu4ItjJyHycpVSekm2wVC5A2UKwQCqC43ZwKxK6ZREKecmsVqmpBqopMrGYwsFhejlNS9iPlHbo9Prw+11c0t1F2O1ClUWWM3mimgefpuIPuEhlS8iOiM+tUsVEsGxQLBxJxqNq+B2o6Rb3fPwKHjg8SjyTR8+WkO067Zus1kmluyMeNFXmK0cPcnVPz3nE5P9S6PRsZyT3EFD3tHS7RM0q0Oe77B0Zv1Ao8Od//ud861vfwjAMHnjgAT7/+c+/6XHeNVwXgCiKawQmN4Y61hgnALescXHDhXtbJFFiXfBqFoJBDpUTeHwBCuYiZUAUyqSLAivFApaS5PdHJ+n2NbC3cSMPL4zw7MIiFaqEbD+Pr45RtEWWdR2/x8VIOonSnMKSIV216JBacUsa87ksf3/8CD+74yI+sXE3/2P0CTLVBJujfRxeTFDUdYKaxtePHaIiF9jd0UJBrbB/dYKt4T5afJvJZE0mEnEWBIcO705E2UdTwMfPDO8mUc2xUl1FEpIcSj/OI8spXJKPT/RddbbowzyzwXtVFVWSyNbKODh0BkNnN7J4oYyn2MCzqRH0jEkym2VWPcDwhih4anxgYA/fnxlDFB3yJY0Wj0xHNIhshTlRbmE5ryM5Dl956Qi39K/njsENfOmF5yibBg0eDzGPlwMrszT6vFR1ix9MnWRv23o8sovf3ngH44VlGrQAXb61ity241Az69VkL/dMV4pFfvepfcSLRfqjHjZ1P45b0UhUJ9gc9vCrwzcwXVhlS0Mbq6UqT8xOoYoyN58Jm94yMMhjU1PUTAuPI9MdCZ/HrP94/ARj+SVKhsF8QqfL1QSbG8gsFCn7azQ2hwm5fCwWUiitNZSch4jp5oZNg5ycWiZTqfDJqy7igblR4qUid968g+v6Bvj6sSNc5OlhMZ/n6p6eNcbylXPwqSp72s9vur1v5ERdYsYw6urcXT24G1WOji9TNGuYioOm68iOSNil8cjUJB8a3sR8JclzqTGCipcbWrYQVN9aM/LLMZFI8gcPPkGprONzq/zU1TsoUQTZwjIl5st50oEqNcfixFKcuFDGi4yuOnjSAtgC5YqBLIm4NZUNDQ0kpBKDbQ28eGqOim4gqyKzmQyFWo2+piiT1TTLCwXypSrt/iAfumQL1+9Yz9PHp3D5FLYMtrKULiCI4PWqfPno4why/dASnfbhi0u4gzLh/giSX2YxlSNdKGNZNn6PRizgRZZFaJEwBRvHNNBE+V/NaAGEtXaGgjcxVz5E0UzhlaP0+S57x6oK9+7dy9GjR7n99tuxbZuPfvSjZ0OHbwbvGq5/BhxPrDC5ukpPuJOLOkPMl5YoCVkWchWCniiqWmSWGUqVKqqhMlVIcCwzR82wsWwVx4GEnqfBJSPKMpJq4HOpLBZLRG0Z0RTRrRLzLLGYSxOutVDSDf7qpRcJBC38qkzYp3IsN42Ij75whIenxpksxBEkm8VCjjs3D6LbJlXTZGI1zVSqSJPLR6e3iXLVQbRsgqIXAWj1hMnqB0jVZtkXP4aIn8VKN393+gl+Z/P7qZkm94+cZKmQRxQEfG6B5zNjqLLEHb1bual9C8lSid967GESpRJly0FacSEGbco1nZgQItSkInkcLMeh0d1Es6eHsjlFk3sdN7b8FA/NTLGvOo1f9nAsvsLp1TQ+RaU3FGI6kwUEIi43y7rCarmCbTu0RSJ1TwYIqB52Rs+FYEYSKwiCQHcoxHfGRlnM52kPBLlj/dBZ2Y4fnZ5guVikIxDgZGKZQEBle1sYyzEoGqvsbmpjS1Od3bwnCMONjYiCiCpJTCRS3H/oJG2OD9Etsa2njU9ctOMsfROAYZuMF+IEJC9HF6eZyWepFEXagh4mW3P4QhapchFLKCHIZdpabZpi7YRNPz6vRmd3lNs2bqRkGHTkQuxua+f2DUO4ZIVLOzo5sLjAYCzGtubzhSRfDxXToGqatPr9yGKV+VyOl5YWideKEBXxKW5yq5V6fiokcGo1hUuSyVRKPJUYJar5yOolXkhNcn3r5te/4etg/+Q8pVINo2Izm8rwvw48hxIuUNFtRJdEc6mFkZkE+VyFbEDH9AmEPBKaodDl9pNKlDBMG1WWiHjdOAasb2/A61Lpa41yaHaRjF1DEKBq2XhzKnGxhOQWKLttUnqZZK7EDTsHEQMSD5+e4NG5KXTL4qqubkTZIRKVCCthckaZ4T1NlA+anBYLELTIlKtUdANBFJAFEdOy+PUPXsVgRwMrlRJ/efAFbMfm53Zc9LbX6u0irLW/Y4bqQvj0pz/Npz/96bc1xruG6x3GfC7HQxNj+DUXB5MzuIM6qvwsgjuHUwywaGWRVX9dI8ixMQ29/ik4AkXdwJB1HEOmM+yju8FPWZPJlJewbJuucIiljE616mDZflpDLgxXARmRJ2enyes1LMeiO+Tl5qFuTNXiksAwj89OM5NfBclBcESShQqPT8xzfXuYR6ceIVktU7CLuE2Fag0OLi3R5PMxmkri0zRuWTdIwUzglsJUbReaWCBdy2PZNqZtsZDPsVjIkSqXOZVKsapn2dAeRLYl9i2OckXzeg4sLbBSKqJJcj0xLdpYuoOChOCpsaqPcyCzylDjEKOJAp2+jXxg6ENnGcSv73SzlKlxMrGCKkrkajVOp9PULBNVlvCpKi8mZhhoCJIoiwxEw3xw3Q7my6s8sXKSkOLlxratqKLM5594jIemTuF4SvREgnSpLWyNdTOXyzGdzbA+VvfIvIqCbdc9DkV0E3M3ktPnUUU3/f7zk8mulylXf/2ZQ1SqOutaG0jmS3zqskuI+OrPYjk2TydGGc8vk6kVWTELzOWzFHJw0lxhoSYQa7ARUAnKCi6xyHCoiV1RP16pxlK6n6l0hp2trXgUld9+7BEsx0G3TAzb5uNbtnFpRxeXdrx6ju71ENRcrI/FOJVK4TgOmVKFg7OLzJeyGJaN46mzXfRHo4zl0piWjarJfPXoYRpbBBwHTk2k+MeXxvlfrhG+cNeNdDReWHXhjaAzEqRU1jENB02VyEgF+iMR0iUDXaiyMRqjZJuUFRO/CVXRoSJa9DZGGBYbmSJJZ2OYuUQWTZHob49x/Y519Lc2YDs2d3797xHiRTxulZxToyMaoiw5VEo6qVIJt0dkU089CjOVSeNXNY4nVpjP5Ti2EqcrHMTlUpEVhza3j2t613NfZYLMSpasmaaSNfC6NGq6iSzJhHwuwn43YZ+HsM/Dn99061tem59EvGu43mEUjXpZd8jlYrqko9oWspDHFl20N+nYZZtExUXRrGHbNoooYpggWyphWaGnqQnR0Lh7yy5OFebIhktc3T6IW3TRHYpwz/fvI0kBUbRI5KsoFhQ9WdJVUAUJ0RaZShd4fnqae7Zfzs62diqWyXfGTpIvVxFFkF0O/d5WlnNF5qppBoKNBBUfRaNKVyDMaCpFo9fHkpVnIV8nfm1zb2a29CK9XpVnkza2U9e5mi4l8CpeqqbJQj6HT1UpOwrxQpmGgEJMCqGKEqoo0eT1sVopo+GnoVMmaHq4al032dDTTBSKTBfTRNR5/suOX8GnuM7KqkA9YX9D3wCr5TLxUpGSruNXVexa3UsrWEUyJZ2yU0UUBK7r2IBX0fj9I9/m1FKOZNbgb7xH+O9Xv48fTU3iDdiYgsRMOo/SINGj14U9X573unlgkNlcjvHVJB8Y2sSdG+4kb8bxSlFc8vlcgj/G/vk5TuRXSOolxLyDZIoU9SoR6oZrvpTieHaeFleIolnFbbtIp5fxii5Kto6sgkeT6/Rjipuf7m3EoYbllIi6+tmx7lxBzMlEAt2yaAsESJXLzOayb+v7azk2M8UEum1ydW8vu9s6WC2W+Nx3HmGimKZmW8geiUt723H7TWJejdlTDkOhdiqmyVKhyJ1bdvLIzHH2PxFHsRTGzSSf/buH+NpvfuQtz+uKwV6mdqd5/MgkHdEgpq9MXIoTDShogoerowN8beEoHr9KrWxxUWMTva0x7tm8g0yhwtxKhpPzcQzNxsJBViXcqnqGfV5kW3cb+8wpirZJixrgZ2/aw33jJzAtm3SpTGvAz/emx2hd9dMVDHEykahzeUoCYc2NS1JolNvY1d5ImzfEUKidL6b30x0OYzsOq5Uyn/nwVfzl957DceCyjT10Nr6xfPG7OB/vGq63gWcTY/xo6Qjtnih39V6BJqt0BUM0eLws5fN0+RqQvRWyRjuaNIMANLp6SddEwkIARXSx0duFFx/9TQGOLq/gtYL4XCqNbh+d/rX9SlXTpDsQpWrYZM0CgmyjOhqOYuDWVCxdQBAEgpKbIbubLrWJpXKGb08epj3kp6TXqFkWVGTi+QqDUR9NSoQT6UVqlsW1LRv56OYtnEiusJDLoikye7t766rHVhuW5UIUvCiSiCZp5I0yq5UCPrcPWRTJ12r0hMM0eT2UhRI9oQAfW3cRiiizraW13thZKtIbCnP3tnrYzHEcfvfYo8iCj4AqkqoWSOkFgtr5eZHNTc1sbGjkdCbNc/NzvLgwz0KhgGVbhFWIl22iXhe6ajG6usKW1kZWCmVyOfBqMulymf89cpKQ6iJjlLAlg4DqpjsUQhFFrurspudlUhtuReFXL17rWUWl1/ZictUqz8zPckl/J3936CWcmoPiEfjUo9/nw0PbuG1wPQ51uRtBgGQlz0oxjiBamLZF1TRZTDis5Cu0tMDe1vVsiVzGSmUMRfTQ7F5LfdUTDtMVDjGdySCLIjf0vTZHnm07WI59XiXfVCbNRDrFsfwky7UU7YEIPb5Gbu/YRSZbpmTo6LaFbAs4js2R+BK3t/QwEI1xMrzKTLZe+PL+dcMcX0ij5cNQk/B4FGqCRbpwvubcK6HbJrIgIp4J7y7kc2iSRIPXhyAIfOKaXVy1sY9ssUJ3c4QnE6cYTycZDreRKels6GjErFgk9RK3b97IpV3deBSFkNdNT3OErFbj5IEkk2MJjtTmefaFCX7vZ2+luz3Kr156Kf2RKPlKjdsGB2mPhLjO7OepuRlCbhfZapWoLDGaTBJ1e/jEtu08eGqUU6kky8UirWIQzVQ48EScQ2KS4LV+drW28fzCfJ3vsaubyzf1sXt9F8WKjt+rnfcZvIs3jncN11vEYmmVPx39HqZtcSB9Gt02+OX1N+FRFD62aQv5Wg2/pmE5Fll9B2VzlsOZRVaqMm4xg2q7mFwp4hf8vG9wmMFYA1sjKbLVKmGXi2+OvMTp6jwBt8KuWB8ZvcjB9BT9nT7Crg6Ori5iSGUGGgMsWEm2rPMynypTWZXZ5m6hO9xAJOjify88jyDZ2IKOIIgEFJWI232mbLuJS5UO/ufxF5nP5/jh6ix93gneu34d+xfGuKK7je5QkPtHTjCemSOrr6IE/ThOkalSHEVwcd/cfrqsPgKqRnvETaKa5r3rh7hzYPuaH2bU4+Hnd15EydAJaue8KUEQWBfcylTpJbI6RNR2/IrrVdddEkXWRWOsi8b40MZhKqaJXjL49gMv8C37FE/PLhLxuvnowEU0u0O0e8KMO0sIloBf8qHJMn943Q186cWnyYtZLuls5/LGQfbPxHluYY6OYJC2l0movFmIQv3wUMNGcYuEXBqFmk7RrDCbyzCSSrKlqYmhYDsvpaeYKCzTqAWpYVI2S1RNkG0Bj6Dgr9XFNiXBS7fvwrkPj6LwX6+4mon0Kg1e7xottVciW6zwvf0jnJhewufSuOPyzQx3N3MiscIfP/s0M8UEeStPU1gkW6iidirUbJOwz82WaDNLy0WqoomIRNTj5chCkoBbZltHjOOeJcpmjb8cfZxiTsaxwRsWyWWqSKLEh/dufdV5PTk9xTdPvUTGztAXC/ML6/fy6OkZHpqcQBQEPrl9B9efMcg9zXVKr8VCnonlIrmqwN9MHqHR66ViGgw3NtMo+wm73aTLJfYtLSPLEtf39VM2TAq5KpLu4BRNctUyDz54kF/45DWookwlW2MhkWE0kKQ9EmJHaxvbW1pJlkt87ehhVKkuWqlbNp3BED+/8yIW83nm83kUSeQb3zuAXrWwHYf//t1n+b2fuZlLFuYB2H1GzkVVZCL/Rqid/j3j3RV8i1isZKhZJg2uAKuVHKeLK2dfUySJ6FkmCQm3rAJh+gL1H29OL5Os5QkOeQhrvrMJ+/WxBsqGwf/91D8wUjuN6VhokszjiZOUzRrNrhCqtMr71l/Ef264lL8cf4SFSpIuMcJ1TRvJtVRo0SLsCvQT8rop2zV0x2RXRwsuRUQWFDo9MbyqxsbGRm5dt54DiwvMpYtYjkC+VuXzT+5DwESSHJ5ZPM2nLsqxkFdo9wdIpyBTqaELIkHFQ8wVJWuU8OpFxmpTLOppFFFhpORmvtRFb2Atx6Amy2cLH34M3Ta5uulaomo7qVqZXZFBXGKFqimtCcetFIssFwv1Hp8zjdceRannGlaWGK1lyTsOgiORL5vMZfP8YHycvZHtxNY1cGgxQX+ogY9s2oIsCvzS7otYqCXZEGjlb188xulMGlGoFxl89vKraPL6zs51MZ/nZHKF7lCYddG1zZmvhF/TzlQTTtLkc1Mwa1jY9ISiOIAsCMiixNXNw7R7IpzKLqJXlHqYVwXBEhEkG8OyqRoWIcWLLKytMhtfTXFsJU6bP8BFbe34NI1tLa9fgHFocpHRmRVOzqxg2Q6Ty6t84a4bOZ6MU7NMZNFG0hUsxyahZ4lJw2iijCuo8HNX76FnNMJDC5MEfS52t3cwnU8xEGhjND+PooHP8VDQE9iCg2EIiI0K1wz38KnLLqGneW0f0I9L8g8sLvBHzz/NQjmNaTlMpjO8MLOMywwyEIlSMQ3+4eRxehv92DqEJB/RgIdcta73VTJ0MtUKsiRiWTYbGmKMpVI8PjPF918coZjTERWBh7dN8OuXX87h8QXmx1Kokkgk4MXliFQqOg+PT7Dv+GmCXjdff+IlemIR+pvqvJ4NHi87W9o4tLxEzOth+5m1ViSJ9mAAW9FxHKhUDCI+D7Zjky/VkEWRSzvfep7xXbw63jVcbxHDwXYiipfx/BIWNlpRJaeXCKrnGicrps7TiVGO5eYQbQFVlgkobswzopMbg+1c37o2HDiZi3PanEMQwcGmQpWqIeDgsFzJ4JE1nlo8zaHJPJoc5ZfXXczB4ikKVpWypRN1+2gI1jf8gONmONjBydwCvY0B7tl4KbPpApIgsqutXjW0sbEJVZJIlmp4FJVkqYgoQkCWSBYcFkuLOHRxPF7geEJDkWuIbjc64PHrtEfCbIiGeGY8D7aIqVQ5nJrlu84ov7gtejZn5DgO+xfmeXFpgYhX473rhijUavz5yUepWFU2xJr5WPclHM1+k0OZ44iCwsbgjUS0Tk4sC/zdkaPolklvKEKz349hWViOg+04CA6My3kM3SYiutEVh4enxrmss4eKabA+0sqetm5GEikeGD3JVDHJ86XDiJKDX1MxUw04tojjWMzns/zDiWPEvF4+MryZTKXK//PYj+oCmaLAf7l87+v2I62PNbA+1sAdG4Z4dO4U6VINBYXecIQNDeeMeY+vkRa5kWcWFvB7JIyyiuGq4Ag2miRzQ18/t7bvOBs6g7py93fHTmFj8q3T+2mZ9BJzB0gUywwEG4hp9VD1Vd095x0SVFlitVhCADzuOpfeYirHhlgjDzijOJYMTg2PrTEgNXFrx/azpfOdTWE+2bSb9xQ38sCpEUqGwUc3bmdzUzNZvcBL1hSI9fCnWbQRDAm7YOB0CbQ1nCvKWMjn+O7YKLYDt64bZKGQp1jRcRybmm4hKlA0HHJGgbBLQ7dsJNXi/lMHGD+RpcvbwPbOTi7f0nNWuLSqWziyjcctk6/U0HWLgKSRzVTxeRUkU2T/+CytN9/CF++4kafax3n68TFiXjfdPY34A24y5QqKJBH0aBTLVQq1c0KYgiCwt6eXy7u6kc541AurWf72gWeZWF0ksFGlvyfGhp1BTr6YRUDgw3vfHNv5u3hzeNuGa2RkhA9+8IOcOHECAF3X+e3f/m1OnDiBy+XiT/7kT+j7V+wE/+eCR3FxRcsGFqfTRFQfZavGQ4tH+HDPuZzIgfRpDqdnmC0lKFs6tuPQ7o1wJD1LqzvC04kR9q2cYG/jMEE7zEupWVZJgeBgmwK2YNc3A8ABDCwUVE7M5vA6dULSyfQqv3HFJcxVV9ig+dge6T57f0EQuKJxA9sjPaiijCYpa/So6s+h8Ikt2/iLA/sxbAu3LGPYJiXdIuASuKh1kMmkl6dnZzF1Ccph1GWQ3RXkspcPrbsczS/QknCzXMpRc0wiqo9ixSBbqdB4RuZkqVjgh5OnOJFZomoYzJSXUHGTqObxix4OryywIzLCUuUYAbmZlD7Nocz9tGg7eHBCQRYD+DUvy8UCOb3KFV09LBUKjCYSXNPXx+Xre/nu+CkM0cElKXQGQoRcLjKZMl8Ze5oKFZp9PsyiC0EzQbSRHQ3DtsiZeQolC4QaXkWgYqdIFCFRKnE6vUrZMM9qlh1aXnrDjbSt/iA/vfF8uqgfQxFl7mjfjVQO0BOOcGhlnqpUREYh4JW5qXeIgLJWh6xiGDiOw+HCFDm7QL5Q4ODqHJv8Xdw3MsI1XQMsFfJosnwem/uOde2MzSf4xuohslIJVZJJCxUuae7mty6/kiPLS9iGTps3yEWd3fi080O2TT4fP7djFw7nWDVuadtOVi8xWUzQrTjMlirYkoNXlwmaKsrLimx+MDGGIsmIgsD3x8e4prMHwQTZUUGoYNYkFFUj5FaJuX14XQqRmEFlUcCtKlgukyenp6h5bG5dt56o7WLixTgpO4c7pvFUYYrVbAmvS0URRCq6iWgJdPjruUtJFNm7ez3bBzupVHQaGgKIosD1w4Mcnl5icTXPurYYQy3nC1j+ODJSMQz+5N6HmRpPUnUXKeVddDc0EG5V+LOfvw2AsO/t9669i1fH2zJclUqFL3zhCxiGcfbavffei9vt5qGHHuLAgQN85jOf4b777nvbE/23iLDiQ5UUVEmmaNVQpbXLWTV1ZFFCFupeh+04LFeyGLYJOGT0MtPFJNPZJwnqjTiuKrppo0giNhYRJYRpCOjUqNo6CgrbA/0cSKYp6HW5ldVymfl0iZsHtl9ghnXj5X/F5vdyPDkzzT+eGqHR48W0bWIeL3m9SsWs8uk929gU3c7Yykm6Q2HmzCyr5SJ6oEDYrSEFbPbNjHD3lstpdgVJVHIIlsByLc1K4TiHH5/h1ratfGL7Tmqmyb7pafJGBcEROKal6I9FUCURW7DQDYuQFkYsy1TtPDWrSMzVS1hrRlXmsct+kqUiQc1FeyDIYj5HzbLoCAaYz2VRFZnPXHYlz8zP0OTx0eDxMpVJczy1jC8o4pQ1chUdnyqBrmDJoAt1pWSf5mJn6wrTKZGFnMKzc3N0+MGvqvSGI8iiyHwuh43DhtirS6y8FayPNXI8kSBVKtPuD3J4NYeIQ7pcJVep0fEK5qMWv5/uUJh9qRJuSUORBfJ6Fe3Md08RBdyKQknXz7uXW1W456bd/DAzia9iIkgC3zh5lFuHNrC1uYWtzS1vaM7CGY21H8Mlq9wzcA0AP2CEvzj9HJoiIYoC1/X1r2l4ls4IqDqCgCQI9EWjvLdlkIxRZTSTYNrI0ez1E3G7mcll0EoiNtw/OgAAIABJREFUfR4VSRXJlavM5iuUbBNpRSall1k6laYrEmJRKrJcKuLLqvj9LqKSm3v27GT/whxer4vP3rx3zTMEQx6CoXPGpTsW5s8+divpUpXmgA9JevUm4KKuU8xVcXlVcLmolmqkjQK7fF3vGqx/Ibwtw/UHf/AH3H333Rw+fPjstSeeeIJPfepTAOzatYtMJsPS0hKtredi8Pl8nnw+v2aseDz+dqbyr4Lb2rdzLDPLaH6RPdF+bm1b2wG+PdrLQiVNvKoQlWTmyyl0w8ABlisZBCCsWiSMKkuVFD5JxjIFop4AG5ta8MtukknIOFlMxyYke7m0tRe5kuTRqdNoyKyLxdY0tb5ZPDs/g0tWaAiGmM9n+ejmzXgUle5Q+GyivyPiRVpyUF0iYb8bXaoQVX0YZYuR2jJ///hhjCgMBltJVgqsVPJg2tS0Ct+ZPMnm5hamsxlKuo5lgyw5rBZr/MrOYR6bHidvFflwzxbWBfrwSHczmnsE3fAhWiFK1gp3Dq1nMhGlaBhc2dlNa8DP+OoqPlWlPRBkPp/Dqyj86fPPsJDL8eLSImGXm4vbO9ja2MKsNU9NtSgaOtuCPVzaOMBIoYWckGVnrIeR2RJTpTiINQZiKjGPiwYtgEtWCLs9/NerruZIfJm+cORsiPWdgldV+fjmrZQNg5VikdSRMofiiyTyFX7toR/xG5fUWxqCrrr3I4si7x/aiOqy+MfZg1i2Tac3RrJSYqghhiIqSILIRWfmadoWpwtxTMemz9+ES1IRRYGMXsEG3LUaK9kCL4zPkdTLKD6ZFxcX0GSJDw1vZntL65v6ft2ybQinBsemltjc28rlw71rXx8Y5AcTY9g43Da4AVmWeO/ujTx2cpIkZTyii7JpMJPL0h4I4FVUJucL/OfL9vCd8hjJ+AqdkRCJUomAphEJengxsUhVMBFkgUy1itut4tYUbtg6yC/cdMkbnrtbVWl7A5I5YbebzTs62f/EBKxKbN7Sx8c37GYw/MYM/0869u3bx5e//GXK5TKXXXYZn/3sZ9/0GG/ZcD322GNUq1VuvPHGNdcTiQQNDecodRoaGojH42sM19e+9jW+/OUvv9Vb/5uBKql8YeuHXvX1mObnrt4rMW2LpUqGL574DmWziirKhBUvMc1kpZqnYBgUzCrFsgvJkWj1uHFJKooo85GNmzkwv4QgCNzQN0CD18veZpNtza2MJBM0en3samt7y88w1NDEi0uLVHMmHkVhZ0v7WYmSfK3KidVlnsucpKNVpq05zM+su5wDiSn2L08ytbTKNl8PzbKf2axGNlZGU2TchkZNrLN920hUTZPZbIaOQJDlUpGiUSOs+FjI5PnUzovwyH5cyhm9Lu8WHh43+eHEGDYGP71lkNvW7WJ389rS4Z2t5555Q6wBw7JYyufrMi+1GlXTRBREmr0BmgQPKSPHnrYuLmseQBYlrudc2fgNrTYvLbfywvIBFvIGAaWZnmDD2RzR+lgDA+EID8eP8eB8nOtb6zyWjuPw4tIC46tJNjU0s7WllZppYjsObkXhjUISRfxnWNBLNYvlXAVFlJjL5fjrQwc5nctw95btZ/OFoiDw3r4tXNnej2nbhDUPZdPAp2iUDaPO/n/mb59PjXMkM0OuWiNbNLg4vIHdsTa+EU9hWg62qfDZr/8TE3oaHYuiZhL2u6mZFsuFPD+3czdXXkBA8rVw654hbt0zdMHXWvx+Prm9rjNWqNX465de5Jm5WUzbxq9q7Glq56XFRUzRpHTmkOeWFMYSOTKCgewRSWVL1IoGnqzIZV1dtDUGyNSqyJJEoVRXd7h4Yweh4KtHGt4OZFHk52+6nOu2bsAtSXS3vHbBzr832MYMGM+BtQJSEyiXICrd78jY8/PzfO5zn+O+++4jGo1y11138eSTT3LllVe+qXFe13A99NBDfPGLX1xzrbe3l2KxyFe/+tU3dJNXcm/ddddd3HHHHWuuxeNxPvaxj72h8f49QRJEJElEEkQ8skqilsMlKXR4I7S4UyyUi9RcGcpuhdl0B7WijC2YNDa62BjrR1YcLu3qJKS6zxoUTZa5bXADNw8Mnk0WvxYOLy/xt4cP4pJlfmHnbvoi5yq8blu3nqCmsVgocGlH1xqjde/RI0wUljianqfR5WagxUNGL3J9+yZ2NvbwiDHBaqpCihK7Q4OEukRmS0kM0+aZmQUqBZGtja3saG0jUS5S0HUOLi3iUcLcMNDBgZUXCIUO0hfoY13gKgRBpKzrPDQxTos/QNU0+OF4nNsHX73fxbZtSoaOV9W4tLOLJ2ZmqBgGEbeLH4yPEnJ7+PDwZj6zdc+rjiGLIrvb+tnV2sdUJo1uWfSGw2uY0X/v5AM8n5oAHB5fOcF/23k3x5NL/PXYPkzB4J8SFjsWBplKFmjx+bhxYJAdb6DS7+XwaxoXt3XwwsJCvTHdsjAdm+lMmsVChp7Q2g0ypJ2LI/rV+hq9UmRztpQiJHsZzWQwRYOp7CpZs4bXkDF1G0uyOL4YJ9zpxeOoZPU6M4ZHURBE8W03NL8W6r14CwCI1Ks3j04tUbMtQqKGP+qiyevlY5u28vTcDLta26iUdBaTWfyWgm4ZzHtyXNHZwyl7lfHVFJf39pIql/gfp17i7yaP8uGNm3j/0DC6YTKbyKJIIp2NYUTx/N9MulymaOhE3Z7XFStVJYkN7efnwf69wzZmoHo/CAEQm8AuQvV+bD7wjhivRx55hJtvvpnm5nqe+Etf+hLaa0jXvBpe13DddNNN3HTTTWuu3XffffzVX/3VGkPz3ve+l29+85s0NjaSTCbp6qqXgSaTSRob1+YFAoEAgcCFZR3+oyKm+dkU6qRkVDEcm6Dqo9k9SEZ/nJqloUk2ipDF5w7RFdR4aWWStGByaGmRpWwZjxnip7du5ubeITSpfpq/UAhHtyxeWlqkoOtsb2kl4nLxpf3PIgoimWqFv3hxP//txlsAMG2deGWUDc0ae3vW9tnEi0UqpslUKk+iUGG1WGahkOHOnkkEoZmo5ue2HcMcmVrCsR0297YwW8iyUrZo93j48BWXosoS/jMJ/pv7B+kNRRiMxpjKZpjOzqPJDpoZYTE/Sbt3K145girL+FSVdKWEYdlnxf0uhOVylj8++Bgr+TID4SjX9fYzEI2ymM/z/fFxmt0BVF3gW/uPcEvfOv7x1Emem59jMBbjl3ftwfOKzUkUhFe939HMLBHVgyxITOSXKRlVxvLLVO0qebtEolji4Okciq0SVF3UJeqb33CYrWwYJEslbugb4Om5WQ4tLSKJAmWrzBOlcZ5+4Vm6vDH+/12fxH+B5uxXw4ZgG0/FRynaZTpdDXgkDckrUlNtqpKFKkr4PDLlkoEl2nX9LlGoU4wFgww3/vNszslSicemT7NYKFAxdZp9AUTDwaxZaIqIWbNpdvn53JVXc3QlztH4MtlaFaECyVKRuAglS6ffjuGTVX5maAf/cPI4QZeLp2an6QgGCaga/3DyBNf3DPD5r/4T86kcgx2N3LJ7iN0bzpEKL+RzfP7JxxhJpugMBrmyq4ePbtrymlpg/2FhPAdCAEE8sz8LARz7zPV3wHDNzs6iKAr33HMPyWSSvXv3viXewrcUKrzzzju58847z/5/cHCQBx98EIArr7ySBx98kJ07d3Lw4EE0TVsTJvxJhUfW+FDXJeyM9LFcSRN1BRjwB0FYYKqQp2oW0csevKJESdeRvBqyI7OcrSJpFnkjy1dO7sfSKtzevgtZPN8LWa5k+PrJAyxkyvT4YpzOrHLXlu3ULIuoW6NmCZSMc0n7Z5P/k3hlFIANgevYHLmNlWqO+VIKl6AhCrCQLSI6Ej5ZwqwIpKoLpMplApqGx6VyyVA3UPfq/ubwQVaKBVyywlQms4YwVJNltjS3sKmp3vA6njYYmVzle89MUBWSLO74Y27s+U80uHr4zcuu4O+PH8Uty/zMtp2vuqbfnTlCMl/B7YZHkoc5Xh3HNmT2+IcxTIPCcgkVERyB+w8c44fxSRq9Pp6bn6cvEuX9Gza+4c+v19/E8cwcggBtnghexUVPKIIgQrZcQa9KCA6IkkBe10lVyhfU+boQSrrOl/Y/y4nECi5Z4TOXXYlfVfnbwwc5VhklY5uojsZCeZV/nH+Bu/vPFRokS0UeOT2JJir0+8NYOHSEg0R9XkRRYHu4h2ZXiH5tkVPxDJIs0BDwEfS5EFarKJLEpsFWrunuoWybXLGxF4d6AULApdHq/+c5YMZLRaJuNzvb2jiyvEST38OyUETO1CiYIo4NK5Ui3x8b56mTkxRNHVt2mC5mkEWQLFiyilQsnbDPTUDU+MDQMPO5HP3hCEXDoHBG8uYLX/8Rjx+fQgBmVjI0BH1rDNd9IydYKhTxyDJLhQIzmQyLhTwBreHVH+A/KqyVuqf1cgg+sBLvzPCWxcGDB7n33nvxeDz84i/+Ig888ADve9/73tQ473gf18c//nF+53d+h1tuuQVVVfmjP/qjd/oW/27hU1xsiXSxhXNNiVc3fYAe71ECSiOunk4enTmMR/HQEW3jxdVpHMmgols4pkxTMECymqdoVgm9rF/MdiwWy+M8OH+Y+bxMwdQp2m5s3Ytl23xseAvfOH4UWRT55V318uyaWWKlcoqA3IxBjbHCfgxnmKcSI2BJGFhc3D3AvmWZpayAbji0BmD/tMwjo0/jkRXu2rqdrlC9R2exkMe0LBq9fqqmQbpSpmqa59HaiILA5qZmorLGyLEksvc0rnKEpXiVo8Fvc23rr7E+1sAX9l77uutZz6E5rFSzIAiEFB/z1SySarGzpZ2D8TlCATebos2k8mVAwCVLSEJdtuPN4HPD7+e+2f0Yjsn7OupruDXSxQf7LuIrY0+i2jbLJRPbBEUQuKq3naql45Ff/9Q+l8tybCVOo9dHqlzmwVMj/Noll9EbjnCiWv+JSpKI6dQr+H4M07b53BP7iBcKJFeLyFXQChKxkIf37Rrmtj3DyJJImydCW1+EG7otZFHkq0cO0d0QoRY0yVaq3LZriGv7+t/UerxdNHg8yJJE2OXi2r5+glGTzOwKkmHhKlh4zRCaS+bbB46TzZTRPTaSJGEJNmYYFEvEEqGgG9z/0nEePDzCr9xyKdf19bMuGuWvXjqAYVt8Yut2fv1LDyIKApIoYpgW+XJlzVxUUUIUwHLAsC1EUSB0gVaAnwhIZ8KDwssOLE4RpHemmjYWi3HxxRcTidQZUK655hqOHTv2r2O4xsbGzv5b0zT+8A//8J0Y9icCMVcfMde5Prd7ttRPgo7j0OFtYMDVwffHx8i78qxv8xNQ3HhfsRkeXv02I7knmC8WyZgNrBS7UFB4X38PPlXlxoF1XNHVjSgKjCQSPD49RV8kyHJVY8qcwSuL5PRmxvKHObC4QCGjYjomxxqW2NodIZCSUHC4ummA74wusFRaoSpUeT4xyZ9e9V6GGpsYijXy7PwcE6spvIrKcGMzvtfIE/hcbkJaM+myH8uWcLkMBPHNfR1v79lGulzhxZUKjlpDUEw0SaJYtQh7PfzURdtIZ+oceXs392HMOhyNx2kPhLjxDIVQulLm+YV5VFHi4o7OV52zT3XziYG1JdWyKHFb1zbChHhsdpwpciiSQGOjwJIT5/65DO/v3HPe5/VKhFxuEASKuo7t2PjUeuHHnUPDbG6O8sdj32VFz7Az2Mv7OnadfV+mUiZRKtHi9ZNMFCjZFn5JpWqanJxfYc/6Llqj5yigflzcsbO1jcVCntVyiUu6utjb03venP650ezz87FNW1gpFmn2+fnm7JNkyjo1C/DZ+G0XBV0nJrso+Wok7SouW8IlylQxMUUHrSbw3PwstirgcWS+9tJhPnfjNXSFwvz+NdefvddwTyuPH5nEsi1UReK6HevWzOUjw5tZLhaYWF1lU1MjH9+8nZaXKTT/REG5BKr318ODgq9utJw8KNe/7lvfCPbu3ctv/uZvks/n8Xq9PP3001xzzTVvepx3mTP+jUIQBLp8DXT5Gri1ZxMzpSQls0q3rxHlZRu8aevMVw6znFNI5hQ0LUNFjHJ5zzZu7B9g3/RpvnLkEKIgsKu1nYpZrzp7eG6EtqZLcctTHMmmsO0YtplkJllGEavIoshIvEowKLGhOULM5Wc5Z1B0yhiuIopsUZJt7h3fz+/G3kNPOMyv7rmUhXyOkNtNZyD4mkUjQa+LOy7dzr7RAjnpIP3tYXZEPnDBv/370QM8tTBFfyjKL2y9HK9SNwRh1cevbbse27Z5JH6MudIqO9b1EZVCBF0aPkUjkS2gKTLRgJfhrhaKun7WODmOw7dHR8jVStg25Go1PjD0xsOHP8blXT1c2tmNKAgcy8zybHKMZneIZ6enOHjsh+xs6uQju7aiyBcuMmnx+/mVXXv47tgpPJqPydoc/9fTp7m+dTO3Dwxzb+MvXfB9UbeHddEoo8kkFg4eS6SqG7j9Mi5ZwfUqlY2bm5pp8fmpWSYtPv8aFv63g6JZJVMrEda8+OTX91iafX6afXUDoZpeqnaN1rCXbBq2trTSFQzy6PhpzBL4BZXGoO//tHenAXKVZcL3/2epfenqqq6q3tfsnT1BEiAJAQITwiKLDoLiMi44yvj4iggqo/JA4MXMGBVFUUdGYQQZJCCEVUmAJGQl+57u9L7WvtfZng8NDTEBQghJh5zfp/TprlNX3+mqq859rvu6cWElXsxhlSRyokIsm4WcQdZiEFVz5FX1sA8fd//Lxfz08Zc50BXl0rMm8LFxh7Zh8jud3HHeguMyBqc60VKPztVvVBX2D11pWS48blWFU6ZM4Ytf/CLXXnstiqJw9tlnc9VVV73v85iJ6xQgCAIN7iNfqkuCjFcOkVK2YRcVYukS1IQTUZBY07+Hezesx2NxkFMVntizk09NnILDYuFAqg8BN0W1ifZegWxeQZPSGIJOXgXQcVpkenMxunNRppU2UtB1BFsOFAVJtyMbMgPFBEtfW43f4eDK8ROOqmfem2qCPj4bvBy4/B1/ZttgN08e2EnQ4WJtTxd1Jdv5xJgZh/yMKIpcVHnkJq5vv+IADnlT0w2DjtRBBLGPrG5gxJuA95+44K0uEn6bG83Q2dnfw4bWQWotQZ7ctRurXWJMnZcSi5NsFlriMUaV+ml+o/hhTl09c+rq+f9ff4b2eIYSm52/dm5kVkX9YZ/+NV0nX1Rx2ix8f865bOztxlAMBiMpdnUOEPa4OXdCE37vOxdxBF2ud/zeuznQP8img13UBEqZ1TQ0O/Doys38YeV6tJoMc6Y0UF7i5araWYd1/Xg3ZwSaeHFPOy6sWKwal40dx/SKSjKqQjScpaBptKfijPYEUOIKCaVAuqxIQiqgFnUEm0h9wIfrCMlaFEW+edW5x/T7no5ES/1xKcR4J1dffTVXX33kD6lHy0xcI0x/bh8d2deRBAs1zmn4bXXveuUiCCKzQ1/gmT2/ZHd3kr5kKZIg0JuLkBXSDBZS9KUzSAhgCHSnkjhkC+fXjkW1J3m5bZBoVMRmEUmlVHwBUHNWVFFB8qYZKAy1JlrfuxtXxoYTqLZ6kR0SgmiQSKnk5AxxpY0VHTEuGzUfUTh+2zUUNRXDALssI4sCeVU7bufWKRL09fNcT4KonkOS+ujbMMBtk6/EZ3Wzta+X3YMDNPhKmVFZdVTFFtXOAJdWzWBFy178eoKww0NHIc6K7l20WGz0JNPIGR+jfWH2DA7itdmpKSnhhfZd7I730pUbRDAEBF1EQ0P6h7LtdK7AE6t3EE/nqAuX8k9njGNObf3QN5uAD3ED3e5YksWP/52CqqHrBsqFs2gM+Ll32SqMEoViJsOajZ1cNG8UvbnY+0tcVdVcP2k6m7p7mDqmnDOraxAFgesnT+PJvbvIKyrXTp5CXlF4cP3r9CczyFaRCaEQXrsVh8XKJ5snH/JaUVQNWRLfc7mI6dRjJq4RJK+l2J9+hWRhgM7c62yNPcnk0suY6r+CR7Zv5el9e6n0ePjW7LMJut7qnO6QvFi1GfjkfspDMolCjqKhE3KUMKGyhLX7B7GIFqo8XmZV1zApFCbs9iAKAlrGztoDg1gkAStWHKJASaVORoVc0YpbkrFJGn3pDDlrEQwNZ8qHtdRKMmEQSSSJJGNMqYmBfScr+/LMC198SGPYD2JKsIqZFdVs6u2k0u1lYcP4937QURIFCcOqo0lFdMXAIkrsTvbw0J61TPeN5uW2ob2YDrRGiapJvE6Z0d4Kymzvfv+jzh3kE2NL2NWS5GA8js0mYyvJsz7SRbqgQH6AqaFq0sUCaaXIyo59/GbLOuyiTE7IEfBayGh5rqifQeiN/2dN01i+bg97OwcQRIO6kJ/W3gg90SQ1wWPfWfj96IjGKaoa1WU++mIpdvcOoGsGiqHhNqyoYpY0WQSEQ5pNHw1RELhy/ESuHD/xkONBl4t/eVtl6V1/e4mDXTGKaGRzCjMdlXx8wiTqS3zDhULxbI6H124mMpihsSzApbMm4HachqXtH2Fm4hpBdEPDwKArt5eevAOwoRh/x83ZPLpzO0GXm/3RKA9v38aNZ84+5LEXNjaxNzpIUdOYGCynwedhbf9eDuQ70EURWTHI5wv8tW0TO3JeFlRNYmJpNfVlHvwuJ4WiTthr5eaZ53AwEeX+9a+TKuSJOopUl4NbFnFm7OTUHIJTB10imdZx2yGTydMatTOqXGRrfCtVzumM8R6fJRCyKPHtmeeTU4o4LO/djuf9kAQLAcsEMrnVKKqBpkmoaYHNhQgdvSoZtUitz8f+eD8regYQ7SrZtgL/OuZCRnvfvb2P02bl/15yIV2JBF6nje9u/R90VafU7iChKuyN99HkDVFX4mNNdys2SaTc7aYjoXJNw5mcVTEK69vuZd75p7/z6rZWFFXFYbNwzfxpGAjYjmFvJ1XXeW7/XnpTaeY3NtBY+s5r5d5uVDiAy2GjczCOKAj0KWme296C5hNIxBWsiouLLxjH5dUzCduPfU8zGJrGfWjbZl5tb2Osv4wvTp/JigMtrDrQRm8hTV7QkKwCu5MRAjYHZW+sbUsV8nzrueXs7RjEZpXIaiqNbX7OHGduL/JRYiauEcQp+6hxTOXVvjVouopTstGfE8kpKgZgEUVEYahk9x/Na2ik1ldKLJ9jQjCEKMKqgV14Cy5SgobuUMkbOfqSMpmCzpaOldwz9zKavCEWTqpiIJWnqCo8vHsLB/qTFAoCDsFJOiMip72Mrc6wT0uTK4r47G4EUUMWBSRBJOh0U1EyiFOWyKjVpJTc4b/cB3S8k1aqUKA/maZSqKXB0kOP1Es6q+LBx9kVjai6wcbubrqSSSTZIC9kaY33UtRVbtzwe8ptXi6omMynG+e+43NYZIn6wFDZ74Xlk/nfjtewiRaCATdfGDuTGo8fqyQxzhfipbZ9dCTiBJwuppTVHpK0ADbt78ThkfGLdvoiaTAMzp86ipDPfaSnfld/2bWDP23bgixJrGxvZelFi4Y7prybgNvF7VdfyI6uPkrdDu5cs5IKjwffDBvZlMKPL7yIqrL3vvqL5XLsGhyg2uOl1vfWzycLeVpiMbw2G9Fsjsd37cRrs/GXPTt5seUAPekUiqKh2zQ0xcAu2Ihncyz+04vYVZmzJzYwY1oNA4kU1pRGQVRoIXLa7zT85t5npxLDMN71+2biGmFq3TMY7b2G1tQrWCUBmMDosiD/1DSaF1qGFtB+snnSER/bUFpKA29tPR+y+dieT6HoOpoq4nNKiIKBx24hni+ws3+A8eUBDvSm6UwkGUjnaSwtRdcEsmoBh2jFLtgY66rmbG8VUvYADr+VjkSKM8NhxICFtkiWSrcHu3eAnFbEbSmjyTOym412JhPc/8paWg5GcFsthAN+JpbXIgdESux2+jKZoXL05olMr6gkoWb40dY/Ypf6cckKvTkLPVmR3+xZSSKl8ZlxZw13Wdg9OMAv169FMzS+OO2M4WKVy2pm4LE46CskODs4hgb30OLWZ/ft5fdbNpJTdObWNfDlGR/D+w9riOL5HHpYpDMSR9JExoT9fPqCGYjiUKf11liUvkyaupJSakqOfKXTPhDjkZc347Ra6bKmcdtslDlddCYS9GZSR5W4AEJeNyGvG1XXcVmtxHI5iprKqHDgqJJWPJfjOy8+RzSXwyKJ3HLWXKZUVFBQVX63eQOJfA6bZKXa4x1eImAYBtF8Ds3Q8dnsRPM5HDaJ6lIvPS0J9iYGsQsSbS9GCZY6KR6MoxQV8kCp6GVi/dFtQ/NRZLfbiUQiBAKBUyZ5GYZBJBLBbn/nylQzcY1A88tnkdfsZLQ8c4LjsUsWvjTjDD4/bcb76tR9eeUsth5M4hUVvLqHMVV+1vS1ER8sUOcK4rGLPNW2kVi2QIXHS1c6SaqQp8bvRNFVRMPCmNIANSUllLtL8ct+Qg43Tt3DxVVTqPaWoBsGoiCg6hpJJYdLtg23pPqw5VUFSRAP+0TdnojzwKaNRAbTnFvbxAWTRuFxDr0IEoUcL3ccoL8/jd/tpDOdpNins2DKaKZXVuKyWGmJx5AFkSa/H1EQ0HMGFZLCrgKoyJTIOXp6dTKaxEqljVLRz7WThjYO/NnaNaSKBSRR5CdrV7F4wXkIgkCFw8eCysmH/Q4P79iKz+6gzCGyvruL/2/W4VeWbfE4s5rr6O/zM5DNcOO8sxBFka29vfzktVdpTyaYFApT7fXxmclTCbsPvQrLqwrf/u+niSVyIBhUB0vIhXU64nEqvR7qS0oPe873Iosit5w9lz9u24zzPTqcAPTlExQ1ldbBJNFclmqvl65Uite6OphSUcGmwTbWDbTgdVhwaQ7GWAJMCoZ5tb0Nl8VK0OVkS18fugQ+p53R/gDRQo6MWsSiiWQkDVXT2PLKAeZlvQz4RUp0ifGyF+sxTKd+VFRXV9PZ2cnAwMDJDuV9sdvtVFe/804Mp+//6AhWanVzbcM5w18rmsb323cbAAAgAElEQVTugX4yqsKUUDmOo9h6AaDOHeCs0BjssoU98R56tCg2SUZEJGHs4jcHX8VlySFJtRTVSnw2B6Ig47Ra+Nk/LUJEJltUGeUP4Hc4yRQLtMZjzK1roOqNVkBvVtrJooTf9v6nrY7Va50dvNpxEEkQafQNNU2dUVFFpcfL0jWr2dvaTy5RpKUjSiZV4NLZE/j9K+t5sXUPWomOrApoCYlkoUjClucPW14n5HZTV+KjLR4jns9T1FSaQ2FWd7QTkv2UlObpyeVJFdK0o+K1urCoDnrTb23RU9BUippKKlskL6V5rH0tkigy2VfH3PDhhSU+m4PeTApZFPFY7Yc1pIahbTQkSaSxtowqzUd9WSm96RQ3v/gssXwezdDZExkk5PIQzecOSVy6YbClt4dIPEOw1E22qJDNFFl8/kIGMhkmh8OH9Ww8WuOCQe48ivVPO+IdrOzbiYGBy3CTUfO83N2HbsAccejqvC3Xh9/hoKDodBTj6L0ppuwoMMlVTWasj6SgMcZfRiyboy0Z52AiTiSdJe8CS9oAXUByiQTsTiaeUU7L5lZEQWDaRUeenThdWCwWGhreX3f/U4GZuE4SVS+yZuC/GSzsp9IxkTMCn0J8h84Rf927h/s3rSORy1NTUsLvLrtiuHntuyl1OLhy3AR2DPTTrnQQKyaQXAYoRYr2PtI5CxlVpK5sH4m0yr9MXsA5VTXsSa3k2f4ncchVTPKNosxZgyiIXNB4YtsCvZOcovBqexsHolE29nQjCQJXjJ9AayzOl6bPJJLLImkiDqeFQS3Pqs52xLWwYs8BBAlsUQt6uYZLtEJepK7KT8Yo8lLrAdJFhQ09XeiGzgqXl6+e8TFkUUQrNuB16lhsSUpdc1ASCSLpPHlDY07tW28Mnxg/kTtfWYEoCJQEoaBAmdPG+sh+5oTGHTJdE0/nmO4u56logoie55y6OpKFwmHNXWtLfFw5rpm2RJym0lLK3R6e2LMTzTBwWyxE8zmS+QJuq5Wqt6350nSd//zby6zt7CTv1OiNJJElkQtmNTMmUMaYwJG340gXizy1ZxcFTePi0WOGK1iLmsaGri4CTidjy45+K48NkRYGcmm2dcTIKyo2X5Fw1oLdIrEzvw84l0pXKaMq4nTHI1iSe3jxf7ZQ4R9DrVzCmNISzrliqBhp5cFWlqx5BZskY2R1JAvkKgwkxWCOo4b62jLmXDKVqXPHI1kkvP7TtAPGR5yZuE6SlvRrdGU3Y5MCtKReo9w5nlVrJVbvaKWhws8Ni2bjeqOEd2VbC5lCkbDbTXsiwcq2Ni4ZM/aonqeh1E+py8bG/DZcWQvRfJJUoUDYJWKVNVKKSG15gObaSpp9NbSm17A9GWNnIkFej9KSjtFcUkOF8/1PJ31YJFGkNxdjc2o/OCCftdASi9JUGiCjFDmvsY7f92wimslhQ6YlHSW9I4/TaiGuFykWdGo9Hj77sVncv3ETg0qWKo8Hh8VKayJGVIuRympEiyn+Z9tWZrrKyadFHPIU6rx2Hti9hp5EFq/FwaRABQVNpaCq5FWVSeEwZ4Zq6EumGMgPsLrnAH6vhFt08F+rVuNWXUwdVcnY6hDPbthNMpkjms2hCwaberr5xbrXuHXO4XsTjQ4EGB0IoOs6r+1q42BblDqXl9ZMHLfVyvWTpzCjooZX29tpDgap85XyxPod/O/q7RiigWrRqR/n419nnsX549/9A8jP165mfXcXgiCwqaebexb8E8l8nu/87Xl2DvYjCQL/52Oz+cTEw6c+/1FGLXAw3c+T21tJpUEwRKw2jTqnBU0X6e0r8ND+V+kpRunOxkgYrxN2JIlLeWJykRrbXFrbB9j59Gt4HFbGjQljkSQimaFWXmHFjtOwUS7Z+Oplc6mu9iNbJErDJ2aJgOnkMBPXSaLpCl2pAm3xGE45zYFdG9i8wUFduY8t+7t5dsMerpoz9MYwqtTPax0dJAsFHBYZ5/ucs9cNg6DdS40zgF1up4MsalEjQ4ygVafZ5cEjirjlMnRDpzdXpDdfRNF1BvLtPNK2iq+NPR+LeGwb8w1ms6SLBSrcnuHNGT8IUQCLJ48WKSLbDBQUdsY7UcQCn//bNgb1CIRFDMOFEwujQ2Uk4jnGOEPsT/Tja7Dx1TPOotlfRV2Jn7+1tHAgFsEqSuSMPPmCjgFY7bD5QAcHk/3YDJnzp4/iqeh2cqqCRRJJ61nKPDZWHmzl1fY2JFFEi6ts3tRBUi3g8sgU6lWcqgslIvNMYjfzGsby2KptnDOtgb5kGrfDioqGS7BikSRWd7SzfN8eZFEk6HQxpbyCZCHPgWiEx3btYMuebtQBlYDNTtKRoW6iBZtDpk3t4rEVO3BLdmwWmbvPv5BdXf1gAcGmQVZDcWeoqXa95036fdEoIZcbmyzRFk9w/8Z1dKVSbOrporakhLSi8Oed27lqwiSiyQz7d/UQHUgzbkIVjaMO7fCSUnKU2T0Uc/LQNjaCTDYjIrtkXA4LGPD6wEE61UHAwCIodIp+QlNTZF5PIdWIdLok3EWFbKGIp9POD+aexzP79tLeE6N9ZwRBg4ZRQTZ399HQcBp2dD8NmYnrJHFJzbRGPfgcCbr7fexoFylkC+TyCqIoUFTeKnn/yswzSRYK7BjsZ3ZVDXPr3t+ctd/m5ozAKNYP7kc3dBY1jqc1kkIwFL49fgBZ6MMiDiIonWyJutkajZNVVUpkBx6LSKTwDE92rKDEWslZZZ/HaTn6q6/WWJS/7NqJYRiE3W6umTj5fZUnG4ZORo3Smcjx0NY9pIp5rhg/HtGqUVHipC+TRnTkKXM7eT25E9mpohkg2QXcAQuxQZFoLssEf5B/XTAbh92Kw/pW8UiZ08n67k4Gc1l2DPRjd6uUlRn0J1RSeR0jrtHsD9JZTPPw3u0IZSq6bGCRBAqKwf5olLZokoKmMdpfSt+BFG6rhUFLjpSaQ+oRKJAhHVGQiwJtkdfBBuuSXYRLPDQqJYQtbiLkaR/oJ+Bw8H9ffok5tfX4HQ4ShQJbentY19XBwUQcawLyKJT7nGgZlQpXgH6iRLMF0mqeptIy+lJp9kQizBnXwIt795HKKlidMtOqK+nMRBj7Hmvs5tbW8dd9eyiqKnlF5aXWViZ4g1Aw6M9kAIFJwTBPr9vF5s0H6dsXYfq4Gnq6Y5T6P0ap/617bKVWF36bh+pSB62DWXTdoMrt43zbGBRNYbf1IHarBYsuoRo6dsmHYWSoOMdgxsILmeC9iJsfeIZsSztGJEu2qYbiYB0TA2VcO28yrwRaAQO71UJPJElR1Y5pbZvp1GL+D58kHouXeGYG6ZTOwc4MTX4vehb64mnG1gS5cOZbHaytksT35s5/l7O9tzMCTcwobeCRtjWk1BwVARvj3R5ccjuCNBZDj7I3sY5XB+OM9jaSiLZQMHQa7CnK7GlsYpBYoZ3dyb8xPXD0fcZ2DQ5gt8j4HU66kgmiuaHigd2JLl7t3021088FFZOQj3B/zzAM9iZX0JPbz91/j9GVkMmrAivaDjJnXIBwiQOvW6I/n0AViog2FQQD4Y09KnR7Fo9fQiuJck7zVLxuG6quH/IcW3t72dbfR8jpQBQFYpkCZ4+t5fm9rYhFGwWrweb+Hgo2g+m1ldj9FnbGO9GtKgubxpJMiWwu9pBVVAa70jTZffQMpik4NATFoCgbZJIKhgK6ArqqIjplPDYbqXyBs+c28q+hs3h87y4e3bGVqhIfW/t7ySpFqr0l7I9GKOracAGFy2sh01MgGsvhKJWx2EDL61S4h6aVuxNJ7BYro/1+6nyl/Nh5MQ/tXYunVCJc4qDBHSKv5lk72EKZ3UOzr+awcf/ctBlMKa/gZ2vX0JNO0dkWp7cYxyqJJLUCZT4nixpGsW5bO7IEgjDUoNgrW8jnFQBe3trCj//8EplCkWCtC3fATShu4Bas3DD9Y5wxppZ4OkczAbalD9Kv2NDRCdkmMtHn4pxQAzWuSWxt6yZKikgqAmmF9FPbWLemlcr6MtrOHcP42hDbWnsRBKgP+7G+QyNj00eLmbhOklK7k69MnsWje7bS4LcyRg4RnOTm4jPGEfZ7PpQ1F6Iosqh6OltibVhEkam+MOT3YGjd5NUY3Xkd3cih6jZCdjd1jhLGlehYxAQaGoIgAe++MPAfVXm8bO3rJa9qOCxWvDYbffkES3cvx8Bg1eBuVEPnkuoZhz22qGeIFA4i6gHiuTgOSx4BD5qmk0ta+di4RnrTSQajGhEjiUWQ0XQNUdTxWJwIhsTUmjBFXeEvA6/xxOA6UkqOCyomc039WUSzWX6+/jUySpGtAyncNpm6CiuiIYJipdJjQ7X0E+uUcdu95HSFglLkM5OncXnTFDZ1d/OLjjUUNZUSm42sojBnQi0v59vJKXF0Qaeo6yhFY2jUdGOoZ2ROpy+dIeRz0ZVJ4s84WNA0ihdbD9CfTWMTJRyyBcMwOKOyiudb9lPp8dCeiCM5Zc6rHs28ynps5Tr9WpxatQyXbGN2YCzFokBzMEydb+iqeGZ9Lc3V5XTnorgtDtyCjU+98ksGCnFkUeRLo87nusY5h419uMROQVep9ZSgohARsxg2Aa9oRRDhvt0vUxgsYNUEHLqMKx3D3VBOi5LEnrOz9C8vMxBPo4k60f15XFErqmbQ6HfzxKodnDt5FBV+L+MJc7Y6BhEBAwMBAYdkHf77V0UDCSg1ZDI5FcEt43BaiHfGyecVxtYEaaosQ1E16sKlp8xaJdMHYyauk2hOzSjm1IxC1w0S2TxOm+VDn+bwWhzMCY0b/tpwfpJ8fgt7Mutw2LyEbd3sTKYQECkYCgfSEuXOCor6AGO9zYzxvr8rv8nhcqySRCyfY2wgONSZPp1ANTQqHX4G8gnaM4NHfKws2rCIDkRrmjo/7OyzUFBVfDY7zcFyPt90Jr9/fRPnlvrZm+mix+gj6LVRYS/hE7Wz+e2Bv6PqKkVdIZJPU2b3ErJ7ebFnK+eGJzCQypPXVMaF/OyLDFJV4uGc+jIaPEG6AhrJfBtqwUaV0469tMDrA51YxCJdnQdYE9lLe4eOpkNRNfDYDOrL3NQHyghP93Lf+nVExBzWAmCAIIPqAkQBn2IloNrI6EUe2baNR8Xt3HjGLO6+4CJ2DvRT5fHis9txW614bDbKXC56Uim+PP0Mgi738L5aR8shW2nyDC3C/cXmlfTmYlhEC6qq8+eDaw9LXD/Y8ggboy1krGBNlYEFfIadJAoOu4WMXiAHNI7z0N+bJV6doODIs1Xppau9yJb+XvriSYqaDhoggvjG5x0dHVGXhvZ7esO7bYHSUOZnyoRadmaKqCkVR1xFzWtY3TbqK0oJlXpO+84Yp6Njfpfs7+/n+9//Pv39/djtdpYsWUJ1dTXJZJKbbrqJjo4O/H4/S5cuJRg0b5i+G1EUKHUfW+HDByWIfvLyaLJiC16rnzElDiqdbhQDtsWLhOwSAduZJIsiZ5bNP2QH3qM6vyAwPnjoDftGT4iwvYTuXARRkJgTOnLjXEmw0Oz7J3pyu7jz3ImsajPYMxhhWkUll44dj0WUySoKFZ4SAi4X25NWPlZRzkUVU4hlFC4qm8nqxA5KrE6qnAHaM4MUdBVBEJAFiYZSPyGnm/ZUDIssMbbCg9tq47yKiZwVmMBf9j1NIpUg1i6Q0wp4rQbeMpmiprNz9yCi5mJCbSUGBjOqytk3GON/tmzHKkl8unkaT76ynZ5cipRXRzJAVkWcooXx4RBJo0BLT5QSq51g0M2qzjbmNTRSeYQNDKs83uF1cx9UPq8jiiL5okYhJ1CM6/zX6xv5wrShK949iW42RFsps3qQhRx+n863z/846w908Je9u+lT01R5vFSXG+TJY6kuIig6XsFNVotTELLkFCcOu4ViUUMzAAkc5TbsEQNJk7h63mRK3Ee3w3Cpw8HX5pxNy5gxCPECXZu7yRUUzlgwicbG8HHbS8x0ajnmxHXzzTdz0UUX8alPfYo//elPLFmyhKVLl7J06VJmzpzJ/fffz7Jly7jzzjtZunTp8YzZdJx55BBuuYyUMkDQ7ieplBIpdFFug5wGkYJCvaviuHXEcMp2vjfxCvYkewnZvVQ5/e/ys6U0ec4CYNQRakLOrW/kxZb9dKq9lHgkMmqB7762jK0tWTAELhs7jlvPmUdfPsHv9v2NwWKa6+rPocw+lCAWn7+ALb29qEIRl0ugwRVCNwxei+0m6A8zpVKiu6RIdLCegZK9JPQ08XUSUh40JcuOfA81taVMDVWzvXeQmhIfHYkEtqCFpnAALQlZZwINsBeHElep28He9kFsHpm0ppCPxFkwehR3r3qZMruTayZNftfdoz+Ic2vH0JLtY3WkBashM7V0FMv37eHK8RPw2R14LHZEBDJqgaKuEnZ52BkZ4JfbN1DUVKZXVHD3ggs5kNnHlng3maLApngroqGhZQ3yRYNQwMV5U0azYssBDB3GVAe483OL8FptR1xg/V6CLhfBxje6zU8/umUgpo+2Y0pc0WiU3bt38/vf/x6Aq666itmzhxYIrlixgoceegiASy65hNtvvx1FUbC8w26sppNPFq1MLL2YnJrAJrkZLORIFKN4ZJ2UKiEKdupcweN6/8Ap25nmr//A55laXkFTqZ/HO9ciiQJ2ycq2wV5KbEEkQeLpvbu5efY5hO0lfHfSlYc93md3MK/+0CrNR9pWk1byiIJASybMZ6YMNdI9N9HMH19fyYr8ACVuJ1reQE2qgEFRHbqS68+k0AyNulIf8gRwd9mIJvKoIjhLrCwaM55FdWNpfzJBvU2mO5OkvNTLqo42NMMgp6rkVOWw7v/vRNFVIoU0LtmG5yj2v5pRWUVNySXcs+oV2hJxioqOVZaxikPTbZVOP9fXz+HRjrU0ecJ8qnoONz75LNF0BsGA1W0H+f32+xkVLrAxEqcn7yJoDdHkDXF++URm+cdR7S3BOlli1vg68kWF+VNHHXW3F5PpaBxT4uro6KCyspLFixezdu1aKisrue2224ChKcQ3pwZlWcbtdhONRgmHw8OPTyaTJJPJQ87Z29t7rL+D6TiQBAtuy1A3hAqHnQrHyFlw/F48Nhtnh8bwfM9WEsUsHjykC0UEQcBrtSO9z3sgebWIQ7IiCSJJNTfcXdsidVDmjGG36ChZhWhGQfcbZHv76U6m+NqZs9g9OMiEYJD5DU3EyrJIm0V6urOMLi9DlASaw2HG14T4lwvO5NG1W5jkK+eKMybyH2tXUe31Es8XaE8mjirOrJrnrh1P0JLqI2wv4eYJl1F+FAvFQy4335p9DvdvXEciX+DTU6YOVy1GCinWxg7gtTpAF/ivTVvoTaVQDbCJ4LCliRVa2RDTiBb9BK02uvMxrmk4hwUVh7ZXOm/q6Pc17ibT0XrPxPXMM89w1113HXKsrq6OnTt3cuONN/K9732PRx99lFtuuYU//vGPRzzHP04P/Pd//zf33nvvBwjbZDpUk6ecT9tLUHSNc0un8pPXVqHpBv8266z3fa554Qm80LMVHTivvBlBEDAMg97cTqp9ZYyZniDam2dwkKHS+6RGopilrsTHJWPeKnwp9Ti55pyplB8sYWNPF26rjTOqhhqHzh/byNzR9UNXsYbBlIPlbO7rRRJELh095h0iG6LpOlv7enihfwsbBg/gtTnZk+zmyc4NfHnMe/cOBKjwePjBuecfdnxrrJ1oMU21I8DGzh5SkdxQZYUBqqjSUBJBEm0U1QyioKBgRUDAcpw2DjWZjsZ7Jq6FCxeycOHCQ461t7dzxRVXMH/+UIXZJZdcwh133AFAKBRicHCQ8vJyVFUlnU7j8x3afuWzn/0sV1xxxSHHent7ue666z7QL2M6vb05VeYPufnNZYdPCx6teneIzzfNx8DA8sb6MkEQ8Foq0LydTG/QKFSWY6zKckBPUTB0agsOxh6h958gCMxvaGR2TQ0WUTqkmGD434LArXPOZX8kgttmo9r