diff --git a/examples/correlation3.ipynb b/examples/correlation3.ipynb new file mode 100644 index 0000000..4d9cd6f --- /dev/null +++ b/examples/correlation3.ipynb @@ -0,0 +1,1291 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# How big is that correlation?\n", + "\n", + "Elements of Data Science\n", + "\n", + "by [Allen Downey](https://allendowney.com)\n", + "\n", + "[MIT License](https://opensource.org/licenses/MIT)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# If we're running on Colab, install empiricaldist\n", + "# https://pypi.org/project/empiricaldist/\n", + "\n", + "import sys\n", + "IN_COLAB = 'google.colab' in sys.modules\n", + "\n", + "if IN_COLAB:\n", + " !pip install empiricaldist" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "np.random.seed(17)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Standardized slope" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "rho = 0.36" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.8413447460685429, 0.6405764332179913)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from scipy.stats import norm\n", + "\n", + "dist = norm(0, 1)\n", + "dist.cdf(1), dist.cdf(rho)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Someone with g = 1 SDM is expected to have gfp = 0.36 SDM on average.\n", + "\n", + "So if they're in the 84th percentile of intelligence, we expect them to be in the 64th percentile of personality." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def generate_correlated(xs, rho):\n", + " mus = rho * xs\n", + " sigma = np.sqrt(1 - rho**2)\n", + " return np.random.normal(mus, sigma)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1. , 0.35906859],\n", + " [0.35906859, 1. ]])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "xs = np.random.normal(0, 1, size=10000)\n", + "ys = generate_correlated(xs, rho=0.36)\n", + "np.corrcoef(xs, ys)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1. , 0.22148199],\n", + " [0.22148199, 1. ]])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "test_x = generate_correlated(xs, 0.8)\n", + "test_y = generate_correlated(ys, 0.8)\n", + "np.corrcoef(test_x, test_y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## gfp and g\n", + "\n", + "For this example, you don't have to believe that gfp or g are real.\n", + "\n", + "Some measurable cognitive capability,\n", + "\n", + "and some way to quantify characteristics of personality on a scale from less to more desirable, according to the preferences of others." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "g = xs\n", + "gfp = ys" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And here's what the distribution looks like." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from empiricaldist import Cdf\n", + "import matplotlib.pyplot as plt\n", + "\n", + "Cdf.from_seq(g).plot()\n", + "Cdf.from_seq(gfp).plot()\n", + "\n", + "plt.xlabel('Score')\n", + "plt.ylabel('CDF');" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "plt.xlabel('gfp')\n", + "plt.ylabel('CDF')\n", + "plt.title('Distribution of gfp');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The mean and standard deviation are near 0 and 1, as desired." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-0.006796445530111585, 1.0008011536496255)" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "g.mean(), g.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-0.007494755145973502, 1.0010584830037055)" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gfp.mean(), gfp.std()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And the correlation is near $\\rho$." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.35906859188655244" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a = np.corrcoef(g, gfp)\n", + "rho_actual = a[0, 1]\n", + "rho_actual" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This scatterplot shows the relationship between gfp and SAT in my simulated dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "from matplotlib.colors import ListedColormap\n", + "\n", + "def scatter(df, selector, color='C0', title=''):\n", + " cmap = ListedColormap(['C1', color])\n", + " subset = df.loc[:1000]\n", + " plt.scatter(subset['g'], subset['gfp'], c=subset[selector], cmap=cmap, s=15, alpha=0.3)\n", + " plt.xlabel('g')\n", + " plt.ylabel('gfp')\n", + " plt.title(title)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df = pd.DataFrame(dict(g=g, gfp=gfp, all=1))\n", + "\n", + "scatter(df, 'all')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Predictive value\n", + "\n", + "Reduction in variance" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.1296" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rho ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "import statsmodels.formula.api as smf\n", + "\n", + "results = smf.ols('gfp ~ g', data=df).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.7485517889663356" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "MAE_after = np.abs(results.resid).mean()\n", + "MAE_after" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.8001193291587837" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "deviation = gfp - gfp.mean()\n", + "MAE_before = np.abs(deviation).mean()\n", + "MAE_before" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.06444981181327591" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "improvement = 1 - MAE_after / MAE_before\n", + "improvement" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So we can say that knowing $g$ decreases the MAE by 7%.\n", + "\n", + "That is certainly an improvement, but notice that it sounds less impressive than $R^2 = 0.13$ and much less impressive than $r = 0.36$." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Classification accuracy" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.615819209039548, 1.231638418079096, 1.602941176470588)" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df['smart'] = df['g'] > 0\n", + "df['nice'] = df['gfp'] > 0\n", + "p = df.query('smart')['nice'].mean()\n", + "RR = p / 0.5\n", + "K = p / (1-p)\n", + "p, RR, K" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.7040557667934094, 1.4081115335868188, 2.3790149892933625)" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df['smart'] = df['g'] > 1\n", + "df['nice'] = df['gfp'] > 0\n", + "p = df.query('smart')['nice'].mean()\n", + "RR = p / 0.5\n", + "K = p / (1-p)\n", + "p, RR, K" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "According to https://www.statlect.com/fundamentals-of-statistics/Jeffreys-scale\n", + "\n", + "This value of K is \"barely worth mentioning\" or \"anecdotal\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Prevalence of having it all" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.0486, 0.1088)" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "\n", + "thresh = 1\n", + "both = (g > thresh) & (gfp > thresh)\n", + "combo = (g + gfp) > 2\n", + "anti = ((g > 1) & (gfp < -1)) | ((g < -1) & (gfp > 1))\n", + "df = pd.DataFrame(dict(g=g, gfp=gfp, both=both, combo=combo, anti=anti))\n", + "both.mean(), combo.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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fTfbi2DXaZWDjA1bmuFO4a6vAylkgMc65TxIPBAbiQXz+aO5KOiUT8ePUSFwG5l2ga9jwads9NX5NRadv7dOKJK4HSWwk7m2UZoG5l4F+ixUmGx8Cgw9RbbjD3VsPDDoVoNcCsluGVUYyTEv16oAvu39rexBh9oDyPPdfDwPpQ0Dk7l2D8XQYo8kQ+pYNv6bua+v7+wmD8SA+Wa+jZ1pXjNftvoXR5P6lFiV2hiQ2EvcuLBNY/wBwTCB7hI/120DhApA9BiRG93d99wv0EGc6GV1AFy3O+23AF+QfibsHyyBRL1wkUbcMoPAJcOQrQHyEz+k12Oem2+D4itQhenP2EKqqIKhKX82t4FA2jOO1GGbzLJUHHExlIzg8INN49xoksZG4d2G0OUU6lPIe84eBukGlAZLY7ArRQSA1RUIYSrHcuNcSk7nvsS9lsw9Ul4BujYQsOXHvrXE3MHtAY4N7HR0E/PRloLrErsPJcc9zU5ojgY8N87xn/oKpQk0HbIPX7shXvGNI7AsCPg3PHcliOhtFo2cg4vdhJBmSU8nvQUhiI3HvQg+xS2uvAfhFcDN7gKJRwpfwYNsMojt5j1QNmPoCEM4A5VlA9QFjTwG5E3d/nTeC2aOaUbwomto5rN46/LznDbof0MwD868AzU0atUNpYPJZID0t+tg4243E4RTQKgr15iK7FWeOMNVqm0zHlqfueKdigF2JL282MVtowHGA6VwExwbjMngL6JqKiYz87rnXIYmNxL0LTQeGHmKQqCzy514DyB1nwJMAbAvYPMeAaPWpBAw9cu0Ebn8YGH8KGH2CJcj34rygyiLPIzlBQ7NtA+UZIP8JcOi5nV/Ta9JD5AsA4ez++65sG1h6A2hsAqkJQFGB+hqw+DqVGz0CwBHdh8XXb68JxAb5c2OdJm/3PFQf04XN/F1Z/tnFCj5YriIiBhe+NlNCrW3is0cycsaUxH0DSWwk7m0MnOIXe/EyYHaA0ceB7HF6RiSA9Q+BhVeZrtF00QiuDBx/cefy4v0O/DdCu0jC5VZpqSqHR9ZWdn5+/hNg5R2mKzU/FZHJ5/bcj3JL6FRIQuJDHnGJjwDlOSo4yXESt9IsEEwARoef5cGHdj5fxwGsHhBI3PGlV9t9zOQbGIgFEAtS+Wt2TcwVmzg5Ekd6Hxuu3Q46fQuFRg8AMBAPIKhLT9GDAhkdJO5tKAp7rch+K9fC7LFdfzDuNdsLJqh81FcZ6O8n6GEqGY7jKUpGe+dGgo1NYPGHVETS04DZpXIViAETn7m7694KVeWatjbBc2w+pmhMrx5+HshfAGrLVB5zx2gQBqhGVhZIfAIxoFtnxVTmzl/LrmGjZ9rIRb2wEA5oKDR76Bg3Lmm2bQem7dwzKavVagdvzJVQavagAMjGAvjMdAbDCVnB9CBAEhsJifsVZo938/6Y95jqYyA1e/u3rttFapLpmvIslQu3xH8nL1Bzg7/PHuXPepgeotIs02371ecomKQqs3mOSo2qsQ9TbBiIDYnnxIGJpwE8fe3r48PA0a9SjWqXgKFJYPDUXfEYxUM+RAPsqJuLUe2rtPqIBX2IB3cOFY7jYK7YwsX1Bpo9EwPxAE6NxDEQ279qu55p4e35MmptA4fSETgAVisdvD1fxosPD2+bQi1xMCGJjYTE/Qp/lL6S2gorZhRFVBMFaVi93xBKsfpn4yNWFCVGgcHTbMh4DXbwezg2icROv7tbUBShGCmsgHJspp4mnt195+HE6L60Mgj7fXh4NI63FyqYKzahANB9Kp6cTF1JTV2NhVIbP7hUgKooCPs1XN5soNTs44WTg0iE94dcllt9lFo9jCZDV3r0DCeDWK91UG71MRiXLQ4OOiSxkZC4X6GqVCd6DaA0w8c0HRh57P6dAxUdILmxLZG+uQ5JiY/QV1RfAyID9F91KvTY7Lf/KhDjOXSrTKsFk/e2t2kLTg7HkQz7sVHrwnEcDCVDGElcnwhc2mwAAEZEk7pESMdssYXlShuJ8J33Be0EVVGgQoFlO3AzY5btQFUVqNIA/UBAEhsJifsZiVHgxI9RtbFN+jFiI/dm1dOt4GbN4yJZ4NDnaR6uLVMNGX70rpRE7wqKsr3/0n0CRVEwkgxdISo3guM4aHbNbaZcRVGgKQp6N/Hk3ElkowEMJYJYLrcxlAjCcYCNRhdTmQgy95kBWuL2IImNhMT9jlDy2vLuex2OQ6VJ9d1+FVP2KJAYAzpVEptQ6v4ndPcRFEXBaCqED5arSIf9UFUFXcMCFCC1jwRCUxU8ezgDXVOwXusCAI7konhyMi3HRzwgkMRGQkJib7G1qmknNAvA6tv00ag6m9GNPn5706/1EP9I3FV0DQutnolDmQjy9S7mSy0oCqApCo4ORPd9qGYy7MfzJwZR7xoAmCKTfXgeHEhiIyEhsTdobLAaqJlnqmjwtDf/yIXRAeZeYk+X6AC77a68xd9NPnvXl3xH0Nj0UoOxIU5Qv088NjeD4zi4sFHHudUGWn0TIV3DdC6M44Mx9C0H8RDHDNwLlUeqqiAZlqmnBxGS2EhISHx6tIrA5e8wLRRKeKMBjn3dK3MGaPZtbrJvy1YfTekyPTL72VxvL1CcYafsfhOAQiPz6JPs+nwAsFLp4I25MgI+FdmoH82uiY9W6vjSiQEcH5azrCTuDew/rd4lvvWtb+Gpp55CLBbDwMAAfuqnfgoXL17c72VJSEgArMrqVDiFPZJjQ8Vegx2jt8I2ATjbSY2m83HbvKtL3nOYfWD1LACb/p/sEVZEbXwItEr7vbo9wXK5Ddt2MBALIuDTkIkyfbhQbO3zyiQkPNw3xObll1/Gz/7sz+KNN97Ad77zHRiGga997WtoteR/KAmJfUe3xtEXW6GHWPK8FZEce+64s49si/+ODrFM+l6B49z6a3p1oFdjo0AXoSTQb1+7D/cpTNu5xquiqgpM+zb2S0LiDuG+SUX96Z/+6baff/u3fxsDAwM4e/YsvvCFL+zTqiQkJACwY3D+E2+4o21xuOPQme3PC6c5WXzlbaHmKExVjT11b1Q0VZeBzfNAp8x1DZ7efU8gPURy1295JM/oMh11QAzOI8kQLm420OyaiAZ9aPdN9AwL4+mDcX4SBwP3DbG5GrVaDQCQTl+/w2qv10Ov57WWr9frd3xdEhIPJDJHgOoihz0qmtdxN3fs2ucOPcxeO+0iSVB85N4I/LUVYOY7JCOBKLD5MadtH/v67kYa+CNA7iSne5td7kO3xkGu0cE7v/67gEOZMB4eTeDSRgOFZhd+n4ZTI3FMZ6P7vTQJiStQHOd2NNf9hW3b+MY3voFqtYpXX331us/7x//4H+Ob3/zmNY/XajXE4/E7uUQJiQcP/TbJTafKeUipQwz2dxNmj5VW7oiJW8HMdzmc0h046Tj0Dk0+B4w9sbtjWCZQvEjztG1xQOfgqXuDuO0RHMdBsdlHs2ciEtCQjQRkf5j7BH3Txma9i75lIxX231cT2+v1OhKJxK7i931JbP7u3/27+JM/+RO8+uqrGBsbu+7zdlJsxsfHJbGRkDhosAxg7QOSCqvPNNLok0A0t/tjfPz7VFi2VnFVFqi4TH/Re6zXEKpOjHO5JCTuA9TaBl6bLWK92oHlOIgEfHh0LIHTI4n7osfPrRCb+y4V9XM/93P4wz/8Q7zyyis3JDUAEAgEEAjcRtMvCQmJ+wtrHwCLrzFlpIeptPSaHDex2xLy2DA9NpEB9p2xDP6JZAHbpido5i+A2iKgR1n5NfYkkDt+82M7DtN0xUtcV3IcGDgJBPdnntLtoNkz0TdtxIK+PetT0zMt1DoGApq2b0MzHxR8uFrFcrmNyXQYPk1FudXHe0tVDMSD+zqN/U7gviE2juPg7/29v4dvf/vbeOmllzA1tdPEXwkJiXsaZo+N/ByLBCKwB94Ms0elJpwmCQE4+bwyx1462aO7O87ACT6/dJneH8cG0oeZTlp7Dzj/39mnxh8G1DqVIaMDBOJAfPja47WKJFjdGkvBK/OA5qfKs/wme/ocf/GOpKmq7T6Wy210DBuZqB8T6fBtk5G+aeP95QrmCi30TBupsI7HJlKfurvwfLGF95YqqLUN+HUVU9kInphMIeC7yZwwiVtG17CwWu0gE/HDJz4H6Ygfc8Umio2+JDb7hZ/92Z/F7/zO7+AP/uAPEIvFsLGxAQBIJBIIhQ5O/lpC4sCiWWDzuuYGSUMozW7D6elPd1xXWdlKEFSVKoll7P44oRRw7EeAyiLTTaEUfUJWH9j8COi1gPgQy7n7TcBs0wBdW7mW2DQ2RMPCCqAFgNV3WCl15CscHRHOAuV5KkSxQaC6RIIWStF0rd2+erFZ7+LlSwVUWn1oigIbwLHBKJ6cTGGz0UPXsJAI6RhOhKDtwhvzyXod7y1VkYn4EY34UWz28NpsEV8PDt12Z99yq483ZkswLBtDiSC6hoWPVmoI6Roem7j/hofe61AVBT5VgWV5zhPbceA4gE+799NQt4r7htj8xm/8BgDgS1/60rbH/8N/+A/463/9r9/9BUlISOwetg0svc4qo9QkoKhULBZf//TKjT/CNFLpEpUaVQXaZaakXAVntwjEgKGHtj/WKYsSbj9g9/mYHgG6DZqFHfva42yeo4k6e5TkqhjncZp5pqHcBoW1FWD1XaC1CUDlvgycBKa+wDLxG8CwbKxUOqh3DIT8GkaTIYT9Gj5araHeMTCdjUBROJjy3GoNi8UW+pYNBwxyxwdjeGY6feUOfiuq7T4Wii3U2n18uFZHPKBfITGjyRDmSy2s17q7JjbtvgnbASJ+DYqiYKPWRb1r4HCO113XVPRMG3OFJh4eTey4Jonbh9+n4nAuirfmy9BUBX6fikKjh0wkgOHEwVJrgPuI2NyHHmcJCQkX3SqDenyYaR6AZd7lOaCV/3TERlE4RLNXZ/rJcUhqRh5nQ8BPC3+URCYQB2rLgN5jvx7Hpkq01WzsopXnaAmA5xtOkcj1RENRs0sC1lijqpM5yvMwOkDhEyA9xT/XQd+08cPZIi5vNuCApzycCOKZ6TRKzT5SYf8VQ2hQ17Be60DXNHxmOgNNVdDpW/hko47RVAiHstsr14rNHl6+WECx2YOmAhfW6khHA8jFAvD7VCiKAgeAtYumfJ2+hfeXK1gstWE7DkaSIZwZT8Le4ftcAXguNz2qxO3g9EgCpmVjtthCp2NgOBnCYxNJxIIHz9t03xAbCQmJOwzLoMfE6LJjbnRw75rmKQrVCNvyHnNsPqbsgacimqNRuL7qGX4jub1ZfzAODD5EcuYLAOUFwDaoxkx9kUMur0Y4BxQueGtITNA43FgFWhscsZA6xBL5+LC3Tj3EPbpJp+LlShuXNpsYTYQQ0DXYtoP5Ugtz+RYifg3FZg+dvoXNehemZWOp0sFj48krqaeQX4PjOCg1e9cQm4sbDZRavSuKT7tv493FCibTYUxmwqi0DYR8GnKxmxdmvLNYxrm1OnLRAFQFuLTRQLtv4cx4AmG/RtUg6kfftFHpGHh8InlPDNA8iPD7VDw1lcHp0QQM00E06NtVKvJ+hCQ2EhISrNSZe4l9aBybAXzgIWDime1znW4XwSRTMJvnqNSoGlDfoL9kJ8XjduAP794ofKsYfZxkrzzHFFMkAww9cv1y8sFTQH1FmI1D3N+pL5HQNFbZ0NAfAfLnAKvnjWGwRVrr6vEUV6Hc6kMBENB5bVRVQSKkY63WxSNjCbz/dgVLlQ4CqoquaaHbt1Bq9OE4HIngOA5sx3v9VuQbXcQC+hXFZzoXwUq5jeVKGw5YJvz4ZBIDNyE2tY6BpXIbg7HAFVUgqGtYq3bx6HgSTx5K4YPlGhZKLeiaiqMDUTw0ujdVYpbtYLPeRbtvIR7yIRcN3BclzXcDYb8PuH/a19wWJLGRkJBgl93SDNMfmp9pnfX3qSbcICWyaygKMPEZ/ru6zKqo5Dgf8+0QILs1pq4UlcTnbjf6uxqqyqGW2SO7e358BDj2IiusOlVgaAjw6cD8D4DDz3vm4H6DZDKc5Tm2y3ztTirQFoR0DZbjXCEqANAxLGSifgwngkiGA+hbDnRNQTYaQN90cGG9jtlCC7lYANV2H6mIH2OpawsvUmE/ZptNALwufk3FoWwYp0cSmMhEkArru/LWmJYN03KgBz0FRlMVWI4D07JxcjiBsVQY1bYhpoXvTaO/rmHhhzMlzJeasGwHAZ+GE0MxPHkofWAVContkMRGQuJBh+OwFDmUIqkB6CdpbLKSaS+ITa8JtApA9hgw/Aig+Ph+6g5ph9IssPhDpmMcMJ0z9XkgMfrp13E3ERvkHxcbHwOwt1c8paeZigulAccERh9j2usqz1Gnb6HU6sGnqsjFAhhPhZGLBrBQaiEZ9qPds6AqCo4OxNAxbET8Gp6dzlxJ6zhw0OwZ8PsUGJaNyUwYD40mdyQoxwZjWKt2sFBqIaRraPZMjCTDeHwydUt+jERIRzbix2aji7FUGAqAfKOHREi/MhU8FtT33ONxabOBy/kGxpJM0zW6Bj5erWEwHrwm7SZxMCGJjcS9i34bKM8ywAai7ClyK51kH3Q4jjeU8kYyvKKwJLnfuvoAn6rs+ApKs6x+6lbAoZfD7OS7E6npt8SspR6vNxyWXy+9AZz6xt6s507Atlgi7gtcvy9NMEFCZ7RpbgZoHB44CRz/MV6HHfZkvtjCOwtlVDsGNAUYTYXxmekMPn8si/NrdRQaPeTiAZwcjmMyE0bXsBEJ+FBtG1d8MI2OiYFYAFPZCKJBH04NxRG5DqEYSYbw5RMDmMk3UW0bODYUw9GB6DUExHEcNHomVEVBNHBtKPFpKh4/lMIPZ0tYLLVgA0gEdTwxmdrx+XuFhWIL0YDvSpotFtRRbvWxWe9KYvOAQBIbiXsTRheY/T6lfD3EBmeFi8CRF+6/O/f9QGWBCsEVP8jDQOIGnboHTgKz32P6xx9hc7lggumiT4Neg+qL2aM6YdtAdQFYfovDJa8O5K0Cy6JT04KMKUyHNfMkAbudtL0buEpVZZGpscQE13iTMutrUF1mn5p2mYpX7iQwcuba48RHuM+b53hutkVj8sgZQNvZx1TrGHhzvoRu30JE11Bs9fDDmQI6fRM/9dgYBo4HYVg2fKpyJSUV8ms4PRrHW/NlLJZaUKBgpdrCWrWLtxdKUBUVY6kQ/upTEzg6GNvxfYcTIQwnrt8frNLq492lCjbqXahQMJEO47HJJP0bVx3nxYeGsFHrwnYc5KLBO95hOOBTUbmqYstyHGlKfoAgiY3EvYnqEo2a6WnvLr00x2Atic2NUVsBZr7HxnKBGBvBNTfp+YhdZ8p09hhg9ICVN7nvepgzkoLJT7eWZp7kKjNNv4ymUrGprzHVdPXUbFUX08FNXHE4WiYfM9ocUgmHFVu7mbh9I2x8SNLlOFxb/gIw8hgw+dndV1O1yzRd95tMmRkd9uvx6cDwo1edmwYc+hwJZnMT0ILs6XMDFbLQ6KHeMWDbDi5sNGDZDnqGhe9fyOPwQAwPjyZ2DNinhuOIB3WsVNqodUx8uFqFY9uYyETgAJgvtvF77yzj//sjJ+D33VrANyyWmq9WOxiIBmE5Dj5aq8F0bHzhaO4ak27Y78N07u5N/z48EMVKpYNis4eI34dKu4+wX8PoDn6i20G9a2Cj1oVpOchG/cjFpDH5XoMkNhL3JvoNXJMKCSXY6dUyb/2u+qCj16D5t5ln6qffYNUOQAJQnKE6cT1io2pAOAlAY88WPchuuwqAyc/tnDbaDRTxOsfhsQAqFaq6c7VVdJDEtbIExAao8DQ3Wb499wrQq/FYgTgJSO7Yra/JtpjeXH6HBM5VgXp1IP8JZz9tbexn9r2p5XqIZCQglI76KslNVvSh8UeY/itcAgYfvnbfNJ3P3WX1lqIA7Z6JfKOPkK4hEvCh3TdRavVxbrWG44OxHYmJoigYT4cxng7j3aUyWj0T09kodDGuYDIdxkq5g4ViE8eGbm0gcL7Rw0ath/GUN6ZBUxQsl9uod8x9n/k0nY2i07dwYaOBaqePeEjHI2MJDMY/fSO6tWoHr80UWZWm0MR9ZjyJh8eSn37hEnsGGR0k7k3oke0eEYDBOzm5N+XHBwn9Ftv3l2bZX2XzHL0eiQmWKAPsmttrXv8YtsV5SI4JDD8sjtsENs+zNDk+cntriw2zqqmywJSSbbH78NAjOw+A1Hzsuut7m+XSUIHB0xxRYHbou1EUKj7Lb3Jdt9Lcr7YKrLxNFWvjI6aGwml+xgJxoJEnwXGJjdkDZl9iDxpF7FN8lKMRwml+PhV1u8Kj+qiWORbX/ykwGA8ioGsoNLo4nIuiZ3Bo5GQ6jJ5po9E1rhhxrwtHAZTtje9skGjejtJgWQ4sx95WYeTTFFg2YLrl6vsIVVXw8FgSRwdj6BoWIoG9Gdpp2Q7eX66i0TGv9Pgpt/r4cLWGsVQYqcgBr6G+jyCTjhL3JlKT/FOaZRArzTFYD57eu6ZxBwXleaboWkUGbssE8heZagHEsMbujfvF9Fv0sLj9VAB23LX6LL3eLdplrqexQbVFD5KoJMf5u16TVT/jT1//GKEUcPSrwEM/DTz8V0iC+k0gOuRd+9gQU1nt0u7X1q0xbVRfY/pHD7HMvbLA3/caXK9/i++kskhSk5wgwcscAWpLosIJTD9pOtUcgM0B22U239sDo3M04MOzh7OIBXUUmj20DQtjqTAG4gEEdBUh/81J/rHBGEYSIcwVmmj3TTR7BpbLHUxmwpjM3LqZNhP1IxnyY7PeZT8c28Fmo4ts1H/bs6PuBIK6hmTYv2femkbXQKnZQzbmdXVOR/xodk2U2/09eQ+JvYFUbCTuTegh3hUXLlHuD8Qp30t/zbVoFUSr/xBTOaEUDbgrZ5lmUXzcu8zh6x/DFwR8YRIIVwGx+vS23KRZHACqa6vvAhsfcGyAz09/1KHPM/114scZ/FWVvp2bkVNFYZqovipGETSBYIfHddem+rzy9N2gvsZUpju+YOAUsPwGK66MLs9z5NHtaah2ic/1+Zm+qi6IMvg8kD4ExMeA0SeA9Q94bEVlefzQw7tf103wyGgCLz48hPeXK0iGAwj4VHT6Fp6YTFxj1t0J0aAP/6+nJ/B7Z5exVulAURQcHYzg//Hk+C37awAgEvDhyUMpvLVQxnypDQUOMtHAge8T4/ep0DUVfdOGy99c47ZfGpPvKUhiI3HvIhADxp4A8MR+r+TehmMzfRIfEd6VIJA8xLTSwGkSjOT4zo3wXPj8wNBpYOEHJEmqToUjc+TG1VQuasvAylskoJkhpo02z1EBGn2c6cNI5ubHcWF0gbmX6RtyLJKSyjww9jTPo5nn2m6lSso2IfIv4px1/twu06w+9iQw/Nh20uUPM/3ULFABs00qYv0OMPNd4PiLfF3qEBUvn5+pqj0sS++ZNuJBHX5Nw3K5jbFkCM8dzeL4dSqadsKJ4Th+6avHsVBqQVUUHMpGENyh6/BuMZ2LIhsLoNDoQVUUDMWDu1KP7meE/T4czkXw7lIVpu3ApyootfoYT4f3xL8jsXeQxEZC4n5HahIIiiGLgSh9If4IkBhhKfFug//AafazKV4ksRh8iB6U3QTp+gaDvluppIfpoSnNstLoVtOHpcuctZSaJJGJDrBEvLnJNNTwox5h2i0iIv3ULvF1G+cA2Gz+lznC/StcBMaf5PkXPuFz6qvA2rsAFJZnByLc126DKdLYEFNbd6DHkmU7HHaZb2IgFkQmEkDHMNE37VuegB0OsDppqdzG+8tVRPwaJjIRJEK3R8LiQR3xAzhA8UZ4dDwFXVMxW2jBtB2cHonj4bHkbSlfEncOkthISNzvSE0Bh7/M1JMmutgqKolKOHvz17tQVVYZ3U6lkapdO5b5ypDL20hPVJeplrgqUzDBaqX4GM/VH771Y0YHqa6svkffTHMDyJ1gms4fZQqvNMN01MIPgPx5Ph4bAoqXeY6Zw1SwooOslurfwJC9B8g3ulgstTAuuugCnBN1cbOB40OxXaWiXHQNCz+4XMBcoQWfqsCwHVzKN/GlY7mbG5AlADAddWYihdOjCVi286lUL4k7B0lsJCTud6gacOxrVBPqa3wsPiYGWN6lO8nEKMlGfY1kymixc/SNTMI3gh6iEXcrLJPneDukBiDBGnmM1WKLr9JTM/rEVa0DHKpCpVkSGD3MFJ/REaXgJ6iKWX0+Fh/2Xtoqkhh1KsITduxTqzhdw4ZpO9uGVYb9GkqtPrqG5/XYDZbLbcwXWphIs0zbcTgR/MJ6A88dvTGxqbb7KDb70FQFw4ngAx/QdU3Fp9mCUrOH1WoHhmkjFwtiNBU60P6kuw1JbCQkDgJCKXby7Vb5824MunuJ2BCbz62+y3JuX5DqSO7E7R0vPc10VH0VCCR4Xr7A7c2t6or+NNUlpuhyx4HxZ+ib6ZS8xnqdCjD5HFN5tuGNPQCo1DQ2SHj8EZZ+544yhQXQ83Ppz4HGGv/dzDMtd/In2G/nemMWboJ40IeQX0OtY1xJGZVbfSRC+i2PJah2DKiKcqVKSFEUxIM6NurdG77u0mYD7yyUOT4BQC4WxGePZDAQk76S28FyuY3XZoqodQ2oAFRFxcOjcTw1lZaN/vYIkthISNxLsEwGcVUjWbkVKMqtv2YvkTvOPkO9OomNbZIMBKK3vq7kBDD1JVFl1aAJeeiR3RmZt8LoAnPfZzflYJL+mtoyMP1lEo7Vs/ydL0hP0dBDLH33CS+O49A8bAj1afQJwOpRkUmMe1VahQusiup3+PrYMFNdl/6M6bjDX761dQukI348NJzA+ytVlFs92A6rnI4NRpFvdOH3qchGdjcVO+L3wXIc2I4DVQTQVs/EVPb6fYBqbQNnFypQoGA6E4HtAMuVFt5bquKrJwf3ZBr3gwTLdvDhchUdw8Jhse/NrolPNho4lI1gQJqQ9wSS2Eg8GOhUgOIsy6AjWd6B79Qgbj9RW6FBtlWgYTc1RWXhdlMv+wE9yDLs5bcY7I0WFY7Bh0kKdpsaUxR6fdLTrLDyhW6v23RtmV2MM0e8Ro+1VfavOfWTJFCdColNJCtKu4Oscjr3+0C7Qq9QMM6+OoOndn6fZp4kqF2k0VnTAbPNa1eZBzpnbot0KoqCR8eTVyqQNJXpqY9W66h1OK17IhXBZw6nb+q3GU+HMBgPYr7YQjyoo2OYCOgqjg1dn9gUWz00eiamMmEoigJNAXLRIPKNLhrd/e8yfL+h1TdR6fSR3pJDjAZ9yDe7qHUMSWz2CJLYSBx8tMvA5b9gikQPsdqlNCt8KfcIuek1gfkfMMjGhgG7D6x/yGA89fn9Xt2NYVteo7xwhimk1bP0l8SGeE6rbzM1c6NeOjtB8wHa7suar4HR5t/qlq86f4QqkNWnmnR152JFIZmJ5KhAaX4ADj8/7fLOM6oiOTbtsy1hpLaFJyhJr9DVfqFbgKp64xFKzR7+9NwG4ACHMmH0DBuX8g1EAxqenr5xOX0sqOOLx3K4tNnAeq2L4WQQRwaiGEtdnzj7VAWAA8tx4BMqj2k70FUVPk2qNbeKgE9FSPeh3WdHZIC9cDRFeeB9S3sJSWwkDj6KlxmUskeYFnBsPlacEX1y7gE01mk+dYdFIghELaZJRp+4d1WbVhFYfI0pJ4BExujQD+OSxnCaPXGqy7dGbByHpAggQdhJ7bFtPsexxWiEq4JDMMH9NLpUkwA+P3XIazzYqbARZCtPVSU+RhP0wEnvHBzHm8W1E7EZOMnPVGWOnYy1gOjirLBKbY9ShJv1HppdE4fFUMmQX0M67MdCuY0zE6mblh2nIn48cxMCtBWD8SCG4kEsl9vIRYMwbRulVh+PjCWuBGaJ3SPg03B8KIo35sowqjZ0TUWta2AqG8FQQqo1ewX5yZQ4+GgV2HvEHcioqCQKrcL+rmsrHFsMidxyF6xogOPOHLoHYZnAwqtM97jel+oS0Crt3DvnVoyR3Rqw+AaPDbAyaeIz20lFpwos/ZCpJccmqZp4dvt7x8fo/Sl8wutumyQZw49wPd0a1Ty3B1B5gb1sjC1djgEADp+vXIc4RAeA0z/F8vCVt3jtggmSm/Gn96xh305b6AjPzJ3wnQZ1Dc8dyeK9pQo2Gz1oIjV2Zjy592/2gODUcAJ+n4aZfBM908LxoTSOD8X2bPSDhCQ2Eg8CwhkqH44ITo7DwBXe/Z3rHUd0gJ2WmxvskWKbLDseOMlgeS+iVaDSlJjwSEBCzITqVkXZc4wERFHY/Xg3sG2qQMUZUU6tegM+j/8Y01O2TVJTnGGnX0UFqiuA9QNWIrnr0XzA9BfZ6K+5yUqn5ASvfbfGQZj1VTGdWwSW4gyVn2aef2t+KlKh9Pby7qsRyQJn/p+cc9Xc5PHiw7ef7jS69OyoOlNdqoqheBDxoI61age5WAA900a1Y+CJydSuA6NtO7dk+s1EA/jKyUE0eiZ8qnJLvXO2otLqY6HYQrXTRzYawFQuesuVXbtB17BwYb2OhVIbmgocGYjh6ED0lhsa3imoqoJjgzEcG4zBcRxZCXUHIImNxMFH9hgNnKUZ+iv6LSAyeOt+jzuJUAqY+CwnVpfmmHZJTbJk+l784nONzpvn6R9JTpJMKAoDfGqKwb1T4Z6PPcMxDy5si8TItvj8reMe2iUePzHqlVynJqjMtPJUbzoV/hwf9dJ0yQkOqGxubidRmk7ikj3KnzsVYOYvqAYVLrG8OznhlWQHot7crfI8YFeByAD7AgV24feJZG5tfMROKM8BS2+xHF318XwmP4dUJI6nplJ4Z7GC9VoHuk/FqZE4Hhq9OXlaqbRxYaOBWruPTDSAU8PxK2ZVw7KhANcN/m5p+O2i1OzhpYsFFJs9BH0aLm42sVRq40snBvY0pWXbDt6YK+HiegOxkA+2DfzgcgHtvoUnJvexYvA6kKTmzkASG4mDj0gGOPo1eiBaBU4Izx7b2Suxn8gd4x1+q8hgHB3c05lDe4bSLKdk91pMky2+xmqzwUfZxyU+TNXCaJNEBmLbCUGnIlJYK8IbkwMmn/XIiGNTkVG2+GVcb5Rtec9xOxtfeY5Q4xz7+mu3Lb53eZ6pq3AKWH6HoxPGHgeg0FicPQYceo6jEywTCCXv3rXo1oCF11gNlpwkcSxchqUGcSHyBC5vNmFaNtIRPx4eTWI6F7lpgFyrdvDypQK6fQvRgA+XNxvIN3r47OEM1iodLJbbUFUFh7MRnBpJ3NKIAMOyMVtoYrHUhqYoOJQNYyob3dZw7tJmA6VWD9NZrtWyHSwUW1gstXFqJH7bW3U1Cs0e5ostjKZCV8y41XYfl0Wn5juhEEnce5BXWeLBQCS7fWrzvYqrScDdhOMwjWT1qCDt1FTOtpm+sS02qItmWb1VuOiNcZh8jiRAS1ybhnEcYOlNelmS40z11FYZyE99g+pLOM3US32NSgoUPieS5eMAnxMbYvopOUFSU1vhc6KD1z/H2ip9QMkJqkSZo0CrDBTOU1myDVZLlWap5OSOUzmybaYvtcB2E7Ntc7+ufhzgHt3OSImGULoyR/haVQOiA9hYuoi31AH4QzGEdB/yjR4+Wq1hOBm8aXpottBEp2/hUCYCgP1xZgpN/NEH63AUIBXWYfRtvDlfRte08ZldGowdx8HbC2V8vFpD0KfBcYD5YhONQyYem/AUkkKjh2jAd4WAaaoC3aei0u7d2t7cBF3DgmHZ2yqMQn4NhWYPXcOSxOYBgbzKEhIS9HMsvc6AbvWpUIw95aVvXFg9+meC4i47lCKRCUSA4cdpIi5cpHKTmuJxtqJbpaclPuSlnxLjrCZqbrBvjaazed7Cq0Bl0Su9nvysV9mkajQKWz9g+slxSGomn/OesxW9JgnY6llg/X3AstjFWA9xzILm4yiI5jpTP47JWVHVBSA2Ciy/wflSegiY+gpw6seYMlv/gOcUiNGonJyg0lS8yFSXLwgMnKIC5BKfdlns0Qb3b+AESdo1cOCayS3HwWath8ighrRIH8UCPiyU21irdnBk4MZkuN4xENI1GJaNdt+CrinoGzY2Gz0cHohgvthC37QR8Kk4t1rD6ZE4YrtIPZVbfczmmxiIBhENMpxU2n1c3Gjg6KCnkGQiAWzWu4BYpu046Fv2bQ/gvB7iQR2RgA/Vdh9J0Sum0jIQC+qIBWW4e1Agr7SExP2KTpVpCz3sNZe7Xax/wD/xUQbjVp7EIpTarnRpAZZeNze3lELbgB4lMSnP0OxqG0D+InD0hZ2VsqsHZuKqtceHaQJubpC0RAevLXmPDojnbHIN0cGdSY1lAguv0E8TiJFQLb/ONQ6cALoVYPgM1ZuFCpA+4pGQxdeBD/4r0G+Q8Fh9Hqc8w+7DVpdkZ+Vdjm5ITwFGE/DH+O92GZj9Ls3gQw95VVjNda6lvgJUF5kqdY3JsSHue231Sk8ju76JWnAUWtAjMKroMdMzb5B6ExhOhPDBSg2X8010DQsqgEbXhE9TcHGjAZ+qQtcUrFc7yDd6qLWNXRGbdt9Cx7AwnPDUvWjAh/VaB+2+eYXYHB2MYqXawXyxhZCuodU3MZwIYlIoSHuFVMSPU8NxvL9cRaXdhw3O1np0LImAT/aJeVAgiY2ExK3AcegbUX07B9G7AdsG1t4DNj7kdGlfkGmLyc9uN+HuFpZBY3U47TWri49QoWisbycmqspS6dmXqO74/BwjEIgysGeOUP1w+77kzwNTX/BeH0xS2SheBNRxHs8dnBm9SrXQRQfgG8Hn324UNjo8nmNz3aEUiU95QfSuEfuz8g6VG9hcz+SzTGsp2vaUUn2Ne5CcBCJpnldlAbj8ZyRWsWEqL47NmVbleSpS6UmmsSJZvn7zPOdmleeoZrlVWO0yVaT6BnD8a1R2gnE2ZVx6k6qP5oNv6AR8xnGUyz3Egj6oioJG14BPVZDcheqRiuiodwyUWz1EAzoMy4KjUMmJhfwYSPGz3DUsdPoWGj02FHQcB13DQrHRR7nNIZijyRBSEaohEb+GgE/dNsuq1jEQCWyfZTUQD+LLJ3KYK7RQafdxKhbH4YHorsjTreLRsSRysQDy9R5UBRhJhmRH3wcMkthISOwWrSKwcpaBSfUxCI2cuT0ycbtwHKZFPvq/uYbUIXpDNj5kEB858ykOfrXiI8y4VyM9TeWmPEeSlxhlaXThojf2QFGo6NTXrzqkwuoi26RaYQsCMvo4Z0yZ3ds3dTfzwNzLnoITiPO9NL/wu/hIcOorJBWan0rN4EM0DLeLQGmeZEbVgNiIKPneQmIVheSnJdJIgTjJhztEU6GKguIMVazpL1BRM9tUe7pijpai8vO0/j4N7WaPay9e5hyr5CRJU7sEqDqUcAYn2wZKRhHzpRYs20a5aSDoV/H6XAmHcz2cHI5ft3ttq2dhLBXCscEYau0+IkEffKqCN+ZKUABs1DgIMxzQkI76YdnAarWDj1ereH+5hmKjh2zUj0TYj2RYx3OHs+hbNi5uNLBZ7+Jiu4GheBDhgA+aquDpqWtHPAzEgndlcKaqKhhLhW/YUVniYEMSGwmJ3cDoMvDU13inbhvA0hsMoJPP3r11FC8D5/8nyVV0kIQmMU5yUJ67PWKj6SQry28y3eMLMqAHogyu/RYD8VYzcWKUf1ysf0BT8dZKpX6Lys/VCCWB4y+SSNgWU2rLb/FvX4BrmfjMrSlits1jNDdJ9hSV/156k31sAhFg8yOmd/QAVSpFATbP0cdjtIDCZaB0iX2DAjHOutJDXEdfzH2yLapkepi/s7okPmaPxGb0Caa2jD5JSX0DgOP5ecJpkjfLoH/H7PH9khP89yd/SCUsOkTlxh/h+YRSyEYD+OqpQaxVO3hroYxW18JwPATDdPDWXBm1joEvHstdt0Kq07fQ6JpodE2UWn0EdAVDsSDiYR2psB+qoog0kQXTsvHKxQIK9R5Jj+Og3jVxKBtFu2fif76/hmbfgK6pGE2GYNtA27Dw0FgCRwdiGEvd3jRzCYm9gCQ2EhK7QX2VZCI9taVtv8J0y/CjezvyoJn3GrzFhj0FwzI57VpV2SwukqUK0FinUrJTt9/dYvhRBuzKPNUHxUfVwB3KaYteNYc+t/O5pqaA2EXuRzDBUnB/iOmXnaCqXG+rSAXKsUiUzA7P0R8Fxp/c/fp7de5ZbNC7PtFBoDwr/C0P81z6LaCvct/8ceDyd0gGBx+mWpMYp5KTcNNbDslW/jz9PqqPf4JpkriNj0l6OmWed2yEZe5mn0brwifA5GdoUFYUkrbULAlqeZH7Ghvhnjc3ufb6OoliKEVfTmmGJOnQc4gEfMjFArAdB0e2pHIiAQ1LpTZKLTa/uxqRgIb1Wgd9y8FIPIiuaWO20MaTEykMJ0MoNntQFQfNvoMTQzH0TBuNnoFkRIevCgzGwyg0utiodxDwqfj+xTwiAQ25eBDtvoXjQzGUmn0MJ0IYT0ulRGJ/IYmNxL2Pfotf/P7oPvpaTKZlts4i0vw0ldq3P+DwGmx8TOWk3wLgMLgd+jwJldlhyiQxzt93qlRV+i2mOK6uYLoV+MPA4a+Q2Cy+Ru/HxT/kscMZkSp5iQH3qb91bbooGKdROP8JVa34GI257qiF66G+JvrGiLVrOtWx0gwJx24neqs+XhvL5M9mn8oIwMcHH2J1UnOT76lHAcWhSbqxwT21DZqnu1Xut+YH5l8RPh+FJCw+TBK39AYJjaLx+IqPBKiVJ3mJDNAgPPIkvTPurCh/hD1+Mof5mepUgcETrNgKxoG2SWKUGOP6AzGm/QoX2IU6nEbPtNE3bYSi3mcxqGvomb3rGokt20Ey7Idh2ah0+vBpKg7nokiEdTx3NItSs4eewd44Y6kQXpstQtdU6Jp6pe+MT1NRbRuotPqwHQdjyTDiYR2FZhcLxRZiQX1XRmYJiTsNSWwk7l3YFrD2PpA/R2ITiPPOd+A6KsCdRDhLEtEqUimxbZH2mGIFzF6gWwNW3xH+naMkUrUVGl3jo4AvxD3o56me1FaZ6nAsdijOHv9076+q7PHSqZBEKhqD7OYmMHSaKar1D4CLfww88levbVgXTrOp3S3BwTUlUop68/lYlvDouFVhiXEgfZiqTGmGKlOnwhSPqouy65PC8BwGEsNAs0DDr9kT6aUQj6cKsrJ5nseY+AzTjd0aSVCryHRWvykaBVokYL4gCaE/wnLxkceBY1+9dgCmP0IFKZgEZr4L1NY5X0v18bn9Jvff6PD/QDjGz1qvAYTTiAd1xIM6Ss0+BoUpttTsIxby7Vg+3TUsLJbasB1gPBVCyO9D2K9BAdAzHcQCPgxdZa4djAdxYb2BbCSAbCSA9VoHHcNCMqSj3jFxfDCKrmkhAR2JoB+FRg8BXduVkVlC4k5DEhuJexfFy+ytEkwwrdApswQ5ENvu77gbiGTon1g5y8AJcCzD2JM7T52+HbTLQLfhjXpQFKZrmpsMquE0g/T6e2JatSi9PvF14MRPXDvZ+lbRb7H0ODLAYG/1PJXK6JJA+GMiLbex+9lPAIlIc5MpoEjWa0IYHQL0CH8XyVGlaJdIJjQfSUR5ngQrOkA1RFGB+R9QHXK7DCfH2dcm/wkNuXqIqpGiARf/FHj4p2kUvvTnHFNQF/ubniJh6DW5rrX3RXPADaYeIxkxp8pkmsvo8PpHslSAeg0akq1VdrQOJrmHmh848sKNjdDJceD41+ntMbui/PwUsPou91jze00TXd8P2HDuzHgSb8yXMFtoAmBJ8xPjqW2VSJ2+hZlCE2/OlbBR62Cj1sFmtYPJbBjHh+PIN3o4PhhD2O99blo9Kl6HMhGsDHQwV2gi5FcRDfgQD+kYigcRDeo4PhjDxc0GNhtddA0bjsMU1qj01kjcA5DERuLeRekyy3ndcuPYMKtNast3n9gA9KHER6kGqD4aY/036MNhdIVXRiFZuFkazRfweqW4lVZml8qIz8+qo9oy0yr9Ju/yQylg5IndkRrHYYBWfdfpeaOIP47o9xIUQb8FYF6MFkh55mkXlkGiYxtUttzmfS66NaZ0qstUIEIJYOxp0ZhukGrI6lmanzU/g/vQI1SkZr9HQmv2SbZGHmWfmfw5Ehc9yHMqzdJ3pIdoFvaFSDAaeaD0Pe7jyR8Hjn0dmPser10gzn1beE2MsBgCHvorJDZ6mCbgwiXPEN3c5P5oOs3Bqg9QFVY8BePcl+FHgYHjJInuNXSHr+6E2BD/ZI8A8y9TRbItGpr1ENNi/hi7Mm8hSUcHY0iEdWzW2Ll3IB64ot4AHCPwyqUCPlipYq7QQibqx0gyhJ5p49JmC6YNPD6ZwmPjKSiidPy9pQpWK0zfjaVDeHw8icO5KFo9EyG/hqF4EKoC/Nm5TRSaXRwdiKLQ7KHQ6OGxyRS+fHxg3wdNOsLkDAeIh3xyFtMDCklsJO5dWMb2eUEAA4R9kzTFncRuRzPU1xgwm5v8OTrINM1OVUIuooMcfFm8xODqWEyFjDxO1Wrmuwzk8S2kzp1/dTP1pDxH/063ThVi6OFrZ1H5w1QwVt+lxyN3kgpVp8TfBWL0+eTPAcVZrtG2GJBrq/x3MA6MP820j4vVdznYM3WIKkwzz8nckRzXMniaKaN2mWQqkuN1nn+Zio0pCKLZpRl45AmqZFe6EPtYaVVZZAooEGNPmuqy8Ad1SFIWXqVfqV2k4brfJIk8+lWqPf6I18en36anSPPR46IH+XnsNUm68hdI5voNHiM6cO0oh9oKsLgMdMtAdJjnGc3tfH3choS1NRIvPSB8QAqJW69JcudOLceNy6fPrdaxXusipGsYSgQR8fvQ6Jk4ORRDLhrAYCKIr54ahK6psG0Hb86VMFtoISeMx+fX6ugZFp4/MXjNJPDnjmTx3lIF+UYX2WgATx5K48x4ct9JTaNr4OxiBavVDmzHwXAihCcnU1c6EEs8OJDERuLeRXqaJdZGm3fQnSoDmtuh9V6F2QcWf0jCkZrkY6U54MPfY5VLMEkCcXWaQtXYmC0QYxM4RePE7+FHtqst26Aw4N4I1SVg5nt8fSBGz87MX1D5SE8Dww97hGv0CSojlQUqFdmjQH+IhKNTpyrjOFRSulUSo+oiSYuqixLr16lQRTIkCNUlBn43KMeGSMjc7sVWf1uq5coetoqsdmpskKCE0iR9hfPXmpKNLn02qsp0VGN9y7EjQOYYjb1mFzj2IzRJd+s8bnqKz6mvsfFhv8n0mB4kiamvkaQoGonb5Ge98vpAjPsaHSS5Mruc9RTJch/MHsnSxkdMbR37+vXTU/4Ih3IqCsmhO9ncMrmHV08tvw4My8ZarYNU2A/LdrBZ7yKoa6h1+jBtB5GghkOZMHRBREqtPlarXYwmvcGRfp+K1WoXpVYfudj2KqtcLIAXTg6i0TPhU5U9nc59u7BtB2/NlzGTb2IwFgQUYC7fhGHa+OqpwX0nXRJ3F/v/iZSQuB5yJ4THYpaBTg9RvUge2u+VbYdl0Huhh3mH3y5SlUiMidSSQeWlcIHqgR7iv4+8wFTMVgRiJDfjT4smclsUldQUK5aCSaY5XKPr1ce4GsXLDPDJcaCyxEDdqfA4js2Af/xFBmN/hOtql7zJ3I7FYJ0/R/LQrfNY1QWgU6MSoW0hLYVLPGYkI4ZAqtsnbjuO18E3f55EIpKjB8ZNMao+kovqCoO91eOabFP0yVFJLEJp0WcHTG0FE1R+1tyy+BS7IYcSrFJqbFB9yp3Y3penskCy1m+TgPUaTAslJryuyrbJY1eXSVCaGyRUVo/Ep77G12sBenSMDie2NzZItDbOAcEUcOJFqluNDa49GCcR3ObVUq765w4m6+tAUxQEfCrqHROD8SA2al3k6120exbyjS4OZSKYzkWvPN+0bZi2DZ/mvadPU648vhNUVdnzOU8A0DMtVNvsqJyO+HedSqq0+1itdDCc8AaC+lNhrNc6KDb7GErIzsMPEiSxkbh3oQeBw89T5ei3GLTCmU83E2kv4TgkKGtiEGI4C4w+RnKgKF4wb+V5tx7OsJopmGBQ3vz4+qRkp27Gg6eAdoFmVdtiYB59nMH3RujWGWSX3uB6u3VPHclMi54q816KTVG8lFv2KLDytugknGJw14MkDKrOIL+VtPRbbFrnxmA9yGqllbdIVnx+kiTH5FiFgGhCV1kkaTjxY8IkrfJ8L/4xvUVWlyTCrdaa/BwJQavA5w8+JIzFCvDQXyb52TzH7tDhDA265QWqH5sf81pNPktFzbZZbm32PeO21SdpK10SIx8ygBrwBnbOGCSyoSRJ0vhneI4r7wCw2b/GaNMn1qnw39060Cny2joW/WKOCUChv2fiaRrSo0NUwZITPI/qMhWhyLV9ivqmjUq7D1VRkIn4oaoKVFXB8aE4fnC5wEbPmTAubtQRDel4aDSBJybT2/w4qbAfqbAfm7UehpN8fLPWu/L43cJyuY2zixWUWz3omorxdHjHDsY7wXIclqRvIYeaqsCy+TuJBwv3FbF55ZVX8Ku/+qs4e/Ys1tfX8e1vfxs/9VM/td/LkriTUNXrTD6+B1CeA859mykC22aAL10GzvyvTO1UloDECAN2pwYMnmQgd8cNuK/bbVWVPwIc+Rrv/s0uj+H6UW6EcBo4/99JZlQ/A6u7JkD042le+7p2mQQgPipa/+cZbHMnGNA7FZKWVoHnXl3m+Ws6sPkh3zc2SLJn9UT6p8o190T3XzcFFkyQYFUXvVTNwAlO637//6SBNnmIZMpoMiV29GskWpq+3TythzhKobbK5n8+4Y8Jpzi/SVFZdbT4mhgeqomJ5QnvGJpfmIhDfH04QyJlGsDiq1Slpr7Aa1FdAqa+SNUmlKTJ3XHoiWrnSQgjWSo5tgl89F+5p4OnmWpb+4D+n/w59u4ZOEXiWlsV6cM4U4RXmc/Xax28NV9GqdmDqioYSYTwzHQGiZCOowNRWLaNS5tNaKqCH3loGKdGYhiOh65RQYK6hicn03hjroSFUhsAkAzpeHIyfd0RDXuNetfA67MldPocqGlYNi5sNOD3qfjs4Zt72lJhP7IxP9ZrHYynwoDCMRHpqB+ZiPTYPGi4r4hNq9XCo48+ir/5N/8m/vJf/sv7vRyJBx0r79DzEYiTNBgdeilW3gYOfxlQXqdSY3ZFUD3hkZh+k2rBrZaKa75bK7MGGLC1IIOlY9GIGh2gWtCtk3RsNb5aJvvBFC5w1IAeYv+gyACVDD3E1I1b0lxfA2a+Q6IXG+axVt6hr+ihv0LV5/CXgc4ZUVmVBD7+fUDpbl+nolKVcdFrsntxICaqnyy+duAE12EIFc8ygMoy00CBGNWRD36X61IUEji7D4w95aX24mNcb1P0BAom+fxQUuxBnymg9BSrz6I5mq+Ll1iBlTrEVGD2GPdi9V3+7BK15BiJaLkOaCGv0WEwJjxHg1ybW7IezlDRqohS8RM/Bqy9y8+T2eM08m6dfitVRdew8PpsCdWWgeFkCJbtYL7UgqYqeP7EAFRVwamRBI4NxmDaDgI+9YZpnYlMGKmIjs06q6wG44E7MqDyesjXu6h0+pjORKAoCnRNRTbix1K5jcfGLYT8NyZYuqbiqUMZ/HC2iMVKG3DYkPDpQ3ePnEncO7iviM2LL76IF198cb+XISFBVJcYqN1RBv4wA2VlgarD8RepavTbVA7qayQ/RoeqycDpu7NOPUyvRyAO9Gpcd7dOz0ptmSmf9LT3/NJlll9Hc1TLOhWqNZOfJSFrbHAMQDhNpWTgJElQcoLko3hJGJCXSKRO/BiJ0dZGdckJdlgOpxnQG+tMhwViJASxYSoq+U+4r4rOPcudJBlUNCogRofVS+U5vrdt0svSrZIMNfJcQ79NEnTsRUEmRQm3ovDnoYfFEEx3YnmbpGXgJL03S2+x7Ny2vJL3tffEkEqN7xGI8XUhP9cWzuBK+Xw4yzRWuyCUG5v72mtS1Wpsit47w/ycVBdZeeU4woTd4n7oQWDgBPL1HorNHg6lI1BVBboGDMaCWKt1UO+YSIRJSnyaCp8b182eNyA0MnDNaIxYUL+rZGYrnJ36NCoKYDtwduktGkoE8eJDw8g3unAcmpzvBWOzxN3Hgb7qvV4PvV7vys/1en0fVyNx4BBMMiViGVQCzB4DpWtKVVUGpYi4Uy9cYNBKjDMlcqvKy63AcRh0OxXRXybDoJ87SYVi/QOmQ468QOVoSxkx1j+ip8UX4PmE01QjjDaVl9oaUyfrH7ChnS9IwhQbocKg+oC48EJpAaZa0tPbUz2DpxlkywskIaVZIBRnAJ/9Hvez3waGHyMBccuz8+e5b5OfY5Bfe59eGn8MUEHSVbxIQtZvAZE0j2P1hOfmONWUmhhmGhVpTneEwsIPmBLTQySE4QxLxDfPcT/0