diff --git "a/01-\346\226\207\347\214\256\350\247\243\350\257\273/2023/202303/01_\346\212\225\350\265\204\345\255\246-\346\241\210\344\276\213\344\275\234\344\270\2321_\350\257\264\346\230\216.pdf" "b/01-\346\226\207\347\214\256\350\247\243\350\257\273/2023/202303/01_\346\212\225\350\265\204\345\255\246-\346\241\210\344\276\213\344\275\234\344\270\2321_\350\257\264\346\230\216.pdf" deleted file mode 100644 index 1d122bd5..00000000 Binary files "a/01-\346\226\207\347\214\256\350\247\243\350\257\273/2023/202303/01_\346\212\225\350\265\204\345\255\246-\346\241\210\344\276\213\344\275\234\344\270\2321_\350\257\264\346\230\216.pdf" and /dev/null differ diff --git "a/01-\346\226\207\347\214\256\350\247\243\350\257\273/2023/202303/20230308_\347\237\263\345\256\233\351\235\222_\350\256\272\346\226\207\345\261\225\347\244\272.pdf" "b/01-\346\226\207\347\214\256\350\247\243\350\257\273/2023/202303/20230308_\347\237\263\345\256\233\351\235\222_\350\256\272\346\226\207\345\261\225\347\244\272.pdf" new file mode 100644 index 00000000..21ddb119 Binary files /dev/null and "b/01-\346\226\207\347\214\256\350\247\243\350\257\273/2023/202303/20230308_\347\237\263\345\256\233\351\235\222_\350\256\272\346\226\207\345\261\225\347\244\272.pdf" differ diff --git "a/10-\347\240\224\347\251\266\346\226\271\346\263\225\345\255\246\344\271\240\347\217\255/12-\346\234\272\345\231\250\345\255\246\344\271\240/04-\351\207\215\346\212\275\346\240\267resampling/5 Resampling.ipynb" "b/10-\347\240\224\347\251\266\346\226\271\346\263\225\345\255\246\344\271\240\347\217\255/12-\346\234\272\345\231\250\345\255\246\344\271\240/04-\351\207\215\346\212\275\346\240\267resampling/5 Resampling.ipynb" new file mode 100644 index 00000000..57f909d1 --- /dev/null +++ "b/10-\347\240\224\347\251\266\346\226\271\346\263\225\345\255\246\344\271\240\347\217\255/12-\346\234\272\345\231\250\345\255\246\344\271\240/04-\351\207\215\346\212\275\346\240\267resampling/5 Resampling.ipynb" @@ -0,0 +1,2589 @@ +{ + "cells": [ + { 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+ } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 5 Resampling Methods\n", + "Resampling methods are an indispensable tool in modern statistics. They involve repeatedly drawing samples from a training set and refitting a model of interest on each sample in order to obtain additional information about the fitted model.We discuss two of the most commonly used resampling methods, cross-validation and the bootstrap.\n", + "## 5.1 Cross-Validation\n", + "The training error rate often is quite different from the test error rate, and in particular the former can dramatically underestimate the latter.In this section, we instead consider a class of methods that estimate the test error rate by holding out a subset of the training observations from the fitting process, and then applying the statistical learning method to those held out observations.\n", + "### 5.1.1 The Validation Set Approach\n", + "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "from sklearn.preprocessing import PolynomialFeatures\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.metrics import mean_squared_error\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "import os\n", + "path=os.getcwd()" + ] + }, + { + "cell_type": "code", + "execution_count": 230, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(397, 9)\n" + ] + }, + { + "data": { + "text/html": [ + "
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mpgcylindersdisplacementhorsepowerweightaccelerationyearoriginname
018.08307.0130350412.0701chevrolet chevelle malibu
115.08350.0165369311.5701buick skylark 320
218.08318.0150343611.0701plymouth satellite
316.08304.0150343312.0701amc rebel sst
417.08302.0140344910.5701ford torino
\n", + "
" + ], + "text/plain": [ + " mpg cylinders displacement horsepower weight acceleration year \\\n", + "0 18.0 8 307.0 130 3504 12.0 70 \n", + "1 15.0 8 350.0 165 3693 11.5 70 \n", + "2 18.0 8 318.0 150 3436 11.0 70 \n", + "3 16.0 8 304.0 150 3433 12.0 70 \n", + "4 17.0 8 302.0 140 3449 10.5 70 \n", + "\n", + " origin name \n", + "0 1 chevrolet chevelle malibu \n", + "1 1 buick skylark 320 \n", + "2 1 plymouth satellite \n", + "3 1 amc rebel sst \n", + "4 1 ford torino " + ] + }, + "execution_count": 230, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data = pd.read_csv(os.path.join(path,'data','Auto.csv'),engine='python')\n", + "print(data.shape)\n", + "data.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 231, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "mpg float64\n", + "cylinders int64\n", + "displacement float64\n", + "horsepower object\n", + "weight int64\n", + "acceleration float64\n", + "year int64\n", + "origin int64\n", + "name object\n", + "dtype: object" + ] + }, + "execution_count": 231, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.dtypes" + ] + }, + { + "cell_type": "code", + "execution_count": 232, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['130', '165', '150', '140', '198', '220', '215', '225', '190',\n", + " '170', '160', '95', '97', '85', '88', '46', '87', '90', '113',\n", + " '200', '210', '193', '?', '100', '105', '175', '153', '180', '110',\n", + " '72', '86', '70', '76', '65', '69', '60', '80', '54', '208', '155',\n", + " '112', '92', '145', '137', '158', '167', '94', '107', '230', '49',\n", + " '75', '91', '122', '67', '83', '78', '52', '61', '93', '148',\n", + " '129', '96', '71', '98', '115', '53', '81', '79', '120', '152',\n", + " '102', '108', '68', '58', '149', '89', '63', '48', '66', '139',\n", + " '103', '125', '133', '138', '135', '142', '77', '62', '132', '84',\n", + " '64', '74', '116', '82'], dtype=object)" + ] + }, + "execution_count": 232, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data['horsepower'].unique()" + ] + }, + { + "cell_type": "code", + "execution_count": 233, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "mpg float64\n", + "cylinders int64\n", + "displacement float64\n", + "horsepower int32\n", + "weight int64\n", + "acceleration float64\n", + "year int64\n", + "origin int64\n", + "name object\n", + "dtype: object" + ] + }, + "execution_count": 233, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data['horsepower'] = data['horsepower'].replace('?',np.nan)\n", + "data = data.dropna()\n", + "data['horsepower'] = data['horsepower'].astype('int')\n", + "data.dtypes" + ] + }, + { + "cell_type": "code", + "execution_count": 234, + "metadata": {}, + "outputs": [], + "source": [ + "powers = np.arange(1,11)" + ] + }, + { + "cell_type": "code", + "execution_count": 235, + "metadata": {}, + "outputs": [], + "source": [ + "errors = []\n", + "for power in powers:\n", + " poly = PolynomialFeatures(power)#1-10次项\n", + " X = poly.fit_transform(data['horsepower'].to_frame())\n", + " y = data['mpg']\n", + " X_train,X_test,y_train,y_test = train_test_split(X,y,test_size = 0.1,random_state = 0)#划分训练、测试数据,random_state为0时每次结果不同\n", + " \n", + " lr = LinearRegression()\n", + " lr.fit(X_train,y_train)\n", + " errors.append(mean_squared_error(y_test,lr.predict(X_test)))" + ] + }, + { + "cell_type": "code", + "execution_count": 236, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,1,'Validation Set')" + ] + }, + "execution_count": 236, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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Errors0Errors1Errors2Errors3Errors4Errors5Errors6Errors7Errors8Errors9
121.81114325.65016028.82753624.30136919.27239027.64267723.77667719.30862021.06057419.866369
215.97712017.26452023.74255816.83385013.47605524.59655217.41019316.45593712.45326315.961779
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415.77829416.92726624.27725117.06120313.28675624.67649818.80772317.70358512.47869316.198389
515.93835016.82443125.03673616.35470012.55233024.49895116.65691515.59369212.46898015.313375
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" + ], + "text/plain": [ + " Errors0 Errors1 Errors2 Errors3 Errors4 Errors5 \\\n", + "1 21.811143 25.650160 28.827536 24.301369 19.272390 27.642677 \n", + "2 15.977120 17.264520 23.742558 16.833850 13.476055 24.596552 \n", + "3 15.915739 17.108497 23.604935 16.904634 13.398018 24.738484 \n", + "4 15.778294 16.927266 24.277251 17.061203 13.286756 24.676498 \n", + "5 15.938350 16.824431 25.036736 16.354700 12.552330 24.498951 \n", + "\n", + " Errors6 Errors7 Errors8 Errors9 \n", + "1 23.776677 19.308620 21.060574 19.866369 \n", + "2 17.410193 16.455937 12.453263 15.961779 \n", + "3 17.722400 17.946887 12.251760 15.760263 \n", + "4 18.807723 17.703585 12.478693 16.198389 \n", + "5 16.656915 15.593692 12.468980 15.313375 " + ] + }, + "execution_count": 239, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "temp.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 240, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 240, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "temp.plot.line(figsize = (12,6))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "1. As is shown in the right-hand panel of Figure, the validation estimate of the test error rate can be highly variable, depending on precisely which observations are included in the training set and which observations are included in the validation set.\n", + "2. In the validation approach, only a subset of the observations—those that are included in the training set rather than in the validation set—are used to fit the model. Since statistical methods tend to perform worse when trained on fewer observations, this suggests that the validation set error rate may tend to overestimate the test error rate for the model fit on the entire data set." + ] + }, + { + "attachments": { + "%E5%9B%BE%E7%89%87.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 5.1.2 Leave-One-Out Cross-Validation\n", + "Instead of creating two subsets of comparable size, a single observation $(x_1, y_1)$ is used for the validation set, and the remaining observations ${(x_2, y_2),...,(x_n, y_n)}$ make up the training set. The statistical learning method is fit on the $n−1$ training observations, and a prediction $\\hat{y_1}$ is made for the excluded observation using its value $x_1$. \n", + "$$MSE_1 = {(y_1−\\hat{y}_1)}^2\\tag{5.1}$$\n", + "$${CV}_{(n)}=\\frac{1}{n}\\sum_{i=1}^n MSE_i\\tag{5.2}$$ \n", + "\n", + "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)\n", + "$${CV}_{(n)}=\\frac{1}{n}\\sum_{i=1}^n (\\frac{y_i−\\hat{y}_i}{1-h_i})^2\\tag{5.3}$$ \n", + "$$h_i=\\frac{1}{n}+\\frac{(x_i-\\overline{x})^2}{\\sum_{i'=1}^n (x_{i'}-\\overline{x})^2}\\tag{5.4}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 241, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.model_selection import cross_val_score ##交叉验证\n", + "scores = []\n", + "n = len(data)\n", + "for power in range(1,11):\n", + " poly = PolynomialFeatures(power,include_bias=False)\n", + " X = poly.fit_transform(data['horsepower'].to_frame())\n", + " y = data['mpg']\n", + " lr = LinearRegression()\n", + " scores.append(cross_val_score(lr,X,y,cv = n,scoring = 'neg_mean_squared_error').mean())" + ] + }, + { + "cell_type": "code", + "execution_count": 242, + "metadata": {}, + "outputs": [], + "source": [ + "scores = list(map(abs,scores))\n", + "powers = np.arange(1,11)" + ] + }, + { + "cell_type": "code", + "execution_count": 243, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(15, 28)" + ] + }, + "execution_count": 243, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "temp = pd.DataFrame({\"power\":powers,'scores':scores})\n", + "plt.figure(figsize = (12,6))\n", + "g = sns.FacetGrid(data = temp,size=5)\n", + "g.map(plt.scatter, 'power' , 'scores')\n", + "g.map(plt.plot, 'power', 'scores')\n", + "plt.title('LOOCV')\n", + "plt.ylim(15,28)" + ] + }, + { + "cell_type": "code", + "execution_count": 244, + "metadata": {}, + "outputs": [], + "source": [ + "scores_list = []\n", + "from sklearn.utils import shuffle\n", + "for _ in range(10):\n", + " scores = []\n", + " n = len(data)\n", + " for power in range(1,11):\n", + " poly = PolynomialFeatures(power,include_bias=False)\n", + " X = poly.fit_transform(data['horsepower'].to_frame())\n", + " y = data['mpg']\n", + " X,y = shuffle(X,y)\n", + " lr = LinearRegression()\n", + " scores.append(cross_val_score(lr,X,y,cv = 10,scoring = 'neg_mean_squared_error').mean())\n", + " scores_list.append(list(map(abs,scores))) " + ] + }, + { + "cell_type": "code", + "execution_count": 245, + "metadata": {}, + "outputs": [], + "source": [ + "data_dict = {'Scores'+ str(i):scores_list[i] for i in range(10)}\n", + "temp = pd.DataFrame(data_dict)\n", + "temp.index = powers" + ] + }, + { + "cell_type": "code", + "execution_count": 246, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Scores0 Scores1 Scores2 Scores3 Scores4 Scores5 \\\n", + "1 24.169095 24.267930 24.126977 24.320628 24.235269 24.250386 \n", + "2 19.287678 19.125728 19.254058 19.294953 19.238809 19.264925 \n", + "3 19.341976 19.475154 19.885369 19.224707 19.247523 19.329809 \n", + "4 19.309653 19.396730 19.283112 19.336957 19.452024 19.501023 \n", + "5 19.050181 19.471429 18.941972 18.772003 18.956761 19.123334 \n", + "\n", + " Scores6 Scores7 Scores8 Scores9 \n", + "1 24.100580 24.157451 24.128125 24.352268 \n", + "2 19.407405 19.470354 19.277926 19.121712 \n", + "3 19.380036 19.235949 19.540366 19.419400 \n", + "4 19.712741 19.475507 19.588227 19.552272 \n", + "5 18.736436 19.053037 18.822580 19.118269 " + ] + }, + "execution_count": 246, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "temp.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 247, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "temp.plot.line(figsize = (14,8))\n", + "plt.ylim(16,28)\n", + "plt.title('10 Fold CV')\n", + "plt.xlabel('Degree')\n", + "plt.ylabel('Error')" + ] + }, + { + "attachments": { + "%E5%9B%BE%E7%89%87.png": { + "image/png": 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uW2XbDLnt2bz3yZz2PRFh7rS8ds9J2aZfbcv9v+JGu2fINWPy6oezl/GX8PE7Ap2oCz7G0zaL/J7o916KsJz8vrfM8u8HQJUZE0Fn+PsnGXJWiZHF4Ocy/C+LH3I0zvt7pn3yWR4bPynn3jEu3zvx66OLb57wYu4s96BAB2/P4v0j77z8enY4ZVFnIhqdlS94MWc8NS1vzynnOubn/Xcm59hLHikxhilzTLQoFb0PFtA4Kxdd3HS2oqMfy/Fv/WPJ79OG2/qfF07Mn5Z4kf/MXz6ZmZGPvpadhz60iH+XUfnvM8flsrfnduxgbofv039m9uy/5Z3J03LHY2/l6KsfT89FjJP+67J3M6UrbVgaZ2boeYs6I9Wo/NvgMVnx1D9mo/OeytYXPpmNznw0fYcs6iX+RuU/z56QxzrjwN7SdnuXBp8/npO/3+0rz7quW//oPNTmByZKmT3y8KxV3/SH3L5750an6F/6zJ+WJy47PD/b+X9z1DXPpa0n6mh8Z1h26dX6h8hVD72naw1Lu4LGN3Nxyx/LG7LF0OfLeibz8nTffvWxZJ/cNNVjydKjMRMv3zW962pSU1Of7xz/6Jc//0+7PnuuUNPy+bvS3jdkSsH/rPM/vjZ79CpxZpWS1WX1nYZm7Idd5XOsevffknTK12U7Hx871fwZefbygdmkz5ePx7Xd1sr2x92SV9ry+jazXsyFO/dN/RpbZfvv92762bQ2ffe7OdPKvYi7DsnKda2fE30OvL3N37O/pvHNXLJjj9TU1GW1Hc/Iwx8sJ38C8ztC5+jgz5jLhq77GE/bfO33Xj+rkvhdejnn3w+AajMmgs5Q8HClcdbM3HDzE6lf8HKOeToXTS1zYVGpIc0/vsgDdz+d3osYgHzz+MdzyGMzMrUdW5r84295YvRzWWWRZ73p4mOizM31VzUNN455Kucs6exGbbyt5Y2JFjD701xyxSP590Vc1jePfzInv9GBw+qF36f/yvTJf84R5475ytm5/uO3f8pTizgLV9WUHOeU37+d+GwueK+TDqovbbe3y5ubVy/eIb3ru6Vb99bTktf2GZjbP6/2bVtWzM3zQ7dIQ/PLQ2x/Ud7w6bfUmf3HIdm46Vm29Rsck4fb+I278Z2r8rO+TX9g7f7dDHpw2jJ+NoO2mz/1xuzddB/V1K+bo0aXd4hx+blv5+b5oZu3PpbseEnXOWMMS9Y4IRdu1+PLP8rXrZpD7mxaWMybkBEHbJQ+9XXps+khuX5C8X+lb/OYqL5vNv3F8Ixrywik0qp4/y1e53xdtvfxsdM0TsnoU7fNKk1/QK5bbfucOmpSuwZPs589Iz/oueBL5fTIzsPeLvsZ7HOfPiWbdmsdH/Ta+8ayX9aslPlTbsw+q9al2/eOyahpy+Z3mK/zO0Jn6ejPmMuELvsYT9ss9D1xh4v93ksSv0sv7/z7AVBtxkTQGSoxXPnn3zLmD0+0vgzY0Y/m6NfLXJVU5PbMzeP3PZWGRQ0PTn42577VwbPepDGvPP5CVv/aoKirj4nmfWVMdG61x0RJ5s+ckn1PXvQw699PHZ9bprfztD8Vuk/nz5qek37Xekalbx4/Prd1pWNgHRrnjMp/nvZ8LprY0a+PZfj2dnHzJ92Yfdeszyq7nZxjtunR+oebXj/NVZPdS4VofCfDdu7Z9Kzuhgw45amudzYBlmBunjhpk9YD4ztdmrfafGB8biY9dkPOP+u83PD4n0u+LOPybNb9v07/5mcy99s/t0wv9z2Xk/t2oceSTU97xmPJUqRx4mXZqWfT99ieO+WyiQs+iDTm8+mfZHaFvu2WPSaqWzEb7PzrXPTgW13u2cLVvP8Wf8M65+uy/Y+PnWD2n/L7Xw3ICk1nA6pb86e54JkZ7f9Zu/HtDNt1hdaz4XTbPGe04XW1Gt+9PLv2bP287vbj8/Jqh74xfJqxx22ShhV+mFMe+7QjF7RU8TtCZyniZ8ylX5d9jKdtGt/OZQv+3nvq035WJX6Xxr8fANVmTASdoVLDlTnTc/zZzS8n9lD2eKrMXzMLvz3/yMuPPp9+izrbzbGPZ/BrfytmePDPuRl122MLveSZMVFbx0RJYx64+ZGvnO1nwftzw7s+ad8fQCp4n/713Tfy/cFNl33M0zn/oy70OmftHueMSq8LJuTezn527tJ2e7uy+Z/kgaM2TMOKP8o5L/w51+3Vs/UPBd23yjkv+RW/ENNvyf79ms8msFYOG+np3Eudxgm5YNvWl5cx4qiEuXn61E2bDjLXpufOw/LOcvjHtMX6ymNJ//z6gVnVvkW0wbTf75u+TWOL+m8dk4e/6Lzr/nJM1C0/OvW+jL79ypxz4pH51UH7Zs/dfpLdfn5ADjniuJx5xe15dMLULvvYVs37b7E65euyCz8+Nr6bWw/ZIA11zWet2TInj+3os80b89alO6ZH88tqrXdU2nQipll35pCVW8+kU/+tYzKmA0/kmP3s0Gy5Qo98/+THl5+Xn/I7QufxM2aSLvwYT9ss9Hvv4SP9rEo8zgEAVWdMBJ2hYiOLf+btR57J/xv0YL4xaHQ2u39meev0gm/PrImvZ8DgRV3e6Hz7D9Pyl3Z9bCXMnpajzxz1lYGDMVFbL/Bfmfzos/mvEqORfzvl5dzfnt9MK3mf/nNOrr96zJfDuaMfzZET2vN6eRXS5nHOqPzfU5/Ob/44PZOrcRx5abu9XdjsZ8/ID3s1ZJPjxmZmZueeQ1dpfRZ4w4Y5/tGudAqtpdfs0Udl3eazCfTZK9d/aNC2tJn/wXXZs3fzgfF1cuSDXe2cHcuAxjdy8Q6tB5m3GPq8g8wLmT36yNbHkr775KapHkuWHnMy9tgNUt/8skt7jEh7fqRury/HRD2ywyVvlv1SUV1Lde+/xemUr8su+/g4Ky9csFNWrm9+ebzVsvtVfyrkts155Nhs0PDlv3e/A25t28uUzX0qJw9oaH1ZrhX3zk3tfZ2zua/koh37pGGjozJqehf5pOsEfkfoPH7GTLryYzxtM3v0kVmn5ffen+cGv/cSj3MAQPUZE0FnqODIYv6M97LTsaPyjUGj0vvGD8s7o0yRt+fvM3P2Ba0vQfWVUcoJL+T6T4sa5TT7Z94c+0z+P2OiDoyJklnPjWsaoS2iY57KuR+048w/Fb5PP3luXHo0jdR+9mTX+BNAkrLHOd8cPDYbDXspJz/6Uf40u+ivi2X49nZV817PsJ+slPp1Dsnt789PMiePnbBR00HcmtTU9cshdznI03Fz8/zQLVpP6b3tBZmwdP4ld7n2+b2HZc3mA+Mr7Zebp1X7Fi175n98Y/bu03yQed0c1abTUCwP5ub5oZu3PpbseEne9Fiy9Gh8O5ft3DoG6eyXu1zqx0RVvv9K65yvy675+Dg/Hz5wdAb0bD4DUF3W/PmIvFXQcL/xjYuzfc+a1NT1zK6Xv9u2z9vGdzJslwVelqv7j/O719pzwxrz1vA9skq3dXLIHe8vPy+R7HeETuVnzHThx3jaZm6eO2OB74nbXZg/LZU/dFA0j3MAQLUZE0FnqOTIYoFhwH9d9m4ml7MBKez2/CsfvzB+kS9v9o1Bo9Lvxg8zs/0fWWmz3s/Ak0e1XI8xUdsv8q/Pj1tgkLXwmOjJnFPw7VzifTpnRobfPSHH3fmnXFXiKPr86e9mh8Gj8o1Bo/O9kWWehaszLDjOGfxChk+bnT9NnpHHJnyUu8d9kLte+jiPT5qVj/7WRV6abWm7vV3S/Ey57cD0b+iXn135RtMfaObl1fO2TrfmPxTU9Mwe1364/PzhpFIa38mwnXs2PZu7Pt898QkHx5c6c/PESZt0zZeXWYbMGnl4+jcfZO63f26ZXu1b1MUs9Ic2Lw+wlJl1Xw5bs67pD/F9st8t7T1NSvss9WOiKt9/JXXS12VXfHxsfPvG7Lt2XevZf1b6SS5/o7jPrvkfjMgevWpS0/2HOWtcW39rmpU7D1lpgTPprJ9jHm77mXTm//nWDFy7Iav9/Nq8vVR+4bSH3xE6l58xk3Tdx3jaZqHviZuc9KSfVYnHOQCgKzAmgs7QgZHFX58fnx6DR+e/jn8mF320qD/uN+aeGx7Ovw16MP9x1oQ88ffK3p6v+MdfM+yyRZ+V6BuDHs7+L1Rq7jE3t1375cdsTNS+MdG0J5/P/y11Rpoh43LLX9t+mR25T+d/+m52GvzlWYd2+uMXiz642nL5o7LCDR+mPTexIr4yzhmXm7v6EZ+l7fZ2RZ8+nGM3aUivrc7Kc180/8f5eX/4bunZ8oeCbtnm/Ne6zuhtaTX9luzfr/lsAqvn0Hs+q/Ytoq0aJ+SCbRd8eZkXHBgv3Nw8dcoAB5kXZ/rN2a/lsaR/fv3ArGrfItpg3ivnZevuzWdJ2TJnv9i5312X9jFRte+/kjrl67ILPj7Ofz93HLJO6lrOVNOQASf+MZ8XeRV/vio/61WT+m8dkzFfLPntv2punjz5ey1nx6ipWyF73zSjjTdgau779bfTsNLOuXRCF/l86wx+R+hcfsZM0oUf42mb6Tdnv5WavyeumcPuLfK7Akstj3MAQBdgTASdoQMji2lPNI0+jnkq53+4qDHR/Lz64JP5P4MezDePG5dbyjlYWNCQpvHjt7PN4FKX80yGTa/USyP9K+898kz+q2lMtN4fpudvbb2I5XpMND/P3PN4/qPEGaVWuHZKprbnpDQduE/nTX4zmx6zhDHRP/+Wa64YnW8OejD/dek7ea+rnDhnaRvnLG23E92DZgAAIABJREFUt8uZk3HnbJ1e3TbKMQ999Q8rs/5wUPrW1SzdzyacOzuzK3L8eX7mzP6izX+EnT36qKzbfDaBFffIiK89hrbvcttmfubMntP2Z5DP/SJzyr1hjV9k9py2XcPcLyr5cc/LF18U84kw/4Prsmfv2pazGxz9UBv/qjl/buZU7AupMz5/iraIf5vG13PRdgseZH6+vMeeou/b9j5+zP0iX5TxjzB/7uy099Ny9ugjs07zY0nffXLT1I6eE6K4r5HKfo5X0/zMmTW7kD+Yf3rbwJbvr3Wr/TL3dPLf15b2MVFl7r+O//t2ytdlex8fK+jzR47Pdxuaf16sSW2//82IScWep6ZxwgXZtnttVj7o9rRxBpSkMW8P2zk9Fhi//LiN45eZjw7Jpt1XyNZnP582b5mWWn5HaJ92/pydAn7GrLpivk9W+3skzTr27zl71ALfE3vvmWs/WPCrojFftPPrZLG62td1ub8/z5ud2eU+iLb15+x5czO3w3f08vC7dAGPX206XjInX1Ti46jY10BBusrv6wAs94yJoDO0e2QxPy/c90T+z2LHRMm8z2Zl/Hsz88Kkz/Nxp52Z6F/5+MnnU1Pi7Db/fvqrebiCP6A2fjg5h136VLa6dFxOf7kdv6Quz2OieZ/m9HNHlzgr0TO54M/t/M253ffpv/JBy+fSYsZE+Vc+nfaXjHtvZsZ98IUzE7XX0nZ7u5jGicOzx6r16X/grVn4S2XO2MHZoOWPQ3VZ/fCRXf8PKPM/zav3XZoTDtohA9ZZOb0aalPbc6Ws+72ts/tvLsqot9p/loA57z+fOy8+Jvts//1suGbvNNTVZ4XVv53NdxiYU296Lh8t8XvE3Dw/dIuWZ8Z32+Z3eXVeMv/T13L/FSfnwB0HZJ1Veqaurj4rrPH/s3feUVFY6f/ek5OzJ+e7Z3fPb6dKk6pGWexd1FiTtWuMvcaoSWxRxN4bxIotGhMbFuxdQBGwgd2oWLGXCKgBAgR2Mtnn9wfTwKkwMwzmPufMPwrD7fe+7/3c961Liy5Dmb/3Bpmldv6pSLt6iHXzxtC7bT2q+bohkynwDmxImx6jiYi9R46Z385N2cOM3k0IcJei8K5GcM/JbEh+UWxdy+PRme0sCulN63rV8K4gRarwokqdFvQcv5qYO0ZuAbJTiV8/gyFdWlA/0Bulpt4fdbZTvbPvk7BhFl90bk7tyh7IFF5Ua9SZkSuO80AX/q+A7CxTsQDVPD+1iUXzZjJjxgzdZ9rwtvhrHOMSZV16TdD/34yZs5m/4hC33hoLal5f28WcQW2oE+CGzKMS9TqMYNXJZ6W+cCn9uCwDLPSN+vkm+nprXzJXZ1yMuRFqx7Yt5fphOFdk7pUI7hnK+uT0InNF/foa+5eMpNtHNfF3lyKt4EOtjwcyfVMyL61WdeRzbm5z3Vri1mkFt0uiCCn1HDGkdP2QeecEW1atYsuZxy4V3aJwfk1gQIdm1KlaEYVMityrEnU/GUDo8oOkWLNQFdwjZk04c2Zq14rpjOkShFzTf7LAjoyabrCOzJrH0p2XcWTcunIlJnJg+9mlf3U4Z17atj46AVUqP/QySCEmkRE4Yj/2TkpUcPlb2ngH8kXUsxJdPmfvGYavTvwip9aE49ZHAs5JZkEbD5RNp5HwJwooKWwEaynJOdueZ8yypdTrqAvukfCGq1sn0b1RZTzkSnyqB9Nt3FoSHxtxNOTcJ27tFIZ0CSbQR4lUU/8azT7lm6V7ufLSxTrMAvbbF/NJnttMb/e2W8L1gjyenNnMzCEdCK7ujUImx6NqMN3HRBB9r4QriEvNaz3G7eeXRfav3IeJbJg5mPbB1fFzlyJVeFKpVgt6hSxh37U3xStq+zlb/YqzqwYT7KfAo25/1l62sY3/BLa0vcZ70f4OJLjnJDYkvyh2xi4g7fIeloztQ7vmtankJUfq7kf1Jh/TZ+J6zj4vYU0c6P+yH65jrwsEAoFAoEWIiQQCZ1BSkYUqk2+XFkZiMScmclp5ivA7MVEn+KsJMdHfIu5yqwTpt5zGn1ZM9F/OxSThZkxINCGR4ed/LblxWcI2Vf+azpSFmnFuVkzkopgQ56h+/ZVzN1+wK+kBK6JvMWP/LRYeu8+PSc9IePab7an5/qzldSXUL9j7dQ3kvt1YlfL2TCm4FEYrbYh5iQSP/pF2vxyyJ+qf41nUty6eck/qfhbKsq1HSDx3