{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Measures of shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `esda.shape` module provides statistics that are used in the literature to measure the structure and regularity of polygons. These measures vary from very simple (such as the length-width difference) to very complex (such as the normalized moment of inertia). Regardless, we'll walk through computing a few of these measures for counties in Virginia. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:42.688355Z", "iopub.status.busy": "2025-06-29T18:42:42.688158Z", "iopub.status.idle": "2025-06-29T18:42:44.127465Z", "shell.execute_reply": "2025-06-29T18:42:44.127197Z", "shell.execute_reply.started": "2025-06-29T18:42:42.688329Z" } }, "outputs": [], "source": [ "import pandas as pd\n", "import geopandas as gpd\n", "import shapely\n", "import libpysal\n", "import matplotlib.pyplot as plt\n", "\n", "from esda import shape" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.127995Z", "iopub.status.busy": "2025-06-29T18:42:44.127837Z", "iopub.status.idle": "2025-06-29T18:42:44.212725Z", "shell.execute_reply": "2025-06-29T18:42:44.212502Z", "shell.execute_reply.started": "2025-06-29T18:42:44.127987Z" } }, "outputs": [], "source": [ "counties = gpd.read_file(libpysal.examples.get_path(\"virginia.shp\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Why Virginia? The Virginia counties include a mix of regular and irregular shapes due to the mountainous counties in the West. Two counties are multipolygons, which impacts some shape measures. Finally, many of the counties have holes, because they surround \"independent cities\", which are county equivalents in Virginia. You can see this in the map below." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.213855Z", "iopub.status.busy": "2025-06-29T18:42:44.213755Z", "iopub.status.idle": "2025-06-29T18:42:44.277986Z", "shell.execute_reply": "2025-06-29T18:42:44.277748Z", "shell.execute_reply.started": "2025-06-29T18:42:44.213848Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Virginia Counties')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot()\n", "plt.title(\"Virginia Counties\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We did not check the coordinate reference system (CRS) of the geodataframe, but we can see from the axes on the plot that the coordinates are in lat-long. **We should not use lat-long coordinate systems to calculate shape measures.** If you are familiar with Virginia, the above plot may \"look right\". This is because Geopandas automatically adjust the aspect ratio of lat-long plots to approximate a conformal projection. We can turn this feature off to see what the unprojected coordinates look like." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Virginia Counties')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = counties.plot()\n", "ax.set_aspect(\"auto\")\n", "plt.title(\"Virginia Counties\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can see that calculating Euclidian distances and areas on unprojected lat-long coordinates will lead to incorrect results. The distorted distances and areas will impact many shape measures. We will see how by introducing a simple shape measure, the difference between the length and width of the shape. The length-width difference is a measure of *elongation*. As you might guess by comparing the previous two plots, the length-width difference will be heavily affected by the CRS. Let's see what this looks like numerically.\n", "\n", "First, what *is* an appropriate projection to use? You should use a conformal projection. Conformal projections are often described as \"shape-preserving\" projections. Since shape is exactly what we are interested in, conformal projections will meet our needs. Keep in mind that projections are parameterized to cover specific areas on the surface of the globe. The larger the area mapped, the more distortion there will be away from the area the projection is intended to cover. Nonetheless, World Mercator will give acceptable results over much of the globe as long as you are not at high latitudes (think of Greenland on a World Mercator map), and calculating measures for a shape that crosses many degrees of latitude.\n", "\n", "Let's reproject the virginia counties to World Mercator." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Virginia Counties')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.to_crs(epsg=3395, inplace=True)\n", "counties.plot()\n", "plt.title(\"Virginia Counties\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's calculate the length-width difference on both the lat-long and Mercator coordinates, and see the difference. The measure is the difference of $L$, the length of the shape in the North-South direction, and $W$, the width of the shape in the East-West direction." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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lwd_lat_longlwd_mercator
0-0.0571527834.746553
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133-0.006683111.373760
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135-0.041515-3880.980596
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136 rows × 2 columns

\n", "
" ], "text/plain": [ " lwd_lat_long lwd_mercator\n", "0 -0.057152 7834.746553\n", "1 -0.169186 -4082.002847\n", "2 -0.037289 4894.678174\n", "3 -0.008430 1097.722973\n", "4 -0.070480 7499.467262\n", ".. ... ...\n", "131 -0.021633 -1742.967132\n", "132 0.023273 4775.942741\n", "133 -0.006683 111.373760\n", "134 -0.015362 665.530662\n", "135 -0.041515 -3880.980596\n", "\n", "[136 rows x 2 columns]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lwd_lat_long = shape.length_width_diff(counties.to_crs(epsg=4326))\n", "lwd_mercator = shape.length_width_diff(counties)\n", "# plt.scatter(lwd_lat_long, lwd_mercator)\n", "df = pd.DataFrame({\"lwd_lat_long\": lwd_lat_long, \"lwd_mercator\": lwd_mercator})\n", "df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As the length and width are in the units of the CRS, the scale of the values is completely different. Many of the measures we will explore later have the desirable property of being *scale invariant*. Let's normalize the results by dividing by $L$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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lwd_lat_longlwd_mercatorscaled_lwd_lat_longscaled_lwd_mercator
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1320.0232734775.9427410.2858820.424618
133-0.006683111.373760-0.2099710.025320
134-0.015362665.530662-0.1728700.054250
135-0.041515-3880.980596-1.500069-1.015612
\n", "

136 rows × 4 columns

\n", "
" ], "text/plain": [ " lwd_lat_long lwd_mercator scaled_lwd_lat_long scaled_lwd_mercator\n", "0 -0.057152 7834.746553 -0.128097 0.122680\n", "1 -0.169186 -4082.002847 -0.361438 -0.061054\n", "2 -0.037289 4894.678174 -0.130227 0.119615\n", "3 -0.008430 1097.722973 -0.131204 0.119460\n", "4 -0.070480 7499.467262 -0.142612 0.106586\n", ".. ... ... ... ...\n", "131 -0.021633 -1742.967132 -0.875289 -0.510157\n", "132 0.023273 4775.942741 0.285882 0.424618\n", "133 -0.006683 111.373760 -0.209971 0.025320\n", "134 -0.015362 665.530662 -0.172870 0.054250\n", "135 -0.041515 -3880.980596 -1.500069 -1.015612\n", "\n", "[136 rows x 4 columns]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bounds_lat_long = shapely.bounds(counties.to_crs(epsg=4326).geometry)\n", "ymin_lat_long, ymax_lat_long = bounds_lat_long[:, [1, 3]].T\n", "length_lat_long = abs(ymax_lat_long - ymin_lat_long)\n", "\n", "bounds_mercator = shapely.bounds(counties.geometry)\n", "ymin_mercator, ymax_mercator = bounds_mercator[:, [1, 3]].T\n", "length_mercator = abs(ymax_mercator - ymin_mercator)\n", "\n", "df[\"scaled_lwd_lat_long\"] = df[\"lwd_lat_long\"] / length_lat_long\n", "df[\"scaled_lwd_mercator\"] = df[\"lwd_mercator\"] / length_mercator\n", "df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the normalized length-width differences are quite different for most counties, and that for some counties the two measures have opposite signs. Treating the polar coordinates of lat-long as planar coordinates makes these shapes taller. For some counties, $LW$ in Mercator, yielding a positive measure.\n", "\n", "Let's plot counties with these values. The counties that are tall North-South have a positive (high) length-width difference, while those that are wide East-West have a negative (low) length-width difference. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.278488Z", "iopub.status.busy": "2025-06-29T18:42:44.278372Z", "iopub.status.idle": "2025-06-29T18:42:44.325072Z", "shell.execute_reply": "2025-06-29T18:42:44.324816Z", "shell.execute_reply.started": "2025-06-29T18:42:44.278480Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'length-width difference')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LWsBKoVAoFArljELFCIVCoVAolDMKFSMUCoVCoVDOKFSMUCgUCoVCOaNQMUKhUCgUCuWMQsUIhUKhUCiUMwoVIxQKhUKhUM4oVIxQKBTKCvK8fi+sAQc95hTKLKgYoVAolBVkr+kYPn/0x6woiTBReuwpFCpGKBQKZWUJMWF4I378ue9pfO3ELzHqHadvAeWch0ZGKBQKZQUJRcPTP/e5R/GN5v+Hdkc/fQ8o5zRUjFAoFMoZEiMEV9iL/275HQ5MNNP3gXLOQsUIhUKhrBD+SBDOsCdm6uYnHQ/jiaHXwDAMfT8o5xxUjFAoFMoK8Zz+LXjCvriPPzr0En7W+TdWtFAo5xJUjFAoFMoK8d7Ci7FDu3bRZd6eOIFvnbwPE34bfV8o5wxUjFAoFMoKIeaJIOdLl1yOFLbeeeKX6HAOrMh+UShnGipGKBQKZYU4am3H7vHDCS1rD7nw7ZO/wW5jYssnw6DLiibTCA4YBzHhc2d8/RRKsvCTfgaFQqFQksYV8uI33f9M6jlhJoL/1/0YBr0G3FZ+I3ic9K8fex1m3PjK3+CLhNjfeRwOLiuswocq1+PigkrwufQalbLyUDFCoVAoK8CD/c/AEkzNBv7Z0Tcx4jHiW/WfgIwvSXkffOEQvvz2f6aFCCHCMHh9tIe9Cbk8SPkCSPlC/PniD6AxKy/lbVEoyUAlMIVCoSwzhyyteGP8SFrrOGprx10nfg29z5TyOl4e7kCXYyLu48FoBPagH2NeJ+488DwrXiiUlYCKEQqFQllGXCEPftfzr4ysa9Q3jm83/xZHLT0pPb/DFl+IzKfPacGtbzyOd4xDKW2LQkkGKkYoFAplGRHxhMgVZWVsfVpRDr7e/BCe1ydf2HrKakxq+RPmMXz0jcfxkd2PYczjTHp7FEqiUDFCoVAoy4wt5MrIeog565jPw077/XnH0/hd94sJT/49YhrBYdNwSts9ND6Mm3c9ykZLKJTlgIoRCoVCWUae1+/FuD8zJ/FSWQnGfNbp358Y3ofvnnwE3nBg0edFolH88OjraW2b1JE81n08rXVQKPGgYoRCoVCWkX0Tx5OOfmgFOez/84lEhQvu229ux+1H/wiT3x53nU/1t6LNNo50Wa8tSHsdFEosqBihUCiUZaRRVZnU8mWSOjSbg/AHilAiXjN9v0agRodTH/M5Pe4xfPbIb9HpHIn5+MOd6XXyEPgcLi4tTO61UCiJQsUIhUKhLCMfK70OWqEqoWX5HAHabJOFouaAG5EoZ/oxrTAPDOJP9LUEXbj96J+w19Q65353KIAehxnpcmvNRiiF4rTXQ6HEgooRCoVCWUbanf1whjwJLSvhSuAIzkz1jWLSJE3IEaDLtXQnTCAawndbHsWjg3vAnM7znLKOLyJhlkYjkuAvF38Q/7flqjTWQqEsDhUjFAqFskz0ukZwT9tfEGLCCS3vijixPluIBlUutuuKYAhOpl1KpKVwh/0Jb/fPva/g3vZ/IxQN46RlDOlQrcrG5UXVaa2DQlkKagdPoVAoy8STI7sSFiJTmEPjYJhxuANc4HSWJswkf934suEoXCE/dvXOdN+kgiOYuAiiUFKFihEKhULJIFEmij73KFrsPThobklpHRwOwGDGP8QemkndJIpaIMPbQzZYA8k/dzYmn5s1PCuQKdNaD4WyGFSMUCgUSgb51/Au/GPo5Tn3CTh8dsCdPeRCvlgHgz9xW3YZTwqDz5b0fhQIC9DmTr9w1Rbw4ZLn/4iPVW/C/26+AhyilCiUDENrRigUCiVDdDgH8PjQqwvur5KXwBpyQy1UYcxvQb44O6H1kRrULGEhgtHkUj0Ehy+dstW5hKJR/LXrKJ4ZOJWxdVIoGRMj9957L6uS77zzzrjLfPKTn2SXmX9bs2amf55CoVBWw0C8n3X8DdFZ6RUpT4w6ZQXaXAPs79agkxUiY/7EIhZV8kqccsT2DokHj8NFA3neRHwTtFT5nyOv4tHuY4gyDNutE4pG4AkF4Qj4prt3KJQVTdM0NTXhgQcewLp16xZd7v7778dPf/rT6d/D4TDWr1+Pm2++OdVNUygUyrsKMh/mgb5nMRGYm04plRWgzTkpRKbQCOUw+k1LrlPBk6PblbyNfBG/Eq/3pZ+eiYU/Esb3mnbhR8d2IxyNzmkZvrq0GB+rXYMLdBuXZduU1U1KkRG3241bb70VDz74IDQazaLLqlQq5OXlTd+OHj0Km82G2267Le5zAoEAnE7nnBuFQqG8WwtW7+/+J940HUWNogyFkhz2filXjB736ILlHSEPOFNtMougE+Um1c4r4PBQL6vGwdHlESLz0zazhUiWSAAPvwv3dvwVP2l/iI0AUSjLLkZuv/12XHfddbjiiiuSfu5DDz3EPq+0tHTR9A8RMVO34uLiVHaTQqFQlh1b0IVjtk6Q03OnawgjvgmUyYpQKi9AMBpasPyozwSNUE16ZuKuk2Q8+swilPDrWSO0pdAKlfA4crC7f/mFyHw4YLC9lKSgJg3aDphP4otHf4KD5pMrvi+UcyhN88QTT+D48eNsmiZZDAYDXnnlFTz++OOLLved73wHd9111/TvJDJCBQmFQnk3ohWpUCkvgtXaPn1fvyf2DJkpvBE/sgW54DIi8CEBwwgQifIQCDNwhyKwBwLQey0gBqwaoQqN2aVgGA4CEQZBrhmm0IzoEHO54PiyMOGbFAMrzfXVGvT5Oubc5w578dTIbpyXvf6M7BNllYuRkZER3HHHHdi1axfE4uRnFPztb3+DWq3G+973vkWXE4lE7I1CoVDe7bxuPIKmWUIkEdTcYrw1TMQDScMsnoqxBX14e2zGK0QtlKBMm4PxoIkVIh8oDsAZ2o0ry6phdGdj7yiDEXcEK8GFRRr0+WO/9kHPGFtLQwpqKZSMipFjx47BZDJh8+bN0/dFIhHs27cPv/vd79haDx6PF/O5pNL64Ycfxn/9139BKFw4BptCoVDONgY8Y/h975NJPy/MpO5qag/60G8WoSEnHxfkDsMa7Jm8P9wGco14dRWg4pfAGyzCCZMIh4yBRVNCqVKhksHD6yMDdOLOyTH4JlAkzc34tinnuBi5/PLL0do6dyIkKUStq6vD3XffHVeIEPbu3Yve3l58+tOfTn1vKRQK5Qwz4bfhJx1/wweKLsXfB19iT7rJImDU4CD1AXbOUAA7sv3TQmQ+jvAwwB1GYx6wtVANPlOJXrsKbw4H4Qmn34IrE/BQorPDFCBCJz6ksLdOWYYiSQ4rSshNJZCnvX3K6oPDpNkcfskll2DDhg247777pus99Ho9HnnkkTnLkYhIT08PDh06lPQ2SM0IKWR1OBxQKqklMYVCOXM8PPA8/j3yRlrr4IIHQaAOrdbEnVhn894yEbTyt5J+Ho8jgIJXiQlPLt7Wc9DvTF5IEaP662ul6Pf2p/Bc4ObiK/DJ8htTei7l7CPR83fG7eBJkerw8PCc+8hOPP3006znCIVCoZyttDsG8Jx+X9rriSKCbFkESGGGXaGMj0LlMfjjpEcWI8KEYA93QiDqxGUVwPv4RQiEitFk0qDb6oU9sLQ4ubZSi35vG1LlqZE3sEXTgEZ1VcrroKw+0o6MrAQ0MkKhUM4EL47txw5tI7JFagx7jfh68/1sp0gmyIqux6FxQ1LPuX1tFAynA/5o5nw8eJDjbUse64wd9VSiw+KKu+zWPDV8gsk25lQhZ5xqyVZcqFuL95auhYAbP71POfs5Y5ERCoVCWQ2QbpA/9j4NpUCGMd8EnhzZDV9k8RqJRMnhl2D/SHJCRCfmwcccmjybZxAetw5R2Nj15mls6LcJEYguDLsUyiXgSIYQTaPmhMNwkM1Zh5eHhtjbb9v34fFLPo5CGfFdoZzL0J4rCoVCmUePawTfbvk9O2fmZx2PsIWqmRIiREuM2Zc2MpvPhD/MdslkGntINv2zMWDGlVUK1shsNiIuFw353rSiQnwIIYk04uCsaNCY14ndY90pr5OyeqBihEKhUGbRYu/B3S2/hSPkZn+fPfguE2QJctDvmjvDZjHWaUX4aLUQX1mX2f1g5QF3Pbrdc+ff9Pq6sL3CiyvLs07fw+CqKin0fmPKW9LwcmC050HIJf5Rc4XOs4Mt8EdSKaSlrCaoGKFQKJTTkBK6P/Y9nbEoSCyE4fyEl728UIyt+fsgFu2FJ3oEjvBQxvbDHz0fb0644Q7PGKpNYQ+5EOFPurxeVa5Fny92C3Essvj5KOA3QsKZibiE4Ee5UgVLwIWrisrA48z4nrTZjfjywacRjK6MURvl3QkVIxQKhXKabvcwBj3J1XIkQyG/Dm8bElt/uVIJroAYRC4+jDTVVFGPe/HozHjAjCtKs2GMdC65PjUvF3x/IxyOKhwZBd4cmYCEp5p+3B1xwsVtBU/ShcFQEy4sVIHP4ULKE7D7stfYizbb8h13yrsfKkYoFMqqp9nWiX8Nv8ZGPhZjl/Hwsu0DW7SqT2x+jE4sAV/kwnGbAXuMVeAwGzO6L0JeDjs9eDGIlTsjGmeNyiRseiU+Io4UY14PDF4XwsxkOinCBBdZdxi1ijwwUT60AgW2ZJVCyacjQM5laDcNhUJZ1UwEbPhF59/hDLsxEbDii1W3gMdZ2E5qDtjxxnjyA0AToUSqBicoRiiamA18g06BU87JNIkj5MN/RoFLcq6EUvQWOEi/viIUNaFBWYt259iiy+l9k6ZspdJcjHjj14yMhweQm8XFen41HD4RFBI3zMQFNgbZ/CIcGg3CH5lcnzsUgDXgRZZ4Jq1DOfegkREKhbJqCUXD+FnHw6wQIbxmPIh72h6IWRMyae0e/2o+VcpkGsj44+CIDuOjdRLwlhgTUySTo8O1sDbkLdM42m0XsNN7M0GeaBicBGfWyPjSJZdhEIUh3AWvoAXj4X5EEI65nIBRwB+Z+1iEYbDPMJDgnlNWI1SMUCiUVYnJb2WFSJdrcM79R23t+O+W+2ELOue08u4eP5LxfaiQZUHMM8Ab8YABg4nwCXy43osGDTm5x04ZVWRJ2BRJLHrdFrTYLgYXdWnvWzA6hI2awoSWJZ1FpdIC1CsrUC5L7DnxcDEGXF6qxgWlPFxcIsZ5+XlQCETYmVua1nopZzdUjFAolFXJU6Ov47B17mDPKXrdI/jmyV9j1DvO1pE80P9sxrevEogh5hnhi8z15jAFh1GoPY73141jR+7coXE1KjXanYt3zAx6rPBHMjMJV8XvAD9GyipWusYTYmBxK+EMRlAkLkh5m+6oHWPhTljCepgig7Bxm7GhyIUcCR2gdy5DxQiFQlmVLNWeO+634Fsnf41n9G/glKMvw1tnsFYlgycymR6KhStsR222B1qRGCqhEJcU58LOMbARlKUQcRMrhE2kdmSLJm/J5YrF5Thl9WPIN4FQUAdpAmmbZOBw3vVTSSjLDBUjFAplVdaKtNiXdvZ0hb14bOgl1Cky62y6RVOIkQS8OaLwgiexQSn3otXZHzc9M58hjy5jtSMibjOkvPidLMSorNfuZ7tkLAE3lBIf+r3DUAsUyBNnZ2QfuAnWrlBWL1SMUCiUVccB8wlYg46EhUufewiNqvI0tjhzZb9Rkw9nuHfRpUVcMQrFa9Fll7ICxJukydoJ2zhC0YuQCSKME5s12riP5wuqkC2Ws8WuEp4AttAEgtEQiEUZh5OZUwg3Q+uhnL3Q1l4KhbKqIDUgz+nfSu45YNDp7MN6VRVOsimbxK/US2UaKPgTUAq04IKPEV/bks9R8urwwshcG/ZkMQdEKMhUtoRpgkZQC9tpC/zZ2AJBcPkTqFCTTqMQXKdrYEhRKzluRZJcqIRyuEM+DHkXbxWOB59O7j3noWKEQqGsKnrcw+h1x/a4WIo2Zy8alRVsEWk0gdoNrVAKJd8MZ9gJV3imO2cp9N7Yba/JcMwyDg6uQqF0AFEkbtceCwZ+rFdL8NbEQjHC4ZvY1ltfdKFtvDPkYW/wmdjfa+QlSR37y3K24qaiyyDmEadZyrkMFSMUCmVVYQnY03p+p6sf1fJiDHpMCDCLG4zVKoXQ+5IvJi2R8XAqvd1kxdIRixGwSHCe4v2wmDjIUfqRlfdSSusLR44gT7wJRv9cm3hHOPHX1+0eQYWsEEIuH12uoUXjS5s19fhqzYch4ApS2l/K6oIm6igUyqoizKQ/cK3PM4J8iRrKRbpG8sQK6H39Ka2fz83cIL4aTg1eOerEgUEb9vak0ZXCiaJBkf5k4H7PGDpdw1ijrIy7TKW8CN9t+DQVIpRpqBihUCirAnPAhmPW9oQLV5di1DcOCY+PHKE65uPV8nR8MTLQPcJwUBNag4PtVoSikyIiFImiv+/9YKJLe4fEIhA5jnJZTvr7xqa8BlB9uktJxJ2bhtmoqYOIpmYos6BpGgqFsip4oO9pvGM5mdF1WoJ2yPlSdjbLkHd8+n4ehwNLcHFzssWIMOnVSIghhNZViYP6mX0iuIJB7OkLIldzCWRZbyS9Xg4HqJDaMbD4DL2EIMWtgx4j7qz5KOqU5fjC0R+z9/M4XNQoqNsqZS40MkKhUM569F4TDllalmXd7rAXEwEzauRF0/etV+Utami2GGKuBPvHXSnvj5arAc9YjJP6ySF2sYhEU7/ODEQ70KBM3WF1NtXyElyZtwMRJgIBh4/rCy7CX7Z+D+dnr8/I+imrBypGKBTKWc+z+jcTci5NFeKrMegZQaOyHCq+GGGk1sJaKM5FlbyAbT9OhVJuMYx9UgzZFk9FPXcyCiaUj5UYorcY1+Sfx/6fJVTh4e3/hy9WfRA54qy010tZfVAxQqFQzmrIwLs3xw8v+3ZI90qnqw/rNTI4QnM7ThJBwhODy3Fg1HcK7ynyQcxN7uu3FjU42RGAw7908atEwAd48SMnCQ3RU6c3EE/Bl+IC3WQERCmQIUuoTGt9lNUNFSMUCmVZcIf8eNvUjmiCFuep8sLYXoSY9H07EkHFl2DEm9ocm0pZLlzhSRFjDg7gfaUM+KRIIwFqIw040GFF+HSh6lKUayTgcNM7JspZQ/S0Qjl2aAuRI1Ik/PwrcrdBSNt2KQlCxQiFQlkW/jW8H99qfgQfO3gfXtIfY23Xl2MY3suGt7FS1Cq1iCKa0uwVo3+uiDEFuvDBUuKxwSwZETnQPWkqliidE24w0fjzZhIhzJAhevkol2VDLfSg39MFIc+CbVnFCZ04plI0FEoiUDFCoVAyjivkwxND+9mfBzwm3NP2b3zw7V/gn4NvwxPOnMfGLuNBeMILnUGXizCTfHqGkCfOQTiGgZopeAq3lMniCpIKbikOdSa/TX84jMGh65Biaco0GoENwagervBkwW0wGsSgtwObsnRsR1E81qqqUCzNTW/jlHMKKkYoFErG2Wdqhzvsn3OfKeDAb7pfwqcP/y4jqZtwNIL/6PdgpSiQqDAe0Cf9PAVfBuUiJqPmYDPeX7KwniKfm4tT3UHWij0V3uyxw2y4Eaki4majy+NGKIaIGvYOYLMmJ+4J5Jr8nSlvl3JuQsUIhULJOAqBOO5jQ54JHDanN0uF8Lb5OGt0tlKUSpM3OSsS50ElCMPoH1x0OXv4GN5fkMOamGm4KrZrxjAogje0uB39Ujx/yg235cqkn8cBH9ZwIdzh+IYjg94+bNWSjp25YknJl+H87A0p7S/l3IWKEQqFknH0Xuuijz85fCCt9ZPW2GdGdmMlCTPJ+YpIeWL4osNwhxMbQmPHfuQqLOhpE+BYmw9mz+R03HR58lgEIfe2hJcngRg+bwv0PuOSyw54erBercJmTRFEp4tVr8gjhavUT5OSHFSMUCiUjPKi/iibjlmMQ5ZuNkKSKifsnRhMcVx9qlgCfGgE2oSXVwtUrNlXMoiy9uM9jZkdHEfiFvva8xFlEuvcUQq3sFbuiWLwj2HE14kcsZftuHlPHk3RUJKHihEKhZJR2hwjCS331PDBlLfx9ApHRQj9HgtOOcJwBHMh5ZGi08WR8eKnquJBOnU0eQdxUXV6dvHzGbS7ELBfsuRyMn4lmh2pibxANAAJj0cLVykpQcUIhULJKNkJelG8PHaM9SJJltf17TB5xOAitWFw6cGBOxxAlnDpYXI8TmqttREmhJLSQ9hSmllBsrdLvugAPQFHiX4vN+lozmyuyL085edSzm2oGKFQKBklS5iYGPFGgvhR25Notg0kbI+u99jwv83P48C4HqFAObL46bWPFovWoERcn3QLbJvdiyJxY/y0DcPFPr0WYFITJEHGj4aao1hTkLmUjd7pgXeR6IiIlwdHyJny+rOFWmxQr0v5+ZRzGypGKBTKGYmMTLUAf7Hpz7h5/y/wUN9ujC1S+BqKRvD1o0/BeTqaMui2oXmCQaGwMSU/DTlPiaYJE942GiGMVkPGS3y/3ZEADltH2bRNtrBhweNSbEK73YxIKPHC0fn4o25sazwJtSRzX9NGmzruYwzSM6W7LOcScDn0lEJJDfrJoVAoGZ/hkix6nxV/6duND+z/Ob7U9Ge2CHa2OZrB68DnDj6KFpt+gUDZZzBAHK2HnBf/RBsLKacEgdOusL0uM4TcVKIYHJy0j6FE0ogiSSNyRYXggIdjpslURyiaXmTDE7Fja3nm0lH95hCY6GQtC1vQGiybfoyL9BxbKZR04DCpjo9cQZxOJ1QqFRwOB5RKOmyJQnm3Yg44cduh38IcmHTsTAcxV4BLchvRoKjAL0/thmsJ51YFX4SNOgX0wa4l102+9dy+ItaYbZsuF2G4YfSPgOGka8bGoFy0AbtGJ4tAbyqXgeG9k9Ya5TwN3mlZhw5jep4jU2zIV6Ou0In+cRWaRmzYWqyBXMSgtNSKXn9HyuuV8WT45fqfQsqXZmQ/KauDRM/ftBmcQqFkBOKI+t2Tj2VEiBD80RBeNZxAv8O9pBAhkGX2GQLYkr0WXvQiwMS3iSdO5vVqNQKwYiTQdvrO9PdZwcvCPsNMy3IwIoQgzcCGO2LDpetM6DBq0t4/OVeA5jEbmg3kxU4axh0Zmfz//VkSII1AjifiwWvG13FT0XvT3k/KuQdN01AolIxwwjaAFvtQxo9mJEnr+KPmMUy4c5AnnElBxGI0eAoTwcx5lZBoSzhYCH9kJoLRY+dkJr2iT7BQl2FwKQpQyJejQqBCnTALtUINe/8F/HzkHgN2CIhr6lx0MilePBaEip9cqms+rxp3wR1KzhyOQklbjNx7773gcDi48847F10uEAjgu9/9LkpLSyESiVBZWYmHH36YvgMUyiripC1xo6xEqZdXod2e3MRawoTfjQMGF/L468BdoQBwkbAOLdbxOfephOlvW8nX4dW2pSNDSq4Ql0eK0HlQj+g+F3x77XC8ZYHzLSu2DKnh6XTD6wvCesyKy5lCKLgCMGCwoSgPE0EPStUacAJLtywvhj/qx0uGVxJallQInDIbcd+JA/hb+7G0tks5+0n5L6WpqQkPPPAA1q1bupXrlltuwfj4OB566CFUVVXBZDIhHM78OHEKhbLy9LmM8EYCaLL2ZnS9fPAw7vXNiTQkC2kBLpOXI0fmhCU8VyhkEhFXgpPmhWmho2YTSpQbEeGeSHndPAgh4nEQmG//wTCQcPnYbstGNMJgsM+M9vBozHXox2Ys6V2eANrfGUXRe3Uw+F04MW5g7zf43fD1aFBWO5nGSgUxV4QSWUncx/3hEA4ahrF7pBdvjvTB6J2MoigEQnygqhEKIS2iPVdJSYy43W7ceuutePDBB3HPPfcsuuyrr76KvXv3or+/H1lZWex9ZWVlS0ZSyG12AQyFQnn3YfBZ8fmmP87pfMkEYq4QUugw4Lakva5BtxV6Lw87cxsxGjiV8ol2MeRMDWwxUj6kO+DlIS6uKytHmJNa5MgW1uOjO0vw1/0zO57Hl6JsSAyj0YGuwNIzZOajLVag1T7Xjt8VDKAmWw5FpBKDo3koLumFj5ucgMuNXAeDTY5urhmVqizwuFyYvG68MdKHN0Z6sX9sCP7IwgtRVyiIJ7pP4rONqbdCU85BMXL77bfjuuuuwxVXXLGkGHn++eexZcsW/PznP8ejjz4KmUyGG2+8ET/60Y8gkUjipn9+8IMfpLJrFAplBQtWv9fyRMaFCKFUUogjE5NX7JlgqgW4QV0PodAAVySx4XWLwQMfOkEJolEFDhjj1574IiHs0+fhgiIHolh8gGA8BIIgib+wPws5XGiaoxhypibUiEASb5ID9oWFxicMVkTHyHZsKMmuAOTjEEZVEDAK+LlmRDjxHXP5jBiPtLfhEUwWBEv4AuTLFOh3JPaaH247hk82bIaAeyacdSlnnRh54okncPz4cTZNkwgkIrJ//36IxWI8++yzMJvN+NKXvgSr1Rq3buQ73/kO7rrrrjmRkeLi4mR3lUKhLCMvjR3DKcfwsqw7EF6G8AXA1p/I+VJs0uViNNCVcpQkV1CKZlMEnWFyQl+6e8jk9+DQWD225jDg8JOfyePryMGG3ih4PA5bKGtwOlLbcQBV1xThbXvsdE50ltPDq+0OXFB2EQ6NOeEOBqASZ+PiBsDOb17wPA7Dg8e+hVTrzOxzOJSwECEYvC680N+J91etSfo1Uc4xMTIyMoI77rgDu3btYsVFIkSjUbbI9bHHHmN7jQm//vWv8cEPfhC///3vY0ZHSJEruVEolHMPJV+GTkfyRauJ4j7dAiznF2CNJhvW6Cl2QF2i5AurcMjgRjCa3AyXMa8LzkAOVEleAooHdmL3s/aUXGbnU3lJAd72xhYisdg/aGb/z1PKYFeYcMAixPb8ArijcyNBQv92vDWW+hTmKR44dQQ3VTaw5wzKuUVS3TTHjh1ji083b94MPp/P3kg9yG9+8xv250hk4R9nfn4+CgsLp4UIob6ezIJgMDqa+B8FhUJ5d3Fj4VZUKxa2iaaDkCOAIKqedkZdTogoOTyhhzBSCyEnsYsrLT8fB8acSQuRKfYYTGBCFyS0rGS8EfzmK/DWE9yMCJHSzTk4iNRSX5LTXUGecBB6Z96CxzmczHhndtomsH808+3hlFUmRi6//HK0traiubl5+kbqQUgxK/mZx1uY6zv//PMxNjbGFr1O0d3dDS6Xi6Kiosy8CgqFsuIcMgzD7s2MK+gUJdJ89GegaDUZ2uwm+PxFkPNmLpjioROrcElRNsrkic+xmc9zQ07YPVfA778U4tFLYgoNUcclaH4mD3te8CAUTtcVFsirUaNZbUMkRVUTDEewVlmEGkUuXCYhFKGaOY8L+J609k/JF2GTshDbJMX44Wt7EKDdluccSYkRhUKBxsbGOTdSkKrVatmfp+o9Pv7xj08/56Mf/Sj7+G233Yb29nbs27cP3/zmN/GpT30qbgErhUJ590K6Lr7+1sv4yEtPoneYjwp+VcbWLeQIcSYgQ/fGHOpFpwCr+EqM+izodPcgJBjB+YVSnJeXAyE3ebumtwwm2NoVeP2vAXCPXD1HkAg8OTj0CgOTOb0T/BTqfBmGyoNsDUeq6O0eNHXY0dLpQb/ZiX1tUihCteAwfHbf+WInGrMnuyUJ5JiszVVDlqD97BpxHlr6x3F8xIABmw2/f+dwyvtKOTvJuAOrwWDA8PBMUZtcLsfrr78Ou90+HUW54YYb2NQOhUI5uyAntE+9+jSe7pnsmPCGQzjQZ0NZdA34TPpdEKH0gwApMxFwo93CRa6wdPo+cqKtkleiUFwKo98PU2CmC2fQO4ahQDfKsry4vFiHCkXic7PKwlkY2T1pw75vlxO8o1dD5CiBsP1SHPlzPdwe0j2TPlKlEO5NfFj8XmQSVzCIl07wcOh4HXjhrTgw7sM4vx+NZQzOL9VhW4UURs4gNDoHpAkIkmh0bsTmgSNN6JpIvwaFcvZAB+VRKJSECETC+OyuZ7FvdDDm41UaDdRZXhjCxqQKQqVcMTwRPxoUlWiaGEs5lZAp+BwuzsvLYgfu1cprcMKeuD9IqTQfnKgSx0xm+GPU0BEkUQEq9+lgMKTeEZMIfAEX8muy0O6YLELNPAwuWafGKU//nHvVAhnsIQ+0QgXcdiVGnUtHeLaIi9A8OtcvZX1+Hp786IdZrxLK6h+UR99lCoWyJOFoFHfueSmuECH02mw42heAVa+D1luLKs4alAnKIF4k9VIuLYLBDURDKhwy6c+4ECGEmSj2Gcyolq7HSXv81xuLIa8Bg/4uFGvcuLw4G1WzCvdZGGBzd8myCxFyFHOuzV1GIQJcsiZ7gRAhECFCsAbd8IcTK/QNRxaK15MGIx49sbCNmLI6oVN7KRTKohDvibv3vYpXBroTOlK+cBinJszTlhNcjhLlKjXylCJwBAGYoyY4ok7W7t3kCU13trwbI0FR9rSePMQev9Pdy17u7SzIA59RsdGSjROl6DiRvGNqslReX4T9cbxEMsF51Vqc8i/+eVijKIMpymBdgQxv9hJRxFm0QDYW97z5Fp5ta8fllZW4vKoSDTk62va7SqFpGgqFsih/aWnCPYffyuhRypPJUa5RwshMYDyYvhvqFOR0t0lbAn84iDZHeif9Swq16HJnbvifmCdEVbAM+jeiMPQunGOTKSovL8TbYf2yrX9DiQYGYX9S05QbZdXY0xe/BqQyko0h29Kfg3yFApdXVbDiZHtJMYQxOjgpZ2eahooRCoWyKE90tuDbb7+2bPUZWwrzMBjWwxlJv8iyXpWHTuekCNEIpRBweBj3L+2QOh+VQAS13I5gNLOtywQOOKjmlcB/XIruAyRdkzmDr/IduTgoGk8xnrM01TkK+NVj8EWSL7CtUxSzr50XFWFPnwkyAR/eUBjblaU42h/fTj8eMqEQF5eXsRET8r+admee1WKEpmkoFMqivD6U2Wm88+szDo2OYVNePpzoS3t9ZB7KFCT1w2VSO9Fv0mnQ6Vmebg4GDLojQ8B6oGpLDmSDOrS97EA4FFtC8EU8FG/RYeykBQF3fHFU0KDFUakZTGp+bEuSrxIDWRPwhVLr9Ol0jUz/fFlVFSJ8BwQcOfiMHfIxPtz+5IzuPMEgXu7qZm88DgdbigpxRVUVGzkpUatT2kfKmYNGRigUSlzaLSZc+8zfl/UIqUVi5OqAkUD6ZmfrNIVotU+mKEpkWRh2W1OIEjCo1UbhDGfG5yMRVHw5iu0l6H7ZC6c5hOwyJWTr5eg4fUxsAT9kAgE2inLBDQIGsRcSDh+hg244TT52Cu9IfQj2QPxBdumgFAtQVhnEmD+1QX/zkfAEAG8mElYRrMf+U5lL11Vna9lUzhVVlViXnwcutZc/Y9DICIVCSZv/9LYv61FUCUXI1XEwEshM10eLTY8GVT6kfAFcoUCK6QoOfJGVLah1hN1wyNtR/L4NMI46cTLgAOYNw/OEQtgfOl2Uejo4UbxdhYpoFjgqPiJBLzguwObPrCAR8rioqwb6vZkRIjXKHMgFPHS4ZvyoeBmO0feYLeztT4ePIFsqxWVVFbj74ougSnCmGmXloWkaCoUSlxpN9rIenfp8NVq8C9tD06Hdkdr8ldlIeCKEVtiSXMcpwNv9E0m1N4+4HRiBA5hVbqORitn3zeEPwB8OYciRehsxBwy2N0rR4c7UvBgGUU4AHa654pMj9bHbkooFyFWL0G+ciUrxuBzUFmohVvAwMurChDO52iKz14snW07B6HLjwfe/j/qWvEuhPiMUCiUmkWgU/+hYXp+HVGs60oWc74ukGmzSlKFKnhOz82Ul4TI8jI+pMuKzQiIjhw2j7NA5g9eFSs2MTXtyMLhkrSaDQgSoUuRC71sYBev2D2LzzhAqNzggLBlDfbGc3X5lngaiQqAlNIYj1hFws6NQy1KLbuwbGMR9Bw5m4FVQlgMqRigUSkweaT+BZlP6UYZ45Ei52FTyDj5cQWZUrazZ2QZNKQadThyZGEGn3YJCiWbmMW02nKeNu1aKgvBaDNgzb4QWiERgDXixtaAA4iTbYC+uz0arN/2i4tlkiUVxHxsLWGAOOuEMe+HQ9WDLzjDkORw4QzMpM73XCXk+DwpJamLxj4eOYP8gnQr8boSKEQqFsgCGYfC7E4eW7cgIucBHNhnhCBsQ4hzC5+r9yJfMdMIsNxFmJgUj4vJZt1AiiC7Oz8NEeAD+aGodIwqeEkqmBpxgGQpFJQmnZ/Yv4sGRLla/D0eMeqzNy4OEn1hmfkdlFtqCiZncJcOQywElX5rQsmMBMyz8DugksgVDDbXFIpTlLD1lOV4XDuXdBxUjFAplAT02S8aHq83mts1RWMMzLcOWYDcuK+rElQUkPL/8tDvGsFVXhG26YlQoVRByo7ikSIdub3fKrqschgO/PxvtdhNGPHb02yNzpvEud3pmKY4YRiEW8lGgUCy63NoiNYY4ma3jmWLc74SCp4aAk5goIjOO6rQLvSl6nRb0ciewuT6PbZVOhnLNTBSM8u6BihEKhbKAJ7tbl/WoBCMLUwb+qBtKyQF8ppYLCW95v5qI4DhhG0KAMWNTnhUb8wYh5aeXmikSl2HAPdNxUqNSY6mO0uVKzywWJSEupjpp7OhEebYMTtkoQstlVkKEhGsCFfL8hJf38+K3fB+2DWN9fU7CgoTP5aBEnVpEZbXiDvlxwjLM/n8moWKEQqHMYcRpxyNtJ5b1qCgl8T0lbOET+EiVAeuzSC3J8tKoDULv70GYCUPKd6ZVuxJkfNiSXYAGdQ6UAjFM4cWjCzrkL2t6Jh5HjXqIhHys0emgmdXqqpOLINTZ4FmBOUHuYAQNylLWIXcpjEEDa2oWj+O2xKzvL9yiwU2X5UPE58PosydlZ3+2plptAQ+6HEbsN/Xg2eHjMPtJOnIuv25/Hb9q3wUJf2WLtudDW3spFMocfn70bQSjy3dlfFGpENZI26LLOMJG1Ggm0KDZin/2kXRR5rtu+BzAEprxujD6R7FGVYc2R2oCYTxIbOiN7K5qFHz4ovFbg3ngweFXYmuFHJ16K+z+lfU1GXGSlmCgTqNDdVY2+uxmFJUFMOJL3jo/1egIXMR2Xwou14PoIsKA6BC5QARHMPaVOzE0ayzNgccbhMHmRmDe0L3CLCnKi8XoCg6AFyjCtXt+DlPAiWKpFh8tOw83FG2CZIW7p9IlGAlj2GOFye/CBLkFnNM/k/+J6JgIuBCa9Xe8RVuG9xVvnLOePpcJL+tb8cRFnwOPc2ZjE1SMUCiUOSZnL/R1LtsRUQo5WF/cB3sCFh5RRBAEKW6txouDKoz5MjsnplIpgz86d2CdVujPeIFsLAp4DXib9UOxQKzgY0dhIdpHLXAGVq64MlsiRZdlss2WuLvalrFGKB6OkB8VSjUMSzi76iTSuGKETJU+GdAThYfSMjUETiGi0Sg8gRAsLi/yqsJo9fawy56wDU4/b8Rrwc/aX8CfenbjgyXbcUvpDmSLFq+nebdwT+uLeHb4RFIzoP5n3XULJh7/v/bX8ZW6y1AmX14/oUSgaRoKhYJwNIp7Du3BnXteWrajoRZx8cltY7CHZ2aUJIIl2INLizpxVWFmi1vD0YUpGb1/EJXy5S1wzBMU4YBhZqKwPxJGk20IQk0EWunyp6amqFBlzXF3zQ+XL/s25XweLs1V4ZoCFa7MV6FEKkZeAq6oQVkPqgtdUAsXX3bIbUcv14R+vhk2hRsXry9Ar3fx9nRHyIeH+t7C9Xt+gR+2PoM+1zjezRwxDyQlRAj/VbkTlYqcBevxhoP4SPk2vBugYoRCOcdxuH34yivP44lTJ3FxoBjnOwtxSbAEF6MEDYLMXDFlSbj4+NYR2MIDKT2fFLcqxJPFrTKSX8kA/kjsVFSxdPmM2AQQYMQmZK/m52ML+pCbI4SYn5wfSKo45tnGHx02oZpfiWJ+Aeo49Wx3UCYhr+raIhNEgkNguIfA4x1CQ9YJFMsSi8gEmCDW5iQuFEmq8Y3xQdRLqiZn4SwBKdp9bvQYbtn/G3yl6W/oOT39+d3GCyMnk1o+T6LCF2ounnMfSYv9qm0XvrvuOnDPcHpminfHXlAolDOC0+PH7b99FidfG0FBjxStpwzo6BlHS+sYWo+NwdPig5ob36gqUXOzWzcPwRZO32yKFLfeUmnAhixpevskFmJn/twUzRSjvl4US+KPOk9ru9w66D2kUDY2Xc4JCLMi2F6Zh9Ks5dkHdj+kMnRb53aphKJRvNNlx4muAPb3mlDLqc/oNi/LV8EZNi24n2GGoBUmVrPh4o5BIUimvoOD/SPjiHq0qJTlJfysg+YefOKdP+JF/fIWcieDJeDGoYl+thg1Ge5e8x5I+XP/hl/Wn4JaKFkQLTmT0JoRCuUcFiJf+s0zaB+aDEv7gwvrHFzeANZ787FXnFxqZTYf2eiENcnUzGI4w+Oo1pixRrMVjyVZ3LouS44qjRXusAnGQOxWXtImWqUUYSS2VkmZQkEpDowu7WjrCQdx1DZZWFtfpoMsKsHJURMrFjJFuVKDCffiEYkeoxtI/Py9JGphFK4YwShneAIX5YiwyyiHZ4l5QNawFWV5KsCbj1ZL4oXGY24PDG4GF5dVotWdmKtsIBrG91ueQottGN+ovw7CTE/zS5D/a34Oe4xdsAaTbz2/IKcal+fPFZWBSAi/6diN/1l3Pd5N0MgIhXIOQtr+7vzjc9NCZDFa2wyoTzFdU6bmwxY5hUxDilv9bHGrF0oBL6boINGP2Yi4HJSpjTAF9PBGFv9iH/X2IEc01/kzHUQcEXotyac9up0TOOEeBrmA3VGZjwJFZvbJ4ltaaY17PCj21aOOW5fydvIEuul0jz0Y/3RjDY7iPfmJRTwcEQfswk78/pKr8Z9rPo4fb7960dbfKRhwsHdwHFnC5GqPnh45gs8cfhAGX/x29OVkfVZxSkJEyOXjv9deO6do1Rrw4OtHn2QfuyCnCu8mqBihUM5BWvoNaO4dS3h5QT+DjYJcKDjJWba/pyZA5rRiubAEe/GhSjsKJELcUinBh6qEeH9lEEppK84rcEAtmLmavbFMBmtwImGxs0aVuYJZDVODcd9Cj4dEIZ0kx2zD4Eb5WJ+dz0Y2UiVfpkCfbfHulSlOjJmwv2cCtbzqlLbldyoRsedPOtGGNOBESuMuy0Hi7c3k/PrU2B6s1ebh1pqN+MV51yX0PCJIikS5SJY2xyhuPfB7HDbPuAavFDcUrUepTJv08z5TfQGKZXOHJA64zWzBNClafbfUikzBYcgl0rscp9MJlUoFh8MBpXL58qgUymrHYHXi33tP4tn9p+DwJN/GSk4CRTlqqLUSMFEGwUAEoWAE0WIOToTmRlnkAi4+vPU4AtHlbxnNFm1Gm3NhLl3OV0DKU4IHAQyBmbbORBBwBDD6cmBP05myWFCBt0fj14kkymZ5KZoGJ4sqiVkZl8eB2Zf8sd2eV4QjY4kZhU1BIg87KnJAxroYHF7wc0xwM0tvm+8ohtHrRrlKjT67DQUyOa6s6wbDW1g/pBPV4qmR5PxtvlV/M64vmOwGebijCT88+saSz6nWqGDljSIViBfHgav+DwLuyhQZT/HyaCvuPv4UEqVYmoVnL/0SRLMKd0l65sXRFrZ4+obi9RAnUNS7kufvd5c0olAoy4bbF8B/3ftP/O21oykJEQK5dBkZt6O13YBTnUZ0D0xgQG/F8GELLuaUTBuYchhggyUfJ5+5HNHuq4DI8n7xRZnYJ3t32MWmZZIVIoQQE8KGNOeYSDgStE8kYKqyBMSpdMA08xptfj+0ImlC6Yn5mLzJCxgyO+dA3ziaRsYx6nQhL1S2+BMYDmr59RjzuNiTHxEiBEcwALenGpyoesFTQtHkI1F/6XsV3vDkZ/lT9VvxlbXnLfkcuTD1zyJxbTX4Jl/LSvKewjWoSqLY9L/XXTtHiBBIauYDpZtxc9mWFRMiyUDFCIVyjnCiVw+rK/0oxdoLtVh3qXaBSGk9OoaLvEUQgY+LAsVo7xlHn94BhtQM8DJrWLZSTAT6IE3ji1serYQlkP4x3yArgXmeiCDdMNVqLRq0uoRd7IsUSgyeFgbpwBfGj2CQz0JeuBpvDy8s1iV+Js92ecFwFpq7ucMtKJMmVxNjDbrw2NBb07/ftf5CNm2zGD1WO9bKK5EqRt/KzRKagqRULs6tQSJcmd/AFq7OZ77h2bsNKkYolHMAko092pVaaHo+9lw7mmW9UGUtLDgk0ZKibglb9ErI08rAq1o6dJ4uUSzPtF/i0Lpdm3y+nlAirEaTKX2vChlXiE5D7GFxXRYLOibM2F5QnNC6CuWZSXNHOfHFSLmoGC0TpvjPZRh4XTsX3B9mQlivMeE9eRpUysj7mZjC+tfwXoz7bdMn3B9uvRLXlcYuuq1WaVGp1MHtEWCDrAHVklI2ipMon6q8GFu1FTgTtLOOvYtDbO2/1fgenI1QMUKhnANC5HfPHcCju4+lvzIOA0PQxra/5hTF9vqwuWY6Nbbs9AK89NMUi+8SDyNLuGymw7CvDTu0iU+ZJci4cpwcz0xvcIOkEI7A4sWdIw7H0uduBjC6Ui+inY3fHTtaVCosQrdh6SiY0x/bSdUeMsAXbUKRrBnX5JvRoFjanj0YDePPva9M/87jcvH/zr8BF+bPdZTNlyrQ6zKjxTaGY5ZRvDkyjMN6C0p4lSgW5bHmaPEqKDng4O6GG3B7zVVnJMLQYhtlb0vxpdpLWJOzsxEqRiiUVS5E7n/mbfz11aaElhdLeajZqEZ2XhxbcoYD1aEcbA5Vw+Nc/KRTpJMjWvw2MgojAhPeAi4zE63IFq+BN7K8RbISfuJpJnJCE4RK485SSQYVT4zWsaU7gAxuF0pVi5+EyOPDzsykGHg8DvjM3CLOWmENTgx5YQ8s/bp3DVoR9p0HMPFTYN6IAyphYt4eu8dPoN0xM/RQyOPhTxffhI3ZBezvRXIla/QWi2azEScNbhzQG1EumVx+NiIuHz/f+BF2ds1Kc8qmxxcP/QO3vv3gktOUSU3JrRUrv4+ZgpqeUSirfOZMMhGRuovUOMbvwZbCKphfjH1l7/dFELJFkF8rApcLjPaTq+2FV4sbz3Miyl26rdfqvRJGXwQNag/AOxx3OQ4jxeGxneh32ZEvacSlxaNw+CvRZ+EhwhRCyOUgW2aFm2lnu34ySSCSeEShTFSDvSOZmW9SI8rH4VBiLdj5MiWGFhEbeTIlhu3pd/UQSCHrtpI69AvaUMovYrtMmkasCC8yfXc+J8fU2Fy5uMgrlPrxAWLPzzAY9WmgEwFingOhqAICrh/7TByYToufH7c/gbvrb8Y69WRERCYQ4q+X3Yx7j7+JJ/tboPcuLcSY0MJo30fLzsdleWuwknQ7x1ljsr3j3Qk/h1i7r3SXTyahYoRCWcX4/CGIhQL4Aktf2ZPvsSGpAQgCAXH86bG6awPoCpw+Qa4DCraoUBDWwTPIQU+rA+EQg9J8JSKFLybkjWoNMOh0WFCnli0aqnV4z0e/a9Ifw+Bz4/Fu0pGxsJaiULoZG3N98KAdmWI8oEe9ohYdrskpt4sRjorZLhfSgZIOOoEcJ/SJixqDywUuOIjGytcwgD5DUZEpbJ4garXVONrrQCASQWNeDloSqGuYwujxI+i5EALp23HF40SgdfpnMQ9whSdvU2zUbMNrxkkxMuKdwJeP/QFX5G7Al6puRLZYAbVIgp/uuBbbc0vwo2O7YV8iWtU8YcSO/FqMhIbgjU4ua/KvfMHqbzvfSEqI3Fi0Hlu0S3Q4vcuhaRoKZZXSqzfjYz99PCEhQigolcNy2ulRGIp9nVJcKYMxONeJ0hR0oDnai56SHkhutGP9LVJsvMyccHSiWmXHlfk68HnxDaXIeX3YndgK9V4nmk2ZnX7L5/Ahm2WgNhshRwQFT8HuI/n5hNmALTmF4KUZnSkT6hCMM8wvFiQFsyWvkPUgmU+5WgO9y4VM0mOx4kC3lRUiBEmCKZUpLH4f3uxPZs7MQvzRJlyZO2nsJYcc5b51eOMdL7707EuInLbPJzUe769YixeuuQ3CJSIHRMa9Y9DD5ZSDe/r0OOyNXTy8nPQ64xcAz0chEONrDVfhbIeKEQpllfLgS4cwOpH4VR1Jt6yZqEBZZwman1tofa3WihDeTELx8U+QvkgQPeFRhFWJDxhjuEehkOxGFPG/gN2+K3HKlvhJwbvEjJNkCTNhOEOTok7Gk0GDOhTw16BUuAYuTw7aJ/hwufMxZlexM02OWoegk0uwPbcICkFqgwatruRrTprG9LB7A8gWybBWm8sanJEoTY4kc9b2cbc9PIZNWYVJPUclEsDluAqIpjr4kAGX044snhyBoSLs75zAqMOFY/ox/O343M9gkVyNW6sXb/udgtT76ISTXijDnpUVI95wAKPexNuvv1p3ObLFy9NNtpLQNA2FskrJS2Hqa8fh2F+CQhEXuitDGPAvXXOQK1aC4SRu7R0LTnQTjoyrsDXHDYbbhFeGk/PG8Ecy72uSKw5Aws1Fv02FFvvC9IljnlPrhN/N3sQ8PjZp8ljTqUA4ghaLAZG4GRwGN5aJUK/Vg4lasautCMfHknMlJVh8XvZGqFBr2G4QAZeb0WF7sTC5PFiTlYM2a2JX9j12B3rswMacS7G2dBfASf5980fdKA0U40XrXAH9q/37cUl5OSq1M5boX1yzE//sbWYt0ZfCE5l8Px0hL5whH5SCzEbb4tHnSnwAYIOqgDUxWw3QyAiFsgrx+oNo7kt89sziMKh/rxgD/sTqF8Z8DnCY1KIBBC5TiucH+Rhw28Hl2oDIlth1EIvgC4cgQXJX6Usx5h8CokK02xM/WRDIie+kTY8myxBaHKMoVMqxPpuMw537mrJFXNy92YJC1etwhtvhirZiZ/2ruPtyKyqzUv+q7rfbcHhslG15XZ+bhy35BTFTOZlgzOmClCvCFl0hpHwBNusWdqfE4oTJiv3dlyHgvjil7ao0AwvuI8LvW6++Op2uIegkcny8ZvOS6yuSKeE+3aGlEkjgTnMkQDL0OBP7OyMC83/XXc8WD68GVseroFAo0/iCIdz5h+fQOpC+9waHw2DLTWq0BRfOElnMMlvATccYKogri6S4pYKLKPqxfyz5EDQ5ze8eUoATPB+S6FZIOJkRJoPO9E/ipKvjlEMPtVSA9bpcrNcSYQL8V70PznDbvKUZuHEUH9i4dOHsUvjDYZwcN+KoYQx2vx81WVpsyy9EQ7YOBXIFLiwvxrayfBSq5np7EE8ZbhL1L8dGxnB82AgFKeSd1/67GP0OJ57pjMBsuQaccEkyLw1R8SnkxZho3Gww4i9H53aTfb5hB2T8xWtVvOEQ6qRl+GL1FXj+4m+gQJreWIBk/nb+M9Kc0LK3lG1BoyazgvtMQsUIhbKKCITC+Pofn8fR7vTdVksqZaj6EBfNTPKTSkc9kyfYVIhyDBAL3wJ4x4DoOui9qRVeBqMRvKk34eUhO14fVECG+pT3iRc+D3Ksg5a0dGQIVyiAU/YxnHLq8aVGCSI4GXvbHCHe6NQtub512lzUa5ZebkqsETv5IwY92s0T0LudGPBbcNg6DAvXiS0l+awIaczXoaJQiQ1luezv/CRUyYTHy5rkkX0iPh8KwdLFqqFoBC/32bGrq4bttAl5LwCiS5t4kWLpjSWx35v7DhxEj3mm7iNLLMVtdYunNqwBH94ZNSMckEDGTz3KlywP9byNE9YZv5TFsAY87PC71QIVIxTKKsLu9qGpayStdfCFXGx5rxrj64Yx4E+8qn82RbL0i/4Yho9n+zJzIiAnuWPjEnCZ5Ls3eJCiy+7Hi0NeHDAml6JJFKnQjBAT29dFinqc0C9e47A5qwBtoyb4vSG2vTdZSjUqjHgmi519kTCa7MPIy5Og1TPGtlMTx9LCfCnEGmBzSeJC8+iwAV1jVgTcUVSrstn7dAkU0xo8HjzRFsY/T0XwZuc2ILp0vYY2e+HUZgLpSCLpGuK5M8Vn6rYtWVhMBNvPmvfgqf6Z9uLlNjj7Y9fMnJ2leN3Qjn/0H8JqIS0xcu+997JtU3feeWfcZd566y12mfm3zs7OdDZNoVDiTOaNRJP3txAKeeyVb/U6JfJvCqKZ08OGjFOBOFYymGwRTodoeAvbmZIpDF4XuOHkiv1Iu267qRajnsnC3WRMvZKBy4n/Ol3MSdx9VT/W5ojiWr67/JMFw8N2B7Zmk7bi5ARJnnqhQDDOi0jpPU64QkEYQ072s5IMpJiWE+VACxlEYQHWq/ITlkyjbjc4jHJRt1ZCRNSND24RQMJf2JfRYhzHg01Hp39XiST4cuP54CZwnNZmpR7lSxRvOIhvH386qc/XNYWN+ETl0lOKV70YaWpqwgMPPIB169YltHxXVxcMBsP0rbp64VRBCoWSHuM2N7JVMvYmjuOLMZ+a9TkIbuJh43sLMFDRB0MgvamuREC8ohcjGrkoqSFkswWA23cFnurLfAh6j94CIWa6K+bCg5iTAz5k0zNKZNxCGHyZ9eeIBQeLv1arU4YhA4MCvhxbtQXYkl3AdsdMoZHORA6OjuhRLtagRJ74jJLxQOKvcdTjQJkm2fknHJzQG2Hz+dkiVyIOkpEzfz9WgRdbLwQnHN/Yi+gKofZNVOtiz7O5/8BBtBhnBhd+rmE7TnzwTjx48QdxW+0W1KoXprhK5eqY92eaX7S9iqEkWoivLliDn2x8P/hnseNqRlp73W43br31Vjz44IO45557EnpOTk4O1OrJvu2lCAQC7G0KpzMzFsYUymrnvDVl2PWzz7E/21xe/OH5g3hmf2vMAWAKlQjZm1Q4ZDMAfsDPhGO5uqcEiaq8bpxAvfIiVCg7EGYSS/dwmXx0WdbhmDn9gs1YkCtPXrQK4B5Z8JgQcrw6SNqhlexhkAtEp6+cl7uTgsQZFveD6R2phydohycYwrh7MupUrFKBL+ai32mDwzd3HwesNnY+y+bCfBybMCy5dVJfkwxKlRCMjWE7OlLh/PwS7LcNJvV5s/p96DQ0orZ4cNHlqvK9aInxkklb8/v/8TiuqKrEp7dsxpbCQiiFYlxRVM3eCGa/B4eMQzg4PoSDxkFcVVy77IPx3jR04qmhxEc2XFWwBj/d9IFVJURSjozcfvvtuO6663DFFVck/JyNGzciPz8fl19+Ofbs2bNk+kelUk3fiosTG49NoVBm0CikuPqyepRdmoP6Hfmo354PhVrEnnxqN+XBURfFMSJETtM0OgENL7MTPzucJuw1FoCPrYsuR/w7IqGr8c+u/GUTIlOMumJfgwWZmegAc7rANBPD7pbilnIRXOHFC45HbdGYk3oHxm3g+DCnQHN2rUTAH2EjKBqRBIUyJWT8hakOIiiKJYldKE7RYjVgS0libbvzEXF46GgdR61Diw2S5FIgPC4Q8W+PO12XINbtxs3beODPihxNQZ72em8fPvzEk3j/Y4/jhc7OObUk2WIZri9rwE+2X4O33vtFfGvDJVhOzH4X/u/kcwkvf2V+w6oUIimJkSeeeALHjx9nBUMiEAFC0jlPP/00nnnmGdTW1rKCZN++fXGf853vfAcOh2P6NjKSXkEehXIuonc58YVdz+GY1YAD/lEcCIzCWBmA7mIN3onqF0xXJUWe6mDmWwXd4QBe0rsRCMf+YueAjz6vCAPB47i2KoTz85M7MSZLm83MpmLmI+PWpFT8mQ4qIRd5suOLLsNE+RiyJT6obzYdpglEPQycdj+MZhdyeDJoxQuLQYfNzjj1E5Nn/XW6bJxfnI/qXDEuKMln72tzjbGeKQlzWkCsUebAHwpj1OqEPCjCBeJSrJHkxK2Hmc1BvQWPtXAxaLgeiMbftkDzFm69MIC6/PhFqiRVdOeLL+PSBx/CQ0ePwTUrGj9FLEGTyYna/9P8H9iCiU2cviK/Hj/b/MGzehhextI0RBTccccd2LVrF8QJmuYQ8UFuU+zcuZNdzy9/+UtcdNFFMZ8jEonYG4VCSR53MIgHTzbhwZNHWb+E2ZA5It2O+LnpptFx1FdkYSIyOZAuk0h4AcQqz2MQRp44C/0ePcYDRsjFxLU0G/7I8hSLkgF2QqYWYc6MCOBBgteGokmbq6XLx6tD8EcXWu/PJhqozJhzKilwzVfIsUNXhBATZefokNdsdHmwrayYbe2dzfZiHfgQIIwQTjgmjcX0PjvOLylD06gJHpEfa/Ky0WZcPJrFYYCGaDYcXj+Ms9LuJ3pmjPnObyjBAf/k9nngILLIe7F/1AIh72IU6vYA3Ngnc6kyiPzaJmxsLEXYm42eUR6ahxZGusZcLvzkrb34zcF38KG1a/GJTRtRqErevTjZzhmT3wVnMHYH1XyISP5Yxc5VK0QIScm+Y8eOwWQyYfPmzeDz+ext7969+M1vfsP+HElwqNOOHTvQ0xO7DYtCoaRGlGHw91PHcfHjD+L+Y+8sECKJrkPiy12Wt2C/yQ8+YrtfamYV27rDblxRsrwnA5NnbnQgAh/ypCs732OdRoggc3jJ5XyezKapDS43mob1aB4xYK0qB1I+H7U5WRjwzRepDAQcAStCWh1z00i9HiNbF2QL+HDKa0BBvhTbyvNRm6uNOSBxu7oQ/SYrLG4vbJ7YJ+DWTiObttHyJdCNSbFGnDPncS1fim3hycgdkSlvDFkRDa6JuS6SxhnyTgodY2gIZsExVFT3QyrknH42E1PEP3TsGC79y0P4ygsv4qQhfdPAePy49SXc0fRPtNr1CS0fBYPPHPwbHu17h42orEY4TBKvzOVyYWhorhPjbbfdhrq6Otx9991obGxMaD0f/OAHYbVa8eabbya0PClgJbUjJGWjVC7vlxSFcrbSZZ3A1U/+PSPrWl8lgCGc+Pj6ZNiZnQ+16B1EMXlSUgqq0eb0IhANTi+j5CtwYCgLgRTalBOBTG+9tFANht+JECYjE8LIpdg1ulIpYQbfWGeGM9y15JLDAx/Ay22ppWkS4ZKcUgSCIUDAQZQfBT8vjDA/DA64CDGhBUKEoOCLoGQ06LEtjOooBSLUKHUYMrlgdnuRJ5EjPBaGJzDz/i4FSRkVNqgg5fDhGA0gnB9hp+jae3xwlgSmoyalSgUuqt21QACJuAoM+hZea2sFueCCDx54aOsoROuoZ9FYGCly/czWzbiyqgqZgpxyT40/Dod/CIM+oMsVwYgvCkOAwZh/4d58rGIHKuQ6NipC5httzS6DThy7Y+jdSKLn76TSNAqFYoHgkMlk0Gq10/eTeg+9Xo9HHnmE/f2+++5DWVkZ1qxZg2AwiH/84x9s/Qi5USiUzHHcOHklN3Xtlyrslx4W93RIh3fMBuRL1uN8XQiuKIPj9oUCwBl24YrSCrw0kF6bcTxI98hrIxZs1a1FvmoYUSaIt8b7sCO3HIfGE7taTYf3l4kSEiIEo2OZ5pkywHnqIhxumZuaWbszC838xe3/XeEAXDBina4ILRNzUzTOUABHLaOQiYS4MLsY5n4vBgOJ1UVMoZKKwTBRMDbAaHdB4uFDLBSgsSoXR0Kj2BYtgFnixZq8YMxIjISnJf1kC+63hGYEdk61Hj/aeSUKsQUd4za0GIw4aTTC4JopZD4+NgZXYC0yStSKNZxfAmIPziPVDrOc5tuDV+FTLVr4TmflyuTZ+Maaq1fN/JnFyPinnHiIDA/PfLiJAPnGN77BChSJRMKKkpdeegnXXnttpjdNeZfTau+DO+zDzuzEImiU5Li0pBz3X34dRDwevrDr+ZQOHzHL2lIpR19o4eCxTGLwOWAL52DQ2x53GR8GIOdr4Q4nP7U2ETbr8jARtqJ9jAEXQrbLqMUxgC26MhydyNSQwYUo+BwUK5rhS+Blkbj1gCXzHT0CDgebpHk40bVQeLUftkMhyGZ9akpLVDBqzRhF7DojpTi+aPWEg9hn68f6vHwgSSNfksqxtc+kc3yhMHsr42pQ685Gy7gRZTo1JJWxRU48N9vZRJgI3ph4FRrBEXyo6sP43Nbr2TbeCY+H9SMh4qQhJwdX12TWE4vx/J78E/OxBuEuPLPpAlxzdDI199nqC88JIZJ0muZMQdM0Zz9vjh/Fr7v+CT6Xj99t+jqKpHPzwZTM4AkF8aMDe/BEZ2oW1ueV5KGXG18gZIqt2To4Iz0IE2+TRSDpGmG0AruGbChXSuEJR2D0BiDkchBMK4XDYGteDtqdozEFWZW0GCcsMwZZmeT2hihCOJjQstFQDh54bWNGt0+m6dZAg67RxKztN2/IxRFF95z7ymRaaARy9JpdGPcuHvWQc0Vo9OehddC4aEtuKly9VQl55YsxHxPyGjHkTTztViu7HOM+IkmjbO0USYl8b+0tGZ1NQ063zMT5QDR+we+/rDfjJ718iHkCPHfpl1EgXd7usrMyTUOhpPLH9/jwLjwy+Ar7e5ZABTlfSg9khhmw2/BI2wk81XUKrmDiufkFCP1A5hzY58DncHFJfhbCjBcjvo6EnkPSNcBJ7CwVIRANYL2Y5O6FiEYl+E/f4kZhsRByudickwdwomhxDMXttun36rFGk482W2qzeeLRoBYigvi2BvMJ+RaZfkxO7El2ImtFEmR7xeiaSGLGTowLcxlfjAPDidUUuaMBHBIO4byqMjT3ZLYo9LUmJ26SXQxu3t4Fjyn5iSsfMoxw19gAXOG5EZU/9+zCXfU3IGNExxcVIoQGOfnMa+CPhHDtG/fj8vx6fHPN1ciTZNYD6N0GFSOUZSMUDeP+7n/h9fEm9vevVt+Mq/K2Q8ClH7tMC74v7noOndb0zMLy5XIMhBevFUgEElm4OE8HayCK5ln7dF6ODgPetpTWSYQIYdg/OUFYwZfj/PxyHDDYkzoj68QytDiXTkGFmAiMwXHUqLTodmSqzZnBtSUGOMOJqz2Xm0QQF/pf5EpkEFiAkjw1OeCIchi2qNMYcGPk9Byd+RRLleBaGAw7Fm8lno+XGK5J5x5mSxL28VNEs4C1G/JhGHTAbE+uhmQxXtjHwU1XbURUfWLO/c4Q+Swn1gqr4lXAFV4obv89/A6uyl+PRnVJZnY2agVknwF8zwPR2EL3ufEsqIUS7NRV4sKcapyXUwmtaGU7vc4E9KxAWRZcIS9+2PYwWhyTJ49aRQmuzT9v2a2VVwvhSBT/aW7HK61d6Juw4vs3XIZL6yoXOGw+0NyEZ7rb0O9Iv9CzIk+EnjTrM+R8AbbohBjytUPKk0DMVcJ/2mqcw83cWAdP2Au1iIdtuXk4Mj6eUI3Etvx8dLlGSR9vQvgiIdg5dpTJ1Rh0J3cCj8UNJWI4w4lFhKaYcErmiBHiN7FdWQCPJ4gelxkW19yTOvnz2lpXgCbr3JoX4rwaNATh9C0UNkvRMTCBzboqHBf2To8aMvqdEPFkrG9NIsh5QrSYxuENhSBQcrGltADNJ8dStpOfDXFQffmtLFx/bRnCwkmreA7Dg4xfA6AvoXVE4gx2JEmbn7Q9g7/v/HJGLqI4ggaAIwfj+UvMx6O8aryv6jP47paCc6ZWZIpz69VSVgSDz4yvNd83LUQIXa5hPND3n1XbI58pyPF57VQ3bvzdI/jf/7yOg33DGHe68atd+xd8Ad/xxov4ZdP+jAiRcrUaPaGZ9ysViiRyrMkKYcQ3GV3xRnxYlx3CZQUKXFGggzeS/iTfKXIEa9FkGYU5bEKZYql2fwab83LQbB9gBUYyuMN+hLgeFErTa6WU8jioVJ1M6jlRxxowFhlqlFo2JbM9qxA7VIVo7hlDz1jsKBj75+WLYlvWXKv2RkVOSkJkiuYjE1Ae1WH9WDVqmAJohFIEIolHeBqU+awQIRADt3cso2jYkIfUDE4ZlJfIwefNCJl154sxEpocoqcSlCDCqUC7KzEhQtAI+XhvUeyRBf3ucTw6sDANlCqM79m4j3EFtVinKTrnhAiBRkYoGaXDOYjvn/oLHKGFvgjP6PfCGwngqzW3nJN/bEuhtztZAfJO39xWS4I3GGKFCoksmbwe/OSdt/BKf2aMA3VSKaRaOzyR1IVio1oLLm8E5nnW1paglb1lEuI30emcDKnbgh4o+FHUqLPQbV8oykrEWpRoJDjhSPzENB+yDZ2IC51Yigl/aumFT9Qw8EYSS6MxYTlee+4qWFx+hCOTEY4ihQwtHYl1+JwanIwUZRVLYD3t8Om1py5EpnD7gzjVZwK3n4MdO8qhTzDqIODw0Gte+Bk4Zh5DbUM2srgSdHWOwx9cPMpSU6VEdgkHI4wRppAZugoJyrmFCNi56A4PwG8LoVq5CT2eQUSY5OqJtmt34Mrcq7FRU46ftf8Hvsjcuqu/9u3BpblrUS5Pr/CeYSKA75n4C/BKca5CxQglY7w90Yyfdz6GYDT+1eerxkPwR4P4Zu2tq3LY02xeaumCTiHDhuI8CPnx/9SIyHjq2Cn87NV9cY2hDA4XfvzaHhz1GtBsylwRYK5Miqw8DyYiqUdXLsjJhSnUmbADc7oQ0/ZyaQTqSDl6Q5NFh2HeBIrkaoy6J0UwH1xUSXPRNmxHHj99g6iJgAsKvhjn5RXimMmIQBJTbquVAoC7PyHzFyaQi9dfugDj9rlRpPnpmKWQigSoVmSRgwVOGGw0JVOQTpPOVgsuqCzDfiw+QZewXl2Io6Oxt99lnxRoBeUK5IskELq58PtDrOnZgH7uZ9KYPwB9cMYW3xn24SR6J+tZTr8dJywylCqzYQ2Z2BRLopRJyxFlonhPwUbUq4rw382Po89tnFNDRNI1f972OXDTuZAKHgKii/z9RobBRL3gcM+9In/a2ktJG/ZkOroHf+lP3Nvioa3/varbe0+OGPCRB59gw+YiPg8vfvUTKNIsrIY3OlxsNGR/79KFo0TYjCic03n7dOBygC0l+ej3TaBOo4ExPApnkmmUnbociPleDPuWPiFlGonjPOztt6Cs0g9XdHK/qyUVMLuirDixhjzg2mVsaoBEfiK6cVbEZIJGZRmOmBI/uX9jnR3O8KkllyOflfa3P4yjPenXp2wqL8Dx/uXzSpmibrMOTbMmDgvAhZgjgIuZicSU8LQYPh3JWgohj8fWQpGP+DpeDqx2H8wOD1tbor3IDv8iFzpTfLziInyh+jIY/eN4eOBBjPgWRhpjIeKK8Z68a3BDwXvZTpb7Ol/Ef0aPzFnmG/U34oMlO5EqUfvXAP9LMR4RgKP6GSC+AoiMgsPPnOPr2dLaS2PllLQgxkG/6fl3UkKEkC06u3vnlxJnP3zxzWlPhUA4gn3dg7B6vOxjr7f3snUhTx5txY2/ezQhIUKYcHmwVpH+3Jg1udkoyZfiqH0I1oAXB416jNkEqBHXQs5L9IqMgYjvPiNCRMSocHDIjg35OdNChCDh8WAzR2AZj2K9ZLJ+gDDh9aJakKFuCAD+qI+1ON+UnYd16skJtvG4pkiUkBBh1zt2RUaECMEXXKb+7HmIfXyU8NXT0453hEpQybqfkjoMCYqlauTIFk5IjgcRIgTyp3MyYkJhoQo59UrUVekSTu0+PnAAYz4niqXFuKvmmyiUFCX0vEDUj8PWdyZfF0+Ab6+5iRUfs/lD96twBFOrfWKiDsD/+sIHODJwNA+AIyGma+JVJUSSgYoRSsp4wn78b+uDeNmQmIHTFMRnRMwTrtojT+o61hbmzbnvRy++iRt/+ygrRL76zxdw579ewvef2w2XP7lcvsSffGZVJRZhe2k+tpbnoqpIgQ7/GIY9c096/kgYBw16jNtEqBXXQsZbOGZ+LhzsM3hRLiUdCysL17UG/nAYU4PDxRwRsl01GBiJsvU0pMPj8PDYdMEkwevKXEa61z0OJ2NFp3sY4SAfsjifZTGPgzpNYkKEcPj4LF/wNJEIl8/Ofzbt3SZkj8uwhVeEC8NlcNmDaA5NRmTWc/JhswdxMoFup3gcco5iyGWHriIKTySxv5UwE8Gv2l9ghb9CoMDXa76FAvHcgt75FIgLsVmzBTKeHK7QTNfXB4p3oEYx97nSVE3Q/MScbV4alpsFTtaj4IjOx7kOFSOUlDD5bfh68/04ZutM+rnusBfvmBP/kj4b+dqV5yNLNveEbvF4cccTsd0iE6V9xAQN//RZeBYlaim2lGjAJ/mXWdTptBCpomiyD+GYdQT9rti23lOQbpMDBj3MdglqJbWQcON/8ZKkhy+8Mie9KYSMEgcHJ4VUp8GJWtRD7S5D+4QZfbb4dS+t4xPQ8TMbjZPzJGieMKJIkBPTWfQT1YAnsvSJmIlK0D9xE/TWzA3DIy2+0hUQJPVVOZCpBOg4bkJzmwFiMR8Vgixs5xWjv9sKMZ+PUBL1NbHIlong4bhRJ188upUrzEeRuAhrFJVosVrw9PBx9n6lQImv134LeeK5FwizsYfs+FjJJ/Cd+v+BQqCcc2Hxheorp3/fnFWZcosv4104j42jvBccAR2PQaBihJI0Pa4R3HHi/2HAk3oh5S+7HoPRv/iJ8WxGJRHjsnm+IJmAtPQ2SHRz7qvLVUKos2KY24eSCg8ubVRhc7EG28ry0BcywuxPPqxM5oocGNPD5pSjTlILMSf21b+Ql2R3CcOBhlsJJXdy9kay8F2NbFSEYPH58Hb/OFrGE3MTzY7EPxmlQrZgUty0WsZRIshFo3ImHVAuF4DHO7zkOqKRPLzZ/x68PGjPqAfPsX491HIJagqyIRMtnyg52WlgRcgUbf3jmDjmQd8pCzjlfJh96ZubBcNRdA5GwPjjC2MiBofcVnQ7TWiyjGDC78ZPWl5Bj3NSDKoEanyj5m7kiGKnOUnb+bP6p2I+tjO7FmtPm55tz05tTg0T6gRipev4M+nEcx0qRihJcch8Cl9v/i2swfQMrMjAvK+duB+vGQ+zVewrQZ/Jgj/uObTs2wmEwvjDnkN4rjk5g6tEMZncbFK9JkfJCg+XdATOkHfaF6PNPYARXh9OOfWstXk6uEMB7B/Tw+VWok5Sww5fJ9SrsnB5gQrDvuQH6h0f52HPCMANxvZ1iIeQUUxHRVKhw2Cb3v90yeIrEPbPRKj6HFa0GCfQKCvBenkZEMxC89iNMNhuABON383TYz4PHbbJ10Q6SDLJmM2JboMZnmAImysKsZJU1ejY9EomcAZCMHsCMNjip2nIoWtQzxWbgWgYdzX9G97wZGpELdTgG7XfQrZwrpif4m3zPgx4+mOsm4Nv1b8PNxVvZ4VJKjDx2nl5i6ePziVoNw0lYZ7T78Ofep9FNK0B9Qv5dv1/4dKczcv6TuhtTnzswX+xBmI/fv9VuGnTmmXZzts9g7jnxT0YtmbmizgWFcVyKOv86PMuHpkKurPgDCU2p6ZCkYV+15QXBIMyhRqFShlblrhfTya7Tp4od+YVokhjx7A/NVt3giK6Fa1WJzsnRaFoTvh5Uud5eKM3Pcv7HVVadIYWnnCSoUFSiRNGC3zhxAzUShUKXFvVCh5/UrhFwyVgGCFOjq/HQcOM/0Z2lwyBwPIUnm4uL2SjJcvFVButWi1GaY0SimwhRpweKOQ8gOGiqd+I+TY2pJaJOA17ZtX2LDZwh8wVyit3LvAAmaJSXoDWGCMR3lu8Hj/ZdNP07+bABH7e9VNYg5aYLb7/Xf+/6bXvzoNhgmBMFwLMvDQiNxvcnOTq7c5G6KA8SsaIMFE83LsHT+lfJPI140f2zfFjuES3aVmt4u97/QArRAj/99wbKNWqsak0vavFY0N6hCMRbCsvRpfRjD+8dYgtUF0uSDnIzvM1aEcfJrxL5+EbstU4ZIg/6E3C46MxKx/jPheGPTb29watFvaoA0afCROn9dT5hWU4oCdFiRy8Y9TjUll6QsvFbUJZNpKOirwzmPxgvPnYya4n3tyxgCKRDgdHk5vmO+Ry4dFTNajTbEKxMoQ9IyE4An4wmGsExp1X75NJnF7/wjvJ5jL051zXmI1hjRkujgNHI2YUhzXw8iPosk3+zW2sKAKf4cPD+NiaCxK16HGasFlVinf6J4/nlpJc2OBC0MnDiH3h7BsRn48qRR5a7bFbdXtdYyiV5WHIM/e4PjdyEtuyy/G+kg3s79kiHb5Zezd+3vlT2EJzlx30DmC/+W1cpLsYGSNqWShECLyVjVa926GmZ5RF8YQDuPv4k3jb1I11mhpYI/0IM8lZai/FEWs7/jn8Oj5QdAmMfis7Vr5Snlg7XiIQI7E3O2fcIkORCG7/x/P4+c3X4MKaxHO25HlE0IzZXXi1rRv7ugcg4PLA43LY+THLSWGuBNlrg2jxzR3lvhjG8BhyJUqMx8jb50oU7Ht71DwzYr1OlQ2RgIHRPvek32wfxPa8Mhw2TkZiQqeH1q0kAncjvOH0a4w6zRY0qnMwGkptGq8wTLxikq+DcIeCOGqy4ugim1VsEqESWfAYgxjot7L1NZli2OrAutI8tAxNnvhr8rPB4XLY1BApdE0majIVBSHeH9X1araDxqZzw+r1ok6jRY9rAmNeO9aoCmHyTYqRZvuMF8lsBvwTbNH1lvJcHLVPtolXq3VADL0r5gtQs4gYIRRJsqAWKKH3mWEOzBQE39PyEjvA8fqidexFj06Uw6ZsSITEEZrZmIgrgoCb4Robbh7A1U6KktnQFM0caJqGEpdxnwNfafoHupwzV4IbNIUwhpPvoEkEIVcw7d66UV2Dr1TfjEJp7PxuorUbxNn0oX1NMJ6Oiszncxdvw5cv2wk+b25YNkKGb7V2YV/PIMbsTvZmcnlY98kp1hbkolWfettiIoiEXGzcpEafoD8hw6f5VMnzcWiE1PcsPLGVKTSTvg4cwOB1YquuGBxuGD2eUfbKdc6yogK0WSe/THeWjSJKbD1XCAEjx9FTpXNaddNBLRKjuBgYCSX33uUKNeg2BDOcpJyBCNupzhPi0VEt0SJqYdDfY0UolJm6KrZ2hAGODcyIDyJI1jXkIpofhP6EDxbzpIV8PNRqIbhbfJDwhDAHXaj1leIwMykktuUUsxN9JTwRTlkTO74lMg0bmZtNTkiLMefcwutihQpfu2gd7m17Lu66pEwuDD4ntuuKcdy20ANnW3YZvrfuepQrJkNzBt8YftH1UzjDTlTKqvDp8s8hR5x5M8ao7XNA4K25d8o+A67iW1jtOBM0PaNihDIH4jzYahvFCdsQnhw8wtpgz0bKE0IpsS5LumY+F2Svx/+uuS2p5xARMWyxsyZjD+8/yhqFLcXWsiL84pZrkKOUs94Ee7r6cd/uA+gxLX4lLhHwUaxRo3s8vTqG+SjlfNTVKQC1H/0BAwIpiJDZrJFXYe9I/NQCyY7NrnPVKckclbl5edJWeey0X8S2skH2OSuFzLUTu3sy23l1fkUe2iJdST2nRlCFI6ejQ8tBvKyJmMdHvTwHIjcPQz12uN2J1QElCmnHle4MYzzgQo0sF/27Jh1PF2PTxdk4yvShXJoNszcEcyBzQxAJW1SlONQ/I2aEXB4+uXYjbqivwKcO/Snu8yplRRBxJfBFPOBxhGixjcUUfZ+uOh+frbmQNTfT+/RosZ/EVXlXg8dZnhEVjPu37G02HMX3wJF9DKsdJxUjlGTocRrx6MA7eEXfguC8q+L5rNNKYQoub0SAUBAsR5a1CrdfthMVuqyEnrOrrQd3/jN5Lw/iCXLX1Rfg38dOoXkk8RMOyWOXa9XoNKYrSBhsXKuBND+EU56hjBYJk0Flkkge+h2J1Vycl1+A0cAELLPC3LXSEhyfGGe/yDeVpj50LlmEjAxHT5XNK3JMnwqNBvlqEcCNYpQxwBGJ7/FxZQ4X78ltx1/aN+Ed0/KosETLN0gUo1ahgyYogXHAhYmJ9EXA+su1ODrLSXcrKnDigGlRQVJcKoe0kYGII8aQ2wajb2GNR6rUSvJgNUdQrFRhzOvETbUN+HjjRuikMvgjQTzY+yYcQS+cIR9a7MNsJCYeWqESeWIt/BEGrfOESbFMg/9ddx3Oz1l+x1MmsBeM7bNz7uOo/wyO+FKsdpxUjFCWgkQBDk704pH+AzhkTvwEc15OIfp9y5OqmY1uYAuO906wX8C/+tC1uLpxcbfPI/0j+PZTr8ZNycSjOpdMnOWi05iYX8V8yOyZiuwsdBhSeT6Dzes1COda4In6Ttd3ZP6E16Aowb7hxOta8qQyFKnEGPc7UCzNxkE9EWgc1m10TXE3lEwJPDBCGS2HnZ9chCEZZO6d2N29vH40Wwrz0BvnNdQquPhsycuIMB78pfPjaErtI7Ik5Mo/mII5WKlMg0KOEg69D0ND9iUjGvNZs1GLZsnCdMYaWT7C/TyIZTx0nbKxXS95eXLk5EsQ1TDoDU7AHppM5ygFIhTJ1Gi3p3+B0igtQsuAZVqYlas1+PcHPwytJPaYgj7XOD596E9s/ROBz+Hhrvrr2LoW8thuYysrWkjk7+rCQgy4QjhpmVuQck3hGtzd+B7oxOkPVIwHE7WCMe2Ycx9H+yI4gpV3MF5pqBihxCUQCeEl/Uk82n8Q/e7kv12Xs25kCkVEja631IhEJ7+WSE3H7299b8yCU38ojPte349HDp5IqeXx6FD6LY9kwFeVTov2RbpXZsPhMNi6UQOvdgJjgcmTrZQngpQrg8GfftfIfEqlOTimT92AinyZb1WWYdjsYruryLwXKZ/PWq9ftsEFNzfzbaMCRorjpyrY4s/lZmeVDh3BPjb9eHMRB9tVr4LLVZFLWoSik1GvP7V/HCeWSRfJ+AJ4EmwVjodOLEOFMAthcxR9vRZEwrFjLeREvemiHNhEbvR5JpaMwmmEUjZaSozwyDTkSHSmtmUKMpumTp2TtiCpihShyzz3IK/LycVjN90CuVC4wACQSK8jll587dgjrBD76caP4OLchulldo2dxHdP/ov9+YI8PjwRNzrM2bDOm44t54vw1frL8OHyrQnPwEmW6MRl7BC8KTg5x8HhyrHacdLICGU+Yy4nXh3uwCP6PbClOOyJwOdwUaaKwh3JXGh2NtpwPrxduegem1vURgSJWiJmBQr5IiI3UiNCrtpmF5Ymw5rCXJwyZCblJOBxUZOjQ9vYOOrydeiMESnJyxajsloMm3wcxsDCdr9CSRbsgRDK5dnwR/3sSSAc5WDIk95ZUMknluOp58PXyYvQPBxbuDboslBYNAg3ZxzgZM7ATu7egde7l7dLaTa/unwcYpETAuYQGCwUBgy2Y9idj4PjCrw1ltnolUoohiMYo/02RWR8IepkOvCdXAz22OD1zryeDTt1aOKk5rWSJ1Zi1B078lguz8KAO/n3S8IVoF5SCKs9iD5rbEv/Oq0OeXI5bH4f7H4/rD4fXMEArqqowu/ecz1e0B+FVqRghUggEmYvUFRiMRv9vevYo9g/0YkL84Uw+MdQKqnCC4Pk+2/he/jUJZ9HvWrx4YepErXfAfhfmfyFowI3twnnAk4qRihTkD/Ix9tacM+Bt9CQq40bkk6GnboiDPgz5zAqjkrA76pDKMxgwGSfjogsN3wuFwIhD95gKGPrq87NRrdxArlKOdsGrJLzsW6zDA6hBaOBpWtLyBWekMuHmCud056YLm6nCv7TU1GTQcoVQuyVwexdPLJCWievXiOBTZR8hGo+fEaC5rZKuILLHxUhZIkZ/OyyfyLKLC0I+FwdPr33PRlNp2WJJbD6F+9iSZUiuQJcUZDtxiIn6vmdUsmgEIhRo8jFCfMYm1YiR4CkUUU8PmsCl+xfrYovgdipwJgr9QubG6pr8f+uuhY87mRE4wf73sTm/EJcX1073RX4y85HYQp1Ihid/DxpuI3YO8twboqfbroJNxSvn/PdmSn/I8bzEBjXzyZ/4deDmx2/K+hcFCPUDn6VY/J48KmXnsV39+6GLxyGN5je0Kop2u0W8DJgU8OJclHm2ADLoVJ0jFrRa7StiBAp0qiwqawA2SpZxoQIgURrOgwmbCwpYIVIQ7USOdsdaGO6EhIiU2F0En0iJ45MkidbmHcnAaVKqQ5bZeUoieZiq7x8wTINksIlhQiBWM97vLFz+8ki9q5fMSFC+K9Gb0JChBCOTmBnbmYjI6TIONPUZ2mxJT8P+WoxTAEXnCF/WkKE4Ar5ccw6hI3ZBciXKLElu5j9rGaL5EkLERGHjyxfVlpChPBCTxe+/eYuNjq6e6APfzt5AscMM2nDLJEUplDHtBAhBDj90IkXzrrpdU3gka5jcJ6OUn2/aRdOWZIzuYuLYO3Mz9TwbAHU9GwV82pfD77z1i7Y/DNfsk4ysj4D5wtHyAeNqAgqoRPWeS6GiSKNyJHjrsTbR+JPW10O1FIxvOEQjg0vbPvLFM0jY7j8Ui1ORtoRDSUvrtzhACpkWSjmZqHdkZn91IhEGIRrTurFaPGhx0Z8SCZnDQ3a7agp0qHXO8HWAWyWl+FIEsfp4KAVlwl3gCu2wM7rSWk/BYwEhwcyFxFKhLU5bQvsyhfjs3V7oRFdiJeHuSiSAUQ/j6UxE44Y52WSHQX5aHYOLZhYnymIIMmXqNB02jRvvk/IkjBANbcIJxP0IlmKpzra2IuYt4Ym00/HZ4mRPvfgtH/RFN6IF9vzOHhxcK79fLNZj33DTXimvxWfqN2CR7uPY+9YP1649jYohQunZScFv2Gmb4qKkQVQMbIKcQYC+MH+PXi6c+H8EDLpVMhMekuky6Dbgi3aIljn2VovBp8RQYdiMD4lRtr96Do9JGwlcfkD2FBawBZi2mPZZKdJdpYI5ZvDOJHi/BYZTwoEs9E0ZselRWS6bWbEiEw08+eeL1Kia8wec75K96gTFaeHjh1OUrCFolG81mljv7jXNQoR4SR/NhR518MZtILHAS6oEGNvnz+h2SWpsi6HQYSJMVF1EULRIby3dAgfKK9BJNoHLkcMg+9S/PqkBrZg8vtHoguZoFihRJaCNylElpkwk1qUlUTjtogrkxK5ifBsV/v0z9c1zIiRU87YxfbDvn5cXrgWb+hn6rHcp1vIT1oMuOvgC5PLue24+9DL+MOFN6WVsiHFqgy/EuAowZHMzMqhTELTNKuMQ/oRXPPE32MKEQIZv14jmhyHnQk8p8e5L4YW+cj3bwLPuB7d7XnYeyqAfX0TyMsn1torD7mCIg6ULq+fdVFVxAjXpipCLjhPDdl6E/r8qXWXCDgCMIFsDLhsUAhF6HHHt75OBi64bMcGGTZ2XmEO8viqRQe99dtt7C1VnMEgFIF1ST+Pz4hxeNCDLcVifOJ8H2S6Q7hl40wXxacuCM75PRPcUpd6v2442g0GEbb1N0f8In61c3fSA1/kfCFrz8/LgMiSCvjoci6/BxBhfkdNomyVVWRciMxHJppJiW7WrGNt3mPhinajQCqZ/p1MIycmc7Mhv4+47GixpG94x1H/EZysf4IjmOn4oUxCIyOrCCJAvvHGq0t+FRqMDPhZPISRfv1Il2McGmEehMJxMHFcWb0TeXgnhofHcNAJUnMWzVwDRlKQ7Z4aHUeJTs1GS9KlZjPQ7u8E0kjLk3BytVKJArkEE0EzzKE0Yv+nKZBkIRoR4Kh1AOVaBVocw6jmVWC52dPlw6UNa2EXtCb8HIl3A5wBKyp1QhjDk4XWbtERfGLHRvhDAhjDzRBLpLiseh38IZIWSi+yxQGDAsUxZMhtHaGoAVcWAa/HHsUCAYeLApkSapGErS+yBrxw+oNoGtez9vx6rx0hJvWdIZGplSIpMcIA64XFEPiECDlWojg9jAgTAo8jQLmsFHdUfw6/6PodLsu5AFwOD6+PT1qz+6MBbNCFYBgilVocmIJOnFdYg3plATZlF6FanY1CmYot0s0EHH5pRtazGqGRkVVEl8Wc0DWZ3uVCHa86I9skHgWkKC6eECE4A7GvwPVuJ6obcsAj8fgzANnjdcV5GJpngpQqYfPMFVaqkO88nsCDDk8vzLMGeCULW5gqy0etvAxDLjcGPRb2fdL7JqMdEYmbnQK8nJAo3CstQWhCaxJannc6KkIEgkQ29+p+AifgEhyZXG/UC7H2EIqz0j+p3VgdYQVEJrm5/J/4wwV9UJ0O4JCI1KbsQmzQFoAHHoacDpycMKLNYmILzIl/B2HQZcMmXVFaEZJgODMF6pkUI0UCNepdJWhts+J4vxGtA+NoFOdgh7YIedLM+2xsLeQgiBMIRWeE/EbNWtxW/lFkCbPwqfKPsuJkKloy6h/GlSUM1muyUSbVwRLw4U9dB/BQzyG8YxqEO7TygyHPRagYWUV8eM2sau0laBqagI6vzsh2SbFlgSj2lF0us3iXQLPZiPK6bAj5K/tRLMvWoK5Ah5P6DFXKk9x0hwtCpD/xs80xiM3aEhRLE7PAn42YK8BaZTl0Qh3a7BM4aRtla2PmY/TbM3a1txTRcGIiTeZbD0cggJs3imAKLV3zIBEFIBdOvgaViIvbzmMgEST3mq4oz3xtBYMweJwD+PaGCazV5CMYZnDcNIbmCQP88zqkSAfSbA4bRyDni7FJm9p4eWJCt1JMOsbGF4Q8cLGdW4mJzgi6jHN9crrGzTjWPwaLwTspSDIWLGHw/nWdbOosHJ3bKn1l7sW4LOdC9udiaSE7HXwKRzCAdrMfnVY7Wq1GdncOmYbwnaaXsP25+3D7gaexZyy1gmxKYtA0zSrixZ7E/UPItFZNIA8TvMxEBYLh2C062Z4N2G9b3JW01TKOLfUFaGvNnDCYDTnnVuVo2doQMjbdEwiiI0Xr99kQB9JypQZKjhB+VwjDYzZU2ivQoe5KO9rUYh9gXVOTrQvJFeWiyTLZ4bAY5dJcGKOTHTTLzdGBMBrq5AhxF3bIKPhSVMm17M9BmQGfIKPow4aETk4ebj/eszUKJUrh5YxhPGzDR7Y14uEDRAAvLUpUIgZi/hG2E2Y5GHJp0ZpCWygxP+uxm6ERSWALJOc9woqd5Zn1FrfwNhzDcLBakIOQgY8m69KvX+TlYUdWMULhMEZDToz7UzdkFHABb3SykHV2ZGQKtXDS56LfPYTIrAJcIUcJV5wICBFdr452wh704dKCzESUKQuhYmQVkWzBYTAczdgXF4lriCCGLkT+WEmuIQybTYz9Y4nZox+dGMO60hz0DGVuAm6RRolctQL9Ziu6J5ZwMGWAxiwdZDwBjluN8XPvDNCQlQ1ZkI/O/nEMjMwVNd5+PrAp/X0nV8dqoRwCji3hGoIGZRmOWhIreCUZ8pXC7PNB5l2LsLoZ1fJsMAwPJx2D7B64wh64wlxYgol9TmbjiUyKKS9mirVN4W6sr7gQHmcEvea5QrtIpcCowzktVCa9RZbHaIww6NJMt0wniysUxEZ1AdxBQ1I1JIFwGNzM1vcuioDHQ3hWEbuEI8DaSCmOtRkS/oSNOVzsjSDm87G9kERZGRhCbgx7Eh2NwOCj6xk0FjbBd1pjHJq4H42aD6NIuh2ced1KF+p2oNvVh92mvezvHPYbbPHjvCHFaBUlMagYWUX1Im0TyX2hkxAxuahJNVpfKSiGOCSH1R3EsVEHfGEdgNkngOTMjMwCH5uuYUVSBhAI+AnNnalVayFyc9DbPiksKnLV4Gn5UPFEYIIM2v0WhCJhrNPkwTruxmB7fMHU3WdBSaMO48L0Ii/usJ99bxI9Ea1JQogQut1jEPHVCKxQjUGWygknz45B76QorFcWwRxgYArYIOdnpyRGYiFCCU7ZJ2tANlUUgAlyIRLyEI4wOOkeQXVpFmQRCZpHx7EhtyMpb5Fk6U1zxNCJiTFI+QKs0+bAHw6izT73GIl5DPwRzoKreCk4GZ36vBhCDh++0xXba4VFmBgK4qjLkFad0fGhyU4bXZ4sgWcwuLEO2FneAm+0f1qIEAzeY+xNIShEvfr9qFZeAxFvxgH0E2UfwpjfgHZnNzyMETWqOnQ74tsUrM8qSPl1UZaGipGzGF8ohJf6uvF420kcNyb/BXBqfALl6jLka4UYjAzDk6ADJaFeUIkjPWS6Zubm04y5XdhZX4Tm1vTa/nI1cpidHvZah9RFxJtboxAIUcPXoKNjbrHkyLgdmHVXllKKQJBB6+jSwoZsKrhfDcXFXrh46Y13DzLB6fRL9PRVW72yhJ3H4wp7kS3UsC6tYz4HTliSayWukxfhYDjzA/niIRK7EAnNnCkM/lG2jXmDuoYtWM0UkQhJ+Ux+Jk/aT3+OZkXr+12TYqiiWIMTtjVoUPaCz43dsRSIaCHipTYTKBSVot+Z/t8Ga85nmnxvN+YUwuh1QiuSQsYX4SN1r+CutxswOS5uCg7EPAG8kZVxrxVwuVBzpajw56G5O3MtxeTvdty3uPHdpeUcXFXXCW+0A95FNLsrpMeRid/CH7Zhi+4L0/fzuXzcUf15/O+pe2EKmKFSnUA9ZxM67JYFYw6uLKzFNl3mLBEoC6Fi5CyEXD3c13QQj51qYYdFpcOA3Y4BOwmPyrGptASnQt0xIyUC8FElKIaVcSCLo0JTr3VZrr2OmPUoUMlgdiTX0lqQrUBOrgLjIQ/6HTYUKxRQ5IixLjcfzW0LxY1SKERBQIaO4aW/QK3O5PbFYHahsqkE/m09CHFT7/M1B0iIn0GVvBi97hGsUZVOO16SL8gBJvWaD4d9ZQuGvczC4xxiQhjypmYMFw93gLhkLi0Chjw2/KmLh19uUYM/W63M4uWxD+Om4t+ntB+2wLqUhzfG44Rp8nNsOD2o7oPV/bi2bA1eHJy7HJkTsxJihLy8Wk4B2gataPZn1ttELhLCgtgptM0FHLx/3QD8zIlFRchsqpTXoEi2A82Wv0MjqkCpfLKQVSlQ4Bu1t+N7p37KtvkWa0hkV8sKkjyJAh+u3IhbKjawPjCU5YWKkbMwHfPVXS+hy5q52oopgXOwz4TG3Gq4pUbYojNf6CWCPDjGhTjsnKpJWT77dpI6KixWJyxGcjQyyPLFaLdMoM88c6XPZHPwzsSk2cO2qgK09M4U0imFIhQEpBg2Lt/r6Bu2oVFaj97GU6SlKGUxsiWrGs2WcdSrStBmG4/bhZEsMtHKiRGtlAdneGUs/8e9iaedRDwevOEC2AJ18EXl8EVkyBP3QSc6gj739ehzReEL50HCT74Idcy7vD4uUh6pcAjiooLncGnhOrhDGhi9MramqUhphSMkQoFkGByE0euqwb+HOLBnbgQTtFwFcuw6vDOa2bbo2WMrtEopLAHvHHO4NeocXFT5JvxMciK23/k6ep2nJ+YC2JL9BazV3Mo6qpLOmturPo1fdf8B9mg/SrI1uLPxk7gkv5YdfElZGagYOYsgw58+8ty/2U6Y5YKkbpQiKSqKFRgMGtDAq8H4RBAj00Jk+en1WFkzNOKUWpqrhiZLhrZuI8KRWZdBHAbr6wvR7DDCb1l4JTzqmokaNLvHUZGnwaCR2JSLUOCXYHh8+V/Pqc4JbJKvRVt5S0p1ORXSInTarWzr9DFLHBetFMgWKXC0N7X0QyqsyU+/3TkhGA4GkkiNkDbY7zXXzblPJViLb6+1Y9Sbj36XC6bABpTyX016V4bdpC07cynM+WRLONNtxGHmOMR8oGzWQFStkLy+yZ+LpN34RoMEAm4B9k804oXR1GuyiAbeyKtAd48DbYH0O9IWo1imnBQjDLA1pxADJhuODo/h8vXJ/y1E5zkRHjX/CY7gMM7L/SZrjLYlawNuKX4vOp09+FLVp6ASxJ8uS1keqBg5iyDRi2SFCJ/LQX2+FnZvACM2V8KzbQwGGXIl5ThoHse2vMK0rMGTgXzFFiqU4K5Roc9uRVfQBlht2FZZgNbuySvUPK0CQp0AhxI8QZNjZpH6sVaYjcERK4ajK2didPyoCVukjTiVl/jsExFXiDJJCY4m0KKbCmqBbFm7SOZTqIlgJapTRJw8+CLpXf47QgHc33EpPKet8oe9RShNpI5yHr325fVwyUrSXy/C+BCJ9GFnthUS3kV4cih5QZLFlSPPnoPjo8srQmZ35pQrNBBF+Tg+NBmBIUeVw83MPKke58tQCUuxLutW9vf3FVwLpoABN8acIIZh8LeBXSiUZOOS3PUQcumpM9OkFYO699572TDXnXfemdDyBw4cAJ/Px4YNG9LZ7DlLviK5vCUxNl1XqUFHcAQGvgkSfuJ/QOMeD7rMk5Xl4TTsqZOhNksLnUSGk+NGnDAZ4JxVD2NivCjKVWF9QwHGRG502ZJLU014PWDKeWzx50pzdJ8Z9faahJYtkxaAF1UtixAplGiwVlwF/ejKtfUSJJKVmcDLjeZnZD1Gn4dtrSUMuJOf1BqOitDnWN7XnJXiOKVQ1IY1quewVs1LKhqygVeOQI8Ip1ZIiJAZO2Rq9KjJiZ5Zbfnkk+v1JubouxQc8FChuHzmdw4nphAh/Gt4L/4+8Dp+0v5P3LL/R/hL3ysw+Vd+yOdqJmV519TUhAceeADr1iU2DMvhcODjH/84Lr/8coyPr8wgp3OdApUclqAbm+RlODE8Ad8898dEmZ3yWC50HDH8vjBM3tgdKIPOyT/8HkvqEZqjVgN2bMxH94mV//y1vuFGzTWl6JfGdvwUQYQq1OMdS0dGJirPh8fhImiV48DEypxMZhPgrMw2vUFiLZ65KcxkQNp1hftTKl5dbgGvEqa3/uuK3Gi1Lx1e0XBlKHTm4fhwZlqvl4KIjfVFeRhxOXFoJHbk88Xj63DTNjtE4v60tlWmuARyweR06qWYCMzE9uwhD/4x+AYeH9qDf5//P9CKJlM6A55eHDDvBZ8jgEKghIJ/+nb6Z50oJ67YoaQoRtxuN2699VY8+OCDuOeeexJ6zuc//3l89KMfBY/Hw3/+859Flw0EAuxtCqdzZZwi3+28kITDKmHE7mZtP4Zm96mmAJmfkSOVsdGF5WAtT4vIUS9yiyUYynJkekL8HDr4VmRlieGwZu6klQik3mVoN4P8q3NhEI3PueqsQi3a+wPY7TNgS10pOsOZtyhfKy3HvgwayiWKUsSFLbQyYsTiy+wHh7iZPjN8Af6rfATiJFp8jb4qLDcKYXrRLSW/CT/dWIznRqrwjjkSOxrCL0Nfjxst/pURInkKObJUUjSPL14w3G9x4eVjF+Om81MTIw7fNrwxUI9Ligvx7/bn8fvLbmCjIrNxh/xotQ+hVlmALJECutOCYzZRJoojlk4UyYTYZXwRPe7Fv5+/U/cDlMqWf0Dl2UpKMu3222/HddddhyuuuCKh5f/617+ir68P3//+9xNO/6hUqulbcXExznUi4Qie7+pYmY0xQLVGi615BdiWX4gqTRZs/mWoMWCAS5hC2PfaYHf60NVmxGVM7Bk3mYLMPlGsU6yoA+kUHn8Qrr0yqMOq6fvKORXY32aH1Td5fPX6CNtGnUkUfDEszpWbWTKbxvyVswMddmVeLJ+w2PHk8EeSsowfdiQ/UyhZFMI0RkOz6RoHApFTuKbgBXyn0YsC8czJlviGrPVU4USrhe1qWW54XA62lBXCEvLh1HhiwieUooe/1XMh/ni8CK1mO357oo0d1jklRMbcTvyx9SA+/s79uGrPD3DXib+i57SBW7Zo5m92Nkdtb+P3vb9aUogQulwr9P19lpL0t94TTzyB48ePs2maROjp6cG3v/1tvP3222y9SCJ85zvfwV133TUnMnKuCpJIJII3H9+Pf/zoKVSXaaC/Xg0/L/E/xHU8LXK8YnBJVDfMgAkziLK3KCKhKMLBCELBCILBMHsruTAfvWIneq2Z7bYQgovgLLtlEg1R9APdg3PNuroP6rH24my0RpbvKr7FOo6ta3LR17byKQuLw4uN5hposyYjMxM2clKZOYkaXG6cl1eFFqYzI9ur5VXg2IAFembluqFmU5QVxUpUjPAZJSb8yfnBJMohkx3Vik9hZ/bDSy7rcVVC/4YE2poILMtYJCzlpydGpiAD5cTcNxCOfgybs0rBC/HR0eJAi29lUpnVOVr4mDCO6JMz7WssSP71T7gux4MnldPThqvVWvzh8huxd3QA/+hoxu7hPuQrJGDUM+3KlqArrhgplMhhCiTeYtzlasdVedclvd/nCkmJkZGREdxxxx3YtWsXxGJxQidSkpr5wQ9+gJqaxAr4CCKRiL2di5Cqbb/HD5fVjVP7O1kRMtJ12rSr14gLnOXY/V+5Ca2rjquBZ58dnYHE/3ADfV70F2bmxMVhgE38HKhMPPR2jKO4JBvifDHC1hB6OscRS+5Eowyix73I3iiBed7UzUwSJM71K4hAwEXVxjz0Mw68YR4GFtFax/onkFepgiWaeg9KFhTIMeQjGGCwQ12ELp+FvfJcaeRSD9wrEJQRYHkjaq/oediSpYCAG78jjaQ2dr32Xgwb7BCauKiSKCCTiWCs8yEHJCImhkHgQm/UxhZnpmPZLsmQGJnC7Pdgwu9hjdq21JbhSPM4OMuYL1WKRajM1eLYWGpuy0W6vqSWH3Ncg4daRGxqhbAltxCfbNiEj7z8Lwydrkcj0mxdsQQnZ73F1oA7rhjR+1yoVubDGEhsDEOvuwvhaJh1fqUshMOQs1+CkFqPm266ia37mC042CpkLpet85j9mN1uh0ajmXNfNBplT7jkPiJqLrvssiW3SyIjJF1DimCVytXV/+20uPC37/0LzXtOsQKE3EhKJh7kWBt/tRNOweIFbHlcKXRHGdjsyV0tcrkcOC8RwcGkHp4VgYcLg/kY77TBYkstdF5ekY1DhWbMG72RMchqq01KmI3Lc90ukwuRU6iEWClEVAx0e63TqZhE2FiUgx5xd9LbJX/N6yOV6Gl1w+WfceEkkegCjRJqmQQiMQ8RPuCJBjER8sLodxOLjmXh1gsNsIWXZxrzbPjB8/HS4PJGf8rkCtzV8DfwObHfx6GeD+DBJzSx94/HnfbJadiZD8eAF+N1fhiiqX3+frxzAnze5JC3TPCjkx9AIDojcNYpC2EdDEOXLYHXE4JSJ0CbT49GURGaTqReQ0JONptKCtBrs8LhT61u63MXOaHVvAkONzGVO2x7L/7aOvP7FSWV+PmF78F1/3kEBs+M8thaWIBO5xjWFvIx6B3HRTkNuKPmehRIsxCIhHD1W99ZsO4ckQR5MgOCCdoFfKP2f1ElT/zCfDWQ6Pk7KYlGOmFaW2e9qwBuu+021NXV4e67754jOghkw/OX/8Mf/oA333wTTz31FMrLy3EuQ0TZ//v8n7H/mcNJPWfNfV1wfW4NTqlmTjY6rgQiDg+jETdkHD5KOwTQ25NvPSORiXWMFm8jtSuWAp4Mxd1CtI+mZ9I10G/GpdpC7JYkF75N5ksxuzZzYoTUoBSVaKAqksHM8aHbZsEoJiYzMCnosROjJmyoL0JvKPHjqIIMhaYiHO83xRQpequTvc1nfV0uml3jGW/NXJ+vgzXUvCzdQfOx+1fGWI1Dxs7HeD0Bfzb+/RJpLY59gp1t2Nf+zmQaIC+sQGiNBOYU0jkCXiCjVU/cea+pxakn4TWw/mik6eb0n0kgUf/1GBSpVZBKBThmSH32VIVWgWzt0wkv32f+IP7RPuM9U6JQ4c9XvA+/OrZ/jhDJl8vR7jCwHYeyaD5+tfEatgPtX8P7cdjSg0+UXwoFXwJX2AcOw0GBqBiG0AjWarjQJ1FX0+1qP+fESKIkJUYUCgUaGxvn3CeTyaDVaqfvJ/Ueer0ejzzyCBstmb98Tk4Om+KZf/+5yJ4nDiQlRKYwD1vA+78DuPpz2/FabQRqnhilpwQwGh3YmqcCX8DDiD7+9Mml4I9HgMQyQQuo1svQM5qZ6vv2Jj12XJKHQ9HlubJu9ZggFfEQmrKqTBKRmI+SGi2g4qLfa8cpnw3IoDmc1cADN3tmSN5i1EWLMdIaRos3+WMvw0yRqUwgQHm2mh22RoTpsN0Bsze56FpddjZsYS+cYR80JFe3Aox5ln8Wy9bsCHjc2Ns5sO9W2JMsoDWaXSjqVKGxIgdWoQ8tTOLvHZ8bRCiD3cPzu0niYbUlHzElk7jXF+fj2JgBYU96O72xJLH3mYjvTtNH8GTX3M+uUijGsMuOB1vn1jzmqiQYt5KLNwYySRj/0/I4fLPm+/zw1JOoFjZAI/QgGJTA7wuhPnsCen9y3x2kbuTa/Pcl9ZxzhYwnrwwGA4aHEx9lfq5iMdjwuy//JeXnk1RO/x8O4pqr18BZr8WQcbICw2BM3+tysGcCklwefDgzHRizmThkQdlOJQYjmW/vdgWDWLe+EB1HEp+vIeZwsKY8C4YCDrrtFhhJCmKZnNWJEDgvpwr/v73zDo6rvvb4d3vRFjWr25It19hyjR0HGzAJkEIgTAIEHoaYFxJmkvAyySND/iBjksmQhIcNJDxK3hAch0yYSQKmhlBsx8aAi+RuWb1YXSuttve9b36/1aqupC337trS+Yzu3Lp3r869e+/3/s75nXMmPL27RiuoYakDbO7kmr1rm3qxuCIXje4BLMrPxtmB8a0kJTlGlGSZwNztHTY7T4gXC7VCgbUlhTjWG2nNqSpiFXSlRyao0O6UPsdrrU2NbQURl9dY+jqvw/6jybkjO3ttfGBcvawMCpUcMoUMMhXQZXDhYsiCUoWRx5eMdenIp3AVJQuLYZkJVpyx25JYS+Jnigt4SvejcVS8jocsjTsuIXK6ezteb3TErDL86CcfIjAh+SGLmYmu7/CynEzjRY9eocbhTnZdMzsN8Yrf+bnhhFv9mpyN8If9UMvT18tszoiRgwcPjpvfs2fPtNs/+uijfJjLMFfLUw+8AEeS8RRjUZUVoa1N3KehPxDCWlkxPhESaJEQgCplHtpbkm+RiYXHG0BJrR69S6URR51qF3exxBOstzkgR/fbp+HIUqP5h8sQSKBXU7KcbrEie6EBtiliC0qRD99FHXpYTpkkCSEMg1+Jz5WV4mjfZLdQl8vBhyiF2QaUGcyQhYFOuwPdTgcW5+bBC/+IEGEYdU6kI/G+FmUpFw6MB7V8shAJBjV49S2W+DH13/LFusmusrWF+byl0+cLomyFCceFLmTLNZBNUWk4WeRxPFWLdWZ0huNLt5+bpUVZXjZOdYvXqsnErkk/vYsnLMhw/NI9eLc1tji9aLXAM5zqfxQB/V7nSJfhPqsGRkPEJcMo1eUhW56DZuZ2HYZl6NULS+CRJRbXFRQCaHY2YLlJnCyyswlKB5cBaj44g0/fqk55P0vv+DzOOqTpIZE1EIfkF4Dlyhxc7y3D2lojBvYPwOcXN8qf0dVjwxa/OKm+Y2V2XbQsf8btcuRyNL58BI4BB3eTbTspvVuA4QoEUOybuqdITn9+SkKkYn4OAhUCTsl7YgqRWPS6naju68QJSye6/Xbkm3Vodg2gwzmh9UqVfGxAIoRD6ekaxXKOeILjr8PTx+9DR580yQAZrNWkrWMQPf12tB7qx7qGedAeFuCwh9MuRnKV8RXp2VBewl8cxBQijB1brDCZP5lyfTisxEet904pRBiThQiQp9ONaynpcLig9M3DfEUl3PZ5qG4P4sPWyWkA3L7kfNn1lG8kJtTHKAMolPHXhZiKFf/5BdSI0LIyFW31Fqg2yxCIESa3TJmD+c4s9DfZ0G+x4gKkz2HRc3EQ8tWs+qaICALm+1QotXqQIyjhVsowxGIcBKDCGwYuWRF0+xDyBeG2utA/JtFSwyvVWLXsGpwzSi9KTrT1YNXyYrQGx7uTsmHAuebUcqX0Glxwe1MrLmfxTH5LZ7EnXnmHlMl0R3D6x0RYSggrJ+8JFUCnjJwH++BqvHEgvbWOOnoiQekKtTXtb6Xa0PRBwgvzc3hBrONJdtedjso8I/Jypw5cDQka7G++Cx93JW6XHK0e1uGWkSi1gzO7/Wp6PVhXcA30ag8ERTd8svjE/EXHBdyS8FHOfkiMZICeltQDPO06NSChGHF7/FgtL0R1ePRYS+UGLO0z8Eyp6RAgYxkccmODohDHQyn0+ggLWOJRo7xXgKphCJaTHbB2D+FCjE3r43C1mf9aD9X9FQikoX3R06cFcmTcpZQty4INLix0l+F4OLVeMGp56sI4FpU5xrT0omH0pdDDIxEeWOZGruY0n2a69K13rkdIglimmVAo5JApxRVf8dRMCXqn7jn1mbJCnOjs4nlKpCA/Sz7l9RQKZ+Hdhttwoje5e5JRo0qqpJHF68b77REhrpCZcVNlCXzKYzN+rtXVDG/IA60iwdLLsxwSIxIS8AdQ+2kDTh88j+7mXvR3DMDSMYCuxtSaL3OXFGPILf0bee6QEjABepkSV3mL0HCiG3XB9FRgjUVWjwxIokXeFJDjqoth9O