{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.stats as stats" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import pymc3 as pm" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "import warnings\n", "warnings.simplefilter('ignore', FutureWarning)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Gaussian process models\n", "\n", "Suppose we want to model some observed data with noise $\\epsilon$ as samples from a normal distribution\n", "\n", "$$\n", " y \\sim \\mathcal{N}(\\mu = f(x), \\sigma=\\epsilon)\n", "$$\n", "\n", "For example, if $f(x) = ax + b$, we have simple linear regression. \n", "\n", "Gaussian process models let us put a prior over $f$\n", "\n", "$$\n", "f(x) \\sim \\mathcal{GP}(\\mu_x, K(x, x^T, h))\n", "$$\n", "\n", "where $\\mu_x$ is the mean function and $K(x, x^T)$ is the covariance or kernel function and $h$ is a bandwidth parameter that determines the amount of smoothing.\n", "\n", "This results in a very flexible modeling framework, since we can in principal model arbitrary curves and surfaces, so long as the noise can be approximated by a Gaussian. In fact, the classical linear and generalized models can be considered special cases of the Gaussian process model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generative model" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "def gauss_kernel(x, knots, h):\n", " return np.array([np.exp(-(x-k)**2/(2*h**2)) for k in knots])" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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mNiVs4pZet7C031J8HX0NcVqlHeLy49h+bjvfn/uejLIM7CztGNdjHFMDpjLCZ0SXLWDSgoeD76F7uGEWXGxcmB40nelB0ymqLGJnyk62Jm/l7aNv887RdxjqPZRZwbOYHDC5y/4/VfRPJVhd0MsHXya5KJm3x7/NhJ4Tmtwn0DmQwspCCisK1eRsxSzE5sUCtCjB8rDzYHLPyXyb+C2PDHoEeyt7Q4fXZplFFby2I44bQz2YM9APACuNBXcO78k7uxM4n1dGgLtDM60obdCiZRD0vQSCv5M/z9/wPPf3u5/PTn/G5oTNfJPwDbN7zea+fvfRw6lH840oBpNRmsG2c9vYlryNxMJENELDKN9RPDr4USb0mGDWf0uU5rnYuHB779u5vfftpJaksjV5K1uTtvLcgef4Z/Q/mdNrDgvCFxDgHGDqUJUOrmv0ZysNUktS2ZO6h4XhC6+ZXIEuwQLUPCzFbMTmxdLNphs+Di1ba/mOPndQUl3CtnPbDBxZ+zy/5TTVtVpentP3sp7ku0b0xEIIvoy6YMLoFCnlJ1LKoVLKoZ6e+itQ4evoyzMjn2H7rduZFzaPLUlbmPXNLP76y19JLkzW23mU5lXXVvPj+R958McHmbppKm8ffRsnayf+NuJv7L59Nx9M+oCZwTNVctXJ9HDqwR8G/IGtt2xl7Yy1TAmYwsb4jcz6ZhaP7HqE6IxojDiyUelkVA9WF/PlmS/RCA3ze8+/7n71T2/OF59noNdAY4SmKNcVmxdLhHtEiycmD/IaRJhrGF+d/Yp5ofPMckLzzphMdsZk8dS0Plf1UnV3tmVqZHfWH07liclh2Fqp6ld6ZhbLIHg7ePO3kX9jab+lrIpZxcb4jWxN3srEnhNZ2n8pke6Rxg6py0gpSmFzwma+TfqW/Ip8utt35/cDfs/skNn4O/mbOjzFSIQQDPAcwADPATw+5HHWx61nQ9wG7vvhPnq79mZhxEJmBM0wm4WelY5B9WB1IaVVpXyT+A1TAqc0W8HKz8kPS2GpCl0oZqGytpKkwqQWDQ+sJ4Tgzj53El8Qz7HsYwaMrm1KKqp5/tsY+ng7sfTGoCb3WTgygMJL1Ww72aWr8xvKFuAeoTMSEy+D0N2hO08Nf4qd83Zyf//7icqI4o6td/Dgjw9yJOuIqcLqdCpqKvgu6TuW7FjCrP/O4ovYLxjoOZD3J77Pzrk7WTZwmUquujAPOw+WDVzGD/N+4MVRL1Ira3n212eZvHEyH574kOKq4uYbURRUD1aX8m3St5RVl7EwfGGz+1pZWOHv5K+GCCpmIT4/nhpZQ7hbeKuOmxE0gzcPv8lXZ79icPfBBoqubf61M46skgo+unsIVpqmn3XdEOxOiKcDaw6eZ+4Q9aGvNTrqMghutm48MugRFkcuZn3cetbErmHxjsUM9hrM0n5LGeM3xix7Y81dQkECmxI2sSVpCyVVJfg7+vPY4MeYHTJbrU2mXMVGY8Mtobcwp9ccojKjWBO7hg+Of6C7HiMXsyB8wVVrMCpKYyrB6iJqtbWsO7OOgZ4D6efZr0XHBDgHqARLMQtn8s8ALStw0Zi9lT2ze83mq7NfkXMpx2w+SB29UMAXB8+z6IZABva4dhEZIQR3jwzghe9iOZVWRD9/FyNG2bF19GUQnKydWNpvKQvCF7A5YTOrYlbx0K6HCHEJ4a7wu9ScoBa4VH2JnSk72ZiwkZM5J7GysGJiz4nMDZvLcO/hXaasutJ2QoiGRY3P5p/l/ePv8+6xd1kbu5Z7+97L/D7zL1viRlHqqb8uXcS+tH2klqSyIGJBi48JcA7gQvEFtFJrwMgUpXmxebE4Wzvj5+jX6mPv6HMHNbKGjQkbDRBZ61XXavnLplN4O9uyfGrvZve/dYg/dlYa1hxMMXxwitmxs7RjQfgCtt+ynX+M+QfWGmteOvgSkzZO4s3Db3Kx9KKpQzQ7Z/LO8PLBl5n49USeO/AcxZXFLB+6nF237eL1sa8z0mekSq6UVuvj1od3J7zLlzO+JNw9nDeOvMGMzTNYd2YdVbVVpg5PMTOqB6uLWHtmLd4O3kzqOanFxwQ4B1BZW0lWWRY+ji2r3KYohtDaAheNBTgHMMp3FBvjNrK031KsLKwMEGHLrdx/jrisEj65ewiONs3/CXa2tWLOID82H03jbzMicLE3bfyKaVhprLg55GZmBc/ieM5x1sau5YvYL1gdu5oJPSawIHwBQ7oP6bLDB/PK89iRsoMtSVuIzYvFRmPDlIApzA2by2CvwV32v4uif/08+/Hx5I85knWEd4+9yyvRr7AqZhUP9H+AW3rdgqWF+mitqB6sLiEuP47ozGju7HNnqy78IBfdxHs1TFAxparaKhIKE1o9PLCxO3rfQXZ5Nnsu7NFjZG2z+WgaI4PdmBLp3eJjFo7sSWWNlq+PpDa/s9KpCSEY5DWIN8a9wY65O1gSuYRDWYdYsnMJt313G1+e+ZL8inxTh2kUFTUV7Di3g2W7ljHx64m8Ev0KWqnl6eFPs+u2Xfzfjf/XpZNOxbCGdB/C51M/55PJn+Bl78WLv73Ibd/dRnRGtKlDU8yASrC6gHVn1mFnacfc0LmtOq5xqXZFMZWEggRqtDXtSrBu8r8JXwdfvor7So+Rtd6lqhoSs0sZHuTequMifV0YEuDKuqgLaLVqXRZFx9vBm8eHPM6P837khRteQAjBP6P/yYQNE1i2axnfn/ue8ppyU4epV1qp5VDmIZ779TnGbxjPn/b9ibP5Z7kn8h4237yZr2d9zYLwBbjYqPmKiuEJIbjB9wbWTl/Lv8f9m/Kacu774T6e/PlJNXy3i1P9mJ1cXnke25K3MafXnFbfcDztPLGztFM9WIpJxeTFAK0vcNGYxkLD7b1v562jb5FQkECoa6i+wmuV2IvFaCX082v9h7+7Rwbw+Prj/JqUy42h5lGsQzEPdpZ2zA2by9ywucQXxLMteRvbkrexL20f9pb2TAqYxMzgmQz3Ho7GouOtp1ZZW0l0RjR70/ayN20vmWWZ2FvaMzlgMrNCZjG0+9AO+XspnYcQgkkBkxjjN4ZVMatYeWol+9L2cW/fe1nSd4kqhNEFqQSrk/s6/muqtFUsCG95cYt6QggCnQNVgqWYVH2BC3/H9pUpvzX0Vj44/gHr49bzzMhn9BRd65xMKwKgfxuqAU7v581LW61Z89t5lWAp1xTmGkbYkDAeG/wYR7KOsDV5Kz+k/MCWpC142XkxtsdYRviMYIT3CLrZXruCpalllWWxL30f+1L3EZUZRXlNOXaWdozwGcETg59gfM/x6kOrYnZsLW15cMCDzA6ZzZtH3uTDEx/y38T/8sehf2RKwBQ1XLULUQlWJ1ZdW836uPWM9htNcLfgNrUR6BzIqdxTeo5MUVouNi+WcPfwdt+YXG1dmRY0jS1JW3h88OM4WjvqKcKWO51ehKeTDd2dbVt9rI2lhvnDevDR3iQuFpbj2019uFSuzUJYMMx7GMO8h/GX4X9hX9o+tp/bzvZz2/k6/msEgj5ufRjpO5KR3iMZ1H2QSROW3PJcYvNiOZ59nF/Sf+Fs/lkA/Bz9mNNrDmP9xzLUeyg2GhuTxagoLeXj6MPrY19nfu/5vBL9Csv3Lmdo96E8O/LZNn8eUzoWlWB1YjtSdpBbnsvL4S+3uY0AlwB2nt9JVW0V1hprPUanKM2rL3Bxd/jdemlvfu/5bEnawo6UHcwLm6eXNlvjVHoR/dswPLDeXSN68uHeJP4TfYE/Tmm+xLuigO6p+pTAKUwJnEKNtobTuac5mHGQgxkHWRO7hs9Pf46VhRWDvAbR16MvQS5BBDoHEuQSZJC5THnlecTmxRKTF9PwPftSNgAaoWGg10CeGPIEY/3HEuwSrJ76Kx3WUO+hrJ+5nk0Jm3jn2DvM+24eDw54kCV9l5i8oq1iWCrBMoWidHD2BQPeNKSUrIldQ5BLEKN8R7W5nQDnALRSS2pJKiHdQvQYoaI0L7Ewsd0FLhrr59GPIJcgtiRtMXqCVVZZQ2JOKTP6tX3JA39Xeyb28eI/0ak8PikMjYX64Km0jqWFJQO9BjLQayAPDniQS9WXOJp9lIMXDxKVGcUXsV9Qo61p2N/VxpVAl0ACnQMJdAnEy94LW40t1hrrhu82GhtsLG2w0dig1WrJq8gjrzxP973u5/yKfPLK80gvTSfrUlZD+4HOgQztPpQI9wgi3SMJdw/HwcrBFP9pFMUg6ucAT+w5kX9G/5N3j73LzpSdvDj6RSLdI00dnmIgKsEytrwkeH84zP4ABsw32GmOZR/jTP4Znh35bLue/gU6BwK6Uu0qwVKMLTYvFmhfgYvGhBDMDpnNW0ff4nzx+YZKmcYQm1GMlG2bf9XYtL4+/HQmm+ScUkK7O+kpOqWrsreyZ4zfGMb4jQGgRltDemk6KUUpnCs6R0qx7vvetL18k/hNm87hYuOCu607brZuDOk+hAj3CCLcI+jj1gcna/VvWOka3O3c+dfYfzE9aDr/OPgP7tp2F4siF/HQgIewtWz9sHHFvKkEy9jivgdtDcTvMGiCtfbMWpytnZkZPLNd7ahS7YopxebF4mTlRA+nHnprc2bwTN459g7fJn7Lo4Mf1Vu7zakvcNGWCoKNRfo6AxBzsVglWIreWVpYEuAcQIBzAGN7jL1sW1FlEfkV+VTVVlFZW3nZV/17AoG7nXtDQuVm64aVRg2FUpR6E3tOZJj3MN48/Cafn/6c3Rd288INLzDUe6ipQ1P0SCVYxpawU/f93F7QasFC/0uRXSy9yK4Lu1gcuRh7K/t2teVk7YS7rbtKsBST0FeBi8a6O3TnBp8b+C75Ox4e9DAWwjjLAZ5OL6K7sw1ebShw0VgvL0esLS2IuVjEnEF+eopOUZrnYuOi1pdSFD1wtnbmhVEvMC1oGi8ceIElO5cwv/d8kxVgUvRPLTRsTBXFcP4AdOsJl/Ig67RBTvPV2a8QCO7sc6de2gtwDiClKEUvbSlmrKIIsmJAmsdCttW11cQXxOtteGBjs3vNJrMsk+jMaL23fS2n0ova3XsFYKWxoI+3EzEXi/UQlaIoimIqI31GsvnmzdwdcTcb4jYw77t5HM8+buqwFD1QCZYxJe3WDQ+c9ILudfLPBjnNTxd+YrTfaLwdvPXSXqCLWgur06kognP74Ne34esl8M4geKUnfDgKEneZOjpAV+CiWlttkARrfI/xOFk5sSVxi97bbkppZQ1JOaX01UOCBbphgjEXi5FmkgwriqIobWNvZc+fh/2Z1dNXA7BoxyI+OP7BZcVmlI5HLwmWEOIzIUS2EMIwXTKtUFOrpaZWa+owmpbwA9h2g/DZ4NlHN0xQzy6WXiS1JJUbfG7QW5uBzoHkV+RTXKWemHdoFw5enkytngU/Pgdph8ArAiY8A9ZOcPY7U0cK6L/ARWO2lrZMDZrKTxd+oqy6TO/tXyn2on4KXNSL8HWhqLya9MJyvbSnKEoHcmojVBn+75ZiXIO8BvH1rK/5XdDv+PDEhyzasYjU4lRTh6W0kb56sFYB0/TUVrvc9WkUj31lht2rWq0uweo1CTSWEDRWN1ywplKvp4nKiAJguM9wvbVZX+jiQvEFvbWpgBBimhAiTgiRKIR4uonti4UQOUKI43VfS9t1wkt5jZKpZ2HhJvhTEjxxGu5YBzf9CULGQ/xOsxgmGJsXi6OVo14LXDQ2O2Q25TXl/JDyg0Hab+xkWiGAXnuwADVMUFG6mr2vw6b7IOojU0eiGICTtRP/d+P/8fpNr3Ou8BzzvpvHfxP/q0YrdEB6SbCklPuAfH201R5nM4uJTsln26kMzuWa2dOdi8egLAfCpupeB4+D6ku6D7x6FJUZhZutG6HdQvXWZuNS7Yp+CCE0wPvAdCACuFMI0VRXzXop5cC6rxXtOmnvGY2SqeW6ZN/B44p9pkNJBmSY/iFFbF4sfdz6GKwIxQDPAQQ4B/Bt0rcGab+x0+lFeDvb4uWkn1K84d7OWAiVYF2P0R9gKIohSQm7XoQ9L0P/O2DUY6aOSDGgaUHT2HTzJiLcI3j212dZvnc5RZVFpg5LaQWjzcESQjwghDgshDick5NjkHNsOpKGpYXAWmPBql/PGeQcbRa/A4SF7kMtQOBoEBrxwMNBAAAgAElEQVS9zsOSUhKdEc0I7xF6rbrm7+SPhbBQhS70aziQKKVMllJWAV8Bsw16xpb8mwidAghdL