lasXTnJowwKGtfRH5h3M6F2ptl2eZt9k35ye1PaUIpH70GTAdFZtOUjihQucPLydlRO7UcNDQbXuS0kq7vczRJXK6i7umgs3OfWnHOf20TD61PfCPbANQ+esZcfhBM5fOMm+iCE09JAikXnRZPRuHpTwtjfzxgEWDWtJZYUUqUcgbYfOZcOhU1y4nEzc3u8I7RiIQu5D62kxvDCyUKmf7GVUAze8WoxkXWwSx5f1oppcgiygE4vPFQqE1BkX2RTSlkpKHxr1DiFsdSQHE89z7sQWZnSphkwiQVatF2uual2uKp7FL6JXbXfcitV7//KhNNLVe1cJ653Po9hwetVxRypTENhpLEsij3L2/En2Lh9BC3836g2P4vb9/UxqF4iHezU6LjxrxCGcx8m5bQmq4o+/vx9+mo9XBc0lrkSK1L2i7t/9/P3wD6hCjbYzOFbEh6Xmeex02vh503jwt0TFJ3Nq45fUU0iQVvwPCy+W0Hlur3HpVKzpm+1c2zeSatqXzH6D2Z5u6vvs17alXT9Mz5X2hJ16A6h4eXolA+t74F6zC+OWRnL4zHnOHFjB8GAvpDI36g3dzA1riqy6x6ou+sgkwbOTbIwIYa85oqt9qfpBnX6QUTXlhf1daTh7XGG8Zt9k39ye1PGUIpX7ETxoJmt3xnDmQhKxO1YR0r4KMpkUr4ZD+P6ShQKn72Nsk0AqBfhr1gofPBT6dUTu6WOwjvjjXyWI4FFRPHHg4bG4mEiVdok9y6cw/LOW1A30w0OpwLNKDRp/3IsxYZuIu1OGCgpHtJ89+1eLU+alLeujc8hPnkszpf6sKFHUZ3K8YwROanXJJ0X+qek00pVTiufArVZGOMrn2vJOeCvrMvZwWvmy6UqDsBGsouTnbHudMcsQe62jLrdHFnB700CCPOszeMlu4k8fZVm/IOQSKYq6X7H7kXaE5HJr7xz6NPLBr0kvxi/cwP64s1z+6SIJO8PpV9cNqUSKW93P2XSjHHge7L0vqu4a7IlyGoRGsn3SJ1RS+NF08Dw2Hj7FhXNxRM7sQqBcgqxyRxYkvLRpjXW9ea0pl0mboCMLk94AedzZO4m2AXJ8GvVjxve7iU2+wtXzcUQtHUvH6kpkVTqz8PRr7TeW6Jydd2o6jZXauSQjYNAWrHPf/glsaTuOd5P97d+RRcma8/ObK2wa3RJ/pS+Nek8kYst+jiddJClmI5PaByCTSFH8uwcrL9q2wDvM/2VXXMdeFwgEAoHAECEmEgicQUlEFqo84g6dxUP7c64mJvojj+9XG49u85eQo/x9zUN+tk9pHcOfUEyUl5HOuqgzeL31PdHIwi6y5GZu6V63W92m/yMnK4ef7r1k36nbfL7wGO/rfra8i4kusPrWY6b/eJqAidEagZSxTzTyOWcYsP8xZ984ubblrbwuRFbiNIIruNNyXpLRS2L1gzV089BfFJT4lb0zeJXA3E98kcqr0G3JWTKMdeubZMLaeSKrOoSoZ9b1e9aVDXzVzAeZRIq8ei8WHntg5OV1AXc29idQ4U7r8IumLw/TtzPYT+M8k1Xk40F9qefhRq1+yzmdVrw82RwLrV34KlcexNf7bL3AyuLatrG08pchkcio3H4a+24bcU7lJDO/jQdSRQMmxxf//9fEhtZHUbEDS3/SOMHfbGdQRWnhRVyXVdx8Hs/cdn4o/92NeUfvvyXSU91dw6fehT/v3jqMC/l5pGweSn1PN2r2jeDUWylgsjk+sW7J661OI3FRd4IqSJHIK9NhxiFSixRKxZM9X1FLGUDzlnU0r2WlePRej1VDouAai/+j1KVJaR1+2eI+U3Dze3pWdqP+qD081M6fV5H09yz8236DtmFrJhy7jktnYXXf+NOoifZFuhT3LqtJNbHu2K1tS71+mJ8rXl0jiNs5lmbebtTqu5wzxeZ73tXFtPOUIpF50HruGSxm80jfxiBfbWSSQMYcscHx7IA5YrQfMqzvh/Soz/HTpjMJGsvRMg5vkXV1A19r5pciqAeLEp6+Pc+zr/F9v0CNWLIf620JFZF7nNDacs1e4EHvDc+dfk7UiYmWXyR53QhaVnbDr2E3Rsz7ji17o4k/Hc/h7WuYO7Q5fnIJ0ooN6B9+hHuucB9ayvZzWP86ZV5avz46hxxOTKqniyAikUiQ159MvAuGqFHdW0Vnd305le2WcsOKblXd/ZHelRUEDd3hUIGfqyFsBEvY45xdjBKcMcsKh+6TZbxHqh9tYXA1Hzotu6ob+3kJU6iv0EThGrKdp6pXJK/sQw2/JgxdfZKnRg7Zb2JCqKPQnIM+W+u68wMH9WfaVgb66oUs3r7eyH1bErr3XlF7Uf2CvV9XRy6RIK8xjB3WRhV32XltwX7utIy4HV9Rt4IXwSO3kmK4wKrTiZ/fgarKwp/1HriFl+qSn7NzDo3SiY8lEgmymuOJtXSO+xPY0vYd75b6eznXHx5mShs/5JU+Ycr+e2/7S24tp6OHxmbssoIUa9cKB/m/7I3r2OsCgUAgEBRFiIkEAmdgTmQRepJhsfdZk3CfNfH3CN9/nREbztN2/rGiUX9cTUyk+oUFi02JiaL55w+PHRxKuZS8I2KiDxZcYc3FZ+x56/OUbWcesibuLgv2XqXP8kR8JhT/jmj+OiWB7vuekmKPyw5zbRoSzf9NiOHvms/7Rn/mHRAThUTzfki0rm1br73CxEN3WR7/gO+O3WZKZBKBk6KLtMv7k08y7OQbnBZYoLyV11XI/4mlHSqiqDeOo6aeEmdG8bk2n71EgqLZHJLLXJFgjNfETW6MUiYjoO967ptwwOTejWHpgDrIZb4M3WVpRVeTcXYpnwXKkUqkKOsNYeN1o9cpvDr7PWN7NMJPLkX58SKumfA15cSMo7qBQ08i86T5+AM8MNGmmTuGUFFW6ICt9OUe68eoOoPEsA4EyDWvELssJtlkdVXcW90FN4mCJjPPFBGcqJ9FMiBATtVhu/QOnswoPtekV5FWaMwnbSsh/7A7Ky6ZuCDJP8+8FgpNGPNmjF86nmZeHgSP3ct9E/XOKmm9eU3Skm5UkUuQyJQ0GLOfJ8bGQhEnZmEEiWZzz1kltlE/XU8vL82cUNQm9LiFG1NVKhv6VkJRezQHDQQkqpsRdNBcasobTeOU1fPK/uPSOZS8bz6ad95439itbUu/flicK3IlSqWC6gPXc93YkFGlslrzelvq04N1pgqhISd6LEHayCQ+A9hitQfdAXPEVD/cWEo7q/ohh5iQ6sg0lxEV+27ieZkdmtRknF1Gj38Xzi9FvaFEppiOsFLw0yI+dpcikcjw7/UDd610/qvurqSTVtSgbMqcMthYC8VEcqrWq4OffzOGrz7Fc6PlzyZl0xBqKgrHTO1B67hcxgZRydvPsf1bFvPS5ProLHKPE1pHblAmObUnHDeb+qXMyNrNUF/9mVZeZwJxFi9VnxA1NAhF5d78aO0EfxcQNoL5r7TTOfutr7X1jFkmOH6fLNs9soCfFrXFo9YYDhuELiu4FEZLTSQuqXdv5i/tQ6BfG2YcL5722YDMPQyvpDkHurcnwmqFgDNxXH/mHP1GtycWtlsbZsQZb69cnY2soPH0k1akTHTdeW3ZJvDEy0tBjSFbuVfMNlPdX8unnvqoPR49f+RpfinO2fkprO0RoDljS5BVG81hs437rtvS9h/vlv0l9WjRzAdFUD/WXjExoPLPMrOJxl/i3oGIW9asFY7wfzkAF7LXBQKBQCAojhATCQTOwKzIwsqPq4mJ/vuK6WGmhSPKjc/41T6ldQzviJioZJ9ovBZfZs7pNG7n2Kue9ipneRcTHeW9iQn0PvyUS1nG52vO04f0nV08CtAxmu5+wTM7TfF3qrwugYoHm/tTRVGVQVsemR6fuTGMqy7Tv2YLGkuMC/q1Vanr6OErRSKrxPA9r43/UN5ZZjfXpBiTeTFgq/nkFrk/reazKoV1l3q2ZNZJE5KWrGOE1tVfpClbLuCiUdFGPufnfaR5vVfopKzW9wezwsecAyOopInW4dZuKTes8kHncHVtbwI1zlt5reHsfGTuF9U8WNMNd4mCRtNPGTgB1Txe34uKiuqMPaqPk6K6vYKOBi/7pcpGjDtixpGuuklEezcDZ6MM/27LuWpmHJWs3irubxtCkEITBanlbM6Y9B8VcDm8NUptmeRBjI227uozc//XhQ5WiQRpwBfstJAjJTtxKo2VbrQp8upSzbPN/fDR1FHZOozL1j7Wtvu4dAal6ZvqjIsx3jf2atvSrx/WzBUpPu3DzaSbyyNxWoPC6B4yNzosv2kmNHs+5+Y2060l1keDcMwcMd0P/fX9YG785Z9j7kcaB7rEjfYRKWUWlr7I/PJoxtS4DPPnt4ILzG+pFUsGM/OsdUr27AMjqKxLU/UFO8tAzaz+eQO9PSRI/T5hTkK6+XqqX3JojCZinExO7a/3lGmElpK2n2P7tyzmpen10VnkJ8+hqWGKM3klhu91UXl+3kmmNdLvi1KvgWwzseQXoibt8FjqKr3ptPxa2Uf3cxrCRjBvI9jrnP02tp4xywJn7JNlukfmJzO3uTtNZp4uEj0k10AsKpFJkSpq8sX2VPMRVfIMIizJqzLqkOtNEMf1Zz5Jc5rq7V55ZXp8d81kmnn10x/o4aGNnjMOS1ub685r6+xnea2R7Pv57ZZWP/iBnloRirIWX+99yi+lPGcXpKyiq49UI/qcTZLJRejdt6XtP96t9Je4BzPpmJloywWXCGul1LelFZupI/xfjsB17HWBQCAQCN5GiIkEAmdgIWLL3yfF8q9JsfxropmILa4mJlK9Ye5C05GJZBueCjER4Ggx0fszTtNv8xWGRxb7bL7MwHXnaLPgOH838nvvTYqnY9R9El7b8XbDQgSu4ccf8MPJB/yQeJ+IIymMi7xItyXx/Kvci4ky+XZJTGF0n+lnmX0jz8LF3v94mnSRim+103E6x/3i+NfJ5a28LoA6/TDf1FXg3WW5+Wgl+eeY21yhd4RUHEyUyz3wUfP4h554yiRIlM2Ze86EhyxtKwM1jjRZ5X5sfGBmlLxOZHZrL40jwo1W85IwlZhAdf87umqdRTI3ms46bXwMqVJZ3UXj3JBIkFXpw3qzz3PVPFvfC3ftxaSVoprss3Np6aFNsxJA7x/vmZ8P6qdsGRSATF6V4XsNnp+rn7O5vzeyKl9i6K/JMnAASmQKGoXGkG5ugcs7ydSGBpd3vp1Zfs3su+wS1VuVupkBgTKdE+7rvS/NrrsZW/rjoSvTILalWf4bRQQfEinu3dfy0Ozi/or9IwKRe/dgneF4Uz9lUz8fzViQUyv0mBUvcHHMuHQCpeobv8FsTzf2U/ZqWzusH9bMFeVHzEk21wOGTnkp3oO2YrTaAKq7rOqiFegpCJ6dZNUlt2PmiKl+eEbkAF9NP8gIHHXQZISxIqmHlI2ZcbqMruxfJzJLN7+UNJ912nK6OdKJ7Oeh6wvrosQUcMXgAkb5n8VlEzUsO4aJLVozdu9Dq8RbBVcX0tZdn8Lr823W/Z79KWH7Obp/y2JemlwfnUXhZaqbTiwsQerZgx+sTVHjbFR3WdnZQNzs3o5l5iKFvIlnalMlHm3mY3b5fscQNoJ5G8Fu5+y3sPWMWQY4ZZ8s2z2y4FIYLT2KR0tRkRLRXr/WyRTU++ag5SiK2XsYpktv7c3Q3S62kDiyP1V3DNZbGVUGbDIZSQSArCgGa6PVVGhF2CVzne7C89oam0AeQK8f7pr4/jwentrCsgULWX/iPnlWnrODRh8yHclX/YxNfb2RSqR49t3MSxM/9s7b0o4Y79b6SyYew6ysJTeWkBr6trcsJnKA/8shuJC9LhAIBAKBEYSYSCBwBlYLV9Rkvsnm0u2f2X7sJ9rMMIgG4mpiot9/ZflyU2Kio/xj3WN+sU9pHcM7Iib627K7pPxu7pfVPL37gJGLjxkRqkXzwYyzzLqeZx/xTona9HfuXbpGY10qrXIoJkLN9XMpfBl5g40P/2vdr+Q+44tpb7fVe1POsealo8P9lLfyljXZnJ3zEW7uzZl12pQUQUORyzEJEo9urHngaqM5j/hJdTQREyrSdWWKiVeP2Vzfu4gpUxYQmWzOOZZF/LQmKDUvpWSVB7LF3Dqnfkr0vH60btyUbiGbTad/Sd/OYJ1DWUGz2UkWnCZ5xE+qq3O2eQ/ebt4JBZB/jeVdvHWCJUXz2SSZ/SP53IkcTJBCisdHMzlpOByyDjCiqgzfQVsMctjnc2p6I90rU1mVgURauDRUP99Ib61zWKKg0ZR4C467EtRb/YTtQ6rp0iS5t1ti4eIhn1PTGmr+hgS3Lqu4Z9Vt+nWWtNOGdFfSKuyS+RfJ2YcZ/W8ZHt3XFnGgq59soI+PNrx7PSadsOZywUHj0tGUqm+kuHdZTaqxvrFb29ph/bBirlgWxeWRMKW+bkyaTUuXto2BvnpRx5gjFtZxcNwcMdkPG+mrK2N1vjliegCmbRuke5kqqzqSg5Y9+w4gk/ipjfXzq9oX7LAq11qGwSWDFI8+G3hh8dcy2DbIWy+0Gn24fIiYC66x6BN9SgtF0xmcLpOCl6T9nNC/Tp+XZtZHp5FLrC5FoXZcmIt6UNZksWuo/owkUdRh4glTcTJyOBfWBs8KTZgS76KRlhyCsBHM2gj2PGcXx9YzptNx1j5ZlnukitTVXfEIHMnBIseWdIMySZAFDiHKivB8BT8tpE0F7XpTnymJ1kUvdA4O7s+0rfo9URbAFzvNCelA/Wgtn3poxTZVGW02F5cLz2srbAJF8AxOWxukyppztqImITHmDs/av6+g0fTTxsVf77wt7aDxbo2/pPIAIh+Z/1uqe6voon1YUaENC69aWv3t7f9yEK5krwsEAoFAYAQhJhIInEEJhSu/PrrLJ5OjXVNMhIp9m4+bjKT09xWp3LexuHlvMklKfc35B2+4/PgXrj3N4uaLbO6m5fAgI5cnb37j56x8Mn7NJy3zN56+yuVB2q/ceZHFjae/cOXhG87ff83VDCsssz+NmEhDzmuWrDLeX+9NPkO42adPpS+n+TZVcXJPIh9YKyb6PZ8HzzK5/jST+9nl1OT5/VeWrzAmxosmcMdL14vqVd7Ka0cKbqyiq6+C2mMOkmZxuL1iywAP/UVBhZYWXgqWBXnET6mnc2ZJPerTb/42Tt17XaKoCQW3VtNN69yQyKk/8YQVr9YskxMzjurakN6enVl1x0LpilzcKmkTfsXCpYKal7uGUU33Ck5J20U/mfyd7Ien2DCxPdWUUmQffsaqK0WdOOpnuxnXrgOT9j/Tr1+qGyxtZxB5YeYZi68Ac2NDqKGtt89nfG/p5tPmekP+xTBaayNmyDzoutrUa09tPVJYZlCP5nPPWRVBQv1sA70r6h23occsvKHTtOH43YZpQlSkft8dL40zU9F4BqetuFtw1Lh0NKXtG1Mvnu3XtqVfP6yaKxajlKSzZYCX/iKjyUzOmviFHINUG1KfAWx5afnc4Kg5YqofHqz7TNcP8trjiTF5gZrD0bFBussLr74bLb/0dwAFN4vOr4ZT4q27vFTdYGk7vcBG2W4J1y0uWKeZ0VgbzcOdbmselBNndy7HJ9TSzRWJvCpf7i2D9AElaD9n9G9ZzEvrImE5EPULNvRx158RrRUAlxl5nNRFRJAgkXkxaLtxoVD+9RV09lVQZ8xBrOjKdwZhI5jDvufst77dxjOms3HaPlmme2QBl1YOpMe8ExTREuXEEFJTG2VVSauwi1asvWqeb+5HRc1ZSFqxH5uNpLUqKxzdn9lHvjHYE/ux6Zn5uuclTqGBQju3PBmyw5zyznXntWWbQElLG4SCxs/Zah7+0FM3tuT1JhJntvPyOTevOQqZL59HGRd1veu2tKPGu3X+ktMW/SUZO4bgZ/iwwqIe3b7+L0fhSva6QCAQCATGEGIigcAZlFhkUcDuTRoBiMuJif7gzrGz/M2EmOiDBTc4bWXQk0L+x8MTSUZTctn2iaH5kV8sG5x/NjERoMp4RO/pxr4nGsnKVO5Y+T0lKaelNs1LuUa18daJiQoe3iI49Ch/CTnOkIvl1RxSsXPDMX3kMYPPX+de47ir+ZbLXXnthPox24cEIpNXof2IacyYMcPCZyqDm3sYvOKuxYQ4V3pVCaDmyca+usgWuo/MjUqN2tN/zCxWbI3jVqY1a9Ubjo4zuCw1F0bZJvI5P+8jzQs1KW6dV2JJS6R+9D2feepfbE1OsNDu6kes761/VSmt0Ia58Xe4cyuFaz9d5EzsXiLXLmHuxJEM7tKYAKUUidyP5l8u5/hD6/pU/XwjfXQOwDpMirf0e/lcmN9CH53FileLRetdl8kW/0YG+0cG6SIjSD06s8ps+jhQP99EX29tBIkgxsZY9+Y568AIqmod4/5D2FGSG1NVChEdtOnurHW+OmpcOprS9k11xlnZN0AJ29ae64dhPQzmijyIb45a8ArnJTKlgT4doLJ1GJeN7kP5JM9ppp9TnVZw2+KxwXlzBADVHVZ18dCFrq836YRph31+EnOaaS8N3Wi39EYZOIXfcHRsTYP5FcxMU0qu4uQcYlQ1mU1iIvWTdXzmoV/bp1ha210GFfdWdzFIaSWj+rhop0dVsr39nNG/ZTEvbVwfHYHqNis6GUSmkShoPPNM2QqczKLizoqOBmPYjfbLUt5ec1T3WN+3Mop/D2G7q6ZscwTCRrDwVY49Z9vljOkwnLdPuuIemZ88l2ZKia5MFm3L30CpAAAgAElEQVQyAN6w96vKujXereNyK/YFZ+Ho/swnaXawzu5172opil6xlJnyyow8aE5+UX7mNRS3n2szIa6UQkFVKmu7e+rO2Q2nJVoQq2SyZ5g/UveOrDA6CN91W9rJ53yb/SVFH1Z494+0IsqpY+xXp+BC9rpAIBAIBEJMJBA4gxKLLP7g3nGNYMflxETwW2oK9ccbF/W8N+k8G21KE/KuionyXUZMBAXs2mQimlToaRaU1gFcijZVvbzHJ6HWiYkyki4i07TntyVpT5fgdw5Expnoi1PMdbmw9+WtvPbhdWwoDZQy3LwqUtHbuo9nBZn+okDmw7A9VqTucDLqjFgmNlbqy/nWR4p7je7Mj31sfi1N38WwKnqHkaLRdE7Zw4etSmV1F73T5KN5Fyw6TdKjPjd4oTaCAxb2H7VhOPliH6lMgYdPJQJr1qVxy470Hz2DZZsOcuZ2hk2XflkHRuodgJWGsfu15Xp/11Vf72Zzkm2s99fst7TvpkUxpJK+3so233LFwoaZdWik7gWq1G8Q29It/A2gaMhyKe6frqEky0TB5TBaa1MeVGhNuHHFSFEcNS4dTan7ZjDbreqbQkrUtthx/TCsx0GDueI7iG1p5n9edXcVnd31f8+j7yZeGv9BVna2JeIRTpwjmiKmLKO99nWzoiFTzaT1UN1ZQUdtvZWNmH6qDGQI6TsZajC/5A2nYG0mkoKrBilMJFI8+26yGMUkN3ac/rV+xf5EGu1o1yRrx+d4GjjyFS3mcd5kl6l5cWwZ3wwfwuBBgxhk9jOYIcPHsjIhw2IECpvbzxn9Wybz0rb10SEUXGOxQeo7icSNrqtT7SwIzOfCkk4E1RrKVguRLawhc8cQvHVjWE7dSfHFUmWoebJzGEHKAHqtu/2nevEubATze7xjz9n2OWM6DCfuk663R6q4bSBClFYazh5rMh/mHiO0tly3L1hj+zkNR/dnEaGpgqZzLO2JWRwYUUWfMlPZgvkXzP9G+ZjXmtoZ2s8BX7CzlEJB1Z1VdNY+vFE2YcYZC52Xn8zc5grkjaZx0tiPvuu2tJPP+Tb7S/IMorHJ3Oi8ykJUKA2OsF+dgSvZ6wKBQCAQCDGRQOAMSiGyyEy6wD9cVEzEf18xI9zE94w/wTfXbQt1U5Cdw42nhemrin+SYkwJjaL5MPIxVwx+9l6mFX/3v6+ZaarsE87x/Rs7iYn+yGPdd1ox0VmWvihBH9pNTKTm4qFT/J8JEVaneAvpxUpRTkvjSp35iN5TY/nXpOP0PJlnphy/E78rgb+GHOX9aZfZ+1tpCmwH8jLZffAireafwGdWIp9susORl9Z0yO9EbzthIk3gMb645CB3fHkrb1mSe4Gwth64t5xLktWP2Qv4aVFblDoj3Z2ePz51yZQs2Te2E9o+ELfiL5YMnYLebZl3xrQ6xdAxJpHIqTMxzmJYaqtI385gP300Acuv9zLYPayy7oWa/+DtFh1XeScmUlsbHl4io/qo3dx79JinL1+TYxePSlEHoMdna3loaSBkRDHE3zA6i2319hu8zbLDzkC0IZHIaTAtEfP+wXzOzGxiU7Qk4O0Q9QsulsBRlUfSLP1LXTdrUiLhwHHpYErXN1Lcu1h6yWxIydpWiz3WD8N6nJ7R2KYx9nr3MAJ0f1tBU1NiBMNLD3kgY45Yvrh12hwBtJdu7trUC/UnE29ysKp5uWWA7mJfVnUEB8ogd1/x+VV7wjGro+2kbx1gIExQEDzL0oWZipvLO+guJRUt5mHhvsxB5PP6ySNe5ti2m+cc+NpgnEqQBnzFfpONlcH2wT5mnP7FPjJv+m95aeF8YXv7OaV/nT4vbV0fHYQqldVdDSMTedAv0s4Kp9xEpjaSI28whQQ7bHx5iVOorzsrSfEaHIWhLkCdfoSx9RVU7LiMqy5z8+8EhI1gcY936DnbLmdMx+G8fdJV9kgD1C+I7K+NXCPF47PvLds/QG7iVBpqx4uiAVOsVS84AYf3Z9oWBmhTSsmrMvKghcNdkSiVGgGGFYItl5/XhZUrKqDpboX9bBYVd1Z20p+zG001LhAy/I3U1XT1kFF97FGjKbLfdVvaued82/0lRSKfVWjDwqvWt4p97Vdn4Er2ukAgEAgEQkwkEDiHUogsCh4+Zva+FKbtv8+JTDsJXOwWlUfNtZgz/NOEyKfmnnQLhpX1ZJw+XyiqMvJ3gnal2f53/shh1YoYE22QxMo0O7W16hfCFxf+nfcmnmdDSS5+7CYm+oO7x02lpoumStTL0vWXM6I9qTL5dklhe/5t6R1ulDY1W2n44zcObksoJs6K5p8LU0iwaHH/zrEd8fzVaF/E0jfZATce5a28ZYqKO+t64K+sw9gj6TY4+tU8+aEH7joDXcnHi6+5lIO7COpMbsWuJ3zCELo2D8RLXvyloZSKXVdxy2j35nNBl4pMgkTmy5Adlp6SWUdOzDiq66KUDLQYpYRXexj+oeYFncyPQVtfWOgzNS829NL3k6wi/SMtXcraiCqFZQYOwFbhly2Og9zYEGpoHLRSn/5EWlIGFal3AEOi0izUIZ/z85rr+0xeia/2WdiUVLeI6KB/Ldt83nmrXpcWDVlek/GxJbjVzDnBpPqaV8oyDzqtuGXFy0PHjUvHUvq++cjKvgFK2LbFKNX6YViPFJa1t6UeOcSE1NCH35dXZ2y0cTFCztFv9C/2fQawxdKccuIcKfzd+6z5VJ/izLzDPpvDYwJ14kGvPhuwQ+ARGyk+v3z43OqcC6/Z85XBS3p5dcZGWzp8ZLLnywDdpWTA8D043d39+iSLulfHXSZB6t2YYRuvWX1Wzj0yxuBCRoLEczBRpoZT/nnmfqQoNofMOP99P2WNpfyfNrefc/q3LOalTeujw8hmz3A/A8GY/cVErw6Npoai8ALPLoEiby/XR0OTSHDrEMFN3bDLJHF6U9w8WjI3yfUi7DgOYSNY3uMde862yxnTYThzn3SBPbI42YcYFSjTjfFWYZesGOO5xE+qpzvXyRtNtToSiuNxfH/mJehFm1LPnvz4xIJM+GYEHQyic3r1/IFH1k4uF57XwNv2s1XjxwzqR6zroU9xVnfiCQsPTAqF+z6KQEYdMjab3nVb2snnfJv9JfmcM2h/ZZtvsUFLVIi97Fdn4Er2ukAgEAgECDGRQOAcnJZSy/nlUWc+Y9hM49/117nXiLGTI8DuYiJ+J26nCXHE+JPMvG8ns/jXpwycWtg+H8y/wan/luA77CYm+h/340ynkvv7ilTulyb4lRPGuerFPT6ZEM1fQqLx3PycX0v9jSVHnXGfzhON1fcYA89bsmp/J2b7CRPinDi+vGJ/lVR5K29Zon6+hy9rKKgyMJIHNhrW2buHGuQnl9NgqqXXaq6CmpzHyexaMpK2BqGtpR6fstboE7Ec9n5pcClW4T8suWGPK5F8zhs4sdw6rcDSfWnGnuFU0V5M+g9i68+W1m8Vtwxe8loTHt5W1M830ddb6wCsRehxSw7AfC7Mb2FQ7+XctqHesspD2WnxTjKL3UMNIl+4d2GVhaeR6p8j6e+tjxI1zmKUKM1fMkxb5T+EqAyrfq0ImUfHGoirevKDVbHdHTUuHY3z+gZK2rZmS2Pj+mHwm0XmSg1CLDnL804xvZFedCGvNZZoo378fJLmNC2ylliaU87uB/XPm+nnrY/QMuqQmQuJ/CRmBWvrreQ/S66XwSV08fn1CYutfSKbeZCRgQZpE+qEEmtJf1BwgfkttXV2o33ETSenUVJxyyByVOFaO5w9VuoTi0cmklUZyUEzkaeyn93i6sXznDt3zuzn/PlLXHvwynJb2Nx+zuhf15+XjqOAa0s+MYhM40anldal57AK1W3WdPdB5tOdtdaHRzNPZhRDvPUXT/J6k4nXHGpzL4TT1ktJo0nHKQ+SXXshbARr9njHnrPtccZ0HE7cJ8t8j3yb/KRZBGujhlgrgMg5RmgdfYqzRtNPudC8cHR/qnm+oRcemnVB2SqMS2a/Xs2T9b3w0q4jMm96/fCghIIe15rXUNwmqEnosdIJBdU/b2GAQSTE0YctHDzVaUR9UQl51a/YZ3Rje9dtaeee8232l+SfMxDeK2nz7ZVS2kIlt1+dgSvZ6wKBQCAQgBATCQTO4R0WE8Ef3D15Hk+jIoNjdI7PtotTw/5iIsj86SqVxhuPtNLztH3yZ725fAV/TTl9I5+X7LWYHcVEj+KTTYqJ/jr7GrGlscYcPs7VXDlyWhNZJ4bWMVll6jAreHCTRqHG2jKGdnE5FlNP7N10jPeMtVXoGRY9s6Tq+p1H918QeeIeK888JznD8iAob+UtOzKJn9oEpXcHIq7Z7iDLi5tgEP5bSqURB6wODe1w1CpUFv0Eal6dDaO91vGmbMacZGPt8IotAzz0l6RVR3HIHhVVpbK6i7vGiWVFeGz1S6I+D9C8gpMR8HlUkVRf6oxrHN0Vw40ii29haiGtM1Tq1Z8t1j66s5Ksg/oQ4VL/IVh81KdK5buuhvU+a1O9qwzfjaGPUVvv60XykTzlx57ueidfgykkWNg8sw+PJlBbD7/BbDcQLBlvWyiatkqKe9fvjKeXUT0hae9uTj40tvG8Yt/XgQb9up0XFvu18PccMi4djdP6BkrctnZdP/QYhtOX+g9hhwVnef75eXykvaiSudE6/JLxuaK6w8rO+pfAwUVSoWVzL2EPe5OfFT1HOLUfIPdYKDW1TuKKfdhgJtSQ6tZy/Ut0RQOmlsmz/dclnl+Zh8footFIZF50WGZFRI60SPpX1Kd+HBvj7OgTRVPwSSQSJB69WG9lSKi0zX3xMPhd5SeLuOZMBZjN7eeE/i0H89KR5CVOpYHujCinZuhxO6XhVPNkx1CC5EqCpyXYLzpJXgJTtK/iJRKk3p8T9QYouM7Krr4oao9kv0UB97uEsBGs2+Mdec62xxnTkThxnyzzPbI4Ku6u7KTvd7/PrRJAZMeM052FjI6p/IecPnKWx2XyNsDR/WmY/lBKpa/3YVZ/oX7OlkF6sYe8xigOmmvjcjOvC7HZfrZAbux4vRijYh82PrfwwOHnrQzyl1PzmyPGRbLvvC3t3HO+rf2dd3oGTTQ2oLRCWxb9ZPgXcrmfuIe9yU+LnSEdY786Htey1wUCgUAgACEmEgicwzstJgJUv7J9U3yx9EmFn/enn2etBaPNGtIdICai4BUzv40xIpCIxmfjUyxl1rGIKouVKzUCjPHxjL1ekrBE2FVM9OLkOZNior9MSGbN61KMRQePc/XrJwzWRcGKY/jlsn17p864T8cJRuo6Pp6xNyyU7Y8cVq80nmbvg/AUkswNFVU2UdtP4x4SrRuv7089xehz2WYN9vJW3rIi/+oS2ldUEjz9JCXJSlhwKYxWFfSXhx59N5V+LSk1uVzbOIIWVdyoWLMLc49bSoeVxua+mpDgJl/cFX25pmg+l3P28EGkb2ewn9YxXo1Rh8w/aVM/2UQ/g5//cq+hR7WAa4s/xq1CK8KKPfNM39xPd8krqzaaw3b1vxdzAHZfi8WHZBlRDPHXv5wcY+HlZPF6f7XX0PtWwI2l7XBTNmfueYNOUT9nfS+9A9S913oLaZLySZoVrK9Hl9UGjkwVKRHtcavQgvkXis1kVQoRRdJWXTAi9lCTtvcrgpRV+XLv2+5addoOvqgs012QjDxg+DOm+9Vh49LROKtvKEnbOmL90NfjjE1zJY/TM5roxB2yygOJNJUOIm0rAw1eI485YjCnMqIY4i/Df9huDPV2zuwHUHH/u266SxnzofrVvIjsT0XNS3TZh1+zv0xymeSw7yt//fz6yMr5pX7GtsGVdKkP5PVCiLYilIlh6g+Jx2d8/9jZooVir/AlcoKGbOO+VcfPAi6FtTKIQiOn/pQEp0ZbsL39nNC/Lj8vHUzeaWY00UdWU368iJ/sUAx1+lHG1pejqD+WI2l2nCeqW0R0dNOVV+LegYhbeaRu6EdlZTUGb31o3xQ3Lo6wEcDaPd5h52w7nDEdi/P2ybLfI4uTzvbBPrq0a+6frrFiv8zk8JggXQpXNyOi28zDYwjy7cfmMhEuOro/C7gU1lJzVrAcaUX9LJL+WvtP5kYbU4L68javgbfsZ6vGjznUPFz7qS4tm+WoTypS1/XAx70lC0xFXHrnbWlnnvNt9ZfkcGJiXU06RCnunZYXTc2VvothH8oJ+FKb7tGR9qvjcS17XSAQCASCQoSYSCBwBu+6mAgg7zVLVh7nfSPCHMm3P7GnVI7N//EkwVREnVKIiYCM69eoMf7ttnhvUhIrX5Qm55eau6cuUFFTRsXq+9wtaTAWu4mJ4Jfki/zLlJhofDzjbxr/MlXaUyatO0evnY+5acrOcOQ4V+UQtckgLV3oWZaUqn/swH9fMSO8eH1jqLrhMfcs9UneC742mh4wlk+OZZqJuKQm5UQybsaEe1OTWWXOm1HeylsWFNxiXa9KKGqOYF8JHZbqB2vp5qG/KHDrEGF6zjiJghsRdPDSpqmQETQ22sJLeH0Ib0XzuRh/qJTPeYOc9W7tI0ixqZ753Nk1i9Dvkoq8oM+JGUd17Qs1n/5Emu0HNY839MZbe8EeNJpDhl9W8BOLPlYibziF4kE88k9Pp5HS4NWdTc5Q42XXoUphmc4BqKR1+GWLwrnc2BD9y0nfAWx5ab7eTzf20dc7cAT7i/iXrrOknRJ53YmcKFKvHPYM99U4CGVUGXXI/DjITmBKY4XOkdl83nm9I1P9gLXdPZAFfcPRYi8W3wrnbizFQcE1lrb3QF7zG468Kf6fal5sHYS/pn7yuqEcM9RWFVxlYVvj/eqocel4nNM3JWlbx6wfGlQ3ieigd5Y3m5tsPiLXqyOM1abCkPnSKeKqyfNfTvRY3QtZqU/ROZV1aBSBcne6fXe/2P7lrH4AKOBSeCvda3TvL3aaGXPZHBodqLts8+y9nqdlsn0Wm1/tllk1v3LPh9HGQ5+2YviOh1ZEllTzYG033SWQotF0TpWBMDD3xETqKCvTYUwYEZHxPLB2r1A/Z2NfL92FjFQZzKwkZ0qJStJ+ju9f15+XjkZF6rqe+GpT1FRoyYILpRwX+beJHFIThVcLpsdn2Fnck0nU5xX1KU8U9Zi0ZzvDqyvw77GWW3bXYxXw+vlz3rjiawNhI2iwbo931Dm79GdMR+OsfdI19sgi5MYSUlMbycw6+4dX+/hamxpJ5k7nlXeK1fs1B0YG4tllpcW0147B0f1pKCx3p9sacynLCri2tJ0mJZoURaNQYtKN/3R5m9fAW/ZziwUXS/nwrIDrS/6jE3W799mIWfM69wwzmirx7f2jmRSW77ot7cRzvq3+kpw4JtTV2oCedFuTWuRvpO/4ggC5D/02PUWNg+1Xh+Ni9rpAIBAIBBqEmEggcAZ/BjERoP7lZ6YtMS4o+se8i0TczithWqp89m6OM/K9pRcT8cdvHNl5kv9n5Hs9Vt0z80rcHGruX/yJ+hML2/j9KWcIK82zGjuKiX67m0Ido6ndCoUlbWKNpQ77H08TNRGNzI0PR43z/Cy2RCbyT0MhyowrHCxzg0fN1egzmrETjWLRZcKTMnhiRVdnXLpCgJEx97dvUzCbYU/1CwsWG48Q9JeQGJof+cWMEV7eyuts8ri6oiv+8op0WXmz5OXK2sHn2pDzEgmK4JmcLeOxmrnjc7y0F1fyIIbvfGb+sik3kamN5Ehk7vxniekQ1Tkx46ihuRRUNJ1NktX1VPMidgotKsqo3PtHA+dwPufnfaR3YHW25Dh+RdRgb51DL2jMkSLOyfwL82lZQUHzuefeFihkHmRkNY3z2qMPG1+WtuwGP/F8E321DkBFHSaesLRD5XNhfgt9vbus4q7Zer9h51C9IzNo9MEiURzyL4fTpkJhqrSif1nzAlLze4FjjphxMuWTsvpT/YWnvCojDaJEqV9uYYCvjMrD91A8Inn+Kb2jWVqxL5uNeG7TD42mpsJUCPTX7B4WoKmfnJohMUXSgOSdm8tHSgXN5xnpVxwxLp2Bc/qmJG3rqPUDQP3zZvpp54rFtIZ5XPy2re4SxbdLBD+ZnFoqbi/Xp2JQ/mexwUv3XOIm1kFe4RMWXy9eOmf1A0ABl8Nbay45ZASNM+P0zT5OaF39Bd0nFtrVkRSZX9bsb3nXWdXdv1AIJXMneFIs1r0vyOHIGL2AquKgrViRLcX+5MQxsZ4bDSefsElgqH4SyYBKMp1TP/CLKEwF0XIMJWs/x/ZveZiXTiArnqlNlLo9vNrQKAuRDcygfsmxaa3wUgTSa81VO6VMMySP+MnaSACFkTBq16uBwrs9S67YUxyn4lnCMgYH+6GQSXGr0YOI5JLE/nEUwkbQYe0e76BzdunPmI7HOfuki+yRBhRcCqOlNvKWog6T4i2vEVkHR1JVKzD17MyqYh2ufrSJfpV86bW+7KKgObo/9ekP3WgfkWLSX6p+tpvh1QvPgtIKjQmNTTfZJuVtXkNx+7kGIcYENDahInV1F83ZQYrPsD1m0kqqeRg5gCoVGjDhmDkF4rtvSzvrnG+rvyQ/aRbB2jbx+pS1hv519RMiBwYg//ALdmjaypH2q+NxLXtdIBAIBAItQkwkEDiDP4mYCIDfMonaYZjSyCDaT+gJ2m69y55Hv9lwWFVxM/kKNUNNlLe0YiIAVQ67txYVq2jFDtXW3uH4axtcF7mZ7NibTOUJ0Zo6x/PFuZwSiqg02FFMRH4aofNMt+U/lt/j1lvfV6ATc/117jXiTHWenceVOi+Hk6dv8Om82LdS0f0t4h63SxrpyZ7kpjEpvDBV3nuTTjH24q8Wx6L6V/3vFInUMy2JhfcszIyCdCaa6b9/W5oL5a28TkNNWsJsPvaWIvXqzcbSpGbMjSGkhkx3USALHMMR+9/u2ET23uH4y2RUbvMlYVEXyTBbPTWPtw8hUC5F0TCEaBMvHgHIPcPMpgqNU+cz1j2ypt3ySd0/iTb+MjyajGGP4dM/VSqru7hrHCfFXu8ZQ3Wb5Z00L9rklflyr4HzT53G3q+DkAf0ZYPR54XZxE+qX3hBJq/O2GjzacUslt2ArEMjqaZxwskqD2ePpTDfqlS+62pLve+xqoum3rIAhu02/AMZHBhVHblfT9YZCVddmGJDijZ8vPFw4moyEmbS2lt/4SVx78Dy2yrd/z/Z1A9fRVWG705/67dzY0N00aWMOSHVL48Q0kiJe8vZnDF2V6hKYVk7bb9W4WvDfE7ql+z5KrCwXx+aGG/2HpdOwhl9U5K2ddj6AWQfGkWgXBulQYpHN9MpDbIvRdA1QIZEIkVZbxhbb5ubJUWFOpVHHNA7YXMSmdpIYTSVBjipHzSkbxuIj0Yc5fflXoyvQvncXNsDf207KRow5e2QXM4j9yyzmmnml2d3vjc1DwF4ReLsNoXObZmCmgO+54o1Sy0URlj7j9K2CAcOQcWdtZ/hW7EtC6wWN+Rx+du2uGmjx1XtxboUJ5e+pO3n0P4tH/PSGWSemc/HmnJKlXUYviPV9vGdfYOobz7CR1GFbkuScEwyJxU3IwxT/RVeFraYfcbEelXCv3J3A/2q6s/OEokUn8Hby1wcUYiwEfTYssc75pxd6jOmM3DGPukye6QWNQ/XddcIviXIqnzJXotRodQ8Wtddn4aqeLpXdToxExrh3nAix8sktasGR/fnm0OMqS4rFA2EHjMuTlE9ZPfXdTTzqRKdF5tf88vbvIai9rPUfwhRdtgAcmP00RDNpSRTpUYy+N8Kqn+126K49523pZ10zrfVX5J7cASVND/v1mkFtw2GUd6FMFq5K2k666xu/jjSfnU4LmavCwQCgUCgRYiJBAJ783s2J5Ifs/mswef0bXoYTRF0lL+EnmJkQrGf13wOPswv9Qsc9etX7E4qfXmOPLHFPaEi5fwNOsx+WwTyl5CjvBcSS9Cqq8xPfErsg1/J+K+RcuflcOZiKlN/PKlLkfReaBw15x3Tp7qyl5gIQJXL8ZiL1JpUvF2i+b8Zpxm4J5W993P51UhmLVVuDpdvPiFi1wWCZ+hFF+9PPc24c1n8aks5bBw/H8y/xLIzRX8+8kIGj0wKbf7g4blLfGhKnDU+nqEXcouInzJu3qDhhGj+EhJDvX0ZhW1tx3G++exjNp95yLr4eyw6cpNpu67Sd3kiFSdEGx0/fwmJxnfrCzMvi5zLr48f0HNmYVnfCzlGw0132PMgz8iY/J1Hdx8yatGxYlG2ovlgRhILblkx3//4jS0/FP997ecYfc7mWfyO8lZeh6N+xZXIUTTz0VzquHcg4mbJ3bG5N1bSzc/QcdSNNeYTwDsc9bNtDK4so2KHxVy2MHEyL6yiV6AMqW8bZsRZyrWu5uneEdRSSJDIPGgbfsnsq/j8pydZ+80nVFUqCeo2m0OpxTxj6dsZ7KcPkT3e0otE9Us299OkkXFvT4RBrojM03No5eVN+8Wmy1ToOJQhkcio+vk2HpuprMWy63+SMzMaa6IMSfHs+aPZ7wUgI4oh/gahzGMsrW7pbB2kichULIpD1tl5tPHy4uPwc8bXSNUDNvWvjEwiQRowiK1vpepQ8TxxMT2CFFRqP4x+jTSh2T37sClN8yMFKUR08kBeL5RjRhyYqvtr6OYpNRJ5Asi7y7ahtVD4d2BhsombAfUzNvTx1PRrO5YZxFd/c3ImLTzN96vdx6WzcELflKRtHbd+5HNmZhNdRC6pTIrUvQ1hF97uLdXj/XzT2A2pRIo8qA9rrfBUv949XON0llNvSoJmj1OTtmc4gQpveqwrnkpJ+8ec0A8a1M8i6a+Z+4qms4xE0VKTkTCLNgaXEbIqX7GvLC/VNPOrtkKKROZO2/CLJi6+nhP/7acEan6uwfBIbthycHuzky9062I1Rh2yp3TBRnKv8V2PKrjVG0pkiqVKqMlImK3rM6lnUyYcfe78s06J28+x/Vse5qVzyCdl8xDqatKCSH3bMGn/XSvtWRUvzy3HsrQAACAASURBVEcysUNV5F6NGL7hikPTcr6JGqx/7a5JrRNr17BOKlKWtS8qWJJI8R28nbKVfCFshGLYtsc75pxd6jOmU3DCPulKe2RhgdgzvJLmYYQUz17rrYrGl7X/ayrLNb8zKMpgLVOTFhNKQ48aDN/1uIz9BY7uz1yS5rXEXSZB0WgKCW/9zmvOhHfATy5BIvOhzYxjvLDQIOVtXhe3n927ribVHu86so8TWq8wmpPsw6HsNBYy5/V5InpUwb3ROA5bIxZ9521pZ5zzbfeX5J2cSgNFoRi9ekiMvkwFd1jfryrKuqM5aNAXjpwDDsel7HWBQCAQCPQIMZFAYG/yn9B3grGLc1s/MTQ59KbUL4zyblzjQ5NprawvS1uj6a8stUUOiadS6B1+nA9Mfnc0f514nMpzE6m/8DTNF50kaNZxJKGGQpJoPph2hnHns8j5by4JJ67SYrr2/6MJ2pVut+gmvzx5wrTvT+JpVGwTzfuhsXjNSqDBotM0/TaR6nPikIwv+rPvhcRSffUNtj8tgQVsh/Hz/syrHDV7F6rm3qXrfDTVuPDnvYkJdNlxh9WJ91m48zw1J0Xzl5Bo/hl+jaOZ/7NbOUszHj85nl26aE92JvvZE0KWHjcQusXgOf8MHddeZFjkZQZ+n0ybsLjCVHFFPrHUWHeHWPNPR4rw25N7dHir76JRrrjHVSPCvHehvHZH9YRTkUuZPWE43Zv4I5cVvcBwr9acniNns/70C8vGdcED4jdGEDYjlJGDO1LX8AWa5vV9pY/6883UmcwNW8zaI7fKIBpTPikbBlBdqSSo6zS2X0p7a2/JT7vGoeVf0SJAhiKwI7Ojn1g3x9TpJIZ3orJcgtSzAUO+P8+rIo2Ww+MLB/l+zhe0qixHWrERgyPiMaZPzT0eWigAkUiQBnzBTouXVSoebOhbmE++Qhu+vVoAqHl1aR2f13UnsNcarprVI6l5cmQyrXylSOSB9Fh6ihdFymV92fVFusPKzm66l8LWpCPKOzGROrp6D2GHxZeYah5H9i+8kK3QkrBLhfV+fflHvqjvQbUeq7hkxolUcDeSz2sqkMrcCR5/iMfaAuY9IXHV5zTwUlKj9zJOpeVzc+1nBMglSJRNmH4qB8jj+pqeVFZUpvePd4yPEfUzdn8ZhEwiQRb4FXs19cl/Gs+S3jVw82lByL77ZtpFReoPvfCTGYql1GRcWMugOu4E9l5roV+x67h0Jg7vmxK1rYPWD9UtIjpq54qC4JDFjG3kVvhq+b72LxTwNH4Z/et5IJXJqdJ+CntuW+mp1qUSklKx1488UoP65xgmf+SBW5MpxJl5Me/4ftCSw/lF7fGWSZAoghi86ZbeMZz/lMTVwwj2VSBXSHX7k7UXdA5Fnc7Jb7tQRS5B6hXM8HXJBikNVKRf3sX8AQ3xkkmQ+X/EV9+d4pmNcys/eQ5NtekMPD5jnUVVpmNRPY1hxn8CUFRtz/h1J0g1OgyzuL5jEu2qFEbQklXtyOyjD8skWkSp2s+R/Vsu5qWzyOfBoSl8HCDTRCgKpEPo95wwPriAHB6djWLRqHYEVpDh13IEa8+8cHhd8uInUVehjYxWkxF77S2OU/Pox15UNDiLSz0+YkaCxbAmjkHYCPazERxxzi71GdNJOHifdLU9krx4JtfXpmN1o93SG9aNkVdHGatJ4+rWabkm2kged/ZO4uNK3nw06SilCQZmNxx97nmVwJw23khlPrSbdwptoBB1xkU2h3xMZYUUacUmDFubjHVBRMrZvC5iPytoMf+CneawmueHQ2jsLkUiU9Jo1E7uGNg52bf2MPljf9xqDWT9NesV7++8Le3o8V4CfwnZ8UxuKEcikRE4+iBZALmpHJjcBl+flkyNLb4nO3IOOBoXstcFAoFAIDBAiIkEAnuT/4S+E6P5a2gMf58Yy78mH0Mx9Tie0+PwnRFHpVknqDonnmpz4qky6wT+M+KoOP04HlOPoZgcy78mxvL30Bg+CIkh2G5iomg+CI3hHxNjkUw+htvU43hNj8Nv5gkqz46n2tx4qs4+QaWZcfjOOI7ntGMop8QimRjLP0Jj+GB8CcVEWv7I58b1x0Tsu0qvZQl4TjCV9uht4YL/ovOMOfqYs2+KmgaqzNfsOHqVDvNO0PlEKcpmlP+R+TKN9Qeu0HVxAu4mU6wVFUdIZp2i8+ZbRN7L47eS/mnN+DHsL6WJ/gqYGYePwdj5fxNj+FtoNB9YFBMV8mtaOhv2X6L13GP8nwXxzoerb3LQMFd3mYqJ4hj5kyvkOCtGQS6Jp27QK/w4f7MwVv45PZGOW+6w435Jxsr/eP3wEaFrTlF1aiwec0/Tfdcjiy9Qyn157UnGLoZ/qEDpWRHfSlUIrF6TOnVrUSOoGlUq+eLt5YZC4U3bcAvppgD18yiGVlMir+COp48v/lWqEhhUg1p161K3Tg2CAqtSOcCXil7uKBRuBH2926o88vYnl3sxK/imc0085G5UavQJ3fsOYEDf7nRs25AqHlKUlYPpMX4tJ2299eUN13bMoEddT6QyBT41P6Jz77707NKWpjV9UcgUBAT3ImTpTpIem/ZcZR0YQRW55sXZyAPWvUjPv03U2Jb4y2X4NepMz67NCPT0o9mX33POqpwfal6cWcvoj6ugkMnxb/AfPuvXz+ay6yi4RFgrpSbSwKd8d9vy7pRzaJQmzLecGqMPYtWD/4K77AppZVDv5gR6+hI89DuSXlkeYDnXtxHarhoKmYLKTTrTu083WtXwQlGlNV9FxHJfe5ulfkr0zPZUVUpxq96Grv+phZfCnzaTDvLITNXUaWdYOag+HjI5fg070K1dAwIqKKjc6ktWnXpp+QIu7ybbRjfHVy7Dv3EXenZpRjUPP5p/9T3nrc7lYp9x6Wwc3Tcla1v7rx/qnyPp76N9VR/E2KPZZP20ia+CKyLzDKRZl+50aFIFd5kUz9qdGB1xlLs2dlPW1c2MaumLTO5Lw87daFurIm41e7HCiogFDu8HLapnnFgyhOZVlEhlblRu1IHPPm1DHX8lcv+mDF0awUjdBZ2Sjxdb4XB3Cobzy41KDT+me58etG8WhLdCiqJyML0nrCT6Tkk2ezUvNvbBU3OJr2wVxiUXqLT69QXWj2lLVaUUj1od+GLiHBaviSQqajNrF0/h80+C8JBJkMr9aTYknIO3yuqgY4/2c1z/lot56URy7sWwfGQbqiq10W8q06jTIMZMmU3YooXMmzKaIb060Ly2H0qZG4FthjBrQzz3nbRtqVKW0d698GxWdWAkDskCmnWRdcNbEejnT602gwk7cr/s0iALG8HONoKdz9nY4YzpNBy1jrrgHpl1kJGaVIWyKj1Ym2LtQqEm43QE/Rt6IZX7Ur9jdzo1rYaHVx16zIt2sfXakeceKHgYzbweNXCTuRPYsju9P2tL3QAlUmVlWgyezbaL6TaO7XI0r4vYz51Yft2eAzqfB7ELGdDYB5lMimfN1nzatz+9OgVTxd2Len0XcCTV9g313belHTjeS+AvATVp8d/yaQ03pJ41+LhHdz6u44NHre7MPfLQxH2AI+eAg3ERe10gEAgEAkOEmEggEDgdVW4OF2/9zP4Lj9mQmMrSo7eYsec643fdYMq+m4Qff8C2y2kk/5zvEhcm6t9yuXrrOVtPP2DVsTvMP5DCpF03mHbwNovj7rM++TkJT38rO6dnqVHz+uVrjl15ytbTD1gZe4c5+24wcc9Nwo89ZL/RFFgC06hJf5HBvtOpLD5yk6m7rzN5/y3CY1NZe+YZCU/zjKbLKzvKW3kFpSOHR5fiOLhjA6uXLGBe+FJW/biF3bEXeVLai6mCDG7G7+LHVUsImxfG0u82suNQHEk3npBljfez4BHx6xexaPV+frJaMAKQy4PTu/hhWTjfrtzE/uSHZtNaGUWdxcPkA2wsadn1X8TrG4dYu2QZkScfWyd0VT0jKWoFi1ft46pND/HzeHhmt77eSTbWW/WKWwlRrF0SxoLFa9hyMJGUdGO7roq0K4fZtHoRYUvWsevkPaxKpqB+xa3E/WxeuZDwiB/YEfsTL226FMjl/smdrFsazsJVmzmQ/Mj2foXSj8uywNF9U+K2td/6kX14NIFyzat6v0Fs06oHcx+TtPt7loYtYNHqTeyOvVS6tSnrPkmHIlm1aCErNh3k0nMbTpYO7wc96sy7xO/4nohv57NgyXds3nOClFcqCi6H07qCJoqFMpiZZ8soDZ8pCtJJObGDH1YsYsG8MJatjWR3dBKpmaWZXHmcmFgHuaRQZFl7YlzJ5r5DUPHywm4ipgyhY3B1KnnJkcrkeAQEUq9VD0bM/o59F56Xsf1ix/ZzSP9Sbual81CRcfME2yKmMuzTVjSsWQUfdxlShRdV6jTlk0/7MTw0nMiTD5xfh6xoJjTwxrfJ12y96wqWucBxONBGsNs5W/t9pT1jOhG7r6OuuEeqeHpqM0uWrOXgT69sF3Rl3SFh549EhIcTsX4X8bffuJAorBiO2hcByObB6d2siwhnfngEP2w/yOk7pW2L8jCvNfbz8jXsOf/cMdFSVK+5lbifrT+sYOH8Qhvj0KXnFkWh5r/zT2BLO2S8l8BfokGVdoXDm1axMHwZP+yII+W1NeVw4BxwKGVvrwsEAoFAYIgQEwkEAoFAIBAIBAKBwEnkc3ZWMApt2piuq0l11UvAMqWAG0vb4aaJPqAInomraYkcgmH6A3k1Rhwoo3RHVlFAXp6LCSzKVfsJTKLOJy/fRa7T1WrXvdgXCP5siDVeIBAIBAKBQCAQOBkhJhIIBAKBQCAQCAQCgXNQ3WZ5Rzdd6q4WCy66RCRK56Hmzb0kEs7dN/9yOz+Zuc0Vhe0kq0jnlSl/jnZK28Yg38KUT7IPv2SPTZHqBKL9BAKB4B1GrPECgUAgEAgEAoHAyQgxkUAgEAgEAoFAIBAInIL6ZST9faSaV/VBjI3JKesiOZEC7m0ZRh0PKRKZkhpf7eKpCUFR+qHR1FQURm9SNAgl9k9yYZgTPZYguQSJREbg13t5VdYFKmeI9hMIBIJ3F7HGCwQCgUAgEAgEAmcjxEQCgUAgEAgEAoFAIHAK2YfHECgvTN0l9e5P5Ms/UQKdnBjG1ZRpojJJUDSdTZKx1GV5Fwhr445UIkGqrM/Ywy/fsTRDap4nLGVIm9rUbtmPeUeeaOqXz7m5zQpT4CkaMCXhzyQ0swXRfgKBQPDuItZ4gUAgEAgEAoFA4DoIMZFAIBAIBAKBQCAQCJxAPkmzggsvwiQS3Not5YaqrMvkPNSP1tLdQ6KJyhRA5+WXyXvrp7I4t7ADPjIJEpkPbWfHk/5uKYng9RHG1pLrRFXuvdbzTA2obrC0nRsSiRSvjhFc+1PkdSsBov0EAoHg3UWs8QKBQCAQCAQCgcCFEGIigUAgEAgEAoFAIBA4noKrLGyr1FyQyak3Od6ImOYdJnM3wwKkKBp9ybq427x5SySUz91dI2nkLkUi8yJ47B4evIOXhQUXF9CygkZUJfOg5YJz5AMFl8NpU0GKVNmEKfGZZV1Ml0W0n0AgELy7iDVeIBAIBAKBQCAQuBJCTCQQCAQCgUAgEAgEAsegfsP9i/+fvft8iur82wD+R+w5uytLL+pPebA3FGvEJFbs3diNPWiMicYWUewVe2zYY8eCUbF3jb2ixpYIqKMOMMvs7Mz1vGArbt89Z3fJ9ZnhTSKcctfvfe5yBseP7MG6Se1R2XDEmUIhIr7rFKzavAsHj53G5Yd5KIfzZqzp32LfyGpQhidj+qk866PLip/j+KK+qKMRIKjj0XlODt6U012b9K83o2+0AEFdDZ2n78G9QgC6XGwZkABRDEOzyX8ir7ztxuRDfH9EROUX63giIiIiIgoknExEREREREREktBeSUMztcJ0XIe9H2XdX5DzH9imSP8qGzPax0MdUQsdRk7F3EULMHvSMHSoFwVRDEF8m1SsPfe6nE+sKsStNb0QrwpBtfajMH1uGsZ1q49IZRQaj96GB1p/31+g4/sjIiq/WMcTEREREVHg4GQiIiIiIiIikkZJHu6ez8Hp8xdx5fot3Ln/CLlPc/Ho/h3c+usaLl88h9OncnDuXh7K6UY8X9Ll4erOhfj1hyHo1bULeg8ahQkzV2Lf5Zco8ve9yaYYLy9sQfr4oejTrTv6j5mCZVn38cnftxU0+P6IiMov1vFERERERBQYOJmIiIiIiIiIiIiIiIiIiIiIiIgAcDIREREREREREREREREREREREREZcDIREREREREREREREREREREREREB4GQiIiIiIiIiIiIiIiIiIiIiIiIy4GQiIiIiIiIiIiIiIiIiIiIiIiICwMlERERERERERERERERERERERERkwMlEREREREREREREREREREREREQEgJOJiIiIiIiIiIiIiIiIiIiIiIjIgJOJiIiIiIiIiIiIiIiIiIiIiIgIACcTERERERERERERERERERERERGRAScTERERERERERERERERERERERERAE4mIiIiIiIiIiIiIiIiIiIiIiIiA04mIiIiIiIiIiIiIiIiIiIiIiIiAJxMREREREREREREREREREREREREBpxMREREREREREREREREREREREREADiZiIjKC30JSnT+vongoyspgd7fN0F2MX2oPCj69y7OHsjEqqULMCdtGiZP/BE//jQRk6bNxpJ1O3Dw1F/4+zNzOhG5ju0jEREFG7Zdbvj0GKd2rsH86ZPwa9oirD98GwVBOt7DdC9/ZItv/VAOmF+JiIiIqCxOJiKi4FJ4G7vnTcIPwweiT7cO+KZFI9ROiEO4WoAQ+jXm3yrx9x0GID1en16H3yaMwpD+PdCpbTKaJNZA1RgNlKKA2CF/4IO/b/E/jelD5ZEe725sx2+DkhGvEaAQlYis2RztuvZEvyHDMHzYQPTt0QnfNKqKUKUAVcUk9JudhcdF/r5vIgocbB+JiPxKn4+bR7Zj0/rfsW7dOp///P77BmTuvYiX5SqEZ9vlHR1eHpuDXvXDIahjkdjxO/TvmIhopRIV2/yG4/8G6jQHpnv5J2d8K3U5YH4lIiIiItdxMhERBRVd7kYMToxHbJgSgkIBhcWPEDMQOwr8fYeBqBhn0r5Fjf9FQi0KVu9MoVAhacZFaP19i/9pvkyfEhQ8vobLd96gfM3JKK/PVV59xLW1g9EwUoBCDEGNbjOx6/LfsL04U4/Pz05h7ahmiFBqkDTpOFiNE1Ep9l/kx/aWiCzkbUG/qLL1r49/NJ2w8mmQbjljE9suz+nx5vBPaBIhQKGsiK4r70ALQJ9/GSu/qwGVKCJ+xF7k+/s2bWK6l29yxrdylAPmVyIiIiJyHScTEVFw0hUi/+lFzG0fYgh4BWhSViC3PI1DSkD78TXu7RyN2irDQIEyHmMPf/b3bZGBV+mjL0DOrLaorBIgKCujx7oHKBfFobw+V7lVgsfbh6KWWoBC1CBpwiG8cphgerw5Og2tq6ggKBQQKo3AgUK57pWIggX7LzJge0tENugKC/Aq9x5uXDqNo2u/Rz21xWKeiGRM3H4KV+89w6vXr/Haxs+L3Lu4fiEHR/fvwOYVszC2a31EKS3+Ruww7Cmn1bmttmvMoXL6sL7w4Th+aqCEQqGAssEknCoCoHuM9b0rQzTkF1XTmbgU4LMcmO7ljczxrczlgPmViIiIiJzhZCIiCl66h1hqmkykQrO0K1w944LCrNGoahjAFaL6YcvbQN0q/L/J0/TR5a5Ax1DBNLmu4oj9cHnMSp+Hsxmj0TWlJ8b9fhkfPb573/PqueQWwO9RLrqn69EzTiwd/Kw5FlnOlmFqryKtucr0QUmsMhpZ3A6DiGxg/0VaQdXeEpFfaM9PRSPTZCIBEb034JXbVfEn3N4wANUNH65VjWfgYjkO4q3brr7IDNhjuvxNh8crOyFCVEChUKLuLzkoBoC8TegVZs5z0X0346Vcr9CL2I7pXn7IG996UQ6YX8mI41JERETkY5xMRERBS/82E32N264rq2FcNj95OKfFlbSmUBkGNkLaL8NDLjsPIJ6njy53DboayoNQoQHGH8mDq0NAhacmob5hQF9ZawKOF3v8AD7nzXPJLZDfozw+4PjE+lAqSgc/60065fyYHO1lzGxmGGwVQ9D41xy8l+NWiSjIsP8itWBqb4nIH3TIXZECjWj8oB2Ctks93MFM/wzrukdCUCig6bZOvskhstPiSlozc9vVdgkesO2yTXcXi9uElB5lL1bEsD0fSv97yV2sH1gPkUoRkUnDsOmufAGW57Ed0738kDm+9aIcML+SEceliIiIyNc4mYiIgtbnQ2MRb1w9EzMA2707NPy/QZeLFSma0sEJnoUeeLxKHy2en96MhbPnY/OZFyhx4/fOTkk0Dx51WI5HATV45OlzyS3Q36P09P9uQ/9YwwRPVT1MOuXKEkw9Cm7uw/IZk5H2ew5esEIiIlvYf5FBsLS3ROQf+dg+INpQDyugUDfCtAue1sQluL3ga6gVIqqOOeT843ywKtN2NZp2nm2XHbrHGeigMeQtTQdkPLYMpHT4lF+AQlknnXkR2zHdyw2541vPywHzKxlxXIqIiIh8j5OJiChIaXFhepIhQBKgSVmBXAZIzuVvx4AY425O8Rh7mGehBxR/pI/uLha1Nh8XyA+0HuJ7xLtdgxFrWK0u/m8E9nM/bSLyFfZfiIj8qzAb46qL5qN7qo7GQY+rYj3+2dADGoUaLef8VX4nL1q1XVUxKuuTv+8oYOVt/Q5RhjhCWXMCjvt7hpk3sR3TvdyQO771uBwwv5IRx6WIiIhIApxMRETBSfcAS9uZA6RmaVcYILmgMDsV1UxnoffDlrfldk/5oOSP9NG/3oheEcbBowSkHuFxgZ7geyxGzs91DFvACwjrsR6vWL0QkY+w/0JE5F/aK2lopjYecSYgos9mvPGiKs7b1BuhYij6ZJbf7YULs8eZ267I3tjkzQsr14pxYmItUxwRGgBxhDexHdO9vJA7vvW8HDC/khHHpYiIiEgKnExEREFJ/28m+kYaA6RqGJfNAMk5La6kNTVvd9t+GR5yN6cA4p/0+XRgFKoYB4+i+2NbnvTXLI/+8+9R9wQZKeYJno25Ao6IfIb9FyIi/9Ihd0VHaETjZKIQtFl8D55XxaV/L0RVExOOF/vwPgOJFlfSmpnbrtaLcJdtl21l4ohAOGbJ89iO6V5uyB3felEOmF/J6D8/LkVERESS4GQiIgpKn7NGI94YIMUMwPbyu6DRd8oMTnC72wDjl/SxPE+dxwV6ju8Rnw9i1P8MR1+IURi4872/74iIygv2X4iI/KwAOwZGQzB8cFaoEzHlnLOauBh5L97gk81NLkpwdVZzqDRtsPheOe0063KxIkVjeGdKNPj1LNsuez4fxKgqxjgiEv23F/j5hryI7Zju5Yfc8a3H5YD5lYw4LkVERETS4GQiIgpCWpyf1ogBkrvyt6G/6Sz0eIw9/Nnfd0SW/JE+Zc5Tb5Z2lYNHnuB7RMmteUiuYPjAVCEZc2+W+PuWiKi8YP+FiMi/irIxvobS0NdVQKwyCgc+Of6V/N3DUEVdGxNP2tp5qAhHfoiHMm4Y9nyU5I79L387BpjarsoYsb+8Pqj3Sm7NRytTHNESc274OY7wJrZjupcbcse3HpcD5lcy4rgUERERSYSTiYjkpC1CsSuTXkoKUehxj78ERUU+CHJdvVcA0BWjSLIIxcbz6O5jSRvLAOmKDwIkPYo/F8KrN+fWOytCYbF7Z5Fri4q82EoeKMxORYJxN6eoftjy1tUD2LUoLk8RqLYQhe4mtLYIRS68fL22EJ4WP3+kj9V56qoa+PFYkWd/SAqePpcf6i5p36MP6iYZvN85EFGGoy/EyiOwX6pv/e7mixIttO5VtfYujOLCYvjkT/lKwLTTgPxtqNTP4ys+Kr9+yfce5nkJ+roet4+2L+yzfrLU/QJZrlH6B4KmvbWvBEUu30wg8eK+ZYkrAb/VY56Qq8zYvLYH8UUQ0V6dheZq4xFnAsJ7b8Rrh1Xxe+z5vhLE0E5Y/cz2P/z85Dxyrr+CZ4ec+agud0qP4kLPYvDC7HGoZmy7wntg/auy78Hzvx0YfBejvN85yBxHVBqO/U4mqknNm9guMNJdgrhFkjouAOMrC7LFt6breVYOgja/Bl27GfjtjiTjUkwna3wfRET0H8XJREQyKLq3B1N7NkKcRoAqsiqSuv+CDZfeWgXNRc9PY8O0AWiTVA0xGgGCKgwVazZHj/ELse/2B8cX+PwUpzZMx+AOTVGrUihEVTiqJnbAqGXH8cw0OleCz5+cD9VZ32s8krr/jA2X/ikTyJQg78YeLEzthdZNa6FiuBKCJgbVGn2NXhPX48IbLzuqTp5H/2YTekcaV89Uw7jsQo8uU/zqCvYs/Qn92jZB7SoRUIkClOEVUeebfpiw9CDufXRtWMN2+v5TZlCkGH+f347543uiZd2qiKwgQFCFo3Lt5uj+4wpkP7IxUvA5Fznrp2JQSnPUi4+EWlQi7H910KzDEMzaexcu3p6BFpdnNjWfhd5+GR46jE71eH/7D/zWPxm140IghlZE3bYjkXHmtUsDhh8fncSWjAxsOf/C/5Mg9O9x++ByTB7SDo0SYhGqEiBoolGtYSt0/2EJjj6yPypkmbaipiKSuk/A+kv5Vmmrf38b+xeOQqdmNRCrESBUiELNr7/DlE2X8NblEQCp00ePN2c3YX7aNEydOtX08+uwVohVGo8rqIMeP5n/39RpMzBrWRYeyJqAnuc7eeoued6jr+omyZQ8QfaqOfhtmvE5p2BsSgKUxtXq8e0wespUq3fk8GdGOtadeuVgINmDfKF/hwsZA5AUo0Jonb5YfcPdgTQd8m5mYW3aWPRsVRdVo0MgiipExjdAcrcxWHLsCTxrebwXEO00pGpD/fc8vuK78it3vvcuz0vX13W33Jv2rgAAIABJREFUfbRBon6yVP0Cefoegd7euvAEHx/hz7VTMLBdEqrHhUBUhaFKYnuMWpqNXGNS6gvx4WNgzTz09r4ljyvh53rM8jken8CGpUux+dQzhxNO5OuvW/1Bj+OL4KND7sqO0IjGyURqfLvoruM0fLcXw+NFqFvMxjVfNdE+rMsdKc3/E9CvbRPUqRIBlahEWOXaaNpuEKZvuYx/XHoeLa6kNTO1XepvF+B2CaB/fweHVk3F4PaNkBCngWiI75uneBLfy88ndYO7ccT0NCzadQPS7Jfi69jOX+kuQdwiSR0XuPGV7PGtR+XgKh4Ec34NxnYzYNsdCcelmE7W+D6IiIgAcDIRkeT0L/didP0QhDcfhbXHLuL44h6oqlRAjGuHeRc/ACjGo70/o1WcElGJfTB1zW4cu/QXbl45gR2LUtGumhpi5Q6Yd87W+dxa/H1sDnrU1kAQVYhvn4qFmUdw4coZ7F06Es1jQ1B32A48fLofP7eOR6imKtrNu2A3QLd7r7HtMP+SYfjmw1/YNKYFYtXRSOw5EUu27Mfxi9dwMXsjfm4TB1EhQPV/3bD8micdaleeZztu7xuFqsbVMzEDsD3fzct8vo99M7ujdpgAQRmDpP7TsHpXNs5fvYhjOzMwvk1liKKA8AaDsOa64wF3++nbHgsul04Q0hdcw6bxrVBRHYXEnuORviITB09fweWTWzA1pSpEhQJi1R5YddOYMjq8zpmPHrU0CIlPxpDfVmPnoVO4cvUM9i8dgsRQAQoxHI3G/IFnLq8If4KMFPNuTkkzLjrYzUmPN8emIDkmEg0HzMWOnEs4u/F71FUpIER8i3nXHH+c1OcfxGjDNvhCxWHY4/ybhWT0/+Zgfu86CFOGoU7XCVi89TBOX76Jm1fPIGvDbAxtEQsxMglj/sj9YuWP/bRtg/SzHwDo8PbccnxXLxSaGikYtygTh85fwfkDyzAsKRyCGIK6QzbjrivfciVPn2KcmdkKCZVjERsbgxjDT3gFwbTCWNBEmP57TGwMYuMqo3qrqfhTttjY83wnX90l8Xv0Yd0kqfx9SG0Uj4pxsYbnjEKoyvwOlGFRVu/A9k8EQkTB9FEqed5N+xPhPMgXxWenoKHa+PdFxPXfgi8WWtrx8e4BzB/aApVUAoTQeLQaMhMbss7i6o1LOLF3JSa0i4dKGYWWv2bjH5k/+vi/nYY8baicz+MrPi2/8uZ7b/O8pH1dt9rHsmTqJ/uwXyBP3yMY2ltHivAkayY6V1dDENVI6DgRGbtO4NKVU9izZDiaxWpQZ+g23H+wA6MaR0IMTUCXZdcD4JgH7+9b2rgSAVGPmbzPxoT6aggKBYSovsj813ZlJmt/3XhNL+KL4FSAHYNiIBg+OCtU9TH5tKMPUFrcWZaCSFGJ6uOPwft9EXxbl9v1+T72/dYdtcIEKJRRaNRvCjK2HMTpq1dx5tB2LJ/YCdVDVajaZREuOsv+ulysSNEY3pkS9SYdx8Mj6ehVLxyaMvH9viWD0MAU3+92Pb6Xky/rBrfiiFjEVk5A0ugdeClJn9vHsZ0f0l2KuEWKOi6Q4ysAMse37l7PWA42448ZwZlfg6/dDPR2R5pxKaaTNb4PIiIiM04mIpLUexybUA+qiLZYdMsw4PZhO/pHCFAoBIS1X4wTO4ejToVwJI3ainuWPTh9PnJmtUUVdem/jfxuC6xOddDn4fT8LkioIEChrIS2U7PMq1kBADq83DMcNdVxaNqitmG1iYDQnuvtbEnu7F6X4s7zQ5iUHANlxW8waf+TL1aI6h4sRbvQ0n8fnrIM99zpTbv8PLFIbGRcsSNAk7ICuW5c59PNDRjRJKr0Q0ZCN8w/9erLAP/zbazpE2+Y5NMH6+0u3XDyzlIycP9NDma2joH6/zoh7cjTL9/Z41XoHFn67zUt03FVW4x7m4egXlgIavRegrNfHOXxGccn1il9fmUCRuzLc21b6Pxt6B9t3M0pHmMP248gS+6vQfdKIag3eg+eG99tQSb6hpW+85j+2+DohJH8HQMRY9yeOSEVR/x1cta7U5j5TTQEZWV0WngBBbbu+cMlpLcOg1hlEHZYFQzHaRvecQlO7EpFk8gQ1Oy9FOfzyuxDdXMBWocJUIihaDnzPJzuUO1t+rxzPX3Mf+g2FnyrNg12tZxzw6+7SHn+XH6uu3z0Hn1bN8ms6Dgm1CqdQKgQQ9Fzwxun9ZL+2Sp0CjVuwV0HP+fY/ijlaX1UmDXaNOlUoVBArPEjjjldePUJt7el4qtYEQqFiEptfsW+hzbKYuElzEoOhaCqj19y5JzA4ue8DpnbUBmex1d8XX7ly/e+yPMS9nUBt9pHKzL3k33TL5Cn7xG07S0A6N/gz7R2qKISoFBWRqc5OXhlVZR0eLl3BGqpY1GvfhWIhnSNGrQDdqbPyMMn9y1tWQuUeszo477hqGRcPBI3DHtsbksic38d8DK+CFJFxzDesFBEoVBA/N8I7Le3TUzhM5xaOwrNIgUoxGgM3FHg3bV9Xpfb9umvDRhuyP/Kaj0w789nNiZBleDRxr6IV2nQcs41xxMU87djQIyh7RIj8HX/3qgbGoKafZbiXN6X8f2fE2q5H9/LRPIYxYM4QlLexHayprtEcYvP67hAj6/skDC+9dX1AARHfg22djNY2x1vx6WYTtb4PoiIiKxwMhGRhPSvM9EvTokqQ/8wD5Z+3IGBhiO6BGUYwsNVqD5oK56U6eXrnq5G5zDzqoLQ7r9brC5/j4sLO6GyUgGFqEb9sfvx0tZgvFUwUbqiu8nMyzYDEKf3WqEumjeJgiqhD1b/ZWf0UHsB0xqpSq+laYslD1z9QuD58zRLu+LiSmM9Ci4sRrf/U0JQCFDVHYLMe/bn35fcmo+vNQIUChGxPdbhsY37cf7OGuKbVhWh/F8XLLtuZ0BEewVpzQ3vTN0EPy76EU3CQ5GUuhdP7TzYp52DECGW7jpQ8fs9cGV/ksKjqUgwDshH9cMWe6P3ulxs6F0RqlpjcNBiAEF3dxFaa0p/X5n4K87afemFyB5fzfQRJKL3JrzxS2DyHid+aQi1KCKu93o8tZMVix5nY1G/2lCK0RjyhzlfOy+7aqjVKlT7bj3u2JospcvFCsNOCkJUN6y1dwMGXqfP/SVo61L6mOlfrUePcONgVy1MOO6vWV/w6rn8W3f54j36vm6Sm+7xcrTXGLfTTsKMS84z4LtdgxFrmHQoVLKzg5k39ZH2HlZ3izPURQqIVcfgkKOk0RfgdHpbxCkNO7qkLMAlu+cp6PBkRQpCFCo0mnZett0u/JvX/dGGSlt2fUOC8itXvvdRnpeur1vK5fbRih/6yT7oF8jS9wji9hb6tzj527eIUSqgEMPQ7Bc7uxfo7mJx6xDzLiqKELRZct9/K4Z9dN/SlbUAq8cAAMU4NbmeefFIp1U2+/Jy99e9jS+CVcm12WhewTxRVfl/bTFs/I/48UfjzziMGT4Ifbq1R9OEUFMeFkI7YoU7q36+4Pu6/Et6FFxYhK7xpflfXXcQNt6xlf/1eHdhDVK7JSJGKUD99XzcdvCVtjB7HKpZTO5ViGFo+uMBPLNzUx89iO+lJ0+MYh1HNMZvLsQRUvImtpMt3SWLW3xcxwVBfGX3bqSKb126nuvlIPDza7C1m8Hb7ng3LsV0Kvv3+T6IiIiscTIRkWT0eLG+ByJU1ZB6xLzOUfdwGdppzAGbsuYo7LOxbbv+2Tp0Nw6EqmtixF7jeds6PN02CAkqw242LWbgvN0+awluzGkJtbGjqExA6lHbQYor9ypokvDznw5WoJRcR/pXavO1sl0638mL56mGcdmubchZdGsFulYWDQObTTD5RIHjlTQlVzGrhco0eDDtQtlVRS6+M3Uixh3+x/61dPexpE2IRWdeRGynpbjp4NUVHhiJioZBipDWi3DX6UCdFpdnNjGdhR7Sfhke2vmdz6cno6E6BMlWq1j0eL25L6IM11S3mI1r9oJY7WXMbKay+Ahyzy8fb3S5a9EtWoBCrIhhe+ysRS++gBlNDds6i+Hot/Wd4X+4krYCotrMcbDFfTFO/1q/9COIGIK2Sx19xPJF+vQxp0/LdNxwYQnSx/0jSoNNhQJC3GDseuf8d6Ti+XP5s+4q5e179H3dJL/PB0aadw+IGYSdTrd/KMLxn2qaPhKGdluLv208tLf1Ucm9DHSMKm1HVU1m4KKDSZA3V/dEvNLYLg/Drr8d1Vx6PFvVCRqFColTzso0+OLfvO63NlTCsusLUpRfefK9r/K8VH1dI9fbRzN/9ZO97RfI0/cI3va2BA9+74UqSsPkkuTZuGL3V0twa16yOV3VDTH1vL+GyX1139KVtUCsx8qurm8++5qN1fVy99e9jS+ClQ5PV3WCRjS/09C4qoiPj7f4qYyYCDVE0ZwXFQoFVM3TcMXjoidFXf4lq/wf1gLTz9jJLJ/+xIQ65t2ZHOZfaHElrZmp7VIoRFTtvQ73HHTZ3Y/vpSdXjGIdRwzGLj/PpPI8tpMr3aWLW3xbxwVDfGWfVPGta9dzvRwEen4NrnYzmNsd78almE5lrsD3QURE9AVOJiKSiv4NNveNhFj5e1j2PT9ZdPAVyjj0WPfYzqBlMZ6f3YLFs+dh/Unz8Vi63M3oFy+aOn4j9r51OKhTsKUvQo0D/NH9sS3Pw3sVVUic+Cccdo+LjmF8dfO9ufKBwKvniRmA7flOLwG8P43pLcMNnXw1mk4/58I29vnI7BNqmq3/xQ5Irr6zCdnId/RAxWcwuYE5QBSiO2DpbUdDJ3q8Xt8DGoUbQbzuMTJSQkzPkjTjop3BmXfYPzIeyshuWGt5CLr+NTL7RRtWmYqIH33Q7iok3ZMMdDCtqGqIqef8MQykx4t13REmKqBQN8XMy3buIW8rvjN8cBUr9cFG4zO7krbqZvjtkqOgyzJIExDZfyvsZlWv0+cVNvWJMp11X3PCnza2Ry7L4uOJQoCmy2o899vWtl48lx/rrlJevkcp6ibZleAviwEJ9TeOV8yV/soNpLc0fyRMnnvTxkdC1+qjhDFZ9ldF6l9jU+9ICAoBYb03462df/b5wky0MG5Jr4xDz9+fOJ4EqX+FLf3jICqrYNheL4/vcJU/87o/21DJyq4PSFJ+5cn3PsvzEvV1TVxuHy1+xV/9ZG/7BbL0PYK3vdXeXYEuFQ2/p6qN1COO6968Tb1M6SpWHYWDLp1f5Xs+u2+pypof6zFH8YT+9Xr0NK2ur4Efj9nIJ3L3172NL4JWAXYMijHvmKVuhGkXbD97yftHOLVhLJqHl+5OU21cNjz9RCVJXV7W+9OYYcr/Ifgq7SLsHa6ke7oSHY0xrhiCxtPP2X82XS5WpGhM70ys3AvrHW7T40F8LzXZYpQyccS3C5zHEZLyIraTKd2li1t8W8cFRXxll1TxrYvXc7kcBHp+Da52M6jbHa/GpZhO1vg+iIiIbOFkIiKpfDqAkVVERPffYt52HVqcnZJoWv2hSpqKc+5899K/xPZBVU1HSGlaL3QSZGpx9tcGhoBCgZCUDDyx1b914V7FSv2Q6WRpje5JBlKMwU6FZMy76SQC9up5BGhSVsD5zukfkTO5IdSicWB+MHa6dO5WgcVgmIDQXhusjyRw5Z1V/g6ZLxxfS/9mo3mwXKFC4qQcJwN1xcj5uY7pHUQO2O74ow0A5G3Dd9HGgZx4jD1sJ1z9fAhj/k9EaJfVVtu46l9uRG/T71fDD4ftb9+at62/acWxWMVfH2+KkfNzbcMq4wh0XH7vyw+UAIDPuLN3PiZNmo3MSxYBlwtp63zwpBinJtUzlT2HWxJ7nT4b0CvK+MGlLn4+6cKwfckdLGxtHuz6Kv26e+ep+5I3z+WvusvIq/coUd0kuwJs6x9p+jhYdcwhpx+O9M9Xo4vxuBVVbUw8aaOEulIfqWpgfLajSsaYF1RInHLO9gcN7W0sTYk0DaSqms7ARYftshaPMgcgQSUgtNk0nLE3+udrfsvrfmxDpSy7XpPovciR732Z56Xo61pytX008mM/2et+gRzXCNb2VvcMG3rHGvKsgNAOy+D4dLQiHBtf3dRX9tuRu768b0nKmh/rMSfxxKf9I82r62MHYYet78py99e9jS+CVdGf+LGmeeGLGD8GWY6qYv1bbOylgUKMQv9trqz6sfU3JKrLrXxCzq+NzPm/0nfYUvacTat7eoWjaX3QsmFjdBq/GTccnWaSvx0DYgTTJMsmMy46WejhQXwvKTljFOs4It6FOEJS3sR2cqS7pHGLD+u4YImv7JIovnXxei6Xg0DPr8HUbgZ7u+PVuBTTyRrfBxERkS2cTEQkEf3r3RjXui1+3v/a3KnU3cWi1iGmDn4LNz/ga6+lo6XGGPCFouMKe6tPjde7h8WtzSu6m9o5C9f5vaqQNO2c091OCnYOQozlRBIngwDePo8rq91K7q9AJ+MHEoUSDSbluBaY6+5iUWvzWcLq1gtxxyKxXHtn552+s6Jj41HdOFge1RVrnM2OKrmN+d9YrHia85fTPFR4NBUJpmv0w5a3tsMc4zP9uPtvi0BIh2druyLckK7KWj8i2266FuJIaoIpkAnvvdE/H29QjJxJdU0BkhBaD31mbcPZJ+9dOnLNpbR1ujtCPrb0CzcPoDWaBjuLeL1On9w1XUzpo2o4FedcGLfSv96AnhHmD9MT/pT3aCDre/H8ufxVd5mv7/l7lKpukp32HKYkmo827LTyqdNy9n73EMQZ3rdQcSh229g52na+0OP5uu6IMNZHdSfihMOXpsXltKZQidEYaPNLpB5v/xiKqqZdNdRoNf+W3Tr18/Oz2DCxDaqqBYj/64qMv+T73OGvvO7fNlS6sustqd+LdPnet3leir6uJVfbRyO/9pO97BfIeY1ga28Lz01FktqYZ8PQeXWu43QtuYbZLYzlLARtFvvnyF1f3rcUZU3eesydeKLM4pFOK60mJZW9jlz9dW/ji2BVcm02WlRQmCaIRPbLdDJBpACZfUOh0HRAhsNdLuyTqi63VPLAOv/Xm3jShZ13XFOYPQ7VjG1XWAdkPPJ9fC8lWWMU7TlMbWiMIzTotOqZXyfgeRPbSZ/uUsctvqrjgie+skui+NbR9TwpB4GdX4FgajeDvd3xbnyP6WSN74OIiMgWTiYikpH+zUb0MnXwa+GnE+508Auwf5RxooYCQqjzATr9m03oHWlcAZqA1GzXA3Pre62Nn3OczVCwnkgS2df5QKN3z1MN45w+zwccSa1hCgIU6iS727J/+ThZGF1VdGswzP13psXVWc3Nq2ddWBWg/3sNuppWPNXBLy5c49JvTczXaL8MD92JgHSPkJESajr6ou7PJ+0PJmov4rcm5kGX1ovu+inY0uPlxt6mHZJMP2IIKia2Qd+x07Fs6wk8+Oj6UKVV2ioT8MMRJ1+/ik9jUn2L881bpuOGzfzjbfrcw5K2xu2pXQ8GPx0YiSoWK753+nf565c8fC5AjrrLzPP3KG/dJCX9i7XoGupOnVSMkxNrmz4ShnZbAycbWZjpcrG6S5ipPmrw62knH64/Ys/QWAiadlhmq2Dp/8b6nuZVs0KFZMzMeYRHD+7h9q1rOH9sLzJXL8TMiaMwIKUh4tQCFMoYNP1+KY4/d2e1qTSkz+uB3oZ6Xna9I3P59WW+lyHPe9fXteRu++jHfrJP+wXyXiPg21v9W+wYXMkiXTtipZOJ97qnq9DJ2C7568hdGe7bu7Imdz3mRjxR5kNH81lXXZ5YIW2Z8X18Efj0eLa6EzSmZw5Bu6UPHcd32kv4rYkKqqYzcclulvqE3EuncOO1rZctR13+AUfG1bTI/w6OMXGbFlfSmhnaLgEhHZbD2Td66/i+Ln455c8+psx9v5eWcURdTPLrs3sT28mQ7pL34XxUxwV5fAXIHN/C83IQ0Pm19LeCpN0M9nbH2/E9plOZ3+L7ICIisoGTiYhk9OnAKHMHP24wdrnTwc/bgUEVBVNHVp08F385GZz5lDXKtCJIiOkPd3Yat7pXV1bWFFusphFD0CHDyYx4r59nALY7e578XRhS2TygpWwwCaddHJ8ouTkPyRarMMN6b4KTBfHuvzNdLlZ2NH/AafLbJacfcPJ3DLRY0T0C+x1tdQsAusdY3sGdFbplfv3eYrQxrnRQNcBkBy9Q92gZ2hmPrlAnYspZ/61x0Bccw8SGatMg1pc/AjTVu2DWsRcufaD4dNAibV04V1r3OAMdNOZrhfbehLe2/6FX6VNyIx0tjfm0QkvMcfrVELA+AkKApvMqPPN3HFyGZ89VSvK6y8SL9yhz3SSlouxx5p1DInpjs7ObKbmJea08W32te5SBDsZBTHUjTD3v5KVpL2FmUxWUib/ijK2dNvK2mo9QKvMjiCqERlVEfI06aNiiHfqOmYrFmw7i/MOCgFm9JXleD/Q21OXn0eOfPxfjh2GDMKB/f/R3+DMAg4alYvmpAvsrgmV+L77M93Lkea/6upbcbR/l7idL1S+Q+RqB3t7q/92K/rEW6dpqHpydjPbOcvejqv45cleO+/aqrMldj7kRT1h96FBVx/hjrk+SkrrM+Dq+CHzvsHNwrPl51UmYYX+GEABA/2YDeoYrUWvicbsTxrQ35qJVaAjaLLGxa5gcdXn+Hxhqkf9ViVNw1ldzGHS5WJFiju+bpV11M74fiQPO4nspyVw3FB2zjCP6ItNZoyUpL2I7GdJdjj6cL+q4YI+vAHnjW8DTchDY+dUoKNrNYG93fDC+x3SyxvdBRET0JU4mIpJNmQ5+l9V47kYH33JwVKFQov6vp+2c22u+3vlpjdza9cbevYZ2dX6v2ksz0cS4lX+FZMxzMmLu3fMI0KSsgLMTwSw7ygqFErV++tO1LboB5G/th0jTSgQVkqY7m+Th/jtDwQ4MirVcPevs7gqwe2gl04rumAHbnE8isBzMUcZj7GF3zoDR4eGydqbVqMp6vyDH7ni+Hm+3mN+ZWGUkDvjh442lz3e3Y0KbeISUXVFiOaAV2Qpp552NhGhxbmpDt8rS+91DTdtcKxQqNLb3EdSr9CnGxelJ5hVlru5QU/ZYjNnXAuyDh4fPBUCOusvEi/cob90kJR3uL2mLEOOgWLOZcLbATv9iHbqZVjXWwk8nXB1F0+HR8vbm+ihxss0JQla/kbsCHUNFVEs9YnML8eKTE1FLZXyXIqqN3o0nf7/Aq7fvURhYhcIGGdrpAG9DXX+eAmwfEOVgMLDMjxiJvlve2p1MJO978W2+lz7Pe9fXteJm+yh3P1myfoGs1wj89vZz1mjEK83PlPjrWSfpWoQ/J9Qw7Q4Q0XuTX47clf6+vYwrZa7HXI8nynzoiB0Em6eU2iRHmfFlfBEEio5jQi3zzk1iwg9wGqoU3UPW2g04+czey3+Hg2OqQRnWHssefPlv5KjLy+b/2hNPOD2i0WX52zEgxryTsvNV/9bxfeyA7X5dJCB33XB/qUUc0TwNV/05o8SbGFmGdJcrbvG2jgvu+AqQN741XM+TchDg+dVSoLebQd/u+Gh8j+lkje+DiIjIGicTEcnFast2Nb5Kv+5GB1+LK2lNTZ0+hbIihu9zMlND9wBL2lqchZt2xfUPzmXvdc4NJ/eqxWWL+1Mnz3Wy+tb752nm9Hm0uGraulcBhRiFgS7v9foee4ZXNm0XqlBWQ+pRJwG22+8MKDo2HtUNAy1CVF9kOovI3+3BsP8ZVrOIcRi0I8/pWeqFR34wr3KK6oct7kT9uqdY1dl8JIHjwcTPODQ23jTAEN5rA14Hwm43+o94cGw95vw0CB2bxiNcWXaVnICIjhmwMZZtpruHxW3cyXuFyB5f3byFsbIaUo/aHnn3Kn0KT+LneoYBfjEU7Zc9cGlHHetjMWrgRzdWfMvCw+cCIEPdZeb5e5S5bpLUR+wZFmeoIwTEDNmND05+48PeYaho2sliCP5wtpOFkf5vrO1mPuqpzsSTTgbgSic4RqniMTrL1gCPHv9s6AGNKR0i0DfT/gSSgCNDOx3Ybagbz6O9gpnNVGXqfgeDgtGdscruXv8yvxef5nsZ8rxXfV1r7rWPfugnS9QvkPUaAd/eluDW/FZQm/JsLIbtcdLKlFxHegvj7gAhaL3Yxs4nkpPhvr2MK+Wt392JJ7Q4P62heZJUR+eLR8zXkaHMGPkivggCJdfT8ZXFTjNR/bfCyWZPTumerkP3aBGx32Xi1RfVuhx1edn8H41BO13tjDpXmD0O1Uy7Y33ndHcs6/g+Bv23/uPHvqjcMcpH7PneHEfEDdsDf07B8yZGlj7dZY5bPK7jgjy+AiBrfGu8ngflILDzq60bDtR2M/jbHZ+O7/2n08kGvg8iIiITTiYikon1lu01MOFPdzr4n7B7iMWqek0KMpxMIdf/m4m+kebVJuPcOAvX+l5rYsJxJ/eqvWzxoU6N5LnOtvWV43kKsff7GPM1KnyDBa4ut/54EKPiLbb3rj0Bx5yMLbv9zqDF1VnNzasC2i/FQycBSMGeYahsCPrFSkOwy+mWpFpc/K2xxTWWOb2G1TP9uxl9Is27AozOchCcaC9iepI5D3y78E6A7XYDAHoUvriEPxaOQiuLLYaF0M5Y7WA5t9vHLRSfxZRE84drZc1UHLX56rxLn49HUi0mo3XHOhf3MrY6AsKtFd/y8PS5ADnqLjPP36O8dZOktFeR1tz8/lovuuvko20xcn6pa9p5waUd3Az0/25BP4tdSsYcclYp52HH4IpQVhmOfTbH6nR4YLEKVKFujll+XQ7tHunzeoC3oW49jx6fXz/AzWtXcPnyZYc/V65cx+1n7xzkY5nfi0/zvfR53ru+riV320d/9pN92S+Q9xqB394W4UhqvPnjtKY9ltud6Ge4r2er0TnUeCxgQ0w95496Xfr79q6syV2PuRFPfLF4xPnRK6bryFBm7FzZo/gi8OnxbHVn045SCkUI2i9/5OXkvCJc/K0p1Kot+0CEAAAgAElEQVRqGJtl6/O8P8YIvsXCu76KWrW4YvHBOKT9Mjgp+lbxvRDbH1v/9WeekTlGKbmKWS1UpvzVZsl9P0z+NPM8tpMj3f0Zt7