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{
"metadata": {
"name": "",
"signature": "sha256:8652444e6e848f53dbe620919ab302c4640303f7f735123dac0e17e714d48dad"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"!date"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Fri May 9 17:10:58 PDT 2014\r\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import seaborn as sns # pretty plots"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# PyMC2 Version"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pymc as pm\n",
"import numpy as np"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class StandardNormal(pm.Gibbs):\n",
" def __init__(self, stochastic, verbose=None):\n",
" pm.Gibbs.__init__(self, stochastic, verbose=verbose)\n",
" \n",
" def step(self):\n",
" self.stochastic.value = np.random.normal()\n",
"\n",
"A = pm.Uninformative('A', value=0)\n",
"B = pm.Normal('B', mu=20+A, tau=10)\n",
"\n",
"mc = pm.MCMC([A,B])\n",
"mc.use_step_method(StandardNormal, A)\n",
"mc.sample(iter=5000, burn=100)\n",
"\n",
"pm.Matplot.plot(mc)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------100%-----------------] 5000 of 5000 complete in 0.4 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting A\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" B\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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EZDP8/f2Rk5MDqVSK7Oxs+Pn5AajpecrMvLt+Z2ZmJoKCgjRuDwwMFDyPVNpw\n7U9TsufzN8W5HR2ND7zd3FxM8rnw2lsuBlREJLrmfp5m+eM3YMAAbN++HdOnT8eOHTswaNAg1fb5\n8+dj0qRJyMrKQlpaGiIiIiCRSODl5YVTp04hIiICcXFxmDhxouB5zPkr3dy9BOY8f1OdWy5XwtHI\nMsrLK5v8c+G1N2/bhTCgIiLR5eeVwKPer36xA6x58+YhJSUFBQUFiIyMxOzZszF9+nTMmTMHW7du\nVU2bAABhYWEYPnw4oqKi4OjoiOjoaNVwYHR0NBYuXIjy8nJERkaiX79+otbTFnFOIvvDay5MtIBK\n0x+3sWPHilU8EZGaVas0J0Vv3LhR4/YZM2ZgxowZDbZ36dJFNY8V6Yc3VfvDHCphogVU2v64EZEd\nYjI4EdkZ0aZNICJSuTNpJhGRvWAOFRERGYT5NPaH11wYAyoiIjIIb6r2hzlUwjjkR0RERGQkBlRE\nJD4mpRORneGQHxGJj0npNo35NPaH11wYAyoiIjIIb6r2hzlUwjjkR0RERGQkBlRERERERuKQHxGJ\nj0npNs1S8mmUYuXqMedPkKVcc0smWkCVnJyMt956CwqFAuPGjcP06dPFKpqIrA1vUDbNUm6qf1/4\nGwvf/wbu3s2NKsfRuy0cRaqTrWIOlTBRAiq5XI7ly5djw4YNkMlkGDduHAYOHIjQ0FAxiiciK3Pi\nQg5aSb3MXQ2ycQqFAi7+4XDzDTJ3VYjEyaFKTU1FSEgIgoOD4ezsjKioKCQkJIhRNBFZoXNp+eau\nAhGRSYkSUGVlZaFFixaq1zKZDFlZWWIUTURWSMIcKpsWE7NKlVND9iEmZhWWLVtm7mpYNFGG/PjH\nk4jIflhKDhWZDnOohIkSUMlkMmRkZKheZ2ZmQiaTiVE0EVkhFxdHSKXe5q4GEZHJiDLk16VLF6Sl\npSE9PR2VlZXYvXs3Bg4cKEbRRGSFKivlyMkpUvsfEZEtE6WHysnJCUuWLMHUqVNV0ybwCT8i+8Us\nANvGOYnsD6+5MNHmoYqMjERkZKRYxRERkYXiTbWhU1dL8PzCj40qw8+tAu9GvyxSjcTFHCphnCmd\niIjISI7N20NhZBkS5WVR6kLmwbX8iEh0HPEjInvDHioiEh0XnrFtzKexP7zmwhhQEZHo2ENl23hT\ntT/MoRLGIT8iEh17qIjI3jCgIiLRebo5m7sKREQmxSE/IhJd57bNzV0FakLMp7E/vObCGFARkei4\nvqdt400wu0YyAAAgAElEQVTV/jCHShiH/IiIiIiMxICKiIiIyEhGB1Q///wzoqKi0KlTJ5w5c0aM\nOhERkQWLiVmlyqkh+xATswrLli0zdzUsmtE5VB06dMAnn3yCN954Q4z6EJENYAaVbWMOlf1hDpUw\nowOq0NBQMepBREREZLWYQ0VERERkJL16qCZPnozc3NwG2+fOnYsBAwaIXikisnIc87NpnJPI/vCa\nC9MroNqwYUNT14OIbIiPtxukUm9zV4OaCG+q9oc5VMJEHfJTKrmCF5EhZo+NMHcVmkRhUTlycorU\n/kdEZMuMDqh+++03REZG4tSpU3jhhRfw/PPPi1EvIrtwX/sAc1ehSUg45kdEdsbop/wGDx6MwYMH\ni1EXIiKyAsynsT+85sK4lh+ZRHNvV+QXVZi7GnapR0cpjv2dY+5qkA3hTdX+MIdKGKdNIJOInvyg\nuatgsUY93LZJy39ueDiierdp0nMQEdk7BlRNyEHCPJJaPh4u5q6CVZo1vhsmDu1oVBmebs4YG2na\nCXj51Scie8OASiQRof4Nti14qrsZakKW7v2ZffQ+1kEigYer9Y3Md7nHz9xVoCbEtfzsD9fyE2Z9\nf6mtSIfWvuaugs1r19IHV24WmrsaGvW/ryX2/3mzwXZ3VydMGBCG8iq5XuUoYX3TkTTzcjV3FagJ\nMYfK/jCHShh7qBqha7uGvVGWLjxE/ODu0e6tRC/TUKae+szd1VHvY58dFo5ObZpr3DekZwhGPXwP\nAEDC8TEiIqtnEQFVj/BAtdfjHw3Fk4Pao5mXZebd+Hg4N9gmdEu0hqTg+j1qc8Z3w7M68neGPRSi\nV7khgV5G1cucmnm5YHiddnq7W+Z3Uh+hLX3MXQUiIptlEQHV5OHhaq8f7BiIwT1a45nBxiXjNpXG\ndIo81Ekmej0MoU9PjqODelgYEeqP/jp6ofRNNJ81tqvO/a0CPPUqR7Om7aKSABj/aBh6dZbd3WBs\nmQaUoVT9H+M5O1nEf+5kA5hDZX+YQyXMIv/CBvi6m/yc7QR+vd8Xpn1G64BmbhY5bGPM4/j6DG25\nujji07n9dB7z6P2tENBM4Hpa3kenUttrd++dJOuenQJ1Hd6AuZdj8nSzzzTJdevWISoqCiNHjsT8\n+fNRWVmJgoICTJ48GUOHDsWUKVNQWFiodvyQIUMwbNgwHDx40Iw1tw4zZ85jHpWdmTlzHqKjo81d\nDYtmloBqyZSHRCknyM9DlHIA4Xu6Q53em5F92qrtG9pT+9BXh+BmAIDmPsJJur3vDUL7O8cbou4T\nhgPuv9uj5Ol2d2hSU7w3vJd6vese8/7Mh1X/fvFx7T1M7jqeQGvh74GJQ/ToZdQz5qjbNtVbmzhe\nGXHnWvfpEoQV0x7C6EfaiX6Opown634+bi72EVylp6fj+++/x/bt27Fr1y7I5XLEx8cjNjYWffr0\nwZ49e9CrVy/ExsYCAC5duoTdu3cjPj4e69evx7Jly6BQKMzcCiKyNkYHVO+88w6GDx+OUaNGYdas\nWSgqMvwJgMZ27vzfgLDGvbGetkHeBh0vMyCQW/DU/Vjz0iNqwY0200Z2xuxxxi2Wq5YELfS56ghG\n6gZK3TtIjaqTWMb3F+d6G6J2GFQikaCFv6fec4sN7dla9T5BJuqhe2ZIh7tDlzbMy8sLTk5OKCsr\nQ3V1NcrLyxEYGIjExESMGTMGADBmzBjs3bsXAJCQkICoqCg4OzsjODgYISEhSE1NNWcTiMgKGR1Q\n9e3bF/Hx8di5cyfatm2LdevWiVEvvRgS2OjyxiThWbwbe89zcJDAy104mDJG3bo5OjionuhrKZCb\nFOSv/vmZeXRKkKtLw2HI+nlf2gx5sLXg8KQmjR3K/b8B7QFoHvKrv3Bw+1baeyWVSs1xr749mXWr\n7+fjhumj7tXrfdbM19cXU6ZMQf/+/fHII4/A29sbDz/8MG7duoWAgJqh+4CAANy6dQsAkJ2djaCg\nINX7g4KCkJWVZZa6WwvmUNkf5lAJMzqgevjhh+HgUFNMt27dkJmZ2ahyljzXQ+9je3YKRMfWvqIO\n+QnGEgL31XAtj8cbStcQmj66hvph9rgIvPb0/bi3rR/6dWuJScPD4XtnXqC6OUB9ugQ1KsgQnRE9\nNFOiOjWYmkBTAOsgkRj92TaVTm11T4Lp7NjwP9MZj3UR7fz6BqW1hvZsrXU6CEtw7do1bNq0CYmJ\niThw4ABKS0sRFxendoxEItEZLFtiTqQlYQ6V/WEOlTBR7zBbt25FVFRUo957Twv9H+kW82aiTWgr\nH1y+oX3CyPdn9sHLMYdUrwc9EIwtCRdVr12d9Z+vqC4HiQQzHrsXa+PO6P2eusGgo4MDHF0cVMnU\nk+48Qdm9fQCae7ti6EMhSDmXrTrW3dX4NLq+XVvg4F8ZjS/AiJ6xFv6eeOXJ7pjydqJqW9ewAByu\nXx8rvT86OgAR7QPwcNcgSJu5Y8fBq+jeXvsDEpH3tUSShslExdQh2BduLk44l5bfpOdprNOnT6N7\n9+5o3rwm6Bs8eDD+/PNPBAQEICcnB1KpFNnZ2fDzqwlkZTKZ2g/BzMxMyGS6h0alUsPSBMRmz+ev\ne26/TGOeELY8Li5Ogp8tr73l0iugmjx5MnJzcxtsnzt3LgYMGAAA+Oyzz+Ds7IyRI0cKlude78mj\n+kMgtbq280NoKx8olRBtNuzXnr4fnm5OWPJ5itr28JDm6ueod5OvX0M/Hze11w4OEjg7OaCquiaZ\ndfGzDzQ493+n9MSVjEJs/Pm8zjp2uccfzb1d4SCR4FZhue4G6cnbwwXjH72bg+TkKF6E0bNToHEB\nlQk9O7QjTlzIwemreY0uw5Szs0skEjg5OmBqVGcAwKi+NZOB5hdViHqe2Ff6Y/p7+3Ue4+nmhJLy\navh4WvZcXO3atUNMTAzKy8vh6uqKw4cPIyIiAu7u7ti+fTumT5+OHTt2YNCgQQCAAQMGYP78+Zg0\naRKysrKQlpaGiAjduYzmnC3a3LNVm/P89c+dl19ilno0lcrKap2fLa+9edsuRK+AasOGDTr3b9u2\nDUlJSdi0aZNeFevSzh/PDA/HV3cCiwCpl9oTSHUrvnreo9i27yKu3Dyrcb8mbYK8kZap+YPvcE8A\npM3VH+OXSr3x2KNh2H0kTbXNqV4Pk2udpPL65/f2coVU6o2WAZ5IyyzC5BH34r7OLRqcWyr1Rvd7\nW2gMqB66N0it3M1Lh2HLb3/j6190B18A4Oqq+bPTZts7IwBIGsxL1L1joKrXQZ9yao9pdqtM434n\nJwe9ynHUc34kTWXVbnvxifvw8fd/AtCct+Th7gKp1Bvjh4Rj/JBw/HTwCtZt/0vwnP5+npBK1Scm\ndb3zXXV3dURZheblY2rr5aLhybr633ddJBKJxnb7+NYMd3cI8cWFawWq7e71Jh51cND8fvVzAC2C\n1HOyfDxdUFhSqbbt45cH4OzVW+h1XzCuZhXrLNOcvyTDw8Px2GOPYezYsXBwcEDnzp3xxBNPoKSk\nBHPmzMHWrVvRqlUrrF69GgAQFhaG4cOHIyoqCo6OjoiOjuaQn4Da/CkO+9kPXnNhRg/5JScn4/PP\nP8eXX34JV1f91u+SSCQY0K2lKqDKzS1WGyKrH4U61uku6tSmuWCUWi3X/shzdUUlcnKq1bbl5BQh\nP79UbVtVvXXWqiqr1Y4HgKcHd8DXv11AWIuayHnWmK44kHoTvcIDDIqkFz/bAyEyrwbvKSlR74Xo\n2s4ff1251eD9FRUN69YYVVX6lzO0Z2vVMbdvl2o8prpaoVd95NX6PaKuqazabd3b6c5DKi2rVHv/\nQx2l2NrMDbm3dfcA5uWVwLled2VVdc13Q1cSf+25KiurG+yr/33Xxc/HVetn+OncfnB1dsTz7+5T\nbSsvUw+CFAqlXteg/jHTRnbGb39cR+rlOt+36mp0bt0MOTlFKCmthC6azmnKIGvatGmYNm2a2jZf\nX19s3LhR4/EzZszAjBkzTFAz28Cbqv3hWn7CjE6gefPNN1FaWoopU6Zg9OjRWLp0qcFlCP0W7NX5\n7hM4L0+4r9HlrX6xL5w0JPhqUv9mOaZfw/mHBj4QjJ3vj1IN//k3c8PoR9rB2cmw/KnA5u4a61W/\nHUIzXbfwFy9JX0jdxO/md9of0MxN2+EG8xeYt6tPl6AGTzEGS7UvcdP1Ht0BlyFql9IJFnFJnUci\nWjRIpp80PBzd2mufssLd1UltfjSgcelo9b/ry6b0xL0CifJiXmsiIltgdA/Vr7/+anQl6t8UdO2v\n3xUfLPVCeo7u4Ye7b9axq0EXv/pdprmX5hu8KYcGJADentEbN7KL8fG2muGqZVN6YlvSZQCAi4GB\nnFhaBXji1ae6o5XUC7M/OiBKmYHNPXCrUHue0PMjOmvdp1TW3PBre59Wv9hXY95PYy/d+P5haBvk\nA6mvG9755iQAoMs9fhjeqw3e+/Zko8qc/K9OmKRUYuo7Nb1N/j6u6NetpdHfL0PeP+Oxe/HH+Wy0\nkjZM9P3PGPXJXXvfGwS5Qomu7fwx/9PfjaojEZEtMOvSM8un9sTssRF69xppsnTKg1jwZHfV62eG\ndND+K13Hz/eAZm7o2/Vu3lNTBkp6z5+loQ6Bvu7oVmcZnNYWsvBwx5DmTT7flpC6H9czdWZoF0qi\nfkDXxKUavgauLo7oG9ECLnWG7ZSA3lMJaPtm1f3OmXJKsNrT9uwkw3/GdFVNXlpbmzYybzzQUf0z\ncnCQoF+3lmjuffeHhqUnq5N4OA+V/eE8VMLMGlC1knrhPh2PgNf1aPdWaKNhRnMHiQSOdZ5Y6xFu\n2FprtSQSCaZEdVK97tMlSMfRxnnz+Z56zf+kNaSrt8PC5+MU1Kltc8EhPn3U/Vg8DJhzysVZ/T+D\nxk55YW7OTg46l0FqanV/kJBt4zxU9ofzUAmzzJkONZg4VI814URU/6YqZodV7fxPgx4IRsr5bK03\n/0fvb4UzV/Pw9/UCjfstnVAvn7+PG8orqzGkR2s8NaiD2lxSzwzpgPU/ncOTA9ujtcxLNbnlR7P7\norSiYaI3ADw7LByxu85g4r864WZm46Y1eGdGb3i6OWPW6mSD3jeid5tGnU9MH856GB56LHFUn7eH\n5p4lfQP1ycPDcS4t3+w9lERE5mTWHiqx6LNOniV6anAHrH6xr9YcMk83Z7z69P1oJbCEjDke8NZn\nSFTT9AV13d9Bio/n9EOAr3uDfS38PbHkuR4IC24GV2dH1Wfk7eECWXPNQ6btWvrg7Rd6o02Q/pPE\n1if1dYeHm36/M+oGEB1DdA/3GbpepFjLAEl9dSeP9+vWEvP/T+BBD4FL/Ui3lnaxpA0RkS5W00Ol\nS/2nvTQt1WGouje00XcmUzQ7idr/E42TowTVcqVBuWxCwZImzbxccLv47uP2yiYcrNTnM9KnCbrK\nkfq64z9juiJEdjePLXrSgxoDZJc6T2ia6jmG5t6uDZLJASAi1F81HULtTPo6WfuYMomOcxLZH15z\nYTbRQ1XftJGdERHq33BHnRuZrHnDXpG61G72Fj7HX/s7y8w0dn211yf2QP8HgtGvW0sxq9WwF8uk\nmdamOc0DHaWQ1ulhaxPkrflBARM+Dfr04A4AgDee69FgRn8AeHFswyBLEwv/2pMZMYfK/jCHSphN\n9FDV18LfE3PGd1PLyanPx9MFWfllCA/x1XxAg5u/Zd1eeoQHot2d9Q+H9myNe4K8VYGVodoEeWN+\n15Ymn7BN25JDYqhdOPuhzrrXZKu1+sW+kCtME/Hp0zNmzDD2wAeCMfCBYK37HR1s8ncUEZFZ2e1f\n1tqJCzsLTGBoiSQSCWaO7oJhD9U80eXo4IBObf2Mmn6iKfS/T73H68lB7XUev+7lSNHO7enmjHUv\n98f0kdrnq6rLx9NFbQoAsdQuMePmot+Tg08OrPmMpo/Sr96WpLZX+DFLGSInIjIhm+yh0qpOz0BU\nnzbofI+fqpdHx6FmZ0l1EfL2C73w2roj6H9fSwzq0VptX89OMjwYHohZq5M1roHn7OSIaSM7w0+k\nwEZoZnm9RuGMHKp7ZkgHuLo4YlxkKF757JBgkYMfbI3BD7bWfoAJtQnyxqnLt9CupX5J/i0DPBH7\nSn+LC+xJfMynsT+85sIsKqDqfa8Ml2807nF3Qzk6OCCsVTPhA++whLVSLaAKggKbe+i8qUokErw0\nrhu+3XtR1cNWV+97m27+L3Pw83HDCxb4BNyiiQ8IfqejerdFsNQLXTXlI2rBYMo+8KZqf7iWnzCj\nA6rVq1cjMTEREokEvr6+ePvtt9GiReMm+Js20nJuPI15io1qCN1UO7T2RfTkB01UG+NYQxDbGPr8\nmHB2cmj0RLlERPbG6J+Tzz//PHbu3Im4uDgMGjQIn3zyiRj1ahpWene8p0XNHEatdCz+S4arndm7\n7lI+tYY82Bruro5NkldFRES2x+geKi+vuzf50tJSNG/euEf3LY0SNRM3FpdVmX0pkqcHd8C9bf3w\nQEf2FohpRJ+2eLhrC41TC0wY2B4TBupOorc8VvqLgawO82nsD6+5MFFyqD788EPExcXBzc0N33//\nvRhFmp8SePWp7th7PB39u7cya1XcXJzQy8ZyiyyBRCLRGEwRkW68qdof5lAJ0yugmjx5MnJzcxts\nnzt3LgYMGIC5c+di7ty5iI2NxcqVK7Fy5UrRK2oq/bq1QPKpDIS1aoZWUi88N6xmJulqucLMNSMi\nIiJLpVdAtWHDBr0KGzFiBKZPn67XsVKpYWub6SvA3wvNvDTnvfj7ecFXICfm5YkP4oWxVfDxVF8w\nVl4noKpf96Zqi6nVbYdQmzw9XS263ZZct4AAb7gYMIysb1ukUq9GLY5MRETGM3rI759//kHbtm0B\nAAkJCejUqZNe7xO727BNkDfSMotQUlSOyrJKjcfculWMqnLN++rLKa1Qey1X3A2o6tbdVrpA67dD\nqE0lJRUW225Lvya5ucWCc2TV0qctrzzZHdeyar77JUXlYlSxSVhykEuGYT6N/eE1F2Z0QLVq1Spc\nvXoVDg4OCAkJwdKlS0WoluGWPNsDFVVytRvV2vmRkEiAF95PqtnAnF2yQZ3aNG/0Oo5EjcGbqv1h\nDpUwowOqNWvWiFEPozk4SODuqt4cQ4ZVqMbSyQ/Cy53DRk2Lc5wREdkaTmtMakJk3hqffHugg9QM\ntSEiIrIOFrX0DFmuFx67F7dul2Nh7BFzV8UGcOyZrBvzaewPr7kwBlR6ktj5TdDJ0QEyPw9zV4OI\nLABvqvaHOVTC7GrIz75DIiIiImoqdtFDNevxrrhwvQDeHi7CBxM1MQkjeyIim2MXAdX9HaS438ik\naokE6NFRitBWzUSqFdmbJc/1QFZ+KZwc7apjmGwQ82nsD6+5MLsIqMQgkUgwc0xXc1eDrNg9LXxw\nTwsfc1eDyGi8qdof5lAJ409lMsiCJ7ujQ2tfsy8YTUREZEnYQ0UGCW/THK9xVm4iIiI1DKiIiMgg\nzKexP7zmwkQLqL744gu8++67OHLkCHx9fcUqloiILAxvqvaHOVTCRMmhysjIwO+//46WLVuKURwR\nERGRVREloFq5ciVeeeUVMYoiIiIisjpGD/nt3bsXQUFBCA8PF6M+RERk4ZhPY394zYXpFVBNnjwZ\nubm5DbbPmTMHsbGx+OKLL1TblEqleLUjIruyYMECREVFITIy0txVIR14U7U/zKESpldAtWHDBo3b\nL1y4gPT0dIwaNQoAkJWVhbFjx+KHH36Av7+/zjKlUm8Dq2q5bKUtttIOgG2xVm+++SZ2796NOXPm\noHv37hg/fjw8PLgoNxFZPqNyqDp06IBDhw4hMTERiYmJkMlk2LZtm2AwRUSkSX5+Pq5fvw5vb28E\nBARg0aJF5q4SEZFeRJ2HSsJVX4nICBs2bMBTTz2FkJAQAEBQUJCZa0SaMJ/G/vCaCxM1oEpISBCz\nOCKyMz179lQFU/v370f//v3NWyHSiDdV+8McKmFcy4+ILMYff/yh+vexY8fMWBMiIsNw6Rkishh5\neXk4fPgwAODWrVtmrg0Rkf4YUBGRxVi8eDF27doFpVLJhHQLxnwa+8NrLsykAVVycjLeeustKBQK\njBs3DtOnTzfl6fWycOFCJCUlwd/fH7t27QIAFBQUYO7cubh58yZatWqF1atXw8fHBwCwbt06bN26\nFQ4ODli8eDH69u0LADh9+jQWLlyIiooK9OvXD4sXLzZpOzIyMrBgwQLk5eVBIpHgiSeewLPPPmuV\nbamoqMAzzzyDyspKVFVVYeDAgZg/f75VtqWWXC7H2LFjERQUhLVr11ptWwYMGABPT084OjrCyckJ\nP/74o1FtKSoqQlBQEPr27YtNmzZh1qxZJm8TCeNNtWnkF1Xi/Zgvte53c3dBeVmlzjKU1eV4ZfY0\nsavGHCo9mCyHSi6XY/ny5Vi/fj3i4+MRHx+Py5cvm+r0ehs7dizWr1+vti02NhZ9+vTBnj170KtX\nL8TGxgIALl26hN27dyM+Ph7r16/HsmXLVBObLl26FCtWrMCvv/6KtLQ0