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@bradyrx
Created April 10, 2020 16:37
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A comparison of the resulting ACF when using a classical ACF approach vs. an autocorrelation coefficient approach.
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# ACF vs. autocorrelation coefficient formulation\n",
"\n",
"Date: April 10th, 2020\n",
"\n",
"Author: Riley X. Brady\n",
"\n",
"---\n",
"\n",
"This is a comparison of using the `ACF` definition vs. the `autocorr` coefficient definition for computing autocorrelation. The former creates anomalies and standardizes by the whole time series statistics. The latter uses the lagged sub-series statistics.\n",
"\n",
"The difference seems to only matter when there's a trend in the time series, likely due to the anomaly generation step."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import proplot as plot\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`autocorr`"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def autocorr_coef(X, lag):\n",
" \"\"\"Compute autocorrelation coefficient.\"\"\"\n",
" y1 = X[:(len(X) - lag)] # beginning to end minus lag\n",
" y2 = X[lag:] # lag to end\n",
" # Create anomalies by sub-series means.\n",
" sum_product = np.sum((y1 - np.mean(y1)) * (y2 - np.mean(y2)))\n",
" # Normalize by standard deviation of sub-series.\n",
" autocorr = sum_product / ((len(X) - lag) * np.std(y1) * np.std(y2))\n",
" return autocorr"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`ACF`"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def ACF(X, lag):\n",
" y1 = X[:(len(X) - lag)] # beginning to end minus lag\n",
" y2 = X[lag:] # lag to end\n",
" # Create anomalies by whole series mean.\n",
" sum_product = np.sum((y1 - np.mean(X)) * (y2 - np.mean(X)))\n",
" # Normalize by variance of whole series.\n",
" autocorr = sum_product / ((len(X) - lag) * np.var(X))\n",
" return autocorr"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Time Series with Polynomial Trend"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"X = 25*np.random.rand(100,) + np.polyval([0.01, 0.005, 0], np.arange(100))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<matplotlib.lines.Line2D at 0x11efa60b8>,)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"findfont: Font family [\"'Helvetica Light'\"] not found. Falling back to DejaVu Sans.\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 270.833x288.889 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 258,
"width": 269
}
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plot.subplots()\n",
"ax.plot(X)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"autocorr = [autocorr_coef(X, i) for i in range(50)]\n",
"acf = [ACF(X, i) for i in range(50)]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"findfont: Font family [\"'Helvetica Light'\"] not found. Falling back to DejaVu Sans.\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 270.833x359.028 with 2 Axes>"
]
},
"metadata": {
"image/png": {
"height": 346,
"width": 293
}
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plot.subplots()\n",
"p1 = ax.plot(acf, label='ACF')\n",
"p2 = ax.plot(autocorr, label='autocorr')\n",
"f.legend([p1, p2], loc='b')\n",
"ax.format(ylabel='correlation coefficient', xlabel='time',\n",
" title='Comparison of ACF vs. autocorr')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Time Series with no trend"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"X = np.random.rand(100,)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<matplotlib.lines.Line2D at 0x11f2a9be0>,)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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A/fj2DQPc+z3NTDAnxmZRsRMJSw0F7PgmVCvBthgwSWpoMZd6JgBFNgctWmUkc4jbbrfU0Skyx4nlNeXisd0yR6nixjoepcFEDIizN4csFfSu/RNSGpIaLEVmoneDiQoXTNiUOfhzmgyZI/r9p1oJtoKZ8DxPX7QqzeYAYMZMmKSGSk2ZbWYm6G9L6nVWmS+B9sscQLy+iTSYiAGCzBEzM3FsvoSnji0Ir9PUzzPW88FEL/fniCOY8DxPNGC2MptDMeHbKFyllDla4JmgKz1dOe1y1evZyq7ybA69zGHSm6P2WsSDi4hOYSZU5kugHcGEuL84pY40mIgBdAKxafBTTXx3SbI6aFGqTYMFDBaaA2+vMhOu64G9RLaCicVSVdiWzWvvB7VnIk4DZvwyB12F6sppA+J5WKu42PPCCUwuyo1x3QJ5NoePzCH1TIjbbrvMIZTTTiYzQQtW9TP3ZruLVgFpMNFxoBOIrAFP6G0rJr4794m+iVnCPKzrz2FdX7ODZa96JuIK9qhfQravOBGnzNHO3hz0d+nKaQP8RON5Hi77+wdx6VcexHmfuw8vz/G9U7oJqt4crARqVE7b8LVWomOYCSJznM6wwS0vpy25H1KZo8MQZwVMVTDx0xensUh6bVBmYn1fHuv7m+mhvZrNEVdXV1mKbiIMmFaYCXU2R9xpg9RUqcvmAPjV+N7ji3j40AwAYHJxDf/nGX1dlk6G7D72PF7mClNOG2h/G3KBmegQz0Q7gwkpM1FKmYmOQpwtyFW9ONaqLu57/gT3GvVErOvPp8wExIDMVrAnq7mQCAOmhftPNXiXq17sKWdUtqCyBg0u2OCDBng04O4mqO7j+vnwPM9Q5ugEZiKhwQTjmRgu5rjaPq3uvpp6JroAraoz8ZqxQe69u/bxqy7qiVjfn8f6/rzy/V5BXKm7UpkjCcFEjJ4JIH4TJtXHddkcAB/4LJDgoZXBXauh+m31ayerwSGjwk06ibYanSNzND0T20aKyDpO4+/Wdw1NZY6OR6ypocwN8rpt67BtpK/xN603QZmHdX05rGMi5V7N5hBMkl0vc8SXzQEA0yvxmjD9PRP83+zneymYUF3n+rWjrARgzkK0nZnoEJmDLVi1bV0fshkmmGi1ATNlJjofrSpalc86+O2zxxp/Pze1hBdONPtMUOZhXR/PTJQqbmJd0XEiruszLWF6Wjl56aSIqGgrM1Hx80xQZqL5eSprdHMw4cdMyFalpixEmhrqD9f1uFLa20b62spMtDqbI+f/ke7F5OQkpqamuNdKpRIymWgxVpwyB7v6yGUc/F9nj+F/P3ak8dq9z03hlaM1+YNlHvrzGRRyGc4zUf8MNbB1O0RmwpLMIWMmujybA4g/o4P+Ll+Zo6yROVotXLcQSs/EySBTykyYZnO0Xebg/07iImhyaY07d9tG+jDOBBfdns3R08HELbfcgp07dwqvj46ORtouvYa2aHTX9bjy2LlMBm96xUbuM/sn5cxEPYhgsznqn9kyXLRyfJ0CgZmIMzU0ATJHzc3vSN8zBbsSzGUcLgCLu9kXZVyEolWabI4F4l63aYZOGlS/rSFzSCbgTpU5kmjApAWrThkpYpJZYHR7nYmeDiZ27NiBq666invtmmuuSSwzQW+OXNbBtpE+9OUyjQH0eUbmYJmJuryxrp8yE71nwoyLmUhsNkfVQ9Rggp3QTxkp4shsc+CMW+bwYyaK2QDMRJfKHHShwaI+8ZoyE6ZVMVsJodFXAhu60bTQbSN9eHp8sfF3vfuq40R7Fk3Ras9ETwcTY2NjGBsb414rFouR8+YFA6al1RB9yHMZB5mMg1dtGsTT47Vy2gem2GCCZSZql3o9kTl6MaODruC6xoCpqoDpuohqj2KZiW0jfXww0W4DpsYz0SvBhO531c+HbCJxJRNcMmWO5DMTtFtozYDJf6bqeshluzOYSA2YMSAuGp1uJ3fSKfyq0WY30OdPLDeCITZQaDITfPzYixkdsRkwJSv0JMgctg2Yp67r496LXebwK1qlyeboFQOmzhfTYCYUEzC9RxNZZ0KQOZLITPCltLeN8NkcQGuDsjQ1tAsQV6MvuoKuBxNnbWrWm1heqzZMP2yg0PBMpMxEfAZMiWeipdkciskiqgHTdT1ugt7QX+Am9NgNmFXimcj7ZXP0ngFTN8boZA5AnOAS6ZnogK6hVOY4hdSZAFp7HtPeHF2AuOpMiDJH7fK9apQvXnVgagnlqssNHnXjpeCZ6MGS2vT6eB4id5qsup50Uk1GNke0Y6ADd38+g40Dzfso7mZfQZkJ9vOizJG8Fa0NqCrjAs3zoZpIBGZCsqmkyRzlqtf2AIdigmkkN1zMYaCQE5mJFt5+qczRBYiLRheCiWydmRjgXn9+alnoy6HM5uhFA6Zkco16jeZWy5CNt60a8DzP8/FMhAc1u/Xls9jABKWtTg2lwYNQTlvjmbCZpp0kGDETSpmD/N0BMgeQvPRQVu4bHaw9H6nMkSISxCjaEjOh8EywMgcAHDixJO0YCkCsM9GDMofsgY66YpWZL2vbbc3gUSFt1VlEnUCp2a3GTBQaf7e9aJWmzsSikBrancGETr7pRpkDSJ4Jk2Xo6s9HW2WOlJnofMTVNVSWzQEAZ6zvb/wbqMkcso6hADBYyHLRcspMnHwt4kN+QjGhtmrwUEkcQPRglprd+gkzEbcBsxSwzgTL0PRKNoeOfaoHYypmgkokps2/WgnZc5S09NATSwwzMaBgJtJgIkUQxCdzyA2YuWwGZ25kMzqWpB1DAcBxHKxn+3OkngkA0a+RyjfQKo1eF0ysWWcmstjAeCZmV8uRPSc6BGcmetAzYSBzqChuenvIW5CHPzYbkN3CHcFMpDJHiiigC8G4DZgA75s4MLUs7RhaB2vC7DRm4rnJRXzi+0/jfz96JHQ9ENlDFpU9UskcrTJcxctM6A2YngfMx9jaW/BM5P3qTFRPHpfXQ6mhumBC3egLkBkwO0XmSE5guLxW4YLe0STIHGkFzM6HWLQqXgMmUM/oqHUNnV0p48XpZe6zbLdQNrDoJGbCdT287X8+jMMzKwCADQN5/MFrtwbejlzmiOiZUMkcLVqJ6FLlbHsm+nJZbOgvcK9NL69x95VNCNkcpBJQQaiA2Zw86aPXramhuvu30ZvDsM5EIitgygyYlWpiZjAq9W1MZY4UNtDqolWAaML82ZFZ7m/WeMkGFp3ETBydX20EEgBw576JUNuRyhwRr5FS5mgRNaFlJqJmc0g8EywzAcRrwmTrTNSrvrJwHIeTPuorxEXJwNmbzIQFA2YCPRNJkjlojZnRwbrMwX+uledRds6W16qxSZJpMGEZsgsVVzntfFYdTPz8pTnubzYllGcmOieYoIPH/slFxSf1kE0okQ2YSypmItJmjaGXOexnc2wgLEScJkw2mKGSRuN1LpioHS/1SwCd45l48cQyfud/Pow3femnuOXhQ75Bqd4zoa8zQb+bxNRQ2e+jQW47oWQm2ihz+LWkt400mLAM2YPoeXZuItGA2bx8bEltAHiO6dEBUGai+e/5UiVW85xNUI10/8SS4pN6mDY3CgIVM9G12RyUmYgxKGV/G5U46mB9FPXPL0hKxXcKM/Hff3IAP352Eg8enMGf/Msvcf7f3o9/3Xtc6RPSXePVoOW0kyhzJJ2ZIJ6pUZUBs82eCSA+qcNKMLGwsICbb74ZF198MU455RScdtppuOyyy/ClL30Ja2vRquN973vfw3vf+1685jWvwejoKLZu3YoLL7wQ119/PX75y1/aOHyrUN0sNlZEqtRQAHjFxgGomtE5Tq0iWx0sS+F58hVcEkEHj6Pzq9IJww+yaxE9NTS52Rz2mYksV2cCiLfZF+sHoebLxussM3Ey+JEzE50RTDxLWLe9xxfxjtsexVv/4SE88fKc8HkTZiKSAbONModqsZOk1FBjz0QLT6NqLkpsMHH48GH81m/9Fnbu3Im9e/fWKvGVSnj88cdx44034oorrsDMzEzg7ZZKJVx99dW47rrrcOedd2J8fBzFYhGVSgUHDhzA1772NVx66aX48pe/HPUnWIXqAtqoNUG3wQYTffksTiMNmOoYKeY4nZkWruqU/hyylQgddE0gW8TFZsBMQjZHxN/WbpmDYyZyEWWODjFgqoKD+54/gd/60k+xf4K/7yM1+qKeCanMoT3cWKEKZBLFTJDFRBKKVqnuobjSQyMFE9VqFVdffTUOHTqErVu34vvf/z7Gx8dx/PhxfPWrX8Xw8DCefPJJfOhDHwq87b/5m7/Bj370IwDAhz70Iezbtw9Hjx7FxMQE7r//flxyySVwXRc33ngjfvGLX0T5GVahuvFtpIeq6kzUQX0TdVCXPf27UzqHygaPML4JKTMRkwGzG7I5hHLauawQTMRqwGT2T2tKNF5nGIuGAbODmQl9RUsXu5+b4j+vbUFerzPRmTKHat9JZiaSWrQKSCgz8Y1vfANPP/00AODrX/863vKWt9Q2msng3e9+N77whS8AAO6++27cd999gbZ9++23AwDe/OY34/Of/zy2bdvW2PYFF1yAO+64A0NDQ/A8Dz/4wQ+i/AyrUMscNjwT6tRQQB1MUCaCzeYAOoeZkA0eYXwTcXgmVAbMJGRzrEUcdP2KVgHxeiZWDZgJLpuj3PkGTPZ+PG/rMP75/Rdw71PJwm6dCcln2ihzqMbURDETxDNRX7C1s2hVRwUT3/zmNwEAl156Kd74xjcK77/nPe/BmWeeCQD41re+FWjb4+PjAIALLrhA+v66detw1llnAQAWF8O5+uNAnDKHmBrKXz7aPbSOdaS5l8hMdEYwYY+ZsBtMrFVcpe8kEdkcMcgc+WwGQ8UmGxBn51CemfD3TDQMmJ3MTDDXLJ9xcPH2Ddz7a2TG1wVJfjJH0rM5OkHmYO//9f155E4ahVOZwwDLy8t4+OGHAQBvf/vbpZ9xHAdXXHEFAODee+8NtP16EPLEE09I35+bm8OBAwcAqAOOdkA1ediROdSeCUDsHlrHeoGZ6FTPhIyZCOOZsFu0Srcqtzl4rJar2HHHkzjvf/wEtz1ymHsvXgOmmM0BgG/2FSsz0Zw01J4JUeZYKImTTacEE+xwkc04QmEuGkzQa8ymja9WXLiu17EVMJUyR4JSQ1nPFFuDJc3mMMD+/fvhnhyAzznnHOXnzj33XADA8ePHMT09bbz9D37wgwCAPXv24BOf+ASOHj0KoFYi94knnsB73/teLC4u4g1veAOuvvrqsD/DOloqcxh6JkRmgv+7kz0Tz04tBU5tlTITESZcVSnt2r7sDXg/ePo4bn3kMPYeX8SffucpLghUtR8H4iinXZu4uTbkrfJMqOpM5EWZQ+aZ6JQW5Ox9k8s4KOT0wQS9p9nsrZVyVeupSXrRqk6QOVhmYpQJsgVmootljtDFSOsyBICGn0EG9r3x8XFs3LjRaPt/8id/gqNHj+KLX/wibr31Vtx6660YGhrC2toa1tbWsGXLFnziE5/AJz/5SeRy/j/joosuMtrvCy+8gNNPPx0TE+GqK47Pl+SvT05h2A1XF6GOE7N8VcuF+Tmwhzlcld8kBa/C/Z7K0ir3/ktTs6F/bxRMTk4G+/yMmBK3vFbFky+8hFNHisbbmZmbF16bmp7BxES4B/3Ay+L26qi6nrVz++Sh441/r1Vd/OLAS3jtlloAOSU5N3UsrZQCn2sWMwvN+9YBMHNiEo7jYDDXPF9Ti6ux3UMrLC1brcj3U20GMyvlKiYmJjAxuyB8rFRWfN8iopzrOkrl5m/2qhXMzZzg3p+dX+R+xwly/QdzDupLt5W1Kg4dPQ4VpqZnMDHEtG1fWRE+Mzs335YxAgAmFH6kmYUl+J3q1YqLO341hfV9Wbzj7I1wVPnzETG52Bz3h3LNZ35pkR8b6LmOE2VFADl+YhYTE/LMvzqq1WrgcxWamVhYaD6o/f39ys+x77Hf8UMmk8Ff/uVf4itf+QqGhoYA1LwR9boVpVIJc3NzWF5e1m2m5VB6JiwwE3TblJkYKmYxNij2Rxgp8jrzSB//t4wOTiJU7u0D06vS11WQLU4rEVYMM4TZGS40z69NWp0SDGy5aF1n0Kj33iphBuqDzAauLHuMjb6Y36q1y+cAACAASURBVFbMygc4mWdCVk673cWXTMHeN7mMgzx51td8+mkMMvdg2fWk56IOek5kTF8S60yYNPr6sztfwH+560Xs+P4B3PYLdUAVBZ7nYZbpcbSBYX5p6fckZHOovDNRkZA2KSJOnDiB6667Dnv27MFb3vIW/MVf/AXOOeccrK6u4tFHH8WnPvUp3Hbbbdi9ezfuvPNOLTsCAI8++qjRfi+66CJ4nofNmzeHOu75jJx9WLduAzZvXhdqm3UMDPKT5tjoRmzezDM9rx4bwuQSX9fj1NH13O/ZQGalNScf+vfagOm+M4UT0tcn1nKBjr9/QAxqh4bXhT4H1Rf567J1pA8LJyuQuh4wNjZmZUVU7Oeva25guHHMuSL/XiGbaVDhTjaHsbExAObnmoWXPdj490A+29jG1vXHANT2u7jmYsPoJuQVFSqjgJU51g0NSH/DuqFjjX9XPWDj6CaUnYPC51w4LbvXo+zHc5rnsb+viNNO2cK9nyv0cdvvH+QXVRsG+4CpJsOQ6R9R7mtkHX/v5wqHhM8MDg63bYwo5UWmBACcXMH3vt5zuOm5e+DIMm74Xfu/YbFU4QL2bRua52rjyzyrQs91nHAhH3OcQr/vMWSz2YaNwRShn/zh4eHGv1cktJjsPfY7fvjwhz+MPXv24M1vfjO+973v4eKLL8a6deuwZcsWvOMd78CPf/xjjI6O4uDBg/j0pz8d7kfEADUzEb8BE5