diff --git a/lectures/Lect05_Lasso.pptx b/lectures/Lect05_Lasso.pptx index 93833662..bc5599f8 100644 Binary files a/lectures/Lect05_Lasso.pptx and b/lectures/Lect05_Lasso.pptx differ diff --git a/unit05_lasso/demo2_housing.ipynb b/unit05_lasso/demo2_housing.ipynb index 85b8427c..f43ae38c 100644 --- a/unit05_lasso/demo2_housing.ipynb +++ b/unit05_lasso/demo2_housing.ipynb @@ -28,7 +28,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 56, "metadata": {}, "outputs": [], "source": [ @@ -54,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 57, "metadata": {}, "outputs": [ { @@ -87,7 +87,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 58, "metadata": {}, "outputs": [ { @@ -285,7 +285,7 @@ "[5 rows x 81 columns]" ] }, - "execution_count": 50, + "execution_count": 58, "metadata": {}, "output_type": "execute_result" } @@ -304,7 +304,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 59, "metadata": {}, "outputs": [ { @@ -331,7 +331,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 60, "metadata": {}, "outputs": [ { @@ -360,7 +360,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 61, "metadata": {}, "outputs": [ { @@ -392,7 +392,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 62, "metadata": {}, "outputs": [ { @@ -427,7 +427,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 63, "metadata": {}, "outputs": [ { @@ -471,7 +471,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 64, "metadata": {}, "outputs": [], "source": [ @@ -492,7 +492,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 65, "metadata": {}, "outputs": [ { @@ -697,7 +697,7 @@ "[5 rows x 27 columns]" ] }, - "execution_count": 10, + "execution_count": 65, "metadata": {}, "output_type": "execute_result" } @@ -708,7 +708,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 66, "metadata": {}, "outputs": [ { @@ -920,7 +920,7 @@ "[5 rows x 142 columns]" ] }, - "execution_count": 11, + "execution_count": 66, "metadata": {}, "output_type": "execute_result" } @@ -938,7 +938,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 67, "metadata": {}, "outputs": [ { @@ -966,7 +966,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 68, "metadata": {}, "outputs": [], "source": [ @@ -984,7 +984,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 69, "metadata": {}, "outputs": [], "source": [ @@ -1004,7 +1004,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 70, "metadata": {}, "outputs": [], "source": [ @@ -1034,15 +1034,15 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Training R^2 = 9.3906e-01\n", - "Test R^2 = -1.8796e+14\n" + "Training R^2 = 9.4446e-01\n", + "Test R^2 = -1.0147e+21\n" ] } ], @@ -1086,14 +1086,14 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Test R^2 = 0.895618\n" + "Test R^2 = 0.878493\n" ] } ], @@ -1114,7 +1114,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 73, "metadata": {}, "outputs": [ { @@ -1123,13 +1123,13 @@ "Text(0, 0.5, 'Actual')" ] }, - "execution_count": 18, + "execution_count": 73, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1161,23 +1161,23 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 74, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " GrLivArea 0.289619\n", - " 2ndFlrSF 0.257129\n", - " KitchenQual_Gd -0.212738\n", - " KitchenQual_TA -0.200082\n", - " LotArea 0.182198\n", - " YearBuilt 0.164207\n", - " OverallQual 0.163386\n", - " ExterQual_Gd -0.150223\n", - " Exterior2nd_VinylSd 0.146460\n", - " ExterQual_TA -0.145911\n" + " GrLivArea 0.258285\n", + " ExterQual_TA -0.254387\n", + " ExterQual_Gd -0.251679\n", + " 2ndFlrSF 0.250028\n", + " KitchenQual_TA -0.221195\n", + " KitchenQual_Gd -0.212047\n", + " Exterior2nd_VinylSd 0.211004\n", + " Exterior1st_Wd Sdng -0.190559\n", + " Exterior2nd_Wd Sdng 0.185249\n", + " Exterior1st_VinylSd -0.184559\n" ] } ], @@ -1200,12 +1200,12 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 75, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1244,7 +1244,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 76, "metadata": {}, "outputs": [], "source": [ @@ -1268,14 +1268,14 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 77, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "0.9121744758332279\n" + "Test R^2= 0.899122\n" ] } ], @@ -1285,16 +1285,18 @@ "from sklearn.exceptions import ConvergenceWarning\n", "simplefilter(\"ignore\", category=ConvergenceWarning)\n", "\n", + "# Select alpha\n", "alpha = 3e-3\n", "\n", - "\n", + "# Create Lasso object and fit on training data\n", "reg = Lasso(alpha=alpha)\n", "reg.fit(Xtr1, ytr1)\n", "\n", + "# Predict and score on test\n", "yhat1 = reg.predict(Xts1)\n", "rsq = r2_score(yts1, yhat1)\n", "\n", - "print(rsq)" + "print('Test R^2= %f' % rsq)" ] }, { @@ -1306,12 +1308,12 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 78, "metadata": {}, "outputs": [ { "data": { - "image/png": 