JCcnm7QdTk5OWLRoEeLj\n4/Hdd9/h66+/xuXLl62yLa6urti8eTPi4uKwc+dOHD16FMeOHbPKttTavHkzQkNDVa+tuS1ffvkl\nduzYgR9//NHotvTu3RsODg4IDAzEv/71L7O0h8hcqn064WxhK63/O5El1bn/bGErnEkvNXcz7JbJ\nAqrU1FSEhIQgODgYzs7OiIqKssinAnv06KH6NV0rMTERY8aMAQCMGTMGe/fuBVDzVGNUVBScnZ0R\nHByMkJAQnDp1CtnZ2SgpKUFERAQAYPTo0ar3mIpUKkWnTp0AAJ6enggNDUVWVpZVtgUA3N3dAQBV\nVVWQy+Vo1qyZ1bYlMzMTSUlJGD9+vGqbtbYFaLg6gjFtad++PZ5++mmcPn0a7dq1M3lbiIgay2RD\nfllZWWjRooXqtUwmQ2pqqqlOb5Rbt24hICAAABAQEKBKls3Ozka3bt1UxwUFBSErKwtOTk5q8+fI\nZDJkZ2ebttJ1pKen49y5c4iIiLDatigUCowZMwbXrl3Dk08+ifbt21ttW9566y0sWLAAxcXFqm3W\n2haJRILJkyfDwcEBEyZMwBNPPGFUW44ePYrbt28jPT0dBQUFWLNmjcnbRMKYT2N/eM2FmSygspVJ\nPyUSiVW1paSkBLNnz8brr78OLy8vtX3W1BYHBwfExcWhqKgIU6dOxZEjR9T2W0tb9u3bB39/f3Tu\n3BlHjx7VeIy1tAUAvv32WwQGBiIvLw+TJ09u0KtkaFtWrVqFn376Cfv27TMqKb2wsBCLFy/GxYsX\nIZFIsHLlSrRp08bg3C7SjDdV+8McKmEmG/KTyWTIyMhQvc7MzIRMJjPV6Y3i7++PnJwcADW/sv38\n/ADUtCkzM1N1XGZmJoKCgjRuDwwMNG2lUTM8Nnv2bIwaNQqDBg0CYL1tqeXt7Y3IyEicOXPGKtty\n8uRJJCYmYsCAAZg/fz6OHDmCV155xSrbAkB1Tj8/PwwePBipqalGtWXlypX45ZdfEBgYiLVr1za6\nXitWrEC/fv3w888/Y+fOnWjXrp1BuV0KhaLR5yYi+2SygKpLly5IS0tDeno6KisrsXv3bgwcONBU\npzfKgAEDsH37dgDAjh07VMHJgAEDEB8fj8rKSly/fh1paWmIiIiAVCqFl5cXTp06BaVSibi4ONV7\nTEWpVOL1119HaGgoJk2aZNVtycvLQ2FhIQCgvLwchw4dQufOna2yLfPmzUNSUhISExOxatUq9OrV\nC++9955VtqWsrEw1bFlaWoqDBw+iQ4cORrXFw8MDN27cwKBBg+Dm5taoehUVFeHYsWMYN24cgJoH\nNLy9vQ3K7bKWdAQishwmG/JzcnLCkiVLMHXqVNW0CXWfcrIU8+bNQ0pKCgoKChAZGYnZs2dj+vTp\nmDNnDrZu3aoaKgCAsLAwDB8+HFFRUXB0dER0dLRqeCM6OhoLFy5EeXk5IiMj0a9fP5O24/jx49i5\ncyc6duyI0aNHq9pmjW3JycnBa6+9BoVCAYVCgcceewy9e/dGp06drK4t2ljjdcnNzVVNayCXyzFy\n5Ej07dsXXbp0aXRbsrKy4OnpiUOHDjV62DM9PR1+fn5YuHAhzp8/j3vvvReLFi0yOLeLtGM+jf3h\nNRcmUdZ/RIeIyIwuX74MpVKJsLCwRr3/r7/+woQJE/Dtt98iIiICK1asgKenJ77++mu1pW169uyJ\nlJQULF++HN26dcOoUaMAAK+//joiIyMxZMgQUdpDTeevv07jpdW/w9O36RfR/mlVzQ/TEfN2NPm5\njOFw+wzi1nNSXHPgTOlEZDHmzav59VteXg4AiImJMbiM2rys2iklhg4ditjYWAQEBCAnJwdSqVQw\nt0sov9OcibnmTgw25/nrnzsvv8Qs9bBk1XJFk10fS7r25ji/EC6OTEQWY9WqVVi1ahU+/fRTPPjg\ng40qQyqVokWLFrh69SoA4PDhwwgLC8Ojjz5qUG4XEZEh2ENFRBajdpqD6upqXLx4sdHlLFmyBC+/\n/DKqqqoQEhKClStXQi6XG5zbRZoxn8b+8JoLY0BFRBZjz549AAAXFxc8++yzjS4nPDwcW7dubbB9\n48aNGo+fMWMGZsyY0ejz2RveVO0P56ESxoCKiCxGly5dVP/OzMxEZmYm+vfvb74KERHpiQEVEVmM\nH374Affffz8kEgmOHz9u8rm1iIgaiwEVEVmMdu3aYerUqQBqJnStnYiTLAvzaewPr7kwBlREZFEW\nLVoEiUSimoSTLA9vqvaHOVTCGFARkcWYO3cuMjMz4ePjAxcXF3NXh4hIb5yHiogsxltvvYVPPvkE\nXl5eWL58ubmrQ0SkN/ZQEZHFkEgkaNmyJQDA21t4ZmIyD+bT2B9ec2EMqIjIYri4uODy5cv48ssv\nUVhYaO7qkBa8qdof5lAJY0BFRBZBqVRi6NChyM/PBwA89dRTZq4REZH+GFARkUWQSCQ4evQopk2b\nZmK9J84AACAASURBVO6qEBEZjAEVEVmEvXv3IiEhAQcPHkSzZs0AAGvWrDFzrUgT5tPYH15zYWYJ\nqKqr5cjPLzXHqUXXvLmHTbTFVtoBsC2WSirVnWR+4MABbNmyBdHR0Vi2bJmJakWNIcZNNf3GDRz+\n47hB7/H2ckNRcbnq9c0b6ZBImhtdFxLGHCphZgmonJwczXHaJmErbbGVdgBsi7XKyMjA/v37kZGR\ngaSkJABAZGSkmWtFTWVv0mEk/dOsEe90r/Pv9vBoZj//jZBl45AfEVmEYcOGIT8/H8OHD0deXp65\nq0NNTCKRQOLAYIhsBwMqIrIIjz/+uLmrQHpiPo394TUXxoCKiIgMwpuq/WEOlTAuPUNERERkJAZU\nREREREYSDKgWLlyIPn36YOTIkVqPefPNNzFkyBCMGjUKZ8+eFbWCRERkWWJiVqlyasg+xMSs4nQm\nAgRzqMaOHYuJEyfi1Vdf1bg/KSkJaWlp+PXXX3Hq1CksXboU33//vegVJSIiy8AcKvvDHCphgj1U\nPXr0gI+Pj9b9CQkJGDNmDACgW7duKCwsRG5urng1JCIiIrJwRudQZWdnIygoSPU6KCgImZmZxhZL\nREREZDVEmTZBqVSqvZZIJGIUS0REFohzEtkfXnNhRgdUgYGBaj1SmZmZkMlkOt/Ttm1b/PPPP8ae\n2mIIrVFmLWylHQDbQtSUeFO1P8yhEmZ0QDVw4EB89dVXiIqKwp9//gkfHx8EBAQIvs9WLoqtfMFs\npR0A22KpGBgSkS0TDKjmzZuHlJQUFBQUIDIyEi+++CKqq6sBABMmTEBkZCSSkpIwePBguLu7Y+XK\nlU1eaSIiIiJLIhhQrVolPNfIG2+8IUpliIjI8jGfxv7wmguz2LX8lEolxo4dgenTZ2LYsChzV4eI\niO7gTdX+MIdKmMUuPZOaegp9+jyCAwf2N9k56j6dqFAomuw8REREZNsstodq//4EjBkzDl98sQ4l\nJcXw9PRS279s2WLk5GRDoVAgOvpNyGRBOHz4IDZu/BwuLi4YOXI0Bg0aijffjEZ2dhY8PDywZMly\nFBcX4c03oxEQEICwsI5ISTmMTp3uxcWLf+PDDz81U2uJiIjImllkQKVUKnH16mWEhobhkUf64+DB\nZAwd+i+1Y157bTFcXd2QnLwfcXHbMG3av7FuXQxiYtbDw8MDSqUS+/cnQCYLwhtvLMeePbuxdet3\nGDYsCrm5Ofjoo8/g5OSElJTD6NWrD2bOnG2m1hIRWRfm09gfXnNhFhlQ/fXXKWRmZmD+/Nmorq6G\nt7eXWkClUCjw6acf4cqVy6ioKEe7dmEoKMhHYKAMHh4eAGomF71xIx3h4Z0AAOHhnZGScgQAEBbW\nHk5Od5seHt7ZhK0jIrJuvKnaH+ZQCbPIHKp9+xKwbNlKfPDBGnz0UQwUCiVKS0tU+y9c+BslJcX4\n5JNYPP30c1AqlfD1bY6cnCyUlZUBqOnlCg5ujbNnzwAAzp07g9atQwAAEol6sx0cLPJjICIiIith\ncZGEUqnEiRPH0LFjuGpbly4ROHAgSfW6bdt7kJmZiblz/4M//zwBoKZHavr0mXjppX9j9uwZ+O23\nX/DII/2RnZ2FWbOmIzHxN4wd+3+qY4mIiIjEYnFDfhKJBJs2fau27amnJqq9dnNzw6ef/q/Be3v3\n7ovevfuqbYuOflPttbe3N5Yvf1v1+uOP1xlbZSIiu8J8GvvDay7M4gIqIiKybLyp2h/mUAmzuCE/\nIiIiImvDgIqIiIjISBzyIyIigzCfxv7wmgtjQEVERAbhTdX+MIdKGIf8iIiIiIzEgIqIiIjISBzy\nIyIigzCfxv7wmgtjQEVERAbhTdX+MIdKmOCQX3JyMoYNG4YhQ4YgNja2wf68vDxMnToVjz32GEaM\nGIFt27Y1SUWJiIiILJXOgEoul2P58uVYv3494uPjER8fj8uXL6sd8/XXX6Nz586Ii4vD5s2b8c47\n76C6urpJK01ERERkSXQGVKmpqQgJCUFwcDCcnZ0RFRWFhIQEtWOkUimKi4sBACUlJfD19YWTE0cS\nich85HI5Ro8ejRkzZgAACgoKMHnyZAwdOhRTpkxBYWGh6th169ZhyJAhGDZsGA4ePGiuKluVmJhV\nqpwasg8xMauwbNkyc1fDoumMfLKystCiRQvVa5lMhtTUVLVjnnjiCTz33HPo27cvSkpKsHr16qap\nKRGRnjZv3ozQ0FCUlJQAAGJjY9GnTx9MmzYNsbGxiI2Nxcsvv4xLly5h9+7diI+PR1ZWFiZPnow9\ne/bAwYEPQOvCHCr7wxwqYTr/akgkEsEC1q5di/DwcBw8eBBxcXH473//q+qxIiIytczMTCQlJWH8\n+PGqbYmJiRgzZgwAYMyYMdi7dy8AICEhAVFRUXB2dkZwcDBCQkIa/GgkItKHzh4qmUyGjIwM1evM\nzEzIZDK1Y06ePKnqVq8dHrx69Sq6du2q88RSqXdj62xxbKUtttIOgG2xZ2+99RYWLFig9sPu1q1b\nCAgIAAAEBATg1q1bAIDs7Gx069ZNdVxQUBCysrJMW2Eisgk6A6ouXbogLS0N6enpCAwMxO7du7Fq\nlfq4ebt27XD48GE88MADyM3NxdWrV9G6dWvBE9tKt6GtdIHaSjsAtsVSmSIw3LdvH/z9/dG5c2cc\nPXpU4zESiURn77s+PfP2jnMS2R9ec2E6AyonJycsWbIEU6dOhUKhwLhx4xAaGootW7YAACZMmIAX\nXngBixYtwqhRo6BUKvHKK6/A19fXJJUnIqrr5MmTSExMRFJSEiorK1FcXIxXXnkF/v7+yMnJgVQq\nRXZ2Nvz8/ADU9MJnZmaq3q+pF14Tc/camvv80dHRRpfh6eUqQk2oPidHhyb5fohxzY1l7u+9EMHH\n8SIjIxEZGam2bcKECap/+/n5Ye3ateLXjIjIQPPmzcO8eTW/oFNSUvDFF1/gvffew7vvvovt27dj\n+vTp2LFjBwYNGgQAGDBgAObPn49JkyYhKysLaWlpiIiIEDyPOXsNzd1rKdb5S4orAHgYXyFSUy1X\nNNn3w5zfPUv43gvh/AZEZPOmT5+OOXPmYOvWrWjVqpXqaeSwsDAMHz4cUVFRcHR0RHR0NIf8iKhR\nGFARkU3q2bMnevbsCQDw9fXFxo0bNR43Y8YM1YM1pB/m09gfXnNhDKiIiMggvKnaH85DJYyz1xER\nEREZiQEVERERkZE45EdERAZhPo394TUXxoCKiIgMwpuq/WEOlTAO+REREREZiQEVERERkZE45EdE\nRAZhPo394TUXxoCKiIgMwpuq/WEOlTAO+REREREZiQEVERERkZE45EdERAZhPo394TUXxoCKiIgM\nwpuq/WEOlTAO+REREREZSTCgSk5OxrBhwzBkyBDExsZqPObo0aMYPXo0RowYgYkTJ4peSSIiIiJL\npnPITy6XY/ny5diwYQNkMhnGjRuHgQMHIjQ0VHVMYWEh/vvf/+Lzzz9HUFAQ8vLymrzSRERkPsyn\nsT+85sJ0BlSpqakICQlBcHAwACAqKgoJCQlqAdWuXbswZMgQBAUFAQD8/PyasLpERGRuvKnaH+ZQ\nCdM55JeVlYUWLVqoXstkMmRlZakdk5aWhtu3b2PixIl4/PHHsWPHjqapKREREZGF0tlDJZFIBAuo\nrq7G2bNnsXHjRpSVlWHChAm477770LZtW7HqSERERGTRdAZUMpkMGRkZqteZmZmQyWRqxwQFBaF5\n8+Zwc3ODm5sbevTogfPnzwsGVFKpd+NrbWFspS220g6AbSFqSsynsT+85sJ0BlRdunRBWloa0tPT\nERgYiN27d2PVqlVqxwwcOBDLly+HXC5HZWUlUlNTMXnyZMET28o4rK2MKdtKOwC2xVIxMLQdvKna\nH+ZQCdMZUDk5OWHJkiWYOnUqFAoFxo0bh9DQUGzZsgUAMGHCBISGhuKRRx7BqFGj4ODggPHjxyMs\nLMwklSciIqK7FA4eeD/mS6PKqKgox7+fexx+fv4i1co+CM6UHhkZicjISLVtEyZMUHs9depUTJ06\nVdyaERERkUGcfENxttC4MorzbyAvL48BlYG49AwRERmE+TT2h9dcGAMqIiIyCG+q9oc5VMK4lh8R\nERGRkRhQERERERmJQ35ERGQQ5tPYH15zYQyoiIjIILyp2h/mUAnjkB8RERGRkRhQERERERmJQ35E\nRGQQ5tPYH15zYQyoiIjIILyp2h/mUAnjkB8RERGRkRhQERERERmJQ35ERGQQ5tPYH15zYQyoiIjI\nILyp2h/mUAnjkB8RERGRkRhQERERERmJQ35ERGQQ5tPYH15zYf/f3t0HN1XmewD/trQilhRsm55U\nalcNo5bpLXphLnthMNBCeQkEq2Wm4+gIRSvj1UorMou1isNLh63b7Z25y0oWQdnd2Y5SXpyhjkrr\ntIPuCjhClze1irWRJsFCt6W8tE3P/aNLaGiSk/Qk5+Tl+/mH5uTJeX5PntOeHye/nEcyoWpubsaW\nLVswODiIgoICFBcXu23X0tKCwsJC1NTUIC8vL+CBEhFRaPjvWfPxzXffo3bP/lHvo+XkPwHNIwGM\nioKJNVTSvCZUDocDGzduxK5duyAIAgoKCpCbmwu9Xj+i3VtvvYXZs2dDFMWgBkxEROo69PkJnOm+\nS95OmExRhPFaQ9XS0oKMjAykp6cjPj4eRqMRDQ0NI9r9+c9/xoIFC5CUlBS0QImIiIhCldeEymaz\nIS0tzflYEATYbLYRbRoaGvDEE08AAGJiYoIQJhERhYoE2DE98bjaYZCCtm2rxptvvql2GCHN60d+\nviRHmzdvxtq1axETEwNRFH3+yE+r1fgWYRiIlLFEyjgAjoUomHqRKv8jPworrKGS5jWhEgQBHR0d\nzsdWqxWCILi0OXXqFEpLSwEAly5dQnNzM+Li4pCbm+u140iZlEg5wCJlHADHEqqYGBJRJPOaUGVl\nZaGtrQ0WiwWpqamor69HdXW1S5vhNVXr16/H3LlzJZMpIiIiokjitYYqLi4OFRUVWLVqFYxGIxYv\nXgy9Xo/a2lrU1tYqFSMRkc86Ojrw1FNPwWg0YsmSJdi9ezcAoKurCytXrsSCBQtQVFSE7u5u52u2\nb9+OvLw8LFy4EIcPH1Yr9LDBGqrowxoqaZL3oTIYDDAYDC7bCgsL3batrKwMTFRERKMUFxeHV199\nFZmZmejt7cVjjz2GWbNmoa6uDjNnzsSzzz4Ls9kMs9mMtWvXorW1FfX19Th48CBsNhtWrlyJjz/+\nGLGxXEjCE9ZQRR/WUEnjXwwiiiharRaZmZkAgISEBOj1ethsNjQ2NiI/Px8AkJ+fj0OHDgEYKlsw\nGo2Ij49Heno6MjIy0NLSolr8RBSemFARUcSyWCw4c+YMsrOz0dnZiZSUFABASkoKOjs7AQB2ux06\nnc75Gp1ON+L2MEREUphQEVFE6u3tRUlJCcrLyzF+/HiX52JiYrzeFob30/OONVTRhzVU0rg4MhFF\nnP7+fpSUlMBkMmHevHkAgOTkZFy4cAFarRZ2u925soMgCLBarc7Xurs9zK3UvgWE2v07bp+Er+1a\nVWOg4EpKSnA5zt544w0Voxmi9nEvhQkVEUUUURRRXl4OvV6PFStWOLfn5ORg3759KC4uxv79+52J\nVk5ODl5++WWsWLECNpsNbW1tyM7O9tqHmoW5ahcGa7UaXLvWr1r/pIyLF3tHHGdqHnuhcNxLYUJF\nRBHlq6++wocffogHHngAjz76KACgrKwMxcXFWLNmDerq6jBp0iTU1NQAACZPnoxFixbBaDRizJgx\neOONN/iRHxH5jQkVEUWU6dOn4+zZs26fe/fdd91uX716NVavXh3EqCLLUA2VHce6H1I7FFLItm1D\nN/V+/vkylSMJXUyoiIjIL7wPVfThfaik8Vt+RERERDIxoSIiIiKSiQkVERH5hfehij68D5U01lAR\nEZFfWEMVfVhDJY1XqIiIiIhkYkJFREREJBMTKiIi8gtrqKIPa6iksYaKiIj8whqq6MMaKmk+XaFq\nbm7GwoULkZeXB7PZPOL5Dz/8ECaTCUuXLkVhYaHHuxQTERERRSLJK1QOhwMbN27Erl27IAgCCgoK\nkJubC71e72xz9913469//Ss0Gg2am5vx+uuv4/333w9q4EREREShQvIKVUtLCzIyMpCeno74+HgY\njUY0NDS4tHn44Yeh0QytxDx16lRYrdbgREtERKpjDVX0YQ2VNMkrVDabDWlpac7HgiCgpaXFY/s9\ne/bAYDAEJjoiIgo5rKGKPqyhkiaZUMXExPi8s3/84x+oq6vD3/72N1lBEREREYUTyYRKEAR0dHQ4\nH1utVgiCMKLd2bNnUVFRgR07dmDChAmSHWu1Gj9DDV2RMpZIGQfAsRARkbIkE6qsrCy0tbXBYrEg\nNTUV9fX1qK6udmlz/vx5vPjii6iqqsKvfvUrnzqOlMuGkXIJNFLGAXAsoYqJYeQYqqGy41j3Q2qH\nQgrZtm3ovP/882UqRxK6JBOquLg4VFRUYNWqVRgcHERBQQH0ej1qa2sBAIWFhfjDH/6A7u5ubNiw\nwfmaPXv2BDVwIiJSB2uoog9rqKT5dGNPg8EwotC8sLDQ+fPmzZuxefPmwEZGREREiouNjcOB+kNI\nSj7hsj1h/Fj0Xr7u835mzfhP3D/5vkCHF7J4p3QiIiJyumOCgFNXBOCKu2cTfN7PmNivoyqh4lp+\nRETkF96HKvpMTzzOOZfAK1REROQX1lBFH34BQRqvUBERERHJxISKiIiISCYmVERE5BfWUEUf1lBJ\nYw0VERH5hTVU0Yc1VNJ4hYqIiIhIJl6hIiKKIpU1ZnRd9X3R+1uNvS0OHRevAhpeoSIajgkVEVEU\n6bwMXIzTj34H/cD0SccBHOfHQFHkRv0U59wzJlREROQXnlSjD+dcGmuoiIiIiGRiQkVEREQkExMq\nIiLyC+9JFH0459JYQ0VERH5hPU304ZxL4xUqIiIiIpkkE6rm5mYsXLgQeXl5MJvNbtts2rQJeXl5\nMJlMOH36dMCDJIpG06Zl4Z577lE7DCIi8oHXhMrhcGDjxo3YsWMHDh48iIMHD+L77793adPU1IS2\ntjZ88skn2LhxIzZs2BDMeImISGWsp4k+nHNpXmuoWlpakJGRgfT0dACA0WhEQ0MD9PqbN4VraGhA\nfn4+AGDq1Kno7u7GL7/8gpSUlCCG7d60aVkAgK++OhmU9hQagjVvoXo8hGpcFL1YTxN9OOfSvF6h\nstlsSEtLcz4WBAE2m82ljd1uh06ncz7W6XSwWq0BDXLatCznSSUceYvfn7GF4/ugdMxSH5P5G89o\n4pd6jZz3RK1jINKPUyIiubxeoYqJ8W29J1EU/XqdxXIY06YlOB+fP/8zAOCuuyY5f75haNthAEBa\nWpdzmzs32g3ftzee2g+PR0psLDA46L0/b3H5E7O7tv7E6nm/PwP4F+66S3ptLn/7k4p5NPF72ydw\nGECMl/5GHkuur711v97nx1380q/xdjzcGmsMANHZ3t9jXIr7+L2PSWrOPM3PwIAmIDETEYUirwmV\nIAjo6OhwPrZarRAEwaVNamqqyxUpd21udeMjxJuP73b7s7dt7vc71M5isTj7ufHz8L5vPu9+v972\nc2vsABAbe/NCn7t23vd3t9vXuovb23vj+5hvxuXtffA0dm9zITW+W2P2FL/Uvv09RuQcX+7m5+Zz\n6R7mz/v76evx4Ot8e+rHG1/nx1tc/hwjvv4OU3jgum7Rh3MuzWtClZWVhba2NlgsFqSmpqK+vh7V\n1dUubXJzc/GXv/wFRqMRx48fR2JiomT91I8/Ahcu9MgO3rMJ//63B9OmzXJ55ujRky7P+7ofT6/R\najUuY7nR31A/0nENb+e6bcK/t2V52d9N7l57k3R/3sfh2/s1/DXe3wep+N3xdc5Gzkmg3IjxZi1T\nj9vnpebefXvfji/pvvyfq9G28/8Y4RWqSMGTavThnEvzmlDFxcWhoqICq1atwuDgIAoKCqDX61Fb\nWwsAKCwshMFgQFNTE+bPn49x48ahsrJSkcB9pXQhr6/9uWsnJ1ap1/q779HEMvw10VhAreSY5fYV\niFijcY6JyHf/+tcl/PyzRbqhF4mJidBoEgMUUXBJ3indYDDAYDC4bCssLHR5/Prrrwc2KnIK5kkr\nlE6IoRSLJ4GOMRzGTEQ0Wp+fi8fn//uprH38R1o/ykuLAxRRcHHpGSLyiEkfucN6mugzmjm/4075\ntZNjbz8vex9KYUJFRBQm3qz6P2gmJOH69YFR76Pr6qDscjYmUtGHcy6NCRURUZhotQ4g3qGTbugN\nvxtAFBRcHJmIiIhIJiZURBT1fFkEnm7ium7Rh3MujR/5EVFUu7EI/K5duyAIAgoKCpCbm+uyZim5\nYj1N9FFrzr9r78JrVe/gttvi0Nc3utrBiXfEYO3/FAU4spGYUBFRVPNlEXi5vvn2W2w178Pt4+QV\nMMXckSbdiCiC9CdOwXkHgKuj38f1rtaAxeMNEyoiimruFoFvaWkJaB9Xr17B1dvuARK0svbDP9hE\noYu/n0QU1XxdBF6O+PjbIHZ9i8F+q3RjCWPiYuEYGAxAVKPvf9rd/QCAI+fGKN63mmMHgMHOf6rW\nt5rj/697HQCUn/Mb5Ix9YKyMy1t+UC2h0moj57u7kTKWSBkHwLGQ73xZBP5W/s7JHMMMzDHMGFV8\nFCLefU3tCCjE8Vt+RBTVhi8C39fXh/r6euTm5qodFhGFGX7kR0RRzdMi8ERE/ogRRVFUOwgiIiKi\ncMaP/IiIiIhkYkJFREREJBMTKiIiIiKZFE2ownm9rI6ODjz11FMwGo1YsmQJdu/eDQDo6urCypUr\nsWDBAhQVFaG7u1vlSH3ncDjw6KOPYvXq1QDCdyzd3d0oKSnBokWLsHjxYpw4cSIsx7J9+3YYjUYs\nXboUL7/8Mvr6+sJmHOvXr8fMmTOxdOlS5zZvsW/fvh15eXlYuHAhDh8+rEbIAbFz5048+OCD6Orq\nUrTfmpoamEwmLFu2DE8//bTLbR+CbevWrVi0aBFMJhNeeOEF9PT0KNY3AHz00UcwGo3IzMzEqVOn\nFOtXzfOXu98vpXg69ynl+vXrWL58OZYtW4bFixfjd7/7naL9AyPPlR6JChkYGBDnzZsntre3i319\nfaLJZBJbW1uV6l42u90unj59WhRFUbx8+bKYl5cntra2ilu3bhXNZrMoiqK4fft2saqqSs0w/bJz\n506xrKxMfO6550RRFMN2LOvWrRM/+OADURRFsb+/X+zu7g67sbS3t4s5OTni9evXRVEUxZdeeknc\nu3dv2Izj6NGj4qlTp8QlS5Y4t3mK/bvvvhNNJpPY19cntre3i/PmzRMdDocqcctx/vx5saioSJw7\nd6546dIlRfvu6elx/rx7927x1VdfVazvw4cPO+erqqpK8WOytbVV/OGHH8Qnn3xSPHnypCJ9qn3+\ncvf7pRRP5z4lXblyRRTFob/vy5cvF48ePapo/7eeKz1R7ArV8PWy4uPjnetlhQutVovMzEwAQEJC\nAvR6PWw2GxobG5Gfnw8AyM/Px6FDh9QM02dWqxVNTU1Yvny5c1s4jqWnpwfHjh1DQUEBgKGvwGs0\nmrAby/jx4xEXF4erV69iYGAA165dQ2pqatiMY/r06UhMTHTZ5in2hoYGGI1GxMfHIz09HRkZGQFf\n6kUJlZWVeOWVV1Tpe/z48c6fr1y5gjvvvFOxvmfNmoXY2KFTx9SpU2G1yr/7uz/0ej3uvfdeRftU\n+/zl7vdLKe7OfXa7XdEYxo0bBwDo7++Hw+HAxIkTFevb3bnSE8USKnfrZdlsNqW6DyiLxYIzZ84g\nOzsbnZ2dSElJAQCkpKSgs7NT5eh8s2XLFqxbt875hxFAWI7FYrEgKSkJ69evR35+Pl577TVcuXIl\n7MYyceJEFBUVYc6cOZg9ezY0Gg1mzZoVduMYzlPsdrsdOp3O2U6n04Xd34JDhw5Bp9PhwQcfVC2G\n3//+95gzZw727duH4uJiVWKoq6uDwWBQpW8lRdL5S47h5z4lDQ4OYtmyZZg5cyZmzJiByZMnK9a3\nu3OlJ4rd2FOJ9bKU0Nvbi5KSEpSXl7v8LxEYGmM4jPOzzz5DcnIypkyZgi+//NJtm3AZy8DAAE6f\nPo2KigpkZ2dj8+bNI+obwmEsP/30E9577z00NjZCo9HgpZdewoEDB1zahMM4PJGKPRTHtXLlSvzy\nyy8jtq9ZswZmsxk7d+50bhODcDs/T/2XlpYiJycHpaWlKC0thdlsRmVlJSorKxXrGwD++Mc/Ij4+\nPih1Pb70r6RQPD6VNvzcl5CQoGjfsbGxOHDgAHp6erBq1Sp8+eWXmDEj+Es5+XKuHE6xhGo062WF\nmv7+fpSUlMBkMmHevHkAgOTkZFy4cAFarRZ2ux1JSUkqRynt66+/RmNjI5qamtDX14fLly/jlVde\nCcux6HQ6CILg/B/TggULYDabkZKSElZjOXnyJB5++GHnRzfz58/H8ePHw24cw3k6ngRBcPmYKFT/\nFuzatcvt9m+//RYWiwUmkwnA0NWLxx9/HB988AGSk5OD3v+tlixZEvArVFJ97927F01NTXjvvfcC\n2q+v/SstEs5fcrg796lBo9HAYDDg5MmTiiRU7s6V69atw29/+1u37RX7yC/c18sSRRHl5eXQ6/VY\nsWKFc3tOTg727dsHANi/f7+qB5uvysrK0NTUhMbGRlRXV+PXv/41qqqqwnIsWq0WaWlpOHfuHADg\n73//OyZPnoy5c+eG1Vjuu+8+nDhxAteuXYMoimE7juE8HU85OTk4ePAg+vr60N7ejra2NsU/QpDj\n/vvvxxdffIHGxkY0NjZCEATs3bs3oMmUlB9//NH5c0NDg7PGRQnNzc145513sG3bNowdO1axft0J\nxpVBd8L9/CWHp3OfUi5evOj8hvC1a9fwxRdfYMqUKYr07e5c6SmZAhReeqapqQlbtmxxrpf1tpgP\nzwAAAWRJREFU3HPPKdW1bMeOHcOTTz6JBx54wHn5t6ysDNnZ2VizZg06OjowadIk1NTUqFY8OBpH\njhzBzp078fbbb6Orqyssx3L27FmUl5ejv78fGRkZqKyshMPhCLux/OlPf8L+/fsRGxuLKVOmYNOm\nTejt7Q2LcZSVleHIkSPo6upCcnIySkpKkJub6zH2t99+G3V1dRgzZgzKy8sxe/ZslUcwerm5uair\nq1O0ULakpATnzp1DbGwsMjIysGHDBsUSury8PPT392PChAkAgIceeggbNmxQpG8A+PTTT7Fp0yZc\nunQJGo0GmZmZ2LFjR9D7VfP85e736/HHH1ekb0/nvkceeUSR/r/55hv85je/weDgoLOW6plnnlGk\n7+GGnys94Vp+RERERDLxTulEREREMjGhIiIiIpKJCRURERGRTEyoiIiIiGRiQkVEREQkExMqIiIi\nIpmYUBERERHJxISKiIiISKb/BzywfzgI27fdAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x51595d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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NOW4WWN+KiIhIKKsOrvSxrklBSFLg0xYJmZ39RsdCyOagK43K6q4bIiJqkax6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\nIiKSEYsrIiIiIhn9P0qakua3Ooo1AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x45daa50>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#PyMC3 Version"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pymc3 as pm # fork of pymc-devs/pymc master from https://github.com/aflaxman/pymc\n",
"import numpy as np\n",
"\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class StandardNormal(object):\n",
" def __init__(self, var):\n",
" self.var = var.name\n",
"\n",
" def step(self, point):\n",
" new = point.copy()\n",
" new[self.var] = np.random.normal()\n",
"\n",
" return new\n",
"\n",
"with pm.Model() as model:\n",
" A = pm.Flat('A')\n",
" B = pm.Normal('B', mu=20+A, sd=10)\n",
"\n",
" step_A = StandardNormal(var=A)\n",
" step_B = pm.step_methods.Metropolis(vars=[B])\n",
" \n",
"\n",
" trace = pm.sample(5000, [step_A, step_B])\n",
"\n",
"pm.traceplot(trace[100:])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------46% ] 2317 of 5000 complete in 0.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------93%--------------- ] 4662 of 5000 complete in 1.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------100%-----------------] 5000 of 5000 complete in 1.1 sec"
]
},
{
"metadata": {},
"output_type": "pyout",
"png": 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sNIHLYQW1CTynf3/fDGWuEBqdBfm5Am97mVTo/f9iaxe4nJ5zszvcaGo3QsDj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\nutRjPf6MR7H0PMcipH+8Q/rHO6R/vEP6J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"prompt_number": 8,
"text": [
"<matplotlib.figure.Figure at 0x4cbe2d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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sNIHLYQW1CTynf3/fDGWuEBqdBfm5Am97mVTo/f9iaxe4nJ5zszvcaGo3QsDj\nQCHjQyzghpxT33lqbjeFTAbRpjFEvQc8nKzXQiK8dCw+G+gQcf2O+d3R8GOdOd8Jg9GG0w3Onu+v\nxQGqd271XWbvGC6H0xszF+kZmaznUdJirBiGAYfDAZ/Px69//Wv87ne/C9u2rKwMjY2NaGlpgcPh\nwI4dOzB9+nS/Nk1NTV7To8cXXi6Xx9SXQEgWeqMdb31yHBw2hf+aVwYhP/uL/yYDZa4Qj9w+EWIB\nB+/uPEkKCBP6Jb4ugKH+EoVhGDz55JMoKSnBf/zHfyQucC/hah+dbNTj4Kn2uF2QGIaBRmfpc9xB\ne5c1+JgpMNq3as0hlapYaAiR2t2TMc9id/bEbV3sidu62Gn2y54Wya3N0ceaXF0mu1epAnqSlUR0\nhwwjxPFGHbpD1IWKhMnqRP2F7pjStfu2YBgGR851hlSqoqE32aEzRJezrbPHxcxsc/rFNnmtEHH4\nb8biONLaq5C6YnAp7Axwce002GAwO9Ck6VmMm8NkxHW5adRf7PY71gWtGQ6nG9+fCXa5TXZts8Dx\ndEYbTjXr0WW2o8sU+lh6n/fP9xZ7vtCb9jwW98vOJJReuaA1BSWdoRkm5npcoRKMhLp7UpGIJBIJ\nrRI/++wz/P3vf0dHRwcWL16MHTt2QCwWw+VyYdasWWEr23M4HKxevRrLli0DTdOoqqpCSUkJNm3a\nBACorq7G559/ju3bt4PD4UAkEuHFF1+M2JdASDY0w+DtmuMwWZ24c+YIDB5A3Kx8GaSU4KHbJuIP\nG3/AX7cfw3/PZ2HicFJ0ldB/8HUBDMXUqVMTGv/QoUP4+OOPMXLkSMybNw8A8PDDD+NnP/tZQuMe\nO6/zy1DmwRPf4HCGzr4VDr3B7k1T3BfOXexGl1TQ5/4erHYXuBxWRjKKdhnt6OiyhoyxOXQ6eGPI\n7nTjVFMXLPaeRZ7TRWPMEIVfm8BsbDqDDecuGjBuWF7UmLLABaDLHV6haO+yQhhHpshjDTowYCAR\ncWPOXOty03A46bgKtQZitETv26ozY/AAaVAcjic7Js0wIZNcpKMcwZkLXX6vGaZHsQUAqYgXFKfm\nUQIPhthYbG43BqWq900qQ9MMDBYHcsQ8UBQFu9Md8rxjiceMlHUvMNbNR3jvv4GJX7qMkRW/C1pz\nzGUZouFRRj00tBpijoO7JEPsuzxumgabldrfn4QUq61bt2L58uW44YYb/EzJHA4HTz75ZMS+U6dO\nDXqoVVfZopn6AAAgAElEQVRXe/9fvnw5li9fHnNfAiHZ7D7UguPn9RhfkodpVw3KtDj9kmEDZXhw\n4Xj8+cPDePWjI1hROQ4TSolyRegfpNIFEOhxUz958mTM7d1uGrooboAeTjXpofexVPgXpmVA0wxY\noXIvh8ARY9HfSETbZY+W8pmmGW89Ko/SaLW7/NzCUkm8iSw6u21epQroKawaaLULzNh29kI3aIYJ\nm4EP6FGSDGZH0FIwcIHZV0416cH0qm2d3baYFatQykGq8NRnCkejxl8hOXuhO6SCYLI6wyoVeqMd\nfG5iC+gmH8UonqyW4fDVXw6d7oCbplGYL0GhSoIzzV19qneWCQIVRl8STTKpj8HqGYjF7gQrxrh3\no8XpdcdNFQkpVm+88UaQby7DMKAoirjnEbKaC1ozNn9VD4mQi6U3j8posor+zshiOR6omoCXvMrV\neIwvCR9oTyBkAqPRiIaGBtjtlx7cV199dVplOHwm9lTqvkoVzTB+O9ee3f5QVq1QNEVYCNEME1Nh\nTmegK2DAAiqUtcLXrYsJ6GC1u3C4XguxILbsjIGL7XhxRCmcGgtHG8K7KcZq6Ul2dr5AfO8bQwwu\nZ11GOxSyxK2RAGLO4BcpLXwowlpdAJxqDD1WuGN0h4mvikYofaFNZ4krs51vMWfPXHnqMcUyzvFG\nHSaUpH7j8mKEtPjRiLWmVjhicdkMhUfBNlgc2H+8DSJ+6N+VdKzkElLn77jjDnR3X/qR0Ov1WLx4\nccJCEQiZxOWmsfaT43C6aPxy9ijkpHh343Jg9GA57q8aD4qi8MrWI6iLo14GgZBqduzYgVtuuQV3\n3XUXnnrqKdx11114/vnn0y5HsmMrbA4XDp5sR1cUC0A4DpzQ4Og5XZ8WUr6JK4BgNyoAEXfgPRaA\nRFzP4iFexSyUZTFW96dQQf3JJDA9eSJGgtMtwdetryQj7iZeYkn/nQxCWWnsTndQWvK+EE9cWbLq\nR0YaJZHvZDLvp0TwtTanm4QUK4vFgpycS0VS5XI5zObU+8ESCKlk+74GNGqMuGFcASaPvPLqVfWV\nMUMUuH/BeFAU8MrWOtTVJ17olEBIBq+//jq2bNmCIUOG4PPPP8fatWsjZq7NFn48q4WLpvvsRkYz\nTMoXIKFkO35eB2sGC3jGQqwB9OnAYnNB66O0BMbLnWhMrN5XMtzc+gOtaYjDSgUnGvXBFuEwJFI0\nt7+TJJ0xMmnwPkpIsaJpGhbLJW3dbDbD5YrtC7p3717Mnj0bs2bNwptvvhn0+ccff4y5c+eioqIC\n1dXVfn7s06ZNQ0VFBebNm4eqqqpEToFA8ON0cxd2fNOI/BwBFs0Ynmlxso6xQxV4oGo8WL2Wqx/P\nEuWKkHk4HA7y8/Ph7nXFmTJlCo4cOZKUsZ944glcf/31qKioSMp42UFiKyCDxRExToPgj9Xh6nOy\ngBON+qCivIEcvkw2wU7HUYS6PxGLy2bSYYDWTjN0GbAyhsMSJutitpFQjNUtt9yCu+++G4sWLQLD\nMNi0aVNMDxe32401a9Zg3bp1UKvVqKqqwvTp0/2y+xUVFeH999+HVCrF3r178fTTT+ODDz7wfr5h\nwwbk5uYmIj6B4IfF5sJbnxwHKGB5xRiSWr2PjBmiwAMLJ+ClzYfx6tYjyMkRYqgyctFUAiGV8Pl8\n0DSN4uJibNiwAQMHDoTVGlvmqWgsWLAAS5Yswa9//eukjJcNxLq7Tsg83WY7Dp0OTvlNuLLxtXrK\nRLwILQnxkpDF6t5778Xtt9+O3bt348svv0R1dTXuvffeqP3q6upQXFyMwsJCcLlczJkzB7t37/Zr\nM2nSJEilPemtJ0yYgLa2Nr/Pk+VnSiB4+NsXp9BpsKHi+iEYXkiU9kQYPViOhxZOAJtN4Xfvfoej\nl7H7AqH/88ADD8BkMuHRRx/Frl278Oqrr+KZZ55Jytjl5eWQyWRJGYtAIBCuVNKRIywdySsS3pKf\nP38+5s+fH1cfjUaDgoIC72u1Wo26urqw7Tdv3uyXXp2iKCxduhQsFgvV1dW47bbb4hecQPBh/7E2\n7D+mwbCBMlRMGZJpcS4LRhbLcf+C8Xh5cx3+svUIHqwaj9EBdWAIhHQwadIkCAQCyGQyvPfee5kW\nh0AgEPoNGXFFDEG6EtmkmoQUK61Wiw0bNqC5udkbW0VRFF566aWI/eJJXb1//35s2bIFGzdu9L63\nceNGqFQq6HQ6LF26FMOGDUN5eXnEcZTK7CvuSmROPUqlFK1aM/72xWkI+Wz85pfXYEB+/3Zby6Y5\nnqqUQiIV4Ll3DuDlrUfwP8uvw9hh2ZGKPZvm2UM2ypwObrzxRkyfPh3z58+P+qxINTKpMKPH7++Q\n+YkMmZ/IkPmJzJU+P3l5EuRK+3Edq5UrV6K0tBTXX389WL2VjGNRmtRqNVpbW72v29raoFarg9qd\nPHkSq1evxtq1a/2yD6pUKgCAQqHAzJkzUVdXF/Vh2dGRXYGySqWUyJxilEopLlzswvMbDsFic+E/\nbxkNDkP363PItjkGgMmj1PiveWPx2kdH8f/W7scTi6/CIKUk02JFJBvnOVtlTgc7d+7Ep59+iuef\nfx4mkwmVlZWYN28eBgyIrQ5UMjEYkxPbdTkikwrJ/ESAzE9kyPxEhswP0KkzwWkLbaFL1vMooRgr\no9GINWvWoKqqCpWVlaisrIzJLbCsrAyNjY1oaWmBw+HAjh07ggoKX7x4EStXrsQf/vAHDB482Pu+\n1WqFydRTI8JisWDfvn0YMWJEIqdBuIL5+67TaGo3YerEgbi+rCB6B0KfmDRciaW/GAWL3YUXPzjc\nrzIRES5/5HI5lixZgq1bt+Ivf/kLGhsbSRF7AoFAICSdhCxWw4cPh0ajCWltinhQDgerV6/GsmXL\nQNM0qqqqUFJSgk2bNgEAqqur8eqrr8JgMODZZ5/19tm8eTO0Wi1WrFgBoCe7YEVFBW644YZEToNw\nhbL7uybsPdyKYrUEd5DU6inn+rIC6I12bKk9hz9/eBhP3HkVRILQ1dEJhGRD0zS++uorbNu2Dd99\n913cscHhePjhh3HgwAF0dXVh6tSpuP/++7FgwYKkjE0gEAiE7IJiEkivd/fdd+Po0aO46qqrwOP1\npGuMJcYqE2SjiwyROXU0aYx4/m/fg82i8Mx/lEMlF2VapJjIpjn24CszwzB4/4vT2PP9BYwqzsXD\nt08Eh52Q4TwlZPs8ZwvpcgX83e9+h5qaGgwfPhzz58/HrFmzIBAI0nJsX2q/b7niXXEiQVyVIkPm\nJzJkfiJD5gcYO0QBaZj08sl6HiVcx+qWW27xey+exBQEQiboNtnx8pY6OJxurKwclzVK1eUARVG4\nY8YI6I12/HBGi3/sPos7ZxFXXkJqycnJwYcffuiXjZZAIBAIVxbpqNSUkGJVWVmZLDkIhLTgdLnx\nytYj0BnsWHLzaEwaocy0SFccLBaF5RVj8NsNh7D7+xYUqyX46YSBmRaLcBnzq1/9KtMiEAgEAiHD\nGC0OyMSpLYickA9OQ0MDFi1ahGnTpgEAjh07hr/85S9JEYxASDYMw2DdzpOov2jAT8aqsXA6iavK\nFAIeBysrx0Es4GDDP0+h/kJ3pkUiEAgEAoFwGZMGg1ViitWzzz6L++67D1Jpj1/iqFGjsHPnzpj6\n7t27F7Nnz8asWbPw5ptvBn3+8ccfY+7cuaioqEB1dTVOnjwZc18CIRSffn3eWwR46c2jiNtqhlHJ\nRbhvXhncNINXPjqCLpM90yIRCHFDnkcEAoFA8JBwuvWpU6d6F6hsNhtcbvQsX263G2vWrMHatWtR\nU1ODmpoa1NfX+7UpKirC+++/j08++QS/+tWv8PTTT8fcl0AI5N9HWvHRvxqQJ+NjZeU4cDnsTItE\nQE8g6W03laLb5MAb24/BTdOZFolAiBnyPCIQCITsIR3b6QkpVhwOBw7HpUJbGo0GbHb0BWtdXR2K\ni4tRWFgILpeLOXPmYPfu3X5tJk2a5LWETZgwAW1tbTH3JRB8OdrQiXd3noRYwMFDt01EjiS1VbcJ\n8THr6iJMHqHEqeYubN/XkGlxCJchWq0Wjz76KO644w4APcXnN27cmPC45HlEIBAIBF8SUqwWLVqE\nlStXQq/X4+WXX8aiRYuwdOnSqP00Go1fdia1Wg2NRhO2/ebNmzF16tQ+9SVc2TS2GfHqR0dBURRW\nLhiPgfniTItECICiKCz9xSgocwX49OtG1NV3ZlokwmXGU089hauuugpGY086+mHDhuHvf/97wuOS\n5xGBQCAQfEkoK+D8+fNRVFSEPXv2wGaz4fe//z3Ky8uj9osntmX//v3YsmWLd3exr3Ex6aqXkkyI\nzInR1mn2plX/9V1XY8r44Mxz/UneWLlcZV619Fo89vK/8HbNCbz08I1QyoVpkCw8l+s8X4m0t7fj\njjvuwAcffAAA4PF4SYmx7MsYMmlm7+v+DpmfyJD5iQyZn8hc6fOjUIhT/pxMSLECgPLy8piUKV/U\najVaW1u9r9va2qBWq4PanTx5EqtXr8batWuRk5MTV99AsrFwJpG57xgsDvxuwyHojXYsmjEcIwqC\nZetP8sbK5SxzDp+NRTOGY8Pnp/D8u9/i13dMApuVmeLBl/M89yfSpQiy2WwwPgVMDAZDUsbty/Po\nSi/QGQlSwDQyZH4iQ+YnMmR+AL2eAyE79IZYvygQvGDBgqD3KIrC5s2bI/YrKytDY2MjWlpaoFKp\nsGPHDrz44ot+bS5evIiVK1fiD3/4AwYPHhxXX8KVjd3hxksf1kGjt+LmnxRjZnlRpkUixMiNEwfi\nZKMe351sx/Z9Daj8WUmmRSJcBsycORPPPPMMTCYTtm7divfffz8pdRjJ84hAIBAIviSkWD3++OPe\n/+12O2pqaqBSqaIflMPB6tWrsWzZMtA0jaqqKpSUlGDTpk0AgOrqarz66qswGAx49tlnvX02b94c\nti+BAAAuN43Xtx9FQ6sB15cNQNVUcm9kExRF4ZezR+F8mwE1XzdiZLEcY4coMi0WIcu55557sH37\ndnR3d6O2thZ33XUXbr311oTHJc8jAoFAyB7SUWWHYnz9IxKEYRgsWrTIqyD1J7LRRYbIHB8Mw+Dd\nnSfxr7pWlA1V4P6q8eCww7uSZVrevnClyNzQasDzGw5BLOTif+6+BjkprpQeyJUyz5nmSosJq/2+\n5Yp