Created
March 21, 2019 06:08
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import warnings\n", | |
"warnings.filterwarnings(\"ignore\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"import autograd.numpy as np\n", | |
"import autograd.numpy.random as npr\n", | |
"import autograd.scipy.stats.multivariate_normal as mvn\n", | |
"import autograd.scipy.stats.norm as norm\n", | |
"\n", | |
"from autograd import grad\n", | |
"from autograd.misc.optimizers import adam\n", | |
"import arviz as az\n", | |
"import scipy.stats as st" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def black_box_variational_inference(logprob, D, num_samples):\n", | |
" \"\"\"Implements http://arxiv.org/abs/1401.0118, and uses the\n", | |
" local reparameterization trick from http://arxiv.org/abs/1506.02557\"\"\"\n", | |
"\n", | |
" def unpack_params(params):\n", | |
" # Variational dist is a diagonal Gaussian.\n", | |
" mean, log_std = params[:D], params[D:]\n", | |
" return mean, log_std\n", | |
"\n", | |
" def gaussian_entropy(log_std):\n", | |
" return 0.5 * D * (1.0 + np.log(2*np.pi)) + np.sum(log_std)\n", | |
"\n", | |
" rs = npr.RandomState(0)\n", | |
" def variational_objective(params, t):\n", | |
" \"\"\"Provides a stochastic estimate of the variational lower bound.\"\"\"\n", | |
" mean, log_std = unpack_params(params)\n", | |
" samples = rs.randn(num_samples, D) * np.exp(log_std) + mean\n", | |
" lower_bound = gaussian_entropy(log_std) + np.mean(logprob(samples, t))\n", | |
" return -lower_bound\n", | |
"\n", | |
" gradient = grad(variational_objective)\n", | |
"\n", | |
" return variational_objective, gradient, unpack_params" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
" # Specify an inference problem by its unnormalized log-density.\n", | |
"D = 2\n", | |
"def log_density(x, t):\n", | |
" mu, log_sigma = x[:, 0], x[:, 1]\n", | |
" sigma_density = norm.logpdf(log_sigma, 0, 1.35)\n", | |
" mu_density = norm.logpdf(mu, 0, np.exp(log_sigma))\n", | |
" return sigma_density + mu_density" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Build variational objective.\n", | |
"objective, gradient, unpack_params = \\\n", | |
" black_box_variational_inference(log_density, D, num_samples=10000)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Set up plotting code\n", | |
"def plot_isocontours(ax, func, xlimits=[-2, 2], ylimits=[-4, 2], numticks=101):\n", | |
" x = np.linspace(*xlimits, num=numticks)\n", | |
" y = np.linspace(*ylimits, num=numticks)\n", | |
" X, Y = np.meshgrid(x, y)\n", | |
" zs = func(np.concatenate([np.atleast_2d(X.ravel()), np.atleast_2d(Y.ravel())]).T)\n", | |
" Z = zs.reshape(X.shape)\n", | |
" plt.contour(X, Y, Z)\n", | |
" ax.set_yticks([])\n", | |
" ax.set_xticks([])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Optimizing variational parameters...\n", | |
"Iteration 49 lower bound -1.0460029972400517\n" | |
] | |
}, | |
{ | |
"data": { | |
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+8xCu7n/PFEEFJTWsXHeMbfsy0BvM+Pu4MrR/J/p2C2f9F/tIOnCam6cPYObscX8oB7XNJnD4eC4/bkjmWOpZJGIRCfFhDOvfkQG9IvH3cbuq12GzCWTnlXMg8Qy7DmWRX1SDUiFlzJAuTL6xFxEhf+ylW1Wu4bVnlpNzqoSZc8Zx292DGrep63QcTs5l79EcjhzPw2S2EhHixa3jEpg4Ih7l3zTu/eDOU7z+7AqGTejGC2/ecU1eUNc0fDIlMZd5j31HWKQvb3/xQJs7sv8Zistq+Wz5PnYdykImkzLqhljGD4uje+cQGjR65s36lpxTJTz+75uYOLnvFR/XZhPYeTCLb1YfIr+oGj9vVyaN7sbEEfH4erdN9I4gCGTklLFuWypb92VgMlm4oU8UM6fdQFS47xUfx6A38d5La9i//SSTHxjM/U+PafGQ12sN7D6UzfrtaZw6XYqHm4q7b+vHbeMSLjmFdj1yZG8W/3lmOdGxQbzz1YPXLHLwmic4OLY/m1efWk6n+GDeWHLvdR8LbTJb+HLlQX7ckIREIuLOib2YfGNPPN3tFvva6gbmPvw1xWer+fe7UxgwvPMVHzslo4iPv9lNRk4ZkWE+zLilLyMHxSC9hknq1HU61m45war1SWj1RsYM6cJjdw/Bx9Pliva32Wx8vGA9G1cnMmlafx6bO/GSLVdKRhHfrD5EYspZQgI9ee6hkfTtEXEVr+avIeVoLi8//h3hUX68tfSBa5o59JoLGuyx0f/3rx/p0NGfBUvuxcP7yh6WtqZK3cC8d9eRnlXChOFxPDx9MD5eTXWtr9PxwoNfUVJQzfyPZtCzf/QVHVdTr+eTZXvZsCMNP29XZk4bxJghXf5QSKPJYiGvQk1ZbT3ltfXUG0zoTWZsNgGZVIJKJsXL1QkfV2fCfT0I9HC7qOW8tTp+v/YoqzckI5dLmDntBm4bl3BFxxAEgS8WbmbNdwe49a6BPPz8+Fa7o4eP57H4610UlNTw8PTB3HVr3+t2fL1/+0ne/tePBIZ58+5XD17zqdjrQtAAifuyeWP2CvwCPXjzs/vwDbi4JfVakZNfyfML1lCvNfDSk+MZPiCm2XaD3sSLD39NzqkSXvv4bnoOuDIxHz6ex5sfb6JOo2fKTb25f/IAVMrLG7dqGnQczi7g6JlCUvJLyauowfq7ta1EIuzhkxdZ80oll9I5xJ+eHYLoGx1K78gQZFfQEygsUbPoix0cTcknIS6Ul54cT4Dv5cfzgiDw+bub+OX7g1cUnGMwmnnrky1s35/JqBtieemJ8dddF3z7+uO8//LPxHYL5bXFd10XdqDrRtAA6Un5vPLEMpROcl796C46xV0fAQCaBgP3zf4WwSbwzku30TGiuduqzWZjweyVHNqVwb/fm8oNo+Iue0yL1cbSH/azfO1RIsN8ePmpCXTs0Lo7bL3eyG/JmWxJySY5txibIOCilJPQIZjYYF86BvgQ4u2On7sL7k5KFFL7UjtWmw29yUxNg57yugbyK2o4U15N6tkyMooqsNhsOCvkDOncgZv7dKF/pzAkrbifCoLAxl3pfPDlTqRSCa88NYEBvSIve802m433X/6Z7etPMPv12xh9GS8qQRD4/pejfLZ8H1Mn9eaJe4dd9hxtgSAIfP/JTpZ/tose/SJ59cO7rpsMtNeVoMEeOjj/qe+pq9Hy0sKp9B0cc/md/mJeXbSBXYey+ezN6cRGt4wNXvbfHSz/bBcPPz++mTX3UtRrDcxfuIGjKfncPKY7T903DEUrlt2Cqlq+2pXIxuRM9CYLUf5ejOrWkWFdIukc4teq+C6HzmjmaE4Bu0/lsiM1h1qdgQAPV+4anMAd/bvi3EpvobislpffW8fp/Aoeu2sI027uc9muscVsZd5j33Ly+Fne/upBunS/fHDHe59t49dtKXwwfzK9ul7bYBCz2cKHr65l+/oTjL45gSdfvhn5deQsc90JGqC6sp75TywjN6uUB54Zy+33DrpmY6hjqWd55rXVPDRtEPfdMaDF9qP7snjl8WWMuaUnz75262XrWVFdz+zXf6KgRM3zD4/mxlGXDn4vVWv4ePNBNiRlIpOImdizM5MHdiUu9K9JOGCyWNhzKo+VB1I4mlOIm0rBQyP7MmNwD+TSiz+0eoOJNz/ezK5D2dw8pjuzZ4667LhaU6vj6elLMBotfLL6icsmutAbTDzw/DIEm8APix/8Q2P/q0ltdQNvzF5BevJZ7n58JNMfHnbdje2vS0ED6HVGFr78M/u3nWTUTT146pWbr0le7tc/2siBY2dY9+VjyH+XSqa6sp5Zd3yMl68rHy5/5LL1K6uo48n5P1JXr+fNF26md7fwi5YzWSx8uzuZpTuOYLMJTBnUnfuH9cbHrfmDbzBbKKmpo7hGQ6VGS6VGS61Oj0ZnQGs0ozOYMFmtjRFXEokYqViMQiZFJZfiqlLgrlLi5eqEr6sz/h4uhHh74OvqTHphGUu2HmZ/Zj4h3u7MvWUYQ7tcvFstCAKfLd/H978cZezQLrz4+DiklzHo5WaV8vT0T0kYEM1ri++6rDA27z7JG4s38cmCaXSLbfuh2JnMUl57+nvq1DqeefUWhk/o3uZ1uBKun77C71A5KXjpvan88Plulv13B4V5Vcx7fyq+AR5tVgebTeDAsTMM7hPdQsyCIPDB/F8w6E3MfXvyZcVcUV3Pk/NXUa818sH8O+nSMfCi5U6XVvGv5Zs4XVrFqK7RPD9pKEFeblRptOxIyyG9sIyskirOlFVTotYgICDIwKoAm1xAJBcjyARsIrAhgMgeNilBjNwqQWEVozBKkZpFCDobDVoTlt8FgyikEiL9vYkK8OLOAV05mHWWJ778lZt6debFW4fjqmo+tSgSiXj0riGolHKWrtiPxWJj/jMTW21JI2MCeWj2OJa89Ru//XiUG6f0a/X+De4bjUwqYf/RnDYX9O5NqSya/wuu7ire++ah6zq5w3UraLA/KDMeGU5EtD8L563hiSmfMPftKST0j2qT8zdo7WGKFzNWbV93nMT92Tw2dyLhUZcxZmkNzH79JzQNBj58dTKxURfvMv94KJV31u7GWango/snoZRL+XZPEodPF5BbXgOAVCwm3M+DoGA3nMIU5Glr0ZjtUVDuCiXRXl6EuLnjpVLhIpcjEYkxWa00mIyUNTRQpKnjdE01ZrENFNCloy9DwiIYFBiGYIbimjoKqmo5U1bN0dOFVGjsy7RKRCLWJ2WwNyOPBVPHMjSuZWt97x39EYtFfLZ8Hz6ezjx5f+uW7EnT+nNkTyZfLtpCv6Exrb6snZ0UBPm7U1JR1+oxryYWs5Uv3t/M2uWH6JIQxkvvTcPbt+1T8/4RrmtBn2fQyC6ERfry+nMreOmxb3nw2bHcdvfAv3z8UltvX5XQ7XcxvurqBj57ZyNxCeHcNLX1lsVisfLSO79SWKrm/Xl3XFTMFquNt9buZtXBFBIiggj39eSVVVup1RlQyqT0igzmlj5xxIf5k6ap4If0FFLVBTjLZAwJ78CIDpH0DgwmzN39iu6JyWols6qSA4Vn2Z2fx2fJiXxKIjeEhjOrTz8mD+jWeJyKugbSCso4llvErvQzFNdoeOKrXwn2cuP+4b25sWfnZoazu27tS7Vay6oNSfj7ujH5xl6XrIdIJOKpl2/mkdsW8/GCDby2+K5W6+3mqkJTr2+1zNVCXd3A/72witTEPG69ayAPPjv2D7nuXiuu2zH0xdBpjbw3bw0Hd5xiwPDOzHnj9r/UK6esUsMdj37O84+M5uYxTWOmxa+vY/Mvx/h0zZOEdmjdFfLjb3ezct0xXnpiHOOHx7fYbrJYmPPdRnadPEOQpysl6npkEgmjukUztnsnBsaEo5BJWX0qnY+OHKK0oZ4e/oHc1a0746M7oZL9ebtCsUbDmoyTLE9LoVKnpU9QMC8NHkY3/5Yvn7SCUuZ8t5EStT0DqZNCxvQbenDfsN64O9n/FjabwLz31rE/MYcPX51MQlxoq+df/fU+vly0hTeW3EvvQZdOfPHA88vwdFexcN4df+JqL0/asTzefGEV2noDT71yM6PaOKb5z/C3EjTYx66/fH+QLxdtITDEi3nvT/vL0t9YrTZGTPuAaZN68+hdQwB7PPesO//LjVP6Mmvuja3uvz/xDHPf+oVbxnZnzsOjW2w3WSw8tnQtR3MKAfByUXH3kJ7c1i8eLxe7k8Lp6mrm7tjC8bJSuvsHMHvADQwKDftLeicGi5lVJ9P4b+IRqnU6pnftzgsDB+OqaD5mNpgtPPfNevZl5tM52I+M4gpclQpmje3P9Bvs3mNanZEHX/gevcHENwvvaXSNvRgmk4VHbv0ImUzCkp+euOR6zOPv/ZiRg2Iuei+vBoIg8OsPh1m6cBMBwV7MWzj1b5fCWPLqq6++eq0r8UcQiUR07h5G114R7Fh/gvUrj+Dt50ZU7MWNTH8GsVjE7oNZ1GsNja3r4tfXUVVexyuLZrTqgK+p1zP7jZ8ICfTkjTmTWrhx2mwCD326hmNnipBKxMwaO4B37ppAv45hqOT2465MT+WR335FZzbx5ojRzB86gnAPj4uK2SrYyKgtZX9FDhsK0/i1MJWfz55gbUEKW0sy2FeeQ7amnEpDAy5SBa6ylj0bqVhCj4BApsR1w2C1sDwthU05p+kXHIKPU5MgpRIxo7t35HRpNYlninh6wiCsgsCKAymkF5YxMCYcd2cVPbqE8tNvyRSX1TJi4KX9CSQSMb4B7qxfeYSgMG8iY1r+LQtKaljxayLjh8df0qD4Z9DWG3hr7mp+WXaQvoNjeOOTe/ALajsD7NXibyfo8/gHeTLixh5kpRay9vtDqKsaSOgfecm3+/9KWaWGHQeymHJjLwpzK/j07Y1Mvn8IfYe07vDy3ufbOXW6jHf/fRt+F4mSmvnpGhLPFOHt4sTyp6YyunvHRtdLk9XKy7u28+HRQwwMDeO7W++kV2DLtYgtNhu7SrNYnLGb105sYFnuUXaWZnGytpR6swGzzYpFsFFj1HJaU8musmy2lmTw7ZnDrCtMpVhbi4/SBR9lc995hVTK0PAO9A8JZV12Bt+lniDY1Z1Yn6bhhUQsZmTXKJLzStiQlMmrk0cRFxrA6kOp/JacyQ2xEUSF+CCRiPlp43Giwn1aDcEM7eDDwZ0ZpCbmMXFy3xYW8q17MzhyPI/nHhqJ61XOW5afU86LD39DZmohDz03lsfmTvzbLl38t+ty/x6rxco3i7ez+ut9RHcOYt7CqQSEeF214584WcgTr6zilacncGLzSQ7vyuS7LXNaDfVMzSxm1ksruPu2fjwyY3CL7e+u28N3e5IJ9nLjl+fvaWyRAYwWC7M2rmdXfi6zevfj2f4DW3iCmawWfshL5Nucw5TpNfgonBns35FBfpHEeQYR6uyJRNRyHlhvMZPbUEVS1VkOVeZxoDwHs2AjwSuUJzoPY4BvhxYvjUqdlqc2beBIcRGvDx/FjK7N51/rdAZmfLgCrdHE6tl3UVHXwGNL16KSS1nx9HRclXJmzl1OXb2eFR890KpH3N4tabz5/Cpe+WA6A0c0z93++LyVqOt0/LD4gUvu/7+w7ddkPl6wHidn+zRpfK+Iq3r8tuZv20KfRywW03NANFGxgWxbm8zGnxIJj/YjJMLnqhzfz8eNbfsyyM2r5OT2TMbe1otBIy/tq22zCcx791fEYjGvz7mpRejjvow83vxlFyq5jI0v3o+ToslCfKGYF4wYzSO9+iC+QGCCILCp+CSPH1nJ5uJTxHkEMrfrWF7tcSOjgzvTyd0fD7lTs30uRCaW4Kd0pbtXCDeGdmVaZF/8lC7sq8jhh9xEEqvO0s0zGC9FU/faWSbnpk6xZFRW8tWJJNwVSnoENHV5lTIpvaNDWbH/BJnFldw3rDe9o0L4Yf8JTpwtZVLvLnQI9ean35JRyGX06BJyyXsXEuHD9nXHKTpb3czPO6+wiiXf72XGLX3oepXmoE1GM4vfWMeyT3YSnxDOm5/fT3g7SEX8txf0eUI7+DJ4bDzHD5/h5+8OYDZZ6NY74k8vGC8SiTBZrGz7OQlRg5nZr9/Waojc7sPZrP4tmWcfGtnC71sQBKZ98AMmi5VvZk0m1Mej2bY52zez5cxU9/vgAAAgAElEQVRpFowYzbT4bs321ZqNvJS8jo8zdxPi5MnbvW/lyS7DiXT1uaSAL4dSIqO7VwjTO/TBR+HCxqKTLM89iqtMQVfPpi6+VCxmXHQnsmuq+OpEMjHevkR7NXWfvV2dcHNSsnz/CQI9XBkaF0mgpyvf7z1OgIcrI3t25HR+BZv3nOSWsT0umShQLBZjtQpsWnOMG0bFNYbRLl2xn9yCKuY9NQHVVUgcUFpUw7zHvuPovmymPjSU516/rd2kH25Xa4gGhnix8NuZjL+9N6u+3Mvch7+mtrrhTx930qiuKBrMOPu6tLpAwPnooJBAT0YPbpnY4PPtR6g3mBjdrSPdI5obdr46kcy6rExmDxjUQsz5DdXcsXspG4vSearzcFYPn8lAv9ajmyw2G+UN9WRXVZFeUU5KWSkZlRXk1arRGA1cONKSS6TMiOrLhlGzGOAbyYLUzcxNWovJarmgjIQPx06kh38gc7ZtIqu6qtn5Jg/oRkJEEIt+20+dzsBNvTrTOcSPb3cnYbXZeGDKQPQGMz9vPt5qvUdNSkAiFbNtnb1cWUUdv+1M56ZRXfG8CuGJh3dn8sSUTygrquHVj+7ivqdGt6uldP8WjiV/BIVSxtPzbyGuZziLX1/HE1M+4d/vTf1TS7YU5lSC0Uq1yEp6dgnxnYIuWu74yUKyzpTzwqNjWjwkZquVL3cmIhGLeH1K82mXlPIy3tq/hzFR0czq3dxR5Yymknv3f4tVsPH14Hvo6xPR4rxqvZ4jxYXsKztOkSEXnbgCsVSPTG5BLBKwWsWYzFIatErqG1RU17gisjkR5u5BJy9v4vz86BccSpyvH0sGTOPTrH18lLGLSkMD/+0/FZXU3ioqpFI+mXgTN69czqzf1vHb9LtRntsmFot46fYRTFm0nCVbDzH3luE8MLw3zy/byKHsAm6IjWBgr0h++i2ZaZP6XLKV9vByps8Nndi1MYUHnx3DV6sPIRaJuOu21h14LofVauP7JTtZuXQP0Z0DeWnhNAKC/3jCxuuddtPl/j2RMYH0uaETB3aeYu3yg7i4KomJD/mf5m/XrThMVloRqo4+ZOSWM3FE/EWPs2TZXqrUWuY9Ma7F2Hnt0VNsT8uhf3QYt/dvirAyWa08+OvPyCRivr3lDpQXRDUVatXcs/8bAJYNuZ94z6YXSZ3BwJqMk7y5fwdLs37itG0XemU2grwGlUSFjyyQAFk4QfIIfBV+eCickasacHWvITiwhugAcJI4kVGmY2POaVadTOPblOPk19UyJDCafgHhfHfmMNmacsaFxDV2613kCrr4+vLViWRsgsCg0KYAEx9XZ0rV9axNPMmtfeOICfbj653H8HN3oX+nMDzcnPh1awoRod6t5iazWKzsWH+CgEgfvvz5MHfe2KtFQok/Qp1ay2tPL2f7uuOMubUn8xZOa7dLGbe7FvpCojsH8fHKWbz70k8sees3stOLeXLepD8cjH54dybd+3Zg4OTevPXJFrbty2DMkOZWWHWdjr1HT3P7uIQWllybTeDTbYcBGNejeR7yb04kk11TzRc33YrbBQ4ceouZxw6twGS1sGzI/US62o181TodS5MT+T4tBaVLDbFRZXSQmgmUhzEhaBS9vBJwll66a1pprORg1WH2Ve2nUnyMMWEdudn/TgqqLezMy2XT6WxWn0qnk5c3t0T14peyJN5L38a/uo5tPMag0HDu6BLH0uRj3Brbpdl4+qFRffj12Em+3ZPE85OG0jnEjxP5JQD06hpGkL8767elMuYiQ5Lz9B0cg1gs4qsvduPuquLeO/pfsuzlyD5ZzILZK6ipauC5/9zKmFsu7YraHmg/g4dL4Oyq5JUPpnP3rBHs/C2FZ+/5nLKimivev7pCQ2FeJb0GdmT8sDg6Rwfw0de7qPudT/G+ozlYLDbGDW9pAT+YfZay2noAQi4whNUbjXyadJSh5/yxL+S9k9s4U1/J+33vpKObH4IgsDYzg1HLvubLE8cYGK8hLqaQDm4BvNLlJd7qMZ8hfoNaFTOAr8KXm4Nv4u1ub3JfxD0U60r4KHchft5a3hsznqMzH+X9MeMRgJWJWXjbPPgm5zB7y043O87cQUNQSCR8eORgs99DvT0Y060Tvxw9icFsIfhcpBjYu+Vjh3ThxKlC1HXaS9bRzcMJ3xBPqgpqeGTGYFyd/zeD1da1Scy+53MEQeC9rx9q92KGf4CgwW49nfHoCF7/5B4qS2t5ctoSkg6evvyOQOqxPAC69u6ARCLmX4+NpV5r5NPv9zUrt+dINsEBHkRfpCv50+E0XM4FMDhf0Hp/l3qCWoOBZ/oPbFb+YEUuP+Qmcm9Ufwb6RWK0WHhy0wae27qRKC837h5mxajIY0LAOOZ3mUeUy+XT//weiUjCcL+hLOj6GiGqYBbn/JeNpZtRSmXcEtuFjdPv4a2RY6irFIFZzPOJP6M1N61t5aVy4t7uPfntdHYLA9kdA7pSrzeyLSUbZ6UcrbFplY4h/ToiCHa32EtRq9FRbjQiMVoZ3u+PL2poNlv475vref+VX4jrGc7Hqx4npuulp8vaE/8IQZ+n96COfLTiMbx93Xh51nes/nofl/OryUorQqGUERVjn4KKjvDlzok9Wb