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@alonsosilvaallende
Last active May 24, 2023 08:19
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sklearn-rfr.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyMqgt1DvUaH5hnCZ+80dANw",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/alonsosilvaallende/ef813de35a8b0f4328b451aea46b9c48/untitled34.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"id": "uFEqcU2GxsRB"
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.ensemble import RandomForestRegressor\n",
"\n",
"# y = x + error where error is normally distributed\n",
"np.random.seed(42)\n",
"x = np.linspace(start=0, stop=10, num=50)\n",
"y = x + np.random.normal(0, 1, x.shape)\n",
"x = x[...,None] # add a fake dimension so that RandomForestRegressor doesn't complain\n",
"# train test split\n",
"x_train, x_test = x[:40], x[40:]\n",
"y_train, y_test = y[:40], y[40:]\n",
"# model specification\n",
"rfr = RandomForestRegressor(n_estimators=100).fit(x_train, y_train)"
]
},
{
"cell_type": "code",
"source": [
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"ax.set_xlabel('true target')\n",
"ax.set_ylabel('prediction')\n",
"ax.plot(np.linspace(-1,9), np.linspace(-1,9)) # line y = x\n",
"ax.scatter(y_train, rfr.predict(x_train), label=\"train set\")\n",
"ax.scatter(y_test, rfr.predict(x_test), label=\"test set\")\n",
"ax.legend()\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 542
},
"id": "76UrfTTYygzn",
"outputId": "8f11880d-8d97-4637-fdcf-bdb898408471"
},
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 600x600 with 1 Axes>"
],
"image/png": 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030NrYrTTJeCxykDgUmMAjosPgwIRUQNEUcR/t6Zg77kbcLCT48vxYQwKZopjFhoS8BjQ/dHKWQ+F1yrHKHToD8g4A4CISJcvdqdhY9IlyATgs2eDENiWY5jMFcOCPmTyFpkeSURkKbYduYL3fz4NAIh5rCce7G78weDUctgNQURERpV4IQf/+eYYAOD5e/wxtp+ftAVRkzEsEBGR0aTfKMLENUkoU2swpKcn3nikh9QlkRFYfFgw48keVoV/TkTmL6eoDFGxCcgtLkcfX1d88u8gyGRcS8ESWGxYqFpwqLi4WOJKSB9Vf041F4oiIvNQUq7GxDVJuHCzGO1a2WPluFDY23EguKWw2AGOcrkcrq6uyM7OBgA4ODhwtTATJIoiiouLkZ2dDVdXV+4zQWSGNBoRs745ikMXb8FZaYPYyDC4OyukLouMyGLDAoDqbZKrAgOZLldXV25rTWSmPvjlNL4/lgkbmYBlY0LQxdNZ6pLIyCw6LAiCAG9vb3h4eKC8vFzqcqgetra2bFEgMlMbEzPwxe7KberfeaI3+nduI3FF1BwsOixUkcvlvBkRERnZn2ev442tKQCAaQ92xpMh7SSuiJqLxQ5wJCKi5nMqKx8vrk2GWiNiZFBbzBzcVeqSqBkxLBARUaNcyy/BhNhEFJRWINzfDe880YsDyC2cpGFBrVZjzpw58Pf3h729PTp16oS33nqLc+6JiExUUWkFnludiKt5Jejo7ojlY0OgsGE3r6WTdMzCu+++iyVLlmD16tXo2bMnkpKSEBUVBZVKhWnTpklZGhER1aDWiJi+4TBSruTDzdEOsZFhcHWwk7osagGShoX9+/dj+PDhePTRRwEAfn5+WL9+PRISEqQsi4iIahBFEfN2nMCvJ7NhZyPDinGh6NDaUeqyqIVI2g3Rv39/7Nq1C2fOnAEAHD16FHv37sWwYcOkLIuIiGpYte8CVh+4CAD4eFRfhHRoJXFF1JIkbVmYPXs28vPz0b17d8jlcqjVasyfPx+jR4+u8/zS0lKUlpZWP87Pz2+pUomIrNbPJ7Lw9g+pAIDZw7rj0d7eEldELU3SloVNmzZh3bp1+Prrr5GcnIzVq1fjgw8+wOrVq+s8f+HChVCpVNVfvr6+LVwxEZF1OXopF9M3HIYoAs/e1R6T7usodUkkAUGUcOqBr68vZs+ejSlTplQfe/vtt7F27VqcOnWq1vl1tSz4+voiLy8PLi4uLVIzEZG1uJRTjJFf7MeNwlLc19Udq8aHwkbOGfeWIj8/HyqVSq97qKTdEMXFxZDJtP/iyeVyaDSaOs9XKBRQKLg5CRFRc8u7XY4JcYm4UViK7l7O+PzZIAYFKyZpWIiIiMD8+fPRvn179OzZE4cPH8ZHH32ECRMmSFkWEZFVK6vQYPLaQzibXQhPFwVio8LgrOT28dZM0rDw6aefYs6cOXjxxReRnZ0NHx8fTJo0CXPnzpWyLCIiqyWKIt7Yehz7027CwU6OL8eHwVtlL3VZJDFJxyw0VWP6W4iIqGGf7jqLD3eegUwAvhwfhge6e0hdEjWTxtxD2QFFREQAgO8OX8GHOyvXvYkZHsigQNUYFoiICAfP38Srm48BACbe64+xd3eQuCIyJQwLRERWLu16IV746hDK1BoM7emF14f1kLokMjEMC0REVuxmYSmiYhORd7scfXxd8fG/+0Im43bTpI1hgYjISpWUqzFxTRIycorh62aPleNCYW/H7aapNoYFIiIrpNGIeGXTUSRn5MJFaYPYyDC4O3PRO6obwwIRkRV67+fT+OF4JmzlApaNDUVnD2epSyITxrBARGRlvj6YgaV70gAA7zzeG/06tZa4IjJ1DAtERFZk9+lszNmWAgCYMagLnghpJ3FFZA4YFoiIrMTJzHxM/fow1BoRjwe3xfSHukhdEpkJhgUiIitwLb8EE+ISUVhagbs7uuGdx3tDEDhFkvTDsEBEZOGKSiswIS4RmXkl6OTuiGVjQmFnwx//pD/+bSEismAVag1eWn8YJ67mo42THWIjw6Fy4HbT1DiSblFNRETNR1RXYN7Xv+G3U+VQyIEVY4PRvrWD0a6v1ohISM9Bdn4ROhcfRw/nYsicvYAO/QHZHYs7adRA2m7g+EagtABw8gLa3wW4tK19bn00aiD9T+DiXkAE4H8v4HePfq+VikYNXNwPFF4DnDz1/16b6zpNwLBARGSJUrfjyy3fY03hcAjQYJFsEYK+vQIMfRcIeKzJl49PyUTMjlT0LvgD0bZr4CPk/POki88/75O6Hfju/4CyIu0LHFpV+1wd3wt2TANu3/rn2J/vA/ZuQMQio3w/Rpe6HYh/Dci/+s8xfb7X5rpOEwmiKIot9m5G1pi9uImIrEbqdsSvX4zJ5dMhQoY3bdZios2PAP4e0DhqTZNuNPEpmZi8NhkPyxKwxPYTAMCd20mIECrfqf9LwP7FelxRqL+m1O3AprG6Xz7qK9MKDKnbgU3jUNkEcqdGfv7Guk49GnMP5ZgFIiJLolHjyI7PMKP8RYiQYaz8Fzwv//HvJ/++6cTPrmzaNoBaIyJmRyoEaBBtuwaAdlAAAAFi5Tsd+EzPq4p116RRAz+92vDLm/D9GJ1GXdkSUOsGDzTq8zfWdYyEYYGIyIJcOr4Xz9+KRAkUeEB2GNE2a6A9Q1IE8q9U9oEbICE9B5l5JQiXnYKPkFMrKFQRIAKiRv8L11XTxf1AQaZhr5XKxf3aXQa16Pn5G+s6RsKwQERkIfJulyPqh3zcgAoBwgV8ZrsYNkI9N+zCawa9R3ZBCQDAA7kGVqlDzZoaU6OB34/R6VtHQ+cZ6zpGwrBARGQByio0+L+vDuFcvgxeuIlVdu/DUSit/wVOnga9j4ezEgCQDVeDXq9TzZoaU6OB34/R6VtHQ+cZ6zpGwrBARGTmRFHE61uO48D5m3BSyBHrFgcvIbees4V/piwaINzfDd4qJRI13XFVdIOmniHyIgRAaMQtpq6aOvQHnL0Ne61UOvSvnK2A+lbH1PPzN9Z1jIRhgYjIzC3edQ7fJl+GXCbgs2eD0eNfM/5+puaN5u/HQ98xeJ6+XCYgOiIAGsgwr3wcANQKDNWzIfpN1fOqQt01yeTAsPcafnkTvh+jk8krpzUCaNLnb6zrGAnDAhGRGdt6+DI+/vUMAOCt4YEY2M2jcjrdqDWAS43fyl18mjzdDgCGBnpjyZhgHHW+D5PLZyALblrPC1Xv8/BbldMa7Rzrv5hLW901BTxWeQ37VrWfs3czvWmTgPE+/2b+c2wMrrNARGSm/jp/E2O/PIhytYhJ93fE68N6aJ/QzCv/cQXHBpj4Co6NuYcyLBARmaFz2YV4/It9yC+pwKO9vPHpM0GQ1TePkagOXJSJiMiC3SgsRVRcAvJLKhDc3hUfjurDoEDNintDEBGZkZJyNSauScKlnNto7+aAFeNCobTV3SRd3V1QUAIPZyXC/d0gZ7igRmBYICIyExqNiJkbj+BwRi5U9raIjQpDayeFztdUbfiUmVdSfcxbpUR0RACGBuoxLZEI7IYgIjIb78Sfwk8pWbCVC1g2NgSd3J10nl+14dOdQQEAsvJKMHltMuJT9FhKmQgMC0REZmHtXxex/I/zAID3nuyNuzu21nl+1YZPOrYhQsyOVKjrW1WJ6A7shiAiMnG/n87G3G0pAICZg7piZFC7Bl9TteFTfUQAmXkl+Ov8TcgEgeMZSCeGBSIiE5Z6NR9T1yVDIwJPhrTDtIc66/W6qg2fGjJlXTJyb5dXP+Z4BqoLuyGIiExUZt5tTIhLRFGZGv07tcaCkb0gCPr91l+14VND7gwKQOPGM6g1Ig6k3cS2I1dwIO0muzQsGFsWiIhMUGFpBSbEJSErvwSdPZywZEwI7Gz0//2uasOnrLySOsct1EdE5c4DMTtSMTjAq94uCc6ysC5sWSAiMjEVag2mrEvGycx8tHGyQ2xkGFT2to26RtWGT0D9+xbWp2o8Q0J6Tp3Pc5aF9WFYICIyIaIoInr7Cew5cx1KWxm+HB8GXzcHg65VteGTl0q7S8LVQb/gUde4B86ysE7shiAiMiEr/jyPdQczIAjAoqeD0MfXtUnXGxrojcEBXlorOGo0IkZ/ebDB19Y17kHfWRYJ6Tno10n39E4yHwwLREQm4qfjmVjw4ykAwJuP9MCQnl5Gua5cJmjduNUaUed4BgGAl6pyGmVN+s6y0Pc8Mg/shiAiMgHJGbcwY+MRAMD4fh3w3D3+zfZeusYzVD2Ojgioc3CjvrMs9D2PzAPDAhGRxDJuFmPi6iSUVmjwUHcPzI3oqfcUSUPVN57BS6XEkjHB9c5oqJplUV91AipnRdTVKkHmi90QREQSyi0uQ2RcAm4WlaGnjwsWPxPUYiso1jWeoaEVHKtaJSavTYYAaHVjNNQqQeaLYYGISCKlFWpM+uoQzl8vgo9KiVWRYXBUtOyP5ZrjGfRR1SpRc50FL66zYLEYFoiIJCCKIl7/9jgOpufASWGDVVFh8HQxn35+Q1olyHwxLBARSeCTX89iy+ErkMsEfDE6GN29XKQuqdEMaZUg88QBjkRELezbQ5exaNdZAMD8EYG4r6u7xBUR6cawQETUgg6k3cTsLccAAJMHdsLT4e0lroioYQwLREQt5Fx2ASZ9lYRytYh/9fbGfx7uJnVJRHphWCAiagHXC0oRGZuI/JIKhHZohQ+e6gMZBwOSmWBYICJqZrfL1Hh+TRIu37oNv9YOWD4uFEpbudRlEemNYYGIqBlpNCJmbjyCo5dy4epgi9iocLg52kldFlGjMCwQETWjhT+dRPyJLNjJZVgxLhT+bRylLomo0bjOAhFZHbVGbJHFhL46cAEr/kwHALz/VG+E+XG/BDJPDAtEZFXiUzJrLVPs3QzLFP926hqit58AAMx6uCuG921rtGsTtTR2QxCR1YhPycTktclaQQEAsvJKMHltMuJTMo3yPilX8jD168PQiMCo0HaY8kBno1yXSCpsWSAiq6DWiIjZkaq1S2IVEZU7JsbsSMXgAK9GdUnc2aXRxkmBm4WlmLPtBIrL1BjQuTXmj+zV7NtNEzU3hgUisgoJ6Tm1WhTuJALIzCtBQnqO3vsd1NWlcadz2YXYdfIad2Eks8duCCKyCtkF9QcFQ86rr0tD61r5pUbt3iCSCsMCEVkFD2f9tn/W5zxdXRp3qno+Zkcq1JqGziYyXQwLRGQVwv3d4K1Sor7RAwIqZ0WE+zc8vbGhLo073dm9QWSuGBaIyCrIZQKiIwIAoFZgqHocHRGg1+BGfbsqmvoaIlPBsEBEVmNooDeWjAmGl0q7q8FLpcSSMcF6D0TUt0ujqa8hMhWcDUFEVmVooDcGB3g1aQXHcH83uDvZ4XphWYPnCqgMI/p0bxCZKoYFIrI6cpmg9/TIuhSUlEOmx9oJje3eIDJV7IYgImqE0go1XlhzCNcKSuHmaAcPZ0W95za2e4PIVLFlgYhIT6Io4tXNx5BwIQfOChtseOFudHJ30lrBESJwo6i0WTeoImppDAtERHr6eOcZbDtyFTYyAUvGhKCrpzMANKlLg8gcsBuCiEgP3yRdwuLfzgEAFozshXu6tJG4IqKWw7BARNSAfedu4PUtxwEAUx7ohFFhvhJXRNSyGBaIiHQ4e60A/7f2ECo0IiL6+OCVwd2kLomoxTEsEBHVI7ugBJGxiSgoqUBoh1Z4/8nekHHAIlkhDnAkIrOn1ohaiyyFdGiFQxdvGbzoEgDcLlNj4uokXMm9Db/WDlg+LhRKW3kzfQdEpo1hgYjMWnxKJmJ2pGpt7CQTgDs3efRWKREdEaD3egdqjYjpGw7j6OU