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7dZGZXQA8DkzricGJQMBUYiF5I7Y7xB/+8If2n9966y0gXIbx6KOPxq0hvuSSS7jyyitpaWnhM5/5DGeccQYAQ4cOTant2nvvvRd3+WmnncayZcuSPvbEE09k1apV7bdra2u73F9v5+UIMs65Z4BnYpZ1vnQyvLwyFzGJiPRlUS02Tydc6rbMzBY559bErNfjLTYDphpkkVTdcsstPPfcc+zdu5czzjiD2bNnex1Sn+ZpgiwiIjnnmxabQTOcJpsWSUkmk3xI+pQgi4jkl6y12My0g1Ao1Mq+JufbTh9+70Ki+FI3aNAg9uzZ094horW11ddlAoqv++LF5pxj7969ab0flSCLiOSXrLXYzLSDUNFfnyVY4Hzb6cPvXUgUX+o2bdpEU1MTQ4YMwcxS7hPsFcXXfbGxOefYsWMHZWVlTJkyJeXtKEEWEckvWWuxmalgQCUWkhsjR45k69atfPzxx0B4Vrh40y77heLrvnix9e/fn5EjR6a1HSXIIiL5xTctNnWRnuRKYWEhY8aMab9dVVWV1mhirim+7stWbIEsxCIiIr2Ec64FiLTYfBv4XaTFppmdm8tY1AdZRPxKI8giInnGLy02A6Y+yCLiTxpBFhERT4RrkEVE/EcJsoiIeMJUgywiPqUEWUREPBEMGE5FyCLiQ0qQRUTEE0HVIIuITylBFhERT5ihGmQR8SUlyCIi4olgQCPIIuJPSpBFRMQTavMmIn6lBFlERDwRMLV5ExF/UoIsIiKeCATU5k1E/EkJsoiIeCKoqaZFxKeUIIuIiCdMNcgi4lNKkEVExBPhqaaVIYuI/yhBFhERTwQ01bSI+JQSZBER8YTavImIXylBFhERT4RLLERE/EcJsoiIeEIjyCLiV0qQRUTEEwFNNS0iPqUEWUREPBEw1AdZRHxJCbKIiHgiaEbI6yBEROJQgiwiIp7QRCEi4ldKkEVExBPBADjVWIiIDylBFhERTwRUYiEiPqUEWUREPBEImC7SExFfUoIsIiKeCKoGWUR8SgmyiIh4ImBoJj0R8SUlyCIi4glNFCIifqUEWUREPKGppkXEr5Qgi4iIJ4Kmi/RExJ+UIIuIiCcCAdTmTUR8SQmyiIh4ImCmiUJExJc8TZDN7EwzW2dmG8zshjj3/6eZrTKzFWb2dzOb4EWcIiKSfapBFhG/8ixBNrMgcDdwFjABuDhOAvywc26ic24y8H3ghzkOU0REekgwYGrzJiK+5OUI8nRgg3Nuo3OuCXgUOC96BefcnqibpahlpohIn2GGRpBFxJcKPNx3BbAl6vZWYEbsSmZ2DTAPKAJOi7chM7sSuBJg+PDhVFVVpR1MXV1dtx6XSE1NI0DWtpnt+LLNz/H5OTZQfJnwc2zg//i8pi4WIuJXXibIFmdZp49K59zdwN1mdgnwDeALcda5H7gfYOrUqa6ysjLtYKqqqujO4xK5Z91SACorT8jK9rIdX7b5OT4/xwaKLxN+jg38H5/XgpooRER8yssSi63AqKjbI4FtSdZ/FJjdoxGJiEjOmJnavImIL3mZIC8DxpnZGDMrAi4CFkWvYGbjom6eDazPYXwiItKDggFUYiEivuRZiYVzrsXMrgUWA0HgIefcajP7NvCac24RcK2ZfRJoBnYRp7xCRER6J7V5ExG/8rIGGefcM8AzMctujvr5upwHJSIiORGwcJs35xxm8S5LERHxhmbSExERTwTakmKNIouI3yhBFhERTwTbvoFCKkQWEZ9RgiwiIp6IlFW0aghZRHxGCbKIiHgiGAgnyBpAFhG/UYIsIiKeCEZGkJUhi4jPKEEWERFPRBpXqAZZRPxGCbKIiHgiUmIRUg2yiPiMEmQREfGE2ryJiF8pQRYREU8EAupiISL+pARZREQ8EVANsoj4lBJkERHxRLC9xEIJsoj4ixJkERHxREAThYiITylBFhERTwQ0UYiI+JQSZBER8USw7RtII8gi4jdKkEVExBMB1SCLiE8pQRYREU8oQRYRv1KCLCKSZ8zsTDNbZ2YbzOyGOPf/p5mtMrMVZvZ3M5vQE3FoohAR8SslyCIiecTMgsDdwFnABODiOAnww865ic65ycD3gR/2RCyqQRYRv1KCLCKSX6YDG5xzG51zTcCjwHnRKzjn9kTdLAV6JIM1lViIiE8VeB2AiIjkVAWwJer2VmBG7Epmdg0wDygCTuuJQNonCgn1xNZFRLpPCbKISH6xOMs6DeE65+4G7jazS4BvAF/otCGzK4ErAYYPH05VVVVagbz1UQsAy157jR0bgmk9Nhfq6urSfk65pPi6z8+xgeLLRLZiU4IsIpJftgKjom6PBLYlWf9R4J54dzjn7gfuB5g6daqrrKxML5J1H8Eby5h87LEce0h5eo/NgaqqKtJ+Tjmk+LrPz7GB4stEtmJTDbKISH5ZBowzszFmVgRcBCyKXsHMxkXdPBtY3xOBtHex0EV6IuIzGkEWEckjzrkWM7sWWAwEgYecc6vN7NvAa865RcC1ZvZJoBnYRZzyimwIBtTmTUT8SQmyiEiecc49AzwTs+zmqJ+vy0UckRFktXkTEb9RgiwiIrnXsJPh6x9llBXj1OZNRHxGNcgiIpJ79ds57JWvM8U20KoEWUR8RgmyiIjkXskQAAZbrWqQRcR3lCCLiEjuFZfhMMqtTl0sRMR3lCCLiEjuBYK09htEObWaalpEfEcJsoiIeKK1XznlVqsuFiLiO0qQRUTEE63FgymjTiPIIuI7SpBFRMQTof7lukhPRHxJCbKIiHgiVDyYMqtTiYWI+I4SZBER8USofzmDdZGeiPiQEmQREfGE6z+YYmuClkavQxER6cDTBNnMzjSzdWa2wcxuiHP/PDNbY2Yrzex5MzvUizhFRCT7QsWDASjcW+NxJCIiHXmWIJtZELgbOAuYAFxsZhNiVlsOTHXOTQKeAL6f2yhFRKSnuJJyAAr27fI4EhGRjrwcQZ4ObHDObXTONQGPAudFr+Cce8E519B28xVgZI5jFBGRnlIcnm66sEkJsoj4S4GH+64AtkTd3grMSLL+5cCf4t1hZlcCVwIMHz6cqqqqtIOpq6vr1uMSqakJ19Rla5vZji/b/Byfn2MDxZcJP8cG/o/PcyVtJRb7VGIhIv7iZYJscZbFvZTZzD4LTAVOiXe/c+5+4H6AqVOnusrKyrSDqaqqojuPS+SedUsBqKw8ISvby3Z82ebn+PwcGyi+TPg5NvB/fF5zbQlykUaQRcRnvEyQtwKjom6PBLbFrmRmnwRuAk5xzu3LUWwiItLDAm0X6RWpBllEfMbLGuRlwDgzG2NmRcBFwKLoFcxsCnAfcK5z7iMPYhQRkR4SKChijyuhqEklFiLiL54lyM65FuBaYDHwNvA759xqM/u2mZ3bttoCYADwuJmtMLNFCTYnIiK9TCBg7HIDKGre7XUoIiIdeFligXPuGeCZmGU3R/38yZwHJSIiOREMGLsYwBCNIIuIz3iaIPvNwuXVLFi8jm01jYwoK2b+rPHMnlLhdVgiIn1SwGCXG8iIZiXIIuIvSpDbvLytmV8/v4rG5lYAqmsaufGpVQBKkkVEekDAjF0MpH/zRq9DERHpwNOppv3kyXea25PjiMbmVhYsXudRRCIifVvAjN2ulH6qQRYRn1GC3GbH3rgtmNnWNuGHiIhkVzBg7KGEotYGCIW8DkdEpJ0S5DZD+sebtwRGlBXnOBIRkfwQMKhzxRgOmuu9DkdEpJ1qkNvMOaKQX7/d2qHMorgwyPxZ4z2MSkQkPjO7K87i3cBrzrn/zXU83WFm1FESvrGvFvoN9DYgEZE2GkFuc+KIQr57/kSKguGXpKKsmO+eP1EX6ImIX/UHJgPr2/5NAgYDl5vZj7wMLB11tJ2l21frbSAiIlE0ghxl9pQKHnl1MwCPXXWCx9GIiCR1OHBa26RLmNk9wLPA6cAqLwNLR30kQd67x9tARESiaARZRKR3qgBKo26XAiOcc63APm9CSl9D+wiyEmQR8Q+NIIuI9E7fB1aYWRVgwMnA7WZWCjznZWDpqFeJhYj4kBJkEZFeyDn3oJk9A0wnnCB/3Tm3re3u+d5Flp56i7pIT0TEJ1RiISLSe+0FPgB2Aoeb2ckex5O2epVYiIgPaQRZRKQXMrP/AK4DRgIrgOOBpcBpXsaVrkZTiYWI+I9GkEVEeqfrgGnA+865U4EpwMfehpQ+ZwH2BYqVIIuIryhBFhHpnfY65/YCmFk/59xaoNfNbBQwY1+gRCUWIuIrKrEQEemdtppZGbAQ+IuZ7QK2dfEY3zFgb3AAB2gEWUR8RAlyEguXV7Ng8Tq21TQyoqyY+bPGa2Y9EfEF59xn2n68xcxeAAYBf/YwpG4JGOwNlGiiEBHxlaQJspld6Jx73MzGOOc25SooP1i4vJobn1pFY3MrANU1jdz4VHhyKiXJIuIVMxscZ3Fk5rwBhDta9BoG7A2UqgZZRHylqxrkG9v+f7KnA/GbBYvXtSfHEY3NrSxYvM6jiEREANhOuGvFa23/Xo/695qHcXVLwKAxUKIEWUR8pasSi51tp+7GmNmi2Dudc+f2TFi59/K2Zm66YwnVNY0UBQM0tYbirretpjHHkYmIdPAToBJ4CXgE+LtzznkaUQYCBo2mBFlE/KWrBPlTwLHAr4Ef9Hw43li4vJpfvNVEU1tO3NQawoB43zgjyopzGZqISAfOuevMzAgnyZ8DfmJmzwL39MZSODNoDJRCo2qQRcQ/ukqQH3TOfc7MHnDO/TUnEXlgweJ17clxhINOSXJxYZD5s3