77oUYLx7cx8MHX6OvOECMLEVNRxQNlPe5VOFIAjY3GAbRYgpdN4im82gIIBnoiOhWnY6UjhJ3oUlBorKNOeFRzAmOe++Tm0zHyTFNFdbW1hIOh1m5ciXz5s3jpZdeorm5GYB58+axbNkybrjhBpYvX87MmTMPu7/l9XrxvseL02Q6mWTx8OnFsd759Fv30eQVCdlHMyaym3W721B1nXNnjMH6Lu2s7PK73+OVRZFxR1l9uyPSgywZWFQnOlFSQhYESOfTR/X4dzO5tI7PNMxlU7SV+RMnsbh7PTk1j1OWyakqLf11+FwK3XGZKo+f5lCYG8de9L6nY02mD+KYqwrvvfdefvCDH/DjH/8Yt9vN3XffDcA3vvENbrnlFhYtWoTH42HJkiXHLViT6WSyiHaqnG/dx5l/XjOjmsoRBIGa2gAAmqHSld1KRo1S6WimxHr8N9WcGqxi4/59JJQM2AAERARW9O/mO8fh/PPLJzK/fCIA8jw3d7yygpyi4LJYKCgqPXEJ3TCo9/nozaRoiUaZXH76btZoOvGOOXE1NjYe8Z6Wz+fjV7/61QcKymQ60Ta0dbBxXxfNlWHOHFt7yKLWbLGIZhh4/mG7EVmWaGg6dI3aloG17Em8RsBRSrzYyXT/J7BJruMa6/y6UQRcDv6wZzWvJOJgCCDrWKXjv3j9srHjaQ6FiWYzBFxufrL6Vbb19YIAWVXFLslUeE7cPmwmE5idM0ynuZyi8PSeXfzy6TUgCLg2W/mOPo9zJg6VyL/W0cHP16+hqGlcNa6ZayYdupWHbgx1kpcEkd50ipfadiDJBboSCSaW21GNAjaOb+ISBIEpwWou05rZu/MgCTUDhsQ1dWcf1+d587lG+QPgH7qivHfRZei6zjP799KRTHBufePwfl0m04liJi7TaStVKPA/27fw9M7dZIsK1WU+Yuksu3r7hhPXg9s2Y5UkSu0OHt+9g0Vjxg5fefXlEzzTtYmCptLkqOZAX4rBZBmN5UmShTiyMQWn9OHtC+WUbZxX3kxBL6LoGhdWvff+WMeDKIosGmMWY5hOHjNxmU5bnakkyUKBxmCA7u4Erf0RDMGgR4ij6TqiINDbleBAfwSn1UpNne+QPoGv9u9GEARUVWTxqr/jwUs0m8MwxlHptTOjbDbCcSoTV3Wd1R1t5IoKY8OllDtLGF9Szfb4TnpyO6lyinRlApRa5rzjTtom00eF+RduOm35bEP98up9Pg7UeulPxWkMlrI908Mjuzezs32QzoNxLDaRbKZAKOUY3ggzqxQ5GIvRl0+iFgUKqkahmCWVL7AvkuBgPM22vuf5xplnMTEUfrcwjsr9G9bxfOsuEtIAgt1gcjjMdH8dO5K7EIz9QJynuzawdvBVrqz7PwRs5pb1po8uc9Wg6bRV4fFw1fhmxpaVEfZZyaDREk0zkMyzvrsDWR9aeBwQHVQoLmRdYONgCz/btJJvv/AsO9tTDKRy9GQSFAsCqUIBSRTZPTiITZbpSCT41vPLeXTHdgqq+oFi3dy/idryNYwp34lLjBAvZnllYDc2QcBrSZJWbWQ1G0l1P8u7Nh+nETKZRiYzcZlOa0VN4+mOjWzp7UeWDLJ6Hk0TCFjd1JaX4vHbGMhnMCxQO83GsrbXWRfbQ0ZMsqs/wp62HO1dGg2eMoJOF2PKAkiSSKZYIFnIgwF7o4Psi0aOOUbDMAgFdpAqQKooU+ntB0HDb/UiiwHSqgO7lMcpKdjFcrJaHt3Q3/vEJtMpypwqNJ224vkcd7zyEj1CHzlFxylbcTksjPVVsHDUOB7btYOEV0X0WEhaNAaFFGF7Kd1CGk1SSRaKBF1OnBYrfoeDco+HWD7HJ8c1s6arg2g+j27AyrZWLh197MUMip5jTKiI164QV0CRYJR7LJ+om017NkK8OJXu7EZ6CwlgPHOC4xHNFkymjzAzcZlOW/2ZDHlFo9IbQPENkM2oBO2lzHRXQFqnsaQUiyThtzjoiSTY1RrD2iBT1Iq09xfRNJVkLo9TkhldVsa3Zp+DbhiIgsCPX30ZAxAFgbyqoujHfgUkizaa3LOQxQ1UGArNJQuZHrgQAL/dA9QDMyhoQ02f7Mdp+xmTaaQyE5fptFVf4qOxtJQDsQgBsYyvntFMtCUPOYNXd7QSrPSAAe2dMXRdp2eTgdI+SJ87T1rRkSUZ1TBwW218adpMYChRAVT7fFi7ZFwWCy5dp9x97GudREFiRtknqMpNwiI6KHcc+erteO2XZjKNdGbiMp22rLLM7fMvYOdAPwGHA7sh8+iBLZS6HWiaTqXdy43Tz+SXz6zBa7GSyOVIRBUKsoEggVWScFotTCwvx2s/dEffq8ZNwNAN2pIxLmwcTdUH7M1pl7zUuz/2gc5hMn1UmInLdFqzyzLTKyoBUDWdulApbX0xbFaZ5rowZ7nr2L6lhy37u5AEgaDdRVZNYbEKFHSdSreX6yYdvvDXKstcO3nKif51TKbTgpm4TKY3yJLIxWeOJ57O4bRbcViHpt5u/efzeOq1nWxr7QEBzvY3MHt6A+UeF/Wl/pMctcl0+jETl8n0NpIoEvAe2lvQ7bRxzXnTmB8bRUFRqQh4D2nCazKZTiwzcZlMRylcanajMJlGAnOxh8lkMplOKWbiMplMJtMpxUxcJpPJZDqlmInLZDKZTKcUM3GZTCaT6ZQyYqoKNU0DoLe39yRHYjKZTKeON98z33wPPR2MmMQ1MDAAwHXXXXeSIzGZTKZTz8DAAHV1dSc7jBNCMAzDONlBAOTzebZv304wGEQ6xsWdvb29XHfddTz00EOUl5cf5wg/mJEcG4zs+EZybDCy4xvJsYEZ3wfxZmx/+MMfkCSJiRMnYv+HnpkfVSPmistutzNz5szjcq7y8nKqq6uPy7mOt5EcG4zs+EZybDCy4xvJsYEZ3wdRVVU1YmP7sJjFGSaTyWQ6pZiJy2QymUynFDNxmUwmk+mUIv3whz/84ckO4sULP1cAAAkpSURBVHiy2WyceeaZ2Gy2kx3KYUZybDCy4xvJscHIjm8kxwZmfB/ESI7twzRiqgpNJpPJZDoa5lShyWQymU4pZuIymUwm0yllxKzjOlY//elPEUWRG2+8EYBkMslNN91ER0cHfr+fpUuXEgwGKRaLfO9732P79u3Y7XaWLFlCU1PThx5fJBLhC1/4wvDXqVSKWCzG66+/zvr16/n6178+vLBxwoQJ3HXXXR96TG+3bNkylixZQiAQAODcc8/lm9/8Jt3d3Xz7298mEonQ0NDAkiVLcLlc73G242/jxo0sXrwYVVXx+XwsXryYqqqqETF2AH/961+57777UBSFz33ucyOi88u9997LM888A8C8efO4+eabufXWW9m4cSMOhwOAr3/96yxYsOCEx3b99dcTiUSQ5aG3nttvv5329vYRMYaPPvooDz744PDXnZ2dXH755eRyuZM6dul0mmuuuYZf/epXVFdXs3r1au666y4KhQILFy7km9/8JgC7du3i+9//Pul0mpkzZ/KjH/1oeJw/coxTVDKZNG699VZj8uTJxs9+9rPh4z/60Y+MX//614ZhGMbjjz9ufOMb3zAMwzB++9vfGrfddpthGIaxbt064+qrrz7hMWuaZnz60582nnzyScMwDON3v/ud8atf/eqEx/F2t99+u/HXv/71sONf/vKXjaeeesowDMO49957jXvuuedEh2YYhmHMnz/f2LVrl2EYhvHoo48aN9xwg2EYI2Psent7jfnz5xuxWMzIZDLGpZdeauzbt++kxrRq1Srjn//5n41CoWAUi0Xj+uuvN55//nnjkksuMfr6+k5qbLquG2effbahKMrwsZE4hoZhGHv37jUWLFhgRCKRkzp2mzdvNi655BKjubnZ6OjoMHK5nDFv3jyjvb3dUBTF+MIXvmCsWLHCMAzDWLRokfH6668bhmEYt956q/HQQw+dlJhPhFN2qvBvf/sb9fX1fP7znz/k+IoVK7j00ksBuOSSS3j55ZdRFIUVK1Zw2WWXAXDGGWcQi8Xo7u4+oTE/9thjOByO4fi2bdvGqlWr+PjHP84NN9xAT0/PCY3nzRiWLVvGZZddxk033UQikUBRFNavX89FF10EwJVXXsmzzz57wmMrFot84xvfYNy4cQCMHTt2eIxGwtitXr2aWbNm4fP5cDqdXHTRRSdlnN4uGAxyyy23YLVasVgsNDU10d3dTXd3N7fddhuXXnopP/vZz9B1/YTH1tLSgiAIfOlLX+Kyyy7jwQcfHJFjCPDDH/6Qb37zm9jt9pM6dn/+85/5wQ9+QCgUAmDr1q3U1dVRU1ODLMtceumlPPvss3R1dZHP55k6dSpw8l6zJ8opm7g+/vGP8+Uvf/mwvob9/f0Eg0EAZFnG7XYTjUYPOQ5DL/AT2Yle0zTuu+8+vvWtbw0f83g8XH/99Sxbtox58+YNX/KfSMFgkBtvvJEnnniCiooKbr/9dmKxGG63e3iaIRgM0tfXd8Jjs1qtXH755QDous69997LBRdcAIyMsfvHv6lQKHRSxuntRo8ePfzmdfDgQZYvX86cOXOYNWsWixcv5s9//jMbNmzgf//3f094bMlkktmzZ/OLX/yCBx54gIcffpju7u4RN4arV68mn8+zcOFCIpHISR27O++885BWeO/0N3ek97eTPY4fphE/AfrMM88cdu+isbGRBx544KjPIYpHzs/vdPxYvVusr7zyCg0NDYwdO3b4e7fffvvwvz/1qU/xH//xH6RSKTwez3GN671ie9MXv/hFLrjgAm6++ebDHi8IwnGP6WjjKxaL3HLLLaiqyle+8hXgxI7dOzGOsJLkwx6no7Vv3z6+8pWv8J3vfIfGxkZ+8YtfDH/vM5/5DMuWLeOTn/zkCY1p2rRpTJs2DQCn08nVV1/NXXfdxQ033HDIz53sMXz44YeHZ3JqampGxNi96Z3+5kby3+KHYcQnroULF7Jw4cKj/vlQKMTg4CDl5eWoqko6ncbn8xEKhQ5p+z8wMDB8+X0iYn3xxRe5+OKLh7/WdZ1f//rXh101flg3U48UWyqV4oEHHuBzn/scMPSikGUZv99POp1G0zQkSfpQxupo4gPIZDJ89atfxefzcd9992GxWE742L2TcDjMhg0bhr/u7+//0MfpaGzcuJF/+7d/47vf/S6LFi1iz549HDx4cHjq983/5xNtw4YNKIrC7Nmzh+OoqqpicHBw+GdO9hgWi0XWr1/P3XffDTBixu5N4XD4iOP1j8dPxGv2ZDplpwrfybx581i2bBkAy5cvZ+bMmVgsFubNm8cTTzwBDL2AbDYblZWVJyyuzZs3H3LJL4oiL7zwAs899xwwVN03ZcqU4cqlE8HpdPLb3/6WLVu2APDggw+yYMECLBYLM2fOZPny5cOxzZ0794TF9Xbf/va3qaur46c//SlWqxUYGWMHcNZZZ7FmzRqi0Si5XI7nn3/+pI3Tm3p6evja177GkiVLWLRoETD0Zrt48eLh+5ePPPLISakoTKVS3HPPPRQKBdLpNI8//jg//vGPR9QY7tmzh/r6epxOJzByxu5NU6ZMobW1lba2NjRN46mnnmLu3LlUVVVhs9nYuHEjcHJfsyfCKd854+c//znAcDl8PB7nlltuoaOjA4/Hw5IlS6iurqZQKPDv//7vbN++HavVyh133EFzc/MJi3PKlCmsW7fukNYs+/bt47bbbiOVSuH3+7nnnnuoqKg4YTHBUBK/8847yefz1NfXc8899+DxeOjq6uKWW24hEolQUVHBf/7nf1JSUnJCY9u5cydXXHEFo0aNGv6UGwqF+M1vfjMixg6GyuF//etfoygKV199NV/60pdOeAxvd8cdd/DYY49RW1s7fOyaa65B13UeeughVFXlwgsv5Kabbjop8S1dupTnnnsOXde59tpr+exnPzuixnD58uW88MIL/OQnPxk+9tBDD530sTvvvPP4wx/+QHV1NWvWrBkuh583bx633norgiCwe/duvv/975PJZIaXh7z5Ye+j5pRPXCaTyWQ6vXzkpgpNJpPJ9NFmJi6TyWQynVLMxGUymUymU4qZuEwmk8l0SjETl8lkMplOKWbiMplMJtMpxUxcJpPJZDqlmInLZDKZTKeU/wff/h/xhWWSswAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data.tsne().plot(c=data.get_data('y'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Linear