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@jonathan-taylor
Created June 4, 2019 17:06
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Multiscale selective bootstrap
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.28101785496096798"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"from scipy.stats import norm as normal_dbn\n",
"%load_ext rpy2.ipython\n",
"\n",
"def simulate(n=500, \n",
" p=40, \n",
" check_selection = lambda z: z[0] > np.max(z[1:]),\n",
" scales=np.linspace(0.1, 2, 20), B=10000):\n",
" \n",
" X = np.linalg.svd(np.random.standard_normal((n, p)), full_matrices=False)[0] \n",
" P = X.dot(X.T)\n",
" while True:\n",
" Y = np.random.standard_normal(n)\n",
" Z_OLS = X.T.dot(Y) \n",
" if check_selection(Z_OLS):\n",
" break\n",
" resid = (Y - P.dot(Y)) / np.sqrt(1 - np.diag(P))\n",
" Y_hat = P.dot(Y)\n",
" # now multiscale bootstrap\n",
" \n",
" bootstrap_Z = []\n",
" for scale in scales:\n",
" bootstrap_P = []\n",
" for _ in range(B):\n",
" error = np.random.choice(resid, n, replace=True) * scale\n",
" Y_star = Y_hat + error\n",
" Z_star = X.T.dot(Y_star)\n",
" bootstrap_P.append(check_selection(Z_star))\n",
" bootstrap_Z.append(scale * normal_dbn.isf(np.clip(np.mean(bootstrap_P), 1./B, 1-1./B)))\n",
" bootstrap_Z = np.array(bootstrap_Z)\n",
" \n",
" # fit an OLS model to the probabilities\n",
" \n",
" design = np.vstack([np.ones_like(scales), scales**2]).T\n",
" OLS_coef = np.linalg.pinv(design).dot(bootstrap_Z)\n",
" intercept = OLS_coef[0]\n",
" \n",
" num = normal_dbn.sf(Z_OLS[0])\n",
" den = normal_dbn.sf(Z_OLS[0] + intercept)\n",
" \n",
" return np.clip(num / den, 0, 1)\n",
"\n",
"\n",
"\n",
"simulate(B=100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Thresholding at 1"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"P = []\n",
"for _ in range(100):\n",
" P.append(simulate(check_selection = lambda z: z[0] > 1))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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YYHYO4Xv9+nXZs2eP9OjRQ/7991/p3LlzqFmxfhIgARIgAT8QOHv2rBK+7du3l6efftoP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\nvvFiaRIgARIgARLwC4H/B+m0rZ32SymLAAAAAElFTkSuQmCC\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -i P\n",
"plot(ecdf(P))\n",
"abline(c(0, 1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## One step of forward stepwise"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"P = []\n",
"for _ in range(500):\n",
" P.append(simulate(p=80, check_selection = lambda z: z[0] > np.max(z[1:])))"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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E6IohNhOHw6H3h2UFsFChQmaqrAtCArYwwLLcvHv3bpw7dw733XcfZGnmhx9+\nwIULFzB58mSI4wGFBEiABIKdgPi5yGpfVFSUz6GkTJkSr776KsyiYPlshAq2JmALAyyE5JueGF+R\nVKlS4YUXXtCv9+3bh2vXrlmK9iLe1DJ79iZypMnKh97btSwjARIggTslMGLECCxevNhSM7LfO3r0\naLzzzjuW9KkUnARsY4CN8MlZtyNHjmDChAlGKjHl8uH+/vvvY97HfrF582Y88MADsYv4mgRIgASS\nhYAcK5J8vlZEZr7inEXja4VWcOvY3gB37drVMmFxapB/3kRiq/ryMvR2HctIgARI4E4IyLGiLl26\nmK7ASdyDatWq6fO/EmTjpZdeupNb8togIWA7AyzLxLKMfO+99wYJQnaTBEiABIwJSJChzz//3FBB\n9oVlufmhhx4y1GFFaBKwRSAO8QSUb4g5cuSALL+Iy72cCS5SpIh2wgpN9BwVCZBAqBMYNmwYjh07\nBkmy4E0iIyN13GcaX290Qr/MFgZYIrv89ttv+oMojlSyX/LXX3/pfd+xY8fis88+C/0nwRGSAAmE\nFAGZ1e7fv18HFTIKLfnMM8+E1Jg5GP8I2GIJeunSpVi/fn2cpNL33HOP/uCK56CEX2vevLl/I6M2\nCZAACQSIwPjx43Ue36FDh5qe4OjYsWOAesjb2oGALWbAstQsSRi8iRxaz5Qpk7cqlpEACZCA7Qh8\n8cUXOrqV7P3K8UqZBXsTWX4uX768tyqWhQkBW8yAe/fujddeew2yX5I3b14dG1VyY+7Zs0d7Di5a\ntChMHgeHSQIkEMwEvv76az2ZkIxF6dOnx9SpUw2HIwY6RYoUhvWsCH0CtjDAkoZr27ZtehlaMiDJ\ncSGZ9cqyc+XKlfW3yNB/FBwhCZBAMBOQmAUyWRDjK1toImYGWCYdlPAmYAsDLI8gderUOhlDeD8O\njp4ESCAYCXz33XeQf7KnKwE3xPO5cOHCelLhbTwyO+bWmjcy4VVmGwMcXtg5WhIggVAhsHDhQkyf\nPl3nMi9RokTMsFatWqWzHcUUxHohiWYoJEADzM8ACZAACSSQgCSNEaerTz/9NJ63s6QaNJJ69eoZ\nVbE8jAjQAIfRw+ZQSYAEEo/A8uXLdayC4cOH491338XVq1ctNS6JFmrUqGFJl0qhTcAWx5BCGzFH\nRwIkEGoEVq9ercNHDhkyBNmzZzfMchQREaE9nSWlqhheyfgmwYUKFCgQakg4ngQQ4Aw4AdB4CQmQ\nQPgSkKBBcmRSjG+uXLnQtGlTSMIFb5IvXz7s2LEDs2bN0mlVy5Yti9j7xN6uYVn4EKABDp9nzZGS\nAAncIYFffvkFAwYMwKBBg5AnTx4dq37ixImGrS5ZskTnN2/YsKGhDivClwCXoMP32XPkJEACfhDY\nunWrdrbq168f8ufPj99//x2NGzc2bEGiXOXOnduwnhUkQAPMzwAJkAAJ+CCwc+dOSMS+Pn36oGDB\ngnC5XChdurThVRKC8qeffjKsZwUJCAEaYH4OSIAESMCEwO7du9G9e3f07NkTRYsW1Zp169bFlStX\nDK+STEiSUpVCAmYEaIDN6LCOBEggrAns27dP5yrv2rVrjPPUxo0bMXfuXEMuDRo0wPvvv29YzwoS\niCZAAxxNgj9JgARIIBaBAwcOoFOnTvpfmTJltKdzmzZtULFixVhacV/KMaNvvvkmbiHfkYABAXpB\nG4BhMQmQQPgSkKQwHTp0QNu2bfHoo49qEHXq1MG8efNMoRw8eNC0npUkEJsAZ8CxafA1CZBA2BOQ\nRAoy0/3www9RqVIlzWPz5s0+jW+LFi10KtWwB0gAlgnQAFtGRUUSIIFQJ3D8+HFtfCUVapUqVbS3\nsxw7ijbERuO///77dRpCo3qWk4A3AlyC9kaFZSRAAmFHQPKQt27dWp/tfeqpp3D+/HmUK1cOshds\nJpJYYfLkycxbbgaJdV4J0AB7xcJCEiCBcCJw5swZtGrVCq+//jqeffZZ3LhxA1mzZtU/zTh8/PHH\n+OSTT8xUWEcChgS4BG2IhhUkQALhQODcuXPa+MpM9oUXXtBDHjNmjE/jK4rt2rULB0QcYxIRoAFO\nIrBslgRIwP4ELly4oI3v888/j5dffll3WKJcdezY0bTzEg1LQlFmyJDBVI+VJGBGgAbYjA7rSIAE\nQpbApUuX9J6v7PdK8Izr169j8ODB2vnq5s2bXsedKlUqndlow4YNOh60VyUWkoBFAtwDtgiKaiRA\nAqFDQMJIylEj8W5+4403EBUVpRMniOOVkfGV0UuQDTkPTCGBxCBAA5wYFNkGCZBA0BC4du2aDrAh\n0a2aNGmi+z1ixAicPn3adAwZM2ak8TUlxEp/CXAJ2l9i1CcBEghaArLM3L59exQpUgTvvfdezDim\nT58e89roRf/+/Y2qWE4CCSLAGXCCsPEiEiCBYCPw77//6rjOefPmRcuWLeN0f9euXXHex36TOnVq\nnYKwadOmsYv5mgTumABnwHeMkA2QAAnYnYCc6+3SpQuyZcum935j93fhwoUQ4+xNZKY8YcIEbNq0\niYE2vAFi2R0R4Az4jvDxYhIgAbsTEAcrSScoe7iSYCFaxAtaHKokzrORfPbZZz7DUBpdy3IS8EWA\nBtgXIdaTAAkELQE509ujRw+kTZsWnTt3jpnF7tmzB0888QQkApaZ+IoBbXYt60jAFwEaYF+EWE8C\nJBCUBNxuN3r37q2Nbrdu3eB0/rfjdvToURQqVMjnmDJlyuRThwokcCcEaIDvhB6vJQESsCUBj8eD\nvn376r1didUcERGh+ylHkPLkyeOzz+nTp8ekSZN86lGBBO6EAJ2w7oQeryUBErAlgQEDBuDixYt6\nBhwZeWueUaBAAZ1i0KzTZcuWhRxLqlWrlpka60jgjgnc+mTecVNsgARIgAQCT0DCSUpqQTHCKVOm\njOnQl19+iWPHjsW8v/1Frly5sGrVKshPCgkkBwEa4OSgzHuQAAkkCwGJaHXkyBEMHDgQErdZ5OzZ\ns3j//fd1DGejTmTPnh2HDh2KcdIy0mM5CSQmAS5BJyZNtkUCJBAwAnJkaO/evXrmmyZNGh3fWY4f\nZc6cGTNnzoTsC3sTWaKWzEYOh8NbNctIIMkIcAacZGjZMAmQQHIR+Pzzz7F161YMGzZMHzmS+5Yo\nUQK//fabzy4sWbIEYrApJJDcBGiAk5s470cCJJCoBL766iusW7cOsvycLl063baEmrRifCU4R5Uq\nVRK1P2yMBKwS4BK0VVLUIwESsB0B8Vb+8ccf9cz37rvv1v07d+4cxo4da9pXie9cuXJlHDx4MOaI\nkukFrCSBJCBAA5wEUNkkCZBA0hOYPXs2vv/+ewwfPhwZMmSIueHPP/+s939jCmK9kH3eatWqYc2a\nNdpw33PPPbFq+ZIEkpcAl6CTlzfvRgIkkAgE5s+frx2rRo0apWM8x27SbPb79ddfo379+nS4ig2M\nrwNGgAY4YOh5YxIggYQQWLx4MaZOnYqRI0fi9nCREulKnKq8iZwJbtCggbcqlpFAQAjQAAcEO29K\nAiSQEALLli3TISJl2Tlr1qzxmli/fr1hpCuZ+VJIwE4EaIDt9DTYFxIgAUMCK1euhJz1FW/nBx98\n0Ktes2bNvJZLYf/+/Q3rWEECgSBAJ6xAUOc9SYAE/CKwdu1aveQ8dOhQ5MiRw+u14nwlXs3eRNIR\nZsuWzVsVy0ggYAQ4Aw4Yet6YBEjACoENGzZgyJAhGDRoEHLnzm14Sc+ePQ3rJBcwhQTsRoAG2G5P\nhP0hARKIIbB582a9dCyJFfLlyxdT7u2FHC3yJpKKsEuXLt6qWEYCASXAJeiA4ufNSYAEjAhs374d\nksv3008/xSOPPGKkFlP+zz//xLyO/aJu3bpwOvmnLjYTvrYHAX4q7fEc2AsSIIFYBHbt2gVZUu7d\nuzcKFSoUq8b7S5khG0nFihWNqlhOAgElQAMcUPy8OQmQwO0E9uzZg27duqF79+4oVqzY7dXx3m/c\nuBGdOnWKVx5dQAMcTYI/7UbAtgZYlpNu3rxpN17sDwmQQBIS2L9/P8RhSvZsS5UqZelOTz/9tKFe\n+vTpUbp0acN6VpBAIAnYwgAfPXoUjRo1gjhcnDlzBk2aNNGH7CW+a+PGjXHjxo1AMuK9SYAEkoGA\nHCHq0KEDOnbsiHLlylm6oxjfixcvGupKogbm+TXEw4oAE7CFAZalppw5c6Jw4cKQ2K5RUVH49ddf\nsXPnTly+fBl9+vQJMCbengRIICkJHDlyBO3atUPr1q1RoUIFS7eSPeKlS5ca6sqytFVDbtgIK0gg\nCQnY4hjS6tWrsXfvXkis1u+++w5z585F9uzZ9bDF+L733ntJiIBNkwAJBJLAn3/+ibZt26JFixY6\nRaDVvphFtpJ0g+JBTQksAY/aRvR8Nw9qJgVHoYJwVHg0sB2y2d1tMQN++OGHIUm1RSQ59qJFi2Iw\nLViwAPnz5495zxckQAKhQ+DEiRN61vvOO+/oNIFWRyarY//++6+hunhRy/lfSuAIuNXWoat0Bbgb\nvgV30+ZwPV4drk5dA9chG97ZFjPgMWPGoFatWpg4caI+bC9LUZMmTdJn9y5dugSZIVNIgARCi8Dp\n06fRqlUrvPXWWzBzpPI2avmbYSRz5szxGbTD6FqWJw4B9/nzcOcrDJw7d6tBlwueocPhrvEknNWq\n3CoP41e2MMB58+bF7t27IZlO9u3bp/eD7733Xj3zfe655xAZaYtuhvHHhEMngcQlcPbsWW18JT2g\n/I77I+fUH/Xx48cbXvLCCy8Y1rEi6Qm41OqDp7hyovN44t/sZhTcX02lAf5/MraxbOKpWKNGDf0v\n/lNjCQmQQKgQEAMqM986derof/6My6VmUWbxoB999FEuPfsDNBF1Pes3wNWxC7DmZ/NWvdhl8wtC\nt9Y2BtgIscyIJcl2yZIljVRiyuVb8ddffx3zPvaLAwcO4KGHHopdxNckQALJTECODImnc82aNVGv\nXj2/7y4BOuRkhJEw6YIRmaQr96h9fFf1Z4A9+yzdxPnW65b0wkHJ9gZ45syZkCMKEyZM8Pk8JBeo\nUT5Q+aU/efKkzzaoQAIkkDQExHDK72HVqlXx2muv+X0Tcawy83yWiFdcfvYb6x1d4Ll6Fa5sfkxs\nPmoBZ9Uqd3TPULrYdgZYzgDLL6rsAYt07UqvuVD6wHEs4UngqvpD3aZNG33GV5yu/BX5u1CmTBm1\nreh9/fKee+7BunXr/G2W+gkk4NmxE54Df8D9qXEM7tubdiyci4iaaqZMiSFgi2NIEulKQs9Jom05\nC5wxY0bcddddKFKkCCZPnhzTWb4gARIIPgLXr1/XQTZkG0mOGyVEateubRoRT+IHUJKHQFTdBnCV\nfxzuVxoCW7f7vun998N54jCNrxdStpgBt2zZUi8PL1y4EHny5NHGV44fiWe0OGtIXOjmzZt76T6L\nSIAE7ExAfnclvGSBAgXw/vvvJ6ir4tchfxuMRI4wybI2JekJRBVR8bl/223tRlmzwtmuFRwt34dD\nTawo8QnYYgYs4eTGjRunM5+kS5dOx26VJSUJSTdixAgdGSt+11lCAiRgZwKysiXhIHPlyoWPPvoo\nQV2V5AwNG6qZloEULFgQS5YsMahlcWIRcP+yCVE581k2vo4vPkfkicNwtlUGmMbX8DHYwgDLUvOK\nFSu8dlIiYWXKlMlrHQtJgATsSUAymcm2UlY1C5IwkwmVN9980/RSiYhFSVoCUV9MgfvRysCxP63d\nKE9uRLxJT2crsGyxBC1Jt8UrctiwYZCgHHfffbfOcCJ5QcX5InZoSiuDog4JkEDgCMhZXTkuJKtY\nsvyc0GxEkhlt/fr1hgMZNGgQg/QY0kmcCveuX4G3Lezbp0kNRKYAypRCxJLvE+fmYdCKLQywOGds\n27ZN/7IdPnxY7wfLrFf2fStXrpzgX+AweH4cIgnYioAY3x49eiBVqlR6Bux0JnyRTULSGomErjWr\nN7qO5f4RcL/xtu8L+vZCRKWKgEqAgTKl4biDZ+77ZqGlYQsDLEglewkdKULrw8XRhBcBt9utMxDJ\nz1691B/lO0iGcOXKlZgELd4oSnwAStIR8KgvUu4FKinOjl3mN3m3CSK7dDTXYa0hAdsYYMMesoIE\nSMD2BOR8br9+/SDnffv27XtHxlcGK9tRRiJHkuQLOyVpCLiPHYO7ylPAwcPGN1Dx+R0TxyKiEfd6\njSH5rqEB9s2IGiRAAj4IyH6sxHgWI5wihdoLvAM5dOgQunfvbtiCnJigJA0B92+/wV20jPdECrFu\n6Zg9HREv1IpVwpcJIZDwDZqE3I3XkAAJhByBoUOH4s8//8Snn36qA+kkdIBbtmxB9erVUbRoUcMm\nxDckc+bMhvWssE7Ao/Ipu9esRdQbjeF64WVEDR4Gd5HSPo2v8q6j8bWO2VSTM2BTPKwkARIwIzB6\n9Gj88ccfGDx4sHa8MtM1qpPUhHJOWPZ15fiSmYhXNeXOCUgoSVcdlQzjyDFA7dnrAJ/fGwc7iblj\nZAQiThyOecsXd0aABvjO+PFqEghbArIULAkSZAacJk2aBHGQMJVyVli8p33JY489Rs9nX5As1Lvm\nzoOnTn0LmrepPJwfzi3r4Ujgs76tNb5VBLgEzY8BCZCA3wQkRvumTZv0zFfitvsrsl8sgTpKly5t\nyfhK+998842/t6F+LALulasQ9Voj/42vcrhyzpuFiN+2wakiFVISjwBnwInHki2RQFgQmDZtGlau\nXImRI0ciffr0fo/56NGjyJ07tz7fL0eWzES8nSU5ixh8SdZCSRiBqNfVed7pM6C+7fjdgPP8SRpe\nv6lZu4AG2BonapEACSgCM2bMwOLFizFq1Cgd6cpfKLJfLE5WcmzJKLWgtCmBPF555RXUqVNHpyGk\n8fWX9