From 398fa8f8d16719950956cd2871cf657fcc31f0f1 Mon Sep 17 00:00:00 2001 From: Tiago Mateus Date: Mon, 27 Nov 2023 17:12:42 +0000 Subject: [PATCH] lab done --- your-code/boston_data.csv | 405 ++++++++++++++++++++ your-code/lab_boston_housing.ipynb | 582 +++++++++++++++++++++++++++-- your-code/lab_overfitting.ipynb | 115 ++++-- 3 files changed, 1048 insertions(+), 54 deletions(-) create mode 100644 your-code/boston_data.csv diff --git a/your-code/boston_data.csv b/your-code/boston_data.csv new file mode 100644 index 0000000..996fc2f --- /dev/null +++ b/your-code/boston_data.csv @@ -0,0 +1,405 @@ +crim,zn,indus,chas,nox,rm,age,dis,rad,tax,ptratio,black,lstat,medv +0.15876,0.0,10.81,0.0,0.413,5.961,17.5,5.2873,4.0,305.0,19.2,376.94,9.88,21.7 +0.10328,25.0,5.13,0.0,0.453,5.927,47.2,6.932,8.0,284.0,19.7,396.9,9.22,19.6 +0.3494,0.0,9.9,0.0,0.544,5.972,76.7,3.1025,4.0,304.0,18.4,396.24,9.97,20.3 +2.73397,0.0,19.58,0.0,0.871,5.597,94.9,1.5257,5.0,403.0,14.7,351.85,21.45,15.4 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"metadata": {}, "outputs": [], "source": [ - "# Your code here" + "boston.drop('rad', axis = 1, inplace = True)" ] }, { @@ -51,11 +230,142 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 41, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/javascript": [ + "\n", + " if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('import pandas as pd\\nfrom sklearn.model_selection import train_test_split\\nimport numpy as np'); }\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "\n", + " if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('import pandas as pd\\nfrom sklearn.model_selection import train_test_split\\nimport numpy as np'); }\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "\n", + "x = pd.DataFrame(boston['medv'])\n", + "y = pd.DataFrame(boston['rm'])\n", + "\n", + "mod = LinearRegression()\n", + "mod.fit(x,y)\n", + "\n", + "slope = mod.coef_\n", + "interception = mod.intercept_\n", + "\n", + "reg_line = interception + slope*x\n", + "plt.plot(x, reg_line, c=\"orange\")\n", + "plt.scatter(x,y)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": [ + "\n", + " if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('import pandas as pd\\nfrom sklearn.model_selection import train_test_split\\nimport numpy as np'); }\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "\n", + " if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('import pandas as pd\\nfrom sklearn.model_selection import train_test_split\\nimport numpy as np'); }\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# Your plots here" + "x = pd.DataFrame(boston['medv'])\n", + "y = pd.DataFrame(boston['lstat'])\n", + "\n", + "mod = LinearRegression()\n", + "mod.fit(x,y)\n", + "\n", + "slope = mod.coef_\n", + "interception = mod.intercept_\n", + "\n", + "reg_line = interception + slope*x\n", + "plt.plot(x, reg_line, c=\"orange\")\n", + "plt.scatter(x,y)" ] }, { @@ -67,11 +377,12 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 43, "metadata": {}, "outputs": [], "source": [ - "# Your response here" + "# wasn't expecting to see anti correlation between lstat and the house prices, but they're still correlated somehow\n", + "# correlation was expected for both" ] }, { @@ -83,11 +394,99 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": [ + "\n", + " if 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FW9QEYhGM61RCfLbbnOKvP4WJ48f3pXUvroHjkx2ocWwhTJur36a0lUAsgmHtSki68USlPPHmExh9Yruodm49arnvRuXDS2DcrPZH6xq3qAO9SqWR/ODLHSFCRET0pfjsWwA8PDygp6eXo3zy5MlwcnLK0zokEgkkEtUTZ3XrzA+huSkEIiHkMfEq5fKYeAitLdQuI4uKReSCDZC8eA2BrhgmPdqj1K6VCBkxW+28AXq1q0GvagVE/rBeIzEXFmMLEwhFQiRGxauUJ0XFw9TaPE/r6DDWGbqGevD4605W2csbT+E0pjteP3iJqIAIVG9RG/U6NIJARztPbgBAYGgCgVAIRXK8SrkiOQECE/NPL29iAWG1BpAc+fj/uW4XFygSYiH39SxAtJpjbW0JkUiEyAjVoboRkdGws7dVu4ydvS0iIlXrR0ZEQywWw9raEuHhkWjezBGuIwfDsVGHXN97wIAeqF+/Fpo261bwhhQSgakZBEIhMhPiVMozE+IgMle/v9CxdYCoWm0gIwMpaxZAYGIGw9HTITA2Rdqvq97VKQWdmvbIuHUJKSvnQcehNAxGTQOEQkhO7Cv0dn0uEwtTCEVCxEfHq5QnRCfA3MY8T+voMa4X9A31cOfsrayy6o5fw2lgB8zoMk2D0RY9kaUJBCIhpFEJKuXSqHjo5tI/GZFx8J21FSmefhDoimHbrw1q/r4QL/ouROI97bwdJjuhpfL7VJZtu5BFxUNso/7zIY2MQ+B3m5H6TNluyz7foPLhJXg9YL7KvAE6Joao9WAXdHTFUMgzEfT9r0jKlqwmIiLShC9r7F3h++wEwMdO1KtVy9tV5RUrVmDx4sUqZQsXLsSwzw3mYxTZhmAIBMhtVIbUPxhS/+Csv9OfvoLI3gYWrv0QpiYBYNq3EyQ+byF55q3JiIuOQIBcO+MDjXq0QPfp/bFl7CokfXD/5tHFu+GycjwWX/4ZCoUCUQERuPP7VTTv37YQg9aQ7NtFbmXZiBq2BdJTIHuR+8R54ja9IK7XEmm/LQBk0lzrFQdFtjYKBIIcZR+v/77c2NgIe/ZswoSJsxETE6dmaeCrr0ph3dol6NptSI5kn1bKsb9A7h+Rd5+flE3LgLQUAEDa/i0wdFuEtJ0bAGkGIBBAkRiHtG1rAUUm5G99oGNhDT3ngVqZAPhXjm1CkKePB1r2aI2B0wdj5ZhlSIhRniTrGxlg2oYZ2DJ3M5LitGNETEHl7B9BrptJul8o0v3ez7GR7OED3VLWKDWhxxeTAPiXunbntmFI3oRA8ub9JIepj7yhW8oaduN7480HCYDM5DR4dZ4OoZEBTFrUQekfRiEjMALJ99RP1ktERESaka9JAI8fP45jx44hMDAQGRkZKq89evTok8vPmzcPM2bMUCnT09ND0DH199x+Dnl8IhQyeY6r/UJLM8hzOVlRJ93TCybdc84AL9DXg3GXbxC7SXsP4v+VHJcEuUwO02xXqEyszZAYnaB+oXccuzfH8J8m4rdJ6+B1W3U29OTYRGwdtxoiPTGMzU0QHxGLPnOHIjpI/YRp2kCRmgSFXA6Biep2ITA2gyL5430BAOJG7SB9dB2Qy9S/3rondNv2Rdr2RcgMD9BIzJoQHR0LmUwGO3sblXJbGytERqi/lSEiPBL2dqr1bWytIZVKERMTh5o1q6FChbL48489Wa/rvBv9kZYagJq1WqNWreqws7PB/XvvZ8UXiURo1aopJk0aCSPjCsjUgnuhFYkJUMjl0DG3hPyDch1TCygS1O8vFPGxyIyNzjr5BwB5SAAEOjrQsbJBZniIso5cBigyVeroWFgBQlGu21FxSYpLhFwmh0W2q7pmVmZIyHb1N7sW3Vti8qopWDPpJ3jefn8F176cPezK2OF/O3/IKhPoKDNJv/v9gW/bTvxi5gSQxSZBIZND19ZcpVxsbaa8rz+Pkh75wKZva80GV4jkscrv0+xX+0XWZpB+Yrv4UMojH1j2bqNaqFAgI0D5/5/28i30KpeB3eR+TAAQEZHGfSn35heVzx6zvXHjRri6usLW1haPHz9G48aNYWVlhTdv3qBLl49PCvQvPT09mJqaqvxo6hYASGWQvHwNw+YNVIoNmzdA+pO8X3XRq14Jsqics7gbd24Nga4YSWcuFzjUwiaXyhD4/A2+bqk6Id3XLevAzyP30QuNerTAiDWTsWPaz3h+NfeEjkwiRXxELHREQtTv3BRPLz7UWOwaJ5chM8QPoiqqczuIqtSFPED9IxH/JaxYEzrWpSB7qP7/XNy6J3Tb90Parh+RGaJdk7xJpVI8euQJp/aqJx3tnVrj7j13tcvcu++B9k6q9Ts4tYGHhydkMhm8vHxRr347ODbqmPVz5uwFXLt2B46NOiIoKBRXrtzKUcfd/QkOH/4Djo06asXJPwBALoP8jQ9EdVTnQxDVaQiZj/oTEZn3c+WJvJ5+VpmOQxkoMuXIjInKqiO0K/1+6MS7Opmx0Vp38g8AMqkMfs98UbdVPZXyuq3qwcsj989Hyx6t8e3aaVg/dQ08rqhuTyF+wZje4VvM7DIt6+fhxQd4fvcZZnaZhpiw3GeQ1zYKqQzJnn4wb626/zBvXQdJ7nkfCWZcqwKkEXlPRBc3hVSG1Gd+MGml2m6TVvWQ8pHtIjuDWhUhjfx4uwUCQKCbr2sSRERE9Bk++9t2y5Yt2LZtGwYPHoy9e/dizpw5qFixIhYsWIDYWO147Fn8npOw+2k20l/4IP3JK5j17wqRgy0Sjv4FALByc4XQ1hqR81YDAMxcekMWGo4M3wAIxGKYOLeDcadWCJua8xnOpn07I+XyHWQmfBlDWi/tOAvXdVMQ4OmHN4980GqIEyxLWePGwQsAgF5zhsDczhJ7Zm4GoDz5d137LY4u3o23j19njR7ISM9AepLykU7l61WGhZ0lgl76w9zeEs7TB0CgI8A/v50qljbmlfTmGegNnAp5sC/kgd4QN+4Igbk1pPeUfaHbeSgEplaQHNuospyoUXvIA32QGZFzpntxm17Q7TgY6YfXQxEbCYGxOQBAkZEOZKQXepvyYsPP27Fn98/w8HiKe/c9MGb0MJQtUxrbtu0HACxdOhelSznAdZTyPu1t2/Zj0kRXrF61EDt3HUTTJg3h6joIw1wmA1DO4fHihepJT0K88haRf8ulUmmOOikpqYiJictRXtwkf/0Ow2/nQe7nDdnrF9Bt3x061naQXDwDANAfPAY6ljZI/WUFACDj1iXo93GB4aTvkH5sDwSmZjAYOh4ZV/9WDv8HILl4Cnqde8Ng5LeQnP8DOvZfQb/XEEjOnyy2dn7KmR2nMHW9G3w9feH9yAsdB3eCdSkbXDioHMUxdM5wWNlbYuOMDQCUJ/9T103HrsXb4fPYO2uugIz0DKQmpUIqkSLQR/Uzk5KoHDWRvfxLEPrbGVTZNBXJT/2Q5OENu2EdoFfaGhH7lPuPsv8bCl17S/hO3QQAcBjbDZKgKKR6B0EgFsGmX2tYdW8Gr9GrirMZny1yxymUWz8dqZ6+SHnkDeshnaBbyhrRB84DABy+c4GuvRUC3DYAAGxGOyMjKBLpPoEQ6Ipg0fsbWHRtjjfjVmSt025yX6R6+kISEA6BWATTtg1h2bctgub/WgwtJCKi/zotueykNT47ARAYGIjmzZsDAAwMDJCUpDwRdnFxQdOmTbF582bNRpgPyeevQ8fcBJYTh0JkYwnJ6wCEjv8eslDlEHWhtSXEDu+HOAvEIljNHgeRrRUUkgxk+AYgdML3SL2hekVbXK40DBrWQsjoeUXanoJwP3sHRubG6DatH8xsLBDqE4TNrssR++651Wa2FrAsbZ1Vv9WQDhCKRRiydCyGLB2bVX7n+DXsnfULAECsp4seswbDpqwtJCnpeHb1MXa5bUJaYiq0mczzNmBoAt32AyAwtUBmeCDSdi/LmtVfYGIBHXNr1YX0DSGq1QySMzvVrlPctDMEIjEMXOaolGdcPIqMS0cLpR2f6/ffT8PK0gLz57vBwcEWL154w7mHCwIDlffpOtjboUyZUln1/f2D4NzDBWvXLMLEiSMQGhoBN7cF+OOPc8XVhEIlvXsVaSam0O87HAILS8iD/JG8ci4U0REAAB1zK+hYfTBhoiQdyctmwcB1KkxW/ApFUiIy7l1D+pH324giJgrJy2bDYMRkmKzaiczYKEj+PgnJqcNF3bw8u332FkwsTDBg6kBY2Foi0CcAy0YuQVSI8vNhYWsB61Lv95sdh3SCSCzCuKUTMW7pxKzyK79fxuZZPxd5/IUt5vQdiC1M8NWM/tC1tUCqdyBeDVsOSbCyf3RtLaD3wb5UIBah3ILh0LW3RGZ6BtJ8gvBy6DLEX/n0bXLaJP7MLYjMTWA/bSDEtpZI9wmA34glkL7bLsS2FhCXUm136e9dIX7X7nSfQPiNWILEq++fzKNjoI+vlk6AroOVso5vCPynr0f8mVs53p+IiIg0S6D42ExgalSsWBHHjx9HgwYN0KhRI4wZMwbjx4/HhQsXMGjQoAKNAvCt8fHnKZcElV/+g/Hl+xd3GFrhN//fkfxdn+IOQysY/3QSYt3SxR2GVpBmhCB+4Bcw4WQRMD96FX3KFXzulC/dyYDTuOPQt7jD0ArNw07gcdmexR2GVqgfqN2j0oiIqGi4lCu684n9Ado72vNfnz0HQLt27XDmjHJo7OjRo+Hm5oYOHTpg4MCB6N27t8YDJCIiIiIiIqKC++xbAObPn4/SpZVXIidMmABLS0vcunULzs7OeZ4EkIiIiIiIiKiw8RkAqj47AVC5cmWEhYXB1lZ5T+yAAQMwYMAAxMTEwNbWFnK5/BNrICIiIiIiIqKi9tkJgNymDEhOToa+vr7a14iIiIiIiIiKWibHAKjIcwJgxowZAACBQIAFCxbA0NAw6zW5XI779++jXr16Gg+QiIiIiIiIiAouzwmAx48fA1COAHj27Bl0dXWzXtPV1UXdunUxa9YszUdIRERERERERAWW5wTA1atXAQCurq74+eefYWpqWmhBERERERERERWUgrcAqPjsOQB2795dGHEQERERERERUSH67AQAERERERER0Zcgs7gD0DI6xR0AERERERERERU+jgAgIiIiIiKi/yQ+BlAVRwAQERERERERlQAcAUBERERERET/SXwKgCqOACAiIiIiIiIqATgCgIiIiIiIiP6T+BQAVRwBQERERERERFQCcAQAERERERER/ScpFJwD4EMcAUBERERERERUAnAEABEREREREf0nZfIpACo4AoCIiIiIiIioBOAIACIiIiIiIvpP4lMAVHEEABEREREREVEJwBEARERERERE9J+k4BwAKjgCgIiIiIiIiKgEYAKAiIiIiIiIqATgLQBERERERET0n8THAKriCAAiIiIiIiKiEkCgUCiYEiEiIiIiIqL/nC5luhTZe/0d9HeRvVd+adUtAOPL