27ALvFgVaRjqenrhtfvFCOd1dJ/9RtGrRi87zFkPvCqDk+iNLcPBwfTL07rkmlQTemTuSVLEWJFZhOGvbsa7GLf/yxqLUVYYUxEjfSeH47LrRkpmaWSa8WXejFsz+bzR+zqB1zzx0TKUA1FquKzPjCuj/FXBcMmfFm3a04Y0m+gq5GhJZqFrP0RqMTty5dDo98+uzJYYTQ6KzHKvOalL93NkFiRERYArimU604+eE5nDpwFucOX4TXLV4In1ylxPId23DO7oFvSLpWkSgd9QPY+tliDJ604YIttbwhYtB4sRcFRTr0hWaOkzEEZSjyKbHkog8dr51Co0OawnjNfz6OJTu3oEGfmqsjHmpb7VhXEKl70jkozgNYr5AmP0eWzp6e4FVZIVzB9MTvfNg1hEXGu7Fc9W/8412mtqQ/57Ew6MW/bccTM2IqkWOlLg8XmweRz1I6xFHUTgw2LrTETHAWCObjH7VfQZ01eSHCEETsfl7TlY31xevglrP8OrH3O09TyLv4khgZD4kREeio78Jbz7+H9/98iGdUlYLy61bBvqQY1f3pexuzO7wwN3gxZJOm5keisCbgKl8ePlROFkZLnWqUv90Fd58Dth4bvM6I+GiQ+JhYF+uyv7eiaXspwhK7a1iRv6BLXLeKNhDfLUApk2HdIjNUMiVYz97T3dPXDhJU0r0pj0UeZgGliYuREr0JBVk6uPxBNNji7432Ur0CN9nvgcuT/rpGUQx6ca+BUFgPd4zAzrIsE+bptWix2THk9+KkvQMKpQyb1i1EzYUBdPemp5U0ECNWJRAsxivnv4hmW+r3w2itGjFod9rR3gBcVXwNjObYGXLvnH8v3uj6u2jfOVsgMZICLefa8dyP9+Dkh+OzzIqJoSgbxbdfhTMdA0AahUgU9vbTnkRQmFRY6oeAFcPd/cfQpQ0g/HFjRo6p43Q7rr9qPj5eJcfmKh0GBuQ42SxN3gtW5FBMujvt3BU3E5sr56HG1sKn15rLp93WpNbAJ+tJS/CqN8BaKBLv2j7faOLxN0F5/PbcFJgPda8c1hw5NColfAHxe47Fg17kUINa+y1wxKhbVGYwosbahhXGMgwN9GBRVh7C/Wp83JSeInqMFeXZ6A0psWDMMl9gAV4+ezU6nOK8+DklaFlrtnmwJkahX4PSiM+YqvBB7z/hCrqQFWcPpbkAiZEkE5axInb/+18vwjqcsEgKKr+2Hq1mQ0SIZAiW5+Nyot/ixHrVPNQEx7+ZrrSqpMo9FhdDHzWg/I5CXPB2oFLH1JL4VGSZ0dQtbh6XvgEXL99+YnCGloywjAe7+tlbZGj6N/PKHEPaglcHPMk1Rx0dkw8lHtaEitF4IHLN6bUqVFyVB3e9D5e6U3MRJINeJ54g9YWK8Xp77N/4hUELqswLUG3pxEpTCZouuOHxS+PujIVaJYfDPIhWQY6Nw8u8/krsObOJdy8Xi0GfeC2/6+flo9Tkh0zVFtNNWWlYyrPdbs7bigZnLdZmf1a0777SITEyBX6vH//acxDH3qmJFPcLC7wHRWdDDw9GlRyZDP1FOXAOZC5glNHeOcjrVozp1ZpxsvuUvG5GlLVWNdT/yEyrSJSCHy1GTaAb5boinDqb2hvbEmMuf2tvdQ4hyCI0WT4Xcz6sXS7YPOI/DNouWKEqkU/KSjmWj5p7YdKasLY4B/2O6aNBCo3pu1guSZRnZyLZNi0uDU+zrtCyXqB2VT/WLi+GtzaADhEyH8eLTieeW+HYwJfgCcVu+bQHfKi2sG66Mpy3d0OzQIkqQwE0fg3auxzoG5LW9v5AGPIeExaUa3gOEW9gGf54ehUGvOKJB6VcJqoYWZB7CR5ZpAUxFtG6NOtyNuJfPW+SGBkDiZEJuB0eHv/xjyffwuBwn/5MUHnTepzLsBCJtoxUzM9DSwq1bsSmsbYXuVu1WDAYRv6/OtH6SVMaskxMT7jTB/kCOYyD2XB4kr9u1mQXoq4h0p16U2UJZHIZOlnCqybp2n1cHj8qjDkzxk7YvX583DKzENfrhpLpKTmCHFqE49iDAgb0eNJz5r2D410yFy/2YrElF4E1YZyt6sUGdSma29PTNqfViuNWcARW4b3O+F2wrKrvOftwDpFcoLwsB+5LCvTbpBMl7X1OPgSW/CeOO62wi9wyM0+fhd6QePd5QTZ9S3JlVkSMsHTwRuXsqkCfKiRGhmGBp6/97h28/sw/RUnTnir+igLWZQKXA2bj1E7qeFOpiwmrgGr4yA+8dxqtaehVFA91O6ux5n82wf1JA5atK0FdEr1rrjKX4XTTaMKomjHTUpOn0IkW7BtSRtsQEidL9hnUWw0ozZ45X4NamDozragIQE+vPWahO3wIlGqN6BDxgTYTWl3q/ZRYg9v73RshIPl7TLvbisryfAitWljs0rpv+twy2P3ix3bkaLXoFfEWIgiBmFWdGSqZCgv0FSPzFVmVsAdsMKliBJfMQea8GGGulzefew//9/Cf4XWlozPizBSuKUf9ZSJEGB7v5JtAXrkB5k0G1Mr7sdI/D42vJdbF7+s3rEa2Ucfr4ASCIfj9QfiDIQTYfCA0Znp0OdtW8PhQ5PDCWduB9stEiERpfeIcPH1ulF70oPm+BQknQ3O6fAhlyB8miPQsydPq4JdZkpOnghxHeuTwhewozZ5580Awh/UxgtQUygxwTHNvSDWDbaKotam3RPT7rkPNQOr3mCanBRsrFsJyRjoxwl54LgnSiD29WiVGWaG4WkaY+FDKRx+55fqF6PZ2khgZZs6Lkc6Gbu6aufuR2xBPWW25XAa5Qs4H1oSuGJmOjNk8EziH/v4Jjr5dg0RhRbHytq1CF3MRCSxOZfQHycdCJEFRtDWCH+LwcY6ZHDn20fGE/23i42Li7JgPDFrdyM3WQ6VUQKNW8sH0ZSP6BCdWyAtQrDChYL1+3HePHCP7k8l4HoPoepNBh/++/4vclolgH3TgB599GBdi1Im4HPD2urkZuy504vqzZfjnmsTUiFolTTbUeEj0XEzFwpyspIJXtbIiKFAMWyASbyMX1AjLpn8Ttvs0SAdlITNaMhoePR51HJVrpyMsKPH6JdaqJE7vPJtM2peCLLUaQz5pXEEsZkRMwmNaRnJUebAGBibFi0Rh90Wq3jvKnBcjZUtLcOfDt0Jsbvz2NjiHXHBYnfC5/VAo5VCqlHysGB5PnFcoMvcwSplrpf8KrV6DJw78gtvUNeQetq8LrmE7s2WOodF1TqtrZCxm8rl4aHz5GKoWXY2zxvjfms/7LVAp5AiE0lvvhCPSpTfPkHh3VyawW23laHRE3tRz1HqE40go1u1MT4uEYejyKveu0qQWIN3iuhltE4sapoA7JG3SuYVF2TjlkkaMhEVMeMb3NybnjUImR5V5Lc7aTvH5xYZlk7b/ZOAwbi75pqjHcKUy58WIlBiys/hAiINaq0Zh+Tw+JJOa32VzR4SJy4dgIIigP4ggcwX5gwiNjIMT5qdaPmY+MLqc7TPgC8Dn8UN33ofATQXwhoLwhULwBYPwDg+xanh4QkEsMpnRZU1/PhlBJDGi0yYevJqFTaizj75BWv1uaLEJXhyd+kOCAm1O6V00VeEinK+RPstoIig1yV8fwbAZr7UxcSWeW8XicyHfZILFzgSDTHQ3SlNAOpe1NxSQTIxY/P24a8EO1NrPIyQEsciweNL2J60nsDX/OuSox3QPnKOQGCHmBCq1CtnzzHy4HAgwcRIKcWHiiw6hEPzeIFw+Pzz+INx+Ng7waTZm8242HQggGAohHBZ4TQzW9ZyNQ2wcFrjQYdNsfZCN+TxbPrqeBQGPbCcIPIkXe4xEJRJzqym4e03Ox3xaHpmOrJPzcXQ7Pi+XIdfQA0FeOuJWZIzXXcLkAm2hbHyjPA96ZQgqhQeCzIawYIFCvoS7+mRs32CF0vhc5HvDObDm6Xj3U5vfC4ffi4AQ5i5S9v+EERmnSl6vHn0KB8JB8brTRuEuT5UCaqUSapVydF7F5hX8nLAxXzfsImXTK4vN0Gg2RX20Y1yu0Wlms8h44jKLtxjfXWaM6Y6VTeHGHet2mypYXbdKDcgE+OyASq6AUq7grXx8WiHnFY9V8ojbkp2b6HU49hocO0SvVzat1MrhFYLDbmjZuHHk/xrz3w+7h6Mu61F39ujn5OwaYi525iZRyhEaviZHrTjZNmzbcdffsD3ZFtHfAZvO1jGRx67+yC+gSFuMny3fCW/YB51CP8lut83/DyhkV3CLuIjIBPbrvcyx2+0wm82w2Wwwmag7FEFIAXsoMCLxPentISUF7NbGbm6jD7nwiEhh67iQmzgvCPz/z1KpkaVUj9Rs4euZuAuFuJALBsOj06EwD8KOTrPlgWBEGDFBodUwkRERG1q1KiIqlIpZYWOCEOv5TS0jBEFwFMNvrrOFsW+uERQp7UupYMPsshFBXC7QL4sgCIIgiIxCYoQgCIIgiIxCYoQgCIIgiIxCYoQgCIIgiIxCYoQgCIIgiIxCYoQgCIIgiIxCYoQgCIIgiIxyReQZieZlY8lTCIIgCIK4Mog+t2fKr3pFiBGHI1IYav78+Zk+FIIgCIIgkniOs0ysV3Q6eFZ7o6urC0ajkVIoJ6BGmXi7dOkSpdDPEHQOMgvZn+w/l7FfJs8AJjGYECkpKeH1ra7olhH2D5SVlWX6MK5I2EVI9XzoHMxl6DdA9p/LmC6DZ8B0LSJRKICVIAiCIIiMQmKEIAiCIIiMQmJklqLRaLBz504+JugczEXoN0D2n8torrBnwBURwEoQBEEQxOyFWkYIgiAIgsgoJEYIgiAIgsgoJEYIgiAIgsgoJEYIgiAIgsgoJEYIgiAIgsgoJEZmETU1NbjhhhuQnZ2NvLw8fO9734PT6Zxy+0AggIcffhhVVVXIysri6XrvvfdennqfkN7+DNaZ7dFHH+W21+l02LZtG86fP0/mT4L6+np8/etfR35+Ps84uWXLFhw4cGDaz7Dz88Mf/pBneGb2X7FiBZ577jmyf5rsz6itrcUtt9zCs3Sykh+bN29Ge3s7nYM02T/KAw88wMutPPXUU8gEJEZmCUxAXH/99Vi8eDGOHj2Kd999lz/UduzYMeVn3G43f4D+/Oc/5+NXX32VX9DsxkBIb3/G448/jt27d+OZZ57B8ePHUVRUxAVNtDgkET833XQTgsEg9u/fj+rqaqxduxZf+9rX0NPTM+VnfvzjH/Nz9fLLL/OHIpt/8MEH8frrr5Pp02D/pqYmbN26FcuXL8fBgwdx+vRpfj/SarVk/zTYP8q+ffv4fYu9FGUMlmeEuPJ54YUXhIKCAiEUCo0sO3nyJMshIzQ0NMS9n2PHjvHPtLW1SXSks5Nk7B8Oh4WioiLhN7/5zcgyr9crmM1m4fnnn0/Lcc8W+vv7ua0PHTo0ssxut/NlH3zwwZSfW7lypfDLX/5y3LL169cLjzzyiKTHO9tI1v7f+ta3hO3bt6fpKGcv/Unan9HR0SGUlpYK586dE8rLy4Unn3xSyATUMjJL8Pl8UKvV46oismZnxkcffRT3fmw2G2+qY64GQlr7t7S08LeWG2+8cWQZy5Z47bXX4uOPPybzJwBzizEXy969e+Fyufgb4gsvvIDCwkJs2LBhys+xt/I33ngDnZ2d3GXGmrVZ6+CXvvQlsr/E9mfV2N9++20sXbqU27ugoACf+9zn+Fs6kZ7rn52De+65Bz/96U+xcuVKZJSMSCBCdJiqVSqVwuOPPy74fD5hcHBQ+MY3vsGV8WOPPRbXPjwej7Bhwwbh7rvvpjOUBvsfOXKEr+/s7By3/Lvf/a5w44030jlIEPaGx65fmUwmKBQKoaSkhLdOTQc7V/feey8/D+z8qdVqYe/evWT7NNi/u7ub212v1wu7d+/m2/7617/mnz948CCdgzRc/+zedMMNN/BWWga1jBBTwoIbWUvFdMOJEye4qv3Tn/6EXbt2Qa/X89iDRYsWcWWsUChmtDALZr3zzju5Un722WfpjKTR/mwfE14QJi2bq8Rrf2az73//+/zt+vDhwzh27BgP5mM+8+7u7in3/7vf/Q6ffvopbx1hfnZ2/th+Pvjgg7T+n3PR/uxew2DbsVgdFuPws5/9jH/m+eefT/N/OvfsX11djaeffhp79uy5LO43VJvmMsdisfBhOioqKsYFfPX29vLeMewCY1HVr7zyCm6//fZphcgdd9yB5uZmHvzEmvwI6e3P7F1ZWcmDh9etWzeynN1EmJuMiZu5Trz2P3LkCHd3Wa1WbvMoS5YswXe+8x3+kJuIx+PhPThee+01HvwX5f7770dHRwcPbJ3rSGl/v9/PfyesmNsjjzwyspz18GOuTbbPuY5FQvuzXjM/+clPxrmWQ6EQn58/fz5aW1uRTpRp/TYiYVg3LTYkAnsbZ/zxj3/kD0nWO2MmIdLQ0MD95SRE0mf/hQsX8haU999/f0SMsBv0v//9b/z2t79N6Dvnuv1ZzzDG2BtrdD76Bh7r2mfDxM+wlqypPjPXkNL+LMZq48aNqKurG7ecxeyUl5endNyzhXwJ7c9iRVgPwLGw2B22/L777kPaSdQvRVy+/P73vxeqq6uFuro64ZlnnhF0Op3w9NNPj9tm2bJlwquvvsqnA4GAcMsttwhlZWXCqVOnuA83OjBfOiGt/RmsJw3rPcOWnT17VrjrrruE4uJiHglPJNabIC8vj8fpsGuZnYOHHnpIUKlUfH4q+1977bW8R82BAweE5uZm4aWXXhK0Wq3w7LPPkvnTYH82zbb5wx/+wHudsd8Qi3c4fPgw2T8N9p9IJmNGSIzMIu655x4hNzeXB+GtXr06ZiAe05/shstoaWnh87EGdnMmpLU/gwWO7dy5k3fx1Wg0wjXXXMNFCZE4x48f54G/7BwYjUZh8+bNwjvvvDOt/Znw3rFjBw/2YyKE3ax37do1EtBHSGt/xosvvigsXryY23/NmjXCvn37yOxptP/lIkYoZoQgCIIgiIxCeUYIgiAIgsgoJEYIgiAIgsgoJEYIgiAIgsgoJEYIgiAIgsgoJEYIgiAIgsgoJEYIgiAIgsgoJEYIgiAIgsgoJEYIgiAIYo5y6NAh3HzzzSgpKeH1tPbt25fwPlg+tSeeeAJLly6FRqPhtW0ee+yxhPZBtWkIgiAIYo7icrmwZs0aXo/mm9/8ZlL7+NGPfoT33nuPC5KqqirYbLYZC/xNhDKwEgRBEAQB1jLCqljfeuutI9ZgxTtZVeW//OUvGBoawqpVq3ghz23btvH1tbW1WL16Nc6dO4dly5YlbUVy0xAEQRAEERPWYnLkyBG88sorOHPmDG6//XZ8+ctf5pXeGW+++SYWLVqEt956i1cir6iowP3334/BwUEkAokRgiAIgiAm0dTUhL/+9a/429/+hquvvhqVlZV46KGHsHXrVrz00kt8m+bmZrS1tfFt9u7diz179qC6uhq33XYbEoFiRgiCIAiCmERNTQ0PTmWBqWPx+XzIy8vj0+FwmM8zIRLd7sUXX8SGDRtQV1cXt+uGxAhBEARBEJNgQkOhUPCWDjYei8Fg4OPi4mIolcpxgmXFihV83N7eTmKEIAiCIIjkWbduHUKhEPr6+ribJhZbtmxBMBjkLh3mxmHU19fzcXl5edzfRb1pCIIgCGKO4nQ60djYOCI+du/ejeuuuw65ublYsGABtm/fzgNYd+3axdezLrv79+/nXXi/+tWv8taTjRs38paSp556is//4Ac/gMlk4t1944XECEEQBEHMUQ4ePMjFx0S+/e1v82DUQCCAX/3qVzwmpLOzk8eKfP7zn8cvfvELLkgYXV1dePDBB7n4yMrKwle+8hUuXpigiRcSIwRBEARBZBTq2ksQBEEQREYhMUIQBEEQREYhMUIQBEEQREYhMUIQBEEQREYhMUIQBEEQREYhMUIQBEEQREYhMUIQBEEQREYhMUIQBEEQREYhMUIQBEEQREYhMUIQBEEQREYhMUIQBEEQBDLJ/wPOthu8ct7OOQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot(shape.length_width_diff(counties.geometry))\n", "plt.title(\"length-width difference\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Ideal Shape Measures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next class of shape measures are usually taken to be *ideal shape* measures of compactness. This means that they construct the relationship between one (or more) aspects of the polygon (such as its perimeter or area) and compares this to an analogous value for an \"ideal\" shape. \n", "\n", "Ideal shapes come in a few flavors. \n", "- \"relative ideal shapes\" are shapes whose properties are fixed relative to the original shape. For example, the `isoperimetric_quotient`, compares the area of a polygon to the area of the circle wit the same perimeter as the original polygon. Mathematically, these measures generally are constructed so that they vary between zero and one, and equal $1$ when the shape is the same as its relative ideal shape. Measures in this family include the `isoperimetric_quotient` and `isoareal_quotient`, as well as our implementation of the `fractal_dimension`, as will be discussed later. \n", "- \"absolute ideal shapes\" are shapes that have some fixed, known relationship to the original shape and serve as a \"bound\" on that shape in some manner. For example, the `convex_hull_ratio` compares the area of a polygon to the area of its convex hull. Since a convex hull is guaranteeed to be at least as large as the original shape, this measure also is between zero and one, with $1$ meaning that a polygon is its own convex hull. Measures in this family include the `boundary_amplitude`, the `convex_hull_ratio`, the `radii_ratio`, the `diameter_ratio`, and the `minimum_bounding_circle_ratio`. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Absolute Ideal Shape Measures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `boundary_amplitude` and `convex_hull_ratio` are two simple and very-related measures of shape regularity. The boundary amplitude is the perimeter of the convex hull divided by the perimeter of the original shape. This varies between zero and one, where $1$ indicates the case where the polygon is its own convex hull. This is because the convex hull will always have *at most* the perimeter of the original shape; it will be shorter than the original shape when the shape has many concave parts that cut back into the shape. \n", "\n", "In the map below, you can see that the counties with holes in them have very poor `boundary_amplitude` scores, since the holes add to the perimeter of the shape, but not the perimeter of the convex hull:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.325474Z", "iopub.status.busy": "2025-06-29T18:42:44.325398Z", "iopub.status.idle": "2025-06-29T18:42:44.370847Z", "shell.execute_reply": "2025-06-29T18:42:44.370627Z", "shell.execute_reply.started": "2025-06-29T18:42:44.325466Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'boundary amplitude')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot(shape.boundary_amplitude(counties.geometry))\n", "plt.title(\"boundary amplitude\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Related, the convex hull ratio is the *area* of the original shape divided by the area of the convex hull. This varies between zero and one again: since the convex hull always *contains* the original shape, its area is always larger. The measure, thus, is related to the `boundary_amplitude`, but will be different for different polygons, since it pertains to *area*, not *perimeter*. Generally speaking, perimeter-based measures will be more sensitive to non-convexities than areal-based measures. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.371279Z", "iopub.status.busy": "2025-06-29T18:42:44.371208Z", "iopub.status.idle": "2025-06-29T18:42:44.416974Z", "shell.execute_reply": "2025-06-29T18:42:44.416742Z", "shell.execute_reply.started": "2025-06-29T18:42:44.371271Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'convex hull areal ratio')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot(shape.convex_hull_ratio(counties.geometry))\n", "plt.title(\"convex hull areal ratio\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another measure is the `minimum_bounding_circle_ratio`, sometimes called the Reock measure after the author of the first journal article in which it was used to analyze congressional districts. The ratio compares the area of the original shape to the area of the smallest circle that can fully enclose the shape. This measure *strongly penalizes elongation*, as the minimum bounding circle has to get larger and larger to contain the shape. While the method is similar to the `convex hull ratio` (both compare the area of the shape to the area of a containing shape), the `convex_hull_ratio` is sensitive to concavities of the perimeter but insensitve to elongation, while the `minimum_bounding_circle_ratio` is sensitive to elongation but insensitive to concavities of the perimeter. It also varies between zero and one, where $1$ reflects the case where a polygon is its own bounding circle. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.417397Z", "iopub.status.busy": "2025-06-29T18:42:44.417323Z", "iopub.status.idle": "2025-06-29T18:42:44.463462Z", "shell.execute_reply": "2025-06-29T18:42:44.463239Z", "shell.execute_reply.started": "2025-06-29T18:42:44.417389Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'minimum bounding circle ratio')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot(shape.minimum_bounding_circle_ratio(counties))\n", "plt.title(\"minimum bounding circle ratio\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A related measure is the `radii_ratio`. Instead of comparing the areas of the two shapes, the `radii_ratio` actually mixes the reference and ideal shape concepts together. It relates the radius of the minimum bounding circle to the radius of the *isoareal* circle, or the circle that contains the same area as the original shape. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.463894Z", "iopub.status.busy": "2025-06-29T18:42:44.463765Z", "iopub.status.idle": "2025-06-29T18:42:44.509647Z", "shell.execute_reply": "2025-06-29T18:42:44.509394Z", "shell.execute_reply.started": "2025-06-29T18:42:44.463884Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'radii ratio')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot(shape.radii_ratio(counties.geometry))\n", "plt.title(\"radii ratio\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This measure generally performs about the same as the `minimum_bounding_circle_ratio`, with a bit more sensitivity to concavities in the shape. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.510100Z", "iopub.status.busy": "2025-06-29T18:42:44.510026Z", "iopub.status.idle": "2025-06-29T18:42:44.555874Z", "shell.execute_reply": "2025-06-29T18:42:44.555640Z", "shell.execute_reply.started": "2025-06-29T18:42:44.510092Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Minimum Bounding Circle Ratio')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(\n", " shape.radii_ratio(counties.geometry),\n", " shape.minimum_bounding_circle_ratio(counties.geometry),\n", ")\n", "plt.plot((0, 1), (0, 1), color=\"k\", linestyle=\":\")\n", "plt.xlim(0.2, 0.9)\n", "plt.ylim(0.2, 0.9)\n", "plt.xlabel(\"Radii Ratio\")\n", "plt.ylabel(\"Minimum Bounding Circle Ratio\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A similar measure to the minimum bounding circle ratio is the diameter ratio. This measures the ratio between a shape's \"longest\" and \"shortest\" diameters. This can be measured as the longest and shortest axis of a shape's minimum rotated rectangle. Alternatively, one can use the raw bounding box for shapes, but this is biased towards shapes that are east-west and north-south oriented. This again is quite a strong measure of elongation, and shapes with very large differences between their longest and shortest axes will have low scores. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.556254Z", "iopub.status.busy": "2025-06-29T18:42:44.556165Z", "iopub.status.idle": "2025-06-29T18:42:44.590629Z", "shell.execute_reply": "2025-06-29T18:42:44.590402Z", "shell.execute_reply.started": "2025-06-29T18:42:44.556246Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot(shape.diameter_ratio(counties))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Relative ideal shape measures\n", "\n", "These classes of shape measures construct a relationship between the observed shape and a different shape with some known relation. As we discussed before with the `radii_ratio` measure, this often looks like a circle with the same perimeter or area as the source shape. \n", "\n", "In the case of the `isoareal_quotient`, this relates the shape's perimeter to the perimeter of a circle with the same area as the source shape:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.590993Z", "iopub.status.busy": "2025-06-29T18:42:44.590921Z", "iopub.status.idle": "2025-06-29T18:42:44.625720Z", "shell.execute_reply": "2025-06-29T18:42:44.625482Z", "shell.execute_reply.started": "2025-06-29T18:42:44.590985Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot(shape.isoareal_quotient(counties))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The related measure, the `isoperimetric_quotient`, relates the shape's area to the area of a circle with the same perimeter of the original shape. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.627676Z", "iopub.status.busy": "2025-06-29T18:42:44.627458Z", "iopub.status.idle": "2025-06-29T18:42:44.663396Z", "shell.execute_reply": "2025-06-29T18:42:44.663170Z", "shell.execute_reply.started": "2025-06-29T18:42:44.627666Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot(shape.isoperimetric_quotient(counties))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If these two maps look similar to each other, it is because the `isoareal_quotient` is mathematically equal to the square root of the `isoperimetric quotient`. They will always rank shapes in the same order, as is demonstrated in the plot below. Of the two, the `isoperimetric quotient` is more commonly used." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.663916Z", "iopub.status.busy": "2025-06-29T18:42:44.663828Z", "iopub.status.idle": "2025-06-29T18:42:44.707363Z", "shell.execute_reply": "2025-06-29T18:42:44.707141Z", "shell.execute_reply.started": "2025-06-29T18:42:44.663898Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Isoperimetric Quotient')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(\n", " shape.isoareal_quotient(counties),\n", " shape.isoperimetric_quotient(counties),\n", ")\n", "plt.plot((0, 1), (0, 1), color=\"k\", linestyle=\":\")\n", "plt.xlim(0.2, 0.9)\n", "plt.ylim(0.2, 0.9)\n", "plt.xlabel(\"Isoareal Quotient\")\n", "plt.ylabel(\"Isoperimetric Quotient\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A final related measure is the fractal dimension of a shape. This measures the effective dimension of a shape's boundary, and generally varies between zero and two, where $2$ implies a very convoluted boundary, and $0$ implies a very simple boundary. Hoever, our particular implementation approximates the true fractal dimension by assuming that shapes' boundaries move along either in a grid or a hexagonal lattice. Thus, the measure is effectively the relationship between a square (or hexagon) and the existing shape. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.707805Z", "iopub.status.busy": "2025-06-29T18:42:44.707728Z", "iopub.status.idle": "2025-06-29T18:42:44.742701Z", "shell.execute_reply": "2025-06-29T18:42:44.742493Z", "shell.execute_reply.started": "2025-06-29T18:42:44.707797Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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BMRuZTICgCHD7Z+pIsqVcLYdWLEKC58TYYAAu+/LPq+l6DQ6zB7PeJ5Uyenj3Hdiirsx6G4Szh3TP36SyiEAgEBbhn++1YsrppX8fmrThq395Li9ChIIdy7ySo2lDKcLi/AgRijGrE332SQS2NKPoE91Y1SRYcvnqLQocZacuWE0X6vL38SeP4tXX22gHVwKBgkztJRAIhBQMGK34xVPvQCbiY9ziwoNvHoNvmRqJdKnTqtDeY8xoHbGIi5ZRQ9Z1JouxbhMPNiRoG3vtpQaM9KsQCS3ciVInwGi1GfFI9gfAjDNwUUc1mvcPoxnDePjRA/jtb25BcdGMSzfh/IRERggEAmEeXWNT+Nzvn0IsnsAPHn4Vf3jpQN6ECKUm4u7Mi149vjAqNZlN/E0HiX5msq85asbFt7LAYM4VHGwuE+xL43BFsm8ZFsTYuOBwBbr3z4iwKbMbBw72Z71NwrkDESMEAoEwi2P947jrf56E41TRJyVI8kmZUobxyfQNynTFMjQ1lmDthlIw8tijy+EA2y8QwsIanXP/MK8DG75owkU3Ck8XrNbcKMNQILtiW4oqrwzVv2NA6oovaCF6/Y0OhELZtzoTzg2IGCEQCIRTUPX8v3xqL/wFPDnqhOK0l62t0WAs5EGzwYTmEQOGptKb9psOV3yMAXdVM3yxmcjINO6YG9HSZASj6UotmsNzBctS1ARV2G2qhjw2U3/i5URQ1KCE3ezC5ivKwGTOqKr+gSn86KfPIZKnWhzC2QmpGSEQCIRTdI5N0UZmhWKjXofWTkNay5bLJFAaI1BKuLCG0x+Ylx4J2DgTixqWUVhjZmy9qhrviYbpWTlLURlSoviIBB5bEHabD32xSahuE8EpSEaXLDw/3r5mWvS4sFVdDsNTNnC5LPgDERw5OoS+/kk0rtHn8TkSziZIZIRAIJzzHO4ZxX2vHaEjH0vx/OHOgh0DVbTa3zuZ1rIqIR/Mfhf6ToxD3urFBkl+a0VKdDx4YktP1qWs3DkNg1inkkLKWfq6VRrmw2bywmL2IBaL0/eFWIvXxYQ5MdSs0oLBYkCpEmHdujKIxWQEyPkMiYwQCIRz3jH1+w+9SteAmOxu/ODjl4PNWngdRrXwvni0qyDHUC6VQh7hYDSaPFEvRx1bhG57skbD4wrA88YILt5dhQMxO6J5aKcxmsJYy6rBWGxpv5Cp0BTAnkKFpAHtdteiy7VJjGDfxMQmZxm4/Ux4GsLoZqcWXvV+LexPu2EKJcWKzx+G0+WHXE6cWc9nSGSEQCCcs0SiMXz7/pdOF6M+c7ADX//rC/CHFnbG0Nbu4cy7XJajSiZDbMSP3rYJbK0sWfZLVycRobd5YY1Gz/5hrDdzwVguZ5ImgwelYKQ5taZKtryIijLjOKocxf7tw2iVGhBmps4ByX1ChE4JkWni8QSONWc2bJBwbkHECIFAOCehoiCUEGkfmXuFvr9zGHf99knY3L45rbyFiIpUy+UIDXnh8QbpJpK2tnHUKRQoU8kWHUxTkeAhHkv92MSgBRsmuagX5+7LMTAQRAXq01o2GHdio0qGy/UqbNHIc9rvsNyGypu1kN0mhuZTMjTsKoFIxMPGdeU5bZdwdkPECIFAOCd54I1j2Nue2i20a9yM237zOEam7HQdyW+efTfv+5fzeQgP++D1zS0+HR61wjxsh44twCqdas5j1XJZyqjIbIwjNqjj3LwcY+vbXLAZy2frqXSNkuvC/yvuxBrZKC7QZJ9SmeJ46AhKv9CCTvEk3l07iOBn41Cp0u8yIpx7EDFCIBDOSZabKGuwuXH7b57AI281o3kgvQ6XtEkkUMeSwu1Z3CTM7vBBzGTTokXK42CnQg3XMWNaDqvuJYpDM60dKQ03LLucItGA13pFuOvgGtwgc6BSlt823AQrr5sjnIUQMUIgEM7JWpGjfctPlXX5g/jjSwfRWF6U1/1vLtKhp3v5IXghXxisdjvEA150Hxo+3YmyHBJzNG+1I4f3AHwmf9HHORDg6BgbkXgcU4EA/mhYj37/OHQCPlZJ8xPNYDHIqeh8h3wCCATCOceeE32wuGZqQpYiHI3RNSMbq0uy3+GscMYmrRYTnVNLLi7gc7CxrgQxk5cWIH5fZlbzA60G7BJqkQ8czig07sWjI9zgOhQLBXSpq5DNgQ9TCMcjqFFZUKVw5+UYmPm0liWclZDWXgKBcE5B1YA89s6JDNcBTgwasbm2FM0DE8k592lSKZMhMR6AWiMBi81Ez/HlB+DVl6jQs3cAucBwhoH8lI7gvdfDWPdxKdzRheJiyptAkWYIKnWAjsUEkBR5nijlU5JAk6IUpWIOzIEYWqzp29zPhsMkeZrzHSJGCATCOeeiSkU6soESIuurdWgfMSGdkTRqgQCYCMLh9NO3dPFa0ovaLMXAyQlcuKkMJlkcA77cIhSBYBzCyVVwq5sXPKZRDyKOGMKMhcfsiXrB4vXARLnns4ELihpxcMqR9n4/VLYOd9ReAAGLk9PxE85+SJqGQCCcU5id3pzWbx0yYbVeC/4yrqMUFQkhXYiaKZJiCXKF8uboOz4Gz1sTuFBfhKqLNVhzgS7r7b37hh9qtnrB/QHYEER6EQ8foxPXVbJxkY5yjF1aze3W1uI/N3wI9bJiVIjndhURzj+IGCEQCOcUkVjunR7d42YUKySQi2aGvc1HJxahvy+7CEwkDy6q0+g/VolXtZNocZrQHc1+rk48DsSGKnI+nongGFyJDlxdtlDYTLNGpsP/bP84uCwSnCckIWKEQCCcE0w5PDjQNZJ24epyjEw5wGOzaFGSiiqeNOtt56VekwkU/Ust3lKZEYknBRj1c9XFRWBm+c1+8D0fdOz8DKubjHRgV3Fyps78NMwF2mrwSWqGMAsiSwkEwjnBL5/ai7dacysKTTWvRirko7pIiaEp++n72QwGxgayj0KwM6mQTQFXxgX7s3q865tbLOuJhHHUacAFm0rRfTy9oXxzYcDWWgw05u67kkACYWYf7tl0J9YqyvHBt/5I389mMLFWQabzEuZCIiMEAuGsZ3TKgbfb8itEpnH7g7RB2pqyGS+SdRrtkoZmSyEScjHaMpH18UhrZXB/Ro0W3+IpImoabra0nvSjnFWDfFAtqsCHyzcjGo+Dy2ThlqpteO0DX8UHStbkZfuEcwcSGSEQCGc9j7zdnJZzabaEIlH0jJuxoaoEw0YbnMOLT7Bdikq1DJoEC4PR7FJJRRfp0Lo+BKd/6YLSY2EjylQi2G3pd/jMH6LH3U7ZquX2ol5edBH9UyuQ4I0rvw4NP/fCXcK5CYmMEAiEsxqr24cXj+R/yN184okETg4Z0cCRwWrLvGNHxOMgOmRH55Eh6NQSsDmZff3qP16FA2s8cIaDyy4rYLPhcmYXucl0iN5iiNkibFNuon+Xc4VEiBCWhIgRAoFQELzeIA4d6KdbUAvJP/aepF1UVwJqjkxPz/I276lYLRTBbqaMwoDh3knUlKmRrgu67q4avCWfQjSRnl18qUCG2CKTf9Ol7Z2ZIXrigBJFBy6A1Ld4h8x8LlLvBJdJ/EMI6UHECIFAKAjPPnUM//6DJ/G5O+/DntfaEInkXzD4Q2H8871WrBT1UmVW4ooq4Rhqm1sn0tcxgYZVxXOs5FOhv7kK77AyE0CDXjs4GUZe5mMwJofoaeyVMD9YipZ3LRj6swalXduA+PI1KZcVXZjT/gnnF0SMEAiEvOP1BPHUk0fp30dHrPjlPS/htk/+CU89cQR+fyhv+3nmYAc8gfxtbzl8luxqMEpVUoRDCyftdp8Yw9qm0kUFSfEVeuxVmjPeXzAWRdUFmpxrPiYPKND1AB+OUymfUCiKI885IHt1B5jxxU8fDZI66AXZG7ARzj+IGCEQCHnn4IE++LxzRYLF4sGf//QWvvz5h/KSuqHMzf72dgtWCr1EjNExW8bryYQ8iF2UX3pqOo4NY+3asgX3qzaqcXS1F7EsK3OPOA1o3J398D+NUAhLuwPh8MKIVlerFfI3dywaIbmcREUIGULECIFAyDsi8eIj6cfGbDh+dCjnfexp7sOkI1mDsRJUZNEJUq2WQ2z0Ybh76TRLx9EhbLioijYxE1dI6K6ZvosAf3RxEZMOBzzjWLOtOOP1OEwminwcuD2LF8u2H7dAvXfngqDO7MJVAiFdiBghEAh5x2RYeljas08fy3ky70NvHsdKEnCGMu6esR4fh8OaXudN62u9YFrCOH51DO82uGAJZpcSms/B0ARq16RfeEqpiy0SDS0al6P1sAXcJ7ahdHATOFEefd/FmgvAIYWrhAwhYoRAIOSV115ppdMxS3Hs6BDGs0h5THOoexT9xuwdULPBI4pDq0nfAl4tESCaYZeP+bEh7HLld2gcFbiYkgcARnrpnu1FJehsS9+BdWTIgSNPeDD1PzUoeu8CXKYmhauEzCFihEAg5JWe7rkW5Yvx3DPZRzZWOipCMeB0YoDnQ6JGCMkSaahpJNzM21rjsTg8fxvBFp8C+WTM50LDxuXTNXUKBfpPZGcFHwhGwPQIUSLKPC1EIBAxQiAQ8opSJU5ruT2vtdNeJJnyZls/Iow4WDlYnmcNgwFPOIxinWzZRXlcVla7iIRjiP3NgKZg9oP4UjHMcy85QE/G4yE04kM0mp6XSSo+ch2pFSFkBxEjBAIhryiVorSWCwTC+NU9L6G9dYyuAUkHg92FHz3xBpqHDdAVyVCqWV4ULMUFimLsUBYt6/Uxn964B2u2lC2atmEyGRgtY4AtyG7iRtAfhuDvFtSE0hN26WDye7B60+JRixKRGA5n9nUqxVopdm6pznp9wvkNESMEAuGMREYoDuzvw79+9W+47Zb/xSMPvQeTyblkK+93HnnltK/ImNUJk9eDjXX6rNw01HwBhpsN6Dswhg0hKZS85VMv03jDYRyeMtFpm9rNC9tna7br0WuxQX9dbRZHdmofrgC0TzohiedvhFhEtPgrla6762J8+JoNYLHIKYWQHeSTQyAQ8koiCw8Rk9GJRx58D5/+xJ/wja/9jS6CnW2ORrXwfuEvz6J9bHLOepFYHM0jBtRVaqCSCjPa52qIaRMvirFhK4TsLE76DAZazGY0bi6jb+VlKrDYTAxFky3HCV52qZppnBYvGn35S9eYIh5wuae+9hkJaItnhCM1VZdAOFMwEunGR88gbrcbMpkMLpcLUml+86gEAiF/2GxefPFzD9A/c4XP52D3hauxancF7t1zAJ7g0q21Yj4XNWol2ofmCpaUJBKonmTD5wuhZmspXIigx2lDjuNc6O1ub6zA/tEx+s/dDCVGX+zLaZMKrQRTN0kxyM1u0u98GmVayAM8eIURtDknsV5eDB5YUHcx0XF8POvtSiV8PP7X/wexKNniSyBkcv4mkRECgZAXqDbW//zRM3kRIhTBYARvvtGBV451LytEKLzBMFonJrF2lQ4iPnfphRkM6OrVkGxS46BjEp2OPAgRyrVUIcZx46xuImHu0QaH2YP64/n5qhaxOOh0mnEgPI5W5ySd3jrpnKTdWkPS3F4AyiDtn8+vfJcT4dwgp0/4PffcAwaDga9//etLLhcKhfDDH/4QFRUV4PF4qKmpwQMPPJDLrgkEwvuMttYxdLbPHQaXD2IZVoS0jprAE3FQV7q00dcB1xQG3IvXqGQKdZQKjQjByMwMGhNv4TyabHA2cdM+iAvE5dDxJKjky1EnVKFWqKTv3y4pBX+Kg82ShTUuRSwR3hOZ0i4+XgxKjLjcyTk2BEImZF0ZdezYMfz1r3/FunXrll325ptvxtTUFO6//37U1tbCbDYjGs3PPymBQHh/0N6WfYh/MWqurMIJa+bmZlaPj75tXq1H+6App3bVdFlbW4wTxrkpIjGLDXuO29Xo5dgnoV6DpVuZJSwu1vGK0dy30OdltUoNy5QfvnAY42Mu7CorR1vABE8sgt2hUnQOTKJ6kwIyLQt2e/bpIH8gjL8/fQT/cuclyy5LVQh0mcx4p3cIMgEfn96xMev9Es5TMeL1enHrrbfivvvuw913373ksq+99hreffddDA0NQalU0vdVVlZmd7QEAuF9x/CQGQF/GC3NI3ndLpvLwiSCcyINmUK1AJdr5WBEEhi3uFAoRAIuRtwLt99mtWDnZVUYf3s4622zeSxwEnFE5juoJgA+i421jCJ68GCf0YrmWGrDuVHbTATIHQyhud+IdQI1zA4vOnxJAeXp8oMh5NMRnmwdXAQCDlZVFy36OPVeHh4eowXI3r5hTLmTKT0xj4sbN6yBmE/qTc5XshIjX/rSl3DdddfhiiuuWFaMvPDCC9iyZQt++ctf4tFHH4VIJMKHPvQh/PSnP4VAIFg0rUPdZhfAEAiE9x+TJie+9uVH4fdlNrdlOXgiLti71Ri2Lj3jJh2oFmAOi0m3ALf0GbI+0S5FTaUazWMLhQDVHnBCFkDD2iJY2qey2rZpyIYrx2rxcuVMhEjLEUETEMFgdaM9kvl29WIJ+kbnRpy8gTAqFXIoV6kRUrEQH/XDaspsEOGOmxvhkyfQb7aiWq0Ei8mE2ePF3t5hvNM3hENDYynFpTcUxj+bO/CZXZszfi6E81SMPP7442hpaaHTNOlARUT2798PPp+PZ599FlarFV/84hdht9sXrRuhalF+8pOfZHpoBAJhBYlF4/jZT5/PuxCh0G8qxmGrJW/bm24BXl2pgcPug9Wd+xA6DpuJKr0KAiEXx8cWt1APRKIYbxRCbRHDO5ldcS/TP5Nm4jJYYFuYGPRnmQBKAHq2GDYsFBpdJgvilIKaArZXldBiRCIXQCTlw2HxIBRYPErFE7HxRFsHfaMQcNgolknSFpSPHG7Bp3dsAIdFWozPRzIqYB0fH8fXvvY1/O1vf6PFRTrE43G6yPWxxx7Dtm3bcO211+Lee+/FQw89hEAgdaHT97//fboNaPpG7ZdAILy/eO3VVnR1ZjfHZDkCssI0+vUaLfAjirXVuqyM0qapLVODKWWj02pZUohMY/H64bxMjYob6rLaX7xMhGqfAquCKpT7ZbD7sy8S3anVo23QlHo/s5wejpiMqLmwDI5iBnqZboT0HDQ06VKux2QzodldvECEZRLZmnR78UpHb9rLE84tMvqPb25upotPN2/eDDabTd+oepD/+Z//oX+PxRZOqNTpdNDr9XSf8TQNDQ108dLEROrKe6rjhupHnn0jEAjnBxKNED2Wwk3kTbYAmyCScrG+rgQsZmaJm4aqIgy6HXRqIRNMbi8issyH55V+sAZve0wwujwYt7sw4cg+bb1VW4ITPekLyJYJE3yhMEq4AoieG4HlpW6Uyhd23FRfUooWcxr+Lstw/4HmtEcDEM5jMXL55Zejvb0dJ0+ePH2j6kGoYlbqd1aK8NquXbtgNBrpotdp+vr6wGQyUVpamp9nQSAQVpxrP7gBNbXavG6TK+QgvkmOUHThhU0hRMmJESNqytUQ8tITCWVFcnRazQhneXxHbFOo/MjqtJYtvqAUZZ9qwGGpJ6cozjRrVVp09aaOiCyHgJH8bg94Q5BYU0Rl8qQf+qasODg8mp+NEc5dMSKRSNDU1DTnRhWkqlQq+vfpFMttt912ep1bbrmFfvzOO+9EV1cX9u3bh29/+9v4zGc+s2gBK4FAeP/TemKMdjDNJyVri/JStJoJPUYLlCoRlNLlv49KBGJsV+pQJsk+Wvte2IaS2xtRdusaVN9Un/I8XnbTagw3sLAvYqHrXXKlWibHxIgdsSys+ilCiRhqt1eiokkPy1oJKlZr5jye8ORm1SARcLG2qhhrV+vwH/veQYhYP5x35D0xazKZMDaWtEKmEIvFeOONN+B0Ok9HUa6//no6tUMgEM4+KAHyy3texLf+9TE4nX7Ur1loopUtbGnmaYx8QHXcgMNYcgqwWiyE0eREa6cB9gEX1vNU2KLVgZvFcDgqQuJVsfAW04rSOxvnCBJJmQQnBB5MevNj/14kFCFoDiEQzl4wTESC2KeN4FAVMBj0YYjpQ2WDlp7DQx170BvGas2MyRybyURdkZouYk2H2go1mh0mNE8ZMexw4A9HjmR9rISzEzKbhkAgZGTR/r1v/QMd85xW164rRXeXMWdzsYoPVuOYKbtUQj4Q8bgolUnRP3GqZiWRwMZyHSL+KPrHLHSr7nzEAh6qq9QwRLwYS9OGQK+WYSrqO93meqFAC99hMyTrVWjheeDJsB5lMSRcLooiAkxYC+OxwmUzUbNai5OmZL2ITipBsVRCT1juME2Bz2ZT8/joYtalWLdah+NTxjli5oVbb0W9em4EhnD2QWbTEAiEvBIOR/Hjf396gRChaG+bgK5EgYpKNRgZBgqEsqTRVs1llWiZyr0IMheoYs1Bmx1ra5JdI1srStHZbULfaGohQuENhNDWZYCt34W1HCW2anXgL9GeyuewEOMlDcCmeS9gRst64F2q4TZPQoTDZKKSKS2YEKFejtUNxaeFCIXJ7cGo3UELESqSJOfzlxUiqSz/o/E4vv/GG4jFC++cS3h/QAblEQiEtDxF7rn7eRw/OrToMuNjNoyOWMHlsFFTW4R168uwalURPX13Mco26zBSy0BglwyHXFNZ1zTkk2gsjtZxE3bVV6C9O7PW5aEJG7rajZDYmdipKkGlTD7ncerZ1VZqMeEsnBvs9I42SIrQbyhcV9LGJj2OGxYavU23Hdu8foRTdFimghIf82mdnMQjJ0/m4UgJ5/RsGgKBcH5AWY3/5lcv47130/OACIWiGByYcQVlMhkoLVNCoRDRk31NJiecDj9t926SxwBnsrPl/UY4GJ3ju5EJ/mCYjpZQNOqVECkFaLebUV+lxbHZU30LxE6NHid6C+MBQ0EVmh4xLr39jWUl8ARCqNYocXxk6WXD8dSi5afv7sWz3V24vLoGV9TUYI1GQ/tWEc49iBghEAhL8syTR7HntfacxMzEuJ2+TaNWS1BcrkBvMHcn1NkwEglc6uTDoebgRCw7t9NpYuH8tBePGOyAgapH4YCvAEqFEkz4M7NZz4TtlJdIhhGdTKir0uCkbXkL+pbxGdG1tVKPY0sIkqW6ZzrMZvr2u8OHoJNIcEV1NS1MtpeWgUvcWs8ZSAErgUBYkldeOol7f/VKQV4lFouJuq1laIMLjkjubcLrWWJY/5EUTjKVGM6rSmGMZr5dKY8HhjWKUA5D+haDurBfXVMErziOTpcleUee2KAuQm/f1KL1LblSppPDmPDBH45kvO7akiI6qkEJCCpSIuCxEQhHsKmuFIenUhtgLoWYy8XFlZV01OSSqkrI+cQq4mwuYCWREQKBsCQH9/cV7BWKxeLoPjyKxg167GflLkaUkyFMV0n4PAE4YtmJiQaVGq2mzE+Q6UAJhZ5TaawmnQKiYgFa3JOILKIgeAwmNrHVaIs64EssLgLq5EoMD1oLJkTUChHsrBD8/syFCEW7cSaasrW6FFaZB3wmB2FmBCIHB74MBY43HMbLfX30jcVgYKtejytqaunISbl8bq0O4f0PESMEAmFRqNqPw4cGCvoKSaR8GKVRIA+2Gr6imZlZmnIVxuLRzCMPiQRGRgpX+DmbcZMDMDlQIhGgrEaF9oAVrkgIlRwJarwCGLuTxzHmGodOwEXFpmLEOQwERr3gCjjo1gVhiQboKbxOk79gzrUiARcMBRv2PBXedhgn4WDMpOi2lJShZST7TqpYIoHDExP07e5396JOpaIjJh+oqcG64mIwSZ3J+x4iRggEwqK8+UZyAmuhEEv4SKyXYciX/byV2RyNe7Dxk+ugsEdgUbGRiGZRN8JgIBDM7uo/W5yeAJwnJ7BDp8NYrxlulxU985YJBMLoOTBjKElR7pRhXU0xuH4WLJwgDNwEHOH8uuKyWUyoyyXos9jysr3aCiW4SiYcTv+cIud80mez0bf/PXYUaqEQl1dX43sXXgRZmgNeCSsPESMEAmFRqqoKazql21SEA15zXrd5IuYBKCPVHMo9BHwOwt7Cz8eZTZVKjq7jY3TBb7pMGl30bbZXQ5VUgNJGLazMEAKxGEa8OQg9BlBbr0XrLC+RXEggAa80hBHnXMv/MIsSfwmIuFyoxAKM2WeOmUrBrFFpIGRyMOx1wuzPLIRm9fvxREcHJr1e/N+HbwCLSRwt3o+Qd4VAICxaz/HC8y0FfXVYK3u+nyGRQCU4uNDBwJr4Qh8UQZqD8/IFm8kAxxrJSIgshtsdQNehUZgPTCLU4sAqyeIW90tBHcm6Jn3ehAhFbZkSI96Fs4dO2k0orRBDqGXCxfejRiunhcsqhRLSBA9dBguOjxvBi7GgyLJQ9d2REfz3oYN5eBaEQkDECIFASMkLzzajp6twnhgCpQC9RSGsb9Dna+hr2lw8FETgt++i7+EDsP3Pu6hIzIiPRq0GTm9wRY9ni7YYxglHQVxzY91e7JQVLekKm4oNjXocM+S3RVis5i762JjXiamAF45QAP0xC8orxJCwuXCHZtJORrcHCiYfUs7i21mKPx09ivdGyVTg9yNEjBAIhAUkEgk89uiBwn3xsJlgX6HGmMuFo5MGrKrXQi5ZudZMX+lMiyGXz4GFEaWjJdtK9BjutSAYyq5mRM1hY/OYFw2tZjSkeQVPp2ea59aC5BOX04++A2PYylNDwEovM99YV4yjpvx7lZhGvZBz06vbGPU6cSI+AY1IOPd+hxPFPAmqZYqsjsEXfv8Z7BFIzQiBQEgBZetOTeQtFGUfqsR++8xAvM4pM2RiPuo1WvQM5beGJBUnuGHs+OxusAJRWNU82HjAVqkKbR3Zt/MyE4CudQrDvcnnpfCHgB2lS3bz5DM9sxxdR8egkwsRqhPBsETdRW25Gu2OwrwHZrsP1SIF/NzIoq6r82fWVBTJYRma+1mk5gdRbC8vxZHJCbq2JV2qFNmJGEJhIZERAoGwgNdeaS3oq8KILjz5uoJBtDrMdJ0CNQ22kMQYDByQxDG8TolYkwoeaQwBdm5D2RoFAhhOCRGK4q1Vy7YVFyo9s1SUpIwrhnaRqI1eK8VoxI1IrHAD6obGHWiQatNe3sxY3K32+JgBmzUlyQKXNGAzGKiQZ1dDc66SiHuRCDfTP88kRIwQCIQ5ULNjnn+2uaCvik+4+NmDqlOQl0lQXlx44yqxSkAPZKNOvm7x/NmxmeFDAqsvaUDV5kqI5EK08ZbeWqVSVtD0zGL07x+Dxgisk6uhFPEoH276fqVUAA8/Bm+epgYvRdQax2a5Hhzm8nUsg34b3VGzGCcNMwJwKXZoSnFdWR14LDZMLs85PxE4kUggEbcjEelBIrQPCf9TSMQW+uckPL+kb2CcWQdbYgdPIBDm8F8/eQ7vvN1VsFelZFMRjiiXbzdlM5nYXKTDiS5DJlH4tKE6PJlF3Dkn341MNYb7LDlvm8tgILyEFSp1hd40EYK0SIYBVwBu/5mpY1B9TwxJTIzhQwHw1HyM2J0run+piAdbkZc2LVsKlV0CdzC1fwplaNZQooEnEobR60Zo3qRgnVCCCrEUnWNmNJUUYdzhwpTHiwqlHLdv34SPrF8DAWdlu6dyJZEIA9FRIG4G4lNAzIwE9XuM+pv6aUn+xKzaJ842MJSPzhk0mIgOIGG7CQzVM2Cwq86oHTwRIwQC4TRvvdGBe+5+oWCvCFfMQeJqNYac6Z/01hRpYTe44fDkt8OFSkkMRueKokaNFoZDyw+By5XdLBG69yQFH0/AQe32WvQ7fPAEVs5sTVomwPDHklfKQhYX8S4FXN6VNXuj0DYJMOZb2tl1dagIQ7bl01nlChmYXAai8Tj8kQgsfj+axBr0Ti3uqCsX8PHJzetx69b10IhFOBuIu34ABJ7KYA02GOoXwGDXzt2O4/NgcHeBIboNhYKIEQKBkDaxaBz3/eVtPPXPowV71XgSLljXaNBrn5nemy5SPg/VAjm6h/InFHRqCYbjC+sRmiJyTIwWro6jTiSG46WuBUWrUoUI0SotHCvUVrzq9mIcVg6e/nsjvwaHDxS2fkXCZ2BHIxsCXgLUoN6uUUBdLcT+yeXt9wVMDkRWAV1blA7UQL5t5Xoc7EsvFcZhsfChtfW4c/smrNKq8X4lETqMhCND8SD6HJiSby/cju+PYCgeBoNRuIoNMiiPQCCkhSvsx29+8zJaDg+j5jsahDlR8EIcML1M+DtCmNif+wmKL+MBV6qzEiIUVIj+ZHAKWxpL0Nc3hVAkd7c0ehspShY4pXygQFYUPCYTzBOmlN0zbocPlbow/BxWXp7fclh1HmBW5qM9NIyNa6vh9USh1HJw7JgN+WzyYTGBGz7YD1c02alDNRmvKwFE8e3Yn4avWiAewYYSPY4Pped9E47FsH9oDFsqStBtNCOwzATmSCyGp0920rcLayrxrct3o76osA7E2ZAIPp/ZCkwdGKIvzt1GIk7XiTDkvyyoEMmE98dREAiEM4I7EsBXjj+IdzZ1IPaVGFqYw+iIjaOZPYRj8gGMXWKFUMvL2dws9gEl+h3ZCZHZHDcaIdWLUK7LrbhVJhZAWjzXv2Kak1OT0OoWz23nwpY4D5bxxV+HkS4DBCMWbNRKoFeJUSgUVUIMhOa270YTcXRxBzCmGsHJWD+2bVfmdZ9XbWGfFiKzYXGHUCRMz5BtNG6HmJeB4Rkj+ZmRiPmo06rSXu29wRHc/MA/8Fxr4WqnMiURsyEROgiE9mW0HkP6AzCY89JPwZcApnxB2uZMQsQIgXAeC5EvH3sA3S4DgvEIrJGFKQtPNIDiO3I7MUs/UJxRjchyTLjcGA67sWFN5s6tFToFSlcpEZDG0WNJnRqgtimrliDfrBFL0PPW/PF3Cwn4Quja3wfroX7UsRhYV6YEhwor5BH1Jcu/pxPM/NbOKOSp61HcUQtuXGOAjLv8czSG3WAXJ7BGl1nEgppL02u3YUuFPu11qAnI333hdfzolbcQpnJKZ4i464eIm3ciYdmJhOMOIJ5BgTX3IoB35Zy7EokQEp57C1onkg1EjBAI5yFU2983mx+hhchynGAOo3RXdlfJshIxTtjzXxBKFSgeMRlQu1oDAY+dUnRQ0Y/ZcNhM+PgxDNjsi3ZmTHPCMgmFOnXkJBtELBYiR8YzXm+024jetzohNTmwSSeHJk/HZC5avpvJEvJg04UibNuSfkRhPpfXRsCh3OAAOJyLRzTskQl8sim9jiJLxIdWGPDLGz+Ap277JP7zqsuXbP2dJsFIto2r5zm6LsfjzW249eEnYXTlZ7J0pjA4G4F4NhOTuWBI/2Nu9wzV6uv8KsDgJoXK+wgiRgiE85A25xhOOtIvjHBd7kPl1WrwFZm1QMou0C7btpkLXWYLiivkUEgFaGoqQUOjDvpVSvSGHBAU8SDiz5wAG+p1dFQlXbGjXZ2/NMWGEBv2yaU7RpbC6/Sj62AvDB/lQP4vOmjWZe8iqlwlxlAovavrTv84WhP92Lwhu9fip5e+i8OfexwMJHBxmR11gsUjTkxmBoW7DOAvfUfRVKzFJzeuw8+vm3v1v5QgqVRn/tq1GSdx432P4eDQGZhrI7gBYFVmvBpD/Hkw2OVz74wOUkUnYAg/9b6pFZmGtPYSCOcRkwEnnhw7jOfHj8EVCWS8PgMMlHGVUIUkiDMTCLGjCDMikBwVYuS1uWkPjpANy6UieFbARGtrRSmOji20clcKBVAIBOCxWLRwyQQ+mw2NkQWPO7fulvViCSae70Cu6L+0Fm+WJK+QFVwByl8BPIbMLftX3VWMw5KZLpp0oCIP69g1iHEisMRdcLbx4fQs/74e/39PgwUTQqgFD32IM3X4h6sefYGFKUE1px5/Op5Zncwvdl6Nj69aT//+0LEW/Ndb7y67TpVcjlFLdmlDyvvm5Pe+THferCSJwEtIuL6R/gqscjDUL4PB4M1JzyBAFb/GaYHDYKQ3I2ilumneX9KIQCAUDG8kiNsP/hGPDO3LSohQUGPdx8I2nGCMoDUxip6IAUNhM9o2jGL1/yumH6dhJqD7ugSV28LYtVVJp0gKiXfWZNfZ2P0Beo5JpkKEIhiNorQptxZPKYcNz4ER5ApLxEZr1cx75ggHEPqwCExO5nZwJnXmJ2IqunUiMoA2/yhMQSdWr1861cFixHH/RybAApUGjNNChIKZcGOLiAMVe2FRdCCceW3Sr0++B28k+d7fsXUTvnjB9mXXEXKzm/g7HTEzOM9AuoZ/LcCuS3vxZHpm/mvMBUN4MxjCT6yYEMkEIkYIhPOEk44R2MOLD0hLly09JdjeUTLnPkqEHFUOoOr7anCELFR/S4v2+DhGAxbabjwSLaz1diEcWinaXRbwBelNuk1Fo4cBlzX3mR9F/9IIS2huFKTHZwXnc2qU7NamXcirbpBgNJRN/cFcEoHFIwNUSuatOw9jk/qZFCv6sJr5JkKJhQWhIeYJ1CszEwqWgA9/7jhy+u+vX7iTTtssxbDDkVEh63xM7sVn5RQKBpVS4V2S3sK8q8HgLawHmV078n6EiBEC4TwpWD1uH8rLtiKvujD0+wEoAgtnWVDRktg3o3TRK4WWJ8OR5sJbjPO5hbHzpqziKzcWZ7XuJpEUfQcGcj4GroqP49rUV+PdPiv211hQfvu82oBFUFyYnwLYaHhx+fPpTSHI2MeXWDuO6xULh9VFExFcVD2MTzRwsUZFXdWnJ7Hu6zoGg9d9+oT7ow9cimvrU0cR1nAVaGIowDXHcKWoDFv4GqpWAenyhV3bsKOyDGeESOfyyzCEdCvv2Uj2kp9AIJw1QuRPfXvw2PD+nLfFiAOWYQe9TZ1DDIdgYbrHEZmJvqh8RRiIFdbVk6pn6DfnfrW/GIfNBmzfWILeE+mZbVEouVzY9mVWl7Hotr5Qj9bIQn+O2fQLnKBO30td+1LRqwmlY47RWbYw5KnrRW5ZH8LXtz65rI5QsVPX4TgjJoBrQlMpsL1ChtaJJrSYlz7gUCyKX554F7+78Hr6bxaTiV9dfzXcoRD2D88UnJZyxHC+ZcZ8aby7UQerJgZ1nIf3QqaUk5ape/79mstw65ZkfcpKkwi3ApGTyy7HEH8FDFZ24vlMQyIjBMI5DCUaft/7Gh4aWr6wj0IQZqNxRAWtO/UVdIIJRH6mQN3n6uAVLF3AqOMrcKw1v0KEz2Bhk0gLFWcm572+VEefeApJNJOAQiKBVdYI3QGTK4ISMY5Il38NjQEPNI1LG8EVr5NhIpSf94MJ5oI6oJ9fZcO3t98PRmL5fWji+3CtQkUPFFwMX8wFtTC91MLzw104YTHOsYL/w40fxIYSHf13JUeCWnPqOon+ThMce83o3zeOJsHCNmYem4Xf33T9GREiiUgb4va7kLDfRKe4loS9ChC+v7xDMoGIEQLhHCaWiONvGURENh5RYvIH3Vh1dPGBYT5hDPYmLhSMEpRENdS5NyVSlyYtO/Grhti4eK8Pu31LDykTMtmos4owemQSmlEmagQyXCLQQzAcxa6QBhfGi7FBpKHFQL5xnSqSTIctMjkGjuVetEoh+fwq+KPpDa8Tbly6AFR6Qf5GxLf5R7BxR7JNt75GhiuaOLiy4mlKtqW9jY380SUnG1PUKD344hYXfbuigo/bm9j44hYPPrOOiS9uDkIvngnuf/PAyzg2NdNRJeJycd9NN+BOWQPCb9vR12Fa9phU1oWnxDu2b8IH6lfWqTQR6aWH2CVsHwPC6TmuMqQ/BoNxdk0fng1J0xAI5zD+WBh8FgeB2PJtmKwYA+bnksZc8fHFT76y46XomKI8M5KFmVpFFcqqRAioPBjkTiDGjKGUr8Kx45Tt+fJXthGzD+MdBpRt1i653BaOFp2m5MnGYvcCdsCJhVfhjRoJODVCnPRl3kGzGAN2O9bXqjE6sPxANy6bByabiXiORbviWjkOca10J2Y6DEs8YLMYSMQSKVM0ozI7kMcuaw/Dhy3rVejjDmM4HsUD5o/is9rH0l6fE7fgBmUFnrdbkVjkc2KLtQKnxvQo5f2gkoL0YGMG4I0CF5ZdgMe7k48Pue246fXH8OHKBvxw62XQCsT0RN7vf+EqbF5dhj/89S24l5n83NdpwmXbynCcbYf71P/MpDv3AuRMSXh/C4TeSX8F/g1gcLfibIZERgiEc5QBzyTdypuOEKEodUjgnEwWAjJVqa+w9FENTNa53QRmhxfNLVPoesMP5ptFaOhvhNBECYv0QuyB9UrUfagJfeIlIgCJBAL29KITUxYPokPZtS4vBhX25wlTvyZCDpv2M6GOkfq9t8uE+g80gZGjhbv45kqE4+kPzBv1O6G7oxSiooURkJLNcpjC+S0kHvKb0c7uRyiejIY0iDNLSzESNmzgtOR0DAnuIdxcn2xhVfD52KkvQatnFF899BQdFaT3w2Dgqssa8dff3Q4uZ2l/ECpQ03VkHNrWGFinNN2ovfAF2AuIJluh04IhBUPyHZztEDFCIJyj3D/wNib86Q+nG1W7UfrjBkh/twoHPrSwIFQWF8F/SIRobPFL9UAogt4BGzqG069NOCTw4bXyMEyMxUXTxQI9hobTj3QEg+mlNtKFmgAb9CbFkEzAw0ahAtuVWuwoLobWyUCkxwmdkwmRIYxwOIqTA2aItlRhzTXrIJRn18FiVGc+D2V/dALtVwfh+n8iSP6lGOWfLKO9SETbC+8r8Y1uEZ50fCKjdWIMKW7TKiBmZRekpyI+fMFJFAt5UInZOG4fhcHvQrNtAg/3H52zrK5Ihg9duyGt7Xq9Qeh5yTTUiL2wBdjzScR9QCz90QEMyb+CwcrND+f9AEnTEAjnKEWCzCfbnlyVOg3BjbMha9VjyLn8F7NWIUZfPHvrc4ptcTk4R+2Ib1XhENOOrublZ+jMJhTO/2CzaBEbtTwtREMhDPQvnHnvnZcCsNt99I1XqkTNBavAZQBRTxADB/qRWETQURfjZdfVw1MjRtzKRJU8geFI5idDW8gPG/yUzxVq71IiJGeCE2QjksLfI5/sd3BxtXIjJIkTaS3Pjg+iGoP4inYdfjPJW7aGJBXBuA/bSoV4dXxux9G97XtxcXEtaqQzJ+pbPrYdL77WilBo+dfBHUuKT2cgCFcgCJlghYzCohm0g7ObAEFmAvD9ComMEAjnIP5oCG0ZzJ5ZCur8UDO0GkMT6Z0UTTY3+Mzs7bKrGSJ4XhiBadgGOzuCzZIixDM8SQVDEVTxc5s2PJ8uiwW8BAND/Uu32c6HOvF190+htW8KnSYX5DtqsWpX3YLuV4FaCMVXt+CgPIh2mxWdo2ZY2ny4IFyBYlZmNumzGfDb8a5hEl6nGNWsGqwR1kDKWrpYOFuOOOI45K6FIX4JEgwhJuPpDWPjx9rwvSILPqrKbiifhLcwkkClj7577MXT6RoKlVKMGz+4adntFRVJ4TyV3qTqTjwF7tbKLkXDAENGFa2urDV9oSCzaQiEc4xgLIyvH38Yzfak8VhOJBhYb2pEc3Nmk3crG9Toci5f7JkKPVOABi8fHn4CxxlO1E2JYJ5Xp5IOHA4Lq9fqEOUCE3EvRgK523hfZJBiuDczMbIYIhEPpcUysLxBDOzvQ8mXtuKwM3Uqav0qHQ5y8jekjarmqVOooBTw4A5G4AyFcOsqJ/TCSbw4KcUx51xHVQ6DgSV8zlLSKGHgNr0fF4uoLpt04cDI2I233Qn0B9IvHKW06uGJXZhMsc63116G/1d/wem/nS4/PvHZvyBAV8KmRiYTQLZVhZ1banDbtg0Q8xba1xeCRCKGhP1WIJJGLY3gFjBlP8b7nXRn05A0DYFwDhGKRfCt5r/lRYjoI1qwOuRonshMiFAIg9lfrRniARiEyQLU9WINJjoz3z9FJBJDR0uy+4bDZmHDFk3WHTZXRIrgEcTBU+bPUtvnC6F3MCls1n5lFw56U4scyudiUugBlimDWc/XIYo4OoPLv16Uruh12DDTjJTAVaoXwEiMYF2VAPs9H8GvB/j4VGkcN2oPwhXT47OtVeAxGQim2d3T6UmgnO+Gl7EefNjBghOMxHKiMoKSxDu4RVaMk4Kkr8d+twe26NJF2JRdyToVH5MTC8XI7zrfxaUlq7BKqqH/lsuEuOnDW/DI44cW3Z7LFYD7rQlcU1ZDtwivGL6/pidEKOI2evjdwhk052Ga5p577qErlb/+9a8vuszevXvpZebfenp6ctk1gUBIgTPsz9n2nR1nYf1UIyb2MNJOzcwnLMjd64MNBszN2UVX5hOJxhDq94HHzPwrT8LkwDHghHHPOAaOLZwMnA+cnDh84dRqo65cjeHw0oXI22Ll6O20ITIZBzOLST0XFcVoIUKRSASwS/wYnt30Gj6qfhDMeC8UjLfxzKY38Pj6J/Cd2vQ7lT55sghXHF+Lz3ZfAnM8WTwaZyRFwVIw45PYxH6dvn1ZPUJ7zCyHXJBagFMdSd87+iI95G6am2/YCrGIt2y05S8PvotX38x94nK6BmcJ7+/TXyH0OuB7GOcKWYuRY8eO4a9//SvWrVt6KNE0vb29MJlMp2+rVq3KdtcEAmERvNHgnBx5unDjnGRtSLgUyiMVaD5qRmzWl3cm8Dhs+GK5d7NsEhchHEm/tXU5LDYvdnKSjpwZuam2AWZTsiA3WqCBf7El/NPbh6awzqlDFUexqM2615+MHIzZXNjBLAc7w6/2j1emiKbE5xUNx8eQSHiwU0qZ6GUmNgd8cRxw6vGpnk/ja/3X4AHLrWm3fjPjRijY3CXdWinCGMINVWIIUnTmtDmM+L/emUiIRMLHpz++E0zm8sewelXh7dUTcT8Szm9lZBoH/nWA6DM4r8WI1+vFrbfeivvuuw8KhSKtdbRaLYqLi0/fWKxzo+iGQHg/YQ66oOZJ6BuPmZ4b4xp/Dfh7ddg2sgm9r4dgzKI+YzahSBTmfhd2KvXUwN7MSSRwMb8EQ0fSnwWTLj0nDNBwBItGYvRsEaRM7mkX12quFBZz4ae0UumV5Wz93UNhlFsV2JGowDZ+GbiY+Q5VyGeu8lv6Tah1qVHBTb+barU4ve4Xmvgodqkyi77EwMAvh9gY8CVwzBXHfWPUvel/OP6ffB9+oB1EvSDZbpsKSqswOAdQK0v9vP+n812022c+U5/46Da8+PhX8bP/+Ag+9uHNqK5cGLHR6+Sorih822zCcw8Qy8C1l38NGLJfgcE4dyotsnomX/rSl3DdddfhiiuuwN13353WOhs3bkQwGMSaNWvwb//2b7j00ksXXTYUCtG32QUwBAJheXZq6vDqZd+nf3eEvPhz/5t4dvwY7ccwH2lMiNKhKrR3JWsVQv78XfVTUZXWTgPWlaoxyQ1gKrDMXI1T6PgiVLqE6OgsTDqE8kip5yhgiSxMNcgo59Q9NlDzZOUMQCjkgcn0LFeqkTPUO+OKhJctdvU57HQqx+xOvpblSgUYxcBgyAa3e+76I1YnuA4WttaX4VhwOc+KBJgZTs/7UnkHDtga045uzOezlWJa72Uy1Z6RsONDMhd6AktfQ1dLw2hPkdWKJOL46FsP4IqS1bizbju2qMvoVM2u7bX0jcLh9OFE2xhaWqnbKC7cuYouKygkieCbQOCJDIXIb84pIUKR8bN5/PHH0dLSQqdp0kGn09HpnM2bN9MC49FHH8Xll19O15JcdNFFi9ai/OQnP8n00AgEwiwUPDGu4W9FT58fHE2UPm+MSMfhZPiw1rcKw4cDaPfNFE12jJigkYpgOXWyywf9E1aI+FxsqdXhuG3x2SDFEhEauSqc3DeCvmWLHHMjag0DKXzInJHg6bupEyVVYLoSVF9UjkP2pTt0HP6F4mnC7qYt8bngoB+2lEZtEUcMXAELYhYXIiYX9lgAvvh84cNAj2876oXpG20JEofx3dpq/GIgc0M3HpOFl61OHPd8Bp/TjWIz7620102AhSvlSuyhO7VSiwQm9z3cWLUTL44EEZ2XsqSE3xvGXvq2TlFCi5KrSxvAPlVLpJCLcNlFDfSNYimDv3yQiFmQcP0w/RV4V4Eh+/U5J0Qybu0dHx/Hli1bsGfPHqxfn6x0vuSSS7Bhwwb89re/TXun119/Pa02X3jhhbQjI2VlZcu2BhEIhBlMdjdu+/k/YHPP2HRTdthUO+nQeOqCyA01JTgxnP/0CL3tBj0OOheal7EZDAh5XLiDIVQpFFC72Bhqy66DJh1YTAYC63lwz+vQ2MhRwv6GCfF0pvvlCZ6IC89WEewpxMbs443zGHMKMLOlTCmDXeODLTrXun2jKo7frP8DlYOZc/909KLVfR1GApV4YVyOC4vCuKOMShEI8NOhW9Gctr8d9boysFFZjNFgssj6eq0KKnYIDYJhNHHeSztS4mbuwP9ZGHAtUZvEDm/H4XEhxmNLF/+WCKW4fdU23FS1AZJZ06ALDXXqTTjuAsLvpbcC70ow5P991g3DS7e1NyMx8txzz+HGG2+cU+8Ri8VoYcFkMmkBkU4tyH/913/hb3/7G7q7T004ytOTIRAIgC8YxqNvNOPRN5tpe/ZMYDIY0KrEMNnzH51oairBUVtqodNQpEH3VLLtViHgg9caQiScv+LV+dTuKMFh34yLqojJhuYdP2IFvhKeT+UHq3DYvPQ02XK1HMOe/M1HKZaJoS+WIsyOojloQPxUCu9320xYK56bLrin79+xRmpHt1uBPYaZz8TNVQJ8pux34LEF+Kflw/j7xNLf+5TGWK+WwBPx0ftzRRZG3z5fyseHJX+nf48m2GAzlirmZMDO3IX7LVF4Y6mXc3Zfh/e6HKjTqSBRcmDlejAYXTwCJWJz8fHqjbitdiv0oszdizPtnEHMjITvzwD1+7IwwVA+elYOw0v3/J1RASuVXmlvb8fJkydP36hICVXMSv2eblHqiRMn6PQNgUDIH9QV/ePvnMSH/v0B/PXlwxkLEXobiQQ0kuzdPpdidNCGTcrUnQki3oyXgyMQRM22wn4/sJ1zRYcvHoVKu3hxZCFQVytwzLrQVn4+CknqgttsmXR50dxrRHunGRtCeggZXHysIoS1knfnLEddppYIAvhdN3uOEKF43RAHkxFFImHHTeoH8eymN/D7pincoIuDnaI+aYe2BGP+KTgi3pRChOI+QxjNocthjxXjloGb0RHePedxW0yP/5z8/PTRQRnfj+0SqsJnIdSxnxhM7qfPZENz5yTCw0zwqMoE6vBSXIL7omE80HcEl7/6R3zt0DNotWc2giATEu6fIOH8YppChCKOhP12JHwP0RGVc5GMEk8SiQRNTU1z7hOJRFCpVKfv//73vw+DwYBHHnmE/ptK31RWVqKxsRHhcJiOiDz99NP0jUAg5I8hkw2/fCKDseOL0D5sQnmxHGPm/E4r9QRC6OmcxI66ErT5zfCfuqKtL1Kj0zQ3LdMTdoDDZSISLkykYnDQgos2lKAzZoctkpwpU1apPN3CW2io00lsjQgx8/KeHSx24aZ2dE2YsWuHDuAy8fjkx6Fg++EIyuAIcyBkR2AKUGmLhaKWKogeC25FtfBg8o74KErZo7i9CLijWAZbfCt+PlCJfl8CxQIJxgPL16PEE3H8+xAlLi6gC2pZiOFI8Cr81aTDj0uPIMZgo9nloGcETUdNdvG78RaoLpi5+R1WVA5vaG4azuT0oIylBZvFpG+RkiAGw+YFuiSWSOCViS76RhW5frZuB67Qr0a+oMTEe/5PwBq8ECqWBSrWOGRMCyRMJ2SshbU/EN4BBruaSrICDC4QtwAsair2uUXeq2AoD5GxMbpvi4YSIN/61rdogSIQCGhR8vLLL+Paa6/N964JhPOatqFkuJ/Ku+dy8cRhM8FjF65Arq3PiGKlBKpKCQKIosO0MHRu8wewa2sJeg4UpquGcmftOjaBtdVFmJJyEUzE0fZGL9ZtqURbT2FqZmZTvasMh8zpucEuZoaWK5Sg2Lxdi33eAeC0cSkXa2UqtExNR2xS79sdDuOuI1vx35sVWC99ee52Ey4oGW/iV3VitAVvxIvWKAYzLAaWcQR05OVZWwVMQSu+NrQeAhYHN2i5iCXY+I3ls7hR0QwOh0qnLBTNrFDqyNq4bUZscsxMfGb7buxcW4pejxltdiN9M80aG9BincDNVfktZLaHffhuey/89OwbKptQeeoGfKpMgq9qHwGXeWqfrCowJN89Z+bPLAWZTUNYMVr6J+Dxh3Dx+hryqhcAs8OL5v4Jukj12395KattUMWSq8u16BwrXAHpNGs36nFkcvFQuFokBLc1iFCwMJNm1+s0cPZZYbd4aPOr6cLV+s3l6OhbPn2SLVwhB/4dEli9c4tIU0EdkVTOpyfH5hM2m4E1WxU44VkYsWAzmOCx2OCz2KgUqWD0+DHmSR0x+lwdA5/UL9280B/+AH4+srzrajp8Vi/EAbcAPR4bakVK3Koz4BXHQlHHDpbh2ZfL0tpmsVSM7159Ma5qTLbxWoJeWpRQniQN8mJcVVqPfHJP+8v4x8iRRR+/pkiJe8r/RP/OkP0CDMGNOJshs2kI7yteOdKNnzz6BjgsJh77wa2oKErPLI+QPlqFGBevq8Zvnpyb+8+EddUlaBkqXK58mvrVRThhWfqEb/X5oVonwGpWEfoOG6EukSAciMJl94PNYSIaySGFk0iA5QnTQoRidgdN38lxNKwtRfdgYQRZ6aWlOGhZumh1GoVIAFsgffv1dBAKOCjdwE8pRCiodthoNEzXUNhCfmxRViwQIw1yKRrlUXxA+89l91fKPo5dyttw0G5N6XeTCfcbKAGXFHEDPjvecVL+IAvFSJQ/jnXl69A2tvw4g0m3F//6z5fx0ap6BO0hOo1C1U5x2Sx87gszA/byAbXtPabOJZfZLZ+OzPEB7jacL5x7zcqE9xXUP9//vXIE//ti0opZIxNBKjw3Bju9nxibcuCJd1vx4sFOeINLG2gtRSReuA4WFouBhvUl8ETDaLGkd6Kn0jUHEYBwAxc9ES82rC6CFDIIYmz0vZu+L8Y0XBYT67VqIBhFT/NMOnk28VgCw51G1K4uxsBodoP1FkNVIcNRe/oip1ghgc0SWKpTNiOUMh5Eq4FuT26RH60A+GLVPWktK2A68Bn17yBifRl7LEu32WbKPqsBl2g3wRdbOFyuptqOtrH0XiA+i4Ujh4fgmZdO+suTB/CN2xY36MyUqaAbttDS04j7/WqAbjoJImG5Agn+lWBIvgcG69xu+iBihFAwqOFkd//tTbx4uIv++we3XI4PX9BIT1Al5FfwfeuvL2HAkNtQOa1cjK48pGco/6im9XoE3GH0D86czNes0eGIKbuoiz+SrF04aU4en0IgQO26Igy2TWV0PlaKBOg5sPwgwWgkhslBMyorVRiZyM8JlI4JrJUimmatCIWQn9pTQisWIRFJoEKjoJ9/gkFFd+Iwe32YcKV2rC7RihEu92PEn1nbdiAeWqB8Bt2Zi9awnw89Yy08zDG4Y/krFH7PYsdFmnp4Y3OHr8ZlVARibsPFYjRI1Bia1eo9zZNvnMCVF6xGU21JXo7VEfbjjppdeMXQBnMw9ftwsawLYMgB3m4weBcB3AvBYKlwrkPECKEguH1BfOsvL+J4X7IAsamyGB+9cG3BrZXPFSjnx+ebu/DayV4Mme34949chkvW1CwQew/vOY6Xj3RjdCq76bqzoYpKp9xLX7WlkwIoqlPg8KQBEh4XXA4T4VPpFBcj+4jNfDzBINgSBeobdejtXD7lQRmrbVarMdSWfkFsMBCBY9xBzycxTObeWVS1U4/DGQgRivkOolRfzSa9Ht5gCH0OK2zz6k6of69NFTq0GOa+JiIBGy69C+5g5rUnnc5JbNeV46jJgMQpQTLh8yEUE4PHSu/z4ouq8eRIAr6oCRwmDzt0azEWa8/IDn4xqMGQR20xbFXp4YudErtxNryju6hPXVrbcNPFpAuhCsF/9n9v4OG7P5WXi6gGmQ4SNg8PDR5I+fgqiQab9B8FOE3nRdHqbArXM0Y4b5mwOHHHr544LUQoOkYmce9T+87ZHvm85pTb+nDjbx7Bj558A4f6xzDl8uK/X6Empc4VKz+4/xX86YWDeREiZVo52kbSq2NYDK1aDH6FAJ3mZHeMJxSGsFqE2g1FaNqkh2uWq3KubFOUoLXXiDGvG7qSZQyqEglskCrQdWSYFhiZ4POGELR66eeWC2weG8PCzJ5/pUYBLoOFWrWSDkxsLi3B5lI9WkYM6JtMHQWj/r0o47bN+rlX8nWrFXCfamHOhhbHGORiNjbptGhQqqHmC8Blpi9cX7d+Ar5o8rWPxON4z2BCUaIJjKxOQQlUihRgzVIyG1UKxJCMHnD8q9Cx/wq8dTL96ItQwsWHL12b8rGhCRsefTG98Sfp8Pz44kMJa6XFYHDXn3dChIJERgh5by/91/99Hg7Pwjz3Y2+1wB8M4we3Xg7WqVkQhBmMDjf+48k3cLh/YS2DLxShhQoVWbK6fPjvp/fhrRMDeXn5VFIhPcckF5lYXaXGGDxwu+aecI1uD33LJ1SUY3w8KcDs3gCiwjjKypUYH1uYTimulqMiwkPXu4NZ78/l8EPFZkEpF8LuXL4DJhXll5fhoDU9sSfgsCEW8jDudGHYlnyeGrEwbZv+9vFkKkspE5y2mXfzfbPad7PDGw2h3WGkvEBxU7kq7ahGOCbE4yPUDJu5Yujo1CTq5atQJObAFOtDGEtHzuokahQJuLCEjHBHR1EtEaGIX4pAlAFDYAiheBiN7E34x+tCROOZDVe9bl09br9gEzbWl+IXD7y5wDDwweeP4NJtq1ClV+UcxXl+/OSij5cLlThfIWKEkDfebO7Dvz/0GkKRxfPJzx7oQCAcwU/uuAqcNB17z1ZeOdkLjUSE9RXF4C7h20GJjKePduBXL+6Db55R0zSTTg9+8exedPVPomM4f22nGrkQDCYTk47sBUNTkw4tjqm8zE5Jh2giAU4ZD3UJCXq7JuH2hxDhxaEtksA8lXweLDYDpY0aHBNZIWcVAdk3GNHYLB6IJHxsqC9B5+AU7VOSLgq9FMedSw/Cm13TwuGyaJfUOftPow14NkIeB9UaBSqVEiR4cRz3jiJfUHbub035oOb9Cz6k/t9ll9/r+CRsodRRmR6nDT1OoESkh4rPh1wUQhhBMBIMTEbn1hcFEiMY9M18xnwxH4Z8vXOWsTFCKFFqMGHz0h0x6dKkL6I7qq7e1YCGqiL84PcvYXDcOiclSqVr/vLvH6fbwLPlqHUIk8HFIzbjfgf80TCE7BlH4vMF4jNCyBnqZPrIG8343TNpDnyiRMlP7jin23vbxky49Q+P02FzHpuF5799O0qVspQig0rHHOhb/mRBCRuXyZfSyjpT2OwEbroxCkFpM5ieNXjxJTkmzZmJCaogNciJoeNUWmYl2bRKj+NTBpSY+HC7kye6jcVF8MRC8DtCcNn8cF7AoQtfNQIhFA+ZkYjmJ0XYsKUC7b3pp7S015ejbWr514g6uqayInQYci8i3rihCEcZyxfq5sqPG63YKZ2ZZxOO8xBJSCBizZzIP3/ihxhIMzrGZbIQjsfoypQLykXwxJ1wRV10FKZSEkR4wcThhVyvuxo36j6MEZsD33/mdXRPplenI+Ry8NndW/DFS3YgGI7gt4/uxXPvtM9Z5lu3X4aPfWADsuU7zU/iNePcbVKwGSzcvfFGXFbcAKPfiWpJfnxZztnZNATCfKjahZ/9/a2MhMi0J8a5LM7ufubt0y6ooWgM+3tGYPf66cfebB+g60KeOtKOG3/zaFpChMLi8aGuMncb6IsuYOKzX+kAo+QtBONO+EUHcdUn3sJdd3ihVaV31Uc9NT8nekaEiEzIR6t1EutVRaeFCAVHxMa4PoyhVSFUXaE/fb8l4EfJFeV523/AGYBaKcaa2mKsakw9a2eaim0laQkRio0VurwIEYqgrXAt2rPp9JTDFF6HWCIZ5Xx08qvoD+ykf3dG9TAEN2CNPH0RSAkRCmqNA2M+KJglgK8WZdxqsNKso3hl8g3Yo1asLtbg/ts/iroidVrr+cMRvNSW7Mjhczn43mc/QIuP2fzpiffgSpGCTgd3OIC3JxcOhxWyuPjj9ltxrX4d+CzOOSVEMoGkaQhZ4w2E8N37XsahrsxCwJTPiIB7do3BzgSqrqOprBhdhpmT0N3Pvo0/vXGY7or510eyc0elYPEzv36gBMbll4UhVbnB4JvhTozCMy8IEk2EEJXsxzW38sF2bsNzL4pgcyx+EqEky2ibBZs26tBiyq3wNVNq9CocmZwAP84+3cEjXy/FUMwHsys5HO2Aa26I316Vv5TgyEDyfXWO2lH0kVUQjPEQ8CwsTmVzWRiTRdJt6KBN3vKFQLkyKdDnJ0IY8l6P64qbMODXodfNwZ26F+nH3rHfjIcGWAjHsjdte3csGdXYXS7FcCi97cQSMTwy8ji+U/812jTugds/itsffBKDS3ic1GpVqNEo6W4yu88PpYiqcQE+esV6vLC3A32jM//LQkF2KZRXjO0Ix+e6CSu4Ivzv9k9jjTw/rcNnMyQyQsiKSbsHn/n1PzMWIhRUjv/d1uwLCs8GvnbNLjr/PxsqMpKLEKHoNJohFVPDy+ZSpJZgdW0Rbec+mwu2MnH9bUfoKIiHd4wWIksRTQQRlO3D9Z/eizs/5YdcunikhIr8sMKMMxIVoegN2NC4XQ/1Bjm67VYMuhbvKmpzWyCvze9YeKFSgDbDFKTbtSkzZxWXl8PkWj49QaXxtpXo6ZRdvmDEGRBSg9UKzAf1fKyShPCfXQr8fSQIBReYCG/BfteteHKcQ1vKT0c7skUr5CACF8r4lNvq4vj8TQgH10GCzXhjIoxnxpJGaCqxEA/e8TFUqRdPC1s8Xvzog5fjH5/7xGkhMn1h8YWbZlxYN68pz7rF97lTxzOb/9xwAxEipyBihJAxXaNTuO0X/8jJZOs/Hn4dRuvKTEg9E1AnzUsb8z+DhyoSraqYW9FfrlfAJYig1TkFZgkHjetLsLpWi1s/EUbVBa8hEM/ctCuSCCCs2Icb79iH228JQrpIVi3IzuxEw0wAG+ISrE6IkG1UJBhNXl1SNukHHRNot6WXBhFcnN9Jp/LypLjpMlogu1iHqq2lpx+TFYtx3LV8rYJaJEAlX4YTfYa8eG5M09w+Cc2IEg0sHUQonOPxM+M+PD46E7HYO+XC51q245c9KvDAhzWYe7SHsql5d5gHj1+8pDAe8drR67bgoNkIc9CLn3e8jH731Ol6q4fu+BjKlakFqSsQwn+/Obd9fpqd66uwdlXS/XT72oqsnkOfexJdroXdUBWic9/MLF2IGCFkxLttg7jrN/+k20tzgRqYd8cvH8fzBzvnzAUpJIMWG/6473DB9xOKRPHnNw7jheaF+eF8YPJ66StxSoSsWa/DcNR1epCaJxhGs8GIVqcZCfUhJJBbh0s44UNUtRcf++wBfPoTIfBOndcqy5VYtbEY7VOZ1TjQPjPPjyDyQDeu7MksSywV8NB2KiqSDW0JB1i8/KQvpDopQhUzka9hiwMnAnaUXVmJyiurgAYpmlQabNPrIeQsnpKslCgwNJkUi/k2BDQ6PBg47kb4BBs7Yis7nLJBVoIxb+5GcRSOYART/jCGnYsPTKReuiZF0Zz7QvEovt38T7o7hUIrFeOhOz+GUkXqIsqnWjrQblj4+aLel+/ccQVuvHwddq5PTtfNlOfGUnuL6AQLi9rPV4gYIaTN4++cwDf/90UEw/mZomp1+/GTR/ZgT/Pc9rxCYHC6cedjz+B/3j2EZ1qXHlSVC1Sh6o33Poo/7DmESKwwRYRMFgMVa9ToCzlop81ILLXgSMTTuyKmC23ta+b8zZ4oR/TpCxF67GJQJqChuAdxzTu4/VYX1m7QoytiR+tk5sIgwWSgaGc5ZGoxgvbMaglqS9UInIqKZIMzFITuqtwLWauvqsVELRtd84zHYvE4Tk5MonnChKEpO9oGTTjRa4CGKYB+VheBTipGmVyKDeoitA7MXC0X1J24wHqf+sxQN3VYgIvHdSgZ42ONqBhbhZXYLqqkvUnmI2PzIWJy0z7OQWcQPObin2mlYGGaa8hrwc/aZ1KjOpmEjpBQP1M9h5++9HbKi6NVFRp8984roNdmnuqLxKN42dC64H4Vj3KwPXdr5zKFFLASloVydHzsoXfxu2MnTttB55NXjvbgqi2rC/plfO87BzDlSXo3/MfLb6FCKcfmspmOi2w4Zpqgu4l26MvQa7LS0ZA3O/JjRJYK2uq7Vo8TEyZE3ctHPIK2TRAUv734AmERAkMX48RRIYxmLz721VEwT65G25+YmBql6i+SJ8rtvksg+txeev8+0SGMh3MLLb9e7AM+rMwiKpJ7p8mkPrezclGDFofS9AyZxmhzQ8TnYq1GC6GQg4FxG2yBICYTc425Up2w84WT66UMQubAoAREnnbZJNTDMOqH9gELJoJ2FFcq4fqAAN3MZNRnY0kZOBwmPP4IuGwm3WHWZ7ZhS3kJjnhH6GU2S8pgd4YQFYUxHlwYVaFO3OXCUvR7U9ebWSMDqBQ30uma2bwwcRJb1VX4cNlG+m+9QoaH7/wYbnvgSXpi72zaDVN4+kQHbtqc2o01G2whHz2TZj4lgvzWMJ3tEDFCWBK/N4RffPMfOLq3BxdsKcdxWRihPKdV9rcP4/5Xj+JTV2ym60ioiMLqsvzl933hMN7unfkCo7b/xSdewK9uuAYX1aYfdqXWm/R5YPB68PJAL/aODkNiYYMdY9LzYwpJsUIMkZiHY2PpD5p76YAYH/ugDgxeim4XXxlevH89/EHKaTJ5RRmzrIfzEBdTo3On4R75xzguX7UDuDSZ4gqEV6ZtdH5UhOqgyZVutw07N2hgPZndNF5mvQwwZm6r7guG0TO+tIip8YsgUwthQxA9Lltehf9EWxCb1laghSpgTgD1LB3YU1wwimIQRXg4zMqgoHz6358BrObo4En44bLHYYsFsaFKifHuKZjHnaj1K2EUJ6NfJ4ypo2hDFifYQiY2C8txdCQpfuvooXALxQhVDFsu1C4qRqgDa3onjspRAXquTGBSOvM+/Vf7S2AxmLhOv46+6ClTyvHgKUFCtczP9hrhLWFQmA1FfCmUXBHs4bmp7RIhESOzIaZnhEWxTLrw488/hKGemZPZqm2V2C/KvlVvKXgc1mn31u315fj+Jy9DeQ7GaKFoFE+e6MB9B48tuAKa5gu7tuErl+wEe549PRVyf3GgB++MDcPgcdO3Kf9cV8ctHB16egvrs0FdRTZW6NA5NYVgJPMUxfoKOTbtejx1caSjHmAFse+pTTBZffjApWKo/BPY93MnwsG5+7rqTzxEG5LTlx99/mrQGmaFkPC5CArjpyf35oqcx8eaVgYszZm9d+oqJbqKoqf9Y/KN1M2gnT4pZBI+yspV8PNi6HRaEc6Tu+3mRh0S7ARaWmfEAZMaIrhaCUlXDG1rnTBxl64HkzOF4I6L6PZ86kTe0KjE0aHk9q60qhA66UBwlwxHBOnNTKqQyTDqmlvMXlzChyk0N3JUJpbjRzvW4IGRvy26Lcan+TCP2FD/uQ3Ye/XC//mtqir827rrUSVOeo8MWex026/V68eGMh1+8dGrFy1yzYUvH/kb9pn75txHTe/9xpqrcK7jTtP0jERGCHMIBSPobR1DZ/MIXv7HEdjMc78QJjpNYGyTFSRdM9tG/kjPGH7/3H786vPXZ7QNSkSM2p3YNzCC/zt0HBbv0l+sfz5wFC0TRvz6xmtQJBEnTclGBvHro/vRa1+6W6gzYUVdlQqDwzbkEzGfi5oSFaKIo2/KhuaJ9KMh82kddaKm7HrIK5LeD3NQJA2eLrxjHGDEaMFCnWdZv6bqR+aKkbh7plgzGJk7Tr7QrCrT5CUqMrt2hEuZlWUoRngbVEgY82NKtoBEgk75TePyBOHqTL7vci4b1ZVaxMVM9HoccEWyHzjYnGLCMY/BQvgpG/rMHqw2a2GiTuJLpEydcT+2lelwrHuSbpcdmpz5jtijtgFXUL+lP7xxvhChKGcr5ogRypn16rLVdJpmKXTfVaKsrxjhDT5sVOpwwj73+R6zDeNj7/4Rn6nZjc+uugjVGiUeuOOjeLd3GHdcsBlsVmHKKBvl+gVihKRp5kIiIwSa4d5JPPvQe9j7UisiyxSoiq6txlAgt26adKiuUqGsVoUvX7wTNdTk0jR4vbsfX30qcy8PpVCAb169C3/vbUfLVHoDyaZDx/UxJQaGchQkieR8DLaAhZMGU0ZzNZaDw2Li1usHwRSlVyiceHUXTjzsg+PUnBeKK38pQ2xrC5gMNv7yJH22WREoYRYWxuHLU1RkmhqJHKVBPpj+OBzvTcJH2ewvQvF2HRxr+YhaIjDOOvHmE+oUyLMvH/2gohhV5WoIVDwMB10w+nP/P7w8qELvwWTdBkXVTeV4u2x8SUFSxVRB28mHxhxHS20I48z8RUubRBr4J0Io0UswIrfjw6sacVvdFmgEIoRiITxreAmeqA++qI9O2Tgji1sECJlKiJh62INsnLTPTRWVCZX44doP4gLt0v4l+eC9qT586ejciM7vt92Ki4tW41zHnWZkhIiR8xgqCtD8Xh+eeWg/ThzoT3u92mvrcSCQ+9j65Vi1uRgnJyfpL+D//si1uHpN3ZLLHxkZx3eef23RlMxi1JaokBADXfbsUi48FgtrEmr0D2Thu5IA1pUWw+sN0Y62k/AXJOiwc7UcDVseT3t5pqUIhj+shqnHjZrdcki/nCxg5SSE+NNTF6KOK8do1IN6jgKt4fxGhmazaVUJjkxmHxlKh22SYjj+nPrzL62Qou8CDi2GasNSTE4VRozw2EwwzZmn4fTFciiLJZiK+9Hvsi8pIFKxnaeC4dUZITJN9QYdJrdHIQ5z0SyfRJQRR1lYijKPGLKeGCaPmeE5NcFYJOWD9RE9jvFzb+XdKC7GQIf5dCqsQqPAw1+9GUrxjBHZbCb8Bvy46xcInHJ5pSzjP13xcfq7bTxgwBHbcfhi1BgGYLOsDt3OBI5a534/XF3ShG83XgMNf2GHTb5whHy4eM8v5tz39MVfwirp3HbkcxEiRgiLEg5F8PYLJ/DsQ/sxdsraOhMKWTcyjUIugEkcROzUtxKHycSfPv7hlAWnVC3Fve/sx8NHUvfyL8XG1SU4bJtbsJkNXBYLTQkN+gbSK4ykThnrS3VwuPyYOGX+JuJxIdTwYExzqFgm1BXLsPvymYFmmUK9DdEj1+DkHhao7lqH3Qc+n4NwOArO5SoMRfJ/zNTrERUn4A0vPxwtVy71azDx/BDdcaK/ohwtWj9kXB5C8Ris/uRJtyYkwZQ5/89zunAyMZl9+oVCKRNCX66Amx1Fl8uK6GKF5okELmNoEZzwYmLAsqzPj1QhRDQchd8XBovFANsbRnTe1GJqkq3o9moc5+UmSDaENRgwzBW3jWVF+L8vfozuSJoNldaitFenuwu/6v09XZj61dovYItyZpDdIdtR/GHgPvr3jTIh/DEP9hqqYA3NjbSJ2Tx8pf4K3Fy5lS50LQRXv3kvjIGZ1+fQNT+EiF04Q7r3C6RmhLAAo8eNtw524uUfvwmXPfvw7nDLOFSXl8BWoJNEiU4KhpaDmHVG8ETicXzxiechF/LpL1nqi4iqD4meumWb1gjNK9TMlnAshnamBevqtOjpm0JdjQb9gwsjJZQTZIVChimbF+2Dc/PZvlAYiqAACoEANXIFAt4wXUcTEyQw7MjtS37KlXkHyGwYvbvxxt/mbiN4qopVN8JArFKCibAHsTxGdVaXqXFkqrBRkWneEVqw+6trEPdEcchrRiQcXyCCJGUiaEukcFr9GJ/Ib2SQEtu5/jfZXX7Y25PCScPnoLJSjaiQQXcQeaMzJ9+LOFr07Ul/oq/bMdOWqlSKYXcsFNyUoPGxsuuyErLYWC8ogscSxMDkwihb5/gUbv/9E9DKxHD6gnD5A3B6g/AEQ7hsbQ1+dft1uKPyFsg4MlqIhKNR2gtJKuRjh3IrDsiP4ISzjY4a+WNuXFcexsN0IGzmw+qNhnBPx8vYqCxHvSzptppvmuT602JEyhGcF0IkE0gB63kAFbL8e2cb7j6wF2u5KnhyECIU0WgMjXEB9uX89TmDUMiFqk5KC4shuwMx60JxQQkSizd/w8Qo+iasEGo48M/6ss6WSDyGNkxh9WY12pxmVGllmDR7IOFxUV+kgdXpw5jFCbt18defipJQV3s99ggEah4sQR+Qm444bXediAnAYGUR0QqJcfgflFNk6td+pN8C9AMlTAbKLyvDgWjuRZ5CHgedKU56hULIZqNlcvK01XwqTpqTNQdqkZAu9M1nNm3+TKFcoVq2u051wZXJxOBMRBAORhAORTEUTl+IzCfgD6NpezV6T4zRtWVUNILBZIDLY6OdlXnUSMHmQ2Xlod2x9LDFPqOVvs3n7fZB/PCx13HPp64G61RH3L0vvIeNVSW4amPSu+jOylvBGvHAHk6aHVrC3bhavwOvGRam3AY85jlihPruzJf/UZNCjz2m5DGUEOfVBRAH1nMcs8+Hz7z8LH747pu0e6WPlZ9IgPHYBLh5CGdS3x+Uo2dMz0KPxYoBm/10aqaQ6FVSrG8ohqyUnxchMlswdTjM2KYopYVInVYFITho6TfQQiQdqKdPFZ0G83hc9HZD+pT7Yhob4X71BnT8+gZ499ywYBn3m1fCblteBFJXx3xvft67+jLtiqRnplmj0i4pRGZDpW30uvzaeHOY+Z+yW6dWYEOxBroYB3aLB15PkE6r5YLXF0JrtxGrN5ZDo5Oh9gPVGLlLjcAtOsQzPGfzmSyUecWYdOSW+nrtRC9+/MQb9Odvb8cg/v7eSZwYnilCl3EksIc7EEnMpMGE3HYUp5i+O+gx4/H9J+EJJJe955l30DWRnw6qJtnM/1+JMHvLgnMVEhk5h3ltsB/f37sHjuDMpbUzFsbi9czpQxWvNY2KMFUngiGYXf2IRMxDRY0ahy0rE4qfRibkwS0MYchSuCLc4w4DLq2twLGu8axSSFQxa51ECWaRIuP5L4sRDWjAFc5yiO3ZjeP/lMNipiI1ybqVsRHgg41NiOs7kIixEHzvWhx4Lf3XaaDZiEt3lcLKDaM9bM+6fqJrBaMiFL5AZsIvqAKqeCoMj9jozzH1FlMn6vdLZGSLToveA8MoFJQgocTIS9VJgd3HzqxonHJ/XR/XotOUn8/280e7EIsnsL87+ZxPnjJQoxgP9COSmCtsg3EfrioN4OF+6oJq5rVvGzfi2GsdeOF4N27ZvQGPH2ilRzw88Y1bIRHkllZpkJeAAQYSSJCZNCkgkZFzEHcohG++9Rq+8NoLc4QIhS0UyNuYCsOgBdVuZsbGZvXlWmyqLQGjhIMj1pUVIhTeYBg1YiUUPH5Btq9hC7HBo8WRzrGshIicxcGWngj8D3ei2JYfsyuKUGDGzInpKMfb/yc8JUTm8tI9GnTeeyO6fnc93nnKm5HJF1XY2Ld3FKEDdvAZ2V3t11do4QmHaHv0RsU8J94CBM10Igl6LZl1Qo25XGiP2VC0TgmzMgxPURxrN+nB42V3fcfKk7+FXibGOo64oEJkdro2KxLALn4pOofz69ny0vFuuqaEQlQx87896O1Iubwl3Ivry+ZGuPy+ZOSoY2wSP/j7a/TvEzYXfvTEnuSQxxygakSqxWpsUJThQ6es6QkzEDFyjnHYMI5rHn8YT/ekHgYXjEWhu7Yqb/uLuJe/GizTyrFplZ5uoY3GEugZM6NlwIhK3pmZWEldQZ3sNiFojGCjSAcpl5c3EXIhtwz8QQb6xrO7suczmKhp98E4aIFQKkBzLD+TT1kMBqIBGRIxHgaPfBxDL+86XYCaitEhJ0aHFvdvWA6fL4RtzKTLZSYIuGx0OyxYJVVio6QI/SMW7FDPhLe3yHRz/s4H5eLsP4eDjmRakWr9PWQxgFPNz1gviTlcFPOEeYmOCDlsDPcWyJhtHrF5HTXpsktSipM96Xv5ZIOHMRMJaZBsAZeZ+sKDxT6JcuHMYxaWCzzOXEHJ57AxYXPThbS58rttt+DhXXehoUBFsmczJE1zDkEJkG+99dqyX4Z96xiQv81CPJj7jJHRTiNWK0XobxItmjOmWvKomon5mI1usPjAyk86SUJ1NHaNmlFSLYU7nFtbJcUqvxxtg7l9yQbjMajWFoG/UYNBfhj2RO4t1OVyGTgxJl4/5IG263qMW13Yxs1cKGTKxH4jtl1UjKOR9IXZmvIiHJ6awBqJBi2Dyc9My6ARO6tKkWAm6N+pguB1uiKEEzH0OLPwdplNAhh3ZC+65jPp9aKxXInRMfuiXTN6kRhKLo+2eLeHg2B0ezHYMYoqvQKjMf+iU5jTIZznuVFLkWzvTfN6NgFsERRD6GUhZiv8f3w0Eac73KiWe72wGreUfwMPj/wcW5WXg8lg4rDtdXq5cDyIS/QuPNrPo783zQwnLl6zGvXiMqxtKEV1kQolCindupwPykW5DZk8lyFi5Byi12ZN66rM4Peg7q4GTP4hdfgyE6iisUgoumTxmj+YuhBx0ubB5ppinAhNIbICRavzoXK366qKcdydn6u0aD4CPQwGzLUCHDMZc0tJUMPQtGoImBz6io5qg6YYP2X4ZJfG6S6IRAFPXqFQFIY3JrD1Sj2OhZcXDQIOG91OC11P4PHOTS82D8+IWU8ojJ4RMzbV5B4haVBp6InL+aSX4cS6zTqMdpgRCsUg4nDQIFWA445hpN8Md8iC6T4O6iQ37fNhMDiwYXM5WiYm6ehdNoSzTZ1kQYQWI5xllyvnSlFk5mGwfSaysKZUDbGUh1Gn+/Q07XxRopfipNMEXyQMLis5xqBeugkf1n8WvqgHlxd9DNWiRjw18SdajFjDg7i1thR9Y+Vwm1iIv2XDy0faML69Gpd+aCPkV62FWDozDoFQGEia5hziE43pj70+wLFCtjqzMe6L4fME0SBM7V64XOi5c3AS69ga8OYNqis0lUUK1NapcNyTv3BxV8AMHjv3roi2PhO2FelRIc9c3VAh5S2lepSLZOgft6Jt1HRaiMyGMlajxMhKIIym95o0VGjhCoWwXaNH/9Tyrq6MOGXHn9y2iM3BDoUe3Aw/RyLW8ifTTKHa01vMJtTXFWE7ZUfeE8DQwXH0dhhpgTab+YZjHc1jUPqYWF+WnTMnFQ1YKSLU9OYlLiLYYOBidilCJ30YHJsr+AYmrDjZZYDD6KFnQuVr+iB1gcGsYJ9Knc29CNqhugrblMlRBsX8CsQSM++FzxKA8wdOeP7LgKHDE3R9SOvhQfz2B0/hlp0/xd1ffhRH3+nOyzESUkMiI+cQL/WnN3tk+kuLcUMJ8IvsOh7mozCGgBTDLtdVl+DEwNJFqvRVbl0JDvkKk0embAKqdUpIRTyAzYAnFkInZf2e41MXJdhYE5VB7eQgZgzBNGhD8Y4SHHXl1glCFb2e6DegqigzsciinqdEsezrTbFKqYQxmt8r0sWwnrBCtpEDV3xhjYqMz0eNimpzZCAeiKOeq0LbcOpx8/MZnrJDmuBinVYBo92NlhEjNlTocNRhTMsEhBIy3VOF69rhOeLo717aPyMVXm8QEz1myDU8OP2ZpQ8pw6+VhA0moilCePU8JbhjcbSnYVrHCwHbSvW0uJkIeJcdbrkU1MVPpyvpKj1fjFBIOMkvKUNgcI4YYXtk8LlTG/pQfioHXm+H1+XHtksbsj42wtIQMXIOMeTMrFU1xMxfpwZ1kqeMqlaXaegTSzQeQyyWSOvESNHWZ0RTowYdzvydHPRqKbQaEfo9dnQFLVjSoy2RwNaoBrIgG/vEZoSpy+5FltscU0M7yMDQCSOcMR9ml5gyKUvvPER0qTZCuUwATohJe5ekw6YS/ek6i+WIF6ItZRGcDj+2RitxVGhHrUpFnzCOjxmQYFBmbEF6fHs2dRt2f7Ke5uTozAmf8oTYWFQEDyuCAfdctVkqkmDC6zktVJrURWgZy1wspAvLlX2Uwu8Po0GiQUfYinA0/f/TYCSGwvSIpYaa+BudNeFZyGRjW7wY7ccNaQc7qHQtdaO3R0X2qpLFnVMBH8ad7rQjImvWFsMg8MLhS36WfnL4bXxu7VZcXFpFz7eazUbFRRjx9eCIfQ/9NyNGRdiWfr9Wry9P7wkRsoKIkXOoXqTTktmcmRgjkZOTZOkFFWBXSGFPRNHicCMYiuLEQPbRDb8pCJ6IiVCaJ9/lYMoYOGxZfvT8uqgS2rYYRrsNtLDYUaGEbzsfGi8HLFccByucCCGGC7wahE64MTluPJ3zn89wzyTKd2kx5s8t6kCbLjGSJmrpsElfkrYQoei2WKHhsRGdlzYoFCEZAwFPBCfGk5+PVVoVfOEwDG4PiqTivBWRlivk6DQk/w82lxUjzqFOmGzEEEf70CRWq5QQSrk4YZtEIE+jABbDM5Wb03F3hwFiPgdVdUXwIYaeebUtbKpDat4ZPxKLQTirDqXQcMHE9LPcxC+Ct8+HNmf27fqhSJS+MKFQ6pcfXEd9g61arYFLEcZhjwGnD4ZKRRvH6FuFVI7bGjbipromyGa1839I/xlYQgYM+ToRKDKgorEJo52L1w+tXl+W9fMiLA8RI2cxgUgELw/24e+drWiZzPwKr9VrRfUPalE1xYHtuWGEbOn7jldeXYejYRcSk3nwKj/FlN2DLTo9DuTwZUZRyhNjKuQDx8+kr4gW8/qQJbjY2S3B4AkjRmfdbxq1g7pjWnDUdotoG+1R3+ylUkPtSjoYgrycC2eKMHEmhE+dLKm23GlX2vUlxfRcHqq2QicS00WEJocH7UOZvf9rtVpMhJZ/PvnCy43RtRTT9JttdH3N1rL8tulKBTMnm/YUrZjDVgdgBWqVCkiYHHBZTIQX6V6RcLjwZPke8hhMTBpyb8sOULbubUlBvX5TKabcPihEAojZbIT7rGjjh5GYfTnBoKzZOQgGwismRpRsPhr9SnS25S/KRP3fWpYpbK2oUiCqA5pdk8ASJq6jbid+euQd2IJ+fHfrRafvZzHYuLXim/jjwPdghxmynxxF9X/uwFDb3Is6JouJnVc0Yu3W6tyfGGFRGIlcnVzeR1P/zhco2+rfHjuIxzraaHOofMBnsbHLLYfh/u6UkRI2n43S3VXwjDogqVDgWNyT9XC6paBC+PxqAcyBzGbQVPAkqEqI4R73YmLCAdZOKVbHZUiwEtgjWShu5AkuNhziwjC8fKFkNpTXaNCuCOQU5dHIRDDGfdhQXIx28yQ26qn6G+Pp1ynbjguKTTE5xttWxo+CInatElM51AKky5YyPZ0CShepUgB7IHX79BaNDsct2Z1gG9kKeF5Lr/YlW8QWP9S7K9Btnyt6Su0JuJz5neGUCurTV3V7A/q7zfBkWNuyHBIhDzZWakGl00kgqObjhDP99+Zjqxpxc91aHJ2cwGqlGldWrDr92GRwDH8a+AHdWSMeqoPpb0oMtZqhKpLhmo9vw9U3b6N/JxT2/E3EyFmYjvnqnpfRa89vO+I068VqcP42Ad/YzKVG8YYSWGtEMNjTy9/myobG9KMjeq4I5RYeBgfmXs0UFUkxNZU83sorSvAea+aLS0EVPR7kwDiSn+LdxVi1rgQH2Y65V64ZsmVNGV0HUatX00Zq/nB+5tVsF2oxdGAcK4FQzsPAuhXZFVZpVHTUJR2oyEyxRgoBmw0uiw02gwl7KIABhx0btMVwuQNwIATnPBfjdLgkUYSht8ZQKKjZRcwxJ9hsFirXloAj5SHCYdKhOb43Rtfj+J0BxGNxCCkfoCGqzTh/aSlpkRjCDRp0GQpXACwuEsDun3ntxdTAyWINRhQeDEYy+9+l/F1mpzy/t/UifGHdttND8DpdR/Ho6C/p36VMNS6zfRFbdzWClYfuuPMdNxEj5x7NJgM++fyTBW/foxxJNx4DLPsNKPqXNXDaYhidLNwcl/koJUIYpX46NVEjkKMEQhymvUhmvkwYiQR280swctyE0DLDvzgcFniXy9GdsK+YEJmmfnsF9oXNyZaeDKGKgS1+H6ye/F7laiQiMPY7CuoxMpuyrcU4IliBz08i6VUSiGR/0pXweRBIOCgTy2hvE8qErc2SeQTpSrcWPUcLJ/bkYh4CvekLAb6AA41ODraUj4Gh7AUE9YmpvagKXX4XfIv4B+WL+tXFaDNO0TvdWFmCUZOdtnuPbmTAk8hdlFM1JD/bdSVtjEbx9tTTGPZ14ePlX4WYTSIhKy1GSM3IWZaeyVSIUL3+G6GBjRnEUDy9yAblRtq7QwT5rjq84zXjEnUpsEJihHKJKBOJUR0UYXzEDo/Phl7YsGW3HocCyZNCOU+MYhMbvcPpfdlTdRWSI0FcwZJhot8KYw4Ol5nSc2QUF15Uife86RcX87ls1Fdq6VbVQqAQ8OFYQadOjoYPrEAXcYlcAqMztwmwnmCIFjS97uQJW8jK7ivSM1nYlBSfy0Em3rzBQATjQxZIFUKsXlWM3v7MU0hSjRiizVocm8isUD5b+Ew2KtRycMFC66n0JKXpQ7MuSnLhyb4O1MqU+ML67fTfl2o/gktwI+3QOh+qmuHBxw6gtESBSy5cDe48y3hC7uTkNHXPPffQYa6vf/3raS1/4MABsNlsbNiwIZfdnrfoJMtXl8+GlQAuMWox9fokoq86IcpAe04GfOjxJqMHQcHKGCnVqZUoDfEwcNKI7k7TnCmowSEfavhSXMTTIX7Mg5HhzNJUdocPHIUAsRUUItP07hvBNinV8rw8q/RqSGT8ggiRUrkUO+XFSLSuTLptmgB/ZYSPRizKy3bMHh+8oeRVfyCU+RU4B/kpXl0KfpYD+dwOPwaaR6DVSDOLhlxYCWslF50rJEQEPDYYLAYMky4MmmbSblSZWg2H8qXJHaow/PqaGd8Q6lyWSohQPPHMMTz894P4r1+/jJtu+zP+7+H3YLas7P/RuU7W8u7YsWP461//inXr0ksGUyGa2267DZdffjmm8jQSnbA05SwpXGYfqi8vxUH2JMKz/AAyYTRW+H86hZCPhDUMmyP1FaXB6ASMQE8OTmUd/Sas21iGvhMrUysxm4n942jaXYKOed4X01AOolt0xXhnciyrlM5ysJlMKCbiGOhfuQ6aaSbDhS+mpJgOt+cLPpsNdzzzVEQtWwJfLPeZQoV8rjqNJK2TqVglgnRrEY6ukAihhE9jrQ4TLjeODaRuy2ePJlBaLsFENLco2HVVq6EXpyfKLNaZfTldfjz6xCH8/cnDePKRf4FKKabvNwW60eF8DWwGFwKWDEK2HEKWHAK2gv5dztGBsYjYIWQpRrxeL2699Vbcd999uPvuu9Na5/Of/zxuueUWsFgsPPfcc0suGwqF6NvsnBMBeDEDh1WK4bgbw3QQKrcYuSnswyqZGDZXYU4qdRoVPAYPZFohDJPOHMo9l2fY7oRMJYTLtjInyGmi0Ti8R82o3KzAiM8z10StSAfzgB0tIyPYuEWHE5Q7bJ7ZoinCYPMIVhqeiIvhFfr/zaVWZLG0qBBsSLlcuMPpi5KiqABDKCxUAWsujPaYsKpUiUAigQmDI3U0ZHclesIejK2QENEqxZCrRGgbXzqFNGF2oYqtxIQ2OzHSINPQBogatghffuVF/P6aD54uZJ3GEwnipH2cnq6r5ouhViUFx2yobrajLcNYvd2P4/Z/wuBvX3K/n6z8A4oFdVkd8/lAVp/oL33pS7juuutwxRVJn//lePDBBzE4OIgf/ehHaad/qIKX6VtZGTGboTwanu9bodkICaCBp8Iunh4XcUqx0aaC0xMswH4S2KrXwdhnhdMdQOeACeubSlFIPL4QFDWqFfQfneuqye/2QTPLeGmdVou+FgP9/Cm8I96M56ukU5QZNhb2Sn0x1HUpZgQUiElXblfKqeidtKJKJM9oaCHXW/hUIDvHuUIepx9DXUZM9U1h/ZoSqNfMnGzFKiFKr67BMac17y27qWCyGNiwphS2cBBd4+kJH8prJxvWKoowanaiz2bDQydPwOBxnxYiRo8b/9tyGB/d+2fsfOXn+MLhx9DrTgojtSp1inww8iqen/j3ZYUIxYT/ZFbHfL6QcWTk8ccfR0tLC52mSYf+/n5873vfw3vvvUfXi6TD97//fXzjG9+YExk5XwUJNeTs+eEu/E/bQchkfHA9rIyKWNdDiWIPH4xYAqDS39E4EpEE4pE4YpE4ouEYPXWXmgtBtf6VX1wCo8OHUZMD+UymzTeXoqIhbF8MHa1zQ7HtfUZUV6oxNFKY1mWKnqEprGnSYaijcFbgi+Gw+7CeVwz/qeiwxz43QmO2erC1sgwH7PmpGdnO12D4iAHjaRYv5xtesRA4Zc9dSKR8Hqy+wkS7Oo1m7KjS4/Dk8u3mxQIxxqNhiJUCeO2FE4D5kqtU62/H4SHI/sJH42gRYOWhdciPsYmVSaVXl6nhT0RxfCgzo0NlkTDjfW1Q6NBjspxu8V2lVOEP116PfaMjeKz9JN4aHkKRTACnbOa5W4PJqLJGvTAyUlnPQrzqnbSF6rjvJLaobs74uM8XMhIj4+Pj+NrXvoY9e/aAz19+AkIsFqNTMz/5yU9QV5d+eIrH49G38xGqatsfjcAZCuK4eQK/azuAoVl1BvUlGvSMp9fZ0gA5Qq/Z0ZeBv0C4z4fRaH46ZxjUvIhiLfhRBvr6p+iwsEguQNgXRm936i87KvRpcwcglwpORwsKQVy4stXwbC4LtRvLMOHy4EjX0jUrfa1GaOtEMAey78hQCQWoYEoQCMWwels5jL0WunhxpQkJEnMsuguFXiaFO1A4z4shs532IwksNYguAehjQnRbzWCXMSGqldFRKV6PH1KtCHwlH26DB1ODdnpici6t1Yw8h/YcMQ8cpR7E9XE01jbg0HPU/17hEqaUqVlFhQonh7O7ILDzg0vPmprHFqUerYbJ00aNm3UluH39RnzqmScx6jpVbJwAVpdIcMQ3S4yEvItGRkZ6org4Xg4XYyCtYzD4OxBLRMBi5H9S9LlARqZnVK3HjTfeSNd9zBYcdBUyk0nXecx+zOl0QqFQzLkvHo/TJ1zqPkrUXHbZZee1A6sjGMC9re/h4OQoXKEgLUKiS7SuUV8PopAQ3mVy2DoIUbwvSg8pywQm5exZJ8ooRz4fHpuJDUXFMIzZFy1IXY6acjVGR6wFm7FBRWb1bD6spsJEDEQSHjRlCvAlPCTYTIxMOTISV/UNOhwJZZGrp2pQdCUYH7DBOyvETj1fnUoKuZAPAYsNRjSBoCcEt80H25QnozREJrA/qMHYCtSMbCnX4/hobmME0ulGMkS8i84L2qrUobMr9cmVzWKeTi3sUOtgjPvB7Q3ASb32WbCxTI2uw3msTPlTFOFZU2zr2FUw7mOjuJoLjy0OdX0Cg5whVPtqceiZ7N9P6mO2bnUJBi0OuGcZmmVC7VYtmiOmtIc9bleV4vipmUgUl1dV4+eXX4UPPf4oTN6ZerpdfD2Gu8xQXcvGQMCMy4vr8Z2mq1AqUiAUiuDKG/97wbZLKlm44KvvIppI77ncXPHf0AsbcT7hLoTPCNUJ094+Nzd25513or6+Ht/97nfniA4Kasfzl//Tn/6Et99+G0899RSqqqpwPkOJsu8ffg2vjfWlvw6V01WwUBxTYICas3EKLQT0BM3xhBdisFHdwoLRkfmXBnXyXy1X4Jg5uzCtViKEPMxGW2tuHSuDY1ZsWKNHW8fyg+6ygZLgmmpV3sQI9b6UVKkg10nhDIUwPGGD9dQclGzo6TahaXMROhzpb0DB56OaK0N3mzHl8zVa3Vgw4o8FrFtbgsEU6+RauKq/pBQH3YUVCLPTmSvBYtduUg4XhlFHWjUOh61JwVKySgJJJApPFukcKs2aT+i6iVlPrS86DFwA0Nf8xUimbONAwJp9tKREIwNfwsWJWVOWM6VUK8OxSPqf1R2qMhwbn/kMlktl+N/rPox7Dx2YI0T0XAmG2ywIhGMomSrCNz9wBVhMJh4dOoyD5kF8ru5CSMR8eLxBOqpVWa/GeJ8ZV/7LOJxpCpHpupHzTYykS0ZiRCKRoKmpac59IpEIKpXq9P1UvYfBYMAjjzxCR0vmL6/VaukUz/z7z0deGOnOSIhMM+n3gM3wYVtFKY6OGqAAHzXHmJg0OrGzRAY2h4WJ8RwcRt3ZdyXomEL0GfKTbz7ZY0Djah26ewtT20HZq3N5bHoIXjbwBByUrS4CU8TBmNmJIZcXGMifu1fMEARLBFDlPsvRqNHANupGtzdzMyuueCZszBdzId2tpUfBs9wxWPrscJszi26VrS/ChCwCWyJInb9WBLuv8AW6RQoJRiZTi9dGvhqtvswEHWXQVtYkwypWEYLWAMbb0/+/iUXz6/3DTDMlYzNk7rvC5TCxZlUJTo6aEPXk9olQlVC1G2nY/SeAneoyHJ0lRCikPB7GXE7cf+L4nPsr3GJ0h330FGCUxvCN408iEJt5rt9veRa7dzQgZokgIWYD/AA+9Nl34czQLoGqG9muvjWjdc4X8p44N5lMGBsr3EyGcwWz34v/OPJG1utTqZyj9jFsLC2B5NUQxo3Jf9BJY+7FgiMDZvAruQjm+QsvG4YMNhQXyTA5lf8iSJ8/jA3r9eg5mr73BlfEQfXOMvjcYQyN29BuLFydgnHShe1by3DQtvRJjqpl8Jn8cHuzC3t3mCwoq1bBOGyD7MIidEzOSg/pAd0aNfRCMdieGGwDTjhNqVMLbB4b5ZeV4gg1QdoDlBbJV8R5lfJQmXAUvkjWRQkeShjOO283ytVo7ckusjRud2EcyWNf94FycJgMMBIMsOMM+Mc8MPRZoSqRIB7DnJROJAsztqVgpCFGmGDCOJaZ6FtdpYU1EMi4QHUxoqw4sNzXUiIZEZkvRCjYTBb+8913FqTa7KcKydlsJobD1jlChELI4uJYjyH5OtkAsYCLxngCmdqGGANdiMZDYDPPz5rIgoqRvXv3zvn7oYceWnL5H//4x/TtfGY6PeMK594uqxlion8ov5Nnw+EYGhQqnLBkULOQSKBOq8LoYH6PhRqhrpAJweOyl51Bkw1WfyDV+SUl5TdU4qTABSfbA26fL+v2wkwYap+EspoP+yLD2sqkUrDsMZjt2Z/1Y4k4EiV8VNdX4Yhp4UnV5PLQN5piQLtKiTKxBBxfAo5BJ2wTbugbNLAWIylEThFlrExcpEwhw/CslGWhoML28z8o1AC2kDk/M1raTPMiI1yg7CItoiwmgpEoqsqlGDpmgFjGQ8iXXzGymPPobLRcBRyR9Oo0qAL0Ep0cbaP5m1zMZbPgYoWWFCNUYe9WZSmOTaQWP702y8Ii5ARgcyWjf7FoAozDPEi38OGOJv/nyvlKFAflaJsVkfEGwojb1oOlacnoOVAFrJQgKRdtzGi98wFiB3cG2G8awVsTgzlv50JPCUbeLEwKgxdI40snkUCVWoHtJSWoZIgw3m0piGAwTrmwerUOhWBi0onKhuJllxNpBNjHMtMFxpM+L8quKMFKQImxeubiXh3FTGFOQqSiQolIERttfmtKIbKYXXqzaRKH3VPo1YSQuFCBdoEHBufcFMaUbwXaaGj3XsGK7Kdv0goFf+6+tkl1MBZwmjUVORmyOOiUzrGAFaKLtZioYMA378p9JSIj0ngazQMMYH29Hn5GLK9ChKJ8owrt1NDJRWCBgc1yPZoNi3+OU3VDqTiCORcWZoMful4N1puroHpPDfPTMbS9vPAiyz6eXc3jhK81q/XOdci0nzMAfYWVIx+wlmLgtcIUd1KMDljA1jEQTVGwV6VSQMvjY9LgwmSPFfn9yknNmDH3dsj5UFtS6SXgN1LGelxEHCEEzAG680S6QQmPAggx4vS0YFs0jPgs59SDTgM2rVHB2JXfSFAqOjsMqNukQZ9zbh2QUsBHz2Bu9TlTzCD8gdxObDbvwo4tIY+DCaqLppB2uqdgFsA+f7H/WxmPR3fAUVSIpGjrW1mvmjFbMqUTdARXXIyw/ZSdw+KflXKdAgkuE80FmKtURhWuho2Lfp44DCaaJEU4Ycr8/VCzBTBjrrnbaM/yAvP4yQQ2JW6CVOECXzUMhqw/rf2N+U9StcGEeRAxcgaY8OSe346NhAruFlqvKkGHdaabo0gigp4rogtKV0KAzMbu8qOhpiiraaOzxUdRjQLSSjH84gRGgi50BPzoCI4BVF0cdTvtrTeFU6n8RbdlrYiD1c+kzeMKDdccA4OboLtiFAIBHMEg6qRKtMVyy8Vz2Pmd5zJNmVoO16nJt4WGmrS7EjSVF+H41KmTXQKQ+jmwrFAXz3xRFPKF86rz0hF0YQdz0aF2dTXFODFsPO3jkW9EYt6iQoTPYmMVX4W2yeyEuZTBQzaG9zZXAG/so35jgcVchQ9/sBrCmteXXW8q0ItwzA8uK3PjtnMZIkYKCOWUesJqxOHJMYx6nHQXDHUb8eSW39bHxHBbC989IIkkT1TUSHXKtry704ju6BmcE5SlBbZAwkXJ7mJ0xGw4GXQDETeQhxKDUY8Lu6/QY/DVwg/eG5+wY9vWUsTYQFe7ETUaKdracy8KlPB4mCpAlSlV4De/i7ggJLAixav0rqhahVMFRjtVerR2rUzb8nykAm7eA07pREYcxmjKoXYGlxvNeSpQTUVNqQpHpKkjHmI2B2UcObos2Qtffjx3QU6ZNT7zAhOfvHULWNq5nTrziSMGQ6ADVeJtOe/3XIKIkTx7HXQ5zDhgGqVNzI6ZJxCI5i+3S1XYX2YrxdheE2xZtqNmwsSgFZvWF2FyxJmzb0g+6B2agpyya3YtL8R4QjakRWKIG6U4GTBj0FeYL8vDPhOaauSYGizsyHgKQ7cFleuT9S2mPI0vF3EL4wYZWrblIT8UScWYcq9Ayw6A1nETtlXpMeiwYWBwZaI+qRBxuHn3qEtHjGi2RCCSSdF13AOlWASFevmhdvmAV8xBPLrwGcs4fGiZInrOTC4w81N/TPPeG1XYeaEE3NJ9YDBT/w/IOSUY97USMTIPIkbyAGXX/ljvCTwz1AlHqDARiw0hDYQHI+g3rJwocLsDEE0G4CjQtN5MoULA5eVqONsXvgbaWjmijXy4oiHYggH4I5QI9ADu/A9Pmz/A0FvPBmM4v/UsqfB4Q2CmU1icAbz/3969B0dZ3nsA/+59N3dyv0ECCQFEbnI8YEHRVqxWq516qY6KdkrtnFZOT3vstH/YoXU62jqFqnWsdmpRRo+eY4+ltnU8lQJesAoGRKAYIAm5kwsJuWw2e33P/J7s5robssleSPb7mXln33333Uued/Pu732e3/M8vsnlLxk1Hdad0WBINuF8vhWHfBOXa4s9NgGCNB1OJRiZZ07B/HYz2nM1/NM5+WqyT+tasCavCAed8QvOpaYykv+R5jQjBrTxv8j5HRnI+h8zGu7rRU+yA595a6BfoMfa4kvw4Vt2tDTEJkFZr40PlLIsSUjzWVDTNf0qTo8zck1tjW19eO1/rbhi5R0ou+aVoPtck/8gPmifuNdpImIwMg1VXe145ODfsf/s5MepCFemz4p/rclC1YdNE6UwRE12ShLqWqPfbXKymtrOB+2K293ch9rC6AYeoZzu7sSVXyhC4/5WFK/Jh6fdhTPHWmfESKOtTZNLMr2q14qTH/1TrVd8YRGQE3rfVJsFZ3v7YpK8apnk5JtjlTuToUvSYNFNvgZnVW4+9O7BMX4sJiOc7ujXTgZj1RsiGoyU/0c+PvGOn1+l4B+pOL6vCmWfL0fPYgeKzXnoq5yDd07G7kx0qTUVOdUeoHR4W54tBSanAfV9kfkcDnsEq0b8qutcKAuy3WZIR0nyalR2/gED3l5YDcFnA05EDEamOGCZNMFsPbAbHQPRuzpY48hD//+dR1VffNqmhSTKXUzaz/VhUVkuTlWPTjnLX5qNWsSv6vw0eqBbYsWBlmasTY9ON+TCwgzUtExjZN0g2tt7sWp1IQ43TNwLQTPpYTIb4XZ54M0wS0ZUyH2LstLR2T2VlMDwTXVgvj26VkBaqCbZKWVpdg6O+5OnpadQxfwcdHc5UN8e/ea5sSKZMZI2PwknCurUUO9jnbq2DRXzFuLYokaUmUtwdJcejmlM3hgui04H7cMWdFlNQOlgXkdxUho8/Rpa+iN34RHJCTlXLs5AaVk3kgsqgz5eaFuqht6/JH0jGvs/RXnquoi990zHYCSEAa8Hfzh9FHubqlXzgCxyRX6mpwv1fdE/AanxovY70NcXm54CoTTUn4PBMrkhyWPFaB79tS1enoOWPHdsEiZDKLVm4JC9CQuzM9F4eHo/xPPmZULmSmxqOa+meJeiX1CajbOOfvTYI9ulUzSc6IAxfXgit2D22uxIv3U+VrqsaLFOPApmss00YU+kSGqNcjNcQIpeArBB/U43fE4f6j09uGRhPnq7HGjoiF1tgckXuWCkYEsGOnzBA9w+mxPHVsiFkA7Vrnpk3GTECmMRdOdSUHvUibMt0T03OTUN9jW5KNNZYdQ6MDc1Db097qGu1ZFggh5dvZF7vaVrj0A3Z7AGMZiipMFpUBamrseBc//NYGQEBiNj9LmdeLnqE/zuxEG0x/AqYKw1zny0no11B9rgg26VlORE/Ip8uomsqalWpM9PhX2+AQe62uMaiARGGzXodcg3JuG4feo1NBUVeTjuH2J+1bJCdRXVdK4HJzs6o9qNu2RBFqrbJn6Pbs2Dd0x9FxyOe2DE7K9TYTUZMOC+cI1HitmsBmCLhX7H6Jqg43WtKJiTqkavrXF1Y0lBFk63RH/MGaEPksw5FQXr5uCYpXbS+7t8Hpxy1QHSsvA54FJzNtr2ZKCtNXpByRlnP86gH+s8xThyvh29rsi+V645Gf2I4HfIMHFNcqF/kjwZDj7JEHoww0TEYMRPou0dn32MFz87FJFh2qcr+bOLpypiwhEuZVyBGA06FSBX8HaXGy15dvR0xbfmKOBgZzPWlhehwduPvPI5aD0dfp7NspVzcaRmeMCow6cjP3hUKHMskRvFtLF36rUVS4pz0Kdzo6HhwrWPRRlpqGqd4rTI4dCAlnPjo92Wrl61pFtMaOiPXXONzjX9vCGp5zXdrQ85C/FktLg6MO/zRvj+noyOCA2JH0q/24XeMQOTRUKmwRqzYMSgMyPXWj50P9+2CHZPF5KNcyL3/jNYwgcj8s/4UtVhPHZoH/oj2A13Oso86ag5Hp0EyKkYCNJUlJeVisKsNNQ3nMO8eVk4XBVeXsstG1eo+Stcbg/cbi9cahlcd3sG7w+v+/fxeOExakhZmIKzlgE0jhmRNN6O9rTB7nZjfkUGDHXhD4Ymg3fJeAVxEYEfODEn2YY2e/+UkldlGJm6gR44gwzZHUyqZbjpJJpykpPQ3RI6ZVSabWJJG5h+t+mFdxbin9rka0VCqXedxZK1l+D9N6IXjEjgVG3pkf7iEZciEwBFkE7mzgmhwLYYBt1wV/o8awXOueoYjPglfDBS29uFPo8LW5Z/blJ97+WEKZNKGXQ6NWrh6HUdDDq9+ud580wV9jSFP/+MTLy15Gw6Tpnto65aAuuBigipvh/6nP51tT3wmf37BHYb95eMqc0YW7kx8vU7O+3IzEhSo3VazCY1ad283Ax0ddlRXpqLnOxU2JItg68h7+l//uBLDN5K2QQeT0ux4j83Xwt9mIOYnXc4cMvLL+NwTzMQ/THfwmaXYFYH1Pacx7qNRah5M7zun2ZTdEZDnYxwj0UoEqC2dYV/cKTJIyc9GZUdg4m0yUYDXJ6JA6RYxW0FKanojmj/lenxTXP4fp1Jh85ruoEIdQZyJEutUPS+u0k2M1qd0amtNnkiPD2bbjgoSzXmoNfTPip5ddSuOh1MOs7eG5DwwciCtEz826VrEWm3lS1TzT09zgE1HbUEKSa9wX+rV0M6y9TnRt3wbSTmrJnNbCYT/uuOO9A9IOXqHFz866O2+RfZ1uu/DTZBVjT9o7dZzV3TFMbcNfWn2mGy6uG+wI9wVBgiE4xYLOGfUiR4t6Sa8Mm5wRwpGe6+r08Cmok/U1d/bCJS20V2mvROs4fb4i1FOOIZ35V3qgZUlUX0hjafWzoHrd7o5M/pXBGOaA3DQZNOZ8D8lDWo7ftoVPLqSMe738bncjZF9jPMUBfXf9ksk262qoUiN6ZEUVqaWqYyNH+vP0iRAdE8Xi/cPh/c/lvPiHW5Deu+PN+/Lu8jizQ1pM0zw9qvg9M52NTkcnnUrMay+IJc1g8MeJCdlxE0PyHagowrNSX9vvCDvssWFOFA23AzX5fDgTVlRThUHTpnRmojG2IwDPySrGwciWHuzmQ4e6YejFizzaipaL5gEnI4ujw9yM7NQEebBCWRzR9LsplQZeiK6OcdyemI7EWKTz+AwCVlj/ssvpD/76i3H4JX86DAdsm4/U/3vo9lGTcg1TTBwD0JgsEIJQSzwYCspCS1xNStwTd7/HkxTqcbTsmHCQQqXg/6B9xwOIeXgcD6iO2SxOvzyaLBK13PfT54vZoaFE22DW4f3Da0n9ruU93UB5/vf55PUzUa0owWaBlUzY56aXaUW6m18zdD6vVD23Vj7st+RpMe5TmZQ68jRoZdYxMm5XVzU5NxY1oFDNCr3CC7wwW7w4lVcwv8zXuDzZ/SkiTrsi3dZkFrj13l2fQ4pIbMCY/Pq5pu5D0C3fGnSyZRk7/R5438r6HVZFRNcxJkm40G/30jLEaD/3b4cYvcyuNGI3KaXfCt9w43iwaabf3NtGpVrxvVVKr337dUmOAoGXn1HqpZekQz8MituuDbTXMHL7r66k0wGQwwqkXvX9cPLUIdG/nuacPf05H3h7b7fOpY6tIMcOg8w82/I29H/BHBHx/dXCyrQ83reh1sDgM0f++koT9txOsFyHcgUJ6B72Sg6VmtS/lKflHh9f7v+OBQEJnmubir9Cm4fAOwGJLHfQc25D4Ag44/w4KlQBQHRqNBLdIefrEIjO4aONnOdPKjIL8LgcBk5CKPSRA2MnAJLPL3y5w9SWbzUC5NYH8J4iTokaY0j7+GTLap2jJvYH3wvjxHAgiryaQCDVm3mQdvJfiYDWU8zgIkuMJxW2zG0DW5JSn/EuXPM3MwGCEiZbblLA1dyUag6UBey2iQRcqIp02iSJtdZx8iIiKacRiMEBERUVwxGCEiIqK4YjBCREREccVghIiIiOKKwQgRERHFFYMRIiIiiqsZ0WE+MGpjT0/sh8kmIiKiqQn8bo8dfXlGBiO9vb3qdu7cufH+KERERDSF3/H09PSQj+u0C4UrFwGZP6O5uRmpqamzcwjlKEWjErw1NDQgbQoTyxGPwUzH/wGWfyLruUh+AyTEkECksLBQzV81o2tG5A8oLi6O98eYkeRLyGCExyCR8X+A5Z/I0i6C34CJakQCmMBKREREccVghIiIiOKKwcgsZbFYsHXrVnVLPAaJiP8DLP9EZplhvwEzIoGViIiIZi/WjBAREVFcMRghIiKiuGIwQkRERHHFYISIiIjiisEIERERxRWDkVnk0KFD2LhxIzIyMpCVlYUHHngAfX19Ifd3u9344Q9/iGXLliE5OVkN17tp0yY19D5Fv/yFdGb7yU9+osreZrPh6quvxvHjx1n8U3Dy5EnccsstyM7OViNOrlu3Dnv37p3wOXJ8HnzwQTXCs5T/kiVL8Jvf/IblH6PyFydOnMDNN9+sRumUKT/Wrl2L+vp6HoMYlX/At771LTXdyhNPPIF4YDAyS0gAce2116K8vBwfffQR3nrrLfWjdv/994d8Tn9/v/oB/fGPf6xuX3/9dfWFlhMDRb/8xeOPP47t27fj6aefxsGDB5Gfn68CmsDkkDR5N954IzweD/bs2YPKykqsXLkSN910E86ePRvyOd/73vfUsXrppZfUj6Lc37JlC/70pz+x6GNQ/tXV1Vi/fj0WL16Mffv24ciRI+p8ZLVaWf4xKP+AXbt2qfOWXBTFjYwzQjPfc889p+Xm5mper3do2+HDh2UMGe3UqVOTfp0DBw6o59TV1UXpk85OUyl/n8+n5efnaz//+c+Htg0MDGjp6enas88+G5PPPVu0t7ersn733XeHtvX09Khtu3fvDvm8pUuXao888siobZdddpn28MMPR/XzzjZTLf+vfe1r2j333BOjTzl7tU+x/EVjY6NWVFSkHTt2TCspKdF+9atfafHAmpFZwul0wmw2j5oVUaqdxfvvvz/p1+nu7lZVddLUQNEt/9raWnXVct111w1tk9ESN2zYgA8++IDFHwZpFpMmlp07d8Jut6srxOeeew55eXlYvXp1yOfJVfkbb7yBpqYm1WQm1dpSO/jFL36R5R/l8pfZ2P/617+ioqJClXdubi7WrFmjrtIpNt9/OQb33nsvfvCDH2Dp0qWIq7iEQBRxEtUajUbt8ccf15xOp9bZ2al99atfVZHxo48+OqnXcDgc2urVq7W7776bRygG5b9//371eFNT06jt3/zmN7XrrruOxyBMcoUn31+dTqcZDAatsLBQ1U5NRI7Vpk2b1HGQ42c2m7WdO3ey7GNQ/i0tLarck5KStO3bt6t9H3vsMfX8ffv28RjE4Psv56aNGzeqWlrBmhEKSZIbpaZiouXjjz9WUe2LL76Ibdu2ISkpSeUeLFiwQEXGBoPhgiUsyax33nmnipSfeeYZHpEYlr+8xpgLhHHbEtVky1/K7Nvf/ra6un7vvfdw4MABlcwnbeYtLS0hX/+pp57Chx9+qGpHpJ1djp+8zu7du2P6dyZi+cu5Rsh+kqsjOQ4/+tGP1HOeffbZGP+liVf+lZWVePLJJ/HCCy9cFOcbzk1zkevo6FDLREpLS0clfLW2tqreMfIFk6zqV199FbfffvuEgcgdd9yBmpoalfwkVX4U/fKX8i4rK1PJw6tWrRraLicRaSaT4CbRTbb89+/fr5q7urq6VJkHLFy4EN/4xjfUj9xYDodD9eD44x//qJL/AjZv3ozGxkaV2Jrooln+LpdL/Z/IZG4PP/zw0Hbp4SdNm/Kaia4jiuUvvWa+//3vj2pa9nq96v7cuXNx5swZxJIxpu9GYZNuWrKEQ67Gxe9//3v1Iym9My4UiJw6dUq1lzMQiV35z58/X9WgvP3220PBiJyg33nnHfziF78I6z0TvfylZ5gYeWIN3A9cgQf77ssy9jlSkxXqOYkmmuUvOVaXX345qqqqRm2XnJ2SkpJpfe7ZIjuK5S+5ItIDcCTJ3ZHtX//61xFz4bZL0cXr17/+tVZZWalVVVVpTz/9tGaz2bQnn3xy1D6LFi3SXn/9dbXudru1m2++WSsuLtY++eQT1YYbWKQtnaJb/kJ60kjvGdl29OhR7a677tIKCgpUJjyF15sgKytL5enId1mOwUMPPaSZTCZ1P1T5b9iwQfWo2bt3r1ZTU6Pt2LFDs1qt2jPPPMPij0H5y7rs89vf/lb1OpP/Icl3eO+991j+MSj/seKZM8JgZBa59957tczMTJWEt3z58qCJeBJ/yglX1NbWqvvBFjk5U3TLX0ji2NatW1UXX4vFol111VUqKKHwHTx4UCX+yjFITU3V1q5dq7355psTlr8E3vfff79K9pMgRE7W27ZtG0roo+iWv3j++ee18vJyVf4rVqzQdu3axWKPYflfLMEIc0aIiIgorjjOCBEREcUVgxEiIiKKKwYjREREFFcMRoiIiCiuGIwQERFRXDEYISIiorhiMEJERERxxWCEiIgoQb377rv48pe/jMLCQjWf1q5du8J+DRlP7Ze//CUqKipgsVjU3DaPPvpoWK/BuWmIiIgSlN1ux4oVK9R8NLfeeuuUXuO73/0u/va3v6mAZNmyZeju7r7gBH9jcQRWIiIigtSMyCzWX/nKV4ZKQybvlFmVX375ZZw/fx6XXnqpmsjz6quvVo+fOHECy5cvx7Fjx7Bo0aIplyKbaYiIiCgoqTHZv38/Xn31VXz66ae4/fbbcf3116uZ3sWf//xnLFiwAH/5y1/UTOSlpaXYvHkzOjs7EQ4GI0RERDROdXU1XnnlFbz22mu48sorUVZWhoceegjr16/Hjh071D41NTWoq6tT++zcuRMvvPACKisrcdtttyEczBkhIiKicQ4dOqSSUyUxdSSn04msrCy17vP51H0JRAL7Pf/881i9ejWqqqom3XTDYISIiIjGkUDDYDComg65HSklJUXdFhQUwGg0jgpYlixZom7r6+sZjBAREdHUrVq1Cl6vF21tbaqZJph169bB4/GoJh1pxhEnT55UtyUlJZN+L/amISIiSlB9fX04ffr0UPCxfft2XHPNNcjMzMS8efNwzz33qATWbdu2qcely+6ePXtUF94vfelLqvbk8ssvVzUlTzzxhLr/ne98B2lpaaq772QxGCEiIkpQ+/btU8HHWPfdd59KRnW73fjZz36mckKamppUrsgVV1yBn/70pyogEc3NzdiyZYsKPpKTk3HDDTeo4EUCmsliMEJERERxxa69REREFFcMRoiIiCiuGIwQERFRXDEYISIiorhiMEJERERxxWCEiIiI4orBCBEREcUVgxEiIiKKKwYjREREFFcMRoiIiCiuGIwQERER4un/AY+uV2w88TplAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot(shape.fractal_dimension(counties, support=\"hex\"))" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.743071Z", "iopub.status.busy": "2025-06-29T18:42:44.743000Z", "iopub.status.idle": "2025-06-29T18:42:44.823145Z", "shell.execute_reply": "2025-06-29T18:42:44.822900Z", "shell.execute_reply.started": "2025-06-29T18:42:44.743062Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot(shape.fractal_dimension(counties, support=\"square\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two are also extremely related:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2025-06-29T18:42:44.823584Z", "iopub.status.busy": "2025-06-29T18:42:44.823508Z", "iopub.status.idle": "2025-06-29T18:42:44.865960Z", "shell.execute_reply": "2025-06-29T18:42:44.865720Z", "shell.execute_reply.started": "2025-06-29T18:42:44.823576Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Fractal Dimension (square)')" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ntCXkvny0tca/ih554lVyDRo00NxX18fo3r07LV++nCIiIjSBFOMy95wEHhgYSPPnz5fimly5VV2mgHGyN49G8XPKly8v7xI4kBo5cqSJfzoAALAGnBpy6dIlyYndt28f9ezZkyy5Ujhv48k3fpyn5pJPxWVmtMpW2KmUPllrBlyqgFfd8S8Kd78GAADbknwxEs968Gpu7Tf8SsajRV2WHH/n89b0qZFkak49WpU8MFCHV0pPGI820eu3xa22AwAAMHZKCc+ALF68WLONiy1bSuCkS6Vw7ee9a7SK8eNvMYWH4AkAAEDbmjVr6Ndff5V8Ws6hteZK4drPe1dfOw6g+PGT4VFk6yxqtR0AAICx9e7dm06dOkXdunXTlMGx1ErhnBye2kiS3f/qNvHzMjNaZaswbQcAADaN82S4C4W6jRfnOXGhZW5Cb0uVwvUZrbJVCJ4AAMBmcU3A+vXrSyuvyZMnky1XCs9oX7tqWqNVtgrTdgAAYLO4mDLnNnFdwebNm5O10aVSuHq0ilfb8aPa033oa5cUShWkAqUKAACs1/Pnz+nZs2dSO1AtNjaWXF1dzXpcSmHJdZ6iTVSqACNPAABgMy5cuEBt2rSh7Nmz04kTJyhr1qyyHYHT/0Nfu3dD8AQAADYjb968MsrERTDv3btHJUuWNPchKRL62qUPwRMAAFi1hIQEabHCPD09afv27VS8eHHKlSuXuQ8NLBRW2wEAgNU6duwYlSlTho4eParZ5u/vj8AJMgXBEwAAWK0FCxbQzZs3acKECeY+FLDlabu4uDg6efIk3bp1i169eiXzx5UqVUqyagEAAEAJ5s+fT/ny5aOgoCBzHwrYYqkCHvL88ccfafPmzRQfHy9DnrxKISoqSgIqnj/u27cv9evXj9zc3MiSoVQBAIBlOnTokNzGjBlj7kMBK379ztC0HS/rbN++PRUsWJD+/vtviomJkWaJvFKBR5+uX78u1Vn37NlDpUqVol27dhntgAEAAFLD03MNGjSgsWPH0o4dO3CSwLzTdk2bNqU//viDnJycUn2cR5341r17d7p06RI9ePDA0McJAACQLh8fH/ryyy8pMjKSateujbMFRoMK46nAtB0AgGXgKboKFSpopmi4uS+3XOHmvmB7opU0bZdaafuff/5ZegFxzhM7c+YM3b9/39DHBwAAkKp58+ZJU9/PP/9cil4yBwcHBE6gvNV258+fp8aNG0tkxyvu+vTpQ+7u7rRp0ya6ffs2rVy50jhHCgAAoIXrNfEIEy9e4kKYWbJkwfkBk9B55Gno0KHUo0cPSRJ3cXHRbH///ffp4MGDhj4+AACAJNMyarVq1ZJedcuWLUPgBMoOnk6dOiVDpMnxSryHDx8a6rgAAAA0eGSJV3VztXDt15qyZcviLIHygycebdKO/NWuXr0qBTMBAAAM7c2bN7R161aKiIig9evX4wSDZQVPXPNp8uTJ8h+Z8XzznTt3aNSoUfTRRx8Z4xgBAMDGcV7TunXraM2aNTRw4EBzHw7YOJ1LFfCoU4sWLaSeExfLLFCggAyh1qxZk4KDg8nV1ZUsHUoVAACYF79B52k6LkPw8ccf43KAol6/9a7ztHfvXilPkJiYKCseeAWetUDwBABgXj/99JPk12bPnp3CwsIUmxbyNlFFJ8Oj6HHMa8rn5kLVvN3JwR41pqz99dtR14Q9znkKCQmhhg0byg0AAMDQevXqRdu3b6euXbsqNnAKPh9B47ZcpKjYeM02r5wuFNTKl5r7eZn12EBBOU+Ojo5UtGhRqeAKAABgKNxwnosvaxe75PqBSs2lnRYcSgNWn0kSOLGIF6+p/6oztONihNmODRSYMM5z0NqVxQEAADKD0z+4hyoXXZ41a5biT2bw+Qe0+GB4mo9z+DdpW6hM6YF10rnC+Ny5c+nGjRuSKM6jUMkTxDkPCgAAIKO4F12nTp3o3Llz0txXyTgg4qm6d+ERKM6FqunjYZLjAoUHT23btjXOkQAAgM2Ii4uTPqn58+eX+/369aN27dpp7isVB0RRsf+V6nkXTiIH66Rz8BQUFGScIwEAAJvAq+c6dOggLVW4rZeTk5PUDFR64KRrQMSr78A66ZzzBAAAkKkXHnt7CaA4BeTatWsWdTIzGhB5uDpJ2QKwTjqPPPFKO07o40qvXFmcV0hoQyI5AAAkx6voeHSJFStWTFbSlShRggoVKmRRJ4sDIi5HwDlN6ZnSxg/1nqyYziNPkyZNopkzZ1LHjh2lCNXQoUNlnprfSUycONE4RwkAABaLe59yFwpOCFerX7++ogInTgQ/dvMpbQm5Lx/TWinHBTC5jlN6ZTA/r+tNLcqjzpM107nCOK+E4BV3LVu2JDc3NymYqd52/PhxWr16NVk6VBgHADAcXknHsxV16tSRHCel4ZpMXFpAezTJ3TULfVixIDX29Uy1anhaX/N1Gz9qUb6ASY8fLKA9C5cmuHz5MhUpUoS8vLzor7/+kvYsPH9dqVIlOWBLh+AJAMBwIiMjadCgQfTDDz9ImRsl4SCIi1qm90KYVtVwtGax3ddvnafteJg1IuK/yqk8X71z5075/NSpU+Ts7Gz4IwQAAIsSGhoqvenU8uTJI7MSSgucOPjh0aN3jSA8TKNqOI9GcR2nNhULykf0tLMdOgdPH374Ie3Zs0c+Hzx4MI0fP55KlixJn376KX322WfGOEYAALAQt27doqpVq0rdpn379pHSaza9K/GbqYMrVA0HvVfbffvtt5rP27dvLyNRR48elVGo1q1b67o7AACwIrySrnPnznT37l3y9fUla6nZxAEUqoaD3sFTcjVq1JAbAADY7jSdt7c3Zc2aVe4vWLBACmDyKmwl06eIJaqGg17B08qVK9N9nKfvAADANqxatUoa+nbv3p0WLVok2ywl/1Vds4lzmjK6cgpVw0Gv4InznLS9efOGXr16JeX1s2XLhuAJAMCG5MuXT/rUqYsm82uBpVDXbOJk8HfhQgWeOV1QNRyEzmOqz549S3J7+fKlFECrXbs2rVmzRtfdAQCAheE3zWpNmzalAwcO0J9//mlRgZMalx9Y2NVfRqDSoq7wxIEWVtSBXnWe0nL69Gnq2rUrXblyxeLPLOo8AQCkxC8XCxcupDlz5khR5Ny5c1vNaVLXbNoV+pA2hzygqNj4d9Z5Att9/c50wriag4MDPXjwwFC7AwAAheEUDW7PdfPmTanjNHLkSLIW6ppNfBvb0lcCKU4O5xyn1CqMg23TOXjaunVrinciXDRz3rx5FBAQYMhjAwAABeEOE9xmhafphgwZQtZKHUgBGGzaLvnSU+6SnTdvXmrYsCHNmDFDWrZYOkzbAQD89+aY+5Zy/9IPPvhA8VNuD1/8K9Nt7tmdyTMHRoxsUbRSp+0SExONcyQAAKAoy5YtkxEmd3d36WnKK+uUJrUGvWrIVQJjUXYFMwAAMJtu3brJSurJkyfLDIPSqJv6ptViJSKNnnQAJh95Gjp0aIafy4mFAABgGXhmITg4mFq2bCkpGVx6gPOblFgpPKNNfRk/r4mvJ5K+wXzB09mzZ+nMmTOUkJBApUuXlm3Xrl2T1Xb+/v6a5/EvHgAAWE5+U7t27WjLli20ZMkS6t27t2xXYuCka1Nf9KQDswdPrVq1Ijc3N1qxYoWmxgcXy+zZsyfVqVOHhg0bZvCDBAAA4+I3vNyndMeOHRbx5lfXHnPoSQdmXW1XsGBB2rlzJ7333ntJtl+8eFEqzVpDrSestgMAW5mm4y4R6lVJfJ9rOJUsWZKU7tjNp9RlyfEMP39NnxooP2ADok202s5enwN79OhRiu2PHz+mmJgYQx0XAAAYEf/Nfv/992Wq7u3bt5opOksInLSb+r4Lj6Hx8/j5AGYLnj788EOZolu/fj3du3dPbvx5r1695JcQAACU7+nTp3T48GE6evQonT9/niyNuqlvRiYY0ZMOzD5tx+X5hw8fLvU/1M0hHR0dJXiaPn26VKC1dJi2AwBbsHnzZhlpSp6GYUlQ5wnM8fqtd2Pg2NhYmRvnLy9RooRVBE1qCJ4AwNo8fPiQ+vXrJ29ylTg1p64Srk8/OVQYB8VXGFfjYKl8+fJyoLt27aIyZcrIDQAAlOfLL7+UMgQ8XXfw4EFFragLPh9B47ZclNYq+lQHRy86UHzOU8eOHaUJMPv333+pSpUqsq1cuXK0YcMGYxwjAABk0pw5c6QHKddwUlLgNC04lAasPpMkcGKoDg5WFTzxOxau58Q2bdok03bPnz+X5pFff/21MY4RAAB0dP/+fVnMo1agQAHas2ePomYIgs8/oMUHw9N8XPW/6uA8LQdg0cETzyNyk0jGxdQ++ugjypYtm5Tzv379ujGOEQAAdHDnzh2qWLEiffzxx3Ty5ElFnjsOiHiq7l3U1cEBLDp4Kly4MB07dkwSxjl44sKY6irjLi7vrrkBAADGxX+n69evL6vo1J0glIYDoqjY/1Zsvwuqg4PS6JwwPmTIEPrkk08oe/bsVLRoUfkFVU/ncd4TAACYZ5ouX758lCVLFslp4nIy/LlS39TqEhDx6jsAix55GjBgAB0/flx+MbnAmrppZPHixXXOeeKAi3vl8Vw8/7JzzZF34Q7flStXlj8I/D0XLVqU5nN///132W/btm11Oi4AAEsSHBwsq5/HjRun2cY9SJUaOOkSEHm4OqE6OCiOXu2yOXjhSuM8+qTGOU8BAQE67Yen/ipUqKBZvfcu4eHh1KJFC0lYP3v2LI0ZM4YGDRqU6iq/27dvSzFPdXI7AIC1ev36NUVFRdG+ffsoLi6OlJLTxP3ntoTcl4/Jk74z2l5lShu/DNd7AjCVDBXJ/PbbbyVI4cTwdzlx4gRFRkZKMKXTgdjZyeq99EaJRo4cSVu3bqXLly9rtnHRt3Pnzkkelhr3aapXr560kTl06JCsBszIqJYaimQCgNLxn27tkgMbN26Uv7vOzs6kxKrfqdVt4uf1X3VGVtWl5vO63jS6ha8JjhisRbSSGgOHhoZSkSJFqH///rR9+3Z68uSJ5rGEhATpi7RgwQKqVasWde7c2WgHzAGSOkFdrVmzZnT69GlNqxg2efJkyps3r7SMyQh+p8YnXPsGAKBU/EaT/96+fPlSs417iyolcOKASDtwYg9fvJbt/LgaB1ILu/qnGIFyd81CCz6uhMAJLDthfOXKlRIgzZ8/X5LFOaJzcHCQX1TudccqVapEffv2pe7duxvtF5jbC+TPnz/JNr7PARyPdnl5edGRI0do6dKlFBISkuH9Tps2jSZNmmSEIwYAMCz+m8szAdyUfdasWTR+/HjFnGKemuMRp9RGkngbj5Px4018PTVTcRxA8X19W7MAKHq1HScjLl68WBK0OZC6deuWVBjPkyeP1BPhj6aQvDKuetaRt8fExFDXrl2lgq4uxzN69GgaOnSo5j6PPPFSXwAApeH0iTVr1kgKw6hRoxTVky4yJi7FiJM2lVbdppo+HprtaK8CVl+qgIMUTvLmm6l5enrK6JO2x48fk6OjI3l4eNClS5ckqOMVfGqJiYnykZ9z9epV8vHxSbFfHilTwnA3AEBq1q1bJ6PsnMvJateuLTcl5jZlBOo2gaXTuzGwOdSsWZO2bduWZNvOnTulvx7XM+G2AxcuXEjyOC/d5REp7uuE0SQAsDS//fabjKhzWgIvjuF8TiV4V7J3elC3CSydWYMnTna8ceNGklIEnKvE7V84QZ2n07jwG+dcqVfWcVkDnmLr06ePJJBzfhMPYTOuaeLn55fke+TKlUs+Jt8OAGAJeAUy//3iEXWlVAtPL7cpPZx04Znzv5wmAEtm1uCJV8k1aNBAc1+dd8RJ58uXL6eIiAjp0aTm7e0txeACAwMleZ2La3JDYu6vBwBgLU6dOkVVq1aVz11dXeW+EgpeqvObjtx4ovNUnTpblcsVIBkcbKLOk61BnScAMAf+c/z555/Lope1a9dSx44dFXMh9M1vSq/OE4Clvn5bVM4TAIA14wU5vFKYP3Iag1Lom980tkUZypfDBeUHwOroHDxxSxWuOL5nzx5Z6aZezaYWFhZmyOMDALB68fHx5OTkpCny26ZNG6pevTpZcn4T8y2QkwJKmKaMDYCig6fevXtLc95u3brJ6o/kdZcAACDji2YGDhwoUwzcXoX/nnJZFaUEToxznPSdqot8qYw+ewBmD564Pctff/2lcxNgAABIilcb82ph7pLAC2jUSeJKkpmaTChJANZK5+CJl8pyKQEAAMgc7s7AnRuKFy+uiMBJu1q4uk2KvgEQJ4ijJAFYK52DpylTptCECRNoxYoV0iYAAAAyhgv2jhgxQor3FipUSLb16NFDsavp3F2daFLr9yQQ0nXqDiUJwJrpXKqAGwDfvHlTltQWK1ZMKntrO3PmDFk6lCoAAGPo3LmzlCCoX78+7d27VzE5o+9aTdfENx/tCn2coX25OjnQjI4VUJIAzEKxpQq42i0AAOjum2++odDQUJo6daoiAieepjt+8ymN2nAh3dV0HDi1LJef/rrw6J37/OnTKlhhB1YPRTJTgZEnADAEfvfLieCNGjXSbOPyLvb29hZX9DJ3NkdydnSkh9Gv0229cnhkQ1QQB7NR7MiT2j///EOXL1+Wd0++vr4ynQcAAP/hvpx169aVNlMnT57U9NdUSuCka9HLZ68SKLBxcZq9+5rc1/5atF4BW6Nz8MSFMXnefv/+/dJ0l3OfOMLjHnW///67Yjp+AwCYE9fBK1myJL19+5bi4pRT7yg+IZHGbEp/mi4txfJko4Vd/VOMWPGIE1qvgC3ROXj68ssvZVjs0qVLVLZsWdnGc/jczHfQoEFSswQAwBbxG0k3NzcZXeLbqlWryMHBQUq8KAGPOI3ZdJGiYt/o9fVctqCmjwc18fVMUdIAzX7Bluic88Rzibt3705Rk4SHpZs2bUrPnz8nS4ecJwDQ1YkTJ6hTp07Up08fGjt2rOJOoL796dS4XAHymUDpok2U86Tz5DsnOyYvT8B4W/I+dwAAtoJH4G/fvk0rV66k16/1r8qttP506pwm1G0CyMS0XcOGDWnw4MEyPVegQAFNYmRgYGCSFSUAALaEi11yblOXLl3IxUW/qtyGDJaO3oikjWfuUWz8W8rr5qR3fzoecUI+E0Amp+3u3r0rHb8vXrxIhQsXltV2d+7coXLlytGWLVs0VXMtGabtAOBdjhw5Qt999x2tW7fO7MFS8um5YevOSdCkr8DGJalYHlfkM4HFiTbRtJ3edZ527dpFV65ckdV2XKqgcePGZC0QPAFAev7991/pR/fw4UOaOHEiBQUFKSZw6rdK/y4P7q5Z6JsPy6E6OFisaKUHT9YMwRMAvMv27dtp9erVtGDBAllhZ248VRfw7d40i1i+i4erEx0b3YicHM1fhwrAKopkzp07l/r27StD0/x5erhcAQCAtTlw4AC5urpSlSpV5P77778vN6Xg0gH6BE7qApdTP/RD4ARgyJEnb29vaTHg4eEhn6e5Mzs7CgsLI0uHkScA0LZx40bq0KEDFS1aVJqfc4FgJYw0adda4sApcG2IzvtBQjhYk2gljTyFh4en+jkAgC3gVcYcONWrVy/VUi2mFnz+AY3bkrTYJecr6WpgAx8KbFIaBS4BTNXbTo1bD1y4cEH+sCilii4AQGbxKDonhTMeaTp16pSMvpvbtOBQWnww5ZtYfaqGB5TIi8AJQA86ZwYOGTKEli5dqgmcuPGlv7+/lC3gfncAAJaMMxkmTJhApUqVkqRwNSUETsHnI1INnPTJc+LpOm6rAgAmCJ7Wr19PFSpUkM+3bdtGt27dkpIFHFQpsSUBAIAuOHfz6dOn8uZw3759ijl5nOPEU3WZpU4QR8VwABNO20VGRpKnp6d8HhwcLEmU/A6tV69e71yJBwCg5BEnDpzYjBkzqFmzZtS6dWvFJIVHxsRRVGx8pvfpiYrhAKYPnvLnzy89nLy8vGjHjh1S44S9evVKuocDAFiShIQEGj9+vBS8/OWXX2Qbl2Uxd+DEBS+5H52+bVW0cTL5+A/eI88c/03VOdirx58AwCTBU8+ePaljx44SPPG7tCZNmmg6ipcpU0avgwAAMJezZ8/S999/L43NP//8c6pRo4bZR5vm7b1Os3ZfN9g+OZmcA6eaPubP2wKwyeCJWxH4+flJjzuesnN2dpbtPOo0atQoYxwjAIDRVK1alX744Qfpy2nuwIlHmyZuDdW7Snh6eOoPAAwD7VlSgSKZANYrPj6evvnmG/riiy8ob968pBQcOPVfdYaM1S9rTZ8aGHkCqxetpCKZye3Zs0dujx8/lqFubcuWLTPUsQEAGFyfPn1o5cqVkmrAi17USeLmnqrj/CZ9Ayf+EdLqFWH3vyRxlCUAMGPwNGnSJJo8ebL0d1LnPQEAWIoRI0bQ7t27Jb/J3H+/1KvpjtyI1DkxfHzLspTHzVlaszyLjaMvVp+V7doxFMoSACgkeFq0aBEtX76cunXrZpwjAgAwoLi4OLp06ZIU82Wcs8nVw9X5muYKmHZeiqD1Z+5TzOsEnb5ePZLUI8A7yaq5hfZ2KVbnoSwBgEKCJ84XqFWrlnGOBgDAgB49ekQtW7ak69evS0NfHx8f2W6uwMlQ5QdSK3DZ3M+Lmvh6JmkWjLIEAAqpMN67d29avXq1cY4GAMCA3N3dJVBydHSUFcLm9GfIA+q36kymAifPHM60sKu/BEqp4YCKyxG0qVhQPqKeE4BCRp5ev35NP/30k+QMlC9fPkWH8ZkzZxry+AAAdJ6mc3Jyknwm/vu0du1aqR7O/TfNZepfobTkUOZ60gU2LkUDG5ZAQARgicHT+fPnqWLFivL5xYtJ+yyZO/kSAGzbtWvXpIgvt4v68ssvZRvXbzKnacGZC5y4gS9P06U12gQAFhA8KalRJgCAtr///pvOnTtH3333naQYZM2a1awnKD4hUe/AaWADHwookRd5SwAKpFedJ3bjxg26efMm1a1bV/5AaTfVBAAwh4EDB1JUVJTUcjJ34MR+PXaLEvUo3uTh6kSBTUpjig7AWhLGnz59So0aNaJSpUpRixYtKCIiQrbzu7xhw4YZ4xgBAFJ1+fJl6tu3rzT3ZfwGLigoiAoUKKCIM3Y76pVeXzeljR8CJwBrCp4CAwMlCfPOnTuULVs2zfZOnTrRjh07DH18AABpLl7hN3JLliyRaTpz4/pNx24+pS0h9+Uj3y/q/v9/IzPq87re1KI88psArGrabufOnZJXkDwJs2TJknT79m1DHhsAQJpcXFxo9uzZsvqXE8TNKfh8BI3bcpGiYuOTJHqPfb+sFLXMyMydu2sW+rqNH7Uor4xRMwAwYPAUGxubZMRJLTIy0myF5wDANvAKXwcHBypbtqzc55V1HTp0MGu+Ja+mW3wwZVI413Ma+PtZcna0p7iEpD1AtTUonZf61vVBYjiANU/bcYI4N9VU4z9a3Bx4+vTp1KBBA0MfHwCA4LSAatWqUfv27eVNnPbfIHMJPv8g1cBJW1qBk93/puh+6VkNBS0BrH3kiYOk+vXr0+nTp6VVy1dffSV9o3iFy5EjR4xzlABg87g3Xc6cOaXYJRfCdHV1NVtfOm5/kie7M43dnLTWnS6479xXzf8bQQMAKw+efH19pVDmwoULZfic3wG2a9eOvvjiC/LyQpIjABgOr+718PCQz/Ply0dHjx6lokWLkr29zoPmmQ6a5u29Tr8cuUXP/31jkH3ytB4HYtxGBQBsoM6Tp6cnTZo0yfBHAwDACdYqFS1evJiGDx9O27dvpzp16sh58fb2Nksy+Ij15yg2/q3B980jWABgI8ETLxHm0afHjx9LvpO21q1bG+rYAMCGcRoAj2z/+uuvmuDJ1KNNX64+Q8EXHxrte+RzczHavgFAQcETJ21++umnsrouOU7cfPvW8O/OAMC28N8STg3gBSpcgNccieCDfw+hN/qUB88Au//lPFXzdjfK/gHAuOz1aX/AS4O5sjiPOmnfEDgBgL7TdD/++KNM06llz55d2qyYejUdlx4YsPqswQInuzTuc7NfB3u0tAKwRHYq/qulgxw5ctDZs2fJx8eHrFV0dLSs6nnx4oX8vABgXKdOnZIyBOzw4cMUEBBgllPO+U0DVp/J9H7UBS/t7e1o0rZQSQ7XLp7JgVNzPyywAbDU12+dp+24xsr+/futOngCANOqWrUqjR07VlbU1apVyyynn3OcuEq4PnJlzULzP/anyNg4yWPi6Tj1qFITX09NeYPkjwGAjYw8vXr1Sqbt8ubNS+XKlZM+d9oGDRpElg4jTwDGxX92uK1K586d5V2iEszedZVm77mh19cGNi5JgxuXMvgxAYCVjDytXr1aettlzZpVRqC08xH4c2sIngDAuDh3csGCBbR7925at26dWauE84jTkN/P0Lbz+q2qy+ZkTwMbljT4cQGAFSWMjxs3jiZPnixR3a1btyg8PFxzCwsLM85RAoBV6d69O7m5uVGjRo3Mehw7LkZQ5a936R04sVfxibQr1HjlDABAeXQeeeKWLJ06dTJ5hV8AsFy8GpffYKlzJTk5/Pbt25Q7d26zHM9/FcNv0Kzd1zK9Lx4z46Rwzm1CLhOAbbDX5x3j2rVrjXM0AGB1nj17Ri1btqQaNWrQgwcPNNvNFTjxaFPAt3sMEjgxlVarFQCwDTqPPHEtp++//17ynsqXL58iYXzmzJmGPD4AsHCcH8l14V6+fElnzpyhAgUKmO1YOHDqv+qMBDyGhlYrALZD5+DpwoULVKlSJfn84sWky3rNmfQJAMqaplNP7bu4uNAff/whbZ14ha65pumO33xKozZcMErgxNBqBcB26Bw87du3zzhHAgBW4eHDh9StWze5cSsnVrJkSbMFTT/uuU5LDodRbJz+raPUbwtTC7zQagXA9iDrGwAMihv5cgmCESNGSF04c07RlZ/4N83ecz1TgRPrW9dbPqLVCgBkeOSpXbt2tHz5cik4xZ+nZ+PGjTizADZs6NChUsaEazlly5bN5N8/PiGRxmw8T+vP3M/0vnJldaRvPyovrVQqFcmdotUKN/dFqxUA25Oh4ImrdarzmZRSDRgAlIFX0HHBS67/xnlODg4ONH/+fJNPz/FqtyWHbtK+q09It74JSWV3dqA6JfNQ1+rFqIaPh6b8AAdQaLUCAHq1Z7EFaM8CkDFxcXFUqlQpunPnDk2fPp2GDx9u8lMXfP6B9KSLin2T6X1xmxWuFo56TQCWKdpE7Vn0ynmKjIyk06dP0z///ENPnz7V+5sfPHiQWrVqJUuXeWRr8+bN7/yaAwcOUOXKlWUFT/HixWnRokVJHl+yZAnVqVNHasjwrXHjxnTy5Em9jxEA0ubs7CxdBypUqECtW7c2+amaFhxKA1afNUjgxEp7uiFwAgDDBk+XLl2iunXrUv78+al69epSJZi7oDds2JCuXLlCuoqNjZU/uvPmzcvQ87lCcYsWLSQ4Onv2LI0ZM0Z66W3YsEHzHO6316VLF1kVeOzYMSpSpAg1bdqU7t/PfP4DABDdu3dPqoOr9e7dW96g8AiUKQWfj6DFB8MNtj91pXCeAgQAMMi0HS8/9vPzo7x581K/fv2oTJky0hk9NDRURnt4BIrrPnEwpQ8eedq0aRO1bds2zeeMHDmStm7dSpcvX9Zs42M5d+6cBEppFfXkESgO0NTLpt8F03YAqTt06JD8jnKblcOHD5OTk5NZThUHOBUm7aSXcQkG3/eaPjWopo+HwfcLAMZnqtfvDNd5mjVrFhUtWpSOHDkiU2ZqzZs3p/79+1Pt2rXlOdOmTTPWsUqAxKNI2po1a0ZLly6lN2/epKh2znipND/m7u6ebt4G37RPPgCkVKxYMU0RzKioKPL09DR5UvjDF//SprP3jRI4MVQKBwCDTdvt2rVLRn60Ayft9gtc04VbthgTj37xlKE2vp+QkCB5WKkZNWoUFSxYUHKf0sIBH0eq6lvhwoUNfuwAloorg6vx78bevXvlTZSpAicOmubsvkb+U3ZRlyXHKXDdOTp4PfXfd0NApXAAMFjwFBYWRv7+/mk+XqVKFXmOsSVvAaOedUytNQz34FuzZo3Unkot6FMbPXq0DPGpb3fv3jXCkQNYHl7E4e3tLT3p1DhPkRPFTVXo0n/KTpq1+zq9+DdzSeEVC+Ugd1enFIUu1Xi7V04Xquad9ig1AIBOwVNMTEy684dubm7S+NOY+J0ujz5pe/z4MTk6OpKHR9IchR9++IG++eYb2rlzpzQwTg+/EPDPpn0DsHX8xoSL4/LvHP8+mRoHTv1WnaEX/2Zueo7LNH1e15s2D6xD33zoJ9tQKRwATNbbjgOotEZwOE/I2CWjatasSdu2bUuyjYMjHvXSznfiejNff/21TCPyYwCgOx7NXbZsmSy24OlvU+KpulEbzmdqH3mzO1G/ej7UrWYxcnK01xS6XNjVH5XCAcA0wRMHRuktRebHU5s6Sw+PVN24cSNJKYKQkBBJ7uYSAzydxiUGVq5cqVlZx3/Iuf1Dnz59JIGck8V5ak57qm78+PG0evVqSW5Vj1Rlz55dbgCQtvXr19P169fld4/x7+KECRNMfsrm7rlOzzM54uToYE89ArxT1G1CpXAAMFmpAi5OmRH16tXL8DfnmkwNGjRIsb179+4yXdCjRw/pkcXP0z6OwMBAqTnFxTU5iZ2DKjUOmLRr0KgFBQXRxIkTM3RcKFUAtoiL3vJILb8J4jIEtWrVsui+dAxlBwBsS7SJShWgPYsZTz6A0nDZkVy5ckmfutRKfxjT1L9C6efD4ZnqS5fcnM4VqU3FgobbIQAomuLqPAGA9dmyZQs1adKEsmXLJve5wa+u0++G0HvFSdp9+YnB94uyAwCgmN52AGD5xo4dK9XCucWRmjkCp6+3XTJ44ISyAwBgTAieAGxUo0aNpMyHl5eX0VfKprWibvaua/TzkVsG3a86/Atq5YsmvwBgFJi2A7AhT548kf6UjBt688o6dcsVU9dwmrj1Ej2M/v+2SLpwdrSn/vV8qFR+N5ryVyhFvPj/KuieOV0kcOJVdQAAxoDgCcAGxMbG0sCBA2n37t1SDkRdVNZcgVP/VWdI37EuVyd7OjuhmaZ2UzM/T+l5xz3pOMeJK4QnL08AAGDy4Kldu3YZ3iG3QgEAZeFGvkePHqUHDx7Qnj17qGPHjib9/tpNfaf8dVnvwInFxifSP7efUU2f/wJADpTUnwMAKCZ44mV/AGC5uH3SunXr6NmzZ1S/fn2TjzRN2pZ0ai2zeJQJAEDRwdMvv/xi/CMBAIPhVkoDBgyQUeMPP/xQ09DX1ILPR9CA1f/fVNhQUIIAAMwJq+0ArND8+fNp1apV1LdvX8l3Moc/Q+7TFwYOnFCCAAAsNmGc+1/xFMCdO3coPj4+yWNnzhj+XSYA6GbYsGF0+vRpGjJkCLm6upr89E0LDqXFB8MNuk+UIAAAix15mjt3LvXs2ZPy5ctHZ8+epWrVqsnKnbCwMHr//feNc5QA8M6WBD/++KOmXhO3VuE3ObVr1zb5mdt27kGmAqfAxiVpwceVyCunS5LtXIJgYVd/lCAAAMsbeeL2DT/99BN16dKFVqxYQV999RUVL15cOq9HRUUZ5ygBIE08+lujRg26fPmyBE3ajbJNLfj8Axr0+1m9vtYrWX2mZn5eKEEAANYRPPFUnbrbetasWSUxlXXr1k3+gM+bN8/wRwkAaXJycqJevXrJyFPFihVNfqbUZQh2hz6kpTpWC3d3zULjP3iPPHOkrM+EEgQAYDXBk6enJz19+pSKFi0qt+PHj8sqnvDwcLO0eACwRc+fP6e4uDjKnz+/3A8MDKTevXubvKxIZssQdKhciD6sVNDgxwUAoKicJ27psG3bNvmc3+3yH23uyt6pUyfNkmgAMB7ONaxUqRJ17tyZ3r59K9vs7e1NGjjxaNOc3dep36ozmarftPVchOwLAMCqR54434mrFTPOrXB3d6fDhw9Tq1atzJprAWArePUc96izs7Oj+/fvU5EiRSyqL502Drx4yg8VwgHAqoOne/fuUeHChTX3uc0D33jK7u7duyb/Qw5gC/gNC48usVKlSlFwcLBMl5tqtCkzeU3vgmrhAGD103be3t7yrjc5XmnHjwGAYXFPunLlytGVK1c02+rWrWuywIlHmmp/t5e6LDlu8MCJoVo4AFh98MQjTDxdkNzLly/JxSVpXRYAyLzJkydTaGgojRkzxiztVTKb15QWVAsHAKufths6dKh85MBp/PjxlC1bNs1jnLR64sQJsyyTBrB2y5cvlwDqu+++M3nNpoFr9KvZ9C6oFg4ANhE88Qof9cjThQsXpLaMGn/O+RfDhw83zlEC2JCDBw/KFB33pVOXB+HitKbEU3UDVhsmcMqVLQu5ODrQw+jXSaqFaxfEBACwyuBp37598pFbs8yZM4dy5MhhzOMCsEkhISHUoEEDSQ7nkVxuf2Rq8QmJNGbTRYONLn3brhw18fVEtXAAsN3VdrNnz6aEhIRUE8YdHR0RVAFkAo/g8upVHs319fU1fdC08TxtOx9BcQn/lSPJjOSjSyhHAAA2GzxxYT6u6TRgwIAk29etW0dbt26VJdQAkHHHjh2jypUrS8DEOYUrV66UHnWmNC04lH46GE76lqvkvnTjW5al3K7OUnqAV9Alb7cCAGCzq+04MZynFZKrX7++PAYAGffDDz9QQEAAjR49WrPNHIHTYj0Dp88CitGaPjXo8MiG1KJ8ARldalOxoHxE4AQA1krnkSfup5XatN2bN2/o33//NdRxAdgELnjJizCio6OTFMI05VTdkkPhOn8dDyjN6+JPLcoj4RsAbI/Of6mrVq0qLVqSW7RokUw9AED6Xr16pfm8devWdPr0aVqyZInJAye24mg46dNabl6XSgicAMBm6TzyNHXqVGrcuDGdO3eOGjVqJNv27NlDp06dop07dxrjGAGsAo/YTpgwgTZs2CABk5ubm2w315sOLkcwa/d1nb7Gw9WJpn7ohxIDAGDTdH6ry/kZnODK/e04SXzbtm1UokQJOn/+PNWpU8c4RwlgBWJiYmjVqlV07do1CaBMhfvSHbv5lLaE3JePfJ8Dp/6rztCr+LcZ3o+7axY6NroRAicAsHl2Kk64gCQ4/4T7hr148QKlF8Cg+I0HN9DmcgSmaq8ybstFioqN12zzzOFCL+Pe0Mu4jAdOvGZuYVd/BE4AoGimev3OVPDECeKcKK7NGopnIngCQ+DfjbFjx1LTpk1lqtuUeHRp8Jqz9OeFiEzvy9XZgWZ0qIDACQAUL9pEwZOjPsmuX331lUzZPX36NMXj3OcOAIhmzpxJ06dPl7pNN27coOzZs5tstClw7VmKe5v5QeUqRXPR2s9roewAAEBmcp5GjBhBe/fulV5bzs7O9PPPP9OkSZOoQIEC8iIBAP8ZNGgQ1a1bV35XTBU4cc2mAavPGCRwYjeexBpkPwAA1kTn4IkTxPnFoH379tKOhZPEx40bR9988w399ttvxjlKAAsQHx8vI7JqWbNmpf3791O7du1M8v2Dzz+QYpeG9PzVGzp+M+UIMwCALdM5eOIedt7e3vI5zyfyfVa7dm3pBg9gq/lNPMrUqVMnWrNmjWY7t1sxVY4TJ4Ybw7GwSKPsFwDAZoKn4sWL061bt+RzblyqfqfNI1K5cuUy/BECWABuqcKJ4blz59bUbzJV0HTkRiQNWxdCUbFJF28YDvrTAQBkarXdrFmzyMHBQfI59u3bRy1btpQkcS4AyAmygwcPJkuH1XaQEa9fv5Z2Rbyyg/HvwaNHjyT/zxS4VtOojRdkas2YfutdnQJK5DHq9wAAsJlSBezOnTtSLdnHx4cqVKhA1gDBE7wLr57jWk2FChWiLVu2mGx6Tju/acDqs0b/PrmzZaHT45pgtR0AWIRoEwVP9rrmdTRo0EAqJKsVKVJEEmKtJXACyIiXL19SaGioFL0MDzdsknZGShEMXGP8wIlNa1cOgRMAQGbqPHFex8WLF03+LhtAaSpWrEhr166lKlWqUMGCBU32fXmqjksRGJtXThcKauWLwpgAAIaYths2bJgEUd9++y1ZK0zbQXJXrlyhfv360YoVK6ho0aImTQg/GR5Fj2NeUx5XZxr2xzl6GP3aKN8rsHFJKpbHlfK5uVA1b3eMOAGAxYlWaoVxrmXDhTF37dol77pdXV2TPM5J4wDW5osvvqADBw7IgojNmzebbJRp0rZQinhhnGBJDaNMAABGDp542s7f318+1859YpjOA2u1dOlSGjp0KM2fP99kgVP/VWfIGF27edK9XaUCVLtkXvLMmRWjTAAAxpq2CwsLk+KYthAgYdoOLl26JAnhHTp0MPnJiE9IpBrT9lBUbLzRvseaPjWopo+H0fYPAGAOilttV7JkSXry5InmPldS5po2ANbmwoULVLVqVerWrRudO3fOpN+bR5wqTdlp1MCJcQ4VAAAYOXhKPkAVHBxMsbFoGgrW57333pOSHPXq1SMvLy+TBk79Vp2h2Li3Rv9enBQOAAAmynkCsEZXr16lEiVKSPV8e3t7KUOQLVs2+dxUq+ombr2U6aTvxESV1IBKTGMynifdPXP+t5oOAACMHDxxrlPyfCdbyH8C67d8+XLq378/jRo1ioKCgmRb9uzZTfb9OXBafiScHkbHZfhrPHM404yOFSnyZVyK0gLzyC7VWlDq31YOstTPBQAAIwZPPG3Xo0cPcnZ21vT14ro3yUsVbNy4UY/DADAfR0dH+f/8zz//UGJioslGmzJTjmBi6/fS7DfXorwXLbL3T7FfHnFC4UsAABMGT927d09yv2vXrgb49gDmwU18eYpO/X85T5481LRpU5MHTvqUIwhsXOqdlb/58Sa+npoCmyh8CQCgoMbA1gilCqwX/3dfsGABrVy5kvbv309Zs2Y16fdXVwznKuFT/rxEUbFvdPp6nq47MqoRpt0AACypwjiAJYuKiqJJkyZJ2Q11rpOpgqZ5e6/TL0du0fN/dQuYkk/XIV8JAMC8EDyBTfHw8KBVq1ZJAUzO2TPV9NyojRfo+Sv9g6bc2bLQtHbl0KgXAEABMG2XCkzbWdc03Zw5c6hGjRpyM7XMtln5sGIBal+lMNUo7oERJwCAd8C0HYABzJo1i4YNG0ZFixaVyuFubm4mm6Y7fvMpjdpwQa/ASV2P6YeOFRE0AQAoDKbtwKr17t2bli1bRgMGDDBZ7SZ9yw+ooR4TAICyIXgCq8J1mg4cOCDtVRivtggJCZFaTpYwTcdQjwkAQNkQPIHVSEhIoDZt2kjfxW3bttEHH3wg200VOPFUHY846RM4ebg60biWZckzZ9Yk1cIBAEB5EDyB1eAgqWTJkuTi4iIlCUyN6zfpO1U39UM/rKQDALAQpiunDGCkabp///1Xc/+7776TNiuffvqpyc83V/LWFzf0BQAAy4DgCSzWo0ePqHnz5pIUri6Uz70XfX19zXI8tyJf6f2147ZclGk/AABQPkzbgcW6efMm7d27l5ycnOjGjRsyZWfKFivaPePYmpN39N4nt2nhfdb08TDgkQIAgDEgeAKLVatWLVqyZAlVr17dZIFTamUIvHK6UOeqhaVfnbmm/QAAwEam7Q4ePEitWrWiAgUKkJ2dHW3evPmdX8PL0CtXrixJwcWLF6dFixaleM6GDRtk6kY9hbNp0yYj/QRgShEREdS5c2eZrlPr2bOnyabp1GUIkieFP3zxmmbtvp7p/fMoFgAAKJ9Zg6fY2FiqUKECzZs3L0PPDw8PpxYtWlCdOnXo7NmzNGbMGBo0aJAES2rHjh2jTp06Ubdu3ejcuXPysWPHjnTixAkj/iRgCnwt165da7KedBktQ2CITCUevVJP/wEAgLIpprcdjzzxCFHbtm3TfM7IkSNp69atdPnyZc02fiHlIImDJsaBE/e22b59u+Y5nFScO3duWrNmTYaOBb3tlImve69eveiXX36h0qVLm/R7H7v5lLosOW60/S/q6o9SBQAAmWSq12+LWm3HAVLTpk2TbGvWrBmdPn2a3rx5k+5zjh49muZ+4+Li5IRr38D87t27R7t27dLcL1u2LB05csTkgZMx85FyZcuCwAkAwMJYVPD08OFDyp8/f5JtfJ8rS0dGRqb7HN6elmnTpkmkqr4VLlzYSD8BZNSVK1eoYsWK1K5dO7p+/XqSEUpzyJPdWe+v5UPOmdUxRdAU2LgU/TOuCUacAAAsjMWttkv+4qmeddTentpz0nvRHT16NA0dOlRzn0eeEECZV4kSJei9996jmJgYsrc3fYyvXY7gVmQsrT5xW+998X/RBZ9UJns7uyTlDdCCBQDAMllU8OTp6ZliBOnx48fSlsPDwyPd5yQfjdLGq/L4BualHjXkQJevKS8EcHNzM/m1Sa0cQWZFvoyjNhULGmx/AABgPhY1bVezZs0kOTBs586dVKVKFcqSJUu6z+GaQKBc3MiXSw7Mnj1bsy1PnjxmCZxSK0eQWShDAABgPcwaPL18+ZJCQkLkpi5FwJ/fuXNHM52m3aOMV9bdvn1bpth45dWyZcto6dKlNHz4cM1zBg8eLMES9zjjvBn+uHv3bhoyZIgZfkLIqLt379KzZ89ktOnt27dmOXHplSPQF08WowwBAIB1Meu0Ha+Sa9Cggea+Ou+oe/futHz5cimKqA6kmLe3NwUHB1NgYCDNnz9fimvOnTuXPvroI81zeITp999/p3HjxtH48ePJx8dHagNxFWpQrv79+1O2bNno448/JgcHB7McA+c4GXrEiQW18kV+EwCAFVFMnSclQZ0n49u4cSP9/PPPtGXLFs2Uq7ltCblPg3//bxTUEHjEiQOn5n5eBtsnAACY//XbohLGwTpERUXRZ599Jv+5Fy9eTAMHDiQlMEReUnv/ghRQMi955sCKOgAAa4XgCUzO3d1d8tW4Zc7nn39utivAOU7Hbz6lY2FcI8yOwp681HtfubI60rcflccoEwCADcC0XSowbWd4nHfGFcLLly9PSsCr6kZtvEDPX/1XmT4zPijvRXM6V0JeEwCAmWHaDqzGwoULacCAAdJWhRcJZM+e3eyBU79VZzK9Hw9XJ5rSxo9alEdOEwCALcG0HRhdhw4dpAVO+/btycUl83lFmZ2mG7n+vN77GNjAh0rmd0OVcAAAG4bgCYzi4sWL5Ofnpyl2eenSJakWbi6GqhoeUCIv1fT5r5o9AADYJouqMA7Kx02ae/XqRRUqVKADBw5otps7cDJE1XB31yzSkw4AAGwbgicwKO5Jl5iYKM2Y1ZXjzcmQVcO/buOHpHAAAMC0HWQeB0rcUoUDJzZv3jwZfapdu7bZT6+hqoZ/XtebWpQvYJBjAgAAy4acJ8h0f0JurcLTcgsWLJBtrq6uigiceNTpyI0nmdoHVtQBAEByCJ4gU06ePEmrVq2SfnSDBg2iMmXKKOKM6psgzsUuewZ4U7E8rlhRBwAAqULwBJnSsGFDmj59ujReNmfgxKNMPEX3OOY13Yp8RbN3X8twnpOrkwP1CChGtXzyUI3iHshrAgCAdCF4Ap2rt06YMIGCgoIod+7csm348OEWOcpk97+PMzpWQFsVAADIMARPoJOOHTvS33//TQ8ePKB169aZ/eypyxDos5rOM6cLBbXyReAEAAA6QfAEOpk6dSqFhYVRYGCgRZchGNigBAU2KYUpOgAA0BmCJ0jX8+fP6dq1a1StWjW5X7lyZQoNDdWUJbDUMgQBJfIgcAIAAL2gSCakiUeY/P39qUWLFnTv3j3NdiUEToyTw3XFeU5eOV1QKRwAAPSG4AnSVLBgQUkKz5EjB0VFRSnuTOVzc9ErQZzznBzs1fcAAAB0o4whBFBU0UsucmlnZ0fOzs60adMmCZ5y5cpFSsN95ngU6eGL1xnKe0KCOAAAGAJGnkDj2LFj9N5779Evv/yi2VakSBFFBk6MR494FIklH0dS3w9sXJLmdK5Ia/rUoMMjG2JlHQAAZBqCJ9DYv38/3blzh+bMmSO96ixBcz8vWtjVX0aVtPH9RV39aXDjUtSmYkGq6YPilwAAYBiYtgONkSNHkr29vfSq43YrloIDqCa+npoK45wLxVN6yGsCAABjsFOpVPqUybH6Kto5c+akFy9eSL6PtTp06BAtXbqUli1bJkETAACAJYs20es3Rp5suH5Ty5YtKSYmhqpUqUIDBw409yEBAABYBARPNoqTwDm3ae/evdSjRw9zHw4AAIDFwLSdDU3bcUJ4oUKFqESJEnJfPWPLZQkAAAAsXbSJXr+R6GIjfv31V2rUqJE09o2Li9METQicAAAAdIPgyUY0bNhQqoVXrFjRYsoQAAAAKBFynqzY/fv3pcUK448XLlwgLy8vcx8WAACARcPIkxXikaXx48eTj48PnTp1SrMdgRMAAEDmIXiyQlyzKTQ0VHKbgoODzX04AAAAVgXTdlaEV8+pk8C5+OUnn3xC7dq1M/dhAQAAWBWMPFmBN2/eSGuVsWPHJqnjhMAJAADA8DDyZCX1m77//nsZceratSv5+vqa+5AAAACsFoInK9CkSRMaNWqUtFlB4AQAAGBcmLazQPHx8TRt2jSKjY3VbOP7H330kVmPCwAAwBZg5MkCde7cmTZt2kRXr16l5cuXm/twAAAAbApGnizQkCFDKE+ePPThhx+a+1AAAABsDkaeLADXawoPD6cyZcrI/bp169KtW7fI1dXV3IcGAABgczDypHD37t2jWrVqSVPfJ0+eaLYjcAIAADAPBE8Kx818X716JaNPN27cMPfhAAAA2DxM2ylQQkICOTo6akaYODk8e/bsVKhQIXMfGgAAgM3DyJPC8Ao6rte0fv16zTbOdULgBAAAoAwInhRm1apVdO7cORozZoyMQAEAAICyYNpOYSZMmCDFL4cPH66ZugMAAADlwMiTmYWGhtJXX31FKpVK7mfJkoVmzpxJBQoUMPehAQAAQCowtGFGL168oICAAHr+/DmVKFGC+vbta87DAQAAgAzAyJMZ5cyZkyZOnCiNfdu0aWPOQwEAAIAMslOp54tAIzo6WgIbHhnKkSOHQc/M+fPnyd3dXbN6jk8/3+ztEccCAAAo9fVbG16xTYjrNVWvXp0+/vhjzUo6Ozs7BE4AAAAWBMGTCZUrV04SwrngJa+oAwAAAMuDhHEji4mJITc3N/mck8JPnDhBpUuXxmgTAACAhcLIk5FwHtOCBQuoaNGidOnSJc32smXLInACAACwYAiejBg8bdmyhZ49e0ZLly411rcBAAAAE8O0nZHw6rmVK1fShg0bqH///sb6NgAAAGBiKFVgoKWOPNI0d+5cio+PpxEjRhj6OgEAAIBCShVg5MlAdu3aRUOGDCEHBwd6//33yc/Pz1C7BgAAAAVB8GQgXCX8s88+o4oVK9J7771nqN0CAACAwiB40lNiYqLkNHXp0oWcnZ2l2CUSwwEAAKwfVtvpiUeZevbsifwmAAAAG4PgSU8dO3akrFmzYooOAADAxmDaTodpuoiICCpYsKDcb9GiBYWHh1P+/PmNeX0AAABAYTDylAGRkZGygq5u3bqy/FENgRMAAIDtMXvwxC1MvL29ycXFhSpXrkyHDh1K9/nz58+XFic8ZcY94jhpO7nZs2fLY/ycwoULU2BgIL1+/VrvY+TyA9euXZORp9OnT+u9HwAAALB8Zp22W7t2rdRG4gAqICCAFi9eLCM8oaGhVKRIkRTPX7hwIY0ePZqWLFlCVatWpZMnT1KfPn0od+7c1KpVK3nOb7/9RqNGjaJly5ZRrVq1JOjp0aOHPDZr1iy9jpP3v379egnwUIYAAADAtpm1wnj16tXJ399fgiI1HlVq27YtTZs2LcXzORjiIGv69OmabRx88WjQ4cOH5f7AgQPp8uXLtGfPHs1zhg0bJoHWu0a1klco5dYq7dq1y+RPCQAAAKZg9RXGuY3JP//8I6NE2po2bUpHjx5N9Wvi4uJk9EcbT81xYPTmzRvKkiUL1a5dm1atWiXbqlWrRmFhYRQcHEzdu3dP81h4v3xTU+c1DR48mOrVqyf7BQAAAGXj4IkZfVxIZSb379/nn0x15MiRJNunTp2qKlWqVKpfM3r0aJWnp6fq9OnTqsTERNWpU6dU+fLlk/08ePBA87y5c+eqsmTJonJ0dJTH+vfvn+6xBAUFyfNwwznA/wH8H8D/AfwfwP8By/8/cPPmTZUxmb1UAVfm1sbRYvJtauPHj6eHDx9SjRo15Hm82o3zmb7//ntJ6mb79++nqVOnSh4VTwveuHFDRpC8vLzk61PDeVRDhw7V3H/+/DkVLVqU7ty5I8N/YN53EZz0f/fuXaMOwQKuh6XB74Zy4FooB88ccc60u7u7Ub+P2YKnPHnySMDDwZC2x48fp1kCgKfoOBGcE8sfPXokAdFPP/1Ebm5usj/GAVK3bt2od+/ecr9cuXIUGxtLffv2pbFjx5K9fcoFhtxehW/JceCEF2xl4OuAa6EcuB7KgWuhHLgWypHaa71B909m4uTkJKUJdu3alWQ73+fE8PRwDlKhQoUk+Pr999/pgw8+0JyoV69epThp/DweqTJjbjwAAABYCbNO2/FUGY8SValShWrWrCmjSDxV1q9fP8102v379zW1nLjsACeC83Tcs2fPaObMmXTx4kVasWKFZp9csoC3V6pUSTNtx6NRrVu31kztAQAAAFhk8NSpUyd6+vQpTZ48WQpQ+vn5yco4zjdivI2DKbW3b9/SjBkz6OrVqzL61KBBA1mZV6xYMc1zxo0bJzlT/JEDr7x580pAxXlQGcVTeEFBQalO5YFp4VooC66HcuBaKAeuhe1dC7PWeQIAAACwNGZvzwIAAABgSRA8AQAAAOgAwRMAAACADhA8AQAAAOjAZoInrjju7e0tvfG4vtS7mgTPnz9fmhRzYc7SpUtryiVomz17tjzGz+Eq2IGBgfT69Wsj/hSW7+DBg7L6sUCBArIqcvPmze/8mgMHDsg142tXvHhxWrRoUYrncBNnX19fWWHBHzdt2mSkn8B6GONaLFmyhOrUqUO5c+eWW+PGjaW8CJj+Wmjjeni8X266Dua5Fty54osvvpDizvw8fn3h1eVg+mthkNdulQ34/fffpdfdkiVLVKGhoarBgwerXF1dVbdv3071+QsWLFC5ubnJ13F/nDVr1qiyZ8+u2rp1q+Y5q1atUjk7O6t+++03VXh4uOrvv/9WeXl5qYYMGWLCn8zyBAcHq8aOHavasGGD9B/atGlTus8PCwtTZcuWTa4ZXzu+hnwt169fr3nO0aNHVQ4ODqpvvvlGdfnyZfnIfQ2PHz9ugp/IchnjWnz88ceq+fPnq86ePSvXomfPnqqcOXOq7t27Z4KfyHIZ41qo3bp1S1WwYEFVnTp1VG3atDHiT2EdjHEt4uLiVFWqVFG1aNFCdfjwYbkmhw4dUoWEhJjgJ7JcwUa4FoZ67baJ4KlatWqqfv36JdlWpkwZ1ahRo1J9fs2aNVXDhw9Pso0vRkBAgOb+F198oWrYsGGS5wwdOlRVu3Ztgx67NcvIL8NXX30l10rb559/rqpRo4bmfseOHVXNmzdP8pxmzZqpOnfubOAjtl6GuhbJJSQkyBuRFStWGOxYrZ0hrwWff/679fPPP6u6d++O4MlM12LhwoWq4sWLq+Lj43U9BDDwtTDUa7fVT9vFx8fTP//8Q02bNk2yne9zgc3UxMXFyZCfNh7e4+mHN2/eyP3atWvLftVTEmFhYTIE27JlS6P9LLbo2LFjKa5ds2bN6PTp05prkdZz0rq+YLxrkRy3S+LHjN2k09Zk9FpwAWIuFNyrVy8zHKVtyMi12Lp1q3TR4Gk77t3KBaG/+eYbKfwMpr0WhnrtNmuFcVOIjIyU/6DJmw3z/eRNibVP9s8//yz5Af7+/nKiuSExn3zeH89Zd+7cmZ48eSIXgoPihIQE6t+/P40aNcpEP5lt4GuU2rXj862+Fmk9J63rC8a7Fsnx70PBggUl9wlMey2OHDlCS5cupZCQEJx6M18LfoHeu3cvffLJJ/JCff36dQmk+DkTJkzA9THhtTDUa7fVB09qnGymjU9a8m1q3AuPL0KNGjXkeXzye/ToQd9//72mP97+/ful5Qsnoqt76A0ePFguDn89GPfaJd+uy/UF414LNf59WbNmjfyuJB/JBeNei5iYGOratask8OfJkwen28y/F4mJiZQvXz7p38qvIZzQ/ODBA5o+fTqCJxNfC0O9dlt98MR/OPg/a/JRiMePH6eIULWn6HikafHixfTo0SM5qfyf3s3NTfOHiE8yNzXu3bu33C9XrhzFxsZS3759aezYsWRvb/Uzoibh6emZ6rVzdHQkDw+PdJ+T1vUF410LtR9++EGmJXbv3k3ly5fHKTfxtbh06RLdunVLViqp8Qs44+dwf1AfHx9cFxNcC8avIdyPVbs5Pa+246/j1BInJydcCxNdC0O9dlv9Kzz/p+Qof9euXUm28/1atWql+7X8n71QoULyH56X+n7wwQeaE8u5HMlPMj/vf0n4RvhJbBPnCSS/djt37qQqVarI9UnvOe+6vmD4a8H43fSUKVNox44d8hiY/lqUKVOGLly4IFN26lvr1q2lmTp/zsuzwTTXggUEBMgIhzqAZdeuXZOgCoGTaa+FwV67VTZUqmDp0qWyfJGXJHKpAl4uynjVXbdu3TTPv3r1qurXX39VXbt2TXXixAlVp06dVO7u7rKsUS0oKEhWEXEZA14euXPnTpWPj4+s/IK0xcTEyDJ2vvF/v5kzZ8rn6rIRya+FeulpYGCgXDu+hsmXnh45ckRKFXz77beyPJ4/olSBea7Fd999p3JycpJtERERmht/LzDttUgOq+3Mdy3u3Lkj5W4GDhwory9//vmnKl++fKqvv/4avxYmvhaGeu22ieCJce2ZokWLyh92f39/1YEDB5L8UalXr57mPp/0ihUrqrJmzarKkSOHLO+9cuVKkv29efNGNXHiRDnpLi4uqsKFC6sGDBigevbsmUl/Lkuzb98++SVIfuNrkNq1YPv371dVqlRJrl2xYsVk2W9yf/zxh6p06dLyi8JLVbkuCJj+WvDvWGr75D9YYPrfC20Insx7LbgeXfXq1aXGEJctmDp1qpSSANNeC0O9dtvxP4YZMAMAAACwflaf8wQAAABgSAieAAAAAHSA4AkAAABABwieAAAAAHSA4AkAAABABwieAAAAAHSA4AkAAABABwieAAAAAHSA4AkAjKZHjx7Utm1bxe3LmIoVK0azZ882yffiBqfcgNmU33v48OE0aNAgo34PAKVD8ARgYTiIsLOzS3HjxqPGUr9+fRoyZIjB97t//37N8XOzzpw5c1KlSpXoq6++ooiIiCTPnTNnDi1fvpyU7tSpU9Kh3djOnz9Pf/31F3355ZdkSnxtfvnlFwoPDzfp9wVQEgRPABaoefPmElxo37y9vVM8Lz4+nizB1atX6cGDBxJ4jBw5knbv3k1+fn504cIFzXM4sMqVKxcpXd68eSlbtmxG/z7z5s2jDh06kJubG5lSvnz5qGnTprRo0SKTfl8AJUHwBGCBnJ2dydPTM8nNwcFBRogGDhxIQ4cOpTx58lCTJk3k+TNnzqRy5cqRq6srFS5cmAYMGEAvX75Mss8jR45QvXr15IU/d+7c1KxZM3r27JmMdB04cEBGftSjRLdu3aK3b99Sr169JGjLmjUrlS5dWp6j7wsy/wylSpWizp07y7FwENK/f/80p+34Z+VRFx4R4+PNnz8//fTTTxQbG0s9e/aUoMLHx4e2b9+e5HuFhoZSixYtKHv27PI1PPUVGRmZZL88LcUjLO7u7nJcEydOTLIPvl+kSBG5DgUKFEgyjZV86uzOnTvUpk0b+X45cuSgjh070qNHj5Lsq2LFivTrr7/K13KQyOcgJiYmzfOVmJhIf/zxB7Vu3TrFY69evaLPPvtMfn4+Rj4n2u7fv0+dOnWSc+bh4SHHxteTXblyRa7/6tWrNc/fuHEjubi4JAlk+fuuWbMmzeMDsHYIngCszIoVK8jR0VECkMWLF8s2nhKbO3cuXbx4UR7fu3evBAdqISEh1KhRI3rvvffo2LFjdPjwYWrVqpUESBwQ1axZk/r06aMZ5eIAjF/ACxUqROvWrZOAZMKECTRmzBi5n1kcjPXr109+hsePH6f7s3KQePLkSQmkONji0ZhatWrRmTNnJADk4IgDCsbHzgEiByunT5+mHTt2SCDDAU3y/XKgeeLECfr+++9p8uTJtGvXLnls/fr1NGvWLDm3169fp82bN0tgmhruu84BX1RUlASgvI+bN29K8KKNt/F+/vzzT7nxc7/99tt0p+yeP39OVapUSfHYjBkzZPvZs2clSOZzwkER4/PQoEEDCeQOHjwo15k/55FMHqUsU6YM/fDDD/J1t2/fltFAvu58LNo/Y7Vq1eju3bvyHACbpAIAi9K9e3eVg4ODytXVVXNr3769PFavXj1VxYoV37mPdevWqTw8PDT3u3TpogoICEjz+bzfwYMHv3O/AwYMUH300UdJjrVNmzZpPn/fvn0q/jP07NmzFI9t375dHjtx4kSq++Jjql27tuZ+QkKCnItu3bpptkVERMg+jh07JvfHjx+vatq0aZLvc/fuXXnO1atXU90vq1q1qmrkyJHy+YwZM1SlSpVSxcfHp/ozFS1aVDVr1iz5fOfOnXKt7ty5o3n80qVL8v1Onjwp94OCglTZsmVTRUdHa54zYsQIVfXq1dM8b5s2bZL9JiYmpvjeXbt21dznx/Ply6dauHCh3F+6dKmqdOnSSb4uLi5OlTVrVtXff/+t2dayZUtVnTp1VI0aNVI1adIkxfd58eKF/Az79+9P8xgBrJmjuYM3ANAdjx4sXLhQc59HSdRSG43Yt2+frMriEaLo6GhKSEig169fyxQXfy2PPPGIja447+Xnn3+WEYh///1XRi94VMcQeNSG8TRhWsqXL6/5nKcteRpKe4SEp+WYevTqn3/+kXPBoy3J8egPTxsm3y/z8vLS7IPPE0/LFS9eXEZseAqQR+l4tC+5y5cvyygd39R8fX0ld4sfq1q1qmzj6Trt3CXt75caPtc8ZZjaudE+dn6cpx21f35eWJA8T4r/L/DPr7Zs2TI5FzxiyaOVyb8Pjwwy9YgegK1B8ARggTjgKVGiRJqPaePAhl/geRpsypQpksfD0zWcr/TmzZskL4a64Om5wMBAmSbiaT1+QZ4+fbpMdRkCBxfqwCItWbJkSXKfX+S1t6lf9HmKUf2RA53vvvsuxb44YElvv+p9cCDECe48BceJ7TzFxT83T7Ul/zoOAFMLcJJvT+/7pYanKjlw4WDVycnpnedE++evXLky/fbbbyn2yTlmaufOnZPAmoOnhw8fSl6XNp6GTP41ALYEwROAlePcHh5p4iCHXwxZ8rwkHq3Ys2cPTZo0KdV98As05z9pO3TokOQWcfCgpj16kRk8ssKJznXr1jXoC7S/vz9t2LBBArLURooyioNNTprm2xdffCG5QpxQzfvXxqNMnDDO+UHq0Sce/Xvx4gWVLVtW7++vHt3jfeky0sfHt3btWknQ5+T11HBgxMn5Y8eOlcDpk08+kfwx7QCbR6M4SOMcOQBbhIRxACvHK844ePrxxx8pLCxMVnUlX2Y+evRoKRPAgRAnI3OCMU8LqlehcbDBI0q8Kou38QgGj3xxYPb333/TtWvXaPz48bIPffC0Er9QcwL277//TgEBAfJ9tKcmDYEDHQ4OunTpIknmfD527twpq9OSB4dp4VpTS5culQBCfT45sChatGiK5zZu3FgCU3UAwt/z008/laT11KZXM4oDSg6EeARRF3wcPGrFK+w4+OVaTTxiNnjwYLp37548h0coOdAbN26crNLkUTIujKmNv7ZOnTp6jVgCWAMETwBWjkcm+EWQp6q4dhJP2UybNi3Jczi/hYMInq7hlVQ8DbdlyxbN6Ay/eHJOEY+k8As3j6bwi2y7du1k5Vj16tXp6dOnSUahdMFlDnhqiKeUeGUXBx0cnPD3MyT+HryCjwMlXonH54MDBy4PoB6VexfOV1qyZIkEeOoRu23btkm+VXI8Zcar6LgsAI+i8c/FuVI8+pNZXIgztem39HAZAl5lxyUM+Nrx6BcHjjzSxyNRK1eupODgYAkI+drz8/l7cF4bb1fjMgW8Cg/AVtlx1ri5DwIAAHTDSd4cdPJIHQe7psJVzUeMGCEjlJmZ+gSwZBh5AgCwQFy4kkeKtAt8mgInknN7FgROYMsw8gQAAACgA4w8AQAAAOgAwRMAAACADhA8AQAAAOgAwRMAAACADhA8AQAAAOgAwRMAAACADhA8AQAAAOgAwRMAAACADhA8AQAAAFDG/R+6nqj8U2afcQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(\n", " shape.fractal_dimension(counties, support=\"hex\"),\n", " shape.fractal_dimension(counties, support=\"square\"),\n", ")\n", "plt.plot((0, 2), (0, 2), color=\"k\", linestyle=\":\")\n", "plt.xlim(0.98, 1.08)\n", "plt.ylim(0.98, 1.08)\n", "plt.xlabel(\"Fractal Dimension (hex)\")\n", "plt.ylabel(\"Fractal Dimension (square)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Inertial Measures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The moment of inertia is a concept from physics and engineering that measures dispersion of mass around an axis of rotation. This has been adapted to measures of shape in geography. If the shape is treated as of homogeneous density, this is equivalent to the *second moment of area*. If we have information about the distribution of a quantity of interest, such as population, we can obtain a shape measure that quantifies how dispersed the population is from a reference point, usually the centroid or center of population. The interested reader is referred to:\n", "\n", "* Li, Wenwen, Michael F. Goodchild, and Richard Church. 2013. “An Efficient Measure of Compactness for Two-Dimensional Shapes and Its Application in Regionalization Problems.” International Journal of Geographical Information Science 27 (6): 1227–50. https://doi.org/10.1080/13658816.2012.752093.\n", "* Fan, Chao, Wenwen Li, Levi J. Wolf, and Soe W. Myint. 2015. “A Spatiotemporal Compactness Pattern Analysis of Congressional Districts to Assess Partisan Gerrymandering: A Case Study with California and North Carolina.” Annals of the Association of American Geographers 105 (4): 736–53. https://doi.org/10.1080/00045608.2015.1039109.\n", "\n", "We begin with the *normalized moment of inertia* or *normalized second moment of area*. The moment of inertia is calculated for the shape, and normalized by the moment of inertia of a circle of the same area. As with some of the other shape measures we have seen, it can vary between zero and one, and equals $1$ for a perfect circle. The moment of inertia is insensitive to wiggliness of the shape's perimeter (Li, et al. 2013).\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties.plot(shape.moment_of_inertia(counties, normalize=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `moment_of_inertia` function calculates the moment of inertia about the centroid of each polygon. However, the user can also pass in a reference point or an array-like of reference points of the same length as the geodataframe. In the first case, it calculates the moment of inertia of each shape with resepct to a single reference point. For example, we can calculate the moment of inertia of each county with respect to the centroid of Virginia." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Virginia Centroid')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "va = counties.dissolve()\n", "va_centroid = va.centroid\n", "\n", "ax = va.plot()\n", "va_centroid.plot(ax=ax, color=\"red\")\n", "plt.title(\"Virginia Centroid\")" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Virginia Counties MOI about Virginia Centroid')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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IC5KRkcEeDvQgJHEfmqUHUnTHH7MscodSwhh5RlzNZIVAD0dKCJsvWEXHLNA3PN3M8wdc8lK5S6AjrrzySjYYU1IYGZOOIG8LDZDkSl2/fj17gNrP3GjwpUGQHooUWiFsAk90vdhD14q3CJlx2rj88svZcaGZJwm5zX/RPjs6luQhpGS98PBwj8XeSFSPXmSUOEtOJShJlwydH/3oR2xAmg8ln9KsnSYAnkL7QCEH+4GAHtiUiOgIco3bD8Z0zZAhk5mZOTPI0cBHLnab8WGDEmLpnrHtq7NzbvNk+Or1ImOHvICUxEiTIfJcCQ3ROIKuZ7oWyDCwhX5sYU96lgUS2/mxv2/peqUJkhBuu+02tvx3vvOdOdtug46N7V6jCQd5JChh1tG9QK9A3os26Doi6Flhz2uvvcbuA9vfHUEhOnq+zr+WSDyPs4Q8I66gC5iyy8kCt7ll6WFJ2dTkJqW8kMbGRhZPpFg1PaDogUYPXAqH2OKEpxp0A1IclCon6KYWGqJxBlXh0CBGM+M777yT5SKQYUIDOUEehUBAaqlUtUFGFc2AaECgsAPlCNCAKmSW9frrr7PqjY0bN+L73/8+u/HpQU3nlGZT9FCjwZEgo4Vm9rQMXQc08FF1BBkydJ3YHrKkJBoZGcmOK3kZ6GFIHoe2tjav95U8BQR5csiTRYMTGb+OQjyUM/Hd736XGdKUF0DHiPaJZvh79uxhxgjtKw06tP2UN0AGNV0LZGyRB5D20xNoe4QopNJAT9UMpPZLs0GqKCCPIhkFNOun64aOrTeVAmSE0fZThRfdf3S877jjDuYyt00e7KFrhvKfqBKCjg8dCwqz2hvR5HWj40Tn/Le//S07r+QlpWoIqj6hUBdB+0L7QdtOM2DyPNC1Rcd7PnT8aTvJg0RVIXR/CBkU6Xoir9J9993HqmGoyscX6NqkiiwasCnUbJugkLclkJMpurbo3iEP7c9//nMWAqFjYbvP3EH3Ki1P55mOH13LFGIkI4RyUegeofuFcj/omUD7efvtt7NnNU0k6dzQ9UbeBjrvf/jDHzzafrr/yMtCRi4ZEXRN2J4/rvaZjjPlZ5FqLt2jZLjS9bVy5UqWd+YM8oDR85X+J6Voyu2jSaTt+cpxgfU0hTb99ddfX5AZTlUD9i/KzrZlYdsymmtqamY+RzXm87UXTjWo0oS2saCgwOHfXemMOMtav+qqq1gdPOkNUI29TbDJPgvclc7IfOZnlTuqTGhvb2ffRZoS9L1UIVNeXr4g+98VVBFBGgyk5UDbTxoAKSkp1q9+9avWvXv3OtQZoeuAqjGoMsSRUBxprJAYGC2XmJjI9puUSp3pjLjbd4I0IEgLgioO3OmMEE888QQTxbJtK1VU3HDDDayKhqDr8ytf+Qp7n/5O+jCkNzNfQ8NdNY0zXFUdkMIkrYOqkOh4U/UQnbt33313wbKeVNP85S9/YToONoXXRx991OE1Z9MZeeihh9j+0zZQJc1zzz3nUGfkiiuuYMeH9DhIZ8RRBQNVo5F+BelAkH4GVXDQ/sy/Zqla5Oqrr2YaFFQl48kjk6qCHFVluKum+etf/+pweXre2XRG6Jqn40dVO3Q/CammmX9OHAlxObo+6Z6xaeDQ/UFaKVSN54mw3/Hjx9m6abtp++l6pONDlSykIG0PVYydc8457NzQtUHbQ+fgo48+cntNO7p+6HP0XbQuRzojdO3Ph6rkqFKMvpuuN9Jm+f73vy9IZ8T2nLN/vtp0fHg1jXNE9A9OQ2hmS7MZm+4EuWxpBkcaA/P1N2j2QDFtsmzJQ2Kf8EfuO3LhkkvV0xnmUoKOC7nbKWHNXWyXw+GcfOg5RgnNlARs0+HhcE5XlkyYhtxn5LrUarUs+9sR5G4jtyyFdMgFTdhK0xYzYepkY6tGIvcxPdAoREVCSxS64YYIh3NqQqEfmjBRKIvya6jEm5LyqcqFwzndOa2MEUrYIl0BG1QyRlndFAekhETyjFCs7t5772XGCWXH00BLcV/KDSBlPOoUSclklINBCY033XQTu8FtCY1nAuQJorgmlWVSRQGVcFJ81JtERA6HszhQYiTluVCVB5W70rOM8hHoucbhnO6cVmEaEr2h5DRHSZmUdEizfErKpORUqk6ghEFKoKKkJ1tVAmXaU3UAuTUpIYpKhcl4IYOGw+FwOBzO4nNaGSMcDofD4XCWHktKZ4TD4XA4HM7px2mRM0K5HRReoZpxb3pgcDgcDofDWXwo+EL5TqT/5UrH6rQwRsgQ8bT3BYfD4XA4nFMDEjZ0Va15Whgj5BGx7QwpeXI4HA6Hwzn1IRVbcibYxvHT2hixhWbIEOHGCIfD4XA4pxfuUix4AiuHw+FwOJyTCjdGOBwOh8PhnFS4McLhcDgcDuekwo0RDofD4XA4JxVujHA4HA6HwzmpcGOEw+FwOBzOSYUbIxwOh8PhcE4q3BjhcDicReSVd0vQN2Dgx5zDsYMbIxwOh7OIfPRZFa7/8RN49d0SWCyT/NhzONwY4XA4nMVlYsKCkVET7n/8E3znF8+htWOAnwLOGQ/3jHA4HM4iYjJbZn6ubezB/9z2PEqrOvg54JzRcGOEw+FwFtkzYo/eMI5bfv8ydu2v5eeBc8bCjREOh8NZJMaNExgaHlvwvmnCgl//9S089cp+WK1Wfj44ZxzcGOFwOJxF4uW3j8IwYnT698de2Ivf3fsOM1o4nDMJboxwOBzOInHN5auweV2Wy2U+2VeDH9z+Inr69Py8cM4YuDHC4XA4i0SIXAaVItjtcpTY+p2fP4vyms5F2S4O52TDjREOh8NZJPaXNOK9nRWClh0YHMWPfvMS3t9Z7vftaO0dRElDBw7WtKJPP+L39XM4nhLk8Sc4HA6H4zFUNXP3Qzs8+syE2YI//XM7Glr68P2vbYFE4vv8sbG7H1+593mMm8zsd4lYhC2FGfjChiJsyk9DkB++g8PxFG6McDgcziLwzyd3ei0D/+JbR9Dc3o/f/+/lUAoI8zhjzDSBnz317owhQlgmrdhZ1sBesiAJQmRS9rr/21cgPznW6+/icDyBm8AcDocTYPYcqsf7AsMzzjhQ0oTv/fI5tHXqvF7Hh8drUd/V71KQbWh0HN2Dw7jtme3MeOFwFgNujHA4HE4A0Q+P4a8Pf+iXdbV0DODHv34Rx/bVe/X52o4+wcs29Qzguw++hkN1bV59F4fjCdwY4XA4nAASHCxFXIzab+tLDQ7Gb779ON5/6aDHn61q13q0fGlzF77zwKv41j9fQbdu2OPv43CEwo0RDofDCTADQ6P+WZHViqG6PljMk/jHb/6LR//yjuDOvyUN7ThS3+7V19Lnvn7/S2ju4U39OIGBGyMcDocTQF59twRdPUN+WVdeTAS6W2dzPv77xGe484fPYMyFqithmZzE3f/d7dN3Ux7Jy3tLfVoHh+MMboxwOBxOAPl4T7VnH7BakRQqY//PJ3RoodFx4ONK3Hrdw+jtHnS6yjcPVqLawxCNI4pS4nxeB4fjCG6McDgcTgBZXpDk0fIrFcHof2EvEg7XY7VMMvN+jDIE9cccJ5M2VnXilqsfQG2Z4zDMs7tK4CtBYjHOLkjzeT0cjiO4McLhcDgB5DvXnY2oSKWgZWViEbo+KmM/67oGIRqfLa1NlwW77Og7oB3Gz69/GHs/mKvYOjJuQmOP83JeoVxz9jKoQ+U+r4fDcQQ3RjgcDieAlFZ1sPJeISiCJBjun61aGVKFsP+DJWK0OPGK2GMcn8CdP3oGL/9754zhQhU0LmwYt4Qr5PjHd67EL794jvcr4XDcwBVYORwOJ0DUNPTgV3e/AdOERdDyOpMZyV8+C+r6HoTEqHFkOjG1MCocdSd6BH/vk/duR3tTL370x6tQ3tINX8iM02BrUYZP6+Bw3MGNEQ6HwwkQz7x2QLAhYqNt1ATEh0Mimn1PMuq5EuqH/z0Kw5gJnyi8k6C3oR91XanD4fgDboxwOByOH5mctKK2qQclZW3YfbDOu5WIRLA3YQy9nhsUYZEK7JcOQzcyDl/o1RuY4FlchMqn9XA4ruDGCIfD4fiRp189gMde3DvnPZlUApVchv7hMaREh6G1V7juiFoug7ZOeIjGRtzqRFRN6OErgyPjuOyOJ/Dls5fjZ1/YCpHIzmXD4fgJnsDK4XA4fqK8phNPvrxvwfsFSdEYaR5CImTorelFUpRAeXirFdmQwmSc7bIrFL3Cf493s2USz+0+hncOV/ltnRyOPT5drXfddRezkm+55Rany3zjG99gy8x/FRYW+vLVHA6Hc0pBFTO/u/dtWCZnS1cUchlWJcWi+kgr+72/34CExAi0C/SMrIjToPZIs0fbIQkSI2drFipN/u8lc+fLH+Olz06wUBRV60xYLBg1mqAfHXdZdszhBCxMc/jwYTzyyCNYtmyZy+X+/ve/4y9/+cvM72azGcuXL8c111zj7VdzOBzOKQX1h/nnYzvR0zfXAMiNikDlibkluapYFdA84nad4SHB6D7U4vG2JFyWg12mQSAAtsH4hBl/fvUT3PP6LiYxb29/bM5MxRfXFuKcjbn+/2LOkscrz4jBYMD111+PRx99FBERES6XDQsLQ1xc3MzryJEj0Ol0uPHGG51+xmg0Qq/Xz3lxOBzOqQh5Ce675z3sfusEVsRHIy0mfMYrUl/dtWB5Ska1r5RxRqo6FCPDwpNPg6QS5FyYi4NkiAQYCtvYGyLq4GC0lWvx63vfxu3/9yb6de6NLQ7HZ2PkpptuwmWXXYbzzz/f488+/vjj7HOpqakuwz9kxNheycnJ3mwmh8PhBJyBAQOOHG5kRkl1eQe6q7Qo1EQgNzrCYa5He+sA4kXBELlyXVitMLcMomBFChRK96qnkbFqjF6SiF0S/zTk8wTaj0yREn0DUxU/uw7U4fr/fdL7SiLOGYnHYZoXX3wRJSUlLEzjKV1dXXj//ffx/PPPu1zutttuw09+8pOZ38kzwg0SDodzKhIVpUJmdizLB7HRUOu6+mV01ISUeDXkYhFCJBJIJwGxeRKW8QmYDEYYdKNo7dCxZdURoShaPTV5s0xMQjdgQHf71N8IqTwIlk1x6Bs7OR7kjdGJKD0+NxQ1bBjHs28cwtb12SdlmzhL3Bhpa2vDzTffjB07dkAu97xHwVNPPYXw8HB8/vOfd7lccHAwe3E4HM6pzo7tpTh0oMGjz6REKdGwU5jnQK8bRfnBxpnfVeGhSEjVoLOlnxkikRfloLl7EKtTYiAOlaBhSIeBUd+0RYSyPDpmgSFio6Gll+XSSCS8aJPjZ2Pk6NGj0Gq1WL169cx7FosFn376KR544AGW6yGRzHaZtIcyrZ944gl87Wtfg0wm8+RrORwO55SksUGLv9+33ePPGT1UZbVneHCUhYRSc2IxXqBBTXsfe7+qflb2PT8xEuGaUGiNY2joH2Aiav4mSa1CZ/XUdzvCaDKjvXsQqYmRfv9uzhlujJx33nkoK5vqKGmDElHz8vLwi1/8wqkhQuzevRv19fX41re+5f3WcjgczklGq9Xjjt+9jmuuXY8nH9sFoxcaIGHBUnSIRF6Xw47oxxBdlIOaVq3Dv7d0DLAXkagORVJSBMbFFtT09WPc4r0hZCMkKAghA1YM2nUVdsRf/vUBCnPikZIQyYwSeoWrQ33+fs7SQ2T1sTh827ZtWLFiBe6///6ZfI+Ojg48/fTTc5Yjj0hdXR0OHDjg8XdQzgglsg4NDUGtFigWxOFwOAHg0X/vxEvP7/dpHVKJGBlKORrL2736fPo52Tg25rlEvDRIgoyUKEiVUjTrh6Ad8aLqxWrFWnUsqhxUCgnhq19Yh+9fv8Wrz3JOP4SO336Xg6ck1dbWKYEfG7QRr732GtMc4XA4nNOVivJ2vP6q58n785mwTCIowjsPgSpWjQax2bvvNVtQ0zibXJsTF47IaCWGx8bRNjoM/YT7hnwb4hJRXuI4T0QIz71xCBtXpmNFAa+S5PjRM7IYcM8Ih8M5Gbz1xlGctSkHUdEqtDT34ZYfPo1hD7Q/XLEsIQJVBz1LfM28ejnqB/UYMvgvQVUZLIW4fpgpY4eeHYuGEedVOQWaKLSXaTHpy7BhtWJbhApbNufjvOs2IUjKW6QtZU6aZ4TD4XCWAk2NWjzwjx1Qq0PQ2aHDi8/vZyW5/iA9MQJVHlbghESGoqRDO0dszB9kaSJQX0sGiBXKhnFI48WYsE4uWC4mVAFd45BPhgjV1ayemMSRZz9jr2fvfA3/99FvEJsa7eNecE53eM0Vh8PhzKO2pgs/+9/nMWmx4s93voknHtvtN0OErInJHs81QUYHRpEa61rx2huk47OGR1e7DmcFRS4QZJOKxYgaC2L6Id4iFwPLB0ZQtaN05j1tWz/2v3PU63Vylg7cGOFwOBw7jh9rwU9vfg6Dg6PsdzJI/El8jAqdTb2Cl4/OjUHWJQXIumYF/FmgGyQWoSguCm31c7elan8LshtFOEs57a2wWrFKHYPW9qnqHG9IDJEifFclgjHVYM+eD5/9DMYxPxl6nNMWboxwOBzONDRQPviPHRgL4OAYGypc0DFlQzoaIoNwRKfD0bYeNHXPKq/6yqrIKDQfbIPBQQ7M4MAIxpqmmv6ti0tARUWH8G0OkWFVsBRq6azUw5jFiriCJPT3DGL11RsgthNCqz/WjDu/8ndMmLxLyuUsDbgxwuFwONPUVHehqVG418JTitKjUbFHmPJqXEok5OZJhAcHQCTSakVHg3PBMoIk5zdExaH2RKfb1SWGyFDUNoDUo03QvXwA1S/uQ4SdMTJgMuN4lBp1+Un41GhC2tXrIQmSIEQZzAzAQ9uPo66kyS+7xjk94cYIh8NZ8pQcbsRz/9njVmRs+3snArYNlLTasL9e0LLhGiXGR8ZRe7gJiuPdKAoP8+u2RKsUGJoOQzmDpNyNlTpkxIQjNFjqclmVSIT+1l70tvbBYp4SVTO6ONRUQJy+LIW12YuIDUfRplwow7kY2pkMr6bhcDhLGm3PEP78+zfY4KvtHsKPf3oJJEEL52F9vcP4aEd5QLYhIUoJlXEC7QJl4BPTo1BxeKofzbBuFMPvV2LjObk4bByB2Q/lNL2GUawsTEBdhWuvR0frANAKxC+PR4PWeYioetQIydm5KJTLIG4bwHiqBo1OEn4zFHJ0v3EEpulQ2Kh+DEO9eoRHc0HLMxnuGeFwOEuWiQkL7vj1f2e8AO+9dQy//eXLGHMwUD7x2C6Mu5E394akGBXG6rpRfaQJxWvT3LaJiYoPR1VJ84L3q3bWIK/PvKDSxVv6ZRbBLWvCxe7nrZTnWzpmwvEoJapHjDA5MZrUVswYIjYmLZM4Yldlwznz4MYIh8NZkpAX5I5fv4bqyrnJl4f21+OnP3wGugHDnFLeHdvn9t3yB8mxahiqOmEYHGUhorL99UjJiEZ8SiTL23BETLyaDc6OaK/tRn7PBLLCVD5vW+uAHnkrhKmg6vtHkB0XiZUpsciN1/j0ve0WC7K+chZivnIWEr9yFgouWgZFWCiWbyvwab2c0xtujHA4nCXJi8/uw/49tQ7/VlfThR9/7ym0tfQzI+HhBz/y+/erQ2UYreliTe3saanpQlejFhGRoUjLiZvzt6SMaFSVtLhcb2djLzRW/zy6m02jCLJLNHUVrhG16BBc2QpLiw5ZGu9zWPqMEzgxMo4myokZGcfh4CCIvrAGmnj/a6hwTh+4McLhcJYko6NGl3/v7hzEzf/zFF558QBKT3jfa8UhVitSQqTQ65w3otP1DkMeEgR1RCgUKjmK1qahq6VXUCdfg9g/oRrKHcldmeR2uZxYBbo/PIq20haodQMIF7k3YDxC7E8FFc7pCDdGOBzOkswVOX7UtYeBGNaP4T+P7EZubrxfv78oLQo1R9yXqhpHTRjRj2Jy0oLyQ42wmB2HZ+YToh31W+5I5dAgQkOdlw+HyCTQHqiCecICXc8QrDEa1NdqoVGFICnSP0mnYm6MnPFwY4TD4Sw5Pv2kEv19U6Jd7jCZzKir7EBRYaL3X2jnzShIjUTrdCWMM0IUwSjakMnE1cgAGTO49uLMp/5oC9apw+EPhsdNSFuW4PTvWaogRCZEskZ6ckUwtIYJmIxmyLRGhAz7R6hMLOZD0ZkOL+3lcDhLCgpz/PflQx5+Bqg40YblK1NworQNgstMqAw3WgVToxaaxAiWf1Gzq9rtZzKLklB+2DeRL+vguN982yd6+xAdqWDKq/MZ6RrAUFQkQreGQ2QFdIapShhbhVJ6ajgi5XLoTROo6+736vulDkqtOWcW3BjhcDhLitrqLvbyhtJjrSgsTkJlTSccNK5dQIRKjonmXgz2DbOXUPSDznNJhFJ/uAnr16VDGyZFk362MsgbjGYL4nJjMbh/4XYNaiIwOQmMjC/0gpBBQq+e6d8L1ySjokO4gu3FWwpw7efWIMSNqBpn6cONEQ6Hs6Qg8TJfqCxrR1ZuHFo7BmB0MADbEycG6rWed+ANi1DAVyYnrag5MBUO2npeAUbHJiBRB+PAkHf9a0o6e5AeH4aerqE57w8MC+/T03SkDUU5sRCHB6O0tcelh2nDijT84vsXQiblwxCHJ7ByOJwlBiVa+kp9TTdiNSqow+ROl4mOCEX98daTto02CtZmoOJAE+qOtKDzmPCGdvMhR5Ay1fc8lMbaHtQfasWaVOdJwbkZsfjzz67khghnBh6o43A4S4JerR6HDzQITlx1B2mQBIsliI1xXDGSqBTefXc+lAzqMyIRijfmoPJE+4xxY54wY4NMBW8Lb0909iAlI8r3bSPF2EPNKEqMZj/Lg+d6P9YuS0UwD81w7OD+MQ6HsyR46P4d2LPbffKopyEflVqO1FQNWlpmkzMlYhHaytq9Xq+j3jieIA+VISUvEWVH58rGjxqMqN7fiJUX5OLIwIDnKxaJYNEEA66LgQQnBXeUd+P2X12Gwrx4XHfzk+x9iUSM/Ky5Ym8cDveMcDic05721n7s/dS/hoiNYf04utt1yLFTS81NinApaOaKUJUcjVXeJdgSmvhwRCREorbceUjGF020Gu0Asgudl/p6Qk5uHC49rwhm8yRkUgm+eMlKvPzAt7FtQ45f1s9ZOnDPCIfDOe159cUDzlq9+AXS1Wio7kJRcTJamrUYqPXOmCC59/BIBctJ8Yb0/ET09hnQT910XdD0aQOi18Wjd2zcpyZ6vh7Ty65cxf6PilTi1Ye+C40fEnc5SxPuGeFwOKc1A/0G7Hg/8B1fqXql4kQr0kKk6J9XcSKEUGUwRgdHUL6/DvFxakE9YewpWJeJ1pZ+GIbm9rpxRHCIFAPjngmpedtEzxkqdQg2b8tnP4epQrghwnEJN0Y4HE5AoAZxBz4qxySJVASQN149jAmT/6pTXKFWBqPWTSM7Z6RmxWCgZ8qIaarsQEZmNEQCZdCLN2aj8nibYLn46OQIWHx0a7RMzDbRiwgLxbLMGGgiQgV//sJLlkE2L3GVw3EGN0Y4HE5AeOPJT/GHbz+O7190Dz589RAmTP6RDrdnbNSEt18/isUiLUaFSYvnxhUZHQ2k7GpH7fEW5FFuhhujoWBdBsoE9Nmxp6O+FzKJb4937fBUE72UxAiIB0dQebAR4206LM+JE9TX7tIrV/r0/ZwzC26McDgcv0OhhNcf28V+bq3rwX23voBvbv0T/vvYLowavMtjcMT7bx+DYdh/63OHoWvQq88lpkXBZJxY8H7V4UYUrUp1apBkFiWjuqzT4+8zjU9gVZDC56SPcYsZfdVdGOqfStY1jk+gYl89cuPDWUWRM5atTEFKqn9KhDlnBtwY4XA4fmf/h2UYmWck9HUN4tE738QtV/7NL6Ebs9mCV186iMUiNkqJ1lrPE09V4aGQBjkfuCmHpGh12oL3E9Kj0dGu88oTQ1Tva8TGsEh4S3SIHAMH21jy7nzqStuRRx4TJ7t12eemElc5HKFwY4TD4fgdpTrE6d/aGrQ4urvG5+/Y9XElens8l2L3ljiV5yJnKVkxCBJZ0VThWhm1fF8tVm/KRtHGbETEqFnVzJjRgvFR4VLsjqjaWYu1kZ4bJFKxGLE9RgxPN8NzRA318SHvxzzvizosBGdvy/NqezlnLtwY4XA4fqer1XX31ree+tTnzrwvP7cfi8mog462rlAo5eis74ZOYO+aox+XwzJugm5wHE0NvdD1+db8zkb9R7UojPRA5t1qxWqpAu11WreLVh1pRnqEAsU5sQiWTSWrXnjpcsimf+ZwhMKNEQ6H41d2vHyQhWNccWR3Ndob3A92Tj9/qBFNPnzeG4whwYhOjBC8fESMyuMeNDWH6pGd5191UjLczDX9EEFY/shajYaFeITSVq9F1b4GSAdHsSwjBpdescKHreWcqXBjhMPh+JWa48IqP956+jOvv2OxvSJEa/cQukRiBOcmQBnuvsRV4UXvGsoPaT7ehPSsqZ4u/qKndQCrNBq3y2WFq9G0s96r76CQUrBUgmSeuMrxAm6McDgcvxLppLHcfD569TDTIvGUvdtLYdWNIEjih2ZzniISYWTUhDgBA663GhtUAt1V04HkVO+TTx0xVNbtsoFemEwK84kelhjsLZ+7fqPXn+Wc2XBjhMPh+JWIaGHGyNiIEffe+gLKDzWwUIIQetoHcP8vX0HF3jokSCVIFGj4OKM4JgRFcaEel8C2jk2gcGue07AN6Yro23oh9dIgGR8xQtfai7iEMPiLvq4hrHSRzBqvCMWgD3kqMYnhWMsTVzlewo0RDodzUjwjxP4dZfjZlx5gGiTP3b8d3W3OE18p/+KuHz8Lw7Q3pbOpD/2VHVieFeuVnkZ4qBQ1O0pQ/vp+pBoGoQ6VCv7s6NgETjT2sbBNzpaFlSN5BfFoKmtFTn48vMUwNApjvx7yEOHb5Q7J8EKtExtmHzVJLrt2A+vIy+F4A79yOByO33u4eEp3az+evf8D3Lj5Tvz8yw+wJFh7cbTezkH8+huPoOZ46wIDpeKzGuRolIgMc15O7IhEmGAamyqdbSlvhdzDXjEMkQiVTX3MS1K4NR/J2XGQBInRVT2ltuprIEnXq0dSiv/CNbp2HWTiqf2khNZE5WzjOpmIDweck4fIKtQ/ehLR6/UICwvD0NAQ1Grf3LIcDidwDGiH8KPL78OAwHJWVwSHyLDp4mIUrs3EE3e/u0BEbT4KlRxJy5JR0djrfuVWK8IbWzAyNIq8i1dhFBI09o743vnXasWa5DCUvHWY/Vq4tRBVJ+bKwHtKZGwYgsKU0Hb7R1MlvSgBQfEqWPtG0XC8HZkrkhAUIkWQlQTYhFfROBJ3e/Kjn7PzwOF4On7zYnAOh+MXyEvxpx/8xy+GCGEcM+GT14+ip2PQrSFC0DI1e+tQtCYdjQMGFkpxikiE5HU5GIQEZVrPk2idoVHLUfHRiZnfxX5wNlBzvZzECPijkJlCPk1lHUD5rM+m/tiUsVS0Nt2ndZNA2utPfYav/ugCn7eTc+bB/XIcDscvlB1qQOWRppMe9qk+0gSlwYjMZNfhjbJ+E9r6/WeIkFdEMzoKo51q6pCXvWwWrFoqMG/EakXRskRERasQlxiO5FTNVJjHakVBUQJEI6PIpeZ88wiPUqL6eAsio1U+bed/n9wDvc4zcTgOx2dj5K677oJIJMItt9zicjmj0Yjbb78dqampCA4ORmZmJp544gl+BjicJUTFIe9d/M4oWp+FxirPG8WRd6blUCOWZ0QjKGhx5lwFiWGoPzxXoyPEDyGL6MRI1FV2uV1OoZQxQ6R8TzX6GjrRXdWGtrJmtJe3ICE6FH1tvRgzjKOjqh3FyxIRqpgycPJWpLBGeAmpUcwo8QWqkHrl0d2ClqUMgfqyNjz3t+1480nfFHk5pz9eh2kOHz6MRx55BMuWLXO77Je+9CX09PTg8ccfR1ZWFrRaLcxm/7cT53A4i09zTRfGDEYc21vr1/VKpBJWamp0FW5xAysBTo+CWaNEZwD72CjkQeg8UL3g/dojjcg+Kxf1FZ4bVDaoPFgitcBintcwz2qFTC5FWnIYrJNWNFW2o7zTcTVSZ6N2TpVO2Z5qpK/NRn+PHtXTScH0s8JFTyEhhITKkFmw0PNiwzhuwom9dTj4UQUOflyB/u4h9n6oSo7zr17H803OYLwyRgwGA66//no8+uijuPPOO10uu337duzevRuNjY2InK5xT0tb2KFyvieFXvYJMBwO59Sjp20AP736HxgVkNPhCfJQGaISItEuJBnVDVQCHCSVYPmGTJyo62H5Iv4mI1iEir5hh7P/1mNNSMhOQGeL6349ziBDovjsPJSVzjbbC48MhTpYjJ7WftSW6DxeZ0yKBk013QtybhJSNezYi0UiVkLdN20sCGXrRYWwGCfQUtOFpKxYVupLOS8HP67EwY/KcXxPLYzjC41Lun62v7AfX/zuOR7vC+cMNkZuuukmXHbZZTj//PPdGiNvvfUW1qxZg3vuuQfPPPMMFAoFPve5z+GOO+5ASEiI0/DPH/7wB282jcPhLBIWswV33/yM3w0RgrrWVh2bW8brC1MlwLXILkzEwOQk+gd9zxUJChIhLUqJ0IkJlH84m7Q6n/FRI0Z7dAiLCMWQznkXXFdYJ2e9IlQ6bB0eQWuz9wJlmtRYaAcXVvk0VHbO5OhQQisZI1Qlo1TLMdA77NJLJZdLsf35/exlq4aKTggX3IPojcd348obtzDDkXPm4XEw9cUXX0RJSQkzGIRAHpE9e/agvLwcr7/+Ou6//368+uqrzKBxxm233cbKgGyvtjbfSuM4HI7/2fHKIVSVNJ8yWiVCaKrowESbDoWZ0V4JpdnIiFVCXt2CxveOuDREbAx0DyLIPIGCFclefZ9MJkGMWor4yGBEq6QY6vfeECne5rzc2P64lx9uQsGqVGbIkVeHUm/yih2HYMQSEdIyNAuqoTxphtjXNYjdb5UIXp5zBntGyCi4+eabsWPHDsjlwhKzJicnWZLrc889x2qNifvuuw9XX301HnzwQYfeEUpypReHwznzCItUoqnafcKmt5CYWs2eOqiVcqQVJqKifQAWD4yf3HgVmj86jgmjZ3lvvW39iE2L8Xh781al4djuasGS+a4o2JSLshLhHqfKkqmmhxpNKLQHyzHR2IK4ZTno7plrDBUWJ6Fsf53P2/fqvz/BuVetYWMG58zCI8/I0aNHWfLp6tWrERQUxF6UD/KPf/yD/WyxLGywFB8fj8TExBlDhMjPz2c3Vnt7u3/2gsPhLDoXX7sBGfnOkxW9gRIyVZFKmDwc6L01SioPNiAzIhQhAnvIJGpC0bC9xGNDxEb5Z1WCvSNpeQko2pCF+vI2vxgiWSvTUF05N09EKHLZVOhkVD+GoKGF5cr+8mM1V3ehZK/vRg1niRsj5513HsrKynD8+PGZF+WDUDIr/SyRLIz1bdq0CZ2dnSzp1UZtbS3EYjGSkpL8sxccDmfRKd1fJ0iMzBNSc+P9krTqCY3lHYgWAREC5ORjFDIUbilAbLrnHg4b5bsqUFCcgMIVySjekOlwmcJ1GRgeGkX5gXqYTd530bWRmBOP9k49Ji3zKnIEYjJbkXdWHjJWpGMyIhJpOXFz/j4xv9LHQ0LDQpG7IQv55xTgwXu3w2T0voKKcwYYIyqVCkVFRXNelJCq0WjYz7Z8jxtuuGHmM9dddx37+4033ojKykp8+umn+NnPfoZvfvObThNYORzOqQsZIPf+5Dn88tqHMNQ3zHQq/EWwXIaTAau46Te47AIcqQpGF5XPHqhn0uwZqzNZ2CMo2PNGduWfVcNsmUTZgQYUb8ia87fwaBXzEPT7STBNEx8Og8mKcR9KpPv6RlDfO4HWETE6u/TQduqQkRc/lUxL+iKWSaQXJM4sL5FJkLoiFXKFsHB7+pp0VDX0oqK8Ax2t/Xj+ca47cqbhdzWgrq4utLbOxiSVSiU+/PBDDA4OznhRrrjiChba4XA4pxfjYyb87huP4KNXp3qvjI+aUF3SgsI16ZBIfX+cnMxWWbreYegbepBp35jOakVhcjiygwH94TqW92GjqbIDVSUtkIcrUbytCHGZsYK/Kz4rDs31Ux6gsgP1zCCJSY5E4fpMFgIame5M7CukGyKNVGNowL+qqKMGIxqruyCWiJGzORuNvcOoGzYiYnUG8rbmIfXsPDT0j8AUH4HgUPcGpl2xEOPlp/agicqwOWcMvFEeh8MRBOVx/PHbj+Ho7oXiXkRSZgwbnNoatUyEy5MBkwbfwnWZrJzX21CCv6DS0oz1Gahs6MXy5HCU73BfLWMjNS8BCoUMdUcbZzoCz0dGGipZiaxTcSCRyIKQsiwNTbWBGdTpDOdvzUV5xaz+CREWHoqhwVFERiogGzCgz86Ac0butnxUzROGyy1MxN+e/DbTKuEs/UZ5/CxzOBxBmiL3/PgZp4YIQWWcrbXdkNFgnp+A4nUZyCxMZCJazqC/jxhMCFUrUHGk+aQbIgSVstbuqcO63BhUflTq0WdbqjtRebQZUmUoirYVIiEnfsEyWetzA26IENnrsgNmiBBFDgwRggwRQqcbgWncsUE2H7NlofFaU9GBt1466Ict5ZwO8K69HA7HbXn+/T9/EXvfF+YhIGGsRrtBSiwWISktGuHRSpgnJtHdPoDBvmEm9z6sH5+pbDnVMOlGvNY7of2pONjAfk5dns5Ew+qPNiJnQw4qpstlAwlpiXhSwuspeRszccKBIWJPYV4Cxrp0SFqVjooPSuGqWHdiwnF10sP3bsdH757Axq252LAlD5m5cbzsd4nCjREOh+NWGdOWI+INNKC3N2rZy4YmLgzxqVHo6fRPkqY9+RlhMIkkaGgY8Gk9ZqOwWb07WmunNFPkCjmToo9ODEdvh//320bR5vyAGiIZK1JQJaDiqdzW4HBwDMsuKEblh2VOlzUZnVcM1Vd3sdcz/96F6NgwbNiai41bcrFsTRqkUj6ELRV4zgiHw3EJ9Qz5+y9eCshRomqM/NXpaG7QwuAHifb09EjU7TzGfg6LVkOemoj+Ps8l2BUqOUy9AzA56KPiKyTolb0yFeZJKxorO/06089Zk4m6ut6AJQInZMVAa5zwqjInN4e8GkCwCCj/sJyF78iLVrQtH6Xlrr0sjghVBGPNWVnYuCUPazZlQR0W6vE6OKdOzgg3Kzkcjkv27ygP2BGiTrTlBxuYymj1oO8iiLLJ2UFyZGgU5mHvvBvp6RqUtQUo8dNqRe20jH5iVizCosNQW9q6sCuvXdfezKJkNFd3YnxktoHofFLyE9HcMhAwQyQyPgzUstTbEuGa2lnBteUXLcPIwAhksiDQXoeEyDDmJOHXGaMjRnz6YQV7UeJ00YoUbNyWx7wm8Ul2FVGc0wLuGeFwOE5prOzATRf/NaBHSBkeCrVG5XVXW3tysqNQ+eHRGaGvHpPnuiU0mKslk9APeN//xVPColRIyUtAc203DENjiE3WICoxAm3T5a163QhCFMHILCKhSCsr1Q2WS9HXoWP5N9SFd9QqYZ8NBKFqOUJTo9DtJ+2T4OAgmPtmj2/+qlRUlvlPkTs1MwYbtuTirK15yClMYCKbnJMD94xwOByf+eT1IwE9isqwEL8ZIkRtXR9yz1sJGSYxZhEBzTqP10Fhk7GRxU2oJfG4sj01WLa1AC11Pejp0LGXPWMjRuZFsoeMluKceEhDZBgcHGNJosN+Nkgo0ViTG4+mJv8o42akRSFELEK1nTEi9nMvmpYGLXu99ORniNAosX5zDr5984VQqbnQ5qkKD9NwOBynpDooTfUnpMtRcdS/1SW+Jq4SIQo5JoyL5xkhknLiUXHUs/LmnrZ+9rJHHaFAakEShg1GGI1mdLV7bpDNIBIxzZUqfzUutFoxMTSGlnmlzWaTmRlSlEcSFhGKbrsEX6rGysyMgVwqQUe3HgMeeqx0/QZsf6MEfVo9/nj/9Vy35BSF+644HI5DLJZJvPvs3gA/gE5Od1YKxcTFq1CQq0FqasSCvwuVMfen98EqkfhFZ4VCOmV7a9B8ohn9Td1ITtV4L2q2Jcd/hgjl4qRFodOBxkpNWTvi48KgCA7C2OAYUtKimOGSmhoFBRmYx1pRcagJMrMFagE9hBxxZF89nn74Ez/sBScQcGOEw+E45J3/fIaaY4HTxKCKld66NhQWJyy6DHx+ehja95ej9IMSNOw+jthY1czfMnNioe8fXtTtKTgrF53NfQFRzdV3D6BwWSJkcs8c4YWbc1DmRkvEU1Ry5318utoG0K8dhn5wlOXKJMSHI1Qqwci0Fg2h7RyEOkgChdI7Y/HFJz7D0QNzQ12cUwNujHA4nAWQcfDCPz8M3INHIkJMhBxdTb0o31WOrNQwhIUvXjzfEjQ7KMrkUgwNjbF9LlqWiMYjdaznjjeERymRlh6B6MhgpOXO7WzrKjxDqq2BYqjfgIp9tcjJiWFJr0LIXZeBUptOiB/p6huGSqBng4yTmpouRETPGooE5RdFKeRISl7o0RLC2KjziiTOyYMbIxwOZwEk606DWKAoKEpEY9msMFf9sWZYBgaRnRezKGejvnEAxRetxrILVyJ5fQHTvyjIj0XZp5Veq67SOkLEk2g41oTuxh7oWrrdenz8GZ5xR/m+OsitZkTHOtd6IFKLElEjoJ+MN/T2jyA8KRJSmUTQ8tTjKDE9esH7bQ1adFZ1o7gwkYVzPCEpxbuwFSewcGOEw+EsYMfLAe4J4iBVZFg3gtq91SjMj4FUKmyw8hYa5Kpq+jA4YoF0woSxxjZMGDwXR7MnMz8B7bWz3oSkgmS3gmaBCs84gwzM6FgVIjSUibGQ2LQodA2Ps/48gaK5tR/pucITo6nHjTMqDjaigJKsBRoklAzLNUjmMmwy4khXB/v/ZMKNEQ6HMwdq4vbWfz4L6FGZGHP+4CvfU41IOZDopRveE5RiC6r317BqjvFBg0+5KyTaVbApD5kr06EMV6Cp1nUpbGJ2XEDDM86o3FeLYKsFmbmxCIsImXLpMK0TJcaCg5iYWKAZm7Qif0UK65DsjvaWPiZq5oxqgXlNxavSsPmCIsiCg6DtHmIJ2ksZq9WKgbFRVPX1YndLE16uLEPv6ELD7i97P8Vde3cj1C50eTLgpb0cDmcOT93zDsymwM2M07JiUH2o3uUy3c29CJIOoGhTHspK/SuZbkMkFqG5dNYYaK5oQ+b6HDRXzyqFekJH06yHI0gmh9lF8z+SwZdMmJBfEIeWFh0M+sCIlTmDdQ1u7Ufa6kwkZ8WhrVELeVIEOnwpA/bQO0KoolWY7NG7DlOJRAhVyJweI/J2ZOXGY2TUhF6tHibT3KZ7UbFqxCdGoKayAzkFCfjqZfehTzuMhORIXHXdBlxwxQrI5Z6L451MjBYzWgYH0TNigHZkhP1v/7N2dAS9IyMwTc7ex+sTknBNftGc9dQN9OOt2mq8+aXrITnJwnBcgZXD4cwROfvrzc8G7IgEy4MQpZahvU74gJ+5IhX9w2YM+aF3jT1x8Wq0H6iY817Wqgw0NQQ+bFK0Nh1lu6e+OzhUhtz1OWhq6sfI8OK5ysNj1BgcnzICQhQyQKNk2iSLTWJYCLrdGEHJiRFoF9CcLz5FA3GoDJbJSYyNT0A3MIL0nDg0TSvZOoISaq+4ei2uuGYtIqPmJsueqvzi4w/wcpXwNg1BYjHeu/YGZEfOzZf51juv4+zkVNy4fBVOtgIrD9NwOBxYzBY8escbATVE5KFSxGpCPTJEiIbjLTD365CTF+vX7XE0G68vaXSYMOlPUrLjUPFZ5czvxlETSneWQzQ8jLDIxWv2lpSbOPPz2IgJGfHhAf9OMkZzc+NRWJiI/PwEaDQKVoHkjrYOHWRhIW4rcbpa+9FR3YXu2h6MduuxZm2GS0ME04q1zz/+KW644n7c98c3WdPGU5n97a0eGSLEt1asXmCI0HpGJybw9WUrcSrAwzQczhmOfnAE9//8JRz7rBqFa9MxYbKwuDqFRuhvLTXehS3sCVXKoFHJ0FLpXf8Rw+AoavZWoejsPNQ1DCxwxXuDyUmSpkIeuORZKiMe0+kdVuzo+w1IS4hkeRukDxJo5ntBao62IH91Kst9CVPIUVbbBS8LixxCkbZwRQhq53XoTYoTZgQZxyeQszwF5YcaBS0/YTLj6M4qFG3IRH2DFuNuOjBPTFjwwVvH2Iu6AX/rR+cjI1tYefZi8nrNrCErhASlCj9as2HOe5NWK+7a+ynuveASv0vxewv3jHA4ZzDDg6P49VcfRsnuKoQq5Kg43ITaE63sgV92sAH93UNQ+NjPg8TNIkKD0Frtu24FJbeGy6xITPEtuVWtlkNtdawlUn2wDjFJgUmezSlKgLbVeRiouawVIr0eBYVxiA/QNhCRceGsd4s9ZrMFdQcb0V7ajor99ViW49+BOC8vgSWOzqe7awgqgRoz3d2DCPVA8IyG2coDDVAFiZGWGeORWuvN33gMH75zHKcKfaOj2NvWgl0tniU9/2bzOVDI5ubEUJ5IuFy+wFtyMuHGCIdzBhsit3/1X6grbYNxbAIDWmoQPxfqApvq46CUnBjmcWjGFT0tvegub0bRMs+VW5OSwpGgBEztnWg84fihTuvUBCBcklGQgLJPq9wuN2YYR/mnleg40YCUeAXyihOYHok/SRDQc6jTz+EKZ+Xa2h491LHhkIe4TyLt7dFDppIjsyDBo+/u7xpC64k2FC9LFvwZ8k793+/fwD/uescvnjhv+eUnO7Dm8X9h7RP/wlfffNVhRYwztqWm46KMrDnvGc1m/PXAZwHNE/EGboxwOGcgNOD+4VuPMUPEHZVHmpCS412+RkSUEjVH/C+/TToYZTvLkZmshjxE6tDoIO+HPUFBYox39qC1og0GF9oVRNX+2gXKn74QEirDYKfnQmLN5W2o3FUOuXGUGV9UGeIPhobcdyUe0A6jIDkSywQqyToiIS4M4ukowITZeYVWW0s/MoqTBK2TklLr63vw03u+jPtfuQk/+sMXXJb+zmC1omJfPSIiHWusOOPd147g1u88CW33bPO+xWRVXDz6xzzXwJFJJPj9lnPnVKLRen6w/W3IxEHYmpqOUwlujHA4ZyBVR5tRcVhY7J2YMFqQVZSEEA97giQmhgVUXbThRAviImQIj5AjLz0MOUlKxIda0by3DCHjBoSGzhoqOWlh6G7SCk7ojU/0X0Jnem4c+ju9L5slQThShxWZjMjOjUGil83viKikSLQ1ua9MIWpPtKFyfwOKvDRG5UYzIun0W61QBUsR68KYopwNwYhEeO2ZvcgqTMSl167HT/58tbDPWa1ISo6Ep9RUdOCm6/+NkoOL39fmqrxCpIV5HrL7wep1SA2bew036AaYZ+Try1acMrkiNnhpL4dzBqHt0OGdp/dg+wv7WZjGU2iWFZ+qQXiUinlXyJU9YZyALFiK+vK5yalSWRCkxjGMLIKGRtG6dJz4ZGGFQVi0mr1kchmrlPEEWYgMoTERGPaxpDirOAl1B2vhK0Wb81ExPRiqI5WQqJUY9EKyv2hrPsqPufeI2UOeh4J16UwcbqBbD0OQGPph996VOKkEAz16xKdGoaOpF1FxYYA6BD09C0OCOfnxqPewMeMtv/88Lr5qDfv5jf/swb///I7bzyRkRqNd610jRIlEjLf23o6goMAqBM/nrdoq3LzjPQiFjJAPvvJ1BAfN1qiQEULJr5SUfFVePuSLJHImtLSXV9NwOGcII8PjuPmKezHY533PGTJASL58voQ5GSnF6zNZ0qt9jgR1XE0Pl6N6bzUbyALFqBN9jKFePXt5g2nMhLyMaFSUzPbQ8RSFWo7eRt/zZYJkUnTaeTP0AwakxoVDPyjCpMWzvBndgOdGKHm3yvfPntsCaqTnwhgRwYrlOfEo3zclbkeGCDEyPIaM9Cim8jq/mkcu83w4+s8DH2HLRcUIVQTj818/G3rdKF741ycuPxOiIO+ed8YIqbb2dA4icZH721yenYeHjhxCzYAwDZw/bDl3jiFiC9tcW7gMpyo8TMPhnCFUHGrwyRCxkZsfg/z8mAVGChki+avSmEekYG06ao63or1RCxFEATVEiEAotBL1RxuYPoq3JKdHYdBLY8ie/I050M1LMKYyaUoOzsiNE5zIG5MShY4WPzTBk7g43lYrcuLCZwwRe0jPpOpgo8Oy6uqqLkQneBaO0PUZ8PITn878/rWbL2BhG1d0NPR6lMg6H0cVQYFGLBLh3LQMQctekpnjMB8kUPeIv+DGCIdzBkCD1Yn9riXYhaJv06L8o+NQzUsQJapKmhGqlKPycBP7PSo+fI7AV6CQCewC6ymj+jFkepnAmbsihSXC+grl6TRXzdXmsNFc0Y6GI/UoXpUqaF0x6f7pimx2IUCSlRaFhnlaIvaQxkpu5kJhOapYkYTKULg2A7FJERDq7/nv03uh7RqcGXB/8NsrseUSxx6AlMxopKZHwToyjjUrUpCbFcO8OEK59sbNWLH25CR+lvW6Fm8jQqVS/GbzNpyOcGOEwzkDDJH/3PMu/vvITr+V1rLy1yjHVQlDA7Pel+hoBSZdVFH4A8pnaC7zLNfAE0p3VSBvpWczaXVkKDqqPMvLcEb2miwm+uaKroZuQd6Rvl7vwhMLGHfs6cpIiUR/g4DkWCehpc52HcrK2tHVN4Kw+HBBariUt/Tk33fMyeu49Z4vYdXZ2XOWi4pTo7W6CzXHWpixXPJJJeoONSInRYOU5EgU5Tnv/ktOhR/+4lLceNN5J8XDcKy7C8e7u9wud/PajYhXnh6S9vPhxgiHs4ShAeqJP7+Nlx78SLBcd3pmFCI0znU21NmpWHbhSoyNuVa0jE2KRNXeavhbwTR7WTLC7Moz81akuB2sfcaDSg865rFxYawCxleUEQrUnXCfs9LXMYAEN3kM8RkxbnvACIUa/VGptD3FOXHoKG0XlBhdcagRBblxkLgI9wzqRqfzO9yz871SVNuVqVOo8Nf/+Cq7NojYhHBEOinpraNw4olWVO6rQ3p61IK/kxrxb+75Mq64Zh0WmxM93bjx7f/iqlefh2HCsUifjZxIzSmnHeIJ3BjhcJYwFvMkXvPAI5KZHom63ScQH+Nci8FksmBCLGXx/Tgqk3Qym4wIk8MqQE+8YGUyklLCkbtyauBwRnCIDBGUDLuvGmKLGQnpUShelwHT2Dhy1mQgf0M2slYGxoU+rBOea5O/KhW1ftJWSV+ehvERYc3rNNGue7xokhcOtL6UhhdMGz8ZKRpkp0ehoaSFXW9CGdeNwOIm+VYaIkPG8hRkLEtGZmEiitZnssaJ9H/emvQ5Rulfb38N5SWzQnZkyPzx39/AhV9YhZ6WPlam7A65g835wnUbsOmcfCwm1X29rInd5195DrtapkKe7vjj1vMhlSxulY8/4dU0HM4SZmzEiOAQKcZHXc+qCJFYhPayqQffxIjzSokwtRx1JbMPSMoLiUuLxtioCc11PWxASkiNQtU+YV6RseExtFS0oWjb3Pbm88kqSkDpzooZTwA6BtDmJElTrVGh/piwh7gQWivbkbEmGy1umq4RQSIrCx35qq8SEReGmqPC96GvtY+dQ2cGoLbb90Rae8gDUpQTh8ZjLSxUklWQgHoXuSLzobLkwrw4VFR1TcVBHFBR5rqXUVFxIoYGpo5RR0sfbv3GY9h26TJ896eXIDJaBVV4KG656xosW5+Jf9/xpluvTe3xVhRvyERj2wBGpu+ZPgdlyIHm3oN78Umz8FL0q3ILsD5RmGjcqQr3jHA4S5Tmmi7cfMV9ggwRIjZODV3PVKVAkNyxNHd8SiR6yRCwo69rEOX765gAmVRkRW5xItQK4RUoUkUIlm0rQnfb3PXOD30YBGpqUO+XYbu8FX8gDZY6VHolqNomTKNk20g/U2+bgg1ZzDDwhaTcJEx40DCvq0mLguJEh31eErPjZpI8/UVbvRbVBxpmmvoJkXO3Z2hgBD0+Ss5XlHcgf00a+1mlkqO4IB5Vu6vwp+89zspwCcrxOO8Lq/HPt25h4RtX0DmkvjyS4TGIp0fHThfXZaCo7RdWwkuog4Pxy01bcLrDjREOZ4ny/P0foKtF+EOtu3MIuecsR8qGQlTVLiz/VEeEwmQYY1LszqCQQmNZGxqOC5/Rk/u84mgLdC6EqIrWZaCxVHiS6viosNCGUEjYbXRkyqijwT4zJxr5y5NQtDoVIWIrdM1dUEitmDSMwDQ+wXrQhGuUKDo71+tGg3ovck6okaC+rRdhcjEys6JQuDIFYokIEQmeq456/N1Hm2dyNIQSqpJjeWEC5HLvyqcpQtjSMoDwSAXUEqB8by207QMsQfXNx3cvyGG69LqNgtZLPZmio6YEujpa/VAK7QEjJhNa9cLLh2/dcDaiQz2TuD8V4WEaDmeJEp3ouYR0fa3jSgiaUYaHhaC11n1GP4VtOqtdu9eFqJYOa3UIi4tkeiXlu6fCM0IxjgnzBnmCZNKMrKJEmEfHUHd0oQt9fr+bge5B9iIl19zV6ZDKpUxvhUIvzkIpNDPPXZOJyclJiERixKdFo6tZmHS7PaRtYtM3ScqJh8g8wVRDqTNvIBno1SMzPwENVcI6NHc09bEXCeQ1dg+5zSFxhGF4HCtzY1C6a24TQqogW3tuAZKzZqXsv/T9c7D9xQMwjrtOviZGpw1a/dAYhvVjUPnYvVoodTrhxk9xdCyuO4WFzDyBe0Y4nCWaK1J5xDP5c6dYrcjMjRVkiBA97QNsAPaWuJRItJxoRGd9N1NwzVmRwrQpPME4YkR8hnf9VJzRcLwZkkkLGk+0eKzkWn2onnlLqg7UscTfnNXpC0pxyYOSvSodNYcbUHe0iSXBdtZ0MCG5SB8a5LXXdqF0+zGItFrkJCpRkBcDlcqzHkNC0XYNQa6QoWBVKuShMuS7SUq20VjZiXgKs+S77ybsCN3IQuPCZJzAvT95biZcQ0RGq3HFDZvcri8mKWJGIVYVFoIRg3vpe39RIzBEQ0HAO7adD4ktnnSawz0jHM4SY3zMhN9/81FUl/hHe6NoTRrLCREKJW6mZMehqdQ7GfUJkwU563NYLgIlREaEeT5w0kBPSa7Fm/OZMdXbOYDuRt/yEwjjmNEvOi30UoSFslwOsViCmqONSC9KRtmemoU5DPtqUHBWLuvx4gumsQnUHKqfyaNIyU+EKiYMozoDDAMGJK9Ih2liEtpew9xkV6sVIolYUGUUUTF93UVEqVgJsFC6WvrR2zmI5avT0NM/gu55irOuaG4bQExcGPrnqaOSpgjp61zz/fNm3rv6u+fg3ef2M4PdGZRnlZ+XgHXb8nDlteuhUC4U+AsElslJvFq1sMeSI64vWo7lsd53VD7V4MYIh7OEoHyFP377cZT6QW2VdCuCxFaPDBEbMoX3D28aUGyDCpVz1nrZZI7yPMo+m3LdB8mCWNmvtxU2y7bms8GcEln9xcjQKGqnvVdrL1mJ8nmGiL22ypCA/JHs5SkwmyfRVOE+REZGDsnJg17TiBUh6GntZyXUBaszUVnegazcWIz366HSqFBVo4VEKhFcvqvrG0ZCSiTS8+JZXyTD0KjTHkI2KB+p/EADNLFqFJIIGaxoadPB4K68mRo4ZsYtMEaIZ+59D+vOK0RqztTATeXAn79xM154wLn2jn5gBMP767Fpcw7re7NY/KvkEI50CQtx9Y2NsuZ383vQnK4sDf8Oh8Nh0KB1Yp/nxoM9EqkYxWvS0NPcg9Za75q8WYzuY/KClFVP+Kc8l3I1BnuHIA32/MEdopJD29qPmiMNqD7k27F1JTs/5iQUkLE8FV12TfIckbc6HbUlTRg3jDmrknUJhbTIELHl21TuqUJUqBj1B+vQXt+DqoP1iFEGIXh8DAWFwkMp5CVpqu1mIZOU6dyNiCjXeihEf48e1QcbUH2wEUqrFTIBTfT6Rx1fc1SRdB+Fa+zyZb7wrS1QqOTuBQPvfhcfvnoYiyVw9vdD+wUvv72hDk+eKMFSwSdj5K677mLuvltuucXpMrt27WLLzH9VV/tXmZHD4UwNat7oW5DKJLnj03LiEBWpQNm+Wo8ErOasSy7FuB9i7KS0Sp4ef9HXPoD89XMlwoWgilCysArhqpLIF1zlxFQfrEdKZgziqaeKE4G5Ef2UfkZnoxYF67OYIecJ0SkLBdH6OueWAlOVyujwOPpbe50K3TljcGCEGUlhGgWCgoOQXZQkWFa9t2sQSoXMpVor0d45iIIteUxXZz61J1rx6sOz3XxVYaG49ofnQyyg/Dq72PumekIZnZjALTveg3lS+D13RXYuvr1yDXCmGyOHDx/GI488gmXLhGXy1tTUoKura+aVne35Q4HD4bimr3sQkTFq9goWWC6ZszwZIaEyrDw7B83lrehp862UkQyI7q4hFG8t8KqPBw24RWvTUbVnbnWEP6jcX4vwmDCHf6MBPCoxEqF2VRMkod7bHvjSTosbI8cKK3TdQ9DEhiF/XQYK1mUiyK45oHq6DJUo31uD+FQN4lLd93Wx0e9BzxryoMR7UalVdaINQ7pR9HYNoa6iXXCnYWKouQ9qKxAf5yKRVyRCWV0vEpwkLj973/vMKLFx9Xe24eWSP+J3j96IK7+xGWm5Cz0+dBzTvGyU6Al37tmF5iHhUv2XZeXgvgsuRdASSV4lvAo2GQwGXH/99Xj00Udx5513CvpMTEwMwsPDBS1rNBrZy4Zev/gKeBzO6cjqrfl47sgfZxQun/m/9/D+8/sdPviV4SFISotG9bSENuVY+AvyqpQfakT6ynQMdg1gQKDgliYuDGHhcpzYKSyJz1PIs0GlroPaIYd9YPq7dDOGCRkllNexGLj7HmWEkoXMKJRj20ZSvaWqpfa6bpaAag+9RyGp/LUZqDrsvqrKE3E1QiUToYuuKS+bxi1fl4ETBxo8+jzprsQmR8JdTVeIRuX03N9yxX3YcGERrvrOOShcl8EqmDacV8hexGDfMNsu6nB9fF8dzrqwKOCN8XY01uOFilLBy1+alYP7L7xsSRkihFd7c9NNN+Gyyy7D+eefL/gzK1euRHx8PM477zzs3LnTbfgnLCxs5pWcHHg3GYez1CDRrXOvWoPc5ckoXJuOwjXpUEWEMhd73spUYNI6Y4gQ1cdaEBnn2GvgLU1VnTBawPrGuCIqKRKrzilAb0MX6vxVkuwEZyEke9VWMt7IQPBHszt35G/IQUe969ycof6Fnovu5l60VnWwrsjNdomo9gYGib+RB0UdqURMsgYhSsfJmLFJnnk6ao81o7AoAd4glUlQfbQJcfFhyPKwlJfCKnnZsS7DRGV1WuRvyXNYyUPndf8HZfjZ1f9ghsmuN0vm5JKER6mw9fIV+PGfrsYTO2/DjT+7FIGkd2QEt30y23HYHRdnZuP+JeYRsSGyeuIrA/Diiy/iT3/6EwvTyOVybNu2DStWrMD999/vNDzz6aefYvXq1czb8cwzz+Dhhx9muSRbtmwR7Bkhg2RoaAhqtff19hzOmYS2YwC3XH4vdHYueMoNiUuNcpqYSkZLhRfVM0IgFdWy3ZUL3qcKjZBwJUaGxpCYGYNgMVB70HFliT8gr0eIQj6TZyG2TqIIfShIU6KmbQSl1ihMihbnYS9XBCNYIceQizCJOEgCiSzIL/kq8ekxrIfQUN/wAmNQNzi+IHeFhgfyDGTkxSFELoW2qRsxqTGoKO1gVTdhqTHQ9ggM8Ux7UnIKE1A7Xf5L3gkyMIaHx9Fc0y3YU5K3KhWNnYMuO0cX5sRC19qLHjfJvzGJEbjym1tx0bUbvFbL9QY6ttSRd3fr7ITAFRdnZOMfF1122jXDo/GbnAruxm+PjJG2tjasWbMGO3bswPLly9l77owRR1xxxRXsAn/rrbf8ujMcDgcYNYzjv//+BK/9+xPBfWls0MAQFauG1se8EUcUrEpDxV7HieuZqzLQWD41u1dHKjDc3oMJPyavLtiWjTksf+Rsazt+YD2GaIzN/K0XIXhIvAp7xYFvPFa8pQBln7lO5k/MikOnB7L+7ohOjERcegxTY6050jjjZCjeVoDyQ3Orl7JzoiELlWNi1IiqA7Ml1pQPVFPdwypSorMS0FDnXsMlJTkS+sERpldCfWnmQ514y6eNFFcN/9jfRSLWk6audQDjTq6TosIEVB5rRVpmDFShMgx16dBW47xslrxGl3xlIz73za1MOj7QlTM9IwY8dPQg+9kdYpEIL3zhS1iXcPo1wwuIMfLGG2/gC1/4AiR2lpnFYmEXhlgsZt4M+785gzwrzz77LKqqhCWocWOEw3EPSYi/8589eP7+7RgS2FTO2ayz+lCD3w85zToTUzUzwlv2kDhZ+cHZ7yxcnYoTHx5HoMhdm4noQ7vxW+s+9rv9fHxy+vc/ijcF1CCJy4iBtnXAbfUTCZ5VHfb/+SCyV6ahvUGLuIxYDA8bMWAnNEZDQ+HyZJTtWpi/owwPxXhQ8IzBQCGgmNQojIyZ0dzUtyCKUrgiBRV259eZxyqjMJGpuFrGTWydTXZdkkkfJDZWjVrq8jtN1po01DgyhKxWKIOD5uiakCjaUEPXjBS8yMV2nH3Jclz13XOQS+HMAHDly8+hVOtZ2XyQWIzbztqCG5evCngeiz8ROn57lMBK+R5lZWVz3rvxxhuRl5eHX/ziF4IMEeLYsWMsf4TD4fgPCr386zev+rweUm5NzIxFR8PsQOAPRvRjqC1rR+GWfNQfaYRxuvdH+rIU1Je1zVm2vWUAQcFSmP2YVGtP84lm3CkrB4wLByUK0JB58P3JEuwXJQQsZKNQKzBpce/xoDBWoKg71ozVl6+FyTwJVYIICdnxEBmNMI+b2KA84aTHDxkbiSmRaG+e8qCRJ83mTVOEhSA1PwmdWgMr6dXEqNEoQIiNjLL60rYZD92k1YrswkSWbCyWBrHtaarumuM1GSaRMweJtCq1HCP9c70v2u4hxOcmQiIRsz49k/oRtNd0LUjupu349J1j7FW4NgNf/N652HhRMfwFfd9l0hTkIxSDYhO6raMYsBqhhwlDWHi9f3P5KmRGaCCTiCGTSNA7OoIYhXutltMNj4wRlUqFoqKiOe8pFApoNJqZ92+77TZ0dHTg6aefZr9T+CYtLQ2FhYUwmUzMI/Laa6+xF4fD8R9VR6dizzRr8jAVbA5BUolX4mBCoY6qFCqgmaqRJN/tyi1tUE5DwZYClH54IiDbkGvsQrjVeZUemR8xGEORtQ+lohi/fz8l9Fa58RTYd0IOFMUXrcKxg3MThnNzolH56cLcHnsouXekpAHZZ+WhsXruDJ9yfyoP1CFEEYyVG7LR2z2MfjfKq/NRhoWy/BUyikgiXh4iY/ohlHhdVdaOrII4jIwYERYXjs7KhaEXjUa5wBghutpny2fJILnyRxdh1ZpUNFd3oeZ4C2qPt7Dvs1F1tAkjw7MhPH8wODiKdx46gDE7Qy+YwmcANp2Tig9jtJgQTd2/GeER+NWmrUum/4wr/P7EIQ2R1tbZhwsZILfeeiszUEJCQphR8u677+LSSwObpcw59TikbYXeNI7zk3JO9qYsSahD6c//eQNkwVLc+d3HvVoHc5Xnx6PWrsomEPR26BCXFIn6Q84rZ7padQhWBLOmd/5GA2GibJF2uST+gspxuz3IAdEGQOeEvC25W4tn+sjYU9/YD2V2ChOvI+9HX20Huuoc51qEuDBaqffLsY/LkbnC81AHlfHSy77fEr1oiE5IDGeVX0kZ0U5FwkZdJLbaoJyZ15/bj88+qsB3f3oxrv6fc5khT6Eq0iOhF7Uj2HTJVH6kv3juqT1zDBF7ane24Pz1SXg/fer6+MGa9WeEIeJVNc3JgOeMnP680VSOXx58F1KxBG9efCMy1JqTvUlLEhoAHvn9f7H9BeGy0vMrXsr3edcLxhOoE29TebtbfYuwKBUSksJRsasM0WkxzDAZ7BlkvWZI4t1blk324F7sdrvcreJzUCqOWfSkVRth0SroB/1rEJG8feKKLDRWC+vCXLQiGSfeOzLnPdJqCY+LQHe3Hro+1/lJIUo5UotTUVPqmdCZEIrPzsHxeZ4ZG1npUWikCh2BnLctG4beIRYCou2UyoJw64PfRKgb2XhPoPV++cq/Q+cggddG4udTsFuuhTwoCB9edyOSTvOijYDkjHA43tx8D5Tvxd/KPmW/x4QoESZbnA6YZxIdjVq8/Z/P8OHLB5lkt7d4Kn7lCaT7kL8qjW1f7XRIyR0UrqFXaGIs+geNyFmRioTCVMikYhz/4JjH20BGTP66TFjMmejddwgajDkUW6L59qBUhfLJhTLpvkBJnlUHhJdORydHQT84N5/GF0h9VpUaJ9gQmWKhAREaFoqqcmEN3UiorXp/DQrPznfoifGFsj21KDwrGxW1C/ObpCEyweuRySQ4+M5RGAbnis/956438P0/Xwt/0dc77NIQIRR6ESAHxs1mbHvmMVyUmY3bN21Fgur0NkrcwY0RTsAwWSy4/dB7eK1pKun5zrUX4+qM5SwJi+Nfg+/O7z6B5mphg4MzouLDUX/C98GCEgwp8Y+8NA3T5bpE3so0lHvZTdiWN1F7fCoETCJeORtyUGtXbiqEyNiwmU6+D2EFfov9zPAQO6imeViyAkm5SWj18bjao9aoWQWNUEJVjnUvNPERsIpELNHYJhc/aZ5k6qw9zY51NWIzYjEZqkBHs2dlwuOmhaEQnUBFXXvEsKJoVQo62gag6/W+2ms+dYcakLUiFfXTybQ22qYb/wkhNSkcdY0dC95/69Gd2HbVOuSvyfDLtg4NjuJL123AxzvK0e/Eo9ShmUCEXI7NyWnYmpqOLSlpiAoNxVKHGyOcgDBkGsP3P30NB7RTg8dyTQK+krXytCpJO5mQKuSH75zA7g/L0drUix/98nJs2JI7Z5kJkxmvPvwxPn71MPOM+Ep0fBj62nzTs6CkxYTUKJTvq2OlvJQIa/O2+OKxmY9haAQJCUrkrc9ijeSEeGUKNmaj7uhsjsoeUSL+aN2IH+D4HJ2RPoTgX1iBPcZYKNr7Wa+TzkbfK4ty12YxXQ9PMM9rVsgMvU15rCFiU0U7dHaluOzvItGMhoo9IeoQjImlMPQslMF3R31lJ4ovXIHyD0/MhFmoX488Lopdg0KgUEddWRvTvaEE6aLV6Sg/0uy1nPz81gPd1Z2IT41GV49+phonIz0a5W68EDbGxh3vB+3v/bc8jQc++TUL2/hKVk4cFIpgvPz8AYd/T82Ixk1fvhjLYmLPmFwRG9wY4fidVoMO39r1Mhr0szOTE/2d+FPJx7h91XncIHEBPfz2fFyJp/71CdpbZo/f4w98NMcYIWPl7h/+B3vf80+1SUJ6tKAeJq6ISgiHRCRCw3SZLpXyRidFIiJaBZlchp5W/wl35RUnoPTjUoTHqFkzuy5XxpjVitw1GSj7dKGuERkk+6wJKEIvS2rthxzliMbk9CBJVSMU2iHNC1+E4Mgos/WUEUpyXiILNaTkJzLZ98JNuUzPqdyFQi5dP1SFUnhWLir2zarYZq7JQmWZ9x6eyvIultSalBYFY98g+tt6MWycEHwvZyxLmRFUIyXZ8gP1yF+TjuqyDpfiZg6xWpGQFoXudtJoma46yYmFyWRmfWuSUyJhNZlRLjAUSCgiFLjka5vx/jOfLfhbS3UnXv7Hdlx/6+XwBx+877wPTUZGDFbGnZmyF9wY4fiVY30d+O7uV9BvXNj464maQxgxm1i45kyz+oXQ0zWIv93xFo45qDChkIdNmpuy/R+74w2/GSJkLJjHjB63hbcnPT8BvW0DMMxr+NbbPsBe/kQsEaG9YsrjNqjVs8EtOS8BbQ7CKYnZ8YhOjMBxF433yPAohfMk1aFePZvNR8SGQeeFZ4HIX5+DUoFJq3KFHKrYcPR0DqJj2iCNTIhEpcBS4JqjTTPJvzbZ95Fxi1+UfWvL25nXYeXWYhz9pELQ58iYa61faCxWHWlCam48VJFKtl6TE++EjZSsWKjD5EykrbOhhwmvUadds2USDWXtrNqm6JxC1FZ0LPAouWPbJcvwha+eheKzcvCPW59dUE794n3vYfPnViMlxzdDwWKZxI73nBsjCR72CFpKcGOE4zfea63CT/e/DaPF+UPlpYbjGDWb8H8br2CVNUuZXR+UITJKhbziJMhcuHjJyNj+Zgke+dsHGB1xXPLX26PHv+5+F7V7a1BzzH9JgJGxatabRWunv+ApBWvSWSmwP3qnCIFmw+qUWESnRDE1V4NuhH13TEoUtNPeF0mQBGnFKWgub4MmwfcHfH+nDspwBYrPzkX14QaPEn01iZGocqA664jw2DDIVKHo65h7PuaHY9xBFSzJ+YlIDg6GSCxGxbGFWi7eQp6X+ppuFJ2di/I97nsI5a5ORwWFZBzQUjOVSBudEAF1igIiqQTG0QmWxNPWMDf3paO+C612RgYlm9qr9rL32vsRFaNmAmfz++y4gsTVSMH43GvWI3tFKv70rX+juXI2h4TCURSu+b93fsa8U95yvKQZvS7OZVeHjpX9hniQfLtU4KW9HJ+hwfTRqoP4y/FPBH/mo8u/t6TLe6vL23HLjY8xZwM1p3v05ZsQl7hwUOztGcLf7nwLR/e7n/VGapQYrGzzyYNhn3tQsDIFbdUdSM5NQFtdzxxdByHkr05jg7Ij0bJAU7gyGeWfVUGhlEE/3dGWut9SXgp12iWPCWmU0AyXeTS6B2B1I7su+Ls35TFRL6HkrM1CrcBckdyNuag77ruxWbS1gDWzCzRkaJNxZq9fEiyXzskPis+KQ5ddyNEVlJdBAz95ANOLkjDQZ8AgNREUiRAsFcEoQD/kmu+fh6/+5GIW5rz3N/9Fg8Dy3pBQGa7+xtm4/rvbYBwz4eHbX8L7T88N29x0z3W44pvb4C1/+t3r2PXxQkG5oCAxfnb757BpSw66u4aQmubfKq7TobSX+8o5PkGiQ78+vN0jQ4SID1UvaePsn395d8ZmMBnNOLyvDoO6Efa3vTurmNDSe68fxfe+/JAgQ4QY6Dcgc1Waz9tHomaxMUqU761hPWxIV2RseJRpjCjDBXYttVrZwHAyDBFVeCiqD9YhZ3X6jCFCyEKkMAyNsVwVmrXboNBK7ppMv33/qH6UeVuovw3lorgie3WGYEOk8Ow8vxgixNiQZ4alt0iCgxCbGsWMWyJ/fTYSpit8VBEK1iE6IkoleH22hFi6TxrL2pCQEon4xHBkFyUyb5cQXn9sF7QdOmTkxOHPD38dadlT2+MO6ma8czqEQh2Jb77va8z4sOeJP7wG/YB3lUDD+jHs/WyhJ4m8IHf+9cs494JCBAdLl5Qh4gncGOF4zfCEEd/e/TJeqPdM74F0RkKCpEv2yNOsLrcwcc57D9z9HjM8yBD5489ewp2/fAV//9PbGPFQJlui9rzET6kOQeGaVBSsSEZiUjgajjWha175p2l8AmX7all31qL1GVCo3WjBiERoqupgmh2LTUq6BqYx00x1A4l4Za7MhK5nGAPdg1P7sqdmTtzf4scIUlNZK6s6qqayYrEEoU7azlOeyRDN6gUy6EC+3FtCwhRYDGpL2xEaoUTemgwUnZ3HBtz6aYMqa2UahvTjqJ3uN+MNlCfT1dIHpUouuBqLQnYP//6/zKAJi1DgL//+OlIySGzdOamZMTj7/EKo1CGsn46Ny2/ciszi5AUhMG/Y+VEFJkxzL8Tw8FD83z+/itVr/VM6fDrDjRGOV3SO6PGlD5/Gp12eV2AMmcbxUXvgVT5PJjfedB7CIuYaDvSQu+PnL/u03rraHigjFw400ckaZK1Khzho7i2dmhOLIFhYbL/iQB3a6127rKn0smxvLSymCeYpoVJdZzjoTxZwyHNDXhGiraYLy7YVITkvGY1lrWirdS7kVX+8mQmI+XdbFKg53IDELMdJjQUbcwVV4JDsOg3k2g7/JfrSaZGHBt7gzylOgkIpR1VpO8qPNLEQTUJGDPLXZ6GpphvBcpnPuUTqyFAMD44gZ3mKy+WS0jTMC1K4Jo2p+34wrUIcHqnEXx75BqsEckZ/7zB+dPvl+NvT30G43f1FE4uv/+rzM78v35zndYnv9ncXJpz/9LbLkZN3ZlbPzIcbIxyPKRvowlU7nkLNoGNxJSHcuv8dtBs8F046XaAZ1sateX5fL2Xjp62YG6pJzo3HmEiCuoY+yGM1rMEczUoLV6eitaLN4+RHYsxgZJ4STFpQtD4T8lCZXxRbyXhJy4lBQqp3+UIp6VHMK0IM9uqZB4Q6zwohPjMO/iRq2rih70/OS2I6IjYi4sJRLSA8QwmrcekxKN9T7VfDrmx3JdQSID0rBiGKwCVDVhxtZkaIDfKCdHYOoaG6i4UfBqereXzVEentGGCeJqdYrehs6mXCfxUHGzDQM8Q6WNuEACmR/O5HvoGE5EiHHzfox/DUPz9y+Le15xchf9pzseqcAq/2obG+B3UOcleSnGzPmQg3Rjge8XF7Ha798Flox3xTUNRPjOOLO/6DVxpOsFbhi0F9Xz8e2OtYbMifmIwTeO6x3fjYwUzIH2gHx5hAd2JOPPK35KOzfwzDQ1OiXSOGcVScaENdYz9qSxpZO3RfINd42d4aSMRgRomtnX1KThxyV6R4nONAp7q3rh2tJbXIzvHMU6EMk6P2kPDE0fk0V7QjSOqfAsLI+AhIg2c9D201nSw8QUm0lOCqilQha3kqijfnuXTrk4IqaYgQvlRpOIJ0XRoP12G0vRdFy+aGDQMNNZij8Io/GNGPY6h/xLVRLRItCKdQuO7P//MkxkenwnWaGDXufvRGh4nkxPbXS1BTvjDpl7wjP/rr9bjsG1ux9ry5XeuF8oGTct6Y2DCv1rcU4dU0HMH8p+Yw7ij5yO/Gw/1nXYnPpRUG9Ex0DOnx5WdfQs+wAX+59EJ8cVlgvo8SVR/66/vobPOvtsZ8LYJgiNBc51oVVDE+wkS73EGx9aT0KHRMy2nT7/EpGmiilExovLykdUbcqmhjNisVJYVVbylYnoDW8laERavR0e1+++wraEp3CdO2cEb++kxU7hWm9+Gq0R0l7s7XonBGbOpUvkJPy5QnkQTUKBlTHaViYR4bIRo1jKOOS7t9pXhrAcoXobqGdEAS4tXs3Pb2jSJEFcKunYqD9QuqmUgnxDxhxriTcvb5SKRiSGVSFkp0REZ+AhrLF+annH/NOvz0/q/N/N7docPPv/0EtF0LNWNyChNx/zPf8athODFhwVe+8A8mBW9PRKQCL791C5Y6el5Nw/EXlslJ/OPQPvzxyIcB8WK82Vzh926e87l3915miBC/+eBjHG33/cFcWtmOktIWtu0Ntd0sMfXXP34uYIYI2QPFy5LQ29Tv1hAhkotdt24PDpGy8t6YiGC0n2hkv+cUJSJKLUNHaRNKPylD6SflKFyeNHN+SP2zvU54J1RHVJ7ohMES5JEhQtLytYe962tjj9CBzxlJuQnMEBNqiNiMkOEBAwudkaeEGsd1N/fOMUQIcQATcIZ93G93ZBcnIyxSiZGGVpTvKEHjgWroeoeZvkj54SbkrkpH0VnZTImVqqDSi1MwOmZG1vLZkGP+ugwkZMcjLsWxx4zyT0hczxmNlR1IdJCo+tErh1gDSRvkGSEPSVTswoo+Ekz74A3PGzC6ghrjzTdEiNg47hWxh4uecVxiMJlwyzvvYmdjE5YlpKJK1AGT1b+dXXd21uOhin34Vt46tI0MYmJyEgURwsrxhDBiMuHjutkH/4TFgv959S3c+7lLsCVDeKms2WyBtm+YvT7ZU42DRxqh0E9AYgVam/wnde6I6BgVFDIpyg/Oxufd0dZlYLkLuu6FuTmRMWoYOnpQ9vGsMmZyejTEVuuMcJh9/kHROUWoOj416yQNhsUmLTMKpW2+94dpKm9jBkV7jXfS6CpNGDBPjEsIo8NjqHeT26KJC2NddSlZs6XKf835iM7yFuStyUJ1RSczLNOzYyEyGiEJDYE8WOKR18RmmJLHIzVNg9FRI6sKGxocQ1JmHJrLWtHTrEX+eYnQDUwNwtXTDQ7n09HUx0J/+WszmdFiS7p2BJXbkjFS5UTmnbYqRhMCtSwa3b1j0PXPhpIf/NXLkEjEOOeqNWy745MicfcjN+Jn334CA3YVT/IQGdMF8ve9Gx6hYKX99nBjZC48TMNxStfwML7z3zdQ1Tv78F2RFItjk/5tA24jWBI0o966KS4Nf1xzMdLV3id4Gc1mvHyiHI8cOIzuaa/IfL6/cR1+vHkjgua5ZSlR9OPPqnHgaCN6tHp09+rRP2CYo+pYFKdBQ0lgdTakMglyc+NRX9oO47h7waf5UM+Oxs8cS6FTEimVGlr0w+ht68Oyc4sxaRWh9kANi7fbk7k+B83TbdqDZFJYFklt1dZkbUI35JE3whWkfxEWpUDbdK6GUGLTotHbMRQwL55UGQLztM6GWqNEck4CJibMrCGeeV5JqLcUb81nqYJlu2fDXSTvXnBuMaxSGboae9wmPKvUcoj6+iBXyjHQpUPuxetRcXTqmVCQG4X+pi4ok2PR0CDMQxifqlkgihYVrURf51wV2rgUDRM0++evXnG6rgixEb2tfVh+/nJUVCw0XpeflY0f3vVlJGVNGTxtTb34+befZIZL/rJk/OxPX3Sa5OoLv/75Szi4b65nj7r3fucH52GpoxcYpuHGCGcO4xMTON7VjSMdHXj+xAn0GOZa8wqpFCNRw7AuQknnxcm5eGjzFz0OKbXoBrG7oRmPHToC7bztd8S65CTc97lLEKtSTomSHWrAo89+hiY3CXhyEigKDUFrhfOSUm9QKIORmhqFSZOZlUeSaJovFBUloPxj58m0FB0gI8uWFyIzGzE2T9OhYEshasrabZ9Y1GaHhauSUbrTt1yR+ZCse+mucs+24+wCj5RXPUUcLHNo6JCYW3phMku+banpxMh0srK/IKVaVVYy+nv0SMuJZZ4NdxTkRaN0xzHWzG9cGQGdH6pm7ClamzYnLylIJsGVN27FpkuX4yefv9/p5zIyoyCXiTFqmkSwQu6wdQL1yrnmB+fjyz+8gHlbmuu1OPxZDa762lmChdU85ZknPsXTT8xVc/3h/16EK7+4BksdPTdGOJ5Q09uLJ46W4K2qapjcKESlZijQPO59B1Oh5IXEIkcchx+dvRGZGmGzle3VdfjRG+94/F2RoSH49cpNeO/tUlQ4aLjmjGBZENKVCrSU++5Wzy5IYImpVcdaPOqr4Q4qiYwJEaGzTpjRVEgy8RWtc5rC5W0uQF15B3uQWyb8I6suhFClHOYhPcuz8CdJOfGIiFHDOjmJ1qp21gzPGenLUyGWyTA6NIbuRt9DRY5gCqZB7sMD5MVILUhiGifdLb3o6/S9PL7oolWoOGEzNIGilSkod2N0xSeEQW4eR4gyBD0GC/r7hOf/uINk4IeMFsTHqdFX34VzP78aV3xjMyKi1awZ3vP3f8Ak/4eHRlF5pBk6F+dOE6tGbFIE8yzVzqv8ik+Lwk1//hJWM29RYDm0vx63/+ylOe/dcfeXsGFTNpY6em6McNxBs7BPm5vxxJES7GkRHnpZkxWHw6PC23N7yyprGk609bDEvvuvvBSX5OW4XP5gSxtufWe705CMM4qCIxHWDjTWuWhD7wKZVIKsMBWavKxWyC1KZDH3keFx6Np1TLDK3+QVJaDahXdkPpEU51YFs/BNYk4Cqso6mDeE1E7HDCYk5SVC26xFcmEyGo96LnwnlMJVKSh10XHXH+RvyELlniqnTe7GTVZmDMUkRqBnnnKtv6AyYbMX9icJjNE2kjHVWtvtsccqd1M+ahsWTiyyChJgGhlDcGgwGsrbMGmeRFRCBDSxKoiGhtFS3oLh6ZwMMowSVmahsdH3xO2sVamoa+ybaaWQlKrBvU98a44Q2fxGez+56u8z6qxkeH/vd19gxjz97dN3jk91krZasXJDBgb6htEyHW60seVzq/C931+FyACW2VIC69WX/23Oe488/R2kZzjvFr1U4MYIx2UuxRuVVXjyaAnq+j33cAQyb8RGVJAC+iYrLNNPJalYjIevvtJhwun4hBn37t6Dp454ngV/jige1Xu9l6u2IZVKkB2hRtPx2RmmS0RAflESBnWjrFMnEaqQQSmTondex1Z/kJwehbYDjgdcoRRdsBxdfSNMu0TXPwJ5iBQmkxmxwWJ0u1F29YZQZTAsegNL/gw0BRuo5LeGGei563PQ0dwHZVgoE3XTaac8RNEJ4dD6STtjPqRFMu5jXkhETBgSs2IxPjaB5sp2JhbmjOILV2J4dAJtjb1uvXDqiFCWWzQ2YmRJoJamlpncFnuPTeaW5Whq8s1jmrIqHc0NcycFOQUJTLAsdJ4asMVsYTHG43tq8NtvPMq24Vf/+gY2Xlg8s8yut0pw9w+fZj8nJqih1xlglQSxHkbz85K+/ovLcdkNm9k+BoKvXfMAa4Jn480dtyI01LnC8ZlmjPBqmjMI7bgOO5or8fePSzEw5v0DvryzF5FJoRgw+881a09qcCRChkKgs87OtKjC5n9efRPhIXKYJ62sQR/lh5inX96WHA9LzX7TEqgb0CNnZTIajrUhfVkimh14SiKjlCxBrrdHj6p5AkujIyaEhSsQFqlAUlYMRsfNbLCHyYyORt9m5Pb9Nrwhd1MeyivnGhw06BHB8ZGIsUyyxEF/dcYl0nNiUbozMJ6I+VQeaMDKi1ayxN3aY81ssB3Vz71HIhMiEZsWg8HuQSZy5k+YmJyPxggZTTbDiYybbJJPF4nQUt01J8xVdN4yj6pn9LrZ+zwiXI7ueYYIQQaN0cH7QggOlSFzRSqGRkwLDBGitrITP7nxcUTFqKEfGoV+aIxtEwn8nXVOHm6/+0u46Y4vsrAbGSJ0z1CyN6kgb71iJXa+fhSHPq6ASCKCvt/A+uhUl7bP8SKRZ+Vfv34VhWszkVmUhECQk5cwY4yoVPIzwhDxBJ7AegZAs723Ow/gX3VvIVWWhA/3+V6VsC4jHgfHhZeZukMpDkbqeAwmLJNo7tPNeEQCjVQkRvJRK8a8qFRxBLUCz0jSoL61D0miIPS2DUKhCkZGdhz6+wyCNEjoGUn9L1RSCQa0/ksMlOkHYRLQgn0+ckUwQjITmTfEFWKJCHkZUajavbBFuqeQhPmkYWSBQRAoaB+