C191+QvgWkWVg/Ee732C8A2leHo2nWgUAFETJ0MB2e9t2Am8isa4EQGyuZIIFQJSMq/efPm\n6QQp0fm6/Rnr6dOnUbx4cci+ry8RA5/Q1IW+2g6n+qhxE4D3WloasvPrL+Gs+5IlXSolDgFDAyyZ\nTCQ85G/qXNjBgweRL18+vV8j2Uci1Z4AhQRIIHwISFKUb7/9Vi8736/yuyZEnnrqKR2ow+xayYYm\nCRhofM0oWauLaqbSP06Y5Fs5WzZErP0Jjoce8q1LjUQlEM8JS5aFxNmhcOHCaN26NZYvX66/sUpC\nBEkLlj17dgwZMsQ0OXai9pCNkQAJBJSApPv78ssvMXz48ASdwZWEKv/73/9glrlI9nklgcOsWbMg\nR5soCSfgUbnUo95Xs15fxjdtWqBVC0QeP0jjm3Dcd3RlnKmsJM9++eWXId9UJQuJt2+658+f179M\n1apV0/tB2dS3JwoJkEBoEvjpp5/w+eef62VnOS7kr8hy8+OPPw4JsmEk0q4E8riT2NFGbYdbuXvF\nKrhfUMvIV66aD13F6Y44uAeOLFnM9VibpATiGGBZWp4+fbqpZ6Ps/Xz88cdo06aNOr9t7sGYpD1n\n4yRAAklKYNWqVRgzZoye+T744IN+30u2sR5Sy5qnTp0yvFZSFW7dupXG15CQ7wpXp4/hmaQcraKU\nh7OaIPkU5eDm3LaBxtcnqKRXiLMELQY4+ljB999/D4lQE1vEg1GWn0Xk4H1Czv/Fbo+vSYAE7Eng\n559/1oZXft9z5syZoE5WqFDB1PhKo7LN9cADDySofV6kbG7l6vAMUH+Tz6i/1VaM70O5EbFrC5zK\nl4cSeAJxDHDs7si3VsnTK+f9RCZOnIhy5crFGGhdyP9IgARCjsAvv/wCSa4wcOBAPYNNyACbNWum\nZ7ZG18rMV+I+R3+hN9JjuXcC7hMnEJW3ELBmnXcFb6VZsyDy4F448ufzVsuyABCIswQd+/5NmzZF\nrly50KhRI/0NVULFiTE2C5Qe+3q+JgESCD4Cshws6QQHDBiA/Pnz+z0A+TshhlWWr41E9nol3WCL\nFi2MVFhuQsC9cxfcpR61HlRD8jI/VgERy1R+X4qtCBga4OheSmoxcc5KmTIlnE7DCXO0On+SAAkE\nKQHxUu7Vq5c2wAUKFEjQKMSB08z4ysxXtrYyZMiQoPbD/SKdq7d4WWsYFGsULADn+P/BUaE8HPz7\nbY1bMmoZWlRxvnjjjTe09+OOHTvw3nvv4YknntAekcnYP96KBEggGQjIeX/JwSsGuEiRIgm647p1\n6/QqmdHF0TNfGl8jQublbvUFyZ3Xwt5tjSfhaN8azkVzESnxm9Xsl8bXnG2gag1nwOJ4Id+Io3Nv\nNmnSBFWqVMHcuXMD1VfelwRIIAkI7Nu3T59skHO4JUqUSPAd5HSEWXhJyRcsaQcp/hNwS+7e4uV8\nX9ihLSIH9PWtRw1bEIhjgOXM3oYNG1C1alU8//zz8TqYN29etG3bVpevWbNGR8eiB2M8TCwggaAh\ncODAAXTs2BGdO3fWke7upOMyAzYSWUUrVqyYUTXLDQh4NmyEa9EPQL+BBhr/X6yWm52rf4Sz0mPm\neqy1FYE4S9Cyz7tSOVpJAHSJhnXx4sU4nZXD8rNnz0blypV1ffSRpThKfEMCJBAUBA4dOgRJcN+u\nXTuUL18+wX2W877PPfccJOKVN5GtLBpfb2TMy6LqN4Sr6tNAn0/VeSPvbGNa2LaRxjcGRvC8iDMD\nlj0a2QP666+/0KNHD7Rs2VIH28iioqWI8ZW9GznbJ/vD9IYOnofMnpLA7QQkJaAY3g8//BCVKlW6\nvdqv92XLljUNM1mvXj2/2gt3ZffyFXB/PlmlnprtG4Wa+TqWfI+I4lxd8A3LfhpxDHB09yS85IQJ\nE/S/kydPxiRjiN4PjtbjTxIggeAjcPz4cR3Jrnnz5tqv405GIAF7zGI8S1rBp59WsziKTwIedbbX\n1eANYOMmQO35WpKt6xFxB/v2lu5BpSQj4NUAx76bxGlNSAzY2G3wNQmQgD0IyBdqiT4lTpVPPvlk\ngjq1d+9efPXVV7ikgv5PmTLFtA3xFZGtLYoxAY86O+1u2QqeL6epPLzXjBVj18iRojnfIpLGNzaV\noHttaIAvXLiA999/H7t27YqT+ejZZ5/VIeqCbqTsMAmEOYEzZ86gVatWeP311yG/xwkRiZJVq1Yt\nSFtmIud9Ja68LE9T4hLwqCiDnr374Jb4zb/+Bhz/Czh1Oq6S0TsVlwHP1EDE2FFwMBGOEaWgKTc0\nwBKGTpywRo4cCcnRGS2SNoxCAiQQXAT+/vtvbXxfeeUVvPDCCwnuvES5unLlis/rxX9E7kWJS8A1\nbCQ8fQcA6nkkRJxb1sNZNGHntBNyP16TtAQMDbDsE8kMWI4kUUiABIKXgKxmycxXDO9LL6lUdQkU\n2cu1YnwlScvQoUMTeJfQvSxq4hdAmw7+DzB1auDBbIhYugCOPHn8v55X2JZAnGNIsXspv6iyv3P6\ntMWlkdgX8zUJkIAtCMgqluz51qhRA/Xr1/e7T5JydOnSpXj33Xf1T7MGJFStxAUQD2vm9o1LyiNO\nVU3fi1vo653KToe6LyFCne+N2LGJxtcXryCsN5wBy1GkRYsWYebMmcijvnVF/0I988wz3AMOwgfN\nLocfAZmtSuCcxx9/XIeVtUpgy5YtaoX0b52GsFOnTjo4j1lOX4kXL05dEj1PQtZKznBKXAIuKyEk\nY19SrAicwwfDWbVK7FK+DjEChgZYHC3KlCkTb7jcA46HhAUkYDsC15Q3rRhfcYJq3Lix5f6J7oIF\nC3Dz5k293CzOVPLaSOSL+dSpU7nfawRIlbs2/vKfo5WRTvr0QL68QNq0wA01U36rESKaN4Owp4Q2\ngXgGWGa4X3/9NXLkyIH7779fZy6R1xQSIIHgICAhZSXIhgTLkaVjKyIZz2SpevJkFQDCDxk7diyN\nrw9enserG2uoZWbnFxPgePF5OCRtICWsCMTbA968eXPMN145cvDaa6+FFRAOlgSCmcC/aq9RYjvn\ny5fPUr7dy5cvQ2I4SyhKMaZWRfZ769atC8kbTolLwHP+PDyHD8OjtgBc06ZD/UGNqxDrnWPFD3C+\nVJvGNxaTcHoZbwYcToPnWEkglAhITGZJqpA9e3Yd6cpsbC4V/GH+/Pno0qULJLCGVZFlUVnWlrPE\nLVq0sHpZWOh5lKF1tWoHzJoD5TTz/9GsTJaRKz6KCCZPCIvPhtEgaYCNyLCcBIKIgCRC6Nq1K+67\n7z60b9/etOcSDUvO6EqUKitSqFAhvSpWrlw5nR9c7kGJS8CjvMVd+QsDR47GrTB5F7FymUktq8KB\ngFcDLIkXZE9IflFlSevIkSMxLOSMn+wNU0iABOxBQGaz3bt3h/xuygzYzHlHnLMk1rtZ3t7oUUWq\n/UlJziKzZIo5AVcJFfHLD+OLCuXhkKhWlLAm4NUA3+79nDt37hhIktlkxowZMe/5ggRIIHAE5Jyu\nGEnZk5UZsPw0k0aNGvk0vmLAJdXogAED9LEis/bCvc6tJijux58EdqmQkn6Ic/RwP7SpGqoE4hlg\ns/N+AsHs23WoQuK4SMCOBGQW+8knn+jl4T59+sSc1Tfqa3Q+b6N6KZfEK2+99ZZuN/rsv5l+ONe5\njx2D++GiUMuF1jHIrLdzezhLlbR+DTVDlkA8A8xfupB91hxYiBHo37+/zkjUr18/yHKxNzmvPHJl\nZiwnGuSEg5GkSZNG5wCXgBrcYjKidKvctWcvPIWVEVVfgkxlyiRE1Hnxv8QLKnuU84nH4aDjlSmy\ncKr0/lsbTgQ4VhIIQgKDBw+GrFZJ0hSJRHW7yF5v3759IUZaZsq+9ny3bt2KAgUK3N4M399GwHPg\nAFySTOGLKbfVeHnbtSMiX//vGGdEy/e9KLAo3AnQAIf7J4DjDzoCI0aM0I6RgwYN8pprV5yyHnro\nIZ0y0JfhlcFLwhUaX98fg6j/jQNatgbUvrtPaVgfkX16+VSjQngToAEO7+fP0QcZgf/973/Yt28f\nZAacWrLkeJFRo0ZZTqLy8MMPY/HixV5aYZEQkCQK7hmz4JmgIoStWWsNypTJaub7qjVdaoU1ARrg\nsH78HHwwEZgwYQK2b9+uU/2llbjBBuIrFaD4eYiXs0TL2rBhg0/nLYPbhHyx+7fdcFetAZw5a22s\nygPdeWQ/nNkftKZPrbAnQAMc9h8BAggGAl9++SXWr1+vM5GlS5fOtMuSy9ubiKNWyZIldcxnCaYh\nKQop3gm4Dh2Cp0gp75XeStOmgfPMcThNvhh5u4xl4U2ABji8nz9HHwQEvvnmG/z0008YOXIk7r77\nbtMeP/fcc2qL0vseZe3atSFtGXlMmzYcBpUetXfumTMX7t/3A90s7t+mVA5wysvZOXkCnMqTnEIC\n/hCgAfaHFnVJIJkJzJo1S6cHlH3dDBkymN7922+/1Tm8jZQkfjONr3c64qzmKl0B+FUF1FCG2JJk\nyoTI08csqVKJBLwRMA+b4+0KlpEACSQLgXnz5mH27Nl62dlKHu6ePXsa9itlypRe83sbXhBmFa6h\nI4AdO60Z3yyZAZWvN+LPP8KMEoeb2AQ4A05somyPBBKBwKJFizBt2jTIzDeTmmmZSXRKQbOsRnIm\n+MEH6RzkjaNnkwpQ0qmrt6p4Zc7tm+AsrqJfUUggEQjYdgYsySAuqcgxFBIINwLLli3D5MmT9cw3\nS5YspsM/ePAgJEtRrVq1DPXq1KmDdu1UmjxKHALu7xciSmUwcj3xJKCySfkSx/rVNL6+ILHeLwK2\nnQHL0tuKFSvw+eef+zUgKpNAMBOQz/zYsWO18ZWsRWZy7tw55M2b10xF17VurYJHUGIIuP/+G+5H\nKwMHLCwhy1nrTPfDMeEzRDxaLqYNviCBxCBgCwOcP39+nD0b96ydJBeXHKdiiMV7U2YEFBIIZQJr\n167VS85yjjdHjhw+h1q+fHmfOhJo4/HHH/epFy4KbnXu2f1YNWvRrBQU564tcGTNAoePo1/hwo/j\nTFwCtjDAYlwbN24M8dJ888039Qjnzp2rzz1KSjTJc0ohgVAmIGd8hwwZoiNcxU7/aTTmKVOm4ICK\nS2wmsny9c6dyLKLAs2UrXIt+ALpbPF4kzMqUgjOf7xUG4iWBhBKwxR5wpUqVdKYW+YPSpk0bbXAl\nI4sEHMiVKxezsyT06fK6oCAgWYrki6YkTrCypCyxnps2bWo4Nvm9adWqlY4XnSpVKkO9UK/QR4s+\n+RRROfLCVbGKdeMr53krPoqItStCHRHHF2ACtpgBCwMJMPDVV19hxowZqFy5MmR5jakRA/zp4O2T\nnICElpRcvpJS8JFHHrF0P5nVyhaNN5F83adPn4akFwxn8Vy/Dle+QsBfJ6xjUDl6nc3fAdSs1/F4\nJThUyE4KCSQlAdsY4OhBvvLKK6hYsSKaN2+O4sWLRxfzJwmEHIFdu3bpHLyffPIJChVSxsKiyBdV\nI5G0guFufIWNK7f6MqO+iFgSlc7RuXENnCVLWFKnEgkkFgHbGWAZWPbs2fH999/rMUrmF8ltKjFs\nfcmmTZt0sHpvevLHLpyX47wxYVngCOzevRvdunWDBM8oWtS/c6VffPGF147L7LdECRqRqB9/sm58\nVXxs54VTjOHs9RPFwqQmYEsDHHvQM2fO1HtZkgnGl0hiciOHLamTP1AUEgg0gd9//x1dunTBxx9/\nbOmLZez+yvLyhQsXYhfFvBaPZ4oi8MzzvjGIV3ORQohYtggOJlDwzYsaSULA9ga4a1drEWqEjnz7\nN5oByOz45MmTSQKRjZKAVQJ//PEHOnXqhI4dO6Js2bJWL4vRky+kRiJL2eEuUe80V+vP3pNRaDYV\nK8DZsjkcpVWmo7x54FApBCkkECgCtjPAcvZXQuvde++9gWLC+5JAkhA4cuQI2rdvr9MBVqigAv/7\nKYcPH8aYMWMMr6pZs6ZhXThUuCWk5Ocm8QKeq4nIBXPCAQXHGCQEbPH1Tzw6ZUlOgg9I0HgJPC9L\nyUWKFGEAjiD5ILGb5gT+/PNPfcSuRYsWfgXGWLBgAdq2bYsOHTro0wF79uzxeqPUKmJT2jBfSnU/\n/7JXNtGFNL7RJPjTLgRsMQNu2bKlXh5euHAh8uTJo42vxIEWRxU5zyhxocUrmkICwUjgxIkTetb7\n7rvvolq1apaHILl9ly9frj//vi6S8/LhLFEzZwOnThkicEz4n2EdK0ggUARsMQNeunQpxo0bh2LF\niungG+Isdc8990CW6UaMGAGJikUhgWAkcEoZBfkS+dZbb6FGjRqWh/Dyyy/r3L7y5dOKvP3221bU\nQlInSqJbvdLQeGx5H0JE08bG9awhgQARsIUBlqVmCULvTWQJzlc6Nm/XsYwEAk1A4puL8X311Vch\ns1mrIitBc+ZY26uMVMdoZOsmHLMdeW7eRJRkMurTzxSt8/OxpvWsJIFAEbDFEnTv3r3x2muvYdiw\nYToUn0TFunjxImS/S5yyJDcqhQSCiYBkKvroo48gM1lJJuKPSEx0XyJ7vnLsSLZmZPYbjlHjXI+r\n5fyNm8xRZckMZ5UnzHVYSwIBImALAyxBNrZt26aTL4inpxwXklmv/HGRsJQ8vxugTwdvmyAC8uVR\nZr4y661bt67lNv5WafIkHrTROV8xsmJs3W43nn32Wb/attyJIFF0qeNcPo30K01SAAA0iklEQVSv\nioPtPLQvSEbEboYjAVsYYAEv3+irVq0ajs+AYw4hAnKEToxv9erV9aqO1aHJOfV69erpoDNG18gK\nkTgshru49v0OT4Fi5hhy5kDE77/CoYwwhQTsSsAWe8B2hcN+kYA/BK5cuaKPGj322GMxaTWtXC9e\n0uXKlTM1vvIFlcZXxdhYs8638X2mBiIO/07ja+XDR52AEqABDih+3jxUCFxX2XfEEapUqVKmqQJv\nH6+cgZ84ceLtxXHeyxaMWQSsOMoh/CaqS3d4Klc3H6Ga+UYuns9tK3NKrLUJAdssQduEB7tBAn4T\nkKNCEuGqYMGCfp1XP3jwoJ4pb9myxfCesu/buXNn1KpVy1An1Cs8as/b1fAtYPoMn0N1rl/lU4cK\nJGAXAjTAdnkS7EdQEpAZrMR2fuihh7TXs9VBSJavAgUKmKqL8Z0+fXpYO1sJINdDjwBHj5mykkrH\npnVwZsvmU48KJGAXAjTAdnkS7EfQEbipzqHK7DRr1qw6XKTVAVy9etWn8ZW2GjZsGPbGN+qxKr6N\nr1qid54/CacK3kMhgWAiwD3gYHpa7KttCMj5dMnnmyFDBp3ZyJ+OWU2aIMY9nMUlS84/bzBHoHKH\nR/z9F42vOSXW2pQADbBNHwy7ZV8CLpcLPXv2RCp1xEWSiPhzTl1CU65evdpwcBKCVfaSJTyrryVq\nw0ZCoMK9dTs8rzYyH0mVyog8dgAOZk4z58Ra2xKgAbbto2HH7EhAgmD06dMHHo8H3bt39ysC1bRp\n0/ResdG48uXLB3HIWr9+PZ566ikjtZAt96gz1K7hoxDVshXcpR81H+eHHyByxVJzHdaSgM0JcA/Y\n5g+I3bMPATG6/fr1w7Vr1/Dpp5/6ZXzfe+89TJgwQUexMhrR1q1bkT59eqPqkC33KG9w1+sqmcQm\n5Q2uVhfUtxvzsTZrisgRQ8x1WEsCQUCABjgIHhK7aA8CAwcOhMR4FiMsSRCsisxqx48fr2fNRteM\nGjUqrIyvR6UbdY8cA8/v+4EpXxthiV+eJjUix42OX84SEghCAtb/igTh4NhlEkgsAkOHDsVff/0F\nMcIpU6b0q1mJaS6zZyNJmzYtWrRoYVQdUuUeNcN1de0BDFAzWBMmXgetjmU59+3yWsVCEghGAjTA\nwfjU2OdkJSCz0z9U8P/Bgwdrxyt/b75jxw7DS3LmzIk1a9YY1odShefff+EqWhrYfyBBw3Ju/hlO\nlXqRQgKhQoBOWKHyJDmOJCEwduxY/Pbbb3rmmyZNGr/uIR7P4nglwTq8iWT6kixgYoRDWbTh/WYG\nXPerIBlWja9DEXGqP0/33weUK4OIU0fhLFE8lDFxbGFIgDPgMHzoHLI1ApMmTcLmzZsxfPhw3HXX\nXdYu+n8tiXRVsWJFndfa6MJ33nkHGTNmNKoOiXLXsp/gqfcqcPGSX+Nx9OkJxzuN4VBe5yo3KRxq\n+ZlCAqFGgAY41J4ox5MoBKZOnarP644YMQLp0qWz3KYcU1q2bBnq1KkDSdBgJpI1KVTFo8buatsB\n+GyCtSHq2a76MpI/PyJmfQOHii5GIYFQJ0ADHOpPmOPzm8C3336LH374ASNHjoQExrAqEqDjySef\nhBwn8mV8c6i9TIkfHYoSNXY80EYZ3+v/WBvem68jYvz/4PDTuc1a49QiAfsSoAG277NhzwJA4Lvv\nvsO8efMgjlf3+hlhSSJY7d+vjtX4EGl3+fLlPrSCszqqzivA3PnWO68Mb6RaaqaQQDgSoBNWOD51\njtkrge+//x4y+5Vl5/vuU84/FkWOGFWrVs2n8ZXsRg0aNMDatWshUa9CTaImfWHd+ObOBee6lTS+\nofYh4Hj8IsAZsF+4qByqBJYsWYIpU6boZedMyunHHxFnqhUrVpheIk5csq9cu3ZtU71grXTNmA00\nec9397M9AOd3M+BQHs1ccvaNixqhTYAz4NB+vhydBQI//vgjJk6ciGHDhunUghYu0Sqy5/vhhx/q\na82uKV++vM7rG6rGN6rmC/DUb2iGQCXrVeeKZK/3z4NwlitL42tOi7VhQoAz4DB50BymdwKrVq3C\nZ599po3vgw8+6F3JS6mc7S1VqpQ+I+ylOqbowIEDyJs3b8z7UHjh2bwF7rETgCtX4Ll6DVjsIylC\nnjxwLpkHp/JwppAACdwiQAN8iwVfhRmBdevW6f3eIUOG+B0Mo0qVKj6Nr3hDh5rxjRo8FOiiQkne\nvGn50+L8bSucqVNb1qciCYQLARrgcHnSHGccAhs3btShJQcNGuT3caCDKnvPhg3GieKd6kxrt27d\nULJkyTj3DNY3ntOnAUkVKEeL5i/0axiO3TtofP0iRuVwIkADHE5Pm2PVBCQ7kWQ06t+/f4K8kSW1\noFlyhS5duqBnz55BSVuSJXi+mwfPmbNwPJQLnr2/wzPqf4B6L0bYsuRVy87Lf4AzJ2M3W2ZGxbAj\nQAMcdo88vAcsiRF69+6t8/kWKFDAbxhnz541PcP7yy+/oGzZsn63G+gLPP/8A/eOnfA8Vwe4cEHn\n5fWkSPFft/xYbtYXPF8LkfNnBXpIvD8J2J4ADbDtHxE7mFgEJKlC9+7dtQEuXLhwgpqV40ri/exN\nHn300aAyvjKL98yaA/fP64F53wOHj8ZNEWjV8Epu5KxZAJWswtH6Q0Q0b+YND8tIgARuI0ADfBsQ\nvg1NAnv37sXHH3+sDXDx4gnLqrNnzx688cYbhoAWLVpkWGenCvelS3DLmd3vFwA3lDOVv3l5Yw9G\nneeNWLscDj+TVcRugq9JIFwJ0ACH65MPo3HLUaDOnTvrf6VLl