9y/uEIrdb/6/Y1W5YcUdhlaYE3AAP5YbWtxhaIUfAg6ionX94g5DK7yJfgxHh1bFHYZWcA+7iTnlBxd3GMVulf9hOJftXtxhaIUzgWfR/quOxR2GVrgcfAF/2fHzAQDdIg4XdwhERKQltCoBQERERERERKQpmcUdgJbhHABEREREREREJQBHABAREREREdF/koJPAVDBEQBEREREREREJQBHABAREREREdF/UiZHAKjgCAAiIiIiIiKiEoAJACIiIiIiIvpPUigURfaTH1u2bEGFChWgr6+Phg0b4ubNm7nWPXnyJDp06AAbGxuYmpqiWbNm+Oeffz7r/ZgAICIiIiIiIipiR48exfTp0zF//nw8fvwYrVq1QpcuXRAYGKi2/o0bN9ChQwecO3cOHh4eaNu2LZydnfH48eM8vyfnACAiIiIiIqL/JG2eA2DdunUYPXo0xowZAwDYsGED/vnnH2zduhUrVqzIUX/Dhg0qfy9fvhynTp3CmTNnUL9+/Ty9J0cAEBERERERERWQRCJBYmKiyo9EIlFbNyMjAx4eHujYsaNKeceOHXHnzp08vV9mZiaSkpJgaWmZ5xiZACAiIiIiIqL/JEUR/luxYgXMzMxUftRdyQeA6OhoyOVy2NnZqZTb2dkhPDw8T21bu3YtUlJSMGDAgDz3B28BICIiIiIiIiqgefPmYcaMGSplenp6H11GIBCo/K1QKHKUqXP48GEsWrQIp06dgq2tbZ5jZAKAiIiIiIiI/pMy8zk7f37o6el98oT/X9bW1hAKhTmu9kdGRuYYFZDd0aNHMXr0aPz+++9wcnL6rBjzfQuAn58fpkyZAicnJ3To0AFTp06Fn59ffldHREREREREVCLo6uqiYcOGuHjxokr5xYsX0bx581yXO3z4MEaOHIlDhw6hW7dun/2++UoA/PPPP6hRowYePHiAOnXqoFatWrh//z5q1qyZowFERERERERExUFRhD+fa8aMGdixYwd27dqFV69ewc3NDYGBgZgwYQIA5S0Fw4cPz6p/+PBhDB8+HGvXrkXTpk0RHh6O8PBwJCQk5Pk983ULwNy5c+Hm5oaVK1fmKP/uu+/QoUOH/KyWiIiIiIiIqEQYOHAgYmJisGTJEoSFhaFWrVo4d+4cypUrBwAICwtDYGBgVv3ffvsNMpkMkydPxuTJk7PKR4wYgT179uTpPfOVAHj16hWOHTuWo3zUqFE5nk1IRERERERERDlNmjQJkyZNUvta9pP6a9euFfj98nULgI2NDZ48eZKj/MmTJ581AyERERERERFRYcmEosh+vgT5GgEwduxYjBs3Dm/evEHz5s0hEAhw69Yt/PTTT5g5c6amYyQiIiIiIiKiAspXAuCHH36AiYkJ1q5di3nz5gEASpUqhUWLFmHq1KkaDZCIiIiIiIgoP76UK/NFJV8JAIFAADc3N7i5uSEpKQkAYGJiotHAiIiIiIiIiEhz8pUA+BBP/ImIiIiIiEgbKRQcAfChPCcAGjRogMuXL8PCwgL169eHQCDIte6jR480EhwRERERERERaUaeEwA9e/aEnp5e1u8fSwAQERERERERFTfOAaAqzwmAhQsXZv2+aNGiwoiFiIiIiIiIiAqJTn4WqlixImJiYnKUx8fHo2LFigUOioiIiIiIiKigFEX470uQr0kA/f39IZfLc5RLJBIEBwcXOChNaDOsIzqO7wkzW3OE+gTj2JLd8H3opbZu/U6N0XpYJ5SpUR4iXRHCXgfjzIZjeHnjaVYdHZEQXSb1RrO+bWBub4nwN6H4Y+VBvLj+pIhalH/1XJzQeHxXGNuYI/p1CK4sPoDgh95q65Z2rIo28wbBqpIDRAZ6SAyOxtNDV+C+83xWnUFH5qNss69zLOt35QlOuK4ptHZoQkMXJzQb3w0mNuaIeh2CfxbvR1AufVHGsSrazxsMq0oOEBvoISE4Go8OXcb9D/oCAPRMDdF29gBU7+wIA1MjxAdH4eLSg/C9+lTterXFMNf+GPvtCNjaWcPH2w9L56/Bw3uP1da1sbPG/CUzUKvu1yhfsSz2bjuMH79X/b8e6NIbfQZ0R9WvKwMAnj99hdVLN8Hz8YtCb0tB9RvRCy6TBsPa1gpvfPyxdsFGPLnvqbaula0V3BZOxtd1qqFMxa9wZOdxrFuwSaXObyc2omHz+jmWvXXpLqa7zCmUNmhCs2Ed0GZ8d5jYmiPCJxinl+yDfy6fj/KO1dB17mDYVCoFXQM9xIVE4f6hy7i58++sOo0HtUPDPq1gV+0rAEDIs7c4v/oogp76FUl7CqKrS1f0Gd8HFraWCHwdiO2Lt+PlA/XbcrPOzdDFpSsq1qgIsa4YgT6BOLT+EB7feKRSp/+3A+BQzgEisQihb0Px5/Y/cPXk1aJqUr71GO6MARP6w8rWEv4+AdiyaCuePXiutm7LLi3Qw8UZlWoq+yLAJwB71+2H+3WPrDrlqpbDyFnDUbV2FdiXsccvC7fi5M4/iqo5BVJuZAdUnNwderbmSPYOxosf9iHuvvrPyIcsGlVF0z8XIMkrCLfaz8sqb3ryB1i1qJGjfuTFx3g4bJVGYyciIgI+MwFw+vTprN//+ecfmJmZZf0tl8tx+fJlVKhQQXPR5ZNj9+YYsMAVh37YDj93b7Qe2gFT9szHog5uiAuNzlG/SpMaeHXrKf5cfQhpiSlo3r8tJu+Yi5W95yHohT8AoNesQWjcqzUOzP0V4X4hqNGmHib8Nhur+s7PqqONqndvgvYLhuHiD3sQ7O6DekPaod/e2djp9B2SQnOO4pCmSfB470VEvgqENE2CrxpVQ8flrpCmSvD0sPJA9c/xGyDUfb/p6Jsbw/X8cnj/db/I2pUfNbo3RacFLjj3w24Eu/ugwZB2GLJ3DrY6zUFiLn3xcO8FRL4KREaaBGUbVUPX5aOQkSrB43d9oSMWYtiBuUiJScTxiRuRFBYLUwdLZKSkF3XzPku3Xh3x/bLZWDBnBTzuP8GQEX2x68hmdGrRF6Eh4Tnq6+qKERMdh1/W7cSoCUPVrrNpC0ecOXkeHg+fQpKegfFTRmDf8a3o1KIvIsKjCrtJ+dahRzvMXDIVK+etw9OHz9DHpQc2HlyN/m1cEBESmaO+rq4YcbHx2LVxH4aMHaB2nbNHz4dYLM7628zCFIcu78alM9p7sle3e1M4LxiOP3/YBX93bzQZ6oTRe+ZibYdZiFfz+chIk+DOvgsIexWIjLR0lHesjr7LRyMjVYL7h68AACo1/RpPTt+B/yMfyCRSfDPeGWP2z8PaDrORGBFX1E3Ms5bOrTBm4Vj8+v1WvHR/ic5Du2DR3kWY3H4SokJzbss1m9TCk5tPsP+nfUhOTIHTACf8sOsHzOo5E29evAEAJMUn49imYwj2C4JMKkOj9o0xbc10xEcnqCQKtM03zm0wadEEbJy/Cc8fvkD3Yd2wYv8yjGo7BpFq+qJOk9rwuOmBnT/tQnJiMjoP6ISlu5fgW+ep8H2hTPzoG+ghLDAcN87exMSF44u6Sfnm0LMpavw4HM/n7kLcA2+UHe6Exofn4nqrWUgPyfkZ+ZfIxAB1N09CzM3n0LUxU3nNY9Q66Ijff5+KLU3Q6spKhJ25V2jtICIqafgUAFWflQDo1asXAEAgEGDEiBEqr4nFYpQvXx5r167VWHD55TSmO24fu4LbR5UHoceW7EGN1nXRZlhH/LnqUI76x5bsUfn7z9WHUbdDI9Rp75h1ct+kd2v8vfkknl9TXiG9ceACarauiw5jnLHLbRO0leOYLvA8eg2eR64BAK4sOYAKbWqj/rD2uLHqWI76kS8CEPkiIOvvl8HRqNrZEV81rpaVAEhPSFFZprpzU0jTMuD914PCa4gGNB3TBY+PXsOTd31xYckBVGpTB47DnHBl1dEc9cNfBCD8g754FhyN6p0boWzj6lkJgHoDvoG+uTF291mMTJlyVExCSM4kk7YZPXEYfj/4J44dUF51+/H7NWjVrhmGuvbH6qU5t+eQoDD8OH81AKD/0J5q1+k2Yb7K3/PcfkTnHk5o3roJ/jh2VsMt0Jyh4wfi1OG/cOqQMsZ1Czah2TeN0W9Eb/yy/Lcc9cOCw7H2h40AgB6DuqldZ2J8ksrfHXu1R3qaRKsTAK3GdMPDY1fx4KgyxjNL9qFq6zpoOqwDzq86kqN+6At/hH6Q/IwLvoVanRuhfKPqWQmAw9N/UVnm+NxtqN2lMSq3qIVHJ28WXmMKqNeYXrh49CIuHLkAANixeDsatG6ALi5dse+nvTnq71i8XeXv/av2oWnHJmjs1DgrAfD83jOVOmd2nUb7vu1Qo1ENrU4A9BvXF38fOY9zh5Ujn7Ys+hWObRzhPNwZO1fuylF/y6JfVf7e+dNuNO/YDM06NM1KAHg/9YH3Ux8AwJh5owq5BZpTYUI3BB26iqCDys/Iyx/2weabOig3sgO8l+X8jPyr9poxCD15Gwp5Juy6OKq8Jo1X/T516N0c8jQJws5od0KdiIi+XJ81B0BmZiYyMzNRtmxZREZGZv2dmZkJiUQCb29vdO/evbBizROhWISytSri5U3V4dcvb3qiUsNqeVqHQCCAvpEBUuKTs8pEumJIJVKVehnpGajUqHrBgy4kOmIh7GtXgP9N1aGab288R+mGVfK0Dtua5VCqQRUE3Vd/+wQA1Bn4DbzO3IU0TVKgeAuTjlgIh9oV8Oam6kG4341n+CqPfWFfsxy+alAFAfdfZZVV7dAAIY9eo8uPI+HmvgXjL6xEi8k9INDR3qdkiMUi1Kr7NW5evatSfvPqPTRoXFdj72NgqA+xSISE+ASNrVPTRGIRqtepinvXVZNX964/RB3HWhp7n56Du+HCqctIT9POkSFCsRCla1WAz03V2x5e3/RE+YZV87SOUjXLo3zDqnj7wecjO10DPQjFIqR9sG/VNiKxCJVrV8bjG6q3wzy++RhfN8zb/l4gEMDAyABJH2lnnRZ1UbrSV3iRy1B6bSASi1C1dhW4Z0tQeNzwQE3HnMPW1REIBDAwNsyRFPvSCMRCmNWpgKhrqp+RqOuesHDM/TPy1aA2MCxnh9drTuTpfcoM+QZhf96FPFV7v0+JiL40mVAU2c+XIF9zALx9+1bTcWiMsYUJhCIhEqPiVcqTouJham2ep3V0GOsMXUM9ePx1J6vs5Y2ncBrTHa8fvERUQASqt6iNeh0aQaCTr3kUi4ShhQl0REKkRKuegKVGJ8DIxvyjy068txEGlsrlb284mTWCIDv7uhVhU70M/p6zXe3r2iK3vkiJToBxtiGZ2U27twmG7/rixoYTWSMIAMCijC3Mm9XAs1N3cHjkKlhVsEfnH0dCRyjEzY3aeU+rhZUFRCIRoqNiVcpjomJgY2ulsfeZ88NUhIdF4tZ17b2SZW5pBpFIhNgo1eHosVFxsLax1Mh71Kz3NSp/XQk/zvhJI+srDEYWphCKhEiOUv18JEUlwMT645+P/93dDGNLU+iIhLi44XjWCAJ1unw3GAnhsXh9W3tPek0tlX0RH626TcRHxcHcpkGe1tFrXG/oGerj1lnVUQ6GJobY82AvxLpiZMozsfX7rXhy84mmQtc4s3d9EZft8xEXFQdLG4s8raP/+H4wMNTH9TM3CiPEIqP7bhvPyPYZkUQlQM9W/WfEsII9qn8/GHd7LIJCnvnJ9zCrXwmmX5eFp9s2jcRMRESkTr4SAACQkpKC69evIzAwEBkZGSqvTZ069aPLSiQSSCSq2W09Pb38hpI3AgGQh6xMox4t0H16f2wZuwpJMYlZ5UcX74bLyvFYfPlnKBQKRAVE4M7vV9G8f9tCDFpDst/3Ivj0vTCH+v8IsaEeStWvjDZzByLePwKvTt/NUa/OwG8Q5RWE8KdvNBlxocneboFAkKN7stvbfwl0DfVRun5ltJs7ELH+EXjxri8EOgKkxCTir7k7oMhUIPy5P4ztLNBsfDetTQD8K8c2IBBo7B6pcVNGwLlPZwzpORYZkoxPL1DMcm4X0NhMrj2HdIPvKz+8eJL7lXFtkb3FAoHgk/2wtf9i6Bnpo2z9Kujy3SDEBETgyek7Oeq1Ge+Mej2a49dBP0KWbTSVNsr58RDkLFSjdY/WGOI2BEvH/IiEGNWTxbTkNEzrPBX6Rvqo26IeRv8wGuGB4TluD9A6avcVn16sbc9vMHyGCxaMWoj4mPhCCa2oqfuMqO0MHQHqb/0WPquOI+VNznlV1Ckz5BskvgpEwmPtnySTiOhLwjkAVOUrAfD48WN07doVqampSElJgaWlJaKjo2FoaAhbW9tPJgBWrFiBxYsXq5QtXLgwP6HkkByXBLlMDtNsV7hNrM2QGP3xociO3Ztj+E8T8dukdfC6rXpAlhybiK3jVkOkJ4axuQniI2LRZ+5QRAflnCRMW6TGJSFTJs9xtd/Qygypn+iLhCDl5E7R3sEwsjFDi+l9ciQARPq6+Nq5KW6ty9vQxuL0b18Y5+gL0xyjArKLf9cXkd5BMLIxQ5vpfbISAMmR8ZDL5FBkvt+xRPuGwsTWAjpiITKlOZ+WUdziYuIgk8lyXO23srbMMSogP8ZMdsGk6aPh0ncCvF6+LvD6ClN8bAJkMhmsbFWv9ltYWyAm21XP/NAz0EPHnu3x6+qdBV5XYUqJS4RcJodJttEwxtamSI5OzGUppbhg5ecj3DsIxtZm6DCtb44EQOux3dBuck9sH7oc4V6Bmg1ewxJjlX1hke0Kt5m1OeKj4z+6bEvnVpi6eipWTlyJp7dyPgVEoVAgLCAMAPD25VuUqfwV+k/ur7UJgIR/+yLH58MccdEf/3x849wGs9bMwJLxS/Holvqni3xJMmITkSmTQy/bZ0TX2hSSqJyfEZGxAczrV4Jp7fKouWIkAGXCWKCjgy4hB/Bg4ArE3Hr/VAkdA12U6tUcPqt+L9R2EBER5Wv8upubG5ydnREbGwsDAwPcu3cPAQEBaNiwIdas+fRj4ObNm4eEhASVn3nz5n1yubyQS2UIfP4GX7eso1L+dcs68PPI/VE9jXq0wIg1k7Fj2s94fjX3CZlkEiniI2KhIxKifuemeHrxoUbiLgyZUjnCn71F+Vaq9zKXb1ULIR6fcWImEKjM+v+v6t2bQKgrwos/bhc01EKXKZUj7NlbVMzWFxVb1UbwZ/SFQAAIdd/P7h7k7gPLcnbvRpgoWVWwR1JEnFae/AOAVCrD86ev0PKbpirlLb9pikcPCvbowrHfDseUmWMxcsBkPHvyskDrKgoyqQxenj5o0rqRSnmT1o3g6V7wYeodnNtBrCvG3ycuFHhdhUkulSPk+VtUybbfrNKyNvw9fPK8HoEAEOqJVcrajOuO9lP6YOeIlQh+pv0jhWRSGXyf+aJ+q3oq5fVa1cMrj9znQmndozWmr52ONVPWwP2Ke97eTCCAWFf86XrFRCaVwefZazRspXrrQ8NWDfDCPffPd9ue32DO+llY/u1K3L+i3ZPD5pVCKkeC51vYtFH9jFi3ro0495yfEVlSGq63mY2b7edm/QTuvYzk1yG42X4u4h/5qtQv1aMpdHRFCDl+q1DbQURUEnEOAFX5GgHw5MkT/PbbbxAKhRAKhZBIJKhYsSJWrVqFESNGoE+fPh9dXk9Pr1CH/F/acRau66YgwNMPbx75oNUQJ1iWssaNg8qD8F5zhsDczhJ7Zm4GoDz5d137LY4u3o23j19njR7ISM9AelIqAKB8vcqwsLNE0Et/mNtbwnn6AAh0BPjnt1OF1g5NcN/xN7qtn4hwzzcIeeSLeoPbwrSUFZ4cvAwAaD1nAIztLXBuhnK28/rDnZAYEoNYv1AAQOlG1dB4bFd47M15AlN74Dd4fcED6Vo8odeH7u34G73WT0So51uEPHqN+oPbwayUFTze9UW7OQNhYm+BUzOUs1g7Du+AhJBoxLzrizKNqqHp2G54+EFfeBy4hEYjO6LTIhc83HMBlhXs0WJyTzzc80/RN/Az7Nx6AGu3LMWzJy/x6KEnBo/og1Kl7XFwz3EAwOzvp8DOwRazJv+QtczXtZQTXRkZGcLS2gJf16oKaYYMvj7Kk7pxU0bAbe4kuI3/H4KDQmH9boRBakoqUlPSiriFeXfwt6NYsul7vHrqBU+PF+gzrAfsS9vixL4/AQCT/zcetvbWWDh1WdYyVWtWBgAYGBnAwsocVWtWhlQqw1sff5V19xzSDdfP30JC3MevomuDmzv+wsB1kxHs+QaBj3zQZEh7mJeyxr2DlwAAnecMgpmdBY7O3AoAaObSAfGhMYh69/ko36gaWo/tjjt732/7bcY7o9OM/jg0bTNig6Oy5tvISElHhhZPcvbnjj8xY/0MvPb0hdejV+g8pDNsStng7wPnAADDvxsBK3srrHdbB0B58u+2fga2L9oGr8deMP/gOyT13XdIv8n94ev5GmEBYRCLxWjY1hHt+rbD1vlbiqWNeXV82wnM/XkOfDx98NLjJboN7Qbb0rY4s1/51IzRc0fB2t4KP01XPiWkbc9vMHfDHPyycCtePnqVNZIiI12ClHd9IRKLUK5K2Xe/i2HtYI1KNSoiLTUdof6hxdDKvHn761+ot3ky4p++Qby7D8q4tIfBV9YI3Kv8jFSbPwj69hZ4OmUroFAg2StYZXlJdALkEmmOcgAoM6QtIs67Qxr3ZXyfEhHRlytfCQCxWKy87w2AnZ0dAgMD8fXXX8PMzAyBgcU/vNP97B0YmRuj27R+MLOxQKhPEDa7Lkfsu8ezmdlawLK0dVb9VkM6QCgWYcjSsRiydGxW+Z3j17B3lvIxVmI9XfSYNRg2ZW0hSUnHs6uPscttE9ISU4u2cZ/J6+x96FuYoPnU3jCyNUe0TzCOj1yNxHfPLDayNYdpqfd9IdARoPV3A2BWxgYKWSbiAyNx/aejeHLwisp6LSrYo0zjajg6dGWRtqcgXp69BwMLY7Se2hvGtuaI8gnG4ZGrsx7bZ2xrDtNS74fFC3QEaPfdQJiXsUGmLBNxgRG48tMReHzQF4lhsTjoshIdf3DB+PMrkBgRhwe7z+PO1jNF3r7P8defF2BhYYYps8bBxs4aPl6+GDV4CkKDlcOTbeysUeore9Vlrr1/VGLtejXQs19XBAeGonUD5aPwhrkOgJ6eLrbsUR0F9POqX/HzqpyP09MWF09fgZmFKcbMGAlrWyv4eb/FtGFzEB4cAQCwtrWCfWk7lWUOXdqd9XuNutXRpU9HhAaFoUfjAVnlZSuWQf0mdTF5oFvRNKSAnp69B0NzEzhN6wNTG3OE+wRhl+tPiH/3+TC1NYd56Q/3FTroMmcQLMvYQC7LRGxgBP5edRj33yXUAGWSQKQnxvBfVfvg4objuLhBe28dunXmJkzNTTBo2iBY2loiwCcAi0csQlSI8nYHS1sL2JSyyarfeWgXiMQiTFw2CROXTcoqv/z7JWyYuQEAoG+gh4lLJ8HKwQoZ6RkI9g3G2ulrceuM9j4OEQCunbkOUwtTuEwfCktbS/h7B2De8O8RGaK8/c3K1hK2pW2z6ncf1g0isQjTlk/BtOVTssr/OXYBq2Yo9w1WdlbYduH94wIHTuiPgRP648ndp5jZf3YRtezzhZ26B10LE1SZ0Qd6duZI9grCwyE/IS1Y+RnRszWHwQefkbwyqmgPy6bVcb//ck2HTERElINAkY9ZETp27IiRI0diyJAhmDBhAh4/foypU6di//79iIuLw/37+Zv1e3z5/vla7r/kN//fsarcsOIOQyvMCTiAH8sNLe4wtMIPAQdR0bp+cYehFd5EP4ajQ6viDkMruIfdxJzyg4s7jGK3yv8wnMsW7yNotcWZwLNo/1XH4g5DK1wOvoC/7Pj5AIBuEYeLOwQiomJTx75Zkb2XZ3jOSdO1Tb7mAFi+fDkcHBwAAD/++COsrKwwceJEREZGYts2Pr6GiIiIiIiISNt89i0ACoUCNjY2qFmzJgDAxsYG586d03hgRERERERERAWRyccAqvjsEQAKhQJVqlRBcHDOSWyIiIiIiIiISDt9dgJAR0cHVapUQUxMTGHEQ0RERERERKQRiiL89yXI1xwAq1atwuzZs/H8ecGfk01EREREREREhS9fjwEcNmwYUlNTUbduXejq6sLAwEDl9djYWI0ER0RERERERJRfnANAVb4SAOvXr4dAINB0LERERERERERUSPKVABg5cqSGwyAiIiIiIiLSrC/l3vyikq85AIRCISIjI3OUx8TEQCgUFjgoIiIiIiIiItKsfI0AUORyH4VEIoGurm6BAiIiIiIiIiLSBM4BoOqzEgAbN24EAAgEAuzYsQPGxsZZr8nlcty4cQPVq1fXbIREREREREREVGCflQBYv349AOUIgF9//VVluL+uri7Kly+PX3/9VbMREhEREREREeUD5wBQ9VkJgLdv3wIA2rZtiz/++APm5uZZtwPwqQBERERERERE2itfkwBevXoVJ06cQK1ataCvrw99fX3UqlULO3bs0HR8RERERERERPmSqVAU2c+XIF+TAC5YsADr1q3DlClT0KxZMwDA3bt34ebmBn9/fyxdulSjQRIRERERERFRweQrAbBlyxZs374dgwcPzirr0aMH6tSpgylTpjABQERERERERMWOcwCoytctAHK5HI6OjjnKGzZsCJlMVuCgiIiIiIiIiEiz8pUAGDZsGLZu3ZqjfNu2bRg6dGiBgyIiIiIiIiIqKIUis8h+vgT5ugUAAHbu3IkLFy6gadOmAIB79+4hKCgIw4cPx4wZM7LqrVu3ruBREhEREREREVGB5CsB8Pz5czRo0AAA4OfnBwCwsbGBjY0Nnj9/nlWPjwYkIiIiIiIi0g75SgBcvXpV03EQERERERERaVQmJwFUka85AIiIiIiIiIjoy5LvOQCIiIiIiIiItJlCwREAH+IIACIiIiIiIqISgCMAiIiIiIiI6D+JcwCo4ggAIiIiIiIiohKAIwCIiIiIiIjoP4lzAKjiCAAiIiIiIiKiEkCgYEqEiIiIiIiI/oMczGsU2XuFxb8ssvfKL626BWBt2WHFHUKxmxl4AI1LtSnuMLTCg9Dr3CbemRl4AGLd0sUdhlaQZoRgcxluFwDwbdABVLFpWNxhFLvXUR5wLd+3uMPQCrv9T2Bq+YHFHYZW2Oh/FH/ZDS7uMLRCt4jDaF26fXGHUexuhFwu7hCIiIqdViUAiIiIiIiIiDRFwacAqOAcAEREREREREQlAEcAEBERERER0X8Sp7xTxREARERERERERCUARwAQERERERHRf1Im5wBQwREARERERERERCUARwAQERERERHRfxLnAFDFEQBEREREREREJQATAEREREREREQlAG8BICIiIiIiov+kTN4CoIIjAIiIiIiIiIhKAI4AICIiIiIiov8kTgKoiiMAiIiIiIiIiEoAjgAgIiIiIiKi/6RMcATAhzgCgIiIiIiIiKgE4AgAIiIiIiIi+k/iHACqOAKAiIiIiIiIqATIVwLgwIEDub42e/bsfAdDREREREREpCmZCkWR/XwJ8pUA+Pbbb3H27Nkc5W5ubh9NDhARERERERFR8chXAuDIkSMYNmwYbty4kVU2ZcoUHDt2DFevXtVYcERERERERET5pSjCf1+CfCUAOnfujF9//RW9evWCu7s7Jk2ahJMnT+Lq1auoXr26pmMkIiIiIiIiogLK91MABg0ahLi4OLRs2RI2Nja4fv06KleurMnYiIiIiIiIiPLtS7k3v6jkOQEwY8YMteW2traoX78+tmzZklW2bt26gkdGRERERERERBqT5wTA48eP1ZZXqlQJiYmJWa8LBALNREZERERERERUAAqOAFCR5wQAJ/cjIiIiIiIi+nLlaw6AhIQEyOVyWFpaqpTHxsZCJBLB1NRUI8ERERERERER5deXMjt/UclXAmDQoEFwdnbGpEmTVMqPHTuG06dP49y5cxoJriDqujih0fiuMLI1R8zrEFxdfAAhD7zV1i3dqCpazRsEy0oOEBnoISk4Gk8PXsGjnedV6jUY3Ql1hznBpLQV0mOT4HPuAW7+dAxyibQompRvfUf0gsvEQbCytcQbH3+sX7AZTx54qq1rZWuJ6Qsno3qdqihT4Ssc3XkC6xduzlFv0Jh+6DuiJ+xK2SEhLgFXzl7DLyu2I0OSUdjNKZCSul1MGD8CM2ZMgIODLV6+9MGMmQtx+/aDXOu3atUUa1YvRI0aVREaGoG1a7di2/b9ausOGNADBw9sxanT59Gv3+is8vHjhmP8eBeUK1cGAPDypQ+WLluPf/7RvtFEtYY7ocH4rjC0NUesTwhuLj6AsFy2C4dGVdF83iBYVH6/XTw/eAVPd7zfLnREQjSc7Izq/VvByM4C8W/CcGfFUQReU/+50xZDXPtjzGQX2NpZ47X3Gyz7fg3c7z1RW9fGzhrzFruhZt3qKF+xLPZtP4Jl369VqdOxW1tMmD4K5SqUgUgkQsDbQOzccgCnfi/+74hPaTusE7qM7wlzWwuE+ATh0JLdeP3wldq6DTs1QdthnVC2RnmIdMUIeR2EUxuO4fmNJyr1OozqhrZDO8GqtDWSY5Pw8O+7OL7qIGRatK9Qp+Wwjmg/3hmmtuYI9wnGiSV78eahl9q6FR2rocfcobCrVApiAz3EhUTh9qFLuLbz/f+5fZWv0HXGAJSpXQFWX9ni5JK9uLZL+7cJACg3sgMqTu4OPVtzJHsH48UP+xB3X/2+4kMWjaqi6Z8LkOQVhFvt56m8JjI1RLV5A2HfrRHEZkZIC4zCy0UHEHX5SSG1ouB6jeiBwRMGwNLWCv4+/ti0cAs8HzxTW9fK1hKTFkxAtTpV8VWF0jix6w9sWrhFpY5QJMSwb4egc/+OsLa3RtCbIPy6bDseXHtYFM0hIipR8pUAuH//vtqJ/r755hvMnz+/wEEVVDXnJmi7cBguf78HIe4+qDO0HfrsnY097b9DUmhMjvrSVAme7LmIKK9ASFMlKN2oGjqscIU0TYJnh5QnK9V7NUer7wbin9nbEerxGhYV7NF53XgAwLUlB4u0fZ/DqUdbzFj8LVb9bz2ePniO3i7O2HDwJwz8ZgQiQiJz1NfV1UVcTDx2/3wAg8f1V7vOTr2dMPl/47B05ip4PnyOspW+woL1ygOa9Yt+KdT2FERJ3S769++BtWsXYcqU/+HO3YcYO8YFZ88cQJ263yAoKDRH/fLly+DM6f3YufMQRoycgubNGmHTpuWIio7BH3+oHqSXLVsaP61cgJs37+VYT3BIGP43fwX8/PwBAC4u/XHyxC40atwJL1/6FEpb86OycxO0WjgM1+fvQZi7D2oObQfnfbNxqN13SM5lu/DcexExr5TbhUOjami70hWyVAlevNsumszuh2p9WuDqnJ2I8wtF2TZ10HX7dBzvtRjRLwKKuol50rVXB8xfOhOLvluJR/efYNCIvthxZBO6tOiPsJDwHPV1dcWIjYnD1vW74DphiNp1xsclYuv6XXjz+i2kUhnadmyFlRsXIiY6Dreu3i3sJuVb4+7NMWSBK/b/sB2v3b3wzdCOmLFnPuZ3mI7Y0Ogc9as2qYEXt57ixOqDSE1MRcv+bTFtx1z82HseAl+8BQA07dkK/b8bhl2zf8HrR96wr1AKo9d8CwA48uOeomzeZ6nfvRn6LBiB33/YiTfu3mgx1AkT98zD8g4zEKfm85GRJsGNfecR+ioQGWkSVHSshoHLxyIjVYI7hy8DAHQN9BATGIEn5+6h9w/Di7pJ+ebQsylq/Dgcz+fuQtwDb5Qd7oTGh+fieqtZSA/J2Rf/EpkYoO7mSYi5+Ry6NmYqrwnEQjQ59j9kRCfi0egNSA+LhX4pK8iS0wq7OfnWrsc3mLJoEtb9byOeP3yOHi7dserACgz/ZhQiQ3MeV4h1xUiIScD+jQfRf2xftescO2cUOvRxwuo5axHgG4TG3zhi2Y7FmNRzKl6/8C3sJhHRfxznAFClk5+FJBIJZDJZjnKpVIq0tOL/0mo4pgueHb2GZ0euIdY3FNcWH0BSaAzqurRXWz/yRQC8Tt9FjE8IEoOj8eqP2/C//gxfNa6WVadUg8oI8XgNr1N3kRgcjYCbz+F16i7s6lQsqmbly5BxA3D68DmcOvQX/H0DsH7hZkSERqHv8J5q64cFh2Pdgk04d/wfJCcmq61T27EmPB8+xz9/XEJYcDjuX3fHhT8v4+u61QuzKQVWUreL6dPGYvfuI9i1+zC8vHwxc9ZCBAWHYvx49Qfe48a5IDAoBDNnLYSXly927T6MPXuOYobbBJV6Ojo62Ld3M5YsWYO3bwNzrOevvy7i/PkreP36DV6/foMFC35CcnIKmjRuUCjtzK96Y7vg5dFreHnkGuJ8Q3Fr8QEkh8agdi7bRfSLALw+dRexPiFICo6Gzx+3EXj9GRw+2C6q920Jj82nEXD1KRIDo/B8/2UEXvdE/XFdi6pZn23UhGE4fvAUfj/wJ/xe+2PZ92sRHhKBIa791NYPCQrD0vlr8Oexv5CUy77iwR0PXDx3FX6v/RHoH4y92w7D+6UvHJvUK8SWFFzHMc64cewKbhy9jDC/EBxeshuxYTFoN6yT2vqHl+zG37+dwltPP0T4h+HE6kOI8A9HvfaOWXUqN6iG1+5euHf6FmKCo/Di5lPcP30LFWpXKqpm5UvbMd1w79gV3D16BRF+ITi5ZC/iwmLQclhHtfWDX/jj0ek7CH8djNjgKLj/eQteNzxRqdH774dATz+cWnEQj87cgSxDu0c/fKjChG4IOnQVQQevIvl1KF7+sA/pITEoN7LDR5ervWYMQk/eRpz76xyvlRncFmILY7iPXIu4hz5IC45G3ANvJL3MuU/VFgPG9sNfR/7GX4fPIcA3EJsWbkFUaCR6DXdWWz88OAIbF/6Cf45fREpiito6Hfs64cCmQ7h35QHCAsNwat8ZPLjujoHj1V+IICKi/MtXAqBRo0bYtm1bjvJff/0VDRs2LHBQBaEjFsKudgUE3HiuUh5w8zlKNaySp3XY1iyHUg2rIPje+yGOIQ99YFerPOzrKk/szMraoELbunh75YnGYtc0kViE6nWq4v511SF0968/RB3HWvle79MHz1C9TlXUqKc8oCtV1gHN2zfFrcvae0WvpG4XYrEYDRrUwcVL11XKL128jmZNHdUu07RJQ1y6qFr/wsVraNiwDkSi94OGvv/eDVHRMdi958gn49DR0cGAAT1gZGSIe/c98tGSwqEjFsK2dgUEZdsugm48h71j3rYL65rlYN+wCkI/2C6EuiLI0lVPbGTpUjg0qlrwoAuBWCxCzbrVceua6kiOW9fuoUGjOhp7n2atGqFCpXJ4ePeRxtapaUKxCOVrVcKLm09Uyl/cfIpKDaupXygbgUAAfSN9pMS/T4z4uL9C+dqVUKFuZQCATRk71GnbAE+vanNfCFGmVkV43VS9dcXr5lNUaJi3bfmrmuVRoWFV+N5Xf/vEl0IgFsKsTgVEZbuNJ+q6Jywcc++Lrwa1gWE5O7xec0Lt63adGiDe/TVqrXSF0/Nf0fr6KlSa1hPQ0c4nKonEIlStUxUPr7urlD+87oFajjXzvV6xnm6OWwgl6RLUbpz/YxUiIlIvX7cALFu2DE5OTnj69Cnat1deJbt8+TIePnyICxcufHJ5iUQCiUSiUqanp5efUHIwsDSBjkiI1OgElfKUqASUtzH/6LLj7m/MWv7u+pN4duRa1mveZ+7B0MoEg04sAATKg8Qn+y7hwZYzGom7MJhbmkEkEiEmOlalPDYqDla2lrks9WkXT12BhZU5tv+5GQKBACKxCMf3/Il9mw8VNORCU1K3C2trS4hEIkRGqA5bjoiMhp29rdpl7OxtERGpWj8yIhpisRjW1pYID49E82aOcB05GI6NPn7lq1at6rh54zT09fWQnJyCfv3H4NWrnFfBikvWdhGlul2kRifA8BPbxcgHyu1CIBLiwfqTePnBdhF4/Rnqje2C0PteSAiIRJmWNVGhYwPo6OQr51roLCzNIRKJEB2lOow5OioG1rZWBVq3sYkxbj37G7q6usiUy7Hou5W4ff1+gdZZmEwsTCAUCZGYbZtIiIpHLWvzPK2j09ge0DPUx4O/bmeVPThzGyaWpvjf70uBd/vNK/vP49zWPzQZvkYZWZhCKBIiKVtfJEUlwOQTfbHk7hYYW5pCRyTE3xt+x92jVwox0sKn+64tGdn6QhKVAD1bM7XLGFawR/XvB+Nuj0VQyDPV1ylnC4OWNgg9eRsPhvwEo4r2qLXCFQKhEL7rTmq8HQVlZmkGkUiIuOg4lfLY6DhYFuC44sG1hxgwrh+e3vdEiH8oGrZsgJadmmvtPpOIviy8BUBVvhIALVq0wN27d7F69WocO3YMBgYGqFOnDnbu3IkqVT591WzFihVYvHixStnChQthkp9gcpH9P1ogAPCJ//wj/X6ErqEeHBpURqu5AxHvHwGv08qr2l81/RpNvu2Jy9/vQdhjX5iXt0fbRcOQEtkL9zb+qcHIC0G2ZgsEBfsgNGhWD65Th2HV/9bj+aNXKFO+NGb8OAXRkTHYtWFfAYMtXCV1u8jZbsFHtwG1/fSu3NjYCHv2bMKEibMRExOnZun3vL394NioI8zNTNG7T1fs2rkB7Z36alUSAEDObSAP28WJvj9C10gPdvUro/m8gUjwj8DrU8rt4sbC/Wi3ajSGXlsNKBRICIjEq2M38PWA1oXUAM1Qv50UbJ0pySno0XYwjIwM0axVY8xbMgOB/iF4cEd7RoKok33GYIEgb1dkm/RoiV7TB2Dj2J+QFJOYVV6taU04f9sX+3/YjjdPXsO2vD2GLBiF+Mg4nNl0XKOxa5r6vvj4hrGh/0LoGemjfP0q6PHdEEQFhOPR6TuFGGXRyN5qgfILNWdFHQHqb/0WPquOI+VNzjk03tfTQUZ0IjxnbgcyFUj0fAt9OwtUnNxdKxMA/8qxyyzgccXGBb9gzuqZ2H99NxQKIDQgFH8f/QddBqq/7YaIiPIvXwkAAKhXrx4OHszfJGfz5s3DjBkzVMr09PSwedfoXJbIu7TYJGTK5DDKdvXO0NoMKdmu/maXGBQFAIj2DoahtRmaufXJOtFrMasfXp68nXX1N9o7GGJDPXRYOQr3Np365MlCcYiPTYBMJoOVjWpW3sLaArFRHz9x+5gJc0bj3IkLOHXoLwCAn9cb6Bvq43+rZ2H3z/u1MstWUreL6OhYyGQy2NnbqJTb2lghMiJK7TIR4ZGwt1Otb2NrDalUipiYONSsWQ0VKpTFn3/syXr936s0aakBqFmrNd68UU50J5VKsyYB9HjkCceG9TDl2zGYNPk7DbWwYP7dLgxtzVXKDa3McowWyS7p3XYR4xUMQxszNHbrk5UASI9NwrkxGyDUE0Pfwhgp4XFoNm8gEgPV93lxi4uNh0wmg42ttUq5lbUlYqJyn9wsLxQKBQLfBgMAXj33QaWqFTBhuqvWJgCS4pIgl8lhlm1fYWpthoTo+I8u27h7c7j+NAlbJq3By9uqQ8X7zBiEOydv4MZR5UR4wd6B0DPQx4gVE3B28wmt3G+mxCVCLpPDNFtfGFubIukTn4/YYOW2HuYdBBNrc3SZ1v+LTgBkxCYiUyaHXrZJ/HStTSGJSsxRX2RsAPP6lWBauzxqrhgJABDoCCDQ0UGXkAN4MHAFYm69gCQiHgqZDMh8//+f/DoE+nYWEIiFUEjlhdquz5UQmwCZTA5LGwuVcgsrC8QV4LgiITYB80cvgK6eGKYWZogOj8aE/41FWOBHkidERHmkfd+wxavAY6vS0tKQmJio8vMpenp6MDU1VfnR1C0AmVI5Ip69RblWqveNlWtVC6Eeeb/qKBAIINR9nx8RG+hCoVAdwqeQZwICAfJ4YajIyaQyeHn6oHFr1Xu9G7d2hKf781yW+jQ9Az0oMlU/SpmZmQAEeb5KVtRK6nYhlUrx6JEnnNqrXnlu79Qad++5q13m3n0PtHdSrd/BqQ08PDwhk8ng5eWLevXbwbFRx6yfM2cv4Nq1O3Bs1FHtkwX+JRAIoKenW/CGaUimVI7IZ29RJtt2UaZVLYSrmbArV9m2i3/JJVKkhMdBRyREpa6N8faidt7vLZXK8OKpF1q0aaJS3qJNEzx6qNlHFwoEyicIaCu5VAb/536o2bKuSnmNlnXg55H7496a9GiJ0Wu+xW/TNsBTzX39ugZ6OfYVmZmZyv2ENuws1JBL5Qh6/gbVWqrOA1G9ZR289cj7kzwEAkCkl+/rDVpBIZUjwfMtbNqo9oV169qIc8/ZF7KkNFxvMxs328/N+gncexnJr0Nws/1cxD9Szmwf99AbhuXtVbYBo0oOSA+P07qTf0B5XOHj6QPH1qrzPTm2bojn7i8KvP4MiRTR4dEQioRo3bUVbl34cpNGRETaKl/fyKmpqZgzZw6OHTuGmJicV4fk8uL90vLY8Te6rJ+ICM83CH3kizpD2sKklBWeHlBeeWn53QAY21vgvNtvAIB6w52QGBqDWF/liUvpRtXgOK4rHu95P5+B36XHaDimCyKfByDsiR8sytuh+ax+eHPxUY6TYW1yaNsxLN44H688vfHM/QV6D+sO+9K2OLnvNABg0ryxsLW3waJpy7OWqVJTOUmVoZEBLKzMUaVmZcgypHj7WnlV99bFOxg8bgC8n7/Gi0cv8VWFrzB+9ijcvHj7XSJAO5XU7WLDz9uxZ/fP8PB4inv3PTBm9DCULVMa27btBwAsXToXpUs5wHXUNADAtm37MWmiK1avWoiduw6iaZOGcHUdhGEukwEo5/B48UL1RCghXpn4+7D8xx/n4vz5KwgODoWJiTEGDOiJNm2aoVv3oUXR7Dx7sv1vdNgwEZGebxDu4YuaQ9vCuLQVnr/bLpp9NwBG9ha49G67qD3CCUkhMYh7t12UalwN9cd1hecH24VdvUowsrdA9MsAGNlborFbHwgEAjzaerboG5hHu349gNW//IjnT1/i8UNPDBzeBw5f2ePwHuXw9Jnffws7exvM+XZh1jJf11JOfmZoZAhLKwt8XasqpBlS+PooH303fpornj95iUD/YIjFYrRxaoFeA7pj4ZwVRd/Az3BhxxmMXTcV/p5+8H3kjTZDOsCqlDWuHlT+H/ebMxTmdpbYMXMTAOXJ/5i1U3Bo8S74PfbJumIuTc9AWlIqAODJZXd0Gu2MgBdv8eax8haA3jMG4ckldyi0eL95dcdfcFn3LYI8/fD20Ws0H9IeFqWscevgRQCA85zBMLOzxIGZykfAtnLpiLjQaET4KT8fFRtVR7uxzrix93zWOoViIeyrfAVAOamcmZ0FStcoB0lKOqIDIoq4hXn39te/UG/zZMQ/fYN4dx+UcWkPg6+sEbj3EgCg2vxB0Le3wNMpWwGFAslewSrLS6ITIJdIVcoD9lxE+dGdUHPZCPjvOA+jig6oPK0X/Hech7Y6tv045v88F95PffDC4yWch3WDbWlbnNqvnPtm3NzRsHawxvJpP2UtU7mm8mkXBkYGMLc0Q+WalSDNkCHg3XHF1/Wrw8beGq9f+MHG3hquM4dDR0eAw1s+PcksEdGnyDJCijsErZKvBMDs2bNx9epVbNmyBcOHD8cvv/yCkJAQ/Pbbb1i5cqWmY/xs3mfuQ9/cBE2n9YaRrTlifIJxcsRqJL17Tq+RrTlMS70f6irQEaDVdwNgVsYGmbJMxAdE4ubKo3h68P2kRfc2/gkoFGgxuz+M7S2QFpOIN5ce49bq34u6eZ/l0umrMLMww2i34bC2tYKf91u4DfsO4SHKgyxrWyvYlVadDO7gxZ1Zv39dtzo69+mA0KAw9GoyCACwa4NymP+EOaNhY2+D+Nh43Lx4B1tX7ii6huVDSd0ufv/9NKwsLTB/vhscHGzx4oU3nHu4IDBQuTN0sLdDmTKlsur7+wfBuYcL1q5ZhIkTRyA0NAJubgvwxx/nPut97WytsWf3Rjg42CIhIQnPnr1Ct+5DcfnyTY22r6B8z9yHvoUJGv27XXgH4+wH24WhnTlMSn+wXQgEaDZ3AEzfbRcJAZG4u/Ionh94v10I9cVoOrs/TMvaQJoqQcCVJ7g0fSsyElOLvH15de7PizC3MMfkmWNha2cNHy8/jB08FaHByiG4tnbWKPWVvcoyp68ezvq9dr0a6NGvC4IDQ9G2ofJxYIaG+li0ai7sHWyRni7Bm9f+mDXpe5z782LRNSwfHpy9AyNzE/SY1h9mNhYI8QnEetfliAlRDms3s7WA1QfbxDdDOkAkFmH40nEYvnRcVvmt41exc9ZmAFDe569QoM/MwbCwt0RSTCKeXHbHiTXaO3kqADw+exdG5iboNK0vzGwsEOYThF9dVyIuRDlRqKmtOSxKv58oUqCjg+5zhsDq3ecjOjACZ1Ydwu2Dl7LqmNlZ4rtzq7L+bj++B9qP74HX915g06AlRde4zxR26h50LUxQZUYf6NmZI9krCA+H/IS0YGVf6Nmaw6C09SfWoio9NBb3B65AjSUuaHX1J6SHx+Ht9r/ht+l0YTRBI66cvgZTC1OMcHOBla0l3nr74zuXeYgIiQQAWNlZwa6U6nHFrgvvnxxVvW41dOjjhLCgcAxsqkwI6+rpYsycUXAo64C01DTcu3IfS6euRHIujw0kIqL8EyjyceNh2bJlsW/fPnzzzTcwNTXFo0ePULlyZezfvx+HDx/GuXOfd6Lwr7Vlh+Vruf+SmYEH0LhUm+IOQys8CL3ObeKdmYEHINYtXdxhaAVpRgg2l+F2AQDfBh1AFZviffSqNngd5QHX8n2LOwytsNv/BKaWH1jcYWiFjf5H8Zfd4OIOQyt0iziM1qXbF3cYxe5GyOXiDoGIqNjlaw6A2NhYVKhQAQBgamqK2FjlY+ZatmyJGzduaC46IiIiIiIiItKIfCUAKlasCH9/fwBAjRo1cOzYMQDAmTNnYG5urqnYiIiIiIiIiEhD8pUAcHV1xdOnTwEoH+m3ZcsW6Onpwc3NDbNnz9ZogERERERERERUcPmaBNDNzS3r97Zt28LLywvu7u6oVKkS6tat+5EliYiIiIiIiKg4aOTBvGXLlkXZsmU1sSoiIiIiIiIiKgR5TgBs3LgxzyudOnVqvoIhIiIiIiIiosKR5wTA+vXr81RPIBAwAUBERERERESkZfKcAHj79q3acoVCAUB54k9ERERERERE2ilfTwEAgJ07d6JWrVrQ19eHvr4+atWqhR07dmgyNiIiIiIiIiLSkHxNAvjDDz9g/fr1mDJlCpo1awYAuHv3Ltzc3ODv74+lS5dqNEgiIiIiIiIiKph8JQC2bt2K7du3Y/DgwVllPXr0QJ06dTBlyhQmAIiIiIiIiIi0TL5uAZDL5XB0dMxR3rBhQ8hksgIHRURERERERESala8EwLBhw7B169Yc5du2bcPQoUMLHBQRERERERERaVaebwGYMWNG1u8CgQA7duzAhQsX0LRpUwDAvXv3EBQUhOHDh2s+SiIiIiIiIiIqkDwnAB4/fqzyd8OGDQEAfn5+AAAbGxvY2NjgxYsXGgyPiIiIiIiIiDQhzwmAq1evFmYcRERERERERFSI8jUHABERERERERF9WZgAICIiIiIiIioBmAAgIiIiIiIiKgGYACAiIiIiIiIqAZgAICIiIiIiIioBmAAgIiIiIiIiKgGYACAiIiIiIiIqAZgAICIiIiIiIioBmAAgIiIiIiIiKgGYACAiIiIiIiIqAZgAICIiIiIiIioBmAAgIiIiIiIiKgEECoVCUdxBEBEREREREVHhEhV3AB86WGpYcYdQ7IaGHsDOr9gPADA6+ADCWrYt7jC0gsOtqxDrli7uMLSCNCMEgY7tizsMrVDW/TLe1u1Q3GEUuwpPLyK0OfcVAFDqzlXctu9X3GFohRbhx/G8YvfiDkMr1HpzFkvKDS3uMIrdgoCD2FSGx1gAMCXoQHGHQETFhLcAEBEREREREZUATAAQERERERERlQBMABARERERERGVAEwAEBEREREREZUATAAQERERERERlQBMABARERERERGVAEwAEBEREREREZUATAAQERERERERlQBMABARERERERGVAEwAEBEREREREZUATAAQERERERERlQBMABARERERERGVAEwAEBEREREREZUATAAQERERERERlQBMABARERERERGVAEwAEBEREREREZUATAAQERERERERlQBMABARERERERGVAEwAEBEREREREZUA+UoA3LhxAzKZLEe5TCbDjRs3ChwUEREREREREWlWvhIAbdu2RWxsbI7yhIQEtG3btsBBEREREREREZFm5SsBoFAoIBAIcpTHxMTAyMiowEERERERERERkWaJPqdynz59AAACgQAjR46Enp5e1mtyuRyenp5o3ry5ZiMkIiIiIiIiogL7rASAmZkZAOUIABMTExgYGGS9pquri6ZNm2Ls2LGajZCIiIiIiIiICuyzEgC7d+8GAJQvXx6zZs3icH8iIiIiIiKiL8RnJQD+tXDhQk3HQURERERERESFKF8JAAA4fvw4jh07hsDAQGRkZKi89ujRowIHVlBVRjihxsSuMLA1R7xPCDwWHEDUA+9PLmfTqAqcTnyPeO9g/N1hflZ5mS6OqDm1B0zK20FHLETi2wh4/XoOb0/cLsxmaMTXw51Qe8L7vri36AAi8tAXto5V0O3494jzDsafnd73hXnV0mgwqy+sa1eASRkb3Fu4Hy92/lOYTdAYw949YTR4IIRWVpD5+yPh582Qej7LfQGxGCauw6Hf0QlCS0vIo6KQvO8g0v76GwAgqlAexqNdIa5WFSIHeyT8vBmpv58ootbk3YTxIzBjxgQ4ONji5UsfzJi5ELdvP8i1fqtWTbFm9ULUqFEVoaERWLt2K7Zt36+27oABPXDwwFacOn0e/fqNzipv2bIJZs6ciAb1a6NUKXv07TcKp09r53Zi3K8HTF0GQGhtBekbf8St3QLJE/XbhV7DurD7bV2O8tC+IyELCFL+IRTC1HUIjLp3hMjGGtKAIMRv2o70uw8LsxkFZjLAGWYj+yv7wc8fMau2QvL4udq6+o514LBzbY7y4J6jIPUPyvrbdGhvmAxwhsjeFpnxCUi5eBNxG3dCkSEttHYUFsM+PWE8RLn/kL71R+LPm5Hx9BP7j1HDYdDp/f4jac/7/ceXyn5kJ5Se1AO6thZI9Q7C2wV7kHj/ldq6ps1rovbJxTnKH7WcijTf0MIOVeMsh3WF9dg+ENlaQuITiLCl25H68IXaukZNaqPC4RU5yn2cJiDjTXCOcrPurVFm4xwkXriLwAnLNB67Jjm6OKHZ+G4wsTFH5OsQXFi8H4EP1R9XlHGsCqd5g2FVyQFiAz0kBEfD49Bl3N95PqtO3X6t0XPt+BzLLqs6EnKJdu8rag93Qv3xXWFka45YnxDcXHwAobkcYzk0qorm8wbBorKyL5KCo/H84BU82fG+L3REQjSc7Iyv+7eCkZ0F4t+E4faKowi85llUTSKi/7h8JQA2btyI+fPnY8SIETh16hRcXV3h5+eHhw8fYvLkyZqO8bOV69EEDRcPw8P/7UHUAx9UcWmHtgdn4+w33yE1JCbX5cQmBmj28wSE33oBfRszldck8Sl4/vNpJPqGIlMqQ2mn+mi6fhzSoxMRdv0jB4DFrIJzEzRZNAx35u9BxEMfVB/WDp32z8aJtt8hJfTjfdFmwwSE3noBg2x9ITLQQ1JgFPzPPkCThcMKuwkao9+uLUynTkbC2g2QPnsOw57OsFzzE6JcRiIzIlLtMhZLFkLH0gIJK1dDHhwCHQsLQCjMel2gpwd5aCjSr16D6ZTi3/bV6d+/B9auXYQpU/6HO3cfYuwYF5w9cwB16n6DoKCcB+Dly5fBmdP7sXPnIYwYOQXNmzXCpk3LERUdgz/+OKdSt2zZ0vhp5QLcvHkvx3qMjAzh6fkSe/cexe/HdhRa+wrKsMM3sJg5CbErN0Ly9DmM+3SHzcYVCOs/CvJctgsACO0zApkpKVl/Z8YlZP1uPmkUDLs4IXbZWkj9g2DQ1BHWqxcjYvRUSL19C7U9+WXUqQ2s5kxE9LJNkDx5AZN+3WC/ZTmCe4+GPDwq1+WCeoyEIjk162/5B/1g1LUdLKaNQfTCNZA8fQlxua9gvWQ2ACB2za+F15hCoN++LcymTUbCmg3I8HwOw17OsFz7E6KGjsx1O7FYuhBCCwvEL1e///gSWfdsjgpLRuLN3B1IfOgFe5cOqHHof3jU2g0ZIdG5LufRfArkSWlZf0tjEosiXI0y7dYK9t+PRdiCrUj1eAmLIV1Qbtci+HaaBGlo7p8Rn/bjkJn0/jMii83ZdnEpG9jPG4WUB+oTbtqkRvem6LTABed+2I0gdx80GNIOQ/bOwRanOUhUc1whTZPgwd4LiHwViIw0Cco2qoZuy0dBmirBo8NXs+qlJ6bil3azVJbV9pP/Ks5N0GrhMFybvwdh7j6oNbQdnPfNxsF23yFZXV+kSuC59yJiXgVCmipBqUbV0HalK6SpErw4pOyLprP7oVqfFrgyZyfi/EJRtk0ddNs+Hb/3WozoFwFF3UQi+g/K12MAt2zZgm3btmHz5s3Q1dXFnDlzcPHiRUydOhUJCQmfXkEhqz6uC/wOX4PfoWtI9A2Fx8IDSA2NQdXh7T+6XONVo+D/x11Ee+Q8QI+8+wrB592R6BuK5IBIeO/8B/GvgmDTuFphNUMjao3rAp8j1+Bz+BoSfENxf9EBpITG4OtP9EXLlaPg9+ddRD7K2RfRT9/g4dLDeHP6HuRf0FU8o0H9kXr2HNLOnoMsIBCJG39BZmQkjHr1UFtfr0kj6Nari9hZc5Hh/gjy8AhIX3lB+vz91R6plzeStvyG9MtXoZBqZ19MnzYWu3cfwa7dh+Hl5YuZsxYiKDgU48cPV1t/3DgXBAaFYOashfDy8sWu3YexZ89RzHCboFJPR0cH+/ZuxpIla/D2bWCO9fzzz1UsXLgKf/6p3Vc7TYb2Q/Kpv5Fy6hxk/oGIX7cF8ohIGPdz/uhy8tg4ZMa8/0FmZtZrhl2dkLj7ENJvP4A8JAzJJ84g/Z47TIf2L+zm5JupS18k/XEeyX/8DenbQMSu3gpZeBRMB3y8HzJj4yGPicv6+bAf9OvWgOTJC6T8fRWy0Aik3fVAyvmr0KtZtbCbo3HGg/oj9cw5pJ55t//4+RfIIyNh2Dv3/YdevbqImZn7/uNLVGq8MyIOX0HEoctIex2Ctwv2QBISA4cRHT+6nDQ6AdKo+KyfD7eTL4X16F6I+/0i4o5dgMQvGOE/boc0LBqWQ7t+dDlZdAJk0fFZPznarqODrzbMQuTPB5ERGF54DdCQZmO64PHRa3h85BqifUNxYckBJITFwHGYk9r64S8C8OL0XUS9DkFCcDSe/XEbfjeeoWzj6qoVFQqkRCWo/Gi7emO74OXRa3h55BrifENxc/EBJIfGoLaL+mOs6BcBeH3qLmJ9QpAUHA3vP24j8PozlPrgWLJa35Zw33waAVefIjEwCs/3X0bgdU/UH/fx7YyIKK/ylQAIDAzMetyfgYEBkpKSAAAuLi44fPiw5qLLBx2xEJZ1KiDsumoWPez6c1g7Vsl1uYoDW8OknB2erTuZp/exa1kTppXsEXnfq0DxFiYdsRDWtSsg5IZqX4TceA7bj/RFlQHKvni8Pm998UUQiSCuWhWSh+4qxZKH7hDXqqV2Eb2WLSD19obx0EGw/eMYbA7vg8nkCYCublFErBFisRgNGtTBxUvXVcovXbyOZk0d1S7TtElDXLqoWv/CxWto2LAORKL3g4a+/94NUdEx2L3niOYDLyoiEXSrV0X6PdXtIv2eB/Tq1Pzoog4Hf0Pp88dgu2U19BrWU3lNINaFItutUQqJBHr11G9rxU4kgt7XVZF210OlOO2uB/TqfrwfSh3dijKXjsB+2yroN6qr8lr64+fQ/boKdGspD25Fpe1h0LIxUm/e12z8hU0kgrhaVUgeZNt/PHCHbm31/6f6rVpA6uUN42GDYHfqGGyP7IPpt1/W/iM7gVgE4zoVEX/tqUp5/PWnMGn08WR4vUur0ejpdtT8fSHMWnx8m9JGArEIBrUqI/nmY5Xy5JuPYdigei5LKVU++zOq3duH8geWwahp7Ryv204dBHlMIuKOXdRozIVBRyyEQ+0K8LupOvLxzY1nKNMw9+OKD9nXLIcyDaogINttI7pG+ph6+2dMv7cJg3bNgn3NchqLuzDoiIWwrV0BgdmOsQJvPIfDR46xPmRdsxzsG1ZByL33x5JCXRHk6aoXFGTpUpRq9OUlTolIO+XrFgB7e3vExMSgXLlyKFeuHO7du4e6devi7du3UCgUn1xeIpFAIpGolOnp6eUnlBz0LE2gIxIiPVo1c5welQADW3O1y5hUsEO9/w3Exd4/QiHP/aqE2MQAvR9tglBXBIU8Ew/+twfhN7R3uJ7+u75Iy5ZFT4tKgIGNudplTCvYodG8gTjb5+N98aXRMTODQCREZmycSrk8Ng56VhZqlxGWcoBu7dpQSDIQ978F0DEzg+nM6dAxNUXCilVFEXaBWVtbQiQSITJCdWhuRGQ07Oxt1S5jZ2+LiEjV+pER0RCLxbC2tkR4eCSaN3OE68jBcGzUodBiLwpCc+V2IVezXehbW6pdRh4dg5ila5Hx6jUEumIYdXWC7dbViBw/A5LHyoPi9HsPYTKkHySPPCELDoV+4wYwaNMcAp185VwLndDiXT/EZOuHmDgIrdV/PuRRsYhevA6Sl8p+MO7uBPttqxA+ehbSHyn7IeX8NQgtzFBqz3oAAgjEIiQePY2EXUcLu0kapZPLdpIZGweh5Uf2H3VqQ5GRgdi5C6BjbgazWcr9R/zyL2P/kZ3Y0gQCkRDSbN8p0qgE6ObynSKNiIPvzF+R7OkHHV0xbPq3Rs3fF+J5n4VIvKd+3gBtJLQwhUAkhCw652dEZNNA7TLSyFiEzNuEtOe+EOiKYd67LcofWIa3g+dlzRtg2PBrWPTvCN/uUwu9DZpgaKE8rkjJdoyVEp0Ao2y3C2Y3/d4mGL47Lrm+4QQeH7mW9Vq0XyhOzfoNkV5B0DM2QONRneF6YiF+6zwPsf4RhdGUAjN415bU7MdY0QkwzOXz8C/XBxth8O7z9GD9Sbz8oC8Crz9DvbFdEHLfCwkBkSjTsiYqdGwAHS39/iCiL0++EgDt2rXDmTNn0KBBA4wePRpubm44fvw43N3d0adPn08uv2LFCixerDop0MKFC5G3fGkeZU9ECKA2OSHQEaDFL5PxbM0JJL35+NA7aXI6znWYD7GRHuxa1kTDhUORHBCFyLtafhCjpi9ylEHZF99smoxHa08g8a32D0PMl2ztFggA5JKzErx7MX7JMije3eudtGkLzJcuQsLaDUC2K7zaLPu2LxAIPpqsy1n/fbmxsRH27NmECRNnIybbCeMXK3tX5PIZAQBZQDBkAe8n8Mp49hIiO1uYuAzISgDErfkFlt/PhMPx3YACkIWEIuX0PzDq0amQGqAhOfYVglz7QRoQDOkH/SDxfAWRvQ1MR/TPSgDoO9aB2ZghynkFnr2CuGxpWM2ZBHl0LOK3HSy0ZhQeNd8ruVXVUe4/4ha9338kbtwCi2WLEL9mwxe1/8hB7fer+qppfqFI83s/10iShw/0Slmj9MQeX1QCIEuOdube+Iy3Ich4G5L1d9pjL4gdbGA9tg8CH76AjpEBvlo3EyH/2wR53Bc2J4LafcXHF9nTfwl0DfVRun5ltJ87ELH+EXhx+i4AIOSxL0Iev7/lMNDdB+P+WoZGIzvhn0X7NB29ZuXxGOtDJ/r+CLGRHuzrV0azeQMR7x+B16eUfXFj4X60XzUaw66tBhQKJARE4tWxG/h6QOtCagARlTT5SgBs27YNme/uYZswYQIsLS1x69YtODs7Y8KECZ9YGpg3bx5mzJihUqanp4fj20bnskTeSWKTkCmTQz9b9lXf2gzpau4nExkbwKpeRVjUKgfHZSMAKE+EBTo6GBy4F1cG/4SI2y+VlRUKJL/LRMe9CIRZldKoOcVZaxMA6e/6IvvIBwNrM6RF5+wLsbEBbOpVhFWtcmi2VLUvXP334vyQnxB252VRhK5xmQkJUMjk0LFSvaqrY2GR46rev+QxsZBHRWcdvAOALCAAAh0dCG1tIA8OUbucNomOjoVMJoOdvY1Kua2NFSIj1E9aFREeCXs71fo2ttaQSqWIiYlDzZrVUKFCWfz5x56s1/+9MpGWGoCatVrjzZsvY6IiebxyuxBmGwUitLDIcTX8YyTPX8Koy/v7XzPjExA9awGgK4bQzAzyqGiYTxkLWYh2Jtbkce/6IduoB6GlOeQx8XleT7qnF4y7vb/31WLySCSfvYTkP5TzQEh9/SEw0If1D9MRv/3QJw+StUXmv9uJpSU+HJirY2GRY1RR1jLRavYf/l/W/iM7aWwSFDI5xNm+U8TWZpBGx+d5PUkePrDp+2WdzMjjEqGQySGyybavsDJX3tefR2mPvWDWqy0AQLesPXTL2KPc9gXvK+gos601fU7htdN4rZsTIDVOeVxhlO0Yy8jKNMeogOzig5TfOZHeQTC2MUOb6X2yEgA5KBQI9XwDqwr2mgi7UKS9O8YyzH6MZWWG1E/0ReK7vojxCoaBjRmauPXJSgCkxybhrzEbINQTQ9/CGCnhcWg+byASA3OfaJKI6HPkKwEQHByMMmXKZP09YMAADBgwAAqFAkFBQShbtuxHl9fT09PYkP/sMqVyxHq+hUPrWgg+//5+TYfWtRD8j0eO+tKkNJxtO1elrOoIJ9i1rIGbYzci+WM7XAEg1BVrLHZNy5TKEf3sLUq3qoWAD/qiVKtaCLyQsy8yktJwsr1qX3w93AkOLWrgyviNSPqSv3xkMkh9fKDXyBGSG7eyinUdG0JyS/2jHDOePYdB2zYQGOhDkZYOABCWKQOFXA555JfRF1KpFI8eecKpfWucOvX+MUPtnVrjzBn1j+S7d98D3bqpDu3v4NQGHh6ekMlk8PLyRb367VReX7x4DkyMjTFj5gK1TxbQWjIZMrx8oN+kIdKuvd8O9Js0ROr1vD/iU7daFcijY3O+kCGFPCoaEAph0K4VUrPNraA1ZDJIXvnAoGkDpF55326Dpg2Qeu1OnlejV70S5NHvZ74W6OvlPMmXZyqvFn5kdIHWkckg9faBXmNHpH+w/9Br1BDpN3Pff+i3U91/iMp+WfuP7BRSGZI938C8TR3E/v3+MaLmbeog9nzeH3FpVLsCMiK/rNFDCqkMac99YdyyHpIuvD9pNW5ZD0mX8j6nhX7NSpBFKvcVEr9gvO6s+vQYuxnDoGNsiLAl2yANy/2pCsUlUypH2LO3qNiqFrz/eX9cUbFVbXirOa7IlQAQfeL4ya5GWUR6B320TnHKlMoR+ewtyrSqhTcfHGOVbVULbz6jLwQCAYS6OQ/H5RIpUsLjoCMSolLXxvA9+4XNnUJEWitfCYAKFSogLCwMtraq9xDHxsaiQoUKkMvlGgkuv7y2/Y1mGycixvMNot19UXlYWxiWtsLrfZcBAPXmDYCBvQXuTvtNObzKW/V5vOkxiZBLpCrlNb91RoznWyT7R0BHV4RS7eqhYr+WeDBvT1E27bM93/Y32vw8EVGebxDp4YvqQ9vCuLQVvPYr+8Jx7gAY2lvgxnRlX8Rl64u0d33xYbmOWAjzKqXf/S6CoYMlLGuUhTRVgiQtvVcPAFKO/A7zH+ZB6uUN6fMXMOjRHUI7O6T+eQYAYDJ+DHRsbJCwVPnc5vSLl2AywgVm//sOyTv3KOcAmDxe+Qzvf4fvikQQlVdOVCQQiyC0sYaociUo0tIgD9GOE+ENP2/Hnt0/w8PjKe7d98CY0cNQtkxpbNu2HwCwdOlclC7lANdR0wAA27btx6SJrli9aiF27jqIpk0awtV1EIa5KA9UJRIJXrxQfcZxQrxy+OqH5UZGhqhcuULW3xXKl0XdujURGxunVUmCpIPHYbVkLjJe+UDi+RLGfbpBaG+L5BPK7cJs8miIbK0Rs/AnAIDJ4D6QhUZA+sYfArEIhl2cYNi+NaJmL8xap27N6hDaWiPDxw8iG2uYjRsOgUCAxH3aO2Fi4v4TsFn2HSQvfSB5+gomfbtC5GCLpN/PAgAspo6C0NYa0d8r7183HdobstAIZPgFKCeH69YeRh1aI2LG+9u7Uq/fg5lLX2R4+ULyzAuiMqVgMXkEUq/f/eJmgU8+8jssFsxDxivl/sOwZ7b9x4QxENrYIP5H5f4j7cIlmIx0gfn875C0Yw90zJX7j9QP9x9foNDfzqDKpilIfvoGSe7esB/WAXqlrRG+7wIAoNz/hkDXwQqvp2wCADiM7QZJUCRSvYMg0BXBtm9rWHdvhlejVhdnM/Ileuef+GrtDKQ980Xao1ewGNwZ4lI2iD2ofDyq3ewRENlZIWTWOgCAlWsPZARHQvI6EAKxCOa92sKsSwsETlwGAFBkSCHxUR0tJU9UjhjJXq5N7u74G73XT0SY51sEP3qNBoPbwayUFTwOKo8r2s0ZCBN7C5yaoXzUp+PwDkgMiUb0u1tByjSqhmZju+Hh3gtZ62w9rQ9CHr9GzNtw6JkYorFrR9jXKIe/f9hT5O37HE+2/40OGyYi0vMNwj18UfPdMdbzA8q+aPbdABjbW+Ci228AgNojnJAUEoM4X2VflGpcDfXHdYXnnvd9YVevEoztLRD1MgDG9pZo7NYHAoEAHlvPFn0Dieg/KV8JAIVC8e7+aFXJycnQ19cvcFAFFXD6PnQtTFDbrTcMbM0R7x2Ma8NWIyVEeWVK39YcRqWtP2udIkM9NFo+EoYOlpCnZyDRLxR3pmxFwGntzsi+PXMf+hYmqD+9NwxtzRHnHYwLw1cj+V1fGNiaw/gz+8LQzgK9LyzP+rvOhG6oM6Ebwu6+wrn+yzQavyalX7mKRDNTGI8cDqGVJWRv/RE3ey7kEcqkhY6VFYR275NairR0xLjNgpnbVFjv+BWZCYlIu3oNSdt2ZtURWlvBZs/7Z9wbDxkE4yGDIHn8BLFT3IqucR/x+++nYWVpgfnz3eDgYIsXL7zh3MMFgYHKIcgO9nYoU6ZUVn1//yA493DB2jWLMHHiCISGRsDNbQH++OPcZ71vw4Z1cfnS8ay/16xZBADYt+8YRo/Rjr4BgNSL16BjZgqzMS4QWltC6uePqGnzIA9XPttdaG0F4YcTJorFMJ8+HkIbaygkEkjfBCBy2jyk335/RVSgpwvziaMgKu2AzLQ0pN++j5gFK6FITsn+9loj5Z/r0DEzhfm4YRDZWCLD1x8Rk+dDFva+H0Qf9INALIbljHEQ2r7rB78AhE+ej7Rb7/shfvtBQKGAxeSRENpaIzMuAanX7yFu864ib19BpV++igQzU5iMUu4/pG/8ETtrLuThyv2HUN3+Y/q7/ceuX6FISETalWtI/G1nbm/xRYg+dQciCxOUmdEPurYWSPUKxMuhyyEJVl6tFttZQO+D7xQdXRHKLxwOXXtLZKZnINU7GC+HLkPc5ce5vYXWSvzrJsItTGA7ZRBENpaQ+AQgYNQiSEOVIzpENhbQLfX+9imBWAz7eaMgtrdCZnoGJK8D4T9qEZKvuat/gy/Ey7P3YGhhjNZTe8PY1hyRPsE4NHI1EkKU24CxrTnMSlll1RfoCNDuu4EwL2ODTFkm4gIjcPmnI/A4eCWrjr6pIbqtGANjGzNIklIR/iIAewf8iNCnb4q8fZ/j9btjrMbTesPI1hwx3sE4M2I1kt4dYxnZqR5jCQQCNJ87AKbv+iIhIBJ3Vh7F8wPv+0KoL0bT2f1hWtYG0lQJAq48wcXpW5GRmFrk7SOi/yaBIi/T9r/z7337P//8M8aOHQtDQ8Os1+RyOe7fvw+hUIjbt/M+dPZDB0sNy9dy/yVDQw9g51fsBwAYHXwAYS3bFncYWsHh1lWIdUsXdxhaQZoRgkBH9c9YLmnKul/G27pf9pMYNKHC04sIbc59BQCUunMVt+37FXcYWqFF+HE8r9i9uMPQCrXenMWSckOLO4xityDgIDaV4TEWAEwJOlDcIRBRMfmsEQCPHysz9gqFAs+ePYPuB88z1tXVRd26dTFr1izNRkhEREREREREBfZZCYCrV68CAFxdXfHzzz/D1NS0UIIiIiIiIiIiIs3Syc9Cu3fvVjn5T0xMxJ9//gkvLy+NBUZEREREREREmpOvBMCAAQOwefNmAEBaWhocHR0xYMAA1K5dGydOnNBogERERERERERUcPlKANy4cQOtWrUCAPzxxx9QKBSIj4/Hxo0bsXTpUo0GSEREREREREQFl68EQEJCAiwtLQEA58+fR9++fWFoaIhu3brh9evXGg2QiIiIiIiIiAouXwmAMmXK4O7du0hJScH58+fRsWNHAEBcXBz09fU1GiARERERERERFdxnPQXgX9OnT8fQoUNhbGyMsmXL4ptvvgGgvDWgdu3amoyPiIiIiIiIiDQgXwmASZMmoUmTJggMDETHjh2ho6McSFCxYkUsW7ZMowESERERERERUcHlOQEwY8YMteU3b97MUda8efP8R0REREREREREGpfnBMDjx4/zVE8gEOQ7GCIiIiIiIiIqHHlOAFy9erUw4yAiIiIiIiKiQpSvpwAQERERERER0ZeFCQAiIiIiIiKiEoAJACIiIiIiIqISgAkAIiIiIiIiohKACQAiIiIiIiKiEoAJACIiIiIiIqISgAkAIiIiIiIiohKACQAiIiIiIiKiEoAJACIiIiIiIqISgAkAIiIiIiIiohKACQAiIiIiIiKiEoAJACIiIiIiIqISgAkAIiIiIiIiohKACQAiIiIiIiKiEoAJACIiIiIiIqISgAkAIiIiIiIiohJAoFAoFMUdBBEREREREREVLlFxB/ChX8sMK+4Qit2EoAP4sdzQ4g5DK/wQcBC37fsVdxhaoUX4cXxt27i4w9AKryIf4KgDPyMAMDDsIBJHdyjuMIqd6c6L2MzvDwDAt0EHMKxcn+IOQyscCDiJG/b9izsMrdA6/Hfccehb3GEUu+ZhJ7CMx1gAgPkBB5GyaHBxh6EVjBYdLu4QiIoUbwEgIiIiIiIiKgGYACAiIiIiIiIqAZgAICIiIiIiIioBmAAgIiIiIiIiKgGYACAiIiIiIiIqAZgAICIiIiIiIioBmAAgIiIiIiIiKgGYACAiIiIiIiIqAZgAICIiIiIiIioBmAAgIiIiIiIiKgGYACAiIiIiIiIqAZgAICIiIiIiIioBmAAgIiIiIiIiKgGYACAiIiIiIiIqAZgAICIiIiIiIioB8pUAWLx4Mfz8/DQdCxEREREREREVknwlAE6cOIGqVauiadOm2Lx5M6KiojQdFxERERERERFpUL4SAJ6envD09ES7du2wbt06lC5dGl27dsWhQ4eQmpqq6RiJiIiIiIiIqIDyPQdAzZo1sXz5crx58wZXr15FhQoVMH36dNjb22syPiIiIiIiIiLSAI1MAmhkZAQDAwPo6upCKpVqYpVEREREREREpEH5TgC8ffsWy5YtQ40aNeDo6IhHjx5h0aJFCA8P12R8RERERERERKQBovws1KxZMzx48AC1a9eGq6srhgwZgtKlS2s6NiIiIiIiIiLSkHwlANq2bYsdO3agZs2amo6HiIiIiIiIiApBvhIAy5cv13QcRERERERERFSI8pwAmDFjRp5Xum7dunwFQ0RERERERESFI88JgMePH6v87eHhAblcjmrVqgEAfHx8IBQK0bBhQ81GSEREREREREQFlucEwNWrV7N+X7duHUxMTLB3715YWFgAAOLi4uDq6opWrVppPkoNqTncCXXHd4WhrTnifEJwe/EBhD/w/uRy9o5V0OP37xHrHYzjnecXQaSa1dDFCc3Gd4OJjTmiXofgn8X7EfRQfbvLOFZF+3mDYVXJAWIDPSQER+PRocu4v/O8Sj09U0O0nT0A1Ts7wsDUCPHBUbi49CB8rz4tiiZpjP3ITig9qQd0bS2Q6h2Etwv2IPH+K7V1TZvXRO2Ti3OUP2o5FWm+oYUdqsYNdu2LUZNcYGNnBV/vN1jx/Xp43H+itq6NrRXmLJ6OmnWro1zFMjiw/ShW/LA+13V37dUBa7ctw6W/r2PKiNmF1ALNqTzCCdUmdYOBrTkSfELweMF+RN//9L7BulFVtD35PRK8gnGhw//U1inTsyma/zoFwefdcds19z7TBuK2ztDr1B8Ccytkhvgj/chWyF8/z30BkRh6zsMgbtYeAlMLKOKiIfnrEKS3/smqouvUG+K2ztCxtIUiOQFS95uQnNgJyLT7kbG1hjuhwbvvi1ifENxcfABhuXxfODSqiubzBsGisgNEBnpICo7G84NX8HTH+/2mjkiIhpOdUb1/KxjZWSD+TRjurDiKwGueRdWkfHNy6Yyu43vC3MYCIa+DcGDxLng/VL+fdOzcBO2HdUa5GuUh1hUj+HUQTq4/imc3nqjUMzQ1RP/ZQ9Goc1MYmhohKjgSh5buwdOrj4qgRZrjMLIjykzqCV1bc6R4B8NvwW4k3vdSW9eseQ3UVfMd8rDltC/uO8R+RCeUmtRT+d3pE4S3C3YjKbfvzmY1Uevkkhzlj1tNRZpvCADAoGoZlJ0zCEZ1KkK/jC3eLtiFsO1/FWobNKWhixOaju8G43fHWBc/coz1lWNVtMt2jPX40GU8UHOM9c27Yyz9d8dYl5YehJ+WH2OJGnWAuHl3CEzMkRkZjIzz+5AZqL4vdHtNgLhemxzlmZHBSNuS87hBWKsZ9PtNhczrISRHONKYqCDyNQfA2rVrceHChayTfwCwsLDA0qVL0bFjR8ycOVNjAWpKJecmaL5wGG7O34Nwdx/UGNoO3fbNxtF23yE5NCbX5XRNDNB2wwSE3H4BA2uzIoxYM2p0b4pOC1xw7ofdCHb3QYMh7TBk7xxsdZqDRDXtlqZJ8HDvBUS+CkRGmgRlG1VD1+WjkJEqwePDyiSQjliIYQfmIiUmEccnbkRSWCxMHSyRkZJe1M0rEOuezVFhyUi8mbsDiQ+9YO/SATUO/Q+PWrshIyQ61+U8mk+BPCkt629pTGJRhKtRXXo6Ye6PM/Djd6vw6MFTDBzeG78d2QDnlgMRFhKRo75YTxexMXH4bcNuDB8/+KPrLvWVPWYvmgr3u48/Wk9blOnRFPWWuODRvN2IeuiDyi7t0PrgHJxvMwepIbnvG8QmBmiycQIibr2Afi77BsOvrFFvwVBE3lN/QqBNRI3aQH/QRKQf2AS57wuI23SD4fTlSP5hNBSxUWqXMZjwPQSmFkjbvRaZkaEQmJpDoCN8v84m7aDXbwzSdq+B3PcldOy/gsEo5YGd5OivRdKu/Kjs3AStFg7D9fl7EObug5pD28F532