D7JqhnIp/NcCuXTsnmUOm++yeDyUeyaxTFV0BzzMeG+OqQthYj9B5iq39SzwSbaWHTM9HP1HOg6aFxGHkrVZc7fyYGTKAWgHR0NkeVZyZyGYercEsNt9Sbw3omAGBK6+tJuGdClc2h8YHUwaZFx1VYTSilPch4JhJpwExYNsfWrc3Wz3VzpAzse+x3dNi/fz9+/OMfAwCuv/566apubGwM73vf+wAAP/zhD5U161uNWFNDwwYTfaL0wb7WydkcQPCMDtupobT63eYh3r9hy4RJTaLsZEknlyFmMokqc7DnnQ0mhM6hMdxHsoJZMtBiVqsVF4sdnM1BDZiOw2d00NohdHwZIbVkdBOpkM2RtNTQCAZM9rfElXGkKqUNtLectjo1NGHZHGeffTYyJ+scPPPMM8rP7d27FwCwZcsWY/Plvn37Gv9+xSteofzcq171KgC1NFUbpicbUEWDdnpzkAqYEv2YNvwCxOwN+lonZ3MAwWtNSFuQWw0meGbC1kAsMBOaYIJdmcbGTLSgpDb9XUpmIk+DiWrXFK2qLxq4YEJIDdUzE6reMUAHpIYqxlST1FD2uOOqhSK0H9dlcyTAM7EUk0cudDAxMDCAiy++GABwzz33SD/jeR52794NAHjrW99qflBMMabDhw8rP8e6iwcH5WmRrUZrmQnx8nU3MyF/CA7PrgRKE5OlgUZJDWUn0aFilptwAXt9DURmovmb6aTLylhRK2BSA2YdQrOvGAZrKm0py2kTxmK1rJA5OiQ1lB1Hso1gojkx+aaGEmZCl77czamh7HdnVsqxdEgOxEwkIZhImswBAO9///sBAA888AAee+wx4f1du3bh4MGDANCQJExw/vnnN/592223ST+ztLTUqKr52te+NvHBhJU6E5rCNHXIggla8ZK+1jnMhHxS9DzguQC+CTkzEX7CZQfqjQMFQX6ytRqmcoWKmchmHC6giS5zmDETcdDI4ZmJDvdMcMxE7bextSb8ilaNCMyETuYgf3eIzGHSm4M9j54Xjz9MYCZ0nolW1pnolKJVQC2YOO+88+B5Hq699tpG/w3XdbFr1y587GMfA1CrkHn55Zdz37355psxMjKCkZERHDrEu4fPOOMM/O7v/i4A4Ec/+hF27NiBF154AZ7noVwu45FHHsHv/d7vNQKVj370o1F+hlUEafS17/gC/umhQ3hpVm1gZWHimdg4UBCCB9qLA+CDiU5nJoBgUoeUmbAkc4wO5GNbjeg8E7RKJJtKaFfmaA4Z1IDZCplD5ZkokiyS1XJV2egrKf4qHXxljgpNDfWROQIUVusUmSOoZwKI5x6l8snGBMgcrutBdZsnrmgVAORyOdx+++248sorcejQIbzzne/EwMAAXNfF6motXe7888/HrbfeGnjbf//3f493vetdePzxx/Htb38b3/72tzEwMIC1tTVUKs1B4mMf+1iDIUkCTGWOl+dWcMHnH8BqxcXYUAGH/+vbuM6HMpgEE0CtrPbPjjSL2MiYCTbAKFVcrJarvvtvN1aZwSPj8FkSQUyY0q6hER7yaa6UbiE205U2m4NthpXNcCmaNstpt9yAWTZlJvh7d2alrMyicT1AUa4iMeCCiayJZ8JH5ojqmUigzOHHTHieOKFOL5fxKlsHdhK0yV8SZA7d9UokMwEA27dvx4MPPohPfvKTOPfcc+E4DvL5PC644ALcdNNN2L17NzZs2OC/IYLR0VHs3r0bX/7yl3HFFVdg8+bNKJfLyOVyOPPMM3H11Vfjrrvuwl//9V9H/QlWYSpz3PvcVONhmFxcw2NHZmVfI9ugLcjll+/ssaHGv4eLOWmQ0IltyFeYwePVmwa5VLkgzIR1A+YSX0o3LpnDNJujmMtwEphVZoJhBoYK/IQVh7GLprwqy2mTIGNysTUlzuOA53ncOFK/n4oamUNXThvwCyb4v2XPQntlDvnrfsyE7JjjMGGy23QcvhcSLbvSqqBMd73i8kxYKVo1PDyMG2+8ETfeeKPxd2644QbccMMN2s/kcjlcd911uO6666IeYstgKnNQ/V/XqKm5DTNm4sOXbMd3fnkMqxUX//m3tks/Q4OJmeU1bBk2L0ndDrCDx/r+PM7cMIAXp2vFeoK0IrdpwFxeq3ArpNHBfGzUpmk2R1+eMBMR9u+6nrI3BmUJSopy7lGwSiYMU8/E5JK8rD1Qu9bFxJbrU1e6LUiqfNbhm82hKEkNSAyYUs+E5oBjRliZQxYUxcGesX6UDf15ruplu2QO3eIokTJHChGqh44GAmLRGf+bTJA5FFztf3jlKJ6/4QpML6/htafIK99R81yc5ZBtgRoBz9482AwmJhfheZ5RpUmbBkzRyS2ROWxlcxgaMItZe54JygywMged2KmObwOmngn6up6ZSLZnQpW1pZM5ojETHSpz+KSGypmJeD0ToyTDyUTmWFit4P/92RGcuXEAv3/uFuH9MNAzEwmVOVLwUMscpIS1z2Bgsg0VMwEA29b1KQMJQM5MJB1Uu2flnPnVCo4vqFejLGwWrRJzzPPtkTmY+6mYy1rzTKg6hgIQ2mKbsGtBQXVxFTNBXw9S8TFpUC0auNRQn6JVNJiY1ywWxNRQyWfaeM5Uz0/F9bTXUhYAxSFz8Nlc/Lhqks3x7q89ho/u+hWuvO1R3PGEugBkEOg9E5VYTMhpMGEZSpmD3PR+RWdkoJOJLpjwg8BMrHQWM9GXz+DszUPc+6a+CdnAGHaCoSud0UEZM9FamYN6JqJkMIjBRHPIyJws89w4hhhkDuPU0ADBRFQPSdyg90udKtczE82/Mw5fZ8QPdFyRyhxtZSbU7+kC2JYxE4x0wqaFAjKZg/+u63q457mpxt93P2un+KJOtnU9s7TaoEiDCctQZ3MQZsKGzKEwYJpAYCY6ID2UpTX7czwzAZj7JqwyE0tiWlhc2Rza1NAySQ0lrEFY3wT19tCCXEWNjm8DxkWryHFNdhMzIfFM0C6xLDORy2SURlUZjIpWJbDOBMCbsk2+Z5uZ8DyPZHP5MBPkmCokhZMGiWHhF/wtSdKmoyINJizDNJuDatEmBkDT1FATtKJJk01UXY970OqeCRaRmImQM34rZQ4aECyWqo2KfpSZoBJEWKmDMhN0Mtf1i7CBsMzE5KLGgNlpwYQsNVSzGMlnHSHo06FTy2kD+gBWdp1tMxPzqxXu3Ph6JjwaTASfB0zgd73i8E2kwYRlqLM5iMxBNU+DCYd9OBwHnGs4KNaTPPSkMxPU1d+fz2DbSB/XHdO01oScmbBjwBwdLMTm4K5IVi31QYENTvuIzAGEn0CpyU3LTMQgH9D9Kw2YXcVMyL1R2joTpDFYpGBCMoa5CTRgAnq6vhWeCbqYoCXm/cYCei/aujfpfqiHJg0mOgDGMgcJLsyYCX7AiAIqcySdmZAZAR3HwWsYqcO0FblNz4Qgc/TnhSwbWwOETKqoSx2CZyJjS+ZQGzDr+6ojDpkjLDOhrfiYcM+E6I2q/TbduWa/k89mlHIQIPopzGQOn4OOEfpgQmPAbEFqqLCYCCFzsDBZVJqAbpd2kU2DiQ6AscxBtGAjzwSni0YLJnLZDLeqTzozodLuWd/Ei9PLRlS77FyHlQHYHHPHATYMxMhMGAcTWZGZsCRz6IKJOGQOwTOh8ALQIEN3ypPPTCg8EwwzUXE9rmkVZSaKuQxUWdJ0lZr41FDNvrXMhOQt2zKHrpQ24C9zCMGFLZmD7Ie2VIijcFUaTFiGadEq0UAVbBKMYr6sY0MH9edYqcizCk5f39d4rep6Ro187MoczcFkfV+tL0ds2RySe2ShVEvzErM54mIm1J6JOGQOc2YiQPZCpwYTOf6+YgMInplw4DiOkp2gwQTdX6c0+gLCyBxlq2mRtBjY6CBhJhIic4yQztEpM9EBMO3NETWbIyozAQAb+ptRdPKZCbpCrU0edKUctC1xHWEfYjajok4ligbMeJkJqp/T1NAox9D+bA5Tz4T5UNZxwYTEgAnwRcLKkoWG6lxRyttvgpN9ppXQ7VtrwJQEt2tVF8sWJ1J/ZoL/vB8TYa0mDQ0mWuCZ6OkKmJOTk5iamuJeK5VKyERY9asWZ/TihitaxQwYFjoVre9vXv6kMxOiETBz8v/8gGnWltheo68y0aqB+Jr7yKSYhdWKdPUueCZiyuZIimcil3GE5m8qJD2YMKkzAfBjCDtx1gPJ/nxWukgQggkTz0QnyhyKr00vlzFoqZ46be0ePJujNczEuv74ZY6eDiZuueUW7Ny5U3h9dHQ09DZNZQ6/2voy2DRgArzMMRNDMRebUGn3dHIzYybE18JqlTQlD5BQm5YGYlkQtFCSBBNZkZkIK3PQwZoGb7oMAxug3iIVde84DvryWaNVZ+INmKpsDlq+nPkdZQlrSSWpOkJ5JhLKTOg9E/LvTa+s4fQN/ZGPC5AxE8FkDjo2RO3wq9rPSDF+maOng4kdO3bgqquu4l675pprIjITimDCBjMhWQVHAZvRMbtahut6kdJN44QqmBBljlYzE8yK8OR9E1c2hyzgmZcEE7TRFz3OIGh3Ngc7WWScmnFYhb5cxiyYSDgzYS5zuNLv1K+9rFswYBBMdFAFzFDBhMWFE5sams04Auvj16eHBrZxSaKtyObo6WBibGwMY2Nj3GvFYjGSQUf10NGJILLMYYOZYKJoz6utcteRlNGkQKXd09VXeM9EuImQqzyoYibiTA1VyBwFS8xEu4MJvmOp3mSpkkAoEh9MKFJD6TXlmImqyFqqmAk6sQgGzKQxE9qiVer3VN+zycLS6pe00WBwmcNSBUzfYCLN5kg81MyEvpx28GwOC56Jvs4pqS1Majm5Z8IkmLBZTpt9+OudOuPyTMjoebnMkRWYifAGTH02B5caGkvRKqZMuA8bZ5rRkfhgQpHNIbR892EmVIWr/GUO8TudKHOorrPNwlVcky/JQiyozNG61NA0myPxMM3mEMppt5mZAJJtwjTN5vBrSwzIVyw2DZhxZXOoilZJDZiUmQhtwKQSitozEQszwXVD9QkmFCtx+qh0ajChM2CWJTVoVP4SXwNm0mQOzb6D9uYA7Moc7LZoky/AgJkQsjli8kykqaGdB6XMITATwW8insq065kAks1MiEbAevpbcJlDFv2HXRHQYkFAjMyEIpighZ1kdSZCl9NW1Pdg91VHucoXUrIBNjj0S/9UTZ7ryEDaPQbM5rkuK7I5ZOgmA2bQrqFAfJ4JmhYKhKiAaenepNvtz2e4Y0lljg6AcZ2JBKSGim3IkxtMmBswWytzlEmxICC+bA5V0Sp5aqgtz0Rz244jro4pW2Bb6uCKcYWUOSgDF/ZctAqRDZiZoDJH89+qYDC55bSDFa0CatkcNuC6HrcAo6W0geQUrcplMlwZ9ZSZ6ACobgY7qaGWPROUmUhweqjagBk8m0Muc4QbLWVadWzZHIYyR5+MmbBQZ6LeD4WFjnq3AZYZ8TNgqpgLGjTb0qXjQpg6ExxrmdXLHEPFHFdqm30eVBNwUmUOfdGqeJmJ2dUy1z7ciJnwK6dtK5gg+8lm+J4sS6U0mEg8THtzhEsNja/OBFB7OJIKNTNhSeawkhoaXzZH1fUgG1OVRatiyObol0xOOlOgDdAy4Tqo3heCCUuO+bggMhMnszlIOW2uaBXHTOhljoF8lrtH2fOheg6SKnOshMjmsGXAFDsGi8wEHaZbxUzIMoIGC01GKpU5OgChZQ6jrqG9zEzItfswFTDjMmDmYqyAqZoAF0pVwcxr0zNBmQmKuIMJ9nrqOmHW3pdPnvQ+7xoDZoVlJsT7UBlMFLLcPcrePqp7NaktyMN4JmyNc0LHYAkz4TgOF1CIwUQ8dSZEZsJJZY5Og7kBk8gcBqulOBt9AZ3pmaDUdxJSQ+m1sTFAqLIx5J6JrOCZCCs/rHAGSP9gIlbPhG8woWAmBjosmBBWlfLUUNaAKbsPVbLPQD7LLUbYCU41ASe1zkS4Cph2xjnKcNBS2nWw44FfnQlbBkxRKkMaTHQajFNDaaOvNjATAwV+UOmUbI6Moy7ME7ZoVdiHWN6bw39/QaGaABdKFa4WA3CyaFXOTkDDehZkRZDoatk6M8H8Nr86EipPhShzJDyYUGVzCOe6eW5kxdNUzMQgZSaS7pkIWwEzZpmD9uWgpbTrYC8b/S2xeSZoMJEyE50H1Y0vFK1KQDaH4zjcqq1TmAnWCNjObA7P86QBXhzMhCqdUZ3NYavRV3Pb7ZA5AtWZMPVMJNyAaV5novY5eh82sjkUwddAgfdMJJ6ZIPs2rW2ieu4WS1WBGRa+W3Xx8yOzQm8YFqbMRFbBAsmOMS6zduqZ6ECYlNOuup7Q3dAom8OyARPgq2AmmZlQTWr5LJ8/bZTNIQsmQkwwdDuN1FAfB3cYqAyUpYqLRbLK6IvLgNkOz0SAOhNKA6Ygc3SqAVMuKQlpgFl/mUM1wamDCZMjjwf0eg0Vm/dhmKJVgH6sq7oe3vCFPXj9F/bgN/7mfiwrJl5qwFQyE46cBQIkwURMFTCFbI6UmUg+TBp9yaLddlTABNChzAR/27J/0yJLMthiJugE3ZA5fBzcYaAbZKgRLD4DpiSbI8sHGDY9E67Lr7jpviiUdSb6+RVj8mWOYAZM+nm/OhODhRwXTLDf7wSZg50Utb05NNdZJ3U8dHAaTxydBwA8O7mEbz1+VPo5+tzJKmACPswEea5NvHMmkKUXs+et4nq+7ExQpMGEZZi0IF8LmZpo24AJdBIzoV4hs5NIaGYixENM2aSGzGFpIuf2pTm+KWkwYb+ctmyypumKNpkJmqXiWwHTtM5EwoMJdZ0JuamWXtumZ0J+Pvrzmc6SOciYOsQU3QrjmQD0tSZmV3km4v7nT/huI5/lJ2sWumCCHqPnqQuHBYGM3WJlDsC+1JEGE5ZhUmdCFhGaDPZJZSb2HV/APz10CEfnVq0ckwy6YIIdNM08E+L5D8VMkGvWZCbiSA1Vb0MMJrKCZ6ITU0NlxlIduiabQyFbqGQOej83sjlkwV82g1w2w3muOAOm4vKZ3sOzK2X8297jmFgoGX3eBHTfPDNhX+ag4/P9L8iDCbaU9uhAQSjoVodW5rBY84aFHzMB2Jc6eroFeRxQZ3OwzIRsMguYGmrBgAnwOfgrZRelShVFw+6LAPDS7Aou/LsHsFJ2sXmogIP/9W1KejUKdPUG2P210oAp0MsNzwT/ORvBhC7YnJQwEx4ZtMJ4JjzP4wZrqcyRi0/mkBlLdTDO5ki6AVORGirKHLXPCcxEQ+YQz9fAyQlFyUxEkDlWy1Wc/7f34/DMCrYMF7Hvk28RanyEgcBMFMyYCd0zrZM5KON4eGYFB6eXcebGAbINvv24CnoDpnwuKERc54vZHIg9mEiZCctQyxysZyL4ytjzPO4GoSvPsKADbdCCLj85MNWgwicW1/DvL05bOS4KPTMRLJiwZcCkg079msSSzRFY5oheTltsriZb6cYnc9D9+6aGSoINmhIHdIIBUy6fqVggVVAru171c6FMDY0gczzwwgkcnlkBABxfKOG+A1O+3zGBjplY1QSves+EepyTBd73HRDZCb8mX3UEyeZQvRYUftkcQCpzJB5GMofkAfCTOVSO7aigK4egUgeNbo/NxyN16FIU2b/9KmB6nphJA9iROXJxZnNo7g8hmMiKngmZT8cPqkJh3L5ilDmCMhOy94eLOWtm1FZBNhEA6t4cKu+OjKkZyNeZieZr7NgSpZz2cSJtLBsE9iag++Y8ExqPVFgDpkyGlkkdXPtxHTOhkTnkNW8syBw+FTCBlJlIPOKSOVQO76gQmImAwQQd8I8v2CkIQ6HLKmBXpH7MhDrYCz4JqrTqWLI5NNtgA8B81kEm4wgTT5jfpyphzoLKHHaZCTHlVQcZczFczArPSucFE36eCbl3RytzqLI5VMGEQUBMg9q4SkOzk2LVU6fVhzVgyszO1IRZqbrcc5c0ZsKvAiaQBhOJh1Lm4FJDg8sccQUTUZkJygSML8TFTJjKHMGCMr/XdVAZMGPJ5jD0ItRX53Q1HsYzQc+lbLKmbcHb65mQMxMdH0yoWpD7MBMyJqnOTHAlni1lc9BgwsYKW7ZvSter0kPDyhxrku29OL2MwzPLjb/pOKlKCwXULBCgCiaiP0PSCpjFeGWOnjZgTk5OYmqK1/VKpRIyEfwIqrGU1axlNJrfAKcaMKLCNjMxbtHFXUfV9biBKUo2h2lXVxPQFUyuwUy0NpuDRbFR0tuB46DRaTSUZ8KAmaCrZbvZHNE9E8PFnCAJ2up/EBcESTPTlM8yDhoynbLOhKYFedMzId+f0oBpcP/R8tK2vCnsvh2nGRDVoSpcFdqAqTju+58/gWtfXzNhHp3nxzljAyY5JGkwYSEIk3sm0myO2HDLLbdg586dwuujo6Oht6kuWqWvM+EXxat01KigaXOzK8GiVUpFxxFM+Gn3QQyYqgGmnt+dCRCkKVND4+jNYTjAsLJDPpNprl4tMBNJ90zIPAJDxVwshlg/TC2X8czzU9h7fBF7xxcwu1rGtb95Gn777M2+36XHx05GhWymwQbWxxF1NoeEmQhrwDQ4ZYLMEUM1x6zjCEEtrUfS+J4kyKqfK92iSTUW3//8NK59/ekAgFsfOcy990qS6cFCW2eiVTJHC7I5ejqY2LFjB6666irutWuuuSYaM6GI7D2vdoGzGceOZyImA+bMSjDPQyuYCbpC1qWGlqte4zzLoNNRK66HQoBgQrUijKVrqOEqj51w81kH9fEiXDBhYMCMUeYQPBN+RasUzAS9pHGmhj7w/An88e1P4vlpUe771uNHcezTb8fYUFG7DVU2B1BjgprBRPBsjqYBM1jRKpMW5LF5JpjTkc04QtCoMmHSZ31ssIijJw3iWplDcQ/f93yNxZ5aLOHWRw41tztUwDtfu1W5vSDltAE7zJncgElkjlIaTFjD2NgYxsbGuNeKxaKQox8EulVoxXWRzWTlngk/ZkKRex4VYhvygMwEeZDHY8jm8Fsh00lktVwV9ME6dOc5aH63KjU0jmwOc2aCDSYyAGoDBh20PM/D8loVA4WsstiOSTARp8xhK5vDcRzkMk7jHMTJTPz5D/dKAwmgNjb8anwBbznLJ5jQPOvsb6zLHMpsDsn58DVgRpE5YgsmGGYiE4SZ4P/eNFhgggnzOhN1PH9iGS/PreDWhw9zY9L1b36FtrZO8DoTrZI50tTQREP30NXpM2lqaJsMmOv6+Ek3aJ0JOuCfWC5b16RXKnrtPkjnUN3EHtQwpkoNjWMlbMpM9BFmovF95hhc18N//OpjGLrhR/idf3pY2ZGUnkfZ5BRrBczAdSZk2Ry1+zunmDxt47mpJe37JpOyTtKUdcxUZXPkshlhnKivToM3+mojM8E8s7mMI1xnlemaTtSbh5omyZmVsrJstW4c+D/PTOBLP32x8fdAIYuPvOlM5eeBNJsjRUjoJ6uT9KSUmfCTOeIxYOaymcaACwCzq0GzOcQbcmLRrtQRxDNR+7ymKp6WmQj2EKtSQx3HUWrSYRGKmWAmIfa3PXZkFj94+jgA4O5np/Bvz0xIt9V5ngnx/XqHSVYWjLNoFXuvXrJ9A25826u594P24AGIzMEEE37ZHIB4zZrZHEE9E/rj9jxPks1h34Ap80yoasvQ38LKS54HzCnGOp1U9xf/9gxnNN3xxjO0aaH1Y24ck0GdiXg8E2mdiY6DXuZQMxPBU0PtXbr1/c1gIiozAQDj87aDCf2kRgcXymSw0J3noA+xyoAJqDXpsDD1PFDPhOz7R4kU9diRWem2aKAozeZIUmqolpmQB1Y2QcuP/9rmIbz+tHXcZ4IGE44DzhTMVhxVmWvZ+5AGWKHLafsc90KpIrbTjknmoJ4JdWoo//fYED/pq3wT9Llmv8cGEtmMg09c9kr1gTOfax5TazwTMhNvfz4LVtFMZY6Ew0TmkE3AgWUOSwZMgG/RHJyZkAQTlk2YfsWTbMkcQVesuhUhO8da0UBDMBPsRM8OkHRF8sTLc9JtmTAT2QzPwrS1aJWizgTAB1ZxGTDpb+/PZ8WaIwYTBXsfUgaS9aj4GTDrx8BCWk6bOSTVvep60HrJKCuh21ZQcNkcJydFFkpmQjBgmgYT/Pbe9uox6efed8E2nLFBncVRRxJkjlzGgeM4XFptykwkHEYyh4yZaJMBE4jKTIg3pO1gQsjmoAZMSntqZY5wEoj085pBXFUUKCyoZ0LVa6mb2QAAIABJREFU7phLDeU8E83v0xXJ4y/PS7dlYsCs7VPU8W0gODOhDiZa4ZkQPB550bNgsm/2FhWCCVbmaDT60sgcOQUzEVDmACAtQ1+HNJiIoWhV1nFEw7VhauhmkkWjylyj4/PbXr1J+rn/5y1nyQ+YoC1dQyXZHAA/bqTBRMJhJHNIaLl2ldMG+IyOqBUwAftVMP1ljiDMhHo/VmUO254Jcmw0C6cOMZtD/P4iSQk7Or8qbRktGDAVqZlFiY5vA0GLVsm63Q73yYKJeDwTshTmMMEEe3w0M0jmmVAZMAEx8JalhrIBtm780r1HMzlqxxWDZyIjPu+qxQM9L2FkjlzGweVniXWHfvfXNuPXTxnRHzhzzHUIdSYkY4ONIEzWghzgq4emMkfCoZc5ajd9qSpOdq4HpbsYiM+ACfC1JmZX1S5nGWQrUdv9OYQVsqbOhOzzLHQDXOBgghowOWbCLq1OV58q05cym4P5bbIVyZNHRXbClJkoJISZyGYc4bkYKojlo1vHTITrC8J+hnqjZDJHIAOmlJkA829NMBFQ5ghT28Rvv8FSQ8PJHGxAnM86eMXGAZy+vo/7zCff+ir/A2eOuXlM/HtyZiIezwSQMhNtRbnq4p5nJ3Fwetn/w9CvfMsaZgIIZg60acBkq2B6Xs1MZQrZqsA+M2Evm8OEOTKFqvIg0AJmQlG+V5nNwXkmxOv7xFHRN2HSgpzuM1bPhE/RKtlnWilzyFJphWDCILCskJUxC44F8imnDYj+osFGcKVKDVUfl+7Zaa3MQZkJhQGTeiaIzKGqNcEGZ4VsBo7j4D2/sa3x2n945UZc+krzKsn6olUS/5xlZiLjoFFLJs5goqeLVpngD/7XY/jRvgkMFLJ46Po34ze26akt7WSlqTMB6IsmxWnAXN8n9udYp6DRKVrhmfCVOciKVc9M2DNgCqmhzDWxnc1BB2ZVLwCTbA7ZIPKExDdh0jUU4Cc42f0QFkGZCaAmhbAyTkPmaIEBkwbWUgOmwT3GMxNqA2apwUyog1o68TZkjhCeCa3MIVnlxyNzBDBgkuPdZGzAbH6vLhn95e+8Bv35DJbWqrjhilcrC73J0BYDJmFz6mDLAEwtrcHzvEC/RYeUmdBgarGEH+2r5eAvr1Wx66ljvt/RGjBdtQET0EekdADM2/RMkIkpiAlT6pmwnhqqn9SE8rqa1bFJsGcKwTPBDOJ8XQP7BsxongkzZoIN4hxHTAOV7VPWdyYs6HVU7Z8FNee11oBp3zMhGjCZ1NAGM6EOaumzEjY11O+9eLM5mv+upYYGN2A6Tu2ZYedNFTNBZQ4AGOnL46bfOwdf+I+vxeZhfQVTinb05lCxW2dvHmr8e2ppDS/N2mOR02BCA9oMxoT+101IutRQINiq2SozQUtqB0gPldaZsJ3N4UO3C3UmQjMTQYMJ9TWJn5mQeyaKWUU2hw8zsW9iUThvtO27agXTCs9EMZcxWkFR9kIeTMRkwIzDM5GlwYTMM6E2Z6uKVgWtgOn3XpzBBGdIdSTMhIEBM+s4yGQcLgg3YSZMAlg/BO3NYaUFuYKZuOiM9dznHj0yE3lfdaTBhAbU9W4yUJrUMVDLHG3yTNBmXxGZiYVSBUsBfBd+ELMKwmdz2AwmBK2aqzNh1zNBzWxGzITSMyE3AP/q2AL3GnsedTUe4pI52JW+X42JxufIvTAkKVoVRZOeWykrf6O9bA5TA6Yn3SaXzUFkDlk57YqFYEKWzWFD+6f7zWbE1FATA2b997JBuKpzKMsC5m0EE22uM8EGM284nQ8mHjssrzETBmkwoQE1qqluWhZGvTmUzIR5pkFc2RxAsPRQ1cB63GJJ7eBFq8IaMIMWrVIP4razOeg2TAyYsokHUKeEUamDMhMqxCVzUGbCBOxEw048NmSO/3HvAWz4b3filTfdi73jC8L7RsyEwfmpcsGEmpmourUOufpsDrnMQbdbz+CyK3PY8kw0/53NOMK9YNI1tBlMsMyEQuZgrmPBAgOsYynlFTAtBxOszDE2xPkmUmaiRVhcC8FMGKx8VdvR3UQ6KjMqBGbCMJjwPE/pTzhuUeoIns0RkpkI7JnQGDCtMxMkNVTBTLB6cl4xgdL7ug5qwmSvrS6YkDWfsgF2kqCMgwpsMFHvGApE97C4roebdj8Hz6vV5bjt0cPCZ6TZHBENmLo6E0DtHtQxE68cbVZoXNeXazzrqs622qJVmkNvWQVMp1bJkb3Oq4rnVrY654MJFTMhGjCjQDcWyD0TdlND2bkik3Hw+tObJd5/dmQuUCkAHdJgQgOBmYgoc+gqYAIBPRMJYCYqrgfVz7Xpm2CZhmzGER5woSKehmq3mhqqkZ6seyZMU0OZc8OeJ84zoZCg9MyERubgPBM2szma2yoaDupsFtIoc46ieiZWylXMrzbPmyxYlmZzRJY5SGooudfXqq52ofGf3nA6rjx3C145OoCvvOvXG2xVlvhP6veo7vhUY5vneTghWeXHkhp68rexwa1JOe36OdnItA6YXi5LS4SzzETeBjMRtAW5DWZC4ZkAgItO39D490Kpgv2Ti5H3B6SpoVpQzwTVRGUwa0Eu/4y21HOMqaFhmQld2Wq7wYR+UgvUNVR3fYJ6JgSZgylaZTubw7BolSo1tBb41Y5DlV/+5NF5uK7XaCzFnkdTmcNECjTFagiZ47rfPA0/2jcBzwP++KIzGq9HlZ0omyNjv8SW6SE9E5o6E0JjtYqrzebYOFDADz94kbAPgZmoyxwhPBMLpYqUVY2l0dfJw+7LZ4CV2r+VhvaqOKGyzMRa1cXyWhWDRX4apHUmooIN3FwPXDpmqz0TAPCGM/jmc48dmcU5W4Yj7zMNJjSgKXRRPRPNctoKmSMABW/TgDlQqK2g6sdnykzoVqE200P9tPt81kHGafYO0JbT1p7jgJ4JYRBvITMRMDWU3YZK5lhaq+L5E0t49VgtfczYgMl6JhQF2cKAnSRMClYBwNUXnIrf2DaClXIVF57WNJtFrYBJxwJZwCoW2QrLTGhSQ3P83yUpM+F/rugcWT+uMJ4JmcRR26Ylz4RklR2Umah/jzJ608tlMZiwLnOQ43K9xmIjLs+ELiOIZSYA4LHDs7ju9adH3mcqc2hAV3BBZQ6ZvgmogxLdiilOA6bjONxDZsxMaM6HzSqYftq9Q9LFWpcaqr4mKrd8WNB9UWmqDq7RF7lH6oMkK99RpucJpqy2qQGTpivquksGAWfADDCon7NlmAskgOgGTDoWSJkJoZdIyAqYhgZMoBa86SpgqiDIHAaeCdV7J5bMWnmHhZ/MsWJQtKrpmSCFqyTNvjiZw8I4q/Kn0GOsw0pqqIaZOG19H7YwtTIePTIbeX9AGkxosRjGM8FcRLqa8s/maE8wAfBVMM2ZidbLHKoVMh9MtKacto5eVpUrDosKl67mcI5sFn7MRJmsZC86g1+lsO3IV0PIHIC9Zl9caqihAVMFKvkEhchMyGQOsfx35AqY5PtCMFF1tdkcKlD2IorMMbUkf9bjkTlqv62P8+mYpIbW/k8ZPdlYxzITBUN5TQeVPwVokcxB7gfHcXARkyL6xMvzyjkpCHpa5picnMTU1BT3WqlUQubkgxaqzgRzEekg61dngg4Ksu/WYdMzAcA6MxFXNodqUmNX2Dpvi9VGX5oKmNZ7cxAdvZDLoJDNCPeSqtFX/XjpCvt120bw2JFZLJ98nW1HHiY1FKitlhWxTiCESQ1VgZc5gg+cdGEhC1hlZd9tGzDp5Lbmk82hgox6B2zLHJaCiZAyh6xeB12MyGQ5dhyOhZlgDjeuYEJ3DwHAG85Yjx/uPQ6gdg/98tg8Xk9qUARFTwcTt9xyC3bu3Cm8Pjpaa+ISLpuj+W9649Yj3nAVMOPzTABhmQmNZyKmbA7VpMYW59F7JtT7iZIa6jhoGBcB0uLZhswh0XGHi1mcWOZ/kB8zQVfYI305/MYpI3j4UC3fvJ7RQdN+ddkcdLVcqlQxbGFoYfdvWrRKhagGTBqELUtlDjE1NOMEDyZM60wANZYzDDOhTg01Oy4Wsr4cgM06E2IwwTMT8uOSBSGyYIyCfc0KM6GROeRdQ+PN5gDAMRNAzYQZNZjoaZljx44deOSRR7j/XvGKV2D9+tpJjcpM0OpzkVJDY6wzARBmwrACpl82hy3t3CRF0URDBfyYifBFq/IkuLMuczD3TH3b9SZWLLiiVQIlLjITg4UcXsc0rzs2X8LxhZJxx1C6T8BeRgfPTESTOaJm15jJHDSwi85MiHUm+L9lzIRRMKGg3vUyh/x1JTMRU9dQwNCAKckCkclEFLrnOgx0MoeM7dEx1KbQeSYACIHDo4ej+yZ6mpkYGxvD2NgY91qxWGxMgpTa1NUvqIO9OUSZ46RnIpTMEXMwwWiJqxUXq+Wqr05NJ42NA/lGIZhSxcXcakVpFAyCoDJHO8ppU0lBl1seBnJmQh9M0GOquJ7Atg0WsnjdqXwn3CePzgmDjWk2B2CncJXneXw2h01m4mSabJBuiUYGTGZ8yGccZDOOUIfFrAW5OpvDr85ENuMY/S4apMSRzRE01Vq93+a/G8wEK2saeSZOMhMCi6ZnJmzXmaDHJcsgs+OZUO8fAEYHC3jV6ACeP7EMoMZMREVPMxN+CJXNYWTAlN8sbTVghihcRWnd7Rv6ub/H5+1kdJhUYjTN5rBbtIoddNTMRFxdAOXBBJvNId5/9J4eKuTwum183vkTL8/7Vh3l9ylS71FBA+7onglSPjrgJaEspV82R/FkCqfjOCSzJ6AB00fmKFV4ZsJU47dZZ0LWlwMInmptst/6+aDMhIwF5YtW1c4bTa2l91nV5QvxxS5zxOaZUAekdbB9OvYeX8DCarR+SmkwoYFQZ8KSzKHyGrSrayhg5nKmoOfjzI0D3N+2fBNBszl08ktcqaH0gbXPTEhkjoDMRFnimRgsZvHrpwyDPfy//PF+XPj5B7jPmaaGAnZkDiHN0rDOhArUYxRU0pIZMOkEpiqyFTSwNG30BdSkK84waJhCS+9XowqYymyO1hsw2XHA9eRpqHzRqtr/qVxGA1+hRH7MMoc0mIixNwcLtoOo5wG/eDkaO5EGExpErTOhljnkN0swmcOyATNEFUxKLwrMhIVgotbIqPnblQZMQ5lD29U14ENM0zVZWM/mMJU5FOW069sQPRNZDBRyeM3JQlVAbaKcWOQnCNNy2oAdmYNug22tHgY0+A56rWVVQ+kxcnKctWDCpAKm3rkvg7haPvl/XTDRrmwOH88EIJegpQZMwXPikb/V6d5hoZM5YqszIZGGKGx3EE2DCQ2EOhM+BXk8j6fIhGwOiwZMGzc5C1oZziSYoIPp9g08M2EjPdSUbu/PmdWZ0BcGi2DAjFnmkLEgsmCCa/QlpIa60mACAP7gvK3a/f/6KSPK9+KQOWQ1G6KATrJB9XzK6ADivcnKftaYiaxPMEHqTJiOC0oDps4zoczmaGEwIZE5APkzLwtC/AyYlOGwUk6bpuH6yBx2KmD6yxwXnLqOCzSidhDtaQOmH6hO6nm1i696YOnDRg2M5WrN+BWu0VfMnom+EJ6Jio9nIpZgwl/mWKu6qLqeNCLXMhOBZQ71A2u/nLY4Yfhlc1CKVs5M1LZx49tejYFCFo8enoEHwPU8uG5t8L7y3C244tWblMdmYmoLCoGZsOyZCKrny5iJlbILtuQXJ3Mo29Hr9+t5nj41VKL584Gm2Xmy5ZnwPK/tMgcgry0jNWD6sGi6TsBh0faiVQpD7mAxh/O2DOOXx2q1ZaKaMNNgQgPqfAdqWq5Kl6QTFS0BXHE96DpttqucNiBhJgzSQ+mDePr6fjgOGr8vnmDCP5sDqA0utOY+EGM2R9yeCWMDZjDPxNBJZmK4L4dP/fZrQh1bHKmhYpql5WAiKDMhGQsEZoLzTDDVUJlxwG+/9O2gMocxM6HK5tAcnysZuFRNvgA7KY6U7VXJHDJpkz2s+nmkYzJd2NG/7TAT7Qgm1PtncdEZ6xvBxMHpFUwuljA2VFR+XodU5lCg6npS6kxXqElkJkSZQ0cB08ZR9Lss4vZMzK6aZHPwxzRUyGLTYLP2vY3+HKb1DkQN1T9djCKKATP2bA5Dz0RB55lQ1JmIilZ4JqiZOShEA2a8MkdfSJmDSm1inQmJAdOA0qYQDJj1olXa1FDxNVVfDsD+ChtoSgZ0bJU97+y5VBatEpgJKifHkc3B/Dsmz4Tst8tAfRNR6k2kwYQCMlYC0K+66FtCNoerljiA9socQhtyE2aClnLOZ7GVaSBjo3OoqcxBBxeVCVPbgjxo11CNVk0fYDfiwCotWkWCiUI2w9UYEMxmsjoTxWiTNBCTZ4Jcv8jMhKTmRhCoZA7V30qZwy+Y8OkAKqszUdEEtSqEK1olvqeSOAD7lRwBnWfCR+Yw9ky0WuaIq86EmSmX1ph54WTdiTBIgwkFZIMHoF91CTIHzeaoetrvm8octHSzDawj+vu0QTAhG/C3MBSZHZnDbIVqMrgAwaQkP5S5B5a/1rrc8jCQFa0aIdeM3m9mzET0YCKO1FCRmWizzFGSBRNU5mAbk4VlJvSLBpnmH4aZsOWZoE2+uIZqllMcAXmjL0BlwGS+Z1i0imZ3tEPmsGHANMnmAGp1ZlhEadKXBhMKyGhNwCeYkAwE7HUsu672YulkDhN3bhTkshmOndCtOOqQDfhbR5rBxOTSWmS/QBgDZu17CpnDogGzomEmok5ewr4kKw3KTFB2RuqZYJiJXMaxMljGInPEXLQquAEzoGdC0UHWb7++wYRkZc0zE2FTQ01kDvE92peDZSbt0PVmzIRxaqhP0SqRmYi3aFU7WpCziMrYsUiDCQVkKxEgWDCRzTjczViuesoaE4DPqllTIMkWNg81/Q4Ti/6sgswkt3W4r/F31fWU1fFMEdaAqZY5zJmhhw5O46ybd+PsnffiZxKns4wtqEO3GgkDmaRCgwlqLvOrMzFYyAYqKa1CPDKHKKFFgexcBMGiVOZovuZ5ntozEcCAKQQTfqmhFVfLkKlAJ5j6vR+00RdddGxhggnXiy7vycZUQLwf/GSOnIKZoNWIY6kzoZA5XNeTVmK1weiYLj7FKrkpM2EdSs9EAJmjFkywFKfegGnqmbBtvqxjMzMQ0KJFMojpe7xnAogudZgHE/4rFcCnaygJND591348f2IZz04u4a/uflb4vGlqaG3bNpkJuQFTkDlobYWqh6USG0zYSeZqhcxBA6WgiC5zyJiJ5jFWyMQQts6EUOnWpNFXmDoTyq6h0TwT7GICiH7fq2SOfiE1VO89qP9ex+HH5NbUmQhW06OV2RxiLZo2MxMLCwu4+eabcfHFF+OUU07Baaedhssuuwxf+tKXsLYWbWUKAMePH8df/dVf4dJLL8UZZ5yBzZs347zzzsNVV12Fz3/+8yiXzbpcBoFsJQLom33Jbnx24i/7eCZMK2DGx0ywwYQJM9E8F7mTjY3EYCJaRgcdJExakANqmUPfNZS/fodnVhr/PjK7Qj+uTclTlSsOC3lqKP+b/TwTZWLAtOGXkO23I+pMBLgerutJW46zgS69T+MyYMpaaJdDjA3qctrmiyVA7MuxhaQVRqXs6dwW1YAJ8AFCW+pMePVzLb8XrHQN9WlBXofI2IXfd+SlyeHDh/H7v//7OHToEABgYGAApVIJjz/+OB5//HHccccd+MEPfoANGzb4bEmO73znO/j4xz+O+flaLmyhUEB/fz+OHDmCI0eOYPfu3fjjP/7jRttwWwjFTEhljuaFLFf1ngljZsJy9cs6xpi0zqW1KpbXKhjQrF65ro4nZYb4mQmVZ8JM5giSGsqusGXXXdeq2LbMYVK0Sgwm6ATqckHykIVMDtl+bQQT1D8UdVCPEkyslKvS2jDsPUbvt768wjPhs186YfvXmfCkacN+sGfAbAYTA4Ushvv4e8o6MyHpGgrIU0NVE2ohm8ESatfLr86EHc8EOS6fcx31nPkVPmMhVIZtFzNRrVZx9dVX49ChQ9i6dSu+//3vY3x8HMePH8dXv/pVDA8P48knn8SHPvShUNvftWsXPvjBD2J+fh7vete78NOf/hRTU1M4cuQIjh49irvuugsf+chHkM9Hb3NNEcozIcgc/CRTiZQaGq8BE+CZCQCY9JE6ViWpcFtoMBExPdR6Ngc5x+zgTFeF7LWWeV2CpIZGHSBkVQ5FmYM/BwIzUaWeCTsyh9A8ycLKynYvGqHORIBjVGV2sfemUP47ZAVMleGwDr9y2uF7c9Spd/V3/IKJTYOFyPU8/PYZqGiVgplgg992yhyqcxP1nNGvB5I52sVMfOMb38DTTz8NAPj617+ON77xjQCATCaDd7/73XBdFx/84Adx991347777sPll19uvO3x8XF8/OMfh+u6+MhHPoLPfvaz3PtDQ0O45JJLcMkll0T5CUrYyObIOg7HIkSSOVpswARqvontpBMoC56ZqD3c7WMmDLM5iI6azzqozxUCM8EFExJmQuNjsS1zyCQVmtZF0+WoZ6ISk8xBdXwrzIRlujmKa11W/RIAVpgAQlexM5ABU5A5+OPOZBzkMg7TNJBWwDQ1YPJ/GzET0mwOPpgQ2LCIZkJVnQm6qJAyEwo2l5WKhKJVlhkxQCNzhGirYAJVACaDbMERFpHCrm9+85sAgEsvvbQRSLB4z3vegzPPPBMA8K1vfSvQtv/xH/8Rs7OzOPXUU/GZz3wmymGGQqg6EzKZg6M4LckcLTBgAv6+CXY1Vh88Nw4UuAEwarOvKOW0ZaiQ1UqOXB8W7LWWXXddSp7NOhMq2jKTcbiAgMoNsnbVi5wBM8Eyh+VKhFFkDhVLqfVMhDZg6oMJgL+upQrtzRGOmTAppy0bulhmYnQgL2moFtEzIYyptf+byJr0Wa+DZRsEmYNkd3QiM+FXRZWFbMERFqHP1PLyMh5++GEAwNvf/nbpZxzHwRVXXAEAuPfeewNtvx58XH311SgUCj6ftg/VakRbdEoSTLAPV7nqWcrmaBUzoQ8EOGbi5ACXyTic1BGdmbBrwKSrFd1AzzETMs8E52PQMxNRHlL6XXZfr2CYo9PX843W5I2+mvf1kKQcdxi0RuZon2dC5Z9aXmOZCSJzsL05LGZzAOJkKPPT+MFG11Da5GvTYFEiJ1lmJupFq3xkDpqSynsmmv8WDJhxMBOKctqqcx3VgEm/rnt26LG1JTV0//79cE+e+HPOOUf5uXPPPRdALSNjenraaNsHDx7EsWPHAABvetOb8OSTT+IDH/gAzjrrLGzatAnnnHMOPvCBD+CRRx4Je/i+UK1GVD0fALl5iqsz4braOhPG2RwxGTCpZ8IvPZRvbNT8nRuZpmEmPT50WKmYMhNkcFFk3QjMhIKCdl3e2EYnyKrLNyDySw2NInPoJtbPveNcnL6+D+dvG8GfX/4q7nN0IFxaq3J6qi1mIkuKsyVS5ogwaIZiJsJmc/jUmQD4yXBNYCbMhnS6XaPUUDK+LZaq3L5rngm7XiGVAVNkIsnzqZBHAD9mgtx3Flhg1VigCrQinzPNb6dwHHHBGxahlybj4+ONf2/btk35Ofa98fFxbNy40XfbBw4caPz75z//OT73uc+hXC6jr68P/f39ePnll/Hd734Xu3btwqc+9Sn82Z/9me82L7roIt/PAMALL7yA008/HVNzi9L3p2bnMDExIX1vcmqJ+3t5aRGOxww4pTImp9U94xeWVpTbXi0xE7tbVX4uEkjb8UMTM9r9LK82jynruY3PZj2X+4zyfE1O+h7SzDx/ThdmT2BF8nAskcBnanZBut+llWaqatbxkGGPdaXU+A5lNkoVl9senTAra6vc+yvL/HFPTE1hA8LVvV8g/p1yqbmvCzcCP/vw+fVfgImJ5j5oG/nxWf6YnIr62gRFMZvByslzMre4HHm7s/P88zc3M42J6pLi0/5YXJjn/j4xM4uJCbOJ4uVJ+SJoZqH5O49N8kXN1pYXG+9VK83rUK7on93JqQXu7+XFReHzbBHHxZVVTnuvlktG535+jt/PzOw8JiYm+HGGYG6ef6YOzfJp333eGlZX+Hv1+OQUht3w121iin9mVpaWMDExAY9MmLPknqOLPvaZyTBj8nKpzH1veo6/TxbnZzExIWemTLGwMMf9PX3y3js+I0+bXytXIj0/0+S5L62o5xWgJnXUA5iF5dpnq9Vq4IJ2ocOuhYXmzdjf36/8HPse+x0dZmebD+bOnTuxefNmfPe738X4+DiOHDmCn/3sZ7j88svheR4+85nP4F//9V9D/AI9lhSau45ZkFFybFRYa/QVzOBUh67dtS1s6M9xK8ypZf1DtMr8FrZMLbtyKkeMstlBIUdkIxYmqWIASRejnglPzUTUihJ53N8sBGZCWKFJD8cI9LumlD+9TxaID2hAYWYNA5vXHOCvBdBemWNZIZmx99iqUP6bkTmYXfsyEwa/my+65PF9GAwnALpZk3LatAX5NAkcNg7krDMTdJ/1nkSO43AmUspg0L/Zw2KZCboSF706ra8zEd0zQfbv8+ywCm0UBtWOaGoZLqNbua6Lr33taxyz8JrXvAbf+ta3cOGFF+LYsWP47Gc/iyuvvFK7zUcffdRo3xdddBE8z0PFkZ+afLEfmzdvlr63boVPUV2/bgQDxTkAtcjcczLoGxxS7jubLyq3jUyTku4rFtSfi4ixoWLDNDlfcbT7Yb1KIwN9jc8O9h8AUFtZVqHfBgDt+172cOPfffmM8rPryROUUZzLbO7Fxr/zuSwK+SyA2mosk801vuNJvB4bRjc1/AEzy/wKbt3QILe/9SP8amz9+g3YvHmd9Nj9QI9l3fCg0fUfpr0jyOO+ZcM6a/dRXyGHubockM1H3m6hOMX9fcrmMWwiMlwQbJrlB9TBoRHjY8wckDNKbqZ5v/S9zK8GN29c33weBo4