kCA+HabeLIP7Gx2kklRbZQqrMs90V3SA5KsyLzoHi/L2QIRKkNUHWmUv9eU4ABTOi+ptGZPhj/C5xYvAwAmozTXk6ueRcHT0w0PohYev2I13JALNPJsaNjZAopUhUXWr9vYZA7EgEiEdG/UuBmNBGJaNYrOHUyPxXXlsXIT8GiYzN+gtJfFA4EATm29961v45je/ud/LkDioGH+K3hN3YCUU3s2PPXXtc0NJdtO9G7BtpkbW3ycZUTRBXFQGWEWjB+XQ573UC0Dz7PIbLFNuFVgVlDlMdcWFZVJpaRfFFG2FwbxdZgDvtxigu1USg+QEg2q3tp3YBOOsLKqtALPf5f4NnyEZtExg7vtUmPQAzeOBODv+2hYN5e5wzfIc031GD4DDwG31SQzCGZF6a/D3oRTVJJ+fKaPJZ7f7VvpNzwOkB7l/3Sq9POPPsBdOZJCkbvVdHtsxOSequUkiaRk8V9smccgeBlbfowpm93mOE0+zdUFpRoytaLHaT9VJ9EbOiKnnFe5dKEWi55Ln/CcYWHsFh9t5dGsWMpEwSqnHMIdpTA9Er61Wsi1e08aGZ0iurwCLr5N4ba0O2yckwjqemc7g7GIZi+U2fJqCw7kIzown93tpEvchDjSx+eVf/mX84i/+4pWf6/U6xsfv4F2yxIOFgVNsqrbyDsu4fUFg6FGmdvYTjTXOnAomWD5t9ZnmGXqEHW5VHxWGq7sV588zvZKapC+o16RSYfaFt2eCwbaxzgDvvj4+ysd9OpUXo0OVJ3eMQVQPej1ZtkIPUilZjlKRUFUSgnaJZf5uIA7G+R4KOIV7UKTwHIeVRWtCfQqnqcCUF0gSWnmSJKPFtJovyLLv8Wd4/IVXqezkTpA8bHzMvQnneI7dKjD7fZaUD55myqtXI/Hxh/macJr7pAU4lVzR+FmwDM6aCsaEQVlUyYWSgnB22R355I8B7SqNw2vv8lzLc1RzCp+Q+EUHqTR1qqLC7Cz8uh+jRx7B5c0GivU81PUPcPjEITw5mb7WS9OpkHjFh72hovExpkyb+U+v2tiWN2PMJyrHru4+vQtMZSMYigdRbvehqwqy0cA1zQElJHaDA01sAoEAAoEdymYlJPYCPmGeHThBVcAdxrg1rbNXaGwyldUu8S47d+L6HZCbeZIZV43R/FQvmhus5NlpYna/wxRQfZX+i+ggu+rWVvnak9/gnf3CD0h+gkkSl9iI8JdE6V9JjAPrH5NIqD6m3oYfEX6THeA4oppsFsipDOjFC1R+VA348P/HDrz+EI8x8VnvtRsfUYHpd4RiUhSdi4URt1Xk2pKTQGYKsGwSitnvc0/8YeFnWeEYhn6TJuvNj71ZTfVVVmUNP8L1VJa8lNKhz5OEKCpL0o02PTntCt+nvgTMNFkNZ7Soas38Ba9BYpwdnd3mg4EYFTBfgE0p9RAw9BjQWGVqrF2iVyku0n2JcWQ0H+KTKTQ6Uei1OYQn/NDCO3hk3L4/23oJ2Vt+9ylgWySIGx97A0GjQ8CR5z3v2S0g5Ncw6t9/BUni/saBJjYSEnccmo8B6U6imQcu/7mYGxTlXXx1mR10d+piq/pwjRPTNhj03UBWW2Ew7tZIZJqbVGcch2kbzcfGdsEUMP0FpqQu/LFovJelubVboQoEhc0Ik+P8kzvBcmg4NA2nprfPv3JhdBjEq8tswpg/z8dCSZp59QCw8Dpfm3mYwb/wCdflDzPAx4a9jsJGh8F16CEgPkEFxDJIuvQQkJ1gpVanzDQRQAJXvCwIXY6maXcgp2WITsLrYuK3IEuJcV6H5TeoUrgKkzuDy6eTiBWLXnrKH2XKqluj30cTqtnmeZKrzBFey8YG16ooJIepcXpwjBZTnD4x3sFoAVoCuqYi7TeAaOwaM/AVhFK8PoWLJH2WyT1ITl47BuJWUVsR/ZiG+P6OTbK3/gFHVUhI7APuK2LTbDYxMzNz5ef5+Xm8//77SKfTmJi4SZMyCYn7FcVLTENkj/Dn6CA9G6W5nYlNYozBrLLI4Nhvc5Dl6JNM91SXWZ7d7zAYrX/I9FXmCFMKoQSfX7jEdFv6MKunmptcQ2KMqYbCDNd2/EfFNG6hFgw9zD/dOtWdT/4HCVXmsPDRaHyfxddJpoYfZjpk7X2m0EYfZ8pp7Sw9Kmafa4tk+X71VSoXXVHGbfa8uWI9obqc+gkgNUavTShJ4zQ0kqTgluosRSFZ6DU4wHL9QzGF3GTQbpdI/KqrQDTDsn3VR7Xq8l9Q5fGFRPpqjWmw+DDJT3WFBCk1RRVv6Q2ufeUdAArPwbEBy/I6NysKz8MxRepKvF+/yXWGkqzWWn1XdFxWuQ9Dj1xfwVMUpt9KsySSZg+IDWwvf79ddCpMH7qkSlGZumts8H12ajQpIXGHcV8Rm3feeQdf/vKXr/zs+md+5md+Br/927+9T6u6i3Acyt2qfmfSHRL3Jtrl7XfjisJg2q3yZ8sQZbwO5f9wmg3jVs+KwZIBEo8B4f3ZPM9USUaUeJtdqiVDUW96eb9FEjRyhgG4ueGNR9BDJCjhLIWhI1+lSrEVtsUqnPKMeJ7NwN4TjQALF0S33zbPZ/hRmmrd99FFd17L4L99rslX4eP+KFWo5gY9TZ0K+9U4NgOr5iOpKC+SQPVbDMChJBUTd2J3v0WiF0rz3Ke/TB9Np8b38kdInro17kcy7s2ichW0oYf4/7JXo3rkjwNakWm6oVP0Ca2+Q7Jk2/TgrH/IY/ojXGdzU3QyFl2XO22eQ69BcjZ42jNfjz9DM3XxMs/Dbep3o0aNrQIAh6TRHyXBy58noUx+iptCXxCAvb3RpNkheVT3p3RcQuK+IjZf+tKX4Dyo7bEbG7xLa+ZFD5STvCu+2gAqcbBgdHnnW7gghi0O8ZobbaYVmgVg/hUGeMehmuOW8cZHWTLsC24nRt2yN8UaYEC1+qzeCSUZ8INJ+krGnmTAdANuv81j2TZTP0MPX0tqAAbq6hLTHe5du+Yn2VJUKj/tMj01nSrVhPgwAFUoHVn+u7lJpckf8UhadNCbcr70BgmDP0alJn0YqC0B5/47112e4Vqzhxlse00qSYXLNCNvngegeIpUcpwG8At/SONvo+UZYttibpnjkFhofio4ZleUe5+iAtWv8+fH/ldel/kf8G89zOO7xmZNBx7/35hOm3uFoxocR4yG0HheTpOkZuIzHnHRdF4bdzjqbkaMlGb4uuQEr1uzSeO1HuEIiuulsW4Es8/Poh6hghjJci+sPsnmrTaflJDYI9xXxOaBRbdOw2O7xLs7s0MTp6Lyy03iYKLf5nUvz9OQWvkLpkVSk0zNpKaA+ZdF9dA4A1x1mZPFT32DAXmnVFV0mP6UsKjWUVQGO2uTwdpskwzEvuYZjRPjbCiYP8ffwRaKxHU+f2bPG3fgwhcQc6oiJFvxEVG5ZNAPkw9QAQqn2Fhv8DSQOQQYfRIKfwQYfYpEAOB7b3ws0jgKX7f+gSAeMabqijPcr9wpkjmjI5oSPsJgH04DY08IFcMkucidEjOjHKokRodEo7pIBSWY5IRx1zDe7/FYRofBPTYM9MqsokpP8ZxbJSDuF6qLJeZbnaYHybbZOqC6RDUsPc0qq+IlXp/Mke1EdCt2OzfNsXgO/RaryNpFKkYrBgnckRe4v7tFbVVMsC/y+8jsMbUZyZDgZY/t/lgSEnsMSWzuB9RWGAAyR4T5M04JunCRX45StTmYKM/yTnjgBANtXVTIJCfZW8Vok9QkRjwCkRynt6aZv34DwMHT9IMUhWpRmmNZ+PBjVHhcv4fR9l6j+Th1PH2ICourYlwv4IYzYqJ2nsZSxxGm3CwAm5/f2DDv7udeohoz9hQwcJzkvTRLE/LIGaodpuhD4041d8dY6CH+PwimaGbuN4HMURK3bo3vVZoBVs4CU58TE9MDVBT6DaoK/qh3jr6g18jQaFItchsJ+vzcK7PDtQeTXGe/KXwmQQb11BT9QZsfcU5WbAjIfwRYGe6z0eF1dcdwLLxKw63Vp/LUqZJ4tEpc1+Z54NBzJEm3i9QUCXKryGMHE/zeGHqY51aavfFNUr9NQtgXCtb6+0zXJcbEXKsVKm7HXgS0Pfg+sgyaqt3r7pbMS0jsApLY3A+w+gDU7aWZWoCyr21JYnNQ4bbZd5uzZY8yZaCHPPVBUUS3WgE3NXGjIBDNAUd/BLj050D+Y5E+sJjecQ3KzbyoMtqS6lA1VoClrntkD8E4icrS6zQhK2A669DnOPKgNOsZY6PDPLeJz4iKLjDo15eB8ScZPM0+01ily1RWAlHhgxHG1fw5Gm5d46oeoFLTb/NcmhveOcWHRYl1nArXVpg9Kj/Zo1RFy/M8//QUEH4SCL3FKiV/hJO6VU2oPQbfu98BWhvCGxRheXh5BoDKrsG9BklROMvruHGO6avkOH1TzU3g/LdJXoce5prqq8DSmyRIviDPr1XgZyI+urueMdljfM3H/7dQmkTaLjbCZn3N/PVf261xoGd9lYpap0yCdPh577MZH+a6erWdVcJbQa9BsuuO5NDD9GCNPiHTWxK7giQ29wMiWd5Nduv8ErMtfrEMPyJNxAcZgSgD+lYYPQZkgME5NkplJzEmugCvMQDuVMZr9kgcjDZJQvETqi7JCc4hWn2XgTOYZNpz6GFhsr1N4jxwkupLY0P0iAmQBEx9nipLQ6w1nKUaoG75OjK3nCdAhWD5Lf5fCIaYcqquMI0EhQpMt0YCs7lBtUcTIxCiWZZHV0STwsnP8v9T7hhTT+V5/r/qVOkxSh8m+QslqRo4NtfZ2ACqC0Bigmmpdpl7Y3d5fv06e+4ANCgHEt55+cNAp08VRg9T9dD8JD2hlNfA0BfgOjLHvBuZ2AjX7naDXjvrDQuNZNlPJ5zmtbveTY7PT0N5r8G0X+4kySPAY23tCn018p8wTZY5wuPXVmg8buaB1B2oRl3/iMTXHXPRqfLzGhu6s2NIJA4MJLG5HxAbYS5+/QPe0bl9Q4Yf3e+VSdxJpKdJAEpzDLK9OvujuPODVJVjAQA2cnMczkGaeHa7t6Vd5mensiBGH3QZcHt1b9jj0CMMHmvvkQxYou9Nv8kKqJulQSyDKZ/qEs2x6UNMf4QzvNPPn/fKkxNjbFIX+ALJWKsIXPxjEoxQksFX8zOQAiQ5xcsM3q4aEEpTCdr8hKmhQEx4isRAybX3SU4S4yQyrTx9JCOPeWbm+Agf2zzHfckdZ5oumuPvI9ntJdSOTQISiAHxZ4H6pndtIjn6TjploCYUDFUjgTIUkjBN5+u7rjenKUq7tzTOUzRc00zPNkmO3PJ5PcLzchxes83z/Ky4/X/cz8fVUFVg/GmhuBSo1HXrJH5bh6BefV1X3iEh03SeZ2SAKbPSZVGybpIAZo+QFH8a2BZJXDjjpURDSa63VZDERmJXkMTmfoCqAmNPU57ulHknmhi9J2a8SNxBRAcYeDc+pi8iOcnAmxj1nuNOEW+XcGW44da7dqNDA/Lae7zzLV4UVTxDDEpwSEjGn2bKU/VT0UkeYkBp5pkW0MOcQr0THAdYeI2+Fp9fTPi+CEw+x7vs5bdJJjJHGCgr81RjDovWDdEccOQrLIFul5iqGTjllSHbJku7tS09UQJxrrd0mWTJF2BqSg8AkSESCn+YKk55jscfFRVelUXv/1FynPu3m5RubBgYeYI9gPIXaCA2OvQ4hbPch06QxOf4jzHYb3xI4uaPUBVyy+gHjvHfuWOs7HKHbvbq3DOXdCggUUtPeSZv9/p3KlSRjBY9WO0yZ2xp/p3HJHQqJF96mOm09gLXnTm6s2JjmezVs/Aay9sDMRK2yc9RqdECrEBTVKYoxz9zbarItsRnE9d+NneEwvX3G1c97mxX9CQkbgD5SblfoKr8UokP7/dKJCyDwd8X+nSpQMdh0OtWGZhjI9eOO0iMinlPJoPCTt4ZVfVUhqtRW6Ui4RppfSEexy03Tk97ATKYEObZGJUfgCmVpTfYS2XyWRKOqwlOMw+ULgHxIc+I28yT6Lh75QZj966/tswg7ZLzxBj9It0aX+emxnLHmNKKj1H1CURFh1+V59IuC0OwzkDba1CBGn6Uht7mBgnioc9x7xZ/yOPbFgBRHn/4+evv31YoCoN7ZYFGZT1M4tEscC3xYTGw0k+/kD8KvPzP+T6RLMlNt0a1w/XMDZzmHhUvsfItlAAe+99IvKpLfO3ASfqVOmWuwVVwXFITGaCC5fNT9SrNXktsWiXg8neo+Pab7ODsC3ONK29TFZt8bjsxqS4AF/8IUBx6cswu01LdJnDiRZJux+bnyRcQ3awv0aOUnOT7LL4mJoqDxHDyOVZOXQ+qSuVs7mVALQoSVvC6J98I/TZvAIwO1xOIf3q/j8R9CUlsJCRuBcUZYP093k37I5T+b9YcbSfYNiX+jQ/5RayqVEmmv7hzpdFO8512A6vHgOg4DH6tPGDrQqHwi5EAZa5h/Bk2kqsuCgNumHfq7RIDy+bHVCGOfX17cOo36f1JbFl3MC5mVvX481YTsi1Kj22TaorZZwDyR4Gz/4lr8AVItMpzIgUxwb8riwym/jDVq4ETfKxfJ6lploBwhSmR+DDQGiSBUHWmxDY/JtHxR65q///C7vZz5s+pfI0+zu7MRpd76DhUjDolkrilNzjXauAksGGSYHV6HB5qGyR2R74iZnql6HkJJkn66svco9QUlRpXuWqXxUyvl5jqa+ZJSBJj2wl2u7i9YR7APkitPInsyttAMM11+CNUUvLnqahtvXEqzZEQ5YS61CyIjsItKsjuc9tlKjv1NZIcxwHSk9ybZp774YDXCQ5w4sdvrNwMnOJnovAJ9zY6QOPwjUhKaZZ7vvkxP7O+ID8fw2e2d8WWeCAgiY2ExG5RW2VaBvC8IPOv8EvUNZcCYm7OTXqC1FdoAg0m+cXfrVFN6FSAw1+ierObChDHIRGprfDfiTHeLbuvtS0GtK4obdajVBz8EbbVD8Spbpz4caak6usMYI7N87Vtri81xfMqXiYZ2Eps/FGmgHpNj5R1a/x3+jBVhMoC1RGrx0A4/DAVBNecq4f5+pU3mSbTQ2IqdYHrGjzFPU8dEnOVssDCKyRtuRNsyNete36Pi3/CGVe2JUYH+Pi+luldG0VlUG+s37z9v2Uw/TT/Kj09/RbJ2+jjTNVUFoFwUjTTe47vt/EeMPI4CVz2KEvOCxdEA7uHWBG1/hFgdXElBWNbJBx6mGSzscb1Ntb5+VAcVgqtvidUjAlel1aJ5KQ8R5Kk/zGbK8aGuP7mJtUmq0ciGowz7dWrUd1pbvCabSU2juP1vwml+Fn1R7hvWxWu9Q+o5GQO8zmOCax9yL9HHvO8Mkkx4qJVvH5aE+DejTwqUncNqnU3en63zr1prPH/ZCgtmhBucs9d75HEAwNJbCQkdovKIoOaa2r1Rxiwl94QJtgSABuAwkCWOkSi4VafAAygjk31wTL5pdutMz1SWxZfzjX2lJnY4lnoNagU6GHeubrqx/oHJFetghi2GOaIg8lnWcq8+i5TDu15EoVQQlRMOXzvsacZAG2L6ZDhh7neVp7vafaAscd513xlrlJt+76408bXPgDaukhPqLzLjg0C01+iStAq8s55/Gkeu7ZCRcJNqyy/weO552d0eNceGSABUVSmZwZO0vA6cBKY+R67CFeXuW5FpOtKlxmYH/tfvKDmC/K83XEKAN8jmLixf8O22Wtm/QOSlFbB85VEB0guwimeV2KMaRuAJDCS4d588j94jqoKRMeBYJSTvjPTNFID9CKV5jjnyh/m+ksz9Ec1Nrj+oQmeT30dMA0gkiaxKl6iUhMdYB+Z0izLpUcf43X2BYH+qjDlBpgebFd4HpZouHhlbIVA7hjXX1ni+VkGCd3YU95nujwPnP8fJJjtEq9L7hQVmXaV/xeuQPX2v11maiuYvLbrca8hhqMKdU6PUHkZfWxnZbS5yc+26ueehdM8P6MDRHXuoSQ2DxQksZGQcNFreP08ooPXpoTM7g4BUCEpSR3in8IFVuSsf0BJPTEOHHmeqsb6+0xlwabU7jbAK8+RtITTDBjhLLDxAQ2a8VGWOc/8OUu53f4wh77ASqjzf8i7bXead2MT6P43TtTe+IjvceobvHMvzZKU5I4xTTLxjCfvV4XnJT7Cu/N2iWve/EQoQCJ15I4P2LYFCiuxIgMkHpru7QdAxSc2REXAF+AefvhfhZl0S98ax2bKqLHOfa2vMt2TTYoZTyaD1OXvcD2ZI1zTD/8Pek18fhHYBVGyDZZCu31eEmP0eZRm+d5ml38Gnr1xaqS5weq0xDgJ49xLDKT9Nvcve4QEJZz2SI1titEUCZJcPSL2ZIL7WlmgYmL1+Ufzk3DY4nPhD2/39Fj97TOd3Ouph9k5OJLl+oIxfgaCXbYBaK4zveVOdq8u8jUrb5HY6ILsJYVqkz7kvUdyEjj5DZLHbpXXavA0zdaazuu58Cq5SyDKc62vAYrobRMbInlNjPM9astcS/48z8nssiR+7AmSVBfrH/I6u8ND22Vg9W16uOIj114fRRWE56p+TlCocEk8cJDERkIC4Bftwmu88wQoZ099fnswiQ7yTrJTZcAJJnj3rmokIK7hMzlBuT86wLvJtfcZ0FfPesG8ucLX6kGvhN8yvIZrrU2SC7MHvPefqeqE0kBlmYbMd/8zg1lpDvD5OCLAvavOf0Ji1C6REGg6icfgKSB/kR14D39le6orGOfz6msMHtFBEfg7VAM2PuRaBk+LQHUVNJ1+l4ETO++vqnkkyjJJYFz/DcDAG04z2BZnGOBbJSpJwRSD/dqHvE6tElMkQw/TjJqaZjM91c81++IM3qoqmlsKBKKsxFr/QKTAxMyn0mWSlNyxnZvd9ZrCjxIGssep4GyeY7AffRI4/ZNUo1beEuTMx2ubGONebnxMpcyxhKqkcKxE1aDq4kJx+LlpbvIYwQR/Tk0JBa3J6wnwcT3E94mLbsaqzuOWZoQ65COJSk4IUjHIz2RlXvQrigtTc5T7ffGPeX1dNUZVqf5ljpJsajrJjpuuagilZPgM97RbAaBxb458hZ+5jQ9ZOQWQVAZiJNzxEa6lVWQaKZSmumeZvMbhjOcbCqdJbpr5nYmN2wupssCfm3le98ggr1XmOuXvEgcWkthISBhdppP6Ta+fR3WZ3V6jgyQllikUhBorgGyLAWH8aVGObPL1js2hkIbKwBJOswkcFH4Bu2W1QxHemWoBGm9hC9IwxmM4Dn+39h59JoOnGNytjteLJpxlasAJMPAE46L/TIi/DyXpkwmlxOgAcWefOrSd1BgdrqWZp3rkjzAYBmLAwEMs3bZM8X5trmnqi7ffBVbzcXTC/KuiuinIAJ07xbt5R5Reh1JAXzS/ywvzazhF/0UoRcIQiFOtUTQSpZ7wFAVT9Op0qgyGbgm6OxHbbQrYrfJ15XkG4GM/cq0/yh8RjQ1FFVfuKAmUogAP/7SYkD3J5xQv8XgDp+i/8QVIqAIxkkTXiN3viuOqVAp7TRJS2+Jn0VXuhh6mQleaJTE2Wvws9Zsc1tkpA22DRKC2TKLcqfOzGoxzPb06yY/VZXrT56ey43qPABqfK0skRFtTp5qPilQgRsLVLl47gyySo0+rtixGeYwx/Zg+xFRjS6ig4Sxw/g/4uXTfw/VtNdZIbBTFayK5FW711U7wR3gToulizMi6aE8wxNRq7vjtfEol7mNIYiMh0S7xT3LC817ER/lF3S4xMNZXeGc/+TkGLkO06o+JRmzlWX75Gh0SkdgIA0tjw1MntvZhUXX6C448z+C1/Ca/7HsNUZEUZJDr1MAeHhrXYrRF2iLIHizlGZKbVoFES/Mx+MdHxPRvQVZ8wtybnt6uuDgOUzur75AIhNN8vtFhAF59h+8ZH2UaJZhgui17bHs/nZ1QXxfVOEUGv8FTvEsHaJ61LP6+3xCm5wmuxx9igPNHqaysvsPzCKe4fnfPbYuEJyDSc9VF0YtHpEIsE5h/iUEeYDrJHwKgAKvf5XOOfk2YZDeo2DmO5wFqbFClSU7yrj9/ngQ2L9acnqZPZuRx+j/Gn2I3cNva7htJTjDVstLiGvPnAahUm0YfF/1llqlaHH6eKZ7aCvdg5AwDfjjtERWA55s7wc/kzPdIbLp1koT6GslhRuyVO0F98jmSBtUHKD6RAhMhwLG86rGrsfERSb7RFtV1Cab4YkN8/tr7JDPZ40y5jZzxUlo+v1embdvYli7yPoRb/l9oVM7mf8DPuR7k/6dwip/B6yExBpz6Sa7L7PFc/GFZ7v2AQhIbCQnV55Ufu54P2+CXrPtzt8Yv5kAEQASAKE/uVnmX7wswhaKLwBkXVVJml36Y4iXe8SYnhNG4wLvm6CArh4Jx+lnaJapCZh+Y/Z5IR/UFqekwBlh9IJ7k+tLToiIKDNShtJj8Pck1BxNAo8PzO/QFBo0rPhCLzfvO/QF/7tRIiA59nlPDjS6DSzhDtSH/CUvCbZOB/0ZobLKRXbfupR9qK/RnRDLCRPwkMPSQGP4YpbIQelf4RhLetXENp5qfhMoyqESV50gYFdAvFIgCvTaVF6PLKp1IjgpTfY1kIJIRaphoAtetMzVTvMTgb9ucb+WPikZ5fZbljz5BYvDJ/+R7Zo8y0KoqRxQkx0jadqqs0kNM/fkCwIW6mGw+xmvuWMDRr3IPXCUkOsDjFy/hStDXdO7V0EPbjx0dZGqosijK2MMkei7xM7r8dyNPYjLzHaa/ggmS9XBWlL0v8DiLb3A/Bk7y/AuXgPd/h0pdagpIjnKfVt7m+fcbVJPy57iW6S/RjL7j/zMVSB8BFl+lyuL2qNEjJNUuBh/ivhcvMjUZydGHczOSouk3rp6SeGAgiY2ERES03i/P8ovRAUlJ7ii/+AFvls9W8mO0mPKI5NisbOwpponKc54cPniKd7KhBDD3Cv0PAAPnxDNbUlMP83kX/5iBO31IECvhTamLctx2lQEklKQC4zhUE+KjJDOxQQaG4iXeSSsKAEV4RELbDdGVBQZ9n58pKrd0XAvwPEYeBVoKUxihNM+psUmSdLNy9tJlEiV3qGYkx3MvzWwvFdeDHtEKJUlcVs6KVIRCsjPyOIPs3PfZNK40x0AeSpLwtUo09Y49zZRSYwU49FmqJ4rCgL/+oWjKBz4WzjClePFPeL00PwmS0QQadZKicJb7WPiEas/wo6JXi4/v2SoA4RyvZbvkqVE7IRDl/uaOe+MpbJOEIn2YhMTses93RHXdTgqKi81zrKTqNcSQ0SQVwKU3xLDMNVH5pDHdOfcyq6gCSX4eVZ2vNTrcm24NWHqVRKM8C4w+Bcz+hTf9vXgRaBeAwYdF1dUiiXruOFWV5ua1VYBXY+ghXtPyrGgKmQQmn/J8O60i99gXIJEMJvl/5Hb7OEk8kJCfFgkJVaWh1udnSgCg32X8ac9Hkhhn6qc0ywBi9gA4/KJ2c/+hJP9kpnnHqfq81ycnWMbr9m2JDm6fQwSQKLVLQGLYayiWmmTgSU/xTrmyCMAmaWisCVL1VeDQcyRSmo9BJn+epbfuIMnGBklMasojErUVqgmxIeFfyTJ9s3mOjweTQm35WFRb1Uhupr+43cTpOFSubIuv0XxMr/i3jPxQFAbb7lWl4ldj/Bm+Z1GUaw+foSG5sUkSufwGU0vDj1F98oU4ebpwkWvSdBKF4Ue90uBgnMdaO8tj62FhQi4D5SUaZ4NxBuVOGbAdkozCeabTwlmmNkqzJDqDD1GRs23hZencmIAA3Nd2efvoApcgW12mleZ/4HmOmgVR6XSdbrutEtOXUPgZMDskWvV1pp8qiyTKlsFUY6eypaFeiT13hh/hZ/yTP6QCEx0Unp86sPoBibPZE/2OokxN1tdEBV2b19o1MydGxbiKBabXrgc9SAP38CNeutMl26VZ7kGvxpsLf4Tru1GnYgmJHSCJjcTBhTvs0WgzwCfGr3/nF0xQdXFTLFdXx7hfyO6k40iOwWjr8EDbohfENhmUVP/2YwQTN56i7Jatbh2A6KZNRh4juek1qar0mgyMqclrCVKvznNPjPH1vSaP26mJahpBbFQN7LlzjAFr6Q2RDkp73o/kJCuuCucZME/+OMmGS+b6LfovKgtUhSI5GlSjwyREWpBkQtV4HW42ukDTSUqGHhF7onDI48IPSA4cV8VwfRkKCafRIRmNjVCd6ZS8a1hbFemYTRKwdpkkMXfcG2mh+sQ6/VRwbMsbcdDvCIVDeD66FSosqo8pmlBy52qdbecljOTl+e3VYVaf7xMfEf1pVkUl1CTTXztVaQEkop0qj9FY96q/rD7w2F/jvtXXeH2sHlNIrieq1+RnIdYlseiUSB5cAqGHSV7Ks8Dw416zxkCM+1xfAQZPbq/oAryKsJtBUa79zJo9pvxsg59HgERt7V3uxY3+30hIXAVJbCQOJrp1elSqQoFRFBKR6S96asjWNv/uc9xAYhlUNNwmYtFBfrlOfIZ/rkanyuBbW2FQDGeZarrZVOytCCZIJDY+BuIqg3F9nYqK20E2EGUAvxH8EaE+rbLctrHBIJQYBnpf94JKcoKVNstvMuD2G0xDjD0pjhESSozJAYcTT3u9aVy4YyHiI14PmpnvMT1TW2MZsD9CUjT25PbSW9umn2PtfVbbxEep2ERz3nUxuhxhofm53m6VqaH5H5C0Og5VoNgwjci2Re/O8tv0PDkWiUn6EN+7XWZgLl4S6k0IMET34XaF19otM+43SHQDMfHeDZ5Xapoqj9Un4Zl49tomczth6GGSq+IMOzU3Nnn89Q+psAXjLB9Pil43N6o6UzSS6E6VhMSX4vHK8yQHx3+Me1q46BE5s89z00MkUO7/Ay3AfXTHMCg+MaDzBPcgd5Jkp74GQGGKaEykqRrrQChDMmb2rj9Z/Gbo1kikY1s6H4ezVHGuVrokJG4CSWwkDibcJmCZw6J8tMuAmJxgYN88RxISiNEomZ72gqnb+bSyyMDoCzD9MPGZnUtOHYdSfnmex1d9DAKLP+R73chzcDXGn+Gdb3WJ750Y5fveyiT3yABJwpu/yZSGP+x1A557mcFDFwZWn0jLmB2+zhegchTJkUwcfp7HDKevNcb2miQm0cHt5buX/lyYXU8zyDbW+drhR7d7fDY/Aj7+NoOv0eIaF14FnvnfPULolkJHB4W6UQZUhSXNtVUqF4kJkiZF43UIpeht6lYYoOGQXEVz/OMPk+y56TFVI6kxOyRxZ/7fTHNd+jM2rRs8xZ4onTr3JZggmejWSUCuZ5Y1ulTA3J4xiTHg+NcZrLs1Ei5/jGRAUfhea++Kz5DKtVeXqSB1azyH9DSVpvgIiYrZEVO/29y/YJJpqkCc1WQl4WWxLZIxX9gbujr6FL1GmWkev7lOUuNOGD/2NZLF+gqJTXyYpObYj3APrc9zvc0NnuP4M57acqvwBUi6zI5HLM0eP0dXd0SWkLgJJLGROJioLm9vla+7nVeXqCI01plCqK/yz+GveEbXzXM0uaanGNx7TXYNjo/srMD06lQPYkNe8E+MChPx5q0Rm0CUKbFOhYEqlLpxV9ydoAqfBhQGI0UVa1BYvdJYF56dsqgo+iwDmDvRu10SDdKEL0QPAnYcwFXExrE9wgTwuesfkrBEBhgMB06wyqpwiQHVhdGhqpL/hKqAqlMxWH6LFTLP/n8Y4PxhMUeqQaLXLgNqwJuBpeokB9VlplSaeXEthnm94qM856JonBhKiXMLkAiF06yC6lR4/eIj/NwMif4ni6+yv0tlnqRo4jNcbzNPQuL2HroahUtUw7o1XovccW92kzvbqb7K93f3LzooBk8WSFTmXqKRurYoOhdPkYR2ytzTwVOsNus1RSfmwwBUksm5l8Rk8yEgXeO4CzUGwCLZPvICMHqG7zv5OZG2XSGxSE2K3z9Oha40R99LdIDEylWnBk7w970GifdOw1t3i2CCitrqu165drtE1Sg6yOteWyaZi2S8btgSEjtAEhuJg4mAqFTZCttkoKmvsSTaDSi1ZQa/zGH+7FbcuMP7AlHe9Tbz10ktCaXHuapHh4Nbn/oN8ZpP23+jW+P6HYtptXaZQwmtPq74UyyDHo3YEMlOvy0ayfVEqiYJGN8FoDCoT31x+5DEQIyqT+ECCUb+Avc2nGGwt3oMVIlx7nFynI3rfAGqEZVFKkpRUTpv26x6Wv9AEI1BqhS5U8Dsd5jaKlwQCtop7ndljqMlAK4tEKUpuN/mNQ4lmd5pFjg4Mj3F8578HA3AG+dIfqa/LCrRdHpLSpMkN0e/TgJliSZ4blC3resH1sYG05IACZbRYsouEPVmFqkar7NlAq7v2Lb5mKKS4NVWeP1S06LEvsY9LFziPo4/xRRQIM5jG22uU1FZoZSa4vuMPMb9bRVYjp05sj2l6HZcrq3yvOLDHlkLp2/8Wdxa1fZpMf40SWzxMs97/BmajBvrXusDReP/26FHRF+e22wSKXGgIYmNxMFE9hgDZ22VwbFTpik2lGI10dYvRD0i2uZbNHn6Ajv0abE9onM1gnGmQ/Ln+HrVR29MJOt5Y+42IjkGPcsEEiMAFDFbKOpVSoUzXGO7RPXBrfpRfNyz+BADoFsGvvwmcPInvICuKFQhzA5JjVsunz5EU64DEpHGBu/oV98lYRl9gr4MReFrLcObKK76qDjYwphqGaJsucrj9Juix8woYLaAfIeqmG0BZpvHjeZEaXzJS6ENnGBpdnKC1ys9RZVAUflzckvTQn+Iil18lORtp2t4I7Wgtkri5vpNfH4x0PMSFYjNcwzelWWWlw89wv1pbFLp0yOiz1GSn2F3nY11cZ4d4YE56TXlaxV4XSeeJDlzHK/ZpKKKcxGNDN1Kpq3Y6uPaL/gC7FczckaY5n0ke2vf5//H7DF+ZvpNYPNjXsPrVY1JPNCQxEbiYCI9TX/I5sfevJ3hR2kGzp8XM4WC/ALtlBkk3Iqp3Amg9l3e9eoRBshgYnvwuxruaIXaEjvqRrJMW9ys38udguYXykiH6Tco3sBGU8xoMloMDv2m52NJjHKvqotMSSgK/8SGGDxds6qLcBo4/qN8DUAS5Y+T5C2+DvTrVAiSoyQvl/+caaPkhCgv7zPga35v6nY4JzxLczRSL/2Qd/LRHGD3qMaUZwA4NDjrBu/wew0Sq8Qk5zZZghyZXZK18aepTmyFL+SRKIDEoXCJ77tylnvjC3O9E0JBuFkKxO1BsxWKyjUuvUGCF4xzr/PnSHRyx0iExp/mXqgaz08PeQZmKCQ0wRhf7/NzlMDgaWFyT/Dz1i4L5SrPlKBje2qjS2rvZWzdX7NDkhzOeOqnP0qS16lKYiOxIySxkTiYUBQGi8wRr6urojDY5U5QSQAYyKIDDFgussf4ms1z9FPEBtkk7uoS1a0Ixtmev1MmwQmlPRPk3UZthT1rVB0IJ9icLTnBu2HXczT/AzbRM3rcm9xxqjOxQS9dZ1uAJu76LbcT8w5BXdNFxc8GSaPqZ/pJf5/7Nvms13QvlPL6pbijFDoVqjuqIrr/GkCzyOqq6iL3Mj5CRQNgkAsmSEp9QQY6qy9mWQkvTjhD4lac4Xu5fpCrkZmmSlUTnqzV9/jHHYfRKdPDk5oANt4HHvmrLPu/HpoF7v3s90jOhs8AqXHuaXqaFV49UW3lVkF1KsDUl5gKdYN35gjTV6E0CV51hRVYisLy+1DKe8+rU0XhNNM4y29SeVIUem3Gnrz/UjeaqOIy2l7Fom0CUG7NUC/xQEESG4n7H2bfG2ioi7trVylRVUDd4gHQdJZ8pw5RidFDwlSa9J6jqiQ6ueNUN/yR3RkVVfXG5OdGcBzemXbK/DKPjzL49ZtiIOIuPTe2xYDoWCQV9RUx5dpkAB17infva++SYISzLAuurVDRCiaoYsRH2BU3lORdc6dKNWGnNAbA4Dn5LPepusgUQu4E93vtA5JEX5DPGzgFRCaAzQskkYEY19DM89+pQwzimg5AoRqh+rimfpPExzJZ5ZMYZSfc2jKJSKtAZe2xv8Yuu0aH55QY88qbtyIx5k387lQEkYoBegywl0gsLINEwuzRTDxyZjuxcNGtcRL7yjsMvm6n5dHHOccoEBcmXh+9Oq55OJj0RiC4quGoqPIqXRYEWWUn7IGTQPLQtde8VRBtBjL0vAyeEipbkceOj9w9ImD2eZ132u9bhaZTkZp/mZ9Rzc/PYmryxrOjJB5oSGIjcX/D7AGzLzEAODYAh2rB4eevH4Q1XVRAHbnxsX2BnWf/3Cosg0pGcYZrzB7xTLQASc3qu7zTNzui822HJE0B02EDJ0Un5JsQrF6dZedwxB2+Qx9GPw8kp5geu/inDLJub5DYMNMv7oRln5/qwtzLQoHR2MVW0UgortfkMBADjnyF72f1aYB989/xZzc9owcZbOOjYtilRrXHNqhwNPNAIMHHFYXHtE2+xh8FoLKz8PTzJDO9BklGMMlzio8CD/1lzwh+PdiiCaKq8rmpQ3yPlXdYAVZbFp2Uo0CnSHIVSrGaqdfcmdgULrIqLDYkys2rQGGGgX7kCVbWORbgqGI0h58VR9EhtgYASDaHH2XabfJZkqjmJlBdBbplKkKhlPf+nQpL5GurQqnKAZOfEam+mxh/9wJGl9VXjkNlq3iRnz9Foeo0/OinNxcPnOL/2fwnJKpjT7GVwF6ZliUOHCSxkbi/UZ5nKiE5wYBsW2Io3ycMDPcClt9kKiYQ5Rf+3Cu865z+En9urLPdvx6hAlFZpDKQO0lfR7dGhSWcudYjcjUKF0lGLHc2VJxEID4CHHqW7+FY11ZrdWskIuUFprA2PqB6lBjjc22DXpdIlkH7RgjEgMXXSNYUlQSrXaJSkZzY3tfGcVhKHUww2Jt9Ki6an8pRv8WxFbYp+g5FgWM/ymvbWGdZszt/Sw8DR58lsS1cEmMdhILnkjijS/9MWbwmI0q29SCJsOoD8h9yHf2m2CtNrEV4ta5X1tzMU0XyR5k66hRJUEszTEF161SCype5DsDrnWOc5LUpfEKCdeJFrrnXBOZf9UZUuHOyjn2Nv196S/RPGufaa6skOqd+8s77u+rrfK+mMG83NgHdT0Lj2CyjN9o3Tt3tBqpK9TR33GsiKCFxA0hiI3F/oy2kdtfPomqidHXlxq8zujTVuuWyyfG9UWeuRqdC4hUb9IKrP0byNfQwiUKrwDvRhDAnu+MA3KAXSpJ4VBdvTGzaZZKaxLhomhaiV6VTJhmIjVw1YVl03i1cZEWT25+lNMMuu9EsSQHgtecvisqeyrzo6uzwOampLf1sSqySighvTHSA+9Au8zmmwz4ksSExEyjK9x5/hiXdlQX2uOmUvGsVHyVBO/Q5+mUAksCTP8GUjm3SKBtMkuwULorxFBZVkCMvkBgu/pCdkl01b/FVqlzTX6L64w+T2Ok+Go5bJdH0rkCyFRHn4o9dq1zFhkiCqsvcf1VngPeHqeSEMrwWmaPcN8sigVQ1np+iUokpXeZnc+hhKiCdiue/cWxen/I8zcD1VSpubhO75DjJT2PDU60swyuT3itYBveyVaDa1amyIWB0kHvjE+b18jwJ7F4pR9c7h16Te6vq/LzJHjcPNG6b2Hz3u9/Fr/3ar+GTTz4BAJw8eRJ//+//fbzwwgt7tjgJiZtCDzOobR2PYHQYxK+HXpPmzsoif1bAIDD95b33IRhdrieyZUaSP8LAY7T5s6ozwF85B5V3wIrmlew6Nn++Edolko/Rx9hUri46K/uC7GXikr+h00yTVOaARo+EyTKAXpuvbxV5rK1ET/VRxbAtpsxW3vL69uTPc7L2+FP82Z0YnZoU3YELJBJWnx1801Gmdpbe5PODCVb3ZA5zLtT7/xfgDwLZp0l6uhWuf+Jp7/o0Nkmy2mW+T/YYCUTxMsmAq+A5NknkxsdMaZQui9JnobroYf5++FEqQJEBmsDLs0wHdSr8fAQTHAZp9TkRfOA017w1gA4+RGPv+/8ne/goKvdw4rPieZanKuoBb6aYHuJ+6GGvj02/w2O2CkAg4n223SGZnTIAt6fSlv5JDryCrHaZ3qHaKt9j4CRJ6a0QnL74TPjD2xWgdplVV/FRnptj8ff9tui2nOW5t0teddqdQuESVdFujWtJTbKB4a00xpQ4ULgtYvPrv/7r+IVf+AX89E//NH7hF34BAPDGG2/gR3/0R/Frv/Zr+Nmf/dk9XaSExHWROsRgWJ7j3W6/yXz8wPHrv6Z4mc9PH+Zdt9UHCpfZi2boob1dXzBORahd4t0sIMrHY1QCACoPkSyViugA1290+BzXVKwo/MK+ETS/KCt2WO2TmvSaFG4dPqmH6EFqP8Kg9e5/YqCK5UhgLJH26Va96qhWkWQhOsjOwoEYFRCAr938iOXKoSTJiB5ksB44xQo0V0Hzh3l3ryjeKIHSLDD/CoNku0TSMfG0V8FV09icziU11WWSB9ezpKokD2f+FxIRwCNxikoFYfl1GphXz/Iap6dIEPSwp5gpqjCrniLJsi1WVhWE4ub2UTHaJHPpqe3XRA8CY88Ac98lSXSvvaKS7CUmBLHwCeInft/Y9Ais2QUndou9jQzyfKOC9No2yXI47bUgyH8iJsn7hCE5x/ee/b74OcNrOft9EhC3SeCN4Djsarz+gSA2EZq0hx8R86RUQWhMAH5vanq77J1LMy96RyVv/n63i3aZaU84ovmiaB/gjwJTX7hz7ytxT+O2iM2v/Mqv4Nd+7dfwcz/3c1ce+/mf/3k899xz+JVf+RVJbCTuHsJp4OgL/BJubFKWHzy9c2mvi7rwaripBM3PoFRf33ti44+wId38K/SwWAaD2ZGveuWrwQRTIavvkEBEcsCJHxW+kmUeY+wZr1fM9RAfoSemPE+iZJsMaGNPX+u3UFWSKID74DieIhTJkHR16zS8miYQjADqNI3NtVUSHDfgBeJMTfUaDGKRLAP42vsMfmafgVwLMsVSX+X0775QrJqbnNXUyFOdqa3yWJkjJBSq5k2vdhxg5i94vaODJDvdGoN27gQDbK9F8hSI8zwLF0iMhs9QRVh9j+sZPiMUkQTX7c50qq1wbxxLVM4FPFLaqYp03awYdyGqtVzS0VojyWqIBo2an88NJsRny+bxY0P0LRkZEo8rw1o1noebAswdZ+rs8p9zPZofGH6MpFxRaCi3DJ5jv83jTn6W+1lfowncVZUaG8DmJ9t7Nm2FbQlionBPF18jWYkNc/+WXyfZzhz2uksXZ0Q3aoXPDZrcn7ZIp449eWdSvC4aG6J5n9sMMchrV1kExjqyJPwBxW0Rm2q1iq9//evXPP61r30N//Af/sNPvSgJiR3RKtFf0Kkw0GQO88vT7ZpqGQw0Nxtj4I8B5pL3s+OwDX8wxS/E+MjelKq6SE0CKxHe6duuZF/fXmGUGOU59BoMBG5jtn6Ld5+7mcOj6Rx7EIh7pbGTn7v5HXr2JFCcZTB2O/+mJni8xLhojjdEP9PF/0kCWZrheWgBkg53DpfZYwDOHOF+vv1bQPETPm71AWOQBEfTSfT8EUHC+gyckUGaZJuiEklRSbByp3h826ZC4Qt6vg09xGC6+RGDcHWJZCA25PljRs6IhoMq/S4bH/G6x4aYtpz5LtUZPQLYdabyNF2Qn6LwOC1R9amLzsJGm2ub/AxTWS7iI4BPB2obgNXl59JVgcJpkR5a4T4c+xoJa32NnqpgkqTG/fyZXe6n6qc6omhMNbmqiD9GVURR+bhlMI0WTABwtqfKfEHh2zKuJTbNAs3h7nDQdoWfBfcGwZfjOZfnxGBZlSMNoPFGwXFIqDJHmIaDwn2401VZisLz3JqKvjLa5CbfA3cSd8LXJLFr3Bax+cY3voFvf/vb+Af/4B9se/wP/uAP8OM//uN7sjAJiW1oFoCZPye50YO8Q63MA0e/6uXSd0tGskf5BV1ZZGDd+JjBC44wQ06y181e5eg3P6ERdvKzJBv9Ft8zMba9LFnVtsv2gditryGUZBVKvy3mReleSud6GH+SHZNbBUEMVSDiMPiNPuE9r7rIAJw7ySDvlt+6RuD3/rPojZMhGVNVkqHMMZppu1WqMrbBv3t1Kgpml4MtE1kADu+42xVeo06Fx6qvknREcqKT8hZfietHqiwyTTP2FEvXy7MMcqlJrhFg6sYfIQkafYxEYuNDUfkUoOJi9sRMKJHeyR4Bzn2b6kSvAUAhEfXpvJZr75OcBOOeMTucA2rrNPIC3Lf6Gl93+Mti0KPmEYzrpWvy53mqR0RlkW2zoqu6SGWyugCsi55EoeNMxW58RCKl6SRePj/fq13i5+3qadmWwdlW9TXRG8YG1j/i7wZObB/NYFve64IJEjM3/RdM3v1AHhsmsautUN0z+/wcjz5588/9nUBjk5+nxiZvRgZPk+zdzsw4idvGbV35U6dO4Z/+03+Kl156Cc8+y5LaN954A6+99hp+6Zd+Cf/6X//rK8/9+Z//+b1ZqcSDjcIFqirul4Rt0whantt+t7wbJEaBI8+TXJRmeec9+jh9KVafakQ4s3fl4tUFBgF31pQ/AsDZXrmyl2iXWbHSWOPPsRGSquvdPScnWF20/gEDYSjBYLHxkacqmX0eL5Til7XiAM110cxPVDc1C3xd5jDXMPM9kpZojkbTfovGbV+Ix+zVqdSkj/A6WD0AKhvQpab5GkUlCWhXmAaJ5PgexYskMnqIqSd/iIQ3PiT62QxxBlN5lgGuVeB1B0QvoePAxLOsoNJ0r9lbc5Pm6JHH2bxw/QN6NyKDIu1RB9KTVLA6VV7HXp0kMhhnuqlVAD76Pa7R5+drl98iCXzmf+d+7DY90y7yvF2oKklKt86fa6tMD7rEyB8lKXNHZMx8l+vT/PQ7DT92bZBtblKt26oU5Y6zXLu+RgLea/IzcLXPay8Gtn4ahJKslFt+m2tVNO5BZUGMBTlExdJN+95JdCrA7Hd58xVO8/M7s8HP8J34fy5xXdwWsfmt3/otpFIpnD9/HufPn7/yeDKZxG/91m9d+VlRFElsJPYGzbzXBwbgF7wvKILLbSB1iHfxy2/x58w0/9b8/FKqzO+uId5uoIcY6LfCcZjGcRxRzdRkWmHrHKbbgW3x7ruyJIZfgp4bxwJO/Pj1z8dtUmf2uK+uP6c8B4RTrNIx+0BmnJ6TUIoBu7lBb5JrUq4uAd2HRLfiMjjfqE3S0W+L8u4QA6RtknS0S0C74HmDhh+lquM4VNcqi0DuiDAzr7LJYLvMf1uismjqC6IcWuF6WgW+l9nh76qLNI0DwuT7NFNsfZF+Akhwi5fFYMmLgNVhOqW2QnIx+AhJkx7in06VRDgY97wcepCfJT1Ewpae9LrlludI0LcauW+GyCBVm3BWEHqT19IlMjtVyjk2z8UUnZnVCcDo8/FulaRv2/OvSuUAVOBcQlOc4XmNPMobi3sN6Slep06Vs7c2PhYdx3U2fWyXgOMv7m16eSdUheqZEaZ4pPnZzX8iic1dxq6JTb1eRzxO1js/P3/HFiQhsSMiWd6Rba0OcQf/3QjNApueNTZJWAZO8ksQ4HF26l5qGQx6e5Wjzx5jYG1s8G6yUyZJiw+zwVnhIu/m/WHeVX8aQtUqcJ+29uVJjnvB/kYTnFVNpGBAT8f0l4HwR1x7JMu0Q31NlNX66K2wejS7OjbvVNtFdixWVOFD6QCbjlexpdpUXGKDVBRW3mYViy1SM8088NF/I6GJjbD8urok5kKFvKGImu6lGzoVoFPjdV15i++riEoqVSeBdPvdODbfNzbM84xkPXNvs8gGhbYpJsLX+SeUAMY/w+MG4iRzrTyPZRsM9uEthNQy+Ltw2lPpNF14V0q3dj0HT3HdpRkSTqPD6elXUmtjTKs1N0k2XWUl5Oc+jTzG61WaJUFql4FH/ypL0900WCTHPamtkMw44Gd14jPAyJNsCwDwelzxr9xj8AWE8XtVkO4sHw+KLtL11RsXFOwFjK7XMduFHhLzyxyZjrqL2DWxSaVSWF9fx8DAAJ5//nn8/u//PpLJ5B1cmoTEFuROMMCVZnnH32vySzg9ff3XtMvAzHf4BR+MA/lNfskd+7oX4ONjvPutLPIL3mhTWRh/eu/8AunDwKGuN1QzkmPA6dXpz4gN8s66W2O33kjWq/K4VTj2tV+iiuI11+tUee67KcENxoFDzwH2Z7yU0MrbDLK2JboFi5Jo2CRGvbZoapfwJkk31/kFH4hyXxPjTB9V5tm0Lj1FNSN3QnSwXSexuFKplCC56rXE1OoSVaTwALB+lqRt+U2OjFBV0RwuSKITGaQnJXvYSwdGB739GT4jTOmXgdI8zb6RQRIqs8OOz3qIx44OMoA6luhCfIhm7YGT2/c7LCqdaisMsgq475qfJd+3gtgQ1YbSLJWkmDDNuwQ0MQ6MPwssv8HPcDBOEma0SRJ7DXYnNkQK0GhxACpAQ7XR5TrDKZKu8gL3MDbMMRD5c3xv2ExNpqboEXLfH6Bqpmr7H7jNHv9s/Wy7U+PN/p1//3AGgMMbLl+QN1/dqpj7JUnN3cSuiU00GkWpVMLAwABeeuklGMYdbrokIbEVsUESkuJlKh5DQzR13ih3XprbLg1HBxmUCxc9YhPJiFLrsyRCvgD9KLmTe7d2VWWeP3ucX3ruUM2Lf8L3cw3CwYQYxLh8+8Tmyt33KpUagFVArZLnzwglWdGyW3ncVY/0IJvSDT9CVcJVO/xRNqxrrHFul6aLjskJYOiUmLDtIxmorTDlpGrggMs+0Nrk9Q0lRQByeOxAgqZro8PXmH2mcWyLv18/SxIUEJ6l2jL/ffInGHgDCaoSK2epAsFhN+HEGP0kruqSPQqoJ5nGcpv61Za41n5LkBGTn6XJzwInvyH6toR2DlixIXY6/uj3SAZUjc+d+qKYUbYFtk1SV5oR1WiHqPBt9eBEsty/0qzoAN0kmQqleM7lGT7W2AA6Uaat/GHuzcrbJIXBFNcx+Vmm1fIXuA/zr/CzojhUauKjLNGODZPsFS9SHfIFPP9ZYoTEvFkQbRbWSTgHTm+fUH63YJnewNHKAlDziUnmGgmlL3Rne+m4SE3ye6NwUcxGs3njdLMRJBJ7jl0TmxdeeAFf/vKXcfIkv/D/0l/6S/D7/Ts+93vf+97erE7iwYNl8otxp1RMNHdr/oRezZso7UIPe1UcLtxJwf2GaNp2h3pf+Pxe4ziAJMOxtz/HcbwqlNuBpjN4LbzKO3jLoPE2MUpiBTA4Lr91+xOf3fTf0CMM9v4I/5hdb/ZS8SKJyNoHVA6SEwAUPj86xGqr2BANqvkL9KWYEdHIcEj0/3mMpKlZACY/z7RLMCEax33E9wtEeA62wddV5qh8pUXPn+oSzzcyQL+LWwFkm6JBoCqGVJ6hEjH7PZLD4iWOlYgNA2NP8PNRWyZJGDnD11yvG7SisKouIdJERpfpqoGT15btb3zIMmvTZFpv/QP6f4684CmGnSpw6c9IUDtlkq3kJAlW/iOgvsE97ggfl22IsvaPqJb12zzvYNJLzbnvVV3m3rvEs7nB8/L5Od7CF/RIlubndamtUimd+S6vZzjFVK9bKn63/SSr75DAaeImIf8JlZL0tJeyjNzC98btQtN53TPTvGZ6iJ/7Oz2zS+Ia7JrY/Jf/8l/wH//jf8Ts7CxefvllnD59GuFw+OYv3GP823/7b/Grv/qr2NjYwKOPPop/82/+DZ5++um7vg6JPUZPlKmW57xp0oOntxOBW0UkRyOha1J1bL7P4A5N+DTfzhOb7yTSU7wrbhUZsLvV3XUYvhniw8Cpb9B30dwEFl9nCsEleLEhmlg3zzO4327FSPYYA+TmeZKA9BSVl5V3qCIYHZISgMFR1SnXB+MM8KEkS7NbRQZI2yI5Cad4l+02qYvmGMhdsjv8CPetsQ72MLFYXh1ICCNyiQHbsUlqggkgI4gOhFm7XWEgjGaBQJL7cfgF7n11mSkbVWEKyx3P4QuKtgPfZfrLFyBZGTh5LRFXFKozWxUax6HyVJ4TYz+GSD66DW8cBmzgwh+RHGQOk5Bc/g5w7r9zTeEs96hwEaj9uuj8qwKNVe5RICJ62czR75Q9zn8rGk3SrSL3JXeMRCSc9sqi/VHAXqdymZ5iQL56HILZ4+PVJZIgtxtzOCNaAJy/u8SmU+Xnz01ZJsa4lsYaiXfmsJjDdZdUJE2/cXpc4q5g18QmFArh7/ydvwMAeOedd/DP//k/v+sem9/93d/FL/7iL+I3f/M38cwzz+Bf/st/iR/5kR/BxYsXMTAwcFfXIrGHsC1g4RWaSMMZwDT4s9EBDn329o+bOUwfR2mWd5u2QZUid3zv1v5pkD5Mf0T+Y5ob/VGWIF/P5Gh0mA7wx27u//EFxLykEMuXrT7Jm23yzn/tPZI+f4QKwdTnRfomvt0/cSOoKiuYcidEii0qBmBe5Pu2Sjy+HqbnQ4+ICd49MTpA4MhXGLCriyQ/oQTLrROjPIYW4LlfUTsU0U05TgNzbIxl4/lzDHCJcX6OAlHuZeGC5ztqFpmugMo1lWZ5l2/2uS49xPMfeoT7nD3mzXdq5vmcfovpoX6D5eKOxT2or3GfQ2n+fmswtW1g7vvskAwI0v0RyYDq43u4TSYLF0gO09P0Ds1+T/QY0pia0wNAJEVSFErwfFUf12elgYAp9jvMY/gjPOfmmhiNcIr7u/ADT+UBRHWU7VUPpaeA4gUqf6Gk6IkToPpUX7/WV6OLMvO7OYG7vso0surjesIZknWzw///bjpW4oHCbZV7nzlzBv/kn/yTax5XFAXBYBBHjhzBT/7kTyKd3tv+Bv/iX/wL/O2//bfxN/7G3wAA/OZv/ib+6I/+CP/+3/97/KN/9I+ueX6v10Ov17vyc71e39P1SOwRmptAeZF3y27zMC3AdMDQQ7evKPgjlPRX3+Vdqx6iN+Bu5Nt3A1UFxh7n3XNfGGN3kq3NPolI8RLJWWRA+CBuUOHkIpxhX5j8eTa+q64wTaWoDK79NvDB/wXMv8RgHskx9TJwCx4jX8BLV9gWFaPAF4GF12iQ7jVJLNOHAKPHVFG3zoDpWEDuNA22eoR7MnCahAKgopA5zLSJq6h1KkwHDT/KtW+eB6w2z3XwlAjOPnqnzC5JQXWJaaX6KkvXM1NUghyH6TKzI0iAIGeKj+9RW2YzQTgi5WULH4nKVGdjA7jwxySJnQqPp4doSh57wqvgW/gB8MHvAmabhMnqi149Z3nskcd4bo4wZbdLJA/5CyTj5Tk+rihUjWzTm29lL4rZYgmmnqJnACg02Zs9nreiUIk68gLHdfgjrMCb/S6VL1fNCWc9MhAf5kyx9Q9Ft+8cPyPJcR4XimeUdWwqPaOP3T1SY5kkh70GyaQe4vXt1eh1uRu9ayTuSdwWsXn//ffx7rvvwrIsHD/Ou99Lly5B0zScOHECv/7rv45f+qVfwquvvopTp/bGONXv93H27Fn88i//8pXHVFXFCy+8gNdff33H13zrW9/CN7/5zT15f4k7CLPLL2pti2FSDzIomr3rv+5GcEtuaytMW/QalK27LzGo7GTos0wSh6t9OS5sYSqtrzGgxEcpfd9M5r7ZHWzgJiMT1j9k1Us4y6BYWSBZOPnj219ndOh/sPokBNFB0fr+s9zPygL3w00LtUV5dk34MHInef4LrzFIumXxtwJXoek3qbhoh0nI3JEKepBTwGPDYg7RCP049TWu2eqxc687jFJRqGL5Y0xvAZzFZLSoJmSO8hzUDM256WkANklTbYUkZOoL9BQ11vkZyB1nEGxs8nidEkmia3wNxPiZGX6E5KlbpQLVrdMPo6g0ppdnGUTra6ykOvY1fnYKF4H3/hPVpIln+Tlce49kK3qI+9/M0zQdzpDA1De88QDxYSpnZofKS/aYSD0tM4B3/v/t/XeQZOd53g1f53TOYaZ7ct7d2QAswgKLSBIgQBAUxSC94md/siVIovVZKtIlirZKpF0SLbtUlGzKVBVLr8wyXaD8lmiKryUGJZIQAwACBLDAYrE5TM6xcw7nfH9cz9nTE3dmdmZ6Zvb5VW3tbk/3Oc8J0/d17hgTZdcqRXp6lq+lJs1r7o3Sa1QpcI3FNMXw8Q+Z4rnxCH/vZi9zP+EeirnakGyom8nT1SJ/P437ONRFL9X8VZEnpvN+WS3Mu1Nk50wxtShyq7Qqr8ehZ27dCkJyYNmSsDG8Mc8///zN3jbJZBL/6l/9Kzz++OP49V//dfziL/4ifvu3fxvf+973tmWhCwsLqFaraGpqWvJ6U1MTrl69uupnPvvZz+LTn/70zf+nUil0dEjX5J7DFaKBzi2a/SeyoovtZr+cKkW66Beu8Us9PsqcBMMDkJml6zrYaYoCTaNHY/YyjYk3yifo5R6RqXPAxOuirbwOWN6haFhrFlNsSOSfJM0v/dWSn9frcVEp8lhcYbPDq91tVshExHHlYmKa8xQrXKxOoPleigiHl8a97QFTnN3sRTPDUuCsxkTW3veYAmkrwsbppyAZXuB5Ki5y7VYH1937JHD0Azzm1CRFz8J1oPkewCLyVFJTDCtF+kVFkZNjH1rv5WfmrwDDr9DoRvt5rxSSZo6SIvKpjHBXqItCKh8HGi9SKDoDzMNIzdAjplhEWKuNXpPMAsNBrffR02T0UbI6eG5igxRfFrsIDSoUQ9UqhVYxRTFVSJqhRVdIzKNy8jzlFngf+ltEKM9PUaWVmZtj/F7oVXpORn9Cr4tq5X5dYeHBa6QQyscotlvvp+BZHOA6Sjmey2MfWiqEVZUe0Ug/RafVtboAV1VAXZZkbiTKhntM4Rfs2L4xJBtBq/I6h/t4rjLzZmPHphO7tw7JnmNLwua//tf/ihdeeOGmqAGAQCCA//gf/yOeeeYZ/NZv/RZ+//d/H88888y2LXQrOBwOOBwbbF0uqR+uEA3IxBnRHVan4Wk/tfnk4YkzLO91h1iNsnANgMKhjqqFoRZjBpHxJb9wDRh+kU/xVhdFQz4OHP2gKazyCWDmHRoQQ2Bk5ih2jDyGWhZusMS4kDSHUqZngf5nzVBYfMSs4PC3MQE2O0dD7YkwHGT3iKGFNfexUTVVyohZSj56BFKT5jTnfILVInoZgEpjGuyiwSzluE3DG2Zzi1CSxtJsX9PtNWJrO8Xz5mvhebDaAH8HhV3LSR7v4I+YfJqcpNBy+MQAxTK9C9l5dk/2t5qCJTbMvjIJ4YWr5AHlOEVCMSU6ARfphaiWKPbiI/QKWe08LquDryfHGXrJzHIflSKnfkdyTCxevMH3jr5CIdX3Xh5P80ng+nd5rt0NZm8crcr1qhaW+CoKBU0xTTGiWJgLM39ViMks39P2AK/Z5FsUJhY7ED5BT5HNxbDc5Ju8h6N38xo6g8I7UQHGXuO1VSyAu5ceIkXheiP95vyvQMfaXa0ttq115bXYliYKV8v0nCxcY0K0t4kVQhvxaq6GrvP+1ir8jli+Rk/EFJyBDpGnNcb9Gg9IkjuSLQmbZDKJubm5FWGm+fn5m3kswWAQpdL2NUVqbGyExWLB7OzsktdnZ2fR3LyBXAPJ3qblHn4hZWbNMM9mxwsUUjSk3qjZ3M0T5ZN5Ps4vu3Je5ISIXB5NE1UVDrMbrTNAw5YYB5qFsCmmaKRqW8q7wjSQhdRSYaNVOTRx5qJIukyKieJFoOmYaAg4Atz4JwoMm5t5L6lpuv29jfx3Yhw48n6ei7mrFGJGkmh2nkZt8ixFQWqKhtuoznH4GDZJjIlcixK30/kovTyzl7gNRQGFj4fN8rJzFG7+lo2f9/SsmOxdoJcr1E2jGunn+S2JHBubU+S0vM3clHAvz3V2wZzYnRhniMnqABaGmHsTbKewm7tEr0a1wHOZXaBIbTwswkyLbLJnDDSdOkvvTLCdYSpXkH+OPENvSnKCk7k9UXo3EqPMhTHya5pP0lsRG6I3y98KdDwkEqBL9Lb4ohQqE2eYJ2V4Yhx+Ch+jeWGok83vQj1iirpK8dH3JEVXsIP3qNUhmvop5riIgPhZQy+rnOwe4PJ3eK1CnawGK8QpHj0NFHUAPVW3W2G3USolPhwM/JCz0TSNxxE9xmNsObm57ZVyvL/jwxRM7gY2d6w9HptTtDZ4RVR+KbyWXY/u/PgEyZ5my6GoX/u1X8Of/Mmf4MEHHwQAnDlzBv/u3/07fPSjHwUAvPHGGzhy5Mi2LdRut+PUqVP4wQ9+cHMfmqbhBz/4AT75yU9u234ku4ymMQRgNMdr6Nu6O7taElUpQf7f7uXT4uSbFEy6JsIR/RQ7oyJfIj6y9AnPMPbVGmFuc5uzhQxPTynDL9flvWCMEIu7gYZP17n/cobdcwEacqMhG0DPhdHaP9jOL+jYIP+0napJttUolKpliiWHm8JicYBf5kZ+RHaO4sgT4To1jcdZyQPtD/HYVJuZyKqVxTRwO1vpqzaKrXxcPBlHKHicwaVP37FhVgYVMzTW0+8wDNDzHhHCUJcmcZbzIielkT9zNTCcNPEWO+IayahQgcQw7wtD7M5d5jZUB8NtNje354kCNh/HQMRFI7/2+yk8qhX2tnEEgL4n+HlngKIq1GOWYzv9ovz6PJvZtZwU+SklConsggjXODgwNT3DdVUrpserlKXAazwsvG1uHmvTcea3uC9SPAXa+XMj1AaI+6hGTFYrFFmzlxmKAuhNdPh4X7Xcy8TfYpb3hCfCsFA+wX1ZtvTVvnXiwxTZ5SzPu80tGgbGeE809G2un8vUOVNMWuzc1vDL/N2uDU8HO4HjjeIeURh2Xm1MiuSOYkt3/5e//GX89m//Nv75P//nqFQq3JDViueeew5f/OIXAQBHjx7FV77yle1bKYBPf/rTeO655/DAAw/g9OnT+NM//VNks9mbVVKSfYamsUHbzHmR7KvTuPS9d3ON+AycAX7pZ+b4lKsoNKDRE8KVbWe7+fwiO+Q6PDTmE2/SsHc+wi9KBaJ0tKaqz91Ab83MO0DRy7WW8zQiy6usbnpoCqKJmwpY3Qy92MVnCwkxjwosaZ55hyJi/ioNZOMhMWgxznUc/SDFWKXIvjTQ6dkBaNASoxRHDh+/2BduCKFXFp4cK5C1cQpypB8oZES/lzFuv/kkPV0dp3mcN75Ho5SZ57YUCwVI9ARzZBw+eqamz3FNhkAo5ehdajxMA74cIy/FEI2qCjQeZeiimGFX3OwCz62RPL5wnYKsUgXsTsDpYWVTOc9rnRgDZi+Ke6jCEKTDTQ+cxcYQxfwVEe4TuUrOgDnI0hXkmix2kVBbpfBMz3CdlQI9iqrwAtg9zC+ZfIvvyS1yH6EeCtH0LO9po+y86QT3Vzue4lahmeQ4hZy/mfeJrlH4zlygB6RdNDgMtNFbYXFSwIa7mTcD8D5Lz/C+u+kF3aEQTWaOniytyntcUSjsjNDicq/mepQLPI+eiPmQE+ykeE9Nr8y7s7vNhowSCbYobLxeL/7H//gf+OIXv4ihoSEAQG9vL7xeMzHt3nvv3ZYF1vLP/tk/w/z8PH7/938fMzMzuPfee/Hd7353RUKxZJ+QmuQTsqdRJElq/JKePsey1M3G5S02Co3hl/klCNAo3PXzZjJhZo7bD7