{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Shortest path over a surface" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nicolas Guarin-Zapata\n", "\n", "This is a notebook where I play a little with optimization of distance of paths over surfaces." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import division\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAcEAAAHOCAYAAADg7bI9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "def peaks(x,y):\n", " return 3*(1-x)**2*np.exp(-x**2 - (y+1)**2) \\\n", " - 10*(x/5 - x**3 - y**5)*np.exp(-x**2-y**2) \\\n", " - 1/3*np.exp(-(x+1)**2 - y**2)\n", " \n", "def peaks_diff(x,y):\n", " gx = -6*x*(-x + 1)**2*np.exp(-x**2 - (y + 1)**2) \\\n", " + 2*x*(-10*x**3 + 2*x - 10*y**5)*np.exp(-x**2 - y**2) \\\n", " - (-2*x - 2)*np.exp(-y**2 - (x + 1)**2)/3 \\\n", " + 3*(2*x - 2)*np.exp(-x**2 - (y + 1)**2) \\\n", " - (-30*x**2 + 2)*np.exp(-x**2 - y**2) \n", " gy = 50*y**4*np.exp(-x**2 - y**2) + 2*y*(-10*x**3 \\\n", " + 2*x - 10*y**5)*np.exp(-x**2 - y**2)\\\n", " + 2*y*np.exp(-y**2 \\\n", " - (x + 1)**2)/3 + 3*(-x + 1)**2*(-2*y - 2)*np.exp(-x**2 - (y + 1)**2)\n", " return gx, gy\n", " \n", "xt,yt = np.mgrid[-3:3:200j, -3:3:200j]\n", "zt = peaks(xt,yt)\n", "plt.figure(figsize=(8,8))\n", "plt.pcolor(xt, yt, zt, cmap='RdYlBu'); plt.colorbar();\n", "plt.axis('image');\n", "plt.contour(xt, yt, zt, colors='k');\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import scipy.optimize as opt\n", "from scipy.integrate import simps" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def len_fun(x0, x1, f, a, b):\n", " y = f(x0, x1)\n", " fa = f(a[0], a[1])\n", " fb = f(b[0], b[1])\n", " n = len(y)\n", " Dx2 = (x0[0] - a[0])**2 + (x1[0] - a[1])**2\n", " S = np.sqrt(Dx2 + (y[0] - fa)**2)\n", " Dx2 = (x0[n-1] - b[0])**2 + (x1[n-1] - b[1])**2\n", " S = S + np.sqrt(Dx2 + (y[n-1] - fb)**2)\n", " for k in xrange(1,n):\n", " Dx2 = (x0[k] - x0[k-1])**2 + (x1[k] - x1[k-1])**2\n", " S = S + np.sqrt(Dx2 + (y[k] - y[k-1])**2)\n", " \n", " return S\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plane" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n = 50\n", "a = np.array([-1,-1])\n", "b = np.array([1, 1])\n", "x = np.linspace(a[0],b[0], n)\n", "y = np.linspace(a[1],b[1], n)\n", "xn = x[1:-1]\n", "yn = y[1:-1]\n", "\n", "def plane(x,y): return x + y" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n" ] } ], "source": [ "x0 = xn\n", "y0 = np.sign(yn)*yn**2\n", "res = opt.minimize(len_fun, np.hstack([x0]), args=(y0,plane, a,b))\n", "print res.message" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAHICAYAAAB09yK3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJEmSJEmSJEmSpCj4/+FFHTg/A02VAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "plt.plot(x0,y0,'-o');\n", "plt.plot(res.x, y0, '-v');\n", "plt.axis('image');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hemisphere" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n = 50\n", "a = np.array([-1,-1])\n", "b = np.array([1, 1])\n", "x = np.linspace(a[0],b[0], n)\n", "y = np.linspace(a[1],b[1], n)\n", "xn = x[1:-1]\n", "yn = y[1:-1]\n", "\n", "def hemi(x,y): return np.sqrt(2 - x**2 - y**2)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n" ] } ], "source": [ "x0 = xn\n", "y0 = np.sign(yn)*yn**2\n", "res = opt.minimize(len_fun, np.hstack([x0]), args=(y0,hemi, a,b))\n", "print res.message" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAHICAYAAAB09yK3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nB8GH9DUnAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "plt.plot(x0,y0,'-o');\n", "plt.plot(res.x, y0, '-v');\n", "plt.axis('image');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Peaks" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n = 200\n", "a = np.array([0.5,-3])\n", "b = np.array([-0.5, 3])\n", "x = np.linspace(a[0],b[0], n)\n", "y = np.linspace(a[1],b[1], n)\n", "xn = x[1:-1]\n", "yn = y[1:-1]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original length 30.8846560479\n", "Desired error not necessarily achieved due to precision loss.\n", "Final length 8.45388286012\n" ] } ], "source": [ "x0 = xn\n", "y0 = yn\n", "print \"Original length\", len_fun(x0,y0,peaks,a,b)\n", "res = opt.minimize(len_fun, np.hstack([x0]), args=(y0,peaks, a,b))\n", "print res.message\n", "print \"Final length\", len_fun(res.x,y0,peaks,a,b)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAI9CAYAAAAO37MeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXecE2X+x9+TZBvL7rLLwtJ7XRQFEekiKgKCKIpSRD3x\n1NNT7A0QUOyiqHc/O1Y8ULEgop6icmIXKdIRZOl9YVm2JjO/P5JJJpNJNluS7C7f9+s1ZDPztJkM\nyTOfb3lAEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEARBEIQT\nlHuBtcAfwDtAQmyHIwiCIAhCTLDb62hANLfDpiG0Arbim4zMB66s6Pk4KlpREARBEITY43IV0K3n\nv6PW34pfbkw37coDSoE6gMvzuqui7cvERBAEQRBqOIpNiWX3h4FZwHagEPgC+KqijdmqaFCCIAiC\nIJyYtAVuwW3SaQLUBcZXtDFRTARBEARBCMqxo5s4lrcpVJEewA/AIc/7D4A+wNyK9CcTE0EQBEGo\n4Sj2yJlyUjM6kprR0ft+767F5iIbgKlAElAEnAP8UtH+xJQjCIIgCEJlWAW8CfwGrPbse6mijYli\nIgiCIAg1HVvMdYbHPVulifmZCIIgCIIg6IhiIgiCIAg1nEj6mEQbUUwEQRAEQag2iGIiCIIgCDWc\nGCdYq1JEMREEQRAEodogiokgCIIg1HDEx0QQBEEQBCECyMREEARBEIRqg5hyBEEQBKGmE/sEa1VG\n7TkTQRAEQRBqPKKYCIIgCEINR5xfBUEQBEEQIoAoJoIgCIJQw5EEa4IgCIIgCBFAFBNBEARBqOGI\nj4kgCIIgCEIEEMVEEARBEGo44mMiCIIgCIIQAUQxEQRBEISajr326Ay150wEQRAEQajxyMREEARB\nEIRqg5hyBEEQBKGGI86vgiAIgiAIEUAUE0EQBEGo4UiCNUEQBEEQhAggiokgCIIg1HDEx0QQBEEQ\nBCECiGIiCIIgCDUc8TERBEEQBEGIAKKYCIIgCEJNx1Z7dIbacyaCIAiCINR4ZGIiCIIgCEK1QUw5\ngiAIglDDkXBhQRAEQRCECCCKiSAIgiDUcCRcWBAEQRAEIQKIYiIIgiAINRzxMREEQRAEQYgAopgI\ngiAIQk3HXnt0htpzJoIgCIIg1HhEMREEQRCEGo74mAiCIAiCIEQAUUwEQRAEoYYjeUx8JAI/AyuB\ndcAjlR6RIAiCIAgnLJVVTIqAs4ACT1vLgH6eV0EQBEEQhHJRFaacAs9rPGAHDldBm4IgCIIghIk4\nvwa2sRLYB3yD26QjCIIgCIJQbqpCMVGBU4E04AtgIPBtFbQrCIIgCEIY1Cbn16qMyjkKfAr0wDAx\nadOqobZ12/4q7EYQBEEQqjVbgHaxHkRNpbITk0zACRwBkoBzgRnGAlu37UfNfaeS3dR+pj/6PtPv\nuSTWwwhAUaKY6ibMvqY/8i7T77200u341wn/aaOgtJgrPnuWBff/5P76MXHeOd34/OP7yz8Gv/FU\n/rpPn/kfpk8ZW+l2ANDUqmlHR61ke5pWwXrW/ZZ5T4XZTlWjRamfcKmu31PVDVv6uLbR7lOx1Z60\nZJWdmDQG3sDtZ2ID3gKWVHZQQuyJyoSkqvqI8EQEw3/4vfm5jPzoEX7Zs5mkvvHUK0lmz45c7/G2\nrRtx0/XDKj++UITbnqKUv+9gP4QVPYdg7YXzJRpq8mL1+YUzWTGfR0V/+KuqnbK6sbju1W2yIghV\nTWUnJn8A3atiIIJQ3VlzIIfhHzxETt4BWqU15NMHp/DXr/u4a8rXrNsQT5NGGs880Z/zh/aI9VAF\nQTjBsNWiqBzJ/FpNGNgvO2Z9V0dzTaj6A/ufFF47FVRFrPjvXysZvfAJ8koKOKNxBz4eNZms5Hpk\nD2tJWr0h9D+nH02a5HL+sO9Cjj1iWLQ9cEDX0H1aPXlXxRiN7ZanPfN4Qn0mVmpKsM87lJLiGZ/l\nPVUeZcLqPCOsosRCOYnl95Rw4iATk2qC/IcPn4H9T4pqfy+u/IIbv3oJl6YyumMf3hh6M0nxSd7j\n2Z2OAbBuQwqqGp6VIhoMPLNrrIdQY4j2PVVTke+p6osoJkKtoEb4kZSnfhUqJAAuTePupW8y69eP\nALiv1yU82H88NtOYMjJKadSoiL17E8nZkUzrVoVljDMC170is6GqfuDWn+DDOb/yqjXhqCnBfFIq\n648ShjKR0WoiubnHym5TqFWkp6dwaOuLsR5GrUMmJoJgwfGSIi5fPJuPNv+Mw2bnpfNu4G8nnxO0\nfJfOx9i7N5F161PKnpgItY7c3GNoFY0UEmosSnkehoSwqSaisyBUH3bnH+bMeVP4aPPP1EtI5r+j\np4eclABkd8oHYO26lGgMURAEwQ/FrkRtizSimJyAVFsTTlWbbcIxb5j6XLX/L4YveJCdxw7Rpl4j\nPr14Kp0yW5TZTJdsz8RkfUrZ51FVTiiV/Rzt4ZsqwiJSpiEIfq7GMsGuaziOsmE4yAbtVxCEKkUm\nJoLgYfGW37hs4RPklxbRt2lnPrroPjLrpIZVV5+YrNtQN5JDFARBsKQ2Ob+KKecEQlFskVFLFFvg\nVpF6Icsq/psVNpv/Vo4+/73iM0Z88BD5pUWMyz6Tr8bMJDO5nv+4rM7Ts2V39kxM1tdFxRY4FuMW\nop2Qm83uv5mvSUU3c7s2ewXHF8YWxrWsdJmy7gure8PquoSiIvd7DWHYsGG89dZbQY//4x//YObM\nmWG1NXDgQF599dWqGlpIrrrqKqZOnRqVvoTIUrv+RwlCOXGpLiYteZl/fvkCqqZyf58xvD38dhId\n8eVqR4/MKShwkJOTVHYFQYgirVq1YsmS8JJyL168mAkTJgDw+uuv079/f7/jzz//PFOmTAmrLUVR\nIuIgajWuSPVVU7DZlKhtkUZMObWciPqTRMqPJEL+I+Zj+SWFjF34BIu2/EqczcGrQ29iwkmDgtcL\n1adio0v2cXdkzoYUWrcptihTjv/QsX4KNw81HJ8Kxe4pG8JfIxy/llBdhQpJDidcWS9j/iwr64dS\nzTnRf7SFmoUoJsIJyc68g/Sfew+LtvxKRmIKX4150D0pqQS6OWftOvEzEaovr7/+Ov369ePOO+8k\nIyODNm3a8Pnnn3uP6+aXDRs2cP311/Pjjz+SkpJCRkYG4G8yyc3NZfjw4TRs2JCMjAxGjBjBrl27\nwhrH9OnTueSSSxgzZgypqamcdtpprF692nv80UcfpV27dqSmptKlSxc++sidT2j9+vX84x//CBgX\nwOHDhxk+fDipqan06tWLrVu3Vvp61RRqk2IiE5NaSsT8SSDyfiRWVMJ/xLx/xf6/OOOtO1i5fyvt\n05vw0xWzGNCia9m+EiF9LBS6dDkOeCYmVj4cIf0zHP5bGD4dms1RJVt4/iOO8McYlh9MBX1VKuL7\nEs49Egk/lDKqVnSrCn755Rc6derEoUOHuOuuu5g4caJhrG51pVOnTrz44ov07t2bY8eOcfjwYb/j\nAJqmMXHiRLZv38727dtJSkrin//8Z9jjWLhwIZdeeim5ubmMGzeOCy+8EJfLBUC7du1YtmwZeXl5\nTJs2jcsvv5x9+/bRuXNnXnjhhYBxaZrGvHnzmD59Orm5ubRr147JkydXzQUToopMTIQTik/+/IV+\nc+9md/4hBjQ/iR+vmEX7jKZV0naXbPfEZN365CppTxAiRcuWLZk4cSKKonDFFVewZ88e9u/fH1Au\nWNI4fX9GRgYXXXQRiYmJ1K1bl/vuu4+lS5eGPY4ePXowatQo7HY7t912G0VFRfz4448AXHLJJTRq\n1AiASy+9lPbt2/Pzzz8HHZeiKIwaNYoePXpgt9sZP348K1euDHssNR2bzRa1LeLnEvEeBKGa8PyK\nxVz4wUMUlBYzocsg/nvZTOonhRcOHA7ZesjwurpBs6MLJyaaVnVbVaD/4APUqVMHgPz8/HK3U1BQ\nwHXXXUerVq1IS0vjzDPP5OjRo2FnwW3WrJn3b0VRaNasGXv27AHgzTffpFu3bqSnp5Oens6aNWs4\ndOhQyPaysrK8fyclJVXonITYI86vtYwqN99UtL1IO7mW4dhqRENh8v/e5JEf3wVger/x3N93rFuO\ntpTsg/VpMV5D2Yz6Ko0aFbN3bwI52+vQuk2JZTNaGNdG08K4flX0I6WF8XyiKGWvbaOEWv/GfMx4\nKQPqhRiP+ZAaIglbeRxlrcZeEQfZWkYwh1l9/6xZs9i0aRO//PILDRs2ZOXKlXTv3h1N08Jytt2x\nY4f3b1VV2blzJ02aNCEnJ4drr72Wr7/+mt69e6MoCt26dfNOeMSRNxBbFDKyRgtRTIRaTYmrlCsX\nPcUjP76LXbHx6tBJTOs3LmJfbLqfybp1Ys4Raj5ZWVns3LmT0tJS7z5N07wThPz8fJKSkkhLS+Pw\n4cPMmDEjoI1Q6sny5cv58MMPcTqdzJ49m8TERHr16sXx48dRFIXMzExUVeW1115jzZo1ZY5LiCn1\ngPeB9cA6oFdFG5KJSS2hyp1dK5I4Khwn11BefOVJyBWsX8OWV1LE+e8/wFtrvyY5LpFPLp3O1d2G\nhOFMGSQBWRiOlp2zCwBYsz4VTbH5bSoOVBxomi1gU7U4v03DHrCZy0RyC6fvgHPQz8903prBUTek\nY63ZeTYcp9nyOsqWcc+EvIfLcr6uIViFDgebqJ999tl06dKFRo0a0bBhw4D6t9xyC4WFhWRmZtKn\nTx+GDh0adtuKojBy5Ejmz59PRkYGc+fO5YMPPsBut5Odnc3tt99O7969adSoEWvWrKFfv35hj6us\nvoWI8AywGOgMdMU9QakQ0fjUNDX3nSh0c2JTLUw4lTXflJEnJOxjio3dxw4x9N1prD7wFw3r1OPT\ny2bQo3GH8No1j7Ecfb/wUlP+cX0HrrhiL6+/sdHvWCjzjIY9eB9h1K9qLE035jK4yl3X0tyjYz5m\nVdb8VBwyH4pV/SDlLfsKv20l5WJ5Yi8nM2bM4M8//wyZZba6oygKVr9vtvRxEJ3fVx3tsse/iVpn\n8+86C/zPLw1YAbSpivbFx6QGE7H08lVZtiJ+JOWZhFjsW3doB0PmT2VH3gHaZzTl88sepE16Y+v6\nZfiNBOvT7CeiTxqyswvdY1iXjKrFWZ6C1QQjHD8PHTWCExSbZ1IRbBKkGLKfmceseOsGTrL0SYxe\nx2ryEt63uNlXxdCXeWJgdQrmbq38UIL5poSzYKAQNjKRq1W0Bg4ArwGnAMuBSUBBRRqT/11CrWLZ\njrX0fesOduQdoHfTzvxwxSzfpCQKZHtMOevW1ZHIHEEIgWSjrVoUmxK1zQIH0B34P8/rceCeip6L\nKCY1kJibbSqjlJTXXBM0QiZw/+d//c6oBTMpdBZzYYfezL3wHurEJVa5KuJ+o7/4qwP10hUaNSph\n7954tm1LonXr4gBlIZTiEcqkEw1Tjuo5r2DmmGDmGwCbRS55XWExKyVGVSWommK4/ko4UTQB/Vv5\niZRRxYpQqopQYaZNmxbrIQhhsu/PFezfEjInzE7P9qvn/fvIxEQ40Xlvw3eMX/gkpaqTq08ZzEtD\nb8ZutzalRJrsLoXs3RvP+nXuiYkgCEKkiWSq+MYdutO4Q3fv+7VfvmEushfYAXQANgHnAGsr2p+Y\ncoQaz5xV/2XMx49Tqjq5recoXhl2C3Zb2c6kkaJzZ92cI6sMC4JwwnATMBdYhTsq5+GKNiSKSQ0i\npiacaEbchGPS8bT39C8fcttXLwHw4JlXMllPnGYcTxjtGc02XpNJEHONsYyVmaZTtlslWbM2GZfm\nCKgfOjon+DE1is8RtiCmCiXEGDRLU46/6cfa3GNt5jHWDWbmCRnlY2mnMZmC9PvSKlFbKPNRJBzP\nBaESRGNxvTJYBZxeFQ3JxESosTz8/TwmL3VLis+eez039bwoxiNyk51dBMCG9aKYCIIglBeZmNQA\napVSEo4aEiy5lYGZ389j6tI3UFCYM/w2rjplcHCFxKiGBHFotQpxDaaKQKADq66KaJqNjp2dAKxf\nl4jTFYdiGruV8hGLHCeh8o3oR0I5u5rrW6ksZoVFV1X827V5/jXlBjHUDaqmGG+9cqkoZgUuRNFQ\niBOsUE2QlPSCEEMe+G4uU5e+gU2x8eYFd7onJdWIjAwXWY1KKSiwsz0nPtbDEYSIsH37dlJSUiKS\nj2T69OlMmDChytsVagaimFRTanzytAgpJdO/m8uM7972TkrGn3x2YP0w/EdC+X3oCkkwVcRc3q+O\n57VzdjH79saxdn0dmrUqsOwzVDtWVHlitRC/JzavGuL/FWFMsIYptNhKZQmmqlj5qgSqKb4yNu8x\n3e/DU8ci7NirooRSUPQyWhAFxbhLNfmaGOvVIF+T119/nVmzZrF161ZSU1O56KKLeOSRR0hLSwur\nfqtWrZgzZw6DBg0CoEWLFhw7diwiY41mfpOrrrqK5s2b8+CDD0atz0hQDXxMqoya879KOOGZYZiU\nvDXyLv9JSTWjU2e3A+z6dQkxHokguFcBvueee5g1axZ5eXn89NNP5OTkcO655/othBcKRVGilq21\nPP04nc4IjkSIBTIxqe2EWpQsVPmQZUyL8IWz+F6o8ZjfWyzENuvnD5jumZS8PfJuxp18jn9bhs28\naJ7l4nTexfMcqJoDl98Wh8tQ1lff4SuPe3Nq8Ti1eG9dvWzHbPeX5bq1dQLqO9V476bXc2oJOLUE\nb99ONSFg09txaQkR2/Q+zH17x+UZp3usnrF7zsV3fXzX26Um4PIbu36+8b5r57mW5vrGRQT1/n3X\n2b35LSRo+ry8+w33RPBF+0IsGBjOAoHVmLy8PKZPn86//vUvBg8ejN1up2XLlrz77rts27aNt99+\nG3CbTy655BLGjBlDamoqp512GqtXrwZgwoQJbN++nREjRpCSksKTTz7Jtm3bsNlsqB5FaeDAgUyd\nOpW+ffuSkpLCBRdcwMGDBxk/fjxpaWn07NmTnJwc77gmTZpEixYtSEtLo0ePHixbtiys8/n2229p\n1qwZjz/+OI0bN2bixImUlJRwyy230LRpU5o2bcqtt95KSUkJ4FaK+vfv79eGzWZjy5YtvPTSS7zz\nzjs8/vjjpKSkMHLkSAB2797NxRdfTMOGDWnTpg3PPfdc5T4EoVyIKUeo9ryy4jPuWPIyAK+NuJ2x\nJ50V4xGVTWdPyPDG9eJjIoAyo+pkdm1a+VSLH374gaKiIkaNGuW3Pzk5mWHDhvHll1/yt7/9DYCF\nCxcyb9485s6dy+zZs7nwwgvZvHkzb731FsuWLePVV1/1mnK2bdsW0Nf8+fP54osvqF+/Pr1796Z3\n7968+OKLvPnmm1x99dXMmDGDOXPmANCzZ0+mT59OWloas2fPZvTo0eTk5BAfX/b/mX379pGbm8v2\n7dtxuVzMnDmTX375hVWrVgEwcuRIZs6cyQMPPBC0DUVRuPbaa/nxxx9p3ry5t6yqqowYMYKLLrqI\n+fPns2PHDs455xw6duzI4MHVy5/NiK0Wrd9Ue86klqAotsj4l4TsNIwnP+OTpE6oJeDLUkWM+0I8\njc5ft5RrFz8DwHPn3cgVp5wXqJDYHO5NfzI2PUEbn6oDFRL3k7ifqmIu63miN6oqqqmOT3Fw1+nQ\nyf0UuXF9PCUuj8pgUj6s6rnUeFx+6oPDT6UoS1WpyOZTI+IC+go1rqAqi4WqEqyO/7XwXN8ABSVQ\nTTErKJYqitXn71HRylZQjCqKxbFQ93414+DBg2RmZlr+cDVq1IiDBw963/fo0YNRo0Zht9u57bbb\nKCoq4qeffgqrH0VR+Nvf/kbr1q1JTU1l6NChdOjQgUGDBmG32xk9ejQrVqzwlh8/fjzp6enYbDZu\nu+02iouL2bhxY4gefNhsNmbMmEFcXByJiYm888473H///WRmZpKZmcm0adPKtWqx0XT066+/cvDg\nQaZMmYLD4aB169Zcc801zJs3L+z2hMohiolQbVn85y9c/vFjaGjMHHgV/zx9ZKyHFDbpGSpZjZzs\n2+tgR46dlq2Dh90KtZ/yqhxVSWZmJgcPHkRV1YDJyZ49e2jQoIH3fbNmzbx/K4pCs2bN2L17d9h9\nZWVlef9OTEykYcOGfu/z8/O975988knmzJnD7t27URSFvLw8v0lSKBo0aOCnrOzevZuWLVt637do\n0aJc4zaSk5PD7t27SU9P9+5zuVwMGDCgQu1FiyCL69VIasaUXzjh+GnXei5e8CBO1cWdvUdzX9+x\nsR5SuenY2e1UuHFDbNbsEQSA3r17k5CQwIIFC/z25+fn8/nnn3P22T4n8h07dnj/VlWVnTt30qRJ\nE6D8kTKhyn/33Xc88cQTvPfeexw5coTc3FzS0tLCdno1t92kSRM/09L27du9405OTqagoMB7bO/e\nvSHbatGiBa1btyY3N9e75eXlsWjRorDGJlQeUUyqCTFJolbRkOBQ5ptg+8IIBdbLbMndw4h3p1Hk\nLGHiqUN57OxrDWnmPeG+IUKAzYnRVL9QYOswYWOYrh7yG6xdq7atynTopPK/b2D92kTOPs8XsqqG\nEXZsNUar+lWC4bfAZkqopprCfa1Cb/WQYG9dLfCYqocJK4EJ1nyhwJ7wXu+KxIEqk7cvi7Bjc7ix\nuV1jfe8YFb+XIOh1jCdm0wdf7UlLS2PatGncdNNNpKamMmjQIHbt2sUNN9xA8+bN/fKFLF++nA8/\n/JARI0bw7LPPkpiYSK9evQC3GrJlyxavj4kVxolFqEnGsWPHcDgcZGZmUlJSwqOPPkpeXl6Fz3Hs\n2LHMnDmT0093Z0R/4IEHvOd1yimnsHbtWlatWkXHjh2ZPn26X92srCy2bt3qfd+zZ09SUlJ4/PHH\nuemmm4iPj2f9+vUUFRXRo0ePCo8x0ki4sCBEiEMFeQydN5mDBUc5r00Pnh82Kao5DaoSPTJn43qZ\n/wux5c477+Thhx/mjjvuIC0tjV69etGyZUuWLFlCXJxb0VMUhZEjRzJ//nwyMjKYO3cuH3zwAXa7\neyJ87733MnPmTNLT03nqqae8dYwY3yuKEvT4kCFDGDJkCB06dKBVq1YkJSXRokWLkHWD9QMwZcoU\nevToQdeuXenatSs9evRgypQpAHTo0IH777/f68Dav39/v/oTJ05k3bp1pKenM2rUKGw2G4sWLWLl\nypW0adOGBg0acO2111Zq4iSUj2h842tq7jtR6KZmU2WKSVUlUTN/KZRnET7jviCL71kdK3KVcs7b\nd/P9zrWcmtWW/135NCmJdYHgqeShbKXEKjGaOSGasT1Viyt3O/p7o5rx8w8OLjynHqd0d/LZd3kB\nZc3lrdq1Qg1D7lYtioTzQGUL8mOgqxhWaex1pcSnhvjKBCRYM5W1atureIRRxq44K9SOeXxWSeG8\n6pD51Yjns1Dizotajo9IMWPGDP78889yOY2e6CiKgtXvmy19HETn91VHu27Oz1Hr7MWrz4AInp8o\nJkK1QNM0rlr4BN/vXEuz1AZ8OvYhUhLqxHpYlaJDJ/eP3aYNdr/FawWhOlLTJ1ZC7UE05hhT7ZWS\n8rRjDg82YguioHj6fPSHecxft5SU+DosHvsITVLd3vy6UlIZf49w/EdUzfdfIZx2zAqJVZnUejYa\nZqns32djW04izVsqgePx/BiYFQ7V4uk8sEzV/JD4qySaZ1+wMnbDPv3Vfe0ULVBVsWn+Colm8iMB\ng4pi8gnRjMpLCL8Rb5kg/ieW7QTxNbHaF5b/SS2gLPOJUL2pTT4mMjERYs7iP39h8jevo6DwzkX3\ncXJWm1gPqcro0Nk9Mdm8wUbzllX3RKqqKkeO5HI0N5e8I0coOJ5PYUEBxUVFOJ2l3myciqIQFxdP\nfEICiUlJ1EmuS2paGqn16pGWnoHDIV8Bgptp06bFegiCAMjE5MQimFJSnsX4rNoJJ/ImiFKy+fAu\nxn34CBoaDwz8G8M79ilXxA0EVzhcnts7lD+Ky6OUhPIfcek+JxYqTTDlRC/TrhMs+xY2rLPT/1yX\nZ7yGCB1Nf9X8XktLS9nx11b+2ryJ7du2sTPnL/bu3Mm+3bs4uG8vRw4fIim5Lmnp6aSk1aNOcjKJ\ndeqQkJCIIy4Om00fj4qztJSSkmKKCgspyM/n2NEjHD2Sy/G8POqmpZHZMIuGjZvSqGlTmrVsRbNW\nrWnZtj0t27ajbrK/Oc2oruh/2xTN9N6oqlirKbqSAr7IH3MZO741XMzqh658GO8DG07PPn+Vxqap\nQduxK54+jHNG7wJ//u9rz/OoIFRvZGIixIxjxQVc+O50jhYf58KOfZncf3ysh1TltO/s/nXbvN4G\nFuGvAAXHj7Nm1QrW/L6ctatWsmntH+Rs3UKjps1o1a49zVu3oWWbtvQ68yyyGjelflYW6fUziTMk\nmLJydi0LTXVx5NAhDu7by/49u9mzayd7tufwxUcLyNnyJzv+2kqDRo3p2OUkOp3clZO6nUbX7qeR\nXj+zIpdCEIQIIqYcQagkmqbx90+fZt3BHLIzW/LmyLuxVfPF0CpCh06eickG35fG0SO5/Pr9Mn5Z\n9h2//fQDWzZuoF2nbE7ufhq9Bgzkyhtuom3HTiQkJgLgipBvid1up37DhtRv2JCOJ3cF/BURp9PJ\n7m1b2bj2D9avWsXr/3qGtStXkJmVRbeevTi9bz969htAC0PGTUEQhMoiE5MYUSVOr5VNolYeE06o\nkOBQ9QPMPu4+56z8nPnrlpIcl8gHl84gJbFugKMrhJc0LSC812xm0XyZV831zXWN9VymY8ZxmY9Z\nObE6VZXm7d1/b1qv8eTMB/nh6y/5c8N6up7ek9P79ueW6Q/RpdtpxCcm+V0mVdModKoBbRr7siKc\nSUuwkODAYzYatW5Ho9btOGuEewE4l8vFlvXrWPnLT3z75X+ZNX0qderWpc+gcxhwzmB6DRhIUlJS\nQHv6w5zDY2LSTTwQ3IRjvN7mY1aOrd6yIRK1ecOLPZfJhSeHRxgJ3yxDij3v09NTxXH0BCQ9PSXW\nQ/AiiokgVIJ1B3K46Yv/A+D5YZPomNmijBo1D1VV+e2HH/j84w+w2aZRXJTF/r3x3Dz5fk45ow/x\nCQnuckFLRTzkAAAgAElEQVSicqordrudDiedTIeTTmbMxL+jaRpbN6zj+yVf8dpzT3P3tVfTZ+Ag\nzr1gJAMHDyUlNTXWQ44Khw9+4P7DGE2lTxLNEVZ67LhlXhQ19HtjfSuCTUyt2glFecsHa6aK2hFO\nLGRiUhOJpMmjIkqJNz13iHBhz9NkobOUMR8+TKGzmCu6DmbCKecFDQk27jM7qVo5ogYr4zKEApvD\ng83qiLG9YMoJgFPVJxT+qsb6tX+wcP5/+PS9+aRlZHDuBRfRpXsSf/wGA4bcRbd+LlRNo8TlX8/s\n/GqcqJhVkFCTmMorJtZlfaHBgc6vLTtm07JjNpffOIncQwdZ9t/P+Hj+f5hx2