Discriminant Analysis" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data('train').lda(n_components=2).plot(c=data('y_train'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Heatmap" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data.plot() # alias data.heatmap()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Correlation matrix plot" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data.corr().plot() # alias data.correlation()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Features pairplot" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data[data.columns[:3]].pairplot() # max_features is set to 12 by default" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Features boxplot" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data.boxplot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 4. Benchmark" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Compute a model's score on the task\n", "\n", "By default, the method naturally train model on train set and test it on test set." ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#data.set_class('income')\n", "data.score()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.673927842069435, 4.0223155098725256e-05)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# mean and variance on several runs\n", "data.score_error_bars()" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "# score on another target\n", "#data.set_class('pH')\n", "#data.score()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Compute score with custom model and scoring function" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9495017187731164" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.metrics import f1_score\n", "from sklearn.linear_model import LogisticRegression\n", "\n", "data.score(model=LogisticRegression(), metric=f1_score)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Call auto-sklearn" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "# data.score(method='automatic')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 5. Comparison" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Two similar datasets (subsets of the same distribution)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "ad1 = apd.read_csv('autopandas/data/squares1.csv') # CSV separator is infered automatically\n", "ad2 = apd.read_csv('autopandas/data/squares2.csv')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3 types of distances:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 1) Between points/columns\n", "* L0, Euclidean and more\n", "* Kolmogorov-Smirnof, Jensen-Shannon, Mutual information" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 2) Between distributions (datasets)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Default: nn_discrepancy" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.026799842170199373" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ad1.distance(ad2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Nearest Neihbors Adversarial Accuracy" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.28" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ad1[:300].distance(ad2[:300], method='nnaa')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Euclidean?\n", "* MMD?\n", "* etc." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Adversarial score / Binary classification / Discriminant / Classifier score / Discrepancy metric" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.5356410256410257\n", "0.5087179487179487\n" ] } ], "source": [ "print(ad1.distance(ad2, method='discriminant')) # or 'discrepancy'\n", "\n", "from sklearn.neural_network import MLPClassifier\n", "model = MLPClassifier(hidden_layer_sizes=(20, 20))\n", "print(ad1.distance(ad2, method='discriminant', model=model))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Task score / Utility\n", "Some possible parameters: model, metric." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RandomForestClassifier(bootstrap=True, class_weight=None, criterion='gini',\n", " max_depth=None, max_features='auto', max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=10, n_jobs=None,\n", " oob_score=False, random_state=None, verbose=0,\n", " warm_start=False)\n", " precision recall f1-score support\n", "\n", " 0.0 1.00 1.00 1.00 1172\n", " 1.0 1.00 1.00 1.00 759\n", " 5.0 1.00 1.00 1.00 169\n", "\n", " micro avg 1.00 1.00 1.00 2100\n", " macro avg 1.00 1.00 1.00 2100\n", "weighted avg 1.00 1.00 1.00 2100\n", "\n", "Metric: \n", "0.9995238095238095\n", "0.9994444444444445\n", "0.998999833305551\n", "0.9992856122303186\n" ] } ], "source": [ "ad1.set_class('0.0.29')\n", "ad2.set_class('0.0.29')\n", "print(ad1.score(verbose=True)) # Trained on ad1 and tested on ad1 (with split)\n", "print(ad2.score()) # Trained on ad2 and tested on ad2 (with split)\n", "print(ad1.score(test=ad2)) # Trained on ad1 and tested on ad2\n", "print(ad2.score(test=ad1)) # Trained on ad2 and tested on ad1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Overlay plot" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pca1 = ad1.pca(n_components=2)\n", "pca2 = ad2.pca(n_components=2)\n", "pca1.plot(ad=pca2) # alias ad.plot(pca1, pca2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Marginal plots" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ad1.compare_marginals(ad2, method='all', target='0.0') # if no target, it uses the defined class" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 6. Generation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Copy" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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fixed acidityvolatile aciditycitric acidresidual sugarchloridesfree sulfur dioxidetotal sulfur dioxidedensitypHsulphatesalcoholquality