pdFyUR6WPaRoxfMLPlwEXArcB64AFPA+uGDiUWoRAE1H1URLzXVYJ8nJkdClxqZg8QzhnbOed61cUgiSQqm3DQXm5RoS4WIuIDZlYKnAfMBYYBTwHHOue2eBpYNwVoK7HAQXM99BvodUgiIl0myPcSbht0GOELQKITZNe2vNcbUVZMdZwkuaKsmJHl4ZKKx646IddhiYjE8xHh0eJHgA2EP4unmdk0AOfcUx7GljYzo95Kwjf21SpBFhFfSHouyzl3l3PuE8BDzrnDnHNjov71ieQYYP6s8RTFvBIqpxARn3ocWA4cCXwaOCfq36c9jKtb2i/SA/VCFhHfSGmiEOfc1WZ2EjDOOff/zGwoMLA3XhASz+wpFax5ew2/WN1CU2uIomCA754/kdlTKnjk1c1ehyci0s45d5nXMWRTADqOIIuI+EBKV0OY2TeB69nfF7kI+E1PBeWFE0cUMuWQMgb2L2DKIWWqNRYRyQEzaGhPkDWCLCL+kOrlwp8BzgXqAZxz2wAViomISEYCBvVoBFlE/CXVBLmpra2Qg/arqEVEJMfM7MK2/8d4HUs2BAwarK2/vBJkEfGJVBPk35nZfUCZmV0BPEcv7LcpItIHRErdnvQ0iiwxoBaVWIiIv6R6kd6dZnY6sAcYD9zsnPtLj0YmIiLx7DSzF4AxZrYo9k7n3LkexNRtAYN61zaCvHe3t8GIiLRJKUFusxLo1/bzmz0Qi4iIdO1TwLHAr4EfeBxLxsyglQCUHQI7NngdjogIkGKCbGb/BiwAqgifEfuJmc13zj3Rg7GJiEhnDzrnPmdmDzjn/up1MJkKYLQ6BwdNgg809iIi/pDqCPJNwDTn3EcAZjaMcB2yEmQRkdw6zswOBS41swfoOMMpzrmd3oTVPWYQcsDBk2HtH8OThfQ/wOuwRCTPpZogByLJcZsdpH6Bn4iIZM+9wJ+Bw4DX6Zggu7blvUbAIBRycPAx4QUfvgWHnuhtUCKS91JNkP9sZouBR9puzwWe6ZmQREQkEefcXcBdZnaPc+5qr+PJlAEhF5Ugf/CmEmQR8VzSUWAzO9zMZjrn5gP3AZOAY4ClwP2Z7tzMzjSzdWa2wcxuiHP/yWb2hpm1mNkFme4vEwuXVzPzjiWMueFpZt6xhIXLq70MR0TynHPuajM7ycz+HcDMhqbaGzmFz955ZrbGzFaa2fNtJR09ImDQGnIwcDgMOEh1yCLiC12VSfwIqAVwzj3lnJvnnPsq4dHjH2WyYzMLAncDZwETgIvNbELMapuBy4CHM9lXprbX7uPGp1ZRXdOIA6prGrnxqVVKkkXEM2b2TeB69vdFLgJ+k8LjUvnsXQ5Mdc5NIrSmLK8AACAASURBVHytyfezFXfneMC5thsH60I9EfGHrhLk0c65lbELnXOvAaMz3Pd0YINzbqNzrgl4FDgvZj/vte0/lOG+MrJlVyONza0dljU2t7Jg8TqPIhIR4TPAuUA9gHNuGzAwhcel8tn7gnOuoe3mK8DIrEUdI2CEu1hAuMzi47XQ3NhTuxMRSUlXNcj9k9xXnOG+K4AtUbe3AjO6syEzuxK4EmD48OFUVVWlvY26ujpqahppaQnx/oc7Oe6WZ9ix11EQgJYE6Xl1TWPCfdXUhD/guxNLoviyta2e4Of4/BwbKL5M+Dk26PH4mpxzzswcgJmVpvi4dD97Lwf+FO+ObHz2hlpaqGusp6qqimHbHUe5EMsWP0b9gNFpbyvb8vz9lTE/x+fn2EDxZSJbsXWVIC8zsyuccx2mlTazywlfPZ0Ji7PMxVnWJefc/bTVRE+dOtVVVlamvY2qqirKyvrxXu0uPmp04YtGSJwcA1SUFZNoX/esWwpAZeUJaceSKL7uPK9cyVZ8C5dXs2DxOrbVNDKirJj5s8Yze0qFL2LrKYqv+/wcG/R4fL8zs/uAMjO7Avgi8EAXj4E0PnvN7LPAVOCUePdn47P33jf/TH/XL/w6VR8Aa+5k2tgh8In0t5Vtef7+ypif4/NzbKD4MpGt2LpKkL8C/N7MLmV/QjyVcK3bZzLc91ZgVNTtkcC2DLeZsaYWF/ebwuj4DVJcGGT+rPE5iio/LFxezY1PrWovZ4nUegMZJ8l9RU8cQEjv5Jy708xOB/YA44GbnXN/SeGhKX32mtknCffAP8U5ty8LIccVMNtfYjG47RrDnZt6anciIilJmiA75z4ETjSzU4Gj2xY/7ZxbkoV9LwPGtV11XQ1cBFyShe1mJNEQtgOKggGaWkNUKDHpEQsWr0tY663XWgcQEtdKoF/bz6le3dblZ6+ZTSHcuejMmB74WWdAKHKmrrg8/G+XEmQR8VZKfZCdcy8AL2Rzx865FjO7FlgMBIGHnHOrzezbwGvOuUVmNg34PVAOnGNm33LOHZXNOGLFjhRHVJQVM7I8XHb92FXZKZuQjrbVxL8wJ9HyfKMDCIlmZv8GLACqCH90/cTM5jvnks5wmspnb9t2BwCPmxnAZufcuT3xPAJGe0kbAOVjNIIsIp5LdaKQHuGce4aYCUecczdH/byMHrx6Op6iAqO51YWnPm0TMJg/azyPvLo5l6HknRFlxVTHSYZHlGV6PWjfoAMIiXETMC0ywmtmw4DnCLdlSyqFz95PZjfUxCw2QR48Bra+lqvdi4jEpemiYxQVBBkzpJSiYPilKQoGGDOkVCN0OTB/1niKC4MdlqnWe79EBwo6gMhbgZjyhx30ws/08EQhUQvKx8DurdDa7FlMIiKejiD71dCB/Rg6sF/XK0pWRQ5C/uuJlar1jmP+rPEdapBBBxB57s9mthh4pO32XBK0Y/OzAOA6jCAfBq4VajbDkLGexSUi+U0Jcjepm0DPmD2lor2URbXeHekAQqI55+ab2fnASYRrkO93zv3e47DSVhCAhqZWWkOOYMD2d7LYtUkJsoh4RglyN6ibgHhFBxBiZocDw51zLznnngKealt+spmNdc69622E6Tm8LMiz7+9jxZZdHHfo4HCJBehCPRHxVK+rV/ODZN0ERER62I+A2jjLG9ru61WOGhqkIGA8/3ZbOfXAg6CgWAmyiHhKCXI3qJuAiHhotHNuZexC59xrwOjch5OZ0kJj6uhylqxtS5DNoHy0eiGLiKeUIHeDugmIiIf6J7mvV34InXbkgaz9Z+3+QYbBh2kEWUQ8pQS5G9SOTEQ8tMzMrohdaGaXA697EE/GTjvyQAD+uLJtxuvBY2DXe+ASzW0qItKzdJFeN6ibgIh46CvA783sUvYnxFOBIuAznkWVgbHDBjDz8CEsWLyOCQcP4qTy0dDSCLX/hAMO9jo8EclDSpC7Sd0EklMbPJGe4Zz7EDjRzE4Fjm5b/LRzbomHYWXEzPjZpccx976lXP2b13n1okPDtSK7NilBFhFPKEGWrMvHNng6IJBcc869ALzgdRzZMqi4kP9z6uF8+ZHlfBgcFb7acOdGOPREjyMTkXykGmTJunxrgxc5IKiuacSx/4Bg4fJqr0MT6VUGlxQB8FHgQLCgLtQTEc8oQZasy7c2ePl2QCDSU8pLCwHYuddB2Si1ehMRzyhBlqzLtzZ4+XZAINJTBpeGR5B31jeHZ9TTCLKIeEQ1yD4Ur561zOug0jB/1vgONciQ/TZ4fqr5HVFWTHWcZLivHhCI9JTythKLXQ1N4VZvq3/vcUQikq+UIGdJbMLWvyDA0IH9urWdeBe4fe4TQSqzHHNPyUYbvO21+5h5x5K4CbDfLgLMxQGBSD7oXxiktCjIzvqm8Ahy467wv+Jyr0MTkTyjBDkL4iVsAevethLVsz75ToivZxpoDmXSBm977T427agn1DZHQGwCnKzm14sEORsHBH4aERfxUnlpEbvqm2DsmPCCN34Nx10G/Q/wNC4RyS+qQc6CeAlbyMGWXenXoCaqW92xN39mlNqyq7E9OY6IvujNjzW/s6dUMOWQMmaMGcxLN5yWVnL78rZmdcEQaTO4tIidDU1QMRXKDoW//Df8Zo7XYYlInlGCnAWJErOm1lDa20pUtzqkfzeHpHuhRK9b5HXuaxcBPvlOs7pg+MzC5dXMvGMJY254mpl3LNHBSg6Vl7SNIB9wMFz3Jpz4Jdi6DPbVeh2aiOQRJchZkCgxKwqm//LOnzWe4sJgh2XFhUHmHFHYrdh6o0SvW+R1jvcaGXDqkcN6OrQekejsgLpgeEN9rb3VPoIMYAaHzgQcfLjG07hEJL8oQc6CeAlbwGBUeXojmpE61OjRxIqyYr57/kROHOHfBHnh8mr+b1VD1kbbRpUXd6rhjr7obfaUCuYc17GEwQFPvl7dK5OYRGcHeuuIeG+nvtbeCo8gN+9fcNDE8P//XOlNQCKSl3SRXhe21+5jy65GxtzwNIXBQNykN95FWul2sYi90A/CSXbkYq2qqvWZP5kesD/u8Cho9AV13RV53bbsakx40dsLaz/u9LjoC/WiL3ob3N/470HVvr3obc4Rhfz67VZ1wfAJP9a455PBpYXU7WthX0sr/QqCcEBFuIvFPzP7XBERSYdGkJOIdFNoag3hCNfGbtpRH3eUMvYirXRbvCW60M/vo1Y9Ndo2dGC/pBe9JUtiYk+R79jrfH2K/MQRhXz3/IntpSVBs/bX0K8x92V9rca9tylvmyykfRTZLDyK/OFbHkYlIvlGCXIS8bop9FTS2ltHrbyKO1kS0xtPkc+eUtFeWtLqOo7GK0nOrUTXAWhEPzcGl0Rm02vav/CgSfDhamht8SgqEck3SpCT6KqbQjaVlcSvMfb7qJVXo23zZ41PWKfsx4ONVLoidNXeTnJj9pSKDiP6kesA/Fqi09e0jyA3RCfIE6FlL+x816OoRCTfKEFOoqtuCtmycHk1dXs7j4wY+H7UyqvRttlTKhgzpJRIjhydxPjtFHmqXRG6c0CmdmQ9I5O+1pKZwaXxRpDbLtTbtsKDiEQkHylBTiJeNwUIJzgz71jC9tp9WdnPgsXraI4dOiTcmeGrj61g5h1LeHlbc+cH9oB0E67IaFtB2zspl6NtQwf2Y0D/gk5JjN9Okada8pHuAVlfbkfm18Tfr3H1JeUlcUaQhx4BB4yEv/8QWrLzuSsikoy6WCQRudBu4/Z6YtPXTKaTjpVshDCS+PxiD0xY3r1ODKlOYxxvyuzoKZ4TmT2lgnueXUlZWVna00r3hNiuIkP6G/99nnenyKtTLPkYVV7cYYptSJ7Y+2HK7Z6YIru778OeFi+u+Y+/ybf+sJqahmZNEZ4lkXKzDiPIwUI450fw2wvghe/AaTdDUF9fItJzNILchcgoZbzRve5OJx0rlVP/TaH9FwemM4qVzihjb7y4LZHoU+Q/qCzxLGlZuLyaRMdRsb/3oQP7MWZIacq1r4kOrKprGnMywtlTI9jf+sNqX74P4/19NIccuxqa+9wIvpcKgwEO6F8Qnk0v2rjT4ZiL4aUfwx2j4I1feROgiOQFJcgpSlQfmmj59tp9LN9ck1KiEq8kIJ7qmka+sXBVWklJOkmvHy9uS1W2Tn13ZzuRx/xj006Wb67p8JgFi9d1OvsA++vLoydZWb65BiDl2tdkB1a5SNgSvbe+0lYW1J39Llxeza6G+OVEXr8PU9m/HxL5vmBwaRHbYxNkgHPuggsegsFj4cU7wcWfhVJEJFNKkFOUqD403vKFy6s79E/uKlGJvWo+md++sjmlhDeStKV6eh96b//X7bX74h40pFsj3p0R0ejHQPiAKfoxiZKqyNf6jU+tYsde16HPdqpxp3Jg1ZMJW7KEsbvJebJYk9Vi56IuONW/A68T+b7gqBGDeHnDdvbGfNZRUARHz4EZV0LN+5pdT0R6jBLkFMW7YC/RdNILFq9Lu11XpCRgYP8Cxg4tTVjfnGi8JPpLOTZpiyfel73fLm5L1ZZdjXEPGtItf+lOiUlXj0mUVFUk6NecTtlOqgdWqSZs6SaaXSWM3UnOk8Ua73348rbmnF2omOqZHr8fUPYGF00fxa6GZhav/mf8FcafDRaENYtyG5iI5A0lyCmK1IdGtxUbM6Q07ox5mZYqRPaVjugv5XiJV7RESW9X/V/jJVCRZet2hTqVF+RKuuUviXTn99bVY5IddCR6bDpxR9daV2RwBqA7o+epJIzpjqYmirWsuDBuucmT7zTntF65X8H+j8ySwgCFwY5Hsr3hgLI3mDl2KIcMLuHhf2yOv0LpEBg9E95WgiwiPUMJchpi24olmk460Ze8A0anODo3dGC/hBd3xYr9Uk6WlHQ1jXGi/q/xEqj5j7/J/CfeTFhekCvplL8k050Sk64eE3vQURQMdNmvOd24IzI5A9Cd0fNURrDTHU1N9BxuOfeouOvv2Bv/nEq2yxwi7/+axv310Y3NIZpb9+9fE4pkTyBgXDR9FP/YtJNN2+vjr/SJc2H7O7B9fW6DE5G8oAS5B8Sb5S1aqqeBiwq6TpHjfSknS0pipzH+xsJVKZ1WT3QFf3SCAN5cpFRWXNDpYKK4MBi3/CWZ7iSYqTwmunxmyiFlSfs1JyrbSUUmM8B196xHZIrseAqDlvZoarIDiniG9I//N5LtMod47//od37AUIu3LDvliGEArP1gT/wVRk4L///R2zmKSETyiRpJ9oDZUyr4yfPreTfRyAep9astKgjSGmqlJc4kIkGDYCDAtprG9oQ0OvGK7teaLIbfvrK5/Ys+kjSPGNS/0+h4OiNyidZN1DM3dnn/gkDC0flYTS2t1O9r6ZCsGDDnuArWf1iXcszQuX9yRQp9bWMf01VCF++xX3t8BS2hcDI4qrw45eceed2qaxopCgZY2NYn+5FXw6elY3tSJ+tZPKKsOG7NeiqJZqKa6dKigm4ljJHnsOaDPUw4+ICk25hzRCG/fru1w3u9uDDIqUcOY+YdS7LWn7mr93/IkdP+0/lg6IDw38GOeN0sAMpHh//f9V5O4hGR/OJpgmxmZwI/BoLAz51zd8Tc3w/4FXAcsAOY65x7L9dxxtpeu6+9Q0TQYMq3n6WmoZnCtgQHwiUSyRJkSC3pPHRwSafJIwBaHbS21apW1zTylcdW8PWnVtKvMEhNQzODigtpbg3REnIEzdpHjmPFLm1sbuXd7fVs2dXYPpp8y6LVCS8OjCdgxpgbnm5/PRYur+aWRas7nJ6urmnkq4+t4PHXNvPG5t0dJl+IHn3fsivc03dEWTGnHjmMP775Qft2CgIW9+DBAS+s/ZiRbb+Ll7c1c1NbsjSouBAz2NXQjEU9/5LCQPtrVxgMMHZoKV/613EsWLyOrzy2ov01LGt7fOzEEKkmdNtr9zH5W8+2P4eAhZOr6OR4e+0+tuxqZPQNT3eIMbJusO3/f2za2b7dptYQX31sRVusYGadHh8t9j0Tr7VaYcDYVb+Py/4cgj8/3eG+/bEkfm/VNDYz+oan29etiHNQFP4bCm8jOtaCgBEM7P9bi/7dRd7fkd9jWcx7PdGBHySfaCT2fVoQMAaXFDLzjiUpvf+raxoZe+MztDrX/lzLUnicxBeZUW9nogS5uAyKy5Ugi0iP8CxBNrMgcDdwOrAVWGZmi5xza6JWuxzY5Zw73MwuAr4HzM19tPs1tbR2SFhbHe3JRaRNVySxTJScRKQyOhcZTewq2QZoaA7R0BxOmiNf8gYJE5hkmlpDzH/8TVqd65ScdyWyv6bWEO9ur2f+E292KsWA8Gvz0rs7Oy0POXhvR3j2wsi+q2sa+c0rHS/YiZccR2yraaR/QYD3dtTzj6jVopP06EdHv3bx4o48p9gkP5J4xRM9YlsYDNAaCvHu3pZOzzWyz0076qnd28z2+qb25S7OunFeyg7rtjra+8N29auLft6xWkIu7hToHWPp+s0R/Tu88alVPP7aZl5+d2dUvJ1jbQk5WkIdZ7GMfu3j/Rz9Xo934JdshHfh8mrmP/5mh+fbEnJ8VJcgOUsgtoTpc58IUpnWFiSiqCA8YciOuiRtD8tHw65NOYtJRPKHlyPI04ENzrmNAGb2KHAeEJ0gnwfc0vbzE8BPzcycy253+H/efjvlS1/hssYA9ftaKO3X8WWJXransfNIWycvB7msMMAFe1sI4eJmKYGAcdjQUt7/3C/al132wZ4O+0p7v9KuIBigJRTqOkPMhhfDv+/I7+v9vx/A9rp9NG+v58vpHl3kiXM92u/CP/2IUYOL20/ft9tcw20tyUuSUrVxUAX3TTqPxuZWnnwnxNezstX8NGRAv8QlFgDlY+CDFbkLSETyhpcJcgWwJer2VmBGonWccy1mthsYAmyPXsnMrgSuBBg+fDhVVVVpBbL2tfcYsaeVQw8AigNAzIha1LI9KZTi7mtpZUzbtnY3ObY3dByJM4MCc2z8uI7NO+poDoUH/AoDxoElxqCiULf2K/u1pNniLRPRv28IsXLLThqalRj70b6WVjZ8FP67awlBQYD2v790lPU36ptIOMIesWNvKO3PI9lvSGkRO5KN4pePDrd6a22BoC6pEZHs8fITJd7l57HfNqmsg3PufuB+gKlTp7rKysq0ArlnXT9qampYfP1ZXa77f5LMThdRFAzwznc6b2vh8uoOF3O1hkIdygggfIFRvIu8vnjLMwlbWvU1AYNBxYUJpxyOVVZcSGm/AqprGrssa+kJsb/v2+9b2qE+OB3Janp7g94Sf1EwgFm4C0t3Bvkryop56YbTks5WCTCkf4B0P49kv8GlRby/oyHxCuWjIdQCe6qh/NCcxSUifZ+Xbd62AqOibo8EtiVax8wKgEFA9zKPLEllcoSm1lCnlmmRPqqRSSCaWkO0OlKecW/OEYUpzeKVK6n2aE7FgQOKqCgrxggnLmOGlPLNc45K6fkWBo1bzj2Kl244jYqy4qwlx4UBS+k5JmrL1p3Xp7gwyMUzRvnq95yOSPyFyXocpiFgdJqII5l01m1qDdHU0r3kGJJPBBNRXBhkzhGF3duBACmUWAweE/5fdcgikmVeJsjLgHFmNsbMioCLgNhpkRYBX2j7+QJgSbbrj9MV6dMaSejKigspLwl/CUZ/Pcf2Ou5qdrto8bpbnDiisMN+K8qK+dHcyXz2+EOykqwGrGOiWlZcSEFbohO9/fKSQsYOLeWwoaUdYhmQYh5gbduIJMP9Cowxwwbw0g2nsemOs5lySBlDB/Zrf53LihNvuLykkAUXHNM+2p5qK7pI/pbodTNg7vRRHDa0tMtJO+LNpri9dl/cRL24MMhnjz+kw3OKxBLpWXzb7Intv+fYGCPrRt5z0e+DH82d3OV7MpsisQTNOsW/4MJj4j7HomCAoJGwR3js++yH/zaZBRcc0/5aBI325xVPaVFBh/fW2Lb3aDxFwUCXB1PlJYWUFsVPfmMngtkfY8fX48QRSpAzMaS0iF0NTYQSHcmo1ZuI9BDPSizaaoqvBRYTbvP2kHNutZl9G3jNObcIeBD4tZltIDxyfJFX8UabPaWiUwlEvFOt0VfOp9NHOFF3i3j7XbB4XUqjppEv8Hing4NmjB5SwtCB/XjsqhPaR7sjXSIcHUs/5t63FOjYZ/f2h//SqR9tIstvPqO93GRfi2ufojr2uUWeb7L+vdES9fKFjh1FQm7/84m0GosW3SZu6MB+XDz9kE59pQMWPzn+xsJVcTuOlJcU8s1zjmL2lApumz2xw31VVVUdTsPH+z2nItFjuioDSIUBm+44O+U44sUy976lrPlgDwcO6