hTxwV3fAVA1vgWgMflILDzqzOB1G4Ge7sj5fjefy2dnOH7ICKi/zZOJiKSyaeD1lu2u7zICwD0r/B7d415cKb+JJxysnPu50NjTNvrCzEDsN1i4om+4DaO/JGNu3aWvLh7r8XnpqKR4dgCoUIrzL9lGRgV4enpPdh76ZU5KJbled5jS79Q0zXEKqOR5WJf+eOhsabV8AoxHG0X33b6wcPt9NXlYmVH8znlSdMvOB4s17/FjoFxhg8TIioP2w3LGNH4Du5YjsvqHmF5B/OAfJLV1v2f8eTUHuy99NruYEXRnxNQw/iRKaIXNjjYakj3YCnaagzvTFUfk0/77ABw9+h10DmN4/R4dyEdbYwfaNVN8Nsl+2+/7HELO50E59oraWhmPMZDDEHLOddtp61X6fMO+0bEm/JD3MDt+Mfiue2XccsjIARoOq60veJb9xIX9+7GmedyTwnz9LlKSV53mXjzHuWtmyT1NhN9I8wfCH844uTDXcltzP/GuPOCGi2tdrIowtMz9t43UHTsR/NH74he2Ojk3Br9v1vRP1aJGj8chu11f6XHrhgHu4XwvtjiTrvsZ9Ln9cBuQz0vu96S9734Nt9Ln+e96utacrd9lLufLFW/QNZrBEN7W4g9w6JNA+XKWhNw3Em6vts1GLGmI3dH4aBfjtyV/r69K2sy12NuxBPWHzrKTAgqeYVL+3fjVK7tlylpmZEgvgh877BrSKz5Q5UPnkf/dyb6VRahSpqK87a6jLLU5e88zv9O6XKxIsUyvndyzFeZ+D5u4A6ro4Oc1cO+J3OMkmcZRyQgNdufu+V6EdvJku4S9+F8VscFd3wFQNb4FoCH5SDQ8yuCp90M9nbH2/E9plOZ6/B9EBER2cPJRESyKNPB77wKT935wqV/g/U9zB1FTY/1To6Q0uLi9CTz9VIst4jX4d6SNgip0Byzrtoa4ilzr11Ww/FC5UKcnFjHtBJH036p9Raf+X9g6P+UiPveYrteWZ6nEPuGmwdAXTnrvPTeXmPbgIqm1cTKuuNx1OkOtO6+MwAFOzAo1jxIMdbJbgP6l5vQx3SueVUM32s5KlOCu4taI0TdFDOvWDxk3lZ8Z7GjwdjDFtco2IFBsSJih9rbtlmHpys7mQaCHB9Hocc/mX0RYfwI8r8R2C97EFKE2xtHonnlEETUSMHM486OgMvD5t6Go2McruLQ4rxbaVuMc1PN51CLlb5D5ks7v+BF+ujzdmJwJdE06DTqgGUmLcHtBV8jpMJXSL9eJtF097CkjbMV33rk7R2OBHUVfL/Xd9svu8Lj5wIgS91l5NV7lLNuklbxqUmoa/hAqHBhRZb+1Xr0CDfuGlDLeieLD/swoorSTp7X4/nqzqYt89VfpcNmFjDRIXdtN0RpWmC2g9Ww+Zv7INRYVquOwaEAO/HPPjnyeiC3oV6UXa/J+V58n++lzfNe9nUtuds+ytxPlqxfIOM1gqO9LUL2+ARTuQlpvQh3nexQlT2+huk64b03wsn8O4lIfd/eljU56zF34gnHHzqKT01CPZUGXdf+baOPL1WZkSq+CAJFxzGhltL88bNaKrw7Wfcdjv/cECpRgzaL79qeaCLTGIHlDhGqpi7mf1fkb8cAi3h9dJZ78f33ey1nwDmrh6Ugb4xSWqaNcURXrHnhx12ZvIntZEp3afpwvq/jgje+KiVffGu+ntvlIKDza5C1m8He7nicF5hO1unE92E/9iUiIirFyUREctDdw2JTB1+N5rOvubmbhOUKVxGVR2fBYUz++RQmNVSZAgqrs3D1z7C6SyjEhB9wxNaAYJl7tV5ZY+vWTuCnOoaBRjEMnVblWq26yd85GHHKKPTZ9MqiMy7H81ifIRzSejHuudC/L7qSjuRQ87EBw3Y+d76zgbvvDEDRsfHm3Qai+2HLW0c9fz1ebeyFSONknfiR2G/1zecOFrZWQ1lnIk5avMjCo6mmFYJClPU1PmWNRrxSg04rn9p5vhJcn/MV1IZgI3LwLgcfZT8ja4xxdbuAsJ7r8UrmscCSu0vQ1jiIoxCRkHrUcZ6y2BZW1XQm7C4k0d23Om6hycxLjlduvTuM1NrG8hCN9ktuwt4CEc/TR49/tvY3rWBX1pmAPy3HgEpuYl4rNZQNJqHsBlFfbG1r6wiIkttY1CYUyho/4LC9US9JeP5cAGSquwx36tV7lLFukpQez1Z1Mk10sJsuFj7uH2HeIj1uMHZZzIn8fDQV1ezm+RLcWfitoT5SQNNrIxxWmUXnMbWxGtE9f8czBy9Je24KEg27EohVRiPLrcFuLR79MR0TVl6UYMKKE7Lk9QBuQ70ou96Ts/z6Pt9Lmue97uuaud8+ytlPlq5fIN81gqW9LcHNucmmMhDaJxOONpvRP9+EPhWNxw6EoPXie35qJyW+b6/Lmrz12A2X44kyHzo6Wn7oKMH19BZQq+186JCozEgWX5ivgPdv3uBDAH67KbmRjq8qGD5wKwRE9d+GPC/+3vucyUjSCBBiemPj3/YaMz+MEbRZ4lL+t/x9e21hYfY4VDO1XX2R6fAoID1ebOhpju8TxiDL8g+W3ML8rx3Uw5KQs27Q49lqcxyhSpyCs37cyMub2E6udJeiDydFHRe08RUAeeNbw/U8KAeBnF+lbzd9LbjbHU/zAtPJOp34PhzEvkRERAacTEQkA/2bTeht7OCrymzZ7hLDTHFDRzF+7GEHHUUt7q3ojGhDwKdQVsEoi9Um+rdb0C9aRKVhe2Brx2Hre62NiScdR8/ai9ORZDy2ILwzVlsujdW/ROZ3cVD+bzB2Wn0Bk+d5CrPHobohUFYlTcMFZx384jvI6BJbOilG1CDp52PIc+FLpLvvDNDi6qzm5mAyJQOPHQaTH7BriDlQSBhz0Gplk/bGHCRXKD0qzXxlHR4uNW8xrf52AW6bBqqLcGJibSgrfIMFd+yNXpfgxpyWhsF/EQnjHARTn49jgvEjkUKNbxbKf/TSx50DEW7KIwkYtuu144/IRacxOVEJhajBtw7uV//vZvQxpq3TbaCLcW1uK4SKpYPu0SlLcMtuVvAmfd5j99A4Q35Qosb4bFjGfMWXZ6KZWoWmaZe/uFftWfPgnhDRG5ttfJnOzxqDGip/HKHl+XMBctVdht/18j3KVTdJqxCHLCYRhvfNdPKRqQR/WXxcDemw3KLeK8aZXxtAWeFbLLxrK9fpkLsixVBeBEQN3QP74xx6PM/sh8oV6uOnP53Mhvt4EKOqGj7ghvbCxreO/7nlNf45NgnNI0RU6vk7Hsm+EE2evB6obag3ZdcX5Cu/EuR7CfO8931dI0/aRxn7yZL1C+S8RvC0t0UnfkItw+R7TWcHu82U5GLH0JqG3X0UUKgTMeWc/75MS3nfvihr8tVjlpMiRSSMy7ZfNosuYFpj84eORtPOm/OfYbKQssFkmx92pSozUsUXgA6vTy3GgKQYqEQBIdW7Ycklv5zJZ4cez9d0Nryj0kluKSueeDw5r/h+JgbVUkFQiIgfud/B5Do/jBE0noGLLlcVjtpCLa6kNTPH9x2WO+kfvsOOAZHm+H7sYauPxNqrs9CiggpNZ9quh6UiX91QiMNjzXFERP+tDiddSs3z2E7GdJegDydJHRek8VUpOePb0ut5Ug4COb9K125KJZjbHc/zAtPJOp34PuzHvkREREacTEQkg09Zo1DVuPojdhB2eDBSUnI9HV9VEGDczt72oLQeBaemoaVpMFUBhaYtlj7Umf7/y019EK2qgmG78239Aat7FSsNwx4nW1QXHRyJioZ/H9J+GR5aBDfFV9PxlUaNxtMvfNGxleV5ii5gepPSQWkhrAvWONyi+B1Oz0guDSBEFWr0W4O/HO/4a+LuO4MuFys7ms8pt1oVYPPfP0FGimG1rRiHobstL1CAA6OrQRnTHWuttla1ngxUaeQB84eiwtOYnKhCyDfzLT7QfSl/23eIMgy0x3y/F7Zfhxb3V3dDrOH5Far6mCTf8kmTz3uHIVYUUSn5e6TvuIYCh5GfHi+2D0K8UoCqwXgczbf/jz9njTYdt6BQCAjtZP8oic/Xl6BjnAiFQoC67lBsfegoVb1IH909LG5tyA/Kyhhheaac/i32DI+HMq43NtjI70XHxptWotkaINa/PYzxiWpoWszAebm/aXjxXIB8dRfgg/coU90kqZLbWPCt2jSJsIXTnREsjyARUW38MfO7LczBL/WV0LReCHvzG4uyzTuVONrGWZebiQH/p0K14budbPUMAJ+R83O90o+4ympIPerKi9Uid//PSI4VEdpoLPY42vpIIrLl9QBtQ70puz4hY/n1fb6XLs/7oq9byrP2Ua5+snT9AhmvEUTtrWV5E6uMwgFbbar+Hc6kfWvosyoc/1u5SHjfPilrMtZjBTsGmuKJWEfxxNoept0dFGI4vttmzlgldxbgW40KDX49bTOfSFVmpIovdI83oE8V0VwPKQREDdju18kU1vKxY5D5uCtF2aO0XabDP+cyMKC+Ie5VJ2LyacfL3uUZIzhvmrgmhHfFWrs7JVly0hbqcrEixZ34/iGWtjfWw5Xw/V6LicD6POwdkVBaD8vdz5Srbii5g4UWcYQrOztLyePYTtZ0930fTpo6LjjjKwCyx7eeloNAzq9StZtSCtp2B57nBaaTdTrxfdiPfYmIiIw4mYhIcpYBZtkt292ge4ZNfStBVCggxPXH1i+2o9XhzekF6JagQsU2Q9En0bCyM6wXNhmX05Tcw5L2oVDWnYA/bQ5UW99rWPff4ezI7uIzk1FfZQyeLVabljzC+j5VoK4zBgdtbZ0ry/Po8WrvSNRSCVCIGrSac832hwrdG+TM7Yx4w7+rPywTd13e3tP9d4aCHRgUa7EVbbazi+Vja3/DiqAyq/E/XUhDcng4vp5z+YsdC97vHmb4eKNE3UmnDLsW6ZG3ZxjiVZHottbedsul9K8z0ddwn6rG022sntGj4NR0JFsEJmLl4djnhz2p9a+3YUAlERFtF+CGk9f58WoGesSLEKKTMfWEo7OwtTg/rZFp5ZYgChA0yUi/+mUu0r3Yjx8ahkBQCFAm9MJqF0ZSPU4f/Wts6GU8n7s1FlvskfzhzDQ0D4tEmwXXbeZ13dNV6BRWml7Wuz0AKH6MbUNqQhXbFvMu+SURPX4uWesu+OI9ylE3Sez9LgyKMdZjVTDqoLM8r8c/mX0NHxQtd7zQI3/vCCSootFzw3P75fHzcUyoW7oDmvi/Idhla9nz+ytY0q0yNInjcOiNa4M6pZMwRCgUIqoM3OYw32hfncHqH75BFbUaCZ1mICvXH7teyJnXA7MN9abs+oaM5VeCfC9NnvdRX9fAo/ZRrn6yhP0C2a4RRO1taXkbhdpqAQplVQzc+sI67T/eROaY5ohWxSAuTmn4QCYgvPdGuNgMSESq+/ZVWZOvHtO/2oy+MY7jibxTM/FtdCiqVI0p3aFBWRVjDxvv6DPOTk2CSpOMuX/Z+swqXZmRJr7Q4d7iNqbd14yTiaIHbEegfMYpebQOPSqaJzuJVUcjy610L8Kry7uxKLU9qmsE0zOGfD0ft5x9KZdxjKCmSgGFGIpWc+zVd6Vcagvzt2OAsV+sqoEfne0Ypn+LzX3CDfVwGyy5by7IH8/9hq/CHdXDUpKpbviwC4NN4yFVMTrLvyslPI7tZE53X/fhpKnjgjG+MpA7vvWwHARyfpUqT0kqWNsdeJ4XmE7W6cT3YS/fEhERmXEyEZHUdI+wvINhNYdCheazrnq86qrkcSYG1lBBEDVI+jELL4x/qPglTmcMRP1wNar3XIyzeVrcX90VcUoFFOpGmHK2EEAx7qzqjkqqSuj5+yPbkxSs7tXF46o+5+CXBkooFCLixxzEJwAoysWBX5IRHdUCk4/9Y7dzLfnzAIA+H2fmpqCyUgEhPAnD1l6y2Hpbh/wbf2BWvwYIFxUQY5th+MqzeO1OAnnwzopPTkRtw9EHQtwg7HS6DFWPF5l9Sz+sVWiB9OslAPR4f+N3DK4XiqrdMnDdVsDzKQeTG6khKARE9Pgdf+sB/b/Z+KVZKEIaTcIJJycAAYW4Mr9N6RnpqgQM2PTAHPBqX+H0iqFIilZBqTIPEof1WI+XfommtLi3oR+qqdVI6Pgrtl/P+yIdtHm3kbV0OJrHiVDFt8OMoy8db9eve4Al7cxlN2n8AqQmhpSuCnpq/OsleJWzGH3rhkIQlajcZhL2PHRxJNXj9NEhd10PxIiWk8v0KLi6Gv1raxDfczVu2huZ0L/G7u8TICoUEOOHY68h72lf5WBhz+oIiWqO8fue+mllqBfPJXPd5ZP3KHXdJDHtpRlobNxSO7QTVts9w8VCwRGMq6uCoBAQ138r3ugB3ZsspDZQQ9N0Ks44HMDQ482h8WioEaAQ1UgcvQuPLPLD5wd78MvXsQip+R3W33bna4YeLw//gq+iBSiU8ei26Cz+sXrPhXhx9SDW/DYYX1VSQohIxIAlOXjpr7SQPa8HXhvq1fP4imzlV4p8L0Ge92FfF4DH7aP0/WSJ+wVyXSOY2lsAwHtcXNYD1dQCxIqtkLpyH06cOoY9a6bhuyYxUFVOxrhNOzC1ufGIrBC0XnTX4yOZfEeC+/ZlWZOtHivElXmtDfFENQzY/MB8LHPJP7iwaggaRoah0ZjdeHhjEdqEl05OaLf0AXTQ48O5mUiOUKLGyL22J1pJWmYkiC+gx9+/90CExY5UQmgzTD3lNDCTSBHuH12HJXNn4bfpv+KnUb3RMkFj3pVIoYAY9xUG/TIds+akI93WT3oaZkyZhAnjR2Fwj9Zo9H8RUFo8X+luU5Hose6ZS+VSrjGC03Pao5JSASGsPgatuYJ3VvnLvbaw6PiE0o/ECgWEuMHY5fSsEB2ebeiNWFEBRYVkzL1ZWg+/u74WA+toEN9jlf16WGoy1A3aS79ZxBFdsdbpaiyJeRjbyZ/uvu7DSVHHSXGf8pA7vvW4HAR0fpUqT0krGNud0r/p6bgU08n6Wfg+/P0sREQU+DiZiEhqJdeR/lXp1rVCdHsstbvHrWsK72zDhNZVoRJVqNSoA3r26oSvqodDVbklhi85hqfG0Vn9Kxyd1gZV1AJCqiWj47c1Ea6KRfLPB/G3vV6i1b12xsqHrnQn9cjLmYvO1UMghFXH19264OvaUQit2QUzDz932iGV9HlMPuD2zqnoVicMghiCig2+Rpde3dCmSQIiVQJUlZLQ86flOPrIgy0/PHhnhVmjDccTKFF9zEHXziUueYw/xn+FWKWImMQO6N6xKeLDopE0ZCUuvrM/6PDp5maMbhENURmNBh06oVXNCITU6IFlru48o3uNkwsHoWllNQQxBJUS26Jr52TUjlVDGdsYQxYtwah6StNHpa8X+OO8aKMiPMlehh861ECoMgQVE79Bl9790K93F7Rr1QCVQwWoKyWh24+rccaFEU/9v5noG2VcKZaA1COf8enWJgxPioAYFo8mKV3QtlFlaEQBYbXaY8ySI3js5qCvx+lTfB/bxjRFtFJEbMMUdE9pgqqhMWg6fA2uODluRJ93Hsv710OoqERMg7bo1Lo+4iqoUOmr75Fx9q3/VtYAnj+XH+ou37xHCesmSenxZkNPhBo+FKlbzMY1Fwv++6vr8H2TSAjKWDTq0B5JlVQIrdsPq6+7tgX+s2Pz0K9hFERRQFiNlujcuy96tE9CZU046vaejcO5nnx50eOf86sx5uvKUIlKxNb/Fl379EH3lFZoXCMaKlGFuKQeGL9oFy6+8NeXHQM/5PVAa0O9fx5fkav8SpHvfZznfdzXBTxvH6XsV8rRL5DjGgCCqr0tpcXLs+sxbURPtG4Uj8iIOFRvnIJhMzfh7EstdE9XolOo4b2pEzHlrB93NrDi4/v2eVmTqR7TvcbJJcOQXEUNQRmFOq17oG/vTmhZMwLqis0xfNV5/KMDgCLc3z4ajSMFCFF10CalBeJDVYhPSUeOnWMkpC8zvo0vAACfrmHtsK8QHxOLmskDkH74KeQ/JNpAdx8rusYhRClYT/7x4Y+gDEF04wk47MY5bvKPEagQVaMZOvTs7VFb+OnASMMxfSKqjTrg2i5T2ofYkdrCIr5vgviwGDT5fg0uOzs2XXJS1g16/LOxF8KMccRX6bgeAAsmPInt/JPuvo5bJKjjJLlPqckd33pXDgI7v0qVp6QVbO2OkefjUkwna3wfREREjnAyEZHk9Hh/Nwurl67CnitvfPORS/cOD07twOqF6Zi9YBW2HDyNe/m2OrM65P11CJtWzEf6wrX448wTONnMvfReFy5G5pkXbt2rLu8vHNqUgXlzFmPdzhO4996NKQmSPU8ZJfm4d3In1i2bj9lp6Vi8OhO7j15E7kdvpk948M50r3FxxzIsyNiHm24tQi3G8/O7sW7xHMxdvgn7Lz53bevzT09xMSsTGfPnYdmmg7j+xv3AR//xMXJ2rsGSubMwe+FKbN5zEvfe6VByYw5aVjAMFquTMK3sId1+UYi/r5/AwZ0bsGLhbKTNWYSM37dg97FreOnGONXnQ2MQbzh/XIjpj23G0ZaiF7i4ew0Wpc/G/BWbsPvYdbf+7hc8Tp8iPD2zC2sXzcG8jM04cOlv17fC17/Dg9P7sXn5PMxZsg47j93C24AJID15Lj/VXb56j5LUTVIqxomJtaBUlE6KrDHhT/eOYfj4BOcObEbG/PnI2HIEt/LcfGm693hwej+2rluGebNKy2HW9TfwuvbRf8LzSwewMWMh0tPSsWjlRuzMOoGLd1/iU8AkhZ/yOhA4baiB18/jK3KVXynyvc/yvAR9XcDz9lGifqUc/QLZ+h6lfzR42lsnCnYOKt1pSaGAWGUkDgTJVv3u37dEZU2mekz/4QFO7lqPjAWzkTZ3KdbuysGjD19eo+jFRexeswjpc5Zgw/7LeOmgopOvzPgmviA3yDZGUID7OX/gd2/awpK/kbN+Puav2I9bbk0EKsKzc3+Y4/tLLsb3cpGkbijGyYm1TXFErYknAueZ3Y3t/JnuPo9bJKrjgiK+AuSPb31QDgI+vwZhuxlM7Y4lr8almE7W+D6IiIhs4WQiIiLyUAnuLmqNEMNHEFXSNATEXCKf0OLC9CSoDMe3aTquQG7ATLYh8jPdE2SkGI4UUVbFyAP+OpqDiEgucvQL2PfwTBGOja9u+CAnILz3RrwOqA+U9gTrfQcSlhmioGN5XCPjCAoUcse3LAdEREREFEQ4mYiIiMrQ48OTizh1+anjVTHaS5jZVFU6ACJGoMPye3484szHdA+xtF2I6fi25rOvlZ9nI/JWwQ4Mii09DkP83/fY4/ejGIiIJCZHv4B9D89oryCtucr03lovuivjcYdeCNb7DiQsM0TBJ28b+kczjqAAI3d8y3JAREREREGEk4mIiMhCCZ5sGYraoQIUohrVh/+BV3YmFOVnjUENVelKYFX9CThWjgZA9G8z0TdKMKwUS0BqdqG/b4koYBQdG4/qKgUUChHxI/fjnb9viIhIYnL0C9j38EzJ3YX4VmN4b+pmSLsSHNtkBut9BxKWGaLgU3g0FQlKQxwxYi/jCAoIcse3LAdEREREFEw4mYiIiMwKszGuhmhY4auAqvEMXLT1baP4KtKTNRAUCgjqekg99Bbl6WSGz4fGIl5Z+g6EyL7IfFueno7IFXq8ObUIg5JroVaLPkg7/NJQxktwdVbz0iNF1A0w6RQ/3BFR+SdHv4B9DzP9h3vI3rwam7Ju4I3DOTaFuDC9iemYq/D2S3HHj1vTBOt9ByuWGaJAZS+O0OLyTEPdp6rPOIJkJnd8y3JAREREROUDJxMREZGJ/u/V6BKqMKzwjUOHpTdQ/MW/+oTL89oiSlRAIUah1Ywc5JersXstLk5PMnzgUSCk9SLc5bkT9F/z/jBSaypNEws1PdbjtR6A7i4WtVZDoRAQwY+fRPSfIEe/gH0Pk08Xkd46EoJCAYUYjvbL79s9/qvwxiJ0iCndmUYIa4Zppz/KeqtWgvW+gxbLDFHAchhHhJROomy3BLcZR5Cc5I5vWQ6IiIiIqJzgZCIiIjL7uBtD4wSoEr/H2hMP8eGLSUJaPP5jFBI1AhRiOJJS9+BZeRv8KLmJea3UhkEfJer+kmNjQhVR+VZybTZaVDBMLBRD0WL2ZWgBaK+no2UFAYI6CZNP8eMnEf0HyNEvYN/DpOhoqmm3GYVChaZpV2Brk5+Sp3swpqFhl0xVPHquvoUi2e/WLFjvO2ixzBAFLHtxRMmNOUiuIEBQN8KkHMYRJC+541uWAyIiIiIqLziZiIiIzPRvsW9kNSjDkzH9VJ710WXFz3F8UV/U0QgQ1PHoPCcHb8rLCmD9Bzy9dgbHj+zBukntUdn0MUhEfNcpWLV5Fw4eO43LD/NQ3uZOEdmif52JvjECBHU1dJ6+B/cKAehysWVAAkQxHC1+PY68crUjGRGRBTn6Bex72FR87EdUV5Ue/6WpNwzbc8t2Nkvw+twqDEkMhaBQQIxuglGbb+OzX+7WLFjvO6iwzBAFBf3rzegbbS+OCEOzyX8yjiDZyR3fshwQERERUXnByURERGRF/yobM9rHQx1RCx1GTsXcRQswe9IwdKgXBVEMQXybVKw997pcDdJrr6ShmVph2oLa3o+y7i/I4bJn+k8owu11fZCgCkG19qMwfW4axnVrgEhlFJJGbcMDW9stEBGVE3L0C9j3sKP4LraMaIxIUURcw04YlDoJ02fNw+KlizE/7WcM65SIWJUAITQerYbOxcEHATIdJ1jvO4iwzBAFi0LcWtML8VZxRH1EKqPQeDTjCPIXueNblgMiIiIiKh84mYiIiL6ky/t/9u77OaqqjQP4H3Hv3V2ySUgFXoihCIiBSIGN1MwAACAASURBVFNAqaFIB0EEFCkiIggCIqEI0gOiSAvSpIcO0gldaSK9K6ENMEkmmZ2d+b4/bE2yfe+5u5t8PzP88r4xueWc55zz3FNwZv1sfPvFQPT8sAt6DRiK0VMWY8up++XzKIbiPFw+fhCHj+fi9LkLuPT3Ndy8dRPX/r6EC3+exancYzh86CCOXclDedmMici7Ijw6uQY/jP4Ufbt1Rd+h4zFvyyVwM3YiKve06Bew7+Ge+QWuH9mEJdPHYOjAfujdvQsyMjqha+/+GPzlRMxduR2n7uaH+irLitTrjhSsM0QRpBD3T6zG9FGD0LtrN/QbPgELcv7Gq1BfFlVwWo9vWQ+IiIiIKPJxMhEREREREREREREREREREREREQHgZCIiIiIiIiIiIiIiIiIiIiIiIrLiZCIiIiIiIiIiIiIiIiIiIiIiIgLAyURERERERERERERERERERERERGTFyURERERERERERERERERERERERASAk4mIiIiIiIiIiIiIiIiIiIiIiMiKk4mIiIiIiIiIiIiIiIiIiIiIiAgAJxMREREREREREREREREREREREZEVJxMREREREREREREREREREREREREATiYiIiIiIiIiIiIiIiIiIiIiIiIrTiYiIiIiIiIiIiIiIiIiIiIiIiIAnExERERERERERERERERERERERERWnExEREREIWDC45MrMOHrn3G2KNTXQkQUamY82TsLo3/cgzvFob4WIiIiIiKiioL5KSIiIiJ3OJmIiIiItGXOw7F5PVE7uhoyZhxGnjnUF0REFHpFl7PQKTEerTKP4FmoL4aIiIiIiKi8Y36KiIiIyCNOJiKigJmKixH2YyxzMYpNob4IIrLLv4K1I5ogrlIt9Fp0Gi80/vMREbeINMC6EI5e49ikd2AwpGHM/uehvhgSpZz0TRlDiMJMOYktREREmglxfgpgn5qIiIjCHycTEZEXZjw8vBTfjx6Kgf26o1PbFmicVhs1Eo3QKTKSBv4eksFWGfkXsXHmOHzx2cfo3bUD3m/eCHVTkxFrkCFHt8KsCzwzhCjUzE+OYFbnFOgq1cfA7MvIF/eXIiNuEQnHuhBpzA83YNAbOhibT8bx16G+GgpKueibMoYQhZ1yEVuIiIhCS7v8FMA+NREREUUyTiYiIi8KcSTzA9T+XxwMigxJkpz+6ZE+ORe+HyddjKfXz+LUpUcoUPkqTTdX4JO0FCTF6CCXuEYJcuLHWPdU5T8YMuKeIZFI5qfHMDOjKhRdDXRf/CfEfiNXM25R+VRRYmmk14WK8p6cFeFUZhPolST0XnGHq1QjWPnom0Z6DCEqLfLblfIRW4jId5EStyLlOom0zk8B7FOTbxhHiYgoPHEyERH5rOjlQ1xZPwx19dYBjy4FI3b6OOQyP8XBqW1RTS9D1lVD96VXIWQXdlM+ntzKxQ/to6yDMhnGjEW4WR62fNfqGRKp7fU5LOxaHYoSj1aTD+KJhl/HXcWt4Tu43UeFVkFjqcs2PJzrQgV9TwBQfGkWWlWSYWg2BacKQ301FLRy0jdle0oRr7y1K+UkthCRB5EStyLlOomAkOanAPapyQ3GUSIiCmOcTEREfsnPGYYaOuvKx/i+WP3Yt1GX6eYidIyW7YnOKkO2ittC1vQP5tuTqno0zTwdHis8zHk4mjUMH2b0wJe/nsJLP/9zTZ8hhbcgy5KmTHexZfjbiFIUpPRdgWshOHmhZNzqg+z/uNdHRVaRY2mZuuBjGx4KFfk9ofgcpr9rgKRvgHGHOJuoXAinvmkQfQi2pxTJymW7Ek6xhUgrkTQWDlKkxK1IuU4SKFLqZRjkpwD2qaksxlEiIgpnnExERH4owunMJtBbt2KNar8A//g4Td5082d8GG/pFMuV3saoXXnCju4wP85GH+vfknQ18eWe8Oh+5x8ahwbWlSe6N0djv5/fB7V8hhTegi1L2nmN07M7IEknQ//WMGx9EIoSW4TTmU0dcavtPFzl8p4KreLG0lJteLv5YV0XKu57AoBC7P+6DnSSHg0nHkPYhnjyWTj1TQPvQ7A9pchWHtuVcIotRFqJnLFw8CIlbkXKdZI4kVEvwyE/BbBPTa4wjhIRUTjjZCIi8p3pJhZlGCEHdKZzEe4cXoXZ02Zh1ZF7ELn44/WOEUixrfBI7I+1TwT+MZ8V4eiENMdgscNCXPN7sKjdM6RwpkZZ0sbzQxPRLEaGXCkd4w48C81FlIpbjSYd54rtCq+CxlLTDWQ514XvToR5Xaig78nq8apeiFEk6Jtl4kx4vyjyQfj0TYPoQ7A9pYhX/tqV8IktRFqJnLGwOiIlbkXKdZIYkVEvwyI/BbBPTW4wjhIRUfjiZCIi8t2TteifaFv5mIIRO8PxTOcinPgu3TqIlWHMWISb4TCINV3GnNaOLej9m4hF5CRCypI5bw9GNzRAVvRo8NUePA3VkpoScasGhua8CtGFEIVYqbowLCcc23CyKTwyHg30EuTYnljBbe8jXBj1TYPpQ7A9JQozYRRbiLQSIWNhogolAupl2OSnAPapiYiIKOJwMhER+Sx/z0jUtJ/p3BerH4fhxy3TVcxv5xjENs08HRaDWPPDFehZ2TZYTMXIXdyCngITEWXJ/AQ7R9aDTpGgqzsM20L4ITx/z5eOuBXXCysfhWHcItJA/p6RSLXXhd5YxboQ1kzXFqCdUYKkr4sxf4TlOQHkqzDqmwbTh2B7ShRmwii2EGklIsbCRBVM2NfLMMpPAexTExERUeThZCIi8lERTmc2cWxb234B/gnDlY/m/7LRJ842iK2JL/eExyD21bahqG4bLCb0w5q8UF8RRapIKEuvjk1CE6MMSVcFvVfcRuhCRamz6FvPweUwjFtE4hXh1BSnNrzNXFxhXQhvT7PRJ0aCpESjz+oQbsNPQQunvmngfQi2p0ThJpxiC5FWImEsTFTRhHu9DJ/8FMA+NREREUUiTiYiIt+YbiArI7y3rQWA1znDkGIbxCb2x9onob4ioOT54dyCnoIRAWWp6ALmtqsMWZIR1TwTpwpCeC0lzqLX4e1vj4Zl3CISrlQbnjbhGOtCuHu9HgNiZUhSFNrMuxLipDcFI3z6pkH0IdieEoWd8IktRFqJgLEwUYUT5vUynPJTAPvUREREFJE4mYiIfPNkDfrZz3ROwYidr0N9RS4U4fikRuE3iC11fnjTzDMcLFJgwr4smXFv9UeoprNsb/3ppscI6YbNJc6ir4YhW1+G8mqIQufJGvRLsNWF6hi67VWor4i8ef4b+sbw6JrIF0Z902D6EGxPicJMGMUWIq2E/ViYqAIK63oZZvkpgH1qIiIiikicTESkNXMRCv0ZWRUXoSjo0U4xCgqKg/oN+XtGItW28jG+L1Y/9vGi/L1fn7m4J9PfmNfGeRAbzMe34J+ZTYnzw/W18dVeP5fCCHuGAGBG4et8BHynRQUo9HlVeyEKwier4F1RPvLVKQKlmFGYXxhQEiPosiRa4UlMaWaALMkwNJuCU4Uq/u4A3keJs+hju2PZg9JP3YzC/ALBO34EWcfsv0ZQHPCljSkv9TyYZxjhzyB/t1MbXrknlj90fukmFAQYk9wLPM4J7Tf4/BL9FcT9uvuN937Gh9HW3SC/OxFGSXk1qdDXCqu6KbpvGpxg+hBh056qHquC4GvZK85HflAvPYj79qt+FCC/0L+/UlQg8p2rNxYLuF0Jm/iiVWwJsKxpVhdEUrG8uSJsXKk2wc8hSEGNhTUppxUwbpWL8ZXIMYLKhMSS4PpXYZ2jCrP8FBBGfWrmqMJHpMR7IiKq0DiZiEgTZjy/+Du+79cCdZOjoERXQf22nyPryEP3nXfzM5zI6o/0RD2i6/XBkvN+Dshe38Kh5d/hkw5N8GbVaCj6WNRI64ChC/bjtn0AVYzXr3wZTRXh1JQmjjOd2y/APx47rAHcrwr3ZH60Er3ibCs8auLLPfmq/n4LT8/MjEdHV2JW5iRMnDjR/u/bwS2RZB0sSoZ66P614/+bOGkypi7IwdUyD0bQMwRQ+OA0Ns3/Gn3bNkbd6pWhV2ToYqug3vt9MXr+dlx56T2NUHBlEyb2aIRkowx9XArSu43F8pP/lhrwFiPv/CbMHtkTrZu8iSqxOsjGRNRs1Ao9xyzDiUdhlqg0P8fF7QsxfmA7NEpNQrRehmxMQM2GLdHti3nYfS3Q3bhMyPsrB79kjkCPlvVRIyEKiqJHXMrbaNF1OObtvYGyJVXNsqQVMx6t/wQ1dBIkJQE9lgV5Fn3Q76PkWfSGD37ExWLA/PwSdvw0EZ+0b4TUZCMURYeY/9VDs4yBmLr5Mnwo/l6pUccsgogDBXdwbN0izF++H9ddPSof2pjyUc+Di6Xl4xkU4eSUxo660Ho2LhUX4v7xVZg0oC3Sa8ZBr+gQXT0dXUbMw+4bgSSAA4lzzsS0eeaX17Dvlwn4uF06aiVHQdHHoHpaewydvwc3bU25OR8vXvqbWQv2fn34C1fmorXR8pG4SXnamUil/mnY1E3RfdOAqN2HCFV7Kr6eBaJk2auB9G7fYPnJkivdC+4cxvJJ/dEmvSYSjTJkfQyq1GmG7qNmY8vFF17+QvD37foa/y31obAQd4+vxaxRPfBe/RqIqyRD1seiWt1m6PbVIuy55mIHu9c3cXDZRAzIaIa3UuJgsL7zph1Ueueqjl8Db1fCIr5oEluCK2vi64Jgqpa3UoSNKwUQ+RwCpl47JrycVsi4FfnjK3FjBJUJiSWBxv5Iy1GFW34KYI6KOSqHSIn3REREFpxMRCScGY/2TkCLxDg07P8D1h08iaMrPkV9vQS58geYedb1R7vCoxPQ0GBNEEoKkvutRpkFCy4V4e7eGehe1whZ0SOl/UjMzt6FE6ePYPP8z9EsKQr1B6/DP7e2YmzrFEQba6DdzBOek9KmG8jKcKx8TJ+c6+GjVmD3G/w9rcXFLUMtA0VJgpzYH2ufqPn7fXlmhTgypSVSqyUhKSkRidZ/sZVs71GGbKxs/98TkxKRlFwNtVpOxL4SAykRzxDA67+xZUo31I2RIesSkd5vEpZs2IPjZ3Kxd30WRrWpBkWREfv2APx8zn3SzHx/M4Y1iEJss6H4ZW8u9s/tjho6CUpSO8w6ad2i98WfWDm8OZIMCUjrMQbzVm/F/tyzyN2zAmPbJEORZOjf6IqFZ8MjkWr+7yBm9aqHGF0M6n04GnN/24nDp/7CX2eOIGf5NAxqngQlLh3Df7/pVwLi5eVtmDWoOarqZcjRKWg5cAqW5xzFmfMncWDzYoxulwK9Lh7vfbsH/5ao32qVJQ0VX8bcNtGQJQlK6lBsfx74r1LlfZQ6i/6tcfvxz67p6PlWLIwpLTDw+yVYv+MQTp85gi3zBuDtaBmSEotGwzfidqBZJpXqmPUpBBEH8nFkUjqiFAmSEoMuP98us9LQWxtTPup5cLG0fDwDAKbrTm24Dg1GZ2Pt2PdRRZ+Id/pnYsWOozhz6gCyJ2UgRSdBqdoO0w75vgV84HHORkSbV4AbOVPQuZYBsmJAascxyNpwACdPH8KmeZ+haZIR9Qatwd9X12HoO3FQolPRZcE5nybsBH+/vik8OBb19BIkyYCWsy4Ev3I05NTrn4ZH3RTdNw2Gyn2IELSnWtUzf7kte8ntMDP3BYBCXNs8Fi2TdYhP642JP2/E3pN/4q/TB7Buzki0q2mAUq0DZh5z3UlS477dX2N7/HjKMkHI/PQsVo5qiSqGeKT1GIXpi7Kx/fBpnPpjNSZm1IAiSVBqdMdPf9lqoAkPD85C9zeNiCr1zrfOH4g0+zv/PcB3rvb4NfB2JfTxRZvYEmxZE10XxBKQL3EialypPrHPITjqtGNiy2lFjVuRPr4SN0ZQm4hYElzsj7AcVbjlpwDmqJijst1JhMR7IiIiB04mIhKs+O+f0a1qFN4atgl3bJ3/p9noE2MZbCX2WwNXJ4bl5wyzJwglSYJS+yvs9baYyZyHw7O6ILWSDElXFW0n5jhW1QAATLi/6TPUMSSjSfO61tUQMqJ7LMNDT4n4J2vQL8G28jEFI3a673C6vN9n3u83+HtKQlqjVOis92TMWISbvgy2RD0zm+KL+PEDg/U9GvDejPNePwiq/gwBvPprOYY0jrcMGlK7YtahB2Wv4/VF/Nw7xfoBoTeWuVw+9Bx7R78FfeW2mHPB+qBerEW/yjIkSUZM+/m4dGcHxrVIhK7K+xi39QZKF1vT1floF235+diMBbgS6h2lnx3ClPcTIOuqodPsE3jq6tm+OInprWOgVB+AdT69+Fe4uGYk3k1SIEkKqrb5Flv+cVFv8k9iaotoyPoG+Oagl4FcAGVJS4UnvkO6wZIUqT/2j8ATzWq9D+ez6JXKaNWvF+pHR6FO7/k4llf6v3mNfaPftMQPXSqGbMnze5tv9eqYRaBtBwCgYB++qqOz3nsCBqx/VuZHPLcx5aOeBxdLy8czAADk/YaPEhxJubiEOOgSmmP05lLXbP4Xm4fUhE6SoKs1COvveasF6sQ59fsNj7Avsx2q62VIumroNOMgHpSoaibc3zwEbxqS8FaD6lCs7Xr8gHXwnGMWENc9eLq6D2IUCZJkRNel98PnaKdAqNrXCoO6KbpvKkIwfQhN21Nt65l/vJW9uTiw/jPUqxSL9KG/4YpzR8j8BAentkV1g+Vn4z5aXSquqXXfXq4xIwt/PzqIKa0TYXijEzJ33SpbP67/hM5xlp83vjcdZ4oKcWXVQLwVE4XavebhaJmA/Br7x9QL/J0LGIsF3q6EOL5oElvUKGsi64Jgosf+QsaVAoh+DiL43Y4JLKcVOG5F9PhK2BhBANVjiaD+VRjnqMIuPwUwR8UcFYDIifdERETOOJmISCTTTSzvVQX6N4dju9PAwHR5jvXoCgm6tG9x1NUyl6IrWNI12TqAlaDUGI4dHhf5PEfu7E6oppMgKQY0GLEV9111CksM9iw7DTWecsrjSpv83SORalv5GN8Xq92NDtzd79/z0Nbb/ap8T019OhJE3DOzMT9Yhu6xtvPD38To/V52WFD9GZrx9MRcdH1DB1mSoa8/ENlX3A+jiy/MQiujDElSkNR9Ka6Xeh7mh9nom6xD9UG/OwY3L9fhY+s2+3Kl+mjWOB761N5Y8udL13+k6AQmNdJbnomxLeZdDeXo5TkOfNMQBkVBcq9luOXmUgqu78GcvnWhUxIw8Hc392VjforD09siWWddTZPxI066/U9MuLEoA1GSHo0mHfdYpvwuS5p6gZ0ja1kSHYbGmHIy0LV76r0P57PoLQmLGDT5ahtuu7m0l+sHoLJieWdVPt0E3w9eULeOAQiu7QBQdGYqmhms921shwWuzqUsvopfelR1tDH/G4oca5EqF/U8yFhaLp6BVf6uL+xtuCRJkONaYOKB0sfdWBTY640eDSccgdsoo1acU7vNMz/GH99/gESdpc43/cbN7h2my5jbOsq6KlSCJEWhzby/3a8kFRTX3SvGnzPeg0GSIClJ+HRzJK8aVLevFfq6KbpvKkYwfQjN2lPN65l/vJY9XQxiY/WoNeA33Cj1HcZ0awk6xzhW7kd3+9Wx0lrF+/ZePxri/ZZVoPtfFyw45yauFJ1GZjNr/TA0xldzvkLj2Gikj9yMW24e9KuA+1ACxmJBtCuhjS8axBaVypqwuiCc6LG/gHGlEOJzICL4246JK6cVOG5F8vhK1BhBCJVjicD+VfjmqMIvPwUwR1Xhc1RA5MR7IiKiUjiZiEig14fHo6EhCi1KrM4w4+GqPohXLJ1EQ/NpOOtm4n/xlSx0jLd0CvWNJyPX7fjHhFtrBiBVb11F2nwyjrsdvxTjvO0DlXWFw8jdntZoFOHUlMb2M52j2i+Aqz6/5/vt7bjf96bjvE9LVYK5p5r4co+3dScin5nDy61DLIkmSYKc/Ak2lF18UYK6zxAouLAIH1ZTLH8/ujHGH3jqeTVL8RlMbW77gJCOSSec1zGYcW9Zd1TW18TIXa/s/6vpnwVoZ3T6UG1Mx9h9HlbNFJ/D9HcNjme5J3QJB9PNX9A1QYakVMHgTW7WmxWewOQm1q2IlVj0/c3TS8zHX0t6IMX6znV1BmPDXU+DMzNu/9QJRkmPtAlHPSZr/C1Lmnq2GZ9Wt5QzffOpOBPgcjT13kfJs+glSUGNXktxxcPubvnbPkcVax2Laj0Hl30cU6tbxyx8azum45zL52zCzUUdYbT+nK7BOBx2c9/FVxejs3XHGn3aBBwrsvyd8lDPg4ul5eMZWBQh9/t3HHVBVxVdF18ss0LNxvxgKbpGW5N3tb+E66ZUvTinbptXjKu/9kR1neXDj7HFNJx2+8iLcWFmC0e7bmiIicfdRWBxcd2919g2xJpIrdQCM/4MlzW+/lK7rxXquim6bypO4H0IrdrTUNQzf/hW9nR1hmLLf2VLnvn2UnSzJfoNdTBk8wNr+VTzvn2sH4Y0fLnT9YRSy3/wN+a1ibL/vCQpSOo0H395qCaBvXMxY7HA25VQxhctYotaZU1UXRBN/Nhf/XGlCNrkQETwrx0TVU4rdtyK3PGVqDGCGOrGErH9q7DNUYVdfgpgjoo5KiBy4j0REVFpnExEJMwzbP08Bbq4rvjF+XBj80Nk902wrnRRkDo8x/3qAvNDrOwVB1mSEdNrFR67+THTzVXom6LYO4NDNj/2OFB4uroPom0dzYR+WJPn4YdN15GVYUso65E+OdfNgNLd/T7Ayt7x9jOh64ze536nA7XuKbE/1j4R+Pu9PTO7Qhz+toFjC/ouS3DH4whO3WeI54fx3Xux1kGtAU2+O4ZXXv+jJ8juHW1/3yVWupofYVWfOCjVPoXzOPqVUwJBUvRIG7MPHnMIBXsxqpYSBoMXM+4t7WY5RsbQBFNOuUmV5P2Gj6yT+pSqvbHCw2Hlr09MQfNo25GAyejx6w3Pq9jMD7C6XzIUXXUM3vzUww/6W5a09WzTYGsZ0KNJZqArVlV8HyXOopegVOuJZS6XVzn+9sNl3WGU/EzUqF3HAPjeduyA69z1E6ztb/s5GVUGe1jBZv4X2X0tscXYdSnum1FO6nmQsbRcPAMr0zUs7GBrwxVU67vS7YpKAMCrdehvW11a6V1Md5ENVC/OqdvmFV1ehC5VrM9bXxcjd3mKqUDeyp72dl2pMRTb3VRecXHdg+Lz9iSfnDAAG3xfhhpWVO9rhbhuiu6bihNEH0Kj9jQk9cwfvpQ9XTK6L73u5roLcefoasydNhPL/nAcLabqfftaP0bvwRNP77/wCMa/rXN8lEjogPkXPe6dGdA7FzMWC6JdCWF80SK2qFbWBNUF0cSP/dUfV4qgTQ5EBD/bMUHltGLHrcgdX4kaI4ihbiwR278K3xxV2OWnAOaoKnyOCoiceE9ERFQWJxMRifJ6B4a/oSC6y5ISH+7M91egV4JtG9jaGLXHU7e+CEcnpEEv6ZE24ZjrAZD5PtYOqGE/z9vYejYuelx1UYSj375tHfBJiMrIwg1PA5K8NfjIdr26FIzY6WZLfLf3uxw94233Wx9j//BhNVtQ9yTDmLEINz2OyQQ/M5viS5jd2nF++LvTz3k+P1zNZ4iXODi+IQyKLQnyCdY/8mVk/9RpECkjuudyx/bPr7bh8+oKEvqtdjq/2VZGrX+nal9k3/X8d0w3spBhWzlRqQVm/hWqHRcKcXBsXct7VSqj48IrbhLar3Fp8yyMGzcN2Sc9JAyLLmJ+Rpw9OaBvMhm5HsdlRbiW3R+pehnRTSfhiKdTbPwtS5p6hk2fVrPUJ0M6Jp0IdOWeiu+jxFn0ejSenOtlMkIhDo6tZ48hcf3Xeh6AAxBSxwCf244v3bUd+XvwpS05oESj69J7HpLcRTjxXXrJNqY81PNgY2l5eAY2eb852nAlGZ9s8JwUNt9dgs7Rto8s1TG89PmqasY5Nds8020s75VkT1BGd1gAzzt2F2DvqFr2Ol+510q4rL4i47onednoY10RH8xq2pAS0dcKZd0U3TcVKZg+hBbtaajqmT98KHv69Ik45k8+Xu379qV+VPsI2fc81w/zoxXoYZtUKumRNu6gl49QAbxzUWOxYNqVUMUXLWKLmmVNRF0QTZOxv8rjShG0yoGI4G87JqKcVvS4FanjK1FjBGFUjCWi+1dhm6MKw/wUwBxVRc9RAZET74mIiFzgZCIiQcwPN+LL1m3x1ca7Tp1kM+4s7WY981iCrv4YHPD4jawIpzKbQK8k4ON1rj8AFp2djveMsr1T3nGRu9VVVqYrmNvasdNQEy/n3ufvHolU27a18X2x+rHrjqnr+zXh5s9dEGu9X33DiTjmw/LDYO+p7CoKdX+/t2dmY364HD0qOwZWo/d5Hiqq+QyL/16ETrbBiKTD2+MOwqdNyU2XMceeEJBgaD0bl4pLXt/YrQ8d12e6jDlOzyZ90jGvO0g8XT8AibbBbfWh2K7FRyCXCnFwXH17gk+Ofgu9p67B0RvPPZcHl8x4/Psg1LCvCDGg5awLbpMpr+8cxfIxbVDDIEP534fI+tPz2/G3LGnq9S6MrGlJDOjqfIXAL0299+F8Fr0c0wFZ17z8huKLmPW+IxHWYsafXhNhIuoY4D4O3P7lQ3sc0NX/2m3bUXR6CpoYfE0OFOHM1GbQK0kY+PuLEn8/kut5sLG0PDwDm9c7v3Bqw3tj5UPPyaXCw+PQQG+LYzEYsN75otWNc2q2efnHJiLd4Ljuzktueo4bxWcxrbmtHkahzdwrLn5ebFz3pPDgWNTTW5K5iQM3wM2m+mFNRF8rlHVTdN9UpGD6EOLb09DVM394L3sGNPfrI5r69+1b/TjutX4U7B2FWvZ240P87G2mSgB9KFFjsWDalVDFF/GxRUzbrV5dEE+bsb+a40oxtMqBiBBoXkXNclrR41akjq/EjBFEUiuWiO9fhW2OKgzzUwBzVBU9RwVETrwnIiJyhZOJiLRkuoklXWLsW1e+yNBIyAAAIABJREFU/e1hLx29l9g0KAmysR0W/ONqoPEUW4emWldHSZCjOyDL4zapgPnRSvSKs+00lIqRezwNLYpw8vvG9lnuUe0XwOVluGO6gnltbdu4+pqACvaeauJLj/ck+pk5vNr2ufVcdgly0gCsD+T88ICe4QvsGlnbPuj1azVOfg6G1VDcDiJLMz9agZ72BEJdjD3o7atvPnaNTLWv6Ivrk11yxYumzLi/opf9XGr7PyUKVdLaoM+I77DgtwO4+tKHCzTfxbIejlVfcqUWmHLwGq5dvYKLF87i+N7NyF4yG1PGDEX/jIZINsiQdIlo8ul87L/j/Uu5KmVJkMKj3yLNIEGSFFT91MN2xV6p9T6cz6KXEdVhIbzlacx3f8aHMY6VQN8c8vZOtKtjAADTNWRlRNvbjgbjD7lpO0y4sSgDUZItoTMWnqtkPrYOSYZsbI+FHh5SZNdzq4BiqUNkPoMi5E5Ot9cFY0dvuxeYcfunTvbyI+mqYuh2p5ImOM4BCOw9mR9j3SdVndr1jljs5eO36dZP6GTb8t/QEBOPufgrWtyv66vD9YXtLe9BMaLzktva7lygCu36WtrUTdF9U7EC70No0J6GrJ4Fr2TZexNfH/Dja5VG9+1//bB+wLGN/XzYiaTkO6+Hb7z+De3iA4Cg2n/x8UWD2KJBWQuqLginVXlTcVwphMb1TmVqjIWDK6eMW2pfpybXKmqMIJRKsUSD2B+uOarwy08BzFExR+VWpMR7IiKq8DiZiEhDpmtZ6GAbDBgaYeJxLx29opOY0kQPXdq3OOLqR/PWYUAV2dHhb/ED/vTS4X+VM9S+OkVO7Ic1Tzxd8HUs7OA0y31yrl/JgeLz0/FeJdvqg/cw47wPa7+Cvqf+WOvpnkQ/Mzvn7UZlGDv/hNsBdNIDeoZPNmBgNcdAUPf2OBz28btD8V8z0cL29yQZMb1Wws1mVACAV9uGOhIIVQZho7ftEwqPYWJDvX0Q3iHLy4o+wcxP92JMQ4M9yVL2nwxjrS6Yuveex1VAZuejhEr9kxU9ouOrIKV2PTRs3g59hk/E3JXbcfyfpz7WJ3XKkhjFuDj7fRgkyYftir1T5X2UOItej6aZZ7w+5yfrPnZanfM5trk+6N3pP9CujgGA6co8tI32pe14gjX9HGfWezyLHgCKL2BWK4Nl9ZOHhxTp9RwIMJY6ichnYPoHC9o72vB3vvfWhr/Cts+r2RPukqEZpp5x/Bdi45xFIO/J/N9v6Jfk1K63nAlvu3U/c16RV2MotrvYkV2L+3UtD7/1i7fU40rvYbqfZTUsaNbX0qhuiu6bChVEH0KD9jR09Sx4Jcpe8ifY4MdHNK3u2+/6YbqJxR0d77zx9yf9fOdDsNVbH0rD+AAE1/4Ljy8axBYtylowdUE4DcubWuNKITSud+pSZywcVDll3FL9OrW4VlFjBNHUiCXiY3+45qjCMD8FMEfFHJVbkRLviYiIOJmISDMmXFvYHkbbFqBp411PEHL+L24uQsdoBTVH7oKrMeyr7Y6OoyTp0ODbw27OcLYpwvFJjXxfbeo8ANWlYMROf/a/LETud44dEaJ8WdkQ9D3JMGZ43nlB+DOzKb2N9rSzASQNA3yGTokrSdLhza/3+ba1LYAnv/VFnH3ljR7p33n6+FwygRD94RLc8TLgLDo5BY193t5WG68vr8XoNimIKr3iyDnhEtcSmcfdj94L/xiDN21HA0kKag7biBt37+HB4+fID/YWVSlLojzBmn7WFW+VmmPa2eCvLOj34XwWva6mD6tAn2LjoKr21TlJ/dd6TZxoV8cAwIR/FrSztx36hhPcH/uUv9u+pbekxKCbl+SZ+cEydI/VodaoPR6uvzzU88BiqUOEPoO81ehr2+ZcVx1DvWXDi3LxfWO9o55VGYSNTpk+oXHO8hcCek+vc4YhReeoU2nfHvXSrhdg32jbqk0ZlXutxCMX71P8/brxegeGv2Hdmr/e1wirDR58pFlfS6O6KbpvKlQwfQgN2tOQ1bOglfqI1sV72XOmzX37Xz/wdB0G2D686lLxxS7/3nli/zXe+1CaxQcguPZffHzRIraIL2vB1QXRtC1v6owrRdD6OahKlbFwcOWUcUvt69TmWkWNEbQQbCwRHvvDNkcVhvkpgDkq5qjciJR4T0RExMlERNox38UvXR1HnNUb84eXI87MeLy6L+L1KRiW42pQUoTTmU3sCQpJVwWfbfHyodB0FfPaOp3bnnna4wAhf9cXSLXNco/vi9XeRi8l/uM/MPYtnXXAEI32C676MOM9+Htq6vGexD8zm5LbjdbGV3sD+BoY4DM8Y98+V4KkxONjn/cbfo5NnzntSqGriZG7PQw/TVcw1ymB8O6M814SCEU45fT8DS1+8LoyTDPml7i6dxlmfD0AHZukIFZXehWXjMods3DV5Qsw49/l3WG0P/PK6JP9WLVjaVQpS6IUHsTY+pYyqlT7HNvUOm87iPdR4iz6hI+wJs/L33q2CYP/Z0tuJKLfb/96eXca1jEAMN3CT50d20fXH3vQbdtRdPJ7p+RAS8y64LmCvdwyBNX01fDZFg9rw8pDPQ8oljqJ0GdQeGgc3rImkeWYbvj1vueSbfp7HtoaHXUstttS3LX/J2LjHIAA31MxLsxqaVl9KkmQlCQM3uRlM/vic5je3GC9zyi0nnvFxd/R4H7dKDg4FvX1lsR/ytBtQWzNHyra9bW0qZui+6ZiBdOHEN+ehq6eBa102Zt+zo+PaBrdt9/1AyjYOwq1bO1GfB9kexv7lXjnyRiwLs9rH0qz+AAE1/4Ljy9axBYNylpQdUE0jcubTVDjShFC9BxUospYOKhyyril+nVqcq2ixggaCjiWiI/9YZujCsP8FMAcFXNUbkRKvCciIgInExFpxvzfavR12uVn+A4voxpzHtZ9UgW66p9hi8utKl9h48B4x3arxgxkeVnuZP4vG33iHKshvvS4GqIIud+/41hN1X4B/vFjJP1y10inZHQ3LPVpz1vR9yT69zv9JafVa3LSAKx76tN/VkJgzzAfmz9NdNxjpffxo69LG15ux9AUp21x647GXg/F1PxoJXrZno2+Dkbv95JAKDqFKU319sFOix/+DKNkszMz8u+dxO+zh6Kl0zbBcnRnLHG51MOEq/Pb2s8AL300ULDUKEuimO/9jA+jrTGizTxcEZJt8+d9OJ9Fb4lb3s6if7ppMKrZn28//Paft3qmXR0DAPNj5xiUipG73P0HJtzI6uDXWfR7RtWGLrEf1uS5v+fyUM8Di6UOkfkMzHi0vDuirasFDe9OxzmPF2HG/WXdEWtbkajEofvS205JS7FxDgj0PRVg18gUR/LT2B4LvVR68+0l6Gzfkr0hJrrcP138/bpWiGMTGlpimC4Vw3IibyqRln0tbeqmdvcjQuB9CC3a01DVs+CVLHu1MXqfPx/RtLlvv+sHinBmajOndz7f69jP+Z0rVQdig9djfLStT8G0/+LjixbPQnxZC64uiBYO8dvfcaUI4fAcAqfGWDi4csq4pfZ1anOtosYIoeJPLBEf+8M1RxV++SmAOSrmqNyJlHhPREQEcDIRkWYK9n7l6CRW7okVXvbLtZzvrUPtL3bC5Vwi8wP82s3o6PA3GIdDXo5Ne71juH2bXzmxP9Y6JXzNTy9i1+97cNm2CZLpGhZ2cKymSp/svM3pa9w4tAmbTz50M2v+GbYMsQ3cFSR/vBb/Ot1umb+l1T2J/v12RTg2saFjG+2Oi11vQW+6j9zNG3HkjqsufIDPEM+xum+0/R6V6sOQ42Pu6uWOEfadqCQlFm3nXvQ4uHi13bGNrpw0AN4WvhQem4hG1hUpcpkVKQW4dXgTNp98oM3qL7MJJq/jNDOenZiONrZJgIbG+P6k64/O/yxoZx8gy7F9sNrXRUBeqVGWxCk89I19B40aw3N83ka5DLXeR6mz6L1uz2x+jHUfJzvVs3Ulto92Xc+0q2MAULB/NGrb245eWOk2kfQaW4ZUsd67jKSBG1y3HTaFhzCugR6JH63GQw/PPqLrOYDAY6lDZD4D59W4MqoM2QKPOUHzI6zu50hA6moNw/YSSWGRcQ4I/D3lY9PgBMd1vzka+7206882fIIkxVZ/h8L16W+i79eNolx8944lyafUGoldXha+hyXN+loa1U0N70d9QfQhNGlPQ1TPVOBv2StJm/v2+xpNN7G4o/M7P+HXO682eCOcmw3bO7/kPCdS0/oUXPsvPL5o8izEl7Xg6oJgWpU3VceVAlTUdsxJUOWUccvFmCUSxleixggCqRZLRMf+8M1RhV1+CmCOijkqNyIl3hMREVlwMhGRJsy4s6SzfZtZ7zsEmHDzl66INzbHNHcrSMyPsKy7I6lh7L7MY2cbKCpxFq8xY5HTgM+EK/PaIKpSM0w9Y72wvN/wkdNOSiN2On2GfLoOA5IUJA3a6PL4DXPeenxSVbGvUhi6zXm4UIyLP7ZCVKV3Mb30QxB9T6J/v/3/uoJ5bZy3oD/jYrBoRt7mz5BqqI5PN5cdTgX8DJGPLZ8l2ZMm+qZTcMqnc9keYk3/KvaVW7r6o7Db4yivVAKhyxJ4XkSRjz/G1LOfP29sP7/kFsBPfseg/+mQ/OkmiM1LFuDiis/RrFoUKtfOwJT93o5jyMOqXtbjCT2sQnyyqjeibQP3GsOxQ61FuSqUJZGeru5j3fkkCu0W/BPAwFPl91HiLPoaGJbjeUmV+f5K9Hb6+U83O38Gc1fPtKpjAGDG/aVdHW1H82k4667tMN3Eoo62suL9fRQcnYC0SlUx0OM2ApFazx0Cj6U2kfoMinFuenPrZCLvK8/MD7PRx1YXlCi0mHGuTKwRFucQzHsqwJ5RqfZ6FdV6Di57DESvLKsdre8nttcKuJvbLfJ+3Sk48i3SDBIkSYc6X+3xPAEsXGnV19Kqbmp2PwIE04fQpD0NTT0LXqmy1/kn3PKzAyT+vv2tH7CO75zGfl520S39zj/b7PwVoxiX57RGlKEJppx2KnUa1qfg2n8N4otGz0JsWQu+Lggl/BmLGVeqrqK2Y3ZBllPGrTJjlsgYX4kbI6hP/VgiNPaHcY4q7PJTAHNUzFG5FCnxnoiIyIaTiYg0UYxLsz+wn9dt7LmixMqCMgqOY+I7BiT0+BW33fa0nVfaKKg2LMftGcUAgNeHMK6h3j7gK3Fuu/k2lnSJhpL6BXZZVy/k7x5pX50gx/fFaqcLfpUzDCk6IzotvuViIGDGv7/1s6/o0dUbjX3OY6XivzCzpQG6t8fhcJmVQWLvSfzvt/5fpbe1dnV+ePFFzGkTDV3tL7CzzIysYJ5hEU47nYMc1XquT1v7FpyejhbRjq2/B6+/43ngbbqCuW0c5zO/5+185vwD+Lqe7SzoGHT66WaJ3/9k/SdI1sWj98oHqp7lXlrx5XloG2s731xB6sjdnsuA07bm+iZT4G4BadGxCdYPwNZVQH4la4pw7ffvMHpxbtlEXdBlSSQTrsxtbVnxpquKz7f7v+5L7fdR4iz6+D7I9rgdtBn3lvdAnG31Yepw5Di/gOILmNXKVT3TqI4BKPGMJQnGrktx390tFeVisnVHE0lJxODNnt5HPg6MqQfDG0OxzVOyKELruUMwsdQqYp+BCbcWd7KWHSM6/XTbw98rxsU5ra2JVxn6tNHY86TsT4uKc8G9p2L89UMLe/8qunc2PO2yb76zEr2r2LZxj0LruVfc1kNx9+uOpV7qJAmSoREmHvU361+M54/+xauQf8jVpq+lXd3U6H4ECKYPoU17Gop6poJSZa/ZtLN+HxMg/L79rR8ACvaOcuyim1By7FeWGQ9W9HS885TPsbXEN5BLmN3aAF29MfijxL1pVZ+CbP81iS/aPAuhZU2FuiCW2GcsalypvorZjtkFXU4Zt0q2BpEyvhI3RlCbiFgiMvaHb44q/PJTAHNUzFG5EinxnoiIyIGTiYg0YcLNRRnWzraM+EGbPGy3asad7L6oVqkBvt7nadRlXdVkHeSkjNjpYZBThCuLOiPB2lGVdNUx1Gk1hPnxavRNUFB18CY8s/7uf+Y7tsU1fPAjLtp7pgU4MKYudG7PYH6OjYOSrckWHWqP2lPiXgtPTUFTgx5NMk+5WL0i8p60+P3W//KoY+AuV+6FVS6S8U9yhqO23t0WssE8Q8tgtZZ1sKpPn4QT3hKVhZeQ1SXJshpFMSJ97F54OJ7acv8lzmeuizF/eN4zuij3O6TbnklsZyxxXg5ovo/sj5Kh+98nWO/xw0XwXq7/GLH2d5qKwRseeh4sFRzG+DQdJMWID2Z72O735XYMrWFNPkX3xIrHvl6RGf/uHYdmlRVU7fFrmbPTgy9LIhXh6LdvWz98vxPQVv3qvo9SZ9F3WOjlLPpnWNc/zp4YTh2xs0SyrOjMVDSvpEeTKWXrmRZ1zMKMuz87drWL7pNdJt7Yf/LRKvSJd+wo8MUu99HN/GAtBlQ3IH3iUY9bf0dqPXcILpYCkf0MCg98jTf1loR4m3nuE+LmhxsxuKYluSRXaojRe5+4roeC4lyw76nAfp8SjJ09rMorvol1g+pYV+RJkAxpmHDMQ+UVdr9uPNmMz1IUSJKM2I5Z+MfnLxjFuL9vBnqlJUCvyDDW7oGFp0N5Ppo2fS3t6qY29yNC4H0I7dpTzeuZCkqWvVoY5eojmjeC79vf+gEU4czUZo53npGF6x6f6QtsGOj4uJ46fHuJ3WqLzs9Ai0qWo9JK/mWt6lNw7Yo28UWjZyGwrKlSF4QS+4yFjStVVxHbMYfgyynjlprXqeW1ChsjqExILBEY+8M3RxVu+SnLNTFHxRxVWZES74mIiBw4mYhIIwV7HDv9eNoa2XQzG/3f0KPmZxu9bJ8MFJ+bjncrybBt1+x6cGzG00OT8J6toylJkIxtMd/+lcqM+yt7I0FfHYM32rYSLcb5Ge9ZV/EoqPr5NkfHNv8wxqfpEfX+LKcJRs43cAVzW1tnyOuqYchWp6GP+TE2fZYCXXIvLL/j+ubE3ZM2vx+wrOyt6WEQZ368E6PSDDA2n4zjrr73BfkMUXAC3zW2rP6QY7rgZ3c/BwB4hsOTW1gGzIoetfv+jD99OFflVY7jfGal6mBs8rIVbsH2z1HF+vNR7ReU+EhaeGY63jUa8M53J7ys+gne682DkaQoqNriU0xfdxZPPdYxM+6tHYAUnQz926Ow28VOHU6/GQfHvmVJXOhqYuRuXw6nKcLNrWPRIklBdKMR2ORiG7Kgy5JQhdg32roVeHRnLPFYzlxT9X2UOou+xCpQV0z/YH57Wz2rik83O30GM+dh85BUSz1ztT2cBnXMpvDYBDS0DvzdrzArwOlpLaw7y0iQlMr4aI27lM4LHJrQGMYqbu7NSaTWc7tgYyki/Bm8yMGImoolQTV6n+u/abqDjUPqWmNXFXT4MRfub1FMnFOzzVOqD8U2V7HQ/AxHMj9AvK2OePpZ0ffrkhl3lnW3XJ8uBYM3edtS38F0fRl62LZIlyRIkozkAet8TAaLoUVfS8u6qcX9iBBwH0LL9lTTeqYO57InJw3AOk9bHbgl9r79rR8w3cTijv688xvIyrC+cyUZgzY6/4Gn2DasJnSJ3fCLi+M+NKlPQbYrWsUXbWKLuLKmTl0QS+QzFjeuVF+Fa8ecqFFOGbfUu05Nr1XYGEFdYmKJuNgfvjmqMMtPAcxRMUflWqTEeyIiIiecTESkldf7Mbq+ZeW/8r+B2ODqK8/z05jXtRqMaV9ihy8HdJtuY2WfqlAkCXJyP/xWZrtUEx4d/hFdU/Wo0mYQeqdZtxeN6YmVedYfKb6Cee2joas/GvucBnrPNw62djZ1qD/ukHVVqRl5mwYjRR+Hrr+4OuIMgPkhlve0nRndGnOdRhUvjkxCs5g4tPnxnPtOqsB70uT3AzDd+gmdYixJpJK7OgEovI41A+tAn9QWM0+6OZwg2GcIMx5s/hxv6mVIihEtZ5x18xH5EQ7+0Bkp1p9rMDgbl33aCbgIx53OZ47p9ivueSmuhUfGo4HeMjmt5qg9juspvoZlvavDUG84tnvc7lcd5odr0L+qgsptf8R5L/f68kwWuqcokBNaYOIB7x92LRMBFUiSguofr/H4TIoeHMGSL95HdYMBqZ0mI+em65RC0GVJqALs+iLFUpfiB2KjH8kHG1Xfh/NZ9Pra+MrbqlPzY6zqHWutZ20w729HPXt57Hu8G+upnomuY06KzmL6e5YElBzbAQuvlo28BRcXolOSDtXS0lBdZ61nw3NcTAox4/HeMXgnpgZ6Lv3bcyIrguu5XdCxNNKfQQFyM5vDqEjQp43DoTJl7zmOz2iLRJ0ESYlHi4n78K+XSxMR59Rp84airkGGpKuBj3+7V7J/8vIvZA9vhgR9IpKTddZkrozYXivgrasl5H5d/sfnMP29KMsW+e9MwnGfM3km/G1fLe/4Z2g+DWdDedaM8L6WxnVTg76jCAH3ITRtTzWsZ6ooWfaMHRfhZoBzmcTdt//1A0/XYUCS05Ele7x1Vp7gt37WlfOldqt9dSITLWJj0WrGKdcry7WoT0G1KxrGF41ii5iypl5dEErgMxY5rlRdRWvH7FQqp4xbKl2nxtcqcIygJlGxRFQ/I3xzVGGWnwKYo2KOyrVIifdEREROOJmISDNmPNoxCg2NMiTFgLRhG3DNqWf4+uomfNMqCVF1PsKyi7735IuvZ+Pj2nrIihHpX+Xgnm0gV3gfh7M+RoNYA2r1mIujeUX4e8mHSNZJkAyNMOFoPoBCXPqpG6rqq6LHr9dKDqxfHcT4RgbIkozK3X/FXTNg/m8PvmkajahG43DA7QlsJtxc2h2JinNy2YynZ5agX10jUnoswV9exk/C7kmj3w/zQ2z8NBWKJEFJ+Qybravfih4cxOwetRAV3wyjttzysN1v8M8Q5ic48kMGqukkyLHpGPzLSaddCkx4cv53TO37NmIVCUpSU3y2+Cge+vrh0XQNCzs4zmd+35dt2l8fxDdv6yBJClKGb8crACi4iW3ftEBCfHOM3/uvRknVIlxZ3hc1DQakdvwWa8/llbn2oryLyJn/GZolK9CntMPk3fd9ODccAMy4v/MbvJsgQ9KloOuco/i3xC/Px70z2/Hz95/g3ao6yJXT0H/eQdz39PCCLksiFWL/15btwJWUEdgZ0DIW9d5Hwf7RqGPdxlxO/gQbvO69b8Lt5b0s55RXaoEf/rLUs2fnfsHH9YxI6f6T53omso6V8vLYdHyQZE0Edp6JQ4+cPtpdXI4B9QwwNBiGLXdvYN3gutArEuSYJvhq2y3H8SLml7i4ejgax0fj7eGbcc9boY7oem4TZCwtD8/g2SF83yIOshKP1plHYVswaX56FqtGtUJVvQy5ciMMWnISvi2SFxDn1Gjz8By5C7qjpkGGUqUlRi7eggOH9mLTz5PwUeNE6Ku1wJcr12FiM+vHHSkKredc9iG2i7jfsn8jb/MQy+6Vuurot/quH2XEjNtLOjtWfNomE7Wcib9COZkIgvtaIaibwvuOIgTYh9C8PdWknqmkRNnTo9nUM0H0wQTddwD1o/CPMahrf+cDsN7rzh1m3MvuY1l4Uqk5pp+zvPPn53/FJ29Fo0bXLJzzMJwVX5+CaFc0ji/axBYBZU3VuiCWuGcsclypvorUjtmpWE4Zt1S4Ts2vFRA3RlCTqFgiqJ8Rtjmq8MpPAcxRMUflTqTEeyIiIgdOJiLSVBFu752Jvg3joSgyYmq/h869+qB7+3RUM8aifq9p2HnT/xFP/qU1GN26BvSKHlUbdUCPnp3wbq1Y6Ku9h8/m7cUtW0/d/AC7J7VBdYOMqJot0PGDOojVJ6HF2O2466LT/uqvVRjWPAGKLgFvd+iElnUqI6p2dyzwtsKk8G+sGd4ECToFSQ0z0C2jMWpEJ6LJZz/jtLdt9gXfk1a/35x3HAv7vYVoRYfEt9uiU+sGSK6kR9V3P0XW0cfeO+oqPEPgBS6un4iu9WIgK1Go8nYrdOnZFW0apyJOL0NfNR09vl6I3df8XIZSfA7T3zVYBsQJnbH4H19SLWbkHfwBnWtFQY6phVZdu6BV3XhE1+mCKTvvaJysKcCNPQvwRYfaiNZFoUra++jSqy/69uqCdi3fRrVoGYaq6ej61RIc8Xtkbca/x5dgeKtq0Cs6JDX4AB/27o1uGS3xTu0E6BU9ktO7Y9ScDci951tdD7osCVOE45MsK2KUWl9iT8B74qrzPl5t+xzVbCuehm6DT5vvF/2DdSObI0mnIDGtA7p1bIyUmEQ0/vRnnPKpngmqY2WY8ez0Cozt0QhJehlKYj206tIDXT+oiwS9HlU/GItN161Bq+AGds3qj0YJMiSlMuq07IJevbuhbVoVGCrXR4/pu3HHl2Id8fXcKphYWk6eQfGd3cjsWgtRihEpzbugx4ctUS/ZANlQFc36T8aas0/8jCPqxzl12rwi3D+6DJOG9EDrRimIq5yMWu9kYPCUlTh6vwimW4vRKdq6MtSQhglHfd3RRMD9Oiu+iDltYiBLMmLbzMYFfzdaeX4c8/u9g2pxlVE9rS1aNTAivv86eM1Va0BYXytEdVN031GEQPoQoWlPBdcztZQoe+0x/1Kwn8oE3HcA9SM/Z5j1uAQdag3f7lv8KL6O30e96/TOmyAlJgHpAxcj95n3VkV4fQq0XQlBfNEmtqhc1lSvC2KJe8Yix5XqqyjtmJ3K5ZRxK8jrDMW1AhA3RlCTqFgipn8Vnjmq8MpPAcxRMUflQaTEeyIiIitOJiIKBdNzXD28Fb8tXYCZU6dh1qKVyDn3yMt2nt5+5zNcPbQOS2ZPx7Qff8Lq7Ydx5Ymr3rgJeX/uwMpFszB99i/4/cgNeNz99dUt5OZkI2vWTCxYuR3nHvk6cC3ArSMb8MucGZiZtQrbTt71//xdUfek1e83P8PVw1uxauFMzJi3FOv3XsBjv3rpKjxg1RX0AAAgAElEQVRDACh+git/rMfSBbMwLXM65i7Jxsbdubj5MtAhvhnPL+dgyey5yD5yz6+BhynvT+xYmYWZM+Zi6foDuPI8lOsf8nH33AFsX78ci2ZPQ+aMOcj6dTU27j2L+8F+pzK/wp2T27AiazamZ07HnMUrsD7nAHIv38erQG456LIkggnXszogSpIgVxmCbcHmIoJ9H8V3cXDZLMxatBUXfJ58AAAFuH3sdyydOwM/LFyJrSfv+F/PVK9j7pjx/OpBbFzxE+bNyMS02Yuxeu9luKpGRU+u4vCmXzHvh0xMyZyFBcu348wDf+6svNRzIPBYWp6ewWvcPrYRv8ybgakz5mHp2u04du1FcIleteOcWm2eG0/XD7Cs/pMkKNU/xzZ/j+hQ/X4BwIz76wYgRSdBNqThmz/cbvvom6LjmNgoHh/+cjt8VhcK6WuFsG6K7juK4G8fIpTtqZB6piZr2Zv/EzadfqRe8l3V+w6gfpgeInfdAvyYtQV/+RWGCnHn+EbHO8/1850Lr0+BtCshii9axRbVypqguiCS0GcscFyptorQjjn+Q/XLKeNWENcZqmv1LOgxgqoExRIR/auwy1GFWX4KYI6qFOaoSouUeE9ERMTJRERERBSg15sGIUGRIMd8hLVeNiwjIgqdAuwdVQs6SYIkyYjttQIPwyF39vIgvmmohyzpUOuzjXgQ5DUVHB6PtPguWHI7Ij7rEhERERGFUJiOESggzE8RERERicHJRERERBSQ4ouz0LKSBMnYGnMu8+M1EYWpotPIbKa3HF8gGdB6zuUw2EXhNXIzWyBakaCrOxRbgp1JZH6AdQNTkfrpRvzLjyBERERERJ6F5RiBAsX8FBEREZEYnExEREREgcnfhS/eUCDpUjFyd7jt4U9EZFF8eTY+MMqWDwWGpsg8HdTBsqrIPz0DrSrLkA0NMHLHv0EfS/bij2/QMK4VZp4P/b0REREREYW7cBwjUBCYnyIiIiISgpOJiIiIKDDmx1jbPxGyZMAHcy6jONTXQ0QVhvnFFexZtQQrc87jkce8fz5OfNcYetvxBe3n41Kog9XL48hsVRmyEo13xu3D02BnEr06ienvJ6LxtwfxXJULJCIiIiKKPBE9RqDgMD9FREREJAQnExEREVGAzHi4qg/iFRlxfbJ5tA4RaeNVLqa3joMsSZCUWLRf+LfbIwnyz89Bh0TLimM5pikmHX6p6aWWYX6EHaPSYFB0SO2zDJcLg/x9pvvY9kUa4ptOwEHOJCIiIiKiiiqSxwikAuaniIiIiETgZCIiIiIKmPnxJgx+Q4FcZQDW5YX6aoioIijYPRIpOslyJIGkR5PM03C18Lj41iYMb2iELEmQ9SnoseQCQrvhfQEuLe2NVJ2ChNZTcfRZkBlu8zOc+LEjqtfqg1+DnpVERERERBS5IneMQGphfoqIiIhIfZxMREREREEoxKnMpjAoiei1/A64+IuIRCvc+xVq6S1HEhjfGoy1N0uvOS7Gw2M/YWBaNGRJgpLQGENXXcTrkFytjQl3toxAw2gFcc1HY/tdd+ukfWR+hP1T2qJq0vvIPPKMsZeIiIiIKrTIHCOQupifIiIiIlIbJxMRERFRUMwPNmBwTR0MzTNxmptjEJFohZexesg7iFMUJDfshAEjx+G7qTMxd/5czMoci8Gd0pCklyFHp6DloB+w/WqoPxGYcH/Pt2iZoEO1jGn441GwaW0zHqzuh5Q6H2La3rtuj28gIiIiIqowIm6MQCIwP0VERESkLk4mIiIioiCZcGN5L1Q1pGDg+gdc/UVE4plf4PqRTVgyfQyGDuyH3t27ICOjE7r27o/BX07E3JXbcepufqivEkAhrv3+BRrHReHNfj/j3EuVfu3Lu7idx2lERERERER2ETNGIHGYnyIiIiJSEycTERERUfCKb2DNJ7UQVXc4tj9muoaICHiBc7/0Q93oKnj/my24zpWxREREREREYjE/RURERKQaTiYiIiIiVZif5WLxkD6Yeogr/YiI8HI3JnTthymbroCHKBAREREREWmD+SkiIiIidXAyERERERERERERERERERERERERAeBkIiIiIiIiIiIiIiIiIiIiIiIisuJkIiIiIiIiIiIiIiIiIiIiIiIiAsDJREREREREREREREREREREREREZMXJREREREREREREREREREREREREBICTiYiIiIiIiIiIiIiIiIiIiIiIyIqTiYiIiIiIiIiIiIiIiIiIiIiICAAnExERERERERERERERERERERERkRUnExEREREREREREREREREREREREQBOJiIiIiIiIiIiIiIiIiIiIiIiIitOJiKicsKMJ3tnYfSPe3CnONTXQkREREREREREREREREREFJk4mYiIyo2iy1nolBiPVplH8CzUF0NERERERERERERERERERBSBOJmIKMRMxcUwR+DvDk+vcWzSOzAY0jBm//NQX0y5VPHKFBEREXllLkaxKXR/nv0TIgpnjFGuFfx3GUe3ZeOn+T9iRuYkjB/zFb76egzGTZqGeUvXYfuhP3H3NZ8chQfWYwqpwkc4v3stli6Yie/Hf42xE6bgh6xs7Dn/APllftiE+/uyMOv3K+DG7UREREQULE4mItKEGQ8PL8X3o4diYL/u6NS2BRqn1UaNRCN0ioykgb/jRVj+7shjfrgBg97Qwdh8Mo6/DvXVBKngAS4c3Y89e3Zj926B//bsxcGT1/HMnhljmSIiIiIX8i9i48xx+OKzj9G7awe837wR6qYmI9YgQ45uhVkXRH6yYP+EiMIZY5RvzHh2fi2+H9ACKUYZkqJDXJ1maPdhD/QdOBifDf4Yfbp3wvuNaiBaJ0NfJR19p+XgekGor5sqBtbj8uUV/to0F1Mmjsf48eMwrtS/8RO+x6zlB3FXzQnxRTew56fp+O7b8WX+3rjx4/Htdz9g9SnfFz+a/svFivG90LR6FGQlCom10vBu67Z4v3lD1EoyQFYMSGk7GivPPLFPdss/Px+dquiQOnI33IZO8xP8tWstVi77FUuXLlX936+/Lkf25lzc52wmIiIioojHyUREmijEkcwPUPt/cTAoMiRJcvqnR/rkXBSF5e+OREU4ldkEeiUJvVfcieCVY8W48GMrRClSqXcq6F+lDzDnsm2UzzJFRKFSjKfXz+LUpUfuE58UhvjeKgrTzRX4JC0FSTE6yKX6EnLix1j3VORfZ/+EyHeMy9pjjPLuJc7+8gkaxsmQlCjU7joFG07dhevNh8x4ffsQfhnaFJV1RqSP2w+hTQwRgPCqx4zjQTNdx7KP30ZKlVjoy7xP67/oTvjptlqZw5c48l1zxLjI48mKDsa4RFSv3Rifr7kD7/OXXuHib1/hgxp6yJVS0HZUFraff4RC5x8pfIQ/t/6IAelxUCq/iwkH8mD6bw++fscIWamMPtn/us+J5q1G33g3z0Stf8ZOWHwrhFuXlluMDURERKQtTiYi0ljRy4e4sn4Y6uqtgytdCkbsUGcLHZe/e2ekb8/jv+JLs9CqkgxDsyk4Vej958NS8Z/4oYXBkXioVBXpXQZj3PS5yPp5GbLXbsS2nfvwx8H92J2zFRt/m4gOCU6JAH0tdJ+6Cpu378DuvQdw8NAf2Ls7B9s2/47VS2bg64GdkJas2D8EygkDsN7FEjtXZWq4SuWViKgE81McnNoW1fQyZF01dF961YckK4Uc31vFZMrHk1u5+KF9lLXvIcOYsQg3NXr5IvvTRBGPcTnkOIZypRjX1w7CmwYZkmJE+ugdeOCxYJrxaPcktK6uhyxJkKsOwbayZ/kQCRPS/BrjuOpM+U9w7/J6DKuvKznhxdAQE4+pM0Ws4MwMtIyNQlQlR25Oqd4F03Mu4JE/uUnTA+zL7IDqOhmGN/tgwfHHHt+/Oe8PTGoZB90bnTCgUwoUSYJkbIt5f3suNab8p3hw8wrOnzyM3b98ircMTpOfKrfAmLWHcObKbTx4+BAPXfy7d/Myzp04iN1b12HVoqkY8WEDxOucfkfSYGyq6E2f2hgbiIiIKAQ4mYgoBPJzhqGGdYAlx/dB9mP19s8p+bv7YrWKvztiFJ/D9HcNkPQNMO5QZM4mKv7zB7SoZPk4F//eSGSffeJxgGi6tRidjI5Bu6HVLFz0sp1w/pWl6F1DgSRJ0DfLxGk3+ZMy5fW/ClimAMCch6NZw/BhRg98+espvAz19YhSUe6Two7p5iJ0jJbtExOqDNkKfjPSQJB1nu8tSJEcc03/YL59MpEeTTNPa7rrhsj+NFEkY1xWURAxmmOokky3lqFHsmXsqaszAjnethkqOoPMZnqnD/LDkMMtGEhjAeXXVOjbMY4L8mobPv+fAt2bjZFujUeSkojBm1WY8VJ8CVkdE1Elozc62H63ZMB7M87Dv5O+XiB3RhskKDL0dQdhzTXfcpr5J6egmdExiUnfcCKO+9ExLzo+EY3sk4lkVO61HA/8brZe4eLy/qhlnYCnf2cycrklX0kce4dWJI+9iYiIQoiTiYg0V4TTmU2gtw7wotrNx1XVlhGU+t3tF+CfCrlEoRD7v64DnaRHw4nHEHnTiYrx54wWMEgyDA1HYvt97y/x2YZP/s/eeX81kbVx/I+YmSSS0EFYYMFeUGwo7ooNyyqKuPaKrmVR14INxYqoqKhrw15QwVVs2LHrWlfFXl5B8SgHOMnJmXO+7w/pIclMkpmQwP2cwy+7ZmbunTvPfZ7nPgVB+lLKUrSZf5XHgV4Vzs5oCglFw3fYHitl45W4md7RsKZ6ZAm4Xj2Lyguz0UrrFJE0TcVZz1tYvKgv4yS4H+qSzfhNW2qdbtAa00+WenCrSs/B2W+evDfn8GSZy37ORbKuPYIkCtMKXenKFlOfJhA8GyKXhcNxGU1sKFO+4ezMVpBQFChKgpazL3C3ZlHewOKO2mAixgvt5hah3BWPSiDoccy/JoRuR+S4OCivpqGNjEHYuOWYpw9W9ELfjS+drO6iRsmOZIQG9sKqbTPQUlfNStYWafZE9IDFu7wUNJfRoBWxmH/JDqmnfobsBLm2+jiD8En5+GHP829IgFzvU/RCj7UOVrxhX2HrQD/QFAX5gK14RxauCcT2rl082fYmEAgEAqE2IcFEBIKrUb8wMvCkaLvgmnBZ3OoSbDC6tmv7ubsXn3clwZvRVNy55WmToLqHZXEyUNIWmHayjIdhWKUNntKV3w5HSgEft4Eaz9b3ghclRcwCK2vFbE215RWkVBdR4vK8aIMjsfd6PKuTBwL1ZZwE90SJ1xd3YfXSldh16a2dGZwExxDimyfvzXE8W+ZWnPgDEbps/cDh2FfmwpuLqU8TCB4PkcvC4ISMJjaUCez/9mJYkDb4VNoSsy/wKTHE4sv9o1i/cA7S/y7C2/o8gYTawSH/mlC6HZHjwqPGk6zu8GJ8MGj7PWwZKNcn48U4qUey7w9jbCMfdFlyFbdW/QKZrqJaxCQU2FP0qPw0UltJQFESNJt20krCnzWUuKELfmN8kbTzox1BJmXYNzxAu9Y1QVDzrzk6Iyo8WPULZBSD8MknuANH6xXE9q5dPNv2JhAIBAKhNiHBRASCqynbh+GBtD7oY5JdlqU913ZhP3c3pPrSHLSSUqB9BmOHh5WUV91bhi4NaPgNyMELPoaNrq2bri+5XxJ2fuQzZhUeZXaDjPHGkNxSy//EbL3yC1Kqg6gfITPe0Mqlzgbq1ZdxEggEDeSbr108ev6VuLYgRuuMpSFP2IASVzpjxdSnCQQCAXBORhMbygTjKrrMTxNwjPQVIXgCjvjXPFq3q+OwH7FriC/oBt2Q+eg78lNCwWj12KDxRx1vFcWW4dT0lpC3nY3zX99hW6K3NiiHhm9yLj7xdkeq8GB1PBQMBapBLJbetj9MpHTnYCgoCpS8O9Y8tkMxryzEtEaM3qfIhE9CvsOqNYtP2xMhp2TosuweCXYxhsiH2oXMP4FAIBAIDkOCiQgEF1NZOBWRuixuvyHYxSvog/+1o+zt515HUT9bh55yCpS0GWae96S6pSrcW9YFMkkkUo7zy0NiX+egn8LQG92rexb4+Q2UuJLWBlJZNOZdtmxCVRZOM6wp3kFKdQ/2ww4M9tU5EiMx9WTd7EpeX8ZJIBA0kG++dvHo+Vc/xdqeBmdsx/SbLnXGiqlPEwgEAuCcjCY2lDHVKJrVXFtFl4Z34ja8r8/TQfAYHPGvebRuV9epyMekcAaS6Lm4rDRtYSfvn4PXDsql75fS0N67KSbnfwb7/SjGh+qCcuxsFaa6jaWxmiRBaZs02NUdTUvFwZHwYShIo+fhih2/V95MR0eZrsUZDd8hu+DMtlW6MwkKRoEhua4sW+r+EPlQu5D5JxAIBALBcUgwEYHgUpS4sdio53r3NTyDPvhd25F+7nWWL7lI9qZAMQok7/5a20/DH9U9LOsig6TlTJznadcYZ3pSlBRt0q7wPNCrwNHxQaC9E7HNoqdAiZvpHQ1rKj4Tj+rpmvpxPAVhOkdiwDDstVLIydOpL+MkEAgayDdfu3jy/LP/y0Wyn84ZG4Vpha50xoqpTxMIBIIGx2U0saFMUL9AdoIh+LQdqQRA8Agc8695sm5X11FeTUNbGYOwicfxAyzebfkNcu37lbZbiGJHBFPVbazo5ouIkfvwhgWqL8xGS6ljrcI0Fcq1wU0DNuOtA8E83/cNg4JiEJZyHPzr4alRsqEP5Hqfohe6r3nMPwjKyvW8pE2QetaTEjvFh8iH2oXMP4FAIBAIjkOCiQgEV2LmSIuexzfow/5r1/tynRUHMNKH1hjCWc4Ywq5FdXcZujTQ9GznZ3ZX4eyMJtpMT20Z/XyebgP1c2QneEHScjaKLN1MXYINCXJtiWYJWs+9XE/XlHFf7Vpo5eIy6ss4CQSCBvLN1y6ePf8VBZMQoXPGBg7HPlcmHoupTxMIBAIAp2Q0saFMqchHyk/aSh2MP0YcKK/tJyIQuHHIv+bZul3dRo0na3vAi/HB4B0fwAKozJ+IEJ0uGzIBx+2Oi1fh8Ya+CAwZiM3/qaFpU/YrZLpWYRGTYE8X3vL9w+HLOBNMpMbz9b1MxsiPL9g/IkC7Z1GgZNGYx1nWqBqlbz/ih8WbqHBrSSdI7W21Vuch8qF2IfNPIBAIBIIzkGAiAsGVlO3FsABdFncYUo7zzxXhdW17+7nXZcr3YKh37bTecBwVHq7uBlmDLlh2l2dncdVdZHSW6Vuc2VVGv/oMUptIoBj4t+VS82X7MFy/pkIx4dh33iOpU5j11e6YfstD1pOd1JdxEggEDeSbr108ev6VuDq/be05Y8XUpwkEAgFwTkYTG8oE1b8rEKettkE1iMPy+zztXAKhNnHEv+bRul0dh/2EXUN8QTeIR6a2VJzyxmK017X2UvyGzXZG76hf7kRymD96ZN7XJAKy77FtkLc2KIeGb3IuPvG+JIvXOf30lZKYnyfimN0F1qtR9FdzSP36YdNzOxTzqkJMbyzR+xSZsBRwqdZlh8ciTNYMM89bykqswskpEZAEj8WR+r39mULkQ+1C5p9AIBAIBKcgwUQEggupPDUVkbrMF9/B2P7B2LJUo6qy2o7sEbNrFxpdm2c/d7BKVNe69syi2olxW73q2834TaHNIltwzUOMBBZfbx/C5v3FvJ0O7Osc9POm9Ya/V7wdrT7Yzyjem4P91z9bnP/KwmmI0q0pn0RsqxFxxKK6skrkqk/irA+7nsC4r7a0Mf48XSXk1YUdn7ISlQ7658Udp1A4MV/KKlTzWayqSlTyERhCX88qLKorKuHUsYvLntVBhN6LnPgOxKcOffOOvje+6xEA1FWorLZvtpRVYu5LKlRVCbO4PGdvsTBm9RNkdTd2xro2aFtMfdo9dGNHEW592j0PKiWUgiw4B9euS/Y5AefX2vV5C0cruEQuV6NK1G9EgHkQAGdkNLGhTCk/MAL+2mobTOgEHBMr58nT5JZQuNImcRMd1hV7tSP+NUF0O4+X4+4hw2tQUYBJEQyk0fNwWTt2g8+QAiXrgMU37JgU9gOOTGgE79jFuKaTad+PYYKuChvlhR5rn9ol50t3JUGhazXG+KNv9mO79euqt3dw+c5b2FNkSXlrCTrpgqooGj5JO/DB5nIvx5FxIWAUfZHzyvI/rHhxFUV33vOsti4m7iO3iO3tCPXR9tbi1j4tAoFAINRHSDARgeAylLi+uL2+57osfjUeqqrx7uouzB/ZAzFRfpAyEijCYtD/jyycemGPYqvEjcV8+7mzKH9wCIuGxaFZsBcYRUO06DER2Zc+8Dqsrnp+DtvXrsWuC68cNAzVKL1fgC3pf2BQ1xYID/ACw0jhF9EacQMmI+v0C7sMX6t3ebwG8XLNIVcHj6lMZD/lh0YjSN/bXIroeUKV0VfiZnpHw3rttgoPVABb/hAnNqVhVK+2iAyWg2Ek8P6pOToljMaSvEf47rT15Jr1YRkWHy/vxMr0+UhLS9P/zR3bFUESnZOpORJnGP5f2vyFWLKuAE95G3kCj48tx4P89ZgzuifaRgZBIaVBywMQ1aYrBk7Jwqlnlrz1rhinUDg/X1WPjyBtUFsEy2lI/cIRM/AvbDcLoKt6fRHb5w9H95goBMpp0FJvNGzSCYnTV+Pog2+iXs8S1e9v4sjaGRjaoz2ahflCytCQ+DRE81+HInVtPh7z/NBc8ayO49xeZHopR74DV1HXvnnH35vl9fjJzOlWjTdX92Hl9EHo0iIcfg1o0FIfhDbrhIF/bkDhMwtpshUlKNqWhpEJndAywg8y7b7UsbdA+1LFS1zYvgCjendA0xAFGKkPwqN7I2XdWbzSK0IqVPywphV54N7CMWb2404k+emy9aMwrVC8nbkmYujTzsmj78/OY3d2NnZffetc4KcjOL0+jXFgHtivuJY9HDGBUiiaJyPnrr2OeefWruj7nKDzWxP2+zOc2TIPI3rGoFGwFxipN8KieyFlbSFKdJdkK/Htuy3tXii5HIGYgbOw/fons0MhFUrvHsHqqYMR36EpGvpIQMsDEdX2FwyeuQ3XPjq/6oWZB4fvLrCMro82lBGqFyjctAyL5uvmax7+SIjUt+RmInpi0rw0k7m2+bcwA1svvLdxQOd5cksoxNfz3UGHNbmAC/1YXP41oeWGZ8vx2pXh/FBem4+2MgZhKcehtyYqj2NCiE6fDUFKPv8V/eV0KlopojHzrKFtY/XFOWgl1b3/GMy/Zt94ldcXoZ0+qIcC7dMeU/Y+QLmokYpqlGzsA7nepyhDt8xHttfd1zyMj2Agi12K224X7OAOcovY3k5RH21vwM19WgQCgUAgkGAiAsF1qJ8b9VyXoFVqLvbN+hUNpYFoNzwdO05cxq0b55A7PwEREgpMSE8svWC5YkzNa/Pt587i4+l5iAv0Q5vhy7G/6Dou7xiHFlIKtG83rLjN4UgrL0RqKxloigLtn4zc/9lnJXx/dBwrx8QiREqDVkSg6+jF2F5wGbfuXse5vI1I7RkBqcQfXeYW2lEO2DLVRbPQXKoxhruu/Nf1hzsuoQrnZjbVO2cFbfWhLsGGBLm2RLMELWefxX8nMzC4pQ/kEXEYvSgHB05cwM1bl3A0ayRaK2hQjA/aTj6MVw6mpbhyfVimGpcWd0VkaBCCggIRqP3zaaCr/ESDlvvq/3tgUCCCgkPRqGsazvCw64QeH/u/IqxMag5viTea/5aKNXv+wcUb93H/1iUUbF+KMbFBYPxiMPlQiZkzUdxxCoUQ88W+y8OkVl7w6ZSCLaeLcXZNIsIlFJjgnlhR/A1ANZ7lzULXYAn8o4cgbfNhnL5+D/dvnsP+zKnoGSUDE9obK66Ui3K9GlQ8wdHFA9HMmwYtCUTMsPnIOViIq7eKcfpANqZ3DwXD0PBpPRKb79g+ABD9WZ3Cyb3I+EoOfwfiU/e+ecffm/X12Aurbmj2LfbLbeyc3hUNZf6IHjQdGRtykX/xJm6c3420hHAwFAUmPBGb7utcc2p8KFqJxKZyeJntS8fWjka0fl865OC+pMSb08uQ2EwOmpEiotdUrM49iWs3LyFv7UR0CvJCi7H78d/LY5gVHwGFPBw9V1yz4Dj0pL2Fz5j34cHRFITrsvUDh2NfmSPz6yCC69POySO2LB+TtK0h6IZjcUTMGEwThFqf+pE4NA/Vl+ehjUy3lhkED9ttuXWuBZxdu+Luc0LPrzlVeFGwGP0ayUAzMkT2mYnsg+dw/eYFHMkaj45BcjQfsxdPnu5HSjs/MIpI9F93x4J9J4JcDuqJlde1fUm+3cPOybEIkgUgetBMZO0+hrPFt1FcuAOzugeDoWhIfx6A9bcdVRCFmgdnEFhG10sbyoiyo5jaNgINg4O08+UPhdQwlxJvf5O5tPznCy+G1h9sx624b8WW9zy5JRRi6/nuo8Pqr+BaPxanf01IueHJctwdZDgf1Hi6tge8GB8M3vHRoBMqi7GovVT7zuQYsNVW4KIRP65gQSdvNEk5ZrT+VXi4+lfI9IGTk3HC3ilVFmOh/nl0FYq8EPHLcMxYsQ35118JEHhqzhfsHxmo3bMoUNJWmHPRVridEg/XJcCPkaDR9NNwp1rW7iO3iO1NbG/79AB39mkRCAQCgaCDBBMRCK6idA9+DzA4rfwC/CAJiEVq3gvTzCj2E/ImREFCUZA0GoMDfPp2l+3FsADufu6qJ5sxMMQLLScdwWudBvolF8neGoU6cNhe2Kre/P3oeIToDo/s6n/9Aw/2TkXnIAYUxSCk+1wc/c/CM1Zex5I4BWhpK/xV5FzUwpfdyfBmdE6Bd25R4l1wVHexrIvMkLnkOxg7bNcj5k/ZPgwP1K4pxhe/DEtCC4UXmgxZiyul5veowJlUbVCTJBITjpbaOd+uXx+8UT3Aqm4yvTO7y7K7DgSmiTC+rxew+NcA0JJQ9F19DV8sTfi368iI9wYTNhL7udaFIOMUCqHmqxynU1tC6tsDmf9qpRUmFg8AACAASURBVOy3fRjmS4OiaHj3WoNzB8ajeQMfxKTswWNjLwRbhqIlPRAm0/xbv9934zMr9PXMRn1/Oya099c4dCMHYOWF9zXfQcUDbB4SoXXsDME2q6lT4j6rs1jci77y34v0CP0dCEbd/OYdf28c6zEhG08+FmFxfCBkP/dF+smXNTLG1c83oZ+f5t/Lu2TglrIaj3eNRktvLzROysLlGjeuwNmZzR3fl9hSXFzZH5ENaFCSEPRIKzBkVmueCO+OjEcTWTA6xDbTZq7TUAzaxtEWQIs77i28xxyE6La6KhM05AkbUOJKr6bA+rSzunHZ/hEI1LXviZyKk644VRFhfTo6D5UFk/SBZRRFgWn8J05zlnwQYu2KuM+J/f2zH3EmvSfCpDQoSSj6LivCexMBoMa7vAloKgtCy1ZhYLTX9x+5H+bH/qLJ5V5r8fD1CcyOC4Sk4a+YfexFTbn8dC16KjT/3idhHf82yyLMg+A4I6OJDWVK1VmkNpVo50OBQds/co6RfbUJfRW6ViTNMavIslDxPLklFGLq+e6pw7rcj8XTv2b6kI7JDY+V4+4sw2s86yfkJvuBlscj85HRINk3yOkv1weNdUy/xSPQqRp3VnWDX8Qw7H5tfK0P2D7YRxuUQ8MvOdeBgEIW7w6M1rfXq/HH0FD83AmJk9Ox+fh1vP4hgG1bdRrTtUHxFEWB+WkCjln7Pipf4cKWFHT0o0ExARix/4vz9xcE95RbJhDb2zb10fbW4bY+LQKBQCAQTCHBRASCi6g8OcXEKKT94pB2zrzEqIaqwmmIkmgM2jbzLnFme1Se4tHPXV2C7UkNIW06GflGjkz1o0xtOzAKkui5+v7hNanGhTktDYdHfTfhJR9nA/sFFzN6IFiizfxLWIXrVp03arzYkAAvSoq28686kbGkwr1lXTRZQUwQxuXVzXKg7JvN6O9N69eULD4TjwQ60KvUr0Gd48IbHf48jldWXsr3AyPhy2jeccNxR8A7Mb9W1gd/2PfbkOijc2Y3RepZe/uaizG+cpz7qw1kDIPgpG1Wv8Oq54XIHNoMEiYAow/Z9pg6PU6hEHC+2A+5GBosQdiYQwYny/f9GKFtzUNLvOHjI0WjkXvwwsyToH6Zg376b4uGYuDfePNO2OsZMqBZfLm2BgN+loCmaEhbjEbuY+u1DVT/rsQvchoUxSAocSueW3j/Qo+db7Y2L6ztRU+y0IPXXqRD+O9AEOrqN+/Ee+Ncjw3a4NeuDSH5qT/W3bGyXytvIr2TNlNX1h5/Zv6J9j4KxEzNw0srE/fD0X0J5She3RehEgoUI0OrP47hnaU5N3FKanS29otv8Nqb3G9vcXzMHV3cSlZQfdpp3bgShdOj9Adkvkk78VF0/64I69OZeVA+Rs6AYO0cUGDCJ+OEreUs0NoVb58T+ftnP+P8om4IlGh0645/WclaVj/CmngvQ6UAygvds56YZiOLKpdboFN7f0gjhyDnnpUXpLyG+W21clneA1lP7TBChJwHEXBGRhMbyuzOz9ejl3Y9UrIYLLzOffevB0fp23jTIVYqvnmg3BIK0eSfu+qwteDH4uVfM8MhueGpctzNZXgNKk5gcgQDafQ8s7msxLEJwdrnYxA2+QSn71X1ZCP6BQeh/6YnpsEI349hwk+Mfpw91j51bJzsZ5xbHK/9Dm390ZD4N0X86AzkPfrmcPKk6vZSdGpguK7k5x4YO/1P/Pmn7m8aJo8fiSEDeqFDpEL/LmlFH2xwaTaBFdxVbpk/JrG9bVAfbW8dburTIhAIBALBAiSYiEBwCUoUL2qn77lOSUIwYOMDq73a2fdbMUChy5SbhkKbNfOVuLG4vY1+7hoqLs5BG5kX4kwi8Fl82JUMf62zzmbPa7NI/k5Lb/OI5K/E/ZxBiNAawpImY3HwjS2Dk8WrTX0hp6SInnfZCedbBY5PCNE4CBvEYdm9utnkrPzwaATre5tL0HquM3NmjBI30zsa1ivFIDxpKx7byNisPD4RDbXP4sU7qKm21gd/vh+boDFqKQp08Cgc/GrPr8UZn7pkCwYE0KCYhhh7xEpeX/U1LOygbbHA+GDoHtsP7tw4hULI+WLxdlsifKVRmHrS0PpP/d869JQbOcuapOCohTL37KutGKhztsiaYELeG7wW9HqGEupV/27Ab6GM1inXHnPOfbHtDFTdwpJYnWMnBvOvmX+YQo+dZ7l3nljfi4YY9qIuGbjLIbbF+A6cp+5+846/N37rkZZFY9o/lgNCND94gqzuXvp/T1EMgvquxX0bfkDH9iU1Xu4diUipNhMzdiGuWvXXqXBXF7hMUaAkkZh6il+TI/faW5wZcxSm2VZSBUZYfdpp3Vh5A4s76tpReKF71mORD8jEWZ/OzoPqcTb6+Gv2DWn7hSi2EXwlzNoVa58T+/tX4enfgxEm0R5oxy3FTasyTIV/V8QZri9rg7SrphMrulyWx2DWGRuZ5ao7yOgsM4y/kO/BjLDzIAaOy2hiQ5lTcXyioSJM4Egc4CxJUoWzM5roAz8UA7bgjYVF6HlySyjEkn/uq8O63o/Fz79mjiNywzPluPvLcHOU1+YjRsYgLCUfP0z/D4oXxOjftTyRo8qJ+hVyh4XDL34l7prJ9epLc9BaqhtnDOZfc2acFXial4Z+TRRGgVjW/5jgeCyyElhvGzVebuoLud6nSEMRHI6IiAijv1AE+srAMKb3lHZKx03Xv0oz3FdumUNsb6s3qoe2twH39GkRCAQCgWAZEkxEILgC9TOs7+2lV8JDh+60nQ31Yz+G66LmG3RGxh0b7g71c45+7gDwFccmRkDiNwBbjJsXsx+QOzRAn4kTMSnfavYA+2EbBukj+Rvjz9PcjoaKa4sRqytRLgnGoL9f2D5kYd9j97BgMJIwjM1zomSu6q7eKUIHjMRB/ikRHkQ1zs9spnW0UqAkoZh47Af3z/igLsGGBLneccGEDsY2S+VP9LD4sC0Rcso+w7HW1gdvqnFxbitDFmP/HLy2w0MjzvhYvN06UNPCT9YBi29YMU1L9+B3rYOcCRmCHTabljs3TqEQdL7Yj9iV7AcmdByMbfIfRk4EShKMxK3PrdyjGq8v78aapSuw7fxLVAt9Pd1/Lr+IBV205dAZGTosuALur7gMuUMUeplfoyqIWM8qCNb2ovfYOcRfK3MkaJJ6hiMrVIzvwHnq7jfvxHvjsx4ZKaJTC1Fm6xmqL2FOa0MJfjqgN9Y+sOWac2xfUpfswtAIRu+gnJD32aZj/svuZCj0zzQMe0u57+Fue4tTYw4cjn1l/J/daQTVp53XjdUvstFbX3GjDdKuiHuqIs765DcPkZMLrGcYsx+wM8kPNEXDO2kXPlv5Z4KtXZH2ObG/f+WjDejfUHt9aTNMPWlbly3dOVh/fSY8BfkmCoIL5PLMM7B5XFF1GtMbGeaLbzCRsPMgBk7IaGJDmWFULZiiIPt1JR5w9nW5i4wuhsCPuOX3LQR+eKDcEgqR5J/76rC14Mfi5V8zxxG54Zly3P1luDlq/Le2B7wYHwzeYd5mkcWrnL56GSyLzYB11yuLj3kT0dinIxZcMR+ECg9Xd9PLOubnyTghRHH06ve4XbANK2aOQkJMmFHQT80/SZOJyLO7POYX7B8ZaAhYkrW1GgSlKn+GC9v/QCcfTYXkqGmFcGU6gSXcV26ZQ2xva9RH29voH7qlT4tAIBAIBGuQYCICwRWU7sHvup7rTDBGHbRtcLNvctBPoXMGhWGyrbrbpXsN17bWz73iBCb/zEDRP8fk0IV9twNJ+t9GYco/1stl/jg20RDJHzQSnO2xlQ+wNsFPb5hKOyxEsU3fhBLPcocjUkpD0XE+LjljfJfmIlmbcSeNXYJbdbEwkeoelsUZSrzSvoOwXajeyWX7MDyQ1hua7RcWcxzsV6NoVnO9ceY3fJ9tpxVQu+uDL6qHWB1vcGZ3zrjDv6+2aOOrRtEsbRAZ44s+6x9bCfaowMO8lZg9eylyr9s2yJ0ap1AIPV8/jmNiGIOAYbuN+sgrcXletD7zUBqThit8k+iFvh4A4DuK5rSBjNE5V0fhAC8H4BejYCIaisHbTcvKi/KsAmF1L9qOwf46J38LzDrP5ZoU4Ttwlrr8zTvz3nisRyb0d+S+tf122I87DAdBlBTRs4s4Au8c2JfYd9g3Mlzfskoev5rj0FOJy3Nb64N6vRKy8YKPb8+d9hanxkxDnrABLu1wIKQ+LYBuXLp3mD47mAkT+YBMrPXJZx6kjTG90NbgdN+0FNHzrlg+dBVy7Yqxz4n9/atfYXtSkHb8NBS918F2N5kqnJ7eSP+t1WihJ7ZcDhmKXEvlYIyH9CIbCbpgugZxWHGfhyQTeh7EwBkZTWwoM75g7zA/fcBH+OQTnIfP7OscQxtvaTPMPG9B6/FEuSUUYsg/d9Zha8OPxce/Zo4jcsMT5bgnyHBz2M/IHeoHWh6PNY9rPmxl3jh9W0UmYgpOWlv7X89gRrQcrVILUWMJsR+wfbCPfl78huaCR2c8O1Gj/MU1HN+2HDNG9USLQMa0ahEjRZu0y/YlAlWdwZ9NDAEjTMRkFNha7uxn7BgsB8X4Y9heV2YTWMCd5ZY5xPa2cpN6aHub4IY+LQKBQCAQbECCiQgEF1DxzxSjnutDsJMj6KP64my00pXIZbwx8oB1DZRPP3f2w2FMi++BPw+/MVI81Xi15Tf4aA1nSdM/UWj1NmaHR303cvSZZ/H50BiE6zMfZOi68l+rCnvF68vYPrM7wmU0mJ9+Q/Y953JcqotmoblU86yBow+Cs5q6B8K+2YzfdI5WioIsfjUeChQBUlk4DVG6NeXdG9nPOCw01QOs/NUog3TZPQ7jrHbXB1/YD9sxyNfgkE49w9crK+b4qlE0u4XegKYVLTFkyV5cflHucGsVx8cpFMLPl07mzTr2wSDz1I+QGe+lX6exdjgRhL4eAKiebEBfnTOIkqD17CJ+2X3qR8iMl1n99sV4VqGwtheVbO6v34ukbdJwhdMLKvx34Bx1+5t35r1xr0cpYuZf5ThsBapOT0cjva7zGzZzRbDYvS8BytsZ6CLXHQIr0GeDtax+3TgeY43RODosvsGrnYk77S3OjrlGZTSREVKfdl43rsTJqZF6B7hP0g5RD8jEWp+W54HF660D4aubhxYzcY6r5XJ6B0iZAIyweEor7NoVY58T+/uvvJKGGJlhLfbLKbF9fdVtLI3VyTAvdF9j2kJPfLl8hVMufzkwEoHGwXQ8ztuFngcxcEYvJjaUGcormBdtaAXZd+NLzvdn3MabbjgGhy0Y8p4ot4RCePnn3jqs6/1Y/PxrNZ/TfrnhiXLcE2R4DbSBGdLoebBUQFLTAk07JsUgbLfQHhCowNVFneDdeAKOWFL2tAEcunH2WPuf6ONUlV7HlnExeplHURQkrWbjgh3RRKrbSxHbQPd7TRDUJ5vL/QtykxWg5L2RbbPqnti4t9yq8bTE9rZIfbS9TXE3nxaBQCAQCLYhwUQEgugoUbxQ14ebhrwPVxa3pr+uly7DRBKClHxryq4S1xfZ388dAKB+huwEhb5EaotZ560fZJsp7Z2W3LJtGLBvsG2QIXqfbhCHxUXP8OzpYzz49zauns5Dbs5qLJ6ZguEJbRAso0FJAtFh3Fqcfe1sUx01nq/vpZk/Ro5+Oa/qZOR++eExekcrRUnQau5FgdoRKXEzvaN+vXr1Xg8uP7hJYJO0Bf7i8mDU6vrgz4/jExFmlMV4gG9ralHHx+LdjiR9JQRDJpoXGkZ3R/IfC7Buzzk8/c5/1Ts8TqFw0XpgP+7AYL0ToSlmnHMuaMq5633DyamNDW0KZTFWS4rXoLIAk8IZ/bvnE0go9NgFRf0YWT10LUH4OoWE/w6coj5+8w69N+2ITNZjM8wq4poDJW4t6WTQdXhkIZruS83xF+c9vuBYii4whAKt4HaSsx93IslPl7keiamF/A4O3WdvcXbMUZjGc8zCIKY+rcUe3VhZjEXtDYfk8ZmPRHT8um59AgDUJcjp762fh9ZzL3IcOnzHkTFBoOU9sc6SIeKCfd65fU7k+WU/Y/+oEKPr98FGjkMZ9ctN6KtrqcC3hZ5L5bJpMJ1fMtcBJFw3D07i+B5JbKgaj/t2C35T2LMXG7fxpqEYsBkchVUMeKDcEgqn5J+H6bAAxPVjOehfE8yedmc57iEy3Bxl8QLEyBiEpeRbrKyifrkRffXVmbpg2d2aK6T63mp09w9D8i7LAZHKy3PRWhe8LovBgmIXjVP1HNuHhOrfiX1BPtoWb/rv0ws9uYKglNexqL0U0g6Lcd3qEH+g5PoF3P0gYuqSh8ktYntboj7a3jVu4F4+LQKBQCAQOCDBRASC2Kj/w7peBgdGu0VcPdd/4PhEI4NQ1glLbln5hfo51ve2t5+79qeP16C7LgtA2hpzLlpXdk2UdmkjTOfoM88at6Ew+6MZKRT+DRHRuDnaxPZE8uQ0rNmZj6v/fREou70Ue4Zp+0g36IIMC84Az8fY0UqBkoRiwjHrpb3tQl2CDQkGI7Vj+i3O91K2f4RRRttEHOd4lNpdH3wxLgVMQ95vE17xtOHEHh/75TRmtpGZlrU2+aMhb9QfS06/5ZGV6vg4hcJV6+HH8RSDEyF4FA46GTTl1PXKDmJ0qCEgSNJ6NmyIYBNU91cgziiD0DtpJ2cZdaHHLiSquxnoohuPFQeuJYT9DpyjPn7zjr43wGw9Wqk6YIK6BBv7GPal9ouu27kvTQDnFlm6HyMbGlX7i1uOexxD+lGQos9UpAOHgV+1fzfaW5we83Dsc2WHAzH1ad0t7NCN1c/Woafu8EkWjXmXRdRSXLY+NaifZaO37kBA1hZpVzk2KOV1LO4ghSR6Li5ZypJ2wT7v1D4n8vyy/9uDYUFG1++6AlydZL4aV4sI59dCz6VyufoK0tpI9YcevbM5ssnhunlwDif2SGJD1aCqcJqhwotvEnZxKayq+1jR1b7KBjo8UW4JhTPyz7N0WA1i+rEc868JZ0+7sxz3DBlujhr/re0JL8YXSTs/Wk4yrDiCsUFGAQqnzNaI+ilyBgQjsF82HlkcrxqPMuP1wevMz5NxwoXtJKsuGFXhtCdBCV9xYFSQ4duUxWCh9QghAAD7cTsG+UjQdOZZqwF8yrvL0VXhhe5Z4lWh8iy5RWxvi9RH29vSPdzIp0UgEAgEAhckmIhAEJvS3Riqa2UjCUMKlwVtkumsVfa/Wbv2Hvv7uQMA1PhvXU99Foqk5V8osuFXMVHaefSZrz4/E011Bi3FIGrSYbx48xbvP5ejUmwNWFvGmKIoSJrPgDsV4BAM1X0sjzO0OaJ9ErHtvUARIGX7MDzQUHWAO9vjCw6PCdFntAUN38cZ2FCr64Mv5uXil97mbby5YnwVj/YhtXsEvMyzWIwNXL+uSL/KYcU7MU6hcM16MHMi9M/Ba6c+GeeuZyxTKUqCpjPO8GtxBqBsz1D46d+7FDELuJzcQo9dSKpRvMBQacTLznaNgn0HTlL/vnln3pvpelT8xmM9ftmPkUZO/ikn7duXAofv5Q64yzc4WflV+1Pi6vy2dmVsAnCrvcW5MdOQJ3BVBhIYMfVpAPbpxiw+7zbIYiZsIo6LeEDmsvUJAFDj2fpehnmInmPxoN3kFyUb0EfBIGrqSYtZ/+LLSCf3ZJHnt6JgEiL015cieu5ljutX4UxqY311Ft+knTxa6LlWLiuvL0Z7XVuYBnFYwXWiDFfNg5M4s0cSG8oMNZ5k9dAfsEs7LsYNjhM29u1WDNBXNmiKGef4VvjxRLklFM7JP4/SYQGI7cdyyL8mmD3t3nLcI2S4Oexn5A71Ay2Px5rHVjZq5VVDUBWlQNLOUuML4PWe4Yjw+wXLb1lZaOxH7Ejy0QYDaFqF8eiMp+U7LqwYjN7jt1kJVOJzicMYrdt7eATO66k6i9SmEv03yEROAedyr3qMgi3bcf6VNaXnK/InR0Hi3QvrnopnJHiU3CK2t0Xqo+1tDXfxaREIBAKBwAUJJiIQRKb6wmy01CqgtPdA/P3OtlatfpKFHrpMZ4qGz8CtVst7V56cYnc/d81NXmJTP0NpaNsH2Upcnd/GrrYSn7YnQq5TfBlfJOd+dlmrsaqiWWgh1Sj7ESnHYfPcyENh32wxOFopCrJu9h3A26KycBqidGsq4HfsLeX4wdcjGPuTtsIKE4hhez5xvOvaXR98MS0F3Bh/cmUxGn7puvGx3/H09DYsmzESfTpEwEdinjVDw7dPNmz5cRwfp1C4aL5MStzL0DnjjnNBU05dT4lb+jYYFCjGHyN411oux5HxRpU2JFGYeorDuSP02IWk8jxmtdQ6MRkFeq17an8GowDfgXPUw2/emfdmvh6X3eVcj1Wnp6ORTo/yT0Yul65jsi8FY+T+Uo73ocTN9A6Gb1LSEOOPckSGqJ8iq4chc71D+k1eWYjus7c4P+aOPMcsFGLq05of2KMbV+DEHxF6p7nP4O34IJoi47r1CQBg32DLAEOroOYzz3O0CtIEVvlLIzCpwJKT2wUy0sk9Wdz5VeHflV0h048/CGOPcFgnqjvIiNUlDXghfg2P7H6XymUlbhjNmSxuOWd1CpfNg5M4s0cSG8qc7zgyNlh/wB44+jCnXf4tbywa6qsnjMYhruoJOjxRbgmFU/LPs3RYACL7sRzzrwlmT7u1HPcMGV6Din/wx88MpG3SYLXDmroEG/oY5i5uxX393LH/O4aUpgq0T7sEq8f4P44jJYzRj5OzVZjJb/OREs7waotpleqzSG2iXTeKgfibZ5Kh6k4GOhtVO/Yftgdc2xYX6pdbMTCAQdDvuRAq17EmniW3iO1tifpoe3PdrrZ9WgQCgUAgcEOCiQgEUWHxcXsiFNoIc1nnDNyxqbmzeLctET66iHTGD4lbX1lRWJUoXtTO7n7uAMD+bxeG+BkyriYV2FDcaxwecZVsV+PpWkMWol3ZMU5TjSvztA4jSSQmFdTFUCKg/PAYBOuzFiRoNYcri4MvStw0CnLw6rWO06nx5chYhOqz/YZhz/+4zKvaXB/8Mc6U4ZXFqKe2xsei8u11HFqdgq5G7bNoRT/k2Eg9cnycQuGa+TItcd8YqWecC5py7nqVyBsXaChl3OBXrOIbDfg9HykRRu3RmqXiNEcGodBjF5LvJ6caOaoGYqvTPfYc+w6co/598868N9P12ASpZ7nWoxK3lnQy2pfWcuo6xvsSEzIaBzlLoP/A4dH+hm9SnoBsjlRH9n+5SPYzVKCYxlmBQnsnt9lbXDdmYRBTn9b+wh7dWFmMBTG6LHYZuq1+KGKQpmvfFfu/3RhqVJVhMlevDrYU+0c1hCRsPI5aPPgXX0Y6t8+JPb9VODk1whAELO+F9RzKNfsqB/0UuioDbZBm9QTUgEvlsvIGFnc0rP+45XxaUblmHpzFcRlNbKgaKG8hvZNhncRnPuI4/KxG0V8t9FVMeFVP0OKJcksonJN/nqXDAmL7sRzzrwllT7u3HPcMGW6OsngBYmQMwlPyLVYg01CBI2MCtHoAg6jphdpgxHKcnRUNectpOFVm/V0oL89DtK7CkywGC4r5j1N5NQ1tZAzCJ5/gCIC0QUUexgVr5lnabgH43Z7Fq5x++gpfFOWFXuufORnsVYXiRR0gk0bhD1H9sJ4lt4jtbYn6aHvbQ234tAgEAoFA4IYEExEIomKcwUOj4YSjsOnaYj9i9zDDIbOk0STkW1N21c9s9HOvwIsLR5B3/YNFg7DqTCoa64wR38HYbiOd2lRpN+szr3qP68cO40KJcSiLpvS0TummfZKxm2/RDWdRFmNBO41ThGk0FSdd3pPdFVSjaFYzraOVAiUJwfijApU7VZdgQ4KhNzZn+yT2M/aPCNY6lRgEj9hvUs6W/fIAJw8V4pHJ49Xi+uCNElfSjLMYN1rOYlS/Q3HeYVx6bex6E3F8rBpqTtuRxddrGeiuc6jL2mPRdWtv0ZlxCoVr1sOPfNMS97wLAYlyvXLsHqrQOwWYsEko4HnO+/3EH/psWYrxQY81DzgP8IQeu3B8xdEJEUbyYx8+ccoPiPAdOEt9++YdfG9a7F6P6hJs7GO8L12za18KHXsYxmqU7vkeGvu42ff4e6DcEKTXajYucEToVpyYrG/1QAcOxz4jp6n1OXCjvcVlYxYKEfVpLfboxuqnaw1Vj6StMOeiMCHdFnHxu6o6/afhwMJ3MHZw9CRh/7cHw4IkaDzlH1guIiL+Pu/UPif6/FbiyNgAw1psmoqzHNf/enAUgvQt9FLA1dHP1XK5+koa2moPTukGXbHyX2NZVYWXF48g7/p7MxvUFfPgLE7IaGJD1eRzLpJ9DUEfU05yHGCqHmDlr7oqJjJ0MameUIWXlyytK+3/9UC5JRTO6fmepMNqENWP5ZB/TSh72t3luCfIcHO065vxRdLOjzYCyk3foWJILsoAVBQvRqxPFMYeem/jt2o8XhOv/4aYn/8AVyyj8W+fZHWHV421Zh/Km+noKKNAURK0nF3EMyjpKw6ODjIEcwhgK7NvcjE0lIE0Jg1XRc1d8iS5RWxvYntbwe18WgQCgUAgcEOCiQgEUVHhTkas9vCDO+OH/ZCLZF2/a8YLccvuWFfcbfVz/7IfI4MYBI2xVE5cjZcb++qVYq6SxraUdk3LCTl+2/LGxMAu2zUECp1BHT4ZJ1xUCKPq0lxtVpAETf4stH3Q5Kmo7mNFV5ne8KJ9ErFNqBrCZfswXLf+JOGYVGB7Btl3OzHE6N+PyzM2G1V4sOoXeDXojAyz8gG1tT54o36MrO5cWYwsSvPGI1IWhnF5pm5o4cdXhQc7JqJTqBd8Gydg8VmussGl2JWkLfVvK8vHyXEKhfjrwcyJ0G8TXjqVdufs9SpxdLzBeSftuBg3eNVo/oC9wxvqM0IlLabjFOcrEXrswsGWHsCoEG2mlSQSKceNB2NJfoj0HQhAQ5tkgQAAHodJREFUffrm7X9vxpitx/454Eys/LIfI4OMdB0OD735vjQ+z9jrp8KjzHh4yTpg8U2jkbMfsS3R4NCUJ27jaFmlRPGCGMM4EozbZqjxOKs7vBp0wpJbZnPgTnuLq8YsGCLq0wDs041ZfMpNhq/ugOynCTgmWhAVXPyuWLzO6acv6c9dAUqNki0D4C+PxVIb2bri7vNO7nOiz28VCqdH6vdur/hMPLL5fD9QOL2xvjqLT9IOcMRFuFguV+L8zOb655P3WmvacqHsEMb8JEHwuCNmLWHEnwencUZGExuqBtUXZmtbj1Og+FSceb8NiT666glNTasnfDuKCWESK74NT5RbQuG8nu8xOiwA0f1YjvjXBLKn3V+Oe4AMN4f9jN2/+4GWd8eax7bX1YsNCYZ19etKPKi4jzU9/RGatB02lyT7ETuTfPXtHP2G5oJHZzztbz9h1xBf0JQErededjCYSIW7y7pARlGgFV2QcZvnVarOIrWpRK/7MFFTwdU53TZfcXZWG0gZObqveSR6S3WPkVvE9ia2dw3c16dFIBAIBAIXJJiIQBAVY4eHHH032WqxoMKDzHhtCwca0uhUFNoop1t5aqrVfu4/CiYhQiJH340vLWTvqXB3WWd9drffqIPW+3+bK+0mfea1Bzuymkq78oqh1C8TNgkFdindSjw7tACpG4ttPJclKnFO5xSRtUXaZXtuqkL5x4/4JrbVKwDs260Y4G3onyz7dRUeCPTclYXTEKVfU8nItVlun8Xb7YPgpztMi5yMAuMXpvoXK3+RQdJ6NswT9mtnffCnRgldS321VQ+Q2V0BSeMp+MfMqy30+FSPstBD51ynGEROPcWRcWYoGyztsBjWklecHadQiL4e1I+xpruhT3ynpbedc3A5fT3THvFe8Wtg07+ppepmBuJ0peKljTH2wGvuUuRCj10wWHzaM0yfrSppnoozxn4qbdCksfwQ6zsQgvrzzdv/3kwwW4+mVQcsU3V6uqHaQICprmNhhHi/Y7BhX4qYiGMm/taHWB0vg6T5TJw3GbpxtjWD0EkFtue74gJmt9G1hpCiQ/pNg2OSfYWc/gowkVNw0swp7157i2vGLBzi6dO639zhrRtXoGCyLkOYhvegbRAqptsyrnxXKjxc3U07DxTkg3fYPhSruoq0djIEDPobr2xsSKLu807vc2LPrwr3l8fp51QxJBe2imSxr3diSENdSwMvxK95zLHXu1guV57DjObaA0jGG303lZg8X9mBUQiW+GPITvNKDmLPg/M4I6OJDWUOi1eb+uoDfKyuPyO+H5tgaPsWPAoHjc4jK05NRZQN34bHyS2hEEDP9xQdVnt1Uf1YjvjXhLGnPUGOu78Mr0HFP5gSyUDaJg1cHdZ+HB4Nf938N5mG7RsGomFgAtY/4viifuQjJdwwzp7r/uM/zooCTIpgQFE0AkcfdkxWfDmBKc0koCgJGqUcQylPfVR1NwOdG2iDPSka/sP2otSR+2spL5qDGDkNOjAJO96IHzXmKXKL2N7E9jbXA8TeIz3lXINAIBAIngkJJiIQRKb63Aw0lWqMy+5Z1o1o9sNhjI3SGPV0gzZIPV1ms5zuf2sNJTdl3YwDSqpwbmYzSBr8ilUPLWmRxg43BpHTCq0rr1XXML+dQWlvO/+qQWlXP0FWDy9IWs+pabh8NzKqFYOx47PVgZjPAj6dno1OvgxCBv0NjjbsppTlYbzWGPfpk82rvz2gxocLazA8JhBShoZXowHIuu7evdG+HRmLhvre5hK0nHMBwjTXUOJmekdDgEPv9Rzz/xX7h/vpDcDIP/4xMZKUt5YgtoEUHRbfqJn9URvrww6M+97TvknYZcGALiuYjMZSK22mBB7f9wMj4KN755JIjD34wXb2StVFzImWgGLk6Lbaehssp8cpFCKvB9M+8WYl7h1AiOtVFk5DI62zWhozH9e4Al2qHyK7f5Dm8JqRI2bWaV7OQqHHLhzlODwmWCs/JGg8vRDGvp/qG4vRUSZFh3SD/BDrOxCEevPN2//eTEZrsh6bYeZ5rt1LiVtLOhn2pYRsPLcp97/h4GiDYzJycr5J9rjy7jLENdCUaze9szajUfu7iD/+seHUU+Lxhn4I0L+fMKQYVaBgP+/G0AAGIWOPwLwSunvtLa4Zs5CIo0/rMGR2a3RjG47dirNI1R3CUTL8KrZ8cem7UqNEn51Pw3/MEViPD2PxOncoQhu0wowzHNHGIu7zzu9z4s9vlX7tUpD3s5EVrirB/jFNDK2MZdGYx3UC6mK5rCxegBidHPPphxzjMijsO+T+HgzJT6NwwIJ8E3cenMdxGU1sqJpU4oRR0KVPci7HQbUK94wCFbx6rzfa76txaW5rSBp0w2qLB/ueJ7eEQhA930N0WA1i+rEc868JY097hhx3dxluTtWF2WgpZRAy4Si4PHzKy3PRWhdAIW2I0BAfdF12k7NlmPJKGtrIdOOMwYJi/uNUXjW0mmMaTcVJu92Q33F1cRcoGApM2GBs4+cABcDi9eZ+2qB7jV6dsOGFw8Fe1U9yMbKpFDTFIGLiMZtBZoLhIXKL2N7E9jbXA8RZa553rkEgEAgEz4QEExEIYvOtAH9EMRrlP/WMZSVZ/RqHJzTTGNyShui9qhi2u9eYHnqETDxuMCoqL2JOtBRev660WrHmy/4R2swbGkHj8qy0A1PiyZZEfYYgxfjg972Gp1I9XIVucilaz71oYUwVKJrVUjueKEw9xafhmBIlx2YhLoiBou0fOGIrVbAGLF5vS9SMSRKBsUe4SoVqUD/fjiFhukwirQNy+D7XGMAOUYHTfxo5ZpiGGJsnUL6jugQbEgy9sU2yPSz++/+wtpc2y0USgnF5RmYjW4q8CZGQBCdhu8X36Or1YR9Vp6frs4stBXqwn//B9GgZ5LELcdWijSbs+CryxiKIYRASNw4Z+2/ji83FzeLtvpGIkNCQtp6OUzaqMTg/TqEQdz38KDDtE7/fyQ9ckOtVXcOC9hoHN+3dH5tttn74iosL4zROB0aKxkM34x7PHo5Cj10w1I+xJl4nP0IxwbhHEPsZR8ZHaOSH0byI9R0IQz355h14b8YYr0cmZCyOcLXpU5dgYx979qUXyE7QPh8TjDGHjW/wBccnRUESOBBbLJQHV93JQOcGNHRtQiwfkLD4cmE+uvgZqgNS8h5Yq3fes3i3cwgCpGEYe7isxq/dbW9xxZgFRRR92kDZ3t/1unGgLd04ZwCCdLqxtBVmc5XbEABXvquqQkNlBlttB9QluRj+sxRR4w9ztCYAxNznhdjnRJ9foz2fCUvBcUvfN/sVl9K76Ssj2Py3xrhYLlflT0RD7b/36rXOJHmj+lYGOstlaLfgmuXvU8x5EACHZTSxoWqieoBV3XRtuWWI5ayYo8RVfSsWBlHTTxvWUGUR/molgTx+NSzmScHz5JZQCKPne4YOq0M8P5Zj/jVB7GlPkeNuLsNNn+M9Do6JBMNHJgNQP89Gb7nBJyhrNwdFnG4206poTPgkcHS4NL4jnq7toQ9eoyQNkbj1mR0BPWq8Oz4F0Q1o0A1aYtLRd3b8tgz7RxparlPmLajseIZPV7IxvJV2/5NFY85F0UqUmuEZcovY3sT2NtcDxFhrnneuQSAQCARPhQQTEQiiU4Xi9FjIGQrS6Nm4UMO+KsfVZT0QKKFAMf6ISzuDTzzOPcsPj9U6ASRoMVtXnYZF6ZGxiJD6YcAWS2XANbDvdyFZ29dY2m4BaibQsCi9sBjdAhQICw/UZBVKwvHHPzqXQgUup8VAKo/D8ntWYuNLcjH8ZwYUxSBsxF68tTEm5ftLyJnyK8JkMkT2XYiCEjuNWeUdZHTx0pT+bDcfV3kl5anxeE13gwGvVboDhu+DyMdhDlP5MAeDw42MBKu9sR2gbB+GBxpaKP3JldnIfsauIT7a3s3dkfXEsNq+X1mEzj5+6L7qjtUME5euDztRv9yEvtpWcqZZiQCqn2Pv6CaQBvXAiuvWPUxCjo/9sBfDQxj49liFuxz+me+3spEYwYAOiEPaOdtBdUKMUyjEWw/GhxPmJe4dQajrsXifNxFNpTQoRo6uy25bORj/iKLl/RCh/XetxubiEW8fndBjFxD2A7YP1vV+j8caoz5v3y7NRyfvmvJDrO9AKOrFN+/AezMatcl69B74t805AgB82Y+RQUalyQu5Fn8Z9gzTVnswyx7/cS0dcT4++GXZDcsVC9SvsDM5BAxFgQ4ehj01WtSo8fHiKgyIlKJh9zEYEq3NdvcejJ26cguqx8jqpYCkRSrOWHBIutve4ooxC4s4+rQO9kMukoNs68ZfLixAnJFDmwkdj6Pib5GufVcVZ5HaQlN5iflpNA5aKoNXfhNZA0Ihj56GEx/5TbI4+7xA+5zo88vifV4KmsloUJJwjNjz1tRG+34fuZM7IUAaiOBgifYQh4ZP0g5wTq+L5XL1pTloJdUFfBhVBVE9w7YhYZA1n4x8qy2+RJwHAXBYRhMbqiblBzFSNyeSMKTkcx3AsfiUm6wNQDCussCiLG8CIqUBGLT9tXUdx6PkllAIp+d7gg6rv76IfixH/GuC2NMeI8fdW4brqS7B8dm/aAO/afglZOEBlwnx4xBG+evkeHNMOcFjPX6/hkWxMn1QjlePLDzh+w2yn5Cb7AuaokBLg9AwiAETmoDll/lU01TiRd50dPSnQcsaIWnDLbtapKmebUViQ4NPkQmfhAK7YoCq8P7GYWRO7YVGcp1OTMPrl5X414XtlTxBbhHbm9je5gi/1jzvXINAIBAIngsJJiIQXMHXC1gU5wea8Ud8+mXoAsrZL7exa/ovCJHSoH3bYkzOdfAuoPCjCHPaykBTNHwT/8YbFmD/V4i/Oirg1XY2ztms3F2JmyviNb2NpVEYvuupoeyo6hOubRqNNn7eaDv5MP67m4nuPpqD7J5rn0INFt+uLEacrwSNJ+bZcAywePfPX+gcQIOSRGBA5mV8MjEuK/H2Vj42LxqFziES0L7RGJ5VhHd2G6AsSvMmaLIRJWEYtvsNz4NjFm/+ToSvUdYUreiItAscJc9dwPd/85GzZgUyMtKxaP5c/DVjCkYP6IJGfowhg4iiQDEMgtv2xYjJqfhrbhoWpi9FxvKVWH/gBv91pKXqbCqa6Eo7B4/CQc5eJWq82p6k6d/dIA7L76sAsPh6ZwtGNJcjInET7tv0pbtqfTgA+wGHx0WCoSgwEeORp03pUL4vwupBjeDl3wnTj77kyLAVcnxKPN4+FFEyGSL7zMW+O6U17q0sfYCCtePRKZiBNKInFp7ikZ0myDiFQqT1oH6G9b11feKl6LTklnPjEfJ6bBkuLU9AqIQC7RODsVuuG7UuU6Ps7iEsGdoaPgwFJqgjxm+8jA/23EzosQuKGiVbExHIGDueWHy5lYNhzeSIGJRjQX6I9B0IRn345h15b7qfGq9Hfq2hqs/PRDP9vjQSBzjT61i8zU3WHAQ1iNUG27Iov/s3RrVUIHxANu7YcNqpnudiRGMpaEaOmD8L8Fb3gNXvcDF7BFr5yNBo0BpcLlXiSc5vCJZQoGRtMe9yJYBqPNw0ECHSEAz620pmsdvtLS4Ys9CIoU/rqcTNld21unEkhu98anDOK9/j4oYxiAmQQiI1HJx4J27DOxcdkLnuXbH4eGI62shpUIwM0ZMO4pnRd13x9Aj++iUIXk1+xzbO0znT6wq+zwu4z4k/v+UoXpeIKBkNpmFXTN14FOcunMaRzfPxe/tASEPjMG3nfqR10rXl8UJ85iMe35Vr5TIqivBXawkoikHE5HxN65iqEhz/Kw4B/rGYc/oThx0m1jwIgIMymthQNVFeX4h2utYiir7IsdoPyYgvJzGthRQ0RSN42B58ZAH1xwJMbS2DvEMaLtkMWPUguSUUgur5HqDDGj2LaH4sR/xrguh2niTH3VOGl985gMzFc5A6YRA6RypMfWYUA//oPhj5x2ykrz+Oh5ZEQPUlzNHOSeTo/RZ0OxZltw5hw+oMpC9Mw+zpY9CvTTAkxr5E35boPWICpsyYi0XLMrHl9Avr76KiAJMiGFCML+IWXcCri0vRPZgBE9gOozJP4Em55RmrencF26b/ilApDdqvHVL2PuZoxVaFJ6e2Imv5EixaMBczUpLQJVJuMj9McGeM/GsBlizLQIalv4x0LJw3G6nTUzAqMR5tf/Y1GbfGL+mHxK2vXGh3Ax4ht4jtTWzvGgi91tz3XINAIBAIdQ8STEQguAjV61NIH9AIXowcEbH9Mei3rmgeLAMtC0Gn4Qux9zafLBRTftzfhUmxAWAkAWjduy+6NvGFV+NErONTSUT9AeezxiIuTAZa4o/m8YlITuqLLk18IWvYCeM3XcUnNQBU4cm+SWjnR4P2b47uCbGIUEgRkZCBIs6TGhafruZg8i+hkDISBLXqht+GDMHAhK5o1zgAUkaK4JhETM88iOK3vMoJ1UT1AJndvUFTNHy6r8a/9iQB/riNLWM7IyIwCE3ihiPjn5cQv1kFF0pcXxILbwkDSQM5FL5+8A8KRsOfwhARGYlGTZuiecvmaNa0EaIiIxD+UwiCgwLg5+sNuVwKiUSKoIQs3LfTm/jj+ERtKXAGUSnH+WUxKP/D/qmxCJIwCIzujYF92iPCOxDtx23GDV59RVywPhyELb2K9cNaQsFIENi6B/rGt0JwAylCOo9D9uXPvAPWhBtfFV4UrsOU3o2hkHihYfSv6J80FEOT+qNn19YIVdCQhcRgwJ85uGRHxIkw4xQKEdaD6g4yOmvaLNABvbDWWn8Evgh9PXzDgwNpGNDcGzTjhYatf0H/wQPQvX0k/KQ0pCExGDRjPU49c6BkuODPKjDVT7B3cgcESBgEtUnAwIT2CFcEosP4zbhpVX6I8x0IRz345h16bzBbj/2w8T9ud3NlwSRtaXYJGk3OB+f5LAConuPQ9M5G+1IHRHgHIGb0RhR/5ZZolQ/3IjU+HFJGipC2vTFocF90buQDaWgXjM86jZc6JYF9j1PzuyNMRsMrKg59ujWBjzQIcbPy8cbG0NxvbxF/zEIjhj6tR/0B51ePRIdQGWjGCyHRPfBbvzg0C5JBEtQOozOzkNJSonfM/7KKx6GdgLjuXSnx6vQKDG3jD4ah4d24C/olJSOxVwxC5T5okbQU/5Q4opcJvM8LvM+JP79KvLu8DfMnDEJ82wj4+QajUbsEjF28E5ffKaF+uRF9FdpgNVk05l3madS4UC4DLEqLlqNfIy/Q3o3wy4D++KWZPxRN+mPxP695HiSKNA8C4IiMJjZUzWf7uH0QFNqDLVnsUtzm+WmW39qKce39QEuC0LZ3L8SESKFoMRQ5d/i1FvEIuSUUguv57q/D6hHRj+WIf00Q3c6j5Li7yXAlri/tDB+pDHJffwSGhCIiqhGatmiGJo0jEfFTQwT6+0DeQAJZ+AjstlRahP2AgxNbIip2Kg5ZbE9YjaK5raGQSOHl7Qv/oGCEhkcgsklTNNfdJywEQYF+8PGWQSpVoOm0AqsVg5TX5iNGxiBs0GY81OoW3+7uQmpCE3gzNBj/poj7bSjGTvkLC5etRMaCmUhJ6oIIBQ2KUaBZ4iIcecTH5/sEG34LhpeENg3+EfCPlnghoF0q/qmVnkruL7eI7c1xz3poewu+1tzyXINAIBAIdRESTEQguJQKvLpyGFuylmHJsixs3ZePK8++OXdg/+Mligtykb1yBdbtzMedj/Y5ZNhvT3H+4DZkr1qK9OVrseVgEZ59q/lEVW+LcXhzJjKWZWH7sRt4Z49PgP2B19ePY0f2amSkZyBz4w4cKDiH4kfv8MOpwbN4t38kIiQUaFk0/jpPou8dRvUGRdtWYuWGY/iXlxNbRxVeXTmErWuWYfn6nTh2/TVHdpQFRFsfTsJ+xdOLx7Br/Qosy9qKA6f/xWdHDkwFHV8l3tw5h/wD27Fh9VKkL8tE9t+7cfj0bbxz1H8t1DiFQtD5YlH+qAA5azfhyM2PAmTLCX09LaoyPD5/AFvXrcTS9AysycnF4VPFKPnuzAcg0rMKShVeXjqILZnLsCJ7F45ff8NTfojwHQhJnf/mHXlv2vW4eg1yL73ltx7VH1C8fx1WZR/Ffbu292q8vnrYsC8V27kvqb/i6YX9yFmdgaWrNmF3/kU8LrOkW6lReu8Edm5YiYzVW3Do0gvwOe50y71F7DELjgj6tBHs9+coOrAZWcuXYOnqjdh15Dwef1VDdXcZujTQHqDIYjD/muuCHPS48l2py/H04jHs2boOK5YsxcoNO1Fw5yOcHrVga1eEfa4Wv4UvB0Zqss8pCkzYRBy3q3Wgi+SyFnXpPZzYmY0Vy9Zg64FzeFwunMLu3DwIgL0ymthQZlTj3MymkFCaA8nGqWfsG9f3F7hyfBeyV65E9u6T+LfUzi/b7eWWUIik57u7Dmv8qGL5sRzxrwmi29UNOV7rMtwD+HpgJMJjpiH/vfmcV+H1pZ1YMmUY+sQ2RqCcAU3RkPqFoVn77kiesQYHr72uJd3bjXF3uUVsb4771kPbG4Db+7QIBAKBQDCDBBMRCATP5XsR/mojBU1J0Gj8YdSwxQkEAoFAIBAIBKdR4VFmPLy0B2TSmPmojVgiQl2lCqenN9IGYNDwSdqBD/XSriHz4PGoXyA7QdtaRRKOicdJsg+BUH8gMpwfLNT8ojtQXVnlRq3KCQQCgUAgEAj1FRJMRCAQPJQKFKfHQcFQkDRLwVESSUQgEAgEAoFAsAsW314U48KNl7azSpXXsbiDVHNAzvii9/rH5HCHIBzKm0jvJNW30IvPfOSmFQVFhsyD5/NlP0YGaVrqMD+NwxG7qjURCASPhshwAoFAIBAIBAKhTkKCiQgEgkdSeXMZfvGlQctaYeqJT4K1tiAQCAQCgUAg1AdUeLF7DJopaFCMDI3GH7Ja5bKsYDIaSzWZ9tJWqThNDsgJAqJ6tBrd5LS2hV5HpN+sn2WvyDx4PlWnp6ORlAJFMYiYeAxfa/uBCASCyyAynEAgEAgEAoFAqJuQYCICgeB5fL+K9F98QTMKtJt9Bl9IJBGBQCAQCAQCwR4qCzGtMaPNoKcgbbcQxZbOvapvISNODpqiQMtaYuqJzySIncAJ++0xCnflYGfBXXy0eZ5aiWsL2kOqawvTay0e1qGyV2Qe6iIsPl7IxMi4pmgaOwTp/7zTykQVbi3ppHmHstaYfaGylp+TQCA4C5HhBAKBQCAQCAQCgQQTEQgEz4L9iBPToyFjJIhM3oZH1bX9QAQCgUAgEAgET4N9k4P+Ck0gESUJRu+1d1FTrfyBGyt6wJ+hQDH+6LqwCGUkkojAxY9iZMT7gaYoUIwPeq1/YrXVS+XdTPQO1FRyoL07Yv7F7y59VFEh81A3Kf8HU5tI9IGY8sRt+MACUD9CZrwMFEXDlwQSEAieD5HhBAKBQCAQCAQCASSYiEAgeBRVeLh1CCIlDALil+DyV3KaQyAQCAQCgUBwgO+HMSaYhjR6HLac+w/faqiVSjw/lIJoOQ2K8UHM1CN4RQ7HCTyoOjUVERJtoBolRYf0m7BU0EH18ggmt9FWvZJGYFDOv6hy+dOKB5mHuonq9lLENtC+V0aB2KU3oASgvJOBLg1o0LIYzLlAAgkIBE+HyHACgUAgEAgEAoEAkGAiAoHgMajx+ugfaKNg4Bebivw31nKiCAQCgUAgEAgEDtjPODoxChKfOCy4UGrauqz6Nc5mJqO5nAYti0C/ZUX4SFRPAk+qT/+JRlJNqxd5y7HYV2K+eFT4cGUTRkcrQFMUmID2SNn1ABW18rTiQeahbsJ+yEVyIA1aFoV+C47gcSUAdQl2D48Ew/ggdu5ZlJKcHwLB4yEynEAgEAgEAoFAIAAkmIhAIHgEarwrnIuuARKEJizF+Y/EO0kgEAgEAoFAcA72fSEW9oqAzLcpek9Mw/LMVVg6eyx6t/QHw3ghovtUbLnyAaQgEcEuqh9h94R28GMYBLfpi5FTZ2PBkhVYs3YNVqbPwti+0QiS0qAVEeg6Zjnyn9bRo1cyD3WUqv+3d8cuUQdQHMD/iwJpOJfGGmpxCOcmEdFT8pCLEBt+gxwcImUICuEQOYna0iKEyEGLs1MiLoqEThI0uBwNcgghfP0HnMS88/p8/oLHGx48+PJeDr5U8uRhT54OFJlfWkyt3JfSg968KDby87rTJcD9Y4YDAAARJgI6XivHm9PpL/XkWXUt+y6mAwBwW/6eZe/bp7yfnsyrkeGMvylSX1hJY/eXNx3c3GUzJztbWf04k2KymsrYcAYHh1KuvM5U7UM+f/2e3dPzdlf57+lDl7rI7x8bWaq/zcRoORPFuyw3DmNVhy5jhgMAwH9PmAjoYM3sr1fz/NHjvJxt5KTV7noAAAAAAAAAoLsJEwGd68925srVLGwd+bsOAAAAAAAAAHdAmAgAAAAAAAAAAEiSXAEx8ybzwTm7AQAAAABJRU5ErkJggg==" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 5.1.3 k-Fold Cross-Validation\n", + "This approach involves randomly k-fold CV dividing the set of observations into $k$ groups, or folds, of approximately equal size. The first fold is treated as a validation set, and the method is fit on the remaining $k-1$ folds. The mean squared error, $MSE_1$, is then computed on the observations in the held-out fold.