89leS0AsCe2vf4ySIG9opsMbbWGU3sPZVHn2h7gILlXMI+q83GD2knGBwWTvcLgiAEQeC99G2EOXvybNxIzFYrT27awMacbGb3H8TQHvWc0WVxf8Q9TAm7E6n4z42aPOWezO38Av28+rCqcDVHqhMBuyfY5LiubJ5xH1HiEDQWAy8nbmy274MJvZBLJPyQltLs9z5RIQR5urE15TQWq63Z1GF0hC++Xi4kppy9ZJ0++HInJoUYBHuX+Y+grm5g7kNfs37lEW6/ZxALltx7zdfZbkv+UYIGCArz5oPvH2HQqDi+XLSFd15cjdFgvmT5rPQiojsHNXMpfWjqIEICPHhryRZ0ehMZOWWYTBZ6xre0pB/IOovZauWGmAgA1A06APYVnKW0oYEpcc2nqLaXZpJRV8as2KHIxRKe376Z7XlneG3YSDqE1nJMncSU0DsZ5jf0KtwNO3KxjIcjH6KjSzRf5H1Foa6ocVuwqxurJs3A1ebMxtJUNudmNW7zVKkYF92RtZkZGCxN91AkEjEsLpJD2Wep0mjxdnFqtq1nfBjJ6QXYLpKNdO+R02zfn8nUKfZ0T9lpRS3KXIrTp0p4atoScjJKmPv2ZGbOGX/VXYGvd/5xggZQOsn597tTuO/JUezamMqc+7+gqlzTopzNZiM3q4zozs2nqZQKGS8+Po7Sijo++noXJ7NLAega23I663B2AS5KOUO6RABQXGM/z6acbFzlCkZFNk/W8ENuIiFOHkwM6crazIzGuekJMWH8XLSWnp4JjA8Y+/vT/GmkYilPRM9CKVbyTf532ISmLCbOcjkfD74DkRj+dWAD9camrvftsXHUm4wcKCxodryhXSIxWqzkltfg797cV7xHXAi1Gj1FZepmv1ertby9ZCudOvjxwLRBBIZ4kptddkX137M5jTn3LQVg4bczGTa+22X2aJ/8IwUN9pZi6sxhzP9wBkV5lTw57ZMW3bvqCg1Gg5mwyJbj4u5dQphxS1827EjjcHIuvl4uF1218UR+Cd3CAvF3d8XLRUVWSSWCILD3bD43hIUjlzS1ICW6Oo5U5nFLeA/MVivvHtxHN/8AHuvdj9VFawC4K2zaZafedOYSztT9SFLFqxwpe4G0qvfJ1/yKTbh0TwTAQ+7O5NDbyWk4Q2JNUrNtff0iiHD2wSDXseTY0abfg0NQSaXsPZvf/P6EByIWiSirrScmuPn96xRpd7E8nVfR+JsgCCxcuh29wcQrz0xEKpUQEuFL8dnqVussCALL/ruD/3thFVGdA1m84rEWL+B/Ev9YQZ9nwPDOLFr2CDK5lOfv/4J9W9Mbt51/mILDLx4l9MCUgUSEeJOSUUxYcMuAEKPZQk5ZNV3D7Ssrdg72I62gjPy6Wsq1DQwOa54kcGdpJgJwY0hX1mVlUKZt4MVBQ1Cb1ByqPsyYgFF4Ky4dsSQIAnman9laeCspVf9HqXYPdaYszmh+JLnyVXYWzaDGcLLV+zHIZyCBygC2lm9rsW1yhwTEchvfpSehN9tfDgqplL7BoRwuKmxW1lkpJ8TbHQHoHNzcu65DqDdisYjcgiZj2sZd6ew9cpoHpw5qjMoKCvOmpODSgjYazLz1rx9Z/tkuxtzSk7e/eOC6XXWlrfjHCxogoqM/Hy5/lMiYABbMWcnKL/YgCALVlfapJh//i6/iIZdJeeWZCVitNkrKa1sY2M5W1WITBKL87Q9on+hQcsqqOVJgf/jj/ZoHAxyrKiDIyZ1wFy/WZWcS4eFJ3+AQktT21nKIz6WXJ7UJZpIq53O88nV8lAmMDl3LxIidDA76ib7+m+ng/hoGi5rdxfdQWL/pkscRi8QM8hlITsMZqo3Np/f6+nYAwCAxsDMvt/H3rn7+5KprMFoszcrLz41fe0c1tzDLZVJ8vVwoq7APP4pK1Xzw5U4S4kKZelPvxnLefq7odSb0OiO/p7a6gRce+JK9W9J58JmxPPvarchk7dqt4opw3IFzeHq78PYXD7Bo/i9889E2yopqCAq1C9HT59Jv/SA/+7xyaYWG33amc+PIJi+wwqpaAMJ97WX6d7Qbzfbk5CECOno1b21T1cX09A5FYzRwuKiQx/v0RyQScaI2lWBVEAGqS2fPyNOsoaB+PZHuD5Ct6c+aE4kcr15DuaG+sYxC3I+7I45gFV7mh3wNIwP708u7ZfaTPp69+KnoZ1LqUhnhN6zx9xg3f1QSGXInCVtzc5jYye691cnbG6sgkKuuobNvU2tcr7cL0ekiIZMBvu6UV2mwWG0sWLwJiVjMy09PaOYy63mutVVXN6C6YJ3qgtwKXnl8GerqBl5eNK1FqOU/GYegL0CukPH8m3fgH+zJyqV7CAj2RCSi1RUxNQ12B5OwIC8+/GonPbqEEBJo9xGuOWfR9na1uxl2DvbD392FjLIKvFROKC5w87TYbJTrNYQ5e5FZVYUAJATaAziK9cXEu186ZFMQBHJqf0RvDWXmIS0Nlo0Eqtzo7RNOJzc/POROKCUyNGY9NcZ4xLxNmfZX7t6XSYybPzM7DWJCSJM7q7/SH5VERZGuuU1BKhYT7OSB2mYks6qy8fcAF3sChwqtls7nhssVdQ2U19kDY+p0Bnxcm7taurkqKSmr5bs1h0nLKuGVZya2SAThdC4CSq9tmsdOO5bHq08vRy6X8s6XD/5j5pevFIegf4dYLOa+J0cTGOLFold/QSQSoa5uwMvn4ulbtTr7wzblpl58unwfry7awJIF05HJJNTpDACNyfPEYhGjukXzddZxwoOaBwZUGRuwIRCgciOnxj5u7OTtg96qp9ZcR6Dy0ml3DpTvQmvJY0tpAsMCOjEjqi/dPVtmOLHTj4OlhxglPcnAgDl8f+YIc479zObiU7zRcxLuchUikYggZSClhtIWeweo3KjVV5CrrsFstSKTSPBxshsDq/W6xnLbUpscdzQXEbSLk4KaOh3frj7E2CFdLuoKqjrnonu+y71vazrv/Psn/IM8eGPJve0yuOLP4hhDX4Kxt/ai39BYBJvAM3d9RvHZqouWs9rs0zveni7MnTWWzDPlfLnqwLlt9jG19ALHigkJsdgEAb2x+XjTbLMCIBdLqDXYXwQ+KicsNns5hfjivYS1Z0/wVuovADzZZQrv9rmNHl6tB6G4yjtgtjVwZ0RPfh7xCC/Ej2Z3WTaTdy+lQm/voiskcsy2llZxuViKWCzCKghozfaXmUxsHytbbE1TXRuSMgjydGt2Hy7EJgjU1esJ8HPnuZkjL1rP891vm01g3YrDvPn8Kjp2CWLhtzMdYr4EDkG3QkCQJyonOUa9idn3LiUno6SV0gJD+3XkplFdWb72KCdOFl6wpemB7hoWgEoho1bX3Bdc1FgWdGYzYpEIuUSC6NwWgearW4DdRXTe8XXEethb7zDnK0sCbxOMiM796SUiMfd3HMi3g++lyqjl4YPLMVjNCAKN525+lUJj5JX2nKX7/PWdf4mcKasmvbC8hTHsQtKzSrDZBF5+egLOThd/WZ03Mm5dm8Qn/7eB/sNi+b/P77/mazBfzzgE3QpyhRSLxcZ738xErpDywgNfNvp2n0d5zuBjONfiPnnfcIIDPHntg98QnXsgdcbmXlQRXp7ozGZyy5umZNxk9hxlapMOiViETbDLxEnqhEwkpcbU3Amj1qTnxaS1RLh481L3mYhFckq0uy97TVbBRHHDDryUzRfJ6+kdxvt97iBLU86ikzuoNtXgLmu57rPapEMptl+z9FzesvOOJi5yexf5pyNpSCViOp+bf/69UWzT7pMUl9Xi5qK8ZGw50OjBt32dfaXHeQuntppp1YFD0K2icpZjNlkICPHk/e8ewcff7gN+bH92Y5nzkUD1DfZuspNKzn+euxG1RsfBI/apHbW2eWvcLSQQQQI/Hkxt/M1NrsRFqqBEV4ur3N5iNZhMiEViAlWBFOub9w7eP7mdGqOWt3vfhqfClxCXcRTUb0BvqaA1zmrWYrBW0snjvhbbhgZ0ZHpkH77PPUSFsZIQp5YtbKmuDqdz3f/zAq7U2cfOvk7OGMwW1iWeYlTXaMzn1szydG5KqFhWqWHRFztwdVYQ3MrSN1aLldVf2wNgxt7ak+f+c9s/zo3zf8Eh6FZwO5fyRlOrx8ffjXe+eoiQCB9efWo5+7fZHTTcXZWIxSKq1U2pjjpF+vPA5IFkZtpFWKpu7lbayccbxLAm6WTj1A5ApKsPmXXleKnsAjhvZIpyjiS7PhuTzT5m1ZgMrCtI5faIBOLOdbc7edwDCOwsmka57nCLa7EJZrLUX5FS9S4+yt74qS4eY/xc3Cj8nCyAQLRLc7fUGqOWckM9CkGOQiLF6dyqHfm19t5DiJsb646dQqM3Mnlgd0rUGpwV8sasplarjTc+2oggCHh5OF8ypZDZbGHB86tIT7YHcNzzxKjrbtnW6xWHoFvB28/e5aw+5wDh4eXMO18+SKf4YN58YRV7t6YjlUrw93FtsYjajFv6Eh9hnzc+ntN8+qezr70r2oCJdcdONf7e2zuMVHUxfi72MWJRnf2Yfbx6Y7AZSam1t+ibi09itFm4PbxpiRY3eRTDQ75HIfbkQOksDpfN5kzdCnLrfiRL/SU7i6ZzsmYxgc5D6B/w/iUF4iyVE+MpxmITE+bUPCwzqfqcv7ZJSoibW+MxTlVW4KVU4efkzIr9J+gc4kfvyGDyK9RE+ns1lvvh10ROnCri2YdGUlnTQNBFHHZMJgsLZq/k4I5T9BwQjVgixsPrn+399UdwCLoVfAPsD1x5cdP41dlVyRtL7qVzt1DeemEVOzacIDjAk/zfJU2QSMS8/tSNiG3w8+5UrBcs2drFxw+pWIyXrxMrD6Q0Rh0N8IvEbLNSarYfK+9cyxfrFoOX3Iv1JRuxCTZ2l2UT5uxJvEfz8aebPIphIcuIdp9BjSGdlKp3OFH1FidrPsYqGOkfsIj+AQuRSy5tPKs0VmIUyqjSOZFc3dydc1dpNs5SOTUaE2HuTd3lpNISuvoHcCy3mJyyaqYOtOfuziqpbPSSyzxTxhcrDzByUAx9uoej05sI8m/e5TYZzfzn6eUc3p3JrH/fiIe3M96+ru0qid9fjeNOtUJIuD3tT0FeZbPfnZwVLFhyL117RbBw3hpUiMgvrMJisTYrF+jvQUygD5V6HavWH2v83Vkup1dgEGIXCfmVavZn2g1t/X0j8VG4sLs8Gw+lstF5QyKSMDnkds7qzrKv8gAnaoro5R1+0VZWKlbRzWc248M3Mz58K2PD1jOpw0HGhq0jyHnYZa/5h7MrkYqlVDS4k1LTFLqotZjYUnySMUGdyVWrifWx35vCujrOqGsYEh7Bsj3JeLmomNAzlrwKNWqtnoQOQRhNFhYs3oSnuxOzHx7dGJQRE9nk+mo2W3hj9kqOHTjN06/czKSp/SnKr7pq+dX/KTgE3QpKJzn+QR7kny6/6LbXFt9N5+5hHNt2CpPZ2izY4Dxje8Vgk4v4dNUBTuc3GayGR0RSrNXg5enEN7vtvtpSsZibw7qxpzybDj7upFc2le/v3Y9ol2hWFKxCZ9UQ59n6+k4ikQiV1BeFxJ8SQxVptemoTepWEzrsqthDcu0Jbgm6iXDnIDJqm0IXf8pPRmc108u9Axabjc7nlsXZfMZuIIx28WL3qVwmD+iGUiblyGl797xXZDCfL99HXmE1c2eNxc1FyansUsRiUeO622azhTfnrOLo3iyefHkS4+/og9VqozC3ktCLRLo5uDQOQV+GTvEhZKVfPMhe6STn9U/uISbC/mD+uj65RZnzC6NLPKS8/uFGzGZ7Kz4pJhaxSERYlBeJZ4pIPWv3yronuj9SkQSjSktmVWVj4gCRSMQjkQ9hQ6CTdwVe8tYTHdaa6liS8zmPJj3Oy+mv8l72Ip45MYdnTsxhR/muZvHOAJmaLJadXU5X93jGB44j0MmdinN+4FqLic+z9tHftwM6nf2FkBAQhCAIrDqZRq/AILYlZaOQSpg6qAcAu06eIcLXk+qyelZtSOK2cT3on2AP7khKLyQmyh8nlRyr1cZ7L63h0K4MZv37Ribe2ReAwrxK9DoTnbpcnZUy/ik4BH0ZYuJDqCipvWTCfidnBW8vuQ85IjZuSSHtd/PUUf7ehPt44BXhTm5BFd/9bLdAB7i4MiIiklP1FTgr5Xy7x95K+yldmRHZh1xDGVapmdTypt6Bn9KXYd63oJBa2Va1kkrjxb3X0mrTeSn9FZLUSQzxHcKjkTOZG/s8M8KmEaD057uz3/N+9ofUm+2CPVqTyMLsD/BT+PJY1MOIRWJ8FM5UGuzXvDRrHzUmHU93GUFyaQl+zs4Eubqyv+AsuWo1EyI7sSEpk1v6xuHt6kR1vY7EnCKGdO7A259uJTjAg1n32DOsaHVGMnJK6RUfhiAIfPzGOvZsTuPBZ8cyaWqT5T0jxT5+d/hq/zEcgr4McQn2mOW0pPxLlnF2VTJhdFcsSinznlzWzKNMJBJxc584siuqGTAgiu/WHCE71y7SR3r3QW0wEBXrw/bUHAqr7dFZs2KHEqTyQOZtYG9B8xeElzyIrCpftJZ65qf/h4NVh5t1owt0hXxwejEeMg/+Ez+feyJmMMCnP53dYhkTMIq5sc9zb8TdZGoyWXz6E344u4r/5nxKmFMoc2NfwFlqt7ArJFLMNivHqs6yNPsAt4b1oLtnMIeLCukbZBfZosMHCXRxRV2mw2KzcvcQ+3pUvyaexGKzoS1uoLislhdnjW10wDmYlIvFYmNQ7yi+XLSFTWuOMfWhodx5f/NF/U4cOYOXr6tjDP0HcQj6MnTsEoRSJSflaG6r5cYNj0cQgdhLxcuPf0fpBVbvW/vGIRWLcQ1zwcNVxYLFmzCbrfQKDGZoeAQndZUghWV77Mu/OMsUvNvnNkQSgTWlidguEKxVEKg3KXkw4gkCVQF8lruUNzPeJrU2DYvNwudnvsBF6szc2DkEqVp6YYlEIgZ496OvVx+yGrLZUr6V4X7DmBv7PB7ypmkksUiM2WZlTuIaQpw9eanbOPJq1ZRrG+gfEsrW3BxOlJfySM/erDmUxsj4aMJ9PbFYbaw+nEYnfx+278jgzok96REX2njcXYey8fZwJicxn5++2c+NU/px75OjmtXRZrNx4kguPfq1TLrooHUcgr4MUpmEhP5RHN6T2apBqUvHQEICPfGK9cditvLSo982dtN93JyZ0DOW9cmZPHzvEM4UVLH8V3san38NGoLObMYn0pVfjqY3hlwmeIfSyyWKWlE9rySvbzy34lyWTxepBy91nsuMsKnUmGpYmP0Bz5yYQ6G+iH5e/ai31KO1aDHZTNSa6sjXnmVXxW6W5HzOU8ef40D1IZRiJU4SJ6aFTkYmbu5SqTHpMdos1FuMfNjvTpxlCvacSzOUEBDIa7t3Euvji7XWhkZv5L7h9sQEG49nUlRdh76wgeAAj2bL6VapGzhw7Awxwd589u4mBo7swmNzJ7YQbXZ6MXVqLX0GNV+UwMHlcQj6ChgwojNV5ZpWU8qKxSJuHtONrPwKHn55EtUVGl57ZnmjP/Ijo/thtlpJra5g+IBOfPfTYQpKaoj18eXRXn3JM9TSIDXzw/4Tjcd8vPMQLBoZawqO81rKb1gFGy6yc26hFiNikZgxAaN5u9ubPBr5MEarEREitpRv5cW0l5mV/BQzjz3G0yeeY/7J//BN/jJOak4yyHsA8zq/yOxOz6Cz6thRsavZtZTrNewsy8Yq2Pio32Ri3e0OMvsK8gl39+CrE8lU6LS8PnQky/cep3dUCN3DAzFZLHy69TA+KhV1JVqef2R0Y1cbYMOONKxWG+lbTtG1dwRz37rzonPMh3ZlIJaI6T3YIeg/iiMe+goYMCwWmVzKjvUniIm/tJFm4vB4vlp1kMOZhcx543YWzFnJe/PW8OI7kwnz8eC2fvGsOpjCZw/eSmLqWd76ZAsf/2cqj/fpx+6zeWRSyfeHj/PA8D44KWT0DAxCrnMm2teZVXlJnG2o4eFO9jREamNT7LFULCVA6Y9JMPFgh/sIUgVRafz/9s4zMIqqbcPXzPZNdtMrSUihk0BC770qIFgQwQ87dnwVRbFQFBXsIuoriqgIIoKA0jsCUqV3CJBCes/2MvP9WIq8KgqCIXGuH0pmZ3afmdl7z5znPKWIclcZbtmDUWXApDGR4BdPqDb0ohGxrn8dthZv44aoPgDsLMpg1I752DxOEv1DaR/uC/90eNxszc6iaUQk8w8f5PFWbcjOKSO/3ML4wb7me1+u30VWcTn+BRL9ujSmRZMLNdMcTjdzf/wFnVMiKjyQse8ORfs7lUwkSWLdsn2ktk7EZDb85uSk06cAACAASURBVHWFS6OM0H8BU4CRdt0asnbJXlzOP66caTYZGNCjCas3HiapaQz3P9WHjSsP8NXUNQA8cUMHzAY9U1dt4bG7urDv8BkWr9mPTq3m4xsGYNRqKDQ5mP2zby6tU6vpGBtPUZ6XV9MGsLckm6d2+Kp/Ftgvjg8/Wumrl50SkEwd/yTahrSmT1Rv+kffSPeIbrQKbkmYLuw3j7eNzA3JtGVR4qzg7QOrGb7xC/QqNdGGQJLMF9aAt2Rn4fB42JFzhu4JiYxs1ZavNuyiTmQI7evXJru4nGmrtxEsaAnTGnj87i4Xfc68JbuosDgw2SUmfjwc0x/Ece/feZqCnDJ6Dkj73dcVLo0i6L9I31taYKmws2H5/kvuN2RAC1RqFdNmb+KWu9rT95YWzPlsAz+t2E+AUc8zAzqx53QuZyQrTRvG8MmsjZRX2qllNjOt300IGoG392ymwOKbf3dLSCTXYqGBXy2+6/IAEXpf2OanxzazpeDk+bl1hi2LIE0QQdrLS/yPMcSRa/Gj3+qP+ez4Zm6pncb8rg9S7LISabgQIvr1Pl93jKSgYN7pdQPbjmdxLLeI4Z2b45Vknp+9HFmWcWfaeXR4F8ymC6NreYWN6bM3obJ7eO3toUTF/LZC6jkWfbMVU4BBqRN2hSiC/os0bZVIXGIYP8zZdknnWFiIiaEDWrB60xEOHM3hkef70Sgtjrdf+p70I7n0a96QG9Ia8NGKrfS+IQWL1cF/v/4JgFYxsTzRtA1OQWLQnFmcqayga0IiArD6ZDpJ5jDmdR1BmN6fCreDezfPpP+aj5l+bDPplflE6iP+0K5f45Ek9pZk89q+5Ty+ZRWZ5cGEGQx83fEeXmk2AKfkweZxEevnE96q9BOsO30Sk1bL7JsHY9LpmLFuJ2FmP25sVp+py39m9+kc/EqgWYMYenW6uJzQsy98i1uSuHtQ60v26c7LLmHL2sPccGtLJe/5ClEE/RcRBIEBd7Th+MEzf7qENWxQK8KC/Xnzk1XIwEvvDMUUYGDCf2ZhqXTw0q3diAkJ4O0Vm+jTK5kfV+9n3xGfw+2Rjm2Ic5oosFq56ZuvOV5cTLOoaFadPAH4wkOTA6OpZQzk1WYDMKo1vHtoDT+e8rDwpJMnt3/Hh4fXM+/0LlaeOcTa3KMszT7ANyd38Mb+lYz4eRZtl7zBkA3TmXNqJ23DEmgQms+99RNoHuoTW4bFV3ghxhDEu1s389CSRQA83a4DIUYjB7Py2Xo8k2Ed01ix9zjT1+4gyT8Qyj08df/FqY7fzvqZA2eKSAwN5J4Hul7yus37cjMqlUi/2/9ec/d/M4qgL4NeA5sRGm7mq4/WXHKUNui1PPNQT19k2LytBIX489I7QykpqOSdl77HT6flg3tvwuP1srHwDMGh/rz/+VokSUYlijzSsTXaHDCqNQxfOA+NqOJgYQFnKn3z5kRTKFnWEgbENmVulwdY0uMxEgMriDQaOFSWy4dHNvDS7h95Yvt3PLp1DqN2zOflvUuZfXIH+fYKboxJ5q0WN/NT31G813owYQaweS842dIri5A9Ah/9vJMPtm+lfkgoItCvbgMAvt64Cz+dloTwIMZ+u5JG0eEUHijmjgEtSIy7EAiScbKAj+dsQi2IvDvpjkte26L8ClZ8v5OeN6Wdz3JTuHwUL/dloNVpGPJAZ6a++iPbNhylTZcGf7hvu+ZJ9OnSiJnfb6NlajxNU2K478nefPLmUubN2MRt93bkw/sG8sAn8wmM0nP4YD4rfjpE3y6N6de8Ee8t3UxTMYJ2DeOYe8jXzeOD7Vt5vVtP6pjCcMsSGZZiksxhxPoFEupXxsBanRhU6yYcXjclThuVbgduyYtepcGk0RGmN52vB/ZrDCo9dq+vqord7ea7/Qdx5Rk5rC5iUvdefLZrJ61jYgkyGCiqsLJ8zzE6NIjn2a+XkRAejLkYggOMDL/lQuimw+biiWdm4dGKjL6/GyF/ktM8679rkWSZ2+/rdCW3RuEsygh9mfS5uQUx8aF89s5yPG7vJff9z73diQoPYNw7iykutTLwzrZ06p3MjCkrObQ3k9SEaD649ybKHA5ccRo+mL0em92FUafh1tbJbDx4kieat+XLgbegEUXmHtzPzXNnU1rhK+J3rMKXjXUu0UI8ezv1Kg3RxgDqB0SQHBRNHXMYEQbz74oZQEDE4Zb4dNcOOn/5GTtPFRBk0rBi2N20iK7FidISeif5+jR/+/NePF6JTUdOUzssiOFpTTh8NJcHh3bEaLiQMPLSC3Mpwku7JvEM6Htpj/WJwzks//4XBtzRhshLOMwU/hxF0JeJWqPi/qf6kH26iEWzt1xyX38/HROfuYlKi4MX31yEy+XhibEDCY0M4M0x32GtdNCmXhyfPnQLGp2abKOT17/09ZS6o4Mva2n2pj10jIvn/rQWCEC+1cIr637CnWtkxi+7OFRY8Kc9rv8Ip8fDxozT7DoawPurSnl900/UDwklMMrLDU0SqGU2syLdV1+7R2ISdqebLzf4MsqSYyP46L6b+OrbrdRLCKdv1wuNAOZ+s4Utp3IJ9TfwypiBl7RBkiQ+mrQYc6CBYQ9eeo6t8Ocogr4CWneuT5suDfhy6uo/rNd9jjrxYbw4si8HjuUw4f2l6Ixanps0mPzccqa8sghZlkmNj2bOk0Px1+lYeOwYk+avI9TsR88mdZm/9QBWh4s+deshAyNbtWVq3/74GzT8klFAv29m0vnLzzlyvBZrjhWx7vRJ0kuKKbXbcXm9eCUJq8tOZsUp9uXnsfT4Md7esom7F86n2bQPuWvRfHKL9aTE6Flw+zAm9e6JXW2n4dlaZavS00kJj0Atidzx/jfYXW7a1avNZw/dysp1hygoruSJe7udj/jaty+Tqd9uQqMS+WjyUHTaS8/qFs/dzqHdmdz3VB/8lUCSv40yh74CBEHg8RcHMGLQFN4Zu4A3Pr/vkmVyuratz8h7rLz/+Vpen7qcMY/1Yfij3fliyipadqxHj/5p1A4L4qtHB3P7qzOZ9fMedmfmMKR9Ksv3HGPJrsPc1rYJUf4m1pxK59P+g9hccZjV2ccYVacPGzNPsyajlMX7S1i8f8Gf2q8SBOoEh3Bbo2Q6xycwM/8tekZ1pmlEJCvPHAagcWAU+RYLe/Jy6RdVl0FvfkWlw0m42Y+PHxiI1e5i1sIdtElLoGkjX/Rcbn4ZT708D1mAyc8NJDry0mviudklzHhvJc3a1VECSa4SiqCvkJBwM48+3483xszjm2nrufPhbpfc/7Ybm2F3uJg2exNuj5fnH+vD9p+O8t/JS2nWtg7BoSbqxIVxR/MU5m/eT65fJePmriTAqGfWpj3c1rYJvZLq8M2BfVhdLpKDovk+cw/t4mMY3DiFJ/dsoLauAZ0CbyCzvJwyhx2r20WuZRvl7u1oVR6CDV561B5D04gm6NW+dV635OaLAidGlS9ya3/pGTSCSIOASN5dtxl9nsC6zHTqRoVSketkRM/WiKLIrAXbqbQ4GDHUF4qanVvKiNFf4/B4uffG5rRqmfSH1wLA4/YyafRcRJXIE2NvUrKqrhLKI/ffoNuNqfTon8rsT9axd8el16YBht/ShkeGd2btz0d59vUFjHjuRpwON1Mn/nB+Hnzv4Hb4e1S09Y/kzo7NqLQ7OZlfwqivlpAWEoXL62VDxmmaBvtGxXN1v/zV/sgqG82iohnYoCF3pzbj5kYumsV9wd2p9ZjY+QNSo8so976MWrzQhsfqsZ4//tz7xbpDeezTRcxatguNJDJxSC8a1grDqNPQr1lDCoormbtkF706NaReYgSHjufy0POzqax00CwkiHvu//O58Iwpqzh6IJv/jBtIRLTS1uZqoQj6b/LI8/2JjgvhtafnkPc/lT9/j6E3teSFx/qw93A2L3+8gv53tefntYdZs9iXZRUc6MeQ/i3YvO0ENzdtxLyn7kQlCqzef5wXZizHv1DFl5t+IVobiEGlYW+pLyDFpDadr0ByjvTyb/FTx5AaNgaDOpxmYeOwuDPJt11w5lV4fMe4bBo+XbOd3SuLydzq4FhuEe4gmcE3pNKlcRIr9hzjxmYN8NNr+fr7bUiSxP1D2rN8/UEee2kO9koHwSUuXpx465+OtmuX7GH+l75c6I69ki/reitcGkXQfxOjn47xU+7E65EY9/jXWCsdf3pM367JvDf2NiosduZuOUhoo0imvbUcS4VvLfi2fs0xGrTM/H4rdaNDubVNCmpR5L5uLdFJKg4dyKPb+GnoDplYsy2dXSfPYMREufvi2uAVrhOE6JuiEnzLSWGG5gBUutMprrSx7kA6Hy3dwaHldRg9dQdTlm5G1kjc2rMRj93WDpdZpl/9+izacQinx8vt7ZpSXGpl8Zr99OjQkJnfb2fiB8uICjahPlHGo0/1ITzqj7thABzak8m74xaS0iKeB0f3vZJLrnAJBPlK1zwULmL31nRefORLGqXGMfGju/5SLHJRiYUJ7y1h98Es1FY3vVvUZczEWwH4eOZPzF60na/fuweXSubmt2by9IBOREabeXTBD/SLrsfOU1mUl13ovKHzd5EalUREgD8mg5Ys20zCjc0J0KRid7kprrRxtGAbRWUBWOy+33K1SkAfbGFYi46oQkSmnF7Lip6P88ZPm9mRc4af7x3BwDe+IsCo5+uRQ5j65Xq+/XEnEaFm8osquKV3Kpu+2kZcQhhvfXE/ovjHY8TJY3mMvuczAoL9eHfmg5gDfz/jSuHKUY0fP358VRtRE4iKCSY6NpgFM7dw/NAZOvRK/tMC8UaDlt6dGmHUa9h59AxH80spL7HSIjWeeokRfL98N6Xldm7umcrmI6fZn5nHf3p3YPr+XbSuF8uw7iks9e5mVLtuBAa7yHfmo/eaOZ5TzN6MXNKzQziUIXMgM5+T+SXYXG5U6krqxri4vXUvHuzRmsatrZSEb+fl9g+zKHcfBfYKHm3QhRfXrqZPnbqEiUZmrN/Jo33aoXHDax8uR5bB5K/jtWcHcmz9cU4eyWPC1P8jKOSPC/hnnSpkzAMz0GrVTJ5+3/muJApXF8XLfRXpekNTHHY3709YyISRs3jp3TvQGy5dblelEhk6sBVt0hJ46Ikvmb9mH1sOZPDAHR0Y2DuVb3/cyT2D23JTy0a8Mn8tGQWltIuNY83JdEa0aA5aGTHUyx31G1FwfA3jGt1Fon8Cpc7DrM0aSpvIt6nlf8EDvznnUZxSGd1ifAX9dp8qJ0BjRiNq2FuSTZPgGLbnZGNxu+iekMTCnQcxqFRkHy7kvbdWIEkyA3s35bG7unBsfzbrlu5j2INdia/zx5leJ4/l8fyIGQC8Nu1upbfzNUSZQ19l+t7SgicnDGLXlhM8/+AXVJTZ/vwgILF2GC890gf9GQsep4cJ7y1h/ZZjCILAN4t20Du1Plq1ih92HqJ7QiKZFeVU2N1EGQLYW3KGUJ2v5cy50r6S5EQQfJ00fo1K1CNJFx7Ti5yFhGpDKXPZOWkpIjU4hrWnTqJTqYkS/Fi54gCGDA/f/rATAWjbLIGnR/REp1Uz/Z0VhEaYGXyJ+OtDezJ59r7pqNUq3pxxP3GJ4Zd5RRUuB0XQ14Deg5rz/Ju3c/xQDk/+37Q/jSY7R4eejUmuE4X2VDljH+9LSJAfkiTz4+r9TPlsLc0jIlm88zAdY32lfdacSqdpcAx7S7II1/mqi+Q7fSWCvbJPtKJw8VxeJejwyq7zf+c5CojQh7P/rLe8niGc1RsPE3tYzYinv0Yo9ZKaEsudA1vi8UrcdWtbANYv3cfRA9kMf7T7H/oL1i3dy7P3f4450MhbX9xPbILSBeNaowj6GtGxVzKvT7ubynIbI4f+ly3rDv/pMYIg8PCzN1JebOX0zkz++9pQXhzp8wSv2XSEQ5szkY7amDRlBXVtZlbsP0pqUC1y7RWUuVwEa4PIteeee7ez//2dJaSzmxxeB8WOEigMZM4POzGv1TPhmSXIu+2o7DJhSYH4JQfw1rM3s27rcRrXiyK5fjRWi4Npby+jbuNadO//2wgvr8fL9HdXMPm572iQEsM7X41Qki7+IRSn2DUkPCqQjr2S2bM1ne9n/ozd5iKlRfwlnWWhEWaK8stZOm8HPQakkZoSx97D2TicbkaN6MHmIxkU5pTjzHJgO2bl6NZ8pGzIyizFUeohv6SC2uo6lFryySjdSJDYGafNTGGJhdPZxew6sodD+zVs36phxrzNnFpuZO+mCvJPVKAVVdRvUovDoRV88tQQpm/5hTu7NMNZ4mDhyr08fndXEmJD+fbTDWzfeIxx7w37Te5yYV4Z40fOYv2yfdxwW0uemzwYo5/+Wl9qhbMoy1b/AC6nm0/eWMaS77YTXyeCZ167laQGf9xsrjCvnHtvfIdeA5vz+EsD2Lb7FKMmzuf5R/twoLKYOZv28Nygzrz8w2o6mmPYczoTbYUKr/uv38pAs4HgSA3FAaf4v5b9eLPoJwY2aMqRdAsldjvDYlOYvGgDi0bfxRvvL6e03MasKffisDq5q+/bNG2ZwNj3hp1/P1mWWbHgF6a9tQzJKzNy7AC63Zj6t66bwuWjeLn/AbQ6DY+/NIBWnevz3vgFjBz6MTf/X3uGPdgVvfG3XvCwyAB6DWzOigW/MPi+jrRKjScuOpgfV+/joQe7MvOnXWg0ajQJBkxJgSR1sOPyehhaqzZzjizinvAHcDlK2ZM/lXj/wYT5JaPVqgkwGTjlfBv/wHL61PmCeVnfsyR3Byn1amNb56KROYqvc9ZzT2ozVu4+Tr2oUHB6OXA0h8fv7oJaJbJw1haslQ6G/irVMft0ER++9iO7t6aT0iKeJ8cPIjou5B+8wgrnUObQ/yCtO9Xnk+9H0r1/Kt/N2MiIm6ewdskeJEn6zb5DHuiEqBL4cupqBEGgX48U9h/NwSxqiAw0sWbfCdrHxrEpI4PU4BiOVOSTFB6DLtJBdEM13drXo3GLk3TqaKBPl8Z0a1ef5ilxhEaW4m/0eb5zHLlE6MM5UOprG+txCrglicbB4ew+nUOvpvVYvOYAarVIr06NKCmqZN4Xm2jfvRF1GkZjrXQw4/2VPHTzBxw9kM2jz/dn8mf3KmKuQhRB/8OYA408NeFm3ppxP/4mPW+Mmccjt33I5jWHLhJ2WGQgg+5sx9rFezl1LI++XRqhUoksXrOfnk3q8vPRTFpE1SLPaiFMY8YteSl3+rxdufZcNKIv2cItXRzf7ZYs51/LtecSZYhib8kZgrVGDucVo1erKSzwlRDu2iiR5esP0qlVXYICjMz5bANut4dhD3Xl2+kbuKvv23w7/Se69E1h+o9P0n9I60tGiilce5SrX0UkN49n6reP8NzkwbicHl55cjaP3Pohq3/Yfb59zq13d0Cn17Bw1haCAvzo2KoOy9YdpFujRNxeL7LV9wNQXuHLnkqvKMNPZSTHkXdWtAKu/xG0S6pAI5rxSB7ynQVE6aPYV+oLKNmclUmr6BjW7kunfnQYp04UUmFx0L9HEyor7Cyfv5PYhDBG3/c5M95fRcOmsXww5xGefvVWgkIuXTNM4Z9BEXQVIooiXfo24dOFIxn9+q1IksRbL85nWI83+O/kJRTkltOjfxprl+ylrMTKzb1TqbA4KMgqIzrIzPbDWcQHBrEnN58IvYkDZb4RN9eeiyCo0IgmXN6y858nyzIubzlaVQBFziK8spdgTSgnK4tIMIaSXlpCk7AI9mbk0ie1HgtW7CE2MghvqZ2n7/oUl9NDxol8mrRM4L2vH+SVD4dTt9FvO1wqVB2KU+w6QKVW0e3GVLre0JS920+ydN4OlszdzsJZW4iJD8Xt8vD5eyv4z/iBxEUHs3TdQXq2rMusTbvp26shi44dpnNaFPtLz3BrSCT7yn1VQrWqAFzSBUF7ZCsyHrSqQHIcvnmz1a1CBjwu3+O6bJXBK6PJcXB84wn83TB+49cIgkBYZACTPr2HWrWVns3XK4qgryMEQSC1dRKprZOoLLexftl+1i3bC6dh5cJdbF1/BHOkmYOHcmiRXAuvy0uIaMDu8RCiNrHOeowgTW3K3eXYvXZ0YhBOb+n59z/3b50YyAmrT9C5VhdipcyxjWeIPejhp6WbqZVv5Zu1K1ELkNalIUHBfiybv5OnX71FEfN1jrIOXQ3Y/8tpnrnnMxLrR1JeaqO44EKjOm2QnhKTl/iEEI7rCrixYRKHpG3cVW8YlZ6F2LzZtAh9HZfLQ17xQfZkTSfEfQt7MvLJyyzBlavHW362gokIbpOaxEZRlFs9hMQG8eGrQ7i779uERwXy1hcPVNEVUPirKIKuJoy+bzqFeeV8vvhJhj/+OYLNg6yVyc8oRnR6odIDzt8uf/0RGrOAPkKgLEBDaHwgex02bm6byqL1hxh/U3fefX8lox7oQXygiTEjZjDmjdvp3CflGp6hwtVAeeSuJvQckMbbL33P/l9O06tbMp/M2sh9D3fmnWWb6N6tLqsy0omtBbFCAFbbNtqZ29LIEMa+wndpHPYgkaZmHHO8C/p8+jeZxdMHR1PfvwFTD+SSEhbDtl0nsVvdGLQack+VoBIFurStyyevLcHPpKdt1z/uEqJw/aB4uasJHXsl4282sPjbbfTs2BBBAEuer8Cf6BSwezzEBodyTFNCTMNA5LoWOnfuRnzzMiJTMkluHoem1m4Sa6fgEOyUu8uRJF+ASaXFQ6Bez74TubSuG8uaTUdonZYAHplNqw7Sc0Da7zZnV7j+UARdTdAbtPQa2IzNaw6hlqBZchybt6bTMCacnGxfLTGNV0uBo5IIfTQZtgxUoo4gfTJFjt2Uu07gkSyE6NPIsGUAUOFSISKQXlhO/aBQ8kotxJsDKCyx0LtzI5bN34HH4+XGwa2q8tQVLgNF0NWIAUNaI0syP8zZSqfWdcnOLSUtJorDmQXUMpkprfQFpKgxU+gswuaxEaJPpcx5mAL7NgBC9Wlk2Xylf7MsbuL8gjldWo5R8o3AnjIXGrWKlk1q8+M322jRvq6Sx1yNUARdjYiMCaZFh3qsX7qXNmnxAGhdApIsE2s0cyK/FAGwuHyukSx7NiH6VGQ8nCj7Gr0qHIM6iixbFkGaII6UFROq8dUBs5Q6qBMZwoEDZ2jaKIaje7IoLbYovZqrGYqgqxkdejamILcca7GN2Oggsk8WoVOr0LhEim0OogwB5Nl8y1DZtjME65sA4PAWEqJvgiAIZNvPEKGPJN9RiewW0YgqTmUW0zAqjFNZxbROi2fT6oMY/XQ0a3vpDhgK1xeKoKsZbbs0QKUW2bjyAG2bJbL3YDbJcZEUn02oCFL7c6y8HIPKwBn7GXSqwPPJGMH6JnhlL7n2XHSirzBBcYWTpMAg7E4PBq8KgFZN4tmy7jCtO9dXnGHVDEXQ1QxTgJFmbeuwbule2qQl4HJ7iTT4kZFbilGjQXCryLKWEqmPJOdsOaJzgQbB+hQKnUW4ZQ9Ojy8P+3RRJQGir6JIQUYZ0REBFJ4uoqLMRqfeyrpzdUMRdDWk54A0ivIrECwu/I06HCUOkAXi/AMorXQhA0YxkFyHT9Adoj4iOeRJArUNz4u8xCFj1uhxuiRclR5igs0cOHiGji3rsPqHPQQE+dGyQ70qPEuFK0ERdDWkTZcG+JsNrFy4izbNEjh2MBe1KGKUNWQX+x69JUlP2dmY7mB9CvUCh6MSdedFnlnpIPhsg7qcnDKiTSbcHi9N69di6/ojdOvXFLVGVWXnqHBlKIKuhmh1Grre0IRtG47QJjWeigoHCaFBWMuduNwyWlFNxdnsqTxH/kXH5jvyMalNnKgoQeXV4KfRUGlxItokTP56KrPL8Hi89B7YvCpOTeFvogi6mtKifV1cTg96r+/vUJ2BnNwKQCBMa+KM1VeX+7eCLiBQE4zN68Zq8xKh90dAoPhMJSn1o9m74yQh4SZq11EK4ldHFEFXU1JaJKBSi5w8mENUuBmp0oPX6UWvUqOXdBwt80WPFToLLzquwFmIiK9JXF6JDZULwsx+5OeUk1I/mt1b00lrnaQ0YK+mKIKuphj9dDRsEssvm4/TpEEMuRklCAiE6ozYHTLlbhcmtZkCR8H5Y9ySm1JXKQ6PCrUg4nTKlJc5iA0IQACC9Doqy+2kta1TdSem8LdQBF2NadWpPulHckmIDqa81E5UoAmNRyC/1NdPyyCazve6Aih2FiMjU+KQCNWaAIHKUgdaN2jUKgrSCxFFgRbt61bRGSn8XRRBV2PadPGlNLpKfAIONRiwVriw2X150QJ+nLZm4JF8kWMnrCcByLa6MKBDJQgIbqgotNGgTiQ7fjpGw6ZxBAT5VcHZKFwNFEFXY2ITwohLCufgzycINBsQ7DIVpb416UCNEYfbhENycMKSDsD+sgOY1WYyKp14XBCiMyIgkJNRQmJ0MKeO5dGxZ+MqPiuFv4Mi6GqMIAh06ZvCwd2ZNEyKpCSvAtHt60XnL+rJsYBKULG//ACSLHGg4iCxhgRAoLjChUFSE+JnRPbIeMvsiKJAJ6UqSbVGEXQ1J7W1L3kiwmSkvMCGIAsE6wzIbhWnLeUk+iVwuOII2fYzWDwWjKKvMXuZ1YnT6sak0qBRqyjPKiMuKZzgUFNVno7C30QRdDUnsV4kokpEZfcgSmDSaTHKGiqsbqweF3HGBE5ZT7O7dA8ATo8/AiC7RcpLHLgtbhrVi+Lk4RzqJdeq2pNR+Nsogq7m6A1a4uuEU3CqCINeQ4BGh8fupcTiAMBPDENCYkXeSkK1oeTbnZjUBkBAcMlYimzEhAVQXmqjXiNF0NUdRdA1gPopMRw/cIaE2BDEs2vLksd3az1eX7y21Wujjn8SmZZSdLIGo1oDEkg2Lzr53PvEVtUpKFwlFEHXABo2jcNS6SAiyB9LsR3ZIYFHQADy7TaMKl9kWJJ/AlnWEjxuMIlaDGoNggdsRVZ0eg0JdSOq9kQU/jaKoGsAyc1qA6Bytq2LsgAAD0xJREFUS7gqXQgeEBHxE/Vk28o4lxEdqY+hxGXDYvMiu2RC9AZUokD24VwaNo1VsqtqAIqgawBRMcGEhpspz/EtW+lUavzVWtSymmxrKXfH30WTgBRE2RcwYnN4sFQ40XgFosMDyDheQEqLhCo+C4WrgSLoGoAgCDRvX5fT+7IRgGCDAY0kIrtFDpfnkhaYxqj6/+FwuS8MVHar8DoknBVOAvRaZFlWwj1rCIqgawgtO9bDXuEg0GRAJ4u47V4qK704vB72lZ4BYEdRBv4qPbJHQPRARZENT4WTgCA/pS1sDUERdA0hpXk8AEFGHW6LG4fVjd0X4s3ukizf/4szCdeYAcE3z3aDJb+Sxs1qI4rKV6EmoNzFGkJAkB+mAAN6BCqKbQgeQBKI1AewuziLAkcl2bYy9JIeo+hbthIlqMgtJzZeaRFbU1AEXYOIiQ9FqnSBU0L0NdEgShfIgbIcDpTmAOC0g0YWMYpqTH46JKeXGEXQNQZF0DWIWrVDseRVIHpAOFuayA8DhQ4L63KPIiJQUuFEckpIDonoEDMCUEsRdI1BEXQNIiY+lLL8SgL99RhENQZRDS7fLV6QuYd4/xDyLVYcdjf2Cidmra+IvvLIXXNQBF2DiEsMQwBCA/3QyiIaWYXF7huqvbJMrDEYGRDcvjhu2e4hMNgPU4CxSu1WuHoogq5BnOsSadSokZ0SuCTSi0sxa3ydMUyirx+06AHRI1NZWElsotJZsiahvpydf/hoBQBNuzamdsOYa2KQwpUTHReCRqtGcEq4bR5cFqjQuDknWYdDQkRAdPlEXZhdQvP+aVVqs8LvI8symxZspzSvDJ1RS++7u/6l4y5L0B889hkARpOBV5eMIblDw8u3VOGaoVKJ1E4Kx1pmQxBkcPhK8XolXyx3fpmdYK0BJ060goDT4iReSci47pAkiQ9Hfn5+AA2OCro2gp6b9xmVJRbGD3qDMX1f5clPHiQ0JgRziIn4xkrq3fVA3cbRrF53CDFai+gWEBDoG5RG87gIXl31M/5oEUUvgX4iDqCukgN9XeByuDi2Mx1Jklk98yeWTV/DrU/1Z/DomxDFv14j/bIEHRQeQFB4AG+tG8/oHi/z+p1Tzr923+vDGPLswMt5O4VrQL3GMSxZuAsxXIsgC4TrDeSX2WnfvC7FtjX4yxrUEmgQ8GrVxNdVOmRUNRUllTzXeyLHfzl5ftsdYwZxz8Q7LrvhwWUJ+hzBkUF8sPU1ju5IR5Zlln62huljZuF2uhn4eN+L9jWaDahUSlreP0Vys9oIHgnB4ysWGKDWc7ykmGPFvsQMW4ULlcPXcbJBSgwazRV9BRSuEIfNidvpPv+3rcLO2IGTyTqSw6jPHiYiPgz/QD/qpCVcUfeSK76bBn8DqV2TAWjSuREarZqvxs/lq/FzL9ovpl4Uk1a8RERtxZv6TxATH4o5wIBXrcKrVqPxihy3FHOgwNfjylLhxGCTsRTZadihURVb++9i2fQ1THnkUzxu70XbtXoNLy96lha9mv7tz7gqP88qlYqnP3+EFr2aUlZYcX67x+Vh9mvfM6rLON5cM46oRMUBc60RBIHwqECsggeNLOK2e5CBtadO4qfRIEseX1ioy0tEdGBVm/uv4YePVvDBY5/RrEcKrW+8uLNnk86NqJN6dfLRr9rzliiKdBva8Tfb07qn8GyvVxjRZBT+v+rIIIgC/R/qzZDnBiqN0a4yIeFmMvKKEJwyxSU2CIYdOWeo7R9AEZWoPBKCR1ZK9l4DSgvKeX3Y+2QdOXN+myzLFOeU0nZAC1789im0Os01+/xrPoGq2yyRdza8zKKpyy561MjPKOTzF2Zjq7Rz76uXP/lX+GOCQ/3xnszFVQl2jQzBvu0GQYOAL21SdEuERpir1M6aRnFuKc/2fJm8UwV0ub09wq+80+FxoQx5biAa7bUTM/wDggaIbxzLEx+PuGibJElMefhT5kxawL6fDmE06YmMD2fEW8Mx+On/CbNqLMFhJlwWJzhFBFmFUa3G5nEjuSQC9Xok2YrgkZQR+ipw8OejzJm8AI/LQ8ahbCpLLLy65HmadqmalkJV5uIURZEn/juCoMhAdq7ci6XUytJVq8k4lM3ExWMwmgxVZVq1JzjUhODynk+hPIfN4sIoqJF1GkRBIDBYaUr3d9iz7gAv9Z+E0WwgvHYY0UmR3D17CMntG1SZTVW6ZiEIAndNuJ27JtwOwPpvN/P6nVN4utt4Urs0RqVW0fuersTUU8rjXA5BoSbf0pUXdGoVtrORYmXldvzcRvRqFfogIyq1spx4uaz9ZhMndp3E4/ayZNoqopMieWP1WIIirg8H43W1CNnl9vaotWref/hTfvx4JS6nm+Wfr2XyqrEkNqld1eZVG4JDTYhuybcOrdNTKVkB8DolXBY3fpJP9Ap/HVmW+frleXw1YS5avQZRFKnbPJHx3z9DYFhAVZt3nutK0AAdBrWmw6DWAGQfy+GZ7hN4utt47n11KDqDllr1omjUpl4VW3l9ExTqjyCDyaBFkEViHP60bBLH4oyDWMvsBLs1BIdeHyPK9YzL4WLLj7/gsrs4sv04P3y0gl53d+GpTx+6boOlrjtB/5qYetG8s+FlRveYwPsPTwN8j+lPTnuQvvd1r2Lrrl+Cw3yjr0mvpcIpUep00CqoFks4hOABd6WToHr+VWzl9Y3d6mDsgEnsWXfw/LYbR/Rk5Ef3X9cFFa9rQQNEJUYw/dB7FOeUIkkSUx+fzjsP/BdLmY3Uro1Ra9XEN45Vlr1+hVarxhxoRCeIOCqduI1e9mXm+pasPGAvtREarixZ/S/Wcis56flIkswno77k4OYjPDntIdK6JaPWqgmLCalqE/+U617QAFq99nyU2YQFo3ll8DtMe+ar8693vaM9z375uOLk+RXBYSbsHgm73QlGFb+kn8Ffq0XADg7v+VFcwUfGoSxG93iZkrwyAESVyJhZT9Dl9vZVbNnlUS0E/Wu0ei3j5j/NnnUHcTlcHNl2nG9eX4DH7WX0F4+h1qhQqVX/+hE7LCKAk4VliGd/404XlhJuMCLqNAiSTFjk9ePIqSq8Xi+yJHP6YBZjek9EVIm88M1/0Bq0RCdFVsuU4GonaAC1Rn0+kL3dgJYEhJr576gv2ThvKwAJKXG8tvR5Qmtd/49I14rQSDMHjp5BCL4QmSR6IcBPjwUIjfh3C3rVzA289+AnuBy+xfrQWsG8uWZctV8irZaC/l9uebIftepGkb73NF63l/nvLj6fEBIe9+/M8oqIDsJaYkMIDEAtingkCcnlxaDRYQEia/17vdzLpq/h3RGfkNyhAc17NUWlVtHtjvY14rtSIwQN0KZfc9r082WxtOybxpg+E3kw9RmCIgLQGrQ8MPlOmvf8++lp1YXIWkEIXhm1KKA5K2in1Y0KLX4mPf7mf08kntfr5ZNRX7FzxR5kWSb7WC4t+6Qybv7T6Ay6qjbvqnL9+t//Bg1b1+WtteNp0785SanxOKxOXhowmW1Ld1W1af8YtWqHIAAmow7pbKSYy+bBY3USHRv8r/ExeD1eJg//gAVTlhKZGEGdtARuH30T4xeMrnFihho0Qv8vddISePbLxwGoKK7kud6vMH7QG7Tu1xxRFEjp2IiBj/etsV/sc+1tdCoVkuzLchO9MpZSG01S46vQsmtPSV4pM16cg7XcSmFWMUe2n+C+14Yy5LlBVW3aNafGCvrXmENMvLF6HG/f/zHZR3NwOVxsnL+Nouxi7p98Z40UtcGoIzw6EJtHQpZkEHztcSwlVuISa24dsaIzxTzTfQIFmUVEJ0UiiAKPT72fAY/0rmrT/hH+FYIG8A/0Y9y8p4ELZVLnvvUDbpeHh9+9u0aKOqFuJLvPFKAOEPFofYIWPBIJ9SKr2rRrQkFmIc90n0BZQQWTV42t0qynqqJGzqH/DFEUeeyD+7jlyX4smLKUKY98iiRJVW3WVScswozb5kKX4+GFzh0RJRC8MmE1sLBB7ql8RnUZR3lRJZNWvvSvFDP8i0bo/0UQBB58azgarZo5kxfisDlpd1MrVCqR1G7JNSIfOyDYD5fFBX5qTmUVIeATdGBIzYjjzjiUReaRHDwuD58+OxOHxcEbq8dSr3lSVZtWZfxrBQ0+Ud/72lA0Og0zX/6O1TN/AnwOtUkrXiQgtHqPZIHB/ghen4f7ZGYReo3al1IZWP2b021euJ2Jt79zvqxVQKiJN9eOJ6lpfNUaVsX8qwUNPlEPHz+YnsM7Y7c4yDiUzZv3fMgz3ScwedVYgsKrb0RVQLAfgtc3lTiVVYROJWIMMFT7mPcN323h9WHvU7d5IiM/vB+VWkVE7VD8ApQKLP96QZ/jXPJHYpPaBISZGTtg0vlos5CooCq27soICDKeH6EdTg9GvQ5zNR+d187eyOS7ptKobT0mLh6Dn7l6n8/V5l/pFPszmnVP4bVlL1CYVcSoLuMozC6uapOuCHPABUEDiJJcrQW9fMY6Jv3fB6R0bMhrS59XxPw7KIL+A5p0asSkFS9Rml/GU53Hkne6oKpNumxMAUaQZMRzS3Juqdo2d18ybRVv3/cRaT1SmLh4DAb/6u+0vBYogr4EjdvV541VY7GUWhnVZRw56XlVbdJl4W/WIwBajW/O7HV68DdXvxLJC6cu472HptHqhjReWfQsemPNC9m8Wihz6D+hfss6vLlmHM/2eoXHWo8hMiEctUbFsBdu+U1Lk+sNnV6DRqPCc/ap2+NwV4ukDI/bwyejvuLglqNIXon0PadpP7AlL8x58poXqq/uKCP0X6BOWgJvrRtPardkgiMDqSi2MG7Qm2z8fltVm3ZJBEHA32xAln2KdtvcmK7z9XW3y83EIe+ycOoy/AP9CK0VzOCnB/Dit08pYv4LKCP0XyQhOY6xc0cBvtpTz9/4OhNvf4fnZo6k65Drt0yNn0mPLJ+NgvNI+F3Hj9wuh4tXBr/D1sW/8Mh79zBo5A1VbVK1QxmhrwC/AD9eX/YCjdvXZ9Kd77Pqqw1VbdIf4uev9yVnAIIk4+d/fQraaXcyduAbbF38CyM/ekAR8xWiCPoKMZoMvh5GXZN5854P2TD356o26XfxM+k4+8SN4JWuS0HLssy4QW+ya9U+Rn32MP0f6lXVJlVbBPncBEtBQaHao4zQCgo1CEXQCgo1CEXQCgo1CEXQCgo1CEXQCgo1CEXQCgo1CEXQCgo1CEXQCgo1CEXQCgo1CEXQCgo1iP8HUxLkUwkX7i0AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 