07QyI8ePWrqVCWOV/6GrkxQR+7w\nIvfVq3Dfr45bWZ3dGt1PshN16YCIHl2ZqciIEctJwAcBGmAfgFgd3AQOHTqEDh06oF27dpCAGAmV\nIkWK4F+VUN5IihYtalQV8HLPnr3wHDykz+26X38LiPK+hG7YUYmJfXd6IK3Kh1z7RZWpKAucTz8F\nxyMPG17CChIgAd8EaIB9M6JGkBKQWasY3o8++gh3kvpv8ODBygHY2AP4gQce0NmT7ITJowKFuMeM\nheerqcAfyvg6VSQqf3LySuSqTPfDuXm9muGqgHkXLgI5ssORXhliCgmQQKIQoAFOFIxsxG4Ejh8/\njrZt26J58+Z44oknLHXv3LlzkMhY4mRVuXJlZM6cGVFRUejYsaPh9ZJWUDyr7bT8LM5Vrlwq6tTJ\nU4b9Nqx4QOXhLVkCjoYN4KyjZrvKsUpLtmyGl7CCBEggYQRogBPGjVfZmMDJkyfRunVrNGnSROfn\ntdJVWaoWL+YrKryiQ83+rqq9UvGanjRpEtxut9cmMmbMiMOHD0P2f+0kribv+m98m7wNZ4v34JBZ\nrh+ZoOw0bvaFBIKNAA1wsD0x9teUwJkzZ9CqVSvtrfzMM8+Y6kZX/vrrr9rBSma7sUU8nlObhFD8\n6aef7Gd8V6wEJn8Vexjmr9URIodKCxhRroy5HmtJgAQSnQANcKIjZYOBIvD333/r/d769evj+eef\nN+2GHEu6oAJOyNEhyf97u/GVi3fv3o0MGTJ4bUeWtUuUKOG1LlCF7n374Klm4UvHXWn/O3qkolVF\nzJ0Jh0qWQCEBEkh+AjTAyc+cd0wCAufPn9cz3xdffBF16qhoTiYiM+QZM2bgHxX9Sa4zEllaHjp0\nqF7OPnXqv/1UWZ5Oo/ZFJYWhXcTzyya4Fi0BPh1o3iWV7cnZvw+QJTMcyrPZUSZhR7LMb8JaEiAB\nqwRogK2Sop5tCVy8eFEbyaeffhoy+zWT9u3bY9SoUYb7urGvlRnuq6++qj2oJf6zGOsKFSqgV69e\niJToTzaQqFdeA2bPhRqQz95E/LoFDoMZvc+LqUACJJDoBOzxVyTRh8UGw4WAOE21adNGezq//vrr\npsOWJWo5UmRVJOykSM6cOfVStdXrkksvqmQ5YPtO37dTs3bHgu9ofH2TogYJJCsBe7lvJuvQebNg\nJyCeynLUSAJsvP322z6H88UXX/jUEYWaNWvixIkTSG/jM69RdepZM75qPI5lCxFR08LesCU6VCIB\nEkgsApwBJxZJtpOsBK5fvw5ZTpYIVM2a+Q7+L2d8JSiHkeTOnRsSUGPkyJEoU8beHsEuiWo1VyVP\nsCJTJyOiejUrmtQhARJIZgI0wMkMnLe7cwISElLCS+bPnx8tWrSw1ODXX39tqCeGV84BB4t4nqll\n3lUJG5k3L5zjRsNZ1t5fJswHwloSCG0CNMCh/XxDbnQ3VIjFTp066X1ZCbbhS8RY9+zZE6NHjzZU\ntdKO4cXJXOHa+Suw/w/ju0qChA9UpiP1pUI8tikkQAL2JUADbN9nw57dRkDO6kpKwUyZMpkuJ0df\nNnHiRH0u+Nq1ayrjnie6OM7PtGnT6qXsOIU2eiNHjNxbtwNydnf/AXhGGH+RwP33IbJvbxv1nl0h\nARIwI0ADbEaHdbYhIPGZu3Xrph2jZAZsNrv76quvdN7fY8eO+TxuJDGf7SgetcftqvIUsGUbVHBq\nIIX6Vb0ZN1LX7f12bFh9exHfkwAJ2JgADbCNHw679h8BMb7RZ29lBmwWe7lp06YQA3zTQr5bMeIS\nlMNu4lbL5u57swD/3rjVNR/GVx1MRoTa96WQAAkEDwEeQwqeZxWWPZWl4759+2qD2qNHD0RIIngD\nkaxEX375pU/jKwZcMh117twZErzDLuJRgT7cS3+Mb3ytdLBDGyta1CEBErARAc6AbfQw2JX4BPr1\n66dz8X766ac+o0+JZ7S3mM7RrcqM9+GHH4YY8kceeQSlSpWKrgr4T9e27fA8/xJw/C//+iKZmHLl\nQESfnv5dR20SIIGAE7C9AZblR/mjmipVqoDDYgeSl8CgQYMg2Y0GDBiAFClSmN58165dpvGZxXGr\nS5cuePfdd3UsZ9PGkrHSI/vUa9bB0/At33cVr+aM9yqHrLvUnnAKOF5Ux5FU7l5ng1fgEENMIQES\nCCoCtjDA4iwje3tz5szRsXY/++wz5MuXT4OcOXOmLpfg+ZTwITB8+HAcPXoUYoRTpkzpc+Dz5s0z\ndLh6UCUh2LRpkw604bOhZFLwqNjNrlbtgElfAsrhyoo4flwEZ+5cwNVrQL68cKikEBQSIIHgJWAL\nAzxs2DD9x3Hz5s2QgAnimbpy5Uq9XBi8aNnzhBIYM2YMfv/9dwwZMsQ0H2/s9qdMmRL7bZzXa9eu\ntZfxVas6rmwPAadPx+mn2RvHDwsQUa2qmQrrSIAEgoyALQyw5GTdtm2bXhrs3bs3ChUqpJ1j5A8n\nJbwIjB8/Hjt37tTGV9L+WZGzZ89i//79XlWzZ8+O3Llze60LRKHn5Em4HikKXLps7fZqydnx/RxE\nVKxgTZ9aJEACQUPAFhtHYnBl9hstDRo0QMuWLfHss89CMthQwoOAJEvYsGGDzliULl06S4OWL27i\nTGUUaEPSCdpB3CoWdVTFJ+DKobZWrBrfziqq1YkjNL52eIDsAwkkAQFbGGDJtVqvXj3tbBM9Rkkx\n9/LLL+s8r9Fl/Bm6BGTrYfny5ZDtCKtZiI4fP66Nr/gQGMlrr6l8uQEWjwqf6X4gN7B+I5RHoXlv\nJM9wevXlo3N7RH7aGw4L+9/mDbKWBEjArgRssQRdo0YN/PHHHzh48GAcTnJc5IknntB1cSr4JqQI\nzJo1CwsXLsSoUaNwzz33WBrbabV/WrWq+Z5oxowZUaJECUvtJaWSS5InKCPsU9SM11n5MTjUsrmj\nSGGf6lQgARIIbgK2MMCC8C51tEJSy90ukqnG6h9liX5kFAFJyt3K85RiLwJz587F7NmztfEVg2lF\nJMGCeDabnfmVz9PixYutNJdkOq7R/4PnswnA7j0+7+FY9SMiKlfyqUcFEiCB0CFgGwNshFSOIR05\ncgQTJqg/ZD5k2rRpEH1vsnv3bp1Bx1sdywJDQGa933zzjc7Be//991vuhBxRMjO+cmZYDHu5cuUs\nt5lYih7lEOYePxGe6epzuEtlLvIl6ny7Y/oUGl9fnFhPAiFIwKGcV7yniQmxwUrKuZPKA1X+4FMC\nT2Dp0qX6S9XIkSP9OiIkx5MkipWRiOf0559/jkDs/boGDoGna0+VNOGmUffiljdqqCJY9YAjZ864\n5XxHAiSQbATatm2Lhg0bBiQynu1mwDKzuXz5Mu69V0X8oYQkAXG2GjduHEaMGOGX8RUY9evXN2Qi\ncaLFiSu5ja9bnet1l1HHhLbvNOybt4qISePhMIlt7e0alpEACYQOAVt4QUuSdQkTmCNHDh31SPYC\nZQ+vSJEimDx5cujQ5kiwZs0ajB49GkOHDoWc0fVHxNt5+3aVG9eLSJxnyYIkoSaTS/TRoibvwp0y\nvX/GVy2RO7eup/FNrgfF+5CATQnYYgYsZ35leVj2BPPkyaON76VLlyD7tpIu7p9//kHz5s1tipDd\nskpg/fr1eoYq4SVz5VIhFf0Q+TzkNFmqrV69erLOfN1/HIS7iErmoD6bliVrVqBMKTj79YGTXs6W\nsVGRBEKVgC1mwLIfKEuSxYoVgwRgkNmMeD5XqFBBL1OKQw0luAlILGZJqtC/f3/kTUDe2hYtWpgC\n6NOnj2l9Yla61RaJO786JmTF+Mq53syZgO5dEHniMCJVVCsa38R8GmyLBIKXgC0MsCw1r1ixwivF\nBQsWQDLZUIKXgESrkpy+klJQ0gEmRIy826UtSdZQvHjxhDSboGvcBdS9rPgu1n0JEf9cROSpY4js\n1T1B9+JFJEACoUvAFkvQEv9ZHGfEgUZmR3fffTcuXryIPXv26OMmEiuaEpwEJE1gz5498cknn+gY\n3wkZxcCBA/U2hLdr06ZNix07diRLikGPWgZ3NXgD+MtHzt5UKeGY8TUiXlABOCgkQAIkYEDAFga4\nZMmSOhmD7BEePnxY7wfLrFf2fSUzkixJU4KPgOzhd+3aFb169fIaZMXKiPr166cd9Ix0ZWYdnbrS\nSCcxyl0q2YOneFmVOtB8z9fx/rtwdusMh+z3UkiABEjAhIAtDLD0L3Xq1D5DC5qMg1U2I7Bv3z5t\nOLt165bgcJBTp041Nb5y7OiZZ55J8pG7Dh+B5+H4Udri3XjXFkTQuSoeFhaQAAl4J2CLPWDvXWNp\nsBKQuN6dOnVCx44dUaZMGb+HIaEmxVP6jTfUcq+JiHEvUKCAiYb1Ko8KU+r6qA2iHnoEUXkKwNXs\nfXjU+V7P9evw5Cvku6EHsyGSxtc3J2qQAAnEELDNDDimR3wR1ARkC6F9+/aQ6DLixe6vHD16FE89\n9RQk4pWZiHGXZB13Kp5r1+AeMxaevv2Bi5dimvN8ORXuVKn+i2qlDLGpZMmCiG0q0xGFBEiABPwg\nQAPsByyqmhOQQBlieOVcd6VK/icW+PHHH/Hcc8+pxEHmmYPE+MpxpoSKa+QYeAYM+S81oOSbFo/m\n2xN1qD54vlXxnFUyEENRvgmOju3g7NQODotZnAzbYgUJkEDYEaABDrtHnjQD/kt5BksOZ8nt7CtN\noLcezJs3D7Vr1/ZWFadMYrbeifGN6twN6D8oTpuGb2RGfJfKzetNxPiePoYIP5JIeGuGZSRAAuFL\ngHvA4fvsE23kp06d0hHL3n77bb187G/Dhw4d8ml8xRNeZsfimJVQcS/+wbrxlZuombFz6YL4t1MJ\nHxznT9L4xifDEhIgAT8I0AD7AYuq8QmcOXNGG1+ZmdasWTO+goUSX1GuxENeMhxJUJaEiEc5dbnX\nb4C75ot+Xe7ctBbO/PkQcfE05HiRo84LcAzuj4gLpxDBJWe/WFKZBEggPgEuQcdnwhKLBM6dO6eN\n78svv4wXX/TPuMktXMq5SZJwmAVakZy+K1euTFCgDc++3+GaMQv4cgpw8pS1UTnVd9ISxeH8YgKc\nRYvoaxwqMEzEmBHWrqcWCZAACVgkQANsERTV4hK4cOGCNr61atVC3bp141ZafCfezmJcjaRUqVLY\nuNE/72KPysXr7vkJPGJ0T5yM71zl7WZZMsNR+wXgkYfhfO8dONQSM4UESIAEkpoADXBSEw7B9iUz\nUevWrfHkk0/i1VdftTxCt/I0lvO9EydOxPnz53H27FnTayUEpb/iKloaUDNffyTi918hs1wKCZAA\nCSQnARrg5KQdAve6cuWK9naWY0aNGjWyPCJZrq5YsaI+3+uxkMhAYjxLGFJ/JOpVFbjDT+OLkUNo\nfP2BTF0SIIFEI0AnrERDGfoNXVNBK9q1a4fSpUujSZMmlgcska2yqtjIEp7SivF9+umnIWeKU6jE\n9VbFtXUbMF2d27Uqkeq7Z9UnENnyA6tXUI8ESIAEEpUAZ8CJijN0G/tH5b6VCFeFChXSSTL8Gakk\nY7ip9matyOzZs7VDl8R5tiqe48fh8eXhLM5VGTIAlSrAUb0aHHnzwPncs1ZvQT0SIAESSHQCNMCJ\njjT0GpTIVBJ9SlJFfvjhh5YHuHfvXp2G8NtvvzW9JnPmzEifPj3Gjh2r95VNlW+rdK1cDc9LrwDn\nL9xWE+utMraOjm3hrPkMHA8+GKuCL0mABEggcARogAPHPijuLDPXzp07q4iMD+i9Xyud3rZtG8SB\nSqJbXVfJDIwkjfI2njt3rs7/nD9/ftx3331GqvHKdW5emfWuWx+vLk5BpvsReWB3nCK+IQESIAE7\nEKABtsNTsGkfoqKidD7fe++9V8+ArXRTjhXJuWBxuvIlgwcPRo0aNXypxat3qyVnd66H5SBxvLrb\nCxwrVPQrCgmQAAnYkAANsA0fih26JEEyJNuQRKGSYBkSCtKXWE2mIO1IewkJ3uFWx5fc2fP66sp/\n9Y9XREThwtZ0qUUCJEACyUyABjiZgQfD7eS8bu/evbWR7N69O5ziwBRLZG93+fLlSJkypTaimTJl\n0vl/ZQ/XVyYjMbwZlDOUhJZ80M/9WHG2cue1kJtXviw8/RQiFs2L1Wu+JAESIAF7EaABttfzCHhv\n5JjQp59+CvF67tu3L273Rl6yZIkOvnHx4kVd984772DWrFkYPXo0rl69atj/e1Ts5PLly+Oll17S\n53sLFixoqOutwq0ib1ma+WbMCOeMqXAqT2cKCZAACdiZAA2wnZ9OAPo2YMAAHaWqX79+iJSzsrFE\nUg5K6ElZnhaRPWIR8ZA2W6KWmfLMmTMTlClJ2ner88fuPAXkpbHICnm7NoiQ3LzKCFNIgARIwO4E\n4v6FtXtv2b8kJTBkyBCcPHkSYoTFaMYWiYAlsZujjW/suoMHD8Yz1tH14tksns4SOSsh4l6+Au7n\nXwKuGXtT63bnzECkxHOmkAAJkECQEIi7uRcknWY3E5/AyJEjIXl5ZeabKlWqeDeQme/u3d6P88js\nV+JCx45cJUeMJEXhihUr/Da+HjXDdv2wFFGPV4O7ugqW4cv4fvAejW+8J8YCEiABuxPgDNjuTygZ\n+vfZZ59p4zp06FCvaf/EKWv9euPztrK/KykFpZ2FCxfq87ydOnWCv/u8MlTX7O/gadkGOHXKWiaj\nTu0R2a9PMlDiLUiABEggcQnQACcuz6BrTTITbd26FcOGDYMkQIgtknJQ9n0lEIeRd7MsVY8fP15f\n1rx5c7/DVEbfz33kKNzl1TL1qdPRRb5/PleTxtc3JWqQAAnYlAANsE0fTHJ0a8qUKVi7di2GDx+O\ndOnSxbmlhI+UI0iHDx82NL5yQYsWLRKcDzj6hi61tO0pXCr6re+fcsyoTw9EdOnoW5caJEACJGBT\nAjTANn0wSd0tMbBLly7FqFGjIEvI0fL333+jTp06WLNmTXSR4U85H9yyZUvDel8VbnVsyV1P5RP+\n4UdfqrfqS5aAc/E8OLNkuVXGVyRAAiQQhARogIPwod1pl+fMmYP58+dDHK8kKEa0yDJzzpw5IWkH\nrUjZsmWRO3duK6pax6PODrvHT4RH7fPipjrCtHefcrCydi9kvBfOcWPgrKs8oikkQAIkEAIEaIBD\n4CH6MwQxvDNmzNAz39jJD7Zs2YK33nrLkvGV88HNmjXT+8ZW7+1Sx4k8deoDly5ZveQ/vYqPwvlx\nJzgqV4LjtmVy/xqiNgmQAAnYiwANsL2eR5L2ZvHixZg6daqe+Ur4yGiRveBGjRpFvzX8mT17dlSo\nUAGTJk2Kt2dsdJFn8xa4d+6Cp8l7RirG5csWIvLJ6sb1rCEBEiCBICZAAxzED8+frkuiBPF4HjFi\nBLJmzRpzqRwbevvtt2Pee3sh53zFSFevXj3Otd50pcyz73e4Jn8JzF8IqD1lnDlrpOq9PEUKYNRQ\nGl/vdFhKAiQQIgRogEPkQZoNY6VKEShndOWo0e0JEOrWres1ulV0e+Jo1bhxYx1UI7rM6Kfnzz/h\nmjYd6PkJVDBpIzXjckn60LkDIurWgaNEcWM91pAACZBACBCgAQ6Bh2g2BDlmJM5WEmZSHKxii2Q0\nkqQLRiJ5gCUC1rhx4+KouBcuhuebGUDaNHC2fB+OokXg/mEZ3O+1AA4fiaNr+iaVCncphvbmTUC8\nmwf3hzOWU5jptawkARIggSAnQAMc5A/QrPsbN26EJL2Xfw899FA81dmzZ8criy6oXbu2DsBRrly5\n6CJ4rl+Hq1FjYI5K86eiY4m4JkwCPv8MaNo8Rs/qC+ea5XCWLWNVnXokQAIkEFIEaIBD6nHeGox4\nNUtcZ0mskC9fvlsV//9qx44dkPy93kSWnb/7Th0ViiUelYzBVepRYP+BWKX//7KNCoiRPj1w+XL8\nuttLZJlZeTM7FnxH43s7G74nARIIKwI0wCH4uLdv344+ffrofL6PPPJInBFKCkGZEUuUK4nx7E3y\n588fp9ij4jK7SlcEjh+PUx7zRo4W3Za6MKZOXojRfaoanK81AO66C44K5eHIli2OCt+QAAmQQLgR\noAEOsSf+66+/okePHtoAFy5cOM7oxODKbPjIEfN92l6du8C9aDHc/1Mxno/9CRw8BKgZsKFIaEhZ\nSv5lk1qT/i9XsNaVlIaPPIyIdSvgkBkyhQRIgARIIIYADXAMiuB/sXfvXnz88cfaABcrVkwPSPL3\nSsjJS2qWOnDgQJ/Gt0aBgni570C4vS01GyFSxjdi6QK4atX5zwlLJXVwvFQbzqefBMqXg0MMMYUE\nSIAESCAOARrgODiC983+/fu105QY4FKl/ktscPDgQTRo0AAHDhzQ3s7XlROVkdSDEx+nTIPCew8a\nqXgvL18WEat/0kY2cuUy7zosJQESIAESiEeABjgekuArOHToEDp06ID27dtDlp0ld+/PP/+MXr16\nKb8oc8cotTuLnxCJSogAbqj4zP6I2s91/rwKDtnjpZAACZAACfhFgAbYL1z2Uz569Cjatm2LVq1a\n6fCQZcqUwZkzZ1QAKhWByoLsRAo8rGa/foksKZdTy84L59L4+gWOyiRAAiRwiwAN8C0WQffquPJK\nbtOmDT744AOcPXsWVapU8WsMtVOmxsM3PFAuVL4ls4odXbCA8maujogG9aAOFtP4+qZGDRIgARIw\nJEADbIjG3hUnT57Us96mTZvq40QSUtKKyBnfd3LnwRuXr6Hcmb99G99UqeAYOwoRbzWy0jx1SIAE\nSIAELBKgAbYIyk5qp0+f1sb3zTff1NmJYuf09dbPjKrwHocTxZ6ojG+PnkSEhIs0OAMcc/0DWYHH\nKiLik55wqKNEFBIgARIggcQlQAOcuDyTvDVZam7dujXq16+v4zRLtCsjUQeA0C4iJSqrPd40Kq5z\n2pXrjVTjlufJg8g/dsct4zsSIAESIIFEJUADnKg4k7ax8+fP65nviy++iDp11JlbJZLhKFoyqBft\nlDdzdWVwZdabLSISqV0S7Ur9O2vNKUvacm75WX5QSIAESIAEkpCAn+6vSdgTNm1K4OLFi9r4VqxY\nEfPnz0ehQoX0eV/xeBb5UBndY0gJlcwPZdTrPOrff8bXtNm4lSoTkfPofmYkikuF70iABEggSQhw\nBpwkWBOvUVlybteuHRYtWoQsWbLgq6++gkOFfvR4PDE3+UYZ3brqLG+C5f/aO/MYK4o0gH+PIZzD\nDXJrXPAAYYzghQeKiTA6sCu74q0Rd5UZhcQLNcSsIxpwRYhXYgZdgYwiCqhEUBAE9A+PdY0oCios\nhzcoOIojiDK19bW+Y94x8xxm3qvu/hUZurq7uru+31evv67rq25dJTL1n1JQek2Db8GFEIAABCDw\nxwgcxFv7jz2I1H+cwPz58+XSSy+NXRit7SYa37/Yft6/qRONhgTrnzky7zFpVjxSIq1bN+QOXAMB\nCEAAAg0k4JwB1tV61HuTLgYf5qCONR544AEPwSH2/yJraKvsdocYecjWdgfYfa0DH2q3+q/eoN6q\n+veTSOnVvy2sYGvTzS6/BMNbLzgSQAACEGgaAk4Y4P3790t5eblUVlbaFe++8JpX21iH/rqIvHp5\nGj9+fNNI7+hd33zzTc/49rT5+6vty51qDa46idQO+47W2Br7L2p04w3RaYQpbCtiRzTbrxlpNuHv\nEik5RyLt26dJyCEIQAACEMg1AScM8KRJk0QdSyxbtszaiz/ZJWPbeqv3bNiwwRt4tG/fPikrK8s1\nm7w97+KLL5ZR1sSeYU3u5KS+3UTjqxnMWPcdOkQKVrwgkS5d8iYHD4YABCAAgcwEnDDAulyeLiDQ\no4d1/vB76NChg+dkQpthdX3boBpgXS7w2XnzZJddc7fX4EFy2tlnS99t27zFEXRKUXKI1nyTjyfv\nN/8vU4mSmbAPAQhAwCUCThjgQYMGyZo1a0Rrfslh6dKl0q2b9UMcwKCDqW7sd4RM+OwrKag5IIW2\nPntmi4iMtYZXpxNlZWx1YQTbhB8LLVtIZOFTsV0iEIAABCDgJgEnDPDUqVPlkksu8ZxK9OvXT9rb\nfkqd97px40bRQVk6BSeIYf4tt8nM7V96oh2w5naqHJDRdnGEKbbZuVnmxmUR659ZtH/XjlyOjDpb\nIuf9WczCxSK237zZP8ZLxDY/EyAAAQhAwG0CThjg4447Tt59912vGXqbbX7V/mCt9Wqz8/Dhw715\nr25jbFjuujy3xLuwxg6qmmaNrw600gFXWvdNG3r3koIFlWLhiNn8P4l07iSRYSf/lnT0uWkv4SAE\nIAABCLhJwAkDrGhatWolI0aMSKH08ccfy08//SRqpOsLOor62WefTZvs/ffflweKS2T55Fti59st\nWCSRA/FF6H+40C6z1zze79rU54/+/EtvRPO/rPGttrkae/nl8o7Wbn8PQ+dUSoHtI9aRzpHDDpPl\nD8+Umt3WpaT+2VBsa7q2AToWtLm+JmGRheLiYmmhTdS/B87Dh/Khrll/C/w+eD8kvh+j5SKX24jt\nh6xzJksuM5PuWXfffbds375dHn300XSnax3T0dL6ly4sXLhQ9u78Rs4995zY6a6d1WNyPOz+rkpq\nTPwH2tTnW73+psyZOEnUnE6z9d79WrO183WN/QiosT6cO369Q704S7NBx0jBu2/Jzl27ahnYnj11\nolI87Nhh0ycYYM7DJ1467Bxyyge/D94PsZ9E9P2oU13V4dGQIbnvunPeAMdoHWTk6aefFl3MoLS0\n9CDv1HiX60IKnyxaLHf+Z538UmB7fW0fbuGse6XdxRdKzex/25rubomceII0O2dU4z2UO0EAAhCA\nQIxAPg2wM03QURph8YT18MMPy6ZNm2TWqpXSqsr6uNLVinp0l4itBWsomHRtFAlbCEAAAhAIIAEn\nVkNST1hTpkyRvn37en2WnW3TsDrj0OlJc+bMCRz22bNny/r162XGjBl2ILMdyWybkiN2DnDU+AZO\nYASCAAQgAIEUAk7UgMPkCWvu3Lny1ltvyf333+99ZKRohAMQgAAEIBAKAk7UgNUTVkVFhRQVFUlh\noXVHYZfbS/SE9fzzzwdCGbq6kTocmTVrlrSzKxERIAABCEAgvAScMMBRT1jp1BAUT1g6ClsdiujA\nK/24IEAAAhCAQLgJONEEHXRPWM8995zo34MPPijav02AAAQgAAEIOGGAg+wJS1d4WrBggTz00EPS\ntWtXShwEIAABCEDAI+CEAdacZPKE5Wc9rVixQnTQldZ8DznkED+LQt4hAAEIQKCRCThjgBtZrrzf\nbvXq1Z73Lh3tHPW4kvdMkQEIQAACEHCGAAa4CVTx2muviTra0AFXffr0aYIncEsIQAACEPA7gdC4\noly3bp2UlJRktajDwShVF47YZX02d+/evdZCCHXdU/O2Z88ead48fN9D1dXVoZwP/csvv3h+iVsm\nLL5RVxkJ0jnVeRvrdlWnG4YpqNv9vXv3erKHSW6VVX30H3nkkdK7d2/nRN+yZYusXLkyL3kLjQF2\nTusJGSovL/dWgjrjjDMSjoYjeuaZZ8ratWvDIWyClDq9Tlf6Uj+0YQtjxoyRp556ypvzHybZv/rq\nK0/f6g8gbOHOO+8Ufb/p750QJ+DEPOB4dohBAAIQgAAEwkEAAxwOPSMlBCAAAQg4RgAD7JhCyA4E\nIAABCISDAAY4HHpGSghAAAIQcIwABtgxhZAdCEAAAhAIBwEMcDj0jJQQgAAEIOAYAaYhOaCQ7777\nTlq3bu2543QgOznNgk7NCKOnMJ0vrnOBw7gy1o4dOzzXrGGbB3zgwAHPR0AY3dJWVVV57zd1OUyI\nE8AAx1kQgwAEIAABCOSMAE3QOUPNgyAAAQhAAAJxAhjgOAtiEIAABCAAgZwRwADnDDUPggAEIAAB\nCMQJYIDjLIhBAAIQgAAEckYAA5wz1DwIAhCAAAQgECeAAY6zIAYBCEAAAhDIGQEMcM5Q8yAIQAAC\nEIBAnAAGOM6CGAQgAAEINAIBdTJDqJ8ABrh+Ro2SQr1dXXDBBXLEEUfI4MGD5fXXX09732zTpb3Y\n0YNr166V0047TQ4//HAZO3asqIzpgi7SftZZZ8mxxx4rl112mWzcuDFdMl8dmz59uhQVFXmya7y+\ncM0118iECRPqS+b8+WzLsaa76KKLZODAgXLiiSfKE0884bxs9WUwW53rIvUnnHCCnHzyyXLffffV\nd1vfnNff8bBhwzLmN9uykfEGQTphCDkhMG7cOHPXXXeZmpoas2bNGtO9e3dj3RGmPDvbdCkXOnrg\nm2++MdbVpHnvvffM/v37zQ033GDGjx+fklvrktJj8vXXX3vnHn/8cTNy5MiUdH468Mwzz5hTTz3V\nWDd8RuWzHxbmxRdfzCjC0qVLTefOnY01whnT+OVEtuW4tLTUTJkyxRPLuqg0Rx11lNm5c6dfxEzJ\nZ7Y6X7FihbHG1/tN7Nu3zxx99NHmjTfeSLmfnw7s3r3bXHfddaZbt25myJAhGbOebdnIeIMAnZAA\nyeK0KO3atTO7du2K5XHo0KHm5Zdfju1HI9mmi6Z3ffvSSy8ZW6uNZXPLli3G+j+O7UcjX3zxhXn1\n1Veju+add94xhYWFsX0/Rq666irzyCOPxLJ+zz33mKuvvjq2nxj59ttvja0JmTvuuCMQBjibcvzr\nr7+ali1bmu+//977GP35558Tkfgynq3On3zySXPSSSfFZLStJGbx4sWxfT9GFi5caCZPnux9ZNZl\ngLMpG36UvyF5pgk6B80Z2uRiXy5iazexp/Xo0UPsl35sXyPZpqt1keM7n376aa3FFmzNX+wL1+OR\nmPVevXrJ8OHDY4dmz54tJSUlsX0/RpJlV53rQgTpQllZmZSXl4v96Eh32lfHsi3HtrVD7MtY7r33\nXrG1Jm9hCtW7n0O2Oj/vvPOkd+/ecvrpp8spp5witgbs+/J+/vnne7rUhWUyhWzLRqbrg3YcA5wD\njdqar7Rt27bWk7SQ/vjjj7WOZZuu1kWO7yTLFP1x6mpAmcJjjz0mL7zwgu/7xZJlb9OmjVRXV6eI\nPX/+fG81rFGjRqWc8+OBZLlVhnTl3XZPiG22lM8++0w+//xzsTUoufXWW1M+zvzEIFn2TDrfvHmz\nfPLJJ17ft44L0bhyCHpI5qPypisbQecQlQ8DHCXRhNuuXbvKDz/8UOsJuq+1vsSQbbrEa1yPJ8u0\nZ88eb1myTp06pc16RUWF3H777bJq1Srp06dP2jR+OZgsezqd6wvp+uuv9waf2T5gb+DZ9u3bxfYH\n+kXMlHwmy60J0snesWNHsWMixPYBi8ZHjx4ttg9YbNdMyj39ciBZ9nRyqyyzZs2SMWPGiJb3efPm\neTVhPRb0kMxH5c3EKOgsVD4McA60rC8X/crTr/xo2LZtmxx66KHRXW+bbbpaFzm+o0ZUZY0Gjfft\n2ze6W2urLyJthlXjO2DAgFrn/LijsqsxjYZ0sus6qf379/dexNOmTZNXXnlF1q1bJ5WVldHLfLfN\nthzrOtAFBQVeM3RUyBYtWkhdrSPRdK5us9G55l2bqnX0czToaOjE30n0eNC22ZaNoMmdUZ6GdBxz\nzR8noIMzJk2aZOz8OLNo0SJv1KOOCtago6J1tLCGutJ5CXz2n47wtAuQG2tUjcavuOIKc9ttt3lS\n6KjJlStXenEdnGWb6Y2dsuQNVrM1w1qD1nwmtpddHYCmg2t0gNnWrVuNNbTm7bff9s5t2LDBrF+/\nPkWsGTNmBGIQVl3lOLG864jY6CjoDz/80NgPVWONUwoXvxzIVue2r9vYPlNvVoTOhrDdD8Z+gPpF\nzDrzqfpNHoSVqPO6ykadNw7gSUZB50ip+gIeNGiQsc3Opl+/fkYLZDTolKRly5Z5u3Wli6b321an\nZuiIZjvoxIwYMcLYZmhPBB31bPvIvPjNN99s7Fdiyp/tM/WbuLH86pQznXJlv/qNHYDljXCOnpw4\ncaK58soro7uxbVAMcF3lOLG8q7G183+N7Qc1Xbp0MXPnzo2x8GMkW53bZlejU7D0A01lv/baa42f\ny3qirtIZ4ESd11U2Eu8ThnhEhcxYPeZEoxPQgSc64rO+kG26+u7jynk75US0/zdT368r+WyKfGgf\nl51u4/01xf1dvme25Vj7wrV5UpukgxCy1bnOjohEIqJN72EL2ZaNIHPBAAdZu8gGAQhAAALOEmAQ\nlrOqIWMQgAAEIBBkAhjgIGsX2SAAAQhAwFkCGGBnVUPGIAABCEAgyAQwwEHWLrJBAAIQgICzBDDA\nzqqGjEEAAhCAQJAJYICDrF1kgwAEIAABZwlggJ1VDRmDAAQgAIEgE8AAB1m7yAYBCEAAAs4SwAA7\nqxoyBgEIQAACQSaAAQ6ydpENAhCAAAScJYABdlY1ZAwCEIAABIJMAAMcZO0iGwQgAAEIOEsAA+ys\nasgYBCAAAQgEmQAGOMjaRTYIQAACEHCWAAbYWdWQMQhAAAIQCDIBDHCQtYtsEIAABCDgLAEMsLOq\nIWMQgAAEIBBkAhjgIGsX2SAAAQhAwFkCGGBnVUPGIAABCEAgyAQwwEHWLrJBAAIQgICzBDDAzqqG\njEGgcQls3bpVBg8eLJs3b/ZuPGfOHBk3bpwYYxr3QdwNAhDIikDE/vj49WWFikQQ8D+BG2+8UTZt\n2iQVFRVSVFQky5cvl+OPP97/giEBBHxIAAPsQ6WRZQg0lEB1dbUcc8wx0r59eykpKZHp06c39FZc\nBwEIHCQBmqAPEiCXQ8BPBNq2bStlZWXywQcfyMSJE/2UdfIKgcARoAYcOJUiEAQyE6iqqpKBAwd6\nfz179pTKysrMiTkDAQg0KQFqwE2Kl5tDwC0CN910kxQXF8vixYtl1apVXh+wWzkkNxAID4Hm4REV\nSSEQbgKrV6+WJUuWyEcffSQdOnSQmTNnSmlpqdccXVhYGG44SA+BPBCgCToP0HkkBCAAAQhAgCZo\nygAEIAABCEAgDwQwwHmAziMhAAEIQAACGGDKAAQgAAEIQCAPBDDAeYDOIyEAAQhAAAIYYMoABCAA\nAQhAIA8EMMB5gM4jIQABCEAAAhhgygAEIAABCEAgDwQwwHmAziMhAAEIQAACGGDKAAQgAAEIQCAP\nBDDAeYDOIyEAAQhAAAIYYMoABCAAAQhAIA8EMMB5gM4jIQABCEAAAhhgygAEIAABCEAgDwQwwHmA\nziMhAAEIQAACGGDKAAQgAAEIQCAPBDDAeYDOIyEAAQhAAAIYYMoABCAAAQhAIA8E/g9TBDAjNLRF\nQQAAAABJRU5ErkJggg==\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -i P\n",
"plot(ecdf(P[P<1]))\n",
"plot(ecdf(P), col='red', add=TRUE)\n",
"abline(c(0,1))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"P = []\n",
"for _ in range(50):\n",
" P.append(simulate(p=80, check_selection = lambda z: z[0] < np.min(z[1:])))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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IgARIIAUCVMApwOElEiABEiABEvAUASpgT5FluSRAAiRAAiSQAgEq4BTg8BIJkAAJkAAJ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\nY4QZ0u+//44dO3boNR2x65P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z5sSf84AESMD7BOLi4jB69Gjs2bMHEydOpJmR97uANfqY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\nfQAAAABJRU5ErkJggg==\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -i P\n",
"plot(ecdf(P[P<1]), xlim=c(0,1))\n",
"plot(ecdf(P), col='red', add=TRUE)\n",
"abline(c(0,1))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"P = []\n",
"for _ in range(50):\n",
" P.append(simulate(p=80, check_selection = lambda z: z[0] < np.max(z[1:])))"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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CJEACqRCgAKcCh5dIgARIgARIwFwEKMDmIstySYAESIAESCAVAhTgVODwEgmQAAmQAAmY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\nogAAAABJRU5ErkJggg==\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -i P\n",
"plot(ecdf(P[P<1]), xlim=c(0,1))\n",
"plot(ecdf(P), col='red', add=TRUE)\n",
"abline(c(0,1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## LASSO with $\\lambda=1$\n",
"\n",
"This is a case where there is more than one surface which Shimo's paper doesn't seem to consider (at least on my reading)."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"P = []\n",
"for _ in range(100):\n",
" P.append(simulate(check_selection = lambda z: np.fabs(z[0]) > 1))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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lc0mABEiABEggFgJUwLHA4SUSIAESIAES8BUBKmBfkeVzSYAESIAESCAWAlTAscDhJRIg\nARIgARLwFQEqYF+R5XNJgARIgARIIBYCVMCxwOElEiABEiABEvAVASpgX5Hlc0mABEiABEggFgJJ\nYrkWcpfmzJkjd+7cCblxcUAkQAIkQAKJI5A1a1apWbNm4m6+z7sMq5L7fEZQ3D537lwZM2aMNGvW\nLCj6y06SAAmQQLgSuHnzpsyfP1+yZcsm1atX9ymGiRMnyqxZs6Rs2bI+bcfTw8NmBoyZ7+uvvy6t\nW7f2xIFlJEACJEACJiBw8eJF6datmzRq1EjatGnj8x7t379foqKifN6Opwa4B+yJCstIgARIgAT8\nTuD8+fPSsWNHqVixol+Ur98H6NJg2MyAXcbNUxIgARIgARMR+O+//6RTp05Sq1Ytadq0qYl65ruu\ncAbsO7Z8MgmQAAmQQDwInD59Wtq3by/169cPG+ULLKZTwNirxTIEhQRIgARIIPQJnDhxQivfF198\nURo3bhz6A3YYoSkU8K1bt6R3796SJ08eSZYsmWTMmFEeeOABKVWqlMyYMcOhuzwkARIgARIIFQL/\n/vuvdOjQQc96n3/++VAZVrzHYYo94Hbt2snJkydl0aJFUqBAAa18L126JLt379Yb8jdu3AiLDfl4\nvzVWJAESIIEgJ3DkyBHp0qWLtGzZUmrXrh3ko0lc900xA166dKlMmTJFypQpI6lTpxbDMCRdunRS\nqVIlmTBhgvYHS9zweBcJkAAJkIDZCBw4cEAbXL3zzjthq3zxTkyhgLHUvHLlSo+fkYULF0qWLFk8\nXmMhCZAACZCAuQns/fNP+X3ml3J++QqxqtXMffv2aT9fWDwHKgKVWYiZYgl60KBB0qRJExk3bpwU\nLFhQ0qZNK3DG3rNnjw4duXjxYrPwYj9IgARIgATiSaB3p85SdcqnUuLWbbkYGSlHxSoD6vxPevTv\nr1c44/mYkK1mCgVcrlw52b59u2zcuFEOHz6s94Mx60UUlGrVqukl6ZB9AxwYCZAACYQggbFjx8qL\nEz+WEirKVBIxZIdSvgMlUrocPCqPBSDsoxkRm0IBA0yKFCmkRo0aboywXHHt2jWBko5L1qxZI7/+\n+qvHamvXrtUxRVetWmW/XrVqVUmSJBoB7ncMScbr5MPPB///sP3B4N+HhP19XLBggTwbFamUr0W2\nSZT0zpJB3ilcVNIpL5cV3XqIceiwqGQENrxyo0QxESN6VzT57j1+uZ7lxHGRV1+198OfB9H/d/mz\n1QS0NXv2bIG13LRp0+K8K3v27FK6dGmP9TZs2CBw9k6fPr3H6yjENUcF7FqR18mHn4+YY+by/w/+\n/+H4/wdcSZF7brNSviPUzLdnxixS5MYtuXn2nCQrVVKSV3xUzYujJSp5MjVHji5J7afrV9ati+6E\nn4/CJhsSNvzh6vT111/7GTGbIwESIIHwI9CvXz858f5QOanU6nA1Dy6mZsKRULEq3kPSw/vVZDd6\nthtIOnCFelXNgB9++GG/d8McBPw+bDZIAiRAAiTgKwKIZjh69Gj5VM1+H1eK9wE1sz2ojn9Ok1pu\nbV5nGuXrq/HH97lUwPElxXokQAIkQALxIvD999+L5d4Mt6ea9xaQW1JUbkvnLOnlrHJFotwlYIo9\n4DFjxsjt27djfCfFihWTBg0axHidF0iABEiABMxBAG6j8+fP10GVYEDrKJgZI8gS5S4BUyhguB59\n8MEH0qxZMx2G0vXlMBCHKxGekwAJkID5CMDyedasWTq+s2tsZ0Q4HDp0qGTIkMF8HQ9Qj0yhgCdN\nmqStj2FB9+GHHwYIBZslARIgARJILIE5c+bI3LlzZeLEiXoydeXKFadHJU