8tHKwRWxUONwc7YxdOpHZYDcEEZmt+JRMTF6bXGsHyJq7QWfllWDy2mTEp2Tqdd0FP57EL6nXYGcjw4pxofBv42iskonMkuRh4cqVKxgzZgxat24Ne3t79OrVC0lJSVKXRUQmTq0REbMjFWLDp1afE7MjFeqaSaKG1fsv4Mu96QCAD5/qg1A/7ulAJGk3xK1btzBgwAA88MAD+Omnn+Du7o6zZ8+iVatWUpZFRGYgIT2nVouCLiKAzLwSJKTn1LuI0q6T1xCz4wQA4D9DuiGij48xSiUye5KGhXfffRe+vr6IjY2tPubv7y9hRURkLrIL9A8K+rwu5Uoepn59GBoR+HeoL14c2Kkp5RFZFEm7IbZv347Q0FA89dRT8PDwQFBQEFasWCFlSURkJjyclUZ73dXc25gQl4jb5Wrc26UN3h4ZCEGPXSWJrIWkYeH8+fNYsmQJunTpgp9//hmTJ0/GtGnTsHr16jrPLy0tRX5+vtYXEVmncH83eKuU0PeWLqByVkS4v/YYhPySckTFJiK7oBTdPJ3x+ehg2MolH85FZFIk/Reh0WgQHByMBQsWICgoCC+88AImTpyIpUuX1nn+woULoVKpqr98fbnkKpG1kssEREcEAECDgaHq+eiIAK31FsrVGkxZl4zT1wrg7qzAqqgwuChtm6dgIjMmaVjw9vZGQECA1rEePXogIyOjzvNff/115OXlVX9dunSpJcokIhM1NNAbS8YEw0ul3bVQc/0lL5USS8YEa62zIIoi5nyXgj/P3oC9rRyrxoehrat9S5RNZHYkHeA4YMAAnD59WuvYmTNn0KFDhzrPVygUUCgULVEaEZmJoYHeGBzg1egVHJfsScOGxEuQCcCnzwShVzuVRN8BkemTNCzMnDkT/fv3x4IFCzBq1CgkJCRg+fLlWL58uZRlEZGZkcuEWtMh65seCQA7jl7Fe/GVv6jM/VcABgV4Nmt9ROZO0m6IsLAwbN26FevXr0dgYCDeeustfPLJJxg9erSUZRGRBUu6kINXvjkKAIga4IfIAZyuTdQQQRRFfRZAM0n5+flQqVTIy8uDi4uL1OUQkYm7cKMII7/Yh1vF5Rgc4ImlY0IavcEUkaVozD2U84OIyCrcKipDVFwibhWXo3c7FRY93ZdBgUhPDAtEZPFKytV44askpN8oQltXe6wcHwoHO266S6QvhgUismgajYj/bD6GxAu34Ky0QWxUmMGrPxJZK0ZrIjJbao2oNWWyrimSH+48jR1Hr8JGJmDpmBB09XSWqFoi88WwQERmKT4lEzE7UrV2nvRWKREdEVC9+NKmxEv4/Pc0AMCCx3thQOc2ktRKZO4YFojI7MSnZGLy2mTUnMqVlVeCyWuTsWRMMJwUtnhj63EAwEsPdsaoUC4PT2QohgUiMitqjYiYHam1ggIAiKjcB+K/36WgpFyDCo2I4X198PLgri1cJZFlYVggIrOSkJ6j1fVQkwjgRmEZACDMrxXee7I3t5smaiLOhiAis5JdUH9QqCnjZjF+P5XdjNUQWQeGBSIyK42Z9phdUIrJa5MRn5LZjBURWT6GBSIyK+H+bvBWKaFPx0LVuIaYHalQa8x2ZXsiyTEsEJFZkcsEREcEAIDegSEzrwQJ6TkAKgdIHki7iW1HruBA2k2GCCI9cIAjEZmdoYHeWDImuNY6C7pkF5TotTYDEdXGlgUiMktDA73xxehg2Mr1m+lw4UYRJq9NrhUuqtZm4LgGovoxLBCRWbp8qxgT1xxCuVqEwqb+H2UCKlsP1idk1Ls2A8BxDUS6MCwQkdnJLynHhLhE3CgsRXcvZ7zzeC8IqD2Goerx02HtkZVfWu/1ao5rICJtHLNARJLSZzOoO5WrNXhxbTLOXCuEp4sCqyLD4ONqD3s7ea3xCF5/j0cordDoVUtj1nAgsiYMC0QkmcYOOBRFEW9uPY69527AwU6OL8dXBgWgcgzD4ACvOoPHgbSbetXDrauJ6sawQESS0GczqJqB4fPfz2FT0mXIBOCzZ4MQ2Fal9bxcJqBfp9a13qtqbYasvJI6xy0IqGyFCPd3a9o3RWShOGaBiFpcQ5tBAbUHHG47cgUf/HKm8rnHeuLB7p56v5+utRmqHkdHBOjs/iCyZgwLRNTi9NkM6s4BhwnpOfjPN8cAAM/f44+x/fwa/Z5VazN4qbS7GrxUyjpbMYjoH+yGIKIWp+9AwuyCEqTfKMILXyWhTK3BkJ6eeOORHga/r65xDURUP4YFImpx+g4kVNrKERWbgNzicvTxdcUn/w6CrIk39vrGNRBR/dgNQUQtrqHNoAQAXi4KLNtzHhduFqNdK3usHBcKezt5S5ZJRH9jWCCiFtfQgEMRQNtW9kjOuAUXpQ3iosLg7qxo6TKJ6G8MC0QkCV0DDof09MShi7mwlQtYOjYEnT2cJaqSiACOWSAiCdU14PD8jUK8uTUFALDw8d7o36mNxFUSEcMCEUnqzgGHf5y5jrnbTgAApj3UBU+GtJOyNCL6G7shiMgknMzMx4vrkqHWiBgZ1BYzB3WRuiQi+hvDAhFJ7lp+CSbEJaKwtALh/m5454leEASufUBkKhgWiEhSRaUVmBCXiMy8EnR0d8TysSFQ2HCKJJEpYVggIsmoNSKmrT+ME1fz0drRDnGR4XB1sJO6LCKqgWGBiCQhiiLm7TiBXaeyobCRYcX4ULRv7SB1WURUB4YFIpLEqn0XsPrARQDAx//ui+D2rSSuiIjqw7BARC3u5xNZePuHVADAG490xyO9uOMjkSnjOgtE1KKOXMrF9A2HIYrA6LvaY+K9HbWeV2tE7gpJZGIYFoioxVzKKcbzqxNRUq7BwG7uiHmsp9YUyfiUTMTsSEVm3j9bWHurlIiOCMDQQLY+EEmF3RBE1CLybpcjKi4RNwrL0MPbBZ89Gwwb+T8/guJTMjF5bbJWUACArLwSTF6bjPiUzJYumYj+xrBARM2urEKDyWsP4Vx2ITxdFFgVGQonxT8Nm2qNiJgdqRDreG3VsZgdqVBr6jqDiJobwwIRNStRFPHG1uPYn3YTjnZyrIoMg7fKXuuchPScWi0KWtcAkJlXgoT0nGaulojqwrBARM3qs9/OYfOhy5DLBHw2Ohg9fVS1zskuqD8oGHIeERkXwwIRNZttR67gw51nAAAxj/XEA9086jzPw1mp1/X0PY+IjIthgYiaRUJ6Dv7zzTEAwAv3dcSYuzvUe264vxu8VUrUN0FSQOWsiHB/N+MXSkQNYlggIqNLu16IF75KQplag2GBXpg9tLvO8+UyAdERAQBQKzBUPY6OCOB6C0QSYVggIqO6WViKqNhE5BaXI6i9Kz7+d1/I9LjJDw30xpIxwfBSaXc1eKmUWDImmOssEEmIizIRkdGUlKsxcU0SMnKK4etmjxXjQqG01X+76aGB3hgc4MUVHIlMDMMCERmFRiPilU1HkZyRC5W9LWIjw9HGSdHo68hlAvp1at0MFRKRoQwKC2q1GnFxcdi1axeys7Oh0Wi0nv/tt9+MUhwRmY/3fj6NH45nwlYuYNnYEHT2cJK6JCIyEoPCwvTp0xEXF4dHH30UgYGBWmu7E5H1WZ+QgaV70gAA7z3ZG3d3ZMsAkSUxKCxs2LABmzZtwiOPPGLseojIzOw5cx3//S4FADBzUFeMDGoncUVEZGwGzYaws7ND586djV0LEZmZk5n5mLIuGWqNiCeC22HaQ/y5QGSJDAoLr7zyChYtWgRR5KYuROZIrRFxIO0mth25ggNpNw3aoOlafgkmxCWisLQC/Tq2xsLHe7FLkshCGdQNsXfvXvz+++/46aef0LNnT9ja2mo9v2XLFqMUR0TGF5+SiZgdqVobN3mrlIiOCNB7LYOi0gpMiEtEZl4JOrk7YumYENjZcNkWIktlUFhwdXXFyJEjjV0LETWz+JRMTF6bXGsr6Ky8Ekxem6zX4kcVag1eWn8YJ67mo42THeKiwqFysNX5muak1ohcl4GomRkUFmJjY41dBxE1s7IKDd7YmlIrKACVW0ALAGJ2pGJwgFe9N1tRFBGzIxW/ncqGwkaGFeNC4evm0Jxl62SMVhIialiT2g2vX7+OvXv3Yu/evbh+/bqxaiIiI4tPycTdC39FTlFZveeIADLzSpCQnlPvOV/uTcdXf12EIACLnu6LoPatmqFa/VS1ktwZFIB/WkniUzIlqozI8hgUFoqKijBhwgR4e3vjvvvuw3333QcfHx8899xzKC4uNnaNRNQEVTfVnKJyvc7PLiip83h8Shbm/3gSAPDmIz0k/c1drals4aivlQSobCUxZOAmEdVmUFh4+eWXsWfPHuzYsQO5ubnIzc3Ftm3bsGfPHrzyyivGrpGIDKTrplofD2dlrWOHM25hxsbDEEVg7N0d8Nw9/sYr0gAJ6Tm1WhTupE8rCRHpz6AxC99++y02b96MgQMHVh975JFHYG9vj1GjRmHJkiXGqo+ImqChm+qdBFTu8Bju76Z1/FJOMZ5fnYSScg0e6OaO6IgAyadI1tf6Yeh5RKSbQS0LxcXF8PT0rHXcw8OD3RBEJqSxN8voiACtwY15xeWIjE3AzaIyBHi74LNng2Ejl36KZF2tH005j4h0M+hffb9+/RAdHY2Skn9+EN2+fRsxMTHo16+f0YojoqbR92bZ2tGu1rTJsgoN/m/tIaRdL4K3SolVkWFwVJjGRrXh/m7wVilRX/uGgMpZETVbSYjIMAb9y1+0aBGGDBmCdu3aoU+fPgCAo0ePQqlU4ueffzZqgURkuKqbalZeSb3jFtwcbXHg9Ye0FlUSRRGztxzDgfM34aSwwarIMHipKoOHKaxrIJcJiI4IwOS1yRAAre+tqpKarSREZDhBNHDN5uLiYqxbtw6nTp0CAPTo0QOjR4+Gvb29UQvUJT8/HyqVCnl5eXBxcWmx9yUyJ1WzIYC6b6p1LcS06Nez+PjXM5DLBKyKDMP9Xd2rr2VK6xqYWj1E5qQx91CDw4IpYFgg0k9jbqpbki/j5U1HAQALRvbCs3e1r75GXas/6godLcEUWjqIzFGzhIXt27dj2LBhsLW1xfbt23We+9hjj+lfbRMwLBDpT5+b6l/nb2LslwdRrhbxf/d3wuxh3atfe8+7v9U7s6JqJsXe1x7kjZrITDTmHqr3mIURI0YgKysLHh4eGDFiRL3nCYIAtVqtd7FE1DLkMgH9OrWu9/lz2YV4YU0SytUiHu3ljVeHdKt+rjHrGuh6DyIyT3qHBY1GU+f/E5H5u1FYiqi4BOSXVCC4vSs+HNUHsjtaCLiuAZF1M2jq5Jo1a1BaWlrreFlZGdasWdPkooio5ZSUq/H86iRcyrmN9m4OWDEuFLZyGQ6k3cS2I1dwIO0m2jgq9LoW1zUgskwGDXCUy+XIzMyEh4eH1vGbN2/Cw8OjxbohOGaBqGk0GhFTvk7GTylZUNnbYsuL/XH2WkGtwZBeLkqUVKiRV1xe5xRMjlkgMj/NMmbhTqIo1rnc6+XLl6FSqQy5JBFJ4J34U/gpJQt2chmWjw3B2WsFdc54uJb/zzoNXNeAyPo0KiwEBQVBEAQIgoCHHnoINjb/vFytViM9PR1Dhw41epFEZHxr/7qI5X+cBwC8/1RvhPq54Z53f6t3J0cBgKuDLRQ2MmTl/9MN6cV1DYgsXqPCQtUsiCNHjmDIkCFwcnKqfs7Ozg5+fn544oknjFogERnf76eyMXdbCgDglcFdMbxvWxxIu9ngjIdbxeVY9/xdkAkC1zUgsiKNCgvR0dEAAD8/Pzz99NNQKPQb9EREpuPE1TxM/ToZGhF4MqQdpj7YGYD+MxluFJZieN+2zVkiEZkYg2ZDBAQE4MiRI7WOHzx4EElJSQYV8s4770AQBMyYMcOg1xNRwzLzbmNCXCKKytQY0Lk1FozsVT3+iDs5ElF9DAoLU6ZMwaVLl2odv3LlCqZMmdLo6yUmJmLZsmXo3bu3IeUQkR4KSyswIS4J1/JL0cXDCV+MDtHaPIo7ORJRfQwKC6mpqQgODq51PCgoCKmpqY26VmFhIUaPHo0VK1agVatWhpRDRA2oUGswZV0yTmbmo42TArFRYVDZ22qdU7WTI4BagYEzHoism0FhQaFQ4Nq1a7WOZ2Zmas2Q0MeUKVPw6KOPYtCgQYaUQkQNEEUR0dtPYM+Z61DayvDl+FC0a+VQ57lDA72xZExw9XbUVbxUSsk2iiIi6Rm0zsLDDz+M119/Hdu2bateVyE3NxdvvPEGBg8erPd1NmzYgOTkZCQmJup1fmlpqdbKkfn5+Y0rnMgKrfjzPNYdzIAgAIufDkIfX1ed5w8N9MbgAC/u5EhE1QwKCx988AHuu+8+dOjQAUFBQQAqp1N6enriq6++0usaly5dwvTp07Fz504olfoNmFq4cCFiYmIMKZnIKv14PBMLfjwFAPjvowF4uKeXXq9raNMpIrIuBi33DABFRUVYt24djh49Cnt7e/Tu3RvPPPMMbG1tG34xgO+++w4jR46EXC6vPqZWqyEIAmQyGUpLS7WeA+puWfD19eVyz0R1SM64hWeW/4XSCg3G9+uA/z3Ws86VV4nIOjVmuWeDw0JTFRQU4OLFi1rHoqKi0L17d7z22msIDAxs8BrcG4Kobhk3izHyi324WVSGh7p7YPm4UHYjEJGWZtkbYvv27Rg2bBhsbW2xfft2nec+9thjDV7P2dm5ViBwdHRE69at9QoKRFS33OIyRMYl4GZRGXr6uGDxM0EMCkTUJHqHhREjRiArKwseHh7Vyz7XRRCEFtt1koi0lVaoMemrQzh/vQg+KiVWRYbBUWHQ0CQiomp6/xTRaDR1/r8x7d69u1muS2QNRFHE7G+P42B6DpwUNlgVFQZPF662SERNZ9A6C0Rkej7+9Sy2Hr4CuUzAF6OD0d2L43iIyDj0bllYvHix3hedNm2aQcUQkWE2H7qMxbvOAgDmjwjEfV3dJa6IiCyJ3rMh/P39tR5fv34dxcXFcHV1BVC5KJODgwM8PDxw/vx5oxdaF86GIAL2p93A+FUJKFeLmDywE14b2l3qkojIDDTmHqp3N0R6enr11/z589G3b1+cPHkSOTk5yMnJwcmTJxEcHIy33nqryd8AEenn7LUCTPrqEMrVIv7V2xv/ebib1CURkQUyaJ2FTp06YfPmzdWrN1Y5dOgQnnzySaSnpxutQF3YskDmSq0Rm7yc8vWCUoz8Yh8u37qNkA6tsO75u6C0lTf8QiIiNNM6C3fKzMxERUVFreNqtbrODaaI6B/xKZmI2ZGKzLyS6mPeKiWiIwL03qjpdpkaz69JwuVbt9GhtQNWjAtlUCCiZmPQbIiHHnoIkyZNQnJycvWxQ4cOYfLkydw9kkiH+JRMTF6brBUUACArrwST1yYjPiWzwWuoNSJmbDyMo5dy4epgi9jIMLg52jVXyUREhoWFVatWwcvLC6GhoVAoFFAoFAgPD4enpydWrlxp7BqJLIJaIyJmRyrq6verOhazIxVqje6ewYU/nsTPJ67BTi7D8rGh6OjuZPRaiYjuZFA3hLu7O3788UecOXMGp05V7mjXvXt3dO3a1ajFEVmShPScWi0KdxIBZOaVICE9p94dH9ccuICVeyvHBL3/VG+E+7s1R6lERFqatA6sn58fRFFEp06dYGPDJWWJdMkuqD8o6HPerpPX8L/tJwAAsx7uiuF92xqtNiIiXQzqhiguLsZzzz0HBwcH9OzZExkZGQCAl156Ce+8845RCySyFB7O+i29XNd5KVfy8NL6w9CIwKjQdpjyQGdjl0dEVC+DwsLrr7+Oo0ePYvfu3VAq//nBNmjQIGzcuNFoxRFZknB/N3irlKhvgqSAylkRNbsWrubexoS4RBSXqXFP5zaYP7IXBIG7SBJRyzEoLHz33Xf47LPPcM8992j90OrZsyfS0tKMVhyRJZHLBERHBABArcBQ9Tg6IkBrvYWCknJMiEtEdkEpuno64YsxwbCVc0sXImpZBv3UuX79Ojw8PGodLyoq4m88RDoMDfTGkjHB8FJpdzV4qZRYMiZYa52FcrUGL65LxqmsArg7K7AqMgwuStuWLpmIyLABjqGhofjhhx/w0ksvAUB1QFi5ciX69etnvOqILNDQQG8MDvDSuYKjKIqYuy0Ff569AXtbOb4cH4p2rRwkrJqIrJlBYWHBggUYNmwYUlNTUVFRgUWLFiE1NRX79+/Hnj17jF0jkcWRy4R6p0cCwNI957E+4RIEAVj0dF/0bufacsUREdVgUDfEPffcg6NHj6KiogK9evXCL7/8Ag8PDxw4cAAhISHGrpHIqnx/7Creja9cv2TuvwLwcE8vneerNSIOpN3EtiNXcCDtZoOLOhERNVajWxbKy8sxadIkzJkzBytWrGiOmois1qGLOXh501EAQGR/P0QN8Nd5vjH2mSAiakijWxZsbW3x7bffNkctRJIwld/ML94swsQ1h1BWocGgHp6Y868AnecbY58JIiJ9GDRmYcSIEfjuu+8wc+ZMY9dD1KJM5TfzW0VliIpNRE5RGXq1VWHxM311blnd0D4TAir3mRgc4NXora+JiGoyKCx06dIF8+bNw759+xASEgJHR0et56dNm2aU4oiaU9Vv5jVvuFW/mdecythcSivUmPTVIZy/UYS2rvb4MjIUDna6/2kaY58JIiJ9GRQWvvzyS7i6uuLQoUM4dOiQ1nOCIDAskMkzld/MRVHEq5uPIeFCDpwVNoiNCtNrWeim7jNBRNQYBoWF9PT06v8Xxcoft1yMicyJqfxm/tHOM9h25CpsZAKWjAlBV09nvV7XlH0miIgay+B1Y7/88ksEBgZCqVRCqVQiMDAQK1euNGZtRM3GFH4z35R0CZ/+dg4AsGBkL9zTpY3erzV0nwkiIkMYFBbmzp2L6dOnIyIiAt988w2++eYbREREYObMmZg7d66xayQyOql/M9937gbe2HIcADDlgU4YFebbqNcbss8EEZGhBLGqH6ER3N3dsXjxYjzzzDNax9evX4+XXnoJN27cMFqBuuTn50OlUiEvLw8uLi4t8p5kGdQaEfe8+xuy8krqHLcgoHK/hr2vPWj0G+6ZawV4Ysl+FJRU4LE+Plj0dF+Du/FMZTYHEZmfxtxDDRqzUF5ejtDQ0FrHQ0JCUFFRYcgliVpU1W/mk9cmQwC0AkNz/maeXVCCqNhEFJRUIMyvFd5/qneTxvvos88EEVFTGdQNMXbsWCxZsqTW8eXLl2P06NFNLoqoJTRmB0hjKC6rwPOrk3Al9zb82zhi+dhQKGzkTb5u1T4Tw/u2Rb9OrRkUiMjoDGpZACoHOP7yyy+4++67AQAHDx5ERkYGxo0bh5dffrn6vI8++qjpVRI1k5b6zVytETF9wxEcu5yHVg62iI0MQytHO6O+BxFRczEoLKSkpCA4OBgAkJaWBgBo06YN2rRpg5SUlOrzOJ2SzEFDO0Aaw/wfTmJn6jXY2ciwYlwo/No4NvwiIiITYVBY+P33341dB5FZUGvERrdCxO1Lx6p9lWuTfPhUH4T6cTojEZkXg7shiKyNITMPfk29hnnfpwIAXh3aDRF9fFqkViIiYzJ4USYia2LIDo/HL+fhpfWHoRGBp8N8Mfn+Ti1VLhGRUTEsEDWgoX0kgMp9JO7c2vpK7m1MWJ2I2+Vq3NulDd4aEcgxPERkthgWiBrQmH0kACC/pBxRsQm4XlCKbp7O+Hx0MGzl/KdGROaLP8GIGtCYfSTK1Rq8uDYZZ64Vwt1ZgVVRYXBR2jZzhUREzYthgagB+u4P4e6kwH+3pmDvuRtwsJMjNjIMbV3tm7k6IqLmx7BA1AB9d3hMzriFjUmXIBOAT58JQmBbVUuWSUTUbBgWiBqgzw6Pj/Tywge/nAEAREf0xEM9PFuuQCKiZsawQKQHXftIvPJwV3x1IAMAMGGAP8b395OgQiKi5sNFmYj0VNc+Eu7OCjy1dD/K1Bo8HOCJNx/tIXWZRERGx7BA1Ah37iORU1SGx7/Yh1vF5ejdToVFTwdxx0ciskgMC2TxDNnPoSEl5Wq8sCYJF24Wo62rPb4cHwZ7u6ZvN01EZIoYFsiiGbKfQ0M0GhH/2XwMSRdvwVlpg7ioMLg7K4xVMhGRyeEAR7JYhuznoI8Pd57GjqNXYSMTsHRMCLp4OhujXCIik8WwQBbJkP0c9LExMQOf/54GAFj4eC8M6NymaYUSEZkBhgWySI3dz0Eff569jje2pgAApj3YGU+F+ja1TCIis8CwQBapMfs56ON0VgFeXJsMtUbEiL4+mDm4a1PKIyIyKwwLZJH03c9Bn/Oy80swIS4RBaUVCPd3w7tP9uZ200RkVRgWyCLpu59DuL+bzusUl1XgudVJuJJ7Gx3dHbF8bAgUNpwiSUTWhWGBLJI++zlERwToXG9BrRExbf1hHL+SBzdHO8RGhsHVwa55CiYiMmEMC2SxdO3nsGRMcIPrLLz1fSp+PZkNOxsZVowLRYfWjs1ZLhGRyeKiTGTR6trPQZ8VHGP3pSNu/wUAwMej+iKkQ6sWqJaIyDQxLJDFu3M/B338ciIL875PBQDMHtYdj/Y2bKVHIiJLwW4Iojscu5yL6RuOQBSBZ+9qj0n3dZS6JCIiyTEsEP3t8q1iTIhLwu1yNe7v6o55j/XkFEkiIjAsEAEA8kvKMSEuETcKS9HdyxmfPRsEGzn/eRARAQwLRChXa/Di2mScuVYITxcFYqPC4Ky0lbosIiKTwbBAVk0URby59Tj2nrsBBzs5vhwfBm+VvdRlERGZFIYFsmpf7E7DpqTLkAnA588GI7CtSuqSiIhMDsMCWa1tR67g/Z9PAwBihgfige4eEldERGSaGBbIKiWk5+A/3xwDAEy81x9j7+4gcUVERKaLYYGszvnrhXjhqySUqTUY2tMLrw/rIXVJREQmjWGBrMrNwlJExSUit7gcfXxd8fG/+0LWwNLPRETWjss9k8VSa0StPSH6tFPhha8O4eLNYrRrZY+V40Jhb8ftpomIGsKwQBYpPiUTMTtSkZlXUn1MaStDSbkGLkobxEWFwd1ZIWGFRETmg2GBLE58SiYmr02GWON4SbkGAPDcPf7o7OFs8PVrtljos4slEZE5Y1ggi6LWiIjZkVorKNxpQ+IlTH2wi0E3+LpaLLxVSkRHBGBoIHenJCLLxAGOZFES0nO0buR1ycwrQUJ6jtYxtUbEgbSb2HbkCg6k3YRaUztuVLVY1Lx+Vl4JJq9NRnxKZtO/ASIiE8SWBbIo