5YJVWsNV+CiXv2aWEeyjpBaYthhGKfSi/TWewVgZ60h2NOR2IvqhtsUkzzAUBRDkRJ2/hV+eQOGLIY5H+pGwiidmo+jDyumrODxwY+z+8Jubt1yK4cy9ftQXjEcoyVYUspPpJRDpZRDPT099d5+da2Wb45dZGK4F7MG+PL1kTSKyqv1fp42S9gJ/sPB3k332tYF/IboNcE6V3SOnPIcvQ4PBLDWWOPr4KtKteuXH9D4U31a3XtXmiuEOCmE2CiEuOZYOb09wHDwAP9huvXaTCi5MJkqbZVBEyyAWSGzEAi+SzLcvLPSyhqSc8sa5l9FZUQ1DOVtj/pCF0qTjP8AQ1EMQauFbU/CwQ9gxIMw8y2DLO+imCeNhYb7+t3Hut+tw97SnqU/LOWTk5+glWZaa0Bp0Gmu0n3xOeSWVjJvSA+WjA7kUlUtGw6ZyeTA4gzIOPG/4YH1gsdB+hFdRTc9iMrUfWgb4TNCL+01FugSqBIs4/sOCJRS9gd+BFZfa0e9PsDoPU03RLA4o33ttIMhC1w05u3gzQifEWxJ2mKwG1ZMehFSQqSvI28ffZulPyzlgR8f4JuEb9rVbqSvMxlFFeSV6nceZyeh1wcYimIS2lr4dhkc/gzGPAHTXmnZSASl04lwj2D9zPVMC5zGu8feZdmuZRRWFJo6LOU6Ok2CtfFIGu4O1ozr7UlfPxdGBLmx6kCKeVQUTKibRN9UgiW1kLJfL6eJyojC18EXf0d/vbTXWKCzrlS7mmipN+lA4w90/nXvNZBS5kkp6z89rwCGtPekWm0L/v+FTdd9TzDdMMGYvBgcrBwaCqwY0uxes0kvTedI1hGDtH8qvQihKWVNyjOsOLWCuaFzGekzkucOPMea2DVtbjfSV9cjpnqx2qxFDzCMMbxdUa5SWw2blsKJL2H832Di82aTXDVXOVrovFM3//GkEGKwsWPsjOyt7Hnlxld4duSzRGVEcdvW29SaWWZMX2Xa/wP8BvQWQqQJIe7TR7stVVBWxU9nspgzyA8rje5XundMEOmF5fwYm2XMUJoWvxNceuiqtzXmPwys7CG5/eXaa7W1RGdGM8JHv/Ov6gU4B1BeU072pWy9t91FHQJChRBBQghr4A7gskWZhBA+jV7eDJxpzwl/is1i4pt7KbxUdf0dvcLBpSfE7WjP6drlTN4Zgxa4aGxiz4k4WDnwbaJhil38mnoUp+D3OJV7nBdHvcgLo17g3QnvMjlgMq8deo0Pj3/YpgcXqpLgdentAYahh7crylVqKmHDIojZDJNfgrF/Npvkqs4qrl85ejoQWvf1APChEWLqEoQQ3N77dtbOWItGaFiyYwlrYteoh99mSF9VBO+UUvpIKa2klP5SypX6aLeltpy4SHWtZN6Q//XcTArvTg83Oz4zdbGL6grdPKvQKVf/gbS0hoBRepmHdbbgLCVVJQYZHgj/K9Wuhgnqh5SyBngY2IkucdogpYwRQrwohLi5brdHhRAxQogTwKPA4vac09/NjvN5ZbyzK/H6OwqhGyaY/DNUG3+dpRptDXEFcQYfHljPztKOqYFT+eH8D1yqvqS3dqWUbIjbwOGql7G2tGTNjDXcEnoLoJvX+NpNrzE7ZDYfnPiA1w691uobZDd7a/y62RGjCl00xegPMBRFL6ouwVd3Qdw2mP46jH7U1BFdpQWVo2cDX0idg0C3K643pZ0i3CPYMGsDN/nfxGuHXuPJn5+kpKrE1GEpjXSKIYIbj6QR6etMuI9zw3saC8HiUUEcSiloWIPGJM7vh+oyCLvGw57gcZAbB8UX23WahvWvvPVb4KJekEsQoEq165OUcruUMkxKGSKl/Efde89JKbfU/fwXKWWklHKAlHK8lPJse87Xx9uZ+cN68MVvKSTnlF61Pb00nWmbprHrwi7dv9eacji3rz2nbJOkwiQqayuNlmAB3BxyM+U15fx04Se9tFdeU84zvz7DSwdfoqasF/N937jq97G0sOTF0S+yIHwBa8+s5fkDz1OrrW3VeSJ9nYlVPVhXMcUDDEVpt4piWDsXEnfBze/CiAdMHVFbtXQOpBqC2w7O1s68Nf4tlg9dzs+pP3P7d7dzJk89JzIXZpdgSSlbNdn8bGYxp9KLLuu9qnf7UH8cbSz5/NcUPUbYSvE/gKUdBN3Y9Pbgcbrv7RwmGJ0RTYhLCJ72hhnC4mXvha3GVvVgdXBPTu6NrZWG/9t+da52NOso6aXpLP95OXssa8Ha0STVBI1V4KKxwV6D8Xf0Z0viluZ3bkZqcSoLty/ku6TvmNVzMeWpixjas+l5kRbCgqeGPcWDAx7km8Rv+NO+P1Fd2/Lqp5G+LpzLK6OssqbdcXc2xn6AoSjtUpYHq2dBWjTMWwmD7zF1REahhuC2jxCCRZGL+Hza51Rrq7n7+7sNWhVXaTmzSrAull5kzrdzdE/QW2jTkTSsNILZA69+OOJka8VtQ/3ZevIiWcUV+gy1ZaTUrX8VPBas7JrexysS7D3aNUywuraao9lH9V6evTELYUFP554qwergPJ1seGh8CD+dyeJAYu5l25KLkrG0sKSPWx+e/OUp9gUO0c0fNPLY7ti8WOws7QhwMnyBi3pCCGb3mk1UZhQXS9vem5xfkc+iHYvILMvk/YnvE6S5BbCg33XWwBJCsGzgMpYPXc6P53/kkT2PUF7TsqGZkb7OSAlnMlQvlqJ0WMUX4fPpkHMW7vgS+s41dUTt1ewcSEW/BnoNZMOsDfT37M9f9/+V1w69Ro1WPXgzJbNKsLrbd6e8ppz1Z9e3aP/6ta8m9PHCzcG6yX0WjwqkRitZe9AEiUFuPBSer1u89RosLHQJWPLPbf4geyLnBOU15Qabf1UvwDlADRHsBO4dHYRfNzte2naG2kZVBZMKkwh0DuTjKR8T5hrG4zUX2F+TD5knjRpfbH4s4W7haCw0Rj3vrJBZAG1++iel5Nlfn6WosojPpn7Gjf43ciq9CF8XWzwcbZo9flHkIv4+6u/8dvE3Ht39aIvmZEX6qUIXitKh5Z+Dz6ZBcTos3HR1teGOaQtwT101wZFAkZTSdOt+dBFutm58PPljFoQvYE3sGh788UEKKgpMHVaXZVYJlsZCw21htxGVGUVyUXKz+zde++paAtwdmBTenXVRF6iobt38hnaLr6vC1twfzOBxUJoJOXFtOk10ZjQWwoJh3sPadHxLBToHklaSRrXWjBZwVlrN1krD09P7cCajmI1H/jdMPrkomWCXYJytnflk8ieEOAfxmJcnB45/brTYarQ1xOfHG3V4YD0/Rz+Gew9nS9KWNlVk+vLsl+xL28eTQ5+kt1tvQFeive91eq+udGvorTw9/GkOZhxs0Xwwb2db3BysVaELRemIss/okqvKYli0BQLHmDqiFmmqcrQQ4kEhxIN1u2wHkoFE4FPgIROF2uVYWVjx9PCneWn0SxzLPsad2+4kLr9tny2V9jGrBAvgltBbsLSw5Ou4r5vdt/HaV9dz7+gg8suq+Pa4kXuo43+A7n3BpZl1qYLH6b6fa9k8rI/3JrHjdGbD66iMKMLdwnG2dr7OUe0X6BJIrawlvUT19Hd0M/v7MCTAldd3xlNaWUNlbSWpJamEdAsBwMXGhU+nfU6gsOLRrF0czDholLjOFZ2jorbCJAkW6NbEulBygZ9Tf27VcXH5cbx5+E1u8r+Ju/rcBUBxRTXncsvo79/yBAvgtrDbCHEJ4e2jbzf7MEMIQaSvs+rBUpSOJv2IblggwJLvwa/dyxwaTVOVo6WUH0kpP6rbLqWUy+rmP/aTUh42dcxdzZxec1g9fTXV2moWbl/I9+eMP5+6qzO7BMvDzoPJAZP5NvHb65ZMbmrtq2sZGexGuI8zn+034kK55QVw4beWdfd36wmuQS2ah3WpqoZ//RDXMOTxUvUlTuacNPjwQFCl2jsTIQTPzowgt7SSD39OJKUoBa3UEtwtuGGfbrbd+DRgLj2qq3hk18Mcyjxk8LhMUeCisckBk+nVrRd/2vcnDqQfaNExFTUVPLXvKZxtnHlp9EsN69DFpOuSntb0YIGuuuDjQx7nfPF5Nsdvbnb/CF9n4rNKqKoxg0XVFUVpXsp+WD0bbJzh3h26tQcVRc/6evRl/cz1RLhH8Od9f+bNw2+2ulKt0nZml2AB3NH7DkqqS66bcTe19tW1CCG4d3QgcVklHEjK02eo15a0G2QthLZwPHXwODj3C9Ref1Ji9Ll8qmslSXVlto9mH6VG1jDC2/AJVqBzIKBKtXcWA3t0Y85AXz795RyH0nWJTYhLyGX7uIXPYUVGNn6WjizbtYwjWUcMGlN9gYv6f2vGZmdpx2dTPyPIJYiHdz/MvrTmy9T/6/C/SCpK4h+j/4GbrVvD+6fSdctDXK/AxbWM9R/LYK/BfHjiw2bX5or0daG6VpKQrdZAURSzd3a7rhS7i58uuXILMnVESifmYefBiikrmN97Pp/HfM5Dux6iuEqNeDAGs0ywBnkNItQ1lPVx66/Z49TU2lfXM2uALx6O1ny230gLD8fvBDs38B/asv2Dx0FVCVw8et3d9ifoKr9lFFVwqaqGqIworCysGNR9UPvibQEXGxdcbVxVgtWJ/HlaHwTw1fHDaISmoZeyQfdI3J38WKH1xNvBmz/89AfiC+INFs/Z/LP0du1t9AIXjbnaurJiygpCXUN5bM9j161quvvCbtbHrWdRxCJG+Y26bNup9GL8utnh3oICF1cSQvDk0CfJq8hjdezq6+4b6VtX6CJd3TQVxawd/gzWLwCvCFi8HZx9TR2R0gVYaax4ZuQzvHDDC0RnRrNg2wIuFF8wdVidnlkmWEII7uh9B2fyz3Aq99RV26+39tW12FppWDAigF1nszmXW6bPcK+mrYWEHyF0MrT0g2LQTYBodpjg/sRcrDS6IUjJOWVEZUQxwHMAdpbXKAOvZwHOAWqIYCfi282OB24KJrEwCS87P6w1V1TjFALCpuFxbj8rxr9HdW01O87tMEgsWqklriCuoUCEKbnYuPDplE+JcI9g+c/L2Zmy86p9ssqyeO7Ac4S7hfPY4Meu2n4qrbBNvVf1BngOYHLAZFadXkVe+bV73oPcHbC31qhCF4pirqSE3S/D1ieg1yRYvBUc3E0dldLFzA2byyeTP6GwspA7t91JdEa0qUPq1MwywQL4XfDvsLe0Z33c1SXbr7f21fUsGNkTa40Fn/9q4F6stMNQnt+6cqv2buAz4LoJVk5JJWczS5jRzweA05kZnM0/a9D1r64U4BzA+SKVYHUmD44Nwdouh+Ji96Z7jHtPg+pLeGWdJdQ1lNO5pw0SR3ppOmXVZWaRYAE4Wzvz8aSP6e/Znz/v+zNbk7c2bKvV1vK3/X+jqraKV296FSuN1WXHFldUk5J3iX6tLHBxpUcGPUJlbSUfnfjomvtYWAjCfVShC0UxS7XV8O0y2Pe6bvHgO/4D1g6mjkrpooZ5D+PLGV/iYefB73/8PRvjN5o6pE7LbBMsBysHZoXMYse5HZfV8W/J2lfX4uVky7S+3nx34iJarQGLXSTsBKGBkImtOy54HKRGQ1XTPWy/1i0Mu2BEAELAb+nRSCQjfUa2L95WCHQJJLs8m7JqA/cCKkZjZakFq1zyC1357mQTS5UEjAErB4j/nr4efTmddxqt1H9Bhfh83dDD3q7mkWABOFo78uGkDxnSfQh//eWv/DfxvwCsillFVGYUTw9/miCXq+dQnE7X9Sa1tsDFlYJcgpgbOpeN8Ruv23Pc19eZMxnFhv27pihK61SWwJfz4fg6GPcXmPUOaCxNHZXSxfVw7sHaGWsZ4TOCv//2d16NflUVvzAAs0qwqmq0zHp3P49/dYz39yTSw3IiVdoqNid807BPS9a+up7xfTwpuFRt2Ke98Tuh5w1g1611xwWPA201nP+tyc37E3NxsbNiSIAr/q52nC06ip2lHX3d+7Y75JaqLz6ghgl2HueLzyPR4msfwKvfn2X1gZTLvw5lct51BGWntlFS5ENJVYlBxm+fLTiLhbAg1DVU7223h72VPe9PfJ8RPiN49tdn+dehf/HesfeYEjCFW3rd0uQxp9J0CVZ7hgjW+8PAP2ClseLdY+9ec59IXxfKqmpJyVMPPhTFLJRkwarf6Ual3PwujHtaN+RaUcyAk7UT7018jwXhC1h7Zi0P736Y0qpSU4fVqZhVglVcUY27ozWHUgp4fWccz2/Mp6YsiH9HrWb623t5/Ktj/Pun+BatfXUto3t5APBLYo4+Q/+fojTIOg1hU1p/bM+RoLGB5D1XbZJSsj8hl9G93NFYCII9HMmuPs2Q7kOuGp5kSKpUe+eTVJQEwCNjxpBXVsnzW2Ku+novvRcOlVkcO6jr4Xrxxx3klFTqNY64/Dh6OvU02nzC1rCztOO9ie8xxm8Mq2NX42HvwXM3PNdQkv1Kp9KL8Otm1+pe9qZ42HmwKHIRO1N2XnN4ZkR9oQs1TFBRTC83AVZO0n2/8z+6oYGKYmYsLSx5evjTPDvyWX67+Bt3f383aSVppg6r0zCrvmoPRxtWLdHNJyqtrCEhq4T/xhewOf1VbJwSiT4XyMWiCpaND2l27atr8XKypY+3E/sTcnloXC99hq8TXzcZPmxa64+1soOeIyD56gWHk3LKyCyuYEwvXWLp417J0cIshnsvaE+0rdbDqQcCoSoJdiLJhclYCAt+F96fac9YUtnEekqibADyg0/5zzDJ5FwbDqQd46bXAlkyOpDf3xSCi337k/z4gnj6efRrdzuGYqOx4e3xb7Pi1ArG9xiPi821e6dOpRe1eoHh61kcuZgNcRt488ibrJyy8qrELqy7E1YaQczFYmYNUJXJFMVkLhyE/9wJwkJXzKIDLSCsdE23976dns49efLnJ7lr2128M+EdBnoNNHVYHZ5Z9WA15mhjyaCerjwzfj7utu70CDjOgb9M5MyL01g+pX1zNMb08uBwSgHlVQYYcxq/Q7dosEdY244PHgdZp6D08h62/Qm612PqeuCwTQSgl5Phy7M3Zmtpi4+Dj+rB6kSSCpPwd/TH1tIWBxtL3Bysr/py9fJH+A3B8+JeBnbvS9+gYiZFdOeDn5MY89pu3t2VQGnl9ddwu57iqmLSS9PNpsDFtVhrrHlo4EOEu197YdCiS9Wcz7vU7vlXjTlYOfD7/r/nUOYhfkn/5eq4LC0I9XJSlQQVxZSOrIJVM3XTA+77QSVXSocx0mckX874EidrJ+7beZ/BqgV3JWabYNWz0lhxa+it7E3bS3ppOnbWmmsOy2mpG8M8qarVEp2Sr6co61SV6Xqfwqa1fax18Djd93OX92LtT8ylp5s9Pd3tAcjXxiJr7JGVxn9aHegSSEpRitHPqxhGUmESId1Cmt+x9zRIP0I/52DOFcfz5u19+f6xGxkR5M4bP8Zz02t7WPFLMpU1rX9wUV/gIsy1jQ8mzMjpuiRHnz1YALeF3UYPpx68dfStJickR/o6E3ux+JprByqKYiC11bBtOXz3GATdCPfvBvcW/E1VFDMS6BLI2hlrifSI5E/7/sSKUyvU/aQdzD7BAt0HCyGE3spJDg90w1pj0dArpDfJe6G2UvdBtK18BuoWKI7/37o71bVaDibnMyZU13slpSSx5Bg1l4JJybvU3qhbrX4tLHXhdXzV2mrOF59vWYJVN+y1b2UlVdoq4gvjCfdxZsWioXzz0CgifJx5edsZ3t2V2Oo44griAOjj1qfVx5qbU/UVBH31m2BZaax4dPCjJBQkXFYyvl6krzN5ZVVkFet3bpyiKNdRlgtfzIFDn8KoR+Cur8HO1dRRKUqbuNq68umUT5keNJ23j77NC7+9QLW22tRhdUgdIsHycfRhrP9YNidspqq2qt3t2VlrGBroyi8JuXqIrpH478HGGXqOansbFhroPUOXYNXoftcTqYWUVtY0DA9MLUklpzwLTWUoyTnGrxoW4BxAaXUpeRXXXvzU3FVU11KrSlqTWpxKjawh2CW4+Z279wUnH/pmJwNwOud/BRcG9XRl7dIRjAx2Y09cdqvjiMuPw9XGFU+7thWvMSen0ovo4WaHqx4KXFxpasBU+rr35b3j71GjvXxIZmTdkEQ1TFBRjCTjJHwyHtIOwS2fwJSXVRl2pcOz0djw6o2v8vv+v2dzwmb+8NMfKK5SBZRaq0MkWAB39L6D/Ip8fjz/o17aGxPqwdnMErJLKvTSHlqtLikKmQCW7fxgFXEzVBY1DBPcn5iLEDAqRLfy+8GMgwD0sOtPUo7xy2r26qYrDhKbF9u2BmprYN3t111U2dA+/zWF/i/sbNe8oc6gvoJgi3qwhICQCfieO4CbjSun866uaDc6xIPYjGIKylr3ICSuII4wt7B2D/81B6fSivRSnr0pQggW911MZlkmJ3NOXrYt3McZIVQlwXpCiGlCiDghRKIQ4ukmttsIIdbXbY8SQgQaP0qlwzq9GVZOAVkL9+6AAfONctqK6lqWrTvasNaeohiCEIKHBz3My6Nf5kjWEe7Zfg/ppemmDqtD6TAJ1kjfkfR06smGuA16ae/Gump89Yv3tlvGcSjNgt7T299W8DhdT1jstwDsT8iln58L3ex1iVtURhRe9l6EuQWbpAerv2d/LC0sOZx5uG0NZMfoFmP+7QP9BtYKp9OLcHWwxtGmaz9tTCpMQiCaXCy3SSETEBWF9HXs2WTJ8FG93JESDia3vHezRltDYkEifVw7/vDAokvVXMi/RD+/Vq6B1wqjfUdjKSzZm3b5PE1HG0sC3R3UBy9ACKEB3gemAxHAnUKIiCt2uw8okFL2Av4NvGrcKJUOSauFXS/CxiXg0x/u3wN+g41y6ppaLY/+5xjbT2eoNe8Uo5jdazYfT/qY7PJsFmxbwKmcU6YOqcPoMAmWhbDg9t63czT7KHH5ce1uL9LXGVd7K/0NE4zfoSvL2mty+9uytIGwqXB2GyWXyjmWWtgwPHBT/CZ+PP8j4/zH0cvLifTCcsNUQ7wOO0s7+nv051DmobY1kFZ3XNJuKC/QX2CtcCrdcL0MHUlyYTK+jr4tX3sqeDwg6FsjSSpMoqz68pt8f/9uOFhrOJDU8gQrpSiFKm2V2VcQbIn6+VeG/LflaO3IkO5D2Je276ptkb7OqgdLZziQKKVMllJWAV8Bs6/YZzawuu7njcBE0Rm6UBXDKcmCdfPglzdg8CJY9B04dTfKqaWU/O2b0/wQm8ULsyKZ2V8tx6AYx3Cf4aydvhZbS1vu3Xkvuy7sMnVIHYJeEqzmhmLoy5xec7C2sGZL0pZ2t2VhIRjVy4P9Cbn6KdYQ9z34DwcH9/a3BRB+M5TnEx+1k1qtZEyoB6tOr+KF315gtN9olg9bTrCnAwDnco3/JGuY9zBi82MpqSpp/cFpR8DCErTVcHa7/oNrRkMvg56rvHVEiUWJDUM+W8TBHXwH0i8/DYm8apiolcaC4UFuHEhq+YOL+gIXnSHBOpleCBg2wQK40f9GEgsTuVh68bL3I31dSC8sp/BS++eqdnB+QGqj12l17zW5j5SyBigCrvoDLoR4QAhxWAhxOCfHQAvUK+Yv/gf4aDSc/xVmvgWz3tY9DDWSf/0Qx/rDqTwyoReLRgUa7byKAhDcLZh1M9YR5hrGE3ueYN2ZdaYOyey1O8Fq4VAMvXCxcaGfZz+OZR/TS3s39vIgu6SShOx2zmMqSofMk+2rHnilXpPA0o7a2C3YWgmiCtbxxpE3mBo4lXfGv4OdpR3BHo4AJOcafx7WcO/haKWWo1lHW39w2iHd79etJ8R8o//gmlFfRtscerBMOU+kRltDSlEKwd1aUOCisZCJRKbHAHAq9+rhAqNCPEjKKSOruGXzG+MK4rCysGr5MEUzdiqtiAB3e70svHw9Y/3HAlzVixXp6wxArOrF0hsp5SdSyqFSyqGenh2/CIvSStUV8P3T8OVt4NgdHtgLQ5e0fSmWNvhs/zne35PEncN78uTkjr+UhdIxudu5s2LqCib0nMAr0a/w2qHX0EqtqcMyW/rowWrJUAy9GeA5gDN5Z6ioaX9xivqy5+0eJphQV1I9TA/zr+pZ20PoJAJz9+AbvIPPYlYwN3Qur974KlYa3Ye3IA9dD5ap5mFZWVi1fphgeQHkJYD/UIi8BZL3wCU9r0fWjJNphimj3VqmnieSVpJGtbaaEJdWrtfSayKutdX427g1OQ/rhrpiLL+1cJhgXH4cId1CsLIwbFJiDMYaehroEkhPp55XzcOqT7DUMEHSgR6NXvvXvdfkPkIIS8AF6LilURX9yz4LKyZC1Icw4kFYugu8jDtX9L/H0nlxayzTIr15eU7fTlEISOm47CzteGPsGywMX8ia2DX88ec/6uXzeGekjwSrJUMx9DbMYoDnAGpkTdsr2DXi72pPsIdD+9fDitsB3QLAU79DnHICpvBvD0GOxR6WRC7h+RueR2OhadhuZ63Br5sdySaoJGhracsAzwFEZ0a37sD0I7rv/sN0CZa2Bs5u03+A13E6vQh/V8OU0W4lk84TaVUFwcb8h4G1E/2kZZMJVoSPMy52Vi0eJhiXH0dv144/PDC/rIq0gnKj9Yze5H8ThzIPUV5T3vCeu6MN3s62qlQ7HAJChRBBQghr4A7gyrHlW4BFdT/PA3ZLtbifAiAlHP4MPhkHJZlw1waY/ipY2Ro1jJ/jsln+9QlGBrvx1h0D0Vio5EoxPY2FhqeGP8VTw55i14Vd3PfDfeRXGPdBeUdgtCIX+hpmMcBzAAAnck7oJa4xoR5EncunqqaN3ZxVl3Tl1HtP1+uQgcraSh5K28NWRwfutw7liSFPNPnkKtjTgSQT9GCBbpjg2fyzrVsfIe0IIMB3sG5RZddAow8TNKMCFyadJ5JcqFvPqtVD8woaxp0AACAASURBVDRWEHQTfQuyySjLILf88kTKwkJwQ7A7vybmNTu/Mbc8l7yKvE4x/6qhwIWR5vbd5H8TlbWVRGdc/pBDFbpouFYeBnYCZ4ANUsoYIcSLQoib63ZbCbgLIRKBJwGDzR9WOpBL+bB+IWx9AgJugD8c0BWdMrJjFwr4w9qjhHV34tN7hmJrpWn+IEUxooURC/n3uH8Tlx/Hwu0LOV983tQhmRV9JFgtGYqhN+527vg7+usvwerlwaWqWo5eaGM1u3N7oaYCwvQ3/6qsuoyHfnqIs2WHmZ/nwCOZ8VwrdQvxdCQ5p1Q/hTpaaaj3UCSSI5lHWn5Q2iHw7AO2zrqENPIW3XpYjYYJSilZ81sKJ1IL9R5zfYGLvuaRYOlNWx5gJBUl4ePgg4OVQ+tP2GsC/YoyAa5Zrj29sJzU/PKrtjVWXxG0M/Rg1ZdHN9a/raHdh2Jvad/kMMGknFKjVxc1N1LK7VLKMClliJTyH3XvPSel3FL3c4WU8jYpZS8p5XApZbJpI1ZMSko4+TW8P1y3puWUf8CCTUarEthYYnYJ9646hKeTDavuHYaTbccfPq10ThMDJrJy6kpKq0pZuH0hx7OPmzqkNsssquD9PYnMfPcXLlW1f41UfSRYLRmKoVcDvAZwIueEXpKKkSHuaCwE+9s6Dyvue7B2goDR7Y4FdMnFsl3LOJJ1BMu8hQTZ34woStWts9WEYE8HyqpqyS6p1Mv5W6O/Z39sNDYtHyYopW6IoP+Q/70XMUe3UOPZrQ1v/euHOJ79Nob39iTqOWLzKnCBieeJJBUmtX54YL2QifSpqkaDuEahC10nW3PDBDtVBcG0QoI8HHA20ochK40Vo3xHsS9t32V/C/v6uaCVqGGCitJSeUmwZg5sXgouPeD+3TDqYbAw/ko2mUUV3LMyGo2FBWvuG46Xk3GHJSpKaw3wHMC6GetwsXHhvp338f/snXd4VGXah+8zmfQ2mfTegfQAIRC6ICgW1FVs2MGGfS3r7uq6665ld11dV8Uuy8ei4LoWVFR6rwFSIYEkpPdJ78nM+f54JyEhk2RSSILOfV25ZnLOmTPvJHNm3ud9fs/v2ZK7ZayHZDRtHTp+SC3h7jVHmPnqdv7+Uya2Fkoq64fvxDvsT4++pBjDPW9/xLrGUtlcSXFj8cAHD4CDlTmxvir2DqXhsE4nVrpCFoByZOp56trqOFZ2jOuD7qK6PBLb6KtBMoOThmPWTifB7JGsw2qth7yDAx5maWZJjGsMiWVGNhyuyoHmKlHD04lnDDgFdskEV+/K4p2d2dhYmJFSOPIZrNHoUzQIxqxORKvTcrb27OANLjpRB2KtCiAEC9Ire1/uwa52uNpbDtgPK6MqAw9bDxwtx8X/Y1ikFo6+9HSuz1zKmso4XX26a9sUfycAEvPGpsccwPb87RwrG0Rm24SJsaCjFXb9FVYnQNFxuOI1WLlNNBAeA+pb2rlrzRHqWjpYe880/J2HoC4wYWIM8HXwZd2SdYQ7h/PU7qdYm752TJRVxpJZWs+L355kxivbeXD9cU6V1LNqfgi7nprPxvsT8HO2GfZzjMjyjCEpxoWkqw6rfORkgimFNUb1jpFlmQ6dPnVYmgwNpSPqHlhYXwhAU4OQJcSHh0DgHDi1SWSAzqOzF9aIOgke+QDWXA7VA+tpp3lMI7Mqk9pWI1bLC/WBmHfcuW1dMsHdbNh1gr/9mMk1sV78etEEyupaKa0dWXea1MJxY3AxpnUixQ3FtGpbh57BAghZSGRDLamVqb0+SCVJYmawMwey+6/DOl11mklOo+vKdSGobGiluLaF6FHurTbHZw7Q067dxc6SQBdbEnPHLsB6PfF11qStGbPnN2FiQM7ugXdnwa6XYdKV8PBRiL8XFGNT69Su1bFq/XHOlDfwzvIpRIyxy60JE4PFycqJDxd/yCL/RbyW+BqvHHkFrW78SNUr6ltZeyCXa97ex2X/3MO6Q7nMCFKz5u5p7H92AU9dNpEAl5Fb1Bj9/PcIEOoUirXSesTqsOaEuiDLDLjafqL8BHf9eBdzNswRxg6ZPwIShC4akXEAFDQIz4PsYkuCXG3xUllD2NWgyYKKjF7HezhYYWNhNrIZrGJ9n7Hsgbt1x3vEIyOTWGpEFqsoEcxtwS2s5/aI60DWkrT1PywKd+e1ZTFM9hOr8MkjnMUaRwYXwNjViXQ6CA66B1Z3ghcS1dxIXVsdBfUFvXbPCnahsqGVrD76zLV0tJBbl8sE9cXf1yV1lOuvOnGxdiHCOaJXP6w4fyeO5VWNyQpifl0++fX5zPIeGdm0CRMjSmMlfPUArL1aNLtf/j9YtgbsPcZsSLIs89xXaew9U8nL10Uyb4Kp35qJixMrpRV/n/d37oq4i88yPuPxXY/T1N40ZuOpa2nn88QCbv/4MNNf3sYLm9Jp7dDx/FXhHP7dpaxePpVLJrpdEIfOizLAUiqURLpEjliAFeOrws5S2Wc/rIyqDFZtW8UdP9xBamUqDe0NItN0+gfwjQdblxEZB5zLYKXmmjEnRH/eSVcDkkGZoEIhEehiO7IZrFK9aUHWwAFWpEskVmZWHC0zoh9W4VHwntJrhfD7chfO6jy4ze4Yb90yGXMzBRFeDigV0pBlghlVGewr2tdj28/V4GIoZNfoAyzHYQRYAbOJbBerU4bqsBK66rAML1xk12SjlbXjy+CioxW2vyismQdBamGtSMbq+1CNJnN95pJckUx1y7mMVVyAE9VN7WPiMLq/eD8As71mj/pzmzDRJ60NsOfv8K8pkPoFzHkKVh2C0EvHemS8szOLjYkFPHxJCDdN8xvr4RiFJEmXS5KUKUlSliRJvZQVkiTdJUlShSRJSfqflWMxThOjj0JS8GTck/xu+u/YU7iHFT+t6OU2fCFpadfyfUoJ969LJO4v23jmixRyNY2smh/Clifm8uPjc1kxOxD1BVYyXZQBFgiZYGZV5og0ODM3UzAjyJl9WT3trXNrc3l699Ms+3YZyRXJPD7lca5w/QMAaTnJUJI8ou6BIAIse3MnmtuUzA7Vr2LZu4PfDCETNECQqx05lSOUwWqpg+qzYGYBObuho3/ZpIWZBbFusQMbXbQ3Q2mqaDDcjZ0Z5Ty2MYnj9vOJaEvGqk1MEq3MzZjoYU9yweAL9Ysbirl3y738Zs9veqzgjzODizEluyYbNxs37C3sh34SKweCPaZgJRt2EvRV2+Crtu7T6KLT4GKSehxJBFM+h73/gGNrBz62+8MKawlysR0Tt695PvOQkXssKEz1VwNwLG/0e5PsL9qPn70fvg6+Ax9swsSFpr0FDr0Lb8bAjr9AwGx4YB8sfB7Mrcd6dHx9oojXtpzm2lgvnlx8cWTzJUkyA94BlgDhwC2SJIUbOHSjLMux+p+PRnWQJsacWybdwj/n/5Osmixu23wbObUXzqi1vqWd71KKeWzDCab+eSsPfXqc4/k1LJ/ux1erZrLn6Ut46rKJTHAfxpxnkFzUAVaH3EG6ZmT8NOZOcKGgqpk8TSOljaX88cAfufaba9lduJt7o+5l8682U1E4i/X7RKpzx8FvxQNHOsBqKMQSF8wUEtOD1Od2hC2FsjThdnQeQS62FFY309I+AlrXMv3fM+YWaKuHgsMDPiTeI54z1Wf6bzRXkiKaCnervzqYreGB/xwjzNOBy256EEnW9Qgio31UpBTWDErm1Kpt5YldT1DTWkNdW11XRhDGncHFmJJdmz10g4tuKIMXEt7aQlr5CYP7Zwa5cDBbg1bX+3+YWZWJjdIGH3ufYY9jRJBlOPyeuH9mcC5IqUU1RPuoLsCgBibMOQxnK+ceMsFgV1ucbMw5Osp1WG3aNo6UHjHJA02MPdoOOP5/8NZU+PFZcI+Aldvhlk/BbXws6hzM1vD0F6KR8F9viDbY63KcEg9kybKcI8tyG7ABuGaMx2RiHHKJ3yWsuXwNzR3N3L75duPKSYykvK6F9YfzuPOTI0z98zYe/vQEe89UclW0F+tXTufQbxfywtURTPZzGpNr66INsKJdhcvPSPbDAlhzYjNXfnklm7I3cfOkm9n8q808FPsIf92cz3u7s7llahgSEnbaLDTmHsiuI/tBXVhfSEuTilhfVU+757Crxa2BLFawmx2yDLmaEZADleqlXgkPg0IJWdsGfMg0D+EK2K9rWJH+otJnsE7kV7Ny7VH81DasvSceO98YcA7p0XQ4xseRupYOcjXG63dfPvwyJzUnWRW7CoA0zbnMSmrR+DG4GEt0sk44CA7H4KKTkIVEtrZxqiqTdl17r90zQ5ypa+ngpIHGtxlVGYQ6haKQxsnHUO4+sYjhMlG0E2g0TtJQXtdCWV3rmElPFZKCuT5z2V+8v8uAR5IkpvqrOTbKToLHy4/T3NHMbG+TPNDEGKHTQdr/YPV02PSIUIDc8Q3cuamXgmIsySqv5/51ifg72/L+bXFYKi+qRsLeQPfC20L9tvO5XpKkFEmSvpAkyWBKW5Kk+yRJSpQkKbGiosLQISYuciJdIll/xXqcrZ25b+t9bM7ZPKTzyLLM6bJ6Vu/K4tp39hP/8nZ+/1UaZysbuXOmP5/fn8DR31/KX2+IZlaIywWpqxoM42RmM3jUVmr87P1GzEkw0MUWb5U1u4q+R2Wl4rvrvuPZ+GdxtFDzxMYkPj2cz6r5wbx0bSxqKydszTVsao7hP0d6F/cPlXZdO6WNpVTV2jNLX7/ShcoXvKYYrMMKchlBJ8HSFLBxBpdQ8Eswqg4rwiUCa6U1R0r6kQkWHhX9Rew9aG7Tcs+/j+Jib8n6ldOFDrbTTTB3HzSID9kYX5ERMLbh8Benv+DLM19yX/R9rIxaiaWZZQ8L8bRxZnAxVpQ0ltDc0TwyAZZHDFGyBa1yB1nVvfuWJQQZ7oclyzJnqs+ML3ngoXfFe//qNwHZqPc+nMuMjraDYHfm+sylvq2+R5PHuAAnzlY2Utkwej3y9hftx1xhTpz7+JnImviF0NEKSZ/C+3Pgi3uEzP3mT0XWKmj+WI+uB+X1Ldz5yVEslGasuWsajjY/y0bC3wIBsixHA1sBg7prWZY/kGU5TpblOFdXk7nHzxUfex/WLVlHtGs0v9n7Gz5I+cAodZKmoZVvkop46r/JzHhlO4vf2MPffsxEJ8s8tXgCPz0+l91Pz+f3V4YTH6ge86CqOxdtgAVCJjhSDYclSWJWsDOajjPEuU/Dy86LlnYt9687xqbkYn5z+SSeuXwSkiThprCm0kxC4zWfP397kiQjA4CBKG0sRStr0bapifUzIDcKuxqKj0NNz6DunFX7CNRhlaaCR5QIeEIWQlkq1JX0+xBzhTlT3Kb03w+r8FjX6mFiXhXVTe388eoI3By6NVGMuA66yQRD3eywMlcY5SSYWpHKy4dfZpbXLFbFrMJcYc5E9cSuDFZtUzt5GpPBBZwzuBiRAEuhINJzOgCpFSm9drs5WBHiZtfL6KK4sZj69nomOI2TmoOqs5C5GabeDb7TwdbVaJlgSmEtCgnCPUff4KKTBK8ElAplD5ngtAB9P6xRlAnuK9rHVPep2JgPv4eICRNGUV8GO1+BNyLg6weFFP26D0Sd1aQrxXfZOKKprYOVaxOpamzjk7vi8FVflNdKEdA9I+Wj39aFLMsaWZY7V3c+AqaO0thMjFMcLR35YNEHXBV0FW+deIvn9z9Pu7an8qWtQ8fBbA1/+zGDq97ay9S/bOOxDUlsPVlGnL+aV38VxcHfLmDTw7N5eEEoEz3sx6209qIPsDQtGooaigY+2AiiAmRQ1uGsDKG+pZ07PjnCzsxyXroukgfnn5uMurW3UKE0Z+Vtt+Nqb8lD649T3Tj8rs+d9UJyu9pwIBCulzhnfNdjs42FEk9Hq+FnsLTtUH5KBFgAIXp3pewdAz40ziOOrJosNM0GHOPqy6A2v6v+6kC2BqVCIj5Q3fM4t3BwmdAlE1SaKYjydhwwg6Vp1vDEridws3Hjr3P/ipnepTDCOYKTmpNodVqTwUU3cmpEoemwHAS74R26BJVWS1rhXoP7ZwY7czS3irYOXde2jCrRcmDcZLCOfCjcLaetBIUCQhYJeawRPTzSimoJdrXD1lI5CgM1jK25LXHucT0CrEhvRyyUilEzuihtLCWrJsskDzQxOhQnCbv1f0bC7leFwuP2r4UzYMxNY9bPqj90OpnHNySRVlTLW7dMHrO6zRHgKBAqSVKgJEkWwM1AD3mNJEme3X5diuj1aOIXjoWZBS/PfplVMav4JvsbVm65jx9P5vCPLZnc9P5Bov74E7d8eIgP9uRgY67kyUUT+PqhWRx/fhHvLJ/CzfF+eDqOvTmNMVzcAZabvuHwCNVhWduLAKe4zJ1bPzzM8bxq/nlTLMun+587SJZxrSunzMIKlYM97942hYr6Vh7fmITOQCH/YChsEM/vYumFm71V7wOcg8EtwrBM0NWW7MphBliVZ0DbCh76LvbukWDnYVQdVrxHPIBhu/bz6q8OZFUy2U/Ve0LaKRPM2y+CMoTRRXpxHe1aHYbo0HXwzJ5nqGmt4Y35b+BoeS6AinSJpLmjmdy6XJPBRTeyarJwsXbp8bcaDlLwAiJb20gzkMECmBnsQlObtofl/umq00hIhKhCRmQMw6K1Hk6sE+89B/2cIHQRtNSca47dB7Isk1JUS9QYygM7meszl+za7K6FGkulGdHejiSOUh3WgeIDAMzyMhlcmLhAdLSJ7781V8AH88T9qXfBw8dg+ecQfMm4y1h15+9bMtlysozfXxnOpeHuYz2cISPLcgfwMPATInD6XJbldEmSXpQkaan+sEclSUqXJCkZeBS4a2xGa2I8UV7Xwg9ppZTlz8W5+U6OlZ3g1/tWsnrfEZratCyf7s+Hd8SR9MJiPn8ggUcWhhLrqxpX0j9juagDrBBVyIg2HM6uS0eSzfn6sCike//2qVwTe17dZkkybi31VNFBu66daB8VLywNZ/fpCt7a0bsGZTAU1BeArCTaox974/ClkH+wKwDpJNjVjpzyhuHJJTsNLjozWJIksljZO4QjUz+EO4djo7Qx7BBTmCgMMzxjqG1uJ7WoloTgPnqHnScTjPFV0dqhI7O03uDh/zr+L46UHuH5Gc8T5tyzgXGEcwQgLMRTi2rxVpkMLgByanNGxEGwCwdPopSOZLdWG2woOCNIjST17IeVWZ2Jv4P/+JCSJX0KrXUw/cFz24IvAckMsrb2+9CyulYq6luJHgeB+zyfeQA9slhxAWrSimpHxmF0APYV7cPdxn1kpKcmTHQiy0Ji/v1T8I+J8PntQia/+CX49Um44u/gMg4Wagbgi2OFvLsrm1vi/bhnVsBYD2fYyLK8WZblCbIsB8uy/JJ+2x9kWd6kv/9bWZYjZFmOkWX5ElmWM8Z2xCZGm/L6FnZklPHmtjOsXHuU6S9vI/7l7axaf5wNR/PxVMzmCpcXsLdtwTv8Q/5ysz1/uDqcReHu2I2hImSkuKhfgVKhJMolasQCrJTKFDysQpAtLfngjriuRqk9D/ocV30yRdOswcPWg1vj/TiWW80/t59msp+KuUPswp5bU4C2zYmYEKe+DwpbCrteETLBaSu6Nge52FLf2kFFQ6vh7JcxlKaAmSU4h57bFrIQkv4jar984/t8qFKhZIr7FMP9sAqPimyYuTWHT5eik+lt4tGJWxi4ToL0ryH+XmL0mYGUwtpessktuVtYk76GmybexDUhvR1iAxwCsFHakK5JJ63IYUxNCMYLsiyTXZPNtSHXjuh5I92noKs+xMmy48T59JSIqWwsiPBy4EB2JY8uFO+tjKoMIl0iR3QMQ0Kng8Pvg8808OlWImDtJN7vZ7bAguf6fHhnVm48ZLD8HPwIcAhgT9Eebg27FYA4fyfe2y2TXFDD9KA+rrkRoEPXwaHiQywOWDxu9fAmLjKq80RfupQNoMkS302TroDom8XCn9nFM305mlvFb79MYWawMy9eE2G6Rkz8rOjQ6sjVNJFVXk9maQOpRbWkFdVSWif61EqSmKPODHYh0tuRKX4qIr0dMTcTOZ6ztbGs2raKFT+t4OXZL7M4YPFYvpwR4+L5hOqDGNcY1qQJj31r5dB1mW3aNk5pTrF80nIevuFSw5aprQ1wYh1ugdOg9QzlTeV42HogSRIvXRdFenEdj204wfePzsFLNfixZFfnIberiepPl+0WJgKgtC97BliudoBwEhx6gJUK7uE9v7iC5oOkEDLBfgIsEDLB14+9TkVTBa42+iBTp4XiE6KvFiKLYWWuMGzi0Un4tbD7r1Bfip/aHZWNOckFNdw6/VyH+zPVZ3h+//PEuMbwm2m/MXgaM4UZYc5hJJenkqeJ4cY4U+PTsqYymjqaRjzLEDnhajh8iLSs73sFWCBkgv/en0tzmxYtzRQ1FHF96PUjOoYhkbUVqrLhkt/13he6CLa/CPWlYO9h8OFpRZ0GF2MfYAHM8ZnDxoyNNLU3YWNuw1R/vdFFXrXxAZYsi6xe8IJzkskBSK1Mpb693tT/ysTwaKqCU99CykYhFQfwnwWzHhM1yFbj4zobDAVVTdy/7hg+TjasXj6la1JpwsTFRrtWR0FVE6fLGjhTVs/pcnGbU9FIm76MozOYSgh2JtLbkShvR8K9HPrNSAU6BrL+yvU8uuNRntz9JI/VP8aKyBUX/ULEzyLA6pA7SK9MJ85j6NbAGVUZtOvaiXGL6bsfRcoGaK3DNfoWOPoiFU3nejZYW5jx7m1TWPr2flatP87n9ydgoRzcB2lZczG6tuj+64QkSRTw7vgLVOeCUwDQ3UmwkRlDWamWZRFgTbqy53YbtTCnyNpmeBLajc5+WIlliSwJXCI2VmRAW8O5+qvsSqYFqPvv+RFxrShaPrkJafp9RPk4cqz4NF9n5ZBUnkRSeRLZtdmordT8Y94/MDfr2+I20jmS9ac+BbQ9/64Zm+HMT0JmYmnX7+v6OdHpIDhSBhedqIMX473/WdL6aCKYEOzMB3tyOJZXjY1DPgAT1RNHdAxD4tC7YO91zkCmO6GLRYCVtQ0m32bw4SlFtUxwt8faYnwU1M/zmce6k+s4XHKYS/wuwcnWghA3OxJzB2F0kbIRvlkFPvFwz49GmQXsK9qHmWTGdL2jpAkTRlNTABnfC1VG3gGQtaIn4oLnIOpGcPIf+BzjlPqWdlasPUqHVsfHd8ahsjFJ1E2Mb5raOsivaiJP00SeppE8TRP5VU3kahoprmlB281rwMfJmgnu9syb6MoEN3smuNsT7GaLjcXgQwu1lZqPL/uY5/Y9x5vH3+Rs7VleSHgBC7OL95q56AOs7g2HhxNgdcoMO8/XC1mGwx+AZyyuAZfA0Rcpby7vcUiQqx0vXRfJYxuS2JVZzuIIw6vehqhtraVV14iD0l30heqP6Jthx0uQvAHmPwuAl6M1VuaKoVu11xVDc9U5g4vuhFwqZImNGrDtO3ibpJ6EnbkdR0qPnAuwOk0CfKZRUd/K6bIGrpvs0/9Y3MLIcQ1m9+mNnGhMI8P8GC2OdTy/H+wt7Il1jeWKoCtYErAEd9v+C4UjXCLokNtRWJb2DLBO/wgnv4Er3+h/LD8zRtSivTvmVkSaO5LWXGpw97QANUqFxIHsSnz8hRR/otPIB1h5mkY+O1LAfXODBr6Oyk9Bzk5Y+AcwFKS7R4K9p5AJGgiwZFkmtbCWBZPcRmj0w2eK2xRszW3ZXbibS/wuAYRMcHNqCTqdjGKgQuHmGtjyHNi5Q+EROPAWzH58wOfdX7SfGNcYHCzGzqq+E0mS1MBGIADIBW6UZbmX04ckSVpAX3hKvizLS88/xsQFQJbFwtup7yDjWyjRS/xdJ8HsJ8Qin9fkcW1WYQwdWh2PfHaC7IpG/u+e+C6ViQkTY0W7VkdFfSvFNc0U17ZQUtN87n5tMyU1LWjOc8RW2Zjj72zLZF8nrou1wc/ZllA3O0LcRt4519LMkr/N/RtBjkGsTl5NQX0Bb8x/A2frCydvv5Bc9AGWk5UT/g7+JFUkDXxwP6RUpOBh64GbTR+TpZxdUJkJ176H2lqNmWTWI4PVyeWRHliZKziYoxlUgNXpIBioMkLGpvKFoHlCxjP3GVAoUCgkAl3syB5qgHW+wUV3Qi+FXS+LyWjUDX2eQqlQMtV9ak+ji8Kjop5FHcSB5GIAZoX0f7EcLT3KA3YdtOnK8auxIsppBnvT7Pj71UtZGj4ZhWR8ZjDSWdT5OKvLexpcFBwRkkfFL0uu0Zn5c7Lqp85viEQ5R/FT5UE0ZSk4u/cM1O0slcT4qjiQrSHW4TQqS1Xf19oweOn7U2w5WcZXJwp58+bJ/WdzD78HSivR+8oQkiRkgulfixYG5wVhJbXiy2g81F91Ym5mzkyvmewt2ossy0iSxFR/JzYcLSCrooEJ7vb9n2DnS9CkgXt3wp6/i98nXCakyX2gadaQrknnkcmPjPCrGTLPAttlWX5VkqRn9b8b0hE3y7IcO7pD+4XS0SqyU2e2isWtKrHQg880uPRPMOmqi8KoYjC8vDmDXZkVvHRdJLNC+jB1MmFimOh0MnUt7VQ2tKFpaKWiQRgvlde3Ul4nfi+va6GivpWqpjbO90Gzt1TipbLGU2VFlLcKb5UV/s62+Dvb4K+2HfUm2JIk8WDsgwSqAnlu33Pc+v2tvLXwrfHTM3MQXPQBFgiZ4L6ifV0TiqGQUpFCjGtM3wccfh9sXCDyVygkBS7WLpQ3lfc6zFJpRpy/moPZBvpB9UNmZS4A0R5GZhZil8OX90L+AQgQNS9Brrak6e3IB02ZPsByj+i9z3My2DiLL8d+AiwQMsHdhbspbyoXE+iiY0JiKEkczNbgYKUkwqvvCekpzSke3fEoPpZq3j+Tgsd9Gyi3CSZ+33Yqq5wGFVyB6B4u6WxwVHXLrDTXQMUpiBoHNUCjTHZN9ojLAzuJDF4ClQdJP/lf5rr3zoTODHbmnZ1ZWPhl1nx1QAAAIABJREFUMFE9ccT11Vnl9Ww5WcZ1k71Fzd6Hh3hkQSiPLgztbfHaVAXJGyH6RiGD7YuQRXD8/0RAHtCzviilcHxa/8/1mcvWvK2crj7NRPVEpgWI13c0t6r/AKs4CY5+BHErwCsWrvonrJ4ueg2t3GY4ywccLDkIMJ7qr64B5uvvrwV2YTjAMnEhqS0SNY6nt4gFyvZGYVQRMBsSHoKJVxhd43ex8enhfD7Zf5a7Zgb0bPNiwsQA6HQytc3taBrbqGpso6qxlarGdqoaW7u2aRraqGw497vWQIsgpULC1d4SN3tLfJxsmOznhJu9Je4OVniqrPBWWePpaIW91egGUMZyecDl+Nj58OiOR7l98+38be7fmOc7b6yHNSh+NgHWpuxNFNYX4usweCODiqYKihuLWR623PABVWfFqtvcp0BpCYCbjRsVzb0zWCDqTf7+Uyaahlac7SyNGsPxYrGiN9M3dIAj9Uy6CizsIemzrgAr2MWWH1JLaO3Q9l/jZIjSVHAKBCsDEh+FQhS8Z28Xrmv9ZH0667COlB7hKq+5Qoalr2/Zn13JjCDnPvsZ5Nbm8sC2B7C3sOf9mS/jkbEQ8g7gFh+Bl6MVyYWDDx7rWjpob/JG61RwbmOnbNH3l1UvIssyOTU5XBF0xQU5f1jQYswO/YEP8n/Eveq2XjVWCcHOvLUjk6zqM9wSdvOIP/97u3OwMlfw/FXhWCoVPP9NGm9uP8PBHA1v3hzbsznh8bXQ0QzTH+j/pEHzRYuBM1t6BVipRTUoFRJhnmMvi+vODM8ZgLgGJ6on4u9sg4udBcdyq/ue7Ol0sPkpsFafc020c4UrX4f/3gn73oB5zxh86P6i/ait1ISp+85yjTLusiyX6O+XAn3piK0kSUoEOoBXZVn+2tBBkiTdB9wH4OfnZ+gQEyBaeRQeEdfKma1Qlia2O/qKuuHQyyBwDljYju04LzAHsir5wzdpzJvgynNXjptrwsQY0tKu7coqafSBkaahVWSd9Pc1DW1oGlupbmo3GDCBUII421mgtrXAx8mGWF8VznYWONta4mxngYuduHWzt0JlbT6wJHycE+kSyWdXfsYjOx7hkR2P8GTck9wRfsdFY37xswmwAJIqkoYUYKXoG6T2WX919CNR6B13T9cmV2tX8uvzDR7eKUs6fLaKK6KMW6E7XZWHrsOWqf5GruhZ2AgziLQvYclfwdKOIFc7dDLka5oIHUgKdD6lqYblgZ2EXAqp/xVW7l59q2omOk3E3sKexNJErsIekMEnjoKqJgqqmlkxK9Dw0zeWcv/W+wH4YNEHeDj4C/OB/IMQfy/RPqoejWqNJb2oFm2LN1Ude2nVtmJpZgkFh4UzoteUQZ/vYqaiuYL69voL1qfIxsKWF9RxvFZ5hGXfLuPKoCt5ePLDeNuJXnJT/JywtK6iXW4bcYOL4ppmvj5RxG0z/Ltqr16