MfellDKPYqj33PxfhcRNY3NFBcG+Z+5k9t7QV88/RDm/W5Fh5HiyKh/dIeMeM838j6N3V+8iWASxV9VpVneMjG4tIjWkGN3YzPlpUWdVzigAgKFSpBFJOs8varBOfcM8EzMspujft4LXJjruLqjq5nIkiVv0VKdGrir/SbaZrwv+++eP7E9oYDk0w4nSgROHFHIhE9MaE9kAwlqUUeUFcctN0nWLi3VhDHeBCnFhUGCtFIXU84ceT7Jfm+RPsqRfXc1mcnC5dX8NqYVXURJNyfNyIZ4r0uiWu1ENcTZnJkuciDWHV2diWlsbuWWRatpaGqlqTXE1l2NDC0toqaxhebWUHtv7qED+7G1poF9LfFT5OgR4sh+szXpiKRuyIBwUryjvil+ghwIQtkhsFMlFiKSXbrsN0u6moks0ex2BpSVFHaaeCLT/QbNCDkXd5vxvuyjE+RMph2O7CfZyFuiBPyWRasZf9DArp90kv1D5+f3lcfit4GKrJPKDHKxSfrc+5a2T+gRqTlvaGpJOCKZzhmEbIv3upx65DCefL260+9nznEVnZYXBUh7yuhsWri8muWba9oPqLoS26s6Mtr//Ncq20eiITxT5aD+AT6ua+rwe0tnhFh61pDSttn06vZx+IEDEqw0Fj5aE/8+EZFuUoKcJYlGLyNftJEv2NgZ5RywtznE/8yd3K0v4UT7TTTdcbwv++gEZOYdSygrid9BIp1RxGQjb19NkLDWNDazvXZfylMtJ9pv7PO79X/fjNsBJBJTot9b9EFDrO21+zpMGNPV2YFsjsB2R7zXZeqhg+P+fmKXn31Iq2cJYuzZhu4IufBEOzPvWNJp5H/MsAF8/exDNELsU4NLu5hND+Dw0+FP8+HDNTB8Qo4iE5G+TglylqRyKnb2lAoWLF7XIUGGrssXMt1vMrEJSHVNI4UBozBoHWa/S7f0IxJburXCW3Y1ZpQgxzPniMJO9dGR55Ps9UuWIG/Z1ZhyBwTD2xHYRBL9fmKXe9nHN52LW7sSPY159HtMI8T+NbStxGJ7sgT5qNnw5+vhrSdg+M2J1xMRSYMS5CxK5Yu2u+ULme43kXgJSHPItfcW7olRtWRlD5mMFCYSWx8d+3zSff0WLq9OOU4DLj3+ECVg3ZTs78KAkgIoKtpfotTQ1JK0f3bI9cxBmPSMSN3xzmSThQw4EMacAm89Caf9d3gmJhGRDClBzrFUa15zJVECsruxmRXfPKNH9jl7SgXf+sPqhInMPzbtZOYdS7KalGdrlDAy4p5ITx5Y5KNEfy+RiTpiO4DEq32P1RMHYdIzCoMBBhUXsrN+X/IVJ14A/3sNVL8OI6fmJjgR6dO87IOcl+JNLNCd8oVsSZSY93TC3tVEILF9pP0i2Sn/4sJg+6Qlm+44m5duOE3JcYbS/XuJ7UscT1e9rcVfhpQWJS+xADjybMBgw/M5iUlE+j59U+RY7Bd4UTCQ8IK6XPAqYY+dcCUY57RoolkFvZTslL+Xv8e+KvZ9EpmAo6u+yS/dcBo/mju503s70cyH4l+DS4uSl1gAFJfDsCNh66u5CUpE+ry8L7GI7eCQi1PikdP9kZZTXiZVXvZ5jS57GHPD03HX8bI9WjzJTvkrOe4ZmU6c0lX/avG3IQOKWPruDm5ZtJorTj4s8dmBUdNhzUIIhSCgsR8RyUxeJ8jxOjhE6kvzKdnxw1X8fqvNTqSrdn7iL/H6V0vv8pkpI/lg915+tfQ9AmbcfE6CVm6jpsMbv4Tt78CBR+Y0RhHpe/L6MDvZjHGSW36rzY6cWYhcMBiphe7OKX8R6b4zjz6IRdeexEnjhvHXdz5KvOKoGeH/VWYhIlmQ1wlyT7Rc6+sSJY6Z8lPimejMQnSSrAvxpDczszPNbJ2ZbTCzG+Lcf7KZvWFmLWZ2gRcxxjrliGG8+3E9W3Y2xF9hyOHhWuQtSpBFJHN5XWLRW07r+0WykpSyLGzfD6UekPzMgh/iE8mEmQWBu4HTga3AMjNb5JyLnq95M3AZ8LXcRxhf5fhh3PpH+Os7H/PZ4w/tvIIZjJwGW5flPjgR6XPyegTZb6f1/S5fSlJ0ZqFvij77sXxzDU0t2ZmhrxeaDmxwzm10zjUBjwLnRa/gnHvPObcS8E3T6MOGljKyvJiqdR8nXunQE+HjtbBnW+4CE5E+Ka9HkKOvcq+uaaRCEzsklTxxLM1tMD1IZxb6ntizH5H/t9d2MQFF31QBbIm6vRWY0Z0NmdmVwJUAw4cP79a05HV1dSk/btyAZv72zof8ZckLFAY6t4YsqR/CdOCdP/yYbRVnpR1LJrF5QfF1n59jA8WXiWzFltcJMuw/rR87I5d0li+JozpV9D2JJnjZsisvzwrEm4vZdWdDzrn7gfsBpk6d6rrzGZrOZ687+CNe+H/LCBw8gcpPDI8XELz7PxwRWs8Rld9LO5ZMYvOC4us+P8cGii8T2Yotr0ssJD35UpLipwsGJTsSnf3I02mntwKjom6PBHpFTcLMsUMZ2L+AP731z/grmMH4T8GmF2HvntwGJyJ9St6PIHvFiwlKMpVsUpGqqvUeR5ddfrlgULIj0dmPPJ12ehkwzszGANXARcAl3oaUmqKCAJ/8xHD+suZDmltDFMb7/R15Niz9Kaz6HUy95+B4ggAAIABJREFUPJw0i4ikSQmyB3rzBCVKHKU3ilc2A/k57bRzrsXMrgUWA0HgIefcajP7NvCac26RmU0Dfg+UA+eY2becc0d5GHa7M48+iN8vr+aVjTv4l3HDOq8wagYMPgye/r/w4p1QOgwmzYUTr819sCLSa+Xl8InX8qUbhIhfxJbNFAUD9CuwvJ122jn3jHPuCOfcWOfcd9qW3eycW9T28zLn3EjnXKlzbohfkmMI90MuKQpyw5Or+Mnz62lqiSmTCQThyio472cw+l+gZR+8cDvsq/UiXBHppZQge0BtxERyL3qClymHlFFUEOz6QeI7/QuD3PvZ4zh0SAk/+Ms7/ODZOAML/QfBlEthzgNw3k+huR7eeir3wYpIr6UE2QOJuj70tW4QIiI94eQjhvHwFcdzyYxDuO/Fjby0YXvilUdOg2FHwhu/yl2AItLrKUH2QL50gxAR6Un/ffYEDhtayu3PvJ14JTM49gtQ/Rr87vPwzHyo+h4s+zm8vzR3wYpIr6KL9DyQrBuEiIikprgoyNmTDuZnVe/S2NRKcVGCspnJF8OGv8CHq2HjX2Fvzf77Ln4Mxp+Zm4BFpNdQguwRdYMQEcncpJFltIYcq7ftZurowfFXKi6Hz/1+/+3WZqj/GH4zB/74FThkaXgdEZE2KrEQEZFe65iRgwBYsaWmizWjBAvhgBEw+2dQ9xE8cbkmFhGRDpQgi4hIr3XgAf05eFB/Vm7dnf6DR0yBT/8QNlbBg6dDfZKL/UQkryhBFhGRXm3SyEGs3JrGCHK04y6Dzz0F29+Bl+/Kalwi0nspQRYRkV5t0sgy3tvRwO6G5u5t4LBKOOozsOxBaNyVzdBEpJdSgiwiIr3a5FFlALzZ3VFkgJPmQVMdvPpAlqISkd5MCbKIiPRqR404AIC1/8zgQruDjoZxs+DV+6G1JUuRiUhvpQRZRER6tbKSIoYOKGLjx/WZbWjKZ8Pt3zZVZSUuEem9lCCLiEivd9iwAbz7cV1mGxl3BvQbBCsfz05QItJrKUEWEZFeb+ywUt7NdAS5sD9MOBfW/hGaGrITmIj0SkqQRUSk1xs7bAA765vYWd+U2YYm/Vv4Yr1FX2JA7cbsBCcivY4SZBER6fXGDhsAwMZMyywOPQmmXwVr/8jU178KD5wGm17MQoQi0psoQRYRkV5vf4KcYZlFIACf+j7837WsP/w/oGEH/GYOrH06C1GKSG/hSYJsZoPN7C9mtr7t//IE6/3ZzGrM7I+5jlFERHqPivJiigoCmV+oF1FcTvXIc+DKKjhoIvzu8/DR29nZtoj4nlcjyDcAzzvnxgHPt92OZwHwuZxFJSIivVIwYIwZUpq9BDmiuBwueRwChfCPe7O7bRHxLa8S5POAX7b9/EtgdryVnHPPA7W5CkpERHqvsQeWsuGjLCfIAKVDYNKF8OZj0LAz+9sXEd8p8Gi/w51zHwA45z4wswMz2ZiZXQlcCTB8+HCqqqrS3kZdXV23Hpcriq/7/Bwb5Ed8L29r5vX3m2gJwevv7+T2h//CiSMKPYutpqaRlpYQNTU1Pfra+/1329ccM7KMZ1b9k7ueX8+XTjscM8vexqdfBW/8Cpb/GmZel73tiogv9ViCbGbPAQfFueumbO/LOXc/cD/A1KlTXWVlZdrbqKqqojuPyxXF131+jg36fnwLl1fz6+dX0RIK324JwQMrm2goOYjbZk/0JLZ71i1lW+MeysoOoLLyhIxiSMbvv9u+5vKTxrDuw1p++Jd3WPvPPXztjPEc1nbxXsYOOhrGnAx/+wEc+WkYMjY72xURX+qxEgvn3Cedc0fH+fe/wIdmdjBA2/8f9VQcIuKtBYvX0djc2mGZA377ymYWLq/2JijpkwqCAe684BjmnX4EVes+5qwf/40tO7M44ce5PwELwKOXwOrfw5ZXobUle9sXEd/wqgZ5EfCFtp+/APyvR3GISA/bVtMYd7kjnDyLZFMgYHz5X8ex6NqZ7GsJsXj1P7O38fLRcOEvYedGePwyePB0uPNwePKKcBs457K3LxHxlFcJ8h3A6Wa2Hji97TZmNtXMfh5Zycz+BjwO/KuZbbX/396dR1lVnXkf/z53qnmuoooqFAqZBCFMookgJA6oHYcYE03sRJOYwdV22sS42m6z1PWu7jca32iiSTrROGvUNk4k0ahRcYqIzIgyCsgkMxTUPOz3j30KLkUVUw33QP0+a511z933DE+dW7Xrufvus7fZ1JREKyJHrDw/o8PXOkqeRTprUJ8chpbm8PKHG7v2wAMnw3VL4Op34ZIHYMg5sOJV36o895GuPZeIpExKbtJzzm0FzminfBZwVdLzST0Zl4h0veunDuVHT86jvba1AyXPIp111vBSfjt9OduqGyjMSnTdgTML/VI6HE662HezePRieOF6KB/r+yuLyFFNM+mJSLe6aEwFl596PG3HE8iIR7l+6tCUxCS9w9kjSmlx8Nribr7NJRqDi++FtFy4ZzL87xUaDk7kKKcEWUS63X9dNJI7Lx1NRX4GBlTkZ/Czi0dy0ZiKVIcmx7CRFXmU5aZzx8tLuPOVpby9bAtVdY3dc7KcUrjq73DKD+CjP8Obt3fPeUSkR6RqHGQR6WUuGlOhhFh6lJlx+1dGcfery7nrtWU4B4lYhPNOKuPCMRV87oQi0mLRrjthQX+Y+t9QsxVmPQATfwTZnRrmX0RSRAmyiIgcsyYNLmHS4BJ21DTwwboqXv7wU56ds47n5q2nMCvBXZeNYeLg4i4+6XWw4En4+y1w8lVQMhQSWV17DhHpVkqQRUTkmJefmWDi4GImDi7mP887kX+s2MJtLy7higdmcs3nB/HtiZXkZXR+dkcAigfD6K/D3Edh3mNgUSgaBJlFUDwIKifD8Ash2kXnE5EupwRZRER6lfR4lC8MK2VCZRE3PL2AX726jPveXsnkISWcObwP54zoS0aik10vzr8bTv4u7FwDG+bDpo+gdjsset5PWf3Or+ALP4X8/lA8BCK6JUgkTJQgi4hIr5SdFuPXXx/L1VN28vA/VjN96Sb+unADN6Uv4q6vjdlv5JXDEolA+Wi/nHj+3vKWZlj8F/jrT+CPX/Vlecf5FuX8/pBTBjl9IbcvZJeqlVkkRZQgi4hIrzaiPI/bLhmFc473Vm7j5ucXcf1TC7hlQhfewNcqEvXJ8MDP+5blHZ/AB3+C934PLW1H2DDIKg6S5nKfNJ90CVRqigCR7qYEWUREBD/qxakDi7jz0tFc8Ou3ue+DCP1O3MGQ0mwyE1387zI9d2+iO+ZyaGnxo1/s2gC7PoVd6/1jVfC4awOsmQGzH4RRl8K5P+/aeERkH0qQRUREkgwvz+W6s4dy298Wc9Fv3gGgT04a/Ysy+aeRfbnytMquP2kkAtklfuk7qv1tGmvhrTvg7Tvgkxnk9/8OtJyu/ssi3UAJsoiISBtXTzmBPrWryex3Iis272b11ho+3FDFLX/+kFg0wj+f2r/ng4pnwBduhMFnwVNXMnr+TbDitz6pjsQgmoBRX4Vx31bSLNJJSpBFRETaUZQRYcrIvnueNzW38P1HZnPT8x/wlwXrGd+/kB9MOYHstB7+V3rcBLjmfT589v8xPLYGGmp8/+Vdn8Jfr4OZ90LBAD/1dXquf+z7GTjxAiXOIodICbKIiMghiEUj3P31Mfz8b0uYv3YHv5m+nGfmrOU//+lEzjupL5FIp8a9ODyJLDaVTmb4lCl7y5yD+U/4sZer1kP9YqirgvoqaGmCslEwYKIfjzmr2D8WDICykT0Xt8hRQgmyiIjIIcpMxLjlghEAzF69nf98ZiHX/HEuw8qW8/tvjKN/UQpnzDOD0V/zS7KWFj9Sxtu/9GMwN+ze9/XTroUzblbrskgSJcgiIiJHYFz/Al74t0n8ZcF6bp62iK/87l3+cMV4RvXLT3Vo+4pEfN/kUcG4y411ULPFj5ox6wF455ew4jU47hQYfDYMnAyxtNTGLJJiSpBFRESOUDRiXDi6gmFlufzzfe9xwa/fYXjfXC4YXc7UEWX0L8zs2a4XhyKeDnn9/PLFO6HsJFj4NMz7I7x/r7/hL6+fn7ikoL9/LBsJx58K6Xmpjl6kRyhBFhER6aShZTm8dO3pTJu3jufnr+fWFxdz64uLyUmL8eVx/bj2zMHkZyZSHeb+zODkq/zSVA8rXoc178GO1bB9NSx5Eao3J20f9TP8VYyF7D4Qz4RENvQbDyd8wU+EInIMUIIsIiLSBQqzElx5WiVXnlbJ6q3V/GPFVmau3MbD767imTlrufJzA5gyrA+JaIS0WIS0WJRELEJGIkp2WoxoqluaY2kw9By/JKvfDevnwLrZUL/Lz/63fh58MgMaa/wCkNXHz/aXyIZEFsN3VEPV05BV0v4ST4d4lvo+SygpQRYREeli/Yuy6F+UxdcmHM/3Jw/kzleWctdry7nrteXtbh8xKM1NJyc9RjwaoSg7jcqiTMb2L6CyOIuy3HSKstNSk0SnZUPl6X5pT1MDLHnBL3U7oaEaqjeTVb0Zli6H6i3gmjs4di4MOgP6nQyFJwSjaxRCZrEfok4kRZQgi4iIdKNhZbn8/hvjWbmlmlVbq2loaqG+qSV4bKa2oZkdNY2s31lLbUMz9U0tbNldz/+u3MZD767ec5xYxOiTk0a/gkxG9cvDdjaStWobWYkYFQUZ5GXEU/MDxhIw4iK/JHl/+nSmTJniR9Go2+G7alRvht2b/A2CjbWwZQksewUWPbv/cbNKoHgolAxJehwCuRW+a4hIN1KCLCIi0gMqi7OoLD70YeAam1tYunEX67bXsrGqjk+r6tiws47VW2t4eMZqGppauHfhuwDkpMW46fzhnP+ZctJiESxMCWQkErQKF0LJ0P1fd84nzNtWQu02v757E2xdBpuXwgdP+5bpVolsKB7sk+bcckhk+q4aiaA/dOkIKBmmJFo6RQmyiIhICMWjEUaU5zGifP+RIxqaWnj6b9MpHzKS6vomHnxnFdf/aQHX/2kB0YiRmYiSmYiSlxHn5AGFnDKwiGFlOVQWZxGPhqzPr5nvWpFV3P7rzvmEectS3+K8OXhc+Sbs/hRcy/77ZBbtvYEwuwRi6b6PdXo+ZORz/IZtMOOjYJss39UjLQcyCnwSr+S611OCLCIicpRJxCL0zY4weUgJAFNHlPGXBetZt6OWmvpmqhuaqKlvZtOuOp6bu47H3vsEgHjUGFiczZCyHIqyEiRi/obBRDRCIrZ3SYtFGVmRx5DS7NS3RptBTqlfKift+5pz0Nzg+z031vpZA9fMhHWzoLnJP6/e7G8ubKyF2h1Qt4OBTXWwsoPzDfsiXHyPT5yl11KCLCIicpRrHY+5PQ1NLSzftJulG3exZOMuln66i7mfbGdnbSMNTS00NLfgXPvHLc5OIzMRpTQ3jWFluWQmomQkopTmplOam0afnHTyM+MUZCbITER7Ppk28y3DeyY2qYA+J8K4Kw642xuvvcLkU8f5xLqh2s8uWF8Fa2fB9J/B3eN9943CSj9Fd1axHwM6Pd8/5pb7LiNyzFKCLCIicgxLxCIML89leHn7o0I452hqcT5ZDhLm6vom3v14K3M/2UFjcwtrt9fy/Lx1NDS3UNfYTpcGIDstxhdH9eWck8o4rjAT11HWHQIuEt/bLzrZCV+A8rEw+wHf6rzqHVj4VPsH6TMcBkyE/p/zSXR+f4gqrTpW6J0UkV5ny656dtc18d7KbZx262tcP3UoF41pv/VN5FhnZsSjRjwaIStphumBJdlcfkr//bZvCEbZ2FhVx+Zd9eyoaWR7TQPLNu3muXnreOL9NQCMKIpQNqyKkpy0PeM+x6OW+i4bBzP4TL+0qt0edM3YuXfZugxWvQ1zH4WZ9+zdNi0PMgv8MHU5Zb6lOaevfywb5Vu3w/7zC6AEWUR6mefmrmPl1mpa27bW7ajlP55ZCKAkWeQQJGIRyvMzKM/P2O+1m84fzuINu5i3Zjt3vLSYc3/11j6vm0F6LEp6PEJ63HfVmDykxI/3XJRFLGqY+S4jRVkpGve5rYwCv7Q16To/BvTGhbBxEVSt98l0zTbf73nrclj5FtQnjcCRdxwMPhuGTIUBk/zIGxJKSpBFpFe5/aUltLT55re2sZnbX1qiBFmkk3LT40yoLGRCZSHFNatpKhpMXVMz9Y1+zOe6pMe6xmZWbN7NXa8ta7cPdDRi5GXEiUeNkpw0KouzmTioiMribNJiPsEuyIxTkpOWulbpWAIqxvmlIw3VsHMdrH4Hlr0M8x+HWfdBNAEZhX5GwViGH3kjpxQSWQzauB2a3/SjbMQzIZ7hl7RcP8pGVjFE4kqwu5ESZBHpVdbvqD2schE5MoXpEaacfNxBt9tZ08hHn1axZlsNLc7hnB8DemNVPdtrGmhsbmHTrnpmrtzKn+ev32//zESUUf3yGFmRR35mgryMOPmZcfrk7L2RMCMR7Y4f8dAksvwkJyVDYPy3oLHOJ8sr3/Atzo11frrumq2wfi40VFNWuwvWv9DxDIStcvpCQSVk5O97E2F6XpuyXIjEgqS8wJdHUnhNjgJKkEWkVynPz2BdO8lwe18Xi0j3y8uMc+rAIk4dWHTA7ZxzLN+0m0276qlr9K3QW6vr+XhzNbNWb+Ohf6ymobn9Gwhz0mN7Rt4ozUmnqaoBK9/MoD7ZFGTGyYj34Agc8XQ/vfagMzrc5O3p05kyefLeIeya6oJh6rbD5sW+T3RTLWxZDjvXwo41UPeB7x+d3KXjQBI5EI37pDka90sk+XnCJ/etE7AksnxrdloueTsyoWXSMZ1kK0EWkV7l88NKeHTGJ/uUZcSjXD+1nRm+jlFmdg7wKyAK/ME5d2ub19OAh4FxwFbgUufcqp6OUySZmTG4NIfBpTntvu6co76pharaRrbXNLJpVx0bq/zNhJuq6ti0y6+/t3IbG3Y2Mm3FzD37psUiFGQmKMhKUJAZ3/NYmJkgPzNBYVaC/Mw4hVkJCjL9enZarHuT6v2GsAv0G3/g/Vqa/ZB1