3xYkEcVWKDJmfyJD5iQyZH2CwWoqCvNBJzPqFK2AgRqMRWq02mUMSCDHzyb/P4191rRisluJX\n88siKlWE/s3QAhmqbizBP/acxVufHMPDt00Ei0UKOhPi44UXXgh6j6IoMAwDiqL8vC4IBAKBQEiU\npMVYMQyD5ubmmNKtEwjJ5l91F7FtXwPycwR4cOF4CHhJ3TMgZIBZVxfhZKMeh+s78enX5zH3hqGZ\nFomQZYhEIm/mvkDnjGRkBSQQCAQCwZekxVix2WwUFRXFlKGPQEgmR8914r2dp3oLAE8gBYAvEyiK\nwrJbxuB/1h3A9n0NKC3MwRgSb0WIg5UrV2ZaBAKBQCD0E9KxoZaQr9S1117r/SsvL49Lqdq7dy9m\nz56NWbNm4c033wz6vL6+HrfffjvGjRuHd955x++zadOmoaKiAvPmzUNVVVUip0DIchrbjHh121Gw\nWBTurxof1neWkJ1IhFzcN68MLBaFNz8+hi6TPdMiEbIQk8mEF154AZWVlaisrMTvf/97mEymhMbc\nuXMn5syZg9GjR+PYsWNJkpRAIBAI2UxCFquf/OQnXn/1QCiKwjfffBOyn9vtxpo1a7Bu3Tqo1WpU\nVVVh+vTpftmU5HI5nnrqKezatSvkGBs2bEBubm4i4hOynM5uG/5v82E4HG7817wyDC8k98PlSMnA\nHCy8qRSbdp/BG9uP4dFFEzNW34qQnaxatQoSiQRPPfUUGIbB1q1bsWrVKrz88st9HnPEiBF45ZVX\n8PTTTydRUgKBQCBkMwkpVtXV1eju7sbtt98OhmGwefNmyGSykPWtfKmrq0NxcTEKCwsBAHPmzMHu\n3bv9FCuFQgGFQoHa2tqQYyQxmSEhC7HYnPjzh4fRbXKgevpwlI+KnuafkL3MLC/EmeYuHDrdgQ+/\nrEf19OGZFomQRZw5cwY7d+70vp48eTJuvvnmhMYkadUJBAKBEEhC27579+7FM888g1GjRmH06NFY\nvXo1amtrUVhY6FWaQqHRaFBQUOB9rVarodFoYj4uRVFYunQpKisr8cEHHyRyCoQsxOly45WtR3BR\na8bM8iLMupoUAL7coSgKd88ZjYI8Ef75XTP2H2vLtEiELEKlUkGn03lf63Q6Eg9MAABw2exMi0Ag\npISyoXkpPwaXZF8OIiGLlclkgk6ng0LRE1Cu0+lgNpuj9ks0eGzjxo3eB+XSpUsxbNgwlJeXJzQm\nITugaQZvfnIcJ5u6MHmkErdPK820SIQ0IeRzsKJyHJ5bfxDv7jyJgfliFKuvrDpIhL6Rm5uLuXPn\nYtq0aWAYBl999RXKy8vxwgsvREy7vnTp0pAlRB566CFMmzYt1WKHJUfEQ7fFkbHjR4PDYsFF05kW\nA2IBF2abM2IbqYgLndGdJokuPyQCLkxR5phw+UKyqwaTkGL1y1/+ErfeeituuukmMAyD2tpa3Hvv\nvVH7qdVqtLa2el+3tbXFtXuoUvW4fSkUCsycORN1dXVRFatsLERJZPaHYRi8vqUOh051YFxJPlYt\nvRY8bmK7jWSO00OyZFYqpXj0znKseedbvLbtKF58cGrKskBeyfN8uVFaWorS0kubMLfddptfPatw\nrFu3LumyyKTChMeYOFKFH061J0Ga1MDlsOB09U2xSsb8eMjLEaCz2xaxjVwuhAuxLw7VChE0Okui\novWZZM5PMpDL+GAZ+k9Sof42P5kkL08Cmdb/Xk32/BTki9GqjWxQkYi4MFn6h/KtUIihVEpSeoyE\nFKs777wTkydPxoEDB0BRFBYvXoyRI0dG7VdWVobGxka0tLRApVJhx44dePHFF0O2DYylslqtcLvd\nkEgksFgs2LdvH1asWBH1mB0dxthOqp+gVEqJzAFs39eAnd+cR5FKgnsrxqC7K7GHG5nj9JBsmYeq\nxJh3w1Bs29eAZ9/6Bo9VTwSXk1x3HjLP6SFdimCq067HE/NrMFoTOtaEknzYLfaEx0klXDYLTnf8\nipVMKkzqeQ0vkEDIFuJ4oy5sGx4V3zXhsxK/hn0l2vzky4TQGW2g0xiDTtE0DOb+oVglev8MzBND\nIRPgaENnEqXKHJ2dJr/5SPb3CwAkPFbUMV0OFyz29ChWYwYrIn7fdToueAj9/UjW8yjhKqqFhYVw\nuVwoKysDgKg7gADA4XCwevVqLFu2DDRNo6qqCiUlJdi0aROAnqQYHR0dqKqqgslkAovFwvr161FT\nUwOdTudVpNxuNyoqKnDDDTckehqEfs7nB5qwvbcA8EO3TYBIQAoAX8ncMmUILnaaceBEO96uOYF7\n5o4Fi7gkEMJgtVrx6aefoqmpCS6XCwAiugDGwhdffIHnnnsOer0e9957L0aPHo21a9cmS+SUwKKo\ntCy6+8N3USLggsthR910UeYKoDX0XyU1HkoLc3DgRGQLHSE8xLU8fvpbHjkuJ/MxXwmtTmtra/H0\n00+DxWLhyy+/RF1dHV577TX89a9/jdp36tSpmDp1qt971dXV3v+VSmXIjIBisRjbt29PRGxClvHF\nwWb8Y89ZyKV8PFI9EbmkAPAVD4uisGzOaOiMdhw40Q5lrhALppIsbYTQrFixAmw2G2PHjgWfz49p\nAzAaM2fOxMyZM5MkYfIYPywPdedC77gnQ7EarJaiURPZMqqUC9HSkVidsGSiloug0Qd7OIgF3LQW\nlOeyWaAoCg5X8mO6OAElKKQiHoz9OA4vEyikAuiM2a94FijEaNVFz2eQDrrNyb/HipQSNPej3494\nSUixeumll/Dhhx/innvuAQCMHz8eTU1NSRGMQACAPd+3YOOuM8iR8PDYoklQy0WZFonQT+By2FhZ\nOQ6/3XAINd80Ij9HgKkTB2VaLEI/pK2tDTU1NZkWI+WIBVyIBNywnxepJGhoM8Q9bpFKiub22N1M\n2azUWKxYFIUilSSqYheIRMiFRh/8fl+kFAk4QHcfOqLHSpqquQlExOekRbHKtG0yMHkGBQpMGFev\nZBJtk0Im4sGQovkX8vtPJkuRgBPRzU8i4ILDZsESh7fooCxXrBK2mXkSSXjgcsP/qBMI8fDFwWb8\n7Z+nIRPz8PiiSRigIEoVwR+piIeHFk6ARMjF+s9P4eDJ/hvQT8gcJSUlcZX0yHYEvOA9UxGfA7m0\nb9aZHDEvUZEiEmhtCcegfDEK8sQoSlLwebzL79HFcoiFwWucWOVPhxKS7ixtrDQpiuEYmC/2ez2q\nODfhMWNJwS+OsIEBpNYlrb943wl4nKjCyGUChLolqYyr5KkjoSsvkUjQ0dHhff3tt99CJpMlLBTh\nyoZhGGypre+xVIl5eKx6IgryxNE7Eq5I1AoRHrptAnhcNt74+BiOhnGDIly5/Pd//zcWLlyI++67\nD/fffz/uv/9+PPDAA5kWy0uOOLLCo8yNL5PXhJK8IOVKIRP4vY6nfpPvwigVC/fyUSoMGRB67SDg\nXjoPde/m2qBYFCsq5L9+xOsVKeRzgsbKFfNx1Uil93W0uj75OYKInweikMbXPt1IhFxvTF2xKrYY\npWEDc5J2fDabBb5PHB2f1zdrjm9c4JABscdaifhcSKIoWaG4HDaKE6lhVayWYGCeGGMGK5IoUXTS\noc4lpFg98sgjuOeee3DhwgUsXrwYjzzySELBwASCm6bx7s6TqPmmESq5EKuWTI7tIUq4ohlaIMMD\nC8aDoii8svUITjd3ZVokQj/iiSeewIwZMzBjxgzceOON3r90kyMJbfkpyBNhzGBFWOXCd3HN7y0x\nIfGxnHje8ygKsSg/MnHqvEv6EsYl5IeOTODz2JCKeGBRFDhJL0YaXdAxQy4t/ELuvFP+i7XRg+UR\njxbP80wqimwpHDJAhpwobVIJh8VCQZ4Ik4YrUTY0z3sfRkOVK8S1o9UQhbnm8TIgL3ElJd5iukML\npBDxuSgdlNOnNQqHzcKoYrnf/eXL1aNU4ZWO/mKyotBnt0uKolCslkIWxhouDGF1zxb6/CtF0zT4\nfD7ee+89/PGPf8Ty5cuxY8cOjBs3Lqb+e/fuxezZszFr1iy8+eabQZ/X19fj9ttvx7hx4/DOO+/E\n1ZeQnVhsLvxlyxH8q64VgwdIsWrx5Lh3aglXLqMGy/Gr+WVw0wxe2nwY9Rf6GAhBuOxwOp14+umn\nUVVVhcrKSlRWVmL+/PkJjfnCCy/g5ptvxty5c7FixQoYjdHjfiaOUIX9TCbmxeSq53G98l3Ah3RL\n6l3vsCgKbBYLyhz/39JhA/vmXRLKLTBWV7i+IOCxMXaIAlePCj93fWVQfvCCeEShvyuZzEdxiUVh\nTcQFLNQ5epSPUAtNVa4wKKYunQ5WuRI+KIoCl8PyU/RjgaIolA6Kz21PlSsK6ULmq8hHUuoVstDf\nr8kjVHFnGhYJuBhfkpdQhuJcCd/v/vKFzWIFKR2eDZb+lMAr2iaKME4L4vhhPQpukSq6suo7d0Ie\nBwWKYM+mq4YrMalUGfR+KunzLwCLxcJjjz0GmUzmzfAXqxug2+3GmjVrsHbtWtTU1KCmpgb19fV+\nbeRyOZ566incfffdcfclZB+tnWasWX8QdfWdKBuqwOOLJoXdySAQwjGxNB/LK8bA7qDxp3/8iDMt\nxHJFACZOnIiTJ08mdcwbbrgBNTU1+PjjjzFkyBC88cYbCY/J57JRPjI2BYLNYmHMEAUmluZHbJcn\nE+DqUSrweWxwOSyIBVwUKSVgx6EM+bpJhbIsqeRCjC72t9QMjjF1tcedKJRCUKySehdYCbkghugq\n4HJCLrQDXSaBnt+V0cVycNisICU20sJyZFF461UgfA475DUZmC9GycAcP/c0j2UoFeFUUmHk5+7A\nPHHS4mMEIZIwRLLAyURcXDtG7feeRMgJazPxVZJVuSLk52T3Ru2IolxcO1rdZ3fHUESLFYtIFKVq\nRGEuFDJBUBxcJDwbBQqZIMhilxfw3fSVfUJpPgaHcOHkcdlJna9YSGibafDgwWhubo67X11dHYqL\ni1FYWAgul4s5c+Zg9+7dfm0UCgXGjRsXlAwjlr6E7OLHM1o8t/4gNDoLZl9bjAcXTgjrFkIgROOa\n0Wrcd+tYOF00XvzHYZxqCpEOjHBFcfjwYVRVVaGiogILFizAggULUFVVldCYU6ZMAat3ITxhwgS0\ntbXF1M+zcAy3Ux3K3S1cAWKZiAcBj+PNNOebcS6Uiw5FURg3LC+k61KRSuq34+u7wBbyOShWSSO6\nS+VI+F7rCo/LClnLKtTO8fiS8IrhwHxxRPc/X0tZYJyLryIWKMvVo1SYODw/qrLmmQMBj+NNy85i\nUREtdL6XSi7lQ5Ub3U1t+KBcjCsJMbdMz/GUuUKwfeZhQmk+Jo9QRZTfV4644rRi0Jn6slANtAQC\nPdfFVwG/argSoyK4Ugae75jBiogbBL6JNSJZaCPdBqHu42gKWjhlpTCEhTRWeByPMp1cbbqkd16G\nDJBhzBAFinzi5GKJAytWSyAV8jC0IHh+PZsUUhEvrphOD4Gb64HXkMWiUKyS9rs4xIRWryaTCXPn\nzsXkyZMhEvVcAIqi8NJLL0Xsp9FoUFBQ4H2tVqtRV1cX0zET6UvoX7jcNLbU1uPzA83gcli4p2IM\nfjJ2QKbFIlwGlI/qWXT8dftR/PnDw1hROS5uH3rC5cOTTz6Z0vG3bNmCOXPmxNR21GA5XG4GXA4L\n+4/HpoxxoriXFaslYBigUBViZzjGddigfDFomvHWx1HJhTBaL6WLjmXXeVSxHHqTHXkyAdr1wUV3\nudzg8+ir61z5SBVYFIUDJ3uyPY4szgVFUbjQYYbZ5vRb6AW6WEaz1kmFPBitjqRkvFPJhWjvCq6h\n5Wh7L3wAACAASURBVItEyA2pQIZzh2JRFFic2GVTy4UR6zfxOWwI+Bx0m+1RrRA83ziqGEUYPVgR\nU2ZJz9gTS/NhsDhhtjpD1h8LJE/GR3O7ESOK5XDa4ktxXjooJ6LyPrE0H9+f6fB7jxdwz3LYPRPB\noqieWDMeC9puGzoN/nMe6/0UKrZq3LDUPL9EAi5+MubSuoumL90A+TlCtOkizD/Vs+kwdqgCJmv4\nlOsAMKE0D04XjcP1Wk/XuMgV84OUXAqx/S4Bl9LjpyOLZZ8Uq//93//Fb37zG8ydOxc333yzn1Up\nFm06EY27r32VyuyrqH05y9zWacYf//49Tjd1YWC+GL++62oMG5S8TEGxcjnPcX8iEzLPVkqhkIvw\nwvrv8NKHdXiwehJunFwUc38yz5cP1157bZ/6LV26FFqtNuj9hx56CNOmTQMAvP766+ByuaioqIhp\nTJXq0oJ/xBAn2jotGFwo91uwyqSX4gOvH18Am8ONls4eRSXcNR5Y4G8RyNGYYHO4Ic8Vhe3jOQ6f\nx/a2kV3oqXOlUkrRYXSEPKavfAAgl4u9bTyV5FwUC53mS4stNpuCWiWDrMW/jpanH09oR4vOCplU\nGPRZJDzyes6/YEDo54jvcSOdj1IpRa7eCorDRq6MH1IGWasRLhcNAMiR8aHyOa+BBTnQmp3IzxVC\nqZRACaDdYIfN4fbOc+D85edLIOi19vl+VjLk0mKab3agSWuBTCr0k6nb7obZSYPDZkGplGKMm8H5\niwYMH5oH29meRbIiTwKZPoJixWNDJOCA6Y3roTj+1gV1ngiazp4FdtkIFawnNODZXEH3FovHgcYQ\nXLCotPc8fnoVD26aRp6PxUcqE0JvcWF4US6UISypLjeNfx++2HseYijlIu8c5eVJkNurNBcN6rF0\n0bQIzTorBuaLkSPhe8/be3/7zG9+rhCjQygsDIcNWe95DBqYi7Nt/jWVigbmQuljzVECEIj5kEsF\nXm8btUqGwYVyfO9TAkShEKPL6ur53+c7E3g/+F730cPccNE0Bhb439eePgX5YrRqQxcLzs+XQKb1\nV4x8v19A8HeBzed65ywvL7i/31hinrd/PsPAwQBKuQg5Yh5ohgGXE2ylamjvkVWhEHuvd+D3L9R5\njinJg0Im8PseyxXioPYOp9t7DN/xbpQI0NppxrCBOSlXrvqkWO3fvx8AUFlZiXnz5mHbtm1x9Ver\n1WhtbfW+bmtrg1qtjtAj8b4dHfEVFMw0SqX0spSZYRjsP6bB3744BavdjevGDsDiWSMg5LHSfr6X\n6xz3NzIp81CVGA/fPhEvb67Dn/7+PZpbDZh9bXHUfmSe00O6FEGDwYC33noLJ0+ehM3Ws2igKArr\n16+P2G/dunURP9+6dStqa2vx3nvvxSyL7zVSiLjIFcjQHWDRMBgvWXu69BaYrE7ve7Fe4+5uK+wu\nNwRsCh2i0H08Y/I5bO+4nvdohxMSHgv5OcKgY/rKBwAspSiojU5n8bYbPywPPG7PMWinCxRFea1h\nnn4ed0ffsWM511jnxWSyeQu6Rjqfjg4jurqtMFocoGg65LhWsx1WR88C2dPGM4ZWa8LAXAEA5lJf\nNw2D0eqdZ9/j5Yh4MHRbYOzdNA53/h6LgMFo9Xu/S98zzxxWzzNUxKYwYqAUbrsTxfki8DgsdHaa\ngq6ZL3wOGw4bBwazHYzbHVRYWCZg+51fd7cVNocLPBbQ0XFpY51hmJDHCZzDwNdjinL858sH2mdM\nXacZlMvtfd3ZafKzUCmVUnR2mjCiQOr9PPD+8LwuUkmhkvJCHlPXbfPr5/l/aIEMAi4bcLmC+nEB\nmAxWBJa19Z0PvZ5z6VwEbIh6rY4FuQI4XW50mx1Qyf2/SzkCNgB22HtWyKG8/48erMDZlm443W4A\nPdfK9/gyqTDo+gSO22Wy+81vpPuGcbmDfs/cdid0EQoG004XTDYnzCYBOnrNo0OUItT1lkkJlCdH\nwEZzhwkOqwMddqf/fPLZEIew3FI03WN9DRgvh89GZ2f4wsPJeh6lLpVPBMrKytDY2IiWlhY4HA7s\n2LED06dPD9k20Lc8nr6E/oXZ5sQbHx/DW58eB80Ay+aMxvKKMSSeipBSRhTl4jeLr4JcyscHX57F\n+1+chpumMy0WIY2sWrUKLBYLDQ0NuO2228Bms2POYBuOvXv34u2338Zrr70GPr/vWbpStXvqcbvz\nuCnFiycdcrSsZwqpIGoAvEhwydWtbFgexg4NdnWiKAojI8TXJEq4tNYRCRPbNqIo1+tOqJb3WABK\nB+VgbB+OMXqIIulxM565lgi5/q57fUSZKwSHxQoZJ+ULRVHeWJq0ZPSNMm3J/maxKAo5vZkQY8U3\nW2I4t1e5lA+VXIThhbkJFePOEfO89yMFKiXJTfzow/ijBssxojDXL7OhSMDF+GH5IV0gBykl+MmY\nAaFjT8McIzdMWYt00acVrd1ux9mzZ8EwjPd/X0pLSyMflMPB6tWrsWzZMtA0jaqqKpSUlGDTpk0A\ngOrqanR0dKCqqgomkwksFgvr169HTU0NxGJxyL6E/s2x8zq8U3MCeqMdpYNy8J8VY6AiqdQJaaJQ\nKcGqxZPxfx8exu5DLWjtNOO+W8viThFMyE4aGxvxyiuvYM+ePaioqMDPf/5zLFmyJKExn3vuOTid\nTm/m2okTJ+LZZ59NgrTJYfigXLTpLHFl5AJ6kgywoyh714xS43C9FnanO2WLt2tGx+bFEivCEBno\nAomWEe/SWBxcPUoFmr4Us9GXjHP5ssSfgbxeBTqVG5R8Lhvlcaa7D5X0IWE5epNmjCySo7PbBmkW\n/H77ZlDMkwlwNovKgIRLmsPnsGF3ufs0JofNCpl5M5G09f2NPitW99xzj/e17/8AsGfPnqhjeFK0\n+1JdXe39X6lUora2Nua+hP6J3enG5q/qsftQC9gsCvN/Ngy/+ElxXKl+CYRkkJcjwKolk/HWJ8fx\n41ktnnvvIFZWjcegOBeehOyDx+tZMHO5XOj1euTm5kKvTyxb5D//+c9kiJYy+Dx2yPTDofBdPoVa\n9ATCYlFRla9Ea5imYmEejVCWtEjEa230zIlaLoJGb8EgZeK/PWqFCAwD5OckkBmNAgqVYhjMDhQp\nJTjeqPN+FJhtEehJ3mBzhLaGDswXoVFjhELKjynxRFR8biTPRphcyo+p5lsk0n135Yjjs3T1+TgS\nHlq0oZM6FA+QwiLloa3TAksYdz2ZmIdcMR8qeXilvx/VJ+6X9EmxikVxIhAaWg1465PjaNNZUJAn\nwvKKMRgyoG9FKQmEZCDkc7BiwThs+9c5fPp1I5577yAWzxqB68sGpOWhR8gMQ4cOhV6vR0VFBaqr\nqyGRSDB27NhMi9VvSMXmgqfWUqiFeTIZWSTvs7tjphhaIEORShIxG10gnkx0Ir7/fLIoKm6rZCik\nIl5QjajSQTkhi9GWDMpBW2doxbAgTwyVXAg2i4XykaqwVo+0EOI3fYBChDadJWKdzGx6FAROr1TE\nQ/lIFThsFsy2S8rTpFIlCgfmoKPDiPwcAQ6c0IQcj0VR3pT3gbF2HnhcFhx9tFglQuAzur8oeIFc\nPrY3Qr/B5abx6dfn8enXjaAZBjPLi7Bg6rCk+HoTCInCov4/e3ceH0V9/w/8tVeym2Nz7WY3ECKQ\ncBpBhXrgEUsAjwAShApWbCNKL7WCR71QvoUCoqX2eFjNT0GRr/LFIsEKtpREk1IqKgKR+w4JyZ5J\n9j5n5vfHkmU32eyR7GY3yfv5qI+ym5nZ93x2dmbe87l4mHt7IQpy07Hx8+N4d+dxHL3QikUzxlB/\nvwHq9ddfB+AZ5e+aa66ByWTCbbfdFueoQuvJ3C+RuH6UHDYn06t+Hd3JSk/G6PzMbm9gJwaZvyrS\nz+mtYfI0iJOu/PZjdV/tu91IkirAMxT5DVcrYQwxdHsgnfv25GWneofVDyYjNSlgnMmi4LWhHS1S\nIt3HvjBcKcVQWVpEw/x3lFd3c8+Fo+O7z0hNhsHigCQpOteaZBEfySIB5D5NUQN+Zz5zj/F5PCiy\nUuByB+9r3DlxyZGKUTgkA01aM8w2F1IHUPO9aKJSIVHVorfg//39GC6oTMiWJmPxPeMwriedhgmJ\nscljc3GVMh1vf3oUXx1V49wlIyruGYsxBbHrQE/iy2AwoL29Hfn5+RAKE//yd90oT/KRKhYiRypG\nThjN9CKRJBLE9IFXsGaFifQQI9CEyYlIkiyEuQeDnaSKRd7mhwBwlTI9rMQqcRtb9U6kc6ddpUzH\nMEVaVJqnjsrPgMnqisoDAcBTi3PdqK4Tb4cSaELfYEYOyUB2ejL4fB7y5WlIEQvjMjHvtUUyHDrT\ndQqMRBK3M1tdXR1Wr17tHYCicz8twNM5uK6uDmKxGGvXrsX48eMBAFOnTkVqaioEAgGEQiH+9re/\n9XX4pBOW5VBVewabdh2Hy83ilmIlFk4bPaA6JJKBR54pwXM/vh5V/z6Pz/c34NUPD6Lk2iH4xbxr\n4x0aiYKnnnoKjzzyCMaNG4f29nbMnj0b6enpaG1txdKlS/GjH/2ox9t+4403UFNTAx6Ph8zMTKxd\nu9Zv8vreuH6UHByu9OHh8XgYFWJEtoEg/XKNQDQGdeiNFLEQRqsTkihdv6SpImjaw+u/NmZYFk42\n9q7/XyCR9Hkad1U2zFZnjydvjiY+nwdpSlLQpnvR1lF7me5TQ9XbpKqj9kco4EctqYq1VLEQPPAw\nVJbqN9gYn8/r0WAt0SBOEnon++1OPPpn+orLXS/DMFi5ciU2btwIhUKBefPmobS01G90v9raWjQ0\nNGD37t04fPgwVqxYga1bt3r//sEHHyAzc+BfaPoDdasV7+46jjNNBqSniLBk1tWYNCbyJyiExINQ\nwMe8Owpx/Wg5Nn5+HLWHmvH9OT3mlRTihvGKuJ+kSc8dO3YM48aNAwDs2LEDRUVF2LBhA1QqFZYs\nWdKrxOqRRx7Bk08+CcBzPfrLX/6C3/3ud1GJe7A2m06ViHD9KHlMbugj6UM5LDcNKWIRcqTRuQGW\nZUiQkiwMq5YuKz0Z14zMifp5p2Oy1nCal2akJsWkeWhP9Wio/F5IEQsxYWSOX/O5/ijp8nfeuV9e\nuAR8fpd+d/2BPFMCo9WJvJz4DEwVl8Sqvr4eBQUFyM/PBwCUlZWhurraL7Gqrq5GeXk5AGDixIkw\nGo3Q6XSQyTxNI+LaIZIAABiWxb++aULVv8/B6WZx68QhmFcyslftkAmJl5FDpHjlpz/A51814O/7\nGlD592P417eNuH/qKIweRg9x+iPf+aUOHDjgnfNQqVSC38uRSdPSrjQfs1qtyMqiJqTREKukks/j\n4ZqROd5BIIIR8PlRnw4kJYJBPELNC9azzxdizLCsQdUvpjepaSTfVzii/XiuaGgGzreYkBNkNEiR\nkI/rimLzoCKR8fnxreGPyy9MrVb7NZlQKBSor6/3W0aj0UCpVHpfK5VKqNVqyGQy8Hg8VFRUgM/n\nY8GCBb166kh65lyzEe//4wQaNWakSUR4uGwcym4vCjiLOSH9hVDAx6xbRuCe2wrx/7bX4+vjGqz9\n3+9wbZEMs24ZHnG7dBJfPB4ParUaGRkZ+Prrr/H44497/2a323u9/T/84Q/YsWMHxGKxX4sKkphi\nkbD0J75N0LLTxWg19f43QOJDliEJqzlef69164/ikliFWyXfXa3Uhx9+CIVCgdbWVlRUVGDkyJGY\nPHly0G3J5eHN55FIEjHmNpMdH/3zJP7x1QVwHDD9hgL8dObV3vbPiRhzMP0tXoBi7ivLH7kZJxpa\nseHTozh0RodDZ3SYNDYXC6aPwdgEHZClP5ZzLC1ZsgRz5syBUCjEpEmTMGrUKADAwYMHMXTo0JDr\nV1RUQKfr2lF66dKlmDp1KpYuXYqlS5eisrISa9aswZo1a0Juc6B8R4VuDg0tRowYlgV5FIdrHyjl\nEyvRKh+5PB0nG1qh0lshThIMmHL33Q+R2AFpq63L+30po9UGnlCATKk4Ico4EWLoLWmTESzHISsr\nJSH3Jy6JlUKhQEtLi/e1SqWCQuHfjjM3NxcqlSrgMh3/n52djenTp6O+vj5kYtXfalLk8vSEitnh\nYrD764vYtf8iHE4GeTkpeOjOMRhTkAWH1QGt1ZFwMYfS3+IFKOa+0hFzTooIT98/Eccb2vD3/1zA\ngRMaHDihQeFQKWb8oADXj5YlzGTX/bWcY+nuu+/GpEmToNPpvH2tAGDIkCFYuXJlyPU3btwY1ufM\nnDkz4ABMgfS376g7KQJguDwVQo6N2j71x2O4L0W7fNrarTCabHCIBAOi3DuXj8PFwGiyIU0sitv+\nGQw2mGxO8Nno/U56aqD8vowmG1iOQ1uyAGmi6F1/o3U9iktiVVxcjIaGBjQ1NSE3Nxe7du3C+vXr\n/ZYpLS3F5s2bUVZWhkOHDkEqlUImk8Fms4FhGKSlpcFqtWLv3r147LHH4rEbg4LF7sKXBy9hz7dN\nMFicSE8RYf4dhbh94pCEnKOCkGjj8XgYPzwb44dn4+TFNvxj/0UcPqvHXy8dQY5UjDuuG4LbJgzp\n01GrSPhyc3ORm5vr917nB3k9ceHCBQwfPhyAp0+wb+I2GPB4PBr1tb8b4F3Vk0UCXFsk8w7iQEhf\niMtZUSgUYvny5Vi8eLF3uPXCwkJs2bIFALBgwQKUlJSgtrYW06dPh0Qi8Tax0Ol03kSKYRjMmjUL\nt956azx2Y8DiOA6NGjP21rfg3/UtcLgYiJMEKLv5Ktxz01UJNf8IIX1pTEEWxhRkoUVvwZ5vm/Cf\nIy3YVnsOVf8+j0lj5Ci5dijGFGTSSIKDwPr163H+/Hnw+XwUFBRgxYoV8Q6JkIh0dMuIZMTE/kYc\npYl4eyozLQkmmxMZafTgbbDgcYNkeL3+Vv3Z11W2LMehSWPGodM67D+uRoveM99FVnoypk8ehtsn\nDgn5dLK/VTP3t3gBirmvhBuz1e7GviMt+OLgJe9vRpYhxq0T8jClWNmnc33013IebPrbd9SX+uMx\n3JeiXT5OF4NzzUYUKNIHRO1jIh4/HMfBYnd75oSKcwKbiOXTE18fV4PlOAyVpWFYbvQm9+7XTQFJ\n/DmcDC5qTLigMuFUYztONLTBYncD8AzROXmMHDeOV2BikYya/BHSjRSxENMmD0PppHycamzH3u9b\n8M0JDar+fR5V/z6PovwM3DhOgclj5MhI6x+TQhJCBockkQBjr6JpAmKJx+MhTTK4R6OMtlH5mbjQ\nYkRuVnwnEu8OJVYDHMdxaDU60Kg1o0ljRpPWjCatBS16C3zrKrOlybh2lAzjh2fj2iIZNfcjJAI8\nHs/bTPCBaaPxzQkN9h9T40RDG840GfDhv05hxBApJhTmYGKhDMMUadRckBBCCIlQVnoystLl8Q6j\nW3T3PIC4GRaXtBZc1JhwUW1Go8aTTFkdbr/lxEkCjBqagauUUgxXpqNwqBTyTEncq6kJGQgkyULc\nPnEIbp84BO1mB745ocGBk1qcaTLgXLMRVf8+j5RkIYryMzAqPwMjh2RgWG4aPdUkhBBC+rm4JVZ1\ndXVYvXq1d/CKQEPVrlq1CnV1dRCLxVi7di3Gjx8f9roDndPFoElrQYPahAaV578mrRkMe6UaiscD\nFFkpuHpENvLlqcjPTcMweRpyMsSURBHSBzLTPH0Up08eBqvdhSPnW3HkXCtONbaj/qwe9Wf13mVz\npGIMy02DMicFedkpUOakIDcrBdIUEf1eE9iGDRuwbt06fPXVV8jMzIx3OIQQQuIoLokVwzBYuXIl\nNm7cCIVCgXnz5qG0tBSFhYXeZWpra9HQ0IDdu3fj8OHDWLFiBbZu3RrWugOJy81AZ7CjWWdFs86M\nZr0VTRozWvRWsD5t+YQCPgoUabhKkY6Cy/8NlaciWUTDjBKSCFLEItwwToEbxnmG+m43O3C6yYAL\nKiMaNWY0qs04dEYHnPFfL1kkgDxTDFmGBNnSZORIxchKT0ZGahIy0pKRkZaEFGq6GxctLS34z3/+\ngyFDhsQ7FEIIIQkgLlfj+vp6FBQUID8/HwBQVlaG6upqv+Souroa5eXlAICJEyfCaDRCq9Wiqakp\n5LrxwHEc3AwHhmXBsJ5/sywHhmHBcBwYhgPDev7udnNwMSxcbhZOFwObww27k4HF7oLR6oLR4oTV\n4UaL3gKD2dnls5KTBBg5VIqrctM9yZQyHUNkqTTIBCH9SGZaMn4wNhc/GHtljiWT1QlVqxUteitU\neiu07TZoLv/XpLV0uy0+j4e0FBFSkoVIEQshSb78X5IA4iQhxEkCiJN9/p3U9d/JIgGSk/gJM+Fx\nf7BmzRo888wz+OUvfxnvUAghhCSAuCRWarUaeXl53tcKhQL19fV+y2g0GiiVSu9rpVIJtVoNjUYT\nct2+xnIcXtnwNS4FufGJFJ/PQ3Z6MsZdlQVZhhjK7BQMkaViiCwVORli6vhOyACUnpKE9JQkjMr3\nb1LWMWRvq9GOVqMDbSY7DBYn2s1OGC1OmO0u2J0MDGYHtO02vybBkRIKeBAJBUgS8iES8iEU8CEQ\n8CDk88Hnewbq4AEAD7j8L3DgcPl/6DyBx63XKPHD6/N7HE+i2rNnD5RKJcaOHRvvUAghhCSIuCRW\n4fYXiOYUW7GeL+Wt56bFdPv9RX+bl6a/xQtQzH0lEWMeEe8ABpmKigrodLou7z/55JOorKzEhg0b\nvO+Fe71KxOMqkVD5BEflExyVT3BUPrEXl8RKoVCgpaXF+1qlUkGhUPgtk5ubC5VK5beMUqmE2+0O\nuS4hhBDSWxs3bgz4/qlTp9DU1ITZs2cD8LTCuO+++/Dxxx8jJyenL0MkhBCSQOLSmL64uBgNDQ1o\namqC0+nErl27UFpa6rdMaWkpqqqqAACHDh2CVCqFTCYLa11CCCEkVkaPHo19+/ahpqYGNTU1UCgU\n+OSTTyipIoSQQS4uNVZCoRDLly/H4sWLvUOmFxYWYsuWLQCABQsWoKSkBLW1tZg+fTokEgnWrFkT\ndF1CCCEkHmg4fEIIIQDA46LZkYkQQgghhBBCBiEaV5cQQgghhBBCeokSK0IIIYQQQgjpJUqsCCGE\nEEIIIaSXBlVitWHDBowdOxbt7e3xDiWkN954A7Nnz8a9996Ln/zkJ35DzCeqV199FXfffTdmz56N\nxx57DCaTKd4hhfT555+jrKwM48aNw9GjR+MdTlB1dXW46667MGPGDFRWVsY7nJCef/55TJkyBbNm\nzYp3KGFraWnBokWLUFZWhpkzZ2LTpk3xDikkh8OB+fPn495778U999yD3//+9/EOKWwMw2DOnDn4\n+c9/Hu9QYqq//XajJdA5oL29HRUVFbjzzjvx8MMPw2g0ev/29ttvY8aMGbjrrruwd+9e7/tHjhzB\nrFmzMGPGDKxatapP9yGWujvfUBl5dHduo/Lx1/k8SuVzxdSpUzFr1izMmTMH8+bNA9AH5cMNEs3N\nzdzDDz/M/fCHP+Ta2triHU5IJpPJ++9NmzZxL7zwQhyjCc/evXs5hmE4juO41157jXvttdfiHFFo\nZ86c4c6dO8c9+OCD3JEjR+IdTrfcbjc3bdo0rrGxkXM6ndzs2bO5M2fOxDusoL755hvu6NGj3MyZ\nM+MdStg0Gg137NgxjuM4zmw2czNmzEj4cuY4jrNarRzHcZzL5eLmz5/PffPNN3GOKDwbNmzgli1b\nxv3sZz+Ldygx0x9/u9ES6Bzw6quvcpWVlRzHcdzbb7/tvU6cPn2amz17Nud0OrnGxkZu2rRpHMuy\nHMdx3H333ccdPnyY4ziOe+SRR7ja2to+3pPY6O58Q2V0RaBzG5WPv87nUSqfKwLd88e6fAZNjdWa\nNWvwzDPPxDuMsKWlpXn/bbVakZWVFcdownPLLbeAz/ccUhMnTvSb4DlRFRYWYsSIEfEOI6T6+noU\nFBQgPz8fIpEIZWVlqK6ujndYQU2ePBlSqTTeYURELpdj3LhxAIDU1FQUFhZCo9HEOarQJBIJAMDl\ncoFhGGRmZsY5otBUKhVqa2sxf/78eIcSU/3xtxstgc4BNTU1KC8vBwCUl5djz549AIDq6mqUlZVB\nJBIhPz8fBQUFOHz4MDQaDSwWCyZMmAAAmDNnjned/i7Q+UatVlMZ+eh8bsvIyKDy8RHoPErl44/r\nNPh5rMtnUCRWe/bsgVKpxNixY+MdSkT+8Ic/4I477sD27duxZMmSeIcTkW3btqGkpCTeYQwYarUa\neXl53tcKhQJqtTqOEQ18TU1NOH78uPdkmshYlsW9996LKVOm4MYbb0RRUVG8Qwpp9erVePbZZ70P\nYwYq+u360+v1kMlkAACZTAa9Xg8A0Gg0UCqV3uWUSiXUanWX9xUKRb942BEp3/MNldEVnc9to0aN\novLxEeg8SuVzBY/HQ0VFBebOnYutW7cCiH35xGWC4FioqKiATqfr8v6TTz6JyspKbNiwwfte5+w1\nXrqLeenSpZg6dSqWLl2KpUuXorKyEmvWrPFOkhxPoWIGgL/+9a8QiUQJ07cmnJgTHU1A2rcsFgue\neOIJvPjii0hNTY13OCHx+Xzs2LEDJpMJixcvxv79+3HjjTfGO6xuffHFF8jJycH48eOxf//+eIcT\nU/Tb7R6Px6Pygf/5xre1CkBl1Pnc9tVXX/n9fTCXTzjn0cFcPgDw0UcfITc3F62traioqMDIkSP9\n/h6L8hkwidXGjRsDvn/q1Ck0NTVh9uzZADxPD++77z58/PHHyMnJ6csQu+gu5s5mzpyZMDVWoWL+\n5JNPUFtbi/fff7+PIgot3HJOZAqFwm8AE5VKBYVCEceIBi6Xy4UnnngCs2fPxrRp0+IdTkTS09NR\nUlKCI0eOJHRidfDgQdTU1KC2thZOpxNmsxnPPvss1q1bF+/Qoo5+u/5ycnKg1Wohl8uh0WiQnZ0N\nwFNOvs3HVSoVlEplwPdzc3P7PO5YCXS+oTLqquPcdvToUSqfywKdR5955hkqHx8d+5GdnY3pENWS\nRQAAIABJREFU06ejvr4+5uUzsNtgABg9ejT27duHmpoa1NTUQKFQ4JNPPol7UhXKhQsXvP+urq72\ntsNOZHV1dXj33Xfx5ptvIjk5Od7hRCxRajIDKS4uRkNDA5qamuB0OrFr1y6UlpbGO6wBh+M4vPji\niygsLMRPf/rTeIcTltbWVu+oRna7Hfv27cP48ePjHFVwy5YtQ21tLWpqarB+/XrcdNNNAzKpAui3\n29nUqVOxfft2AEBVVZU3mZg6dSp27twJp9OJxsZGNDQ0YMKECZDL5UhLS8Phw4fBcRx27NjR7x54\ndKe78w2VkUd35zYqH49A59HXXnuNyucym80Gs9kMwDNWwd69ezF69OiYl8+AqbEKV3+pEl2/fj3O\nnz8PPp+PgoICrFixIt4hhbRq1Sq4XC48/PDDAIBrr7024eP+17/+hVWrVqGtrQ0/+9nPMG7cOLzz\nzjvxDqsLoVCI5cuXY/HixWBZFvPmzUNhYWG8wwpq2bJl+Prrr9He3o6SkhI88cQTuO++++IdVlAH\nDhzAp59+ijFjxmDOnDkAPPtx++23xzmy7mm1Wjz33HNgWdbbH+Hmm2+Od1jksv74242WQOeAJUuW\n4Mknn8S2bdswdOhQvPHGGwCAoqIi3H333SgrK4NAIMArr7zivV6/8soreP7552G321FSUpLQv8dI\ndHe+oTLy6O7cNm7cOCqfIOj48dDpdHjssccAeIaknzVrFm699VYUFxfHtHx4XCI/pieEEEIIIYSQ\nfmDANwUkhBBCCCGEkFijxIoQQgghhBBCeokSK0IIIYQQQgjpJUqsCCGEEEIIIaSXKLEihBBCCCGE\nkF6ixIoQQgghhBBCeokSK0IIIYQQQgjpJUqsCCGEEEIIIaSXKLEihBBCCCGEkF6ixIoQQgghhBBC\neokSK0IIIYQQQgjpJWG8AyCEBDd16lTo9Xrw+XyIRCJcd911+J//+R8olcp4h0YIIWQQoesRIcFR\njRUh/cBbb72FgwcPYu/evcjJycHKlSvjHRIhhJBBiK5HhHSPEitC+pGkpCTceeedOHPmTLxDIYQQ\nMojR9YiQriixIqQfsdls2LVrF6677rp4h0IIIWQQo+sRIV1RHytC+oFf/vKXEAqFsNlsyM7Oxjvv\nvBPvkAghhAxCdD0ipHuUWBHSD7z55pu4+eabwXEc9uzZg0WLFmHnzp2QyWTxDo0QQsggQtcjQrpH\nTQEJ6Ud4PB6mT58OPp+P7777Lt7hEEIIGaToekRIV1RjRUg/wnEcqqurYTQaUVhYGO9wCCGEDFJ0\nPSKkK0qsCOkHfv7zn4PP54PH42Ho0KF49dVX6UJGCCGkz9H1iJDu8TiO42K18bq6OqxevRosy2Le\nvHlYsmRJl2VWrVqFuro6iMVirF27FuPHj/f+jWEY3HfffVAqlXjrrbcAAO3t7Vi6dCmam5sxdOhQ\nvPHGG5BKpbHaBUIIIYPcuXPnsGzZMu/rxsZG/PrXv8bs2bPpekQIIcQrZn2sGIbBypUr8c4772Dn\nzp3YuXMnzp4967dMbW0tGhoasHv3bqxcuRIrVqzw+/umTZu6PAWprKzElClT8M9//hM33XQTKisr\nY7ULhBBCCEaOHImqqipUVVXhk08+gUQiwfTp0+l6RAghxE/MEqv6+noUFBQgPz8fIpEIZWVlqK6u\n9lumuroa5eXlAICJEyfCaDRCp9MBAFQqFWprazF//ny/dWpqarzrlJeXY8+ePbHaBUIIIcTPvn37\nUFBQgLy8PLoeEUII8ROzxEqtViMvL8/7WqFQQK1W+y2j0WigVCq9r5VKpXeZ1atX49lnnwWf7x+i\nXq/3Dukpk8mg1+tjtQuEEEKIn507d6KsrAwAXY8IIYT4i1lixePxwlqucxcvjuPwxRdfICcnB+PH\nj+/y986fEc7nxLAbGSGEkEHC6XTiiy++wN13393lb+Fcj+haRAghA1vMRgVUKBRoaWnxvlapVFAo\nFH7L5ObmQqVSdVlm9+7dqKmpQW1tLZxOJ8xmM5599lmsW7cOOTk50Gq1kMvl0Gg0yM7ODhkLj8eD\nVmuK3s5FmVyeTvH1UCLHBlB8vUXx9U5/iK8/qaurw9VXX+297kR6PUr0a1G8JfrxGm9UPsFR+QRH\n5RNctK5HMauxKi4uRkNDA5qamuB0OrFr1y6Ulpb6LVNaWoqqqioAwKFDhyCVSiGXy7Fs2TLU1tai\npqYG69evx0033YR169YBAKZOnYrt27cDAKqqqjBt2rRY7QIhhBDitXPnTsycOdP7mq5HhBBCfMWs\nxkooFGL58uVYvHixd7j1wsJCbNmyBQCwYMEClJSUoLa2FtOnT4dEIsGaNWtCbnfJkiV48sknsW3b\nNu/wtoQQQkgsWa1W7Nu3DytXrvS+R9cjQgghvmI6j1UiSeTqz0Svnk3k+GIVm5thUX9Wj/3H1NC0\n2WCxu2Cxu8CwHJKEAiSJ+EgSCpCcJECySABxUsd/QqQkCyFNTYI0VYSrhmZCCA45UjGEgphVEPdY\nIn+3AMXXW/0hvsEmkb+PeEv04zXeqHyCo/IJjsonuGhdj2JWY0VIf+RwMdhedw77jqhgtrkAAMki\nAdIkQsgyJODzeXC5WThdDKx2F9pMDjhcTMjt8nhAdroYuVkSKLJToMiSYKgsFUPlachMSwp7sBdC\nCCGEEJKYKLEi5LI2kwN/2laPBpUJ0tQkzPjBMEwpVqJAEfwpBstxcLoY2J0MbA43rA43jBYnDBYn\nnAxwscUAXbsNWoMdxxvacLyhzW/9VLEQRUMzMH5ENq4eno28nBRKtAghhBBC+hlKrAgBcL7FiD9t\nq4fB7MStE/KwaMYYiIThNd3j83gQJwkhThIiMy3Z72+dq94dLgaaNhtUrVZc0ppxSWvBRY0Jh8/q\ncfisZw6cIbJUlE7Kx5SrlUhOEkRvJwkhPWY0GvHSSy/h9OnT4PF4WLNmDa666iosXboUzc3N3j5W\nUqk03qGSMB08rUWSUICrR4QeXZgQQsIR08Sqrq4Oq1ev9g5esWTJki7LrFq1CnV1dRCLxVi7di3G\njx8Ph8OBBx98EE6nEy6XC6WlpXjqqacAAH/+85/x8ccfe4e1XbZsGW6//fZY7gYZ4M63GPHq/34H\nl5vF/VOLMOMHw2JWY5QsEmBYbhqG5abhB2Nzve/rDXYcu9CK78/pcfC0Dh/88yS2fXkWUyflY+bN\nVyFJRAkWIfH0u9/9Drfffjv+9Kc/we12w2az4a9//SumTJmCRx99FJWVlaisrMTTTz8d71BJmBwu\nJqym3IQQEq6YJVYMw2DlypXYuHEjFAoF5s2bh9LSUhQWFnqXqa2tRUNDA3bv3o3Dhw9jxYoV2Lp1\nK5KTk7Fp0yZIJBK43W488MADOHDgACZNmgQej4eKigpUVFTEKnQyiFjtLvy16ghcbha/mnsNrh8t\nj0scORli3DZxCG6bOATtZge+PHgJXx68hM/2XcDXx9RYdNcYXD2cnqoSEg8mkwnffvstXn31VQCe\nUW/T09NRU1ODzZs3AwDKy8uxaNEiSqwIIWQQi9kwZfX19SgoKEB+fj5EIhHKyspQXV3tt0x1dTXK\ny8sBABMnToTRaIROpwMASCQSAIDL5QLDMMjIyPCuN0gGMiQxxnEcNuw6AZ3BjplThsctqeosMy0Z\nc24biVd/PgV33jAMWoMNv99yCBt2HofLTU9XCelrTU1NyM7OxvPPP4/y8nK89NJLsFqt0Ov1kMlk\nAACZTAa9Xh/nSAkhhMRTzGqs1Go18vLyvK8VCgXq6+v9ltFoNFAqld7XSqUSKpUKMpkMDMNg7ty5\nuHjxIhYuXIiioiLvcps3b0ZVVRWKi4vx3HPPUZt20iN7DjThu1NajC3IxL23joh3OF0kJwlw/9RR\nuGm8Eu99fgJ7v2+Bqs2Kx+deg/SUpHiHR8ig4Xa7cezYMSxfvhwTJkzA7373O1RWVvotw+PxwmpC\nPBiHmI9EX5aPNN3Q55/ZW/0p1nig8gmOyif2YpZYhdtHpXPtU8d6AoEAO3bsgMlkwuLFi7F//37c\neOONWLhwIX71q18BAN544w2sXbsWq1evDvk5iX4wUXw915PYzl0y4OMvziAjLQnP/fQG5GRIYhCZ\nR2/LTi5Px4SxCvxxy0HUHbqEtR8exIpHbsIQeVpCxBdrFF/vJHp8/YFSqYRCocCECRMAAHfeeScq\nKyshk8mg1Wohl8uh0Wi8fX+DoXlkutfX8+wYTTYA/ec7oXmIgqPyCY7KJ7iEn8dKoVCgpaXF+1ql\nUkGhUPgtk5ubC5VKFXSZ9PR0lJSU4MiRI7jxxhuRk5Pj/dv8+fPxi1/8Iqx4EvlgSvSDPZHj60ls\nHMfhz/93EG6GQ8Xd48A63THbv2iW3UN3jka6RIid/23AU3+sw4sPTYIiKyVh4osFiq93+kN80bZv\n3z6cO3cODz74IHQ6HUwmE0aM6F2NtFwuR15eHs6fP48RI0bgv//9L4qKilBUVITt27djyZIlqKqq\nwrRp06K0F4QQQvqjmPWxKi4uRkNDA5qamuB0OrFr1y6Ulpb6LVNaWoqqqioAwKFDhyCVSiGTydDa\n2gqj0QgAsNvt2LdvH8aPHw/A03yww549ezB69OhY7QIZoL46qsaZSwZMGi3HhMKc0CskCD6Ph/tK\nCvHj6aNhtrnwxtbD3kmMCSHA22+/jb/85S/YtGkTAE8f3RdeeCEq216+fDmefvppzJ49GydPnsQv\nfvELLFmyBPv27cOdd96Jr776KuDIt4QQQgaPmNVYCYVCLF++HIsXL/YOt15YWIgtW7YAABYsWICS\nkhLU1tZi+vTpkEgkWLNmDQBAq9XiueeeA8uyYFkW9957L26++WYAwOuvv47jx4+Dx+MhPz8fv/3t\nb2O1C2QAsjnc2PrlGYiEfNw/tSj0CgmodFI+2kwO7PqqAX/55Hs8df+1Yc+5RchA9tlnn2Hbtm34\n0Y9+BADIy8uD2WyOyrbHjh2Lbdu2dXn/vffei8r2CSGE9H8xnceqpKQEJSUlfu8tWLDA7/XLL7/c\nZb0xY8Zg+/btAbe5bt266AVIBp3P/nsBBrMTs28ZDllm7PpVxdrckpHQtNvw7QkN3vv8OB6ZOT5m\nc28R0l+IxWIkJdHALoQQQuKDHnOTQUPVasXurxuRIxXjnpuuinc4vcLn8fBI2TiMHCLFf4+q8e/6\nltArETLA5eXl4dtvvwXgmUvxzTffpObihBBC+kxMa6wISSQff3EGDMvh/qlFSBIJ4h1OryWJBPjl\nnGIsf3c/tlSfxvjhWZDFcHRDQhLdSy+9hN/85jc4ffo0Jk6ciMmTJ+P111+PyranTp2K1NRUCAQC\nCIVC/O1vf0N7ezuWLl2K5uZmDB06FG+88QZN/0EIIYMYJVZkUDjV2I6Dp3Uoys/ApDGJMRFwNGRL\nxVhYOhobdh3Hxl0n8PSCa6lJIBm0cnNzsXHjRlitVrAsi7S06ExJ0OGDDz5AZmam93VlZSWmTJmC\nRx99FJWVlaisrMTTTz8d1c8khBDSf8S0KWBdXR3uuusuzJgxo8tkih1WrVqFGTNmYPbs2Th27BgA\nwOFwYP78+bj33ntxzz334Pe//713+fb2dlRUVODOO+/Eww8/7B09kJDucByHj784AwD40Q+LBlzi\nccs1SkwozMHxhjZ8efBSvMMhJG6+/PJL1NbW4ptvvsGBAwdQW1uL2traqG2/87yLNTU1KC8vBwCU\nl5djz549UfssQggh/U/MaqwYhsHKlSuxceNGKBQKzJs3D6WlpSgsLPQuU1tbi4aGBuzevRuHDx/G\nihUrsHXrViQnJ2PTpk2QSCRwu9144IEHcODAAUyaNImeEJKIHTipxdlmIyaNkaNoaEa8w4k6Ho+H\nn9w1Fi+/ux9bvziLa0bm9OuBOQjpqXfffdf7b6fTiePHj2P8+PFdBlHqCR6Ph4qKCvD5fCxYsAA/\n+tGPoNfrIZPJAAAymQx6vb7Xn0MIGfiMVicsNhfyclLjHUrMMCwLh5NBilgU71D6VMwSq/r6ehQU\nFCA/Px8AUFZWhurqar/Eqrq62vu0b+LEiTAajdDpdJDJZJBIPDeGLpcLDMMgI8NzQ1xTU4PNmzcD\n8DwhXLRoESVWpFtuhsXfas9CwPfMATVQZaUnY+G0UXjns+P4qPo0Hr9vQrxDIqTPffDBB36vz5w5\ng3feeScq2/7oo4+Qm5uL1tZWVFRUYOTIkX5/5/F4YdWGx2JS5GjjOA4My0Eo6PvxrfqyfKTphj7/\nzN7qT7HGQ7zK59TFNlhsLlw3Jjes5Y991wQAGFeU2qfTpfRl+Rw7r4e2zYYfjFcMquQqZomVWq1G\nXl6e97VCoUB9fb3fMhqNBkql0vtaqVRCpVJBJpOBYRjMnTsXFy9exMKFC1FU5JlziJ4QkkjUHmqG\nps2GqdcPhTI7Jd7hxNTNVytRd7gFB0/rUH9WhwmFsniHREhcFRUV4ejRo1HZVm6u54YpOzsb06dP\nR319PXJycqDVaiGXy6HRaJCdnR1yO1qtqccxcBzX66bMqlYrpClJSBF3f/k/ck4Ps92FG8YqwOf3\nXdNpuTy9V+UTKaPJBqB330lf6uvyiQWL3QW9wY783DTwo9wsP57lc/K8DgCQnx1ea5Erx54RImHf\nDKbV1+Vz9mIrAKCp2YCs9OQ++9yeilbSGTKxWrx4MX784x/jhz/8YUQn9HCX7dxmvWM9gUCAHTt2\nwGQyYfHixdi/fz9uvPHGLsuG+zmJ/pSH4uu57mIzWZ349D/nIUkWomL2NciM0w+7L8vu8fuvw6/X\nf4n/qzmL2yYVhDX6YSJ/twDF11uJHl80ffnll95rAsMw+P777yES9f5Jqc1mA8MwSEtLg9Vqxd69\ne/HYY49h6tSp2L59O5YsWYKqqipMmzYt6HY4joPR6kSaRBTxTaW23YazzQYUj8hBmqRn+2Sxu3BB\n5emXfNN4ZbfLme0uAICLYZHM7/8jqJLYY1nOm4Q7XAxUeiuGylO71HqebjLA7nQjPSUpoW629QY7\npKmiPktyyMAVMrG6//778f7772PVqlVYsGAB5s+fj6ysrJAbVigUaGm5MreOSqWCQqHwWyY3Nxcq\nlSroMunp6SgpKcHRo0dx44039ugJIZDYT6QS/SlUIscXLLYP95yCyerC/B8WwmV3Qmt39nF0fV92\nqUIeSq/Px7++bcTmnUcx65YRQZdP5O8WoPh6qz/EF02+fayEQiEKCgrwxz/+sdfb1el0eOyxxwB4\nErZZs2bh1ltvRXFxMZ588kls27bNO9x6ME0aM45daMVQWRqG5UY2YuFFted71BlsPU6sGIYLvRAh\nEbqoNqFZb8HEQhkkyUKcaTLAZHOCxwMKFP6/cbvTDQBgGDYeoQbUbnbg9KV2SJKEmFCYA7PNhdQQ\nDz/qz+rB5wPFI3J69dncIPhJdq5AGehCJlYzZszAjBkzcPbsWXz00UeYOXMmbrnlFjz00EMoLi7u\ndr3i4mI0NDSgqakJubm52LVrF9avX++3TGlpKTZv3oyysjIcOnQIUqkUMpkMra2tEAqFkEqlsNvt\n2Ldvn/eiFukTQjI4tegt+OK7S8jNlGDapGHxDqdP3XvrCOw/rsbO/zbg5mIlzW1FBo3OfayiZdiw\nYdixY0eX9zMzM/Hee++FvZ12swOAJzkSCnh93nF9cN3ekL7SrLcA8AzIIEkWwulmAHhqPLuTSMei\n0+WJ1+Z0Q2uw41yzAUNyUrskhb6sDldfhUf6mYj6WHEcB6FQiOTkZPzmN7/Brbfeiueffz7whoVC\nLF++HIsXLwbLspg3bx4KCwuxZcsWAMCCBQtQUlKC2tpaTJ8+HRKJBGvWrAEAaLVaPPfcc2BZFizL\n4t5778XNN98MAFiyZElETwjJ4LSl+spkwH3ZMTQRpIiF+NEPC/HOZ8exefcp/HrehAE3xDwhvnyb\nAAYSjVEBo8nhYtCgNsFkdWH0sMzQK5CInG02wOlkMG54eC1aBgo3w8LuZHpco9lrl7MlHnh+rxOd\nb5gWmydh0rbbgyZWJDijpe9bCCWKkInVP/7xD3z44YfQarV48MEHsWvXLqSmpsLtdmPGjBndJlaA\n52LW+YK2YMECv9cvv/xyl/XGjBmD7du3B9xmpE8IyeBTf1aP78/pMe6qLFw7anAO4HDz1Ur853sV\n6s/q8e1JLX4wNryRigjpj3ybAAYSjcSKYRjcd999UCqVeOutt9De3o6lS5eiubnZ+5BPKpVGtM3B\nfPMRS9p2W8hlAjVPcjMsjBYnsqXiWIQVU6eb2qE32gHA2yQvbsLIqyLJudwMi0taC5TZKUgSeR6U\n+j5IaVCZIE4SRKVpcUfzPxfD9Hpbg9nJxvaIltcZbEgVi0Iety43A1WrDXk5KXEZtTQcIX95n3zy\nCR599FHceuutfgeyUCjEiy++GNPgCImU08Xgw3+dAo8HLCwdNWhrang8Hh66cwyWv/s1PvzXKVw9\nPGtQDXdKBpdYNQH0tWnTJhQWFsJi8TR7isacitLUpKB/dzgZnGk2YIQySk/O+6ivQzRGL4yHExfb\nYLa5MGZYVkwGVuhI5mJRNh1JFQA43SwkcRwXwrt3UTrcmnUWtLRaYLI6YXcySBIJMKHwSt+mllbP\nb7J4jKK7TQTnE2dH4kZ6h2HD70PndDE4c8kz9UGwQXUA4MwlIwwWB9wMi8y0ZGSmJSXcuSbkEfT2\n22/jtttu8wu84+RQWloau8gI6YEd/zkPTbsNM34wDPkRdg4faBTZKZh9y3AYLE787cuz8Q6HkD5h\nMplQX1+Pb775xvtfb6lUKtTW1mL+/Pne92pqarzzMJaXl2PPnj29/pzOLmpMMFmdOHPJGPVth4Nl\nOVzSWeByh3+TdPJiGw6d1oHlOHAcB3cCDVLgy+pwe//dcU9jvtwMzOEKXlvhcDIwWSOvbTx0Wofv\nTmm9rw0WJ9pMjoi2wXIcGlQm2Hzi75ciSPIZ1rOs083CzbJx7d9ksbugCaNGNJGYbS6cvNgGN8PC\nbHPB2INjN5Y6vl8AIY/rjt+mus2Kk41t0BvsQZePh5CJ1QMPPACDweB93dbWhgcffDCmQRHSExfV\nJvxzfyNkGWLMuXVk6BUGgbtuLMBQeSq+PNSMkxfb4h0OITG1a9cuzJw5Ew899BBeeuklPPTQQ1i9\nenWvt7t69Wo8++yz4POvXDL7Yk7FK/ee0Xn0H+lWLuksaNSYcK7ZEHrhy9rMDjjcDNxuFmebjfju\nlDai5Mpqd8e8iSTDsvj+XM++rwaVCQfPaHH0QmvEo5053IzfgA7HG1pxsjGy8/K5S0a0tFq8T/h7\nQtNuw/GGNrAxqsHseA7vcDM43dSOb05oEnpkuEgi+/6cPuTvgWU5v/1tMzngcAZO1gN9tsvNhF1e\neoMdzTpL0GWOXWhFm9mBZq0ZR87rcexCa58mJJHUKJlsLhy90NptgtV5SxZ74j1gCJlYWa1WZGRk\neF9nZWV5m0KEUldXh7vuugszZsxAZWVlwGVWrVqFGTNmYPbs2Th27BgAoKWlBYsWLUJZWRlmzpyJ\nTZs2eZf/85//jNtvvx1z5szBnDlzUFdXF1YsZGBjWBYbPz8BluPw0F1jkJxEc1EAgFDAx0/uGgse\nD3jr06PeUckIGYj++te/Ytu2bRg+fDj++c9/4p133gk6em04vvjiC+Tk5GD8+PHd3uxEMqdiJOLd\nwuXKaGmR9zfh4Ok3wXJcRDVe9ed0ONbQGvHnRaJzK6VIbqw7mp1FyhClc6/j8oh7HUPntxrtaFBF\nNqXCuWYDDBZHzGq9OvopmaxO6I12MCwLdwIM9e90MdC224ImlNHI/74+ocb35zzHsN3pxsnGNhw+\nqwtrXbvTjQOntDjdFF7ifPpSOy5qgn//Hfvru2unL0XWByoQp8uTOHcMod8d7nItqzWMJEil9zT5\nPBvBg4N2swMtekvCJO8h+1ixLAur1YqUlBQAgMVigdsdunAYhsHKlSuxceNGKBQKzJs3D6WlpSgs\nLPQuU1tbi4aGBuzevRuHDx/GihUrsHXrVgiFQrzwwgsYN24cLBYL5s6di1tuuQWFhYXg8XioqKhA\nRUVFL3abDDR7vm1Cg8qEm69W9npeiYGmaGgG5t9RhK1fnMGbVUfw7MLrErbTJyG9IRQKIZPJwFzu\neH7LLbfgtdde69U2Dx48iJqaGtTW1sLpdMJsNuOZZ57p8ZyK0vQr0x9kZkqCdrjXmp1wcTykiIVw\nuVm43CyyMlN73EmfnySEtM3zpDrYNqTpnpuajLQkQCCARCwM+zM71hWJk7z7KpOlhdXHk2E57zq9\nGYigI4butuFyM5C2XLkZlcvSwefzvOtlZ6ciNT0Zh09rUZifidyslC7bBgDZ5fXCYWfRZd9CxRlI\nhlQCnkCAbKkYcnk6jjUaLm/rynGVk5OKrPTuB+Do+FxZThrSUoL38wuHb7kxfB6ESSJIRf63lzJZ\nGpJEAu+yTo6HrOyuEwgH0mZzw+bmkCTiw+nyZMW+Zeb7nQQry8OntWg3OSGTpUHu8506wUOrxdO8\nUJohgdTm7nZbvp/lu4zvd+n7b4PZEfCY7lhGb3Fh4qhMNKpNSEsRQSISQpougTvEvnTejjg1GRda\njBh7VXaXkZC9MXP+x0nn7av0FqSnJCE1zFElj53Xw8XxcE5tQcn1+YE/EwDD58PiYmHTW3HbtUO7\nbMdqd0Gq8TywSE4SQJjEIFUiCrj/GVoLRD4JmsXFwnL5nDaiQIz0KBzPvRUysZo5cyYefvhhLFy4\nEBzHYcuWLZg1a1bIDdfX16OgoAD5+Z7CLisrQ3V1tV9iVV1d7W2jPnHiRBiNRuh0OsjlcsjlcgBA\namoqCgsLodFovOsmSlZKEkOL3oJP6s4hTSLCgtKieIeTkO68YRguqIz4+rgGH1WfxqIZY+IdEiFR\nl5ycDJZlUVBQgA8++ABDhgyBzda7/hDLli3DsmXLAABff/01NmzYgNdeew3r1q3r0ZzwHbqDAAAg\nAElEQVSKRtOVeAQcC602CTaHG8lJgi4TkhrabTCabHA5hHAzLFwMixQRD1pxz2rk20wO7+cHmzi6\nYxmn3QW7yw2XQ4jmFgMu6cwYKkuFSNj953es+/X3l7zv6XTmsEapk2amhBVfKB3bOHVOhzSJCEKB\nf42iy834fQ9arQl8Ps/7XlurCCq1EbpWCwwGOyaNkXfZNgBodaagk8j6amuzdNm3cPeV4zjoDHaM\nGiFDu8EKs811+dgx+cXTQa+3wG3vvh9Sxzo6vRk2S+CbaDfDwmB2Ikua7LePNocbxy60oXCoFJlp\nyX7bU2kEuKQzB9yeTmeCSCjwLms02cA43bgqjIFZ2tutXfbTt8w6f5eBtBrtuNjsqaVRqY3gua/U\nwur1V76bIyG21V0cvt+l7791l3/D3cVsNNmQm56EQyc1AIDR+ZkR/QY6lv3ymwYAgNvu8vYvP99i\nRLLoSplzedJuy8rhZHDwjKf/X6gBJDq0tlpgvFwT23ipDeKkK7/xzue5juUC7ZPd6fYunywUeJoS\nO90BlzUYbLB1U0Om1Zpg70ViFa0J60Oe6X72s58hNzcX1dXV4PF4WLBgAebMmRNyw2q1Gnl5ed7X\nCoUC9fX1fstoNBoolVe+QKVSCZVK5W23DgBNTU04fvw4JkyY4H1v8+bNqKqqQnFxMZ577rmIh7gl\nAwfDsHjns+NwuVk8OnN8QjytSEQ8Hg8Vd49Ds84zcfKQnFSUTsoPvSIh/civf/1rmM1mPP3001ix\nYgVMJhNeeeWVmHxWtOZUNNtcOHJej7zs1G5vMn0fJbrcLFr0FiiyUsKuLekpu+vKDUyDygSd0QaX\nm8Wo/K5zb9mdbrBs9B56RmNkQd/+S4qsFIiTBAEnZTZand4kAfBMbNvRbJq7PAiHyeaC0ezf94tl\nOfAF4cXYm+fBHZPWujhen80N1aQ1Q9VqxQhGCkX2ldoddZsVLobB2UsGTBrjP41HsO+f4wBNm9Xv\nPYPFASD8m1k+j9fjfmEdkxgDsRmVsYPvg3+O4/wGZjjV2I5saTJkGZJu1+nM7nTDYHEiN1MSVty+\n5aO+XN488MCFOHCYHvx2Ha4rbWoTob4jAUIAEOYEweXl5d6apXCFe+B2PqB817NYLHjiiSfw4osv\nIjXVczJcuHAhfvWrXwEA3njjDaxduzYqnZNJ//S3mtM432LETVcrMJnmagoqOUmAx+6bgFXvf4v/\n/dcp2Bxu/HR27/qfEJJIrrvuOojFYkilUrz//vtR3/4NN9yAG264AUB05lRsMzu8N/QtrZawnt7r\njXbojXbYnQxG5PXdQ0XX5Sf8zm76Sx06E7wPic3hhlDAg0goCGvYcY4DtO1WpEpESI1gqojuRtnr\nuMnMy0ntchN44mKb31P6Ju2VWhceD/j+XGvAkei07TZvbKGGzg+mUWPuMi+Pb2LZMfCB0eL03jwG\nK7smrRkZqb2bHLnN6CnH7gYHCHQjHerm/VyL/+iWLOfpH81x6LZJoNPFoPXyUPK9uXn3XbcnaZXB\n4kSSMHSzRd8Q9x9X+/2t1WRHq8neJbHyzWl8v9dzzUZYHS6YbS4kCQXISk8Gy3LQGmzIkYojbtIf\n7dZePRmd8XyLESarC9eMzO5RghtsFYbhcOaSAVlpycjJiN9cdCETK51Ohw8++ACNjY3evlU8Hg9/\n/OMfg66nUCjQ0tLifa1SqaBQ+M8xkJubC5VKFXAZl8uFJ554ArNnz/ZrYpGTc6X/zPz58/GLX/wi\n1C4AiF4VX6xQfJE729SOj3afRE6GGL9ecH1U2orHQiKVnVyejteeuA0vV/4Xn9Sdg4sDHpldHPMn\n372RSOUXCMWXOO644w6UlpaivLwckydPjnc4YTEHabIV7A5Q3WZFbpYEqWIRvjqmAp/Hww3jrlxj\nHS4GDMNGb/66AHc0DMuiUWOGwqe/SiAc5xmUAvA0M/IMOc7za2LXWavJ7r0RLxySAXlmp5tRloPZ\n7kKTxoy8nFTvvFPRHt7ddbkJZiAMy3kH2gi3+RTgubkc5jMdyCWdGXw+D0NlngfILMvh6xNq5Gam\nYOQQqfcw4MCFlVz0ZCj4YNwMCwHf05ySF+SgDBZboD9xHIfjF9rgcLHdHgtHz7d6y79z4sZyXNhN\nMbkeZFbqVqu3tu54uAOq9CR36WYdTfuVGr6OeaFa9BY0as0wmJ0YPaxrzXEgPJ7nuwm3VsrNsODz\neQHL9oLKCIbhUDg0w+/9YF+DbwLV8YCDYTkIL9f2atujM0JhRw21zmCD0ZrSpw+efIVMrB5//HEU\nFRVhypQp3qFmw8kyi4uL0dDQgKamJuTm5mLXrl1Yv3693zKlpaXYvHkzysrKcOjQIUilUshkMnAc\nhxdffBGFhYX46U9/6reORqNBbq6nZmLPnj0YPXp0WDvam/basSaXp1N8EXK5Wby2+VswLIef3DkG\nNosDNkvijXiXiGWXzAOee+B6rP+/Q/j7v8+hRWvG4nvGJeRIiolYfr4ovt6JdtL3+eef47PPPsPq\n1athNpsxd+5czJkzx6/JeTwFGh2PCTJaWqiJVs02l7fGpKMJEMOyON9igs5gAw883DAu13vNjnYL\nKHWrDapWK9pNoW7k/ZtHeW+UOQ4sx8FkdSEjNQnfndB4l/MtF227zS+x6kg8OhitTm9i05cD84Rb\nAeAZFe/Kd69us3YZYMDl0+enY64eTbsViuzAzcZCfZdWuwuAZ+CT3mBZDt+d0iIjNQljCrK877tZ\nFgzLQsD3rWWLbNsOF+PdV4eLgcHsAMfBr+mhwx14REqD2YHjF9tQOCQj4N87842t82+uu7jPq4x+\nscRTR5Jjv1x7abW7w66B6jg3XNIE7v/W2bcnNUgWCnDdaP9kl+U4qFo9idGwCOYJDTQa4EW1GXqj\nHZNGy/365XX3ECNS6jarX2JlsDihbbNh5BBpzB8kh/zFmUwmrFy5MvINC4VYvnw5Fi9eDJZlMW/e\nPBQWFmLLli0AgAULFqCkpAS1tbWYPn06JBIJ1qxZAwA4cOAAPv30U4wZM8bbn2vZsmW4/fbb8frr\nr+P48ePg8XjIz8/Hb3/724hjI/3fp/85j0taC+66eTiKR9IogJHKSk/Gb358Pd769Ci+PaGButWK\nx+deA1mnp8KE9CdZWVlYtGgRFi1ahJMnT+K9995DaWkpjh492qvtOhwOPPjgg3A6nXC5XCgtLcVT\nTz2F9vZ2LF26FM3Nzd5+VsH6/JoinZ/p8vXf7nJDFCBhsNrdXYbM1rTZoDNc7qx+uYaj4ybc94ZS\n025DbgS/946bON/k8MrErcGHY++ueZTvv4fkpHpHfAPQbQd1wL+pXqyJBAK4mG7mIArzxvbASW2X\nvkGda9bc7it/950W4/tzeqRdTp457sp6wWqOAKD+8jxdky/3g/r2pAb58jTk5VxJFCx2d8hmli6G\nBctxaAswXPxFtdnv5jVYeVxoCT7J9cHTVyZOzkhLgrrVFvQGWN3mOcZDzeHUwfd4uqgxIS8nBTwe\nL/p9A3tQZeW7TkfiEord5caBk9ou7xsiOMc4nEy3D1Q7EtoWvQV8Ps9TK+2zayarf027ps3z8EOS\nLOxyHPj21fQuf7k2rvNk3MH60DEs6zexdyTONLXDxbDIliYjWxrbZoIhE6tRo0ZBrVZ3acYXjpKS\nEpSUlPi9t2DBAr/XL7/8cpf1Jk+ejBMnTgTc5rp16yKOgwws51uM2PVVA2QZYlTMHA+LKfFm3u4P\n0iQirPr5LfjTRwfw5aFm/Pb9b/HLOcUYe1VW6JUJSVAsy+LLL79EVVUVvvnmm4j7BweSnJyMTZs2\nQSKRwO1244EHHsC3336LmpoaTJkyBY8++igqKytRWVmJp59+OqJtB7oZ9fRH4vs1xQn0JFfdZvU2\nrenQ+R7xxMU25GZKIMuUeJsTAZ65jDonVt3P03Wlb5Xd6YbJ6vQbKCjUgALh5B/NeovfUNC+N5id\nV/cdiKDrZ4X+sEhufcVJArhs3SVW4W0jnAEXdEYbci0SSFOToOs0eatvc1HvccALb19dbtZby9Gk\nNfslpYGOgfMtRugN9oAtk9wMC6NPM0OT1dlpsIbu4wiUmHWHZXs2X1hHrZ/d6YaAz+9SK+irI0kN\n1Tfw4GktRoZZK9ax3Uj5zqtm6KblTaBjyN15QjYAlmBNizs5eqEVWenJsDsCj87IsCwa1J4WD4qs\nFL8EsPM8WM16C5r1FqSJRRHNexfu/F4A/B68hKujr2LH76Yng3REKmRiZTAYMGvWLFx//fVISvKc\nSMPpY0VILLjcDN7deRwcB1TcMw4pYhElVr0gEvLx0F1jUaBIx//+6xTWbz2Mx++7BtdQLSDph9as\nWYOdO3di1KhRKC8vx7p16yAWR+fppETiuQF1uVxgGAYZGRmoqanB5s2bAXgGeVq0aFHQxEqWKQk4\nPHZnHTcbofoudebpc+L/ntHqhNHqhLbdBkOnvjdmmwtpl+esUbda0agx4+oRgQc98J0E9GyzEdcW\nycIeBKC3neZNVmeXZC7auk1+guxksJv/Zp0FHCKrpWwzOWCxu8K6geSh62AQgbjcbLdDoHdwuhiI\nhHzweDxvou5N6n3KpUFl8rtxZznA5rhyE92T2ppoOtNoQE6qEIfO6JAmFgVtzXK8oQ2KrNA1tg4X\ngzNhTtbbU90lU744ztO8s7vBWbouH/q7cLoZ7/d94mLXCYO7TKQdxtcbtM9oL7SZHGgMMRFyZ/Vn\ndXAzHCYWXTkO+mLS9bDmsZo5c6bfe7EcqpKQYKr2nkezzoKp1w/FOKpZiZo7rhsKeZYEf/pbPf68\n7XtKrki/lJGRgY8//thvqo9oYVkW5eXluHjxIhYuXIhRo0ZBr9d7pweRyWTQ6/VBtxHoCbrvk3yX\nm8XR81c6yUd6qVXprbjYzc1H56QKAI6c13v7Jp1XeW7S2wPULHS+0bcHaaYXiDHSJpABtJkcsU2s\novgkW9PW/ffQIVBTvnazI2gTyE4bgLY9dJLerLPAbOv+ZtfudOPQGR2y08UBB0PwLRWtwf/z7E63\nX5NGvTG+DzlbjXakJ3seRvje4F9Ud/0uTDYnTLZwj8vgx0aw8g1HQ4D4ukTAcd7mneGI9GgO1Jy3\nJUjNcF9xuRmIhAK/qRPC1dFs0OlikZmajHZLbM8hHUImVnPnzo15EISEo0Flwj/2X4Q8U4x5dxSG\nXoFE5Orh2Xhi3oTLyVU9Hps7ARMKKbki/ccvf/nLmG2bz+djx44dMJlMWLx4Mb766iu/v/N4vJAP\nHXk8+DV364zh85EkFiHpcr+XrKxUWF3h3yK129xBtx9IxwAi0nSD9zPbrKFv7uXydFjdHIyO0M1+\nDHYm7Li6Wy47O7VLrL7URgfGj8gBJxRAauj+qb5cng67ww2pytzlfWlz1xvcjLQk8AShB/bxHYjl\nWKMh5P5mZqXA0ilhFQh4ECUH7/PUsd30dAnCKHqwCH7MSVLFkKZL4MblMrhctnw+DyzLeaYDCLL/\nbT045kKRydIg1Qa/qc/IEMMNHlIlIoguJzZuhkVqmtgbT8d3Es73EYxIyA848EzHZ+jOt3q3L5Ol\nBTyOOq8T6BgOJiVNDGl6eAmcgwPyZOmQpnet0YykHHgioV9ZutxsyH2LllSJCEKxCMdOG1CYn9Gr\n7y87OxVmFwuWz0euPB1JotgO1BUysTp//jxeeOEFqNVq1NTU4OjRo6ipqcHjjz8e08AI8cWwLN77\nxwlwHPCTu8b