288x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Iteration 99 lower bound -0.7981575027965695\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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MtDR1BY/GLpobOmlvsXKkLIswaEjLjCM9K460rHgycxLok5dIYkrUKQ9M5wKSoO8FXE4PpUUNHNhbT3lxI5UHmmmobSfQPa2WK2Qkp8WQnhVPWp+4oDaREUNKegyxCcazekHt2FTOO//+jtKiBhKTo7jmlolMmTW0V3OimNqtfLe1lNXby9lb1khAFImPjmDc4CxGD8xk5ID0XhfsDo8Xk8VGi9VGm81Bh8NBp91Jl9OFxeXG2n04vV4cR7hdBgIBfAGRgBhAQAABZELQnVKtkKNWKNAoFUSoVOjVwSNSqyFKpyVKqyEmQke8IYIEfQQJRj16de8O4la7i50l9WzZW8PG3VU0tVkAGJCdyMUj85g0Mo+M5BPn1Tld/D4/a5bv46N3vqemooX0PnHccOckLpxacFY0aY/Hh6mhk8a6Dppqg/mC6qtbqa9qo63Fcuh7ao2SPrmJZPdPou+AVPoNTiczJ+FHYwaSBH0YsFtd7NlexZ7tVewvrKW8pBG/LyjUE5Ijye6XTHa/JPrkJpKZm0jqOZhJsOJAE288v4KdWypITIni2lsuZMqsIb3mJme2Olm+uYRlG0vYW94EBLX2i0bkMnF4Dv37JIT9xu90OKlq66CyrZPq9k7qOs3UdZpp6DRjdh2bylgAIrUaIrUaDBo1BrUKrUqJRqlEq1SglMtRyLo9b7r7GhCDXjdev/+Q/73T48Xu8WB3e7C43Ji7B4/Ace4ho0ZNSqSR1CgjmbFRZMZE0Sc2mtz4WGL14R3sRFGkqrGD9TsrWLO9jP2VJgD69UngsvH5TB3Xj7gofVjbPEggEGDD6hLee3U1NRUt9B2Qwu2/msbgEX16pb1TwWF3U1PeQnW5ieoyE1VlzVSWNB3KFqrTqxkwJIOCYZkMGZ1N34LUc+6+Pogk6E8BURSpPNDMxlX72bm5nAP7Ggj4A6jUCvoNTKNgWCb5QzPoNzCNqJiIs93dH6Sjzcpb/1rJyq93ozdquO62i5g1b1SvaPD+QIDNe6pZsq6I9Tsr8PkD5KbHMXVsPy4Z3ZeMpPBokqIoUt9pZm+jieKmFoqbWylpbqXN7jj0HaVcTmqUkfToSNKijCRFGkg06Eky6onTRxAToSVSq0HeS7OrQEDE4nLTbrfTarXTanNgslhpNFtp6LLQ0GWmtsOMx3/YrBcboSMvIZZ+ifEMTElkYEoimTFRh1w7T5eDM6tvN5VQUmVCJgiMHpjBnIsHcdHwHBS9YNP3+wN8t3QP7778Ha0mMxdMHsDt9136g9k6zyaiKNJU10Hxnjr2F9ZSVFhDTUULoiiii1AzaGQWIybkcsGUgnMqQZwk6HtAV4edlV8WsnJJIdVlJmQygb4D0xg2NodhY3PoPzj9R5P2NRAI8M3nO3jrXyvxuL385NqxXHPLRPSG8NvgOy0Olqzbx+er9tDUZiHaoGX6hHxmXFBA38z4067f4/Ozr9HEtpp6dtY2srehmQ5HMFeLUiYjt1s45iXEkhMfQ05cDClRxl4T4uEiEBBpslipbu+kvKWd0pY2Sk1tlLa04e52TdSrVQxNS2Z4RgrDM1IZmpaMJgyzsJqmDpZuKOab7/djarcSE6ljzkUDmTdlKPHR4dfy3S4vn72/kYVvrwcRrrvtQubdMOGc1ZCPxGp2sHtrFYWbK9i5uZymug5kchkjxuUyZc4wxk/OP+sBZJKgD4HKA00sWrCJ1d/swevx0X9QGpNnD+PCaQOJjD63NfbjUVPZwrN//pLiPXUMGZnFPb+bRXqfuLC3U93YwYJvtvPtxmI8Xj/D89OYN3koF404Pe1QFEXKW9tZX17D9+XV7KxtxOULeuPkxMUwJC2ZwWlJDEpJJC8hDtUZ8C45k/j8ASpa29nX1MLehmZ21jZS1tKGCKjkcoZnpDA+O4MJOZkMSD49E9jBWdgX3+3h+12VyGUypo7tx3WXjaBvZkL4TqqbVpOZfz+1lA3fFZOVl8ivH7mcfgWpYW+nN6mpaOG7r3ax6qtdtJksxMQbmHn1aGZeNfqszfAlQf8DeDw+3np2GYsWbEKtUTJ1zjBmXzuWzJzwX+BnAlEUWbxwC2+8sAKtVsUd909jyswhYbeFl9W28taizazeXoZKIWfmxAKuunQY2amxp1ynPxBgZ20jK4rLWVlSQaM5uFCWGx/DuOwMRmWmMTIzlZiI3lu09Qb82L0ebF4PDp8Hl8+HVwzgC/jxiyIyBGRC8FDJ5GgVSjRyBTqlCqNKjVLWewOOxemisK6JTVW1bKqs5YCpDYBEg55J/bK5pF82Y7MyTmvQqzd18dHyQr5atw+Hy8uEoVncPnc8+Vnhd7XduLqYF//+NZ0ddq679UKuu/XCU87Vc7YIBALs2FDO4g82sX1DGXqDhrsfnsPFlw0+432RBP0JqK9u48nffERFSROzrxnD/Lun9LprYW/S1WHjqccXsW1DGWMm9uX+Ry8nKia8U/Dapk5e+3wjKzYfIEKr4upLh/HTS4edsseMKIoU1jWxZE8xy/aX0eFwopLLmZCTyaR+2UzM7UNy5OnbQUVRpMVpo8baRY21k0a7BZPThslhpdVpp8PtpMvtxOb94Wjik6FTKIlUaYjTRhCviSBeG0FyhJHUCCOp+kgy9FGkRBgPLeyeDq1WO+vLq1ldWsmG8hocXi+RWg2X5ucyc2A/RvVJO2XTldXu4rNVu1nwzXYsdjcTh+dwx9xxYdfw7VYXL/3zG1Z9vZsBQ9L57V+uJCnl3LTdn4zqchPP/3ERxbvrmHbFCH7xfzPPaCSvJOiPQ0tTFz+/8l/I5TLu/9Ncxk3K7/U2e5OSvfX88cGF2KxObv/Vpcy+anRYtXiL3cVrn23k81W7USrkXDN9ONfPGIkxomdZKg/SbnPwaeE+Pi8soqajC41CwaR+2UwbkMfE3D5EnIYLotntYm97M0UdJkrNrZR2tVFubsfpOzqwJkatJVFnIFGnJ0atJUqtJVqtRa9UE6FQolOqUMsVKGVylN1eNyLBQcMvinj8Plzdh93rweJxYfa46HK7aHPZaXXaaXHaaHPaOfJO0sgVZBtjyImMJT86gYKYRAbEJBKvPfUpv9vrY2NlLd/sO8CqkgocXi/JRgPzhg/kymEFJJ3iYGlzuvl4WSEfLN2B1eFm1oUF/PLqC4iNDK95Ys2yvTz/1yUIgsDvnpjHqAl5Ya3/TOHz+nnv5VV8/NZ6Bo7I5B9v3nrGXEolQX8cnnhoIVvWHuDfn91NSvqpmxvOBVZ8tYvn/7qEuHgDjz59Ddl5SWGrOxAQ+fr7Il5cuB6LzcUVlwzm1ivGnvKNvru+iQVbd7G0qAyv38+ozDTmDhvA1Py8U/IvF0WRcnM7W0x1bGupY1dbIzXWrkOfJ2r19I2KIy8qjj6GaDIM0WQaglq1Wn5mFs/cfh/NDiv1NjM11i4qLe1UmDso7WqlwX7Yjzs1wsiw+FRGxKcyMiGNAdEJp6SROz1eVpdW8llhERsqapAJAhf3zeLGscMZ3SftlASP1e7i7S+38NGyQtQqBbddMY6rpw4Nq5dOc0Mnf3poIZWlJm69dwrzbpjwo41g/fqTrfzrz1/ymyfnccnMoWekTUnQ/xdVpc38Yt6LXH/nJG64a3KvttWbiKLI2y+t4qO31zN0VBZ/+NvVGKPCZ7+uM3Xy59eWs7u0gcF5KTx04yWnNHUXRZENFbW8vHYzO+saiVCpuGLoAK4bNYTs+Jge19fpcrKusZLVDZWsa6ykwx30vknQ6hkRn8rguGQGxyZREJNIlPrcNsWZ3S72d5oo6jBR2NpIYWsjjY6g8I9UaRiflMlFqdlckpZDgrbnZri6ji4+3rmPT3fuo9PhZEBSAndMHMWl+Xmn5LJZ09TBs++vYdOeavIy4nnszunkZZy+V9VBXE4PT/9xEetWFHHpnGH86g+zf3R2ewja7u+99hWsZgfvLH3gjAxYkqD/L3ZuKuf3d77DP9+6lUEjs3q1rd7C7w/wwhNL+HbRTmbMHcFdv5kZNjc1URT5cu0+nn1/DQq5jHuvu4hZEwtOSTBsqKjhhe82sruhmWSjgVsmjOCKoQU91t5bnDa+rTnA1zUlbGupJyCKxGp0XJiSxbikTMYkppOhPz/2nW20W9hmquP7pmrWN1XT7LAiAMPjU7k0vS8z+vQjXR/VozpdXh9L9hTz5sYdVLd30i8xjl9dMoGL+2b1+DcTRZE128v5x7ursNrd3DlvPNddNiJsrqyiKPLeq6tZ8PpaLpg8gN/+5cofjUvzkbz+1FK+XLiFL7c9dk4L+h/fLxsihsiglmfucpzkm+cmfp+fJ//wGetXFnHtrRdy4y8uCduFZLW7+PPry1i7o4KRA9J59M7pp5QjpayljSe/XcvGylpSIg08Pmsyc4cOQKUI/bJy+318W1vKR2W72dRcgwjkRcZx96BxXJKWy+DY5LAsavpFP50eKx0eMx0eC1avA5vPgd3nxOV34xX9eAM+/KIfASG4s5QgQy1XoZWp0Co0RMi1RKn0RCoNRKsMxKqiUJyiB05KhJHLswu4PLsAURQ50NXK8royltWW8uTO1Ty5czWjEtKYlzOIWX3yiVCefNDUKBVcNWIQc4cV8M2+Ul5cs4lffLiYoWnJ/H76xQxOC93cJwgCk0blMbRfKn97eyUvLlzPpt3V/OWumcREnv6MUhAE5v/8EvRGLa8+/S0up4fHnrrmR7eXrbnLgSFSe84rH+etRm+3uZg/7SkKhmXypxdv6NW2wo0oijzzp8Us/7KQ2+67lKvmTwhb3bVNnTz47CLqW8zc/dOJXDNteI+1eIfHy4trNvGfzYVEqFXcddFYrhk5qEcCvtFu4d2SHXxSvocOt5N0fSRXZA9kVp/+9I061kwgiiJujw+bI7hZisPZfbiCG4EcPKxeOy1iGx1CJ2a5Gbvcil1px610cqKtnQS/DCEgQwgICKKAKABC8L4IyP2I8sDxC4qg8WnR+iIw+o1Ei1HECtEkyuKJURvRaJRo1Ep0GhU67eFDr1Oj/IGZWZ21iy+ri/m8ch8V5nYMSjVX5w7mpv4jSDeEruV7/X4+LyzixTWbabPZuW70UH59yXj0GnXIdUDwt/9qfRH/fGcV0UYd//z1T8ISIHeQpV/s4Lm/fMn4i/vz8N+v/tGYcSxdDm6e+QyDRvTh8Rd+dkbalEw3x+Hjt9bx1nPL+dvrNzN0TE6vtxcu3nh+OZ/8ZwPX334R839+Sdjq3VZUy+9eWIJcLuNv985mWP+0HtexuaqOhxcvp77LwrxhA3lgygVER4RuIy/rauOlvZv4qroYEZHRUelM1GeQ7NFjtbnosjgxW5x0WR1YbW4sNhc2uwur3X0oR/thRGRxXhSpbuQpbhRJbmTGw6kGRLcMwaJCsKqQO9TIXSoUHhUKtwqFX4Xcr0DuVyBD1r25loAAh7xuDu4j6wsECMj9+GQevAovPqUbv9qLX+smoPMg6j0Q5UWmPdy/gFWO36TC16zGV6sh0KrkyJFGrVKgj1BjiNBgNAR3wIo0aIk0aoky6og2aomK1NEss7GsvZyVjeUEEJmansc9g8YzMDZ07dzmcvPcdxtZsHUX8YYIHps5mcn9e34/FFeZeOjZxdgcbv74i8u4aERuj+s4EYsXbublfy5lyswhPPjHK855DRng1X98w+IPNvHyJ3fTJ6/3032DJOiPi9vl5edzX8Bhd/PUO7eTnhU+LaS3WLFkF089/gWzrxrFXb+dGbYL/vvCSv7vhSVkJEXx1P0/ISU+skflff4AL6/dzL/XbSEzNpo/z57CqD7HHyhEUaTL4qTRZKbB1IWp1UJFaxtr/DVUR1iQ+UFXLaCvlKFwHn1+Wo2SKKOWSIMWo16LQa/BoA8KxAidCrVORqu2hTp5HZWBGmxiMM9/jCKSvvpMcg3p5BjSyDWkEa0K7+5MP0QgEKDDZaHC0kC5tZ5yWy2VznrafJ3B80JDmphGijuFaGsCHlsAq92N1ebCandhtrowW510WRz4fMfOIEQd+PrJ6Ujx4lUE6B+I5fLo/gxMTiYlMZKUxEi0mh827+ypb+bRJSspMbUyf8wwHpw6sceBV21dNn7z7JcUV5l47M7pTJ8QPpfl919bzXuvrgn7LLY3WL5oB89yCgMIAAAgAElEQVQ8+gUzrhrFvY9cfsbalQT9CWioaePBm95ArpDx1Du3n7NJlgDKihu5/9Y3yR+UzpMv3RC2KezaHeX8/l9fkZcRz/O/mUukvmdeKu02B/d/+g1bquuYO7SAh2dMQqdSEgiINJq6qKhppaq+ndqGjuDR2Imje4tDUSZizROx5gVAgL6OaC5QZJAeE0VctJ7YqAiiI3VER+mIMupQH2dBzhvwsbWjiLUtO9jWUYQn4CVCoWVEdD4jovMZHJVHgqbnnj1ngg6PhV2dByjsLGFnZwldXisKQc7w6P5MjB/GhLihqOWHBbQoijicHjrNDjrNDjrMDto7bbR32mntsNHUYaZQaaIhwYEoA32VgLFEhswnEBsVQUZqDBmpMWSmxpCVHktOZjwxUYfdZD0+P0+tWM9/thQyJDWJZ6+aSUqUsUfn5HB5eOCZRRSW1POH2y5l9oUDw/JbiaLIX377MRvXlPDkS/MZOurcdKJYv3wfT/7mI4aOzeHxF352RheRJUH/A1QeaOI3t7yJXCHn0eeuo2BY5hlrO1Q8bi+/uPbfuFxeXnr/zrBFu+4ubeCuJz+lb2Y8zz80F0MPg5/qO83c+t7nNFus3DNhLGlCBCUVzRSXN1NR04rLfXjrw8Q4Q1DQpMSQmhSFyxjgNdN26p1mZmb257fDLyajBzZms9fG143r+brxe7q8VqKUhm7hOIR8Y/YpL4SeLQJigBJLNRvadrGhbTet7k6MigimJY9jRvIFPRqsTHYrf9++hi9qiohRaJmj6IeyRaS2sZOahg6sNteh78ZE6cjLSiA/J4n+uckU9E1ia0Mjf1i8HK1SyRs3zKVfYs9yJLncXn7z/Jds3VfDP391OROHh8c0are5+NVNb2Czunjtk7vOqSh2URT59J3veeu55eQPSeeJV25Cozuz+9tKgv4k1Fa28Pi9C2hp7OKeR+Yw7YoRZ7T9k/HmCyv4+N3veeKl+YwYG56bpqGli1se/xBDhJo3H7u2R5q8KIqs3VvJb5Z8i9PrI6FJhrstmOtdo1bQLzuJvtkJ5GTGk5MZR5+02EOmA38gwKtFW3hm13ritRH8c/xMLkjpE3LbTc42Pq9fxUrTVjwBL6NiCpiVMpFh0f2QC70j3AOiD1/AiV/0IghyZMiRCUrkgqpXzD+iKLLHXMaShnVsad8LCFycMIKrMy4lXRe6vXdHawMPfP8VNdZObh8wmgeHXYRSJqPL4qCqtp3ymlbKq1s4UGGiqr6dQCB4v2ekxJDZN47vbPUEgDduuIIhack9OgeX28udf/2YmsYOXnvkmrAt0JYVN3Lvja9zyfRBPPSnuWGp83TxuL08/8fFrPpqFxdMLeDBP195xoU8SII+JKxmB0889BGFmyu4cNpA7v7DnLAGH50qVWUmfnndv7l09jB+/Wh47H1en5+bH/sAU7uFNx+/LqQc8aIosvdAI2s3l7JqeykHIoP27+wuLWP7ZTJ0QBoD8pLJTIs94UbdDq+He9d/ycr6cmZm9ueJsdOJVIc2i3D5PXxcu5zP6lcBMDlxND9Jm0SG7vSjgF1+M12eSrrcVZg91dh9zTh8bTh8rbgDFgLi8TeqlglK1LJINPJodIo4DMpUjKp0jMp0YjX90ch75ut+PFpcHSxuWMPSpo14A14uS57ADX1mYlCGFpls93p4YsdqFpQWMiYxndcnXYlRdexv7nR5KK1sYV9pI7uK6thT0oDF68GcJUNQybit/xB+eskwUhJDP6fWThu3PP4BcpmM95+4Ab22Zx49J+Ldf3/HB2+s5e//vpGho7PDUuepUlrUwNMPf0ZNRQs3/PISrrtz0llbLJYEfYj4fX4WvrmOD19dQ2SMjgf+ciXDx4bPe+BUePje9yneU8fbi+/DGAYfZYCXP/6ed5ds5Z+/vpwLTzKtbm618O2aIr5ZvY9Gkxm5So69nxKfXOSVq+Ywtn9opq4ut5NbvvuUXW2NPDZqCvP7DQ/5htjaXsQr5Z9gcncwOWE0N2bNJlbdswXjI7F46ml27qTFuYcW126s3oZDnyllOiIUSUQoEtAp4lHLI1EIWhQyDXJBhUiAgOgjIHrxBKy4/GZc/i4cPhMWTwM+8XBshl6RQpwmn0TtUFJ0YzAoU09ZCJg9Vj6oXcY3jesxKvX8PHceF8QNDbm+xZVFPLjxa3IiY3l38tUk6n44NsLvD1BW1cKyLcW8eWA3Pl+AqIoAw/ulMePigVw8ri+6EBJ27S1r5I4/f8TMiQN4+PZpIfX1ZHjcXm654l/Exht47p3bzopg9fsDfPL2et57eRXRsXruffRyRk/sd8b7cSSSoO8h5cWN/ON3n1Bb2cq0K0Zw871TiYrtne3Wfoi9hTU8eNtbYfU0KKk2cfOjH5z0xms0dfHaB9+zakMJogjDB6Yz/eICvqgvY1NVLW/cMJexWekhtWn1uLl62QIqzO28cOEcpmeEdkP4RT+vV3zBksZ1ZOiS+GXuVQyKOrVkV05fB1XWFZRbvqHTUwaAWh5FgmYwCZqBRKlziFZlo1Ocem53URRx+Tvo8lTT7i6hzVVMm6sIuy+4fZ9RmUG24VLyIuegU5za3gCVtgaeL/2AclsdkxJGck/eNUct2P4Q6xur+PmaL4jRaPn8svkhJ1ErajRx/VsfE6vSEFcDDc1mInQqrr18FD+dNeKkHj0HFYvnfzOXsYP6hNTmyfh20Q6e/fOX/Om56xkzsW9Y6gyVA/vq+feTX1Gyt54Lpw3knkcuPyfWCyRBfwq4nB7ee2kViz7YhC5Cze0PXsbUOcPOqPbwl99+TOHWSj5Y+gBqTXiiAu/5+2ccqDbx+dO3otcdO5Xusjh499PNfLFsF3KZjHkzhvOTaUNITohk0a79/N+iZfx++kXMHzs8pPb8gQC3rf6MdY2VvHXJVVyUGtpU2+Fz8feSd9jesZ/LUy/m5qw5KGU992DodFdQ1PkhVdblBPARq84n23ApqRFjMCoze/3/FEURq7eBRscWamxraHbuQEBOpn4S+VHzSND2PG+5X/Tzce0K3q/5hr6GTB4vuINIVWjRy7vaGrl2+Yf0j4rnw2nXoQkxsdtXe0t48LOlPDR1IqNik/lw8TbWby0nNjqCW64ez8zJg05osvP6/Fz10NsY9Rre/dP1YfnNfV4/82c/S2Z2Ak++PP+06wsFh93NO/9awZIPtxAVG8HtD0xn0ozw7/VwqpyqoO8ODDmzx4gRI8Rziepyk/jr+a+K0wb9QXzoljfE0qL6M9JuR5tVvGzU4+IrTy8NW53b99eKo3/2tPjBN9uP+/mOPTXijBtfFCfOe0r828vfii1tlsP9sTnE0U++JF77xkLR7w+E3Obfd6wRM999UnyvZGfIZWxeh3jPjr+Ls9beJ37dsD7kckfV4WkWVzX8VnyndJz4ftkkcbPpabHDVXFKdYUTs7tO3NrynPhB+aXiO6XjxGV194gWT8Mp1bWhdZf4k/X3i7dt/ZPY6bacvEA3S6tLxMx3nxR/s+HrkMsEAgHxrg8Xi4P+9LxY094piqIo7i6uF3/+uwXihLn/FG/77Xtie6fthOW/WrdPHP2zp8XV20pDbvNkLHhjjXjp8EfFmsqWsNV5PPx+v7hySaH4s6n/EKcPflh88a9fijars1fbPBWA7eIpyNywZCgSBGG6IAgHBEEoFwTh/8JR55kkMyeBp96+jXsenkN1mYl7r32FZx/7gq52W6+2u2ltCX5/gKmzw5fi9PNVuzHqNcydPOSYzzbuqODBv35GdKSOd56ez29/MY342MNa4rubd2Jxufnj7Mkhp0Uo7Wrl1aLNXJUziJ/1GxZSmYAY4OkD71Ftb+TRgbczI+WC0E7uCGpsa/mydj5Njm0MjbmdK7O+YEzC/USrz+7CHYBRlcao+PuYl7WIUXH30eYu5sua+ZSZlyD2cAY9Pm4Ifx10F23uLp4sfgtfwH/yQsD0zH78vGAsH5XvYaupLqQygiDwyIxgJPbr328DYHD/VF7+67U8/utZVNW2cdcjCzG1WY5bfvqEfJLjjHy2cndI7YXC9MuD6zzrVhSFrc7/5sDeen79s9f45+8/xRil4+n/3M5dv59NhP7U9mE4FzltQS8Ighx4CbgMGABcKwjCgNOt90wjk8mYefVo3v76fubOn8CqJbu4ZfazfPLWelzO09uR6ERs/b6MhKRIsnLDEz5tsbtYu6OC6eP6HxN49P22cn7398VkZ8Tx0l+uIfu/0s7aXG4WbN3N1Pxc8hJCty0/vnUleqWa342YFHKZT+tWsqV9H7dlX8GomIKQy0FwBrq19TnWNP0OgzKV2RnvMiT2ZjTyU1+47S2UMi0Don/KnIz/EKfpz8aWJ1nX/CgB0XfywkcwIDKbe/OuYZ+5gjcrF4Vc7r4hE0iNMPLo1uX4AyfI1/NfJBr1XDmsgEW79mOyBBUdQRCYckF/nn5kHh1ddu56eCGt7dZjysplMmZfNJCtRbU0tHQd8/mpEBNnIH9wGpvWlISlviMxNXby1MOfcd/1r9DS3MWDf7mSfy38BQOGZIS9rbNNODT60UC5KIqVoih6gIXAmYsJDjMRBg23PzCdf392NwXDMnnzuWXcNuc5li/eeZxcK6eOKIrs21XDsDHZYbP/bSuqxevzM3Vs/6Ped7m9/POVFeRkxPHcY1cTaTh2UWlNWRVWt5ubxoVmlwco7mxhY3MN9wweT4wmNG+hLo+VhbXLmBA3hNkpF4bc1kF2d7xJcdfH5EddxWXpr2JUhZavJxAQsbs8tFps1LR2UtrURlFdM4VVDWwrr2NLWS2bSmvYeKCGzaW1bC2vY1tFPbuqG9lfb6K8uY36djPtVgdOj7dHmrlemcylqS8wPPbnVNtWsaPt5R6f96TEUcxKmciSxnXUOUwhldEqlDw47EJKOlvZ1Fwbclvzxw7HGwiwbH/ZUe8PyU/j+cevpsPs4N/vrztu2cvGB1MibNxdFXJ7J2PkuFzKDzRhPyII7HSwWpy8/vS33Db7OdZ+u5erbp7Im0t+zZQ5w5CFKQ3zuUY4YndTgSPnhvXAmP/+kiAIdwB3AGRknPsjZnpWPH9+aT57t1fxxjPLeOaRz/nivY3c+qtLGTEh77SFs6mpC6vZSd8BqWHqcTAKVq1SkJ999Axh8fLdtHfZ+dODs9FHHN/PeU1pFTE6LUPTUkJu7/OKfShlMuZmhx4C/3n9d3gDPub3mdXj37DevondHW+Ra5zJqLhf4Q+INJjNNHdZae6yYeqy0mZ10G510G6zY7a7sDjdmB0u7O7wzspkgoBBqyZSp8GoVROt1xGr1xFr0BFvjCApykBipJ6kaAOxeh2CIGNQzHwcvjb2dy0kVt2fbOOlPWrzuozprGjewie1K7i/f2jZEi/L7M+jW1bwWeXekIPWsuKiyYqNZm1ZFfPHHm2O65+TxFUzhvPB4q3cNG8cGalHR/OmJESSFGugsKSBq6aGZso7Gbn9g9dkZZmJQacR1e5xe1ny0VY+fG0NdquLKXOGMv+uycQnnX4sxLnOGUvSIIria8BrEPS6OVPtni6DRmbx3II7Wb98H28/v5yHf/kfCoZlctM9U05rQ5O6qjaAsJltAEqrW+iXmYDyv3LkrN5USn5uEkPyT6z97qxtYGxWeo9SFq9trGR8Up+QtXmANS3bGRM7iLQeRH86PV4qmtsptL+Azx/PB1/35UnTOzR0WPD9l0lCq1ISa9ARo9eRGKUnLzmOSJ0GvUZFhFqFTq1Eq1KiVipQKeSoFAoU8uBesQfz3ouIBMRgojKvP4DH58fj8+Hy+HB6vDg8XuwuDxanC4sjOJC0WewcaGylw+bA918zP51aSUZsFBnxUWQnjCK6z062trxEum7yMf/VDxGpMjA5cRQrmrdwb99rQ0oBoZErmJqex5qGipDbARiXncGiXfsRRfGYAfmns0ewYNFW1m4p44a5x+h0DMxNprgqtFlHKPTJDe54VlfVekqC3uf1s2zRDj58dQ1tLRZGjM/j1vunkd03fNtxnuuEQ9A3AEc6W6d1v3feIAgCF04bxLhL8vn2sx18+PoaHrrlzdO6YLo6glGn0WH03W/tspOfdawANbVaGDn4xDeI1++n2WIjMzb0hG/+QIBqSyeTUkNP19DuNtPuMTP4JH7ydW1dbKuoZ09tE3tqmqlobiciws6dP6tha+EQOjrd9EuNZ+qQPNJiIkmONpIUpScx0kDESfy9extRFOm0Ow/NMpo6LdS1d1HbZuZAQysr95STnxfLZZdUcsXzfyZOM4DBGUkM6ZPCyJw0InU/vABYEJnLN00bqHU0k60PbTbYPzqezyv30eV2hrztYmZMFA6vly6H65g01DFRERj1mhMuyibEGFi/s+K4g8SpEBUdjAWw9HAToUAgwPcrinj7hRU01XWQPySdh56Yx5CzHGl7NgiHoN8G5AmCkEVQwF8DXBeGes85lEoFs68Zw9TLh/HVR1tZ+MZafjnvRSZeOpDr75zUo5zUNmtwD1S9MXwr+11WJ9HHsb9bbK4TmmwAOh1OAqJIvD70zcDbXHY8AT9p+tAXQeu7bcv/ndLA6/OzsbSGdfur2FhaQ327GQCjVs2gjCQmD8whPb2CTuDPV9xLgjZ8qXHDjSAIxOiDM4oBacdeDy6vjwPNFexy3cy00TI27fTz3vpC3l6zA5kgMDA9kXH9MplUkMOAtGMDuw7+dg1OU8iCPr37P2qwW0IW9AmG4LXQarMfd78Bg15zVOK0I4k2anF7/bjcPrRhiA1Ra5QoVQpsIdroA4EAm1aXsOCV76g80EyfvET++OINjJ7Y95zxhz/TnLagF0XRJwjC3cAyQA68JYpi7/lCnQNotCrm3XQB0+aO4PP/bGDxgk18v6KIi2cM5sa7p4SUClnRPWUPhHGBV6mQH2M2AMhIjaGmvuOE5dTdO0N5/aG57gFoFMEb2O0P3YNEpwgOau6Ah0BAZFtFHd/sPMCKvWVYnW50aiWjc9OZf+FwxuRl0Cc++pApqcmhYnkD+MUf59aQB9EoFfRJ1LCrBmYMGcU9Ey/D4/NRVGdiU2ktGw7U8PrKrby6YguZcVFcNqwfM0fk0yc+eE25A8G1Bq08dAXB1f0faRWhC11P97WgUR4rIlxuL00tZi6dePwB92A+faUifAubfn/g0D3zQxRuruCt55ZRtr+R1MxYHnpiHhdfNhj5CQK9/lcIi41eFMVvgG/CUdePCYNRy413T+GKn43n03fWs2jBJtYv28eUOUO55raLSEo7cdpZVbem43R4iApTKnWtWonN6T7m/b5ZCazdUobb4ztuvnedKtgXsyt0rwaDUo1MEGh3hS54I5VBM9Wa8hL+tq6Q8uZ2dGollwzM4bJh/RmXl3FCm7VeGVyQa3eXkKw7tzKP9pQ2134ADMqgRq5SKBiWlcqwrFR+OW0cXXYnK/eWs7TwAK+u3MIrK7YweVAud0wZTZsquJHJwd8yFA7+R5HHSXR2Iszd11GE6lhT2L4DjQQCInlZCccta3d6UCrkIQnmUPB4fAT8gR/M+75rSwULXlnN3h3VJCRH8sCf53LJzCE/mm0Je5vzdnPwM4kxSsctv5rGnGvH8fFb61j62XZWfrmL6VeO5No7LiY2/tjQ9cSk4HTa1NhF8g8MCD0hLTGKmsbOY96fOjGfr7/bx4r1xcyaPOiYz5VyOdlxMRQ3tYbclkwQGBSbFHIwjiiK7DrQBk41y9u2oRcL+Ou105g6OA+t6uSapl6RTJJ2BPs63ifPOBu1vGebZZwr+AIuCttfI1qVS5zm+OEmURFa5o0dxLyxg2gx2/hk0x4WrN/Fqr3l9L/ETkSUjqyI0L21tprqSNNHEhOi2QaguLmFGJ2WmOOYbT5bWkikQcvooX2OW7amqYP0HmTAPBktTUGf/PikY82ExbvrePdfK9i1tZK4BCM//+1MZswb+aPbZLy3+d+ez4SZuEQjv/zdLN755n6mXTGCpZ9t45aZz/DqP76ho+3oAJOUjFgA6qrbwtZ+bnoc1Y3teH1Hm2BGDMogKz2WT785cSzAkLQkCusaj2v6OREXJmexq63xpFq9zeXm1+9+xQP/+Rp5WyyaOBfP/XIqc0YOCEnIQ9D2PSr+HtwBC5tb/tnjoKNzAVEMsLX1Wew+E6MTfo1MOLmelRCp567p41n28K3cNn0Ydl0rLeUKFqzbFZIvv9PnZVNzLROT+4RsnxZFkZ21jQxOSzqmTENzFxu2VzB7yiA0xxGmoihSWttKTvqpJXQ7HvU17QCkpB9WiA7sq+fRu9/j1ze8SnW5iZ//diZvfXM/P7l+nCTkj4Mk6HuB2AQj9zwyh9cX38fESwey+MPN3DzjGd58dhnmzqC3TXyikZhYPft2hR7IcjKG9U/D7fWzo/hoLVsQBG6YO4by6laWrNp73LKT+mbT5XSxvrw65PYuzy4gIIq8uX/bCb9T09rJ9S8sZE1RBffPmshbc3+BQaHjxfKF+MWerU/EqPsyPPZOqm2rWNn4AB6/vUflzyZ+0cv3pr9QZlnCwOgbSNL2zMdcr1FhSSlDpZBToBjIU0vW8fsPv8Xl/eEBb0FpIVavu0exDnsbTNR0dHFx36O9U0RR5Pm3vkOtUnDlZcfvf1ltG6Z2KyPyQ8t6Ggr7d9cil8vIzkuk8kATj9/7Pvdd9wole+q46Z4pvH1QwJ/BLf1+bEiCvhdJSY/lwb9cyeuL7mX85AF8+s733HTZ07z30irsVheDR/Zh787qHuc/ORGjB2agVStZs738mM+mTsxnWEE6ry5YT3vnsQJyUr9s4iJ0LNy+J+T2ciNjmdknn3dLdtDqPLbOqpYOrn9hIR1WB6/eMZebJ40kThvJHTlXUmKp5tO6lT07QWBQzHwmJP6BZsdOltbfSbsr/KHx4abDXcay+l9Saf2WobG3Mzz25z2u49vmjWxu38uNWbN48bqfcvf08Xy1o4Q7X/v8mBncQaweN68WbWF8UiajEkMXvB/t2INWqWDWwKNTTa/dXMbGHZXc+tMJR+VIOpLvtpYiEwQuGhG+PR4Kt1WRlZfIs499wS+veol9O6qZf/dk3ln6ANfcfjHa42RolTgaSdCfAVIz4/jtk1fxyuf3MGJ8HgteXc2Nlz2N1+WlvdVK8d76sLSjUSm5eGQu324oxmI/emFVEAQevGMKHo+PPz731TEmHKVcznWjh7C2rIrtNaH351dDLsAb8PPghq8JHDFgef1+/m/BUgTgg/uuZUze4WjoSQkjuTB+OP+p/oolDccPpf8hco0zmZLyNC5/F1/V3cLapkfo8lT3uJ7exu5tYaPpbyypvQmLp44Lk/7EkJibe+zi951pGy+Vfczw6P7MSb0YQRC4c+oYnrhuOjsrG3hlxZZjyoiiyCNbltPucvDgsNBTTZS1tLFo136uGFqAXnNYgDa1mPnbv5fRLyeReTOOr827PF4Wrd7DmEGZxIRpA53tG8soLWqgoqiBbetLueb2i3hn6QNcd8ckdD/gMixxNNJc5wySmZPAw89cS0VJEwte+Y4NK/eDUs7rz3zL3165KSz56K+fMZKlG4r5dMUubvnJ2KPbT4vlgdun8MRL3/L2xxu57dqjs0bePG4En+zYxxNL1/Lx7deeMPf4keRGxvLIyMk8snU5r+zbzC8HjQPg9ZVb2V/fwrM3ziI97uiFOUEQuL/fz/AEvLxS8SlOv5ur0qf0SACmRIzmisyFFHV9wP7Oj6mxrSbLMJU842wStEOQHbG3rCiKtDkdNNtsNFktNNtsdLlcWNxuzG4XTq8XXyCANxAgIAaQCzKUcjlKuQy9UoVRo8GoUhOr05GsN5Ck15NiMKI/jkeKKIq0uvZRZllCpeVbRETyo65mSMzNPV5AFkWRFabN/Kt0IYMic/nDgNuQC4f/k9kj8tlSVssbq7Zy0YAsBmce3vP1k4q9LKoq4v6hExkeH9rCrSiKPPntWiLUKu65eNyh9z1eH48+E8y8+af7Z5/Qm+brdfvptDqZP2tUj87zeLQ0dfHha2tYungnCAKzrh7FDb+YTGR06LEeEof5n9545GxTtr+BR+9bQEe7jSijlmtvv5gZV406bVvjg88uZsf+Whb+7SYSjzPFfuLFpXyzuog/3j+LyROOToC2bH8Z9338FbdPGMkDUyeG1J4oity9bjFf15Tw17HTuCp7EBc/9hpj+2bwzI2zTljOF/Dz9IH3WNe6kzGxA/lV3+sxhrhP6pG4fJ3s61zAAfPn+EQXCiESn2cgtR2Z7G3WU9JmxeY5NtdNhFKJUa1Gq1SilMlRyuXIBAF/t9D3+P3YPG4sbvchv/IjSYrQkxsTS26skfyELmL0FXR6t2H3NSMX1OQaZzIw+nr0yp5tug1g8zl4uewT1rbuYEhUXx4tuB2N/FgN1uZyM+OJtxmdm85T82cC8G3tAe5eu5jRiem8N+WnyENM1PXOpp38bdlaHpkxietHB1Nni6LIX/61lGVr9/PXh+Zw0dj/Z+88o6MquzZ8Tctk0nsnIQkJSSih99679CaCiIAoNsSOiooNEFEEVGyAKB3pvfcSQijpCaT3OpOZybTz/RgMxCQklveV73WutWa5POfMaWTu85z97H3v2js9lVdoGf/KjzTydOKbtyb86cKkovxyfllzkgPbriAAYrmU5q0D/muNRx52/mzjEcuI/h8kJMKXj756nNnjVyK3seKrT/ayY/1ZHnumL72HRP7pIo95j/Zi4utrWbruGItfGFHjRzd/dn8yc0v5YMV+PN0daB56z8hsYEQIE9u1ZM3ZK7Rq5EPfsPotDkQiEcu6DUNj0PPmhYMkZRei1FYypuODJwClYgmvhE0jzKEx36fu5Jmoj3i6yXg6ubb4Q0JRrJFwI6sLJ++4Um68SrB7GqHuF/D3PIufh4i+el+sRWE4WTXBy7YJ/vahuNu4IP0DToVag54ijYbM8jxyKm6Tr6xyJB8AACAASURBVL5DuT4BkeQOjjb5qCVGylQSMkt8EJuG0cp9MC2cmmEr++OWDNdLk/gsYQOFlaU8FjCUcf79q43k78fOWs6AyFB2XbmFulLPqdxU5p7aSQtXL77uNbrBIh+VlsXSw6fpFxbM5Pb3ehms3XaBgydjeXJS1zpFHuCrLWcpU2r4/OXRf0rkleUatv5grkUxGkwMGNUGJ3d7Nqw5yZTZvf7w/ixUxzKifwh4/5VNXDmXzPOvD2P7urMkx2XTKNCdx57pS/f+zf7UD2f93st8ufE0b8zozyO9aubOl5armf36z5SrtKx4dwJNGt/zp6/UG3j0h80k5xfx7WOjaBfQMCtgrdHAUye2cyIrFUWRlKi5z2HTQKFLUWWwLGEDdyqyaeHYhCeCHiHUvm5/nkqDgV2J8Wy6eZ2ruTkANHF2oZNfI9r5+NLK2w2ZNI0cdRS5mqsUaeMwcS9DxUpsj0LqikLiilzigFRkjVRsjVhkhSAYMWFEEAzoTEoqjeVUGstRGwqoNJVV7UOMFFfrprjKm2M0hJJU4EJUTgHnM9Ip0miQS6T0CQxiWmRr2vvU3zQ8RZXBujt7uVIci5e1Ky+HTSXMoX7jvLPxd5i9ZjtDh4WxOeM6rdx8WNdvAvZWDYthx+bk8/jarTjbKNg6azL2d2Pz2w9Es2zNUQb2jGDBs4PrPP9TV1N4+bOdTBjYmnlTGt6XAECjrmT7urNsW3cWtaqS3kNaMnVuP+wcFMwYvYKAIHeWfDP9D+3zfxlLz9j/x+RmlzBr7EradArm7aUTOHc0jnWrjpKekk9oc1+eeH4ArTo23DwMzKZjLyzZwbWETL59exJNG9esYszOK+WZBRvRG4x89eFk/LzvWTcUqdQ89uMWcsuVfDtlFG38Gxbn1RmNDP35B5KEQtq5+7Gy5yN42jSs16nBZORA7jl+TttPmV5FO+cIJvgPINwhsEpkyrRaNtyIYW1MNAXqCkJd3RgRGsbgkFACneq2njAKepS6TMr0aSj1Waj0uWgMRWiMhehMKgwmLUZBi1HQIUKCWCRBhBQriR1ysQNyiQMKiRt2Mm/sZT7Yy3xxsgpEIq4ppkaTiaicbPYlJbAnMYFirYaWnl482botg5uE1hhlp6gy2Zx+iDOF17CT2jCuUT+G+fTAuoENwa9mZDLu158xOpoYGdiMjzoParDdQUJuAVPXbsXWSsb66ePxdTLPIxw6Fct7n++jW/tgFs0fUWdcPiOvhGlvbaCRlzPfLJhQa+V1bej1Bg5si2LDV8coLa6gS59wpjzdt8og8MuP97B32xW+/Gk2wU3/eOjrfxWL0P8/Z/PaM3z3xWFe/2gcvQY0x2g0cXR3NOtXHaMgt4xWHYOY8eJAQv6Af31JuZqpb/2EIMA3b03Ax71mZWF6VjFz3vwFG4WMFe9NxMv93oRhvlLF1B+3klum5ONRAxnUrO5X9/t59rud3FTnkuuqwkos4fW2vRnfpGWVDXB9qA1a9mSfYkfWccr1FQTb+dHfsxMijQvvHj9NkUZNz4DGPNmmHV38/B9qoyqtQc/2uFi+jY7iTmkJbb19+HTAYNxsrTldEM2B3HMkKtNQSOQ84tuL0X59sJU2rIJVEAR234njnYuHKdFqeMQzguWDhjf4fpxLSeOFLXtRyGT8NH0cjVzMk+anLyWzYOkuIsN9WfLmmDrFu6isgqcWbaZUpWHd+1Pwdqt/stlkMnF833XWfXmEvOxSWrRrzBPPDyQ88l7657XLt3ltzlqGj2/PM68MbdC1/FuwCP3/c4wGIy/N/IH01AJWb5yDp7f5R6er1LN382U2fnuCshI1PQe1YNrcflWVtfWRlF7A0x9uxt7Wmq8XTMDduaZHSnxyLi+8uwUHe2tWvDcBz/t+sIWqCp7dtJvojBzm9urE0z061etZ/+6WIxy7mcwPL43ntfP7uZSXQSs3H97vOIAWrg23dNYaKzmWd5k92WdIU2cjCIDWkcnBvRnVuHODBfFhwCQIbI2LYVn0fhSO5dg7aDFixN/Gi4Fenenr2RF7WcNTEpNLC3nvylFOZd+mib0r2VfKWf3oKHpG1G/BKwgC6y9e45ODJwlyd2H1pEfwczYPAs5cTmHB0p2EBnqy7K2xdbqelldoefrDLWTklvDFq2OIDH3wAEQQBKLOJfP98oOkJuQSHObN9Of612jiU1qsYs7E1djaW7Ni/SxLjvzvsAj9/wC5WSXMmbQav8ZuLPn6cawV917dK1Ratv54hu3rzmI0mBg6vgOTZ/dqULrZrZQc5n68FVcnWz5/eTS+HjV9SGKTcnjxvS042ClY/s44fO/ruqMzGHhr9xF2xsTRLTiADx4ZgKdD3aZa3x69xOf7znJ20RzsreX8evsWH1w5TpG2guGNI3imRWeaOrvX+f37KdVqeHT7Fm6rsugWZofGKo9iXTkSkZgw+0DaOIfRzDGIUPsA5A0Mdfy30JsMpKgyiSlNJKY0kdiyVPSCAZFJRlGRNV1cW7Gkx5g/1L4uQ1nKihvn2JZyAxupFfNadcdFpWDBxkNsn/8YId4Pth4o02h5d+8x9t1MoG/TYD4ZPQg7ufm+HT+fwLvL9xLS2IPP3h5Xp8gXl6l58dMdpGQUsnTeI3Rq0fiBx0yOy+a7zw4SfSEFL19npj3bj56DWtS4br3ewIJnf+JWTAZfrJtJUMi/pzFIQ7EI/f8I50/G8+5LG+nYI5S3l0yskXlTVKDkp1VHObgjCmsbKybM6MHIR7vUm4N/PTGbl5btQCKR8Nn8UbU2KIlLzmH+ou3IraR88e74ajF7QRDYeOU6iw+dQiaRsGBwb4a3DKs1THA5JZMnVm1h+ePD6dvCXCFZrtOy6sYF1iVEoTbo6d8ohKebd6a1e92tC/VGI4/v3EZUdjZfDXuEXo0DMQkmEpRpXCq6SVRJHCkqc3GXVCQh2M6PEHt/gmx9CbLzo5GNV4Pj3H+VSqOODHUe6eocklWZJCjvkKLMRH/XkyfQ1odIp1A6uDQn3CGIJefO8F10FK917cGstvXnnccW57Em9hK7b8chFomYHNqKuS264KawZcHGgxy/mcKp9556YJbN8YRU3tlzhOIKDXN7dWJWtw5Vb2dHz8bz7vK9NAv1YfEbo7C3rd3pMj2nhBeXbqegtIIPnx1Gt1Z1v0Hk55Ty44rDHNsTg4OTDZNm9mLYxA7IarE+FgSB5e/v4sDOq8x/dxT9h7Wq9578G7EI/f8QOzddZNXifQwZ3ZZnXx9W64gvLSWfHz4/xIUT8Xj4OPHE8wPoOejBaYl3sot5Ycl2SpUa3po1kL4dasbck+8U8PzCzVjJJHz2zjga+1UPEd0pKuH1Xw8SnZFDjyaNeXVgD4Ldq2+jNxjp/vZXDGoVysLx/autK9FqWJsQxQ9xVyjTaWnt5sOkkEiGNg6vkYr44ekTfBsdxaf9BzMqvHanR6W+grjy29wqTyWu7DapFZlojPesmt3lznhZu+Jh7YKblRMuckdcrBywl9pgK7XBTqpALrFCJpIiE0uRiMR3WwmaMAoCOpMerbEStVGLyqChTK+iXKeiRF9OvraY/MoS8rRF5GuLMWH+LcnFMprYNSLUoTFN7QNo4dgEJ6vqE9ImQeC5/XvYn5zIT6PG0blRzT7KWoOewxnJbEy6xtncNGykMiaGRDKrWUe87k5wG00m+r//LW0Cfavy6H9PXrmKxYdOsfdmAiEernw0ciDNfe496A+cuMWHKw/QMsyXxW+MxkZR+8Px4o003lq1F5FIxNJ5j9CiSe0PaXVFJVt+OM22tWcAGDmlC+Ond8fOoe5Q20/fHGf91yeYPKMH057uW+d2/3YsQv8/xvdfHmHTD6cZNrY9c18bWqeAx1xK5esl+0hNyKVpcz9mvzKEiFZ1N18vLFXx6ue7uZmcw9h+kTw3qWeNybbkOwXMe38LRqPA0gWjCW9SPevBaDKx7kI0K09eQKPTM7F9JHN7dcLZ5t4P+bUN+zkVe5uj78ys1aFSpa9kU9J1fk66RkpZEbZSKwYHNGVY43C6egeQq1TRb/33jAqL4ON+Axt830yCiTxtESmqTDLUeWRrCsjRFlKgLaFYV1Ylxn8HLlYOeMhd8LB2wU/hQYCtN/623vgq3JGI6vdB1+j1DPjpR5wVCnZOeBSRSIRJELiSn8mO1JvsuROPUl+Jr60Dj4a25tHQ1jjKq4+0z8TfYc6aHSx5bAiDWlX3plFqK/n27BXWnr+KSRCY2a09s7t3wOq+DJote6/y+ffHaNvCn49eHVmryBtNJr7/9QLf/XqBQB9XFr84gkaeNTOcjEYTB3dEsX7lUUqKVPQa3JInXhiAh/eDLYt/E/n+w1vx0jsjH+rJ9X8ai9D/jyEIAt+tOMyWtWcZMrotc18bVmcBldFo4uiea6xdcZiifCV9hkUy/bkBtfp3g3nEvWrzGX7eH0VogDsLZw+uYSubmVPCi+9toVyl5dMFY2netOborUilZsWJ82yOuoGtlRXTOrdmSofWONlYcyUlk+mrtvDehAGM6tDsgdcZVZDFpqQYDqQnotRX4ixX4CRRkFWkYv/4aQQ7N2ziuT6MgokyvYrCylLSVQXcqSggo6KIcn0FWpOeSqMeg2BEJpZgJZYiF0txkdvjrXDCz8YVT2tHHK3scZTZ4SizQyb+6/WGW2Nv8vKRA8zt0pESg5pDGUnka1QopDIG+4cyJrgFnb0C6sxYeuHH3UTfzuLIWzOrmraoKnVsjrrBmjOXKVFrGNYijBf6dKmacP2Nn3Zc5KufTtOjYwjvvDC01uyazLxS3l9zkGsJWQzpFsEr0/rW2h7wZtQdVn+yl5T4HJq1DmDmS4MIa/lgIzVBEFi7+hi/fHeK/sNb8eJbj/zrO0HVh0Xo/wcRBIEfVh5l0w+n6dg9lNc/HPvALAStWsfGb0+ybd1ZxGIR46Z3Z9z07nXG709fTWHRt4dQqSuZNrwD04Z3qPZjzy9S8tzbmygsUfHRq6NoH1l7AVNiXiFfHD/HkfgUbGQyJrRryZSOkcxdsxNBENg+f2q9mTpgLrg6lZXK7jtx7L4dByKQisS08fCli1cAHTwb0drN5w+1xPuNrIpSTuUlcSYvhQuFt1Eb7lkiyERibKRybGVWyEQStEY9FQYdaoOu2huAl8KBbh7BdPdsQmePIOxlf67fb6XRwM3iPC7kpnMm5zbnc9JBZG7119MnkMEBYfT1C8ZO9uCMk9S8YkYuWcuMPu15fkg38pUq1l+8xqYr1ynXVtIlyJ95/bpVC9OA+e/qm5/PsH77Rfp2DeOt54fU8DUymkxsOhjNV1vPIpWImT+1D0O61Qyf5WaV8O2yA5w5fAs3TwdmvjSYHgOb1zsq1+kMLH9/J0f3XWfQI2147s3hFpFvABah/x9m9+ZLrFqyj6BQLxYum4S754MbcudmFvPd8kOcPnQTL19nZr8yhE69ap84LSlXs3zDCQ6ci8ffy5mXp/WhQ/N7gl5UUsG897eSnlXMwheHPrAMPjGvkDVnLrP3ZgIioLm3JzeTc/l0cs2wwoOIzslm9Jafeb5LZ3RiA6eyU7lVnIcAyMRimrl4EenqRfO7nyAHF+SS2if4juUk8EPyeaKKzL7/vjZOdPMMJsLRmyB7NwLt3XCxsqn13hgFE9nqMm4rC0lVFRJdlMG5/FRUhkpkYgmDfZvxZGhXQhxqb6kHYDCZSCkrIq4kn5vFuUQXZHOjKBedyeydE+7sgaHSRH6pmguPz/lDD7E3fj7A4RuJLH18GPtjk9h7M8Ecsw9vwhNd2hLpV7PQyGg08dl3R/n1YAwj+rfkpZn9agjsjeRslq47TvztPLq3DuKVx/vi4VJ9jkFXqWfr2jNs+tbsPjp+Rg/GTO1aLVOsLkpLKlj0yiZuXE3j8Wf6MnF6d0u4poFYhP5/nAunEvj4za1YWUl59YOxtO1Uf6VszOVUVn64h/SUfNp0acKcV4fSKLD2tMYL1++weO1RsvLL6BIZyNPjuxHib962XKXllQ+3cysxm5dnD2BE/5YPPG5WaTm/XI5hc9QNyrWVyERinuzejlGtmuHvUn+LuV9uXufNY4c5PX0mvvbmnP4ynZao/Ewu5mUQXZjNzaJc1AY9ABKRiAB7Z0Kd3Ghs70KAvRPlBjW7Mq+RoirA386ZCY3b0sc7jMZ2Ln9JVPQmI9eLsziQdYvt6dfQGHQM8IlgUmAHTCbIVJWRriwlpbyI1LJiUsuLq0TdSiyhhasXbd19aePhSzt3P9wUtqyLiWbhyWNcmDEbD9uG9YI9m5TGrO+3Y+9oTalWi42VjJGREUzr1IYA19rvsV5v5L3P93L8fCKTR7ZnzpQe1e5Fdn4ZKzef4cjFBNycbHlxSi/6dgitcb/OH4/j68X7yM0qoVu/Zsx+ZTDuXg1rHXgjOo2PXt9CeZmGl94ZSe9BNe05LNSNRej/BaTfLmDRq5tJTy1g0oweTJnZs97mxwa9kT2bLrJ+9TF0Wj3jn+jB+Bk9ag3nVOoMbD4Uzdrdl1BpKhnYJZxZozvj6+GEtlLPgiW7uBB9m+em92b8sPobdGv1Bj4/fIYfz0Uj3B1wt/LzZlCzUPqHN6kqt/89q69cZMm5M8Q+/RzWdYxwjSYTt8uLuVWST1JpIYmlBSSXFZGhKkVvqu6172RljYeNHc5yBS5yG5zkCuxlVtjIrLCVypBLpMjEEqRicVUs3CQImAQBndGIxqhHazRQoddRrtNSrquktFJDnkZFVkUZGkP1Lk8SkQh/OyeCHF0IdnAl3MWDZi6eBDm41mqkticxnucO7OXgo48T4lr3fES+UsXR+BT23kjgSnoWAM28PZjUPpLBzUKxldc9mq7UGXhr6S7ORaXyzLSeTBpxL6WzoETF2t2X2HHsOhKJmClD2jFlaDtsrKvvLz+nlNUf7+X88TgCgj2Y89rQBltzmEwmtq4/xw8rj+Ll48SCT8ZbrA3+BBah/5eg1ehYuXgfh3ZFExrhw/x3RxEQVHfo4DeKC5WsWbqf4/uu4+3nzJzXh9Ghe+3hlPIKLet2X2LzoWgMRhP9OjblsWHtCfB25t3P9nLyYhJTx3Ri5qSu9Y6OBUFgxuqtxOcUMLF3K44mpJCQZ+6TG+HtQc+QQLo3aUxLX6+qOPGy82dZefkCyc/O+0Oj70qjgecubOJEbjL9vSLo5h5CoVZNrlpJvkZFaaWGkkotJZVqKgx6NHffCBqKlViCg5U1jnJrHGRy3BW2uCvskEvEnMxPJENdxJywbjwT0RMrSf1ZN79xNDWFmXt+ZceER4n0vFckZDIJxOXmcyrpDscSUriRnQeAl70d+YUqZvVozwuDu9W12yqUFVpe++hXYuIymT+rHyMHmnPUM/NK+Xl/FLtP3cRoEhjRszlPPNKxRphGrzew7ccz/LLmJABT5vRh1JQuSGUNu8bsjGKWvfcrN66m0b1fM158awS2dn9ufuPfjkXo/2WcOnyLFR/tQaPR8disXox9rEu9o3uA6AsprP54D+mpBfQc1IKnXh2Ks2vt4YKCEhU/74/i1+PXUWv1dIkMZPyA1pw4Hc/eYzcZOTCSeU/2q3eiNTGnkPHLfmJkh2YsHNefO0UlHIlL5mhCCjGZuZgEAQdrOR0bN6J9Y18ytUq+jblC9OxncLRumCDojAaeOv8LFwpSWdhqGOMD63/jMJpMVBh0VBqNGExGDCZz7rxIBGKRCDEirCRSFFIp1hLZA22NdSYjL1/exqHsOOY368eM0K4NOm+AbXG3ePnwAY4+9gRGvYkr6VlcSE3nwu0MSjXmTmGRvl70bhpM1yB/5v+4B4WVjC0vTUFWzwOlpEzNC+9uIS2riAXPDqFv16ZcT8rm5/1RnIxKRiIWM7R7M6YNb19rxXRcTAbLF+4gLSWfrn0jmPXyYDx96jaPux+TycTuzZf4bsURpFIJs+cNZMCI1pZ4/F/AIvT/QkqKVKz4eA9nj8UR2MSTZ14dQos2jev9nl5vYPP3p9n4zQnk1jKeeHEgg0a3rbMUv0ylYduRGDYfiqZEqSHA2xkPB1uio9MZ2qc5rz41oN6MiaW7TrH2ZBQ/PjOOtkH3bI/LNFrOp6ZzOvkOF29nkFlaDoAgEmjt50Onxo1o6edFM29PPOxt6xSJz2OP8VXCaT5s8wijAv6ZqkqDycQrV7azP+sWG3vOINLlwfbORSo1N7Pz+OFKFOdup+MksaZcay728rS3o0uwP12C/OkU6I+7vdnqYtme0/xw/ArfzxlL+yYPTl8sLFbxwrtbyM4v450XhlKoVPPrieskphXgYGfNmD6RjO0fiZtTzQd9hVLLD58fYu+Wy7h62PPsghF07BlWy1FqJ/5GJquW7CPhVhbtu4bw/JvD600isFA/FqH/F3PueByrl+4nP7eM3oNa8MSz/fGoI4f+fjJuF7Bi0S6uX75Ny/aBvPjuKLz9XOrcvlJn4OilRLYdjeFmcg5isQhBZyKyiQ+fvTEaG0Xd6YDqSh1jPv0JEbD95alY11IGD5BdWs6vN2P57PQ5Gtk4kFeqwnj3b9RJYU24lzshHm4EuTkT6OZCY1dnjBIDQ46spJ9PGEvbj6n3uv+TVOgrGXR4BY1sXdjQw+yjXqhSk1Zcwp2iUpILikjMKyQpv4gC1b2G6hKpiNEtm9G6kQ9t/X3xd3Gs8VC7mZ7Lo19sZFRH85vRg8jKLeX5hZspUqqJbNmI6MQstDoDoQHujOrdksFdI2rNhwe4eCqBFe/tpLhQySOTO/PYM30b3J+1qEDJD18e4fCea7i42fPk8/3pM7ilZRT/N2ER+n85Wo2OTT+cZsv6c4hEMHJiJ8Y/3g37B5SdgzmGfnBHFN8s3Y/RYGLas/14ZHLnekfoiWn57Dl9i13Hb6LR6ZFKxAzuGs6gLuG0Dver1XPlYlI6T361jZn9OvDc4LpDGzqjkZarV/B4q9Y816ELcTn5xOUWEJ9bQHxeASkFRWj09yZAJRIRJpmRDj7+BLu64mFvh5eDHW52trjaKnCxtcHZRlGtIvTvQGcwUqrRUKLWUqSqoEBVQYGygtOZqVzMTsNX6kKJSotad28uwFoqJdjdhRAPN5p6utHcx5NXTx4k2MWFNcNH1XksvdHIo59vpFBZwa5Xp1Vr3H0/JpPA4fPxfLzmMBqjAQGwsbaif6dQRvVuSVigZ52iW1ZSwddL9nFsTwwBwR7Me380TZs3rOlMhUrLtp/OsX3DefQ6I6Mf7cykGT0sDbz/ZixCbwGAvJxS1q46yrH9N7C1kzP60c6MnNgJW/sHx7oLckv5ctFuLp5KIKKVP/MXjWmQFbLBYOTzdSfYevgayMSYBAFnBxu6tQqkW+sgOjQPqJa98eYvB9l7NY6fn59EhF9NY7XfmLB1IxqDgV0Tp9RYZzIJ5ClVpBYWk1JYxKdXj+GMPU7YklOupOxuXPv3WEul2FvLsbeWo5BJUchkyGVSrCTmjBuJWGQOX93NuDEJAnqjuXdspcGAVm+golJHhU6HqlJXTcDvx05uhUZcibuDDf0CmhLg6kRjV2cauzjh4+RQ7SGYq1LS5ftveL1bD2a2qdvc7JsjF1mx/xzLpg2jf8uQauu0Oj3R8ZmcvprK0UuJlCo1ALQN82NU30i6twnCuhYbivs5fzyOz9/9FVW5lvEzujNxZq8G9S6u1OrZveUSm344Q3mZmu59I5g+tx++DbTRtvDH+EeEXiQSjQMWAuFAB0EQGqTeFqH/z5OSmMu6r45x4WQCdg4KRk3qyIjxHXFwqtvzXBAETuy7zsoPd6PXG5kxbyDDxndokI3uwZOxLPpyP35+LvgHuHI5Np0KjQ6ZVELrpr50aBFAx+aN8XCzY/TS9TjZKtj4wiSspLWLyYpL51l+4RyXnpyDq03d53wuP5UZZ9ezstNE+nibs4g0Oj255SqKKioortBQXKGmRK1FWVmJUmv+aPRm4dbo9eiNRowmAaPJhMFkQiwSIRKJEItAJpFgJTU/DBQyKbZyK2ytrLCVy3BSKHCyscZJYY2bnS3u9ra429liK7diwdVdHMi6xbmhr2AlrvtNYkvsTV49cpC9kx4j3L327KnEnEImfLaBfi2asOSxoQiCwJ3sYq7EpnP++h2uxGZQqTNgJZOAXsBGJmX5m2MJD67f5ldVruHrJfs4vDOa4DBv5i8aQ2Bo/d+rUGnZu+0K2zecp6RIRdtOwUyf24+Q8LrdSC38df4poQ8HTMDXwHyL0D98JMVls2HNSc6fjEcul9F/eCtGTe6EX0DdvuUFuWV8tnAHV88l06pDEPM/GIubZ/3dg46ejee9z/cRHODOkjdHcSenhDPRqVy8cYeUzCIAnO0V+Pk4E5WVzdDO4Sx8dGCN8nuAW/l5DN/4Ex/16c+E5nUXaK1JOMOy2KNcHvZavZYBv0cQBJJVKSSpksmvLKCwshClXomr3BV3uRsecncinVriJn+wx3tt7Mm4wctXtrOr75wHVs7O3L2D2IICTk+fWaufjc5gYOJnP1NQVMGsHu1ITivgSmwGhaXm+L6fhyNdIgPxdLFn7cZzONha8/nC6hbTdXHtYgpL39xGcZGK8dO78+ic3rVaCN9Pfm4Ze7ZcYs/WK1SotLTpGMykGT1o2bZxvcez8Nf5R0M3IpHoBBahf6i5k5LPjg3nObovBoPBRIduIQwf14G2nYNrHbELgsCB7VF8vXgfMisJz78zkm796jYn+43zUam8uWQngf5uLH9nXJWveX6xkks304mKyyA6PpOcQnN2jZVMQkSQV9UnLNADX3cnRCLos+57Gjk4sm7U2DqP90bUTs7kJ3Nq8EsNvhcmwcTFokvsyz1AujoDAFuJLR7W7thJ7SjSFVOgLUAv6BEhorVzK0Z4DyPQrnGDj3GrJJuxJ9bweYfxDPANr3Wb8spKOqxZzZSWrVjQoxdgvu95RUribucRm5rLgUvx5BUoEd39mbo42tA2K3z0WwAAIABJREFUvBHtm/nTPsIfHw9HbiZm8+K7W3BzsWP5O+OqdQirDZ3OwPqVR9n64xl8A1x5+cOxD4zFC4LAzWvp7Np0kTPH4kAQ6NI7nAmPdyP0D7S2tPDXeeiFXiQSzQJmAfj7+7dNS0v7y8e18McpKVKxe8sl9m67QmlxBd6+zgwZ046+QyJxda/ZxDvzTiGfvLaZpNhs+o1ozdOvD6t3gu18VCpvLN5JcIAby94eh0MtxTG3s4uZsXwTBq2RYGdnktIL0RvMVgG2CitC/N1RSvXEqPJZPnoorQJ9cXOqmV4569wGiisr2Np7VoOuP0+bx/KkL8nWZOOr8GGAZz/au7TDVlq9U5cgCORXFnC64AzH8o9TYVTT2bUjTwROx0pcvx9NgVZFj/2f8nbkECYF1Yy9C4LAj5ei+PjwSZ5p1gG9ykByegFJ6QUo1eYUS4lEjF5kIsDXhRmDO9AyxAcf9+rZODcTspn3/lacHW348r0JuLs+uBF7Wko+n7y2mdSEXAaPacfsl4dgbVN7RW1ZSQVH9sZw4NerpN8uwM7emkEj2zB8fAe8GphLb+Hv5T8m9CKR6AhQW9DuTUEQdt7d5gSWEf3/K/R6A2ePx7NnyyVuXE1DLBbRtnMT+g9rRaceTatZJBj0RjZ8fZxN357Ex9+VN5dOrDeOey4qhTcX7zKP7N8ei4N9zeyfKymZPLF6C+M6teTVR3qSmlVEwp18Eu7kk5ReQHJmIWrNPZdJayspfp5O+Hk64e3mgLebA1sKohAUAt/2n4KTveKBaXyZ6iwWJyzFKJh4vPFjtHVug1hU//yDxqhhf85BdmbvJsIhnBdCnkUuefDDrlhbQbdflzKzUXfaKQLILSont1BJVkEZ2fllZOaXUvG7awtu5EaIvzsh/u4E+rry1vbDGAWBbfOn1JplcyM+i5cWbcPF0YYv3puARz0if2RXNCsW7cJaYcWL746iU6+aefF6vYHLZ5M5ui+Gi6cS0OuNhLfwY9DINvQa2KJBpmUW/nM89CP6+7EI/cNFxp1Cjuy9xpG9MRTmlWNjK6dzrzB6D2xB6w5BVaXuMZdT+fjVzajKtcyaP5hhEzo8UFh/G9kHBbjx+Tvja+1B+lsh1aonR9I9PLDaOkEQGPfTL+Tll/Nsi45k5ZeRkVdCdkE5OQVlaHXVPWZkUgkujja4ONjg7GCDs70Ce1tr7G3lyBViDhXtQ5AamBQ8Gh87T6xkEmRSKTKpGIlYjFgsMlf5CmavGwEBg8GE3mDCYDRypSCaXekHCFWE09WxOxUaHUp1JSp1JWUqLaVKNaVKDcVlagpLK6reUO4/Px93B3zcHbFxkLMzLZ6x7Vowp0cnPFzsq1UYL9p2lM3nr/PtU2PpUEthVGxSDs8v3Iyrsx0r3h3/wJG8uqKSLz/YxbE9MbRo15jXPplQ7e3NaDBy/Woap4/c4vSRWMrL1Dg629J7UAsGj2xD4yZ1Z0dZ+O9iEXoLfxmj0cT1qDucOHCDM8diUSm12Dko6NgthM69wmnfpQlatY6lC7Zx5WwS3Qc0Z957ox7okX8uKoXXP9lJs1BvPl0wBsXvjLIq9QYmff4LJSo12+Y/hotd9QybfUkJzN2/hzXDR9I38J6BliAIlJRreO30ryTnFvCUfw/yi5UUl6kpLjd/ylVaylRa1Fod/0nkVlKc7BU42SlwclDg7GCDzEbMlrwoHo1oz5CmzfF2c8DZwaZKzN88dpgd8bGce2IWTtbV33ZOxd3mmW9/ZVrPtswf0aPG8VLSCpj79ibsbeWsWjQJN5e6HS/TUvJ574WfyckoYvLs3kya1QuJREylVk/0pVTOn4jn3Il4ysvUyK1ldOrRlL5DImnbKbjBXjYW/nv8U1k3o4AVgDtQClwTBKHevm8WoX/40ekMRJ1P5uyxOC6cTkBZpsFKLiWyXSDtujShKLeMbT+ewS/QnQWfTsT/AcZqvzWebt2sEYtfH4VcXj3GnZBdwKTlv9A9vDHLHx9e7S1BbzTS7Yc1RLi788MjNateP7y+n21p17gy7LU63y7O5V9kZdx3jHB/hDZ2HdBo9ej0BirvfgwGEyaTOW/eeF96JZhH4TKpGKlUgpVUgtxKwuacTWTo0/igzVt4O7ggraUQ61LBHaadWcv3XR+js0f1BtrllVq6fP8NQ0JCWdxvULV1JSoNI5esw9Xeptb009sZhTz79iakUgmrFk3Ex7Nue+AT+6+zfOGvWCtkvLF0Il5+LkSdT+by2SSunE+mUqvHxlZOh26hdO8XQbvOTSyhmYecPyv0f6kXmiAIO4Adf2UfFh5OrKykdO4ZRueeYRgNRm5eS+f8yXgunUli9ZL9ALh5O5KTXcrTE1bx9KtDGTK29oKfvl3D0OmNfPjlfl5fvJNPXhuF7L7RYlMfd54b3IVP95xmz9V4hre9l6Uik0iY0jKSzy6cI7m4iCYu1Qtx/G1dUBt0FFZW4G5d+8j2bPFZvJ2cGRc+uEEx+fpw8ZvAgpvvEK+/TiNp7Y2s76jM6aT+djUtJTbevIFar+fxyDY11n2w/RjlGi1rnhpTQ+R/szUQi0V8sXB8nSKv1xv4Zsl+dm28SKNgd5q1bsyKT/aSnloAgJuHAwOGt6JzzzBatmtcb0qlhf//WP6FLdSLRCohsl0gke0CeeqlwWSlF3HpTCLXLt8m5sptNGojn3+0hx9XH6NH/2a0bBtIs1aNcHW/l+Y3uFczjAYTH68+yMerDvLms4OrxaQf69mGozeT+WjHcTo0aYSn4z3Rntw8klWXL/F9dBQf9h1Q7dwC7c057qnKglqFXmVQcas8luE+Q/8WkQdoZONHI4Ufl4ov09+zdqFPURYgF0vxVlT3HNIbjayNuUpnv0ZE/K5A6sC1BA7GJPL8kK6EelfP3S8uNXf6MhoFvnx/Av6+NR8gpcUqLp1JYu3KIxQWKEEmISO9mLy8cpq3CmDgiNa069yEgGAPi/fMvwyL0Fv4w/j6uzJqcmdGTe6M0WAk7kYmX3+6n8Rb2ezddoXdWy4D4O7pSHhLP0IjfAkJ86ZnhyYUlVaw5pczODvZMHdar6p9SsRiPpg0iLGfruedTYdYPXNUlRi52tgwOjyCbXG3eLFzV9xt7qVChjmas39iS3Po6F59MhcgRXUbAYEIh9pz2f8sEQ7hHMs/gcFkQFpLk/DY0lyaOnrWKILak5hAjkrFoj7VTckKylUs2naMlv5ePN6r+pu5WqNj/gfbKSxW8fnC8QQ2ckNdUUlqYi6Jcdkk3Mwi4VYWOZnFVd9pFOhOr4HNiWwfRNNmvg2yM7Dwv4vlX9/CX0IildC8dQBfrJ/N7o0XWb14H97ejvQe1oqsjGLirmdw6vCtqu29fJ0IspKzbd1ZlLnlTH+sOx5ejojFYvzdnJg3rAcfbD/GpnPXmdg1sup7T7Zpx8ab11l7LZr5Xe4123CV2+KtcOR6SXat53en4g4iRDS2rb2x+Z8lyC6Qg3mHydJkE2DrX22dwWQitiyHUf6R1ZYLgsCa6CuEurjSK+DeQ8lkEnhr02Eq9QY+mDyoWqWwtlLP/IVbuB2bxeDO4exee5ZlcTlkpRdVbePm6YC7hwMF2SXY2FjxzmeP0rzN33u9Fv5/YxF6C38LIpGIEZM64R/kzqKXNnJg62XeXzmVJuE+lJVUkJyQS3JcNknxOaQk5GBVquPE5ihObI7CWmGFf5A7jQJc8fF3JVLqyGc/HaWFlwcRQV6IRCICnZwZEBzC+uvXmN22Pfbye5k+rV0bcaUwDUEQaoQkCnVFOMocUEge7OL5R/GUm1MOi3RFNYQ+oSwXtUFHa5fqaZEn0m4TX1jAkv6Dqp3n1os3OHcjlZmd25AWncWFzBtkphWRfqeA5IRcjHojVsDRHVdx93QkJNybfkMjCW7qTZMwb84fi2XVR3sIifDl7eWTcfWo367Cwr8Li9Bb+Ftp1TGYZetmsmDOWl6e/i1vLJlI++6htO0UXK2heXmZmvlvbSY5MZeurYNQl2m4HpXG0X3XAXAC5o3/CmuFDA9vJzy9nfBwlCHNLedj0z7Gd2iFq7s9ru72tHVpxL7Mm6RXlBDwu8nPMl0ZjrK/v+GFo9XdpuX6shrrLheZq77buZlH1Rp1JcWFSlbsOEGjPAm6C0Ws3L2X/JwyMjOKyMgowtsgsOfsCfbc3Yeruz1ihQyttZhu/cIYN6YjgU08sLuv8MxkMvHjiiNs/u4UHXuG8fri8ZasGQu1YrEptvAfoSi/nLfnrud2Yi7PvDmcoeM61NimXKXlqdd/prRczVcfTcbfx4VKrZ6czGK2HLnKtuMxdG3ki4MgJT+njLzcUpRlmhr7kcmlaOQGPN0caezhhr2jAjt7Bbb21lyquIBEAaOChyOXS5Fby7CSy7CSS5HJJEilEiRSc7GUSCxCLBIhCCAggGCuLTAYjBgN5v/qKg3oKg2Uq1V8Hf89bW3aESQLRqXUUqHUolJquZCWiqa8Ei/sKSupQKOumcdva2eNu5cDBYZKioyVTBnYnvCmPvg0csHb15mj5xP5eNVBhvdrwStPDajxpqLTGVj8+hbOHL7F0HEdePr1oQ1qJWnh/zcWP3oLDx0adSUfv7KZi6cSmPHiQMZN715jm6zcUma/vgFbGzlffTgZZ0dzwZQgCDz51TZiM/PY8fJUvJzMlZwnElOYvWkbT4a0po2DB0UFSkpLKthy8zL2lXIaiZ1QlmtQlmmoUGkxGk3/lWsVS8TY2VljYycnw1SKh6sDbfwDcHCywcXNnm1p8aQblKydMgE/X1dsbOXsvRrPaxv2M39ED6b1vNfj9nJMGvM/2Eab5o1Y8sboGnn6WrWORS/9wpWzScycP5jRj3WxZNH8S7AIvYWHEoPeyJI3t3LywA3GTO3KjHkDa7hl3kzM5rl3NtM0yJMV746vEraMolLGLF1PmyA/Vj85EpFIhCAIjNn8C0UaNUenPlHVsPutq7s4kBXL2aEvV/m/C4LARzeWoqnQM8fvKSq1eior9Wg1egx6IwaDEb3OgNF4t2DKJCCYBBCZ5xxEIrOxmEQqQSIRI5NJsJJLkctlGCQ6Prr9MWODRjIooC/WCitEIlGVP/6qThPpfdcfP7Ygn2G/rOelzt14pn1HAArLKxi5ZB0Bbk6se3ZCVTOS9OxiZr76E15uDqxcNKmGbURZSQXvzF1P4q0snnv7EQaN/sO/eQv/j/lHCqYsWKgPqUzCKx+Nw9HZlm3rzlJaXMG890dXa1XYPNSHN54ZxMLP9vDl2pO8MKMPAI1cnXhhaHc+2nGcPVFxDG8XgUgkYk67Dszeu5M9iQmMDDOnTfbyCmVrWjRRhWlVlagikQh7hQ0qUS4+jeruhfsb2RXHyVIdJdx5JnZWD85aydcWIFUZcXdzrGYBcSI3EblYSif3e9Wwq69cxE5mxWMt72XhfLjjOBqdnvcnDqwSeY1Wx5uLdyKVSPjk9VE1RL4wr5zXZn5PXnYpC5ZNokufiHqvyYIFgL+ngsSChQcgkYiZ89pQps7ty9E911j21vYaIZV+3cIYN7QNW/ddZf+Je+mYE7tE0jLAm6W7T1OmNrcI7BsUTKiLK19FXcJ09420s0cQVmIJx3MTqu3XVmqLyqB64PkJgonY4tVcyJ1Hhmovx7MeI0994YHf+W2fNvfZGwuCwPGcBDq6B6KQmm0ebpeWsD85iUdbRuIgN9s1n42/w+HrSczq15EgT5eq737w5QHSsopZ+OJQvDyqTyAXFSh59cnvKC5Q8tHXj1tE3sIfwiL0Fv4riEQiJs/qzbS5/Ti65xrLF+7AZKou9s9M7WmOS391iNikHADEYhELRvehtELDiv1nzctEIp5q14HEokKO304FwEZqRXfPJhzOjq8SfwBnmTPleiUGU3Wny98wmDRcynuV+JJvCLB/hP6NfkUh9eRczlxSyjbVeT0l+hIAXKzu+bLHluWSqS5lgM+94qxvoi4jE0t4orU5Bq/VG/hg+zEauzszvfe9uPy6bRc5cT6Rp6b0oH1k42rHKi5U8tqT31NcoGTR6mk0t3RzsvAHsQi9hf8qk2b1YsqcPhzeGc3SBdsw3mflK5VKeO+l4bg62/LG4p2UlqsBCPfzYFK3SDafv86N9FwAhoWG4efgwJeXL/DbPFN/n3ByNeVcL8mq2qeL3AUBoUqYf09M4SdkVRylueuLtHF/B3urAHr6/oinTVdiCj8mu+J4rd8rqjRXod4v9IezYpGIRFW9a7OV5WyPu8W4iGZV1bzfHb1ERlEZb4zuXeVlcyH6Nmt+OcOAHuFMGlE9/FqQW8YrT3xHQW4Z76+cSkSr6jn7Fiw0BIvQW/ivM2VOHx5/th/H9sTw5Qe7uT8hwMnBhg9fGUlZuYaPVx2sWjd3UBfc7G15f+tRDEYTUrGYOe06EpOXy4VMczvA3l5NkYnEHMqKrdqfh9wdgDxtfo3zEAQj2RXH8LcfRqjT1HuOlWJbOnl9ilzsTJbqaK3XkF+Zj7VYjr3U/u6+BA5kxdLBLRBnuTlz6LvoKARgdjtzaumdghK+O3aFIa3D6BxqngMoLq3ggxX7CfJ349XfpVEqy9S8MftHiguVLFo91TKSt/CnsQi9hX+EiTN7MWlWL/Zvu8KPXxyuti4k0IM5j/XgzOUUtu+PBsDOWs6rI3sRl5XPL2evATA6LAJXhQ3fXDVncDlYWdPZI5iD2bFVDwhPa3MFa642r8Y5lOtS0JuUeCg61lgnFklxU7SjSHu11vPP1ebhae1ZJcxJ5fmkVRRX9Yctr9Sy+dYNhoY0xdfeAUEQWLT1KNYyKS/f9Zg3mQQWrdhPhUbHwheHVrNvVldU8tYz68nNLObdL6bQvE3jht1YCxZqwSL0Fv4xpj7TlyHj2rPpu1P88s2JauvGDW1Dl7ZBfLn2JPEp5nDNgJYhdG0awOqDFyhRaZBLpUyNbMXJtNskFBUCMNA3nGx1GbdKzTF+Z5kTComCbE1NLxyl3lzB6mDVpNbzc7BqgtqQg9GkrbEuS5OFj8Kn6v8PZMUiRkQ/b3N7vg03YqjQ65nVxhyKOXYzhYvJGTw3pCtuDuYwzoZfL3Hp2h2em96bIH/3qn1pNTreedacQvna4gm0aFfTrM2ChT+CRegt/GOIRCLmvjmcvsNasfbLI/y64Xy1dW8+OxhnJxve/nQ3ygotIpGIl0f0RK3TsfqQOStmSotWKKRSvr07qu/jHYZUJOZA1q2q/fhYe5NVi9BX6M0hH1uZX63nZycze9VUGLKqLVcb1BTrSvC9T+gPZcfSzi0AN2s7dEYja2Oi6dYogHB3D/QGI8v2nCbY04WxnVoAEBObyZpfztC3a1Me6d+yaj9Gg5FF837hZlQaL38whq59Ldk1Fv46FqG38I8iFouZ994ouvQJ55sl+4g6l1S1ztFewXvzhpNXUM6XP54AINjLlTEdW7Dl/HVu5xfjrFAwNqI5uxLiyK9Q4WSloJN7IIez46rCN/42jUhXZ/D74kCdsRSJyBqZ2JbakEtcqra7nwxNZtV+AZLLC0hRFlaFbXYnxpNfUcHMu6P5TediSC8sZd7wHkglYtQaHYtW7MPHw7GGvcG3yw5y5WwSz741gt5DqrtfWrDwZ7EIvYV/HIlUwssfjsU/2IOPXtlMxu2CqnXNm/ow6ZH27D12k8sxdwB4emBn5DIpy3afBmB6qzYYTCbWxpjj+QN8I0ivKCGuzBzyCbANQG1Uk19ZfUJWL6iR1iHyQNU6vami2vLbFebzCLAxZ8AczLqFCHPWjyAIfHv1Ck1d3ejmH0CZWsvqQxfoEhpA97DGAHzz8xlyC8p549nB2N5XbHVwRxQ7fjrHyEc719mty4KFP4NF6C08FChs5Cz8/FGkUjEL5qylqEBZtW76uM74+7jw0aqDVKgrcbW3YWa/DpyITeV8YhqN71oY/3zjOhU6Hf28w5CIRFXhmyZ2ZtfMJGVytWMKggHxA4rDxSLz5KiAsdryJGUSblauOFmZW/ntz4qljas/Htb2nE5PI6GokBmt2yISiVh96DwqrY6XRvRAJBIRfSuDrfuuMmZwa1qG+Vbt8+KpBD5/bydtOgcz86XqfWQtWPirWITewkODl58L76+aSnmpmreeXotWY3Z9lMtlvPHsIAqLVay4G8KZ0r01vi4OLN55EqPJxMw27Sir1LIt7hbOchs6uwdxIMucfeOr8MFGYkOCKqna8USIa4j4/QiCoWq7e8sEEpXJhNqHAOZsmxRlAYP9mgHwXfQVPG3tGNE0nNv5xWw6e52xnVoQ6u2GWqPjo5UH8PVyYvaj9wzeUuJz+HD+RoKberFg2WSLC6WFvx2L0Ft4qAiJ8OX1JRNITcjl6yX7qpY3D/Vh0oj27Dl6gzOXU5DLpLwwpBvJuUUcikmijbcPLT29WH/9GoIgMMi3GRkVJdwqzUEsEhNqH0KiMrHascQiK4xCTQvh3zAJ+rvb3Ut7zNPmUW4oJ9Q+FID9mbcQI2KATwSpJcWcTk9jcouWWEkkrD50AZlUwtMDOwOw4scT5OSX8cYzg1BYm33j1RWVfPjyRuwcrHlv5VRsfudvY8HC34FF6C08dHTo3pTxT3Rn/9YrnDxwo2r5jIldCA5wZ9m3R9BW6hkQGUoTL1dWH7qA0WRiastWpJQUcy4znb4+YchEYvZn3gQg1D6EXG1etUYhUrEtBpO6xiTtb+hNZj8bmfhe0/H4uw+LpvahCILA/qxbtHcLwN3ajp9uxCATi5nYrCUpuUUcuJbA5G6tcLW34UZ8FruPXGfSiPZERpizfARBYMWiXeRkFPPax+Nxdq3Z3NyChb8Di9BbeCiZ+kw/Ilr589k7O0hNMOfEW8mkzHuyL/mFSjbsuIRYLGLOgE7czi/mwLVEhoY0xcVawU/XY3CyUtDFI5gDd4unmt4dgScq74VvrMT2CBgwCjWbmQDoTeZ5ApnYvmpZojIJe6k93tZeJJbnc0dVxCC/Zqj1erbF3mJwSCjutrZ8ffgiCisZ03q2xWg0sfz7Y7i72DF9fOeqfe3ccJ7je2OY8nQfS668hf8oFqG38FAilUl489NJ2Nlbs/C5nygtNme+REb40a9bGBt+vUR2Xin9WoTQxMuVrw9fRCoWM7ZZc46kJpOrUjLQN6KqeKqxTQBWYqtqQv9b+mSlsbjWc/ht+W/bASSqEmlqH4JIJOLgfUVSuxPiUOoqmdKilXk0H2MezTvbKdh77CYJKXk8PbVnVcgm6lwS3yzdT5e+EUx8sud/5B5asPAbFqG38NDi6m7PO188SkmhipUf7q5a/vTUnojFIj7//ni1Uf3+6AQmNWuJURDYdOsGvb2bIhWJOZgVi1QsJdg2iIT7hV7qCoDWWFjr8bXGQkRIkYnN/WGLdSUUVBZWxecPZ8dVFUltuBFDqKsbbb19+OrwBaxlMqb2aEuZUsM3P58mMtz8gAJQlmtYumAb/kEevPzBmBqNWCxY+Lux/IVZeKgJifBl8uzenD50kzNHzOmSHq72PDG+C2evpHDqYhL9WoQQ6u3GV4cu4GvvQHf/ADbfuoGdVE57t8YczYkHzHH6dHU6GqM5VKOQeACgMRTUemyNoQCF1OOen83dh0SofQi3lUUkKwvo7xPG9bxcbhbkM7l5S5JyizhwLZEp3VvjbKdg1bqTKCsqeWlW36r9fLNkH2Ulal5aNKZa0xILFv5TWITewkPPuOndCQ7z5stFuyguNMfNxw9rS7C/G8u/O4Zeb+DpgZ1JKyxl/7UEJreIJEel4sSdVPr5hHFbVURKeQGh/9fefYdHVeUNHP+eKamT3nsnpAGhd6RjQWzs2nUVEX1911V33XV13V33tbKW1V27q66yYEUQQelSlE5IKEmAJKT3Xiczc94/ZoyACQETMiScz/PMk5l779z53ZOZ39w59xS3OCSS443WMeydddYBz1pMpZ2+bouptGMbsNbPO2ocCXcJY33JEcA65MJ/Mw7grNNx1eBE3ly3E4OTA7ddMoKMzCK+2niQ6+eO7BjLZsfmTNat2M8vfjWJuMTgTl9XUXpbjxK9EGKxECJTCJEuhFguhPDsrcAU5Qc6vZbfPXkdLc1GnnvkE8xmCzqdlvvvnEZ5VQMr1qUzLTmG6ABvPtiyj2mR0QS6GliSkc5029jwG0uyiDFEIxAcbbR2nNJr3NAJV5pNJZ2+brOpBBddUMfjo43HiTFEoRVaNpZkkegZhEHrxMrsTK6MT6CxqY116UeZP24IHi5OvL1sO96eLtw+fywA5SW1/P2xz4hNCObGRVPPc6kpyo96eka/DkiWUg4BsoFHeh6SovxUZFwA9/zhctJ25vDJv7cAMDw5nOHJYSxZvos2o4mbJqVypLCc9BMlXJuYxNb8PDBrSPYMZn1JJs5aZ8JcQjt6yAohcNEH09Re9JPXs0gTLabyjkTfam6loLmAWEMsla2NHKguZFpQPGuOZtFqMvHLpBSWbk9DCLhxwjDSDhWwNyOfm68eg7OTAxaLhWd+/zEWs4U/Lv4lDg5qumal7/Qo0Usp18ofug/CDqDzYQAVpRfMvnoEE2cksfStb6kotbaHv/P6CVTVNvH5mv3MHZGAh4sTS7bu5+rBiVikZGX2EaYFxZNeU0R5SwMxhhhymnKxSOs0hp6OCVS27sNsaTvltSpadiMx4eloHagstykPCxZiDTFsLMlCAjOCBvN55mGivbyI8/Ths50HmZ4SS4CngTeXbsPHy7VjZMoNX6ZxOC2fex+5guBwn74rNEWhd+vo7wDWdLVSCLFQCLFHCLGnoqLzi1+KciZCCBY8NAeLRXZMVjI0IZTRwyL5cPkuLCYL145JZkPGcZykjtTAID4/cpiZtjlc15UcIdYQQ4u5pWN8+jDDHEyWRkqbt57yWgWNa9BrDAS6TATgWONxAGIM0awvySTc1Qtn6cju4iKuGZzEqn1HaGhp4+ZJqexMyyP9SBG3XTcQfT27AAAgAElEQVQWR0c9rc1G3n9lPYOSQ5h2hRqRUul73SZ6IcR6IcTBTm7zTtrmUcAELOlqP1LKN6WUI6WUI/38/LraTFHOKDDEi2tuGc+GVWmk78kFYOGNE6lvbOXD5bu4fsJQhIBl29OYF59AVlUl7W2SSIMPG0uyiLMNcJZtq6f3cx6Fo9aHgsYfz1FMlhaKGzcS7DodrcbaKia74ShBTkEg9ewoz7G2nT9qbc0zN24wS7amkRDqT0pYIK99sIUgfw/mTreezX/w2kYqy+tZ9PDlqimlYhfdvuuklDOklMmd3FYACCFuB64AbpJd9SVXlF50w8JLCAzx4pW/rcRoNDE4JpBZkxP4aNVeNGaYnhLLpzsPMi0iGq0QrMzOZFpQPLsr8nDWuOPr4EtGrXVoBY3QEWaYQ2nTVozmegBKm7dgkk2Eu10OgNFiJLMhi2SPRLaWHaNdWpgaFM/KrExGBYeQX1pDbnk1t0weztotRzh+ooJFN09Cr9dyPLOE5R9+x6XXjlQTeyt209NWN3OAh4ErpZTNvROSopyZk7MD9z12JQW5FXz4qnXy7oU3TMRstvDxqr3cMmk4DS1tbD2Yy8TwSFZlZzEtcBDt0sL28hyGeCZzqP4IJov18lKY4VIstFPcZN1XQcManLR++DoNByCrPhujxcgQjxQ2l2bj6eCMk3TiaHUVcwcN5j/f7sPXzYVZKXF8sHwng6IDmDY+HqPRxN8f+wwPTxfu+M0s+xSWotDzOvp/Am7AOiFEmhDi9V6ISVG6NXJCHHOuGcGn722jOL+KQH8PpoyJ46uNBxkU6ENKeCDLvjvA3EHxFDXUI41aPPRObC07RopHMm2Wto56d0/HRFz1YRQ0fo3RXE9p83ZCDbMRwjpc8MH6Q+iFjjhDHFvLjjEpIJY1R7PRCsEQ7wC+yz7B9baWNgXFNVw/1zoW/epPdpObXcqvH5+Hm4eLPYtLucj1tNVNrJQyTEo5zHZb1FuBKUp3br1vBjq9lmXvfAvAtZel0tjUxtotR7h6dBI5ZdWEObrjqNWx+mg2EwJi2Vp2jMFu8WjQcLDux3llwwxzqGjZQ279Z0hMhBp+nPzjYN1h4tziONZQRY2xmYn+sazKzmJCWARbD+YiBMwblcinq/fh7enC1HHWs/lP391KyohIxk1NsEv5KMoP1JUhpd/y9nXj0mtHseHLNEqLahgyOIRB0QF8unofs4bEoddq2ZB+jKmRUXx1NJvxftFUtjVS2NRAlGskRxoyO/YV4joLsHCo+mVcdMF4OVon5a5vb6CwpZBE9wS2l9t+AQgDBfV1XDEoni/3HmFMbDjG5na+35fLVbOHoddrWbt8L5Xl9dxw9yV2KBlFOZVK9Eq/Nv9Xk9BoNCx5fSNCCH5x+XDyCqvJzC7lkqRo1uzPYnZMHBXNTbhKa/XJtvLjJLonkNOYS6u5FQB3hxgctb4AhLjO6BiXJqshC4AE98FsL8shwSOQbXn56DUaArSuFFXXM3dkAp98tQ+dTsNVs4bS2mJk2dvfkjA0jNQxMXYoFUU5lUr0Sr/mG+DOvBvHsn5lGseOFDN9wmB8vQ38d8VurhiRQHVjCy7tOhy0WnYXFBNt8GVHRS7xboOwYOkY90YIgb/zaABCDNM79p/VkI2DxoEAx2AOVBcw3j+atcePMT4snM0ZOTg76BgREcLqjQeZPTkRb09XPv9gO5Vl9dxx/6yOLwxFsSeV6JV+7/oFU3DzcOaN51aj02n4xeXD2ZuRj5/eCQ8XJ9YdOMrEsAjWHj/GWL8o9lSeINw1EoE4ZXz6UQFPck3MfrydhnQsy244SoxrNGnVRbRLC6GO3uTX1zE9MoZvDmRzSVIMX284SJvRxA3zRlFZVs/H72xlwvRENZmIcsFQiV7p9wzuztz+65lk7M1j+4bDzJs1FDeDEx9/uZfZQwex6eBxJoVFUNRQT7izLy3mdo7VVRPmEtrR8qYzbeY2CpoLiXOLZUdFLnqhobTaOlSCi0lPXXMrc4YM4pPV+5g8Jo7IUB/ee2UdFouFBQ/N6XK/itLXVKJXBoTZV4/AP9iTVR/txNXFkTlTEtm+5zjTEmNobTchbL08quuMaBBsKz9GjGs0OU05HePenO6H8W1iDNF8V36cYT5hbDuRR4p/ANsO5uJtcMbS0E5jUxvXzBlGQ30L336dwayrRhAU6t3pPhXFHlSiVwYErVbD7KtHkLYzh+L8KmZMTMDYbqa2pIFQHw+2pOeQ6OvHzvwihnmHsrXsGNGGKJrNLZS3lne6z5wm6xALblo/MuvKGOUdSVpZKeNCwth8KIfLUgezcXs2Pp6upCaFsWHlftqNJi69dmRfHrqidEslemXAmHP1CDRaDas/3U1iXCBB/h5s2J7FlSMS2HW8gFFBIewtKWK0bxSHakvw1FlnmMptyut0f3lNefg6+LC/yjoxiZPZCYuU6Ns0tJvNzEiKZce+HKZNiEejEXz1yW4Gp4QSMzio0/0pir2oRK8MGD7+7oyfmsDXn++ltcXIjImD2ZNxglFRoUgJzu06zFLiarE2s8xtaEEv9OQ1n+h0f3lN+US6RvBdeQ7+Tm5kldbg4ehEbl4VId7ulObXYGw3M33iYPZuP0pBbgVX/HJMXx6yopwVleiVAeXa2ybSWN/CN5/vZeakBCwWSU52OcFe7pwoqMFVryenvA4PvRO7Kk4Q7hJGVkP2T/ZTY6yhrK2McJdwdlbkMtYviu0F+YwNDWPnsQKmJEazblsmwQEeJMUF8en72/Dxd2PKpSl2OGpFOTOV6JUBJWFoGEmpEXzy3lZC/D2Ii/Lnmy2HmZwYxe5jBYwJCWN7QT6jfCPZWZnHWJ8x5DblkduYd8p+NpV/i0AQ6BhLtbGZCGdfypoaCXYw0NpuYmhoIPsO5jNzUgKH9p8gbWcOV900Hr1ezRylXHhUolcGnNv+dwZV5Q2sXLqDSy9JIut4GXE+3rQYTYQ5u1NQX0eMqz9FzbXEGVJw1Diyvnxjx/NNFhObK75liEcKOfWNALQ0WUfgbq1tx9lBR9mJWiwWyaWXJPHey+vw8jUw93pVbaNcmFSiVwacISOjSBkZyde26hutVkPR8SocdFqM9dahiY2t1h6rh2srGO87jp1VO2kyWdtg7qvdT117PdMDprGvqgA/JwMZxeVEe3lx4FgxI6NDWfvtYYYkhCBbTRzcd4Lrbp+Ek7OD3Y5ZUc5EJXplQJo0K5miE5U0VjcxaXQs67dkkhoZzKGcUkLc3DleWouTVseB6gKm+E6iXZrYVb0bgG0V3+Gl9yLFI4m06gKGeoWyq7iIYf5BnKisJcLTk4LiGq6cMYQdm60Do02amWTPw1WUM1KJXhmQxk4ZDMD3m44we3IidQ0tRHp6cry0mhGBwXxfVECSZzAHqouIdI0gxDmY7ZXfUd9eT0bdQcb7jqPG2EJhcy3eWgOtJhMGsx4AY3UrDnotl4wbxPebjxAdH4h/kKc9D1dRzkglemVA8g/yJC4xmO3rD5OaFIZWI9A0W3vAuksHGo1Ggh09OVJXSru0MMZ7NEcbj7GubAMWLIz1GU1GTREALS0SjRCUlTQQ4u3O0cxSUgaH0FTfypG0AiZMT7TnoSpKt1SiVwasiTOTyDpYSFNdM4lxQeRkl+Hv7kpVeRMAFqOGdouZo3VljPYeBcDK4lUEOQUS5hzKwZpiBJBb3kCirz/7jhcxPDKEnPwqRg2NYPuGQ0gpmTgz2Y5HqSjdU4leGbCmzLa2ad+0Op2RQyLIzilndGwY+48VE+HhSXmtdSz6w3WlBDkH4qm3Vr8M90pFCMHh2hKiDL4cLCsnwuBBc1s7PjpHAEYOiWDjqgNExgYQEeNvnwNUlLOkEr0yYAWGepOUGsH6lfsZkRKOxSIJcHKloaWNSDdPDpVUYtA5cri2BIBg50AAhnhYvyAO15YQ5ORJm9mEpcmMTquhsbwZd4MTLkJDZnoB0+cOs9vxKcrZUr07lAFt9jUjeOFPn2Oqa8XZSU9LRQsaIXBo11DT2soYgx+7K/OQUvK7+Ic6nneisZqy1gYSncMAKCquJzUymANphQxPDmP1J7vR6bRMu0IleuXCp87olQHtkjkpeHi5smrZTlKTwjhwsJD4ED9qKq1t5qOcAzjeUElGTTEaoem4Lc9PQ4PA1KwlyGAgp7iKOD8fyqsaGDI4hLVf7GPS7GR8/NzsfISK0j2V6JUBzcFRz6XXjWTH5kySYgMpLKkhPsCXnIIqnHU6tK2OOGi0rCpM73iOlJJVBRmM948mu7yaEBd3pARNq7V3rKxtpbmpjXk3jLXXYSnKOVGJXhnwRk0cBICnztoO3qFd0NZuJtLdi6zKKiYHxLGm8DBm2wQk6TVFFDXXcknAIPLr63Cy6NAIQUleNaFBXhQfq8DNw5lBySF2OyZFORcq0SsDXlxiMDqdloq8KoL83SnPrwXAQ+vIofIyZgUnUNnWyP6qAgDWFh9BLzT4aaytcJrq2ogN9CHjcBFjU6M4ciCfwUPC0GjUx0fpH9Q7VRnwHBz1xCYEkZlewISRsRw8XISvmwuyRdJiMhHh5IteaNhUah2ueFNJFqP8IsmtsX4hFBXX4e/sQpvRxPDEUPJzKkgaFm7PQ1KUc6ISvXJRSBgaTvYh6xl5u9FMsJsblRXWkSlzqusY5RfJt6XZnGisJrexiqmBgzhUUY6/iytNzUaM9UYMLo7o2swd+1OU/kIleuWikJQagbHNhAsCB70WR7OG0op6HLRajlSWM9E/huMNlSzPTwNggn8shyvKCXQyAFBV0kBqUhiZBwrQ6jTEp4Ta83AU5Zz0KNELIf4mhEgXQqQJIdYKIYJ7KzBF6U3JwyMAyEzLJzbSn5baVpCCUIM76WWljPOPBuCNrK0EOXvgrXcht6YGR4sWB52WiqJ6BscGcnBvHnEJwWpIYqVf6ekZ/WIp5RAp5TBgFfB4L8SkKL3O08dAeIw/abtyiI8JoLywDoAQRzf2FBfh7+COh94JgNG+kWzKy0MClgYLIZ7uCCAq1Jusg4UMGR1tvwNRlJ+hRz1jpZT1Jz10BeTZPC/nQB7zA+4EwNPfg4WLb2HUnNSehKIo3UodE8PXn+/hV1cNpa2pHa9IA85G64Thm/Ny8XJ0pa69lRG+4aw7fAx/V1eKcmuJ8fSmGjDWtmI2WRg2RiV65fwytZv4ePFKvnztG0xG62Q5iePjf/b+elxHL4R4UghRANzEWZ7RG7wMTLp2LJOuHYvZbOGPlz3Fc7f/k/qqhp6GoyhdGjkhjrbWdiyN7QAEuRkoL2/Az8WVzSdyGW+rvkn2CGZrfh5jgkJpaDGiaZP4ehvI3JOHk7MDyakR9jwMZYA7ui+H/xn9B959bClRKeEduXLI5J8/HHa3Z/RCiPVAYCerHpVSrpBSPgo8KoR4BLgP+HMX+1kILAQIDw/n16/eBYCxrZ3/PvkZy575gl2r9xGV8mNrhvhRsdz0p+twdnU61+NSlJ8YOjoKJ2cHThwqQqsRuKAjrayMqSlxbD6Ry+5Z9/CnoZexq6iQRqORUCd3AJqqWoiJ8GXH5kxGjI/FwVFv5yNRBorCoyW8//gyasutVYlms4VD27Pw9HPnz5/9lolXnzYP8YM/73W6PaOXUs6QUiZ3cltx2qZLgGvPsJ83pZQjpZQj/fz8OpY7OOq5/YnreXXPsyRNGIzZZMFsstDWYuSj51awcMhD7NuQ8fOOTlFO4uCoZ/TkQXy/4QihQV5Ymk2YLBZi3LypbW3lcGUFAN8V5KMRAk0LaISgorgOD0cHKsvrmTBDTTKi9JzZZObjxSu4e+hD7FqzvyPvIWHuolm8fejFnyb5HuhRHb0QIk5KedT2cB6Q+XP3FT0kgr8uf/iUZRlbj/D8gtf4/cwnmHTtGHyCvTt9bmxqFDNvnaJ6Kirdmj43lS3fHCTWxYmCsnpwBmeTFoCdhQWk+Aews6iARD9/8kprCPZ0pyG3mrqiOpxdHBg/VSV6pXuNtU0sf3l1l9XRh77L4ujeHMbPG8X//msBvl3ktt7S02GKnxFCxAMW4ASwqOch/ShlUgJvpC3mg79+wtf/3mj9xjuNxWzhi1fW8M27m3jwrUWEDlItPJWupY6NQaMR6M2SyrJGXOOdKSqvJ8LDk93Fhdw6NJW00lJuShnKps1HCXFzo4FqqgtrSB4eiZOLalapnNl3K3bzj3vfoqa0FlcPl063cfM28NiyB5g8fxxCiPMeU09b3XRZVdNbHJ0dWfDMzSx45uauYuCb9zbzxkPvc/ew3zL/oSvxj/DrdNuIxFCSenDlWun/HBx0BIR4YWkyIoAIb0/ST5QwIiWYb0/kcai8jDaziVhPbz6qayTO4IlWq6Eqr4axY2LtHb5iZ2aTme1f7KKxtrnT9fvWH+Dbj78nemgEf1v5ewaNiOnjCDvX7yceEUIw51dTGTVnGK/c9zZLnvzsjNvPvn0qdz9/K25ehj6KULnQhEb6UlxqvfgV6OLKxuO5zJ4Sz+eZh/nyaBYA7Q3WJm2ywUSIvwfVmdWERvraLWbF/o4fyOP5O1/l6L7cLrfRO+i4/W/X88uH56HTXzjp9cKJpId8grz4y2e/o6asFlO7+SfrpcXCl6+v4+PFK9j99X7ueu4WgmOtjYmEEMQMjcDBSf0svxiERvhyYHcurvFeOLZbfzaLNuu6pRnp+Lu6crSwEg8XJ8qL6ojw96Ta9jzl4lBTVktJbnnH452r9vLRcytw8zbw6NLfkDRhcKfPc3F3xtW98+oaexowif4HXgGeXa6786kbmTJ/HH+/81WevfWVU9YFxwTw4Fv3MPSSpPMdomJnweE+GFvbCQ/ypq60EUedlrKKBvQaDW1mE8l+4ew9VMTQ8EAOHD5OUohvx/OUgc1sNrP8H6t570/LaGsxnrJu5m1TWPT8bbh7979ZxQZcou9ObGoU/9z5NAe3ZdLeZu0401DTxPuPL+O30/7C5XfN4La/XY+TqyMAOr0WvYNqNz2QhERYE3aApys7D+WTOC6QQ/nlhHp6kFtbQ5SHFzsr8xgbEcoBQNcucXTS4+Pf/z7gypm1NrchpbVDf/GxUl66+w0ydx1jzOXDmXvPbDQa6y8+r0BPYodF2TPUHrnoEj2ATq9j2NTkU5aNnzeK//z5Iz57cRVfvbX+pG21XPfQldzy+HWqameA+OHM3KDT0dLaTrSPFyv3Z+Lnbe0g5Wi2NtN1MFk/5G3VLQSFeqvmuwNI2YkK/nHPm+z+Ou2U5R6+bjyy5H6mXj+hT1rD9JWLMtF3xsnFkYWLb2XqDRPZf1IHrZz0Eyx7Zjnbl+/kwbfvIbmLujml//AL9ECv16I1WpvruqKj3Wwm0s2To9VVNDcY0QhBXVkTQf7uVBbVEB7deUsupX+xWCx8+dpa3nlkCVJKrv/D1bh5uQKgc9Ax7caJePp52DnK3qcS/WnihkcTN/zUQatm3DKFl+5+gwcnP05AhC/YvumDogO458XbiUpWk1D0J1qthqAwb5orGnB20luHLAam+0fzxryr+J+3vyA6wJvs42UkxAaStmsv46aqL/j+RkrJpmXbWfr057Q2Wa+2G1uMVJfWMnL2UH7z+t0EdNEUe6BRif4sjJw1lLcynufjxSspzbNeiZdSsvebA9w74mFueOQabvjj1aouvx8JifClKL+K+JQA8vOqcHNyJLvYOgRCZnEFQ8MD2bUji1nj49ndbiZEtbjpVyoKq3j53rfYsWovMcMiSZ744xf1iJlDmX7TpAFVNdMdlejPkrPBmdv++stTltVV1vPaA+/xwROfsHHpNsIG/9grd+SsYVyxaCZarbavQ1XOQmikL3u2ZTN7XgqfrUkjdmIwWcUV1Da1UF7XiJvWej3G3fblrdrQX7jqqxv48IlPKcktsy6QkL7lMOZ2M4uev42rfn3pRf85VIm+Bzx83fnDB79m6g0TWfr051QWVgPQ2tTKji/3snHpNh58axERCWrauQtNWJQv7e1mAr0MtJvMBLi5su3oCY6WVAIgW8wIAbKp3bb9xfETv7/Z8un3vHLfOzRUNxKZHNZxlj58xhDuevZmgmM6G3j34qMSfS8Yc9lwxlw2vOOxlJL1H27htQfe457U3zHnzukYPK2dKPSOemb/air+YeoM0Z4iYgMA0JmsTescLRoaW418n50PQENVC6FBXhTnVeLla8Dd88LrBHOxSd9ymD3f/NhKJjcjnx2r9hI3PIqnv360Xzd/PN9Uoj8PhBDMvGUKI2cN5dXfvMuat9dja6qL2WTm0+e/ZMGzN3P5whmqyZ6dRET7I4SgvrQeJ0cd7U3WIQ/WZxzDxVFPUWE1g6ICyN1dSKTtS0Gxj8baJt783QeseWcDGo1A2D4zji4O3Pn0Tcx/aC5a3cVdNdMdlejPI68ATx5d+sApy0pyynjx7jd4+d632LRsG1csnNnxxvUO8mTI5MSL6iKRvTi5OBAa6UtOVikRoT7UV1oHqcotryYhxI+S7FJmTUpgxdK9XHXzeDtHe/Foa2lj99dptLdZv3gba5tY8n+fUlNayy9+N49b/zIfR2dHO0fZ/6hE38eCogN4du2f+ObdTbz+0Ps8ffPLp6yfcNUo7vvn+R+fWoHYxGDSdh4n6aoh7ErPwxDgQGOrER8XF4oluGi0tLebiUtUQ1/3hYytR3jhrtcozC45ZXlUSjh//eL3xI+8MEaC7I9UorcDIQRz7pjGpOvGUlVc07H8+5V7+M9fPmJB0gPc9ezNp0wGHBjlr6ZU7GVJw8LZ9NUBvAzOVNc04x/nR2NrNS4a68eisaIRgMRhao7Y3lZdWkNdpXVSDmmRrHpjHV++9g2BkX48seL3hMQFAdYuK8ExgapqpodUorcjV3eXU0a6Cx8cwoSrR/Piwtd5adGbp2zrHeTFr/+1gAlXje7rMAes5OGRAJgarJ1pzGZrT1lhlGg0guLsMgJDvPANcLdXiAOOsa2d//7fZyx79gvMph9HmRVCcM39l3P7/12vTmjOA5XoLzChcUEs3vBn9m/IoKnOWm9sMpr4aPEK/nLNYibPH8d9L99xxlE6lbMTEeuPl6+BshxrRymjbXjr1kYjAb5upO/OZcrsFHuGOKAc/j6L5xe8Rv6RImbcMplxc0d2rAuLDyYqRf1yOl9Uor8AaTQaRswcesqyyfPH8fHilXz4xCfs35DBPS/ezoybJ6sLtz0ghCBxaDh5OeWgg8mhYeCp5/jOQvw8DeQ05pMwTA1v0VMtTa28++hSvnhlDX5hPjy1+o+MmpNq77AuKqptXz+h0+u48Y/X8Hra3wkbHMJzt/2TR694mvL8CnuH1q8FhXlTXlSLr5crmlbJY9dOo7y8AYNtpNLgMHVRvCf2rU9nYcqDLH95NVcsmsVbGS+oJG8H6oy+nwkfHMKLW55g5b++4Z0/LuHOpAcIiv6xnXf8yBgWPHszHr6qXvlsBIV60240EehtoLi0lsamNuoaWnBEdKxXzk7WnuO888gSasut0zRazBZOHC4kJC6IF759gpRJCXaO8OKlEn0/pNFouOp/L2Xs3BEs+b/PaKixtg4xt5tZ/+EWdqzay/+8fAdTfjFeVe10IyDYeq3Dw8WJ3JJqSiqsSUoazej1Wrx81dzC3WltbuODv3zMpy98iWeAJwlj4zrWTZk/nl88fKVq+25nKtH3Y4GR/jz09j2nLMvNOMHzC17jyRteYuPSbfz6XwvwDVFT4HXFL8ia6J20GiqqGykssTZ3bW9owzfQQ/Vc7saBbw/xwl2vU3yslMsWTOeu527B4Olq77CU06h38QATlRLBP757koWLb2XfunTuTHqA1W+t75guTTmVf5B1kgmtGSwWSfqRIgCaa5rwCxx4E1D0lqb6Zv5xz5v8dupfkBbJc+sf54E3F6kkf4FSiX4A0mq1zH9oLm+mP8+gEdG8ePcbPDzjrxQfL7V3aBccZxdHXN2ckLYu9weOFOHooKO2ohG/AJXoO7Pzq73clfwgq99az7UPXMGb6c+TOk01Q72QqUQ/gAXHBPLc+j/zwBt3k703h4VDHuLTF77EbDZ3/+SLiI+/O222TlPZOWUE+LpRU96gJgM/TV1lPc/c8jKPzX0GVw8XXtr+JIuevw0nF1X/fqFTdfQDnBCCy+6awahLU3n53rd447f/4duPv+MXD1+F3sH673f1cCF54uCL9sKtt6+B5prmjsc+ngaqTWa8/S7elkstjS1kbM3EYustXFlUzfuPL6OxtolbHp+vZlTrZ1Siv0j4hfrwxIrfs2nZdl69/988cd3fT1k/YtZQfvP6QgIj/e0Uof14+7lRvDcPrxBXauqacXdx6Fh+Mdqz9gAv3f0GZSdO7aMRPyqG595+XPVg7YdUor+ICCGYdsNExlyWSuHRH+vrD3+XxbuPLeWulAe586mbmHvvrItq6jVvXzdqqprwSvSjpq4ZV0frmaq3z8XVtLK+uoE3fvsf1r63mbD4YP628g94BVpbJWl1GqJSwi+q98VA0iuJXgjxEPB3wE9KWdkb+1TOH1cP11OGfI0fGcP4eaN4adEb/Ov+f7Ppo+0X1RSIXr5utBtN/DA7jN7WWcrzIkr0Wz/bwSv3vU1dZQM3PHI1N//pOhxsvYOV/q/HF2OFEGHALCC/5+Eo9hIQ4cdTqx/l4ffuo+BIIfek/o7/PvU5pnaTvUM77zy9rU0CTSZrfbTO+geviyDRV5fW8MT8v/PE/OfxCfbmX7uf4Y4nb1RJfoDpjVY3LwIPA6qhdj8nhGDmrVN45/BLjJs3incfW8rBbZn2Duu8CwjyJC4xmOhQa8cyHy9XYgYH4WIY+K1JPl68kh2r9nHnUzfyyo6n1LyrA5ToSUcaIcQ8YJqU8n4hRB4wsquqGyHEQmCh7WEycPBnv3Df8QX6Q1WUirP39IcYQcXZ2/pLnPFSynNuJdBtohdCrAcCO1n1KPBHYJaUsq67RJPNmr8AAAU1SURBVH/aPvdIKUd2t529qTh7V3+Isz/ECCrO3jbQ4+z2YqyUckYXL5gCRAEHbO2vQ4F9QojRUkrVBVNRFOUC8bNb3UgpM4CORtfnckavKIqi9B17DYHwZvebXBBUnL2rP8TZH2IEFWdvG9Bx9uhirKIoinLhU4OaKYqiDHAq0SuKogxwfZLohRCLhRCZQoh0IcRyIYRnF9vNEUJkCSGOCSH+0Bexnfb684UQh4QQFiFEl02YhBB5QogMIUSaEGJPX8Zoe/2zjdNu5SmE8BZCrBNCHLX99epiO7OtHNOEECv7ML4zlo0QwlEI8ZFt/U4hRGRfxXZaHN3FebsQouKkMlxghxj/LYQoF0J02jdGWL1sO4Z0IcTwvo7RFkd3cV4ihKg7qSwf7+sYbXGECSE2CSEO2z7n93eyzbmVqZTyvN+wDpGgs91/Fni2k220wHEgGnAADgCJfRHfSTEkAPHAZqwtiLraLg/w7cvYzjVOe5cn8BzwB9v9P3T2P7eta7RD+XVbNsC9wOu2+9cDH12gcd4O/LOvYzsthsnAcOBgF+svA9YAAhgL7LxA47wEWGXPsrTFEQQMt913A7I7+b+fU5n2yRm9lHKtlPKHQVN2YG1zf7rRwDEpZY6U0ggsA+b1RXw/kFIekVJm9eVr/hxnGae9y3Me8L7t/vvAVX342t05m7I5Of5Pgemi7wfst/f/8KxIKbcA1WfYZB7wH2m1A/AUQgT1TXQ/Oos4LwhSyhIp5T7b/QbgCBBy2mbnVKb2qKO/A+s30elCgIKTHhfy04O7UEhgrRBir21ohwuRvcszQEpZYrtfCgR0sZ2TEGKPEGKHEKKvvgzOpmw6trGdpNQBfT3L+tn+D6+1/Xz/1DbI4IXG3u/FczFOCHFACLFGCJFk72BsVYapwM7TVp1TmfbaePRnGipBSrnCts2jgAlY0luve67OJs6zMFFKWSSE8AfWCSEybWcLvaaX4jyvuhkeo4OUUgohumrHG2Ery2hgoxAiQ0p5vLdjHcC+BJZKKduEEHdj/RUyzc4x9Vf7sL4fG4UQlwFfAHH2CkYIYQA+A34jpazvyb56LdHLLoZK+IEQ4nbgCmC6tFUynaYIOPlsJNS2rFd1F+dZ7qPI9rdcCLEc60/sXk30vRDneS/PM8UohCgTQgRJKUtsPynLu9jHD2WZI4TYjPXs5Xwn+rMpmx+2KRRC6AAPoOo8x3W6buOUUp4c09tYr41caPrks91TJydTKeVqIcSrQghfaYfe/kIIPdYkv0RK+Xknm5xTmfZVq5s5WIcyvlJK2dzFZruBOCFElBDCAesFsD5rhXG2hBCuQgi3H+5jvdB8IY7Eae/yXAncZrt/G/CTXyFCCC8hhKPtvi8wATjcB7GdTdmcHP91wMYuTlDOp27jPK1e9kqs9bkXmpXArbaWImOBupOq9S4YQojAH67DCCFGY82Pff3lji2Gd4AjUsoXutjs3Mq0j64iH8Nan5Rmu/3QmiEYWH3aleRsrGd0j/ZFbKfFeTXWuq42oAz45vQ4sbaAOGC7HbpQ47R3eWKtz94AHAXWA9625SOBt233xwMZtrLMAO7sw/h+UjbAE1hPRgCcgE9s791dQHRf/5/PMs6nbe/DA8AmYLAdYlwKlADttvflncAiYJFtvQD+ZTuGDM7Qos3Ocd53UlnuAMbbKc6JWK8Dpp+UMy/rSZmqIRAURVEGONUzVlEUZYBTiV5RFGWAU4leURRlgFOJXlEUZYBTiV5RFGWAU4leURRlgFOJXlEUZYD7f1CWZNTbAFgyAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Iteration 149 lower bound -0.7664514663873956\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Iteration 199 lower bound -0.7741346255296115\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Iteration 249 lower bound -0.7589849917205891\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Iteration 299 lower bound -0.778354542150735\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Set up figure.\n", | |
"fig = plt.figure(figsize=(4,4), facecolor='white')\n", | |
"ax = fig.add_subplot(111, frameon=False)\n", | |
"# plt.ion()\n", | |
"# plt.show(block=False)\n", | |
"lower_bounds = []\n", | |
"def callback(params, t, g):\n", | |
" lower_bound = -objective(params, t)\n", | |
" lower_bounds.append(lower_bound)\n", | |
" if(t%50==49):\n", | |
" \n", | |
" print(\"Iteration {} lower bound {}\".format(t, lower_bound))\n", | |
" \n", | |
" plt.cla()\n", | |
" target_distribution = lambda x : np.exp(log_density(x, t))\n", | |
" plot_isocontours(ax, target_distribution)\n", | |
"\n", | |
" mean, log_std = unpack_params(params)\n", | |
" variational_contour = lambda x: mvn.pdf(x, mean, np.diag(np.exp(2*log_std)))\n", | |
" plot_isocontours(ax, variational_contour)\n", | |
" plt.draw()\n", | |
" plt.pause(1.0/30.0)\n", | |
"\n", | |
"print(\"Optimizing variational parameters...\")\n", | |
"init_mean = -1 * np.ones(D)\n", | |
"init_log_std = -5 * np.ones(D)\n", | |
"init_var_params = np.concatenate([init_mean, init_log_std])\n", | |
"variational_params = adam(gradient, init_var_params, step_size=0.1, num_iters=300, callback=callback)\n", | |
"plt.show()\n", | |
"plt.plot(lower_bounds)\n", | |
"plt.title(\"ELBO\")\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"np_variational_params = np.array([variational_params.tolist()[:D], variational_params.tolist()[D:]])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import seaborn as sns" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/home/sharan/.local/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6521: MatplotlibDeprecationWarning: \n", | |
"The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n", | |
" alternative=\"'density'\", removal=\"3.1\")\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/home/sharan/.local/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6521: MatplotlibDeprecationWarning: \n", | |
"The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n", | |
" alternative=\"'density'\", removal=\"3.1\")\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"variational_gaussians=[]\n", | |
"for i, name in zip(range(D), (\"mean\", \"std\")):\n", | |
" f, ax = plt.subplots(1)\n", | |
" variational_gaussians.append(np.random.normal(loc=np_variational_params[:,0][i], scale=np.exp(np_variational_params[:,0][i]).tolist(), size=(10000)))\n", | |
" if(name==\"std\"):\n", | |
" sns.distplot(np.exp(variational_gaussians[i]), ax=ax)\n", | |
" mean=np.exp(np.mean(variational_gaussians[i]))\n", | |
" else:\n", | |
" sns.distplot(variational_gaussians[i], ax=ax)\n", | |
" mean=np.mean(variational_gaussians[i])\n", | |
" \n", | |
" ax.axvline(mean, color='r', linestyle='--')\n", | |
" plt.suptitle(name + \"'s distribution\")\n", | |
" plt.legend({'Mean':mean})\n", | |
" plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/home/sharan/.local/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6521: MatplotlibDeprecationWarning: \n", | |
"The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n", | |
" alternative=\"'density'\", removal=\"3.1\")\n", | |
"/home/sharan/.local/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6521: MatplotlibDeprecationWarning: \n", | |
"The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n", | |
" alternative=\"'density'\", removal=\"3.1\")\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x432 with 3 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"ax = sns.jointplot(variational_gaussians[0], np.exp(variational_gaussians[1]));\n", | |
"plt.xlabel(\"Mean's distribution\");\n", | |
"plt.ylabel(\"Std's distribution\");" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x144 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"az.plot_trace(np.array(variational_gaussians));" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"(-3, 3)" | |
] | |
}, | |
"execution_count": 13, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"mu_bounds = st.t.interval(0.999, len(variational_gaussians[0])-1, loc=np.mean(variational_gaussians[0]), scale=st.sem(variational_gaussians[0]))\n", | |
"log_std_bounds = st.t.interval(0.999, len(variational_gaussians[1])-1, loc=np.mean(variational_gaussians[1]), scale=st.sem(variational_gaussians[1]))\n", | |
"\n", | |
"for i in range(len(variational_gaussians[0])):\n", | |
" if (variational_gaussians[0][i] < mu_bounds[1] and variational_gaussians[0][i] > mu_bounds[0]) and (variational_gaussians[1][i] < log_std_bounds[1] and variational_gaussians[1][i] > log_std_bounds[0]):\n", | |
" sns.kdeplot(np.random.normal(loc=variational_gaussians[0][i], scale=np.exp(variational_gaussians[1][i]), size=(1000)), alpha=0.5, color='orange', legend=True)\n", | |
"ax = sns.kdeplot(np.random.normal(loc=np.mean(variational_gaussians[0]), scale=np.exp(np.mean(variational_gaussians[1])), size=(1000)), lw=2, color='k')\n", | |
"ax.set_ylim([0,1])\n", | |
"ax.set_xlim([-3,3])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python (GPUReady)", | |
"language": "python", | |
"name": "gpuready" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.6.4" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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