{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Multi-Fidelity Bayesian Optimization\n", "\n", "This notebook contains an example of using Emukit to perform Bayesian optimization on a function where low-fidelity approximations are availalbe. \n", "\n", "The high fidelity function to be optimized is the forreseter function given by: \n", "\n", "$$\n", "f_{high}(x) = (6x - 2)^2 \\sin(12x - 4)\n", "$$\n", "\n", "The low fidelity approximation of this function is given by:\n", "\n", "$$\n", "f_{low}(x) = 0.5 f_{high}(x) + 10 (x - 0.5) + 5\n", "$$\n", "\n", "Both are defined in the interval [0, 1].\n", "\n", "Each evaluation of the high fidelity function costs $5$ units, whereas evaluating the low fidelity function costs $1$.\n", "\n", "We wish to find the location of the maximum of $f_{high}$ while taking advantage of the cheaper to evaluate $f_{low}$." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Load function\n", "import emukit.test_functions.forrester\n", "\n", "# The multi-fidelity Forrester function is already wrapped as an Emukit UserFunction object in \n", "# the test_functions package\n", "forrester_fcn, _ = emukit.test_functions.forrester.multi_fidelity_forrester_function()\n", "forrester_fcn_low = forrester_fcn.f[0]\n", "forrester_fcn_high = forrester_fcn.f[1]\n", "\n", "# Assign costs\n", "low_fidelity_cost = 1\n", "high_fidelity_cost = 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot Functions" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAuoAAAH/CAYAAAABlPgTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzs3Xd4VEXbx/Hv0EIRUCB0aUoTCwiK\nBaQIKgIKdimKgrTHhh0RCYoKVnxUBGzwSBWliEQFaRYiAoKClFdUBOlKk54y7x+zgSSkbJLdPbvJ\n73Ndey055+yZe0vCvXPumTHWWkREREREJLwU8DoAERERERE5lRJ1EREREZEwpERdRERERCQMKVEX\nEREREQlDStRFRERERMKQEnURERERkTCkRF0kSIwxm4wxm3J5jhhjjDXGtAxMVKGXnedgjKnhO3Zc\n8CPLPmPM6caYt40xfxpjEn2xnp7d98kY08N3fI9cxHLKOcL99ZPAM84jxpj1xpijvve/k9dxZYcv\n5kVexyESjpSoi2QiReIzM5NjOvmOiQlhaOKNl4G+wErgOWAocNTTiPwQiC+NfrSxyPd7kNEtopLH\nrITRl+iuwEvAQeBV3GdyvacRpRFGr5VIxCnkdQAiediVXgcgAdcO2GCtTZV0GmPeBKYAmz2J6qSt\nQH1gv4cxjCD9Ly9hlTzmIe189x2stTs8jSTn6gOHvQ5CJBwpURcJEmvtb17HIAFXCfg17UZr7d/A\n36EP55Q44vE+IR5urd3ncQz5SSWACE7SsdZ6/ZkVCVsqfREJkozKDYwxFxpj5hljDhpj9hpjPjHG\nVE8uHcjkfF2NMT/56lD/MsYMM8YU9DOWIsaY+33tbjXGHDfGbDfGTDLG1E7n+BOXqv1t1xgTbYx5\nzxiz2xhzyBjzrTGmhT/x+fkcrjDGfOF7zY4YY1b7anMLpTimjDEmyRgzOc1jO/iezyFjTJEU2wsa\nY/YbY77Jou1xvvfGAC1SlHOM8+1P99K+MaaEMeYVY8w2X8w/GmNuzKKtVsaYWGPMP77XfK0x5omU\nzzOTx9ZIE1cNX9zVgeppSlF6GGPu8P37wQzOd7dv/4Cs2s4uf95P33Etk0vLfI9ZYIw5YIz5w5/9\nKc5zo+93bL+vvZXGmN7pxFXUGPOYL55/fefaYIz5wBhTxXfMImCI7yELU7ymi9Kcq5ExZpoxZqcx\n5pgx5jdjzAvGmNOy8xwzeP16+N7bVr6fk2PYlHK/SWccRHr7Un52jDFnG2Nm+l6rf40xs40xZ2UQ\nx4XGmKnG/T05ZtzfiJnGmOb+vlbpvXa+7ecb9/dxt+/c/2fc358SaY7LduzGmIt8x/3lO/d2Y8xi\nY8zdGb3mIl5Qj7pICBljGgFfA1HAR7hSiebAt8CeTB56H9AWmAUsBK4DBuF+h5/wo+kyuPrVr4HZ\nuNKIusAtwDXGmMbW2vSSAr/a9SUei3GXsBcDS4A6wFxgkR/xZcoYcwswCXd5fCqwF7gWV5vbzBjT\n2Tp7jDGrgZZpTpH8c3HgYtzrDXAhUMqPGGcCm3AJx5/AON/2VZnEXAD4zNf2j8D/gMq+5zEvg8fc\nC/wX1zs/y/c8mwEv+OK+IYs409qHq1lOTsRHpti3CtgAvA70TLMv2d3AcWBCNtvNlL/vZ5qHXQ48\niftMvQ2U9He/MeYl4BHcezfV125bYIwxpr61NuUXkQ+Bm4DvgLGABWriXvv3cOVF43zHtgDG4z4b\npLjHGNMZVw51HPf52YH7vD0BtDLGXGGtPZ7N55jSKtx72wP3RWyob3tur2bUAL4HfgLeAc4DOgAN\njDENrLVHkg80xtyKe72ScM/xD6Ai7m/ajcA3+PFapceX6H8JFMT9rfwL97s0CGhrjGlhrU1bYuVX\n7L6/w98Ch3C/Z9uB8kBD4Hbg/UxfIZFQstbqpptuGdxwf/gtrpwgJoPbFN8xMWkeuwnYlGbbd75j\n26fZ/o5vu02zPca3fQ9wdortZYB/gH+BIn48jyigcjrbWwAJwLu5aRd4xnf8f9Oc5+7k5wW0zMbr\nPS7FtlK45OMgUD/F9kK4/8gtcEeK7a/7ttVLsW05Lmk4BjyVYvujvmOv9PPzYIFF6WxPfr1aptiW\n/NxnAgVSbL8yxWvSI8X2BkA8LtEonWK7Ad70HX9Tiu090jnHKa9fRp/FFPve8D3m4jTb6/q2T/Pz\ntVnkO344p/6O3JaL97NliterSzrtZrX/6hTvQ9EU2wv7tlngIt+20rikc3o65ykKlMjsPU+xrxxw\nAPidNL93KT5zj/j7HPx53dPZfsrnw8/PjgUeTnP8B77tt6fYVhGX6O5N+T6m+MxWTvFzhq9Ver9X\nuKv9G33vRYs0x77nO/7pXMT+qm/b+enEUjY7r79uugX7ptIXEf/UxfWmpne71Z8TGGNqAJcBcdba\nOWl2x+AS5oz811q7MfkHa+0e4FPgNF9smbLWHrPWbktn+2JgLdAml+12A45wslcv2Qe4Xtvc6IRL\noMZaa9eliCUBeNz3450pjl/su08uCSiF6ymLBZYlb09xzHHcFYBA6+a7f9Jam5S80Vo7n/R71Pvg\nktV7rbX7Uxxvcb2sFrgtCHG+47tPe8k/+ef3snm+xzn1dyRl3Nl9P5Mtt9ZOyqTdjPb/B/fa9bYp\nemCtq+d/yvdj8u+wxSWZR0jDWnvUWnsok/ZTugPXG/5YOr93rwC7Sf+9zOo5hsLvwGtpto3z3TdJ\nse1O3BWqESnfR3Cf2fT+3mRDM+AsYKbvb1RKT+K+cKf3GfE39mTpvc//ZCtSkSBT6YuIf2bZNDN9\nJDNu2rkZfpzjAt/9KUmhtXarMWYzUCuDx65MZ9tW3/3pfrSNMaYx8Bju8np5XI9isrSX4P1u1xhT\nElca8GPa/+SstdYYswQ/vkxkoqHvflHaHdbaVcaY/SmOAZeoW1wv5dvAFbjL5wuBEsBDxtWpJ+IS\ngh9sisv5AXQBsMdauzadfd/iSi9SauqL+zpjTId0HnMEqBfYEMFa+7Mx5gfgdmPMQ9baw8bVid8B\nbMGVYWTHGTbzwaTZfT+TLc+i3Yz2N8X1bvc3xqTdl/w7UM/X/gFjzBdAF2PMmbge929wn+3ELNpP\n2ya4Mp5z09kfT/rvZVbPMRR+TvnF0ie9vzUX+e6z+/nwR2afkZ3GmPXABcaYktbaf1Ps9jf2acAD\nwFLjxrMsAL6x1u4KSPQiAaREXSR0kutNd2ewfxcZJ+rpTbeX3AOf5YBSY0wzYD7uUvKXuMvKh/Bd\n/sbVuOa03dK++4z+k9uZVXxZKJXFeXbget8A1yNmjFmDK+sBl7AfxCVBp+FqXJvieuVKEoAa+gyU\nJp0ZYnzSey5lcL25gzM5Z4lM9uXGO77bTbha+va40oZn0kl8citb72cKWSVRGe0vg/u/bkgmj035\nut6M62nvguv9BvjbGPMabkYbf16PMr77B/w4NqVwSBT9/VuT/Hufm57zjPjzGbnAd1zKRN2v2K21\nccaYK3F/C+4B+gPWGLMQeMBauyYXsYsElBJ1kdBJ/g8lOoP95YPY9kCgCHCZtTYu5Q7fgLDcOOC7\nzyj+CgE6f0bnqZDimGSLgXuNMefgEvVvrbUJvt7947iSl2O+YxflMr6M7Cd7r8kBXC9/CWvtsXT2\nB9MUXN3u3bhEPbm+/oMgtJWT9xNfPJnJaP8B4Ii1tqofsWGtPYgb8PmEMaYObkzBfbgFro5wamlF\nRm0C1E5ZOuZP89k4NivJXyjS+yJfKp1t2ZV81aQyLnEOJH8+IymPyzZr7SJgkW8Gmctwg197AV8a\nY+r6PgcinlONukjo/OS7vyztDuOmfasWxLbPAv5JJ0mvQPq9l36z1h7AzfZQ3xhTNs35Dek832xK\nnlnlirQ7jDHn4y5pp519ZZHv/jrcZfSFvlgP4+rUW/puwapPB/d+l/F9WUirWTrbfsAlVRelsy+3\nEsnkyosvKZmCm3qyGW4GlvnW2k1BiCUn72du/ABU8ZWyZIu19v+stW8DV/k2XZdid3IpTHqv6w++\n+0uy22YAJSfSVdLZ1ygA51/mu78q06OczF6r9GT2GSmPKxv6PU3ZS45Yaw9Za+dZa/vi6tkrA41z\ne16RQFGiLhIivqTne+BSY0z7NLtjCO4Vrs24pLF+8gZfnfabpK5Vz6kJQDFOLS+4i9zVp4ObPu0A\n0NsYc3byRuPmch/h+/F/aR6TXKf+ECfr05MtAi4luPXpcHJKw+d8UzUC4LvknrY+HWAULqF5yxhT\nKe1OY0yFlO9fNu0ByhljojI5Zqzvfirus5jdQaT+ysn7mRtv+O7fM8aUTrvTGFPTN9A7eS2A9AYd\nJvfgpvysJE+nml4i/AGu3GqESX+dgtN9UwQG04+434FbU77vxpiLga4BOP//cNNcPp72c2mclJ/h\nzF6r9HyLGxja2RiT9ov+MNwMPDn+jBhjmvnG1qSVfAUsWH8TRLJNpS8ioXUvbi7zGcaYlPOo1wB+\nxs37Gwxv4pLD74wxU3F1m21wSfpPnBzomlMv4uqb7/P1iibPo94RN9jMn163dFlr9xtj+uIS3xXG\nmCm43sJrgXNxc5X/L81j/jbGrMVNeXgAl7QkW4SrTU3+d7CMA7rjZjlZZoyZh+utuxWYg6sDTxnz\namPMfbj36v+MMbG4aRXPAGrjvlgMBlLNsOGnhbhZL2YZY77DDWacY61dnaL95caYVbgrEHvwb4B0\ntuXk/cxle7HGmBdw5V8bjTFf4ubkjsbN+38Jrh59Ey6RXGaM+Rk3kHo7rla/M+5L1OspTp38ZfA5\nY0xdXGnbZmvtJGvtLmNMV9yXnl987+WvuFr4WpycU7xvoJ5nOs/7L2PMJ7jfy+TPXxXgetznL93B\n8dk4/w7f4kATgJXGmBm4K2vlcT3hsZycvz/D1yqDcyf5zv05sMD3t3Ir7nW7FFiB+5uTU48AVxpj\nFuC+ECTiBtlfgvv7vCyTx4qElBJ1kRCy1q4wbrXO4bj//I/jkqjuuIWIcn0pN4N2P/XVog/ETWt2\nAPgCNx3e1ACc/6DveY3AlQdchLt8fTWuxCTHibrv/JONMdtx8d+K61H7DVdL/KpvCsO0FuES9W/S\nzNiRXKdehCAm6r5koyNujvnbcQML1+OSwpKkSdR9j3nblyw/hEt2OuOS5k3As7hFgnJiGFDW12Zb\n3NXUHcDqNMd9iEvUJwSzTj6H72du2nvSuNVn7wWuwdVo78YNqn4U+Mp36Cbc1a0rcZ/dMrgBjfOB\nF621S1Occ40x5h7ce/UI7vO0GN975PudS55p6UrcF5EDuC/nr3Ny2sBg6oFbPOtG3IDJn3GfqYrk\nMlEHsNZONcb8jnvf2uBe11240p9pKY7L9LXK4NyLfb3pT+M+tyVxr90LwPO5vBL2Nu69aIp7bxJx\n7/3jwFuB/vyJ5IbR51HEe8at7LkLWGOtvdjreCR/Msb8D/el8QJr7c9exyMikt+pRl0khIwxhdMZ\ncFkA1xNdDFe/KxJyxpjKwC24BbmUpIuIhAGVvoiEVmngL2PMXOD/cDWrzXC1uetJXQMrEnS+gc2N\ncSUoUbgSGxERCQNK1EVC6yBuRogrcXN5R+FWfxwJPKu5e8UDN+PGLfwFDLDWfu5xPCIi4qMadRER\nERGRMKQadRERERGRMJQvSl/KlStna9So4XUYIiIiIpKHrVix4m9rbXSgzpcvEvUaNWqwfPlyr8MQ\nERERkTzMGPNnIM+n0hcRERERkTCkRF1EREREJAwpURcRERERCUNK1EVEREREwpASdRERERGRMKRE\nXUREREQkDOWL6Rn9ceDAAXbt2kV8fLzXoUgeU6hQIYoWLUp0dDRFixb1OhwRERGJEErUcUn6zp07\nqVKlCsWKFcMY43VIkkdYa0lISODgwYNs3ryZChUqULp0aa/DEhERkQigRB3YtWsXVapUoXjx4l6H\nInmMMYbChQtzxhlnEBUVxY4dO5Soi4iIiF9Uow7Ex8dTrFgxr8OQPK5YsWIcO3bM6zBEREQkQihR\n91G5iwSbPmMiIiKSHUrURURERETCkBJ1EREREZEwpEQ9Dxo3bhzGGDZu3Oh1KKk8//zzVKtWjUKF\nCtGwYUPAlYPExMRk+diWLVvSsmXLbLeZ/Fps2rTpxLYaNWrQo0ePEz8vWrSImJgYkpKSsn1+ERER\nkWDRrC8SEj/88AODBg3i0UcfpVOnTpQsWRKAuLg4qlatGtJYZsyYQalSpU78vGjRIoYOHcpTTz1F\ngQL67ioiIiLhQYm6hMS6desA6Nu3L7Vq1Tqx/ZJLLgl5LI0aNQp5myIiIiLZpe7DfGzChAlccMEF\nFC1alHLlytG9e3e2b99+Yv+9997L2WefneoxjRs3PqWsZtCgQZQvXx5rbbrttGzZ8kSpyVlnnZWq\n3CW90pcpU6ZQr149oqKiaNCgATNmzEj3vH///Tf9+vWjSpUqREVFUa9ePcaOHZvl805Z+hITE8PQ\noUMBKFy4MMYYjDEcO3aM6OhoBgwYcMrjk8tp1q9fn2VbIiIikj9kkAblihL1fGrs2LF0796d+vXr\nM336dIYPH86XX35JixYtOHjwIACtW7fmt99+Y/PmzQDs3buXVatWUaxYMRYsWHDiXAsWLKBVq1YZ\nTj84atQoBg4cCMD06dOJi4ujV69e6R771Vdf0aVLF2rXrs306dN59NFHeeCBB9iwYUOq4w4cOMDl\nl1/OnDlziImJYc6cOXTs2JF+/frxxhtv+P069OrVi549ewLw7bffEhcXR1xcHFFRUdx1112MHz+e\no0ePpnrMmDFjaNGiBfXq1fO7HREREcm7fvwR2rYN/HlV+pKBBx+EVau8jaFhQxg5MvDnTUxMZPDg\nwbRs2ZIpU6ac2F6vXj2aN2/O+++/z/3330/Lli0xxrBw4ULuvPNOFi9eTKlSpbjhhhtYuHAhvXv3\n5uDBgyxfvpw777wzw/bOOeecE+UujRo1okaNGhkeO2TIEOrVq8esWbNO1IvXr1+fSy65hLp16544\n7vXXX+fPP/9k9erV1K5dG4A2bdqwb98+hg4dSr9+/ShUKOuPd9WqVU/UyDdt2jTVY/r168crr7zC\ntGnT6N69OwA///wz33//PZMnT87y3CIiIpK37dwJDz8MEydC2bKBP7961POhDRs2sGvXLrp27Zpq\ne7NmzahevTqLFy8GoEyZMpx//vknes8XLFhAixYtaNOmDQsXLgTg66+/JiEhgdatW+c6rsTERJYt\nW8ZNN92UalBn06ZNT0nuv/jiC5o2bUrNmjVJSEg4cbv66qv5559/WLt2ba7jqVmzJldffTVjxow5\nsW3MmDFER0dzww035Pr8IiIiEpmsdcn5OefAtGnwxBPw22+Bb0c96hkIRk92uNizZw8AlSpVOmVf\nxYoVT+wHV/7y8ccfA7Bw4UJ69epFq1at2LlzJ2vXrmXhwoVUrlyZOnXq5Dquv//+m/j4eCpUqHDK\nvrTbdu3axcaNGylcuHC65/rnn39yHQ9A//796dixI2vWrKFmzZpMmDCBvn37UqRIkYCcX0RERCLL\nvn1w990wYwZccgm8/z7Urx+ctpSo50NlypQBYMeOHafs27FjB02aNDnxc6tWrXjttdeIi4vjl19+\noXXr1lSsWJH69euzYMGCE/XpgVCuXDkKFy7Mzp07T9m3c+dOqlevfuLnsmXLUr58eV5//fV0z5Wy\nTCY3rr32WmrUqMGYMWO44IIL+Pfff+ndu3dAzi0iIiKRZdUquPFG2LwZXnwRHnoIChYMXnsqfcmH\n6tatS4UKFVLVpwMsWbKEP//8kxYtWpzYdsUVV1CwYEEGDx5MuXLlOPfccwHX0z59+nRWrVoVkLIX\ngIIFC3LRRRfx8ccfp1p8aOnSpakWLAK45pprWL9+PdWqVaNJkyan3JLnafdHVFQUAEeOHDllX4EC\nBejTpw8ffvghb775Jm3atOGss87K2RMUERGRiDVxIlx6KRw7BosXw6OPBjdJB/Wo52lffPEFFStW\nTLWtdOnStG3blmeeeYY+ffrQrVs3unXrxtatWxk0aBC1a9fmrrvuSnX8hRdeyPz587n55ptPzOzS\nqlUr3nrrrRP/DpShQ4dy1VVX0alTJ/r06cPu3bsZMmTIKc9jwIABTJ06lebNmzNgwADq1q3LoUOH\nWL9+Pd988w2zZs3yu81zzjkHgFdeeYV27dpRsGDBVFcVevbsSUxMDD/99BOffPJJYJ6oiIiIRARr\n4fnn4amnoEUL+OgjKF8+NG0rUc/D7rvvvlO2NWjQgDVr1tC7d2+KFy/OSy+9xPXXX89pp53Gtdde\ny4svvshpp52W6jGtWrVi2bJlqXrOk6djrFatGjVr1gxYzG3atGHixInExMRwww03cPbZZzNy5MhT\nSlxKly7NkiVLeOaZZxgxYgRbt27l9NNPp27dutx4443ZarNDhw7079+fUaNG8cwzz2CtTTUnfHR0\nNC1atGD16tVcd911AXmeIiIiEv4SEuA//4GxY6FrV3jvPfBdiA8Jk9EiNXlJkyZN7PLlyzPcv27d\nOuoHaxSARLy9e/dSrVo1HnzwQZ599tlcnUufNRERkcgQHw/du8PUqTBwIDz3HGSwZMwJxpgV1tom\nmR/lP/Woi2Rg9+7dbNiwgddff52kpCT69+/vdUgiIiISAsePQ5cu8MknbtDoo496E4cGk4pkYM6c\nOTRv3pwffviB8ePHpzudpYiIiOQt8fFw660uSR850rskHdSjLpKhHj160KNHD6/DEBERkRBJSoKe\nPWHmTHjjDbj3Xm/jUY+6iIiIiOR71sKDD8KHH8KwYd4n6aBEXURERESE5593vegDBsCTT3odjaNE\nXURERETytcmT3Tzp3brByy9nPbtLqChRFxEREZF8a8kSuOsuuOIKePddKBBG2XEYhSIiIiIiEjqb\nNsH110O1ajB9emgXM/KHEnURERERyXeOHIEbb3TTMX72GZQt63VEp9L0jCIiIiKSr1gL//kP/Pgj\nzJ4Ndep4HVH61KOeB40bNw5jDBs3bjxlX0JCAsYYYmJiTjl+06ZN2W6rR48eVK1aNcexxsXF0bRp\nU0qUKIExhlWrVtGjRw9q1KiR5WNzE3fa1yAmJgaTYuTIvn37iImJ4ccff8z2uUVERCS8vfsufPAB\nDB4MHTp4HU3GlKgL7du3Jy4uzpOVN3v27ElCQgKzZ88mLi6OOnXqMHjwYGbMmBHSOHr16kVcXNyJ\nn/ft28fQoUOVqIuIiOQxy5a5OdKvugqGDPE6msyp9EWIjo4mOjo65O0mJSWxYcMGBg0aROvWrU9s\nP+uss0IeS9WqVXN1ZUBERETC3z//uLr0SpVg0iQoWNDriDKnHnVJt4Tk8OHD9OvXj7Jly1KyZEk6\nd+7MkiVLMMYwbty4U86xcuVKmjdvTvHixalduzajR4/Oss2CBQuSlJTEs88+izHmRLlLeqUvv//+\nO+3bt6d48eJER0fzwAMPcOzYsXTP/c4773DBBRdQtGhRypUrR8+ePdmzZ0+m8aQsfdm0aRM1a9YE\n4J577sEYc+J533vvvVSoUIH4+PhUjz948CAlS5Zk4MCBmbYjIiIi3rAWevaEHTvg44/Dc/BoWkrU\n87DExEQSEhJS3RITE/16bO/evXn//fd55JFHmD59OnXr1qVr167pHnvgwAG6dOlCt27dmDVrFhdd\ndBH9+vVj4cKFGZ6/ffv2fPvtt4Arf4mLi8uw3OX48eO0bduWlStX8tZbbzFu3Dj++OMPhg0bdsqx\nTzzxBP3796dNmzZ8+umnvPTSS3zxxRe0a9fO7+deqVIlpk+fDsDAgQOJi4sjLi6O9u3b079/f3bt\n2nVKrBMnTuTQoUPcc889frUhIiIiofXOOzBrFrzwAjRp4nU0/lHpS0YefBBWrfI2hoYNYeTIHD+8\nXr16OXrchg0bmDRpEsOHD+exxx4DoG3bthw+fJg33njjlOP//fdfRo0aRatWrQC44oormDt3LpMn\nTz6xLa3o6GjOOOMMwJWdXHLJJRnGM378eH7//Xfi4uJOHNeuXTvOO++8VMdt2rSJl156iSFDhvD0\n00+f2F6nTh2aNWvG7Nmz6dSpU5bPPyoqikaNGgFQq1atVLFFR0fTokULxowZwy233HJi+5gxY7jq\nqquoVatWlucXERGR0Fq/3qV2bdrAgAFeR+M/9ajnYTNmzGDZsmWpbt9//32Wj1u6dCnWWm6++eZU\n22+66aZ0jy9evHiqhDwqKoratWuzefPm3D0Bn7i4OM4888xUCXOBAgVSJcoA8+bNIykpia5du6a6\nitC0aVNKlSrF119/HZB4+vfvz8KFC/n1118BWLZsGStXrqRPnz4BOb+IiIgEzvHj0LUrFC8O48eH\n18qjWVGPekZy0ZMdLs4991zOPvvsVNsSEhKyfNz27dsBKF++fKrtFSpUSPf45J7xlKKiojh69Ki/\noWYZT3ptp922a9cugFOec7J//vknIPF07tyZihUrMmbMGF5++WVGjx5N5cqV6dixY0DOLyIiIoEz\neLCbL33GDKhc2etoskeJupwieZrGXbt2nRhUCbBz507P4vnll19O2Z42nrK+USFz585N98tD2QCN\nGilcuDC9evVi1KhRPPbYY0yZMoWHH36YQoX06yQiIhJOFi+Gl16C3r3Bj+rXsBNBnf8SKk2bNsUY\nw7Rp01JtT/tzqFx66aVs2bIlVdlOUlISH330Uarj2rZtS4ECBdi8eTNNmjQ55ZbyS0dWoqKiADhy\n5Ei6+/v06cP+/fu5+eabOXbsmAaRioiIhJlDh+Duu6FWLXj1Va+jyRl1Acop6tatS5cuXRg8eDBJ\nSUk0btyYBQsWMHv2bMDVh4fSnXfeyfDhw7nhhht4/vnnKV++PKNHj+bAgQOpjjvrrLN4/PHHuffe\ne9mwYQMtWrSgaNGibNmyhXnz5tGrV68MB7emVaFCBcqWLcuUKVM4//zzKVGiBDVr1jzRK1+lShU6\nduzIjBkz6NixI2eeeWbAn7eIiIjk3KBB8PvvsGgRlCjhdTQ5ox51SdfYsWO5++67efHFF+ncuTO/\n/PILb731FgClS5cOaSxFihRh3rx5NGzYkP79+3PnnXdSs2ZNnnrqqVOOff755xk7dixff/01t9xy\nC9dffz0jRozgjDPOoHbt2n6waHO4AAAgAElEQVS3WaBAAd5991327t1LmzZtuOiii058UUmWPNhW\ng0hFRETCy7ffwn//C//5D7Ro4XU0OWestV7HEHRNmjSxy5cvz3D/unXrqF+/fggjikwvvfQSjz/+\nOJs2baJatWpeh+O5rl278t133/H777/7fZVBnzUREZHgOnzYzXAdHw+rV8Npp4WubWPMCmttwGZp\nV+mLpOuzzz5jzZo1NGzYkAIFCvDNN9/w8ssvc8stt+T7JP37779n1apVTJ06lVdffTXkpUAiIiKS\nsaefhl9/ha++Cm2SHgxK1CVdJUuWZObMmQwfPpxDhw5RpUoV7r//foYOHep1aJ679NJLOe2007jz\nzjvp37+/1+GIiIiIz9Kl8NprbpaXK6/0OprcU6Iu6WrRooVfiyPlR/mhXExERCTSJCRAnz5QsaKb\nkjGkrIXY2ICfVom6iIiIiES8//4XfvoJPv4YSpUKYcO//ea+IcyfH/BTq7hWRERERCLa5s2uNr19\ne7jhhhA2PHEinH8+LFsGb74Z8NMrUfdROYMEmz5jIiIiwXH//ZCU5HJlY0LQoLXwxBPQrRs0aQK/\n/OLmggwwJeq4JeEzWoFSJFCOHDlyYsVTERERCYxZs9wtJgZq1AhBg4mJ0LcvjBjh7ufPh6pVg9KU\nEnWgfPnybN26lcOHD6vXUwLKWkt8fDx79uzhr7/+OrGyqYiIiOTewYNw331w7rkwYEAIGkxIcL3o\nY8fCk0/CqFFQKHhDPjWYFCjlG3Gwbds24uPjPY5G8ppChQpRtGhRqlWrRtGiRb0OR0REJM947jnY\nsgUmT4bChYPcmLXuW8GUKa43/bHHgtygEvUTSpUqdSJhFxEREZHwtnEjvPoq3HEHXH55CBp8+WUY\nPdrVpocgSQeVvoiIiIhIBHroIShSBIYPD0Fj06a55PzWW103foh4mqgbY6oaY94wxsQZYw4bY6wx\npkY6x9kMbg1DH7WIiIiIeOmLL2D2bBg8GCpVCnJj69ZBjx5w2WUwbhwUCF367HXpy9nALcAK4Bvg\nqkyOHQeMSbPt/4ITloiIiIiEo+PH4cEHoXZteOCBIDd29CjcdhsUL+561UM81szrRP1ra20FAGNM\nLzJP1Ldaa7WmvYiIiEg+9uabsGEDfPYZBH3W40cegZ9/hjlzoHLlIDd2Kk9LX6y1SV62LyIiIiKR\nY+dOGDoU2rVzq5AG1axZ8NZbrhj+2muD3Fj6ImkwaT9jzDFfLfsCY0xzrwMSERERkdB58kk4cgRe\ney3IDe3b5xYzatgQXnghyI1lzOvSF39NAD4DtgHVgUeBBcaYttbaRV4GJiIiIiLBt2wZvP++q0ap\nWzfIjT32GOze7UpeihQJcmMZi4hE3VrbPcWP3xhjZgFrgGFAs/QeY4zpDfQGqFatWtBjFBEREZHg\nsNYNIK1Qwc30ElSLFsE778Cjj8KFFwa5scxFUunLCdbaf4E5wEWZHDPWWtvEWtskOjo6dMGJiIiI\nSEBNnw5LlsCwYRDU9SmPHoXevaFWLYiJCWJD/omIHvUMGMB6HYSIiIiIBM/x424x0AYN4K67gtzY\nq6/Cr7/CvHluSkaPRWSibowpBbQHlnodi4iIiIgEz+jRsHGjKxcvWDCIDW3fDs8/D507Q5s2QWzI\nf54n6saYm3z/bOy7b2eM2Q3sttYuNsY8AtQFFnJyMOkjQEWga6jjFREREZHQ2LcPnnkGrrzSTckY\nVIMGue77l14KckP+8zxRB6al+XmU734x0BLYAHT23UoDB4DvgJ7W2h9CFKOIiIiIhNgLL8CePS53\nNiaIDa1YAePGwcMPw1lnBbGh7DHW5v0y7yZNmtjly5d7HYaIiIiI+OnPP900jLfeCuPHB7Eha6Fl\nS1i3ztWnly6d41MZY1ZYa5sEKrRw6FEXEREREUll0CDXiz5sWJAbmjsXvv4a3nwzV0l6METk9Iwi\nIiIiknetWAETJ8KAAXDmmUFsyFp46imoXh3uuSeIDeWMetRFREREJGxY69YaKlcOHn88yI3NmgXL\nl7slTz1cgTQjStRFREREJGx8+SUsXAhvvBHkSpSkJLfMae3a0L17EBvKOSXqIiIiIhIWkpJg4ECo\nWdMtEBpUH30Ea9bApElQKDxT4vCMSkRERETynWnTYNUq+PDDIFeiJCW5UarnnOOmlQlTStRFRERE\nxHPx8W5c53nnwe23B7mxzz6DX35x3wgKhO/cKkrURURERMRzH3wAGzfCp59CwYJBbMhaeP55qFED\nbrstiA3lnhJ1EREREfHUkSMwdChceil06BDkxhYtgqVLYdSosK1NTxbe0YmIiIhInvfmm7BtG0ye\n7BY5CqoXXoAKFeCuu4LcUO6Fb1GOiIiIiOR5+/fD8OFwzTVwxRVBbmzFCpg3z62kVLRokBvLPSXq\nIiIiIuKZl1+GPXtc2XjQvfYanHYa9O0bgsZyT4m6iIiIiHhi506XO996KzRqFOTGtm6FqVOhZ88g\nr6QUOErURURERMQTzz0HR4/Cs8+GoLFRoyAxEe6/PwSNBYYSdREREREJuU2bYPRouPtuqF07yI0d\nPuwau/56qFUryI0FjhJ1EREREQm5mBg3X/rTT4egsQkTXCH8gAEhaCxwlKiLiIiISEht2OAWBe3f\nH6pWDXJj1sLIkXDhhdC8eZAbCyzNoy4iIiIiIfXMM252xMcfD0FjixfDunVu6dOgT9IeWOpRFxER\nEZGQWbvWLWx0331QvnwIGhw9Gk4/3U0tE2GUqIuIiIhIyAwdCiVKwCOPhKCxnTth+nTo0QOKFQtB\ng4GlRF1EREREQmL1avjoI3jwQShXLgQNfvABxMdDnz4haCzwlKiLiIiISEjExECpUvDQQyFoLCkJ\nxoyBli2hXr0QNBh4StRFREREJOhWrnRVKA89BGecEYIG5851k7X37RuCxoJDibqIiIiIBN2QIW5M\n54MPhqjB0aMhOho6dw5Rg4GnRF1EREREgmrZMpg92w0gLV06BA3+9ZdrsGdPKFIkBA0GhxJ1ERER\nEQmqIUOgTBm4//4QNfjuu26ho3vuCVGDwaFEXURERESCJi4OPv8cHnsMSpYMQYOJiS5Rv/pqqFUr\nBA0GjxJ1EREREQmaIUNcqfh//hOiBufNg61boVevEDUYPIW8DkBERERE8qZvvnF588svw2mnhajR\nceOgbFno2DFEDQaPetRFREREJCiGDIEKFaBfvxA1uHcvzJwJXbpE9CDSZOpRFxEREZGAW7jQ3UaO\nhOLFQ9To1Klw7Bj06BGiBoNLPeoiIiIiElDWut70ypWhd+8QNjxuHJx3HjRqFMJGg0eJuoiIiIgE\n1Pz5rj79ySehWLEQNbpuHSxdCnfeCcaEqNHgUqIuIiIiIgFjLTz9NFStGuKJV8aPh4IFoWvXEDYa\nXKpRFxEREZGA+fJLN3f66NEQFRWiRhMT4cMPoV07qFgxRI0Gn3rURURERCQgknvTq1eHu+4KYcNf\nfQXbtuWZQaTJ1KMuIiIiIgExZw4sW+YWBg3p7IjjxkGZMtChQwgbDT71qIuIiIhIriX3pteqBXfc\nEcKG9++HGTPg9ttDWGsTGupRFxEREZFcmzULVq50nduFC4ew4Rkz3Nzp3buHsNHQUI+6iIiIiORK\nUpKbN71OHQ8mXZk0yXXjX3xxiBsOPvWoi4iIiEiuTJ8OP/8MEydCoVBmlzt3uknbBw7MM3Onp6Qe\ndRERERHJscRE15tevz7cemuIG//oI9ed36VLiBsODfWoi4iIiEiOTZsGa9fC1KluvaGQmjQJLrgA\nzjknxA2HhnrURURERCRHEhMhJgbOPRduuinEjf/+O3z/vZvtJY9Sj7qIiIiI5MjkybBhA3zyCRQI\ndffv5Mnu/rbbQtxw6KhHXURERESyLSEBhg6Fhg2hU6cQN26tK3tp1swtg5pHqUddRERERLJtwgTY\nuNHNnx7y3vTVq11h/Ftvhbjh0FKPuoiIiIhkS3w8PPMMNG4MHTt6EMCkSW7k6s03e9B46KhHXURE\nRESyZdw4+OMPeOMND6Yvt9bVp191FURHh7jx0FKPuoiIiIj47dgxePZZaNoUrr3WgwCWLoXNm/P0\nINJk6lEXEREREb+99x5s2eLuPVkMdNo0KFwYrrvOg8ZDSz3qIiIiIuKXI0fgueegeXNo08aDAKyF\njz92ZS+nn+5BAKGlRF1ERERE/DJ2LGzb5gaSetKb/sMPruwljw8iTaZEXURERESydPgwvPACtG4N\nLVt6FERy2cv113sUQGipRl1EREREsvTWW7Bzp1uF1BPJZS9t2+aLshdQj7qIiIiIZOHff2HECLj6\narj8co+CWLYM/vwz35S9gBJ1EREREcnCG2/AP/+42nTP5LOyF1CiLiIiIiKZ2L8fXn4ZOnSAiy/2\nKAhrXaLeti2ccYZHQYSeEnURERERydDIkbB3Lwwd6mEQy5fnu7IXUKIuIiIiIhnYuxdefRU6d4YL\nL/QwkHxY9gJK1EVEREQkA6+8AgcOQEyMh0Ekl720aZOvyl5AibqIiIiIpOPvv+H11+GWW+D88z0M\nZOVK2LQJbrrJwyC8oURdRERERE7x0ktw6BAMGeJxIDNmQIEC0LGjx4GEnhJ1EREREUll5054803o\n0gXOOcfjYGbOhObNITra40BCT4m6iIiIiKQyYgQcPQpPP+1xIBs3wpo1bjRrPqREXURERERO2LYN\n3n4b7rgD6tTxOJgZM9x9p07exuERJeoiIiIicsKwYZCQAIMHex0JLlFv1AiqV/c6Ek8oURcRERER\nAH77Dd55B+65B2rV8jiY7dshLi7flr2AEnURERER8YmJcesKhUVv+qefunsl6iIiIiKSn61eDRMn\nwn33QaVKXkeDK3s5+2xo0MDrSDzjaaJujKlqjHnDGBNnjDlsjLHGmBrpHFfUGPOSMWa7MeaI7/gr\nQh+xiIiISN40eDCUKgWPP+51JMD+/bBggetNN8braDzjdY/62cAtwF7gm0yOew+4B3ga6ABsB740\nxjQMeoQiIiIiedz338OsWfDoo1CmjNfRAHPmQHx8vi57ASjkcftfW2srABhjegFXpT3AGHMB0AW4\n21r7gW/bYuAX4BngutCFKyIiIpL3DBoE5cvDAw94HYnPjBlQsSI0bep1JJ7ytEfdWpvkx2HXAfHA\n1BSPSwCmAFcbY6KCFJ6IiIhInvfVV67KZNAgOO00r6MBjhyBzz+H66+HAl4Xf3grEp59A+APa+3h\nNNt/AYrgymdEREREJJushSefhGrVoE8fr6PxmT8fDh3K92Uv4H3piz/K4GrY09qTYv8pjDG9gd4A\n1apVC05kIiIiIhFs5kxYtgzefx+iwqVGYcYMKF0aWrXyOhLPRUKPugFsBtszZK0da61tYq1tEh0d\nHZzIRERERCJUYiI89RTUqwfdu3sdjU9Cgps/vX17KFLE62g8Fwk96nuA9LrEz0ixX0RERESyYeJE\nWLsWpk2DQuGSEX73Hfz9N3Tq5HUkYSESetR/AWoaY4qn2X4OcBzYGPqQRERERCLXsWMwZAg0bgw3\n3uh1NCnMmuV60q+5xutIwkIkJOqfAoWBm5M3GGMKAbcCc621x7wKTERERCQSvf02bNoEL7wQRusJ\nWevKXlq3hpIlvY4mLHh+ocMYc5Pvn4199+2MMbuB3dbaxdbaVcaYqcBIY0xh4A+gH1AT6Br6iEVE\nREQi17598Oyz0Latu4WN9evht9/g4Ye9jiRseJ6oA9PS/DzKd78YaOn7913Ac8Aw4HTgJ+Aaa+2P\noQhQREREJK8YMQL27nX3YWX2bHffoYO3cYQRzxN1a22WF1ystUeAh3w3EREREcmBLVtg5Ejo1g0a\nNfI6mjQ+/dQFdeaZXkcSNiKhRl1EREREAuDppyEpyZW+hJXduyEuDjp29DqSsKJEXURERCQfWL0a\nxo+H+++H6tW9jiaN2Fj3DeK667yOJKwoURcRERHJBx5/3C34OXCg15GkY/ZsqFwZLrzQ60jCihJ1\nERERkTxuwQL4/HMYNAjKlPE6mjSOHYMvv3SDSMNmrsjwoERdREREJA9LSoLHHoNq1eDee72OJh2L\nFsHBgyp7SYfns76IiIiISPBMmQIrVsD//gdFi3odTTpmz4ZixdxCR5KKetRFRERE8qjDh+GJJ9ys\nh13DcZnI5NVIr7rKJeuSihJ1ERERkTzqlVdOzp1eIByzvp9/dgFqWsZ0heNbJiIiIiK5tHUrDB8O\nN94IV1zhdTQZ+PRTd9++vbdxhCkl6iIiIiJ50KBBkJAAL77odSSZmD0bmjaFihW9jiQsKVEXERER\nyWOWL3eLGz34INSq5XU0Gdi2DZYtU9lLJpSoi4iIiOQh1sKAAVC+vOtVD1tz5rh7TcuYIU3PKCIi\nIpKHfPwxfPstjBkDpUp5HU0mPv0UqleHc8/1OpKwpR51ERERkTzi6FG3uNH550PPnl5Hk4mjR2H+\nfK1GmgX1qIuIiIjkESNHwqZNLgcuWNDraDKxaBEcOaLZXrKgHnURERGRPOCvv2DYMLj++ghY5DM2\n1i2T2rKl15GENSXqIiIiInnAww9DYiK89prXkWTBWjeQtHVrrUaaBSXqIiIiIhFu/nz46CMYOBBq\n1vQ6miz83//B77+r7MUPStRFREREItjx43DffW6+9Mce8zoaP8TGuvt27byNIwJoMKmIiIhIBPvv\nf2HdOrfIZ9GiXkfjh9hYqF8/Arr+vacedREREZEItXUrxMS4xT07dPA6Gj/8+y8sXqyyFz8pURcR\nERGJUI88AgkJblrGiDB/PsTHw7XXeh1JRFCiLiIiIhKBFi6EKVPgiSdcfXpEiI2FkiXh8su9jiQi\nKFEXERERiTDx8XDvva7M+/HHvY7GT9a6RP2qq6BIEa+jiQgaTCoiIiISYV5+GdaudQNII2Yq8p9/\ndkX1Knvxm3rURURERCLIr7/C0KFw000RMoA0WfK0jNdc420cEUSJuoiIiEiEsBb69oWoKHj9da+j\nyabYWGjUCCpX9jqSiKFEXURERCRCfPghLFgAI0ZEWL67Zw8sWaJpGbNJibqIiIhIBNi9Gx56CC67\nDHr39jqabJo7F5KSVJ+eTUrURURERCLAww/DgQMwdiwUiLQMLjYWypaFiy/2OpKIEmlvs4iIiEi+\n88UXruzlscegQQOvo8mmpCT4/HM3iLRgQa+jiShK1EVERETC2P79cM89cM45MHiw19HkwLJl8Pff\nKnvJAc2jLiIiIhLGHnkEtm2DTz5xs71EnNhYV6tz9dVeRxJx1KMuIiIiEqbmzoV334VHH43g8u7Y\nWLjkElejLtmiRF1EREQkDB04AL16Qb16EBPjdTQ5tGMHLF+uspccUumLiIiISBh69FHYuhW++w6K\nFvU6mhz64gt3r0Q9R9SjLiIiIhJmvvjCTcP40EOuaiRixcZCpUrQsKHXkUQkJeoiIiIiYWT3brjr\nLjj3XHj2Wa+jyYX4ePjyS9ebbozX0UQklb6IiIiIhAlr3aqje/a4HDdiS14AlixxhfYqe8kxJeoi\nIiIiYeL992HmTHjlFTj/fK+jyaXYWChcGNq08TqSiKXSFxEREZEwsHEjPPAAXHklPPig19EEQGws\nNG8OpUp5HUnEUqIuIiIi4rH4eOjWDYoUgXHj3PpAEW3zZlizRmUvuaTSFxERERGPDR4MS5fCRx9B\n1apeRxMAsbHuXol6rkT69zURERGRiBYbCyNGQN++cPPNXkcTILGxULOmW61JckyJuoiIiIhHtmyB\nO+6ACy6A117zOpoAOXoU5s/XtIwBoERdRERExAPx8XDbbXDsGEybFuFTMaa0eDEcPqyylwBQjbqI\niIiIBwYPdlONT54MtWt7HU0Axca6bx2tWnkdScRTj7qIiIhIiM2adbIu/bbbvI4mgKyFOXOgdWso\nVszraCKeEnURERGREFq71k3F2KRJHqpLT/brr/Dbbyp7CRAl6iIiIiIhsm8fdOoEJUrAjBl5qC49\nmaZlDCjVqIuIiIiEQGIidOkCmzbBwoV5ZL70tGJjoX59NzWj5Jp61EVERERC4Omn4fPP4Y034PLL\nvY4mCA4edDO+qDc9YJSoi4iIiATZpEnw/PPQuzf06eN1NEEyfz4cP65EPYCUqIuIiIgE0eLFcNdd\n0LKl603Ps2JjoWRJaNbM60jyDCXqIiIiIkGybp0bPHrWWTB9OhQp4nVEQWKtS9Tbts3DTzL0lKiL\niIiIBMHOna4KJCrK5bBnnOF1REG0ejX89ZfKXgLM70TdGPOdMaa7MSYqmAGJiIiIRLpDh6BDB9i1\nCz77DGrU8DqiIEuelrFdO2/jyGOyMz1jPDAeGGmMGQ+MtdauD05YIiIiWTt+HPbsgQMH4NgxOHr0\n5H18PBQsCIUKuVvhwu6+RAk4/XR3K1YMjPH6WUhec/QoXH89/PgjzJzpFjbK8+bMgUaNoHJlryPJ\nU/xO1K21LY0xdYE+wB3AA8aYb4C3genW2vggxSgiIvlMfDz8+Sds3uxuW7acvN+9G/75x90OHsxd\nO4ULu4S9bFmoUsXNa518X7UqnH22qy1Wya34Kz4ebrnFTYAyfjx07Oh1RCGwdy8sWQIDB3odSZ6T\nrQWPrLUbgIeMMQOBW4DewCTgb2PMB7he9t8DH6aIiORFR4/CmjXwyy+wfv3J28aNkJCQ+tjy5eHM\nM6FiRWjQAMqUcQl22bJQqpRb4bFoUVcPXLSoS8KTktx54uNP3h865FaHTHnbvRu2boUFC2DbNrcw\nTbKCBd3aLXXruluDBnDhhXDOOUrgJbXERLjzTpg9G956C+64w+uIQmTuXPfL1r6915HkOTlamdRa\newz40BjzC/AqcAXwGPCIMWYGcJ+1dkfgwhQRkUh39CisWOFuP/4IK1fC2rUnE/JChaB2bbeoYadO\nUKeOq+s980zXux2qpdYTE90gwC1b4NdfYcOGk7cFC+DIEXdckSJw7rkuaW/c2C1g06ABFNA0DfmS\ntdCvH0yeDCNGQP/+XkcUQrGx7pvzxRd7HUmeY6y12XuAMcWA24G+QGNgPTAamAZ0BGKA9dbaKwMa\naS40adLELl++3OswRETylV274LvvTt5WrHA92gAVKrhy1gsvdPfnnQe1arle8HCWlAS//ea+aCR/\n2fjxR1eGA66M5rLL3DTSzZq5vCVKUzDkeUlJLkkfOxYGDYJhw7yOKISSktxlrrZtYeJEr6PxnDFm\nhbU2YKMS/O5RN8ach6tP7wqUAGYBj1trF6Y47B1jzA5c0i4iIvnI7t2uLverr+Drr11vNLie54su\nggEDXK/zRRdBpUrexppTBQq4Xv/ateHWW902a+GPP9yXkW+/dbfkCTCKF3eL3Fx1lctj6tfX4NW8\nJiHBLWY0YQI8+SQ8+6zXEYXY8uXul19lL0GRndKXn4BtwEhcLfr2DI7bCMTlNjAREQlvR47AN9+4\nxHzePFi1ym0//XS44gro1