yR6nzWI8y8Zw5nn\nDiYuPt6rVOkOs8Z2HDb/z8QYdmxWUXSnVWPYseZt231MVz6M56SbxcyOscYy+vW1BXGCtdpnfUX1\nsXnuG/1HWv9/YvzN1o8pNuv3lvUtfvT1z8d8H1i1EwUU7/9tmaBEGqWGrHYdDrXnTIQawZ1fvcQf\n+/+ifUZT/j1sUqyHUyUUHD/Ogrff4LJzz+T60Rdhs9l5ecFC3v/fz1x3xz10OdXtK7J1Q+3/75Ze\nP5OR4ybw3H8W8Onva+g98Gze/L9nObtrR564/z62bt4U6yEKglDNEcUkilT5Qn0hO6uiJGqh2rNS\nSoL1pdj4+q8V/Pu3j4mzOZh38VSSE5LRCJ08LagKYrh1gyVLM/uRuMtYhwAbE6yZFRKzOqLv25mz\njbkvv8DH8+bStUdPrr71TnoPGuxdW0RXRVq01zPAKhQ5XZZqSDDlxHjMN75AVaQipiArk7TddG+Y\nlRJ/xcR8zP99fN00Roy/khHjr2TnX1v46O03uPz8c2nXuQvjJl7LWUPPx263e8urmn8fuoICgUqJ\n/tnoIcLuv/2jnsLxP8EbLuwIKINHpQlQTtyF/PdVRjkxFgmmnFjtC6WchMKq7YqUEaoVNnvt8TGp\n/Y9wQrUgv6SQiYtmATB1wAS6N+4Q4xFVnHWrV3HHNVdy6dkDsNntzF/yHc/MfY8Bg4d6JyVG2nR0\nf7lv23Ti/ndr0aYdN9//IJ+tWM+F4yYw59mnGX5GN/7zyosUGpakFwRBEMWkJhEpxSWcJGrhHPNL\nSa/47bv361fZdmQvpzZqx939xqMptqBKiZVPSKikaebImvKoIfp7/5T07sdgp+dJVFdMVv++nOef\neIR1K1dw+T/+yb1PPkNistsrv8TlX8fdjvu1aVt9YmKnoEQFJVANcQVRTsx/BytTEax8TYL7mCgB\nx+1BlBKHoZBTNUXlOOI5+8LRnHPhJaz+9Wfe+vczvDjrccZddwPjJ15LckpKgIJibFuzuZ2GvcnU\njL5GhgX9IHDBPvc+z+J/nvqqJyrHq5zge1rzKW0m5QQC/U4s/FACr24Q5QQC/U5C+ZiY8VNe9HpB\nfE3KSxUpJ+JrEnlqU1TOifsIJ0SN/+Ws5l+/foTDZmfOyLuJs9es+fDWTRu5+YqxTJowhr5nnc3n\nv6/hihsnUTclvIiT1HSNjIYqRYUK+3bKfzlwp8o/pWcvnnzjPzz//kI2rV3D0NO78tq/nqGosDDW\nwxMEIYbIt6QQUUpcpfx90VMA3NdvPKc2ah/jEYXP4YMHmH77JCacP5hTevTk019XMe7v13sTn5WH\n1h3cT+o5m+W/nJl2nbN55MU5vPrhIlb+8hPDTj+FD995C5fLOlOuIAiB2GxK1LZIU7MeXWso1dbp\ntarXwTG279k3++f32XR4Jx3rN+e+ARMqvG6N2YQTyqE1VCiwfkzf59J0s4FP8i4qKeWdV17k+Scf\nZdjFl/Lhj8tJS89A1aDYa7KxNveYE6zp+5q1c7F8WRybN9g4eYDR3BPE+dWgeKtqoEMsgMvC41UN\n4QUb7AvFbrHfa7qx6a/++91/m8p6XuNsgWUcNt2R2OV57yujOyk3a9+ZR+fMZd3vv/L0tMm8+cK/\nue/RJzmtd19vff0a6Ina7Bb3pZVjrI55VWKbhblHT8imJ2Mzm3SM5xXUpGPYV6ZJBwJNJaFMKOUx\nr4Qy6cTAwVVMOkI4yMREiBi7jx3kwe/eAuCZoTcTb4+rtMk70vzx+3ImT7qRlLR6vP7JF7Tt2InS\nKsh+1tITmbN9c6BzrOBP1x49mbPov3z9yYfcfd1ETuvdl3tmPkKDrEaxHpogCFFAJiY1gcooLhVN\nk12edPNB+rjrq5fJLynkwk79OLfNGWha6FV8LcOFgygloZKmBVNOjMd0pURXOo4XFPLvxx7iw3fe\n4tYZDzN89BhcHoXErI4Y6+lzFv2YcRJjPNaobQmQTM4mO0WlBsXEpIaUetPQB1dDrFSRUEpJMKwU\nFJ9CYg4b9qghDlvAPr2sw65fU189Xeko9SgluppiXFLArKLox84aMYpeg87j5ace44J+Pbl58nRG\nT7gSm83mvbZG5cXsGGt5zgELKeoqiO9+0pvUk7EFKie+epVLwmZUDWx+Lz4nVov/h6FCioOFEBv/\njwZLvibhwzUacX4VhDL4fsca5q5ZQqIjnlmDb4z1cEKyduUKLh7Yl5wtW/jwu58ZcenYKl/3pHk7\n9w/izi2OcqedOJFJSk7m5qkP8NKCRSx463UmXnQ+u7bnxHpYgiBEEFFMagvlUVXCSTtfkXa99mON\ne5a8CsAdfcbQOr0xqhYqlbx/eK9V8jRzSLBReQmmlFiFAvvUDw1VVZnz72eZ8+xT3DHzMYaMGo2i\nKN7EaMayxlf33/4KiVUZb9ixUyOuDqRlujh60M7OvzQaNHOZyniUEgt/ElcQpcRSOalASvpQyonu\nf6LXKSn1lXU4bH7H9DpxdpuhjOZXxqmrKzbfOM0qii/Nv6+vVp2yeWXRl/znhecYfXZ/bpv2IBeN\nmwAEmsbMqe2NfijmkGLvfgtfk2DKiXtsQUKJLX1MyjETVYIoJ1ZlKpq2vjJUUWp7o9+d+JtUDaGW\nmqhpyMREqHK+2PIry3b8Qf2kVO7oc1msh2PJkdzD3H39NRw5fJh3/vstWc1bRrzPZm2dHD1oZ9dW\nh3diIoSP3W7nqptupe/Zg5l8/dX88M0SHnj6OVLT6sV6aIIgVCEyMYkgUY3GqSqCjdlqgT5TEjUU\nG5qmMeXb1wG4q+84UuJT/EzaxoXw9CfkAF+TMJKnWSVNC6aU+CsdGhvX/MGNE8Zw1pBhPPH6O8TF\nxXkTpLnLlK2YlJr8TrxlnIYyuvLiec1qVcLanxPI2Wij0xlOvzJm/xG/BGumYy6LyB0zVmpKMBu0\n8aO1B0TjmBKsGSNuSv0VEv2Y0+CH4nDZ/MqoDt0PxZCEzaSiJOhlDYqJqvlUlZYds3n982+ZPX0y\nF53Zh1mvzaVz11MMZcyJ3oy+IdYY/VJcpvJm5QSCR+xYJWHz3vPhpK03K17lTVsfDtVsoT+hahAf\nE0EIwkcbl7F8zyYa1c3gxp4Xxno4AXy9eBF/u2g4N907lbsfeoy4uLJ/tKqKJm3cP167t0avz9pK\nYlIS9zz2FDdPmc4/Rl/AR++8FeshCYJQRYhiIlQZmqYxY+mbANzX/3LqxCVWq/DgOf9+llf/9Qwv\nzl9A51O7R73/Jm3dE5M9f8nEpKoYctEltM/uwq1XjGPTmtXcPfNRHPFyfYUTD6t8RDUVmZhUV8Ix\nA5V3BeGKOL2GWjnYxJJtK1m1bwtZyelc0+0CNM0WEAKsWiVY8wh3qoVjazATTqikaWYTTqlLZdb0\nqXzzxWLeWLyExs2aB02UBoHr3uhmG90p1q+e09cH+Mw27mP++9KbuuX/PX/FcbzQic3mO6Z6xxro\n6Go271iZaaySrZWFZWK1IKYbn2OrElDWaTLlxLkMphzPMd28YzbtgM+84zPFuPcbE7XFe807qqms\nQvN2HXntsyXcd+1V/GPsJTz96pvUTTUsF+B3nuGbdVSvoOwIaEb12FX0Er6Q9cBuvfdzZVYiNlKe\n5Gs1YAViSbommJGJiVBlPP3TewDc2PMiEhzxMR6NG5fLxdRJN7Jp3VreXvwlddLSYzaW5FSV1PpO\n8g45yN3roH6T4Pk2QqFpGsePHOLo/t0cO3yA47kHOZ53hKLjeZQWF+EqKUb1pHO32e3Y4xOIS0gk\nMTmFxLppJNerT0r9LNKzmlA3PbPKQ6NjQUpaPf497wMeu/cOLh92Di+++xFNmzWN9bAEIWrUJh8T\nmZgI5VdnLJxe1x/IYfHmn0h0xHN9jwu8RYMlUTMe059MVVPYsHufyUHW9ArBlZISp4vJN13Pjpwc\nXlywiDp16wY4sppDg437zEqJ0+gg69lXXOqeAJjVEfAlS9P3OZ0qDVuWkHfIwbbNdhIzirzqR4By\n4qlbXJDP7j/XsvfPtRzYtomDO7aQuycHR3wiqZmNSU5vQHK9+iTUTSMhOZU66Y2wO+KwOdzXQnW5\ncJWWUFpUSEH+MQ7t2U3B0YPkH97PsYN7cRYXUa9xCzJbtCWzRXsate1Co7bZJHkWKNQVD11dKTF8\n+Tm8Sol7rLqa4rRQTHQVxayggE9FSYjzqA72wHBhHbODq9FNzmGzcccjs3jrX08zftg5vLJgIa3a\ntvNvoBwOsT7cJjhjOvuAVYk1C1XFc7soJufXCq1EbPwzIHmahdNqMOXEWL+qViAWhCpGJiZClTD7\n5wUAXHHKeWTWqRfz7zpVVZk66QZ2bNvGc/9ZQJ3k5NgOyENWyxL+/L0O+7fF0+mM4wHHS4sK2fbH\nr/y5/Ht2rFvO4d3baNiqI43aZtP85J50GzaWjCatSEhOsTT3lAebTaG4IJ+je7dzcMcWDmzbyI/v\nvsC+vzZQL6spzbJPo82pvWh1Si/q1E2p1HlHC0VRuHrS7aTXz+SqC4bw0nsfkX3SybEeliAI5aCy\nE5PmwJtAQ9zPAS8Bz1Z2UEIlCEeWr6qEah7yS4t5Z80SAG7uOdrft8SrhgQqHebwYPNifu56ZSdN\n0+sZfUoenXIPWzZv5vn5HxKfVCeoUmKlmBSb9pV4UsiXGtSQEpNSoh/T9/sf8yVRS29WBMCerXEU\nFTspdaoU5R9l48/fsPGHL9mx9jcatu5My1N6c+ZVd5HVtguK4kkYpvpUlcLjJRVOTe8v+caT1rg9\naY3b07bnEGw2BdXl5OD2zexav5xfP53Hwqfvo1G7k2h/xiA69TmXuhkNgEA1Rfc1cRiUpTi7rhr5\nKyYJqiFBnsPfd8arnDgC72VXgFJiXBDRd2zEuCuok1yXa0ZdwMsLPqZjF9PkpELKiQ+7xw/Fe3/r\nIqLh/sbrY6KHAvvvL1fiNSNevxHPe6NvRkX8Piq70J/4mlQLJMGaj1LgVmAlUBdYDnwJrK9ku0IN\n4oP135FfUkjvZl3o3KBVrIfDnH89ww9fL2HOoi/8zDfVgYYtigE4sD2eTT9/w4ovPyJn9U+0OPkM\nsgcMZehNDwWqIa7ojt9md5DVtgtZbbvQY+SVlBYVsmPNT2z+aQk/zP8/stpmc9LAEWT3G0xcQlJU\nx1YezrvoYmw2G9dcfAFzPlhE++wusR6SIAhhUNmJyV7PBpCPe0LSBJmYRJbKpJ8vbz2rhfoU/2Nv\nrPocgAmnDPEWMSojEBiBA4FROJZ+KN6IHeuF+tx/+xbk+/zjD3nzhX/z9udLqJNaD6eqWfqPmJWS\nYqMa4vUJ8RzzqCB+aojuY1Li8nvvp6qU+PuYlDpV4uruBVqy509YOu9lupx1AYOuvZ+4+Dru81M1\nigtL/SYmzlJ//xPNUikp/1OmzeLeUExROI44G+Cg+cn9aX5yfzS1lK2//481337CkjlP0HnA+Zw2\nbCz1GjUP8CeBQBUlIS4wsijBs1xBQMp9LXB8Zr8T//dmFcXGWSMuxOlycs0lI3l14ee0a2ftc6Io\nvntOVzL0e05/739f6n4wcZ6e3L4mmp+/hz4am7ErX3sW6kpYC/2ZFYVQidHKs9CfUKMR51drWgHd\ngJ+rsE2hmrP96D6++WsFCfY4LusyKKZj2fDHambcPokX3/uIxk2beUOCqwPHDu3n+wWv8cfXH+GI\n/wtnSQbDb/0Pdeu7FRRXac1IUe+IT6RDr8F06DWYY4f2sPrL95h7z+W0OLknvS+eSKO22bEeYgBD\nR40mPy+PGy69kLmffUWDrEaxHpIgCCGoqsyvdYH3gUm4lRPhBGHemm/Q0LiwUz/qJcbOQfJobi7/\nnDCGyY8+SfYpp8ZsHGYKjh3hqzlP8sKNI9E0laufXkCTju6n7EM7E2M8usqR1rAJ/cdP4u/PL6Zx\n+5NZ8PBNvP/wTezbtinWQwtg9FUTGX7ZOP4x5mIKjgc6HQtCTcdmU6K2RZqqUEzigAXA28BHVgUm\n/vNFmjerD8DAftkM7Ff9nqpOSKpgLZ9PNv0IwMXZZ1mbYCycXr1lTMcsHWS9xzzhrxYmoVKXi7tu\nvJ6B5w1l2MWjA5xXjcnTzE6wxSbTDgQ34RRbOLb6jvmbbVSXi58/mcey+c/TrudZXPX0AhJTMwGo\n17iQ7X+ksG9rHI06uE0AZnONy+nry5tgzZR8zWj6sDLvBEMxfbH4rX+jm3I8ob+lJZ5Vhh12z3Hf\nuNxmHnA44jn53LGcdM5oVn/5Hm9Pnki708+i79gbSavvdpQ1m2t0kw74EsfFx/mX0VekNqLaA801\nhqN++2yK/zW5+ta72J2zjbuun8izb7zjZ8qyKRX7KrR7woW9CdYMppdgydcCwofdhfz2eQ/5Obaa\nHH+DhQ9D5ZxgIfg6OuIEa8m3y9bx7bJ1sR5GraGyExMFeBVYB8wOVuib79bRrk0Wd00awZl9O1ey\nS6G6cKjgKD/sXEuczcG5bU6P2TjmvzGHXdtzeOLl12M2BiN7/lzHwtlTiEuqy5gZL5HRvD3gm8zU\nb1oIwOGd1ddxtCI44hPofv7ldD3nQn587yVev2UUfS+7nu5DxwCBk4xooygKU2c9y3UXj+DZhx/g\nlinTYz0koZZgfuB+4LEPoj6GiroTVkcqOzHpC1wOrAZWePbdC3xuLLTxt1m8Oe87bp/8Ni5V5Y6b\nhjN+dF/i4iSNSgCxWJHY2Gewu9svwZr778+3LkfVVM5q1Y3UhGRLZ0XN9IOkGp5wgzm9GtUQlynp\nmjk0eNf2HJ5+cAZvLvoCJS6eUoOzq66UGFcONidPs1oVOJhSYnR+9SVW07zHXM5Svpn7PKu+eJeB\nV91Ox37noygKxYUeVcQzManbwG3tPLgjgeJCp+eYpz2TcgI+NcR3LPBJMsBxNIzVhX3p5g3Kgd3f\n+VVXVxwO1e84gMvp/ry86eY95+dwJNHnskl06j+Sb197mLVLFzPspgeo37yNLxTYML54reyxBxIY\nLhyolASqKvFx8Tw+520uP3cAXbr14LzhI9znYOjTYfMkS8P9mfjuz8BQd/1+VizKBIQQBwsfBhQl\niI9ReVf8DaZaWLUTKSdYWaVYqCSV/RVc5mnjVNyOr90wTUoA4uIcTJxwFiuXPcozj17J3HeX0b77\nbbz8xtcUFZVUcghCrPjUY8Y5v33vmPSvaRr33XwjV914E207dorJGHRy9+7g9bsmsG/LWq58+j1O\nOuuCoKne6zVxKyZH9iTV6u/tjCatuHT6K2SfOZx3Jl/F8k/fQYt15j0gPbMBT7z6JtNvvZHtf22N\n9XAEoUqwK0rUtkgTVclCURTOPvMkzj7zJH78ZRMPPv4hkx+cz9+vHMTN1w0hq2FaNIdz4lEeNcYq\nTNiApml8u20lAOe27R2ojASEC4fyHzEnWIsLqKf7lhhDgxe9/y6HDx7gyhsnoWpagP+IlY+JOc28\nnjzN6D8STCnxK1Piq7dl+TI+mX0fZ4yaSNfzxqIoCiUlLkqLdTXEo9IUu+srdhdJqSUU5sVzaLed\nuvWLcOnp6y1UEb2+N1zYYqE/nfIkWLNyYlPsukJi8yvjirMH1HF6VBTd10RXUNQEQ/I0VaPTgIto\ndlJPPn9uMjmrfmboTQ+SUq+exdjdr0b/k7LPxegnYq2UGH1N9L+zu5/ONbfdza1XX8Hbn31FUmKi\noYz71WVKvqYovs/EHEJsDh929+4fQuwNQ9b8w4eN7VRooT8/N5swwoXDIVjStSiqIYpi/K6oxTN4\nIYCYWaV69+zA4vfv5of/ziD3yHE697ydf975Gnv25sZqSEI52Jl3gD35h0hPTKFjZouo9388P58n\np01m6uNP43DExiSoaRq/LHyLRc9O4YI7Z3Ha8MvDXhAvrVEBAEf31YnkEKsN6Y1bcukDr1G3fkPe\nvmc8B7ZvifWQuGzidWQ0aMC/Hn0o1kMRhEojUTlVSLs2jfi/WVcz/Z6LeXT2Qrr0upMhZ5/CrTcO\n4/TubWM9PCEIP+9y59A7vWlnbEqgfV3HvFCfVeROgK9JqKgczxPcq8/Npkfffpx6Ri+LKBz/11KD\niqCrJ/qCfKXeBfoMCoUpvbxXOSnxlSkqcbJkzhNs+f17xj38JklpjSgpdlFa4lsxWFc/9H2+9y5S\nGuSzd1M9Du1IJLO10+dj4lFHNOOCgfo+1f+YVSSOFkbuFsXu/8VijNLRj7kc/gqJ0+s/4vtsHKop\nisar5BjSxMc7/MoMuOJu1i1dyNv3XcWI2x6nxck9yxxv+fGkyveoI/6Kib/aMP2Z57lsYG8GDRlG\ntzN6AeDUXTDs/mqdogV+XfqSsQVXQfRIHbOvidE/RjMdq3C6eu/AQiglwRb4i0TCtSqK1BFOLKqN\nH2/DBmk89dAEtq56htNPa8voK5/hrOEP8s13a2M9NMGCn3a6Q+N6NY1+6PfhQweZ+/IL3Hzf/VHv\nG9w/vJ8//wA7169k7MzXSWvYtNxtpGa5c2nk7a8eiwtGk+wzL2DE7U/wyVN3sfGH/8Z0LBkNGnDX\nI08y5eZ/UFxUFNOxCILgptpMTHTqpSVz6w3D2Pz7U1x9+UCunfQKfQdPY+67yygtdZbdgBAVftvj\nTqJ1etPoh3+/8uxshlw4imYtW0W9b03T+OS5aRzcvpWxD7xMYt3UCrWTluU25Rw7AScmAC1OOp3R\n017km9ceZ9VXH8Z0LOdecCHtO3fhhVmPxXQcglAZxJQTBeLiHEwY05+xl/Th0/+u4NkXPue+B+Zz\nyw1Due6qs6lTJyHWQ4wMuuRZ3rBhs29DBIPaNcXG5sO7AOic2dI6eZpF6K8Zs9Or99VvPR09OZVb\njs87epR333iNeUv+592nWzR8782vvj69Zh6TCUc3VYBh/RvdIdXpq/Pt28+xZ8t6Rk97BSUukRKP\nQ6turtHfgy9Jmq+MHhLsIqneUff57E+muNiJ6vQfh2pwtNVNNqrHFIRL9dtvpDymHK8Jx+673vo+\n1bMqsHftHI9jq8tgyjGbd7QEf7ONEVUNzGNSr3E7LrrvRT546DqwxXHKoOF+x423sNlh1+b0vBru\ne/1vm8mEYzM4repmR/2Y/rHf+dDjjD7zDIaNHkvHjh09x9xl4myhwoXNX6Gl3r/MIcTedXRMa+i4\nx6PXMa2jY1yiCjMWSeaCJV2rqNNqZVceriJqYtI1oeJUO8XEjMNhZ+SwHixZOIUFb93K9z9tpF33\nW5n55IfsP3A01sM7ISksLWb3sYM4bHaapzWMat/vvfUGfc4aFBO1ZMUX77Nm6aeMnfY88UmVc1qN\nr+MkoW4xrlI7hUdqV6K18pDepBWX3P8837z+BJt/+TZm42jYuDETb7mTx+67M2ZjEITKYFOUqG2R\nptoqJlb06NaG99+8lT/Wbue5l7+g0+m3c/HIM7jzpuF0aNc41sMLQJ/dK7FImhaKiozHUGfbEbda\n0jKtEQ6bg3DyYZlVEStUi+ygPudXtxll3uuv8tCzz2MUBswKidnp1RgurP9ZalIoii1WDi51+ZKn\n7dq4mq/fmM24h9/AkVyPEo/6YVZFjKnkzUpJiSl8uG6DfIrzEzi8K5H6LY64x1caqIZonrEFOL0a\nziscpcSM1wnWFqiYeFUVT5iw3qemGtQss/Or5zU+IfBrxRHiJknLasPw257mkycnMfr+F2jWoUtA\nGbvir5DYLUKeA1QVj1JiU4zKhFlN8ShEmsZl11zHe6+/wtKv/kvfQed46+kh6hVdgdjsBGu3KEsQ\npSQmTrAgKw8LMaWa/WKGx8ldWvDS7L+z4ddZNG2cTr8h0xl79bOsWL0t1kM7IdiS656YtElvEtV+\nf//ZndBNj56IFoX5R/ng8TsY/I/7yWjaqsraTcl0Z4DNPxi7xQ+rC43ancTZ19zDh4/eQn7uwZiM\nIS4ujlumPciT0ybjctWM1Z4FQUd8TKoJDRukMf2eS7j9xvN54bWvGDn2Sdq2zuK2G4dx/nnd/JIv\n1Xp0G3AUZLZ9+e5cM01SMv32W6WkD0WwMGG/cGHvYoAqH783nwsuG4eGTx2BwPBgs2+JMd24d5E9\nXV3R3xvKlJr8Tj574RHanNafNj3OMiRL8/cpMSsnEKiU6AnW9DaS0vMAtwOsy3PMrI4AaE7/fV5f\nEwNeFcUV4knX7v/5+NQR1WKf51Ufh8vz2bgMikCcrpSYla7gTur6IoBOP6XDva/dGYPZv20zHz91\nD5fe/4JXFQEoLg3Dx8RmVlM8qfKNQkCAuuavqvQ773ze/PezfPbhAi68dIynrOd8Le7LYK8QPF29\n2dfEWDaor4l7p/HFQGBa/ogt8FdRX5MTeIE/ofzUil/ulJQk7rx5BFtWzubaq85m2iPvc2q/e/nP\n+z/gCvVFLVSI46XusMqUhOglB3O5XHz5yccMuXBU1PoE2PTLUnau/52BV9xa5W3X9Sgmxw/VrfK2\nayq9LrkOZ3Exvy58Myb9K4rC9Xfdx4tPPiqqiVCjEMWkmhIX52DsJX0Yc3Fvvliymgcf/4ApM+dz\n498Hc82Es0hNjU2WzZj4mqgWduMqIr/EvdZLclydgFT0OsESq4VKwqZj5WuyevlvZNRvQPPWbVA1\nzdKvxRedo7/qT/S+Mi7von0e5UP3NTEmWPNE4RQVFbH4+Yc497qp2AwROMb65lTyLkN0j9mnxFvH\ns59lZjUAACAASURBVD8pxe1XcvxwCmqJC0Ux+JgYfF4C/E4sonJUp4qz5BilxUdxlhagOktBUbDZ\n44lLSCUuIQ1HnC/tOlhE54BXVbF50swrXr8WT8I1v8UF/T+nUqwIP8Tf/YWnMPTmh5h793ja9RhA\nZvO2hmNQ6jIpJ0blxaOiOPTEaJ6PwuhjZI7K8fmY+MbRc8BAUurV4/OFH3LeyFEBvibg8zcx+5rY\nQpxvMF8T4zGzr0nQxf3KS6ioHCs1I5JJ1wShDGrVxERHURSGnHMKQ845hZ9/+5Nnnv+MR576mGuv\nOptbbxhKZv2K5Z4Q3OgTk7rx0Ysm+eHbr+k76Oyo9QewfPF86jdrTatTIrNIYVxiKfF1iigpSKTo\nWB2SUgvCrussOc6R/WvJO7SJ/NwtFB7bDYqN+IQ0HHHJKLY4NE1FdZXgLMmjpPgo8Qlp1EltRt30\ndqTVz6ZuRisUm/XEMpakNmhC70uv4/P/e4DxD72GEmWTrKIoXPXPW5gzexaDL7goqn0LQkWxR0HJ\niBa1cmJi5Iwe7Xjn1ZvYum0fjz+ziE6n38G40X35598HV8tInppAgceUkxQXvVwyP/1vKRNvviVq\n/ZUUFfL9ey8zfuYrEe0nOSOPkoJECo6kljkx0TSV3D0r2bf1a/IObiClfkdSMzrQMvtSEpObEhfv\nMwmZc5xomkpx4QEK8nZw7PAmtqx+FWdJPg2a9yWr9UCS6jaKyPlVlK7njmb9/z5l7dJPOemsEVHv\n/8wh5/PsA9NY/uP39Ok/IOr9C8KJTK2fmOi0aZXFC09PZPLtF/LCa1/Rf+gM+vfuyN23XFA91+Qx\nyqpmE1BFk7BVUf1ERzwARc6SivVfDlRNQ1VV1qxaQdcePb1hwkbnV7NDo8ucYM3K+dUU4lpqMOWo\nqsbv//2AJh26ktGsnXfNHGMosG66Ma9xo5tvjPt0p1c9aZrRebVO6lFyaUj+gbqkZzm9x4xlNKeT\nAzt+ZNfGT7DZ48hqeQ5tu16LTTGYZlQVtTi02SQhLpOE+pmkNzgNgMLjeziw8zv+WPoAqfWzadpu\nBHUz3Asyqp7roYcLe30pDe3p+8zGBiuTju7g6l17x8/51d/UpdhUQOHMK25j8XOTadf7XOIcdTxl\n3J+X3RMK7DA49Oqfpf4Z60+QDrthteMykvG5/1ZAsXHpxL8zb84r9Oo3wK8uWCQD1H1D/ZKw+a88\nbHZo1Qz//8wrD+vn52cqNa88HI6zaaScYCH4ysPiBCtUklrh/Foemjerz0NTL2PrytkM6NuZiyc8\nzQVjnuCrb/9As/I4FwLQTTjHS6Kztsi2LX+SnlGfeukZUelP0zR++ugtTh95RcT7qlPPHZlz/Ii1\neTH/8FZWfzONfX8todVJl3NSv+k0aNYPu6PyZrSk5Ma06Hgppw58nOTUlmz4+Qm2rnodl7N6rBnT\nLLs79Zu15Y+vPohJ/yMuG8f3X3/FoQP7Y9K/IJSH2pRg7YSbmOgkJydy83VD2LT8KYYN7sat975F\nt/73MvfdZd6n4KpG01TvVpPxTkxKw/eJsELTbAEhmFbOsVs2baRdJ/81eVQtcAt+TPNtqmfTTJuK\nd9uxYRUoCk07d0fVNJylqntz+jZN1dBU3zGX071521c1NJdnU1U0VUUtdW9aqcu71fE4wBYcSfUe\nV0tV1BInezZ+wbplT5DVajCdz7iPlLROaE7Nr76++dUtayt2ohY7vXVtWjyNW5zHyX1m4iotZdU3\nUzl2aJvfWK3Gbt7nfa/6Nlepe9Ovm/H6+DYVVVUN19KFy+lCVTXOuPjv/LbwTYqLSyk11Hdp7s3p\nUr2b+TN2eTany7f5PvPg94hTdW91U9MYMHgIixa856eoGO9VFTsqdu+9bLWpns18v6vYvFu4/xf8\nUGwWm1LxlAHGdnRstogubyEIVpzwd1xiYjzXX30Oq394jEemjeHlN74m+4w7eG3utxQWRt5UURPR\nJybHiguj0l/O1i20aN0mKn0B/PHtIk4eeD5KFJ4MdMWk4GiaVxlXVSdbVrzCvpxvOHnAVBo07ROV\nsTji6tD2lIk063AR6396gsN7lke8z7Jo0qErddLqs/nXb2PS//BLx7Jw/jsx6VsQyoOEC9dCFEVh\n6LmnMvTcU/nmu7U88cwi7p0xjxv/PpgbrxlMRnrV5pqIWAhxqERrlfVN8VA/KQ2AAwWHUXCV/WRX\nTvyeKjXYvWsXWU2aep9og2E+5vU5sYgt1veZfU0ANv28lMum/su7T/PY51VD0jNV36fXd/mHIRv/\nNocAG/1HHI5S4hILKS1KoiivDnGOI2xZ8QqlRXlk95qC3ZHgS0WvJ1/Tx+WXl78cKlzIJ2AX9Ruc\nTmL3LDb9PhvFZic969SQPiaa54vKe352Q1itTQ/d9VyfUn9fEwA1zr+M+fXkcy9h9Vcf0P6MQV7/\nEYfqXweCf6bGMkH9kDSLtGUanNbvTPbt2c1ff26mfYcOfsfAlxDNt6hfYNp6s6+JZkpjbyRY2LCn\nQtB6ZeKXbl7vLIbKbUUXFTQ3I74m1Q078BuwE6iw1/oJr5hYcVb/Lix+/26+XjiFbdsP0uG027h3\nxjwOHMyL9dCqBS08C/dtP7ovKv3lHjpERmZm2QWroq+9O3GWFNGgZbuo9AeQ7FlpuCAvjZ0bP6Lg\n2C7adbsBuyN2K2gnp7Wifbeb2bLqVY4fzYnZOADa9RzEjnW/U5CXG/W+7XY7Zw8bwZeffBz1vgWh\nPFQTxWQSsA6/vMYVOJfKVK7tZHdqxqvPXcvvSx8m98hxOva4jb9PepmNm3dHdyCaav1Uoe8P9bRg\ndJ6oijFoKq3T3WHWWw7vRo3Ck0re0aOkpNULu3woZcXs32AmZ81ymnc5ze13EKKs14/Es+l+El6/\nEoNvie+9ezN+JpqqkZTqnpgc3lnI/pz/0bHHJGxKvLeesaxm8F3xa8fYbxmbt46Ff4qxTN3UVrTM\nHsfm35/H5Sz19V/WFuIaWPqYuNyb71r673fE16Fl115s/uVbr9+Ita+KabO4D0L6H5k2nUHDR7Jk\n8SJLvyazP0l58Ktr8inR/VJC1lPcW0hfE7PPiBXhlLGsF8SfxcpXRTgRaAYMA17BauWEciB3Thi0\naJ7JC09PZNPyp2jWJIMzz3+A0VfOZtUfsX2SjBUZSak0qpvB8dJCco7sjXh/pSUlxMXFRbwfgH3b\nNtGwVceo9KVTJ809MTm46zgts8cSnxj+JCzS1G98Bol1stjz5+cxHUfrU/uQs+qnmPTdvVcftm7c\nQO7hQzHpXxDCoRooJk8Dd0Jll8SWiUm5yKyfyrS7L2bLitn07tmeYZc+xvmjH+Ob79aecKHGJzd0\nO6Ou3PdnxPvSNC0qzp8A+3P+JLNFdPPa6BMTTe1IRuMeUe27LBRFoWX2OHb9uRiXszhm42jR9Qx2\nrPk1Jn3HJyTQvXdfflr6bUz6F4RYs+HXH/jo+VnezYLhwH5gBZVUS0AmJhUiOTmR2248ny0rZjPq\ngp7ccPsczjh7Kh8v/q3cE5RyhQ+XZbYpL0ZTkL7p5oEQfSmayhlNOwHw04613v02RfVuimfTAyIV\nXCimVFx6mYD2jfUViI+Px1lSEpH4ebP8f+zwAVLqNyy7rMfMYD5mxGzC8ZpJTGWSkj0TE62D57KH\nNtNY7g/XzBJkHN7xWJhjEhIbkJzWkiN7V7vX6dE338n7mQqt+grHLKabw3zt+MKOUzKb4HKWkp97\nMOj1DmbCCWWusTLPWJl0Tu/bn19/WBbQttkEU5GwYb/rHyRsWLMIKa40ocwt0QwbrgKzj6LYvNuJ\nSiTzlmT37MuoG+7wbhb0AS4A/gL+AwwCKrwS54n7KVYBiYnxTJxwFmt/eoJ7br2AGY8uoFv/e5m3\n4IeI5UKpLvRp1gWA73esjnhfycnJHD9+POL9ABw/cpjktPpR6UtHUXKBvWhqAsWF1XOl4YxGPTi8\nN3bhw4qi0KBlB/b/tTEm/Xfv05ffflgWk74FoQZwH9AcaA2MAb4GKpyhUiYmVYDNZmPUiJ4sX/ow\nM6dcyvOvfkWH027j/175kqKi8HKhGJOvlamgWKkZ5n2aFpgyOgw1xGJgns2/Xt8WJ+Gw2fl513qO\nFB2xVD6sUFC9m3efrpCY9utkZGZy+OABwPdUEIrKZCd0lZbgiI9sNIyf+gEU5O3G5tgCQGF+oH+J\n12k2QuMIx0E6Oa0Fhfn+/kRm5SWUEmNGV5xUi/LB9qc2bMrR/f6O53qiNZeFUmlOtGYVNh5yjAYF\npUOXk9mx7S+O5+d7jplUGT3RGoGOrMHQsHs3XVs0HwtVr8IEUz8q6rQaKqmbOMFGjWrgY2JEonKq\nC4qiMHxId5Yuvp+5L9/IZ1+upF33W3nupS8oKIidfT4SpCYk07f5SaiayldbI2v7z2rShH27oxMJ\npWla1P2Fio7vIz5hFwCFx6qP46uR+MR0SoqiH65rpG5GA/JzD8Sk77j4eNp1ymb96pUx6V8QahBL\ncZt1KoxMTCJE754d+GT+nXz8zu18vXQNrU+ZxIzHFpB7JD+s+hVOXx9MOQn1YxvK1yRE+fM79Abg\ng/XfAv5qiO5T4n1v4U9i5XcCYMPl2xSFFq1as2PbVv8yim/z7bNWSuw2xbuV9SQQl5iEszi6a8Wo\nrlIc8e4ILyvFRLEpKBHItqjYFRS74nuCNjxFe4/pWDggm8sE1AmBza54t3BJSE6h6PgxyzDvcPGK\nQx7FQ1dbrPxOzHTq2pUNa/6w9F+x7CtARdEVkuCKSrCwYavQYXPYsHXosClsuNxqSBBfE0lTL0QQ\nubsizGmntuHDubfzv8X3k7PjIO2738bkB+eHPUGpzozOHgjAok3fk19SuXVzQtExuwubN6yPWPtG\nklPrUXAsuspAXEIKCusA64lJdaC48BDxSdH1vTFjs9n9nGOjTbuOnfkzSvehIJQX4wNYpLdIIxOT\n8mK0xwfbLOjYvglz/nUdv337EPsOHKVdt1u5bfJb7NxVdm6EoMpJqARrofxIyuNr4u0jUHlpldaQ\nPs26UOgs5v11S8o8DzBH3HgieEKoKgCt2rZj/57dFOQfw66AXTF7oOvqifX7cNAVk5TMLI4f2l+2\numJ62reyveoKgq54eN+btqSULEqK/5+9646PmvzDT3Kre7cUaEvZULYM2XuD7D0FfiqIgqIgKAIC\ngiBLVBQQkSGIbBARUWRvRFbZq0ApLS2FLtreXX5/5JJLckmau971Ssnz+byfu7zv9x3J3eW+eb7j\nPQYAyEr3p59w5VgMSz1vHJJf2D6kbZscs2HT3yKb8ewOvPxKAhrSWqwnz1+nyFz22KilmBTKbKY/\n0wK4MXLBMChlKlTC7RvXRGXynWBNGI0jMp5bonPsGiefviZOWsfLHp1TFKB+egWM6KhQ/LD4Tfx3\n6AsQBIEajSdi1LgVuHf/xUzeNKJWRwDAD2d2umwOvV6PmOo1ce70SZfNwaBYqXJIinN9bhYuvAIi\nQZkTodWnw2zSFcrInMf3jyG4RD23riErLRWefoFum79kqVKIj4tz2/wqVMjBleHCwuLyc3H5DCpE\nERkRjPkzB+HKqfnw9/NCraaTMPL9Fbhxy/WZVJ2JvlWaw9/gg+MPLuFUfKzL5qnTsCFOHjnksvEZ\nFCtdAY8KOCSVIAgEl6wHjYZWiLLS/At0/ryQnnoTOdmp8A+Nces6MlKT4eXvPsWkeMkIPHoYD5Op\naKcCUKHC3VAVEy4cNNM4NI6lhIb44Ytp/RF74kuEhfqhYdupGDpyieh+PLIhxULnVdF6gROs0KSj\n1AmW0+6tM+CN2p0BAPOPrrU100gkWuM6vVplaIdXrrmHMfM0b9MO+/f8IWKusTXZaAgCGlETj9WU\nYOsMS1sjSlevjbsXT1usKXQbQZIgSJLnsGltowtJkiBtzCt0P6G5hWumYeqKl29nNedkBPLH0Wno\nIjTFcMcRmIdIHQlSZ1vPMwVZxmVkefKWNooy4taFlShdbQBIjYZnpmH7MHXMOmWugbzzMWkp/OtO\nWOqexN9GSASdcZj9HAlrcTV0ej18fH2RmpIs6SArl2BNmGhNDFJhw2LhwQ6HDTMmEzknVqFZRczM\nojrBFioUsnDh/J2Ly2dQoQhhof6Y/nFvXD+zEOXLFUeTDp9h+DtLceXaA3cvLU+MfbUndKQWWy7v\nx+WkOy6Zo1a9+kiIj8eDe66l0gOLlYTByxuJd8R9CVwFD58w+AbROW8KU8jwvaub4eEVhuCSr7p1\nHWaTCY/v3URIVMHt+iyG4NAwJCclunUNKlQUdby8iomjbIiL1+Hv64HJ47ri6un5iI4KRfPOM9Bv\n+GJcjL1n01U2pFguCZtc+LADzEuEbzCG1+oAChSm7V/ODxOWCBumWRUjSMJolRGwJFx5nVaD9l27\nYdfGDZJ2Ty1JFyFTotVyioYULdwn70oNWuHy4T+tYwtYEpIkoNFqoNFqoNWS0GqtbApzzC1CRkGM\noSB1JCKq0GzA08eELIvBbWNlGLZCQZFkOriFJPDw9m6kJp5DudojQOq1NnMzT8zC8bgy7PURsCI8\n5sVy7azsE9/BmNQQSLp7Fb5BYfANCJSMCmD7SbBjGg4zxsjYy7b4+gcg/dkzxfJKoYT9yDNsWHbH\nYULeORUoPLsCq06wDoHrL+/q4vJzcf0UKhxBYIAPpkzogZtnF6F2zdJo3e1zDPzfN6ImnsKAT5sM\ngodWj82X9+PUA9eEVPboPwA7fl3v8gRo1Zp2xIUDuwo80ZpvMM2Y5GQVw+MHpwt0bi4oyox7V7ci\nMe4gYhp/BJ3Bz21rYXDn7BFE12zg7mXA28cH6Wlp7l6GChVFGi+PYlIY2BF7YFmnt6ce49/phBun\nF6BSheJo2nE6+ry+yIZBkfQ/kWU/LMyH3HUR+ppI+KSU9A3Gu/V6AgDG/rEIFIyyviZcfxPr5n80\ng6IhckUKhbqvvgoCwNnjR9mwYQ0BG6ZES5KWwtRbi1SiNS7DERVTHVq9AfcvnYROhAHhMgBaHQmt\njoRGSxetVsMWjY6ERkeC1GksRYTd0NKF1JEw+Bih88gC4I075w/i3rVtgJZQxI6IsShShe3joaUL\npy039wmunl6IZ8mxqNpiMjz8QvksixjzIjhm2CSN1upvwl47y/XiX0/LNbO0CT8bggAuH/4DFeu3\nUmT3dsQOrjTiwODhgezn1gR8Ur4mSiCXvt6eJGz5hj2+Jkogx84UBkamiEKNylFR4PDx8cCnH3bH\nrX8X4NU65dGm+yz0H764UEXxfNJ0EMJ9gnDiwWWsPrfb6eMTBIHBb47Cqu++cfrYwnkadh+Kk9vX\nuHQeMXj50zsNl6o+A8+SLiP20BxkZ7o+lNxsNiLhzt84f2Aq/IIrokrzT6D3KBy+Lgk3LsKUm4PI\nKnXcvRRotVqYzWpUjgoVrkTRVkxeJIZEIby9PfDB2x1w/dR8VK0ciQZtpmDQG9/g8lW+k6xs5I7w\nmJs8zZ5IHbOJLpZ6f70nvmz9FgBg/J9fIzEjwYYFYY5Jwpi3r4lI8rWeAwbi9LGjiLtx3YYZYY4Z\n5kRHEtCRBKfd1sdEZyn8OgJ123ZBws1YJN66bPVD0WnYYmVK+L4mLCPAYQV0Bg10Bo0Nc0LqSJa1\nYJgT70Daf8FojET1NpMREB6D8wem4E7sOuSan4L00EJj0NDFw1pIg1ZxYfsZNKCI50iI24v/9n+E\nlEdnUK3FZERV7wGtQU+zH4Lx2bkNnDkZfxKDFlqDlmWKNDoSer0Ger0GWh1dWGaJc52sbBNd2Gts\nOT77+894pX1v6HUa3mek0/A/T52WLja+JnY++THfH6nj/Jr4ZDfok0i0JpZQjW2TidwRhTBNvT0Q\n80NxleOBk3xeXhZfE6tvneuLy8/F9VOocAV8fDzwyQddcfPMAlSpFIHmnWdgyFtLcOvOI7eua2C1\n1mhbpg6ePE/DO79/5XQ/DW8fH7z+9jtY8uUXTh1XCJ3BA80GvI29K+e7dB4hvAJoxSTzqT8IUoOo\naj1Qq/1cEASJc3s/xpWjC5Hy8CzMJmW7VovBZMxGysN/cfXktzizZxzSUm6iYv0xqNrsY3j5Rzjr\nVJyCpLvXcO/iKdTp2NfdSwEA5ObkQqfTu3sZKlQUaWjdvQCXoLAwJPZuwKcUHO3fz88Lk97vgtEj\nWmPh93+gXstP0bNLXUx6rwuio0Ihli4hj4Tg9AtzDeVUV+b0mPWYjSAALO/0HqosfQNbLh/Ezxd2\nY3D1diAsA3Hzl2hgBADWXq4hmGPrk5/GMjYjQxEkho8ciaY1quHWlVhUiKkCo2UdWosqz7wyEQxa\n0qocaS2pznVa0iKjsbxaZYwmuq1ep944vm0Vbp85gAqvtmBlAcBsoiyXiX6lzI79lAiSbxbwCaX3\nUMpK8wdpoMf01AShXP2hiK7ZB4l3DiP+5m5cP/09fILKwCcwGl4BUdB7BMPgGQiNzhMkqQMFCmZj\nNoy5mcjOTEZ2ZhIyn95HRuodZDyNg29QOQRH1kW5V0dA7+lrXY/l+hBaDf9YRx+TOusXgnmvscjq\nDPSrVmuV0Vr66fT0q94iw/ShZfjjMP01JIH9P81Hg57/g5cPvUbGd0T4CoBlQORl+NefOVb6FJiT\nkw29waBM2AKz5ftMWH4wBGzvCwwjQhAmSx/LNeDIWn8X0vcVllkheC8CIQX3JeY3nd97GMNKCR9Q\nuAyGq+6TKl5YFE3F5CWEn58Xpk7ogdEj2mDhd7tRp+Wn6NPtVUwe3wMlihdstswo/zAsbv8Ohu/4\nEu/8vgANIqqgTGBpp43v4+uL0eM/wqxPJmLllh1OG1cIjVaHLu9Ow6Z5E1GqWl1A5+myuRh4WxiT\njFQ/UBTff1Cj80Dx8q0RXrYVjDnpeProGjJS4/Ak/iyyM5ORk/UEJuNzmE25AEFAozFAo/OEwSsY\nBq8QePlHIrhkXfgGl4VG56F4J2B34fzf25CV9hS1O/Vz91JYpD97Bh8/90cpqVAhREE4pRYUVMWk\niCEk2BefT+6D90a2x5zFv6F6o4/wxtCW+OCdjggJLrgb6us12uOPG6fwa+x+9N88DfuHLoWnzsNp\n4/cf/gbWLl+KfX/8jkZt2jttXCHKvtIAZWo1wt4f5qLNqKkum4eBziMXes8s5GR54nm6Fzx9xXdt\n1up9EFSiFoJK1AIAUHaEhhAFYSTOJ1If3cc/qxai//Rl0Gh17l4Oi2epT+DnXzicglWoKKooWoqJ\nO0w47qAhFcwZGuKHedMHYMybbTFr4Q5UqvshRv+vDT54uwP8AvibxInTvcyr5Q1311+N4GtjMtrU\nEzBhaccxOP3wKv59eA3v7p6LFV0mQuwhXSOwF3GPKQvlS1pobMa042kwYMaCRRg/6k38duwMfHx9\nYbJcF72GMdPQxzrOH7GZadPR52Wy/KFrObvl6i3mB8ZM02nkJHz3Tk9cPfwHqjSjNy1kTBJUPr9z\nJsvaGPbCnEvCOyQdOfc8kZURCO/QHMBiWjLnmi1ziigh9qzD4qhICObm1jG7BzPmGuaV4Dg5MiYX\nqwnH8sox9zAmHKZOp9eKyNB1zDU15WRh+xdj0bTfW4goH8Ofy7JW5vPSccxGrOnG8uSoY86B66fJ\nmHsI/jEXQhkuHicmIiQsjCNrK8OAYs2Xzr1HMCZKkjXX5NfcYrlA3J+h8PskZtoR1jEX2hX3YSeY\nlrgOsKJJKV9wFCXGRHV+LeKIigjB9/OH4/S+GYi79xgV6n2IRd/txvPnjjtPKkWAhw+29J4OT60B\nq87txjcnNzt1/EbNW6JhsxZYOGOaU8cVwsPbB/0mL8Kfy2cXyM7D3kF0Aq+MJ755SBY9mE1G7Fww\nESUq1kC9LoPcvRwesjIzkZ39HH4B7ttIUIWKlwFFgzEpCkxJfqNXhNqyYH3RkcFY+c0buHj5PiZ/\nvgkLvtmFj8d1xYhBzaAzWKMMpHVujg7LMCTMExKp5dcDLHtSI6wUVnQehwHbZuP9PV8j0r8YulVq\nQi+RcWgFpx/4zq8kwTgBWp1f6dXQMlNmf4629eujTafOqNe0BQCrI6uVObFeW4ZFsTInlnoOC8G8\nN3OYk+hKVdBx5CRsnPE23li4HnqfYKkLlSdIziO8UUs7OxqNdJ1Ja4ZfeCZwDsh66g+tlxaUxdGW\nkGNMTHZ8HzV5MyZMHeOQqmGYEw5FwLAYjIOrxnLMMB+0jHgb1/mVqSMoE35fNAmU2YjX3vkUOo4M\nw5QwbBY7N4fpYlkVLX+tWhEHWQ3BZ1fknjaZtvi4uygRGQWNJSQ9v+Cml9dYGElK4CjLTaQmxYzw\nQomVsCgsc2BmBshb1lVOsM6c4yXHC2ChVQyVMXnJULVyBLb9PA6bfhqLzTtOolqjidi846RL06/3\nr9oCM5oPAwUKA7d8huP3Lzlt7ICgIMxZsgwTRr2BJymuTURWs1UX1OnQB2s+HYnszHSXzeMbQo+d\nkfzyMCbGnGxsnTsOxtwc9Pv0a2gKYUhu3O1bKFWmrLuXoUJFkceLy5gUJEviLE3elXuv2DW2GfVe\nKY0/N0/A3v0XMXH6r5i7aAc+n9wHrZtXpUUYPwTR/kJbsoXxEEtiZGFOPmnUD3dTE/DDf7vR9ZeJ\nODrsa5QJFr/Jkxx9WSt4uIPwGECL1s3RtXdvTBr1BpZt2AyDwMdEz3mqFpINDJtiNksnp+KyKW0G\nj0LmkyRsmPYWBs1YBr3BmyfL9cFgntgZFoJkWQjr4rUWpsRoYUOMWhOCIrIAABkpPtB56NhFmw3C\nEGWRsFMT/wTFIm8IQTIsYTp3wJYhEfMfIdg2ktfG+Ixw69gQYAvjoddbr3fmk0Rs+WIcAsNLovsH\ns+HpRUc/6ThrFzIljP8ILzRZQwpebdkQ5lS1rD8Kv54rL2RRbl27guhy5ZFfCEOD5WS4vl3CUGCH\nw4aV3M+k/EXEwnylfE3E+ucXKrsiCXs2oyzsUBmTlxgEQaBti2o4vW8Gxo3uiLfHr0SH3nNwWas6\nMgAAIABJREFUQWQnY2fM9V3HMehY7lU8znyKDusmIjHjidPGnzBtGtLTnmHJvDlOG1MMBEGg65gp\nKFmxOlZNGobMZ6lOn0PvZYTBJxumXC2yUl0fouxOxF08hZ8+7I8K9Vui50fzCiVTwuDKhQuoVLWa\nu5ehQkWRx4vHmLwITEl+mJECeRIgbY76dq2L7h1qYenqf9Cmx2y0a1Ed0z/uhVKRIRYhzpMy89TC\nPr1YzpdLOpj5fiMgSWgBbOjxMZqv+RBnHl5H2zXvYt/g+QjyLia5UmYUa6I1fnQOXUdCoweWrF6D\n15o2RuVq1dGqQyeObwmXMeHXmZhjkf9Ds+Bz5DILPcZMxu7l87B24mAMmv49fMMibGQYhoRlHSzs\nQW629UnZaKTfMywKw6D4h2cg8YYBuekBCChGOyqzvi8iPiZidUIIN7YTTUBG8tkPIStCclgMof+I\nkB0BrAyJjU+IKQcHfv4G5/ftQM8Jc1G2VkPo9QI2RMR/xCDjYyKMwhEm3AOsEVpCVkSMVWEDlCyv\nsef/w8hx410S/SAVwWPmfHc1wjZBdI5Yf0Vgz0cm6VkR8zVh7mFFKTpH9TFRUSSh12vx7httce3k\nlygVFYLaLSZj/NR1ePpMPJeGI/DRe2JX35mICSmFi4m30XLNB0hyEnNSLLw4lv68HhNHj8TlC+ed\nMqYUCIJAxzfHo0G3Ifjhg4G4c/6kU8f3C6Ov+dNH3nlIvni4c+44lr3bA0+TEvDWN1tRtlZDdy8p\nT6Q8TkJKUhLKVY5x91JUqCjyUBUTFTbw8/XE9Em9cPHIF0h9molKr47HV9/vRk6OMe/OClDMJxD7\nBs1FZYty0nbNWKcpJ7Xq1sO0eQvxZr+eSHjwIO8O+US91/qj14S52DL3QxzdtCLfeU0Y+BXLAAA8\ne+TllPEKA57E38XWueOw+9tpaD3iQ/T8aB68AxyPbipI/Hv8GGrUrQuNRuFGeSpUqHAYL44pp7Cb\ncOw139gzR4HSjQydakJ4qC+WLxyOcxfj8PHMjfhm2R7MntIPPV+rC4IgOIm6mHBhzjCEYM2CTXuK\neflh36A5aLFmPC4k3kTbNWPw15BFCPGSyKop5QQrUtetV08kxt/HW727Yt3uvfD25+adYP5YTIJj\nDlizDn1esqGkpAlVGzRByDcbsXH2h7j93zF0eX8m/EOL2+zdorE4uHJNHUYjPT/j/GqymHZCS2UD\nANIf+8DTm16Q1elVuSlHaL4BbDO/ijm/alnnV4FJR2drXrE6zIrslaMhkfroPo5tXIbrJ/ejQfeh\n6DV+Drx8rEwQmzRNYJ7RiTm2CmV45h6+6UYYGsytE5prSFEZa92Rf/5CoxatbWTsgdXpNW+nVTHH\nWCUJ22wcZJmvBc/cI+wkc3+RS5omNL2ImWJclXRNdYK1gZpgTcVLhRpVo7Brw3h8N284Zs7bhpZd\nP8e/527ne9xwnyD8M/hLVAqJwoXEW2i1eizi0x47YcXAm2PGomWHTnizTw9kpKU5ZUw5BBYriRHz\n16BU9bpY9m4vnPljY77Yk4BwiyknweuFvfc+unUZOxdOwk8f9oNvcBhGL/sdTfu9Bb3Hi+XQS1EU\njvz9Fxq3bJ23sAoVKvKNglCxKPOTdfkfpSAYE1cxJUrGtWduZ10LUkYvFYb+Wo6NRhN+WHsQ07/c\nitbNqmLWp30QERlKi3D7sGmuNfy5SA5JZwklfpiRilY/f4TLj+MQHRCO3QPno0JwJADARBksr3Qm\nNCNFswcms3WHVyMjY9bzjnNNenzy3hhcuXwZP2zcBm8fH+RYEpFlW8Jqn1sYihxOmG0WW0fL5hjp\ntqxsqykrJ5eWyba8co8Tbl3FlgVTYDYZ0XHkxwivUINej2UbZEYWsDIljBJjtMiYzRTWvF8TmU/1\n6PP5WfiGZNswJWYHvwdCFkTOYZdlQyyOrnznV0FIsYZEbnYWrh//G6d//wXPkhLwapcBqNupH7z9\n/AHYsiNMP8DKkAjZEYCTZl4ow12PwNmVYUq4zq9CGVJGhmm7dv4/jBsxBH/9e4FmCkX6MSyGhshl\nx2GYEdKyazZpYemYYy5zwvRjdyBm+1rHIwW7EzMyvDkFbcxu3ty5COZeY/Mqci9j2sS+a8L+wnou\n5L6rUvdQZ9835YZxsvZPBg4ACub/lQH1zz3nRTnmhRaRgYALz09lTFTYBa1Wg5HDWuLqibmIigxB\nzWafYMaXW/KV4r64bzAODpmPV0tWxp3UBDRdORpn4q/me60EQWDmwq9Qulx5vNG7OzLSXZcUjYvw\nMhUxcvF61O82BBtmvY9Ns99H0r2bdo8TWILOZ/LkYeFmGCizGfdj/8Xv336Gr4e1woX9v6FRrxEY\nu/JPNO37Jjx9XuzdeHdv3YQO3XuySokKFSpci8LPmLiaKbFXU7bHl0Ru7LzmVXLeruD4hUyJGKvC\nCRe+E5eED6f+gjPn7mD2lL7o270+3/+EEDAl3Js7s+mfpS3dlItem2dgz60z8NF7YlufGWhRph4A\nwMwyJgbLqzW+l2FPpJiTHKMOk8a8g2uXL2P5r1vhHxjIMiUMc5LDSen+nGE2WHbFbCOTlc1nShim\nI5vDhuTkmpCdlYlDm1fj0KaVKFW1Lhr2GIriFgYFsLIoTGgylzHZv7Ik/vsjFI36P0Dt1xJZVsWe\ncGExHxNhHS8pnDDEmWFFBP4yJmMuHl45iyvH9+HKkb3w8PVDjRadUatNN4SEF7eZS8iCaLgMhaBN\nyI5wZWxDgbmsCv0qDAkWS0kvxZxw6zQEkJubi3a1YrBi805UjImxkWH65ZcxYZgNjaCN4DhusW0S\nrAg9tjirwpVh66SYE8B6nxPeY7j3JSmmRO6+JMq8qIyJE0AduF9wjEmzCNcyJqpioiomfNipmNCv\nBA4evYL3J/8MH28PfDV7CGrWKG1pUq6YQKNFjikXr/+2AOsv7oNeo8Oqbp+gT5WW+VJMjGYDzGYz\nZn48EUcOHMBPW3fCJ4jOz+JqxQQAck1mZGdl4MRvm3B822p4+gXilfa9UaVJexA6mg0RU0zO7w3G\nvh8iUalJMtqOinO7YvLscQLunj+Om2cO4865YwgqHoWKDVqiSqO2CI0qa7MDMG+cF1Qx+eu3HVi9\n5Gus++NvXp4IVTERaVMVExaqYpI/FE7FpLD5kxSEH4msDdZNSgognmaeVTb4CorJDPyw9gCmztmC\nHp3rYMaknggO9ufJElwfE8b/RKCgmEkS7+9disWntgEAZrccgQmNB4EgCBslBADMlJZXZ7QoJox/\nSq6Z/vOnKAoLZi/A5vXrsGLTDkSXLcsqG1lG6/XLESgiQr8UXlsuXyHh+Y9YZLi+JWaTCReO7sPp\n3Ztw+/xpVKjTBFWbtkfpWg2h9/Bi+5jMFO7FemHNxNIIL5eJ1+fdskn4piSpGhc2CdYELAhgVRgI\nAkiJv4sHl8/h7qXTuHvxDDKfpaLcK/VRoW4TVKjbBIGh4QBsFQpegjWBYiJUVLh1OhsZsaRn4n4k\n3Dph5I2cYiKUBayKDQFgSOd26Dfsf3itd1/BOIJrKFA+6GsorpgI6+m5GKWF3yamUAh9TXh+KM5W\nTNhjB3xNxOoc8TWRGtuedoVwloLiDsXk0APnZ6GWQpOSAYALz+/FCRdWUeih0ZB4a2gL9O5SF1Pn\nbkVMw4mYPqkX3hjSgrejbl4gCRKL2oxEhG8IPtq3ApP2rcC1lIf4rvP70BCGvAeQAEEQGDvxY4SG\nFUP/Dq3x7dr1qFq7nsPjOQJSo0FMw1aIadgK6U+ScfHQXpzYuQ6bvvwIERWrI7pGfURVqY2wslUQ\nEkkrbsn3POj7rotuAyZjLlLi45AUdx2Jt64g4WYs4q9fhMHTG5GVayKqSm007D4ExUpX4CkdRR2n\njhxC0qMEdOje091LUaHipYLKmCiSVRkT0TpSaNLhRuUQOH8pDm+PXwWj0Yyv5gzFq3XKKWJM2GMA\nW64exaBtXyDLmI0W0bWwodcXCPT0c4gxodvour1/7MGEUW/iky/moUOPXgXGmAC0aYddu+VtxrM0\n3D53HDf/O457sWeRFHcTwSWjkfzgCIw5QWg7ciXCy3nBN7gYvPwCQZCkYsbEmJuDrGdPkPk0Gekp\niUh7nICniQ+QmnAfKQ/u4GniA/gGF0NoqXIoXrYywstURkTFavAJCrVhQbj6pUbYVoQYE4qiMLRz\nO/QaPBQ9BgwWGQeC/ipjojImVriDMTkSX3CMSaMSrmVMXj7FxNkhwY4qDVLn6KhfihLlScl1VcJs\nMH8GEiHF3HHMILHm16P4eOZGdGpbE7On9EVwkC8tbqOQaPjHAKDR4vTDa3ht42dISE9BxeBI7Bww\nG2UCS7MiQkVESkGh66wysRcuYETfvujapx/envgpy+pYfUr4/idcHxOh34nRoiQwigpgq5AIFRXA\nao5h2pjjrKxMJNy+hk1zaiPpXhlEVJwEY+42PHucgOfpafDw8YOHjy90Bk/o9AYQGg0IgoTZZITJ\nmAtjdjayM9PxPDMNxpwcePkFwC84DD5BoQgoVhKBxUoiqHgEgktGIzSyFJtbRCMw75DCP3DuvjMS\njrFiYb5Sygf9nn61VRZsFQGpvW64MlLKh5iMWII1DUFH4qxYNB+b9x+FjgmVlh1HWjER+p8I6+n+\nuZZXccWCJyMRNkzXmfIcRxhCbKOgcN9L+ZoA1vuJXLiw1D3LHl8TuXGUtiuEqpgog6qYOBuqYiIP\nJysmjJKR+iwTU77Ygo3bT+KLKX0xpF8TkFodT0ZKMQGAe2nJ6LxhCs4n3kKQpx/W9ZyO1mXqAnBc\nMQGAR4kpGD14ALx8fDH7u+XwDwgsFIoJs7ngjm9CcWxrINr9LwmNe6fQ/XNy8Dw9DVnpT2HMyUZu\ndhYoMwWKMoPUaKDR6qHVG2Dw8obBywcGLx8QBCGziR/ncquKCZ6lPEbPpg2w8Mc1qN2goUR2WOE4\nqmJi01eqH7cvr5+qmOQD1LGHTwtssgbF/YGXRjF5kUw4jigQ9phrRGlRmfU4oujYAzGTjlCJ4Ubc\nCM07FtnT5+9h1Ic/wctTjyXzXkeVShGs8sGaeUhOmngOq5KWnYn+O+dh140TIAkSc1u/iXH1e8NM\neACwKiJmYTI2GcXEZNYjNzcX0yZ+in/2/IFv16xD+ap0OK+U8sGtE5p5jJzPQaisCEODAWsUDtfp\nFbAqKEe2+WLDlyGo2z4NAz9JsulvD4Qpq8V2F9ZIKCKiOxELU+6LmmkEsqJ/8halhcxbRkqx4NdJ\nj2OV5bcxViOTyYS3+/ZAxarVMGH6LJ6smEnIJiGajGIiTIjGVUyEJhdhdA63TWjSkTMJ5VsxYY9F\nFBThPSe/Jh13JKuUGyYf46iKSf7w8niyqSgUqFOzNI7vmYq+3eujRdfZmDxrE7KylCVn8zV4YXuf\naZjceADMlBkf7v0eA7bMREZOVr7WpNPpMPXLBfhgyjQM7fYafvlxOSgH//ydjfDS9LVJuKNz80pe\nDiyZ8zlyc3Px3qefuXspKlS8tHh5GBNXO7vaHbtvR3/hevI7niPXWUn6ejFTjtDsw5GJT0rDe5+s\nw38X7+H7+a+jZbNqtIiG6yArbubZeuMUhuz8Euk5WageVgZb+0xDdFA0AI5JxyyS88SmjZ/75Oa1\n6xg1dBiiSpfBzK+WICAoyCafCWA18zAMifCYlufXGVk2xHp6UkwJw4qkPyXwbrMS0HuY8fXBB5If\nA9NPLG8JA0lTDpeZEMgIGRRmozxunS2LYWvy0ChgTIRLlzed5M2CiF0KIUPCHWf5onnYtPonrN+z\nDyFhxRSxM44wJkInWHo8vrOrkPHg9Zcw6fDnzHscSeYEsGU/HDHpiI0jBhvmxQWmcwfwojEmJxKe\nFdhkr4b7AYWcMfkRwCMAF5wwloqXCCXCA/HritGYP6M/hr27HCPGLEfq0wxFfbtXaoSTwxajQlAE\nzifeQp0fRuPPmyfzvaayFcpj2z8HUTIyCp0a1cXBv/bme8z8wMefgn+ICTnPSSQ/FNkJWUW+QVEU\nFkyfgh0bfsGaXXsRElbM3UtSoeKlhjM0niYA0gGsBlBNpD1vxsRVTIkrsrpKjanEwVWJ7VVsDY6M\nI3ZNlVxnKRk5xkSsTSqUmCvL+JIQJNLSn+Ojz7dgxx9nsfiLwejRmXZslfQ/0dIMx9PsDAzetRA7\nr9N+J7NaDMf4xgMlk7EJNwEUMiaAdcPA/fuO4sNRo9C8XQd89NlMGLx9reOYhb4lthlkmTpGNpdl\nQ8CRMfPqGKaE+zFMf90fF48bMOG7J3ilWY4iHxO5LdCFTq/K2Adb1kCKBRFjOoTrEmMf5GSkZaXb\nNAr6P36UgE/HjkbK4yQs+3UrAoND7GJenMWYSIX3arj+IxJMBwnbcaScaeXGkWVM2HrKVkbu/qSE\nyXU2Y+KIrFj3F4wxOfWo4BiTusUKP2NyCEDB5cJVUSTh6+OBJXOHYP2yUfh4xkb0HfENEpPy/qH5\nG7yxrdcUTGsyCGbKjIn7fkDfTdOQnpOZ7zU1btECe44fh8loRPv6tbF/z+58j+kIIsrSfyD3b6j5\nEJ2FnJwcbPhpBbo3bYAqNWvh591/IzA4xN3LUqFCBVTnVxWFDE3qV8DZ/TMRHRWKGs0+wa9bj+fZ\nhyRITG0yENv7TIefwQubYg+gwQ9v40bKvXyvxz8gALO/XoK5S5Zh1qTxGDN0ABIe3M/3uPYgohz9\n1KwqJvlH4sOHWLF4ITrUqY6/f9uBZRu3YsykT6HX6/PurEJFIQZJEAVWXA1nzRANYCckTDlTPurB\nHjRvHIPmjWP4EoXdlGNvaLAzTDhKNssSkxfOLXdt7dxrRRKiXDcp/srLDmt5r9EIjuk/4BNnbmHY\n2B9RrXIEvp03HCHBvrZJ2QCAkw/lavJ9dNsyE1eS7yHAwwdre0xG+3JNWNG8cp4AtjsZM2ae9Ewz\nliz4EmuWLcXwd8Zi+Oh3Qejotlwz36TDfW/j/CpjymHyl3BlLp3S4qO+/ihXLRcLttkXEihnptHI\ntMmZcIRjO+KYKtYmt2Yxs4yULLfNaDTi6qULOH5gPw7v+wuX/juL1p1fQ//h/0ON2nUVjSm3djlT\nDiuTh0mHHlt88z7SXnOPhIyScXimJamssGKmHAYvsRPs/sOx2H84lj2ePmcLUMCmnDOJaQU2We0w\nX+AFyGMSDRnF5IX3MVEVE3m4SDEBgKxsMz79YjPWbz6OZYtGoHMHy5+JhGICAM9MORi640tsu3oU\nBAh81uINTGw8GCRB5ksxYY7v3LyJWZMnIfb8OYz9dBo6dO8Fk+Wn5ArFJC2VQP9XgmDwpLDhfLKi\nHHgMXgbFhKIopKc9Q/y9ONy/exd3b97AnRvXcS32Iq5fjkWJyCi82qQZGjRrjsYt28DTy0v0fKTm\nVxUTqIqJnXCHj8nZpIJTTGqFFmXFpDAoJM5KouZoCC8zvz0OZFJKiFgd9x9O6no763OQc4Jl7+4i\nIcWMIiJUVABW2Thw4gaGjVmBVk2rYOHMgfDx92FFWMdYjoJipsyYdWILphxYDQoUuldqjFVdJ8Lb\n4AdAWUgx4wRrYpUZay4RI2XAsYMHMevTKTAajXhv8lQ0bd0WnO10OM6ufDaFq7yYBYqI8JhBz9p+\nSEkksfbwUxSPyvvzskcBsMcR1Z5kZXmtR6qNoihkZWbiaUoyUlOSkfokBU9SUvAk+TFSHj9mXx8n\nJiI5KRGPHsYDAEpGlUKJyEhElymH0uXLo3zlKqhcrTp8fH0l5xJfj7J1AuIJzFh5oXOpA46yBE95\n4cuQgkyy9Jh5jyNM3qZIMWHAuy8JQojt2UeniDvBqopJ/uCMgdcDaAYgGEAigCkAVnLaVcVEbjxV\nMVGkmECjRVp6FsZOXo/Dx65h9dK3Ub9ueUs3W8WEPtZj1/UTGLh9Dp5mZ6BySCls7vM5KoZEOUUx\nods02L19KxbOmgmDhwfeHDcBLTt0AkmSTlVMPujvjX8P6/D5yjTUb2VEXihsigllNiPlcRKSEh4i\nKfERHj96hOSkRKQkJSHl8WOkJD/Gk8dJeJKcjCcpyQCAwOBgBAYFIyAoGAFBQQgMCkJgcAiCQkIQ\nFBKKkNAwBIeFIbx4Cfj4+eV5TaTWL3U+SvqqiglUxUQE7lBMzj1OL7DJaoT4AIVcMckLhVMxcTQ0\n2K69H+SozTwUEiXmGlHFRGLcvPoJZfILoQlHWA8AWo24rMZ2rxzuTsSbfzuN0RN/xrv/a4OJYztD\no6MVBsISQiwMKb7+9BG6bZqO2Mdx8DN4YW23SehUsRkAW7MN/V6Q2l6Q6p4rz+xsnGvS4M/ffsM3\n8+Yj/dkzDH9nDF7r3Q/ePj42Jh0uq6JUMZn/iQG/rtDjncnZGDg6G0JI/eEqMcGItQmVC7lQYIqi\nkPI4CQ/v3cODe3GIv38PDx/cx8P79/Eo/gEePYzH48RE+PkHIDQ8HGHFwhFarBiCw8IQEkorGLSi\nEYrA4GAEBYfA08tL9HwYOJqW3xHIKTPcMFxAqCSYRNtE98HJQ4kBbFPZy+0cLExXL6fg5HsHYrmH\nNCmFRIliwuvngJndHhm57qpiYgNVMXFsRgUyqmIiihdAMQGA+wnPMHjUUhAEsOb7t1GyRJCkYgIN\nvc/OsN8WYPPVIwCAqc2GYXLToQCkc53Yo5hY2RUNTh45jBXffo0Thw+hU49e6DZgEKq9Uof1H3FE\nMdmyWoc5EzzQsXcuPl1sm4Lf1YpJVkYG7t25hft3buP+3bv0a9wd3L97F/H34uDh6YWSkVEoGRmJ\n4hERKB4RieIlI1AioiTCi5dAaHhxycgXR7z8VcVEVUwkx3FERq67qpjYQFVM7JvJDtkCMOHYkzzN\nEYVEzHlVkfKiQLHJL2zsBmIJ1gR1QkUFALSCKBxOanqTyYxZX/2O71btx8rFI9CudU0AXOaEb+Kh\nKApzTm3Hx/t/AgUKr5Wvj9U9JsPfw4dNuAYAJlbZMIge0+/pMYWKCXMMAA8eJGHD6tXYsv4XAEDn\nXn3QtvNrqFC1OgjLn51QIWEgPP73OIkhnTxRpaYJ6/56DiHsiVqRUkzS09Jw7/Yt3L11ky13bt7A\nnZs3kZ72DFHRpREVHY1SZcogslQ0oqKjEVGqFCKiIvh+HCIOoM6CGdLZbylK3CuYcmFWBDnFhIGU\n0iHWTyjr6AZ9rLkmnzsQkxCYDUWTsOXDpCNWZ88Gf4XUCdYdisnF5IJTTKoGq4qJPTPZIasqJi+6\nYsLgwIkbGDRqGYb2b4LPPuoBrcGDL6PlbICn1eOPm6fRf/scpD5PR4XgSGztOxMVgiuwIs5STLgs\nyrkzp7Fr62b8uXMHcnJz0KBpc9Rv2hw16r6KqNJlILzqQsXk6ROgUTlveHhROHYn04aIUqKYUBSF\nx4mPEB8XZ2E+buPurVuIu3MLcbduIj0tDVGlyyC6TFlElyuH0mXLoVSZsoguWxbhxUuAJEnZP1V2\nTlUx4UFVTKAqJq6HqpjYCVUxkZtTVUzyrZhAo0Vi0jMMHLUUFAWs/3EswkL9JRUTALiZ+gjdN32G\nC4m34aP3xE9dp6JrJdrvxNmKCVNnpihQFIVrV6/i+MH9OHHoIM6dPoXMzExUrl4d5SvFoEzFSoiI\nKoXwiEgEhYbCzz+AZVeaV/bE40QSu85kIqKU9XOiKArZGel49jQVyUlJSE5KRNKjBCQ+jEdifDzi\nGb+P+/fg5e2DyOhoRJQqjcjoUoiKLoOo0mVQqmxZhIUXh9ZyfaUcZVXFhA9VMYGqmIjAHYpJbIqy\nfcacgZggb6BIKSau8iuhZ1Ig44BviSIPcrkfowMKCXd8KYVETEaqj1h/qb5SdRYIf6AEIXPjl/Mx\nEUbqsEqIiB8K06YRvAKsT4kJJKbO3YY1G49h48p3Ua9uRXp9Go5vA6PYaPTIyHmO4X8sxq+xBwAA\nk5sMwrRmQwGSdrxkFAomcscE65xS/idcxYT5E2XqmD9O7p+rmdIiMeEhYi9cwLXYS7hx7Srux91F\n/L17SH6chKyMDHj7+MLLxxspj39B9vNGKFb8Tej1e5GTk43MzExkZWRAbzDALyAAwZZoldDwcIQX\nL4HiESVRMrIUSkZGomRkFLy8ve2KJGFQEAqJPUqHmLIhlBEbT8k4jsCe6yOmoEgpJvbuHCyM1JHb\ngVjKZ4U7h6SvCfe9IzsPK4k6FMML4muiKib5g6qYKBlHVUx4KKyKCVO3bc95vDXuR8ya0g8jBreQ\nVEwAgNJoMe/4Rkzc9yPMlBmdytfH6u6fwd/Dp8AUEy6Ezq/Z2dnIzEhHZno6Fn4egm2/BGPEu/EY\nMDwVOr0O3t4+8PT2Zh1LlSQrUxUT+XEcgaqYQFVMOHCHYnLlSf73B1OKSoFegKqY5DmDHbIOmHDs\n+cGJ1YlF4Ej9UJUoFLIyIm2sjHh/0R9cfiN3JBQSnhJjkx3W8nXUam1lmDqhogLYmnm0ely5/hBd\nh3yNjm1q4MuZg6G19JPKebI37gL6bZuNlKw0VAqOwva+01EupAx9uiIhxVYTjpYnY6JslRfmz4/5\nU+TmQxH+MYqZI5g/2LUrtPh4rAE9B+Ri4bIcnoxUBAivTkIhEcunIewjP679CgnloNIgVO7Erpfw\nenMh109uXqVwREHh9nNkB2JuVldhFI7YDsRCGaftQCymoNgTdViETDqqYpI/qJv4qSiSqFS+OI7v\nmYpLVx6gS795ePpU/kfbpkxtnBy2GFVCS+FKchzqrRiNP26cKKDVKkOFyvQN8foV9WerQoUKPkii\n4IqrUXCMSVE34diTq0SsnxzjIcWUOGjusdH4ZU1CMmYoOdgwJmJJM/iMiXWDPplcJ0LmhFunsWVD\ncnONGDt1I46cuIZd6z9AREQoPZdEzpO07EwM+X0Rtl07BpIgMafV/zCuYX8QBCEaUswyJeAfA1yG\nxGLKEXlal3q6FzNDPEkhEBMRDE8vCjcS+Xvm5IcxEctxkVcfMYgxJ2LMCCDPdDAw867hWTETAAAg\nAElEQVQT/9qJXTchG5JfxkUIudwpjuQ6UZL5VYkMY5IRa3N0Px0p5sVuxoSBEoY5PyYdlTGhrqUW\nHGNSIUBlTFSocBg6nRbfzhmCgb0aolHHGbgQe09W3tfghc09J2Nq44EwU2aM/2sZhm6bhaxc22yr\nBY3AIAphxczIyiRwP0796apQocIKkiAKrLga2rxFCimcpP3ald1VqYwSO2heTInYHjeKGBNpPxRK\nck6Z/XTsdIy1gazzq2Ve0sLkMONyZAizgCFh16zgq8tswQNgwqg2iAz3Q+vus7B11Vg0rF+JbmOY\nE6PVZ4PU6jGtUT9UC4vG0J3zsfb8XlxJuout/T5HST8L42K5lmaK/yRp5jwdmy3+NEwb+yTP8bNh\nWQEmvbvlSV7KDbRSTA4SH3ng5lUTypaxJloTshVC5oOWyZsxsfWHkPc5UQobNkTEYdrKdFj8gcBl\nTJjry5fhjsuszQQd00l0bi6Y85XzOVGSZVaeTRGMzfxEuXsUMd0JB2Q450cK2hhZ7veSlbbIEIQI\n0yX4XgrHE7wFM4tgBtv7JHMtxO6fwjbuvSKvew4hM6c9MioKBdTHLhUvDfp3fxWrvnkT3YZ8hT//\nuZCnfM9KjXF06AJEB4Tj9MNrqLv8LRy7d6kAViqNipVp2v5KrC4PSRUqVLxMKEo+JqpiouKlQvtW\n1bHlpzEYPPI77Pzj3zzlq4eVxqkR36JFdE0kpKeg5ar3sP7C3wWwUnEwislVVTFRoUJFEcWLa8op\nSMg6Ycm0KcnqqmRORaYcBaHARqO4rNi8SjLH2gOpTf24dWweE475yfJKMHNqZb6yzHkJ94rjdjEC\njetEY+fP7+G1gQuxUkOiY5uaVpMOwDPrAECIwQt7+s7A2L+W4rszv2Hglhm4/eQBPm48EARh2dmY\nNSNwzCIWR1jGrMKYL7hmA5LgG23kTAoAUKUKASAI165ooCNtN/MTmnT4G8Upd2xVYhqyB2bBeZEc\nY5XQxMWYHSieKYdv3jGJmBaYLwvjMGoWmiE48iRrBpHOnSJnnlGSIJl5shSOw5p2uBZUwbpsTCgy\nMhQvLw5/buYz5jkJW9o07HXW8Ppy+8uZe+wC8xt3ZRCEiiIDlTFR8VKi3itlsX3Nexj2zjLsVWDW\n0Wm0+Lb9u1jYZiQIEJj8z48YtmMucky5efZ1JipVppWmq5f16j1ehQoVLFTnV3vhrjuoo/vhyI4p\n0c/ebdjt2f9Gso+0gyxlMvLrufL2hB0L63l1dpwzKdJfyKKIsSKWOSgmQZryGW2ZE8D6jTcC9WtG\nYfPKd9Fz2GL8vmECatcsTc8h4hAL0OHM79XtitL+YRiwfQ5WnduDu6mPsLnPNAR4BtmeHsOUUIwT\nrMX8wjkJhhVgHRjzOMGQEKBYeC4eJegQH2dGdGm+YiSXEE0sLFTYR84xNj9gmCGrgyvHSVjg0EqI\nOAkLGRKNZQ8XkwgbwpwPwyyY8vn8JfuTlP3dS32YdB+eU6xgrRrk2g4hcIhlzo/n3MuyNMyhyPeK\n6SdkbnjL5X8PWFZG9HoLwe0r4+zKjiOQkXOQZfswdJHI9VfSPx/gJom0JxusCuVQGRMVLzUa16+A\npfOHocuA+bhxK0FRn64VGuDgkPko7hOE/Xf/Q4Mf38HNlAcuXqkVlWPo0OUrlz0KbE4VKlQUbhAw\nF1hxNV48HxNXaqh2JfhxwLfEnoRojiZPEzIlcmHHRjFWRXgNFPijKIGobwk/XFjW/8QC0Yc7yTlF\npIShm2YS3drXQHxCF3QduADH/pgCv0A//hxmwQ6rAGoXK4sTry9C51+n4XziLTRY8Ra2952JBlE1\nOWvl+0UIGRSuDFOTl48JAFSOycT+fT64HKtDx078RFjWU7f4jyhgQ3isipIkg/aA8athwnIF7Ai9\nDj6LwjAo3GR1TIIwIXPC9ZsxUcz15s/FPT8l11cK9vucSMlLO78wNDmzbQH382MTqQmYE94fhY3/\niZlfz2ljfHlItprDYlHMd5Y/rvN8TTh1Sr5jzvZRcTGroiJ/UBkTFSoAvD28FRrXr4Ahby+FWeHN\nL9IvFIeHLkCHsnWRnPUMLdd8gA2XXB+xExND5y+5HKsyJipUqKBBEOYCK67Gi8eYKIGzfUscSabm\nKOQYExkZ2+RpIkyHkCGxJ/29yPyUSfm5ExoFPiakyHhiLApEHwCV9RXWMam6CRJfzxqIlt3nYP7i\nnRj/bifrU5VJ+inRV2fAjt5TMXbvUiw5sxMDNn+GpPRkjHm1B8sSmAUJvzTcJ3iGJWD8UBQ8kVat\nkg4AuHLZILlDrJhviOROsdyLKbcjNrddDGK7TDNzMsnmBAwKPb2QRWFuS1b/GYY9YW+KQh8KWM/Z\nhimh8t61mOunIdzhWYwpsdmgW0bG1lmQPz5fRuB/wpFhEscJmRM2oZxImxkC5gO2kTos88Jlk6x0\noWDlGu4BT1b8d8j0d8DXRMWLhEgAqwGEgf5mLAOw2NHBVMZEhQoL9Hotfv7+Lcz79nf8e+6O4n5a\nUoNv2r+DOS3/BwAYu+cbfLJvBShnK60WVI6hw4Qvx3qqkTmFBCaTCRnp6chIT3f3UlS8pCBhKrAi\nglwA7wOoAqA+gNEAKjt6LkWTMVGhwkGUigzBV7MGY9DI73DuyJfQ65X9RAiCwISGfRDmE4T/7ZyH\nWYd/RkLGE3zfeRxIwrnJ0IKCTAgPz0FCgh537+pRunRO3p1UOBUpj5Ow49dfcOrIIVz8718kPnwI\nDy8vUGYztFodipUoiWqvvIJa9Rqgedt2KFaipLuXrEKFK5FgKQCQDuAygBKWV7uhKiZKdhBWAm6f\nvHYO5tVJOJcqkOWFqkmNZzSKyEiYfbjygvXwzDZCHlvOpKOhCV5KzDvQYrphzTyippe8Pwsbh1iG\nt2bOhTsuU6djnOks2r/Jep36dquHnzcewbzFOzDp/S7WcbmUPCG4hhYa+vXqrRHi6YM+mz/Hj2d/\nx+OMVKzvNRWeOoOo46eYeScvEIQZMVUykZCgx5XLBpQtkym/CywDG6dsBbvBsutUsD4xUw5z7QnG\n9sI37XDfs6Q/e5mttyfG5EVa1iEXAqxk/xs5CE043K/uo/gHWDB9Kvbt3oWWHTuhY88+mDDzC5SI\nKgWCIEBRFNKePcWDu3dx4d/TOHnkEOZ/9inKV45Bj4GD0alnH3h4iPkGiWdWEwspZs1OIj60wjax\n5GnCEGKhszC3TsoJFnCCIyw7kIQJR2xvG6ETrBvDhunpmaSJ7qcuC8L3QyGiAdQCcMLRAVTFRIUK\nAQiCwOLZg1Gv7TQM7N0QpUqF29W/c/n6+GvgF+i8YQp2XDuKDj9PwI7+s+Cr93XaGmMqZ2Hf3wGI\nveSJTp2eOG1cFeKgKAqb1vyEBdOnot+wEdhz9iICAq25axglhiAI+PkHwK96ACpXr4E+r4+AMScH\nh/7ei19WLMOimdMw5K3RGPTmKHh6ebnpbFSosA9HDx7GsUOHlYj6ANgEYCxo5sQhFMB2PKDMyWud\nMYodsnY4v9r7tGjTX4TxsIcxMZrEZXhOq3wZ8eRpEuPJMSZCWd4c7GMj/SrCioiyIHmAEAvhtbAq\nBMNicBkONk09wT/mJmFj3ustDpIa/jFPlqnTW5Kokcx4HHOLpf/Hs7ch5Uk6vl/0hmVcTsY2jYbf\nn5mT85QXm3wfbX6egPi0ZNQrUQm/D5qLIE8/0Sd5SiY1OgOuQ+vSpeF4e1R5DBmSgJ9WXZUO8+V9\ndwUMiZBBEesvdSy6QDHnV5L/yjo6a2xkKMu1ZJ0yOeHCJkrLqzNBayNjtsgwobbCY7E6Zi4TRXBk\nmFf6TU6uEdPGvYuL/53F7CXLULFKNRtnVyV+4BoCuBZ7EUvnzcF/J0/gnYmT0X3gYJAkyTq/Ml9z\n4TG3jmEzWMdn7rYDFmduxg+AOebKCB2mSZFxmAR2TJ2wD7fNhq3jhtdLOVOLsb1yW3fklcohvwEP\n+WQ8hIwJGTgAKJj/V3YJDzIK7gGlpHcgYHt+OgC/AdgNYFF+xledX1WokMC4Ue2xacdJxN177FD/\nmNBSODR0IaIDwnEy/gparnofiU66eVSpkgkAiI1Vn7pdieznz/H+sEGIv38fa3btRcUq1fI1XoWY\nqpj/4xosWrUOm9b8hKGvtcedG9edtFoVLzPcnGCNALACQCzyqZQAL5NiQpnt14rl+lAUXcxmulBm\naXlGhlco8axMYrLCNlFZy3iicwmK0UQXkTbKRNFsCTOeiS6UmVNyzaByzWwbckx5F2YcS18q18yO\nZ9tmYguMRrooOT9WVu48LeMwstzPjSkW2ZAgHwzu0wjLfvrb9jMWfu5i3wPKjDIB4Tg0dCEqBkfi\n/KObaLZyDOLTHtnmBoAp78KRr2IJGY6N9QZl4q7DaCkm22Iy8ovouVv6M8eMrJLvldy4NteJ4hS6\njbCUggQFEhRI69eLopkSM0XBaDJj3BvDQBAklqzbCE9vb7aN+ernminkmim2Xq4wsiYKiHmlDlb/\nvhdtXuuKAe1bYvXSJcg1mWA0U7witi52zdDADA0oirQpbJtFltdmKdZroLFh7Jh+DJg+7Hhyfx0E\nKVIIvo+WHJg+Kl4kNAIwCEALAGctpb2jg708phxJBUNCkZBqE1KTSmRFM6xK5AuRk7W0UcJxRWRk\nTTlS5iNIm3B4Zhshb20y4/D1JBy6mgijiR4r1M8DJQM9USc6GMUDPAGNyI2GMeEwfLWG5bFZEUJn\nuWGyJhzBsUgbodPz6/UcMw1jwmHGYWU5Mqx5R49LV+6jXe95uHNuEXQenhwZS3/GhMP04ZqhGBmC\nxKP0J2i77iOcf3QLpQOK468hC1A6sDgrqsRRU+jcVqJ4fSQkGHDr5jGUjs60DCT4fspR5uzkZvH3\n3D72gHsNhKYc5lXD+fyYPyzLNTSLmGlcZcphjo2c7zdjplk48zOcOHQQP27bBb3BwDPfWH8m9psz\nGZMM83WPu3UTH4wYgohS0Zj59Xfw9fNnZbSc34KtmYdvtuHWyZlgGNONRiDL1NNjMnX8zMKkiNlI\n1vHaJmeOi76XqimHepiZVGCTFfcKBVx4fkVLLWWewByFkJFweB2Cp0Mlc9qwIdxHJQubQdHFliVR\nyJRIyDIsCUU/AgJcVoNhR3jshxkwcZgNM4XktOdIe57LPumdj3uC5ftvYP/lRxaWxcKAWPrCZB3T\nhoEROy+G4WBYEPbYaHN+ttdJprBP85Tt94cyo0rFEihZPBD7D18WPP3zn/ZF2TKOTDFvf/wzeB7q\nlqiI26kP0XTlu7iWdIcVVZRxkeKXKlUyAACxlzyl1yV6rkybgB3hyptMdGGZQREGhik89oOSn1O0\nCJgTkXMnLcWezJNiTIINs2BhIXg/SQrYtWUztm9Yj69Wr4NWr+exJCYOe2EWfl0VFT6DUjy6DFb9\n/jcCgkPQv20LxN25bWVtRNkTC3MiYEekGBJKwHQwDImkLEXCDLpY+4uwKjJtDkGOKcmLRWEYmQLY\n+VaF66FG5ahQBIqi8M/lRzh3LxXvt6tk096lZgS61Ixww8pcj45ta2LPP+fRplXNvIVlEOTph78G\nzUXnXybjUNwFNF31Pv4cPA/Vi5V1aLyYyhn4++8gXIr1RqeOBfe0VNSR8OA+po9/H8s3bUNwaJhD\nrIi9MHh4YPK8r7B+2RIM7tAaX6/dgOq167h8XhVFBxKJz15IFC3GRIVLcPXhM7Sdtw/vrD2NiKD8\nO1s+zcxBt8UHcCvpxciS2bZFNfx94JJTxvIzeGP3gC/QpkxtJGY8QYuf3sPp+CsOjVUlhmZMLl3y\nccraVNAK+NRxYzDwjbcQU6NWgc8/6K23MXXBYrzdvydOH1UUnqlCRZHDy6uY2OMMK+fYag/ETBRs\nm4RJh9smJavIfCNtwmHMNxA4pJpyTVj4eyyafb4HXWtG4NxnHdCrdqSt6YXTX7JwHFy9NSRaVAhD\n48//xLYz9zimIcG4HIdY+85ZQbH5bETMDxbUiInAlevxyM213WXYEXjrPbGj3+d4rUIDPHmehtar\nP8CRuAuS8jZOoZb1VYlJAwDEXvayNUMpMaWImrYkTFR2FRGzjtzcgvNS4gTLGBvEwJgY7AFjHtm5\neSPi78Xhf+99aOPoyndm5ZtVxEwvVhOMuIyYecdEAU3adcTcZSsxdugAnDh8UMSRFha/dAImihA3\nUwkcZMWuj5QTLNcsI+UEaxa5vuzchLVImmC4bSQpuSeWJOzpUwDOtARB8pIGugNFaRO/l1cxUZEn\n5v0ei+1n7+PIJ20xulUFaMUcWB2AhiQxplVFbHu3KT7c8C/m7Y51yriugpeXASWLB+Lm7UdOG9ND\nq8fm3p+hT0xzPMvOQLu14/H3rTN2jRETw0Tm+DjFNeplR/qzZ5j98QRM/2oJ9Hp93h1ciPrNWmDe\nD6vw3uuDcP7MabeuRYWKgoaqmNgL4ZOgGJQ+pXNl2WNbdkPS6VXJnCJFGBLMDQW2shVmjGlVAXs/\naIEyIT4QeP7xCtd5VrKwzIe1X92oIBwY3xrL9t/A8v3XrcyJyHqsaxa5lo5cbynmSgIlwwOR8Cg1\nT7k85+dAp9FiXY9PMLRGO2TmPkfndROx69oxAOA5uUohKMiI8PBsZGZqcPeuJWLIEWZPJHRXWCiZ\noog9kWBH5NhIbqi0EIxzpqLTgy2DIBYm/MPXi9CweStUq11HgimxZTikHFvzZkjkGRgTBdRp0hwz\nFi/BO4P64M6tmyIMDN1H9PzknH7tcIK1fkVsWShhP1nkJ2y4IJiIIhCi7OY8Jk7Fi/1JqHApPPVa\np7EkUigR4Ild7zcv9E/8QYE+SE5xvk+MhtTgxy7jMbJOV2SbctF9w2Rsit2vuH8VhjW57O30tb1M\nSHqUgJ9/WIYxH09x91J4aN6+I0Z+OBGj+vZA6pMUdy9HhYoCQeFXTPLj2+Gob4ij/if29JPyGxEe\nK5VRwLzYsAUmscJnLcRYEisLYgkBdoCt4TI25YJ98GaTsiKsDYc5sTkfGX8d5qNhmSaOrD3gfJ4G\nvRY5SnxMSPts5hRBgiC1+LbjexjXoA+MZhP6bZqO1ef/strpZRDDOMDGSjjAyvmWyLEkTHfmGsqd\ng1BG7jfhDF8tCQh9H+T9K/isxtIFX6Jr3/4oHhnJGY/PTMiF7hrNZhjNZlHGRFoGomNzWRETBfQe\n9gaatGmPj94aAaPJJMvOSCVY44YU214LW58Rhk0RMlNifijCtnyjCLAX7kBR8jFRw4VVAAByjWaY\nzBQ8NGoeADHk5Bph4CZqczIIgsCXbUbBW+eJGQdX4fVts/HcmIM3aneW7ccwJq6MzHmY8ATrNh3F\n2XO3ce1mAkoWD0S5MuEY1KcxalQr5bJ5CwoJD+5j58YN2Hms8PpyvDd1Bt7o1hHLF3yJ0RMmuXs5\nKlS4FEVDMclvUjXJcZ2kGTJP6lLRIHmtR0pGTlZEhs3qKszmajJjyqb/YKYofNGrJk+GWTvblzum\nkp3LbBdoXY/lScxGFSI556WReALjnbuGX2cvMyIFzlNbRmY2vLwcdIgUZj2VEiMIfNZiGLz1Hpj4\n11K89ds86DQaDKvRTrIPEzLsbFMOw4Ds/ecChoxcgs7taqF1s6p4e0RrPExIxcUr99Gu52z8b3AL\nTPmoJ/R6LdtHNDpB7jfKfG6kE562AQjTpYv5P5g5X+/VS79Hl779EWTJWSJMfszkMeHmMxFLymbP\nCoVjkKzfBf3KZKLVsolytZjzwyoMaNUEdRs1Rp2GjVlZ7twkc+0p5oXkvXLfM0++DMtBcTfos7xn\nrh3D3HH9CxiWRSN4guZdb8tpKdpqgGEZ5e7J7PnJyRDMQvKeU0WhRNFQTFTkC/tiE7Du+B2cnubw\n1gZFHvEJqSgRHlggc01o1B8kQWDC3u8xYvtcGEgtBlRrJSrLRuZcpiNzxDZvdhRLV/6N6XM3Y/2K\nd9G8IT+pXs8u9fDW0JYYMWY5+g77CpvXvA/S3pDPQoCM9HRsWrsKv/x1wN1LyRPFipfApwu+xsej\n38LWQyfg6+vr7iWpKEQQcxJ/UfHi3UlUOBVpWbkY8eMJ/DDsVYT6erh7OQCAlYdu4mZimruXwYKi\nKNx7kIKSJYIKbM4PG/bDjBYjQIHC0O1fYM+NU6JyopE5TsCNWwn49PNfcWj3VDRvHCMqE14sAFvX\nvI/klHQs+m630+YuSGz/5WfUbdgIEaWi3b0URWjeviPqNGyERTOnuXspKlS4DC+fYuJC5zsb2BMm\nLAAvHJPtI+PsqSQMVhAeDBOFWdsuoEXlYmhT1bKhnMDZ1SZM12y2yjBrFYQcixUWvLBjvkMsg3/v\npGDjyTgbR1he2LAd1zK/ePjoGQwGLYKDOE+o7N4cYjupyodG8hJQMXUiYZqfNB2M8Q37w2g2odem\naTj78Lro+lwRmfPN8j8xYnALlIkuJiun12uxdMFwfLFwB1Ke2BG1JOoYS9lNv/PDYAXJwWRCXOl2\nCutXLMfAN0fxZKQSmonXSTuiShdhX7k5bWXGz5iNP7ZtxrkzpyXnYM9FuIeOSMi09bytjrBSIcCi\nocRKwoalfhvc35AjcCQ5WxEFs59UQRSXn4vLZ1BRaHH3cTpWHryJz3vWcPdSeOj+SiS2/Xvf3ctg\nceHyPVSt5J59gGa3fgP9q7ZCek4WOq6fhLupCTYyeUbm2Innz3Ow5pdDGDW8tSL5yhVLosdrdTH3\nq51Omb+gcOroEZjMJrzauKm7l2IX/AOD8OFns/DZB2NgLuxx9ipUOABVMVECsRTbQihN8CUFuXDW\nfMzJC88VMB1RAZ44OKk1wv08bMJybZgSkRBesfBeqWLDnMhcg0blQ3D54VOkPc+Vl3cGuOG9TBE8\n3R09eR31apcVT/gkl1ZbMA7LlMgksmLA1BPQ4seuH6FFdC0kpKegw7pJSHmezhu3SkwmAAnFxIEk\nVbfuJCI0xA9RkSGKv8v/G9Qcv//5X96D55PdUpLMSyjDDZXlsgqbf16NnoOGgoJs/kAJFiOv5GmQ\nbBNPVa+EeaFlTBTQoVdfaLU6/LbpV9G5hWyIkp2WRa+lRNgwt02qj1NChxk4I4S4IBO2uQFqgjUV\nRQIEQaBCuJ+7l2EDvVaDGpGBOH27cCSUOnL8KhrXr+i2+Q1aPTb3nY6qYaVx+fFddN8wBTkmq9JW\npYpzTTk3bz9C2egwu/rUqBqF23GJePYs0ylrcDWeZ2Vh72870alnH3cvxSEQBIEPPpuJxZ9/huzn\nz929HBUqnApVMeEiP4nVlMCepGl59VcqI5ZcTMCcQIRNkZRV2iYhK8q0iJxPtYgAXEl4pmxse8Ay\nI4SiEJaMjGycPHsLjepXUrbxmIjt3IYp4TxRKioUCX+DP3YNmIMSviE4GHce4/5cwk7JmHJiY33o\nEE6pJ0KFT4s5OUbo9fYF7Ol0WpSNLoZbdxPF/aOUwI505bbp1UVYJ5FU6wwO/PUnKlevgZDwcDv9\nQ/LaxM9sk0hNOvmaHCsjJ0OXmvUboWylGGxc85PkOhUxTDYp6m39T2xlbX1T5D6nFwb5ZFXcuZlf\nUUqw9gJ9Y1S8THijWVm0rCzveFkQ+OfIZdSpWQb+/l7uXgoi/cOwuc906DU6fHtqO378j46EcXZk\nTmiIH5Ie2x8VFRbqh8QkFyiTLsDurVvQoVsPdy8j3xg14WMsXzgPOdnZ7l6KChVOg6qYFASU2NVl\n081L+J8okeFA6Och5vchtVmeKNPBQM6/xEHUiAxERaVmJhs/EZoNYZ9eGHaEy5DY+JNwmA62jcCu\nvefQoU1NehyxSAKWQdHQRc6nhMOA2FU4/eqVrIolnd4HAIz6fTFOPLhK+5lUESRaE/OXEZ67BEpF\nhuDmnUegKMquqAd/Py88zcuUY0+6fjt9FWzSsYs8rZspIOt5Ng799Sdad+4i41cixVrk5QsiNZYy\n/xF7IoEAoEqtV1C6QkXs2rxRVEYsJb2wTsk1FY1wkojOER1HwfYKNijiPiHOBnfTS1cXV0P9xF9C\nbDtzD6kZOe5eRqGH2WzGjt3/olunOu5eCg/Da3XEqDrdkGPKRY+NU/AwLRkxlZ0XmRMVGQKtVoNb\ndxLt6peba4JO50SHRxfh+KEDKF85BiFh7mfknIHBI0dj7bIltCKpQkURQOFUTBzdfK+wwZFIG9nx\nlDMvovk+AGRmGzF8+VFQJrH8KHbe2JSwIvlkTpwCscgbBjJ5SI6dvoWgQB9UKB/B9yvhMhEaLV0Y\nloTUWosUUwI7i8g4C9q9iyZR1RGfloyBW2ehcgxterkU6yOdG8ImokiE/QHtWNmsUWXsO3jJrsv8\nPDsHHgY9y1QptrUrYFHk/BjyAi+HB0Xh79270Lx9B7v9SPjrEeQLEfn5mCgKJhEZeQZFCbvCL01a\nt0VGejr+O3XCZn1CXxOlRep6M9E5wggdxVDCgChh1VQmpUhD/WRfMhy+mojqkYEI9HZw35eXCD9v\nPIL+PRu4exmi0Gt02NB7KsK8A/HPnbM47b0YgPMic7p3rouN207kLcjBg/gnBZa2Pz84+s8+NG7V\nxt3LcBpIkkSvwa9jy9rV7l6KCjdCdX5V8cLir4sP0Tom3N3LKPTIzs7Fph0nMaBXQ3cvRRLhPsFY\n0/0TECDw053lQKkDdGSOE+4bHdvUwumzt/Aw4YkieYqiEPcgGRElCy5tvyNIeHAfT1NTUSGmqruX\n4lR06TsAf/+2AxnpdmTfVaGikKJoKib5NQO50YykKMzSnmRuAkfUU7eS0aBcCL9Npp9oErUCwNpj\nt7H5zD2bekJDgNAQ4mYZMZONkBKWkhGYcbb/8R+qxUQiOrqYuKmHNeEIQoNFnFbNlBZmSguTpXBT\nf5soHa9w29j04DImndZl6mFi40EwU2aQfQYgEym4G+clfr7sRcw7pNjLy4De3V7FkhV7+eNIIO5+\nMry9DAgKVOjj4qBjozC0Ve46iTl3nj52FHUaNAQIwsY8IwUx84qwjTHbcAsDqeuM7XIAACAASURB\nVHo5s46YjHg/+icZGFYM1erUxf49uxWflz2Qc0KW2gpANkxYND29k80zdoSfFwWQPEOba4vrz0XF\nSwOzmcK5u09QK6rw0+2HriXhSYb7QiBXrjuEEYNbuG1+ezCt+TA0iqwKs3c80G0YLl1yTmjzx+O6\n4bsVfyH+Yd6syYkzN1C7RmmnzOtKnD5+FLXrF14WLD9o06U79mzf6u5lqFCRb7y4iglFObTpFwtX\nbvymJIU8W6cgFDg/c3KQk23ClO7VEORjyNc4BcGcXHn4DOXCOJvmaQi6iEEpc8JNrMYJCeaFCJMk\n7tx7jFP/3UL31+qDILWARkMXGUdZNjSYE+LKMCXWJ3qmXscWW6dDSz1vHHnmREMasK7nFBjM/kCF\nXVh54XfpsGaxsGFuGDQH0aXC8ObrLTFhys/i15ZTt2r9IfTsWi8fn7gVDoWWyoDLRJw7fQrV69Tj\ntNkb1itMD0+zIPJhwkKGg8+ccNdhuy6ZDfoE9U3bdcDR/fvw/PlzmznlNvET2+gvr0RrgHx4sFXG\nyanppSDFkL5EUFPSq3gh4aHX4L12ld29jDxhNlO4cD8VNSLdw+z8sPYABvVpBC8vGQWukCHSPwwD\nA6cCAHbkzMLNlHinjPvJB91w+Pg17D8cKylz41YCTp29hb7dC6ejMIPs7GzcvHoFlatVd/dSXILA\n4BCUrVgJp48ecfdSVKjIF1TFpKjBlUwQAzn2whEI2IzLCc9QzN8DQb4G27lsmA/ChhWxSaym1VoL\nK6eli4BNyM4xYcXaA3hrWBtpvxKObwkTGmxlQbQQMiU27Ig9IcKc/owfipgMRZEYWrslcLEvjGQm\nhuz40uapXMqfhgdBm4+PFxbPeR2vj/oet+8mio43a8F2vPl6K/yfvesOj6L6omdmSxIIabTQe0kQ\nlSKg9CIdadKlC0gR6SBIV0AUqT9QQBSVIqAIUgTpvYtCEkpooQUINSF1d+b3x8ybnXk7u9lNtiRh\nzvfNNztv7is7O7s777xz7/Xzs+PplYH1foe0Ck7gSmQEipcqA79cuaxIv/QCmQk21qyHtY1tloVu\nR113ol5H2b/1OYLajZvg2IG9mbtQdmDvM8mMS7eGzEPzytGgwY04ePkh6lVwLomcq7B+80m88Vpx\nhFUo4pX+M4Pw8ERg+1Iw8YVx7E4E5h771SXttm1VHWOHt0ajNp9bPZz8899N7Pz7PMYNb+2SvtyJ\ny5ERqFApZ3nj0KhRpx7OHD3i7WFo0JApOJepKzsjOwdrczcD4k4QtkPcM/Kw8DZYl05vFUerNwor\n7aU9q9wrymzYqNqKe8IYsDrwPI+FK/7GF5O7CYyLTlwbZ/VKW1kZmTlyvF7cW2w43iDYiM//JCiV\nPQbAMhux2EgqeHGSbIbQro6xZBjmeAOCgoHQQH/E/rEK6Nkc0w79jPYV3kHFfMWVbZL3Qb4T8utj\nVg83PWxgcwBAnebTMKB3I7RuVhVbd57Fsu//xjdf9ERAQK7MJy+zU5/oFOhrSHuDCGVKG8JoXI6I\nQNmwMCudRnpwtQ0rMkdKaRk5YEQbWNnQOSfJOblNpapvIfpyFOLj45Hb31/VxoHclVYg15JhMhaO\nXKqfWX0Cfe9qkOCJUPGegsaYaMhyKBDgi5L5Mh9a3VkcOBKFlBQTmjd5w+N9uwqVKr0ErjVD07zt\nkWpOw8DtC8C56Ed82MDm2PzLKDx/kYRu/RfjXuxTnNw7Ez271nVJ++7GjWvRKFW2vLeH4VYYfXxQ\nLqwSov477+2haNCQYWgPJq8Qdpy/i70R9709jCyL+cv+wieDmoHNxsr+sDAhid7bCZNQIHcwDt++\niFXnd7ms/RrVymL+rJ64em4+Vi4aiNIls0++mZvRV1GidBlvD8PtqFSlKi6cO+vtYWjwMFiG89jm\n9vfi9h5eFTjr3usFnI95goOXHmSsMhGh6hjrMnv29kDEqiRomrSxsk0oUw2sRm+0wFU6lgll6cBo\n4vHFy/dx5t+b6NW9vrUwVupDJ20c9MImiV6VQleON8AMvbBJgdWsXYHpTc2NmIQ1sgogphJcLLxS\nMgDgRlQRLGg+DAAwdu8KxL58ZnXd1cWvNtyMpdPWeXCs8uLYc1H2Uo4Tnudx785tFC5eAoB9Aamt\nc3Kxqi0hqmPiV9t927OxJ4yVo1xYJURfirJ53hU5c9Tay1bQcu1kaWifzCuEPH4GPE9MS9/wFcSX\nC7Zi+KDm8PXN3jmEwisJjElkZC50qdQIzcu8hWfJCRixa6mXR+ZdPHv6BEajD3L7e36J0NMoXaGi\n3QcTDRqyOrQHE3vITAA3b8FOkKHQQD/cf5bkWH3CVLCMUrCqBgXboc6qSO2o2YhsxvnbTwXXSbmN\nlUuwiouwXgfoddZuwjRzopezICIrwuoQfTMOf+39D0P6N7WIXnU6hQ1YnSJzsMWFV8mGSCwJ9LJZ\np5IFUboU29oMVhvpy5IpV35emNmGhQmMSWRkbnCcDktbjkAugy9+jTyAHddO2w66RrNDNFRmmE5l\nELbVXgZD0zuLR7GxKFCokM3zGWU2nLF1pr3MoESZsoi5cd3t/diC3O1dg+egBVjTkC1RMp8/bsRl\nzSRfjxNS0Ozr/XgU7/kw9HMWbsPQD5siMNA1ody9iZAQM0JDU5GYqMOtWz4oFVwIMxr0AQAM2bkY\nCanpPJjmUDyOi0Pe/Pm9PQyPICRffqSmJCPhxQtvD0WDhgzh1XEXzghIQChHZjnyWaardSakbXvt\nOmBTrnAAoh/Ew8xx0BFWBFAPiU9Bzpo4M+eT6pG+ZNeJkbkSf/X3JXR4qzgK5c2t6Euy0evV9/I2\nyV6y0SnLAYsLsE6wuREThz92nMWVc4ut3YJFG1JO3H8BmQuwWGaGig3lvspJx7ZDdBOXPwVJpfQk\nlQKD6RiTzEQn7jmEV0pCbKwREZF5ULp0EobXeh9rLuzFP7FXMfXQz5jXeIDyusj1AcSDRwqGRrln\nMiq20uBdM89xh17h6eM4BAVbZz524NZ3yMYZqLMm5HrTLsUWW9ZGgDplewwYhkFokaKIvXcXQUGB\nLhixhuwATwQ+8xRc8QvQHMAlAFcBjHdBexrchKDcRszv+RbSPJQh2FFcexiPH49cx9T2ng8V/sU3\nWzC4X2PkzZsnfeNsgrAwgRWJjPADAOhZPZa3GQOWYbHg5O84e/+qN4fnFSTExyNPwKvzJ503fwE8\nfvQwfUMNGrIgMvtgogOwBMLDSTiAbgCyfjKWnAJHEldRmo68/kbsv/xQ8HiR2rFoOay8X1S8a4he\nhNaf0OUKTQnlgcPoGMDAgtczGLvhPEY2q4jC+XODMbCAfLOnLZHa1IPR6SWtic3w84pNh6s3HmHL\njnMY/XEbi65ERVti8cCxbCQ8PNGTqIWkN0ubYKvqcSPa2go/b1boWERb4sEjS0RO6pt5AyqGpwIA\nIiJyS+VVC4VhRM2O4HgOA3YsgInnHNOa2EtJn57njVrCQA9CrnNIiH8B/zyeFb7aCm3vuvZte+6E\n5MuHuCz4YOLqBI0aLGBg9tjmbmT2DqkBIBrATQBpANYDaJvJNjW4ES+S0rDiQLS3hyFhT2Qsrj2M\nx8imFT3e99Q5v2PkkJYIDspZnhph4YIANirKT1E+vUEflAgsiH9io7Hw1GZvDM1rSElOgY+vX/qG\nOQS58wTgZULW1JNp0JAeMvtgUgTAbdnxHbFMQxZFyzeL4EBULOKTsobbcKOwgtgxqiF8DB5IjS7D\nvxdjsP9oFD75qIVH+/UEpAeTSD+F5Mjf6IelLT8BAEw5uBo3nsV6Y3heQWpqCgzG7O0K7gxy+/vj\nZXy8t4ehwYPQkvhZkLXECvaQFQLqqC29kCUKR2zpc3YgLZfIy1gGIXl80bhSIaw7cdO+Cy/dlx2X\nYNV2bCzhKJaNWAZ6vQ5FQ/MARp1VMDVGR2UGVmw6y2blFkwt6ciXacSAahNmbsCk0e3gH+Bvvcyj\nNwB6g4prsEG2LEO79VJLPApXXttuwY65ENNB3KxdiuUuysHBvOSZc+Omv2UJiWHRovw76BLeAIlp\nKRiyczF4nlfea+m58Drr3puBrMIErnQ75TkOOp1nH369CYPRCFOaeycfZBlRgwZXI7NeOXcBFJMd\nF4PAmigw7cvfpNcNaoehQZ3wTHarITMY1LAcxv16DgPqlgaTwT+N7Iy/D0Tg2o0HGNinsbeH4jaE\nhScjNtaIqEg/lCqldMFe0GwIdl0/g7+un8H6yAPoFl7fS6PU4C7odHqYTKb0DTW4BAcOR+DAkUiv\njoHJQYkNM/tgcgZAOQAlAdwD0AWCAFaBaeM7ZrKbbAbJddd5kRAJWMWrBbGx5xJMZ9YlNnI2RvTG\naVS5EJgNDA5dfoj6FalcJ6I9/biiOmu1M1mi2RoYBGNFsDajTlHGGCh3X8Di8ku5ADM6ezZKN19p\nD8DMMxgz7VfMmdYDPr6+AjsCWFyDZfaSK7CUOdhiY+J9FGVm0VZuI2W3Ja68DrjBEpqUVXqAKsYj\nyLkARvYBSBl1xfunYngy9u8LQERkLrRo9UJRPzRPPnzVZBAGbJuHEX9/i2alqyHEL0Dsi3IPpu8n\nudgyIwykvTouZjQtgaAYsDodzF76o85INt/Mguc4t+d8Yj0QaCu7oEHdSmhQt5J0PF02GdfgPDJ7\n55oADAOwC0AkgF8BaLGQszhYlsHuCU1Qr0IBj/e9NzIW954merxfglVrDiIkKDc6vFfTa2PwBMJF\nnUlkhHrQuH5VWqBe8cp4+PIZxu393pND8wqMRiNSUzwfvM9bMJnSXilNjQYIkwlPbW6GKwKs7RQ3\nz0K+BJGRMM/22Ad61phRkKmSI804wobQp9SCutHBxswy1kZnYUPyBfqCT+PEY0vDtq6k05M+KrAa\nwzLY+s8dfLT6FLaOaojC+fwt7ImBGrNepgWwFVhNzqqQH2C9MngazYY8e56IKXN+x/YN4yyMi8Sq\nWPrkoGRIaOZEfo5mSsy87QBrDjEm4mchZ6hImY5JU4xHtb7IuISFCS7DUVF+UmA3wrDwrBBK/rtW\nI/HG8kH4/t+/8EHlRmhQ4g31oGuAZQojvz9tfe/UlgdpNsTDrsO+fn54GGudWdsRNoPYOBv+x1bb\ntgKlAYDOiaVV0o68PfI6JTkZvr6+DrflKeSk5QYN7oOmXNLgESw/EI1hP5/B1lENUb1UXq+MYerc\nzXivRTVUfaOUV/r3JCpKnjm+NoMBV8xXHJPqdAcADNqxCMmmVE8Nz+Pwf8XcZ+OfP4N/QIC3h6FB\nQ4aghaT3FtILIe8IGyKvS+taxGNGp8KGWGKak8qSjWXGngFQnjoAkGzm8enGf7Dz37vYP7kpyhaS\n/VgS3YnBhkZEUUZpS+yxKjp6b8B/ETFYv/kUIk8vAKMzWtnwOgvtzXECI2HiBB2JiRfOmUVdifBa\nnSnJtMZEvP6sLIgRnTSLMCfy0PZEk0TYlOCQFBQMTcODWANu3fJDyVKpVjY6hsP42t2wPmI/ouJi\nMOPwGsxq2Ffs1AHW0JHZvSPMiAcE2HkCAvDi+TOb55Ushu2w8OnVdyZJn5LpcGRcjuP5s2cICAzK\nUF0N2RQ5iI3SGBMNAIDzt57g7M3HLm93zfEbuPskEcemt0CZgt4J+85xHIaM+QEzPu2IfHlfnVlk\nWLigqYiKtE3p++iNWNlqJBgwmHt8A87l0HD1Ifny4UlcnLeH4THEPXyAfAUKpm+oQUMWhPZgogEA\ncOdJItrM249fjt0QYlu4CH3rlsGvw+oixN8nfWM34Ye1h2AycRjQq6HXxuANhIWJAlg7DyYA8E6x\nShheox3MPIe+2+Yh1Zw1gu+5EnnzF0Dcw6wXot1dePQgFvkLhnp7GBo8CZ733OZm5MylHFeJV10F\nu8JW9SUYmNNfplFf7qGEsqzKMg2ndAnmAbSuXgxbQ3Jh4MrjWH/qFr7uVg0VCwdaxuGsz6OYi4cl\n4ldJ4Cpb7rFawqGOZWVWSzhyjwOpnlimE8WhrB4PHj7HxJkb8PfmSdAZjJbswpStXFBKXIHpjMFy\nYauZMyrKJKGsbHnFIp51gt4X+5SLX3WiezDnwNeVfMZm6FEhXKgXFeEnBHGDtQgWEFzUv2jYD1uv\nHMd/D2/gy2MbMLmO6PVvSwQLuD6LthtRILQQHty/B57nwTCMbInE+rOxtSyjU1nuId8iYitfeqHr\nO7Mso2braP2kxETEP3+O/KHeeTChlx41aHAWGmOiQUL10nlxcmoLNAgriMZz9uCTn0/bted5Hnee\nJGLN8Rvo/L/D+OnodQ+N1HGMmLQG/Xs2xBuVS3h7KB6HtJQTlb53Rm6jH1a2Hg0AmHlkLSIe3XLr\n2DwN/zx5YDAa8fzpE28Pxe24G3MTRYqXcHscEw1ZDJq7sJshdy30JOvhDNNi5f4oe+2MoFU6p2Q6\nGFn7UrA1O2yIlciQtT1LZwzKduXzMKOfHmPbVsbQZhUR/SBeCoIm95XcfCYGX++IxLWHCdCxDGqV\nzYc21YqhVZWiVkHTYMWYyMZJMyWS26+a+FVP2cjErwbCfijdhf/YdR7nLtzCqu8+sbAoROQqugcT\nFsLEycSvRNAqiV+VwdSEy6EufjXz1jNm5wSRZC//VESxKojoVemGLH9NWB6G4VA+TAgodinKF2mc\nHkYdETZbi2ABoFHpahhUtRW+O7cdfbd9g2N9FkBvL+hZRv73vJAWglzTEqVK487NGwjJmw+0wNWe\n3NsRYauajS2Gw+LmaynTqZSl15ct2xtXLqNUufKqdQCAYczinlPdy1+zDuRF8UTuFJcjq7DpGlSR\nNR9MNHgdfkY9KhcLVj33Vul8mNutKsrkz4PQID/1HDtexpOnCRg29kesW/kxcuXynr7FmwgJ4STP\nnJhbBpQtnb478NzGH2L71ZM4ff8K5p/8HWNrtPfASD2DUmXL4WZ0NF6v9pa3h+JWXI2MQPmwSukb\nashZyEZLq+lBezBxFum5+cptCNRC01vZ2AgBrlZmz0Y6lmgVm8OUmBM5u8IJr60eNWTTs2IF/VGs\noL91g/IHFBJmnpRJYeLljIkNpsRo0XIwhA0hZTRzAsgCqll0I8MnrUPH92qhXt3XleHmKfdgwoqo\nakyoUPTEfVhRJrEpvGjDy2ygOMdxHJISE2EypSEgMEg1TxG5zHrFdJi8Tj+wGnEhJuMLC0/Fg1gD\noiL9UKZUknDOhtYEAAJ882B561FouW4iPju4Gs1KV8XrBUopNU9Sp464FLPKvRNwRKvAyN2qycyf\npxgAXrgmZStUxNUoIZ8JuS1JkHql6y5hU4Rj8jkqGQol02Kxcc1DuhorYtul2PJaxwCXL/6Hdl17\ngFVoaTKHzLIils8ikwPRmI5XAtoipIYch01bT+H0P9cxZ/oHXh3H0yePsX7VCozu3xtNq1TC6wUC\nUS+sNJq8HobqxQqgbe23MGvCGBw/uN9tCdcqhAk6k0uRjocnb1G2BgZVaYlUcxo+2DI3xwReC6tc\nGZcu/uftYbgVPM/jvzOn8EYOZ4U0qEDTmLxiyHT4e+tAZtYaExueNwCkyYZUxlnZWPdJ2dL9y6CY\nmYpTSd6ORsUWFIn7aM8hVY8bOsy8Awn6jBaPG8uYDdL+fuwzfDx+Nf5YMwa58oh5YvRGK1tJP0IF\nURPKlAHVTJy1xsQknVMyJRzP498zp7Fiwdc4dfgQ6jR5F7UbN8XAsRNQrHRZ6EQdTPyL54i5fg0n\n9u/F11M/w8uEBAwcMx6tO3aCXq+H/LOy3D5K5kQ+iyUaF/JZElakIvHMifS16E+kIHriXuZ5Q7RN\n894dhH23/sWFRzcx6eBqzGvYH1YgP1Be0I04MwMnrMFrb7yJyP/+BQO5DkS5l9urnbNA6ZWjNhCO\nKqLb0akEWKMZDnveOWrnYq5fg15vQGiRImqDzjTsMSeO6FE0aHAEGmOiIceA4zj0G74CA3s3Rq23\nynm8/6tRkRj4fluM7PsBajdsjL0XLuPrlavxXtceKF2+ovRQAgB5AgJR6c2qGDBqHNbtPYzJ8xbi\n959+QJfGdXE1KsJlYyKeOZeinNPZ5Db64Ze246FjWHxz8nfsu/mvy8bkLRQqUhQ6HYs7t3KWx5Ec\np44cQo269VWXCTVoyC7QHkw05BgsWr5bSNQ3vqNH+01KTMQ3M6agV5vmqNe0Of46ewHd+g9E7jyO\nRbplGAY16tbHqj93ocfAwejXtiXWrPjWJWOrICbzuxxldFobV6NIRUyp2wMA0HPbPDxKfO6SMXkL\nDMOgSo1aOHfyuLeH4jacOLgfteo18PYwNHgD2lJONgYt2LPnwuvOQG02xa92ln2ccAlWX+axIYhV\nuQYSO28vKJy9cnoJRzq2kweHFroCFpErKaMzBwOA3ohz/97ErPl/4sSeGdD7iHE7dFTANQBmKF2A\nyfKGPA8OHVCNFroClqWbixf+w6h+vVEuPBy/HzqBoAIFwQNIMXNWVL6auym9XNC2ey9UfbsOhvfo\nhLu3b2Pk1Bkw6IigldiyivEB8iUci7swAAQFcygYasKDWD1u3fRByVJpkmsxWe5hGVnOHcl1VDg3\nsXY3/H3jHI7cjkDPbfOwo9M0qX9LJc9R+Kz0Pq1BroHk6sqbRVvLPVezbj2cPHwIrTp1FWwkYiH9\nz0YuCbcVfM3MWy8T0TZq5+nlGbXlI1vnSHlaaiqOH9iPiXO+thq7fLmW5GGi8zLJbRiVMhrOipPd\nihzkkaJBY0w05ADEJySh28ClWDinN0qX9Fx+kPU/rkLftq0wYMQozPv+J5dF2ixWqjR+2r4bp48e\nxrSRH4PL5I9uRZE1cXY5BwD0rA7r2n2KvH4B2HX9LOae2JSpsXgb79RviGMH97k07UJWwZljR1Cy\nbDktFP2rihzEmOSMBxOGUc9QyrCWzW19s9Yba2tjLBsN2lblHMMIm2p7dH293s6mU25q9RxqR9yM\nBtubZGMUN2sbxmAU2BKpzGhtbzAKm94gbkZAbwSvM2DQ6B9Rr3YYundpIGQO1pNNsOUYo7SZOGHj\neD04Xg8z5wMz5wOTfOOFzcwZYeaM0nGqmUOqmUNiSiqmjBmJVUsW4cdtu9Gyc3ekmHmkmHmYOOuN\n1FM7Z2vLHRSCb3/7E9GXovDNzGkwcdb1eZ6VNvJ+OOjAQScrZ6VAa1GRvuChAw9W3HTCJmuHbJb7\nmUHRwAL46b2xAIDPDv2MI7cpDYy975itc05+NxmYVWffLMNJm1UdhhM2WLYy5SuAYRhcuxRFuQgz\nVht9TtkvsVN+DXUMY3Oz1CWbdZ/W56zt6XZ04vb3lt/RtE1bu+8lo7B1/dXOSdfdnhhW8UdHcrC4\n+E/PQ3ldNLgeOePBRMMri+9WH0Dk5XtYNLuXR/p7mZCAgZ07IOb6Naz7ez9KUhE2XYlc/v6Y//N6\n7NryOzav+TnD7UiMiRMuwzRalq2BcW93gpnn0HXrl3j48lmG2/ImGIZBk5atsWf7Vm8PxaVITUnB\n3u1b0bJDJ28PRYO3wHGe29yMV09j4gjsaUvI7MORQGv2YEunYaU1AayeH6XEeoo4+Oq2Do1FbRx2\nZllqjA5dTmtKpMhhlltOcgumg6fJw83rKU2JLIja6XPXMHXuHziyawZy5fG3sqGDqAEW/Yjk7qsW\nbl50FybnUsXrHRcXh0GdO6B8eCVM/Hoh9Hq9qruwpS9l8C01WIJ5qbuo5gnOi4VrNqD/e81RLrwS\nXqtSVaYxkYcZF3U6UjJBS9jxCuHC60tRPgKLItZnRDdhXpH+QCeWKbUm4M34vH4fHL0dgaN3IvH+\nH7Oxp+vnMOoMHnUblnQk0gxddj/Z0JbIZ+4so0OrDh0xYdgQDB07QQq0Jr/drV13lQHXyEjUkf4M\nXc3dl+5TzX3Y2say37t9Kyq8VhmFixVT7VMt3Ly9kPS2XH9ZB3QlduEII+LIb6oWaC1HQ2NMNGRL\nPIp7gU59F+HbeX1Rvmxht/f3MPY+PmjZFDXr1sOMhf8TY414BqXKVcD4WV/j08EfIjkpyen6FcSl\nnIx45shh0OmxscMkFPbPi8O3L2LEnuUZb8yLqFbzbZhNJvx31n6SyuyE9atWomvfAd4ehgZvQloS\n88DmZmT9BxN3a0ScGYOj40hXa5JOYDSb2hRbWhPbtqqbPb2IM9oShzZBx0J0JPLNWlOiojHRU5vO\nABPPotuApejeqS46tKttpTuBzgDoDDb0I0ZhE7UmtI7ExPvAzBtg5g2SluP+/fvo1aYlmnfohKGf\nTUeqTDdi0Y8Im7LMcU2JZRPa4XgotnfbdUT5SpXxv7mzJVuljaAxkbQlMq1JUDBQINSMxEQWMbeM\nFi2JqDXheMsmaUys7n1Bx1XIPwSb358MH50By/7ZgeXndzr23aBt1IR04rFco2BLq6CmH7F1TvH1\nYhjoWBYde/TChtU/2tB5CJueFTb6WCgTvmbWNqy0WbdHl6vpTezpT5Q2RFsSdeFf3L55HY1atrbS\nvJBrwMIsbXSZ3Y/NzudAl6ldb+kcz0mpAhyGB8WWGrIWsv6DiQYNFMZNWw+djsXnk7u6va/Hjx6i\nb9tWaPV+ZwwYPc7t/dnD+Flz8cfan3A10vkAbBXDhAiwl6Js59txFDUKV8DylsMBAMN2f2sths0G\n6NK7D3Zt/QPPnjz29lAyjVWL5qPnoCEwGDL/2WrIxtC8cjRo8A5Wrz+MbbvOY/2qEdDp3Hv7xj9/\njj7t30PTNm0xeOwEt/blCPIWKIjB4yZi9iTnH5DKVxSWczIjgJWjV+UmGFG9LdI4EzpunoXbLx65\npF1PIW/+Ani3dRus/+F7bw8lU7h1LRpH9+9D5z4qKQM0aPAsmgO4BOAqgPGZaejVFb+qCVwzImiV\n6sjKHHmiVAukli6Uolc5s8rTzUgB0mQiPY56f45kKVYDLXaVVHnW4ldJ4ErOyYOn0WJXKcuwdW4b\nsHqcOBONcdN+xYFtUxBSIFhmowykZiuIGmAJpGbZi2JYmUA2jWOQkpyM09hUYQAAIABJREFUgd06\noUrNWhg4fhJSxKUZAlr0qiZ+JaDL5IJGOnMtySpsUtyDrGTT7oM+WL1kIc6cOIZa79S2aocTRbAs\nJWwlAtioSB9J4Epy61qOZWVifStqXrYc81WTAbgQdwt7b55H+98/x+Huc+BncD5WiiMgYkyS34do\nTBVLCTwJCsYqzhExrFCNXEsGg0eNQaemjdHjw4HIHRAo2Vi+MraDnenJV0f6aNUCtNl303VM2Aq7\nNotnzUSfIR8jMDBItT7DWETQtmAtKLYdPE2t3F6OHJdlFfYUMskG8N5cdvLukpcOwBIATQDcBXAa\nwFYAURlpTGNMNGQL3Lodh459FmPVkkEIr1jUrX1xHIfRA/shX4GCmDjn6yyVd8RgMGDAqLH49qs5\nTtWrIC7lXL7kOrpfz+rwa7tPUSqwIM7GRmPAX0uyVeCy0uXKo3HLVli54BtvDyVD+O/sGZw7eQy9\nPhrq7aFo0FADQDSAmwDSAKwH0DajjeUsxoT8gaj9OGYkvLwjbsP2fohJfbuPfxlw8yWfGmepw5AZ\nNplZqo1ZjUWh2rEJW0HhZHtGLm605SYs92axchO2DiEPvREv4pPQpscCjBneGq1b1RLblYe2F0PH\nM6Kbr+juS1yA5e7CJquswoQ5sby/uVM/Q9zDh1i2aSvMYCT2wj5jwol9wgpm6h7RqcyCLe2Kb4mV\nsyq84lzrzt2xZNZMXI6KQpkKFcV2BHueYkrIcfmKQuUrUQaYzSxYFpLbsPzTJ4wCzapA5jYsR95c\nAdjScQre/nk01kQeQJWCpTG6Rnvri2DPpZhcHxI+nVebwSvrqYWmJzN3iYUS6/OMSbLhxPfFil+i\nERMno03tmni/Vx+UKF1GsgKANI52E1Z7QFW6e9tzDbeMU61MnSmhA70Bwv1jNpvx+biRGDl5Ovz9\nc1u1TYebl8OWm7BqkDqxvpqbsL2Aay6HK9gATUTrThQBcFt2fAdAzYw2pjEmGrI0TCYzug9chndq\nlseIwS3c3t+vq3/A39u3YvEv62H0cc+yRGZhMBrRvmdvrFu1wuE6wSG8zDPHtfORygVKYnWrUQCA\ncQd+xK7r51zavjsRWrgIBnwyEp+PG5Wt2J4NP6yEj48v2nXt4e2haMgi4HnObdv+wxcxdfYGaVPr\n3pXvxRMcNc89/sUVrThha+ca0e2otUtrTNRsSJlaX6Q+T+3l7XJUmSQSsDMeW3u1+irtWLEoGdHS\nyCAxJHTCPkUZxZSoBk+jmBISII3nMXjcz7gZ8xDbNk6CwaAHiIZBpkPh9YQF8RP3wnEaLxynieXy\n1ySIWirZm3mcPX4MH/fqhh+27UbJsuWkwGqEFSHH8jLCZqRJx1aXyS7IDJeELCdMiZwxsZQJ19So\nY3Dvdgx6NKmHQ5euQ6/XSzZGURCsZ1IAAAbWEvekU6tAHNrvi18330OzlolgmTTRNlXWV4o4LpO4\nF2wYTmQdONlsmLqvpxz6CTOP/Yogn9w43fsblA1WiS9D3zPyMil4IQkSZ3mAsiRW1CuOTbzRpg2t\nIwIsn7tZsmWQmpqKDo3qoUuffujWb4D02aZRn7H8s6XLnNUWqR0LZcpzcnbFIB7cvHoFPVs1xdqd\nf6NM+QqKdsh9IH1+hPGQsUY68TMlZYQxIeWKc2J9nXQ/WNqhz0kMDBWeHpDdP2q/m7Z+l2hXcjnU\nflNp0J+JI/8hLtKYsMHdAc/8v0pdc0/XeqwzlfdXC8A0CAJYAPgUAvX4ZYbaz8TYNGhwK+Yu3oET\np69iww+fCA8lbsSDe3cxsn9PzP7fdyhZtpxb+3IFChcrjqIlSuDs8aMO1yE6E1d55tCYVqc73itb\nE89SXqLtb58jPiXRLf24GkajEfNX/YQFX8zElQy4YnsSqSkpGDuwL4ZPmoIy5St4ezgashK8G5L+\nDIByAEoCMALoAkH8miFkH41JRjQizrQrb5v2VlGzkeq7SWvirKcMXV/F44ah23bE3Vatb1veOHJb\nmiEhxzrZLUdeU0wJ9Ab88usRLF21F8f2zEJgcJBqSHoCs5VuRKk1IbNkwKI7kULScxxSU1MxvM8H\n6NLnQ9Ru0hQpZnWPGzWNidnOzFltFg3QM2Uq7LnUjrXnjmWWLpxr0LwlDuz+C2/VqQdbkzNO5nFD\nIsBGRflIWhJXgmVY/Nx6FGr9PAaRj2+j5/Zv8Hv7iVIIfQCyma68orgXPYqIDcPK712imVB65ygC\nq1E2HJm9ymbwRG9Ca03KlCuPiV/MwfDePbB+9z4EBYdIddKkLuSfJx2u3lpjkr5XjrUtzZjI9UgM\ngC8njUeRYsXRtU9/VVaF1paohZu30pgQWzUdCWN9nS1jtuG5o/CUcuL32lWh6LPRklwOggnAMAC7\nIHjofI8MeuQAGmOiIQti195/MWbyL9i5aTyKFsnr9v7mTZ+CoJAQDBg11u19uRLV36mDc8ePOWxv\nCU3vvkBcAT65sKXDZwjyyY0tV09i+pF1buvL1WjfrQcaNGuOwd07Zyj0v7uxeuli/HPyOOYsXZGl\nPMU0ZBF4P8DaTgAVAJQFMDszb0V7MNGQpXDm/A30HLQUm1aPcLtbMADs27kdu7f+gVn/+w6sQ8xU\n1sFrVarhalQEUpKTHbKXXIYzmTMnPZQLKYz1740Dy7CYcWw9Vl/Y677OXIwJM2ejcNFiGNG3J1JT\nU9Ov4CHs3LwJq5cuxrL1v8M/IMDbw9Ggwa3IXr/EjkLM66F+zkW5d+y1Q/LNOGKTkVw3dvPgCLlp\nLMk8dLKyjOTB0dnZKFtFjhvKRqe2CTltSI6bqKuxaNNjPlYu/gh1a78GhtVb58FhdQCrgxk+0ibl\nuIFe2HgfajPI8t+QvDk87ty5g0mfDMXc5T8gV2Aw0jgeaQ7mtDHzwkbnuJHb0PluLBuvsqVvQ0CO\nDb5+CC1SFLdu3rCqpwa5Z85tF3vmKMBzaFbqTSxoJEQj7b9zEXZeO20tZiQbWbeWkoQJ5Yx8g1nc\nSA4c4VgHk7TRNiyTBpZJU829o2PSoGPSwDImsIxJynlj1Oswd9kK6PQ6DOveCckvE2BgGatNz9K5\nc6zz6djKq0PXUcuRQ/LgsAyD7Zt+xZyJ47B8w2YUKVbMql0dw0ub1Xu1kyuHgGU4sFb1hGvJglO4\nCluusYobso3yjNw/mmtvBqAl8dOgwbW4ffcxmneaizlTuqBtq7fc3h/HcRj30QB07z8IVWrWcnt/\n7kLx0mVx61q0w/auzJmTHj6u1hoTanaEmefw/pYvcer+Fbf36QoYDAYsXr0WhYoWRc/WzfDg3j2v\njWX9qhX4ZtpkrNq8HRVeq+y1cWjQ4ElkH/GrJ0ALbNVCttM2EiMinw2SCE8q4eolG6oPK6hVsvMc\nSY9VNdy87erptqtWRrsJq4lfSSA0nU55DEhC1gdxCXi341yMHNoKfXo2sQhdFfXVg6gB1oHULK6g\nxKXUEo+EBFL7afkyvEx8iV7DRyHFzCHVLBe2Kt2EybE8UBrtLmzPbdQacjZPKZ4kfehVxKyWti3n\n8uYvgKdxcQ70KaB8RRMO7Rc8c1q2cmCktMu7YkDUORWbWXV74H7CE6yO2I9Wm2biaI85KB9SxEag\nNUrALWuPCGFtiWABQEeF2LfYWFxcHYGe1UNvNGDWoqVYNu8rdG5cB58vWor6TWVxdMT3rpM+N7FY\n5fN3xE1YR4lek5OSMGvCGJw9cQxrduxG8VKlbQpkSdh5QCZ6JeJge+JXB0Svto7V+rALe+EV0qvj\nCeQEhiYnvAcRGmOiwat48jQBTTvOQfdOtTFyaGuP9HkjOhr/mzsbc5augF6fvZ/N/QMCkBAf77B9\nxXDCmLjHZZgGwzBY0WwIWpSuhrikF2i6YRpisknCP4ZhMGTMOCz44RdMHz0CM8aOxIvnz9ze79XI\nCHRr1hCJLxPw277DKF6qtNv71KAhKyH7PZh4QiNCQ67hcKhtGxoX0qd8U+vDUf2JXN9Bl2VIT2Jn\nk+tHjAblRmwMRsvG6oVNpxM2cky0InojXiSkoGXXb9C00RuYMqGzRU+iM1o2sYxn9eBZi36E4w3S\nJmlMeL2wcUaYOSM4Xm+1pZk5TBw+FANGjkGx0mVUNR20bkRNe2KtDRGPnXL9t8CWjiQ9BoZlWZjN\nFkaAaBRsQe6Zo6a9kG5VW3qBDKj3DTo9NrYZg5qFyuPWi4dosG4SYp4/kGlMTOJGtCbWG8OZwHAm\nSTdCtCFEK6Jj0qy0JXZtKL2FXINB607erlMH24+eRFpqClrWeBO//rACnMkEPctK11tNh2JrI/oR\neRnLMHgZ/wJffjYBfdq2xAcDBmH+96sREBBgU4dCxqnQj1CfJ/0+5focK22JTD9CtCW29Ciq4etJ\nOzJtkE29iJrGyBk4U8cDmhUSIVWDa5D9Hkw05AgkJCSjZZevUO3NUvjq854ec3/87Zef8PJlAnoM\nHOyR/tyNpMSX8MuVy2F7T3nm0Mht9MVf70/BW6FlceP5A+HhJJswJwAQGByMLxYtxcqNf2DX1i1o\nVvU1/PTt/xD/4nmm23725DGWzPkCzau9jvjnz7Dt+Bl06d1PcwnW4By87y7sMniGx2ZZ55+IXQH5\nF9uZtU1HgrnZ1JrIy6gAZGpaFbqOU8HU5KDqqfVpC/b6pIOoyV+TPXkv8uBprE5ZRrQirA6JiSlo\n23MhwisWw5J5H4KhbWTt8DoSJE2pH1GGIlcPQS7ZigKQp08eY96MKfhu4x/gGBacyH7IbeSvLboR\nspczGsoy9UwCon5EvIaSDWtpJ70gXHLQid50DPDi2VMEBgapJoYDlMHFGIZDSF6gYKgJD2L1iLll\nQMlSaQp7K92ApCNRSZlAa0vULoLsmgUZfLG74xQ0/W0GTsdGo8G6iTjQeQaKBxUU6xPmR+Vnidxq\nJPiapI+w3JckfD4oKQ5JZKiwsQNacyH1wTJ4vUoV/LJ1O86fOYPlC7/BotkzUbtBI7zb+j3Uqlcf\n+QoWSrd9AHgS9wjHDx7Ajt834uThQ2jeth1+3b0PpcWow2pJ/CyfDUmspwyiJtirh6JX2ij1OlL7\nNlgQwdZOMkBXJe2z93ub3p+hFlQtRyF7L7BryHZITEzBe93noUihYHy7YKBHY4fMnzkdzdp2QPjr\nbyLF7IUHZTfg9o0bTmsQKoal4kGsHpeifKweTNyNIN/cyoeTDVNwoOvnKB6Q36PjyCxer1YdS35a\ni6dPn+CvLZvx15bNmDluNIJCQlCmQkWUKlsewXnzCjFHeB7Jycl4/PAhYm5ex9WoSDyKjUXVWm+j\nWdv2mLN0BQKDAr39ljRkd3hj8u8maA8mGjyGpKRUtP1gAYoUCsGqJQOhcyQkvotw6eIF7PpzC7ad\nzD6Zb9OD2WzGrWvRKFm2rFP1KoSl4uD+XIiK9EHzlgluGp1t0A8nddZOxJ7O01A+bzGPjyWzCAwK\nRpfe/dCldz+YzWZcu3IF165cxs3oq3gSF4db16PBsjr4+vkhOCQvmrZph8Gjx6NceCXodLr0O9Cg\n4RVE9n0wsZe/xlXtqC3p2Mqjw6ss09ha0lGrT8PZ/2zJa5l6D6yTP340g6GWB4ehl3B0ymPAagnn\nZVIa2vaYj9DQEPzw7TDhoYSMTcqRY50HxzqrrDK7rHBOuXTDUbYmjsOXUybhozHjkSsgSBKyknOC\nrXWOG0seHDvZZaVVjMxRyZblGeVyDf1ajisRF5E/NBSBwSEW11F7bqIi5R5WScggfCnCRxQ4qmSD\npZdp1FyC6SUccg3tUvLCLsgnF3Z3mIzWf8zG0XuXUGftROzqNBVVCpa2LOnwtr8E0u1obyWMDMdJ\nsbw8v5DQDKlvuedI/h/5x65n9agYHo6K4eFO9Se0Rx8rP0/A8tnQSzjyjL+2cuQoPmP6HiHLPip5\nh6RzdnLmSHXs3SOO3Bt0HQ3OIQddN038qsHtePkyBa26fo1iRfLip++GeZQpAYCTRw7hRvRVdOnT\n36P9uhsnDx9E9dp1nK4XFi4+mET5pGPpXgT55saujp+heckqeJT0Ag3WT8bhO5FeHZMGDRq8j+zL\nmDgLR7IAOwNHMhDbYk7k9QnIw649MS3NXqitKVq164CNvXM0OyK3kZgglczBov3zhBS06fY1ypct\nghWLB4GVB0+TGBKLMBYAONltSTMkJkngam1DRI606HXJnC8wZNyn0BsMkrbEWtgKWXv03jX3jCUp\nc/qCVyVjoiwjx39v3Yyh4yaKbqtCGT2Lpl09ASAsXMitcynKB+BN0LFyd2NRcyJRQeJMm7gkc7Jg\nZbSNyozNlgslI94fuXV6bHlvLD7YuQgbr55A0w3T8dt7Y9CydDXl/WRWD5KmuF1tXFb5j5ytUGvK\njLjKn0XCmMhtyL3GiRmRyTHrJDsj9WklRFUKXOX904yHmo3l81cyHsp2KHZFhZ2hx6fGwEllznxN\nsooeIgexDDnpvWiMiQa34cnTBLzbfjZer1RCeCjxQpK808eOIPbuHbTu1NXjfbsTMdev4c6tW3i7\nQSOn64aEmFEwNA2JiTrE3HJfoDWe55GSkobnzxORlmY7+qpRp8e6liPw4WuNkWxORdstX+KXyINu\nG5cGDRqyNjzHmDjjvuosHHHvlWztMCe22nFWz2LLlVihQ6HGYS98vS048j/vyMOA2iyPodgZ+Syf\ndg+WbC1r8w8ev0TzjnPRpEFlIU6JToVVoZgSXmReOE5FPwIlK6KmMZGYExAbDisXLUDfj0eA1emk\ngGjCOVo/kkmNiC1/XVgzJXJTukzP2rYh5wwsg19XLEOH7h/Ax2hQ2OhExsPiLpoma4e4knIIC0/B\ng1gDLkfpUb6MxYYhjIgtpsQscw0V72dePGdOM2H/4Uhs3n4G5/69gf8ib8NkMsPXx4DklDTkzxuA\nCmVDUe+dimjSoDLefqus8LDKsmABLG/8IUJ8cmHu2T/Rc+ci3Il/jPFvtRPieTggFHVEd0LuPjOl\npeF4659CwhIQBk+uPZFYFCnsPWtlkxGouQDT47GlNQFsMyUKNoTWqNhhQ9QCqVmNy64OyYHvla3f\nVHtpEBxp3wMMQpYKqpaDXKZfnaUcDR5DzJ04vNtxLrp3qo2pEzp7LVBUzI3rOHfqJOYs/8Er/bsL\ncQ8fYNumDdh58myG2wgLS8aBff6IjPRDm0xmAoiPT8KSFbuxZPkuFA4NRqd2NdGlfS288VpxBObx\nBQCYTGbEPnyOC5G3sf9IFD4atQqJSSno1bUuPur3LgoWCATDMPiybg8U8g/BqIM/4dMjaxATH4fF\nDftpHiwaNLxC0B5M1GCPgXEk0Z8tW3tB2AjUGA5bD+UZ9UyiGRK1Psm47GpMKKZEp8eV6Pto1mE2\nRgxphRFDWtkOtCavxyp1JGr6EfocL6OLJBZFnK0SbcnaVSvRvvsHMPrlskqyRjMk8mOzmzQlakGz\n5CyI/JyetbYh++Vff4n3OndFoUKWYF4SG0LtdYy1fkTHpCC8UgKAfIiK9AUrV16kx5TINCYvXybh\nq8XbsGT5Lrxb/zXs3jQWlSoWVV4EsT09CxQNDUTR0EC0aPQavpzSGef+u4kVPx9EWI3RaNeiKsZ8\n3ArhFYrgkzeboUjuIPTctRTL/t2Fu/FxWNdqFHIZfKwTB8rvJx0JaEe+W7AN63yIEgi7QFg6i6eS\nLPAfxZCQY/m15DOwUm4v6JmVx40DTIeU9FDGnFkxJSo/MHR9Ve8eZ7Ql9oLw0TYaMoasottxATSN\niQaX4cw/19Gg9UxMGd9BeCjxIkwmE7ZuWIcOPXp5dRyuxuWLF7Br6x8YNmFSptoJFwWwUZGOh7OX\nY/OfpxBecywuXb6Lk7unYe2KIdYPJXbAMAyqvVEK337dB1dPfYWypUPRsO0s9Pt4BWJux+H9cjXx\nd4eJCPbJja3Xz6LRxml4lJj58O8aNGjI+tAeTDS4BPsPR6JV57lYOq8v+vZo4O3h4OiBfShctDhK\nl6/g7aG4DGlpaZgx6mN8/OlnCAoOyVRbYeFJAIDISD+nJlqxD56hW/9FGDd1LVZ/OxjrVg1H6ZIF\nMjWWvCH+mDiyDa6c+gqFCwWjav2J+OzzDXgzoCSOdpmBEnny4WTsVdRY+yki4mIy1ZcGDRqyPjy/\nlKMWZMxVcJUI1pH2bC3pyOFIEDYCW0s7ttq2NnLAhoKtDMjyPb1so7AR6m/88wyGjf0