wcyuX7Qpoqgefei4h5FQhpqgQOjaqh7UpXyFIleHFIud9sMrsfqvVpgatzdiLOLxRl29RB1+3TcbzXYkS/CCjqJuZZk+4tMGyBK/b8sB0+7q/QbkgnzN77Pb5zmoaY0Jz7yeqNa+L5zaf4fdVBpCSmoE3/dpi5cx4W9pqLgBdvAQBCsQhzDyxCYkwCfp64GrFhMbBysEL6F/YdYtOzOSotcYXv3O1IeOgNB5cOqH1oPtxbu0Hyke+Qh82nQvYFf4dY9WiO8ktc8WbediQ99IKdS0fUODgfj9tM/+h356MW3+b63Sk00EV6QASiz9xBhcWuhRq/Jn3dvSk6LHDB+R92I+jdMdagvXPw20eOsdzfHWNJ0yQo06gauiwfBWm2Y6whB+YiNSYRJyZuROIXcowlrNkUup2HI+OvXZAHekPs6AT9YXOR9sssKBJy9kXG33shvXT4fYGOEAYTVkL28l6OugIza+h2HAp5gPokExF9Hp38LJSYmIiIiJwnCZGRkUhKSipwUIWhztgu8Dp6DV5HriHeNxR3Fh9AcmgMari0/+hyrVeOgu+fdxHh4VtEkWpW0zFd8PjoNTw5cg3RvqG4sOQAEsNi4DjMSW398BcBeHH6LqJehyAhOBrP/riNNzeeoWzj6ll16g34Bvrmxjg2dj2C3X2QEBKNIHcfRLwKLKpmaUSp8c6IOHwFEYcuI+31/9u776iojrcP4N9dWOrSu4oiIgQEBGPXABbUGEtijWIhGpOoUWOJ5RdbNMYosSSGaDRRgyJqLDH6WkjEFisd6U2KFJGlirTdnfcPYGEpggjsEp7POZwjc+9dnme8d2bu7C1peLLxKErTBDCZO+qV25Vn56P8eZ7kB2Jx2wTcguZ+NhPnTvyFM94XkBiXhO0b9iAz7Rk+dJ9c7/rpqRnYvn43Lpy+jBcFLxr8XC6Xi537t+CnnYeQmpzWWuG3KKtP38UTn5tIPHEThXHpCN54HMXpAvSYW/8xUqXvzvlIPn8PgoC4epdzuBwM9FyE8O/PoCg5qzVCb1HKoyaj/M5VlN+5AnFGCkpP7oc45zmUXMbXu76CbV8oWtnj5Q9fQRQVDCZ4BvGTGIgSIiXrKPawgSg+AsKHN8AEzyCKCET5wxtQMLNsq7SaxWHBu4g8dRORJ28iNz4d/1b2F3YN9BfZEcmIu3AfObFpKHyajdjzd5Fy6zFM+ltJ1nlr8lAE/vQXkm+EoiDlOcKPXUfKrTA4fjK2rdJqlnc/Ho+bp67j5sl/kB6fhuNbDkOQIcCIWaPrXf/4lsP4v1/+RGJYPJ4lZeC0hzcykzLgOKKvZB3nacOhrs3HngXfIS4gGoK054gNiEZKVFIbZdUyOn86Dpk+fsg84YfiuDQkbjyK0rTsRvuQsnbeh3T6dDyyfPyQVdl3Jm08gtJ0AYzn1r9PVHlV3/kiNAHJW70guHAX4jL5vjqopgEfv4uQyjGWID4df1eOsfo0MMZ6FpGMyL/uI7tyjBVeOcYyrTXGUtXm44/KMVZBWjaeBsQiS87HWLxB70EYdAPCoBtg2ekou+oFli+AYl/X+jcoLQZ7kS/54XYyB1TVIQy+Jb0ehwPlyYtRfuMMxLny35cS0h40awLggw8+wEcffYQzZ87g6dOnePr0Kc6cOYP58+dj0qRJLR3jG+PyFGBg1x2pt6UvZX16OxzGfXs2uJ3VNCdodjNCwJ5zrR1iq+DyFGBi1x2Jdx5LlSfcfowubzecd03GvbqhS5+eSK5xaZ+lax+kBcXh3a3uWB7wMz71/Q5DFk8Ah8tp0fhbE4enCL69OfJuSl9Ol3crFBr9rBrYqxm17AAALTZJREFUqoLDPx7oF3oIvf7YBK0h7e9VmDyeInr1fgt3bz6UKr978yEc+9m/0WcvWjUfuYI8nD3x1xt9Tlvh8hSgY98dmbekj5HMW4+h/4q2oft0J/DNDBGxq+G2wWbFJJQKCvDE51aD68gNBUVwu1lCGBEoVSyMDISCRf37OM9hEERJsVAeMw38732gvu0IlKd9AvCUqrePD4dCt57gdq84pjj6xlC06w9h2MN6P1MecHkKMKynv0htpL+oSb9XNxi/3RPpNa78UFBShLBE+sRGWFIOk37yOxmiwFNEd7seCL8j3U6G3w5Bz7ffamAraRwOByrqqijKr5447OPaD/FBMZi7dQE8Aw5ju+9eTFg8GRxus4YkMsHhKULD3hy5tfqQ3Fth0GykD3n7Hw8MCD0Iuz82trs+pKLv7IG8WyFS5Xm3QqHR99V59/77e/QN+RU2pzdBc7BtK0bZNqrGWE9qjbESX2OMZVQ5xkqpMcbq6doHT4PiMGarO5YF/IwFvt9hsLyPsRQUwO3UHaIE6VuaRAlhUDBtWhun6OgCcWI4WL70VSQ858lgRYUQBt9soWAJIc26BeDAgQNYtWoVZs2ahfLyigGNoqIi5s+fDw8Pj0a3Ly0tRWlpqVSZsrJyc0JpEhVdDXAVFVD8PF+q/GV2PkwNtOvdRsvMCAPWTseFyVvBRO1rdr6Kmk5F3kXZ0nkXZeeDb/Dq2xmWPdgHtcp6u733LEJO3pQs0zE1hPYgGzy+cA8+7juh190YY7a6g6uggDs/nm+NVFocT1cDHEUFlNfaJ8qf50OpgX2i/Fku4lcewIuwBHCVeDCY6oRef2xC+KRNKHjQfi5L09bVhqKiIrKfS1+SJ3ieA31DvWZ/rmN/e0yeOQEfDJ/1piG2GaXKfbyk1n5Q8jwfKg0cI/zuRrD/6kNcf39Lg22Dfj9LmM9wwTXXdS0ec2vgaGiBo6AAVpArVc7yc8Gx1al3G66+CRR62oKVl+Gl52Zw+VpQmbUEHHUNlBzZBQAQPrqJEr4W1NfuAcABR1ERZTf+QtmVU62dUrOpVu4TL+vpL9QaaBuquD/6EaqVbcujPecQWaPdTLn1GA4L3kX6w2jkJ2fBdGgvdB/VB1w5PunV0NGAgqIC8rPzpMrzs/Oh3UhdVBn7yQQoq6ng4aV7kjJDUyPoD7LDvQu34eH+DYy7m2Du1k/AVeDizx//aMEMWk91H5InVV72PA86DdRN2bM8xK48gBdhieAo8WA01Qn2f2xE2KTNyG8nfYhig31nXoN9Z1lWLuJX7UdRWAI4SjwYTnFGrz82IWLyJhQ8iKx3m/agaoz1ohljrCU1xlh3ao2xtE0NYTbIBuEX7uGU+07odjfG6Mox1r9yOsbiqGmCw1UAK5KuC1aUDw6/8dtnOXxtKPR0QOnZn6TKuaaWUOzjguID7aMvJaS9aNYEgJqaGn7++Wd4eHggISEBjDFYWFhAXV29Sdtv374dX38t/SCcTZs2wbg5wbwOxqR+5XAAVqsMqLh0d8RPixGw+yzyn2S2dlStrnaOHA6ndlXU8fvULVBSU0FnRwsMXzsdOUnPEPHX/YrtuRwUCQrwf2t/BRMzZIYngW+kg0GfvtduJgAkalcEp25RleKEdBQnVD+oqTAwFsqd9NF54YR2NQEgUTt1Dqfe46Ep1NTVsNNzCzau+BZ5OfmNbyBv6uwH9X/TwuFyMOjnxQj//ixeJNbfNiiqq2DATwvh/+WvKMtp+HYJ+VRPPTS0T3C5AGMoPrQdKH4JMYCSU79AdeEGlBzfB5SXQcHKHsrjZlY8VyAxClzDzlCZsQhK43JQdsm71bN5I/W0DY01nGcnb4WSujKMHC0weN105Cc9Q9yFinbz9qZjGL5zPtxuegCMIT85C1Gnb8N6mlMrJdBy6rQLDfSdtQ2aMBQffDEdez7+DgWC6naBw+WiQJCP39YeABOLkRSeCB0jXbz36fvtZgKgSp1qeMUxU38foocuCye0mwmAKnX3CU7t1kOiJCEdJTXyfhEYC6VO+uj02YR2PQEg0YwxlleNMdawyjFWZK0x1uV6xljyOgEgUSdvTn2FdSg6OAMlLyGK9q8uVFKB8qTFKPvrEPBSPm8vJqS9atYEQJWMjAxkZGTAyckJqqqqYIyB08DAuaZ169ZhxYoVUmXKyso48tv8NwmnQSU5hRALRVA11JYqV9XTQnF23ZMVHl8Vhr3Nod+rG4ZunQugokHmcLn45MnvuOS2A+n35L/TeplbkTe/1qy8mp5mnasCastLrXjoV1ZMKtQNtOD8xSTJBMCLrDyIhCIwcXWjnh2fDg1DHXB5ChCXi1o2kVZQnlMIJhSBV2uf4OlrobzWt12vUhgYC4PJ8j+ArykvJw9CobDOt/26+joQPM9p1md27d4ZXbp1ws/Hd0nKqr7ZfJx+D2MHT0Vqkvw9E6Cssm1QqbUfqOhr1rkqAAAU+arQdegBbVsz9Nkm3TZMTfXCrQ+/Q1leEfhdDfHO79UPQ626dHNqqhcuD10ld88EYIX5YCIROJq6UuUcTW2wgrx6txHnCcDNzQaKX1aXZaSAw+WCq2MAcVYalN93R/n9f1B+50rF8rQklCqrQGXOFyj7vxONnlDLQnHlPqFWa59Q09PCy0bazcLKdlMQ/RRqBlrov3ySZAKgJKcQlz/eCwVlHlR0+CjKzMWgddNRkFL/AxblQWFuIURCEbQNpK8C0dLTQn4jdTFg3BB8vHMx9i36HhF3pS8LzsvKhUgoBKtxD3ha/FNoG+pAgacIUbmw5ZJoJVV9iFKt/URJXwtljdRNTQWBcTCaLL9vT6pN2EDePH2tOldDvEphUPvrO2t7kzFWfmVb8bxyjOX0xSTJBMCLrDyIa42xBPHp4MvxGIu9LAATi+p8289R1wR70fhDLhUdnSEMvQOIqnPj6hqBq2MI5Zk13ghQeY6htvE4ivetAKNnAhDSLM2aABAIBJg2bRpu3LgBDoeDuLg4mJub4+OPP4a2tjZ27dr1yu2VlZVb9ZL/2sTlIjx//ASm79gi6WqApLzzO7ZI8g2ss35ZYTFOjVwrVWY7ZyQ6DbaB72c/olCOB2w1ictFyHj8BObv2CLmWnXe5u/YIbaevBvC4QAKSjzJ76kBsbCdOFjqmw697sYofJYrlx1TfVi5EC/CEqHtbI+cK48k5drO9si56v+KLaWp23VHWVZu4yvKkfJyISJCozHYuT/+uXxTUj7YuT/8rt5u1mcmxiVjgtOHUmVL1y2Euroatq/fhcx63iwgD8TlIuSGPYGxky3SrlQfI0ZOdki7VvcYKS8sxlWXNVJlFu4jYTi0F+59/ANepDwHE4vrrGO7dip46ioI3nAMxa9464jMiIQQJ8dCsVcfCIPvSooVbfpAGHyv/k3iI8Dr6wQoqwClFU+n5hp1BhOLIM6taCM5Ssp1TvKZWFw5iGvaN0NtTVwuQlZlf5FYo78wfccWT16j3QSHAwWlul2sqLQcRZm54CoqoMfY/oi/JL/PQxCVC/HkcQJs3+mNgGvVcdq+0xuBvo8a3G7QhKFY4LEYnkv2IMSvbp3FBURj0MR3pK46MuneCbnPctrFyT9Q0YcUhiVCx9keglp9iOA1+hC+XXeUZeW1QoSto6LvTIC2U2/pvtPJHjnXXiNv2+4of9a++s7aqsZY3WuNsbq/4RjraUAsetUaY+nK+xhLJII4/QkUethDFF1dFwo97CCMfnVdcM2swdUzQUmw9Kv9xNnpeFnrdYBKw6eBo6SK0qu/gxXIYV9KSDvRrAmA5cuXg8fjISUlBdbW1pLy6dOnY/ny5Y1OAMhC2KErGL53IbLCEvEsMB42bsOg0VkPkcevAwD6r5kGdWMd3Fj+C8AYcmOeSm1fnF0AUWl5nXJ59+DXK3h/z0Kkhz1BWlAcHGcMh1YnPQR6V+Q9fPV0aBjr4MKKildy9Z3jivy0bAgqL9cz7WeFgQveg//vvpLPDDz+D/q5j8LozbPhf9QXut2NMWTxRPgfvVY3ADmW/stF9Ny3BC9CE1EYEAPjWa5Q7qyPTK+KXLv9byaUTPQQt2QfAMBkwXsoTc3Cy5hUcJQUYTjZCfrjBiFqXuPPvZA3vx84ge88v0Z4SBRCAh5j2uwPYNLFGKd+r3io3fKvFsHIxBBrP98s2eYt24qHGqmpq0FHXwdv2fZEeZkQCbFPUFZahrjoRKm/UZhfccle7XJ5E/PLFQzYtxA5oU+QHRiHHrOGQ62zHhK8Ko4Ru/9Nh5qxDh4uPVBx6XatNqAkuwCiknKp8trrlOe/rLdcnpT6noXqx2sgSoqFKCEKPKex4OoaouzWJQCA8qR54Ojoo+S3nQCA8od+UB7vBtV5X6L0z9/B0dCC8tRPUP7vNaC8DAAgDH0ApVGTIUqJhygxGlzDTlB5fy6EIfcBJr/PVgk5dAWulf1FZmA8erkNA7+zHsIr+4tBlf3FP8t/AQDYzR2JwjQBcivf5d6pvxUcPxmLsKPV7aaRQw+oG+sgOzIZ6sa66L98EjgcDoL2X2r7BF/DlV8vYuGepUgMi0d8UAyGzRgFvU76uO5dkdu01W7QMdbDLyt+BFBx8v/p7qU4/vVhxAfHQqvy29GykjIUF1YcB/8cvwpX97GYvXk+fI/+H4y7d8KExZNx7Wj7eO97lbRfLsFq3xIUhiagICAWJrNGQqWzPjIq+xCz/82EsokuYpZU3NfcecFYlKQ+R1FMKriVfYjBuIGIaGd9SEXfuRQvQhNQGBgDo8q+81ll3l3/5wYlY13EL63Zdz6v6Dt5ijCY4gS9cYMQPX+n5DM5PEWoWnYBAHB5ilAy1oNaLzOIi0pQkiS/t2I+/PUKJu5ZiIywJ3haY4wVVDnGcqkcY12sHGO9PccVBWnZyK4xxhqw4D0E1Bpj9XUfhVGbZyOgcow1ePFEBMj5GKv8/v9BedJiiNMTIUqNBe/tEeBo6UMY8A8AgDfiQ3A0dVB2fr/UdjzHYRA9jQPLqtU/CsvrlLGSijakzrqEkNfSrAkAX19fXLt2DV26dJEq79mzJ5KT5fN9xgkXH0JFRwN9l30ANUNt5MQ8xeW5HnhR+Z5vdSNtaHTWl3GULS/y0gOo6vDhtPQD8A218Tz2KXzcPZBf+a5evqE2NDtVXwrO4XIwfM10aJsaQCwUIzflGfx2nESgt59knYKMHHjP/g6jNszGp1e3o+BZLh4duYp7+y+2eX5vIvvCPSjqaMB0xRQoGergZXQKIt2+RenTirrhGelAucY+wVVShNmmOVAy1oW4pAwvY54i0m0bcq+3j/fd13Tlwj/Q1tXCopXzYWCkj7joBHw2YznSn1YMtAyM9GHS2Uhqm/N+1fds2zpYY/zkMUhLScfIvu+3ZegtLvWvB1DW4aPXig+gYqiN/JinuDPLAy8r9wNVQ22odW7+wxHbC6H/LZTwNaE8fhY4WroQpyXh5Q9fgQkqLrHkaOuBq2tYvUFpCV7uWguVmYuhvsETrKgA5f63UXr+SPUql7zBwKDyvjs4OvpghfkQhj5AybnDbZ3ea4mv7C/6LfsA6obaEMQ8xaW5Hiis7C/UavUXHA4Hg9ZOg2Zlu5mfnIX7351C+PHqdlNBhYeBX06FZlcDlL8sRbJfCP75Yj/KCl7W+fvy5OGlu9DQ0cAHS6dB21AHT2NT4OG+DYK0iqs8tA11oN+pui6GzxwFRZ4i3L/5BO7ffCIpv/2HHw6uqjgRzskQYMfsrzFrwzx8e3UPcp/l4NqR/8PF/XJ+f3Mtzy/cg6IOH90q+5Ci6FSE1+hDlGr1IRwlRZhL9SGpeOz2bbvrQwR/3QNPRwNdVkyt6DtjUhA161uUPq3YJ5QMa+XNU0S3jdV5F8emItJtG/L8giTrKBnpwOGf6i+POi+aiM6LJiL/XjgiJm9qu+ReU9SlB1DT4WNojTHWSXcPFNQYY2nVGmO51Bhj5aU8w40dJxFUY4xVmJEDn9nfwXXDbCy4uh2Fz3Lhf+Qq7sv5GEsU8QBlahrgOU+CEl8b4qxUlHjvkDzVn6OhDa5WrXG2sioUbPqj7IqXDCImpOPisGY89UtDQwNBQUHo2bMnNDQ0EBoaCnNzc/j7+2PMmDEQCJp3Wc4B0/bz9PDW8lnqcWzt5ibrMOTChmRv3DWeIusw5MKQzDOwNuwv6zDkQlTWI5wyoWMEAKZneKNgfgPvWO5ANH/7Gz9R/wEA+Dz1OGZ1k7/X8crC8eRzuG08VdZhyAWnzD9wz2SyrMOQucEZZ7GNxlgAgK+SvVG0eYasw5AL6pt9ZB0CIW2qWe8fcnJygpdX9Wwdh8OBWCyGh4cHhg0b1mLBEUIIIYQQQgghpGU06xYADw8PuLi4ICAgAGVlZVi9ejUiIiKQk5ODu3fvNv4BhBBCCCGEEEIIaVPNugLAxsYGoaGh6N+/P1xdXVFUVIRJkyYhODgYPXr0aOkYCSGEEEIIIYQQ8oaadQUAAOjo6OC9995Dv379IK58l6+/f8UrYCZMmNAy0RFCCCGEEEIIIaRFNGsC4OrVq5gzZw4EAgFqP0OQw+FAJJLT95QSQgghhBBCCCEdVLNuAfj8888xdepUpKenQywWS/3QyT8hhBBCCCGEECJ/mjUBkJWVhRUrVsDIyKjxlQkhhBBCCCGEECJzzZoAmDJlCm7evNnCoRBCCCGEEEIIIaS1NOsZAD/99BOmTp2KO3fuwM7ODjweT2r50qVLWyQ4QgghhBBCCCGEtIxmTQCcOHEC165dg6qqKm7evAkOhyNZxuFwaAKAEEIIIYQQQgiRM82aAFi/fj22bNmCtWvXgstt1l0EhBBCCCGEEEIIaUPNOnsvKyvD9OnT6eSfEEIIIYQQQghpJ5p1Bj937lycOnWqpWMhhBBCCCGEEEJIK2nWLQAikQg7d+7EtWvXYG9vX+chgLt3726R4AghhBBCCCGEENIymjUB8PjxYzg6OgIAwsPDpZbVfCAgIYQQQgghhBBC5EOzJgBu3LjR0nEQQgghhBBCCCGkFdFT/AghhBBCCCGEkA6AJgAIIYQQQgghhJAOgCYACCGEEEIIIYSQDoAmAAghhBBCCCGEkA6AJgAIIYQQQgghhJAOgCYACCGEEEIIIYSQDoAmAAghhBBCCCGEkA6AJgAIIYQQQgghhJAOgCYACCGEEEIIIYSQDoAmAAghhBBCCCGEkA6AJgAIIYQQQgghhJCOgBHGGGMlJSVs06ZNrKSkRNahyBzVRTWqiwpUD9WoLqpRXVSjuqhA9VCN6qIa1UU1qotqVBcVqB5IW+MwxpisJyHkQUFBAbS0tJCfnw9NTU1ZhyNTVBfVqC4qUD1Uo7qoRnVRjeqiAtVDNaqLalQX1aguqlFdVKB6IG2NbgEghBBCCCGEEEI6AJoAIIQQQgghhBBCOgCaACCEEEIIIYQQQjoAmgCopKysjE2bNkFZWVnWocgc1UU1qosKVA/VqC6qUV1Uo7qoQPVQjeqiGtVFNaqLalQXFageSFujhwASQgghhBBCCCEdAF0BQAghhBBCCCGEdAA0AUAIIYQQQgghhHQANAFACCGEEEIIIYR0ADQBQAghhBBCCCGEdAA0AQDg6NGj0NbWlnUYpIW5uLjgiy++aPb2SUlJ4HA4CAkJabGY5FlHy5cQ0nJqtrdmZmbYu3evTOMh7dvmzZvh4OAg6zDqaGxc0dL7/puOY9pSe4q1PaL6JS2JJgAATJ8+HbGxsbIOg7Swc+fOYevWrbIOgxBCOhR/f3988sknsg6jVXXkwXhLn+RyOBz8+eefUmWrVq3C9evXW+xvEPnR3GPH3d0d77//fovHQ0hHpCjrAGStvLwcqqqqUFVVlXUopIXp6urKOgRC/nPKysqgpKQk6zCIHDMwMJB1CETGRCIROBwOuNzmfc/E5/PB5/NbOCpCCCHAf/QKALFYjB07dsDCwgLKysro2rUrtm3bJrnE+fTp03BxcYGKigqOHz9e5xaAqkvPDh8+jK5du4LP52PhwoUQiUTYuXMnjI2NYWhoiG3btskuyTdUVRe1f1xcXCT1ce3aNVhbW4PP52PMmDHIyMiQddivpfYlqd9++y3mzZsHDQ0NdO3aFQcPHpRa/9GjR3B0dISKigr69u2L4OBgqeX13Sry559/gsPhSH4PDQ3FsGHDoKGhAU1NTbz99tsICAholfyaq6Hjo0piYiKGDRsGNTU19O7dG/fv35csEwgEmDFjBrp06QI1NTXY2dnBx8dH6vPPnDkDOzs7qKqqQk9PDyNHjkRRUVGb5ddcLi4uWLp0KVavXg1dXV0YGxtj8+bNkuUpKSmYOHEi+Hw+NDU1MW3aNDx79gwAEB0dDTU1NZw4cUKy/rlz56CiooLHjx+3dSotysXFBZ9//jlWrFgBfX19uLq6gsPh4Nq1a3B0dISqqiqGDx+OrKwsXLlyBdbW1tDU1MSMGTPw8uVLWYf/xq5evYqhQ4dCW1sbenp6GDduHBISEiTL7927BwcHB0m7UdUm1LyVJjIyEmPHjgWfz4eRkRFmz56N7OxsGWTTMoqKijBnzhzw+XyYmJhg165dUstrf0O8efNmdO3aFcrKyujUqROWLl3axhG3LHd3d9y6dQs//PCDpO9MSEjA/Pnz0b17d6iqqsLKygo//PCDZJuSkhL06tVL6sqIJ0+eQEtLC4cOHZJFGg2qOuY///xzyX6/fv16MMbg4uKC5ORkLF++XJI7UN0/Xrp0CTY2NlBWVkZycjL8/f3h6uoKfX19aGlpwdnZGUFBQZK/ZWZmBgD44IMPwOFwJL/XvgVALBZjy5Yt6NKlC5SVleHg4ICrV6+2VZVIEQqF9dZNfXbv3g07Ozuoq6vD1NQUixYtwosXL6TWuXv3LpydnaGmpgYdHR2MHj0aubm59X7e1atXoaWlBS8vrxbPqyX9/PPP6NmzJ1RUVGBkZIQpU6YAqP/YSUpKgkgkeuXxs3nzZvz++++4cOGCZLubN2/KKDtpLi4uWLJkCb744gvo6OjAyMgIBw8eRFFRET766CNoaGigR48euHLlimSbxvqExtrYdevWYeDAgXVisbe3x6ZNm1ovWfLfwf6DVq9ezXR0dNjRo0dZfHw8u3PnDjt06BB78uQJA8DMzMzY2bNnWWJiIktLS2NHjhxhWlpaku03bdrE+Hw+mzJlCouIiGB//fUXU1JSYqNHj2ZLlixh0dHR7PDhwwwAu3//vuwSfQNCoZBlZGRIfoKDg5menh7bsGEDO3LkCOPxeGzkyJHM39+fBQYGMmtrazZz5kxZh/1anJ2d2bJlyxhjjHXr1o3p6uoyT09PFhcXx7Zv3864XC6LiopijDH24sULZmBgwKZPn87Cw8PZxYsXmbm5OQPAgoODGWOszn7CGGPnz59nNQ+jXr16sVmzZrGoqCgWGxvLTp8+zUJCQtoi3SZr7Ph466232KVLl1hMTAybMmUK69atGysvL2eMMfb06VPm4eHBgoODWUJCAvvxxx+ZgoICe/DgAWOMsfT0dKaoqMh2797Nnjx5wsLCwpinpycrLCyUZcpN4uzszDQ1NdnmzZtZbGws+/333xmHw2G+vr5MLBYzR0dHNnToUBYQEMAePHjA+vTpw5ydnSXbe3p6Mi0tLZaUlMTS0tKYrq4u27Nnj8zyaSnOzs6Mz+ezL7/8kkVHR7P9+/czAGzgwIHs33//ZUFBQczCwoI5OzuzUaNGsaCgIHb79m2mp6fHvvvuO1mH/8bOnDnDzp49y2JjY1lwcDAbP348s7OzYyKRiBUUFDBdXV02a9YsFhERwS5fvswsLS2l2o309HSmr6/P1q1bx6KiolhQUBBzdXVlw4YNk21ib2DhwoWsS5cuzNfXl4WFhbFx48YxPp8v1d5W7ft//PEH09TUZJcvX2bJycns4cOH7ODBg7ILvgXk5eWxQYMGsQULFkj60JKSErZx40b26NEjlpiYyI4fP87U1NTYqVOnJNsFBwczJSUldv78eSYUCtmQIUPYxIkTZZdIA6qO+WXLlrHo6GhJLgcPHmQCgYB16dKFbdmyRZI7Y0wybhg8eDC7e/cui46OZi9evGDXr19nx44dY5GRkSwyMpLNnz+fGRkZsYKCAsYYY1lZWQwAO3LkCMvIyGBZWVmMsYpxWO/evSUx7d69m2lqajIfHx8WHR3NVq9ezXg8HouNjZWbumFMet9njLE9e/YwPz8/lpiYyK5fv86srKzYwoULJcuDg4OZsrIyW7hwIQsJCWHh4eFs37597Pnz55K/V3Vc+fj4MA0NDfbnn3+2Wb6voypWf39/pqCgwE6cOMGSkpJYUFAQ++GHHxhj9R87QqGQlZWVvfL4KSwsZNOmTWNjxoyRbFdaWirLdCWcnZ2ZhoYG27p1K4uNjWVbt25lXC6Xvfvuu+zgwYMsNjaWLVy4kOnp6bGioqIm9QmNtbGPHz9mAFh8fLxkm/DwcAaAxcTEtHUVkHboPzcBUFBQwJSVldmhQ4fqLKs6wdm7d69UeX0TAGpqapIOijHGRo8ezczMzJhIJJKUWVlZse3bt7d8Em2suLiYDRgwgI0bN46JRCJ25MiROg2Lp6cnMzIykmGUr6/2BMCsWbMky8RiMTM0NGT79+9njDH2yy+/MF1dXVZUVCRZp+pE53UmADQ0NNjRo0dbJ6EW0JTj49dff5WURUREMACSiZL6jB07lq1cuZIxxlhgYCADwJKSklo++Fbm7OzMhg4dKlXWr18/tmbNGubr68sUFBRYSkqKZFlV3Tx69EhS9t5777F33nmHjRgxgrm6ujKxWNxm8bcWZ2dn5uDgIPn9xo0bDAD7559/JGXbt29nAFhCQoKk7NNPP2WjR49u01jbQtUJy+PHj9n+/fuZnp4eKy4uliw/dOiQVLuxYcMGNmrUKKnPSE1NbbcDtcLCQqakpMROnjwpKRMIBExVVbXeCYBdu3YxS0tLVlZWJoNoW0/N/qUhixYtYpMnT5Yq27lzJ9PX12dLlixhxsbGkhM9eeLs7Mysra2l2q81a9Ywa2trxljdk1zGmGTc0NiEt1AoZBoaGuzixYuSMgDs/PnzUuvVngDo1KkT27Ztm9Q6/fr1Y4sWLXqNzN5cc+qmptOnTzM9PT3J7zNmzGBDhgx55d9btmyZZILZz8/vzZNoJVWxnj17lmlqakqNoetbrzG1j5+5c+fK7YRZzbGDUChk6urqbPbs2ZKyjIwMyZeGjfUJTWljGWPM3t6ebdmyRfL7unXrWL9+/VohQ/Jf9J+7BSAqKgqlpaUYMWJEg+v07du30c8xMzODhoaG5HcjIyPY2NhI3c9mZGSErKysNwtYDsyfPx+FhYU4ceKEJD81NTX06NFDso6JiUm7z9Xe3l7ybw6HA2NjY0lOUVFR6N27N9TU1CTrDBo06LX/xooVK/Dxxx9j5MiR+O6776QuFZYHTTk+ataTiYkJAEjqSSQSYdu2bbC3t4eenh74fD58fX2RkpICAOjduzdGjBgBOzs7TJ06FYcOHWrwUkZ5VDN3oHq/j4qKgqmpKUxNTSXLbGxsoK2tjaioKEnZ4cOHERYWhqCgIBw9elTq9pD2rL42s2ZdGRkZQU1NDebm5lJl7b3NAICEhATMnDkT5ubm0NTURPfu3QFU3BISExMDe3t7qKioSNbv37+/1PaBgYG4ceOG5J5mPp+Pt956S/LZ7U1CQgLKysqk2kddXV1YWVnVu/7UqVNRXFwMc3NzLFiwAOfPn4dQKGyrcNvUgQMH0LdvXxgYGIDP5+PQoUOStrHKypUrYWVlhX379uHIkSPQ19eXUbSvNnDgQKn2a9CgQYiLi4NIJGpwGyUlpTptaFZWFj777DNYWlpCS0sLWlpaePHiRZ16eZWCggKkp6djyJAhUuVDhgyRan/byuvUzY0bN+Dq6orOnTtDQ0MDc+bMgUAgkNwWFxIS8sr+GADOnj2LL774Ar6+vhg2bFjLJtMKXF1d0a1bN5ibm2P27Nnw9vZu0u1gTTl+5FXN/V5BQQF6enqws7OTlBkZGQGoOB4a6xOa2sa6ubnB29sbAMAYg4+PD9zc3FotR/Lf8p+bAGjKw/zU1dUbXYfH40n9zuFw6i0Ti8WvF6Cc+eabb3D16lX89ddfUhMe9eXKGrjHrb141f9fU3Ljcrl11isvL5f6ffPmzYiIiMB7770HPz8/2NjY4Pz5828YectpyvFRs56qBjlV9bRr1y7s2bMHq1evhp+fH0JCQjB69GiUlZUBqOj4/v77b1y5cgU2NjbYt28frKys8OTJk1bIpuU1tI8wxuo9ma9dHhoaiqKiIhQVFSEzM7PV420r9bWZtfeT/2L7CADjx4+HQCDAoUOH8PDhQzx8+BBAxcMQ69svarcRYrEY48ePR0hIiNRPXFwcnJyc2iyPlvK6/YCpqSliYmLg6ekJVVVVLFq0CE5OTnXazvbu9OnTWL58OebNmwdfX1+EhITgo48+krSNVbKyshATEwMFBQXExcXJKNrWoaqqWud4cHd3R2BgIPbu3Yt79+4hJCQEenp6deqlKeo71uR5kjU5ORljx46Fra0tzp49i8DAQHh6egKoHjs0pU92cHCAgYEBjhw50i7GYRoaGggKCoKPjw9MTEywceNG9O7dG3l5eQ1u09TjR141ds5QcyzVWJ/Q1P/jmTNnIjY2FkFBQbh37x5SU1Px4YcftlxS5D/tPzcB0LNnT6iqqtLrY5rg7Nmz2LJlC06fPi31bX9HZGNjg9DQUBQXF0vKHjx4ILWOgYEBCgsLpR5oV/NBX1UsLS2xfPly+Pr6YtKkSThy5Eirxf263vT4uHPnDiZOnIhZs2ahd+/eMDc3rzOI5XA4GDJkCL7++msEBwdDSUlJriZBmsPGxgYpKSlITU2VlEVGRiI/Px/W1tYAgJycHLi7u+Orr77CRx99BDc3N6n9ibQ/AoEAUVFRWL9+PUaMGAFra2upK1reeusthIWFobS0VFJW+6Gfffr0QUREBMzMzGBhYSH105TJaHljYWEBHo8n1T7m5ua+8lW6qqqqmDBhAn788UfcvHkT9+/fb/cPx1RSUpL6xvfOnTsYPHgwFi1aBEdHR1hYWNR7hce8efNga2sLLy8vrF69GpGRkW0ZdpPV7v8ePHiAnj17QkFBoU7ur3Lnzh0sXboUY8eORa9evaCsrFznAZg8Hu+Vn6epqYlOnTrh33//lSq/d++epP1tS6+qm5oCAgIgFAqxa9cuDBw4EJaWlkhPT5dax97evtH+uEePHrhx4wYuXLiAJUuWtEwSrUxRUREjR47Ezp07ERYWhqSkJPj5+QGoe+wATTt+Xme/k2eN9QlNbWO7dOkCJycneHt7w9vbGyNHjpRcaUBIY/5zEwAqKipYs2YNVq9eDS8vLyQkJODBgwf47bffZB2aXAkPD8ecOXOwZs0a9OrVC5mZmcjMzEROTo6sQ5OJmTNngsvlYv78+YiMjMTly5fx/fffS60zYMAAqKmp4X//+x/i4+Nx4sQJHD16VLK8uLgYn3/+OW7evInk5GTcvXsX/v7+MhmgNORNjw8LCwv8/fffuHfvHqKiovDpp59KfdP98OFDfPvttwgICEBKSgrOnTuH58+fy1UdNMfIkSNhb28PNzc3BAUF4dGjR5gzZw6cnZ0ll8d/9tlnMDU1xfr167F7924wxrBq1SoZR07ehI6ODvT09HDw4EHEx8fDz88PK1askCyfOXMmxGIxPvnkE0RFReHatWuSdqPqG5/FixcjJycHM2bMwKNHj5CYmAhfX1/MmzevXQ5m+Xw+5s+fjy+//BLXr19HeHg43N3dG3zd29GjR/Hbb78hPDwciYmJOHbsGFRVVdGtW7c2jrxlmZmZ4eHDh0hKSkJ2djYsLCwQEBCAa9euITY2Fhs2bIC/v7/UNp6enrh//z68vLwwc+ZMTJkyBW5ubnL5LWdqaipWrFiBmJgY+Pj4YN++fVi2bBmAitxv376NtLS0Rt9mYWFhgWPHjiEqKgoPHz6Em5tbnW+9zczMcP36dWRmZjZ4y9iXX36JHTt24NSpU4iJicHatWsREhIiiaktvapuaurRoweEQiH27dsn2fcPHDggtc66devg7++PRYsWISwsDNHR0di/f3+derW0tMSNGzcktwPIs0uXLuHHH39ESEgIkpOT4eXlBbFYLLmEvfaxIxaLm3T8mJmZISwsDDExMcjOzm63VxE11ie8Thvr5uaGkydP4o8//sCsWbNkkA1pr/5zEwAAsGHDBqxcuRIbN26EtbU1pk+f/p+4F7UlBQQE4OXLl/jmm29gYmIi+Zk0aZKsQ5MJPp+PixcvIjIyEo6Ojvjqq6+wY8cOqXV0dXVx/PhxXL58WfL6u5qviVNQUIBAIMCcOXNgaWmJadOm4d1338XXX3/dxtm82pscHxs2bECfPn0wevRouLi4wNjYGO+//75kuaamJm7fvo2xY8fC0tIS69evx65du/Duu++2UjZtg8Ph4M8//4SOjg6cnJwwcuRImJub49SpUwAALy8vXL58GceOHYOioiLU1NTg7e2NX3/9FZcvX5Zx9KS5uFwuTp48icDAQNja2mL58uXw8PCQLNfU1MTFixcREhICBwcHfPXVV9i4cSMASJ4L0KlTJ9y9excikQijR4+Gra0tli1bBi0trWa/I13WPDw84OTkhAkTJmDkyJEYOnQo3n777XrX1dbWxqFDhzBkyBDJt50XL16Enp5eG0fdslatWgUFBQXY2NjAwMAAY8aMwaRJkzB9+nQMGDAAAoEAixYtkqwfHR2NL7/8Ej///LPkWSKenp7Iy8vDhg0bZJVGg+bMmYPi4mL0798fixcvxpIlSySvMNyyZQuSkpLQo0cPGBgYvPJzDh8+jNzcXDg6OmL27NlYunQpDA0NpdbZtWsX/v77b5iamsLR0bHez1m6dClWrlyJlStXws7OTnLrYs+ePVsm4dfwqrqpycHBAbt378aOHTtga2sLb29vbN++XWodS0tL+Pr6IjQ0FP3798egQYNw4cIFKCoq1vk8Kysr+Pn5wcfHBytXrmy1/N6UtrY2zp07h+HDh8Pa2hoHDhyAj48PevXqBaDusZOSkoLPPvvslccPACxYsABWVlaS5wTcvXtXFum9sab0CU1tY6dOnQqBQICXL19KjcUIaQyHtYcbigghhJB2wNvbGx999BHy8/ObdH8vIfLGxcUFDg4O2Lt3r6xDIYQQ0grqTjESQgghpEm8vLxgbm6Ozp07IzQ0FGvWrMG0adPo5J8QQgghcokmAAghhJBmyszMxMaNG5GZmQkTExNMnToV27Ztk3VYhBBCCCH1olsACCGEEEIIIYSQDqB9PoGIEEIIIYQQQgghr4UmAAghhBBCCCGEkA6AJgAIIYQQQgghhJAOgCYACCGEEEIIIYSQDoAmAAghhBBCCCGEkA6AJgAIIYQQQgghhJAOgCYACCGEEEIIIYSQDoAmAAghhBBCCCGEkA7g/wFQcPor+g+lMQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import seaborn as sn\n", + "\n", + "corr=np.abs(boston.corr())\n", + "\n", + "mask = np.zeros_like(corr, dtype=np.bool)\n", + "mask[np.triu_indices_from(mask)] = True\n", + "\n", + "f, ax = plt.subplots(figsize=(14, 14))\n", + "cmap = sn.diverging_palette(220, 