{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "By using this Application, You are agreeing to be bound by the terms and conditions of the Halerium End-User License Agreement that can be downloaded here: https://erium.de/halerium-eula.txt\n" ] } ], "source": [ "import numpy as np\n", "import halerium.core as hal\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Causal Models - the Basics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Causal Models are models where relationships between parameters have a causal direction." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Correlations and statistics\n", "Let's start with correlation and statistics first.\n", "\n", "Consider having two parameters $a$ and $b$ and some example data for them." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "cov = [\n", " [1., 0.7],\n", " [0.7, 1.]\n", "]\n", "data_ab = np.random.multivariate_normal(np.zeros(2), cov, size=(1000,))\n", "data_a = data_ab[:, 0]\n", "data_b = data_ab[:, 1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data for a and b are correlated. Their individual variance is 1." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1. , 0.70200685],\n", " [0.70200685, 1. ]])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.corrcoef(data_a, data_b)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.9819749563818557, 0.9483082972434826)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.var(data_a), np.var(data_b)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-4.0, 4.0)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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yNzrr3cYokpJD/Tn29+Y4OlhQBn6LXubZ8zMc6s/z7NE+nIxFlCjDOFxythSheJia8fdikB+U0dWa+XePDrNrNJo7slE4difMBt+qzvqKArZ2fzfA43tLwNa9zM41MISdhsgTKZmqeJs+RoeHNQv+XibHPQiN9dWpmn/w8cPaiG8Bbcw1Gs0d2chY78Y8Z7cxKudsqq2IE8MF+gtO6mVuZRzqbr8Gd2OQ7+em40FVx7+f0MZco9llPGxRjY0M1W6dDd5tjFZf0616mY/CNdhOdEvavaONuUazi9gOD2YjQ/Uwxlo+6A3MvRo1Pdrz3tgJqZrdjjbmGs0uYjs8mM0Yqgfp4e2WEOy9XoP3s4zpbkxT7DS0MddodhHb5cFsZzh2N4Rg79UQ75YNy4Nit6YpdhLamGs0u4j3owez00Ow6xniT58aZGymsSkD/6A2LLvF29dpintHG3ONZhfxfvRgdvoGZi1DvFj3+er3LvORo/23edqdz3Qb2InlFpYBF6aq1L2IgmtxdCBH3V/ZB74V47zbvP2dUoy3W9GiMRrNLmI3imrc63Stna4KtpaS2nTVI4yT24R0vn7u+poCPE0v5GdXl/DDmIJj4ocxP7u6tEIjfqtKe9st5qN5uGjPXKPZZewmD+Z+eIdbDcHuhNa9xUZIfz6z4n1F1+Ll0QWePdJ/Wzj9tZkactVxJdA97uVOofjOP1d7+zs5PaG5v2hjrtFoHhj3Kxe82Q3Mww4tj05VmK95/ODSAr05m1MjRVzbwjLEbYa05kUIxJp66DU/4qPH+rgy16TqhZRcm9N7i/jxLRO/nnF+Z7LC+GLztu+ctQ1qXrRj0xOa+4s25hrNI8pOKH66H97hVr7Hw6x872wc4jih5JqMLza5Ot/gY8f6+dKvHuPl0TkqrXBFbcNTB8prGtjhkotjWXzkaH/6eqUVMlS89b71ageqXsT+3txt3zmMYiqtEHj/1Fe8n9E5c43mEWS7Jpmtzo9nTHFP07W+/fYEL/zJW/zl25OMLzS4Nl+/4/d4mPOwz56fIY4TxmbrmIbBB4YK7O3JcnWhCUDWNnj16gLfHZ0ljGK++Ikj/NZzh9bM///2cwc3rAtYr3agnLXW/M5+LHddfYXm7tGeuUbzCLIdvdlrhbhnqj6JlBzqz2/ZOxydqvDV714GAf35DH6UcHGmzsnhwrrf42FWvk8st5iuejiWgWubAJRci6lKi69+9zIfOdbPp08Np98Z7pz/PzpY2FCYZ63Pnj0/s+533k31FZp7QxtzjeYRZDuKn9bcQPTlCKOYctbecv/w2fMzRImkL28jhEgN5lTFw7bMNT/zMFv39vVk+fn4Mn15m/max2zNx48SpJT05pJ1N1L3YmDX++z7rV1Rczs6zK7RPILcy6zqrdIJrf/Fzye4MFlhvn5r7Gcn3PvCZ07wld98khc+c2LThmxiuUVf3saPkvQ1xzJYaATrfo+H2br3/JlhLENwY7HBjaUWQZwgAClhuRUyNl1N37vRRupe0iK7sV1Rc//RnrlG8wjysDzU7tB6wTG5Mtfg3ekah/pyPHGgjG2ad72B2NeTJQhjxmbrgDLkVS/CNo079pg/rNDyqZEyX/rVY3z5m28jpSRjmTiWQTOIQUp+cGme64stCq7FnqLDkcHCuse617RI5zt3igX/6IfXdrTim+b+oz1zjeYR5GF5ax0jFEQxDS8ikhLbFMxUPc5dXuTGYvOuxV2ePzOMaRqcGCrgWAaLjRAk/EdPjXD2/Mxdi9DcTz73xD56cxkGCg6ubeLaJv35DLGEVhCz1PB5d6rK98fmyGXEuse5H4V721X0qNkZaM9co3lEud8e6lotYp3c/KtXq5RzGQquzWIjoBFEjLgWwyXnnvLDnYKvjG3y3LEsJ4bzvDw6t6MkSvf35ah2FaDdXGpimYJESrwooeBYOJbBn78xxSdODD2wwr2tePd327a4E9odNWujjblGo9mQ9cRYOsIkdS+i4JgIITANwQE7x4eP9DFV8TY++B1YvSF58aWxTRmsh2l0fvu5g/zBX10EoOiY1P2IMErY15NlT1kZYykli41w3bD5vaRFOt/1L34+wXDR4QPDBQYKbnqs1d793Qrr7Dat9/cb2phrNJoNWc/r6wiT2KbAD2MQAj9KOLOvtCnPcqtGdzNV+msZna98Z4zhkkMQy/tu3D/3xD4A/vjcODNVj7xj4VoGw6Vb6/SjhL68vW7Y/G6nhnV/1+GiQ9WLeP36Mh881MNAwV3zHtxtfn43jKJ9P6ONuUbzCPGgPNL1jOhUJeKLnzjC189d54dtSdOnDqrCt408y7vx9DYTjl5tdMI45uJ0lfMTkt68zXszNc5PVPjyZzdfWb/6up4Yzt823vRP/+FzjE5V+Pq563z7F9NcmWswXHKwTAM/SjjUl7vj5uZuiti6v+vxoQI/vjRPzY/5zjsz7OvJ0pfP8DvPn1zxmbttW9Ra7zsbXQCn0TwiPMgCqDu1up0aKfNPP/8E/+oLT/PJk0OEMZsquLubqV6bmaC2upjs7RsVal5EECeUXGXgr843+Ma565v67quv69W5On/wVxe5Nl9fcZ2//fYEX3vlKhnL5LmjvUSJZHyxRZQknBgqYG5QhT86VeGf/Nnb/MOvv8H3L85iGWx4D28rnBMC04AgigEwxO1Fd3fbtvgw2x01W0cbc43mEeFBjrzcjBE9NVLeUj/53VRwb6ZKf7XRmap6WKYglzFT8ZmCY/Lmjc1tclZf1+maT96xmK76K67zH58bT/98ck+Zzz2xh6ODeRIJRwYLd9zcdDYM5yer9GTVNfn5jQpBW3BnvXvY/V0vzTXaUQ61wfrkySEO9OVu++zdjpTd6aNo3+/oMLtG84jwIMOgW8npbjbUf7cV3BtV6a8uJosTiZTQm7s1krQVxkwtt3jm//YSYZxwoDfHP/rk0TT/3c3q61r3IoqOSdUL09eKrsVM1ePZI33pa1Kq3vjlVshGpC1+cULRsRBtj/rSXINnj/RxoS3Ms/qadn/XWrt2IYglZ/aVAPCjiJcuLN72ubvJz9/t5zQPB23MNZpHhAetS76ZVret5MHvVMG91oYAbp/Zvd56OkNOBIL+fAYviDENgZSS5WbI+EKDKAHHljimYHyhyX/+l6MAKwz66JQaL/rz8WX6ChmOD+YpuNaKVjS4NfmsMxFtrubxxvgyAMNFZ8N6gM6GoeTaeGGMaysBmroXMb7Q4MZCi309uTWvacfAIkAIwQcPlRkouMzXPV69skTRtdb83N0YYa31vnMRUsqN37VDeOaZZ+Rrr7223cvQaHYk3Ya02zg+zNahF18aSzcU83WPS7MN5us+/QWH3/vbp9ftd74wVaHSiii5FkNFh5mqz4G+XPo9biw21xzY8ulTgysK0br70Ls/W2kFhLEkiBIWGwGLjQDXMpAC4kQiBNiGwcmREn/6D59bcT2TJOHd6ZryliUMlzJcmW/y9MEeDvbnV6ylc+4LkxWq7fB3p7K8c11e+MyJda9bGMe8fn0ZxzKUa9/uDjgxVFihILfWsVbf/1fG5qh7Ec8e7WOw6K743PNnhnW/+C5BCPG6lPKZjd6nc+YazSPCg1R9Wz3adKOCrPm6x+vXl/HCmL6czWI9WLOQqxMqLjg2p0dKnBop8c5klavzDcI4TnPS83WfxUawoh4gSRK++t3LKwr+vvq9y8RxsuJ9B/pynBwu8smTQzy+r0x/wcEyBWGSICWYhjLSrUAZ/g6d0PfhgQLPHO6lnLUJk4RWJPmtjxxgqurzrbcmuTBV5dOnBvncE/vS6z9T8ym5VmrI4c4pj04+2jZNnjqo7tdSK+LxvSX292Y5NJBf8f61jrX6/gdxwoeO9KaGvPO5C1op7pFEh9k1mntkJ6liPYgw6FZC551Q/6XZRjoa1Atj+gqZtJBr9WdubyWTFByTS7ON1BD6UYxgZWX2VMUjSuSKvucwTpiueiu82E4LXceLffGlMf5fP6iTSDDahxQChCHoLv6+MFWh0gyp+REl16Y/byOl5MZikz9/c4qTwwWePdLH+EKDr37vMn/+5iSP7y2nKYGtpDxW5qMjPnlyKP0ddUc7NjpW9/3vfK4bFUWI2NeT0/3ijxjamGs098D7QRVrK2IhnTz4fN2nL6fyv36U8Pje0rqeaXeB2VzNY7kV0GrnuI8N5hksujiW2hT85MoCVS+k5NpMVVqMlFcatP58Rmm4t5mrebwzWSWMJS++NMbzZ4Z5/swwX//JVWqtmJCEREqiRBl2AamHemOhBULNKF9qBIxOVekvZNItxcWZOmGccGVeefPVdnX31165mobcYfOKbuttxO5WHW69z5Vc65514O8HO2kT/Cigw+wazT3wINvBdgpbaSHreJj9BYelZoRjmzx9sIfB4tpqZHCrvapTNFbIWMhEgoQ3ri9zda6uqsKbAZVWSCGjBGkqzYicvfIRNlJ2sQxBpRUyU23x6pVFFuo+Aslfvj3JC3/yFlfm6jz/+Ah7e9zUkGdMwd6yy0DB4WuvXOXr565zYlh5936UUPNDDCGotiIcy6DkKr31n9+spH+v+3F6/8dmGuumPDabslh9TbeaPlnvc4/vLW97v7geCnP/0Z65RnMPvB9UsbZaJX9qpMzv/e3TK4qxOj3Ja3mTJ4bzfPV7l5mueGQsQW8uQ08+Q9GxaIYx0zWf40MF9pRcpms+dS+ilLXJ24JfTNa4uezTl7fZU3IxTYMv/eoxxmYavHp1AcsQxKaBZRr0OxZVL+Kr373Ml371GK0w4cpcfUWh2b4elytzda4tNDg5XORIf46FZkgzSMhn1MYhiBPem62TtVV72v6eLH6UUGhveDr3fy1Pe3Uk59p8nRf+ZJr9vdk0RL+Wkb7f1ecPYzzundDSsPcfbcw1mnvgQbeD7QTuJsy72Z7k0akKL4/OcWKowHzdJ4gS5usBzx7p5QPDJRIp28VckkMD+TQXPlfzeOP6MtmMQV/eZqERUPUivvSpY3zuiX18DrXRGl9o4EcJrm0CKmS+2AhTz/kf/+nbJDKhnM0oQz7fJGMKbFPNTq96EU8f7FHnrHpUvYi+vIUXJjSDmChOmKv5OLbJ43tVb3f3/V8dSp6veakRm697XJxRs9q7Q/QPOkWzE/rF3w+b4IeNNuYazT1wL9Oudgv3IjKy0Xu6PbTpmq+GtQALjZAPsNIwdm+aLs01QMC+nhwfOdrPfN3j/ESV//pvLjM20+D5M8Ps68ny5vgS/flbYjHdA09OjZT5zOnh9Lg/ubKgWsJQ4fowVm27l2br7Cm5vDtZpb+YScVnFhshPbkMVS/iY+0q+e4IxFr1FD+4tMDHjvcBdlok6FhGGqLvXJMHbVg7x+/c005a6GEZ9PfDJvhho425RnMPPAgv52EWBq13rrVeX6s/+l7p9tCOD+Z5Y3wZxxRUWsFtofnuTdNiPcA04PhQPm2Dy5iqxazj4T62J89yM2Su5pN3TIqOjWGIFQNPujdjlVaAYxr4seTpgz0IAe/N1Lm51GqXu0vmaj5zNZ9S1ubDh3s5Plzk3ekqRwYLt93/tca19uZsLkzWGDqZpeqFFB2Vgqj7EX99YZqiY1HO2asv031nuws33w+b4IeNNuYazT1yP9vBHuZDdr1zdSqx43ab18/Hl/nO+Wm+9KvH1pQ7vRe6PbTBosuR/hxvjC/jRQkXpqr89nMH0+/dvWnqK2QYKTkMFNwVHnUxa1HO2iw1fP78jSl+aW+RX0xWaQYxQSQ5s7e4YuBJ92bMEAYIwdMHy2lvdt2LqLYi9hQdLs+axInEEFB0LK4uNLFNg9NtTfrVdG9UOgI6lWbAUivi2nydomMxV/dZqAcMlxyK7Zx+tRUxOlV5oEZ1u3PWOyHU/6ixrcZcCPHfAb8OzEopz2znWjSancDDfMh+49x1rszV02lix4fy6cCQPUWHsVlVRd6Xt1Xh2Pcuc3SwsGIdd4oibCbC0O2heWHE2EydvGPxqVO9NP34tv7tjtEcnarwh2cv8v2Ls1xbaOBaBlnb5KPHB4BbPehPHuxjX18uVaJrRfK2jVFnM9ZZS8YySaSk5kVcnKlzYrjAdM2nP59hoREAKiTs2AY/urxAM4zTtrfuqMY7kxXem6mluXjHMihnbWzL4OJ0nZ68TbUV0Zez6c1l8KMEgBPDhQduVHdCzlpLw95fttsz//8A/zXwr7d5HZr3ITuxz/VBPWTXmsf9g0sL9GQtio6FFyoZ0SP9WS5O17g8W8MyBEMlFyEEJddioRGsMDJ3iiIAm4owdHtor15doOBa6ZCQjYrDOuM9LUMQJ9Ct+LLQCNJc+UDBZaDgpsV060nKTiy3yNkGQRQzVVH524762qW5Bj05m4xlsNgIqHohmdAg71icGindFtUoZ22e3F/mZ1eX+PHlRQYLGbBUCP9Dh/vIWCblrE3BUTrvdT+m4Fo8vrdEf8F54EZV56wfPbbVmEspXxFCHN7ONWjen2x3znA9HsRDdq3v+tXvXcaxBEKIdCxoK4g5d2UJ1zJohTGtIGapWaOctenLZ+jPZ1YYmTtFETp/D+OYn16tKuNnGnzj3HV+//NPrFhfx0PrbGQWGz5/c3GOVhDjto3r6gjFN85dV9XvccLecpaaH+HaJpdm62QsE9s02FO6tSlaSzym40V3X5vVevYdFbWCa+GHMXnHUvKvAkquTalLXwDgj8+Nc3qklF6XZ48K/u0vpllqhfQWHB7fW2KwqDYWE8stHt9bvu1+V1rhAzeqOmf96LHdnrlGsy3c73D2/fLy7+dDtrOmly7MYJuCx/eWMISdyp66tpGGdtWozoAoSTgzVOSn15YQQnm9dT/CjxJGyu4KI7NRFME24c1xJarS8f5/cGlh3Xzwvp4s1+brXJyp0wpisrZBEEmCSAnKdDzW0akKP7i0gGNCI0hohTFSSvpyNjdbIQhB2bUYm60jBGQzJj+7uoQEnj3au2LjttGGZL7mqXNZgjCW+FGClBJTAFIV7XV/99VjUAeLLieGCyw2Qp472p++3tmgbZdR1TnrR48db8yFEF8Evghw8ODBbV6N5lHhfoaz76eXf7cP2bXC6J1wbyITkAZvjC+namwd2dMPH+nl0lyDuhcRRpKhQoYrC02QkiAGISQC6M3aTFd9/pN24RjciiIEUcxbNyvMVD3iRLKvJ8uT+8ucn6ym+uygxnP25uzbQvWddWdMwVs3K7i2mRpyCfTlbS7NNchYJvt6spw9P4NjCebqAY4p0vfO1wP68hlOjyjp2LdvLPHDSwv4UUw+o4aeDBVvbUY6513rd/DOpBp9Ws7afOx4Hxcma0xXPQqOxUhPlkq7KK57iMlaY1AvzTWYqng0g5irc3UODeRXGOyHbVR3YmpJc3/Y8cZcSvk14GugRqBu83I0jwj3M5x9v738rRYGrRlG/+5lTu4ptNeVwQtjHEuo/mxUKLcTej41UsS1Lb5/cYYgltRaIaZpgEiIYjBNgR9Lyq51W4HXpZmaqhSPJaYBSSJZbga8N1tnpuoxXHSQUnm0fpRwuD/LSxduGe/OqNNOiLsVxuQdE9c28aOIvrxNT1ZNXesYwD/64TUylgESlJq6wDQkXpSkuei5msdMLWCw6DBX89hTcrgy36Qnl2Gw6KYbt/V+B1UvYn9vZxiJzdDJW+974TMnVsiRFl2L8YUGF2fqlF2Ln1xZYE8xw3Q1AAG5jMlwKcMr780TvjtLNmPyoUO9d32/75admlrS3B+0NrvmfUln5GSlFZJImf75+S7Pc7Os1i6fq3lcmKzwFz+f2JT29la1ulezlj58lKhiL1C92J3w8FzN49Uri4Sx5KPHVDj4x5cXCaKY03tKOJZJLCVSSmzTwG5XYA8WHaQQK4zYqZESGcuk4kXEiVJZO9ifo7/g4EcJ/QUHhKDuxzi2ydGBHGMzDWxTMFJ2eWeyyrtTVV6/vsh3R2e5MFWl5FpYhsFvPLmP588M05d3WGyGuLZBzjb4ox9eY3yxSbUVsa/HxTQFgap+w7UNlc9Gicp0NNOFECAEjmWkm5nr8w3GF5tcmKrwk8sLXJ2rp7+DG4tN5mseP7kyz0+uLDBfV9exO3LTrXv+7nSVi9N1TgwV+PDRfk4MFfjFZI1GoIz/scE8C/WQOJHkHZN9ZZexmTp/ePbiQ9Uifz/MEXg/s63GXAjx3wPngJNCiJtCiH+wnevRvH+4n7O/O4NCgHRYSNWLGC46Gw6QuB8DJ9YahNKROAVVzf3BQz0IIah5EQXX4rljfZzYU+aTJ4f41GNDDBZdcq7Nh470kjFVaxYIio5JlCjjXs5atxkEyzTIZUwcy0CiWsLmaj6VVsDeHpejgwU+fKSPY4M5Xru+xGxNheIXGz7VVkgjiJmtehQcEz+MCWPJdNWj0grpyzucGinRn89Q90JevbrE+EKDOIqYqXhcX2iAVJPSevMZ9pSyymNH9Yc7lqoJ2FNy081MrRVyda7OmzeWGSk5PLanxMk9BcZm64xOVQmjmERKiq6NYxpplf983bstcnOq3V9+eqTMR471c2SwgCEERwYL9OYyjJSzfORoPwuNkGa7BiCR4GYsCq7FYrs74GGxlYE5mt3Hdlez//3tPL/m/c39Cm92FzFdmq2nr39guLBhyP1+hOjXChXvKblU27nZomthmyZHBwsMFpWBNLrauFaHnE/sKbLcCKgHkSpEy5g8tqfI4YHCbTnmgmshliUVP6LPMMiYyoA2A8lQweG3njvEN85d50eXFgkjycHeLKYheP36Mo0gQkpJ1Yu5Mq886YxlMFRwKGeV5GrTC7k4XQMB+YzEj9Q87pJr0ggT6n5E3QvJOyY1PyZJJM1AGfJqe4P1wUM9AJyfqIKQTNd8nj7Yw+EBpfN+eKBAb95Jr59tmYyUXaVGZwkypuD8RJWjg4U1C9PWyrt3b6aqXkiUJJiGwDHVZsOxDGpe9FANqW5He7TRYXaN5h7p9vJnaj4lVxVbDRTUA/5O3s/98JbWShmYpsGXPnVsS+MvO8fZU3QwhKDk2gwVHT50qBfDMFK98+7PHx/ME8QSA4FEEsUJcSIpOBayfW0Gii6femyID+wpYlsqH+5YBq0gphGoY2VMgRcmzNd88q7FC585wT/4+GGuLDSRQM42iRM1hEUAGdtiuORwsC9HJGGxGTFSctjXm2WuHjC53MIPY04OF+jLO+lm5p//nSc52JfjYH9+xTXoXPPO/Rgsujx9sAfHNgljSRAn60ZuVl8TUJsp2zTUZsqxEAiCWKa67n6UkLGMh2pI72dqSbPz2PEFcBrNbqDby9+s9zM6pSqm3xxfYqDgcHwoz0Bh/bnfqz/bXZX86VODjM00bquI/twan12vFaq7sroZxlS9iHLW4vBAgRPDec6en+HCVIUbCy1ODBc4NJAnY5kUXIu8bVDx1ZCUgUIGx1LqaC++NMY7kxVOjZRS7fVmENHwI5pBjCGUlxrEEsdWOe6kXeZ69vwMYZxQcCziRGKZBomUxIlqRzvQV0QCBUcZ3L725imXUY+1Tk/36muyloc6vtBgqqrGq743U0s/O1h004r9s+dn+KMfXrutCnyt9rLOZmpspkE5p8bABlGCIcALIup+zMH+HM+fGX5oFea6He3RRki5ewrEn3nmGfnaa69t9zI0O5Sd0HbTXTHcbSxXe3Wd98VxwthMHQRIKXlsTxHDMO6Yv9/sOe60xq1cp2+/PcFXv3uZKJH05W1ytsF0LUhncM/XPOx2FXln6AmAZYBpGFxdaDBcdPjwkT4W6wE/vbZEGCd4YYRjmZimwb6yi2Ua+GHC/r4s/+1vf4gvf/MtxhcaVFoh8/Wg3fMeEsYqp/38mWF+fGmByUoLQyjZ2d5chlzGpOZFPL6vzFd+88kNr9/4QoM3xpd56kAPedfk1StLCOBDR3pxbYvrCw0MITjQl1v3em90TUenKnzj3HXevFFBInnqQA9feO4QwD3dS82jjxDidSnlMxu9T3vmmkeCndJ2s1nvpztXXnAtLs01WKwHTFV9fu9vn77jmh+mfvvoVIWvfu8yCJUH9qOE2ZqPbQomlz0e31vmo8f7eXl0DlBTxgBqrYCaH2MaAksIpise5y4vIlAiNUJATzaDa5t4UcxMzefoYIFDfTkKrpV69Eks8eOEgUJmRSj7l/aViBPJUitESnBtQRQnTFU8teHIWOtGN1bfo6mqz1MHetJZ6c8dUznyt25W+LXTe9hbdtPNynrX+071Fx1D78eSz5weXmHo15qstvrYGs1m0MZc80iw3VOgutlMYV130VQnnLuRdvg7kxWqXsSNxSYHerMcHyqkoiWbzbNvdtPTrR43XfHY16M02uNEstwMcSxBb15QaYW8PDqXhvlnaj7FdjGabapZ3VGcEMQQxjHTFZ/evM1IOUsYq+87XMxgmSanR0pcX2jQCGIylplqm0dxQj5jks2YlLJ5Pnqsl/OTdf7q/DRmu8UqjJXAjEAyVwt46uCdQ9jd9+jL33xrRQHbQMHlEyccpioeL3zmBF/+5lv0Fe6urmGj671W8ZwXRrx6dWFXC7vshCjZ+w1tzDWPBDthCtRWWJ23na97nJ+oEsTJmtrhcZxwc7EFAvwwZq7mU/WiVNFts1XJG8mXrs6LJzIhYwkmKh77hWCxGZAxVTFXOZtJPz8200gnmn3/4qyq3LYM2i3e5DMWcaKq30fK2VQVDmC5GdJXUJ5vtxfc0TbvaKr/+hN7U2W7kZLDlTm1UYgjSSlr0QqTVDHud54/Caw97GV1fYFjilS1rUP39byXKvCNNpmrjz1X8/jZ1aX2ddqdwi47JUr2fkNXs2seCdaqKN7JbTfdlcWztRbnLi9S9yKe3F9e0WveMQbTNR/HviXg0mm7ujRb31JV8nrV8+9M3up3rzRDEDA2W8cyDFWBLWGu5hOECbGUGEJwfCiffr6zaXr+zDBLzRDbVGHvKE6IElUUt9wKMQVcnW9wbb5Bww9xLAPHNvnnf+dJXvjMCfxY3rY+xzLSqvcfXVogSRIuztQxhSBjGVimQTNI+Ozjw/zGk/v4jSf3cWqkvKZISpIkfPW7l1f09U9WPG4sNtN78f2Ls3zv3Vnmah6jU5V7qgLfqFth9bHfmawigTP7SrtW2EWL02wP2phrHgl2W9tNdzvbWzeqFF2LZ4/2MVzKrnj4dYxBRwQFaP97i5JrMVPzNxS86VaYG19scn2+seLfd+RLO+et+REl1+ryrAVDxQyxlO3/wbNHetPWu+5N06mRMh8/3k/WVspwlVaEQLLUCIiihGLW5kCfeu+1hSY3l1qYhjIAo1OVDQV4fnhpgUvtOeuDRYc4AdNQ0YqXLsysMMJrGdLOnPNuQ3OoP89wySGMYn50aRGAjx5TY0o7VepbFRj69tsT/J1/dY6XLszwpz+7wdh0dcX17r5e3ccOY8mzR29dW9jZEaa10OI024MOs2seCbaj7eZe84KrR3/eScilM4JTaZYnDBZdTo2UeK6tFX6nNXaHPMMo5o3xZYAVQz/KWSt9AJdcu63lblD3Yz54qIfzE1UGTYOnD/QwWfEYKmVJpFxzytfHjvfzg/fm2dvj4gUxjSCm6gUcH8qRYGAZBoPFDM2FmAR49kjfbfPAYW0Bnt6czfWFJieGCwihZGEnl1uEiSSIJJ967JYRztnGbeHzzpzzzhCUuqc2G832te3N2ZzZV1phTM+en+GFz5zY9L399tsT/Od/OUocS5AJS82Ifzc2RyIlIz25265Xd/6+M3K1m50cYVoLLU6zPWhjrnlkeFgDK+D+5gXv9PDr9DDvKTqMzdSptiMOecek0gr50qeO3fHYq3O2HdWzqapPxjbTTc/Z8zPpGo4P5Xn9+jJ+lFBqRwX8KGF/b5aBostHj/ev2dPeYWymwVMHepiuqb7tA/2q/WupFbWVzyQNPyabMchnLIZL2RWf7WzKxhebGEJprr8320BKOL23yOW5OlfmGkgkliFIpGRv2WWo5K441mylxZWFJmGc0J/PMFJWQi5ZW02Qi5OEpUZApRVhGDBQcOjPZ3j9+nIq+nM3HuV/8/0rtHylnJexbCwzpuZF/OTqIv/Lj5bvuMl8/swwX/nOGG/WffwoxrFMBgoOf/ez62/Ydhp6Vvr2oI25RnMX3M/q+Ts9/LojDjNVj0tzPnlHFUftKbm8PDrH0cHCuudcqzAw55jUV9UXdK+hL++wp5jhF5M1Fuo+l+canNlb5NRIKa1ev9OmZWK5xaGBfNrqNV/3uDxbI4wlB3pz+FFCzWtQzmbozTvp5zqGs3Pc77wzDUCpHZU4d3mBJFEqc7VY4pgCM2OqUalSpjl8AD+KOD9V45f3l5mueiw2QqqtiP/o6RH+/I0pvDCi5sfUvYi4rVIzU/WwDEFPLsOl2camBXxgZZTmvdk6OdvAMlWkxbVNTAF+LO8YRemQtLU/BGLF33cLWpxme9DGXKO5CyaWW9gm/ORKlaoXUnJtjg7mmFiObnvvRuH4jR5+nYjDi8CpveUVHnylFa47H3xfT5amF/LKTI0gTii5Nv15m3en6xTXqJburOGdyQrTtYCPH+9nquJR9SKuL7a4udRSE9JiydhMja/85hPrypt2VNMuzTW4MlcnjCVCCPwoURrspsFcPeBDh/vSz3UbzrPnZzg5XODijCrwW2wELDUCEmBf2SWbsVhoBOQzSio1Y5krQuOvXVvCD9X5C67Fh4/0krFMmoHkQH+WdyaqBFFMlEgylhoY4wUxUxWvPaAlTusuNvIoV0dpBNDwIyzTSAe/xBJsc+MSpbPnZzjUn+eJ/T3r3uPdwMOMkmkU2phrNHeBYwrOXVmk6FoUHQsvjHn1yhLPHe1b8b71wvGr26OePzO8ode2Ufvd6nNdm6/z+o1lZCJBwNRyi1YY05O1+cjRvrQADFbmhV98aSyd5T02W8c0YKHuq3Y018KwBNcXGvzh2Yv8zvMnb3toP39mmP/zX5zn0lwDIaERRDimQd41iRNJ3Y/ZU3aYqwdkLPO23PvoVIX/6a2J9oYgIYgTpISMJQhiaIYJ5ZzB/t5sOlr1x5cX06Ey1+cbTCyr3vjONLY3xpf55QNl6n7E6ZEyV+eagEy9XinBzZgIoNKK6G8Pe1nLo1y9YZqreSuiNPt7Xa4ttKj7ET2G6oH3o4Rf3q+ubfc971z7zmsd6dv17rFGsx7amGs0d4ESKFmJaL/ezVrh+KWGz1e/e5mPHOtfM9++nie/Vm79+nyD6ZqfVqqPlG5N/5qu+uQyJov1ANc2sUwDGcS0wpiuWrvbjEX3pqHk2lybbxAlCQKBbRlEsSSfMdMRnmt5YAv1AEsIpJAq3NxuI1tsBvRkM5iGwQcP9KTT0TrRCIA/PHuRxUaIZUCcSKRU19W1LUxDKcgtNgP292SpexGubfHx4/3psaZrPvt7smQzJkKItKd9dKrGJ08O8fyZYb5zfpq6r8aS1vwESMjZJna7Ve6f/Z0n0vvXrccOt/eu//DSAh891pde9w8f6afhz7LUDFVhnWVyqC+HbZkrWuL+8OzFVCa289rNpRY520xTFKCLxzSbQxtzjeYuCGLJh470cmW+Sb09I/zUSJEgXmnOL0xVqDTDdruXKi7rbo+C24Vb1ius685r+1HEa9eWmFj22N+T5dhgjsV6QKUZUHAtBgouVS/EC2IMQ3B4QOWTxxcbNIM4zQmDMhaOKVKvcXyxSRjFHB4o0J+3eXM8IEokppC0/AhhGIyUHYIoWdNjPHt+BtMwODqYRwhBM4i4Nt9gquKRdywG8uqcfkHelnJ48aUxFhsBg8UMi42QWEpMA8JI0ghiBgsZ5usBNU/lznuymdu0zL/8zbc4NpjjzXE1E96xDKSULLeidGBMT97m+mKDKIaCYyClIJaSnmyGZw73rnsfcu1e/+5715uzGZ2qpcV3g0WXDx3uY7rmc7Avl3rvmVWSsIvtEaln9pXT1/YUM/zo8gIXpmr05W32lFxM09DFY5oN0cZco7kLOl7yc0f709dWe82jbSU1hCri8sJYzfH2Q0bKKz2tjoTnX1+YJmMabdEQ+7Yw+Bc/cSSdD+6HMft6XLIZkzfHK2QzBmEsU0Ndcm0mlloUnFv/mRcdmyCSzNf9NLx9Y7FJImU6xztoh6UrzYDpakDONpVIjYBWlLCvR3nWpsGaHuPEcivVcXdtk1zGSlvqEilZaAQ4lsF83efr567zhecOpZGIdyYrtPyIoZKLY5lcW4iJYolhgIEK0TuWIEygGcTk7JjH9igD/c/+eoyqFzFX81QNw0COhUZI1QvVNd1b5OXROcpZmw8d7sO1DN64vkzWVn37YSzxogQBfP3c9TULHH96dZFfPTW04vue3lvkR5duhfk7U9O6Nfa//M236F8lCRtECbIrljNX89T1zhjpPPSqF/GlTx3T+WfNhmhjrtHcBZtpvzl7foYTwwXGZutp4ZcfJTSDhD2lW7nvbgnPIEqQUq7bHtU9H/ynVxcpOCqUDCokjSQ11HtKDqNTala4lCpvaxiCM3uLtCLJ6FSVqhcxX/Mouna7191OQ7yvjS+RtU0O9OVYaAQ0gxjTUF61lCId4bmafT1ZgjDm9euLLLXCthIcSs89pyRgHcvAD2O+++4sl9rXp9oKmGmrzFVaIft6cxzuzzOx1MI0BEJAIsELJfmM6ou3TYP//tUbPLG/h0szNWp+TCuIWKj5zNd9PnFiAMeyqLRCsraxwjt+8kAv5azNpbkGNS+iN2fzwcM91P2Ivxmboy9rM1TOcnwwz2BR3QeJvK133bEsfqUrzL9W9fZaKZJOcVyHS3MNELC3J8dH2pvESitkbKax5ihbjaYbbcw1mrtgM+03nRatzlS0uqeU1cquhWkaqSfXLeH53mwDP1Te53rtUZ2cdreQjGMZ1PyIE8MFpms+705XqbQiDvVlmaz4xBWPkbLLob4cpmmk4iz7e3P8pBWAlPz48gJ5x0JKNSNcSvhbvzSCIQTzdY+3b1SYrLTwooRfPdXHF547tKbH+PyZYX7338yz2AiQCAxhgEjw2y1kqS67EISRGgE7XFIStRnTIAgTan7EzaUWg4UMOcckYxq0wpihfIZGYKUbgmsLDVpBzPnJCsvtdEHBsYjihIYf8+qVRX7jyX383Q/t549+eO027/hgf56x2TqfemwoHeF6caZOxjBohnFaPPf0wR4ylslTB3qotEKWGj5TFY+FRoDdnl3+uSf2rft7WWvz15fPYAiR/g4W6wGmwYoWO138ptks2phrNF1sRdVto/abjjfWmYoGt0Lxz58ZTs/TLeEpJbwxvoxjCiqtYM32qM5xjw/mUzU3KSUZ08A0DX77uYO8PDrHvp5cOq/74kydUlZ53Z1zd8LI5WyGpUbAcjOkFcQc6s9R9SKCKGF8ocHhgQIDBZdPnXLT9d+p8v7USJlGEJNzbIRQOWvXMhhfbDFX8xkuufhRkobdAep+hGUYuLbAENAIVKHbUivks6eH+a12KP77F2cpZ410QxDGkmzGZKriUXQtVeQnIQEOlF2C5FZv93riPAKRqt+9daPCUiMgjGM8X1LORuRsk3cmqxwdLPDFTxzhylw9ne/en89sqt9/rc1fZxhM57W+QoaRkrOixU4Xv2k2izbmGk2b+z3taSMxmLUkPAeLLk8f7OGdySqGMNZsj+oct5y1+eUDZUanaiy3In7leH9q9FarvvXmnRVG+I9+eI2Rsst83aPpR1xbaGAIAJXbBvilvUUutueTr/ZCN6LuRxwdyGEYt0LJC42Aaivi4kyNvGMpQZeKR8ZS/eeZdh+2ZRoUXYO//+GDTFU8fv/zT6TH+PM3J+jJWrfSBkJQdm0qrShtJYgTqYreuCW8cqf78dSBMjUvIoxjxhebZG1V0W6ZapxqIhOEEDy+V7WMjc00+Mix/jv2+6/Fepu/bo2AzrAbrZym2SramGs0be73TPTNKmGtNjIZy0y9wPUe/p8+NcgfnxtnpuoxXHL5T54/koZ5O4a6m9Xh2n09Wa7N17k4o4aW5DImzUANXLm20OBAb46R3ixelHBxur6mF9q5NmtFMYZLLtVWSDmrDHTDjwjCBNsyONyXQwLvTiulNMMwCOOYKE4QQnUKdAaudHulp0bK/Mrxfs5PVtPugGeP9PLudJ18xiSIJbFMAElPzqHuxzw2XFjR2726v//vfmi/8rS/d5mZqkcYxxgCTMOgN2czXw+xTZNjg/lU873uhzy2Z/1e8LvV7NfKaZp7QRtzjabNg5iJvtob60wwW/2g38pDfHSqwsujc5weKXFsMMeFyRr/xdkxfnRpgS88dyg11NNVP1Wn21NyUl12UBuIF/5EyaU6loFpCKQUFByTfMbCNASvXlkinzHX9EK/fu46rTBZN4rx288d5A/+6qK6ho7JdMXDMAVP7y8TJDBf82j4MaYAywDTMFmoB8RSIpAEUcyNxeZtmuS/9dwhvvbKVZIkYari8YuJCjUvxhISP04whEk5q6rny1kDP5YrertXS9F2ruWJoQLzNR/bMGkGMSNlm2aQYAiIkoTjQ4X0Gkwst9adf36v0R2tnKa5W7Qx12ja7OvJcnWung4IKbgWe4rOCgGPe2H1g/7qXJ0X/odpDvRnOT1S3rQH14kghHHMm+MVHMugN6sK6b72ylUe26Ny6XnHotgeyDK53OLXHr9VeX5qpMz+3izVVkjdjzGEwLENXFtJmYISwan70W3jLL0w4uXRWXqyGfoKmbTau7O2UyPlNErQiR4g4OPH+zm5p8zYdJXLs3WSRLWcnRgucH2xpULbhiBrG+Qy1pqa5Ffm6vzi5jLXF5sIwDYEg0UH17YYLmWYqQbp9Zyvedireru719h9LTsz4/0wphXE1INIKddZBnuL2fT7FV