{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.6"
},
"colab": {
"name": "buckley_leverett_1d_notebook.ipynb",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
""
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6t7dTDp6Iwst"
},
"source": [
"# Buckley-Leverett 1D Simulation using Finite Difference (Forward-Backward Scheme)"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "Iwri8UT2Fmau",
"outputId": "f5163ae1-8242-4990-9b8d-ee3e4e56ab00"
},
"source": [
"!git clone https://github.com/yohanesnuwara/pyreservoir"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": [
"Cloning into 'pyreservoir'...\n",
"remote: Enumerating objects: 12, done.\u001b[K\n",
"remote: Counting objects: 100% (12/12), done.\u001b[K\n",
"remote: Compressing objects: 100% (12/12), done.\u001b[K\n",
"remote: Total 927 (delta 6), reused 0 (delta 0), pack-reused 915\u001b[K\n",
"Receiving objects: 100% (927/927), 24.37 MiB | 33.10 MiB/s, done.\n",
"Resolving deltas: 100% (495/495), done.\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "x5uREYoJcfFq"
},
"source": [
"import numpy\n",
"from matplotlib import pyplot\n",
"import pandas as pd\n",
"from scipy import interpolate\n",
"\n",
"import sys\n",
"sys.path.append(\"/content/pyreservoir/fluid_flow\")\n",
"from relperm import interpolate_relperm\n",
"from twophase import buckley_leverett1d\n",
"\n",
"pyplot.style.use('seaborn')"
],
"execution_count": 2,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "UYO7nN_LcfFs"
},
"source": [
"Relative permeability data"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 620
},
"id": "eq5bX_j4cfFs",
"outputId": "d50c06b6-eaf3-48d9-a279-b3ca30c9d46c"
},
"source": [
"Sw = numpy.arange(0.2, 0.9, 0.05)\n",
"krw = numpy.array([0, .002, .02, .04, .07, .11, .15, .22, .3, .4, .5, .6, .7, .8])\n",
"kro = numpy.array([.6, .5, .4, .3, .23, .17, .12, .08, .05, .03, .02, .01, .005, 0])\n",
"\n",
"df = pd.DataFrame({\"Sw\": Sw, \"krw\": krw, \"kro\": kro})\n",
"print(df)\n",
"\n",
"pyplot.plot(Sw, krw, '.-', label='krw')\n",
"pyplot.plot(Sw, kro, '.-', label='kro')\n",
"pyplot.xlim(0.2, 0.85)\n",
"pyplot.xlabel('Sw'); pyplot.ylabel('Relative Permeability')\n",
"\n",
"pyplot.legend()\n",
"pyplot.show()"
],
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": [
" Sw krw kro\n",
"0 0.20 0.000 0.600\n",
"1 0.25 0.002 0.500\n",
"2 0.30 0.020 0.400\n",
"3 0.35 0.040 0.300\n",
"4 0.40 0.070 0.230\n",
"5 0.45 0.110 0.170\n",
"6 0.50 0.150 0.120\n",
"7 0.55 0.220 0.080\n",
"8 0.60 0.300 0.050\n",
"9 0.65 0.400 0.030\n",
"10 0.70 0.500 0.020\n",
"11 0.75 0.600 0.010\n",
"12 0.80 0.700 0.005\n",
"13 0.85 0.800 0.000\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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dl5uby9NPP01dXR3BwcG8/PLL+owihBDCDOw5nMXG707jZG/F4ukRdHWV4r4clb42HBsbS0ZGBtHR0bzyyiu88sorze7/73//y+zZs9myZQsWFhbk5ORccXuni9Oprq/RV1whhBBGVF1bz/o9qY3F7SDFrYveyvvgwYOMGTMGAH9/f0pLS6moqABAo9Fw9OhRRo0aBcCSJUvw8vK64vb+uXcZy46skAIXQoh2prq2nufeO8h3x86jUik8dW8/KW4d9HbYvKioiJCQkKbbLi4uFBYW4uDgwIULF7C3t+c///kPSUlJDBgwgGeeeUbnNvMrC6m0LKW7m7++Ypsdd3d528RfyUyak3m0JDNpyZgzeWdrAuWVdQBoNFocHG2M/ndk7MfXxWAnrGm12mZ/zs/PZ+bMmXh7ezN37lz27dvHyJEjdW5nZ9I+Oge5oVL0dtDAbLi7O1JYWG7sGCZFZtKczKMlmUlLxpzJ9gPn+ObAOSxUCg0aLV1d7bBTK0b9OzKl50hrv0Torbw9PDwoKipqul1QUIC7uzsAzs7OeHl54ePjA8DNN9/M6dOnr1jeUcOfZO3RzRzMO4JKpWJan6lS4EIIYca2/ZLOl/vTce1kw8J7w6ipa8DbzR4bK3kjlC56a78hQ4awe/duAJKSkvDw8MDBofF9emq1mu7du3Pu3Lmm+/38/K64vfCuwSyKnEd3By9+yYllQ8pWNFqNvuILIYTQo69+bixuNycbnpseQTd3B/y9nKS4r5LephQZGUlISAjTpk1DURSWLFlCTEwMjo6OjB07lqioKJ5//nm0Wi0BAQFNJ69dib2lHU9GzGVV/BoO5B5Go9XyYNA9sgcuhBBmQqvV8uX+dLYfOId7ZxsWPxCJq5ONsWOZHUX75xejTdzvr0FU1lWyKv5DMsqzGNylPzOC7u2QBW5Kr8uYCplJczKPlmQmLRlqJlqtlpifzvL1wQw8OtuyeHoELp1Mr7hN6TnS2mveZtl4dpZ2PBH+KL6dfPg17yjrkjfJIXQhhDBhWq2WrT82Frens+kWt7kwy/IGsLO05YnwR/Dr5MPh/GN8kryRBk2DsWMJIYT4C61Wy+Z9aew8lIGnix2Lp0dKcd8gsy1vAFu1LfPDH6WnUw+O5MdLgQshhInRarVEf3+GXb9m0sXFjuemR+DsaG3sWGbPrMsbwFZtw/x+j+Dv5MvRggQ+Tt4gBS6EECZAq9Wy4bvT7DmcRVfXxuLu7CDF3RbMvrwBbNQ2PN7vEXp19iOu4DgfJX0uBS6EEEak1Wr5fO9p9h45j7ebPYunR+Ikxd1m2kV5A9iorXm83yP07tyT+MJEPjzxGfWaemPHEkKIDker1bL+21S+O3qebu72/OOBCJzsrYwdq11pN+UNYG1hxeP9ZhPg3IuEoiQ+kAIXQgiD0mi1fLonle+PZdPN3YFnH4igkxR3m2tX5Q1gZWHF38MeJtC5N4lFyaxJ/JQ6KXAhhNA7jVbLul2n2BeXjY+HA/94IJxOdlLc+tDuyhsaC/yxsIcJcgngRPFJ1iSuo66hztixhBCi3dJotXzyTQo/JeTg49m4x+0oxa037bK8AawsLHksdBbBLn1IKk7hfSlwIYTQC41Gy9qdKew/nkuPLo7844EIHGwtjR2rXWu35Q1gaWHJ3NCZhLgGknzhFKsTP6FWClwIIdqMRqPlo50n+TkxF7+ujvxjWjj2NlLc+tauyxsaC3xO6Ez6ugZx8kIqq4+vpbah1tixhBDC7Gk0Wj78OpkDJ/Lo6dWJZ+4Px06K2yB0lvdTTz3FgQMHDJFFbyxVah4NfYhQt2BSSk7z7vG11EiBCyHEdWvQaPhgRzIHk/Lx9+rE0/dJcRuSzvIeO3YsGzduZOLEibz99tvk5eUZIlebs1SpebTvDPq59yW15AzvJnwkBS6EENehQaNhzfZkDiXn08vbiafvD8fORq7DbUg6y/v2229nxYoVbN68GV9fX55++mnmzJljlnvjapWaR0IeJNw9lNMXz/JOwodU19cYO5YQQpiN+gYNq7clE3uygN7dnHjqvn7YWktxG9pVveZdVVXFnj172Lx5MxqNhltvvZV169bx5ptv6jtfm7NQWTA7ZDoRHmGcuZj+W4FXGzuWEEKYvMbiTuJISgEB3TtLcRuRzvJ+4YUXuO2220hISOD5559n48aNTJ8+nXfffZf9+/cbImObs1BZ8LfgB+jv0Y+00nO8nfAhVVLgQgjRqvoGDe99lcTRU4UE+nTmqXv7YWMlxW0sOicfFBTEiy++iJ2dXdPH4uPjCQ8P59///rdew+mThcqCWcHTUBSFI/nxvB3/IfPDZ2OrtjV2NCGEMCn1DRre/fIEcaeLCOrhzIJ7wrC2tDB2rA6t1T3vsrIyMjMz+frrrykuLiYrK4usrCzOnj3Lc889B0BwcLDBguqDhcqCmUH3M9AzgvSyDFbFf0hVfZWxYwkhhMmoq9fwdkwicaeLCPaV4jYVre55x8XF8cknn3Dy5ElmzZrV9HGVSsXQoUMNEs4QLFQWzAy+H5Wi4te8o6yM+4Anwh/FzlL2wIUQHVtdfQNvf3GC42nFhPi58OTUUKykuE1Cq+U9YsQIRowYwYYNG3jggQcMmcngVIqKGUH3oqBwKO8IK+Pf58nwOdhZ2un+YiGEaIfq6htYGZPIibMX6Nuzsbgt1VLcpqLV8t66dSt33303+fn5vPXWWy3uX7hwoV6DGZpKUfFg0D2oFIUDuYdZEb+GJ8PnYC8FLoToYGrrGos7Kf0CYf6uzL+rrxS3iWn1NW+VqvEutVqNhYVFi//aI5Wi4oHAuxniNYis8mxWxL1PRd0lY8cSQgiDqalrYMXW4ySlX6Cfvyvz75I9blPU6p73lClT0Gg0PP7444bMY3QqRcW0PlNRFBU/Zx9iRdz7LAifi4OVvbGjCSGEXtXUNbBiy3FOZpQQ3suNv9/ZF0t1u78EhllqtbyDg4NRFKXFx7VaLYqicPLkSb0GMyaVomJawF2oUPgp+yBvxa1mQcRcHK0cjB1NCCH0oqa2gbe2JJCSeZHIAHfmTQlBbSHFbapaLe+UlJQb3vjSpUtJSEhAURSioqIICwtrum/UqFF06dKl6RD8a6+9hqen5w0/ZltRFIX7Au5EUVT8eP6XpgLvZOVo7GhCCNGmqmrqeXNzAqlZF+nfx53H7pDiNnU6T1i73MlqoPuEtdjYWDIyMoiOjiYtLY2oqCiio6Obfc6aNWuwtzfdw9GKonBv7ztQofDD+Z9569hqHgv7G5fqLtHV3hMbtbWxIwohxA0pKa/h5U+OcC63jAGBHsydHCzFbQZaLe/fT1i73pPTDh48yJgxYwDw9/entLSUiooKHBzM69Czoijc3XsyiqLwfdZ+/v3razRoG/C082DxgCelwIUQZqukvIbnVx+krl6DjZUFs8YHSHGbiVbL+6677gLgiSeeoKysjHPnzqEoCn5+fldVwEVFRYSEhDTddnFxobCwsNnXLlmyhOzsbPr3788zzzxz2dfY/8zd3XiHrB9zf4A6VQ37M2IByK8soNqqnO6ubkbLBMadiamSmTQn82hJZgKXqur419rD1NVrAKiubaBGo+ArswFM/zmic23ztWvX8u677+Lr64tGo+H8+fM88cQTPPjgg9f0QFqtttntBQsWMGzYMJycnJg/fz67d+9m/PjxV9xGYWH5NT1mW7vTZxLHsk9wqb4SC8WCmgothRrjZXJ3dzT6TEyNzKQ5mUdLMhOorK7njU3xZOSVY2tlQVVtA11d7bBTKx1+NmBaz5HWfonQWd5bt25l7969ODo2bqC0tJQZM2boLG8PDw+KioqabhcUFODu7t50+84772z68/Dhw0lNTdVZ3sZmY2nDyzc/z6bTX/Fr3lHeSfiIRRGP4WzT2djRhBDiqlRW1/F6dDzpueXc0rcL08f0ploDdmpFrhJmRnS+uOHp6dlU3ABOTk74+Pjo3PCQIUPYvXs3AElJSXh4eDQdMi8vL+eRRx6htrYWgMOHD9O7d+/r+gYMzcbShoeC7mOC72iKqor537H3uFBdYuxYQgih06XqOpZvbCzuIaFdmH17EHY2lvTp4SLFbWZa/dvasmULAF5eXsybN49bbrkFlUrFoUOHruotXZGRkYSEhDBtWuNlN5csWUJMTAyOjo6MHTuW4cOHc//992NtbU1wcLDJ73X/maIoTOp5G4qiYmf6t/zv2GoWRjyGq62zsaMJIcRlVVTV8frGeDLyyxkW1pVZEwJR6TjPSJguRfvXF6N/88ILL1zxC//zn//oJdCVmMprEH+2M/1bvk7/FhcbZxZGPIabrYvBHtuUXpcxFTKT5mQeLXXEmVRU1fHahjgyCyoY3s+LmeP7NCvujjiTKzGleVzza95XKud169bdeKJ24na/sagUFdvP7uZ/x95jUeRjuNm6GjuWEEIAUFZZy2sb4jlfWMHICG9mjAuQPe52QOeLHCdPnuS9996jpKTxdd3a2lry8vKYOXOm3sOZi/G+o1Gh4quz3/DmsfdYFDEPdzspcCGEcZVdqmX5xjiyCy9xa6Q3M8YG6HxLrjAPOk9Y+9e//sW4ceMoLS1l9uzZ+Pr6smzZMkNkMyvjfG/lTv/buVhTyv/i3qOgstDYkYQQHVjppVqWb2gs7tH9u0lxtzM6y9vGxoaJEyfi6OjIyJEjeeWVV/jwww8Nkc3sjO0xkrt6TWws8GOryb9UYOxIQogOqLSihmWfHyO76BJjBnRj+pjeUtztjM7yrqmpITU1FWtra2JjYyktLSU7O9sQ2czSGJ8R3N1rEqW1ZfwvbjV5UuBCCAO6WFHDsg1x5BZXMm5gdx4YLcXdHuks72effZbMzEwWLFjAiy++yLhx45g8ebIhspmtUT7Duaf3HZTVlvO/uPfIu5Rv7EhCiA6gpLyGVz9vLO7xg3y4f1QvKe52SucJa/3792/68++Lrgjdbu0+FJWiYlPql/zvWOPlRL0cuhg7lhCinSopbzxUnl9SxYSbfLhnhL8Udzumc887JSWFqVOnNi2i8s4775CQkKD3YO3BiG63cH/AXZTXVfBW3GqyK3KNHUkI0Q5dKKvm1fWNxT3x5h5S3B2AzvJ++eWXWbp0adO65BMmTDDKAi3mani3m3mgz1Qq6i6xIu59zpfnGDuSEKIdKS6t5tXPj1FwsYrJt/gydXhPKe4OQGd5q9VqAgMDm277+fmhVssauNdiqPdNTA+8m0t1layIe58sKXAhRBsouljFq58fo/BiNXcM8eUuKe4O46rKOysrq+kJ8eOPP7a4vKfQbYjXYKYH3kNlfRUr4laTWX7e2JGEEGas8GIVr34eR1FpNXcO9ePOYT2NHUkYkM5d6Oeee47HH3+c9PR0+vfvj7e3N6+++qohsrU7t3gNRKUofHZyMyvi1rAgfA4+nboZO5YQwswUXKxi+efHKC6r4a7hPZl8i6+xIwkD01neffr0Yfv27Vy4cAErK6umy3qK63NT1wEoKHx6chMr4t/nyfA59OjU3dixhBBmIr+kkmWfx1FSXsPdI3oy8WZfY0cSRqCzvE+dOkVMTAzl5eXNDpfLSWvXb3DX/qgUFZ8kb2RF3BqeCH8UPyfd10gXQnRs+RcqWbahsbjvHenPhJt6GDuSMBKd5b1w4UImTZpEr169DJGnwxjYJQJFUVibtIFV8WuYH/4oPZ3kB1EIcXm5xZdYtiGO0opa7ru1F+MHyy/8HZnO8vb29uaJJ54wRJYOZ4BnOAoKa5M38Hb8B8wPf4SeTr7GjiWEMDG5xZdY9nkcpZdqmTaqF+MGSXF3dDrLe8qUKbzzzjtEREQ0e4vYwIED9Rqso+jv2Q9FUfg46XNWxX/A4/0eoVdnP2PHEkKYiOyiSyzfEEfZpVoeGN2bsQPlHBlxFeW9bds20tPT+fnnn5s+pigK69ev12uwjiTSIwyVouLDE5/xdsKHPB42m97O8rYPITq684UVvLYhjrLKOh4cG8Do/vLuFNFIZ3lfuHCB7777zhBZOrRw97482vchPjzxGe8kfMjf+80mwNnf2LGEEEZyvqCC5RvjKK+s46FxAdwaKcUt/qBzkZaBAweSmZlpiCwdXj/3EOaEPkSDVsM7CR9x6sIZY776ouEAACAASURBVEcSQhhBZn45yzY0FvfM2/pIcYsWdJb3L7/8wu23387QoUMZOXIkI0aMYOTIkQaI1jGFugUzN3QmWq2Gd49/RMqF08aOJIQwoMz8cpZviKOiqo5Z4/swMsLb2JGECdJ52Hz16tWGyCH+pK9bEHPDZvF+4jreO/4xj4U+TJBrgLFjCSH0LCOvnNc2xlFZXc/fJgQyrJ+XsSMJE6Vzz3v58uV4e3u3+E/oV4hrII+FzkILvJe4lqTiU8aOJITQo/TcMpZv+K24bw+S4hZXpLO8u3XrxpYtW0hLSyMrK6vpP6F/wa59mBf2MArw/vG1nCg6aexIQgg9SM8t47WN8VTV1DN7YhBDw7oaO5IwcToPm+/cubPFxxRFkTPQDSTIJYB5YX/jveNrWZO4jkdDHyLULdjYsYQQbSQtp5Q3ouOprm3g0cnB3BzSxdiRhBnQWd7ff//9dW986dKlJCQkoCgKUVFRhIWFtfic119/nfj4eD799NPrfpz2LtClN4/3+xvvJHzMmsRPeaTvDPq5hxg7lhDiBp3JbizumroG5kwO5qZgKW5xdXQeNs/OzmbBggU89NBDAGzevJlz587p3HBsbCwZGRlER0fzyiuv8Morr7T4nDNnznD48OFrT90BBTj3Yn6/2VgoKj448SmH8+I4XZxOdX2NsaMJIa5RdW09++KzeW1jHLV1Gh67I0SKW1wTneX94osvMmXKlKYrivn6+vLiiy/q3PDBgwcZM2YMAP7+/pSWllJRUdHsc/773//y1FNPXU/uDqm3sz/zwx/FQrFgbfIG/rl3GcuOrJQCF8KMVNfW8+IHv7Ju1ylq6zTMnhjIoCBPY8cSZkbnYfO6ujpGjx7N2rVrgatf07yoqIiQkD8O7bq4uFBYWNh0PfCYmBgGDRp0TWeuu7s7XvXntlfu7mFUKPex5mjj8rT5lQVUW5XT3dXNyMlMhzxPmpN5tGTMmew8kE5x2R+/cAf2dDOJvyNTyGBKTH0eOssboKysDEVRADh9+jQ1Nde+p/fna4FfvHiRmJgYPv74Y/Lz8696G4WF5df8uO1RoH0gLjaduVB9EYCU8+l01kh5Q+MPnDxP/iDzaMmYM0nJKOGDrxKbbnd1tcNOrRj970ieJ82Z0jxa+yVCZ3nPnz+f++67j8LCQiZPnkxJSQnLly/X+YAeHh4UFRU13S4oKMDd3R2AQ4cOceHCBR588EFqa2vJzMxk6dKlREVFXe3306HZqK3556BnSK1MYe2xLXyWsgULlZqBXSKMHU0I0YqT5y7w1pbjaDTw2JRg3Jxs8Xazx8bqqvahhGhG57Pmpptu4ssvvyQ1NRUrKyv8/PywtrbWueEhQ4awcuVKpk2bRlJSEh4eHk2HzMePH8/48eMBOH/+PC+88IIU9zWyUVsz2n8onXBmVfwHfJK8ES1aBnWJNHY0IcRfJJ27wIotx9FqtcyfGkp4LzlSJm5Mq+Xd0NDAxo0bSU9PZ8CAAU1le7UiIyMJCQlh2rRpKIrCkiVLiImJwdHRkbFjx95wcNHIt5MPT4bPYWX8B6xLjkar1TK4a39jxxJC/OZEejErtyai1cITU0MJ85fiFjdO0f75xeg/efnllykpKaF///788MMPDBs2jIcfftjA8ZozldcgTMWfX5fJLD/Pyrg1VNVX82DgPdzsdXUnFrY3pvRalSmQebRkyJkknm0sboAFd4fSt6erQR73WsnzpDlTmkdrr3m3+lax5ORk3nzzTWbMmME777xzQ4u1CP3zcezGgoi52KltWZ+yhQM5scaOJESHdjytiJVbj6MosOAe0y1uYZ5aLW9LS8umP1tbW9PKDrowId0dvRsL3LKxwH/OPmTsSEJ0SPFnilgVk4hKUVhwTxh9/aS4Rdtqtbx/f2tYa7eFaerm6MXCiMdwsLRnw6kY9mcfNHYkITqUuNRC3v6tuBfeE0aIr4uxI4l2qNUT1pKTk3nwwQebbp86darZ7fXr1+s3mbhu3g5dWRjxGG/FrWbjqS/QaLWM6HaLsWMJ0e4dPVXIe1+dwMJC4al7+9HHx9nYkUQ71Wp5v/POO4bMIdqYl0MXFkXO46241WxK/RKtVsvI7kOMHUuIdutISgGrtyWhtlCx6N4wKW6hV62W96BBgwyZQ+hBV3tPFkU8xltx77P59Fdo0DCq+zBjxxKi3TmcUsDqr5KwtFTx1L39COje2diRRDun88Ikwrx1+a3Anawc2Xp6O99l/mTsSEK0K7En81n9VRJWliqeuS9cilsYhJR3B+Bp78HCyHk4WXUi5swOvs3YZ+xIQrQLh5LyWL0tCWsrFc/cH06vbk7GjiQ6iKsq79TUVPbu3Qs0XqREmB9PO3cWRc6js7UTX6btZE/GD8aOJIRZO3gijzU7krGxUvPM/RH4e0txC8PRWd5r164lKiqKFStWAI0nssnJbObJw86NRRHzcLbuzFdp37DrnCy8I8T1+CUxlw92JGNrpebZaeH09Opk7Eiig9FZ3jt27GDTpk04OTX+Vrl48WL27dun71xCT9ztXFkU+RjO1p3ZfnYX36TvNXYkIczKz8dz+ejrk9jZqHn2gXD8ukpxC8PTWd729vaoVH98mkqlanZbmB83W1eeipyHq40zO9L38HX6t8aOJIRZ2J+Qw8c7fyvuaRH4dpHiFsahs4V9fHxYtWoVZWVl7Nmzh0WLFuHv72+IbEKPXG1dWBgxD1cbF3amf8uOs3tkCVwhruDH+Gw+/iYFe1tL/vFABD26XP6CEUIYgs7yfumll7C1tcXT05Nt27bRr18/lixZYohsQs9cbZ1ZFPkYbjYufHNuLzvO7pYCF+IyfojL5pNdp3D4rbh9PKW4hXG1ukjL71asWMGUKVN45JFHDJFHGJiLjXPTSmy7Mr5Hg5Y7eo6XteyF+M33x87z2Z5UHO0ai7ubu4OxIwmhe8/bzs6Op556iqlTp7J27VqKiooMkUsYkLNNZxZFzsPDzo09GT/wZdpO2QMXAvjuaGNxd7KzZLEUtzAhOsv773//O9u3b2f58uWUl5czd+5c5syZY4hswoA6WzuxKGIennbu7M38kS/OfC0FLjq0bw9nsf7bVJzsrVg8PRJvKW5hQq76tHFra2tsbW2xtbWlqqpKn5mEkThZd2JhxDw87Tz4Lusntp7ZLgUuOqQ9sZls+O40Tg5WLJ4egZebvbEjCdGMzte8V69eze7du6mrq2PSpEm8+uqrdOvWzRDZhBE4WTuyKLLxYiY/ZP2MVqvlnt53yGvgosPY9Wsmm344Q2eHxj3uLi52xo4kRAs6y7u0tJSlS5cSGBhoiDzCBHSycmRRxGOsiHuffed/QaPVcl/AFClw0e7tPJTBln1pODtas/iBCDyluIWJarW8t27dyt13342VlRW7d+9m9+7dze5fuHCh3sMJ43G0cmBBxFxWxq/hp+wDaGkscJUiC/SI9mnHgXPE/HQWl06Nxe3hLMUtTFer/xL/voqaWq3GwsKixX+i/XO0cmBB+Fy8HbqyP/sgG099gUarMXYsIdrc9l/SifnpLK6drFk8PVKKW5i8Vve877rrLgAcHBx4+OGHm933+0VKRPvnYGXPgoi5rIpbwy85v6LVankgcKrsgYt246uf0/nq53RcO9nw3PQI3DrbGjuSEDq1Wt6HDh3i0KFDbNu2jdLS0qaP19fXExMTw4IFCwwSUBifg6U9T0bMZVX8Gg7kxqJBw4OB90iBC7Om1Wr56ud0tv1yDjcnGxZPj8DNSYpbmIdW//Xt2bNn0xrmfz5cbmNjwxtvvGGwgMI02Fva8WT4HHo4dudQ7hE+O7lZDqELs6XVavlif2Nxu3e24bnpkVLcwqy0uuft4eHB5MmTiYiIaPHWsHXr1jF48GCdG1+6dCkJCQkoikJUVBRhYWFN923atIktW7agUqkIDAxkyZIlcjazibOztOOJ8EdZlfABv+YdRYuWh4Lukz1wYVa0Wi0xP53l64MZeHS2ZfH0CFw62Rg7lhDXROdbxcrLy1m4cCElJSUA1NbWkpeXx8yZM6/4dbGxsWRkZBAdHU1aWhpRUVFER0cDUFVVxddff8369euxtLRk5syZxMXFERkZ2QbfktAnO0tbngx/lLfjPyQ27xh1DXXc2n0o3g5e2KitjR1PiCuqqqnjzc+P8cOx83g627J4eiTOjvK8FeZH5y7Tv/71L8aNG0dpaSmzZ8/G19eXZcuW6dzwwYMHGTNmDAD+/v6UlpZSUVEBgK2tLZ988gmWlpZUVVVRUVGBu7v7DX4rwlBs1bbMD38U307diStM5I1j7/LqkRVU19cYO5oQraqsrmPxuwf54dh5LFQKC+/pJ8UtzJbOPW8bGxsmTpzIhg0bGDlyJMOGDePxxx9n0KBBV/y6oqIiQkJCmm67uLhQWFiIg8Mf6wO///77rFu3jpkzZ9K9e3edYd3d5TJ8f2W8mTgyU3U3L+/7HwAFlYWcrjrFqJ5DjJTnD/I8aU7mARWVtby6IY5L1fUANGi0WNlaymz+RGbRnKnPQ2d519TUkJqairW1NbGxsfTq1Yvs7OxrfqDLrZE9d+5cZs6cyZw5c+jfvz/9+/e/4jYKC8uv+XHbM3d3R6POxEnjioedOwWVhQCsPryejMJcJviOwUJlnLUAjD0TUyPzgKyCClbFHKfwYjXWlipq6jR0dbXDTq10+Nn8Tp4nzZnSPFr7JUJneT/77LNkZmayYMECFi9eTHFxMY8++qjOB/Tw8Gh2+dCCgoKmQ+MXL17k9OnTDBw4EBsbG4YPH86xY8d0lrcwLTZqa54bsIDcS/lU1lWy4VQM35z7jqTiFGYFT6OLvaexI4oO7lByHmu/SaG2TsOkW3owfpAP1RqwUyvYWOn8508Ik6Xz2fvnQv3rEqlXMmTIEFauXMm0adNISkrCw8Oj6ZB5fX09zz//PNu2bcPe3p7ExETuuOOO64gvjM1GbY2fkw8A/+z8FJtTt/Fr3lH+e/gtpvjfzohut8jZ6MLgGjQaNv+Qxp7DWdhYWfDE1FAiAxp3HnqY0F6VENer1fKePn36Fd+6tX79+ituODIykpCQEKZNm4aiKCxZsoSYmBgcHR0ZO3Ys8+fPZ+bMmajVavr06cPo0aOv/7sQJsFWbcvM4PsJcw9hQ8pWtpzexomik8wIuhdnm87Gjic6iLJLtbz31QlSMi/S1dWOJ6aG0tVVLukp2hdF28oFm2NjY6/4hbpOWNMH+W25OVN6XeavSmvK+TxlMyeKU7BV23J/wJ0M8AzX+3v5TXkmxtDR5nE2p4y3v0ikpLyG/gHuzJ4YhK11832UjjaTqyEzac6U5nHNr3n/uZz37dvH+fPnmTFjBpmZmVd1Zrjo2JysHZkX9jcO5MSy5cx21iZv4HhREtP6TMXeUi76INreTwk5fLbnFA0NWu4e0ZPbb+ohCz+Jdkvna97Lly8nIyODnJwcZsyYwfbt27lw4QIvvviiIfIJM6YoCkO8BxPg3It1JzdyrOA4aRfPMSPoXoJd+xg7nmgn6uo1fL43lR/jc7C3UfPYPSH09XM1diwh9ErnmUSHDx9m1apV2Ns3vmY0f/58kpKS9B5MtB/udq48Ffl37ug5noq6S7yd8CHRp76ktqHW2NGEmbtQVs2rnx/jx/gcfDwceOnhgVLcokPQuedtbd24AtHvh58aGhpoaGjQbyrR7qgUFbf5jiLYNZBPkjfwU/YBUkpSmRU8Dd9OPsaOJ8zQqcwS3v3yBGWVddwc4snM8YFYWxpnfQEhDE3nnndkZCQvvPACBQUFfPzxx8yYMcMoJ6uJ9qG7oxfPDVjAqO7DKKws5vWj77Dj7B4aNPILobg6Wq2Wb49k8drGeC5V1zN9TG8enRQsxS06lFbPNv+zXbt28euvv2JlZUX//v0ZN26cIbK1YCpn/5kKUzoj8nqklqSxLjmakpqL+Dh2+21hF48b2qa5z6Sttbd51NQ1sG5XCgeT8ulkZ8nf7+xLHx/na9pGe5tJW5CZNGdK82jtbHOd5V1SUoKzc/MfjvPnz7e4TKghmMowTYUpPcGuV1V9VdPCLpYqNXf6T2R4t5uve2GX9jCTttSe5lF4sYq3YxLJLKjA36sTj98Vel0XFmlPM2krMpPmTGkerZV3q/9CHjlyhGHDhnHbbbcxfvx4MjMzAfjss8+YPn26flKKDuf3hV0e7fsQVhZWbD79FW/Hf8jFmlJjRxMm5MTZYl5ee5jMggpGhnvJpTxFh9fqCWtvvvkma9euxd/fn++++44XX3wRjUaDk5MTmzdvNmRG0QFEeITS08mX9SmbSSpO4d+/vsG0gDsZ0CXC2NGEEWm1WnYeyiDmx7NYWCg8PCGQ4f28jB1LCKNrdc9bpVLh7+8PwOjRo8nOzmbmzJmsWrUKT0+54IRoe07Wjvw97G880GcqDdoGPk7ewEcn1nOprtLY0YQRVNXU8/YXJ9j641k6O1rz/IP9pbiF+E2re95/XZmoa9eujB07Vu+BRMemKApDvW9qXNglOZqjBQmcuZjOQ0H3EeQaYOx4wkByiy+xKiaR3OJKAn06M29KXzrZWxk7lhAm46rPCpJlBoUhedi58VTkPCb3HE95XQWrEj6QhV06iGOphfzfJ0fILa5k3MDuPDMtXIpbiL9odc87Li6OkSNHNt0uLi5m5MiRaLVaFEVh3759BognOjILlQXjfUcR7BrAJ8nRTQu7PBz8AD06yfr67Y1Go+WL/Wf5+mAGVmoVc+8I5qbgLsaOJYRJarW8d+3aZcgcQrTKx7Ebzw9YwLazu/g+az+vHX2b8T1GMd53NBYqWZijPaioquP97UmcOHsB9842PDE1jO4eDsaOJYTJarW8vb29DZlDiCuytLDk7t6TCXULYl3yJnae20tS8SlmBd+P5w0u7CKMKzO/nLe/SKTwYjWhPV2Ze0cw9jaWxo4lhEm7vpUwhDCSAOdeRA16ikFdIskoz+I/h99i3/lfuIqFAoUJOpSUx9JPj1J4sZrJt/iy8J4wKW4hroLOC5MIYWrsLG2ZFTyNULdgNqbEsDn1K04UneTegClcLC7Cpt4RG7Us4GHK6hs0bP4hjW+PZGFjZcGTU0OJCHA3diwhzIaUtzBbkR5h+Dv58lnKZpKLT/F/h15DixZPO3cWD1ggBW6iSi/V8t6XJziVdZGurnY8MTWUrq72xo4lhFmRw+bCrDlZd+LxsNmM9RmJlsZD5/mVhRwrSDByMnE5aTmlvLz2MKeyLtK/jzv/b+YAKW4hroPseQuzpygK431HE1+YSGFVMQDrU7aQXprBHf4TcLSSs5aNrbq2nh0HzrE7NhONFu4e0ZPbb+oh60cIcZ2kvEW7YKO25vmBi6i2Kie7oIgv03ZyIPcwcYUnmNzzNoZ6DZa3lRlJeWUtz68+RFVNPYoC8+/qS2SAvENAiBsh5S3aDRu1Nd1d3eiscSPQpTf7sw+xI303m1K/5JecX7kv4E56dfYzdswOJSOv8W1gVTX1AGi14OQg5yIIcaOkvEW7ZKGyYGT3IfT37MeXaTs5lHuEN4+9y0DPCO7sdTudrZ2MHbFda9Bo2Hkok20/p9Og0WJnraaypp6urnZ4u8lr3ELcKClv0a45WjnwUNB9DPUazKbULzmcH8fxoiRu9xvLyG5DUKvkR6Ct5ZdU8sGOZNKyy+jsYMXsiUH08nYiu+gS3m722FjJzIW4UfJTJDoEP6ce/GPAkxzMOcxXZ7/hizNfcyDnMPcFTCHQpbex47ULWq2WH+NziP7+DDV1DQwK8mDGuD442DYuuuLvJUc7hGgrei3vpUuXkpCQgKIoREVFERYW1nTfoUOHeOONN1CpVPj5+fHKK6+gUsk714T+qBQVQ7wHE+4Ryo6zu9mffYiV8WsIdw/l7t6TcLFxNnZEs1VaUcPH36RwPK0YO2u1XFRECD3TW3nHxsaSkZFBdHQ0aWlpREVFER0d3XT/Sy+9xLp16+jSpQsLFixg//79jBgxQl9xhGhib2nH/X3u4havQWxK/ZL4wkSSilO4rccoxvgMx9JClue8FkdSCli3+xQVVXWE+Drzt9uDcOlkY+xYQrRreivvgwcPMmbMGAD8/f0pLS2loqICB4fG99zGxMQ0/dnFxYWSkhJ9RRHisro7evN05OPE5h3ji7Sv2ZG+m0O5h7kn4A5C3YKNHc/kVVbX8/neVA6cyMNSrWL6mN6M6t8Nlbx3Wwi901t5FxUVERIS0nTbxcWFwsLCpsL+/f8FBQX88ssvLFy4UOc23d0d9RPWjMlMWrrWmUzyGMmowMFsSfqanad/4L3ja4ns2peHI+6li6P5vx9ZH8+RxDNFvLnxGIUlVfTq3pmnH4iku6f5PBfl56YlmUlzpj4Pg52wdrmrPhUXFzNv3jyWLFmCs7Pu1xsLC8v1Ec1subs7ykz+4kZmMqHbbfTr3I/Np7dxLPcEx/NOMsZnBON8R2FtYdXGSQ2jrZ8jdfUNbP3xLHsOZ6FSFO4Y4sukW3xRq8zn51N+blqSmTRnSvNo7ZcIvZW3h4cHRUVFTbcLCgpwd//jqkEVFRXMmTOHRYsWMXToUH3FEOKaeDl0YUH4HOIKE9l6eju7Mr7n17xjTO09iQj30A69nGdGXjkf7Egmu+gSni52zJkUTE+vTsaOJUSHpLfTu4cMGcLu3bsBSEpKwsPDo+lQOcB///tfZs2axfDhw/UVQYjroigKkR5hvHTTP7itxyjKa8v58MRnrIxfQ+6lfGPHMziNRsvXB8/x73VHyC66xKhIb/6/vw2U4hbCiBTt5Y5nt5HXXnuNI0eOoCgKS5YsITk5GUdHR4YOHcrAgQOJiIho+txJkyZx//33X3F7pnIYw1SY0qEdU6GPmRRUFrL59DaSi0+hUlTc2m0oE/zGYKs2/TOqb3QeBSWVfLDjJGeyS3FysOKR24Po29O1DRManvzctCQzac6U5tHaYXO9lndbM5VhmgpTeoKZCn3NRKvVcqL4JJtTt1FcfYFOVo7c1WsiAz0jTPpQ+vXOQ6vV8lNCDhu/a1xwZWCgBw/d9seCK+ZMfm5akpk0Z0rzMPhr3kK0J4qiEOoWTKBzb/Zm/sjujO/5JHkjP2cf4t6AO+nu6GXsiG2mtKKGtd+kkPD7giuTgxkc7GnSv6QI0dFIeQtxDSwtLJngN4ZBXSKJObOD+MITvHr4LYZ538yknuOwt7QzdsQbcvRUAZ/salxwJaiHM49MlAVXhDBFUt5CXAdXWxfmhM7kZHEqm09/xU/ZBzhWkMAd/uOJdA8jr7KQrvae2KjN4/KXldX1bNibyi+/LbjywJjejJYFV4QwWVLeQtyAINcAopyf4oesn9l5bi+fp2xlU+pX1Gvq8bTzYPGAJ02+wE9llvDBjmSKy2ro0cWROZOC8ZLLdgph0qS8hbhBapWasT1GMrBLBJ+e3ETKhdMA5FcWcDg/jmHeNxk54eXV1TcQ89NZ9sRmofx5wRULuUCQEKZOfkqFaCOdrZ2Y03cmLtadmz628VQMbx1bzemSNCMmaykzv5yXPznC7tgsPJxteeGhSO4c1lOKWwgzIXveQrQhG7U1/xz8DLmX8qlpqGFv5o+cvJBKalwavTv35Ha/MfTu7G+0M7c1Gi3f/JrBl/vTadBouTXCm/tu7YW1lYVR8gghro+UtxBtzEZtjZ+TDwCBLr1JL81g57m9JBef4q249/F38uV2v7H0ce5l0BIvuFjFBzuSOXO+ccGV2bcHEWrmC64I0VFJeQuhZ35OPZjf7xEyyrLYmb6XE8UnWRm/hp5OPZjgO4YglwC9lrhWq2X/8Vw27D1NTV0DAwI9mNlOFlwRoqOSFdbMmCmtAmQqzGEmmWXn+ebcdxwvSgLAt5MPE3xHE+Ia2KYlXl1bT35ZDTHfnyHxbDG21mpmjAvgpg6+4Io5PEcMTWbSnCnNQ1ZYE8JE+HTqxmNhs8gqz+Gbc3tJKDzBu8c/podjdyb4jaava9ANl2tJeQ3/WnuYsku1APTp3pk5k4NlwRUh2gkpbyGMpLujF3NDZ5Jdkcs36XuJK0zkveNr6e7ozQTfMYS5BV9TiWu1Ws7mlPFjfA6HkvOob/jjoNrdI3tKcQvRjkh5C2Fk3g5deTT0IXIq8th17juOFRzn/cRP8Hboyu2+YwhzD0GltP4WrkvVdRw4kcdPCTlkF14CwLWTNTV1Giqq6ujqakc3d4dWv14IYX6kvIUwEV4OXZjd90EmXBrDrnPfcTQ/gTUnPsXLvgsT/MYQ7t63qcS1Wi2pWRf5KSGHI6cKqavXYKFSGBDowYh+XgT5OlNb10BlvRY7tYKNlfyoC9GeyAlrZsyUTqowFe1pJnmXCth17nuO5MehRUtXe09Gdh1JeY4r+4/nkXehEgBPZ1uGh3sxpG9XOtlbNdtGe5pHW5GZtCQzac6U5iEnrAlhZrrYe/BwyDTG+45ic9IuUsqT2HAmGk2VPRpVLwYHhzGiXzf6+HTu0GePC9ERSXkLYaJKK2r4OTGXnxJyKLzYDcXamU5+WdR1ykDVM4E8u2xKrUaj0YZjocgKaUJ0JFLeQpgQjUbLifQL/JSQQ8KZIho0WqzUKob07cKIcG/8vTtRXF3C7nPfcyjvCOtORvPNub2M9x3NQM8ILFRS4kJ0BFLeQpiAC2XV/Hw8l/3HcyguqwGgu4cDI8K9uCnYEzubP1ZDc7N14cGgexjvO5o9Gd9zMPcIn57cxDfpe7nNdzSDu0RKiQvRzskJa2bMlE6qMBXmNJMGjYbjacX8FJ/D8bPFaLVgbWXB4CBPRoR74dvF8apey75QXcK3Gfs4kBNLvbYBVxtnbusxinD3vtTZVGFT62jy1xQ3JHN6jhiKzKQ5U5pHayesSXmbMVN6gpkKc5hJ0cUqfjqey8/Hc7hY0bgCml9XR4b382JQkCe21td3QKyk+iLfZu7jl5xY6jX1qBQVGq0GD1s3nhu4UAr8SIM51gAAHB9JREFUN+bwHDE0mUlzpjQPOdtcCCOqb9AQf7qIHxNySE6/gBawtbbg1khvRvTzwsfz8j+g18LZpjP3BdzJuB63sjV1B8cKEwAoqCpibdIGJviNxsexm5yZLkQ7IOUthB7lX6jkp4QcfknMpayyDoBe3k6MCPdiQKAH1pZt/9p0Z2snHgy6h6yK8xRWFaNSVCQWJ5NYnIy3Q1eGeA1moGcEdpa2bf7YQgjDkMPmZsyUDu2YClOYSXllLT/EnSc5vYTU86UA2NuouaVvV4b364q3gZYqra6vodqqHOsae86WZXIg51eOFyWj0WqwVFkS6RHGEK/B9HTq0aH2xk3hOWJqZCbNmdI85LC5EHqWU3SJ74+d54e4bH7/lTigmxMjI7zp38cdS7VhzwC3UVvT3dWNwsJyQlz7EOLah9Kacn7NPcIvubH8mneUX/OO0sXekyFegxjUJRIHS3uDZhRCXB+9lvfSpUtJSEhAURSioqIICwtruq+mpoaXXnqJ06dPExMTo88YQuhNTV0DR1IK+DEhhzO/7WX/2b2jeuHv5WSEZJfnZO3ION9bGdNjBKklaRzIiSW+8ARbT2/nq7RvCHfvyxCvwfTu3LND7Y0LYW70Vt6xsbFkZGQQHR1NWloaUVFRREdHN92/bNkygoKCOH36tL4iCKE3mfnl/JSQw8GkfKpq6gEI8XXm5r5d2HEgg7wLlXR1tcPbzTT3ZFWK6v9v796D2yzvBY9/dbeti2PJlu/Oxbk4cRKHYAjBuRwgWbLdsMvOYZJAIVwyZZlJyZbS9tB0WzMspTlTYGZPu9OWne5MS9tZLhNY2sOWHigBGnIncWzHgcSJHd8t2bEl2brr3T/kKFEcO6HEeqX495nxWNL7Wvr5N6/00/O8z/O8VNnnUWWfhzfk40DvET7tPsjhvmMc7juGMzuf20tu5bbiWqxGuSKZEOlmyor3vn37WLduHQCVlZUMDw/j8/mwWOIfBE899RRDQ0O88847UxWCENdVIBThYEs/Hx3r5myPB4Bci5G7bp7J6qUlFMyIDwBbPr+ALvcIpfnmjLial9VoYV3FWu4qX0PrcBt7uw9wtP84b7e+yx/PvMfS/EXUlaxggX3upJcmFUKkzpR9srjdbqqrqxP37XY7LpcrUbwtFgtDQ0Nf6jknOnE/nUlOxrueOVEUhdOdQ7y3v52Pj3biD0bRaqB2YSF33zaTWxYWotONL2jlpXnXLYav6svkw+lcysp5S/GFRvik7SAfnNnLUVcjR12NOM0O7pxTxz/MXok9e8YURjz15H0znuQkWbrnI2XNgusxqD1dRv+li3QaEZkurldORgMRDpzo5aNj3Zzr9wFgt5n4d7dUsHppMXZbFgCDgyNf+bWm0lfJR21eLTcvv5k2zzn2dh/kSN8x/k/jO7ze9CeqHVWsKlnBIseCjGuNy/tmPMlJsnTKR8pHmzudTtxud+J+f38/BQUFU/VyQnxliqLQ2u3h42PdHDzZRygcQ6vRcNO8fNYuK2XxbDta7fQaxKXRaJidO5PZuTP5x3n3cLjvKHu7D9LoPkGj+wQzTLmsLL6F20tuwZ6VPr0NQtzopqx419XV8bOf/YwtW7bQ3NyM0+lMdJkLkU58/jD7mnv5+Fg3Xe54Szo/N4u1y0qoW1LMDIssKwqQrc9idelKVpeu5Jynk73dBzjcd4z/1/Y+f277gIWO+awqWcFix0K5MIoQU2zKivfy5cuprq5my5YtaDQa6uvr2b17N1arlfXr17Njxw56e3s5e/YsDz30EJs2beKee+6ZqnCESKIoCl90DPFRQzeHT7qIRGPotBpuqXKyZlkJC2fmoZWpUhOqsJVRYSvjP8/dyGf9x9nbfYATA59zYuBzbEYrtxXXUldyK/nZDrVDFeKGJCusZbB0Oi+TLq6WE89oiE8be/m4oZvewVEACu05rK0p4fYlRdhyjKkKNSVSeYx0+XrY232Qg72f4Y/4AajKm8ftJbdSlTeXfv8AxeZC1S+QIu+b8SQnydIpH7LCmpi2YopCS/t5Pj7WzWdfuIjGFPQ6LbdVF7K2poT55TNkQZLroNRSzKb5/4l7K7/G0f7j7O0+yMnzpzh5/hQaNCgozDDl8r3aJ8k12dQOV4iMJsVb3LCGfEH2NvbwcUM3rqEAAKX5ZtYsK2FldRGWbIPKEd6YjDoDK4pvZkXxzfSO9PHu2fc50h+/wtlQcJgffvoT5udVsjh/IUscC3Fk21WOWIjMI8Vb3DACoQgtbYO0dZ5nf3Mfx065iSkKRoOWVUuKWbOshMoSm7SyU6jIXMgDVffR6eumb9SFWZ+DzWSlZfALWga/4A3+L8XmQhY7FrI4fyGzbRUy2E2IayDFW2Q8RVE40+Phf7xxHJ8/nHi8otDC2poSViwqIidLDnW1ZOlNfK92Bz0jfYlz3oOB8zQPnKTJ3cLn50/zb+f28G/n9mDW57DIsYDF+QtZZJ9PjiFH7fCFSEvyiSYyUjgS5eS5IRpOu2k4PcCAJ5C0/bH/UMWqJSUqRScul6U3MTu3InHfnpWXmHYWiob4/PxpmtwtNA2c5FDfUQ71HUWr0VKZO4vF+QtZ7FhIYU6B9JoIMUaKt8gY571BGs8M0HDaTXPbIKFwDIAck57aqgJOdw4z5AtR7MihdoFT5WjFtTLqjCzJX8SS/EUoikKnr2eskLdweugsp4bO8NbpfyU/28GSse71uTNmo9fKx5eYvuToF2krpii093oTrev2votTN4odOdTMzaem0sHcslx0Wi2BUITRiEKOXpMRFwQR42k0GsqtJZRbS/j3s+/CE/LSPPA5Te4WWgY/58POv/Fh59/I0pmoss8fa5VXyZXPxLQjn3AirQRCEZrPnqeh1c3x1gE8IyEAdFoN1bPyWDpWsJ1548+FZhn1lJemz/xM8dXZjFZWFteysriWSCzC6aGzNLlbaHSf4JirkWOuRjRomGkrTwx6K7MUS/e6uOFJ8Raqcw35463r1gE+P3eeSDS+bpAtx8CqJcXUzHWwaJadbJMcrtOZXqtPXIP8H+fdQ9+oi6aBFprcLbQOt9HmOcefzr7HDFMuix1VLM5fyIK8uRh1N9bCO0KAFG+hgmgsRmuXJ1Gwu90Xr8xVUWihpjKfmrn5zCq2yhKl4oo0Gg1FZidFZifrKtYyGh7lxOAXNLlbODHwOX/rPsDfug9g0OpZkDc3MegtW5/NqQE3WRGr6iu9CfFVSPEWKTESCNN4ZoDjpwdoPDPASCACgFGvZdncfJbOdbB0jiNxqU0hvowcQw61hcuoLVxGNBblrOdcYtBb08BJmgZOAm+h1+iIKFFyjTaeWPowZdbSjLukqRAga5tntHRaf/dyiqLQMzBKQ2t8sNnpzmFiY4ea3WYaa107qKrIw2i4fotypHNO1CD5ALd/kKaBFg71HqXNcy5pm1FnpMxSQoW1lAprGeXWUgpzCqbdQjFynCRLp3zI2uZiyoUjMb7oGJt73epOLEmqAeaU2hLd4WUFZhlQJFImP9vOP5TVcVtRLf98+F/oH3VhNVhYkDeX7pFezg63c2a4LbG/QWugzFJCubU0XtRtZRTlOKddQRfpTYq3+LspikKne4RDLX109o/Qcu48wVAUgGyTjtoqJzWVDpZUOm64q3WJzJOlN/FPtTsIGL1khS6e8w5FQ3T6eujwdnHO20mHt4t2bwdnPe2JvzVo9ZRYisda5yVUWMsoNhfKXHOhGjnyxDWJKQqu837aer2093lp7/XS1uPBP1asAfJnZLG2poSaSgfzymeg18m5RJFesvQmyh35SV2iRp2RObkzmZM7M/FYOBqma2SsoHu66PB20untpt3TkdhHr9FRYimi3FpGhbWUcmspJZZiDFLQRQrIUSbGiSkKfYOj8QLdGy/U5/q9+IPRpP3sNlNS8f4v/7GaypLcVIcrxHVn0BmYZatglq0CSuOPhWMReny9idb5OW8X3b4eznm72Dv2dzqNjhJzIeVj588rbKWUmosx6OQKduL6kuI9zcViCj0DI7T3XVqofYnub4ifsy5y5FAz18qsQiszi6xUFFrRaOC//+YwPQOjFDtyKM03q/ePCDHFDFo9FbYyKmxliccisQg9I/10eDs55+2iw9tFl6+bDl839MT30Wq0FJsLx86hx4t6QbYdt/984kItQnxZUrynkWgsRo97NFGk2/viLeoLa4QDaDRQ4jAzs8jKzEShtky43OgPH66lyz1Cab5ZliQV045eq08s53r72GPRWJTe0f6xYh5vpXd6u+ny9bC/53DS3xu1BhY7FpKXPYMZRhs2k41co3Xst00Ku5iQfNreoCLRGN3ukaRz1B39PsKRi4Vaq9FQkm9mVlG8SM8sslJeYMFkvPZRtVlGvXSVC3EJnVZHqaWYUksxK4trAYgpMXpH+unwdtHkPslnrgYAQrEwn7mOT/hcJp2RXKONXJMNm9FKrumS22OP55qsZOmyZAbHNCPFO0MFQhE+bx8kR69Bp9XS5fbFW9Nj56k7Xb7EMqMQXxu8ND/eoo4XaxtlBebrOsdaCHFlWo2WEksRJZYiagoW0zXSQ99oP4U5BXxjyVYCkSDDIQ+eoIfhkJfhoIfhkIfhoAdP0IvLP4DCxEtyGLSGeCFPtNrHCr3Rhs10sdDn6LPHFflAJCirzmUgKd4ZZjQQ4WzPMP/rTy14RkLodVpisRixS97Xep2G0gJLvEiPdX2XFVgw6GX0txBqy9Kb+F7tk/SM9F3zOe9oLIon5MWTVNi9eMYK/HDIiyfo4cxw+6RFXq/Vxwu8Md5itxjMHHM14QuPkGfKZdviB8nPdmA25MjKc2lOVlhLU9FYjN5BP10uHx39Pjr7fXS6RhjwBMbtW+zIoaoiL3GeurTAPG2naaXTykjpQPIx3o2ck5gSwxvyJbXah5MKfPy+J+QlpsQmfB6dRofNaMVmsiadi7+8+95iMN+QRT6djhFZYS1NKYqCZyREh8tHZ/8Ina54oe4eGCUSTX5z5ZqNVM+2U2TP5vBJF8MjIYrsOfzw4VoZLCaEQKvRJgorV/7MB+JFfiQ8Sv+om//d/HuGgsNYDGZq8qvxRUbxBD0MBT3xue1Kx4TPo9VosRosiXPvuZcV+gvd9laDRVaou86k5Z1CwXCUbvcInf0+Olw+ulwjdPT78PnDSfsZ9FpK882UOS2UFVgoLzBT6rQkrVIWCEUYjSjk6DVSuC+RTt+Y04HkYzzJSbJAJDhu1bkLFEVhJDI6QSs+ufs+HItM+BoaNFiNlkta72PF/pLbWbosvCEf5ZYSsgzqXqAonY4RaXmnUExRcA/56XRdLNSdrhH6B0fHnY1yzshmXlku5WOFusxpwTkjG6128pGjWUY95aXpc4AJITLTlVadu0Cj0WAxmLEYzJRaiid8DkVR8Ef8FwfbBeNd84liP1bg+0Zd8TnwV4tJZyJLn4VJZyJLZ8KkN2HSGcffnnC7KbHdqDPckF37U1q8X3jhBRoaGtBoNOzcuZOlS5cmtn366ae8/PLL6HQ61qxZw/bt26cylCnj84fpGivOHf0+Osda1MFw8mpk5iw988tnjBVoM2UFFkoLZG60ECLzaTQacgw55BhyKDYXTrifoigEosGkVvtwyEOHp4vD/ccS+1mNlnirPzzCYOA84Vh4wue8amxoMOoMiWJ+efE36Uxk6S/cNqLT6tD2KVgUG1ajZWybMWm/dPgyMGWV4+DBg7S3t/Paa6/R2trKzp07ee211xLbn3/+eX79619TWFjIgw8+yN13383cuXMnfL4L06K+SrGLxRSisRiRqEI0NvYTjSVuR6IxooltV77t84c51TnE8EiYnoERznuDSa+h02ooduQkurzjP2byrCaZhymEmNY0Gg3Z+iyy9VkUmp2JxwORIB2+7rHpc06+V/tkUhd+NBYlGA0RjAYJRoMEokECkWDisfjti9uCkdDF29EgwUj8tj8aYCjkIRQNfaX/w6C98GXAiElvSvpicOHxcb0AE3xpyNKZJhwPcGEa3zzH7HHbpqx479u3j3Xr1gFQWVnJ8PAwPp8Pi8VCR0cHubm5FBfHu2HWrl3Lvn37Ji3e3/mXTzAZdMwptYHCFQpsciGORi8t0vH9rvfJ/RkWI0vmOBIt6fICC0WOnGk70lsIIf4eV5s+p9PqyNFmk2PIvi6vF1NiF78MRC4U+RDnvJ28dfpfE/vdXnwL2frsi18CrvClwecfJRgNTjpF72r0Gl3yl4Cx7v52TweBaJDXN/9i/N/83a92FW63m+rq6sR9u92Oy+XCYrHgcrmw2+1J2zo6Jh7ReEEwHKWl7Xzivk6rQafTotfFFyrR6+L3TUYtOq0hcV+v06DXadHrtMl/o9Oi12rRjW1P/NYm39eP7T8wFODtj1sTr//fHlvBgpn2K4WaMhMNZpjOJCfJJB/jSU7GUz8nVsrJVzWCm8NVHOw7Qpe3l1JrEU+sfOCaBs8pikIwGooP/gsH8EeCBCIB/OH470AkiD889ntsn/jtQHx7OP64PxJgOOwhMBogOslUPkjhgLXrMai9MC+bZx68GXOWHp1Wk/Ju6EAowoHmnsSFOHL0GlUHjKXTiMh0ITlJJvkYT3IynuTkom/ftD0x+t47FMbLlznfrkFHNhaysQAYxn6+pPj5/lFeOvI/6fe7r7jPlBVvp9OJ233xRfv7+ykoKLjitr6+PpxO57jnuNSLO1arPi0qy6iXC3EIIcQNbLLR96mi0WiwGM380y3/lYDxynFM2cnZuro63nvvPQCam5txOp1YLBYAysrK8Pl8dHZ2EolE+PDDD6mrq5v0+RbMtKdFsbxwIY50iEUIIcSNK0tvuuJgNZjClvfy5cuprq5my5YtaDQa6uvr2b17N1arlfXr1/Pss8/y9NNPA/C1r32N2bOvHKAQQgghkskKaxlMzlONJzlJJvkYT3IynuQkWTrlY6KBhDKnSQghhMgwUryFEEKIDCPFWwghhMgwUryFEEKIDCPFWwghhMgwUryFEEKIDCPFWwghhMgwUryFEEKIDJNRi7QIIYQQQlreQgghRMaR4i2EEEJkGCneQgghRIaR4i2EEEJkGCneQgghRIaR4i2EEEJkGL3aAVzJCy+8QENDAxqNhp07d7J06dLEtv379/Pyyy+j1WqZPXs2P/7xj9Fqb+zvIJPl4/XXX+fNN99Eq9VSVVVFfX09Go1GxWhTY7KcXPDSSy9x7NgxXn31VRUiTL3JcnLnnXdSVFSETqcD4MUXX6SwsFCtUFNisnz09PTw7W9/m3A4zKJFi3juuedUjDR1JspJX18f3/nOdxL7dXR08PTTT3PPPfeoFWrKTHac/P73v+edd95Bq9WyePFifvCDH6gY6WWUNHPgwAHl8ccfVxRFUU6fPq1s2rQpafv69euVnp4eRVEU5cknn1T27NmT8hhTabJ8jI6OKlu3blVCoZCiKIry0EMPKUeOHFElzlS62jGiKIpy6tQpZfPmzcqDDz6Y6vBUcbWc3HHHHYrP51MjNFVcLR87duxQ/vKXvyiKoijPPvus0tXVlfIYU+1a3jeKoijhcFjZsmXLtDheJsuJ1+tV7rjjDiUcDiuKoiiPPvqocvToUVXivJK0a7Lu27ePdevWAVBZWcnw8DA+ny+xfffu3RQVFQFgt9s5f/68KnGmymT5yM7O5je/+Q0GgwG/34/P56OgoEDNcFPiascIwK5du3jqqafUCE8V15KT6WSyfMRiMY4cOcKdd94JQH19PSUlJarFmirXeoy89dZb3H333ZjN5lSHmHKT5cRgMGAwGBgdHSUSieD3+8nNzVUz3CRpV7zdbjd5eXmJ+3a7HZfLlbhvsVgA6O/vZ+/evaxduzblMabS1fIB8Morr7B+/Xo2bNhAeXl5qkNMuavlZPfu3dx6662UlpaqEZ4qruU4qa+v5/777+fFF19EucEXVpwsH4ODg5jNZn7yk59w//3389JLL6kVZkpdyzEC8MYbb3DfffelMjTVTJYTk8nE9u3bWbduHXfccQc1NTXMnj1brVDHSbvifbkrfcgMDAzwxBNPUF9fn5T46eBK+Xj88cd5//33+eSTTzhy5IgKUanr0pwMDQ2xe/duHn30URUjUt/lx8mOHTv4/ve/z6uvvsqpU6d47733VIpMHZfmQ1EU+vr62Lp1K7/73e84ceIEe/bsUS84lVzps+To0aPMmTMn0Uiabi7Nic/n41e/+hV//vOf+eCDD2hoaODkyZMqRpcs7Yq30+nE7XYn7vf39yd1Bft8Pr7xjW/wrW99i1WrVqkRYkpNlo+hoSEOHToEQFZWFmvWrOGzzz5TJc5Umiwn+/fvZ3BwkK9//et885vfpLm5mRdeeEGtUFPmau+be++9F4fDgV6vZ82aNXzxxRdqhJkyk+UjLy+PkpISKioq0Ol0rFy5klOnTqkVaspc7RgB2LNnDytXrkx1aKqZLCetra2Ul5djt9sxGo3U1tbS1NSkVqjjpF3xrqurS7QKmpubcTqdSd8Cd+3axcMPP8yaNWvUCjGlJstHJBLhmWeeYWRkBIDGxsa06taZKpPlZMOGDbz77ru8/vrr/PznP6e6upqdO3eqGW5KTJYTr9fLtm3bCIVCABw6dIh58+apFmsqTJYPvV5PeXk5bW1tie3T/X1zQWNjI1VVVWqEp4rJclJaWkprayuBQACApqYmZs2apVao46TdVLHly5dTXV3Nli1b0Gg01NfXs3v3bqxWK6tWreLtt9+mvb2dN998E4CNGzeyefNmlaOeOpPlY/369Wzfvp2tW7ei1+tZsGABd911l9ohT7mr5WQ6ulpO1qxZw+bNmzGZTCxatIgNGzaoHfKUulo+du7cyTPPPIOiKMyfPz8xeO1Gdi3vG5fLhcPhUDnS1LlaTrZt28bWrVvR6XTcdNNN1NbWqh1yglwSVAghhMgwaddtLoQQQojJSfEWQgghMowUbyGEECLDSPEWQgghMowUbyGEECLDpN1UMSGEOj766CNeeeUVtFotfr+fsrIynnvuOWw2m9qhCSEuI1PFhBCEQiFWr17NH//4R5xOJwA//elPcTgcPPbYYypHJ4S4nHSbCyEIBoOMjo7i9/sTj333u9/F5/Px29/+FoAPP/yQmpqaxEpt27Zto7GxUZV4hZjupHgLIbBarTz55JPce++9PPLII/ziF7/gzJkz3H777Rw+fBiAAwcOUFtbS0NDA+FwmLNnz1JdXa1y5EJMT1K8hRBA/Op0f/3rX7nvvvvo7u5m06ZNtLS0JK6kdPz4cR544AEOHjxIY2Mjy5YtQ6uVjxAh1CAD1oQQAPj9fvLy8ti4cSMbN25kw4YN7Nq1i8rKSo4ePUpOTg4rVqzgD3/4A1qtdlpc1U+IdCVfm4UQfPLJJ2zevBmfz5d4rKOjg5kzZ1JXV8cvf/lLamtrsVgs+P1+Dhw4QF1dnYoRCzG9SctbCMHq1atpa2vjkUceITs7G0VRcDgc/OhHP8Ln8/H888/z+OOPA7B48WL2799PYWGhylELMX3JVDEhhBAiw0i3uRBCCJFhpHgLIYQQGUaKtxBCCJFhpHgLIYQQGUaKtxBCCJFhpHgLIYQQGUaKtxBCCJFhpHgLIYQQGeb/Ay4uCeDf9AaQAAAAAElFTkSuQmCC\n",
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