10, as_cmap=True)\n", + "sn.heatmap(corr, mask=mask, vmax=1,square=True, linewidths=.5, cbar_kws={\"shrink\": .5},annot = corr)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 45, "metadata": {}, "outputs": [], "source": [ - "# Your response here" + "# yes. tax and ptratios" ] }, { @@ -100,11 +499,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 46, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "count 404.000000\n", + "mean 22.312376\n", + "std 8.837019\n", + "min 5.000000\n", + "25% 17.100000\n", + "50% 21.400000\n", + "75% 25.000000\n", + "max 50.000000\n", + "Name: medv, dtype: float64" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "# Your code here" + "boston.describe()['medv']" ] }, { @@ -126,7 +544,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 47, "metadata": {}, "outputs": [], "source": [ @@ -135,7 +553,7 @@ "def performance_metric(y_true, y_predict):\n", " \"\"\" Calculates and returns the performance score between \n", " true and predicted values based on the metric chosen. \"\"\"\n", - " # Your code here:" + " return r2_score(y_true, y_predict)" ] }, { @@ -148,11 +566,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 48, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/javascript": [ + "\n", + " if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('import pandas as pd\\nfrom sklearn.model_selection import train_test_split\\nimport numpy as np'); }\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# Your code here" + "features = boston.drop('medv', axis = 1)\n", + "target = boston['medv']\n", + "\n", + "x_train, x_test, y_train, y_test = train_test_split(features, target, random_state = 0)" ] }, { @@ -175,11 +611,43 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 49, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
RandomForestRegressor(max_depth=12)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "RandomForestRegressor(max_depth=12)" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "# Five separate RFR here with the given max depths" + "from sklearn.ensemble import RandomForestRegressor\n", + "\n", + "randforest2 = RandomForestRegressor(max_depth = 2)\n", + "randforest2.fit(x_train,y_train)\n", + "\n", + "randforest4 = RandomForestRegressor(max_depth = 4)\n", + "randforest4.fit(x_train,y_train)\n", + "\n", + "randforest6 = RandomForestRegressor(max_depth = 6)\n", + "randforest6.fit(x_train,y_train)\n", + "\n", + "randforest8 = RandomForestRegressor(max_depth = 8)\n", + "randforest8.fit(x_train,y_train)\n", + "\n", + "randforest10 = RandomForestRegressor(max_depth = 10)\n", + "randforest10.fit(x_train,y_train)\n", + "\n", + "randforest12 = RandomForestRegressor(max_depth = 12)\n", + "randforest12.fit(x_train,y_train)" ] }, { @@ -191,13 +659,46 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 50, "metadata": { "scrolled": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# Produce a plot with the score for the testing and training for the different max depths" + "test_score = []\n", + "test_score.append(randforest2.score(x_test,y_test))\n", + "test_score.append(randforest4.score(x_test,y_test))\n", + "test_score.append(randforest6.score(x_test,y_test))\n", + "test_score.append(randforest8.score(x_test,y_test))\n", + "test_score.append(randforest10.score(x_test,y_test))\n", + "test_score.append(randforest10.score(x_test,y_test))\n", + "\n", + "training_score = []\n", + "training_score.append(randforest2.score(x_train,y_train))\n", + "training_score.append(randforest4.score(x_train,y_train))\n", + "training_score.append(randforest6.score(x_train,y_train))\n", + "training_score.append(randforest8.score(x_train,y_train))\n", + "training_score.append(randforest10.score(x_train,y_train))\n", + "training_score.append(randforest12.score(x_train,y_train))\n", + "\n", + "x_values = [2, 4, 6, 8, 10, 12]\n", + "\n", + "plt.plot(x_values, test_score, c = 'red')\n", + "plt.plot(x_values, training_score, c = 'green')\n", + "plt.xlabel('depth')\n", + "plt.ylabel('r**2')\n", + "plt.show()" ] }, { @@ -209,11 +710,12 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 51, "metadata": {}, "outputs": [], "source": [ - "# Your response here" + "# as deeper it goes, the r**2 improves, but we also notice a case of overfitting from depth 4 onwards\n", + "# so, in my opinion, the best depth would be 2 or 3." ] }, { @@ -226,11 +728,15 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 52, "metadata": {}, "outputs": [], "source": [ - "# Your response here" + "# a model trained with a maximum depth of 10 is highly overfitted, so will suffer from high variance and will\n", + "# pay a lot of attention to the training data and won't have the capability to generalize to new data\n", + "\n", + "# model with maximum depth of 1 will pay little attention to the the training data and because of that\n", + "# will oversimplify the predictions given new data, leading to a high error on training a test data (low r**2)" ] }, { @@ -243,11 +749,13 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 53, "metadata": {}, "outputs": [], "source": [ - "# Your response here" + "# the max_depth would be 2 because even though is the low point for r**2 is where there's no overfitting nor\n", + "# underfitting so the model will adapt well to new data even if with a margin of error that we can\n", + "# calculare, expect and work with it" ] }, { @@ -265,18 +773,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 56, "metadata": {}, "outputs": [], "source": [ - "# Your response here" + "#1. data possibly is not that relevant because in a timeframe of more than 40years prices may have change due to\n", + "# a lot of reasons: tourism, gentrification, globalization\n", + "\n", + "#2. i would say so because how evenly well correlated 'medv' is with a lot of features\n", + "\n", + "#3. probably not, we could search for hyperparameters on random forest and try to cross validate\n", + "\n", + "#4. of course not. variables - that can be quantified or not - applied to develop a model on a urban city \n", + "# won't apply on rural cities" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -290,7 +806,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.2" + "version": "3.10.9" } }, "nbformat": 4, diff --git a/your-code/lab_overfitting.ipynb b/your-code/lab_overfitting.ipynb index 3776411..746bf08 100644 --- a/your-code/lab_overfitting.ipynb +++ b/your-code/lab_overfitting.ipynb @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -33,7 +33,7 @@ "\n", "# Makin' some data\n", "from sklearn.datasets import make_circles\n", - "X, y = make_circles(noise=0.2, factor=0.5, random_state=1)" + "x, y = make_circles(noise=0.2, factor=0.5, random_state=1)" ] }, { @@ -55,11 +55,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ - "# Your code here\n" + "from sklearn.svm import SVC\n", + "\n", + "model1 = SVC(gamma=0.001)\n", + "\n", + "model2 = SVC(gamma=1)\n", + "\n", + "model3 = SVC(gamma=20)\n", + "\n", + "classifiers = [model1, model2, model3]" ] }, { @@ -71,9 +79,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "from matplotlib.colors import ListedColormap\n", "\n", @@ -130,11 +149,12 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ - "# Your response here" + "# the gamma that look to fit better the data is 20. in that class there are less outliers that the other\n", + "# (if there's one) or the reds / blues are bordeline on the red / blue zone" ] }, { @@ -146,11 +166,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "0.93" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "# Your code here" + "model4 = SVC(gamma=0.7)\n", + "model4.fit(x,y)\n", + "\n", + "model4.score(x,y)" ] }, { @@ -162,11 +196,38 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/javascript": [ + "\n", + " if (window._pyforest_update_imports_cell) { window._pyforest_update_imports_cell('from sklearn.model_selection import train_test_split'); }\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "0.92" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "# Your code here" + "x_train, x_test, y_train, y_test = train_test_split(x,y,random_state=0)\n", + "\n", + "model3.score(x_test,y_test)" ] }, { @@ -178,11 +239,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "gama = 0.001: 0.64\n", + "gama = 0.1: 0.92\n", + "gama = 0.7: 0.92\n" + ] + } + ], "source": [ - "# Your code here" + "print('gama = 0.001: ', model1.score(x_test,y_test))\n", + "print('gama = 0.1: ', model2.score(x_test,y_test))\n", + "print('gama = 0.7: ', model3.score(x_test,y_test))" ] }, { @@ -194,17 +267,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ - "# Your response here" + "# i wouldn't say it was overfitting because the difference was of 1%, so, it's fitting pretty well" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -218,7 +291,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.8" + "version": "3.10.9" } }, "nbformat": 4,