AqDGSVU9/v4/M8wHehvXiNeov5AHS62jcAAAgAElEQVTU7okyWQ+ODA0Y/a6xVX6sGhwawubNm5HJ7m+8ls863OTaP8Dfdx4hbM7cMiqkk49EuO8B4KU1nvFZPzLcOIZcNoPqyec+V+Cf9zmyOh8eHGTGp+cB1Ba2FTI+Ffv5Be+WTZuwefNw6OMHgNEZ/t4bGq7de1OufHHtGoyZOlTmeMZjZEg/XhRyWWCtdh4zudqzm81muXnYBKGXJsPDzRO8siJWB5S9x37HdNuXXHKJVKIYHBxs1K946qmnrNP+ymwObQtykZnIE01eb+BsbwVMIFh/DlmdCUBfYS4oWF1a5ZcAagMfuwAwKVpFmQ524CxJPBfsb/Grg2Azm8PElCcDZSbmV+23H69DZ2oLA9EIZzubw3adCUvZHD6poXTb9NhMWUtVbw72+GiWDr2HaSntTYMFq42jANFMyD5XtFUB9z1Tz4SPAZNmRIVB0GyOqF1DVT4TFXhfXxuyObZu3dr499GjR5WfY99jv6PDKaec0vj32Wefrfwc+97hw4eVnwsDK3UmhMkqfG+OMIVpwoAvqa03YLKBFeuu1j2sQcEO2LpgwnEc7n11OW1G5siIwV4dsuvM/hY/OtQm3Uv3ZdzMiRzD7Kr99uN1sBkdNoIJk0k1CKKlhirqTJTV2RzhDZjBsjloMGFqzjYxYNK0SDqxS4MJ2wZMjexDWxVw39PUWghStMqGpCxUwGzIHPHUmQiaCcWVL2hHnYmzzz4bmZMX85lnnlF+bu/evQCALVu2GJkvAeDXfu3XkM3WBiedCYQ14djofsgiVJ0Jn0Zfta6hZoWphPdaUGcC4EtqTyyWBKMTC7aWA/uA8g9rtAeDYyZ8Vgns+0pmwmPPo7rOhDSYYH6LX6viOLM5THVc2tRonkyKdoMJ9QAdBnSFFJmZiNA1VM1MmNaZaP67lgVk9pzXvqvP5lgi19Q0+8AkNVQMJvhjo305RgckwUTkNEd1UKAL0uj3uKJVumyOagzMhCqbQ+mZiHjOAmRzAPy5iVIXJPSZGhgYwMUXXwwAuOeee6Sf8TwPu3fvBgC89a1vNd52X18f3vSmNwEA9u3bp/zc/v01fc9xHGzfvt14+yZQ1ZmQdaerQypzBCinrbuQLZM5mBoR5aonUOON46m6XJohW31R97AGBbvi0zET9H1lOW3meLIZvkKpHzPBvkYnO38DZvjzQAOXINefvRZzhJmgFTSjwLbMYZuZiFKcR1kBU9Obo5+rgGkeWIqpoeIQzU5wtAGZKTMhUu/isdGJ1E/mGB3MR271TqGj7HUF54SaP2zRqpz6XhUWCVaYCUXgFpMBM0gFTIAPQNtWAfP9738/AOCBBx7AY489Jry/a9cuHDx4EADwvve9L9C2//AP/xAA8NBDD0nrSSwvL+O2224DALz+9a/Hpk2bAm3fD8reHNUAXUMztJy2K9y8bL60MTMRU50JwLxwlagRMzIHqdCnW4n5wVTmoO+rszma/64xEwFkDmagoSsu/66hmgP3ga5olR/Yz9KrkGSZgw2sM07TxR8WgpYfYNBU1plgszmE50E+6QHmxelk3wX4AJHKecbMhKo3h1bmIMzEMt/ka6AgZnNE1v81q2zOM+Encyg8E+UqzxTZrrxK9w2YdA3Vs1d+CO6Z4OeosIgcTJx33nnwPA/XXnst7rvvPgC1DIxdu3bhYx/7GIBahUzal+Pmm2/GyMgIRkZGGh1HWVx99dX4zd/8TQDAH/3RH+Gee+5puEufffZZXHPNNTh27BgymQw+9alPRfkZUoTqGurT6KssYSbYZkvaQaYNnglA7Zug54FnJuzppuyKj6Z/UrDvqxt9EWZCoRfKjLbstfOj4W12DY2yStdJIrYafQExyBxcqfLoA7rYgCqIAdPAM2FYTru2b91zHiyYoDBmJpQyB7sf/T1MS2nLjjcyZa+VOdTGQdlYXAc9f+y91hqZo/Z/3X0QhZwI7JkI0DtGh0ijSS6Xw+23344rr7wShw4dwjvf+U4MDAzAdV2srtbSU84//3zceuutgbedyWRw++234x3veAf27duHd73rXejv70ehUMDcXK0ISD6fx9/+7d/isssui/IzBHiepzTwBW30RaNnWvt9oJCtZ46aV8BsaTChYiaI4YzzTJDyyhU39IRgms1B3w+TzRHMgKmXHqzKHBFK/OpWqjazOVjDoRWZw3KX3Nh7cxh2DfXbt5EBUzPBGWdzKI5Jy0zQOhPLzfTL0YGC9HhbJnNIKtRy31MYMIFaAFE/p62UOfRMtItsJtzzGZSZsFUBM3LYtX37djz44IP45Cc/iXPPPbdm+srnccEFF+Cmm27C7t27sWHDhlDb3rJlC/bs2YObbroJF154IQqFAlZWVrB9+3Zce+212LNnDz7wgQ9E/QkCdPd/pGwOSaOvAWYCbHejL4A3YALqYEJgJvJqZkKXTuuHsDKHaTZHEAOmLjXUV+aIstIImc0hOy4WVj0TObvBhH1mIvwkp2YmTGUO2q9CN4bwf8smgqKOmTAtp63S8VkDJvVMkHO2Kgn0oxhdZdAxDCq/k+xY2fMia+Pe/HewidgE6nbv5gxVEAQ1YNKWD2FhZTQZHh7GjTfeiBtvvNH4OzfccANuuOEG388Vi0Vcf/31uP7666McYiDoLmPwbA5Gs/b41Uw243BRcrsbfQFi51BahKYOeh6KWblnAoiWHsozEz7ZHEYyBx+UBTFgcjKHkEIWXzZHJGZCM/HElc1huzeHjSqEkZgJRTZH1fVQrtZYN3ZizTr8eQ9SeyEyMxHWgBnCM8FKC/X9xs5MMM8VNbfr9svJHJout+x9V8hmrGQJBs3m8HvPD8FljoQwE90I2nGOhZ6Z4P+mMgfAp5kVcxljiql9Bkx5MEE1YpaZoCunsBp6pepyv9uKAVOQOVQGTHEC4YMJ/QRvU+aIzzMRj8xhu2uoFZkjkgFTXVa+HrSyLAWl0aMZMCXZHJpratyCXOWZCCBz8AFf7bNC1kyMBZhymknQtGgVoK4fYyOIpfsGWJlDk9kX4RkKms2hy4oJgjSYkEB3Oqk2ykIuc/CnmKVMC9mM0YX0PE+YBOPCcDHHDYZKmUPoRcDQiIImGW5AoQGBXzDBtiE3YSa0Bky/1FAf6cFmNkeUmgsqz0Qhm5GmHYaFzQweIGkGTPUzXw8i2HGhz2owEcyAaXqulOmKzHUTKmBSZkIy8dKgLQptDsgYBrPU0KCeCdm/dec5CIJmc/i954fA2RxJSA3tVtDmMiyiFK0C+IGpkFVXYOS2G5C2igLHcYxKaq+SyVpVZwIIT3uLuft+zAQ/ockYpkgGTDY11Ed6sJrNEeH6q1ZXQxbNl4A4QEdNCWQnIRsmuCgpi6o6E0DzHuVLy+v9M4GCCVkLco3MYcxMKI6JDajFbA71sdYnJNEfEp/MoS9axW+HZyb436UqRmeNmTBggShsyhwdkRrarbBmwCRFq4BwMocJ9WkTJiW1Bc8EW2dCQyMGAQ0m/FJDKXMhY5E4ZoJ2DWUNmLLU0Ao76OjZgiQWrWJhU+IA9Ku9MGAnoXZmc3ie58NMnAwmKvxzze/b3IAZNTXU2DOh6GTJVYgNJHPE5JnQ1plQL8R0ZbjFxU7z2tlmxABJOe2YPRNBF5+cATNlJuxCR9EGzubQMhNmMofJasUmxkyYCU2dCVsTC83ICOKZkH0fIMxENkoFTP0En5yiVfJ7xWaNCUD0yUQ1YXLMRBuzOVbKVbDDAR2Xm8GExjNh24BpI5tDUUOiSoJtdveUseUNmHVmoj2poTTgpgEbx0xoZNiukDmCltPWMDxBkAYTEtDzOdLXHHi1XUNlMkeGBhOMZyKXMZI5otDcYcAyEyeW1qR0nMhMmKVeBYEgcwTI5gBMmQmVAdNH5vBp9KVa+YVBFGZCNRHbZiZ0DvkwsG2EEyd0s+OjNSZGSep0PWDV9ZCxbsDMqc9HaGZCFkxkHG4iEj0TIjMhltOOWrSK/9tY5tBMqMJiR5HNEbfMYdrYEagtcB85NINnjsvblsu2r9o/Bc9MpDKHVdAIvF6QBQhTtEotc1BmQilzCIVUWidzuB4wvSxKHUKRHrbOBBnsrHkmAhgwa983YCaY8+95zfd9U0N92IKwk5cMYRt96T47VLTMTFgOJmzXVRENmGbBHZU4aB2W5TWJZyJCMCGuxMXPsGnYFGE9EzKZI5vhJyL22DzP48arXEbOTMRZTjuQZ4LtzWFYZ8KezCFnKYN4Jv7bnftx8Rd/itd+7j7seuqYdn+RUkNTZsIu6PnceLJULBCw0VdGvJCCZ0JTeEX1etwyh0l6aCDPRMhoN2g2B2UmZBkdlJmgk2190vfP5qABng8zEUXmiFK0SvFZ654JS9e8DtsrRDqemhoDqflyk8BMSDwTNg2YgZkJs3uDng+VzMExE8zETsc6VTZHnDIHx+r69ObQeyZUdSZiSg01kTnI7/naY0cA1Oamf/75S9r9Rcnm8Otqq0MaTEhAzyXLTKxV1WlvJtkcNI+bL7xi6JloocwByH0TQp0JnWfCGjMRzIApDyaax0LrTADNh9g/m4MGeHoDZvuKVqk8E8mWOWzXmXAEs21IZoI8G0aeiSAGzIipoabnyiF+iMrJSYTdvU7mEJg5BTNhvZ22Quagzwjdr94zIWccrTETSpnD/D6YZ2qdzCk6OTe2H6EFuWzfpkiDCQmozMEyE4B61WUic7AQDJiK1ZJY06B1BkwAmFgQg4lgnolwN2dQmcMkmGAvHa0zATQfJP/eHHQw9VuNtqtolYqZSLbMISuIFBVhgglasEpkJk7WmWCCa6HORCADpj8LaaPOBMAHOVXXExjZbMZRyhyqom3CfW+9aFXz37qxk+5WmxrK3Kvsv22kJNN9144tuGeCPS6alk8RdLygvzOsb8LuiNJhmJycxNTUFPdaqVRClQz81HRVqrhCMytAntusu5BU5lDpVSYOb5ugzMTkkoFnQtGCHJBXkzQB9TxQTwSFkBoqkaREZkIRTEhazbPmW3Ew9WMmdEeuR6SiVSrPROJlDrsGzNp2Mg0GwdyAyQcT1DOxUhFljmhFqwyyOSzUmQBOTswnD7vqetLFEC9zNN9TpUaH9aaoYFoB0683h2nRKpbhsNExFNAUCDMMKj3P48aeFZ9APUpvDiC8z6Wng4lbbrkFO3fuFF4vjG5r/jubERoiqVZdfr05hP0QA2Bdr6L14FtfZ8K/2Vd7mAn976aDOP0+pXFpbw4gPDMRZ9fQSMyE0jORbGYijsZ2dmQO0TNR69HR3F6ReBpa2YI8SOBF/RCy2gxKmUPBTIgeJMsGTE1vDnbs1AUhuvGJC2It3XdRe3PU5oXme37MRJRy2n7Hpd1OqG91CXbs2IGrrrqKe+2aa67B8RUX9bX4UDFrPFD6tSCnoKmh9W340aLx15mgngkZM0FYA7Y3h7U6E1FlDn6/JgZZnQGTHXT8KmCKXUNteibMBznV6spm+3HZfsKyUXXEkaLHrWQtGjDp4N7O3hxB7g0qYdBzopc5zDwTUVIN/3/23j3Ysqu8D/ztfc695777ea9aAiFhiYck8yobAfYAAgx2wiNpUIpGFcWOoYt4cNmuxNgJmqlhnFhucA2F7UqZmgaTKcZAuWITZHsmNYDjQA2hxGQ0OOYhZwbUgKVWd6uft+/7nD1/nLvvWetb33ru9+31q1Lp9nnsvc9+rPWt3/f7fh/dZ35MOTivjPw1P9MqsZqjBmbCyWdichx0LNL1HZp815eZiGmOwlheXsby8rL02mAwANY39v69QHpVAH7MhDXNQR++UQbK5hdZmYZgdqqHxUEf13YpXidmomdgJgJXqTRNUbSaQx1gUi8BpuSUZ0k9lFrNUUCAq8v7Vl3NUdy0qvwVYinMxDwVYI7UwFopEy5XgEnHI9vndaCsAzd+iYcuvq8TBdea5mCCtHzs5AKjHEYBZgXpNV3ljCmgFc8bXYzp+g7R7efwccAEwtMcUYDJQBRgzk+rzIRLR0rAX4AJ8DdY3dUcAHHBZASYVDMhpznk4yvPZ6JYNQc3wHgJMDUe/kC1XUOrMK2iqbuiUNmoYpNI2XbadDuhplUsM2F4Fuh+x/vWnxs6hqTeaQ4PZoIEV1bNhImZyDUTFac5+lIwoQ9cQk2rxIm7rCCWVs5wTdUoxPNLnyWTPQG3XW9mInCsisEEA/H+X5jmmAl7R0qAd8AUMd1T0xzcIFe3ABOw9+cQJ9uxbbiY5pAn9abstGnQxw1ModUcNjpatdMOH1SrsdNueZpDstMuK5iQc+wuUASYjGaCDu6FNBMOJbFlCTAlvVbGBBM0zZHZg+ny7bTlf0uaCUPgYtINmHxwJJ8Jg5+HLzi/DjMzIaY55GfJl5mwaybKYZNiMMFAZCYKaSbIJEsxzaU5nJiJ6i+bKMJkqzkMpXD0IQwOJgwVIxxoIzCFmWCvj66ag0lzaOhQwKVrqOnIzShSGlyXnXaZaQ4qOGuyNJSmOY7MT0Mcm9k0R0maCW0wUZYAk+gh+DRHMc1E+aWh+jSHGAj4CDDze5W6epbpNCyf6/H/jT4TJmZiR+91NN6un8ZO1UzEYKI0iNdpfrqvDA7uAkxzrfKAS3MwA03dAkxAZiYur28ruodNQ5fEylqQF0xzcLlELwGm0QHTXBpazE67gGmVVjPR3jRHVUycVIYdIMBMk3GgII4H69tDtbutLZhwXJHqnvMyTKsAqpngV7R60yr+nkzId0Ip8719OtppA+Y0hyzA5Bc7RWzrbeDOo2tQaTPQo/DuzUHGrlABZgwmGMhpjp5C25dWGspUc7BpjpoFmIBaHnr+uqybEFdjlDGootFX38LyAPZqDpaZCHTAVNiCCqs5qjGtqrYFeZE0h629eyjCNBOTYGJ+uo8kSaT7jK3msAkwHZ0PdQykKc0RqpnwT3Por5GLEZ8rTBOjMnZK1Vb+Akw6iZbVNZTuf68PimMwwQnYub5De9v3rOaIDpgVIoMowPSo5mDSEaaBnxNg8mmO+jUTSnnoNTnVIZ4Den5UgVPYzXl5fTKQH5ixr6Rt1RzcpKzXTKiToWynTZkJkuYosZqjEtOqkht9lWmnbRO3hiJkkhPTHAu75bRKMKF4rhTQTDgIT02loV7MRCKejxGzGAJS4TPiYZuuUVktrQH/ag7t90ymVbvjU1VBLN2/b9dQLuVq8prwbvRVUjnvDV0a6gJOM+FczZGaB8JBPwV91ynN0QAzQctDJWaCTOL0IQxlJi4J3UoPz00bPjnGdC9FkkzSVDYBpm81h9wQyBz9t8a0qoOaiaru96ICzLwCRg4m2qaZCGUmdGmOyb/F95WUQKphJmpMc4gpFWODsJS/V+k4VRkz4Znm4JgJk9dEUw6YkZmwgPeZ4KPCEAdMF8c4W1OpKmCz1JY0E4yVtHgDh04sF9e39/4+RPqjcEiSRMlni+AmKV2rcHsLcrnagLqWllnNIe6rl6r7MkE3IFad5ihip11PmsOfmcjPmciAOaU5vIIJQTOhmQTK8pmg7rtsmkMrwGyImZAafenTHKYJNSWLiEmaoybNhJNplVkzYaro8NZMlGRaFYMJC+ane86rLu4i2tMcdvFLM8yEuXOozEyoE5NIxYZOLBfXJsEEbbamA6WgRXACTFV8ZNBMCOkaGx1dZjVHEc8FfWloh9IcFQgwnZkJKc3BMRNqmoMydT4CTNqIjoNZMxEowMwypTlWP1AzIf4dusrd2yfD9k72457moNdAPIc6zUTVaQ5nzQSb5ihRMxFLQ+sB7zOhCybkf7sIMF3EL3TwKWtwNUFJc3hoJsavTQbckGAiyzJcEoOJWXuaAzAHE66lobSxTg6dAyZ3jdUWzwUm1wKeC7rytrkupTmq0EwECTA5zcRIuc8GVIzrJcC0MxPmao7ANMcoU47L3ILclZmos5pD7wNDJ1Txfs3HJzXNUSYzMfnbWzPhyUx4ayYU06oYTFSChUFPWXlzEw0g3/hJMp5QbHbaNDDg0xxEgFlDaSh1+lOYCYPPBECYiYCJZW1rKD3cLmkOQB3oRbiVhma7AYW6bZ0Dpi6446jNEBRpesUFH7NTqXW14oty0xzmsttQFBdg5swETXO0QzORJPZVqAjFZ6KIA6aomQhggHRQggIxzWHwR7BR/RIzsaNLc1RbzeFa1cMyEybNhCczoWomYpqjEoRWc+Q3r7HRF5Pm4Hz7mzCt6vdSKbVAgwmTzwQgD3ghq1QxxQH4pDkm+6U2x8rKiwn2doYj7fHK1RzCoK8ZdDijmhBsF0pzqMdWdooDGJ8D8dDayEyI58JlksuyTPKZWGCZiXLttF3uK92Y4ntvqHba6vuuDph9iZnwF7rqYK7m0NPzpvQIIC92dALMUjUTntUcNs0EvedEeAswHSoKXRCDCQsWBmGaifwCmlZV0z01zcFRTEUcEIvAZKlt8pkA5AE1ZJV6aZ0GE25pDvFYVGZC/my/xzMTuusrV3PYmQl5hVZkci2Q5mA+X7b4MkfRADKHadVbBL7CwLHT4OTfeRA2K9xja2xpaLXMRKLpRuy7klYEmIUcMDVpjhI1Eznbu7dPjXga4Jv6iZhm0hz0N1VdzWHUTEgOmNWmOUzpIh/EYMICTjOhE7+IN3B+85hWVVzX0LY0+gKopTZlJsyaCVng5D+gXFyTg5dDs/7MhKqZ4JgJdXXjwkzI3QVdmIkC1RwlMxNle0zkEO8DXSrQBaZ8fBH4BhO0L0fuMyHqTbaHGa5vluiA6XituYmuCDPBmlYltAX55D31GokCzBKrOcQx1VIx5WpaBfDjU6UCTFKGyx2jCHGsYktDSxRgxtLQmsB1Dd0cakpDuTSHZUAwRde61+rQTAB6ZmK4qyvIQdXrAB/5+0BlJopXc3DpIk6AqQ0mdMyE5npQGjkU4nd9Bzju/quKmRgweegQVOX4KtPv9uOjHUO5ag4AuLQuB74z1LSqZAEmwAfwvsJsq2aCMhPGag6emQjNv0+OSz4eEUolnNG0St5u7QJMLs0hnEN6PcXzywXmsTS0g+B9JtyZCXM1h7oybkujL0AOJta2hri+u1KjPhs0DQSUr5lwZybcBZi9lF/d6HxENoeTBjsudDSlkUMh6mjK0UxUH0wUSnMYVr1F4Eu/X9+SmQnOZwJQA99iPhMFmAnP80QrDPzSHPprVJVmQg0m9OfVtjqfZu7V+gWYwoKsTwNOIc3haVrln+aIpaG1YH6659y4SmYmxv/3tdN2KQ2tK81B2y3n7IRaV2/RTAQFE/Jqz1UzIQYT1EyIZSaYfKGOos+yyTW2lYYC5VVzuOxLB251VYUAc7yvktIcFZkH+VYZrJKOoZwDJqAGvvSc+wQTpslT2kcZzIRTmoM/NmfNRIVpDoXVFbuGWkSIEnOaBxMVpdfo/vc0E8Ix0jHUKsD0SHOkvqWhMc1RDRYGfaRp4rTSZgWYhsF/0OfSHO3RTNDy0Gd2J3j6+23VHHWmOcQIn7bqZVvEe2gmAN7gRpvmkHoflJPmKEUz0fY0R0VMHJ3kTG2cAewxcTk4nwlAvldn+qnVDdWdmTCLtyl805/S/emb5jCwR2WWhoYzEzB+lhuf6D1bqgCTTXPoy+slzQSX5nCs5nApFVY0E1GAWQ3yAcSFwmUFmFZmwl7j21QwcYSwAc/sWmrb6uqBcQonR0gwoaQ5AjQTgMyisHbaHtUcwOTauwz64qBaiJlwCFx04Ks5ahBgtrzRF2BPPSnMBOMzAUAyV+NYOqVPi7EFuWuag6nm8Ay67NUc/IoacNdMFDatYtjeyX70KWLOgEsEV21WpKGeDUXSHDwz4aaZsOklgPKYiRu60df58+dx4cIF6bXNzUnVwlggOb7Ig36Ka7tv+fhMpOnYCZEbt6a5ao6WmFYBwJF5eQKfMBPmunqgDM3EJM0xx7SB14HrHJoHGKxplYcAExCV32Lqwc5MFNJMFDKtYjQTgxpKQ1vZm0MdsE23lVLN4cBM0PsPGJcz9tJE8Bdwy3ebnnNu1ewbdCkOmEo6NZW6hrpqJsSgprCdtmGVreurQ48VYEyrOJ8J8tyX6TTMpYvE3zbdl5sUiueNq4Zz1Uy4zBVllYbe0MHE6dOncerUKfWNI7cCmJSCAfKEqTMM0SmPp3opO0EN2GqO9ggwqU4hZwvULokV+ExIVtpurASgDvSi6pm102YFmIZgYk+sJfpM2DUTRejeQqWhDVVztLJrqMOzJuI6YSbmNdUcVzbENAd/bvtCMGGaYF3FtpxmwndcUHtzMGkObQtyg2aipjSHyT2YM+ASwffmyLSfKQq2ayh5rvtpsncM4oTOCcJdqzmcmAmHIgAX3NDBxMmTJ3H8+HHptRMnTuB7V8crErEePzTNAYxXDGSRAyBnJhzSHA0JMHVpDm/NxI7/zenbMTSHkuYQUjKqkQ2X5tA7YAKTFbfLBF9aNUch0ypOM1F9mqOIZqKyRl8e2gUAkvslIDIT8jkVbyuuTDrfd855VlXN4c1MWO209SJio2ZCqpopM81BmQl9aoBrbSCCG5+qqiIC7GmOHg0mbMyESYDprZmgaY7ITHhjeXkZy8vL0muDwQDAeBARV3BOwYTmxh8HDGok6VzN0ZBmgooe8wmeMjMuPhNZlnm1zhbTHK6VHNyxSMwEeSiDBJh7mgk/n4limokiAsw6mYnJdtuZ5tCr/zkozISmmkMEpx+i+3ZOcxiYBi6AL26nbRFgBmkmKkxzpHQS5MXW3Hnhxqdq0xwMM0Gu9fh6q5os70ZfnuNFNK2qAeIKbsY3mCDMBAfetKo9wcTSTF/al5aZ4HwmDCYsLrgU0H4c4NIcfszEti3NwTATLg6YZVVzeJtW1egzweWhQ6BohJpiJjQOmOZgQp/mcNlvMWaiQJqDE2ASB0wAGO2laur3maDnw7VrKEf102BsZ5QpAszq0hz5/+XfpnMO9W705clM+D4XOsRgwgBZM2FfdWnTHJoVBmenzVdzND+eUcsAACAASURBVCPATJJEmsj3NBO0msPiMwH46SaGowxXNiYDuathFSD3TQDszATnQKpzOAUEgxsHZqKKao5yNBNVpTmEtvOFTKvqE2Ca4OqAKUKb5nBsMubsM8Hcc773hvj5UcaXTtNTz1H0dFul2mmbNBOmNIflPNJAYXNnVFl6jR4Ddw7pwsbWgtzY6KtwNUcsDS0d4qBbKM2hmWymeokx76d7razGRy4QUwx71RzkZrNpJgC/YOJyYJMvgK/myMGteH1LQ/PfIVOJdmairGoOb9Mq5tosVFTNQXtz2HwcdKBBXxWmVYCLAHMS0CbJhJ3kKjZy6AINF/fNLMvcmQnOtKpANQegsoc0zQGAFZH200RKYZZqpy0cktVnQkxzWFbn3Pik2GmXyUywaY7J/mjK1eaASd19RchaDPuxqT4TkZkoHaK5j0jlaxt9aS4iF+FO9cYPoEmRvPea8JAkid3RrEwcEZiJic+EubERoK6cfGhv1f2ygABT2C+nVueCOadqDmmCtwsw6XX9+NfO4Dn/8gt46yceVYInirJNq6pzwJwcW5aFr0qpEK6sNIfLsyZC9JlYmO7vTZjFNRP8funLvqWh3tUcZNVKJ1MuzTEJJvTMnHgco2ySGgmBUYBJgyFNaSi3Oqfj09bOqLJutYCmmoMyEz5pDsdqDpd7wqcRnQkxmDBAz0xoSkO11Rzqac63p6yWLL056tJL5BBZgTzN4VLNQX0hfGjv0L4cgJ8AM5SZyIj1sEtpqPj59e0hfvnz38QPLm/gz771ND7z2N8aflFB06paS0Pl7YbqJmrzmbAKMCfMhHjOaCpNhJtmgt+vj1akbJ8JQL1eLDOR5ZUPeraMjmlFUnw+AswdnQCTOS/K+DRk0hxV2Wnv/iaqmdAFnLwAszzNRO6DkiM6YFYAnc+EVjOhrebQ02xq5zuzA2bdwcQRwVL78sY2hqPMyWdCifw96E7VStsnzaHXTKgCTL4FvM0BU8kXe1ZznF/dxJqw6n3i4pp2f0Ax0ypuMKnDZwII8xcBKhRgeqY5RM2EWCZuSnOYSkNt++VMo3TgfSaKBRMKM2FMc4g+KzZhZEnMhIdmwibA5JhTWoJZfZqDCDA16SFegOmqmXA7PnnfkZkoHd4+Ex7VHJNgws5MyAK8ei+ZmGLIsrGewclnQplY3G9QmubwEmAaqjmcTKssPhNbw8xZqKXLk9PtG5XZo0zyMfBdLSWJKjIV7+sy4dpd14bKGn0VqOYQU55B1RwOAkyfqq0yqjno9un16qemNIeBmSiJNhf3B9jTHEUEmPxzXV+ag6ZcrXbazg6Ybr9BvIZRgFkBxBWcOEhsDzM2D6gTC3EPeX4z+5aG1s5MUOOqtS1vnwlAnxriQNMcxUpDBWaCGayVvgmjzOiRMKZD3Wh4HTNBBwLTpFvGKp0eX3WloWUFE9WYB/kGE6LPxLxjMKFjLZyYCY9gohSfCZtmgk1zjP9vqjAqq3HUeH+GNIehCsFbgLmjCjDLTXNM/uarOVLtPcI2+irRAXO8f/v9aUMMJgxY0GgmAP4CS+pcS5pjoGEmbI2+6ioLzaH057i+5aiZCGcmiqU55P2KgQ/HTNB8oUujL9fcKu3KKG5DOkbDwEADlxBmijIn7U9zuE+qPijigCmyObSLsAiuTJruW7dSd02fAZpGXwV8JgDVqbaXGNIcJs1EZcyE/J4rM8GOv8y9WpVWB+DTHEbNhIHJBNxbkLv+BHEMi8xEBdBpJgD+AuvTHHpmwqX2XQxSmhRgAmPWQO0aymkm1MjfFUqaw4OZoMcimVZpJin6ENsEmK6Tnc5O2yfNoZQFBwST4v2XJOaVdRFUl+ZoSoDJMxOAnoEo4oBpa04lgq/mqEAzEVTNUZ5mgqYCRBh9JkRmgtVMmH0m0sRNvOgKcVujjCkD7iXS77G1IDdpJkI0VnKaIzITpUNXzQHwE4DU6Eu4gbmcer6ycLLTLmCnXBRcmqNqnwkxzZEmwJJHjt/sM8EP1pTis5WGBqU5DMGEaX90lRCW5ph8Z36652Vr7oPK0hwVCTBN9fRZlsmaCXIP6gKyIg6YXtUcZfhMkPvAq5rDRzNBfleWZXj62qbTAsOkfTCNneKY6e4zkWnfLwp6DNQkrJdQ0yozM7E9VO3Pc/hWcwCEmYjVHOXDzEyokaHuIppKk/IW5TmsaY4GBZhAzkw4+Ez0zQOVCaKV9qHZKS9fDZ+uoX0moBsLMM0OmGpDIE2aQ1vqJW/fdZUx3pf/9RcHxqo8JoDymAkfut8HPvT7xs5I8n2gzdG0wUQBB0y/NEcJPhM2ZiKRxybAsZrDogN74H/9v3Hsg/8HXvaR/4hLhIWkMOX/6b+9NBN99bfLbEvJwYRFn9Lv6UtDdQsxXXo0pJqjDAv0GEwYYNJMeKU5mIdczHnaLmSrBJhEM5EmvGKYq+N2hZjmOOShlxjvlzIT+jRHEDPBpjl01PbkdXHflNUy5T/LYSbEYKKaFAdQnmaiKvMg24pZxHXSl6PcNIerANNQGlqCzwQ9H2qag1tR2zUT9HqJv+t7z6zhs//PkwCAbz29in/312eNx2gKCuhCTFvN4ZDm2NqhwUS546zN00P1mRhpP5tDJ8I0pYZ0kDUTMZgoHbquoYBDMCFcQ1NpKH3fGkw0LcBc25ImQ53gjHOYc4UowPSp5ADGpZDigL7hwkyQVSMNlkTwQi0dMzH5WxwUfdIc5Wgm5DRHVShNMzGSz39Zjq8+ufzVLb4vR445zXksYqfNmarpQFfWts9zUAWYJWkmlCqLye86f31Teu+HVzaMx2gr8ZzSnFe7aZUqEK8zzaEGEynrgJllmXZy12mtfB0wATkAjALMCiAOIDQXygYTmXgDT04td0HFnKfNy75JAebsVE968C6uyT4TXMdQoDzNhG8wAcgDumSn7cJMDOXSUDqJ8A2BNJoJ12oOjzRHSJrrjiPze38/f3nB+/uuKEsz4dL3JAQufXBy0PbjtJ+Jd5rDQYDpVRraU/fvXc3hYqetLQ0N00zQe+LSmtlK3sYw6FKJdtMqNW1dKTOh6FPk+6uXyuNIfvymcdMlmHC9JfolMBPVJVD3AYoxE0KawxIZ2yjQJgWYSZLgyNw0nrw6XkE8c31LuvF0g2foKjXLMimYODTrl+bYO6b18d+m0lCummObmFYtDfq4KnQw9WEmxIkw21VwJ0niKcAszkw8/HdfiHNXriNNEvyrn3mB9/ddUVqaw6Ejawi8mAlbmkMjtKxPgFkGMyH/20mA6aKZUKpm9IE0LQOnMDX6Gu+LFw76N/rKpPu1dM2EklJSFwnchE7LdUXo0hxBAkyHYNeGGEwYoHPABHTVHB6loVKaw0czUT+ZdHhuai+YuLi+jQMz+vOSg3tYXbC+PZQe6hBmQhzQjaWhuw8vPf/igLc40weuTL6ztZM5D/pK++ZRhn4vUZgIc2locc3Ei25ewp/+w3sAACsri97fd0UVAswyB3UfASYNJlQBpkkzoW63DgFmJb05dGkOH58JAyvnJcC0BBO6NAd3WlQHTHmRUHqaw1I5o9NMGJkJjdaqjNJQ/1E3pjmMMDMTtmqOyeum3hz0fXs1R73MBCD353jm+pZ0E+tWYtzD6oIiTb5yiAP9hqEFuTbNIQYTbJrDvzR0vP9sbxsizALM4tUcdaG80tBq7ncvASZJc6gCTF2aI5yZKOoz4StUtVYYGEtDw3wm/JkJc7pCd15tQYjCopEqrfIFmPK/6fwxDiaEgHPIjxUitMxEQDVHLA2tENO9VBq4qTag1DRHiwWYAGlDTnwmnJkJx4mliJV2jhmtZkL+XD7ImKo5Zqd60mDk012QrgqGmmDCVIpalRtkFSjPtKqaQd1kckQhul8C7j4TTnbarg6Yvo2+fKs5lGZ8ajDDsWuAWTNBr5l4Pb2DCR9mQpPmYDVrzHguphTqFmDSPkFumgmHYMJxvHC5P63bCPrWPsH58+dx4cIF6bXNzbHamAqubANllmVSXbpXmsNaGjpiP1sXRBfM1c0hrgkaAl0pnHK+HJmJS+sy7eljpc0dk46ZSBPsmTepPhOywHTQT/e6fPqUhioDcaZhJio2raoLVdhpV8tM+AgwyzStchRg+qY5SmYmTGkOeUyyaCaMaQ6fYEJ9X2qdLUyCsmmV+j1OIC4zE9WmOTgWiFb1ZZm5TL2yNEegz8QNHUycPn0ap06dUl5fPLKC//kfvFh6zTY50vMvmVZZTFMkZoKJCpsUYAKq10SunwCqZybC0hyCZmLHvlqhzJDIFAz6KaZ7KdYwfm1sWuVYGprwk5fiM+FVGtpeMrEaZqJCzUQRAaZOMzGVAsyCUbzfRhkwGmVKyatXaShzz/kyE06lodo0h0EzYTCt2hzKJ6d4moPfT5hplfibyk5z+GkmgHEgZQrIndIcAQLM0NLQGzqYOHnyJI4fPy69duLECaRpine8+BbpdZoLpTeDKd/Jm1ZpNBPMqqXpNAdNNYirNq1mQqFQa0xz6JgJzWqFmobRNI74W/g0h47adktzDEcZdoYj1vyrS8xEFZqJsqy0AWaSMwkwKTPh6oDZ7/HBRE+dlFOYNRzedtoFfSYU6l3T6Iv2lSiimbi+NS7J5J6hLMsgxAR2n4lCplXyxN2IzwTD6BiZCV1pqEa7Z0IZvTlu6GBieXkZy8vL0muDwQBZpp5Mm2ZiSL5jt9PWVHNwzESLBJgUWmYicJVKac+gNIdGM6Gj/0wCzEE/lX7j1o6a5tAN4vRBnggw1dlmc4cPJsowraoLlaQ5SmUm6GBtEGBuhgowU+xsqq9zEyzdRPEW5OWmOVJNmsPGlqlVM3rNBDB+5lcWB8rrygKNOR+yzwRfueUiwNwc1u0zQVkgntExMbpOmomgFuRRgFkplNLQbQszIWomPKo5OOpVvMmbCCZM7ICrz4QzM7Ee3jF075iEfYtUoLZ3iiKwnHwuT3Pk2GSYCX3XUDdmIt8uhzJakNeFStIcDWkm1slATYOHInbagH3RAJgDqSpKQ8VnNH+PS3PYGrHR4GLbwEwA+lQHXaBxz5muOZZ4em3VdMCYmZAZsWqZCVUzkbL3p0lrts5oJqh2L3YNbSG4SFaEMc1hEWD6lYbWf8moZkKEjpmgD6PJfEUEZSaKaibE7no67Yn49xrJQw76qcSyhHYNBSb3CEdP6sVUbpUjbUBpaY66fCYMwQRdEdL7vIgAc7xvczUY9x0RZbQgV3pzCL85H7+4e9h2/5sCJ69gwqFUVu+AqQZGpmMedw0V0hyacS0U1jRHL1HGzO3hyMxMMJoJdVHrdny2lg4uiMGEI2yrLmOaw0KzWR0wW5zm0A2eKREUhWgm5qZ72rp9E+jqME8ruHR1pSp+ykz4lIbq0xxMMKGhLH1EeU3DxYvFBTsVMXF0W6YVGL1G9BpzwcR0L9X2ETFVOOhe8/aZ8LXTVlbLaq5dSXNkTIt4q2bClubgjat0pdzSvqUUpSbNoQlCTCXfZTJi3DGwAkwmzWH2mWACUsM8ZAK9ZiHhRAwmHGENJozMBKcm1mgmWugzYUpz6JgJQP6NrqtUqWNoACsBqGLZ/KHTMxOT41yjwURP7k2yyWgmXLqGAvrSUN1rgFqm1eZqjn6aQBwzXV1PKWRmokIBpiE3LF6P6V66V0acgwsmdCk/ft8uaQ4/Aaa3nbZBM5FPQnSTw1Gm3JN0v0YBJrOocE1z2H0mRAGm+XsAFC3UlqFCpShcxK4co+PrM6EuPvzTHACCoon2jkwtg63Rl4le8ktzyNvJskzadts0E6ZgYkBW9C4o0jE0B81nbzDMhC7NQaEyExzNq2EmNDX6LDOhS3N0iJlIkkS65u0rDbWzAznE+5W7xznNhE4vMd63g2aiYGlomXbaujTHiNNMKKWh+vPM3RO0giuHb5pDDHJ0z7oI8bne2BlJ+yu/mkP+t6KZ6DHBREA1hxqAuR0fvXeygGgiBhOOqC/NYQ5SmphMBv2etnW1aQCVtAYBaY5gZoIEfvlELXUSDA4mRkr5rl4zIf/bVM2hS3O47qstkNmowDRHXaZVjmkObuLmmQl9Ss5Fr+FVGspqJoqlObh9u2kmiADTozQU8NBMcMyE2Jl397joAkz3O6el9KbsK1J3NcfYtEqtNvL1mfCxZBdB9RpMQaMV7R6ZWgR6c/mlOczMhCnNUUYL6jKg000MNJoJQH5Y3U2rJmmOkLJQQKWb84dOx/DYggmlNNRxBamr5uBWFLoVSJfstAFCHYemOSqim70EmBIzod7jbDDhw0xY/GTG3zGwfpzPhK+dtuFe2qvmYNg1tZqDMhNUm2IvDeXglOaQhIPjbZsMBEWIY/AqKQWuXYDJVHNs29IcDJup6G5cNRMKM+GPGEw4IkkS6QGmE4JJLMRqJnr8ZEajfp88apU4okk5mAZQcRB2sdMejjJcEay6w9MchJnYsTAThnNKTas2dzhmQifA9Ehz6DQTHTKtAkDSHMWZiaZakFOvEQouzaGr8Bjv21+AaZvs6aLTvwW5QzDBlYZavE/MdtrqPVGkmoPTTLiuzsWAgQqvSxdg2jQTKX9/+jb6CmWyyyiFjcGEBwYGCtc3zTHtmOZoy8pUxxIYBZiezMTl9eJloYAa4GxYmAnTg6SUhg6Z0lDH3hymag5XZqJbaY7imolS0xweAkzZDdExzWFiJkoWYCZJoqQ6vKs5DBS4uTTUopnwLQ3VVnO4pDkmf+fPpWtFgzh20cZu9ffm4HwmRsaSejfNhGMwQZmJmOaoFlTVL8I3zTFwTXO0ZGWq85owKdip1sCGi2vFm3wBqmZir5pDrD0Xro+NmRgowYQbM6E1rWLOBVczDnCmVS1nJkoJJgRmosS0no8AU2YmHNMcPpoJJgXku6qkwUQlzISS5lDvySJ22oCemVApe/1xjj8/2j1Gt/Mopzl2tO+VAafeHFxp6FDP7jn5TLhqJsjvjQLMimFSqns7YGqYie1hJtl5t4eZ4FmCQc+gmfDMn9NBpexqDl2JrVEz0ZMFmOM8pts1UWv0dzUTzCCgS3N0ybQKCKvgoZA6Upb4e2lqwFmA2VePobhmwsFnwhpMEOFjQZ8J7j03B0wLM1FWaSgzMXJmS67nUXyulTRHA42+VNOqTGEm5gQhPJfmCE2LKz4TkZmoFuLKgz4U5t4cltJQcsHF+6HtAkwTM+G7Si2jY+j4mHjNhM7IxiZ0o6sU6kXhX83hkea4wZiJ0SjMDtgVNoO4HJIAk7m+hUtDWQGmHwtJRYJFfSa499g0h0Uzodhphwowfas5fDUTBrO6qtMcqmaCYyZGyucOzEzaabFpjmBmoiUCzGvXruHhhx/GK1/5Stx888149rOfjde+9rX4vd/7PWxt8fmwUPzKr/wKlpaWsLS0hB/90R8tdds2BKc5LKWhNCIVB5W2CzDNmgm/VWoZTb4AdVDPI3hdyaFPNQfgXkbm05tDXxp6Y2kmXMWtoXANJmRmwk1sWViA6Rk4qpoJv3MVVM3h4jNRY2mo+FqWjb/j8j3AvRKtDNh7c7iZVh2YmYzDTsGEs2aieGlo4a6h3//+9/HmN78ZZ86cAQDMzc1hc3MTjz32GB577DH80R/9ER555BEcOnSo6K7wla98BZ/85CcLbycUUjWHT6MvT2ZiZ5hhsHtlXDtUVg3dxG70mRCDCSdmgmomSqrm2GaYCedgoqcM2nQVo1s969o385qJfcJMFExzVP17x9dK1dBQ2Eyrpnopemki3VNGzUSIANPCyqiaiSrSHPLrLj4Tpt/KBRO6NuQuaQ6O8XEVIXLpqxx1O2COgwk14DQxE05pDtfSUOVzGQC/Z6/QGRsOh3jnO9+JM2fO4NixY/j85z+Ps2fP4umnn8YnP/lJLC4u4hvf+Abe8573FNkNAGBtbQ2/+Iu/iH6/j5e97GWFtxcCU9mbSSzkU80ByKtRVYDZrjSHs8+EiwCTVnMEBhM09cJqJlJ9MCeCVnMA7vlVLs0x1sSon9V2De2YaVXRNEfVTEwIM8GlOQBgjgQPhR0wPScCGuQUdcCU3jOkOdQFjo2ZMKc5AD7V4ZTmYBZiIQJMn/dCQC+N2uiL7xpKx80lMc1RYm8OxbTK6VsyCp2xP/zDP8Q3v/lNAMCnPvUpvO51rxtvNE3xjne8Ax/96EcBAF/4whfwl3/5l0V2hd/4jd/A9773PfzyL/8y7rrrrkLbCoU0UFLNhLGagwkmhNeUNIew7bakOQ5r9AvOPhMOE0t5aQ47M1FWmmMs6nNPc+jOg66aoy0CXFcUTnM4VsqEQjI5chZg8vc41U0Ye3OEmFZZfjs9Lv/SUMN7af4ZlzQHYSY8S0MBPtXh0uirn6gTcIgAk6JyASb5cb0kUfa5PZQ1E700wfy0mZkoTTNRtwDz05/+NADgNa95DV7xilco799///24/fbbAQCf+cxngvfz6KOP4mMf+xjuvPNO/Nqv/VrwdorCqJkwRIRsaagw4ZlowbZMJnpmwhDdCzSib2lokgBLg7AsHB3kOc2EnObwE2CKzIQp7UQHkDFtyQcN2kZfFU+uZaNob46q7/cgAaY2mKDMRH122kC1paH5MxHSgly1hTabVgGaYCIgzbE9HDlPqKaxq3KfCTbNYWYmBv1UWryxjb4a1EwEn7G1tTV87WtfAwC88Y1vZD+TJAne8IY3AAD+4i/+Img/m5ubeN/73ocsy/A7v/M7mJmZCTvgEuAlwLSZVhlKE8WHtS0+Azr9gilPTEsqM8sdSvty6No526AwE3k1R3CjL/l9MZgwrR7pdocavYR4jBRtqeZxBfXk8IVN3FcUchk2f3wjMmHqVrBqMGFgJgwTbA56OPZgQn6/1DSHrjR0lFlFsnTiFM+l7v7njKt8BZjA+Lw6aybqTHNYmIlxoy+zZmK6l0rj7cbOSBlTQx0wec2EH4LP2OOPP47R7k1lSjvcfffdAICnn34aFy9e9N7Phz70ITz++OP4R//oH+HVr3512MGWhBkDbV+kN4dp1eK7WqkKujJNY9dQ8p5tcpE7hoalOACDZmKoYyYMwUQvVXQhYprDZKrE9TXQpzl0zIR8X7U8yyFd81Gman5scO3IGgpxwNYxE3Sy1DMTKfl3ucyE3WeiGDNhrObYfStl0xxmzUSaJtJ96qSZYNMcDj4TXDARYKetbLcBnwmOoabMhHjPZZk6poZXc5A0h9O3ZARXc5w9e3bv71tuuUX7OfG9s2fP4vDhw877+MY3voGPfvSjWFlZwW/8xm+EHegu7r33XqfPffe738Wtt96Kc+fOKe9lO5PoeXNnJH3mmUuXpc+uXru29/7Vy+vKtq5cegbXdy/05vqa9N7T5y9gfjhmYM4/c1V6b+36KntsdeDAoIcrpCHO6uWLODe6zn5+Z3NT+vffPnUOC4PJgHv+/Hnp/fNXJ+dpYQrBv5OuOC9evY5z585hW3CTG25v7W1/Y40/fgC4dvkiNtZWpddWhf4hvSTTHufVq1fk47h8BX874Mvgrly/zm5ndW1yb0yliXLOXBH6PV/sbMnX/AdPPa3tOMvh6WfkZ2Vjba3U+z3JJvfG+uYWu+1rxA1xuLXJfq4P+T7b3hgfK3eur5F74ZlLl3HunDz8XrsujwMXL1wwTwZD+TgvPXMBqx4r6kvX9GX7o+EOzp07h0uXN+RjvHYd00P5Gl+7ehnnzsnH0k+TPXO31bV1nDt3brd9OT9Nff/cRZw7Jy8gLlyUz9n11avKddjckM/Z2fMXFIH0+ho/Zu5sbSiv7e3r2lWcO+d+39pw9fI16d9rm/K5v3zpIq5dl8eGi5evYHVtcox9ZBgxz5eYDr5wUZ4vrq9ec3p+rl+Tv7czHAIGDRCHYGbi2rXJyZmdndV+TnxP/I4NOzs7eN/73oednR18+MMfLqW0tChEWpFGwKpYSPxbHhASyOIntZrDIMBscGl6cFaNPU3RPaVhtwyleABwSZikD82EVy33ycpocy/NMXlNfN80YE8zaY41Qfhkuh5KmmOkumdOjlGzSh7yqZm2YkCvuWfnUKWao3TNxORvHTNBj1nnOUDTGiaWjrsXKOii3fbTbcJHG0yL71RXzcE1+rKkH/LzbLoXLm8wYkLycS7tSX8DV82hTXOYnvuKmQkaVPUYzQR1253uJ8o9RhnN4K6h9HNN+ExUhY985CP4