e24sDB5bmn3CHYwFTV2Vf97cAM2N0NK4d7250SfldTt83+qGamis3pOsjwFYfJtvvS4f7ftTFwzwXUAiUX+D4lE+jrQSZBHpNZ6bu46nZ6/bp8yAL4+r6DX9j80sCvwGOAtYC7xvZtOccx8mbfYdYLtzbpCZXQbcBlza89GKHDozIz0eJT0epU9uOkPL2k+kAf7299fJ7j+Stdtr2F7TyI6aBrZVN7A9GJHjow1VbK9uYEdtY4djRCeiEUZU5DKhspCctBiJWIR4MOFKPBrZ0086KxEjMy1KIigrzUsnNz3eTVcBn6B2dGNhV6jfzaLn72RE5jY/PfjCp2H2g/tvl5brZzBs7WOd/Jie74fYyyjwMxi2tlDnHw+lJ/n+1hYFi/gPCinoY64EWUR6jdtfWkJt4759+hzw+uLNqQkoNSYAy51zHwOY2RPAhUBygnwhcEuw/ifg12ZmLswD24ochvSYMXFwB1NbJ2lucUGLdJA8VzcE6w1s2d3AzJXbuPfNj/e78fdgYhEjFjXikQjRqNE2/WtsbCT+5suHd9Ae1Ng4lnjcJ/kx18RAW0sftpJFHXGa6MM2Cut3kFbfQDoNpO1ZdpPBVnJYSh67yWU3MdrvFpOsBaMFw2E0E8ERSSqLUGW59Lt5cZf+jEqQRaTX0A16AFQAa5KerwVO6Wgb51yTme0EioAtyRuZ2feA7wGUlpYyffr0ww5m9+7dR7RfTwhzbKD4OuNIY4sBJcEyJBM+NwLc8EyaHTS1tC6OxmC9ocVR1wT1zS54DtvqWqhp9K83O0dLO587Gxsd8Xh4P4/uG18U6E8N/akJSva/lbIDzhGnkTRXR0ZLDaXNG6hoXkPUNRHB+ZTYtabB+z6acxgtRGihOZLG8uD97KrfOyXIItJr6AY9gP0aqwDa/ic+lG1wzt0D3AMwfvx4N2XKlMMOZvr06RzJfj0hzLGB4uuMMMcGiq8zuiq2SOdDERE5Olw/dSgZ8X3vuu5tN+jhW4yTx97qx/4NPnu2MbMYkAds65HoRERCICUJspkVmtkrZrYseNyvJ7mZjTazd81skZktMDPdICIinXLRmAp+dvFIKvIzMKAiP4OfXTyy19ygF3gfGGxmlWaWAC4DprXZZhpwRbB+CfCa+h+LSG+Sqi4WNwCvOuduNbMbguf/3mabGuCbzrllZlYOzDazl5xzO3o6WBE5dlw0pveMWNGeoE/xNcBL+M6D9zvnFpnZ/wFmOeemAfcBj5jZcnzL8WWpi1hEpOelKkG+EJgSrD8ETKdNguycW5q0vt7MNuH7xStBFhHpBOfcC8ALbcpuSlqvA77S03GJiIRFqhLkUufcBgDn3AYz63Ogjc1sApAAVnTw+jF9JzUovs4Ic2yg+DojzLFB+OMTEZH2dVuCbGZ/B8raeenGwzxOX+AR4ArnXLuD5R3rd1KD4uuMMMcGiq8zwhwbhD8+ERFpX7clyM65Mzt6zcw2mlnfoPW4L7Cpg+1ygb8CP3XOzeimUEVERERE9kjVMG/Jd0hfATzfdoPg7upngYedc0/1YGwiIiIi0oulKkG+FTjLzJYBZwXPMbPxZvaHYJuvAqcDV5rZvGAZnZpwRURERKS3SMlNes65rcAZ7ZTPAq4K1h8FHu3h0ERERESkl9NMeiIiIiIiSZQgi4iIiIgksWNt9lAz2wysPoJdi4EtXRxOV1J8Ry7MsYHi64wwxwaHHl9/51xJdwfTnY7RujfMsYHi64wwxwaKrzMOJ7YO695jLkE+UmY2yzk3PtVxdETxHbkwxwaKrzPCHBuEP74wCPM1CnNsoPg6I8yxgeLrjK6KTV0sRERERESSKEEWEREREUmiBHmve1IdwEEoviMX5thA8XVGmGOD8McXBmG+RmGODRRfZ4Q5NlB8ndElsakPsoiIiIhIErUgi4iIiIgkUYIsIiIiIpJECTJgZueY2RIzW25mN6Q4luPM7HUz+8jMFpnZvwXlt5jZOjObFyznpTDGVWa2MIhjVlBWaGavmNmy4LEgRbENTbpG88ysysyuTeX1M7P7zWyTmX2QVNbu9TLvruB3cYGZjU1BbLeb2eLg/M+aWX5QPsDMapOu4e+6M7YDxNfhe2lm/xFcuyVmNjUFsT2ZFNcqM5sXlPf4tQu7MNW7QTyhrntV7x52TKGtdw8QXyjq3jDXuweIr+vrXudcr16AKLACGAgkgPnA8BTG0xcYG6znAEuB4cAtwE9Sfb2CuFYBxW3Kfg7cEKzfANwWgjijwKdA/1ReP+B0YCzwwcGuF3Ae8CJgwKnAeymI7WwgFqzflhTbgOTtUnjt2n0vg7+T+UAaUBn8XUd7MrY2r/8CuClV1y7MS9jq3SCmUNe9qncPO47Q1rsHiC8UdW+Y692O4mvzepfUvWpBhgnAcufcx865BuAJ4MJUBeOc2+CcmxOs7wI+AipSFc9huBB4KFh/CLgohbG0OgNY4Zw7ktm9uoxz7k1gW5vijq7XhcDDzpsB5JtZ356MzTn3snOuKXg6A+jXXec/mA6uXUcuBJ5wztU751YCy/F/3z0em5kZ8FXg8e46/1EuVPUuHLV1r+rdDoS53u0ovrDUvWGud6Hn6l4lyL4CXJP0fC0hqRTNbAAwBngvKLom+Orl/lR9lRZwwMtmNtvMvheUlTrnNoD/RwP0SVl0e13Gvn8kYbl+0PH1Ctvv47fxLSutKs1srpm9YWaTUhUU7b+XYbp2k4CNzrllSWVhuXZhEKb3aj8hrXtV73be0VLvQjjr3rDXu9CFda8SZP+VSlspH/vOzLKBp4FrnXNVwP8AJwCjgQ34rxBS5TTn3FjgXOBfzOz0FMbSLjNLABcATwVFYbp+BxKa30czuxFoAh4LijYAxzvnxgA/Bv5oZrkpCK2j9zI01w74GvsmCWG5dmERpvdqHyGue1Xvdp9Q/T6GtO49Gupd6MK6Vwmy/7RzXNLzfsD6FMUCgJnF8RX0Y865ZwCccxudc83OuRbgXrr5K4wDcc6tDx43Ac8GsWxs/UoqeNyUqvgC5wJznHMbIVzXL9DR9QrF76OZXQF8EbjcBR25gq/Qtgbrs/F9zYb0dGwHeC/Dcu1iwMXAk61lYbl2IRKK96qtMNe9qne7RKjrXQhv3Rv2ehe6vu5VggzvA4PNrDL49HsZMC1VwQT9Z+4DPnLO3ZFUntwf6kvAB2337QlmlmVmOa3r+JsKPsBfsyuCza4Ank9FfEn2+RQZluuXpKPrNQ34pnmnAjtbvxLsKWZ2DvDvwAXOuZqk8hIziwbrA4HBwMc9GVtw7o7ey2nAZWaWZmaVQXwzezo+4ExgsXNubWtBWK5diISq3oVw172qd7tMaOtdCHfdexTUu9DVde+R3Nl3rC34O1iX4j9Z3JjiWCbiv55YAMwLlvOAR4CFQfk0oG+K4huIv2N1PrCo9XoBRcCrwLLgsTCF1zAT2ArkJZWl7Prh/2FsABrxn7a/09H1wn9d9Zvgd3EhMD4FsS3H9ylr/f37XbDtl4P3fD4wBzg/Rdeuw/cSuDG4dkuAc3s6tqD8QeAHbbbt8WsX9iVM9W4QT2jrXtW7RxRPaOvdA8QXiro3zPVuR/EF5V1a92qqaRERERGRJOpiISIiIiKSRAmyiIiIiEgSJcgiIiIiIkmUIIuIiIiIJFGCLCIiIiKSRAmyhJaZTTezqW3KrjWz3x7mcV4ws/yDbLO7g/IHzeySwzjXD8zsm4cZ33QzG384+4iIdBUzu9HMFgXTCM8zs1MOc/8rzaz8MPcZYGbdPi7yodT/bbbvkbgk/GKpDkDkAB7HTyDwUlLZZcD1h7JzMPC/OefO64bY2uWc+11PnUtEpLPM7LP4mdvGOufqzawYSBzG/lHgSvzEEamehTbqnGtOLuvJ+l+OLWpBljD7E/BFM0sD/8keKAfeNrNsM3vVzOaY2UIzu7B1GzP7KGi8zkWMAAAFiklEQVRlngMcZ2argkofM3vOzGYHrSXfSz6Zmf0iON6rZlbSNhgzG2dmbwT7v9RmZqHWbW4xs58E69PN7DYzm2lmS81sUlCeYWZPBK01TwIZSfufbWbvBnE8FfyceWa2xMyGBts8bmbf7fzlFRGhL7DFOVcP4Jzb4oJprc3sDDObG9Sx9yfVxavM7CYzexs/e9544LGg9Tmjo7oyKJ9vZu8C/9JeMGb2pJmdl/T8QTP7clC3vxXUjXPM7HPB61PM7HUz+yN+Iou2x1tlZsVJ/xvuDer/l80s40BxmVnUzG43s/eD+vr7QfmXzOzv5vUN6veyTr8TEipKkCW0nJ8/fSZwTlB0GfCk87Pb1AFfcs6NBT4P/CJoMQYYCjzsnBvjnFvd5rDfds6Nw1foPzSzoqA8C5gTHO8N4ObkncwsDtwNXBLsfz/w34fwY8SccxOAa5OOeTVQ45wbFRxjXHCOYuCnwJlBHLOAHzvndgLXAA+a2WVAgXPu3kM4t4jIwbyMb0hYama/NbPJAGaWjp+Z7FLn3Ej8N85XJ+1X55yb6Jx7FF9XXe6cGw000XFd+QDwQ+fcZw8QzxPApUEMCeAM4AVgE3BWUDdeCtyVtM8E/OyCww/ysw4GfuOcGwHswM+ydqC4voOfdvpk4GTgu2ZW6Zx7FvgUn0zfC9zsnPv0IOeWo4y6WEjYtXazeD54/HZQbsD/NbPTgRagAigNXlvtnJvRwfF+aGZfCtaPw1eYW4NjPBmUPwo802a/ocBJwCtBHh7FT3V5MK3HmQ0MCNZPJ6jcnXMLzGxBUH4qMBx4JzhHAng32O4VM/sKfjrUzxzCeUVEDso5t9vMxgGT8I0NT5rZDcBcYKVzbmmw6UP4hPCXwfMn9zuY