RG34ciQZ1\nK4n1bCzhKPLpEFGhveBp6ufMvDwIG23DYe+ObXi3zXvisXWOG1vHaiDLK/J2pOUYlle1VZYpz8mX\naQzSMg2rOKeXfeakbNmXsxAcEoIe/T4EwzDQMZa+9YwQm4SIX/VsithnmswmVbQxIX9eE0JDUxAb\n64NbN/QoVUpgUKQlHHOquBeoe96cit+2nsKQ0avQt3s9rFzQH7l89YApzcGcOSrLmdIFEsoC/X3w\n+YT2GNizASbP3oQK1Ufi65ndcfT9qWi/Yz5OP7iOt9dNxK8tR6BFmerW7Vg1myp2KXcFJmJXSvwq\nW86gl3DIfSVfxuBFN2FWXEYkQdzkeXkyIoRlqbwzymUa9WUe+bhsLeEol4TSX6ax1YfSrdqG6DUz\ngldb53LQMoXbkIOWwjSNiYZMYfGK3Zi7eAd2//4p3nyjjLeHA0BwU92/ayeWb9zi7aG4DCcO7MPm\ntT/jtwPHXCYmrlQpEbGxPoiM9Lc8mKggPj4Joyauwr6DEdi2bjTeqip+zpz1H5krULxoXqz+3yAc\nP3sdg0f/gB/WHMKKuQMwK3oLNlw9gdZb5mB+g774uEpLuzISDRo0ZE9oDyaOZCB2Nmw9gb0gbHR7\nthgUeoyuAN2XnVmsuvhVB47j8OmMjdi68wyO/DUDJUsUsC+QpVyDAcssk7gHc2T2KRe2irNO+py9\nmendmBiY0tJQslx5hYuwPciZDp34khbIqnkE2wuWRmcDJvUNCmGrkikxilFxjTqLTcyVS5g0uD8W\n/bgGhQsVgkFkaQgrIn+tY5R7wpIIr8Vzom14WDz27g1GxEU/tGomMiuEKTEJx2fOXUG3/otR7+2K\nOLtvBgL9fQAzsSWh452ZMas8zHDqQuu3q5bE6d2TseT7vWjSchaGDWiCie+0xaxzW/DJ/lWIiovB\nokYfwiC5olPjEMsZ2XdJRwljLUJX65DtEnMiZTK2sHS85EpM7kulCBawCGGdEcE6lPHXniuwDYZD\nNdw8HZLeDjuTYbhL9JpZN+EcxC5IyEHvSdOYaHAaycmp6PnRMhw5fglH/pomPJRkIfxz6gSq1Kjl\nNTdlVyLuwQMM6fY+Rk+fhVp167m07UrhQgK/iEh/q3M8z2PRtzvQstNcfDG5C1Yu7I/AgIwJZTMD\ng0GPkR81w5k903Hm3A38OeEcZpR/Hz46A769sActNn+Bp8meT0SoQYMG98G7jIm7gq45ozVR1MuE\n7sQeq+KI/oSum8HQ1nbhkJswzZQoZ7NPniag3QfzUbhQMPb+ORV+fkYZKyJjLmhNCe1+DItexBIQ\nTWROVFyBpRmpCqtiaU/43C5FRKBi5det35sKWIkdsS6zEBvWifWs2RTb2hIdpS1RdwVWMiUGlkHc\nwwf4qGNrIXvtBz2tmBIDmyS1QxgSUkaYEoWNWI8RWZFK5Z8CACKjcgNpRGOShrjHL9Bv6DLcu/8M\nx7ZPQplSBYA0kZ2Rh6Qn14B24XX6e2dD1yRrp3hoHmz5cQjWbD6NMcN/Rfvu1bC3cAT2xlxArbWf\n4s/3xliyE7PUOOQuxeS2JD89jPVPIEsHX6M0J4A8BD11Xyrub+U9yjugOVHTeViNyw6rYjN4mh1W\nxRnmRc4+uVxbQiOL6kqyVFA1ObLo9coINMZEg8O4En0ftZtPR83qZbF25TDhoSQL4vbN6yhWsrS3\nh5EpxD14gH5tW6Jp2/YYMmacW/oIDxOYhshLeaTftJNnrqJq/U9RvmwhHP1rqvBQkkXAMAw+6PQO\nLhyaCT6GR551viiTqwCuPLuPWr9Owd6YC94eogYNGlyAnK0xyXAAMhd57Njr21ayPXcwJbb6VNOP\nSOeUDMeRk1fxfu8FmDmpEwb2baqsp1MGSlNtm+hJZLecJby8kgWRe+WoaUpo0Oce3r+P0MJFbNrL\noRYmnsBAZtXibWBW88oRoVNhTPQ2gqbZC57mo2NxM/oqPurSAR179MTQsRNsMiWEJZGX0UyJTqZD\nYUzia5NgExKQitCCyYh94Isb1/XYsHkd5i/dju++6Yd2zV4HYAZMNkLUy19LyfzI3iFRj+w1q76X\n35eEeeM55A/yxbrvBmLTn2cwdMoalO6dH9fxCE1//xxza3fDqGpthGU88nnpVL5/VDA2uecOuf9o\n/QkrYzwsYeoFG57SmsjfouX+TF9zYk/bYZ1YTyUkPc2mOBGEzR7zYuWBQ7+WQ15uaxavVtchbYiN\ne+tV1ZXIoTEmGl4l/Lj2EDr2mo+fvxuCgX2aeHs46SI5OQm+ufy8PYwM4cyxI+jZ6l18NGosho6d\n4Pb+KoW9AAB07vM3dvz9D07vmY52Lau5vV9X4P021XFx7xeoGlkSIRdyg+N5jDmyFh/8tQSJaSnp\nN6BBg4YsiazBmLgzwR9BRnQnmWVOaBs5HNGhuAL2EvRJxyoJ+lgWHMdh3JR12LbrHA5sn4ZwEtmT\nZkrUmBcbCfp43joRmuR5o6obUZY5EhvCbDIrcqsoE+KRPSnkrWxAOaFKdVRuA5o5UQs3b0nQp/TA\nkb82sgzWfb8c//tyFuZ//yMaNK4P4sFCvGnsMybJSltG1JbI/6BNSo8bPi0ZeXJHAygA/1xVsOe3\nN6FneKEO7XlD9iYZY2IiYerteF7QZWr3Oc2U6HXWtrReRGRw8gf5YsO3A7HxzzMY8P1PSGqeirWX\njyLy8W381noUSgUWUISSt+hhxGVIO547vNi/WqI/hmJRLPey3FvMth5KKLe+l+1pTCQbFU8bS/30\nY5M4E25elSmhQX4fnY1NYutcDpr5exQ56LppjIkGVTx7/hLtus+MT97OAAAgAElEQVTD2fPXcWLP\nTMtDSTZASL58eBIX5+1hOIyE+BcY3b83NqxehQ2796FOw0Zu79NkMuOzLzZi36GNAICSxepBr8++\nifI6tamOSytno97F8jDG63A+LgZvrf8MezTdiQYN2Q7ag4kGK1yJvo+ajSejVMkC+PuPSQgOsnYn\nzcooEFoID+7d9fYwHMK540fRtVEd+AcE4Ne/D6JU2bJu7/NWzCM0bDUVZ/65jp+W1QUARF4Jcnu/\n7kZowUDsXjoWC0v1hPGmDk+SE9D8jzmYd/ZP8DkoJbwGDTkdWWMpx5PIzJIO4FgQNsnWyeUdR+s6\n2oYtG1qoKbP5c9c/+HD4Csye0hX9ezVSX6axlXmYtW0juVPKA6Px6ufUhK7OBKmqXLUa/jl1Au3F\nBH5qSzl6sTkTpzwWxqXcW6DmEqy+7CO0qVy6Ied8dCxeJiRg4efTsHvrZkz9egFatW0n2EpB0KwD\no9GCVgNjcQXWi/Y6XixLFZdwzJZ2kJaCdZuO4pMJP2LUkBYYO/hdPHueCACIvBwILiUZLEct4aSK\nxyZK6Koo463PEZAye0uV9BKOSeV+0ovLDHqxTz1Z0pELLU1gAAzqWBvNa1VA4/99g+slHmHMoZ9x\nNjYaKxp9iNy+uQVbevlBJUsxiYNDlnYYRh76XekmTIKxKcSv4l5tmUd8o/SVcAiZDcJG17Mbbp6G\nQvxqYwlH/pnQ5zIqQM2M6NVFyLJuwgSOiM6zCTTGRAMAwGzmMHXObxg65gf8sWaU8FCSTfF2vfo4\ntGd3lpwl8zyPfTu34713qiMh/gW2HT+Dd1u/5/Z+4+OT0H/Yt5g6eyN2rB+D8cNbg2VZhASnIrTA\nSyQmGXDrTh63j8NTKFEkH65++RUG+TUEkwqsu3Ic72ycjhvPH3p7aBo0aEgHWYsx8YQIlsCdQdjo\nPtSQXr/Oug3bsreXqE/Ek+eJ+GDA//AyMQVnDsxCwQJBtgOtAbKgaeouwfLXluRm1iG71cJ403Ao\nKJUkBhTGVT4sHHnzFcCJg/tRu2FjRbI7TnobxE1XLOfVgqelHzmWdjdWE7+S6PLXIi9izmef4uH9\ne5i79DvUbtBQGptecvdNURwLr1MV5yTXYJkNCZomiV1FoStvSsHRE5fR66OlaFA7DGf2TEMeHwZI\nTZJEsJXKPkbsw9yIjMiNUsHiEpiJErsSoatM/CrNIJ1xF1aN6y+KTE16xTHkmhcTxZQQBsUon52T\n6Gki48FzWNazK9pfqor2OxfhP8Sg6i8TsKHlMDQp+aZkI/QpYy84OvGk0rVYqCi6tjPK4Gtytk9y\nf6fub0fuaUdgT9hqsbHtCiwd2wueRh/b+91zJuy8JxP1ZXWmw1XQxK8acgpOnonGWw0noWKFwtiz\nZaLwUJLNwTAM+gweiu+++SpLsCa3b97AxCED0b/je2ja5j3sOH4atRs0dHu/aWkmTP5iA97vvQDf\nzOqJ7xf2Rx5/azfqsHKPAQARV/O6fUzeQNPXXsPtYd8gnCmMZ2mJaLblK3x1RtOdaNCQVZG1GBMC\n+dqyu58CMxuETarr5I+cuwKp2dGPSGBZ8DyPZd/vwfQvf8Oyef3RsW1NpT3NlNgLX8+qsCruDBSX\nDlgGaN+1G1Z/+z/8+L9F6D10uHSOBE0zUzoS5STf8Rw7NFMiT9B343IUVi5agAO7duKDAYPwxbl/\nERAYCB2TBkDUhFBsCHEJVjAmDGVjzxVYLLvwXzR6D/kOoQUC8M/eqQgtEAikvFTapoqh6UvEAgAi\nowKBxETRRphV87SbsEk227ZiSpz4/sjvJ/E1T1gQcg3NMvdccj/RTIm8T1p/ohddgnkOIXo9/us/\nCcP3bcLS6/sx/ug6HL4RhXXvDUNugy8YneynkA7MRiUFFMaoE4eqDIzIy96XzbD1rkqQJ8KefsRi\nY+0KLB3bcwm2x5TYStDnKoYis4n6XIQsry0hyEGMSdZ8MNHgVjx9loAho1Yh8vJdHN01DeXKFPb2\nkFwOvV6PpWs2oPO79VGyfHnUf7e5R/rlOA7HD+zDL8uXIeL8OfQcOBj7/rmAwOBgxZKSu2A2c/hm\nyTbMXbgFsyd3Rr+ub6ebzLBS2UcAgMhr+dw+Pm+CZVgsafYBGkZXRI/dK7Dt3nlUXD4WB3p8hrJ5\nHYsUrEGDBvcjMw8mnQBMA1ARwFsAzrliQFbIDroTQF3LQeAqytiZbLk2mJKz56+jU++FaN28Kk4u\nHaJMwievRzMlajb0OZU+aU8becA0e2Hmpa6klPPi7FM8VqaXV5ax4jiKFi+OJT+vw6CunTBy8lR0\n6d1POseKn0lGhewWbYmwj70dgy0b1uH3tb8gV+7c6DXwIyz/ZQ18/fwkhoSwI8IxxNeEIVHXkcht\nWE5MtJeq1JEAgpbk8tV76D/0WxgMOpzaMQEli+UDUhItg04jTInYv8iYhBe6A0B4MDG/TAbL8taa\nEnoP2PbGsfddpYOpATLaibAilI4EAE/0JuJ3kyF96GXjIfWM1LgMspxOPI+OJSojrPMktN62BDeT\nHiNs1Vj8UH8AelStLdjoiOaCaE1UGAWW0sOIDAoj+w4wks5K1J84oTWx991Q88KRztnQjyjKbOpH\n1BgTXt0WcIwp0bQlnkMOYkwyw7dfANAewCEXjUWDG8FxHOYu/BMtO83F3BndsejL3lk2CZ8rUbVG\nLazZvgvrV63EoK4dEXPjusvajrlxHauWLETXpg3RvkFtPLh/H98s/x7bjpxAl9594evnmbD4ZrMZ\nXy/ehjrNp6FL+5rY+/s44aHEQYQEJiE0bzwSk424FZv9NUaOIDy4MP7pMhkti78Ok4FDzyPf4f2V\ni8DloB93DRqyKzLDmFxy2Sg0uBV37z1B7yHfIs3E4dTemShRPL+3h+RRlK0Yhg17DmLFgnno3KQ+\n3q7fAM3bdUSNuvWQJ9CxP2Kz2Yxb16Jx4ewZnD9zEicOHkBS4ks0bNYCQ8d9itoNGsJoNKo6nbgT\nkZduo/+QpfAx6nBiz0yUKSq+Hyf/XyuVfojYx3kQebMgShV+6vqBZkEEGv2wtdUnmHZ6Cz4/sxW/\nJ59B0emf4MCAyShfIuctb2rI4chBD9XZR2PijSUdgsxSgs4swTjVbvpBqzZvO43Bo77HkA+b4rMx\nHaDTqS3bqARGs7dMYy/XjgheWhZL7004B0YlYBR5rYOwRGEWs8OSAGccD+h9ffDJhIno89FQ/LFh\nHTb9tAoThw5EkeIlULJMWRQrWQp5AgLg65cLZrMJSYmJePrkMR7cu4c7t27i5rVo5C9QEK9Xq443\nqr+FPgMGoeJrlaFjyfKRCYBZsUwjlFmWbsiSjI6xLD/QwdKkQGmQC1vF12niUo4pDampJsz+ehOW\nrPwb08d3wKAe74BlWcENGABSybKPZTxIVpbxsqWdsKL3sPd0GUReDkGrN5OkZR46Hw6fJhe/SmmX\nIQevsj7G0E9sOssxY6CWdyQRrCw4nLRMI7B8PFnCkQtk6aUl0Vbxm0HKxKUYlucwo0oLVM1XDL32\nrkRs/ueotGIcvij9Psb2FrIUS8JY+bIGEcZyrKI9ZZBB0Q1a/H4w1HeJt7Mk40xAQbtLOxldXnEk\neJpT7Tmx3KeJXl95pPdg8jeAUJXyiQD+dLSTaXM2Sa8b1AlHgzrhjlbVkEE8fZaAYWN+xKlz17D5\nl1F4u0Z5xfr3q4o8gYHoOeAj9PhwEFJTUnA1KhI3r1/D3ZhbeJkQj2dPnkBvMMDH1xelypRDrTr1\nUbh4MZQuVwF58lgCkHmaGZHj5Jmr+PDjb1GyaF6c2z8TRQuHKD10MoDwkoJnTsQtta97zke7UlVx\nosNnaPfXYkTjISbFbcLGAafx27RPUKLEq3lNNDiOA0ciceBIpHcHkYMYE1f8vO4HMBq2xa8893St\nC7oRkVUuviefpp15oGBZ7DsUgX5Dv0PbVtUwZ2p35Mrlo96evXD19hgTqwBrpI7lOZcwJpzIXkih\nu2UZWqVzUJ4j5cpzynbkmV5JxmFSJtlA6aYph1MzUpUgVawU8tukOKcmbCUMCWFHiPuv8DpFcY4x\nWQtbyUPH86fP8NkXG7HpjxOYN6MrurZ+w+JxQx5MCNORTI4t4+FTKBZFYkVMOBJRBvXHjUX1sjdw\n8qvPLcxIGmFKxPdutlwDXsaYxDx5ie+PXEdyqhkpaWYYdCyMehYVQgPQ651SlvciMiUKBkVk8STm\nhNgYZJ+RxJgYlMd62dxKPCcxHMTWKNNS0e0QW71w/CwlET32/4Cdty+C5Rn4HTZgXqvuGNCrIRi9\n5b5kJIaEyoQsD21vUyROpXRQQ2YnEc5k87XnCkzgbabEXh8ZsXEAmWFM2ODugGv+Xx0Fz52b6rHO\n2KrTATe+P1dNob04f9RA8OJFIgZ8sgJ9Bi/D0nl9sXBOb+uHEg3ZEn9sO4XX3h6HxKQUXDz8Obp1\nqJWuG7AzCC9+HwAQebswOM663cQUE/ZHxuL7Q9dU6+sYBgYdiwIBvihbwB9Fgv0Q4GtAssk6OikA\n3H+WhKNXH8FkziITDRFBPrmwtfnHmPBmC3AMj5f1UjEpYhMad5qNG7e0cPYaNHgCmdGYtAewCEA+\nANsB/AOghSsGZRdqgb68waJkhWUR2bXYve8/DBqxEu82qoyLx+ciMFAlI7AtpkT+B2eLKXHD7I4O\n462mHyEaFckNkkw2ZTYsFUGesCGSjSIHowMuyg6E9SbMCDnHSjoSa/2ITkzWRoKnESYFkLkAp5Dk\necpAabdiHuHjsd/jcnQsflrcDw3eqSCcS35p0ZEAMoZEDEWfYs2Y0BoTyTaNQzCSEBr0DLHPgnDj\neh6UDIrF9UcJ+PPsbey8eB8nbzxG5SJBaFq+ALjnQttyLUkhgx4T66hkRtYx4BIs7A9hSqJvPcWI\n387j9tNEtKpcGJ2qFUeTSqEw6FiJKeGNFndaxiB+BsRdmbAgcndhooMhwdck12LZTJwOzEbZAoBO\nb8Ss6m3wZt6i6HdwNR4XT0B0sQeo9t5EzBzSEYP7NgKrF9uW9CcqSQXJd4mnGEbpeyt7aKPZFGcS\ngDrEIjip27D1m5pRzYo9uIIp0fQgOSqJX2YeTDaLmwYv4uGj55gwfT32H4rAdws+RNNGr3t7SBpc\ngLQ0E+Yv3YG5C//EJwPfxYbvh8FH594fnvCidxH7LAhRd4ugWMA9tF98CG+XzoshDcph44Da8PfR\nA2nqDIizqF0mH06Pa4J7z5Ow+cI9zN4ZiY/WnMZ3PWugRZWsEeysc5nqqBBUEO13f4ub8XHI+5E/\nvt27Fxu3nMLyBR+ifNlC3h6iBg05EtnHK8cePOmx400owl3zWL/pGEZO/AndO9XGhWNfIU8elbgZ\ndpkOO+HmHUEGlhLkScbMYmI/C/tBmA75TJKcEWzIpEAuUaAZElo/wskDWdkYMquSEI1mcFiFxw0p\nMynO6WSp7GmGhOWJpkPGYlCh5HlTKg4ejcKwsT+gWJEQnNg5EWWKBAJIBZIoxiPZmjGxMCWU1kRW\nxieLAemShbES/UhY/hjsQyVcvF4QzYqm4dyoRiAfF59sBpdstqkxsQmd8oITxoQxCJ9JIb0BQ6qX\nxJDqJRH1OAF5fPTgEkXdTprs+0yxKIzYJ+Nj0X1YhcYXA63xst8FhmZK6LpysHq8ERiK0+3Go+ve\nldh77zLi6ybjDb4oareYjnHDWmLU0JaCpxsJyibXmPCUl5D0O+VA0EK6XA4+Aw+H9hiFzCbfy2wf\nGWnPTcjWnjg56P8vZzyYvGK4eu0+Ph73I+7ee4ptv45D9SqlNY+bHIDYB88wdtJqHDx2CfOmd0bH\n1tUEHUkmPW5sIS4+BSsPRaNkcG50eau4FAE26n4xAMTN1XP0cHhogMf6cgZ5ff2xs8XHGHXydyy5\nuA9rcQqDFzbCzu/+xaY/z2Dlwv6oXLlU+g1p0KDBIWj/ZtkISUmpmPzFBrzTdCqaNKiMc4dmoXqV\n0t4eloZMIi3NhAVLt6Py26NRKDQYEce+xPttqrtU3CpHdOwLDF11EmET/0T0g3hULhIIAAgvLD6Y\nxBZ1S78ZxblbT/DpxvNISE5L39hN0LM6LKrdDUvqdIeOYbHs2j6EDPRHrw9qo3H7OZg6exNSU03p\nN6RBg7vAcZ7b3IycxZjkpCUdatlm+65/MOLTn1D1jZL459BsFC2S1z5LouoKTAns7NWj9yqBozIL\nhs5xQ5Zr5MOjlm5Izhx5hlZOKtMRI+GYZHeF7T8M1VwikiuwcrlGvsSkk5Zw1IOoKfo1i3+osgBp\nBPsO/IPh41ajcMFAHNr6KSqWDAaQBsj/hImbL1mWIcs2aTKXYukcFUQt0dLO86dJGLz6FPZGxmJA\n3TL4b/y7KJjHF3waB+55Cirkvg5AeDAxvUgDy/AWd2GyXKOiMVELqEYguQWLLsE8WcrRydphle7B\nZJmHNwrHoQY97j9OROVJ2zGvS1W0r1LUOj20rL5VDh+ZuzClk1a1kaAn61jEpRgYElYXZfPkRee9\nK/H79bO4lf8xdm4fhRlTt6Ba/U+xcuEA1KxeVnyPlOiVLO2Qe07tO0WLsx0IougQHPlNzOgyTUaW\ncFwVRC0LuAZrcD1y1oNJDkTU5bsYPv5H3L3/FIvn9kGLd9/09pA0uAC378Rh7Gc/4cTpK5j3xQdo\n3+x1cdkmOf3KGYS/jx4NwwpiWbdqyONrkDQmBCG5EhDq/wSxCSGIeVYAJYMfuG0sziA0wBeretXA\nkehHGLz+LNafuoUlfWuiQICvV8bTtGg4jrWbgDY7F+Pso5tof3gRdiwcg4uH7qB9r/no0LoG5kzp\ngjxqnnEaNLgJOenhyhPxR1wbYC2jyKosio1Zz9NnCZj51Wb8vP4wJo/rgMH9msBgEJ4jnWJKHAmi\npmbvCGNCB4qS9UUCrEnZhakgaMJr5TmLraUdiQ2hbOVQq5ceGCqZjJw5kTIak6BpUApcATljIpRZ\nsSOARdhK9uY0JCWl4uuFf2Dh8t0Y0q8xxg9+V4g1IwVIsx1KXhK20uyIrIxPEQWtL0XGJEWWoZeI\nXUXxKyfaQiYybfnLFzgQUwWb2k5C81KnJGEsYUzk7AhnT/QqgqUCqjEqAdYkpkNkSizMieXzZHyF\n+yYFPGb8FYUdl2JxblJT6P0MVjaMr3iPEBbEKBPIUgHWGIOKjeSKbCMYm/j6UVI8OuxZjqMPriHI\nmAtbWnyM1/xLYPTktThw7BKWfd0HzRq9LtWjQ9I7lApCDmeYysxkSrdXL7MC1yzGlEjNubg9bwRY\nMx+f4LHOdG/PAbJBgDUNLkJyciq+WvQnwmqMwcuXKYg48RWGD2ouPZRoyJ7geR6/bTmJ8Jqjcf5C\nDE7/PQ3Tx3dwSwC82GdJ+Pvi/QzVDcsXAwCIelzShSNyHXwNOsxq8xoOjG4k5SnyFvL75cHuViPQ\nruSbeJaaiKbb5uHgk0tYtXgAls7tjcFjfkSvwd8i7vELr45TwysCTWOSDWHrR8wTTIoDP6A8z2Pz\nttMYP3UdXgsrij1/TMJr4cUUNi5jStKr60YoAqOJw+HohX/ZpEoamchecCppc51hSqTmiH6EBE+T\nJwWkwsurugsT11+zyEgQVoSTLY+IWpL//r2KkZPW4OGj51j5TW80qiUKllNeWurRLIjMzdeWCzCf\nJLNJNCExxYT52yOweO8VDKlTBo2LhUjsCGBhSCR34RSluzAAlM8lRHaNuF8Mqc9TJVdbNcaEd4Ax\noRkScszqLcyXTmRGWDGImuQabJAFWBP7ZX2En6xAIwsuMU1yG5bbSHviUqxI4qe8f6w0J3LQvw16\n63vPT6fHxkYfYujxDVgedQjv/7UYS+p0x0f1G+DCwc8xec7vqPzOeMyb0Q3d3q8tLNeJvwdK12Ky\nt6NDIbN6R76vrmIAHGnHE2Hm3YSctPyRk/DqPJhkUfA8jz0HLmLyFxuQmmrC/77uqwVJyyF4FPcC\nU2dtwG9bT2DK2HYY2KMO9Hqdy91/eZ7HhpM38emGf/BWibw4OuH/7J13eBTV24bv2U0jgUASOqGE\nDqFKbwLSBFSkWLArKjZEEVSKiqCi+LOiWD4VsTewg9IEQQERFOm9QygBEkjdMt8fO7OZnZ3d7CbZ\nkuTc1zVXsjNnzry72d2cec7zvmcAKXFFU2JaJB4AYFdGgxKMsGxjNpl4q+cN1I6tzPSNP3Lf6k9J\ny87kqc7DeXnmaK4f2Y07x7/PJ1//yZwXbqVRI1GYTRAAwtWuUATEwCSEcvDGf/czcdqnnDydwROT\nRnDdiK6OpespRB1RCZfaJQZ3HZL+F6NbU13GjXozLkkaX4TOf2I2Ukw8vA56H4mjb1Uhcc28MVJM\nVIVEUlUQmyaTxKbucy2aJlvzsViszP1gGc++9B2jR3Rl+8rpJCbEOYytVsAwm0b1iLgrJnoVxekR\nUTJuJn35Dyt3pDHvxk70qJPgCCvDta2jb0fMdmWfTVFKbHkFKk+KaTcAO8/VJ++CBVlZ60ZVSrxl\n4KhIBksvm1RVRDnmVEcAW55jn1lRQ9wUFHC+OexOFcT9q+ud1ftoXK0i/dvV9hybh/2yD21Am7mj\n/A3VsvemCJ5sO4hasfHcu+YzZmz8kVybhVmdR9C5XQP+XvoUr7yzlK4Dn2LKhGE8ePcgzBpbi/vn\nXXmsfc85FU8DNSVYFNdH4mxTwt4XQZkiTP6zlS/+3XKQ4Te+xLAbXmL0qO7898cLjB7V3TkoEZRe\nFi/bTNteU1i05F9Wfvc4rz17o2NQEkAeG9KStRP70bNR1WL3lRB9geoxZ8ixVeBIds0SiC54tKwV\nz20freerDYdDFsNdzXvyxWV3EiGZmP3vL0xa9w2yLBMVFcFjDw7lz0VP8MPijXQfNJ1/txwMWZwC\nQTgjFJMg8u+Wg0yb+RX/bDnIo+Ov5LP3xlGhgkH9BEGpY/vOozw8eT4HD53kfzNvZOjAdgVKS4Cp\nWinapV5JcWlW+QCncquyOzOF5KrHSqzfQNOrcTUWP9CbK99aTXaeldv7Nw1JHKMaXoJZMnHdivd4\n+b8l2ICXe1yPJEGTRjVZ8f1U5n32O4NGPM/N1/dixuRRxMUZLCchEPiDWMRP4A9//7OfWS9/z9oN\ne5gyYRgLPn6YaO0aHxqKPYXjbeVgleIqM0451YeCbc4w1GJV2p247DOrqw27CHmq6dX/mE2GxdPs\nLvE4p3S0RdjU56fK6PppG82xM6fTefqFhXyx4E+mPnwV991yjyODypJbkDqsTwH2tsaNkfk1x3Hd\nI0cyiDRLVI9xDGbtmsGIPj1YPWbXTOVYlWPq1I1dncrRmF/tVjuNK+xjNZ3YdqoevWKU9XXUqRQf\nvvxM2lRgvelVTQnOK2ijTvM4r2F1PI7QTNeYVPOrulaPc50e179xalIcv47rzeA5q5AkuLWHcWVk\nb+9Yr4ZYJ7obCt036fB6rfm6311cu/z/eO2/JdjtNl7tORpJkpBMEdwxuidXDmzLw1M/pW3Px3jz\nxdsZ2Ld1gTHWKKXYGZhumseXCsHePvPF9Sb4MnXjbBseUzjC9BreiLmDACHLMkt/20L/Yc8y4qaX\n6d2zBXs3vcIDdw/yOCgRlB4sFiuvv/UzLbtMwmazs/2PWYwfOzAgad2yLPPust10evoX1uw5XeL9\n62lWyVEBdvfF0rncQdPqlVg8rjfvrNxLVl7oysQPa9CWBf3HEmWKYM7W5Uxa+5XL8WpV4/nknXt5\n7bmbufeRDxh95xucOp0RomgFpR6RLizwhN1u58dfNvHiaz+Rfu4CUx8ZzrXDuxIV5f2lLhOL8Hkx\nwaoGVZcS8Dqzq2p01RpRnaZXA/XDE3o1xPCYOs2ixmw3MLbqTa/K41+W/cuEKR+RXDuRFQsmktq8\njiPtNz/bdeXgPL1SojO4avZ5MrgePpPFXW//QUaOhaUPXErLWvHYzzvauCgmqkKiqCLWXFd1xPG7\nckxVVRSlxK4pM2+z2kkxOwywuzNTyL+oKDEGSom6T292dSmepksXNiuGVpOmeJpsVwzOirFVNb9q\n05FVY6z6KSrs09KkcgXWTLgMSZbcKtxq43IqCSZNG5NaPl9ZiiAfdzwpELqP+RXJLVk4YCxXL3mL\nlzcvoU5sFR5uN0gJwtHHkH6t6LP6OabP/pY2PR7j+Sev59YbeztSizWfKc/fEd4UVNVZHkRVxPD8\nIlxfqCTlFjEwKSGysnJ5/5OVzH1vKZUqxjBx3BWMGtbFsSS6oEywY9cxJkz9iL37T/LSjNFcMSiw\nPpKPft/Ho59tZHz/ZjwyqDnmPPeBViBoEueoZbI3uyF2WXKsmVMKCdQiiP4ypF4rPuh9C7es/JBH\n1n5F7YoJXNe4s0ub2NhoZk+/nuuGd2PshPeZ/8Vq3njxdlJbhNeCioIwRqQLC1ROnc7grQ+W8fYH\ny+jZtRnvvnonvbo39/lL0S+lxN9F+0oS7Ztef7foLApl8JzVdEqjPvU7Df7/aVOHC8OphujvjLSP\nVfXD6SPRqSPaNsq+s+kZzHjxWz79eg2Tx1/Bdx8+QJTJrqT/KqqFWijNoJS826J7LqnArsXS5Gyl\n6Fm2hYvnc/n1wd6kJsTBRQt2xUdi17RxhqwMWizKPr064thn7C2x6zwmcaRTNeIUZ6zVOXC+OslR\nBQZYux1+v3CR506cxCxJREkSlc1makRG0KNSHFcnVHZ5e5h0HhO7RU0FLmikqiiqKuJLSrKhcqIq\nNbmu7xmnOgJgUtQ5NS6M5BBXZMVOIlm1Vyv8PO23600NO3I8O4PH//qWW5e/T/XoOPrWTS1ooPwJ\nOrSpx7pfnuTt+b/R98qZjLt7II89eCVRURHO9f38G26F4MaouMqEUErKPWJgUgRkWWb933t5Z95y\nvl/0N6Ou7sLy76fSsrm4uylLWK023v1wOU+/8A3DhnRg6+/PUr1avHLQh39MxeSe3o5Vau0lmHHj\njTy7nbUZF/k94yLZ9q3AZezLbewyMAHoEBvLew3qYpchV9oOs9gAACAASURBVJbJsNk4ZbGSGOG+\njlG4IctyyJSUSW0GcDTrHG9sW8nwX+eyevhkWie5f2dERJh54M4BDBt8Cfc/+hHte0/hzRdvo8+l\nrUIQtaDUIBST8onFYuXbn/7mtbcWc/J0BmNv78fsGTdQrWq8332VmFISaLyVwdYfc5mHLvxDov/3\nYFQQzSecPhG9UqJmbhhk3KgKiXqOxmMiW/P5/c+djHvsQ6omVuKXLx6mXat6jsGIuvqvqpToVZD8\nggGL26J7+e6KiZpxI3tRQ9SBiaqmqI8t2Vr/iNVlny3P3WPi7i1x/DybZ+W546dYlXmRxtHR9KwY\nR4+4Qyy9ADuzGtMlepXLS2vGRFU1K0XC8S0S4RDScvNcBTWTJDMvPZ0ok8S1SVWoFKX4SbSl7XUZ\nPxF23wc4kVp/i26qS/W1qF6RD9cfZO+5bJ69ug2oU6xOD4zWY6L3n7h6ThztlWNW3VSeNh71RXP6\nmuCVTiNIy87kmwObuHrxHDYMn0JiTJzrAoGOjqhbO5HvP3mI7xdv4tb73qZ/n9a8+PRoEpNcv2+M\n1Ug/FvHz5/slEOqDUDQEOoQBwgeOHE1n+vPf0LDdQ8x9bwkTHhjKzg0vMenBK4s0KBGEL4ePnOH6\nMXO45d63mDZhGMsWPuYYlASQUxk5bDx4NqDX8EacycQlsRX4qVkK8xrUY0zVJDrFHgRgf36TYvff\nNTaOf7JzuHzXfuafOouluEbKIjI0tRafrj/Eyl2nQnJ9cJSvn9/nVjpUrceBC2e4ccV72Lzc6UqS\nxNVDOrBlzSxiK0TRqsdjfPzFauQQvYaCMKYMZeWIgYkH7HY7vyzbzBXXzqZdr8c5k36Bn798lJU/\nP8nIqzo71jwRlBlycvJ5+vmvad/rUZo3rc32tbO5ZljngMv+f+09Q+fJP/PbjrSAXscbZsmhZiRF\nFNy1N4reA8CBvEbF7r9FhRherV+Hdxsk83tmFiN2HuC/iznF7tdfqlWM5v9u7sQd89eTkR34qThP\nVIiI4pv+d1M1piK/Ht3Os/8sKvSc+EoVmPPCrXz70cO8/s4v9L1iJnv3h+49IxAEkmBMtsr2c58F\n4TIlw/ET5/jws1V88MlK4itV4IG7B3H9iG4lsjx9kVOCi1N0zZcCa4YrEfvQxqd+fHiLFWW1VKM7\nRv2Ujn7aRntMmbqx2yz89MsmHp7yMe1b1+elmaOpV9ux3ozTR6JO22j70U/P5KsFzgxSgfWrAitT\nMR+v3sekTzby9q2duLJpDcexLNfpGm17mzJNY8lxPLZmu0/T6Kd01OmacxYrbx05Tc3ICEZXcTw/\nq+rx1by06szEeUtlLj+ynhgpmyXJHbymi+rfBprxjX42BLNJ5pfMC2zJy2FasuM5O9fGiVBSw2Mc\ng/6IaM0KxGq6sLIvIlZ9HKFpo6SbxzrqBElKP6bYgrpBUoyZ+7/chCnSzBs3dUSKcZwvaa4lqXWG\notSfUa6PASkyyvXJqse0T169eVH3mV1/Lj22k8sXz0GSYNWVE+lRs3FBG6MCa8pnyWaH19/9lede\n/p6H7hnMpPFXupUj8Gsl8mASxGmbUJpeTQk3QHD+v6rItl/vD9rFzIPehAA+P6GY4PCOLPzxLwaN\nmEWrbpM4cPg0n733ABtXPccdN/UpkUGJIPzYtz+NodfM5rHpnzP3xVv5et446iUXf72ZwrDZ7Uz6\ndCPPfLuFpRMv46p2gTNNW2WZeSfSGbR5Lzl2O4MTfJt6jDdnkGQ+Ra4cS5rN86J4/iJJEoMrxzsH\nJaHguata8/PmY/wRhGJ13hiQ3IJJbQdgl2VuXPE+mfm+qUhms4mH7x3MhuUzWb9xL+16Pc7KNdsD\nHK0g7AnfqZwXgR3AZmAhULmwE8q1+XXn7mPM/3w18z//nYb1q3PfnQP47tNHSnz9mrAvnqa9s9Cb\n5oxMdOo+9Q1q8ma080UN8SElWN+39sOhHtP/NDC2ItvJzc3n+Ve+443/W8Kj44by0NgHiTRTUEJe\nr5So5lltmq8npcRLurBqbP1760k270/nj0f7kSCZkC/ku5letYqJUylRTa85rgZXAKtyrEA5sbEt\nK4epB05QyWxmfkpd6kVEgw1y1aep8//q99U37yXdVp092Y1Iij6KJ/TTXVo/qCoWROi/aTQzKRFK\nAKoeIVmU1GKX0vZKirOa5qukBEsaucZZxE0tGKcYW2VNOjRmifgIM9+M7UH9pDjIV9pqTauR+veP\n8tOqMUirxdf0JlitfGTXf050KermCGZ2uJLlx3ay8cxhHlu/gLcuvUVpiwHqTkc/DeomKebYf7hl\n7Fwu79+W56ePJjGhopta4PId5ElJCMT3VAhUC5EeHHYsAR7D8cZ9HpgMPO7thDD/j1nynDqdwatv\nLaZLv2n0G/YsVquN5d9PZc2v07nhmh5iUb0yzk+/bCS160S2bj/CppXPMumBIQEpI++NTilJLB7f\nm8S4wCpx806e5aaqCbyfkkzDGP+vVT/CUWjtoLX4Bthwo0P9RKpWDL0SGmky88GlNxNpMvPOjtWs\nPL7Lr/MlSeLqoR3Z+sfzREVGkNp1EvM+XSnMseWR8FVMllKQprkeKFQiLheKicVi5Zdlm/n4y9Us\nW7mVYUM6MnPqtfTr3Sp8K7MWdzG/QKJXU4zeqF5VFD9wSwHWqSLa353eEuVLWfGEyLKdE2nneGjy\nR/yz+SBv/e82BlzawtFGVUdsGqVDvaO16IqmaVKBPRZNM2jjVEPUhfbU9F/tMZ1SYtP4R/RKidWZ\nEqxt46qi5OfLPFurFvkWyFMFIKvxT5um9LtWJKgrOQyw+/Mbk+9leSeTSVlgzyBr3G6X3PoFsOu+\nedKtVpakZ3JrtUSn8mFzUUwUhURRQWzqooDacvomdZ9ykUglEE0bSS13b9EpJVGaoC06NcZkpIY4\nriHbPCgn3lDlI6WP1lVqMaXd5Ty96WfGrfmMTSOnEanqR96UE1Wpku3EV4rhjRdu5o4bL+Xuh9/n\ni2/+ZO7/bqdRo1qOJkbLRei/P0qx0iBUklLDHcDnhTUK0//Kxcdut7Pqjx3cO+F96rS4n9mv/Uj/\nPq3Zv/k15s29h4GXtQnfQYmgxLDZ7Lz5f0to2/NxGqXUYPPvzzKgjyhU5Qv1zXsBOGxrHPBrRUsS\nX6Vn8N3Z8rmI3WNtBtKwUlW2nTvO3G0ri9zPJW1TWPvrdAb0bU3XgU8x88WF5OSELgNJEETscvA2\nd5YCWwy2KzVtpuKYxC00G6bMKSY7dh3jk6/W8MmXa0ioEsf1I7uzbtkMGjYIvtkubL0lem+IFm/e\nEhVPxyT3O0q/8HbX48k/AgW36MoxWVFKtm0/zJhx/0d0lJmV30+mZbM6DhXFZtGUolfunLWVXPM9\nKCUa/4hHpUTjQ7FnW9l/6gKHjmbQp1kNjSpScFftSSmxaDwmnpQSbYG1rBwLMSYT+fmyYehQcDNv\nsagFzVz3a/fZ7VBLVgcmjcjNc18zR//2UR+7ZuWo53g28JtMEIOZl5Jrc8fBI3SuFEtydJTLYoCq\nQiIpaoaawaMtp29SFBJ1n9Nrol0wUDmmKifOL9l8jQ8pUqcE6n9qz3NrY1BgTX9MV3gNIMZk5uUu\nI7h62bvM3PQztzXrTuWoCrjUHHT7uOqUEwDZTmSEiYkPDGXUVZ2Z+MRntOv1OO/PuZue3Zq7nO3V\nhxLmCIUkuKzccpxVW457azKgkC5uA4YA/Xy5XpkYmOzZd4IFP2zgy4VrOZ2eyXUjuvHjF5NoE+DC\nWILwJC/PwqxXvmfue0uZOWUUd910KSZPq8EGkIOnLzJw1jIeG9SCPs0CMzC2yzLPHzrJ2XwLL9Qv\nuewZgEpSBgnSKc7J1Tkt16GG5NkAWxI0jonm1qQEZh49yTuN6gb0Wlr+2HuamLhIOjZICto1jbiy\nbmsurdmE39P28NJ/S5nR8api9degXjW+mT+e737+m+vHzGHwgHY8/9T1JCVWKqGIBWFFAAuf9Umt\nSZ/Ums7HMz7f5M/plwOTgN5AbiFtgVI8lXPs+FlefvNnOvSeQu+hMzl89AyvzLqZQ1vm8NIzN4lB\nSTnl7037uKT3FLZsO8Km355h7G39QjIoSTuXzaDnl/HwkJbc2av4RcqMsMsyU/YfZ0tWDlPqBGbg\nU1dyqCZH7IF5DnpuSUrkUJ6FPzKzgnI9gB1pmbzwc+jTbSVJ4tlOwwB4dcsyzudll0i/Vw/tyLa1\nLxIXG02rbo/yyZdrhDlWEEzmABVxTPf8A8wt7IRSpZicSDvHtz/9zdffreO/bYcZNrQjLzw9mr69\nUsunX8Qohbek+/ZljRyjeIpyLW/H9MZWnfk1L8/C0y98w3sf/carz97I6JHdHNM0NotrW6fZ1XUF\nYZc5Dw9TOM7pG/A4hWPPtnIhx8IVzy3jpi4NuK97Q2R1VV8v6+B4SgkG93VvLNlWZFnmib3HOZSb\nx7uN6hJhk8jPl51hWQ2elmpy1ZtfjdKFVZKlvfxHdw7amtBOWuV6UOcfNRr/FexzndLRttVm2kpI\njK9RlbQ8C3arZprGpphWleegHpO10zSqIVVJ03Wux6OZ7pGUVGBZY5C9pl1dHv/2P9Iv5JIYF41k\n00/T6B67BK2bnrEbTGfqj+nThzX0qNGQfrWbsfz4Lt7evorH2w/W9Ke+GPqz3Iuw6T+jlSvF8Oqz\nN3HTqO7c9dB7fPLlat586Q4apRQMaH0yyIYYMYXjhSCUii8ifqf1hde7zoBjx8/y6luL6TbgSVp1\ne5R1G/Yw4f4hHN85lw/eGEv/Pq3L56BE4GTjv/vp0Gcy23Yc5d/VsxyDkhBy89w1tG+QyNQhLQN2\njRcOn2RXTi5vN0omNoDv/wLFJPAGWJUBlSsxLKHQGkwlRnyFSAa0rMmCv48E7ZremNjGMV0/Z9tv\nWOw+1Pjxg47tG/LXshlcdmkqXfs/wZPPfU1+vg+ZRAJBEAlLxeTY8bMs/GkDC75fz5btRxg2pAPT\nHx9J316pbqWXw5GwusvQSrb68vDeTLDO831QToqL1+JpsmFb2W7FZrPz4us/8crcRbz8zI3cMLKr\no9iX+mXuNLhqvng9KSXawmhOScHRVtanDRucJysFv+RcK09ekUrr5CqQZ0OmoMy8nOv6E8CunGfN\n068KrEmDVdqrxdMsuVZiZHijbjJRNhP5NtkZml4p0aYC5+vShg3qhrnddNVWDbD2xu4L6apvCde6\nX4YF1greaqrxtuC96MljKmtiV9UP509VOdGuUqzuU36ancqHez96VWR4+2Q+W3+Qu3o2KlBalDaS\nkfnVGbwSj/K+lFwMsh4Mv0b9mQvUlIG1mtGySi22nz/Bj4c2MyLlEuN+Cp6U5oF7KrHjccHnNzIy\ngkcfvIKbrunBvRM/oFPfqbz9yhi6dW7q3rWXz3igv+eEOuIn4auY+E3Y/Jffs+8EX327nh8W/83e\n/Se58vJLmHD/UAZe1pqYGFH0TODKvgMnuWXsXKKjI/lr2Qzq160aNnUY2tdPBECmZO92VUySxLha\n1ZwZOIEkGcfA5BiNsMvumTllhf4tanDPxxvIybcSG+elaEsQkCSJO5v3YMK6b3hv55rCByZFpHat\nBL77ZAJffreeUbe+ytBB7Xn+KUflWIEglIR0YLJz9zEW/riBBT/8xfG0c4y8qjOznhpNr27Ngl6N\ns1yjHWl7Uk8C+U9f7x8xuq6qlMh2vv5uHQ9M+pApE65i3F0DMSE7VBK1rV4psWklAZ2koMoF2tt8\nvadEbeOSe6soJHl6NURTttyi+hlsuscFr6VN+V1NcS14rCk3r1NRrFbZJSxt+PqiaZ5SgbXnu9zk\n69rEkkEVTnGe6pyy16G6t8wcnXJi1J9h5q2XYyp6hcSs2w8Gqoqqjmg7suneY8rjxLhovrm3p0Nx\n0yst/gQtaYM3G7cx6faDm9/k5sadeeyvb1lydDunszOoVkGTSaP3mhiqmUrseuVE116SJK4f3pXL\nL2vNtOe+oXX3R3n9hdsYeVVn9z7dLhEeNwKCskdQ//vb7XbWbdjLD4s38sPijWReyGH4FZ146dmb\n6NWtufCKCLySlZXL+MnzWbVmOz9/MZGO7Rs6DpTwPLzAlWT2cp7qHKUR1QlsynAouax56BYW1JMU\nU5H+tZuz+Og2vj34L3e36BXQ61WpHMcbL97O6JHdufPBd/nw01W8+vwtLuZYQXgj6wfdpZigDEx+\n/2MHC378i4U/bqBKfCzDhnZk3pv30OmShiFJ5Sy36O+ijNDfrpbU38fwNtjYP2K0b+fuo1xz62u0\na1WXjctnUKliTMGApDClROsx0flH3B5TUGbcTSnRtslTVRU7R89mUSdamW7UKB1O30meq7ri4h/J\nc/WPqNkm2sJh6u+yh6wao31GxdP0T9UXIQCgNnvZSneOyE1oJ+sycwxQBQFv+DId/ldmFpuzcxlT\nPRGTrtqk7Oyg4GIev5ht7iqGm5qi7V9tb9O997Vt9E9Afax97h6LsKml7o3OL/CajGzQjsVHt/HD\noc3c3byn5xp1XosgGnzmPfnG7HZ6dG7C5t9n8cpbi+na/wmeeHQE9985UNw0CoJKUN5tD03+iKpJ\nlVj67WS2rJ3NM9OupUvHxmJQIvCJr79bR6/BT/PA3QOZP3cslSpVCHVITnafyKTTtEWcywpc2W+7\nLPPQniOc1Jpvg0iBzyR4mTkA2XY76y4Er55JuDE42ZHVtfLEHvJswfvbR0VF8Nj4K1mz6EkWfP8X\nPQY9xeYth4J2fUERCW1J+hIlKIrJpt9nBeMygjKG1WpjwuT5LFr6D4u/eYwO7RoWqCJhgCzLPDj/\nLx6/qhUJcYEzaP96NpPDuflUD5HvKlQDk5qRkaRZwufvHWxqxVamdUJttpw7zrpTB+hdp0VQr9+s\nSW1++2ka73+8kkEjZ3HDNT14dtp1YgV2QcARkkUJIUkm5xYSZLvvBlVZNjaaGlFSy2Sr19Ru+tiV\nTbZbOXPmHENGPcfuvcfYsHwGHVrXcwxKnOdrzrFZHZtd2dQ26mOrdrMpm36/n5vFzq8bj3I0PYv7\nezdGttgNNpuyue63aTbZLjs2m2OzW2zYLTaXNh+eSOfuWlWx2RzGV+eNi+HLLCPLsjNMbyuW+7qq\neR1tZo6XNW98efv4Q5RJwhLgCqXq6+8VP4KXZbtzKxSjF0b3Oe5Z0zEYXHvqgNvnxGtc+u8Db587\nL5iAu27uw9a1s0lLO0/7Syez4vdthT83QfCxycHbAowYmAjCji3bDtOp7zTapNbjx88nUqVyXKhD\ncsNul5nyxT88M7ItEQGcf996MYeT+Vb6JYRufZOKSmZOHrGcoU7QrmuGACVce+amD9ay/Xj4rHDc\ntXoKAOtPHQhpHFWT4vns/XHMfvoGxjzwDrfd+xbnzl8MaUyCsosYmJRn/FFOitp3IeqIi1Ii21m2\n8j8GDH+OZ6ddw4tPjybCLCnHdUqJqpLYrJo+lDZOBcVACtBLCYqCItuszs1NVVEkigIFxMZPm45g\nNklc1aq2I/3XYgOdOlJwh2EHm92pish2u3OzW5TN6tgK2ji2n06d58qEeExW2S+ByhtFUS+0qok/\nmEyum9F+T1yw2amoNJBMkstqw0ZIZgnJ7J+io+fI2WzOXswrvKGKtxezMInKG8p7+pKqjsUMt547\n4Vs8/iin/pyjxHzVkA5sXTubSpUq0Lr7Yyz88S//riUIGE71NQhboBEDE0HY8M685dx095t88d4D\njB7ZPdTheKVXsxrMv6eHo+5FANmbnUf/KqFfDVYdmBz1f9mLol8zKpJpdaoH7XoAsVER5OSHT/p5\nk/jqmCUT+zPPkG0NnMHaH+LiYpgz+zY+f28cU2Z8yVXXv8jBw6dDHZagDCEGJuGKVk0oynl+nWPg\n/yjuZvQ8PGx2u41nXlzIi6//yJpFT9KnR3N3FcRbH3absqlGC90cvFMBsbnv8yY76H0lGld6lUgz\nLapVLFBT1DsJRR3BpvGV6O84bAWb3e7Y9EqJ+vjdZvVIrRANFF0hKQm0Bli9CuJtU/G03+iYuiVE\nRdApPg6TRikxmSRMJgnJZEIqgaw+vRJjksBe0ipiMWSsKMlESqUkZGQOXkj3fq5hSr7B90FxlFLN\ntXp1b87mNc/TrXNTOl82jXmfrhSrFocS4TERCEoGm83O/RPn8c336/n9pydEQScDAq3K+EKoMnOC\nTZ7VTnSkD4VYgkjduAQAjlw8F+JI3ImOjmTyhGEs/XYKc99bSv9hz7Jnn4/TTgKBB8TApKxSFOWk\npK5ppPYYxGOxWLj9vrns2n2cVT9OpXbNyjqVxEAp0asiRvv8UEWcvhJtjr6bQqK019wx6JUNt/0u\nBbscx+zK5m2uVlVQAok/ioe6qasMH6MRSJJxO0nZNPsiIhyb+liSJCRP5+s21TOi3VSMjqnqh37D\nbCrY1PM9eFay8qxUiAqvgUntWMdKyydzMow/EyWFv31qVJq2reuzdukMrrj8EroPfIpX31qMPRhS\nnqBMIgYmgpCQn2/lhjvnkHYqgx8/f4T4+NhQhyTwQkUpNJk5webD27vQuk6VUIfhQlyEo25IliU8\nPCaeiIgw8/B9Q/hzydMs/OEveg+ZwdbtR0IdVvlBM40c8C3AiIGJIOhYrTauv+M18vNt/PD5RGJj\no0Mdks8cPH2R7LzyWfRLnc45KvuXmVMUbCHyKjSrEU9sdHgtIBqrDEzCxfxaGE0a1WLlz09w/cju\n9Bv2LDNmL8QWhH9mgrKDGJiUBooj2XqbXimpuLz1qztmsVi46a455Obm89UH4wqfz/c4hePFaOtP\nJTEfKpBpjal3vbuWldvSCqZ19NM8WvTGWKOnp04FGXAq38KJvIJS5EUxmfo65eJp6kW7v65Jmc6R\nmvjcn6dNvY7LtZR+JElm9L5DHMjLd5uWMUWaMEWaCh5rNnVKx6RsBS+KVLCZlU1FfezSRp36UY8V\nktccYJwDE5sfA5NQTOVqMJlM3H/XQDateo7f/9hBz8unC/UkwIh0YYGgCMiyzJgH3uF8ZjYLPn6Y\nqKjwujMtDLtd5u/96XRuVDUo11t4+jwfp3nIxAgBqs/kiBxYA+yGrBxy7TIpMaL0OZQ+xURLndqJ\nLPl2Mrff2JvLrnqGmS8uxGoNn3RsQXhSuv4zhDHaEtQhK0vvK4G6k/LSr91u47GnPmf33hOs+H4q\nMdpBiXqeqn54WWXY+VNfxlu7z9NPQF2Ayq1kuF4pMeDomSwqxUSQFBuFnOthOsfPVDp9QTA1NdZu\nlqgfG80Pp8+7naPevOuVEkfokvJYdmsTobzkzhWHlaepXQ1YvRkyEgjqsRdscExuTITZPQ71Z4Tm\nT6v+blaep/rYKC7159yj6dxZKwmzxoRqjlQLrRUUXNP+NDqmKiMuplndMb8wKvAWBCUlX1kfKspU\nwl/X3lYb97QCsRHq58XDa2Eymbj7tn4MGdCOMePepccvTzH/rXtp3rTsepVCQhDSeINFmP8HFZQV\nZr/2I4uX/svPX04qtYuA7Tt5gUY1glfsrGVcDFsu5gTteoWR7FRMGmGXA5PCvO5iFifzLQxLqhyQ\n/r0RrjU4Mi25AFSKLD1eLCOS6yTxy4LHue2G3vQa/DRPPvc1lnK8SKPAM2JgUpoI8byxR7zEJct2\nvvv5L978vyX8unAyiQkV3c/zVkTNbZEzg+JQ+rb6NF8tbj4SXVtDb4qjzfHzOdRJqODan95bYnb3\nMehTU11SWdV9upRXgHoxUUjAQUu+wzvhQ1quupnNEmazZOjl0Ld12cyet4SIDBIkR2bOWXMd7/14\nicPTNW0mmWePn+LR+jWJijQbpv6qHhOzspk0m7Od+lpGmpEizT75R2QTtJ3xCyez8gx8J16qwulw\nWczTW1U5P7hgcZTIrxQZU+Q+AuIx0+NDITlJkrh3zAD+Xf08m/49QJ+hM9m7Py1wMZUntCUPAr0F\nGDEwEQSUvzbu5e7x77Hg44epXSsh1OEUi4rREbSpG7znYJIkBibFs+hsZtCuWRj1FAPsEXvJZ+bk\n2GWurVqFgYnxJd53YWw/nkluvo3qlcJPlbjoVEyKMTAJM+rUTuSHLyZyzfCudBvwJK/MXSTqngic\nCI9JacSf+d9gxGF0SLZz6nQGI295lfdev4tO7VIKsmpK4lr+9OPvF56H9sM61HXf6c2roPMkqJki\nWuuf01NicvVDmBRPxfBaidy/9RBjk6sREaG0Ve5YIgw+vWroBce05dwd51mtxufof3eJXXmr1bfu\nZbOtO0dpQo+IVS7XUivUevOPqD+jIt3bJEZHMqZOVedzV30lACYle0tVk9Q2pkgDH4p6noGfRO9N\nUV/vxVuOM7B1LUxmk9sxtxfBaJ8vikgRVZMzuVkAJESXrVo/JpOJh+4dzBWD2nP7fW/z86//MO/N\ne6ibnBTq0EolnrL7SiNCMREEBIvFyo13vcHN1/XkysEdQh1OqaVtfCwNKkTx/ZmMUIcCQH2zQzE5\nZCtbpem/+fsIozoaDDzDgH0XzgDQsFJwssGCTeOGNVn585NcdmkqHftOZf7nv4et30cQHMTARBAQ\nJs/4kqjICGZOvTbUoZR6xtWpxptHT5MdBkWq6ikDk8NlaGCy59QFjp7LolfT4K5k7Av5NiuHs84i\nIdGgUmKowwkYZrOJKY9czaKvH2XOO79wxbWzST97IdRhlS78rddUnC3AiKmc0ox2OiPQ0zo+TJ2o\nKbhLf9vClwvX8u/qWQ4V3dMbWZ8e7C0VWMWoL6O0YE9tfTmmxyhNVI/ZdYoAQPZwzCh9teCnMkVh\nKoivU0JFbqiVSLZJpmKkiQh74XUg9NM1UJBKrGaHqnelvrwU6ixE44i9cAGO2BphjjBhkmS3NGGv\nUznmgsfZNjuSBDHRjnkd/RSOWVOB1RxtdjlmlC5sck7lKNM+uscARCnBqftMEhsOneWOSxsToaaw\nq38fT/nQ+t+1FHVKx8N5hy6exS7L1K+YSLQ50rBN6UwFggAAIABJREFU2KF9Q/k5fdWhXUPWLp3B\n5BlfcsmlU3j3tTsZ1K9tCQcoCHeEYiIoUU6fyeSOB95h3ptjSUoMXmptWWdscjWqR4X+H1O8KYNE\n0ylyieWkrXaR+8m02Rh74ChfpbvXaQk2N3RpwMxR7UIdhiF7Mk8D0KiMTuMYERkZwf9m3sj7b9zN\nPQ+/z32PfEBubukrLicoOkIxCQCqchDUQmslbYj1w1yqPl9Zlrnn4fe5fkQ3+vdpXeT+ik1xpUa3\nO2SHQiGbYOX2k/RpWcP9rtrsfk2nMqI3tkYU3MHLkbJyulL4zflTY/zUpeeZnY8Lf57aG1b3unOS\ny2Nf+0mJ3MvZvOockxpTP+qYd8XE7HosIkLieL6Fe/cdpXN8HLdrzK4RiipSYGwt6KhARVGUE0VN\n0Rpk0b3eRiqWXrVyGmX1Jey1T0T/uLBjnvopAn+fOQxAm8QQFSMLodG+f5/WbF7zPGPGvUvX/k/y\n2XsP0LJ5ctDjKDUI86tA4M6nX/3Bnn1pzJx6TahDCRg3vLmatIzwKXoWChpE7gPggMV/n8nfF7O5\nbtchhletwrR6NTAZVR0VOFl/+gAAXaulhDiS0BAfH8tXH45n3NhB9LliJi+98bNIKy4HCMWkrBFE\nZUJb1v18RhaPPvUZP3w+kZiYqMJ9Jf5frGjneUKnhni7q3UqHWYTHRsmsW7vGYa3Ue5g9XfpGj+D\nc7Eri+qLsCv9aHwoSnu1rcmpmBT0o35ItbYRqyyzOyePlnExSvhK31bZJRyt2OKtUr++jR7ty9M4\nZi9chEO2JkRFaUrRm93bOkvSR5r4I+Mijx48wezGdehdraBWiVmnkKhqiKqgaI+p6cHOc2IK2nj0\nlkRpAtJ4Sxwd6VKM0SpdXlKBdcec6qg3H0phj7VIJmRZZv3pQwB0qZFiXDo+3CmkXL0vSJLEmJv7\n0qdnS24ZO5dVa7Yz/+17SahSsfCTyxHBWFwvWAjFRFAiTJj6CVcP7UjH9g1DHUpA6Ztak9+2hb5S\n5YGcPMbsOsRHaelBT61MidrjiCHfvyJrHSvF8l3rhvQKg38opSEddW/mac7mZVGzQjz1KpbdjBxf\naZRSg99+eoJGDWvStsfjLFryT6hDEgQIoZgEkJB4TULAmrU7Wb5yK9vWvRi8i5aUMuRtYTb9XZ5Z\nYlD7Ogx7YQWv3djRUVBMzZ4xu/oaQONtUO/GbcpdvubOxq7MCzvVAuWxUbEkrXLSrHIsX7dtxIM7\nD7PmQhbTG9SiTnQUkuJ1URUUo+Jpzp9F+N9skqBFhDKVk9+IqCiJCLPrgoEmg0wZU6SJWMxUVJ9n\nhHvxNE9eE3BXUfQZOABStF4x8ayGvLZyD/lWO4+NaFPwxFScZhmdcqKtaOfmQ/HyGXdTSry85zTf\nFStO7Aage42GzuJ1+jbljaioCF557mauGnwJt937NmNu6cvUR67GbC6/r4kT4TERCBzY7XYemfYJ\nzz15HRUrlp2S2Z5ITa5CdKSZv/anhzoU6sVE8XWbRrSvFMvwLft54+gpbEFQAiqbM6hqPkWuHMtx\ni3tmzjmrle3ZuQGPo6icyMjh+Z+3cfUl4W2kXHRkKwCXJ6eGOJLwo2+vVNYuncGKVVsZOPw5jh0/\nG+qQBCVIcRSTF4ErgHxgH3A7EB7lKQUBRest+fq79cgyjB7V3dig4E3Z8EX18NTG5a5R18Zr/Qnl\nH7e+FIgvWRUmGQmJ63qk8OnaA3RpWs1rdo6k849gU+7oNVKFUwVR/o+rWTraD6ZNVxpdPWY3SUQA\n4xvXYnitRL5OO0tktBlJkjApioTdWhCPqsLYdVKJv1k5AI0r7OXMxeoctjWhUfQJAHbm5vH5yXMs\nPpfJmNpJtKla0aka6X0k2lLyaqz6zBttGzelJMbxKrioIR6OudQxiTQx4Zt/GdOnCU3rJRRk7mjb\neHr/GPhH3NRQrRpSDI9JjjWf5YpiMqSuh4GJN+VEf6wMqiy1ayWw/IdpzHrlezpdNo1P3r2fyy4t\nx4M4oZgAsARIBdoCu4HJJRKRoNSQl2dh6swveX76aEzFMLeVNsb0a8IXaw+SmRM+tRWSK0TxcEpN\nV8k/gDSKcUzn7MxpxPtp6Qzfvp+xuw9TIyqCxe0bc1/d8KuiCvD1hsNsPZbBtOGtC28cQlae2EO2\nNZ9LkupSO65KqMMJW8xmE9MmDufjd+7jprvf5LmXvhNZO2WA4vw3WUrBrep6ILx1UUGJ8+78FTRv\nUrvc3aUkJ8XRv1UtPli5L9Sh+MScY6eZfOA4C9LPczA3v0SMn41jHKXpD+Q2Id1i5dHkGvzWtgn3\n1wmPQnBGnMjIYcIXm3j/9i5UiApve90PR7YAMKReqxBHUjro17sVG1Y8w6/L/+OyK5/h1OnyJ97L\ndjloW6ApqU/nHcDnJdRXmaMsmGBl3ZRKfr6VF1/7kW8/nVACnZeUkVV5fX0o2a7+LWTNNI1bP/qU\nUM00zaNXtWL6N//y0MDmjh2qjKopjKZOnTinCZxSq/Zj50gCNuuOSWbNc9DZNQrKsRfEY1LuEtVV\nitXpGpPNxLXJSaw4e4G1GVm8kZZOps1GkwrRTK9fk5ZxFdDzV2YWx/ItXLDaSbdaOZFn4Ui+hekN\natFcSU9uHr8fgP2Wxrzcqo4Ss7q6sJH51Xh1YCgwwurThV1XF/YwTRPtOV3YmRqsPK4SH827d3Sl\nS7Pq7sZYl2kaJX59PX2jaRpfytb7UoxNQ57Nwlf7NwEwqkF7r20FBdSpnchvP01j+vML6Nr/SRZ8\n/DDt2zQIdViCIlDYwGQpUNNg/xTgR+X3qTh8Jp+VYFyCMOfzBX/SrEktOrQr2+nBnmjfIJHvHukL\n1vCf160TE8XNtZO4qaYj5fRcnoXd2XnU9KBs/JmZxdE8C5XMJpIiI+gSH8fImCjqxUQ52zSOdahF\ne7MbYpclTFL4vw4VoiIY0i5EFVT94Ocj2zmXn027xGTaJAkh2h9MJhMzplxDavNkBo2YxeQJw3jo\n3sFBm+IUlAyFDUwGFHL8NmAI0M9bo+nPf+P8vU/PlvTp2dKX2MocWtWhtKgneqXEsU/mlTcXMeup\n6x07Ajmnq75OcuEqiBuGd7G6gk+yrtCa0Xlq5TDt84yUkQBZict5560pjOZmRrMZ/M2V9uoRVXWw\nalUSJdlJsihqiKqKaBQFu0VJE1bMs3aLUkZfE4MqwVaLNlMtPsbNBKsysannNXBUNaQa2VSLOs3p\n/GqclOpSL/a4cwFC7SKFqrFV3adXRxy/64qmGaX5qmqIW0qwRjFRi615WcSvQCHRqyKav5u+tr7B\n+8itoJrX0vQePuva/Wp/komP920A4OYmXVyLqnn6zihH/i5fuW5EN7p0bMyw0f9j34GTvPzszUQF\ncPpu5ZrtrFyzPWD9+0QYrD5eUhTnL3U5MAnojZvY7Mr0x0cV4zKCcOPX5f8hyzKX9xerfpZnmlbc\nz+mz1diT1ZB6scdDHU6Z4EzuRX4+shWzZGJ0o46hDqdU06BeNVYtepJb73mLS4c8zVfzxlOvbmAW\nQ9TfcM94YWFArlNeKM7AZA4QhWO6B2AtcF+xIxKEPXPe+YUJDwwNrjzq7VpOb4mqhqj12L30p97d\n21WviX/+AaffRLkDdyoTkRoVQk0Pdu4wKi6vXlNyOab9YNpVpSRCUUMibcp+TSqwokTYlPRgVanQ\nGtWcCwQqsWo0Ap/RqiHNKh/kj7Nd2JvThIHR6wr8JAaL5jlVEIOFDD0qJQZKh6eUYG17dd++jByq\nVowmwaWNTkUpqjfE0zF/2+j4v11/YJXtDK3bipqxlY0blZTa6svnt5Qou56oUjmO7z57hBdf/4le\ng5/mu88eKbO+E1GS3kEToD7QXtnEoKQccORoOus37uOaYV1CHUpYcSozlyPpWaEOI6g0reQwwO66\nEH4+o8Nnsxg0exm/7Qj98gG+km+z8uaO3wEYl9ontMGUISRJ4tHxV/K/Z25k0IhZfLHgz1CHJCiE\n8M6ZK8OEe6aOkbcE4OMvV3Pt8K7ExkaX3MWcPhI/Kn0Zzae6KSde7mL1mTvacuPqnYcnr4kWmwWA\nBRuPMP/3vfw2eYBbKqp6H+OunKApyGZ1OSaZCuJTFQCTopDoFRQAu9XR3mRzVUqMPCaevCX69uCq\nkICrGtIy6SAAe7MaElkhwtlWcsnKcc3GMeuUE+3zc8+qMfCY+KCqHL6Yy6BXVzJ+cEtGdGtg2I+b\nt0T79/dwzOWz6k9WjqdztP1JJr4+tJnj2Rm0rFKLAckti7ZoXzkorFZUrrm6K00b1WL4TS+zfdcx\nnp48qmyZYkWBNUF55evv1nPdiG6hDiPsuHdAU5rUjOfuD9aXigXiSoKm8QcB2J3ZALscHl/w+09f\npN+sZdzbrxnjB7cIdTg+I8syr25dAcD4Vn3L1j/MMKJt6/qsXTqDpb9t4aa73iQ3N3yKJAoKEAMT\ngc9s3nKIc+ez6Nm1WahDCTskSeLdu7qx9+QFnlywOdThBIWEqEyqx5wh21aBI1lGVQWCy5Gz2fR/\neQWPDGnJ+EHNQx2OX6xM28PG9CNUjanITY07hzqcMk2N6pVZ8cM0bHY7PS+fTtrJ86EOqWSwy8Hb\nAoyYygkx4Tal42kKB+Cr79Zx/chuvq3kWVJF0zxh+HrppnDU6RpDQ6LSVpXprQWGVNloysbtUq7F\n02QgNjKKHx+9jL4zf6VyxWgmXu56x+4+paNF+SiqhdW0UyhqoTZlesdpKNUaW5UpHJsy3WNkhJOV\nKS79dI0305ykWwlXP7XTPOEgp05UZV9eYxpXcCxsaDJYYdmZHmywNo0+hddwjZsok/ExzTRNclwl\nPr6nJ71a1XQ55tKPpykcl5WDXadcnJ9Nf1cX9rGgmizLPLXpZ8DhLakQUVAvxutUjEgTLjIVKkTx\n+fvjeOZ/39Jr8NP8uvBxGjaoEeqwBArinS3wCVmWWfDDX4wSplevVIuP4dfJA8rN/4xmlQ8CsPN8\nSmgDweF/6dksPNfo8cbS4ztZc3IfidGxjE/tG+pwyg2SJPHEpBFMuH8IPQZNZ/mqraEOqVjINjlo\nW6ARikmYEErlxJtKorLvwEkuXMyhQzvNP6BwWyzLl7RhtztcncoCBUXX9MXYtG10qoqqEchAnRoV\neeTq1mDx8PpoVQedQqIqDLI27diiU1GUY5KlwCCrqh6qMmFkflUThPUKid3LF43J7NnrIJkkUqsf\nhp2OzJzIWFX1cVdMMOtMqyZ386u+jbdUYP05Lvv0SomLsdWDUmLwt5XM+kJrxS1JrzO9SiZkWebJ\nTYsAmNRmIPHRsXjE03dDmKitpZV7xwygRbM6XHf763w49x4GD2gX6pDKPeIdLfCJX5f/x8C+bYQp\nT+BCi4SDAOw6Vy+o19178gJHzpb+9Oyfj2zlrzOHqB5TiQda9g51OOWWPj1b8t2nE7j9/rd56/2l\nhZ8QjgiPiSBQhJvnRGXlmu1cNbhDyXbqS5qw2+tgoHCop8sGxwCXBfqc+zy3KSi6pnoLPIfnFq7m\nd72nRJZlx8DO5c5b9SGosSsqiObD76aiqEqJNg1Wp5Coj7Vp1Z68JGZfpFkD5UQySbSsfQyAneca\nIFeIwiTJrj4Up2Liqgi5+D7Mrt4SIx+K87lK8OGa/UxZsJm5t3ehXt0qBfGobfQqiFG5eS9t3JSS\nCF0xNu3vnoqxaTFQSsBRt2TShu8AeLzdIOIiNSn4xfWWeDu/HBRWKwrdOjdlzS/TGXrtbLJz8nnk\ngaGhDqncUv7efQK/kWWZP9bvpmc3kY1TVLLzrFz67BLW7D4V6lBKlMQKF6gRd5ZsSwyHMwLr7zh+\nPodhr/3Om8t38+vj/RneKbgqTUnzxo5V7Mo4SdP46tzX4tJQhyMAGjesybLvpjL3vSU8Nesb7OE2\nXV1OEIpJmGLk+yhpFcUXbwnAoSNnAMfaEz7jT9E0PS5qiB/nOxdW053rchfrIYvCpLmOmqmjPJTV\n4mda5SWi8I+O86pmibgYM5NHtOH6N1cz9rKmPH5VKyIjTC5tXH5qVQydiqIqA7LWw6IqI06lRD1f\nowToFBN/TGz6bBxHXI59Lasd5mRWIjszG5BS84xrJo/qG1H3Rekeg7tCosvOAZj3xwGmfv0PY/s3\nY8HVrYiqEOkelz7jxqRTULS/F0kN0fpQPPhPvBVY03AyJ5MZ/ywG4OVuo4iKUFZ69qdAWmlQNUqh\nC7xuchJ/LpnB8Jte4kz6Bd548bbSMYVdhhbxK33vGkHQWfvXHrp1alI6PpxhzNBLktkw6wrW7ztD\nt+mL+ffQ2VCHVCI0r3YYgB2n6wfsGlERJpY81p/po9oS5Us6d5gzdeOPZFpyGVI3lSF1W4U6HIGO\nGtUrs/jrx1n7124mPvGpUE6CjBiYCApl3d976NqpcajDKBPUTozlx4l9GTewOUNnrygTBs4WVQ8B\nsON04KZWbuyeQqvkKoU3LAX8eXI/83avI9Jk5uWuYuX1cKVy5ViWfjeFvzft5/b73g77is6yXQ7a\nFmjEVE4porjGWF+nbvT8+9+hkje+GuHP9I9WvXGmCeN6vqGM7Mkga/LYRlI+Ji4fR+fSNl