tErGg40MeiIEO/+ZMhceoWWlsIIhJj4U1PAxGMm6NEz4lRCsUMqTGhqBqdwUmjBNsQKd8F1mIDJao6JnwilCUEQoEk0Baj+ctC2xsu6gIP//TF2c8Gv+65z0UrEjB1gun1FJ7uwbx1x/+BzWH6mbK0qm7sKNy45/94wac+8W1c56d/krWfuX5A3jkoY/Zz5nZsXj4yW/jTEDPRc84xIBRj9tKH8ffal7F+KQJJvinPLK2UwepyPfMcwlEWC9PR4hWgeruPjT0DiyKIZImU+M8YxwKaoP9ZogQZvMkapt7sTwrnhkiaVkxTKyp7FirYDE02v2gIAmMXhgOroiMd5wEnFyUgqKLVyFhQz6KLl654O9ZmwvdGiLEpMUKsdw/fVAycuMWzRAhslamCzbUyPsQn+k/HRxC4ieZenvSV2Ygf2sRIrOT0K8dZv1XfK3MGhkxobJxCPlbCxGdEsX0Z+QZKYgqyvDYEKEGgeGpUT4ZIsSuD8rxtz++icnJSRzYXYM3XjiISjtDgzyNNYdq5+jjtFZ3sPfn01Lbhbf+tWNGufjBW55C3TH/TLpy8mcb4sVxwbMF8DDNEuZTbSnurXkF+olZN+vIJP3seRv6+QyOjyN9LAZj6hF0mbx7mIRJQpArjcWRWv/nG7giUhKM0OPjqBwMnGR7WUMX1p2ViRMHm7yqjCEXdHq6BglSKepO+J7TQig1KsCuGoRCL32jZrRph9Gmm3Lbd7YBKUUpTK5dJBGj6PzlKPegUqi6upvllhh6h9B83LskZ2rK11ASuKRYR4x6qGFCxyatKAXN5a1sdk+KW4ZB70Nh/s5ToPNWWaUFtIEx6MggiU5NRlXDVA5Nd5eHHjwSTFuZhppK/4S7PnzrODOGD++dqgKqsDNGakuaFxj2ZGxkZ8RgsN8wx/NRfagex949gg+f/QxX/uAivPWvD3H4gxN46OCfoQjz7bmZnRvHvJ5ktMVwY2QBvFHeEsRgHsNfKl/A78r/M8cQIYbMlAHvH89D04AOiZOedV+VS4JQrInBxoQEqHQKHJ2X2b4Y6C0mxOdooFaHBGT9ESo5chQqHNvf6JUhogwJQsKIDs2vfwal1X/ekWDl7P5Gp0ahpcfAZszzadUZkXRWARLX5aGsfEqxUyjULr6sohPaUTPTx/CGzLw4NlhQQmLWJv93Pp5PVHIkU2b1hK6mXqb5kVKUjLGxCUyKRFi2tYDlP3iDv/QtYjPjkXnOiilDJMCwBFIvoKupYHOu3wwRG9SYUj8tu65OmK2MOf6Z415E1G25cPXchHhbsjRJ9d9z40Ps565GLe797iM+i91RjkhKahQKipNw4SXLfFrXUoQbI0uM47oGfPvgvfig+4jDvxsnJ7Am238lbGMCktbS1eE4KyERRTERkAQbUTvagRJdC1JSfPfQeIMZVnwc1IX6wgkkbUuAcl6Wvi9GyOq0WEi7x5hYmTfIgkRQabXoqOmEIlyBegdll95A+Rwh6hCmE1Jw4Upo8lJmElAd0d7Sj/ZW77+bSpWzNuR6/Dmq0Gk81ojUlRnIufIsNA5MoPhz62f+XnDVpjm/+4OEjDivP9tW08WqiyhBtGxfLdQxnt9boepQaBI1EPvBIAlRBqNpkQx8Mjy9oXhzLsr95O1zxqhx9tpef9EylhPkiMayFkRGz1Z4UDiS8l/sIWG07iYtav1Qwv6Hv1yD+x+6AVk53l9zSxUepllCfNB1BHdXvQirO8+HphuyJiVMLkr/hFLd04eokEj0h+ucfm94aBCO6ha67LvEfZCIAMvi5KouwCICDpu0WBOhgsEPUuMp8lBU7vctvmycmERcQQoisxLRq59Ab7/vFUvxKZGsWqO0tB2aZRmoLO9ATnHgW8rXNfcj56wc1O6rFfyZzPx4piuSnhKDiuopg66irg/LvrgJVrMZFVXdTKE2e0shzOMTaDokfN3O6JrupusP+jp0SMlPRKsTqXkyBqNTohEWrWIVO6QPQmqhlcdakJAVj57G7gVls55ApciLBVWQCYVu8Zz1GRCrQzC+CK0EKHeLto+V3C9Pxa8e+y5+f/0DuOirZzMv1DtP7GLLjRmMiE+TY2BaOI08hasuWI6swkQUrM9m5zI2NcpvXXwTk/wvNb9U4J6RJUTTSJd7Q4RKfE06bF1J7eF9h0pqTRazy+8dMTse6DvHhrBstRpBZJGcDKxWbJDFoqPdP7oe1lDfbXuKX0+EhaGyachnQyQ9Lw55K1Og7R5Ce3MfS17smVbsHB+lSggEFPq+mmYdsjcIU5kMlkvReLyJHYOReWMqlRVX1PbNeF0aesehcpKQ6wkZy1OZAeFPOpv7ULApd2aGTSqlBWfnI39LIYLUSvR061Fb1oHGmh7ohoxsQGSfa9Qif0OOTx4SqnBZLIR6RqLTopCyOQeVHTqUV3Wiqr4HqcsTUbghHZo457oT3hKXqkFNXTdr4Gdj3QXFuOnu6xCdGIkf3nMdfvX4d2e8JY3lbUhMjkBGfgKSM6Oh7xvGy3//AP996EOc+Kwao3r/qv9yHMONkSXEZQkbBC/bOFmHZI1/ciaGjSbkhjiuLpCSzLULyobbUbBSAZl0cS/FHFk4NvVq0LLLO9VUR9R2D0Dqh46flZWdKNyYiYQ0z/JxbAN60Zo0xKVEoqmuB9Wlbazp33yo3JFJkC8CMoFhsKyCeBh0Iyi6Yh2aheiqBAVBppCzH0PUoSj+4tmQznOxu4NCV4HIpag61IC8DTlM4dQik7Ey0pqS5gUNCCnEY0/5gXooIlXMKPGGiXH/VMsJ+i43HhxxkBgF5xdAKwIam+aez8bGXpRWdEA7Ms4MEn85R2k9wVEKlqs1Pwx52Y1bccnXNrOf0wsS53igKPm4u6YdrSeaWS4J5YeQIXL/j57CV3JuwZ1fexAHPxCuYMzxHB6mWULs7DkueNkJqxl5uUDbPv98t2w0mKmKzmdNXDzLD3FF5XAnVi5PxeEj/lceJcjMKQiORMRkMGRjgHHQiIZaLXxV8JDLg5CQGokQdTAM5gm0aAeRmZyExs98k8qnBynF1JNTozz6HIk6JaZHodxBc7D5pGTGoGae6FqgaO8xQBEeipHp5EJ7lNSddnUW+5nE61IvWYeaJmFVTm1dQwgpzkJ2Yji0vQZUVHah4NJ1KH9tj6DPk+eisTSAuQtiMepOeB62MwyOorWuG6pIJYYHPGttYKLyVUVgErOdGRwkFT+f5IIEjCuDcaLafT8kkVKGoo0ZMJkt6G8Z8ElbRywRo6FxKnl31K6U1wYJoxG1x1rmeHZU4aFo69I5DX3teeso64ez/qLlXm8bxzXcGFlCtI16lkFvgf9cuhRSVUikKIqKZu5/s8WKSbHZrSFi49hwCwrSU1HZ5D+DJF2mRsaYAp01/egf1KLfzYwqKzcWwQopaku7YHZSKUDLZebEQKSWoqq1BzqS07dbsSHKP94GhUqO8PAQdEslgt3hhatSUV4i7Hhb/diIT4j66/Kz89G4rxrJa7IhmZxE+cdlLExG/U10dpL4njA0rQxaZSftXVevRe6FazDa1Yu2srnHIjYjjuVk2MhelY7KQw0IFL40OyRF0Lw16ag70gizSfh9ahwlYwSLBuVkGO2MEaomyjg7G2VVnbAK1Inp6dGzF/t8cBDyN6Szn3UdQ+gWqs1D/ZdWp6B/xIju6QaPDz34Ea6+Zh3Wrs1glVn2nPelDezcv/vU7plSbXfkrskQtC0c7+DGyBKhydCFOoNnM10rJqdvY+8G0MLUCKjDJdBjBM1jrTBbJnB8yPueNcPqQRauMfmpK2x0I1DZ6n7mm5IZhUmlBOUdfcywSM4Jh9osQUiYHGZMoqO6l/XmyCyMQ8/YKCp6+wEnz8iazj5kp0eiT+Ds3hnUNI9OjVBDpGBVimBDhGis6YJUJmH7tRhMisQYUypZ8iyRuikf4+290Db3Iipcji4/OWni4yNQP12mm3/xWpoeQ6YMgcU0gZraXqRuXg46qzWfVbisJvIHg32eeTXmU32kCXKFHLnrMjFuGEfDPN0WSkq2zLs+KPQQJBb5teuzKygh16bhkbk2Hb0mM0p9KNk1Gs0or5i6GOLsStGdwSYHxYkYE1lRMe0RsVFS0sxeCQnhuPLK1bjo4mKoVLPr/P5dX0ZbXRdK99ait30AybnxrDrKGSQjzwkcXA7+NGbcYsIu7Qm807EfFXrvjICE4GiEjkXjSM0I9GPCM/HX5EShzNLkt1ivjdWKDBws8a0ZWbxSid6REZYXMrS7z+mDmRrTxeVGoaLVdSlkpDqU9d0YGTcJ+/5IFYJKdRjRjfms2Fh3tIWV5ZKgE5G3PJl5bajRV3R8OOvD0ds9hMEBg0cDUN6yZFSXCWzq5wdyi5JQUz73+2SyIORmRzMBLNIz8QeFRYmo3F/vdrn4FA0iw2So3lOJCScKvM5CS0K78E6KJX41CvJWUbJtP8Ki1KwceFgmR/NHxxboX4Rmp2KcPCSLQHiYnCkmx61IRaWLgdxTyJMhNky47HWUkhMLkUqGBoF9m77ylY349ne2zXlvqH8YN194F7qpAaLVitScOLRUdiwI/Zx12Urc/Pevs9AZxzN4194ljMkygaeaPsBbnfsxYvZPpnewWIokSzZ2Hht06CmRBYlRlBYJrW4cMRFyVFqbMel3UwSQiERQd0ejd9Cz/UpWqZGgUKF/aBTN/TpoohRIU4dDZrCifsfCHhRUHqpIVaGlJzB5KplxkTB81oGJce9LLamp3kDrADNAasvbUbgydSYfhB6Q85MfPSE9J44luC4WmmgV+nv912fHGUUFCag4KDz0orIaMTTdXG4+hReuQsWOEq+2I7UgCa0NgW3yJ81IQJJaisZDU6qjNsKLMuc0twsUdPcv35aLmrZ+GKYrgvyFUiXHWKdjZefY1Aio4sJQ7YFy84UXFeOSi5ehrKwNaenR2LRpNkG4uaoD/3vxX1hX4tS8eIioP1ZlB6ISInDJN7bi4hs2QxMf4Zf9OhPRC+xNwz0jp2E45o6KZ9E0EhgJ9Ux5MioqgqAdmp1ZZcWHwaIxoGNsqiw00KwJzcCBY8K8I3EKJaKCQlDdNffBnxCuRufg1MNsY0gs6vfPznaUqmCEJKvQqg2MIWKjKCkGndsbfBK8Xb48BfWV7UjLikVjbbffZrxk4FDn0sVAoZQzefvFIC0hDC0CBedkwUGIVkoQrJCzKhyJLAj6bh2Tws87uwD68UkMN3dguM9zI6pocz4qDjUGNDxijtFMNWak/kdBYliY584KiVpJNfcYGTWxSioS9Wsob/drr6PwGBXCs2NRVx84gzZSJsWQXU+kELUcCZtTMdw5jM5mz8KgdJxIe8QGeUiuvXbDjBT8/veO4w83TCmuRiWE4/t/vhYbLl7uN2XcMxk9N0aWHuVDTfjJsYcxMRlYYSOlJAQSbSoqWodx3ho12kzjaDT4t0upKzQyBfrKJaCJf3p4OKJDFCjRdrFqCxsiK7A2PgEVrVoYza6Ph0wiQf6wEp21/dOGiBKt2sUxrFanxKPx3VqvsnKysmMx0D0InY+5B/OJjFJBN2DwuLGZt5C8e8O0gFkgoWMsN1sw7qCKQigKtRzyiXHE5yWj/FgbsjMiUbPfsZy4K4q2FHjkofEUdbQK+uBQj5Rto+PCEBwkQYMPVVR0yeSflYmG7iGP+/l4Sl5GDOpOtE8Jpm3LRN2YAUOGcUQNgXkxfOXii5fhlv+9mCXhEi/c9y7K9tfh5w99E+F2qqwc3+Bde5cgRsuEx4aIxCxCblUU4ntUgj9jsIwhKL4LmzZOosZShejQKS2HxUBkFSFxIgorNHGIsAajrWsQJY0dWB49q2OSqFQhT61BSWOnW0OEMFks6IieQMKKWAyETC6aIUIcbe1CzoXCRL9sBMuDUFSUyGaz/jZEiLCI0EUzRIjQaS2QQBMdq/LJECFG9OOwqtRorJvytAWHeVeaMuiFN8UT5AKSO+2hZN22pj5oe4eRszzZawMo4+wslDVoA26IELJQGWJzohF9QTqO9PYxQ4QcGe70TYSyfXspXnvt8Mzv1/7vpbjzpR87NEQoL+eZu97Exy/th2kRheXOJHxSmrrrrruYm+uWW24RtPzevXsRFBSEFStW+PK1Zywxcs/ilmKLCPkPhKLxlhPou6EawUbhxVP9piG0jE8lpElEi3PzZYvjEdUQh9ISHU60dmPYTsBJNzSG1LAwrI9LxODAKOp6PPPU9I2MQhwvg8XOu7JYHOzqRubmqXJFd6RnRkMtl6LiqG9aJY6ITYxA0ao0DHqZlLnYPUw8JdJPyYUDWj1Gp8NK40aLVyEUlhAZQIKV3hl41EiuproL0Ynhgj/DymY3ZmJcFYzaRcozohJhU7Qc9bIJNHTOhmTIiI5LjfRbkuw55+TP/E5jmTPZ99ce2IHn7nkbf/2fx/G1op/jqTtfZxU4nFOgtPfw4cN45JFHsGyZsO6DlLxyww034LzzzkNPz+J3aj0TiR1QYrC2HwW/XYnKdX0wSr2bUQyYA5uIR0TL5TA1iNE77HhG2Tow5c3ogONkQyEc6+rCmsJ4VFf4L+tf8HcPD6BwRQLajjuuGpErZcjZkI7Sd8u9LLR236I+SCoRJIjmbwYC7CWwT7L26/rkUozMy0USQnxGDNqbAhvWlMlJadZ770Rsiga9He49hGqNEtEF8SjzIFnUF8jwyV6TjNbxURxpcBxOGlGKoIlXo7/LcYKrULZuzUNsrLDGhn2ds/llQ33DePHed/Hy/e/jmfJ7oImbMuwq6rvw9s4ySIMkiAgLRYQ6dOZ/qshLjA1foHfC8dEYMRgMuP766/Hoo4/izjvvFPSZ733ve7juuusgkUjwxhtvuFzWaDSyl33MiQN80nPMo8PQFT0MPCRDO3xrJ66bGEJ0cDx6jbPJZP5keWQEpMGdiForQ8u73uueCKHWqENYeAiGBn0ru/UUs2US9XIjkjM10Np14mXx8I1paDIYsK+uHcvXp6HxoP+9IgUrUlDmgQ6Jv6BcBVs/nEAz7ueKDpJul6fGQdEziBGd8Gs/LDos4MaIVC716fPNDVpkLEuGcXgMHU19jr0hGzLR3Kf3qGrFF0gWPjQrAsdbXT+v2rVDSE+IBLw0RlLzYmFUiqFMVuP2f7yNO390+Uwiq42RoVFUHqxD1vI0RMSGQRO/0JNE1WxHPymHIi8Bz759GMerXSeEP3Hn9cjP5N16neHVVOKmm27CZZddhvPPP1/Q8k8++SQaGhrwu9/9TnD4h0qBbK/kZO9inEsJq9WMnT1HF+m7SH8kAZkhOcgMyYPCmg6dKRCDtxXnJUbDFFQPvdmAxokGXLAlsHX8+nEjIjL91wvDE0inpC9eCnXsbP5OxqokHOvsxeC0WmWXyIwgP/S3ma/maiARtZNA/CJ2Ke0LgNHTVNONxBXZnssRBxiq/PGF4aExNNR0obNHj6KNmYi2a1inilQga0s2ypu0i3LdUJl63pYMdCkmUeXGELFhn8zuCRlF8agf1aOhox8vfngMXX36GUOkp1+Pp1/agx+c9Rt8MekH+PVV96GxfEoWIMpJae97B2px619fd2uIEEcrA9h6YAng8RX94osvoqSkhIVphFBXV4df/vKX+Oyzz1i+iBBuu+02/OQnP5njGTlTDRKr1QKMvw2r4UH8NS0G36qJw7AHYeyLoyRYrzZALjZDJp6AVEQvE4LoBRMkGIcY4xCBFD/HsdtwDZ5tjUaJlmZ2/kueDBaLYbR7gJA3RKM0oG2scs5ybfJyLM8twomawHhhiPIeLVbkxqC+xjePkTcMDI0gd2My4vUTzOrTGecmXGoHDFizNQs1Ozyv4HBE3jISG+tYVE0RexQBaETnTJdCZ+dK9yf1lZ1YdtEqlH7gXnMkKjkKQ2YxVFEqr0qChSKS+KfklGb35DGLVslRtCoV4hApanuGUC2wPNpXkvNjoQ8V4UizZ6HTGEWoMxFkp2StSERFXz/zUhLpiRr8+cdX4EBpM/770XHsKWlEtEyK8dJZXaKBaWl5TcJCz0hkVgyOTcsHCOFoRSu+esVaD7f6zMEjY6StrQ0333wzduzYAbncfQKVxWJhoZk//OEPyMkR3oUyODiYvc5EmJqidRSwDgGmo7AaHgAsU822NGjBc3mF+FyFMFniLRESfE3zGoB5Xg1yCzhxDaxTluCPw2vgD0SwYk20BprQCbSMtSBBHocgqGEVjaF5tBbtDpwtk5iELLMJ0dpE9OoClzhrUS1ul2CZRIzipDh0dw7isJu8jdKOXsTGh2Gwy/v8mLAoJTQZ0Rg1TyJ/fSbaa7uhHwicgecMX4TZPCE2Vo3GABkjRFubDsGKYBjdVJFE5qagvrobQdIQqLPDmbjeeFcfwuMiEBqhgK5jAJ21naxjsi/9gYT0UvG0+odedL7yz87BcfLUzQtd+BNFWAjiV8TjeFMX4MVlOT7gmac2d00yjndqMTldRrYsJwHXXLgSP/zzK2jvGZzNVzFaUWb3Od20MRLlIEzTX69FyuYs1DtpsDefE9UdmDBbWE4Jx0fRM8r1+MIXvsDyPuwNDlsWMuV52P9tcHAQERERc96bnJxkAy69R0bNueee67c65dMR66QOVsPfAeOBKQNkki5+54mmVohwXf3noDW5fshnhUrwh9QPgElPE/AkuKH0W+gY9/5BJBdLsC0pAjpzJ8s38YZkWRJ2vR8MS4AKMWjv0oxK9AZIFVQVIkNChBoKqQxiK9Da2j8TihFCUXosWj6o8U4HYl06mjoHMWI3cNK4Qsl6YeoQBJOugsWK8ZFxDPUa0E9NygJU6xuXFIHu9sCKyxHFxUko3zdXidTfxCZFoLe8EWYnpZ0F24pRXe84VyQoSDLTfLGoOAH9g+MY7+7HgF2liCcUXbIK5WX+67ocPGGGyTj73MlZlYr+yUlEqUIwajJDTfokx1qQuSYNxwXKrzuCrrLcDamoH9JDP+JdCGhFbDTqT3QINuby1qeyEnsbZ6/KwO3fuQhfv/0Z5om0sSwvEbVN3ciu6kNrWRvOunwVvveX6xCXFg3jmAlXJvxgwbrDUiKhXZmIcbtj54qHf38tlucm4kxCL3D89sgzQpUwZWX2diNw4403Ii8vD7/4xS/mGB0EffH85R966CF88sknePXVV5GeLqzccalCRpl16DeAcYdH3oZnsg/hb91nYXv/rIs/LUQMpUSEcoMFEUEi/C71gBeGCGHBV1PGcXetd+71hNBQZGvG0ThWBV9oM7XjwvMK8f6OwMSs6TEWkx7mP2OE+lpERyBaEYrhoXE0t/Whqcf7bS9v6kHRymS0HBMeZ1ZFhCI2Nw7lDlzsZGt0dw+xl6NQTv0J/8az5XIpcrJjUOaDwJYnWBZJ+8GZp0cRoURnn3Nj074LdHnZVEVVTEIE1BMT0HtxDVI/GH9Cnhp7aqeTneebViYfvDmxKREQJylR0u59eDQpJgx1x4QrB+dvTMOR5tkKtsSYMPzllivxyCt75xgiMZEqVLf3YnxyEsot2bjjD9ewCrTXH/wARz8ux7U/uwLK8FAYBkchkoiQtDkH7XvqoLigAOMdwpOVSyrazjhjRCgeGSMqlQpFRUVz3lMoFNBoNDPvU75HR0cHnn76aeYtmb98TEwMC/HMf/+MZPxdjwwRG0HWLtwa+yY2hV2M3zYCcTIJ7kzbC9FkM6ziNEwiGOJJ983CnLExnD5b7NVni6KB5lH/5Cc0oAKbVi/H3qP+F/4iKvp7IZNJYPKyc61cGoSsOA2CrWK0d+jQ1TiALo8j2c4ZUIiZO95VszAbGcVJ6NaPehXrp/CDjZAQGZLi1AgOkcEiAgsr6Tzsc0JaKcM9QxjWjSyauNpQf2CuEXuio5XosjMq7EnfmI/KUs8ML23nIOKT45C6LB2GgWE0HZsKxwrBMt040V/MryZxhs6LiiWpLAiZG1NwvLUH5nbf9FfilAoI8bPR0Sk4Ow1HGuaW0itDg9GpHcTz7x2Z835klALdTQZmtYe0D+FPX3sQ43aexb9+5xFk//A8WNoHYUkOx7hMDIMiCFUeGCK2vJEbr9rg0WfOFPybtk/VAF1daG1d2JiMMxerRQur/g9eHxYRzDhL/g5eLFiHcWs3M0TY+5PN8DUiqcJRREiLoJs4+TXxw9HVSE/KQlO7/z0kBqMJ6woSUHlc+CASLJOgOD0eY/3jaGrpQ21/4DRLOrVDWHNONmo+ch2uIcNBZ5yAXu/dMapu6EFiZjQ6G3qRFK9G/bxuvjHx4YhOjIBVLEJPjx79TlRhpTIJ8nLiUD4tgx6fFg20B76sl/qOdLcFXoBKP+x4IM5Ym+2xIWKjq20AXdNOqdxtxWxfyC4QQYTBjj60VbYjKknDuv/ah3Qm/CwkN98z4qzqxd6bIIT0ZQnQiidwhHJD/IDVrr+M02XI27dpoSFCBEkkuO/pnTNJrDaowSb7u0iEzor2OYYIEaKU4xBpzgSJgK4+KMhY98JLVFbXiXHTBOQy30qzlyK8Ud7JCs8M/g9g3OnzukaCVmDYuAf+5vX+b+CBBk+SiK1YFhmJSWkTTJP+dZnHyKJQ8lEERsf9nwyZGhGOvjKdIGWTZQWJqOsbYB6RiQaD1x4VTwiVSxHROQa9EwMgLlUDY3CQT+EmaZAYqUmRUJknZwwJV2hi1YhJjmQVHVqtHr09eqSkRcOkH0GPXX5I3roMVFU4FnnzJ8kpGrRXBL7pX3puHBo+LV2gthq1Iod5OQJBfHIkE6szjk8gPFSCmv21UEYooM5LQacfDTClWIQRNzlNscmRaBfo6lJrQqEpjEVZs/+qcmRBEmQr1WiudLFOEZB9FuW1OBEXDA5akN9BeySRS2YMlDiZDNL3K2GY1paJz45DeGEi9gXN/Vx2nAaNXijt/vP2a7CmKAVnCvpA5Ixw/IRpn18MkbGgIgwbDyEQbIlswQMN7iqgrMgPD0eaOghDFi36TLVUDuN3tKY+bDk7Dts/8r/WSYtuEMWZUWhqcP1QUSvlKGnrYtn4lHWxdlUCqg4EXjdgdHwC2WuSoN/uuNRXnRiByirvB/y0hHD0V3SgpUW4u5kSXlnS6zQRGiU6qjvY7N2egUWq3lGrFqf3TXNtD9TRauh7Z/e94IKVKD8RuLwY8pzYoEyLxNXZ6O4YhNRP3ZttiAWEacKiVWjXuillFQF5Z6WjsrcfnX40RIgCTaTLfBHy7mRsSHZqiBCOEk0j1CEYGJv1KnabTMi8rAjJEKFpwoRKlkW/8HMqL6870hs5k4wRoXBj5KTge2nXSNByDBv3IlBoxIcRKs7G6OTCh1ReeBjSw4IwaO5Bv6keDYsgZjoga4VYHA2/tpahPhdKJaIiVQiRSDE2PgHDdE+SuLgwmDCJCYuFzZgM4yZMDs66bo+0dSI/XYPWACttEicau5FXlICO8rkPWXWkAjU+qmMaGnsx7uPANuggXyNEETylvBrA8lAb4kWSsJMEiaEKU80YI/E5Caha5NYCna1Txom/G9WJBFQKS0Nde0oTMqNg0shwpM3/GiVJMeGoPdbu1INJ3qPENQkobfL8u8NUc40RomHcfcizuUeH5UVJmLRY0T9gQOd0GbCQvBFgk8fbudThxsjJwOK7S9loCXAs3mrAl5LNeKplNraZpFCgKEqMxtF6NCxurzUMmvVYV5yOAyd8SFS0AinhYYgNUWDSZEVn7xD6OwzY27FwnR2trmf15K0eVlrZAGUREMf2lTFNMBvYKcRHXXf1ulEk5ydgoNK3WTnleQSC+FQNGloWp5HYyNDiSPtnZ0ejYudsmEaeEANL/eIL59E1R6Wm/jT0RAJUY80i503t0tYl4VhTNya7RwJWKu8scTVYLkX0shhUNnuXOK9wY2Q5Y0A/yl6ERCxCUX4CygV4KSsbujEyZmJ5J5xZFlf56QzDajXBajrMhMsmB3+OyYEbMNl7Eaz6X/u0XrMoGubJwHYFJS6ImhroFBIJLkmJglrRhsbRRpwswpK9y4tQymRYH5uIGLMc3S1DOFHdibLGLvQP+2ZRtfUPIXd1EhaDli4dsrdlMQ0RGuKj8uNxwkdDJJAKqaHqUCwKViu6W/sX56vsFKSLLlyJlpNgiBAKVYjfPU5CwjR6MoDsIH9U1ppkWDNUONo4FcIMBJmJGrQddDyBC1HIEFEUhZo277VPZKS74yOUzHqisQuZlLTtblnLJEprFqfk/XSCe0b8Ld1urgKM+2E1HQAmjgBW/83arFYJRqTFMBipLC3wPSPigg5jW8JqjFg70DC2OPLQrmgxNSFGkwetnb6KM0KCghAdGoqEEBWqm7U4pg3MzX+0owsZyeHoagt81UjdoB7F6iklSEd6Id4gVwQm34LCW4tBVLQK/U2B7ypNVJe2o/iCFWgrbUZTy+I0/3M2AA+NLn6YJgwi5KZoUN8+gLAYFRQCmtr5g3CxFN0OKlcUajlCMsNYnxlf8KcJZZgwoSAnHlV13VNq2g5IigtnoZqNK85sna35cGPED1jNTbCOvgCMvQFYA/OQMkmyoLfoYA5A5YxTrANIDW3E/iH/Jst5yySsWLksCB/sXLg9aWHhUFmkMIwZMTA8hjHTBLqhZ69AYpmchCVGClGHb/LeQhgeMcIc7V9npkQpzEUtloiQHimFNESGiSAZGhpdh2D6egOv+0FoorwzRkgzRC2ZgEkWgrZW4fdsdWU3ijYV4sQh4Zog/kYe6l/3vowqTEYXVsDFxCihEk2gZxQwDBtRfaSJlfcWX5iHw2MGGBfBEGE4KDsOiwyFKEmBlm7dKWU4d/bp2as4Px6VlY5DNj/9xnl45OVFfI6fJvAwjQ9YJ2oxOfB1WPsuAkafCoghMgkVhiSFGDAdh9my+C3g16tPTrdXZ+j/v717D46qvPsA/k32ls1lE5IQyAUSkkiIgQimVHyhgh3FS606VrxUUPrWy4yt7bSj0/5hx7Zvx7a0UFHHYudFLK++ZaYzFG99HWUQQayAAS03k0AghNwg5L7Z7PW883s2u2xC7uzuyeX70TNn92R32Tzn5JzfeZ7f8zzx0oPl8ot+k70LFecuoO5ihwpEoqn6fAuKv5aDeEMsvubyYF7IIGLhJsly4VQ/wh4v8/KSUbG/Ekd3H4XJ4x626ad5uF4XYWIxje0UNj3FBHN8nOrWPFLzrs3FVQtzVTW7OU6/cSLMYR6jomjuTHT3Jm6HSreZ1D7PnOGfSTu7MAO2mwrwSXsbnK6RDX9+xd/NYoK1uW8t4LSMRHgzrai70B622bTDrfHiwMd/SpIV15XmIikhDh0DlPlUxmBkrAOW9fwftNa1gOtfiJQe4zxc8NnhcO2HXnLN46tt86K7DWUlSZdtL0yJ3lT1Aznb1IyUvV/h+HuHYQ1zwBCQk27D2ZPhbZK40GpH8eIRTLwYGwuTxX8RjI0b+s585qzUqPSiEc4x9gQ6XtWKE9XtqB6mhiegYH42vjpSh6++rMWprxpQMG8msnLToAdjGJOOk1OsqPpi4JucMw12lKwsQ2VVM/IXzsKpTAtOd0ZvskVLDOD88Ciadh0LbpuenQxHqglNLeGbU6qtM3xN6fNyM7CoIAumAXohitKibDXa7e03lODwicgPDTCRsJlmEJrmBBzboTl3q/oJaL09JrxnAG/kDyLVW8PTAE2Lzh3mYOK04zBi1hBT90Xf9Dw7cOn8hKK0dHTr3JQ0t9GJr5rakVuai8orHB1zzowUtf9rm9v9ozxqGgoz09Bxpg2dneG/mzrZ2tVnIreBHK9qQfzcPBRn29BuH7pmJN4WnXE/xMWG6ORuWBMvJfo67C41HPv5mosomp+tRr5tiFISbaA3TbjkZKXg+CATGXbbXaiobFYXz+ovamGzGDG/JAsxGYmocfegqV932HBzaoD3pvnI8WhobHAgY1YKLpq9aGsPX0BkMMSgNYzBSE+XC1X1g/fqCcxLs/zrhfiftw5g+eKrwvZvT3QMRvrRfF2AYxs0+5YxTjQXHk5TMbzOg9CdZsd/pJixp2185I2IGs9ppCZfhelGG0zOWFSe0m8/BbgSTKo9PaksD/a2sffSuTpnOk4f9tdGLbp2troQNNW2ou5I5BKIux1u5M9JR23V0F0ju+1uHK8c/qLrHGZG6eGYTbFwuYf/jPgEMy6GKZF3ON39EkYrj5xDRlaKmrW8ofo8couzUDNM+YVPeGqdsnKm4cRB/zQSIyGz+p48dGmqj+K8dDQXJOGCI7zJtKFqXW7Ird/CZbk4WdusclfCKS05EY2d4ctv8gzTzb+0KEutZTj4aclR6nE2QbCZppfma4WvcyO0CzdC61ynayAiun3jpz3xa7bB7xwinbQ5EK/mxYwlVWiu70LlOf0DEfFZnAcFa65HfSKQPXvamD5j8exM1Hx5Kent2KGzOFpegwtRyL+wTb+86WusZIj4sSrIsSHdMbL3z5iZjGg5X3d5DYwMAX/yRCOsydao1oyEhUwIJ5MwXkF33MYzzcg850D6MM124WB3uVVy+ngfvVcS2gdjNhlRNGdG8PnVBZloaYtes9d4N+VrRtQfo+N/oXX+AdCiPJLXINwx2XC5j2C8mG2SPv65fbalnbchdWc8zuyowZzv5qHy7tGNRHnLzKWwmRLh9nl6FzfcWuCxB57A45Bt8tjTHQtzYzYaqmPQ6bjyTPpw+iJBg93bg9xUKwz1ox8MTQbv6j+kerR4DeG5L0lOTUCrjMg6hpwRGc67Yf9x/4Behf6kyaFEa9CoaRlJaG0dPCCXZptoGuqCN1Jz52WhqvzKewTVVjRi3ux5aEYEy0DT0BQyBH84WcOciOx2D96gXVI4EybjpXyf4vwZOH3uIlJTEsL6HSaqKR+MqBwQnx0xCU8OUDwxg3TIl0UOKpleU9Yh29TPNWg97wMq32S0THAYMgCPJJXJhSlwcQpdx4R8t0uP/ef//ttDnw/1uw3+PA51SDOXIDbGBHOsGeZYE9I/sKKlohUF83Mx3ZcG27RUNdOo/3//f/7v5H8UA/9spPIoyRiPJwruQ+xIBjcI0W7vwQN/eBP1LfqN8TAUu+QWxcSgprkNXy/LwfH9o5u92mTR788xXOmmGTmpaBtDs9n0VCtSE0043jvCbpwxFu5hgrmRzOAaDumZKUMGI9E2XFPASIK+jvPha95y1HUA/uFvIsIaZ0aHPTI1xbFhzL8Roc2LM9KS0HSx87J8kQA5N8b1JoUTgxHEGOcAiY+H/ViIsd4DzdcB+NoBrac3aDHKP9h3rQIYOSANiFGv8f9dR/Bve0xey+y3YVP0v0Oc2YjNP1qFju4edDqcaunoDqz92/r8TNbdsu5BT5S6IgZ8fq4eRfnpqK0e+Ui5lW1tao4NT5inhx+JcJ2SZWjwsdROWlou4qtP/KNsJqfb0DWCC25HyIk+kizWyHXVHgvXFR7LJSXZOPavk2H7Pj3SRTUlcknLeVnTcKI6Mvk4V9JMNRC359K+MRhisfTafOw7VB3sSdPfex8fxWOrOE+NYM1IBMXE2gBZKCwsJiOyUm1qGS23xxsMUBxONzw+n9omk+AFJsMLri/b7oPH61V36kO9T3qjyGtdHi+cbg8SLWaYvXLx8MLl9qixGQLLQM0xDpcHeWmJaIpSUmYfvdOnX6ke1+gDqZK8ZBx5tyL4vL25A6XXFeHY2c4hB2FrDJnRNlLyr87C8cPRH99nKD39hmUfDWu8GTWDDMY1Vm0XOpFeaEOz5HSEuUt3fJwJtY2RqwkN902KK+RGov58O575z5tw8EiNOmcsmOtPXg21++BJ3PXNUmSkhS9na6JiMEJTgrTVpibFq2U8kMDF6fbC5XLD6fKqAEUCFne3G45uF3p63Oqi43C4/Y97eh87/D+TfBTJHZCgxidrr6YG45Lnwe1eX3Bb4HXSJdW/Dtnu9cFiMalq48CdYmxsjOoddGkdqwIAWUt3SNkmrw+8Ru4C5bHRYsLs/OmD3n32vxGV96alWrB8zQoY4izwxMTC7vLB4fTg6oXT/P+GfIfYGNW8IHOoyDrJZsXFmmbYOxzoanegq9MBr9ur5keRpGpZwpF/Y7VZ1e/l84W/tkomeJOmObPZCLPFBHNc79ps9G/vXUxmk1oHXm9JsKjgVzV/ysVf/pdy6W0ilf+lvBCyTcpMHsfHmf01Gb36xA4hT0K3B5pc/dv7/CDIbIuTxml0J5pU7Z5RjgWDQQ0qZ+h9bOxtEpF94w0ct1rg2NQuPVbr3uNT02AyGFRwH/xden/fwPcMPg75fv3LI9hc3PvYIMdzbIz6roE5dYK/TsjnBchEeKoMe8tSilfN5yPHZ++iyt3fE1+VhazzslLx3//1XXT3uJE4wIR8P1q9XHWrJwYjRLqQE5As42nmTglQhLrwR2nQskiSIEgtwWBMHvsvcpdtkwug179dLjbWBIuaA0aCr8BnSdAm+RoSSHpcXnhlHXju9qpgyBPY5vaoz5KRWi1xZlgk0FCP/YvJbJwUZUzDS5aJDQdxXWkei7AXa0aISJE72MnEf3cst6v+dPMr/SyD0aAWC5h0SBRuk+vsQ0RERBMOgxEiIiLSFYMRIiIi0hWDESIiItIVgxEiIiLSFYMRIiIi0hWDESIiItLVhBhnJDCCY0dH5KdSJyIiovAIXLeHmwdoQgQjnZ3+OSpmzZql91chIiKiMVzHk5OTB/15jBbuaQsjQOYpqK+vR1JSEodQHkU0KsFbbW0tbDZO1qcH7gN9sfxZ/lNZxzi5BkiIIYFIVlZWcHqFCVszIr9ATk6O3l9jQpKDkMEI98FUxr8Blv9UZhsH14ChakQCmMBKREREumIwQkRERLpiMDJJWSwWPPfcc2pN3AdTEf8GWP5TmWWCXQMmRAIrERERTV6sGSEiIiJdMRghIiIiXTEYISIiIl0xGCEiIiJdMRghIiIiXTEYmUQOHTqEm2++GSkpKUhLS8Pjjz+Orq6uQV/vdrvxs5/9DAsWLEBCQoIarvfhhx9WQ+9T5MtfSGe2X/7yl6rsrVYrVqxYgWPHjrH4x6CyshJ33XUX0tPT1YiTS5cuxUcffTTke2T//PCHP1QjPEv5FxcX489//jPLP0rlL06cOIE777xTjdIpU34sWbIEZ8+e5T6IUvkHPPHEE2q6lRdeeAF6YDAySUgAcdNNN6GwsBD79+/H+++/ry5qa9euHfQ93d3d6gL6i1/8Qq23b9+uDmg5MVDky1+sW7cOGzZswMsvv4yDBw9i5syZKqAJTA5JI/etb30LHo8Hu3btQnl5ORYuXIg77rgDjY2Ng77nJz/5idpXb7zxhrooyvOnnnoKb731Fos+CuV/6tQpLFu2DPPmzcPu3bvx5ZdfqvNRXFwcyz8K5R+wY8cOdd6SmyLdyDgjNPG9+uqrWkZGhub1eoPbDh8+LGPIaFVVVSP+nAMHDqj31NTUROibTk5jKX+fz6fNnDlT+93vfhfc1tPToyUnJ2ubNm2KyveeLC5cuKDKes+ePcFtHR0datvOnTsHfV9JSYn261//us+2a6+9Vnv22Wcj+n0nm7GW//3336+tXr06St9y8rowxvIX586d07Kzs7WjR49qubm52p/+9CdND6wZmSScTifMZnOfWRGl2ll88sknI/6c9vZ2VVUnTQ0U2fI/ffq0umtZuXJlcJuMlrh8+XJ8+umnLP5RkGYxaWLZunUr7Ha7ukN89dVXMWPGDJSVlQ36Prkrf/vtt1FXV6eazKRaW2oHb7nlFpZ/hMtfZmN/7733MHfuXFXeGRkZuO6669RdOkXn+Jd9sGbNGjzzzDMoKSmBrnQJgSjsJKo1Go3aunXrNKfTqbW0tGj33HOPioyff/75EX2Gw+HQysrKtIceeoh7KArlv2/fPvXzurq6Ptsfe+wxbeXKldwHoyR3eHL8xsTEaAaDQcvKylK1U0ORffXwww+r/SD7z2w2a1u3bmXZR6H8GxoaVLnHx8drGzZsUK/97W9/q96/e/du7oMoHP9ybrr55ptVLa1gzQgNSpIbpaZiqOXzzz9XUe1f//pXrF+/HvHx8Sr3ID8/X0XGBoNh2BKWZNYHHnhARcqvvPIK90gUy18+o98NwmXbpqqRlr+U2ZNPPqnurvfu3YsDBw6oZD5pM29oaBj081988UV89tlnqnZE2tll/8nn7Ny5M6q/51QsfznXCHmd5OpIjsPPf/5z9Z5NmzZF+TedeuVfXl6OjRs34vXXXx8X5xvOTTPONTc3q2UoeXl5fRK+mpqaVO8YOcAkq3rbtm1YtWrVkIHIfffdh+rqapX8JFV+FPnyl/IuKChQycOLFi0KbpeTiDSTSXAz1Y20/Pft26eau1pbW1WZB1x11VX4/ve/ry5y/TkcDtWD4x//+IdK/gt49NFHce7cOZXYOtVFsvxdLpf6O5HJ3J599tngdunhJ02b8plTXXMEy196zfz0pz/t07Ts9XrV81mzZuHMmTOIJmNU/zUaNemmJctoyN24eO2119RFUnpnDBeIVFVVqfZyBiLRK/85c+aoGpQPP/wwGIzICfrjjz/G73//+1H9m1O9/KVnmAg9sQaeB+7ABzr2Zen/HqnJGuw9U00ky19yrBYvXoyKioo+2yVnJzc394q+92SRHsHyl1wR6QEYSnJ3ZPv3vvc9RN1o26Vo/HrppZe08vJyraKiQnv55Zc1q9Wqbdy4sc9rioqKtO3bt6vHbrdbu/POO7WcnBztiy++UG24gUXa0imy5S+kJ430npFtR44c0R588EEtMzNTZcLT6HoTpKWlqTwdOZZlHzz99NOayWRSzwcr/+XLl6seNR999JFWXV2tbdmyRYuLi9NeeeUVFn8Uyl8ey2v+8pe/qF5n8jck+Q579+5l+Ueh/PvTM2eEwcgksmbNGi01NVUl4ZWWlg6YiCfxp5xwxenTp9XzgRY5OVNky19I4thzzz2nuvhaLBbthhtuUEEJjd7BgwdV4q/sg6SkJG3JkiXaP//5zyHLXwLvtWvXqmQ/CULkZL1+/fpgQh9FtvzF5s2btcLCQlX+11xzjbZjxw4WexTLf7wEI8wZISIiIl1xnBEiIiLSFYMRIiIi0hWDESIiItIVgxEiIiLSFYMRIiIi0hWDESIiItIVgxEiIiLSFYMRIiKiKWrPnj349re/jaysLDWf1o4dO0b9GTKe2h//+EfMnTsXFotFzW3z/PPPj+ozODcNERHRFGW323HNNdeo+Wi+853vjOkzfvzjH+ODDz5QAcmCBQvQ3t4+7AR//XEEViIiIoLUjMgs1nfffXewNGTyTplV+c0330RbWxvmz5+vJvJcsWKF+vmJEydQWlqKo0ePoqioaMylyGYaIiIiGpDUmOzbtw/btm3Dv//9b6xatQq33nqrmuldvPPOO8jPz8e7776rZiLPy8vDo48+ipaWFowGgxEiIiK6zKlTp/C3v/0Nf//73/GNb3wDBQUFePrpp7Fs2TJs2bJFvaa6uho1NTXqNVu3bsXrr7+O8vJy3HvvvRgN5owQERHRZQ4dOqSSUyUxNZTT6URaWpp67PP51HMJRAKv27x5M8rKylBRUTHiphsGI0RERHQZCTQMBoOq6ZB1qMTERLXOzMyE0WjsE7AUFxer9dmzZxmMEBER0dgtWrQIXq8X58+fV800A1m6dCk8Ho9q0pFmHFFZWanWubm5I/632JuGiIhoiurq6sLJkyeDwceGDRtw4403IjU1FbNnz8bq1atVAuv69evVz6XL7q5du1QX3ttvv13VnixevFjVlLzwwgvq+Q9+8APYbDbV3XekGIwQERFNUbt371bBR3+PPPKISkZ1u934zW9+o3JC6urqVK7I9ddfj1/96lcqIBH19fV46qmnVPCRkJCA2267TQUvEtCMFIMRIiIi0hW79hIREZGuGIwQERGRrhiMEBERka4YjBAREZGuGIwQERGRrhiMEBERka4YjBAREZGuGIwQERGRrhiMEBERka4YjBAREZGuGIwQERER9PT/2joiBEZdyiQAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = counties.plot(shape.moment_of_inertia(counties, ref_pt=va_centroid))\n", "va_centroid.plot(ax=ax, color=\"red\")\n", "plt.title(\"Virginia Counties MOI about Virginia Centroid\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the MOI is lower for counties close to the centroid, and higher for counties farther away. In physical terms, you can think about the as swinging on a string about the centroid. The farther away they are, the more rotational force they have, and the higher the moment of inertia. In human geography, this can be used as a measure of population access to a point of interest.\n", "\n", "The `esda.shape` module also has a function to quickly calculate the global moment of inertia for all shapes in a collection. It is more efficient that manually running a dissolve and calculating the MOI on the dissolved shape." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.58717002611019" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "shape.moment_of_inertia_global(counties, normalize=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of particular interest is the ability to calculate the moment of inertia for unevenly distributed populations (or other quantities of interest). In this case, the polygons must be assigned to *regions*, and the moment of inertia is calculated for each region, not each polygon in the collection. Region IDs can be passed in as an array of the same length as the collection (each polygon must be assigned to a region) or as the name of a column of region IDs in the geodataframe.\n", "\n", "In order to demonstrate this, we will assign each county to an [economic region](https://www.vedp.org/regions). We will also add 2020 populations for each county. Since the built-in Virginia dataset is from 2000, we will remove 3 independent cities that merged with their surrounding counties between 2000 and 2020." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Remove these independent cities\n", "cities_to_remove = [\"Bedford City\", \"Clifton Forge\", \"South Boston\"]\n", "counties_2020 = counties.copy()[~counties[\"NAME\"].isin(cities_to_remove)]\n", "\n", "# Function to remove holes\n", "def remove_holes(geom):\n", " if isinstance(geom, shapely.geometry.Polygon):\n", " return shapely.geometry.Polygon(geom.exterior)\n", " elif isinstance(geom, shapely.geometry.MultiPolygon):\n", " return shapely.geometry.MultiPolygon([shapely.geometry.Polygon(p.exterior) for p in geom.geoms])\n", " else:\n", " return geom\n", "\n", "# Boolean mask for rows to modify\n", "mask = counties_2020[\"NAME\"].isin([\"Bedford\", \"Alleghany\", \"Halifax\"])\n", "\n", "# Apply transformation only to rows that match the mask\n", "counties_2020.loc[mask, \"geometry\"] = counties_2020.loc[mask, \"geometry\"].apply(remove_holes)\n", "\n", "# Reindex the GeoDataFrame\n", "counties_2020.reset_index(drop=True, inplace=True)\n", "\n", "regions = ['Region 8', 'Region 7', 'Region 8', 'Region 8', 'Region 8', 'Region 7', 'Region 8', 'Region 9', 'Region 7', 'Region 7', 'Region 7', 'Region 7', 'Region 9', 'Region 7', 'Region 8', 'Region 8', 'Region 7', 'Region 7', 'Region 9', 'Region 9', 'Region 6', 'Region 8', 'Region 8', 'Region 9', 'Region 8', 'Region 9', 'Region 6', 'Region 6', 'Region 6', 'Region 6', 'Region 9', 'Region 8', 'Region 6', 'Region 8', 'Region 6', 'Region 9', 'Region 6', 'Region 8', 'Region 8', 'Region 9', 'Region 9', 'Region 5', 'Region 6', 'Region 4', 'Region 9', 'Region 6', 'Region 2', 'Region 6', 'Region 4', 'Region 6', 'Region 2', 'Region 2', 'Region 8', 'Region 2', 'Region 3', 'Region 6', 'Region 3', 'Region 8', 'Region 4', 'Region 4', 'Region 2', 'Region 4', 'Region 2', 'Region 4', 'Region 6', 'Region 4', 'Region 2', 'Region 5', 'Region 1', 'Region 6', 'Region 3', 'Region 4', 'Region 2', 'Region 2', 'Region 5', 'Region 2', 'Region 2', 'Region 3', 'Region 5', 'Region 2', 'Region 1', 'Region 4', 'Region 2', 'Region 4', 'Region 2', 'Region 1', 'Region 1', 'Region 3', 'Region 4', 'Region 5', 'Region 4', 'Region 3', 'Region 4', 'Region 4', 'Region 2', 'Region 5', 'Region 2', 'Region 1', 'Region 5', 'Region 2', 'Region 5', 'Region 1', 'Region 3', 'Region 2', 'Region 3', 'Region 4', 'Region 5', 'Region 1', 'Region 3', 'Region 3', 'Region 1', 'Region 5', 'Region 5', 'Region 1', 'Region 5', 'Region 1', 'Region 1', 'Region 5', 'Region 4', 'Region 3', 'Region 1', 'Region 1', 'Region 3', 'Region 5', 'Region 3', 'Region 5', 'Region 1', 'Region 4', 'Region 3', 'Region 1', 'Region 5', 'Region 3', 'Region 1']\n", "populations = [93355, 427082, 15060, 27981, 44630, 1144474, 41104, 73935, 484625, 235463, 14593, 24478, 7409, 156788, 84739, 23750, 16923, 42674, 53563, 13931, 160520, 2265, 77713, 20850, 51492, 37208, 143876, 27468, 28383, 18683, 113683, 4123, 31541, 25765, 10604, 39012, 9047, 22574, 22578, 45863, 14777, 33326, 12085, 111652, 27764, 6676, 14962, 18232, 25613, 10876, 31385, 5671, 7420, 33875, 16914, 10774, 9745, 6612, 334434, 31074, 4881, 24139, 80254, 227595, 39228, 371610, 16424, 12115, 19857, 8517, 13342, 6686, 16610, 79255, 80046, 55398, 96793, 21932, 70590, 99159, 39933, 42873, 98677, 22944, 25477, 6211, 13920, 15597, 18210, 15564, 28083, 11475, 6552, 33365, 33771, 184774, 54958, 35727, 12556, 16505, 39444, 25635, 60148, 15560, 11990, 10793, 137334, 28219, 33811, 15868, 29585, 17988, 235037, 3620, 457066, 29158, 53913, 96638, 11304, 30431, 22042, 21504, 17606, 251153, 50365, 97299, 15323, 5633, 13584, 6698, 8212, 42239, 17024]\n", "\n", "counties_2020[\"region\"] = regions\n", "counties_2020[\"population\"] = populations" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Economic Regions of Virginia')" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counties_2020.plot(\"region\")\n", "plt.title(\"Economic Regions of Virginia\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to calculate the (unweighted) moment of inertia for each economic region, we pass either the list of region identifiers or the column name to the `moment_of_inertia_regions` function." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Region 1 0.571706\n", "Region 2 0.747063\n", "Region 3 0.539548\n", "Region 4 0.793634\n", "Region 5 0.323609\n", "Region 6 0.642518\n", "Region 7 0.744163\n", "Region 8 0.477483\n", "Region 9 0.672687\n", "dtype: float64" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "shape.moment_of_inertia_regions(counties_2020, normalize=True, regions=\"region\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to calculate the mass moment of inertia, we pass in an array-like or column name of weights, which in this case represents the population of each county. We demonstrate the version here which normalizes by comparing with a reference circle having the same mass (population) and area as the shape." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Region 1 0.622823\n", "Region 2 0.988687\n", "Region 3 0.549320\n", "Region 4 2.192231\n", "Region 5 0.984835\n", "Region 6 0.568993\n", "Region 7 0.950173\n", "Region 8 0.529857\n", "Region 9 0.796767\n", "dtype: float64" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "shape.moment_of_inertia_regions(counties_2020, normalize=True, regions=\"region\", weights=\"population\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see above, it *is* possible for the normalized mass moment of inertia to attain a value greater than one. The population (mass) of the reference circle is evenly distributed throughout its area, i.e., it is of uniform density. The shapes we are calculating NMMI for have varying density, and if a shape's population is concentrated near its centroid, it will be *more* compact than the reference circle." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Conclusion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many more shape measures in the `esda.shape` module that are useful in a large variety of applications. The ones detailed here are the most common ones encountered in literatures on redistricting, which is only one special area where shape measurements are useful. For more information on shape measures, a good introductory conceptual paper on how shape is measured in geography is by [Shlomo Angel et al. (2010)](https://doi.org/10.1111/j.1541-0064.2009.00304.x) . " ] } ], "metadata": { "kernelspec": { "display_name": "esda", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.2" } }, "nbformat": 4, "nbformat_minor": 4 }