bTaM1fB6DQqI6+yifkpuPmTCMDRaGL29NgTom2uriNsTdEgmqT+bqvmaIkPQ1A5Rd7qJsN3xSFRmbqHMNZsQGKPIuDhspqN0NqbafEcTjpZdA0fk5b1jjN18JQHnSKi1APQx9Ov9mATQdFVz4pGuSFaKzLeYqmtvvZU2bkFeEtGqZIKeUBVEWPmqu8bg//JteQj5sDIEsZiqu5yzRiR55ZmYBtsbGaZuQn4lw5GRKLHqcoSU4B+hyFXz7F4ZhaVfTwqfA9NrdIEraZYcNiksefT9JrMHWOFVPBLl7T5BiNvLeZhr/jIf49eZbHZZRpH3ovh3iOvETDqis0zoUUBYKRUO2NcsRHPgFc+3vmdPlbGeaLDzPfpqGPQrpWpG90uGlyggLPFRJVeqqooBLiNjlBL1dygveEL8zjab3PLL2fOc+QWznHa+/0M4l8JxroWV28JhY7haBN/G4YIcjNdLjWNf5Ra8zTze+C28j9ktwx3Ja/0uv14uTJTcZOb5NPfvKTMvS03VQr/DJOTtKFHezaesLfZsjHaByN0I6i8sk3PS2apW3BpRzqprFLTYlOtk2m4AD4JW9M746PCO9IH5ALsboiM0PD2/XYygoRq50VUOE+4J2vAxMv8MvXFQZCHfQ0hUWyZKSfJbrOAA2+twk48VHzqTV6QvQpuSTmLbkptkp5fqmnZ+k5qc3pAbimUDcbtxmJq/kEjVn349xPtSSSbQdp+BSV57la5PsLCSA5Clg99IQUCzTck2+x5HvuqhiFMMufa2J71SK9G1NnaTRb72NuTinNfUydo4enUuD9dP27wOH3r8zXab6bQmLhKgVLQx8FXGaO92BBJEWXc7yGikJvADR+3qh28jUDUChMfM08H3YPz3d2ngIsM8fcD3eEQqGQYnjL3cAmf94m0WzOyhlI/jZ6RRpFHx+bi4KlmFpZKaYo/FMpMkRnvD963PT+bMXzOHOBwm/2EvN1vM0U2+U8vU0zF9n9eP4K922xcX1G11tPhMc9eVY0LBSes+Qkc4EC7UtnUW0H4W5uNzPP3z0A0HSGGiPHNtc7yu6mh2b6PM+nxcZ70eET4l0iWZ9dDsRK9hy6znDQ9Ds0TrrOJ+7udwPRozu7b6PSxwjXADSkdt/tJf+5QmuPR3D4+WVZTJmdVMs5/qwQp5Gcfoc5Fqt1LdWqTNy88X0aGUUxu7dOnWPyr83JcIEnSgFh81As1Q629DSwQmr+muiq66dhyMfodbD72WButSZjzXfROCdGuB6bm9U1/jZzujUAnPh54Pw3zOZtjiDzT/Jx5qMoCvM3HD7xdCwSbpOTNKjuMD9rhI60Ct9vddAb1HGaImX4RSB2juux++gpabmb4ujC/8v3BbtMgWOxMgem+S7uJz1LMeUK8ZgLSWD+Mtdjc1KIKhazUsviEL1TVBrUao6N/xzgfeMMAjmR4Bu/zjW1nqS3JDsPpEVVVdNxhjDcDRQLwy/z2LIL3G6tiCmlV871Anju7V6KRaNjcznPBOStzAhKzwBjr3NN4T7ejwvXxTDOdgqXmQuibNxFUVjO00uXmgJGXuX5XbjOsGbHQzX3XIQPDYUkPU6bRdd5bnILvCf8bebDh6cR6HuK99nsZf5+BbsotiNb+B5pOyVylsbNpoUdp5eGhyWSNZDC5qBRyvFLxebaWA+YzByf/LxRM56dnhZlzD3b/2RXS7BDTBEe5Bd5tUiPRcdDG3fZbxZPI5+op9/muUpOUFToVSCvirBHhk/E/R9Y6u0BeG7mr/BcGYYvn+A5zyxQJFn8IqfiUUB/ZHXPVz4JDLwgKoRmAXWaBtgZoCGPHjV77yzH4WOYx/BsOYMrW/gDnMNkcXBkQ6VI4RDuYcWWYaSMnIhyjuLB8PY4fDSYRlWTIkrIjRCLcW9Fj/Eeufg3gM3Lcxtoo3CIDwEpOwCFxq73PUvDIMUUMPQSG9WpNnqVwn3A4/+W6738Lb6uqKbo1qv0Qji8PD/HPiw8UBO8lxWV6227nyHId75OgWMIZXcDsDDIkFdinOJj5GWG3dxhIJ+luEhP87waeU6qdfVKMaud+TfDL4qp5Vaet6YTZpXdZsjMUrQ0HuE5NsJalQLPn7uRDyJG2Kdc5L2UmeZ7MrNiDISL65g8yzW5G3iOKiKkt1l0neXwU2fFg4DC+7/3CbN6MdDG1w6/n2u7nQ7ETj9//zKzouFk4/pNLCWSGqSwOSjoOhMeJ88yWc/m5JNS+4PrV0gU0zQitZVIzhCQm2feyU4KG7uHno3pd/i0afdR1ESO7dw+FQXofIiCZe4KhUVs2PRIBDpEI7gp5vssFzYlIQAsDhoIi1W0cp9igzmrc+X+llPOA2f/F3NZ7E5RGSaMcsdD9IK03rt+Dx+LzRwSCdD7lBjl+lxBhqusDqDtXoqkalF4FpKsrpq9IEKBVQoWFbze81dpGCPHRP5GldvWRZl8pcR9GE/8xjTn/g8AA//EUEF8FJi5BEBhSK7xELc19Taf4o37ce4yq7caDpvlzbEh5gf5WilqjARsvUrhEehis75CGjjyPibRpqe47+w854w1nQAe/g16OLxRVt0VkmJcQpzGMjlK4VQt0/vV8ZC5Lk3nuczM8No4PAxbBVbx4AEMF5bSFCBWB8Vjw6EtivOa+8Xpp2jyRHiPRY6KIZReQFnkdUnPiF4vVSaheyIUGxabqEg6T0GCigildbKaqvPhpR7EW5GZA6beoocq0Mb9xYYodHqfFIJMeAZXE9m3YrUmlapla00iJXc8UtgcFFKTohW9nV88pSyrfZz+9btw2j0igTRnVukUU6zi2egwxK2iidJliP4ToW5+2e70rBnVYk5P7n4MePOrorldD/MZ7G6KilJ25Wedfn5xV4v8Mre7xKBGkX+TmeHxeKNri8LFYXrE/M1mlYrTT6PV+cjmQ4C5GD1MiTGRdJvksdz180xqtjnNkIE7zFEMriBFyMQZCrrIUQ5UNHrONIk8kUqeibF2F/ukBDrYcG95A79wD0Xd1b+jUErPiO7OQjC7QrzWpYyZb2FUuBgGzWKld2H+KvNvgp18f6VEI13K8d6Yv8bt6eBnW+41c5ncDexi7IvS+DbfRfFezgOZUU7BtruAQDcrsBIjzLVqOm6GL+1uCglPE98TPW6GJYtpiiFnkGvJxejxSU3znHijXIPVIQZnbtLj4G9laXpykvk55QL32XwP71u7m2HS3KLpqbJ7RJKxm8nWmVmeu6bjQDFHQaKVeL1tDt4nWpUiaKO5L9l5nkMjX8dodhkfBq7luV69Qk9R0wmGjTYi7BLj9OblY1xf04mVDxMSySaRwuagkJykYTSeKl1BMU/nxvrCxtvEp8u5S+b0ZWhMnt1MJcNWmDzLEQUQSZgx0QK+48Gd3W8tDj8FSSlNL4HNSUNULqw+ZNITpbE0PAm5RRqVjkfo+Rl/AzeFTc+7Vt9GIS6mdNfkYNi9wmgWN38Mk2fp/ahWWMoOheGKSgG49/+7clp4630UAhNRGpRKkfdKwQo0n6Co6zjNBGdVBRr6aZQLcXqlFJX/rsWoYmk4TANoc1NApKfZibeYFr2Aau4pd9isMAOEdyhBQZmZo7cpnxCVXBF6ZjyNIhk1wP5EsxfEEEbd9FT5hDdJtQDd7wKgA4MvAdW8OT5h8gzPuVHFkxDVRdk55rhY7fx5CvSMKBYmYy8O8nfEG6U3dPJNemqCor1AcpK5On1PcjuJMRp8Z1B4I2/R28vTyPtm4ow5wqHtFHOWDJpPUjBmF5i47o3yj64zqTwbE20LrACqPBZ/r2hQKc6tMa18o8LGCOXV5sNpZYZfC2nm/ticPFfTb/O+v1UJdnKS4dhygcczd4nHfPRnZC6N5LaQwuagoGtY4sYG+P/VEh5rUVVhgJv45KraKHTCvTu0UEEhyd4jzqD5JZaL8bXGw7szgTsXY8v82DDzXOLjNIyuABA5vHpZrKqye6+vRYSf7Pz3xBk+1RqdUeNjDDUd//DKRGhvlE/e+bhp6HMxsw/PZpi7Clz5W66lkKS3LtRN45OLMxQR6FzqBVNV0SfHye7EpaxZrhsfFS3po0BLC9d1/utAKUmPQHqGBjHUzdLw7CIN0tQ5ttJve9AMRcxeBpKvsFIm0E5PkeHFKqRogIdfYiJ2oJPhJl0TJeBzwIIQWkbn5XKW+3SF+L65KzzmYx+mtyc9w2613iYz6dpoKmgX4aShH1HMFb30iOSTFDSLA+Y1LGXMyqZQJ8dMXPkOBZC3CbD4KFgyc+yCHGgzjyvQwdLygR9S1IW6zKqe0Vd5bm5ltBv6RCJ5QnQiDi79uaLw97PvSZ53Y9irrtGblF9kHhF0ihqHyPmy2vknPc17T1FX7nst/G28b2PD/LtS5P1lsdGjZ3gEnX6RoD1za2GzcJ1eOOP3zN3A3KzFISlsJLeFFDYHBX8r+7PkYuawvVLW7IOyHlYHvRZrDXNcj9S0mHKc4RoaDm0shFXM0ICEar78XEF+cdaGK3YKTePE7NiwmcQ8d5lf/H3v5XGsleNisVJ8GTkKqSkaYm8LAJXCIdguXl9YmXQa6ma1yLXv0rgrOoVF//vpNdoo6RmWBVts9E6oKitWrG4AGpM68zEaZCPcU+sxKRfofVBtpqCKDdM7U86z+mviTRpqrQp61lTeL+Ov0xOYnBBdnas8ltFXxATyQa5FsYiqJpUGFuC2r/wt82K0MhPGJ8/wc+2nOd9KtQvDlwfcAebJ2D1mCKyUoxfI4eNxKyq9BItDNKyGsJm9xMTmckHk4BRYcVZMc9tGeAcKt22xmdPJ5y6b86VmLwFdj5j3ZaiH1Ul6Zek1U0Cjb4y4MASPMTcrM7u60dZ1nifVKirbHLcOyTQeAa7+PT0fxvgGo2jA6aM3xxXiegoJ0QnaAuQSFEareRPXwuFlLs3kWwy3qnZ6dZPjvM7Lj0XdgGnJJ5Z+VygKc9dK6Y2vSyJZBSlsDgqBDhqFmXfoLrc5KVSiO5iIGx9lImIpyy/i+auMmR9++tZJx3YP/xSTZm5DIcUvuq2UyW6WQoKVMf42egisoAiMj3L/mxm+mY/zCXlxkOG8UAf7dxjVPCv2naRHpPGIKXwOPQ203bfx/KJcjOGmxCi9HfFh4QFyU2hGjlJAlAtiLtI4PxfqZsWQ3cOwV6CLf+fjDGVZ7QzL/ORPaYStTuZS5BYZxokeo+HMxYEbLzBc03RMTA2fpgdIFeEq1c7uyF2PModr+jzXl5pmwrjFzvwYRWGy8eINik2bk/uo5OhFLAREDomLjfM6HhJVPzmGXG42INREbxmV9+HEGa4xOWGWrueTzG0qZsU0+QgFQG6O3plyEUiOUGQkxijAyzmeh+UN42xO3uepSV4DReG+vE08p7Xe0mKWzSDnrzPPpfEoG/yFOsT5OE9x7PBxWGhD360TcC029uexOkVFWTeQnmMOktXJe7xS4r99bpHjlOO1P/z05quMfE1cc+3sL4eX3wHZBd4L+UX+Dq/WdXo5/haKZk8T7/tqhSJsK6XoEkkNUtgcFFSVFSINvRQINvfWqhM2iq7zibVSNJvIVcuslEiMmy3218IVpLt/4k2uF+BTf9uptXvQbCe3M726lmIGmL5AcVctAo4SMDFLg9nx0MoW9oUUE30zs2wMGGgV04uDG+/dM3OJ85niQwyTKBZ6ChQLPQWqlUmjNgcN+uxldmRWLXziLucpNhJjFDzeKAVeZpbitJAElAEaQG8Tn/AVK+BwAul5fsYZ5N/hXgoJi8pjtTmBcgmwWymarDa+zwhNGXPBkhNL709VpXepWmYeSqXErr+lFD04lYJINAZHSrTcAzTdzc8VUjy29Ay9ENUyp4cvDlCA5WI8Vl8T79f4KNB6ikKyIsrb8wtmh9y8n4Zar4jPtQAtEYYrbS6e58wsz0H3u1hOn5oSycNNPLexQd7bFhsABbj2D7xuqgWAxjDl+OvAA7/CnkCFBK9Vdo5CQVVvHQ6Oj3KeltUpGjXGgWLCbGTnClMsOvxinpUQZ633co0ABWkxxdc3InSWz/5qPCzGaFxiJaUjQOG8kSGqkaP0NsXEPaxrFHS1XlyJZAtIYXPQWK853XZSFe30a3vlGIZ5o67k9ge41vgIAJ1faDvR7n01XCGGzhYHReKnhQbY07i57qbJCRqjQ0/waTwfp8jRdVY4La8MSY7Tld9wyPTmJCcY9mg8vFKIVsui30yFBnroRxRGqk0MuMyKEQrd3N/wS/RE+F2AJyx6uyisbgp20rjFBviezCwNnpGrYsy/srspJLKL5nykcp7vsToZZrM6uA1n0Gydf3OoZQuf6oMdDPmkpplsbJRxlzIMQ0DnMZRz9PZUyoDTyn3qBVFuXjQr99IzNH4tdzO/xN/OcuP4MA10qJticvJNrt/fynvL4WOYxjiP1RKrhFQLxaW/jZ6D3CL35Q7yWG2iorD9FD1xQz9m7pSuMdTT8RA/H+pimMs4HotNeJxKZkfv5DSFpreZ5ePZOH926VsUTtFjvE6uEAXL/LX1hU0hyaaCWlWUSluB+RsUSL4mhqVtHsDp5Tnve1JcWy/vb1WlUJs4w/tAtfCebHtgcx2/VQubLUaPijCfd+PeTleQ0+sTo2JOWIDXUA6xlNwmUthItoYxSTo5YQqpqphfZPet/blaVAufzm9VKbITqCp7eWhl8bStMTzU9ejmvlgrBQAKDXz7A/yCLiQoAFbrGmy8vzZEZXNRoGjVpT2H0rPMocnM0TuTnuXTtZFonI/TWFkdFFeKSmMWcPKc2t2iTDcHpET5tdUuusfGzPEQ6WnmvKgWs5QZFRpxrQJAZQ5HKUPh6Wvi+9wNDAnFRvjZQoJP/ZF+CoX568LzodEr1Hw39x85CiwM8d4Zf4NrKaZEyXuJHr9Cmv8GeIxQeM+lZxiyaDjE4+57Eiic4jqdQa5rcZDn0uGj6MsumD2Z7B7A0UwvxpFnGcKtFunBmbvMz1tcFE9HnuX2DY79LM9VtUIBbOTbWFZp3md387P5ezl4dPo8vU02N9ekiWaUifGVnlWbk+tdj9QUxVrnI2JwaoqJzNlZkeBs589jg0BvkOdGqwDQeT1KBc7Eys6J61mhhwkqG0tuFvsW20M4vOtXbUo2j5EPt9NtM/YwUthItoaisOw5O0dDYnXQODccWn0UwW6gaSJJ0rq6qFiOOwwc/Vkaf11jr5HN5NYY27BYeex2D7+os3N82l4tz8gVoggo5ylodM0UGbWiplKiqEnPsOpkvixyJLI0hFYxasDoExPqpJEuZ/g+i5Wiw+Gn50XXxLTnWb6uWmj8ADHb6ii9SQ6d3gy7h0a4UqBgCh3j2n0tgKrwb4ef2+14kEIEVZZVj71Gr1QhxQozqwhxVPIAgrw+zcdZTj5/WSS6NtKLU87QY6FXuR/Fyn415RxQtdA427z04FTLwjsirnV2gR6rhQExsLKN688JcWVz8Zp4owBU8Xkrj6/9Aa6rlBFl630s565F1yjaHd6NNa5UFN4fDX1muXxugeelmOYxFtPM+6kURK5Mlf9v7F9/21pVXLs2itxCnOfEyFPTKhTtVgfzbi79DberWulxC3TQUxPuNQ2grtGb13rv7fWwysXoBUxO8NpEjsrp27tBOU8v3uKAaJx5mN/RO9lkdY8ihY1k64S6+VS7OMgvaH8rwyn1+EVKzzJnITNHox3uZS+WW/XiUS2rV4dUSnSR52JiKF/X6mLJ38Zkz5kL4okYfGJuuXf1/QU6mVs0d5lCDBqrqZZXpGXnaZyNcI5eZZVTMW02D9QrDG/kYsxtsHmEN0B0obU6eHxWO19bvCH6qZxmWb1hTBWF79F1ih3j8w4fQyvhbuDYh/hE74mI6dpgPlXkqDnUcuAHIjH2kPA4KHy/r4VftjOXKYaMnKquh9h52agSmn6HYZvEGF8rieO2+5hIrOv8t80OvPUX9FKE++i1cIVYTp2aZI7H7AVg9opIqBbJ4ME2oFSkSGrsp9DKzFGIpWe5D0eQVXGhGnGuaaKD7xmu3dPIcxg5urEctmAn0PMedpteHBBiykqB1XiY4iwxzvMFnde86fj62/RGKT6z86Ygt97gvdV4WPRXCjIMlRijR6mhV3i0hnjPQF/6VG+x8vwY9/FWKGaAwR/yOjiDQDxGwXzo6Z1vIXEno+vM25q9KDzoOhtHljIcxXGHIYWN5Pbwt9a/7Xk5zyf1zCyNqFZm+35F9OjZLJUSk08XrovJ0lVu99BT5lwcA9XC8FWwk8mvxjTl2hEVBtUKQxlWJ3NRoHO7bfev72GyufjFZXS91TVWk5WyNGqHnqKhXhzkl1pugWXbsWF6ch74OMWHqopqmZSYIXWV70/P0NvhaWSlWCnDyqGAKIPvfTfFm/FEaIw48DYziReggIiPUADmYgBEhVJsmMauUmIp+MQZGtDocSbeGp4+TyM9Ba4wK2vCfewzM30eqGRpbB0B3msjP+H50hVg4i2KxLv+P6aXxuYCbA8CUNi8MNzHY7I6GWZy+ukFszoZjklOiFlfM1x7bJBJvYYhnr8GnP8aPR6KAixep+g99asb805a7WyUCB14+38Dqs6wZ9v9Ij9nAWh/iB4qm5vn/VYeE1eI53D2Eq+7qgINR+itC3VTGGkaq9QsNp43RTE9VvkYRWxmlmvRq/TsNB5a/d7dKIkxitOGQ6Zoio9ynaGenStmuNPJzjNcXXvv2Fy8N5rvvuP6AklhI9n/pKZolEI9ZrKurtNAtd63+bLW+AhFjZGTomv8gpi7BPS8e+X7VQsNlNGcbzVKWYqvybPctlamp6bxMEMJbfctfb8nQuEQH6WHIR/nv4sZ/tvh49O4v4VN8Toe4j78bQwlpWZYpRI9Dtz9C2Li8w0a8mJShDJ0M9en4RDfW8qxBb8rTK9EqEs0/FPYeyckhIvVwS9RReH5LwnxoYok7NjQ0qGVqUkm7badorDIzALn/wroex/Pa7VkThg/8jPMF7E5KQbjo2K0Q4PIM8qa1VjxYeYHlfJ8v0t8gTt8PLeJMQqI3DzPWz5B8WB4mWYvmg3lAu30qKXGgSt/JwY8RoCRF5kT5A4BFifXOH+D4tnfKvJ+iqJvTHD1629zMlG2UhD9bURDxFyM64kc2dh9asyEMyZ8W+1iPMghitzx14U3UFxfT3Rlzpuu0XPWdILCcXGA59LfyvDb7YiPcp6fr/UEObxi3pjGJH3J9lMpslWBvyY/0Oqm57WyhW7m+xwpbCT7k5v5NJaaypCaL1NjyrJe3fy2czEzPANwu66gmIejb+2Lf/YKy52LaQoZu5degnKBLehDXUufqqx2CokLf80Qjd3NPJDEJI1o9Dg9HDYnRw3EhkSIRTQNDHby/0ZirsUhGgLO0xPii1DElLIiD6Kfx+n00gtTSq/0JKkWipxQN8/D9DkaRqOvSU54beIjNODlAl8vZvhvq4MeDleIyauJQUZf+p6kV0Qrsatz9JiYffYqBzhqZTNBXSsD0FhppZXpCdKqojKqAsycp/cq0Mrji/RT1LkbACgUY4ffB7TezyGYs5dFSTnoufE1AVVNhLWmKGwGf0gDkZvnPi0uHt/lb1EY6QqNt8PHc9Z89+r3iK+ZYb3562b35GKGOUobFd+xIU4StzooWAqiuipylCMset7FfJZ8XHgGg+YcMV8zBWR2nvdS9Dh/T/IxiujtqEgyZn9VSmZ4Mx8X+5KiZsdwBZnPll0w+wDl5vnabnRx32NIYSPZf2QXRF7EjCgxFv1TMjP8gtaroqS6z+x2uxnsbrO9vyGWSqIZ3FafZuPDYjp2gbkHVrsYAKrTA5GPr3QX+5oYUigkKHy0KqC8YfYc8Ua4xswst6NazNJrwBQWFju9RWOvUajkFmj0GvtNcQhw+4lRepTKBZZTdz2yevuAxCi3Z/cy/FRMA5Vx5oqUiwAUeiWsVnpbVCv3k5kXDRHtnKJdKTDBsemE6FgrzrfzKIXK3GV+ObsbmJcy8iqPMTPLbTiDFFRalUJOtXD98SF2xr3r50Xp+gKvZcMhhhMzc7x/PFHm1hhz0uZv8NxqVa41t0hPV7XERnIWC3vHVCv8bPEdXqfAAxRp428wx2q1rsGqhbk2rjBDdKqVQihak09TytHTaEy7b+hdmgO2cIPn1ieqsBxeJksnRum9W8172PMuzq1Kz4hhrSfp7bvytzwP0AHPDLe1kcZ66xHs5H01f43XUqtQHG6lq7lk4zh89E6Pvc77XxevtT2w8zP/9iBS2Ej2F5UiwynpKZFPU6URc4ZoWBYHRXv9VnZi3ooQCXVRIBk5K6UsDcbtdHE2evyoVhpJwxuk60srlJZjc/ILyh3msds9S9vyZ+Zo3BuP8PXYMPNVtApFS/tp7m/xhphY3Sh60MQ42ynQRSGXGBON1q5yWGSgi5+pFDmUcHlCeHJCTIgWDQhdQYZqcn56jZJjZuVXPsHtaGV6vYxOvnaPWS2jKCuvVTEterEEaRwVFWjoodjJx/l5rUKxpqjMJ7L5KJQSIxQEwQ6KrXyMIiU1KYys2F/HKZ6n1KTIZaryehudhVWraHiYYbJ2uSQ+awVQ5fYrBX6+9V4alczs2uMQ7B62GWgXOUC1IZtKkbldsQGupVzkNTr0FAUDQJG4vJGjalk/3BDs5O9KPs5jsXsparLzPGdQGD4c/Slnm91O8r/VzmTVULfoRuwS89dWEceS7aXpLoYjMzO4KX7v0EnpUthI9hfpGZFP0222uFdAY9T3tJi3Y+Ev9Va/oJ0BGpOZi0z2DXZS1NxOyWqkn2LA7qERzM4Lg5RjfoXxBL6cYCfXkZrkk767gWuqlGhE7V6GFdwh5oQYDd4sDqDrcRrx1CSf4ELdolrFb06i7nwU6HyICbnjb9LQRo6z4ZpqoycgNbmyokXXsWLoqsXJUuxiiucqu8iwmWoF7BYKqGqJ3YctLuDUL7Mkdb3r4BRzqzLzYqyCk9u2uujxCnZSXOViFALBHh6fr5V5HakZhpJKYo7S/FWKt+7HeXzOAHDsg+zInBgXs4oyFEX+FpaxW12AXYhRTWNOjGrhPuev8f+6zrXNXOB27R6RB7SGsF4tLJMYY6gp1GOKl9gwr7+RzxTqFjlHYj3lHL12a90/N6+NzQxRpGfYksDfZv4OBdq5/+z87XttrI769ae6k1EU3rMb6fp8wJHCRrK/0Ks0LsvzaTSNRn67sv89jUDfE9zudjS6ajwi8mnOU2TkY8L138GqnbUmLftb+QQ8+TY9Dr5WJuC6w/yMt9l8KnP6GXboeEiMORC/3jYXjaC3l0/Q6VmuJXyIoRBfC/NOMrMM3fmaTYOsa2ajvFoC7cwvycXorSlm6D3pegy49ne8FqqFT+0APWqt93L/1TK9Ny33UpxVSzzfvtal5zrULc5bHkhn6UFzeID7fpnnYPQVrjkv+sM0HGZfF4CiJ9JPT0QhyXMzd0UkX8coXlrvo9i0eXgNPBGek5GXKIoqRZ4nmw2o2BlisrmAuesAdHPAZG6RjfGy8+ZrAy9waGTkFv1oaimKjt21HhlngNuvlnkNG/spbBeHRa8fG8N4mxHdxgyz2llWmgZAlcm9kgOBFDaS/YUnQkOanqZB1nUmkgY7RcfcdahWGMIq52kwvE23DlVtV/dO1cLKp+gxGtvxNxhGKiTZqj8fEyMYVtlf42HmsZQyopT5FjHz5U0GPVHmG81eotfH5mEOh8PHRFS7l3keoR56ZwxyMZ6rxJgYmNlhCsdglxi6eoFeBpuHx9f+IA3x4g16l1QbwymVEsNI/jYKmbmrDH3oZQBChLXcS1FmnAO7G+gTYZjUNI1xoIMiyO5mtVdiDMgsUGgVUxRSqSkKjKa7RL6BTs9KpUjRZrXx2HQN6H43PUiqjfk34V4KzjNfoRdL0wBd5b2zOCTKzDU2FfQ28bppVc5oauxnTpK3iedx9pIoe96gWDDKrKsVng9d4/HUenDsbuDQ+4DoFL01RnXcZu5TdyPzp2JD/H0qpvj7FDlGj9X4GdFcL0Cvy+16cCSSXUYKG8n+wuFj35jRV2loFIWGpNYgrkYpSyMeE3OFrHYavs6Hb69ao1oWk6w3uA2bk6GEXIxGQ1HFIM3zNODeKD0LsSF6ohoP02thtQPWLXqjVJWhF2eI+Ui6znCBzUVDWUzRS9FyDzv/Lt6gUU1N8wl+/iowf4WiqO9JGjpj6GrjIdHt1kOBVCmI3kEaz43NKeZcLdLQp8VcorJoDtjQyxyczCww8E88/tp5YQ4vPSst99JDNPU2K7ZsLiB6F8VU42Gg7V6es/Qs75FwDwVQMUXxmI9RVOkaQ1aNh+jp8beuLLW3e0RH4IR5jW2iCgk6RUbDIXpjbG5uf/x13k/GnDGbh0LUCI1uhEAHq6YWBynCYsPM67E6mDRszBKz2JYmB+s672+Lfe1BquWCmPXl4INB96O870Ze5usOL6/vhb/ivp1+irPECMXleq0MJJI9hhQ2u4Gm0VOQq2ngdjsty+90GkTYIDsvEoVbbl2mOnuFZbahbn65F9MsV/Y1b23wZiFJMZIY49N+tJ8jAiy3+JWqFPl07Gkww0+KQs/Cuf9Nb0YpSwOnqGJAYJo9ZW4HmwvoeIBiZOKMGH/RR9Ghg16OfIIjJpKTvF8rJXoLnD4az/gI+/DYvRQiWtWcDD53idOrKzn+vPGIyKcRSd5G2Xdmge/3RvhnXjS70yr0Tlz5W+D+X6ZnqFqmcS1leQ4m32Yoy9/KbY2/RoMcPcrjazqxcu5QqIcCcv4qoE+J/KsmhvAqBTPHpJjhdZgfAF7/7xRr7gYKIkVh7lCwjcc19TZDX55G3j+xYTGCQtyDus7f9Ybejed5aRoTgzse5rFc+TuKGouD7QDiI8B9v8iKplpS01xPZo7fLU3HeQ5qxdTCDTYyLMS5nsYjrJZxeJj8HHiUYnD6HEXV0Q+a5eexYV5bKWwk+wgpbHYaTQPGfsr+GtUyAIVfzH1P3nHdILcVp39j86AM4sM0EtUShYjDJ0p+ZzcvbColho9iI7yG5Sww9BKnU3c8sMr7y8DEG2yEZnVSQNhdouX8ML1PCzdobKFTLHjCFEr5OD040eObbzS4GooizoFKIbFwnQmyZdH4z0jKtnnEGn3m5zyNPIbMPI8ZEGXnzXyy18Ftxkd5nHf/HA1iIUnPWLVEARMfEwJvhgbb6ee10XV6dqbPM6F56EUaWr0qwmElduiNjzJEVs6Lc3N07eO12oHjH+ExxgcBXxvDVPlFoPEoBcDAD9nPJjnG0FpmjveHN8JrVS0DNpHbpVrolSmmGd4yRkd0PkKviDGA0x2mB2wjVXmpaYrN5BQFU3rKFCo2NxOtYyOcBN5wxBRQ+QSnvefivDYV0YFbtZgCLzNPr4yu8XunnGeidLXC89/QR1EGiCnoeXrEjHvN4TPL6WUfGsk+QQqbnSY1QVHjbhT9MTT2qZh+Z+nkYMnOUc7T4CxcF4IowKdWXVvbdb8e6SnmIIRrch/UBYZrmk8szYGplIAz/5P5GpUCjYPNbVbyzFxizo2vjV6c2CBgbaenI9BJ70d6WuRTeGmo4qM08r4m5rrcyku0HG+TOCcDNFg2L0NU8zfYEyV6TIw6SLPKyFLj1UhNASERilEUM4Tkb6OXIzNNo56ZAc7/Nbfj9NP74Q4DcIhmdl6KunyC3st8nL8jRp7P3BV6WW562DIUh8U0jbKiUlzpGtD/gfU9djYXcPf/xXBRapqNAKMn6L0aeYXl4+kpIDXL86uJku/sInvo5GPcv9PPnkMARYLRe6daoufD4QWgci1B0XBR1xkiWxzgNQx2M4RleGyLGTFle4FiKzbC+6GY5H3q8FLoVkWpfHKCYTSA/84umNcCfq597grzZVSVx1VM834HWKauTbGsXIGYvyWEjU2sqSqSinXdTMKWokayj5DCZqcxKhqMJyBV5Zd8ctKcTizZWSbfopFWFBrC9AwNcMt9vBaFJKuBNtrzplJaKYpsovy4UlwqbKbOstxYq3D75Tz7ptg9FALVIhsMNh7i9pLjfEJ2N/Bn5RwNqsNPQTP0I37OCGM13cUxD5tJHg11M6F44k16L1LXRfWSTuOamaFoKqYZhvC3io61Ma7b08T7GmBeRiHFc5IcpTeslOO5KCRpaK125ro0nWCiaznHOVGeCD0TmkYhEO4RQz6d/P2we8xQjr+Fs5qSk/x3tcJznZphKOtW1UfuMAe2FhI8dw4/74PkGEVGpcjBl0a/G4tD5K3YRF6Lnd6UxJgZ/hx7jccQ6qQgtHuAI88snZ02f5W5XTq4rfgo771D7+P/U1PsEOsOAZNvignoGj1Mrgbu0xXi+XcGxc8FVVGtVnvfWh08Fr0KwKh8qvl5bJDl4wAF2OIg89MCbbxuDX28VnFxft1h3mMSyT5CCpudxmIHoC/tYmt0n93PpZXFDJ9C09N8smy5j6GLvUYpJ6ZQH6NXITEGQOUTcblA1z00GtyO0xsLD7pC7G2STzARU9eZ7+NrWTlAcP4af+YMiMnUOo1Zaop9Z5wB/hw6BZE7TO+FxU6j7Q4BrQ/z/1Nvc83G2IRSjk/njYc2VrliJJkqKhNmEyNmkqszJBrSWRiKKmUpfkK9YsK2l/kdwy8D4z+lkFEUcw7R4g2+5m+mMIiP0uC7QoAzTOM9foZrD/eKpOhDFDnpaYqCtGgs1vmImL9UNtfubhSCsmL2jHEFOCAzvgFhA3C9tY3itLKYZC1+D+1ewCsSjh1uhhCdPqDlg0D7I8DwD3nOW07yPE28xevtagB8djFP7IopbKplYFr0tTFeq5SYt5KapMDUxPHERynQnEFeE0Whd6kS4jn2twLuyNLKP08jxVExzXUYSdqt95mi29vM+yo7T7G2cJ3fRW330SM4+hN6rFQr87pOfJSesJtJ2L0rB79KJHscKWx2mkAHn3Bjw3wKr+RpnDqPbV8p8W6TiwHnv8GS5XIWgMo8h9P/v73XHErXRLjFQY+AUW48/JIQI82iDf8NelOO/eytvWieRlbpTL3Fbegar23bqZUue63K0IfVYYZ0VCtf80bZKE1vZMgyNsz3R44CzfcAvqiojhmiFyc9LWYeCexuGudC8tbCJh+nhyY5aXoNvU1mpYxNeCiC7RRruZgYhPkgvSlGbs617zIXJCgaxsWGKDI8zfRE5GL0jlUKNI6KKsrN+/mz1vsoII38qEg/DevMRW6n9R4acbuHHXhTk8K7Mgu4/ICjVYTfbGwIOHvRFECaJjxpq3ytpWcpOjKzvH7R4xRLLhE2Uy28l20ebl+rAsEgK7yOvF+IwgR/l+0urtkdpqgopgCrCDXnYuY+KwXmLtWO9bDaRXfjHP/vjYrGfhc5tFC18ufNd5kNA41k65Z7l3qD/O28T2YvmKIw0LF0fIGvmR6ZqbPA/GWur+kuHqPVwb5D8VHg0HuXlqYvT8KWSPYRUtjsNE4/c2mmzvEL1OZlr4/IOgmPe53Jt5ivYPcwObRaYvLl1b8DHvj43hJsdg+N/twVPrlabDSWlTwbxhkD4qxOGhKj0/B6KArzM/wt3G52TnTpHTPHFhjDMqPHaNhyMRq6SolhlMZ+ei2sDpZBV4v0GLQ9wGZ5qhUYEh1zrU56fgyhcLPfiSg1t7m4v3JeGPwaYZYYZy7LyCsU1NGjYlr5AL001iKNrK6JDsE+iqBimkbS12JeTyOptuM0BYKu0QCnZymIqr3MGSokzZEJ0RP0ypTz9HR0PGiKGiMBN9BBwaMLb9bEm+z83PME89OKKZ7T9gd4rst57jsXMz0YZ/8XRZvDx6TdlpP0hgHMlbnxAquCHKJRX3KCoanOh5lcm5wSSc8Oiq1AB9D9GHNTjERrY/o4wGtlhJIVVeSjpJd2aLa5ub7sghmKLueY52JcQ08jhcj4GxQ9+Ri9gc4AEARDdh0P8X3BrqXCWVW5/nC3OfTS37Y030hReC5CXTzX1h9RwBghvnKeAs3ftlKUG+fZyMGRSPYJUtjsBr4mxt4rBRrAzSZ77iV0nc3VdJ1P4qoKqOKLODbML9i95LpWFHpSihkaeV1UtgQ7l4YlVAsATYQmNrjdshhYOHeVxkurMPwSOSYqWhxMhu15Eph6k14Al5uGpO9Jnj9/K41nMb20c/K1f6QQaRCJolURZkhNAxC9TApJ5kRYnEzgTU0xZNXYT2O2OMD+NOlZehicQSDlp9hSrfRQnPgovTezl2n4U5M8F12P8p5dbiStdhr9xkO8B3QNDLXqQNPdrOCBKHd2+HlOdY3bPfw+U2wAXJdRFm2EaX3NInk2zTLtcC9FqM1N4z/wT0IcFgFHgKJu+EWGcSwOri81TYFw5AP8/+IA/x/qpTfJFaKnbeE6PTLuBooHQ7y4QhTDtVVorjCPe/4aBa3dC6gKxU0+YU5Vrh1oqVoonod+zBwcYxJ9811LPS8dp9mTKTYgQnuiB5CisAlh7XuXo6r8+XrvAXje2x7gWucuU9BrwnPUcXrpsZbzLK2PiYq0QCeFfO21k0j2MPvYwu4zFOVgTFlVFH4JVku4+fSq6/wCvJ3heTuJO8wQU3qaBsMVpjFMTZlhlvSMOWxxI1RK7OmSmeO5CHUA1SpDI/PXKAzcYe6j9V72QElNAqqdoqr7cVPgusNLc3uqZeGNqDEkFitDR8FOIUryDCmEumk40zN8qq+WOGqgWqKnRrXSSKdnmC+SHKcRtDqAYoWhl0NPMUk1H6dRD7YDh542B1waeEX/l8Q4EGjldU9OAE0nGRZbuCGStFXmybjDFGOVEo1558Obv3YWK2AR3g3Dq7N4Q4QXXdx/Lsbr6PTzGLQyRw6kJhl+LCQprqbOcj26xu24QhQ2rqDpuVsLVeU1VS08h7oOHH5WVCyVKOLCPStztMK9FA9jr9PzFOmn52mJ58UC9L4LqBZEDphOgdP1iGgBUEO1QqFndW3+Aclo1OgKswpOsVDQLfcej73Gqk1PhPfPzAWK4CMf2N8PZZI7BnmXSjZPx8P8op6/blbP6Brj8nt1iq/FtjTE1PEQK4ymzjEB1RnkF/fy5N+1KGVoqCpFbtvmBqpJGjFfK9ivqI2egdwCcPRDfL+i0FOTW+RIgXKOQiNc08xNtdJAxkdMQ1mtcJvR40uHCy4MULSEe82QkaLQMOlVehc0TQygLNMIl7MUAN6o6Mj8Mrff/yyNbHqG3hFfy1KDb7FRCAz+iOGcfJIeSKsLsPdQzOhVlmVXihRCziCPseddK5tS+pp4fMkJUXlV5r6bTvB8pqZ5X3ki9LzYnOyY23oP35tdFF168wCqpmApZ9ko0Jh47Y5QbAJiSjj4/8VBIDHBdVhsZiuG+WsUjqFuEUoU3gynnzkp+QS3YbHzfllP0CcnGLot5yjEFgf42b6nl46+MGZrGVPQ7V6e19qKp4UbvK7FFM9r80mz9Huj2N1mo8bVqgDzcXpe/S1mbpDNTTGbmTVncUkkexgpbA46lSJdz4uDABTmdUSP3V6ZefQo8MCvAFe+A6TnaPxa7+eT/17Kr1kPbxMNd2wIgIUly9f+gV/ekX56OdYr/7a5GG6qFG46rlDOAxDhGuOzNg+NBTQm3Goac2rGf8rW/hYb/x89xqGJFis/23w3vUELAyKxN8ew1PL8H8NzVnveLQ5AKdA7VEzTmDce4ZN3Ps5+Lb4mhucu/g2ToN0N9NB4ozwviwPc/3JPRjFNI70wACxcBTTh+XCFeAyHn2GvloXr9JAFOuihWC0Z1eFjHsvYa6KDsxWIHOY9eu3v6e3SNQrBrkdNo2rkfCxcp1cqMUKvjcXBxF6LkyEtQxR6G4WXK8fjr5Z4bhZuAG//Pzw3HQ/yHhh5iTkwFps5ZPPI+ymkps7yuBNjvO6+Jt5HrfetXpWl6zznpawpQKol/i429i9tDDl5lvvveIjCp5BhFVywg9ckMUYhrqgMweUW6amzOviezbLWvV2tUFhZakSXxUoPmVFevhtUirxmsn+OZAtIYXOQ0XV2tZ0+b7bFH/oxn/i6H9/6dhWFYYXWU6KM1CYGHu4TUQMwTDF/lUY0F6f4W7hOYxoTvT1a71378zaXGLJ4A0gNAtU8UMrzddVqhnFyizw3dh+TU4dfEsMVq5ysHeygwZi/zrWEuvm5YAc9KIsDFCD+Vgqb5Y3o3A18LTPHKh8FvCYNfTS6Yz+l4FItFCyt99GzMn+NeSm+JjEIMcNz4PALo6asnDheTNPLZORSaRoFlybmIQ3+mOe04yEa3GqJ626+e21DGurmuoz8FncDcP277E4c7OQakuM8Z8c/Yh5/KcdjcPgBWLiWcpIN9AJtvNeN0K/dw3CLVuGfzJw5LdvTwPM18CMAGr0kPhH+cYd5zZKiYm3mPPvgzF3l8Soq3z/8MkXa8jyXapnHtSSkaKcQLiTN10o57qOco6dMK/Mzisq1eaPMwamUmY8E0Iu0OESv3laEzVq4gryP0rPi/IsmjK7gytDkTpBdoBc1PW2OiDCaDUokG0QKm4NMTrjq/a2mO72QpAHfjrCR1cZci/1IblFMUbbTa2OxM0dC1/k0P32O4Z31xja03EPjeO17NDD+sOnpKaQYqnH62TMkPsIZRKkpdre1u/lEbrHSq6FXKRxq8TWbRnY5us6n2kqRwmXsDe7X38JKpLZTNFB2L8VRtcxp3JF+vn/0VdF3x8u/S4M0Kulpbt8TWVm6n5nje6qinwwgPDqi+261wARkTwPvrUKK4iN6bH2jaHWY3pjsovD0tJqhmmAnz19qivuz2Hn9CkkeZ26R2ygkzBBYLsYuvi13M8dHVYH0PNBwmNtRFDG6QoShZi+KarXD5rosdgBVhsfmrtDYz1+meHIFKUaix7ivxNhKYWOxifdNmt4jIzndXpOsq1pZMTl3VfSmEQnQlQITyAGKHusyL6tFeKG2E4uN3qvhl4WXVzcr4TYapt0qpSzDnOkZnq9SmmIZkOXnkk0hhc1Bxiizrf3CtXtoCMr5vZsPsxsYjROLGZ4LTyOb9llFuXZihOfJyB/yRFZ6S1TVHLxYEPk1xvnNzNFIBDpo3F77v2n8Gg/TW5NbAHJWPnWXC/T8+JpoNLWymRO0WrVLcoJeuPgosHBNVLycYim0ojJR1xvleyNHlubkADSYCgCI1vmNh2lw5y5THESOcVbT8jJfReU508oMsVUnRX6Jws9Xy2xnUBEhC6ef58Eo194wCkVGZtQsKy+kWRGlqDToziDFoGoRVXg612D3c7/pSXby1avMcSkk6f0wPCP+NuYrGeLJYqeHJ7doPgSUsswhsrvpxSum2WtGsYgO1tMib0rlNV1xGAq9epk5Xmebk9sI9ywNKaoWenH0iukJMs61Lq5RsIP3SKVghkArxY01ZtwswU7g2Id4fEaXbYDCzhvdeIfuzZIY5wiIhkOmtzA9zYq9yFEZlpJsGClsDjLOIENQucWloRGHf++WblZKfDrPLjBfItS9tgCrVhhOSc/SMIU6TYN+KwLtzN1IjtOgZOb4esNhGg2tysqpUtYsbe9+dG1D4gyY59QpKmQMUlN8AneFaDwDbUx4zczyqXTxBhOOR14BCv/InA+Hj7k3Pe9ZmiCaXeCIhmKGHpHsHNcX6uZTdXyUAmqtJ1ytys9B5WyoSD+NuyvITsiH3kcxtbz6pZynZyKfoAdCrzKnJbsgEmhVc7aRkSRcyjA/yPBOaFWei0KS7/G3L02gBXiO/K3A9e8JL4UIs+UWRRn6w2bTQuj0fimih5DFLhK3AQS6eF8M/dgcSBm9iyMicotMKHb4abQzc7xmLffTU7dwQxhWhR6fQAdFmw5uKzEquobrQD4FOL1re9bCPYD6DL1mhRRDgY2Hl4pkrcrPV4s8Z+UcG/IpzWYuXMNh3kMLN0xBFz1mtgPYbpx+CpihF3lPQeO1aL6bnr+dCA1Vi1gRAjVEXLUshY1kw0hhc5Bx+tmtdPx1frHq4Bdq14N7s+lWtUwxMXeVX5xahSGAvqfozahF04CxV9my3niynb0I9L5nqahYi5uNE8/S0Bot7lXRwK+Uo/EKiXLw5ASFR9+TfN0Z2Hjpq1ZlZUkxbTZEq3Qx7KLa2YTNGRShKRsNV0MfRcD021yDYeBiI8wJajjEtdu9Zp8YX7M5MHI1ygU2o1u4wcqh7Dw9DsEunt/Oh1cXbuUCJ2AvDlAoW518snZ4RYNAN9foCvO65WL0/JQLrNyxOnlNJ98SuTQKAJXnu+/JpfeiqtKI47s8z4pi9kUy5h45Ajx3hSQQilAMWB0UOOWs8KR1i1lcJXMApMVCkZgUXrnUpOgtFGDTzOgxhsDiY0uHjJYyPM9GMrNWAfSS6BJcYeK8kRu1GsGO9fNgrHZzCrohSDXRH8foNG1zAn3vpRAtZXnuPVGuKR/jOQ50bG7i/a2YuchrHu6haCwkeY/6W2/dxHIruML8/StmeHy6RhEaObr+kFOJZBlS2Bx0Wu7hl2NqWuRgbKCZV71IjDEnI9gh8g5m2YU2FwPu+vml687M0EXti5oegcQYn7iDnRt7uvM1ie6zj9IDYHgBGg4xLOOreWL2NnOuTnKST+iuBjFuYANf8J4In9JLwsuSW2T+TfQYDW2kn9vVKrxWxTQNrjtEEVPKmF6raoFPtpNviYqgcYosm5OfL4jtrsbCdZ6zYKc5gXpxUIw5eHDtSrnEGM+NMc08cowGzhVm2KtS5Bp8TaY3RasIb4UVuPwdekrmrvG19lMUM4sDzO9pP7V0f1YbEO4T3jedicrT5zmGopgFUtcYGqqW6WlqvssUtlZRrTZzQXTUbedajGPLxSkYQr28pr5mijlDEHijS71+WpUVS5U8f39UG+83TwPP4/GP8phuNzzTcg/v89QUj9nqECMUasqrLVYKIIDeypGf8LxqGgCNx9P3Xnp7bhdNo+fUFTIrpJwBesgy8zwH8VEzjBvqXul92yz+NjaWnH5HjIjQeUwt997ediV3HPtG2PzhH/4h/v7v/x7nzp2D3W5HIpGo95K2l2pFeArE05hvlXDAVlCUWz8x7hUKCTHrxw7MX2GTtXKOwwYtdn5pG2GZQpJP1YaoyczSyE+/wzyIjgc3NtBSUfjE3nYf/wCiP8oNmHXcECJiggbRHeH+hl5kLsJqzd20qmget2gaKV2nsSjn2ZHYSIqtlIXHQWWej1fMr8qnGbKx1fR/cYZYcgwF8LaYyeClLGAPAC13Le1+W0tiFHB4zKdfh49rrxbXL/8vpnkujPeoKtv4Q2EZ9vL71MjpKWVZTr5wA4iN8tjmr9Abcfj9FBOJ0ZXCxuE3E1VdIe5Hq/J3JL/ICiUdPE5vlEKqWqA3SRFrsbnoBfNGee08EQqa8TM85tQ4w56lzPreltSUqPQ6zaRkI4FatbFKy6hSul3cYeDoz1DgVos8bm/z2iGf5DhDlf5m3h+6xjye6XeAw0/f/nqMiebLk5N1jULz6hUxBd1KERQ9ylDm7bSRUEVjx2Cn+XsTaN/5pGXJgWPfCJtSqYSPfexjeOSRR/A//+f/rPdythdjyrTRUVW10H3e8+692813JzAMeD7GcIArwPCBKwxAoZfACMvYXDxP1RK/aKfe4d92L5/cC0mWS2/FNa9axHymG+yromt0y/ua+aVrsfLvxQGzUqcWTWPV0cwFXk9do1HsfoyCa/JtTrtOTXOCd2aOfU2gMGcj1CNyf6oMc9TeAzYXvRJamQnOhSSNoqLTIAY7ub/xN7kPVwPFoDvMnJhqZdlaRa5MLdWySJR1UlgZoSKtIuYlgZ6nUPf6njFjbEFukdfR6uS5W7huii+bm/d/fJjnweahB6TpBJN/8zEKQl8LPQJzV+g9CffRM1FMUwyU0/S8GU35XEF6FlrupickOc6cG08jWx1Y7TwXcVEy3bSGGCxlGG5yhSiUihkKNOhml+pSVgjLmvyirWBzbbzhnvEQYPzOKCqvsTEV/XYEBiDmnB1lPld2nvvJLvC85uPcf+Nhvq9SoKc13Lu0N89WUNX98yAm2bPsG2HzB3/wBwCAr371q/VdyE6wOMCnwmCHmSw3d4WhlzupzDHYSXf01Nt8uobOL+xgB93guTgNmTG0L9hN4zd/lVVG3mYg2s8v2IUBegNqJx3fCl1nD42Zd2gU0zMsX/a1UmQ1HDa9E0boQV+lGiY1SVHjjZg5MItDzDMJtNHb4282Qxrzoi/KsQ/y86UcxUzjYRrwWlSVXgKrnd6HUA+9EuUcQ0ETZ/gkn4vRyM5fp0fjyDM0OrFBMV7Bbw5ODNWE0xYHmbuTT/CJPdgBNBzh34uDfHquFEQfnxPrh2AUC9ehWBgSquSBkihhXhgEIn3mSIiF6zTGlRK9On3vpQgxppEHOrjvS99ipYzNRTGbmuR7oLDIq+NB/t6UczxH3iaGecp54OI3KQhvVkJZ6XnJx1auXauKoaIOAKIjsNVBr1Apzb5EFoe4X0QTPruHoZTmk1sLTRXTvEeS4xR4kcO8vqtty+oUnZY1M9m2kudDgLJNSbaRo2wiOXeZAtob5Tyw8dco9Ix1WZ1iCGhy/e1JJLvEvhE2W6FYLKJYLN78fyqVquNq1iE5zvCAVYQIrOLfyYk7S9jYPcCh94q2/rP88gx101OSmWOVlPGEarHR2I79lE+Sisov+WKaYQrVQoGwGRKj7IJr9/AJ3t9Or0jrfRRIMxdE11obvS3FNEMsWlVUbwW5nXycT/lGmExRaaSzs2KgY02lkDHWoKGPx34rPFHT4NucDIvlF/h3oIt5QA43Bx4aU6cXBygcOh6it2LmIkWiw88mhEbCcGaOydtaVcwIOs+p2NGjDKW13U/B4/BTdN2qvb6vme9NiTwgTzNQGqIgcPk5vVu10lMZ7KLg0HUKsdlLphirpeddwIX/l8egVbkeVwCAwlygaoniAmCptUfky9hcPNfz18wcGl2j0Fke6ogNM1crnzA7TMdHGCKulHhvtZwEUhP0zBm9gAoJ8X/f0infG6FcoHckNizK5Gd57/W9d2lvHYNABwXc4iCFfrnAY286sX7Fkq5z24Ukj229kLdqAdrv5+9CpcB7VlGZ15OdA2D05qkC0JeGTCWSOnKghc3nP//5m56ePY3VxTyLWrQyX7/TcIWYt2J18cld15g7o5VplI38kGqFxjrUTeOZGOHTamqaT+nGkMONUCnxy/7qPwKTZ+j5KbVxqrEnQoPV+wQrbhLj/JI3BlomRugF8V5lboOnkU/2OhiSUmuepo2nfE1bun9dN0M8t8LuZl7Lje8DM2mGHbxRJiBXCzxPio2Gzu7mU7Xdw3CCMaqh8Qg9Gnbv0pBFcoKhFk8DcOMHoqu0na/b3BQ3xz+8sXUC3PaRZ4DzfyUMqZ3iyOZhMnikn0nQum56URSF183oDmwRVTLFNI8j3EfRMHdVhB7d/L9iBUopoFJhjlTTcbGdWQosRWFSdXKcYsDuYUWYr5VeEYP0DEcXFFIUGMU0vTWNIiRpdVJshXooRCoF3m8Wm8j3GWbl2kaEjSaqfrQyhWZ8jMdnCI3kBMV0uG+lWHF4KXpmzjMc6g5T1BgVYKvur8oZb3MX6YlRVYb9et6zfpWkzbm0Kqn5bvYUio/y9XxShI92oFJKItkCdRU2n/nMZ/DHf/zH677nypUrOHr06Ja2/9nPfhaf/vSnb/4/lUqho2MPxm4beoHF66LiJkAjYHFsrGz5IKJagN53s+IpNkyh0HB4ac+Ock4MAwzwCTkfF9VGcX6m+zGzgmQ5lZIw7B4+5Y+f4eDGuSs0KnYfK07sHrPXid3LIZnpaT71VysMe1nsItQ0SJd9z7vpAfG3UvC4w6JDcIHDQy125nVkF7jtQlxUu2zAKORiNHZamSXidh8b9PnbmV8TH+W6Zi8zv8bbzHNWyrILMUDDHRumSPO10GjWisXsPI999hLXpYPnNNDBPJiYyIXJx2nQG/rWz2PqFH1nZkX1jjvIzsjGtbQJg1oucJ2KQiEZ7GRIZeocjXcxQ3EVPcZ8pJYJEYIChVguBkDhcc1doYfF9xb303aKfyw2M39JtXI70aNL1z9/lSEuixWIa/TC2Vz00h15xnxfMU1RNneVnhtXA0XFWs36llPM8DwnxyjgSrmlM6UA3nPFNK+tuspDjqeB5fJVo7HfLcJfiVFg5hzvhYBPhP2uA+4oB2NulHAvcPh9/D0opsV5PHZ7+UUSyTZSV2Hzb//tv8Wv/MqvrPue3t6tVx04HA44HPsg+TbYyQGIxuReV5BPx3dyAp3NxRBQ631r/9zu4/nyt7KyJjHOp9dDTwNdj6xMvNZ1GtiZizSA0EUvGRuFh7+NYRBjBEFinJ6jUpZf3n3v4TVJTvBL3CiDVURzupQwtHYPn6an3+F6nEF6EBrFoMTOR5ngnJmhYe86xVDMeiQn2G4+t0iDr1rEpO9+0aOoInJKRIl6Ps5wXnKc56LxCIWP0dzPGL7ZOMEQmMXGRNmx17nmapGCsVrmeUqMUcDdeEHk2DgpAuLDHHxpdOtd7Todfh9Lsst5irna7rXBTp6vq38ruhdX6WnpeFiEBn9KAx/soBdl4gyHajoCgD4uBoyC1VLFDAWSu5H5TRnhpcouUrClpkSVj0IvTuTIysq5KVFq3NAH2Cw1DRBrro+uc2ZWPsnt6+C1L6YoFjciUifeFK0N2un5m7vE69N42FxTPs7zY3Wuv62NVk+mZykujdCb1c77Nj68OWGjKBQ3gU56TReu8f5s6KPAsa0iwiSSXaSuwiYSiSAS2YaeCweBRpEoWMnTmG5HqfdBxmJjnsPQj+lFsNgoMA6/jyGr1c5fbIgN6qxOfqFPn6dXpf00AIVGpJDk9mxOVr8YT83v/G9OiW46IZqHVZcmbpay9GAYuMPiaboshEhNKKHtPhrVUo7bupUh0DQa+PgQ4Gun8NWrNCjHPkzxl5oArvwtjUu1RCOenuVxNR6jaBl9VYRVhFegUqIoihym4Jh5BzfLuisFMYCxmfdjaoYCzcivURSua3GAhnG9JG3VsnbHZkWl98Tu5RoVO89XYpRCRtPMrtnuMM/zzEWgIjwc2QUKAIcI89l9YlbUAsVGPsb9L1xlONEYaREbZhuBI8+YXr7MLPdrdXBNVjv7Cs1dNT1LgDkbquVuIBmiAM4naNzDfTT461HKMoTpjZp5KdET9EDNX6U40iq8R1vu2b4RBoZ3sRatsvX+M1NvM5HY5uI1G36JwrvvKTm0UlJX9o31HBsbQywWw9jYGKrVKs6dOwcAOHToELzeNZ4W9xsWK2CRPRs2TOMRGqHFIRriYMfSyqXlLA7i5tM6QIO5cI1P8TaXaIQnQlulHGBxMWEZOhN0R1/j9oNd7CGzMECRUcpyHas1xlut7LZSpGfB4TW9PuuxeIPTp6slID1HD0f0GLeTj3NYpa7Rk6BYAbud5ybQzmnRIy/TmC9cpdENdNDwWO1mwnUhRY9K4xEKhEqOHolqiWI70EhhZ7TaB8xt5FapKtoo2Tl6lRQrBZSicn8jP6FAXW7US2mRVH8XcPQDZim33cdjLCbNEQx2D6+lVqEXJj5K74rDx2ufnmZey9grFHGaJhrDqWZOkq7QA1SbP6JXhSBwAuFDIgRq4dozczzfPe/eXLdc1cLQc/Q4xY5NjBPZjmZ7BsEOYMZHIeZu4P1eKZmexM1QyjIHzhU2PUzOAIVu04m92wRUckewb4TN7//+7+Mv/uIvbv7/vvsYovjRj36EJ554ok6rktQVReGX/3oN1mop55eKHleQBrWQ5pfy7GV6AMo5GtBwF41tdkE0zFukCPA0MFF47jKfsn0tDAmtldNTy9xV5o0kx2kQnX6WBzffvfrnq2W+v1rie11BGvPZKywZN8JtnghDOOlpIXTAcRO5GBDsAXxB7nPiTRrmYAfgCHIYpt1r9gAKtItBkXkxH6nK145/hPueu2yuTdPEugIbO/9rkZ4GNN2cFF/McA2qhevLx0UPmTSQWaDhNwxnwE3vSiljLIrnuJQRniC3WSE3/BLFjsUqhmCeYCgluyjGOIAeu7nLFH/uEO8Nb+PSa2PMzVq4TkGVXeQ58LfSIzR/hRVja1U02j0UxzPnef0sdp4DT4Rhw52a4+aNcuTI5NvieruArsfWTzhei3Kef2q7NNtcFHzl/PatWSLZAvtG2Hz1q189mD1sJFtH0zizyOjHEmhfP6wT6mIIwJiQbHWy90t2Fohn6AHxNNAToVfoXk9P07ui60xKLecANPAptfvxza03OcGn+VJOhEniZvVPdo7deJeXUOdiDKc0380OvvkExVhimMnLRojH7mGi7uirYjQEuPbkFM+RxWHuZzhNMebwcuhloJ2eJYuNT/LOANelgN6KUBe9Cf42hrgWblAwFDP87K0qgEo5GjyHj2K0nDfFk2IBoALVnJnPU0zxvf42Vi3NXhCVTG6G8AqJpdtXVHoOGg5RLDj8YvBrlKGh3AKvXzHNYy5mgJlLgKdJ9Kap8UJFjjK0Fh81R5B01oiN+esUSLoucn7O8j5quYufdfq5vuTk+q0a2h+gZyoxznNjjOjY6eG0Rm5MKU3RvtUZTA6f6C0VM0VmPkHR6Qxu12olki2xb4SNRLIErSq6+15klRAUioK+J9cu8470M+8kNigmJFvpLUlNMDRh81IgXP4WcyrycQoZh5fiplJi8qonsjWDEB8TnXF1MZzxsAh5WIBSnoJhubBRLUxu9oVomOevUpg5A0ywrU2Qbujj2jJzFDADP2QIzddGQ5+dZ/5J+BArzipFChOrg5VVrfezjLxSAFrvYW+clntYuZUYZUL7kWeFwFoEmu/hMaxVFVUuMA9j8QaNt6+FYY/pczT8ig7AwjEPekUkAiviWnh4jI2HmRNUTPO1ahG4+nf0orkbKA7ycXoeOh7k+1vvA4Z/QmGmqGLmUYBixOYUOTRihIVW4bUw7qnkBEuh7SIk7GsxhVulxONRFPZ3aT7OHK/4KEODRoizWrp1hZDDBxx+VoTAyjyW3Uq6tVg33gphLawOVpoNvyxGfIjttj1gDi2VSOqEFDaS/UlijE/nXjEEU6tSsMxcZBO31bC5gENPAenjzBFw+plAbIwiMAh0ABC9W8qigki1M28iNUVvy1Zax2tlGtNynmIFMI2ralm9A667gesZeIFPxHYPRZnFRqOo60vzUJx+/pm7RA+Ip4lDJa2ig24pS7HS0EMjbuxTVTkPqZShh8UrQltWu5hMnuV+vZGN531MnmVfIHcjYHcy/2LyLNcS6RchpBxFl89jjsqoVihmAqIq0BUyDbGus9Hg5Nv04ljt9IwY3hG3yPnwRFiVFhsUCdpuigm7EEfVMhsl+lrF/KkhemAm32aYrvsxXq+Fa/RYRfp5bopphqgAemraTlFkpaZ5HxYSYizEBqo5VXXl1Pr9RONhntPEBO8NX9OtE6clkl1AChvJ/iQfo5gxOviqFoYjEmPmvK3VsFiXltHHhswndgNXiEY3NsRtOkRORKCN3opKYWtr9rdReFns3GcpywRdTaMBjhzlJGxD7IS6+FrL3fQMWETOSLCL+TWLAwxRrfaEXMqaQy5zC+YMJbsH8Ir3V0pLu8UqCkNWmVkxhFCUA9u9QPuDm5s/VMrSU2Pk/nAHwNgbXLPRkNDuphAJdlDQzF/l+6oVhtCMkQK6bjbsa7mHeVX5OMMpnsjKKpxQF4VRMc0S95GX+X7VKsqyRbVX03GKqdmLwPXvAb4IvTE2FwCXaJw3SmFjczMvpZg2z5vdBzQe5fbKeTHC4eSdkzzrazY9VRLJHkEKG8n+xCLa79d6LKpFMStnE6Wm4V4mgcZHKQIKounfiY+aYYbGw/SwjL/B3jPOAPfR2L+5stZwD0cYTJ3j/xcHzUaDoW56CM59je9rOMQQSnqWFUDBTsB9LwWbYVRjg/QirCZswn301FhsTA51NQClt5h3Uq1SANqcS5selnLML3GFuC6tQiEX7GTfmJFXea4DbRQN65UhaxUKTJubImVxgJ6u1AR/HmijoNF1Pu17mpjcbORuZOfZM+fQ02K8wwUKE3cDe+IEO2+dj6KqDEH1vof/H/wh845cIcDup5cn1MV9FVJcbzbGJPLocbE+zRTJNidnJY38hPeFxUpPVtfD7N5rVErJUmeJpK5IYSPZnwTamYsRG6ZhL+folYge31zfD38rmyMahtMbpUehoY9GeejHNMhG4nD0OA3x4A9plNeaCr0aqoXjEBoPA5knaEAnz1BceRrZydYZoDH1NNKIxwaBcDe9RtUi4BRhICMstXzOkUHLSaD73TTCGdFkrvUUGxlWi0zwbLtvaU5Pdo5VQT3vNhve6RrDLCMvmo3ipt9h9U7LPWsfq93Hcxkfpadl4TpfD7SLafYvM/RVzlN0QafoaOgzhWlijO/TNZ57o3fP7EXg5D83G+HFhs0uuMEO5rvUih53mEK1+zEmU6uKqGJq57ZHf0px03wXRWdqil60iKgWqq26a7qL98XiAO+39tOi7YAdwBb7wdQbXee9Xy2LKfCb8MxJJHsQKWwke4dczMx9udXTuCskuvu+TcNt85pGZrOEexjeqRYZijGeuP0twNEPUhzkFsVTfAOFU3wUGPgBw1KukFlZdCsUhQbfG6XQyUzTa1DK0lDaffTcaBUaUK3K0u3mk2zSV0gL4aYzv6O2S20hxc94GhlKue9fcjZTYpQCqPV+5oNMnuX+ps+DDfxEqbOi8v+KyqRZH9i9d+Yiz5FR8pydp7gJ963dcdjI2SmmgevfB6BRgDbfRQ/M+BkhJu6mFys1XbMGgd0DzN+g16VSFCMUdDNZ9ZFPsO/M4A94nqxOYFx0Tj7y7NIE3trzXktqiqG3QDuvR7VET1pijNe/+11LZ0mpKvN/akcf7GdKWQq7+IhIYm4EOh+Sc58k+xopbCT1p1oGRl4RT8FiWGTzSRq89dz6/hYzt8Fiv71uzaq6+jwep59eDX+L2QG3nKcnJT3HMIvVzqf7nnevHOOwHu4GCpFcjELO6hIGtZV/F7Pm4MVIP9+TGOMTdrBDhK80CpXZ83y/zcmeLF2P8t9t9/MPwNLi4ZcA6NxWPkGPlNVBQ+YV+RKJUR6vpjE0ZXMu7RzsCvM9xdTawgagiDj8DD1eisptGB6mcp6ioe1+swRcUSlgrA7Ti2ATIy3SMxRGFjvfHxtmL5/UBIWf4VXxRJgblRznObsViipyeDQODw338rokxoFjP7t6EnA5T/GTmeX1azi0vY301iI1Rc9hdoHnNnr89pOPJ8/SA+ZvM/vpDL/MQbTrzQCTSPYwUthI6ksuBlz+WxpYTyOfhFUVmHgd8IRv3XxPUW5dWptdZNO09AyNVuQoDfdGcYXF9OisOTgzNkJvQ7Sfnp65q8w7iW5iYKunkQJu4AV6nUoZhlxiQxQOAIXG4iCFTLhn5WDU2DDDWQ4/0NAsRg6cF96Ru1e+t1o0jbXDx67Ni0NiJpGo/Br7KY22ojL0kp7hbC2HMHSlDAXHRsqTPQ0sv569ZE6rzy6Y859qZ0Y1HGKoSbHQA+ONsonepW+Box7sZu6Or4Vehkp+6WRq1QIOw8xt8BpEKCTjY2aDwMw8hepq87vKBc7smnrb7DHkDgN3f4x9hHaK9AxzjoppXrfZi/Rg9T9rCu7NYuRUeaOmQA128H5Lz0hhI9m3SGEjqR+lHI3E2CtiknSFuS7NJ0VPkcmNdxVei3ycBiEzyy/qtJgHdPj9Gxc3/laKgZGf0GAmJxh+MmYmWZ0irDS7OWEDUCTk4jxed4OoVBJeF3cYcPpo7CNHVh+KmpoWnxUhKYcXKLrNiqlaKjVl5gZWG1838EaAoz/L86YozMUZfYWGvJimd6SSZ76OUe2Uj9MQ6hq9PsuTmdvuZ5gsMcY8GYeXPWc8wstRzjPclZljZ+Fyjj9zNzJfZvptVlMZ+Fp5Xpx+QPex+soV4norRf7t2KBRVi30HCmv0lsBUDx2Pbp6ZV1ijGstJHkePBHep+98Q/QI6ln5me1g4QY9ZEaytyfCa7w4uHVhA13MjqrNSRP/Xj5TSiLZR0hhI6kfyQmGKXwtNHzuBjFgcJQGcskX7haJjbCSqfGwmb+xOMhk040Km0KSYRuLFdDFgEQFS0uljQqgzTD6GvDqlygYrA4aqHKeLfyjR82cncws14BVhM1qidK6Ljr6LiPQbjb4szopAkr5lQMqVXWpOOl8mMJhcQDMyTlk5jLFhin4jCnbDi+b5dWGgVwh5iqlp0SCaoMpxHRdNFq8wJ+lJilsLHZ6eUppoP9DDPnlkxQ0hreo8TCPIztHcaPaeB2iRzeXI+IOA/0/Y/b0cYXNmVR2z9JmdsU079FimoJXUcQE8QWud6eETSGxsjTf6hT3xRaxe9h3ZuYCz6fFZnpq9nN/HckdjxQ2kvph9IPxt9IwFLM0TrkYQzDLu/BuhUKCBmB5UupqzfDWYu4yjWf7g9xOeJJVUTPv0LOSj9MYbMa7lBgHXvsz5uoEuyma0tM07lY7z43FJsYMqGuH2wLtDD1lZoVBzjBcYiQE1xLuAxpGKPb0KsVP5Kg5J2ktLDYm/TbftfT1SpFJwOU8PQmKwmMYf4M5G7X5N1b76ucnPcMxBb4WNhV0+ik4yzka1+Qkw2GHnmZIanGQBr7rIXpI7G6KpviI6ekJ9Wy+skdVKSw1jd6pmQs8l3Y3EDkm+vhYee9oZVPQANyvK0gxtFN4RUhS07hWrcL9Lk+G3iztp7idxDjvCWeQycO325lYIqkjUthI6ocrSO+HM0jDmBxjaCXQzvDAdlRmeBpp+LUK96VrdOlvZqJxakrMExLiKNAmOufaaORC3Qz7bDSBNDEOvPU8E0GhsLTaE2HeSXqGeTDpWRrWggg/+NtX31agnWGTqXMUATYXwzzLxUpqipVMmXka/UAv0NBLj4kRqMoKZwAAMEpJREFUyvG1bq4HSz7BtRueC4BiIzbEKrL1EosrJVZljb/OHKHGfiCfYhjOYudx61VwsnqM58wbMUN9mXlg6izndRndhreD+DAw8QZDWaEe3iuTb/H8GJ6ghj5g6Efm/WSxMe8lsIpHbbuIHGEYbPGGaPBYNvsd3Q7OAND/AQrjapm/L7U5S8sx5rNl53n8gXYpgiR7DilsJPXD30YvwMwFhnZ0ncbd32a2r7/dBMZwLw1tbIgGoVKkAd9MLowrRI+Sga7RIPS8m5UpVsete+dUxUwii43zpooZtubXdaCYpKfD4aN4OvQM82nKeaDpJNdqXaNHiqJQVIX7aIRt7pXnLBdjaXohSQGglRmSSogeM4pOkdZ019q5JQDDPIlRIDVjGnPjnFrE+qolGjzLGus1mHiT58Hm4giC2UsiadhrzlpSrVxLpUjBF+4zhZei0oPRet/6hnizJCd4TQyhZDRtHH2VlVbVMvv3VEsUplYn4AwxFyi6iZ5Gm8UZAI68n56pQool8KHu7Tl21bKxTsm6zus2dZbHb5yn3idWz/+SSOqEFDaS+qFamI8R6GCJaWaeuRsOHzDxFg1y/wdur2GY3cMwRmyYXgSnn2JnM1OUI/30GMSGub1CkqGBcO+th2FqGkNZs5eBSo7vj0/waTs+LGYPRTn2oJRjb5r7fnHtxntrHqd77XBVfJThMuPpXrUCk+cArcRE4ew8Q2KTotLn0FMrvS26Doy9zkReo+Oz3UPDnpoSCawKtxU5sn6IpJhmVY9q5XG2nKSwSYwxLGJ10JuUmadgcAtPWK14VC1ApUpP3FZYPmNr+c8qBVbCWaw8vnyMnjTVwlyj6HHgyAcoJu1u0Z15k9dsszi8K8OBu0l2nuFXZ4CCT9cptCbfojBaSxBLJLuMFDaS+qJaaAQVsMW98aTs9FNMpKdvPyRl99yeQQh2AoefZt+UQoz9daLH+eV+KxauA8MvCs+EmwMD44NAyylOy556myEdxcLtPvwb228gjR4xWpn5LKlJYP4yRcnwSxQ1WpVVaQMvUHAceWapoMzMAXMXKWCMiqOkGI/QdoriCRoroFrvW9/IzV1l+AkqS8C9EX7G5qHI8UQpAD0ReiXKYu5VZpahLr3Kfzcc2nj1k0F2kR7C9DQNdPTY0oRfq5PerNmL3LbDCyRG+D4jR6iUpShtOcly/zuFfJz5W0ayuaLw2uVi9LBu5mFBItlBpLCR1J9KkTkX7ppYvcXOkI8xvHEzaBpLcS2O22vaV0uwc/MCS9fprbE6mBwL0Fga4qaxn6G3+DDDbw/86m2U7q6DNwJ27L3BfTn8PDfVMjD0IiuN3A1ANkURtHANaD5BQ56Z51P5wnUKzfaaSjJ3mKXqTSfYZVjXb+3BysWY86Q6KGYdXgqkSpGenv5nV+ZsWO2szBp/jeEnRWE4sf3BzY3PKKSAgX8SidZBeohSk/TohXvoSYoN0gNTzDD8lSgANt/SXBa7h8KolN34vg8CFjsFsjGMFKDQsdh5P0kkewQpbCT1x+GnkczMUTwoCg2g3b35xMTkBL0g2UV6SJrvYuXPWkmxhaTImQluzkhuBF0TXZFrvvQVhTOO3A30jLhDfPJvu3/nnnhD3UDDEeDCN5jrA4UJsLFBoJzmGrSK8IaA+UTlPIXM4A95jooZjjJQrfTQqBa+ZniilndcLufNJn/eJvPn6RkKgo4HGX7Kx/je9DTQ/0EmTV/+NhOh3Q0UNE0nmGfka+bajJyQzXR5BpgflJkRFVwq4AE9TXNXKGySE9x+z7u5pnKeydGLw+ZsLoDHbXWYk+XvFPxtQLCdIVl3mPdMMWN2uZZI9ghS2Ejqj8UKtD9A78GimANkdQBtD2zOg5FdZMO/YppGsZxhR2PVag40NChmWJacGKGnwd8CtD+0+qTsraJaKNSmzlKgqRa67K0OTpz2tTKsspEOvhuhXKAHolJg6bevmULKYuP+Fq4xJ8TbTMN0RSTlVvLsuuttZh6SrlFsTp+jCGk8zFBVtUgxYnOL+U1l5kgtN2qJMU4Cz4mEa18zq9yM3ii6zjBTx4MUsLk4Q026Dpz/hphbVKEXZ+YCcOLngL4n6WXZSPhvLUo5hvyWlP67hbjVRWm9zp/bPfyjWnheKwV2aFYtXFvLydsvtd5vWO1MFHad5zW2eylydzJpWiLZAlLYSPYGwU72I0lNmu30fS23/lwtiTF6AIzmcU4/K1nmry4VNrrOsQGzl2l0VRVYGATKRc4H2s7pxs13ieTcYQCi+qj5JBOmtzPZMhejiEtOssrJ4mD1TvtpHp/NCXQ+wi7CrhDFlbeRYwM8ER5zXnhm+t5LD1Z2wfSYqRbmwZQL3J63mUnVy8vKywVWEBUSIidFp1dk7KdMVPY1U5ykpujJcTeI6q/jQOy6meDtCvM+yIi+ONGjKxsJbhaXqEKrlGikdY2emJZ7KADdDWbTO2eA+88umAntqWmG7aLHmTi+3R6+/YAzAPS8i54/Rd1cewCJZJeQwkayd7jdfiTV0sqOuxYHK21qq2DycXPYpFH9E+qiCErPbG/pqivEyq7khDkJfLP9YjbC9DvcR7iHHqpCiiG5QLspCJrvotGODwHpIsWku5HnrZjm3x2ngWMfoRfJ4aPQMLwkioXb6v/A2tOts3MUA6FuU7gF2hiWyscoWLsfp1hJjjE/o+kEw4Uzl7iGaonvZw8AJg8Xt6H5XaibImXhuhh8WaVAaxKJ5b4WJnRPn2NY1Jh0np42y8Ch8/xqVTGN3XNnCpztyl2TSHYAeXdKDg5GyXEpxxBDtUIR0/HQUuOja2bDPgPVwqTjrZYPr4fR/n+nqJTMnBTjmJx+ioPsgilsbC6WcmfvMUWWVmbop5SlyAl1m6Gl5ruZYxMfoYenkKJwsnvphbF7uM/ac1s7LRtC2GiaeF2IuYY+5mvkYxQ27gYKBU8jBUQ5z7yfSpGCxhXe/LiK1bDagb4neAz5uCjT7jL7/qgqhV2wk2vTNGDyTR6Lv1WUN48B5/43168oFEPtD2xvCFMikdwWUthIDg7BLnolZi8DehmAQiPWdGLp+5xBlhQbpeSKwjCDO7w7eRPVCgXUdiVcqhYKj1LGfE3Xza64tRglurWslaDdcIhCaf46vSbRE8yzuf4PFEJWpxjTcIiv29wUR74WJuoaYiA1SWHnqvHG2ZyAraYpnMXKa2WxU8xkYzwuo1fOdpXAWx0r861qURTmW/lbmDxdygChXvNn5QxLwZ0B3isL1/meox+UCbQSyR5BChvJwcFiZZgj3MuQi81Fb8Xy6hmLldU2wy/TG6HrDLd0Pry9XWyXo1VpFOeuUgi4I/RSqCpFQbBza/tXLcx3GX6RIRSbk1OyvdHby0tRhDA0+rzEhoHr32VicbiZHpwr3+G5czewoV3jIXrIps4yrAeFZe2dD986/OaNcGp4tci8JKudQxqtYrjlbmOxi/EFRUB10YOUGBdDIqM8D3Y376HUJD1REomk7khhc7ukZ9muv5jik2pD384aR8n6qBaRI3OLPBl/C3D8Q/Ta6DpFwE53jp25QDHl8DJf5erfMp8kckzMb2pn4u7yyh9N44yg+Ws0ruFeNoyr7TTcdILvm7/CUFy4h8m+21lCnpqiwDDyoMpZ5uBYHEDHIYaQZi8zKbj/gwznKCo9QhvJQ3EGgUAzt9f1sNjnJENftztaYyt4IvQCzl/lv8s5Hm+4D7CLe0W18v7ZiRCmRCLZElLY3A7JCTb8KqQBm4P9MBJjbPgl3dJ7H5uLImE3qJZ5fzj9FFHJcZHQbKGQ8Tax+dz8VXo3apk+D4y9QvGj2oCRl5mke+h9ZhKnagHa7mV1UbVED9B2Jygry7aXW+TfdlGubnMBDg89Oy0nN99s0B0Gmu/lEMrsAs+ZO8iS4s32rNkOVJUeQLuHXhmLg8nFqmomo2cXKLzcMsdGItkrSGFzO8xcEH0+RIVItcIv9cTY+nH8g4Cm0biWsvxi90bvzOqQjVIt0dti9KzJpyhKtCoNuGoR5ekTSz9XLgBzl8xzDNCzNPk2QyEtJ5d6mqz2tQdm3i6BdnYNzswxX6acZ+JybVl+tbJ1EaJpgCdMAbFwg+fHG1kpqHYTh5flze0P8v+FJPstxYYAiHlZ7ZvstySRSHYUKWy2SrXC3iHOoPmaxQpA357S1L1MtQyM/ISJk9US8xAiR9mBdDt7wBwkbG42qFscpLG0Odgzxu4zhUk5vzInppI3q4QAfmb2ErBwlZVNsSHmtOyGkA608xpPnaMAc/iFqFcYpimmmbBcO35gM0yeBYZ/xAeGSom/W4kxVmapVpbk1wvDA2tzAsc+KMJyFSZLL0/GlkgkdUUKm61iEe3wYyNmzoERZ18+GfmgsXADmLnIPBW7h1Uh0+cZTokerffq9g5VcT9YrPRmtd7PJ/7FQXq6FIvZKC4+SoHYuEyg2L3s8puLAX4XOzMnx2hQI/1MbB17lcb1VuMn1ptovREUhSXg4V6KGJubCcJTb7N7sN0NdN+/tfBeLgbMnqeIs/uAxhaWZJeyzBlauF5fYVOL3bOz5fsSieS2kMLmdmi6m8nDiwOcUlzKMGnzdqdR73USo2JWjkiStnvpqUmM776w0XVW0JSE98PTWP+QWLlA4bd4A4BOQ998kh6box9kz5lqiaGXzCxHDwTamQC83HhbbBREwy8yMXfuCgVQuNcUMosDIjy0hrDJxejlSU4w3BU5urnOuZUi9xsbEh16G7kGY77UsQ/Re2Rzbz23rJCkiFHtZmM/u5fiBvqdN3ByLcoFkfCu8dwf9IcoiWQLSGFzOwQ7gCPP0rAUU+wo23h4+2b/7FUMo1bLaj1Tdppqma3656/xSd/mprDqeLh+nVF1HRh7jd1rjWqgsdfo4eh7imGn5eKvWqExX0toNPTRyM9fY4m1p0EMcjQa4Slr56EUM8C173LgpdNPkZOcYIL7RsqTdZ0jEmbOcw25BWDmm6wSCvdwDdETHBx5O8nKNjfvK7uoMKqWKagUK/8ObGM36P1KehYYfoliWNd5f3U9IsvMJZJlSGFzuxjNvO4kwj0MDWRmWU6cT9Cohbt3dx2LA8DUO5w/FGinuBx/nZ6QSD+N727PssnHKSL8rWbujN1Db0fLPas3ANyICPM18Y+iAJNv0UNlsfPp3RPh/lZj4k1g8AdscpeZYwWWM0APzka8NtkFnmd/K2B1M+fF4uC0A18zAIXenMZDt9czxxNhGfXMOxQ5i0P0agU7WNoe6d/6tg8CWhUYf42/c6EuCtnUFEWzr1m2mJBIapDCRrJ5Qj0sg505zzCQ3cuqkeAu50AkxpijYrjjixlg9gpLc5vu4nq6H99dd32lyD+eGgFjdTIZtlLY+HbyCdHgThfDIkUeV9spejTiw0AxSaPW8RDLwDNz9JoZIalKiTOZSlkRHtXZuK+c5fp0beVsreWUcyLM5OHfpQw9RqUshYcxlqGQvD1hY5RWexqEZypJsRM9vnTMw51KPkFR428xx2b4WykAM3NmE0WJRCKFjWQLGEmkDYdFubenPoZHtYhQDChq5q7Q2Pr6aBTnrzKhtefdW9t+LkbDUUgwOTfcd2uR5ArRK5KdM70o2Xm+VjtSYD1iw6w6y8f5f6cf6HqMYU67G+h7EsjfR4HjDLInzqVvsSGe1c51djzEsFElz/foVTGXKcTk5U7PxqaLOwNmrovTT29Ndt6c35SN0eiWcltLTtZ1nl9d5zpb7+MfyVIUhSJU08zXjBlc2zklXiI5AEhhI9k6Nmd9n6RDPZxjlJ1nk8TMnGh338w8J0+E1Ubt+c3nPWXmgYEXRGt/J0chxIaBw+9b3+1vc9J7NfIy16aAwqDz9MY8R5UivSyVvFk2nZ7ma/5Wc99Gd+JcjHkX1SL7yVQKrFKyufl+V0hMqJ4xt+/wMryzEVxBJj5PnhFCS+HabE6GxGJDLPueeIPenK5HN97HppDkcSXGKVADrcyPup0J7wcVV4het9lLvK6KBUhPMa/P21zv1UkkewopbCT7l1APDenMBXonFAWIHGfoZglbqJKav8L8kobD3K5WoRGPDXPQ5no0HqYhSk2BoaRm5scUUkyKdQYoDlJGdUvUNOa5GP8E2kzvh7cZiA/x9eWiKj1Nj4dRJm4Vs40WrrPKKtBOb4i7gQnMhQTQfM/mclZa72O1WWoKaFMAvcJw0dhrDBVFj9MjNHOe72u+e+nnNY15Rws3KLxCPey7M/oqxZ+/lce6MMjz0//B+iV/71UURXSkVljur2k8j50P71xDRolknyK/PSS3plxguKOc5xO8v21vuL9VFWi9l0Y9NQUM/RiALrr5ikGK7Q9szauUnqX3xxAXqpV5LLnYxj7vaTS70VaKoqHhDeaj6KCBVxSKDocP6HyE1VIWO/NkqkWzysxogrha1ZlRFVWLIlr+q2Io6NhPKaJcQY5c6Hpsc9dPVZmwWluKruu8LxpqetbYPQzdLRc2sxeB0Z/Qy6BamRu1cIOhs0C7OfMq1MlS+Now3n6kXKCAtNg3PidrIzh8wKGn6OnSNYbudjs5XiLZB0hhI1mdapliIRejYconAEVn+W30OA3mXnmqtrtZlaMowPgZijCLjR6LreZreBqB2TnAiB7pGkWJawtDJafOMWzjiQKqj1VKlSLQ/yyNVXqGoRx/Kz03oS6GHDwRVnrNXeV+F4cZ5qntV+NtoqDIzAKuBoq5xQFWYBneoP4Pcq6TotBzsxFRU0wzb8bhXT30plhAhVaDrq28JypF3j82t+lJqxToqdE1UVlVs029Wp9J3tvF4iDvwXxc5Dv1UrRuV8hWUVYOSZVIJEvYI5ZJsqfIJ9gQLjHO8Etmlsmo4UMMocxeYhnuXuuf0dBHb1I+JhJlG7b+tBw5Ss/C4gCNcjFD4RHaQPVJpcTQS2IMgArMXwKcYRqkQoqeH7XCp3qHj+IjNsRwmtPP8JrNRUE0e4kJu95mip/UBHDk/ea0a2+U4YjxM/RYZee4zeQ4cP27QO8T3K9veXhuDTSNOTqzF01h03w3hVLtuQx2ALMXKMpcYaCUphgOi3uiWqGYKqSYe+OqGRJpdfKYLBaK52AnAIWTvN0RCrr9SHaR09u1CkOJlQIwLcrXOx+q9+okkjsGKWwkK5l6m0m3wS6GBhx+5pZ4IuJpURP5J3tM2AAioXkbwhj+FgqIhRs00E13A5HDpqBYC00DRl9h52GrHSjlKQCiR1lZpVoAqxUoVc0KF60iwjQi1GT30CNmlFQbib66BiwMUAS13mvus+kEnSfJCeau+NsBaAwLzV7ktjZKbJD9UpwBGudCgqEsZ2BpSXGgHeh+FzD9NvN8bC6g/SHmF2XmOeYhNU3vS3Ic8GbNxoTFDD070WO8z+IjAHQKpK5t9G7sNukphomMuV0WGz1wiwNA2/1yjppEskvsC2EzMjKC//yf/zN++MMfYmZmBq2trfiX//Jf4j/8h/8Au10mzm0r5QINpKeRhtnmBCoO5nwUEjRwmrb1Cc77CV/z0lDJRsjMsMzc32rmjmRnOA4h2MvXVHE+dZ2GMDPLXi3L91VMLw07KSqvSSG5cr/VAq/NzXEeKo1qfJShkI3m1MSGKLLcwsPiiVCIxEcpbHSdQsbomdP7FPM8bG56d6oV5hOlJimMAHqR4sP0+FhszF9SVJ4n1UJvUvM9fP9+bjS3arm7nHgvkew2+0LYXL16FZqm4ctf/jIOHTqEixcv4td//deRzWbxhS98od7LO1ioFhodY2RCoJ3emUKKycPxYRrMgz4Pa6sUMzx3hqgB6FEp5YHEMEMwDb30VigKhWT0BNB+auUTvbeJoRqv6DisVZmzslo5tEUM06w1rlUxIXutcQuroWurv9/Y9sRbwNRbXIdRbdX3hNlROTvP8FSwg2sqpun90ioMU+kaS/PdYQqaUg5ITrH6bD+LGkB0APby+L1RnqPcItB+WnprJJJdZF8Im2effRbPPvvszf/39vbi2rVr+PM//3MpbLYbiw1o7AfGXuGTuzNAI6Ra+FQe7GQYRPYaWR2Hl5U/5RzPF0AvRsdpek4gxIArSKGoa2sb9Ogxes8WbzAvpZynZ2e16dmBdm43PsLuveU8/3Q+srk8o1A3w13FFEOQ+QQFTLCTAnf6HHN4gp18PT7CsQ2+FuEV0vlH17mdxDBQzFLwRY/T65MYofABAJeduSgLN1bm8ew3vFGG0ibeZBjQaucxt95T75VJJHcU+0LYrEYymUQ4vL5xLRaLKBaLN/+fSqV2elkHg5aTrABauA7k8xQyrffzi9vq3N/GZ6fxNlMYzl7kudIq9IB0Pry0NBq4ddNATyPzfIzux55GNu1bTQi5QuxIPHWWAsTqAnruZxL0Zmg4xM/PXwPSc/Q8td1PQbI4wORxI8SkKLwncosibBZk6MrbxKTn1BSP0WJlKXd6BqhWASzzCN0c5nkAiB7jwM58jN65eswrk0jucPalsBkYGMCXvvSlW3prPv/5z+MP/uAPdmlVBwirnU+eLSfpTncG9kbfmv2AMfPI1wwkRmncwj30hGwFd3jj3rFAGz0n5RzDQFtp3Gaxcf3RY6xmcvjN/VvsAFRWPxmhlXJe7MtR8/nHREPBRZFwHqbnoloSwzttFE/uBgqlfALoumttwaxVKZLKeSZve6J7Wyw4vLs7n0wikSxB0XVdv/XbdobPfOYz+OM//uN133PlyhUcPWo+dU5OTuI973kPnnjiCXzlK19Z97OreWw6OjqQTCbh99+iukUikSylUgKu/yMQG6H3qFpiiKnzYaDjwaXvnXgTuPYPDJs5AwzPpacBm5cNFafP0ctj9Hrpfnx1D1Y5Dwy9xGotY95V9DhDbHulj5JEItlxUqkUAoHAhux3XYXN/Pw8FhcX131Pb2/vzcqnqakpPPHEE3j44Yfx1a9+Feomn9o2c2IkEskqFJLszRIfo8iIHGFy9PLk2Mw8cPXvGIrzNDJJOBcDet/NXJp8guE1q2v9cM3U28DQi2xaaHVSSGXm2NxwL7YbkEgkO8Jm7HddH3kikQgikY0145qcnMSTTz6JU6dO4fnnn9+0qJFIJNuAM8Bp6R0lhifXClF6I3zfxFsUIlYnE6ijx/lzV3BjHXRjI0xWtoreNg4vy8fT01LYSCSSVdkXvtzJyUk88cQT6Orqwhe+8AXMz8/f/Flzs5xsK5HsOhvJ32noYyJtMUVhspW8E6t95YgFTWNoSyKRSFZhX3w7vPDCCxgYGMDAwADa29uX/KyOkTSJRHIrrHbA2rj1zzceYUl5Zpaem1ycVWHBrlt+VCKR3Jnsi3jOr/zKr0DX9VX/SCSSA0y4j6MbLHaKGpcIhflb6r0yiUSyR9kXHhuJRHKHoqpsO9B4hKXhdq/s4iuRSNZFChuJRLL3sTn373BMiUSyq+yLUJREIpFIJBLJRpAeG4lEsn1oGmdBJcY5SiLQzkRf2Z5BIpHsElLYSHaPXAxYHATycfY5aTjEShdJfcnFgPgoRzF4Gjn+wRiRsFkmzwKTZzgEU9c5M6vjYaDtvm1dskQikayFFDaS3SG7ANz4PjvS2lzA3GUgNgwcfp8UN/UkPQsM/hOQWeCIAk0DIv1A7xNr96rRdSA+DMxdBYpJ9qqJHqeHZvbC0vlS2QVg5jzQKEWsRCLZHaSwkewO81dp5BoPc9ihVuW06NgQW+xL6sPMBSAbM69Lpcip7g19a3f2jQ0BA/9EgWNzAZNvcXJ3090cchmu+ZwrCCTGOBdKChuJRLILSGEj2R0yczRsxgRn1cJutLlYfdd1J1OtsPGdO2xeF6sD0DXOcVoNXQdmLwFQgFAnX3M3UqT62wCbmyLGKWa5FDN8zebe6aORSCQSALIqSrJbuBto5Ax0jd6BjcwLkuwMqoVis1RzXTSNf68lRLQqhYu95ueqSmFktQORoxSxyXEmEOcWgegxeZ0lEsmuIT02kt0hcpQhiYUBGsVSBvC3Lg1bSHYXReFk7swMxxbYXEA+KSqZOlf/jMUKeJuA+SuAS3h6KgUACuAMAs2d9ADFhvhauJdhLolEItklpLCR7A6+JuDI+5m/kY8DnruByGEzZCGpD6EeoPvdTOQuZYCGI0DTMc5jWouWk0B2ntdStTI8FT1KMWSx0UMTPbZ7xyCRSCQ1SGEj2T28Uf6RrE0xA8xdoQfF7gYa+5nEa+TAbBe6DizcYDl2Mc0y765H6K25Fd4o0P8BIDEKlESJeLBLjjqQSCR7AilsJJK9QqUEDP2YibjOAJCPMXynlbffAxIfBoZ+BCgWemfio8yH6f8ZCpVb4QrKvBmJRLInkcnDEsleITVBT024F/A1M7RjdQDTF4BqeXv3NX+NXptAGwVKuIfTs2Mj27sfiUQi2WWksJFI9grlPKvFakM6di9QzrKCbDspZVd2F7bYgGphe/cjkUgku4wUNhLJXsEZYDJuKWe+louxymi7+8AEOoFCEtAq/H+lwFJuj8yBkkgk+xuZYyOR7BV8LcylmbssZi1pHE/Qcu/2D5GMHgUy02boSVG471D39u5HIpFIdhkpbCSSvYJqAbof5+ylzCxgcQChLg4M3W6cfuDw+9lIr5yjgAp0sE+NRCKR7GPkt5hEspew2DgwsvHQzu/L5pTN8yQSyYFD5thIJBKJRCI5MEiPjUQiWR1NY0islGGvG2/z9uf6SCQSyTYjhY1EIllJtQyM/IT9brQyoNqASD/Q9RiHXUokEskeRQobieQgoessES9lOLnbHd7adhYHgJmLHFRqd7MEfeYiB2A2Hd/eNUskEsk2IoWNRHJQqFaA8deB+asUInYPS7g7TrPiajMkxuiZsYv+OXY3G/olx6WwkUgkexoZMJdIDgqxQWDqLLsVNx6iGJk6C8SGNr8ti4MN+2rRKgxJSSQSyR5GChuJ5KAQHwEsdvaoAdjJWLFwCvdmCXcDigqkZzjqIT1Dr0+4ZztXLJFIJNuOFDYSyUFBUZljU4uuYUu/5sEuoPc9gNXFnB2rE+h+l+xMLJFI9jwyx0YiOSiEeoCF60BuEXAEgEJCvN61+W0ZIxbCvRyYafesHJopkUgkexDpsZFIDgrhXqDjYebGJCcA6EDnIxQ8W8XqYGWVFDUSiWSfID02EslBQVWB9lNA5IjwsngBh7feq5JIJJJdRQobieSg4fDxj0QikdyByFCURCKRSCSSA4MUNhKJRCKRSA4MMhQlkdyJ6DqQmQOKKcDmBnzNm+9OLJFIJHsQKWwkkjsNrQqMvQbMXQLKRUC1slNx97sAm7Peq5NIJJLbQoai9iOlHFBIAppW75VI9iPxEWD6HOAMUtD4moHZS8D8lTovTCKRSG4f6bHZT1RKnP2zcAOolgFvBGh7APC31Htlkv1Eaop/G5VTNif/HRsBWu+r27IkEolkO5Aem/3E9HlOb1ZUwOkD4mPA0ItAMVPvlUn2ExbbSm+fVuU0b4lEItnnSGGzX6gUgYVrgCvMTrB2LwcVZueA1GS9VyfZTwQ7AZuL9005zyRirQw0HK73yiQSieS2kcJmv6BVaXzUmuihIi6fVqnPmiT7E38r0PNuwO7nXCnVCnQ9BjQcqvfKJBKJ5LbZN8Lmwx/+MDo7O+F0OtHS0oJf+qVfwtTUVL2XtXvY3YC/HcjOm0Imu8BSXU+kvmuT7D8iR4ATHwXu+r/4p/VejmSQSCSSfc6++SZ78skn8Y1vfAPXrl3DX//1X2NwcBC/8Au/UO9l7S5t9wP+NiA+CiwOMIG4/ZQUNvuFYprDKbOL7CNTb6x2hjVlibdEIjlAKLq+F75hN893vvMdfPSjH0WxWITNZlv1PcViEcVi8eb/U6kUOjo6kEwm4ff7d2up20u5AKSnKGrcDYCnsd4rktwKXQdmzgNT5yhubC6g8TAnccuEXYlEIrklqVQKgUBgQ/Z733hsaonFYvjLv/xLPProo2uKGgD4/Oc/j0AgcPNPR0fHLq5yh7A5gXAvEOmXoma/kJxgQzxFBcI9nLg9dQ6Yv1rvlUkkEsmBY18Jm9/93d+Fx+NBQ0MDxsbG8O1vf3vd93/2s59FMpm8+Wd8fHyXViqR1JCaAqolClFFBRx+wO5hOFEikUgk20pdhc1nPvMZKIqy7p+rV82n2t/5nd/B22+/je9///uwWCz45V/+ZawXSXM4HPD7/Uv+SCQSiUQiObjUNcdmfn4ei4uL676nt7cXdvvKPISJiQl0dHTg1VdfxSOPPLKh/W0mRieRbBuJceDaPwBWJ/OiSlkgMwv0PQk0313v1UkkEsmeZzP2u64jFSKRCCKRrVX0aKJzam1ysESyo+g6kI+LxO0wO/huhEA70PkI5zMlRgGri6MLIkd3dLkSiURyJ7IvZkW9/vrrOHPmDB5//HGEQiEMDg7i937v99DX17dhb41EclsUM8DYT1lqr1VYYt/5EEXLrVAUoOUkk74LSVZFucM7v2aJRCK5A9kXycNutxt/8zd/g6eeegr9/f34+Mc/jpMnT+LFF1+Ew+Go9/IkdwITZzgB2xXgNOzsHDD88ubmdDm8QKBNihqJRCLZQfaFx+buu+/GD3/4w3ovQ7LX0KrMVakUAVcQcIV2Zj/FDD013ibO6AI4byk2BKRnAIccRSCRSCR7hX0hbCSSFZSy9JjEhxkasnuZt9JyD0M/24muAdCWjRww9rEv+1tKJBLJgWVfhKIkkhXMXGCDO28zEO7jIMeJN4D09Pbvy+EDAh1AehaolABNY28aZxDwRrd/fxKJRCLZMlLYSPYfWpVhIGPOkaKw+V25wNDUdqMoQPsDQKgLSE3SS2RzAV2PAs7A9u9PIpFIJFtGhqIk+xAFUCyAtqzUX9fZ2XcncIWA/g8yabhappCye3ZmXxKJRCLZMlLYSPYfqgpEjgDDL7Hpnc0FZBcAp5/Tz3cKixXwt+7c9iUSiURy20hhI9mfRE8ApTywcA0oppjv0v6AHAwqkUgkdzhS2Ej2J1Y70P0o0HwXy72dfsAqexpJJBLJnY4UNpL9jVPO/JJIJBKJiayKkkgkEolEcmCQwkYikUgkEsmBQQobiUQikUgkBwYpbCQSiUQikRwYpLCRSCQSiURyYJDCRiKRSCQSyYFBChuJRCKRSCQHBilsJBKJRCKRHBiksJFIJBKJRHJgkMJGIpFIJBLJgUEKG4lEIpFIJAeGO2pWlK7rAIBUKlXnlUgkEolEItkoht027Ph63FHCJp1OAwA6OjrqvBKJRCKRSCSbJZ1OIxAIrPseRd+I/DkgaJqGqakp+Hw+KIpS7+VsmlQqhY6ODoyPj8Pvv7OmWt/Jxw7c2ccvj/3OPHbgzj7+O/nYgZXHr+s60uk0WltboarrZ9HcUR4bVVXR3t5e72XcNn6//4680YE7+9iBO/v45bHfmccO3NnHfycfO7D0+G/lqTGQycMSiUQikUgODFLYSCQSiUQiOTBIYbOPcDgc+NznPgeHw1Hvpew6d/KxA3f28ctjvzOPHbizj/9OPnbg9o7/jkoelkgkEolEcrCRHhuJRCKRSCQHBilsJBKJRCKRHBiksJFIJBKJRHJgkMJGIpFIJBLJgUEKm33Khz/8YXR2dsLpdKKlpQW/9Eu/hKmpqXova8cZGRnBxz/+cfT09MDlcqGvrw+f+9znUCqV6r20XeMP//AP8eijj8LtdiMYDNZ7OTvOn/3Zn6G7uxtOpxMPPfQQ3njjjXovaVd46aWX8KEPfQitra1QFAXf+ta36r2kXePzn/88HnzwQfh8PkSjUXz0ox/FtWvX6r2sXeHP//zPcfLkyZuN6R555BH84z/+Y72XVRf+6I/+CIqi4FOf+tSmPieFzT7lySefxDe+8Q1cu3YNf/3Xf43BwUH8wi/8Qr2XteNcvXoVmqbhy1/+Mi5duoQvfvGL+O///b/j3//7f1/vpe0apVIJH/vYx/Cbv/mb9V7KjvNXf/VX+PSnP43Pfe5zOHv2LO655x68//3vx9zcXL2XtuNks1ncc889+LM/+7N6L2XXefHFF/GJT3wCr732Gl544QWUy2U888wzyGaz9V7ajtPe3o4/+qM/wltvvYU333wT733ve/GRj3wEly5dqvfSdpUzZ87gy1/+Mk6ePLn5D+uSA8G3v/1tXVEUvVQq1Xspu85/+S//Re/p6an3Mnad559/Xg8EAvVexo5y+vRp/ROf+MTN/1erVb21tVX//Oc/X8dV7T4A9G9+85v1XkbdmJub0wHoL774Yr2XUhdCoZD+la98pd7L2DXS6bR++PBh/YUXXtDf85736L/1W7+1qc9Lj80BIBaL4S//8i/x6KOPwmaz1Xs5u04ymUQ4HK73MiTbTKlUwltvvYWnn3765muqquLpp5/GT3/60zquTLLbJJNJALjjfs+r1Sq+/vWvI5vN4pFHHqn3cnaNT3ziE/jgBz+45Hd/M0hhs4/53d/9XXg8HjQ0NGBsbAzf/va3672kXWdgYABf+tKX8K//9b+u91Ik28zCwgKq1SqampqWvN7U1ISZmZk6rUqy22iahk996lN47LHHcNddd9V7ObvChQsX4PV64XA48Bu/8Rv45je/iePHj9d7WbvC17/+dZw9exaf//znt7wNKWz2EJ/5zGegKMq6f65evXrz/b/zO7+Dt99+G9///vdhsVjwy7/8y9D3aSPpzR47AExOTuLZZ5/Fxz72Mfz6r/96nVa+PWzl+CWSO4FPfOITuHjxIr7+9a/Xeym7Rn9/P86dO4fXX38dv/mbv4nnnnsOly9frveydpzx8XH81m/9Fv7yL/8STqdzy9uRIxX2EPPz81hcXFz3Pb29vbDb7Sten5iYQEdHB1599dV96bLc7LFPTU3hiSeewMMPP4yvfvWrUNX9rdG3cu2/+tWv4lOf+hQSicQOr64+lEoluN1u/J//83/w0Y9+9Obrzz33HBKJxB3loVQUBd/85jeXnIc7gU9+8pP49re/jZdeegk9PT31Xk7dePrpp9HX14cvf/nL9V7KjvKtb30LP/dzPweLxXLztWq1CkVRoKoqisXikp+thXUnFynZHJFIBJFIZEuf1TQNAFAsFrdzSbvGZo59cnISTz75JE6dOoXnn39+34sa4Pau/UHFbrfj1KlT+MEPfnDToGuahh/84Af45Cc/Wd/FSXYUXdfxb/7Nv8E3v/lN/PjHP76jRQ3A+36/frdvhqeeegoXLlxY8tqv/uqv4ujRo/jd3/3dDYkaQAqbfcnrr7+OM2fO4PHHH0coFMLg4CB+7/d+D319ffvSW7MZJicn8cQTT6Crqwtf+MIXMD8/f/Nnzc3NdVzZ7jE2NoZYLIaxsTFUq1WcO3cOAHDo0CF4vd76Lm6b+fSnP43nnnsODzzwAE6fPo0//dM/RTabxa/+6q/We2k7TiaTwcDAwM3/Dw8P49y5cwiHw+js7KzjynaeT3ziE/ja176Gb3/72/D5fDdzqgKBAFwuV51Xt7N89rOfxQc+8AF0dnYinU7ja1/7Gn784x/je9/7Xr2XtuP4fL4VeVRGHumm8qu2v1BLstOcP39ef/LJJ/VwOKw7HA69u7tb/43f+A19YmKi3kvbcZ5//nkdwKp/7hSee+65VY//Rz/6Ub2XtiN86Utf0js7O3W73a6fPn1af+211+q9pF3hRz/60arX+bnnnqv30nactX7Hn3/++Xovbcf5tV/7Nb2rq0u32+16JBLRn3rqKf373/9+vZdVN7ZS7i1zbCQSiUQikRwY9n9ygkQikUgkEolAChuJRCKRSCQHBilsJBKJRCKRHBiksJFIJBKJRHJgkMJGIpFIJBLJgUEKG4lEIpFIJAcGKWwkEolEIpEcGKSwkUgkEolEcmCQwkYikUgkEsmBQQobiUQikUgkBwYpbCQSiUQikRwYpLCRSCT7mnQ6jX/xL/4FPB4PWlpa8MUvfhFPPPEEPvWpT9V7aRKJpA5IYSORSPY1n/70p/HKK6/gO9/5Dl544QW8/PLLOHv2bL2XJZFI6oS13guQSCSSrZJOp/EXf/EX+NrXvoannnoKAPD888+jtbW1ziuTSCT1QnpsJBLJvmVoaAjlchmnT5+++VogEEB/f38dVyWRSOqJFDYSiUQikUgODFLYSCSSfUtvby9sNhvOnDlz87VkMonr16/XcVUSiaSeyBwbiUSyb/H5fHjuuefwO7/zOwiHw4hGo/jc5z4HVVWhKEq9lyeRSOqA9NhIJJJ9zX/7b/8NjzzyCH72Z38WTz/9NB577DEcO3YMTqez3kuTSCR1QNF1Xa/3IiQSiWS7yGazaGtrw5/8yZ/g4x//eL2XI5FIdhkZipJIJPuat99+G1evXsXp06eRTCbxn/7TfwIAfOQjH6nzyiQSST2QwkYikex7vvCFL+DatWuw2+04deoUXn75ZTQ2NtZ7WRKJpA7IUJREIpFIJJIDg0welkgkEolEcmCQwkYikUgkEsmBQQobiUQikUgkBwYpbCQSiUQikRwYpLCRSCQSiURyYJDCRiKRSCQSyYFBChuJRCKRSCQHBilsJBKJRCKRHBj+/3KjO5sd6j77AAAAAElFTkSuQmCC", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "scatter(df, 'combo', 'C2')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If there were no correlation, how many people would be 1 standard deviation above the mean on both?" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.15865525393145707, 0.025171489600055125)" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from scipy.stats import norm\n", + "\n", + "one = norm(0, 1).sf(thresh)\n", + "both = one**2\n", + "one, both" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.07864960352514258" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "combo = norm(0, np.sqrt(2)).sf(2)\n", + "combo" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.0246, 0.0802)" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# double-checking the analytic result with simulation\n", + "x = np.random.normal(0, 1, size=10000)\n", + "y = np.random.normal(0, 1, size=10000)\n", + "both = (x>1) & (y>1)\n", + "combo = (x + y) > 2\n", + "both.mean(), combo.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.0486, 0.1088)" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df['both'].mean(), df['combo'].mean()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Selection\n", + "\n", + "A weak correlation can be wiped out by a weak selection process, and reversed by a strong one." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "# generate a bigger dataset so we can simulate strong selection\n", + "\n", + "g = np.random.normal(0, 1, size=100000)\n", + "gfp = generate_correlated(g, rho)\n", + "df_big = pd.DataFrame(dict(g=g, gfp=gfp))" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "res = []\n", + "\n", + "for thresh in np.linspace(-4, 3):\n", + " selected = (g + gfp) > thresh\n", + " frac = selected.mean()\n", + " corr = df_big.loc[selected, ['g', 'gfp']].corr()\n", + " res.append((thresh, frac, corr.iloc[0, 1]))\n", + "\n", + "ts, fs, cs = np.transpose(res)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.02977486, -0.19729721, -0.47793225])" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from scipy.interpolate import interp1d\n", + "\n", + "f_example = np.array([0.7, 0.4, 0.1])\n", + "c_example = interp1d(fs, cs)(f_example)\n", + "c_example" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Correlation')" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(1-fs, cs)\n", + "plt.plot(1-f_example, c_example, 'o')\n", + "\n", + "for f in f_example:\n", + " plt.axvline(1-f, color='gray', lw=0.5, alpha=0.5)\n", + "plt.xlabel('Fraction excluded')\n", + "plt.ylabel('Correlation')" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Fraction exceeding threshold')" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(ts, fs)\n", + "plt.xlabel('Threshold on total score')\n", + "plt.ylabel('Fraction exceeding threshold')" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Correlation of scores')" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(ts, cs)\n", + "plt.xlabel('Threshold on total score')\n", + "plt.ylabel('Correlation of scores')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The correlation is 0 when the we admit about 66%" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(0.6628058)" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from scipy.interpolate import interp1d\n", + "\n", + "interp1d(cs, fs)(0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "At 40% selected, correlation is -0.2" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(-0.19729721)" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "interp1d(fs, cs)(0.4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "At 10% selected, correlation is -0.48" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(-0.47793225)" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "interp1d(fs, cs)(0.1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Missing variable bias" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "outcome = xs + ys + np.random.normal(0, 2, size=len(xs))" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.DataFrame(dict(xs=xs, ys=ys, outcome=outcome))" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
OLS Regression Results
Dep. Variable: outcome R-squared: 0.409
Model: OLS Adj. R-squared: 0.409
Method: Least Squares F-statistic: 3461.
Date: Tue, 03 Oct 2023 Prob (F-statistic): 0.00
Time: 11:48:09 Log-Likelihood: -21017.
No. Observations: 10000 AIC: 4.204e+04
Df Residuals: 9997 BIC: 4.206e+04
Df Model: 2
Covariance Type: nonrobust
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coef std err t P>|t| [0.025 0.975]
Intercept -0.0032 0.020 -0.162 0.871 -0.042 0.036
xs 0.9780 0.021 46.149 0.000 0.936 1.020
ys 1.0178 0.021 48.036 0.000 0.976 1.059
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Omnibus: 4.727 Durbin-Watson: 2.009
Prob(Omnibus): 0.094 Jarque-Bera (JB): 4.724
Skew: -0.044 Prob(JB): 0.0942
Kurtosis: 2.941 Cond. No. 1.46


Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." + ], + "text/latex": [ + "\\begin{center}\n", + "\\begin{tabular}{lclc}\n", + "\\toprule\n", + "\\textbf{Dep. Variable:} & outcome & \\textbf{ R-squared: } & 0.409 \\\\\n", + "\\textbf{Model:} & OLS & \\textbf{ Adj. R-squared: } & 0.409 \\\\\n", + "\\textbf{Method:} & Least Squares & \\textbf{ F-statistic: } & 3461. \\\\\n", + "\\textbf{Date:} & Tue, 03 Oct 2023 & \\textbf{ Prob (F-statistic):} & 0.00 \\\\\n", + "\\textbf{Time:} & 11:48:09 & \\textbf{ Log-Likelihood: } & -21017. \\\\\n", + "\\textbf{No. Observations:} & 10000 & \\textbf{ AIC: } & 4.204e+04 \\\\\n", + "\\textbf{Df Residuals:} & 9997 & \\textbf{ BIC: } & 4.206e+04 \\\\\n", + "\\textbf{Df Model:} & 2 & \\textbf{ } & \\\\\n", + "\\textbf{Covariance Type:} & nonrobust & \\textbf{ } & \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\begin{tabular}{lcccccc}\n", + " & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", + "\\midrule\n", + "\\textbf{Intercept} & -0.0032 & 0.020 & -0.162 & 0.871 & -0.042 & 0.036 \\\\\n", + "\\textbf{xs} & 0.9780 & 0.021 & 46.149 & 0.000 & 0.936 & 1.020 \\\\\n", + "\\textbf{ys} & 1.0178 & 0.021 & 48.036 & 0.000 & 0.976 & 1.059 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\begin{tabular}{lclc}\n", + "\\textbf{Omnibus:} & 4.727 & \\textbf{ Durbin-Watson: } & 2.009 \\\\\n", + "\\textbf{Prob(Omnibus):} & 0.094 & \\textbf{ Jarque-Bera (JB): } & 4.724 \\\\\n", + "\\textbf{Skew:} & -0.044 & \\textbf{ Prob(JB): } & 0.0942 \\\\\n", + "\\textbf{Kurtosis:} & 2.941 & \\textbf{ Cond. No. } & 1.46 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "%\\caption{OLS Regression Results}\n", + "\\end{center}\n", + "\n", + "Notes: \\newline\n", + " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified." + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: outcome R-squared: 0.409\n", + "Model: OLS Adj. R-squared: 0.409\n", + "Method: Least Squares F-statistic: 3461.\n", + "Date: Tue, 03 Oct 2023 Prob (F-statistic): 0.00\n", + "Time: 11:48:09 Log-Likelihood: -21017.\n", + "No. Observations: 10000 AIC: 4.204e+04\n", + "Df Residuals: 9997 BIC: 4.206e+04\n", + "Df Model: 2 \n", + "Covariance Type: nonrobust \n", + "==============================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "Intercept -0.0032 0.020 -0.162 0.871 -0.042 0.036\n", + "xs 0.9780 0.021 46.149 0.000 0.936 1.020\n", + "ys 1.0178 0.021 48.036 0.000 0.976 1.059\n", + "==============================================================================\n", + "Omnibus: 4.727 Durbin-Watson: 2.009\n", + "Prob(Omnibus): 0.094 Jarque-Bera (JB): 4.724\n", + "Skew: -0.044 Prob(JB): 0.0942\n", + "Kurtosis: 2.941 Cond. No. 1.46\n", + "==============================================================================\n", + "\n", + "Notes:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", + "\"\"\"" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import statsmodels.formula.api as smf\n", + "\n", + "results = smf.ols('outcome ~ xs + ys', data=df).fit()\n", + "results.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
OLS Regression Results
Dep. Variable: outcome R-squared: 0.273
Model: OLS Adj. R-squared: 0.273
Method: Least Squares F-statistic: 3749.
Date: Tue, 03 Oct 2023 Prob (F-statistic): 0.00
Time: 11:48:09 Log-Likelihood: -22055.
No. Observations: 10000 AIC: 4.411e+04
Df Residuals: 9998 BIC: 4.413e+04
Df Model: 1
Covariance Type: nonrobust
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coef std err t P>|t| [0.025 0.975]
Intercept -0.0084 0.022 -0.381 0.703 -0.051 0.035
xs 1.3436 0.022 61.231 0.000 1.301 1.387
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Omnibus: 5.287 Durbin-Watson: 1.975
Prob(Omnibus): 0.071 Jarque-Bera (JB): 5.302
Skew: -0.050 Prob(JB): 0.0706
Kurtosis: 2.948 Cond. No. 1.01


Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." + ], + "text/latex": [ + "\\begin{center}\n", + "\\begin{tabular}{lclc}\n", + "\\toprule\n", + "\\textbf{Dep. Variable:} & outcome & \\textbf{ R-squared: } & 0.273 \\\\\n", + "\\textbf{Model:} & OLS & \\textbf{ Adj. R-squared: } & 0.273 \\\\\n", + "\\textbf{Method:} & Least Squares & \\textbf{ F-statistic: } & 3749. \\\\\n", + "\\textbf{Date:} & Tue, 03 Oct 2023 & \\textbf{ Prob (F-statistic):} & 0.00 \\\\\n", + "\\textbf{Time:} & 11:48:09 & \\textbf{ Log-Likelihood: } & -22055. \\\\\n", + "\\textbf{No. Observations:} & 10000 & \\textbf{ AIC: } & 4.411e+04 \\\\\n", + "\\textbf{Df Residuals:} & 9998 & \\textbf{ BIC: } & 4.413e+04 \\\\\n", + "\\textbf{Df Model:} & 1 & \\textbf{ } & \\\\\n", + "\\textbf{Covariance Type:} & nonrobust & \\textbf{ } & \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\begin{tabular}{lcccccc}\n", + " & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", + "\\midrule\n", + "\\textbf{Intercept} & -0.0084 & 0.022 & -0.381 & 0.703 & -0.051 & 0.035 \\\\\n", + "\\textbf{xs} & 1.3436 & 0.022 & 61.231 & 0.000 & 1.301 & 1.387 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\begin{tabular}{lclc}\n", + "\\textbf{Omnibus:} & 5.287 & \\textbf{ Durbin-Watson: } & 1.975 \\\\\n", + "\\textbf{Prob(Omnibus):} & 0.071 & \\textbf{ Jarque-Bera (JB): } & 5.302 \\\\\n", + "\\textbf{Skew:} & -0.050 & \\textbf{ Prob(JB): } & 0.0706 \\\\\n", + "\\textbf{Kurtosis:} & 2.948 & \\textbf{ Cond. No. } & 1.01 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "%\\caption{OLS Regression Results}\n", + "\\end{center}\n", + "\n", + "Notes: \\newline\n", + " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified." + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: outcome R-squared: 0.273\n", + "Model: OLS Adj. R-squared: 0.273\n", + "Method: Least Squares F-statistic: 3749.\n", + "Date: Tue, 03 Oct 2023 Prob (F-statistic): 0.00\n", + "Time: 11:48:09 Log-Likelihood: -22055.\n", + "No. Observations: 10000 AIC: 4.411e+04\n", + "Df Residuals: 9998 BIC: 4.413e+04\n", + "Df Model: 1 \n", + "Covariance Type: nonrobust \n", + "==============================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "Intercept -0.0084 0.022 -0.381 0.703 -0.051 0.035\n", + "xs 1.3436 0.022 61.231 0.000 1.301 1.387\n", + "==============================================================================\n", + "Omnibus: 5.287 Durbin-Watson: 1.975\n", + "Prob(Omnibus): 0.071 Jarque-Bera (JB): 5.302\n", + "Skew: -0.050 Prob(JB): 0.0706\n", + "Kurtosis: 2.948 Cond. No. 1.01\n", + "==============================================================================\n", + "\n", + "Notes:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", + "\"\"\"" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results = smf.ols('outcome ~ xs', data=df).fit()\n", + "results.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}