125daWZ5QL5z7o1gu0eAc9vZ/0XgrqC1+hzgTedcbbD/r81sNNAMDEnaZ6ZzbuUh/LgrnXPzgvXZwICDxHU2MMr23oeSh/+fsRL4V3y3khnOuccP4dxylFGCLGH3HHCHmY0FMpxzc4Lyy4ESYJxzrtHMVgHpwWvV7R3IzKYAZwKfdc7VmNn0pH3aajsHuwGLDtLy0Z764LGZff/e2pvj3YBXnHNf2+8FswhwIlALFOLnnxcR6bSg3+50YLqZLQSuAOYdcKcO6lk6qCvN3yjXXr3XNpa6oG6eim8pbk0+fwRsxDcQRPDfIh4slrbqk9ab8d3b7ABxGfCvzrmX2nmtAt+wUmpmEedcyyHGIEcJdbGQUHPO7cZX3Pezt6IE/0l+U5Acfx7ofwiHywO2B8nxMHyLbasI0NpK8HXg7Tb7LgFKzN/QgpnFzWzE4f48gTfxCT5mdhIwKiifAZxmZoOC1zLNrLWV5EfAR/j+fvcHXT5ERDrFzIaa2eCkotHAamAxvoV1UFD+DXz3s/bsAnKC9XbrSufcDmCnmU0Mtrv8AGE9AXwL36rdmpzmARuCRPQb+JbpTjtIXC8BV7fWt2Y2xMyyzCyG75bxdXy9/OOuiEXCRS3IcjR4HN9V4bKksseAP5vZLHxLx+JDOM7fgB8EXRqW4BPSVtXACDObDewk6APXyjnXEHzNdlfwlVwM/1XjoiP4ef4HeCCIYx6+nzXOuc1mdiXweOvNMMBPg68prwImOOd2mdmb+L7KN+93ZBGRw5MN3B208DYBy4HvBS253wKeChLC94GORul5EPidmdUCn8U3NrRXV34L/wG/hn1HJ2rrZeBhYJpzriEo+y3wdNDV7HUOvdX4UHQU1x/wXePmBPe4bAYuAq4D3nLOvWVm84D3zeyvzrmPujAmSTHz9zuJiIiIiAioi4WIiIiIyD6UIIuIiIiIJFGCLCIiIiKSRAmyiIiIiEgSJcgiIiIiIkmUIIuIiIiIJFGCLCIiIiKS5P8D1teIGECnoiwAAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -1344,42 +1346,6 @@ "plt.tight_layout()" ] }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(10,5))\n", - "plt.subplot(1,2,1)\n", - "plt.stem(coeff_ls, use_line_collection=True)\n", - "plt.xlabel('Variable index')\n", - "plt.ylabel('Coeff')\n", - "plt.grid()\n", - "\n", - "\n", - "plt.subplot(1,2,2)\n", - "coeff_sort_ls = np.flipud(np.sort(np.abs(coeff_ls)))\n", - "plt.plot(coeff_sort_ls)\n", - "plt.xlabel('Sorted var index')\n", - "plt.ylabel('Coeff Mag')\n", - "plt.grid()\n", - "plt.tight_layout()" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -1389,7 +1355,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 79, "metadata": {}, "outputs": [ { @@ -1462,12 +1428,12 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 82, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1481,7 +1447,7 @@ "source": [ "plt.errorbar(np.log10(alphas), rsq_lasso_mean, yerr=rsq_lasso_se)\n", "plt.xlabel('log10(alpha)')\n", - "plt.ylabel('Test MSE')\n", + "plt.ylabel('Test R^2')\n", "plt.grid()\n", "plt.show()" ] @@ -1490,7 +1456,35 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We see that there is an alpha value that maximizes the R^2. Below this value we overfit and above this we overfit. The code below selects the alpha using the normal rule (maximum mean test R^2) and then retrain on the model and plots the coefficients." + "We see that there is an alpha value that maximizes the R^2. Below this value we overfit and above this we overfit. The code below selects the alpha using the normal rule (maximum mean test R^2)." + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alpha optimal (normal rule) = 5.2233e-03\n", + "Mean test R^2 (normal rule) = 0.910\n" + ] + } + ], + "source": [ + "im = np.argmax(rsq_lasso_mean)\n", + "alpha_normal = alphas[im]\n", + "print('Alpha optimal (normal rule) = %12.4e' % alpha_normal)\n", + "print('Mean test R^2 (normal rule) = %7.3f' % rsq_lasso_mean[im])\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can then retrain the model at this value of alpha and plots the coefficients. In comparison to Ridge regression with minimal regularization, we have many coefficients that are zero." ] }, { @@ -1512,9 +1506,6 @@ } ], "source": [ - "im = np.argmax(rsq_lasso_mean)\n", - "alpha_normal = alphas[im]\n", - "\n", "# Fit on the entire data\n", "reg = Lasso(alpha=alpha_normal)\n", "reg.fit(Xtr1, ytr1)\n", @@ -1550,19 +1541,54 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 83, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Optimal alpha = 0.007017\n" + "Alpha optimal (one SE rule) = 9.4267e-03\n", + "Mean test R^2 (one SE rule) = 0.905\n" + ] + } + ], + "source": [ + "# Target R^2\n", + "im = np.argmax(rsq_lasso_mean)\n", + "rsq_tgt = rsq_lasso_mean[im] - rsq_lasso_se[im]\n", + "\n", + "# Find the least complex model with R^2 > rsq_tgt\n", + "I = np.where(rsq_lasso_mean >= rsq_tgt)[0]\n", + "iopt = I[-1]\n", + "alpha_onese = alphas[iopt]\n", + "\n", + "print('Alpha optimal (one SE rule) = %12.4e' % alpha_onese)\n", + "print('Mean test R^2 (one SE rule) = %7.3f' % rsq_lasso_mean[iopt])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now plot the coefficients for the one SE rule. We see that the coefficients are slightly more sparse than the normal rule. " + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimal alpha = 0.009427\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1574,15 +1600,7 @@ } ], "source": [ - "# Target R^2\n", - "im = np.argmax(rsq_lasso_mean)\n", - "rsq_tgt = rsq_lasso_mean[im] - rsq_lasso_se[im]\n", - "\n", - "# Find the least complex model with R^2 > rsq_tgt\n", - "I = np.where(rsq_lasso_mean >= rsq_tgt)[0]\n", - "iopt = I[-1]\n", "\n", - "alpha_onese = alphas[iopt]\n", "\n", "\n", "# Fit on the entire data\n",