01eraTFlkdDr/f0R2NZrNoY67RtDkxnOfP3riZGsFqK2RqucVn79NM9O4H/VzNY2y2DgIqzfCOMq+rjUAngvDTq1VVXGabSKl6sMtZm+++O79ialkpa3NiqHBbi9Pje8tpQdhfX5jGAObrgSpas01OjRR562ZlhRfaaaOLE0lvzlpR7d1fcFZEMT73xL7UqHfqAuZqHj+9tkQUJ4RJQhLCLyZrFByT/b1ZPnnyVg/36jz0v/p37/Ev/uYKfpRgG4IoSQhjMA21EWlFMo0ivPCZE3z5m2/RV7jzXO2J5RaWARemqszXPCqtiL6cMtiDBYe6F/HE/nI6MnVquUUsJQd6skwsC8pZi9MjtyahbSbFodE8CLQx12jajM00ePpgTxqeLmdtTg7fbgTvlu4w/qW5Bo5lpC1l5azNYt3nq9+7zEeOri3z2qFTlV31QoptQRg/Sii4qvd6purx7JG+FRGFRMrbDMqKXL1jUfUievMZnj7Yw2DRbReH9azwQjttdPt7sgTxrTazS3MNMpa5buV151xX5uqEUazEWYSg5FokEiYrLQxjpUDu7brz1zCEQCBBKJ12kFyZb5J3TEqOxbNH+tLPbGaudsYUvHplsa2a52AZBrN1n96szQcP9jJZ8ah7EWMzdfw4ZrkZMFBwqLRUG6BpGis2XJs55+qc+onh/IYbuPW42/y85tFj4zE+Gs37hInlFgf783zkaD+/dnoPHznaz8H+/H3zqjpFXQB1L0pFZEpuR0vdo+GHjE5VeXl0htGpKkmSpDKvHU4M5/nJlQWmKx7X5hssNwP8KOH4YJ6aFzFcctPzdFirxamTqy9nbco5GyScGCrQX3DSlrgvPHcofc9UxaPmheRsg0ag+sCXGgEZUygp2Va4pohM97nCWBImSqK1nLXItDc0AkGlEXDuygLf+vkE33z9Bn/x5gTji83UYAVRjGWqCWTNdusaqCL2ME6YbwS8fWMp/Z7PnxlOv0ciZfrn7jUKwItipiseV+YaalZ8xuSjx/r5/c8/we88f5Lpmk+YqFa6kXJWqdPZBtM1n3LWXnF/Njpnd8V6J9XyB391kWvz9RUbuNGpyoa/p9XH2spnNY8e2jPXaNpsxqu6F7o94YLTlkhFicWAav9q+DFeGKeT2N6drtEM4/QY3QVbpgHjCy2Cqs9HjqoRn5VWmPaZw62c7vWFBnvLLl/+5lsrPLjugqvVXt7qMayjUxXO36wQSRgoONimwXw9oBlG7O3JbVjkdWqkzGdOD/Pfv+pR8yOqrQjLBFMY2KagESXcXGgwV/cJ27Z6qeHzu//mHUptkZhqK8IUgnDVSBtDCCxTcH6yxn/6t06l51td9f/bzx0ESIsQX7++SJIkgEAi8cKEVjPmz96c4L25Br/93EEO9uV49kgfL4/OpJGQKFa69LVWCIIVHnHONvjp1UUkkqcO9Ky4Lqtz6tM1NZ9+uupzeKCwpRy7zs9rutHGXKNpsxmJ1nuhu2q9lLWpehEnhwv05ZUn3AxUzrsTuu7omVdat7zs7gf4kcECczWPdyarjC96nNxzK3d7dLCQGuaMKTCEwLZM+grWuoV3a1VSdxv48cUme0oZpmsqElDO2qmUbLcO+Z04MZzHCxMsIUiEJIgkENOXt3Esk8nlFmGiPGaBGnf6i4kK+3qy5B2LihetmPgGYLaFabL2LWnb/+zP3ubHl+dZakb0ZC0KjsVC3ee/PHuRoZLL6b1lRsouDT/CCxMO9uXwQtVnDmAaUG2F/MFfXeSX9pWoeRYl18YLY+JEMrGs5p7bpkAIkdY7/I+vTyjlOynJWAZTFW/FWld3TNS9SNVneGH62mZz7A+i+0Kze9HGXKNpcz/6fDfKYa7lCV+YqlBpRUiZKElTK6CcVYNKkGpIS4fuB3inKCuIktu8w9WiNB1N8vUK79byqldX3/98fJmKAccG89xYanFlvoGUMk0TbOY6jM00ePpQD7+YqJJISTlrAp3hKzFRonJ/limQQJIoCdj5ekApazNSdlisB+l5io6BY1scGyxQaYXYhuAPz15kfKFJK4hBSiaXPTKWQcYUVLyI64stFhsBzx7tI+9YBFHIXM2n7ocIobx80zBST1dV2lvsKTm8O11joX3+UtYiiCUfPFTGNk3+5fev4AVxWrvgRwnjC02+fu46/7QtfLM6+lNwrXY//tajQQ86kqTZXeicuUbTxamRMi985gRf+c0neeEzJ7ZsyLeSwzw1UubEcJ4bC632zHGLjKkqyufrPo5tcmK4wON7Vxa/1dqTwd4YX8YPY2xTkDGNdc81sdyi6FrM1z3+3dgcM1WPaitkvu4TxjFvXF/k8//yxzz5e3/Nb/w/f8C3354AVkYBDCHoK2QQQnBjUUnQ7uvJsr8nSylrrzj3na7DxHKLX9rfw/NnhjkxXMS1DepeRJJA3Y+VAUcJx8TtcbJ+pHLPM9UW08s+pmmwv8clnzEwDRPbUPrmDT9if2+WxYYaAxtL1SNuGNAKY6pelHr844tN/vKtKRYbgeprj5V2fJKo/HuSSJqB8prrfsQXP3FEKenlbBpBRBQnNIOYowO5dBjOzaUmBcfEtW/NUS84Jm/eWE7vxeqc+p6iQ8OP2FNy1s3rr8dmagI07x+0Z67RbMBmK4bvlMPs/LP7GABf/d5lENCXtzGEKoLry9kMFBxOj5S4sdhkrualue4Tw3leHp3jylwdx1Qh5W7vcK18abfaWzOIcduFd1Uv5M9ev0krkpgCXMvg2kKT/+tfjgK3h3GPD+Z54/oyN5dbHOhV3p8fS54+WCZj3Tr3na5Dx5scKLgMFFy+OzpDLH2VsV7VVp4A3alx1zJoBkopzjIEjw0XuLboqar4rM2XPnWMv7k4T2WqShBLmkGMFyaItla7IUCqwXJqs5BEKgIgwTJUlbwQSgA2jNUAmKxtsK83l17T8cUmrVBNthNCcGW+SU8uQ8YysU1jVSaf2yRlV0d/jgwW+OyZ4dtU6bRinGaraGOu0dyBrSh6rZfDvDBV4e2byyw2AoIo4b2ZGm/fXGZv2SWME/rzGVphTCOIVEi5ERDEkg8MFUikJGOZ9BesVMHs06cG+RfTNRKZUM5mOLOvxEDBXbP9DJQH94++MUHdi/DCmFaoPFQ/lHRqwqWEmh9hCNW//S+/f4VPnxpeEcYdLLqcGC4w3/AJY0kxa/H43hKDxZXnvlMu9x98/HBal+BHEZdm6wRRQsYSWMi08G01Jdek4NpYpoEXxiy3IobKWb7xv/rwivvwo0sLLHsRlhDkbDVmtVM+mEjoTrfHEsxE4tgmrTDGMgRRrIy0YQiiRNLwI/IZk9GpCt84d50rc3VqXkilFdGfz5C1jXQIy4cPK2lZIUTaqVD3Y5472rfiu6xVm3C3rY9aMU7TQRtzjabNWh545wEexKqF7PhQPm1HWssDXiuHObnsrZlLvb7QIGebXJqtU/cjbNMga6tRn36U8P2xOaJYcm2+wWDJ5figOvfYTIPPnB7eUr60FapZ5BnLoOXHhMlKHzLp/J8hIZFcmavzXm+W81M1enM2p0aKuLYa3fprp4dXzAVffe71roNjCs6en6Hmhbw3U2OhoXLPhgDDEISxxDEFQSxTD9cQgISCY7f/LogTiWVK6qva70AZ63zGpOnHZCxBPmNS9ZU5N4CMBZ2PqUMLDvXnubnUxDIMenI2k5UWcaKuVdm1Ob23zDfOXecHlxboyVorKvmLrkkuY/PFTxwB4CvfGWO+rnQKHMvkyECe33ru0Jr3RKO5n2hjrnlk2Yqgxloe+Fe+M8b5yQrDRSdtFXv9+jJPHSwzsXy7IVmvGr4ZRJQca0WVOlJyZb4BQCNQwz3iJGG5GSOEoJwVzFY9ylmbqiexTJ8fV1rkXYu6H/PxY/1MVjwO9edvq7xf/b3nax57Sm567itzNRYaIckaYW0hQQihPO2Kx8eO93FhssaPLy9yZqSIBH5+o8ZiPWC45HJ0MMdUxWepGfLx4/2MTlXWvA43FpskUmJbJgOFDL+4WaERxGRtk3qSIJUODLGUZCw1k9y1TdUqFkbEiUQiqXoqeuC2K8k7VeQ/urTAmzeWmVz2GMjbZG2T5VZIxjbZn7WYqviYhmiLzqiBLqaAvGOSdywypkGYqCjIkf48Sy01DlYKFUF460aV3pzaUAgh6Mll0vv5yZND6e/qy589sSURFy36orlfaGOueSTZ6sCLtfK8b9Z9aBu3TkETwIXJ2grZ0Q7r5TD/8Z/WbsulNoOYVhiTy1hYQoV8VZsWFDIGoCqqTcMAJMvNkDBRkq1HB/PYlokhBEEUM1WJ0nMBfO2VqyzWPd6bbVDzIvwo5tSeAm0HFYnAMiCMlbcad60rlso5Hyk5hLFkqJhl6KTKub91YxnTMCg5FrYhmKq0uLbQoJAxKeczvDNZ5Q/PXuR3nj/JFz9xhG+cu853R1W/tSEExwbyBFHMz29UCOKErC2IY4llGkSxqtxPJDi2QcGxONKfY3S6RtGx8SPVfy+lGpGatU0e31ui7kX8l2cvYhoGBcfEFHBjqYVtGhwZyPPkAVVL8Nq1RcI4YaEREMuQOJHkHYtcRm3SMpZBzhQ0/JDpqoeUKgpQci1evbKERPLE/j5+fkMV+TmWAVKy1IpWFJxtJex9v0fuat7faGOueSTZqqDGWnleP4rJOarXuxlENHxlgONE8sVP5NP3rSXP2Tnm2fMzHO7P3pZLnasH5DImB3qzXF9sEsVKFS1KJLZlUPdDDAFLzQDLEMRSCc0EccIHhtviIn25FTPKQbWhjc/X+MVkDVBh6jCWvD1RY1/Zwco7gCrKsk1J0bVZboa0C8dxLYP+QobeXAYnc+vxMFVRuuUH+3O4tombsZivq35z2zIZLDgrWrG+8NwhmmHCh4/0UXQt/u0vphibqWOZ6hpkMyZxnCBNwf6i6rMPY9WGtq83R9G1WGiEmELQCGOSRJJIyNom+/tyPLm/zGDR5dLsPMutiEP9ORIpidrhhlgmzFY9zl2OOTKQ5x998igvj85Rztp4YcQP31ug7kdkLJVFP7mnxIeP9PAv/uYKSQK2pbz/Siui4FiUczaubfH0wR4uzTWoexG2Kfj48f41f0+b8bi16IvmfqKNueaRZKuCGmvleR3LxLFM9pZdfnptSYWJDcFgwVkx07vbu7o2X+fP3rjJUwd6ODSQp9IKaYUJA4UMfqQMTCtM8KOYgmMRxAmH+/NMVTxMAVUvIo6VElnWNnFsqLUiIglIyWDR4b3ZBm+OVyg4JqXsyh7vdyYrXJiut8PIAj9SIeVEKrWxqh/Tm7Op+xHDBYcogVxGSZXuKTnkHZuMpdrFHt93y6AsNALMtiFuBhGLjYDlVgiS9jlEmj5488Yyg0U3nez206tVpe8u1WblxHCBvlyGiaUWGcugJ2sjpeCX9pdX5J5nqz55xySWkmaQkM2YPLW/zJMHbxWULTbCdIMwsdwia5tkTEEjiPFjyYhrMVxy+NwT+1Ihnbof8YkTA6oIsN1i9/yZYc6en2Go6OJYguVWqDYqQg1TKboWP7mykBYsfmAoj2EYfGGNfPhmPe71fqPvTK49JlejuRPamGseSbYqqLFWnnegoHp/Jyse+3tcaBvHDx7qSdvA5mveigK5hh8pec6az5FB5UEf6lfhZYAfXlpgT9lloJChGcbMVH2GSw57yg4zFV+1TwnBQCFDw49o+InK9SKJE8lSMyTvBO1cekTVixidqqQP+6oXESWSjKnWKtttWaAMuiGUspllCJaaIY5tcqg/z8G+LJdnlZSqIWC5GTD5RovefIYTQ3nlGSeS0akqUSKV2hqq9cqP4vR7d1qxJpZbNLyAn15bVqNMpaTuR0QJXJqtM1h0KOdsio7FYjOkv+Ckxu7Fl1QRmWnAYiPCMiBrq4jGGzcqlLIZDg0oHXrLEPTn1UbJjxIypgEYFF3B4YECzx7pS1XYOiHw9bzmP/rhNfrySqxnf28OACklU+2CuBPDBaarHouNkGor4ku/emzLLYprDczp/o1en29wc6nF/t6cDr1rtoQ25ppHkq1Ks66Z7/6sCl//4z99+7Y2sNlai//prVlmqj75jMlQyUnlQPf3uisqrYuulea1P/XYEOWszXzd4/Xry/QXMjT8mETCQNHhS586zZ+/OUm1FTI2U8c2VU5ZCaOoiveaF6X5+5PDhRVGopy1sAxBGCXEq9q8DAF9OZv5ZshAPkPNjxkoOIRtAZRmGHOoL8vYTB3HMokSyXIz4NVrAbahwvVBrHrSq1GSFtDFScJM1WNvT3ZFK9bLV5YwDYFlCKqe2sxYhpIwTSQ819aTvzhTp+RaaT/+xHKrvUGIsQyVI5ftfLqbUQNOMraa0PalXz3G//j6BOMLTQwBXqiuZU/OTgfPOKbgxZfGuDBVYXLZY6HuM1xyOb23uMJY7uvJEoSxUshD5cWrXkQzSHjqQIEjg4V0El2lFa47TW+zUaHOb3Sx7qebhKVmwC/tLerQu2bLaGOueSS5G0GN9YqXVreBzdc9Xr2yRMOPKTgmcQJTFZ+9PS5Z22S2GnB06Nb40U5EoPshP1Bw+eChHt6bqTNT8/n1J/aukDyttEJqfkTRsRBC4IUxUdIk255YdsDOcWZfib78yhnip0fKLNY83rxZva3oLmcZzNR8Co7FUMmFmkcpa7NYDxibrfPMwV5eG18iY5m4tipKk8ByMwQERwcLjM3UlHa6ANsQ2JYglpKlRkBvLpO2Yn393HXiJCFjmTT9SLWYGQYFx6DkZihlbS7O1MmYSuXu0ECea/N1XviTabwwSgVfCo7atMSJxDQEe8tZDvbl+AcfP8zZ8zP8zcV59pZdXMvg3ZlbVfZPH+ohY5lpFX3djxibrjFd8QhjyWIj4Np8g48d72eolOXs+Zm2cW1yYuiWB24ZguODeQ4N5Fdcy62mbNabWvfpU4N89XuX0/C9H0VMVwP21jwGi+6G59JoOmhjrnlk2Wxl8UbFSqu9/PMTVQSqtSlMOmIrMLXcpC/vcHPZY09Rhei7IwJnz8+seMgPFFxs0+S5VUVsnfNl2gIpoh3e78/bLLe983YKnevzDaZr/gqFuPHFIjeW1GQyv+1BOwZEElpRQi6jCuuGS1k+crSfREq+9dYkhwby/Lv35shnlAE1DcFySwnMJFJScG0GSy5LjQAhIGMaWKag7sUIobz4QwM5zp6fYbbmc7Avx3w9IEzANgV5yyCWMFhy0ylkzx7pTyMVF2eUR5x3LKIYlhohAnBtgyCSlHMqB93wQl74k7dSAzhSdnEzFv/yf/40cEtpr5y1CUoOGUtVsy82grS/PpGSVhjzo0sL/K0n9jCxHK3YAGZsk+eOqev5x+fG+atfTNNXyHB8UBn1dyarhLHkxZfGNvy93CkqNDbT4CNHb12Dm8stJistamMhnzw5yEDB1Xrrmk2htdk1jzSjU6qY6MvffIsXXxq7Tbt8M3rq3XO/pyoeQZxwfCiPHysJ0qJjIgRUWkpb/JMfGODIYIGpiuoT7+Q7u7W0Z2stvn9xlu+9O8tczVvzfGf2llhuT0w71JfFjyR+GNOXs/GDiFfG5nn16gIjJSdde0ch7vBggb09WR4fKbG/xyVBedCuqcRZZqo+/Xm1qeiegZ53LPx2i1zcHnJiGMqwA2Tb1fitIKHuRwSR6gt3bZNmEDNQyFBphdxcajFQyNCbz9CTtcjZJqD6vDvhb4Gg2B4ic2m2gWMZlFxLFcPtK5HLmEqHvh7gRxEZU00he3daVep3cuUXZ+rp3PfV2vpBLCm6FtNVj1iqFIHRfupZpsCLEi5M1lJj2f35588M8/LoHCMlJ52i9uNL87wyNk/Ni3jyQGlTv5fu38BqunXzX7++TCGj0iR1P+K1a0tcm69rvXXNphBytSDyDuaZZ56Rr7322nYvQ7NL6K4q7vaQuh+sL740dltItPP3bm+5+5i/+60LvDddUyInicS1TSRqSMdAweHFv/fkHcVpOmpi3cpqq9fV/f6z52f46wvTZEyDfT0uC42QqheyUPfpzWV4/szIbWvveIflrM2FyQpzdZ9qK8K1DLwooZS1GCw4nN5bptIK+fSpQV4enWOp4fP69aV2jztEsSSM1bjTjGUwW/PxQhV+twTYloFrGe33Cw4P5PnI0X6lBT9d58RwgSvzda7MN4kTSV/OYqiUpa8thTqxrDZHczVVCGgZBlGiiv2SJOHmUotcRlX9D5dUfj9OYKTspuNOvTAmjhMSBKf3llZEVzr39y/fnqTWUu1+QSzTNEECDJey/KsvPH3bte/+bczXPS7NNrg4XSNjCT5zepiBgrvh72UjOud47doiczWfWKpCQ9MQlLMZ+gqZTY+X1TyaCCFel1I+s9H7dJhd88iymarirbSwdTYHIyWHd6eqWEKAUEM5okRysDfLSG92w7z8QNFNC+FWr3f1Zzupgs46DSH4QPvffeedqRVDPLrX3h0ynqn5DBcdPnqsn4GCy3zdS3P1z2Xt22age1HC+GKTJJHsLTtKxCVj8uq1JeIkwTaVl28agmzbI89lBMNFJ53LfbA/TzOMOTJYoNUpZjNF6uGrSn1VDFdwTAzgxkKLvkKGgmPhWAbTlYCia3N4II8Xxji2yWI9IIhU+qBTBBgnCdcWmhwbKtxWAd7Z1OQzJouNW6NTDZRATtG1VvSKd6dcLkxWefJACbDTAS0SeVth4b3ktJ8/M8xXvjPGtfkGuYyhtPGBUsbkmcM9RAnakGs2hTbmmkeWzRjqrbSwdW8OhiarTFXUKNCMZfCJDwwwVMreZqDvdl2rWa8PfjXda++uGbg2X+fSbIM3xpcpuSr3/NyxgRXe5Ho1Bp1oREe7vD/vMFP1qPsRzSBCtjcUk8se2YzJfN3DNk1Ot0PWL740xr6e3Iq1f//iLADPHu3j0lwD2xRUvITFRkDdi+jNWbTCmAN92fZ3Vb3vfXkl+uJHSfr6dMWHdpTku6OzFFyLPUWHs+dneOEzJ/j0qUHeHF/CNgVhpNIGhiEouzaP7yunveKr+8Pfm6nx6pUlHtsTcmW+iWMZOJZBksDr15f54KGee85pnxopM1xy1Fz1OCGXMRgqZjANwejU2kqDGs1aaGOueWTZjKFeXaw0vtDg4kyd/b3Z24qbOkZ4ruYRxUr5LO8Igijh3ek6fiTTdrZ7XVc3o1MV5moeP2yH5k/vLeJYynudrXl8++0p+vI2e0oujSAmKDl8+Ztv4ZgCCVyerTM6XaO/kGEgr3Lak8stfu