4+Qqq8\nr6xjIyknmUwStw1oysieKVRS7/6d6/O4m1/dpneUuzftVIf6ZSHZXKdyDL9EFMm3SPqXQXG91LrH\nAdiZXg9TbKSHdGHXqQ4jg6wUaeJkRg7VE2KRJMk1XVhvkDWaplGv5UMqcEEcBm08TfMUdXVhjek1\n12phzJpPkZGZ2GYATat4qJhr9BkvjulVGF6LRFJiJX5Z8Dj9hj3DpCc/48UZNwjlOAiId6LAK7Is\n89+2w7RJLd1Gw3CkkuKTKO20qH4EgB0n62K3F+1L++CZLMZ98jetpy1i14nMkgwvrHj630XsyjhJ\niyo1eaL9kFCHI/CBChWi+OHziaz+cwdjH34vfJUTmxy8LcAIxaQUUlTloyicPJVBRISJalXjg3ZN\nQ/R3c76kGHsbdutTiLV33mp5enWX8lDSfFycZ3v7R6yfl1bv0jXl751KgqXAqPvst/9RNymOa7vU\nJzrS7K6i2Eyuj8FNTVGRNF8iBeqJF4+G2t5LYTVn34pakFQpl5rx50jLTOBwTk1SKp4paONUStzT\nhmVZ5s+9Z5izbDe/7UhjzGVN2Pq/q6iRGOt6DlpjrBfTqpuxVX3srq55TAnW7nNbXdqHkvTaeHTp\nwRvPHuV/W5YjIfFer5uIiYh0b6vHSCURykbQqZoUz/Lvp9Fv2DM899L3TJ14dahDKtOId7jAK3v2\npdGkUegXaCtPdG1SjU/W7Kfxw98yY+HmUuFDaVFTUU3Skn0+58u/DnHXvPX0bFadfS9dzazrL6FG\n5QqBCjGk5NksjPn9Y2yynfGt+tKtRsNQhyTwk4oVY/j2k0eY9+lKZr38fajDcUN4TATlhgOHT5FS\nrwTrU2jnZ1VJ1Ju3RF9m3tmPZ08I+m5cmupTiH2Yy9cpJ6D1nejUFS12XVyqUqK9g1f9J2q6st1O\n/47J9Gtbm+1Hz/PWkl10fPoXereoyZfjejnmt50+Es0T1ashTgVFU6hN+VmUtS4M04VVTBIt6xzj\nt91t2JHegKExWwrO05Wk1yom1/RsyPWXNkKKUFQMvX/EX9+HD6nAbgvyeUvz9UF58VhuXvf75L9/\n4L+zx2gUX41nOg1zfA6MlI+iqCHFLaZW0pTCFGFfqV0rgdWLn6L30BnUqZ3ALdeL+jOBQAxMBF45\ndvwcyXWSQh1GuaRlchXm3NGFF66/hA3708PadNey1lEAth8vUEyOnM3i121p/LbjJPPu7u6YltIQ\n4csq1WWARUe28eq234iQTHza53ZitasHC0odtWom8O0nj3DZVc9Qq0YCA/q2DnVIQNFuOMIVMTAR\neOV42jkaNwzycuDaO0C9ilKcwm1gcDen9mNw5631goDrp8WuZuwo4ZgM4rF7UHu0j/WKkF5BAeIi\nTfRpX7vgi0fjNVny33FW7zxJr+Y16Nq4KpViFN+C0ZeUh2wcI2lWMiqtrkczsGjZ4AQAa/dXZ/yX\nm1ixLY0zF/IY1LY2V3WqB9FmpChzQQaO2Yv64E/RMx98H04/icsxL9k0/hRPM1JKNJzIzuD21R8D\n8EynYXSu4WEVZv35vnhLSsprIjwrfpPaIpkFHz3EiJtfYdHXj9GxvZiaK0nEwETglfT0C3Tr1CTU\nYQg8UCcxFhmY9f0WNh04S4OqcbRPSWLMpY3o2TQwJeIv5FgwmyRiYwvu/NU1cw6fqU+9apX45IEm\ntK2XgEmfLlyOsMt2bv39I07nXqR/7eZMbNM/1CEJSpCe3Zrz9itjGHXLq2z47ZmQJwgEw/sRLMTA\nROCVM2cvkJRYMdRhCDyQmlyFZ65tD0C+1caWw+fYdOAsURHGd8Hz1+xn85FzJMZFE18hkrjoCKIj\nTHRrVJWG1dz/zp+tO8iqnac4lZnL0XPZHD2bTXa+lU/H9uCKDnWd7RIrZlGz8nnSMqowqvOlpFQ/\n49ZXeWPGP4tZdnwX1WIqMr/PrZiEMlHmGHFlZ/7bdpiBw2ex5peniIuLCXVIZQIxMBF45cLFXOIr\nFSNTwq+iaX6YYA2/5AsxwYKXPDS7eyNV0ndOs1jd26vr6ihtXO5Z1PPsuqkAbT92u+tPI7OvWjxN\n31Y3RRSNmQ7NqtOhWXXjpcltJhrUjue8xUr6hTwOnM0iK89KTr6N+rXiaRzrXlclsUoFOjetRrX4\naJKT4qhTNY4alWMM/S4t6x0jbUsVdpyuS8N651wPekur9SX11o/pHqfB1XCaxoN5trjF01SUx98f\n+o8Z/y7GJEl83Pd2asVVcWvjUxG1og5mREG1oPHUYyM5dPgMYx96j4/fvT+svWClBTEwEXjl4sVc\nKoq7gDJDn5Y16dPS9/Tvwe3quO7wMiXTss5xVmxJZfuROgzt8F9RQyz1bD93gptXzQfguY7DGJjc\nMsQRCQKJJEnMfekOegx6ijnv/sqDYy8PSRx2YX4VlBdy8yzExHioUOoplddX1DsLb5UU9SqKt2s6\n7wCLo5xoT9CnDWs+LnrVwqAIG5Kiopj0qojmn7tdVxjNSA3xdMzItOpBTXGhOAuSGZkylX0tU9IA\n2HasLkTpMk98UR+KoKq4LM/gdr4PptWiKjgelJLzllyGL/8/LlrzuK5hBya1Heh+TnGVknBLD1Yp\nw2nChVGhQhTffPQQ3Qc+RbtWgVvMsrxQft9JAp+wWGxERYrxq6BwUus51szZcbhWiCMJDVa7jRt/\nm8eezFO0SazDe5feLGT9ckTDBjWY/9a9jL5zTkiuXwoKrD2C464vsbCG4j+OwCs2ux1TsO+EjNKF\nvflPPB2TDO6YvRVfc8ODcmKE+knSlqhXU4qdvhidggLuPhSjFGNPKohRG7XAmlfFpBiSr5c04paN\nTgOw/Ugt7KYITCbZWG3QP/ZD6fDqHymKV8XoeflZPA1AliTuX/c1i49uIzE6jm8H3ENcZLRhW7fr\n+IpIDw57BvVry523XMbM2QtDHUq4URcYABzypbF4hwq8YpIk7MWR/gXlhsRK2dRMyCA7L5pDpwq9\nKSpTzNr8K/+3cw0x5kh+GHQvKfFVQx2SIERMmTAsJNeV7fagbUXgZeBRXxsLxUTglYgIE1ZbCQxM\nvCoePnhN9LioIB4ydZxqi8HdsC/Kid7PYqCG+OYNcVVDJG0bTz4Ul8UBVRXEeKE+j9f31KakMFBB\nUlPSSDtXme3H65JS74JnpcRIeSmKf8TL+UXOuNG3LcQb8vGe9Uz7+wckJD7pezvdazQybu+LUlGk\nc0I8XVSOvSVGREeXjVXDS5BhwFHAZ0e8GJgIvBITE0VeniXUYQhKCS3qn2T5pmZsP1iToV23hzqc\ngLP82E7G/O6o7PpKt1GMSGkf4ogE5ZUQl6RfChil+00FJgMaF7hb8Wk3xMBE4JWY6Eiyc/JDHYag\nlNCyvpKZc7Dsr0i99tR+hi97B6tsZ0Lr/jzY6rJQhyQQBIQ1aRn8cTLDW5MBHva3AlKAzcrjZGAj\n0Bk45akzMTAReKVyfCyZF3JCF4B+CshoSqiw4mvatnpDrN+pxCp+GGN9mBLSG2TRrHcny/ppGgOD\nq91DHMHwB2mk/NRGju+aHUdqQVSkYRv9Y0n/9/LF2GrUr8epHD+mfbTop3A0bTadOcyQJW9x0ZLH\njY07M7vLcNe2Rv0YxeypjS/4M4UjDK9lnkCWpO9RPZ4e1QtK7r+45Yivp24FtIutHQA6AGe9nSTe\nrQKvVI6vQEZmdqjDEJQSWjY4CcD2gzWw28tmquzWs8cZtHgOGfk5jExpz7zet4hy8wKBb/g0ehKK\nicArSUmVSD970XsjfwqteV052IsJ1pNyot3nS9l6vSHWm3Ki4ktKsUlVMQxMufrXxci4q08X1uCm\npigYr2is32f2cqwIeDM6mkwkVrVSMymTtPR4Dp2pSkptR2l6tzRfb316K4ymf+y1jR/9eFM6NOfs\nOn+SAYtfJz0vi6F1W/Fp3zuIMJn9K56m79/vY2GilAjTq8B/GvrSSLyzBF6pXjWeU6e9zi0KBC6k\npjimc7YfCMzqxqFid8ZJ+i96jZM5mfSv05yv+99NlFnc2wnCA9kmB20LNOJTJfBKzRpV2L33RHAv\nqr0j1KsnRh6TwsrW+6OcgGf1RNuNm29EPUnrfdGpKEYKisd+NDinRFzThl3um9XzzLrHWszuu0Dj\nYTHAzf/hDeW5tGh4muV/N2b7wVpc0eeAro0Xv4f+sTd1xfCYHz4UFV+UDkliy9ljDFz0OidzMulV\nszHfDryPGLWAWmHn6ynNSolQSQRBQAxMBF6pWyeJFau2hToMQSkitaGimOwvG4rJ36cPcfniOZzN\ny6J/neauVV0FgjAhkObXYCMGJgKv1EtO4tCRM4Hp3FvRNWcbP4qv+bLgnz9F2FT88Z8Y+Ud88aF4\n8+no1RSjm1Y3o6muKJsXim1R1akgqU3SAdhlX1ZLAAAQVklEQVR+sDpE6GQanzwm3pQSyY+2PmS/\nePO+SBJr0vYy9Jc3uWDJ5cp6bfiy/93ERES6n+8tHk9tfTnmb/E0YcIVlAHEwETglYYNqrPv4Elk\nWRYLkgl8omVDZc2c/dWw20uv+r/06A6uXvIWOTYL1zXswEeXjSHS5GE+TCAIMfYypJiU0q8MQbBI\nqFKR6KgITp3ODHUoglJCYuUcala9QHZuFIdOVAl1OEXikz3rueLXN8mxWbitaTc+6XuHGJQIBEFC\nKCaCQmnRtA7bdx2lRvXK3hsaTmP4gC9TOp7OMTrP05SONi6vkreH9F5v4Zm9PAe3aRojg6zsoa2H\nfZ7a6AlygTWV1EZnSDtTie0Ha5BS3yDd3J+0YaM2vpzvT7EzRQ2UZZnnN//K1A3fAzC+VT9e6jbK\nvU5JSUzhlJTRNRiUVtmrHBHikvQlini3CQqlZfNktu44GuowBKWIFo0c0znb9lULcSS+Y7XbuO+P\nz5m64XskJF7udg2vdL9WFE8TCIKMUEwEhdK2VT02bj5QeMNA4k/xNW/7PaUSe0s/NkopVimKimKk\n4Jj0j7WF0XRqiv5cI/Sm2mCgLU3fxFFxevu+ao79Xguz+WFo9dbGl5V53VQVx7WzLHmMXvE+Px3e\nQow5ko/73sHIhpd47sdjf0U0v+ri8QtRRE1A2crKEe86QaF0aJfCpn9DPDARlCpSGzsyubbvqxri\nSArnWNZ5+v70Cj8d3kJidBzLhj5cMCgRCARBRygmgkJp3bIeu/aeIC/PQnR0ZOEngH9l6lWKmz5c\nmHKiPeZLETY3vPhHvDRxYqSg6OMw9JjowzBQVZzHPKgrvlISSotJomUzRyn67fuSsJvMBd0VUtLe\n62PwT5HwkAKsZe2pA4xc8jZpOZmkVKrKosHjaFalpu/9FSUuwzZCKREUD6GYCMoVFSpE0ahBDbbt\nFD4TgW8kVsmlZrWLZOdEcehYIabpEDFv15/0/fFl0nIy6Vu7GeuHTy4YlAgEgpAhFBOBT3Rol8Lf\n/+znkrYpgb+Yt4wbZxs/y9Z7OmboG/HgPzGKS3+n668PRUWvpnjLcPKmRnlNNvIhEH9SYgu5q05t\nkk7a6Yps31+VlJQs//vxJavGWz9GKoRkwmK3MXHdN8zZugKAB1L78lK3a4n0tO5NoJSSombeCDOu\noIwj3uECn+jSsTHrNuwJdRiCUkSLxo4KsNv2hI/P5EzuRQYveo05W1cQaTLzf5fezOs9rvc8KBEI\nSgliET9BuaNbpya8+tbiUIchKEU4S9PvSQpxJA7+PLmP65e/z9Gsc9SoEM+CAffQvWajUIclEAh0\niIGJwCdap9bl9JlMjp84R+1aCb6fWBQTrJbiGGK9ripsMt4PRTPGepra0fan4u9L4UvasbNvL50H\ny9CoXCe1+XlAycwpqbRar9Mqutde6UeWZV7esozJ6xdile10q9GQL/uPJblion/X8MnEGiCjq699\nFwdheC3VyMEophgkxDtR4BMmk4nePVqwcs32UIciKCW0dComiUEpQGvEubwshi95i0nrvsEq25nQ\nZgArr5zoeVAiEAhCjlBMBD7Tv09rlqz4jxuu6RH8i5fUSsRFSSlW8bZKsVd8UDo8NHXBl9fA7EUJ\nChQeXovEBAs1q2WRdjqOQ8eqkFIv07fXzR9VxEscG04d5Lrl73LwQjpVomKZ1/d2hjVo58e1Skgh\ncbYNs5RgFaGUlAlESXpBuWTwgLb8snwz9jIkGQoCS2pTpQLsnuApFHbZzkv/LaXnD7M5eCGdjtXq\ns3HkNPdBiUAgCEuEYiLwmZT61UmoEsc//x2kQ7uG/p1cXK+Jij/KiYo/xdi0x5zn+5FabHSe27Fi\n+kD8eQm9xVUU/LyDb9HkHMv/qMu2PUkM7X/Yt+fnhyqi5+jFc9y+aj7Lj+0A4P7Uvvyv2zVEm5XC\ngD5dP4RekmCmAgulpExRlgqsiYGJwC8GXtaGJSu2+D8wEZRLnIrJ7sArJt/s38jY1Z9wLi+bajGV\neK/3rVzZoG3ArysQCEoWMTAR+MXl/doy6+XvmTxhWNE68FY4zB98KcLmbOtDMTYt3vwn+jYl5kNx\ndlB4E7NSBM2bl8Yr3jwuJbv4X2pzpTT93kRHn76oCH4qFhfycxn/x+d8uPtPAAbXbcX7fW6jZkUf\nssfCwUfi7zWKi1BKyiT2MqSYiHeowC/69mrJf9sOcyY9M9ShCEoBLZsoA5PdCQHJzPkzbS/tF8zg\nw91/EmOOZE6PG/hp8IPUjA3PMvgCgaBwxMBE4BcxMVH079OKH3/ZFOpQBKWAxIQ8albPIjsnkkNH\nK5VYvznWfCat/ZpLf5jN/szTtE1K5u+R07i/VV+koqoWAoEgLBBTOQK/GTWsCx99vprbb+xTvI6C\naYh1tvUjpVilpAyyns71F2/F3IqL2Y+1cnwktek50k7FsX1PIikNsn0/0cPrtP7kfm5fOY+d59Mw\nSRKPth/M052GFRhci9Cn322cbYvxNxDTN4ISRKQLC8o1V15+CX/+tVtM5wh8okVTx3TOtmIaYHOt\nFh5b9w09vn+enefTaF6lJn8Mn8LzXUf5NigRCASlAqGYCPwmLi6Gy/u3ZeGPG7j7tn6hDqeAoign\nKkUpymbUxqVPH4yk/qgpHtOPS5AAXCO1mVKaXjsw8bP/DWcOcduK99lx7gQmSWJiu8uZ0elqYiIM\nBiR+KR5BUkf8vVZJIZSSckNZShcW71pBkbh2eFe++nZdqMMQlAIKUoar+H1utiWPR9d9Q7eFz7Lj\n3AmaVq7B6qsfZ3a3a4wHJQKBoNQjFBNBkRjcvx13jnvX/0X9jCgpr4mKP8qJ8xwvKcX6fo3wx4ei\nxaeCaiWkYvikJJW82tCymWPKb/vuBOyyyfNT1h1YdnQ796z6iP2Zp5GQmNB2IDM7D6dCRFTRX4ui\nnCeUEkEpQHhMBOWeChWiuPqKTny+4M9QhyIIcxyZOdlKZk7FQtun517kjhUfMPDHl9ifeZrWicms\nHTGF/3W/zjEoEQgEZRqhmAiKzM3X9eTBR+cz4f4hJZOiGSjlREtJ+0/8uZYvd85FVVVUvL12wbpz\nN4g3tdl50k7Fes3MkWWZL/f+xfg1n3M69wLR5gie6DiMSe0uJ9Lsx1dVcZ9nacm0MUIoJeUW4TER\nCIA+PVuSl29h7V97Qh2KIMxxZubsMp72O3whnSsXvcYNy97ldO4FetduxubrZjKlwxX+DUoEAkGp\npzif+JnAVYAMpAO3AUdKICZBKUGSJO669TLe+2gF3bs0DXU4gjAmtbmSmbPL1QBrs9t5c+sKpq5f\nSJY1jypRsczudg13tOiJySQGJAKBrwjFxMFsoC38f3t3HmJVFQdw/DsTSla072JIpaGGbRZSYdqC\nVlREe2SLRKDtf0SLVESUQVDR8le0UVnZwlBMWEM4VlaSUWquZFhYpJVRllnqvP444zLNm7f47nZm\nvh+48Oa9d+b85sx97577O+eey9FAC3BvIhH1Ue0fL847hB1y5aVjaGmdx7p1fyf3S5ubt21lNNRW\nTc31p9ubmrpv9dT1/21HytRafru2a/90ede2zGorY9slw3tu/TsXrv2Bk1umccucV/hr0z9cdNjx\nLL78Qa4dMbb2Tkm97dOtfPh/ts9ZWt//tqc48lCl7ZMU6/eU4tLInrxuu8e7Ab80GEufFusH/oD9\n92DMicOY0ZLdpcPtc5ZkVlfM2j9ZlncIW636cRYwni/mX8D4ix/hkRkzOe71+5i7+lsG7roXLWfe\nxGvjp+R2jxv3qdrE+j3VF5Q2lzLb0tZorvQBYCKwHhjdeDiK0XVXn8o9D77OpCvGJn+fkqQnxG5R\ny6W8FcvvwATZnuquN46az8ybGq9rh+veprVtPnc/NB1YQ6kEbbPh2+/WMPTs/Tll3DCmjb6Q3fsP\nSKSustJYuj/PSa5OcFUvV20PbwMWltnO6Xx9KnAI8DzwaDohqugmnH4Uv//xN4uWrMo7FBXQE0+3\nsWLlmi7PrVj5MwMX7c1TYyaW75RI6rOSOpU4BHgXOLLMa98AhyVUjyRJRbcCODzD+kqLjzois8qG\nz18GyfUfumlkKGcIsOU60fOAL3t4X5b/HEmSFLFGOibTgCOAzYTe4eREIpIkSXVJehpenhrpmFyY\nWBSSJElkt/Lr/cB84CvgA2BQRvXG5mFgCaGt3gLyuXay+C4CFhGydcfmHEtRTQCWEoZbb885lqJ6\nFlhNmNCvygYBswifu6+Bm/INp7B2BuYSjnWLCSMLmejoyG5LW1YdExdjq837wAhCWy0H7sw3nMJa\nCJwPfJh3IAW1E/AkoXMyHLgMGJZrRMX0HKGNVN1G4FbC99No4Hrcp8rZAIwjHOtGdj4+OdeIIpTV\nms8uxlabtu0ezwUuyCuQgluadwAFdwLhariVnT+/Spig7ipiXX0EDM47iEj81LkB/EnYlw7Gfaqc\nLXep7E84SVibRaW9aY5Jliv1PAB8D1wFPJRhvbGaRLgEW6rXQLret2pV53NSEgYDxxBOntRdM2Eo\nZzVh+MvlcuuUZMakDTiwzPN3Ae8QFmObCtxBWIztmgTrjkm1doLQTv8C07MKqoBqaSeV13vu5qWi\n2Q14A7iZkDlRdx2EoZw9gPeAsUB76pX2ok99kh2TM2p833T6diagWjtdDZwFnJZ+KIVW6/6k7n6g\n6wTzQYSsidSIfsCbwEuEuYKq7HegFRhFBh2T3iSroZwh2z2utBhbXzcBuI3QRhtyjiUWqa0+GLF5\nhM/cYMI49yXA23kGpOg1Ac8QhiUeyzmWItsX6LyFNgMIJ1ge7+qU1eRXF2OrzROEA8mWSbCfAlPy\nC6ewzgceJ3wJtBI++GfmGlGxbAJuIKSRdyIcUJyk2N0rwCnAPoQ5OfcQrtRRdycBVwAL2HagvROY\nmVtExXQQ8ALhpL8ZeJGwREbqetPkV882JUmKW2ne0OzulTNqeXHvlSNJkgqgN2VMsrxcWJIkqSIz\nJpIkRc6MiSRJUgrMmEiSFDkzJpIkSSkwYyJJUuTMmEiSJKXAjIkkSZEzYyJJkpQCOyaSJKkwHMqR\nJClyDuVIkiSlwIyJJEmRM2MiSZKUAjMmkiRFrlQq5R1CYsyYSJKkwjBjIklS5Ao+x+RGYAqwGWgF\nbq/0ZjsmkiQpLeOAc4GRwEZgv2oF7JhIkhS5AmdMJgPTCJ0SgJ+rFXCOiSRJSssQYAzwGdAOjKpW\nwIyJJElqRBtwYJnnpxL6GXsBo4HjgRnAoZV+mR0TSZIil+ZQzoKN61mwaX2lt5xR4bXJwFudjz8H\nOoB9gF97KmDHRJIk9Whkv10Y2W+XrT+/vGFtPcVbgFOB2cBQoD8VOiVgx0SSpOgVePLrs53bQuBf\n4MpqBeyYSJKktGwEJtZTwI6JJEmRK3DGpG5eLixJkgrDjIkkSZEzYyJJkpQCMyaSJEXOjIkkSVIK\nzJhIkhS5jlLeESTHjIkkSSoMOyaSJKkwHMqRJClyTn6VJElKgRkTSZIiZ8ZEkiQpBWZMJEmKnBkT\nSZKkFJgxkSQpcmZMJEmSUtCUdwCSJKkhWS9I/xuwd8Z1SpIkSZIkSZIkSZIkSZIkSZIkSerRf5jx\nlYLK7qP9AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "plt.pcolor(xt, yt, zt, cmap='RdYlBu'); plt.colorbar();\n", "plt.contour(xt, yt, zt, colors='k');\n", "plt.plot(x0, y0, lw=2);\n", "plt.plot(res.x, y0, lw=2);\n", "plt.plot([a[0], b[0]], [a[1], b[1]], 'ok')\n", "plt.axis('image');\n", "plt.legend(['Initial path', \"Optimal route\"]);" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original length 12.1609182697\n", "Desired error not necessarily achieved due to precision loss.\n", "Final length 8.45388285986\n" ] } ], "source": [ "x0 = xn - np.sin(np.pi*yn/3)\n", "y0 = yn\n", "print \"Original length\", len_fun(x0,y0,peaks,a,b)\n", "res = opt.minimize(len_fun, np.hstack([x0]), args=(y0,peaks, a,b))\n", "print res.message\n", "print \"Final length\", len_fun(res.x,y0,peaks,a,b)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAI9CAYAAAAO37MeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIiIiIiIiIiIT0PwILdWXjzGldAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "plt.pcolor(xt, yt, zt, cmap='RdYlBu'); plt.colorbar();\n", "plt.contour(xt, yt, zt, colors='k');\n", "plt.plot(x0, y0, lw=2);\n", "plt.plot(res.x, y0, lw=2);\n", "plt.plot([a[0], b[0]], [a[1], b[1]], 'ok')\n", "plt.axis('image');\n", "plt.legend(['Initial path', \"Optimal route\"]);" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original length 30.2191258341\n", "Desired error not necessarily achieved due to precision loss.\n", "Final length 8.45388286013\n" ] } ], "source": [ "x0 = xn - 0.2*np.sin(5*np.pi*yn/3)\n", "y0 = yn\n", "print \"Original length\", len_fun(x0,y0,peaks,a,b)\n", "res = opt.minimize(len_fun, np.hstack([x0]), args=(y0,peaks, a,b))\n", "print res.message\n", "print \"Final length\", len_fun(res.x,y0,peaks,a,b)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAI9CAYAAAAO37MeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERERERERERERERERERERERGRkP4fZSmtQNB5W9YAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "plt.pcolor(xt, yt, zt, cmap='RdYlBu'); plt.colorbar();\n", "plt.contour(xt, yt, zt, colors='k');\n", "plt.plot(x0, y0, lw=2);\n", "plt.plot(res.x, y0, lw=2);\n", "plt.plot([a[0], b[0]], [a[1], b[1]], 'ok')\n", "plt.axis('image');\n", "plt.legend(['Initial path', \"Optimal route\"]);" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original length 24.2998471457\n", "Desired error not necessarily achieved due to precision loss.\n", "Final length 8.61668270855\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python2.7/dist-packages/ipykernel/__main__.py:2: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", " from ipykernel import kernelapp as app\n" ] } ], "source": [ "x0 = -0.5 + 1/3*yn\n", "x0[len(x0)/2+1:-1] = -0.5\n", "y0 = yn\n", "print \"Original length\", len_fun(x0,y0,peaks,a,b)\n", "res = opt.minimize(len_fun, np.hstack([x0]), args=(y0,peaks, a,b))\n", "print res.message\n", "print \"Final length\", len_fun(res.x,y0,peaks,a,b)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAI9CAYAAAAO37MeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "plt.pcolor(xt, yt, zt, cmap='RdYlBu'); plt.colorbar();\n", "plt.contour(xt, yt, zt, colors='k');\n", "plt.plot(x0, y0, lw=2);\n", "plt.plot(res.x, y0, 'x-', lw=2);\n", "plt.plot([a[0], b[0]], [a[1], b[1]], 'ok')\n", "plt.axis('image');\n", "plt.legend(['Initial path', \"Optimal route\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Computing the slopes" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def tangents(x0, x1, a, b):\n", " tx = np.zeros_like(x0)\n", " ty = np.zeros_like(x0)\n", " n = len(x0)\n", " for k in xrange(0,n):\n", " if k==0:\n", " t1 = np.array([x0[k] - a[0], x1[k] - a[1]])\n", " t2 = np.array([x0[k+1] - x0[k], x1[k+1] - x1[k]])\n", " elif k==n-1:\n", " t1 = np.array([x0[k] - x0[k-1], x1[k] - x1[k-1]])\n", " t2 = np.array([b[0] - x0[k], b[1] - x1[k]])\n", " else:\n", " t1 = np.array([x0[k] - x0[k-1], x1[k] - x1[k-1]])\n", " t2 = np.array([x0[k+1] - x0[k], x1[k+1] - x1[k]])\n", " \n", " t1 = t1/np.linalg.norm(t1)\n", " t2 = t2/np.linalg.norm(t2)\n", " tx[k] = 0.5*(t1[0] + t2[0])\n", " ty[k] = 0.5*(t1[1] + t2[1])\n", " \n", " return tx, ty" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x0 = xn - np.sin(np.pi*yn/3)\n", "y0 = yn" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tx, ty = tangents(x0, y0, a, b)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAI9CAYAAAAO37MeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "plt.pcolor(xt, yt, zt, cmap='RdYlBu'); plt.colorbar();\n", "plt.contour(xt, yt, zt, colors='k');\n", "plt.plot(x0, y0, lw=2);\n", "plt.plot([a[0], b[0]], [a[1], b[1]], 'ok')\n", "plt.quiver(x0[::10], y0[::10], tx[::10], ty[::10])\n", "plt.axis('image');" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def slopes(x0, y0, a, b, f, g):\n", " tx, ty = tangents(x0, y0, a, b)\n", " gx, gy = g(x0, y0)\n", " return tx*gx + ty*gy\n", " " ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "slp = slopes(x0, y0, a, b, peaks, peaks_diff)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAEACAYAAACqOy3+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiIiIiIiIiIiIiIiIiIiIiIiRe7/A2Fntpr57xtmAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(y0, slp);" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAI9CAYAAAAO37MeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npv0/+0nfzg4p7vgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "plt.pcolor(xt, yt, zt, cmap='RdYlBu'); plt.colorbar();\n", "plt.contour(xt, yt, zt, colors='k');\n", "plt.plot([a[0], b[0]], [a[1], b[1]], 'ok')\n", "plt.scatter(x0, y0, c=abs(slp), lw=0); plt.colorbar();\n", "plt.axis('image');" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open('./styles/custom_barba.css', 'r').read()\n", " return HTML(styles)\n", "css_styling()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }