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@tspspi
Created May 8, 2022 18:50
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Simple time series correlations using bivariate / Pearson correlation coefficient
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{
"cells": [
{
"cell_type": "markdown",
"id": "1a4af87e",
"metadata": {},
"source": [
"## Bivariate correlation coefficient\n",
"\n",
"First lets define the bivariate correlation coefficient (also called Pearson correlation coefficient):\n",
"\n",
"$$\n",
"\\rho_{X,Y} = \\frac{cov(X,Y)}{\\sigma_X \\sigma_Y}\n",
"$$\n",
"\n",
"Using the Covariance\n",
"\n",
"$$\n",
"cov(X,Y) = E((X-\\mu_X)(Y-\\mu_Y))\n",
"$$\n",
"\n",
"one can express the correlation coefficient using expectation values:\n",
"\n",
"$$\n",
"\\rho_{X,Y} = \\frac{E((X-\\mu_X)(Y-\\mu_Y))}{\\sigma_X \\sigma_Y}\n",
"$$\n",
"\n",
"Jugling around a little bit one arrives at the following formula:\n",
"\n",
"$$\n",
"r_{XY} = \\frac{(\\sum_{i=0}^{N} x_i y_i) - N * \\mu_x \\mu_y}{(N-1) \\sigma_x \\sigma_y}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "aee56263",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import math\n",
"import random"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e1ca7f6d",
"metadata": {},
"outputs": [],
"source": [
"def sampleMean(dataset):\n",
" sum = 0\n",
" for datapoint in dataset:\n",
" sum = sum + datapoint / len(dataset)\n",
" return sum\n",
"\n",
"def sampleStandardDeviation(dataset, sampleMeanValue = None):\n",
" if not sampleMeanValue:\n",
" sampleMeanValue = sampleMean(dataset)\n",
"\n",
" sum = 0\n",
" for datapoint in dataset:\n",
" sum = sum + (datapoint - sampleMeanValue)*(datapoint - sampleMeanValue) / len(dataset)\n",
"\n",
" return math.sqrt(sum)\n",
"\n",
"def sampleMeanStddev(dataset):\n",
" mean = sampleMean(dataset)\n",
" stddev = sampleStandardDeviation(dataset, mean)\n",
" return mean, stddev\n",
"\n",
"\n",
"def bivariateCorrelation(dataA, dataB):\n",
" if len(dataA) != len(dataB):\n",
" raise ValueError(\"Datasets have to have the same size to calculate the bivariate correlation coefficient\")\n",
"\n",
" # First calculate the sample means and standard deviations\n",
" meana, sigmaa = sampleMeanStddev(dataA)\n",
" meanb, sigmab = sampleMeanStddev(dataB)\n",
"\n",
" # Calculate xi * yi\n",
" sum = 0\n",
" for i in range(len(dataA)):\n",
" sum = sum + dataA[i] * dataB[i]\n",
"\n",
" return (sum - len(dataA) * meana * meanb) / ((len(dataA) - 1) * sigmaa * sigmab)"
]
},
{
"cell_type": "markdown",
"id": "b75d8074",
"metadata": {},
"source": [
"### A simple test for the bivariateCorrelation function\n",
"\n",
"As a first simple test lets pass three different datasets:\n",
"\n",
"* A linear dependent set\n",
"* A linear dependent set with negative coefficient\n",
"* An square function\n",
"\n",
"To make that a little bit more \"exciting\" we're going to add some noise"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "d104bea5",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"data1_A = []\n",
"data1_B = []\n",
"\n",
"data2_A = []\n",
"data2_B = []\n",
"\n",
"data3_A = []\n",
"data3_B = []\n",
"\n",
"datapoints = 1024\n",
"rndsize1 = 1000\n",
"rndsize2 = 1000\n",
"rndsize3 = 100000\n",
"\n",
"for i in range(int(-datapoints/2), int(datapoints/2)):\n",
" data1_A.append(i)\n",
" data1_B.append((3.14 * i + 123) + random.random()*rndsize1)\n",
" \n",
" data2_A.append(i)\n",
" data2_B.append((-3.14 * i + 123) + random.random()*rndsize2)\n",
"\n",
" data3_A.append(i)\n",
" data3_B.append((i * i - 10) + random.random()*rndsize3)\n",
"\n",
"## Now calculate R for every of those functions and plot functions ...\n",
"\n",
"r = bivariateCorrelation(data1_A, data1_B)\n",
"plt.scatter(data1_A, data1_B, marker = 'x')\n",
"plt.title(\"Linear dependent, r = {}\".format(r))\n",
"plt.savefig(\"timeseriescorrelation_sampler_lin1.svg\")\n",
"\n",
"plt.show()\n",
"\n",
"r = bivariateCorrelation(data2_A, data2_B)\n",
"plt.scatter(data2_A, data2_B, marker = 'x')\n",
"plt.title(\"Negative linear dependent, r = {}\".format(r))\n",
"plt.savefig(\"timeseriescorrelation_sampler_lin2.svg\")\n",
"plt.show()\n",
"\n",
"r = bivariateCorrelation(data3_A, data3_B)\n",
"plt.scatter(data3_A, data3_B, marker = 'x')\n",
"plt.title(\"Square function, r = {}\".format(r))\n",
"plt.savefig(\"timeseriescorrelation_sampler_square.svg\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "8a24d45b",
"metadata": {},
"source": [
"As one can see the correlation coefficient works exactly as expected. Beware that a correlation coefficient far from 1 or -1 does imply there is no linear correlation - but a coefficient close to 1 or -1 does not imply a correlation in linear form! The correlation coefficient can be used easily to rule out a correspondence but it cannot be used to proof a correspondence and of course no causal relationship"
]
},
{
"cell_type": "markdown",
"id": "36454357",
"metadata": {},
"source": [
"## Applying bivariate correlation to timeseries with shifts"
]
},
{
"cell_type": "markdown",
"id": "7f7bf57d",
"metadata": {},
"source": [
"Now lets take a look what happens when we apply the same correlation coefficient to two datasets sampled at the same interval but with different phase shifts - to make life more easy I'm just going to use sine functions.\n",
"\n",
"* $f_A = a_A * \\sin{i * \\omega_A + \\phi_A} + c_A$\n",
"* $f_B = a_B * \\sin{i * \\omega_B + \\phi_B} + c_B$\n",
"* $f_C = a_C * \\sin{i * \\omega_C + \\phi_C} + c_C$"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "85d3025e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ak+YuKm+ySwHsl+/dKDDPKw9uWuGtLE+AARXKwNb745TSy4BSqCqGYdaAwWRPglmpm+X3uLwAts4vga31v4GFqwAWatoClrvYCmAdpXStcO6TYAbae2Ax+zqwtcHlbbAN+oz89xnhsz5g4aoaMOv/FUrpDt3vfArAv6kWHABKaRPYvZwKtg+8D+BnXDGBAR3qwdCal+XjHjW5tpiE59cupZQW83/y21dkYxtgIJzzYHM/B8BkPvfyd4wAMEPnRXIPOE7+zdVg0Z4zujl5DiyfUQoWLnyWUso9Dx+we1MN5ukcAFO4XJ4AC7VXga37Nymleq9KI0T3228JIYSsB0ssv9bcsbezyNbx85Qhsf4rRPaynpZDi7esEEJeA8sNrWn24A7pkJtQOgq4bmGhlO6D1uvrkFtEKKVvNH9Uh3TIzSsdxIgd0iEd0iEd0mK5JcNWHdIhHdIhHXJjpcPz6JAO6ZAO6ZAWy02V8+jatSuNiYm50cPokA7pkA65peTo0aNXKKVW5JZtIjeV8oiJicGRI0du9DA6pEM6pENuKSGEGLjP2lo6wlYd0iEd0iEd0mLpUB4d0iEd0iEd0mLpUB4d0iEd0iEd0mLpUB4d0iEd0iEd0mLpUB4d0iEd0iEA9DVvHTVwruW/Tnl0LJCWyc06XzfruG426Zgn92TlzhykpGUp80MpRUpaFlbuzGnmzP9e+a9SHh0LpGWycucZzXxJknRTzFfHfXRPOubJPaGUorK+Can7c5X5SknLQur+XFTWN3UoXAv5r1EeHQukZfLWjjPYmVWizJckSUh8Z98Nn6+b8T7ejNb9zThPfFyu/t4IIYQgOTEOM8bEIHV/LnrN34LU/bmYMSYGyYlxIMRlT6T/WrmpuK2GDx9O27JIUHyAuHQsEKOI8xQXEYisIrUdQlxEINJeHAub7cbZHTfTfVy5MweV9U1IToxT3ktJy0KQjyfmju97Q9fVzTRPgDpXQT52VNY7sHBaLJZszkagtx1VDQ4E+Xhi3oR+7T4uLpRS9Jq/RXl9YfnUW2ZfIIQcpZQOb8/vvKkqzNtauIUhPkwdisMofJ4AaOYKwA1XHMDNcx9F6/54fhmGRoaAgmJ9eh6SEqKRsikLQb43ZkOUJAk2m+2mmCdAO1fcIMk4fxVZRVXK6xljYkApvWHjS0nL0ryXkpaFhdNib/h6v1nlv2pWrBYIpfSGu/FcJEly+Xl7CSEEC6fFGt5fsjn7hodlXN3H9hSuxJISonGioAKp6bmK4iAgSE2/MSGiH605gMR39sHpdCJlk26eNmUZ1lh7iBga4p6s+PdGekSUUqRsUj3t88umYEYCC2ElvrMPK3eeafcx3QryX+N5iC78kMhgxUpM3Z/LrB2QdrcSxZAHIQQrd7I8w/jYMLw0sb8y5hvhzvMchyhxEYGKFXujLH0Ayn2ckRCD5OlxmtDMjRjXoukDsT5dpRbi/78RG6IkSaiqb0JWURUGvr4D9U0SvO02NDgkhPh5IjU9F5u+vYSfxEdh3oT+7TYuwNxj5HIjIwCrduXgWP41xQPihkjXAC9kFVUhvneXG+YR3czyX+V5BPl4IikhGkMjQ5CangsCorEa29NK1Cc0JUnCzqwSZBVVYVd2iYJsuhEJTkoplmzORlZRFTr7eeK7pZMVi7GznyeyLlXckNwCf6iDfDwxIyEGFBQrd+YoFm2Qj2e7jmvlzhws3pRpsO653IgN0WazYXxsGEJ87ahvYh5Gg0OCtwdBZCcfAMCV6kZU1jna3SOilOLRd/ebfvbou+k3xKPlwJBvLlZiREwIkhKisT49Dx8eyMeV6kZmoHSEtk3lv8Lz0Cc1KaXIuHAVqem5yjHtbSXq8wrcGuPWT+8FW2/IuPjYAr3tylje2HIar00doMaouwcrMfX2EFHRZpy/ik0vjMGSzdlYn56HuIhAALTd54hSioq6RsXLCPG1IzzYB9nF1coxo5fvxoH5D7b7uKoaHCirc2jeb3BSfHuJhYmSEqKRPL3952vxpkycKKhQ3ouNCES2HLo6UVCOlE1Z7TouPlfcKPrwQL7hmPaep1tJbnvPQ2/hA1CsalFuhHUhKhAum14Yo3kd6G2/IYv3pYn9semFMQp8sc+r25TYNEfJtFe9ACEEr00doCizPq9uUxQH89RKsWpX+9YuEEKwaPpA3NkjEABQVudAdnE1YsMDEOLLbLLiygYs3pTZrhY1n6vOfp6WxxzPL8eqXWfbbUwAG1d2URViwwNwV89gAFAUR1igF2YkxCDIt309R57Xi4sIxLXaJtNjUja1fy7tVpHbXnmIVrSI4dY/XDci4Wrmxg9fulvz+m+H8m9IgnPlzhzF4xAlwMsDSzZnt2s4jY9l4/MJmvdFpE5FXfsnpgkh+PyFezTvZRdXo6zOgdjwACQlRCPY16vdcx7T/7jfcjMEgG8uVqCitrHdQ6FxEUHILq7G0KhOms+mDI7AwsTYG4JKs9lseHBAqOH9EF87hvQMRmp67g3ZG24Fue3DVqJrKsq12ibERgQi7YUxeGPL6XZPuOrdeG8PggYnRZnuob9S3Ygladnt7s6LYSJR3tnzHYD2C6e5GgvAFAhHN63adbZdNyBJkrBkc7bpZ5t/cQ8IITck5xHgbUeIr90QuhLlREF5+w0KwKpdZyFRCUmjozXgAgAgaP954uJ0OvHXDGO4qqzOgXCHE0kJ0e2eS7tV5L/C81g4LRZdA7w073vbbbg7Mgj/s/ogArw8EBcRiMzC9ksEE0IQ5OOJAWH+AFhM2kxiwwMR5Nu+oSvRndcrXS5mMN4bNRYA7Q54eGvHGaXi/qnRUYiNCNR8nvjOvhtW7T6wRzDK6hy4q2cQuvp7mR/YjnshpRR7c0rx4YF8ZFy4pvmsa4DXDbPuOTDkWm0TvO3ardDbbsP42FAkJ8bd0MLFm1lue+XB4a5Xqhs17zc4JHx8qBAnCsqx+3QpsoqqUN3gaFdM90sT+2PLL+/FU6OjTD+PDQ9A2otj2h1SCTALNtDH2jF99E/7kbKpfXiSGILIGFrgwmsr9PmjthLRmx0Q5o9DuWVK/H5AmL8C8Zz2h6/bPeTIjZIZY2Kw4bkxmDY43HBMbHgA/v1sQrsaJEMjQwAA2cVaA6Crv9cNs+6fWHsQm765hNiIQDQ4tPepwSGhqsGJJWnZeGvHmY6wlYnc9sqDEIJgX0/EhgdYHiPGzivr2w/CyL+HWJiB2cXVCoy3vYQXTEqShMo6F3Hzwkpm7bdDroFSiqp6p+Y97rGJx7QX8Z9Y8Ha6pEZRHLHhgdj8i3uQMf8BxIYHoKy2CW/vPtfuG8+8Cf2wcFosUtKy8OFBY0gmu7gaS9Ky221dEUKwMNHo/ceGB+J0STWO5ZVh7vi+7TIWLrwe5mpNE0or6zFAtz+E+NlxPL8Mqem52JlVjEff3d9BKKmT/4qcx96cK8gurmbx1gPmfeJFJFF7WEArd+bgyzMlaHRQgzUmyj8OFeCbixUY1y+0zd3nlTtzsDenFHf1DIaN2JBdXA0vG9Boscd0DfDCwsS2nS8GKkjHiYJy3NUzGMUV9Siva8TpkhrNcZ8euYhvCipw4mJFu9BcmBW8ZRdX4bH3DmBYVAhG9uqMDw/ko7y24YbQlNhsNgT7euGunkFoclJNyK9rgBcCvBnwob0KUM0UqETZwrpUUY9Vu3IwdzwbR3s8fzabDWkvjsW0P3yN7OJqXK1hhpKXB0Gjk6Ks1oGy2krEhgco8OuhkSEdxYKC3PaeBxO2cA9eMCZcRfH3JO0CQeU1At9crHSpOACg3klxoqCizS18PqYTBRX48EA+juWXYUBYgKXiAICM+Q+0U60H+915V2tQUtWABodxHuqaJJy4WIEhPYPbLZGvp0jp4u+Jby6ygtMPD+TjqdFROJxbdkNoSiil+OWDd2BYVGfFswZYHdGV6kbsPl3abog5nh/Sh47PlNTAy4PgSnUjymsb8frGU3j03fR2s/BtNhsmxGnDepmvT9C85oojLqL9c483u9z2yoMQgn8/m4AB4QE4LRRwmcl7ey+0ywPFawSSEqLdOj4uIrDNLXxuSfPw3jcXK3C6xPV8/c/qg22+8fD7FxsRiHIX6CEuQ3Qw0LYQkepmxpgYXFg+FUkJ0Yr1yuXDA/nIkmsb2sujBZgH+ei7+2WPx44ZCTG4OypYycUA7ccnxdFyfBP+2ahIzeeNTorY8ABknL+GDw/k40RBebuEQgGGtPr4oDYSMfD1nabHtndI+1aQ2155AMzCCNIlfz1MnhcnBTr7eeK1qQPa/EHnCsQdSXtxbLu58pt/cU/zB8rCq4Lb+oGy2WzY/OJYt461yh+1pohJab75iopXL/G9u+Dt3efafFyA1oNcfyAPFbVNOJZ/DR9lXDRY/u1RgMrX+ZBIVhj4l4MFhmOyi6sVQyU2vO0NJUBbDyPWfDU6qekKio0IbFcD4FaQ/wrlIUkSzl+p1bxngYzFT+Kj4OHh0eZj4nUe7kjKpqx2QTZxPi13pWuAFwJ9PNolRGRVTyFKUkJ0u8E+503opygOSimWpGUju7jaFBq7Pj0Pe3NK28VqVRSZHKZafyAP31ysND12p8yh1h5j+vezCc0fCCDtxTHtEgplaEJPxEUE4tCCBzSfmd2l7KIqLEm78YzSN5Pc9srDCqprJV+fu9ou6KHFmzKVYqmfxUfCy8wVkmX9gbw2Rza9teMMpv3ha0MBlyvpHuyNqnpnmyo1MUTEaT+46Gcs4/zVdoV9csWxatdZHC8ow+DugaisN0eoNTQ522XjoZS65alxXqnH3jvQLuvdHeUPtB/lP6UU/5g9GpteGIOlW5uH5zNDqSPnIcptrzwYVJdhya3qKURpj1AMH9OQyGAkjY6Gh4cHGq1cIVmGRAa3WZU5r1vILq5Wwnn6jVovXfw9MSy6c5sng0V6mbI6B3w9beji7wlvOwEF0MnXA5397PDz8lDi6u0F+1y5MweLN2YqYaKL5fWm99HLg2B8bFibW9SceViSJDz6brrLY0dEdwIAFFXUtemY9F0pASDY23oe1qfn4dF397fp8yfO0xubT5vSFXFJSohGUkI0rlQ3oqqhI+chym0P1QVYiMHpdGKarj+FmbQXqmLehH7KJrdqV46hglqECALAhufGtNmYeKiDUqp4Hq6oLQDgak0T1qfntQtl9UsT+4MQYGSvzgDYBnNXzyA0Oik8bQTfFlbiqdFRsBFbu5HrSZKEvTmXcaKgHAPC/BUqbzPp5OeJlya2baGnSOOSfvYyzpTWuDye5x4ignzadFxifmjhtFgs3pRpyl6rkTbcn/XdH0FVLyzEz1NDDxQbHqCsbf47OjwPVW575cEthSWbs5tFW/GQR3tVdPOwR2WdQ1NnkrIpy1CPkpKW1aabNE9stiRsBbQfZfW8Cf2xcucZVNQ1sS5vAp3+kMhOeP2hQQDap0Zg5c4cVNQ14q4eQThRUI7TJTWGuhNRSqsYDPX1hwa1uQGw5WRRs4pDlLvkRHZbyrwJ/ZQiTj2goZOvXYOi6+LviXv7dWtXQwnQ0sNzyS6uxpLN2UhOjOvo6WEit3XYSmwgxAkIedjjZ/GRpue0N48Nj5dzCx4AMnIZ/8+QyE64sHyqQovelolgs7oFvQT7eCBJF/prL8pqZjE6sD49D1RnmnIkT3sRWlbWNynjiA0PdHk8D/9tPlnc5rTxlFJ0seKyMpEu/p5YNH1gu8zbql1nkZKWZSBk1MOvr9Y0tXl4yAzpqFccAFMoQXKeo0NxGOW29TxE9xQAxvXriotltbhS3YjHh3WHzYPpza4BXnhieE/UNElI3Z+rWCbtuRGdKKjAkMhOAJiHlF1UhdiIQPz72dGanh9t5TaLcemkhGhQiRpoLbw9CCrqnVh/IJ8dQyk2nyxmHgBpezZiTpCotxgBBs9tr8pffj+O55eZwk71UlbnQIifJ+veJ9cJtKVVPSImxCWBpChXa5qQkpbV5gpE3zgraXQ0jheUmaLAugZ4tTlU3lVHw7t6BOE/L4xVAC3edhvmju+nRAk6lIgqraI8CCHrACQCKKWUDpLf6wzgHwBiAOQC+CGltKw1vs/NMWk69Yli97AjyFftlFfTJCksse0Z19SPUex9vXBarJJgbWuFxuO5vGjxw4P5uKtnML65qHZ9693Nn0FRA7yQnBiHJWnZuFLdyHJEbYhC4Q8sDxXphfdcyLhwFRPiwtot5HhXz2BNVzxXUlbb1Oa5IW4AfHggH/1D/XCmtLb5k9A+1Ox8/Z4oKFfqT6zkSnUjpv9xf5vdS30rBH2uMb+sDk6nEyfyy+Xj1fNS0rLajc7lVpDWClutBzBZ994rAHZTSvsC2C2/blcx69TH4+Vv7z6nqbK12WxYOK39G9JQSg1jvBHx1XkT+iHY1xMnCsqRNDra0LDnak0jYmVqi94LtiI1naFnHhzQrc02bB52dDqdSqjo77reC/VNDsTKG0B5OzU4WrUrx7S3iCieuieLQ3rbSjgqbUCYv0vF0dnPjqTRKrMBldqnmdeSzdlu1Xp4221tWs3NkY5PjY4yKA4fuw1ltU2447XtOCEbTsOiGJ9Vyqasdm2AditIqygPSulXAK7p3n4YwIfy/z8E8EhrfFdLxCyOr4+Xc4+DY9FX7sxptxj+j9akY9ofvjYUCw5atE2TS+DFe21dT1FZ78CJggp8euQi1qfnKfH8AWH+KK1qNMSFs4qqsPv05TahsRfDjtP/uB8LJvdDiJ+noe8JZ7V9ahTjkfrRmgOtPhZRJEnCzqwSnC6pQRc/a8e9SVd7t/5AHirq2la5zR3fF8QCDuxjZ7m+a7UOUFAkjY7GnT2CQGy2NlVqDBDC7mOiDu3obVLb1OCQEBcR2Kahq3kT+uH1hwYZaP5P6XiteNEpN5aGRHbqSJwL0pYJ8zBKaREAyH9NGzIQQmYRQo4QQo5cvny51b5cjy8/v2yKKZxy5LLdWLwpE4s3ZSJ1fy4q6hrbvJp75c4cPPzHr5FTXIXs4mp5ow6At50typpGCanpuVi8MROSJClNh9py8+Fe2lOjo1DbxOjPs4ur8NToKOVh0T8ynf0828xK5DkO7lX0XbjD0GVRlMN5ZcgqqsK50mq8taPterKw3iJhiA0PwNXa5rm2RGlr6hRGw+Op1FNwiQ0PwOAeQZh+V3cAwDcXK5E8PQ53R3dmXFJtaE2v2nUWad8WKh6FMlZi3QDtwQGh7UJQWtWgpfm/47XtmtcHv9N6l0N6tj0y7VaSG462opSupZQOp5QO79atW6tdVywuyyqqMnggT42OQmx4AK5Us0QebygEtG1XOp48/LawCmV1DvjIHcyyi6vR4KCKNebracP6A3novWCrQq4HoM1DHxzyyuXDA/nILq5GiJ+nAX5/rbaJkTa2EefP27vPYWR0iFvHZhVVobOfJ67Vtj1aZ96Efojv3aVF5yQlRLdLhfLfn4nHiBjtnI3s1RmfzklAsC9TLCcKyjWhx7bKWVFKUV7bgMvVTYZmS66iZbuyS9qU0kVPbPndUm3Enff20BODdngcWmlL5VFCCIkAAPlvaRt+l6m8NLE/0l4cixkJMYqCABja4/WHBhnomPkxbemecpjgXT2DAAD1uodqcI8gxIYHoE4X9/Cye2B9el6bWomu4Lo/jY8yWLQAsxLbonKahzvMmhlZyTU5Md0eBHb6RHOIXKGsb3jEhUoUVfWONrWmOfX5hwfyMWNMDM4vm4K4iEB8eCAfizdlKvVEorRHfqF/qJ/xM/mvvgkToNKgcwRiW4xLLFx8Y8tpzedm9WA8V3oj2uXerNKWymMjgKfk/z8F4PM2/C5LeXv3OUOeA4Q9aLuyS0zPGdIOhVPDojqbvn/yUpWmspzLNxcr8NToqDZTapIkKUlBs57cf83I13hAXHa1Ibme4b7pJMSEUuLVqf3bNOTBFeyJggrEhgfg/LIpmDEmBmW1TQjx88QTw3tojr+rJ6Og+fBgfpvyk7Fuiw6ld8fCabFYkpatvA7ysWNhYqzBAGhLz5HnrcwS+BQsnDYxLlyhABFlSM/gNoUQ826LSzZnazwQbtTp5Vj+NcxIiOmoMhekVZQHIeTvAA4A6E8IuUgI+TmAFQAmEELOApggv25X0ePLuaxPz8MuuW+5q/a0bSkOpzFe7m23ocEhmdLFA8Ch3LI2KTRbuTMHj72XjuP5ZXhqVJTSk9vH04Y7ewSha4AXrtU2wYMwqzApIRrnl01RKFQeey+9TXIeQT6eLovwymqb4G3XLuGBr+9sU1SMGA7lFcgLp7FNuay2CbtPa/N231xUoak+nrY2YyFetessKChmJMQgq6hKk+QdHxuGynqHokxEySqqajMyQp636uJvVPIhfp4YHxuGlyb2N+0939Z9WTiBZJCPXfFAACDvqlbR8SLPby5WQqJSu7fLvZmlVeo8KKX/a/HRg61x/e8jVklKbw8bgywSaCz9u3oGY316XpvVVnCc+UcZFw2fNTgkRYGYSXZRFUb16tKqxUpi/weA/f5rMgNxfZOEoZGdsOG5OCS+sw/51+pQ0+gEAau4je/dRZ67trPESqvqNa9D/OywEaI0XmpwSBpqiQaHxNrjtmHoSuSpSt2fq9QRdfbzRHZxNZ4aHYVDF8oMXSLrmyRUNThbvdhMrHrXW/B39QxClVyZHxropeSFuHT280RmYUWbzNVbO87g44O5uGYCLGCKthRzx/fFks3ZpgYegDbxPlbuzEFlfROCfOyorHfgtakDmDeZX47yOgc8bIBTfgTL6hwI8bUjuos/Ovl5d3gdgty2FeaAbL36ehq4kGYkxCDI1xOUSnj/6wuacxqaHKzj2qXKNst5BPt64q6ewWhySobe0r26+KFaZrg1k+ZCOdczHk7VsD49T5NjSBodDUII/vDFd9j8i3tACGGhrfRcZT5nJMS0Cb+VJEnYlV2CqzVN8LET9A8PQv61WpTVNqGTjwfu7B6Is5drUNckYWRMiAZG3KNT25L9cRZivRXPAQSLpg8EpRR9Xt2m+bytQkTcG4oNDzBswt8UVODfzyVAopKGkJC3yM0qqkJVfRMkSWrV3BVXaGaKA+BemB02mw1bTxUDYOtt0UMDsXhjJtYfyMPWU8VuN0xr6bhS9+cqRkfG+avIKqpS8lU/GRmpYQ/46ahomZyzQ3GIcsPRVm0tc8f3hUT1SA8Jv3igD3ZmlSiJ6aSEaMSGB+B0SQ2uVDe2Wf8FVindhKFRnViRYkIMkhKiMaRnMK5UN6Km0Yns4molVi5K0uhoBPt6tcnmw912/fscecb5fZKn6woa24gYkUFiQ9HZzxP1DopvLlagTO76Vl7vxLCYzjj1+kQ8NTrKwNI6NDIES9LaLu/B58ssf7DphTEAgOl/NNJftFWISN/qVZQTFyuwJC3bsAmLLXK9PT1avdMhCzvaTfNSAPCju3vik1mjAQARwT7KOew/kN/3bdUxiePqGuClGBzcCLhS3Yg7ewTBw6ZtBlfd6DRcp0Nuc8+Dc9icKKhAUkI0Fk0fqHDWfHOxAuNjw1BcUY+yOofBYmuLmKsYXhgSGYwZCTGgoEq4YWhUCLKKKjEkMhhDenYyRINOFJRjw/NjWn1cb+04g51ZxYb3OZSTtys1Q2O1JdvvSxMHgFLgnT3fKe9x6z7IxxM2m80QlkwaHa3kGGYkxLQJHxHvHGiVPyAgyCqqMoQgve22NgkR8RBr2rdFmqZnseEBiO/dBYE+dstmTPG9u2B9eh6GypXUrRkOrWpwmtbmxEYEopO/l0I7MySyE4ZEdtJ4tEN6BmPDcwltcu8q6posm8NdqqjHt+m5yn7BIb2U0nYjkbxV5Lb3PPgOTHR/AYKXJvbHkdfGG87gC6etHvIZY2JwoqACqemMz2rGmBgsmj4QydPj8MmsURjSsxPWH8hT+mVwD+TExYpWZ7FlFdPFlmEyFtZwKFXuHJnSHmy/kiRh92kjwjurqEqp5ThxsVzzGVccQyI7tZlXtGrXWRzLv2bwPLoGeCHIxxMB3h7o7OepVEt/t3Sy8rq6wdHq6DTOjqDfELOLqxUUFie91Huz3HBpbQOAEIIALw/TpmKeNoK54/tpjCm9tFXCnHuNrpqd3dUzWCHbTE6MQ1JCNE4UVLR50eKtJre98tjwXIJCM9Br/hakylbFhucYz4677TFbS8z4tsSGM4QQLHpooAIXTk3PxfoD7AHnuZrWfMhtNhsmDgy3rE/oGuCFhYmMpDHrUqUmbs9DN22RH+IbIi/+E6WznydencIgudyrPL9siuYYzkjc2sIBBt9crNSEHQEW9qiqd+Clif3x01HRSoFqn1e3KR7ThLjW7yjIQzFmYbROfl4I8mWklwQE6w/kGRCGGeevtjqKj+eszJqKfVtYqVDy8M3ZjCm5LYRSije2nDYdF2c/bnQyhofEd/YpPUhOFJRjV3ZJm1Dx3Kpy2yoPTqpn9VCs3Jmj6SMuyvr0PCzelNmm1a2i6C13Qgg2PKcNT3HPpC2IG+dN6I+M+Q+YfnaluhFLNmdDkiTEdQ/SxO355h7XPahNoLocEntNF/q4VtuEpVvPIOtShVrToDMC2hJ+umi6TrmnG5U7L1AVJe3FsW3GFFsp13gkJUQrXmFWURUq6powd3xfLJo+EIE+dkOHSoB5KBWtXH/y9u5z8PSwKQwKXLztBEN6Bmtyd3pF0ZYFeSK4QC+RIb6YkRCD8QNCFcUvVuLz+ewoEmRyWyoPEVGxI7PYFAbIoXrc4hZrF4C2oarW0yJYhX44i6co+tetPS59lS0XXmBms9mUkFvqftmLk39H2+U8+mN8bJipRR3o7YG47sHIKqrC9D/u1/TIjosIbNNwmjvKnStXUdpSoQX5eGJIZLCyEYvhllW7zoIQ4pJWpTUtfZWCp9LAoNDgoBgS2UlTL3G8QNupgdertEVBnitwwbeFrJbDTPFzxUyltmVHvpXktlQePDSUlBBtGcsnIJg3oT9+Eh+lyXFs/sU9SEqIxrh+pjyO33tcvCiJb7gLp8Vixhj1QWFJ/nSkpudiRoKsYGRL7NF3W78YT08gCUDzV6SvsAq5tZWIkFhR2bKch1OZuywBNTNjTAyjpBnTdtXAVt6j/vP2zA/NHd9XSTqLYxGJDzldyIyEGM25rR0OVSl4jEwNcRGBCPZT1zqv1hc9Jt6lsS0K8riitTIav7lYYUnTI0kSPjyYj08O53d4H7iN0VZ8AZuFpcSHZd6E/kqvhcr6JiQnxmFRYhxAiNr8ZXxfoBUeLFac5DDQwAd623UPiuyB6P4ClHWnEceif91CEXl+gnzsiO/dRQkDBXqz11rFpoWgLt6UCQJWT9PaITVxbFzZil0VuTckNvvi/anbyhvSK4bkxDjlNf/+5sbdNkl81kpgRkKMpnBRz9M2d3xfQwsACopfPnhHq49pWFSIpqEYN4Lie6uFrqbzRKl2nvhG3Urzxmo2gIq6Jo3RyJ93XrSoR8vx2o/Ofp4dXQUBkJtJgw4fPpweOXKkVa4lPuR60aOpxGPX99qFcVFeSGn8KVIP5GNGQjSSPT8C8Q4GHljQKuMZEhmMoZEhGpiuuAHzKnRR8SUlRGNR4EagvgJk8gr2IFEKbJsP+AQD98+/7rHx8XEFYfVXHJMIM+avWxvd5M6YRi3fjZLKBuUcXvwW6OOJf8we3WpjEYVXKPMNj99bfZc5/QbDkq9oVeUPMKj13w7l40p1o6Hu5a6eQfjP82M14+ReZtqLYxVuJ57Mb62cjAiT56Jf5+KxyjztWQ56bidIzxHAZJnRaOsrQOER4I7x33ud68douD+EKLx3WUVV8LHbNKG3Tr52PDKkO4L9vNXf0Ar38PsKIeQopXR4e37nbel56B8STg7H/+rpR0SL5/yhS7ivaBsel7YCoz5miiNjNRA+GAAFHnj1usbEv4NStuHyh0qkgZ8xRq1L0HtNixLjgO1sLMfyyzFs1mqmODLeA+KfbRUPRHyYzF4H+3opG4BasU8xJDJEVRyt9CA1t0FTSvH6xlOK4ogND8DIXp2VjTM2PKDVq6a58O8X58YtT+fL5UB9JTB5easpfx7D5zBdfcFko5MqYxVBCBz4sHBaLDK+u4KsoirVI2A/6rrGw8ckhqPEeomkhGjrcBSlQF05SOFRoPCo/B6AQ6vZ/3sOb9WNWn+/+GvumYyICTHQzDyHf8J+uAoFIxeqc9VKBtytJrel8mhJKEY8JzkxDr3Sf4p4WxYG2vIw8MQ97MOwwUDxSfULvocCCfbVwk65ghjSM1izUepDC4vTsgD6U0Q5cjGz6BNg8Sfsg/hn1c3oe4g71jTfNAGm7ObaP0MQajHj2b+riqMVHiQR8ABAExoSFWwnP288NToKm0+yOhWe3+ri74n43l2watdZDQ9Va4rVxsPFMJ9OJzKyL2BU6afsgEnLgO0Lvrfy52tqQJg/TpfUaD7jVdRLNmcr43hpYn+FTyp1fy6CM36Hx1GLgoSF7Bjge9/DloTtDPM0eTkyLlzFqMv/BDJWqxeNn8M8kXay8OeO74fXPz+l4yejsDdVYaZ9G6hnDAhWtKoBd6vJbak8AO1GBxjrK/QPO92zDBnZFzDX7kCjflpKTgJ2X1WBEALc3/IQFm9haiYNDidW7crB3PH9kJKWhfXpeeji7ykTAFLBC3kSM+0CZ1IrKA53N2suLJlIEYRazLRvw8HVsxE/Zw1IK2yGgPZeifF7PbJr3oR+kCQJhBCNlzb9ru5Yn56HuIhAEIJWh8dahTvE15r5DPgcGdkX8ET+dHwSBYzKeI/NE/C9lT+H6eoVBwB09fdE4p0Rhg3bZrNh4bRYpO6/oNzD1t4M3fHO9POkUKQXPIJcn39qL9iOioOPbbPMuaXCmwlSHE/Cx9OGH2esVpVbKxlwt5rctsoDYEnEynqHshHxBLUhNi1JilUYHXAHIurPGy/mqFMVSPTYFj9YYl1EiK/dUKSUXVyN+N6sniHIxxN39QxCo4PiyYa/Iwi1SHE8CQBItn+kvfC2+d974bq7WWuTxb0wY9rfcXD1bGZNp8gWdSs9SByJJuasrEgFD353RfN6fXqe0r42vldn7eb+Pa3DlTvPKGuKEAJJkgxrSjuf5xFp/wYz7dtwIOQ4wp85ACz9VL2gd+D3vnevTR2A/xy7aFhTp0tqEN+7iyFMtHLnGdmIIcq6mtkGm2Fz3pn5uqP4pOcGQHtLgW2vtJoCaU75A6xOxcNGMECmeFFRmwR/sM/Ej5u2qAf/FyoO4DaF6gKcr6lEgUeKvcD1vR6IzQbqFYQinzsQUe+CIM5RJ7vPLV8s3JVPSojGw0N7mB8DFREzLKozsosr0c1ej5n2bUi2/wXJ9o9Ur2PkHDaWjPeYAvmewAdXle/636AoFZsN8XPWaC/USg/Syp2sK54oie/s01T48nt6uqQGA8L8NcdmF1VhfcwuJNv/olYwUMqSr3uWX9eYWrSmCEFywOdItn+MFMdPUEqDEVF3FmRpV+1Fj64HvgddCTdKzCqmAWjQToDq/fL83/llU/FZ1+e0J02+vvkxG5ur14CelJNig9dCjLryGQBgnWMyDnZ9nH2UsZopkO+5znnxsKamKi1LQz3CPaKSygYQCsWLBYDYUH/MqvtAe9FWeP5uRbktlYdYH8ALxngvcFNabEoxqofdteLgMnHZ93LlkxPjTAsQkxKiFfgwIQQLE2PRNcAblx3eyJSiMdO+XVEc5229QH2CgEnLmZXoE9wqoavmKt/5b1g4dYCS4yDbdeG7VniQjBvcFCXJuzNL7Vxos9kQ6OOJ2PAAjOqj25RBMc7jG5BDa4AtL6uK49Bq4OzOFo9RXFOd/Tw1a6qzn6dCHqkcL0lIO3RaVvwfI8050vzCNaXqpngd80YIQdalSkMld4ivHWGBXhjXL9QQstJWUG/B0mvztBfd+gqw9WXgi2UtHg8XdzZp/r5aTCmBc9FlSpEouHuBWtTo1+17r3MxTMbHxj1pUflzQ2p9r134wdV3AbDWCTNGR2GL32uYad+GYxFPAIvK2fPXSgbcrSa3ZdiKF+PxB0SUBwd0MyBwfrT2ICprp2BL+H4QMTFuJu+PA2Z9BVwHioc/KLyFqVjAmHH+Kjb/4h7t8ZKEINRhoE1bq9JbugBaXwFsnw94BX1vlAcPvfAch9ieE9B6IAf+/GuQhgrEz14NsuNVIOM9FPn2RW6XcRjdw1ON5X8PD4TRsYcBgEIRAbACs/GxWm6oT2aNkiHEuYiLCJLvNwXgxOeXu+MRHAUOr2H/lB/cyJBPLchbcQuZ934Q5Vptk0LUqAAe0rKwvuyHuGxv0OaoRAkbBEQlMGTRnuVAQ2WLE9WSxMgW6x0SYsMDsPkX9yDxnX0K3bqhfmPPcrwkVeCXz7+BPq9tRbL9Iwy1fSeMZ4yKbvIPZXt5C/N77ubQxM37y66/RXSAE29fvBM9yGUMtBVg4Df3sguGDgI8vfF9m46JiEcxPJuUEG0wKAmAcVFeuK9oG+Jt2ZjWuJQhL4tPgvp1wbC+UexA7qW1ggF3q8ltqTxErh+9/DWjQEadDADAHr7vSqvwXMOfQezNKA6/LiznsX3BdYeuRKgk36j5wy6iYgAWTktxcPSXCsE8T2LQC2CufNggwHZ9CXxA21VNVByB3nZDlTaVJJCGCowq/RQHV1PEx/ZGsW9fRNSdRV7DENCJa9jj3QoP0rwJ/TB3fF9FcQCMG8osbj6pNBVDgksxt+hHWN9rN8ZVbUVFdQ3W145DUSAbnyLhg687b2Wz2bDx+QTc8dp2zft6b1aFNceg98VwwEgMzKTklPrX2cDG1cJENe97AjSvaEEpUF8BZLyHs0d2I9neG0NtwtyUnFLHBDCvqK68xfPkbg5NCYOOjkL0JQdI8Sk86XEBXYiOFaJUHlOP4d+7YHDVrrM4kV+ufZMCj713AOP6dVPpZQDsza3HYBqIgbY85Pr8FDgEUN/OILVXcexMLoY1vAL4dGq1MN+tJrdl2IoQglen9Df0t/a223Cttgm7skuV0AchBD1CfFEJX2RKWrrqeniCRgwDusm5gOBolmfwDrruxfvSxP6YEBemPEg2m81Ap8E9lCvVDVgV9KlGcQBAb5rLwjFhg9jDfm73dbnMooXIK9+5x1HVwF6LwAJisyF+QC9859Eboy7/E+SrNxFRdxZFPneg3iMQq774jkFQ73vluuaGCyetfOzddM37j76bjpRNutAHpRjdwxOPNGzEJ5H/wbiedpDqInRCJZ63b4OHPp9QfPK681Zv7TiNkcu+MLxv1uRp3oR+CPb2QNTVr1xflG/WXHG0cFwrd+agqsGpNKHi8uCAUCNMmRD8njyFv2EKBjhzMNO+DUNt5/E3TESmFGm8+IhZbCxfrnB7POpXGRuMmQEe5k3oh0BfT0yrX4pSGmxUHFyGP8PGsmc5CxFdR96KUoqK2kac0OWB1h/IYzQuMukh45bLxPnCYnQhWgOU1F1DKQ1CRMVxZrzVV6gQ9evMpd2qctt6Hku3njH0Am9wSOjs52mwyOZ5/AvdbMcw0JaHTCkaO6WheNJjF7qQatDKAiA4EhgxG/ALAca9zDyPPcuvO1z0ywf7KrkNLmYWWVJCDDoVdkFmUbQhdAVA3Xius3jKlRtvWvRGKY6fzcMwpxaNFlF/Dlsv9kFleD3otldYkdd1VgNzUj0ResvbhX5zsQLfXKzQNnkiBCs9ZmB06FWG+rqsXssTTQht+M74Jc6Wd4ZjFOOluFbbBG8Pgganqii8PVjvCn3OY/S536O38zwypSiNAZApRWKgrQAGaaHiEJV/xvmrms92ny7FvAn9NOucUorqJgkL6n+KH/uoHt2PscPcjCw4cF3eECAiulRJfGefoYqd5ZKcyCqpRnrgPXikKc38gsf/wrwz/1DmEV0nlPi4BeEpbz3A72GQrxcKRrwGWlRoCGWHkkpW7Gn3ZWi5VoKo32py23oePDyklx+PjNRYZATAvdFeGGjLw1XZRX3SYzdTHD4hIDWXgUvHgEtHmEXNFwq3OFooP1qTrvQJAACn04nEd/bhibUHNcfNHd8XhALnC4sw0JYHGjYIB7s8brxg/ByWOOcKrYWyatdZA6MqATFtfEMBbAp7weChAUBnX08kFz3LPKLCI0B9+XUngEXKcwCa/uT6Jk+UUlQ2OPBE/sPuf8mJj1s8VzabDQ8OCIWPp02jOEL8PNHgpPj63FUtuIAQ1HsEYp1jMqY1ahPPNrtFe9UWJl25da/P7YkV5AYE2LRYfBL1uXtfUHyShWpbCCd2F/CgjCkxDjNGRaFvw7fWF3XKFDQ1pdftObLvM3+/RycfjfKfN74vkr0+dp0DddQBX/1WVRyTrg9M4w4q7WaU21J56NFWonxx5rJm8UqUYlrONByX+iguKv9L6stA/bqxAwuPAos7sYUy8voW7++3n8bZkmpkFVUh8Z19cDqdGLF0t9ytr8nwUAX5eaF3zwjQsEEgJacw6upnKPLqo73ot5+xxPl1KDRKKSrrmgSqESap6bnmjW8oxaTCt029oEea0kC4J8QV2vcoEtRTnnPRtyYlhGDh1AFYFfyP5i9899NsM3TUATlbWgyRfWlif/QP066nh+6KkP+nnXdCCI73eRafhz6PZPvHms9ipRzU2juxF35d1L/Xgdqx2WyYEBemec+SVVhGx40q/RTrHJOwzjGx+S+ovdridcXzMGJPDP4sGvIwAMgXy5Cc8wgG2vJxlRr7bBjE+/pyaoQQ/GvOaAww6eUxNCpE+8aXK0DyMkDtPu5dfMIb12XAuYtKuxnltlQeZolp0foRLTJCCK5VN+K4ZM63Q2ovs9yC5k20OA5MKUV1oxPXapvQ2c9T02Gus58nNr0wxvBQzZvQD+NmrwSe2cugigAiGnVhmLorLPZ6ndaYRM030KyiKlTWOQz1MD3qz6HGo5Pri066/rg0YA4b5mKAD1MK245X8UjDRhyXepvH7rkc/YBthuGDgX5TrwsxN1TXHvXDA/lIGh2NDc+NMYT5fvlAH8yoXouZ9m3yZj1J+czPUQ7q14WNx+6jjsunZfk0FubTNstKScsy5KsAAISAegfhP17TARDMtO9oXoH4dWtx3qNFeRhKQRsrQWqv4ioNQD7VKkJTydnCQo8ttNDf2sFqh06btGlYn56ntniWObZQfBzEUe+eQlvRo8UGnLvQ4ZtVbkvlAbiXmOYS0ckHestRIyICBZATZeUtDjHwZkr6zniHX30QHh4e2hPka6/adRZ7//wb0LhHXH/BdVj6Ij+UXkx7gEsSevo74O8sR6YUjZj6D80vvOYeBvc8t+u66ilc9Rcx9MQgBNQ7EKdtfeEFJwbaCtBIieuvfWZvi/MxfFycBVkjJtNOKcVX7/8a0fVZWOeYjEr4A6C4SlXPhdTKeQpHPeNPe2Zvi1BznLmWj+nC8qlKS9fH3jP2fqGUIqXmYcytfALeASGgI2cjLswY2tVI7eUWrXdxQ5z+Ry19/+7TpYb+7RRAStOTWOeYhC6kWoENW27Yvp1ZOG3tvcAHD7ptoPBoRHZxtWlNzJCewWpPE0KYIdaDkdRaJvFFcdQDHt7MA3HzORT3hPZqsNaactsqD0op5k3oryH64/0fNAgiAMmeH2OmfTuzBN3/ghaPiVNJ6GX6H/drHyoZUUKdTlTWNeJ8QSHIkfddX/zPE65rTHPH94WNGJeBWQ9wSgj2YgQypWgZvviU+UXFRH4LRazE58o/7cWxSEqIxvjYMCN8WOYkS2/sLQMeouBFqOvnd/t8VpjXAs9IHJc+RyTSjivHU4ogUouhtu/Q2deOINRgpn2HAb2jiIcni5+3WGSQhe6vmUYjgMwQ0Av/+5s/gVCKUVf/1fxX9LjbbWqQ68nDTLy8HnERQZrr8A27EV7aL2isZd5QySkWSnZTqRHCQA2d/Tw1FOud/TxRVufAkCihu+EeOYf4853NXlcjoQOBr/+vRae4w+xws8ptqTxW7sxRXFClGEmGeBpuCiEY5lXA8grBRgscxMP43sjZgG9Iiy19h8OBEUt3a97jIazEd/YxBSJg8cn745A8pT+mBJgghrhwGHHhEbYhtiCOr1j56bmG3JAyHkF4HP+zoVp+rYOdH0Oth65rXAs2HDMhIJg7vp9Kmw+VOl/so0DqKzHq8j/hY/fAOsdkA6xZIx7eDH56aM11eY98c+H0+dzSP1FQrvWG5M1n2DPvQRo5G480pWGmfbuLK4OBMurKWuzNbnguQWmy1Gv+FqUDpT43xA2SeeP7Mk9875vA8Y8AIgMu/Vx0zuwxwu0xAS7yMGatZSnF6AgPxqKrk6s0AF5o1L7prGfeENAipl0xbCzKtdom1t2Qex3C84f/a2Enw6Jjal2Mm+Ius8PNKLed8qCUYm9OKWvHKSuQxZsykZqei705l403hVIgbDBL9hYdB7oP034+NMn4JYS0uJbhrR1n8NCf0pUcx7k3JiEuIlB5HSj3CQchDLUhF7ORpV0RUX8OddQCVX05i22I8XNYIrEFSbuW5Ia4zBvfF8k+f9O8N+rav+Hn1FnfPYYzRXYdYavK+iZNO1Wu4CrrtQ8+Dy/QkbPxY2yxruTm4mwADq9l//cPbXEx4xNrDyLt2yIFykwpRcb5qwgP8lY3RWHzObZ2Dv5+otz9H3+dSeCFibp6ikQj/Y6yIW6bD7JnGXD4fQYcoA6gayzQYPSeFCk83KIxsWfwsuY9yw2RUsvrO5urKG+BcSJ6RKLERQRi0wtjVPgwIYBXIAuP1enZGd35IvcP1RKNtk+74taU267OY+XOHDQ0MRx/anquBkkkwj8V4fHNwiPs36Vj2s+/1W6UCB/MrFYKYIr7Vo+I/tr4fAKWbj2jvH5wQDf8apKwAdhsLP69pLPyli8xJ74DAOQfAPpNYfQWLcSb88Y38b27KFY+7zBnZiVi23zWHCv+WRbffcMi1HdoDXDyn4DdGxj2lNs5BnerkxVZP41tjC2VmlKG1XdzniRJQpXcdCnjPIPlJr6zD9nF1VoaEK7QLh7CsMJ/YJjry6pyHcoMgNL1TpTEd/ZhfGyYmpzmaxxQ6WMA1NiC4S9VAFeyYSq+nYHBP2D3cusrbq13bqzxUJ5Zx0mlRmfPcqCuHBTme64TdqxzTMRM+w7zL/vgQeDp3W4/g5zVWpSsoiq8seW0urYoBRqrgLprzV7TIH5dWoQEMxCNkrZvV9yaclspDzEppueOig0PMN989ixn4YuZOzSbNcb+BvTcNobztvsCw34GgLBEcNggZi19uYJ5IM3cZP2GyOktZoyJwWtTB5gny9e5AaPkUnKS/QOuq0qZ93Hnc8NzQ6aL1ydYxbRvt1AIvPKdP4A8PNTCRKK+N7lBJAmor1QhwiYiwcK99usCTFzq9pje3n0OI2IYnFOkAeka4IXNv7hHi5TbsxykqcHsMtZCKTCuZd4sK1xU6ynSXhyrUN0Acj6Lj4srEEF5+EvNKN26awAIC9MWHmHrvRkjQKVm0Xec1IEwuDd0aDXIiNmgjgbNfbxKA7Fm8L8xO+fn0ESuOPKR5zzcpGq34ruLiwhEkI9AakkIWxcnP2UIuJaIzbPFEYnr7kp5E8htpTzEimmxQhlglrVZxTTO7QIKj6D05BcQo770+IfYGzANcb71CA0JYtZXj7sZKsbDky3cHiPY4vXp5NZDFeSjnW5OB6LpL0Kp2rP5euS6i6eIy9dMyVYwpQHItSWr1YpfUcTNPHxwi3H5HEUkyuJNmcb+14QA0Qmq4hSkhnrBhzjgAYnlraiuqrz2KrDjVbfmi4fSPjyQj6dGR2k2n2mDw81DRKXWCs1Uai+ztTTlTbfnSswt6HmtJsSZ8Fpta2HFv18XwCsAOLudzXHPEW4ZAfqOk1w0eRiuzChlCkR3jS6kCq+fuh8A0ES84ekXBNRcVteWXzcgJIo9e256Hpzvjlv6PGSktN/lSm3Hqy1THF1jAS8/4NJRhgLrN+W6u43eSnLb5TwAGInPwHDcj/5pvzGO2P1uAEBorbYoh9SU4nzhJbzX9wPQp3exwsDCo+whunSMvSbQ8tu4ELMugqa9IAgBir8FPNwsTtLLdfQ8aLbCVYyZr5WZTk/9h/2tKWV5ogWXQT28jRcvPsnCaS3AvuvDHhx+mpqeq/APAWBz5csgp3rxJ41McQBGxQHISs29mgpulDw1OsrQI/xwbplxvpq5JNWDMEbOZuuw8GiL64fmju+HtBfHat5Le3GstnsiVxw8pHnPbwyDdFDdoHntyb7fsTUfPrjFFdTNJoIJAXxNQsk68aQNoE5d2HbgY8DPd7UoHBrk44kZCdoQkSGJTwirtdHXdgFo0s8Rl9pSFrngpJs5W4E97tHZdxQJ3kQiSRJOF2vjmiG+zOK/WF5nXLxTVigKhMs6x3gcl/pgYmAekkueB/kw0ciceUjuvOZGmEiMt4oJO9P+IpQC4XcyVElLZMQsNR/TgipltxavLomPlBCgplj93NEIuvZeEKdJqKaFm44Y9uAoIqXPu1ntybiXQXL3W1zNQvjvaKFSO5RbpnmPdyvUINMIAXw6gerWlOY36pUZBRA5QqZ1ad4Q4cIJJJekaXMWj713wLjOebhx4lLgzBbo65rsRHht92V1C6I8s9ftokq3E8GSBGRbcFnphNRr5x42cn1UILrfrX/NDKVK5uH4axFonsTivtReZbm/4pPq2qpvfm11FAneREIpxRtbTqPeISkKAwDK6hwI8bXjxyOjDLFpbJvPHlxBnvDYC4CiZ91pFoetK2eFb2biRtiDh6xmJMQYrEQDXQN350cYrWlRmvT49/wD6uJ1s0q5RYvXZmN9TMyk9BSIVdK1+CQLcbUAQjxvQj8smj4QydO1eQ4D/FSSmCdUegoIGwQ6YlbzFx85W+VsKvrG7TG9vfsscq9o+4RLkoSuAV4I9PHU3sN7/x9Iea7pdZrgqb4IHcj+HpahwyNnux12FAkkOTyXFy+eKChXq6W53C+3K967AlQfZtSLo8743o5XW+TRiolgAEoxnAaVtn0BUJoJ+OobeTUj8XNabCTxtb4+PU+z1ten5xk9f+8gNRw7YhaOhf/I+sLddLm4FrAjdxQJ3kQioheOvDZe89lPR0VrqRGoTEHAPQhB/EgThtoE