q7/6K/zMz/wM3v72txfe3qOPPur0uXvvvRdZlmFlZUV57+Di0wAmq44Dh49gblddu3hBPvuHDx7c28bmlLzamu6nuOmmmybbXZJXvgcOHsbKytJ4u5fki3z44AH22OrAyuIszlyWI+Nbj92ERc3Ef3BJTmsdOHQEK0uq5mVlZQVZlkmsx7GDC4V+58xUb+JU2Z/GysqKFPAtzM3ubf/QgTVmC2M8+9gKlp+Rr+2m8IAPpvra4zx6XT4v8wuLmF9aZD+b9abY7fSnv7/391Q/LXztq753Di09I/37wKHD7DXX4clteTV66MBSqcc8mJ4CMF7tJb0eu+3tK/LzemiJvxcPzD8BYLKiWzksP5vi38ur8ip3bmFR2ebU9N/u/d1PE2mM4LA0/wMAlwCMJw3b5ymSuU3te7OD8TOzPZDPxczsHGaIfuqm5aNYWZHv66leutcTpz89wMrKCq5u8KwcAGyn08r5IMMHDh9Qx74Di08iPwcAcODQIUwRZuLgEn8P0XtVxPKRw1hZOap93xfLmzLrsp3J4/qx5aNIZ2W2Ym5hAVk6+W2z01M4elA+zwsHD2Pl8Nzev5cuSW+z54w9vmtykJIEaLOCmYnFxcmPWl9XaXzuPfE7JnznO9/Bhz/8YSwsLOAjH/lI6CGWDhoVinkvk/CFriBs3f5kB8x2aCYAXoTpo5mwtdMV3w+10s4xK+w7r+YQhVleplWBqm+/ag5NaWhFHTSrAtWX+FZ0KILjKh0wtSyRfMx6ASYpDTVVczgIMHUOrTrcIgRpNy8OrJ+ny+QaNQAAIABJREFUCGr0xaQquGMV2Yo87Wi6F1ifCQchJadFUb/H77NRAaaimWB8JoayxopWcwBqSXmwZqLJFuTHjh3b+/vJJ5/Ufk58T/yOCf/sn/0zbG1t4Vd/9Vdx8OBBrK6uSv/t7Izp8CzL9l7b3tZHvWXBJ5gwTVZ0O6ZqjjalOWjn0CQxC5XoA2kSYJbV5CuHpHreHquefX0memmCXqq2ehZh+v1cNYdOaKmr5hAp5bYbVgHMM+ItwCSVAqWnOewCTFq251oayvXrmOzXT4DpEkT9wk/chhcsz2Nh0MNvvdnfe8fJTpstDbWXK4vBk6knTQ4XASZ3vNwE3A0B5lB5n21BLpzr6V6q3HPrljSH63zRqJ32C17wAqRpitFohG9/+9t405vexH7uW9/6FgDgpptuchZf5tbcH/zgB/HBD35Q+7kf/OAHewLP3/qt38L73vc+j1/gD7rykIIJD58Jmwrb6DPR4IRCvSYGvVRr2AQwmgnDYKI0+SoaTJB6bDp2m5ijHPkk4pMLF+FTzeHS6KsbzIQ7G8VBcVdswAGTBkDupaHFWpDrHFp1eN7yAr7zz19v/ZwOwY2+LNUcAM8AFQ0mXJiJ7ZHqM6E7l8ZFQskl2IrPBMPucP4cVmZipxxmQuka6vQtGcFnbG5uDq985SsBAF/84hfZz2RZhi996UsAgNe/PvymbwtMqy4fB0zqCU/fNzb6alGaw+QxAfgxE5eplXbRNIdwbOvbI2PZnW6wyQ2YzMyEZ5pD5zOhKw2tqB13VSgaTNBVb+mmVUzLagra9tm1NLSoA6aOOasKwWkOh2ZsXNBmuhdoX558X7bjVZ6xIeeAye/TbLhXbZqDY114AabeZwJQGc1gO22lNLRGnwkAeOCBBwAAX/7yl/H1r39def9zn/scnnjiCQDAu971Luft/vVf/zWuXr2q/S/f73Oe85y916pmJQD15hMnAHOag6i+LQ16pDRHS0yrADXNYXoYufdNgwkNJg4WDCbEgX1jZ2hcrego5fz4jXSoZzWH1mdCp5nwXK02DXpvewcTFTMTU1KaQ8cSydeiPgdMXtNTFcwOmDpmgvMCsTATo0DNBK2QC/WZCDCtqjrNQaFzwKTMhM7dN4fLOePQqAMmMA4m7rnnHmRZhgcffHCv/8ZoNMLnPvc5/NIv/RKAsUPmfffdJ3334Ycf3mslnqc12g6jZsIg+lGZCRJMGO202yvANDn+Aerv9GEmCgcTfVkz4duIDRCCCQ9dhLwPNZjQ9eDQ22mLmon2MxP0mhdNc1Rqp60RYKqloY7BhImZcBFg1pzSMqY5CmompjjNhIdmKt8Xd0ym11gBpk4z0WCaQ3mfNa0akdLQVNt3SPyOCHfNRPH7rVBpaL/fx2c/+1m85S1vwZkzZ/C2t70Nc3NzGI1G2NgYl1+95CUvwcc//vHCB9oGqKsuwQTJkOZIkkRqV6xUc/hoJppkJqhmwhZM0DSHxksBAC6vy6Y3B2eKpjnkag4jM2EJJkydUf2rOXzttLtWzaF/RlxQa6MvnWbCkZm4/dDEQ6eXJlJ1hbJfT2aijmttsqvf00wwaQ6QS2pjJrb3NBPqec2fB64NeUg1x/ZwhBH5no55NLUgN70XAhvBpm9BPjlnA1aAWZFmom5mAgBuu+02fPWrX8Wv//qv4+6770aSJJiamsLLXvYy/OZv/ia+9KUvtcJwqgyEVnMA8sVSBJh01WLsGtqgAJOkOUy0LuCpmdiokJnYYZgJYZAswkz4VnPoNRP8pNs906qimokWCDAdS0OPv+hmvPXum3B0fhq/+XdeqG2GR/cL6ASY9QeOpkom8f852N4clklel+Y4RspZaarDpSqDC9JMz7qIWpkJy/XspVzXUGpaxQkwqZ22335zKGmOAM1EKaZVi4uLeOihh/DQQw85f+cDH/gAPvCBDwTt72Mf+xg+9rGPBX23CIwCTEsUPdVLkLv0WktDDcxE2aVyPqBpjmo1E8VuTaqZMLV31gow94KJQAFmGdUcXS8N9U5zVCzAdAgmaJpDd58vDPp45N1uNv2+LcjrCiZ6acKeh3z8oocxHKnTDMsYMAwQF0ycuTTxIbq0vo0VIcAIqebYGakNBXUTqrlraMnMhCWllCSqZmJzR65MGQswzT4TwWmOEpiJ1jpgthFUSSszE/Jn6c0zjnTHF96a5jAJMBvMm9OVlylHDBSr5lgqmOYQmYn1bXNbYq0As1ewNJSjtg1pjizLlFLb7c6ZVhX1maDMRNnBRHkCTL/9eqY5agocdRNt/nwkydiaPj+0IfFrmeolbHk45+dhZSbIGBBmWqVe0zZ2DZXe2z1/9Lesban3oc1nIryagzIT/mj/UqdFMFG4tij6gLDSphQ+J7zh/gaaVfQvDfrSSoWeDwqad3QNJpZm+oXV7KJmYjjKFDpQZiZ0K5fxgxvqgMlVc+hKQAF1IgVuPGZCNa2qLs2hazrlKsD02m8FDphlQLdi1vUWGpI0gu6edPGZOEY0JrQNuUu6gj6a28PMuaIh9LkOgbFyppcHE/I+1wjrMN1jBJiKzwTZr2M1Rxn3W/tHpxbBWBpqiQh/4VW3723j5++9VXrPWBraIgFmmiY4tjgZAGy6BipcNJlWXRGafB0o0OQrB2WRxLbhgK9mIqw0lPeZ0AsSufLQJiaYIijbtKp0O20nAaabA6bXfh2Yibp9JgADMyG8LrYhp9UcuvtfZJS2XTUTlJlw8Itgqzkcx8xaS0MNk3p+fPQ46Zg16KtpDirA9G1jn0MtDW1IM3GjQKVw3ao5AODXXn8njr/oGOame3jWAbnLqmmgcfHBrxO/8BO34b//94+jnyb42ZffavwsFS66aiaKii8BtWx1lbROl+20zZoJY5rDR4Bp0EwA4+CUFgRIA3cHSkPL7s1RJTMx3M2vU5qepjnKMDDydcCsw2cC0HcOFccv8VhGGS1X9mAmhpZgwibAZM4JlyLO0mKaiX7Kp26KwMXTI03llBJtpc7ZaasCzLD5ogwHzBhMeKBINQcwtr/loDpgtpOZAID/7o3Px9/70WNYmO7juUfmjJ8N1UyUEUzQh251U47y3dIcqfF9wDzZce2bTZMr917nTKs8vEU4uLgrFgEX4NGA0FWAWWS/rACzAX2MTpsh3rtiYEEdMHXXpxLNBDPBq8zECJRw99VMVBG0u7iNAuPzlj8zNJjgG32VU81BA5kowKwYfqZV7jekmuYwaCZasDp90c1LTp9TTatMPhNCMFFQfAkwzIQpzWFxwEyScbMvbmI0DTyc1a9JM8GlObpmWlW0NLRqx1eulp9WOLuWhvqAFeMStEszwTMTtDeHEzOhCyaoZsKa5rALMLdHGZLEtTTUP/0RCpc0BzAei/IYggowp3upMgcpPhMF5qGpXur9vIpo/1KnRfBiJjxoMq9GXx1YneZwnViyLMNlQTNRSppD0UyY0hx2GlRPiXoIMA0+EwBvXNV906qizETJaQ4DC5iDBo1lMBO5cZ1pv02wULrT25eYicnrrpoJl9LQlQW5OiwkzeHUNVTHTGiuaxVCZ5c0B/2b00wkSUKaGJbjgAnIi5UQzUR3ZqYWwNg11LG5DAdjmqNlmgkfuNppX9+SHSrLSXPI+762QZgJl2BCuIi6VYyRmfDwmQD4iVdaBXYgkCwswKy8NNQeTFQhwKT7tncNbY8AU2ImMjdmQrxX8+CDalFmp3qS2DokzcGlj+j3fAWYVTCApsupc+NVqjl2q+PEhVJZ1RyAfM1iaWjFaCbN0eFgQrHT5ieWsg2rADXwWzUwE7oBUbzeIasYaldM7XEpOBdM2Xug/de+ODNRLROnrmTV46NBb1m0t80wq4lrrU1zaASY1AFTr5mwMxODfopDghGemuYgx+TkM5EpgZqvALOKNEfu18GhpxmLFM1Ebzym0VYBIkLttAH5novBRMVQSkMbSXO0f0LJ4SrALLvJF6BqJpTS0JLSHLZVDK0e0PXgANTBNiMGQV249vSaF/aZ2K/MRFsEmC7MhFIaar8nXdIcg16KQ8KzXoad9vaQafTlzUxUMy3qjkOf5tAwE6SJoYhCaQ6RmYgCTD+cP38eFy5ckF7b3NxEaikV3Pus1OhL/qyf8MUUTLRPgOkK11WqEkyUIMBUqzlCNBOTbegGHtvDKtoVW0tDlfwnpfzbH/un6dgWeNIp0q/RV9W/mW7PJZgoa2K3MRPigrrdaQ6RmbA/F3kJLtULDfopDs1OdBOX1mXTKpegwMVnwte0ytSLpwh6SYJtZs2vG4vo78jHUzMzQfZZYB7yxQ0dTJw+fRqnTp1SXj9y5Aj7+XH98SRqKy/NQaNrU5qj/RNKDnpzapkJomcoR4BpqebwZCZCVzFUdGcOJuSBga7Su8BMAOPztrO7qirqM1Flbw5AI8AUjjkXvZWyb6Ytt3wsk/3W5jOhCyZMaQ5Jx2NfbeffE++FNBmfD3OaI8BnYjTCcFS0NLQdzARFfryyZqIcO22672ha5YmTJ0/i+PHj0msnTpzQMhNJkmDQS/cuoPhwKM5jPmkOw2qJ5v86Mp8AGJ+vqV6yN/jUm+awMROC6MlBM6FNc1guSJ+s6nwEmOoqvRsXf9BP9yjaTqY5hnIwUcW+WQGmlD6oqZrDpTSUpjlGLsyEOqZt7qjnVUxzrG7KbchVhsF8nPl+XAWYvXRcYUP3U9Vz5sICmYKJ/JxJ1Rw2B0wfAaZwLaNplSeWl5exvLwsvTYYDIxR2cxUbxJMiF1Di9BLjpqJKpzZqsagn2J7l+re2uHPaxUCTJtplTgGFmEmbIM+HYjFAVVMBwBc/rObrJR43grbaZcuwCSTHCfAFI65TDGelwCzrcyE4oDJf59rpy0HE+Pn8xBZOFxe38bywmB3Xy6lofK/t4dMC3Ljaj/BOvl8FQJMQD+xu4jBgclxiWPbuqUFeXhpqPPX9tCN0alF0A2UZaloAdI1tGMCPArxwdRVMtBg4kAZplWWNIeuHEuEVBoaKMCkaQ4xlUF7kFDKsuoOmlWhSDAhMhNJUj7d7+Izwa2gS9m3QYCZZVm7gomU/4ziM+GoJdoZjXhmYk5+1i8KIkzVGlrdF1sa6iGG5wKH1qc5DMxEkXmoKDMRgwlPDKQLadBMeFVzkNJQTdfQLokvc4gPq84B80oVmgmlmqOgaVVgfpUKqsQBlf5OGmwVUWY3iUGvSDBRra+Gk2ZiWD8zQQ+jrmfdu5qD+kxoJ0i3NMdhEkyIugkX754iplUAv0iwpS5D4ZTmMFz3vTSHyEyU1IIcIOcymlZVj4FmpV0kIuztCjtz6JiJLpgWUYgPq6tmooyuofY0B0/jinDzmfBhJuTV2QESTNiZiW5cf7EKxuT4yaFqrwWulJCiMmbCIMBsKnB0S3NMXnfWTDAMkDhe5uOoWM0ByG3I3dIc4ZoJgA8Wy2jsxkGf5kjZvymmmWoOKtpWPDa8TKuENIfztyboxujUIkgU7lCf5vAdC3SrFkmU1UFmYtDzCyYWBj2tINIHam8OPTNBrY5zyJoJN9U6hUwRyxPV0kAOmmwCzM4wE0XSHOJEVcHvdWm4VYsAkwYTShVLswJMcaxRW5DbHTA5xoA7r1QzYWQmHH0mXE2rxOMQUR0zwb8uayZcBJiTYH2bMDFiIJUkqnGeCTHNUTO0mgnhIqYJvIWS4g2lKw3tymQiYtphYim7yReg9uYwMRMAf27lao6e8j7gl+bYGo6k66loJrYpM0EqGzrCTInnTed6qoPLRFUEHP1OUYsAk0x4PqvpMuErwBwpPhOOAkxHzcQlSTNhP9Y0SSC+ytlpmwWYNTITupSQQwdjgBdgArJuQgwsfFgJIAowa4eLADNENDaloUC71uiJQlzRa+20N8ptPw4wzITBtIr7NyAPNNreHDZmQnigqde+muagmgkywXSEmdKxdy6o+n5vqwDTpwKhTPiWhu6MMknfoQtwQ0pDAcJMkFW2boEmToI+plWARoBZUdDuYl3uWxoKyOnRIovPvtSbI2omKodIMWmDiYDyTR0Fut1A7XmZmHZKc5TbMRQY56cpKyCCXiMbM6FbrdgmeHFQpi2FadUKZW66bFqVo5AAswbNBOf30IQAs6mGfr4OmPR6uvTmAHbTHC7MhCbNYRpTacWUT9PF3KJaRN0+EzIzYS8NpZVqGxrtnm9AKv3uyExUD5c0R8iqYr+mOSTKW1PNIaU5SgomAPWhE0GDAGsw4dAdkd2PsF3aH2RxQOjKfWRalaOIz0Q1aQ4HzUQjAsxmggltNYcmzUHvUffSUD6YoAH1JU1pqLGFdyKPnWrKSH8NuSqt2tMcnqZVNM2xrqkq9A8momaiVkiloSWmOcQbXmta1ZHJRITNZyLLMhJMlOejRh86EQozwQwqok4itNFXTwomSBfAfs9YM65aS3fjcdVVPLlADKQrSXM4lIZuSpqJ8o7ByEy0rZpDk+ag96gzM0E1E7v3SC9NtG3IXSdGel69TKtYAWZz1Rym8YTzmQDkayKasPky5LKdttdXAcRgwhvyqounl0IGApr3m/zdcc2EhZlY25ZFiWUJMAH1oRNRGjPhIcCkaY5BP5WEolRfQCeYG4GZqFyA6dDoa0uqOtAHpN77Nggwm9LHuKU5Jq8rzIROM8GVhmrOq64/h2uag3Yo9ams402r6k1zyG68+ns+Py4zMyFsy/N3SALMqJmoHvo0x+QzpaY5HNr9thmSZoKZWK4SYWSpaQ7DREAHJ24AkRwwC3QNzUEH4pl+qjVBA5rLoxeF+JtGGW9ZrcNO7aWh7RRgNl0aqktzuGomaJCxPcyUBmo5dG3Id5zTHJO/qWmVrbKOreao3QFT9JngPzPdmzSco+OaVjPhW81R8J6LwYQndANlVQJMWTPRvctlU/ZT98syrLRzmNIcajUHl+ZI2b9FWLuGGu6FQT+V2BNFgNnBFuSAOhj7sBPbFfuqKH1wSMA2IjR5FGCa72FX0ypaFi0HE3wbcnlM1R6CvBAjpaG2hR3rM1FhC3IOkmZCs2/xOBUB5nY56faiv7sbo1OLQAU7+UBZXWnojcZMlKeZMAsw5ffC0xzma2Kzx5U0E7bS0I5cfzpA+5SHSh4GVdhpK/S7fGy06qcuAWZTPhNOdtqGY3HVTKh6ISGY0KU5HIMCtZpDfxwUXenNIWp31DSHoJkoqTQ0BDGY8ITuQtZSzdGRnLmIaTKAjsggemWz/L4cOUyaCf/SULdB07Yfun0xd6zaabsp59sGJZjwYCaqt9M2ayZoMKG77mH7dmcmavOZ0FZzuB2Lq8/EdfKci/eI6AS7ujnc69rsukAT2aadYSYFiLbzyAkwq+saqnldOEbdMy6OEyafiWLVHJGZqBVz03IwkRsRFU5z7FMBJp1YtslK8MpGdZoJvzSHem7FQSU4zWEp9RLZk/1jpy2fd680R8W9aGyaCXqsg15DAsyGTavEYMBV/Ch/352ZoGPqBsf2BvpM2MZirlqndp8JF2ZCCGop47pemgNmZCZqxTy58fOHpCgzMaUrDe26AJOs7Ohgfa1SAaaBmaDBBBlApnqJ5Guv95mwpDkM78/0e0SASUtDqXK+G9e/CDPhYtVcBN7BRG0CzKZKQ3WvO6Y5NO/Ra6cEE8KO50jQv+Y5plJW1yfl3A4BpkuaY3JMip32Dp/miMxEyzE/Lef094IJR7GQDhIzoeka2kUBJn0wqW6i0jRHAQEmnURCS0OtzITGtwTYH3baQIE0RxXVHFQzMawzzSGLt0cabRT9bJVwKVcMEmCS7a5u6dMclJlY59heD58Jn8o6XoDZnM+E7p6XBJi0mkMjwPTXTMRgolaozMT4ISluWiUrknPsJwEmoHpNXKVpjhLaj+cwmlZZ0hxUaKtboRbVTOjs2YEOm1YVYiaqdsA0p90qTXOQQEZceTfmM+FZGkqhF2ASzYQpzUGZCc/UsRJMeIyZrGlVC30mZGbCkOYoyQEzBN0YnVqEWtIcOmaiIytTEXRioSs/ykzQ5ldFYDStsgUTJPoPNq2yVHPIjqq0mqOjplVKANniNEetzIQ+xdJUaaju/hTHMNOhuJaGUit58fmiQf8kzcEfj7IvEkxIAkyrZqINaY7J/nT3vJGZKMmJuWgatbxlYAdx/vx5XLhwQXptc3MTqWEFqAgw2TRHNQLMrrSgFmHzHBCZifnpXqmrUVNpqJWZoGmOUDttw70w0+8ZBZgqM9GRYKK0NEcLBJgVaSaA3QBiKj+OhjQTLl1DAzQTRQSY7JjqWBo61kzw73Go1QFTl+ZwaEEuHqfJZ6LJ0tAbOpg4ffo0Tp06pbx+5MgR7Xe0zITHDcxh3zpgejATZeolALMDpsJM9MzBRHCaw6KZEGn07V33vvw7aqOvbgSTajDh3p+jaQEm1fRUZVo13jfvoAu0oTTUNc3h9lxc3wxIc2RuC7QpwkwUN61qUIDpwEwo9gRlOWAWfN5u6GDi5MmTOH78uPTaiRMnjMyEVoBZNM3hYlrVEZpbhF2AOXkQyg4mijhgliXAtHUBpKuMzZ0h5nbvsf1gpw2oq/0sy/D7Xz2Dr525hH/yqtvwE889DGAsSBTn9iZMq6plJvQeF9RyvDsOmLpqDvm3UgGm+Dy5MRPaQyimmWhBmkM8vy6aCVOjr2IOmJGZCMby8jKWl5el1waDwZ5pCgcnAWZJdtpZlnVegGnTTIhpjgMlii8Bz9JQW5oj0AHTp5oDGE9mc7vuwlQc2F1mQv4dX/ib83jfn/wXAMAj3zyLsx98E2amerWIEG2mVdSts1wHTINmomU+E+4OmI7MRFEBpjHNMfl7x7c0lNHENJnmcNFM9Hsp+mmyd8+sl5TmiKWhNUOf5ijTAVN1gKOf6QqoKQydWCpNc2g0E2miNv+xBRP6NIelNNSomUiV7Ypiqu6aVpFggkzQ/9cPruz9fWVjB//1wnUA9fhqWAWYdaY5NELr8WcbLg11TXNUqZnIxInRTUy9TXqrdEOA6aeZAOSxTWr0VYAhj6WhNYNG0WWlOThDm6YGmDKhloZOBussyyRmosz244A+zcFdH1tpKOeUlyT2a23tzUENaIRVhmqn3ZVgwuyAuUbMufJnqA6NSKsEmCZmoqZrrZtAxP2X4TOhVnP4loZqD4HxmShmWlVdaSj/uuwzwX+I3oeiHkzb6Cs6YLYb8wOZii+rmkO8kLmhTVdNi0SoAszJb1rfGUn2yeULMN1Fk/RBcqnmcMnpm30mekyag3ezA7oTTOqa4eVYI6vUvG8DDZ4qMa2yCTBpaWhNAszWdQ0t6jNBzpvRAbNgNQe1KfdhiVkBZkXPmT6lNPlbb6ctH5PoNaFr9FV3aWg3RqcWYaafQrwneNMq/+1yg1xXaW4RimZCmFgUw6oSO4YCegdMJ2bCIc3hsoIxdWXspYkxzUFLQ7vCTNCBjwYT6xpmQm25Xv7vpUFjawSYbS4NDWAm6MQUpJkIsNPeGY2KCzBLvOYiXHwmXBwwAcJMaHwm/DUTkZmoFUmSSLqJKtIcwPihaErhXSZMPhNVWmkD+jQHt8JXS0PtplUu10N3L+SDAy1f3ZQ0E928/jYBpjbNoQRP+yzN4SXAbJNmQv99PTMhv75q6Bpa1LtH/A2jTGaXrJqJFjhgivekbt8mzYS20VfUTLQfYnkol+8tmubIt7cfmAmTZuJqhU2+AH2ag3teQ6o5XCY73QOdH5vKTEzOSWdNq3zTHLvsHq1eqeL3pmkiMYtWB8yaBJhUbF1X4Y5TaahRgOkmTKYBpDGY2NNM2I9zfAx6kXeQZqLmNIcswHTTTIgLpdiCvMOQmYnye3MA44mkqzlzEabSUDXNUZNmgmUZzGmNstMcE2aC1ozrqzn2S2koTXOs5mmOGpgJgC/DztEaAWZNz7opDbf3d4DPBN0urbaX7aFJ4OHJ9tL3fIIJ7vrWneYQX9fp4hRmQtNtuFhpaExz1A4xx+dbE60DR4HuCwGmwbRKSXPUVc3BDI42ZoJ70EpJc0zp0xx1CBKrgFoaKgcPappjfB/UxcSZggnaiK42AWZTPhPaNIf9M4B7NQeFmEZMkkRiJ4o0+gJIMBFQGlpFSTJQtDRUfl0c29ZLquaIaY4GYNVMhKQ5FHHWaH+kOQyeA5WnOXSaCSYos5WG5oJJEU5pDs29kG/f1WeilyaKN0ZboYpu5ftYTXPkzEQ9pbDiql8VYOrp+DL3O95386WhxU2r+Pds146eV2mBVqCaA5BThfauoer7lTETTmkOVwGmwEzo7LQjM9F+cJqJ0pmJYbZPBJjyMUvMxAYVYNbjgMmdR1tvDkD9LS4rGN01ywMdJc0hloZ2tC+LrbmbuJICxGCi+TSHwkzUJsDsqJ22o2aCQgkmGGbCtcxRDSaKaiZqZiaEY9Dd86oAk9dMRAfMjkFiJjZzzcTk/aJ22oDq5MZ9pgtQNROT30SZiQMtTnOMX5O3V0SA6ZTmEDvGdijFlaaJdLzWNMdmPnnUM6GKkzoNYBTNRF0OmE35TOiYCeH11JRicNRMUNDzyjITjmyvSZ8RZlpVs8+E8LIrMyGnOYbIsgwjRcTrGUwU1OnEYCIAVZSGKmmOIZfm6N7lUlepk4nkChFgHijdZ0InwOSCCbvgkjITZWgm6KCqbyfcrWsvnj9bNUfeBEphJir6zZzbbI5q0xw+mom6SkN1ryfWzwD6a0SrZkT00wQpORdWzYSRmdAfny0Gr1eAyb/u4jNBj0lkNLNst+NwViyYKJpa69YI1RKIN/7GztgkJQoweZgcMEUB5uxUqqz8i0JfGhrGTNDAyGUFo11p9HJmQp8SECfXLjETgBwkhdtp1yDAVEpDJ/92sUsP3S/QjkZfuqClLwUT/poJug0R3LNl10xod+NV6UHRjjSHg2aCHKfShnx7qNxD3nbaUYBZP9Q25HLuv5Q0B1MaWtVNXiWMPhNiX46SxZeAagiVg9VMOKU5aDARzkzk6Q2Tz4SjK9/bAAAgAElEQVS4cu1aiksMDO0OmPXZaY+3Kwow9WmOQS8tVfRKS5LFfas+Ex3RTBhm+eBggnPANOo2TAGNeYrjWIiqzr2TAFOnmaDMxBQdN0ZqY0jPYDwKMBsA7Rx6jZQ4hlwTOjHtjDgBZvcul8lOu8qOocCYauVWHqydNhVg9tRAhD7QTmkOXTWHxgFTZ6fdFY+JHLo0x3CUKcGF3k67CQHm5NjKprvbyExwpzhJ5K66usnVxtzorh8bTEyrGgBX7UMxZiIh/y43gHQ5FnGM0AVGJjttYOw1oQSk3o2+IjNRO2gwcXWDBhMhzIRDaWjHqG7AXAMuCjDL9pjIwekmQpmJutMcRZTZTUMXTFBWAphYLdPgubI0R08fTEjMRNXBhLEFeXMCTPqabjyzaVqKpDl8mBrTubI9oqqourrz7pTmcDStmiXjxvr2sLhmIgow64c1mKgozdG1CQUYr3DEB0Fc+YmloVUwEwBf0cE3+rILMMtMc+gFmKKddpfTHEIwMTQHEzpmoh7TKr0As8xKDrpfum+lkqUunwnmHNPXdOOZ7f53zf8Dqj00vRd8qjlcvweMf6v49SoZwDLttDlGs2hFUGQmGgDVTJTDTKgU6PnVLem1hUG51Q51QXwQ8mAiyzKZmagomOBEmHwL8gBmwqUFuS2YcDSt6lqaY1ojwKSVHIDJtKqGNIdBgNlsmqOuag6HYELHTFiuj35iVAN82p+DNgYLZSZczqN4r9K0R5ko0jXU1OgLKIeZiJqJBkBv/Kub29K/Q1ZUXGvk/3rhuvTaHUfmvLfbBogPaK6Z2NgZSQN32YZVObhgIqQFOaA+0C6rR71pVbq7jVT6jM5Ou9PMhBhMsMwEb6ddFeUsPmu1pjkMAkwa1NR1ubn7yjnNYWMmNO/b0hwAp0OrJs0ByEFjpcyEg9hVd07pOVsgC9prmzuFNRNFx5huLnVLwvnz53HhwgXptc3NTaSWaFYRYBK/hLIaff2/QjCRJMCPdDWYYCjvK+tyAFZnmoN7aG49OCv9+7ZDs8pnlDRHEWZCEHgO+il2dlfncjVHh0tDpWBi8pu4NMf69liJrnZJbViAWXmag2cm+ml91umsZsI1zWG5Pq5iQkBdoCnBRGiaw2EslpmJptMcbszE0flp6d/nV7ews1yUmYjBRDBOnz6NU6dOKa8fOXLE+D1FM0GYibLSHCIz8ZyDs6X7MNQFSTOx26fhMg0mKhNgcsGEOmDcd8cR/NzLb8W//845/ON7b8XzlheUzyh22iV0DQXG7ElO9esFmN0iEbXMBJPmyF+vrzdHuwWYdbJQbJojsX8GKKCZcGEmPFLHpkDDZXU+kJiJJtIc/pqJ5QUSTFzfUktDfYOJgmPMDR1MnDx5EsePH5deO3HihAMzYdFMhDT6UkpDRxIz8byj897bbAs4zcRlpS9HfZoJvjQ0xSdPvNS4rSpKQ8d/9wCMgyvRAbPTplUeaQ5gnOpQfVWqYibENIccwIily9UzE5puj00HE4pmgv+uVTMRWBoK+DETpmfDl5moNs3Bv14OM7FZWDOR7opRyWPojBs6mFheXsby8rL02mAwQJaZz2YdpaHnV7dw4fpEgPm85e4GE1w1B2UmDsxUcyu6pjlc4NKWnEJvWpWyf+8b0ypNBQ9t8pXjOsNMVFXRYBJgipUnlTMTmkZftTITRdIcVTITmzR1rN+P6T2XcykyjpUKMB06tGpLQy3MxAWGmQirKkyl59UH3eJOWwJVgFlCMEFuom+fW5X+fWeHmYlpZpWqpDmqYiYYn4nQlZ/qM1EgzSFsa0azipeYiX2e5hgHE/U4vjbmM2ESYDaU5uD71DgKMEN9JpjZ38ZMmNJ8RTUTx5Zm9v6+aXFg/XwoXNIcunNK78VBv4dFobrv/PWtUnyJijCg3RqhWgJVgFlCmoPcaN95Wg4mupzmcGEmqktzlMdMhJhW2UpD6d/adsIdTnOMsokhlU+aQ0eTF4VRgFlrmkMTTNRYBuzETNShmbC6ChsEmCbNhMOz/i9efyeWZvo4NDuFX3vdndbPh8JJM6E1rVJfF9mJ86vlMBNF0jw3dJojFIpmohRmQr6I3z53Tfp3l5kJSTNRMzNBneKAsIcMUAfBMrqGAnLAozOt6lpfFioW3twZod9L2WoOAFjdZASYNZhW0X3WmubQtCBvXoApv6ZrQW6beLzstK2lofr9mAJtl2f9p1+4gov/8meQAEo30zKhreYQfpw+AFMXRcvz0/juM2sAdjUTJfR3icxEzVA1E6SaowQHzB9c3tj7u8tloQDxmdhjJuoSYDLMROADE2Ja5TI4iKkYcTJrarVaBuiEkf8ufZqDEWBWxkzofSaaEmC2qpqjcs2E3bTKh+0tmubIP1dlIGE6FvG3cb8zTfjvLi9MUjJsmqOEqkIfdGuEagmmeqn0IKkCzJBt6i9il8tCAd4N8fJGPQJMVjMRyExQEZSTnbZmXzO6NIdUzdFhASYNJnZsaQ5VM1GHnba4z9FItrCPAkz+3zmq6s0BlJfmaNNz49KbI6+oEKG7D5eFio6La9uKcDKMmQi/52MwEQgx1VFKmsPwYHZZLwHIk3DueimmOWb6KesHUQZYO+1AZqKONIfOZ6LLpaHA5Hfp0hzXt4bYJmWaVf3m+cHkfG8NR3tBGx2MbwQBpkuaQ18aamEmfBwwC2gminQNrRMuplWAOqHrGDJaHvr0tU2n/ZlQJLUYg4lAiJF0FY2+RHRZLwHwZYJnhRv/QEUpDkDT6CuUmSiza6hWgMk7YHbOtKqnYSZakOZYGqhWxACU1uh1CjCb8plg7bQd0xy2oMfVgAlwYCZCfSZqchJ1gUuaA3Cz9gfU8tCzNJgIuH1jmqMBiLoJnyhaB9MD0WWPCUAtDb22sYP/9MSlvdfuWlHdJstCudUcdAVRFjMhV3NkWYbL69sQ7U4WpruV5vJNc6xyPhMVTao0eL2yzgcTzTlg1ljN4WRaFSrA1Nz7AaWh+4KZYI4lSVTRJ71PdEHt8rxcxkqDiZD7KKY5GoAYTNBBqAw7bRGdT3MIN+hwlOF//845iVJ+y903VbZvTjMRnuaQB7xCplWSAHPyd5aNJ5YnLq5Jn7/9cLcEuPo0h8a0apPxmaiJmcjt8GmaozEBZo0pLVYzUVajrxZoJloVTDCHwp2jUGZCSXPEao5ugFZ0iAh1HtOh82kO8jD88V89Jf37rfdUF0yUm+YwryA4+KY5gLEIUw0m1MZjbQadiPNmX2tbO9zHlTRHolGwl4ElIvati5mgv6e1mgnXag6rANM9zTHVS6T9+qSOzS3IWxRMOAQOgKqtocLvHDSYeOrqhvTvsEKAyEzUDuo1IaLMiLDrZaGAOrH8+bef3vv7jsMzeD7TVKsssALMQBo5qJrDM80BjHUTT1xal167/VC37oGwao56KhoOkKZyuYC6agFmksgTptyCvKFqDocJrg5mIkkSiZ3wYiYK9uaoC1xAxI1FVATJpYWAatIcUTPRAGiOT0SZaY6ul4UCajBxXRDh/fSdhyrdN2+nHbatEJ8Jl0ZfVNexucMxEx0PJqw+E0PS2Ky6oYkyE7lPTNUCTEDfF6QxZoLZVVmaCZ9gApDH1FXam8PETBhOV9sFmHzTQaKZCBZg1lsaWkpx/7Vr1/B7v/d7eOSRR3DmzBn0ej3ccccduP/++/He974X09PT9o0QPPnkk/jzP/9zfOUrX8E3vvENPPXUmBq/6aab8OM//uP4uZ/7Obz2ta8t4/CDUFeao+t6CQCYNjztb7rzYKX75ht9hT0wSmlogd4cOp8JYCzCFIOJhUEPh+eqq3ipAlrNxA6vmVjd2pHOSZWOn0qaY6OeNAcwvh/yIV+f5qhvjceZoSmaiVDTKo/SUEDWTaxueThgdliAyWsm5B+rO1/z0z0M+unefauWhvofY5HnrnAw8f3vfx9vfvObcebMGQDA3NwcNjc38dhjj+Gxxx7DH/3RH+GRRx7BoUPuK9Af/vCHuOeee6TunXNzc8iyDGfOnMGZM2fwx3/8x3jwwQfxu7/7u+j16l+5G4OJEGZCc+W7rpcA9A/DwZkeXv6sxUr3zVVzlNboy4WZ8HTABHaZCSHNcfuhOSQtWmG5gF7zLWtp6FCatGpNc2zwaY7KmYk2OGCyplX034HVHFrNBD92iswEbdwcWrHRKs0Em+awv6a7D5MkwfL8NH54ZayVUB0wO1TNMRwO8c53vhNnzpzBsWPH8PnPfx5nz57F008/jU9+8pNYXFzEN77xDbznPe/x3m6WZbjvvvvwsY99DI8//jjOnj2Lp556Co8++ije/OY3AwA+9alP4eGHHy7yE4Jh1kz4b08XEXa9LBTQPwxv+JGDlT/svGYibJ93EO2Ki5bFqdEXOT8b20OJmehaigMwpDkMjb5E06o2pDmqYiZytMFngjvN7g6YgcyE5tpyfXT2jiHUZ6JNwYQjM0F/j+k+pKkO2/5saEwz8Yd/+If45je/CWA8sb/uda8bbzRN8Y53vAMf/ehHAQBf+MIX8Jd/+ZfO2z148CC+/OUv45FHHsEDDzyAm2++eW+7L3zhC/HpT38aP/VTPwUA+P3f/31sbGyYNlcJyk5z6C78vkhzaAaPqvUSgKaaI/CBeeFNi/jgm56PF64s4FfvuwP3PseeotE9nOKAQd0/z17b3KPeAeD2Q92q5AD4Rl+A2QGzrmZX1Lr9io6ZMCXjAyGmFVpbzeGc5ihZM2FwwTUyE6bS0BYxes6aCUdmAlBFmPK2PQ5uF42Vhn76058GALzmNa/BK17xCuX9+++/H7fffjsA4DOf+Yzzdg8cOICXvvSl2veTJMGDDz4IAFhdXcXjjz/ucdTloOw0B1V659gPaQ5OQNRPE7zuRw5Uvm/WZ6LAYP0//PQL8O1ffx1++613O6UeuGs66KfSdyl78vh5uf18J5kJbwfMIbZH9QgwZ6d6bBmiykyUnz51EmA27TOhMBP8d8us5gDCRe2d0Uw4pzlIaagpmDAxEzW3IA/+5traGr72ta8BAN74xjeyn0mSBG94wxsAAH/xF38RuisWMzMze38Ph/wAVSXKruYAVNpwP5SFAjyt+do7jijmQVWgTAfMEHB5Sxo80MH1O+fkYOK2TjITajCRZZneAXNzR265XuGEmiSJdO9d2U1zbNFgonLNRAsafTmslkNbkJfKTAR3DdW+VTvcBZjlpDlCOg03kuZ4/PHHMdp9AO666y7t5+6++24AwNNPP42LFy+G7k7BV77yFQDA9PQ07rzzztK26wqjZiKQWqMrkv1QFgrwzMRbK3S9FMHlYWvNSTO7ooMDTXPQYKKTzAQTTGwNR4qwLsf1rWGtVP+BWaFRX85M1JHm0Akwh81UcySJ2qXS2QHTco10wUbZzEQvTaAbctvU04YvA7U79AanOWpmJoKXhmfPnt37+5ZbbtF+Tnzv7NmzOHz4cOgu9/DEE0/gD/7gDwAAb3/727G0tGT9zr333uu07e9+97u49dZbce7cOePndtava9+7evUKLF9nQR+l25amrMfRBayvXlNee9WxPs6fP1/5vq9tqI6L69dXazuvl5n9TyWQ9r++elV6/9tn5X/PD6/j3LmtQsdRx7kWce2qXKZ28co1nHnyac2nx8HG6vrkNybZqNJrNCcM2BdX13Hu3Dmcv3hF+sz1q1dw7hxfymqC6Vwn2WR765tbe79RYim2Nmt97ntJgpEQ5W2T/V+8vs19DZvra8bj3FhfY1+/duUSziXryuvJDr8fALh29QrOnVMnx/xc95ME20ykOv5eOwKKy5fU35wNh8o5zIbymDHa3tCe5+nRJvs6AFy5fAnnZvzGjZ2tcP1h8Fm+dm0yQczO6mlY8T3xO6FYX1/Hz/7sz2JtbQ2HDx/GBz/4wcLbDMHctEl5HLZNGpE+99CM5pPdAl3hveDoLG4/WM9v41ZBOtq2CnB9A+j5GJDrfmFtMpjMTaU4PFt9OqhsUDZqczjS9uXIIboeVukzAQCLQhvyq7sGSbQFehWloZwDZpZlUjBRd57fVgqqOw32rqH8+9Oa10OrOUz7apUAk9VMqJ+jY4aJLTg6V7ITc5M+E3ViZ2cH7373u/HYY49hamoKn/jEJ4ysiIhHH33U6XP33nsvsizDysqK8XPPumK4wIcPY2XliNP+REz3ewAmA+qLn3PUehxdwMoz8orh+IufJf2uKn9jxqxWDh9cqu28LjC9KOYH09L+b97Q5z2fe2QeN91UXkqort89syGvMvuDGcwfkKt3emkilURe3ZpM5jPkHJWNo4vfAzBe3FzfGT/v07PyYufmlaNYWQn3QeGOf2Z6CsB4hZr0+lhZWZHOAQAszs/W+tz30hTARMuyMCfvf3qdZwxsz9HBRX7x+KxjK1heUOn5owee0W7ryOFDWFk5qn2/3/s+wBiiHTl8sDVj6GpPZbO5+3xu9nvSvw8tLmh/w52rPQD/lX1v5egR7/t3cSGcEQsOvRcXJwe5vq7SN9x74nd8MRwO8Z73vAd/9md/hn6/j0984hN74s4mUIUAk0bXdx7pfiUHANz7nEN7q7zpXop/+GPPrm3fSZIogsd66/j5ag7Tv0V0sSwU4DUTtJLj6LwcRF0VmYmKKxqWBOOqPdOqun0mdnUSNJioezVta+ylb/QV6DMRpJkw7kp7v7SfmXAoDTVod7igbLI/j4PbRRFmIvhpOXbs2N7fTz75pPZz4nvid3yQBxJ/8id/gl6vh9OnT+Pv//2/H7StslB2aSig0ln7wbAKAI7MT+OL/+SVeN9P3o7P//zLcc+xal0vKajAselqDlWAaQgmOii+BFT3w82dkVLJQYMJkURycRctAtFrYnNnhM2dIdObox4B5g5Jr9Tt2mhr7KUvDa2vmsMmpNTtq84yWxtCfSbqNK1qRID5ghe8AGmaYjQa4dvf/jbe9KY3sZ/71re+BWDcUyNEfDkcDvHud79bCiTe8Y53hB52aSjbtAqQb6L9Uhaa49U/cgSv/hH/1E8ZmJ1KcVkgz+pcrXDPsxJMGJmJbt4DaZpgqpfsNe/a3BkphlXL84aytoonVNUFc4fpGlqxz8QuI6HYINc8AdocL0O7hure12lRirC9umCjVcyEswOmu8/EwZkpJV042XaInXYDzMTc3Bxe+cpXAgC++MUvsp/Jsgxf+tKXAACvf/3rvffBBRL3339/6CGXirLttAH5xtovZaFtAPWaqHOw5krv6PGYrvPth7uZ5gDkoIlLc5hWVdWnOVQXzFqYCcYBs4yeCkVgS2voJmQ7W6C+P91LtWZvoT4TgP6Z7qZplTszkaaJwvDt7S/gNipy7xW6ax944AEAwJe//GV8/etfV97/3Oc+hyeeeAIA8K53vctr22Ig0e/38fGPf7w1gQRgZiZCL8iLbp6UuL6moVX8fgRNI9S9WrF1ATQyEx1NcwCy6ROX5jDVyFfpgAlwzb62G+vNIXpM0M/UgaqYCe53mM5pIc2ErpqjTcGEg9vl+DV3nwlATRea9mdDY3baDzzwwF53zwcffHCv/8ZoNMLnPvc5/NIv/RKAsUPmfffdJ3334YcfxtLSEpaWlvY6juYYDoc4efLkXiDxiU98ohWpDRFcz4ccoTfwR//ePfjHL78V73nFc/Dht+iNwCL8QK9ViDNcEdDd3QgCTEBmXLaGTJrD5N7XgjRH5V1DhzpmoulgQn4/SXhTqBDNhDGYKDCmdqI01Fkz4T4+APp0YVCaowAzUag0tN/v47Of/Sze8pa34MyZM3jb296Gubk5jEajveZbL3nJS/Dxj3/ca7tf+9rX8G//7b8FML6R3//+9+P973+/9vMf+tCHag82eum4SmCDKUcKDe6OLc3gD07oe5JEhIGu/JserF2DifnpHo4YdAVthzXNYfhtVTMT1MqdpjnSpJqgs40CTJe0Ri9JsEPKrK3VHGUyE9Y0B7/dVgkwXdMcHg6YgD4oD/npRc5XYZ+J2267DV/96lfxu7/7u/jTP/1TnDlzBlNTU7jrrrtw//33473vfS+mp/0GxJHwcG1vb1vd4JroGgqMB3s2mGgRtRahahSaSXNMJlI6oCZJgkE/VWj22w/POTUTayuUYEJhJkxpjmp/94FZNc2xJaQbqkhxAO0UYNqqOfLX6HHaAj7ufTMzEW7A1A1mQn2NFWB6aCYAfbqwk6ZVi4uLeOihh/DQQw85f+cDH/gAPvCBD7DvvfrVr8bVq1fZ99qE+UEfz6yphi4xmGgXqLNe7Wp5iwATABtMdLHBlwgpmGhbmmOgpjk2dybHV0WKA+AFmK3zmXCk4+vVTIRVjrRpLHZu9FUSMxFWzdGQAPNGh06E2aZoOEL1mWh6sOYGVE6E2dWy0BxtTnNQZoKmORplJuqu5rCYVules2ommAne1Im1UDWHrjS0TcGEQ7t3gGlBHqiZCHmEGhNg3ujQBhMtuoEjmtdMuAiqaMADdLssFCiW5miCmRAFmJUxEy4CzNqZM3l/3LnnLketmonANEfdz7oJVbQgB/TPUcg81EgL8gh9JB2DiXaBVnM03UiJGxy4FVuXy0IBWho6VBp9HZqd0raOrt9nYrsBZmJXgNl4aSj9t2uaw99nIriaYx80+uKqYrhzRO/94NLQmluQx2CiAHTGVW26gSPax0xwKQ3OUns/pzn6aYLpfooFzTNUtZ32zFRPGqTHzEQdAszJdkcZMBpljZeG0vuzKc2EsWvoPtBMAAwLxBy3d2morpqjSz4TNzpimqMbUDQTLSsN1b22n9McOVuke4bqoPpFduLqZl0CTPl3DbOs+dLQijQT3MRkcnvt99LgoKALmgnA7Vz7mlZxmok0QVAlWGMOmDc6YjDRDTTNTNDxkRdgyvfS3HRPS192BeLEQZmJPD+ue4aqZiYAOZi40kBpKDDWSzQuwCT3pzMzETDB286rNnVseWS7kOYA1PPIBc0LA/kc0JQcBedFE95sMjITjSCmObqBpjUT1FBn0FMHTBrw3H5ottMeE4BaGioyE3N7zIQmzVEDMyF2Dr1KqjlsCvpQKMHEMFNKQ9vW6Ev3WpADpuU7OhGmlZnQnLM2mVYBbmLXt959DId2q41e8yOHrSXiU7107/Om7bqgMQfMGx36G7/mA4kw4sW3THqezE/3avdvoAMIp4+gK7auiy8BuVFWlo2NoXLk+XFtmqOGgG9J6M9xdWNHSjfYJr1QqMzESGEmmi5ddk9z+E/wwcyETTPRga6hgNu5fu6ROXzz1+7D35xfxatuO+y0qFhemMal9cnz1QQzEYOJAohpjm7g77xwBf/q77wA/+mJS/jF/+a5mDN0fK0CLtUcVNfRdfEloObHL6/v7P2dB+KU0s1Rtc8EIJeHXtnYlvZZHTMhb3dnlOHqxo70mkmIWAUUO