cv1KjdunLd7lY1xVwNq1YLu3d22f/5xCftXX7ny3eTEvUoVl7RffTVc\ncw2ULu1d3JJ7x49Dly7wySfw3HMuUc93YmPdL8HVV3sdSZ7kd+mLMeZGYKa1NjHLg8OMSl9ERAJj\n82Y3UG72bFi0yE2FWLiw6ylv08b1Gjdu7AZgykmbNrkvM3PnuuR93z73urVs6erxr7vO1eFL5Dhy\nBG6+2c1K+Npr8OCDXkfkkYsuch/mJUu8jiQsBLr0Jds16pFIibqISM4kJbna8k8/dcn5Tz+57XXq\nuCvdV10FzZu7ucnFP4mJ8P33MGuWm2M7uUSoSROXtHfu7GaUkfC1a5ebJ33pUhg9Gnr39joij+zc\n6erTn30WnnrK62jCghL1HFCiLiLiv+PHXa/vjBluRcUdO1xtdrNmbk7ojh3dNIWSe9a66SiTk/al\nS932c8+F225zdfBnn+1tjJLa+vVw7bXu92LiRPfFKt8aPx569HAjqhs18jqasKBEPQeUqIuIZO7Y\nMVea8fHHLmnctw9KlnSrgXfs6O7LlvU6yrxv2zaYPh2mTnU17uBKiW67zS2iU62at/Hld4sWucS8\nSBF3hSnfz0Z4yy3ug7p1q0ZJ+yhRzwEl6iIipzp2zNVMT5vmSlv273eDGzt1crW3bdrk7UGg4W7L\nFvfeTJkCy5a5bZdddjJpr1DB2/jyE2thzBi4/353hSM21s3xn6/Fx0N0NNx4I7z3ntfRhI1AJ+oR\nsSyDMaalMcamc9vndWwiIpHk+HHXE9i9u1vp87rr3M+dO7tBcbt2wbhxrv5cSbq3zjwTHnoIfvjB\nzd3+/PNuVdX774fKld0kG+PHw4EDXkeatx065H5f+vWDK690YybzfZIOEBfnvt1rWsagiogedWNM\nS2AhcD+wLMWuBGttll3l6lEXkfzMWpdcTJzoSir27IEzznDJ+U03ueSjSBGvoxR/rV3rVr+cNAl+\n/919oerY0U0T2K5d6FZwzQ82bHAdxmvXwtChbjEjrTzr88QT8Morbi7SUqW8jiZs5MvSlxSJeltr\n7VfZfbwSdRHJj9avd8n5xIluQZ5ixVxZS9eubraWcF8FVDJnrettnzTJlcfs2uVKl2680SXtLVtq\nmsycstZdWbr/fvfFZ/JkVwomKZx3nit9WbDA60jCSr4sfREREf/s2AEjR7qp/urXd+UStWvD//7n\nZlKbNMldqVaSHvmMgaZN4fXX3Vi+uXPdVZJp01xSWbWqWw122TKXeIp/tm1zVyjuvhsuvBBWrlSS\nforNm2HNGpW9hECkJeoTjTGJxph/jDGTjDEa/y4i+d6//8KHH7qa5SpVXHIGbhGWv/6CL790NbYl\nS3obpwRPoUJusakPPnBfyD7+2A08HTXKzUxSpw4MGeKuskj6rIUJE6BBA9dJ/PrrsHChFqJKV/JS\nu9de620c+UCklL40AroCi4EDQCPgSSAeaGSt3ZXZ41X6IiJ5TXy8m05xwgQ3//aRI26AW7durrSl\nXj2vI5RwsG+fmw9/4sDPYWIAACAASURBVESXfFrreom7dHFztCsJdX75xX3BnTfPfcEZN85diZIM\ndOzoXrTfftO0jGnkyxr19BhjLgR+AIZba09ZDssY0xvoDVCtWrXGf/75Z4gjFBEJrOSa5AkTXE3y\n339DmTIu4erWDS69VP9nSsa2b3eDiSdNcuUwxkCLFi5pv/FG91nKb/bsgZgYd+WhVCl45hk3u4tq\n+zNx9Kj7sNx9N7z5ptfRhB0l6ikYY9YCW6y1V2d2nHrURSSS/fqr6xGdMMF1YBUt6qZV7NbNlbto\nxhbJrl9/PTlzzIYNbsxCu3Yuae/YEYoX9zrC4Dp4EN5+G0aMgL17oU8fl6SXK+d1ZBHgiy/chyU2\n1t1LKoFO1AsF6kQeMUDkftMQEcnArl2u93PCBNeLbgy0bg1PPQU33KDZ0CR3ateGp5+GwYPdYMlJ\nk1zi/umnUKKEG5R6++2u7j0vDTw+cMB1Ar/6qptVsG1bePllOP98ryOLIHPmuCmkWrb0OpJ8IWJ7\n1I0xTYClwDBr7ZDMjlWPuohEgkOHXL35hAmuVjYxERo2dD3nt93mBoqKBEtiInzzjUvap01z9e2l\nS8M110CHDu4+Unucf/0V3nkH3n3X9aBfe637knLJJV5HFmGshbPOciNuZ8/2OpqwlC9LX4wxE4E/\ngB+BfbjBpAOBw8CF1tq/M3u8EnURCVcJCakHhR4+DNWruxKErl3d/4cioXbsmJstaOZMV+Gwc6db\n6OeSS9yMfK1buylAC4XxdfmjR90VgjFj3EDaggXdOgIDB0Ljxl5HF6HWrYNzznF1Q337eh1NWMqv\npS9rgNuB+4DiwA5gOjAkqyRdRCTcJA8KnTjRDQrdvdutFNq9u0vOL79cqx+Kt6Ki3DiI666DpCRY\nscJVPHz2mVudE+C006B5c2jVyt0uuMD7MpkDB9wXixkz3P3Bg+6L77BhbuxjpUrexhfxNC1jyEVE\nj3puqUddRMJB8qDQiRNh48aTyVDXrq6sICrK6whFsrZrFyxe7OYYX7jw5NzsRYu6Uq0mTU7e6tUL\n7gwqBw7AkiXw7beubOf77+H4cShfHq6/3s1m06aNZnEJmNatXc/C6tVeRxK28mXpS24pURcRr2zf\n7up9J048OSi0VStXd37DDa4GWCSSbd/uEvdly2D5cvjxR9eTDW5GorPPhrp13aJLtWq5Xu1KlaBy\nZVfzntmsRUlJrqZ8505327LFVV+sXevuf/vNHVOwIDRq5Kab7NTJTVWq5DzA9u93b9jDD8Pw4V5H\nE7bya+mLiEjE2LULPvnEzdry9deu1KVhQze7hAaFSl5TqZL7XN92m/s5MRH+v737Dq+qyvo4/t0Q\nelFARFQEAUFAUBEpFppSBUVEUcRex4bjOKOObSyIM/YytrHNiIpYQDooAlZERGnSkfYqTZAWSkL2\n+8fK9YYYIaTcfcvv8zznOeHc3GSFnNy7zj5rr71woSXtc+ZY+8f5861sJiPj989PS7N2kOXLW+lM\nRkZ0S0+3eRw5lSplXWuaNYuWirVubaU4Uow++sh+GWecETqSlKJEXUSkCPzyi9XFvvOOTVzLyrLb\n/vfcA+edZ/OvRFJByZLQqJFtOWVm2uh7zu2XX6zbUXq67TMybIS9dGlLyMuXhxo1rJSlRg0bha9b\nN3wtfEoaPRoOPNBuV0jMKFEXESmgX3+1rhjvvAMff2yJSP361lXivPOgaVOtFCoSkZYGtWrZJgkm\nKwvGjrUV1uK51U8S0v+2iMh+WL/e2gd/8AFMmGAT1+rUgVtugb59rU5WybmIJJUZM2ySgMpeYk6J\nuojIPqxcaSPnw4bZpLmsLDjiCLj+ekvOW7ZUci4iSWz0aHuR69o1dCQpR4m6iEgeFiywUfNhw6yb\nBVid+R132PLqzZsrOReRFDF6tI1IVK8eOpKUo0RdRITooi4ffmgJ+rx5drxlSxg0yJLzhg3Dxigi\nEnNr1thoxf33h44kJSlRF5GUtWWLdRwbNSq6THrJktC2LVx3nfVjPvzw0FGKiAQ0bpztVZ8ehBJ1\nEUkpS5ZYYj5qlNWbZ2RYx7GuXe19qGtXW9NDRESwspeaNW2mvMScEnURSWq7dtkS45HkfMECO96o\nEdx8syXnJ52kvswiIr+TkQHjx8O552pSTiBK1EUkqXgPixZZ68QJE2DSJFvOvHRpaN/eOrWccYYt\nmiIiInvxxReweTN07x46kpSlRF1EEt7GjTBxYjQ5X77cjterBxddBJ07w+mna4lxEZH9Mnq03W7s\n1Cl0JClLibqIJJyMDPj662hi/s031rWlcmU47TS4/XZ7X6lXL3SkIiIJbMwYm11fqVLoSFKWEnUR\niXu7d8PMmTB5spWyfPqp3Y0tUQJatYK777ZR85Yttbq1iEiRWLYMfvgBrrwydCQpTW9pIhJ3srKi\nifnkyZaY//qrPdagAZx/PnTpAh06QJUqISMVEUlSo0fbXvXpQSlRF5HgsrJg9mwbLY8k5hs32mNH\nHWUNB9q3h3bt4LDDQkYqIpIiRo+2+sEGDUJHktKUqItIzGVlwZw5e5aybNhgj9WrB71722h5u3Za\ncEhEJObS0+3F+eqr1ZYxMCXqIlLssrKs1DEyYj5lCvzyiz1Wt66tANq+vW21agUMVERE4JNPYMcO\nrUYaB5Soi0iR894S88iI+ZQpsH69PVanDpx5ZrSUpXbtgIGKiMjvjRxp/WzbtQsdScpToi4iheY9\nzJsXnfw5eTKsW2ePHXGEDcpERszr1AkVpYiI7FNWli3j3KULlCkTOpqUp0RdRPab97BwoY2WR8pZ\n1q61x2rVgm7doon5kUcGDFRERPbPjBnw00/Qs2foSAQl6iKSD97DkiV7JuY//2yPHXaY9TDv0CGa\nmGvukYhIgho50hapUFvGuKBEXUTytGxZNDGfNAlWrbLjhxxiSXkkMa9fX4m5iEjSGDkS2rSB6tVD\nRyKkSqLufegIROLeypV7jpgvW2bHq1e3hDySnDdsqMRcRCQprVwJ330HDz8cOhLJlhqJ+ooVlqwr\nuxD5zebNlpR/9JFtCxfa8apVLTH/y19s36SJ/nRERFLCqFG2P/PMsHHIb1IjUV+/Hp59Fm68MXQk\nIsFkZsK0adHEfOpU2L0bype3hPzaa6FjR2ja1MoTRUQkxYwcaavOHX106EgkW2ok6gccADffbPfs\nO3cOHY1ITHgPixdHE/NPPrFRdOegRQu47Tbo1MlKEdWBS0QkxW3dChMnwnXX6TZqHEmNRL1uXRtO\n7NsXvv4aGjQIHZFIsdi2zRLyMWNg3LhonXnt2nb6d+pko+bVqgUNU0RE4s1HH8GuXSp7iTOpkaiX\nKAEjRsCJJ1pf0KlToUqV0FGJFImlS2H0aEvOJ02CnTuhQgU4/XT4618tOVdnFhER2auRI60C4ZRT\nQkciOaRGog62HOL771v2cv75ltmkpc6PL8lj1y74/HNLzEePhvnz7fhRR8Gf/mSrgJ56qspZREQk\nn3bvtomk3btDqVKho5EcUitTbdsWnn8errwSbr0VnnwydEQi+bJhgyXlH34IEybAli1QujS0a2eT\nQLt3t0RdRERkv02bBuvWaTXSOJRaiTrAFVfA7Nnw1FNwzDGWtIvEoVWrYPhw2yZPtgGPmjXthlD3\n7nZzqGLF0FGKiEjCGzkSSpaErl1DRyK5pF6iDvDoozBvns1sbtDARtpFAvPeTsvhw2HYMJg+3Y43\nbGi15r162TQLtU4UEZEiNWKE5UKavxd3UjNRT0uDd96BVq3gnHPgm2+shl0kxry3O44ffGAJemTR\noZYt4aGH4Oyz1c5WRESK0Y8/wty5VnEgcSc1E3WAAw+0Wz2tWlkroi++gEqVQkclKcB7Gy0fOtS2\nFSvs2rF9exgwwE7Hww8PHaWIiKSEkSNtr/r0uJS6iTpY2cvQodCtG/Tvb/UGqiuQYuA9fPddNDn/\n8UdLzjt3hgcesNdH3XEUEZGYGzECGjWyPr4Sd5SVduoETzxhJ+pdd4WORpKI9zBzJtx5p10TnnAC\nPPaY1Zy/+iqsXWudXC6+WEm6iIgEsGkTTJmi0fQ4ltoj6hE33ABz5sCgQdYJpl+/0BFJAps716ZA\nDB0KCxbYRPqOHeG226zmXKuCiohIXBg/3lZuV6Iet5Sogy3Z+MwztnLM5ZdDvXpWuy6ST6tWwdtv\nw5tv2ih6iRLQoQPccosl59Wrh45QREQklxEjbPSoTZvQkcgfUKIeUbq0rVzasqXN5vv6a3WCkb3a\ntMlOmcGDrc+599C6tV3znXsu1KgROkIREZE/kJkJY8dCjx5261fikhL1nA46yIqGTzrJVpT58kvr\nDiOSbdcue10bPNgmyu/caSuC/uMfVjGluTgiIpIQPvvMlr0+66zQkcheKFHPrVEj6/7SubP1WB87\n1kbbJWVlZdk12+DB8O679rpWvTpccw1ceKEtQuRc6ChFRET2w7BhULYsdOkSOhLZCyXqeWnfHl5+\nGS65xLKxV19VJpaCfvjBas7ffBOWL4fy5a3e/MIL4fTToVSp0BGKiIgUgPe2yl7nzlChQuhoZC+U\nqP+Riy+GpUvhvvusnuHOO0NHJDHw008wZIiNnn/3nU0K7dwZBg60u4MVK4aOUEREpJBmzICVK+H+\n+0NHIvugRH1v7r0Xliyx/up168IFF4SOSIrBli3wwQeWnH/yiZW6nHgiPPUU9O2rSaEiIpJkIgs8\nqi1j3FOivjfOWQnMihVw6aW2rvupp4aOSopARgZMmGDJ+Ycfwvbtdi12111W2tKgQegIRUREisnw\n4dC2rRb2SABK1PelTBm78jzpJOjVy2YVNmwYOiopAO9h2jRLzocMgfXr7TXqssugf39rraipCCIi\nktQWLbKV+Z56KnQkkg9K1POjatVo28bOnS1ZP+yw0FFJPi1aZBNCBw+2SqayZa3evH9/+3WqqY+I\niKSMYcNsr7aMCSElEnXvi+CL1KtnrRrbtYOuXa3/qHqsx6116+Cddyw5//prGynv2NFKW3r3hsqV\nQ0coIiISwPDh0Lw51K4dOhLJhxKhA4iFWbPgppssYStU0t68uV2JLlhgq5du315kMUrhpadbSUuP\nHlCzJtx4I+zYAY88YpPbP/7YphooSRcRkZT088/w1VdWyisJISUS9YoV4aWXrAa5QQNbRXLRogJ+\nsdNPhzfegM8/t6Uod+8uylBlP+3YYddO559vixBdcAHMnAm33moXaN9/bx+rUklERFLehx/a/uyz\nw8Yh+ZYSiXq9erB6NbzyChxxhLUNbdAAWraEp5+GNWv28wv27WuTMIYPh+uuK6LaGsmvXbtg1Ci4\n6CI4+GArZZk40VrfT5pkixM9/DA0bRo6UhERkTgyfLitDdOkSehIJJ9SIlEHKye//HJL6FautHKI\njAwYMMBGW7t2tXrmrVvz+QVvvBHuuMOG6u++u1hjF/tdjR9vv8MaNaz16+jRcN551mbx55/h+edt\nUdkSKXNWi4iI5NOmTbZYSK9eanGWQFJiMmluhx1m5RC33modit58E956y0Zoy5e3idD9+kGnTtad\n8Q8NHGizFgcOtPqa22+P2c+QCrZvtyR8+HAYORJ++QUqVbI7dn37WhWSOraIiIjkw5gxNuqlspeE\n4nwKlG20aNHCT58+fa+fk5VlXRfffBOGDoUNGywp7NEDzjnHRtwrVMjjibt3W83FW29ZOcxNNxXP\nD5EiNmywspbhw20EPT3d7oaccQb06WO/h7JlQ0cpIiKSYM47Dz79FH76Sbeei5Fz7lvvfYsi+3pK\n1H9v1y4rkXn/fUsYf/kFypWDbt0sae/RI1fnkMxM+wMYNgz+8x+48sqi/yGS2OLF1vly+HCYMsWu\nfQ47zO7O9eplHTFLlQodpYiISILascM6LvTrBy++GDqapKZEvQD2N1HPKTPTLkDffx8++MAmpZYu\nDaedZqO83brZ0vPs3GlZ5fjx1hXmwguL9odIIunpMHmyJefjxlmiDtCokf0Xnn02nHCCLvhFRESK\nxKhRNrlr7Fi7NS3FRol6ARQmUc8pUh7z/vswYgQsXWrHGza0hL3Hadvp8Eh3Snzxma22c845hf6e\nySAz09okTpliNedTpth1TblytghR16621a8fOlIRyZfMTNi40W43rl9v+23bbNRu507bA6SlRbfy\n5a2OLbLVqAHVqmlSm0gsXHqp3bZes2Yfk++ksJSoF0BRJeo5eW+92MeOtW3yZHt/OrjcFiaV6ULD\nzd+wdOAQjrz1HNJSbMpuZiZ8950l5JMn2yKumzfbY0cfbRc13brBqaeq3lwkLu3YAQsX2ovcsmXW\n8zSyrVxpk0mKQrlyUKuW9c2tVw+OOSa6HXRQ0XwPkVS3a5ddGJ95Jvz3v6GjSXpK1AugOBL13LZt\ni5ZzTPtoE08u7EZLpnFVmTdY3eEC2raFVq2gRYvkWxlzzRpb9XXaNNt//TVs2WKPNWxoLRPbt7da\n85o1Q0YqInvYtQtmz7b2Vz/8APPm2X7pUruFGFGpki03Xru2JdXVq1siXa1adKtUya68y5SxrUQJ\nm3CSmWmdJtLT4ddfbSR+40Z74Vixwrbly+3C4Ndfo9/z8MPh5JNtO+UUaNYMSpaM/f+RSKIbOxa6\nd7dSgJ49Q0eT9JSoF0AsEvXc1i7ZguvZg2rzP+fOmq/x8E8XA3aX9+ijbbGlE0+EY4+1dQeqVIlp\neAWSlWXv37Nn26qfs2fD9On2Hgv2Htqsma0A266dbYccEjZmEclh1SpbPnzqVNvPmGG3AsFmbDdo\nAI0b24SRxo3t33XqWKlKcZeoeG8LIsyZYy8u33xjK0D/3//Z41WqQJcuNpu/a1e7OBCRfbv8cqvZ\nXbtWZS8xoES9AEIk6oANs595JkyaxNYn/8MXDa9g2rToyPO6ddFPPfRQS9ibNLFR6COPtPfH2rVj\nWx7ivcW1eDEsWRLdL1xoA23bttnnOWc15ccfb3cKWrWyj8uXj12sIrIXO3ZYIp4zMY8kvWXL2ozt\nNm3sj7dpU5sVH2/tlby3EfcvvoCPPrI+0GvX2mj9KafYpP0+faBq1dCRisSnjAwreznjDGt0IcVO\niXoBBEvUwVbt6d3b2pv8+99w3XWAvf+sXGmDR3Pm2J3nyN3n7dv3/BI1a1rCXr3677eKFa3MM+eW\nlmZ3nLOyovuMDCtH2bx5z23tWmup+vPPtq1eHR1gA3s/zFk+2qyZvac3aaKkXCRuRBLanEn5d9/Z\nHz7YVX+bNra1bm238hJxtbCsLLuNN3q0LXgxf75dXJxxhq1n0bMnKTcpSGRvxo+3O1DDh9tqjlLs\nlKgXQNBEHSzzPe88qw97+GH429/+8Dby7t2WMC9bBj/+GN2vWGHNFdatsy3y/ltYVarYhUBkO/RQ\n62Fev74l53Xq6E6ZSNzZvt0S1khSPnWqvXCAXa2feKIl5JHEPBlr0Ly3i5HI0tKrV9vE1D/9Ca66\nSpNRRcDWdRk61Ebl1L0hJpSoF0DwRB1s0tYll8CQIXDzzfDYYwVuFO69jYavX2+lKOnp9r4d2TIz\nrV68RAnbR7bKlffcKlXS4JNI3PPertZzjpbPnGl/6GBX1JGkvE0bu+UVbyUsxS0z0/pEP/usrVZX\npoyVxdxxh/q+SurKyLCL9K5d7YJWYqKoE3WlabFSurT9odSoAU8+aR0PXn+9QLefnYMDDrBNRJLM\ntm02kTLnaPnatfZYhQo2Wv7Xv0bryw8+OGy88SAtLbqU8Q8/WML+2mv2GnvhhXDnnTb5RySVTJ5s\nrVT79AkdiRSCRtRjzXv417/g9tuhUyebiV2pUuioRCSErCzrVT5tmiXlX31lHU9277bHjzpqz9ry\nY47RbbD8Wr0aHn0Unn/ebjVecAEMHGj1fCKp4Oqr4e237UK/XLnQ0aQMlb4UQFwl6hGvv261Y40b\nw8iRNltURJLbmjXRtk/TptnIeaR3eMWKNkIeScpbt1YLwqKwbp2VGj79tF0Y3XyzlcTolqQks8xM\nm3h2+umWrEvMKFEvgLhM1AEmTIBzz7Ur3Q8/tDdpEUkOGzZYLfm330aT8xUr7LGSJW10vFUrW1Sh\nZUu7aNeCPsVn1Sorgfnf/6xl1gMP2KTTAs4VEolrEydakv7ee3DOOaGjSSkpm6g752oBTwCdAAd8\nDNzsvV+xr+fGbaIOVk/Zs6f1N379dTj//NARicj+yMqyBQdmzrTt++9tv2pV9HPq1Ikm5JFFBypU\nCBZySvv2W7jlFvj0U7tr8dJLNgFXJJlce631TV+3Tr2UYywlJ5M658oDnwA7gUsADzwITHLONfPe\nbwsZX6E0bmwjbWefbTWUs2fD/fdrZE0k3uzYYfXk8+fDggW2zZ8P8+ZFVwIrWdKWHm7bFo47zvqV\nH3ecJnzGkxNOsEl2b74Jf/4zNG8Ot94Kd9+thEaSw+7d8MEHtoqvzumElxCJOnAVUBdo6L1fDOCc\nmwUsAq4BHg8YW+EddBB8/DHccAM89JDdJn/7bfUBFokl763n6fLltoBBZL9kiSXky5bZ50TUqmVJ\n+RVXWEJ+7LG2Eph6Fcc/56B/f+jWzTroPPwwvPuujUC2aRM6OpHC+fRTG0lXt5ekkBClL865iUBZ\n7/3JuY5PAfDet9vb8+O69CW3V16B66+3Ebj33rNb5SJScDt3wsaNNpFz9eroPufHP/9siXl6+p7P\nrVzZ+pQ3bGhJecOGtjVooNKVZDJ5Mlx2mc0h+Pvf4Z57Uq8XvSSP666zUtp16/Q6FUBK1qg751YD\nH3rvr8l1/DngXO999b09P6ESdbAayj594Kef4JFH4MYb/3AlU5Ei570ltzt3Wv11VpbdSo18vLd/\ne//7/R99nN9ju3ZZ2cmOHdZmL6+Pt22DTZusg0ru/Y4def+c5cvbYiA1ati+Th3rvlSnTvTjAw+M\n4X+8BLV5MwwYYAnOCSfA4MF2cSaSSDIzbYnx9u1tRVKJuZSsUQeqAhvzOL4BqBLjWIrfCSdYsn7J\nJfbGMXasLd6RjMuAS9Hw3rqMrFlj24YNlqhGtkjiGtm2bYsmubm3nTtD/zT5V6qUdU0qV86S6gMO\nsP0RR9g+cqxKlWhCHtlXrBg6eoknlSvb62zPntZ/unlzeOEFuPji0JGJ5N/EiTaSfsEFoSORIpIo\niTrYBNLc/nCY2Tl3NXA1wBFHHFFcMRWfqlVhxAhbrOMvf4FmzeDVV21yiKSWbdvslvzy5dHtp5+i\nSfmaNbagRWRJ+bxUqhRdzjaSzJYtu/etdGmbHFmihG05P87r35HNOdsiHxfmmHMWR7lye8ZWrpwt\nE69J11LUeve2OvV+/Wyw5PPPrQe75h5IInj7bbvo7NYtdCRSRBKl9GUNMDxlSl9y++EHe9OYOdMm\nrj36qG7JJ5stW6KdRCLbkiWWlK9fv+fnpqVFR4b/aKtWLTqaXKmSElqR/ZWZabXqgwZZ55733rP5\nCiLxascOe/3v3dvuDkkQqVr6MhdoksfxxsAPMY4l9iItHO+5x1bYGz0a/v1v+2OUxPLrrzBrll10\nzZ0bTcp//jn6OSVKWI10/fpWBlW79p7boYcq8RYpbmlp1oXrpJPgoovsb3HoUOjcOXRkInkbM8bm\nWqjsJakkyoj6zcCjQAPv/dLsY3Ww9oy3e+8f29vzE35EPacZM2xU/fvvLVF/+mk47LDQUUluWVmw\ndGl0EZzItnx59HOqVo12EcnZTaR+fSvrEJH48OOPcNZZdnH9xBOa4C/xqU8f+OwzW0AxLVHGYZNP\nqnZ9qQDMBLYDd2H16g8AlYBm3vute3t+UiXqABkZ8Pjj8I9/2Ojr3/9uK+2VKxc6stS1aZPd9fjq\nK9umTrVjYKPfDRtan+1mzaI9t2vW1Ju9SKLYssV6r48YAVddBc8+a/MnROLB5s3W1vmqq+CZZ0JH\nk9JSMlEHcM4dATwBdMImkU4EbvbeL9vXc5MuUY9YutQW6/jgAyuJePRROOccJX/FzXtYuNAS8i+/\ntP3cuXbcOTjmGLtdfuKJVtvauLEuokSSQVYW3HWX1a23awfDhllHIZHQ/vc/m/z8xRf2/iPBpGyi\nXhhJm6hHTJoEN99stc+tWsH990OnTkrYi8rWrbZabCQxnzrV2h+CTdhs3dq6RJx0ki1QVbly2HhF\npHgNHmwliPXrw7hxtkqtSEjdusG8eVampff+oFJ1MqnsTYcOVrv+6qvwwAPQpQucfLIl7B066I92\nf3hv3VYiJSxffWUXQFlZ9njjxnD22dHEvGFDKz8SkdTRv7/NDerVy14Lxo6Fpk1DRyWpat06+Ogj\nu8Ou9/ukoxH1ZLNzpyXsAwfahJJWreDPf7aSGE0u+b30dJg+PVrC8tVX9qIH1tYwMlrepo39X+o2\nt4hEzJplI5nbtsHw4bYapEisPfccXH+9NSxo1ix0NClPpS8FkFKJesSOHZawP/EELF5st2ZvuMFu\n11arFjq6MLy3ris5a8tnzowuFNSgQXSkvE0bGz1XG0QR2ZsVK6BrV7sTN3SodYcRiaVTToGNG2HO\nHI2oxwEl6gWQkol6RFaW9V1/8kn45BNbcr1HD5t00r27/TtZbd0K335r3VimTrXEfPVqe6x8eRsh\nj4yWt24NBx0UNl4RSUwbNtjI+rffwhtvqI+1xM6SJTZXYtAguP320NEIqlGX/VWiBPTsadvs2fD6\n6zYRatgwqF7dSmLOOstq2RO5d3dWlk2kiSTlX39towuR2vJ69eC006Kj5U2bqhRIRIpG1arw8cc2\nCHLhhVYKc+WVoaOSVDB4sI2iX3hh6EikmGhEPRVlZMD48dbOacwYe1OpWNFu33btCm3b2hV6vN5C\n277dkvDvv49us2bZCDpYJ5aWLW2UvFUr+1ij5SJS3NLTbfBj3Di7izlgQOiIJJl5b+/VRx5pF4oS\nFzSiLoUXKX/p0cNq2T/5BD78EEaOhPfes8+pWdMS9tatowv0VK0a2zg3b4YFC/bc5syxfWSkvHJl\ni+3SS61veatWgPVn/QAAGERJREFUcNRR6sQiIrFXvrxNKu3Xz1rmZmXZZH6R4vDll7aeyr33ho5E\nipFG1CXKe0uCp0yx7dNPrXNMRK1acPTRdvUe2Q491CanVqtmify+at69txX+NmywyS8bN8L69bBy\nZXRbscL2a9ZEn1eiBNStC40awfHH20JCxx0HderE78i/iKSmzEyrU3/vPXjqKbjpptARSTK65hor\nfVmzxu6KS1zQiLoUH+csET/6aHsBAJt8OXNmdFu0yFZCXb8+769Rrpwtq12mTHR57YyM6JaeDrt3\n5/3cihXtYqBWLRslr1/f+pQ3bGg15olcQy8iqSMtDd56y17rBgyw7lHXXx86KkkmO3ZYl6HevZWk\nJzkl6rJ3hxxiW5cuex7fsgWWLbMr+fXr4ZdfbNu6FXbtsn7uO3fa55YqZW9cpUpBhQrWi7xqVdtX\nqWKj8YcfbrXlGh0XkWRQqhQMGQLnnmutcdPSogMgIoU1ahT8+itcfHHoSKSYKVGXgqlUyTqnaDU+\nEZG8lS5to57nnAPXXmsj6+oGI0Xhf/+z0tOOHUNHIsVMM+5ERESKS5kyVqvetStcfbUlWCKFsXYt\njB0L/ftrUb4UoERdRESkOJUta2tXdOwIl18OI0aEjkgS2ZAhNmH5ootCRyIxoERdRESkuEWS9ebN\n4bzzrLOWSEH897/W/eyYY0JHIjGgRF1ERCQWKlWyRebq1rXVomfMCB2RJJrvvrPz5oorQkciMaJE\nXUREJFYOOggmTLCOV127wsKFoSOSRPLKKzbvoV+/0JFIjChRFxERiaXDD4ePPrKPO3WCVavCxiOJ\nYft2W+CoTx+70JOUoERdREQk1ho0gHHjbHXmLl1sL7I3H3wAmzap7CXFKFEXEREJoXlz6wCzaBGc\nfXZ0kTiRvLz8sq3S3a5d6EgkhpSoi4iIhNK+Pbz+unWBuewyyMoKHZHEo8WLYfJkG00vodQtlWhl\nUhERkZD69YMVK+COO6B2bRg0KHREEm9efdUS9EsuCR2JxJgSdRERkdBuuw2WL4eHH7Zk/dprQ0ck\n8SIzE157Dc44Aw49NHQ0EmNK1EVEREJzDp55xjrAXH+9dYbp0SN0VBIPxoyB1as1iTRFqdBJREQk\nHqSl2fLwxx8PffvCN9+EjkjiwcsvwyGHQPfuoSORAJSoi4iIxIsKFWDUKDj4YBtR//HH0BFJSCtW\nwOjRNtG4VKnQ0UgAStRFRETiySGHwNixkJFhyfqmTaEjklBefNH211wTNg4JRom6iIhIvDn6aHj/\nfVi4EM4/3yYUSmrZuRP+8x+7WKtdO3Q0EogSdRERkXjUoQM895ytYPqXv4SORmLt/fdh3TqbXCwp\nS11fRERE4tVVV8G8efDEE9Cokdo2ppJ//xvq14fTTw8diQSkEXUREZF49sgj1vHjhhtg4sTQ0Ugs\nfP89fPklXHedViJNcfrti4iIxLOSJeHtt21EvU8fq1uX5Pbcc1CuHFx6aehIJDAl6iIiIvGucmUY\nOdJa9PXoARs2hI5Iisuvv8Kbb0K/flClSuhoJDAl6iIiIomgTh0YNgyWL4dzz7X2jZJ8/vtfSE+3\nshdJeUrURUREEsXJJ1vLvk8+sZp170NHJEUpK8smkbZqBc2bh45G4oC6voiIiCSSiy+2TjAPPwyN\nG8OAAaEjkqIyejQsWmRzEkTQiLqIiEjiGTgQevWCW26B8eNDRyNF5bHHoFYtOOec0JFInFCiLiIi\nkmhKlIA33oBjjoG+fWH+/NARSWF9+y1MmWJ3SEqVCh2NxAkl6iIiIomoYkUYMQJKl4aePdUJJtE9\n/jhUqgRXXhk6EokjStRFREQSVe3a0U4w552nTjCJauVKeOcdS9IPOCB0NBJHlKiLiIgkspNPhpde\nslVLb7kldDRSEE8/bXtNDJZc1PVFREQk0V16KcyZY5MRmzSBa68NHZHk15YtdqHVp4/dIRHJQSPq\nIiIiyeCf/4Tu3eHGG2HSpNDRSH698gps3qy7IZInJeoiIiLJoGRJ67/doIG191u8OHREsi8ZGfDk\nk3DKKdCyZehoJA4pURcREUkWlStbJxjn4MwzYdOm0BHJ3rzxhk0EvuOO0JFInFKiLiIikkzq1YP3\n3rMVLi+4AHbvDh2R5CUzEx56CJo3h27dQkcjcUqJuoiISLLp0AGefRbGjoXbbgsdjeRlyBBYsgTu\nusvugIjkQV1fREREktE11+zZCeayy0JHJBFZWTBwoK0se9ZZoaOROKZEXUREJFk98QTMn29Je4MG\n1nNdwnv/ffu9DBkCJVTcIH9MZ4eIiEiySkuDoUOhTh04+2ybuChhZWXBgw9Cw4bWO11kL5Soi4iI\nJLMqVWDkSNi1yzrBbN0aOqLUNnIkzJoFf/+7tdQU2Qsl6iIiIsmuYUMbWZ8zB/r3t1FdiT3v4YEH\noG5d6NcvdDSSAJSoi4iIpILOna1m/cMP4e67Q0eTmoYNg2+/tU4vaZomKPums0RERCRV3Hijjao/\n9JB1gtGobuzs3m0J+tFHw0UXhY5GEoQSdRERkVThnPVXX7gQLr8c6tfX0vWx8sYbMG+eLUal0XTJ\nJ5W+iIiIpJLSpS1ZPPRQ6+G9alXoiJLfzp1w771wwgnQu3foaCSBKFEXERFJNQcdZN1Htm6FXr0g\nPT10RMntxRdhxQorOdIqpLIflKiLiIikoiZN4O23YcYMW7XU+9ARJaeNG+G++6BjR+jUKXQ0kmCU\nqIuIiKSqHj3gn/+01o0PPBA6muT04IOWrD/+uEbTZb9pNoOIiEgqu/VW6wRz773QqBGce27oiJLH\n4sXwzDM2cffYY0NHIwlII+oiIiKpzDl46SU46SS4+GL48svQESWPv/3NJu8++GDoSCRBKVEXERFJ\ndWXK2EJItWpBz56wYEHoiBLfpEm2wNEdd8Ahh4SORhKUEnURERGxTjBjx0LJktCtG6xZEzqixLVr\nF1x3HRx5JNxyS+hoJIEpURcRERFTrx6MHm1J+hlnWPtG2X9PPAHz59viUuXKhY5GEpgSdREREYk6\n8UR45x347jvo2xcyM0NHlFhWrID777f+9N27h45GEpwSdREREdlTjx7w3HMwZgz86U/qsb4/Bgyw\n/ZNPho1DkoLaM4qIiMjvXXMNrFwJAwdC9eq2qqbs3XvvwfDh1pu+du3Q0UgSUKIuIiIieXvgAVi/\nHgYNggMOgNtuCx1R/Fq/Hq6/Hk44QRNIpcgoURcREZG8OQf//jds2QK3327J+rXXho4qPg0YYCuQ\nfvwxpCm9kqKhM0lERET+WMmS8PrrsHmztRysXBn69QsdVXwZMQLeegvuuw+aNg0djSSRhJhM6pxb\n5pzzeWy9QscmIiKS9EqVgqFDoX17W7105MjQEcWPNWvgqqvg2GPtroNIEUqIRD3beKBNrm1K0IhE\nRERSRblytnpp8+Zw7rlW4pHqsrLg0kvtbsNbb0Hp0qEjkiSTSKUv6733U0MHISIikrIqVbLVSzt0\ngJ49reSjU6fQUYXz9NMwbhw8/zw0bhw6GklCiTSiLiIiIqFVqwaffAINGliyPn586IjCmDHDuuCc\ndZa1shQpBomUqPd0zqU753Y656aqPl1ERCSQgw6yZL1RI0tUx44NHVFsrV8PvXtDjRrw8svWHUek\nGCRKoj4SuBHoAlwI7ACGOef6B41KREQkVVWrBhMnWslHr15WBpMKMjPhggtg9Wr44AO7aBEpJjFP\n1J1zp/9BB5fc2+TIc7z3N3rv/+e9/8x7/x5wGjAdGLSX73O1c266c276unXriv8HExERSTVVq1qy\nfuyxNsL82muhIyp+d95pE2mffx5atAgdjSS5EJNJvwQa5ePz0v/oAe/9bufcu8A/nXM1vfc/5/E5\nLwEvAbRo0cIXNFgRERHZiypVrAymd2+4/HJYtw7++tfkLAd55RX4179s0afLLgsdjaSAmCfq3vt0\nYH4RfKnIK4CScBERkZAqVoRRo6zH+m23wdq1ltCWSJQK23wYN84mjXbpYt1eRGIgkdoz/sY5lwac\nC6zw3q8OHY+IiEjKK13aeolXrw6PPQarVsGrr0L58qEjK7wZM6BPH1t19N13bQEokRiI+0TdOXcB\ncBYwBlgJ1ACuB04ALggYmoiIiORUooSNNteqZat0Ll4Mw4fD4YeHjqzgZs2Czp1t8uyYMdZLXiRG\nEuGe1I/AwcAjwATgRWAn0NV7PyRkYCIiIpKLc/C3v9kqpgsWwIknwtdfh46qYObMgdNOg7JlbdJs\nzZqhI5IUE/eJuvd+qve+o/e+hve+lPf+AO/96d77FF1hQUREJAH07AlTp1rpS7t2VgbjE2ha2axZ\n0LGjlfRMmgT164eOSFJQ3CfqIiIikqCaNIFp0+CUU+CKK2yy6ZYtoaPat4kTLebSpa2jzVFHhY5I\nUpQSdRERESk+1arB+PFw33022bRFC0ve49XgwdCtG9SubXcEGjYMHZGkMCXqIiIiUrxKloR77rHR\n6fR0aNMG/v532LkzdGRRu3bBzTfDRRfBySfDZ58l9iRYSQpK1EVERCQ22rWzCZqXXgqDBsHxx1v9\nd2jLl0PbtvDUU3DTTXYH4MADQ0clokRdREREYuiAA2yFzzFjYMcOm7DZty+sWBH7WHbvhmefhWOO\ngR9+sB7pTz1ltekicUCJuoiIiMRet24wd67Vro8YYRM2b7wRfv45Nt//m2/g1FPte7ZpA99/b4sa\nicQRJeoiIiISRrlyVru+cKGVw7zwAtStC1dfDbNnF8/3nDkTevWCli1h0SJ44w0rdalbt3i+n0gh\nKFEXERGRsGrVghdfhPnzoX9/S56bNbOa9hdegHXrCvf1t2+3bi5t28Jxx8HkyfDAA7B0qX0/54rk\nxxApas4n0uIDBdSiRQs/ffr00GGIiIhIfvzyi9Wxv/aaJe8lS0Lr1pa4n3oqNG0Khx76xwn21q1W\ncz5tGowdaxNWt2+HevXgqqtsxL5Kldj+TJISnHPfeu9bFNnXU6IuIiIiccl7K4EZOhQ+/himT7cJ\noGArntauDZUqQYUKkJkJmzbBhg2walX0axx1FHTtauUu7dtDCRUTSPFRol4AStRFRESSwNatNgl0\n/nyra1+50o5t3QqlSllHmQMPtOT8mGPg2GOhTp3QUUsKKepEPa2ovpCIiIhIsapYETp0sE0kBej+\nj4iIiIhIHFKiLiIiIiISh5Soi4iIiIjEISXqIiIiIiJxSIm6iIiIiEgcUqIuIiIiIhKHlKiLiIiI\niMQhJeoiIiIiInFIibqIiIiISBxSoi4iIiIiEoeUqIuIiIiIxCEl6iIiIiIicUiJuoiIiIhIHFKi\nLiIiIiISh5Soi4iIiIjEISXqIiIiIiJxSIm6iIiIiEgcUqIuIiIiIhKHnPc+dAzFzjm3BVgQOg6J\nOwcB60MHIXFH54XkpnNC8qLzQvLS0Htfqai+WFpRfaE4t8B73yJ0EBJfnHPTdV5IbjovJDedE5IX\nnReSF+fc9KL8eip9ERERERGJQ0rURURERETiUKok6i+FDkDiks4LyYvOC8lN54TkReeF5KVIz4uU\nmEwqIiIiIpJoUmVEXUREREQkoSRsou6cq+Wce885t8k5t9k594Fz7oh8Presc+4R59zPzrntzrmv\nnHNtiztmKX4FPS+ccy2ccy855+Y759Kdcyucc286546MRdxSvArzepHr69zhnPPOuc+LI06JrcKe\nF865Rs65d51z67PfSxY45wYUZ8xS/AqZXxzhnPtv9ntIunNuoXPuQedcheKOW4qPc+5w59wz2fli\nevb7QJ18PrdE9nvHMufcDufcTOfcOfn93gmZqDvnygOfAEcDlwAXAUcBk/L5x/AKcBVwD9AD+BkY\n75w7rngillgo5HlxPtAEeBroBtwONAemO+dqFVvQUuyK4PUi8nXqAncCa4sjTomtwp4XzrkWwNdA\nGeBKoDvwGFCyuGKW4leY8yL78Y+BtsDdwBnAy8BfgFeLMWwpfvWB84CNwGf7+dwHgH8Az2L5xVTg\nXedc93w923ufcBswANgN1M9x7EggE7hlH889FvDAZTmOpWELIo0I/bNpC3ZeVM/jWG0gC7g/9M+m\nLcx5kevrjAdeBCYDn4f+ubSFOy+wQa65wLDQP4e2uDovOmfnF51zHX84+/nlQ/982gp8XpTI8fGV\n2b/nOvl43sHATuC+XMcnArPy870TckQdOBOY6r1fHDngvf8R+AI4Kx/PzQDeyfHcTGAI0MU5V6bo\nw5UYKfB54b1fl8ex5cA64LAijlNiqzCvFwA45/phd1juKJYIJYTCnBftgcbA48UWnYRSmPOidPZ+\nc67jv2IXd66ogpTY8t5nFfCpXbDzYnCu44OBpvkpr03URL0JMCeP43OxF899PfdH7316Hs8tjd3e\nkMRUmPPid5xzjbCr4XmFjEvCKtR54ZyrAjwB/M17v6GIY5NwCnNenJK9L+ucm+qcy3DOrXXOPe2c\nK1ekUUqsFea8+BhYBPzTOdfYOVfROdcRG6V/wXu/rWhDlQTQBBtRX5zr+Nzs/T7fgxI1Ua+K1Qnl\ntgGoUojnRh6XxFSY82IPzrk04AVsRP2VwocmARX2vHgEWAi8XoQxSXiFOS8Ozd6/A0wAOgH/wm6J\nv1VUAUoQBT4vvPc7sIu4SGnUFqzEYRRwQ9GGKQmiKvCrz653ySHfOWdakYcUO3k1gM/PbSVXiOdK\n/Cuq3+2zwEnAGd77vF60JbEU6Lxwzp0KXAw0z+OFVhJfQV8vIoNcg73392R/PNk5VxJ42DnX2Hv/\nQ5FEKCEU9PWiLHbxdjA2CXUF0BJrXJEJ/KkIY5TEUOicM1ET9Y3kfRVShbyvhHPaAOTVZqlKjscl\nMRXmvPiNc24QcDVwifd+QhHFJuEU5rx4Ebujsso5d2D2sTSgZPa/t3vvdxZZpBJLhTkvfsnef5Tr\n+ARs4uBxgBL1xFSY8+IKbP5Cfe/9kuxjnzrnNgEvOede8N7PLLJIJRFsAKo451yuwZ5855yJWvoy\nF6v7ya0x+35xnAscmd2CKfdzd/H7OiJJHIU5LwBwzt2JtWYc4L1/owhjk3AKc140Aq7F3qAj28lA\n6+yPNUKWuAr7PgK/HymLjJIVdOKZhFeY86IpsDFHkh4xLXvfqJCxSeKZi7VwrZfreKQ2fZ+5SaIm\n6iOA1tl9jQHIbjx/cvZj+3puKeDcHM9NA/oCEzQ6ltAKc17gnLsJeBC403v/TDHFKLFXmPOiQx7b\nTGyyWQfgvaIPV2KkMOfFWGyCWNdcx7tk76cXTYgSQGHOi9XY6GnuphStsvf/V0QxSuIYhw0CX5jr\neH9gTnZHob0L3ZuygP0sK2Aj37OxdklnYm+eS4GKOT6vNlYXdk+u5w/BRsOuBE7D3mx3YHWowX8+\nbbE/L7AFj7KwN+DWubbGoX82bWHOiz/4epNRH/WE34rgfeTe7OMPAadjd+K2A6+H/tm0hTkvgDpY\na8aF2GJJHYC/Zh+bTo5e3NoSbwP6ZG/PY3fT/pT973Y5PicTeCXX8x7OzjFvwUqjns/ON3rm5/sm\nZI26935bdsujJ4A3sNuNE4Gbvfdbc3yqw1aJy33n4DJgIDZ6eiD2R9jVez+juGOX4lPI86Jr9vGu\n/H6UbAr2xyUJqAheLyQJFcF5cT/W1eM64FZshetHsFUIJUEV5rzw3i9zzrXGVqF8EDgIWAm8BAz0\nBe/FLfHh3Vz/fi57nzNHKMnvVye+E9iKtek8BFtg8zzv/cj8fFOXne2LiIiIiEgc0ciRiIiIiEgc\nUqIuIiIiIhKHlKiLiIiIiMQhJeoiIiIiInFIibqIiIiISBxSoi4iIiIiEoeUqIuIiIiIxCEl6iIi\nIiIicUiJuoiIiIhIHFKiLiIiOOcqOOfmO+emOedK5Tje2TmX5Zy7PmR8IiKpyHnvQ8cgIiJxwDl3\nPDAVeMJ7f7tz7mBgFjDNe39m2OhERFKPEnUREfmNc+7PwGNAZ+BWoClwrPd+fdDARERSkBJ1ERH5\njXPOAaOBjkBpoJP3fmLYqEREUpNq1EVE5DfeRm/eAMoAM5Wki4iEo0RdRER+45w7BHgSmAEc65wb\nEDgkEZGUpURdRESA38pe/gvsAjphCfs/nXPNggYmIpKiVKMuIiIAOOf+AvwL6Oi9n+KcK411gSkD\ntPDebw8aoIhIitGIuoiIRFozPgQM8t5PAfDe7wIuAOoAj4eLTkQkNWlEXUREREQkDmlEXUREREQk\nDilRFxERERGJQ0rURURERETikBJ1EREREZE4pERdRERERCQOKVEXEREREYlDStRFREREROKQEnUR\nERERkTikRF1EREREJA79P2Lo28wol+0HAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams.update({'font.size': 16})\n", "FIG_SIZE = (12, 8)\n", "import numpy as np\n", "np.random.seed(12345)\n", "from emukit.multi_fidelity.convert_lists_to_array import convert_x_list_to_array\n", "\n", "n_plot_points = 100\n", "x_plot = np.linspace(0, 1, 500)[:, None]\n", "y_plot_low = forrester_fcn_low(x_plot)\n", "y_plot_high = forrester_fcn_high(x_plot)\n", "\n", "plt.figure(figsize=FIG_SIZE)\n", "plt.plot(x_plot, y_plot_low, 'b')\n", "plt.plot(x_plot, y_plot_high, 'r')\n", "plt.legend(['Low fidelity', 'High fidelity'])\n", "plt.xlim(0, 1)\n", "plt.title('High and low fidelity Forrester functions')\n", "plt.xlabel('x')\n", "plt.ylabel('y');\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bayesian optimization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define Parameter Space\n", "\n", "The parameter space now contains two parameters: the first is a `ContinuousParameter` that is the $x$ input to the Forrester function. The second is an `InformationSourceParameter` that tells Emukit whether a given fucntion evaluation is to be performed by the high or low fidelity function." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from emukit.core import ParameterSpace, ContinuousParameter, InformationSourceParameter\n", "n_fidelities = 2\n", "\n", "parameter_space = ParameterSpace([ContinuousParameter('x', 0, 1), InformationSourceParameter(n_fidelities)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate Initial Data\n", "\n", "We shall randomly choose 12 low fidelity and then choose 6 of these points at which to evaluate the high fidelity function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x_low = np.random.rand(12)[:, None]\n", "x_high = x_low[:6, :]\n", "\n", "y_low = forrester_fcn_low(x_low)\n", "y_high = forrester_fcn_high(x_high)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define Model\n", "\n", "We will use the linear multi-fidelity model defined in Emukit. In this model, the high-fidelity function is modelled as a scaled sum of the low-fidelity function plus an error term:\n", "\n", "$$\n", "f_{high}(x) = f_{err}(x) + \\rho \\,f_{low}(x)\n", "$$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "reconstraining parameters rbf.lengthscale\n", "reconstraining parameters rbf.lengthscale\n" ] } ], "source": [ "from emukit.multi_fidelity.models.linear_model import GPyLinearMultiFidelityModel\n", "import GPy\n", "from emukit.multi_fidelity.kernels.linear_multi_fidelity_kernel import LinearMultiFidelityKernel\n", "from emukit.multi_fidelity.convert_lists_to_array import convert_xy_lists_to_arrays\n", "from emukit.model_wrappers import GPyMultiOutputWrapper\n", "from GPy.models.gp_regression import GPRegression\n", "\n", "x_array, y_array = convert_xy_lists_to_arrays([x_low, x_high], [y_low, y_high])\n", "\n", "kern_low = GPy.kern.RBF(1)\n", "kern_low.lengthscale.constrain_bounded(0.01, 0.5)\n", "\n", "kern_err = GPy.kern.RBF(1)\n", "kern_err.lengthscale.constrain_bounded(0.01, 0.5)\n", "\n", "multi_fidelity_kernel = LinearMultiFidelityKernel([kern_low, kern_err])\n", "gpy_model = GPyLinearMultiFidelityModel(x_array, y_array, multi_fidelity_kernel, n_fidelities)\n", "\n", "gpy_model.likelihood.Gaussian_noise.fix(0.1)\n", "gpy_model.likelihood.Gaussian_noise_1.fix(0.1)\n", "\n", "model = GPyMultiOutputWrapper(gpy_model, 2, 5, verbose_optimization=False)\n", "model.optimize()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAuoAAAH/CAYAAAABlPgTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzs3Wd0VNXXgPHnJEAKNUBCEwy9iijw\np0g3EBFFQEGUXgRBFHwVRUUIRURBrCBFmqCAKCiKIihdgoKCAgLSm4HQQypJ5r4fzkxMmUkmybQk\n+7fWrJhb99wksu+ZffdRhmEghBBCCCGE8Cxe7g5ACCGEEEIIkZEk6kIIIYQQQnggSdSFEEIIIYTw\nQJKoCyGEEEII4YEkURdCCCGEEMIDSaIuhBBCCCGEB5JEXQghbFBKDVRKGUqpgU4+zxLzeYJzcYx2\n5mOEOSywrM9ZyHzOn7Kxz3ml1PFcnjfDMZRSy82x3JGbY+dlSqkQ8zUY785jCCEcRxJ1IQoYpVSw\n+R/ir90dS36jlDqtlLqRyfpS5mu/1YVhZZv5fRiZvBq5O0Z7KKWGmuPt68RzhKS6Lpsy2e75VNvN\ndFY8Qoj8pZC7AxBCCMErwHTggrsDSSUBHZM1FwEMw0hSStUFYlwWlW1jgamYY3ODJKCDUqqKYRhn\nrawfaN5G/t0VQthN/ochhBBuZhhGBBDh7jjSiTcMIyyrjQzDOOKCWLLkAddwA/AQMACYknqFUupe\noCHwLfCw60MTQuRVUvoihMiUuVRmiVIqQil1Wyl1Rin1gVKqbLrt/lRKRaRbVlIplWT+uP++dOvW\nK6USlFJ+dsQwWCm1znzuBKXUFaXUN0qpJla2TakrV0qFKqXClVKxSqlIpdQcpZS/lX2KKqXeUUr9\nq5SKU0r9oZR61P6rlDu2atSVUkFKqcXm9xujlPpFKdVeKRVm3r6djeM1VUr9pJSKVkpdU0p9ppQK\ndELcNmvUlVL3K6V2pbr2C5RSAZkcq6RSappS6qhSKl4pdVUptVYpdZedsaSpUVdKLQcWmFcvS1V2\nclwp5aWUOqWUuqiUyjBgZV5/Vil1SSlV2L6rwVEgHBiglFLp1g0CEoHPM4m/kVJqjflnnaCU+kcp\nNdnG72thpdREc4lSvFLqkFLqqcyCU0o1Vkp9af5ZJCilTpivd1F73pxS6n/mv7kL5v3/VUptVUoN\nsGd/IUTOyIi6EMImpVRtYCdQBvganYzcCzwLdFFKNTcM47J5863Ac0qpOqlGWVsD3ub/bg/8Yj6u\nN9AK+M0wjDg7QpkN7Ac2AleBO4FuQKhSqp1hGLut7PMI0Bn4BtgFdAJGAKWB3qneoxfwHdAO+AP4\nFKiITqps1hw7m1KqOLAdqA1sBn4FaqBHbrdksmtT4CXgJ2AucB/wJFBNKdXSMAzDmXEDKKUeBNah\ny2dWAFfQo80bgcJAfLrtg0j7Xr8FAoFHgY5KqQ6GYfyWzTDWACXQI9hrgb/My68ZhmFSSi1Ej3x3\nQf+OpNYJqAzMMAwjMRvnXAzMR//ebze/tyLo6/8t+jpkoJRqC/yA/ltZBfyL/nt5Hf3+2xmGkZBq\nl6XAE+i/xw+AAGAWsM3G8R9D/z7Hm9/rRaAJuuSqrfn4Nt+nUqop+v8Dt1LtH4T+f0FvczxCCCeQ\nRF0IkZm5QFmgv2EYyywLlVITgEnAW8Bg8+KtwHPohNeSqLdD1y8fMv/3VPPye9FJ1FY746hnGMap\n1AuUro3+zXzMECv7dAHaWJJ4pZQvsA/opZR6wTAMSz34QHNs3wA9DMMwmbdfik52s8tX2e684puN\n44xDJ64zDcMYa1mo9IORy2zuBQ8CjxmG8ZV5ey/0DUcHoDl61Ncett7HbsMwNtjayTxCPRcwgNaG\nYfxhXj4efT2D0AlfarOBWkAvwzBWpzrWG8Dv6OQ3Ww+wGoaxRilVGp2orzEMY3m6TRYDYcAQMibq\nQ8xfF2XnnOgk+z3079R287JH0DeHS6ztYL5pXQL4AG0Nw9hpXq7MMQ4AXgCmmZd3Qifpu4GUBF4p\n9QGw18rxy5mPfwb987iYat0r5uM+Y47bln7oG6zWhmH8ne74ZTLZTwiRS1L6IoSwSilVBZ3A7kud\npJu9DVwCnjCPGIJOTAz0SKBFO/Qo+iagZaptLdtstSeW9Em6edlh9Mhy61THTe3z1CPthmHEAysB\nhb5RsLB0BHnVkqSbt/+ZnI2o+wATbbxezsZx+gCxmBO0VD4D/s64eYptliQdwPyePjV/m6FUKBO2\n3scDWezXBj0avdqSpJvjSESPEKehlCoP9ADWpU7Szfv8AywE7lZK1clG7Fky36h9D3RWSlVIFU8Z\noCvwS3br7w3DiEKP5PdMVVIyCP238oON3doCwcBXliTdfCwDeBW4jU7WLSy/rxNTj7IbhnEA/buR\n3gCgKDA2dZJu9jZwjVSfMGUhw6dfhmFctXNfIUQOyIi6EMIWywjm1vQrDMOIV0rtRo8W1gYOGIZx\nVSl1EJ14oJQqYT7GePRI32tAM2AHOoG/jS5JyZJSqgY6aWmPLktJn5iXIeODhPusHMoyil4q1bK7\n0eUQ1pLfnUBHe2JM5aZhGKWsrVBKlQKuZ3UApVRJdHnP74ZhpNneMAzDfO3r2djd3vedFZvvIwt3\nm7/usLJuF2BKt6wpetCohI0R/Nrmr3X475MaR1mAHnHvj/50CPTocRH0DUJOLEYn048p3a6xE/Cu\nuUOOte0z+zv7Vyl1DKivlPIzl4lldn13om8MUmtm/tpGWW+reRt9bTPzBTAK2KuUWoEuT9qRquxN\nCOEkkqgLIWwpYf56ycb6i+m2A51sPGsuS6mOrrndgq4Pvg20U0rtIhv16UqpmugSl+Lo0om1QDQ6\n4euGTlx8rOx608qyJPNX71TLSgLHbJze1nt3tuLmr7YSochM9rX3fTtLSfPXDDGak9Vr6RaXNn9t\nT9pPY9Kz66HHbPoefRMzmP8S9cHo0pwvcnjMLcBpdMJcAX3Nl2SyvT1/Z/XN28Whr2+0jb8da8ew\nXN/nM4khKZN1GIaxUykVgr5ZHoYulTGUUj8Do23c5AohHEASdSGELVHmr+VsrC+XbjvQD7M9i064\nqqET6t/NCdoe8/KN6ER0q51xjEGPBD9pGMaK1CuUUs34b4Qxp26i66atsfXenc1Sw22rU4uteD2B\n5UYhQ4zm+vXSpL2ZsPz+TLKnHaQjGYaRrJRaDIxXSrVCP/x6F7DAMIwc9YY3f+KxFJiArrvfYxjG\noUx2ye7f2U3gzlQj7Na2tXb8qoZhnM40+EwYhrEZ2KyUKga0RD/oOxTYYH6APDanxxZC2CY16kII\nW/abv7ZJv0Ip5YP+SD0e3XnCYhu6Tr2d+bXDMAzLaN1WoAUQmup7e1Q3f/02XQx+pK01z6k/gdJK\nKWulJK0ccPxsMwzjJvrhv7rmcpkU5ocMm7sjLjv9af7a2sq6lmT8d2eP+asz3lOy+WtmnyQsRH86\nM4T/HiLNadmLxRLz1wpkPpoOmf+dVUAn+/+kSsozu77Wfl8t3XIccn0Nw4g2DGOjYRjD0Q81Vwbu\nccSxhRAZSaIuhLDKPLviNqCxUurxdKtfRCchKw3DuJ1qnyvoDi/3o2tvU7cR3IruejKKbNSnA5ZZ\nHlP6sJuT1Wk4ZmTZ0g3kDXOHFMs57if79emOtALwR9f2p/YktuvTPcF24Bz6gcqUGylzP/Ip6Tc2\nDOM8upwpVCk1LP16c0/ztjmMxVJmU8nWBuZR5k1AT3Q3lYOGYfyaw/OlPmYo0J3MO/SA/hs7g65p\nb5Zu3RvoevlPUy2z/L5OMt8wA6B0v/k+Vo6/CN156W2lVPX0K5VSpWzUrqfeprV5JD09y9+fPS1W\nhRA5IKUvQhRc9yqllthYt9EwjM/Rfcd3Ap8rpXoC/6BHsUOBU1jvYrINXcMKaRP1XegEPRDYaWf/\ndNCt/gYBa5RSq9Af/bcGqqKT/3Z2HseWJegHCLsBe8wPAFYEHgfWo9s8usOb6PKCF5VS96BHRmug\nO5L8iP4ZpH8w0+3MZU5Po/uo7zA/fHgV3Uc9Fuv19cPRD43OMyfrv5m3rYL+FCYAsJYoZmUXupzl\n/5SebOkqcN0wjHnptlvAf5/05HY0HQDDMOzqGGQuvxmMrpffav4dj0CXiTVDX4uZqbbfaL6mTwB/\nKqXWoUvDnkDfcHRJd/wIpVQ/9I3f30qp74Hj6Jr/aui/n0/QN9C2vIx+GHULcBL9SUUrc3xbsP4A\nsxDCAWREXYiCqzK6dZu11/8gpQViU3Tbt1bokfR66L7XzQ3DsJZ0bTV/jSLVP+DmGtY96bbJkrnF\n3wPoj/x7ojt0nEF/lH/G3uNkcnwTuvPHu+gEfTS6TvlJ4MvcHj8XcUWhb0iWoksLRqNHhjvz38Ov\n6fuRewTDML5H/8z+Qo/yDkL3b++EnqEz/faX0UnfePQA0gDgafT73sF/LQmzG8dldOvBs+hE9E1g\nrJVN16FvAG/z34i1y5jrv1uib8AeBv4P3cnoDaBDusmOQF+fSYAfeu6CVuZ9rPZCNwxjLbo15yrz\n19Hov6VA9O/9h1mEOBvda74u8JT55Yu+lg+5YhItIQoqJX9fQgiRtyildqATu5KGYUS7O568TilV\nC/2sxWrDMHq5Ox4hhLCQEXUhhPBQqSfiSbWsN3oEdbMk6Q5jaV04161RCCFEOjKiLoQQHkopdQC4\ngS77uQ00RD+oG42ezn1/JruLTJi76TyN7io0BNhlGIZbuvwIIYQtbh1RV0o9ppT6Sil1RikVp5Q6\nqpR6UylVPN12AUqpT5RSV5RSMUqpn8xPuAshRH62BN35pQ+6P30DdJ1xc0nSc60suma9D/ohTGsd\nU4QQwq3cOqJungb7LPohlfPoB4fC0NNEtzQMw2Ruw7Yd3eFhLHr67VfQM7U1Mrf2EkIIIYQQIl9x\nd6IeaH4qP/Wy/uguB/cbhrFZKfUI8DX6yfct5m1KolvDLTcM4zlXxy2EEEIIIYSzubWPevok3czS\nvs0yQUVX4F9Lkm7e76ZS6lvgEXRrqkyVLVvWCA4OzmW0QgghhBBC2Pb7779fMQwj0FHH88QJjywz\n0B02f60PHLSy3SGgv1KqWFadD4KDg9m7d68DQxRCCCGEECItpVSu5/dIzaPaMyqlKgGTgZ8Mw7Bk\n1qXRdenpWaaGDnBFbEIIIYQQQriSxyTqSqli6IdKk9Cz2KWsAqwV0qssjjdMKbVXKbX38mVrFTZC\nCCGEEEJ4Lo9I1JVSvugpnKsBoek6uVxDj6qnZxlJtzbajmEY8w3DaGIYRpPAQIeVCgkhhBBCCOES\nbk/UlVKFga+A/wEPGoZxIN0mh9B16unVA87KzHxCCCGEECI/cveER17AZ+iZ9h4xDGO3lc3WAZWU\nUm1T7VcCeNi8TgghhBBCiHzH3V1fZgM9gTeAGKVU81TrzptLYNYB4cBypVTqCY8U8LaL4xVCCCGE\nEMIl3J2odzZ/fc38Sm0SEGaenfQhYCYwB/BFJ+7tDcM456hAoqKiiIyMJDEx0VGHFCLfK1SoEL6+\nvgQGBuLr6+vucIQQQoh8xd0THgXbud01YLD55XBRUVFcunSJSpUq4efnh1KZNpQRQgCGYZCUlER0\ndDRnz56lXLlylCxZ0t1hCSGEEPmGu0fUPUJkZCSVKlXC39/f3aEIkWcopShcuDABAQH4+Phw8eJF\nSdSFEEIIB3J71xdPkJiYiJ+fn7vDECLP8vPzIyEhwd1hCCGEEPmKJOpmUu4iRM7J348QQgjheJKo\nCyGEEEII4YEkURdCCCGEEMIDSaKeDy1ZsgSlFMePH3d3KGlMmzaNKlWqUKhQIRo1agTokomwsLAs\n923Xrh3t2rXL9jkt1+L06dMpy4KDgxk4cGDK91u3biUsLAyTyZTt43sia+/ZXvb+PIQQQgjhfNL1\nRbjEb7/9xmuvvcbYsWPp1q0bxYsXByA8PJw77rjDpbGsXbuWEiVKpHy/detWJk2axPjx4/HykntX\nIYQQQngGSdSFSxw+fBiAp59+mmrVqqUsb968ua1dnOaee+5x+TmFEEIIIbJLhg8LsOXLl3P33Xfj\n6+tL2bJl6devHxERESnrR40aRY0aNdLs07hx4wxlNa+99hpBQUEYhmH1PO3atUspNalevXqa8gpr\npRYrV66kTp06+Pj4UL9+fdauXWv1uFeuXGHEiBFUqlQJHx8f6tSpw/z587N836lLX8LCwpg0aRIA\nhQsXRimFUoqEhAQCAwN5/vnnM+xvKS05cuSIzXOEhYWlbBMaGkrRokWpUqUKixcvBmDZsmXUqVOH\nYsWK0b59e06cOJFm/8TERMaPH09wcDBFihQhODiY8ePHZ5g59+TJk3Tp0gV/f38CAwMZPXq0zTaJ\nCxYsSPPzHjJkCNeuXcvyegkhhBDCPSRRL6Dmz59Pv379qFu3LmvWrGH69On8+OOPtG3blujoaAA6\ndOjAiRMnOHv2LADXr19n//79+Pn5sXnz5pRjbd68mfbt29ts0TdnzhxeeeUVANasWUN4eDhDhw61\nuu1PP/3Ek08+Sc2aNVmzZg1jx45l9OjRHD16NM12UVFR3Hfffaxfv56wsDDWr1/Pww8/zIgRI/jw\nww/tvg5Dhw5lyJAhAOzcuZPw8HDCw8Px8fFh0KBBLF26lPj4+DT7zJs3j7Zt21KnTp0sj9+zZ0+6\ndOnC119/TePGjRk8eDCvvvoqH3/8MdOnT2fx4sUcPXqUJ598Ms1+AwYMYPr06fTv35/vvvuOQYMG\n8dZbbzFgwICUbW7fvk3Hjh3Zt28fs2fPZsmSJZw6dYqpU6dmiGPcuHGMHDmSkJAQ1q1bx4wZM9iw\nYQOdO3cmOTnZ7uslhBBCGAYkJMCtW3Djhn5FRUFcHMg/KY4lpS82jBkD+/e7N4ZGjeC99xx/3OTk\nZF5//XXatWvHypUrU5bXqVOH1q1bs2jRIp577jnatWuHUootW7YwYMAAtm3bRokSJejRowdbtmxh\n2LBhREdHs3fv3jQJZHr16tVLKXe55557CA4OtrntxIkTqVOnDt98801KvXjdunVp3rw5tWvXTtnu\n/fff58yZMxw4cICaNWsCEBISwo0bN5g0aRIjRoygUKGsf73vuOOOlBr5Zs2apdlnxIgRvPPOO6xe\nvZp+/foB8Ndff7F7925WrFiR5bEBxo4dS//+/QFo0qQJ3377LfPmzePUqVMpdfIRERGMHj2aM2fO\ncOedd3Lw4EFWrFjBxIkTUz5t6NSpE97e3rz++uuMGzeOhg0bsnTpUk6ePEl4eHhKCVHnzp256667\n0sRw+vRpZsyYwcSJE5kwYULK8lq1atGqVSu+/fZbunXrZtf7EUIIUTDFxMC1axAZqb+mTsiV0sm7\n5b+LFYOyZfWrZEmw459jYYOMqBdAR48eJTIykj59+qRZ3qpVK+688062bdsGQOnSpWnYsGHK6Pnm\nzZtp27YtISEhbNmyBYDt27eTlJREhw4dch1XcnIye/bs4bHHHkvzUGezZs0yJPcbNmygWbNmVK1a\nlaSkpJRXaGgoV69e5e+//851PFWrViU0NJR58+alLJs3bx6BgYH06NHDrmN07tw55b8DAgIICgqi\nefPmaR5mtYzMnzt3DtDXFKBv375pjmX53vLzCQ8Pp3Llymnq/L28vOjVq1ea/TZt2oTJZKJPnz5p\nrlWzZs0oUaJEyvmEEEKI1EwmuHwZdu+G7dvh7791wl6qFAQG/vcqW/a//y5TRifr58/Db7/Bzz/D\nX3/B9ev/JfPCfnKPY4MzRrI9haUuuUKFChnWlS9fPk3dcocOHfjyyy8B2LJlC0OHDqV9+/ZcunSJ\nv//+my1btlCxYkVq1aqV67iuXLlCYmIi5cqVy7Au/bLIyEiOHz9O4cKFrR7r6tWruY4HYOTIkTz8\n8MMcPHiQqlWrsnz5cp5++mmKFCli1/4BAQFpvi9SpIjVZUBKiY2tn0/58uXTrI+IiLD7WgEZnjew\ncNS1EkIIkT8Yhk7QjxzRiXmxYhAUZN++SoGPj36BTvavXIELF6BoUahZUx/L29t58buXl0On6pZE\nvQAqXbo0ABcvXsyw7uLFizRp0iTl+/bt2/Puu+8SHh7OoUOH6NChA+XLl6du3bps3rw5pT7dEcqW\nLUvhwoW5dOlShnWXLl3izjvvTPm+TJkyBAUF8f7771s9Vuoymdx48MEHCQ4OZt68edx9993cunWL\nYcOGOeTYtqT++VSvXj1lueXnVaZMGUAn8ocOHcqwf/rrZ9l+48aNGW4SUq8XQgghYmP1yHlkpC5b\nsTdBt8XLSx8HID5elxX7+kKdOlCunF6fX+jpWIr6O/KY+ejyCHvVrl2bcuXKpalPB9i1axdnzpyh\nbdu2KcvatGmTUhtdtmxZGjRoAOiR9jVr1rB//36HlL0AeHt707RpU7788ss0kw/9+uuvGSbveeCB\nBzhy5AhVqlShSZMmGV6WPu328DHf9sfFxWVY5+XlxfDhw1m2bBkfffQRISEhaZJnZ7Bc//Q/n88+\n+wzQPxOAFi1acO7cOXbv3p2yjclk4osvvkizX8eOHfHy8uLs2bNWr1XVqlWd+XaEEELkEf/+Czt2\nwM2bOon29XXs8X19deLv46MT9vBwXRKTX+hxMhsf9eeQjKjnYxs2bEgpl7AoWbIkHTt2ZPLkyQwf\nPpy+ffvSt29fLly4wGuvvUbNmjUZNGhQmu3vvfdefv75Z3r27JnS2aV9+/bMnj075b8dZdKkSXTq\n1Ilu3boxfPhwLl++zMSJEzO8j+eff55Vq1bRunVrnn/+eWrXrk1MTAxHjhxhx44dfPPNN3afs169\negC88847dO7cGW9v7zSfKgwZMoSwsDD+/PNPvvrqK8e80UzUr1+fJ554grCwMJKSkmjZsiXh4eFM\nmTKFJ554goYNGwL/dYbp0aMH06ZNIygoiLlz5xIVFZXmeNWrV+fll19m1KhRHD16lLZt2+Lr68u5\nc+fYtGlTSjmTEEKIgik5WZe5nD6ta8wdm2pm5OOjE/bYWNi1CypXhlq1HH9j4EqWawg4tBJfEvV8\n7Nlnn82wrH79+hw8eJBhw4bh7+/PjBkzeOSRRyhWrBgPPvggb7/9NsWKFUuzT/v27dmzZ0+akXNL\nO8YqVao4dEQ2JCSEzz77jLCwMHr06EGNGjV47733MpS4lCxZkl27djF58mTeeustLly4QKlSpahd\nuzaPPvpots750EMPMXLkSObMmcPkyZMxDCNNT/jAwEDatm3LgQMH6Nq1q0PeZ1aWLl1KtWrVWLRo\nEVOnTqVixYq8/PLLTJw4MWWbIkWKsGnTJkaNGsXIkSMpWrQoTz75JF26dOHpp59Oc7xp06ZRt25d\nZs+ezezZs1FKUblyZe6///6UrjlCCCEKnoQEPbp9/boeRbfRadkp/P3Bz0+X2Vy6BPXqQcWKro3B\nUc6f16U9YHJooq5sTVKTnzRp0sTYu3evzfWHDx+mbt26LoxI5CXXr1+nSpUqjBkzhilTprg7HI8l\nf0dCCJG3xMXBnj2QmKg7ubhTYqK+WQgMhPr1dQKfVyQk6K44JUpA8+YBxwzjeu47bJhJjboQNly+\nfJmdO3cybNgwTCYTI0eOdHdIQgghhEPExsKvv+qSDXcn6aDLbYKCdH38jh26Xj6vjCWfOKFjdUa/\neEnUhbBh/fr1tG7dmt9++42lS5dabWcphBBC5DVxcbrHOehRYE9SqpSOaf9++PNPPVrtyW7c0LX9\n5oZtDic16kLYMHDgQAYOHOjuMIQQQgiHSUjQ5S6G4XlJukXhwrpe/vJlPQvq3Xfrh1w9TXIyHDyo\n+8w7q65eRtSFEEIIIQqApCT44w9dD+6pSXpqpUvrDjG7d8M//+jE2JOcPAnR0XoiJ2eRRF0IIYQQ\nIp8zDDh0CKKiPKMm3V6W3usnT+qEPTra3RFp167pmwdnj/RLoi6EEEIIkc+dOKEf0Cxb1t2RZJ+X\nl+4Gk5SkHzQ9e9a9D5rGx8O+ffqGx9kzq0qiLoQQQgiRj0VGwtGjeTNJT61YMV0Oc+gQ/P67fijW\n1ZKSdJKuVMYJmo4edfz5JFEXQgghhMinYmJ0B5XSpZ0/+usKhQqlbeN44YLrRtdNJv3w6K1bULLk\nf8sNA1auBGf0n8gHPzIhhBBCCJFecrJucVi4MBQp4u5oHMvSxvHPP2HvXn1D4kwmkx7Jj4hIW5ce\nGwuvvQYzZ0KzZo4/ryTqQgghhBD50IkT+uHRvNDhJScsbRxv3dIzg544oUtTHC0pSX8qcf68rpW3\nOH1aj6L/9BM88wzMmuX4c0uing8tWbIEpRTHjx/PsC4pKQmlFGFhYRm2P336dLbPNXDgQO64444c\nxxoeHk6zZs0oWrQoSin279/PwIEDCQ4OznLf3MSd/hqEhYWhUjVBvXHjBmFhYfzxxx/ZPranSv+e\n7WXvz0MIIYTnuHYNjh3zzP7jjlaypH6fx47phD0iQo+AO0J0tJ7B9coVXXJjSRU2b4b+/fV1/ugj\nGDTIOaVFkqgLunTpQnh4uFtm3hwyZAhJSUl8++23hIeHU6tWLV5//XXWrl3r0jiGDh1KeHh4yvc3\nbtxg0qRJ+SpRF0IIUTDcvq1LQlzRlcRTeHvr0W4/Pz36vW2b7nKT0xH25GQ4cwZ27tTHsNzwGAYs\nWQIvvQRVq8Ly5fC//znsbWQgM5MKAgMDCUz9WY6LmEwmjh49ymuvvUaHDh1SllevXt3lsdxxxx25\n+mRACCGE8BT//JN3JjVytCJF9Mh3QoK+WSlUCKpUgfLloXjxrG9cbt/WXXKOHdPHCAiATZtg9my4\neFHfCMTFQadOMHGinpDJmQrIfZbIjLUSktjYWEaMGEGZMmUoXrw43bt3Z9euXSilWLJkSYZj7Nu3\nj9atW+Pv70/NmjWZO3duluf09vbGZDIxZcoUlFIp5RXWSi1OnjxJly5d8Pf3JzAwkNGjR5OQkGD1\n2AsWLODuu+/G19eXsmXLMmTIEK5du5ZpPKlLX06fPk3VqlUBeOqpp1BKpbzvUaNGUa5cORITE9Ps\nHx0dTfHixXnllVdsnuP06dMopZg7dy6vvPIK5cuXp3jx4vTt25fY2FiOHz9OaGgoxYoVo0aNGixd\nujTDMTZs2ECLFi3w8/OjZMkN/49iAAAgAElEQVSSdOvWjaPp+kElJyczfvx4KlSogL+/P+3atePQ\noUNWY/rzzz/p2rUrAQEB+Pn5cd9997Fjx45Mr5UQQgjPdfWq7jNeurS7I3EvHx+dsJcooa/Hrl3w\n88+6teLp0zoZv3pVvy5d0hMq/fqrLmk5eFDvHxiok/Q33tBJOugk3dsb7rvP+Uk6SKKeryUnJ5OU\nlJTmlWzn/LvDhg1j0aJFvPjii6xZs4batWvTp08fq9tGRUXx5JNP0rdvX7755huaNm3KiBEj2LJl\ni83jd+nShZ07dwK6/CU8PNxmucvt27fp2LEj+/btY/bs2SxZsoRTp04xderUDNuOGzeOkSNHEhIS\nwrp165gxYwYbNmygc+fOdr/3ChUqsGbNGgBeeeUVwsPDCQ8Pp0uXLowcOZLIyMgMsX722WfExMTw\n1FNPZXn8N998k3///ZelS5cyefJkVq1axdNPP0337t3p0qULa9eupWHDhgwaNChNgr1hwwa6dOlC\nsWLFWLVqFR9//DEHDx6kVatWXLhwIWW7sLAwpk2bRp8+ffj666/p1KkTXbt2zRDHH3/8QcuWLbl2\n7RoLFizgq6++okyZMoSEhPD777/bda2EEEJ4jsRE+OsvXbOd6rGrAq1QIX3TEhSkr0tUlP7E4Y8/\nYM8e/dq3Tz+Impioe80HBv6XhM+erSc4Si05GT7+2EXxu+Y0edCYMbrIyZ0aNYL33svx7nXq1MnR\nfkePHuXzzz9n+vTpvPTSSwB07NiR2NhYPvzwwwzb37p1izlz5tC+fXsA2rRpw8aNG1mxYkXKsvQC\nAwMJCAgAdNlJ8+bNbcazdOlSTp48SXh4eMp2nTt35q677kqz3enTp5kxYwYTJ05kwoQJKctr1apF\nq1at+Pbbb+nWrVuW79/Hx4d77rkHgGrVqqWJLTAwkLZt2zJv3jx69eqVsnzevHl06tSJatWqZXn8\n6tWrp4yWh4aGsmPHDpYtW8ayZcvo27cvAE2aNGHdunV8+eWX1K9fH4Dx48dTrVo1fvjhBwoV0n+6\nLVq0oFatWrzzzjvMmjWL69ev8+677zJs2DBmzpwJQKdOnfD29mbcuHFp4hg7dixVqlRh8+bNFDH3\n7QoNDaVBgwZMmTKFr7/+Osv3IoQQwnOcOlVwS17s4e2tJ00qVsz+fSwj6elduuSYmLIiI+r52Nq1\na9mzZ0+a1+7du7Pc79dff8UwDHr27Jlm+WOPPWZ1e39//zQJuY+PDzVr1uTs2bO5ewNm4eHhVK5c\nOU3C7OXllSZRBti0aRMmk4k+ffqk+RShWbNmlChRgu3btzsknpEjR7JlyxaOHTsGwJ49e9i3bx/D\nhw+3a//OnTun+d5yQxUaGpqyLCAggKCgIM6dOwdATEwMf/zxB48//nhKkg5QtWpV7rvvPrZt2wbA\ngQMHiImJyXBtevfuneb7uLg4tm3bRs+ePfHy8kq5VoZhEBIS4rBrJYQQwjWiouD4cV1TLRzj+HHb\nNe3lyrkmBhlRtyUXI9meokGDBtSoUSPNsiQ7Hn+OiIgAICgoKM3ycjZ+KwOs/F/Bx8eH+PSfFeVQ\nRESE1XOnXxYZGQmQ4T1bXL161SHxdO/enfLlyzNv3jxmzpzJ3LlzqVixIg8//LBd+6e/XpbRbGvL\nLdfw+vXrGIZhtTNP+fLlOXPmDPDfzy79tUn//bVr10hOTmbKlClMmTLFapwmkwmvgtIuQAgh8jDD\n0JPxFC1acLq8ONuBAzB6tL6mCQn6IVMLX1/dN90VJFEXGViSwcjIyJSHKgEuuepzHivxWHsYMn08\nZcy9kzZu3Gj15qGMg5rJFi5cmKFDhzJnzhxeeuklVq5cyQsvvJBmpNvRAgICUEpx0cpncBcvXkx5\nb5af3aVLl1JKZizfp1aqVCm8vLx45pln6N+/v9VzSpIuhBB5w8WLcP2660Z587v9++G553Rt+5w5\nunvM7Nm63KVcOZ2kP/CAfrDUksAXKaI7wjiaJOoig2bNmqGUYvXq1Sk16gCrV692SzwtWrRg8eLF\n7N69O6X8xWQy8cUXX6TZrmPHjnh5eXH27Fk6duyYq3P6mJ8iiYuLs7p++PDhvPnmm/Ts2ZOEhAS7\nHiLNjaJFi9K4cWNWr15NWFgY3t7eAJw5c4Zdu3bx7LPPAtCwYUOKFi3KF198kabl5cqVKzMcr3Xr\n1vz555/ce++9kpQLIUQelZgIf/8tJS+O8uefOkkvWxbmzdMPllasCJaqVZNJ3xRdvqyvuWUM8MYN\n3UkGvBz6GK8k6iKD2rVr8+STT/L6669jMplo3Lgxmzdv5ttvvwVcP9I6YMAApk+fTo8ePZg2bRpB\nQUHMnTuXqKioNNtVr16dl19+mVGjRnH06FHatm2Lr68v586dY9OmTQwdOtTmw63plStXjjJlyrBy\n5cqU5Ldq1aopI9eVKlXi4YcfZu3atTz88MNUrlzZ4e87vSlTptClSxceeughRo4cSXR0NBMnTqRk\nyZK88MILgB4pf/7553njjTcoXrw4nTp1Ys+ePSxcuDDD8WbNmkWbNm0IDQ1lyJAhVKhQgStXrvDH\nH3+QnJzM9OnTnf6ehBBC5M7p03pCHnMVpciFAwcyJumpxcbqmUqrVYM779QlMKnpsb1Y6yN8OSTD\naMKq+fPnM3jwYN5++226d+/OoUOHmD17NgAlS5Z0aSxFihRh06ZNNGrUiJEjRzJgwACqVq3K+PHj\nM2w7bdo05s+fz/bt2+nVqxePPPIIb731FgEBAdSsWdPuc3p5efHJJ59w/fp1QkJCaNq0acqNioXl\nYVt7HyLNrQceeID169dz48YNevXqxdNPP03dunXZuXMnFStWTNkuLCyMV199lWXLltG1a1c2btyY\nIXaAe++9lz179lCmTBmee+45OnXqxOjRozlw4ABt2rRxyXsSQgiRczEx8gCpoxw8CKNG6XKXuXMz\nJuk3bui2jC1bQu3aGZN0sJS+xN/OuCbnlGEYjjyeR2rSpImxd+9em+sPHz5M3bp1XRhR3jRjxgxe\nfvllTp8+TZUqVdwdjtv16dOHX375hZMnT0rpCPJ3JIQQrrZ/v56wp1Qpd0eSt/3zDwwbpq/jvHkZ\na/2vX9dJeOPG1hP01JRSvxuG0cRRsUnpi7Dqu+++4+DBgzRq1AgvLy927NjBzJkz6dWrV4FP0nfv\n3s3+/ftZtWoVs2bNkiRdCCGEy924Af/+qyfyETl39iw8+6zu7jJ3bsYk/eZNnZw3beqe8iJJ1IVV\nxYsX5+uvv2b69OnExMRQqVIlnnvuOSZNmuTu0NyuRYsWFCtWjAEDBjBy5Eh3hyOEEKKAMQw4fFgn\nlzIDac5FRuoOLsnJeiS9fPm06+Pj9bVu3Nh9zwBIoi6satu2rV2TIxVEBaFcTAghhOe6ckWPqMto\nes7duKGT9KgonaQHB6ddn5SkR9NbtHBO20V7SaIuhBBCCJFHmEx6NL1ECXdHknfFxenJjP79Fz74\nAMwThKdx9SrUq+f+B3WluFYIIYQQIo+4dEl3e8nqoUZhXXIyvPaavtmZNk2XtaQXFaX7o3vCI3mS\nqAshhBBC5AHJyXDkCLi4S3K+YRgwaxZs3w4vvght22bcJjlZ16Y3aACe0CvCA0IQQgghhBBZiYjQ\nSaR58myRTStWwKpV0KcP9OplfZtr13Sf9KJFXRubLZKoCyGEEEJ4uKQk3e9beqbnzObN8O670KGD\nrk+3xnITdOedro0tM5KoCyGEEEJ4uIgISEhwX5vAvOzgQXj9dV3OMnmy7ZKWmzehfn3w9nZtfJmR\nRF0IIYQQwoMlJcGxY+7vQJIXXbgAzz8PZcvCO+/Yfgg3Olo/QBoY6Nr4siKJej6jlMryFZy+Waib\n9O7dmxo1amS53dy5c1FKcfHiRaedw5bt27fTpEkT/P39UUpx5MgRevfuTR1rvZzSyWnc8fHxKKWY\nPn16yrJx48bhm+r/LleuXCEsLIy//vorW8cWQgiR91y8qEfTCxd2dyR5S2ysfmg0KQnefx9Kl858\n29q1PW8CKemjns+Eh4en+b579+7cfffdhIWFpSzzyWNPofTo0YNGjRpRpkwZl5974MCBBAUFsX79\nevz8/AgODmbq1KnExMS4NI5nnnmGHj16pHx/5coVJk2aRI0aNWjYsKFLYxFCCOE6yclSm54ThgFh\nYXDihO6VntkYZVSUHkn3xGssiXo+07x58zTf+/j4ULZs2QzLbUlISPC4RD4oKIggN0y/Fh8fz6lT\npxg6dCjt27dPWZ6bEfqcqly5MpUrV3b5eYUQQriXZTRdWjJmz8KF+gHSMWMgqxQoPh7uvdc1cWWX\nlL4UYJaykO3bt9O8eXP8/PyYMGGC1dILgCNHjqCUYuXKlWmW//TTT7Rr145ixYpRrFgxunTpwuHD\nh+2OY8+ePbRs2RJ/f39q1arFokWL0qy3VkISHR3NU089RenSpSlevDg9e/Zk27ZtVuOz5xzpzZ07\nFz/znMGvvfYaSqmUchdrpS/Hjh3jgQcewM/Pj3LlyvHiiy+SmJiY4biGYTBnzhzuuusufH19CQoK\nYvjw4dy8eTPTeFKXvhw5coS6desC0K9fv5SSppUrVzJ06FAqV65McnJymv2vX7+Ov78/kyZNyvQ8\nQgghPIdlNF2S9OzZtg3mzoXOnXUrxszcuqVH0z31GkuiXsBduXKFfv360b9/f3744Qcee+yxbO2/\nZs0aQkNDKVu2LJ9//jnLli3j8uXLtGnThoiIiCz3v3r1Kv3792fw4MF8/fXXNGzYkCFDhmQo4Ulv\n4MCBLF++nFdeeYWvvvqKO++8kwEDBjjsHD169GDz5s0AjBw5kvDwcFatWmV127i4OO6//34OHTrE\nvHnzWLhwIYcOHeLtt9/OsO3zzz/PmDFjePDBB1m3bh1vvvkm33zzDQ899BAmkynT92wRHByccjMS\nFhZGeHg44eHhdOzYkWeeeYbz58+zfv36NPt8+umn3L59myFDhth1DiGEEO53+bL0Tc+ukydhwgSo\nV0/PQJpVzXlsLLjhg3K7SelLJtq1a5dhWa9evRg5ciSxsbE8+OCDGdYPHDiQgQMHcuXKFatJ74gR\nI3j88cc5d+4c/fr1y7D+hRde4OGHH+bo0aPUrl3bIe8jMzdv3mTVqlWEhoamLIuPj7drX5PJxOjR\nowkNDeXLL79MWd62bVuqVavG+++/n2FUPr0bN27w/fff06JFCwBatWrFpk2bWLFiRcqy9P766y++\n+uor3n//fZ577jkAOnXqRFRUFAsWLHDIOYKCgvD39wd02UlmpUOffPIJ586d448//uCee+4BoHPn\nzhl+fv/88w8ffPAB06dP56WXXkpZHhwcTEhICBs3buSBBx6weR4LX19f7r77bgCqV6+eJrYyZcrQ\nrFkz5s2bR9euXVOWz58/n4ceeog77rgjy+MLIYRwP5NJj6aXKOHuSPKOqCh44QXd2WXGDNsdXixi\nYvQDpp5Ym24hI+oFnL+/f5okPTsOHTrE+fPn6du3L0lJSSmvEiVK0LRpU7Zv357lMQICAtIky/7+\n/lSrVo2zZ8/a3Gf37t0A9OzZM81yW58G5OQc2REeHk7NmjVTknQAb2/vDPH9+OOPGIZBnz590lyv\nNm3a4OPjY9f1ssfIkSPZsGEDZ86cAWDHjh38/fffDB8+3CHHF0II4XxXr+pEMqtkU2gmE4wfr/vN\nv/02lCuX9T4xMZ49mg4yop6prVu32lzn7++f6fqyZctmur5y5cqZrnfFaDpA+fLlc7xvZGQkAH36\n9KGPlSKwWrVqZXmM0lZ6Jfn4+GQ6qm8pqUn/gGk5G3+VOTlHdkRERFg9d/pllutla1T76tWrDonn\n8ccf54UXXmDBggVMnTqVuXPnEhwcnOMbMiGEEK5lGLpverFi7o4k71i0CHbtgnHjwPyhc6bi48Hf\nP/OWjdmRnJxs9Rm53JJEvYBTVoq3ChcujLe3N7dv306zPH0iaWmX+M4779CmTZsMx/F10jBAhQoV\nAJ34Wv4b4NKlS045nz3x7N27N8Py9PFYrtfWrVspWrRohu0DHTTLgo+PD4MGDWLRokWMGjWKr776\nigkTJuBlayo2IYQQHuXGDT1LphsanuVJv/4K8+bph0cffdS+fW7dgoYNbc9Smh27d+9m2LBhHDhw\nIPcHS0f+5RYZeHt7U6lSJQ4ePJhmefoHFO+66y4qVqzI4cOHadKkSYZXgwYNnBKfpSZ79erVaZan\n/95VWrRowbFjx9i3b1/KsuTk5DR1+6Dr6JVSnD9/3ur1uvPOO+0+p6WFZlxcnNX1I0aM4NKlSzz+\n+OOYTCZ5iFQIIfKQEyfA3HhMZCEyUpe8VK0Kr75q34RFyck6Qc/t+FhSUhITJkygZcuWXL9+nS++\n+CJ3B7RCRtSFVb1792bWrFm89dZbNGnShC1btmRIhL29vfnoo4/o2bMnsbGxPProo5QpU4aLFy/y\nyy+/UKtWLUaNGuXw2Bo2bMijjz7Kyy+/TEJCAo0aNeLHH39k48aNAC4fOR46dCgzZsyga9euTJs2\njYCAAGbPnp2htKZevXqMGTOGYcOGcfDgQVq3bo2Pjw9nz55l48aNPPvss7Rs2dKuc95xxx2UKFGC\nzz77jNq1a+Pv70/16tUJMM8vXbVqVUJDQ/nhhx/o2bOnzbIgIYQQnuXWLd3tRUbTs5aUpEtdEhJ0\nXbq9Nzc3b+oJkHI70+vo0aOZM2cOAwcO5IMPPqB48eK5O6AVMqIurJo4cSJPPfUU7777Lt27d+fU\nqVMsWbIkw3bdu3dny5YtXLt2jSFDhhAaGsq4ceO4cuUK//vf/5wW3+LFi+nTpw9vvPEGPXr04OTJ\nk7z//vsAlHRxM1Q/Pz9++ukn6tWrx7Bhwxg8eDD169dP09nFYtasWXz44Yf89NNPPPbYY3Tr1o2Z\nM2cSGBhI1apV7T5n4cKF+eSTT7h48SL3338/TZs25ccff0yzjeVhVnmIVAgh8o4zZ6BIEXdHkTd8\n+CH89ZceUc9s5tH0kpKgUqXcn////u//WLhwIYsXL3ZKkg6gDMNwyoE9SZMmTQxrNcQWhw8fTplA\nRuRdU6ZMISwsjH///VdGkIFHH32UAwcOcPToUavPIjia/B0JIUTuxMXB1q1Qtqxjaqfzs59/hpdf\nhscfh7Fj7d8vOlqPvOd0LDEiIoI5c+YwefJkq/+2KqV+NwyjSc6OnpGUvog8ae3atRw/fpyGDRsC\nsG3bNmbNmkW/fv0KdJJuGAa//vore/bsYe3atSmzugohhPB858/rBF2S9MydPw+TJ0ODBjBmTPb2\njY3VkyHlxM2bN+ncuTPHjx9n0KBBVKtWLWcHygZJ1EWeVLx4cVavXs3UqVOJjY2lcuXKvPjii0yY\nMMHdoblVQkICLVq0oHjx4gwfPpyhQ4e6OyQhhBB2SEyEU6c8e/IdT5CYqB8a9fKCN9/MXp15UpLe\nPictGePj4+nWrRuHDh1i/fr1LknSwc2JulLqDuBloAlwN+AHVDUM43S67WzV59xjGMZ+pwYpPFJI\nSAghISHuDsPj+Pr6UhDK2YQQIr+5dElP2lNIhlAzNWcO/P23fng0VYdmu9y8CdWqgbd39vYzDIMB\nAwawdetWli9fTqdOnbJ3gFxw969DDaAX8DuwA8jsnS8B5qVb9o9zwhJCCCGEcA2TSU9wVKKEuyPx\nbLt2wbJl8Nhj0KFD9vdPTs5+cg96JvZ169Yxffp0qxM8OpO7E/XthmGUA1BKDSXzRP2CYRi7XROW\nEEIIIYRrXLumZ8qURN22K1cgLAxq1Mh+XTro2vSAALAy32CWGjRowIEDB6hevXr2d84ltz6uYBiG\nyZ3nT03KBYTIOfn7EUKInDt+PGcJZEFhMsGECRATA9OmQU4mPo+Ozl4LR4DLly+zatUqAGrUqOGW\n5gx56bniEUqpBKVUrFJqs1KqtaMOXLhwYZszPAohshYXF5cyW6oQQgj7RUXB9euSqGfm00/ht990\nG8acPMNpMumHT8uUsX8fwzAYOnQoAwYM4Ny5c9k/qYPklUR9OTASCAGGAWWAzUqpdo44eFBQEBcu\nXCA2NlZGBoWwk2EYJCYmcu3aNc6fP0+Z7PwfUAghBADnzskER5k5eBA+/hg6doRHHsnZMaKi9ARH\n2ekQ89lnn7Fu3TqmTZtG5cqVc3ZiB/CYCY/MNeoLsNL1xcq2xYGDwDnDMFrZ2GYYOqmnSpUqjc+c\nOZPp+aOiooiMjCQxMTEH0QtRMBUqVAhfX18CAwPxzclnkUIIUYDFx8OWLTLBkS2xsfDkk/oh0M8/\nh5xO/hkZCc2a2d+WMSIigvr161OvXj22bduGdzbaxMiER4BhGLeUUuuBIZlsMx+YD3pm0qyOWaJE\nCUrIUxxCCCGEcJGLF3WrQEnSrXv3XbhwAebPz3mSnpSkP7Gwtz+9YRgMHz6cuLg4Fi1alK0k3Rny\nZKJupgDP+DhACCGEECIbkpPhxAkoWdLdkXimbdtg7VoYMADuuSfnx4mK0g+R2nszpJSiX79+PPTQ\nQ9SqVSvnJ3aQPJmoK6VKAF2AX90dixBCCCFEdl25ArdvywRH1ly5AlOmQK1a8PTTuTtWUhKUL5+9\nfXr27Jm7kzqQ2389lFKPmf+zsflrZ6XUZeCyYRjblFIvArWBLcC/wJ3Ai0B5wLVd54UQQgghHODE\nCShWzN1ReB7D0El6XBxMnZq9B0DTS0jQ3XTsvc5vvPEGhQsXZuzYsW5pxWiN2xN1YHW67+eYv24D\n2gFHge7mV0kgCvgFGGIYxm8uilEIIYQQwiFu3tSvoCB3R+J5vvoKfvkFXnwxZ60YU7t1C2rXBnty\n7mPHjjF58mR69+7tMUk6eECibhhGplfDMIxvgW9dFI4QQgghhFNJS0brTp/WD5A2bw69euX+eCYT\nBAbat+2YMWPw8fHhrbfeyv2JHcjtiboQQgghREGRkADnz2dv8p2CIClJzz7q6wsTJ+a+E058PJQo\nYd9EUj///DPff/89M2bMoHx2C9qdTBoCCSGEEEK4yMWLuhRDWjKm9ckn8Pff8Mor9o+CZyY6GqpU\nyXo7wzAYN24cVapUYdSoUbk/sYPJiLoQQgghhAuYTHDypLRkTO/gQVi0CLp0gZAQxxzTZNITSWVF\nKcUHH3xAVFSUR07cJ4m6EEIIIYQLXLv2X0mG0OLjdalLYCCMHeuYY8bF6QmO/Pzs275FixaOObET\nyAcvQgghhBAucPIk+Pu7OwrPMncunDkDr7/uuHaV0dFQuXLW2y1YsIDhw4cTHx/vmBM7gYyoCyGE\nEEI4WXQ0XL0qLRlT278fPvsMHn1Ud3pxFMPI+mHdhIQEJk2aRHBwMD4+Po47uYNJoi6EEEII4WQX\nLsgspKnFxcGkSVChAjz3nOOOayktyqrsZdGiRVy4cIHFixd7VN/09ORXRgghhBDCiZKSdHlHqVLu\njsRzfPSR7ic/d659LRTtFR0N9eplvs3t27d58803adGiBSGOenrVSSRRF0IIIYRwosuXdRcSb293\nR+IZ9u6FVavg8cehSRPHHttkyrrsZcmSJZw7d4758+d79Gg6yMOkQgghhBBOYxhw4gQUL+7uSDxD\nTAxMnqwf9nR02/L4eH2ds3pgNyQkhClTphAaGurYAJxARtSFEEIIIZwkKgpu3ZKHSC0++AAiImDB\nAvvbJ9orOhpq1856u2rVqjF+/HjHntxJZERdCCGEEMJJzp2DIkXcHYVn2L0bvvoK+vSBRo0cf/ys\nJjkyDINnn32W33//3fEndxJJ1IUQQgghnCAhAc6flwmOQI92T5kCwcHw9NOOP/7t23qEPrMHU3/4\n4Qc++ugj/v77b8cH4CRS+iKEEEII4QSRkaAUeMmwKLNm6YdqFy0CX1/HH//WLaheXV9vW95++20q\nV65M7969HR+Ak8ivjhBCCCGEg1keIpXRdAgPh3XroH9/aNDAOedITs687OW3335j27ZtjBkzhsKF\nCzsnCCeQRF0IIYQQwsGuX9eT+hT0+vSYGHjjDahaFYYNc845kpL0dc6ss86MGTMoWbIkTz31lHOC\ncBIpfRFCCCGEcLAzZxzf1SQv+ugjuHQJFi503k1LdDRUrGi7xMgwDBo0aEDTpk0pnsf6ZEqiLoQQ\nQgjhQHFxcPEiBAa6OxL32rcPVq+GJ56Ahg2dd57bt6FcOdvrlVJMnDjReQE4kZS+CCGEEEI4UESE\nnoXUwye9dKr4eN3lpVIlGDnSeeexzPhasqT19XFxcXz99dckJSU5LwgnkkRdCCGEEMJBTCY4dUoe\nIl2wAM6ehddec24JUEyMnkzK29v6+pUrV9K9e3d++eUX5wXhRJKoCyGEEEI4yLVruhQjDzUWcbjD\nh2H5cujWDf73P+eeKz5e16dbYxgGH374IfXr16dNmzbODcRJpEZdCCGEEMJBTp8Gf393R+E+iYkw\neTKULg2jRzv3XIahX7bKXsLDw9m3bx8ff/wxKo/WIcmIuhBCCCGEA8TE6El9ihVzdyTus3QpHDsG\n48Zl3i7REeLj9Q2Bj4/19R999BElS5akb9++zg3EiSRRF0IIIYRwAMtDpAXVyZO6DWOnTtC2rfPP\nFxNju+wlMTGRffv2MWjQIIrl4TsnKX0RQgghhMil5GT9EKmtMoz8LjlZl7z4+8PYsa45p8kEAQHW\n1xUuXJiDBw8SFxfnmmCcREbUhRBCCCFy6epVPUNmoQI6BLpyJRw8qJN0W8mzIyUm6m4yRYtmXJeU\nlERCQgLe3t55ejQdJFEXQgghhMi1kyetJ40FwfnzMGcOtG4NoaGuOeetW7pHu7VnRL/77jsqVarE\n4cOHXROME0miLoQQQgiRC9HRcP16wUzUDQPeeEN/kjBunOsmeUpKgrJlra9buHAhPj4+1KxZ0zXB\nOJEk6kIIIYQQuXDhQsEtefn6a9izR7diLFfONee0zEZqbVKpCxcu8P333zNo0CAK5YMfiiTqQggh\nhBA5lJQEZ84UzIdIIw8IEE4AACAASURBVCPhvfegSRPo3t11542J0TcF1jrsLFmyBJPJxODBg10X\nkBNJoi6EEEIIkUOXL+uOJwWtLaNhwJtv6huV8eNdV/ICun96hQoZl5tMJhYuXMj9999PtWrVXBeQ\nE+X9zwSEEEIIIdzk5EnnT+zjiX78EXbsgOefhzvucO25bc1GqpTi008/xTsf3TVJoi6EEEIIkQNR\nUfoVFOTuSFzr+nWYORMaNIDevV177vh4XZtubTZSpRStWrVybUBOJqUvQgghhBA5cP48FCni7ihc\nb+ZM3enm9dddX/ITHa3bMqZ35coVRo0axalTp1wbkJNJoi6EEEIIkU23b8O5c9Y7j+Rn27frspeh\nQ6F6ddef32SC0qUzLl++fDmzZ88mOjra9UE5kSTqQgghhBDZFBmpk0avApRJRUfrB0hr1IABA1x/\n/qQk/QlG+mcCDMPgk08+oVmzZtx1112uD8yJpEZdCCGEECIbDEM/RFrQRtPffx+uXoV33oHChV1/\n/pgY3e0lfYeZ33//nUOHDjFv3jzXB+VkBeg+UAghhBAi927c0Emjr6+7I3GdPXtg7Vro2xfq1XNP\nDAkJ1h/c/fTTT/Hx8aFXr16uD8rJJFEXQgghhMiGs2etdx3Jr+LiYOpUqFIFhg1zTwyGoUfSrX2K\n4e/vT79+/ShVqpTrA3MyKX0RQgghhLBTfDxEREDZsu6OxHU+/hguXID58933KUJ8PAQEWO+yM336\ndNcH5CIyoi6EEEIIYaeLF/XIritn4nSnAwdgxQro2RPuvdd9ccTEQMWKGZefOHECwzBcH5CLSKIu\nhBBCCGEHkwlOnbI+K2Z+dPs2TJ6s68JHjXJvLCaTHlFP7fr169SvX5/Jkye7JygXkNIXIYQQQgg7\nXLv238yYBcHChfrG5IMPoGhR98WRlKSfCUgfw+rVq0lISKBLly7uCcwFZERdCCGEEMIOp0+Dv7+7\no3CNf/6BJUugSxdo2dK9sURHW2/LuGzZMurWrUvjxo3dE5gLSKIuhBBCCJGFmBi4fBmKFXN3JM6X\nlKRLXkqVgv/7P3dHo0twAgPTLjtx4gQ7d+6kf//+qHz8wIAk6kIIIYQQWfj3XyhUQAqGly+HI0fg\npZfcX49vacuYPo4VK1aglKJPnz7uCcxFCsivnBBCCCFEziQlFZyHSE+f1m0YO3SA++93dzS6h3tA\nQMaZUF944QVatmxJ5cqV3ROYi8iIuhBCCCFEJi5fhuTk/D+inpysS158ffVouieIjbXeltHPz48O\nHTq4PiAXk0RdCCGEEMIGw4CTJ6F4cXdH4nyrV8Nff+m6dE+Z0Mlk0rXyqc2aNYsZM2a4JyAXk0Rd\nCCGEEMKGqCj98vNzdyTOdeECfPSR7vDiKd0Ok5L0TKSpH+BNTk5m5syZ7Nq1y32BuZAk6kIIIYQQ\nNpw9a33a+vzEMOCNN8DLC1591XNmXbXWlnHHjh1ERETQu3dv9wXmQpKoCyGEEEJYER8P58/n/wmO\nvvkGfvsNnnsOypd3dzT/uX1bz4qa2ooVKyhatCgPPfSQe4JyMUnUhRBCCCGsuHhRjzJ75eNs6fJl\neO89uPde6NHD3dH8x9KWMfVN0u3bt/nyyy/p2rUrRd05VaoL5eNfPSGEEEKInDGZ9EOk+bklo2HA\nm29CYiKMH+9ZNyTx8foh0tRlR1evXqVFixb07dvXfYG5WD5vNCSEEEIIkX1Xr0JCQv5O1DduhO3b\nYfRoqFLF3dGkFRMDdeumXVahQgW+++479wTkJh507ySEEEII4RlOnID8XF1x/TrMmAH16sETT7g7\nmoxMJj3RkUV8fDznzp1zX0BuIom6EEIIIUQqUVE6kc3PifrMmbqryoQJnjeRU1KSnok0dVvG7777\njipVqrB37173BeYGkqgLIYQQQqRy7lz+bsm4bRv8+CMMHgw1arg7moxiY3X3mdRtGVesWEH58uW5\n55573BeYG0iiLoQQQghhlpCgE/X82pLxxg2YNg1q1oRBg9wdjXXx8WnbMkZFRbF+/Xp69uyJt7e3\n+wJzAw/7sEMIIYQQwn0iIvRIrid1QHGkmTN1sv7BB7q8xFOlfoj3u+++IyEhgccff9x9AblJPv01\nFEIIIYTInuRk/RBpfu30smULbNgAQ4ZA7drujsa6+Hj9aYaPz3/LvvzySypWrEiLFi3cF5ibyIi6\nEEIIIQT/z955h8dVXWv/PaNR71a15Ibl3jsGXMHUEIebmBACIcClhnyXACEhNwUuLYSSEAjwfSG0\nBHJJIJjYBptibFwA44Jcwd2WLFlW7zOatr8/Xm/OaDSSJVnSmRmt3/OcZ0aj0cye0cze71l7rXcB\nlZXshpmWZvVIep7aWnqmjxrF3PRQpamJY/Tn2Wefxf79+2GL1G2ODhChLgiCIAhCv0cpRtP9nUYi\nid/9jm42zzwTei4v/ni9rW0ZASA3Nxe5ubnWDMhi+t+piSAIgiAIQgB1dTwSEqweSc/z4YfABx8A\nN9zAItJQxesFoqKA5GTztocffhj/+Mc/rBuUxYhQFwRBEASh33P0aOu86Eihuhp45BF2+bz2WqtH\n0zHNzUBOjlnI29TUhAcffBDr1q2zdmAWIkJdEARBEIR+TXMzUFoamZaMv/sd877vvTe0U14AFpL6\nZ7isXLkSDocDS5YssW5QFiNCXRAEQRCEfk1xMUWsf4OdSOCDD4DVq4Gbbw7NxkaBKNX6ZOnNN99E\nVlYW5s2bZ92gLMZSoW4YxiDDMJ42DONTwzCaDcNQhmEMC3K/OMMwHjMM47hhGI6T9++//zVBEARB\nEHoEt5tpL5FmyVhVxZSX8eOBq6+2ejSnpqUFSEwE4uP5s8PhwIoVK/Dtb3+73zU58sfqiPoIAN8F\nUANgfQf3ewHAjQB+A+BSAMcBvGcYxpReH6EgCIIgCBFLWRng87GIMVJQiiLd4QiPlBeA6Tl5eebP\nJSUlGDt2LC6//HLrBhUCWP2vW6eUygEAwzBuAHBB4B0Mw5gM4PsArldKvXTyto8B7AZwP4DFfTdc\nQRAEQRAiBa8XOHAg8nzT33uPzY3+67+A4cOtHk3n8HqBjAzz5xEjRmDz5s3WDShEsDSirpTydeJu\niwG4AXztzaOU8gB4HcCFhmFEYI22IAiCIAi9TUUFCxijo60eSc9RVsYC0kmTgKuusno0ncPno9OL\nzk93uVxobGy0dlAhgtWpL51hPIDDSqnmgNt3A4gB02cEQRAEQRA6jVKMpvt7doc7Ph9w//2Ax8PL\ncEnnaW4GMjPN8a5atQpZWVn44osvrB1YCBAOQn0AmMMeSLXf79tgGMZNhmFsMQxjS0VFRa8NThAE\nQRCE8KOmBmhoMIsXI4F//AP4/HPgrruAQYOsHk3nCbRlfPPNNxEfH48JEyZYN6gQIRyEugFAtXN7\nuyil/qyUmqGUmpGVldU7IxMEQRAEISw5cCCyupAeOgQ8/TQwdy7wrW9ZPZqu4fOZrjstLS1YtmwZ\nLrvsMkRHUk5SNwkHoV6N4FHzdL/fC4IgCIIgdIq6OtoXJiVZPZKewe0Gfv1r2hv+6lfh5QfvdgNx\ncRw7AHz44Yeoq6vr102O/AkHob4bwBmGYQSe944D4AJwoO+HJAiCIAhCuHLkCBAbQVYUf/4zsHcv\n8MtftnZOCQcaG1vbMr711ltISUnBokWLrBtUCBEOQn0ZgGgAXxtpGoZhB3AFgPeVUi1WDUwQBEEQ\nhPCiqQkoLW3dATOcKSwEXnmF6S4LFlg9mq7jdgP+Gcp33HEHXnzxRcTExFg3qBDCah91GIah9zam\nn7y82DCMCgAVSqmPlVKFhmH8A8CThmFEAzgM4FYAZwAIE+MhQRAEQRBCgSNHaMcYTukh7dHUxIZG\nAwcCd95p9Wi6jlKtbRkBYMKECVJE6oflQh3AGwE/P3vy8mMAC05evw7AQwAeBJAGYDuAi5RS2/pi\ngIIgCIIghD8OB1BURCvASOAPfwCOH2fqi87xDieam4EBA8zOqa+//jpSU1Nx8cUXWzuwEMJyoa6U\nOuU5rVLKAeDOk4cgCIIgCEKXKSqiV7ctHBJ/T8FHHwFvvw1cey0wZYrVo+keDgdQUMDrSincc889\nmDBhggh1PyLgoyoIgiAIgtAxTidw+DCQlmb1SE6fsjLggQeAceOAm2+2ejTdx9+Wcfv27Th69Cj+\n4z/+w9pBhRgi1AVBEARBiHiKixlJD5dune3h9dKK0esFHnqI+fbhiMdD5x2dsrN06VLYbDYsXrzY\n2oGFGCLUBUEQBEGIaFpaIiea/uKLwBdfAPfcAwwebPVouk9jI4tgdVHv0qVLMWfOHEiTytaIUBcE\nQRAEIaI5doyX4R5NLywEnn8euOQSHuGMywVkZ/N6bW0tampqJO0lCJYXkwqCIAiCIPQWLhdw8KCZ\nCx2u1NezoVF+PvDzn1s9mtNDKUbStS1jWloaioqK4Ha7rR1YCCJCXRAEQRCEiKW4mMLQHsaKRyng\nwQeBykrgpZfC04rRH4eDtow6v14pBcMwpMlRECT1RRAEQRCEiKSlhdH0cM9NX7qUdow//jGdXsKd\n5mbmpwNAWVkZBg0ahBUrVlg7qBBFhLogCIIgCBFJcTEvwzmafvAg8MQTwOzZwFUR0o/d5wPS03l9\n2bJlKC0txdChQ60dVIgiQl0QBEEQhIjD6Qz/aLrTCfz3fwMJCcB990VGo6ZgtowFBQWYMGGCtQML\nUSLgXy4IgiAIgtCao0d5Ga5OL0oBjzwCHDrE5kaZmVaPqGfwt2Wsr6/H6tWrcdlll8EwTtmovl8i\nQl0QBEEQhIjC4aBv+oABVo+k+/z738CKFcANNzDtJVJwuQBtlf7uu+/C7XaLLWMHiFAXBEEQBCGi\nOHSIeenhmiqybx/w2GPArFkU6pGCtmXUVpmjR4/GHXfcgdmRdCbSw4RxeYUgCIIgCEJrGhuBoiIz\nahtuNDbSJz0lhZaM4Zq6EwyHg0Wk2pZx6tSpmDp1qrWDCnHC9FxTEARBEAShLfv2ATExZmv6cEIp\n4P77gdJS4Le/De/UnWA0NwN5eby+b98+bN68GT6fz9pBhTgi1AVBEARBiAhqa4GysvB1enn9ddMv\nfcoUq0fT8/jbMj799NOYP38+nE6ntYMKcUSoC4IgCIIQ9igFfPll+HbtLCwEnnwSmD8fuPpqq0fT\n83g8QFwc/z9KKSxfvhyLFi1CQkKC1UMLaUSoC4IgCIIQ9pSXAzU1QFKS1SPpOuXlzEvPz6dfejim\n7ZyKxkYgN5evbefOnTh69CgWL15s9bBCHikmFQRBEAQhrPF6gT17TDeRcKKlBbj7bhZaPvcckJxs\n9Yh6B5cLyM7m9eXLlwMALr30UgtHFB6IUBcEQRAEIawpLmYXz5QUq0fSNZQCfvc7YPdu2jEOH271\niHoHpWiVqU+kPvjgA8yaNQu5ubnWDiwMEKEuCIIgCELY4nTS6SUcHVLefBNYtoxe6QsXWj2a3qOp\niZ1V7SdV56pVq1BaWmrtoMIEyVEXBEEQBCFsOXCAec/2MAs9btsGPP44MHcucNNNVo+md3E6gYED\nzZ/j4uIwPFK3D3oYEeqCIAiCIIQltbVsbqQt/8KFsjLgnnuAQYOABx4I3w6qnUUp0zLzrrvuwtNP\nP23tgMKICP9oCIIgCIIQifh8LCBNTAwvl5TmZuDOO1lE+sQT4elS0xVcLiAhgUdzczOee+457Nu3\nz+phhQ0i1AVBEARBCDtKS4G6uvASul4v8MtfMl3nt78Fhg2zekS9T2Oj2Y109erVcDgcYsvYBUSo\nC4IgCIIQVjidbG4UbgWkf/wjsH497RjPPtvq0fQNXi8LSQHaMiYnJ2P+/PnWDiqMEKEuCIIgCEJY\nsW9f+BWQvvkm8Pe/A1deCVx+udWj6Ru8Xubfp6QAPp8PK1aswEUXXYSYmBirhxY2iFAXBEEQBCFs\nqKqib7ouTgwHPv2UPulz5gA/+YnVo+k7mprYjdRmA+rq6jBr1iwsWbLE6mGFFWF0LioIgiAIQn/G\n7QZ27KBID5cC0gMH6PBSUAA89BAQFWX1iPoOp5NCHQDS09Px9ttvWzugMEQi6oIgCIIghAUHDtBF\nJC7O6pF0jvJyRtDj44Hf/54ONf0FpXipdz7KysqsG0wYI0JdEARBEISQp7oaOHQofApI6+qAH/8Y\naGgAnnzSjCz3F5xO/q9iYoCioiIMHDgQL774otXDCjtEqAuCIAiCENLolJfU1PBoDuR0AnfcwVz6\nJ54AxoyxekR9T1OTacu4fPlyAMA555xj4YjCkzD4uAuCIAiC0J/Zv58pL/HxVo/k1Hg8zEnfuRN4\n8EFgxgyrR2QNPp+5+7F8+XKMGjUKo0ePtnZQYYgIdUEQBEEQQpbycuDw4fBIefH5gPvvBzZsoFg/\n7zyrR2QN+qQqIQFoaGjAmjVr8M1vftPqYYUlItQFQRAEQQhJnE5g+3YgPT08XF6eegp4913glluA\n73zH6tFYR2MjkJ/P/9n7778Pl8slQr2biFAXBEEQBCHk8PmAXbuYkx4ba/VoTs1f/gK8+irw3e8C\n//mfVo/GWrxeICuL1+fNm4cXXnhB8tO7iQh1QRAEQRBCjsOHmfYSDo2NXnkF+L//F7jkEuCnPw2P\n6H9v4fXSKz4lhT9nZWXh+uuvhz2c2siGECLUBUEQBEEIKaqrgb17gcxMq0dyav7+d+Dpp4ELLwTu\nvTc8XGl6k8ZGYOBAvg87d+7Ec889h4aGBquHFbb084+TIAiCIAihhMMBbN1KK8ZQ7+L5z3+ykdG5\n5wL/8z+hP96+oKXF9Ix/9dVXcfvtt0Pp7kdClxGhLgiCIAhCSODxAIWFFLyh3n30jTeARx8F5s0D\nHnoIkMwOdiM1DJ5kAcCyZcswf/58pOg8GKHLiFAXBEEQBMFylAK++gqorzeFXqjy6qvA734HzJ0L\nPPIIEB1t9YhCg6YmFpFGRwP79+/HV199hcWLF1s9rLBGhLogCIIgCJZz+DBQVARkZFg9kvZRiu4u\nTz4JnH8+8NhjQEyM1aMKHRyOtt1IxZbx9JCNGkEQBEEQLKWsDPjyS0ZjQ9UxRSng2WeBl14CLr0U\n+PWvJSc9EKXoeQ8ABw4cwKRJkzBs2DBLxxTuiFAXBEEQBMEyqquBL75gJD1Uha/Xy3z0f/2LjYx+\n/nNxdwnE4aCVpq4tePbZZ+F0Oq0dVAQgQl0QBEEQBEuorwc2b6bndqjmeTudwK9+BaxdC1x7LXDb\nbaEb9beSpiZg3DheV0rBMAzEhXpFcBggQl0QBEEQhD6noQHYtAlISAhdh5e6OuDOO4EdO9jI6Hvf\ns3pEoYvPBwwYwOvXXXcdAODll1+2bkARQqc3bgzD2GgYxg8MwwiDRr6CIAiCIIQqjY3A558DsbEU\n6qHI8ePAjTcCe/YAv/2tiPSOaGkBEhN5uFwuLF26VDqR9hBdybByA3gFQKlhGL83DGNML41JEARB\nEIQIpaEB+Owz+o4nJlo9muAUFgLXXAOUl7Pr6KJFVo8otGlsBIYM4fX169ejvr5e3F56iE4LdaXU\nAgBjQbF+DYDdhmGsNQzjCsMwQjSzTBAEQRCEUKGujiI9JgZISrJ6NMFZsQK49VYgORl4+WVgxgyr\nRxT6eL2mreayZcsQFxeHRXJ20yN0qWZZKbVXKXUngHwA1wKIAvB3AMcMw3jEMIzhPT9EQRAEQRDC\nnYoK4NNPgfj40Iyke73AH/8I3HcfMHUqbRjFWfDUuN2sMUhKYhHp8uXLcd555yExFP/JYUi3EoiU\nUi0A/mYYxm4AvwcwD8DPAPzUMIylAP6PUqqs54YpCIIgCEK4UlwM7NxJ+77YEKx0q6mhs8umTcDl\nlwN33cXUHOHU1NcDw4fTCcflcuO6667DpEmTrB5WxNDlj6FhGPEArgRwC4DpAL4CcDuANwB8E8B9\nAF4DcF6PjVIQBEEQhLDD6wX27mXX0czM0BS/27cDv/gFUFtLsX7ZZVaPKLzwetmoCgBiYmLw61//\n2toBRRid/soYhjERwM0ArgKQCODfAH6ulFrjd7fnDcMoA0W7IAiCIJw2SvHQ1wHTx9owxNM6VGlu\npq1hbS2QkxN6/yelgNdeY7HowIHAiy8CY8Qmo0t4PNwhSUnhz2vXrsXMmTMl7aUH6cq57XYApQCe\nBPBnpdTxdu53AMCnpzswQRAEIXLw+QCXi/msHg8v3W7aurW0mL9zuRih83h46fWa4rw9tFi329nZ\n0m5n8xx9GRvL4sXYWPM2/fuYmNATkJHAiRMU6VFRZrQ1lKisBB58ENiwAViwALj3XhaPCl2jvp55\n/IYBnDhxAueeey7uu+8+/OY3v7F6aBFDV4T65QDeVkp5O7qTUupLAAtPa1SCIAhCWKEURXZLCzs5\nNjezU2FDA6+73W0Ft2FQyNlsvIyK4m3R0RTQNtupI+YrVwLPPENhmJMDnH02sHEjbfWys4EbbgAW\nLqTg9/nM5/Ufi/byTkxkQVx8fGtxH6pt7UORlhamuhQXs/lNTIzVI2rLmjUU6U4nmxhdcYWcrHUX\nj4ffMwB45513oJTC4sWLrR1UhNFpoa6U+ldvDkQQBEEID1wuim+Hg3Z7tbUU5F6vKYJtNlNwJyb2\nTm7yypXAQw9RcAFAWRnw1lvm70+cAJ54go4UF1/c/uN4PDwqK9nkRkfxtXiLj2e0NSWFl3FxPCQa\nb6IU3//du3k9FFNdGhv5eVi+HBg9GnjgARZBCt0jMO1l+fLlGDx4MCZPnmztwCKMECzrEARBEEIF\nl8uMjFdV0R3D5eLvdLpJXBzdPGxdMvztGLebJwEOh3lSoA+dEvP446ZIbw+nE3jqKWD+fAruYOLR\nbjdfR3tjaWwEqqspTgDgo4+AV16h5eDAgcAvfwlcdRWfIxSjyL1JTQ3w5Zc8YUtPD73XrxSj6I89\nxs/w9dez42i0dIA5Lerr2eTIMACn04n3338f1157LYxQO0MLc0SoC4IgCAAoaJqaKEqrqihCtRA2\nDArZxEQgNbX7z+F2M9JdVmYeJ04wml1bS9FXU8Nx9BQVFcC8eUxhSUqimMzMDH7k53Mr3z/dRee0\n6/q4lStZgKjfm9JS4M47gSNHmGajT1zS0xmBj49v/yQhnKmtBQ4cYJpRYiKj6KFGWRnw6KPAunXA\nqFEU6xMmWD2qyMDjAXJzeX3dunVobm6WtJdewFCnqtKJAGbMmKG2bNli9TAEQRBCCi3M6+sptioq\nGKkGGBVNSOhe1FEpRp+PHqV41ZdHjjC1ROeKa9LTWXCYlmYK3PR0nhAkJFDk6sv4eEa/bTbgllso\n8E9FSgpw7bXcFWho4NgqK3kyUlnJvGp/7HYgLw8YNIjCPT8fGDyYaRJ5ecC3vkUBGEhuLrtaejwU\n8S0tfK1KUfinpvJ1paWZryfc8t+9Xr5/Bw/yhEqnBYUaLhfw+uvAX/7CMd98M/D974emPWQ44vFw\n7li4UKe7KWzfvh1jx45FbCga5fchhmFsVUr1WD9b+cgKgiD0IxwOCvMTJyjMXS4utPHxFJJdFY4+\nH1BSAnz1Veujrs68T2wst8jHjWOueF4eRW1uLqPX7aWcnIrbb2+dox6MuDjg7rvbz1FXiuK9spLv\nR2kpcOwYj5ISOpc0NrZ+LYHCXnPiBC/tdkbuk5LM3/l8/LuiIuDQIfP25GTz5ESL91DTOfo9OnGC\n43e5GEHXRYShhFLA6tXc8SgpAebM4f8/P9/qkUUW/m4vAGAYBqZMmWLpmCIVEeqCIAgRjM/HRbWq\niiK0sZGLa2wshWRXI4y1tWwQU1jIwsG9e800FbsdKChgPviIEVzIhw2jIO/J/HWNFt/+ri9z5tBy\nT/98220dF5IaBiPuKSnBCwuV4vunBfahQ8Abb5h5+v5ERwNPPslCxTFjeHKiT3xsNnNHwP+xXS7u\nZhw7ZjrR2O3m7oJOndHFq32Fy2WewJSW8mTIbuf7FKpR6cJC1iPs2MHP35/+BMyebfWoIhOPx0x1\n2rFjB5566in85je/wZAhQ6wdWAQiqS+CIAgRhsvFiPbx4xSsHg/FVWJi16K1SlGgFhZSnG/fzjQW\ngI83ejQwdixF6ZgxFLq9LSa1zaJ2ZlGqbSqNxjBMi0ebzbSBPN1c8UC3GYCPm5tr7lIAFNejRvG9\nmTABGD/eLL471WvU/vK6eFU/R3IyD20jGRNj5tBHR3f9tXk8pq1mczNPxKqrzV2E6Gg+VygXXm7b\nBjz/PLB5M5CRAdx6K/DNb4ZfWlG44HLxs79gAT9v9913H+6//36cOHECWaFomt/H9HTqiwh1QRCE\nCMDppMAqKWH0XCmz+LMrgqWyEvj8c/MoL+ftqanApEnA5Mk8xo7tfspKMPybILndwcW39liPjjYb\nG9ntphDX99HiXV9q+0X92FrgB/qpR0W1Fr0dvW+B/u06cu/xMBf/q6+426BTgRwO/l1KCgX7+PGm\neE9P79x7pJtG6eZQgd1aAb4f/o2d9ImKvp9/4ymdQ69/p3da+jp63x2UAjZtAl5+GdiyhQL9Bz8A\nlizp2c+l0JaqKu5Y6B2o6dOnIz4+Hhs2bLB2YCGCCPVuIEJdEIRIxOHgollczEioYTDPOSGh85HV\npiZGJD//nMJH50+npgIzZ/KYNg0YOvT001eUat2N1H/5iYlh5DY52Yz8x8S07jLaE9FwoK1411Fl\nh4Pvh3a+8XhMAatPEvS4uvJeeL3A4cPArl1MF9q1i8WYWiTn55vCfcIERuG7KzYDdxwCT3i0cNcN\npnojJak3cTiAd94B/vEPvqeZmcA11wDf/rYI9L6ivByYO5ff12PHjmHw4MF45JFH8POf/9zqoYUE\nUkwqCILQj3E6GfX2F+dJSV0r7Csqol3dhg3AF19Q1MXGAlOmAN/4BnDmmRSLpyPilDK7lOror2FQ\nhGdkmM4ncXFmBLivsNkotk8VNfZ4zNfgdDJXXdtH+nc51VHo9tJDoqIYgRwxArjsMt7W3MxI+65d\nPLZvB95/37z/vSoBAgAAIABJREFUqFEsvh03jiL+jDM6tzOiBXgop6p0FaXo075iBXcyGhr4vtx/\nP7BoUehH/yMJp9Ps4AuwyREAfPOb37RwVJGNCHVBEIQQx+Vi5LyoiOktNlvXXDc8HuaZr1/Po6iI\ntxcUAFdfzYK7SZNOz23E6zUbEgHmCUR+vulokpAQXnnDOrVG+6dr5xClKFh0BL66muK9ttbsyhob\na1pJBiMhgTsV06aZt1VUmBH33buBVauAf53sCR4Xx3Qjf/Genx953uz+lJby5OWddxg9j4lhXvQV\nV/DzGsmvPVRpbOTn0J/58+djbOCNQo8hqS+CIAghiMdD8VdcbOaJJyZS4HWGpiZGzNeuBT79lAts\ndDQwYwadUebOpU1id/F6GRXWBZVRUUxDyM6mQE9MDF13kN7C7TZTZ6qqeOgUH7vddG/prMD0+XhS\ntWcPhfuePcx718Wqqamtxfvo0SxoDVcBqyPn69YBH38M7N/P2ydP5k7P+eeHpmd7f6K8nCdL/u5F\nQmv6ZY66YRgLAKwJ8qs6pVTaqf5ehLogCOGAUnRr0V7eXi+FeWJi58RXXR1FzkcfMd/c5QIGDKAw\nnzcPmDWr80I/2NiamxlF9vkoPLOzeei88nAViL2J00nhXlfHiLmOuutOr11teuTxsBvonj3mcfCg\n2ahKF8gmJADnncdUm4KC1p7uoYLPx5qIrVt5bNvG98dmYxrWvHkUhYMGWT1SAeD3PyaGqXEAUFdX\nh+TkZNjCrdChl+nvQv2/AGz2+5VHKXVKBS5CXRCEUKapie4hR49S2MXEUPx2RsBVVTFq/tFHdL/w\nehlVXbiQQm3ixO6nm7hcHJvbTfGUmcnHTkmh8BNh3nW83tbCvbLSzHfXPutd/X85ncArrwAvvdTa\nztGfAQPYXXXIkNaXeXl987+sq+Pu0KFD3BXYu5cRc+3BP3AgMH26ueOTdsoQnNDXVFRwd2PgQP58\n3XXXYdOmTdi9ezcMmQy+pr8Xk36plPrM6kEIgiCcLm43RfaRI0xxsdnMxjunorIS+PBDdmAsLGQE\ndcgQ2tMtXMg0iO6smzpq3tzM6/HxdHvJyAjtRjfhRFSU+X8ePJgivanJ7PxZUUExHxXFiHtnHHzi\n4oDly4OL9LQ01iEUF/P49FPe15/YWO6MZGXxZCwz0+ysqj3bdXMsf096w2hdm+B08nVUV5vHiRPc\nHaqvN58vPh4YORK45BLm2k+bdnppWELvo3eBMjL4s9frxTvvvIPzzz9fRHovI9OuIAhCH6EUt/Z1\naotSnS8KrasD1qxhcd2WLRR4BQXADTcwcl5Q0D1xriO8Tqe5EBcUUODpIkqh97DZzCZGeXmmcK+t\nZT5wVZUp3BMT27cgPHEi+O11dcC117a+rbmZn7+iIqCsjCcHOrq/Zw+fUxcFd5e0NEbxs7KACy5g\n+srgwTzxGzw4vIqKBZ6A5eSYDjubNm1CRUWFuL30AeEm1F8zDCMTQC2A9wDco5QqsnhMgiAIHeJw\nUHQdPszrMTEUMadK7WxuZs75e+8xEurxUORcfz3FT7CW953B4+HC63YzSpqbyyMtLbJs/cIRf+E+\neDBFuo5SHz9uFhbraLve5cjJoegORLd59ychgfaPo0a1Pw6Px/ST14f2aPdvKGWzmUWy8fGMvKel\nye5LpOF08vOoWb58Oex2Oy666CLrBtVPCJevUh2AJwB8DKAewFQA/w3gU8Mwpiqlyq0cnCAIQiBe\nL8VVURGjnTrl4VSuFS0twCefMHK+bh1/zskBrryS4nzMmO5Fzt1uph94vTxRGDSIj5uSItHNUCYq\nisI3LY0nZi0tjJKXl1OY6/qBm24CHn3UdOEBKJ5vu617z2u301UmNbVnXocQvng8PIH3rxtYtmwZ\n5s+fjzQpJuh1wkKoK6W+APCF300fG4axDsDnYIHprwL/xjCMmwDcBABDhgzpi2EKgiCgsZGRzyNH\nuMAlJDC1pSNx7fGwM+j77zO9pamJ3uOLFwMXXkjP6O4YK7hcjMZ6vRRtw4czFSElRQpBwxWdT56d\nzVqExkaeECYlcbfmlVeYxpKTQ5F+8cVWj1gId+rqWjfcUkrh8ccfR5y0gu0TwsL1pT0Mw9gDoFgp\ndWFH9xPXF0EQehO3m/m9hw9zUbPbT1186fOxG+V777EwtLaWYmvhQorzGTO6lz7Q0kJx7vPxJGHw\nYIpzcWmJfJxOFiYfP06x7vNR2Cclya6J0H3Ky+nEIx72naO/u74EYgAI3zMNQRDCFu15XlLCwjyf\njwtZR4WhStEDe9UqCvSyMgqpefMozs8+u3vt0P3FeWIiG99kZoq3eX8jLo7WeQMH8uSxro6fsePH\nuWsTE2O6twhCZ3A626bsPf/885g9ezYmTpxo3cD6EWH7dTUMYwaAUQD+afVYBEHoPzidjFYeOmQ2\nADlVYWhJCYX5qlX8u6go4KyzgB//mCK9O02I2hPnodjYRuh7oqNNq8WxY03RXlJiivbOevUL/ZeG\nBqbeaaqqqnDrrbfinnvuEaHeR4SFUDcM4zUAhwFsAx1fpgL4BYASAE9bODRBEPoBPh9TCo4eNV03\nUlI6jp5XVzOlZdUqYMcO3jZlCnDPPcCiRd1r6OKfc66dO3RaiyC0R1QUTyYHDGAxcm0tRbvufqvd\nWmT3RfBHN+LKzDRvW7lyJbxeLxYvXmzNoPohYSHUAewCcCWA/wMgAUAZgLcA3KuUqrRyYIIgRC6N\njRQ0R49SJMfHc9FqT9A0NbFL6HvvAZs2UQSNHMnI+YUXmh39ukKgOB8xQnLOhe5js5miffRonoAe\nO0ZnIqX4uYqPt3qUQihQX093KP90vGXLliE3NxczZvRYCrZwCsJCqCulfgvgt1aPQxCEyMflYsMX\nXRgaFUWLuvbyet1u2imuWmXaKQ4cCFxzDcX5iBHdG4MW5/HxIs6F3iEqykyP8f/cl5d3riBaiGxc\nLiA/3/y5paUFq1atwve+9z3YumNDJXQL+QoKgtDv8fmYDlBSwkOpjgtDfT5g2zZGzlevZuQpLY12\nihddxJzOrgpqEeeClcTEmIWo2mL06FGeiCYmSpfa/obTyf+5f4rel19+KWkvFiBCXRCEfktjI7f8\njx5lJDw2FsjICF4YqhSwdy/F+XvvMeoYHw8sWEBxfuaZXY8+ijgXQpGkJKZsDR/OWgv/KHtqqhSg\n9gcaGoDx41vPQ1OmTEFVVRWi5APQp4hQFwShX9HSQs/zI0cYCdepLe11YDx0CPjgAx5HjvD+Z58N\n/OQndGzpas+PlhazHbuIcyGUiYriZzMri5/ZY8d4UqsUvy/dsRIVQh+fj3NRsB1FaXLU94hQFwQh\n4vF4WDRXVMTIoGF0nNryt78BL7xAcQLw/tOmAVdeCZx3XtcdW5xOPpa2UhRxLoQbSUl0jBk+nLtQ\nBw4wXSw5WYpPIw1dRBoba95WWFiI6667Di+++CKmTp1q3eD6ISLUBUGISHTeeWkpD+2akpUVXBwf\nO0Y7xTffpNOLPzExwGWXda0du784T04Wn3MhMoiJYbfb/Hz2EzhwgCe/CQny2Y4UXC4KdX+WLVuG\n7du3Iy8vz5pB9WNEqAuCEDHobqEnTgDFxSyEi40F0tOD552XlZlpLXv28Lbo6Lb3a2kBnnmmY6Gu\nFOBw0KJRKTpmjBtHGzwpxBMiDZsNyMnhrlR1NbB/vwj2SMDh4NwVmAq4bNkyzJ49Gzk5OdYMrB8j\nQl0QhLBGKRY+nTjBqLjTSbGdnBy8uLOsDPjoI4rznTt527hxwO23sxFRe4YGJ060vc3nY3dSh4Pj\nyMwECgp4YiDpAEJ/wDBYgJ2RwfQyEezhTUMDEJjZcuzYMWzduhW//a24ZFuBCHVBEMIOLc7Lyxk5\ndzpZ+JaSwiOQo0eBNWso0HXkfNQoNiJatKj1Nm9OTtvUF307wBSaxkZG2W02ptKMGcO8df+cTkHo\nb6SnA7NmUbDv3cuT2+RkinYh9PF4GOTIymp9+4oVKwBAbBktQoS6IAhhgVIscqqoMMW53U4hECjO\nlWJkT4vzgwd5+/jxFOfnngsMGRL8eW67DXjoIT6+Ji4O+OEPeWIQHU2v6ZwcinNpCCMIrUlPp11p\ndTXw1Vf83qSmyolsqFNXx0L3QPfF4cOH48Ybb8TYsWOtGVg/x1BKWT2GXmfGjBlqy5YtVg9DEIQu\n4vNx8SgvZyOilhYzch6YS+7zAbt2meK8pIQR76lTgYUL6Xeem9u55125EvjTn/i8WVnADTcA117L\n6ykpwfPdBUFoi8/H79GXX/L7m54uJ7ehiM9H29qFC7tuOSu0xjCMrUqpGT31ePJ1EQQhpPB46NZS\nVsbuiHo7Njm5bYGTxwN88QWF+dq1jLbb7dx+v+46+pwPGNC559X55s3NwPTpwNKldLbQxaBioygI\nXcdm4wlyZiZrSPbu5cl2Wpp8p0KJ+nruMgaK9IMHDyI2NhaDAm1ghD5DhLogCJbjdDKv9fhxim2f\nj9vkwbogNjYCn34KrFsHbNzIBSYujk2Izj0XmDOn80VsHg8fz+Xi82RnM988NVWiSoLQk9jtwLBh\nFO0HDrCnQVKSOCKFCi5X8HTABx54AMuWLUNFRYV0JG0Pt5sRnsZGoLISKUCPllGLUBcEoc9RinNa\nVRVTVBoaeHt8PN0jAiNtJSXA+vUU51u3sqAzLY0R8/nzgbPO6pywVoonBU1NPBmIi2MhaVaWtEYX\nhL4gLg6YMIHfu927WXCakSHpMFbS0MA5MDm59e1erxcrVqzAJZdcIiJd4/VyAWluZhFGVRUXM8Pg\nERuLKKBHkyPlqyEIQp/gdpv55sePM4JjszGqFugy4PNxEV+3jocuBj3jDODqq4G5c4GJEzsnrPW8\n2tJCoZ6WRjvG9HRJaREEq0hL4wn2sWPMX7fbu97xV+gZmpuByZPb3v7pp5+iqqqq/7q9eL1mc4ya\nGopyHVUyDOZkxse3aXHd05WfItQFQegVlDLnt7IyznFKsbNhUlLbCJrDAWzaRGG+YQODFVFRwJQp\nwB13MHo+eHDnnltHzb1ezqW5uXRpSU3l8wuCYD02G9MtsrLoDnP8uNic9jXNzXzPg50kLVu2DNHR\n0bjooov6fmB9jX+Rkr8oV8pcuOLiWGzRx9EdEeqCIPQYLpdpoXj8uOk1npDQdn5Tinmqn3zCY+tW\n/n1iIvPN58/nZTBf9EB8Pgpzp5OPm5xMm7GMDF4XlxZBCF3i43lCnpdH56bGRhZxy25X79PYCMyc\nGfy9Xr58ORYuXIiUzkzC4YTPZ0bKa2sZFaqr4+06Uh4XFzwP0wJEqAuC0G18Pk70NTVAaSnnuo8+\nAl55hWI9J4e+5BdfzPs7ncCWLRTmGzcy9xxgVO0732FKy9Spba0Xg9HSwuf2+SjEs7Ppby6FoIIQ\nfhgG54v0dGDfPjYpS0uT73Jv4nAwkJGREfz3a9asQXV1dd8OqqdRyhTldXWMlGtRDnBrt73iqBBB\nhLogCF2iuZlR8xMneHi9FMqJicDmzcDTT5vNgsrKgAceoEtLTY0ZNY+NZRTnqqsYNe+M85femXQ4\n+HNiIlBQYEbNpdZJEMKfmBgWm+bkADt28Dufnh6yGiqsaWigFW17721ubi5yO9t8IlTQeY/19RTl\n1dVcPJQyI+Xp6WG1zSpCXRCEDnG5OKFXVjKdRYvwuDhGvPwF8rPPtu7oqf/+3XfNqPnZZwPTpnUu\nD1VHzb3e1vaJKSkMggiCEJlkZdFqde9ediIeMEDqS3oSHU3PzAz++zvvvBPz5s3DZZdd1rcD6wpu\nN0V5Q4Mpylta+LuoKC4SYSbKgyFCXRCEVni9nPdqaynM6+rMWprExLYWXoCZa15W1v7jvvXWqZ/b\nP2quFItOJWouCP2T2Fhg0iSeoO/cSb0lzjA9Q0MDMGNGcA1bWlqKP/zhD8jIyAgdoa4UF4emJopy\nfwcWm42Ro8TEtl3xrBhnDyNCXRD6Odqdpa6OqSyVlWYEOzGxrXUi0DrX/JNPaLEG8G+83rb372j3\nNFiuuUTNBUHQ5OZSf+3aRXvXjAw5aT8dmps5v7YXTV+2bBkAWCvSdTe6+nouSlVVvK0DW8Q+H9+R\nI+Zx9Kh59DAi1AWhH+J0cv4rLwf+/nfghRdY/JmdzeLPSy5p+zeBDi0tLYx4zZgBfP/7TGnZuRN4\n6KHW6S9xcXxMTTCHFomaC4LQEfHxzKcuKqLvelIS3aSErtPQAJx5Zvu56UuXLsXIkSMxbty4vhuU\n02k6E5SXm9aIOlpuVUc6pXiisH8/W+rqy8OHKdY1ubnA0KHAN74B/POfPToEEeqC0A9wu80887Iy\nCmXDYLfPP/zBFNYnTgAPP8zfLVxIQa7FeXEx7zNkCPDtbwfPNddFoc88w8fSri/nnsuAiH+u+cCB\nEjUXBKHz2GzAsGFMOy4s5JwiNo5do7GRQZEBA4L/vra2Fh999BHuvPNOGL35xjocZm55ebnpEqBd\nWIJt5fY2SnGB3L0b2LOHZ4T79nG7WZOdTe/fs84CRo5kF76hQ1svZD0s1A3VC/k0ocawYcPUkSNH\nrB6GIPQZ2jZR55nX1JhF74mJZlHWpZcGzyuPieHi5x81P+ec7jm06Kj5wIESNRcEoWdwu6mjjh3j\nvBLYQE1oi1LUxOec034q9549e3DttdfiqaeewuzZs3vuybUwr6xkFMfpNNNYEhM758nb01RXm6Jc\nHzU1/J3dTiE+ejQvR4zg0Ykc+PQZM/bXKDWqp4bZL4S6YRjqjTfewJIlS6weiiD0Gg4H01nKytra\nJsbFBY86zZjR/uNdeWXXHFpcLp4ceDwSNRcEofdRiv0bdu7kHJOUZPWIQpuaGs7Lkyb1wZM5na23\ncfW2bWwsF6W+PrNSivnjhYXA9u08ior4O5uNkfFx48xj5Mhu2wz1tFDvF+egiYmJ+MEPfoBBgwb1\n7BmiIFiIx2NaxR4/bqazBLNN9KeoiM2GPvmk/cfOzQXuuqvj59dFqDpqnpjIuS4jg+JcouaCIPQm\nhgHk53O+KSykJgzhvjWW4vVyzRgxov37uFwuuFwuJHXnjEfnV1ZVmfmV/nZhfd3d1OXilsv27fxw\n7NjBLWaAUfHJk4FvfYtnLaNHh3TBQ78Q6iNGjEBDQwMWL16Mzz77DMOHD7d6SILQZbQ7VW0t58HK\nSt5mt3MebK8Avj2HliFDmGa3ZQvnWE1g8ac/2rbW5WIQIjOTgYe0tJCe5wRBiGCSkzmXffUVg6aZ\nmZIKE0h1NTBqVMfz9HvvvYfLL78cGzduxPTp0zt+wI7yKxMS+j7H3ONh6srmzVzUtm/nQgVwsZs7\nl+J8yhTmlIfR2Vy/+Cjb7Xa8++67OOuss/Cb3/wGr776qtVDEoRO4fGwjqWiwmw2ZBicB9uLHCnV\n2qFl2zYz13zmTNOhReear1zZtvjz4ovNx3I6eYLg9VLEDxrEOTglRRZDQRBCA7udHU3T0yUVJhCn\nk/P/kCEd3+/tt99GbGwsJk6c2P4D6fzK8nLTLjExkWdHfSl+fT46sGhhvm0bFyqAZyRLlgBTpzJi\nnpHRd+PqBfpFjvqMGTPUli1bsH37dowcORIJEvoTQhgdNT9+nFFzn4+7h0lJ7QvjlhbOU+vXM62l\npIS3DxnCwqFzzuGc1Zlcc6+XUXPd4C09HcjL42ViYlgFIgRB6Ic0NABffEFdKa4wDMLMmtW+bzoA\neDweDBw4EOeffz7+/ve/80afz0xnOX6cIt0wzDzzvsxv1BGozZtNca7dWIYM4QucMYOHxV2xJEf9\nNJg8eTIAoL6+Hi+88AJ+8pOf9K79kCB0Ap/P7OlQUkKhbrMxItRRvmVlJUX5+vXApk3MFddR86uu\n6rxDC8AdwoYGinS7nZH1gQOZyidtuwVBCCd0Koy4wjDok5fXsUgHgI0bN6KyshL/cemljJaXlfHw\n737X1w2GXC5GoDZuBDZsMD2Cc3KAefNMYZ6T07fj6mP6xUe3qYm5tdr957XXXsOdd96J+vp63Hvv\nvdYOTuiXuFwMBhw/zrnQ5+NcmJTU/natUsDevZyv1q+nqxTAOeob3wDmzOGcFRd36udXisJe1/sk\nJgLDh3MyT0kJ3lZaEAQhXIiOBiZO5E7grl39s0GS2821ZcyYDu500hXg7b/9DbExMbgoNpYNNE7l\nStBb6AjUhg2MQDU3M1o0YwatyM46ixGoUAiyKsX0H7ebh8cD+HwwgB4dXL8Q6m43v6hTpvB/e8st\nt2DTpk247777UFBQgKuvvtrqIQr9gOZm1tuUlLCwB2AEvKO50OnkLt/69Zy3ysv5GR4/Hrj1VtbH\njBzZuTlLp7ToPPeMDIrz9PT+t4AJghD5GAYweDCDD9u2cd5tr9FPJFJVRXvdNsEbr5fbuBUVXJCc\nTtx45pmYmZ+P5GHD+naQPh+rgHXe5p49vD0nB7joIi5yM2d2LgLVW3g8XDhdLr53gNk1NT6eC2hm\nJq/HxaEBaOrJp+8XOeqjRs1QTz65BSNHUtQAtCG66KKLsGHDBnzwwQeYP3++tYMUIg6lTBvZkhIW\nyOu6m/j49sV1ebkZNf/8c+aKJySw5fO8eUxp6WxtjNvN53W7JaVFEIT+i8vFXcjjx/tHKkxNDV+n\nDlC22cb1erntkJTU982GmpoYLV+/no4HVVUc