/MZZZwS48/00aV7y5l9eWxbAwzF3I/Y58CIFzDWdsu2PlAH4JYsK46E89dqUU1hLqbo+V+fgwuOjEw9YDX3tfjpQe4fbw25EkiTh/df8Nh5P+I+S8174L1t0cPiOuhVM3CFfPCZeDZ8/PSJ2s40DxAWZ6zRx0dnk4SJK0DTCkwf59919kWZYlSeqrOaC/LMtFkiQFATskSUqVZTn7/INkWf4A+AAgLi5ueN3kf27UlwkTmKytkLUDWmvFgoRfAix6URjFuE666OupjCVP08iqT48T4GLLW7dORmlyDPxZo9PJVDa0UlTTTHGNqGMS0rwWcau/X9diuI+ovT5gcrazxN/Zhin+KtS2FqhtLXG2tdDft8DZzgInG4tx910zGrjburN2yVp+v+/3vJb4Gtk12Tw/4/l+zc3GCz+LACtEFYKtuS3JFclcHXz1oB+fXJmMucKccOfw3jtbG+D4OtF/ysGra7ObjRuJZYYd06J9HLGxMONgtsboAKu4oRAL2RVH60G8aWKXw4l1wtY29haC9UW02RWNgwuwWuuhKgdibu37mOAF4jZrW78BlpnCjKnuU0U/rA59Ua/3VA6kVQIY1KLXtNTwwNYHqG2r5ZPLPiHAMUDs8E+AvIMgy0T7OvJjeinVjW2DahacWlSLrsUHnawlsypTBNGFR4SBwS/IPRC6GVyMZJPh87huxjMsfC+Bjydfw/q8rfyU+xO3TLqFe6PuRWWlYoJfPbmMvMHFh3tzALh3bk/54/VTfZjsp+LhT0+wYm0i98wK5Lf+JzGvK4Ir/2HcyUMXw9bnobYQHIVBiyzLpBXVsjjc+DrL0STeI54tuVvQ6rSYKcyIC3Dix/RSyutacHM4r41DUxVsfUFMivXtFHpwxd8hdy98/SDcu6Mriw9wquoUVS1Voy4PlGX50r72SZJUJkmSpyzLJZIkeQK9tdziHEX62xxJknYBk4FeAZaJbui0UHRcn6XaAiX62mc7Dwi/WlwrQfMvSjv14VLf0s7KtYnIMnx0RxwO41R6ZcJ4ZFmmqrGNXE0jZyubyNc0UlTTojeGEKYQnfbknVgoFbjppXkhrnbMDHbW/26Fq71lV5ZJbfvLDJiGgrXSmtfmvcbqpNW8n/I+eXV5/GP+P3CxHt+1jT+LAMtMYUakS2RXJmqwpFSkEKYOM2wHmbJRrMqdJyVys3Gjrq2Olo4WrJQ9JyzmZgqmBag5mGN8HVZdRxmulkbKAzvxmyFkfUnrIfYWAvVW7YM2uihLF7f9ZbDs3MAzFrK2C6lkP8R7xLOrYBf5LQfwcw4FaycOZOfiam9JiFvPoKapvYmHtj9EQX0B7y16r2eQ65cAaf+Dmjxi9b3BUopqmTeIRs6pRbW4mofSAKRVphHtHCEkgoYmkj9zalprsDW3JUh1YWqwAHALw8E1gifKirjllu9YnbSa/5z6D1+d+Yp7ou7BzbWMs5Vm1NQ6QT+lT4OhqrGNDUcKuCbWG28D/eeCXO34ctVMXv0hg0/2n+WG5NeYqArELPQy456gM8A6sxXihCFGYXUz1U3t48rgojvTPKbxvzP/I6M6gwjniB79sHot+mz/E7TUioDTUKbBRg1X/ws+u0lkshb+oWvX/qL9SEjM9Jp5IV/OYNkE3Am8qr/95vwDJElyAppkWW6VJMkFmAX8bVRHebHQ3gzZOyHze8j8EZoqhQLAJx4WPC+uD4+oX0yWyhA6ncwTG5PIqRSOgQEuP28Z5M+NlnYtWeUNZJU3kFPZSG5loz6oaqS+W/ZJIYG7g6hfivFRsSTSGm+VFV4qa/HjaI2DtfKikbBdTCgkBQ9PfphgVTB/2P8HbvruJt6Y/0bfyrNxwM8iwAIhE/w49eOuBpvG0q5rJ70ynRsmGDBvkGVhbuEZ26vJbmcj3YrmCnzte8sSE4KdefWHDMrrWwZs/Fta24jOrBr/wcobJUlksXb+BarzsHPyx93BkpyKxsGdpz8Hwe6EXCpqMVpq+12hnOU9C2WikmvaTjNb7cwVOT+wP0dmVrBnjw+eNm0bj+98nDRNGm/Mf6OrfqsLf/2kLe8gkZPE/ye5oGbQAVa0hx+Zls6ka9Kh/KToy/ULq78CWBK4hMsDLr/wTxS1DLa9gEdrMy/OepHbw2/nzeNv8ubxNwGQ2zz5IbWC6YEj4yK49kAuze1aHpjXd+BoZW7GH5dGsEhdTvi2U+x0+jWXGOsg6ToRHP16BFipRePT4KKTeA/xeXW05CgRzhFEeDliZa4gMfe8AKvwGBxbCzNW9S+XnHi5+KzZ9wZMvBJ8pgIiwAp3DkdtNULR8sjwKvC5JEkrgDzgRgBJkuKAB2RZXgmEAe9LkqQDFIgarJNjNeBxR6NG1B1nbhaLah3NYOkgXDUnXiEUDf2Zw/zCeH3rabadKuePV4ebHAPHMbIsU1rXQkZJPadK6zhVUk9GSR05lY1ddU+SBN4qawJdbLk21psAF1sCXWwIcLbFV21jahQ9xiwJXEKQYxCP7XyMu368i+dmPMevQn811sMyyPgKsFobIPMH8IwB18FZMsa4xqCVtaRr0ntP1PvhTPUZWrQthqPgLmv2d3utzrlZi8lhRVMfAZa+DutQThVLY7x67e/O3rNnkCQdEa6G65P6JeZmYaWcshHmPUOQix05lYPMYJWmiOJ2h/7HScilsPc18Xcx1JhVT5BjEJ/NfZ1Nm+7iJ2c7du19BtnTgnKrmewpXEaCVwIKFPx27285WHKQP8/6Mwv8FvQ+kWuYCOTyD+IQewvBrraDqsOqbW4nT9PEjXG+mOsiSa9MB8vDYqev8e+RnxOjsrIWeT1sewFSv4B5TxPqFMrbC98msTSR91Leo6w0gO9SSnj+qvA+DU+MpbG1g7UHc1kU7m6ULHaW+WkAXjo7gakt7cbJeCRJtCpI3ijsppWWpBTWYm4mMclzkLWOo4SrjSsBDgEcKT3CXZF3YaFUEOOjIjGvW8NhnRa+f0L0vNL30+uXy18R1/7XD8D9e6iT20muSGZF1IoL9jqGgizLGmChge2JwEr9/QPAACtKvzDqSiD9KyE5LzgEsg4cvEUPuElXgP9sUF68TT8vFN8mF/P2zixunubLnTMDxno4JrpR1dhGUkE1x/NqOFFQTVpRHbXN7V37fZysmeThwOWRHkzycGCCux1+zjaDNwkzMapMVE9kw5UbeGbPM7xw4AXSK9N5Nv7ZcVeXNb4CLG0bfLkSLv3jkAIsEA2DBxNgdcoKDVq0H/lAWLNH9I6OOzNY5zcb7iTCywF7SyUHszUDBlhHC7MAmOYzSIkgiJ5YgXOETHDu0wS52vJdSsngLOs7DS4GOt5nGlg6ijqsfgIsgEkNVUyqquHJ67/ipZMFrE/fRK7lcR7avguVpYoAhwCSKpJ4Ku4prg251vBJFArwnSGMLoAYHxV7zlQa/drS9VmGSG9HFE0R7CncQ6P2ELZ27qAyWedeMFS+4DcTUj8XclL9/yrOI46PPD5ic2oJq04e51COZtirvZ8dyaemqZ0H5xtZV1aSTLu1K1nV9qw7mMdDlxjZeyd0MSR+It6LQfNJK6ploof9uP4ijveI5/uz39Oh60CpUBIX4MR7u3NoauvAxkIJx9aIJq/Xf2zYPfR8rBxh6Vvwn1/Bjr9weNJ8tLKW2d6zL/yLMXFhaKqCk18Ls6TcfYAMbhEw5ykRVHnG/qKlfwORWljL018kMy3AiReviTRJw8aQDq2OjNJ6ThTUcCKvmhMFNZytFGoeM4VEmKc9V0Z7EubpQJiHPRM87E11chcxKisVqy9dzb9O/Is1aWs4XX2a1+e/3jU3Hw8MK8CSJGkZ8EeE3CJev0I4dGzUQopTMvhaKkdLRwIcAkguTx7U45IrknGxdsHT9ry6hKqzIps29ykw7y3x62ySaqjZMIDSTEF8oJpDRtRhnao8CxJMcA4Y1Ni7iF0OX90P+QcJdvWktrmdqsY24yzitR1QdhLi7x34WDOlaHCctV3IJ/v7MilMBKUVZh5RFG7X4da2nB03zWF/8X42n93MroJd3Bd9H3dG3Nn/c/onwJmfoLGSGF8VX54ooqS2BS8DtTbn013GJVVHICNzquQocb7xYz5pkCRJDWwEAoBc4EZZlnvZvEmSpAX0Gk7yZVleOlpjHBbRy+C7J0Twfp7z3IJJbthZKtmUVDysAKutQ8dHe88yI0jNFD8jGycXJ2HuM5lL3Nz4aG8Od80MMK4bfeBcMLOAM1uRA+eRUljDldEDZHzHmGme0/j89Oec1Jwk2jWauAA12p3ZJBXUMNNdhu0vQsAckXE0lpCFwk314Dvsl6qxN7cnysWUCLqoaK2HjO9FfWv2DtB1gHOoyGJGXg8uQ1jo+wVSXt/CfesSUdtY8O5tU7FQmqRjo4ksy2RXNLLvTAX7sjQcytHQ0CrqpVzsLJnip+Kmab5M9lUR7aPC2mL8LoaZGBpKhZJfT/014c7hXXVZr89/nVi38dE/frgZrDTgV8D7IzAWgUeUkKwNgRjXGPYU7uk/w9FSJ75gHIV1dEpFCtEu0b2PN2DN3h0HCwcsFBZ9Blgg6rC2Z5RTUtvcswdPN2RZpqC+EMlBiav1ECPvsKvh+ychaT1Bk14AhJOgUQGW5gxoW8HDyELB0EVwahNUZIBbPz0+ChPBazJaScmhHOGmaG5mznzf+cz3nW98hs1PX4eVf5BoH7FSnlJYY3SA5a2yRm1rQYRC1Jekt2mIGx/1V88C22VZflWSpGf1vxtqhtosy/L4+LQYDOHXwuanRRbrvADLytyMxeHu/JBWwovXRgw5C/R1UhGldS389QYj37vtzeJ9O+kKHg4O5fp3D/Dp4fxezoMGsbAV/ebObCE/7nfUtXSM2/qrTqa5n+tJF+0azRQ/JyQJEnOrmZn6BrQ19m1s0R+L/ox8chP7Sg8zw28eSsX4EkKYMIBOBzk7hets5g/Q0SL6UyU8BJE3/OJNKgZLa4eWB9Ydo6apnS8eTMDFyH6XJoZHeX0LB7I07MuqZH9WJSW1LQD4qW1YGuvF9ECx2ObjZG3KJv6CuDzgclGXteMx7v7pbn4b/1uWTVg25u+BYS25yLJ8SpblzJEaDCAmY5psUY81SGLcYqhuraagvqDvg757At6IgI23U312F/n1+cS4nScPbGsUX0TnWbN3R5IkXG1c+5QIggiwAA5m953FKqtrpYUKVObumCmGuMJiYSv61aR/TYhK/EtzjHUSNNbgopNgfWlD1ra+j6krFtIj76mkF9dS19LR9bfoxOg3vtdkUFpB3kHCPB1QKiSSCoxrOJxWVNs1CXa2dsbTQkW6pYVwvxp7rgHW6u+vBfrQSV6k2Kj1vdP+JyZ353F1jBd1LR3sOV05pNPrdDLv7c4mwsuBuaFGZsHK0kHWgmcsU/2dmBXizPt7cmhp1xr3+NDFUHma7NOigWr0OHUQ7MTZ2pkQVQhHS48C4GhtzgQ3e6pP7xeS4oSHhIHHYLG0I9snljK5zSQPHO/UFsHuv8GbMULambMbJt8O9/wEj6WIXlWe0abgahDIssxzX6VxPL+G15bFEOE1vj8Hfg60tGu5/J97iH9pO49vTGLbqTKm+Dnx8nVR7Hn6EvY8cwkvXxfFNbHe+KptxnxibWL0meA0gQ1XbWC653T+fOjP/GbPb2hoG3wcMZKMWk5bkqT7JElKlCQpsaKi76yPyKTI56zDB0H3Oqw+yTsATgGQs5vUz28CILq1Q0jeOknZKJzypt/f7/O52bj1m8EK83BAZWPeb4CVUliDwrwKH3uffp9rQGKXQ1sDXiXbsFAqyKk00kmwNEVIn4yVhTh6g1u4cFQDaG+BgiNw8B34713wRiS8HiayYv6z2J8lXvvM4CFKwZQW4B0H+QewMjcjzNPBKKOL2uZ2cjVNPWy0IxTWpFlaChOVscddluUS/f1SwL2P46z0180hSZL6DMKMvr5Gk6hlUF8M+Qd67Zod6oKTjTnfJhcP6dRbTpaSU9HIg/ODjf8y7ezZo///P7IglMqGVjYe7WdBpjuhiwFoz9iChZmCCYNt5j0GTPOYxonyE7RrRWF3nL+Ka0rfQbZ1g7lPD+mcWp3MulaRtZrpZKB3oImxRdshJIDrb4R/RgoTJHUg3PAJPJkBV74mWnwY66Jpogdr9ufy32OFPLowlCujjetzaWJ4WJmbMdnPid9cPolvH57N8ecW8c7yKdw63Q8/Z+Ndo038vHG0dGT1wtU8OvlRfsr7iZu/v5mMqowxG8+An7CSJG2TJCnNwE//LgfnIcvyB7Isx8myHOfq2o8UrjOTMgSZYLBjMLbmtpwoP2H4gPpSMeGLvw+eSCMpbDFmskz4d8/A+3OF65m2Q2/NHjOglbertSvlTX1nsBQKiemB/ffDSi2qRWFRxUTnYZou+CWAUwCK5E8JdLYlu3wQGSy3MBiM+0rIQhGofrgAXvGBjxfBT78Tls8+0+CyV2DlDpi4hAPZlUxwt8PVfhgSCv8EUZfX2kC0jyOphbXodHK/D+lucNFJRFMjBeZKanWtQx/LIDD22pFlWQb6ekH+sizHAbcC/5QkyaCbg9HX12gycQmY20LK5712mZspWBLlydaTZTS1Ge5y3xeyLPPurmz8nW1YEjmICU5JsnDL1DcLnh6oZlqAE+/tzqa1w4gslnMwOAXiVrqHSZ72F0XNRbxHPM0dzaRpRNZtqeVRYqXTlEx5EiwHHyDKssyL36bzU3MVIW1t5B5PHfhBJkaH2iJRV/dGBGy4VbzfZz8BjybBnZtEfZXSJGUbDntOV/CX70+yONydxxeaatVGk1d+FcWD84OJ8nFEMUz3WRM/XxSSgnuj7+XjxR/T3N7M8u+XszFjI7Lc/5zxgoxloANkWb5UluVIAz+9mjeOCI4+YO00pADLTGHGHO85fJfzHaWNpb0PKDoubr2ngJUDKVaWTHAOw+bqt0R9xv9WiC+nigzRWHiAlXE3G7d+AywQdu2F1c0UVDUZ3H+8sBjJrJkARz+jXmOfSBLE3Apn9zDbtYnj+dVdfR36RJahNM14eWAnkTcICZjSWsiMbloPT2bCE6mwbA0krAKfqbRqdRzNrRp69qoTvwQh7So8QoyvivrWjgEzdL36FHW0EVGRByD6YY0CA1w7ZZIkeQLobw2+kWRZLtLf5gC7gMmjMviRwMIWJl0JJ78R9ubnsTTGi+Z2LdtO9X8Nnc/BbA3JhbXcPzd4cDbvxUngdc4VTZIkHlkQSkltC/87VmTUKZoCFjKpJYnJnv33thsvxLnHISFxpOQIdLQyNfNNMnS+7LBeNKTzfbAnh7WHM2m2rWRWUwv79/zEpiFmIU2MEIWJ8MU98M8o0afMKxZu/gyeSBdNodVDaP9hohdnKxt5+NPjTHC3542bYk2TfBMmxjFxHnH8d+l/meY5jb8c/gtP73l61CWD428JVpKETHAIToIAj015DK1Oy+vHXu+9s/i46EDvEY1WpyWtMo1o1xiYcjs8dEQECipfUAcbtGY/HzcbN5o6mmhs73uyn6APLgxlsWRZ5mR5LgA+dsOUCILoiYXMMov9VDe1czy/lyldT+pLoanSeIOLTrxi4anTcPf3sOhPEHYV2Hv0Oiwpv4aWdh0zz6u/GjS+8eL/lneQGB8VIBoO90VyQQ2f7D9LoIstalt935bSFMJbxMV1UjMu+oluAjotFO8Eei1YSJLkJEmSpf6+CzALGBeDN5roG6GlRjhPnkd8gBp3B0s2JQ1ugv7u7mzc7C25fqq38Q/qaIXyU73