5tjSTDXWqndn3QgTrdyZg705l+F0Og1W4ldnr2gfcq7QbNYLpxyB8NTj30tkqvFn9gL3tQzZ5Nbi5Q97S8XTj0Efr4P3p9mwx943gZorTGHO+sq9hy13P7uHtVeZ5+FGlbIkSfhrRj7qmiT0D/PH+WVTEBsRiDMlNZAkCX9/Jl49WIyZ+3Y2XMsTDG5MPf2AGK0hgcIjLYJZiwSS3EPjHptSLS3KnuVAzlaQmsu4YOvl1vcAkD1a93i3uCf7ywfvUBQH92Q1NTqiN/TrFoZoKNhabwE6rUVr/f75QCdGc3OsoAKbwp4H1d3LUt++TNlfNqHRaWF4r6NI0EIIIbmEkJOEkBOEkOvMArsv8yb0w8JpsXhjy2nN+9WNTqMrP3m5wTUt8uptfXHfLkyJRAxjnoF/KFM8W60VCLcQTxRU4C8ZBUhNz0WsELrSWIkCAgWnrCt/O4GF5Yr8dVaPRJmV/8H4Fm1CzS5eMWYePtit6wJg4Y+mWuDouhbx/kiSpAl7nF82xRj24HNVVQREJgAAmg6lWl+UP/ylcsMjjghzo0qZEIIenRgT7pmSGvResFVh+o3s7K+dK74pdr8bCOpufc2mWgbCEKXwKONt+mKp9e/QjUtPIMk9NgOvlSSxWo7ik6B2H/SSLhiuV2pGCcLDMG54tKIny5mj+X3clV2CVbt0SuL++czK53k0E+G5GGXz9uvCng+KFiOb3F7rhABP7wYdORvDiv+BRd/cC6KD7obWnQXNk8Oluj0Ea+91i/afhx1TNmkV0KPvGqllbkZpL8/jfkrpEEppy/kqWig8v+BW4Y3NBgyfob2AzaSinEudjMAoz2VQ3ZpSLWzXRPiCFRVGth4q6CtDBXluIWwQQ5bIUqOv3gZAw4ciIkB3+zL/zTakFlCiu1Xhyl15vpFEDDNYYqbCwx+1V9kD5oZFtnJnjoxAa6azIVf+8c+ysM+SzvBEI5oomxMqe4h1lIWJqIcuzMc9STcq4Xkld9JoLadV0uho/Od5IyEi7nuFUbO4gBBbSgsSrlb3ziB7ljP6GkkCQgeC6PMZsoTKlCDU7guM/Q2bW644+k1Bc7xbemqS3gu2KhxlWUVVqKzXEm1CkoAzm5V5atCFYilYLqaJeIHMO8OeC2Jna6nkZItzHtwoEcXADLBNDrESAjLJ2gCjvp1BvOTEek0pQ38tvMbQmJx7y8U9bHHY8SaU2wqqC6ihK7GhEYfvmha91Vdqzo+oP4vvEA0/H09E1J8z/5K6a+zfyNlsAWesBnqOtIQx2mw2bH5xrKalKsCQRAsTY7XxcpsNGDBNs/H4Df0hMg9t11BvkMp8NTTCraIW0jboE5sifBHQWWUPLGAAncgElJ7ajdCWFlEF93QbEmvWS52/Ns0PCbUL+8OfwvnCS0jJ+ymS7X9F7+5hGBflBZL9ufmXukG9sXJnDirqGg0oqhMWjYWUsV2P+Ie61SbX7XvHw7O8CHb4MywMq5NMKRKRXnUIDIsGmbkT8PBQ81TeQez+uwHT5QSk4loX4bGa52/vCsDDG9SvG0jtZXjLoVjq3RnVDopAJ0uSe9JGYPdCIHqM6q0NeqxFtUO8mFLf/lmZr2mxIBxRmLePhX/fH2d5PVJ3jTEWVMnAEQ61jhrN3is5xehw7ptvOkYedjxRUI4TBRUKpJnXx5iGHW8yaQ/lQQHsIIRQAGsopWvFDwkhswDMAoCoKBNuqesUswZH2lFp4Yt00jJULuuLYMcV7HX0w9Da7xDRnF/GF3IzCTIrinGxOEgzLp1CI0fex0B5LJlSJKK8ahDIcehmm3gLSOxaVOF6/wJQpxONp8x7bbgUZ1OzD3uLq8slyZCHGRfjjSRZcVTCF+PmrALZPp9Zh6KiVaR5RIy+syGXExcrsHhTJhZNH2gSuuqkJnZbIrxLXjMJV0IIsi5VatB6C6fFIuP8VWRdqtRCT6fIXvGh1YAFwWaGFIvPBiUj+aGBzIAR63psNvV58Ql2CY/lnr9eXps6QDtHXyxjIbrikyAjZjPvUZbUmuFIcTyJVUGfIrr+FIbaLmjnkRtHboqe4YEbJfx1kI8dxGZjuTk/GTUlFwxTu4/BU7voG4eedVmsrgMAfDoD9ddU6hsuUiPw5XJLj42HHXvN36K8t2j6QOWzm13aI2w1hlI6DMAUAM8TQjQBTkrpWkrpcErp8G7dun3vL5MkScONpMTP003qKXyClAeVEIKg+TlY55iISgRirzTEvWY5QLOKY/GmTNPNZ/2BPCzemKmOSVRoI2aD9jDCPQfaCnCusRlsfAtqPeaO72voLW3aC0IW4uGBHiMewl/oZLeuD4BZYCUn2UbfzLjcZhn9YhkLDQh5GOoTApKxGpu9XsNM+zYEoQZ71/4KtOAQCy+YKdpDa4CtL1uOi4+na4A2pBIrNxQy9T4oZaGr6406eDXfuY9SirjuQRoOMmVD7B5kDHlMch0GG2r7DqkH85CSlg0qSWpdD79nfF26yFuJ3lBnP0/NZyOW7sZbO87wAxlYofgkuy+HdbkfEAA2zK18Ap/f/REMMnmFOqYvmg/v6avLxXDa+NhQVhNDZVoSXXEg6+eh5cOqqNFRtNebrCvuQbqA7LoddrxJpc2VB6X0kvy3FMAGACPb6rt4vHzhtFglz8EXisF63bOc3dhJy4AvV4BufRmbfvsUKuGPVY7/QRCqkOiRYf5F+ni/i82aW4i8h8CMhBh8t3QyQvyY03fiYoV4sJpsBTXUn3DpRy4a3xQL9DJWu40Ce/RP+7EkjW0+lFIs3piJx9474LpI6b5X0LebsQ9EptTT/Hjee9oNCLFbORhx8/HtDDz9Jainn1ILMNCWBzpiFqYEnEf/og0gl46B2ryMic2wQazAsZniPJvNhp/Ea73izb+4B0kJ0RjXL1Sr2PYsZwCKba8Ah1aDjpiF7wRkU6YUhdPkDu0X6NvSHv1zswlXt9FDe5YD7z9ompQupYGosTEq9KG275Bs/wjH8q5q80kZ76kdNJvxiETac85W+93SycrrXdlyC1p+/ZFzDHmhdY5JmGnfjmT7RwAoJhesMn7R5t8w6HzGe8x7aSY/JFaXi5JVVIWqBhlII9Yy6aQLqcI6x2QsHroP0ohZrpmbuTTTLvdWJ0UE2lh5EEL8CSGB/P8AJgK4jixi8yLGy7kCEcVQiMctq62vgJ7bCXJoDR5q2IQg1GCZz0eYad+JUFJhbErj4a1asH7dWMLVBeacUopGp4R6h4TY8EAsTGQuc1mtA10DvDCuX1djHqaiADi8FiQ/3fS3+hOZXVasVHY2sLFFDGOMts3QNlBK8eWZUpy4WKEwEC/emIn1B/JwoqBcW8nN0U3y/4+/Pwejr/wT6xyTEVP/VxyXWGvc77zutPw+UArc+7L152jBA8UfdP9Qdi/e6MLQS4KQggMsZ+XbBcfCfghSdExLoxI+mG1czqZmi/Mopais01Y4L0nLNvSG0aDlsj4HDR+MjAvX0Ee6gNOIBg0dCP/AEEyuW4y/YTKuohM7T6yr4N0F3airIMTYH0YTHqIUyNnBwismyftQUgV/qRLUrxtoj7vRq2cEiM0Dq3bmqBu8KG7ULvxq0gD8dFSUYuXzbpmGFrRm1wfgYYPcPMsXyfaPMOrKZ8pnCoPBkffZ77H7ulWQ54pRV9kXqIxUNOlZfpUG4rPOc5B6IA/rZYaBa/zeuRLJ9Zjcqni/iaWtPY8wAPsIId8AOARgM6W0Gd7s6xO9JaZPTmvoxfnC7TEcOLwGpPCoctxM+w78GGyImVI0/k4nIFMSrE6xippTJIx0jTkfGhkCAMguZi4zD2ElDo7A3PEmmw/f5Ewe+FIaBBo+hG0y+kplZwMQOZI1sXGDtkFsqZqanov1B9i4YiMCVVrvPcsZ9Ff2ZCSnE34lx1FKg9FoZ4r10cYUrHNMRIzjjNnXMAnqCexwXethlYMx7ccNsKSplcgoodBfHcSmHr/UfhY/R90kSlwXdTGerXQFEXNh+VSl8t20knvSMrYeqopAik9i1JXP8B+v6Uh3DAApzUT0oNGICw/Egvon8cdhm43j/tVZt2sYfrg63dAfZsTS3fjhasHoiGze0c/wHYfF3VbhbcfjuK/oA4w+9ztQp9PIheVmUd5LEweYUqZo6qwkCfh9f80x39l64Snbdgy15WCV43FUwl9uLcyePwODgaPOrfbLrhh1lX3hyxVA/iG1pzw/1+6LLqQKj19jOZdK+GGdYxI6Df9Bs/OArA3NV5k3V/F+E0ubKg9K6XlK6V3yv4GUUvcA7Ncp3MIQxbRGgIuLTnfrHJMwrXEpnl30Z3x2999wLOyH2gOGzwKmyiR2Lp5xQgiSpzOLQpQZCTFY9JBJonXKCrb5WEgoqUSG4w7QuaeNH4YPZg+SGzQSHO1haKkKYPOLY5mFKCJ1MlYDHzwI29pxGCDlIJRUwMtRhWT7XzDX/hkAgjvBmlZRfcVw11igqpBdo5lmOfMm9NPkPLgCUbq8ASqksrkHM3I0pv9xPyIPLdF9oDvQxAI2O4Hq/houxDvQ6a73SOMmzLRvxzrHZPTaew+yiquRNDoayfa/GL9qu3sbtNPpxLnSaqUfjBgeOldaDafTqa4nF2wFRT534InCR7D+YAFOXCzHqAg7RpV+CvL+OG1dTwsKBc2S5hrjjecruJE0cjYwcg76yLUnvnYW0l3leByPNi7BU/bfWbMHuNF+mRCCzMIKDesEwGiLMgsr2ONbV86aOfFe8vKcEUcdSv36ohJ+AAhWOf4HAIHtyPuo8rTI0Xr4qBBeizyf2xXvN7HcVlBdq0XLFYrGet2z3GUhHhOClLQsvB6wEYToECRZ/wJ8OwGNlSrHlStopbsWBveKDmlROge7Ps6YgQ+tgXfpEdS+2Rf++nOLT7KH0s0+I/JADLIkLVvlkBKROoKHttFrOuBowEz7DhyX+qA84l4cL+qDiz6xSAzK1TbS4dQlYYOYot2znEE/LWTVrhxU1js0LYQV9uHxfVVmAH5Ni3qKy4c+wePOPNZiOHwwo9cPG2SYW2x9WUVI6Tw2jojhoAfuNSYlRGtRVmIoNG+f6XhSHE+CTQDF5IK3Qa4I3fPCBjMvSEHwzXG5njw8PPDTUdH4+GAertU2oc+rzFvu7OeJn46K1tL8u1gKW6v7CAcQxD+7BtjeRYU/c7qNiUsZdLX422atfLcgxL6dZCOJaoolL/rGYnLZq5oxXaltRPWxz2Dabf33/YFfnXFpMEmShPNXalBW50BseAA2/+IeTPvD18gursb5KzWQKIVtygoVzlx8kv0bOQcSKDYcuopVDu7lEjTZA7HOMRHjSA4Ccdn4hc56ICqBMQhYeJAtRhbehHLb0JPoF63ocXAFosSneXFSjcmNl2WmfTv+3nMDPjxwATlff2qMhdZeBb7+LVMcPYa7DHuYoa3Wp+dh8aZMrYVBKUuUmvBojbryGQgF6PBncIdXJfyd5TC0yPXwdlmwaBiXnOPQi9iFEYSYMp8+1LhJadJzXOqLvd1/js+HrkePLgGMD8yElRTRY9h8uUhyvrXjDHZmlSieoiRJWvZhgM21n2z1mSiOdY7xuEoDEUoqkehxEHTkbJBZXxkTtGGD3WpLy700UUzhuROXqoWUJsKTwADBwWInLvrFMYs6fo6WVr7HcLfg1vMm9MPhVx/UvHf41QfV8BClTDHqK9kFEZPTALA4LQt0oi5AMGkZy8EUn2Sknc3kF9wKPd4vGzm+nTTnP+/7JpLtH8veLABQJNv/gkCnRV1RTSnw5/HNjqlnCAMlZBdXM4YAuddPzxBfKEWnT+/SnEcnL8cSx8+wvP4xDXpsef0j8LHb0YfmAv4m3kfYIMAvhHlFLsLHZpESPfLxZpbbRnnoFy1vaMQXrWkhnp7UDEAtVRdJSNm3AAgam3PQXDCoAtDQi/OYufg+AC0qhm9woYO0pHGXjoBM/S0Cug9gKCOe8xg5m712NrhFt6GM62I5AJbjOL9sihLC6hrgpVa9N8N8Su2+6N0jgiUSPWwY2i+aWapmJIqH1rhkHdXj8XnuysA+bLMxa1MvsjJN9DiMLqQKV2kgztMIpDh+Bsqh2aKUnNS2pbUIgbiFANuznG2w/aZqz+1+Nw52fRzHpT6Yad+mbNSrHI/jXFC8nCfRhc36aBWCmazcmYPXN57C9D9qGYXjl3+hMvzuWQ5kbmD/9wmxvNZQ21kkjY5G0uhorE/PRdrvZmgPSAlRQ1jeQeYXEYSHHvkmyBWIAf5NqczwK/yuirmYad+GUREeuLBsCmaMjsFQmxwO1aPSlLYFpFnlseG5MYYQbVJCNDY8N0ZNmOtyPGT7AmVP0Sppgpie3VkrgE662rSIoez5PbuLhSBd5PhW7jyDxHe0XmriO/uwcqeL3OFNJLdV2EpsQgOY1wwoct98FmbQEZv5kSZkSlHIkGJR6fBHXEQwBg56lFFGWNFNZG0A/DqZFgMRQjCuXzcMFejEOVusUkXKcwu86Mg/lP3jDYXCBrF2rndMAGw2kJlbGb69vgJKTxEublqtbFyhjOZcVrbcumbNqfqrD5RJRbJyHUcdxkV7YUaPaAT5eoHcv4B5T1bVucUnZUoQ40YtWmJiF0GAJVwVA4BStlHrRVamoaQC6xyTkeL4CTr7+eBaeh5AKZKLtlpHcF46bRr6cCsMA6ghKx3UkzgbcOCOX6Mi0oHjh99QYudJo6MQVFwHcihV3eC5nNnMDADfEFPLlVKK8toGpbdIXEQgRsSE4MMD+bhS3YjEd/Yh7YUxsDVUqsWRg35gUk/BoMOZviOw/kA+67Zp/wjT67aBhg0ydmgsPglEjXGrAZreerYs8BRpzAH0dp7Hdx69sb3HLxFPCJIfGogvi+7FpvJBODdkPuYdHKVew1nPvMnJcq6pmQJGS9EVDGPycuX1vHhAmroUj60+oDllR+gM7GyQ8OvSf2rDxxUyjLeigD3PFuFs3t/HqgvkLx/sqzV4b0K5rZQHAKzadRaV9U0ayyclLUvbrY9LwWHTa+yUhmGV4wcACL57YQyWbO6MWVVpiLD60ppSZkGNe8V0AzJtNSn2peC5hYuH2YKrKVWTiSKvkLgAHxAScaLyeHqXW/kOSqlmXPyvJhzD607MugUKQiBvojzJzkMcphXdALqbAxVW7sxBZX0TXps6wKA8lmzOVjdq/qC7GNfPFn2Mz949gKyiKnh5AMPP/B9I7UnrsJJFV0FeYCaGYUxzaJOWsVyHeG05HzM3Zj1S8KSQ8wAIsWHo0+8Ca09pjZLQgex1ySlWgzLuZcOaIoTg9YcGYVtmCUoqG5BVVIWsoio8NToKh3PLGEW8hwcbU+4+2cMyKg46cjYu5zXitbwJAOSQTkx3UI+7Qbg3LY7Nr5tqrLjI8emZEwxMCrx6nRfpTlyqaQF9wD4SqQeZJ7twWix+2/AYsssr8Mn5twzfpbRDdjEmV6FjQA5B+gRrkVuTlwOgoD5BSNmcbdKTPRfJ9o/gb7+mVbS8yLAZpgCbzYbxsWEAjF0gDW0ablK5+UfYAnG7PwWlrJCLW/o6a3GC7Th4DHjEG7sQeSgFEbVGygVFwgaxcIWLG96sJQYY+ooAkJsWVRnf52IGp5Qkl/0zxAZQXHFw2mzDuB5YwKzybgPNLwYAhUeNCmfkbGCwBZyxIN00ZMXvnR5+2tnPU72nAAudcDQLwL5LB7H8y+KfIquoEiG+djQ6gSr4g8bPAZ7+0jieMGskEVNoDiVkxpP3gd52rTFisxlCVpj1FWj8HOzNb0TqgVzMGNNLrV1Jz0XKltOg+nNEL8/ZyOL5JqEPQggOzteGt15/aBDSXhyLf8wezd7Y+yZr02shBATjZms35HGzfg/SYzgL5+k9j9rL8iZtDY9ttrmYCCyor1QT8YI01pQjNsxfCVtmF1ViVdA/MKr0U2Oh55LOajtkF50h3Qodi7eeUoCyOQr29ULS6ChdczICv6DOoPFzQGZ/bfqdzUGIX5rYv3lI800st5Xn4TaCgW9w3e9m/DPFJ0FHzMbnJwqR0Pg1BtrykGz/GCmOJ3GtzoEmnyBIdz8NW/YG897GkQku3eVmLTEuZkVFcic+lmYVrilJINsXsIfQ0w/o3JuNI+M94MJXQHUp0LUvMFNb7yJu0pRSLJo+UFGwSQnRxrFRykICly1CV35dWIxe/3suHgFAjZY+p23gkFbBGwv0VquTuYjVykE+ch6GkzRGyxxbOrTOjqpozLQz9FFKHbP2zwx4AZjQH1ipTVAy7+CkXHCmRRKJcwVAE7KaMSZGO1dfLGPhJlHW3APSfxqO93ocnzh/h/iAXiBkoMof5m0HabQwDEQUmUnvcKs8jBKmpZSFvsyS5SNmMWWXsRoZudcAPAy+ulI2ZyPZvxOIfzdrQAkFA2Xo1rzb88V7l2e8p6K6wgYDs/aC7liAmRmrgatACrinRtAppCtqrobA38oDrilllPMmngcL0XbVhI4XJsreo6+nGnY8tFreG4JYJEFGms2bdAfodsbrlYq7lOv+6DfvgvDnw0y2zW+WusgMHdqBtrpB4hY3UupUhvj5+U6g/1Qgfg5I/n70pblI6vQXSCNnK7FpANgdNgPEbjdXHACQ/R/LxNjKnTkaemVKKVI26dq8ck/IJLSA4pM49v6zSBGQWZRSpGzOxoHCJhbmaKplG03WvxgIoDSTWYmXjhu4f/j8DIkMxvr0PIXWgrN5rtp1Vj+hzKLT91TnCdjaq+pDy38Lz99cOqayjnLx72ZaBMeS5U6N4gAgVCeHavtyy5uKniDvXNAopDielKuU5fxCQjSSE2NBdizQhrnEDdpRxxSdSc6sWQoQSQKOprJrhQ5knhDA7sPRVMxz/JnVTsggAUIIkqfFYp4zlW2eYYMY260ofFwmDMluV+Jb5ZDzD4BOWIqDoT/EwUsOrUe0/wIyss+7RCLikHm9jtvz9eUKhgoUJWo0sG4i4B2Eg91+oHn+ACApbzzKPMOtx2T3BSaaU/6v3JmDyjqHUvhKKcWStGwE+sjeI1donI5l75tqLmbSMmD7ApCM1cjIOq+Z1MUbTzGlkvEeU36AGsVw4c0C6j6guYcJHfQkN1R4fFMUDSRWklRepPfHsTxF7j6g5BQGdiXY9MIYPHZ+OlY5HlfOj+sRjL25Dai16ZAmfAOtKWXKSBcqopRib85lDfQ1ZRMjadybc1lb8V5yksWUdSE06umHSuqLVF0xUer+XOwImwk66ys1pFR7VQsAcNRpN3ZBeNU7FwKC1PRcVNQ1GuHD579gyUm+8Y+cDdSXMSRYj7u1VCj6wjRxEwofzDZUCkMjH1cUEpteGIOXJgo0HDz0cWi1gbOpW9EXiA31Z6ys8j3MOH8V9MvlDIk2cra6uYthmZGzTYEGVsaI7iCl8xxKM7XWfu1l9rrHcFChnwmx2UC9A1UFZsF2a4YAcwsOy73rMO164vUkZOdrONDnV6iI/7XuGr1w4I5fq1BoK9Fv/s3Ml6Yepq5MUzMEgIXJZJqYxQ0/0Tx/8pXxQf+1oKEW4VNHHWMwMAmH8meQc7jxZ1DTxVPJcwhSfFJBmp336I2DRU4kyWGvpIRorD+Qj3+crGQEpnYv9mxwSLiHl0wTZF7nsWrXWRwvKFPoSQBW+zUkslMHPcmNEEYlsV9px6nc5PQ8PPrufrZQeC9uHk5JCWEPb/hg0Ke/xJKtZ3DiIqNE5w1a1qfn4nxhEfykSlB/YYOXifjgH8o8GJOch9gmtNf8LQpvP39fHjh7qGsvy8VJs5Uqc9JUi3FRXpiREG2w5hZOiwX5+v+AXmP1X8vERV8PfZFianoukkZbeB9c4h6TYaXy9UKiGT2LPmRHCKu+18usr5h159vJNKlpRSHxxpbT2nwVoJLYCSGxUr9+GGjLww+uaYsAs4ursDHjNNuc8vazB1ovhJjWx/A1JQrv/qZ4j4QAT+9WlZKJHHP2MeYCah7Bypj3jcSIolgQXPKOmSIIw8CGfP98tqmJEp3A1oV3EOZNGmCE1E6LxTxpvdobxlKsQzHNwpqtzg0bhJSmJ5FdWquwFnOJDQ9AsL+3dX4hfLDlRu32M6jPHwrS23keQag13ItVTY+xsGLhUbmEh7Cfd+koUx4m3Q55eO9EQYXyHPLq8iGRwVo2hZtYbqucBxP5QdD9VRYsVyD9pmpj8c/sBdnxKiZddgAJSYolzs/1C+oMOniO2l0sRbDcf3WGLRpdvFUsLhORHobqZG718ApXbrnKFbik8Cgm2pxIxQPKNRZOi8WStCxML8rFsKJPzKdigpENRqRBiI0I1HQ1zMi9hmy5WY4Sn+bFU1sZS6wSWhs5x7qSnYfh9LJ9PlM+JkqW5TxU2mwucRGBCPSWcx17lgPndjFamUnLDfew268OYuP/JaGy2g6AYEZCDCQq4cMD+Zhb8UPEh2QjouSUOeSaJ4KFe8i9WCPSJk99LeY9Llp3WW50Smw9yZa5Jhcw6gWQff+nPYEj1fhamPKmZq45Ms20Cn9CP3UzLDzKcnuRI9jmdmg18wobKoA9y0H0FfU2G1D0rTVSDmB5rpk7TA2AFlWX6yr9Sf9pCHJ6K/UYvJAPALztHpj7wB3AGouWtcUnWQ7sep5BEarLDRK7DyD08ajx6ISU+p8AB/IVckQAmDw4QjWoMt5Tf1P8s5Y0+PrcrLKebqHqcuA28zxYMVCCgorgVsaMhBhseC4B5MsVbJE0NQFHPtCe/Pu+QMZ7GN3djuRpsUotBpcf/eZdEG7F/3mC9txt81klr0Xv8GYbU3FOpJk7tO9z9EjhEZSUlkKMtya+sw+p6bkILTthPSG/78vGJYyJhzySEqIRH6Olls8uqtKwfAonqTQlXJpTHMpDNEfl6spYbVkNLBYIcq9xxpgYuX1pE+sxIfJsrbnHkKAm6ybgu6GvonzEr5A0Ohqp6blKLcRdPUMQ/quD1nMFGMKOhMhIm4RoHdIGrD6Gw60pBba8rKL39BI2CKMu/xOfRH2O1P0XtLmAabEgTdXGc3jb1YBwA2W8W6hCBfU2hymOjNXMfho5h40zY7U5k7AkMcqdumssf6ZDsQGwZP11u7r8vldgmpBpqMDcB+8AAcH69DxNLuDExXJkrJ6t1j7phTPsWmy8Lp9BPlfxzwJ9J7PfrGsA5e8sxyeRGzXjVhSQzWYsQJ20jO0LVnuCO7nZm1xuO8+D11CoXgPYQw6oEMGjqWxxEA+1Srv2KmD3wYGLjdi+Oduw2B59Nx0bnh0Nsm0+28C4hA3WWlA9hyvWjxhfFYW/NoxLz4n09W8BAAdDf4i5+Q8jLiJIscqziqoQFx6IHn5+wCWLyeCWq86inju+LxvXgVwlrMfFlHPL6TQW5VkhSfiD6OnHEvkSZYom92uWD6g0HyzfeIZEBivPJ28ffDy/HKt2n8O8KSvY7zi8RkczIucNCo9iXs9UrPSdgcp6LePwsMhOOP7n5zHMYqoQMYwl+HUoIrHwVLyPG55L0D7oXHF0izMUnnKeo3ifYCBfPSd5WqyKmONU7Fx+G8nWaNhgtt4ExJXbqML7xWQt0bTrtaxB4F45pdZFsX5dAG/zhlU85CLOjSHnsfUVHYcX2DOUsRoEQJDPTK0Cmh4HEICWBLNcjNhu+cI+plBEwIMeXODOM3j/fLVw0QQYQ/26oN4WADHkpuwRkgScNiLtVLTccPNxWaDlbhUFclt5HoCLJveA2gOCWxV6SnNHPUhjJdan55o3pU/LBvWVrTkl6SqEvkxyDMcLWF5EzMGI74MQ0/i9KCtJEuIigrDpBW371wAfT5Cndxux76IERhiSroQQZBVVGuLKALDtlA4dtW6K4pUh/llg4TW2echIEmoCEsD984FhP2NvHF7DQny8fiHuYcuhzh3fF6Byh0UOeqDANxcrsDenlN1Ds1wK59LqcTeoTzAq6526zYIi8vASDCv6BNSk2Q87xHVfj2bj+HeMZ15C2QXtiXZf4PBa0IJDSKl6SHuNzdksaR4+WGVz5cLXqAVlvNuWKw89tqQ3xwMLAKvcAldyDVWmNTHiPPENUpND42GrHsPV54UzScvgi3kT+5vSm4x++vfAiJns2eMtfrkn4oJZ4Xi+7hkcLTyDXy5XEVGEABPeYCErQahfF5DaqzhfWATR80hNz0XKxkyGuNLzubUGWu4ml9tKeby144xCosfJETlHkqJAXPWACB+M+DlrMCSyEwAoYQoetgjy9QS5fwFb7FNMNjHdIuEUIGJ8ldOgazrQmRWYCTKPrkdWUaWBx6i6voktXBfV3+g/3cCxQyll+Y7iahYeEJRkcWWDCi12OtXWnH5d2IP1/jjl9YHCJrYB6gvCdp1lcxE/RzsWFwl8LkOjWC6Jw4g5cePQyBA1PGQmJaeAHiOAca+YeE8ElfBFkW9fxqzLN2lxkxChmS150PfI4Yl7/58c7qjTfrX8urC8nhkk+mvUPMIKBePnAM/sNf9tJhs9t6hFESHhuoNb1pvD7PgR8obNlZyuK6TbBboAMy7ueFDdh7ly66EWyVoX1RL2z4wPzALVBAI8NSpKJbckwJ09gjCubzcGn854j4WXtr4MvH+fIWRFaq/ivEdvVMJPg7YCgOMXy9WQl5nCNem17nZ47yaX2yZspSfVM21yTwhr+GIlxSdBdryKDc8uQy+hmZRpU/qtJpvYtlcMm6MZNYmBkXXPMhZKE8WvC9ApGiA2jCr8FKuC6zG36EfgbjNPLO/1acA4TjduJln/Yg+8QN3Ax3CioBwnCioUK53XegT5erL8UH0Fq8j+4D62ub4hx79lZNqOrWdcF4Tp96ZmDCqxeEv0HFgeJpaFDHnCXpfQhN0H8A4CsdmUPIUYjisf+WvklqYiosd4tvFFj2XK8A0hpm/CEmD1oANykR/ffChlFNxmPGChA/HPPuswo9FpvAbfLPIPWfOB6UKEvEHViYJyNjfT45TQzPGCcm1ITUwG63ibABgVEz/+0GpmzfcczkKPh9cw7yB+DuAdDD2PG/9NlFJNKI3V2Og8IkpZdTkvyuPcVIdc055oINr5WkMKOVtYLkW4fyKqqcEhKaACDhYBgVqweGi1Go7WhxDDB6PEYyTKw2ZqjEAACOZ8bpJkjtayoPs3pSy6hUJWwG2kPPRxYM4VwyGtNkIYa23RMeuLhA8G9WZcNqIYKnfff1CNcfN8Aqf1Bkw9EP1CUV7zeCn3HnrcDZTlssVbe5W56D2HoymzCmK8ddMLYzD9nX2orSxjnE0jZjPaDzPqeL8ujAZCN6Z/P5ug6bjIFy8BgG1CHubpL7WbbN/JIHY7gnzsimfHN4u4iEAEetnYRq/vm8Ff8+S77kFZuTMHFXWNBiVzLL9MDXdEDGXkc/q4tKMeOLsVuH++ktMRhYBg1M9/p36vWR6nodJ043L5oFPZAhbzCXoZkIh5DwzQWN/KeqUU2FqmrkszpWi60cveXnMNqsRksIa3CQq0VYMYIwTUJwgk/lmmZOsq2P2y2RiAo77C0nN8Yu1BVNY1at7LOH8VT6w9qFKmcJkszBv/fc30SFdCvHoOMR7y3b6AfS4rEA5fzjh/1cAflVVUhVG9uzB07ZQV2rXK19bIOeBcXqPjx2LUJG0ozYDWEq8ROoiF1BTk5GxTJJj25906igO4zcJWVnFgt0jG/LoAxSeRcfoCUvdfcB2LrLqknjNRgOPZ7KaID5d8P/yh9JWRT4VH1cUbGAFMeRPSxGVI9XxCc83pf9yPrOJq+AUzfh32gOsw/VyG/xwQmwNBDfGJwuigc4x5GFFxAMDRdaAOByrrHaZ1GbuyS1GUJbvw8XMYuR8PFRUeUR82XSitoq6RNVzS9Rj55mIFFm/MZBtkZDwwbKYRBeTXBeg7BZSwBl6GEFG6ELr8Yhmz8rk1nlzWbKc8ywfdLJ+gF7lQc9WuHE3BKqUUi9OysNLz5yxhD2gVB0f9hA/WJKgZqnCM4l31mr9FCa8qFOPsC9jf++drx8jHfP9887VZ/TBW2pJU74Bvyg3ya5O8kCRJqKxr1MBrAQa3raht0NLEcwv9Onqkw2ZjNVWiPLOX3UfvIDZWYV3ZbDYDf1SWDEfXEG2ayeTlTBfLxX7ExCuV/8MMm8AIJfemQYUFhLNjdHVE+hDjrZLr4HJbKQ+XcWBCWL2CVeWsHMulXkGYMaaX61jkgIfUc5Z0Vq0LycEWj7AImo0Ff7GU5RXMMPWxD4NKEpZsOa2E37jw1/c+83tWe7J9AfOGhpu06+QWtSySJGFXtkoHzXNDbOMvYQ+6zWZOIii79OSD+/Da5H6aJjkA46LKKq7GmcB4ptQmLWebEM8p9HmQjTXjPc0mxOe6a4BWAcbKv/lEQbkasji3zeh51F4FGqtktI6LeDKfDz6eiUvZ5sFfe2sr3JsVSlm8XC9hg9S1lrEax9bMxl8P5ilNwCRJwrQ/fI316XnYe/Yy6DO7jdfg4cZn9rIEtQ5y7bJBlVmrXlFhyx5HZZ1ubcqUGZWNTlYRzyk7eE8PC++AEIL43iawXgDEZsPbu8+qYaeM9xjiapuuFsiiIFIjPOQlyvvj2H1sqDSsKzP+KEBuusTnJOM95rnrwRRr71XDdybFfhq57xUGBik5BTi03hf8uxmg0bwfi6i0X994SktbdJPLbRO24pXAJwoqlDjw4k2Z2jiwzQYMnwl8ZZLs7nE38PNdGG2zYRTV0pSLhViEEBXxo+eiGjlbtTDk+KZLWOW0WJDtH1nTl1MJZMcCTCx1AmNmYOG0WE2YSUPd7BPMFMfFA9pr+IfK4TSiPPQ2mw0T4sIAGOmgJ8SFqf3Ld75mnKeXcoAP7gP1DsL/rD1kykXVNcCLKTWO9PEJUr0YHm4wSbrabDb8JD4Kb+8+p7y3+cWxWJKWzfIw41fAADnlIlyv2XiyGDLhVOAj5yg8RvhgPENPNdcbgsNOeaw8MILVojjq2CYyYhaQnw5aexWV8MeVGjZXYjtbABjSM9i4kXKZuJSF1/jGLRtCkiQZNkUF6gmomzSVodJ8kxypwrZX7ToLCqpwKvG1yXu8KCSG4nxbeAc8N6QvPOWvlRARZ0QWQzy8X42wTim03h6lVLvZ8yK8tfeyNcXvo6DcRENNX3ya+M4+1iOG18IUHjb0FkHxSfb8uOMREcLC1Rx2LErJSQ0TMaUUnxzOR0llAwDGhvz6xlP48EA+woK8MXd831sihHXbeB4rd+bgYhlDtlBQUEqRcZ5bp7I1I0kssWYmPUZowgIrd57R0JZzCLBiGZhx++TtNy2+soRV2mzsAQgbZO55HF7L4q3dPbBw6gADXNRAM89zHn5dgNeuqrTlfl0MjLHzJpjTQatNoF4xbW6ED+5jHknSZlBqTvvePdib/3DVUtTnYky6CTIvzaE5bMnmbCxMjFUJ7PRVu8llbMPQXc9lPNnsOgRq0rbwiHvdGHm4gkNHq4pUtFWP4cDU3wKzvwZ5KRvH+8wxhUYP6RGERZ4fgXDvVT/fSzobLH63UIWTl7MxHFoNLO6kKg4C4MsVike8Pj0Pku4+3tVTLnizQmlZ0P3PHd/XAN3Olos+kxPjQPYsZ8+fvn6k5BTr8RI+GCj+Fit3nVVaELNhMCXw1s4cbf6GUw2JYmBqVlkLxLnKKqrCks3ZoPe9og2fReoo7IMjm1ccolgdKiwlSik6+zMP+8MD+eg1f4tSzNrF3+uWCV/dFsqDI62uVDciNjwA69PzlD7FseEB+PezCeye8s5lYYOMMFJBGbjso13XCLr1ZVZQpheO9baAe4qixJltNqD/NOsf12M46KTleGz1AWvOLkkCvtvNvp8jRd6/j722+8ohuTsNG7UZHTSllHlOmf9R8kCIn8O8Gl7Fu/M1gFIMi9JWqHNpcup6OPD8iSg8ZCQgiKwgscq4KDXSX/N4fPyzltxGBjG7TsZqbVW8G90YVXEBHbXZQAFU1jsM+QAAaHBKDInT/W7V6uXzLYq8piil+OrsFS2qMI2hCrsGeKmoQoAhpXTD5MYNATNg7uoZrGxcXA7llmHVzjNayo6F19QQ1tp7gS+01Df8GTldUmNQkhnnr7I1ysOFvrp149uZja34JGj4YFTWNSJ1fy4S39mnGG2p+3OxK7sEKx2PqQrC7D7qQnUvTeyPCXFhmvbUaS+O1Yai977JjMcRs4zRBLMeO64k63Pz97PV99/efQ4jY0KUkCyXrgFe2o6ZN7ncGqNsRpjLzCwM/QOqhGEIYdZ32CDGgcO5jMIGsXBD4VGl6I1DfmPDAzR9tGPDA1is1AWHEaLHtKxOwOm09oYARhtPCLhJY8nZxTcKngvgxYuOOkPzHpdj2pQJWlcGVBerSC2nBBxZy64lezHEZkOgj92UwI7Xjwz97j2maLfPN/c83h/HYMrKPWwmV8G9oZFzZI9jjprknrSs+TAT+/HaEE5ymfEYk6Iu7SUEb8+C3VdkWSaE4LWpAxDia4wSZxdXY3H1Q6BP75LbAzzLFJGH7tHcrjLGckI/HnLksOZpg8Mxd7xAjKg3YDNWy+zBaviksFxbl8LDTH89VADqFagqtPfHMWgzf52zVaNAbDYbAn08ERseYMh9lNU2qV52+GCjly0wIZDJK7AwMU7xDnov2KoJO1XWO9jP0kOQF5Wryk2nQOZN0BYd2mw2tae6Bv6rC/mGDWZzJl/PZYKbhzCrirTnc6kqAra9AipJqKxvwocH8g1eWld/bf7wZpfbQnnwcIce+QMAu7JLmftLKbO+ZRoLhRah5BQQ+7DSY4LIC2tIZLBBEcX37oK3v/gO6DuBWYpmLKqFWsXiclP0toPwlq3cutNb6NsXgACuObtsNrbh9bjbfIK8tRa5yzH5eoFMeVNF/9ReZYoDUL0a2YuZN6EfvOxaFBefsyE9gzEu2ouFY/IPmaOjdKGmeRP6mVYWz5vQj3lDF4+w3yiiVbvfzbzGvSZ5LDPh0NUew9kFzHINQuLWJVKOEOY96dkBROiovOks2ZyNsjqH8bsggwEIAe5foOZdeFtVHpaTN0UCKIWmoiQlROP1hwYJ0NFX2Iaop2TPS2dV1XwKdRsiz1f06OTDKs2f2atF3Yl5gZytivIHgPheIYDAS/Xd0smIDQ9khac8nNZ3itWdUZR2swgpJZdmAkG28EBdhjEnL2eGRInOwOEMxD7B1qG0HWf4BVXCR/4c8uvxvcKnE4iNtdbtH+aP0yU1mq87XVKjbR9xk8ttkTAnhODVKf3xn+OFKBMSuCF+nkpsMzkxDkTuS4wMoSCIhyjYhZRzh0R20raoBJRqbDr9FZB7/x/w1gDtQEIHMcX0wXhNL3GXCdw9wWof5x0L1Iez7xRGUCcnK8nk5eacXSIsU4/y4JKzhcFlBbiu69oFCthMQja1V1kCUe5smJKWhW8uVigxbTGZ/+/nEkDIGPMEIr+WSUW36UPOrcPCI+z7C48CufvZw6k0dCIM8eJOqOm+V1hPCbHvhtgYSq7XoZOWu+6Mt2cZKxLUMzT3nQJEjVE2MY4A6xrghSvV6j2KDQ+Al91DyzbAAQY8ISzmZzhRJqWuif7EsKN+Qyw5CcSMYSi+zdm4WtOEAbqNbECYvwr59fBgCkToMa5RIFGMyfatnTnYlV2K7GIWTntt6gBM/+N+5fXE0nUg7x8DKvJgKR88CDy9GxSwRkiJ95dzd+lh07o1oKljEV/zXuqTlhlzFZz+ZOQc0HEvo3JzNlL35yLj/FWkvTgWS+TXcRGBIIR5Nwo/1t4V2n4lT+9i3rcsK3fmIO+a1uML8fNEWW0TNp8sNhYR36RyW3geb+04g1Er9mgUB8DcZU0c+MsVRleegr2vW1xqsl1/uBx7//MEbQ/tEbMFbHcL6gTul0MuX/2WWdacpuKBBRqMOd+sRVEsYu7C6zcKQLXwhRBRs2OiFHA0mP5+xD3CNkSd92KaPwGMbLyiNNP3XRiYah3yOee/lW/4PYabn2t1vSlvsnAll5JT7B7yMKZsJVp2xpsWq1aX69kBcrZAXANiTu6p0VFKmDC7uFrbv2HPcmZ41FcwyPC2Vxgdy58nAJ4BQH0F6J5lCopQFKXhGGcf5mFHM5E3T86uPKpPV83HPp527VrQF1MCat8ZAtAvl2vYHbKKqtDn1W3K603PJ2B0uI0VQtZeBTy8tdfirwuPgm57BSmbMpG6P9cQEp32h6/VehGAbdTiOPWv4cJz3HFGRaRtmw9c1AFgKGXPoq/qLbgMpVHK7t/WV1gLW1F+31/JNVFJQnWDE/VN2pBVWW0TQvw80aebf0fOo72Eo0ZEi06U7sHeLA7MHyqzqmehpSYPMfBkuyix4QEI9hU6tQEy7HCNmmjz68YaJLlrOXBupPpytYCOw0VljDkd97Kmz7iYo1DcXO5J8XATl6Ao1UoUQkQu4/gfjLdmVM38l6KEeEOiJWnZGuSP0k5zUyboW7HWv11Xf+JSeJjCTLrfbU0R70r0JI02ooYxBVx/s0g5s9a2h9YA53ZqNuohkcGwEZtyjaSEaHxzsZLxL1GqpZxPf0ddV4VHgKN/Bg6tRvHRNKR9w4pUkxKicX7ZFGWdHi8okxXjCpUGXy8jZwO+IQAhitISYcMAcOJihaqIeF7Br6vxWjK6kNRXInlarEKhL0rai2Ph8fX/AcTG7hMAOHWGibNBoT4hPp0QKHtp2cXVmt+YXVyNx95LZ2s1dSrLM0mSXNPyCmOyTZ2qGFN0zzLrGqsGB6tjGTlbRtgdVecnfg6bewplHbhVbFhXzu4XB+VwqSnVAGlMmasBTL8zHJ/MGm362c0ot7zy4OEWPXKBy93RXVTmTKu9RYPiFPpd6BJ/3nYPpogIYa5o/BzjJvurMwZr2nKj/mIZs1IOrWYLlS9aDheVK8eJzYYgH0/c1TNYCU8kJ8bhqdFROFFQgVW7z7G6hJGzgaiR2vEUH1fDDHIdhMs4PpsE+a82nwEQZjnmbFWSwW/vPqdpp0nkh2NIz2BML3wbhCcQzXIeLiq6DbJ7qbEHCxdno/tKSBSzhDKv1pfnafGmTENb40f/JHSl1Fc7i+tBuP7c8X0xNDJEqXQHWKjpREE5g1wD2va9eoJFOcmc5xuHKzUMVcg9Pm7ojOvXTTVsfC0UbeERjWI8UVAOwIL1mRAWKvPrBtReMV5LQBdy61wvS9KyQOvL2Zru6QK5NGUFCx/fPx/zJvRDzxBfZY60BYiErb0rZ9m6Xj2WGV4Zq9l4Ss8owApSX4mFUwdY91Tf+yaMmwIBvIKUdr0iyMQqlMZOk40bznCt3xfs3sDeN0GI2iNGlKSEaIT4+9wS4Sout7zyAJhVMFEuehNlRkIMAr09WHjh0Go1LCRK/BxtD26wB928IU2FuukSwhLRetGFh1y6zWKls9zPQCMC6odSiia5Gx2/3uHcMnXzGfcyOzZjtTHpDiieB0d7WFa8AwzhFToIBsp6ULbpy+EmkXjO0E4zqhOGDuilVu6KIRT/UOBXZ1VKieYeGElivFVmIQ+APeTbtUqoWWQM5yLim7XyXep9UuhSZIi0Qs9/sYJBpJ1OY7WzKALMkxDWl0KzkaXnGpPAZpTzXOLnIP7ZtZgxpheyi6uV8MmMMTHY/It7WNydz1f2ZvNrFB5VAAFusT7fP1/tz24mMrqQQ3VFiYsIRGp6HlKangTlFr6VCPUknH5FBIjwfKMCEIl7lB1cmql9buquKGCDlR4zsGTLaYNSC/S2q56CWSTizBa2phwNCuCBPyN6BoRpf/gaizdlqs+zFcN14VGldojvL6IQkFum/SyX20J5sAe9yfC+JEmoanBipccMpiR4SEBzMgzUA4QwZll9QxoNNtzpNFrCPL9whsE0XVKTKG7zHMs+HiJEUIwpi/BhjvVn3cw6qXQWZnUVsoVoGccXq7A9TTZpAAiOhr56fsaYGIVjiV9r0fSBIPcvYJuhvpDrpdMsEcv5kkw6rWmEW/hhg4whj+5ymE6AT7vlWfkEszBKQbr2elkbWHtWoqVL4UqEh4ieqP6YGQpcAYlhCmW+tclby2JRMU5v1r6XC3XzGtvmW3fcCxukQSPNm9BPk6DlCkTphU4I8MwX1ki+wqOglOKx9w5o6G5mJMQotScTS9eBXNhnfj5g6oXyZ07zO6cLSnbKCuOci1PlFYjKBodSLyKKQsFjZbPwuZPh77zYMDY8QAmPJyVEa2DplfUO0IlLXY6JpUupa+61WwRpBdwGyoNS1mdajNvyENaHB/ORmp6LoedXGzDVGDGbPRCHVpuGTlzCRnkSkddBcOGv+00BbDbN5mruNq+AWXId3e/W1DAQQLmOWUxZSbDx5DuH/4oiQEddbkAKJ5LFhJuQwzW7melrIH7flylfE44rS7l/gVEJAUDPkSxcd8d4pXbBrb4S414GpEbV8+PkiDWlSo2GzWbDoQUPar4uu7gaSaOj8KM7gxkNftggtgnpwxTF5t6QS9CD2L5XX0gHAIdWg259GY/+SbsZLt6UiZRNAnyYN1vSQ8m7380KUk3o1F29BiHAzJ3G8fAuh9vnA3KV+oiYECV0CQA9gr0xqrsduGxCVQ+wkFinaAUYInra+nChAcbqYs2Qs1uxcEp/Ay2JUl2+5TSoT7C1Uuxxt8bzf2lif0wcGK709lmfnqfC0iM7sZYBO161zhWOnK0k32+HXh7AbaA8eAxxSM9gJI1mN1bk1hnSMxjjojxBDq/Vnnh4DdDUIHcvM+LC+bVNX4sY81+d1Z509881D6fl5rpnOQstiHBRLpeOqmgPDvckxDSmbLBWOEuvmechh4gsH0wRVHDpqNGK8u/GNgtB2VptiJIksfAJ5x7idSy8VsSEdsOlSJKx3wUP93GYLuBSYWugntyb4WCClBB1nLLyt4pzJ08fyPrZxz+rJsfNpEBF8DRbLAqwTb/73Vq6mtBBGjLPwlNf48RFBiHnTbzWp+chNT0XlXWycrx/vlBcKkjkCLhVSKkXq7mXodLEJxgbnh+LpIRohW6Dh/r+8/xY1xvioMcYW4NAPsh56iwZFZxOtq7MeqcASgTAtvM1TIjVdtlMe3Esa+zm4wky7hVreLscshJl3oT+WDR9oMEjUkJpPkHWXT0vqrkml4bpLSS3vPLgMiSqE5Knx5nfWD0Mj0vpKfcYM82EW/nrJmrfb6hkMWU5FGPaFndTJksiugot+HZSEoj8OiOXaZlXORXLo+/u16KleC5l5By18rb4pAIVtHww30tnoTR90i9UViLBURqFpieeO79sirIhJr6zDyt3n1UV2TN7WahKr2x1le+iaH4Tp5bhXgL/TeGDWXJYFx4K9NaWML02dQCWbM7WspbeN9/YwVFmsKV7lim/zRQySqmRUjx+DlOQvDBPN6ZmLc775wPP7AYGTFPbtM75Gvh1jlJ8VtBlDJ6SjSTe6RKQrd/pQp3O9vlqoeGicrVuwV2AgnoT1Ln3D2UWNA+1hsqEhlAbjImyaPpAIZxqgf6SK8uNaDl5YzVjVCAEqJET+HogBsCMk7BBoN5B2HtWm+jXeHrbFzAFaObllZyynCtT71GSWO8TPfKOy6WjrI5FCMuJcit5HFxu+SJBkeANgCERtXfNSxhXfdE8vGn3NSTLxeuaFhapb7DFJRYbUmj4kd7ano1dpy8rkD5eOJWangck/AzJ3Y+A8KZSXORKVNF74Zu0GG8FjBBLNgFEraDmw+Xd0gqPAHtXoLhipPE8AMUV9cwi/9UZZolzKT1lWkxJCEFmYQWjYZeLMV+bOgCfHy9EVlEV4nt3AU3azLysHQtYDkBfMyB3yVu56ywq65s0DMYpaVkI8vFkFhn39HizH75xewcZwjC/334af83Q8jWNWLob12qb1C6HX64AasuMOY+3BgA1pSDxzyLQy0MDGU1OjMO0P3zNIKPv7scGr2TtunLKFnrJSaZA7nhQs7bc6h5HCPs9983XzDWvlzm46yxsdU1YmBirqfW4t29X9Tq8Gp/T0gCamqFmvTxR+HqKGMbCfHyzHz4LyP4P2yx7jgSVJMsmauS+V6zbB/Oxab6SYMNzCUp3RP47OVs2IQQY+jPgzGaVv01Ep/l2Bo0ag705l5VC3xkJMaCgyjMzIyEGNCAIhDPqFgqUKd3vZpu9ji1C7z2KRaMAkBwQDDJiNsub1ZSqxpdfN6D2MqyTLLemtLnyIIRMBvA2AA8AH1BKXVSNXdf1lfaX4maalBANQoHzh4twn70U1MMbRJ9sddSZdo9buTPH9UbGvlilIyDQJuJ7DMdbthnYdbpUSSJyxcFfT7ycCtJzuNqRkEvhEeBprYehh/fp6bw1DYAA5klx+KJCxS5fu+dwTB4YhvUH8g3U4JMHhasWmV4mGUNLlFIM7BGMQ7llph0FlZ4J3+1m3523X8XAl5yS6eLfA6USKpt+hlS5CVRyotpWVdnsefUuz7kQoukax0WSJOw+XYprtU3wttvQ4GCxeP460NtDi8kHtNXlAiZ/HiH46twVXKlu1EBGs4ur8PPqtSD1MjkmD31xGhfR09KJ2xanSd5Byeek5yLjgrYAcFd2CeaO78s6ZvJqfF44yZFlI+dcn5dNKUCb2ByFD9au9fDBoBOXImVztvmmSimSPT8CObyG3e+4RxiHlFjQqtuk+by4ZFR4YAEUraPPM9RdAzm8BkERTyBpdBQIsWmuMySyE5IDP2coTO9AoLxAe76zgSkQOY8mjsmyJbGPJwOIUMoUvWh81V5mc389tUg3sbSp8iCEeAD4E4AJAC4COEwI2UgpzXJ9Zou/B4umD9RshNyFTsFrKD1zHqG1Jk1WTNqziglXwKI3Nz/+fsGtFR4o+vOdqBL6p/OKWwBKxa3HjjTzWDmHUlr0Qge0ymPD82PMJ4X3FhDbfI5kxHOL2KQZlO2ixDgQHu7Q8zWtvZclrIXNWnx4+HxxURL5lLJNrPCIej3+sMc9ChCgOGs/+jmrEBfxvxoFpGEH4FQSekZVn2BNHN9ms2F8bCiKK+oNvUYaHAx9RwHWerTwCPun33xsXowr675XsOG5MSYWcC8kBsYCdd2NhgNgmKcWC19TIugAUPJevK0qF5FiPDkxDqToG7a2D61WPWETWn63xyJCyvVAjGf2gnh4uN5UPYLVczP/pQJL+F+eRzMh7xRF8WQUBfIqFGtefw973I1hT6/GUPmlqDw2PDsaZPtGdt9421/eT8fuo9avjDN6S255j2bGl7hubxMF0tY5j5EAzlFKz1NKGwF8AuDhZs5psfAOaKLw18kPDULo3RZfWXuVhVGEuGazCCmzG6/reUC2L7CsuN34fAI8TCxSRTjc12KBPfqn/ZrXizcKSBtARUt9udy0/onnYky5kfauAAoOaanBR8xiFqOA1tKcZ5HIV2jUOaxSX/EcNhiYsgKUEERUn0Jd1TVkFWlrJq5UN6KyzsHiySKVBA8ZWiC1Xpo4AIcWPGAYk+INcbjnz00QRABQdAxFRzZh8Ua2IZlCRu9fwH6XnoodMJ0nt4VTlHByRo7C+mA8sGe5ppEXFw3FuCSxzpQWnRatenFYCiEq4aAZpHwH+62cbUDcVBdOk/uwiASLfFyc24z/FRqDieEhS0YFdiBTbJxaRpTuKl2NXgntff9XoPkZaptfQAUoOOrZ+/2nmRoALsPZ4ro060rodCrdHF3WId0i0tZhqx4ARJ/wIoB48QBCyCwAswAgKiqqxV/AkBnpOFFQrsREuaV4vKAcG+aMAs5uMz/Zr4umN7QwJiQnxmmsaVPFIS4WjhqSXxMAmRenG75yxLIvsMD3P/hB8GltuARgm3RNqdp7Q7dIH/nTfnwjIG0opUq/7xkJMaCSBMI3WX4tUTJWg/p1w96cUqTmTtB8lJp+AT/vvAk9a7NY7UT8HDaGw2uB8KEMFWMSL7csDhM8NwIYFVkJQzgRAAe7/QApBY8YDvK22xDgzSDPCjmg6ElZILUkScJDf9LlMgCtdQ64rKmoq6/D+gO5kCiFh02r7FM2ZiL5oYEgZjBk3gsdcA9FJgqlKkUJD+WIebSew+UiT5OGWdNiYdv7JrC9nDXrequfVoH4dWEb+PV4RIQwD13fwZFTll88gpXR76KywaEJ9S7ZnI0gbzvmTezPQnizvtKGc4pPavNYytepdC4iowKllDEq7DqrNgdzUa9DfYORUvOINpy2KRPnDxXiPvtx69/7Ug5gN26NzYazCVEBIqKnJvLLFZ/EsYgnsKkqk6H2rMLit4C0tedh9uRoVCyldC2ldDildHi3bhb9xZsVGTaq+wsqqUy1HJXBLQLuNjdUGaxEl3h8UUTIro4WWvIKxFGZ+oGLt92GstpG1FZdk+G4up9RU8o2bR3TrPh1AKtjSU3PVRRH1wAvLEyUCwUnL2fJTYtKV1J7GV2KvwZAkZQQLdNmy9xI0h3soEvH5OZIcliNOuTEtNbD4huEpjhM9rbiIgJZyAmQ6SKsq4v393kJ3najN9bgkBB+bBXoBw8y9JC++59Jdbo4JrP+6gFeNrWd6eE1ahMm8Rphg5DfdRwAG/4i1wpxme+zAZGHlyDl85OgvE+JXxdg7G/YvdNRwbRI9F6arkEVnbTcumFWWhbouZ3s+PfvM/c8dF62OGfi2ta/ViDXooQNUvIWFOa1NcEZv8Poc79j0FqOANOLSd4KcIPOxY16HZKzFYGeNk3U4LVpsSgYmYxjYT+0vg9yszP9HLlVP/TAArUvyzN72V9+L4pPgsbPwcbwF1jlvXydxTIRpOY6t4C0tedxEYDIbdATwKXW/AJOZcALBXkcX6Fc+HKfSoPRUKn2S/AKZG68zppuFlGh90BMaKHpJAbzdEpaNBRL3hJ4+QaDenQBMYPqOiX2kPl00mzW+t8pSsb8B7RMnFEjGYOphRx29EFsGGtsxWizqxEbHohzsQuA8xe0yUzO8RMz1uANiQnEhdNilSY7AKOAUFra8urvEbPZ5rjmXs13jPnuLbzjeAR6W+NXXp9hvO1bkMJzMg27rkr5aCpLAOusVrH1aFxEIDa9MEYBK+w+fRk2mw3zRPTW1lc0IRkSmYB7p6xA3Dv78PiVd1EJP6xyPI648AB4XqnCTPs21Jw6BBLWS52fs1sBDy+W3+nzoAEB5rZwA0RPmzF5BQiA6Zf+gHG9/DEu8S1tbsHbDtJzBJsnK3ZlE2W7cmcO9uaUYmhkCDNACMHiTZk4UVCBe/t2xUsT+smQ1lNqI7VDa1SPufswkKd3I1keu5qzovgkyo5RpZ8Ca7PY+jEzIExyaexScoU5gSYPZggfE6Lyi/F6HQAIH4x/Vt2JXWcuY9MLDFAiSRKm/3E/Arw8sCimM1BiMv+82h2wbGmrB4YEett1e8ICRlG041W2vgSP7bNTlcjwvIakhGjNdcKDvK3D4jeptLXyOAygLyGkF4BCAE8A+HFrf4lVwlzBznOUDt/8uLVjkrzSb4jiA2pYJOpJ6v8pBbHZFHSU5HTiLxkXlY/vjAjAE/06gWRY0GWf+Eju/vesxWZtvGXT/7gf42PD8NJEmdvIhfGyzjERnf28MOnqh+jzKuvhEBseiLQXx8DDZgO2Jmg3n5KThk6EojSbQCSEoVYoZbph+3y1D4fNE0WVjRh1+Z9ItlchxfFTqM4whb9Ui7C6c6A2LxCp0ZgUrSll19OBC9g8sEnIKqrCG1tOaxRIfO8uoImvsLAT90BEObIWBBQL7eUYbd+GdY7JACiyiqtRMOo10KKL8C85pcI7xfDjyNkGD00vLuPme5YBp014qd5/AOg5AsOK/wHa42616kGcb2k5W+tiQeyIWUDBAbl50xaNsuX8XScKKnCioAIZF65iREyI0pa20eEEIdAqWkK0QI9nvlASwdpQL0H87NXA+9nsu/X3bsRsFmriuTSL9eUyfLxnOQvzTVkBjHtFExKTnv4SqX9KR1ZRFab/cT/SXhyLxHf2MYMiPAA0/5AxLKI0OzN6jiJFkCjKetLnPjhdf57W4BlWfxC/uaqrLQLr52EoB7jJpU3DVpRSB4AXAGwHkA3gU0qpRVno9YtpIR4v3NmzXJvA5CidPdbx6HkT+iHIx64kfXnyr6rBoS0y48KvzZPVksQSiFMHYNjp32Gu/TPl0B/W/Z094KEDjdcB1FavOhQYADidTnx8UFu/wGssdmWXQOIJuUOrAV+T4ikAj9gP4JHGTQhCLVQtQ/Hj9zPk7nMmCLBmXOlm4af3vcIUx6E1wLG/sM3WwwsoOo6A2osopUGIs11Asv1jYa4Ifkt+hlK/fkxx6CV0oCmpJZeXJg7AphfG4KnRUUjdn6v0l3hqdJSWiJDnFsIHA69dVUJY5Mj7GH3ln1jnmIwUx5PgXpFEYKRJ4Rtj/BzWJ8TFBuCSd0uSmOJQ6gOEe3jpmHJviI6dVkMrIzYhApjXFzma5cC8gwxe2qLpA/HUaJZrzCqqUhSHplfFfa+om7sOHIJt87Fy+2lGkbJRxz68+iBovynGSQgbBPh1YvNo0fmPMxrrgTCPvpuuFvmd28XW+paXDSEx285XkfbCGE0PDq44NvfbDMI98/DBar94rjj6TTF4jnwPiNOxd2tAGOrBastdXYfJPs7zWBn0D2QXa5VQfO8ut5TiANqhwpxSuoVS2o9S2odSurT5M1omb+04g8R39mn6ScRFBCI443fIeG8Wq+TOeE9trPPBeBWlY4E8YfFNhya+yTuHGeKS/KF1OlVE0Np7QXe9gU3/NwOPNGwUNmqKxuprjCrFiloBYBQnOkQWpRRvbDmNa7VNmlg+fz0+Ngw2Dw+2QYQOAurMPZvOqEKmFCVb+WyxZhdXo7KuEZRX4utbl2ZuaFaBNIse4eiXplq2OV5iD28grUAoqURvUoyZ9m3KXIX4eaK+CXiv35/NvzBmLEM6WVj5K3fmIOHNPTiUW6Z5f/PJYjyx9iB7QQgLMfGH/IP7WLJZEG+/YIjhtM3fFgHrtGADRQoOswI9C2k2bk4IQ/lwOhKzZk5hRsJFJdHOaWVEKTrGPJG4R4Ako0dDCMHrDxnJ/AxtXwEtkujelxVwwBMnfopOh36HyMNLsD5ml8o+XHANxYc3GH9DySlmmfMQnUkujTMa83bL6jXLWa8RShXiQhxeY6g9QcZq2HYwBSJK2i/uAfENUSv4Z30FTPutXME/nDEOPGBsfiXm0vTzpCALRTGj65/1FY5FPIEaWwDENRUbEYj1Qg7kVpFbusJczza7cFqsfIMrMSvYgVGX/w30mqNSM3DhSWmTOgHAWL9gGW+lVFUYuV+zhZi3Dyg+CVJ8Eo8AWOeYjPzhr+HCw4MYrPbAzzDS/h0G4Zz1D2uscplfeHVKf9zx2nblsx+PjFRDVvfPZwWCVtQnABphhz6/EN+nKxDwIOP6KRFQMDw/4SK04BYKZeqb7DcdWWs4HwBCSYVi5c9I6IXU9FzEhfnj2TMzzX/EoTXy5mMsvKKUory2ASWV7J8oV6ob0TWgEZJMfIgHFrCkq4yEwRtaj21I/UHMGP0iFk4fiMQ/fI3Hr/wJRG/dc7l0lG1oFlh+t9bVAwuYpyaikkSJTjBem2/Cmf82B0r4h1p6RGY8Z1w0FrUeSQQoYIGI2rOY7u1EH+d5rLs4Getzc/HUqChMKXwHEZfPqjUUXHw7M8+aX9dknhZNH4gTBeU4UVChABaSEqJBwBivGThEVtT6Z3vCUmDna6DeQUj8434ww419T+I7+5D24suw3fv/2AbPv5+Hsi2sfx4yNiNaVGqRtBNroOun2+djY9jzWH+hAIAEbrtnF1Uh1uo6N7Hc0txW+uSo2h4yCN8NXSA3V1ptTNRNXNYso6sloaGZe+ofyqypJZ0NWPj8u1/FoocHsQfioYFIGhWNxggXLVM51NOC6TfQ226AoX5x5jJW7jyjjsk3xLqTHAAfHbIpNjyQdUh84FUW6+W9xW02YNZeecMwLzBzG4UCAB6ulxsPD1FQzBgdjTf8/o7QurMwNKXiPT0EGnZR+OYzIMzf/HMQvL1b4Njy8AD6TjYcV2vvhIG2PCR7fQwbIdh8535MDMxHqc8d1j+imYffrC5G89qqwp/LoTUswa9fs3vftO67ERzJPteJnpFaH5JJfGeftu3rAwvUUBNf57J31Md5XhPis9k8QL0C2bMhKg6Avf7zBA0HnF44QESURdMHYmFirBbOKpBPKq8/uA/UMwDTTo5FVlElVgX/AxcmfqPsE6eW3gP6/jh1Djnx4/pppmPhc1VZ71A8Mo5007ShVQ/WQvijxwB+XUAyVmNI1m8BOLHZ61V84pWiniJJ+OWDHf082k1cJbHuzltr7QK6wejaIrjuoMcsx7jI568aG3/RQwMxzKbzOvy6sMRmj+EuoZ6SJGFXdokGGssfiJ1ZJeqDznMMooQNwsrRGTjQ5XHESmexwSsZPOdRWlWPXz5wB1v04Xdq6cQ5vTuvPdGJW0WVlDYL1wWAC/d+hRkySSMlwNC+cgtd6mRx8oXX2GtnA3ut444SxWazYeLAcMP7seGByC7WPfBfLAWOrjMc6+coBw0fDCK3vyUNlehZl43QzsFqS1VRetzNGoS5zHmcMRBcTvvD13j03f2soRDfdEbMNjK0cqI9gc6DUso2v/pyY76Dy6WjmlbLXDjtTWigl5I7m5EQg5+NioSPp808JMPb75qImBtKTc/FjtCZoMEWCq2iQOnrbQUffvRdXUHspkwsSZPJLSllYWh9mO7SUeb5n9uGQC8PrAr6BI80bARpqGQ5kDB/BJJaRqe/5h4t87OLULYVkGbGmBgjkEaE8E9cylCecjV9kz0Au/2SMdCWh0DUAZBYe2s/71umdzmXW2u0OrFMYoUHYFykJ4gVVTYXk6Q0YITrGuiz9YvdZPEfC/shDnb7AYjMZEolCSmbMnH8/WfZwz9yDguX8CpbYmMVz/HPsrirCdSTUW+EGZOAEYEs58ERZNtkihGZiRUAUHIKc53rUFLFwji+nh44v5Qpnycb/o6Nv01iymfSMjXMt7iTW7TpbnlpegtRP+e+nUEOrUFyyS8wIyEawT6yJyRi5m021fLtN1UlDzS7HjVvEJZdXKWQHDKEksTa6tZeZdQUoth9gJlfsHshh4Zo/By2Qek3LYAplIYKS2takiTsyCw2bSh0oqACFfVNoD5B7L7ZiMqzNWI2MyxKTqHIty9oH6Y0KaXYu/YlHFszu/mKdgt9Nnd8X0wb3B3XaptY6DcxFh42D9Q3SeYhmS+WGms+ZEm2fwQR6kch5CX0wmuaTNYV94hEUkNT6nl+D/TV3HZfoPgk/lEyFY80bmJzN3k5bB4eSPvlvei14KgaLeBU/GGDWB7NRc6qRUCa+2W6FV4cKT/nP6j9O/pIF5ApRWNa41IANsT37oJPZo2y/N6bVW5p5WGZxCquQsaFaxZnCWJRNGVFgGZo2EIpS8AfWmNAT/W9vANPFEzHwW4/APUOZMRx6XmohB/bgKasgNLgKP5ZRrLIi/wesA5bvDSxP9JeHKt5L+3FsWrOQ7R6pqwA+oxXEUSH1uCRxk34ztYL/RMeYQ/TC2MQ4+/AIw0bYVs3kXkckm5OmmkVa0UPoyhZDtf1sy4CJXJogwBIDtiIec5UNr/3L2DfvzKWUVrzUGFDpULZYTae1zeeUpBDekr1jPNX1bHZbEDfKVqqCi6OemS8/xyog1V0UwApjT81Dp4DDA6vla3pctN1ZbPZEOjjiRBflmoUGwqFBXqr3RenrFC7Qs7+Gpj6JujPd+Jg6A/xj6pBSKl5WJ7zTAQX7sWwkk9BszZad7FzgUrj9RS881/vBVuVJHXai2PV1raA3Ef+z2yz5YpW/ttEvDDTvk1RIEkJ0Qj282bJaasQqkm+io+JQ93NqOeVgtg7xqtJb1FCdXQ5PVQFZuN5jYGPao+JHsPuXc4WTRtpUVoEpGEnqGUCujF+dvdfcWF5otKF81ZLlgO3eMLcKom1tFMaouuyjIlyLguvMcXhgkbCLQI0QN0kdOipQKkcZ3yeQVZJD5woOYZg6RxmjPk1K+5iF2TncoXBXzcTM+cLVhSFcoOfKxI2clI7QfpIF5SkPLHZ8ND/W8/i7IdWmzKc6usD9ONxSQ/zXII2EfzBgwrSyiDxc4BJy0F4PgpgiuLMZmap1pTKnE/QUHaYgQs6+XkjLMgbnf08ZSbcauXzstom7X188FUAFPj6/zTDKfK5A94lR1C9oi8CesQipfObiDz8hvapESqtAQCBEZaboshCrJcpg4UQGyHQFJ/K6/DAHb/CzqZSZO2/gNT9FwAAdwXFYWjjdyDVRUB1kfm8UuqSTXfVrrMqKwM/BRRv7z6n5hcoVTmzOJkgADjqQe0+8HTUI1OKRiX8wLJKvCf3K+yemYmODFEU/vyt2qW16P/97GhGe+LjiXkT5BoufY5Iv77Ey1MKfLEM+PZT7TGH1qgcbtHGgljANeDBANdNnQpcOg506cMQfB/cp7lWctGzIPQrLYHkLZQsB25x5aEmsSoxY0wvhbum4VAZIuyZoLl6+j9ZeOUn4LK/QbP1C4QAM3cAb3QDQ09oxRsNGGo7D4BRf/xi6gD1GnuWMTSGqDi2zTdFf4m/1+3qdxFFIiPAlOuEDwaZtIxZ0mlZjH9IjusbRA4BuEJb8VCFgR7G2KgBiBxprTwmLdf26hB5rHghnh5ZY7FRz5vQD7988A6kpGVhfXqe8oDz1xqGVm5Ra8bqgYj6c4iwAXAApbkn8fiFH2OgPR905Gy2rsRKay6xD5v/Nqhh1oPfXdEoMxcnsHVybjdoz+GobHoSWUUVSLZ/hKG2c9gr3YW5lU8gvKc3Rl35zPwafl3YOAuPAk/vMg0RcVisKLxZmGJAcUQXYOC4Io56rHNMRsGI15D80CBUbMqUEVIyHbvI0iz+bYYDjFKKnVnaMnBe6DdjTAzjcuOGBudy8/DW9Lmndl/2/SCATxBozTWQrH8D9WWATwj7y6WmlBV5NhOi1RfqcpSngi7kHTmbatlvXdFD49VSD2+Wc1l7L/DM3luuspzLLR22IoRgYmkqPon8HMlCEmtiQC6abD4g4oPN3Wy+aLcvYBvr9bTlFMVuB+79tctDjku9ARAk/uFrvLXjDKsJObPFbZZY8ffycNprsiLi4bQALw9zr4jzL4nXKWa8TCkbTyE443f4wbGfgR5+33zwjjqXXE0cFcNj0mILUkOfEcASIQVATdITRvGikdlfG4+3UBxcbHKlP1e0NpsNi6YP1IYfJYlRi9RdYxDS4c+wk6lTuU6mFIU052gMtOWzokVOd28mLvYArvzNFMf69DxtqA9gFvLpzUDhEZCM1fj/7X15fFTlvf7zzkz2nUAWyMIOk4AkbCHBW1QCIgRa23rb27oE2ou4VbD93cqqAoq91yv0VqvYVoLVXm97q5VNhdiKVxI2JQhJWBSyELOQfULWmfP+/njPe+ZsM5lJZgaC83w+fMicmTnznnPe9/3uz3eT6Q18ELweK0wfItPwFSLRCXOcfkYZACZwpVoRxy4RByqW9ivcZaiD6pnrsWnZFOZ2DPgjCsYUIjIkEIS733jsSh6zclAgCChd0vKYpjwtn3UpjGJuMe6GUvXsIdYu0PgpoAHhoN1tICd/B0ufgT3rbq0F2N+cEgRBV6ApXFcGA7DqU7srWyY4aoPGsUZWoSNAgyKxeX85dhSqumsOEZAbyc82c+ZMevKkk81FDUrx+WurML32bdAs1quCvv9Lx4FyXj3aY3Gq4dtPz7QuR//zMUgbv6PzhMaCdDahVEjF/4v+NfaHbmSaB6dD4HCxn/cPdhbB0m2VembYbDYsfekIIoID8D8PZts/+I9twMVDduI4EQ00CpdoIsqEVKTFh2NO01/Fdwg0O0ZYHPDEOd3GRup7NWbtAen15W2LlYJDfp/ipijqUBpCxiOuS8xAy1oFIXcrOn41GZFWWQvRuHRtYaUTy0M9Nod0IADT7s8f0KccBzC6+00AwP7AdUg3yCr8VdeBUTOYhu/kOf5gZxFOV7eh22q3VGNCTAgKMOIHs1KUbiJ+v6ROdHaUCsk4JMxAJLqwwvQhnGL2g04r37cfuoDD5xuk3ugAkJ+dipIrbZg3cYR9TPLMJBVoaCzImvNA4UbW4CtrFQi3JGXuN93/HYDXD21cYsbYde9Lx392x3h7jI/fK0pZ9pTaEgRwNOa7gNGAio4AdHa0YIXJAcs2wPYIB/1Y5Ja/OTEC5TJXuTkxAvt5DxsOm41ldspQKqQg3VAFGj8FhzELl2q+xtikkZj34HZ7ZuIArBBCyGeUUic1AJ7H0HZbAdib+BhKqlux4hir5yBg/E13RVxGYpdMosu7u7nwgPjEjQw2ob3bKpmmEUEmWHqszETNnWBf4OpCKBlIZxMECqQbKnGg/TtAO5glpK4gdkFwCIIAi5hvzgqeblV0KJSK33jVMc9IGTkDsLECwDjShqs0CitMH4IGZgKhw4HORuhqp9caGDOxk03apcY98kB+cCQQEAwkzcTnlS0obyHosY7DwshqjPr6C1x+bibGUSY4aMgwxkHFBYcxCIhPtzP/Av0KkH7dj7ev03AjyXE86GHU0BFKwQEAzV8pX1t7FD3e1eDPrtvK0jP3/+yfJDeMOSoYj8+X1Y8Q5mbR0PaLSDdUoxcmjCKqOaQnZPu5P4/PH4+DZXWKY8cqmlFea0FmSjQTtoC9l7m8kZMYAyGdTcCzw9mXsx4CufM5tjaCIsWYkgj52utnrq9ZMBGCIGhifJYeq1IB4JvuNW1Ffm3gWExvfg+BxIYy653YE/8oVjTpCA8XuLbkVPEZSdEK4RFoNGBH4UW7UBMEJsxUSDdUoYsGIKT+LNJoFW4ztYMK6SAfb2PZg/yeOUmauVEwpIUHyxRJx2a6AThlnxBpiVGsslWOujMs1uHCBi0vfOPBeN69jb9ePnc0q1sNjHAqODgM6p+0dmt7LzsJIErnMRgUJG9cI0tLjLB372M3h2Xt8N4QohCpDZmAums2TCLV7GO1p5yOGwlTndYuyLWxB7JT8PSyKdJrQRDw9LIp2kA+IcC8J5nw31eGXRWVSIsPw+Z6Cza1v4kVpiJ8hVSMDe1gmxIHMTK3xKhZAGeQdZBF5BYo1fT2uGaIRLdNQCzpQBxpRxxp135P/uy4Lz/1VofBaZ5qDUDz7KRUa/mYutt1BQfHKNKEONKOUiEZUWERSOoq06e90SGPtP8Mcw+Vy+Y2AOm1IhDMhf/XpwGct3NBjVkAFL9oP+mCrawIsOYkEzAE9o2x5iTLkrrtSdeSQ/aVS+2IpfbE6hjf358DTvwB6GrUnCOx95LMlUjx0rV/U36AZ6id2MkESOpcp3HQ1bkT0NbZK7VD4Dh9pQ29NgGEAGvmTwBevdX+LFQCPYSwFHI+p0hDKZs3vBYqYSob80CZmX2EIS08AIB8vA2bag8ojmVd+1jbDMmNHgvqrAoA0qLScP7MX88C0l+fYptJWBwLmp50EEOQw9olNl0CW1QuNhHiAkRuyu9Tm8zsQljtiEyjTuy6yILAAK4ZohAmtMEp6s6wBeWEciMyOADxkUE4UdECQRCwKS8NgiBg/5k6lNda8OdVOcoxiS1lyaJt2LQ0HaAUySe2oN0UJhaagbkWOlU/Rm32nvFBUboBYLfB3UMndgJhCcwCo1aECe0Ic+fUKz+x0904GdMTCydhde4E157dwmeBL/7HoWLCN594Qxtip/8AOCKz/mY/yP4/vtOphaYufpOPSyPQOEP1HxbYBUfdGa0bS07x0tkEfFbA3IJcEI6awTZKVdsBNXYUXsSp6haWxSeuRwqKjORoe8yKW9g6gkOO160LscJ0EODhh9BYIP17dgbihKmMrPG2tf3OqVPVOrESMIE7Z0wsKCEgIdFAQCgwbCyQkuOcyw6wMzv3k/F1I2FIB8whCKDnD4DUnUGpkIrR3W+igUaAdF61FyHxquS6M0yTczHG44j+HNChZl/xPrC2hv3etQbXBAfAJjClLO2UE7X1s/mwy9Z279NQSQDoj+qiX8ERMowt9H60+8fnj0dsWCDKai2YubUQgiDgREULGjt6cbHewpIE5GPifGDvP8mE/4XvYoXpQ0SiAyxrzUmr1Csn2GbYo2MJDATcnTZyBhAxAqBWhx8tFRxUSwMuJ2A4SrXWrRE4uL5fixYAhqMd5MgLqu+L/4+cweaWk2fIW8g6cg8pQIi98NRBjEiDaw1KynpC2DP8stDheuTWf0l1m5S9xzPlMpKjxDRgcTyLf6Vf8e8MnU12wREWx1zavBi0HzhKMJCashECLD8APHkFMAUBJ14DdVSDo4aT4skbDUNaeFBCcBgzUSqkIt1QiYrgexFHmIVgMQ0DXfCsnfBObnm4IED0sio4CsvrtRu10ajfz9oZOpuYZsiLBhc93+/mwwWHHkWJQoCo+XU2ulA0CQAj0u1ZIl3NbONxUiMAMEto76NzEWwyoKXLKtGfx4SY0NJlxScXryoLBhdtY+c9/ipw+FcgooWYZzyK40EPMw3REb7+jG0Unlxctz0JJM9ind7kNOhgaZV/C8gDwOIMCvDOdVkP2TP4nMwtt5gLCGG+b1c3HY5ZK5n75cRONreSZjLr08m8khe79Tuuj58HQNjvDARyS2iU4/iuPJOQZ/Hx8Um9euwfBv71I4fnKhVSnM8pFxJCOHYUXoRABanQU44fzkxSWmoGgyTESf1ZtMBBOrwaatbkGxRDWngQQnBq3MP43+lvKo7XBk9AhLUZZGusPcD3k38wzUIQpCb0jiBPEwwyKW9RkIlx/mgWlQMt/5Qwun9ZxSeLCxOGVynzDnnchZWWGIHwIJMy5iHn13lxkvJEarJBYmT3yRTEaMFnrbRTOLgwrl9/9CXGDA9VHGvpYlp8ZrJOIFqHtoLFFpjw74LJsf1h63HZgnQJhLBnkDBVGWMBQGw9aO5S9RPhdOR1Z9hcuvM5p2mn9p9xgx+JUmZd1Z+VOK6uGV3YfE68ZneBjJrJsqz64UxyeVzcajz+KlD6V6fn7BezRYWpn/vVL+0NH9eBXzo8jzzR4TzRIbV8bR6Lm/QDztb8RY1Fmtty/Ol4NWw2e4q3JNREqygG/Vj60ni+5ZBj60bCkBYeALDG+L/YVPew4lhitypY3tkE/OF2oHArezAu1FNwtt4eq/Ih9oiZMiXVrfb8bLmWL1KB2MRbm2moUK4Po4o/CWBj+rvrrU7+58Fs5JrjsfXAOVBKJc0/fVSUkmPndnFj254GXGOpnnTmv4ruMtkkDxnGXnc2sf4PPe1sw7nW4JAQUQ5eaKZXv2BOCLeb8sovOT1nCKyOJ6cpyPOamcHAag9UaKLhyFQTWXY2MzfH7FUsVvXx87p9KfQg8SPtU/Ejdav4keTCf+ZyIGsVQkelo4tqNV4rjNg+u0hrpbgRE3KJt4nXecRP1e814gwhypRVZ/UwHC6Rk/JkB1nMwJGL6HXrfKRSVcZcaCxjCPhsV78bNu99MnVkhOa9IJMBzZ190pqUfYlZfq4gcbpdKenHir0RMLSFhyAAF1jMA/FTmAthRJr2c6Zg9kA+/Q+7C4u31HSAJxZOwt5H52p4kcwJ4cgaG4uS6jZ7UZB8oa/8BDRrFYw6ejMNiQVsMv6k+Aw2eevOsApnF7QfgC0qS4+SY2frgXNOOHbYWDqNUSAnf6dd+Gq/Oqexd7HuhFKKEzqUGwBQ19atXeycD8xdlwzAvlPzmS5lvbPxOXsNQJpLcjTRMMSSDoklgJpEy+rk79g1EDDhceEA8LFrLktKKQ5faMSuogqpKJBnFB2+cFU5Nk6ud/s60AXPoq6hASGEabyvW++ExcgsOhNsWHM8R5uZ9ftct+6RS7xNhADGAOcn04N6jh17VaSacRzzcMnFRwjjheMxw5+fB/3px/hbQB5qabTinFmGCwiGyorkayE62WVBO3N0rOZYj1VgzMRft2lriH43z+n5uiHez9rPWdfH2Q+6FPu83hja2Va8W5el3s6QqQc14d2ERf2a8nxDVmvT5XUdKK/rkDJAFGmoggBKCDb33IunoOXUqhOikQjZxl1fwv7nNR897S5lWMh7QjhtVgWw6/z5eTS8MBtxnW5WsroYVzAYDAgPMkkxDjlauqzYsr9c66cGQG02jQJqg0FX8EqoP8sEiIuZc/02qgLsLse6M6Ahw9HZa0WYrRWx5JriXJ1WA0JNISDWLrbQaz9Xpui6mB2TkRyFkupW7CqqkBod8eMaiGO+e+cx3NZxC34S3IwIazMrDLQBl5CMsZDFYmY/CIDYeco+eNKlQkqXG6ABABmEzpmYyShqju90yjbgyJUG6CSs3L5WisvRj7fhePllrLbcg49CSwGhVfqYFLMakQ5clWU/jZwO/PQjlzfrzyq18cNhoQGMmXhklL0GRRCk4lMaPwXH+iZiTvM7mu8Gow90uBnEZGLzO/EWl8ZxvTG0LQ+Apdapm+CEajUDBT7f7ZKJGhFk0lgeHJuWqhYU75Vus+G+L+7T/U5iz1e6x2HtdlnLB9iGuGV/uaapkGZRiaCE4JWJ2n4V/cIN7f7tlXNgVDV74veOU2sDsJvx8VNBGpXZPQCcCw6O1LlO6dg5XG5UxS3H2atAbvk+wmyt6IFWuw5DBxMcctSdcevZ8UZVvK0qR35Oqq6AFS8EAMUO6/fxn1PeU76ntgKO72SCY9aDTtl0HcFpjIG7Z2tOAnFTQBOnu3xeCUmzmDCbvYrVezgZm1sU6OJ5SHc75jT8GaVhP8M44TKaqA59y1VV2mzSbJeGzqniv6hhmX5y2hSJ0l5eF8NdoQlTQerP6goOCa0VbC71Wpz2ObmRMPSFB6WssleO/vyx1xrsPEoOT0vxycWrKK/rwOSEcM1iv/u3R+ybjyz9lPz+NowVLsMGMSAtCjIeAwEJ1P/Bftxo8nHxDVGdrqubBQaACAI2XfiO4lgTDdV8TsJsceNx0NFQb0xb9pejsaMXZjEDbPnc0Siv64A5MQLzJg7XWkOT7ur3WpGYqQ3sZ61inRLdqNdx2qiK4/a1wF3Pg965DUdH3IMgaHuBOISDvjBOx6ayuRzyS/1jG8iHa/HuQznIz0pCykllbGys7RIQNkI/phDUPwUPx/ZDF/DM3lINtf7dvy1SClneirbhLKy1LqbqylFdzP6/q//MQrcp0MWYDA2LQ5iNKSxq61EXx1/V786oAqeKz0iOkijr5dDUxQCsUvxfD/c7BEkpcVMZuZ4Y2sKDuxu4K0MN9YLiSJjqkk+Rz6VzdR0oKKqEOcGuaZRUt9mJ7Hj6qaw9pxE2Flh84gKQ9RAMyVmMWoP26v0U8J+TXMqwkDfAUvdS1u38JrbYJJ1NoKYQnBLGoYmGI5Z0opPq+K5nP8g250XPu5RBxMfEXQyc34dv2gvM8cqeEIC9ero/1J5SBvYBlvrYT+qwemwuZeywD4MYDCge93OXzw8A2DbKrXgVp6yXY1dRBZ7ZU6qND31ZyGh3XjTj30qXKXiZpE9eu6oTt9rJGlO5oL3KmXV5Lw+uLJVUtyoJG/lmmDAVAU4ELA0Zrj0oDwa7ALeEv/1LIE46e2pgCmH/67Ui0MGaBRPx7sNzsTHPxboYShm9jzsYAoIDGOrCQ+ZuQOpc1XtG/QKr0FjW/Kef0n9CCP72yFzkZ9stjvI6tlnnZ7MmNZEhMg5+QpgfXo6Vh4FDG4CgSJDlB4BYVZqg3L3mgjXE8euPvkSAykU0a3SMsvKW4/CvgGuNoHHp+G/rPGQavkIs6WCCw9H85NQRLmYQAWxRceZawL7wFQR2gN31cfxVXDBOxDmk9H9yrhgkTGVaopvBcpfaCXPYbFjzheNe1hKIEUjIYH9bu1jQ3MX0Sl6hzK00vlHvO1Or6V8h1UJ01CHU2iodptSFhCUXvR5Mow7A8HBmFfPmS+aEcGQkRynnOQAYjaA6mWkctUHjQPQqvpOzXS6ElY/NZeHP4Y63x9rVb0tjPbhUF8OTQ469Cjr7QewNXubayZ0kEtxIGNrCAxC1UMo0LTnUGitHZxPQ61qlOSEETy1L1xx/alk6NuaZ7QFXwB4ck+N38xjDaHcre61uc8rda4mZLvunuZZ4WsaACgC7i6swLSnSXnnLPszcaZZa1FgEdFupVCUdSvoQKmqOlwyjQXnR1/GdwPu/HBA1Qr8EhOwgEBwFmrUKJ0zTMYy29n/i+rNKOm8XN58BtRM+uF6/Ja3m5DagroT9HRbHfNsu9KAmhOBbE0ZIrKy8kZc5MQKNHb3K3uqEMFcapxpRnKefHxo5g2UhuewKtUrtcTnK6zqQkRytnFPsCyDdjmsWNLG9OM4f9Rq7x25Yjm4Jf5li0m/ck2PUDEb37waPlMudRuXfocBMk4OYpxzxU8VMNNcVpOuFoZ1tBbBAdem77G810aAccq4fZz0lZOABMjWe3nMWBmJAZIiYsSPL1rlmGoYwq2jxiBXLx75sROp/3orEa6UslfiqcjHgX//ucpEg4Ng/blBnwXDrgVIkHX8VK0zaADUAjJlxJ2Ou5RQPNZ+x2oXB9jpxhNvXgths+NHZySAisd+S3q2oCH7A8XeCIpVdF12Ao0UOOOjcJk+5DgwHLn7gGgVH2t1u3SvOb8W1V6eZTXAghPuDrQeY57hwTn3+jUvMEvknR1pihHY8sg2aho5gVED9oeEsEyABQS7Hq9hPudH8jF2IvSrfCaGkAj8pdEnoq+FSp1FCWK3NgV8CJ3YikR9Xt2LgiJ8CTFzEeqkPgVTdoW158Crcaw0svuFIcADMh3/Xr1zK8mCnZoJD3mHNLGZX7C6uwq6iCrR3Kes86OwH8XeTMohGOpswp/mvCLh2BddMMVrBAQB/yHX5kgkhiAwJwPKc0YrjGjea/QssOOnsnCd2AidFrTB5FvP/ejvbw2AAiWJWULqhWis41Jo/dwu5uaC4O029yBVWoxy8tuKO9cy96ShuprgW9xc5jwvJob9RP6nfShlOHg9nBnCx0EzOqCAHj6EpkjBkApbMWoHasHQcjf1+v7+B1BxghXOaFDUGouEDADpEQlRXrI+d/zTgam6XLe3Fv1Ie62xigiJ0hPK4MZDtZ0GR3lPcPIihLTxEzZpmreqfQO5D8WG4kOXBTs0mLvcDx4QGKPj7gwMMiAiWpcbevha4c5v0eTWGow1hVlUhHd+Yaj5zy8+5OneCbs9pjXsBsGuKrqD2c7eKAwcFQiD85BD+ZlLGF5oRCSrvkQ0oW+EOQKC5rcl//DzTFi8ccImYsL+CNz247I4RrWTOuSWvMHd4GWvK3XLvyRkV5EhLjEB4oBFb9pdrmQvE4sXEn3+KrHH9bNLxU4DyPcDrC53SAuleiij85WPdlJfmeK6LyiSNS2ebsSPwtVd/1uVYox76LUDVW3/cMuJWW9wURgf09efMM/KVY8LIGwlDW3gA2F54EZv79OsqADCSv1Ez7H5EN/DEwkk4tvYOmBMj0NKpzCzp7hOU2RWUghxcj+zG/0XxcBc0MYBtTPFTXGKu5eCbDu/Lzf34vC+3JltHpE35m2kJGqhOEZoeglwrwBsMBEHA7Oc+QnO3MjZVK0SDqIs6+2mF2x9cqjC3v8msrhM7xYZHI+wZOXpw8/nx33e5enp8LujIGbD0EpQKqfhe5F9A9VgU5Di03q0Wy5yxoKzWImUU8uy9wvIG/dRYQgBK8fnvHgI5vhNUpOXRRf1ZoKNOtGhb3d4YdxReUNwXfv90az0WbcPnCT9gPTIstezzagskfoq97XBE4oB7wmw/1M+4ZOvv88Qf4pnpR5iiq3apNZy1M/wCrBZmCGBICw9KKdq7epF8fIvjDzWUAiNdpztXw2g0Yt+jczXHNQVBMteVWz7qB/+PVbe6uNDdMuUJAQ2OxNER96C524Y40oYmql/0qMB51zOHBgoC4Be0QNMSNN1QhWaouIMSpgI//ditoCZHvwtcMzCxf3rWQ2zz6bzq2B3K3UOjZrmdPuzyM7ztSZDkWYi0NsISNwv7M4pBrumwPY+aYY/rHXvVLW1a3pMFoMjPSbU3haqzICEySDcWQwFcaGVCjdSdAZ39oHMXlottg+V48eB5HCqrlwQrZ5V2VOtBAewd+TPl9XU2oYmyOUVNIeyZhcYyAWL+tlvPTvodVwpQZckhexMfw66iSmzu/pFWmMkxgHt0vTCkA+YEwKaAP4KYPpB6A3PQuHSmfQBAzQm2QQ8gMCYIApa+dERzvEyWKcMXFZ33Sxx7ZSXmXP0LGmgEwtGDUOKgroODt7x0Ay4F60SQ29cha56AihcewamOcTgljMUKkxOitvgpjCjuDws802zJAQgh+EFiHVADnBLG4ZQwAYANK0yHMAxK3zvqzgC/v41R0bghQOQLHIDUs4Jr/FLLXhkkOpPFz4LI+tIr+qwD7D6t/IRlZw1AKXH5GRLCNhMQzDn2CvB/Dk7Y1w0sfA4AYRq+m9r04/PH41BZnSbuATCXrabvu4hz5kdRd7wHxwQz2ouuYp7hNF4XFupToLu5KcotorTECEVygUZ5s38Jm0xvKA6VCsmwDJ+F2OZ37MV4nU2Dcs9KyRdUReeiQ1tEKMUmAPNqfo8Rp/4OYmiS2khoL9rtoVw3DGnLA4SABEeDZq3CIWGmuAmNA42fAjJpCdPERk4HiIHVO7gJeSBRzd8fE2JCRJBRo+lfthhRKqQgjlgcCw7uBkmY6nIVtxpu+fEJwbmJjHnYqeAAWNczAGivcWs8boMQkPELQGetxClhAlaYPkCm4RIjj1RXlfOYhxvNvNhPKIvMxq57XxIcXJDILRAubKKOvYC6F7IU51IIDsAekHbDPaQ3PmevZW8wa8gZOhqAXQuZIPtpodtj4tT+5oRwDZ9b1thYfcWEMKqV1llPYLP1XkSiE5mGr3BXmIOUVDfjQvLnpxZqvB2BHNsPnsexVx9kbrRZK1EqsPqZdEM1owZRFxIPMq63o/CibuxRYtu2XwiO/uEXmNT+KdINlSgVUrGkd7P+SV2sdr8RMLSFBwB625NSzIMJj/Eg9WdBe9uZFCdkwNlDPJA4PDwQLV1W5Oek4tJzd8GcEC42OWpUmM2EENTNeALrhr/s3HzPvI+ZpxMXuxXY1IMr/nxKKY5dakKgK5Qb3Pdq/vaAxyMfg/q1HC/2fRdLLuZhs/VevG69E5mGr0C6mlgNhdy05zEPFylc5JCTSHJsXGJmTLYq1wchBBvvmoQfRJxBYtdFlAopeN16p/6JQ4Yxi3YASom72H7wHGpe0LpOJcSlM/dazWesqnyAIIQga6zSpZKfk6ofT+P4eBsWXfkvAATtCEYTDVfWeRiD7H8PILGArUFto6alLx1RdKiklKK9x4qjX1tRPOIebLY+gCW9W5VfUscaBlGMJ6/Kl6OgqBJtXb3KNSAIID1t4pzijetU2YWzV7E9AXC52v16Y0i7rSQ/Y1EF3k4xYU7DQVwJTUNpRyrS5emNgwi2rlkwEZ9cvIrGjl4QEGmBMe1MeT7m8rDi3UdvBcGtwOb/1Z4wbgoQGmPvlTyAYjz7751He7dVMpMFQcCW/eUKxlhKKb77ShHKG67hVEQ2EnqbEUu0fTcUiJ8yIK1s+6ELOHyhAZnJMdi0lAV1n9lbipLqNsybOEKRHisIAgrL67GwsQAro6xY9ou3gGdllBbqPHgXi/DU4NcvB+/TnZEcrXAxcJfVxpnfQenhPyPdUKlwhUrg2TI1zSy4OcBnqHYF6bmGXvzwHMZ+thVJvSwzi85aiUsnD2IcrbB/iLtnB+kvp5Ri3xe1imPHLjXhgewU3dRYKgg4VnYZc67+GZtMbQCIdm7Zetj9MgYyD4Cb7jSbzYY3jyqfwbDQAMkSWZ07AQaDQbJSvlO5Ajuq24DqCmwyvaV/UnkrXJCBu64c1FtpjhOCD5NWo6zWoonxHR3+fWbZDYLM8nphSAsPe+BxDLIWvwp8OAxJx19FknqPGURDeUII3n14rsRHxDmJlueMVjDrKvzrlGKTcbf+CRvOsiIg+w+4NR6OFw+eR2F5vbSINi4xS+1pl88drbsRvRX6I6T3nOxfeAyg2RLXxEqq2yQWXQoqaWaZydGKMRkMBiwwx2F0pxXf6dmDpq1jEOvsJ12kq1ePiQsvgNHKFBTbNcWMpCjFZ/nzey90Npp7p6Ei+F79E3MNdtTMAW/W2w9dQHtXnzSHOOeVVHgqjsnSa0NFZwDeMt2FHquAFSdewzhHJx1E+1IeiG7s6EVMaABOrp+PpS8dQVmtBXXtPbhvTqr2S4TgeXo/llnbNZuihISpjAtL3uHSRfC2CM2dfRLlOQDptR4R4fSUYTh9pQ2bTH/ECtMHsJiGIcKqk24dFDUoq19ebyXnKXNUb1VWZ8HR2Iewok15n5o7ekHEmBZqTgLj5g+JGg/gJnBbrVkwEZvC3wM5KKYn6mGALg8OQoikSXOoKdkl/2xOKpKPbwaRpd7ROBXFyZXjAxqHdD5K8cnFRkUgcey691FWa8Hw8EBFIHFH4UVMS4qCOSEc9zS9gkyDCxQJbtadAHb/9zRxQ+b8SAALbkaGaOni1yycjGW/eB1NNAKxRBuoBeA2w696TFEhgXggO0UjOPj78r83LJ4sblK92GR6U306LQaYUMAaQl1VNITiyom8IRR3ub0Z/COs774Xm633Oz/xIOoVeE+WYaEBaBE74u19dK70Wo/0jxCCeZPiUTVrg+MT151hSQXsC26NSZ6VdmL9fMV7P85K0fKmAWIMgqAdISgVUvQFx/GdLGV4EPEqwLV6K85WbI4LwwstP1OfAou794B+8CSkxmI97sX1rie8JjwIIU8TQmoIISXiP8dMaoMBpSDd7WxzeUGnPzEw6LaOrhZ0EUIQERyAdoTZg/cjZ+AYTcPn8f/M6D94AP9j51Xf/YE3DlIHEpdMTdBYQ7uLqxBoNCDTwAJ5r1sXoDZYVWTFi6Z4UNFFChc1pqfEaI6V1VqUnE0iKKXY8sEF/NGmU2EfMozVWBzfyWJXA0y1BkQ3gupr05Ki2OYte45GoxH3ZqVIWuvr1jvxunWR/UvxqlqGQfjM+fPbVSSyxYraq7ohFCEES6YmAAA2mf6oOQ+d/aAyRXcQY/rzqhz8OCtFUkjGrf9A6lPhqFfMmtwJeCrQiaANjQXqvhiw4rZmwUQpuUEOLszUKdgFRZXIz0nFDus9OCTMQKnggHiTkEG5hlypt+Lrr6CoAhnn/kMKlo/uflMRSyPHd/quONeD8Lbbajul9AWv/gIhrJ/CmT877uORMHXAhW/y/G3esIe/ppQqGvi8ePAc3jxahWbr97ED3wNA8dzXf8KP8BccHXEP6MpDIAfXsYkyCF851/IppdhdrPQHy/mtuDVEBYqC4kocNk3DKWEcAAMSuy+yrDTugulqtrsYPlznMqmeGgLV1oekJUZgw+LJGv8+u4+X8XayCVBRJNEp32fWW8JUICTKHiNyA9LiLa5EsEmpJ1U1XUNGUpTCl89SQ20wIBSvWxdhs/U+rDb9FcLMlagv/QcS688wIUbBtMQB+sz58wOgCLjy+aW+huOXmmQCbRHaEYofGT9CHBGD43K3xyD85ZRSdPTadGlKssbGal2hYhEcOSb666uL7Fxg8tc97axuaBAxq5LqNkxLisL0lBgIVEBBUSVOVbVgesowydUXGRyA/JxUKeaww3oPYCK4FJqJpd3v2U/qgbiCq7xp/FjFMRNexyJstt4LwIDN1vuRlhCJOY1/sZ90CAkOYIjHPCQYjcDMnwKfqDJf4qcw/33NZ4OKeUQGBzCNUFToNuWlgVKKU1Wt2FF4EWsWTBQDwA0q/yzBuu4fA8HAj67+BdgiThQPaBiUavuGpyVGMA2W2HmSth+6gGMVzHTfYf0+AIqt0fvwesciVI/cgKfqZfGXiYvZvbzLfT8+jy+ohRnANp+833yKhekJUm8PQggig0x4O+U9zGn4i4bMjpx4jS3yO7cNaNPhv7Fh8WS8d6pG8pcD9pahCVYbHp8/Xhr/3b8tQkl1K4aF/guaO3sBEOywfh+vHiNYRRsxZ2Qmsu7cZt9AP1jrcQI7QRCw9cA5RAYHSOSJ5fXX0BscIQk0gGC36Qf4Q8JfMT0kht0fzl82yA3REUGibk0FIXYiyUXb7NQjdWdYhT7AhP8Akx1kPwQA6LMJ2FVUIdGo1LR24/SVCinGtzp3guT+k4gU96Ti6onNyp2OYkCFgWq4UqvDj4058n3xh+Wp/aoTfrB2SAkQb8c8HiWEfEEIeZ0QovVneAqc00aNlZ+w4sBBpsOuzp0AUKCguNLOskuB01facPhCAyilMBgMyDXHIS0xQrFRAQS1czYpT+gBwbFlnz6RXVpiBCJFzi2ueZcrPkewoXUp/hL7EJbWvaQ88QCC0tJZxfjCLaMiNFp+kImgvK5D4c8HgDULJyFr8mi2wdSfZemKigvFoBeS0WjEvapgL3fFLExPUARcqWg1sfftvVm6+ygOjliO2Q++CmIw2F0ebvQ7kYMJqiO6aZ7pTx+UUogBoLSmDTGhAXi++25JcABAS7cNexMfB+Wb4CDdMHxczggSdVOwRZ4rCoDevpatOTlWfsIaSA0QLGElB8tz7LUe/P/Gjl6F5k8IQVltO8xc2AHYFPhHrDB9iAOh3wGeamV7gZs9Yfobn7PXSmZu9l5+dgreTn4Pc67+BUfj/hl0Uwsb1wBrvq4XBiU8CCGFhJCzOv++DeAVAOMAZACoBfCfDs6xkhBykhBy8upVF+id1ZDxx0DNr/O7eez9AS5yOTJFX35BUSXGrD0gBV8zk9nx7YcuwNJjw55HctQDxNxLLyoPeWCC8IZCD2Sn4PK2xVJDoQAjwepce0qsfjohxVOBb2J67dts0vJFNcjJuzp3AqanDEO3Vem66rGy82UkRytHQSnIHetZ5fjsVaDqoXog351XKaux99G5ig6HhBD87ZFbMS2JCQ31BpprjofBqKo3GIR7qLq5U3ptlhESdvcJ0uYHAGkjIyVetfzs0Yp2yKeqWwf0+47ArGx9gsRIGQno9kMXcPdvj2DzXkYXQsFSsu9++Qg+/91DypMOItYoH5c6YYVDwfBAKXqsNpTXWljcAcDhyl68bl2E10J/yhwHvOOnByzG/mqs5HGRaUlRUofGguIqdBnDcHTEP6N4/C+YQuLBcfkKgxIelNJcSukUnX/vUUrrKaU2ytS53wHQ7TJPKX2NUjqTUjpzxIgReh9xDkLsfZV5/99NLW63vHT+E2zy6tGg80nN0zxnP/d32Scongt+C3Ma/uxRDYMQgnkT45Cfk4qnl02RfOj5Oam4bVK8wozWp28fAxocrXSfeWDyEkIQFRqI/JxUTc/3jKQoRXxIwTl121pQApBjr+LzxB+KwmwVEx6DuE/yeJV6Q1z60hHYbEpSxh2FFzE9RZ+CXbfF6ABhMBjw46xUTI4PAwCVZQiplS9/rjyluKC4kgWEs1ORn52KeZPidIPYAwWzVK1SujcPAssTHuQp2buKKpD3m0/x9J6zKCiqwLK632B67duyZ+gZbVovYYVDnbjClTmu5OVX5GKz9T5k8uc6CItRDjVnmiAICs407s4q+7odw8MDkZkSjY15Ztb4KyEca5vzUDT+51jDM8Y8NC5fwmsxD0JIIqWUVxzdDcDF7iwDwB3rmEWYeqt9M1z5CRMcHpTkeml5gDNfcSQargbjb2HLcHn8zzGHaxjAoMcl97fy//nmLPfDrs6dgKf3KG+9QAVkLf93pauDT95B3ise/1Ev9oyUaOlvRmjZJ2UYbcpLw+HKXlyyLkJ14mPIBOy574MUZpxqnLv09j46V6pfWPrSESxIYz3W1WOSg2cf8bF6YsPmDaF4waIccs60HYUXkZESjRJ550gCRSGopyAPAvMYBw/4yrOtnlqaDkEQ8MbRapTVWsQ5TxAUHsNiadIzHPxclysAPFbFn+ew0ADNc4kMsT9vjrTESGWquAcsDjlnWmSwCYfK6iWhy4t1I4JMMCdE4NjlZhQUVYKArU1O/2LpsSmTEIaIxcHhzYD5vxNCMsA81xUAtL00PYnb1yn99W52nXMG7rfU81EDbDEZDAYsSItXTNp9j92KLftjcSnQiCcWTmYHPbRJs1MRO5FfnqzYbF+ZFHC9+7dHUFLdBnNiBPY/dqtkRu8/U4cfZ6UoXDeeulf8N+SQ3yvOCbQ8Z7SMVC4XGUlReFdmnXjiPrFaACbky2otUv0CFyA8iwjQKgccM1OjkTUm1nkDIjeh9IXbIRdUG5eYHVJg5Oek6haCDhZrFkzE9kPnFQJMzgO2ZsFE7Ci8CKNBSxmyvnUpluekYpMHn6GeArDnkRwse7lIes055pgCYNXPFhujky02iDFxocqfFWDPKuTkmxnJUchIipZqjOSKSX5OqqZWbKjBawFzSul9lNKplNJbKKXLZFaI96CXDeIh8Crl5TmiOS+6gqRqatHkl2PL/nJsXGK2m6YeHpdcA3JEC80t+vJaC7bsK5cyxho7etHe5TlXjBzO7pU9971Ss1nLrRMAHrtPTyycjH2P3SoRJI5b/4GkJcqDrVEhAVKRI8cD2Sn4osaCiGCTxzR9dWZaWmIEHshm9QjqpAeXKTA8BD6Pdx2pwDN7S6Ug+q4jFWjr6oUgCA4tNADYoM7K8pCVxp9fWa0F4zd8KD2/9x7OhqXHJrmL9FLFnR0fKHh8SI6yWgvGrf9ASuvPTI5BQXGlfmyKQkugOMRwc6TqehksxjACmcnRkrbAYx2RIQEAIG3aGclRyEyOAQWVakEIiIJ2wpPjkmtAer2w//bIXDyzp1Sj+ajpVTw5Jmf3irdfpZRqNGpvbYiAve2rXFNU81q1dvai16bcZPafqUNjRy8yU6I9qrlGhQQiPjIIsWGBCobY/WfqEB5kkixCdygwPAE+p05VtaCgqFJ6Rrx+YkfhRacb8dKXjmCfGLPx9LhKa1oVx9bfNQmzn/s7mjv7pHTd01d0si4Bh8cHCkEQcKhMp6+KiMhg9gwFKuimrxcUe8969BWGPD2Jr7BmwUTFZss3xTULJkq+4vzsVGQkR2NXUQUICPKzU1FS1cr6nes0rvEE5AKEQ9OzWydTxZsms7N7JY1bJSj4BumQvXWQ0HMTcc2aB4F3F1ehXNT8ORo7eh3XOQwCq3MnYPGURMmVBrACz8aOXqSPipLuwePzx7vectiD4IFnDgKCXUUVsPRYER0aiFtGRSrev39OMoaHB+qm9Q4W2w9dwFPvncGXDdcUx8dv+FCqq+JFqN+aMFw3W+xbE4Z71OXIU5qHhQbofqawvAGCIHhVIbre8FsebqC/nO5T1a3ITI7WaIpq9lZPggfn5Ni8rwwbFk+G0WgUO7HVab5398tH8O4jc70mQPq7VwfOKr2YAhWYX/vrdo+PiVKKu18+gpIrbczXnJeGzXtZXKakuhXvPJSDp5amo6S6FSXVbfppul7QpDctTQOI1mrkgkpOfsmP5/3mUxZ8JY4bgHkCaoG1q6hCanQEAB+fV6bVE0KwZEoCTte0ezw21NbVizeOVgOAgiCR4/i6O/Bff/8KbV2sf05ZrQXLc0aDgqKkqhUlV9r0K+QHCHliwfq7JmH8hg8V7/P4zJb95ShxkE49PDwQ5bWWIWt1AH7h4RHwCX76ShtOX2lDfrY2TdUbkG8uw0IDcHzdHVj2chFjhj1Vg3EjQtHRY5OyO/JzUnHsUhPK6zpQcqUNz+wtVaTPegpyYj/1a24B1Lf3AIC0yLl7ZHmOPiPwYLD90AVcaWUd5EqqWrF5XxmOXm4SxwZs2VeOyJAAvPvwXIxZe0DzfZ6m6w0Xn9pvzoPTEUEmRRc9flwdE/E01BxRctciBZUq8U+L2V98rvO6p/zsVI9aRTyL8P2zdahv79EIDgDYeuAcCAgKiioxPIxRlPA5NTk+DBnJUR4VaIA9q1CtuAGshmjL/nJJcJkTIlBep1RIGjt6sfSWyCHttvILDw+AT3CAZcI4Y2/1FHjxW1mtBUEmA5o7+yT/L3+d0Csg1xyPqx29aOywZ+2YE8IRFGBEVEigx8e2/dAFHD7fgMwUWU+PPaUouWLv6REVEij50DUWmofdafw+NXb0YnJCOEqutElpr5MTwpGZwtyM+TmpeGaP0q0ljdHDabocen5zTqufn5MqFQpy1mTAbpl42hLi4Fr1A9kpGpcLT4TgtyAmNEAx14MDDF6LxSyekqgbpA8yGVBQVIkHslMwPDxQM8/L6zowLSnS424+eSKBOjV46UtHkGuOA4hduKqFB+A4u2+owC88PATuRlAHgSUXFvHs5qOXLsi1sh4rcwHlmuNh6bbi2No7MG69vY9ArjkeTyyc5BWL4+PzDTgt26AppbJq/GiJg4j3D5dvCO8+nOMV7V4vrRIAztV14Fxdh5RhVVBcqUh44Nr38pzRHtdc5X5zvukBzOViTgjHqapWfO+VYrzzcI5i3BFBJq8JDo7irxpxsaEDLWIgesPiyZj57EcoqW7Flv3l+OuqbOS9dERT3NjdJ3jNSrMJNs0x7sIaFhqAyOAA5N2SqFh/3OJ2VPg5GKhTiOVuRTmNSkZyNKJCAjTtffNzUr2ivPkSfuHhITiqgqWUemXzAewbo3pTBJjp/L1Xj6KkuhXHLivZhv/7RLUU6Pc0MlOiJZeGXDCYEyOwYclk7Ci8iLdPVGFYaICm5Wn2to9QvHa+V+7ThsWTde8TAExLisSpqlZkJEfjnYeyFYWWEUEmr9wrXn1sTghH1thYxabX1NGLBlGYzH7uI8X3Csvrpe553oAgCOjosaJFFohe+tIR6XVEkAlGoxH7Hp2rUEgAJwSKgwBfV28crUZ8RBDqLT3Se3m3JOBkZSvCg0x4YuEk3boZb9ZTMAWM9XjniiGr7WJux6yxsQ7nHAHxetKDt+HPtvIA1EWE+dl2eo6C4kpJ2/bG7zqibcj7zae4ZRTLOlEHgBs7erFln2czYgC7+05NTQIA+0Q/8D/Kme+6vK4DBUWVMCfYM2Pq2nukDChPQhAELH3piMP3/+fkFZy+0gZKBWzZVy75ssMDjbD0WL2Sj08pRdrISJTXdWBPSY3ivYaOXgSIK5NbJAC8ls0kh8FgwL7HbpUIPnlNTFpiBE6sny/5+vXupzfGJmUy5qRi8dRExXtf1Fiw99G5eHvlHClOY04IV3zm2KUmr90rAFizYJKi3YDBYMCGxZPxxMJJmixIqe5prnczC30Fv+XhAfC8fe7ykKfGllS3ISrU8+apvCAwRuz2FhNiQkuXFTGhASiv6wClFNOSIhU57g9kp8BAvOebBgAqaBcEr+g2J4Tj/jnJUvYM9wVzDdzTprzcPRQdbERidKjG/8yJG3ttFLuKKvBeSY2CBsNRW9/BgFdu7ympQdM1bRC4TwCMBLDJbuWSqQns2QXrp4d6ClyAyKlT9j12K3790Zdo6+xlVpOYpKGmuufV3p6EnGpdciuK7tAt+8tBQFD6dZvGNQQw19XmfWVeSQwBgB/sLIalu0+qbbFarVj2chHCg0xIH6VMlOExDr2+H0MRfuExAKg5pbhl8fj88VK1MqVUCqJ7q5iLk64ZCcHw8EDkTU3A0UtNqGruQrDJgOZrvRgZHar4noEYsDHPOwFXSime2VOK3Uf1e3oEmQyaxc2Ra47DmgWTvJISK/dNmyzdup/jqZOAPXakrkL3NAghSIoO0RUegFJwAMzVsTGPuYU4BY2nC08BZqkt+a//Uxxb/OtPEBxgQsmVNkwbFakIEt8yKhJWgaKs1qLla/IAGGcVq6MihEhpw/nZqSipbkNJdSseyE7BaRmzwcY8s2SN8EC/pyEIAizdfVK/mvAgE05faUOPVUBMaACOV7RgWGgAxseFIy0xUpFi7c00a1/BLzzcxPZD59HeZUVkiAnt3VZsWDwZ33ulGACj14gKCWSakhcXN8A2anMiI10DAHNCBApUlazdHQIaOpQLRyIj9JIfuORKKwBI1pAcPVYBMSEmXQHyx6NVsPTYEBUS6PF79sTCSXh8/njJ+tGD3D0kh7cXeUZKNE7XuFb9XFBcCdZRl0gNjzy9UQuCgNnPfYTGjl4MDwtA3rSROPpVI87VX0OgSGelHu/01BhsWDwZz75/3rvaNAE25pml2hiOjOQoGIgB35o4ApkpMdiYx9KaI4MDvFqNzy00eZAcYBZjyrAQAEwRsXT3gYIiIzl6yFsbcvhjHm7gxYPn8NaxKuwqqsChsnrsOlKBGVsLpfTPgqJKtHX14pm9pQp+KW+Axxd4ppBeKqAc05KipLRB3gvEG2PiVPEn1t2hqfQ1J4Rj6S0Jut9t7bJK988b98xoNGJBWrzue8NCHetQ3qx437yvDLuLqzB1ZES/n48Rx1hQVKnolOeNQL7JwM45IjKYacuiNWjTYSWZlhSFTXlpePb981Jygach50PjfHFycFaHwvJ6hAcZpRRaS48VG/PMXlPgALsAkcNGGR1KS2cfJseHYfaYYdhdXIWM5CjGGDCE4xxy+C0PF8EqtesVKZUA2/Tk4EHzjORoj2ee6GF6SoyU3dQfuNbmzRRBefGUWssvr+vAVQcaPgAkRAZ5zTfNCjm17qFJ8WE4X6+kveC+/Bgdym9PQV5Pcfyyc2EeE2JCS6dynnnTlVa8dr4iAYS782wUiA4xKeZ8j9UmuYe8YQnxMelxuHFQSiU3Gp9z3nQ3yiEIAvJ+86nD98/VX8O5+mt2ZoN9ZThV1YrbJsV5Vaj5An7LwwXwQrPyug7EhLgmb6clRWLLvnKJ7dNbcJUttMdqk0x5b09ag8GAyGAThocHKo4HmRh3U2yYfsDXG2m6gH5Ht/uykgBAIzhiZIKjpbMPw8MDvVbNvTp3AgiIZDXen5WsyD7jaOnSdkL0ZqaOvOhVDbWydE7MmuPUJd6ku1FbHDyrb3dxlUZR8aXg4NloX269E0Em/S2VUipR4py+0obD5xuGvAXiFx4ugE/ctMQI3YWsh+MVLV4lRFTTejvD5PhwaZFbur1Dw64e28fnr0pW2i2jIhETYkKP2J626VofonWE8Oa93tkQuZafkRyF6SkxiAg2wWQ04f45yZrP8jgN/3/J1ARFW19PjysqlGXp5Wen4pnvTMX8yY67aZoTI3Dpubskanlvu9TcAQ/kews8a85V+CIN1mAwoK2L1b+893A2lr1chB6rAAMAtQzZXVylqMbnba2HMvxuKxdhMBjw3sPZmLDxoEufLxcrh73luuLpwdOSItFno5qAnTxT51w9C1B7g/7DMewD+EInIMw12AeyU0AIkdqaeroSn2N17gSpD4W8E50cPNWZIz8n1WtuNI41CyZKNUCCIOD3DorKAGD2aLbheDPVU54CHhxgQHefgCCTQRL8jiBvHuVpqNsJ85RvNZtDWmKEVKTnLXejelwL0xOw60gFnvvgAsKDTNIcEsTbFRVsRFu3sjr+ZmgEBfiFh8sQBAFznv+HW98xEO+k6XLIN8SM5ChMS4rC8cstDoPnf101xycTlhCC2ybFoccq4JyD1FzAHgSODA7Auw/nSBlq3hK2chZbAIoaBbXgABiJoi/AU7u37C9Hd5/+Jh0bGoDdxVU4UdGCBWnxXo15sPap9poJZ4JjcnwYggNNXt2s5Sy2EUFGRStXABgeFgCASEWKG5eYAapsnesNOKK+4Wvx2OVm/fk/tL1VEvxuKxfANR9H+fiOEBse5FXTWcp/F7uW7S6uwtUORt8QbNIumrzffIrth857bTwcvBudM8EBAPGRwdhdXAVLD9u0N+WleTUeI1/saui5IznzsC9809ySzM9Oxf1ZWnda3i2Jktat7ljpaTyxcBL2/+yfdJkC5DCABYR5HMmbaahrFkzExiVmWGQs0RyN11gq7OT4cElgCIKAwxeuej3mqBeLeeehHABwOP8LiivxzB7fzCtvwi88XADXfMyJ/adUcgQHGFjrVy9SSQBsUT21NB0RwawQjscZusWq6djQANw/JxmxYazq/K1jVRAEz7bkVINzScU4aJTDca6uQ+JL4sWV3oSjvuEAEKxyUnOaC0f9GLwFgQo4oWPx7D5aJevZ7V2NGrB3XnQGAew+EUI82qbX2Zh47FGOICNB07U+nKvvQHtXH57ecxa7j1b5JDCtF4sZu+597C6u0iSGPJCdIiVElLiYIXkjw++2chFPLJwEgIIKAs7JMnQmjgjBhatdms//84xRMBqMPikKopTC0m3VLYBr6uyTqEAAICk6xCfj2bK/XFMkqIfmzj4pqcDbAde7f3sEJdVtki9/eFggGq/1IshI0K1yzez/2T9h874ynzGfqpseOUJZrcWjjY2cjceVoDkndfRWmq56THop4D2yAJ+6HUJGSrRXx8NjMZxCX04W2XStD9OSopApjoFTx2eNHTbkGXUBv+XhFtYsmISgAKW81RMcAPDG0Wp8VtnsdebM7Ycu4LuvFMFms2kCwAbV3MzPSfVq90AObqmpU3VNhAXz5ZgsavjeIB9UgyugPK5gEw/0qHlAwBpEeduNpsamvDSEBCiXZJDK/egN5lo11ESfABxakb5I0+Vg88qksTwA/UJPbyc8yLP4TlW2aMgijQZg7tgYPLU0HZvy0pCWGIHyWgueWpo+5Gs8AL/wcBlcyzgttjJ99LaxDj8bKO6QX7d1e91kbuvqRUl1G944Vq3psqbDT+gTP6u8AVN+Tipmj45BdIgJVqrla+IpxO1d3qvGB9hC/9sjcxVdHvUsI96/Y1dRhdddjhzbD12QtPxJqjoPTtrI4W1WXUBG9JkUJfFYtYhNxvTgq6ZGPJbGOccub1ssxWWaO3XiQD4Y1urcCZg2Kgqna9qlDL57Z40CwCryd/5fBV74oBxb9jGLqaPHih2F3o3D+Ap+4eEilBkfJvzpuGP3Qq+NIthkwI9mp3i1cY8zCnQ9FBRVYokPgubyexUVEoD0UVE4uX4+piVF6hYIZiRF+SR1kRCCp5bpF79xPLU0HZuWpmH5XO8GgDk49Qav28hIinb6eW8WLaqRkRKNdx+Zi1xzHNISI9BjFRAbFoD87BTF53wVF5LPK27pRAabEB1i1P28LwLThBA8/e0pUvuD5s4+vHmCUezzlPmXD1/GrqIKiVK/3Qe1Vr6AP+bhBtYsmAibzYalLx1h7V6NRNflAQAT48N9YpryDCJ1zrscw8MCMTI6GF/UtKO81oI5Y7zvM5fTlOw6UgFKKTJTYhT08BzTkr3T410NZwFzjs37ynzKesqfH6XU4TM0J0Qga8wwFBRXorGjF+1d3unWxyHnkuLjO3yhEQAQFxGMguIqSWEpqWpFSXWbdN+8fc/WLJioYLNu6+pDa5e2yyAHJ+r0JnYUXsSM1Fh8UaOMxai3hsaOXp+5+HwBv/BwE0ajEbnmeE2uuRrTU31TQeoosBlsIrAJFH0C0HitF43XWBaWLwsF5Rk78jx4NePu/jN1iAoJFJMSvANHfnz5ONISIyRB58sFzi1IR8KjvM6C8jqL1FPdm71Y+Hj0uKTyc1JxqKwew0IDpD7qgiBg1rMf4WBpnUNKE2+MT+9vOSbFhSIkMADzJsZ5PT7Ea61cgbcr8X0Jv9tqAFizYKJDhlaALbKCokqvUySoN8RbRkUiKpiZ8N1WJjjU4G1WfQW9PPgWsdHSpefuktKLC8vrvZpCLPnxk6MQHxGEtMQI3DcnBcPDAxFiMiDYZEBYoBH5Oak4VdmC775S7PUaAQ49BSAtMQIXtyxUHNuUl+Z1llgOvZqYjUvMiAph3F9LXzoCSqlkhUeFBHg9BVwOSil2FF5ESXWrxCzNMW1UJEICA/CtiSN8cq9c5ZcDWK2VL++TN+EXHm5i+6ELeOq9M3hTp+ERhzf7lssh3xAzkqIwI3UYTqy7w+l3vNF+1hm2HzqvaSwUZDKgrNaCsevel2oXFqTFezU+BDCh/85DOVg8NVHyPY+MCkaXVUC3VUBHrw1UEHC6ph0l1a1eD+IDynRPni03LDQAZbUWTN6kpMLZvK/MJ2Sb8nHJsfXAOex9dK5UrCh/fryTni+w/dAFPLO3FO1dfSipbkNVs5LcsqqlEyVX2mDp8X5sgRCC6NAgxKkyC9W4f06ydN98lYjhbfjdVm5AnYsfHWxEq4q3Znh4IHaLPmFfNLhfs2AiHp8/Hlv2lWNXUQX+duqK7ucemMOC997kj1JDEAS8dawKjR29MCeES41z1O4+X248BoNBQ1PCUV5rkejHzYkRPnExqDsdyjv0cZ85C1ATycJcnuPdmgq5QGOJAyapfw0A7HkkB+M3fCh93pfPTx6PuX9OMoaHB2oaebV0Wr3KK6fG4/PH41BZHRqctBt442g1HpiTgqwxsTdNQyi/5eEGuG86QwzwqgXHtKQoNHb0Ii0xAlFe9kvLYTAYsGHJZF1+Jo7jFS3YsGSyz7KIAGXtRnldB8at/0A3TuRrTYxt2PoZOhy5k+N8tiE+sXAScs3xCsHBMS0pEgUyRlZfxKzkWU0bFk+W0mPTEiMQaiKY/dzfFZ/3pSuGu9MykqPwxtFqhx0gR/mgGBZQFi7q1Z8ArAo/IzkK0WFB2LTUt7VD3oRfeLgJQgjefXiu7nuZKdFYnjMaueZ4rFngveCvHoxGI+7LdpyyW15nwdb957BxiW985vJaj8nx4Zr3OdULD1L7gkKbQxAEFJY3OP3MR+cafLYh8nulxxDQ06dUUHwVs1qzYCIig03YeuAcNixmSkdZrQUvH76M5k5GQ/7l1jslgedrX35GcrTT96f7iPJcLmj3PqrcFx67fRyWzx2N8roOTEuKYv1bbgKLg8MvPNyEXronLywrKKqEQIXrolmwDUibsvjl1jsV7Wd9mUG0KS8N+TmpEiW8HOWippZrjvOpNSTXFDl/lR7Kai0+iw9xLjA1QwAABRUO4DsrjRfk7TpSgaUvHdFYav8yaxSeff887pg0gvFtBQf4NOZR9OVVh+8Hm5h71lcKCSdt3HrgnOK4pceKDYsnIz8nFSXVbT5hUfAl/DEPNyDvSJeRHAVQoMcmoKCoEvk5qcjPTkXJFTZJfClA9PodcCx7uYhpRF5uP+t4cI7f4jxNPO3TF5BriusWTXTYn2V4eCAiQ3xTjEcpxdYD5zQMAXJceu4un/WpAOxZcscuNSnau3L894kaNItZc/Mnj8DP7zQ7OJNnIQgC/nScxdGCTUQiAJUjLMiIH85O9rlCsutIBcwJ4Qg0GXH6ShsKiipx7FITAo0GnK5pByG4qawPv+XhBuQbzzsP5SAzJUbSoPlELalu9Vr3QGfjkgddl88drXApbD3gO3eVHJRS7DtT6/B9ztPkK8HBsWbBRIQHGpG1Tb8/S0xoAP5lVpLPXI/y5+cIvE+FL600g8HgsLMhd12V1VrQ0Sv4bL4TQpAUHQIAuoIjJjRAap3gi4QVPib+/MrrOtBrs7vvyus6cFpshpaZPPS7B8rhtzzchLzCdWOeWcra4ZqZnDrBl3hi4SQQwlhOI4NNePb989j76FxsPXAOEUHMd+2L/uUcXBtr7OjF5IRwzBHZV+XgaYu+vl+CIOCjcw2MJUDskjdM7F0eZDKgpbNP2hB9pbnymAcvBORFZw9kp8BADJLF4Uthy+6TY/dQc2efz+c7IQTvPJyDWVsL0aRjqbV09sGc4NuEFYCtv9W5ExTWoRzLc0bfFN0D5fALjwGAEILthy6gvbsPG5eYFZPFF70WHGHNgkkKShCAbTb8tS9osznUXGCHLzTALLKKcgwPD7wu98tgMCDXHI8GS4+UrdPc2QdzQjgCDAQGo2+o9DnUnE07Ci+ydFxQRIUEMg2asI6LvkyJ5bEhLlj14Kt0WA2c/OSs0dFe6zvvDAaDAZHB+lvq51UtPh6N9zEo4UEIuQfA0wDMAGZTSk/K3lsL4CcAbAB+Rin9UPckQxByMrtjl5oU7xWW12N17gSfu2I41JQgXIhcD4uI81sxNmJmunNOpIIixtNk6fYuT5OzsfF6AQ7em8JXNTrq8fD7wP8G7PQbvn52aleoI+T95lOf13n019VTzTHlKwiCgIOldbrvnb7Shmf2lOKpZd6jiPc1BvvEzwL4LoBP5AcJIWkAfgggHcAiAL8lhDhPrB9C4MFE9cK6USpI9aglrhcZm8FgUNTGFBRVShv08pzRXudpcge8N4U3e0A4g5qzyRUOJ29CXn8ix7DQADx2+9jrNt9LqlkXvmmjIjXvmRMiMG/icJ/fL26pldd1IFjVk4X3QrkZugfKMSjhQSktp5Tq8Xt/G8DblNIeSullAF8CmD2Y37rRYDAYNPxW+x671acBTUfQo5bwZR2FGnq1MZz6/HqlNfOsOTWdva96UwwFyGMxy+eOxs/uGI+0xAg0izGhvY/O9fl8J4Rg3sQReGBOCvpUDWuGhweivO76UJ7LXY8r/0nZ6+ferBQszxmNeRNH3DCKkifgrZjHKABHZa+viMc0IISsBLASAFJSUvQ+ckOC58HLwTNirpfLCtBSS2zKS5NeA9fHAnEkzPrrke0t8IXOg9NycK3WD/3+GTwoHBkcAKPReF3m0+rcCdi8t0zBq8XpeVjm4/WJO8rbEMjR0WvDxrzruy94A/0KD0JIIYAEnbfWU0rfc/Q1nWO6qgCl9DUArwHAzJkzh4TadyNu0Bx6C55v0tfDIrpR7xXfgHYVycYlvvZVb4qhAHksBrDH1Pjr6+Xeiwxhc5wra5yvLCLI5HN2Bw55vceNNNe9hX6FB6U0dwDnvQIgWfY6CcDXAzjPDYkbbYNWQ73g+fiu20K/Ae+VfAOSxiVuQDfCM7yRoL4XN8K9uZHmOMeNOte9BeIJ3yAh5GMAv+DZVoSQdAB/AotzjATwEYAJlFLHLb/ALI+TJ086+8gNBXWW0PXIGhoquFHv1Y06Lj+GLq7HnCKEfEYpnenVH1FhUE44QsjdhJArALIB7CeEfAgAlNJSAH8GUAbgAwCP9Cc4hiJuRI3sRsWNeq9u1HH5MXTxTZlTgwqYU0rfBfCug/eeBfDsYM7vhx9++OHHjYmbK/zvhx9++OGHT+AXHn744YcffrgNv/Dwww8//PDDbXgk28pTIIRcBVDZ7wdvbAwH0Hi9B+EjfJOuFfhmXe836VqBoX+9qZRSff58L+GGEh43AwghJ32dMne98E26VuCbdb3fpGsFvnnX6wn43VZ++OGHH364Db/w8MMPP/zww234hYfn8dr1HoAP8U26VuCbdb3fpGsFvnnXO2j4Yx5++OGHH364Db/l4Ycffvjhh9vwCw8//PDDDz/chl94DBKEkF8QQighZLjs2FpCyJeEkPOEkDtlx2cQQs6I7/0XGUKMaYSQ/yCEnCOEfEEIeZcQEi1776a7XjkIIYvEa/uSEPLk9R6PJ0AISSaE/IMQUk4IKSWEPC4eH0YIOUQIuSj+HyP7ju5zHioghBgJIacIIfvE1zfttfoElFL/vwH+A+tZ8iFYYeNw8VgagNMAggCMAfAVAKP43nEwBmIC4H0Ad13va3DjWhcCMIl//wrAr27m65Vdt1G8prEAAsVrTbve4/LAdSUCmC7+HQHggvgs/x3Ak+LxJ115zkPlH4AnwFpF7BNf37TX6ot/fstjcNgO4N+g7JKo27+dEJIIIJJSWkzZDH0DwHd8PeCBglJ6kFLK++4eBWvwBdyk1yvDbABfUkovUUp7AbwNds1DGpTSWkrp5+LfFgDlYK2ivw1gt/ix3bA/M93n7NNBDwKEkCQASwD8Xnb4prxWX8EvPAYIQsgyADWU0tOqt0YBqJa95v3bR4l/q48PRawAsySAm/96HV3fTQNCyGgAmQCOAYinlNYCTMAAiBM/NtTvww4wRU+QHbtZr9UnGFQ/j5sdzvq3A1gH5srRfE3nGHVy/IaBK/3qCSHrAVgBvMW/pvP5IXG9LuJmuQ5dEELCAfwVwGpKabuTsNSQvQ+EkDwADZTSzwght7nyFZ1jQ+JafQm/8HAC6qB/OyFkKpgv9LS42JIAfE4ImQ3H/duvwO7qkR+/YeDoejkIIQ8AyAMwX3RFAUP4el2Eo+sb8iCEBIAJjrcope+Ih+sJIYmU0lrR9dggHh/K92EugGWEkMUAggFEEkLexM15rb7D9Q663Az/AFTAHjBPhzLYdgn2APIJAHNgDyAvvt5jd+MaF4G1FR6hOn5TXq/s+kziNY2BPWCefr3H5YHrImBxqB2q4/8BZRD53/t7zkPpH4DbYA+Y39TX6u1/fsvDw6CUlhJCeP92K5T92x8CUAAgBGwzfV/3JDcmXgJbTIdEa+sopXTVTXy9AABKqZUQ8ihYVp0RwOuU0tLrPCxPYC6A+wCcIYSUiMfWAXgewJ8JIT8BUAXgHqDfeT1U8U26Vo/DT0/ihx9++OGH2/BnW/nhhx9++OE2/MLDDz/88MMPt+EXHn744YcffrgNv/Dwww8//PDDbfiFhx9++OGHH27DLzz88MMPP/xwG37h4Ycffvjhh9v4/8WGNE+JeWbHAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"data1_t = []\n",
"data1_A = []\n",
"data1_B = []\n",
"\n",
"data1_C = []\n",
"\n",
"datapoints = 1024\n",
"rndsize = 3\n",
"\n",
"a1a = 10\n",
"a1b = 2\n",
"a1c = 5\n",
"omega1a = 0.05\n",
"omega1b = 0.05\n",
"omega1c = 0.05\n",
"phi1a = 0\n",
"phi1b = 0\n",
"phi1c = -30\n",
"c1a = 0\n",
"c1b = 0\n",
"c1c = 0\n",
"\n",
"for i in range(int(-datapoints/2), int(datapoints/2)):\n",
" data1_t.append(i)\n",
" data1_A.append(a1a * math.sin((i + phi1a) * omega1a) + c1a + random.random()*rndsize)\n",
" data1_B.append(a1b * math.sin((i + phi1b) * omega1b) + c1b + random.random()*rndsize)\n",
" data1_C.append(a1c * math.sin((i + phi1c) * omega1c) + c1c + random.random()*rndsize)\n",
" \n",
"## Now calculate R for every of those functions and plot functions ...\n",
"\n",
"r = bivariateCorrelation(data1_A, data1_B)\n",
"plt.scatter(data1_t, data1_A, marker = 'x')\n",
"plt.scatter(data1_t, data1_B, marker = 'x')\n",
"plt.title(\"Linear dependent, r = {}\".format(r))\n",
"plt.savefig(\"timeseriescorrelation_sampler_linsin1.svg\")\n",
"plt.show()\n",
"\n",
"r = bivariateCorrelation(data1_A, data1_C)\n",
"plt.scatter(data1_t, data1_A, marker = 'x')\n",
"plt.scatter(data1_t, data1_C, marker = 'x')\n",
"plt.title(\"With phase shift, linear dependent, r = {}\".format(r))\n",
"plt.savefig(\"timeseriescorrelation_sampler_linsin2.svg\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "21ed1a77",
"metadata": {},
"source": [
"As one can see the coefficient still is able to detect the linear dependence between both functions in case there is no phase shift (i.e. time delay). As soon as there is time delay in the second example one sees that the correlation coefficient does not work any more.\n",
"\n",
"To illustrate what linear dependence means here one might also look at a quick plot of the function values against each other:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "6b67a6c7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(data1_A, data1_B, marker = 'x')\n",
"plt.title(\"Without phase shift\")\n",
"plt.xlabel(\"function A\")\n",
"plt.ylabel(\"function B\")\n",
"plt.savefig(\"timeseriescorrelation_sampler_linsin1_ab.svg\")\n",
"plt.show()\n",
"\n",
"plt.title(\"With phase shift\")\n",
"plt.xlabel(\"function A\")\n",
"plt.ylabel(\"function C\")\n",
"plt.savefig(\"timeseriescorrelation_sampler_linsin2_ac.svg\")\n",
"plt.scatter(data1_A, data1_C, marker = 'x')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "a76e4e21",
"metadata": {},
"source": [
"### Applying shift\n",
"\n",
"To solve that problem one can simply shift the compared data over a given window range before one calculates the coefficient. To make life even more easy the window function will discard the elements where no corresponding data would be available after shifting inside the window"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "bcb742e3",
"metadata": {},
"outputs": [],
"source": [
"def shiftedData(dataA, dataB, distance):\n",
" resA = []\n",
" resB = []\n",
" for i in range(len(dataA) - int(abs(distance))):\n",
" if distance > 0:\n",
" resA.append(dataA[i+distance])\n",
" resB.append(dataB[i])\n",
" else:\n",
" resA.append(dataA[i])\n",
" resB.append(dataB[i-distance])\n",
"\n",
" return resA, resB\n",
"\n",
"def shiftedCorrelations(dataA, dataB, distance):\n",
" steps = 2 * distance + 1\n",
" stepstart = -1 * distance\n",
"\n",
" resDistances = []\n",
" res = []\n",
"\n",
" for i in range(steps):\n",
" shiftedDataA, shiftedDataB = shiftedData(dataA, dataB, stepstart + i)\n",
" res.append(bivariateCorrelation(shiftedDataA, shiftedDataB))\n",
" resDistances.append(stepstart + i)\n",
"\n",
" return resDistances, res\n",
" "
]
},
{
"cell_type": "markdown",
"id": "473b29bb",
"metadata": {},
"source": [
"Now one can look at the correlation coefficient for a given window size:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "6fa3223a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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5cmq/8YrLOVfeel0C06lTp5qHaJeHzAt9e3t7qnKIxCuVR57fymkTRvD7l3eweedejh4ygDfeDBJ/Hz1kAK/v3kc7sG33fgb1r2LvgXYG9ati78F2Rgzux449BwEYeVR/+leLtr0H2XOgnVFD+jN+5FG8c/wwnnmljfeddAxt+w4ybFB/rjh3Mu3t7UjqUOE5V0kkPWlmU0tdjkxeCbluWbh0Lbv2HuDq8+upqqrixgfXsKxlC0MH9mP/oXZOmzCCpzZs59Wde9m2ez8D+4l9B4/sXJs8Zgivte1n+1v5M+BHFVf92KFhi+oQA6qr+MDJo/n8h07ihvtWM2xQfy47ZxKAV0iuIngl1EO8EiqNeJeamXH9khYWNa2nYVwNH5oymh/+biNvvHWAAdVi/6HyOacG9qti38FghvJRQwZwyIztbx1g3rSJYPD0K7v4wMmjvUJyfV65VkJ+T8hlFQ8CWLh0TYcutfb2dkYNHUDzpjaaN7UB6Rf8chEvz7aw629QvyrufWZz6vGpxw3juv97lqdf2cX7J41K3V/ye0vOFZ5XQg5Ib+nctOx5Hl7zGu+aOJKhA6v51erXaN7UlupSW7VxJwCTjz2KbbsPT+ZaiApo5OB+bA/vBfWUvQfb2XswKPeoIQO49w+HK6R9Bw6x4819PPNqG++fNIq2fQepGdiPK87t1qSxzrlOeCXkgpbO3oMMG9SPnXsOYGasat3JqtadjDyqf+oeTOY9nTWvvVXQcmVWQMcM6c+b+w+x90DPVXZR5QNBwEPL5jZaNgctu30HDtKyeTcN42qQ4LJzDreQnHM9wyuhChV1ty1cupZlLVto3tRGw7gamje1MXLw4dOisyCArogCBkYN6U91VVWH6Lg33tzPuOGD0qLcfrtuG5t27GX2O8Zx9Zx6blr2PEtbtvDG7v0gmPX2sXkDILrSRZj5v7Zs3s3Io/rTvKmN0+tG8tW7n+P3G3dw9uRjueycSd5d51wP8MCEChK91zcte56H177GqeOHI4nFTRvSWjxddfRR/XnjrQOpC368sskVOn35zJOzjhOKyxxbFK2PQq7jMkPBTx0/nMfXb6dlUxsjBvejWuL18P8bMbgf1VXi9TeT/b+jhg5g9NCBqRbSRWdOoLq6mqEDq9m9/1Cqu84rJFfOyjUwwSuhCpC6z7P2NU4bPwLDuGPFy0DQxSUp7d5OUscM6Z+6kDeMq+H//nYaX79/LUMHVKdVNpFCtxwyB8XetGwtu/YGA16/9et1PLxmK3sPBuHaz7yyK/U/AIkrJDhc6Ua/owjB3fvbvUJyZcsroR7ilVDXLFy6hp17DoDB4hXBdCJTxg5la9u+RBfezBZSfAzOzIYx7NxzgKdbg6iy+MW3XC7Cma0tM+PmX61LtQSBVIUcDZDtiqj1F6+Qzqk/lrZ9hzpUws6VkldCPcQroc5lu9/TOK02rQWUT1TRRBVQ/bgaTp84gmde7ZiNIFs+t94gs2vytAkjqBnYLxUJeMyQ/hw3YnCqxZREFEhRP3YoLZt30zi9lmvnngL0vuPj+h6vhHqIV0K5ZXa7Ibp0v+fU44ZxoN1o3tRG/dihnFN/bKqLqS+PnckcE7XzrQNpFfaUsUPZtnt/l7osLzprAtVVft/IlY9yrYQ8Oq6PiHe7rdq4k1UbdzJl7FBGDR2Q9+I5asgARtcEN92ffmUX886ayJnHH0PNoNwXzb52EY3/P5fPnJyqzE+bMDxrZZ6k227JM5s73DcCo23fIR935FyMt4R6OTPrcrfbqKEDwA6PkZl31kQksap1ZyqFTV+raLoj3mW3a+8Bhg44PHA3MyIwn2ibqJuuYVwNMxvGcNk5J/txdkXjLSHXY6LWSar1A0EX2riaVPBBLiOP6s+23fvTcqeNGDLQc6dlER2LeDh5VZU484RjslZIubI7RJVUy+bdTBkzhOZNbZxx/NEsuKc51eJ0rlJ5JdTLRNmrawZWs6zltdT9m1PHD+fp1p05nxe1dhav2EDDuBpGHDXAMwB0weEKaXKHCqlmYD927Q2+DCxuyv8lYPWWN1NfABatWJ+WjcHfB1eJvDuul4jepwX3NKeyV8e/hWeTOciycVotkvzbdw/qzvsSmTJmSKpSqlJV3vtwzh0p745z3RbP7WYYjdNrU9+4c13oom63898xljOPP5pVrTsZftQAv9/Tw6JjOWxwf+bPqKNmYDVAovtGq7e8yanjh/HE+u2ptElR8IKPMXKVwiuhMpYZdJAtt1umedMmIrzbrdji942kjveN6scOZUC/6g5dpk+3BuOQRg7ul5oSo3lTG43Ta71F5CpCQbvjJJ0H3AxUA981s29krB8JfA84EdgLfMrMns23z0rpjouCDoRY1LSe+nE1tIQXqVyi7p3G6bUI73YrpWzBI4ubNiR6H6P3b9jg/t5ydT2mXLvjqgq1Y0nVwLeBWUAD8HFJDRmbfQVYZWbvBC4iqLAq3o0PrmFp8xYWN21Idb/lunAdfVSQ+6x+7FBWb3mThnE1DB/cn2vmNngFVELxQIZr557CsEH9aQgroMZptTROr835XGs3FjWtZ+ee/Sy4p5kbH1xTrGI7V3SF7I47A1hnZi8CSLoTuABojm3TAPwzgJmtllQnaYyZbSlgucpae3s7bfsOprrfOou2mvPOsVRXVVMzqB9nnXgwzG7glU85kcQV505GgjOOP7rT1u0dj73MvLM8gs5VhkJWQscBG2OPW4EzM7Z5GvhT4FFJZwC1wHggrRKSdDFwMcDEiRMLVd6SiwIQrj6/HoBFy9dn3S6eo+z7j22kcXptWlodV56i8O6FS9em7u/F7/PFxxjd8ViYMigcV3R63ci0cUV+v8j1FYWshLJ9QjJvQH0DuFnSKuAPwO+BDqP9zOx24HYI7gn1bDFLLzMAAYMrZ0/uUAmdOn4YBw5Z6uJ1Tv2xnHXiKIYN6u8XpF4i3io684RjGDaoH2ccfzSQfYyRR9C5vq6QlVArMCH2eDzwanwDM9sFzAdQcBV9Kfzp8+IpYXbuCdLnRBeZRU3rWdS0Pm37KWOG8HTrLuZN6zy3myt/UasIDo8xisZxZb73HkHn+rJCVkJPAJMkHQ+8AlwIfCK+gaQRwFtmth/4DPBIWDH1aQuXrk1luo5mNo2SjTZn3CNYd8OHueG+1SxuSg+5ji48fgHqveJjjKKIuPiA10xRd11UAWHBlxifatz1ZgWrhMzsoKRLgQcIQrS/Z2bPSbokXH8bUA98X9IhgoCFTxeqPOWivb2dnXv2pzJdz5s2MW/Y7td+uYZr5jQEmQ486KBPisYYxe8VNU6rTWXvzub3L+/g6dbg/InuFWWbzda5clfQwapmdh9wX8ay22J/rwAmFbIM5SQKPLhmThCpvrhpQ95s1w3jalL3ha4+v56qqoJF1LsS62oEXTTo9fGX3khl5vYuOtcb+VWtSKKxP4uWr+f6e1tSEXDZzJs2kfnT61L3iIYN6ucVUIWIxhXVDOqXGlcUBCOQNVNGy+bdwOEuOiFuWvY8hRyE7lxP8rQ9RZA59mfR8vVZw6/rx9ZwRt1I7ljxMo3Ta5k/vY6aQd4FV2m6GkEXsXZj8WMbaJxe69NEuF7DK6EC62zsz6njh7P/UDstm9po2dzGmccfzfzpdZ6yxXUpgg58kKvrnbwSKpCkY3/eNXEEV59fz/X3trBqo2e6duk6i6A7Zkh/Xn/zcCb1aJBr/dihaZPnDRvsAQuuPHklVAALl65l5579COUd+1M/diiLmzYgKRUB55WPyyaKoLtp2fPMn1EXdNHVHZ0zgq5l8+60SssDFly58rvdPczM2LXnQCr5aBRgELfuhg8zf0ZdKqopCjzwC4TLRxKXzzyZa+Y0pLrYFjdtoHFacP8w0+KmDakKyAMWXLnyllAPir6pRpVPtn57CMb+RPeIfOyP66quDnL1gAVXzrwS6iHx+X8WN21g3rTsiVZ97I/rKbkGuRqWNv4sCliIV1YS/uXHlQWvhI5QZgBC47Ra5k2b2GEQ6ryzJlJVVZW6CPjYH9cTsg1yjb4EZVZEQKqyOvOEY2hvb/dz0JVcQWdWLYRymlk1HoCQrztk3lkTueOxl33GU1dQUXdw/JzMZv6MulREpqf5qRwVN7NqX5ckACGiKjF/eh3DBw/wGU9dwUgKwvtjEXHZAhaumj2F6+9tYdHyYPbW3vZF1PUt3hLqhqTfODNDZK+de4pHwLmCS9pCj85PHxhdGbwl1EcsXLqWr97z3OFWUI5KPBoDFLWShg8e4B9yVxSXzzw5Lf9cdK+ycXpt2nbt7e0sagpaQwvuaebGB9eUqMSuknlgQhfEu+Aap9fSOK2WxSvSBwrOO2tiMH5jRTD/z/DB/T1tiiu6zPxzV59fz4IlzWnbfP+xjZ7mx5Wcd8d1QWY3RyYPQHDlqL29PXUPqHF6bdYMC/Vjh6ZlWfA0P32Pd8f1cu3t7ezaezgQIRsPQHDlqKqqimGDDg9szSYzzY8HLLhi8e64BOKZsM2swzfJeGbjxum1fpPXlZ3Lzpl0OBN3rLKJi87reJofP5ddoXlLqBPxyegy+9QhmIBu8QoPQHDlTVLWND9ZGWkBCwuXri1uYV1F8ZZQHpmT0WXrS5fk8/+4XiFpmp/FK4KkqJ6B2xVDpy0hSR9NsizHc8+TtEbSOklfyrJ+uKR7JD0t6TlJ85MVu/AWLl2TmoZ7/oyOA1Ff+Np5zJ9Rl7pH5BWQ6w2iqLmZDWOCVpHEHSte7pDrcPEKz8DtiiNJS+jLwE8SLEsjqRr4NjATaAWekHS3mcX7tP4OaDazuZJGA2sk/dDM9if+DwrgxgfXHJ6MDrhyVsfJ6G64b3UqE/awQf29AnK9SjRr603Lns8bsBCFb0cZuD1qzvW0nJWQpFnAbOA4Sd+KrRoGHEyw7zOAdWb2Yri/O4ELgHglZECNgiv4UOCNhPsumMwuuEXL13eogDwTtusLojQ/8YAFjLSxb9415wot39XzVWAlsBd4MvZzN/DhBPs+DtgYe9waLou7FagPX+sPwOfNrD1zR5IulrRS0sqtW7cmeOnu6awLLpqMLqqgPBO26+0yAxaiSifOu+ZcIeVsCZnZ08DTkn5kZgdybZdHtq9KmWfuh4FVwAeBE4Glkn5rZrsyynI7cDsEg1W7UZZOJemC88noXF8Unzrcu+ZcsSW5J3SGpOuA2nB7AWZmJ3TyvFZgQuzxeIIWT9x84BsWfK1aJ+klYArweIJy9RjvgnOVzrvmXKkkuZL+F3Aj8F7gdGBq+LszTwCTJB0vaQBwIUFXXtzLwIcAJI0BJgMvJit6z1i4dK13wTmHd8250kjSEtppZr/s6o7N7KCkS4EHgGrge2b2nKRLwvW3AdcDiyX9gaCF9UUz29bV1+quKCFpNHL8qtlTvAvOVTTvmnPF1mkCU0nfIKhEfgbsi5ab2VOFLVp2PZnAtLOEpNGAvmgmSm8BuUphZnm75qBjuiqfL6u8lWsC0yQtoTPD3/HCG0EwQa8VT0iaOVDvorMmUF1VnUpt4l1wrtJ0SPOzYn2HqUuiv+Ndc94acl3VaSVkZn9UjIIUS9TVsGvvgSAhabt1+IZXXVXN1XPqQd4F5ypX0q65qCdh/ow62tvb/Qub65JOK6EwYODrwNvMbJakBmCamf1XwUvXwzK736zd+N1Lb6Rt0zi9Nuiak0fBOZckam5R03rmTw+6rK+/t4Vhg/z+kEsuyRV2MUFwwdvCx2uBywpUnoKJz4oaZbxevGIDLZvbOmw7f3odwwb19wrIObJHzc07K70L+1D7Ia5fEkyct2vvAdrbO4w5dy6rJPeERpnZXZK+DKmot0MFLlePu2nZ86nKJ1sQwotfn5U2++Rl50wqfiGdK1Oddc19/7EgOUoUxHP9vS3UDPSZhV3nknzVf1PSMYTZDiSdBewsaKl6WJJZUeNjhXxOIOc6irrm4veAXvjaeWnbXDlrcurL3LKWLSxcuqZEpXW9RZKW0BUEg0xPlLQcGA38eUFL1YMWLl17OAghy6yo886aSFVVlWdDcC6BqGsu3uKJO+mqB4DDwxvOPOEYD1ZweSWJjntK0gcIshkIWNPNXHJFZ2bs2nuARcvXZx3VPW/aRO5Y8TKN02v9PpBzCV0+82Ta29tTLZ75M+q4ctbkVAUEpI2v82AFl0++qRw+aGa/lvSnGatOloSZ/azAZTtikrhmTgNAh0wI0XqfFdW5rquqqmLYoNwtIggykMTvs3qeOZdNzowJkr5qZtdKWpRltZnZpwpbtOy6kzGhvb2dE75yOPNQZhCCj/R2rnviLaKoCy5TFMjgqX1Kq9dlTDCza8PfZTPldneYWYdvaVEQAvisqM4diaqqKmoG9ktVQI3Tg4SnmfdefTCryyXJYNWvA980sx3h45HAF8zsqgKX7YiZGQuWNKf6raNuAw9CcK7nXHHuZCQ484RjuPr8ehYsaU5bv7hpQ9pgVg/ddnFJouNmmdlXogdmtl3SbKDsKyFJqX7ra+Y0pN0j8iAE53rO5TMnp7rmonyMd6x4ObU+NZg1zMco4emwHJCsEqqWNNDM9gFIGgwMLGyxek40yC7qcosqIu+Cc65nRcEK+Qazeui2y5TkDPhv4FeSPi3pU8BS4I7CFqtnZVY4XgE5VxidDWbNDN1euHRtiUrqykWnlZCZfRP4GlAPnAJcHy5zzrk0mYNZb7hvdYdt4qHbO/fs95lZK1ynk9qVm56c1M45Vxgeul1+yjVEO2dLSNKj4e82SbtiP22SdhWviM653iZb6HYUvh23qMmzble6fIEJFwGYWU2RyuKc60M8dNslke+e0E8AJP2qSGVxzvUxl8+cnKpkotDtuPg8RJ51uzLlawlVSbqWIFfcFZkrzezGznYu6TzgZqAa+K6ZfSNj/T8Cn4yVpR4YbWbp050653qtroZue465ypKvJXQhsJegcqjJ8pOXpGrg28AsoAH4eDg1eIqZ/auZnWZmpwFfBh72Csi5vidp6HY0mNxVjnwtofPM7F/CgaoLurHvM4B1ZvYigKQ7gQuA5hzbfxz4cTdexzlX5jqbhwhI5XNcsKTZp36oIPlaQlHi0j/u5r6PAzbGHreGyzqQdBRwHvDTHOsvlrRS0sqtW7d2szjOuVK6fObJafkb68cOTVt//rd+y1fvec7HD1WYfJVQi6T1wGRJz8R+/iDpmQT7ztapm+usmgssz9UVZ2a3m9lUM5s6evToBC/tnCtH8dDtls27aZxey6njhwPQsnk3i5s20DgtuHd007LnS1xaVwz5pnL4uKSxwAPAR7qx71ZgQuzxeODVHNteiHfFOVcRMkO3r1/SwtOtO1PrJfnUDxUkbwJTM9sMnBomLZ1oZl2Jn3wCmCTpeOAVgormE5kbSRoOfAD4yy7s2znXi10+c3Kqu80yOkgWNa1PGz/k94f6tk6/YkiaC6wC7g8fnybp7s6eZ2YHgUsJWlItwF1m9pykSyRdEtv0T4AHzezNbpTfOdeLLVjSnHX8ULu1p8YP+f2hvq3T3HGSngQ+CDxkZu8Klz1jZu8sQvk68NxxzvUdC5euZeee/anw7UyeX67n9LrccTEHzWxn55s551zXxMcPeX65ypSkEnpW0icIJrebJOkWoKnA5XLOVYD4+KFsA1Uz88vd+KCn9elrklRCnyOYR2gfQQTbLuCyApbJOVdB4uOHPL9c5el0em8zewu4UtI3goe2u/DFcs5VEs8vV7mSRMe9Q9LvgWeB5yQ9KenthS+ac66SeH65ypSkO+47wBVmVmtmtcAXgNsLWyznXKVJMjV4PL/cwqVri11EVwCddscBQ8zsN9EDM3tI0pAClsk5V6Eun3ly2tTg9WOH0rL58B2A87/1W8484Zggvc/0Wu+W6wOStIRelHS1pLrw5yrgpUIXzDlXmTy/XGVJUgl9ChgN/Cz8GcXhDNvOOdfjrjh3MjMbxqTuAb174si09VF+OR8/1PsliY7bDvx9EcrinHMpnl+uMiSJjlsqaUTs8UhJDxS0VM45F0qSX27X3gOeX66XShKYMMrMdkQPzGy7pGMLVyTnnAtIyjl+6I4VLwOkouk8QKF3SnJPqF1S6iuIpFpyT07nnHM9KnP80N9/8KS09VfNnsL197Z4yHYvlaQSuhJ4VNIPJP0AeAT4cmGL5Zxzgfj4oatmT2FZy5a09XNvXZ7qkvMghd4nSWDC/ZLeDZxFMGX35Wa2reAlc865UHz8UPOmtlQKHyD1OGoR1QzsxxXnTi5xiV1SiebNNbNtZrbEzO7xCsg5VwpRfrn5M+q459IZaes+OHk0N9y32pOc9kJJAhOcc64sxFtEcbc+9CLgSU57o0QtIeecKwdmlkrp40lO+4ZELSFJ1cCY+PZm9nKhCuWcc9lEIdtRWHZmiwjSk5z6INby12klJOlzwLXAFiAKPTHgnQUsl3POZdVZktPZNz/CWSeOCmZlnVFHe3s7VVXe6VOukrSEPg9MNrPXu7pzSecBNwPVwHfN7BtZtjkbuAnoD2wzsw909XWcc5UlnuS0eVMbjdNrgWA68NVb3mT1ljc9rU8vkaQS2gjs7OqOwy68bwMzgVbgCUl3m1lzbJsRwL8D55nZy56JwTmX1BXnTkaCM084hmvmNGBmLG7akFp/9Zz6VGvJp30oX0kqoReBhyTdC+yLFprZjZ087wxgnZm9CCDpTuACoDm2zSeAn0X3l8zstS6U3TlX4eJJTjPvD53wlV8CpFL+3LTseW8NlaEkHaUvA0uBAUBN7KczxxG0oiKt4bK4k4GRkh4Kpw2/KNuOJF0saaWklVu3bk3w0s65SrJgSXOqxRN1zcX5tA/lK0nGhK8CSKoJHtruTp4Sydbuzcw51w94D/AhYDCwQtJjZpaWBMrMbiecUnzq1Kmet845l5IZMbdgSXPa+sVNG/z+UBlLMpXD2yX9HngWeC5ssZySYN+twITY4/HAq1m2ud/M3gwzMTwCnJqs6M45F7h85smpSsanfehdktwTuh24wsx+A6lotv8EpnfyvCeASZKOB14BLiS4BxT3f8CtkvoRdPedCSxMWnjnnItEaX182ofeJck9oSFRBQRgZg8BQzp7kpkdBC4FHgBagLvM7DlJl0i6JNymBbgfeAZ4nCCM+9ku/xfOOYdP+9AbJYqOk3Q18IPw8V8CLyXZuZndB9yXsey2jMf/Cvxrkv0551w+mdM+zL11edr6ubcuT6X28ZDt8pCkEvoU8FXgZwTBBo8A8wtZKOec664k0z5EqX1c6XXaHWdm283s783s3Wb2LjP7vJltL0bhnHOuO+LTPiz53HvT1p1TPwZJLFjS7N1yZSBnS0jSTWZ2maR7yDKdt5l9pKAlc865IxC1iDJDtnftPcCCe5pZ1OSZFMpBvu646B7Q/ytGQZxzridF0z4sbtpA4/RaVr28g1WtO1OpfRqneSaFcpCzO87Mngz/PM3MHo7/AKcVpXTOOddN8UGs18xp4F0TR3ZY75kUSi9JiPa8LMsae7gczjnX4y6feTLXzGlAEpZxV2FR0/q0TAp+f6g0clZCkj4e3g86XtLdsZ/fAF2e1sE550plwZLmTjMp7Nyz3zMplEC+e0JNwCZgFPBvseVtBINLnXOu7EXdcvkyKXim7dLJd09og5k9ZGbTMu4JPRVmQ3DOuV4hnknBM22XlyQJTM+S9ISk3ZL2SzokaVcxCueccz0hnknhmjkNHdZnZtr2+0PFkyQw4Vbg48DzBNMtfAa4pZCFcs65nuaZtstTkrQ9mNk6SdVmdghYJKmpwOVyzrke55m2y0+SltBbkgYAqyR9U9LlJMii7Zxz5cgzbZeXJJXQXwHVBNMyvEkwUd2fFbJQzjlXKJmZtpe1bElbP/fW5d4lV0RJpvfeEP65hyCbtnPO9Wqeabt85Etg+geyJC6NmNk7C1Ii55wrgnim7avPr+eEr/wytS6eaXvYoP4+dqiA8rWE5hStFM45VwJJMm37BHiFlbMSinXDIakWmGRmyyQNzvc855zrLTIzbUcBC1Gm7WjskFdAhZNksOpngf8FvhMuGg/8ooBlcs65oohn2r527ikMG5z+/frqOT54tdCSRMf9HTAD2AVgZs8DxybZuaTzJK2RtE7Sl7KsP1vSTkmrwp9rulJ455w7UlGmbTNjaXN6pNycWx5NRcp5Op/CSNKtts/M9kfNUUn9yBOwEJFUDXwbmAm0Ak9IutvMmjM2/a2Z+f0n51xJ5YuUi8YOeZBCz0vSEnpY0leAwZJmAj8B7knwvDOAdWb2opntB+4ELuh+UZ1zrjDi3XL3XDojbd2HphzLDfet9rFDBZKkJfRFgnxxfwD+GrgP+G6C5x0HbIw9bgXOzLLdNElPA68C/2BmzyXYt3PO9aj42KG4W37zAuDpfAolbyUkqQp4xszeDvxnF/ed7Z3K/ArxFFBrZrslzSYIeJiUpRwXAxcDTJw4MXO1c84dsShSbtHyICy7ZmA/vvXrdan13iVXGHm748ysHXhaUneu/K0EKX4i4wlaO/H97zKz3eHf9wH9JY3KUo7bzWyqmU0dPXp0N4rinHP5xbvkOkvn40EKPSdJd9w44DlJjxPkjgPAzD7SyfOeACZJOh54BbgQ+ER8A0ljgS1mZpLOIKgUfepw51xJJEnn4y2inpWkEupWvjgzOyjpUuABggSo3zOz5yRdEq6/Dfhz4G8kHSTITXeh+V0/51wJxdP5XDV7CideeX9qXTxIoXF6rWdS6AHKd83PuCdUFqZOnWorV64sdTGcc31c1CJatHx9h3VRdoVhg3tPa0jSk2Y2tdTlyFTIe0LOOdcrxYMUGqfX0ji9tsM2i5o8ZLsnJBknFN0T+pWku6OfQhfMOedKJR6kcM2chg7rFzdtYP70YJ13xx2Zgt0Tcs653iwepBAlOI0SmwJYOOLE7wsdmU5bQmb2MLAaqAl/WsJlzjnXp0VBCtE9oLhVG3diZixY0syND64pUQl7vyRZtD8GPA58FPgY8DtJf17ogjnnXDm47JxJqSkeGsbVAHD0Uf1ZtXFHKsHpspYtLFzqFVF3JLkndCVwupnNM7OLCHLCXV3YYjnnXHmQgii4KK9cw7ga3njrAEDaWKJdew96kEI3JLknVGVmr8Uev06yyss55/qEy2eenLr3s+Rz702bCrx5U1vOAAbXuSSV0P2SHgB+HD7+C+CXebZ3zrk+R1IqdDvT1efXA7BgSbNnUuiiJIEJ/0gwq+o7gVOB283snwpdMOecKydREMKi5eupHzs0bd353/otX73nOZ/uoRtytoQknQSMMbPlZvYz4Gfh8vdLOtHMXihWIZ1zrtQkUTOwX+oeUDSAdXHTBlo276Zl827mT/fpHroqX0voJqAty/K3wnXOOVdRrjh3MjMbxjB/Rh3Xzj2F4YP7p62/ek4919/bwsKla0tUwt4n3z2hOjN7JnOhma2UVFe4IjnnXPm6fOZkzAwzY2lz+nQPc255NBWo0N7eTlWVx3B1Jt8RGpRn3eCeLohzzvUm8ekeIpnTPXiLqHP5KqEnJH02c6GkTwNPFq5IzjlX3uK55e65dEbauvh0Dx6k0Ll83XGXAT+X9EkOVzpTgQHAnxS4XM45V9biueXibvlNELM1f4YHKSSRsxIysy3AdEl/BETzCd1rZr8uSsmcc66Mxad7mD+jjpqB/fjWr9el1vsMrMl0OljVzH4D/KYIZXHOuV4j3iV31ewpzL11edr6ubcuTwUpeKbt3JJkTHDOOZdFvEsunkcODgcpRNkUXHYeP+icc0cgmu5h/ow6lnzuvWnrzqkfgyQWLGn2SLkcvCXknHNHKGoRLVjSnLZ85579LLinmUVN633sUA4FPRqSzpO0RtI6SV/Ks93pkg75PEXOud4oClKIZmCdP70OgDtWvBxUQGE6Hx871FHBKiFJ1cC3gVlAA/BxSR1ynYfb/QvwQKHK4pxzhRQPUrh27ilcPSf9PlCUzsfHDnVUyO64M4B1ZvYigKQ7gQuA5oztPgf8FDi9gGVxzrmCiuYcAjqMHYrmH/KxQx0VsjvuOGBj7HFruCxF0nEEA19vy7cjSRdLWilp5datW3u8oM4511Oi6R7mz6jj7z94Uto6T+fTUSEroWxVfWYb9Cbgi2Z2KN+OzOx2M5tqZlNHjx7dU+VzzrkelTl2aFlLeoLTubcu9y65DIXsjmsFJsQejwdezdhmKnBn2DQdBcyWdNDMflHAcjnnXMH42KGuKWRL6AlgkqTjJQ0ALgTujm9gZsebWZ2Z1QH/C/ytV0DOud7Oxw4lV7CWkJkdlHQpQdRbNfA9M3tO0iXh+rz3gZxzrjfLNXZo194DqbFDjdNrKz6lj3pbv+TUqVNt5cqVpS6Gc87lZWapIIXG6bWsenkHq1p3ptY3TqsN7iENLk6CU0lPmtnUgr9QF/nQXeecK4B4kMI1cxp418SRHdYvavIgBU/b45xzBRIfO2QZwcFRJoVr5jRUdHect4Scc67AFixpTqX0iYsqpkpuCXkl5JxzBRR1yzVOr0UZwydXbdyZundUqZFyXgk551yBXXbOJERwD6hhXA0A9WOHsmrjDubc8iiLlq9n5579Fdki8krIOecKLIqCi8YNnTZhOC2bdwPBANaolXTTsudLXNLi80rIOeeK4PKZJ6eCEN41ISNSjsqNlPNKyDnniiSKgssXKVdpvBJyzrkiiYIQckXKVWKQgldCzjlXJPFIucw5BX7/8g6uX1J5E995JeScc0UURcotXpE+FfjTrTvTpgKvlAGsXgk551wRxSPlrp17CsMGpyeuiaYCr5QuOU/b45xzRRal8zEzljanT3w355ZHad7UxvwZdRWRYdtbQs45VyLxie8ilTbxnVdCzjlXAvEs25U88Z13xznnXIkkmfiur3fLeSXknHMlYmZcf29LatxQlDlhcdMGgIqIlPPuOOecK5F4l1ylRsp5S8g550qo0iPlvCXknHNloFIj5QpaCUk6T9IaSeskfSnL+gskPSNplaSVkt6bbT/OOdeXVXKkXMG64yRVA98GZgKtwBOS7jazeBjIr4C7zcwkvRO4C5hSqDI551y5qtRIuULeEzoDWGdmLwJIuhO4AEgdYTPbHdt+CB1S+jnnXGWo1Ei5QnbHHQdsjD1uDZelkfQnklYD9wKfyrYjSReH3XUrt27dWpDCOudcKVVqpFwhW0LZqusOLR0z+znwc0nvB64Hzsmyze3A7QBTp0711pJzrk+qxEi5QraEWoEJscfjgVdzbWxmjwAnShpVwDI551zZq6RIuUJWQk8AkyQdL2kAcCFwd3wDSScprM4lvRsYALxewDI551xZq7RIuYJ1x5nZQUmXAg8A1cD3zOw5SZeE628D/gy4SNIBYA/wF1Yp0wk651wOlRQpp952zZ86daqtXLmy1MVwzrmCMTMWLGlm0fL1aZFykfnT67hmbkOXKiBJT5rZ1AIU94h42h7nnCsz8S65a+Y0AKRVQl2tgMqZp+1xzrkydPnMk1MVUGa33IIlzfS2XqxcvBJyzrkyFnXLzZ9Rx0v/PJv5M+pYtHx9n6mIvDvOOefKVGa3nKRU62jYoP59okvOAxOcc67MZUbBdScqrlwDE7w7zjnnylxmhdMXWkARr4Scc86VjFdCzjnnSsYrIeeccyXjlZBzzrmS6XXRcZK2Ahu6+fRRwLYeLE5PKddyQfmWzcvVNV6urumL5ao1s9E9WZie0OsqoSMhaWU5hiiWa7mgfMvm5eoaL1fXeLmKx7vjnHPOlYxXQs4550qm0iqh20tdgBzKtVxQvmXzcnWNl6trvFxFUlH3hJxzzpWXSmsJOeecKyNeCTnnnCuZPlsJSfqopOcktUuamrHuy5LWSVoj6cOx5e+R9Idw3bdU4CyBkv5H0qrwZ72kVeHyOkl7YutuK2Q5spTrOkmvxF5/dmxd1mNXpHL9q6TVkp6R9HNJI8LlJT1eYRnOC4/JOklfKvbrx8oxQdJvJLWE5//nw+U539Milm19+PlaJWlluOxoSUslPR/+HlnkMk2OHZNVknZJuqwUx0vS9yS9JunZ2LKcx6eUn8UeZWZ98geoByYDDwFTY8sbgKeBgcDxwAtAdbjucWAaIOCXwKwilvffgGvCv+uAZ0t47K4D/iHL8pzHrkjlOhfoF/79L8C/lMnxqg6PxQnAgPAYNZSoLOOAd4d/1wBrw/ct63ta5LKtB0ZlLPsm8KXw7y9F72kJ38fNQG0pjhfwfuDd8XM51/Ep9WexJ3/6bEvIzFrMbE2WVRcAd5rZPjN7CVgHnCFpHDDMzFZY8C5/H/jjYpQ1bHF9DPhxMV7vCGQ9dsV6cTN70MwOhg8fA8YX67U7cQawzsxeNLP9wJ0Ex6rozGyTmT0V/t0GtADHlaIsCV0A3BH+fQdF+szl8CHgBTPrbkaWI2JmjwBvZCzOdXxK+lnsSX22EsrjOGBj7HFruOy48O/M5cXwPmCLmT0fW3a8pN9LeljS+4pUjrhLw26v78W6AHIdu1L4FEFrNVLK41VOxyVFUh3wLuB34aJs72kxGfCgpCclXRwuG2NmmyCoQIFjS1CuyIWkfxEs9fGC3MenLM+57ujVlZCkZZKezfKT71totvs8lmd5Mcr4cdJP/k3ARDN7F3AF8CNJw460LF0o138AJwKnhWX5t+hpWXbVozH+SY6XpCuBg8APw0UFP16dFTvLspKOfZA0FPgpcJmZ7SL3e1pMM8zs3cAs4O8kvb8EZchK0gDgI8BPwkXlcLzyKbtzrrv6lboAR8LMzunG01qBCbHH44FXw+Xjsyw/Ip2VUVI/4E+B98Sesw/YF/79pKQXgJOBHpvXPOmxk/SfwJLwYa5j12MSHK95wBzgQ2G3aVGOVycKfly6QlJ/ggroh2b2MwAz2xJbH39Pi8bMXg1/vybp5wTdR1skjTOzTWGX+GvFLldoFvBUdJzK4XiFch2fsjrnjkSvbgl1093AhZIGSjoemAQ8HjZ12ySdFd6juQj4vyKU5xxgtZmlugIljZZUHf59QljGF4tQluj1x8Ue/gkQRetkPXZFLNd5wBeBj5jZW7HlJT1ewBPAJEnHh9+oLyQ4VkUXnrv/BbSY2Y2x5bne02KVa4ikmuhvgiCTZwmO07xws3kU5zOXTVpvRKmPV0yu41PSz2KPKnVkRKF+CE6cVoJvyFuAB2LrriSIJllDLAIOmEpwsr0A3EqYUaLA5VwMXJKx7M+A5wiiX54C5hb52P0A+APwDMHJPq6zY1ekcq0j6AdfFf7cVg7HKyzDbIJItBeAK4v9+rFyvJegW+aZ2HGane89LVK5Tgjfn6fD9+rKcPkxwK+A58PfR5fgmB0FvA4Mjy0r+vEiqAQ3AQfCa9en8x2fUn4We/LH0/Y455wrmUrsjnPOOVcmvBJyzjlXMl4JOeecKxmvhJxzzpWMV0LOOedKxish57pA0u5Sl8G5vsQrIeeccyXjlZBzR0jSXEm/CxOoLpM0Jlw+OpwD5ilJ35G0QdKoUpfXuXLilZBzR+5R4CwLEqjeCfxTuPxa4NcWJO38OTCxROVzrmz16gSmzpWJ8cD/hPnGBgAvhcvfS5A+CjO7X9L2EpXPubLlLSHnjtwtwK1m9g7gr4FB4fKCTg/vXF/glZBzR2448Er497zY8kcJZsxF0rlAqSZGc65seQJT57pAUjvp87bcSJDJeCFBRfQYcLqZnS3pWILMyCOBh4G/AI63YP4j5xxeCTlXMJIGAofM7KCkacB/mNlpJS6Wc2XFAxOcK5yJwF2SqoD9wGdLXB7nyo63hJxzzpWMByY455wrGa+EnHPOlYxXQs4550rGKyHnnHMl45WQc865kvn/gyGGGfPgl88AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"data1_t = []\n",
"data1_A = []\n",
"data1_B = []\n",
"\n",
"data1_C = []\n",
"\n",
"datapoints = 1024\n",
"rndsize = 3\n",
"\n",
"a1a = 10\n",
"a1b = 2\n",
"a1c = 5\n",
"omega1a = 0.01\n",
"omega1b = 0.01\n",
"omega1c = 0.01\n",
"phi1a = 0\n",
"phi1b = 0\n",
"phi1c = -30\n",
"c1a = 0\n",
"c1b = 0\n",
"c1c = 0\n",
"\n",
"wndsize = 100\n",
"\n",
"for i in range(int(-datapoints/2), int(datapoints/2)):\n",
" data1_t.append(i)\n",
" data1_A.append(a1a * math.sin((i + phi1a) * omega1a) + c1a + random.random()*rndsize)\n",
" data1_B.append(a1b * math.sin((i + phi1b) * omega1b) + c1b + random.random()*rndsize)\n",
" data1_C.append(a1c * math.sin((i + phi1c) * omega1c) + c1c + random.random()*rndsize)\n",
" \n",
"## Now calculate R for every of those functions and plot functions ...\n",
"\n",
"rx, rv = shiftedCorrelations(data1_A, data1_B, wndsize)\n",
"plt.scatter(rx, rv, marker = 'x')\n",
"plt.title(\"Shifted correlation coefficients, linear dependent\")\n",
"plt.xlabel(\"Lag\")\n",
"plt.ylabel(\"Correlation coefficient\")\n",
"plt.savefig(\"timeseriescorrelation_shifted1.svg\")\n",
"plt.show()\n",
"\n",
"rx, rv = shiftedCorrelations(data1_A, data1_C, wndsize)\n",
"plt.scatter(rx, rv, marker = 'x')\n",
"plt.title(\"Shifted correlation coefficients, linear dependent, with phase shift\")\n",
"plt.xlabel(\"Lag\")\n",
"plt.ylabel(\"Correlation coefficient\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "dfd6c5be",
"metadata": {},
"source": [
"As expected one can see that the non delayed linear relation peaks at the maximum value of $1$ at a lag of $0$. The phase shift of $-30$ also moves the peak of the correlation coefficients to a lag of $-30$ and is able to detect the potential linear dependence there."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "99299c95",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.13"
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