+0qmQlbMBHo3aNNc7RsLKZztY45uXlpBjcvzThvd3l+Gn9z/rqwn7DfXSSIj8FEAUTTqm6glyZ46Kee39j+nXwmFGai2+JLQP2d4sqpFWmOWTnNsSAEF5VpJnqUmcjw1FW5HcAtB9wnkTJAj4mLEbjLYdNM+NppA+HMRBdakAOMZqKk46NeE8Fpjlga2gy0momW3cARzUKp5nAYZPdDmoP+pitCmsMmwKxDhLg0mKQ5xgzB5PhqS3MMMzxJgombF+sNJpwafTXNTOyD3hwAF0yUc59RsXZMc9SM8+fP48KFC9Jrm5ubSB0vMDcQJoElORH7FyHVHPsjzSH/TrHppK00tG5mAhj7PuSoTYA5yvDU1U3ptWNLemfQKhAqwLStfoOCCW01hz8LojuGJqGmlMrZLvWaCA8mogAzCKdPn8apU6eU148cOeL0fW4gbFskHNE8aDUHZ529SOyd90Waw6EPgzbNUQszoR/+6isNHUnMxPLCdC16EREu1Dsd19IESKsIJjTBZci+XL5XN6piJqjXRNRM1IyTJ0/i+PHj0msnTpxwZia4Gz+mOCIo6IPNDahvf/ExfPQr38Xmzghvu+cmY9+KrsClD4NOgFmPadWU9r3qenOoAkyRmbjFQ3RXFkIEmC4BD18aqjetAnhmwmVMZQOgFo7FtWkmAp+fyEwEYnl5GcvLy9Jrg8EAWZZpviGDZSZaeANHNAuXao57n3MIf/3++/C9Z9bwujvdmLG2w2ydbGMm6vWZoKhTgCkyEzfXnOIAHEtDlWDCfn2CBJjMmOoy4bqwKW2Ai89ECMpiJoo8dzd0MFEU3EDYxhs4olko1Rya6P/Oo/O48+h8HYdUC1yaOrXFTpuirjTH2tYQF65v7f27CWaCHhPLTJBxzSUNVZZmwmWBxgUubfT7cdGnhKAszUSR566Fp7s7iMxEhAvoPcFpJvYjXNIcbbHTpqijBTkA/PDKuvRvH2+BsuAywdGXXJiJINOqQB0a38q7fdNbZWmO+ZJKQ2NvjmbACzAbOJCIVsOlmmM/wpjm6OeaiSbttPWaibqYie9fkoOJVmgmnNIcLsxEOT4T+0ozUVGa42hp1RyRmWgEoTd+xI0FpTfHDRNM6BmYVvhMNMJMyNv9wWViWNUGzYSTANM+znFDYRgzYd0Vy4K0cWFHb6uy7vPZqZ70LAVrJqJpVTOYZ1ZVMZiIoFCqOdqYzK0AbqWhDfpMNMFMkN/1/cvdSHOEaCaSJFFW3pVpJpjjaeNYrJ7r8rYt6iaCNRMFztmNMapVhJl+ChoARgFmBIU4gA76aetq36uCuZojb/SlS3NUPzRRbw8RdWkmfnC5+TSHIsAsqZqD+1xI11CnNAdzPK3UTChpjvKO8eW3Htz7+0ePLQZtI5aGNoQkSTA/3cPq5qS1chuj4Yhm8XfvWsGn/vMPAQBvufumho+mPphcJO1pjuqfo+l+ipl+ig2h9XiOpjQTNy12Jc3hdn7Gk6XQjTWEmQgUYLaRAFQEmCUycB952z2YneohTRKcevNdQdvopQmSBHAzR5ARg4mCmJ/uxyKEHuoAABeVSURBVGAiwogTL3sWluen8bdXN/DOl97S9OHUBpc0x0KDjb4A4MDsFDaubSqv1xVMnBX2vbwwXZmNtwkuokAlzeF4fdQ0h8W0KpSZ6Giao8yg+dkHZ/G/vOtlhbczlabYsn9MQQwmCoKurGKaI4LDG56/bP/QPoOTaVWDLciBsaX200wwUVmaw7Dduht85QhiJhzpebryrs5nopumVW08xn4vCQomWkgEdQv05m9jNBwR0QSK+EzU1aBJV9FRFzMh4pYDzVioh9lphzIT9flMtHEsrjLNURZCXTBjMFEQCjPRwhs4IqIJuAQT0700qL11WdBVdNQlwBTRHDNB/s0JMJU0h9v5oZ+zBROzJfpMtK1jKFCdz0SZCH32YjBREFSN3kbaKiKiCbjYaeciZoo6enMAbWMmmgkmqN6Am0tqYyaCg4muaibaNwWHBjjt+yUdAx0I20hbRUQ0ARfNBMCLMOt6jnTNvpoIJm5uoJIDcNVMyP921kzUlObojGaiQp+JshAqfm7hT+kWogAzIoKHS5oD4HUTdfTmAPRtyJsQYDbFTISlOQKZCZvPBMtM+O9n/L32jcX0tLWRmYhpjoZAI+k23sAREU3ANCHPCIEGG0zUxEy0Ks3RgGEVECrA9PGZmKAyzQTbNbR9Y3GVpaFlIQowG4KqmWjoQCIiWoYkSdiAYnYqRSJMYFwwUdeKTZfmqMrvwZjmaKAvBwCp7f2gn+JZDEMSrJkQPpcmZmYGANI0kQJNoEjX0PYNxl0IJmzXSIcYTBRErOaIiNCDW4lSKpvrHNo4M9FANcexhqo53nrPTfhvf+J2vPSWJZz+By9mUz9poA20uMp1ZXtC2F5uNd3GsdiFBWoaocxENK0qiBhMREToMeinoJ5QdLLgmYmagokBr5moO81xdL4Z90tg7Er5r9/xIuNnytBM2Nwvc8xN9XAR25N9B/bmaKN+rQvMRKhm4oYOJs6fP48LFy5Ir21ubiL1oFijADMiQg9uUqZ5ca7ZV11B+YHZmtMcmoG6Kb2EK8IdMCefm3YMQBRmwinNETUTZSGUFbyhg4nTp0/j1KlTyutHjhxx3oaimWjhzRER0RRc0hw0IJ/qJZKmokosaTqH1s1MNKWXcIVSGuo44SwI11ZXOUMR4irs0k+kDVBMq1pYGxoa4NzQwcTJkydx/Phx6bUTJ054MROxmiMiQg82mLCkOepcrdVeGqr5ba1nJgIdMB/8sWfjf/vOOWQZ8HMvf7bTd0KYCS64aaPnj+Iz0cKAJ6Y5ArC8vIzlZbkB02AwQJa5N2CNaY6ICD34ag6zALMuK22Ar+bopUlli4LuMhNhmol3vuxZeNHNS1jfHuLHbj3o9J0wZoJJc7RwLI5pjggtogAzIkKPoDRHrcyEOgS65vZD0FlmIlAzAQB3H1v02hdlJlwm3O6YVtE0R/uOMbQsu30Jm44haiYiIvRwS3PIz1CdeWQuzeFadRAC3W+7ue3BRGA1RwiCmAmumqOFY/F+ZiZiMFEQMc0REaEH59egVnM0x0z0UrXRWFXiS8DATDRkpe2KUAfMEIT5TKjH08aJWrEub+ExhlrZx2CiIKIAMyJCj7BqjnqHJZrqaCbNsT81EyFQmIlAB8w2LuzuuWmS8rllaQYHHStc6kTUTDQEVTPR0IFERLQQLmkOKsCse0V5YGYKT12dOGtVmubQ/Lam3C9doaQ5KrQ7D1mgdSXN8Q9/7Nl4/Px1fOvpa/gXr78TaQuPMZaGNgS1N0f7bo6IiKbATcwuPhN1ok5mgpvgmnS/dEWjzMQ+6ho6M9XDb7/17qYPw4h/+to78B8OzXl/r913cAeg1sjHUxoRkYN3wJRfazzNQZiRKjUTSaKWnba9LBQI95kIQZjPRDdKQ7uAF9+yJJmNuSLOfAUx1UvxqtsO7f37J597yPDpiIgbC0HVHHWnOWblvHWVaQ5A/X1tLwsFwh0wQ1CWA2Ybyy73M2KaowT8u3/8cvzr//MJ3H54Fj/38lubPpyIiNbArWtou5iJKtMcwHjiE3uftb0sFFC7hrZOM9ERAeZ+RgwmSsDK4gD/48+8oOnDiIhoHdxKQ5tmJupLcwAcM9GBNEeNmgl6fwSnOVqomdjPiGmOiIiIyhDSm6N2ASZpQ15VX44cNJjoAjNRq89EQJqD+0isrKsX8XRHRERUBpc0x1QvlQKIKil0DrSao3JmgsxyndBM1OmAGZDmSJJECdJimqNexGAiIiKiMvDVHKrAcUFIddQtnKPNvupmJtrufgkU683hixDTKkA9r7Gyrl7Esx0REVEZXNIcAPCTzz2897dYHVUHaH+OujUTNy+2XzNBmYi2MROAmnqJaY56EQWYERERlYFb5dOVJwD8mxMvxf/0H/8/HJ6dxi+/5rl1HNoeak9zkMnxWAcEmD95+2GkCTDKxhqXH3u2WzvxEIT4TADqeY0CzHoRg4mIiIjK4JrmODI/jYf/7l11HJKCJtMcR+amKve1KAN3HJ3Hl9/3k/ji35zH/S+5BYtM6/ayECrIpemxqJmoFzGYiIiIqAyuaY4mUXeaQ7TO7kIlR46ffO5hKR1VFW5ZmsELVxbwnXOrAIDX3nHE6XuRmWgWMZiIiIioDC7VHE3jIPGZmKn4+N7wvKP4L09dAwC85e6bKt1XF5EkCf7DL7wK/+brP8BLblnCTz1/2el7VDPRxhbk+xkxmIiIiKgMHIVPe3M0jVuWZnDPsUV88+x4gn/D845Wur/ffsvduOemRfTSBA/+2LMr3VdXcWxpBv/8Dc/z+k5kJprFDR1MnD9/HhcuXJBe29zcRBpLiiIiSgF1wJzqJYrPQtPIV8Kf+s8/xItvXsLr7qw2mOj3UrznlbdVuo8bETGYaBY3dDBx+vRpnDp1Snn9yBG3HF1ERIQZNM3RthRHjuWFAf7pa+9o+jAiCiCaVjWLGzqYOHnyJI4fPy69duLEichMRESUBCWYaJn4MmL/IGommsUNHUwsLy9jeVkW9wwGA2RZ1tARRUTsL9BggisLjYgoAzHN0SziEjwiIqIydCXNEdF9xGCiWcRgIiIiojLENEdEXYiaiWYRg4mIiIjKENMcEXVB7c0Rg4k6EYOJiIiIykBLQ2OaI6IqqF1DYzBRJ2IwERERURmoaVVMc0RUBaU3RwwmakUMJiIiIirDdF8e0Nvmfhmxf9BPY5qjScQnOyIiojJM91IcnZ/e+/ezD8w2eDQR+xm0u2gUYNaLGExERERUhiRJ8KE334WFQQ8vunkR731VtJGOqAaxNLRZ3NCmVREREdXj51/xHPz8K57T9GFE7HPQNEcUYNaLyExERERERHQekZloFjGYiIiIiIjoPKJmolnEYCIiIiIiovOIzESziMFERERERETnoZaGNnQgNyji6Y6IiIiI6DyoaRUNLiKqRTzbERERERGdx1RMczSKGExERERERHQeSpojCjBrRQwmIiIiIiI6D7U3R0MHcoMinu6IiIiIiM5D7Roap7c6Ec92RERERETnofhMRM1ErYh22gQ//OEP///27jyoqvr/4/gTEOXyQydZRB1aNNxixIwplxpLy2mhmWxAcol0xMEmCrOaIlFnGg1rTCwd/SNzt8IaE3V+DlkZIY1Li5qGY2YsbnDd2UHv5fsH33u+98p6ucKV7usxw8zxfM7neHhdPbw5n885h9raWiIiItx9KP96FosFAB8fvZa6vSnrjqOsO4591hcraqG8xmib8P//R1eNdbTJqVOn8PX1daqPiombVFVVUVdXh9VqveX7tlgsXLlyhZ49e97yE0177bs9jzk/Px+A/v3739L9grK+WWfMujN+hqCsO3Lf9lkHmroQaHL8kebKedyTs/b19cXf39+pPl6lpaV1bf4b/4UeeughAA4ePHjL9338+HFGjBjBgQMHGDJkSKfYd3ses7LumP1C58y6M36GoKw7ct/KuuP23RJdAxIRERGXqJgQERERl6iYEBEREZeomBARERGXqJjoQMHBwaSkpBAcHNxp9t2ex9yelHXH6Yx5KOuO2W9777s9KWvn6G6Om7Tn7GBxpKw7jrLuOMq64yjr24euTIiIiIhLVEyIiIiIS1RMiIiIiEs0Z0JERERcoisTIiIi4hIVEyIiIuISFRMiIiLiEhUTIiIi4hIVEyIiIuISFRMiIiLiEhUT/1VWVkZaWhojR46kT58+hIWF8eijj7JixQpqa2vdfXidwqVLl9i8eTMzZ87kwQcfpHfv3gQHBzN48GAmT57Mzp07W9yH2Wxm7ty5PPDAA/Tq1Yu77rqLJ598kg0bNlBXp7uYm5Oenk6PHj2Mr+Yo57YpLS1l2bJlPPHEE/Tr18/49x0dHU1aWhpXr15ttJ/yds6ePXuYNm0aERERhISE0KtXLyIjI0lISCA3N7fZvsraPfScCaCoqIjo6GgKCwsB8Pf3x2KxUFNTA8CwYcPYsWMHPXv2dOdh3vYCAwO5ceOG8Wc/Pz98fHyoqKgw1o0fP55Nmzbh7+/foP+hQ4d4/vnnuXz5MgABAQFUV1cb+xw3bhxbtmyhW7du7fyddD4nT57k4Ycfprq62lhXWlra6LbKuW1ycnKYMWMGZrMZgC5duhAQEOBQQOTm5hIZGenQT3m3Xl1dHXPmzGHt2rXGOj8/P7y8vKiqqjLWJSUlsXjx4gb9lbX7ePyVCYvFwgsvvEBhYSG9e/dm+/btFBcXU1JSwrp16+jevTtHjhxh5syZ7j7U296NGzeIiooiPT2dI0eOYDabOX/+PEePHuWll14C4LvvvmP27NkN+l67do24uDguX77MwIEDyc7O5ty5cxQXF/PRRx/h6+vLnj17SElJ6ehv67ZntVpJSkqiurraePFRU5Rz2+zfv5+JEydiNpsZO3Ysu3fv5uLFixQVFVFSUsJPP/3EW2+91eCKkPJ2zueff24UEhMmTOD333/HbDZTUlLCb7/9RnR0NAArV65scKVTWbuXx1+Z2LhxI6+++ipQ/4NuxIgRDu1ff/01CQkJAOzYsYPHHnusow+x08jJyWHMmDFNtr/++uvGiSIvL4+wsDCjbeHChSxZsgSTycSBAwe45557HPouXbqU9957Dx8fHw4ePMiAAQPa5XvojFatWkVKSgpxcXH079+fDz74AGj8yoRydl5lZSUjR46koKCA5557jg0bNuDt3brfw5S3c6Kjo9m7dy/9+/fn119/pUuXLg7t169fJyoqioKCAmJiYli3bp3Rpqzdy+OvTHzxxRcAjBkzpkEhARAbG2v8o/zyyy878tA6neYKCYD4+Hhj+dChQw5tGRkZAMTExDQ4CQDMmjWLgIAALBYLX331lesH+y9RUFDAwoULCQwMNIqI5ihn52VkZFBQUIDJZOLjjz9udSFh6wvKu7WKi4sBGDp0aINCAsDX19cYRrIfPgVl7W4eXUxUVlayf/9+oH4svzFeXl48/vjjQP2kIGk7Pz8/Y9lisRjLJ0+e5PTp00DTn0NAQACjRo0C9DnYS05OpqKigrS0NIKDg5vdVjm3je2XiGeeeYagoKBW91PezrMVAUePHnWYf2Vz/fp1/vjjDwCGDx9urFfW7ufRxcSJEyewWq0ADBkypMnt7rvvPgBKSkqMiT3ivL179xrLERERxnJeXp6xbMu6Mba2EydOtMPRdT7r168nOzubsWPHMmXKlBa3V87Oq6mpMa6iPfLII+Tn55OUlMTgwYMJDg4mPDycSZMmsXv37gZ9lbfzbHPT/vnnH2bMmMGpU6eMtpMnTzJt2jQKCgro168fSUlJRpuydj+PLiZsl9QA+vbt2+R29m32faT1rl69Snp6OgCjR492GK88f/68sdynT58m92FrKy0tpby8vJ2OtHM4d+4c8+fPNy69t4Zydl5RUZFxa/jZs2cZPXo0mzZt4uLFi/j7+2M2m9m1axexsbHMmTPHoa/ydt7TTz/N4sWL6dq1K5mZmQwfPpzQ0FBCQ0OJiooiNzeXhIQEfvzxR4fJrsra/Ty6mCgrKzOWTSZTk9vZt9n3kdaxWq0kJiZSXFxMt27dWLJkiUO7/X/qxm4ZbazN008Es2fP5tq1a7z77rv069evVX2Us/OuXLliLKenp+Pr68vatWs5f/48RUVF5OXlERMTA8CaNWtYtWqVsb3ybpukpCQ2b95MSEgIAFVVVcZtoTU1NZSXlzeYXKys3c+jiwnpGG+//TZZWVlA/Ql56NChbj6izi0jI4Nvv/2WyMhI404kaR/2DzmyWq0sW7aM2NhYfH19AQgLC2PNmjUMGzYMgCVLljQ61i+tU1lZyfTp04mLiyMsLIzMzEzy8/PJz88nMzOTwYMHs2XLFsaOHcuxY8fcfbhix6OLie7duxvL9g9EuZl9m30faVlqaiqffvopAIsXL3a4o8MmICDAWK6srGxyX/Zt9n08yYULF0hJScHHx4fly5c3OuO9KcrZefbff1hYmHEVwp63t7dR1F26dMmYY6G8nTdv3jy++eYbwsPDycrKYty4cQQFBREUFMS4cePIysoiPDycS5cu8eabbxr9lLX7eXQx0bt3b2P53LlzTW5n32bfR5o3f/58VqxYAcCiRYscJkzZsx/jtB/7vJmtrUePHh57IliwYAGXL19m+vTpDBw4kPLycoev69evG9va1tnG/JWz8+wza+65BIMGDTKWbXcVKG/nlJWVsX79egASExMbHXo2mUwkJiYCsG/fPi5cuAAo69uBRxcTgwYNMu4ZP378eJPb2WYKh4aGEhgY2CHH1tnNmzePTz75BKh/mExycnKT29rPvraflX0zW5v9idvT2B75vmbNGvr27dvga+nSpca2tnXz588HlHNbBAYGGhOwvby8mtzOfjjEtp3yds7ff/9tDBE1Nw/o3nvvNZYLCgoAZX078Ohiwt/fn5EjRwLw/fffN7pNXV0dP/zwA1D/XHdpWWpqKsuXLwfqC4nGHp9tb8CAAdx5551A059DRUUF+/btA/Q5tJVybhtbDn/99VeTL4qyv9Xw7rvvBpS3s+wfBma7utMY27tR4H/Dzsra/Ty6mACM+/NzcnL45ZdfGrRv27bNqH4nT57ckYfWKaWmphpDG++//36LhYTNpEmTANi6davx27e91atXU15ejo+PD3FxcbfugDuZXbt2UVpa2uSX/XsHbOs+/PBDY51ydt6LL74IwJkzZ9i6dWuDdqvVysqVK4H6q0H333+/0aa8W2/gwIHG0MbGjRsbnchqsViMoZA77rjDYehJWbuXiokpU4iIiKCuro74+Hiys7OB+hPEtm3bjMvz48eP13s5WrBgwQKjkEhLS+O1115rdd/k5GRCQ0OprKxk4sSJxiS22tpaPvvsMxYtWgTA9OnT9Ux9Fyhn540ePZoJEyYA8MYbb7B161ZjbsqZM2dISEjgyJEjQP08IfvfsJV365lMJuOFgIcPHyYuLo4///wTq9WK1Wrl2LFjxMTEcODAAQBeeeUVfHx8jP7K2r08/kVfUD8O/eyzzzq8gtxqtRqvc9YryFt2+vRp46mW3t7eLT7aOTk5ucE8iptfH9y9e3eqq6uNE7deH9yytLS0Zl/0Bcq5LSoqKoiNjeXnn38GoFu3bphMJofXj7/zzjukpqY26Ku8W6+qqoqpU6c6DFXYcqmpqTHWxcbGsnr1aodiApS1O6mY+K+ysjKWL1/Ozp07KSwsxNvbm/DwcGJjY5k1axZdu3Z19yHe1goLC516fkRKSgpz585tsN5sNrNs2TKysrI4e/Ysfn5+DBkyhClTphAfH+/US5Y8UWuKCVDObWG1Wtm0aRMZGRnk5eVRXl5OSEgIo0aN4uWXX270RYE2yrv16urq2L59O1u2bOHw4cNcuHABLy8vQkJCiIqKYurUqTz11FNN9lfW7qFiQkRERFyiEk1ERERcomJCREREXKJiQkRERFyiYkJERERcomJCREREXKJiQkRERFyiYkJERERcomJCREREXKJiQkRERFyiYkJERERcomJCREREXKJiQkRERFyiYkJERERcomJCREREXKJiQkRERFyiYkJERERcomJCREREXKJiQkRERFzyHzw7fHovKh7ZAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 270.833x288.889 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 258,
"width": 265
}
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plot.subplots()\n",
"ax.plot(X)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"autocorr = [autocorr_coef(X, i) for i in range(50)]\n",
"acf = [ACF(X, i) for i in range(50)]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 270.833x359.028 with 2 Axes>"
]
},
"metadata": {
"image/png": {
"height": 346,
"width": 293
}
},
"output_type": "display_data"
}
],
"source": [
"f, ax = plot.subplots()\n",
"p1 = ax.plot(acf, label='ACF')\n",
"p2 = ax.plot(autocorr, label='autocorr')\n",
"f.legend([p1, p2], loc='b')\n",
"ax.format(ylabel='correlation coefficient', xlabel='time',\n",
" title='Comparison of ACF vs. autocorr')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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