6zfBNosc3uXpz+/dY/pPJGCoPf/QfQga69PR0lJSU4OjRo8jJyYFWq4VcLodGo0F2\ndvC5g3jgBW0K2NYm9Pt7qogfVtPB3ugYNbLjc/StwrA+U6s1obXNEtX4pOndN5U8YrLh3MU2XD0i\nK+AyRpMNYgEPbjcbNCat1gSHk+myjFZr6na74fAdfTOcdQJ9t6EmwPUtn2iVu15v9m7Ltww6YuEY\nJujw7bE4PrW6wN+FLwHHwmh2wO10eWsmpOkS7D3YeGU7nY7tnhIJ+N2OVtfQ2Hr5d2D3fmaozwtn\nmc7O+exnKCfPuSDiuC6fEez3FQjnZry1elqtCa4Qv61oYt1unLnghtFkw5FTjl6NFqjVmdHWZoXR\nZIdOZ+627120RqkNOS7pihUr8P/bO/P4qKq7/3/u7HsmmTVkEggJSxJIUFARxZQEAhgIRECDldZo\nDfappYLVR8WFn/AALu3PLo9LiqX6o9ZqUagGixo0ERFxASKrIBASSDLZJ8kkme3+/pjMZCazZ9Yk\n5/168SJz59xzvvfcO/ec7znf5f7774dYbG1w6tSp+PDDD/2qvLq6GosWLUJBQQHKy8vdltmyZQsK\nCgpQVFSEU6dOAQAaGhqwZs0aFBYWYsmSJXjjjTfs5Ts6OlBaWoqFCxfinnvugU7n28aYMPI58O0V\n1DZ24cYsNTInBJf4kOCdrAkJuG9JJgwmC17Ze9Ilag+BMNZoa2uzjzV9fX04dOgQMjMzkZeXh/fe\new8AsGfPHqeci+64EmA0u0BN7kKCn/5QZosFTX5GMAsV+n4jTl70bBJ0rq7Dp59Pd68Rp2sDNyuK\nBCHO3xowjoEpbApeqHNi+UOo+iFUOc28yXO6th1tDn7eV/yIUnj4VKPPMkMJJOiC0WTxuMMWDKFO\nMOyNcLkcRcKTyadi1dXVhdzcXPtFMplMsNm+Ew6azWZs3rwZO3bsQEVFBSoqKvDjjz86lamqqkJt\nbS0++ugjbN68GZs2bQJgDdX++OOPo6KiAv/85z/x97//3X5ueXk55syZg/3792P27NkeFTbC6KFN\n14d3P78AIY+FO/LToy3OmGDWVCXyr9XgSksP/v7xD9EWh0CIKs3Nzfj5z3+OZcuWYdWqVZg3bx5u\nvPFGlJWV4dChQ1i4cCEOHz6MsrKyoNoZ6ssUSCS14TJUefN37vT1GW3Ics4Egr7fszmUyWJBT693\nZfTExVa34Z973OTaiTTRDv5w6pKfSXDDTKcfz73tOe3zEoHum7NatzmUAsXbXRmq8PgbLj1QAvEB\nNJotOHreNRR7oDj6jkVSqQIAFoMKaV9GUn6f9lQsFgsGw+CKRVNTE5h+2BvX1NQgJSUFGo0GAFBY\nWIjKykqkpQ36xlRWVtpD4ebk5ECn06GlpQUKhQIKhTUxmVAoRFpaGrRaLdLS0gKOwkQY+fz94x/Q\nbzDjzlunQhIBx0OCldvz0nH+SicO1jQgIyUeN06LjSSrBIInWlpasH37dly9ehVvvvkmzpw5g6NH\nj2L16tVB1TtlyhT7zpQjUqkUf/vb34Kq25HhhJgOlh/qOpE5YTAQUL2PCHKxznD78Fyda1S0cBJt\nJcpGLAYjq/NjZ9emUPkKZX/2cmzuTgZKBKKEu+D4jFroyD6xJi+J0wPFMQhHTOxYrV69Gr/+9a/R\n3t6OP/7xj1i9ejVKS0t9VtzU1OQUmUmlUqGpqcmpjFarhVo9OFlTq9VobHTeIq2vr8fp06eRnZ0N\nAAFHYSKMbI6da8HRcy2YnCzFzdNDH+mL4Bk2i4H7l2eBx2HijY/Ooi3KEZ8IBF888cQTuPbaa9HV\nZfWtmDhxIt58880oSxXb6PuNXlf9xwrucgIFwsUGHU5caPU7HDYhOPyd5vf7SF7tD2YvzwYjxDN1\nFsP9tNybDJHg6zNapyTO4cYQQheEVl2f3T/NV2LtUOBzx6q4uBjJyck4cOAA+vr68Nxzz2HWrFk+\nK/Z3FWTo9pzjeT09PVi3bh02btwIoVDotg1/2wmVU1q4IPK50mcw4a1Pz4PJoPCbkmugVErcliN9\nFxze5FMoxFhbPB1/+Ocx7P78Ih6/+/oISjYoQyxD5IsdtFot7rzzTrz99tsAAA6HE5Mr8rHGmRj1\nORpJ2PIBtXb6twDVGwOmhyOZWPH9DfUujlTMRUtnZAJExDLOCnHw73CzbQcsFvJYAcCsWbP8UqYc\nUalUaGhosH9ubGyESqVyKqNUKp12qBzLGI1GrFu3DkVFRU4OwYFGYbLhGLEn1lAoxEQ+N7xbfQHa\nNj0W3ZACPpNyKwPpu+DwR77sCfGYrInDl9834JMvLyInXR4h6UZH/0WTkSBfKGEymU6LdaEKbtTQ\n0IBHHnkEbW1toCgKt99+O372s5+ho6MD69evx9WrV5GUlIQXX3wREon7BaBYJtjdGsIg/u4suMsr\nFg16wpTQdazAZTOh7w/h7yc2LERjCqM5eCXa9o6LxDKbT1PAFStWuPxbuXKlz4qnTZuG2tpa1NfX\nw2AwYN++fcjPz3cqk5+fjz179gAAjh07BolEArlcDpqmsXHjRqSlpeHuu+92OifQKEyEkUlTmx7/\n+aoW8WIuim6aEG1xxjQURWHNwilgMiirv1uMrBQSCENZsGABnn76aXR3d+Pdd99FaWlpSHIxegqo\nRIIpEYYSiYAjoaSzOzYUvJGKB8u9YRMrvnejlUhYMPjcsXrkkUfsf/f396OiogJKpdJ3xSwWnnzy\nSdx7772wWCxYuXIl0tLS8NZbbwEASkpKkJubi6qqKixYsAB8Ph/btm0DAHz77bf497//jSlTpmD5\n8uUAgA0bNuCWW25BWVkZHnzwQezevdu+QkgYXdA0jb9//ANMZhol+ZNIzqoYIEkhQsF1yfjwq8v4\n4NAlrMglCZoJsUdZWRn27t2Lzs5OVFVV4Wc/+xmWLVsWdL3uAirZcjuSYEqEkQyXzUSEUhONShwj\n54WCaIfcJwSPzxnrDTfc4PR57ty5fkdYys3NRW5urtOxkpISp89PPfWUy3mzZs3CmTNn3NYZ6ihM\nhNjjm7PNOHGxDVkT4jFriiLa4hAGKLopFUdON+E/X13GnGlqJMpc/R4JhGizbNmykChTnnAMqESC\nKRFGOi06olURxgbxIm5E2gl4K6CrqwstLS3hkIVAgL7PiDc//gEsJgM/LZhCHM9jCC6HiZL8Sfjf\n907gnwfO48FVOdEWiUAAADz77LMuxyiKAk3ToCjKyfIiGBwDKolEIpf2/HlfScT8kMgyWiH94x3S\nP94Z6f0TF8eDKYyeQCO9f4IhXsqPSDAnn4rVihUr7H/TNI26ujq/wq0TCMPhX5/9iM4eA4pvmQh1\ngiDa4hCGcO1kBTLGx6Pmx1bU/NiC7LTIBbIgEDwhEAjsSo23SLPB4C6g0nCCKemI3ZVHJGI+6R8v\nkP7xzmjoHyZtgS5MfnqjoX+CgechCJqNUCldAflYMZlMJCcnu0T3IxBCwbn6Dnx27CqS5EIsviEl\n2uIQ3EBRFFbnT8LTO4/grcrzyJyQABYzxN67BEKA/PrXvw5r/Z4CKtmCKZWVlZFgSgQCIWiMZhKh\nczgwKMpnsmiNIjLuCwH7WAVCdXU1tm7dag9eUVZW5lJmy5YtqK6uBo/Hw/bt25GZmQkAeOyxx1BV\nVQWZTIb333/fXv5Pf/oT3nnnHfvKoC2oBWFkYzJb8Pp/zgIAfr5oKpmsxzAapQg/uSYJn353BQe+\nrUfB9UQJJsQG3d3d+N///V989dVXAIDZs2fjv/7rv1zM9gLFU0AlEkyJMNKQCDjQxUiod4IroQ6G\nQRiEw2ZGpB2fitXs2bPttupDoSgKX375pdvzzGYzNm/ejJ07d0KlUmHlypXIz89HWtpgNLGqqirU\n1tbio48+wvHjx7Fp0yZ7YscVK1ZgzZo1+O///m+XNktLS4k54ihj78GLuNrSg59ck4R0TVy0xSH4\noHjuRBw51YS9X1zE7Cw1JEJOtEUiEPD4449DJBLhiSeeAE3TePfdd/H444/jj3/8Y1D1eguoRIIp\nEUYSbBZZtIwmIj6bKE9+IOSxA8qxRlFUzIRU9KlYlZSUoLOzE3fccQdomsa//vUvSCQSJ98rd9TU\n1CAlJQUajQYAUFhYiMrKSifFqrKyEsXFxQCAnJwc6HQ6u736rFmzUF9f77Zud0oeYeRyprYd+76s\nhTyOh1U/IWG8RwIiPhvLbk7Fm5+cwzufnce9hZnRFolAwLlz5/Dhhx/aP8+cOROLFy+OokTBEy/i\njrjcSNFmskYKiZCDb85qoy1KzEFFJEWq/8QJueBzmWhs0w+7jqkp8Thzud1rGTaTGZJEs8HCY7NC\nplixGIxhJfcW8djojvHE0NMnynD4VKPf5WPpqfa5dFFdXY2nn34aU6dORUZGBp588klUVVVBo9HY\nlSZ3NDU1ITEx0f5ZpVKhqanJqYxWq4VarbZ/VqvVLmXcsWvXLhQVFeHxxx+HTqfzWZ4Qu3T3GvGX\nD06BoiisLcoCn0tyVo0U5l2bhBSlCF9834hz9R3RFodAgFKpRFtbm/1zW1vbiPcJFvHZ0RZhRKGK\nF0Aq5hJzcg/EWgJaDpsBbpAmWiNprT2U/T/cwDwTEiUYrwp/dLzhkiDmRVuEoPA5i+3u7kZbW5vd\np6mtrQ09PT0+K/b3hgcawWn16tX41a9+BQB48cUXsX37dmzdutVnO5EIsRgMY1E+mqbx2hvfoL2r\nH3ctmorZMzwr6t4Yi30XSoKR79d3XIOH//Q5/lF5Hi+uzwUzDJOZ0dx/kSDW5QslUqkURUVFyMvL\nA03T+OyzzzBr1iw8++yzQYVdd+fz29HRgfXr1+Pq1at2/yqJRBLKy7FCUaBAxdyEOFYZrxKDQdJ0\nRJzhmrhRoEb1/UpVS9ClN9rzhYVSCWQyKBiHuQkXy6lsUlSuPrECLgv6flMUpAkcn4rVz3/+cyxb\ntgzz5s0DTdOoqqrC2rVrfVasUqnQ0NBg/9zY2OiycqhUKtHY2Oi1zFBkMpn971WrVuGXv/ylT1kA\neA2xGG0UCvGYlO/Ad/X4ouYqJmvi8JPsxGG1MVb7LlQEK59MyMbc7ER8XtOAt/5zOuSBLEZ7/4Wb\nkSBfKElPT0d6err98+233+6Uz2q4uPP5LS8vx5w5c3DfffehvLwc5eXl+O1vfxuU/O5gMSnMnKIg\nZm2E2IYGmAwGzMMwTQtmjh9rpo1DUSUIYDR12z+HSokU8diIF3NR19ztu7AbYvNlMvkAACAASURB\nVFWvEnDZ4HECt1yKpevxKf1Pf/pTzJw5E0eOHAFFUbjrrrswZcoUnxVPmzYNtbW1qK+vh1KpxL59\n+/D73//eqUx+fj527dqFwsJCHDt2DBKJxJ7F3hNarRZKpRIA8Mknn2Dy5Mk+ZSHEHicutOLNj89B\nLGDjvqVZYDBi6FdBCIiVP0nDdz80472DF3Fdhgrx4shkNycQhhKusOvufH4PHDiAXbt2AQCKi4ux\nZs0avxQrpVQAbYd3f5I4IRedPVa/KgoIq1lbsLth/oQ5DhVsJsN3OGoylISdmZOV6NIb8IODCTgN\nYEa6DN/+0BxwfcE+37Hid+/Jj8tROqmIY9+9CoZpE2UwGM1+K1aOCihFxe6O1WiYP/ilFmo0GphM\nJkybNg0A/Fr9Y7FYePLJJ3Hvvffaw62npaXhrbfeAmANipGbm4uqqiosWLAAfD4f27Zts5+/YcMG\nHDlyBB0dHcjNzcW6deuwYsUKvPDCCzh9+jQoioJGo8Ezzzwz3GsnRIn65m68tOcEGAwKv16RDVnc\nyLanHeuIBRys/EkaXv/PWbz+nzP4zcrsmH1pE0Y3vb29+OCDD3D58mWYTFazkWBMAL3R2tpqXwiU\ny+VobW31ec4NWWr8cLHFaxkeh4WM8fEBOW4HQ7DBtOKEnJAE1xDxIuNLFkvBQAKNfBYKgtVBxAIO\n2CwGWEOiC9I0wGYNz1dKKnI/mfZHaedx/GuTxRy+2dxQMlLicdpNsAx5HA8Nba6uMo6Knz+LyONV\nYtQ2+bY0CCR8uOPiCYOK3X0+z3J5l9i2ExgLJoM+Fauqqio89dRTYDAY+PTTT1FTU4OXXnoJr7zy\nis/Kc3NzkZub63SspKTE6fNTTz3l9tyhu1s2nnvuOZ/tEmKXzu5+/OGd4+gzmHH/siykJ5HQ6qOB\nuTnj8PUZLWp+bMXnNQ24JWdctEUijEEeeOABMJlMZGVlgcvlBm0C6C8URfnVDo/LgkwmQrve88Cf\nOk4ChUIMibgTACCTiaCQCe2fAetENF7CBQ3g0lVrAKc0TRziRFx8dyYwk0EGg4LFMvzZNpvDhIQK\nfkdNLOSgq8cAiZjvuS0WA0aT9x0rpUJsvxeOfQZYJ6ITEiX4wUcEuUghEXLA7Aksp5S3/vEHhVwI\nk49JarJKDJPZgoYWVyVBKuZCoRCD090PSevgzouQz3Z6bv0lPl4AlUoCyRXXQGT+KFY3ZKnRpTdC\n0mlVlj31T0ZqAk5fbHP7XaCoVBJcae9zOS6TCdFjdH4+FQoxugwWdBssA2VEdlk9kTlJCSaHjZaO\nXgj5bPQM8V2bmBRnN6O29bdKJkBTq+/IihIxH4lqCdp1/Wjuir18ZvEJQvu13XwNGzXnrQtRQj4b\nrF7PKguPw8TMDBWYDArVR6+4LRMpf2OfitUf/vAHvPPOO/bkvtnZ2bh8+XLYBSOMPnR6A1745zG0\n6vpRPDcV12eM7GhdhEEYFIV7bs3Ak68dwT8qzyFzfDzk0uAmAARCoDQ2NqKioiIibclkMnt6EK1W\naw/w5Attcxd0XZ5NgdraWeAzKXR398FC0+js4IJpsUDCY6J+wOwnVSkEn0mhs8dgr4tLxaGvp99r\n3e5w9IvhsVnoMwa22tszcH68iAt9nwn9puFtC1hMJjBYLK/y+2MK2NIyaBol5jJxxeEzh8VEG5fh\n0sYEtQSXGiMfYZjPorxeb+b4BOh6DKgfuAaJmB/w/bWRJBeBxaQgYjOg7+n3GqZbnBwHgIGzbtqi\nLBY0N3dBpzc4yUKbzNbjA8fYTCYoCjD4eB74LArNfBZMBqPLToM/ilWXrhcWCw1dV6/X/unq7EUc\nn4U6bfA+p+1tPW7baecyXY43N3ehzaF8a2u3z3vY0tKFjg49dF19Lv0yO1NtrxeAva44nmvbQ7H1\nT0e7Hrpuz++K2ZlqXGnu9mhmGEySaQGXDX2/6y6t7TdIKYROfsEs0Gjr6oPJYHJ7ng2pUoz2gd1C\nx+uSSXho1fVBzOf49DcOleLl1zKTzafJBptNwr8SAkOnN+D5fxzFleYe5F+rwZI5E6ItEiHEJEh4\nuHP+JPQbzHit4nTE/C4IBBtpaWl+pewIBXl5eXjvvfcAAHv27MH8+fP9Om/o6vNQbHsJ01JlSJKL\n7D4HjuZS4UpLkTou8KiGNjOnYGViOuz4hcrBP1npGl3MnZd7tELa20Rxd71sJhMSIQcapQjyOM+L\nVHFCLhQD3wu4LHA9mOMlK0VIlAnBZjEwa6rSbRl/mKB2nXzKJDykJVmfHVvodKmYg2snK/yuN1np\nWm+Sws39cwODQUEpFXgvRFnNAQGrCab93BDuaIeqJufd79DJd+P0RMycbL33EiHHlxAev/Jmgjg1\nJd5rtWlJEpcyDIqCOkGAGzJUEPCG9x7x5JvFZDCQkybHlBTpsOodDj4VK5FIhObmQWfEr776Kjwh\nZQmjlqFK1Z0LJhEfnFHKnGlqXDNJjrN1HfjPV2RnmxBZfvWrX2HVqlW4//77sW7dOqxbtw6/+c1v\ngq53w4YNKCkpwcWLF5Gbm4vdu3ejrKwMhw4dwsKFC3H48GG7VYcv0nyYP9tejQIeC8lKkfd3pZvF\ni8wJCYgXcXFdgJNneRwfXHZogmQIhqFkhSNVgzuGurh4UkRsXDvJf+UgUGyeLhRFIXOC846n421P\nUYrcKh4AwGExkJYUh/SkOExOliJnkvcAYDayhrQn5vuYaA/gToGepJEORnIbeCRt1zZzssIv5WVo\nkWSlGElyoUs5f+VkMxku91Yex0NighBp4yRgM63fDXciPztT7XcuKEf/Jg6b6fP3Ea7w8xw2E+wB\n37hg5mBCL33mKxAJg6I8+tR5k2m44tKgweeyIprXzucT9dBDD6GsrAxXrlzBXXfdhUuXLuHll1/2\nq/Lq6mps3brVHrzC3cCzZcsWVFdXg8fjYfv27cjMzATgPm8IEMHcIYSQ0Kbrw+/+eQwNrXqiVI0B\nKIrCzxdNxcWGI9hd9SPGq8UuAziBEC4ee+wxzJ8/H5mZmWAwgp9A2PDk8/u3v/0t4LpYTAZmZ6o9\nBqdgBhkhVSLgQJLi3+QTGFwPp+A7dLW7YAs23Y6iKPv0UcTnBOVATg2JqDFOJsTV1h4o4wVOpn3D\nQSrigsVg2E3h5FK+xz6nQHldnfc3yIA/SAQciAUcdLkxseKwmUiSC9FZ59l/yduuljuG/i5SE8W4\n2qJHspscQm7P93B8qKrPZjHBYTEDNjEdJ3PegRLzOUhPigOXwxxWYBcK1t2L8QM7blmp8dD3maDv\nNwWcf8vWdQopHz19JrR09g424gbH9Y9I7o6mJkpwscG7iaunqKAGN5E+uGwmJqgliBNyPD73MTe9\ni4LhjFcVzmKxgMvl4vXXX8cLL7yA++67D/v27cP06dN9Vmw2m7F582bs2LEDFRUVqKiowI8//uhU\npqqqCrW1tfjoo4+wefNmbNq0yf7dihUrsGPHDpd6bblD9u/fj9mzZ6O8vNzPSyVEmsY2Pbbt+hYN\nrXoUXJdMlKoxgkTIwa+Kp4NBUXh170m0dAQfWpZA8Aej0YinnnoKK1euxG233YbbbrsNxcXF0RYr\nMAJ4R9pWn9mhWo310TSH5dqObVLmKPZwXvOezpmskSJFJcY1kxTuTft8wGI4y8xiMjA9TeZ0zJMZ\no7dV7swJCVAn+DA/C5CJid4XiYfjt5qiFGNSkm8zKA6biXRNnN2Ub7jYTLLEAgcFwo/nYWgR21wh\ne6IcU5LjkZWaAK6fEQDd1j/kAeNxWEiQBBeRmMVkeL1ncQLnBQ7OwA5apKzkeWwmJms83/trJikw\nc4r7Hdk+NwsjDIpCvJgbUeXJWyh9f35/0XBI8Po2ZjAYePjhhyGRSOwR/vzdHaqpqUFKSgo0Gg3Y\nbDYKCwtRWVnpVKaystI+6OXk5ECn09nNDmfNmuW2rQMHDtjPKS4uxieffOKXPITIUtvYhW27vkWr\nrh+33TIRd+SlE6VqDJGWFIefFkxGd68Rf37ve7erXwRCqJkxYwbOnDkTbTGCwhjAb0XAY2NKcjym\nT5T5LgxgRroXMzHK+/yX48ZkTuIwcaRg9bUBhkyqg8S2Y2Sb8DuaXw3XZIrLZg6a4Xkp56n6eBHX\n6do9kTYuDjy2Z8OgofU7huJ21/TU8d79V2zwHRKsjpMLI5rSZLxajGmpMsgd2pSKBvtqnEyImZOV\nLrujYiHHbZ8KeKyw5jYazhPkaWfX8ej0iTJMGfAlst1n28IEk+l/q34/4m4K+lIquGymx8UDd+fa\nQtt7Ndnz0aY74rz4ew39/Tvij2IsCeG7yF98LnONHz8edXV1AVfc1NSExMRE+2eVSuXiVKzVaqFW\nq+2f1Wq1T8fj4eQOIUSW07XtePbN79CtN2JNwWQsmTOBKFVjkJ/MSMItOeNwuakbOz44FVRIZwLB\nH44fP46VK1di6dKlWLFiBVasWIGVK1eGtc3q6mosWrQIBQUFQVlQ2JSSRJmrX4k34sVcj+Zq01Jl\nTqa4PA7Lp7mfOxLEPGQ4TOpFfDYyxydgcrLDajhFIUUlQvZEWcBmad4YuhuXKBMiSe7/zpVjniPH\nK/cnKbIvBdHXuJYgca8QJCYIkTk+cBNpf/3QhrOzFyoYFAURn+3UNykO/mEpKjHYLIZL/zMG/MyS\nFSJMUPu3gC/2odxKHRQylidlJsi5ie10q0ndIEIe264oqxMEiBNw7GaI6UlxkEv4mOkmuIft9xqq\npMc2H7J4D35NnhjaepLc/X1xzT/nvT/ddfcEL7t+42TCgWdi8BmSx/ERJ+T6NKtMVoqhiEJ0Yp8+\nVt3d3SgqKsLMmTMhEFi33SiKwh/+8Aev5/k7kR768AQyAfc3dwgQufj1w2W0yPdFzVX837ePA6Dx\n8F2zMPeapPAKhtHTd9EinPI9eOe1aOvuxzdnm/HPz37Er2+fEbCSPZb7LxTEunyhZOPGjRFtz2by\nvnPnTqhUKqxcuRL5+flIS0sLuK5JGikmhVg+EZ/tEp1z6ITWmwmfiMdGd58RaUkSMBmMQX8qUC5R\nxShYx2TBwEQrJ02Oq609aB6GKTDl8YMVmwkkj8PyGoIZACYlS3H0XLPLcVvIaLYb80YAmJQkRZzI\n+RptoemDXSMaJ7dG5+sYkqg4VMuPwfrphRpvr/yhu47+RgIEXANwDCVJLkRTuzW3k6edmWB7iqIo\n5KTJwWYx0NrpmtsKGEj6PWSBI13jPoiNL2XRH+IEHHTqDeBzWOBymLhmksKtGa+/UKA8KutyKR/d\njYO/QTbL2qMMioJGIcJlP8LbezM/5XKYLs+ETMLzaxdTxGNFZVHfo2K1fft2PProoygqKsLixYud\nQqz7I6hKpUJDQ4P9c2NjI1Qq57xFSqUSjY2NXssMZbi5Q3zFr48mCoV4VMj32dEr+H/7z4LDYeKB\n27IxVSMJ+3WNlr6LFpGQ75dFWXjuH0fx8ZHLYIDG7fP8Nwsl/RccI0G+UHLDDTeEtD5fOJq8A7Cb\nvA9HsQoXflsSDYSvcCQzNQFmMw3mgJ+SN31i6E+az2UhbVyc34qVp500dzqCMp4Ps9kCuZTvVmly\nhMtmQiHlu8gxcZwErbp+yKXuzYncmc9xWAz0Gix+mzY7XhObyYTRbD3Pn9ef37rbMOeNQh7LqV/C\nOf/09r4X8sOTOgBwDgvO8BSgZMjhGelyXGzoQmfPoNKbnhQHMZ+Do+fdP2s2H71wRJ6jYPUzq7nQ\n4vc5U8bHw2iy2BWWYfnNOTyA3p4NZTwfJpPFnmuNzbIqcgyK8uu3P9QPLRTYcmVFKtLoUDw+0YcP\nHwYA3HbbbVi+fDn27NkTUMXTpk1DbW0t6uvroVQqsW/fPpfISvn5+di1axcKCwtx7NgxSCQSu5mf\nJ2y5Q8rKygLKHUIIHzRNY8/nF/H+oUsQC9h4cFUOUn044RLGDnwuCxtuz8H2v3+H/UfqwGUzsezm\nVGIeSgg5Op0Of/nLX3DmzBn09VlXjymKwhtvvBGW9tyZvNfU1ISlrVDhGBEPsEbJa+7shZDPcppA\n5aTJwaAoMFiDB5MUQnT29EMTgKnZOJkQZguNBAkPIj4Llxq60GswQchjo6ld75Sg2B3u3hMMigpo\nZ2OwssE/eRwWkuT+TerjRVxQFAWz2YJew/B2hCRCNlp13hWyUL0SWQO7E95MpSiKCkjxVUj5TsEC\nQvX+Ho6f3MzJSph8JIq2ESfkoq/f5Hc7PA4LCWKuk2LFG9j5seOhKk/KW7D4ExLeZuoo4LLBoKhh\nKVMZKfF2ZdRxZ1voYu43CIOioJYJ7IoVMKjIuVscsC02JCvFMBjNYZkrTkmWoqfPGLX8dGFbKmCx\nWHjyySdx77332sOtp6Wl4a233gIAlJSUIDc3F1VVVViwYAH4fD62bdtmP3/Dhg04cuQIOjo6kJub\ni3Xr1mHFihUoKyvDgw8+iN27d9vDrROih8lswRv/OYuD3zdAIeVhwx0zoIoPbaQkwshHLODgoTtm\nYPvfv8O/v7iEnl4TVi+YFLZ8HYSxyeOPP460tDRcvHgRv/nNb7B7925kZWWFrb3hTC5tu3QSsTV0\ndpJChH6j2efuHU9vgKRF71SHv0jqdfbzJA1dMJkGJ6XXZSdB19MPqYgLk5mG5Kp1hzNF4xooQQEg\nbbxzoAzbdchkIijcKDtDZVWrBk2gzBYa355pQm+fCVKpANp2PSRiPphMCmYzbT/f206Arf2ZGVZr\nF3eTqTa9Ef1mq7+Vp76z1QNYFRzHcra/T15oBc3shZDPdrmP7lAoxIhr0YPTb0K8VAAjTTldU5fB\ngm6DBUwmBYVCDKPJDEmDdYLKYTPcyioRO/uMxEsFLuUUAARCHiRCDng+cibZ5FfIxS4r/BOTDWjp\n6IWAx8J1mWqn77g9gT2P9nYGyiZIu2AyW6BWSRAXoP+PO9p7TWho6bH3D5tl7T+5XAQL7VkZ7qeB\ndv1gBDyFQgwOn4PWnkHzNrlcBLGAY78GuVw0mLfLAWm8AA0dfdAoRX7/RufMYMFkpnHmUpu9fQBo\n0vXDTDEgFnCsv9sh/WfDdnxqmgJCEQ+KeIFXhcL9M2WtIz11cGMjrq0XDJY19P+c7ESwhwSvcZTH\naLLY3xuO9feaaXT2OkcXlMtF4HFZw7JWsLWZkCC0R8h0vCcCLwpgJPH4i+vv78f58+dB07T9b0fS\n09N9Vm6LJOhISUmJ0+ennnrK7bme8oZIpdJh5Q4hhB59nwmv/PsETlxowwS1GL9ZleM1ugthbJMg\n4eGxu2bi928fQ+V39ejuM+LewoyIJu4jjG5qa2vx5z//GQcOHMDSpUuxcOFCrFmzJmzt+WPyPhSb\naaauy7pTkJkcB/CYPk02u3uN9nMCNe+Ui9jgcVhobu6CrrPXvmMlFXLR1mqdyLf0GWGh6YDb6Onp\nh9liQXs7G5xhBDfu7OxFn8EEzsC8V9fV67SL1drS7XUnwCZvb3ef0/+OtLfroevqRT/bcz+nq0Uw\nmS1o6+pHgpjntpy+p88qH21xuY/uaG7pQmtbD0wWCzjUYNmWli4wGQy0t/fYr7e5uQtGk8VeZrzK\n1YxXoRBD39PvtOPIZ1FuZaUAdOl64esuDsrk2s9xXCaaTWYoxAKXNgJ9HoeWTZHz0dljgKHXgOZe\n19xdgdI+4Etla0fM5/gll+3ZsGE7Z7xCgO8vWIOjtbR0o4/PduorTztCGRoJKMr9PfEEA67909Gh\nh667Hxajyfq79dDXtuPtbT0QsRno7e5z+xsAPJuGmwxGl7o7O/To7jMiXsRFx0Dfumu3udmqILuT\nr62tx+X30dra7TU3nDdsdbW2doMeyIvmeE88pU3wl1CZpntVrBwT+g5N7nvgwIGQCEAYmTS16/HH\nf9WgoVWP6RNl+OXyLLcrOASCI/FiLh796bX4w79q8NWpJuh6DPjl8mlR27InjC44HOvCDpvNRnt7\nO6RSKdrb28PWnj8m756YPlEGc4QiZSrdWBEkJgjtUcpsMCgKCWIehAH8HtPGSdDQpkdCCEJiJ6vE\nODlUUQnhpra3iIgcNhMcNtPrqrdGIbKaPvmZv4oC7EpQW5frZHdo4DfHDVBP0SEnjpPgh/oOANZo\njZrhmET6CZfDRFZqaBK8p41zzpHF47DCMmdgMRhIlAn8jgbnKfqekMeGOkGAxjY9+Fz/FYGQm7gP\nVKeUCsIWlGT6RJmL3KF+M/HYLBjNFruZ6mjG41NNFCeCJ05dasPLe06gp8+EguuSsWpemt25mUDw\nhZDHxkN3zED5v0/i6LkW/J+dX+OB26a7TPIIhEBJTU1Fe3s7li5dipKSEohEorCaAnoyefcHb34L\n0cQphLofJEh4QSVaHa8S42xdOxLlAjh6zdgiEoZiKhmqSSKLyUCKyvN7SikVgMthom4gEprjZNUx\nOuNwQt67I9B75ZUwW2WHO+y1VMRBY2c/VAmCgPzvBF52OSaoJRivEseEP/DEceHzW3d3ffYIoEFc\nu+PvbtrEBND08HPPOdXr5gftr89dJCBbDAS/MVsseP+LS3j/0CUwGRRKb52Kudnjoi0WYQTCZTPx\nq9um44MvLmHvwYvYuutb3FUwGTdPT4yJQYwwMnnhhRcAAKWlpZg+fTq6urowd+7csLbpzuSd4D/x\nYi5mD/jvdBmskyOappGVap2I+XofTEqS+ky4KuSx0NIJiIXhU2YnJkqgkPJBUZRdsfJF/0B0QW/B\nO2KVoWH8o02ChIfxmnh06QIP7+8Nx+cvQcxDW1efxxD9ocS6m9cftHlbrBAKk38um4l+o9mtaXAs\nPY1hfTr8SZy4ZcsWFBQUoKioCKdOnfJ57p/+9CfccsstWL58OZYvX47q6upwXgJhAG27Htt3WQMP\nJIh5eOTOa4lSRQgKBkWh6OZUrFuZDRaTgZ37zuDlvSfR3es9Lw2B4IvOzk50dHQgMTERLNbomJiE\nionjJGBQFJTxkU+c6QvnnFqUX1HWZHE8SH0EP1AnCDAlOR6pfiaeHQ7KeIHfi0K26xqagNif023n\naAJIkhwOYjHhu69AHW4JYCFvcrIU12eoIhJ0SaMUInVgx8wb2RPlmD5R5rXMcJAO5HAbmq8umkxO\nlkIjF7nklwMQU5pV2EYcfxInVlVVoba2Fh999BGOHz+OTZs24e233/Z6LkVRKC0tRWlpabhEJzhg\nNFmw+8A5/OPjs+g3mDE7S4W7FkzxK/wngeAPOelyPF16HXZ8cArfnNHifH0H7rk1A9PCMFgQRicP\nPfQQfvGLXyAjIwMdHR0oKiqCWCxGW1sb1q9fj9tvvz3aIgaNgMcCj82CKiE4hShBwsP1QZjujUQo\nivIroehwGTrR1shF6HKzQDQxUYJ+o0PgiWEoAmwWEzdkqKK+sx8n5GC8SowE8eh5luL9iE4YqUi2\nTAYDKj98+cI1F9MoRYgXc4Pzfx5QdlghchUR8tgeTag9+cpFg7DtWDkmTmSz2fbEiY5UVlaiuLgY\nAJCTkwOdTofm5maf58ZSB45WaJrG8fMteOq1r/C3ilNgMxm4b2kmypZmEaWKEHKUUj4evfNarMid\niC69Eb9/+zhe++AUdD3BR4sijH5OnTqFjIwMAMDevXuRnp6OiooKvPfee9i1a1dQdX/44YcoLCxE\nRkYGTp486fTdq6++ioKCAixatAgHDx4Mqh1fMCgKMybJPQY1GA3YJq3hctIPB7OmKDFritLpmEYp\nQsZ4a7h6mz8Vk8GAMl6AZIccYGIBGxwW074r4a/vVSiVKnkcHywGI2CFgaIoJMqEzvmdRiCcAbM+\nDouJKSmuKQbGKgyKgljACepZU0j54HNYSEuK8114mKQmSsDjsCASxI7PathmyP4kTtRqtVCrB3Mj\nqNVqNDU1QavVej13165d2LNnD6ZNm4ZHH30UEglJRhsqLDSN4+daUHG4Fheu6sCgKCy5ORULZ2li\n1tmaMDpgMCgU3jgB01Jl2PnhaXxxohHfX6zEHfPSMTsr+iu0hNiFyx1caf7222+Rn58PwDqmMIJc\nLZ08eTL+/Oc/u6QGOX/+PPbt24eKigo0NTWhtLQU+/fvD7q9sUySUoT6hk4kKUaO8ujLdyRtnATn\nr3ZCHue6s8NkMHDtZEW4RPOL9DBOekcCfC4LU1PiISQLxgExLdW3RQmXw0ROutxnuWBQxQtiLndq\n2EYAfydBge4+rV69GpWVldi7dy8UCgW2b98+HPEIQ+jpM6Ly23o89doR/Ond73Hhqg7XTJJj0z3X\nYW1xNlGqCBFjvFqMJ38+C7fPS0e/0Yy/fHAKz755FHXabt8nE8YkFEWhqakJfX19OHLkCK6//nr7\nd3197nO6+EtaWhpSU1NdjldWVqKwsBBsNhsajQYpKSkui4eEwGAxGZicLB1V440sjocpyfFOO1Ue\nIWtHUUEq4rokwCV4R8RnkzQpHgibiu5P4kSlUonGxkanMmq1GiaTyeO5Mtmglrxq1Sr88pe/9Eue\nUCX+ChfRkM9osuD4uWZ89m09Dn1/FUaTBUwGhbxZyVgxLx0pDo6+sdx/sSwbQOQbLmuWxGHBjROw\nY+8JfHWyEf9n5xHcelMqVhdMjSmH2ljtPxuxLl8oKCsrw/Lly8FisTBz5kxMmjQJAHD06FEkJSWF\npU2tVoucnBz7Z5vFBYHgSLj9uwgEQmwRNsXKn8SJ+fn52LVrFwoLC3Hs2DFIJBLI5XJIpVKP52q1\nWiiVVnvmTz75BJMnT/ZLnkAz1UcST9mww0G/wYxTl9rw3Q/NOHquBfp+a/ZqdYIAc3MSMSdLjbgB\nB06bTJGUL1BiWTaAyBcsaoUYa5dm4sZMFf7xyQ/44OBFHPi6DkvmTED+zKSorzLGev+NBPlCweLF\nizFz5ky0tLTYfa0AYNy4cdi8ebPP80tLS9HS0uJyfP369cjLy/NbDn8sNcaCohsMY7l/aJqGpF4H\nwHM/jOX+8YeR2j8ScSeA8MsfjvrNZgskVwfni2OdsClWnhInvvXWWwCAmhwxBQAAEU5JREFUkpIS\n5ObmoqqqCgsWLACfz8e2bdu8ngtY85ScPn0aFEVBo9HgmWeeCdcljBrau/px/HwLjp1vwenadhhN\n1qhECRIubs5OxHVTlZg4TkJ8WAgxS3aaDBnjb8Cn39Xj/UOX8Pan53Hgu3osvWkCbsxShyRHBmFk\no1Qq7YtuNoZaSXhi586dAbenUqlcLC78aS+WFd1oE+sLAZFAwmOCoii3/UD6xzsjuX90Xdb8W+GU\nP1z9Y7ZYIiJ/uAmVUhhWbz13iRNLSkqcPg91CPZ2LgA899xzoRNwlELTNK629ODbgV2p2sbBBz1J\nIcSMdDlmpMuROpDPhEAYCbBZDBRcn4I50xPxwaFLOPBdPXbuO4P3v7iEJXMmYM40omARwoujT3Be\nXh4eeugh3H333WhqakJtbS2ys7OjKB1hNKBRRDc/FSE6JCvFGEHBMAleIGFQRhFXmrtx+FQTvjnb\njKY2PQBr2NrMCfHISZcjJ10OpTT2kkISCIEg4rNRkj8JBdclY9/hWlQfv4q/fXgG71ZfQG7OOPzk\nmiTi00AIGR9//DG2bNmC9vZ2rF27FhkZGdixYwfS09OxePFiFBYWgslk4umnnya7/gQCYVgkyUdO\nJEyCd4hiNcLp6O7H4ZNN+PJkoz1qGofNwMwpCsycokD2RDnJO0UYlSRIeLirYAoKb5yA/Ucu42BN\nA94/dAkVX9YiKzUBs6YqcO1kxaiKMEaIPAsWLMCCBQvcfnf//ffj/vvvj7BEBAKBEDv4m39trEBm\n3CMQg9GMY+db8MX3jThxsRU0bd2ZmpEux+wsFXLS5eCySehQwtggXsxFSf4kFM+diMOnGvHZ0av4\n/kIrvr/Qijf+cxaTNHGYmhKPqePjkZoojnrACwKBQCAQRgsMBoWM8QngkXknAKJYjRhMZgvOXG7H\nVyeb8O0PzegzmAFYs07fNF2N6zNUJKcAYUzD5TCROyMJuTOS0NSuxzdntPjmTDPOXO7AmcsdwMGL\nYDIoJMqESFGJoFGIoJYJkJgggFzKA5MkdiUQCAQCIWDiYigFSrQJq2JVXV2NrVu32iP7lZWVuZTZ\nsmULqqurwePxsH37dmRmZno9t6OjA+vXr8fVq1eRlJSEF198ERKJxKXekQ5N02ju7MO5ug4c/7EV\nJy+2orffqkzJJDzkz9Tgxiw1xhG7XALBBVW8AIU3TkDhjRPQ3WvE2csdOHO5HZcadKjTdqO+2TnZ\nMJNBQSbhQRHPh1LKh2Lgn3LgM5dDVuLGKs8++yw+++wzsNlspKSkYNu2bRCLrdGjXn31VezevRsM\nBgNPPPEEbr755ihLSyAQCIRoEjbFymw2Y/Pmzdi5cydUKhVWrlyJ/Px8e9h0AKiqqkJtbS0++ugj\nHD9+HJs2bcLbb7/t9dzy8nLMmTMH9913H8rLy1FeXo7f/va34bqMsGChaRiNFvQZzdD3GdGqN+Ly\nlQ60dPahtbMPDa16XGzQobvXaD9HHsfDnGnW0OjpmjgSzY9A8BMRn233OQQAi4VGY5seV1t60NCm\nR2OrHtp2PZo7enHyYhtOuqlDKuJAFS+AMp4PVYIAqnir4iUU8yJ7MYSIc/PNN+Phhx8Gg8HACy+8\ngFdffRW//e1vcf78eezbtw8VFRVoampCaWkp9u/fDwbZ+SQQCIQxS9gUq5qaGqSkpECj0QAACgsL\nUVlZ6aRYVVZWori4GACQk5MDnU6H5uZm1NfXezz3wIED2LVrFwCguLgYa9asiYpiZTSZUfntFXR0\n98NgNKPfaIHBZIbBaIHRZIbBZLH/bTRbYDJZYDTTMJrMMJlpn/XL43jInBCP1EQJpk2UYZxMQCJO\nEQghgMGgME4udLvb29tvQnNHL5o7+tDc0Qttux7ajl40tfXih7oOnK3rcDlHyGMhQcJDvJiLeDEX\nYgEHIj4bQh4LAi4LHDYTXDYTbBYDTAYFxsA/x18zDesuNU07/w04h/gGrEloKcr6vy08L2PgGAbe\nEba6zQwGWjt6gYH6LLY2aHqgncH6eVwWiRrqhptuusn+d05ODvbv3w/AOn4VFhaCzWZDo9EgJSUF\nNTU1mDFjRrREJRAIBEKUCZti1dTUhMTERPtnlUqFmpoapzJarRZqtdr+Wa1Wo6mpCVqt1uO5ra2t\nkMvlAAC5XI7W1tZwXYJX6pt78Pan5z1+z2IywGYN/GMyIOCx7ce4bAbYLCa4bOtxRYIADNCQx/Eh\nj+NBIeUTfykCIQrwuSykqMRIUbkmCjSaLGju6EVTux5Nbb1o6exFp96IK9puaNt77VE5RzL/fec1\nmJISH20xYpbdu3ejsLAQgHX8ysnJsX9nG78IBAKBMHYJm2Ll7+7K0NVYT2Xc1WddufWvnVBlVHas\n7/3fJYW0zlgm1P0XSmJZNoDIFyyxJN+4xLhoi0AIA6WlpWhpaXE5vn79euTl5QEAXn75ZbDZbCxd\nutRjPf6MR7H0PMcipH+8Q/rHO6R/vEP6J/yETbFSqVRoaGiwf25sbIRKpXIqo1Qq0djY6FRGrVbD\nZDI5ndvU1ASlUgkAkMlkaG5uhkKhgFarRUJCQrgugUAgEAhjgJ07d3r9/t1330VVVRVef/11+zGV\nSuUyfg0d4wgEAoEwtgibl+20adNQW1uL+vp6GAwG7Nu3D/n5+U5l8vPzsWfPHgDAsWPHIJFIIJfL\nvZ6bl5eH9957DwCwZ88ezJ8/P1yXQCAQCIQxTnV1NV577TW89NJL4HK59uN5eXmoqKiAwWBAXV0d\namtrkZ2dHUVJCQQCgRBtKNofW7xhUlVV5RQyfe3atXjrrbcAACUlJQCAZ555Bp9//jn4fD62bduG\nrKwsj+cC1nDrDz74IBoaGkZ1uHUCgUAgRJ+CggIYjUbExVnNQGfMmIFNmzYBAF555RXs3r0bTCYT\nGzduxNy5c6MoKYFAIBCiTVgVKwKBQCAQCAQCgUAYC5CEGwQCgUAgEAgEAoEQJESxIhAIBAKBQCAQ\nCIQgIYoVgUAgEAgEAoFAIATJqFWsnn32WSxevBhFRUV44IEH0NXVZf/u1VdfRUFBARYtWoSDBw9G\nRb4PP/wQhYWFyMjIwMmTJ52+iwX5AGs0rEWLFqGgoADl5eVRk8PGY489hjlz5jjlkeno6EBpaSkW\nLlyIe+65BzqdLmryNTQ0YM2aNSgsLMSSJUvwxhtvxJSM/f39WLVqFZYtW4Zbb70Vv/vd72JKPhtm\nsxnLly/H/fffH3Py5eXlYenSpVi+fDlWrlwZc/LpdDqsW7cOixcvxq233orjx4/HjHwXLlzA8uXL\n7f9mzpyJN954I2bkCyex9i6NFIG+sz2NfSdOnMDSpUtRUFCALVu2RPQawslwxoyx1EfDGbPGUv/Y\nCGTMHGv9E+iYHZL+oUcpBw8epM1mM03TNP3888/Tzz//PE3TNH3u3Dm6qKiINhgMdF1dHT1//nx7\nuUhy/vx5+sKFC/Rdd91Fnzhxwn48VuQzmUz0/Pnz6bq6OtpgMNBFRUX0+fPnIy6HI19//TV98uRJ\nesmSJfZjzz77LF1eXk7TNE2/+uqr9vscDbRaLX3q1Cmapmm6u7ubLigooM+fPx9TMur1epqmadpo\nNNKrVq2iv/7665iSj6Zp+q9//Su9YcMGeu3atTRNx9Y9njdvHt3e3u50LJbke+SRR+h33nmHpmnr\nPdbpdDElnw2z2UzfdNNN9NWrV2NSvlASi+/SSBHIO9vd2GexWGiapukVK1bQx48fp2mapn/xi1/Q\nVVVVEb6S8BDomDEW+yiQMWss9g9N+z9mjsX+CWTMDlX/jNodq5tuugkMhvXycnJy7IkcKysrUVhY\nCDabDY1Gg5SUFNTU1ERcvrS0NKSmprocjxX5ampqkJKSAo1GAzabjcLCQlRWVkZcDkdmzZrlElr/\nwIEDKC4uBgAUFxfjk08+iYZoAACFQoGMjAwAgFAoRFpaGpqammJKRj6fDwAwGo0wm82Ii4uLKfka\nGxtRVVWFVatW2Y/FknwAQA8JpBor8nV1deGbb76xr8qxWCyIxeKYkc+RQ4cOISUlBYmJiTEpXyiJ\nxXdppAjkne1u7Dt+/Di0Wi16enrsOcKWL18+ap6RQMeMsdhHgYxZY7F/Ahkzx2L/AP6P2aHqn1Gr\nWDmye/du5ObmAgC0Wi3UarX9O7VajaampmiJ5kKsyNfU1ITExET7Z5VKFVP9ZKO1tRVyuRwAIJfL\n0draGmWJrNTX1+P06dPIzs6OKRktFguWLVuGOXPm4IYbbsCkSZNiSr6tW7fikUcesS+KALF1jymK\nQmlpKW677Ta8/fbbMSVffX09EhIS8Nhjj6G4uBhPPPEE9Hp9zMjnSEVFBQoLCwHETv+Fi5HyLo0U\nnu63p7Fv6HGVSgWtVhtZoSOAP2PGWOyjQMassdg/gYyZY7F/AhmzQ9U/rHBcSKQoLS1FS0uLy/H1\n69cjLy8PAPDyyy+DzWY72XgPhaKoqMnnD+GSL9baDBaKomJC7p6eHqxbtw4bN26ESCRy+i7aMjIY\nDOzduxddXV249957cfjwYafvoynfp59+CplMhszMTHz11Vduy0S7//7xj39AqVSira0NpaWlmDhx\notP30ZTPZDLh1KlTePLJJ5GdnY3/+Z//cfHniXb/AYDBYMCnn36Khx9+2OW7WJAv1Iy26wklo/F+\nD4dYHjOiTSyPWdFmJIyZ0SYaY/aIVqx27tzp9ft3330XVVVVeP311+3HVCqV3SwQsG6jqlSqqMjn\njkjK50uOhoaGqMvhC5lMhubmZigUCmi1WiQkJERVHqPRiHXr1qGoqAjz58+PSRkBQCwWIzc3FydP\nnowZ+Y4ePYoDBw6gqqoKBoMB3d3dePjhh2NGPgBQKpUAgISEBCxYsAA1NTUxI59arYZKpbKbKyxc\nuBDl5eWQy+UxIZ+N6upqZGVl2eWIlf4LFyPlXRopPN1vd2Of7Zkeetz2OxwNBDJmjNU+Avwbs8Za\n/wQ6Zo61/gECG7ND1T+j1hSwuroar732Gl566SVwuVz78by8PFRUVMBgMKCurg61tbX2iUi0cLT/\njBX5pk2bhtraWtTX18NgMGDfvn3Iz8+PuBy+yMvLw3vvvQcA2LNnj31gigY0TWPjxo1IS0vD3Xff\nbT8eKzK2tbXZo9/09fXh0KFDyMzMjBn5NmzYgKqqKhw4cAC///3vMXv2bDz//PMxI19vby+6u7sB\nAHq9HgcPHsTkyZNjRj6FQoHExERcvHgRAPDll18iPT0d8+bNiwn5bFRUVGDJkiX2z7HSf+FipLxL\nI4Wn++1p7FMoFBCJRDh+/DhomsbevXtHzTMS6Jgx1voo0DFrrPVPoGPmWOufQMfsUPUPRQ/16hol\nFBQUwGg0Ii4uDgAwY8YMbNq0CQDwyiuvYPfu3WAymdi4cSPmzp0bcfk+/vhjbNmyBe3t7RCLxcjI\nyMCOHTtiRj4AqKqqwtatW2GxWLBy5UqsXbs2KnLY2LBhA44cOYKOjg7IZDKsW7cO+fn5ePDBB9HQ\n0ICkpCS8+OKLLs7SkeKbb77BXXfdhSlTpti3ljds2IDs7OyYkPHs2bN49NFHYbFY7Hbrv/jFL9DR\n0RET8jly5MgR/PWvf8Urr7wSM/LV1dXhgQceAGANb7t06VKsXbs2ZuQDgDNnzmDjxo0wGo1ISUnB\ntm3bYDabY0Y+vV6PefPmobKy0m7yFEv9Fy5i7V0aKQJ9Z3sa+06cOIHHHnsMfX19yM3NxRNPPBHN\nywoZwxkzxlIfDWfMGkv944i/Y+ZY6p/hjNmh6J9Rq1gRCAQCgUAgEAgEQqQYtaaABAKBQCAQCAQC\ngRApiGJFIBAIBAKBQCAQCEFCFCsCgUAgEAgEAoFACBKiWBEIBAKBQCAQCARCkBDFikAgEAgEAoFA\nIBCChChWBAKBQCAQCAQCgRAkRLEiEAgEAoFAIBAIhCD5/wlYDViYktSmAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x4cbe2d0>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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