3703374232-0.98350421350.523382-0.8197861819312
14121938292.49818740410.8258821.664201372772
391137109101.27278733551.7566521.106371332782
562426636-0.2832762638-0.872774-0.6688433634774
26323444501.33114045881.3145371.365598242492
\n", "
" ], "text/plain": [ " fixed acidity volatile acidity citric acid residual sugar chlorides \\\n", "3703 37 42 32 -0.983504 21 \n", "1412 19 38 29 2.498187 40 \n", "3911 37 109 10 1.272787 33 \n", "562 42 66 36 -0.283276 26 \n", "2632 34 44 50 1.331140 45 \n", "\n", " free sulfur dioxide total sulfur dioxide density pH sulphates \\\n", "3703 35 0.523382 -0.819786 18 19 \n", "1412 41 0.825882 1.664201 37 27 \n", "3911 55 1.756652 1.106371 33 27 \n", "562 38 -0.872774 -0.668843 36 34 \n", "2632 88 1.314537 1.365598 24 24 \n", "\n", " alcohol quality \n", "3703 31 2 \n", "1412 7 2 \n", "3911 8 2 \n", "562 77 4 \n", "2632 9 2 " ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen = apd.generators.Copycat()\n", "gen.fit(data)\n", "gen.sample(n=5)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gendata = gen.sample(data.shape[0])\n", "data.distance(gendata)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Additive Noise Model" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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fixed acidityvolatile aciditycitric acidresidual sugarchloridesfree sulfur dioxidetotal sulfur dioxidedensitypHsulphatesalcoholquality
0443638-0.32198242490.808092-0.3482684518592
15287300.2731161513-1.578761-0.3594231713652
228736-0.8511742853-0.199376-0.4890193044244
3235027-0.73486813470.323189-0.9772165837674
4141723-0.686407288-0.733711-0.5293745127222
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" ], "text/plain": [ " fixed acidity volatile acidity citric acid residual sugar chlorides \\\n", "0 44 36 38 -0.321982 42 \n", "1 52 87 30 0.273116 15 \n", "2 28 7 36 -0.851174 28 \n", "3 23 50 27 -0.734868 13 \n", "4 14 17 23 -0.686407 28 \n", "\n", " free sulfur dioxide total sulfur dioxide density pH sulphates \\\n", "0 49 0.808092 -0.348268 45 18 \n", "1 13 -1.578761 -0.359423 17 13 \n", "2 53 -0.199376 -0.489019 30 44 \n", "3 47 0.323189 -0.977216 58 37 \n", "4 8 -0.733711 -0.529374 51 27 \n", "\n", " alcohol quality \n", "0 59 2 \n", "1 65 2 \n", "2 24 4 \n", "3 67 4 \n", "4 22 2 " ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen = apd.generators.ANM() # use 'model' parameter to use custom model for imputation\n", "gen.fit(data)\n", "gen.sample(n=5)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.45799999999999996\n", "0.477\n" ] } ], "source": [ "# p is the probability of replacing original data\n", "# If p is small a lot of data is copied and nnaa can be under 0.5\n", "generated = gen.sample(n=500, p=0.1)\n", "print(data[:500].distance(generated, method='nnaa'))\n", "\n", "generated = gen.sample(n=500, p=1)\n", "print(data[:500].distance(generated, method='nnaa'))" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pca_data_1, pca_model = data.pca(n_components=2, return_param=True)\n", "pca_data_1 = pca_data_1[:500]\n", "pca_data_2 = gen.sample(n=500).pca(model=pca_model)\n", "pca1.plot(ad=pca2, names=['original', 'generated'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Copula" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gen = apd.generators.Copula() # use 'model' parameter to use custom model generation (between copula tricks)\n", "gen.fit(data)\n", "data.compare_marginals(gen.sample(n=500), method='mean')\n", "data.compare_marginals(gen.sample(n=500), method='std')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Also: \n", "# - VAE (apd.generators.VAE)\n", "# - GMM (apd.generators.GMM)\n", "# - KDE (apd.generators.KDE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Artificial data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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0_X10_y
00.997526-0.5055211
10.985818-0.0082230
2-0.0019820.4990281
32.0029420.4970731
4-1.007215-0.0142100
\n", "
" ], "text/plain": [ " 0_X 1 0_y\n", "0 0.997526 -0.505521 1\n", "1 0.985818 -0.008223 0\n", "2 -0.001982 0.499028 1\n", "3 2.002942 0.497073 1\n", "4 -1.007215 -0.014210 0" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen = apd.generators.Artificial()\n", "gen.sample(n=5)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gen.sample(n=100, noise=0.05).get_data('X').plot()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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0_X10_y
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" ], "text/plain": [ " 0_X 1 0_y\n", "0 -2.519648 3.636578 1\n", "1 -2.840472 2.072427 1\n", "2 -8.392442 7.926996 2\n", "3 9.113111 6.036909 0\n", "4 9.924669 4.478660 0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gen = apd.generators.Artificial(method='blobs')\n", "gen.sample(n=5)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gen.sample(n=100).get_data('X').plot()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "py37", "language": "python", "name": "py37" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 2 }