+eXPBDiSZgmj3gESNG\nCBIwuL606K7yiARIgARIwIwEvvrqK73sDOWbLVs2uXz5sls3b968qf/Gu10I4wLTKGAkYcDSBX5T\nSIAESIAEgoPAZ599JkuWLNEzX9t2IWI824ywHEdRuXJlx9OwPzbFEnTYvwUCIAESIIEgJIAASYg+\niJmvzbgqUsV8xlaiY1AODK1IkSLximgYhBgS3WXTzIATPQLeSAIkQAIk4HcCULJbtmyR8ePH25Uv\nOgGjWiTUcRUsQR86dMi1OKzPOQMO69fPwZMACZBAwglA6e7fv19nsEPISUdBXP+IiAjHIn0MV1Nc\no0QToAKOZsEjEiABEiCBWAhYVfIERLg6evSoIH5DypQp3WrnypXLrQwF+fPnlzwqDCUlmgAVcDQL\nHpEACZAACcRAAHu6w4cPl7Nnz2olHJNL0YoVK3TiG9fHQAFTnAlQATvz4BkJkAAJkIALARhWvf/+\n+3L16lWthJMlS+ZSI/r0n3/+kevXr0cX3Dvau3evW1m4F9AIK9w/ARw/CZAACcRC4M6dOzJgwAC5\ndeuWjmQVm/LFYzJnzuxxrxflFGcCVMDOPHhGAiRAAiRwjwCUbt++fbVR1aBBgyRJkrgXTX/55Re5\n4ZJwAYZaM2bMIFcXAlTALkB4SgIkQAIkIAK3oV69eungSJgBe7JsduV08eJFQVQsLFk7Svr0KguS\n2jumOBOgAnbmwTMSIAESCHsC2MPt3r27ZM2aVfr06eMxqpUnSFDaqVKlcruERAyumZHcKoVhARVw\nGL50DpkESIAEYiIAQ6uuXbtKvnz5pEePHgLlGV/JlCmTx/3fkydPSvHixeP7mLCpRwUcNq+aAyUB\nEiCB2AkgiULnzp21ssTvhMrq1atlz549TrdBgcNnmHH+nbDoEypgdyYsIQESIIGwI4D9206dOkn5\n8uWlbdu2iRr/woUL3e5D8A7Ei6a4E6ACdmfCEhIgARIIKwLnzp2T9u3bS9WqVaVVq1aJHnuaNGk8\nLll7ig2d6EZC6EYq4BB6mRwKCZAACSSUwJkzZ7TyrV27trzxxhsJvd2pfpMmTTxaS2NPmeJOgArY\nnQlLSIAESCAsCJw6dUo6dOggDRo0ECjP+5VPP/3U7RHwAd60aZNbOQtEqID5KSABEiCBMCRw7Ngx\nPfNt3LixvPjii14hsHv3bkHkLEeBVfWBAwcci3h8jwAVMD8KJEACJBBmBJDNqGPHjtKsWTN57rnn\nvDb6okWLuvkMwy+YiRg8I447rpjn+1hKAiRAAiQQhAQOHTok3bp1k9atW0utWrW8OoLSpUsLsiY5\nCqygX3jhBcciHt8jwBkwPwokQAIkECYE/v77b+nSpYt2M/K28gXC8ePHu5FEzuBly5a5lbOAe8D8\nDJAACZBAWBBAOkDMfKGAq1ev7pMxu+7/ohEkdGAYSs+4OQP2zIWlJEACJBAyBHbt2qUTK/Ts2VOq\nVKnis3HVr1/fbQ/4ypUrUrlyZZ+1GcwPpgIO5rfHvpMACZBAHAR+//13nVIQaQUrVqwYR+37uwxr\nZ+z5OgryAFssVDWOTGzHpGIjwd8kQAIkEGIEtm7dKgMHDhTk8kWISV/Ljh073BTw7du3ZfPmzb5u\nOiifTyvooHxt7DQJkAAJxE5g48aNMnLkSBk6dKiUKFEi9speuopQlK6CPMLJkyd3Lea5IkAFzI8B\nCZAACYQYgbVr18q4ceNk+PDhAt9cf4mnXMAwwqpTp46/uhBU7XAJOqheFztLAiRAArET+OWXX7Ty\nHTVqlF+V74YNG2Tnzp1OncuozsZlziaW9p0l8suvna7xhG5I/AyQAAmQQMgQWLp0qXz00UdaARcs\nWNCv4zp9+rTT/m9q1foaSSpNDv8r1snTxNqyjUTWb+DXPpm9Mc6Azf6G2D8SIAESiAeBRYsWybRp\n03QwjHz58sXjDu9WyZ07tyDxgk0mqR3OgmJIMlvBjRti3bxVohb/bCsJ+9/cAw77jwABkAAJBDuB\nefPmybfffisTJ06UHDlyBGQ4JUuWlBMnTtjbflAp3yTqx0nOnhXr0X+cisL5hDPgcH77HDsJkEDQ\nE/juu+9kzpw5AVW+gLh48WJJly6dnadStfo/ewEO1AzZyJbVqSicTzgDDue3z7GTAAkENYGZM2cK\n9n0x882UKVNAx3Lz5k3BDySl+qmtst0arjNgQ5XUr6vr8B8aYfEzQAIkQAJBSWD69OkCi2czKF8A\n/Oeff3TcZxwXUIpXmWTh0FkyKbtolYeYcpcAZ8D8JJAACZBAkBGYMmWKbNmyRRtcOS77BmoYCHeJ\nONM2uaKUb1rX2S8uXruml6Ft9cL9NxVwuH8COH4SIIGgIjBp0iRBcgWk/kudGs4+gRf4ACPesy0X\ncE21/JzCU7eeqS9GVu4B29DQCMtGgr9JgARIwOQExo4dK0griChXZlG+QAb3oxQpolXuyxKh9oFd\nLKAtav+30mMmJ+zf7nEG7F/ebI0ESIAEEkwAGYZGjBih3XzGjBnjpOwS/DAf3FCrVi1xzAV8y9P+\nb4RSNyouNCWaABVwNAsekQAJkIDpCERGRuqEChcuXBCEl0yWzB7awjR9RapDZD2yCZyRYILlNAdW\n1y31GRPaxgi/qYAdafCYBEiABExEAMoXqQTh3oPECkmTJjVR76K7cvz4cXsYypyq+EHtghR9XR/l\nVFdUYgZKNAHuAUez4BEJkAAJmIYAZpT9+vUTKOEhQ4aYVvkCWKlSpdTq8t3l5VRq3nvT0xJ0UjXf\nu37DNHzN0BEqYDO8BfaBBEiABBwIIIVfnz599F7ve++9Z1duDlVMdfjYY4/pLwro1GGlfDM7Lz7f\n7et//4nky2uqfge6M1TAgX4DbJ8ESIAEHAjcUEkL4FObPn16wd6qbWbpUMV0hx9//LG9T/XV8nOk\n/czhQFlAGybcv3bood8PuQfsd+RskARIgAQ8E7h+/bp0795d8ubNK926dfNcyYSlmLHbJIM6iM6J\nZCtVv8+ddzjhIQhwBszPAQmQAAmYgMCVK1ekS5cuUqhQoaBSvkCHfWqbRB/ZStRvFaTDKFLIoYCH\nIEAFzM8BCZAACQSYwKVLl6Rz587amKlDhw4B7k3CmkcaRITFhMBBaohyrnFLQ6gMsIyhg3Ud/hNN\ngAo4mgWPSIAESMDvBODfC6X76KOPyjvvvOP39u+3wZ9//tkehAP+v9c8WUBnVmZZZ87cb1Mhdz8V\ncMi9Ug6IBEggWAj8pyyD27dvLzVr1pS33norWLrt1M/MUK4qzSBEpVrwnIThqrqSEbvDFEcCplXA\nCOqNPREKCZAACYQigTNqRgjlW79+fWnatGnQDrFly5b2IBwVlftRZk8jqVJJjIIFPV0J6zJTKGDs\nf4wePVqeeeYZWblypSxYsECyZcsmOVXklFatWlERh/VHlIMngdAjcPLkSWnXrp00bNhQGjduHNQD\n/Oyzz+yuUnWVWZFKueA2HiONObI2uXUswAWmUMAIsbZ582apV6+e3guBDxyU8OHDh3WC59mzZwcY\nE5snARIgAe8QOKYS0mPm+9prr8kLL7zgnYcG8ClHjhyxW0FfUv2I8rQHrHyaKe4ETOEH/MMPP2gF\njJRWp06dkrNnz0qlSpV0b3v16qWtA5s3b+7ee5aQAAmQQBAROHr0qP57hv3eOnVCIzFBunTp9B4w\nMjb9odWve8Yj49XgnuX76iNmihlw8eLFZdmyZXLx4kVZs2aNbNu2zT7eHTt2yMMPP2w/5wEJkAAJ\nBCOBgwcPSseOHbWlc6go37/++ksQBQvKF9JI5QGOcF2CVivS1q3bg/GV+bzPppgBw/n8zTffFHxA\nsTRz+fJlgVJ+6KGHZN26dbJq1Sqfg2ADJEACJOArAvv379fhJaGAq1Wr5qtm/P7cTz/91KnN5E5n\n906gmx0iZXmqEq5lplDAWG7evXu3nDt3TjJlyqRTby1ZskTgHzdjxgxJmTJluL4fjpsESCDICeBv\nGxIrIMSkbWstyIdk7z7iVjvKb2oJuoEHQyzjqVqO1Xh8j4ApFDD6Aj8yKF9I8uTJ5dlnn9XH+/bt\nk2vXrkm5cuX0eWz/wJoas2dPApemO3fueLrEMhIgARLwCYGdO3fqlIJQwI888ohP2gjkQ2E4O2nS\nJIHbKORFvQDtYgWdNq2IMtSSsmUC2VVTtm0aBRwTHVhAw8pu2rRpMVWxl//000/y448/2s8dD7Zu\n3So5cuRwLOIxCZAACfiMwG+//SaDBg2SgQMHStmyZX3WTiAfDPdR2/4v+pHUU2ci1cTn6lVPV8K+\nzPQKGOm44ivwp4vJp65Tp04C3zsKCZAACfiaANwqhw4dKoMHD5bSpUv7urmAPf/AgQNOChhL0MXU\nErSTda9awTTKPhSwPpq5YSdOZugolonPnz9vhq6wDyRAAiSQYAIbNmyQYcOGCeIbhLLyBZi0WF52\nkKKuyhfX0qoI0cq+h+JOwBQKGLkke/fuLXny5JFkKmFzxowZBT7BpUqV0kZY7t1mCQmQAAmYj8Dq\n1at1VL+RI0dKsWLFzNdBL/coIsLZ59dZHd9rTKUqtJ5mIgZP6E2xBI2QbFgeXrRokRQoUEArXxhU\nwXoQZvuwtGvTpo2n/rOMBEiABExBYPny5dondsyYMZI/f35T9MmXnYCLKFxHHeW644ntWNlkGbly\n2s7424GAKWbAS5culSlTpkiZMmUkderU2iIa0VVgsj9hwgSZP3++Q5d5SAIkQALmIgADUPwNGzdu\nXFgoX9CH26gtCxLOi6gAHKVcg3Dggorrb1R8FEcUFwKmUMBYakYSBk+ycOFCyZIli6dLLCMBEiCB\ngBNA3HokJBg/frzkzZs34P3xVwcKFy7sZIBVUilf5q9LGH1TLEHDVL9Jkyb622NBlbIKG/sIS7ln\nzx7tu7t48eKEjYq1SYAESMAPBObMmSP4wUpd9uzZ/dCieZpAGMqbN2/aO3RZJWHwGGnBZZ/YfgMP\nxBQKGEE2tm/fLhs3btQZkLAfjFkv9n0Rts1xmYPvjARIgATMQODrr7/WdisIRBGOq3QfffSRDpJk\nexe7lQLO7GkJulpVWxX+diFgCgWMPqVIkUJq1Kjh0j2ekgAJkID5CHz++eeyYsUKmThxovbaMF8P\nfd8j18iCVZQL0hWlhJUVj3Pj235zPueZnYBpFLC9RzwgARIgARMT+OSTTwS+vpj5wlg0HAWuo//8\n84/T0OGC5DEZg8XZVcnppjA/oQIO8w8Ah08CJBB/Aki9hxCT2PNNkyZN/G8MsZrIWocQwTYBicme\nAlHCq6VNK1s1/nYhQAXsAoSnJEACJOCJAJTu3r17tbUzAgWFsyBnu6MBFjIgXVPLz6lcl59z55SI\nN5uFM6pYx04FHCseXiQBEgh3Akg2gKQDR48elbFjxzI9qvpAuBqdYek5mavyxQcnQwb8S4mBgCn8\ngGPoG4tJgARIIKAEkGYPMZ2PHz8uo0aNovK99zaqV6/u5J0CC2gX0ysRi0WMp54M6Psze+OcAZv9\nDbF/JEACASEQqWIYDxkyRJBLfMSIETpOfUA6YsJGsRLgmIawjcoD7DabUwpYcuc2Ye/N0yUqYPO8\nC/aEBEjAJATgYoM8vpgBQwknTeox061Jeuv/bqRKlcqp0axq/us2A1YM5dRpp3o8cSbg9qXF+TLP\nSIAESCC8CMDFpl+/foJMP8jnS+Xr/v5z5crlVLhZ5QGOUsvQTqL4GeXLOhXxxJkAFbAzD56RAAmE\nMQFY9iI1KmZ4AwYM0Eo4jHF4HPr169e1H7TjRSw0u82Bk6oFVoahdMTkdkwF7IaEBSRAAuFIAIql\nR48ekjlzZunbt6+yIeKfR0+fgy1btkjWrFmdLhVQO8BuS9A3bor1ULSvsNMNPNEE+AnjB4EESCDs\nCVy9elW6desmefLkkZ49ezpZ+IY9HBcAnmLzZ1Z1XBagRUUqESMj3ZBc8Dmd0gjLCQdPSIAEwo0A\nrJy7du0qJUuWlHbt2oXb8BM8XuRtv3Tpkv0+BOHI774ALaKUr9HweXs9HrgT4AzYnQlLSIAEwoQA\n0p527NhRkJGNyjd+L71///4CFy2b1FcKOKn7ArRIdWayszGK6TcVcExkWE4CJBDSBM6dOyeIaVyl\nShVp3bp1SI/Vm4PbunWrUxjKc2rx2c0CWjVoqJSylNgJUAHHzodXSYAEQpDA2bNnpUOHDlK7dm1p\n3rx5CI7Qd0PKnj2708PXKvXrwQRLjLpPOdXjiTsBKmB3JiwhARIIYQKnTp3SM99nn31WmjRpEsIj\n9c3QmjVr5mQhXkdFwfIk1hUrPRWzzIEAFbADDB6SAAmENgHEdMbM96WXXpJGjRqF9mB9NLqRI0fq\nCGG2xyMPsEcx3ByTPFYL50Iq4HB++xw7CYQRASSQh/Jt2rSpNGjQIIxG7t2hwmXLJhnVwSsxzIAt\njfkFx8Yppt9UwDGRYTkJkEDIEDh06JB06tRJWrVqJfXr1w+ZcQViIJUrV7b7SXdWyteTAZY8U0+M\n0qUC0b2gapMKOKheFztLAiSQUAJ///23dOnSRd59912pVatWQm9nfRcCmAHbMiFlUu5HHg2w0qV3\nuYunnghQAXuiwjISIIGQILBv3z4d4apz585So0aNkBhToAexYcMGexd2qvmv2wzYoqJCP13XXocH\nMROgAo6ZDa+QAAkEMYE///xTx3ZGaMmqVasG8UjM1XXH7FAtdB5gF2Or5CnEyJXTXJ02aW+ogE36\nYtgtEiCBxBP4448/pE+fPjqtYMWKFRP/IN7pRqBIkSL2shT2I4eDZEnFeu68QwEPYyLAWNAxkWE5\nCZBAUBLYtm2bzuP73nvvyUMPPRSUYzBrp7GfvnjxYnv3rtmPHA5u3xEjDxIUUuIiwBlwXIR4nQRI\nIGgIbNq0SSvfIUOGUPn64K3t379f0qa96/lbSBlglfAUAzp3TjHKlfVB66H3SM6AQ++dckQkEJYE\n1q1bJ2PGjJERI0ZI0aJFw5KBrwedPn16SZ48uW6mmFK+V9QRfIGdRM2AKfEjQAUcP06sRQIkYGIC\nK1eulEmTJsmoUaOkUKFCJu5pcHcNPsDXrt1deL6kkjAk8zScCM+hKT1VDfcyKuBw/wRw/CQQ5ASW\nLVsmkydPlrFjx8qDDz4Y5KMxd/dXrFghEfcUbHk1A3ZTwCr8pNG7u7kHYaLeUQGb6GWwKyRAAgkj\nsGjRIvnss89kwoQJkjs3DX8SRi/hta9cuWLPBfyMckFK5roHDI+kqx5NsxLeWBjcQSOsMHjJHCIJ\nhCKBefPmycyZM6l8/fhyS5cuLSlTptQtekzCkFTNie9d92O3grYpzoCD9tWx4yQQvgRmz54t8+fP\nl4kTJ0rWrFnDF4SfRw4jLGSUqqcCUD7oOvtFX27eFEtDJrqI72vhDDi+pFiPBEjAFARmzZolP/zw\ng575Uvn695UgDGWGDBkESRjSuSpgi4oKPXakGEpJU+JHgDPg+HFiLRIgARMQmDFjhqxevVpbPEMR\nUPxLAAZYFqVok3pqFgo4nceFaU+1WaYIcAbMjwEJkEBQEJg6daqsX79ez3ypfAPzyhBT+9atW3JA\nuSDhPye5oyJgVWPMbScmcZxwBhwHIF4mARIIPIEPPvhAdu7cKePHj5fUqVMHvkNh2oONGzfK7du3\npZZOQuiShCFrFpFLl8OUTOKGTQWcOG68iwRIwE8E4N974MABGTdunKRKlcpPrbIZTwT27t0rN27c\nkOt6EdpFAavlaeulS647w54ew7J7BLgEzY8CCZCAKQkg6TvCSh45ckRGjx5N5WuCt5QlSxZJly6d\nRHrqy5mzYhRjCFBPaGIq4ww4JjIsJwESCBiBqKgoGTp0qJw/f15Gjhxpjz8csA6xYU2gXr16kuPi\nJcnuyQyrhIoOnT07SSWAABVwAmCxKgmQgO8JREZGyqBBg5RL6U0ZPny4OCaA933rbCE2Al9++aXk\nV8E2rt2OktSui81XrsZ2K695IMAlaA9QWEQCJBAYAjDw6d+/vw53+P7771P5BuY1xNgqViSO377l\nrnxxB5MwxMgtpgucAcdEhuUkQAJ+JQD3ln79+um93r59+9qD/vu1E2wsVgJwQ0qSNLkkUTNgR8FZ\nkr49HYt4HA8CnAHHAxKrkAAJ+JYALGt79eqlk71DCdsy7vi2VT49MQSq3I50S8IAe2jrf+cS87iw\nvocKOKxfPwdPAoEncP36denevbtkVwY8vXv31pGWAt8r9sATge+++07+cw3AoSreVsvPRvp0nm5h\nWSwEqIBjgcNLJEACviWA9HZdunSRAgUKSLdu3cRQ+WQp5iUAP+yDSgFHuSjhpMpwTp6oZt6Om7Rn\nVMAmfTHsFgmEOoFLKmgDlG/JkiWlY8eOoT7ckBhf06ZN5TGViEFFfXYajzV5cpHNW5zKeBI3ASrg\nuBmxBgmQgJcJXLhwQSvdChUqyLvvvuvlp/NxviKwatUqueWse3VTkSpoito78FWzIftc0xKDUQZc\nEigkQAKhReDcuXPSvn17qV69urRs2TK0Bhfio9m+fbv8ZY1UC9DOiRiSKgt2qc4l6IS+flMo4KNH\nj8rrr78uW7dulTNnzkiLFi20QQaSP7/55ps6+0ZCB8b6JEAC5iOA/7/btWsniKiE/+cpwUUgT548\n8oRagjZclqCvPqBidO/6M7gGY4LemkIBw/E+b968ei9o0qRJckeltdq1a5fs2LFDLl++LIMHDzYB\nKnaBBEjgfgicPHlSK98XXnhBXn755ft5FO8NEIFGjRp5bDllMrUHfO26x2ssjJmAKQJxrFmzRpBl\nI1myZDJv3jyZP3++5M6dW/cayvftt9+OeQS8QgIkYHoCx44dk06dOslrr70mzz77rOn7yw56JjBk\nyBAZfG8B2nEWbFERsozy5TzfxNIYCZhiBlykSBH54osvdCexL7R48WJ7hxcuXCiFCxe2n/OABEgg\nuAhgiwlWzthOovINrnfn2tvMBw9Ler0A7WyJdSZTRjFy5HCtzvM4CJhiBvzhhx/K008/LZ9++qkU\nKlRIunbtKtOnT9cO+XBVwAyZQgIkEHwEDh06pP9/fuedd+R///tf8A2APXYiUOOhhyRq6+9OZThJ\no1YvKQknYAoFXLBgQdm9e7csW7ZM9u3bp/eDM2TIoGe+9evXlyRJTNHNhNPlHSQQxgT++usv6dGj\nh3To0EGeeOKJMCYROkP/cddO8WTrnDRd2tAZpB9HYhrNhgg4Tz31lP7x4/jZFAmQgA8I7NmzR8d2\nRojJypUr+6AFPjIQBP5V2wmpXRqGQ9LF1A9IVpdynsZNwDQKOKauYkZ87do1KVcu7g3+qVOnyldf\nfeXxUX///bfkz5/f4zUWkgAJeI/Azp07dVajPn36yCOPPOK9B/NJASdQ2LDIFdWLjA49wW5wquMn\nHUp4GF8CplfAs2fPliNHjsi0adPiHFOrVq0EP54EFphwg6CQAAn4jsDvv/8uAwYMkIEDB8brS7Pv\nesIn+4JA7jJlJPL4crdHp1AxoikJJ2A6BQwfYPj+Yg8YgrygFBIgAfMT2LJli8BN5f3335fSpUub\nv8PsYYIIIILZrLVrpKdLEA4sQUc+VEZMp0wSNLrAVDaFGxIScSMNGaKswBc4Y8aM8sADD0ipUqVk\nxowZgSHDVkmABOJNYMOGDVr5Dh06lMo33tSCq+Lp06elWqoH5IJLGEosQVu3u1tGB9foAtNbU3xp\nQWg6LA8vWrRIpyWD8oX7ESyj4T+IuNBt2rQJDCG2SgIkECsBuAmOHz9eRo0aRZ/9WEkF98VMmTLJ\nLZX3VyUedBMLPVXcmMSnwBQz4KVLl8qUKVOkjNpfSJ06tc4Jmi5dOqlUqZJMmDBBR8aKz2BYhwRI\nwL8EVqxYoZXvmDFjqHz9i97vrWXOnFm23bohmVyWoKNUTyLq1vZ7f0KhQVMoYCw1r1y50iNPRMLK\nkiWLx2ssJAESCByBn3/+WSZPnqwVMD0MAvce/NXyunXrpNrtSLnpsgStlciBA/7qRki1Y4ol6EGD\nBkmTJk1k3LhxgqAcadOmlYsXLwp8CWGU5RiaMqToczAkEKQEfvzxR5k5c6ZWvrly5QrSUbDbCSEA\nd9BkKu9vhKebrl7zVMqyOAiYQgHDxxd5Jjdu3CiHDx/W+8GY9WLft1q1anpJOo5x8DIJkICfCMyd\nO1fgHjhx4kSdNtRPzbKZABPA3+kRKu1gxJUbTj3RS9BPPO5UxpP4ETCFAkZXU6RIITVq1Ihfr1mL\nBEggIAS+/fZbWbBggSBtKLeGAvIKAtYoohUWPnVaLUEnkRQOvdBL0Hv2OZTwML4ETKOA49th1iMB\nEggMAWQsW758uVa+cBWkhBeBzZs3S56UD0iK67fcBm49c8atjAVxE6ACjpsRa5BA2BNAprL169fr\nZef06dOHPY9wBIBVyj+SJ5Wo6zfF4mAJzSXoxH8aTGEFnfju804SIAFfE/j444/l119/1QZXVL6+\npm3e51esWFHyXbjk7geslqatKVOat+Mm7hlnwCZ+OewaCQSaAPzw4Y0ADwX46FPCl8DgwYOliFK2\nSa2IfRUtFmUZbez/O7qAR/EmQAUcb1SsSALhQ8Cq/qgiuAYSoUD5puQMJ3xefgwjxRexW9ZIuaOW\nn5M4LkErfRxRolgMd7E4NgJUwLHR4TUSCEMCUVFRMnLkSDl16pQOL4m9PwoJFCpUSC6r3V9XP2AD\n2RiyZSOgRBDgHnAioPEWEghVApGRkTqb0X///ScjRozQ7oGhOlaOK2EEKlSoIFXVLYbD7BdP0AvS\nq9ck7GGsrQlQAfODQAIkoAkg6tx7770n169fF2Q1QmYyCgnYCIwePVpOqTCUUS6hKKPUvrBkZbhg\nG6eE/KYCTggt1iWBECVw+/Zt6devnx4d8vkmTZo0REfKYSWWAD4jB5XyxYqzo2gjrHp1HIt4HE8C\nMe4BI0cvwkP++eefcvDgQcH6f/ny5aV48eKShKmn4omX1UjA/ARs+bgRg71Pnz4SoVLOUUjAlUDd\nunWl8q59ag/Y2QoaCtm6fqNIpcdcb+F5HATcZsCwfvz666+lZMmS0qlTJ/nll1/0khQSIrz66quS\nO3dubR2J/2kpJEACwU0Ay83du3cXpJrDDJjKN7jfpy97j+xXN9zmv6pFfGGjoV6i0DvNgJH4vmHD\nhlKrVi2dGAH/U7rK+fPn5aOPPpKaNWvKd999Jzlz5nStwnMSIIEgIIDsNj169JB8+fJJ165dg6DH\n7GIgCVy6dEkuqQ5gD9gxEpahDPeM554JZNeCtm0nBYyl5W+++UbSpEkT44AyZMigl6k6d+4scFeg\nkAAJBB+BK1euaKVbokQJad++ffANgD32OwHYBdRUqtdR+aITtzOklxQqi53kye33PgV7g05L0FDA\nNuWLfJ9nz551Gt8BlXQZzvkQOOY/8MADTtd5QgIkYH4CyLXdsWNHKVu2LJWv+V+XaXr42GOPuVlA\no3NJkyYT682bpulnMHXESQE7dhxO+Mj/uGrVKl2MYOyPPvqoXUE71uUxCZBAcBDAFlKHDh2kcuXK\n8vbbbwdHp9nLgBO4cOGCLFy4UC6onrjZQZ8+LUa5sgHvYzB2wGkJ2nEAb731lt4bev311yVHjhwC\nB30o49KlSztW4zEJkECQEMCKFgwr69Spow0qg6Tb7KYJCOCzUyxNWsl/4ZpbII7bWbNKBLcjE/WW\nYpwB256GdX8YZyEZs8USZ3XbbfxNAiRgIgKn1SwFM99nnnmGytdE7yVYupIlSxbJpLYoL3mwgo5I\nqUKVXr4cLEMxVT9j1KgffvihNG3aVJAN5Y8//tDLVU888YR88sknphoAO0MCJBA7gRMnTui93hdf\nfFFeeuml2CvzKgl4IJAuXTo5mzyZJHPxAUZVy7nzItmze7iLRXERiFEB582bV3bs2CFPP/20fkaL\nFi1k06ZNAgMOCgmQQHAQ+Pfff7XyxZfp559/Pjg6zV6ajgCCMSVVija9h57dLlxIjFSpPFxhUVwE\nnBQwnPJXrlyp78FSVVa1tu8oBQsWlC5duuiitWvXCr5ZU0iABMxJ4LByDcGyc8uWLaV+/frm7CR7\nFRQEsA2ZT81+L3tYgjbOnAmKMZixk04KGMHXYWiFb8qIhuU628W36blz50q1atX0dZvLkhkHxj6R\nQDgTgMsgfPXbtm0rTz31VDij4Ni9QAChiO/o+BDOYSjx6CS0DUo0YScraIShQzaU48ePy4ABA6Rd\nu3Y62EY2lesRyjd9+vRSqVIlwf4wraETzZw3koBPCezbt0969uypV6uqVkUCOQoJ3B8BGPGtPfCX\nZJXkTg9CHGjjIXrGOEFJwImTArbdh/CS06ZN0z8nT560J2NwXZK21edvEiABcxDYvXu39O7dWytg\nBE6gkIA3CGzbtk0eT51Wzl65LplVLCyb6Pnwzj9tp/ydQAIeFbDjM7Ir6zb8UEiABMxNAN4KWLlC\nUgVkLqOQgLcIpFJGVneUS2oSlY6B4j0C0V9lXJ6JyCdNmjTRS81FixYV2w9C2FFIgATMRQAzFCjf\ngQMHUvma69WERG+qV68ut1UwpvQubkh6Cbr1WyExxkAMIsYZ8MiRI7UR1sSJEyV16tT2vmXMmNF+\nzAMSIIHAE4B74LBhw2TIkCE6jWjge8QehBqBX3/9VZpcc4/3DAWsEsSH2nD9Np4YyR07dkzeeecd\nqVGjht86w4ZIgAQSRmDdunU6QcqIESP0KlXC7mZtEogfAYSitHhwQdJ3qxzylMQRiHEJ+oUXXpCZ\nM2cKrN8oJEAC5iMAn/2xY8fKqFGjqHzN93pCqkd58uSR3UmTuCVigAIx6tDNLbEvO0YFDFekxYsX\n60QMhQsXlmLFiukf7gEnFjXvIwHvEVi2bJl2B0R6UPhoUkjAlwTgAVP3+k33RAwqLa3s/8uXTYf0\ns2NcgkYIygoVKrgNnnvAbkhYQAJ+JbBo0SL57LPPZNy4cYKZCYUEfE3g448/lsYeGrHeviVy9aqH\nKyyKDwE3BYxUZV999ZX+Hztz5syCtX/+Tx4flKxDAr4n8MMPP+godEiSAn99Cgn4g8CVK1dkt0RJ\nST0Hjo6GlexOpBgV6PKW2HfgtgS9detWuX37tn7e5s2btStSYh/O+0iABLxHYPbs2fLtt9/qDGVU\nvt7jyifFTQDhiatKhNsS9M20adUmcLRCjvtJrOFIwE0BO17kMQmQgDkIYFVqwYIFWvkiNCyFBPxJ\n4NSpU3LNQ4PWCKVC1CopJXEEqIATx413kYDfCGC/d8mSJVr5IjE6hQT8TeCnn36Sqx7ckCyXLovk\n4lZIYt+H2x4wHoTEC0g/hTjQN2/elCNHjtif/8ADDwj2hikkQAK+JzB16lTBVhAC4iApOoUEAkEg\nu1pqLuASBQv9uJYyhaR0SVsbiP4Fa5seFbCr9fODDz5oH1+jRo3ku+++s5/zgARIwDcEPvjgA9m5\nc6e2dmbqT98w5lPjR+CtevXlvw+nShoXJZxGZciTf/4VKVY0fg9iLScCbgoYa/2xicEN99jw8BoJ\neIUAXIz++usvHWgDq04UEggkgemzv5OWLsoX/blz7pwkS6cMsSiJIuCmgJETmEICJBAYAlYV1g+R\nrbANhCAbKRHogEICASaw78wZcc2JZ1V7wleSJ5dUXIJO9NuhEVai0fFGEvAugaioKBk6dKhgFQpK\nmMrXu3z5tMQTqJgps7iujRpqRpxCpSgUFTWRkjgCVMCJ48a7SMCrBCJVqrdBgwbpDGTIbJRczSwo\nJGAGAtevX5epX3zuFgcafXsgaTKRZOqHkigCVMCJwsabSMB7BO7cuaNz+SIADmbAyfgHzXtw+aT7\nJrB69Wq5rtLQ5lIzXiw720QfZVAZgumXbkOS4N9UwAlGxhtIwHsEbt26JX369FEpVZPoGTB+U0jA\nLATOKSOrtWvXSoWr1+Wc6hSWnW1y9yhaIdvK+Tv+BPh/e/xZsSYJeJUAfO2hfJHgpFevXmKx8Puw\nVwHzYfdF4NChQ1K9enW5cOGCVFXxICLUf1DBTnL9htMpTxJGgAo4YbxYmwS8QgD7aj179pRcuXJJ\nt27dVDhdlz9sXmmFDyGBxBHAykz58uXl/Pnz+gGb1b+pxYO6yJM7cQ3wLk2AX7n5QSABPxO4qtK3\nde3aVRDgpnv37lS+fubP5uImcOzYMUmLRAv3pJya+V63nTj+Vl8kKYknQAWceHa8kwQSTODy5cvS\nuXNnKV68uHTq1CnB9/MGEvjvv/+kY8eOUr9+ff1ZwlaGtwXBXxy3RBABy+MajdojpiSegIc1hcQ/\njHeSAAnETODixYv6D2bFihWlVatWMVfkFRKIgQC2LpANC1sWsJ5ftmyZ/Pzzz7J+/XrJkCFDDHcl\nvDirCq7RokUL7Y+Oz+1eZf2cypMKzpMn4Q/nHXYCpp0B41vdpUuX7B3lAQkEMwFYk7Zr104ef/xx\nKt9gfpEB7vvw4cP1zBTKFwLXtYMHD8qkSZO83jMYCPbt21fKli0rr+bN575VAruFGtW93m44PdC0\nM+C5c+fKypUr5ZNPPgmn98GxhiCBMyqMH5absWT4yiuvhOAIOaT7JYDoZ/D/jmsWi8x0ULqOgox1\nH3/8sfzyyy+OxV47RhauxjnzSpKjJ5yfqcKmGn//7VzGswQRMIUCLly4sMrp7JzUGVZ4+JYHRdyg\nQQOZMWNGggbGyiRgBgJI6Qnl27BhQ3nxxRfN0CX2wUQErly5opd6t27dqhVr6dKlZf78+ZIUIR49\nyKOPPqr/JuI+m6RIkULee+89n66sRI4ZL9Yly0VUxDa7WNQMuGAB+ykPEk7AFAoYyvXNN9+U1157\nTZo1a6ZHgQ/hxo0bZcSIEcJsMAl/sbwj8ARgSQqDq1dffVWeffbZwHeIPTAVAcT+LlGihE68gSQc\nkNOnT0uXLl10/mdPnW3ZsqVMnjxZLzvDmj69SgdYqFAhQbkvxYr9ZUfli8aiVJ/V5ImSeAKmUMBV\nq1YVfANs27at/oM1ZcoUyZw5s6ROnVry5cuX+NHxThIIEIGjR4/qP6T4Ylm3bt0A9YLNmpnAvn37\nBIrXpnzRVywnI986ZrqpUqXy2P0BAwbo6FQIkFG7dm156aWX3PdnPd6Z+EJj1WqHIJQOz1mxUuTl\nRg4FPEwIAVMoYHQYPmdffPGF/vBVq1ZNYCnK1IgJeZWsaxYCiCAEP982bdrIk08+aZZusR9+JoBt\ntAULFghcz8qUKaMDWzh2AdcdXX1s11COdJSxrfwVLFhQsDfrN5uCzJls3Yv+DSMsT+XRNXgUBwHT\nKGBbP/FtrnLlyvqP10MPPWQr5m8SCAoCfyujFATX6NChgzzxxBNB0Wd20vsEoERr1aolf/75p1bA\nmOUi0Qa+mNkEvuD58+cXrJbYBJMOrPohSpqpxNPfYjUm45n6pupmsHXGdAoYAHPnzi0//vijZoll\nmmvXrkm5cuXiZLtlyxb5/fffPdbbuXMnU7x5JMNCbxHYu3evjumM0JL4EkkJXwJY/di0aZNeUrZR\nGDNmjI6tXKFCBV0Eq+c5c+ZohZspUyadkOPhhx+WmTNn2m4xz+9FP3nsi3XdepHKj3m8xsK4CZhS\nATt2e/bs2QLT+2nTpjkWezyG5WBMyza4xni7HrGx0AsE8AWvX79+0rt3b71/54VH8hFBTGDbtm1O\nyhdDgavR22+/LQUKOFsOw0YAy9StW7eW559/3pR/pxz3qe2vBUvQasZOSTwB0ytgOILHV+Awjh9P\ngtkxXEIoJOBtAlh1GThwoPTv318wg6GEBwEEV4H7z65du/Sq3cSJE/W+LEafJUsWNwgwKoWShVul\nJ8GerhknCVYE/ViyzL3Lagna0tDzWNwrs8QTAdMpYPj+4ttgXA7pngbDMhLwNwF8sRsyZIgMHjxY\n4MNJCQ8CsFbOmTOn8syJ1PEKYEyFvLkICZkjRw55//33BasimPVCsAKXMmVK7W4ZbMal1qXK/zeZ\nB7/kwgXFePBBDI+SSAKmCEUJgwUs3eVRcUWxL4L8qFhKLlWqFANwJPLF8jbfE4CfOgxr8EPl63ve\nZmoBs10sy9pCQsKnF1tlCBWJ40ceeUTHaH7ssccExqSY+R44cCDoPDuilv8iUcNGilxkWGBffP5M\nMQNGjFwsDy9atEjvj0D5Ig707t27ddYPxIWGUQOFBMxCALOdcePG6UAxRYoUMUu32A8fEIARKP4+\npUmTxr60jCArmDg4ChTv119/rZekbeXw5a1Tp47AdzfYJPKT6WJt11nEU7YlNSM21ASJcn8ETKGA\nly5dqqNeZc+e3T4a7IdUqlRJJkyYoD+8VMB2NDwIMAHE3P3ggw9k9OjRbgY1Ae4am/cygT/++EMv\nGyMxPbICYaUOkaoQKAN/o1Bmk+TJk+vrSBUY7GJV+9vW7n3cla9aapcsmcV4uJxYvjGhtXaQgTfF\nEjSWmpF4wZMsXLjQ/q3T03WWkYA/CSxZskQ++ugjPft1tWb1Zz/Ylu8JnDhxQht1/vbbb4LgKjC6\nQoagefPmycsvv6yDBcGwCoKQkEWLFpX27dv7vGNWNdOOmj1XEJ85as73vmkPXyzSp3N/tlLARrdO\nYvnxezHUdiHl/giYYgY8aNAgadKkif6jhggviIqFb5Z79uzReyyLFy++v1GC3RksAAA7hUlEQVTy\nbhLwAgF8GUS0NqzK5MqVywtP5CPMTABbYkmSJLHv86KvML7C3yvk5UXc+pIlSwpmxwgJ2ahRI4+R\nrbw9xsgq1UX27Rc5f0Gs6gtA1LiJErFmhRjedAlSOYclbRr3rqvED5YWzb3blnsrYVNiCgWMIBvb\nt2/Xy9CHDx/W+y0w48eyM8JSmtE0P2w+IRyoJvD999/rMKlQvrBypYQGARhGYT8fxp/wx3X0voCF\nsyfB3i8SIUAQzQrZiDAj9odETvlE5Pcd0UvDyIq0c5dEzfhCIt5q7rUuGGrv2vLhRImqWkPUH2D1\nXKtImrRi+XamGGq2T/EOAVMoYAwFH+IaNdTLppCAyQh8++23OqYvkp578u80WXfZnXgSwF4+Yikj\nqQFcgzCrRShRrMJBnnrqKb0ah6Vnm0BBYxkaK3beEiuU6LbflKuPWtKtUF6MGFIR6vZ+3RStfG0d\nuHxFrP3fk8ivvrGVeO/3YxVViqYzItWqSES3zmKUKO69Z/NJYhoFzHdBAmYkgLCAy5Yt0+nhEC6Q\nEhoE/vvvP6lXr55btKrmzZvLmjVr9CARpxnJFLC8jOxs8PWFO5FXla+KAx359PMiZ//Tk0y5dlUi\nDu0TQ7liehRsfSRVf7Zvq+AYNlHL5EarFmIZ0NdW4vXfXIX0OlL9QCpg33DlU0OAwKeffirr1q3T\ne76OS5MhMLSwHwJmuljNQNYhR0EISdfczY8//rjyxLmh9/8Rq8BbYlUz7sgCakbpuNStVnuj3mwl\nlu+/EwMWxy5i6dhWIr+bI8oqTOSOWiLHvq+639KjK7fqXFgFwykVcDC8JfbR7wSQ9Bw5qrHnC6NA\nSmgQwBcqRC6DhTMi7rkKtsJmzZrlWqzP4QecULHCmhj7xUrZuy0t794jkkO5Xv57LPqxaqvVumqt\nRHbuJtiH9SjPqgxEy5XXiHquUbuWWAb2FUNF2aIEHwEq4OB7Z+yxjwkgyhGCwIwfP15sbiY+bpKP\n9wMBuDrCWOr06dO6NVg4O1o5IwIfQkgmRtF66n7kh5PFqiyUVWgskWvXJeLX1eIUulEpe4/JDNQS\ns6VeHTFiU/gN1bK1ut8oV9ZT0ywLEgJUwEHyothN/xAYO3asHDx4UPAbUYwooUPgrbfesitfjAph\nJPEFC8vKcCt75513dDYib4w48qtvxdrvPeUqdN7+uMg6z0rEul/EUPvJEKNkCTGqVBbrCZUkxhZV\nS0UBNF5oIJanatnv40HoEqACDt13y5ElgADCCI4cOVK7wCHCFZYiKcFPACEkYeUMBesppR72dvFF\nC/G8Eb/ZW2L9aIqT8tXPPXJUokaOEaNqlehmXnhOBEvRKrQl/G6N5s3E0qt79HUehTQBKuCQfr0c\nXHwIwN8Tf4AR/AVKGD6hlOAngFWMDz/8UCdHgNVz+fLlBXEGHBUxrHsRv7lw4cIJHrD1+HGJ6t5b\nrFCgyj0p4vNPxMid++5zIh2slG1PRlq/4ydEDhy0lQg8bI3XX9XnxnNPi+GSK9hekQchSYAKOCRf\nKwcVXwJQvohshOAKw4YN02nj4nsv65mXAHy3YWzl6MOLYD8QzHgx84VrEd55opSv8t2NzFXgbpAK\nlRUJElmlhkSsXibY5zWavCxWx4AZqKAUsGX4+9FKGmWUsCZABRzWrz+8B3/79m3p37+/NsSB8U2w\n5WkN77cX++jhv+2ofFEbVs8IvIGkCTC4eu2113Ss59if5Plq1MQPRX1wtFK11zj6j0QOVJ+jEUPE\naPSCWNesE/lFWSvDQlnNkC3Tp1D52mHxAASogPk5CEsCmPEiohEsXvGbyjc4PwZQskiOcEXNSKtX\nr65z72IkjsvMjiPD9gIi7hUrVixeyteqVkiiPlNZfzZsFMmZQ+/PavegU6ecla+tkRUrJapDF31m\nRFjEWvFRMYoVFUv/3gzhaGPE33YCVMB2FDwIFwJYfuzVq5dkzZpVevbsyQAGQfri4ctbs2ZNOXLk\niF5ShtLF0vNLL72kUwgi1CTetU1gaDd48GDJbduntV2I5XdkdWWN/IeKvXxZhYtUM97I94dLxMkj\nYtSsIdYvZolcUH6+NkmeTIy+vSSi9Vu2Ev4mgVgJuIdaibU6L5JAcBNAcvVu3bppq1goYYbYC973\niRCRe/fu1TGcbTNefKGCoVXDhg1l4MCBOrlC/vz59Wx3y5YtCVK+UfN+uJv4AMoXAiMqNauNGjBY\nLM89I8azT6sEBSodoUpOL9myilGjOpXvXVL8N54EOAOOJyhWC34CWKbs3r27ztvaoUOH4B9QmI/A\nUyQrhJaE8oWBFaRMmTJSpEgRner0AeVj6ypW5f6j92rVvrDxZE0xHKKeWf/5V9TatvMtkVFi/Wa2\n3Nm77255gfw6mIZlyHtiqVPbuS7PSCAOAlTAcQDi5dAgABcjzHyR+hJpLinBQ+CoSliAmS3iN8Of\n95NPPhEkxvAUIhR7+ohk5ujTiyQKiHjlKlEqs1DUC41FLl26G5Hq0mWJOLJfjLx5dVUjbx6xIimC\nQzYkzICNF1RAjenTXB/HcxJIMAEuQScYGW8INgJImN6xY0epWLEilW+QvTx8ccqXL5988803giVk\nZCfCe0Q4SViuO6aHTKmsjStXrixVqlTRvtwwuMKPJ+VrVcE5oqr9TwRRqK5eU0r4blzoyOat7IQM\ntcwsJYvrkI+6EEpc+elaJoy11+EBCdwPAfevhffzNN5LAiYjgAAMnTp1klq1aknTpk1N1jt2Jy4C\nULKwUIe/NgSGVNjjRcAUWK9DMSOICoytGjVqJG3bto3rkWJVy8fWTVt0ggQdGMPxjk2bJfKV6M+J\nkSunWGHIpdIFGq80FmQjijVGs+OzeEwCcRCgAo4DEC8HLwHMkqB8kV6ucWO11EgJCIEDBw5oNyEE\nvEhofG28Q5vytXUe53PmzNExu1GGpehmzZrF+QVLuxS93Vasy3+5m9T+pHIlcpXkKcQybpRrqT43\nsqvMRRQS8CIBKmAvwuSjzEMALipQvlC8zz+vMsdQ/E4As1Xsu3///fd65gpl+ttvv0nx4mpZN57y\nxBNPaD9fR4MrBNLArLdJkybxfMrdalHNWoh17vy7ytd2pwpFqZyG756lTy9GT5VXl4rWRoe/fUyA\ne8A+BszH+58ALGFh5YwlZypf//O3tQg3r6lTp+olYxhSYZm4Tp06cvbsWVuVOH+/8cYbUqlSJT3L\nxVJ0tmzZ5Omnn06w8kVDetnZwS9YN66eqSy6RMqXE+ODcRLRrXOcfWIFEvAWAc6AvUWSzzEFAQRl\n6NKli7Rs2VLgJ0oJHIGffvpJLz079uDMmTPSt29fe8Qqx2sxHTdo0EDHa0b6QLgYYT8/PhK1cLFE\n9eqnE9dLqpR3LZ1db1RxoY0O74qlVQsxlHKnkIA/CVAB+5M22/IpAew1YskThjiIkEQJDAEsF3/5\n5ZcCAzhXgUtQunTptBuR67XYzqtVq6Zz98ZX+Vq3/SZRbyqL5jMOs234BsMX+OrV6KZUYBaLmvUa\nTD8ZzYRHfiNABew31GzIlwT27dunw0ti3/fxxx/3ZVN8diwEEOykatWq2mcXUcdc5apSfpgBw1/X\nl4JoVU7KF40p1yMpU1rk0GGliNXMt0RxscycTuXryxfBZ8dKgHvAseLhxWAgsHv3bh2oAbNfKt/A\nvjHs2f7555/iqHwR7jO7MmzCu8EWgTeVr3XjrxKpgmnc+V8diZzwgX3wVsdZrq0UoSTTpxNp9qoY\ngweKZfEPYqh44BQSCBQBzoADRZ7teoXAjh07dEpBzKoqVKjglWfyIYkncPDgQTe3IcRpfvjhh2X+\n/PlezbcctWyFRL32hsjpM7rD1q3bJHLPHomY/KEYDZ8X62bl63vtutNgIkYPF6NcWacynpBAoAhw\nBhwo8mz3vgls27ZNK18E3afyvW+c8X7AKZWK7/XXX9eGVFhuhtK1CWa6rpJeufe0atXKq8oXbUS1\naG1XvrpNFc3KuniJVryWd1qL8dSTysJZhZLMmkUk/4Ni+epzKl8Niv+YhQBnwGZ5E+xHgghs3rxZ\nhg0bpsMRlipVKkH3snLiCWBpGUoWxlTw84XAV3f58uU6yQXeye+//y7ww4YgPGSePHl0MBRdkIh/\nrGrpOOrLr0X5M4kUKSwWFZFKZ7HyEN9ZVHCNyJZtxEAMZ4gKYyn580nEmBFi4JhCAiYiQAVsopfB\nrsSPwPr162X06NFaASOxOsV/BCZPnqzjK9+6dcveKPyu+/XrJxMmTNA5lhcuXCgDBgwQxHGuW7eu\ndgtLbNpHq1LykWXU1sKx43eTJigr5shRYyViywYxihYRKwyqHEV9MYiY950YKmYzhQTMToAK2Oxv\niP1zIrB69Wr9h37UqFFSqFAhp2s8STgB+NbCghyCLzMIdhGbwLXIUfna6q5bt04rWts5DK3gMtS+\nfXtbUaJ+R300RVktH1LRq27evR/GVX8flKjpn4tl8iSJfLCoysebTOS2+kKgZr3GiCFUvokizZsC\nQYAKOBDU2WaiCCxbtkwwAxszZowgyTrl/ghghopQnVDAUMQ3b96Uv/76S/vpxvRk+OPiHZxzSNGH\njEM9evTQ0cdc70P8ZevqNTrjkFG2jBhqOTpBsvW3aOVru1G5OlkHDpbIr74RqVLp7j5w6ZIS0buH\nGOUfttXibxIwPQEqYNO/InYQBBYvXiwzZszQidXz3svXSjKJJ4D9WySqR3xmm2CZGOE7582bF+NM\nGNHFEIMZ7wJKGwZWmDkj9Ker6L3b518S62/bRWl3kf/OadcfS93arlVjPs+TW5T1lprh3o6ukyyp\nGO++LRF9ekaX8YgEgpAAFXAQvrRw6zJywM6aNUvGjx+vE7KH2/h9Md5DalkXBlKOAnch7K9j/xYJ\n72OSAmp/9c0331R57C/JSy+9JPXq1fNYNer1N8W6bLlSvtH7xVEwkFq7Qox4rmBYOrWTyNlzRZla\nKyWs/HihjA2LWLp28tgmC0kgmAhQAQfT2wrDviLt3Ny5c2XixIk6EH8YIvDJkFOo0ItQuK4C6+aC\nBQvGqoBxD+og0X1MyteqYj5bf93spHx1W8pnN/KdDsqAqrBr0zGfP1lDZIP6sqB8eo3nnhZLr+5i\nqIxIFBIIdgJUwMH+BkO4/1999ZVeeobyzZJF+XJSvEbg+vXrbrGaoXyRs7d58+b31U7kyDFinTzt\nruWy65PUrNtSu5YYNZ5wvRL7ecsWIkrpGsWU0RWFBEKEABVwiLzIUBvGZ599JitXrtQz34w2n85Q\nG2QAx4OZK+IyO8oDysVn+vTpjkUJPo6cMk2sw0aquMsX3e9VCl4sht6/NbCUTCGBMCfASFhh/gEw\n4/CnTZsma9eupfL14cuxBdFwbCKVSs134l4ADcfyhBxbP5vpWflmUMnuX31ZIg7vFyrfhBBl3VAm\nQAUcym83CMf20UcfyZYtW7TBFdLWURJPAJmJ3n77bW2lXLp0aR2tyvY0zHZdBW5IsRlf2epbjx2T\nyMavyZ0SD8mdCpXEunef7ZKa4Xr4k6LclIy2bSTiC5V5iO80mhWPwp4Al6DD/iNgHgCwct6/f792\nNfKkIMzTU/P3JFL538JQCv66cBeCwH3oiy++kDp16sjIkSP1b9tIwBvJ7suUKWMr8vjbqpR6ZO6C\nyhJZXb5nwxWpMhFFLP9JjOLFxHjtFbFuu+d2ZHuCipplUW5DFBIgAWcCHr6uOlfgGQn4mgCscRHZ\n6sCBAzrIBpXv/RNftGiRcp29bVe+eOIZZZncq1cvFVjqkPYBRmCTZ599VitirDx88skncTYcNfXT\nu65AjgbUx09IZN8BKizkITGUgZU0bCCilpwldy6Rcg9JxM5tYmTLFuezWYEEwo0AZ8Dh9sZNNl7s\nRQ4fPlzOnj2r4zsnDyP3kuPHj+v8uDAyK1rUu9a9MLCCAnYVZC4aPHiwvbji7Uh5KdKQ/Os2ibVY\ncTEefcR+zeOBCkXpFBTDVmnzVokaPEyfwUXI+mRN5WpURCw9u4nhYbnbdht/k0A4E6ACDue3H+Cx\nY5n0/fff19a4UMIIaRgugmhTPXv21GOHskR6PyQz8JaUL19eh5TEPrBNwBeRrGyWzpEzvhDruyqC\nlXJJwoQ2ctqnOmUfsg3FJEb1anddjM6dj66CyFQ9ukqE2uelkAAJxJ8Al6Djz4o1vUgA+5KIuITA\n/kOHDg0r5bt9+3Z54YUX9H73MWXQdOHCBb38C79nbwnCTCJjFCR16tQ6SxFy986cqayUlVjVTNba\nqatWvrrg3j9RKsay1SHOs+M1HFtqPSlGizdEHkilfpQhV47sYjz5PypfwKGQQAIJcAacQGCsfv8E\noHT79++v4iok17/jysBz/y2a6wmIa+0qyLOLpeEjR464Xrqv806dOgmWuqHwn3/+eRXJ8Z7/rYrL\nLOnUPu3FS87PP/qvRNZ9Fol8nctdz9TyskRGiWXMcLH8r6brVZ6TAAnEgwAVcDwgsYr3CMDVpXfv\n3pIhQwb9G9GXgk2WLl0qS5Ys0WNo27atTkiQkDHAyAxfOrAE7yjZlKESlo59IchiZFe+qgErFp1P\nnnRvKmUKiVi6iO5C7mRYQgJeJ0AF7HWkfGBMBBD+EFa4OXLkkO7dVTxflX0n2ARp96ZOnaqXjREL\nGYnoYdiUP57JBTBezEax33v48GH78BFqE25YZcuWtZf58iCqwUui1v+dm1Dvwxg3isrXmQrPSMBn\nBIJv+uEzFHywLwnA0Khr166CVIJQYsGofLF3C3cd7NlCbP61CU06DwZwE8qVK5cgsxDS+SHHri+U\nL/Zzres3iPWPHc6vV30ZchNEq4LrEIUESMAvBDgD9gvm8G7k8uXLWvkiGhOWbINV/v33X50ByLX/\nK1askOrVq7sWx3leqFAhbXyGJW1fSJTKwxv1egsVGlJ9YYBLkgqyEfHTD2KombvHPV61HWCkTeuL\nrvCZJEACHgiYXgFjnwwzjXDyD/XwnoK26OLFi9KlSxd59NFHpVWrVkE7DnQcyedd921RDkW6atUq\nHJpGEC4yqnwl5/6o+NpRQ0dKRP/eYhnYV6LggnRW+fVCVHpC45EK+uduAf8lARLwNQFTLEH/888/\n2g8S7hK1atWSv//+2z7u2bNnS9OmTe3nPAgeAgiDiOVZuL8Eu/IFdbj1uGYQSpMmjXzzzTemeynW\njZtEVN+c5OYtsX40WSnhESJ/HxB5pr5I/gdFSqgQkoMHiOXH752q84QESMC3BEyhgMeNG6cNc7Zu\n3SqVKlUSWGwiJjAleAkg7CGULwI/vPHGG8E7kHs9R5jMTZs2iWsWISSMSEyuYuvuPXKn2v/kTqHi\ncidHPola6O6adF/QVNANSephgQu+u48oS2v1Y3nlJbFM+UAiFsyViK6dxFCW2RQSIAH/EfDwf6j/\nGre1BL9IGLikVL6HgwYNkhIlSug/3OvWrbNV4e8gInDq1CmB/ymsfV988cUg6rnnrp5U7jrITezJ\ncAzuRLDuTohYT5+WyJLlnG6JatFajPmzxaj0mFN5Yk90wvt8eUUcI1apJXSjT08dTCOxz+V9JEAC\n3iNgCgUMhYvZ7+OPP65H9vLLL+vgAXXr1pXWrVt7b7R8ks8JIOgDlC8y7zz33HM+b8/XDWBvF59B\n7GUjXrWrQPnmzJnTtTjW86ivvhXlCKwCWTj4AZ8+I5F9+oulb69Y703IRaN3D7G27yxq2i6icv0a\n3TpJxJvNEvII1iUBEvAhAVMoYOQsbdSokf7DDRcVSOfOnQXWs/hj3qBBAx8i4KO9ReDo0aPa4Kp5\n8+ZSr149bz02YM+Bf2+NGjWc2kccqZ5Jkks9schttcxbbNZXHi2jnW5yPVEuWU7K13b92AmR9Rtt\nZ/f9G17WRpu7hm9G+3fp33vfRPkAEvAuAVMo4KeeekqnosMfPEdBrOAnnnhCX3Ms57H5CCDFXbdu\n3fRsEYZ0oSDr169XxsEp5MaNG/bhrJKkUlql100palZ5R5W/+oZEffWFCsforKjtN3g4sNR5SiJH\nj7/rHmS7rvaSjX69xPJaE1sJf5MACYQ4AVMoYDBGeD74iboKoibB0CU+gvRrnlKw4V6UuxrQxOeZ\nrBM3AVitI7IVjK4S4w8bdwu+r/Hzzz/LwoULJa3yg+3QoYMgLCSUL9zfbAq4hspCX1D9OEVJVkvH\nUd17i7F2Rfw7WVxZHQ9/XyVD6KbiMSu/W7gAvfySRFD5xp8ha5JACBAwjQKOiSXckBCgftq0aTFV\nsZfPmjVLUN+T7N69W0dh8nSNZYknsHfvXh1eElGuqlSpkvgHBfBOhMf8+OOP9T4vDK2GDRsmu3bt\n0oaAiFq1c+dO3Ts1R5Vk6sdNFIOoRq+4FcdZ8NijOkBGxOQPxChZIs7qrEACJBBaBAyrktAakufR\nYC8Z1qxff/215wosTTABKCnEQkZe24oVKyb4fjPcgDHgi8OlS85ZgZ588klZtmyZnFYWy3CLQxKJ\nN69cl55nLzirYMSzrlZVkqxaZobhsA8kQAIJJIBAQa+++qo8/PDDCbzz/qubbgaMqFcwvkK2HIp5\nCfz+++8ycOBArYB9lcHHH6NHeEnHLEG2NuECZ1tOz549u6S7dVt67tzrrHxRWS1RW9QeMIUESIAE\nEkrAFIE4kB8WKery5MmjY+NmzJhR7wmXKlVKZsyYkdAxsb6PCcBlDMoXPtvBrHyvXLmikyDYkis4\nYsPSM1yQ8LNyylT5vuGLYihXHjdBQvpIZZVFIQESIIEEEjDFDLhdu3Z6eRgZYpAdBgZZWBLEvm3H\njh21EUybNm0SODRW9wWBX3/9VUaMGCFDhw7VAVN80YY/nomYzkWLFhUEDXGN74wsRTZbgqiZsySq\nd/+7FsvXPATcQEJ7FeCCQgIkQAIJJWCKGTCywUyZMkUlaykjiAcNQxhYPiMsJfKmzp8/P6HjYn0f\nEFirgvlD+Q4fPjyolS/QrFmzRlvGuypfbH0guxE+i9Zdf97NJvTvMZEryncXAS0cJYVafv54ohiu\nMZcd6/CYBEiABGIgYAoFjKVmhPrzJHANSUysXU/PYlniCfzyyy+CmN1ISICZY7AKInXB5Wjbtm3i\naH+IABtF1A5vkeQp7OOzbt2m9niTuQ81mard4BmJ+GWJWF4K/lCb7gNkCQmQgD8ImGIJGnuJCF2I\nP/AFCxbUvpgI/bdnjwpYr4yyECuaEjgCWKGYOnWqfj/58uULXEfus2VYNWMrA0Z+mPniNySX+vlS\nBdjIrRRw2nPq2nMviuV7FS4Se774UVmEnET58UbMnCGGWq2hkAAJkEBiCZhCAZcrV04nY9i4caMc\nPnxY7wdj1os/lnAB8RQEP7ED5n0JI4B9+c8++0zGjx8vuXPnTtjNJqqNSF2IuOYoSZIk0UE1Dkvy\n6GJl7Wz9aYlEDRwsFhVLWcZOFMFM2Ba3OUtmsXw4gco3mhiPSIAEEknAFAoYfUfUIde4u4kcE2/z\nEoF58+bJt99+KxMnTtTpIr302IA8Bl/uUqnZ7LVr1+ztY3WlTpp0cuFWlKR3nOWqqGnWT2aI9cF8\nYjR9RaxX1Ez5jErEoKz0LUMHiaVKZfszeEACJEACiSVgGgWc2AHwPt8Q+O677+SHH37Qyjdr1qy+\naeQ+nwql+s0336jEQhHyhso5DMOpmMQWVtJRAcOpqJ2yq0p324MbEQyulI+vgZ+eKmSkEqNRQ32u\nT/gPCZAACdwnASrg+wQYird/+eWXsmTJEq18M2XKZMohzpw5U29RXEVmISWwH4C1fEwpEGvXrq1d\n3JB3GjHBEVBylyWF5Lp2U1Q4OP0M+z8PqNR9DZ9nYgQ7EB6QAAn4goAprKB9MTA+M3EEpk+frt1w\nsOxsVuWLvLxt27YVm/K1jRQxnWG850ngWw4jrLJly+qY4K/nfVCyKCMqi6vyTZpUjLdbiWXSOE+P\nYRkJkAAJeI0AZ8BeQxn8D4Iv9pYtW7TBVXwzUAVi1IjPjGhprvGbbYZWKVM65SuydxHK9rVLV6TC\nlZtSQWXeSrpjl/2a/SBzJokYPdx+ygMSIAES8BUBKmBfkQ2y506aNElnAIK1M4KhmFmQKtBTakko\nXrhMxfTl4U71WiInlDEVlq1Xr3UfYpIIkeLF3ctZQgIkQAI+IEAF7AOowfbIsWPHyoEDB/Q+KiyF\nzS6I4Xz06FGnbsJVDRG6YlK+UUuWivyx467ydbpTnajZtCC4RoniEvHjXNerPCcBEiABnxCgAvYJ\n1uB4KCJBIbTkiRMnZMyYMdoVLBh6jj5D8qufJ8UiCBC5yBrlppRRxy7nzosKKm4/tR9guVolVLB0\n6yRGk5fFUHvAFBIgARLwBwEqYH9QNmEbiASFhArIBDRq1CidhcqE3XTrEpJB7N27Vx5TdszzVfSq\ndKoGbJgnq/MxBw+51bcVGMqnV+W4VEvQJ21FIhZDjOrVJGLxD9FlPCIBEiABPxGgFbSfQJupGShf\nhP+EFTGWbZMl8xDv2EwdvteXli1bSqNGjWTvpk3yk1K+mZTSTaJ+lN2yrtFqy3axOgTacByCUUmp\n7MaN1FLzvbEixnORImL5coZjNR6TAAmQgN8IcAbsN9TmaOi2ivI0YMAAsVgsMmTIEB3Ewhw9i70X\nn3/+uQ6JiehVxZTCPatUr8qb5XRTmn+PS2StemLEYAWtK5coJnL+ghjNXxdLu3fEwP4vhQRIgAQC\nQIAKOADQA9XkrVu3pG/fvtrKuU+fPkGjfMELUbmgfCGX1KJzOhflqy8oxWuZ+40YKo54XGKo6FkU\nEiABEggkASrgQNL3Y9s3lAFS7969JXPmzNKzZ089A/Zj8/FqCvmGv/rqK+1i1KJFC3n00Uft9yFP\nr00eUYZX2Pt1k5caiiV7drdiFpAACZCAGQlwD9iMb8XLfbp+/bp069ZNJ1RAtCgsP5tNZsyYIXXq\n1JHJkyfr1IcVK1bUcZ5t/ezUqZM9IYQKEqn+c15+Rj0jhUNWI9uN/E0CJEACJiVgvr/EJgUVrN2C\nz2yXLl2kUKFCWgmbMbUjQkt27tzZKVMReGOvGlbakFKlSsnabj1kb7IH5FnDw/Ix9HHatLou/yEB\nEiCBYCDAJehgeEuJ7CNCNXbt2lXHP37nnXcS+RTf3/bff/8pD6EMdmVraxHBNpBEARGuCly5KlO3\n7bRdcv+tfJEsb7d0L2cJCZAACZiUABWwSV/M/XYLM0cs21apUkXeeuut+32c1++/fPmyzma0fv16\nuXnzpsBAzFUcQ0tGvvW2WD0p4DRpRMqWkQiVPMHImdP1ETwnARIgAdMSoAI27atJfMcwo4TyrVWr\nljRt2jTxD/LRnfBDLq5iLiMCly2mM/L1tlA7u69JhHIwEpmdLEJqffFFdGjJe2kH3bqkAmkkWcDw\nkW5cWEACJGB6AtwDNv0rSlgHz5w5I+3bt5f69eubUvliNNu2bRMoYZvyRdngG7dlvAqpUVUp4cfU\nz0i111t3x5+4pMV4pbGISinoKhH9e7sW8ZwESIAEgoIAFXBQvKb4dfLkyZPSrl07adiwoTRurBSW\nj+TUqVPaL/fnn39W4ZU9xFeOo11YZTsag+VS9THzTeFwX4QyHrNO+USidv0pVmWkZVRWkazebS2S\nRmVqyqWWmosUFst3s8SoUN7hLh6SAAmQQPAQ4BJ08LyrWHt67NgxveyMJednnnkm1rr3c3H79u3y\nwgsv6Fy8cGeCode///4rWeIR/MLWbrly5SRTpkxSSsVlfkbNdhEc0qMaV4o3qmsPMbDPa5OqlUU5\nM0vEqGFiqLSEFBIgARIIVgJUwMH65hz6DWthuPHA2Aq+tL4SGHaVL19ekEXJJpjJImjGggULbEVx\n/k6r3IVWPllbjF37dUQrPM3dq1cVJkkiEfPnKP9ex7lxnI9nBRIgARIICgJUwEHxmmLu5MGDB7Wr\nUdu2baVmzZoxV/TCld27d0tOZWmM2bZNoIxXrVolb7/9tq0ozt9ZLl6SHnMXqCXnu2rXSfkiH7FS\n6pI2jUSs+JnKN06arEACJBCsBKiAg/XNqX7v379fh5Xs2LGjVKtWzecjgVsQ4jHnVi1VVkvHt9Tv\npSobb/LkyfXyd3w7kGLTFkmybLWIstZ2EvUceTCvGA2eFUvHdvGK6ex0P09IgARIIIgIUAEH0cty\n7Cpmo0io0L17d6lUqZLjJZ8do81Cp87KV2rXFruykeonvZrFftD8TSlatGi828UKdqSa4bop4BzZ\nJcmfv8f7OaxIAiRAAsFMgFbQQfj2du7cqRMrILmCv5QvjK36v9tWlitr5ZxK6aZRP1C+2L9tuXV7\ngigaxYqK0eKNu0vNtjvV0nbEnK9tZ/xNAiRAAiFPgDPgIHvFsEJ+7733ZODAgTrEpL+6DwOsh5Uf\n7qmL1wRuQzbB/m2SX7dI5KvNbEXx//14FZF/1X5ytaoS0b2LGMWLxf9e1iQBEiCBICdABRxEL3Dz\n5s0ydOhQGTx4sJQuXdqvPT937pycRsxmD60aKVOIRbkFJVqUW5GRDM5IFBIgARIIHwJUwEHyrjds\n2CCjRo2SYcOG6TCO/uw2shXBd3e3ilSVUi07O0qUSmwf0bcX4zA7QuExCZAACcSDABVwPCAFusrq\n1atlwoQJMnLkSClcuLDfuzNv3jzJkySpJLtjKPXrrIAtKouRpW5tv/eJDZIACZBAsBOgAjb5G1y+\nfLl8/PHHMmbMGMmfP79Pe3v+/HlZu3atbgNuTenTp9fHCB2Z6U6kZNZpEly6oJafJVlSl0KekgAJ\nkAAJxEWACjguQgG8/tNPP8n06dNl3LhxkjdvXp/2BAE9EMgD1s4IrgGjq7/++ksKFSok/2/vTKCj\nKtY8/nVC2BKWhAQCBMEERA0JKHgAdRhQwQjOAwaCik8fcSM8QRBGQEFBAYEDog83GJhDeBwkKLJo\nAIEgeA7CQ44LIpsyhLBJECEhK0tSU18x3XQ63Z3upLe6/a9z+vS9t+rWre9Xt/rrqvrqq37du9Pf\n5fCzbVAerMIbkik+3jYK5yAAAiAAAtUQwDKkagD5K5pdO2ZkZNB7773ndeXL+/HyHG9ubi5xL5iV\nL4fhw4erzRY6/PgzlUu3kLbBFNeaQr//l+1lnIMACIAACLhAoOqvqgs3IYl3CaxZs4b4w/O+sbGx\n3n2YzP3UqVMUFRVF/3a5iEZID1f8r+x/pIerb6Tjjccff5xSz5yjVOkBq0pIiCcTu45EAAEQAAEQ\ncJsAFLDbyLx7Q2ZmJmVlZdH777/v1g5DNS1VYWGhetaQ07/TNDnHa7Zyvk+q4XeFif4iPW21u5RP\n4qlniOS3Jcgdikz/McByigMQAAEQAAH3CEABu8fLq6mXL19O27dvp4ULF6oeqVcfJjO/evUqxcXF\nUURpGf0oO7hm5cvPbSatnceG1qVYOb9rkr3wcrnOV7w4Tm2SIJ0/kymlH4VOkOcIIAACIAACNSIA\nBVwjbJ6/aenSpcRrfVn5mq2PPf+Uyjl++OGHdE3O/w66xsPLVV+FmKvXqfwvQ4jMw8ydpfMPqaxD\n/vtDCunRvXJmOAMBEAABEHCLQNVfXbduR2JPEOBlRj/88IOa821kvfm8JzK3yoMNrHg3o5iYGHX1\n9OnTlHWlgpKk8o20Wd+rEkjvVKHZm8kk9+9FAAEQAAEQ8CwBKGDP8nQ7Nza0OnLkiLJ2Dpe+lr0R\nWOm+8sor9OWXXyoFHBYWRuxTemBRCXWRc73WZlS8tIg/IXINcMiGNVC+3qgQ5AkCIAACkgAUsJ9e\nA15rO3/+fDp58iQtWLCAeK9dbwVeTrRVLmvqfOWqWs37o9zwnq2b1yZ0VBbP1s9lP1emW9tR6LaN\nZEpIsI7CMQiAAAiAgAcJQAF7EKarWVVUVNDcuXPp/Pnzyr9z/frSm5QXw0E5t7xeDjXHS/XLFd5c\nWjffu+dftLtOPeope8Oh165Zni6kb+eQ/xwI5WshggMQAAEQ8A4BKGDvcHWYa3l5Oc2aNYuKioqU\nEq7rg12A1uddorZyjjfEap734/xi+qJFDHWMiaaovPMUKstFUvma5HfIm284LD8iQAAEQAAEPEMA\nnrA8w9GlXHgulvfxLSsrU0rYF8qXC1Y/RPZqrZQvX4uXvfCplwopZuhgCr27C1H7BDKlP0eh53LJ\n5KW5aH4uAgiAAAiAwA0C6AH76E3gNbfTpk0jNoDi/XxDZW/TF2H//v3U6OoV+ajKuxiZ5Fre0CGD\nyHSb3F1pxNPSGqAOmZI6+aJIeAYIgAAIgIAkAAXsg9eAfS1PmTKFmjRpor5DQnw38HBozx5KtVG+\nQto5F8gecNPHUn0gPR4BAiAAAiBgj4DvNIG9pwfBNd7Kb9KkSRQdHU1Tp06l6pQvW0cvWrSI+vbt\nS4MHDybuwdYmtMvJpcLKnV+pjk10UfbEEUAABEAABPxHAD1gL7IvLi5Wypf38Z0wYYJLT/rrsMco\naf2XNF/uv8v+qT7YvoMGrVpJAwbUzO9y1y5dqMwk/2eJikrPT2jTptI5TkAABEAABHxLAD1gL/Fm\nK2dWuh07dnRZ+bI3rLHrsmjM9QpKlGZTneVnZmEp7Rr59xqXMqzPv1ODFs0r3X+9YQMKf/LxStdw\nAgIgAAIg4FsCAdcDZkth3qEnMjLStyQ8+LSCggKldO+55x4aOXJktTlfvnyZLl68SCWyt9u+QpDc\n6sByD2+KkHY2j4b16Gm55u5Bm+imNONcHhWE1aFmLVpQ2PDHKGTqq+5mg/QgAAIgAAIeJBAQCpgt\nhHl5zooVK+jMmTPE86AN5QYA5qHbtLQ0D4rs3azY3/K4ceOod+/e5Eq51//zn3Ry/ERqJQ21CuQn\nQTmCrFzGWKmEV92eWPmim2ciqQvFFBVSyIzpFJIsN1VAAAEQAAEQ8CuBgFDAY8aMoXPnztHGjRsp\nXm5/xz6RuVd4SG4Iz8qM182OGjXKr6BcefiFCxdUefv370/s/rG6sH/fPnrgb88TL0jiXm+ZVL43\nKuRmD1i6x6A6d95BoRlLq8sO8SAAAiAAAhoRCIg54K1bt9LixYspOTmZIiIiyCR9FfOSnZ49e6od\ngtavXx/wSPPy8uill16igQMHuqR8WaAT6S8qhWsecq4vlbDZKWSpXJdbKudqK7p0pga7vg54+VFA\nEAABEAAB9wgEhALu1KkT7dixw27Js7KyLNvn2U0QABfPnj1LY8eOpWHDhlFqqutra6MLLlNdqXSt\nQwN5frFuGJVFN6PyKZOp/rc7yCR3JkIAARAAARAwFoGAGIJ+6623VK/x3XffpQS5A09juf8sGzId\nPnxYbZ+3adOmgKV+6tQpGj9+PI0YMcLtpUIxcp649H8zyHofpBI5DF0y6b+o3VvTAlZmFAwEQAAE\nQKD2BAJCAd91111qf9o90mvTiRMn1HwwbxrP8769evVSQ9K1F9XzOeTk5Kh9dtnSmR1nuBs6LFxA\nRas/o7KiYuL9kIrl0HtFq1bUdvrr7maF9CAAAiAAApoRCAgFzMx4S74+ffpUwXf06FEqKSkhVtLV\nBbaiXrt2rd1kP//8M/0jZQB99cpES3yjTLnhfDm7u7gRLrNrxjo3fTQ7iz8rrZ2Xr/yEhjYMp/Dd\n39FumYU79/MTVf4RDSlG9npD5ZzvselTqaztLURy2J1DSkoKWW/YwMPxvJWhOSAefPB+1DU3B9ls\n0D7w+1Dz30fLi+TDA5Nc8iN8+Dy3HzVz5kzKzc2lJUuWVHsvW0vzx1747LPPqPT8H9S//yOW6Oio\nKMsxH1y8lE8VVh6jHMUfl730eQsX0vgXX6Secq2vObh6vzm9df6hYXWpJDSkkoJt2bKlOan6ZkMv\n6waGePCxfkHwfqB94PfhpgJ29feRHSY9+eSTdPfdd1s3J58cB7wC9hSF1atXE6/RTU9Pr1WWBw8e\nVBsqvPrqq9S9e/da5YWbQQAEQAAE/EvAnwo4IKygrfGzJyxWlIEYeGME3tXo9ddfh/INxApCmUAA\nBEBAIwIBoYDZE9Zrr71GbeQGATynFSWHhtkZBy9PWrZsWUDg/P7779V+vm+++SZ17do1IMqEQoAA\nCIAACOhLICCMsALdE9bevXtp9uzZNGvWLEpMrJ1LSH1fFZQcBEAABEDAkwQCogccyJ6wdu3aRXPm\nzKG5c+dC+XryzUNeIAACIBDkBAJCAQeqJyz2zrVgwQKaN2+e2lYwyN8ViA8CIAACIOBBAgExBB2I\nnrC2bdtGixYtUgq4Xbt2HkSOrEAABEAABEBAup0IBAiB5gmLd2XKyMhQG0HExcUFAiKUAQRAAARA\nwGAEAkIBM1NHnrB8zZt3XsrMzFTKt5V0C4kAAiAAAiAAAt4gEDAK2BvCuZsne8tat24dLZRerpo3\nb+7u7UgPAiAAAiAAAi4TgAL+f1QrV66kzZs3K+UbHR3tMkAkBAEQAAEQAIGaEAgaV5Q//fST2i7Q\n3qYO+fn5VFxcTLGxsRQaenMzhuqAZmdnK4ch1aUzenxpaSnVq1ePQkICwqjeb7jZi1t5ebli4bdC\nBMiDuT2xM51gD2gbN94AbhtN5b7mSUlJAfdKHD9+nNjotnXr1j4vW9AoYG+Q7d27N+3cudMbWWuV\nZ1pamvISFuzW4jyCcuDAAZo48eaOW1pVpAcLi7ZxA+azzz6r3NfGx8d7kK5+WW3ZskVtOTt58mT9\nCu/FEgd3l8WLYJE1CIAACIAACDgjAAXsjA7iQAAEQAAEQMBLBKCAvQQW2YIACIAACICAMwJQwM7o\nIA4EQAAEQAAEvEQACthLYJEtCIAACIAACDgjAAXsjA7iQAAEQAAEQMBLBLAMqRZgf//9d2rZsmUt\ncjDGrX/88QdFRkZSnTrB7deF13xevXqVmjRpYoyKrYUUaBs34F24cEGtf0XbKKUrV64oFrV4rQx3\nKxSw4aoUAoEACIAACOhAAEPQOtQSyggCIAACIGA4AlDAhqtSCAQCIAACIKADAShgHWoJZQQBEAAB\nEDAcAShgw1UpBAIBEAABENCBABSwDrWEMoIACIAACBiOABSw4aoUAoEACIAACOhAAApYh1pCGUEA\nBEAABAxHAArYcFUKgUAABEDAvwSuX79OQgj/FkKDp0MBV1NJO3fupPvvv59uvfVWGjx4MF26dMnu\nHa6ms3uzBhdZ7mHDhlGHDh0oKSmJdu/ebbfUhw4doieeeII6d+5MDz74IK1evdpuOp0vzp49m5KT\nk9U7wcfVhRdeeIFGjhxZXTLt4l195/fu3UvdunWjxMREevTRR+nw4cPayeqswK62jdOnT9NTTz1F\nXbp0oUceeYS++eYbZ9lqG3fq1Clq27YtHT9+3KEM7rYhhxnpHiH/pSA4ICBdLArpalLs379fSBeD\n4uWXXxZpaWlVUruarsqNGl1ITU0VM2bMEBUVFWLHjh2iRYsWoqSkpIoEffv2FcuXL1fXz5w5I5o3\nby7OnTtXJZ2uFz799FNx3333ifz8fCHdLQr5R0Ns2rTJoThZWVkiKipKSCXsMI2OEa6+82VlZSI+\nPl7s2bNHiblq1SoxZMgQHUV2WGZX28Zzzz0n3n77bZXPvn37FJdr1645zFfHiKVLl4qEhAQRFhYm\njh07ZlcEd9uQ3UwMcpGHCRAcENi8ebN44IEHLLHyH52Qfn4t5+YDV9OZ0+v43ahRI/Hnn39ait61\na1exdetWyzkflJeXi3Xr1qk/K+YIbozOFJQ5nS7fzzzzjPj4448txZ0zZ454/vnnLefWB9IPsOjR\no4eYNm2a4RSwq+/82rVrRb9+/RQW/tNixOBK22C5Bw4cKObPn68QHDlyRDRs2FDwHxSjBOnrWdX1\n0aNHRUxMjEMF7E4bMgobR3JgCNrJEMbJkycrbbYge31UUFCgnIpb3+ZqOut7dDrmITZ2pC57cpZi\nx8bG0vnz5y3nfBASEkKDBg0i+e9XXd++fbsasu/Zs2eldDqf2NY1c8jLy7Mr0qhRo2j69OkUERFh\nN17ni7YcHLWN3Nxc9d706tWL5I8yyT9kdPDgQZ1Fr1R2V9sG3zRz5kxasmQJDR06lORIEX300UdU\nr169SvnpfFK3bl3asmUL3XbbbU7FsH13nLUhpxkZIBIK2Eklyh4fhYeHW1I0aNBAHcuhV8s1PnA1\nXaWbNDqxlY+LziyKioocSvHrr7+q+a4PPvjAUDug2LKQvRgqLi6uwuGTTz5RjB5++OEqcUa4YMvB\nUdvgnbLkkCOlp6erdpKSkkJz5841AgIlgy0HvuiobXz77bfKMOmOO+6g1q1bE8+hs7FSsAVbZo7a\nUDBwgQJ2UsvR0dF0+fJlS4rCwkKqX7++2nrPclEeuJrO+h6djm3l47Izl1atWtkVQw6vUe/evemN\nN95QBll2E2l60ZaFPQ78AzNu3DiS0xck54CV0RH3BOU8qKZSVy22LQdHbaNp06bK+Gr48OEkh2pp\n0qRJ9MUXX6htG6vmqt8VWw4sgb13ghXtxIkTKTMzk6QtBbEyllM4tGvXLv2ErmWJbZnZ41XLR2hz\ne3Bv4FpNNcXFxdGJEycsqfi4TZs2lnPzgavpzOl1++YfUf5Xz1acLCsHZnHLLbdUEYUtHx966CGa\nMmWK6vVUSaD5BZaflak52Hsn5FwntW/fnhYvXqySnT17luRcH61YsYKMMhzv6jvP6VjxmgNPT/C+\nydKYz3xJ629X2wYPVUsbCbU6gAXm6RppR0E5OTnqz6rWENwsvCttyM0s9U3uaHIY14UykGAr3uzs\nbHX89NNPi8mTJys0Fy9eFNu2bVPHbEjhKJ1ROLLhxJgxYwRbba5Zs0bcfvvtFmMrtopmq1gO9957\nr5D/9JXBluwJqm82zjBKYOMjuQRJsIW3/PEUUtEKtmjlIJdgiQMHDlQRdd68eYYzwnL2zlu3Ddm7\nEc2aNRNyKZLiIudBhZwPrsJI5wuutg35x1TIHrASlQ06IyMjBbMyYrA1wrJuG87akBFZOJMJVtDO\n6Mg4NpmXRjRCztmIPn36CDnUpu6Qa/iUFaP5dkfpzPG6f7Oy6dSpk5DDzmqZAStdc+AlSRs3bhTf\nffcdr7yv8snIyDAn1f6bl2HxUjTZ8xHSeERZOJuFGj16tBgxYoT51PJtRAXMwjl6523bxoYNGxQr\ntojv2LGjYOVjpOBK22B5uX30799f/YHjP3G8ZMeowVYBW7cNZ23IqDwcyWXiCH37774pOc/f8ByX\n/Mfq9IGupnOaSYBHslENW7MGe+B5K7ZgNZIVa03q1NV3nn9m5LIsQ787rrYNfncaN25cE9yGugdt\niAgK2FCvNIQBARAAARDQhQCsoHWpKZQTBEAABEDAUASggA1VnRAGBEAABEBAFwJQwLrUFMoJAiAA\nAiBgKAJQwIaqTggDAiAAAiCgCwEoYF1qCuUEARAAARAwFAEoYENVJ4QBARAAARDQhQAUsC41hXKC\nAAiAAAgYigAUsKGqE8KAAAiAAAjoQgAKWJeaQjlBAARAAAQMRQAK2FDVCWFAAARAAAR0IQAFrEtN\noZwgAAIgAAKGIgAFbKjqhDAgAAIgAAK6EIAC1qWmUE4QAAEQAAFDEYACNlR1QhgQAAEQAAFdCEAB\n61JTKCcIgAAIgIChCEABG6o6IQwIgAAIgIAuBKCAdakplBMEQAAEQMBQBKCADVWdEAYEQAAEQEAX\nAlDAutQUygkCIAACIGAoAlDAhqpOCAMCIAACIKALAShgXWoK5QSBWhLIycmhpKQkOnbsmMpp2bJl\nlJqaSkKIWuaM20EABGpCwCQbH1pfTcjhHhDQkMD48ePpt99+o8WLF1NycjJ99dVX1K1bNw0lQZFB\nQH8CUMD61yEkAAGXCRQXF1NiYiI1btyYBgwYQLNnz3b5XiQEARDwLAEMQXuWJ3IDgYAmEB4eTqNG\njaJffvmFRo8eHdBlReFAwOgE0AM2eg1DPhCwIpCfn0933nmn+rRs2ZJWrFhhFYtDEAABXxJAD9iX\ntPEsEPAzgQkTJlBKSgp9/vnnlJ2dreaA/VwkPB4EgpZAnaCVHIKDQJAR+Prrr2nDhg105MgRatKk\nCb3zzjuUnp6uhqMjIiKCjAbEBQH/E8AQtP/rACUAARAAARAIQgIYgg7CSofIIAACIAAC/icABez/\nOkAJQAAEQAAEgpAAFHAQVjpEBgEQAAEQ8D8BKGD/1wFKAAIgAAIgEIQEoICDsNIhMgiAAAiAgP8J\nQAH7vw5QAhAAARAAgSAkAAUchJUOkUEABEAABPxPAArY/3WAEoAACIAACAQhASjgIKx0iAwCIAAC\nIOB/AlDA/q8DlAAEQAAEQCAICUABB2GlQ2QQAAEQAAH/E4AC9n8doAQgAAIgAAJBSAAKOAgrHSKD\nAAiAAAj4nwAUsP/rACUAARAAARAIQgJQwEFY6RAZBEAABEDA/wSggP1fBygBCIAACIBAEBKAAg7C\nSofIIAACIAAC/ifwf2eP6UqIKaxHAAAAAElFTkSuQmCC\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -i P\n",
"plot(ecdf(P[P<1]))\n",
"plot(ecdf(P), col='red', add=TRUE)\n",
"abline(c(0,1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## LASSO with $\\lambda=2$"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"P = []\n",
"for _ in range(100):\n",
" P.append(simulate(check_selection = lambda z: np.fabs(z[0]) > 2))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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16iWdO3eWFi1auNecZyRAAiRgUgLbtm2T4cOHy7Bhw6RAgQImbYX3apcqVUrg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\nRK5CYII=\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -i P\n",
"plot(ecdf(P[P<1]))\n",
"#plot(ecdf(P), col='red', add=TRUE)\n",
"abline(c(0,1))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"jupytext": {
"cell_metadata_filter": "all,-slideshow"
},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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