3x4dvOs14hYN1TamlJokLUwyWXpOLRCEJkklDz1OtFx+Tc5UWODOTTa7HW5iWIEiQyrdiutkLyjsVM1aPmh+1BJQZTyx6JbBHEqod8sOhgmcaKivNmENGTszENQc5Sk9LGZuo0Q9UONzbT4JMnhwjjmLdvVJiqesSJZKjk8h9/cB9nz8/wRz+8xvhikz1FJ70vj+8t8eqVRV6/vsyeklLOy7VnlQO8N1PHNs07tjxuhiCWfOrUIG+OV9INQ2cynM6VazbLthpzIcTzwH8FmMB/K6X8g+1cj2bncjcDKTohzDfrPn4U41gmAwVnhcHtDkdfmKpwY6GVtkqtFuzoGOFLcw3KuQwF12au5mOZBsW20thmQqJbqXbu9hY/eqyP0akaP7qkhp4U2x725dk6783WeWeqSskxyWf6ybsm564sqmrwjEFfzqbarkwfKLqcGCqs6JPuPo9tKs/5z9+c4MxIkVaUEMYxMpEseRHLrYj9PQ6OJVhqSlzLIJcxSSRUvIg9JSudkNYxkkE75N4hY92qvb00p4rfWoHEMk0OlbJMVVp4YUzTj5UnLQSRVP3w+3qyFF2LjJ3nuWNZvjs6Q9SuXQA1TEbNa1fFg7dSFDafOqU2D4mUvDtdTSVeR8oub44vUW2GFFyLwaLLYNHlQ0d6+avz0/hxW2fgAwNIqYRvOmmKDx3uSb/r3Si2dX5XHzzUw6XZBlUvJGMa/Mo6UrEazVpsmzEXQpjAvwA+A9wEfiaE+JaU8sJ2rUmzM7mXgRRJu8Czk1tO1ij47ISXV4eDV+fYb4l8BPTmLAKgN5/hg4d66Ms7qdLYRmylB747tF/O2gyX1IP/wlSV0yMlwjgmknCwL8dUpUUQw9hsHcu4VSk+sdzi6ECecjvPfHwoz3szdd6aUBXYHSnTOE54/foi44tNXMvEsQTff28OmUhM00BINV60FcXcWPJwbZPBQoZD/fkVxWhRnPDmzQoTFQ8/ipEJXF9QE+I6ym19+QyGEKqfvhVim4KFRsBAIUNPLsNie2a6YaiCMDdj4lomfbkMp/eWVxScXZiqML7QZKkRUPcjWmGMQAnHwPqRkEorWnG/BwpOulnrRAxc2+LknhKnR0orPp+xVEthd6Hh3Sq2dR/jw0f60s2dHp2q2QqbMuZCCBf43wIfR9WB/BD4b6SUm3t6rc2HgUtSyivtc/wPwH8IaGOuWcHdDqQ4e36GQ/15ntjfk75WaYVbGrbSncvuGOHf/dYFFuo+AwUnVYSrtMIVYfKNIgmb7YFfb00zVY9nj/Tx06tVHMvAtU3iRKbDXDoGvMNSM6Dhx1S9kEuzdYqOyXDplvGZWm6y3IxYavo4pkGUJCxVI5JEkrEN4kTVBlimQcEwiKWkJ2enA1Y6XrFjGVyZq7envUHJVfKodhBxZb6RKrf9zvMn03uEAC9MiJOEhXqQ9sf35TMEcYKUkuNDRepeyFTV49UrCyBIr+npkTJhlPCLiSqJlG1Ne4PlRrjuSNZKK6TUni/f4fhQnteuLbFYD1ZoBPz2cwd5eXTuts93tAPudVjK3QgcaTSr2axn/q+BGvDV9t//PvB14Dfv4dz7gBtdf78JPLv6TUKILwJfBDh48OA9nE6zW7mbgrG7+dxmctmnRsr83t8+vaLlrdM73gmTbyaSsNm0wXpr6vSFV70QU8DNJZ+6r7TKo3a5dadIrORaTC57RElCGKlWs4YfYpkGP726iG0Kri80sAyDmh9im0aaGzeEIEkAJK5lYppq0IxjGdT9mD0l9zb50yBKONjnrAh7Z22D6arHYyOlFdfy1EiZE8N5/uCvLmIZBkJIglDprPcYYCYCKVT1+0TFwzEFtqlG0nZXrH/nnWlKroUXxdS8kKWmpOiY/O63LvB7f/v0msZyLRGfx/YUmar6TFW8FUa1U+m/2tj+0Q+v3dVvczVbGZ2q0azFZo35SSnlk11//xshxFv3eG6xxmu3xUCllF8Dvgaqz/wez6nZYXSM2juTFapeRDlrcbod0u483LZaMNZhvc9l2lrdqw1ptwfnhRGjUzWWmiG/crx/xTCTjTypjby1raQN1vMqO95iEksmqx622fbOY8mNxRaDpUxbmEX9hxYnMWEMsj0SFam89WODBZaaAVUvImepXvEolgRRgmWCY5v4YUIiJVUvREql/Pbk/jIFx6IZJiuK0Tqta1MVj+mqqiewDOV5W6ax5vcdm2nw1IEeri402iF+gz0lh6oXU8iYWJapUhhS0pNzCGLJBw+V02E3L3zmBGXX4lLNJ4wTwljitNXmJpda6bnW6gNffW0Nw1izr3s9Y3u3v02N5n6zWQW4N4UQH+n8RQjxLPCjezz3TeBA19/3A5P3eEzNLqJj1K7O1bm52KLaChlfaHJtvr5CVatbOS2RMv3zRpW+a33u+kKDmaq/puJbx0gHUcyPLy8C8LHjfdiWuabKV7fS2OrRlkXXYq7mce7KAi9dmOHCZIV3JtXnu429IUT6586gke7ro0Z2qhz5z64ucGGqSs1TQz4+fWoQ2zJIpFJo29+TZV9vFsMUxInkuaN9PHu0j+mqh5SC3pxNzjbUf/QCal6IEIJqK8KxDDK2ST5jEUuJBIK4bfiFxBCCOEkQQhLFSVofUPdDpms+pazNs0d6OTyQJ++YNIOERhBTaYUsNUNaYUx/O0+++vtOLLc4NJDnU48N8+tPjHB4IE/OsejL23zi5CDHhwoIAb05m55cJm0J6/aApRAMFh2KrkU5a1NwLQSCBLnmte3cw80qtW3lN6YV2zTbwR09cyHEL1Desg38L4QQ4+2/H+Lec9s/Az4ghDgCTAB/D/if3eMxNbuIjlG7MFXFsZVn6YUx01WfUyOl1JO925ziWp/bW3ap+xGjU1WqXkjJtdlTclaca3ALoi5rsa8ny8/HFzk/WUtzuE1fpONKNwr/j05V+Pq56yta0XK2yRvjyxwbyFFtK5rZpur7/twTe7gy36TuRZRzNk8dVGIjv//5JxidqvDnb06AUO1gtmnghUqvPYxhbKZGw48YLNjUg4SBnIMfxngoTz6RqiWsv+Cw0AgIY8n0ssdczSeXMfml/T1ptGCxEXBzqcliI1KjUDtT1SS4FmRt87bvOzpVYXyxyZvjS+RsEwnEUuJYJh882Mvvf/4J4JZSWhjHab98xjQ4s1eF7Q0Bs+3e94xp4Nhq0pprGXcMe9+rfr/Od2t2ChuF2X/9QZ1YShkJIf73wHdQrWn/nZTynQd1Ps3Oo2PUOipg0Mm7hrc9gO82p7j6c//rf/0zxheauLZJ0bHwwph3p2tpT3L3urrZSh70xHCe//cPr2IYgqxtEEQJdT/h6X41hOROodlOtOLKXJ3erPrP883xCrYhsEzBLyZr7O/N0p/PUPUi3pupM1x0eO5of3qszrE7x7IMgR8mREISJXJFMitrGxhY1PyEwUKGehCBENimgW2CRCCEmpMupaTgWPhGRBAnvDG+TC5j8oHhEksNnx9dXlDHM8AxBFEiMYX6ZzZjE3V1EnRGk37tlavsKTrMVj2uLTQxBQyWHIIwYbLipRGTTpvh1fkGBcckYwjqXsRkxePbb0+w3FDfOYgTJfkaSIaKDgPFzYm63KmGYXSqwh+evchiIyCIEt6bqfH2zWV+5/mT6e9LG2/NdnPHMLuU8vqd/nevJ5dS/lsp5Qkp5TEp5e/f6/E0u4t9PVlqXkTBtdJiLT9KKLn2A8s7VloRQqjBIN3/rLRuzR/vrKubraxnbKZBOWeRy5iEicSxVa64GSZMLLfuGJrtRCvCWOLYJq5tKvGUqketFbZD7DXOT1ZZqPuYAi7O1NNjXZuv85MrC7wzqVTbkiThcH8exzZVMZuUINTEt768zf7eHANFp60HrgRLBGAIg1zGIooSGn7McjMkkcoDjhKVN7dNg5/fVKmDTti90oraeu5qCE2USOz2QJOMaaz4vhJVT3BksEDBUddLGIJGEPPs0T4O9efT8HhHKa3oWkQJOBkrfc8fnxvnxHABxzbZW86Sz1g4lqkK9IrOHcPeo1MV/smfvc0//PobfP/iLJbBbcNTvn7uOuMLTYC0+n18ocnXz93zI1CjuW9oBTjNttEp7tpTdBibqeNHqg3pcH/unlW1YG1vq+RaVJshS42Amh/ihYnK43a1KG0k6tIZlvLmjQoSyVMHevjCc4dWKcVlV7RsSSlZbIQ8dyybhma/fu46L48uIBA8dWClylzBtfDDODXmYZxQb0VIoaZ9IRMqrYRsxqTczhOvFr35q19MU2kGHBvMt6VXY8I4pu6r/HV/waHmR/TkMhwdyHF90WOxqfTLkySh5sVEUtKRIk+SpK29Lsi0+9Abvtr0TFVaJElCEKsQfgcBqjpeSvb1uCuqxP/oh9foL6jrHkvJQDHDYiOg0gz5/thc2nLX8ZKDWPKJE4MY4lbtbCJl2qZXcC0uzTWIkqSdSpAcGSys2ynQHQXpaUdBfn6jwtMHe9I8+6mRMm/eWKbgmCuq85GSN28s3+UvU6O5/2hjrtk2uvONzTBOq9kPD6z/AN4s61WMDxUdwihekc/OmIJKO5+9UR50dKqyItwrELx6ZZGpipeGXff1ZAmjOJ3PHScJ0xWfVhjx3VGlNDdUUCIzzx7pTzcMX3vlKlnboOZFHB/M88b4MqA2AqZQLVpGu11Mhb9VyFwKsaYGejaj5FAXGgF7Sm67+jzGzcR86FAvhwduKbJVWiEn9pR5Z7LCT68uqsllUnnXHfwYXEvg2qo1rBkk5DJKzrTmxcQJFByTmhevaEvJWCZn9hb5wHBpRUV5d7rBFIKJpRaJlCRStac1vYihkptWo69OT8zVPN6ZrNLwI14Zm+PxvaU03bCZSWadKEgQJxQdKxW+uTTX4NkjfWlaRSBua7ORcNuQG41mO9HGXLOtPKh843rtYWEUM1MNGCw6lNrhfT9KODlcWFHgtt66zp6fYb7uU3St1FNDCBYbQfr5E8N5vvPONA0/ZKEWUw9iaE8Zu7HUZKrSIp+xsNutWoawV6yvY4gO9WX52bUlan4EEpXDTtRYUssU5DNmezyp+s/4nckK1VZI3Y8xDZiveUSJbIfNoe7HHBnI8/mn9/Jnb0zy/Yuzt8ncztU8vCAmlpK4bcEEt9LsQZRgGgY9WZPFZsih/jzlrKqSj+KEOJErPiOE6nNvhUlazd+hOwKCVPn8IE7IZ0zVIpcoAZyOl7y6dfBnV5eQwIcO9XBxpsGrVxb50JHedKTsRpGdThSk5Np4XVGQuhetSKs8daCspHHbgjx+lFD3Y5472rfBr1CjeXhoY655JFmviG2qEnGgP0ulGVLzI0quzZl9JfryzqYK3CaWW/hRTMntnl6mvOmJ5RbffnuCr373Mo0gIk7AixJMpb6Ca5lkLEEQqdDwwb7sCunQzvo6Ifif36yQAEf6cyy3QpYbYVunXI1dTaRUM8nbEYObS2r9Jdfi+kIDP5YUXZNYqjx3Rz/+6GDhNpnbSivgqy+/xxs3l4mkxBTQqZWTqOIaCSRAI0jIBTH/u3//KP/w31MDWf/Nz28ifJDtvHrHozcEDBYdql6UVvOv1a9fC2IO9We5ueQh2qmEwaJLPYi4MFnhxlKLc1cWMIS6B3M1L713ALklj4nlFi+PzvLZ08N88RNHANbUE+jQ8fSPD+V5/fqyelGqHH/3ZuC3njvEdNVnvu63B8CYHBnIa7lVzY5CG3PNI8mdKsbX+ner5VjvdNz3Zmor8uF+lJCxDDKm4KvfuwwCRsqu8uCCCBtohDFZ26TmRUSJ8kIX6iG2des/wc76Ou1xe0odfXCTjGVSa4V4kcSxoOxaeKHEixJODKtCsT0lh19MVJmpenhhTMYUNAPBZx8fZrDokkjJVMW7TeZ2rubx6pVFbiy22FNyaPkq5dEdWlZhZWWcQXncP726zCdOKONccGwW62G7kE2y2AiQUuXLO8WNe4oZfvdbFzjYl7utvatzD3JONa0VWGoEVFsqKhFECdVWiJSSx/YUma54nN5bBNQ4UscyOD6YZ6kZ0QwTrszVVwxRWUuYp1sT/amDZS5M1lhqRXz8eP+KGohTI2W+/NkTd1Tsu5tBQBrN/UQbc82O5m4fkndSc/vo8f51tbY3c9zzExXena4SRkptTAo4PphHoDzm/nwmrZTPWgaVlmrrqnpKbtUQYJuCqh8x0PawV69hYrlFECUYAq4st2gEMX6sxFziRJIgONif5ehAnh9dWuDclQUW6gG2KTDbnnErTBh0bQaLbppfDmPJO5MVntxfTjczl+ZU/n++4ePYJgf6cowvNGiGMVFy67tLwDZU21oYS67ON/jGuev8/uefYKTHZb7utTcrSerNCyGYqyuXXfWmGzx7pO8249q5X1lLcHm2RRgnBFFMX7sFry+vUhEdHYLenM2FyVoaGu9oFPQVMpSzNn98bnzFcJS1NNNX1kZEfPLk0Lq/rzulg+5lEJBGc78Qco0pUjuVZ555Rr722mvbvQzNQ6L7IdltdDf7kFxLfMWxVD7106cGGZtp3JUn9e23J/jKd8ZYboUYAnIZE8tQHqhEUnKVUhlAww8Zm6kDEiGMNATttJXbDvbnODVSStcAyuC8dGGG6eUmXjsPbQrwQtVWVnAsfv2JEQaLLjPVFj++vIgXqpYw2xRECfTmrLRdrORaLDYjQFJ0VJ2AaRo8d6SPE3tKvHRhBstQ7WWJlDSDmDhJQAoS1MYjTiSGUMY5a5u4GZOBfIa6H/EbT+7jW29NMF/zsU0D0dZSj2I1+KUvnyGRql3NNET6Pc9PVAnihF87vYfnzwxzZa7OV793mcWGRzOIaYWqna3omBweKCCEQEpJzY94cn+ZH19WuvJ9OZsglvhRwtMHe+gvOPyPr9/kQG82TaUcH8qnk+2+8ptPrnFX756OoM3qSM9GBXgazWYQQrwupXxmo/dpz1yzY7nXiVR3UnMbm2nc9YN2bKbBv3dSHXOu5vHG+DJ+FFP1VGh5oR4wUo4ZLrlESWe0ZoDRlhc1DIFlGjxzqIdiNpMal+7Ny8E+l0szNYK2IZdGO38tlff/9s0Kv3rKZXSqRm/OpupBtaVC+K0wprYQIlGe/EwtSHPYnplgGoIwivnhpQXGF5vcWGzSaovmJBKs9vzwBDXyNGebLNQDDONWX35fLkMrjJmvByo83n49kdCfswmiBD+KsYRaRaUV4loGQ8Usb92oECWSjClA3urrztoGJ4cLXJyBkbLBXM2nGcTUfFUU2JPLpDoErm3x8eP9XJprsFgP6CtkeHxvicGiy9W5ugrLe5EavhLGvH59mZPDhRUV/PeLexUZ0mjuB9qYa+6Kh5EjvB8PyQfxoO0+5qW5hgqht0IEQomzEDNTVV5u3rH5J597jB9dWkjD3AXX4vhgnoxlpkptZ8/P8NcXpsmYBvt6XK4ttHAzJqEXEUuI43bOGlXNfmOxydW5OkvNkI8d7+PKXJMkaTFb84nihChR709Qxpl2RMALVfGeMA2aQcz4QhNhKCPc6Q8PYjCF0jTPWIIwUdGBMFEDWAqOyeRySwn+OCZhHCMRHOjNMl8PmKr6uKbAMtQxa16EEBKrLT97Zb6R1icUs1a60Xr16gIGsNQIiKWqwk8SlWqYrnos1AP8KGZvOcuNxSZf/qzajK2eYDc2U+eX9haZrgX4UZJWoF+cqfO/+eSxFfdyrd8xsKXfth62otkJaGOu2TIPK0e41kNyfKHBVNXny998a9setN3HVG1MSkilmLXpyynhk5oXMdKTSydwHR0srDA61+cbjM0s05Oz+M4705wcLqiecSl59eoSA4UMRdciiGK8SHnnRjvfHsaqF3u65vMrx/uVIIwftQeqqOI0IdrGX0LcNuymKUja7V9hnNCTs0kk5NqFeR0EyvBbBizUQxxLkHdMGn5MLKHmx5giwTJU1OH168vYpsAQBof6c7wzWUEYJpap1OSKroXXbgHsyMK2goiFRkjRNfnJlQWODubwgpi5utJ8z7RD+xLacrQxbtZkoOjgZsy0Gh/ADyL+4t0ZWmFC1jbIZ0yeOlRmb2+OS3MN6m0PvZS1bytaW/07/t1/8w6zVQ/TNOjPZwijmK+90rzjb3sjkSGN5mGgjblmy9xr+HuzrH5Iji+oARtPHejZ9CbiQTxou49ZcExuLsXYpkFfLkPesdQEs94sB/tyqdDM2fMz1LyQieUWBpLlVsTJPYU0r31xpp7O6VYFcSF9eYe5mp+eN0kkhinIZUwO9uU42Jfjo8f7+YO/ukjesdo90nGq2GYAhkFaxNaZUR5ECQJVEb/Uilhs+piGMvqg2sLiRDJXD8lYBghBNmPhtCvMJdDbzoPnHPUIqXshy62oXbiWYIgYxzLoNMDZhlAtelINXJmtBQwWM/TmMiw2fC5O15T3H0u8MKHQPq6U4MeSbMbi0ECe44N5Bovq3n/j3HUmKx7vtcV58hmTRCod+VcuzvPJxwZvE5HpZvXvOIxjxmbqmIbg2KCbevMnhwt849x1Borumt66Hrai2QloY67ZMg8rR7j6ITlV9XnqQA9HBlXeczObiI0etFtJF3S/N2cbBFFMKWtjmwYlV2mLe2GMHyUcardfdXt/p0ZK1LyIn1xe4OQelb99b7aRitfEicSPk3ZLWUzRVZXuAlJd9JJrMVR08SPJvp5sOgt8uuYzUzFAxNjiVktYlKjPCUnbaxeYhiBrCcaXPKSUBLHERHnziWxvGoAIcEwVETANgSXUsBeJ4FB/jrma3153wmzNpz+foeZDYBh4Yczenmx7FKwKdw8WHV78e0/y9XPXefXKIrmMRcOPmKsHhHFMGKupbnU/Ioxi8o6FEBDFCXvLOfww5o3x5bTI7bujqgAujJXwjWWKti48NIKY8xNVPnHCWXcDt/p3fGm2gSpUFGk3AsDl2TpVP+ZTjw2tu4nUw1Y024025pot8zBzhN0PyS9/86272kSs96DdSrpg9Xs7BuIf/9oJVYX93cssNkL68jaH+nKYprFicEp3FCNKVL/34YFCqsHuWAY1P+Lpgz387JqSh52p+hQdi0RCK4jJWEZaVGe1q8L/2V+PpapvVrstTQgI4iQtekukaikruiZCGPS4JtO1AMuAjGkStCJilMF3TDXlTAiBKSX9RZcgSlLVOdEe0uJHCYMll+ODeb47OgtAkEjKWQvHNkCqHHss4fBAnj0lh8MDhVRj/UNHerky32xHKsAyDeIE8o6FbSa0wm4deIMogYKrjOuluQYZy0QiCSLVs+9YamaUUo5Ts8+D9tz19Tzl1b/jqqciEd0yrY5l8N5ik4N9uQceidJo7oU7Tk3TaNbiTlO/7pXRqQovvjTGl7/5Fi++NJZOroJ7n2a2mm5DawiR/rkzqWuz7/3cE/t48e89ybNHeqn7Me/N1cna6j+tieVWOmmrQ1/eZqGhBpocH8ynueSiYykd8309/MrxAQ715+jNZ7BMgz1ll1zGZGJZheW/9KuqkOvmUotquxBNTSgzCGIVWhcCrHbuvC9vM1TK8p//h6fpL2U50Jfj6GAByzRo20EkKm1wsC/HnrLLb3/sIFEsyVgGYRxTbYVEMYRRwvXFJn05tV4E9BccBgsOAwWHfMak7sXEbc3z+brPxZk6J4bz6X10bYvnjvYzVHRxbAPLUHPH46SjIKc2FAXHYrCoWsqWmwEZU7DYrqB/6kAPGcvAMkQqIxsnqv2t5Nr82uk9fOU3n+SFz5xY0+iu/h1nTIOMaZK1VWShow0QS8mpkeKKz+pqdc1OQxtzzZbphK7LWZupikc5a9+X4reO91tphSs85Y5BX2sTcX2hwXzNW9P4b8Rahnb1Q7qzufiLn09wYbLCfN1b973NMOHDR/r49KlhMpbJ1165imOK2zYge0outmlQaYX0FxxODKnit3LOTq9l2PY2XdtiT9mllLXpLzjsKbu8+Hef5HNP7OPs+RlVOIfylLO2SSwlllDFa51iuJKrhtd85Gg/YzMNZqoexfb8+ERCf96hxzVVL3uk8uD/6X9wkv/Lb/wS/+l/cJLBootpGESJpDdn84E9RYqOyY8vL/LK2Cyyrf+etq3lHQquSdWLWGyE9OcznBgq8PLoHKNTlRX3sdAurAPJnrLL3h4XL0oQAgzDYKDgsKecZU/JZbERcGmuwXIrIGsbfOx4P335DLZp4kcxrUClODKmSV8+s+HmcvXv+MzeEh8YLvDE/h4cy2CxEYKEjx3tx7VX/k50tbpmp6HD7Jq74kHkCDcqrFud/86YAkMIbMukr2Btuap+o3RBd2h9uKiK0S7PNShnrbbcqpP2La9eexDFnJ9YZq7mI1EG/KmDPbi2hWkafOlTx1LRmiODBf7Rv39sRR6/W2e9MwzmxFCBI4OFFaNWD/bn1ejP2QaubSgPVYBlGAhTkkhBFCdcnK5SbYWp6EzNj6l5IZYhkLRz9ZbB8aECZ/aW+NwT+wD43BP7VOShSxil01ufd2xKrkUYS+brSjCmJ2fjR2oE6UDB4XNPjKTXttIKOXt+hhc+cyK9j52aA8cSLNR9WmFCHEuGSw6lbIYokXhhjGWqVMNwyeVDR3rJWCYvj87xH39wX6qAV/Miyq7y+LvlWO9E53fVqYeYrftM13xKWZvnjg2kGwJdra7Z6WhjrtkxbKawrnsT8eJLY2mvNmw9l7lRpXu3ge7PZ3h3uoYhBK1AiZhMLrf4tceHb1v7XM3jx5fmWW4pj3yo4DBT9fn+2ByfOjmUbjY+t866Oh73xfaM906f9NhMnX/079/qk+5sRjo4tonV7hkX7VGpjqX6yWWcpNXyjmVwfaHRVliDantk6VDeYqrS4tKsqg7/rVUz2i0DLkxVuTJXTweo1PyIkZ4slimoBxGmqULcOce8473svo//6t+9x7/4mysI0a5IT9REtjP7yvTkMlyaazC+2CTvWDx7tC8dTANKwOeffv6JDe/1nejetD22p5T+DrqLIXW1umano4255qGwmarxrRbWbcb4byQK4gcRP7y5rPTDgcGCwz9/aYzTI2q296kRNZVroRkyXHJo+DFVL8QwVJnUH58b5+hgYcXaL80pQ2kZSkSmr+CkLVyDRXdDI7Da4656ISXXopyzV3jvczWP7707ixcmDBUzZG1T9aIn0F/I0AwSmoHaUAhgYtmjlLUouTYfGC5wZb7ZlmAV9GZtWpEKl+czJucnqyuiHBlTzW0vdNISEiaXPPoLGRZrHhNLLUDSm7XZU3KotMJ0UMxG97IZSD55YpDpmk/di+jLw3IjYGLZ49hQkYxlMl3x+NjxlYb8fuWtN9NqqavVNTsdbcw1D5zNVo1vtSd8K2Hyznm/8p0xEik51J/HMuDtiSrLzYDenE3Nj5mt+oRxQs42uTRTY3yhiWUazNY8hosOhivwIxVCDuOY92Zq/MOvv8GZvUVaYcKh/jy1VkgQJ+3CM6XR7lgGVS/kQjsHv5lNzUDBZaCgjFf39+z+Xv35DNNVn5maz8G+HEcHCjT8CD9OKLkWzTBOldj68xl6cmpYyfiixz/5W4/xX5wdozdrMVcPEG3518GSQxAnaYHfqZHyipnmGdNQFe5JwkzVwzSMNMQ/vtiiEUT8/Q8f4N3pBpVWuOG9nFhucWggn7YcAsxUW7x1s5JWo//K8X5sy1zxufuVt9ZyrJpHAV0Ap3ngbLZqfKuFdRtV1a913vm6z2IjoJy1uTLfVD3KtslSSymdZTMmXphwea5BlMBszW9rlcONpRY3l5pIKbm+0ODyXAMB9GQtJpY9DCEIIqW7mjENBosOuYzaL/tRQpLAjYXWugV+d/O9JIJjg3kO9+fTgreFRkDLjzkxXKDkWERxolTVLCPtoe7N2YzNNPj48X4QgkYQY1uCkbKLZRiUXHuFQfNjybNHe4kTSSNQqndhnKh8tiGwTZMjAwWODuYpZzM0A7npe7lWl4JrWyuq0X/ruUMPrIPifndJaDTbgfbMNQ+crXg+WwlnbiQIs9Z5/ShO+4jr7dnijmVQ91VLEwiCKGG66rGv7JKxlPpZ3rFoBX67WlpQ92PiBKQMafg2mfbo0HLW5p//nSf5w7MXGV9o4gVqLnjdV61Ov7SvvGGOfyvfq9OnHsUJN5ZbHOlXPd3z9YAfXFqgP29jW0pWdXK5xUDBwTAEv3ygzMRyi3/w8cNpNKSzG/CjhDP7SisM2r6eLFfn6kSJ5HB/nihOeG+2TtzeQOwpueQdS0018yImllubvpebicg8SJW1By3Hqmedax4G2phrHjhrhcOvzzeYrm1eY3097mQw1jqv0xWqLbgWC3WBH8l0zCco4ZG4PQrUi5R4yVDRxUB5540gaY8xBSEMbi57fGCokG5QTo2U+Z3nT/L1c9d588YyXhBTcCzmGwHTVY+Ca6W537vZ1HQM63TNZ77mUWlFRHGC2+5tNwyDvT1ZokRSytqUsxkml5o0Q2Xwjw3kafpxWhn/xU8cWTEq9qmDZWzTpNIK+dDhHl58aYwLUxXeuL5M0TExDYvpqqe009uDVIZVaYHa7FjGlr3anG3w06uLSCRPHehZ04t/UHnrB7lR0LPONQ8Lbcw1D5zVns/1+QZv3lCynHf7gNuMt7OWxzVQcNIw7dGBHJNLLRr+rZx5kiT05tUIz2sLDdyMCW2J05mqGgICoj0pTJHEqnCs25M9NVLmn37+iRUP89euLnBlrsG7MzUO9uZ48oAymhlTbJhH7/7OP7k8z+h0jf5ChoF8BimVeEzeMXFtkzP7Srwxrgxv3Ys43J9tV4Or7xIlkjdvLPPZdoj61EiZLzx3CIA3byzz1o0qTx0o8+lTg7w8OpdWeb87VWWpFaqBLgjyGZNWW7722nydkZ4sSaJmtG82/N19fX711FDqFT9sHtRG4WHNMdBodM5c88BZnQufrvk8fbCHwwOFDZXX1mIjcZn1zlvO2nz5syf4nedPtmVV4RMnBvjEiQGK2Qw9OYuD/TlGerI0gpiMZZK1TaI4YabqIwTEsWR/r1Jji2PlmZazqtBsrRxu52EexjH1ICZOJBlDMLnc4ttvT/Otn9/kx5cXlDG8w3fp/s4SVcxWbUUsNAKGSi5HB/MUHWUo3hhfptIKmW8EFFyL+UaY5sKFoa730wd7GJtprDh2xjL59KlhPnykj+mqz7/8/hXevrnM6FSVxYbP3p4ctmFgGoKerE0xa1N0bVxbya0uNUOePdrH7zx/ctOGaisqfLuRzQgTaTT3A+2Zax4KG2ms+1HESxcW1/VOuz3x8cUmIyVnU97Oeh7XnYzNiy+NMV8LcCzBcitMe70LGWUYowSODBRYagYsNkKyGZP+grNmZKGT3/7p1SrlrE3BsZipqlngJVcZMNc2uThTp+BaafV693cZnarwu9+6wGI9oK+QYb7uM1h0yLT13KteSBjFTFV9hCEoOiZeoGaq9+Vsri+2iOIE0zB49kgvHxguMVtr8dKFta9nGMdcnW+w1Ag4PpTHC2Nev77M0YEcF6KYMJYY7QEoQgiODuRJJDy+r7zlnu9HvZJczzrXPCy0Mdc8dFY/4ObrHq9eWaLoWmuG3VfnHX8+vkylGawwfvfTAEwst+jL2yvCvYmUzNYDSlmbuZpP3QvZ25Pl9EiJqhext+zyRz+8dttGJGMKXhmb49pCg4xpAErv2zIEoj0K1TYFRdfm0myDgYK74rt0vvtC3acvZ+OHMZVWRJxI6n5EImF/T5a5qo8pBLYpaAQJBdeiFVj8YqKKIURbLU/yw0sL///27j1Irus+8Pv33Efffk33vAeDN0AIIEiKlCjKFKzHyjJpUytHjpXI2dRKUWW3orIr62yYVfkRVawoLm15ba25Ke1WJaooFUfyxraSyFakmBQpS5FlQ7T4FoghIBDEezDv6ffjPk7+uN2NnkHPTM9MN3p68PtUqcQZdt++t3vYv3vO+Z3fj/Mzecquz0jSafl+XpgtkHRMsmVF1deN7mFXFkvYZliEZrFYDY9rGcznKwzGI1sKUO0Eu35OIJNe5+JOkWAu7rjVX3BnrmdRwP17U42pVrg1Ol297jicjJAtuY3gB50Z7dSDxtkbWQoVl/l8hZhtAZrlUtjB673HUpSrPj+5kePqUoli1SceMVuWlAWYyVbIlT1MIFOsolTYplMZmmxZYxmKqheWQ3VrDcWbr6V+7aNJh7LrE7VNhhM215ZKOJZJLBJWh3MDzVDcYrFQrdUVr9YKxihsI2wJmnQUjqW4vlzCNBQP7k9jKLXi/QR4cy6PX+uSNpcrhyVVqz4lz2c47jAYs8iUPLQRrtOV3ACK1UYjlc3YKNjthASyrbbJrT/2sZNj/PHpK8xky0ykonzq1MG+uRkR/UOCubjjVmcPV/2Adx8ZWrO61+qp2GNjCV66vMx8vkJQ2wrVzmhnvS/lb792nS/99Zu4fkC0Fgzr+7ZzZR/DMBgfiHBtKQxuYwMOqahFpuhyfrkUFpVJxTg2nlix5ntgOM6etMN3Xp8BpTCMsGm4aSi0Bt8PyJXDmukKGvun69dSv/Zj4wlevLwMwGDM5tpiGJBjtoljm4wkbBYLbtj+1PUpVn1cH6KWJqhtxqv6AbZl4frhnvfvvjHLC5eWiNQK2lxfgplMCXRYICZqGyzkq0Rtk6qvsQyDmG1gRS00ikLVo+wFHB1Lcs9ogvMzhTVL1Lb7t7A6k7zXCWTbaZPbXKTovskUR0fjTE3n+FdPn+fvLiysKJcrxHZJMBc9sbrG+uoM5tV7nJunYscGohyfSHIzV1m3X3Wz5i9a24Tvn5vlGy9f533HRnjvsRG+9N03w1aeiUhY4EWHXcA04Ra2iQGHhGNxcb7AvsEYTm16eT5fxTbD0XV9bfmdB9OcnS5yfalMoAPSsQgDUYvxlMNiocpcrhpmlfs6rKGOxg8gW/ZwPX9FoGiuBnd0NM6r1zJkS2EN9Af2DvCOg8MAfOvV6xQrHoah8IIAQ9VaiRL2JweoegERM8APwLQUaFiuJdQNxy3yFZ/5gstQzCJT9pjLVVEqfK5jGxwYimEaBteXSxwbD6u15Ss+j52cINB6y8sc62WS93pNfTM3E60e+3KtTPBkOsorVzM4lsFgzLqtXK4Q2yXBXPTcEw9M8MVnzvNyvkLF83Esk9Gkw3/yi8cb/371VKxpGnz+o/cB4Zdoq/XqZs1Z5S9fCb9Uh2IWr9/I8tLlZQpVj8l0FFVLSEvWCqCMDkQbhVkqXjgNXm98Uq61HdVaU/WDxtryS5eWw4YmtgE67I2dKXnYphHuV1eKXMnFDXwAIpZBoDVVT/MXr9zgp3MFPnXqIB95cB9PPDDBHzx9jmtLRWayFSKmwXDC5shogjdu5riRKeN6ATcyZSwz3C62UAjQCmK2ouyFGfcaQEO+4mEAOgBN2P/c15ps2WdPKoplwGLRYyhuc325hB9A1XPZOxi2QXVqzc/r70W9Vnun6gastpUEsk6usW/mZmK9IkUX5gq1lrbh30uu4q0olyvEdsnWNLEjBDocAdars9V/hrXLvAJtbVGDW1uELsze+lJ1bBPX1402m2GJ1jzXlooMRE2KVR/bVBwdjZMve+TKHntSDtmyR8ULa68HWrNUqlKqehQqLmjNzVyF4xNJ7t+bouJrStVw//pb8wUuLxY5PBxrNGIZTkQwDUXZ1QQ6bPN5cTbP7/7lWf7xl0/z6197kb9/a5FriyW0DqfnDRWOvgtljyuLJWZy4bY501DsGYwxkgyPWfU1QQC+Dmuz19mWAqUxDIVGYRsKdNgG9epSmUypynLJw7HC1qQRyyBT8siWXLJljz0DDrmyR77scXQ0zltzeV6+usxkytnwc9hIvX98vT/98YnEpsq4trttsV2bKfXa6rGOFZbRzZe9FTdCq8vlCrFdMjIXPff0mRkOjSR4cP9g43f13tfrda166tnzbU+B1kd42bLLgHOrXnoyalGsuFxfcnEiFhFT4XoB2ZJHOmZx/94UVV/z6NFhFDCTq3BtqcSelMNstkygIR6xMAmrw+1JRRmKWxwaTWAoxZGROH9/aQlUuL49loxwdblC1DaxjHDEXKz6KML1eaXCdifLRZcfX1piKBHu486VPSJKMZ5yqHoBL15exq4Fdj8Iwml7NLPZChMph3y5SskL1+FNgFqwd31NxQuT2yKmgQFUPN1IcvP8AA2UXQ/HNHC1JhkxCXT4HDRMDscYTzpooOrrFXUD1vscNhoxt1pzfm5qjsdOjjV6v2+0pNLpNfbNZKOvV6RosVCl4vprlssVYrskmIue2+q66GaeV/+ijZjhtLeqfanevzfFjy8t4kQsxpIRChWfkuvXsr0Hb9s3PTWd4aunL/OdszN4QVj5bTzlMBSPkK2Nyn72nlFy5XAadaHosn8o/ML2A03csVjMV4naBhHLYDTpsFSoosIJCSJWWBtea/DRYe1zqJVNDfd/x2ozCoEOs+FNU+EG4c9lz8fXEI/Y+NprlKh1LAPbNAi0hx8Qbo3Tmlw1DN4DEQOj1oSlPi8fAAeHY+TKPr7WWKbBH/3qQ7cFxVZ1A1q1ot0okWytQHx+psCTjx9f929hK38T7dhMqdeWj60tFa1VLle2qIlOkWAuum6jEdlWC2vU93C7viYZtTg2liBimS2fV/+i/drpy/xN7Uv1HQfSRCyTiqd59PAQSyUP2/TYH7U4Ohqntiy84jrqAWk0GcExDTJlj4hlkq/4pKIWqZjNJ08daozQciUXz/eZyVUJtCYeMcPnWgZeEE7Baw0osGtr3vlKuJauahnu2YqHYYSBveoFlKu1UrJaNcrL+hUPLwhIRCwePTLCM6/fxPYCEhFF2QtqzV48lAqz1BOOSa7sE7EUQaCJ2CaObbDXiTKbq5CIhMl/CcfGMk1OTCQ5PJpcs+tZ/fOby5W5MFdoFLiZms603F7YasTciUDcjSItm23+0+qx9dK+9f8OxgfsjtV/FwIkmIsua2dEttnCGlPTGb52+jLfOzdHqeozlrSpVOH5i4scHInzm0+caPm8k5NpvrDqSzUds3nfsREilsm9k7cCwOqAALdGjlXPJ1f2mKn6REyDhGPx+H0Tjec0j9CWixUWix4Qrnd7XsD0coV9QzGOjia4maswORhlNlshaplYhgGEI/y4FRaZATCUgW0EWKaiUqsV7/rhdLxR2+ZWG9w3+pxXvQDLAMs0KFQ8fB0ebigenu/pNxeoeD4LBRfLMBiKR4hHTLxAU6hN/TuWweGROIZhrLlOXf/8FvMVzs/ka1P6MJlyGp91O4G6E4F4Jxdp6Vb9dyFAgrnoso1GZPXAmiu7teBqcd9kes1RS/3m4OJcnrFkuI1sPl/FDTTpWIS9tYCxXuOS1V+q9WPC+gHg+nIJy4BXrmawDEWp6lPEY6lYZTRhM5yMNp5TP/43X7lOxAwoux6+rym74baxshvh0GiCiG3y+Y/ex3/3F2e4ulii6PrEIxa24ZOKRii4PjHboORqbMtkTypKoeIylw+T7QLA98IbhaFEhJ87McaTjx/n9RsZ8mWX5XKYve4FGoNwtD8Yt/m7C/MslTwUMOCYVLyAa8slxhJhgZrjifC9rPh6w4zw+s3L5755FjcIGE06HBtPMJqMNnIf2gnUnQjE3eyAJsROJsFcdNV6I7LmUfvJyVTjy3u9wNEYHfsBA45FLGIRtcMELccy+O4bs7x4ZZkTE0kOjiTaqhi2XgBoHsVPTWeZXi7hBRrXD4hYCs8Pi7H8/aUlHjow2CgWU59aNgzFRCrCpQWPgHDvt2UYzOYqXFkoNKauf+8/fGDF6x+fSPC3Fxb4ztkZ/MDg+HiMBw+kuTBbwDINym5A0Q0AjWlCLGIx4NiNTm73700Tt03enC9wYTZPoDWGEb4+QMn1GzcDI8kotqm4makwk6vyS0dG+GStoEn9+jfa+ndyMs3B4TiPHhnGqCcANH3WzX3Tu92zXEbA4m4kwVx01Xojsq1kHtdvDlJRu1He1A8Cri6VmEzHGoFkvcYlrbQKAM03G5YBmWK4LcoyFMqAigemgkTUQtemvus3D4+dHOM7Z2+SKbmUqh4R06Baq7zm6rBxy7mZPL/2wXsar18/z/rU8ydPHWqsv6dj4Vam+fwitmGQjtvsjViNRjAA7z4yRNUPw3k4yi1yz2iCq4tFbNNE6zCQLhZcKq6PYxs8emSYK4slbmbLYdGcZGRFIN9MKdX1Put2A7UEYiG2RoK56Kr1pk6/8sNLm054qgeM5vKms7lKba05TO5KRS0qXtCycclmNN9snJ3OMpKMUHI9losuESNcz67W9qlHrLAymlKK60tFfnB+jtFEhOG4zcVClYAw8CtFY/ScjlorOqP9wdPnWCxUqXoBP53J8dq1ZX7ziRMrguBI0mHPgMNMrkLZ9dk/FKfs+ji2SdS2GoG0eerbNBSWYTCecohHLMquz81MmT3pKIPxCBfni+wbjKG1RinVCNibvdmqf9ZLhbAy30Khim0a/MaHbt2wbCdQ93PDFSG6TYK56Kr1RmRbSXiqB4x0LNzic/ZGjkLF5/BInIcODHJhrhCOOmv1xts5Zt3qYHF2OsO9e1IA5MseScdkTzoa7vk2DSqeT6DDIA0wl6uQiFgEOpyGr/hhYRnLNKh6AT5hxnrMNgg0XK0tNZycTPPV05e5slAkGbUYqN2MXFko8tXTl/mXH3twRdD/8g/eYk/K4Y2buXBUruHQcLzltPXB4Tj3jMV5+UoGQym01uhattxo0uH1G1mc2gVUfc27DoXbpurvQztbzp4+M8PrNzJkyx6lqseN5TIx22TvYJQ9qSjPTc1xdKx1Jny7dkLDFSF2MgnmouvWGpFtJeFp5c2BxwdPjHP/3hQRy2zcFLx0ZblWZcu6rXEJtB7hAbcFi6sLJeK2yeHRZKOka9ULt39lyy5ah2vQsUiYQBaPmOSrHiU3IGKGCXIVz0cT9v82TYVjGZiGiaE1ZtMo+OWryyQds1ESNmqboDUvX11e8/qLtTKxqajFkbFky5Fq/YbpXYcGuTBbIFt2iZgGj907zidOHeJf/PlrjfrxD+xLMZqMNuqsb3SzVQ+wvh9wbbEECmazZdJxG8cyOTaeZGzgVhLcdoJurxuuCLHTSTAXPbPVhKf1stFHkg7Hx5Ocn8mTjodf/s3HXGuEF7ON24LF8Ykk52byDCUcjo7G+eH5eZbLLsNxm0LFJdxwBq4fFm+J2Qalqo/r++TdANMwUAoSEevWKN4wcGyDZMRiMBFp1OcOu5uvFG4/V6y2menq5pmMnzky3Lhhqnfsat5SV1cP2BvdbNUD7NnpLI4dlsidyZapuGG50gtzBcYGtr7M0azXDVeE2OkkmIue2s46avMIO24bVD2f6YzHkbEkv/5z96zbcGX1CO/5txZ47OTKfdSHRhMUXZ90zCZf8Ris1VFfKrtYlkHCNDANAzfQREwoukE4/e5SS8QLK8S5fljRzTIUx8YSVH1NxQs4NpZoBKR3Hkhz+uJi2KCl1sglX/E5dXR4S+9N3UY3TK0C9uWFAnvTUb7yw0sr3tfVz60H2PoSBEDMNinVljnytYp4nShb2o1iMELsJhLMRV9aPcKujxo3WkNda4SnUI0SrHW5ssf9e9ONUqKf+fqrXFkoMJiIEGjNjeVyuN0rgOGEQ7HqE7NNvFp1lrIX4NgmEdPAMjSLRY83buYZiFk8tC/dmIKOmOGovOh65Csu8YhJOhbhyGiCT5w6dNt1bzYJbL0bptXBPmKG9d5ty2Q4ad32vtYboVxfLnFlsUjV9RtLEPVucxUvIFv21lzm2IqdXAxGiJ1AgrnYlJ2SUbzVNdS1RnjvPJBu9FRfK1jsG4zxypVlhhM2Sin21iq3GYbGNAx++8PH+Hffu4hhgGWY7B+OE49Y5MsuF+fyxCMWbqCpuAFT01ls0yBX8TCU4sBwnA8eH2NqOsdsroIfhL3Onz4zw8W5POdnCrx+I8O1pVLLPfT1a9/K51IP9lPTGX7z669xbbnEq9eW2ZOK8tCBdGMpAFbmFbiez0tXljk6GidbDMJOcgrevi/FpYUiZdcj/5bPOw9s/+9DisEIsT6l9eqVujvwokp9HPjvgZPAz2itX2jneY888oh+4YW2Hiq6oHk03BzwepFRXG/u0VygJNCa6UyZL378oTWft941wMqAeHwisaJb1/GJBF/67pugwDJgLlel5IZ9wN99eIgvfOxBnnr2PJfm85ybyddaiBq8cTNHqepzdCyBbSrmchUKVZ9DIwnesT+N3ZS8N58v8/+dC+vNDyVs/ECTK3s8emSY6Uy50czlXYcGGxXWXM+n6Aab/lyab8yKZZdXrmWYzVWwTWp92hXpuM2pe4Zx/dY3Qpfm80xnK6SiFtly2GluPOlwI1Pm0EhizfPZKTeFQux0SqkXtdaPbPS4Xo3MzwAfA/7nHr2+2IKdlFG81TXUjUZ46yXKPTc1x688PMmf/v01ruUqxCMmEykHP9DcyJSZms40irWcmEg29lpXPJ+9gw6D8QgQNi8pVz2qgabia4aTt/4zfO1qhlzZwzAUqajN5YUixarPxbkCvqblHvrvTi3yM0eGN/W5rC6I83dvLVKseNRablNyg3D9u+pz9kaOD54Yb7lEcXAkgW2ZK26gnnr2/IoblFYlfLezzUxuBIS4XU+CudZ6CsLezaJ/7KSM4u2sobaTdLfWjUuxqrl3zwDFqk/ZCyhUfR7al2YiHVa0e/Lx442bBdsyOXXPKP/Pq9dJ1nqoF6sei4UqhYqHZRo45sq1+ulsGctURG0TpRS+1kRtxXS2zNGxZGMP/VyuzI8uLjCfr5ApuVQ8D7h1Y9NcMrdV4FtdEKfRTx2oNV0Nt9VpWCqGJXafPjPT1g3URn8n27kplP3mQrQma+aibTspo7jba6jNAemnM1levZYJW4gS7i0/MBTHscP95W8tFEnHw4z3+rk1n8d8rszpi4u1pjAVwmCpGI5HODeTYyFfxTQMhhM2FdfHrHUwg7BrWcX1QcGxsQQvXVkmW3bJFF0iloltGAzFbZ6/uMSpe1SjfG2u7OGYasXo+/vnZvnGy9d5/7ERZnIVTk7eKogTsw0qriLQYeOVkutT9TRJx+B9x0Ya1/PFZ87zcr5CxfNxLJPRpNPo2V230d/Jdm4Kd9LskBA7SdeCuVLqOWBPi3/1Wa31X27iOJ8GPg1w8ODBDp2d2Io7lVHc7jRqN+t41wPSbLbEDy8sEKmPois+nq9ZKrpMDlqNIi8vXl5iKOHwma+/SsQMd4fXO4797LERbmYr/OT6Mn6giViKgajNPWMJzs/ksU2DwbjNQqGKYRhEDDCNsFpbPGKSKbnsTccae+j/9s0FEk7YO/3YWAII27+euZ7lA8edxudS3ztf9XxeuZrBsQwGYxZnbmTDIje2yZGxsCCOHwTkymFnN6VUrR0r3Lc3xSebMuqDWo5Nff970CLnZqO/k+3cFO6k2SEhdpKeJMA1Xlyp7wOfkQS4/tHt9cqdkmRXP4+/uzCPFwRYhoEXaPwg3DNe9QOOTwzgWAZLhQrXMxUePzlOLGLy47eW0MCjR4dwrHB71mMnx/i333uTcq2KnG0qXF+TiJiYpsEv3Bfe916az/PqtWXSsbAfecQysE3FiYmBxs3B6zcynJxMNZL/5vNlfnRhnmuZClHb4MBQnF//4FG+d24e24QfnJ+nWPWJR0yG4ja+huPjSc7dzPOee0Youx4/fmupNto2WCy6+Frz3qMj/NJDk40kwCuLRfYMOBwZSzbep3pQrm/fa37/1vo72c5n/NSz52+7EVjrHITYDXZ6ApzoU93uatXJadTt3HjUp/H/+o0ZLKUwTcVA1OJmtozrBWgIM80rHtmyz4HBGIdHk5y+uIBpKDIll2fPznLPWJI9KYfzMwUePjDI6YuLjCadRpb7XC2R7kcXFxhJ2Mznq1Q9jWObjA043L83fVsgPH1xgb/6yU2GkxFGEzZT0znm8y7pmMVkKkq+4vN/vnidmG3wxs08xapP1DLwfM21pTIHhmIcHFlZEOfRo8MrZhNalbh9+coS2aJLMhp+bVyYK5AruaDYsGd8q/d2rSWS9T432W8uRGs9CeZKqV8BvgSMAd9WSr2itf7FXpyLuDPaDaydmEadms7wtdOX+ZsLCwzFbU5ODmwpUerkZJoTe1Jka21PpzPlsJWp62OaYXA8PpHklUqGhw8PAuH6+HLRxTbDafKy6/PGzRxF12cs6TSKsxYqHhUvQGuNbRosF6tMTWcZSUTYPxTjvsnUbb3d6yPayZRDplglW3J5czaP5weYpmJ8IEo0YoFSYZJd2WWx6FKu1YiP2WYttS2c1r5vMr3uaPapZ8+vuLEaTTpkSi6vXcvgBWH/eNtUKzqtbXZve6vPbr0EN9lvLkRrvcpm/wbwjV68trjz2s1AnprOcGWxyMtXlhhNOhwbTzCajG4qya7+Whfn8gzGwj/vV65mePjgYKP4STsZ0/VgMZqwuTyfxw/AVJqAsDraZMrBDQJu5iq8/9gIthWunZe9gEBr8pXw/+fzFSKWQabkkY5FePeRIS7OFxslaN1AkS275MoumjBz/NQ9Iy1nJJpnLZJRiwuzBa4vFfECzdGhBIlaxrxjGczlK8xmK+xNOywpyJY98oHHvsEoJddvazS7+sbq2HiCFy4tcX25zFgyws1MuM/+4HCcIAg6koTWzsyM9DwX4nZGr09A7H7NX9CGUo1/rlcVg6bWngMOtmGQKbm8cGmJS/P5xgh1M69V9QOidtiFzLEMLswV2hrh188jU3KZTEcZT8UYG3DIlqsslTzKXljR7CMP7eMfvn2Sg8NxPnHqEFcXi3z/3CxL+QqZkkfV80lETCpuwEKugkE4fR21LU4dHWF8IMpwIkLZDRPqXL9ex92nvmNz9fleXy4xUJviHk1Gec/REU5OpojaJpZ56z/lihdQrPgkHYu4Y3PP+ADHJwYYjEVYKnqMJJ22RtH7BmPkakVq6q95754BdK04D8CB4RimoXjjZo6z05m2PqP1NF9jnSS4CbExWTMXXdfO1Plto865Aov5KtPZCp//6H1tj8Tqr2UqxeWFIr7WtR7iZlsj/KfPzBAEYbnVbNnFUoqlostQ3GFPygGlmC+4zOfL2KbZOF4jq1spTENjKIWvIR4xSDomAWrFeq9SmqtLpfDmJm5TqHp4viZumY2CMKvPt1UW+GQ6ylyuQq7soXV4Q5CvhFvZ3rE/zeXF8D2OR0z2pByWSt6K93Oz69OGYbBvKI4f6BXnUfECMqVbgX+rdtL2RyH6iYzMRdetHuHB7V/QzSOysYEop46O8OG37+HgcHxTU6r7BmNcWSg01qQNBa4XsFhwubxQ2HCEf3Y6wxs3c5RdnwHHYjZXoVD2sExFxQ8DdsRUnLmebcwYfPX0ZRYLVVxfE7EMEo7FQNQmZhuMJh2itkUqajXWe9Mxm0JtT3rSsbDNcCuY1oDWZErVRoOSJx6YaDQ3OTud4UdvLvDWXJ5AazIlF8Mw+MwvHufU0WG8AKqB5tGjw/z8veNMDsZ5+OAgjm3WArxasWd89SxEffljqmmEHbMNnn9rge9OzeJ6Pp/+wJHwxkxD2fUbeQHUqtNt1xMPTDSuvX6Nm5mZEeJuJSNz0XXtZCBvZUTWalT5xAMTPPlnN3Fsk/1DJnO5CtVAMzHgsDcd3fDGIFPywn3Wtf3jvtZYta5mDx8cbMrg1o167j+8sMBQzCLphFP6xapPxIRC1Wco0I0Oa089ez48v8ePh9XZbmTC7HVfE4uYDMYslkoehgr3h7/78CBfPX05PH7c5r69A8Rtk3MzeWayZbRSpGMW52cKfOLUIb7wsdt7vKdjNo829TFv3jO+3vo0hJnsQRAw4FgsFKq8eGWZgyMxsmWPQtUjW9E4psFYKsqh4fiKLWtbJQluQmyNBHPRda2+oN99eJCnz8zwlR9eajQxeW5qDmhvy9F6SXX7h2JkSy75is+h0STHxhKMJJ3GOu9apqYzzGZLLBZcFgsVxpIOpoKKDwOmwdhAtNG2NB2zOTmZ5qlnzzMUtylVfeYKVapegOsHWIZiJG5zfamEF2gOj8R4ay7Pl39Q5NMfOMK+wRiu5+PrWw1ZsmWPCcviX//qgwCNRL6hWiLfy1cyvOvQICcmbu0RH6i1GV2dUNhOUFy9/DGfL/PTmTwzuQqnLy4Qtw1uZis4lsFIIsJstsz/+OwFxlJhVrttGkQMxZ4BB9M0OjZ6lgQ3ITZPgrm4I5q/oNdqYvLYybEVXcrWG5GtN6q8f2+6ZWGRjUb54TlFsA1FtuxzbbnEWNLBqvqkYjaB1rfdZJydzpAvu1xeLGGbikTExDENcuVwmj8Rsdg/FMU0DM7P5jk+nuTpMzMtG7LYpsFv/Pw9jZuEdMzG9TVJx2z0MbgwW0Brjde0Zr3WXvyNgmLzbMh8vsyLl5cBmBhwWMxXuVCoMDbgNGYp8hUPNwin1Q8Ox5jLVZgvVHlzvsAXP/5g1wKwNFYRYmOyZi7uuLWy28/PFHjy8eN88eMP8eTjx9f9wl4v63kr6671c3pgXwrTNNmTjnJ4OE7Csbh3MsX9e1NMZ8qkY3ZjBDw1neHqQolMySMVtTAUZGsNVAbjNlHb5OhYgoRjN7Lqb2bLXF8uNUbOCcciV/FwLJN3HRzkaG2qun59yVqXNKA2endZKFQZTtgrzn8rGd/N79NPZ/KN3x8bTzKcjODV2q/W5Ss+thkm9iUcm8OjSe4ZTRBo3dVAvtG6vhBCRuaii9YaUXWiMMx6a+xbWXetn5OhbN51aJALswUypSqGChPMWj336TMzHJ9IciNbImoZRG2bqqdxA43SmmLV4/JCkfGUQzxihaVSCy6n7rk1Q1ByAx49MtJYWqhPl9evr95cBUBrTcQ00Br2pFa+f1vJ+G5+n2ZyFSYGHI6NJxkbCI/95myefCXMkq/Uqt7ZpsKxbo0BNLfqtEPnR9HSWEWI9kgwF12x3pp2J7YfbZRU11xo5fpyqZHUtVYAaD6n0WSU0WR0xTk+9ez5ljclh0YTHJwvhIl2vkYp8HyfqG2RdGyqXsDVxRL7h6J4AViGaswQrBeo6teXjtm840CaqekcyyWP9x8b4WePjfDc1ByZkrvi2t99eLCR9V6fLWhVDnZ1sK1XgWu+3rGBKA/sHeDMjRyLBZfhhM2elMNCvkrSsRoBPl/xOXV0eMPPfKuBVxqrCNEeCeaiK9oJVLBxsltz8HFqWeXVWv3w9dbYNxtY1jqndx8e3PCm5KEDaV68vIxjGUxnSkRti4HaOne9VOv15TITqWhjTRzWD1TNo+Z8xeODJ8ZXBOWjY8nbEgqfm5ojCAKuLBRRSpEtusRtky8+k2Ei5TCXr3B1ocTxiSSHRhMrruX4RIIv/fWbuH7ASCLCZDrKcDLK//DLBxrv8bHxJBdm81S8gGzZxbFMjowm+EQtQ74bo2jZdy5EeySYi65oN1CtNw3eHJBtE05fXEQB7z4y1EiaWys4bzawrHVO7Y6e33kwzdkbOQoVn8Mjcd5xcBCtw2YkpqFAwR/96kMrXnt1AtqF2QLz+QojSYep6cyGzUqa/109YW5qOtuofFd2fd5aKFCo+Mznw6x0FJyfzZOMWo3p9K+evkzJDTg+nuRmtsxiwSVb8viNn7+Hjzy4j4+s+kzWmkbvxihaGqsI0R4J5qIrmgPVXK7cqOg2nIxsGKjqmgPpjy5mGwlvF+eLnDo60nhMpxq2tDqnr/zwUps3JR73703hB5qyG/DT2QLHxhKcOjrCW3N5buYqjW149QBYD1RLhQpv3MyFI3nDYM+As2bt+o0CabbsMtBUo/3ifIG96Siur6n64dR7xQu4MFdgbCDKQNTiuakFHj0S1oOv7xXPlFzOzxRWBPK13qO6boyiZd+5EO2RbHbRFfVM6bfm8rx0eZlsycU0YDLltJ2N3JyxHk7rhvux87UM6/WCcztV59qx0XFO1jqP/dP3HabkBtwzlsA0IFtyeenyMq9cWeTlq8tMppzbsrHrgWo6W8EPIBWzefjQIEfGkmvWrl8rq7t+nqmo3ch+r/+/ApJRq1Hi9tpSkYtzeeZyZXJlD4XqSD30blVvq7/H7exyEOJuJcFcdEU9UN3MVXCDgHTM5pHDQxwevT1QraU5kNaDVMULGv201wvOnQos7R6nPotweDTJI4eHwj3iQcBP5wo8fHCQw6PJlk1mTk6mOTgc58Nv38OpoyONqe/1ate3Ok79PPekHMquz2yuzLWlEhXX5/JSiYhxq+0qgKng+YuLXF4o8M4D6Y7c+DSXq129jU8I0V0yzS66ph6oHj0yjKFubV9qd9TXvF56dCzO8xeXUNDoT77e2ulm1uXX20rV7nGap/Xr2fCB1nzz1RscHEmseOzq64+Yih+cnwsLxEQtjo0lKFQ8prMVPvP1V9k3GOPsdIZ796TWPM7qbWY/nckTs00m0w5LBZcz0znGEjYTKYf5fJVYxCQZtdibjvKJU4c6ti4t1duE6A0J5qKrtrOOunpN+tTR4UY2ezpm35a93ioorxdY2s14bydArXWdE6mw+9la1z81nWEmG3Y9SzomlarHD87P4/o+jx4ZaZzX1YUScdvk8Giy5XGaz/OpZ89z755U4zXn82X+35/cZKnocXQ8ybsODTE2EN5sTGfKt92wRExF3DZuW+MXQuxcEsxFV203G7mdQLrV/c2rM9Vd3+fiXJ7/5s9f5Rfu27OpILbWdX7q1MF1a84/fWaGA8Nx9qQdLswWyJZdChUXpRQX5grczFU4Npbg+ESSczN5hhLOhu/j6uS/0WSUt40nw4I1tcRBuH3tv17Vrv5eDidb130XQuw8EsxFV92JbOR2tqG1Grk3B716bfKIqUCz6SC23nWu3hPefP3NledGk1HmcmW+tVTERIUjddfnpSvLvONAmv1DMdIxe8P3sdW0/WQ6SrbkcWk+v7IW/Ifu2fR7KYTYeSSYi67r9jrqetvQpqYzt7URrQfqmG00psAvzBYaZUoHYtaWgtha17mZ7VwX5gpETBPTUCtasU5N5/jgifFGtba1tJq2f/7iIgdH4vzKw5N846VpvEAzkoiwJxXluak5jo4lu7pXXAjRfRLMRc9tt573WuvVEVOt2UY0HbNxPZ9MyQUgU6rimAYVX3P/3jDRrN0gtp3zXz09v5ivknRMUIqy6+MFAXPZCoWqzwN7U42taGu9Xqtp+3qiW7Gqec89I7d1k2u+YZGKa0L0J9maJrpmajrDU8+e5zNff5Wnnj3fcm95fY320nyeKwsFvvXaDZ78s1f59mvX2z7OWtvHFDTaiDq2SaA1S4Uqz7w+w9kbGWbzlcZWKkMZoBQPHxxsbA9rJ4htt6vX6u1cw8kIDx0Y5L3HRvADzdXFEoGGI6NxbMvkD54+xxefOb/m611fLlHxvEYgT0XD2YiKr9ftNLfRe9mpXuVCiO6QYC66ot0g9/SZGYIg4NxMWPN7JBEB4EvffZOp6Uxbx1lrf3PF1402opmSy43lMhoNGrJlj6sLYRB78vHj/OtffZCjY0kilrmpILbR/u92NBdF+fxH78MwDGzTJB4x2TsYY3TA4cH94WzCYqHKfL6y5us5puL5i0uUXZ8Bx6Ls+jx/cQnHVG0V0pG94kL0J5lmFxvayjRyu4lU15dLTGfKOJZB1DYpVDwypSr5ss/nvnmWt40l2jpOq3Xp5jaiz7yeDxt1ajBqt7DHJ5KN42w1Ua/Ta8yt2pKOJiO8OVfg5avLzOUqDDjmmq8XtiRdSdV+3+7Ogp28V7zTLVaF2C0kmIt1bWbbV/MX7es3Mjy0P71i7bVVkNs3GOPlK0uMJCJhoZRMGQUMRE0W8hVuZsq899gwsP5xWmluhDLgmJRcn7IXcGAozoP704wknRXH2UoQ61Y98vp5XJrPc24mj2MZDDgWs9kKS0WP+XyZ0eTtywFVX/PuI0NcnC+SL3skoxYnJweo+rrv65x3o8WqELuFBHOxrnZH2Ku/aH86k+PHby3x6FG17hr0Ew9M8MzrN8mWwxF5fRSZcCyGE2Fp0rM3coyfuPW8rRSdiTs26XiE+/emGueTKbkrjrOVUd9W99G381pPPDDBk392EwibplS8gAHHxAvgzPUsHzju3PZ69ZuL5v3kzTcbO3nUvRHZNifE2mTNXKyrnaQpuH3t+IF9KTTw+o3sumvQJyfT4V5nDfmyT8RSDCdsTMPg2HiCk5MDLBW3npBVX4/eaE18q4lsW1ljbve1Tk6Ge8tTUYt8xcexTX722Cjve9sIVT9o+Xq7OYGt3b9FIe5GMjIX62p3GrlV1bFHjw7x6tUs05nyulO6H3lwH0fHknzum2dZyFcYTjgcG08wmgwD3fuOjbRVLKWV5hFw3Daoej7TGe+242y18Ex9pNt8Pt9+7Tqf++ZZZrJlJlJRPnXqIB95cF/j329mhHn/3vRt73+m5PIL9+1puee836fS1yPb5oRYmwRzsa52p5FbfdE6lsXj903wxAMTPH1mZt1a3ycn03z+o/fdWuOuZaBnSu6W10RXT/3Xz73V8TZKZGt3vfbbr13n9//qHAnHYjwZIVty+f2/OgfQCOibSZpb7/1v9+Zit9huaWAhdjOZZhfrancaea3p3eMTibanrzu9LWoz28Y22rbV7rH++PQVEk5YQc4wDNIxm4Rj8cenr7T9Wu28J8C29rd3Qjt1BDpJts0JsTYZmYsNtTPSW2t6d7NJS50cVXZqBLyZY81ky4wnIysf55jMZMttv9Zqrd6Tp54939NksF5llu/WWQchtktG5qIj1pry7VTS0lZGgZ0YATeXOW3nWBOpKLmKv/JxFZ+J1K0bgU6MMHudDNaJYjlCiM6RkbnYtvVGaZ1IWlrr+I+dHOP8TGHN7V2dGAFv9lifOnWwsUY+4JjkKj6Findbd7K1Xqvd7XG9TgaThixC7CwyMhfbtt4orRNbpVodPwgCvvTdNxtrxm/N5XnyT1/lv/jff9wYuXdyjbXdY33kwX389odPkIrZzOarpGI2v/3hEyuy2deyme1xvd6CtplZDyFE98nIXGzb2ekMmaJLruKRitocG08wnAirq3Viq1SrUeB0powXaNIxm7lcmfOzeVCQqe1Jb16/7dQaa7vH+siD+9oK3qttJr+g11vQJLNciJ1FgrnYlqnpTNiwREEqGjb2ePHyMicmkhweTQLbT1pqNaW8UKg2mrJcmAt7kTuWQa4S9idfzFf43DfPcnA43jc1vDc7dd3LZLBe30wIIVaSYC625ekzMxyfSHJ+Nux6Vi87em4mz699MFwn3m5zjFajQNs02FNLKsuXPZKOScULSEVrI/WZPG4Q8OiR4b6p4d3rdfDNksxyIXYOWTMX23J9ucSh0QQPHxzEsU3yFZ9U1GL/UIyTk+lt9/uG1uvVv/GhezBNg0zJJemYZMseFS/g2HiCC3MFUDCadPoq07rX6+BCiP4lI/O7SDfaR9ZHk2MD0RUNTJrXezuxH7rVKPDoWNjCNBWzyZY9TkwkGU44LOaXMA04Np5oPHa96eqd0lZTpq6FEFslwfwu0a0iH6unwC/PFzg/k+fASIynnj3P6zcynJxMrXhOp7YwNQf45oA8nIwwmXIaLUJh7enqndZWU6auhRBbIcH8LlEfIVc9n+ffypIve9im4qunL/MvP/bglo/bPJp8/UaGa0slTuxJcnAkQabkcm2pRNw2OTKWbDynG+vAqwN7fWp/o0xraasphNgNJJj32J2a4r2+XMIy4JWrGRzLCBPGXJ8fXlho7MneqnogferZ8+wfiq8IjCcmkpy7mWc46bQMrFu5/o2es5np6lYZ5BXP49mziz2fdhdCiHZJMO+hOznFu28wxvfPzeJYBlHbDH+pFENxu2Oj0FaB8eBIgqLrt2xhupXrb/c57U5Xr84gn8+Xef7iEgNRqyufyU5ZnxdC7C6Szd5Dd7K+9RMPTLBUdNFao7Wm7PpUvID79g50rATnWlXB7ptM8+Tjx/nixx/iycePt+wh3u71d/o9W51BfuZ6FgXcvzfV8c+kE5n9QgjRigTzHrqTzTJOTqZ5/7ERlFLkKh5R2+RdhwZxLKtj69eb3Vq1levv9Hu2ettb1Q9495GhRmb+do/fTJqTCCG6RabZe+hOFwn5xKlDjSnqbpTg3OzWqs1e/9R0hiuLRV6+ssRo0uHYeILRZHTb71nzlPxTz54nU3JX/Pv68bc7RS7NSYQQ3dKTYK6U+kPgPwCqwJvAf661Xu7FufTSna5vfSf2MW9ma9Vmrr8+Rb1nwCFbq7/+wqUl7t0zgGEYW37PVgfo4xMJnpuau+2c3n14cNv5Df1W4U0I0T+U1vrOv6hSvwD8tdbaU0r9KwCt9W9t9LxHHnlEv/DCC10/vzvpbk+Iavf66yPmemOVC3MFFvNVhpMRPv/R+7b0njUn0zUH7latVZ8+M7MiEM/lyrx+I4vrax6/b6LtLPxWr7fRDcHd/jcixN1MKfWi1vqRjR7Xk5G51vo7TT/+CPiPe3EeO8HdXiSk3etvnqKuV5sLtGY6U97y+7fWHvPzMwWefPz4isd+5YeXGq8/lyvz0pVlHFMR6IBMyeUPnj7H3nSUiq9XBNzVgXj1jcJGMyM7raiNEGJn2glr5v8E+LNen4TY2boxRb2ZNezm1693aQNIxyJUPZ8rC0UWC1U+cHysEXAfOznGc1NzKwLxc1NzmwrEUtRGCNGOrmWzK6WeU0qdafG/X256zGcBD/iTdY7zaaXUC0qpF+bm5rp1umKH60YTkrW20rW6QWh+/Vwp3OLX3Ngl6ZhU/WBFlvofn76y7ez1O7njQQjRv7o2MtdaP7bev1dKfQr4JeDn9ToL91rrLwNfhnDNvKMneRfYLeutnU7em5rOMJcr88MLCwzFbe7bO4BjWWsm4DW/PgqUUrzrUJrRZJSXr2SwDEhFb80aDEQtZrJlHj0yvOI4mw3EkjQnhGhHr7LZnwB+C/gHWutiL87hbtCt9dY7eYPQjddqfl9+9p5hpqZz/O2FRd5/bGTd96a+vl/PwrdNk0BrbFORK3u8ff+t5+XKHhOpcNvcdgLxnd7xIIToT73KZr8AOMBC7Vc/0lr/2kbP243Z7N3UnAFeV/95dYJXu7aakb2Z49eDt2MqbmTKHBpJdPS1OvG+NJ9nxFTMZCscGI7flhVfXzPfzvnvltkVIcTm7fRs9mO9eN27TTeKlHQzIWv1TMIPzs+RL3tMpqMYyu7Ya3XifVmdhb864NaXAOo917ezNHC373gQQmxsJ2Sziy7pdQb4Zq2+Uaj6AUnH5MJcoVFetROv1Y33Za2AK4FYCHEnSG32XazXGeCbtTpzOxW10UC+6fVyZQ/HVDz17Hk+8/VXeerZ85tuVNKN90UIIXpJgvkuVZ/2zVdczk5nmZrOko7Z215vfuKBCa4uFvn+uVmeeX2a75+b5episSOBcPWNwrHxBPmKj22qRtC9uljkRqa8rc5jq5urdOJ9EUKIXpJp9l2oee353j2pRuJVpxKnglrSpEKt+Hm7Vmdu26bJkdEEEymH6UyZfYMxqimHiGVue83+bp7+loQ6IXYfCea7UDeT1J4+M8OhkQQP7h9s/C5Tcjty7JZ7yX/x+IrjfubrrzKS7M8iKjshiEp5WCF2Jwnmu1A3k9S63cZzoxFzvxZR2SlBVMrDCrE7STDfhboZ8HodTPuliMrqUfh8rrwjgqj0VBdid5IEuF2om9navc4E74fktfoovDlJ728uLFDxVu4C6EUQ7eZuBCFE78jIfBfqdB3zO3XszZzDTgreq7Wayh6K25y9kWP8xK2g2Ysg2i8zG0KIzZFgvkt1M+B18tg7ISmsE+fS/NzXb2R4aH96xVLEyckB/u7NRTIlt6dBdCfcjAkhOq8ntdm3Smqz31ndDrTdrvN+p85l9XPrZWgfPTrcqFyXKblUPZ+xgeiOuHERQvSHHV2bXex8d6Lj2pXFIpMpp+dJYfXX3GqC2urnPrAvxek3F3n9RpYPHHd6epMihLg7SAKcaKk5QBlKNf756TMzWz7m6sSwxXyVN27mmM+XG4/pVWb16lKymzmX1c8dTUZ59OgQrq93bJKeEGJ3kZG5aOlOdFwbTkbIllxevZoh4RTIll0ipsEDe1PbOvet2M6Wu1bPdSyLx++b2HKrWSGE2AwZmYuWurGFafUI9thYgrLrc2m+QKnqETEU+bLHjUx5081Ttms7W+56vV1PCCEkmIuW7kTHtbGBKLapSDgWXgBOxOLRo8McGklsejp/ajqzrU5q29m/3g9734UQu5tMs4uWurGFqdUe54qn+dDJMcYHbo34A603NZ0/NZ3hi8+cZz5foeL5/HQmx5nrGT6zqq77Rraz5W6n730XQuxuEszFmjodoFrdILz/2Ai2Za543Gan8792+jJvzRcYiFqkojYVL+Ct+QJfO32ZL3zswY6dvxBC7FQSzMUdtfoGoZ7hDluvSPby1QxJxyRqhzcFUdtEa83LV+/sursQQvSKrJmLnurEerNG1zqr36JqvxdCiLuBjMxFz213Ov+dBwZ5/uIiKIVjGVS8gHzF59Gjwx08SyGE2LlkZC763idPHeLgSBygkS1/cCTOJ08d6uVpCSHEHSMjc9F1263xvtHzT06m+c0nTuyYhi1CCHGnSaMV0VXbbaayk5qxCCHEndZuoxWZZhddtd0a792oES+EELuNBHPRVdtpYNKJ5wshxN1Agrnoqu3WeO9GjXghhNhtJJiLrtpujXdpYiKEEBuTYC66artFYaSJiRBCbEy2pomu225RGGliIoQQ65ORuRBCCNHnZGQu7lrbLWYjhBA7hYzMxV2pXowmU3KZTEfJlFy+/IO3mJqWTmtCiP4jwVzclaQYjRBiN5Fp9l2qW1PIu2Vq+vpyicl0dMXvpBiNEKJfych8F+rWFPJumpqWYjRCiN1Egvku1K0p5N00NS3FaIQQu4kE812oG/XMp6YzPHt2hh9dnOdHFxeYz5c7ctxekWI0QojdRNbMd6F9gzEyJZd0zG78bjtTyPXpddtUoA3Krs+Ll5d516FBbNPs26lpKUYjhNgtZGS+C3V6Crk+vX7/3hQVXwMQMRVnrmdlaloIIXYACea7UKenkOvT9mMDUR4+OIhjm7i+puoHMjUthBA7gEyz71KdnEJunrYfG4gyNhBt/CyBXAghek9G5mJDkvkthBA7mwRzsSHJ/BZCiJ1NptlFWyTzWwghdi4ZmQshhBB9rifBXCn1e0qp15RSryilvqOU2tuL8xBCCCF2g16NzP9Qa/2g1vodwLeA3+3ReQghhBB9ryfBXGudbfoxAehenIcQQgixG/QsAU4p9QXgPwMywM+t87hPA58GOHjw4J05OSGEEKKPKK27MyhWSj0H7Gnxrz6rtf7Lpsf9DhDVWn9uo2M+8sgj+oUXXujgWfaf3dJPXAghxMaUUi9qrR/Z6HFdG5lrrR9r86H/Hvg2sGEwv9vVG56kY/aKfuKy51sIIe5uvcpmf1vTjx8F3ujFefSb3dRPXAghROf0as3895VSJ4AAuAz8Wo/Oo69cXy4xmY6u+F2/9hMXQgjROT0J5lrr/6gXr9vvOt2n/G4gOQZCiLuBVIDrI9LwZHPqOQaZkrsix2BqOtPrUxNCiI6SYN5HpOHJ5kiOgRDibiGNVvqMNDxpn+QYCCHuFjIyF7vWvsEYubK34neSYyCE2I0kmItdS3IMhBB3CwnmYteSHAMhxN1C1szFriY5BkKIu4GMzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HMSzIUQQog+J8FcCCGE6HM9DeZKqc8opbRSarSX5yGEEEL0s54Fc6XUAeBx4EqvzkEIIYTYDXo5Mn8K+E1A9/AchBBCiL7Xk2CulPoocF1r/WovXl8IIYTYTaxuHVgp9Rywp8W/+izw3wK/0OZxPg18uvZjRSl1pjNnuCONAvO9Poku2s3Xt5uvDeT6+p1cX/860c6DlNZ3dpZbKfV24LtAsfar/cAN4Ge01jc3eO4LWutHunyKPSPX179287WBXF+/k+vrX+1eW9dG5mvRWv8EGK//rJS6BDyitd6td1VCCCFEV8k+cyGEEKLP3fGR+Wpa68ObePiXu3UeO4RcX//azdcGcn39Tq6vf7V1bXd8zVwIIYQQnSXT7EIIIUSf69tgvhtLwSqlfk8p9ZpS6hWl1HeUUnt7fU6dpJT6Q6XUG7Vr/IZSarDX59RJSqmPK6VeV0oFSqldk1mrlHpCKXVOKXVBKfXbvT6fTlJK/a9KqdnduOVVKXVAKfU9pdRU7e/yn/f6nDpJKRVVSv29UurV2vV9vtfn1A1KKVMp9bJS6lvrPa4vg/kuLgX7h1rrB7XW7wC+Bfxuj8+n054FHtBaPwicB36nx+fTaWeAjwE/6PWJdIpSygT+HfBh4D7gP1VK3dfbs+qo/w14otcn0SUe8C+01ieB9wD/5S777CrAh7TWDwHvAJ5QSr2nt6fUFf8cmNroQX0ZzNmlpWC11tmmHxPsvuv7jtbaq/34I8IaA7uG1npKa32u1+fRYT8DXNBaX9RaV4E/BX65x+fUMVrrHwCLvT6PbtBaT2utX6r9c44wIOzr7Vl1jg7laz/atf/tqu9MpdR+4CPA/7LRY/sumO/2UrBKqS8opa4C/5jdNzJv9k+Av+r1SYgN7QOuNv18jV0UEO4WSqnDwDuB53t8Kh1Vm4J+BZgFntVa76rrA/4N4cA12OiBPd+a1kqnSsHuROtdm9b6L7XWnwU+q5T6HeCfAZ+7oye4TRtdX+0xnyWcAvyTO3lundDO9e0yqsXvdtXoZ7dTSiWB/wv4r1fN/vU9rbUPvKOWf/MNpdQDWutdkf+glPolYFZr/aJS6oMbPX5HBnOt9WOtfl8rBXsEeFUpBeE07UtKqQ1Lwe4Ua11bC/8e+DZ9Fsw3uj6l1KeAXwJ+XvfhvshNfH67xTXgQNPP9fLLog8opWzCQP4nWuv/u9fn0y1a62Wl1PcJ8x92RTAH3gt8VCn1D4EokFJKfU1r/YlWD+6raXat9U+01uNa68O1YjPXgIf7JZBvRCn1tqYfPwq80atz6Qal1BPAbwEf1VoXN3q82BF+DLxNKXVEKRUB/hHwzR6fk2iDCkc8XwGmtNZ/1Ovz6TSl1Fh9R4xSKgY8xi76ztRa/47Wen8t1v0j4K/XCuTQZ8H8LvD7SqkzSqnXCJcSdtVWEuDfAgPAs7Xtd/9Tr0+ok5RSv6KUugacAr6tlHqm1+e0XbWExX8GPEOYQPXnWuvXe3tWnaOU+j+A08AJpdQ1pdQ/7fU5ddB7gU8CH6r99/ZKbZS3W0wC36t9X/6YcM183e1bu5lUgBNCCCH6nIzMhRBCiD4nwVwIIYTocxLMhRBCiD4nwVwIIYTocxLMhRBCiD4nwVwIIYTocxLMhRBCiD4nwVwIsS6l1F8opV6s9Yz+dK/PRwhxOykaI4RYl1JqWGu9WCuZ+WPgH2itF3p9XkKIW3ZkoxUhxI7yXymlfqX2zweAtwESzIXYQSSYCyHWVGu9+BhwSmtdrHWmivbynIQQt5M1cyHEetLAUi2Q3wu8p9cnJIS4nQRzIcR6ngasWmeq3wN+1OPzEUK0IAlwQgghRJ+TkbkQQgjR5ySYCyGEEH1OgrkQQgjR5ySYCyGEEH1OgrkQQgjR5ySYCyGEEH1OgrkQQgjR5ySYCyGEEH3u/weJnKrGckxYiQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "plt.scatter(data_a, data_b, alpha=0.5)\n", "plt.xlabel(\"a\")\n", "plt.ylabel(\"b\")\n", "plt.xlim([-4, 4])\n", "plt.ylim([-4, 4])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Statistically, all that we care about is the probability distribution $P(a, b)$. No more. \n", "Statistics do not care whether $a$ causes $b$ or $b$ causes $a$ (or maybe both are caused by another parameter)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With Bayes' theorem we can construct both splits,\n", "\n", "$P(a,b) = P(a) P(b|a)$\n", "\n", "and \n", "\n", "$P(a,b) = P(b) P(a|b)$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see this by creating two different Bayesian networks\n", "\n", "### Split 1 - P(a) P(b|a)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "graph_1 = hal.Graph(\"graph_1\")\n", "with graph_1:\n", " hal.Variable(\"a\", mean=0, variance=1)\n", " hal.Variable(\"b\", mean=0.7 * a, variance=1-0.7**2)\n", "data_from_1_a, data_from_1_b = hal.get_generative_model(graph_1, data=hal.DataLinker(n_data=1000)).get_example(\n", " [graph_1.a, graph_1.b])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'graph_1/a': set(), 'graph_1/b': {'graph_1/a'}}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "graph_1.get_all_variable_dependencies()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1. , 0.71458369],\n", " [0.71458369, 1. ]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.corrcoef(data_from_1_a, data_from_1_b)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1.0330448348514882, 1.0330448348514882)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.var(data_from_1_a), np.var(data_from_1_a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Split 2 - P(b) P(a|b)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "graph_2 = hal.Graph(\"graph_2\")\n", "with graph_2:\n", " hal.Variable(\"b\", mean=0, variance=1)\n", " hal.Variable(\"a\", mean=0.7 * b, variance=1-0.7**2)\n", "data_from_2_a, data_from_2_b = hal.get_generative_model(graph_2, data=hal.DataLinker(n_data=1000)).get_example(\n", " [graph_2.a, graph_2.b])" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'graph_2/b': set(), 'graph_2/a': {'graph_2/b'}}" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "graph_2.get_all_variable_dependencies()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1. , 0.70663465],\n", " [0.70663465, 1. ]])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.corrcoef(data_from_2_a, data_from_2_b)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1.0153531618670686, 1.0153531618670686)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.var(data_from_2_a), np.var(data_from_2_a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scatter plot comparison" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'graph_2')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(16, 7.5))\n", "for ax, data in zip(axs, [[data_from_1_a, data_from_1_b], [data_from_2_a, data_from_2_b]]):\n", " data_a, data_b = data\n", " ax.scatter(data_a, data_b, alpha=0.5)\n", " ax.set_xlabel(\"a\")\n", " ax.set_ylabel(\"b\")\n", " ax.set_xlim([-4, 4])\n", " ax.set_ylim([-4, 4])\n", "axs[0].set_title(\"graph_1\")\n", "axs[1].set_title(\"graph_2\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see, that both splits produce equal distribution patterns. So the statistics they describe are equivalent." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## If both splits are equal, whats the difference?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Statistically there is no difference. There is only a difference if we interpret the split to be along causal directions.\n", "\n", "Split 1: a causes b\n", "\n", "Split 2: b causes a\n", "\n", "Once we decide for this interpretation and use the \"DO\" operation to model interventions we get a difference." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The DO operation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The DO operation cuts all incoming arrows to a parameter." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function do_operation in module halerium.core.causal_calculus.do:\n", "\n", "do_operation(scopetor, variables, inplace=False, strict=True)\n", " Perform Do operation of variable(s) in scopetor.\n", " \n", " Do operations are required to accurately model interventions.\n", " \n", " The Do operation cuts all dependencies the variables have\n", " by setting all of the distribution parameters to None.\n", " This way values that are fed to the variable as data\n", " can only propagate forwards in the dependency structure.\n", " \n", " Parameters\n", " ----------\n", " scopetor : Scopetor (Graph, Entity, Variable)\n", " The scopetor in which the Do operation is applied.\n", " Must be a top-level scopetor, i.e. a scopetor without\n", " a parent scope.\n", " variables : VariableBase, str or iterable\n", " The variable(s) to which the Do operation is applied.\n", " If the variable(s) are not scopees in scopetor,\n", " their equivalents in scopetor will be located and the\n", " do operation will be applied to the equivalents instead.\n", " inplace : bool, optional\n", " Whether or not to modify scopetor (True) or to leave\n", " scopetor unchanged and return a modified copy (False).\n", " The default is False.\n", " strict : bool, optional\n", " Only has an effect if inplace=False.\n", " If True the scopetor has to be self-contained.\n", " If False not self-contained parts are left out and will be\n", " set to None in the copied instance.\n", " The default is True.\n", " \n", " Returns\n", " -------\n", " modified_scopetor : Scopetor\n", " The modified scopetor.\n", "\n" ] } ], "source": [ "help(hal.do_operation)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Applied to graph_1, $P(a)P(b|a)$, the do operation only has an effect if it is applied for the variable b." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'graph_1/a': set(), 'graph_1/b': {'graph_1/a'}}" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "graph_1.get_all_variable_dependencies()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'graph_1/a': set(), 'graph_1/b': {'graph_1/a'}}" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hal.do_operation(graph_1, graph_1.a).get_all_variable_dependencies()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'graph_1/a': set(), 'graph_1/b': set()}" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hal.do_operation(graph_1, graph_1.b).get_all_variable_dependencies()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Applied to graph_2, $P(a)P(b|a)$, the do operation only has an effect if it is applied for the variable a." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'graph_2/b': set(), 'graph_2/a': {'graph_2/b'}}" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "graph_2.get_all_variable_dependencies()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'graph_2/b': set(), 'graph_2/a': set()}" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hal.do_operation(graph_2, graph_2.a).get_all_variable_dependencies()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'graph_2/b': set(), 'graph_2/a': {'graph_2/b'}}" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hal.do_operation(graph_2, graph_2.b).get_all_variable_dependencies()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## the difference between observation and intervention" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Observation:\n", "You condition a statistical model ($P(a,b)$ is a statistical model) to an observation by constructing\n", "\n", "$P(unknown | observed)$.\n", "\n", "Say you observe $a=1$. Then you are asking the question:\n", "\n", "$P(b | a=1)$\n", "\n", "\"How does my state of information about $b$ change if I observe $a=1$?\"\n", "\n", "\n", "### Intervention:\n", "You change your causal model ($P(a= P(b|a)$ can be interpreted as a causal model) to an intervention by constructing\n", "\n", "$P(unknown | DO \\ intervention)$.\n", "\n", "Say you do $a=1$ (you set it to 1). Then you are asking the question:\n", "\n", "$P(b | DO \\ a=1)$\n", "\n", "\"What will happen to $b$ if I set $a=1$\"?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Minimal example\n", "\n", "Let's see the effect on our two graphs" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "a_given = 1." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graph 1\n", "#### Observation:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.69995633])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g = graph_1\n", "hal.Predictor(g, data={g.a: [a_given]})(g.b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Intervention:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.7])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g = hal.do_operation(graph_1, graph_1.a)\n", "hal.Predictor(g, data={g.a: [a_given]})(g.b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For graph 1 there is no difference between intervention and observation because $a$ is at the beginning of the causal chain." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graph 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Observation:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.7])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g = graph_2\n", "hal.Predictor(g, data={g.a: [a_given]})(g.b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Intervention:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([5.55111512e-18])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g = hal.do_operation(graph_2, graph_2.a)\n", "hal.Predictor(g, data={g.a: [a_given]})(g.b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For graph 2 there is a fundamental difference between DO $a=1$ and observe $a=1$, because $a$ is caused by $b$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Information from an observation travels backwards along causal directions. Information from an intervention only travels forwards." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### the ``InterventionPredictor`` objective" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The operational chain\n", "```\n", "g = hal.do_operation(graph_2, graph_2.a)\n", "hal.Predictor(g, data={g.a: [a_given]})(g.b)\n", "```\n", "is conveniently accessible with the ``InterventionPredictor`` objective." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hal.InterventionPredictor(graph_2,\n", " interventions={graph_2.a: [a_given]})(g.b)" ] } ], "metadata": { "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 4 }