2QW6g0Jd5+nTWqCrxUIEIACI2ZGKwQFe7JIgIovDlgWyKB7Oykadp09rgVojIm5fus4WCxF1t1gQEVkCtiyQRQn3d4OniwLX8kvrfF4A4KWqHJSoT2vB61uO43/bTyCrnuvVpG/LBhGROWHLAlkUURThUc+UyKrOgeiIAMhlQoPjG0QAt4rL9Q4KgP4tG0RE5oRhgSyGKIqY930qjl/Jh61cQGtHO63nvVRKLBkTXD0OwZitAAIqxzmE+7sZ7ZpERKZC0m6IhQsXYsuWLTh16hTs7e3Rv39/vPvuu+jWrZuUZZGZ+nJvOtYcuAhBABY/HYSHe3rpXA/BWK0ANVssiIgsjaQtC3v27MGUKVPw119/YefOnSgvL8fDDz+MoqIiKcsiMxSfkoX5P54EALw+rDuG9fKGXCagX6fWGN63Lfp1aq11I1drRGg0IlztbZv83jVbLIiILI2kLQvx8fFaj+Pi4uDh4YFDhw7hvvvuk6gqMjdHLuVixsbDEEVgzN3tMfHejjrPr2uqpKHmPNoDkQP82aJARBbNpGZD5OXlAQDc3Oru9y0tLUVp6T+DzfLz81ukLjJdl3KK8fzqRJSUa/BAN3f8L6InBKH+G3d9S0HX5K1S4na5GnnF5XWeWzWrgkGBiKyByQxw1Gg0mDFjBgYMGIDAwMA6z1m4cCFUKlX1l6+vbwtXSaYk73Y5ouIScaOwDAHeLvj02WDYyOv/K63PUtCu9rZY9/xd2Pvag3jn8V4A/hmTUIVjFIjI2phMWJgyZQpSUlKwYcOGes95/fXXkZeXV/116dKlFqyQTElZhQaT1x7CuexCeLkosSoyDE4K3Q1l+iwFnXu7HDJBgFwmYGigN5aMCYaXSnsgJMcoEJG1MYluiKlTp+L777/HH3/8gXbt2tV7nkKhgELBbYWtSV07PMqEysWS9qfdhKOdHKsiw2rd0OtiyFLQQwO9MThA96wKIiJLJ2lYEEURL730ErZu3Yrdu3fD399fynLIxNS3Z0Noh1bYcSwTcpmAz0cHI8DHRa/rNXYp6CpVsyqIiKyVpGFhypQp+Prrr7Ft2zY4OzsjKysLAKBSqWBvby9laSSx+gYiZuaVYMexyt0d5w3viYHdPPS+Zri/G7xVSmTllegctMiFlYiItEk6ZmHJkiXIy8vDwIED4e3tXf21ceNGKcsiiekzENHRTo6nw9o36rpymYDoiAAAHLRIRNQYkoYFURTr/IqMjJSyLJKYPgMRi8rUBu3wyEGLRESNZxIDHInuZMhAxMbgoEUiosZhWCCTY+hAxMbgoEUiIv0xLJDkak6PDOnQCt4qZb1dERyISETUshgWSFL1TY98rI83lv2RXut8fQYi1rU2A7sYiIgMx7BAkqlvemRWXkmdQQGobFGIjgiodyBifeFD12uIiEg3hgWShK7pkXcem/ZgZ/Tr1EavVgJd4WPy2mTOdiAiMhDDAklCn+mRAHB3x9Z6DURsKHwIAGJ2pGJwgBe7JIiIGslkNpIi66LvtMfrhaUNn4SGw4eIytUfDVmbgYjI2rFlgYyisYMKjT09srnXZiAismYMC9RkhgwqNPY+DS2xNgMRkbViNwQ1SXxKJv5vbXKtLoCqQYXxKZl1vq5qn4b6ggLQuH0aqsJHfWcLqAwwXJuBiKjxGBbIYGqNiNlbjtf5XFUIiNmRCrWm7i2hhgZ644ngtrWOG7JPAzeJIiJqPuyGIIN99ts55BaX1/v8nYMK65rR8NPxTGw5fAUAMOauDgjzb9WkRZSqNomq2SXS0NoMRESkG8MCAWj8AEW1RkTsvroXTqqprkGFhzNuYcbGIxBFYOzdHTBveE8IQtN/6+cmUURExsewQAYNUExIz0Hu7fpbFe5Uc1Bhxs1iPL86CaUVGjzQzR3REQFGCQpVuEkUEZFxccyClata9bCxAxT1nYLoam+rNagwr7gcUXEJuFlUhp4+Lvjs2WDYyPnXkIjIlPGntBXTZ8nl+gYo6jsFMWqAX3UXQFmFBpPWJiHtehG8VUqsigyDo4KNW0REpo5hwYo1ZdXDhqYqAkArB1tMfbBL5bVEEbO/PYa/zufASWGDVZFh8HThmgdEROaAYcGKNWXVQ11TFauOLXy8V3Wrwie/nsWWw1cglwn4fHQweni7GFo2ERG1MIYFK9bUVQ+rpip6qbSf966xTsK3hy5j0a6zAIC3hgfi/q7uTaiaiIhaGjuMrZgxllxuaKrigbSbmL3lGADg/+7vhGfvat8M3wkRETUnhgUrVtWVMHltMgRAKzA0ZtXD+qYqnssuwKSvklCuFvFob2+8OqSb0WonIqKWw24IK1dfV4IhSy7f6XpBKSJjE5FfUoHg9q748Kk+kHFhJCIis8SWBTJo1UNdKz7eLlPj+TVJuHzrNtq7OWDFuFAobeUt9e0QEZGRMSwQgMateqhrxceHA7wwc+MRHL2UC1cHW8RFhaG1k6K5yiYiohbAsECNUrXiY80BkVUrPj7UwwO/nsyGnVyGZWNC0NHdSZI6iYjIeBgWSG/6rPj468lsAMD7T/XGXR25PwMRkSVgWCAtusYiNLTiY5WnQtpheN+2zV0qERG1EIYFqtbQ7pP6rvg4oDNbFIiILAmnThIA/Xaf1HfFR08X++YokYiIJMKwQHrvPhnSoVWDm0d5N7DiIxERmR92Q1ihmuMSNKKo1+6Thy7eql7xsS4C9FvxkYiIzAvDgpWpa1yCq72tXq/NLijB8L5t8cXoILzyzTEUl6mrn7tzbAMREVkWhgUrUt8aCbm3y/V6fdWYhYyc2yguU0MAMOEePwzq4dXgio9ERGS+GBashK5xCQ25c/fJH45lYuFPpwAAc/4VgAn3+Bu1TiIiMj0c4Ggl9F0joaY7d588cikXMzcdAQBE9vdjUCAishIMC1ZC3zUSao5fqNp9soe3CyauSUJZhQaDenhgzr8CmqNMIiIyQeyGsBL6rpHw+bPBkMkErRUcC0rK8fiS/cgpKkNgWxcsejqI4xOIiKwIw4KVCPd3g7dKiay8kjrHLVSNS7i7U2utIFBaocYLXx3C+etF8FEpsWp8GBwV/GtDRGRN2A1hJeQyAdERlV0HNdsE7hyXcGdQEEURr24+hoT0HDgpbLAqKgweLvq1UBARkeVgWLAiQwO9sWRMMLxU2jf8qnEJNddI+HjnGWw7chVymYAvRgeju5dLS5ZLREQmgu3JVmZooDcGB3jVu7NklW+SLmHxb+cAAPNHBOK+ru5SlEtERCaAYcEKyWUC+nWqf2fI/edu4PUtxwEALw7shKfD27dUaUREZILYDUFazl4rwKS1h1ChEfGv3t6Y9XA3qUsiIiKJMSxQteyCEkTGJqKgpAKhHVrhg6f6QMYpkkREVo9hgQAAt8vUmLg6CVdyb8OvtQOWjwuF0lYudVlERGQCGBYIao2I6RsO4+jlPLRysEVsVDjcHO2kLouIiEwEwwJhwY8n8UvqNdjJZVg+LhT+bRylLomIiEwIw4KVW73/Ar7cmw4A+GBUH4T5uUlcERERmRqGBSu26+Q1xOw4AQD4z5BueKyPj8QVERGRKWJYsFIpV/Iw9evD0IjAv0N98eLATlKXREREJophwQpdzb2NCXGJuF2uxr1d2uDtkYEQBE6RJCKiunEFRyuh1ohISM9BRk4RPvs9DdkFpejm6YzPRwfDVs7MSERE9WNYsALxKZmI2ZGKzLyS6mMyARjfvwNclLYSVkZEROaAYcHCxadkYvLaZIg1jmtE4M2tKXBztKu12yQREdGd2P5swdQaETE7UmsFhTvF7EiFWqPrDCIisnYMCxYsIT1Hq+uhJhFAZl4JEtJzWq4oIiIyOwwLFiy7oP6gYMh5RERknRgWLJioZ++Ch7OyeQshIiKzxgGOFupWURkW7Tqr8xwBgJdKiXB/LvFMRET1Y8uCBSqtUGPSV4eQfqOoevfImksuVT2OjgiAXMYFmYiIqH5sWTATVYsqZReUwMO5sjWgrpu8KIp4dfMxJFzIgbPSBhteuBvnrxfWWmfBS6VEdEQAp00SEVGDGBbMQF2LKnnXc7P/aOcZbDtyFTYyAUvHhKCrpzO6ejpjcICXXmGDiIioJoYFE1ffokpZeSWYvDYZS8YEVweGTYmX8Olv5wAACx7vhQGd21SfL5cJ6NepdUuVTUREFoRjFkyYrkWVqo5VLaq09+wNvLH1OABg6gOdMSrUt8XqJCIiy8aWBROm76JK3x66jLe+T0WFRsRjfXzwysNdW65IIiKyeGxZMGH6Lpa08KeTKCitQJhfK7z/VG9uN01EREbFsGDC9F0s6VZxOfzbOGL52FAobOTNXBUREVkbhgUTFu7vBm+VstYaCTW1crBFbGQYWv29pgIREZExMSyYMLlMQHREAIDaiypVsZEJWDk+FH5tHFuuMCIisioMCyZuaKA3lowJhpeq7i6JT57ui5AOXK6ZiIiaD2dDmIGhgd7ViyrtOnUNX/6ZDhHAq0O74V+9faQuj4iILBxbFsyEXCbASWGDdX9lQATwdJgvJt/fSeqyiIjICphEWPj888/h5+cHpVKJu+66CwkJCVKXZHIu3yrGhNWJuF2uxr1d2uCtEYGcIklERC1C8rCwceNGvPzyy4iOjkZycjL69OmDIUOGIDs7W+rSTEZ+STkmxCXiekEpuns54/PRwbCVS/5HR0REVkLyO85HH32EiRMnIioqCgEBAVi6dCkcHBywatUqqUszCeVqDV5cm4wz1wrh4azAqsgwuChtpS6LiIisiKRhoaysDIcOHcKgQYOqj8lkMgwaNAgHDhyodX5paSny8/O1viyZKIp4c+tx7D13Aw52cqyKDIOPq73UZRERkZWRNCzcuHEDarUanp6eWsc9PT2RlZVV6/yFCxdCpVJVf/n6WvZmSV/sTsOmpMuQCcCnzwQhsK1K6pKIiMgKSd4N0Rivv/468vLyqr8uXbokdUnNZvvRq3j/59MAgP891hMP9fBs4BVERETNQ9J1Ftq0aQO5XI5r165pHb927Rq8vLxqna9QKKBQKFqqPMkkXsjBrE1HAQDP3eOPcf38pC2IiIismqQtC3Z2dggJCcGuXbuqj2k0GuzatQv9+vWTsDLppN8owsQ1SShTazCkpyfeeKSH1CUREZGVk3wFx5dffhnjx49HaGgowsPD8cknn6CoqAhRUVFSl9bicorKEBWbgNzicvRpp8In/w6CXMa1FIiISFqSh4V///vfuH79OubOnYusrCz07dsX8fHxtQY9WrqScjUmrknChZvFaNfKHivHh8HejttNExGR9ARRFEWpizBUfn4+VCoV8vLy4OLiInU5BtNoREzbcBjfH8uEs9IGWyb3RxdPZ6nLIiIiC9aYe6hZzYawVB/8chrfH8uErVzAsjEhDApERGRSGBYktiEhA1/sTgMALHy8N/p3biNxRURERNoYFiT059nrePO7FADAtIe64MmQdhJXREREVBvDgkROZxXgxbXJUGtEjAxqi5mDukhdEhERUZ0YFiRwLb8EUbEJKCitQLi/G955ohe3myYiIpPFsNDCikor8NzqRFzNK0FHd0csHxsChQ2nSBIRkeliWGhBao2I6RsOI+VKPtwc7RAbGQZXBzupyyIiItKJYaEFvfV9Kn49mQ07GxlWjAtFh9aOUpdERETUIIaFFrJqbzri9l8AAHw8qi9COrSStiAiIiI9MSy0gF9OZOGtH1IBALOHdcejvb0lroiIiEh/DAvN7OilXEzbcBiiCDx7V3tMuq+j1CURERE1CsNCM7qUU4znViehpFyD+7u6Y95jPTlFkoiIzA7DQjPJu12OCXGJuFFYiu5ezvjs2SDYyPlxExGR+eHdqxmUVWjw4rpDOJtdCE8XBWKjwuCstJW6LCIiIoMwLBiZKIp4c+tx7Dt3E452cqyKDIO3yl7qsoiIiAzGsGBkn/9+Dt8cugyZAHz2bDB6+qikLomIiKhJGBaMaNuRK/jglzMAgJjhgXigu4fEFRERETUdw4KRJKTn4D/fHAMATLzXH2Pv7iBxRURERMbBsGAE568X4oWvklCm1mBYoBdeH9ZD6pKIiIiMhmGhiW4WliIqLhG5xeXo6+uKj//dFzIZ11IgIiLLwbDQBCXlakxck4SLN4vh62aPleNDobTldtNERGRZGBYMpNGIeGXTUSRn5MJFaYPYyDC0cVJIXRYREZHRMSwY6L2fT+OH45mwlQtYNjYUnT2cpS6JiIioWTAsGGB9QgaW7kkDALzzeG/069Ra4oqIiIiaD8NCI+05cx3//S4FADD9oS54IqSdxBURERE1L4aFRjiZmY8p65Kh1oh4PKgtZgzqInVJREREzY5hQU/X8kswIS4RhaUVuLujG955oje3myYiIqvAsKCHotIKTIhLRGZeCTq5O2LZmFDY2fCjIyIi68A7XgMq1Bq8tP4wTlzNR2tHO8RGhkPlwO2miYjIejAs6CCKIuZ9n4rfTmVDYSPDyvGhaN/aQeqyiIiIWhTDgg5f7k3HmgMXIQjAoqf7Iqh9K6lLIiIianEMC/WIT8nC/B9PAgDeGNYDQwO9Ja6IiIhIGgwLdThyKRczNh6GKAJj7m6P5+/1l7okIiIiyTAs1HAppxjPr05ESbkGD3Rzx/8ienKKJBERWTWGhTuUlKsRFZeIG4VlCPB2wWfPBsNGzo+IiIisG++Ed1DayjGuXwe0dbXHqsgwOCpspC6JiIhIcrwb1jCunx+eCvGFvZ1c6lKIiIhMAlsW6sCgQERE9A+GBSIiItKJYYGIiIh0YlggIiIinRgWiIiISCeGBSIiItKJYYGIiIh0YlggIiIinRgWiIiISCeGBSIiItKJYYGIiIh0YlggIiIinRgWiIiISCeGBSIiItKJYYGIiIh0YlggIiIinRgWiIiISCeGBSIiItLJRuoCmkIURQBAfn6+xJUQERGZl6p7Z9W9VBezDgsFBQUAAF9fX4krISIiMk8FBQVQqVQ6zxFEfSKFidJoNLh69SqcnZ0hCILU5TSb/Px8+Pr64tKlS3BxcZG6HJPDz6dh/Ix04+fTMH5Gupnj5yOKIgoKCuDj4wOZTPeoBLNuWZDJZGjXrp3UZbQYFxcXs/lLKAV+Pg3jZ6QbP5+G8TPSzdw+n4ZaFKpwgCMRERHpxLBAREREOjEsmAGFQoHo6GgoFAqpSzFJ/Hwaxs9IN34+DeNnpJulfz5mPcCRiIiImh9bFoiIiEgnhgUiIiLSiWGBiIiIdGJYICIiIp0YFkzc559/Dj8/PyiVStx1111ISEiQuiSTsXDhQoSFhcHZ2RkeHh4YMWIETp8+LXVZJuudd96BIAiYMWOG1KWYlCtXrmDMmDFo3bo17O3t0atXLyQlJUldlklQq9WYM2cO/P39YW9vj06dOuGtt97Say8BS/XHH38gIiICPj4+EAQB3333ndbzoihi7ty58Pb2hr29PQYNGoSzZ89KU6wRMSyYsI0bN+Lll19GdHQ0kpOT0adPHwwZMgTZ2dlSl2YS9uzZgylTpuCvv/7Czp07UV5ejocffhhFRUVSl2ZyEhMTsWzZMvTu3VvqUkzKrVu3MGDAANja2uKnn35CamoqPvzwQ7Rq1Urq0kzCu+++iyVLluCzzz7DyZMn8e677+K9997Dp59+KnVpkikqKkKfPn3w+eef1/n8e++9h8WLF2Pp0qU4ePAgHB0dMWTIEJSUlLRwpUYmkskKDw8Xp0yZUv1YrVaLPj4+4sKFCyWsynRlZ2eLAMQ9e/ZIXYpJKSgoELt06SLu3LlTvP/++8Xp06dLXZLJeO2118R77rlH6jJM1qOPPipOmDBB69jjjz8ujh49WqKKTAsAcevWrdWPNRqN6OXlJb7//vvVx3Jzc0WFQiGuX79eggqNhy0LJqqsrAyHDh3CoEGDqo/JZDIMGjQIBw4ckLAy05WXlwcAcHNzk7gS0zJlyhQ8+uijWn+XqNL27dsRGhqKp556Ch4eHggKCsKKFSukLstk9O/fH7t27cKZM2cAAEePHsXevXsxbNgwiSszTenp6cjKytL6t6ZSqXDXXXeZ/c9ts95IypLduHEDarUanp6eWsc9PT1x6tQpiaoyXRqNBjNmzMCAAQMQGBgodTkmY8OGDUhOTkZiYqLUpZik8+fPY8mSJXj55ZfxxhtvIDExEdOmTYOdnR3Gjx8vdXmSmz17NvLz89G9e3fI5XKo1WrMnz8fo0ePlro0k5SVlQUAdf7crnrOXDEskEWYMmUKUlJSsHfvXqlLMRmXLl3C9OnTsXPnTiiVSqnLMUkajQahoaFYsGABACAoKAgpKSlYunQpwwKATZs2Yd26dfj666/Rs2dPHDlyBDNmzICPjw8/HyvDbggT1aZNG8jlcly7dk3r+LVr1+Dl5SVRVaZp6tSp+P777/H7779b1ZblDTl06BCys7MRHBwMGxsb2NjYYM+ePVi8eDFsbGygVqulLlFy3t7eCAgI0DrWo0cPZGRkSFSRafnPf/6D2bNn4+mnn0avXr0wduxYzJw5EwsXLpS6NJNU9bPZEn9uMyyYKDs7O4SEhGDXrl3VxzQaDXbt2oV+/fpJWJnpEEURU6dOxdatW/Hbb7/B399f6pJMykMPPYTjx4/jyJEj1V+hoaEYPXo0jhw5ArlcLnWJkhswYECt6bZnzpxBhw4dJKrItBQXF0Mm075NyOVyaDQaiSoybf7+/vDy8tL6uZ2fn4+DBw+a/c9tdkOYsJdffhnjx49HaGgowsPD8cknn6CoqAhRUVFSl2YSpkyZgq+//hrbtm2Ds7NzdZ+gSqWCvb29xNVJz9nZudb4DUdHR7Ru3ZrjOv42c+ZM9O/fHwsWLMCoUaOQkJCA5cuXY/ny5VKXZhIiIiIwf/58tG/fHj179sThw4fx0UcfYcKECVKXJpnCwkKcO3eu+nF6ejqOHDkCNzc3tG/fHjNmzMDbb7+NLl26wN/fH3PmzIGPjw9GjBghXdHGIPV0DNLt008/Fdu3by/a2dmJ4eHh4l9//SV1SSYDQJ1fsbGxUpdmsjh1srYdO3aIgYGBokKhELt37y4uX75c6pJMRn5+vjh9+nSxffv2olKpFDt27Ci++eabYmlpqdSlSeb333+v8+fO+PHjRVGsnD45Z84c0dPTU1QoFOJDDz0knj59WtqijYBbVBMREZFOHLNAREREOjEsEBERkU4MC0RERKQTwwIRERHpxLBAREREOjEsEBERkU4MC0RERKQTwwIRERHpxLBAZEEGDhyIGTNmSFqDn58fPvnkE0lrqMkUayIyJwwLRFZGFEVUVFRIXUaDysrKpC6BiP7GsEBkISIjI7Fnzx4sWrQIgiBAEARcuHABu3fvhiAI+OmnnxASEgKFQoG9e/ciMjKy1uY2M2bMwMCBA6sfazQaLFy4EP7+/rC3t0efPn2wefPmemsYOHAgLl68iJkzZ1bXAAA3b97EM888g7Zt28LBwQG9evXC+vXra7126tSpmDFjBtq0aYMhQ4YAALZv344uXbpAqVTigQcewOrVqyEIAnJzc6tfu3fvXtx7772wt7eHr68vpk2bhqKiIp01EZH+GBaILMSiRYvQr18/TJw4EZmZmcjMzISvr2/187Nnz8Y777yDkydPonfv3npdc+HChVizZg2WLl2KEydOYObMmRgzZgz27NlT5/lbtmxBu3btMG/evOoaAKCkpAQhISH44YcfkJKSghdeeAFjx45FQkKC1utXr14NOzs77Nu3D0uXLkV6ejqefPJJjBgxAkePHsWkSZPw5ptvar0mLS0NQ4cOxRNPPIFjx45h48aN2Lt3L6ZOnaqzJiLSH7eoJrIQKpUKdnZ2cHBwgJeXV63n582bh8GDB+t9vdLSUixYsAC//vor+vXrBwDo2LEj9u7di2XLluH++++v9Ro3NzfI5XI4Oztr1dC2bVvMmjWr+vFLL72En3/+GZs2bUJ4eHj18S5duuC9996rfjx79mx069YN77//PgCgW7duSElJwfz586vPWbhwIUaPHl09VqNLly5YvHgx7r//fixZsqTemohIfwwLRFYiNDS0UeefO3cOxcXFtQJGWVkZgoKCGnUttVqNBQsWYNOmTbhy5QrKyspQWloKBwcHrfNCQkK0Hp8+fRphYWFax+4MFwBw9OhRHDt2DOvWras+JooiNBoN0tPT0aNHj0bVSkS1MSwQWQlHR0etxzKZDDV3qC8vL6/+/8LCQgDADz/8gLZt22qdp1AoGvXe77//PhYtWoRPPvkEvXr1gqOjI2bMmFFrEGPNGvVRWFiISZMmYdq0abWea9++faOvR0S1MSwQWRA7Ozuo1Wq9znV3d0dKSorWsSNHjsDW1hYAEBAQAIVCgYyMjDq7HBpTw759+zB8+HCMGTMGQOXAyTNnziAgIEDntbp164Yff/xR61hiYqLW4+DgYKSmpqJz586NqomI9McBjkQWxM/PDwcPHsSFCxdw48YNaDSaes998MEHkZSUhDVr1uDs2bOIjo7WCg/Ozs6YNWsWZs6cidWrVyMtLQ3Jycn49NNPsXr1ap01/PHHH7hy5Qpu3LgBoHIcwc6dO7F//36cPHkSkyZNwrVr1xr8fiZNmoRTp07htddew5kzZ7Bp0ybExcUBQPWshtdeew379+/H1KlTceTIEZw9exbbtm2rHuBYX01EpD+GBSILMmvWLMjlcgQEBMDd3R0ZGRn1njtkyBDMmTMHr776KsLCwlBQUIBx48ZpnfPWW29hzpw5WLhwIXr06IGhQ4fihx9+gL+/f73XnTdvHi5cuIBOnTrB3d0dAPDf//4XwcHBGDJkCAYOHAgvL69a0zbr4u/vj82bN2PLli3o3bs3lixZUj0boqorpHfv3tizZw/OnDmDe++9F0FBQZg7dy58fHx01kRE+hPEmp2WREQmbP78+Vi6dCkuXbokdSlEVoNjFojIpH3xxRcICwtD69atsW/fPrz//vtaXQxE1PwYFojIpJ09exZvv/02cnJy0L59e7zyyit4/fXXpS6LyKqwG4KIiIh04gBHIiIi0olhgYiIiHRiWCAiIiKdGBaIiIhIJ4YFIiIi0olhgYiIiHRiWCAiIiKdGBaIiIhIJ4YFIiIi0un/AdhNr0ecnGVwAAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
]
}
]
}
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