5MSJ3BqeM6fzEaiexuXidrPLxUVc5+SnpXHhTEri\nz3FxZmfAAAzD2KqU6qBLSdfoN0L9tde2oLycBXV5eby9pqYGZ599NqKiorBjxw7YZL9fOE18Ps6F\n5eUU5y0tZkpLe4WcSgEHDwJr1gBr1zK9BeDndO5cHtOmdV5YO50U5z4f55L8fNOlRbzNBUHor+h6\nxN27I7sRm9PJY850B2KbT27jVlXxl0EKQd9euxZRNhu+OW9e7w2quNjcGt62jVHqpCSmssyZwwhU\nenrvPX8wfD6Kct0MBOB7k5HBrRcdLe/iiYwI9W4watQM9b//uwUeDz+rs2eb219HjhxBVFQUBg8e\nbO0ghbBFWyiWlbFLnsfD73VycvtRG5+P/RfWruVx7JgZUJg3j+J8+PDOBRQCGw+lpDCFLyNDXFoE\nQRACqa2lK4zHE2GpMEoBjY2oPViFGbnHkGprMP18ExLaXQwmX3klUpOSsO7553tuLG43Gw3p7WHd\nBfSMM8yo+eTJfbu14fMxB9XpNAvDMjLMSFZiYo/sLvS0UI/wzZ/W2O3cufj8c57EpaYCw07mY3m9\nXjz77LO44YYbEB+pp9lCj+F2c7IvLaX1ldfLQEVqavtRa5eL+eZr1wLr1vGk0W6nq9Q111Cgn6oy\nXxOYb56VRevYtLTIjRIJgiD0BGlptKzdvZtzeFg3SPL5ENVUj6iaCsSUH0PdCSdGD7IhNS0JiDu1\nS8uhY8ewY/9+/P6OO05/LNXVZiHoZ59xkYqOZiHod79Lcd5ZK7KeQDcCaWoyhXlmJtuzamEeBpkU\n4frR7DZxcfzfff45I+vJybz9s88+w+23347169fj9ddflzQYoQ0ul1kMWl7Oz1F8PHfr2vu4NDUx\nBW/NGs5fTU0MbJxzDrBgAS8725TD42FKi8vF+SY3l/nmaWl9n2IoCIIQzsTEMH87M5NmEwkJYdQg\nyeNBVGMd7FUnEF1ZCsPrBmx21HqTkTw8BXmjAXRSwixduxYAcNmCBV0fR6AV2Z49vC0zEzj/fArz\nWbP61q1AL5S63XZaGm1v0tP5Dw5DbdfvhDpAceXzUayfeSb/d+eccw4effRR3H333Rg6dCgee+wx\nq4cphAAtLQwSlJSwKBTg56ejJmzV1YyYr1nDz5jbzTli0SJg4UIWsHem8RDQ2t88JoZ56zk5HUfu\nBUEQhFOjXWHS0pilUVnZce8KKzFcLYhqrEN0RQns1RWAzwtEx8CblALYotDcDNhjGCzuihZdumYN\nJo8ahTPy8zv3B83NXNg2bGD0qaLCtCK7+WaK89Gj+/ZN9C/MiolhBCs7m1HzCHBN6JdCHeCOR2Mj\nd2fOPJOR9bvuugtHjhzB448/jry8PNzRE1tBQtjhdFJsFxczgg6cWpyXlFCYf/wxsH0754u8PODy\nyynOJ03qvLD2n3MSEoCCAtPfPBQXEEEQhHBGN0javx84dIjC3Uo3QI3hbIa9vgbR5cdgr68GYMAX\nGw9vSutt3JYWBoQmT+7a7qrD6URJRQWuvfTSju947JgpzLds4ZMlJjItYe5cFoL2ZbK/UjxhaG42\nC7NGj+YYkpMjbqHsV8WkwdCt0mfNYpTS6/XiiiuuwLvvvosDBw4gT1vECBGNw8Gc8eJi5p6fykZR\nKU7quhh03z7ePnIkU1oWLGDOeGeLQR0Ozjk+nxSDCoIgWEVVFYMtutC0T+dfpWBrakBUfTViThyD\nrbkBgAFfQiJUbPDFyOWijpk40Uzl7dpTKrS4XIjz3+b1ePgmbNjA4/Bh3j5kCIX5nDnMG+rLnEtd\nCNrcbDYCyc/ndnWIFWaJ60s36EioAxRJjY3A9OksynM6ndi9ezemT5/eh6MU+prmZlOc19UxQKGL\n44Ph9QI7d5o2iiUlnC8mTWLUfMGCztfJaKeW5mb+PGAAt2BDcM4RBEHoV7hcTL0uLmYAr1ej614v\n881rKxBdXgLD1QIVFQUVnwgV0/ET69TI8ROA9LSuP7VSCoYW/7W1ZiHop59SFNnt9AbWLi1DhnTj\nBZ4GPh/H4XRygc7J4VZ1WlpIp7SIUO8GpxLqAKPqtbU8K/V3avzrX/+KiRMnYurUqb08SqEvaGpi\nHuKxY2zMZrOxRqG9idjlYjqedmqprmYQYeZMivN58zrffMh/zjEMptDl53PO6WzOuiAIgtA3VFQw\nOOPxdGwa0FXMfPNS2GvKYfi8UPYYeOOTOm0/09LC9WT8+O7Zj5dXVWHKFVfgudmz8a3SUr5Qpbig\nnX02I+dnnslt3b7Ef6H0d01ITw8bax4R6t2gM0Id4JexspI2n6NHAy0tzRg3bhycTic++eQTDB8+\nvA9GK/RtWPosAAAgAElEQVQkJ21lUVVFG9emJn73ExPbF+eNjaZTyyefiFOLIAhCf8XtZkO6Q4e4\nbnTLGUYp2BxNiKqrRkxFCaIa6wAAvpg4+OK7bhHY3Mw1Zfx4pkp26Q8//xzYuBF//vBD3NzQgEIA\nk8eN48I2Zw4wdmzfO6MEE+c6ch4m4twfEerdoLNCHaCwq6zkdtfkycDRo19izpw5GDBgADZu3Ijs\n7FP7kgrWohSj5RUVjJw7HJx3kpPbj1xXVtJdas0aep1rp5b58ynOZ83q/E6b283tSN34KC+P8444\ntQiCIIQndXV0H6yt5Vx+yl1QjxtRjfWw15QjuvI4bO4WKMMGX1wiVFz38xvr67mOjB3biWC3UsDR\no0xp2biRXZ7cbiAhARfExuKwYWDfa6/ByMrq9ni6jc9nduqLAHHujzQ86mV085i6On6uJ00aixUr\nVuC8887DJZdcgjVr1iC5OxUbQq/i9XIC091BdQT7k0+A//f/2JQoJwe47Tbg4ov5N0VFZjGo3vXL\nz2dfhgULuubUorchdeOjoUNNd6gwtG0VBEEQ/EhNpcnJiRPAl19SI6Sn++2M6qh5Yx3sFaWw11Vx\nUYlmSosvKfW0nt/jBepqmZlSUNBB4MjpBLZuNcV5SQlvHz4cuOIK4JxzUHXGGfjoG9/Az665pm9F\nun9xls4517k7YS7OexN5Z9ohNZVib8sWYOjQs/Daa//E5Zdfhn//+9+4+uqrrR6eAP5/6uqA48cp\n0LXXeNLJNL+VK4Hf/Y7zFsD7PPAA8MEHjLQfOsTbR48GbrqJ4nzEiM5X+euGZ14vIxsjRtBGMQLd\noQRBEPo9hsHAb2Ym1539u1qg6uoxwFuBhIYyRs1hg4qLhzetAz/fLqJ3aAsKqG3bBH+OHTOF+dat\njBzFxnIr+Ac/YM65n4Pdv//9b3i9Xiw577weGV+H+ItzXZw1bpzkf3YBSX05BUrRS9tmA+Lj9+Gs\ns0aJCLOQ5mb+P0pLWdjp8zHXPDGxbfT70kspzoMxYwaF+fz5zBnvDMGsWwcPNm0UBUEQhAjG46Fq\nrqkBjh+Hp7YBNVUKxRUxcNqSEJtob9fStzs0NzMgNGAAMGyYnyNYYyMF+aZNbAZTVMTbhwxhrvnZ\nZ9OtpZ38nK1ffok3PvwQv/3xj03Xl54kUJxnZZm2Zv1AnEuOejc4HaGu0a4w2dlAQ8MmvP76i3j2\n2WcRJUnHvYrXy3mxspLivKlJnzSxwDPYHNPURHepe+5p/3G3dPLj4J9GF+LWrYIgCEJPot0AamuZ\n81Jby0UhwJHA5wPq6oHjpWZgLy6OOrmrOtjjBZpOplGmplJ7pyR4gF27WAi6aROv6zzL6dMpzM8+\nu+/tE/0JjGRlZdGveMCAkLZS7A0kR90iYmO55VRXB7z++id4/vk/w+324YUX/tw7Z6T9GIeD73NZ\nGVBezvnIbue82F4tr26ctmEDAw1uNyfIYOehubkdP3+gU4v/Tl0/m28EQRD6D243J/+6Ogpz3Zpa\nN9nIyAiqvG02+pinpzECXl/Ptau2lr83DMAeDUTbT+786odQFOYeN59aKQacc3MUshxHkbhzE/Di\nJi5qTU18oLFjgWuuoXXipEldXpS27NkDn8+HmePHn7528RfnAN+fkSMpzsVzuMfoF0K9vJzFzl0p\nDmyP1FTgxhvvQFNTNV566UEolYxnn30C8fEi1ruL282JraqK4lzPR3Fx7XvXejxAYaEpzo8c4e1D\nhgCXX860ltJS4JFHzBx1gI95221tH8/l4vzs79SSk8P/t9S4CIIgRBi6JXRTE/MoKyu5fasUhUJC\nApPRuyhm4+J4ZGdzPXE4eDQ08NLlYvAJ4NoWGwukpSik1hcjce82xOzcCuOLbTxRALiFe8EFFOYz\nZ3JROg3uf/55bN+/H0eWL+/eAwR268vMFHHey/QLCVJfD9x4I0/2zj0XOO88dr/trgCz2YA77rgf\nHk89Xn75D2hpScJ///f/YOhQo1stfPsb/ml+ejfRME4dNa+qoovLhg1My2tqoqieNg34zndoAevf\nrGraNM63zzwT3PXF4eBc4/UyjeWMMzjniFOLIAhChNHSwglf51JWV3MxUopR6fh4pmv0IHY7zQWS\nkwPWNW2buG0bo+XbttFPGKDgnT6dx+zZnW933QnqGxvx3mef4cff/W7Xouk+nxk51znno0czkibi\nvNfpF0J9+HDgP/8TWL0aWLYMeOMNfr4WLqRonz6966LdMAz89Kd/QEtLE44f34WSEh+KiqK+LvrI\nzJRIrEZHq2trW28H2mwU5llZwYMWLhewYwdT8jZtooctwPf2/PMpzGfNYuCjPS6+2BTmeq4pL+fP\naWncRUxP5zgkg0kQBCHMUcoU5Y2NFOTV1bzNMMzt2pSUvmts4fEAe/fSB3j7dgrzqir+LiODImTa\nNLocDB3aa4vR8vXr4XK7O+f24vXy/Wtp4WKdlcUFU3JA+5x+V0zqcNDBaPVqRmYdDtr5nXUWi6XP\nOadr7Xh9Ph98Pi/s9mg4HE1QKhGNjfz+5+WZXSj7S82pFsN6N7Giwqwt0fU37RXYKMUOcFqYb9tm\nNiobP561MnPm8ES+s/OYTjl0u818c/0/kUCAIAhCGONycRF3OplXXlvLS51bokV5XFzfRs6qqxll\n2rGD4nzPHgpegIvQtGk8pk9nvmYfRYn+46c/xeY9e1C0YgVswbaNAxdM3a0vApoQ9SVSTHqaxMcD\nixbxcDqZQrF+PUX7Bx/w+zJhAgXhnDlMveooDcJms8Fms6GhoRY33DAX5577Hdx8833w+Ri5LS5u\nLRBTUiLHLcTrpQh3ODg/VldzjtTnfqfaTdS7f4WF3P3bvJk7kgCDCosXM2I+Y0bn2zbrtMPmZtO6\ncfBgjkE6gwqCIIQZHg9FrtNpVmrW15vm4pro6JMJ32l9m7vocDBa/tVXwO7dFOe6yZDdzsjSt7/N\nIrmJE0/tZtBLuD0efLJjB753wQWtRbrO01fK7NaXmckFU3JAQ4J+F1FvD5+P3zUt2nWaRXo6heKM\nGRSNgwYFP/n1+Xx44IEbsHz5S1i48F58+eV9X+dF/+hHwNy5nGOUMgtNtP92QkJoC0iPx5wjtY95\nfb0phg2Dc+Sp7Kh8PuDAAUbKv/iCR3U1fzdgAN/jM8/k0ZW5zN+lxTD4WAMHSkqLIAhCSKMUo7du\nNydwHSFvaKB41BX+Gr3YxMbysq8XzsZGU5Tr48gRMzqVkUFBrkX5mDFfWziGAs6WFjQ1NiIjOtp0\nWUhLY8HqgAGyYPYQ4qPeDbrjo15ZyWj75s08dF5zbi4Lr6dP53dx8GDzc+3z+XDLLTdg27aXAPwG\nwH0ADMTFAb/8pZkr7XZT5Lpc/H4bBotNUlL4nYmP5zwUE8OjN783SnEedLnMudLp5HykD5fLvL/e\nSdRj64i6Op7w7N5N29ft2zn/AjyB0bt/U6d2LS1PO0I5HGYd0MCBZtS8H/RTEARLcDgcKCkpQUlJ\nCaqqqlBbWwufz4cbbrgBAPCnP/0JW7ZsgdfrhcfjgVIKeXl5+P3vfw8AePnll1FZWYnMzExkZmYi\nOzsbw4YNQ3Z7FeRC+OH1clHRl263ednczOi43vZsaTFFrl4MbTZO6tHR1ohx/RpKS5mLeeAAL/fu\nNRsLAVxwxozhMXYsL9sruLISpcw22j7fSf/HXNPWTPLNexwR6t3gdBseKcXvpxbtW7ZQhAL8nE+c\nyHSZSZOAe+/1oaLiRgAvAngCwJ0A+L1YsaL9x9fBBP95C+B3XqeQxMZSJOv5Kzqac5qujwl8TKX4\nvfR42orxlhYe+mTBH/2c+jk6k5rW2Mj5TO/+7drFtB/9eEOH0mln6lSK8852A9XoaL7Hw9eckcHH\nSE2VIIAg9BRerxdFRUXYt2/f10dxcTGWLl0KwzDwgx/8AK+++mqrv0lNTUXtyQrxG2+8Ee+//z7s\ndjvsJyeOgQMHYu3atQCARYsWYfXq1a3+ftKkSdi+fTsA4Be/+AWioqIwefJkTJkyBQUFBcFzaXsa\nPWHq6/6XgdeD/RyM9ialwNuD3a+ztwXS3pgDX197h8/X9tL/0AuJFt5ahPsvLoHP7T9+u731ERVl\n7eTt8dAT+MgR4PBhCvKDB4FDh8yccoC52qNH8xg7lpeZmZYN+5ToYtqTDUVq7XYsvP12/O7BB3HB\nt74lKS29jOSoW4AWmkOHAkuWcL46fJg1Ijt2UJRu2KDvbQPwPIBhAK78+jHaa2WvHz82lkegvaNS\nZmCiocFsjOb1mnOrbuzj3+An8HpUFL+bNhuva5vY5GRznly5sn0rQ43Hw+ZC+/fzOHCAR2mpeZ/s\nbBZ/futbvBw7tvM55hqXy9x1MAz+/fDh3J1LTpa6FkE4HZRSKC4uRmFhIQoLC3H33XcjPj4ev/rV\nr/DII498fb/k5GSMHDkSTqcT8fHxuP7667Fo0SLk5+cjKysLqampSEtL+/r+zz//fIfP+8EHH6Cx\nsRGVlZWorKxEWVkZe794PIDPh82bNmHtunXwniwGTEpKwi0//CEeu/dewOeDu6UF0TabGbHVhxaR\nenIMFJj6CCZGAydPf9qbVLtKsL8NvC3Yz0DXnzPYmE/1OjpaPPyv64i3/6EXlOjo1gtKqOD10tWg\nuJgRN/+jpKR1ak1WFhea73wHKCjgMXx4x9ZioYBeMN1u/pyQwCLVjAwgJQVLX30VhXv2IC0/X0R6\nGCIR9R6ioYGR5HvuYXTZxAPgjwB+jIkTYzFkCL8/Q4fycuBAitC+mtvaE+MrVwIPPdS6OVB0NPss\nJCVxjisupiDXBfVRUXwdI0bwGDmSgYbu7GL7C3OA80xODoMWycni0CII3UWnoERHR+Pjjz/Gfffd\nh8LCwq+j4IZh4IsvvsDkyZOxefNm7NixA6NGjcKoUaOQnZ3dsd+yFsaBwlmLZh1p9T/0bToq6/O1\nekiny4U9RUXYfvgwtuzbh/FDh+JHl16KJqcTA6+6CvMmTMA3Z8/GpWedhfysLFp4vfgi8xOzs4Gb\nbuLEpYWl/8EX3PZnIXxxOpmrevx426OsjIdetAAuJoMH4+vFWB9nnHHazYT6DKeT6UO6BXd8PD/7\nesEMyIu/8MILsX//fhw8eFA6qfcBkvrSDfpCqGvaCt4PAFyAlJTzUVDwFkpKkr7Od9doUaqPzEzm\nqqem8jItzXSL0U5TnU3b83rNvPMVK4Dnnmudcx4VBUyezF0B/9sDxzdoEOeywYNNcX7GGd0T0P42\ntzqYof3U25lnBEHoJKWlpdi0aRM+++wzbNq0CZs3b8b//u//YvHixdiwYQPuvvvur1NLpkyZggkT\nJiApMdHMkfM//CcQnZ/ndFIg6Dy9jtYQ/+08/229wKMTVNbW4oG//AXL16/H4ZOuGtPz8vCHykrM\n9Z+8AouChPBC51TX1dG1oKaGQryqipf60D83NbX+e92QZ+BA88jNNRew7Ozwiip7vaYFpf6uJSfz\nNeot5g4W4vLycuTl5eFnP/sZHn744T4adP9GhHo36EuhDrSNWp999it4++3rMX78LDz55DuIjh7w\n9S7ciRM8ysrM6zU1bYJMbYiJ4Xqk5xv/IJFeW1taWgcS2sNm6/j5Nm8+vaCTbqPsn3+fmsp5Jj2d\nEXuJmAtC13E4HNi6dStSU1MxceJE7N27F2PGjAEAREdHY+rkyThz2jRcf+WVmDJ2rGlzp4tU9OF2\nty+4/dMb9HW7vUsi+7TQ+X8ni2qU04k9Bw9i+aZN+Nc//4mXvF5MALAZwH4A3wEQq1M2UlPZjnr8\neDMlJjBlJhjBou3BbtPvg35//N8nnYMd+J61d9+u/E6/96EQHfX5gu+a6IJRfel/XVsCNjaagry+\n3ryuUzgCiYtjNEcfGRnm9dxcivKcnPB1FPD5zGJbnd9qt5uvMyWFUa0uvL7nnnsOP/rRj7Bjxw5M\nnDixFwcvaESod4O+FurBWLv2bfziF1cgL+8M/PGP72DQoIJ27+vzmfnouodDfb1pkagPh6N1mqU+\nbDYz5127x8TGAo89Fvz5DINzW7A8+o6KYIOhA2365F/bUWZk8EhK4jwjOeaC0EW8XiiXC3/729+w\n6fPP8dnmzdixZw88Hg9uXLIEf77nHviam/HMP/+JmcOHY0pBAeICHR10QZ+/6NM/99AY0djICUzb\nRgUTaR0JOO0GoqMNwSreg/BjAM8AyAZwE4BbAOT3zKsKXQJPoNoT+MF+1nn6QOuc/Y5+DnQmcLs7\nFw0KRKdrJCfzZColhUew66mpphhPSAiNk5OewN8fXv8fbDZuoQ8YwMuEBL5Pp/GaV69ejbfeegt/\n+tOfJO2ljxCh3g1CQagDQGHhBvzyl9/HY4+9hXHjeux/2GkuvbR9MX7bbW1z1DvaQdZztZ6vNbGx\nnGMGDKAoT0iQaLkgtIvX29o9wy8aWVNejs+3bsWm7dth83rxq+99DwBQcN11KK+rw6xRozB7zBic\nOW4cZk+ciOzMzJ4R3kpRaNfUmEdDgym+9fXAo7GxbRpCe8TGUoBoIRJ4qe2t/H1qtXe2/22PPMJI\nBgAfgNUAngawAkAUgBsBPAtw++6vf20b7dbbkMHWwWAOKoG3BRazBovaBx7t3de/GLa96H9gwWzg\n33Tm7/Rt/tux/tH5jn622007sJgY/qwtwvyvR0fzfxns/6sXhf4iGv12g+DxtO4ImJbGbeXk5B4R\n5UJoIK4vYcyUKXPw9tsHEB3NKNfBg7tRUDC+z56/PTHu7+7in7Jzyy3AggWM6gfujMfEMNihrVjj\n43mE646jIPQY/v7R/vZ1DoeZA6ZzTk9GI30+39c2hA//4x/420cf4auTns2GYeC8mTPxq5Mtfte9\n+CJyMzIQ1VkxrhQFtG4fXF1tXtdC3P+22trWThj+aAum5GTzctCg1j/rIynJ3ELzF2k92c7d7f56\nUrMBOP/kcQiMruedvJuvogK7amsxaeTInnleQfDHv3A60Bs+OpqLZE6OWWwWH98n/uWbN29GdnY2\nhg4d2uvPJfQeElHvgPZOhDXBnK/07UDH91+//l94+OHL8cMfPoQrr7wHUVHG1wGewBTEnkgF1cGf\nVatYUKoNEq6/Hpg/P3hAKTaWa6xed3XnUR3sEoR+g458+zdw0eJbC299PZjI1V9sux0qKgpFlZXY\nun8/Pt+zB5/t3Indhw6hdNUqRNvt+J8//xlbv/wSsydOxOyJEzFj7FikBPqbOhxtBXag2PYX4u1V\niicmtt5qHzCAEb70dPO6rmZPSaHQDrVCPP+iIMMImnf+r7Q0LKmtxaVz5+Lh227DxBEjLBioELYE\n+/77ExVlLpb6e6IXTAsbCs2cORMABbvQd0jqSzfojFDXhebNzeY8b7fzRFgHh2JjW/dq8BfT/rtV\ngf0j/A+969jY6MBPfnI93n77dXzjG1fg/vtfQExMYqsgnP/h83Vs43sqG2C92+u/a6lz2AObKOnd\ny1BbjwWhx9Atef0XXi2+dQGIf0GIzsMN/KL5N27xnxhO4vP5cKikBNu++goXzJ6NtORkPPbXv+Jn\nTz0FAIi22zFl1CjMHjcO9y9ZgjS3u60ADxb19t8W80fnnvmL7Y4EeKjaKwX6nPvnS/vfru+rjw8/\nBH7/+9bNamJjUXfrrfhTbS2e+Ne/UNfUhOsvvBAP/PCHyB0woO1zt2fb2J6tYzAbyI4OITTwb1Li\n30k1WIGx3U7xnZhoHv6LaAhGrg4cOICRI0fi8ccfx1133WX1cPoV/VaoG4YxGMAfwJ1NA8CHAH6i\nlCrq8A/RvlBXimmVes1LTWXRuC6s7u3caqUUHn30UfziF7/ApEmT8Pbbb2PYsGHt3j9Ynw79OjSB\na0comQMIQq/hv+gGnukGppt0VKDoX2zpf9mJs1alFAzDwMFjx/DM66/jiz17sG3/ftQ7HACA9779\nbVyQmoqdR45gY3ExpimFSU4n4mpr28/tjo4OLrYDRbe+Hh9/Ou9i99DvfWA0QrtW6Eug8w2EApvp\nBLN4DLb9aBjAO+9QrB8/zgn9pz9l9zWbDdW1tXjg6afxzN/+htHDh2PHypVmgZ3/pOpfZBms6DJY\nE6XA23Q+uP/7c6r1tjPNiPT74z/J+58IBPs58G/CHf+FMPBzFvj5aw/DMKPeumZC+x8HRq16qti6\nD3nwwQfx61//GkVFRRg8eLDVw+lX9EuhbhhGAoDtAFoA/AqAAvAggAQAk5RSHVYwBQr1lha6qABM\nG8vP5zpo1Q7VypUr8f3vfx/PP/88lixZYs0gBCGU8G+i4y++3e7W9oKdEd7+9nj+l10RLB4PizVq\nauCurMT23bux+/Bh7C4pwa7ycuyurcX/ZGfjWsNAYWUlzmpuxmQA0/yOCQBioqI6FtuBtyUm9o2w\n8j/RCSxG7MgrXQs/f1ETuHWnb+uMn3ofRRYOHPj/7d13fFRV/v/x10kjpBACS68CUlSkGCzLT6Qs\nogKKBbuyFhAsqHx1xbLu4gK2RURYZEVZFbDhrkZAdhFWUFFgKaJoQKRLL0kgpJHk/P64MzAMkxBJ\nuTOZ9/PxuI87uTN35jPJycxnzpzzOT+za9cuLr74YvLy8li6dCmXXHJJhT4mcPI3BIH2pzrm/Rv5\nTkgtaZJpoA9Pv3aV1VN9ZVvSbUpzH97fTWlj8f9A7dvmfCe2xsScXOHI91uwKuycc84hOTmZL7/8\n0u1Qwk64TiYdDLQA2lhrfwYwxnyHUzb3HuCl0txJTo5TnCA21imrW7ducFQkufzyy9m4cSO1PF/D\nfvPNN3Tp0oUo1TCUUOebAPp+zexb4SRQbe+S6lv715qOi/v1S5cXFDjDSHwrm6SnQ0YG9uBBdu7Z\nw8a9e9mYns7Gw4fZmJdHL+BuIBPo4rmbGKBtZCRdY2NpUr06NGvGuRdcQFbNmkTWrn1yEp6YWPFj\nyvx/5/5JdyDGHP8qPy7u+GXv3vcDjv/lEBwj16pVK1p5xqlPnjyZESNGcOuttzJu3Djqns7SyqXl\n38vtBv+xmf71fU+1ee8j0N73MbwCDSHy3xe3+U7U0lfEpbZlyxbWrVvHhAkT3A5FykGo9KgvBGKt\ntV39ji8GsNaW2BVy5pkp9pVXVpCY6CxxX7t28L63bN68mTZt2nDRRRfx7rvv0rBhw1OfJFIWM2c6\ndTi3bXNW7xszBm655eTbBRrP6b3sTbbz8yE11Znct3evUxZv0CBn0Rl/gZLu003+cnOLTby9l4+m\npxPt6RX/8vBhNgM7PNtOoCPwtDHYxEQSDh8m2/PaGGkMzRISGNypEyMvvxxbsyafbNpE23btaNmm\nDVEVP0bu5N+3d/PlO1vdm2D7zgD3jqX17VUMk97FkuTm5jJ27Fiee+45EhISmDhxIjfffLNqTktI\n27t3L7GxsdSoUcPtUMJOuA592Q2kWmvv8Ts+GRhora1T0vlt26bYzz9fQb16wZug+5o+fTpDhw4l\nLi6Of/zjH/Tr18/tkKSq8E6i9CZ+770Hw4c7Xzd5xcbC009D797Frlx5tKCAo4WFFBUVUWQtRcZQ\nBCSvWIEZN47MvDyycGpbF1WrRtF991HUrRstGzcGYOe+fRzMzHTO9dyHATq1bQu5uaxbu5Z9O3dS\nlJVF0eHDFB4+TExeHt3i4yEjgyVbt7L14EGysrI4kp1N1tGj1AQe8MT3B2A5cBA4YAwHgQsSElh0\n4YWQnEzb+fNZ76m/XTMujka1a9P3oot4/v/+DyIjmTlvHnWSk2nZuDFN69cnury/3fJNuH3/HhB4\nTHJMjDOG1pt0ey/7fu3vm3QryfzV0tLSuOuuu/jmm2944oknGDNmjNshiUgICtdEPR94yVo70u/4\naGCktbbEd9GUlBS7YoX7Cx79GuvWrePGG29kzZo1DBkyhClTpqiHR47zXSXQk+TlZWcTaS1RwO7t\n21m1Zg3pBw6QfvAg6ZmZZGZmMuLqq2lYqxaf/u9/TJ4zh+zVq8k+epRsIAdnwZimwMTEREZFRFBQ\nWHjCtnPePOrWqsVTkyczZtq0k8LKrleP6nv28BDg/6VrhDEU/vGPkJnJXZ9+yrQNG064PskYMmJi\nIC+P64FZfuc3BrZXqwY1a3J5Vhb/9puA2b5uXb77wx+gZk1+P2MGGw8coHatWtROSqJWUhLtmjfn\nzquuAuDb9etJiIujYZ06xJVH5RPfMcO+++LG5HoX7vEm3N697xhb3+RbKkVhYSEvvvgiV1xxBeee\ney6FhYWlr1cvEgSWLFnCH//4R6ZOnUrLlsWvgC4VJ1zHqIMzgdRfsZmrMWYIzkrSNG3atKJiqjBt\n27Zl+fLljBo1iqioKCXpVdWphpPk55OflcW2bdvYtn07ZzVqRP2EBNb8/DPPz5rFroMHj22HsrP5\n/Pnn6d6hA58vXszNzz57wkNVr1aNmwcMoGGdOuRUq8buw4eJ8/RENwRiccZcA7Q5fJgbBg4kOiqK\nqIgIogoLiSoooPrGjZCWRh+gRrduROTlEZGbe2yL2roVgOuBs4EI381aeOYZAIZGRHB5QgIRcXHO\nFh9PTEICtG4NSUk8lZvLPcYQkZDgbImJxCYnQ6dOAEzesYOjBQXEV69OQlwc8bGxJ8zpeLNjxxJ/\n7R3btCn57+KbePv+XYqbOBcVdbx6RFLS8bHe/km3d6//56AUGRnJyJHH+4PuvvtukpKSeOGFF4hx\nsR62SGm9/fbbLFu2jHr16rkdipSTUOlR3wN8fLpDX0KxRz2Qzz77jH/+8588++yzJCcnux2OeBVX\nj9e7947d9g4h8RtOYq1lb0YGG3bsoHGdOjSvV4+ffvmFIRMnsnn3bn7Zv58iz+TKmaNGcfPll/PN\n2rXc+sc/0uA3vzm21U1O5ubLLqNF48bsS09n4y+/kJyYSHKNGtRMTCQmKsoZ4pKZeXx74gln7y86\n2iltl5npzMAuaXJnYqKTnNaoARs2BF5cJzkZXnnFuU1SUuVVM/EKNLHSO9Qk0Gugb+LtW7rNu2y6\nb3GbihoAACAASURBVG+3Fh2okoqKihgxYgQTJkzg/PPP5/333y+xfK6I23Jzc2nQoAH9+vVj+vTp\nbocTtsK1R/0HnA46f2cBP57y7IICJ9kI8ZV8Vq5cydSpU/noo4946aWXNOGpvAUaM+ybgOfmHi8P\nmJ9/fPP2tBZXfswzQbLIGHILC4mLjyfTWh559VXStmwhbcsWDnqS5bH33cfjd9xBAlAYEcElKSmc\n0agRZzRsSLMGDZwVFY3hojPPZOPf/+4k0ocOHU+8P/sMMjOpk5lJHe9x3+uLWxrelzHOpNIWLZyk\n2puEJyUdX6XSezwx8cSJiPPmHVvS/ZjYWBgxAtq1K9vfxytQwu0tP1fc8/EfauLf4+0/1jtEXyOk\n/ERERPDyyy/TrVs37rzzTjp16sSbb77JVZ7hUyLBZu7cuWRkZHDbbbe5HYqUo1DpUX8I+CvQ2lq7\nyXOsOU55xpHW2nElnZ9y5pl2xaRJx5Mo7xt2XJyzVa9+PIn3/Yo6CN+sV69ezdChQ1m+fDk9e/Zk\n4sSJnHXWWW6HFRx8FxkJVJ7OWw7Qv3fbe+xUNYB9K5J4kznvsQCWr13L6vXrWb1+Pd/+9BNrN25k\nUL9+/O2xxygoKKBZ//60bNiQdg0a0K5OHdokJdEhKYmGcDyx9k22MzKc/aFDxS8JD0779l323ZtU\nexPuGjVOTLhXroS33nKqtNSrB/fdB5dffvp/B98l3Uu6P/8ygt46zyV98PFNun1LCHqrmgSqaKKh\nJlJGmzZt4vrrr+fnn39m48aN1K5d2+2QRE4yYMAAli9fzvbt2zW3wkXhOpk0HmfBoxyOL3j0FyAR\nZ8GjrJLOT2nd2q54993jB3xrOXvrOQcSFXV8pTJvL5z362/fxRN86wpXQo3XwsJCpk6dysiRIxk3\nbhx33XVXhT5ehfPW8/VN1ryb78/eRDvQ/ujR0q1E57voiv/l0/y7pR86xLdr17L6+++Jys9n+G9/\nC5mZNB09mu2HDpEUHU2npCTOjY2ld7Vq9DPmePLtu9S5v5iYk3u0i0u2fY9X9rLw/h+QfMd3n2qx\nHP8ygr7Jt3/5QCXd4qK8vDzS0tLo2LEj1lpycnKIi4tzOyyRY/72t79hreX+++93O5SwFpaJOoAx\npikwHuiNM4l0IfCQtXbLqc49KVEvreJ6Z0+VfPivzufbU+9dMa241fn8F3UItCS0Z9t/4ADJyclE\nRkYydepUdu3axYgRI0hISPj1z9V34YqStlOtqOf92f/DkP/4bd9l3v3rQQf6nXoFWt3Q91hZ5eef\nOFTE73JRRgYRnl7tUZs28U5mJj/5xH8R8LXn8jdAfaB5VBTGm1QH6ukO1OudlBR6Cbc3yfZWL/Ht\n5S7ug61ICHrppZd4/fXXSU1N5cwzz3Q7HBEJIuE6Rh1r7Tbg2kp90BKGNZTItyc4JweOHDkxkfUd\nS3uqZZlLuO433p+BFR9/zGuffsor48bx8DXXcP+AAST5J+y+9xlopbnihhoUF2dJ/D9wePfenmvv\nBxbvbcpTUZHzOz90yJmb4B0ukpV1/FgxifgJ9cSBX4BlwFLPfr0x7GzenMikJAoSEmgbHc2gBg04\nr0kTOp1xBnUbNjyWbF/kTbxjYyu3F9g34fYdTuL7QSoQ34TbO5bbN/kOlGwr4ZYw1KlTJ/bu3cv5\n55/Phx9+SK9evdwOScJcamoqPXr00AJHVVDI9KiXRUqjRnbFmDHOxLeEBGdf0asJVibP33DZ99/z\nlzfeYO6SJSQlJDBhxAgG9e178u0DLeEcbPLznWTbm2h7k2zf5Pvw4eOb7/GsrJI/WERGnthz7dln\nx8ezMjeXzi1bEl+nDs8vXcrI1FQAYqKj6dy2LReecw7PDB1KYnx85fweAvVue3/2X6bbt3Sgbw+3\n97K3h1sJt0iZbd68mf79+7N+/XreeOMNbr/9drdDkjD1008/0aZNG1544QUeffRRt8MJe2E79KUs\nUoyxJxVnjI4+MXH37v2PeSebeve+l+PinOQnyCadrl63jjHTpjH02mv53QUXsGPvXnbu20eXswMV\nzikH3qEuublOj3Ru7vEtO9tJuP23rKzA12VlOftTVSeJiXH+RjVqnLj3P/bTT/Cf/8DBg85y9vfc\nA1ddBcZwICODuV99xdK1a1m2di1rNmygsLCQha++Ss8uXfh2/Xq+XL2aC845hw6tW1OtLHWU/YeV\n+A8x8edNvH3LBPr2bnuHl/gm2t5kWytTilSKjIwMrr32WhYtWsS6des0DEZc8fTTTzN69Gi2b99O\no0aN3A4n7ClRPw0pTZrYFY8+6vS4ZmU5m29vrLfn1rtlZZU8yc9fbOyJybtvL6a3QoX/3nu97+38\nx137T370H5PtP3Ycjve0+hx/Yt48nl20iC6NGzO4c2eua92a5Kio42PFvZvvz76X8/NPTL4Dbaca\nZ+6rWjXnQ1B8/IlbXFzg476Jt/dyab4R8SkVmI6zpPzSqCh6DBpEt2HDWPHjj3S5/XYS4+M5/+yz\nueDss7no3HO5uFOnk4cN+fKvVuK7ea/35ztx0jfh9q3N7Z90a+KkSNDLz89n8eLF9O7d2+1QJAwV\nFRXRokULWrduzfz5890OR1CiflpOazJpfr6TsOfkOFt2trN5L/se99/7lvzzbt5SgL4lAYur+1zO\nDgFvA5OBNJzVJ68DZuC3tGtk5PFEPyLieA91dPTxBV9K2gLdpnr1E5PvuLgKXxLdWosxhpy+fbl3\nzx6WAus81xlgTEICjy9axNGCAn7avJm2TZoQCSeXCSxpLLd/WUBv0u07adh/WImSbpEqbd68ebz+\n+uvMmDGD6tWrux2OhIGFCxfyu9/9jnfeeYebbrrJ7XCEMJ5MWuliYqBWrYp9DG+vtTeB9yaJ/qUK\nvT24/tcVVxXGOxTHc7yGMdxvDPcBq7ZvZ8aXX1JoLebBByE6mvtefpn2R4/Sd/58mni/SSgqcuJ6\n5JGy1dSuYEdycvhuwwZWpaWxet06Vq1fT4eWLfnHH/5A7J49rALOBG4DLgRSgBpHjsC+fUQDZ//m\nN87vMybm+FAm36ElgXq6NZZbRAL45Zdf+Oijj+jbty+pqakkJia6HZJUcf/973+pWbMmAwYMcDsU\nqSDqUQ9zh7Ky6HjLLWzesQOANsD/A+4AugLUrw9z5lROMIGqlXgu5+XksGHHDtK2b+dwdjZ39ukD\nQOf772f1xo0A1K5Rg85t2nBFt248NGgQXHYZ7Nx58uM0aQI//6wVKEWk3M2cOZNBgwbRuXNn5s2b\np8WRpMLt3r2b+vXrux2GeGjoy2lQol4yay1pXbowF/gC+AqnYP3vgR+Aezt35txWrWjfqhVtmjWj\nWYMGNK5blyjvEBbfOuqBvgE4VVlATwwHDh9ma3o6OzMy6N+zJ8TEMHraNN5KTWXT9u0UeYYK1a5V\ni/1btkBkJB/PnYuJiqJzSgqNGzfG+A4vmTkThgxxhiN5xcXBa6/BLbeU569QROSY2bNnM3DgQFq1\nasVXX31FzZo13Q5JqiDvME8JLhr6cjqshX37Sr6Nf3k7OHFIifd4SZvvbfwvB7rOd3+6z8u7973s\ne8z/ugATT421nFW3Lmft3cujQBHgrbmSlZzM0Zwc3pw9myyfGuMLxo6lV+fOfLZyJeM//pjaSUnU\nSkoiMSGBmGrVGHbDDdSpV4//paWxYNky8goLyS8oIO/oUXLy8njhL38hISmJ8ZMn89LEiezfv5/c\n3Nxj93/kyBHi4uJIbNGCTuefz0233067du1o164drVu3dhJuYMDAgcX/frzJ+JNPwrZt0LSpM7lU\nSbqIVKD+/fszb948Zs+eTVJSktvhSBXVvXt3evTowZ///Ge3Q5EKFB496p072xWLFhW/yqb/5t8b\n7LsiaaBe4pKOFbe6J5ycXEPxix35Hw/04cH7wQICr3bqW7rPe9lbQWbuXCeh9V3wp3p1GD8err+e\nImDrL7+wcetWtmzbxlVXXUWdevVInT2bv4wZw4EDBzhw4ADZ2dkUFhaybt062rRpw/jx4xkxYgQA\nUVFRVKtWjdjYWFatWkXTpk3517/+xZw5c6hduzaNGzemWbNmNG3alHPPPfd4j72ISAjb6Bme17Jl\nS5cjkariu+++o0OHDkyYMIHhw4e7HY740NCX05CSkmJXrDipknpw+TV/h4r6qmvmzHLpfS4sLCQi\nIgJjDPn5+RQVFRETE0OExoOLSJix1nLeeeexb98+Fi1apGRdysXDDz/M5MmT2blzp+ZBBBkl6qch\nJBJ1ERGpktasWUPPnj2Jj49n0aJFtGjRwu2QJITl5+fTqFEjevTowQcffOB2OOKnvBN1dXGKiIhU\noA4dOrBw4UKOHDlCjx492Lx5s9shSQibM2cO+/fv584773Q7FKkEStRFREQqWMeOHVmwYAGHDx9m\n5MiRbocjIaxDhw48/fTTWg03TGjoi4iISCX5/vvvadq0qarBiFRRGvoiIiISotq3b09SUhJHjhzh\nnnvuYc+ePW6HJCHk/fffZ+HChW6HIZVIibqIiEglW7duHdOnT6dPnz5kZGS4HY6EgKNHj/Lggw/y\n8ssvux2KVCIl6iIiIpXsvPPO46OPPuLHH3+kb9++HDlyxO2QJMilpqayZ88ehg4d6nYoUomUqIuI\niLigT58+vPvuuyxdupSrr76avLw8t0OSIDZlyhSaNm3KZZdd5nYoUomUqIuIiLjk2muvZdq0aaxd\nu5bt27e7HY4EqQ0bNrBw4UKGDBlCZGSk2+FIJVKiLiIi4qJBgwaxfv16WrVqBTirmYr42rRpE02b\nNlXt9DAU5XYAIiIi4S4xMRFrLY899hjR0dGMGTPG7ZAkiPTp04fNmzcTEaH+1XCjv7iIiEiQyMjI\nYOzYsfztb39zOxQJEjt27KCgoEBJephSj7qIiEgQMMYwefJk9uzZwwMPPEC9evW47rrr3A5LXHb9\n9dcTExPD559/7nYo4gJ9PBMREQkSUVFRvPvuu1x44YXceuutfPHFF26HJC5auXIlX3/9NVdddZXb\noYhLlKiLiIgEkbi4OGbPnk3btm3Zu3ev2+GIiyZMmEBCQgJ33HGH26GISzT0RUREJMjUrl2blStX\nHivFV1BQQFSU3rLDye7du3nvvfcYOnQoSUlJbocjLlGPuoiISBDyJunvv/8+KSkppKenuxyRVKaZ\nM2dSUFDAAw884HYo4iIl6iIiIkGsXr16pKWlcc0115Cfn+92OFJJHn74YZYuXcqZZ57pdijiIiXq\nIiIiQax79+5MmzaNRYsWcffdd2tBpDARERHB+eef73YY4jIl6iIiIkHulltu4ZlnnmH69OmMGjXK\n7XCkAllr6d27N5MmTXI7FAkCStRFRERCwFNPPcXvf/978vPz1atehX311VcsWLCA6Ohot0ORIKAp\n5CIiIiHAGMMbb7xxbIXKwsLCYxNOpeqYMGECycnJ3HbbbW6HIkFAPeoiIiIhwpukr1q1inPOOYd1\n69a5HJGUpw0bNvCvf/2LIUOGEBcX53Y4EgSUqIuIiISYWrVqkZ6ezhVXXKFFkaqQv/71r8TExPDg\ngw+6HYoECSXqIiIiIaZ58+bMnj2b3bt3c+WVV5KTk+N2SFIO7r77biZOnEiDBg3cDkWChBJ1ERGR\nENSlSxfeeecdli9fzm233UZRUZHbIUkZdenShcGDB7sdhgQRJeoiIiIhasCAAYwbN468vDzy8vLc\nDkdOU2ZmJsOGDWPz5s1uhyJBRom6iIhICHvooYdITU2levXq6lUPUVOmTGHKlCmkp6e7HYoEGSXq\nIiIiIcwYQ0REBHv27OHCCy/k008/dTsk+RVyc3MZP348l156KZ07d3Y7HAkyStRFRESqgPj4eAoK\nCrjhhhtYs2aN2+FIKb311lvs2bOHkSNHuh2KBCETDqubpaSk2BUrVrgdhoiISIXauXMnF1xwAdZa\nli1bRqNGjdwOSUpw9OhR2rZtS+3atVm2bBnGGLdDkjIyxqy01qaU1/2pR11ERKSKaNiwIXPmzCEz\nM5N+/fpx+PBht0OSEuTk5HD55Zfz5z//WUm6BKREXUREpArp0KEDs2bNorCwkIyMDLfDkRLUqFGD\nSZMmccUVV7gdigQpJeoiIiJVzGWXXcbq1atp0qQJ1lrCYZhrqJk7dy5ffvml22FIkFOiLiIiUgVF\nRkaSl5fHTTfdxIQJE9wOR3zk5eUxbNgwHnvsMX2IkhIpURcREamioqOjKSgoYMSIEXz88cduhyMe\nr7/+Otu3b+eZZ57R2HQpkaq+iIiIVGHZ2dn06NGD77//nsWLF9OlSxe3QwprOTk5tGrVipYtW7J4\n8WIl6lWMqr6IiIhIqcXFxfHJJ59Qr149+vfvz5YtW9wOKay99tpr7Ny5U73pUipK1EVERKq4evXq\nMXfuXOLi4ti5c6fb4YS1uLg4rrnmGrp37+52KBICNPRFREQkTBw9epTo6GgArLXq0RUpZxr6IiIi\nIqfFm6Q/++yzDB48WBVHKtHOnTuZPn06RUVFbociIUSJuoiISJjJycnhjTfe4LnnnnM7lLDxpz/9\nibvuuott27a5HYqEkCi3AxAREZHKNWrUKDZu3MgTTzzBGWecwY033uh2SFXaDz/8wLRp0xg+fDjN\nmzd3OxwJIUrURUREwowxhmnTprFt2zYGDRpE/fr1NbmxglhrGTFiBImJiTz11FNuhyMhRkNfRERE\nwlC1atX4+OOPad26NZs3b3Y7nCorNTWV+fPnM2rUKGrXru12OBJi1KMuIiISpmrXrs3KlSuJiYkB\noKioiIgI9eGVp/j4ePr168e9997rdigSgvTfKCIiEsa8Sfq8efM477zz2Ldvn8sRVS29e/dm9uzZ\nxyruiPwaStRFRESEpKQk1q1bR9++fcnKynI7nJC3detWnnnmGXJyctwORUKYEnURERHht7/9LR98\n8AGrVq3i2muvJT8/3+2QQpa1lvvuu4/nn3+evXv3uh2OhDAl6iIiIgJA//79ee2115g/fz533nmn\nFuc5TbNmzWLu3LmMHj2aZs2auR2OhDBNJhUREZFj7rzzTnbv3s327du1culpSE9PZ/jw4aSkpDB8\n+HC3w5EQp0RdRERETvD4448DTr31jIwMatas6XJEoePxxx9n//79zJs3j8jISLfDkRCnoS8iIiJy\nAmMMxhh27drFueeey9ixY90OKWTcd999vPLKK3Tq1MntUKQKUI+6iIiIBFS3bl0uueQSnnzySeLi\n4njooYfcDiloFRQUEBUVRfv27Wnfvr3b4UgVoURdREREAoqMjOQf//gHubm5PPzww8TGxjJ06FC3\nwwpKgwYNonr16kydOhVjjNvhSBWhoS8iIiJSrKioKGbOnEm/fv0YNmwYqampbocUdD744APeeecd\nmjVrpiRdylVIJOrGmC3GGBtgG+B2bCIiIlVdTEwMs2bN4pFHHqF79+5uhxNUNm3axODBg7nggguO\nTcIVKS8hkah7/Ae4yG9b7GpEIiIiYSI2NpYXX3yRpKQksrOz+eSTT9wOyXV5eXnccMMNRERE8N57\n7xEVpRHFUr5CKVHfb61d6relux2UiIhIuHnhhRe46qqrmDRpktuhuOrHH3/k559/5s0336R58+Zu\nhyNVkD76iYiIyK/y+OOP8+233/LAAw+Qm5vLI4884nZIrujUqRObNm0iOTnZ7VCkigqlHvX+xphs\nY0yeMWapxqeLiIi4o1q1asyaNYuBAwfy6KOP8uSTT4bVKqYrVqxg/PjxWGuVpEuFCpVEfTbwANAH\nuAXIBT4yxtzqalQiIiJhKjo6mnfeeYfBgwczdepUdu/e7XZIlWLXrl0MGDCAl19+mUOHDrkdjlRx\nprI/ARtjfgd8VoqbLrbWdi/mPiKBpUB9a22TYm4zBBgC0LRp0/O2bt16egGLiIhIsay17Nixg8aN\nG2OtJS8vj9jYWLfDqhBHjhyhZ8+e/PDDDyxZsoQOHTq4HZIEGWPMSmttSnndnxs96l8D7Uqx3V7c\nHVhrC4FZQGNjTINibvOatTbFWptSp06d8n0GIiIiAoAxhsaNGwPw1FNP0b17d/bu3etyVOXv6NGj\nXHfddaxYsYIZM2YoSZdKUemJurU221q7rhTbtlPclXdFgfAZFCciIhLEUlJSWLNmDV26dOHbb791\nO5xy9cUXXzB//nymTJnCgAGaJieVI1TGqJ/AGBMFDAS2WWvDY1CciIhIkLv66qv56quvKCoqomvX\nrsyaNcvtkMpNr169SEtLY/DgwW6HImEk6BN1Y8xNxpj3jDG3G2N6GGNuBD4HzgMeczk8ERER8XHe\neefxv//9j44dO3Lrrbfyyy+/uB3SaSssLOTee+/l008/BaB169YuRyThJhTqqG8G6gIvArWAbOB/\nwGXW2v+4GZiIiIicrH79+vz3v/9l2bJlx8avHzp0iBo1argcWekVFBRwxx13MGPGDOrXr88VV1zh\ndkgShoK+R92zAmlPa209a220tTbJWvs7JekiIiLBq1q1anTr1g2ADz/8kFatWh3rmQ52hw4d4sor\nr2TGjBmMHj2ap59+2u2QJEwFfaIuIiIioe3ss8+mYcOG9O3bl4cffpicnBy3QypWZmYmXbt25bPP\nPuPvf/87Tz75pNshSRhToi