koXNCXYjxVbF6Vxbt2t61Yt0prW3hTxneWEtt3OFVOKgxjxUqKxUTnCaIOqyjH6Gsy+Ndizs5ml836HN9k1TEKz9kEB9ejo4O5pu7MM82n8c3nDAFWaONtkNYq3+0CD5aKCTbMx4U2apbNwqLdTOT+chIUdfSzsq1RzFTSHx4R5xxzqMmTJgYU9RWalYvXM3jUx5nW942bvzuxlGd/w0rwJIk6TpJkgqBBOB7SZJ+GpFReUSJyZC2feBjz8PH3oe7I+/mh7M/cKzsWM+dRcdF81oLG7Jrs2lsbzzX/0qhEIHCym3w6HGD1uzn09ULq58s1gR3O5xtLThkoA6rqKaZem1Z17iHjZM/BMwhtORbzM1g26my/o8frMHFINmfrUEhwfSgYQZYlvYiCMw/SIibHTYWZn3WYX19oohl7x9EqVCwevmUczsKDuOok/Gz9SKtMm144xkZXgUWSZJ0BrhU/zuSJMVJkvSR/pgwIFGSpGRgJ/CqLMsXV4AVNB9snCH1v712KRQSV0V7sft0ObVNxl3rqYW17D1TyYrZgYNzHyw/Bbr2XgGWJEk8ckkIhdXNfNNPoFdY3cSN7x9kW1MoOoUFwXVHjX/uMWaaxzSSyk/QtvtvELyAjsCFJOYOsPhyHgeyKnnqv8lMD1Tj73sWtZWayR5xTFGeJc7ficc3nOCbJOOygCaGQXM17H9TmFZ8cTc0VsCSv8GvT8JlL4nvABMjilYn8/iGJPI0TaxePhVftanmx4SJiwWFpGBF1ArWXL6GNm0bt22+jU9PfToqksHhugh+JcuyjyzLlrIsu8uyfNmIjMozRpgkVJ4e0sNXRK3Aw9aDVw6/glan7RwsFJ8Ab6Gw6mwwHO06yOxNN9ys+++FBWICNyPImYM5ml7/0JTCWhTmVQB42w1iNb4/YpdjVn2W27zK2D6Q9KpThuke0WPzmbJ6/vpjxoB1TgNxMLuSKG9HHK1HoJmf/0woPIqZrp1Ib0eSC3s6CWp1Mq9sPsXjG5OY7Kti08OzCPPs1jy14Aio/Ihwixk1iWB/yLKskWV5oSzLoXopYZV+e6Isyyv19w/Ishwly3KM/vbjsR31EDAzh4jrhDV0a32v3UtjvGjXyvyUbkDSex4t7Vp+91Uqjtbm3Dp9kJLaLoOL3o73C8PcCPN0YPXOLIOy2jxNIze9f4iapjY+WjEbhVcMFB3rddx4Jd4jnlZdG8m0wKI/M9XfiaKavmXL53OqpI771x0j0MWW1bfFsL9oH3N95mLmE4eisZy113sRF6DmiY1JpiDrQlFbBD/+Dl6PgK162d/Nn8Ejx4QZ0xDq6UwYx99/ymRHRjl/XBrRyw3XhAkTFweT3SbzxdVfkOCVwCtHXuGBbQ8YLiUaQcafRBDOSdaGKBO0VlrzVNxTZFZn8sXpL8TGmjxorgIvkdVIqUhBZanCz37otU9dGax+rNoBZgQ7U1LbQp6m54QmpbAWM8sqVJZO2FnYDXkcPQi7GsxtuVW5g6zyBnL7q1UqTRWOilY9bWbf3pnFu7uyyTbW6t0Aja0dnMivYeYwGsn2wC9B9G4pSSLGx5GTxXW0dQhJV21zOyvWHuX9PTncPsOf/6yc3rMHmCxDwWHwnU6kcySljaVUNg/NHtzEEIi6ETqahbPZeUT7OOLvbDOgxEyWZX77ZSppxbX8Y1kM9laDDNpLksHSUbzfz0PUYoWQU9nI96klPfZlVzRw0/sNrd0FAAAgAElEQVSHaGrr4NN7ZzDZz0m4WhYnDSnDPhZMtVCjkGWOBkwDj0jmhLpgppC46q19vL4lk6rGtj4fW1zTzN1rjmJjaca/747ndG0y9e31LPBdIGpZAevyJP599zSmmYKskUeTDd88LDJWh98TKov798Jd3wkZ4FBbe5gwiq9PFPHe7myWT/fjthmm7KAJExcUbQc0VkJtIVTnQVUOVGZBRSaUnRRz1uITwmW8Olcc297S0wW8H1RWKt5e8DbPTX+OE+Un+NU3v+Lb7G8vWDZrfAqJnUNE76PSVOCWIZ1isf9i4j3ieSvpLS4LuAxVd4ML9A2GXQ00GB4EbjYDZ7BAGF2AqMMKcLHt2p5aVIOdXR2+IyEP7MTSDqbeSeih1SxV+LPtVBgr5/TRSLU0tZc8sLG1gy3pQlp4oqCG0CFaUR/NraJDJw+//qoTvwRxm3eAGN8badOeJbO0HhtLM+79v0TyNU28dF0ky6cb+BKsLYT6EvCdToSLyNad1Jxkrs/ckRmbif7xjQeVn5AJxtzcY5ckSSyN8eKdnVmU17fgZm9YmvvxvrN8daKIJxdN4NLwvhzt+6Ekud9+P5dHeBDqZsfbO85wVZQnCoVEZmk9yz86DMh8dt8MJnnoM6I+cXD4XSg/OV4s//vFYc8/mNTewREXB1YBoe72fPngTN7ZmcW/dmTx4d6z3Bzvy71zgno08K5tbueuNUdobO3g8wcS8FJZ8+/MnViZWTHDawagEC0eio5hE3Eta+6ext1rjvLERpEtvCZ2hLLyv0RKUmDf68IgRmEOU++EmY+aJICjSHJBDc/8L4XpgWpeuDpi4AeYMGGiNzqtmH9V54qgqSZPBEbN1d1+qqC5BloHXxsMgGQGFnZi/mthK4zy7D1FH1sHL/19b3DwRLL35KZJN5HglcBz+5/jd/t+x478HTyf8DxqK/WIvvTxGWCZKYVsbQhOgp1IksSz8c+y7NtlvJ30Ns/VtYjJgFsEdW11ZNdmsyRwybCGaWtui43SZkAnwWBXW1ztLTmYreGWeJExk2WZlMJabII0+NhNHdY4enHpn6A4idfy3+fF5FAwFGC11ovVgfMmvFtPltHcrkWS4ER+DTfG+Q5pCAeyNViYKYjzH6E3rJ0rOIdC/iFiLr8PgA/25rArsxxzMwXrV07vu9ar4LC49ZlGmHoCCklBWmWaKcAaLSRJOE/ufxMaKsT/shtLY7x4a0cWm1NKuGtWb8ezfWcqeXnzKZZEevDwgpDBP7+2XbhlTr+vz0MUComHF4Tw2IYktpwsw8fJmts/Poy5mYJP700gxK1bhtlbf70WJo7/ACv/MJz8hviYy1hfnUFLRwtWSitifFV8cEccZ8rqeXd3NusO5rHuYB7XTvbmgXnB+Kqtue//Ejlb2cjau+MJ83RAlmV2FuwkwSsBa6U+EPOI6nJntbFQsubuadzzb1OQNWTyDsLef0DWVrCwF0HVjFVgP4RFBRNDpqyuhfvWJeJmb8nq5VMuipYMJkyMKQ0VYs5elg7VZ7sFVPmi/rkLSQRA1k7CjdrOTTS8t1af225uJYImhZn+VtHzd107tDZAWyO01etvG/XbGqBJA2VpcGYLtBuQwtu54+c6kTUuE1nrNou3C3ZxvOwYL8z8Iwv8FozYn2R8BlggZILpX4rU3xCzTKFOodw86WY+y/iMG7RuTPKIAqUFaUWJAMS4DX9y5GbjRkVz/xksSZJICHLmQLaow5IkiTxNE/UtrUhy5cgYXHRHaQE3/Yemf83msYo/UFc6HwePgJ7HlJ0E5F4ZrG+SivBytCLYzY4TA7kQ9sOB7Eom+6mwthhBCYt/ApzchI/KErWtBd8mFxPm6cCHd0zFx6mfwuOCI2BuA+6R2JgpCXIMGhd1WL8oopaJFfn0r3oFOqHu9kzysGdTcnGvACtf08TDnx0n1M2e15bFDC3jXJEpajoN1F9158ooT97Yepq//piBpqEVO0sln947o0fWGRAyQxsXEWBNWzH48YwWsgxbfg92HkybfC//3v1rkiqSmOE5o+uQUHd7Xr8xll8vmsBHe8+y4Wg+/zteSICzLWcrG3nz5tgume+pqlOUNpbyUOxD557DeyqcWC9WKRVm2Fgo+eSu/2/vvOOjrLI+/r2Z9BDSAyQkoUPoIYUiiAiKIoK6dl2wu2t5LVvedd31Xd2mq2vXVVxx0bWzUlRcpNmQXkLoJbQ0AgFCS5/7/nEnIUDKJJlnZhLO9/OZz8w8z53nOZnMnXnOPef8jnGy5m8qYNKguBZlCZwXaA3Z38B3z8LepUYU5uLfQfrdEBTuaevOO0orqrjnvTUcL63kPz8fcWa6uSCc79jtZnG+YIPJgqq+nahVzxQUaaLtHQeYspWIJPO7GZ4EYQnmGtUdaA2lxSaCdizP3KqjaQe3Ycv8iDvKjzPSz4/HY6J4aMlDTNLB/CYyg9Axj9epjt0UvNjBGgBr3jHebwvSIu4bfB/zsufx12P7+VfcFSgg81AmCkX/qP4tNjMmOKbRFEGA4d2jmJuZx66DJ+gRG8qG3GKUXzEau+sdLICQKHInzCDhs0noD66H+xeb8Gk11dHBWg5W0YkyvttxiLtHdSPA14dXFu/gRFkl7ZooSXv0VDmb8o7x8NhervhLTpM4Ata+izq4jSnDkygoLuWJK/sS7N+IfTkrzYWgQ7a4X1Q/vs/9vsbZFdxAh77Qob9JE6wjknTloDienb+N/YdP1ah0nSyr5J73VqM1TJuS2nxp5BqBi4YXVHxtPtw3pge/nrmBxMhg3r9raN2KYUqZNEHHQo3XsmkW5KyCSa8yJG44NmVjZf7KMxysajpHBPOHSf148OIe/OvHPXy4cj+PT0g+IwK1ZP8SfJQPozuPPv3C+FRYOc04sR36Ao5I1m0Z2HyUzK+G0Bp2LoRvnzH/p9BOcNnTMGQq+ItSnSfQWvPbz7LI3H+UN25NPVMoSTgDpdRlwEuADfin1vrps/YHAO8CqUARcIPWeo+77RRaSEWpEXXau9Tc9q+C6tZEPr4Q0we6jzFBkY4DTPZZsGtT7ZqNUmaRKigcYpPP3a81HMuj18GtfFC4mTf2z+ftkr2sPLSYN0/eQbc262BVXwwVbGiRg9Xevz0P9byBP2x8g3khgVwBZB7MpHt4d5cIS8QExdQoEjZETR3WriJ6xIaSlXMU/0ATIXJJD6w66DMgnYfnPMpLx/4Ks+6F698zoVYwKw5BESYv1cG8rHyq7JrJg+M4cKwUu4YNOUeb3Ch4efZhtIYRPVysuJTouDDc9yMPj7vLudeUnzT1DCMfqdnUL7ofc3bNoeBkAZ3adXKtjUL9DLgWFv4BDu8+p/npJIeD9cWGfH5+UXe01vxqZibbDxxnxh0ZJEWF1H1MZ8jPNPnZkd0bHXpNSjxllXYuSe5Ax7AGWjXEp8H2/5q8cW+MMlSWmfe6Q38YfDPtfGz0jepr+mE1QFS7AH5xaW9+cWnvc/Yt3reYwTGDiQiMOL2xOl0yd02NgwW4NnLd1tAats0zEau8dWZF94q/w+BbnWoPIljH69/s4rN1uTx6SS8u69+yi6u2jFLKBrwGXALkAKuUUnPPaiNyJ3BEa91DKXUj8Axwg/utFZpE2QmzKL1nKez90SwkVpUDyjhPg2+CuBTjTMX0Ad9WHOFVCsLiISwevx5jeZAHuehgFtM3vk18TN/GX98I3ptYHNvXNJet7tXUAq72CadfWRnPH/iekxUnyTqYdbr/VQuJDY6l8FRhoyokSVHBxIUF1jQc3pBTTHy0yQ1NCG1enVNj2HwUgcnjeYYpsPULWPzH0zurBS5qrTDPXp9H7w6hJHdqz+AEc9G4bl/9DX3rY3l2EYF+PjVNgV1GRBezyrt3mfOvyVsHusoILTiojlxKmqCb6f8Tc79x5jm7EiKDSUkMr1ETfP2bXczLKuCxy5MZ1TPmnPFNIj/TrK75NP5152vz4afDkhp2rgA6OxyLvLUts80qVk4zxcSX/rFGaS69YzobD23kVF056Y2QczyH7Ue2n5ufHtndqDN60fuglLpOKbVJKWVXSqU1MO4ypdQ2pdROpdRvLDfMbodNs+GNUfDRzaa4e9Ir8OBaSL9LnCsPMy8rn2fnb2Py4DgebE6t5/lFBrBTa52ttS4HPgImnzVmMjDD8XgmMFZJSNv70BoKt8IPL8I7E+CZJHjvavjhBZNaP/ReuOkj+HU2/HypWQxKudUEQVqzc1UPA2IG8MKYFwmwtfxv814Hyz/YiBo0U6q9Nj5563isuJTCsiP87offcaz8mEsdrHJ7OcfKG1Y/UUoxrHsUy7MPU1llZ2NuMRFhx/H18a1RI7SCsckdeLP0Egp63mRqYDI/MlKYhZtPy+ED+w+fYs3eI0xOiQMgPNifbjEhzXaw0pIiXV8YrJRRE9y3zGlZztoCF9X0iuyFr/L1lobD5w/hiZAwDDbNqXP3pEFxbMk/xrTvdvHc19u4anAcd406V/SiSdirzGKCq8UoHO0eyPGyflhlx03a2XfPQo9x0P20Q5TRMYNKXcm6wnVNPuw3+78BMPLstfHxMb0Fvasv2EbgGuC7+gbUWoG/HOgL3KSUavmSZV1UVcD6D+H1YfDpVNOy4Ko34IE1MGSK++oRhHrJ3H+URz9ZT2pSBM/8pGXqwucJ8cD+Ws9zHNvqHKO1rgSKAWkk5g1UlMKOhTDvV/DSQHh9KCz8P6PiN+J/4Kez4Df74O7FcOmfoPfl3pP214rw3hRBMLLKe39s+XHy1jIoegCTug9m7q65QMsaDNemphfWqULCAsIaHDu8WxSfrc3lv5sKOFlehV/AUeID4rFZ2MtkVM9o/G023g69j8e75sLcB00/qcrSM+qvqiMHkwbF1WxLSYjg2+2FTapVOnyynK0Fx/nV+LjGBzeHpBFG/MTZ2rz9qyC61xlfDgG2AHpG9JQIlidIvtIIL9SRJnjFwE788YvN/GXeVvrHt+dpV1zoHNphVITiGha4aDJB4eZzldNwyp3lHC8wCw77lpv7gizQdqNAd+mfzhiaEpuCr/JlZcFKLoi/oEmnWbx/MT3Ce5DQvo5oe3yqUYisKAG/oHP3uxmt9Ragsc9OzQq8Y2z1Cvzmhl7UJCpKYN2/YenLULwPYvvBT942jbelf5XXkHe0hLveXU10uwDe/GkqgX7yv3EnSql7gHsAEhOb35dUaISSo6YX5dYvjKhOxSkj/tXtIhj5KPS81KTLCS7DeyNYYByAY7lwsqj5x6gsNxcd8Sk8kvoIIX4hhPqF0jWshSvjDmKDnOuFBdR0gZ/2XTYApRRaVn9VTUiALyN6RPH1tiL0dTNMvv/nD5udHUyqnNaa2etySe8ScYYaX0piOIdOlJNzpMTp861wpEAO62bRakd1P6x9TqQJ1jQYzjhnV7/ofmwq2mRZgzmhHpInmvutX5yzKzY0kAt7xRAV4s+bP01zzYVOfqa5t0JOvXO6yU9392fo4HaY9XN4aTD8vTd8ehusmQEB7WHUL+HWz+DRzecU9Qb7BdM/un+jdVhnU1xWzNoDaxmTMKbuAfGpYK90STq3G3FmBb55lB4z6TYvDoR5vzQS6zd9bNJrBlwrzpUXcbKskrtmrKakvIrpt6UTLYqBzpIL1F5t6ezYVucYpZQvEIYRuzgDrfU0rXWa1jotJqaF6eDCmZSdgKyZ8OFN8FxPmHOf+Z4efAvc8h/49W646UNIu12cKwvw7ghWdQpbwQajUtIcCjeZAr24IUQHRfPnC/5MUWkRPso1vmVNBKuk4V5YYJS6EiKD2JBTTJCfjUOl+aS5oY/O2OQO/H72Rnad8KPHzR/DP8ea1dVoo/K3Jf84OwpP8KerzlRVrKnD2n+0bjW1OlieXUSQn42Brq6/qia2LwSGmcjmWT28zqFol2lg1/lcB2tU/Ci01pRUlhDsJ4pdbiOii1k42fI5jHjwnN2v3JSC3Q5hwX6uOV/+evANMunGriY+Fda/byRfI12zYNMoB7fBv64wIhZdLzS1O4nDTbTf1vh7lt4xnekbp3Oi/ITTIj/f5XxHla6qvz9Idbpk7po6FzOsQCm1EKhLheBxrXXdOajNP5dzK+wni2DFG7DyTSMN3G0MjJoOXUY2u9WIYB1Vds1DH61na8Expt+WTq8OoZ42qTWxCuiplOqKcaRuBG4+a8xcYCqwDLgWWKxlRdN6KkpgxwLY+B/YPt+kJIfGQcY90P8a830t30duoZU4WFnNd7AcTTCJNxcBY5PGusCw08QEGQfLmQgWmDTB/YdzSI73ZUd5seURLICxfWL5PbBwSyE9RveEW2fBoW01uf9z1ufi66OYMOBMRb0+HUMJ9PNh3b4jZ6QONsSy7CLSukTgZ7MoOOrjY+p4nIlgVddfJQw9Z9fFiRe7tKGc0ASSJ8GSv5j0trNkUEMDXeRYVZOfaRw6mwVfdZ0d+gm5a9zjYB3aATOuNOI/dy+G6KY7jRmdMngr6y3WFq51utH24n2LiQ2KpW9UPSVK7TuZH3A31mFprce18BDOrMBXn2saMA0gLS2t/gvEz+6GXYugz0QY9Yua3xzBO3nmv1tZuOUAT07qx0W9rauDbotorSuVUg8A8zEy7dO11puUUk8Bq7XWc4G3gfeUUjuBwxgnTLACrU2a+Lr3YPNc03w3OBpSbjHiUgnDnBJ5ElyLd7/jIVFGRrygBUIXeWtN07Pw5ku9N0SgbyDt/dtTeKrxCBacThNM6lAGYE0PrLOICw+iX1x7Fm4+YDZ0ToXBZrHJbtfMzcxjdK8YIkPOLLb2tfkwsHO400IXh06Usf3AiZq/0TKShsOh7XDyUMPj9q8w0a5oF/fjElpGn4mANvngVmK3G5Ecq6LEsf1MdCzHDf2winYZ58peBVPmNsu5AhgcMxg/Hz9W5q90anxZVRlL85YyJnFMw1H/+CHeJnTRGDUr8Eopf8zF39wWHXHcH+C+FXDj++JceTkfrdzHtO+ymTI8iakjunjanFaJ1nqe1rqX1rq71vrPjm1POJwrtNalWuvrtNY9tNYZ1fWOggs5UWjSkV9Nh3cug81zoO9kI1Lxi21G8S9phDhXHsL73/WOA1umJJi7zvzYWRgSjQ2O5WCJcxGskT1iCA30JaljKeAeBwtMmuDafUc4fLL8jO0r9xwmv7iUySl159+mJIazOe8YZZVVjZ5jRfZhAIZ1s9jBShxh7huLYuWsMumB8uXiXcQmG3nvOuqwXMrhbLOSZ5WDZfM14hlWC10c3m2cq6pymPo5xPZp9qECfQMZGDOQlQXOOVgr8ldQUllSf/1VNfGp5v0+dbjZtrkKpdTVSqkcYDjwpVJqvmN7nFJqHtSomlWvwG8BPtFat0z1ptPAFv1vBPfw465D/G72Ri7sFcMTE60RjhQEy6iqhG3/hY9ugeeTjfpfcBRMfs04VVe9ZtRjrcjaEJqE9195dhoIRTugvOm9Wyg/CQe3mKZoFhITFON0imBMaABZfxhP+9BiAOLbuaewcFxyLHYNS7aeGWmbsz6XYH8b45LrTpFISYigvMrOpryGZejB1F+F+NsYEN+wmmKLiUsB30CzWnO8oO4xJUehcEud6YGCh1HKiF3s/s78n6wif725d7WCYG3iU02EvbLMmuMf3Wecq4pTMGXOGc18m0tGxwy2Ht5KcVlxo2MX71tMiF8I6R3TGx4Y7z19wbTWs7TWnbXWAVrrDlrr8Y7teVrrCbXGnbMCL7RtthUc52fvraFrdAiv3pyCr1Wp7ILgaopzYfGf4MX+8OENJkNn2H1w/yq4c77pTRXgXF2t4B68/9ul4wAjO1zYDPXc/A3mtXHWpmvEBMc4JXJRm5zjOYQHhBPq757C2v5xYcSGBrBwy4GabWWVVczLKmB8v44E+9e92pGS6HzD4eXZRaR1ibSu/qoaX38jLZr1qVFRe3EA/OcuWPmWqbmpqjTqbmhIaOTCUPAMfa40ynPb51t3jvz1YPM33eatonO6iSwVWNBTrTgH/jXR9Cb56ewz2iq0hGGdhqHRPL/meSrsFfWOs2s73+z/hlHxo/C3NdKrKW4woE7XvAqCl5F7tISp01cS6Gdj+m3ptHd1vacguBqtjaDXJ1PNdc53z5msrhveh0e3mEbyMVIC4a14fwyxWugiP/N0Ubmz5J0pcGEVscGxHDp1CLu2O61OmHM8xy0CF9X4+CjGJndg7vpcyiqrCPC18e22gxSXVDBpcP0CFh3aBxIfHsS6fUeA+gv5Dx4vY0fhCa4Z4qa/6YZ/m8/E/hXmtvt743AB+IWYvlfK5/TKuuBdxKdCaCfY+jkMusGac+RnQod+TqnrNZsaoYvVprbRVRzLM85VyRGYMtulUbiU2BTuGnAX/8z6J/kn8vn7RX+vc6Fnw8ENFJUWNZ4eCKdrHVtXHZZwnnDkZDlT3l7ByfJKPrl3uNOquILgESpKjLz6yjeNyFtgOAy/z6jGRnTxtHWCk3i/gxWeaH68m9NjJW+dUbcKrUvN13XEBsdSqSs5XHqY6KBop16TcyKHflH9LLXrbMYlx/Lhyn2syD7Mhb1imLM+j6gQf0b1aNjmwYmNC12s2G3aW1gucFGNzc9c3HZOg+H3m5We4v2wf6XjttzIVweI9K5X4uMDfa6Ade+b9F9/F1/waG0crH7XuPa4Z9M+Htp1NEIXQ+91zTGPF5i0wJOHTLGyixcJlFI8NOQhEkMTeWrZU0z5agqvjX2NuHZnLrQs3r8YX+XLyM4jnTtwfCrsXGDee5EBFryEU+WV3DFjFfuPlPDeHRkkd2rvaZMEoW6O7odV/4S175oWM7H94MqXYMD1rv+NFCzH+1MElTJRrOYoCeaudYuaU1OaDQNU2ivJP5HvNoGLai7oEU2gnw8LtxzgeGkFC7ccYOLATo3moackhJN7tITC46X1jlm2q4h2Ab70j/PQj5dSxhkfcC1M+Bvc+x385C3P2CI4R/KVpkfHrsWuP/aRPaYXkdV95pQyTn6uC5UEv/pfE8G6daalKa5X97yaf1zyDw6cPMDNX97MxkNnpjku2beE9I7ptPd3ck7HD4GTB81ChyB4ARVVdh74YB2Z+4/y8o2DGWq1AJMgNIeCLFPm8NIg+PFl6HIBTP3CNCdPvU2cq1aK9ztYYBysA5tMbY2zlByFw7ssF7iA082GnVUSPHDqAJW60q0pggCBfjZG9ohh0ZZC5m86QFmlnUmDGxfZqK7DWt9AFGt5dhHpXSKkaFhwnqQLTOrDls9df+z8THPvhkbeNQp6J4tafqzjB4y6YtodkDis5cdrhGGdhvHehPcI9A3k9v/ezqK9iwDILs5mz7E9jElsQv/B6kjbeZomqLVG+qh6D1prHvssi8VbC/njVf25rH+nxl8kCO5Ca8j+Ft67Bt4YCdu+gmE/h4cyTQlE11GSCdDKaR1Xw50GQmUpFO10/jV568y9OyJYwSaC5WwvrJzjOYD7JNprMy45ltyjJby8aAeJkcEMcThPDdEvLgw/m2Ld/rodrMJjpew6eNJ6eXahbWHzg94TYPtXUFW/2EKzyF8PPr6mBstqOjuiTK5wLNa/b8Q/Um9v+bGcpHt4d/494d/0iujFI988woxNM1iybwmAc/VX1XTob0RFzlOhi9eW7OThj9dzqrwJC4GCZfxt/jZmrsnhobE9uWWoNX0wBaHJVFXCxs9g2kXw7iQTvRr7BDyyCcb/2WTiCG2C1uFgVatnNSVNsFrgwg0RrKgg41g4myJY7WAlhCZYZlN9XNzHOIP7Dp9i8uA4lBMrJIF+Nvp2au8QujiX5btN7xu31V8JbYfkiSaVb8/3rj1ufqbpt+Ub4Nrj1kVcihFUaWmaoN0Oa2dAl1EQ3cM1tjlJdFA0b49/m3FJ43hu9XO8ueFN+kb1pWNIE+pXff1NtsF56mAppZibmcfVr/3I7kMnPW3Oec07S3fzj292cfPQRB4e17ym3ILgUipKjdLxq6kw83YoO27qqx7OglG/gKDGF7uF1kWLHCyl1LNKqa1KqQ1KqVlKKWs+IdG9wBbQNAcrdy1EdoOgCEtMqo2fjx+RgZFOS7XnnMjBV/nSIbiDxZadS2z7QAZ1Nn2qJjegHng2KYkRbMgpprLKfs6+ZbuKCA3wpa8UDzuNUuo6pdQmpZRdKVWvPKZS6jKl1Dal1E6l1G/caaNb6H4x+AXDFhc2Ha4WuHBHeiCY3iMxyUbooiXs/sbUjqXe5gKjmk6gbyDPjX6OO/vfSUllCZckXdL0g8QPMdkD9sYbk7c17h/Tgxm3Z3DgeCmTXvmBBZsPNP4iweXMzczjqS82M75fB/44ub9Ti4iCYBnlp2DZ66a+at4vITjapAA+sMp81/sFetpCwSJaGsFaAPTXWg8EtgOPtdykOrD5mdXo/KZEsNZZ3v+qNrHBsU2KYMW1i8PmY7PYqrq5d3R3pg5Pokes8wp7KYnhnCqvYvuBE+fsW5FdREbXSKm/ahobgWuA7+oboJSyAa8BlwN9gZuUUi3vNOtN+AVBj3Gw9UsTwXEFxTlwqgg6Wdhg+Gw6p5oUwZb8DavfgaBII/7hIXyUDw+nPszMK2cytd/Uph8gPhUqTsLBba43rhVwYa8YPn9gJF2iQ7j73dU8N38bVXapy3IX8zcV8ItP1pPeJZKXbkzB5iPOleAhyk7A0pfgpYEw/zGI7glT5sJdC813vIeu/wT30aIrYq3111rr6oTz5YB1RUWdHEqCzhQRHz8Ax3LdUn9VTUxQTJNqsDxRf1XNhAGdeHJy/ya9JiXBRALX7T8zTfDAsVKyD0n9VVPRWm/RWjd2FZoB7NRaZ2uty4GPgMnWW+dmkifBiQLXKfHVCFy40cGKT4NSh7BOczh+ALbNg8E3uyetsRF6R/bGz6cZ/cPOc6ELgITIYD792XBuSEvg1SU7ue2dlRw5We5ps9o8X2Xlc//7a+kfH8Y/p6YR6CcXsIIHKAe6q7cAABkOSURBVD0G3//dNAZe8ISpTb39K7jtC+g2WoQrziNcGXK4A/iqvp1KqXuUUquVUqsPHnQu0nMGHQeappvHchsfW1N/5eYIlpMqgjkn3Ntk2BUkRAYRFeJ/Tj+s5dlu7n91fhEP1Na8znFsO4cWzy9P0utS8PFznZpgfqapiXKHwEU11Q2Hm5sm6AFxC0uI7A4BYee1gwWmbvWZawfy9DUDWJF9mImv/EBWTrGnzWqzfLEhjwc+XMeghHDevSOD9oEWNhcXhLooLYZv/2Ycq0VPmd+EOxeaRvFJIzxtneABGnWwlFILlVIb67hNrjXmcaASeL++42itp2mt07TWaTExMU23tONAc+9MmmDuWnOB1Wlg08/TTGKCYygqKaLC3rAa2vHy4xwtO+rRCFZzUEoxOCH8HKGLZbuKaB/oK80b68CZueMqWjy/PElgGHS90DhYrpC5zl8PMX3c2zskpg/4t2teFM6D4hYux8cH4lPOewermhszEvn0Z8MB+MkbP/Lxqn0i5e5i5qzP5aGP1jMkMZwZd2QQKs6V4E7KT8L3z8OLA2HJn40zdfcSuOVTS/sYCt6Pb2MDtNbjGtqvlLoNmAiM1Vb+cnToBygjadlnQsNj89aaonP/EMvMOZuYoBg0mqKSogaVt37I/QGAvlGtr5QmJTGcRVsLKS6pICzI/Igtzy4io2uU5LrXQWNzxwlygdpSk50d29oeyVfCFw9D4eaWR57yM414hjvxsRk1weZEsKrFLS7+vaut8gzxqfDDi1BRYmrsznMGJYTz+YMj+Z8P1/G//8li2a4i/nT1ANoFNPrzKzTCrHU5/OKTTNK7RDL9tnRC5D0V3EVFKayeDj88bxqs97wUxvzWLcrVQuugpSqClwG/BiZprU+5xqR6CGgHUT0aVxLU2kSw4t37Ia9WBGxM6GL2ztnEhcSR3rH1rWykJJo6rExHP6z84hL2FJ1iWLdIT5rVllkF9FRKdVVK+QM3AnM9bJM19LkCUC1PEzyWDycOuE9BsDad0+DARuNYNAUvELdwKfGpoKuaJkrUxokM8WfGHRk8ekkv5mbmMfHl79mYKymDLWHmmhwe/SSToV2jeOd2ca4EN1FZbhyrl1OMeEVsMtzxtYlYiXMl1KKlNVivAqHAAqXUeqXUGy6wqX46Dmj8R/voXig57Nb6KzApgkCDUu35J/JZlreMST0m4aNan+LewM5hKEVNHZbUXzUfpdTVSqkcYDjwpVJqvmN7nFJqHoBDQOYBYD6wBfhEa73JUzZbSrtYSBzWcrl2TwhcVBOfZuqomuJYeJm4hUsQoYs6sfko/mdsTz66ZzilFXaufn0p03/YLSmDzeCTVfv51cxMLugezfTb0gn2F+dKsBh7Faz/AF5Ngy8egfAEowo49XNIHOpp6wQvpEXfSlpr9xYMdBoImz4zYhf19bfKdV+D4drEBpsGvg1FsObumotGM7l76xSCCw30o1dsaI2S4LJdRYQF+ZHcUeqvmorWehYwq47tecCEWs/nAfPcaJrn6DMRvn4cDu+GyK7NO8bmOaavVnVzcndSI3Sxyvkf3PX/bhviFrUJ7Qjt48XBqoeMrpF89dAofjUzk6e+2MyPuw7x7LWDiAjx97RprYIPV+7jsc+yGNUzmremiFqgYDFamzYii56CQ9tMdsQVfzftRUQRUGiA1hVGqRa6KMiqf0zeWrD5G2lMNxIREIFN2eqVardrO7N3ziajY0arE7ioTUpiOOv2HUVrzfLsw2R0jcRH6q8EV5A80dxvbWYU63gBZH0KKbealGJ3E9oRwhKcF7qw22FNGxG3OJvU26Bz60uDdhcRIf68NSWNJyb25dvtB7n8pe9Z4cgIEOrGbte8uHA7j32WxUW9Y8S5Eqxnz1J4+1L4+BbQdrj+XbjnW+h5iThXQqO0rrh6tYP1zTMmVFtxynTJrjhllFwqTpkmox36g697VwNtPjaigqLqlWpfc2ANOSdyuG/wfW61y9WkJIbz0ar9LN1ZxL7Dp7htRBdPmyS0FSK6mMhT1kwY/kDTf8BWvmWiQUN/Zol5ThGfCjlORm6yl5iU5rFPWGuTJxj9a4+dWil1HfAHIBnI0FrX6fEqpfYAx4EqoFJrneYuGx3n546RXUnvEsmDH67lpreW89DYXtw/prs0bT+LU+WV/PLTTOZlFXDNkHj+es0AAnzFuRIsoiALFj4JOxdAaBxc+TIMvgVsreuSWfAsrevT0i7GrPYe2GQuTPyCjRSzX4ip4fALNqum/a/xiHmxQbH1pgjO3jmbEL8QxiW1VFjOs1QLXfzj250A0mBYcC1pdxo1wR1fQ6/xzr+u/BSsftuIZUR1t86+xuicBptnw4lC853UEGv+1bbELbyHjcA1wJtOjB2jtT5ksT0NMqBzGJ8/OJLfzd7ICwu3s3DLAZ69biB9JPUagLyjJdz97mo25x/j8QnJ3DWqK0qiB4IVHN4NS/5iMiEC28O4J2HovaKGKjSL1uVggemG7aXEBMeQcyLnnO0nK06yYO8CJnSdQJBv656o3WPa0S7Al6U7iwgP9qNPx1BPmyS0JVJuhaUvwuI/Qo9LTF8lZ8j80NRmDr/fWvsaI75Ww+GG2klUi1sM/VnbEbfwErTWW4BWdREeGujHizcM5pK+HXhiziaufOUHHhjTk/vGdMfvPI5mrdl7hHvfW0NZRRXTp6Yzpk8jixaC0BxOFsF3f4NVb5uWGxc8BCMfrr/WXxCc4Pz95raA2OC6I1hf7/maksoSrupxlQesci02H8WghDAAhkr9leBqbH5w0WMmRWOLk4r0djssf90I2yQOt9a+xug0CJTNRKcKsupvnNwWxS1aHxr4Wim1Ril1T32DlFL3KKVWK6VWHzzYcBuOlqCUYuLAOBY8ciGX9e/ECwu3M+nVpeetnPvMNTncNG05IQE2PrtvhDhXguupKDFNgl8eDCunGTXX/1kHlzwpzpXQYsTBciExQTEcLTtKWVXZGdtn7ZxF17CuDIrxQG8eC0hJMF88wyU9ULCCAddBdG+TqmGvanz8jq+haGfz6rZcjX+wSSnZuRDeGAmvppu/o3Dr6TFtWdzCTSilFiqlNtZxa4pE60it9RDgcuB+pdSFdQ3SWk/TWqdprdNiYmJcYn9DRLUL4JWbUnjzp6kcPF7G5NeW8tz8bZRVOjEX2gBVds2fv9zMLz/NJK1LBLPvu4CeHSRTQnAh9ipY9z68kgqLnoSkC+Dny2DSy9A+ztPWCW2E1pci6MXUlmqvVgrcU7yHdYXreCT1kVaVstIQo3vH8Nb32YzuLSuKggX42GDMb+HTqSYXftCNDY9f9qqRBe/rJe0PLvsrjPqFkYzfNAu+/Rt8+wzEJJv60JCYtitu4Sa01i0uZtVa5zruC5VSs4AM4LuWHtdVjO/XkaFdI3nqi828umQnX28u4NlrBzEoIdzTplnGkZPlPPrJepZsO8iU4Un8fmLf8zpFUrCAnQthwf+ZpvBxQ+CaadBlpKetEtog4mC5kOpmwwdLTjtYc3bNwaZsXNmt7RSyp3eJZOOT4+WHT7CO5ElGUfCbv0L/n5jUwbrIz4Q938MlT9U/xhOEREP6neZ2/MBpZ2vJXwAt4hYeRikVAvhorY87Hl8KPOVhs84hPNif568fzMSBnfjtZxu5+vWlXJ+WwKOX9CK2faCnzXMZWmvmrM/jqS82c6ykgj9d1Z9bhyV52iyhLZG/ARY8YdRbw5Pg2unQ7xrPZz0IbRZxsFxIdQSruhdWlb2KuTvnMjJ+ZI3z1VYQ50qwFB8fuPj38MH1sO49SLuj7nHLXjcqokOmute+phDaAYbeY27H8mDL5xDZXcQtLEIpdTXwChADfKmUWq+1Hq+UigP+qbWeAHQAZjmyCnyBD7TW//WY0Y1wcZ8OfP1oJC8s2M6/l+9lzvo87r6wG/dc2I12Aa37Z3xf0Sken53F9zsOMTghnL9eM4DkTqKg6K0opSKBj4EuwB7geq31kTrGVQHVTUv3aa0nucvGMziWB4v/ZFr7BIXDZU+b3xP5/hUspnV/M3sZsUGnUwQBfsz7kcKSQh7r8ZgnzRKE1knPS6FzBnz7LAy6GfzOWrE/lgcbZ0L6XeaHszXQPs7UaAmWobWeBcyqY3seMMHxOBtoVUWx7QP9+L8r+3HbiC78bf42Xl60gw9W7OWhcb24MT2h1S16VVbZefuH3bywcDs2pXhyUj9uHZaETYSTvJ3fAIu01k8rpX7jeP6/dYwr0VoPdq9ptSg7AUtfgh9fAV0FIx40qdut5bdCaPW0rm9kLycsIAw/Hz8KS0wEa/bO2UQERDC682gPWyYIrRCl4OLfwfE8WD393P0r3zLFyp5sLCwIbiYpKoTXbh7CrPtG0C26Hb+fvZHxL37H/E0F6PpUK72MDTlHmfTqUv761VZG9ohhwaOjmTqiizhXrYPJwAzH4xmAd8kj26uMiNArQ4z0eu/L4YFVcOkfxbkS3IpEsFyIUqpGqv1o6VGW7F/CDb1vwM+bakMEoTXRbTR0vRB+eB6GTIGAdmZ7+UnjdCVPhMiunrVREDxASmIEH987jIVbCnn6qy3c+94a0rtE8POLujO6V6xXOivFJRW8vGgH7yzdTXS7AN64dQjj+3VsMwJQ5wkdtNb5jscFmHTbughUSq0GKoGntdazLbds50L4+vdQuBkShsIN70NCuuWnFYS6EAfLxcQExXDw1EG+3P0lFfaKNtH7ShA8ysW/h7cvgZVvmhQPMPn0pUeNNLsgnKcopbikbwfG9I7hk9U5vLhwO3f8azXx4UHckJ7ADekJdPACMYzNecd4b/keZq/Lo6SiiluHJfLry/rQPlAWH70RpdRCoGMdux6v/URrrZVS9YVNk7TWuUqpbsBipVSW1npXHee6B7gHIDExsXkGH9gMX/8Odi2CiC5w3QyjKiuOu+BBxMFyMTHBMew8upM5O+eQHJlM78jenjZJEFo3CRnQc7zJp0+7EwLam8bC8almlVIQznN8bT7cPDSR69I6s2DzAT5YsY/nF2znpUU7GNsnlpuHJnJhzxi3NoYvr7Tz300FvPvjHlbvPUKgnw+TB8UzZUQS/eLC3GaH0HQaaoOglDqglOqktc5XSnUCCus5RnUbhGyl1DdACnCOg6W1ngZMA0hLS2tajuuJQljyZ1j7LgSEwqV/hoy7RcBC8ArEwXIxscGxLNq3CLu289uhv/W0OYLQNrj4cXjzQlj2GsSlwOFsuPYdWaEUhFr42XyYMKATEwZ0Ys+hk3y4ah8zV+fw9eYDdI4I4qaMRMb360C36HaWOVsFxaV8sGIvH6zcz6ETZSRGBvO7K5K5LjWBsGCJWLUB5gJTgacd93POHqCUigBOaa3LlFLRwAXA31xmQUWJ+S344QWoLIWMe2H0ryE40mWnEISWIg6Wi4kJisGu7fj5+DGh6wRPmyMIbYNOg0zKx/LXIaoHhCWYXlmCINRJl+gQHrs8mUcv6cXXm0xU69n523h2/jbCgvxISQwnNTGC1KQIBiWEE9IMufeKKjs7C0+wMbeYTXnHyMotZv3+o9i1ZkzvWH46PInRbo6cCZbzNPCJUupOYC9wPYBSKg34mdb6LiAZeFMpZceIqT2ttd7c4jPb7UY5duGTcCwH+kyEcU9CdI8WH1oQXI04WC6muhfWxYkXExYgaRCC4DLGPG56SOWvN6kgNvn6EoTGCPC1ceWgOK4cFMe+olMs313Eun1HWLP3CN9sMy1FfBT06die1KQI4iOC8LP54G9T+Nl88LX54GdT+Nt88LP5cPBEGRtzi9mYd4wt+ccor7QDEOxvo19ce+65sBs3pSeSGBXsyT9bsAitdREwto7tq4G7HI9/BAa49MR7l8H830LeWrPgds2b0GWkS08hCK5ErlBcTNcwo2h2ba9rPWyJILQxYnrDoJtg6xcw5KeetkYQWh2JUcEkRgVzfVoCAMWnKli3/whr9x1l7d4jfLY2h5PlVY0eJzTQl/5xYUwdnkT/+DD6x4fRJSrEK5ULhTZAaTG8f62pv73qDRh4g2lGLwhejDhYLqZ/dH8WXruQDiH1KZcKgtBsJr4A4/4AgRIdFoSWEhbsx0W9Y7mot8m8sNs1ZZV2yqvsVFTfKnXN88oqTfsgXxIjg0VaXXAfgWFwy6fQaTD4S2RUaB2Ig2UB4lwJgkX4BkC7WE9bIQhtEh8fRZC/jSBsnjZFEM4kaYSnLRCEJiExVkEQBEEQBEEQBBchDpYgCIIgCIIgCIKLEAdLENyMUuo6pdQmpZTdIW1b37g9SqkspdR6pdRqd9ooCIIgCIIgNA+pwRIE97MRuAZ404mxY7TWhyy2RxAEQRAEQXAR4mAJgpvRWm8BRIVLEARBEAShDaK01u4/qVIHMR3A6yMa8MZVe2+1C8S25tCYXUla6xirTq6U+gb4paNBY137dwNHAA28qbWe1sCx7gHucTztDWyrZ6i3/i9AbGsO3moXeHh+WUEr/u0C77XNW+2C1mtbq5tb0Krnl7faBWJbc3DJb5dHHKzGUEqt1lrXW5viKbzVLhDbmoOVdimlFgId69j1uNZ6jmPMNzTsYMVrrXOVUrHAAuBBrfV3LbTLK/8XILY1B2+1C7zbNqvw5r/ZW23zVrtAbPM2vPVv9la7QGxrDq6yS1IEBcECtNbjXHCMXMd9oVJqFpABtMjBEgRBEARBEKxFVAQFwQtRSoUopUKrHwOXYsQxBEEQBEEQBC/GWx2semtNPIy32gViW3PwiF1KqauVUjnAcOBLpdR8x/Y4pdQ8x7AOwA9KqUxgJfCl1vq/Lji9t/4vQGxrDt5qF3i3bVbhzX+zt9rmrXaB2OZteOvf7K12gdjWHFxil1fWYAmCIAiCIAiCILRGvDWCJQiCIAiCIAiC0OoQB0sQBEEQBEEQBMFFuNXBUkpdppTappTaqZT6TR37A5RSHzv2r1BKdam17zHH9m1KqfEesO1RpdRmpdQGpdQipVRSrX1VSqn1jttcD9h2m1LqYC0b7qq1b6pSaofjNtXNdr1Qy6btSqmjtfZZ9p4ppaYrpQqVUnWKQijDyw67NyilhtTaZ9n7ZTUyvyyxyyNzy0nbZH65EW+dX946t5y0TebXuec97+aXt84tJ22T+dV0u86PuaW1dssNsAG7gG6AP5AJ9D1rzH3AG47HNwIfOx73dYwPALo6jmNzs21jgGDH459X2+Z4fsLD79ttwKt1vDYSyHbcRzgeR7jLrrPGPwhMd9N7diEwBNhYz/4JwFeAAoYBK6x+v6y+yfyyzC63zy1nbTtrvMwvC2/eOr+8dW41wTaZX+ee67yaX946t5pgm8yvJtp11vg2O7fcGcHKAHZqrbO11uXAR8Dks8ZMBmY4Hs8ExiqllGP7R1rrMq31bmCn43hus01rvURrfcrxdDnQ2YXnb5FtDTAeWKC1Pqy1PoJpVnuZh+y6CfjQReduEG2a8R5uYMhk4F1tWA6EK6U6Ye37ZTUyvyywqwGs/qzI/PIuvHV+eevccsq2BpD5VT9tbX5569xyyjaZXy22q83OLXc6WPHA/lrPcxzb6hyjta4EioEoJ19rtW21uRPj5VYTqJRarZRarpS6yoV2NcW2nzhCmjOVUglNfK2VduEImXcFFtfabOV71hj12W7158xKZH5ZZ5e751aTji/zyy146/zy1rnVFNtkfjWNtja/vHVuOWtbbWR+ydyqwdelpp0HKKVuBdKA0bU2J2mtc5VS3YDFSqksrfUuN5r1OfCh1rpMKXUvZqXnYjeevzFuBGZqratqbfP0eyZ4IV44v7x9boHML8EJvHBugcwvoY0g86tZtOm55c4IVi6QUOt5Z8e2OscopXyBMKDIyddabRtKqXHA48AkrXVZ9Xatda7jPhv4Bkhxp21a66Ja9vwTSHX2tVbaVYsbOSsEbPF71hj12W7158xKZH5ZYJeH5lZTjy/zy3q8dX5569xyyjaZX82irc0vb51bztom86uJdtWibc8tbVEx2dk3TLQsGxMOrC5863fWmPs5s5DxE8fjfpxZyJiNawsZnbEtBVO41/Os7RFAgONxNLCDBgr6LLKtU63HVwPL9enCvN0OGyMcjyPdZZdjXB9gD46m1u54zxzH7UL9hYxXcGYh40qr3y+rbzK/2s7cctY2xziZX264eev88ta51QTbZH7Vbd95M7+8dW41wTaZX020yzGuzc8td0+kCcB2x4fxcce2pzBeP0Ag8CmmUHEl0K3Wax93vG4bcLkHbFsIHADWO25zHdtHAFmOD1EWcKcHbPsrsMlhwxKgT63X3uF4P3cCt7vTLsfzPwBPn/U6S98zzIpIPlCByZW9E/gZ8DPHfgW85rA7C0hzx/tl9U3mV9uZW87Y5ngu88tNN2+dX946t5y0TebXuXadd/PLW+eWk7bJ/GqiXY7nbX5uKccLBUEQBEEQBEEQhBbi1kbDgiAIgiAIgiAIbRlxsARBEARBEARBEFyEOFiCIAiCIAiCIAguQhwsQRAEQRAEQRAEFyEOliAIgiAIgiAIgosQB0sQBEEQBEEQBMFFiIMlCIIgCIIgCILgIv4fy4OQBEQeAS4AAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,3))\n", "hs = hs=[0.05, 0.1, 0.5, 1]\n", "x = np.linspace(0, 1, 20)\n", "for i, h in enumerate(hs):\n", " plt.subplot(1,4,i+1)\n", " for j in range(3):\n", " plt.plot(x, stats.multivariate_normal.rvs(cov=gauss_kernel(x, x, h)))\n", " plt.title('h = %.2f' % h)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple example of sampling from a GP model" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n = 20\n", "x = np.r_[np.linspace(0, 0.5*np.pi, 8),\n", " np.linspace(0.5*np.pi, 1.5*np.pi, 4),\n", " np.linspace(1.5*np.pi, 2*np.pi, 8)]\n", "y = np.sin(x) + np.random.normal(0, 0.2, n)\n", "plt.plot(x, y, 'o')\n", "pass" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "X = np.c_[x]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as gp1:\n", " h = pm.Gamma('h', 2, 0.5)\n", " c = pm.gp.cov.ExpQuad(1, ls=h)\n", " gp = pm.gp.Marginal(cov_func=c)\n", " ϵ = pm.HalfCauchy('ϵ', 1)\n", " y_est = gp.marginal_likelihood('y_est', X=X, y=y, noise=ϵ)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [ϵ, h]\n", "Sampling 4 chains: 100%|██████████| 4000/4000 [00:10<00:00, 364.56draws/s]\n" ] } ], "source": [ "with gp1:\n", " trace = pm.sample()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace)\n", "pass" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 100/100 [00:05<00:00, 17.41it/s]\n" ] } ], "source": [ "xp = np.c_[np.linspace(0, 2*np.pi, 100)]\n", "\n", "with gp1:\n", " fp = gp.conditional('fp', xp)\n", " ppc = pm.sample_posterior_predictive(trace, vars=[fp], samples=100)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(xp, ppc['fp'].T, c='grey', alpha=0.1)\n", "plt.scatter(x, y, c='red')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Utility plot showing percentiles from 51 to 99" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.subplot(111)\n", "pm.gp.util.plot_gp_dist(ax, ppc['fp'], xp, palette='cool')\n", "pass" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.0" } }, "nbformat": 4, "nbformat_minor": 2 }