\n", + "$${CV}_{(k)}=\\frac{1}{n}\\sum_{i=1}^k MSE_i\\tag{5.5}$$ \n", + "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)" + ] + }, + { + "attachments": { + "%E5%9B%BE%E7%89%87.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 5.1.4 Bias-Variance Trade-Off for k-Fold Cross-Validation\n", + "Performing k-fold CV for, say, $k = 5$ or $k = 10$ will lead to an intermediate level of bias, since each training set contains $(k − 1)n/k$ observations—fewer than in the LOOCV approach, but substantially more than in the validation set approach.Therefore, from the perspective of bias reduction, it is clear that LOOCV is to be preferred to k-fold CV. \n", + "However, we know that bias is not the only source for concern in an estimating procedure; we must also consider the procedure’s variance. It turns out that LOOCV has higher variance than does k-fold CV with $k" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import sklearn\n", + "from sklearn import *\n", + "np.random.seed(0)\n", + "X, y = sklearn.datasets.make_moons(200, noise=0.25)\n", + "plt.scatter(X[:, 0], X[:, 1], s=40, c=y, cmap=plt.cm.Spectral)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_decision_boundary(pred_func):\n", + " x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n", + " y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n", + " h = 0.01\n", + " xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n", + " \n", + "# 用预测函数预测一下\n", + " Z = pred_func(np.c_[xx.ravel(), yy.ravel()])\n", + " Z = Z.reshape(xx.shape)\n", + " \n", + "# 画图\n", + " plt.contourf(xx, yy, Z, cmap=plt.cm.Spectral)\n", + " plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Spectral)\n", + " \n", + "from sklearn.linear_model import LogisticRegressionCV\n", + " \n", + "# 训练逻辑回归分类器\n", + "clf = sklearn.linear_model.LogisticRegressionCV()\n", + "clf.fit(X, y)\n", + " \n", + "# 画决策边界\n", + "plot_decision_boundary(lambda x: clf.predict(x))\n", + "plt.title(\"Logistic Regression\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [], + "source": [ + "powers = np.arange(1,11)\n", + "import statsmodels.api as sm\n", + "from sklearn.metrics import accuracy_score,confusion_matrix\n", + "from sklearn.model_selection import cross_val_score \n", + "errors_list = []\n", + "scores_list = []\n", + "accuracy_train_list = []\n", + "for power in powers:\n", + " np.random.seed(0)\n", + " X, y = sklearn.datasets.make_moons(200, noise=0.25)\n", + " poly = PolynomialFeatures(power,include_bias=False)#1-10次项\n", + " X = poly.fit_transform(X)\n", + " X_train,X_test,y_train,y_test = train_test_split(X,y,test_size = 0.1,random_state = 0)#划分训练、测试数据,random_state为0时每次结果不同\n", + " clf = sklearn.linear_model.LogisticRegressionCV()\n", + " clf.fit(X_train, y_train)\n", + " errors = []\n", + " errors.append(accuracy_score(y_test,clf.predict(X_test)))#测试错误率\n", + " errors_list.append(errors) \n", + " \n", + " accuracy_train = []\n", + " accuracy_train = accuracy_score(y_train,clf.predict(X_train))##训练错误率\n", + " accuracy_train_list.append(accuracy_train)\n", + " \n", + " score = []\n", + " score = cross_val_score(clf,X,y,scoring='accuracy',cv = 10).mean()##10折CV错误率\n", + " scores_list.append(score)" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0,0.5,'accuracy')" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot( range(10),errors_list, color='r', alpha=0.8, linewidth=2)\n", + "plt.plot( range(10),accuracy_train_list, color='y', alpha=0.8, linewidth=2)\n", + "plt.plot( range(10),scores_list, color='#4169E1', alpha=0.8, linewidth=2)\n", + "plt.title('clf')\n", + "plt.xlabel('Degree')\n", + "plt.ylabel('accuracy')" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.neighbors import KNeighborsClassifier\n", + "np.random.seed(0)\n", + "X, y = sklearn.datasets.make_moons(200, noise=0.25)\n", + "X_train,X_test,y_train,y_test = train_test_split(X,y,test_size = 0.1,random_state = 0)\n", + "scores_list = []\n", + "accuracy_test_list = []\n", + "accuracy_train_list = []\n", + "for n in range(1,141):##从n=1开始\n", + " knn = KNeighborsClassifier(n_neighbors=n)\n", + " knn.fit(X_train,y_train)\n", + " \n", + " accuracy_test = []\n", + " accuracy_test = accuracy_score(y_test,knn.predict(X_test))##测试错误率\n", + " accuracy_test_list.append(accuracy_test)\n", + " \n", + " accuracy_train = []\n", + " accuracy_train = accuracy_score(y_train,knn.predict(X_train))##训练错误率\n", + " accuracy_train_list.append(accuracy_train)\n", + " \n", + " score = []\n", + " score = cross_val_score(knn,X,y,scoring='accuracy',cv = 10).mean()##10折CV错误率\n", + " scores_list.append(score)" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0,0.5,'accuracy')" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot( range(140),accuracy_test_list, color='r', alpha=0.8, linewidth=2)\n", + "plt.plot( range(140),accuracy_train_list, color='y', alpha=0.8, linewidth=2)\n", + "plt.plot( range(140),scores_list, color='#4169E1', alpha=0.8, linewidth=2)\n", + "plt.title('KNN')\n", + "plt.xlabel('n')\n", + "plt.ylabel('accuracy')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 5.2 The Bootstrap\n", + "The power of the bootstrap lies in the fact that it can be easily applied to a wide range of statistical learning methods, including some for which a measure of variability is otherwise difficult to obtain and is not automatically output by statistical software\n", + "Example:we wish to determine the best investment allocation under a simple model.Minimize $Var(\\alpha X+(1-\\alpha)Y)$.\n", + "$$\\alpha=\\frac{\\sigma^2_Y-\\sigma_XY}{\\sigma^2_X+\\sigma^2_Y-2\\sigma_XY}\\tag{5.8}$$\n", + "where $\\sigma^2_X=Var(X),\\sigma^2_Y=Var(Y),2\\sigma_{XY}=Cov(X,Y)$\n", + "$$\\alpha=\\frac{\\hat\\sigma^2_Y-\\hat\\sigma_{XY}}{\\hat\\sigma^2_X+\\hat\\sigma^2_Y-2\\hat\\sigma_{XY}}\\tag{5.9}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax1 = fig.add_subplot(2,2,1)\n", + "ax2 = fig.add_subplot(2,2,2)\n", + "ax3 = fig.add_subplot(2,2,3)\n", + "ax4 = fig.add_subplot(2,2,4)\n", + "\n", + "X = np.random.multivariate_normal([0, 0], [[1, 0.5], [0.5, 1.25]], 100)\n", + "ax1.plot(X[:, 0], X[:, 1], 'x')\n", + "X = np.random.multivariate_normal([0, 0], [[1, 0.5], [0.5, 1.25]], 100)\n", + "ax2.plot(X[:, 0], X[:, 1], 'x')\n", + "X = np.random.multivariate_normal([0, 0], [[1, 0.5], [0.5, 1.25]], 100)\n", + "ax3.plot(X[:, 0], X[:, 1], 'x')\n", + "X = np.random.multivariate_normal([0, 0], [[1, 0.5], [0.5, 1.25]], 100)\n", + "ax4.plot(X[:, 0], X[:, 1], 'x')" + ] + }, + { + "cell_type": "code", + "execution_count": 203, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.599475318461756" + ] + }, + "execution_count": 203, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_list = []\n", + "for _ in range(1000):\n", + " X = np.random.multivariate_normal([0, 0], [[1, 0.5], [0.5, 1.25]], 100)##模拟生成数据,α=0.6\n", + " a=(np.var(X[:, 1])-np.cov(X[:, 0],X[:, 1]))/(np.var(X[:, 0])+np.var(X[:, 1])-2*np.cov(X[:, 0],X[:, 1]))\n", + " a = a[:, 1][0] \n", + " a_list.append(a)\n", + "a_mean = np.mean(a_list)\n", + "a_mean" + ] + }, + { + "cell_type": "code", + "execution_count": 204, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.08049120930757767" + ] + }, + "execution_count": 204, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_deviation = np.std(a_list, ddof = 1)##设置成无偏的\n", + "a_deviation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The mean over all 1,000 estimates for $\\alpha $ is \n", + "$$\\overline{\\alpha }=\\frac{1}{1,000}\\sum_{r=1}^{1,000} \\hat\\alpha _r=0.0.5995\\tag{5.10}$$\n", + "very close to $\\alpha = 0.6$, and the standard deviation of the estimates is\n", + "$$ \\sqrt {\\frac{1}{1,000-1}\\sum_{r=1}^{1,000} (\\hat\\alpha _r-\\overline{\\alpha })^2}=0.0805\\tag{5.11}$$\n", + "The mean over all 1,000 estimates for $\\alpha $ is \n", + "This gives us a very good idea of the accuracy of $\\hat\\alpha:SE(\\hat\\alpha)\\approx0.00209$ Soroughly speaking, for a random sample from the population, we would expect $\\hat\\alpha $ to differ from $\\alpha $ by approximately 0.08, on average." + ] + }, + { + "attachments": { + "%E5%9B%BE%E7%89%87.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The bootstrap approach allows us to use a computer to emulate the process of obtaining new sample sets,so that we can estimate the variability of ˆα without generating additional samples.\n", + "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 220, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.581204780566992" + ] + }, + "execution_count": 220, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from random import choices\n", + "ab_list = []\n", + "X = np.random.multivariate_normal([0, 0], [[1, 0.5], [0.5, 1.25]], 100)\n", + "for _ in range(1000):\n", + " x = choices(X[:, 0], k=100)##无放回抽样\n", + " y = choices(X[:, 1], k=100)\n", + " ab = (np.var(y)-np.cov(x,y))/(np.var(x)+np.var(y)-2*np.cov(x,y))\n", + " ab = ab[:, 1][0] \n", + " ab_list.append(ab)\n", + "ab_mean = np.mean(ab_list)\n", + "ab_mean" + ] + }, + { + "cell_type": "code", + "execution_count": 221, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0490942877512629" + ] + }, + "execution_count": 221, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ab_deviation = np.std(ab_list, ddof = 1)##设置成无偏的\n", + "ab_deviation" + ] + }, + { + "cell_type": "code", + "execution_count": 222, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 222, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax1 = fig.add_subplot(2,2,1)\n", + "n, bins, patches =plt.hist(x=a_list, bins='auto', color='cadetblue',alpha=0.7, rwidth=10)\n", + "plt.grid(axis='y', alpha=0.75)\n", + "plt.xlabel('Value')\n", + "plt.ylabel('Number')\n", + "plt.title('True')\n", + "plt.axvline(0.6,c=\"coral\")\n", + "\n", + "ax2 = fig.add_subplot(2,2,2)\n", + "n, bins, patches =plt.hist(x=ab_list, bins='auto', color='palegoldenrod',alpha=0.7, rwidth=10)\n", + "plt.grid(axis='y', alpha=0.75)\n", + "plt.xlabel('Value')\n", + "plt.ylabel('Number')\n", + "plt.title('Bootstrap')\n", + "plt.axvline(0.6,c=\"coral\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 223, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0,0.5,'Value')" + ] + }, + "execution_count": 223, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data =pd.DataFrame ({'True':a_list,'Bootstrap':ab_list})\n", + "sns.boxplot(data=data.iloc[:,0:2],palette=\"Set3\")\n", + "plt.axhline(0.6,c=\"coral\")\n", + "plt.ylabel('Value')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 5.3 Lab: Cross-Validation and the Bootstrap" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 5.3.1 The Validation Set Approach\n", + "We explore the use of the validation set approach in order to estimate the test error rates that result from fitting various linear models on the Auto data set.we use the random_state parameter in order to set a seed for seed python’s random number generator, so that the reader of this book will obtain precisely the same results as those shown below.We select a random subset of 196 observations out of\n", + "the original 392 observations." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import statsmodels.api as sm\n", + "import random\n", + "import pandas as pd \n", + "import numpy as np\n", + "from sklearn.preprocessing import PolynomialFeatures\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.metrics import mean_squared_error\n", + "from sklearn.model_selection import cross_val_score ##交叉验证\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(392, 9)" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Auto = pd.read_csv('Auto.csv')\n", + "# Horsepower has strings, convert to np.nan\n", + "Auto['horsepower'] = Auto['horsepower'].replace('?', np.nan).astype(float)\n", + "Auto = Auto.dropna()\n", + "Auto.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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mpgcylindersdisplacementhorsepowerweightaccelerationyearoriginnamehorsepower2
018.08307.0130.0350412.0701chevrolet chevelle malibu16900.0
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218.08318.0150.0343611.0701plymouth satellite22500.0
316.08304.0150.0343312.0701amc rebel sst22500.0
417.08302.0140.0344910.5701ford torino19600.0
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" + ], + "text/plain": [ + " mpg cylinders displacement horsepower weight acceleration year \\\n", + "0 18.0 8 307.0 130.0 3504 12.0 70 \n", + "1 15.0 8 350.0 165.0 3693 11.5 70 \n", + "2 18.0 8 318.0 150.0 3436 11.0 70 \n", + "3 16.0 8 304.0 150.0 3433 12.0 70 \n", + "4 17.0 8 302.0 140.0 3449 10.5 70 \n", + "\n", + " origin name horsepower2 \n", + "0 1 chevrolet chevelle malibu 16900.0 \n", + "1 1 buick skylark 320 27225.0 \n", + "2 1 plymouth satellite 22500.0 \n", + "3 1 amc rebel sst 22500.0 \n", + "4 1 ford torino 19600.0 " + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Auto.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "mpg=Auto['mpg']\n", + "horsepower=Auto['horsepower']" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "def get_error(data,power,seed):\n", + " '''\n", + " power:多项式的最高幂次\n", + " seed:随机种子数值\n", + " '''\n", + " n = len(data)\n", + " poly = PolynomialFeatures(power,include_bias=False)\n", + " horsepower = poly.fit_transform(Auto['horsepower'].to_frame())\n", + " mpg=Auto['mpg']\n", + " X_train,X_test,y_train,y_test = train_test_split(horsepower,mpg,test_size = 0.5,random_state = seed)\n", + " ols = sm.OLS(y_train,sm.add_constant(X_train),missing='drop').fit() # Drop the missing value\n", + " y_predict= ols.predict(sm.add_constant(X_test))\n", + " return mean_squared_error(y_test,y_predict) ##计算均方误差" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "23.61661706966988" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_error(Auto,1,0) ##一元一次回归,随机种子为0" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "18.763031346897098" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_error(Auto,2,0) ##一元二次回归,随机种子为0" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "18.796941632643296" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_error(Auto,3,0) ##一元三次回归,随机种子为0" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "24.80212062059357" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_error(Auto,1,1) ##一元一次回归,随机种子为1" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "18.848292603274214" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_error(Auto,2,1) ##一元二次回归,随机种子为1" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "18.805111358391517" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_error(Auto,3,1) ##一元三次回归,随机种子为1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* A model that predicts mpg using a quadratic function of horsepower performs better than a model that involves only a linear function of horsepower,, and there is little evidence in favor of a model that uses a cubic function of horsepower." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 5.3.2 Leave-One-Out Cross-Validation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* we can automatically compute the estimators for any generalized linear model using the sm.formula.glm() functions and sm.OLS(),but i find that sm.formula.glm() and sm.OLS() can't go cross-validation.so I combine LinearRegression() and cross_val_score() to go cross-validation." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
OLS Regression Results
Dep. Variable: mpg R-squared: 0.606
Model: OLS Adj. R-squared: 0.605
Method: Least Squares F-statistic: 599.7
Date: Tue, 23 Mar 2021 Prob (F-statistic): 7.03e-81
Time: 16:26:10 Log-Likelihood: -1178.7
No. Observations: 392 AIC: 2361.
Df Residuals: 390 BIC: 2369.
Df Model: 1
Covariance Type: nonrobust
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coef std err t P>|t| [0.025 0.975]
const 39.9359 0.717 55.660 0.000 38.525 41.347
horsepower -0.1578 0.006 -24.489 0.000 -0.171 -0.145
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Omnibus: 16.432 Durbin-Watson: 0.920
Prob(Omnibus): 0.000 Jarque-Bera (JB): 17.305
Skew: 0.492 Prob(JB): 0.000175
Kurtosis: 3.299 Cond. No. 322.


Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: mpg R-squared: 0.606\n", + "Model: OLS Adj. R-squared: 0.605\n", + "Method: Least Squares F-statistic: 599.7\n", + "Date: Tue, 23 Mar 2021 Prob (F-statistic): 7.03e-81\n", + "Time: 16:26:10 Log-Likelihood: -1178.7\n", + "No. Observations: 392 AIC: 2361.\n", + "Df Residuals: 390 BIC: 2369.\n", + "Df Model: 1 \n", + "Covariance Type: nonrobust \n", + "==============================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "const 39.9359 0.717 55.660 0.000 38.525 41.347\n", + "horsepower -0.1578 0.006 -24.489 0.000 -0.171 -0.145\n", + "==============================================================================\n", + "Omnibus: 16.432 Durbin-Watson: 0.920\n", + "Prob(Omnibus): 0.000 Jarque-Bera (JB): 17.305\n", + "Skew: 0.492 Prob(JB): 0.000175\n", + "Kurtosis: 3.299 Cond. No. 322.\n", + "==============================================================================\n", + "\n", + "Warnings:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", + "\"\"\"" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 用OLS回归\n", + "ols = sm.OLS(mpg,sm.add_constant(horsepower),missing='drop').fit() # Drop the missing value\n", + "ols.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
Generalized Linear Model Regression Results
Dep. Variable: mpg No. Observations: 392
Model: GLM Df Residuals: 390
Model Family: Gaussian Df Model: 1
Link Function: identity Scale: 24.066
Method: IRLS Log-Likelihood: -1178.7
Date: Tue, 23 Mar 2021 Deviance: 9385.9
Time: 16:26:21 Pearson chi2: 9.39e+03
No. Iterations: 3 Covariance Type: nonrobust
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coef std err z P>|z| [0.025 0.975]
Intercept 39.9359 0.717 55.660 0.000 38.530 41.342
horsepower -0.1578 0.006 -24.489 0.000 -0.170 -0.145
" + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " Generalized Linear Model Regression Results \n", + "==============================================================================\n", + "Dep. Variable: mpg No. Observations: 392\n", + "Model: GLM Df Residuals: 390\n", + "Model Family: Gaussian Df Model: 1\n", + "Link Function: identity Scale: 24.066\n", + "Method: IRLS Log-Likelihood: -1178.7\n", + "Date: Tue, 23 Mar 2021 Deviance: 9385.9\n", + "Time: 16:26:21 Pearson chi2: 9.39e+03\n", + "No. Iterations: 3 Covariance Type: nonrobust\n", + "==============================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "Intercept 39.9359 0.717 55.660 0.000 38.530 41.342\n", + "horsepower -0.1578 0.006 -24.489 0.000 -0.170 -0.145\n", + "==============================================================================\n", + "\"\"\"" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 用广义线性回归\n", + "glm=sm.formula.glm(\"mpg~ horsepower\", data=Auto).fit()\n", + "glm.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "均方误差的均值:\n" + ] + }, + { + "data": { + "text/plain": [ + "[24.231513517929226,\n", + " 19.248213124489677,\n", + " 19.334984064029175,\n", + " 19.424430310525526,\n", + " 19.03321208374037]" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "scores = []\n", + "n = len(Auto) #n为交叉验证的折数,此处留一交叉验证中n为样本数量\n", + "for power in range(1,6):\n", + " poly = PolynomialFeatures(power,include_bias=False)\n", + " X = poly.fit_transform(Auto['horsepower'].to_frame())\n", + " y = Auto['mpg']\n", + " lr = LinearRegression()\n", + " scores.append(-cross_val_score(lr,X,y,cv = n,scoring = 'neg_mean_squared_error').mean())\n", + "print('均方误差的均值:')\n", + "scores" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 5.3.3 k-Fold Cross-Validation\n", + "* The cross_val_score() function can also be used to implement k-fold CV. Below we use k = 10, a common choice for k, on the Auto data set." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[27.439933652339867,\n", + " 21.235840055802235,\n", + " 21.33660618322732,\n", + " 21.35388698137593,\n", + " 20.90564041386055,\n", + " 20.78089595969293,\n", + " 20.983284725982564,\n", + " 21.07765383909857,\n", + " 21.037310108207016,\n", + " 20.98140725217811]" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "##k=10\n", + "random.seed(17)\n", + "scores = []\n", + "for power in range(1,11):\n", + " poly = PolynomialFeatures(power,include_bias=False)\n", + " X = poly.fit_transform(Auto['horsepower'].to_frame())\n", + " y = Auto['mpg']\n", + " lr = LinearRegression()\n", + " scores.append(-cross_val_score(lr,X,y,cv = 10,scoring = 'neg_mean_squared_error').mean())\n", + "scores" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 5.3.4 The Bootstrap\n", + "We illustrate the use of the bootstrap in the simple example of Section 5.2,\n", + "as well as on an example involving estimating the accuracy of the linear\n", + "regression model on the Auto data set." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* Estimating the Accuracy of a Statistic of Interest\n", + "* Example:we wish to determine the best investment allocation under a simple model.Minimize $Var(\\alpha X+(1-\\alpha)Y)$.\n", + "where $\\sigma^2_X=Var(X),\\sigma^2_Y=Var(Y),2\\sigma_{XY}=Cov(X,Y)$\n", + "$$\\alpha=\\frac{\\hat\\sigma^2_Y-\\hat\\sigma_{XY}}{\\hat\\sigma^2_X+\\hat\\sigma^2_Y-2\\hat\\sigma_{XY}}\\tag{5.9}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " X Y\n", + "1 -0.895251 -0.234924\n", + "2 -1.562454 -0.885176\n", + "3 -0.417090 0.271888\n", + "4 1.044356 -0.734198\n", + "5 -0.315568 0.841983" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio=pd.read_csv('portfolio.csv',index_col=0)\n", + "portfolio.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "#风险最小时的alpha\n", + "def get_alpha(data,index):\n", + " x=data.iloc[index,0]\n", + " y=data.iloc[index,1]\n", + " alpha=(np.cov(y)-np.cov(x,y))/(np.cov(x)+np.cov(y)-2*np.cov(x,y))\n", + " return alpha[0,1] " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5758320745928298" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_alpha(portfolio,list(range(100))) ##基于全样本计算的风险最小时的alpha" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5596158281037941" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#进行一次随机抽样,风险最小时的alpha\n", + "np.random.seed(0)\n", + "index=np.random.choice(range(100),100,replace=True) \n", + "get_alpha(portfolio,index)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "alpha: 0.5795622652632741 估计误差: 0.08878472522902055\n" + ] + } + ], + "source": [ + "#进行1000次随机抽样,风险最小时的alpha\n", + "alpha_list=[]\n", + "for _ in range(1000):\n", + " index=np.random.choice(range(100),100,replace=True) \n", + " alpha=get_alpha(portfolio,index)\n", + " alpha_list.append(alpha)\n", + "alpha_est=np.mean(alpha_list) \n", + "alpha_deviation = np.std(alpha_list, ddof = 1)##设置成无偏的\n", + "print('alpha:',alpha_est,'估计误差:',alpha_deviation)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* Estimating the Accuracy of a Linear Regression Model\n", + "* The bootstrap approach can be used to assess the variability of the coefficient estimates and predictions from a statistical learning method. Here\n", + "we use the bootstrap approach in order to assess the variability of the\n", + "estimates for $\\beta$0 and $\\beta$1, the intercept and slope terms for the linear regression model that uses horsepower to predict mpg in the Auto data set. " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "#计算回归系数\n", + "def get_params(data,Y,X,index):\n", + " glm=sm.formula.glm(Y+\"~\"+X, data=data.iloc[index,]).fit()\n", + " params=glm.params\n", + " return params" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Intercept 39.935861\n", + "horsepower -0.157845\n", + "dtype: float64" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_params(Auto,\"mpg\",\"horsepower\",list(range(392))) ##全样本的线性回归" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Intercept 40.239109\n", + "horsepower -0.161896\n", + "dtype: float64" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random.seed(1)\n", + "index=np.random.choice(range(392),392,replace=True)\n", + "get_params(Auto,\"mpg\",\"horsepower\",index) ##一次随机抽样的线性回归" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "#采用bootstrap方法估计回归系数及估计误差\n", + "def boot(data,Y,X,R):\n", + " '''\n", + " Y:因变量名\n", + " X:自变量名\n", + " R:重抽样次数\n", + " '''\n", + " params_list=[]\n", + " for _ in range(R):\n", + " index=np.random.choice(range(392),392,replace=True)\n", + " params=get_params(Auto,Y,X,index)\n", + " params_list.append(params)\n", + " param=np.stack(params_list)\n", + " return \"回归系数:{params}, 估计误差: {error}\".format(params=np.mean(param,axis=0), error=np.std(param,axis=0, ddof = 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'回归系数:[39.95814206 -0.15799266], 估计误差: [0.84508414 0.00732834]'" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "boot(Auto,\"mpg\",\"horsepower\",1000) ##1000次随机抽样的线性回归" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
Generalized Linear Model Regression Results
Dep. Variable: mpg No. Observations: 392
Model: GLM Df Residuals: 390
Model Family: Gaussian Df Model: 1
Link Function: identity Scale: 24.066
Method: IRLS Log-Likelihood: -1178.7
Date: Tue, 23 Mar 2021 Deviance: 9385.9
Time: 16:47:28 Pearson chi2: 9.39e+03
No. Iterations: 3 Covariance Type: nonrobust
\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
coef std err z P>|z| [0.025 0.975]
Intercept 39.9359 0.717 55.660 0.000 38.530 41.342
horsepower -0.1578 0.006 -24.489 0.000 -0.170 -0.145
" + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " Generalized Linear Model Regression Results \n", + "==============================================================================\n", + "Dep. Variable: mpg No. Observations: 392\n", + "Model: GLM Df Residuals: 390\n", + "Model Family: Gaussian Df Model: 1\n", + "Link Function: identity Scale: 24.066\n", + "Method: IRLS Log-Likelihood: -1178.7\n", + "Date: Tue, 23 Mar 2021 Deviance: 9385.9\n", + "Time: 16:47:28 Pearson chi2: 9.39e+03\n", + "No. Iterations: 3 Covariance Type: nonrobust\n", + "==============================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "Intercept 39.9359 0.717 55.660 0.000 38.530 41.342\n", + "horsepower -0.1578 0.006 -24.489 0.000 -0.170 -0.145\n", + "==============================================================================\n", + "\"\"\"" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "glm=sm.formula.glm(\"mpg~ horsepower\", data=Auto.iloc[0:392,]).fit()\n", + "glm.summary()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* The standard error estimates are somewhat different from the estimates obtained using the bootstrap. the standard formulas assume (somewhat unrealistically) that the xi are fixed, and all the variability comes from the variation in the errors $\\epsilon$i.\n", + "* The bootstrap approach does not rely on any of these assumptions, and so it is likely giving a more accurate estimate of the standard errors of β0 and β1 than is the summary() function" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'回归系数:[ 5.69115502e+01 -4.66765463e-01 1.23385717e-03], 估计误差: [2.12769477e+00 3.40673157e-02 1.22987666e-04]'" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Auto['horsepower2']=Auto['horsepower']**2\n", + "res=boot(Auto,\"mpg\",\"horsepower+horsepower2\",1000)\n", + "res" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
Generalized Linear Model Regression Results
Dep. Variable: mpg No. Observations: 392
Model: GLM Df Residuals: 389
Model Family: Gaussian Df Model: 2
Link Function: identity Scale: 19.131
Method: IRLS Log-Likelihood: -1133.2
Date: Tue, 23 Mar 2021 Deviance: 7442.0
Time: 16:47:36 Pearson chi2: 7.44e+03
No. Iterations: 3 Covariance Type: nonrobust
\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
coef std err z P>|z| [0.025 0.975]
Intercept 56.9001 1.800 31.604 0.000 53.371 60.429
horsepower -0.4662 0.031 -14.978 0.000 -0.527 -0.405
horsepower2 0.0012 0.000 10.080 0.000 0.001 0.001
" + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " Generalized Linear Model Regression Results \n", + "==============================================================================\n", + "Dep. Variable: mpg No. Observations: 392\n", + "Model: GLM Df Residuals: 389\n", + "Model Family: Gaussian Df Model: 2\n", + "Link Function: identity Scale: 19.131\n", + "Method: IRLS Log-Likelihood: -1133.2\n", + "Date: Tue, 23 Mar 2021 Deviance: 7442.0\n", + "Time: 16:47:36 Pearson chi2: 7.44e+03\n", + "No. Iterations: 3 Covariance Type: nonrobust\n", + "===============================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "-------------------------------------------------------------------------------\n", + "Intercept 56.9001 1.800 31.604 0.000 53.371 60.429\n", + "horsepower -0.4662 0.031 -14.978 0.000 -0.527 -0.405\n", + "horsepower2 0.0012 0.000 10.080 0.000 0.001 0.001\n", + "===============================================================================\n", + "\"\"\"" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "glm2=sm.formula.glm(\"mpg~ horsepower+horsepower2\", data=Auto.iloc[0:392,]).fit()\n", + "glm2.summary()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 注意:python中的np.var()与R中的var()计算方式有差异:\n", + "* python中的np.var()计算的是总体方差,分母是n\n", + "* R中的var()计算的是样本方差,分母是n-1\n", + "* python中的np.cov(x)计算的是样本方差,分母是n-1\n", + "#### python中np.cov(x,y)与R中np.cov(x,y)返回值不同:\n", + "* python中np.cov(x,y),返回协方差矩阵\n", + "* R中np.cov(x,y),返回协方差" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.1173559345375694" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x=portfolio['X']\n", + "y=portfolio['Y']\n", + "np.var(x) #计算的是总体方差,分母是n" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.1173559345375694" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.mean((x-np.mean(x))**2)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(1.12864236)" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.cov(x) #np.cov(x)计算的是样本方差,分母是n-1" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.128642358118757" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sum((x-np.mean(x))**2)/(len(x)-1)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1.12864236, 0.62635829],\n", + " [0.62635829, 1.30823747]])" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.cov(x[:],y[:]) #python中np.cov(x,y),返回协方差矩阵" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git "a/10-\347\240\224\347\251\266\346\226\271\346\263\225\345\255\246\344\271\240\347\217\255/12-\346\234\272\345\231\250\345\255\246\344\271\240/04-\351\207\215\346\212\275\346\240\267resampling/Auto.csv" "b/10-\347\240\224\347\251\266\346\226\271\346\263\225\345\255\246\344\271\240\347\217\255/12-\346\234\272\345\231\250\345\255\246\344\271\240/04-\351\207\215\346\212\275\346\240\267resampling/Auto.csv" new file mode 100644 index 00000000..885b6cc4 --- /dev/null +++ "b/10-\347\240\224\347\251\266\346\226\271\346\263\225\345\255\246\344\271\240\347\217\255/12-\346\234\272\345\231\250\345\255\246\344\271\240/04-\351\207\215\346\212\275\346\240\267resampling/Auto.csv" @@ -0,0 +1,398 @@ +mpg,cylinders,displacement,horsepower,weight,acceleration,year,origin,name +18,8,307,130,3504,12,70,1,chevrolet chevelle malibu +15,8,350,165,3693,11.5,70,1,buick skylark 320 +18,8,318,150,3436,11,70,1,plymouth satellite +16,8,304,150,3433,12,70,1,amc rebel sst +17,8,302,140,3449,10.5,70,1,ford torino +15,8,429,198,4341,10,70,1,ford galaxie 500 +14,8,454,220,4354,9,70,1,chevrolet impala +14,8,440,215,4312,8.5,70,1,plymouth fury iii +14,8,455,225,4425,10,70,1,pontiac catalina +15,8,390,190,3850,8.5,70,1,amc ambassador dpl +15,8,383,170,3563,10,70,1,dodge challenger se +14,8,340,160,3609,8,70,1,plymouth 'cuda 340 +15,8,400,150,3761,9.5,70,1,chevrolet monte carlo +14,8,455,225,3086,10,70,1,buick estate wagon (sw) +24,4,113,95,2372,15,70,3,toyota corona mark ii +22,6,198,95,2833,15.5,70,1,plymouth duster +18,6,199,97,2774,15.5,70,1,amc hornet +21,6,200,85,2587,16,70,1,ford maverick +27,4,97,88,2130,14.5,70,3,datsun pl510 +26,4,97,46,1835,20.5,70,2,volkswagen 1131 deluxe sedan +25,4,110,87,2672,17.5,70,2,peugeot 504 +24,4,107,90,2430,14.5,70,2,audi 100 ls +25,4,104,95,2375,17.5,70,2,saab 99e +26,4,121,113,2234,12.5,70,2,bmw 2002 +21,6,199,90,2648,15,70,1,amc gremlin +10,8,360,215,4615,14,70,1,ford f250 +10,8,307,200,4376,15,70,1,chevy c20 +11,8,318,210,4382,13.5,70,1,dodge d200 +9,8,304,193,4732,18.5,70,1,hi 1200d +27,4,97,88,2130,14.5,71,3,datsun pl510 +28,4,140,90,2264,15.5,71,1,chevrolet vega 2300 +25,4,113,95,2228,14,71,3,toyota corona +25,4,98,?,2046,19,71,1,ford pinto +19,6,232,100,2634,13,71,1,amc gremlin +16,6,225,105,3439,15.5,71,1,plymouth satellite custom +17,6,250,100,3329,15.5,71,1,chevrolet chevelle malibu +19,6,250,88,3302,15.5,71,1,ford torino 500 +18,6,232,100,3288,15.5,71,1,amc matador +14,8,350,165,4209,12,71,1,chevrolet impala +14,8,400,175,4464,11.5,71,1,pontiac catalina brougham +14,8,351,153,4154,13.5,71,1,ford galaxie 500 +14,8,318,150,4096,13,71,1,plymouth fury iii +12,8,383,180,4955,11.5,71,1,dodge monaco (sw) +13,8,400,170,4746,12,71,1,ford country squire (sw) +13,8,400,175,5140,12,71,1,pontiac safari (sw) +18,6,258,110,2962,13.5,71,1,amc hornet sportabout (sw) +22,4,140,72,2408,19,71,1,chevrolet vega (sw) +19,6,250,100,3282,15,71,1,pontiac firebird +18,6,250,88,3139,14.5,71,1,ford mustang +23,4,122,86,2220,14,71,1,mercury capri 2000 +28,4,116,90,2123,14,71,2,opel 1900 +30,4,79,70,2074,19.5,71,2,peugeot 304 +30,4,88,76,2065,14.5,71,2,fiat 124b +31,4,71,65,1773,19,71,3,toyota corolla 1200 +35,4,72,69,1613,18,71,3,datsun 1200 +27,4,97,60,1834,19,71,2,volkswagen model 111 +26,4,91,70,1955,20.5,71,1,plymouth cricket +24,4,113,95,2278,15.5,72,3,toyota corona hardtop +25,4,97.5,80,2126,17,72,1,dodge colt hardtop +23,4,97,54,2254,23.5,72,2,volkswagen type 3 +20,4,140,90,2408,19.5,72,1,chevrolet vega +21,4,122,86,2226,16.5,72,1,ford pinto runabout +13,8,350,165,4274,12,72,1,chevrolet impala +14,8,400,175,4385,12,72,1,pontiac catalina +15,8,318,150,4135,13.5,72,1,plymouth fury iii +14,8,351,153,4129,13,72,1,ford galaxie 500 +17,8,304,150,3672,11.5,72,1,amc ambassador sst +11,8,429,208,4633,11,72,1,mercury marquis +13,8,350,155,4502,13.5,72,1,buick lesabre custom +12,8,350,160,4456,13.5,72,1,oldsmobile delta 88 royale +13,8,400,190,4422,12.5,72,1,chrysler newport royal +19,3,70,97,2330,13.5,72,3,mazda rx2 coupe +15,8,304,150,3892,12.5,72,1,amc matador (sw) +13,8,307,130,4098,14,72,1,chevrolet chevelle concours (sw) +13,8,302,140,4294,16,72,1,ford gran torino (sw) +14,8,318,150,4077,14,72,1,plymouth satellite custom (sw) +18,4,121,112,2933,14.5,72,2,volvo 145e (sw) +22,4,121,76,2511,18,72,2,volkswagen 411 (sw) +21,4,120,87,2979,19.5,72,2,peugeot 504 (sw) +26,4,96,69,2189,18,72,2,renault 12 (sw) +22,4,122,86,2395,16,72,1,ford pinto (sw) +28,4,97,92,2288,17,72,3,datsun 510 (sw) +23,4,120,97,2506,14.5,72,3,toyouta corona mark ii (sw) +28,4,98,80,2164,15,72,1,dodge colt (sw) +27,4,97,88,2100,16.5,72,3,toyota corolla 1600 (sw) +13,8,350,175,4100,13,73,1,buick century 350 +14,8,304,150,3672,11.5,73,1,amc matador +13,8,350,145,3988,13,73,1,chevrolet malibu +14,8,302,137,4042,14.5,73,1,ford gran torino +15,8,318,150,3777,12.5,73,1,dodge coronet custom +12,8,429,198,4952,11.5,73,1,mercury marquis brougham +13,8,400,150,4464,12,73,1,chevrolet caprice classic +13,8,351,158,4363,13,73,1,ford ltd +14,8,318,150,4237,14.5,73,1,plymouth fury gran sedan +13,8,440,215,4735,11,73,1,chrysler new yorker brougham +12,8,455,225,4951,11,73,1,buick electra 225 custom +13,8,360,175,3821,11,73,1,amc ambassador brougham +18,6,225,105,3121,16.5,73,1,plymouth valiant +16,6,250,100,3278,18,73,1,chevrolet nova custom +18,6,232,100,2945,16,73,1,amc hornet +18,6,250,88,3021,16.5,73,1,ford maverick +23,6,198,95,2904,16,73,1,plymouth duster +26,4,97,46,1950,21,73,2,volkswagen super beetle +11,8,400,150,4997,14,73,1,chevrolet impala +12,8,400,167,4906,12.5,73,1,ford country +13,8,360,170,4654,13,73,1,plymouth custom suburb +12,8,350,180,4499,12.5,73,1,oldsmobile vista cruiser +18,6,232,100,2789,15,73,1,amc gremlin +20,4,97,88,2279,19,73,3,toyota carina +21,4,140,72,2401,19.5,73,1,chevrolet vega +22,4,108,94,2379,16.5,73,3,datsun 610 +18,3,70,90,2124,13.5,73,3,maxda rx3 +19,4,122,85,2310,18.5,73,1,ford pinto +21,6,155,107,2472,14,73,1,mercury capri v6 +26,4,98,90,2265,15.5,73,2,fiat 124 sport coupe +15,8,350,145,4082,13,73,1,chevrolet monte carlo s +16,8,400,230,4278,9.5,73,1,pontiac grand prix +29,4,68,49,1867,19.5,73,2,fiat 128 +24,4,116,75,2158,15.5,73,2,opel manta +20,4,114,91,2582,14,73,2,audi 100ls +19,4,121,112,2868,15.5,73,2,volvo 144ea +15,8,318,150,3399,11,73,1,dodge dart custom +24,4,121,110,2660,14,73,2,saab 99le +20,6,156,122,2807,13.5,73,3,toyota mark ii +11,8,350,180,3664,11,73,1,oldsmobile omega +20,6,198,95,3102,16.5,74,1,plymouth duster +21,6,200,?,2875,17,74,1,ford maverick +19,6,232,100,2901,16,74,1,amc hornet +15,6,250,100,3336,17,74,1,chevrolet nova +31,4,79,67,1950,19,74,3,datsun b210 +26,4,122,80,2451,16.5,74,1,ford pinto +32,4,71,65,1836,21,74,3,toyota corolla 1200 +25,4,140,75,2542,17,74,1,chevrolet vega +16,6,250,100,3781,17,74,1,chevrolet chevelle malibu classic +16,6,258,110,3632,18,74,1,amc matador +18,6,225,105,3613,16.5,74,1,plymouth satellite sebring +16,8,302,140,4141,14,74,1,ford gran torino +13,8,350,150,4699,14.5,74,1,buick century luxus (sw) +14,8,318,150,4457,13.5,74,1,dodge coronet custom (sw) +14,8,302,140,4638,16,74,1,ford gran torino (sw) +14,8,304,150,4257,15.5,74,1,amc matador (sw) +29,4,98,83,2219,16.5,74,2,audi fox +26,4,79,67,1963,15.5,74,2,volkswagen dasher +26,4,97,78,2300,14.5,74,2,opel manta +31,4,76,52,1649,16.5,74,3,toyota corona +32,4,83,61,2003,19,74,3,datsun 710 +28,4,90,75,2125,14.5,74,1,dodge colt +24,4,90,75,2108,15.5,74,2,fiat 128 +26,4,116,75,2246,14,74,2,fiat 124 tc +24,4,120,97,2489,15,74,3,honda civic +26,4,108,93,2391,15.5,74,3,subaru +31,4,79,67,2000,16,74,2,fiat x1.9 +19,6,225,95,3264,16,75,1,plymouth valiant custom +18,6,250,105,3459,16,75,1,chevrolet nova +15,6,250,72,3432,21,75,1,mercury monarch +15,6,250,72,3158,19.5,75,1,ford maverick +16,8,400,170,4668,11.5,75,1,pontiac catalina +15,8,350,145,4440,14,75,1,chevrolet bel air +16,8,318,150,4498,14.5,75,1,plymouth grand fury +14,8,351,148,4657,13.5,75,1,ford ltd +17,6,231,110,3907,21,75,1,buick century +16,6,250,105,3897,18.5,75,1,chevroelt chevelle malibu +15,6,258,110,3730,19,75,1,amc matador +18,6,225,95,3785,19,75,1,plymouth fury +21,6,231,110,3039,15,75,1,buick skyhawk +20,8,262,110,3221,13.5,75,1,chevrolet monza 2+2 +13,8,302,129,3169,12,75,1,ford mustang ii +29,4,97,75,2171,16,75,3,toyota corolla +23,4,140,83,2639,17,75,1,ford pinto +20,6,232,100,2914,16,75,1,amc gremlin +23,4,140,78,2592,18.5,75,1,pontiac astro +24,4,134,96,2702,13.5,75,3,toyota corona 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