4iIiIVql27dixdupThw4fz8ssv06FDB7788ku3wwqoRo0aXHrppfz7\n3/9myJAhbocjYU6JuoiIiFS42NhYJkyYwIIFCygsLGT79u1uh3RMfn4+jz32GN9//z3GGMaNG0ev\nXr3cDkskJCaTioiISBXRq1cv1q5de2z10kmTJpGXl8cDDzxATExMpcfz9ddfM2zYML777juSk5Np\n3759pccgUhz1qIuIiEilql69OsY46xYuWbKERx55hFatWvHqq6+Sl5dXKTHs3r2bu+66i65du3Lw\n4EFSU1MZOXJkpTy2SGkpURcRERHXvPvuu8yfP5/GjRtz77330rJlS1JTUyv8cd966y3efvttHn30\nUdLS0rjyyisr/DFFfi0l6iIiIuKq3r17s2TJEhYsWEC7du2oVasWAGlpaXzwwQdkZWWV6f4LCgr4\n9NNPGThwINOnTwfg3nvvJS0tjRdeeIGEhIQyPweRiqAx6iIiIuI6Ywy9evU6YRLnjBkzGDt2LLGx\nsXTr1o2LL76Yrl270r1792NDZ0ry9ttvM2fOHBYuXMjBgwepU6cOPXv2BCAxMZHExMQKez4i5cFY\na92OocKlpKTYFStWuB2GiIiI/AqFhYUsWbKEf/7zn3z++eesXbuWmjVrcvDgQQAefPBBli5dSnx8\nPAUFBWRmZtKiRQs++ugjALp06cKuXbvo3bs3V155JX379nVlwqqED2PMSmttSnndn3rURUREJChF\nRkbSrVu3Yyucpqens379+mPX16pVi5o1a3LkyBGioqJo3rw5jRo1Onb93LlzqVOnTql630WCkXrU\nRURERETKQXn3qGsyqYiIiIhIEFKiLiIiIiIShJSoi4iIiIgEISXqIiIiIiJBSIm6iIiIiEgQUqIu\nIiIiIhKElKiLiIiIiAQhJeoiIiIiIkFIibqIiIiISBBSoi4iIiIiEoSUqIuIiIiIBCEl6iIiIiIi\nQUiJuoiIiIhIEFKiLiIiIiIShJSoi4iIiIgEISXqIiIiIiJBSIm6iIiIiEgQUqIuIiIiIhKEjLXW\n7RgqnDHmMLDe7Tgk6PwG2O92EBJ01C7En9qEBKJ2IYG0sdYmltedRZXXHQW59dbaFLeDkOBijFmh\ndiH+1C7En9qEBKJ2IYEYY1aU5/1p6IuIiIiISBBSoi4iIiIiEoTCJVF/ze0AJCipXUggahfiT21C\nAlG7kEDKtV2ExWRSEREREZFQEy496iIiIiIiISVkE3VjTBNjzIfGmExjzCFjzL+MMU1LeW6sMeZF\nY8wuY0yOMeYbY0y3io5ZKt7ptgtjTIox5jVjzDpjTLYxZpsxZqYx5ozKiFsqVlleL/zu53FjjDXG\nfFURcUrlKmu7MMa0M8bMMsbs97yXrDfGPFiRMUvFK2N+0dQY85bnPSTbGPOTMWa0MSa+ouOWimOM\naWyMmejJF7M97wPNS3luhOe9Y4sxJtcYs8YYc21pHzskE3VjTBzwX6AtMAi4DTgT+LyU/wxvAIOB\np4F+wC7gP8aYjhUTsVSGMraLG4GzgVeAy4GRQGdghTGmSYUFLRWuHF4vvPfTAngS2FsRcUrlKmu7\nMMakAMuAasDdwBXAOCCyomKWileWduG5fgHQDfgj0Bd4Hfg/YFoFhi0VrxVwPZAOfPkrz/0L8Gdg\nEk5+sRSYZYy5olRnW2tDbgMeBAqBVj7HzgAKgBGnOLcDYIE7fI5F4SyI9Inbz02ba+2iToBjzYAi\n4Bm3n5s2d9qF3/38B/g7sAj4yu3npc29doHTyfUD8JHbz0NbULWLSz35xaV+x5/znB/n9vPTdtrt\nIsLn8t2ev3PzUpxXF8gDRvkdXwh8V5rHDskedeBKYKm19mfvAWvtZmAJcFUpzj0KvO9zbgHwHtDH\nGFOt/MOVSnLa7cJauy/Asa3APqBROccplassrxcAGGNuxvmG5fEKiVDcUJZ20R04C3ipwqITt5Sl\nXcR49of8jmfgfLgz5RWkVC5rbdFpntoHp13M8Ds+A2hfmuG1oZqonw2sDXD8B5wXz1Odu9lamx3g\n3BicrzckNJWlXZzEGNMO59NwWhnjEneVqV0YY5KB8cAfrLUHyzk2cU9Z2sX/8+xjjTFLjTFHjTF7\njTGvGGOql2uUUtnK0i4WABuA540xZxljEowxPXF66adYa4+Ub6gSAs7G6VH/2e/4D579Kd+DQjVR\nr4UzTsjfQSC5DOd6r5fQVJZ2cQJjTBQwBadH/Y2yhyYuKmu7eBH4CXizHGMS95WlXTT07N8H5gO9\ngRdwvhJ/p7wCFFecdruw1ubifIjzDo06jDPEYQ5wf/mGKSGiFpBhPeNdfJQ654wq95AqT6ACbNwH\nzAAABMlJREFU8KX5WsmU4VwJfuX1t50E/Bboa60N9KItoeW02oUx5mLgdqBzgBdaCX2n+3rh7eSa\nYa192nN5kTEmEnjOGHOWtfbHcolQ3HC6rxexOB/e6uJMQt0GnI9TuKIAGFaOMUpoKHPOGaqJejqB\nP4UkE/iTsK+DQKAyS8k+10toKku7OMYY8ywwBBhkrZ1fTrGJe8rSLv6O843KL8aYmp5jUUCk5+cc\na21euUUqlaks7eKAZ/+Z3/H5OBMHOwJK1ENTWdrFXTjzF1pZazd6jn1hjMkEXjPGTLHWrim3SCUU\nHASSjTHGr7On1DlnqA59+QFn3I+/szj1i+MPwBmeEkz+5+Zz8jgiCR1laRcAGGOexCnN+KC1dno5\nxibuKUu7aAcMxXmD9m5dgQs9l9VDFrrK+j4CJ/eUeXvJTnfimbivLO2iPZDuk6R7Lffs25UxNgk9\nP+CUcG3pd9w7Nv2UuUmoJuqfABd66hoD4Ck839Vz3anOjQYG+pwbBdwAzFfvWEgrS7vAGDMcGA08\naa2dWEExSuUrS7voEWBbgzPZrAfwYfmHK5WkLO1iHs4Escv8jvfx7FeUT4jigrK0i904vaf+RSku\n8Ox3lFOMEjr+jdMJfIvf8VuBtZ6KQiVzuzbladazjMfp+f4ep1zSlThvnpuABJ/bNcMZF/a03/nv\n4fSG3Q30wnmzzcUZh+r689NW+e0CZ8GjIpw34Av9trPcfm7a3GkXxdzfIlRHPeS3cngf+ZPn+Fjg\ndzjfxOUAb7r93LS50y6A5jilGX/CWSypB/Co59gKfGpxawu9DbjOs72K823aMM/Pl/jcpgB4w++8\n5zw55gicoVGvevKN/qV53JAco26tPeIpeTQemI7zdeNC4CFrbZbPTQ3OKnH+3xzcAYzB6T2tifNP\neJm1dlVFxy4Vp4zt4jLP8cs4uZdsMc4/l4Sgcni9kCqoHNrFMzhVPe4FHsFZ4fpFnFUIJUSVpV1Y\na7cYYy7EWYVyNPAbYDvwGjDGnn4tbgkOs/x+nuzZ++YIkZy8OvGTQBZOmc76OAtsXm+tnV2aBzWe\nbF9ERERERIKIeo5ERERERIKQEnURERERkSCkRF1EREREJAgpURcRERERCUJK1EVEREREgpASdRER\nERGRIKREXUREREQkCClRFxEREREJQkrURURERESCkBJ1ERHBGBNvjFlnjFlujIn2OX6pMabIGHOf\nm/GJiIQjY611OwYREQkCxphOwFJgvLV2pDGmLvAdsNxae6W70YmIhB8l6iIicowx5mFgHHAp8AjQ\nHuhgrd3vamAiImFIibqIiBxjjDHAXKAnEAP0ttYudDcqEZHwpDHqIiJyjHV6b6YD1YA1StJFRNyj\nRF1ERI4xxtQHXgZWAR2MMQ+6HJKISNhSoi4iIsCxYS9vAflAb5yE/XljzLmuBiYiEqY0Rl1ERAAw\nxvwf8ALQ01q72BgTg1MFphqQYq3NcTVAEZEwox51ERHxlmYcCzxrrV0MYK3NB24CmgMvuRediEh4\nUo+6iIiIiEgQUo+6iIiIiEgQUqIuIiIiIhKElKiLiIiIiAQhJeoiIiIiIkFIibqIiIiISBBSoi4i\nIiIiEoSUqIuIiIiIBCEl6iIiIiIiQUiJuoiIiIhIEPr/Jud6r3dx45IAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_plot_low = np.concatenate([np.atleast_2d(x_plot), np.zeros((x_plot.shape[0], 1))], axis=1)\n", "x_plot_high = np.concatenate([np.atleast_2d(x_plot), np.ones((x_plot.shape[0], 1))], axis=1)\n", "\n", "def plot_model(x_low, y_low, x_high, y_high):\n", " mean_low, var_low = model.predict(x_plot_low)\n", " mean_high, var_high = model.predict(x_plot_high)\n", "\n", " plt.figure(figsize=FIG_SIZE)\n", " def plot_with_error_bars(x, mean, var, color):\n", " plt.plot(x, mean, color=color)\n", " plt.fill_between(x.flatten(), mean.flatten() - 1.96*var.flatten(), mean.flatten() + 1.96*var.flatten(), \n", " alpha=0.2, color=color)\n", "\n", " plot_with_error_bars(x_plot_high[:, 0], mean_low, var_low, 'b')\n", " plot_with_error_bars(x_plot_high[:, 0], mean_high, var_high, 'r')\n", " plt.plot(x_plot, forrester_fcn_high(x_plot), 'k--')\n", " plt.scatter(x_low, y_low, color='b')\n", " plt.scatter(x_high, y_high, color='r')\n", " plt.legend(['Low fidelity model', 'High fidelity model', 'True high fidelity'])\n", " plt.title('Low and High Fidelity Models')\n", " plt.xlim(0, 1)\n", " plt.xlabel('x')\n", " plt.ylabel('y');\n", " plt.show()\n", " \n", "plot_model(x_low, y_low, x_high, y_high)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define Acquisition Function\n", "\n", "As in [1] & [2] we shall use the entropy search acquisition function, scaled by the cost of evaluating either the high or low fidelity function." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from emukit.bayesian_optimization.acquisitions.entropy_search import MultiInformationSourceEntropySearch\n", "from emukit.core.acquisition import Acquisition\n", "\n", "# Define cost of different fidelities as acquisition function\n", "class Cost(Acquisition):\n", " def __init__(self, costs):\n", " self.costs = costs\n", "\n", " def evaluate(self, x):\n", " fidelity_index = x[:, -1].astype(int)\n", " x_cost = np.array([self.costs[i] for i in fidelity_index])\n", " return x_cost[:, None]\n", " \n", " @property\n", " def has_gradients(self):\n", " return True\n", " \n", " def evaluate_with_gradients(self, x):\n", " return self.evalute(x), np.zeros(x.shape)\n", "\n", "cost_acquisition = Cost([low_fidelity_cost, high_fidelity_cost])\n", "acquisition = MultiInformationSourceEntropySearch(model, parameter_space) / cost_acquisition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create OuterLoop" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from emukit.core.loop import FixedIntervalUpdater, OuterLoop, SequentialPointCalculator\n", "from emukit.core.loop.loop_state import create_loop_state\n", "from emukit.core.optimization.multi_source_acquisition_optimizer import MultiSourceAcquisitionOptimizer\n", "from emukit.core.optimization import GradientAcquisitionOptimizer\n", "\n", "initial_loop_state = create_loop_state(x_array, y_array)\n", "acquisition_optimizer = MultiSourceAcquisitionOptimizer(GradientAcquisitionOptimizer(parameter_space), parameter_space)\n", "candidate_point_calculator = SequentialPointCalculator(acquisition, acquisition_optimizer)\n", "model_updater = FixedIntervalUpdater(model)\n", "loop = OuterLoop(candidate_point_calculator, model_updater, initial_loop_state)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Add Plotting of Acquisition Function\n", "\n", "To see how the acquisition function evolves. This is done by using the `iteration_end_event` on the `OuterLoop`. This is a list of functions where each function should have the signature: `function(loop, loop_state)`. All functions in the list are called after each iteration of the optimization loop." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_acquisition(loop, loop_state):\n", " colours = ['b', 'r']\n", " plt.plot(x_plot_low[:, 0], loop.candidate_point_calculator.acquisition.evaluate(x_plot_low), 'b')\n", " plt.plot(x_plot_high[:, 0], loop.candidate_point_calculator.acquisition.evaluate(x_plot_high), 'r')\n", " \n", " previous_x_collected = loop_state.X[[-1], :]\n", " fidelity_idx = int(previous_x_collected[0, -1])\n", " plt.scatter(previous_x_collected[0, 0], \n", " loop.candidate_point_calculator.acquisition.evaluate(previous_x_collected), \n", " color=colours[fidelity_idx])\n", " plt.legend(['Low fidelity', 'High fidelity'], fontsize=12)\n", " plt.title('Acquisition Function at Iteration ' + str(loop_state.iteration))\n", " plt.xlabel('x')\n", " plt.xlim(0, 1)\n", " plt.ylabel('Acquisition Value')\n", " plt.tight_layout()\n", " plt.show()\n", " \n", "loop.iteration_end_event.append(plot_acquisition)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Find Esimated Minimum at Every Iteration\n", "On each iteration of the optimization loop, find the minimum value of the high fidelity model." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x_search = np.stack([np.linspace(0, 1, 1000), np.ones(1000)], axis=1)\n", "\n", "model_min_mean = []\n", "model_min_loc = []\n", "def calculate_metrics(loop, loop_state):\n", " mean, var = loop.model_updaters[0].model.predict(x_search)\n", " model_min_mean.append(np.min(mean))\n", " model_min_loc.append(x_search[np.argmin(mean), 0])\n", "\n", "# subscribe to event\n", "loop.iteration_end_event.append(calculate_metrics)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run Optimization" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAELCAYAAAAY3LtyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzt3Xd8FHX6wPHPk55QQocAoYkioMJx\nWJD7AaKIgoKKp2cFu9fU8zw9O2K7s91ZTk/Fs+Gd/cQuNrCcqKigooAivUlHkhBSnt8f39lks+xu\nJpvdbMI+79drspup39mdnWe+M98iqooxxhgTi7RkJ8AYY0zTZUHEGGNMzCyIGGOMiZkFEWOMMTGz\nIGKMMSZmFkSMMcbEzIJIEycik0RERWRSDMv28JZ9pCG2Z2onIhne5/tWstNiYiMiZ3vf4anJTktD\nsCASQkRe8Q6Ar5OdlmQRkaUisjTZ6ahNUBCMNGxJdhrDEZEbvPT9ItlpiScR6e3t19Q6Lhc46f4u\nZPxKEfk+vqmMj8actlAicrqIPCAin4nITu+zPipe68+I14p2ByJSAIwGFOgvIvur6qdJTlZt/gvM\nBtbEsOwqoC+wtYG2lygLgSfDjN/R0AmpL1UtF5G+QFGy02Ji9gzwAbA62Qnx3AR0AdYD64Cu8Vy5\nBZGaJgLpwO3AH4EzgUYdRFR1K3ULAsHLlgELGmp7CbRAVScnOxHxoqp1+k5M49IIfyNn4H4jK0Tk\nBuDKuK5dVW3wBtwJdQuQg7u63QzkRJl/JPASLsKXAsuAJ4B9Q+YbCLwBbPfW+SzQDZjpvoIa8z6C\nywn1CLO9XaYBk7xxk0LmPQx4E1iLuyJf6aVhXNA8PbxlHwn5P9wwKdr2vGln4YJuEbANeA8YH2a+\nyd46RgCnAPOC0ngDkO7z+wqk9wUf857tzXuqn2lAb2/cVGAv4EXciWEbMB3oGWE7g4GncTm1Um+f\nngcO9qZ/EOHzfcubnhH8f5jj6Hlgg7fuRcAUIC9kvpjSHmF/DvWOu0VAsbeOD4BfRvgMww1dfX43\nvwtJf7gh+DtKA84HPsH9trYDH0Y45qZ5y/cALvf2ZydwlTd9b9zF4zzcb7QEmA9cAWSG+Wwjpi3S\nsQYIcC4wJ+iznAUcHSa9N3jr+AVwGvAl7jeyHLgOSIvxHBdY71GxLB9usJyIR0SGAn2Ah1R1h4hM\nw/1AjwP+HWb+i3EH3TbcLZ41QCEusHwKfOXNtx/wPpCLy+YuxZ08P8AdrInYl6NwJ461uJPGJqAT\ncCAwzpsWzhbcAXqR9//fg6bNrWWbdwO/wwXS+4Es4JfACyLyR1W9I8xivwdGeWl810vblbgT6Z+j\n7mTD6YW7ffc58CAwAJfO/iKyj6pW3TITkZOBR4Fy4AVgCdAZGIY7jv4H/AuoBP4PeBh3UgD4IVoi\nRGQ48Boup/wU7lbJIcDVwCgRGaGqpbGmPYrLccf1bG+bbb11PC0iv1fVe7z5Pgfuxn2nX1DzGNvm\nYzvBNuGOw4txn+VdQdO+BBCRNFywngB8jQt0acBY3DEXnLZg9wGDgFdwx91Sb/zxwOm44/BNIBv3\nO73Rm/94v2mL4l5c0FsK/NPbxgnAiyJyoareFWaZP+AuCKcD7wDHANfgjoOratlew4hXNGrqA+6q\nTYHh3v89cT/2N8PMOxCowDtJhEzLADoG/f+et97jQuZ71BuvIeMfoZ45EdzVainQPsw62ga970FQ\nTiRo/FJgaYTPKdz2hnvj5gHNg8Z3wj13KQN6BY2f7M2/CegdNL4NsBH4Ccjy8Z0F0r/AW2fosHfQ\nvLHmRBS4MGT+x73xvwwa1wV3dbkR6BMyvwQfJwRdZYZJyy45EdwJY4l3zP0iZL2BY+KKWNNey2e8\nS64FaI67SNoM5IbZ7tQ6/vZq5ESCxq8Evo+wzG+9Ze4k6KrcS9sc3FV7p6DxgZzI4uDxId9fZsg4\nwQV6BQ6qQ9rCHU+HeuM+B5oFje+MuwDdCXQPc4xsoOZvp533uW8BMuryOYesN245ESudBYhIM9wV\nwXLcSR9VXYK7chwpIt1CFjkPd9VzuarWeHimquWqus5bb3fcFeenqvp8yDquxp0UEqXMG2pQ1Y0J\n2NZE7/VqVd0etK21wK24E+MpYZa7S1W/D5p/E+4KtjkuV+hXH+DaMMPedVhHJN9R82oT3Ikb3K2r\ngEm43ObNqroweGZ16vOQdTguYD6nqh8Erxd3u2Un1d9BLGmPyPsdhI7bjgtGrYCf+1lPAvwWd4K9\nRFUrQ9J2A+4q/5gwy93iHZc1qOoqdc8Ig8cpLucCLjdQH4Hv5ypVrSo04R0XtwOZwMlhlvu7qv4Q\nNP8G4GUgH9iznmmKC7ud5RwPtADu8Q6cgMeBobgTxJSg8ft7rzNqWe9+3uv7oRNUdbmILMfleOLt\nKeBY4GsReRL37OUDVU1UkdeB3uvMMNNmhswT7Isw41Z5r63qsP3pqhruhBEP80KOCQifRr/HRCwi\nfr6qulpEvsPdospV1ZKgyX7THpGI5AOX4W5h9cIFymAFftYTTyLSEleqcAlwpYiEztLRew13ETEn\nwjrTcM8rTgP6Ay1xOZGA+u5n4DucFWbazJB5gsXrN5IwFkScM7zXaSHjn8ZdyU0SkeuDfpD5QKl3\n5RxNvvf6Y4Tp60hAEFHVp0SkHHff9g+4kmblIvIScJGqLo+6grprCexQ1XD3vtcGzRMqXAmWcu81\nPR4JiwO/aQx814ko1hn47NZFmL6W6hNfcBCp1+crItm4nPl+uJPvv3C3UipwzwmOxl3xN7TW3mtP\nXI4zkmZhxkX6Ld6HCyJLgedwn/VO3C3W31P//WwJbA/OhQRp0r+RlA8iIrIH7sEnwPwwVzXgDtYR\nuIdu4O5H9haRNrUEksAB0CHC9I5hxgWy5uEOkHAHWViq+hzwnIi0xt1SOwn4FdBLRH4W5gq1PrYB\ne4hIyzCBpGPQPMkUl881ikAurzPuNks8BT67cMdL8Ph4f8bH4QLIvar62+AJInIlLogkQ2A/Z6nq\niDouu8txLyKdgXNwzyuGas3CEkNxQaS+tgHdRSRPVYtDpjWW30hM7JmIu1UluADxUJhhujffGUHL\nBOqOHF7LugOlNXapmew9Zwl91gLVJ6MuIfOn4UrX1ImqblbVF1X1JOBtbx3hthusgrpd5QRKbg0L\nM214yDzJEvZz9fwsDuv3e0xA9bMwv59xxM/XqyC7F7Ao5FZWPOzhvb4UZtrQMOPqul+1CXscqupm\n4HtgXxHJi8N2euHOAW/qriXWwu1nxLRF0RR+IzFJ6SDinZgn4g6IU1T17NAB98B9IzDBuxcL8ADu\nyvYm70ccvM4MEekAoKrLcM9DDhCR40I2fz3hD8LPvNfTQ8ZfgDvY/ezXSO9WRI104bLmUHtN7k1A\nu9B1RPGY93pd8I/a+xwuxWW/dykm3cACn+uJIpIVGCkiQ3A5tPp6FHcr6XIRqVEoQJzg4ySQew0X\n0MKZhSs6fbyIHBgy7UZccerHdlmq/gK3PWucSEXkBODIMPPXdb9qswloLyKZYabdjTue7wl3nIrI\nPiLSzud2Avt5sATdihCRvXHPg+qatnAC388UEal6riQinYBLcIVg/uNzXY1Kqt/OOgxXBv4VVQ3b\njIeq7hSRJ3An8ROBB1V1rohcCtwGLBCR53HF9Dp767yN6joWv8fVCXlaRILriXTB5VT2o6b/4k4Y\nZ4lIV1xRyp/hHrrNovqqJZo7gK4iMtPbXrqXrn2AaYHSY1G8iyu9M11EPsQd4K+o6lfhZlbVmSJy\nH/Br3MP8/+JObCfgbuVdqqqLfaQ7YVR1mYi8gCux86mIvIn77sfhSrvU68G8qq4SkbNxJ4u53mew\nBFfMeRguR3uJN/tM7/VmEemPK9K8VFXDNd2CqlaIyJnAq8BMEXkKd7wdgqv78wnumIu36biirFd6\n9Z0WAvvicluBzzI4nVtF5AtcicYHcXVfFPiHqv4Uw/bfxR33L3rHYTnwkqrOB+4BDsbdIRgpIu/i\nnmN0xv2mBuAKO9R6a9Er5PIS7vbcx97vpgswHngdVxelLmkLt423vM/kHOArEZlOdT2R9sDFqrq0\n1k8kBiJyLu6zgupc90UiEqj7cr+qfhTzBuJVVrgpDrjIr8Dxtcw30Jvvo5Dxh+MOss24q/uluBJd\n/UPm+xmu1E6RN+9zQHfC1Fj35u+NO7Ftx90nfRFXnO8R/NUTORFXKGAx1XUXPsEVTc4Imq8H4euJ\ntMTdyluLy6VVrT/c9rzxgvuBfOZtczsuF3ZcmP2b7K1jRF2mhZk3kP5aa6x78zfHVYRcj8s1zPa+\nw6g11iN8P5GmHYi7EAi0YrAC10LBkJD5zgG+8eapqhdC9Brrg3An743ect/hirM2q0P66lSXwzvu\npuNOxj/hHrQfFu4z8+bvhzvWtxJjjfWg8fm4ehrrgo7D4O9IcKWpZuJuV+7AXYC9jjvW84LmnRYt\nLbhj/i5v+RJcBcbfefu/y+cVLW1RPhvBVTb83NtG4PM8Jkx6otUlijgtwr4F9j3SsEvdqboM4m3E\nJIF3xTNcVcM+zTfGmMYupZ+JGGOMqR8LIsYYY2JmQcQYY0zM7JmIMcaYmKV6Ed+w2rVrpz169Eh2\nMowxJiE+++yzDaraPh7rsiASRo8ePZgzJ2w7bcYY0+SJyLJ4rcueiRhjjImZBRFjjDExsyBijDEm\nZhZEjDHGxMwerBtjqlRWVrJy5UqKisL1nWSaiszMTDp06EDLlvHoKic6CyLGmCobNmxAROjTpw9p\naXajoilSVUpKSli1yvWim+hAYkeJMabKli1b6NixowWQJkxEyMvLo0uXLvz4Y6TegOPHjpQwPvsM\nevSAJ55IdkqMaVgVFRVkZvrtZ8k0Zrm5uZSVlSV8OxZEIli2DM491wKJST1BnfuZJqyhvkcLIlEU\nF8OVVyY7FcYY03hZEKnF8uW1z2OM2f3cd999dOzYkebNm7Nx40aaN2/ODz/8EHbeRx55hF/84he+\n1jtp0iSuuuoqAN5//3369OkTtzQngwWRWnTrluwUGGPAtWn31ltvNci2ysrKuPjii5kxYwbbt2+n\nbdu2bN++nV69esV1O//3f//HwoULq/5vyH2MFwsiUeTlwY03JjsVxpiGtm7dOnbs2EH//v2TnZRG\nz4JIFH//O5xySrJTYYypzYMPPkjv3r1p06YN48aNY/Xq1QBce+21/P73vwdc7qJZs2ZceumlAJSU\nlJCTk8PmzZtrrGvRokVVt5hatWrFyJEjAfeg+vvvvwdg48aNjBs3jpYtW3LAAQewePHiGutYsGAB\no0aNok2bNvTp04enn346bLpnzpxJ165dATjttNNYvnw5Rx99NM2bN+eWW25h7Nix3H333TWW2W+/\n/XjhhRdi/qzizSobhtGnDyxcCG3aJDslxiTXRRfB3LmJ3cbAge6CLVbvvPMOl19+OTNmzKB///5c\ncskl/OpXv+K9995j+PDhXHjhhQB8+umndOrUiVmzZgHw0Ucf0adPH1q3bl1jfXvttRfz58+nZ8+e\nbNmyhYyMXU+Tv/3tb8nJyWHNmjUsWbKE0aNH07NnTwCKiooYNWoUU6ZM4bXXXuPLL7/k8MMPp3//\n/lFzNo8//jjvv/8+U6dO5bDDDgPc7a3bb7+9KhDOmzePVatWMWbMmNg/sDiznEgYzZpBfj68+mqy\nU2KMqc0TTzzBmWeeyaBBg8jOzubmm2/mo48+YunSpQwZMoTvvvuOjRs38t5773HWWWexatUqtm/f\nzqxZsxg+fHidt1dRUcFzzz3HlClTaNasGfvssw8TJ06smv7yyy/To0cPzjjjDDIyMhg0aBATJkzg\n2WefrfO2xo8fz3fffcd3330HuEBz4oknkpWVVed1JYrlRMIQgdGjXRCprASrvGtSVX1yCA1l9erV\nDBo0qOr/5s2b07ZtW1atWkWPHj0YPHgws2bN4r333uPKK69k7ty5fPjhh8yaNavqCr8u1q9fT3l5\nOYWFhVXjunfvXvV+2bJlfPzxx7Rq1apqXHl5Oaeddlqdt5Wdnc0JJ5zAtGnTuPbaa/nPf/4TUzBK\nJDs9RnDEEbB2LXz7bbJTYoyJpnPnzixbVt1RX1FRERs3bqRLly4ADB8+nHfeeYcvvviC/fffn+HD\nh/PGG2/wySefMGzYsDpvr3379mRkZLBixYqqccuD6gIUFhYyfPhwtmzZUjVs376d++67r9Z1h6sg\nOHHiRJ544gnefvtt8vLyGDJkSJ3TnEgWRCIIFPn+8MPkpsMYU62srIwdO3ZUDeXl5Zx88sk8/PDD\nzJ07l9LSUq644goOPPBAevToAbgg8thjj9GvXz+ysrIYMWIEU6dOpWfPnrRvX/duxtPT0znuuOOY\nPHkyxcXFfPPNNzz66KNV04866igWLVrE448/TllZGWVlZXz66ad86+OKtGPHjrvURRkyZAhpaWn8\n8Y9/jCk3k2gWRCLo3Rvat7cgYkxjMmbMGHJzc6uGyZMnc+ihh3L99dczYcIECgoKWLx4MU8++WTV\nMgcffDAlJSVVuY5+/fqRk5MTUy4k4J577mH79u106tSJSZMmccYZZ1RNa9GiBTNmzODJJ5+kc+fO\ndOrUicsuu4zS0tJa13v55Zdzww030KpVK2677baq8aeffjpfffUVp556asxpThRR1WSnodEZPHiw\nzpkzh2OOga+/Bq9UnzG7vW+//Za+ffsmOxkmxGOPPcYDDzzABx98UKflIn2fIvKZqg6OR9osJxLF\n0KGweDGsW5fslBhjUlVxcTH33nsv5557brKTEpYFkSiGDnWvH32U3HQYY1LTG2+8Qfv27enYsSMn\nn3xyspMTlhXxjWLgQFe894sv4Jhjkp0aY0yqGT16dKPvqthyIlHk5cFeeyW+xq4xxjRVFkRqMXAg\nzJuX7FQYY0zj1OBBREQKReRZEdkqIttE5HkR8dXguojkiMitIrJGREpE5CMRGRYyz14icqeIfCki\n2715XxSRAbGkd8AA18thSBttxhhjqEMQEZH9RORpEVkrIjtFZJA3/gYROdznOvKAd4C9gYnAacCe\nwLsi0szHKh4CzgGuAY4C1gBviMjAoHkOBw4BHgWOBn4DtAc+FpGf+0lnsIHemr/8sq5LGmPM7s9X\nEBGRg4GPgQHA80B6yDrO97m9c4BewDGq+oKqTgfGAd2B82pJwwDgZOAPqvqgqr4NnAAsB6YEzfok\nMEBVb1fVd1X1v8ARQAlwoc90VgkEEXsuYowxu/KbE/kr8DbQF7gACG7gZQ7g9wp/HDBbVauq76nq\nEuBDYLyPZcuAp4KWLccFjdEiku2N26AhNShVdSuwCOjiM51VOnWCDh0sJ2JMU9C/f39mzpzpa966\n9iJ41VVX0a5dOzp16sTy5ctp3rw5FRUVYeedPHmy79rlgWZYwLVIfPjhvm7sNBp+g8jPgX+oaiUQ\nWsV9A9DR53r6A1+HGT8f6Odj2SWqWhxm2Sygd6QFRaQNsA8QU3OKffvCggWxLGmMiZdwJ/3Qvs3n\nz5/PiBEj4r7tFStWcPvtt/PNN9+wdu1aunXrxvbt20lPT6994To45ZRTmDFjRtX/wR1hNVZ+g0gp\nkBthWidgq8/1tAHCPaLeBLQOM97vsoHpkdyNyz1FbNhaRM4VkTkiMmf9+vU1pu29twURY1LZsmXL\naNu2LR06dEh2Uhodv0HkA+ACEQmeP5AjORN4tw7bDNdY167tH4efp87LisjluGcpvwu+jbZLolQf\nUNXBqjo4tGXPPn1g0ybYsMFHKo0xSROcWykpKWHixIm0bt2avn37csstt1R1RRswd+5c9ttvP/Lz\n8znxxBPZsWPHLut86623GDVqFKtXr6Z58+ZMmjSJpUuXIiKUl5cDsGTJEoYPH06LFi0YNWoUG0JO\nFrNnz+bggw+mVatWDBgwIOItt+CcVaCByAEDBtC8eXOeeuop9tlnH1566aWq+cvKymjXrh1zk/jQ\n1m+N9WtwgeQL4BncyfxUEbkFOAg4wOd6NhM+x9Ca8LmMYJuAcEWBWwdNr0FEzgduAq5S1X/5TOMu\n9t7bvS5YUN1EvDEpoSn0jxvBddddx9KlS/nhhx8oKioK26Xs008/zeuvv05OTg5Dhw7lkUce4fzz\na5YTOuyww3jttdc49dRTWblyJQBLly6tMc/JJ5/MkCFDmDFjBh9//DFjx45l/Hj3mHfVqlWMHTuW\nxx9/nCOOOIK3336bCRMmsGDBgqhN0b/33nuICPPmzaN3b3e3ftmyZUybNo2jjz4agFdffZWCggIG\nDhwYcT2J5isnoqpfACOALcBk3NX/RUAOcIiq+n3WMB/3bCNUP+AbH8v29IoJhy67E6iRyxCR04B7\ngdtV9Uaf6QsrOIgYY5LnmGOOoVWrVlXDb37zm4jzPv3001xxxRW0bt2arl27csEFF+wyzwUXXEDn\nzp1p06YNRx99dExX9MuXL+fTTz/l+uuvJzs7m2HDhlWd5AGmTZvGmDFjGDNmDGlpaYwaNYrBgwfz\nagz9b5966qm8+uqrbNu2DXDd5Sa7jxHfbWep6qfAcO8k3g7YrKo/1XF7LwK3iUgvVf0BQER6AEOB\nP/tY9jrgl7g6IIhIBnAiMENVqxrrF5FjgYeBqap6SR3TuItu3SAnx4KISUGNrH/cF154gcMOO6zq\n/0ceeaSqZFOo1atX1+jCNvh9QKdOnare5+XlsXr16jqnafXq1bRu3ZpmzaqrunXv3r2q58Nly5bx\nzDPP7HIb6pBDDqnztjp37szQoUN57rnnOPbYY3nttde4884767yeeKpzA4xe6ajltc4Y3oPA74Dp\nInIV7rbY9cAK4P7ATCLSHVgMTFHVKd5254rIU8DfRSQTWAL8GugJnBK07DDgP8CXwCMiclDQ9ku9\nXFWdpKe7NrQsiBjTdBQUFLBy5Ur69XMFP4O7s433djZv3kxRUVFVIFm+fHlVV7eFhYWcdtppPPjg\ng3HZ3sSJE5k6dSrl5eUMGTKkqhvgZPEVRETkilpmUVW9ubb1qGqRiIwE/gY8jrst9jZwkapuD94k\nrkJj6O22M4AbgRuAVsA84AhV/TxonpFANvAzXP2TYMuAHrWlM5w+fVxrvsaYpuGEE07g5ptvZv/9\n96e4uJh77rknIdvp3r07gwcP5tprr+Wmm27ik08+4aWXXmLcuHGAuwW1//7788Ybb3DYYYdRVlbG\n7Nmz6d279y4P+kMFussNPBMBd0vvN7/5DevWrePSSy9NyD7Vhd+cyA1RpgVKTNUaRABUdTkwoZZ5\nlhKm1JWqlgAXe0OkZSfjntvE1R57wH//CxUVLmdijGncrrnmGs4//3x69uxJQUEBp5xyCg8//HBC\ntvXvf/+biRMn0qZNG4YMGcLpp5/Oli1bAJcTmT59OpdeeiknnXQS6enpHHDAAdx33321rnfy5MlM\nnDiRkpISHnjgAU444QRyc3OZMGEC//nPfzjuuOMSsj914at7XBEJd9psi2u/6iLgWFVdHOe0JU2g\ne9xgU6fCOefA0qXQvXty0mVMou3O3ePed999PPnkk8yaNSvZSam3KVOmsGjRIqZNmxZ1vkbTPa6q\nVoQZfvSKzT4CJPfJTgPo1cu9/vBDctNhjPFnzZo1fPjhh1RWVrJw4UJuv/12jj322GQnq942bdrE\nQw891Gi6y41HU/BzgeFxWE+jZkHEmKZl586dnHfeebRo0YKRI0cyfvz4qEWCm4IHH3yQwsJCjjzy\nyKrKiMkWj+5xjwQ2xmE9jVrXrpCRYUHEmKaie/fufP11uKb6mq5zzjmHc845J9nJqMFv6awHwozO\nwjVq+DNc/Y3dWkaGexZiQcQYY6r5zYmMYdd2q3bgisyeB8TcpEhT0quXBRGz+1PVqjoOpumqrKxs\nkO34CiKqGr0wc4ro1Queey7ZqTAmcXJycti4cSNt27a1QNJEqSplZWWsW7euRi36RInHM5GU0auX\na8l32zZo2TLZqTEm/rp27crKlSsJ7Q7BNC0ZGRnk5+fTrl27xG8r0gSvS1zfVPV/9U9O4xaoH7J8\nOeyzT3LTYkwiZGZm0rNnz2QnwzQh0XIiHxC+/45QgX4+dvt63IH221assCBijDEQPYiMarBUNBGB\nILI81uYnjTFmNxMxiKjq2w2ZkKagoMC1m5WgxkCNMabJiUeN9ZSRkQGdO1sQMcaYAN+ls0SkL64/\n9T64Hg2DqaqOjmfCGqvCQgsixhgT4LfG+v7Ae8AqXCdQ83F9pXf2xi1JVAIbm8JC+OyzZKfCGGMa\nB7+3s27GdU+7N6401iSvAuIRuFJZVycmeY1PICfiowV9Y4zZ7fkNIgNw/ZoH6tGnA6jqDFxPg3+N\nf9Iap27doLQUrC6WMcb4DyJZwHZVrQQ2AZ2Cpn0L7BvvhDVWwXVFjDEm1fkNIouBQG/wXwFniAeY\nCKxLROIaIwsixhhTzW/prFeAQ4H/4J6PvAxsAcqBVsAfEpK6RsiCiDHGVPPbiu/VQe9neO1qHQ/k\nAa+r6qsJSl+j0749ZGdbrXVjjIHoDTDmqmpJuGmqOgeYk7BUNWIirpdDy4kYY0z0ZyLrRORfIrLb\n959eV926WRAxxhiIHkSmA78E3hGRpSIyRUT2bKB0NWpWa90YY5yIQURVT8MV5T0TVzrrCmCBiPxP\nRM4VkVYNlMZGp7AQVq+Giopkp8QYY5IrahFfVS1S1UdV9VCgO3Al0BL4J7BaRJ4WkbEiklINOXbu\n7AKIVTg0xqQ63yd/VV2lqn9R1X2AA4AHgeG45lBWJSh9jVJBgXtdvTq56TDGmGSLKQfhlc56HnjD\nG9UhbilqAjp3dq8WRIwxqc53U/AAItIHOA04FSgEtgEP4drVShmBILJmTXLTYYwxyVZrEBGRtsBJ\nuOAxGNcI41vAn4EXVHVHQlPYCHXs6F4tJ2KMSXXRKhsejwscRwCZuD5E/gxMU9WUvgbPynI11y0n\nYoxJddFyIk8DG4H7gUdV1bpiCtK5s+VEjDEmWhA5DnhZVcsbKjFNSUGBBRFjjIlW2fAFCyCRde5s\nt7OMMSalKgnGU+fOsHat1Vo3xqQ2CyIxKiiAykr48cdkp8QYY5LHgkiMrK6IMcZYEImZ1Vo3xhgL\nIjGz9rOMMaYOzZ6IyERczfXQXZL6AAAgAElEQVRuQE7IZFXVPeKZsMauUyf3arezjDGpzFcQEZGr\ngeuAr4G5QGkiE9UUZGZChw6WEzHGpDa/OZGzgDtV9Q+JTExTYxUOjTGpzu8zkbbAS4lMSFNkFQ6N\nManObxCZBQxIZEKaIsuJGGNSnd/bWRcBz4vIRuBVYFPoDKpaGc+ENQUFBa6yYUUFpKcnOzXGGNPw\n/AaRRd7rwxGmax3WtdsoKHABZMOG6j5GjDEmlfg98U/BBQoTJLiYrwURY0wq8hVEVHVygtPRJAUq\nHK5ZAwMHJjctxhiTDHWusS4izUWkUESaJSJBTUkgiKxdm9x0GGNMsvgOIiIyWkTmAFuApcBWEflE\nREYlKnGNndVaN8akOr811kcDrwDfA9cDa4EC4ETgVREZo6pvJiyVjVRuLuTnWxAxxqQuvw/WJwMz\ngKOCi/KKyBTgZVyTKCkXRMDd0rLbWcaYVOX3dtYA4B+hdUG8/+8FUvaxckGB5USMManLbxApBVpG\nmNaCFG6QsVMnCyLGmNTlN4jMBK4XkZ7BI0WkG+5W17vxTVbTEbidpVaLxhiTgvw+E7kM+BBYKCKz\ngTVAJ+AgXGmtyxKTvMavoACKi+Gnn6BlpLyaMcbspnzlRFR1EbAfcBeQDQzCdUx1JzBQVb9LWAob\nOSvma4xJZb7bu1LVNcAlCUxLkxRca71Pn+SmxRhjGpr1sV5PVmvdGJPKIuZEROQd4DequsB7H42q\n6qHxTVrTEJwTMcaYVBPtdpYEvU8jeiu+EmXabq1VK8jOtiBijElNEYOIqh4S9H5Eg6SmCRJxD9ft\ndpYxJhX5eiYiIqeLSNsI09qIyOl+N+i1APysiGwVkW0i8rxX38TPsjkicquIrBGREhH5SESGhZnv\nYhF5yZtPRWSy3/TFwmqtG2NSld8H6w8De0SY1pPIPR7WICJ5wDvA3sBE4DRgT+Bdn03LPwScA1wD\nHIWrr/KGiIQ2u3IO0AF4wU+66stqrRtjUpXfIr7Rnnk0A8p9ruccoBfQR1W/BxCRL4HvgPOAOyIm\nQGQAcDJwpqo+7I2bBczH9bw4Lmj2/qpaKSIZwPk+0xazggJ4//1Eb8UYYxqfaKWzBuIqFQYcLSL7\nhMyWC/wKFwT8GAfMDgQQAFVdIiIfAuOJEkS8ZcuAp4KWLReRJ4E/i0i2qpZ64ysjrCMhCgpg40bY\nuROyshpyy8YYk1zRciLjgWu99wpcGWG+jcBZPrfXH5geZvx84Jc+ll2iqsVhls0CenvvG1yg1vra\ntdDN19MdY4zZPUQLIn8HHsHdyvoBOA74ImSeUmCdqu/mB9sAm8OM3wS0rseygekxE5FzgXMButUx\nEgTXFbEgYoxJJdGK+G4FtgJ4rfeuUdWdcdhmuIDjp56J1GPZWqnqA8ADAIMHD65Tm7xWa90Yk6r8\nNsC4LE4BZDPhcwytCZ/LCLYpyrKB6UlhtdaNMakqYhARkQoROcB7X+n9H2nwWzprPu7ZRqh+wDc+\nlu3pFRMOXXYnrv/3pOjQwVU6tCBijEk10Z6JTAFWBr2PR7dLLwK3iUgvVf0BQER6AEOBP/tY9jrc\nA/hHvWUzgBOBGYGSWcmQkQHt29vtLGNM6on2TOS6oPeT47S9B4HfAdNF5CpcYLoeWAHcH5hJRLoD\ni4EpqjrFS8NcEXkK+LuIZAJLgF/jKjueErwRERkM9KA6p9VPRI733r8apoRXvVmtdWNMKvLdn0go\nEWmDO4F/7TcXoKpFIjIS+BvwOO6h+NvARaq6PXj1QDq73m47A7gRuAFoBcwDjlDVz0Pm+x2uRnzA\nL6kuQtwTWOonvXVhtdaNManIVxDxcg3NVPVy7/9hwMu42uqrRORQv70bqupyYEIt8ywlTKkrVS0B\nLvaGaMtPAib5SU+8FBTA11835BaNMSb5/LaddSqurkjALbhcwDHAOtwtqZRWUADr1kFlg9aVN8aY\n5PJ7O6sLXtMmItIe2B84VFVnikgWru/1lNapE5SXu+ZP2rdPdmqMMaZh+M2JVOCaFgEYBuwAPvT+\nX089a4vvDqyuiDEmFfkNIvOBU0WkOXAmMEtVy7xphcCPiUhcU2K11o0xqcjv7awpuIYTT8G1pDs6\naNoYILR0VMqxnIgxJhX5CiKq+oaI9MU1DT9XVRcHTX4P95A9pQVa8rUgYoxJJb7riajqElwFv9Dx\n94eZPeU0awYtWtjtLGNMaonWKdUw4HNV3R6uH/NQqvpeXFPWBFmtdWNMqomWE5kJHAR84r2P1HZW\noIn29HgmrCmyWuvGmFQTLYgcQnXLuoc0QFqavIIC+OyzZKfCGGMaTrQGGGeFe28iKyiwZyLGmNTi\nt56I8aFTJ9i+3Q3GGJMK/DbA+E4ts6iqHhqH9DRpwXVF9twzuWkxxpiG4DcnkoZ7gB48tMN1JrUX\ncernvKmzWuvGmFTjt7LhiHDjRWQP4AXgpjimqcmyWuvGmFRTr2ciXs31vwC3xic5TZvVWjfGpJp4\nPFhfj7ullfLatoXMTLudZYxJHfUKIl4XuRfj+kNPeSJW4dAYk1r8ls5awq411rOAjt77qN3dphIL\nIsaYVOK3AcZZ7BpEdgDLgGdCWvVNaQUFsGSXZiqNMWb35Ld01qQEp2O30bkzfPhh7fMZY8zuwGqs\nx1lhoetnvbg42SkxxpjE8/tM5Jo6rFNV9foY09PkFRa61xUroE+f5KbFGGMSze8zkcm4ZyLhaqaH\njlcgZYNIt27u1YKIMSYV+L2dtQ+uV8M/Az2AXO/1cm98P1VN84aU7lckOCdijDG7O785kXuAqap6\nS9C45cBfRSQN+AeQ8g0wAnTp4l4tiBhjUoHfnMiBwJwI0z7F9YBogOxs6NjRgogxJjX4DSJbgVER\nph3uTTeewkJYvjzZqTDGmMTzezvrX8DlItIceAZYh6utfgJwLtaKbw3dusG33yY7FcYYk3h+g8g1\nuFJXFwHne+MEKMIFkMlxT1kTVlgIM2aAqmtPyxhjdld+a6xXAleLyO3AvkABsAb4UlXtVlaIwkLX\nRe7WrdCqVbJTY4wxieM3JwKAqm4B3k9QWnYb3bu716VLYeDApCbFGGMSyteDdRG5TETujjDtLhH5\nU3yT1bT16uVerSFGY8zuzm/prDOALyNMm+tNN55AEPnhh+SmwxhjEs1vEOkGfBdh2g9A9/gkp5HY\ntKlei7dqBa1bWxAxxuz+/AaRYqBLhGldgdL4JKeRWLIEnn66Xqvo1cuCiDFm9+c3iLwP/ElEsoNH\nev//kd3tYXvz5nDyyfDsszGvwoKIMSYV1KUV3/8Bi0RkGrAKlzM5FWgLTEpE4pJmzz0hNxdOOgnS\n0+HYY+u8il69YPp0qKhwq0iEkhJ491345BPYtg3at4ef/xyGDYOcnMRs0xhjgvmtJzJPRA4BbgMu\nw+VgKoEPgAmqOi9xSUyCtDR47TUYPRpOOAGeew7GjavTKnr1gp07YfXq6pZ946WyEu6+G266CX78\n0Y3Ly6vuCKt1azjvPLjgAtddrzHGJIrvng1V9RNVHQa0wD0HaaGqI1Q1UsOMTVvLlvD66zBoEBx/\nPLz8cp0WT1QJrc2b4fDD4aKLYN99XawrLoaiIpcbeeUVGDkSbrnFZahuucUFM2OMSYQ6d4+rqiWq\nulpVSwBEZLiI/Cv+SWsE8vPhjTdgwACYMAFefdX3ooEg8v338UvOhg1wyCHw/vswdSq8+SYccYS7\n8wbQogWMGeMe5SxcCIceCpddBvvvD199Fb90GGNMQEx9rItIbxGZIiJLgHdxDTHunlq1cg1h7bMP\nHHecCyo+dO/umoVfsCA+ySgthWOOccHhxRfhrLOit8vVu7d7JvPii7B2rQskf/ubuxVmjDHx4juI\niEi+iJwrIh8AC4Ergc3Ar4HOCUpf49C6tbvs79sXxo9372uRng577w3ffBOfJFxwAXz4ITz6qHtU\n49fRR7tcyOjRcPHFMHZs9XMUY4ypr6hBRETSRGSMiDyJa3Dxn7hucf/hzXKRqt6vqtsSm8xGoE0b\neOst13H6uHHw9tu1LtK3b3yahH/hBXjgAbj0Uvecv646dHDruPdeV5prwAC3K8YYU18Rg4iI3IYr\nyvsScDTwX+AIXO31a3BNwaeWtm3d2bd3b3eJP3Nm1Nn79XONMBYVxb7JzZvh3HPhZz+D66+PfT0i\n8Otfw6efuozV4YfD5ZdDWVns6zTGmGg5kYuBDsCrQDdVPUVVZ3jNwmuDpK4xat/e5UJ69nT3ht57\nL+Ks/fq5PkUWLox9c1dfDRs3wr/+BVlZsa8nYN99Yc4cOPts+MtfXJ0SayjSGBOraEHkX8BPwFhg\noYjcIyIHNEyyGrkOHeCdd1wXhmPGwAcfhJ2tb1/3Gustrblz4b77XA4ink3K5+W522NPPeXSNnCg\ne2+MMXUVMYio6tlAJ1yt9M9wPRp+JCLf4iocpm5uBKBjRxdIunSBI490T71D9O4NGRmxPVxXdQ/T\n27at322saE44wQWqfv3gV79yZQasb3hjTF1EfbCuqjtU9d+qOhooBK4AKoA/456J/EVEThWR1Gxk\no6DAPakuKIBRo9zT6yBZWe45/JeRGtGP4rXXXH2Q665zzzASpUcPd0fu1lvd455+/eC221yRYmOM\nqU1daqyvUdW/quo+wIHAvcCewGO4klupqXNnd7bfd19Xj+TOO2tM3n9/17aV1iHfVlkJV17pKiye\ndVac0xtGZiZcconLMY0YAX/6kyue/Oijru0vY4yJJKbKhqr6qar+Dlc/5HhgVlxT1dR07OhyJOPH\nu/ZIfv/7qmJPBxzg6mUsW+Z/dc8+624zXXddfB6m+9W9O7z0kmvtpU0bmDTJxcbHHrOmU4wx4cUU\nRAJUtUxVn1fVY+KVoCYrL8+d/f/wB7jnHtfmyNq1HHigm/zJJ/5WU17uSmT17+8aEW5oIq5i4qef\nwjPPuLYoJ050AebGG2HduoZPkzGm8apXEDEh0tPhjjtg2jRXjnbQIPb76UNycuDjj/2t4rHHYNEi\nuOGGxDUh70dammt38quvXM5kwAC46iro2tW1jP/SSy7gGWNSmwWRRDjlFJg9G5o1I+PQ4dzTbjKf\nza69Vl9pKUye7G6BjR+f+GT6EciZvP66Kw78hz/A//7nKu0XFroGHuPVtIsxpumxIJIo++3nciMn\nn8xZK6/j1o+GUjI3eq3D+++HFSvcbaNojSsmy957u6blV650jTsecADcfru79Xbgga5Oy+bNyU6l\nMaYhWRBJpPx8eOwx5l31DL10MVkHDnQRIkz52e3b3aRDDnGPUxqzzEyXE5k+HVatcnfwSkrgN7+B\nTp3gxBNdq/l2u8uY3Z8FkQaw1xXHMzj7a+YVHuUeLOy7r2tePshdd7lSXI01FxJJx47uFte8efD5\n53D++a5VmLFjq2931aVkmjGmabEg0gByc2HQ2ALGFj1DxSuvu0ojo0e7mu5ffMHq1a4dq6OPhiFD\nkp3a2Ii4RiLvvNN1Cfz8866OzO23u/ouxx0Hs2bVrb6MMabxsyDSQE46yXUO9bqOdkWe/vpXV2Rr\n0CCWHXQivXd8zR13JDuV8ZGV5Upwvfii6x740ktdABkxwrXT9dBDsGNHslNpjIkHCyINZPx4V7n9\ntttAs3PcmfWHH/j6mKvYd8UrfF62L71/f6S7F7QbXa536wY33+wexk+d6sadfbYbf911sH59ctNn\njKkfCyINJDPT9d8xc6arRgLwyaJWHDjjek48cBkV190AX3wBhx3mijvddttuVbMvN9c14TJ3rouT\nBxzgijMXFrr+UuLReZcxpuGJ7kZXvfEyePBgnTNnTtzXW14OI0e6ehbDh7sW5Lt0cQ0AFxTg7vH8\n+9/ukv2jj1wTwGPHuuZ2x451pb12IwsWuH7fH3vM7fqYMa4L35Ejm1bhAmOaGhH5TFUHx2NdDZ4T\nEZFCEXlWRLaKyDYReV5EuvlcNkdEbhWRNSJSIiIficiwMPOlicjlIrJURHaIyDwRmRD/vambjAxX\n0/u882DDBtc21ezZXgAByMmBM890Ueabb1yxp48/dpUX27eHI45wlTG++263uOW1996ubszy5TBl\niqtWc9hh7rnJo49ae13GNAUNmhMRkTxgHlAKXIXrk+QGIA/YT1WjdiQrIk/gOsn6E/AD8FvgSGCI\nqs4Nmu9G4BLgSlxfKL8CzgGOUtVXa0tnonIiMamsdJHmv/91w+LFbnyXLu6SfdgwVwyqXz93z6wJ\nC2TE7rgD5s93wfWss1yhhH79Gi4dFSU72bZiKz+t2MLODVvhp+2uIkxJCVK6gxwtIauihOzKEjIr\nSsiq2EH6zhJX/6eiIvxQXl79XtW1aZOWVvM13PusLHdxERiys6P/n5cHzZq5oXlz99qQrXiaJiGe\nOZGGDiIXAncAfVT1e29cT+A74FJVjVg+SUQGAHOBM1X1YW9cBjAfWKiq47xxHYAVwF9U9dqg5d8G\n2qvqfrWls1EFkWCqrmGtd991HWK9+67L0oA7gQwYAD//uTvj9unjhi5d3MmoCVGFN990wWTGDPd/\noKX9Qw91teMjnhd37oStWyMOZeu38NPKrRSv3crO9Vup3LwV2baVzOKt5O7cSvOKreRSt6JjZWRQ\nQi5ladmQlo56QUAyvCEzg/TMdNKy0snISicjU0hPq0QqKtxFQiC4hHu/c6cLTiUlsec+MzJqBpXQ\nIBPt/0BQivSak2P3HpugphxE3gZyVHVoyPhZAKo6PMqyVwNXA61UtTho/HW4TrJaqmqpiJyG6+Nk\nL1X9Lmi+M3Bd/vZS1ai9ijfaIBKqstLlTObMccNnn7kafz/9VD1PXp7reaprVxdQunZ1Q4cOrrer\nNm3c0Lq1e/rd0CeEykp3giwurjmUlEBREZuXbuWLmVuZ/9E2tizbSgu20TZ9K11bbKVj7jZapW0l\nr3wbOaUuEKTvrD0AbKcZW8lnK/lsI58dOflUNs+H/Hw0Px/yW5HWJp/MtvnQKp/KvBaQm4vk5lCe\nmUux5rK9wg0/leXwU0kGGzfCxo0upge/btsWPg1paa7XyvbtoV079xpuyM/3zul5Sl5WOc0ySslh\nB1K6w2XdSkvda2AoLoaiItcEQlFR9RD8f7RpJSV1+/5E3DFWW7AJ95qb63JSIYNmZVOekU1lRjbl\n6dlUZGRTnpFDRUY2ZWnZlKdlUan+jtO6nN5E3JCWVvM1XuPiQtV1M1FeHv412rSgVxk/Pm5BJCMe\nK6mD/sD0MOPnA7/0seyS4AAStGwW0Nt73x93u+z7MPMB9AOiBpEmIy0N9tzTDYF241VhzRpYuLB6\nWLbMtU/y9dduWqRfVlZW9Y87N9ddZQa/D/2FhL6Wl9d+AJeVVZ/siotr7UKxNTDSG1SE8tyWbE9v\nyZayfNYXtWRpWXu20ptttGQbLdlCq6oAsZV8ijPyadY5n5aF+bTpmU+H3i3p1iuD7t1d8/Z7dXEX\n6omyc6cLKOvXRx/mz68OPOG/HgEygUxEmpOX5+5eht4RS0urHgInMah+H/o/gOSC5IF0gDStIFeL\nydMiciuLyKOYZrjXPC1y4wPTtZjcyurXnNJickuKyF5fTHZ5EVnlP5JdXkR2RTG5FUVkVxaTt8vP\nN/KeAmRHmKeULHaSRTkZVJBOBek13vv5v5I0lF3P7vUZl0Zl1ZBOxS7vq1+99xJ9vgzK3aBlZFJG\nOpW1fn4NraGDSBsgXBN9m3Dni1iXDUwPvG7RXbNYofPVICLnAucCdOvm6zl/4yTiKqR07uwa4gpV\nVuZqPa5f71pL3LSp5mtxsTvJe88Aqt4XFbmzW2Vl5NeMDHdmC7zm5tb8P3h84Oo1+H3wEBifn181\nSLNmZKal0Rp3sPTEJW39encCDrTVlZXlMlatW0OLFsm925KVVf11+FFR4b6KQHDZts199IEMRvD7\nwGOWwJ2vysqa7wO/ANXqIfj/8NPSUW0BtEAVKiphq8Lmyl3XXxllXOCrzsx0n0HV+4xKmqWV0EyK\nyZMSctNKyZFSsiklS6tfsyp3kEUpWZWlZIYMGZWlZJSXkl5RilRWIJUVpHmvUlleNS7b+796Ws3p\nopW4x7IepeqDUO+PAqJa9X/1tOp/qtagikoaShqVkkGlZKGSTmXVOPe+UtKpkDTKvHE1pgXe45ap\nkAzK0zKpkAwqJJNyce/LJZPywDjc/2XqvRL0XjMok0zKKjMow827UzNhzs/rcBRH19BBBGp8a1X8\n/MzF57J+56uZKNUHgAfA3c7ykZ6mKTPTVc4oLEx2SuIiN9dVXGzKcT9Yenr1razdUxrQzBtMsjwQ\nxwurhn7iupnwOYHWhM9lBNsUZdnA9MBra5Fdrj9D5zPGGFNPDR1EAs8sQvUDauvaaD7Q0ysmHLrs\nTqqfgczH3UrdI8x8+NiOMcYYnxo6iLwIHCQivQIjRKQHMNSbVtuymQQ9gPeK+J4IzFDVwBPa13FB\n5ZSQ5U8Fvq6tZJYxxhj/GvqZyIPA74DpIhKobHg9rl7H/YGZRKQ7sBiYoqpTAFR1rog8BfxdRDJx\nJax+jXu+WhUwVPVHEfkbcLmI/AR8jgs0I4FG0umsMcbsHho0iKhqkYiMBP4GPI572P02cJGqbg+a\nVYB0ds0pnQHciKvl3gpX+/0IVf08ZL4rge3AhUAnYCFwgqq+FN89MsaY1GYNMIbRZCobGmNMDJp0\nA4zGGGN2H5YTCcN7lrIw2elIgnbAhmQnIkls31NPqu43uPYLW8RjRcmobNgULIxXVq8pEZE5qbjf\nYPueivueqvsNbt/jtS67nWWMMSZmFkSMMcbEzIJIeA8kOwFJkqr7DbbvqShV9xviuO/2YN0YY0zM\nLCdijDEmZhZEjDHGxCxlgoiIFIrIsyKyVUS2icjzIuKrFwoRyRGRW0VkjYiUiMhHIjIs0WmOl1j3\nXUQGi8gDIrJARIpFZLmIPCEiPRsi3fVVn+88ZD2Xi4iKyAeJSGci1HffRaSviDwjIhu8Y36hiFyY\nyDTHQz1/591E5FHvOC8WkUUicoOINInOT0Skq4jc7Z2fir1jtofPZdO843ypiOwQkXkiMsHPsikR\nRLzm498B9gYmAqcBewLv+jxAHgLOAa4BjgLWAG+IyMDEpDh+6rnvv8I13X8XcCSuL/tBwBwRadS9\nWsXhOw+spxeuLbYfE5HORKjvvovIYOBjXJcKZwNjgNtx7dk1WvXZb2/6W8Aw4GpgLDAV+CPwrwQm\nO556Ayfg+mZ6v47LXg9MBu7B/dZnA8+IyJhal1TV3X7ANcRYAfQOGtcTKAcurmXZAbjWhs8IGpeB\nq9H+YrL3LcH73j7MuO5AJa6F5aTvXyL2O2Q9b+BamJ4JfJDs/WqA7zwN1yfPf5O9Hw2834d7v/PD\nQ8b/xVs+L9n752P/04Len+3tTw8fy3UASoHrQsa/DXxZ2/IpkRMBxgGzVTXQcRXq+hX5kNqbhx8H\nlAFPBS1bDjwJjBaR7PgnN65i3ndVXR9m3DJgPdAlzumMt/p85wCIyMm4nNflCUlh4tRn30fgOnC7\nI2GpS5z67HeW97otZPwWXGCNY4eyiaGqlTEuOhq3/9NCxk8D9q3t9nWqBJH+wNdhxs+nusfDaMsu\nUdXiMMtm4bKQjVl99n0XItIXd+XybT3TlWj12m8RaY3rsuBSVW1qXSrXZ99/4b3miMhsESkTkR9F\n5C4RyY1rKuOvPvv9FvAd8FcR6Scizb1uKy4E/qmqRfFNaqPSH5cT+T5k/HzvNepnlypBpA3h+3Df\nRHXf67EsG5jemNVn32vwepL8Jy4n8lD9k5ZQ9d3vW4FFwCNxTFNDqc++d/ZenwJmAKOAW3C3R/4d\nrwQmSMz7rao7cAE0cDvvJ9ztnJdxHentztoAW9S7hxXE1zkulRpgDFer0k8WVeqxbGMRr/TfAxwM\njFXVcD/Wxiam/RaR/wNOBwaF+WE1FbF+54ELy2mqeo33fqaIpAN/EZF+qvpNXFKYGLF+5zm4wNkB\n90B+OXAArjBNOa4X1d1Vvc5xqRJENhM+mrYm/JVLsE1AuCKCrYOmN2b12fcqInIzcC4wUVVnxClt\niVSf/b4fl9NaKSKtvHEZQLr3f4mqlsYtpfFXn33f6L2+GTJ+Bu4h80CgsQaR+uz3WbjnQb1VdbE3\n7j0R2Qo8ICL/VNV5cUtp47IJaC0iEnLR5Osclyq3s+bj7vuF6kftP4j5QE+v+GDosjvZ9T5iY1Of\nfQdARK7EFe+9UFUfj2PaEqk++90XOB934gkMQ4GDvPeN/aq0vsc77HplGrgqjfXhbUOoz37vC2wO\nCiABn3ivfeuZtsZsPq449x4h4wPPQqJ+dqkSRF4EDvLK/APgVcIZ6k2rbdlM4JdBy2YAJwIzGvkV\nKdRv3xGRC3B92l+pqncnKI2JUJ/9PiTMMA/30PYQ4Nn4Jzeu6rPvr+Eesh4RMn6099qY+42uz36v\nxV2NhxaUOdB7XRWnNDZGr+MuiE8JGX8q8LVXwi2yZJdtbqDy081wOYavcEX9xuFOCj8AzYPm6467\n/3lNyPJP4q5AzwYOxZ1EduDumSd9/xK177jKhpW4E8tBIUO/ZO9bIr/zMOubSdOpJ1Lf4/1ab/xN\nwGG4XGgJ8Eiy9y1R+w30wBXvXYSrqHgI8Cdv3ByC6mA05gE43hvuw+Umf+39PzxonnLgoZDl/uKd\n0y7G3da7z/vtH13rNpO90w344XYDnvMOip+AFwipiOMdSApMDhmfiys3v9b7oD8GRiR7nxK977iS\nSRphmJns/Urkdx5mXU0miNR333G3ri72Tsg7gWXAFCAz2fuV4P3uBzwNrMAFzUXAbUDrZO9XHfa/\n1t+r9/8jIculA1d533Up8CVwvJ9tWlPwxhhjYpYqz0SMMcYkgAURY4wxMbMgYowxJmYWRIwxxsTM\ngogxxpiYWRAxxhgTMwsixhhjYmZBxBhjTMwsiBhjjImZBRFjGpiINBORBSLyiYhkBo0/XEQqReS3\nyUyfMXVhzZ4YkwQi8jwXaXsAAAEHSURBVDNgNvA3Vf2ziHTAtVf0iaqOS27qjPHPgogxSSIifwBu\nBw4HLsH1aTFAVTckNWHG1IEFEWOSREQEeAUYCWQBo1T17eSmypi6sWcixiSJuiu4x3G9ys2zAGKa\nIgsixiSJiHQC/g58DgwQkQuTnCRj6syCiDFJ4N3KehTX6dMoXDD5q4jsl9SEGVNH9kzEmCQQkT8C\ntwAjVXWWiGThSmtlA4NVtSSpCTTGJ8uJGNPAvOK9NwE3q+osAFXdCZyE67r1juSlzpi6sZyIMcaY\nmFlOxBhjTMwsiBhjjImZBRFjjDExsyBijDEmZhZEjDHGxMyCiDHGmJhZEDHGGBMzCyLGGGNi9v++\nNzoNeVZhIwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAELCAYAAAAY3LtyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzsnXmYFNW1wH+HbdgZdmQRUHTYx7Dp\ngIEZNhEUxQUUQcA1LyaaZ3wxbhGXRBM1MYnRRNzFqLjiDio7omyCAiL7jqisMmzDzHl/nOqZpume\nqZnpnu4e7u/76qvuqlv3nqqurlPnnnvPEVXF4XA4HI6SUCHeAjgcDocjeXFKxOFwOBwlxikRh8Ph\ncJQYp0QcDofDUWKcEnE4HA5HiXFKxOFwOBwlximRcoiIjBURFZGxJTi2lXfsc2XRnqNoRKSSd30/\nibcsjpIhItd4v+GoeMsSbZwS8YGIvO/dAMviLUu8EJENIrIh3nIURZASjLTsibeM4RCR+z35zo63\nLNFERNp45/VUMY8LPHR/FbJ9i4isia6U0SGRZQtGRFqIyM0i8qkn8xER2SoiE0WkfXHrqxQLIcsT\nInIScA6gQAcR6a6qC+IsVlG8BXwObC/BsVuBdsDeMmovVnwLvBJm+6GyFqS0qOpREWkHZMdbFkeJ\neQ2YA2yLtyDATcBvsf/IB8AuoBNwBXCxiAxU1dl+K3NKpGjGABWBR7ALfxWQ0EpEVfdSPCUQfGwO\nsLKs2oshK1V1fLyFiBaqWqzfxJFYJNh/ZB7QS1U/C94oIpcD/wX+BXT2XZuquqWQBXug7gGqYpp7\nN1C1kPJ9gXeBH4DDwEbgJaBTSLkzgCnAfq/O14GTgRn2sxxT9jnMEmoVpr3j9gFjvW1jQ8r2Bz4G\nvsPeyLd4MgwNKtPKO/a5kO/hlrGFteftuxpTutnAPmAWcEGYcuO9OjKxN6KlQTLeD1T0+XsF5H3b\nR9lrvLKj/OwD2njbngJOB97BHgz7gMlA6wjtdAMmYZbaYe+c3gR6evvnRLi+n3j7KwV/D3MfvQn8\n6NW9CrgXqB5SrkSyRzifft59two44NUxB7g0wjUMtzT3+dv8KkT+cEvwb1QB+AUwH/tv7QfmRrjn\nJnrHtwJu887nCHCnt78t9vK4FPuPHgSWA7cDlcNc24iyRbrXAAGuAxYGXcuZwPlh5L3fq+NsYDTw\nFfYf2QTcA1SIwvNurddGqt9jnCVSCCLSC0gDnlbVQyIyEfuDXoRp7NDyN2M33T6si2c70AJTLAuA\nr71ynYHZQDXMzN2APTznYDdrLM7lPOzB8R320NgFNAHOBIZ6+8KxB7tBf+N9fzRo35Ii2vwn8CtM\nkf4HqAJcCrwtIr9V1b+GOezXwABPxumebHdgD9LfF3qSZccpWPfdYmACkI7J2UFEOqpqfpeZiIwE\nngeOAm8D64GmQG/sPvoMeAbIA34OPIs9FADWFSaEiPQBPsQs5VexrpIs4C5ggIhkqurhkspeCLdh\n9/XnXpv1vTomicivVfUxr9xi4J/Yb/olx95j+3y0E8wu7D68GbuW/wja9xWAiFTAlPXFwDJM0VUA\nhmD3XLBswTwBdAHex+67Dd72S4ArsfvwYyAF+5/+0St/iV/ZCuFxTOltAP7ttTEceEdEblLVf4Q5\n5n+xF8LJwDTgQuAP2H1wZxHtFUWOt871fURpNVd5XrC3NgX6eN9bY3/2j8OUPcO78OuBpiH7KgGN\ng77P8uq9KKTc8952Ddn+HKW0RLC31cNAwzB11A/63IogSyRo+wZgQ4TrFK69Pt62pUDNoO1NML9L\nDnBK0PbxXvldQJug7fWAncBPQBUfv1lA/pVenaFL26CyJbVEFLgppPyL3vZLg7Y1w94udwJpIeUl\n+D4h6C0zjCzHWSLYA2O9d8+dHVJv4J64vaSyF3GNj7NagJrYS9JuoFqYdp8q5n/vGEskaPsWYE2E\nY27wjvk7QW/lnmwLsbf2JkHbA5bI2uDtIb9f5ZBtgil6Bc4qhmzh7qd+3rbFQI2g7U2xF9AjQMsw\n98iPHPvfaeBd9z1ApeJc5xAZz/Tqn1ec49zorAiISA3sjWAT9tBHVddjb459ReTkkEOux956blPV\nY5xnqnpUVXd49bbE3jgXqOqbIXXcRXHeAIpPDgVvGsHy7YxBW2O89V2quj+ore+Ah7AH4xVhjvuH\nqq4JKr8Le4OtiVmFfkkD7g6ztC1GHZFYzbFvm2APbrCuqwBjMWvzAVX9NriwGqVxsvbBFOYbqjon\nuF6su+UIBb9BSWSPiPc/CN22H1NGqUBXP/XEgBuwB+wtqpoXItv92Fv+hWGO+4t3Xx6Dqm5V8xEG\nb1PMcgGzBkpD4Pe5U1XzB01498UjQGVgZJjjHlXVdUHlfwTeA+oAp5VEEBGpjSnHPIpp8bvurMhc\nAtQCHvNunAAvAr2wB8S9Qdu7e+upRdQbcFgdN/pBVTeJyCbM4ok2rwLDgGUi8grme5mjqrEa8nqG\nt54RZt+MkDLBfBlm21ZvnVqM9ierargHRjRYGnJPQHgZ/d4TJSHi9VXVbSKyGuuiqqaqB4N2+5U9\nIiJSB7gV68I6BVOUwZzkp55o4j0E22HW2R0iElqksbcO9xKxMEKdFTB/xWigA1Abs0QClPY8A7/h\nzDD7ZoSUCSZa/xEARKQK1q3eDrhDVcPJExGnRCIzzltPDNk+CXuTGysi9wX9IesAh70358Ko462/\nj7B/BzFQIqr6qogcxfpt/xcbaXZURN4FfqOqmwqtoPjUBg6pari+7++CyoQSbgTLUW9dMRqCRQG/\nMgZ+61gM6wxcux0R9n9HwYMvWImU6vqKSApmmXfGHr7PYF0puZif4Hzsjb+sqeutW2MWZyRqhNkW\n6b/4BKZENgBvYNf6CNbF+mtKf561gf3BVkgQZfIfEZFK2AvmQMwi+1NxjgenRMIiIqdijk+A5WHe\nasBu1kzM6QbWH9lGROoVoUgCN0CjCPsbh9kWMM3D3SDhbrKwqOobwBsiUhfrUrscuAw4RUR+FuYN\ntTTsA04VkdphFEnjoDLxJCrXtRACVl5TrJslmgSuXbj7JXh7tK/xRZgCeVxVbwjeISJ3YEokHgTO\nc6aqZhbz2OPuexFpClyL+St66bGDJXphSqS07ANaikh1VT0Qsi/m/xFPgbyMdfE9qqq3lqQe5xMJ\nz1jMbJ0OPB1mmeyVGxd0TGDuyMAi6g6M1jhuZrLnZwn1tUDBw6hZSPkK2OiaYqGqu1X1HVW9HPjU\nqyNcu8HkUry3nMDIrd5h9vUJKRMvwl5Xj59FoX6/9wQU+ML8XuOI19ebIHs6sCqkKysanOqt3w2z\nr1eYbcU9r6IIex+q6m5gDdBJRKpHoZ1TsGfAx3r8iLVw5xlRtkKI239ERCpiUw8uAf6lqv9b0rqc\nEgnBezCPwW6IK1T1mtAFc7jvxGZ3Bt5Yn8TebP/k/YmD66wkIo0AVHUj5g/pISIXhTR/H+FvwkXe\n+sqQ7TdiN7uf8+rrdUUcIxdmmkPRM7l3AQ1C6yiEF7z1PcF/au86/A4zv48bJl3GBK7rCK9fGAAR\nycAstNLyPNaVdJuIHDMoQIzg+yRgvYZTaOGYiQ2dvkREzgzZ90dsOPULxx1VegLdnsc8SEVkOHBu\nmPLFPa+i2AU0FJHKYfb9E7ufHwt3n4pIRxFp4LOdwHn2lKCuCBFpi/mDiitbOAK/z70iku9XEpEm\nwC3YIJiXfdblG+8Z9yL2HHuSUlpVrjvrePpjY+DfV9WwYTxU9YiIvIQ9xEcAE1R1iYj8DngYWCki\nb2LD9Jp6dT5MwRyLX2NzQiaJSPA8kWaYpRI6W/Qt7IFxtYg0x4ZS/gxzus2k4K2lMP4KNBeRGV57\nFT25OgITA6PHCmE6NnpnsojMxW7w91X163CFVXWGiDwB/A/mzH8Le7ANx7ryfqeqa33IHTNUdaOI\nvI2Z8wtE5GPstx+KjXYplWNeVbeKyDXYw2KJdw3WY8Oce2MW7S1e8Rne+gER6YANad6gquFCt6Cq\nuSJyFRa2YoaIvIrdb1nYUM352D0XbSZjQ1nv8OY7fYuFzBiIzYM55pqp6l4R+RIb0TgBm/ui2Nvv\nTyVofzp237/j3YdHgXdVdTnwGNAT6yHoKyLTMT9GU+w/lY4Ndiiya9Eb5PIu1j33hfe/aQZcAHyE\nzUUpjmzh2vjEuybXAl+LyGQK5ok0BG5W1Q1FXpHicy/Wlb0L873cHabL/hnfftKSjikurwum+RW4\npIhyZxBmTDX2Z/oIczYewh7YLwIdQsr9DBu1k+2VfQNoSZgZ6175NtiDbT/WT/oONpzvOfzNExmB\nDQpYS8HchfnY0ORKQeVaEX6eSG2sK+87zErLrz9ce952wf4gi7w292NW2EVhzm+8V0dmcfaFKRuQ\nv8gZ6175mthEyB8wq+Fz7zcsdMZ6hN8n0r4zsReBQBSDzViEgoyQctcCK7wy+fNCKHzGehfs4b3T\nO241Npy1RjHkK9ZcDu++m4w9jH/CHO39w10zr3x77F7fSwlnrAdtr4MNRd0RdB8G/0aCjaaagXVX\nHsJewD7C7vXqQWUnFiYLds//wzv+IDaB8Vfe+R93vQqTrZBrI9hkw8VeG4HreWEYeQqbSxRxX5iy\ngfMubCmynsAiXqWOBMF74+mjqmG9+Q6Hw5FIOJ+Iw+FwOEqMUyIOh8PhKDFOiTgcDoejxDifiMPh\ncDhKjBviWwoaNGigrVq1ircYDofDUSwWLVr0o6o2jEZdTomUglatWrFwYdjYbQ6Hw5GwiMjGaNXl\nfCIOh8PhKDFOiTgcDoejxDgl4nA4HI4S45SIw+FwOEqMc6w7HI588vLy2LJlC9nZ4fIkOZKFypUr\n06hRI2rXjkZanMJxSsThcOTz448/IiKkpaVRoYLrqEhGVJWDBw+ydatlzI21InF3icPhyGfPnj00\nbtzYKZAkRkSoXr06zZo14/vvI2X+jR7uTikNixZBq1bw0kvxlsThiAq5ublUruw3p5IjkalWrRo5\nOTkxb8cpkdKycSNcd51TJI5yQ5gERY4kpKx+R6dEosGBA3DHHfGWwuFwOMocp0SixSZ/mSQdDkdy\n8MQTT9C4cWNq1qzJzp07qVmzJuvWrQtb9rnnnuPss8/2Ve/YsWO58847AZg9ezZpaWlRkzkeOCUS\nLU4+Od4SOBzlmlatWvHJJ5+USVs5OTncfPPNTJ06lf3791O/fn3279/PKaecEtV2fv7zn/Ptt9/m\nfy/Lc4wWTolEg+rV4Y9/jLcUDocjSuzYsYNDhw7RoUOHeIuS8DglUlpE4PHH4Yor4i2Jw3HCMmHC\nBNq0aUO9evUYOnQo27ZtA+Duu+/m17/+NWDWRY0aNfjd734HwMGDB6latSq7d+8+pq5Vq1bldzGl\npqbSt29fwBzVa9asAWDnzp0MHTqU2rVr06NHD9auXXtMHStXrmTAgAHUq1ePtLQ0Jk2aFFbuGTNm\n0Lx5cwBGjx7Npk2bOP/886lZsyZ/+ctfGDJkCP/85z+POaZz5868/fbbJb5W0cZNNiwNbdrAmjXQ\npEm8JXE4YsJvfgNLlsS2jTPOgEcfLfnx06ZN47bbbmPq1Kl06NCBW265hcsuu4xZs2bRp08fbrrp\nJgAWLFhAkyZNmDlzJgDz5s0jLS2NunXrHlPf6aefzvLly2ndujV79uyhUqXjH5M33HADVatWZfv2\n7axfv55zzjmH1q1bA5Cdnc2AAQO49957+fDDD/nqq68YOHAgHTp0KNSyefHFF5k9ezZPPfUU/fv3\nB6x765FHHslXhEuXLmXr1q0MHjy45BcsyjhLpDTUrg01a8Kbb8ZbEofjhOWll17iqquuokuXLqSk\npPDAAw8wb948NmzYQEZGBqtXr2bnzp3MmjWLq6++mq1bt7J//35mzpxJnz59it1ebm4ub7zxBvfe\ney81atSgY8eOjBkzJn//e++9R6tWrRg3bhyVKlWiS5cuXHzxxbz++uvFbuuCCy5g9erVrF69GjBF\nM2LECKpUqVLsumKFs0RKgwgMHgyTJ1uXVsWK8ZbI4YgqpbEQyopt27bRpUuX/O81a9akfv36bN26\nlVatWtGtWzdmzpzJrFmzuOOOO1iyZAlz585l5syZ+W/4xeGHH37g6NGjtGjRIn9by5Yt8z9v3LiR\nL774gtTU1PxtR48eZfTo0cVuKyUlheHDhzNx4kTuvvtuXn755RIpo1jiLJHSMmwY7NgB8+fHWxKH\n44SkadOmbNxYkKgvOzubnTt30qxZMwD69OnDtGnT+PLLL+nevTt9+vRhypQpzJ8/n969exe7vYYN\nG1KpUiU2b96cv21T0BD/Fi1a0KdPH/bs2ZO/7N+/nyeeeKLIusNNEBwzZgwvvfQSn376KdWrVycj\nI6PYMscSp0RKyznnQIUK8MEH8ZbE4Sj35OTkcOjQofzl6NGjjBw5kmeffZYlS5Zw+PBhbr/9ds48\n80xatWoFmBJ54YUXaN++PVWqVCEzM5OnnnqK1q1b07Bh8dOMV6xYkYsuuojx48dz4MABVqxYwfPP\nP5+//7zzzmPVqlW8+OKL5OTkkJOTw4IFC/jmm2+KrLtx48bHzUXJyMigQoUK/Pa3vy2RNRNrnBIp\nLXXrQs+e8P778ZbE4Sj3DB48mGrVquUv48ePp1+/ftx3331cfPHFnHTSSaxdu5ZXXnkl/5iePXty\n8ODBfKujffv2VK1atURWSIDHHnuM/fv306RJE8aOHcu4cePy99WqVYupU6fyyiuv0LRpU5o0acKt\nt97K4cOHi6z3tttu4/777yc1NZWHH344f/uVV17J119/zahRo0osc6wQVY23DElLt27ddOHChfDg\ng3DbbbB1KzRtGm+xHI4S880339CuXbt4i+EI4YUXXuDJJ59kzpw5xTou0u8pIotUtVs0ZHOWSDQY\nMsTWH34YXzkcDke548CBAzz++ONcd9118RYlLE6JRIOOHaF583LdpZWdDT6scYfDEUWmTJlCw4YN\nady4MSNHjoy3OGFxSiQaiJg18vHH5e5Ju24dDBxo02Fq14Zf/AL274+3VA7HicE555xDdnY2kydP\nDjvpMRFwSiRaDB5sT9di9lkmMps22ZiBBQvgrrtg3DiYMMGUyoED8ZbO4XAkAomp2pKRfv0gJcW6\ntPr1i7c0peboURg50pTFF19AwDfXvz9ceqmNI/j73+Mro8PhiD/OEokWNWrA2Wdbl1Y54LHHYO5c\n+M9/ChQIwCWXwK9/Df/4B3ghiBwOxwmMbyUiIp1FZJKIfCciR0Ski7f9fhEZGDsRE5cffgjZMHAg\nLFsGXgTRZGX/fnjgATOoLr/8+P0PPggtWpg14kaIOxwnNr6UiIj0BL4A0oE3geAgURWAX0RftMRn\n166QDQMG2DrJksqE8vjj8P33cN994fdXrw533gnz5sGUKWUrm8PhSCz8WiJ/Bj4F2gE3AsEBXhYC\nXaMsV1Jw6FDIhvR0aNgQpk6NizzRIC/PlEhWFhQWomfsWEvm+OCDZSaaw1EkHTp0YMaMGb7KFjeL\n4J133kmDBg1o0qQJmzZtombNmuTm5oYtO378eN+zywNhWMAiEg8cmFwdO36VSFfgX6qaB4R2YPwI\nNI6qVEnC0aNwTD6bChXM8/zJJ/Y0TkKmToWNG20ob2FUqQL/8z/mF1m5smxkc5zYhHvoh+Y2X758\nOZmZmVFve/PmzTzyyCOsWLGC7777jpNPPpn9+/dTMcqRu6+44gqmBr2EBifCSlT8KpHDQLUI+5oA\ne6MjTvIRlB7ZGDjQovp+/XVc5CktEyaYMXXhhUWXHTcOKlc257vDUZ7ZuHEj9evXp1GjRvEWJeHw\nq0TmADeKSHD5gEVyFTA9qlIlEce9hQf8Ikk4SmvfPhuhPHKkWRpF0bixRcJ/8UXIyYm9fA5HUQRb\nKwcPHmTMmDHUrVuXdu3a8Ze//CU/FW2AJUuW0LlzZ+rUqcOIESM4dFwfNXzyyScMGDCAbdu2UbNm\nTcaOHcuGDRsQEY4ePQrA+vXr6dOnD7Vq1WLAgAH8+OOPx9Tx+eef07NnT1JTU0lPT4/Y5RZsWQUC\nRKanp1OzZk1effVVOnbsyLvvvptfPicnhwYNGrAk1uknC8HvPJE/YIrkS+A1TIGMEpG/AGcBPWIj\nXmIjEsYSadYM2re3fqFbbomLXCXlvfdswv2ll/o/ZuRImDQJpk2zqPiOckYy5MeNwD333MOGDRtY\nt24d2dnZYVPKTpo0iY8++oiqVavSq1cvnnvuOX4R0pfbv39/PvzwQ0aNGsWWLVsA2LBhwzFlRo4c\nSUZGBlOnTuWLL75gyJAhXHDBBQBs3bqVIUOG8OKLLzJo0CA+/fRTLr74YlauXFloKPpZs2YhIixd\nupQ2bdoAZhFNnDiR888/H4APPviAk046iTPOOKPE16m0+LJEVPVLIBPYA4zHHOu/AaoCWapadKB8\nDxFpISKvi8heEdknIm+KyMk+j60qIg+JyHYROSgi80TkuHjOIlJBRG4TkQ0ickhElorIxSFlThKR\nB0RkoSfLDyLyabj6IpGSEsEfMHAgzJ4NBw/6rSoheP11OOmkwh3qoQwaZOFQXn01dnI5HAEuvPBC\nUlNT85df/vKXEctOmjSJ22+/nbp169K8eXNuvPHG48rceOONNG3alHr16nH++eeX6I1+06ZNLFiw\ngPvuu4+UlBR69+6d/5AHmDhxIoMHD2bw4MFUqFCBAQMG0K1bNz4oQQ6iUaNG8cEHH7Bv3z7A0uXG\nO8eI7xnrqroA6CMi1YEGwG5V/ak4jXnHTsN8LGMwi+Z+YLqIdFbV7CKqeBoYAvwfsA64AZgiIhmq\nGvzr3wfcAtwBLAIuA14TkfNUNfDLdQVGAM8CnwNVgF8CM0RkqKq+V9T5VK0axhIB69J69FELgRLo\n3kpwDh60IMRXX23jA/ySkmL+k7fegn//2183mCOJSLD8uG+//Tb9+/fP//7cc8/lj2wKZdu2bcek\nsA3+HKBJkyb5n6tXr862Eszx2rZtG3Xr1qVGjRr521q2bJmf+XDjxo289tprx3VDZWVlFbutpk2b\n0qtXL9544w2GDRvGhx9+yN/jHDqi2GFPVPUAsKnIguG5FjgFSFPVNQAi8hWwGrge+GukA0UkHRgJ\nXKWqz3rbZgLLgXuBod62RpgCeVBVA1ldpotIG+BBIKBE5gCnq+rRoDamePX9DvClRNassVFax8RG\n69PHnqYff5w0SmT2bBuyfN55xT/24ovhhRdshnsJ/hcOR0w46aST2LJlC+3btwc4Jp1ttNvZvXs3\n2dnZ+Ypk06ZN+aluW7RowejRo5kwYUJU2hszZgxPPfUUR48eJSMjIz8NcLzwO9nw9iKW23y2NxT4\nPKBAAFR1PTAXuMDHsTlAfseJpwBeAc4RkRRv8zmYVTEx5PiJQCcRae0duydYgQTVtwTw9aukpJhD\nef36kB01alif0LRpfqpJCKZONb1XkmRvffvasS5DsCORGD58OA888AC7d+9m69atPPbYYzFpp2XL\nlnTr1o27776bI0eOMGfOnGOsjlGjRvHuu+8yZcoUcnNzOXToEDNmzMj3rxRGuHS5F154IYsXL+bv\nf/87V155ZdTPp7j47bi4v5DlPm/thw7AsjDblwPtfRy73rOEQo+tArQJKncYCB1cvdxbR2xHRKoA\nGYAvH081b9Bz2C6trCxYvDhkIkniMnUq/PznNhu9uNSsacaXUyKOROIPf/gDzZs3p3Xr1vTv359L\nLrmElJSUog8sAf/973/54osvqFevHvfcc88xD/cWLVowefJk/vSnP9GwYUNatGjBQw89RJ6PuWTj\nx49nzJgxpKamMmnSJACqVavGxRdfzPr167noooticj7FQlWLXLAwJ6FLI2x471fAqT7rOYJ1M4Vu\nvx84WsSxUzErJnR7f8y38nPv+5PAd2HKtfHKjS6kjT8BeYG6IpS5Dpulv7B581YKqg8/rMcza5Yq\nqL79dpidicW2bSbqn/9c8jr++lerY/36qInliAMrVqyItwgx4/HHH9fevXvHW4yocM899+gVV1xR\nZLlIvyewUH08s/0sfkdn5YZZvlfVZ4DngOJ4dsKF7JMw28KV8XOs33LH7hQZCfweuE9VZ0cqp6pP\nqmo3Ve3WuHF9GjSIMELrzDPNVEmCLq3AJODSuG8CoyddhmBHorB9+3bmzp1LXl4e3377LY888gjD\nhg2Lt1ilZteuXTz99NMJky43GqHglwB9fJbdDdQLs72ut68wdhVybGB/YF1XAl6tyOXyEZHzMWX4\ntKreXYQcx9C2bYTurCpVLDR8EiiRqVNtlnp6esnrOP10OOUU16XlSByOHDnC9ddfT61atejbty8X\nXHBBoUOCk4EJEybQokULzj333PzJiPEmGkmpzgV2+iy7HPNZhNIeWOHj2GEiUl2P9Yu0x7rJ1gSV\nSwFO5Vi/SMAXckw7ItIPm0D5FjZCrFikpUGQD+1Y+va1eOnffw8JGi5B1fRcv37FG9obiojNGXn+\neRtsULly9GR0OEpCy5YtWbYsnAs2ebn22mu59tpr4y3GMfgdnfVkmOU5EVkI3Aw847O9d4CzROSU\noLpbAb28fUUdWxnIn08tIpWwuR5TVTWQ3PwjTKlcEXL8KGCZ2miwwPEZwGQsQvEotQCTxaJtW9MR\nYf3nffva2mdU0XiwcaOlPwmKYVdiMjMhO9vGEzgcjhMDv5bIYI73MxwCNmJv736VyATgV8BkEbnT\nq/M+YDOQH8ZPRFoCa4F7VfVeAFVdIiKvAo+KSGVgPfA/QGuCFIaqfi8ifwNuE5GfgMWYoulL0DBi\nEWkLvI9FIX4I6BrcA6aqn/s5obQ0W3/7LZx1VsjOLl1sOve0aTB8uJ/qypy5c23dq1fp6wpY1zNm\nmEvIkZyoKsf3BjuSDT+jv6KBLyWiqs2LLuWrnmwR6Qv8DXgRc3Z/CvxGVfcHFRVsBFiopTQO+CM2\nmisVWAoMUtXQd987gP3ATViU4W+B4aoa3PF0FuYnqUv4AJK+/kUBJbJyZRglUqmSPVkT2C8ydy7U\nqgWdOpW+rsaNzTKbORNuvbX09TnKnqpVq7Jz507q16/vFEmSoqrk5OSwY8eOY2bRx4po+ESKhapu\nAi4uoswGwjzEVfUg1n12cxEWd9JyAAAgAElEQVTH51IwjyVSmecwZ3qpaN3a+v/DOtfBurTeew+2\nbIHmUdHFUWXuXFN+0UqLkJkJL70UZha/Iylo3rw5W7Zs4Yfjcj87kolKlSpRp04dGjRoEPu2Iu3w\nUuL6RlU/K704yUflynDqqUUoEYDp0yHOgdJC2bvX0p5Ec75Snz4WQ2vJEujWLXr1OsqGypUr07p1\n63iL4UgiCntXnEP4+RahBOZlRDfFVxKRllZIdr9OnaB+fevSSjAl8vnnNjorGv6QAH28wd4zZjgl\n4nCcCBSmRJIjcmAC0LatzY8I24VToYL18UybZk/sBOpnnjvXxIumE/ykk+C002DWrKRLp+JwOEpA\nRCWiqp+WpSDJTFqazY3YsAHatAlToG9feOMNWLfO+r4ShM8/h86dzbEeTXr1MjdQgulMh8MRA6Ix\nY/2Ep21bW0fs0gr2iyQIqrBwIXTvHv26zzoLfvzRdKbD4Sjf+FYiItLOyyr4johMDVmmxFLIRCd4\nrkjEAk2aJNRQ3/XrbYJkLPwWgcyI8+ZFv26Hw5FY+J2x3h2btDcMyyzYBAsj0h9oB1SLlYDJQL16\nRA7ECNan07dvgV8kAVi40NaxUCIdOlh4+M99Tdd0OBzJjF9L5AEs7EhbbDTWWG8C4iBsVNZdsREv\neYgYiDFAVhbs2FGIpilbFiywpFodO0a/7ooVoUcPZ4k4HCcCfpVIOvA8lmsDvOG8qjoVm0H+5+iL\nllykpRWhRDIzbZ0gcbQWLrSovbHKiZ6RAUuXwoHQFGIOh6Nc4VeJVAH2ewEKd2HdWQG+AaIQNCO5\nSUsrJBAj2Kis5s0TwrmelweLFsV2HsdZZ0FurrXjcDjKL36VyFoK8o5/DYwTD2AMsCMWwiUTgRFa\nEa0REevSmjEj7n6R1avhp59ir0TAdWk5HOUdv0rkfaCf9/kB4DxgDxYBdxTwaPRFSy6KHKEFpkR+\n+AGWLy+kUOxZsMDWsRjeG6BBA0tSFXDgOxyO8onfKL53BX2e6sXVugSoDnykqid8PrtAIMZC/eZZ\nWbaePj02Hm2fLF4MVasWWE+xomtXp0QcjvJOREtERCIO21XVhar6e1W90SkQo8hAjACtWtkSZ+f6\n0qWmw2IdZbdrV5uPsuu4hMQOh6O8UFh31g4ReUZE/OZPP+EpNBBjgMxMUyJllDAmFFVTIqXJp+6X\ngM/FZTp0OMovhSmRyVgq2mkiskFE7hWR08pIrqSkbVtYs8YCMUYkK8tezb/+uszkCmbbNti5E844\nI/Ztdelia9el5XCUXyIqEVUdjQ3lvQobnXU7sFJEPhOR60QktYxkTBqCAzFGJNgvEgeWLrV1WVgi\ndeuac90N83U4yi+Fjs5S1WxVfV5V+wEtsbSztYF/A9tEZJKIDBERF8iRY1PlRqRFC3OexFmJdO5c\nNu117eqUiMNRnvH98FfVrar6oKp2BHoAE4A+WDiUrTGSL6nwNcwXzBqZNctm45UxS5eab79OnbJp\nr1s3c67v3Fk27TkcjrKlRBaEqi4E3gQC0XsbRU2iJKZ+fZsfUaQSycyEPXsKzIIyZMmSsunKCtC1\nq62dc93hKJ8US4mISJqI3C8iG4BpwPnA00DvGMiWlLRtC998U0ShOPlFDhyw2eplqUQCznXXpeVw\nlE+KVCIiUl9EfiUiXwArgFuxeFlXACep6nWqOjfGciYNHTvCsmVFRDZp2hROP73MlciyZTayuCyV\nSN265gJyI7QcjvJJYZMNLxGRycA24B/Y7PTfAyer6rmq+oqqHiojOZOGTp2sp2rLliIKBvwihY4H\nji5lOTIrGOdcdzjKL4VZIpOAnsB/gO6q2klVH1LV7WUjWnLSyYtnXOQ0kKwsi4L45ZcxlynA0qWW\nLKp16zJrErAurQ0bColw7HA4kpbClMhFWHfVjarq3iN94luJ9PECAZRhl1ZgpnqFMh6QHbB8vvqq\nbNt1OByxp7DJhm+ratn1tZQTUlNtKkiRD8wmTaBduzJTIqomU1l3ZUHB7Pg4DEZzOBwxxk0SjAGd\nO/uMapKVBbNn2zT3GLNhA+zbFx8l0qQJNGpkw4sdDkf5wimRGNCpkw3zPXKkiIJZWZCdXSZDlwIP\n8HgokUC7zhJxOMofTonEgM6dbdCVr0mHUCah4ZcuteSK8UpjcsYZNsS4DIwuh8NRhjglEgMCzvUi\n/SINGljhMvCLLF0Kp50GNWrEvKmwpKebZVakYnU4HEmFUyIxIC3NklT5Go2UmQlz5/ro+yodZZVD\nJBIB57rzizgc5QvfSkRExojIRyKyQkTWhSxrYylkslG5snUb+ZoCkpVl8Ujmz4+ZPPv2WRDEeCqR\ntDRISXF+EYejvOErQaqI3AXcAywDlgCHYylUeaBLF3j7bRtaK1JIwT59rMD06XD22TGRJWARxVOJ\nVKpkitVZIg5H+cKvJXI18HdV7ayqI1V1XOgSSyGTka5dLfz5pk1FFKxXz57uMfSLBN7+yyKbYWEE\nRmgVGlfM4XAkFX6VSH3g3VgKUt4IhED3FTMqKwvmzYNDsQlFtnSp6apmzWJSvW/S0+GHH2C7C5zj\ncJQb/CqRmUAcO0OSj86drQvHlxLJzDQF8sUXMZElkEOk0G61MsDNXHc4yh9+lchvgHEicqWINBCR\nCqFLLIVMRqpWhQ4dfCqR3r0toFUMurRyc21+Rjz9IQECKXmdX8ThKD/4ffivAjoCzwI7gJyQJbbj\nU5OULl1MiRTpA0hNhZ/9LCZKZPVqOHgwMZRIaqql5nWWiMNRfvA1Ogu4F3Du0GLStSs8+6zlFmnR\noojCWVnwj3/YE79atajJEK8cIpFw4U8cjvKFLyWiquNjLEe5JNi57kuJPPywOdj79o2aDEuXmm+m\nffuoVVkqzjgD3n3XpsZUrx5vaRwOR2kpti9DRGqKSAsRiVMAjeQhPd0e4L785WefDRUrRr1La+lS\ny/uekhLVaktMerql6F22LN6SOByOaFCcGevniMhCYA+wAdgrIvNFZECshEt2qlWzN+9583wUrl3b\nTJcYKJFE6cqCAlmcc93hKB/4UiIicg7wPlATuA/4JXA/UAv4wCmSyGRkwIIFPlOpZ2VZ+JPs7Ki0\nvXMnbN2aWEqkVSvTl84v4nCUD/xaIuOBqUB7Vb1HVf/j+Uk6AB9jIVEcYcjIsP5/30mqcnIsIGMU\nSDSnOthI5s6dnRJxOMoLfpVIOvAvVc0L3uh9fxyIc0CNxCUjw9a+urR69TInSpTyiySiEgGT56uv\nzDficDiSG79K5DBQO8K+WriAjBFp2dLSw/pSIjVrQo8eUfOLLF1qbTduHJXqokZ6Ovz0k6XsdTgc\nyY1fJTIDuE9EWgdvFJGTsa6u2GdVSlJEzBrxpUTAQqAsWGBP2VKSaE71AAGZXJeWw5H8+FUitwJ1\ngG9FZJaIvCoiM4HVQKq33xGBjAxYuxa+/95H4awsi1UyZ06p2szJgRUrElOJdOhgytUpEYcj+fGl\nRFR1FdAZ+AeQAnQBqgJ/B85Q1dUxk7Ac0LOnrX35y3v2tKxWpezSWrnSkiUmohKpUcNS9Tol4nAk\nP37DnqCq24FbYihLuaVbN5szMnMmDBtWROHq1eGss0rtXE9Up3qA9HRYuDDeUjgcjtLiou+WASkp\n1qXlWy9kZVmslL17S9zmkiXWblpaiauIKenplrJ33754S+JwOEpDRCUiItNEpG3Q58KWT8tO5OQk\nM9OGte7a5bNwXh7Mnl3i9pYuNd9DJd+2ZtkSsJACqXsdDkdyUpglEpzCqIL3PdLiLJoiyMy0kPC+\n9EJGhpkRJfSLqJoh06VLiQ4vE5wScTjKBxHfU1U1K+hzZplIU47p0cMSVc2YARdcUEThqlVNkZRQ\niWzYALt3my8mUWneHOrWdc51hyPZ8Rs760oRqR9hXz0RuTK6YpU/An6RmTN9HtC3rzk2du4sdluB\nbIqBUPSJiIjLLeJwlAf8dkM9C5waYV9rb7+jCDIzTS/48osMHGj9Up8W3920aJGNEu7UqdiHlinp\n6RZTLDc33pI4HI6S4leJSCH7agB+YtSe8PTvXwy90K2b5ZOdOrXY7SxcaAokUXKIRCI93YJTrl0b\nb0kcDkdJiegTEZEzsEmFAc4XkY4hxaoBl2Ez1x1F0KMH1KkDU6bApZcWUbhiRdM6U6aY5pHC9HgB\nAaf6JZeUXt5YExz+5PTT4yuLw+EoGYVZIhcAT3mLAncEfQ8s/wTaArf7bdDLivi6iOwVkX0i8qYX\ng8vPsVVF5CER2S4iB0Vknoj0DlOugojcJiIbROSQiCwVkYvDlBsjIm+IyEYRURF5zu95lIRKlY7V\nC0UycKAlaF+50ncbyeBUD9C+velK5xdxOJKXwpTIo5i/4xSsO+si73vw0hRopKrv+GlMRKoD0zDF\nMwYYDZwGTPeZbvdp4FrgD8B5wHZgimc1BXMfFhjyMeBc4HPgNREZHFJuFObr+Rgok2lvxdILA7xc\nX8Xo0grMAk9kp3qAqlVtMqRTIg5H8lLYEN+9wF4AL3rvdlU9Usr2rsWUUpqqrvHq/grrDrse+Guk\nA0UkHRgJXKWqz3rbZgLLgXuBod62Rlh4lgdV9WHv8Oki0gZ4EPggqNpzAjlSRGRQKc/NF+ecY+sp\nU6BduyIKt2pl/TxTp8JNN/mqP+BU7xja8ZigpKeXOtakw+GII34DMG6MggIBe9B/HlAgXt3rgblY\n91lRx+YArwYdexR4BThHRAJu5HOAKsDEkOMnAp2Cw9mHJtkqC1q2tLfvKVN8HjBwoE0uOewvZcu8\neTbJMNGd6gHS02HzZp8j1hwOR8JRWNiTXBHp4X3O875HWvyOzuoALAuzfTnQ3sex61X1QJhjqwBt\ngsodBtaEKYePdmLOoEGmF3ylUh840IYwffZZkUVzcixFeyBqcDLgZq47HMlNYZGV7gW2BH324wou\ninrA7jDbdwF1S3FsYH9gvUf1ONd1aLkSISLXAdcBnHyyr/EAxzF0KPz97/Dxx3DhhUUUzsw0j/zU\nqRaYsRCWLIFDhwpS8iYDwUokMzOuojgcjhJQmE/knqDP46PYZjhl5Gf8qvg81m+5EqGqTwJPAnTr\n1q1EivXnP7cpIO+840OJ1KplpsXUqfDAA4UWDRgryaREmjSBhg2dc93hSFZKHDjRC3fSNcgX4Yfd\nhLcE6hLeyghmVyHHBvYH1nVFjptYEVoublSuDIMHw3vv+ZytPXAgLF4MP/xQaLHPPoOTT7a4VMmC\nC3/icCQ3fmNn3SkiDwR97w1sAOYDq0XkNJ/tLcd8FqG0B1b4OLa1N0w49NgjFPhAlmPZF0PDtAR8\nIUW1UyYMHWo64fPPfRQeONDWn3xSaLHPPksuf0iA9HRYtgyOurgHDkfS4dcSGQWsC/r+F2ApcCGw\nA5uX4Yd3gLNE5JTABhFpBfTy9hV1bGUgf663iFQCRgBTVTUwfOkjTKlcEeYclnmjweLOoEFmkUye\n7KNwly5Qrx589FHEIps32/yTZFUihw/DqlXxlsThcBQXvymLmuGFNhGRhkB3oJ+qzhCRKljudT9M\nAH4FTBaROzHfxX3AZuA/gUIi0hJYC9yrqvcCqOoSEXkVeFREKgPrgf/BJj3mKwxV/V5E/gbcJiI/\nAYsxRdOXkGHEItKeAgulGtBSRAIBQ2aqauH9R6WgTh0L1Pv66/DnPxcR1aRiRZtg8tFHlqyqwvG6\nP5C/PZn8IQGCw5+0j/vYOYfDURz8WiK52DBagN7AIWxuB8AP+BzxpKrZ2MN8FfAi8BKmDPqq6v6g\nogJUDCPfOCxi8P3A+0ALYJCqLg4pd4dX5iZgCmbpDFfVd0PKDQde85Z6QGbQ93DdblFlxAhLEbtg\ngY/CQ4bA999HTEw+fTrUrg1nhM7dTwLatjWrzPlFHI7kw68SWQ6MEpGawFXYW3qOt68F8L3fBlV1\nk6perKq1VbWWql6oqhtCymxQVQkdFaaqB1X1ZlVtoqpVVfVMVZ0Rpo1cVb1fVVuqaoqqdlbV18OU\nG++1E245rt5oM2yYPTxfecVH4UGDzAJ5//2wu6dNgz59EjcdbmFUqWIWiFMiDkfy4VeJ3Iu9te8F\n+gF/Dto3GOsychST1FQ491yYNMl6qQqlfn0466ywSmTTJlizBvr1i42cZYEboeVwJCd+w55MAdph\niqSDqgbn55vFsUrFUQwuuwy2bi3waRTKkCEWHGv79mM2B/KTJLMS6dzZTquIUcwOhyPB8D1PRFXX\nq+obqro2ZPt/VNXPQFVHGM4/H6pXhxdf9FF4yBBbf/jhMZs//hgaN4YOMffixA4X/sThSE4Ki53V\n2/OBBD4XupSdyOWLmjVh+HB4+WXYv7+Iwp0720zCoC6tnBzTKYMH+85blZAEj9ByOBzJQ2Fu2BnA\nWdiEwhlEjp0VCDNSMZqCnUhcey0895w52K+5ppCCIqYtXn4ZjhyBKlWYMwf27LHJi8lMw4Zw0kkW\n/8vhcCQPhSmRLApmdxce+c9RKjIybHTShAlFKBGwLq0nn4TZs6FfP95918K+B/JXJTNdulh0F4fD\nkTwUFoBxZrjPjugjYsrj5putOyfQtROWfv1Ma7z3HnlZ/XjrLdtUw09eyASna1frmsvOLh/n43Cc\nCJQ4AKMjulx5JVSrBo8+WkTBGjVsqvvkycydo2zYAJdfXhYSxp6uXW2os+vScjiSB78BGKcVsXwa\na0HLO/Xrw9VXw0sv2ZDfQhk2DNavZ/rfv6JGDftaHujWzdaLFsVXDofD4R+/lkgFzIEevDTAwomc\nTpRydZzo3HyzhYZ/5JEiCl5wASpCyvtvcvHF5afrp2lTyy/ilIjDkTz4nWyYqapZIUtnLHjhbuBP\nMZXyBKF1a+vW+te/bBZ6RBo1Ylvrszn38Ftcf32ZiVcmdO0aMTyYw+FIQErlE/EmHj4IPBQdcRz3\n3GOO9jvuiFwmJwee3jWMznxNz8ZrIxdMQrp2hZUrfeafdzgccScajvUfsC4tRxQ4+WS45RaYOBE+\n+CB8mcceg2f2eI6Qt94qO+HKgG7dnHPd4UgmSqVERKQecDOW+8MRJe66y0KYXH01bNx47L716+HO\nO6HjkFboz35W7pRI1662dn4RhyM58Ds6a72IrAtZtmBZDfsBd8ZUyhOMlBSbvX7okE0iXOMl/t28\n2WJtVaoETzwBMmyY5cQNCciYzASc684v4nAkB34tkZlhlneBu4C2qlpUaltHMenY0UJk/fCDzWbv\n0QPS0swyefttaNECuOgiK+wrx27y0LWrs0QcjmTBVwojVR0bYzkcYejZE77+2iYgLlkCY8fCb38L\np57qFWjfHk4/Hd54A37xi3iKGlW6dbOZ6/v3W4BKh8ORuCRhHrwTi+bN4eGHI+wUsRDAf/oT7Nhh\n8eDLAT16mHN94ULIzIy3NA6HozB8KRER+UMx6lRVva+E8jiKy+WXw/33w2uvwa9+FW9posKZZ9p6\n3jynRByOREdUI0V4DyokkoeFew83Mz10u6rqCREWvlu3browETzAnTtD7dowZ068JYkaaWm2vOO8\nbQ5H1BGRRaraLRp1+XWsdwTWA78HWgHVvPVt3vb2qlrBW04IBZJQXH655dctdJp7cpGRYZaIj3cc\nh8MRR/wqkceAp1T1L6q6SVUPe+s/A08D/4qdiI4iGTHC1q+8El85okhGBvz4I6x1M5AcjoTGrxI5\nE4jUb7MAy4DoiBennGKOhHKmRMCsEYfDkbj4VSJ7gUi58wZ6+x3x5LLL4MsvYcWKossmAR06QK1a\nTok4HImOXyXyDHCLiPxLRDJFpJ23fhwLe/JU7ER0+GLkSJvK/txz8ZYkKlSsaEN9nRJxOBIbv0rk\nD1i49yuBT4FlwDRgtLd9fCyEcxSDRo1g8GB48UU4ejTe0kSFjAz46iubdOhwOBITv/lE8lT1LqAF\nkAlcDvQBmqvqH1Q1L3YiOnwzbhx89x189FG8JYkKGRk26XDBgnhL4nA4IlGsKL6qukdVZ6vqJG/t\nfCGJxJAh0LAhPPtsvCWJCmd5wzU++yy+cjgcjsj4jeJ7q4j8M8K+f4jI/0VXLEeJqFwZRo2Cd9+1\n8bFJTr165mCfOTPekjgcjkj4tUTGAV9F2LfE2+9IBMaOtdSHL70Ub0miQlaWzaM8ciTekjgcjnD4\nVSInA6sj7FsHtIyOOI5S07mzDWv697/LxXTvrCw4cMD5RRyORMWvEjkANIuwrzlwODriOKLCDTdY\novJp0+ItSanp08eCFU+fHm9JHA5HOPwqkdnA/4lISvBG7/tvvf2ORGH4cGjQwJKxJzn165tx5ZSI\nw5GY+FUi44HTgFUi8kcR+aWI/BFY5W0vTqh4R6ypWhWuucZC4JaDoIyZmTZC67Czdx2OhMPvPJGl\nQBawEbgVC8h4KxbBN9Pb70gkApkO//3v+MoRBbKyLN/855/HWxKHwxGK73kiqjpfVXsDtTA/SC1V\nzVTVBEio4TiOli3h/PNhwgQ4eDDe0pSKzEwLg1JO5lA6HOWKYk02BFDVg6q6TVUPAohIHxF5Jvqi\nOUrNzTfbfJFnkvvnqVMHzj4bPvgg3pI4HI5QfGU2PO4gkTZYHK3R2PDeA6paM8qyJTwJk9kwEqrQ\nqxds2warV9tkxCTloYfgd78zF0+LFvGWppTk5cHGjbB5M2zfbr/PDz+YxXj4sC0iUL26Lamp0LSp\nLa1aQevWZpo5HCUkmpkNfeVY9xqtA4zAlIeX7YGlwIPAy9EQxhFlROC222DoUJg0Ca64It4SlZgh\nQ0yJfPABXH99vKUpBjk5sHSpjQxYtAiWL4dvvrHJL8FUqgTVqkFKii2qplQOHDh+REHVqtC2rU3n\n79HDzLT0dKdYHHGhUEtERCoAgzDFMRSoCmwD3gRuALJUdVYZyJmQJLwlAvbW27mzKZSlS6FCsXsw\nEwJVewFPT4fJk+MtTSGowrJlpu2mTIEvvihQGE2aQMeO9vDv0MGsipNOMgujbl37jcKRnV1gsaxd\na4po+XL4+mvYutXK1KoFPXtaJOfzzrNEZQ5HBKJpiURUIiLyMHAF0Ag4BLwNPA98AtQGdmEjs5wS\nSXQmToTRo+Htt+GCC+ItTYm54QZLl7Jzp72MJww5OfDpp/DWW6Y8tmyx7enp0Lu3dSn27BmbfrjN\nm2HOHJg92yaXfvutbW/XDi680PLMdOwY/XYdSU1ZKZE8QIEPgLGqujNoXx1gN06JJIcSycmxN9+U\nFFiyJGm7PT76CM49N0F0YV6ePbxffhlef90GMNSqBQMHmpCDBkGzSEEeYsiaNfD++xaEc8YMyM01\nJTJyJFx+uVk/jhOeaCoRVDXsgmUr3APkAT9ic0N6ePvqeNt7Rzr+RFi6du2qScOrr6qC6nPPxVuS\nEnPkiGqDBqojRsRRiHXrVO+4Q7V5c7ue1aurXnaZ6ttvqx46FEfBwrBjh+pjj6n27GmygurAgaqv\nv24X03HCAizUKD0Hi/KJVAUuAsYA/QDBZqm/hU02dD6RZLBEwN6czzwTvv/eujwSqj/IP7/8pXVp\nff891Cyr8YA5OTb7f8IEmDrVfBeDBlnY/fPPL0NBSsH69fDCC/D009YF1rixJTG75ho49dR4S+co\nY8rEEgldgJMwxbEMs0LygM+AUUDVaGm1ZFqSyhJRVf3kE3sb/etf4y1JiZk9205h4sQyaGzLFtXb\nb1dt3Ngabd5cdfx41U2byqDxGHH0qOp776kOHapaoYKd14ABqm+9pZqTE2/pHGUEZWWJFKLFumPW\nyQigPrBXVetGRaslEUlliQQ45xyYP9+skUaN4i1NscnLs279Tp2s6z8mLFwIjz4Kr75qPoXzzrNx\nxYMGcSS3IpUrRx5IlVRs3WoTUZ980gYDNG9u53nNNTaSzFFuiaYlUqLxnqq6QFV/BTQFLgFc7rlk\n4dFHbcjorbfGW5ISUaGC+YinTCkY3RoVcnPhjTdszkX37vDOO2Rf9Wte+MMaLk15h1NvHEK1mhVJ\nSbFxCfXqWe/gNdfY4LeoylJWNGsGd91lXV1vvWUjuu66y0aRjRhhKSVL8JLpOLEokSXiMJLSEgGb\ngPjggzBrFvz85/GWptisXQunnWbPu3vuKWVle/ean+Cf/4QNG6B1azZdeCO/W3kVr02pnW/5dO9u\n4chSUy0Y5M6dsGoVLF4Mu3dbVT162HzOESPM5ZCUrFplQTuffRb27IH27c0RNXo01K4db+kcUSIu\nPhG3lAOfSID9+1VbtlRNS1PNzo63NCVi8GBzVRw+XMIK1q5VvfFG1Zo1zS/Qu7fuevpNHXHJUQXV\nevXMHbJ8eeHV5Oaqfvml6oMPqp5xhlVVoYLqsGGq06ap5uWVUL54k52t+swzqt262UnVqKF6/fWq\nS5bEWzJHFCCKPpG4P4iTeUlaJaKq+umn9vPfeGO8JSkRH31k4k+YUIyD8vLMMz9smKqIauXKqqNH\na96ChfrMM6qpqaopKar33KO6b1/J5Fq+XPXWW1Xr1zf5OnZUffJJ1YMHS1ZfQjB/vuq4capVq9pJ\n9eql+tJLiTek2eEbp0QSZElqJaJqCgRUp06NtyTFJi9PtXt31VatfFgjR46ovvyyHRBsZmzdqtnZ\nqqNH2+Y+fVS//TY68h04YC/yAeukSRPVv/yl5MopIdi5U/WRR1TbtLGTathQ9fe/V12/Pt6SOYqJ\nUyIJsiS9EsnOVm3f3mbwJeGw1ffftzv4n/+MUGD3btWHHlJt0cIKnn666uOPW3eeqq5apdqpkxkl\n99xjXVPRJi/PjL7+/U2E1FTVO+9U/f776LdVZuTm2ovHhRda352I6nnnqX7wQWwuoiPqOCWSIEvS\nKxFV1ZUrVWvVUu3RI+m6J/LyVPv1U61dW3XbtqAdof6OrCzVd9895gH35pt2XP361jVWFsyfbz1p\noFqtmom4cWPZtB0zNm0yrRiYS9O6tTmINm+Ot2SOQnBKJEGWcqFEVO2JCqrDhyfdm+SqVebHGHJu\nrh5970PV88+3N+NKlfTwqsAAABK2SURBVKyfavHiY8ofPqx60012uj16xOchvmKF6pgxJmKlSvb5\n66/LXo6ocviwhdbp08curohqZqY5hHbujLd0jhCcEkmQpdwoEVXrsA842pNpSNHOnTr3ood1Naeq\nguY1amSxrbZsOa7oqlUFg41uvDH+htfGjaq//rWF3wLVQYMsqEAyXf6wrFpl/YNpaXZilSubcv/v\nf1X37o23dA51SiRhlnKlRPLyVP/3f+2W+M1vEvtJlpenumDBMSOGVjc5Wy/jv3r9uMPHOa/37DG9\nUqWK+STefDM+Ykfixx9V77+/oEfojDMsrEvSx0jMyzNL8JZbVJs1s5OrUkX1nHNUn3hCdevWeEt4\n4rF7t+r8+U6JJMpSrpSIqv3pA309V11VikkYMWLHDhsd1LGj5kfQve461SVLNC9P9bbbNH/Q0FVX\n2cChiy6yKQ6gOmpUiO8kwTh4UPWpp1TbtdP8UF0PPKD63XfxliwK5Oba8OpbbikY3QU2Ym78eNU5\nc8qB1kwwDh5U/ewz1UcfVb38ctVTTsm/7tFUIm7GeilI2hnrhaEKd98N991nIUBefz2+06+PHIEP\nP7QZ1O+/D0eP2tTwceMsP0adOscUnz8f/vxnS6Xx008WDqp/f/jFL6BLl/icQnHJy7NTfuQRmD7d\nMudeeKGFterbN2mTUxagaimCJ0+2Zf5821arFmRm2g/Wr5+FYfF5srm5sGOHhQDbutWiCOzZY0vg\nc3a23U6hS26uNVOhgoW0CXwOfK9a1TIXB9ahn6tVM9Fr1bJJ/aGfa9eGKlVie0nJy7NoA/PnWzbN\nL76wTKZHj9r+5s0tTk/37tC2LXLhhbFPShUrRKQF8DdgABZa/hPgN6q6ycexVYH7sMjBqcAS4FYN\nCUfvpfW9FbgeaAJ8C9yrqm+EqfNa4LdAa2AD8DdV/befcymXSiTAyy/D1Vfbv+CJJ+Cii8qu7SNH\n4JNP4LXXLAPVnj2myEaPNuXRvn3ZyRJnvv3W4iM+/7yFWjn1VLsMw4fbM7ZcsGuXacuPP7bffe1a\n256aCmedBRkZkJFBbrcz2bi7Nt98Q/6yciVs2mTZg3Nzj69axKpJTYXq1S0vW5UqBesqVUxZqNrx\neXnHLkePWpibQ4cs5X1gHVj8Pj6rVClQKLVrmzz16tlSt27hn2vXDhPwc/t2CxQaUBgLFlgIH7CG\nune3l60zz7R106Yh16UMMhvGAhGpDiwFDgN3YmbV/UB1oLOqZhdx/EvAEOD/gHVYnvdzgQxVXRJU\n7o/ALcAdwCLgMuBa4DxV/SCo3LXAf4AHMGXWD7gduEFVnyjqfMq1EgHL4T12rAWIOu88eOCB2KVa\n3bPHUsy+916B4qhTx1IYDh9uGQMrV45N20nAoUMWI3HCBLOyVC2S8SWXWCLFLl2SNmHl8axfD9On\nk/3JPI7OmUetzSuogJKHsIrT+ZpOfEVnNtfpxKHTO1OtXSuatahA8+b2wt2sGdSvbw/qmjVjZ7mp\nWqqZAwdg/37Yt8+s359+Kvgcbr1vn93eu3bZsnu3KaRwCHmcUmkzWalfkpGymM65izlt3yLqHPjO\nZKhYEe3UmQpnegrjzDMhLa3ImyGZlchNwF+BNFVd421rDawGfqeqfy3k2HTM8rhKVZ/1tlUClgPf\nqupQb1sjYDPwoKreHXT8p0BDVe0cdOw24ENVHRNU7hlgKHCSquYUdj7lXomA/Uv+9jf405/sXzB0\nqAXk69u3dE+tgwdh0SKLFPvRRzBvnr0KBhTHpZfCgAH2yug4hu3brZdx0iTL0Av2xpqVZS+dXbvC\nz35m20pLXp49JAPdOrEKgb9/v90OgRfrL74oiIxcv9JeLjtlPuemzqP90aU0+f4rqm5diwSeXdWr\nwymnFCynnmrr5s0tpH2DBondB3jgAIfWbmX/yi0cWr2ZvFVrqLjmW6pu+pba362ico5pmFwqsC6l\nHQvzuvJ5ThcW0ZXFdCGnUnW6dLGewHPOgT59iv5rJrMS+RRLYNUrZPtMAFXtU8ixdwF3AamqeiBo\n+z3A74HaqnpYREYDLwCnq+rqoHLjgGeAU1R1vYj8HJgFDFTVj4PKZQHTgL6qOr2w8zkhlEiAnTvh\nr3+1vpUff4SGDWHwYOtq6N7d/rjh7O7Dhy0N4erV1vewYoX12375ZUF/bdeulilw0CDrvqhUqezP\nL0n5/nvrAfr4Y7NQNmwo2FenDpx8sj1La9eGGjWs/z43t8AfcOiQ+Qqys01ZBD4Hvge/IVeoYM/r\nWrXs2dysWfilaVPrigmncHJzLbHimjXWhb9okd0OK1aYwgJ7/gdeqs88E844I0wizuxsWL7crOXl\ny2HdOlvWrjXBg6lY0bpDmzSxpV49uzihS+3a1lBwf1dKSsFnkcBwgIIFCkyS4H6u4CU728yNgNkR\nMEF++ME05a5dx8pboYKFjm7b1qyKtDTo3BnS0+0HwJTu6tXWpbdsGcyebYo3J8d+79Gj4corrYoA\n69ZZtoM334TPP09eJfIdMFlVrw/Z/jhwqao2LOTYV4CfqWpayPbhwKtAR1VdLiIPAr8BqmnQyYlI\nD+ALrEvrfRH5BfAE0FRVtweVawTsAH6lqv8q7HxOKCUS4NAhSxX79tuWKnbnzoJ91arZ0yPwGrR7\nt93twdSoAd265fdzk5FhCskRFXbutN7HpUth40bzF2zZYj9DdrY90ypVKvAHpKTYTxK8VK9+/Pfc\n3ALlsm+fWUMBJ3bwLRCgWjUzACpXtvby8goc3MG+iwYNzHoKdOF3717K20HVNOu6dSbcd98VLNu3\n23rXLvMf7N1boLnKgsqVrZ8t4PSoV4/8PrjgvriWLUtkgR84AO++a1mQP/rITq1TJ6tu7VpTOGBd\nn4sXR0+JlPUrXz1gd5jtu4CiMiMWdmxgf2C9R4/XjuHKEabO0HLHICLXAdcBnHzyyUWIXA6pWtV8\nFMOH2x92/Xp7ndy0CbZts6dE4C0tNdWeEg0aQJs29kbVrFk5SQuYmNSvb72AAwaUXZuHDtnzeds2\ne25v3Wqfd+60N+OjRwsc3HXr2kv2aafZ0rRplG8HEbM6/IwoVC3Qinv32vrQITPRDh8+fq1q9Ycu\nYAoi0tCt6tVNYdSoEdN7v3p1y2UzYoTpyv/+15K3bdxo1t0118CwYdC6dXTFiEe/QTjTx88pic9j\ni1MukjwRUdUngSfBLJHiHFvuECnoh3acsPx/e/ceK0dZxnH8+6NXpCYcooSoSCs1sSUIEqKNKEKV\ngoD4h1xUUIKikXhprGIkKCIoV7kECBQUAwENCN5QI1TQohAqIcQiRaggghIIYLlJS0vt4x/vu7Bn\nzp4LM7Nnpuzvk0z2nHf33fM+Z3bnmcs77ztzZtowzZnTdEteISldeZ81a0Tvpc3ddtvBkiVp6bfJ\nvtr0FL338IfofZTRbc0YdTvPdx6HpBG5ttfr6PGe2xSeNzOzUUx2ElkF7NSjfD5wzwTqzsndhIt1\nNwD3d71uBrBjj9fR9XdW5cdie4qvMzOzUUx2ErkOWCDppfMfkmYDe+Tnxqs7DTikq+5U4DBgWUSs\nz8XXk5LK4YX6RwB3R8SD+ffbgCdHed0a4NYJRWRmNsAm+5rI94EvAL+U1LnZ8GTSfR0Xd14kaQfg\nAdJd5icBRMRfJF0NnCtpGvAgcAzpTvOXEkFEPC7pHOA4Sc8Bd5ISzULgw12vezF3G75Q0iOkmw0X\nAp8CvhgRG/r0PzAze9WY1CQSEc9LWkga9uQK0sXtm0jDnnT3BRUwhZFHSkcB3yXd5b416e73/SLi\nzsLrjgf+Cyzm5WFPDo2IXxXas1RSkIY9ORZ4mNS198KqsZqZDQIPwFjBQN4nYmabvTrvWG/xWABm\nZtZ2PhKpIF9zua/pdkyy15E6JAyKQYsXBi/mQYsX0viFr63jjTxIUTX31XVIuLmQdMcgxTxo8cLg\nxTxo8UKKua738uksMzMrzUnEzMxKcxKp5pKmG9CAQYt50OKFwYt50OKFGmP2hXUzMyvNRyJmZlaa\nk4iZmZXmJFIgaXtJ10p6RtKzkn4maUKzT0maKelMSY9KWifpNkl79rvNVZWNWdLuki6RdK+ktZIe\nlvQjSa2eWaLKOi68z3GSQtIt/WhnnarGLGmepGskPZk/2/dJWtzPNldR8Xv8ZkmX58/zWkmrJX1H\n0lb9bncVkt4k6fy83VmbP5uzJ1h3i/x5/qekFyStlPSRidR1EumSh5n/PfA24EjgE8BbgT9M8AN0\nKfAZ4ATgQOBR4AZJu/anxdVVjPmjpKH0zwM+SJrrfjfgDknb963RFdSwjjvv8xbSGG2P96Oddaoa\ns6TdSVNLzwCOBvYHziKNb9c6VeLNz98I7Al8EzgA+AFpfL0f9rHZdZgLHEqam+lPr7DuycCJwAWk\n7/IK4BpJ+49bMyK85IU0YOP/gLldZXOAjcCSceruQhqV+KiusqmkO9qvazq2PsX8+h5lOwCbSCMw\nNx5fnfEW3ucG0sjTy4Fbmo6rj+t4C9LcOz9vOo5JindR/h4vKpSfluu/pun4xlpXXT8fneOYPYF6\n2wLrgW8Xym8C7hqvvo9EhjsIWBERnQmuiDT/yK10DSM/Rt0Xgau76m4ErgL2lTSj/ubWonTMEfFE\nj7KHgCeAN9bczrpUWccASPo46YjruL60sH5VYt6LNFHb2X1rXf2qxDs9Pz5bKH+alFD7N0l6RRGx\nqWTVfUlxX1kovxLYebzT004iw+0E3N2jfBUvz3g4Vt0HI2Jtj7rTSYeabVQl5hEkzSPt2fytYrv6\npVK8koZIUxl8LSI2lymUq8T8nvw4U9IKSS9KelzSeZK2rLWV9akS743A34HTJc2XNCtPX7EYWBoR\nz9fb1FbYiXQkcn+hvDP765j/MyeR4bah91zva3h5jvYydTvPt1GVmIfJM00uJR2JXFq9aX1RNd4z\ngdXAZTW2qd+qxPyG/Hg1sAzYBziDdLrkx3U1sGal442IF0iJs3Ma7znSaZ1fkybUezXaBng68jms\nLhPadnkAxpF63X05kUNYVajbtLrafQHwbuCAiOj1JW6LUvFKei/wSWC3Hl+4tiu7jjs7mldGxAn5\n5+WSpgCnSZofEffU0sJ6lV3HM0kJc1vSBfmHgXeSOstsJM2m+mpTadvlJDLcU/TOukP03rPptgbo\n1YVwqOv5NqoS80sknQp8FjgyIpbV1LZ+qBLvxaQjrH9L2jqXTQWm5N/XRcT62lpanyox/yc//q5Q\nvox0sXlXoG1JpEq8nyZdB5obEQ/ksj9Kega4RNLSiFhZW0vbYQ0wJEmFnaMJbbt8Omu4VaTzg0Xz\nGf+LsgqYk7sXFutuYOT5xraoEjMAko4nde9dHBFX1Ni2fqgS7zzgc6QNUWfZA1iQf27rXmrVzzWM\n3FPt7KWWvZjbT1Xi3Rl4qiuBdNyeH+dVbFsbrSJ1396xUN65FjLm/8xJZLjrgAX5HgAA8s06e+Tn\nxqs7DTikq+5U4DBgWUv3UKFazEj6EmnO++Mj4vw+tbFOVeLdu8eyknQRd2/g2vqbW4sqMf+WdNF1\nv0L5vvmxjfNDV4n3MdJeebEjzLvy4yM1tbFNrift6B5eKD8CuDv3bBtd032b27QAW5GOGP5K6gp4\nEGkj8Q9gVtfrdiCdHz2hUP8q0h7p0cD7SRuVF0jn0BuPr+6YSTcbbiJtaBYUlvlNx9aPddzj/ZbT\n/vtEqn6uv5XLTwE+QDrqXAdc1nRsdccLzCZ1711NulFxb+DYXHYHXfditHEBDs7LRaSjx2Py7+/r\nes1G4NJCvdPytmoJ6XTeRfm7/aFx/2bTQbdtIV3X+Gn+0DwH/ILCDTv5gxbAiYXyLUn96R/LK+TP\nwF5Nx9SvmEk9lGKUZXnTcfVjHfd4r9Ynkaoxk05dLckb5g3AQ8BJwLSm4+pTvPOBnwD/IiXL1cD3\ngKGm45pA3ON+H/PvlxXqTQG+kdfteuAu4OCJ/E0PBW9mZqX5moiZmZXmJGJmZqU5iZiZWWlOImZm\nVpqTiJmZleYkYmZmpTmJmJlZaU4iZmZWmpOImZmV5iRi1gKStpJ0r6TbJU3rKl8kaZOkzzfZPrPR\neNgTs5aQ9A5gBXBORHxd0rakMYxuj4iDmm2dWW9OImYtIunLwFnAIuCrpPktdomIJxttmNkonETM\nWkSSgN8AC4HpwD4RcVOzrTIbna+JmLVIpL26K0gzza10ArG2cxIxaxFJ2wHnAncCu0ha3HCTzMbk\nJGLWEvlU1uWkiZ/2ISWT0yW9vdGGmY3B10TMWkLSV4AzgIURcbOk6aTeWjOA3SNiXaMNNOvBRyJm\nLZC7954CnBoRNwNExAbgY6RpXM9urnVmo/ORiJmZleYjETMzK81JxMzMSnMSMTOz0pxEzMysNCcR\nMzMrzUnEzMxKcxIxM7PSnETMzKy0/wPKfcF67MFAygAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZsAAAELCAYAAAAP/iu7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAELCAYAAAAY3LtyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZsAAAELCAYAAAAP/iu7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZsAAAELCAYAAAAP/iu7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZsAAAELCAYAAAAP/iu7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ns/3Ib/z9MqcAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAELCAYAAAAY3LtyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZsAAAELCAYAAAAP/iu7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAakAAAELCAYAAABj+Hm+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\naYtTUg6Hw+FIW/4/YFUUFVAghiwAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "loop.run_loop(forrester_fcn, 10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot Final Model" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAuoAAAH/CAYAAAABlPgTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npKAuIiIiIhKGFNRFRERERMLQ/wN/n0SYED4ixwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "is_high_fidelity = loop.loop_state.X[:, -1] == 1\n", "plot_model(x_low=loop.loop_state.X[~is_high_fidelity, 0], y_low=loop.loop_state.Y[~is_high_fidelity],\n", " x_high=loop.loop_state.X[is_high_fidelity, 0], y_high=loop.loop_state.Y[is_high_fidelity])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison to High Fidelity Only Bayesian Optimization\n", "\n", "This section compares the multi-fidelity optimization to Bayesian optimization using high fidelity observations only." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization restart 1/1, f = 3.057914272962761\n", "Optimization restart 1/1, f = 12.829548655127017\n", "Optimization restart 1/1, f = 16.956886968763108\n", "Optimization restart 1/1, f = 18.051234079403454\n", "Optimization restart 1/1, f = 18.66552727885913\n", "Optimization restart 1/1, f = 18.801049817274947\n", "Optimization restart 1/1, f = 18.946612671647816\n", "Optimization restart 1/1, f = 18.703295010768795\n", "Optimization restart 1/1, f = 22.86112930242502\n", "Optimization restart 1/1, f = 26.149058523232725\n", "Optimization restart 1/1, f = 26.65207985621092\n" ] } ], "source": [ "from emukit.bayesian_optimization.loops import BayesianOptimizationLoop\n", "from emukit.bayesian_optimization.acquisitions.entropy_search import EntropySearch\n", "from emukit.model_wrappers import GPyModelWrapper\n", "import GPy\n", "\n", "# Make model\n", "gpy_model = GPy.models.GPRegression(x_high, y_high)\n", "gpy_model.Gaussian_noise.variance.fix(0.1)\n", "hf_only_model = GPyModelWrapper(gpy_model)\n", "\n", "# Create loop\n", "hf_only_space = ParameterSpace([ContinuousParameter('x', 0, 1)])\n", "hf_only_acquisition = EntropySearch(hf_only_model, hf_only_space)\n", "hf_only_loop = BayesianOptimizationLoop(hf_only_space, hf_only_model, hf_only_acquisition)\n", "\n", "# Calculate best guess at minimum at each iteration of loop\n", "hf_only_model_min_mean = []\n", "x_search = np.linspace(0, 1, 1000)[:, None]\n", "hf_only_model_min_loc = []\n", "def calculate_metrics(loop, loop_state):\n", " mean, var = loop.model_updaters[0].model.predict(x_search)\n", " hf_only_model_min_mean.append(np.min(mean))\n", " hf_only_model_min_loc.append(x_search[np.argmin(mean)])\n", "\n", "# subscribe to event\n", "hf_only_loop.iteration_end_event.append(calculate_metrics)\n", "\n", "# Run optimization\n", "hf_only_loop.run_loop(forrester_fcn_high, 10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot Estimated Minimum Location" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAuMAAAH/CAYAAAD9gdPZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njEkRC8aNMcYYY4xJkf8DCBNy1w+BCB4AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot comparison\n", "\n", "plt.figure(figsize=FIG_SIZE)\n", "x = np.array(range(len(model_min_mean))) + 1\n", "\n", "# Calculate cumulative cost of evaluating high fidelity only observations\n", "n_hf_points = hf_only_loop.loop_state.X.shape[0]\n", "cumulative_cost_hf = high_fidelity_cost * (np.array(range(n_hf_points)) + 1)\n", "cumulative_cost_hf = cumulative_cost_hf[x_high.shape[0]:]\n", "\n", "# Calculate cumulative cost of evaluating multi-fidelity observations\n", "cost_mf = cost_acquisition.evaluate(loop.loop_state.X)\n", "cumulative_cost_mf = np.cumsum(cost_mf)\n", "cumulative_cost_mf = cumulative_cost_mf[x_array.shape[0]:]\n", "\n", "x_min = np.min([cumulative_cost_hf, cumulative_cost_mf])\n", "x_max = np.max([cumulative_cost_hf, cumulative_cost_mf])\n", "\n", "plt.plot(cumulative_cost_hf, hf_only_model_min_loc, 'm', marker='x', markersize=16)\n", "plt.plot(cumulative_cost_mf, model_min_loc, 'c', marker='.', markersize=16)\n", "plt.hlines(x_search[np.argmin(forrester_fcn_high(x_search))], x_min, x_max, color='k', linestyle='--')\n", "plt.legend(['High fidelity only optimization', 'Multi-fidelity only optimization', 'True minimum'])\n", "plt.title('Comparison of Multi-Fidelity and High Fidelity Only Optimizations')\n", "plt.ylabel('Estimated Location of Minimum')\n", "plt.xlabel('Cumulative Cost of Evaluting Objective');\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The multi-fidelity Bayesian optimization has used the low fidelity observations to find the true optimum of the function with a lower cost than the high-fidelity optimization needs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# References" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- **[1] Virtual vs. Real: Trading Off Simulations and Physical Experiments in Reinforcement Learning with Bayesian Optimization** Alonso Marco, Felix Berkenkamp, Philipp Hennig, Angela P. Schoellig, Andreas Krause, Stefan Schaal, Sebastian Trimpe \n", "- **[2] Multi-Task Bayesian Optimization** Kevin Swersky, Jasper Snoek, Ryan P. Adams" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }