{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Experimental Variogram\n", "\n", "In this notebook, we compute the experimental variogram for a sample area in Greenland to quantify the topographic spatial relationships. Variograms are useful for examining spatial continuity, performing kriging interpolations, and generating stochastic realizations.\n", "\n", "We use the SciKit-GStat package for computing variograms. See the documentation (https://scikit-gstat.readthedocs.io/en/latest/) for detailed information on this package." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# load dependencies\n", "import numpy as np\n", "import pandas as pd\n", "import skgstat as skg\n", "from sklearn.preprocessing import QuantileTransformer\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", "import gstatsim as gs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load and plot data\n", "\n", "Load in bed topography measurements from sample area in Greenland. We use radar bed picks from CReSIS. The coordinates are polar stereographic coordinates with units of meters." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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XYBed
0-220370.0-1650000.0238.31
1-220370.0-1650200.0237.84
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3-220370.0-1650400.0224.55
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" ], "text/plain": [ " X Y Bed\n", "0 -220370.0 -1650000.0 238.31\n", "1 -220370.0 -1650200.0 237.84\n", "2 -220370.0 -1650300.0 234.70\n", "3 -220370.0 -1650400.0 224.55\n", "4 -220370.0 -1650600.0 212.69" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_bed = pd.read_csv('data/greenland_test_data.csv')\n", "\n", "# remove erroneously high values due to bad bed picks\n", "df_bed = df_bed[df_bed['Bed'] <= 700]\n", "df_bed.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The data length is 487814\n" ] } ], "source": [ "print(f'The data length is {len(df_bed)}')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hide-input": true, "tags": [ "remove_cell_tags='{\"remove_cell\"}'" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot data\n", "fig = plt.figure(figsize = (5,5))\n", "ax = plt.gca()\n", "im = ax.scatter(df_bed['X'], df_bed['Y'], c=df_bed['Bed'], vmin=-400, vmax=600, \n", " marker='.', s=0.5, cmap='gist_earth')\n", "plt.title('Subglacial topography data')\n", "plt.xlabel('X [m]'); plt.ylabel('Y [m]')\n", "plt.locator_params(nbins=5)\n", "plt.axis('scaled')\n", "\n", "# make colorbar\n", "divider = make_axes_locatable(ax)\n", "cax = divider.append_axes('right', size='5%', pad=0.1)\n", "cbar = plt.colorbar(im, ticks=np.linspace(-400, 600, 11), cax=cax)\n", "cbar.set_label(\"Bed elevation [m]\", rotation=270, labelpad=15)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Grid data to the desired simulation resolution. This is important because the resolution of the data affects the spatial statistics. We recommend gridding the data to the resolution at which you will be performing the interpolation." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# grid data to 1000 m resolution\n", "res = 1000 \n", "df_grid, grid_matrix, rows, cols = gs.Gridding.grid_data(df_bed, 'X', 'Y', 'Bed', res)\n", "\n", "# plot gridded bed\n", "fig = plt.figure(figsize = (5,5))\n", "ax = plt.gca()\n", "im = ax.imshow(grid_matrix, cmap='gist_earth', vmin=-400, vmax=600, \n", " interpolation='none', origin='upper')\n", "plt.title('Gridded topography')\n", "plt.xlabel('X [px]'); plt.ylabel('Y [px]')\n", "\n", "# make color bar\n", "divider = make_axes_locatable(ax)\n", "cax = divider.append_axes('right', size='5%', pad=0.1)\n", "cbar = plt.colorbar(im, ticks=np.linspace(-400, 600, 11), cax=cax)\n", "cbar.set_label(\"Bed elevation [m]\", rotation=270, labelpad=15)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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XYSumCountZ
2-298000.0-1800000.040895.4700128.0319.495859
7-293000.0-1800000.05920.788044.0134.563364
9-291000.0-1800000.09127.220044.0207.436818
10-290000.0-1800000.0900.39926.0150.066533
12-288000.0-1800000.069893.3900212.0329.685802
\n", "
" ], "text/plain": [ " X Y Sum Count Z\n", "2 -298000.0 -1800000.0 40895.4700 128.0 319.495859\n", "7 -293000.0 -1800000.0 5920.7880 44.0 134.563364\n", "9 -291000.0 -1800000.0 9127.2200 44.0 207.436818\n", "10 -290000.0 -1800000.0 900.3992 6.0 150.066533\n", "12 -288000.0 -1800000.0 69893.3900 212.0 329.685802" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# remove nans\n", "df_grid = df_grid[df_grid['Z'].isnull() == False]\n", "df_grid.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute normal score transformation\n", "\n", "Many geostatistical methods require Gaussian assumptions, so we need to perform a normal score transformation to convert to a standard Gaussian distribution (mean = 0, standard deviaton = 1, Gaussian shape). After performing a geostatistical analysis such as kriging, the data is back-transformed to it's original distribution." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# normal score transformation\n", "data = df_grid['Z'].values.reshape(-1,1)\n", "nst_trans = QuantileTransformer(n_quantiles=500, output_distribution='normal').fit(data)\n", "df_grid['Nbed'] = nst_trans.transform(data) " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot original bed histogram\n", "plt.subplot(121)\n", "plt.hist(df_grid['Z'], facecolor='red', bins=50, alpha=0.2, edgecolor='black')\n", "plt.xlim([-700,700]); \n", "plt.xlabel('Elevation [m]'); plt.ylabel('Frequency'); plt.title('Raw bed elevation')\n", "plt.grid(True)\n", "\n", "# plot normal score bed histogram (with weights)\n", "plt.subplot(122)\n", "plt.hist(df_grid['Nbed'], facecolor='red', bins=50, alpha=0.2, edgecolor='black')\n", "plt.xlim([-3.5,3.5]); \n", "plt.xlabel('Normalized elevation'); plt.ylabel('Frequency'); plt.title('Normalized elevation')\n", "plt.grid(True)\n", "plt.subplots_adjust(left=0.0, bottom=0.0, right=1.8, top=1.0, wspace=0.2, hspace=0.3)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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k4ITOpZy38qS6j6UIhXNXbuQ3W2/hQHaAX9y9GTvwMHWFeEInali88OL1s4avPpaMmiCmj2Gp9bkgADRVpSUWRUrJl2+8jJc847msaF08r7bpaAs4WVStMcM6G6amk7aitMbjDbVXNQtNNVCMZEPt09EEhqahJyx8X8HQ6rugClXBs8sos7QTQoAQCEUFGWLoSSwjDUAys5xyaQjHKaDqkYY+Q5MFQjbdO8cdhw7l6L+9TMcJGa77r39ZkGMeyOYolA1+ec8DxKMenoxjRQ9ie7VoIK2OBdU7flngYL9C3yVFutL1Rat6gc+4cxAIuWbrfvww4J+e/dZ5tS1Xh/BlFdseJxJpravfuSg6JWxxkFG7sQvKocIQ12fHWKft4wUNtB8qDRKKMtmiTSih7LiYuj7v9r5dgTAkcByYY6nFtysgIel3Iyq17/3UM9/Pof5buG/LN8lVBpEybPr2n0Sezka/+auahs50krAK7bHGZo3T8eFLXsNbL3gu0WiJVEyiqC6vPOmFfOIF767L4AMk/T7c4e20Jeu/ZquKStJKEDNMFNWmPTn/xeDNjsathQqu2thsfDbSlsVzulX+cmlj7p2E2UHFjRHRextqn7HaCQKNuKEREToRY/4GH0CzYghFndW1c4SWVRtJr1iPG5YJFf+RYxgZKkFIqTTI737/ZsrlxsJXmzxBJmf6TRmG44ggDAmqEt9buC/TNATxSICmlxFKgKq6nNC1ggtWzqvuwqOwcxNUR/YTBP7cOz8WKQmlRIoAVXEJpTfvpn22w+5SmUCG9fc7BwJYGw+Imo2d81BKKp5Jo19ZKANkqON74Ae1c1RX+9BFKCpyHmVP9ViCuL4Uzy8hVUnfnuvpXHIGilBwQomUPmEYMDh0N+1tG0mlljb2oZ7mlOw82/vuoCXaiiIUlnefskBHbrp3jjsKVGg9V8df7CzYMT913ZfZO3qYkBhO6KFqVfL2REPHmphYhxDtZLOwcmV9bQMZUnIqqGoZw/Ao1jGGgXHIlTKMVyr0LHDUpghC1gcnozqNuXc8P8vKVJGI0tjsuOgPY0bGyMvlBAIczydmzj1rP8KBgd9SnDjMxsUZzPgz5tw/CBxsJQdegV2bf4RTzbFy40t47Qu+y+03f4xymGPXrss5fPh6nnXhjLmHxzU3bfsFd+3+LenJdZS3/8X3MPUnHmTQjNM/DulpTZLOaKxe/MTVHQ5P9PPBaz9BTI8RMQxMYZGORpiwAzoTjYU9nnhyFwXbpndR/e4nXdXoiHXjhWUCBTrj859F9iZXkC25fOq33+aC1afx9vNfXnf/M6HoJqoeRY/Ul3twhI5YJ2kjyrL0kobab2hZxJ2RKGanhuPpxOuM07cSXZQKA5jRlnntr+oRRDyOFCpVu4hI1NrpmsWatS9lePAeRkceImnMP/nueOAP267kxp2/IWlESeomEc1kVe/ppGMdGNoCLYA3F3KPP4pOhcAqMWpnn/Cx+vIDDBaHSZhxbL+C76sojo/juxTs4twHmIbBfJ6K5pIv2tTrwfaDgOFcFaG4CM1kuFCYd9v+cZtcSaPijXLngQcX1OiHvodn5wnDxuQIqm6RKD7VamPfmXDzbIyq7B4q4fghju9jaPP369t2Fl/aeG55XvsHoUuBcaqhSl7YdFezhL6Poml09ZxBIr6I7L77cMU442PbybSuPe4WdkMZMprdQcRqwfOr+KHH1v57yJaHqVRVQjOGic+ithM4adXzF7TvptE/znCrUB42KEWf+OkJCUAErOlYwV+e+CI+eM1/EYY+EOI34pMHREKiZyBU6leVkIAfKgipoQidIKjDkCg2QvEIQw2/nnbzIJQeE+4eNBq7PbdDnxHPJeM15pJLqoIeU8cws4RaiKS+f/pxHLKKizPPdqrUWK2cS9keJls9yJrWs3HzecxMBqEoSEICPaAaZrnnjs+w4aS30LPo3EY+2jHLnoN/5J4Hv49QTFy/SgDYgU5CVfmrM/6eNd0nYTs5OtLLF7bjZnLW8UcmGsMKI/TM81Z9Jr5/55VsH9lNVI+yJLWYk3rXs6F7FYoQ7BndR2ussbDHVatbmaiUac3UbyB1RaUr3o4TVHCBzkTnvNtefMIpaLvuZ6g4Rm+qu+6+Z0PVLFQrihlr7JynrAyWFqE72Zg7JGG2EVejLE4myPtg6fP35wMEVitVxUDV5xd9pOoGqdYVWEE7jAVAgFBVvHIZ1TQxIy2kWleCUCkWDmIYCy998VRkIruTfbt+jR5NUvVK6KpJKrkMP3BxQ4+M1UFfvp/VXZtIRVtJRRc2dBhANhdyjz/6+vP0by6z1W1U8VGSLRf48b2/wfbLKGrIodwIMTPC117xIf7t1z/g3tIQg7n5u1am0h+O43W6jBaLdLfVZwy8IGD/sIOqBqi6xaFsft5t33TOpZyxdD1v+sFX2DvS2CL0TPheBSfI4Vcam6mXqlmSIqBaHmqovZfLEs1J9k1U8cKQiuNgROfv3rl1eC97ssOcXBqhYx7rCkJR6T39OQCs4KWEvk/oeYSOQ+i66PE4Z5z/IR688xsU7T1UC0MELatRtfouRk91XLuIqpkEgYNAoe/ADWRHHyTUJSEQFZLu9CI2bnjjnMdaSJpG/zgjnYyAAslkY5EkVz5wE5//w4+JGRYyELzv4ldw5tJHaiInoiqKapOM1J9RC5BptegvC5Kx+senKIJk3MP3JW6oEDPqu1tIWAaqVqVOrbe5x6UZSEWg1BExM5W4GccUgoTR2MAKlkafXiUT9SgHYd0ZuaXyWgazNrroaKh/oaqEjo09MYZiRdAnM5NNEUO4gj0PXM6Bbddw3ou+9LTx7eeGdrP1j/+NSBg41XE030SJWqiBwsrVLyLVsRbbnqCjfe5oqAWluZB7/GGZGqalkmmtLxpASskVW65n90gfqlBIRVJEg4CLV59HZErSTkvExNAk8ToTgI6QiFrEojp6nYYJarIQiYiK4wmCqiBq1HfhMDSNiClINHjBmgkhFFTdRNMa8+mrio6hag2H7PmaSV4NsUwNGQSoSn2G1RBJHKe1LqnqqRyR4fCrFVQkuf3bSS1dSyTRhYYBioqqmlCnXtJTjUo1y+4DfyAeacPJjyKEgqZF8HULTYmgWUn8coWW1nVkWufWtjpaNI3+cUY2yNN+vqTcnqur3USlwBev/xGqEiA0n4tOuIC3n/eqx+3XogxwSW8BPWzMfXR4ZIJKxWM0X6K3pb6wUj8MmLBH8b0Ivh9nIFdfBFG2PE4ocoyW6y/CMhuBW0UUXIJKY26jbHmUUdchXmjMvXPv2CBXjJQIXJVQSqqug1mHK2XPzjxjB6B/uMjaxtSdka6DDAMKfbsIPQcr3cbidc+he9X53PHzDxBSpbYUf+wa/t0H/sj2PddgqiqGI0iEFnFjKWdc+vEne2hTkEjZNPrHFd2ZGNFImaWd9Z2eiB7BlN3ENZNLT1rNizdNX0cmFmnDRxBrUL9mSVcLE3aZ9lT9kgWaopKJtFCVkvEJwS23HOS0q/+D6770LjKJuWfJbfE0liHprUPSeT7oRoKW5DrMSGMLue2xdlp0g2XpxhaYM/pK3EoXcSNFGEoiRn13eevWQ7+XZ3F347HiejKN5TpIAuz8GJpVc1VpusXKM/6aamGUO3/+QVac9lI6Vp7ZcD9/LirVMW669cMU1DT7xw+zMZ0hkBo+sKznPFpi3Wgln/YlC5VJuzBI2TT6xx1u4CD0LLY//1nnaKHIzTt2ky+YSMvi78796xn3LXsV7CDgYHY/upFk5Twkmh/d3sYTAV4DIZ+hDCnbPtWSSiUnGfMr5IoVbHd+cgxu4BJQxPEbW4SeESmJG90oamM+fSl90ppA8asNtS/bUCx2I6IefhjgBQFmHXH6oT5OtHMYP2w8i1tRVWKdPdjjw2i6he86KIaJoqp0rz6XoT23EwYeubF9KPEobZ0bG+7raBGGPiP992BZreTzB/C8MgUnwA8cPLeIJ3TcMCSRWMSalZc82cOdERkuvNTIU4Wm0Z8G18/RHs9iaPN3FXz8F9dw/dYd+FXwtNl/MA+OV7kzC4NbfoTY8mO+9ppfotVRNMPTxjHjJSoNGLgglJSqAqGH3PAf/48XfeAbhAGUq/NLitLDKhdlIrRFFnYm5AVlDpSuR9UtlvHSuttLv0yrrmLRmNH1lEOkWnYhfRMFiR96wPzXO05LVOnqEsTE/JKzZiPS1ouZbAc/xC0UsDI1F54T5LH1An1DN3Bo8DrOec5/EI01tnB8tBg8eCs7Nv8ATVoEgY2lq6yLt/PXF30GQzMQKHiBTcRMP9lDnQVJ2JzpH18sTnayOpHk9PYV826zvLuFu/frnLxqOScumj1WfFG6B0WNoOkRokYEVdS3ILu0pYd81aG1ARVQQ1Xp1NsQQtCdSbNhQws7Dvi0zzPmPxFpocVK0JOau6xjPShalJJhNuzesaxWVDVCJNqYe2dFSwdtEQVLjxJKiNW5wN2W7KFYGiBhPfG4cT0WJ1CqhEFA6NhkBw+SWr6Gtu5NjI9sw3FyuHYBfZ45AUcLL3D55S3/jquYbB0/xPJEF1bg0KFpJDIrsTAItZD27pOJRx5Ze9KPgXoB8iiICj5VaBr9aVC8Is+Km2TC+cWwHxzv53B+BN9weNkFz+A562e/7R4qjGJ7LgeKBVRFJZABmpj/V3Ewm2eiHJKvVOhM1hmn7wfs2lZACIEXBOSsfkRvjoJbIRWbO9zRdYtY2Hj2aF39zoXjV3mwPETEK/O8BtpXnBx5t0y01NhCbtUepcsqkwtKhNLH8W10df7unVJ5BBlUqboFnqhikx6Nomgalf4+3EqBwKnglYvE2no4+fz3cutV7yOwSxTG95Ju+/PH7u8b6yMVSTAwfohDo1sZCQRDdpmwMkJMEZQNFSNiccZp7ziq4wjCgMHcAQwjhZSyYS2rxyKbIZvHI0pNIleZO0pi18h+/u7nH8SkC82Q6PrcPxZlMhzQdRNoilZ32UJdC1EUD1VtJIpD4GUlAolAYBg2mlZmvtUBPQR9tkvVbExCYiYkgqznEVMbm2GN+5K7iiVWxhwa8RSrKAggoaoECih1VDID6HMD+qoO1QWaIKqGQbSnB2d/AbecI/Afcb+FBgR+yP23fonWzo2cdN57FqbTebC5bwfv+sVnSJppSk6Bda02CSvDB5/7L7RGW5EyIPBKdGTqlH9tgN8/8FP+uPWXPFTSCaTk6jd9n8gC3UU0Z/rHGboRR9EsjHncqqesKC1WhLZIkqgOS1rm9rG2x9owVJOoESFmRFDqTLbpyUQZK2vEG0hk0jWFjngSIUBTFbqSGSpeZd7uDEuPoWgRktGFLYxuaCaakcJq0D0SNxNU0UlG2hpqn4q2YKgGMT1OiERX6stD6Ip1MDi+j4S5cC4X1bRQdI0w9LFzo0jfI7FoBS0dJ5LP7sWt5AnDkK33fIc1m16FXmei3VxIKdm+65cEgUfFHsc2WtmbHSJqGHQl0xRsi5akxYq21azvProJVJ5XYcfWH2PF2imVhwgUHbeSw9JNVrX2oqoWRgPlQ6enOdM/7ihVxyh4FbTSwKz7hTKkVBnitFSZ1kSRt77mS/M6/sFslrKt4fglJiqlusslDle2EWgjZCtZOpP1ORMcN2DX3TUlSs8L6Mv3UXLzTFQKpCJzG6xSdRwR2BRLg3X1OxcFp8T9E2NES40thI6Uhsk5ZQ7mDjXUfqw0hBe4FLwsoQyx/Sq6Nn8j0umPc05ERzgTQGPyztPhFLM41RzquIUzPka8dznrT30T2b4H2HbjNymyl4kxm47eU2nvPmlB+gx8FyFUPK/Ejj1X1fTlga0Vn+Gqi4eCZbXyndf8+4L0Nxuub6OpBtmx7Qz23Qq6gRtUKQUhZanQoUn+cv15nL72xQvXqWzO9I87omYKK1RJ6ulZ9/unaz/KvuGtXJA2aY3Mvu9UkkYHnhtDF3FMTa87rT4TizBc9klH6i9bqKkCs1pCCFGTZDBbmKjY85ZjMI04BT8koS7srDKiRVDCBDGtwZm+3kmpkkZv0OC2RdLEFIWCVPBlgFbnrDEetmFXBrC0dEP9zziutacRyXSQP7CzVlB9kkzPelad+WpGD97LxOgOrDl+q/PFLme565oPYVnteJUi8VQEoWgsP+HFnGS2UnTK9FddNnWvW5D+ZmNH35388rbPsyTZgXSLdAmVdGIZXYvOQqomqmqRLY9ywpLzF7hnSU355+lJ0+hPi4KBgpgjqsZ2fEIJlqqSsOa/oKoqKmFgQSgQUqdO9zGaKtBUWbffGWrp/lFNIBRRS/0PdITU65AdULEluHKhfzoCgYEiGpOmEELF9RIQNubT1RSNiKISBuBTv09fCA3NN6j7y5wDPRIjtXgNE/sfgtBn555fs2TRuUQjLXSvOpfc4A60wOTQ8GZaZJnu9vV19xEGPvmDO1BMk3J+cHKmW5PtNhQTTY+wctmzH56cnDzbwRpESsnde68jZSWQThZNTzE0sX9yq0AIFSEUotFOlix51sPtFjaGbHIs0EzOOt4Yr2TZ5pbpKgxy6iz7bd/WzsC4zsfe/SY2LZ3/DHO8MoymF6h6JlXPJgwlSh1Rm+OVUQLpMF6doCs5f2lkAE1T2Xvgy0BtQXnbnTpj+VbGXmbTEpv7wjVYKnL3SJxBt7FiJzNR9cp4TJB37IbaD2ZtJoa6ORBpTIzMcSaIqwKnUiaUIY7vYGrzD9vMq/2UMnmq/jiJBXTvQK3gyu7ib7AJcYohFTvLKRvfAMCE2sdEOsvOPZdjHorzmku+VffxS0MHGd1xF25QwXNLaDKGiskZf/2xhy9iR1vkbXBiP1fc/U1WxuLEhU8llBT9gBBItZzIC09/G0j5ZxKbk033zvGGbmUYDwQt1vSLlQ/29fGuH/2YqGoR1U06U+mHBbPmQ3eyF12J8dz1p7G6owdNrS9Of21rD35QoKMBPf4wDDnnnHNQVZWbb76ZDjtDPuvSGpufq6g9liGiRelNLqyefsKK0xNP0BFrbIG4pzVGIhGwalFjbifDaqOKSiaSwZEhVh0GH0BanVTyfWjmE6vBMB2aFmH1CS+nUBrgUP/tpCKPXOjXrn0FAwO34/TdTioxdy0BP3C57I//gqlq+HaWFaluVCcg5XcSa+3BiGXwgjLJ9mWPcicdDQ5PHOA/fv8h4rFe+vMDLNctpNXJqq4TUPQEAQoj5TFOX31JLdjhzyg5tNDJWUKIxcAPgE5qNxPfklJ+eUE7mSdNoz8NJbfKjnIBrfj4WPTDEwe4//AeJsoVbDegVHaozFPCAOC+g/s5lM1RsQ1OWXwCl26sX3fEcXNYVHH9+mfFnuexZcsDCCEIgoCDW3L07S/zu9/+kYuedTrd3bMb86rnUnZ9suVS3X3POq7AQwQFXK8xQ1P1qojIOHlvrKH2E06eQafKmCfxQg8v9DGYf3TUeGWcYbuC4zUmAzEXy1dfSv+BGxk9eBvV0hh9YztZ1LaW1tZ1xGKdHOq7Abwctx+4i9MWn/yoHAMpJaXRgyimRa5wkLH8YWKaiYZHpTKE5oBW9rHaOlh00sVHZfwAO0d2oSkajpOlI9bO/uEHyNs5sm5I0S7QHTMo+h6nbfrbozaG+XFUZvo+8D4p5X1CiARwrxDiOinltoXuaC6aRn8ayp5NwYOc82hjHsqQf7nmXRRsjVg6w7NWn8zbz3k7va3peR137+gwb/3fbxHRNUBS9RpzkRzIGQzkE5Tc+mcjUiqEzmsRQiCloDjaj5PfxWtf8znOOeccbr311lnbV21JKdvBBPVnA8+GF/iMuj4VGjOabljGMPKEItdQ+4GKzf6KT4iKHyoEdYbstSsgDANdzn8CUC89Sy8g3bqG717/Ecq7r+Ftl/4X6VgHVd/jwVKVA2PD7Nn5ad5+zt/ysk1/8XC7crafvTf/lLKWpeiNEciQahjylud+npiZJAwDpOdjRtNHbex5O88/XPleFlkmHTqsj8epBi4nRCKs7FzHhSe/BUtViRj1BycsNFIuvE9fSjkIDE4+LwohtgO9QNPoPxXIWB0YShsd0TUPv7dlYCvfvuNHxK0ODC2kK7mYS9efO2+DD5CJxEhZMZIRnQk7T3cDKpkA3ckljFeqZCL1K10ahsrqjUtRFIGmKbz5LRfyx+ti3P/gQ6xaNfcSXWsiSiaus7JnYSUA4maMzlgbnfHGtGQ64mnSUZ2VrY217012omkmMT2NlGBp9S0IxyPdlAsDWEdRU0YIQSzRjTR6cVz4t+u+wKUnPo8LV57Hsq5TsGyXocPb6Iy3Ml4c4P/u+QbLMovxK1liBkTjvegyzSoNWhK9ZBK9jxy8sXpBs1J2Snzh+n8nHelh18gwGauFqBVjcTpFb0svnlsmbpc4acXFdCcb1KM+Khxdn74QYhm19fA7j1ons9A0+tMwXKgwMNTLbq12tR8r5/jTrlvYOrQDRandLl/zpv8mOk/53cHCCEkzwa6RQbJFn0CZwBd5RsqNuSL2jxTI5jWy5RLtifri9F0vYEiWIAQ/CPnwR17G2ecs4bnPuYldO+cWK8vZ4xDfxai/sO6dqlsmEhbxqiF9uWF6Ux11rZPkq2PE9Sz56oGG+h8rDaHICiMFkyAMqXo2Rh0qm3Z+GCoOTjVHPHk0Ykoe4Y+HJsjZFQxzCITg2Wsu4tLT3sbPNv8QSykxWjzMPj/HQHYnhj2AEjhU0UgoSzj7mR/njKM0LsctIWWI71fR9Tg7hx/kgYH78MND5G0XRfUoOx7//YqvH6URLBwNzPTbhBD3THn9LSnl41bVhRBx4JfAe6SUCyxVOz+aRn8a4qaKZhSJRV3Gyjle+u33kDB1wkDnVSe/mPNXnjZvg3/PoQf4wNWfJq71Mlq0QbSjoAOSiN5YBmGQS1EaqWA0MD1TVEHnWSZC1MI2AZKZDsz0elJdm+ZsnzJ1lsSrrEwt8ExIaByqqGjovOqyf+Y9F76Gl500fT2C6WgxoywxTZbNI8FsOjJmhJSm4RsOXhigzVeXYhJFMUAyWd3q6PLVl3+QB/u2cPl9X2NZ3CJfyfLpq95KqxVntWWyeeeVHFIFi02dpV0nsXjRhagS4omFXXyfipQhv/jDe5CBiykkeSKMVyboMUwWZTo478RXk7RixM2Fze84OjQUpz8mpTxtth2EEDo1g/8jKeWvGh3dE6Vp9KfBMkwipgIIvn3Tn+hJdpCMWAwWJCf3buCEjtWzth8sDPPz+6+iK95JX24AQ9VpicUIQo1AS9KajDFYyhHTG6vn2hJPYo4UiDRQblFVFLp6YwghUCdn0vGYSSLdSVfX3NFAumqRsQySDbiWZsNQDTQ1jUoEXfGI1Fk20dAjpPUI8TryJaYSN5PENQNPieCHIZpS37k1zTSqYqLW6RZqhCWZLhQq/GmrhS7gNw/+HEuPYepx4oqCLXUMEZLWJcloF53tG47KOKQMuWP7L9E0i/HiELoWRQoVQ1HImO0ECHw94ITOdZyzfLbg56ceC+3eEbXb1u8A26WUX1zQg9dJ0+hPw3C+QLmic//BEW5z+/nsy/6GZ61dj5wUKZNSPvKcWhKLIhSkDJHAb7b/gau3/g4FjRAXRfXpbFnC91/3GQD+9YrL2TFQoG+80tD4Bio5PNNjpFSkuyVdV1sv8CmZNXmJQIYoKPT156hUPfbsm9vdNFga54HxkGzQmGtqJgpVm4GRDCoGXgCHs/XJMYyVRhmwy1i5/ob6HysN44c+BWdShsGrYNYhwxBOVDCrMfxyAdINDWFWjiRLHfndlStjtKuSA2M7qQzejyEUQgT/9tLvcdtP3ounO3jCxp4mAu2JjaE2DiEUJkqD3LH9F0ih4oc+PWbtQvmS5/8PRoO1ip8KyKNTLvFc4HXAg0KI+yff+xcp5W8WuqO5aBr9aWiJpPErJkYkTqFc5B+/dyXdndcyFhzipat93NBhoJLDjHaQLY2w1LJYkuqmXBpktydwpIEQAZeuew6r2lZQ9UucueT0h4/fnYmgqjZd6cb+MbpbI4xWs7QnG5FhUGlNqDUZhslEl+7uJLqlsHjp3LPktN5ONd9NdMoi90LQmUzz4Re8kvv3HebyO+6j1axvraIl2oKlKHTEGxNca4m2oAJJI44b+ph6fa6zQkowViqwdh7y1PXiBR6v+/FbcN0Yh4fjrO7x8bwxTkoJWow4vu9gqhqt0RaEonDCBX9LYWw/h/ZcR1ybO3Z/vvz0po+TndhHl64Qmm0M5/sxVJ14pJ21Sy+gLdaGpmjHtMEHQNYi9Rb0kFLewlOkuHHT6E9DEEqcik6gqrgVFamGOEEtvNIPXPzQQyJxfIcgDAhDH993CZH4gU+AghAhq9qW8qL1j1eH90MbVXMIwsbkiX3pIVSPoJGSblISChsBD9+lhFKCJvGZe3YTSkk5n6GcWFjftRCCF206g6FhB6+i4vn1zbRCGWIoAqXBGVoQBqhC4AcBQRg8PLOeL0WqjOtFArkwktNSSsYPPYBimkxU+6h6FVxXBeI4Qa2AeiBDLFXDUmri3EfCTFsXbwIpMLZH8MtFhg/dScfiM+paGD/C7sHNBGFAvjpOoTJOGHpIqeEFLlJIBGBqBmed8JIF+dxPDZo1co87cnYFPSFY1Jvi1//8ThRFoKsqju9iarUYey/w0VUDP/QRSDTVwA8chFBRhIITeDOKmJX9AazoMAVvpKHxZYs+nmeSr9osrrNtKEMCbR9wxG+pkgsrZM7V8BbPnew1NlGheMCn3z46gQd5r3bu82598frCL7EqYpCSjcX5T1TzlIOAsmcjkbi+U5c2+30TwxwslDitMkH7E62iAlQmBth3x+WUY0XK5FhquGCM87M3fpWoYeIHPoIQTTU4OH6YN/34QyQiHu+bbC8CSER7GR66i/7+G4gmukhkltY1Bser8oMbP0Uoa8uaiqLhhz4vv/DTdKaX4AcuQiiodZT6PFZoyjAcZ6xui7Kh3ePZq0xi1iMzWk2NTHluTP595BSqSnTK9pkXAhdnuonoGt0NVvpZ3t5K0a7QFq/flaCpGl3xHoQQD9flXdSRoLVTY93quSUEOpMJIr7J0gbdKHOxossimXBZ2lGfeyURaSOhxehMNBYumYp1EgqdtNlJICXROhfZW5OLOJQ7TLpBPf/SwGH8ahW/WiRb2k5hbA/ReBfx1CrsSImLOg2iVoakVfuNaVMkEtrjHUTULqJKnJd+86N87IWvZ13XMlJjaymUHMrFQ2jzXOB2vTI33v4p4kYLbmmQ3ngrCJ1Eahmt8W6qXpmO9BIURcVQnvplD5s8nqbRnwYZ5Llo0X46zaOTHThaHsENq+Ts+ZVjfCxDhXFKbpmSU38RcD8MGCnW+j2i4190KygtBbLB3It+uXyV4V1l9jJed9/zYdwdRI/vJ+/WdxcUOCXivk9QaWxcw+UxBu0Knt2CF0hs30WvI05/qDhMzi1TdIvzbuPbNgiQvodXLhG6DqHrkB/ZhecU6Ww/Gd1M0H3qRbMqW5Ycl6HxCJWoixMU2TV8mE29K1h8+iXc/afryckJ9o1uY2nHBuLWozOp7XIW36siPR89kiCXO0C+eJhQHQfPJiECFFReee576y72c6xSC9NouneOK7paTuCFZ32ERKw+Bcv5YqkuCd1GE43JMARhzRsf1ul3BiaVCp2aDMPDPv0AITxgbgmBUILQgKOkxWVqVeJmCV2tT1fIJSSHh96gT90PBX6oIRQXIYOHz818yTkq47aOM09bEfo+hX27av2EIULVAEF61XpOPnEjjl3A1BMo86ho1p1K86u3v4vLt1zBtdv+hKI9kjh36XkfZs/QFv77ps+wtHU1/3TJ5x/V9u7ffxzpBkTIgKbhuUVSqk40mmbD+W9F0eMoinrcGPwjNN07xxmh5xBXUxwY2cXVt/+Oc1pasYwk46UhxpUYju/juAUS8W6GS8OoQHeih2ypn78+4x2ko7O7SRYnu0ibkYZUMgEWt7QwXi6TitZ/e60pGp2JDoRQHnbvZCIJ4mYERZi856c/5iMv+gtaZlDdbElHaGmNsmL5wqtJAixKdJKxDLrj9bm+TDOJ1CysWGPula5EO1E9gmXGkVIhote3UN2V7GRP9gApa3pNonv2/J5DIw/SZai0GctRClXiiSUoqoZuxFHNmnHXE0mEEOhWfUlmy9raWdfRxW37Fdz8du56cJzTN7wWy0jQnl6JqcfwpM4Hf/0Z1qVN4mYUuzrGokgcFAfLaMeMt1ItjaCraVq6TiSVXlHXGJ4+NGf6xx3liX723vJTfuTuYswbZ6mdwUPD9h3uLlVQkBiKQlGq2L6NIQQZM4YfOGwbuIfTll5A2a8S0SKEMiAIfSJ6lCCwAYFTGWaxLqhWsw2Nb//YGAW7ylixSGeivmQkL/Toz9di7P3QR1d1hop58hXBQ33jlJ0R7j98mItOmL4y0nCuSNVyOJhrbOxzjq8yyipDxbfrywMoVMbIuWUihcbi9LOlfixRZqJay1+ouFVSkfm7dw5P9FNxK4yWxljRWlswdSYXhb3A4dYdV+Db44QRA8XPoTuCUf9eFM3kzFd8sqExPxbpDLMx4eJMbGb7BJy87uUIoTKQP8yoXeBA6TAlZy/VvEdM1TAFiFgUqQSc/qwPE7HSCzKOpwPNylnHGaElmDAHeUHXiRg9Z7MslkTXIhQqo5yvpwhkQNnOk4y2k7fzCCRbD9zM9oG7uX7zd7ni3svYURonY6UI/SotmsL57YvAzZH3JRURIUQ2rCgYNyMgBXGzARkGoaKTQSAeLkhx5vLVfOrFr+bym+/jtl37SagzH7elzSK9OmTRqqMjN9ASSZDSFNJ1znRNI44vJVqDWc4RPY4XhhiqiRfKR0kTz4dlyQjZfEj75B1SGAb846/eRBi4qNInaSWxXY9LTnkT3cmVyHIFoeno1sLF9V+88a9Z1LqK+7f+L8gQIRS+/IcPsW9kB5aiEJBipGrTb42SsCK8++y/oyPRDmHQNPiPohmyedwhFY2qUaUlGuOclRc+/H4nM9cFLZUGODSyhYgRJ0BDqxRImAlcRUEXAbqegMBGCz10RUMIhe0j2xgs5+krlOhNpyk4OfzAoyWymP6JPFFDJ2FFGC4N0RHPoKoKl657DjHTxNB09DqLr0Atc9jS4gjEwyUBFaHw3BOfwfX37UX4CoY+88/C1FSSnSrpzNH56eiaRUTV0OvUsFEUDYSKOssFazZiugVCwdJNtECi1llApMWKkTFVDg/cRaHQx/bxwyhCBUVDkxC3MvhhyOLuM0hE0nAUgp+iZoKTll3Itl2/IAg89u26Gl2GGJqBJhSESCKkgi80FC3CM5Y/c+EH8TRAAlI0Z/rHFQfyw1w+PMqK4ADnzLPNRRtewUUbXjHrPoX8QW677SNsqRSZ8Fyu2noVJVen6FqkomW8cDIBzFlGyQlRFB9TDwiooii1BcoLVpzDSHGYgBLZcoGedH1B4X4YMJitzfCDMESZIiw27OTRUjBSnjkGP1sdxUzsJh/OP0qlHkZLI4x7HmPl+uQDcpUsec9jpDTcWMdujg3RKA9VBkHUL8OwmCKRZIR9+3/LtqrHgUoJe3Kh/fLXX1l3Ja7GkcSDIlooOLj7Wno1QWfC5Dnn/Ruf/NNVKOoQpnBwnKPjnnva8JTInT06NI3+NCQj7dihgRb4fO3KN3Jy0Ek5ZrDbPkBZSyJDHy0oo0Y6yZbHeN+lXyQZmXthM5FczOrVL8Mf28fo/ls4a9XzycR66CuUWJROU3BzeL5La2QJfRN5IoZO0rIYLg1xw56bsP0Kr//JqzGMU4joCu3x+guZaIpKWyyFQDyuGPrKRSF7JsbpaZl5lt0WyxAxBL11XmzmSzTahicFUau+qXDCagVURio5Pnj5a3nv8z5Le3L+EgTpaBsChZ5oBjcM5pWY9cD1X8bOj5I0lpBQDZzAYtXyZ7Ip1sn2iT6SkRYMzTzqBt93K9xzzb+hxCxKzhAp0UIgA1Q/oFvvwqFMzGjj7859KStaehgc+TUtsfRRHdOxjhQNRMYdIzSN/jQ4gUvWCcGv4gVVfK9ESRX4gUPBm0AlICJCcqURSm6JBw7fxfKW5XjOOL4aQ1V0RssjJKJtOL5DCpdkpA3fy5OMLcUZ2Y+OZGPXBk5adv6c45FS8vtdf8QLbTxpI50yTuDh+PWHfIYypOg4KAhCKTk03s9gYRRfVim4feixPrxg5qxWN3DwZImy11iOwVxUnSqVwMeus+ygFzh4oY9tF6i6ZSpufXr/jl9FEhKGLjL0H1c5q+IUODzyIKaZQhEKrjNBuTBI6DiEiofiOcSrCmt6zyPVtoKjqSnplgr4ThXfKaNZUSq5QdxqHpQqoXQxXANdKhCqxPU4Uc+AMGRt51KWZtr41rVXE8FnsP922jtPQvszKIM2eerQNPrTkCtJirll7Isu5yuveD2G0BCKju2X0bUI9+z7E9fc910G/RKBb/OLu7/J+mQKXbrsLDs4Eiqhz4gX0KEpnJmM0x2Jg++gOSojYYAhwPPnp7IphOCHr/k6oQxxfJu3//iL5Ow8lQbqsYYyRGqDhJNqoe+94rNkK6PoRoWuqEaL5eAFMxvMI31W6pRJmC9Zp8i47zHu1Oc+KrplCkGALh0UwPbqUzAtOhWqYcjhikMgA9zQY6opvP7+77Lz8G04EiKKQkQVLNcSEPHYdP5fMPrgXVQZRA2P/r/UyJZb8aoFnGqOUISEvkM6tgrViLLyor+uGXEpCXyXrb//Oq6bw/cqmKSxjBhvfcE32b/nWh7c/C2Wr3ohq0942VEf8zFH071zfNGRyBBRU4S+wd/970/5witfRWcyTnwydntd72lsH7iXEyMdDBWHSWsay9M9YA9htRoomsVAcZhNViuuV6bHVOhO9eKUh6iMHKJD0RmXPlft+D1X7L6JbHmCDa2LmahMMFCBRakuDuX6iOgR1nSs5O/P/duHi7bEzRjL2tspeUXaGnDv6IpGT/KIDIPKK095Pg/070QqRUzhcHhiJ7/f+gv2jDzIq05/6+Pat0QyJMw4ccPk/Vf+Pe991gfpSS1cpah0vItQMUnVmRgXi7ThiSi6mSR0ckTn4W6bSleym4geYUkyiReGRPUoD+y6mgMDd+EL0BSDmB5hSes6YlaKwBmnK94LgUMs1c1YXCUshSjm/NYBwtDnpru+SCzazumb3jjrvlKGbL356wipIByFRHwxim4SjS1CjyWwS1lUVSOS6cKKPOJ204wI0XQnYeBy6N7f0LJ4A51rz8Iy4sTjXQjVYDS3g+zdn+eMU99TWwxvUsuSbrp3ji/GCmXGxwWBP07Zc9g7MkJn8pF4+JZ4J29+1kfqPm65MMCdhz7MmBJS9W3uHdwGQiGQEuGMUnBchmyDwcIgJbemJ9+X6+f5JzyTlJUmCAOqbonB4iEqwSg7R/ahCZVspUhEiaGrGqO5Ih2ZBI7vs6j18X53Lww4nK0gqC3qvvKUS3jlKZcA8JU/fISh0OFAdjfZ8si0Rr/gFCg5RUYLHl5QYUv/vUT1CAU7T8JM4wQuXmDTkejCbMCXfTg/zMFyhYE6deBHSjkenHBIRseoeCWylQkWp5fMu325OkYUjwnfRg19shN72Nd3C9nCYXwgZcRIKQGnLj2P5YvPe1z7bHEHeXs3vc6ziTJ7vVc/cBkZ38PQ6APoWvRxRt/3qtjOBFIo6FoEuzzKWP8WDCWBpaTRiUIYsuyMl6FHZg/79apFCELs3AgTciuda8+qfV5nnIqs4ub2Ekofz6tgmgtb7P6YpjnTP74wzQArkcO0dDzFwdAXJmY3luzhtIv+le1brmDHvht4/amv56xlZzFenaAr3objVil6AS3RFPuzB/nY7z+LH5Z456/egVAiKNLHVAJsbxFhqPKvv/5P4noL42WHwuEuFF+hXPBJt5lUXJdb/+MfaU082igIBKGbnPxRP/qXndZMMprGC055C2t7T5n2M6hCIwxVhNBQheDa+77Hrzf/gErgkg81XL9KUlM5bclZvPeiD9d9jpZFLDbETBZZ9YVstpkaG5OS1kiMshvQWmcpyiMSxasjFpoMuPfuf8dSY7TqGps2vZXW9Eqq9jidbSdO2z6vBWRVB0+Z21pcd8/X2NV3OxIwp0kCuufuzzM+sYcKIUktAV4VEVMIRIn1p78DK96KDII5DT7A2me+gcLIPg7dfQ1Mmb2uXvFCWjKr2XrHN/C9CgrHl8zCXMim0T++SEYiJOOSlpiOKNskIwsXfZFsWUEi0YuDwdKWlSxrWcYylj1uv9ZYCytbl5MwDUbLh0lHOvBDl8Av4gdp/LAmn9Cd6GH/2BidPe2YwuRwX45EWqHsKvzXzT9icWoFB8cKBHmNjlSC/QNjpKMpBPDRq37Fys4IRTfPP1zwSlpibcT1KMPju7BUlbZVz33cuGJGjKieoCXaigwtemJpVNVkuDRCh9VOwS6gSYe1HevnfU72DD3I3fuuJ25EKDsFWo0IsTpnnZl4B0vTHaTNOIXy/BLfBke3svvQjUg1gu0WsTQTQ4+hEmBZUeKxHmw7S2/HRkwzTSoxczRQLNJKVjcx9en77e+/jbHxHYx7Hp5no6smZqSVtmTtbuS67VeTLQ2RkC4ZFDTVwkCiqlFC38cw4xh6nGTnirp08Y1oknjrIoSmEYqAHbd9lxWnvBzDStDRtoH9ZhsOeXZu+TG9y59Jpn3tvI/99EU+6gL5dKNp9KdhrDKAEtmNrxoY0SrZ6gBMY5gb5VB2gkI5wmB+YsZ9IrrFt14xfSnN1/zwH3Bljo9c8o+s63x8vd6Lv/xeQr/MH3fvQjoDFIoh5QEwVR3b9UgsVUFIhgoPkukbxQ0cLl1/LrnSAIQOWw/fwp6h+1i/9JloqoaUEj8IMTSV/twY+bLChG7wvVd/C0N74pm5f9h6OXuHH8JSFEIU3NBntFyfymZropt3XfKf3HTbJ8m5IU51hDDZ+zihsFCG+KGPAmzZdSX9ow9RDSURTSMqJDsKY4Qy5K8u+lx99XbLI6SDEM8eh9Sjqxz4vsPOXZczUR5jxPNRFIMwdDn3hJewZvG5+IHD5fddRpSQXtNkQzSF6rvEHQ3MEkIGpJ1aUfPAd1A1AzlZ6EVR9TkvAtVKlry9D9XrJ/Rd0l3r6Fx2JkJRcCZG8aXD8OE78ZwSyZblqGp9d0lPR5oz/eOM3ngLy0yD9miavC1Z1KCI10y0xS0UrUprA3r4AGkrxVBhdEZxr8+/9O2MlCaoeiXaY10M58vIqkYmFuXgSJZv334jQsDfP+9CfrPjSgaL/Xzk2n9gRaoTx/cpBCAdwXO/9mbMcDVVOySfh7UrPCbsftKRCi3GBO/92St558X/xtquTU/kdPCy09/G7uEHiOlR9gxv47a9vydu1qcpNDqxl6tu/DCulsKxXfbe+gU6Myv4m4serWvz6f/7F/qzuzglFiERyaAIwRnrXoZiF+k/cAOLIwa+DDDrvJi1qCuRfpWo8WihuIHh+7nprs8TM9OA4Oz1r6KU3c3A0P08+NBl7Nz5MzyvQIsexQk8Ltz0OnqTvQROHjXU0K0ElcowQ5tvQioBN17995iRDJ5dQrgBXcvP4YQzZ18ITrevZu0Zf0Nx8AC5gZ0Mbr6e7K7NrH/+O9j4zHeRG97B/h3XULD7+MMf/o5zz/0U8fjClVls8tSiafSnQSDoMDQyuoEVmg2VmZsNTQVV9VAbPK4iFIRQmKn5yYsfP/s/gh8EfPeOmxFC8IrTz+SOvuvIVkFRFFB0SqFkwg8eHpuqiNo2QlShIoRCzHAxNR87gH3DD2I7RfqLw3QlunC8KgNlm/ZYJyOFPKYB6UiE0fIAzzvhEmLG4y907cmehxOpxib18MM6fcxCCAQCVwpGvYC0ruB4Fe7b/WsUPYUnA/pLWUpOsSZnLMRkIRzB8s6TqGT3kg814oaC38CdvS4sImEaMWXcuwbuIZvdCUAgJQGCqCKRQiMtNPJQ06qmJgOhCIVNyy/GfExiWBh4DN5/PaHwa54HoUz+JgWVygQ79/+eVUsvmrGClVAUuleej6wEVEeGCaVHGNQyvDOda1FUjYPbrgVF8DRWFJ4/guZC7vFGwZ7Ak5KKUyKQIcXqzG6YRpBeliWWxHEbK/gxUijheSrj5SLdyfpCG4MwZHS4/PDz/3zphwlkCEhUodKfH+K1//s+YobCn/7heyiKgpQ17X5NUdg7so1v//HDhL6NAty940omfJ9x36NVjzDuBhyqqGhhGxXPRterxC2PkBKKovDiDS+ddXy7clm2FH02FcZ4fIzMzLSlV/DGv/g+77zy/9FfqXJKXFAsDXPzA/9Ln+Mx4XuMeh6WZuAGHhc997OsaFuFlAGKorFz6F4CI6TkVpBI/MBFryP6KHA8NNUicGr5C2EYcPktn0EFdEVhU+ATlYJ9e36FKixQBYsKbSiqzul/9RUQClJOr/mjqDpnvuRTtVBCGSKEyljfZrbe+nUOlLZjP3QfsUgri7pmTwnr2XghrStO4r6rPoXiPyK1kWpbyQWv+Bo33fIhAjfAdnLH9Uy/pr1zbPj0hRAFmCx5PeVtarbdlFI+bvbUNPrTkI62o6smipmkYueIRRrTvZ+JRclFJA2TrvjsoX0zsbI9je2P0Z5oIE5fVelKphACNKU2Y9TEI4YmE8kQU7vpjLQ+UgpSPFIzpS3eQdKM0ZpcTDLRS1skhaIYHCgOsSjRTcktc7Do0JNYTN9EFssM8dxRtg7cyjUP3MRVW+4gW66wvCNOrjpCUgtY37IErzxMeySKDFR6LJO7DtzETfv+RMmp8upTXsVfrn/hnJ9NUTTO7lrB7fYQUT2KZcTwvQJnrjgPy2rhQGmU7kQ3BafA0tbltbsDUfuMSqQFWyhEjBRu6PPD695POtFDrjyCEIKWaDul8iBJK4mhGoRujjazm9C3OeOCDxFNd+JVClz3wFeJ7UnhVYZZnmwj8EF3NUw1AW4J6StErQ48pUDHitNItC55JD5+ltmlmJTMOKKMmulaR8+qC5F2H4O5nWzZ+kP6B+7kzFPeMes50swYZiQDCtz2i/ey9uw30Nq7CUXRSMS6capZdt52GWNd6znh9NfPec6fthwjM30p5aOMgBAiDvw98FbgV9O1aRr9abC9Co5vU5SCglOmUmd251w4bp4IEtcrN9S+5A4RKqM4fn3VpQC8IGR0ooSgVoHrMfI72J7HSE5F+tOHqXp+FU066Pi86qy/n1ef193/AwpjGreNjxGECq4Ph3PjVL0CgQETmoLwy5hhEU8aLDUlDxQGcIOAQMLm/s0sb1lK4BukInFGilmSVhJNFYxXxuhOtuL6VUTgEPEmWGcp+NImCFQqvsuaro1sWnbhrGMsOQXGgirF0CUMPVQBQUFSdWszYiV08b0SBFVMRUXHp+xKQt9mbGALvlMhUCBXHSL0CyjSIaXqREiQCTtx7SK+KzD8OFGRQgQpOpefTryjvmLlR9D0CGtOew37b/8sVd/GsD2yubnbydBHBj6+b+O5JUoTfbT21tZkfK8MnotbGSc/tqehcT1dONYWcoUQGeDdwOuBHwGnSymndSU0jf40ZKsBW8YjyKAD200zXl7Y0yRCD0sRhEH9NW4BlhkaViSK2lBpQEmoBgjBtCUBQ1xiyQPo1vShh+OOy01Zjy6/yt/Os8eLN72Gk1ZcxD+oNX9+0amQiSawPRtkQNyMY7tFTM3kju1Xceee31K1owTYaJrN/f33c8u+e7Ar7cQMk7JbRUodXbdRtBKLExJdenQbJoujCXQheN7p72RRxybKTp7WRO+cY3QDD09Kqr5LIEPeePGnySS6cdwyQghMLYLtFjD0KAIFzyux+YbP4nk22+78H5SohfRDllQjCF8lRGfFuhfTs+J8hBvw4B+/StXPMWD1kYjCs05/H2b8iYvWXXzGe8hmd3P/7Z/HdOd2SWhGhI0veA9DO25naNeNqPKRBetTT3sfExM7ue/OL6Ka9U8onlYcO+6dDuB9wCuA7wCbpJSzapg0jf40tERaUESGuNaCW7VpjdQXSTIXhtVNICIYdSpJHiET76LkFIk2kEGpqypLu1tQFIH22Gk+NZmH9niczuT05QpTVgYh2uiMrZp3n4qi0p58RKqhNZaZPNYj44+ZtaIpXZklxI0IZy9Zgy2hGoyyOL2Egfwwrt2CpcHO4X0oagRdjVIJJCtal6ErDmplkIiZJvAUHjzwJ/pHH8KuDNEWawUpKds5pNXJeHkMCIlGOhjM94FmEVfA0CySmkUgJZ2Z5aiK9qh4f2tyjMXCYXY8+AMMKwVSQhCiq0ncME9L2xqseAvl8hDlYh+7Hvgxtp9Hj0SIBHHClk6WLjpn3gZ/aOQBtu2+ipiVRBMaYblAJNGB6+QJfZ+eJefR3nkSES2Noaa470//wZpTX0c8NfOFzogkiaY70fU4+Ynd5G/fy4lnvhlNM0kklqKZcTQjxl23f5r1m/6WWKwxN+QxizimZvr7gCw1g18F3jo18ERK+YXHNmga/WkYylcYGmlDKQgKBYWB0SJrF3Bd6/7RIW4edTgtl2VjA7I1+/N9jFQnyFdzpKP1XTi8MGAknAApCGT4uEzMolMk544QFKcXVBsrVhgcacMMjk5lIa86SrsactGaDWxc82IAgsDFc8sICd+96+tMlIc4UNIJ7DieFyMT2cSL1y3n+ru+iBIU8YIqfaNbKeT2oeESFDUCKfGlZNjfg+PbKELgYFB0y1RDSY8VoUWDkmsTyoB84TCJWBd+UAUEmmbhukV0LcLw4L3kJnajBxah56GEAjwTzVNYtPFiMr0n4jh57vjDhwlFgNQksXIG6bmcu+E9xDKz33kEgYvrlgiBfYduJDuxi4ICeqhiBAr54n7CwEWECmHo1yYPE1Vcw6WKw/jQ1lmNPoBfLaGgMzpyPzL0WX3yKzGsFK6bx/YLBGUXGbiMZ3ccf0YfjhmfPvAZHhntvGLAm0Z/Gs5ZtYqvvPpV/Oye33DX3n4yC1wDPGpoKIpH1GgsCcZUTQQ0pNOuCEE8VkGIWmjqY9EVg8CPoM1wF5GIBLS27KGnozHX1FxIxcANQxTlkXNz7x2fIze2G6OiE48oLDMNXnnSa1jSsZHhQpEzlq0johtcdMb7+O2Dv6KvsJ0XnfoWlratxrbHiVsZIKTqFDDMFipuCSkDLDPFcL6PH972ZcoBqDJgZTRKGPrcfdvHCfQ4VTePBCJGAs8tEsNASBXFU0BRIfRRfA1pSAJcHrzn68gdEaphgZi0EFLhxJPfRNzqwnercxp8gDvu+TzDY9sZdD0ieoLA9znzxFewqG0jnp3HirSQndjNg1t/SLZ0mM23fpTnnPFmqsVD9PfdhLDm/l11rDkTK9VB4c6v44dlxORicjK5hDNP/0e2Hbieg/13sEqpr2zk04djw70jpfxEvW2aRn8ahBBcsHYttxy8gdSET9Rc2HqwSTOFoWpE9WhD7VNWiqwWaSgbVhEKmZiFAJRpdGJMzSCup0mZ099BRHSLTNynrcHEsrmwjDgoGtX8APu2XY1vlxBBTZZAt2K0x5OUFI9nLNpIV8sq1k2ZhC7uOgVj95+ootHbvo6O9FJg5az9tSR6aU10E1M1fHuUiBFFCX0IfFB0FGHUbvUVAyFUFNVEDTVC18HQ4gShhhoKND1CENhougFYOKKCpsVqsfNjNvnYASrVEfom7iMeaadSGcYijq5G8QpFYsluAs/FsSdQfNBVg6gZIx5tI18K6WjbQEvLIy41RbdQ98ax1Dhlv8K4fRBVOKCrZHN7cUKbVcufP+PnVjSddO8azEgC7JD9W66ka8U5JFuX09a2gbbiEPuGtzA0vgfbq7J++bOf2Bd7jHGsuHeEEEuArwDnUJvx3w68U0p5cKY2TaM/CyPVXShmP6OVAdYsoAzD4WyRYinFQG7msoSzYVdHieBRrE6QiU3ve58JL/AZztf6fWy5RIBcxWZguI18TkdK+bjEtFx1HE165MsNliWcATlZWrBaGcUgpLD/DgqhREhBVHQQDVKc+Oy3kWxfPutxDub7GXMrjJZG6UnPHRljaCb//KL/YvcDP+fQnv9jb2mcahBQCkIShksYOJiKgur5hIHLEkuiV1UMWyOtLcINS1SCYVynCFKQDpZQKY0R81SiahJNjZI7sI1hsRU7LGHrAaZq1Y7raOheFM3TiJqd+EEVLyjhGy7xQHDes95DpuOEacediHfzwud8jetu+ShOJeDQ4euxFANF+uzruwGAZYsvRJvjbtAujRH6HgN7bqBaGmXThe9GCMGJy5/N6sXn8e1ratm+Jyy5EFU9jszFMWL0ge9NPo4URXgV8F3g4pkaHEffYv1kjOX47gAt1sL6NNvjrYBCR7wxv5FipikXR4jUow0ziSZUwn0tCCGmVVZMWAapRJm4ZXPx117Fx57//7hg5ZlTtrdQCTQMs76LzWxcv+V/2bznt/RGo2halEBC66oLaEsuxXfKRCKdBE6VROvcRnxRspNs/iBtdUpnZM0YO7wqA4oKMiAhBIvbN7Kk/QQ0oRK1UhQro7RG0qioBIUCieRSQt/HrmYZG9nC+Nh2WteeQm+8jVLxMKWDByEIkUgSogfFG0H4JYxYHFu6oGtIXcUvOdhGERkELF71PIxkC649Qapt5szqI5y28Y0cHryH+/dcg4+BDByEHgGhzEsff/25b2NidBeHdv4f5eowN/7qHZzxvI8RjXeiKBqGHiOUki9f8VouOvlvOWnl40X4no4cK8lZQKuU8odTXv9QCPH+2Ro0jf40BGHIlbfcTzbv4zox/GBhc9Md30dKgdfgcYueQ8F3CcP6F1MlMHGIWsimnCZkU4aoegFFM5G+JFd9dFlEPwwoepKKV3+pRgDbs7lx7/UsSnZhuyWcwGMof4hQBgShB4FLiMRIdtO74pl1H18NfSKKADn3ucmVRzg0spWEGWO40M9uv8pYqBAhJBXRSURbOXXNi+bV79jEQ0glJNm9gmTLclrlRnb3/4AQjzBwUQIN3TfBt8GSKFIQKgFh6IHm4sgCEp9kZgWxtkVo1uNLGPqezcihu2jrPRnDqkUSZVLLMM00t+28ChSJG4YYgY8QYtrv97G09mxC0U0O7vktYVDLUQgDr7ZR1oJ6A1m7cJWqjWWQH3McWzIMo0KINwBHDP/rgFmLUTSN/jTccP8u3v+NX9G+3MIWPYwVfJh7/W3eDI+plHKdjOYai4DZlXUZLFqMVyt01hm1GYQhfqZmsMNpFqtSkQRXveUbfPeu73PFg7+m6DxagsJxC3SZAWbYWI3c3+/6Hf9zxzdYFU3iBg6ulKiqieNVOf+Ut+GXDvHQvt9RcRtzfS1SXKx4BNWfO/Htd/d+i0PDD9CiaxQCSKgKEUUQSsGbnvdlWurImBalEMtJElRrUU9CKKx69msBkGHAoVuvxdHSlMr9jMgxKgTEkdhKQBANaS92EjFbKOzbiZuboH3DGY/ro3/v9ex74JcUc4dZe+prHn4/aqV50wv+h3u2/pDdB/6EGk5+vzJAZe6F2Ez7Wp75F1/ljhs/RRBM4Hq1cpmqqvOGS77G3buu5caHfkKpzhKWxyo12ZEnexTz5o3Al4HPTr6+dfK9GWka/Wk4bc1SXnT2RkpqhW2jA3zz5mv45f03cyib4xN/+QqesbixLMoj9OgtKCWd7152J9f8Yjs//Nzf1CXqtqS1k6JXoDWWrrtvQ1dZtSqDoijo6uN1XqC2WLss3UvSNFiU6njUtlS0FV2PkplFW/6x3HHgFn5413c4paWHiu/QYcZY1/0MInqMauDRluhmsNDPiT2n8MAhm4lAITAac31F491o5UGsx5RLHBjfy+W3fREZaWeoNIob+CyOpvAVncXdpxOLtnI4P8RY/jCub5OKttX1naTb1xLaNlb8kfOlHPGBqxqtq55BJTuIUW3FDwco5zajGBYmUQLHxoimkKEgCFzK+UHG/3AZK857Obr1yIJ5JNKBpkSJxbof17+uWSRiPaiqSdKMoSo6ah2RN5oeJZLupuqOs2Xb9+hofwbr170aTTXIxLtQFYPBif1857p/5nUXfhRDfzoXU5fTJi4+FZFS9vGIP39eNI3+NKTiEb7yzlfy5u98n4rnsH88y0A+T9kJuWX7LiJ+hFylyoaV3UTnER73WA7snWDw/gqDXhVNHSYIQjRtegM8HSPlQSr+BGW3DNTnu/aDkIKVAwR+GM5o+AvVUSxhU7QfPdMvOiUGKgXM/PQLuVJKDmd3k4xkqDh5VEXnvsN3MloeZkhUCCUs1gW9iU5ecOqbH9f+QGGYO/PjrC2N1fW5Hh53ZZSqV8FxS/iBy+D4XqJWir1D9zNRHma4OEbBKREAwi/heWV6e89lw6LTAfjqlW8Av4ofOGjq/I2mGqgkIotghvyF5KKVJBfVIokO3PUlyp6NJXwM1yRRTSImq7NVi8OESkjg2ZRGDpHoXIpmRqkUh6gWRlBdDa8y/Yy7VM3iBA5GICAAKX0eUU2am7KbpUIZpVxGSsn6da+uve8UcAOHkULtglhxS09zo8809cyemgghvss0zigp5Yyz/abRn4XiPp/8joCPvOdVbNnXx09uvJtPXHU9n9CuR0nAK597Cl96/1/Vf2BZCwuNrVFrRrdO/6HvmQSeRdjAL1MiUVRnssuZZzMtus4i0yT1mOgeP1Cw7Qy2M71fadfgffzgpk+TMhPYk3V+i1LFVBROOeGvOHP5+ZSdAl3p6aNwTEUhrqroDfpUvTDEDSWhlFz/wA+5Z/dvCYRCGIYI4KKlZ3P2upfghz5JK0XJzrG45ZGwzpLv4wZB3fO8wHPwvSphOLc0xvmnvJ2x7LPZfv1/EjNTxKIdRFO9+G4Z3ykhJ/WN++/7P8xECyue+Upu/8OHEYFAqAJPTJ8454YhlSCkbekLWLf0AlS1vpDes05/P2PZ7dx931cIp6wHnLLyOXRllnPZTZ+lHFSOmVlwo0gW3r0zaZxfCIxIKTcs4KF/PeV5DHg50D9bg6bRn4VF6QyWb3BCZy9tiRS3bDlA5rQExarNgfwYE5UKb//cTwhsyXPPPoG/evb0dWUfy5IlGeIJnY72KIm4hTqNHMKs7dNtFKoTpKz6Y+V1RaU7lUYRoE0j43uETLSNpB4hGX20myRlJYjpGbqm6NkcmjjIZXd/l7bYEnLlERTVJBHrJhlxUBSNXiOFljvMCT0nk4l3kZnFV94aayOmR2iJ1qds6jgFHtp6GRFVx9SjbN59LW4oMTSTTHIxiqJTtvNsWHwWizKPuOdaHhPlk0l0UnFK6HVWjzLiaZziOKo5d+6Frll0tq1juG0dhpJAdy2EKlANC98roetRPLsWLiuFZOtN38KwkgihoEqDls7p6/TGI621c5/oIRqtP7rK0GO0pFeh6zFULcrNd3+RU9a/jli0nd7WNWxYchaHxnbzozu/xdkrL+LUpefU3cexwlG4sF0G/Bfwg4U8qJTysUqa/yuEuH22Nk2jPwvb7h9mZGeVQ305Lr3oRC48aQ0AP73xHj502VXcsfMA5ZJDUJXsPDjMxWecgG6o6KqCqc/sGhhwxlEXS6qxMrYsz+pmmY5cdS+6OkyuOk5bvD73jhv4DORrpQj9MECfIfZ6ojhEGLgUSo8OBBgtFcgWNPaoefLVAoamc/O+G7n78J14/nbAIa67qPElfOyS6cs9zsZocZAgcMjOs1xi1SmgqxZjYw8xPHwvumKRki77Bu9BUQx0fE5edj4nr7p0XscbLw4ShB6ub08WWZkf0nHQNYvQqUJibl0dRdU46dnvZ2TbHWT3bCZ7eDt+WCWgSkfmNFRUbHuCQuUgjjeBm/IAwXNe8J2H5ZWn4ntVxosDuL5NsdKYawzAdvJU3BJV38XP7aWj9URWLnkWmmbyl6e+mS19d/OVP/0beTvHCV0bH9ZMerqx0DN9KeVNQohlC3vUGblVCKFKOX0I25Ni9IUQLwc+BqwDzpBS3jPNPmuBn015awXwESnlfwohWia3LQMOAK+QUi5spROgpTWK0KGt5dGzt5eccxKGqtLTkuKhPYN89GvXUrCrPOP1nyLRpdOWjHPjZ2YOlf3HlzyP01Yt5b/v+AmaKlDqrKC1LtFKxJ0gY85d/PuxaIpCIhJMasnP3G/KimMpgsRj1DbjRgwZaNjBOC/+7puJRVw0oeGFgktOvJAzFp2GF5RY1zX/wuhT8UWa4apGKNJz7rvtwA384b5v0BNrQfpl4gqoio6Bw4UbX0s6tZxCdZTVvWfPu/+EEcPxKmh1yg/kqwco5w7Tyll1tWtdfTJGPE3u7suQdoCgVr84EJKs0Y9BBOlLqkJB1aa/CDl2ntuu/QBexCCjqWRmKKM5H1LJJZx9yrs4MHAnB/pv465tP+W+nVfyyud/DUUoxM0kAhgvj/Ken7+GDz7/c6x4mhVTlzwtfPozhgY+WTP9h4CXAt+caQcp5U7gJAAhhErNT3XF5OZ/Bv4opfwPIcQ/T77+p4UeZCJtYlgqhvno02TqGi8972QAelszfO77f6S9JU7RqdYKkgSCz377Ol77F2fQ0/H4BKrWRJyXnHUy33/gx6izlD2ciaQRpdWwUOtYaHwYIYia6sPlBWdCKiaGooBiUHYrXL75t7QaS9g7mEVTDSKawJEaUV3D1EycisOJnWs4e/njQw3rwVAtSr4+o3ulL3eI2/bfxNJYK8XyAAJR813LAFUEaFoU362ypGMTydSSuvs39QhS+ohZXF/TEaohFXfs4WIn80XVTdJLTsDclkSGLoHngqKgIHE0G13WqmyhaiiqyWP/v4vZg4we3oxQNAxFJ64bDSXtHUEIQW/36eQrIxwYuBMhNBRFfbjXiF6T/7D0CCWn8LjC808X5pHi8FjahBBTJ6/fklJ+a+FGNCNTffom8CIgN1uDJ8XoSym3A/WExF0M7J2iJ/GXwIWTz78P3MBRMPrjZoH4BoXR6swx44s7M+z85UcAGMkW2fCCTzOsVdlxx/XYrs9H3nHJtO38wKfkDQIQTiOHMBuOncUQAVV7gnSdMgxhGFAMBmrPZYA6Qy3ae8eGuWbEpTU7Sl/lTi6761dUh9dQqoaASTJo4fcf/Pe6+p4Pw6URwGekNH1+yY/vuYx7D93OhnicqKIQVRXa2p/B+c94AwBX3fCvZP0qeTvbkNEfKY4QygDXq9bl1x9XBshnSlT8LAnq7/eU5/8LQwduY/td32W4fD9BYGMp4EVKBHGPRFEDytTmoY/83+y9++cUsvsR+FiBycv+6rK6+56OE1e+gNVLL+aH1/4tnl+ZlOSAnvQSvvbqX/Dx37yfctDHWGWMZcydOXysMV0OyxyMSSlPOxpjmY1pfPo/ebr49P8a+MmU151SysHJ50NAfYVi58nyJa3sGBmkpyM9r/3bW+L827tfwO7+EX5542buKuzikq/ch2rt5ZzeduzqEO9+/mdpjXeiKRpxVqEIpe7ZUklPM+yPoJvzG9dUNEVlWSqOQJm2HmvZsXnt9/6diOWiYHDX/j/gBi6m7nP2KW0kWMbPbryX7sgTLwAyHb2pFkwtpDuZYcfwHt5/9cc4o7uLYnUIX4Kqx0ForF9+MYtSi/GdCdYvf84jBzDbKIUHMc3GSlwmY+1U3XJd9XEBdvsZ+ov72KSmG+oXQI+34JqgWxaB7aKqAl2PE3oeqm6h6VGOGPxyYZB7bvg0ltoCQtCz+lmkO6fX6WkUVdHRjRR+GPLlq9/Is5/xRjYufxYA3YluDmX38uM7v85te67jXRd9ZEH7fjKRNDTTf1IQQkxNGlKAjcCsM8GjZvSFEH8ApgvT+Fcp5VV1HMcA/gL44HTbpZRSiJmFMoQQb6VWL5IlS+qbgRU9GxmR2POUHBBC8LZXnccPrruDK7ZspkAFt5InolTIlUcJ/CL3HLqHE3ueQWe8i7GciSIUQilnmG9Pz+FSjgPlAo5fv7xxKEOkzAOTafqTcgx3HbqdlNnF7uExRooTxP0AT0LJzlINfKTi09MheP7y0/nOVXcwkVvYEpJHqHpFFKVCX+4Q2UqRildlojyK7RbwAS2UBNJnSedJnLbk8f7zrF1g1LFxGzg3ABW3hONXCech4zCV3YU8d2VLvMxrXHLaCx2qukOgVPF0B1MRIHUIQsLQxffgyEzfc4v4XgXfN5DSo3P5mSTbVjTc93SEMsDxq7hhiOfbjBcHHt7mBy5In5KdZyB3aEH7fSqw0D59IcRPqHkn2oQQfcBHpZTfWYBDX8MjhdFNajb3L2ZrcNSMvpRyobRYLwHuk1JOzQYaFkJ0SykHhRDdwIyhHpN+tW8BnHbaaXVdv8eHKlRHA/L5+v6RX/fsM3n2KetIxU28IMQLbX5w4yfZPz7B527+Jp3xDr7ziq8h9THCBuLR+8ejjBY6KNr1l0uUSGLUYtZr8eAqWwY28x9//ASl4nomiipOOY3I5FBMlX3ZCBL4/us+zpJMLw8dHECxoCKPjp5+WgRsiMb4+QPX4AUKUurE4uv5+EVvBSSmZlFyS7TO4NYaqhYY8VzybokG6tPQpQb4QsA84u2nclLMp7XNIEbjZQYrbpmCHxKGFRzPxQklS3WNSCDwFR/EIxeialAhZ7q0pFOcc8qHMaPphvudCU01eO3z/put+3/Pndt+hggf+WxvveADHBjbw8d++35U9+hMAJ5MGnDvzIqU8lULesBHjrtp6mshxInUyifeOFObY8G98yoe7doBuJpaAeD/mPw77zuHeliWaWMbQ3Sl6gtLE0LQ0zp1MS3KBSe8kMj+Gxk4vI+YnuCdv/oA3ekolmbUHaffm1rBRCWgpQEZBlVo9CZ78EKfz/z2/XQkFzFWGiZjxlmTTlOyO9GDBG0phTF/D0OFHH7gsyjdg6qodGTitLUarF1Wf9+PJVed4FPXfZxl6V7GCwP0RhJoQiFlRHnm0rX4wiJftXnh+meTjDzSnzlLNmhHchED+f66K4odoS25CHuyQlY99KR6qZb7STXYL0Bn61q62jbgeDbjhcNICa6ZQrNLCN1E10zuuPljRKNdFCqjSNXCSnQfFYN/BNOIkY53Y2oWheIgv7n1Uzz3rA+gqQY9qcXEzBQRM8E//OrtvPuC97J6HsqgT3WkPHbcO49FSrlNCDFruNqTFbL5EuCr1HxP1woh7pdSPk8I0QN8W0p56eR+MeA5wN895hD/AfxcCPEm4CC1osALyq79I+zYMcLo/ipb9w3R2Z4kWy6zuqOjLk2WI5y+8iI6Mmu4fOf7cIMRql6ZwEugeIIgDNDq0CrfO+QwPB5jomzTMc/r0WhxCFO3GCmO4NpjVIKAYuAzUhrG86skhUJPvMK7X/qWh9tIKXn+N/4GN/BwfBdd1cjbJWRqjNGgsZ+OlJK9Y320xhI8MLiFXaM7KJUHCf0qQdkgppqY+Jy3dANnnvCSuo8/WOin6JYoVCfoTS+uu71bHUEGDkHg1BUdFdojpBUPz81DQ/cYEIu08txzPsivb/gghDZCSrJ2QL9vowWCjKojXY1yaZiSXyUbepjFha1rMB1VOwehy1huL37gMJLdSUfLGkpuiYFyFsMuYfs2dx+8k5ZIhtY6Za2fihyjIZsKsB64Y7Y2T1b0zhU8En459f0B4NIpr8vA41bkpJRZZikS8ES5ffN+/vLt36K1qxan/7HfXMl/3hqhIl0+eOmlvOL00xs67tKWRfz3yz7BFQ9ey5/23Eg8kkNTtbovIpoqgPkndI0UB/ngFW9FUaNMOAWSmoEqFN510Ydpi3dRdcuEoUdX6vFGUhEagvDhXAJNVYFwcgz189ttt/Lvv/8ubWkH28uR1BXa4j28+rQ3kDLjPHTgBh7c93uUOjRjpmIqGpoQaPPQkp+OQTfAC7xJB9j82V71GChW2BDMsYo2DyKaTkRVMCSUUfGkxAdKUhIlQMoAn5DnnP5uutumz85dSNYtfzbpRA+3bf42Fdvhj3f8Bz3tm7j47H/ii3/xFX634zf8budvuXzLT7n8gZ/yk9f+Akuvv5TnU4WaDMMxM9WfGrLpA1+QUj4wW4Njwb3zZ6enM8Xi7gytXRH8YZ+kZRIzTIIg5P5Dh+gbHydnF3n5aWeysbe+2eSJXWvoyw+wZeAhorpNRDfrjt7pTkcZKer8dPPPOX/VaZy/4tELmjft+i0DuUMM2yWWphYxku8jYcSJmClQNFRFYKgGG3pOnfWCI4SgPdZG2a2iTxrRmGERNyN0zCPr1A99vn/Xt4kaKQ7lhkkZ3YyW8piaQVe8FduPkdA8Ni06lXXdzwDgcHYXKDpag5me6Vg7ET1C1GysnGM00kLVLdWVjQtgWS2Upc7de/9ArjzCaSue1VD/AFEzQ1G1kEKgKFFKnouuWWiqho9LPN4JMmRx50l1Rxk1gqJo9HZsoqf9REbHd1F2cuiTNZRXt69hpDTMnYfuxFA1BDR8wX0qcayYfCnlr4QQm4CClPLAfNoc+9/OUWBpTwv3XvGPvOoL/8MhRZIvO7giIFACfrPlQYQSoqghjufxiZf8FUadSVLPXXshF648m/f+7JXglmvx8mL+X8VwdSfSGOSPe8vsyu7k/BVn4Qe1LFs/DLjivsuYcMpM+D7tZhxCh0WmSUIN+fjLv8fLv19b3PdDH32WsUsp2T9aIpQhVd9F13RGi3kK1YADYzMX1HB9F03ROJDdz6+3XUUoY5RcH89NE4YKUmosSpzIvz7/8UKAOyf6uLswwdL8ACfP+4w8wqHcYcadMqOlUXrnUS7xsZQrw4Shj+tX61LZ3DtxiFGnxAMHb2Lv0JaGjb7ru+RLQzi+jSslcT1giQnDbpmsE3IgCDij82xedNpb5j7YAnPuKW9j78C9XH37Z1FyffiBi6YanLv8fM5edi6v/8FfIpGU3RKpKWswxyLHip6+EOJ71JJY40KILwA/BT4tpXzHTG2aRn8WFi9R2JkvYlqSqBFnohISMwxCQlxZZU/ubl74zWv5wWu/RFeyvpt6VVHJGAmUOTJjpyOh9XDIdnCKaTTzBKquywv/69NoqiBXzbOqx8ALfV5/+htYll5Crpolo5u0JRehKAotVhIhBOo87jDiWidVz8GYnPm2xKMYRoWO9PTulx0ju3jnFR+gJ9XOUHEAQ2h0Jdt4w7oXkrY6QMJYqcgzV08vTmcoPeTKSUx1/nr9U1mWaKdQOED7Y4Ti5kvMSOJ45boF19amOqjmD2ApKq3RxjJitw49xD9f+36e2b4Y1fUJhUDTDSLC48y1LyaRXMpYOcuGJU+e0FnUShPK2iL8F371Ol7/7H+nK7MCgSBtJal6Nn//89fy4k1/zV+d/NonbZxPBIlc8Oido8jZ1ORsEsD1UspvCCFmTRJrGv1Z0E2fSLKKZQpiWoyC66PqtRqqaugR4hMS1q3IN1wY44bdd6EI0Vgau1QJ/Ah20aJS0fnZXXfhBQFH1nMCYeHg8dy1lxB/jJsjCAM0ocx/HUHqyCkazgLQNBdFqYUPXrftISBkrDJCV7KVfdl9SCRBGCJQkEIlGUnxko0vnF93CEpOrOGZlqkoJBtYJznCXPIUMxFRVFp1HYSC1mDf/mSZwrznI30fRSh0oCIQLGpfT0f7hic991VVVKRQADHp+37kt2HpEfzQxw4cxgoD3Lv3D5y84qJjUqrhmDH5cBjokFIOCyE0UVPjmzX0rGn0Z6Hg78eMDvOR5/0jm/se4soHf08YWAhCTBFih5IQl7ydpzvZMfcBJ/nWbb/gup23ohu1snT1Jmd5+r3EkmVcbz37ciP85+8HAAVNVbj9Q59FVWr68dNFBAVhwIFSrQhHIMM5F0yLwWFCJcT1XSxdZ7xcwvNVRgtl8tUK//SLn6PrFVS9jCp0Amx0PUmmZQXf+9tv1gqw1/FPX/EP05Lso+LPKgk+I4XKOBJJsToBmek1+2ft38kRhgF+4NblLw+cPHFVIIRE8RorK1h1cvQYBluLeUquQxiY7PE8fvjq786ryPmfg470Mv7fS/6XX97wMXx7DNvOAbWL5Wde/E1u3/N7rrj7W4yMbuGqobvoSi+jt3XVkzvoBjhW3DtAHtgihPgttcSsPwK/mK3BU+OX9BSlJ7GcPSMDdCe6WbKhFzfwuO/wNjzf54ylJ3Eov49DuUN87Hef4Zkrz+Xt585amvJhlrelSRwIaY0liBvWtHIIU5FS8on/+1cmKlnKbokOM0mQKJESJVa09ZCwVpCKROlNpx6WSp5Jy0dTNTpi3TWhsjn6FUKwKNVN2asS0WsFOdriKaJGBF3RefV3PknSTJKIpDhrTTs9yXYKdglX5nnO2nNnXS+YicXJHpKGxaLE/OvTPopID4XxPiJWYzIM7YlubLdcd5z+Wetfya7Dt5Advp/WRP0hm7+7/XOMFfvptmJ0agn6yznW9ZzP6UtPfcoY/COoikZLqpds8RA3bPk+Ow7fxqVnvgtFUdm4+Cz6x/cxlD9EtthP7CjJdRxNaiqbx4zVv3ryAfBbYJuU8qHZGjy1fk1PMUaLJYpVnZJjc8riE3j/s97Gi779avzQ5/yVm/j+vQ9R9UtUXIfN/Q9y96H7OXXxpllntg8N7mS0dAjDGMfERPplQhmiiscb4ENju9FUg+HSCLtGtuMGLiBJKIKk5pHO7KEjFfLPl7x33p/JDwOy5SKCuYXepJSMFEs4vsfNu3extK2N7YMHqbg2Y5TIV23soonnwr8+/2/mPYbZqLoFIiKkOlmcu14O5LNsL1QpOo1libpOnsCvEoRuXQu5Szo30Z7o5ebBuzHc+c/0/cDlwMhWhsZ34nkVFumCAj6KHvKak19IdwN3K38Oqk4R13ew/REC6XNwaDOLOjaSjGR4xVl/z7//+l1MOCX2DD/Ims5NjyvG81TnWInYlFLWXZSlafRnQeijWNERfB75J/YCn1C6/Nsf/o0Lll/Aa095DR/93ecYyI3wT7/+BB9+znt51upzpz3egfE+3vmrD7M4rpBWVc6IR1AVddI7+mhy5TG++vt/ooLChFtFFQo68LEXfomuRBc7h7fxhT99AtOevnTejEhJSHVSrGPuX7akRBDovO/nlxMzdSpeGdPUyUSSfONV7yWqx9DrqO87FylFstQ0ScwspzQrayISNakRVeqXqADoCBQCqSMa+K+XYYDiCoQyf92eW7b9ipu3/5JWw4AwxFAU1nWs5YyNf0Nr4vEF0J8qXHLmexjK7uLqWz5J4Ja55rbPcN7G13HS6hcA4E2uT1x+x1fpSS/n3Zd8/skcbt0cQ8lZf2KWgqtSyseFkTWN/iysyvRweGIvHZOp9YpQeM7aCxko9LM/u4tcWXLF/XewvvMENEVn1+g+rrxvM9c/1MfBgTLLejIUnCqFosvaJRaHCweI6xlSkQztEZuo7mNoJkKo3LvzSgazuxh3q7QkehjOHyZmJkkZCVJS0B7vQFVUVratRhEKi1tWomkpWmP15QloikZ3ohshmPbuwg99/uvGz6GqEfbnhuhMpShWAwoI1vV0YLsBQ+XdLGttY3nbwhulTKyDpBFtXEYh0c14sY+YlW6ofSLajeeW0BqIf9eMKIqVQE/Mvb4ThgHX3PXflJwSqmrS0bIGXVGRfpU1Sy54Sht8qOnydLWuYUnnSQShz9D4bmLWI66cs1ZexEN9d1MoDdHWqKvuSULKYyo5a+ZqTTPQNPqzUC4P0qK4FKpjQO02+wPP+geu3fYnPt+3j/sODVD1PL732g/xvTsvp1iF27MHCKuDVMsaOyYO43gBoatwqDpOxa/gOSkUP84X3/pxvnTl6xAISuVhHtr7f0xUx8n5AYeze6h6FaqhJAZ8+mWXPW5sY+U8h3OgiJnj5afDD336c7VyeoEMcDwX26upSkaNGH25g9x24GY8aVB0A3y3jSAAqU/QkW7n1ac/j7/76R0cLtQX0jhfypVRdOlSrk6vpz8XY8V+ql6ZYnWcjmkyjOfCzY4QBh6+V8WoM0HMdksMhVmsWYTwxstjRI042WIf2w7fgisFlcAnmVnLcze+su7xPploqsELz/1nbtnyPYayW8mVBqk4RaJmgudueDlrOzfynT99iIliP/nyKKk6az88mRwrJl9KeV+9bZpGfxZKUmPY8RCq+aj3n7f2AuJmjO/dfgX7sgNEDQMt7MS10/z9hZdy6pKV9I+V6G5N4ngehYpDb0uMcXsCRVr0pFuQQuHevMkyC269+Z9QpE5E/H/2zjtcrqrc/5+1+/Q5vaU3CAmEJr1IL9IUlGvvYr/eay/8bFyvXSzXAjZUVFRERJDeewkJCaT3k9PL9Nl9/f44ARJyysxwIh44n+c5TzKz91p77T173ln7Xe/7fQUnHfFBGlOzyZUH0VSLxBgLYZYaxfNiaFTnKxVCoKsGAhAI/vP6/2Lb8FYMRdIWayRfHsKXUB+J81+v/gANkRZW7FzDzx74EzFLwVTilIvNiHht+jIT4QidYc/HF+bEO4/Cdk9hfdHBrbH9jkhA4DkcU2XlLAAUnZ22S2KMdZJtQ5v5/A0fZXa8CdfJElM1Ikac1x71HvZvryUV7d8DX5hkPZ9/rPoLN6z6C5e+7tfou6prmULgOll+dOMHufj4z7GgbWqc51SJ3hFCbGZP944EhJRyrhDiH1LKvWKlp43+OESMOnx0TG3PGrmaqnHi/CO5/qnb6C1o3LHmevxQQSVOb66f7cNRzl62pzTCtr7VOPmnCFHZ4KS5fnUvvojiCNA0QVpvQNMi7N9xBKYRp4P5447N0g1MNUY6Ul0ikCIUUlYcieQ3j/4cVVGxtAgxXaUx1oQMPWKKwZz6uZwwb2RtouyVMHWFdCSKpWsYSopUZN8UxI4YMTyhYoyjpDkeMTNBSWpYem1GX7XieAqIUVxfE7ZVdUI1gqbvXbt4w87HWdO1HFM1URQNVdGIWWmakjM4aFblNXz/HWlIdiAUC0MZefpTdv1gRowYSSuNaSSqLjT/UjKVauQC4yVivWm0N6eN/jhs7vEZzLTRnSmwaJQn077SFlS1n/s33khXZg6+VPjbqru58WmVs5ceNVKkZBd3rvg1vdlt2KFkY8lkZ8lFiJBhG7598TVVqWwC9BeylN2AzuHBCfd9dhxCCLzAw/E7EcBNa3biYOIELt8//yfMqR9dtqC/2ItUsvQUOhkoZvEZpCdfWwLSRGSK/cjQJ1uqzb1TLPeQ0jyypQGorz7yxbP7ETIgCBx0rbofjqKdI+MU8OgB2OPzv+XJX9Bf7MfEp7c8TMmzOe+ID3LMvFdXPcZ/Nw6ccyJLZh/PJ/9wEQCu7xAxNJLRRj5y3pX8+u7/ITu8jcFCH7ObDqg5ce5fSbUJly8h3wb+T0r5xLNvCCEuAX4mpRy1zuu00R+HuDODUm8fDfroMd+fPOljrOx8kuUbrmdBkw3CwZERGmIjTwZ/uvtSNg0McOOWGEfNsQn8gLMOeB1nJmaxbrCXBzbcgKmqKFXq6QM0xhMYmk9bOjruft+993Lu2HA3QkZpitezM7uT2fEEArD9EifOOY5Zjfsxu27sqmJNsXoE0BRvpDGeQFehNbX3bHYyaIs3kVJVWuOVJ7vtztxkK9nsNppr9B8X1CSOmx8ptl4lESNBKDQsqw4pQ+649zM4XomikyOqJEioGrkgZFHDIua2HcyhM/eu/DVVEQjiVh1lr8Sn//JWzln2Zk5fciEAZx3yNjrqF/CX5b/m9rU38Omzv/sSj3Zipop7BzgdeJUQ4jtSyl/veu/9wM/GajD18qP/heQzIfneCK43+sPesvYDOXP/k7EUgam51McHQdi4YZEnN99BoTyI7Tn4YUjW8+hybBbPPo6j5p/Amw+7gLTuEVPcmoKCgzAApYQbjh6P7gc+t6y9k+2ZTtzAxfFdSm55JCeAAE2ERFWVGYkmzl9y7rizL0+OVG1yA5sgDJCM6OvvE0KPlK5C6NXUXAk9EqpSdbnDZxl0ygy67h7yApUSEuCEHmW/zOotd+I4OTyvhJQhggAhQEOQNOOcf9AbprT88AuRSAIZEMiQUIYMF59/UmtJzeT4xedh+2Wy5SEe23Q7Zbe2PIx/FbLKv5eQPuA44EIhxI+FENpEQ5qe6Y/D4EARvygZHKcebHNyBl+88Cq+fMv36OrLohh9NJkWNz3+UxKaRr0Z8rdLLqM52YITOESNXVo4MmSBDiPew+pvm7ybQTeHscOuUbc/sPURvnnXD4kaKiD48pmf5FUzDiXv5rnsuncj5Ijv1a/gy5e3syjCo+AMk7MLoNoUvOGqx1wJMigSVQSBX5tRkH6JmKLgVJEgtTvbisMEoYcTuONW6BoNzyuTUASWm+WOJ6+kQdewFEFSVVjYeiBLlr6TUI6UfHy5oQiFL15wBY9uvI3rn/gF3gvuqyBwiUgfnDx/ffQnDOS7Oevgt75Eox2fKaanjxwpen2uEOKLjMgwpMfbf9roj8P++zezcbCPGW3pUbf/+L4/89CWVQjhk4womJpFMmKSsCIkNZ95bYcQMVO0ptsQQiG6m99eKBpZtQ5FUWtaNGyK1pO0Isyuf16N8qnu1Xznnu/RGp/FUDFDRDdZ0rIfiUiMZe0Homs6aTWNarXg+w5eYGNGJ44Hb4o3Y+kRZqRn0RhPk7QsZje0VD3mSpBmEyV0hFmbjEIs1obMdhKzassA7Uh2UHDzRPXx3WbPMljo5cd3fZXFdbMoF7toiqSIGlE8N8eM1kOJmUm0IM/cOadhVtjnVEVXDRoS7WiaSaY0yPdv/gTvPflLRI04ETPBMYteQ7Y8xJqu5dTF/71j96fQQu7jz/5HSvllIcRjjNTIHZNpoz8OfV4WGgOy9vMz/Z5cH37oky0XuG/Tk+wY7kFRQtIxgRvYhL5DCmjWNWbXzWLpfheN2rcf+tzRuxMhBB8bQ4ZhPPJuHsfP0pvv4pme9cTNGI9ue5zuXA8D+RK2X0ZRAkxN5/OnfGq34wasGuojDCVBCPMzEy+YZspZyp5LT76PvF2k6OXpyY1Zi/5F0VPoZ00+x9zCIEtqaL8j18XOco68k6cWs5It9Y9o2fvOhDIM2dIQa7tX0pvrJBUWUAObOk1FBpJQerQ0LeGAuafVMIqpS97JUvDK9GV34PhlNvY8xfyWA4mZCc457N3ctvovLN/+EH3ZHQzmdtKQ7HiphzwqU2WiL6V8nxCiETiKkYeUh6WU41YVnDb64xBNDBBL9aDpNjAiI/vOP34E1w8IQw1D1AOCL5/1IZa0zWOwNEjSjNK3+X76N91KxB378kopKORmoAilJp+g71sMD88D3+dD134BAE3o+GGccw46g/OXnkLZLzMrvWc8vaHq/PLiH3PHuvv55SN/QoYT3wJhoOF7UQLfAiERwkOpUeZgIgwhiCoKulJbhEeTrlHUdcwa2ydVFUeqVBJg8v1bPkWuPERUKPQ5HoHv0mzqRM0k5x//WVrqp5665Ivl8Dkn0pho47qHf8hAvsxv7/82M+oX8J9nfhMAX4a4MmTD1jtZt+UWPnjOFcSs2uoP7Cumkp6+EOLVwK+BBxhZ1H1GCPE/Uspbx2ozbfTHYWFDHVsG4M9PPMK967aypTtLndWK49tE9QjtyTn0F7IcNusA1nR38ZflD/PpMy6gvW4uBSWOl8uw5bHrmXP4uYgXiLDpqkpLoglVUSoqZvJCUpEIMSNJXFfwpces+hYSZpze3DDHzDmM2fVjZ6O2J1uZ2zCTiG7SkpzYDVIfSxLRIrQlG0iYUZJWlLbkvil+nY42ENEtUpHa3DOtiVayuU5iNZZbnJVso+jk0ceJ3hnKd3HPU1eTspIEoYsShtQlOyi6RTRZJhVvobVhUU3Hn+oIIZjbuB9LZx7F2p1P0F/sp263QunzmxfTmGgjqul4fpnfPvwjTlh0Fge0j15U56ViCrl3vgmcIqXcJIRYDpzJiF9/2uhXS9EpoIebmB8f5s61axHedsplSTStAjHu+K+vETefX5D7w6P388CmtZy031IOER5JMZPczk3IMKBj6UkYkeQe/XuBT09hZBE2CIOq4vSDMGBHZieu2ElvpoNCuY2PHPt6zjmo8i9Of7GLUOmnJ791wn0HSl2g9tJT2EhndilFP8uO7I6Kj1UNhVIfJh7FGuP0DbePmUaA7wwD1cswzPKzSOET+jaM4t5xfJu1Ox5iY/fjKIpGTHoIIWg0Ld56zH/y29v+m3yxu6axv5w4fdlbWNh2KFfccSmDuZ3PyTMsajmQL573Ey679i3k3RL5XB9e4P57GX05ddw7gCml3LTr/0JKWRZCjJsFN230R2HrwAa+etN/c2Z8PkeqMU47/Qwa62fTOZijvT6Koip7GHyAdMxACI+6iEXzrCUYsSSaFSUM/b0MPoxUIIoZOkIoez0FTMSXbv4cT/esImUZzGuXnLLwIs5YclBVfSStFCGCuDXxjLjBShNVVbYMrOcrN38OiJOwais8PhF9gcVTeZeFsraM3ECNUQpC1FGyYitBmBaBX0YZ5UfY9R0+/9d3oQNGGHDYvJPYr+NQfN+mo3F/DFUnoqikzH2TwzDViBoj91bZLfA/172Dd736i8xvHblP3/7q/8fa7qf43RO/RtH3zb1UK1NMT18KIaJSyhKgCyE+BWwar8G00R8FXTPQVR1DMaknxkFz55NqmMMR88ZuE9V1NDVE1zRU3aRhzvhGWAiBqauoQqnIf/z4tgfIl7OU3Dy6qmGoBqYaUh/XOHfZYVWe4YhvX6AQraBYSMyME9V0dNVEUzU0RUWGCr988GYuPuxEYmZtBno0hKLT6YQ1Fw6RwsBHqSkiCgDVQIbuc+2lDNmw5RY0Pc5AvgdVjLjj/NCjtX4B+3Uc8VzTspPD1HSsKjN5X66MfI9MDM2i5AjkbhIxMxsWUfBcfAQ5x+aPT17HRQedW3Vm+r5iCiVnfQHoADYADwEGMG41p+nkrFHoSM/mp2/+K8MJjXu1HnrsiSNVurJZglChL5et6Bh+6BGq6/CUNRMmAkkp+ek93+DqR3/CDU/9nhYrwaVnXEbJd+nO91Z0vBdSsgeZYSq4zsCE++7XsoSr3no9eSfBUDGG7Zis68pzxf03cee6FTUdfywGS72oisNgqbbooC3ZHraWbIaKE8tTjMbywS5WZodx/JHF+6HMZp5a83seWPkLnlx3La2KR4Nwueziazhiwal7tA3cAq1AosYcgZcb9fEWvvKG3xOJNTPkewy8wGXXlc/QXbS4f+tarnz4t6zsfvolGumePKu9U83fS4WU8h/AdiHEMuBHwLd2zfrHZNyfVSHEUxUct3+iEKGpylB5MZsHsyAmjmWf16qxqnfE/VMJuqKTjjSiKGpFNWTbE62UvTKvmncix8w/BV2NENcsZqbaJ2w7GolII7YUxCKVyxW0xjvoy+YRIkLKTOK4ZZoTtcXTj0VLvAVVqLTEa8wDsBrIyi1EalwIro+1UHYL6KrJQyt/wY6uRxFCR1OjeL7HgXNfTWv9glFdcoaRwAhjxNR9k8MwVYlFm7Gl4IcPXs2fV9/Jd867DIAjZx3CG5adS+fwOjb2b6Btku+lF8NUSc4SQpzBiOTCNkZ+r+YJId4npbx5rDYTPUupwNnjHZPn6zO+7NjQC49ua6TgjJ3SL6XkqZ2PM2xvR7W6cIJiRX0HMiTrlEZCNqUcs/ZNyS3yZOcTuF4RGXicf/BbMDWLHUNbkdLDrjGdveCOyA0MlytvnymWKbuCIBCUEDieStmtTS5h7HEVCGRA0a2t3GFPOcNOu0jZs2tq73h5fL/Mpp2PMDi8CccrIASUQ52C5zGrZRmLdnPp7I4MfCi6BKLKamYvcwqezZDrUPKHKXsed65/mKPmHEzcjPH+Y9/G12/+NDG1zKaepzCEQmOytonMZDKFoncuB06SUm4BEELMA24Eajb6l0gpt423gxDig1UOcsrQt75EZo3HcJ/9bA2VvdjYv5bL7/wKKT3KXEtHCSr7wgehpKdrPxQhCOXIr+toXPPk77jx6b/RYpgj8cPhyA+QCF0WWBFalNpuz7wtse16sqXKPXyFsiDwLb5z4Qf46/JHuGfDMxTdyTVwuZKCbdeTq83mU3JK+GFIyautgwGnhCZ97lj+Y2JqBD+UnH7UJ2htPICyWyA1TkWvIBjRIwpq/MF5ufKBYz/KWYsv4J1XX4rvwpdv/hFvOfw83nvMGwAwpUedpnPzk7/g4XVNfPK8n76k45VAMEVm+kDxWYMPIKXcLIQYd+Y5rtGXUt4/0REr2WeqsmB2E2u29dDWPHbySNKqR9Pi1CdnkDYt5jcfUFHfpqrREmlGUxS0cVQ2G2NtaGqEhW3LaIjWYe1K5Y9adeh6lHi8tllRS7wBS4sys67ysnxzm+vJORkWNLcxvyXN8k5B2ySrbbal2jDUOK3J2lQ2G2ML2DrYR7pCt1UQ+lxxz/+iqjq9+R5iVgNh4NDeMJPGRAel8iCtDftjaBbGBJo5uhFDi8axahz7yxVVUZlTP5vT9z+eXDnHU91r9sjzOG7Ra3hy6330ZbdgGTF+cPMnecPRH6E1Nbby675l6iRnAfcJIX4P/GHX67cADwghTgSQUt7zwgYVLZULIc4BvgrM3tVGjPQn945FfBmxfXCIsuLSn80DoxvHoXKGrfkCQrf5f6/5VsV9u37Ali1ZhBD4YYiu7j3X780NsmW4iwHbp6PxIF6/7LXPbcvYw2wuDuNo26s+L4D+4iC2X6Yr21Nxm+7iJmyxk4ydobe0FWlsZ7DcD+xf0xhGoyszTKGs0FPhgvgLWd9bZPtQgoFCkdkTuPW9wGX7wEae7noCUHFCj0bdIpQBHz7iu0SrTPDy/BIlJYM/uR6vlwWqovCFMy7hqkf/wmOdT7Aj08lAsZ/GWBOvmn8KsxsX8f1/fgw38HF8m239a18yoz/Fiqg8W23pvbu9N5cR/R0B1Gb0GfEbvQ5YJeXUee55sQhbwctJ9DGdL6DvSuDRqgwxFArEWwIUIUYN2RwoZLjoF5+kJVHH1876Iod07BkCKoTGsOeRrvHTMDWBotgYeuW3t2X4qGoZXVWoiwSkzTIJc3IDwCwtRFXLVY1rd1RhEQYamjK+bg7ANQ/9gKe2P4gKGIqGSoAr5cgiXi2FPhQFVw1Q9X//IiEvFaYuUbQyD235O/du/BM/+4+rSVopmlMzed+p/8Nta27gkS334tUacjtJTJWFXCnledW2qdRS7QBWv5IMPkBLOklE1UnGRo9Dv3Pd4zy45UmieoTGWHWRB5qi0lofQRViVBmGiGGSjkZpiCU4YtbecfiWFkVTYySt2tQKU5E4EUOjOTZ6Dd7RaI3XM1DoIWZEaYzWkzQ1EsbkJtY0JxLETIWmaG1uo6Z4HRE9QnyM3IE7NtzDmp5naDNGfPCmZpKy6ogZCTKlfqRQ8UMfXam+tJ+qWqhGDMNM1zT2VwLzG+fREEuStHS8wNxDZnp24/7UJ5aDorO2eyUlO8fpS147Tm/7hik206+aSo3+p4CbhBD3AM6zb0op//1L4LwI1q/tI9PlsGPnMAcu3Nt3/uN7/0pvsYtItMjOXGdVfXuBRy58BthbhkFKyWCxH0dsod8ZXY6gr5CnZ6gOXda2aJgr9VJnFMmWKx+3Xe4mqdjkykMMFrpRpMdgsTa5hLFw3Z0sSA7juLVJGWwdGKJgQ28uy/ymPT8z1/e58uFf4TjDLIpptFox6tWQsw95M/vNHKkH/L7fvZYg9LH9MrpWneF33BxFp4AnK3eZvdJ41czD+NNbf8s7f/c6HN8hUx6mOd7yXBGfvlwXbuDy+NZ7eHzrPZyw6EysGusl14ycUgu5VVOp0f8foABYjGR8vSKYdUCKVQMKbR2jL11E5QycXMAHjj+XV81eVlXfmqKSjGi79PT3dAf84P4f8M81N/P2w9/Gga1LR23fEI9iWXla62qb6UetOvJ+iGlUPtMPlXoyXj8RI4Wqp8n4IVGr8vaVkLTShFKStNI1tW+IJQGx69/neWDTM/z3n39Oe2OCvOty6lEXMatuJqXyAPPbnw/B1PUErlccV3BtLIQaZbsTkqggy/mVjhRNlPxB3vqH93L+knP50LHvA+D1h76N2Q3zuPvpawnCkI/88WIuOvSdnPEvnPHvqyIqQogzge8zEqz3cynl1yf9IBVQqdFvl1KObn1exigRgVmvMFbulO/ouOUYJ849mY766o2fEOEe4flB6PPQxtsZLPQhhOTQjmUsbhk7GkjTS4gaJY5DCeWwusdYN1Qo+oK7Nj7EQLFAMZCEcnL918Gu/qrt1w887t1wK2XXBjkiV92Xy3L72tXU6ynW9o0seCsYEEY4ZM5JNMb3/szcELwXkYM/5PkoQW2lGl9JqGoUT+aQ2JR2yzVpiDdz+uLzeGTdP7ADDzwo1xh++2KYbPeOGNH1+D/gNKATeEwI8Xcp5TMvst+3j7ddSnnVC9+r1OjfJIQ4fTyN5pcjWYqYzQqD9ugJTNs3Zsj2uwwMF6s2+n4YMpAZmRE+O6lY272Cvzz2M0po1OsqBTszZvuhQoFSKU3PcG0GZqg0jAwVBotjH+OF9GY8bDvKLx6+BiVopmTPpTfjwiQGWWwcKvP0YJrNw2VOrKLdis5HufrRn7Jh2zJKeZP+TIk/PfYIf1vxOKVeDS0iMZJR9m9YxpfOey36GBov67pTeEGcsudVXcPW9YpERQjetAzDRFzxhm/zyJZ7+MUD30PxhvbYpioal15wJbc+8zf+svzXZEpDY/Sy79gHM/0jgI1Sys0AQog/AucDL8ro7+rjCOA2RqJ1TgMeA7bvel2z0f8A8AkhhAN4vEJCNuc2N7Khp5f2uj3j9Nf1buWzN1xOIjaLRMGkOV29druuarQm60b09HfF6SeijfjCYF7jAhrjLRzQNrZoW3MiRUNUYVFTbXID7Ykm4rrB7FTl7qH3H/cG7t+8nIe2PUQiqtKPT0fd2DkMtdAab0clVrUMQ3OshbgeYU6riisVvnfP1cT1BBFD4fRjDqQ5kSIrC1z8qiPHNPgAHckZZO0iMaP6OrZxM0VLJE1DjdIYryRURaU12UZUt8g7BT72l3dz6VnfoGGX9r6qqDQlWjFUg62Dm/js3z7I/zv720SMfV9yUgI1TKUahRCP7/b6CinlFbu97mAkIOZZOoEjaxnfC0gDS6WUGQAhRBq4Tkr50bEaVGT0pZS1VaSY4vTlc5QDj3zZ2eP97cM9DBQzFDN15IoeRdutum8/DBguDyOEIJAhA/lhVnevZ6edI+37fOaYMT8zAGy/jKr2UXRr+2jKbgFd2BScymdRr174KmbVtXDHhrtQlWGkViDv1hZPPxZDhSIlW2e4VN0jve0V0aRP1nEINJ/unE1Es/FCn2OWzOa8ZaNLJ7yQnkyZouvh+D6GNnHY5+4EoU1S2Oherqp2r1TKbgkZevQWesk6OVZ3LWdp+yE0xJp2bS/ihx49+S7KXomVnY9zQPsykvu80pasZaY/IKU8fF+MZgI62C24BrCBcWcdEwmutUo5fihCJftMVQLFQzUCPLmn39yXZRS1zGvOTvHuw9/K7NZahKJC4tEulJGHJj7858vozQ+jiiYGYxMbctv3ybk6Gbe2OPmEIlkYidCkVdde4pC28qRMn4jqogtn4kZVYEV6aazbimlUFxU05HqsLYQIo4dILCAMdVIxkyve/AnmN1X+NOOHPqEMa3u8D0MSKJhTSJf3pWRJx2F8/pwf8v17vknGyfHrh35Ic6KNb7x2ZIJ83ILTmNu4kO/c9kXKXokf3PsN9mtZwhfP+uY+Hdc+CtncyZ5VfWbseu/F8lvgYSHE3xgZ+oXA1eM1mOgbf1MFB61knynJnMY0yahGU3zPWPSOZD0NEZOlbe01GvwRlc3ZqWY6kg1cdvPnSUdipKw4Cxrnc/r+x07Yvi6SJG7GmVGFe2Z3olYdUT1CMladGyVppkhaUeJWmohukYxMrjJic7yFhKXQFKtc/fOJtdeyccvN6JpFQzxGMqKytG0uZy45mgXNbXtFR43HotYYsxtMIkZ1s3wA3YhimklitSqEvgJpS83khPmnMK9xIQkjQUvi+ftZCMGMurkcu+BkFjTuh6lF8EL47E2XMlwa3neDkiM+/Wr+KuAxYKEQYu6uylb/wSSIVUopL2NEP38AGALeLqX8ynhtJnLvLBNCjPesKoCX7bNsZ3Y7Lv30FQdZtNsTk+cMsCReAqf2H2o/9JDuEOUg4JliHzm7lbLn8dPXXMqM9MSGfKg0iBMM0p3fMuG+o9Ff7KfbLrAjW905DJWHGHLyZFxJ0XPpyveztHL5ngnpy3fj+TZ9hfHrBOTt/IiEhV9m1aZ/sr04jJRFco6PS5n3HPdRDp9RfQk+oTxGPOLieCUMtTo3gusWcIIcsjydkVsNZy+5gGXtB/O/N32M4Xw3Q8V+6nf70b/o0HfwROfj/L+bP0+mbxNFz2Zt3zqOnnPUPhnPvgjZlFL6QogPA7cwErL5SynlZBUQKPP8w8mEftGJBNde2lzolxidRlynn6i253p1IYjzTFajvrn2bFRFKERVEy/0Kfg2p+x/MCfNP7kigw8Q06MYQpCqMXHFVwz6XBe7yuJpphbFCTTqLBUv8EgYkxuTrqhRSoFA08a+trZn8+bfv5lmw6BFkxyUrKddN+g1fIRuMIBNnVnbZ5M2YpQ90EapjzsRoWKwuewSm7b5VWPpEQTgeCW+cN17eM/xn+LQ2c8/8R7ScShfOO2L3LD6elZ0ryRu7tsF3X0RdCulvIlJ9owIIV4PXAb8BXgHcIYQ4hop5Zgunn+P2mT/pqSiETQRJaI/f5mufXA56wa2kfEsTK32xCRFKFhGHAcX6QS0p1o5fFblqRCGZhLVLRI1LmqZWhRbCiJGdXIHlm5iaRFiehQvKNUU5TIeUSNOKAwiY9RN3di/jZvX3IOlRVE1A0MLiEebEKpBc6CDkcALnJpLFiasBKoiUGvQflEVjbIwMNV9H2HycsPQLFKRekw9Stm3UV+gnaQIhaNnH8PDWx/E0nQe3Xo/JSfHkXOOm/Sx7KvkrH3E54DjpJT9QoizgNcCDzKOX3/a6I9Db2EHQu+jrzjIYjoIw5DP/fZvqBYYyTls7qr9xvBCj5XDO3E8E8eP0JWpzkc5WBok59l05rpqOn5PboiCbdGZyVTVrlAepEV3qBMqDaaOXZ7cGOqe7DCOY9CTG73fXz3yV+7f/DhCCPrx+emHr97DZ3/lrZ9GlBVK5SGom1P18bdlu3bJMNgYVf5wDJUzPDLcT7Ls8u6qj/zKJmGluOx1v+Sn936bjUNbx3Tv9eS78QOPO9bdyENb7t4nRh+mlPaOIqV8NupBSCkDIcS4j6kTRe/cBHxQSrl1kgY4pZjVpLJxKEtrcsSFIYRgzpw4Jdvhjccfy9kHjV/8fCxuevpvXP3EL2i0EqgRg6Pnn88Z+1eTigR1kQbAoK7KhdhnabBm4Dlp6s3qMqvqI/XUaxZ1VpKiPfxcXPWLxfZKXHr9+8k5KQI/QmP0+YWCL910BfdvWoEQ0JywUBXJhcvOYknbfnst0s5OtuAUdlA/TrGT8TiyYQYFJ0e0BrdZ3KinbLdRb86ceOdpRqUhPuLLv3r577nu6ev50YVX7FFO9H1HfYAHttzHjU9fT8SqLUdlIqbYTN8VQtRJKYcBSwjxf8Aj4zWYaKb/K+BWIcRVwDellK8opXA3zKKZQ/jSJ1Mqcfe6NbhqGWkFvOv447H06vy+Ukoe2vYAGwbWE4QhihqgiYC3v+pCFKU6d4If+jhBQNmrLWTS8UNcJ0XJqe7mDmVATJHo+FgKBMGLvyWGCn08vfMJSk6BomPg+xFs18cLPO7aeB87hruxfQeBwAkEKB6HzzqQI2cfsldfQrqkNIGUtclT1CsBCV1Byuq9un4YMFSIE9WmH6BrRyClpOQVcQKHO9bfypGzj34uNn9+4wIaYo1cs/IvRN3JDRfenWCS5UX2IR8CEsAwI4VUNjNByOZEC7l/FkL8E7gUeFwI8Vt2e/J5uatsZsslwlAjW87zjyfv5JrHH0ZVPCQjX3CozuhvHdrC/95xGaZqYPsBQ64LuITICWNnX4jj5WkzBRFZWU3eFzJcKo+cW6m6L07OydPruSQoEgYBWefFB2/9/uEfsb73KTQJflhG0xSKfoa7Nt7HN+/6AZpMo6oO3z7/sxw84wBKXpmUNXouw5b8MD1lh4ydo5a5fs4tEIQ+QeChVymcVrA9SuUUA+M/XU8zDhcd8lZO2u8s3vnHtyIClx8/8H02DKzng8c+n6zo+jZRJYQK61FXy0ic/uTWidhXSCkfFUK0CiHOB1YCj0wkgV/JlMQFioDJyC/KFHJ3vThm1c1k89B2mhKNzKwPsHSDYxfsT1sqRcyofqEwFWnAFK20xptpTlg809uDoZo1LRqmIo1oWpx0vDZXwoz6OPFIyLzm6jJ6O+rmcNicEwi8Mtv7n6E+VltpwN8/eiVre1ehI4npESzVYr+2g8l6CrdufIaHt67ADz1MNcqBrfsTM2IsbV+Ermqk1LHHnI530JPbSTxaW/5AXbwD2ytUbfAB6mIRmpIKc5umF3JrRQhBQ7SR1y69kJ58Dyt2PkFLfM+Y4ISZJB2toyVeW47KhEhgisz0dwmufQm4l5GR/0AI8SUp5a/GajORT/9M4LuMJBEcKqX818vdvYR05/oouTbZcp7uTAbb9Tlk5nzedOTRVfeVs4us2rmFnQMJ8GN854LPcuaP348QAYEM0ao0/Fk7z7ZCCdUYP559LDJOP8LcRn95x8Q774apWbzruI/zxwe+C6FLcRxRuNEIZci6vvU8vv0hhot9RFSVOjOJDF0OaDuEJ/u34osh1vdJgtAHIYgZCS4940MV9d9T6GHIKVK0c1BDYFO53I8f2PiBi1pl2GbRLWGLrQzYkytN8UpDCMG7jnwvNzxzA/dueYBtmR3sGN7GzLrZAJS8Enk7i4Jgbe8zLGzaD7VK9+jLiM8xYpuHAYQQ9cBDjLjmR2Wimf7ngddPYhLB1ERKAlvg5CBwapsBfOq6H/HUzi0EQZQw0JFSUMh0oAhBLTWYpdRw7RSeU1vIpioCVNVGUarXDQLYans8XXQ4xavuwe+WdbfxvXt/QJ1p4vg+Hzrp8zy96TY2967khid+Rl6qpPQARc8QhCGfO/0ylrTtV3H/KU2lXlMxxik2Px5DfoDnBcgaPhRFhGh6DqOGbN5p9kYXCoYCy7fdz4ObbuPHr/81zYmRwAU3DMnaRT79j//mPUe9n3OXXDCJRxZIpsZMnxFf/u4ywLld743JRD794ydhUFOW1kQrEW0Tf3zgKTxXx9IMGpPVxbUPl7L84L4r0bWQmKXTkGrlyLn7oSsqrenEHiqb1ZCwosSNBG2p2qJU6qMporpBa6K29o2xFnxhko6kq2o3v2Eebck25qTbyJQH2bTjAXRFIaJHMIVKRDEoy5DYrvyBgzuW7FFVbCJikSZMfRsPrbuR3uwODl9welXjq4s1U3bzaDUUUYmZUeqjMdqSkytN8UplXsN8OpLtGIpOzs4Q3aWwGTfjLGzaHylhy9BWEubkFvIBpox7B1gB3CGE+POu1xcDTz2rs/9i9PRfkWwdGCSTN7l54yasiEZgBvTkMxW3D0Kfx3cs555ND2FpMXxh86mzLuHQGUuxPYe8eHKkNNsLyiVWwkBhiJI/TGd2e5VnNcJwsY+IYjNcrE0rb/twN0UnoCc/UFW7RU0L+clrL8fQTDb2rODPD3yTiBZBhi4CiEmPJZaGE9pIJK5fRhvHh/9CVg9uobMwjOM9QufguqqNvun2oYc+vl+uOis3W85Q9vvoLdT29DTNnixq3p+fvP6XvPXq/yBjZ+nKdrOgKYapWXzj3O/xo/t+xeOdnXRlJ19vfwrN9F1GDP/CXa+X7/r3MF6knv4rkpjWQBDsBA/q4jHef/aJnHlg5VmzV936CXbmemgwfQ6ZuYBXzX41B3eMVMJSFYW6mI8qlKoEwZ4lFYkjhCRp1bZo2BBNk1BVmiO1uYeaYxGimld1AfMntz/Elfd+ndZYEyU7gykgnZzFEQtOxdAibO19iqc234YvDKQMqza8gZpgyJMsjCikrOqLqytalMAvoarVVwVNmHEaDJO2KorNTzMxutqI6zl84NrPcOL8Y/h/p38CGLneUkJyjEiuF4WcMtE742uwj8K00R8HQ7UgNFBRiOgmFx5+WEXtMuVh7lp/C4EM0FSVpCFY0DCL0/Y74bl9FKEQMQSqEDUZfVWoaKqCqddWslhXdCKKWnXW6bNYuo6lhlXlF9y18X62DawFRhZ0hVAQikpjsp2D5rwaANcvs2Lz7QhFI5QBosoZl6mZeFLBUDWMGlw0mmoQBG7VxwUQKMQ0g4g6udIUr3Tqo4305ocJA4eCk+P6lX8iJEXeLqEIhXRksms5CeTUce9UzbTRH4eebJ4gUJHRkOFw9JKJo3Hbmhu4ftWfOCwex5KSyy/8BYkXhBD6oYcVjARDhTLcI+uwEgZLw/ihT1+hOvfKswwVB3BlyGCxOt36Z+nK91EKA/qLlR3fDTwuu+27COGjqD6WWiAMPT58+jfpqJ/z3H4HzXk1B84+kbf/9gJCGWD7DnoVP0zJIMuBMQ0Z+pTs6h/7TS+LQUAYOoxEKVfOsJ1jfdan19mHsr+vQL593pd4ZNvDfPnWL9KbWc3V/cvpKyaIm1Fu/8Afa5o0Tcy00X9FsX2ol/f/8VvUWSkiVsgFBx3K4bPnj9vmptXX8o9Vf6E3v4CIISl5CVpajmdBYxvxyN7p4rpqMD/ViiqUmuL0G2N1RHSdGanKded3Jx5twJGCeKS29s2xOcAqGmNj6ypnywXe+bvLaIhF2ZnrJG0lURXBCQuPYP/0DFyvQFt67zwDIQRRs52SV8TQqps1L6zrwC3uRFFUYtHqzy1utOD5JRSl+tl6YyTFQekUs9LT5RInm2XtB3PhQRcxkN3O+p6nKZkaHamGfWTwmZ7pv9LIlgtkygUgIBR55jWlaEukuemhp2mpSxCEkoxTpKMpRdYuoWhl1vWuoeAU6c1lsAwF248hzHkcsf+Zox4jDAMi0kZIgZQhokrD7/gOTlAi69QWE15wSwy5NkN2bRm1Q6USJUdnbd9GUpE48xvm7bG9N5fhkS3r6M0PYft5il4Jqbioisr7j3zvhAvXPcUCZc8hCKuTQ1CDIvWapNe1KTjVFygPykVC34YaZBjC0GOu6ZBSXlHpLP8SLN3i3Ue+lx/d+VUEAXZQJOdm9tHRBBPXl/r3QAhhAV8Aztj11q3A/4yXUzVt9Eeh6JYR+JRtFacc5yu/vxNRvIf8kIvwBUoUzHqFxpkGjswTjfeSjPp4oeDTZ57LSQuOI+cUaUuOEw4pQ5rVkYjgWgL1y34ZIXwcv7ZU9JwdkHcSZGq0T5lclFKhiV89/kt+96TOTe++bo/tn/7r71jV2YlvtxBJJvnjJW8nbkWRUlYUqRRRc2h4hFVq6ERxSKiCbilxPLuqtgCiEKAGIKv8sQGQoUdCVTBfWRJV/1LK3ki9kNZIQFKr3OVaDVJOqZn+5YAHvAm4Fnga+CGMLfQ6bfRHYb+WWbxq9mLKRYM1XT0cuN88WqIpNmwcoLUuiRcEFPUyi+Y30lsYwow2MiOdZmd+G0fMPoS4FSU+QVSNouhY0SYUoVQ9ywdoiNaRtmLMqavNldAUb8JUY3SkqmtfdAp8686v4oaNRLQYSaOBhthIBNCfH/8lWwa3sL3oYOrNpKIa89vnc9T8BbSlqpNrmFc3k4JTxKrSvROJthPJdxM3DZqS1V+baLIVzymiVnlcAEOPo+hJzOh0ucR9xYmLzkQi6czsoCU5iSXb9mLKGP1jpJQHAQghAinl74UQ40b0TBv9UaiLJrn8oo/zpm/+gu7NCl/96DGceOCiST1GKH26cz0gBKEMUEV1H0XWzuAFGfoK1ckoPEt/bpiiHdKZqXwhuOSWWd2zmmd6VlEsz8YJYbhUouh4bBvexv2bbqe/VKDPUdDCIg4e7z/1LRw2a/+qx2eX+pCBi+s7VYVtDhW6yTpFQt+nUKxeoqKU7yUMXALfRlGrC/kseQW25AdIePui7tI0AEfMPYEFzYv53HXvYbgg6MnuoCU5Y/J9+1Nnpr/HQIUQKSZQgpw2+uNQWi4ZWO4i3jb5/j0JrLfdXVE71d9gcc2kwzCZadVWFlAVMTwvhiIrN2yfuOH/sa5vPYYGum6j6RIZaKD6XPKXS2ixYoTS59JTP8esujkMFQscOrNyCYXdyQfg+iFUGdWUCQT9rscWxyWt1uCiMRVCj6qPC2CpOgujBsnItODavkQIlVIQYPguX//HR7noVZdw3KLR185qZQq5d7YIIQ6WUq4A0sCjwCfGazBt9MehOR1Dzakkk5Mfd60KFUVtRFHUqsM1AUw9Qp0Vp7HGIiapSBRDidAQGz+x5doVt5N3Srz9iHNZ3LyI4XIGVXGJa43Y7gCWEcPUJU5o05hoBUKOmnM4pmYx90WoEUStZoRbQFequ0Utq45QMRCqQqKGIhtGNIXvaihVHhdAVU1SZnKv8NxpJhdTM4maiZHILl+yZWAtBSfHGUtfP0kz/qmzkCulPG+3l2cC26WU5fHaTBv9cVizahvZ3n62benn4GUzJrVvJwi4b/2In9sPQ3S1Or9+rjRI6NsM57trOn5Pvh+fAl25sWUYPN/jB/f8gVCGXLjsFD5y/Hv5yPHvxQ99fnD3/5IrraHP1rBDH0XxWdRyEJccfUlN43khj28VBGGMkueS0ipPQNuZ7WTILaOFkkKpevdO3u9BCp8gsFGrOC6A42QpugX8Qm2fyTSVkbdzDJQy+IaFRshjW+4G4MT9XkPEqO3J94VMlZm+EOKFJfdad//hk1Le88I200Z/HNrbJYgh2tqr11afCF1RaGnIoghlRGmzSmJWmhBB1ErXdPzGeBxF8WiKj+7e+fvqW/nu3T8nZtQTSomhjbgJ+/M9fO76DxAx04QyZGZUJ6KnOGXJeZy04KSaxjIarXWSgmNjatXJMOhGGi+UpDWDllj1M25LTeH7RdQasnkNPU5E1UlUKUI3TXVEjBhC0dHNNK9bch4PrPk7fuhVLdkxPlPD6AMfH2ebAKaNfjWE+Ehy7KtymZqer7pM4vNIAiCQtdW0EYQoig/ieb93Z2Yny3euJGpE2DiwGRjRCFKk5O+rbmdGXTOdw1sJZYgXuIRATIeYIbjwoAtrPI8xxqc4qGr15fAMPYKPIKIqaDV8b0UIBLV+4SWaEFPEMTC1CaQkROHUxRfw6LobJr2001SZ6b/AvVMR00Z/HHJqA/EFhzBYmPxoDD8MKLgjQfJShlTrQ8yUMwx6DlphsKbj59xeYpE+iv7O59777r3/x1PdqxBComAiBFx06InURxr5zl2/JB4JCcISDWaAHjgkVZUgcCmUa6tHOx59GRU/jOD4HpZe+az7Lcd8jFcvPo/Lb/4kBaq/No6bQ4YBQeCgVqlL5Polir6HX5ouorIvKblF/NAjX86MvOHm0ZAjJS5rEMrbm6nj09+VnHUpI8lZkunkrBfHgUe3sHG4j1lzR1dN/Np1N/LQ+s385sPvoi5WnS/R0HSaYy279PRrKZfYREiCRHR21W0BGqMzUEjRFJ373Hsdydms6dnCifMPpy3Zys7sAI9t7mSouA5dRFnWuj+NcYuEHlB0sqztWkHciJCoUalzPDqSM8g7JaJ6dYvoQghS0SYC1cKoIV4+mmjBc4uoNZRLtIwkUSNOMj4tw7AvSZpJ0laKlngrQghOOfitOF4JU5+kqKmpmZz1RqaTs148Q0oObV5I3h09s/ORDVvY0j/AUKFUtdH3Ap+BQh5FiJrKJebdEtvzPqaZqardswyXymQLcfpyz2f0DhWLlB2Fxc1LOXjGAfTnB/jUX3+L47tINCJqE//16rcB8NN7v40duihugB9O/ky/J1Ok7Lk4voeuVXeblr0SWwpDFNDZ2LOSuc1LK/5hLdtDBL5NGHpVl0sMAgc1LBG4k6/vPs3z2IFN3smh78rsPmq/qj0cEzN1jP50ctZkUjdrA23hOrTYEDBvr+25bo9ib4Br1+D+keC6Rs3lEgPpoao2oahNhsH1FDwviuM9fwtcevqHWNO7gU/e+DlMxcT2PdASqCLkRxd9mf1bnn+qcEMPT0pygY9O9b73idAiOzF0b9fKRXV4AeTLSdoNn1/d/RXOPey9HLWwsjjubr9MEDqENayVyF16PbIG3Z5pKicIQ0IpcYPJn2zArrroU2chdzo5azI5sGkGfdlNtMZGj/ee3VjPcKZEfaL6x0pd1WiJt6EKtaZyiWkrScqKMitdWyp6YzyNpcXo2E0e4dEdy7lh9T9JWymSVgJNGDRE2hBCZUnbvD3GWRedgSoiRA2D1D6IVplZ1zwiw1ClewcgacVpiqaIWyaWGCY1isrpWCTirThebeUSdS2KoSeJWa1Vt52mcmJGjJRVR0tiX8kwiKk0059OzppMGvx+TkyqyDHU/DZsGWCgv0TfUJ6W+uoKOThBwKZugRCypjj94dIgfpChL7+tqnbP0p3Jky+pbOobYrhYJJAhf1t1Eyu7VqGqHhKXa99+zZjt1/X3sT2r0pbIUHQL9BcGaIxNntRtZ2YnXuhT9sroVZRLBCg5GeqMPhIiiklAsVy51IRT6iEMPXzfrtq947oFgmKBsl99fsA0lZNzcvSVhrGDffdEJafIQm4tyVkvyZkJIV4vhHhaCBEKIQ4fY5/9hBArdvvLCSE+tmvbl4QQO3fbdva+GGe7SNHiGSTH0GCp77Aw6xUSiepnhaoQRAxJ1JTUYifjRoyYolBv1paMElEj+LbK3as3cdLXv8EZl/8v67uKeF6M97zqEr51ztfHbZ+MaAjVIe8r5HyFN/3+Hfxp5bU1jWU0DCWBIiNoNWTGmrqFjsAQOpYQxKpI2HmqHPBk0SasQQRPVU2QArUGLf5pKsfSLAxFkDD24XWWorq/fw/ywPuEEA+Nt9NLNdNfDbwO+NlYO0gp1wEHA4gRGcqdwO76vd+TUn57H44RRY8SExaPbruf1vIQB806ao/tdekoiZSBqVd/GRVFkIiYI3HwNVh9XTWI6hESZm31QSOagRLq6IqGpRuYpkZzPImftzl85qHMaxg/AzlmJNB1QTySxlAN7PwA+iQmxyStBIpQazL6uqITNSJE9AhmGGJWoZjpqVFKflBTRJWiaCiahWpMa+/sS3RFI25ESdZ471fCVPHpCyGagQuBi4FG4C/Au8Zr85IYfSnlGqAaV8ApwCYpZW2+jBpZUdzGtmCAzLobiG65ay+j3xdkkKmAgVKBtvp0VX17QUB/fiSUNggl1dqYgdIg/U4RPbNz4p1HYUdXhuwOjyBdxPF9/nHph1nYXrn88bZ+l1ymjQ8f9WaG3a389onf05vvq2kso9Fb6CKQIWXffi4buFIcN8csXZJWHAxF4NmVx+s/2ZvBDwNKnl11/eCym6M/zGHa+yibbxoA8k4e3y+TKU3e/bYn/1az94noBK4BPiKlXFVJg6ni0/8P4A8veO/DQoi3AY8DH5dSTnph0pxoZkd5Ay46SmRvg9jRkGS4nKcpUZ0EL4CuqKStOJqioNYw06+L1IPQqYtVvmh41W0P8b/X3Ex9JEbgheDBqQcs5qBFHcxvrU64rTnWCsEGmuONiGKA76Spt2rLGRiNllSSolMkUkPh9riZpNmIEtFjeG6WrdtuZmfnXbz6+K+PmQG9dvt93Pr4TzijNYXt+8SN6uP0DT2Bi45lVC/0Nk3lJMwEUS2CpUV441Xn8fGTPs/hs46cvANIkHJq+PSBrzAyy/+pEOIa4E9SyrEFtdiHPn0hxO1CiNWj/J1fZT8GcB7w593e/gkwnxH3TzfwnXHav08I8bgQ4vH+/uqKgPeWbDYXJd3lkL6Su9f2su/g4+H6NUj4SontBpQcv5aIzZFFziCg6FYWLnnX2rWs3r4Tzw/IFcvkSw6+HdIQifOOU45BqTKCqOj4eL6B4wXYbohtpyjZk5cL7wR5PFkiqCH8UcqQpJBYIsRQwfdK2E6W8WJjy06eUAbMNgP2i4Y1hV2GBJR8h6JbZP32e/H9yQ9lnQYCGRBKHz9wCUKf4VJtWenjI6r8e2mQUl4mpTwQuARoAu4SQtw1Xpt9ZvSllKdKKZeO8nd9lV2dBSyXUj4XEiGl7JVSBnJEv+BK4IhxxnGFlPJwKeXhTU3VFcoeLoDrJHGcCMP5vQ1GwcmD8Ci64y6Wj4ofhuSGHbJDNmEN4j7Zkk8+M4ee/omjhjb29fHf11zDXVvWYNYpfPytp/JfbzoZs1GhKKovKQhQDvowrGHy7jDZskvgm2RKk2fkTFkgrjj4QfWlBx2vzFDgkQskp5z0fWToEgb2LrmL0Tl4wVm875wracpp1GdVZA0x4LZXZtj3yZUGuXf5T1mz9faq+5hmYpJWip/+x+85YvZxhFJScPZB2cR/4UJuJYEtEw5XytVSykullIsZX4RtSrh33sgLXDtCiDYp5bP6ta9lZGF40pmZmsW6nl50VaFjlNJ7cxsbKbplGifQpB8NQ1OZ2ZJGUxS0GuL0m2Ip4nqCOQ2jp/zvzAzwqet+RkdiFpv7h0maFu2NaerMOKcetJgNPV2k6lQWzh5dYmIiFrfW8Uy3ZFZdCk1RiFmC2Y2TJ8cwKz2TolsgUkNqvWUmiWsp0vEZmGaaWLQFpBy3LKUQgqiZJJGcg2tnWXv7L2g/4EQa5x5S8XFNI0lJJECYGGGO0Kjt2k4zMVEjRkfdLCzN4tHtD7Oq5yk+f9qXa1qA3xvxr17InTCwZSyEEEcBnwRyjGjwZIBxL8JLYvSFEK9lRB+iCbhRCLFCSnmGEKId+LmU8uxd+8WA0xh5dNmdbwohDmbkeX3rKNsnhe0DRTJ5C1CR/t4zzp3ZfvJOnpxToonqDJ4XhPTbWRRFqUmGIWOXyNkunZm9lzIGCjke2bKGzQPd7BwMyBY9Qk8lYUT4w4dGLtWj29egNuTos6tzeT1L0dlOQ6yLojPAYDmH1HoYKI7rSqyKbLEXx3dxAxutyrKFgVsiWrIRcggpA+zyICB3uWzGv85B0Ub4AscdYHjnmqqMft4p8mD/MClTEMgi+xcGWFbVyKephsFCH45vs2FgPaEMcQOHiDJZ+jv/OqNfQ2DL7lwFfAboAH4AXAR8HzhmrAYvVfTOdewZfvns+13A2bu9LgJ7iaJLKd+6Twe4C1Xz0DQbhI8xinhfqS9Cvt9C+rXMLiS6XqopXBNAERJFs1HVvdca3vLL7zJUzCGEyoFzmrnk+HPQFJWG3bTzBWJEMrqGql0ApqJgCIGuqCA1fN9AhpOhcDhCUtXxCBE1zLhUoZMI2zHlyIKqIkDKyr5UjswQhi6qNAjC6lxfipBYWhldWCBBrfHaTlMZbYbJfCuCrmhIQtRJmp1LptRCbmGXPUUIcYmUMhRCjBv9MBXcOy8ZHekETxsqpiHoqNvbhdOeqqN/uEgyUn2SiKFptKVjIyqbNRiHhBklYVm0peqRUvKDu65DCOjJDZCORghDn4RlccLCJSzt2DvmvikRIWqqtNfVNjOKmW3oagzLSNMQE1iaRXMyXVNfo9GRaKXkFmuSylU0A92IY0QTCKESsRqRhOO6d57FSKRwS3mEC0Y8XdVxY0aU5liKhB4hbwuao9PunclmQ9dyVm69B0szKbsl6s0ooRpBoqAqkzfpqGFxtlEI8fhur6+QUl7xXG9C3A6MFmr3+RrWOXfnRiHEl4BfAVIIcQowXS6xVnYWNiP1LhxCuou5vbZv6h4gky/Tm8nTnK5OhsH1PfrLI2kH2VKRVDRW1ePdQDFLwbbZNthLV3aAPz5+F4oikQRoioofBvzuzV+jOTG64ck4W6lLrybrtDOyVl4dK7szrOiJsXUow0CpD58cXbmuqvsZi5g3QIQAP7CrrojkOlkyzgb0XC9SBpQLI/HcYeijTvAjkg13IgjRQ41iledTdvLMUHzqNRcjbiDcSY8ifkUShgF+6CFlyANrrmP7wFpUAYrQ8EKP+wezSCQfDWxi6mSUSxS1SCsPSCnHXISVUp764sY0Jm/Z9e/bABv4APDO8RpMG/1xSOh1BIGBpkBM3zv2uiEdoSefIR2vPqZbVVRMNUUQCE77/lf44Iln8s5jT664fcqKIYCSn+fiX30KTUmTMC3ed8LZtCbrcQN/TIMPoMvZDGVmIPwFVY8dIGE04PsmKauOqFagJWozOzV5afFt0RSeX0arYfamaXEs6okazYBAV2K7ZvoTP1FZYRKPAqESokWrMyAJM8b8qIWpRXD9Imlr8usMvBL5zZ1foD+zFQiJWGk0Aa8+8E20pOeSKfVzlp5GUp3cxsRMjeQsKeVe8r9CiGmVzVrRlAhgjPi/A4Of3HQPM2eYhAQM5n2EJtENFVWt/gYRCDRh7oocD/GCymPcl2/ZzkMb16IoKgoKAoGlG9TFk1yw7PjKzk1VKJYa0dTabgFTVyE00FUFBZU608cu97Fm613sP/vVL1p4LaIZ6Pg19SOEgi6iqEoEIQSKqu0K15y4L0XRUaSGVDyUKq+NECqNVhRFi5EvlV9EKcxXLplCL2t2PEjMSiOEoFge3pXvIFCESkSPYas55rcdQkt6zr4ZxL84OWuswJYK29YBJwG7+5+/IoT4f8AKKeXKF7aZNvrjsHUHDHe1QAiDvsLyR26ncdEAgW/ie3FiVojZ6DJcztNeV53/1g8DBrIQeCqBa9LVP2Z1s7343B/+SufwMKrZAF6AE6b51Nmv45yDxkxX2IuMt5m65pUUZDO1uHd81tDRtJaCtx3Ny9Ku6wx0P8jdXfcxo3kpiWh1OREvxLGHkTIkCNwJXTJ7jc0tEgQudjGDlCElPwNQUfROVvQhjBAtUCl51SX9mEaC15z2Mx5e+XOGindTKE8XU6mWe5++hme2379HlroiNKT0eftp36YxNQspK3tqe3H8S6N3Rg1sqZBbgGcYCdl8Fgs4HOgDpo1+JXRmevjwn7+C6i/AUDQ0TaWtMclhs+cyd66OFwYM5gKe6d7Kpv4e3vXt3zMjWc+mbQP87tJ3sHTexOXydFUjYdfhBD6Fsk9rBSUHV2zs5B1fu4qOhQksXcPPS/QgRsEJadSrkzVuTzQT1TQ6krVpvy+un8mO3qeYlWylKXEoJSfH2u6nKDpZNK16WYoXMqCk8YMyohb3jhXFjwToSRNF0ThgyVuRMqzoxyMwGvHJEhcSK165FtGzCCEwIs04UsG09go8m2YU7lt5Fes7HxgR2NPjmKrOAbNOIBVrJm8PkY614Hgl6pMjAQn/CoM/hcolalLKd+z+hhDiOCnlR8ZssM+HNAXJlHMMl3OIfB7HCXEIKEU8vvimc/bY741Xfo9iySeXLRIUJcP5En2ZfEXH8IOQri1lpJD4MmBrdx/Lt6/B9kIWNs+gKTHyI1AoO9y/ciOtDUkeXLWZTKFMwtYol33y23z8iEImL1i7YzONTQF9hX4Om3H4hMVHyl4JBY+is/cCdSWEboE2XSHwbdKxJs469D38889vZ7g0hBe6RKh+nWN31ucHcX2bsAY5hCBwKYk+nk3AnTO78jW0/vIwauAQ1VVcv7ZrU3Ry5DyXwdwOGjIt1KX3rrr2SsX1HdZ0Lacp3kQYuJS9El2D6ynvug/NMEAlYG7rgSyaMWao+b5n6hj9/63wveeYNvqjsLRtEde843K+ctMV2Po2PDeFiO09u8gOCNySya8//lYOnjuLoVyRWS2ViW2FYYjj+c9Jdzyau4v7/nwrgR/loI65XPGWjwHw3T/czs///iCqrhAEIYSwODaDi889jDd//DcUCy6h73Ljzu9xw06BEwa8ftnFvONV46qrUvbKhFJS9qqXkADod8r0eR4593m31FxDoZUIYhJq5j7Sp+IFBk4QYFap2ByGHlKAH+6dwzARfXaJqAip0wW2X5tERUoEzDJ1OjffwM4t/+C8M6+sqRLXy5E7n7mOm1ddw+xIlCD0CAFfmDiezxuP/SRzWw/EdvOkYtUXtZ9Mpoq0MhAVQrx9tA1CiHOllDe88P1poz8Kg4UsX/rHbxDCIBExCbUY9bEkb//VD2mvN3D9kIGsIBmzqHNiLOpoIR4xiUcq/2Kbusa8ufXYrkehZFMfSeKQpyMxj7ZoG2/45pXELIOgHBCLGrxq8WxMXWcoW+Tikw9j8dwWmjss6tMRerolcbWeeMzCMpIcNfvoCY/fEGvC0CL05nv58i1f4DOnfKEq3flZ6Q629EVpjD3vu29LdJAtDWBOQhTFnIZGCk6JqF5D2UIjjm4mUIw41939BU485H3Up2ZV1DYdb8d1MvhCMGQXuP6+r3Lmkf+FaVTusupoP5JcfjuF8jAIgTJ+MMXLnjU7HuKR9f/A1KOUfQ9Ls2hrWIyh6th+iUSsncFCL7OaD8DUo5g1SG9MOlMnOeuwUd4TjGTqLgamjX4lbOjfycqdm4ioSfK2gedIym4GT5bYPJzH80w8N4FBhJLvsbarB1PTGSoUiUdNdEVhqFRiTmMDyhj+R8f3GY7kUWI+RqNHSdmBE5R497Ef5vJrH2TF5h0oKmi+iiM8jj90Ae99zXHPtV+9cwfGkhJYNnWzi5TCYfySwe8u+kVF59hXHCTrOqzrW4MT2AwWB2lPdVR8jdxSH01KQC7fSTk9m4iZwC73gl/A80oYVfyAjEbR3YAfenRnttKcaCfwS0QrXBz2vAKulyPjFch6ZboGnqEuOZNisYdotHnUqJpQhvTnuhgsdEHosc1XiPub8H2bTKGHlvrKQ1sbGxZz7FGf4883vQspJWHooSivnJn+UL6LiJnE8cpIGbJq2z10Da5HAj4KIvSpT8/j9GVveqmHOiryX6+9UzNSyo+Os+2bo70/bfRH4cg5i7n8og/zy/vv4/GtW5CBJK4muPS1F9OcjBOEIYMFh+/deiubuvt53//9jrpIlMFCiVijimWqOKHLR045jXceO3oIpapAfeNWwkDgBYIT5h7Poob9eccP/0hC3eUPF1DXGOH7l1zMcQfuaXQSEZ+m+o3ELZNc2cEUKtEqtOfTukmdJkhoOmU8jCoToFRFJ5Rw98pf89Azf+ID5/0STdFwYFJCFWOaCUh+dfvnWFbXBH6Bk47/GsnE+BW9AGKxVo44+vPct+EW1my5mxIa3d0P8dRTP2P27NNZvPjNe7W565nruGnl1ZiqQRBKLjz6Y6zb+HeGctswasgKBkEuFMhQUlM9zCnK+s6HuPGRy5FajIKdwwfSZhIhBKcc+FZmtyxluDTIgpYDX+qhjs8U8ekLIWYxorlzDCMz/IcYKagyZsGpaaM/CkIIjpy7mJtWPYOpdRERBs2pBMcvPGCP/X7/yEP0ZHKkMZhRVw+9AzTVRzF0hc7sIGu39HJ5zx385+tORgiBHwT83123sKRjBiftt4TWlInj++TLHo7n8kz3DqKmTmsygYpCLKazeEYbpxy6/15jtHSL+rgkZuiEIkdLopWWKiJxIkaMmGYQN0cKuZhVFiuJR9Koik5EM4laI9nIlpUmkAGq8uLdGW2xRop2Fl2RoJho6sTZtLtTV7+Q+sQqfKGRMOKoqoGi6OhjuA5akjOJmcldRj9gftthbO18AL3Uh1pDIRchFDQjRRC4XPf4zzlm4Zl01L88F3QHcp08tv5GUtEGcsU+VEUnGmlAUQx8GdIYbyVb7GFO64G0pOfQWjf3pR7yhEyVmT4j8gu/YqRkIoyoEv+SkWqDozJt9Mdh+2A/TmCjaVl6y8W9tu8Y7sORRa74wNtY2jHzufd/cMsdXHnXfVx3+yr8IOSiEw+loyHNup4ufvvwfTQnkhwzfwGW3IkQIVgh925aTclWCaN1JJrq+NtnPjXu2LKlIQzpUnCyuIHHmQe+nlMXnV75ueX62FH2SAWDeIHLcHmYRBUZpIVSL7rwMWRIYI/o6A/me/D8MrZXxHiRftlZ5HB0HzuUGF4RJXSxS0NEI00Vh6Za3hAHx3VUbxg70JC+T6kwuqro0plHsHTmEXzv2jcRygAvsFkxsI3+/DBH5ftIRJurCokNZcjmTBe+lPjZ23F9hzcf+18Vt/93R0o5kvAmBE9suJmVW+5AF4JASgJgZqKd95w+Rc9XMpV8+g1Syt/t9vp3QohPjNdg2uiPQ1M8DVJFUwWN8b0XJ1vTBkNll4YXbHvLsUeRsCyu/MNDDBYLnP2dHzCnsZ7O4X4iSQfNyHPG/32IlkQ9quIRyCHOOmApC5uWUbI1Dps98YwwatWRdXXqYwm8wKE5Xl25w7TRgWOnsP0OSk6JqFZdTHnMrEMgUBUdY9ciZ8xKUygHmNqLX4hrtxooOXkK0ibUTELP5bHHv0lj00EcftjHKuojadZjSoWEWYciNEQgsCbQuI9baRyviK6a1EXqyRa6uf/Rb7Kl+SBOO+qTFY9fCEHMTBIGLop0mJV8cclq/27c8eTPWb31DizVRKgjn/ch88+iuX4uRTvHoo7KEwX/HZHhlKlz3C+EeAfwrOF/KzCuXvq00R+HQIaEUkGIkIC948UlPkJxkS+ofFUfj/HOE4/lit88gAwkUkK+PFIhS6gOwa7dc66GoYaoGjQn6jj/oBMrHlsYSnK+IBVKTEWp+ibVVQPfTeL4deRLMWSVRRt13ULwrAztSEC8JAQkT265k4Xth9OQaKuqz92JKQaKpqGhogqJg0TIELs8xNZtdzBzxvETunuEDDFRyOe2oyg6IhSoEyyoPnsOEomhm2iKABniuFXG7EuJomhoBCSEhlZTUcx/DxyvxNPb7iUebcL2SoSBQ6bQ+9xsX9n1ANTWuIjFM1/C2PrJZOp8XO9kRD//2UXbB5gWXKudgr+DSLQXodkU/b1jvnuHwS4nGC6VaU/v3T512DPInEEx185AZ4mSDW6xAbdOwxNRSsWAwFUIvTlsTqfGKfq4N5lyHt/T6cqpOF6a7nypqoIdJy48mDs+ejkXXvFVFC9HwSnSlKhcKfToJW9iydwz+N4/3o+yq+RirpSh6DncvOIq1u58nHec/OUqRrQnx5z8NbbtuI8nV/8Sxy2CHxJBJZ/vYtUzV6EoGrNmjv8j6bp5pJRs3nojACef+SMMc/wqZyuz/YShj+M7vP2Ez9A3uJ67H/oq0qss6e5ZFEXl4+f+mK3b7mDNmquJBHu7B6cKKzbfzj2rfocvNcLQw1AFpmIRSjj58A+ysONI/MB90RFb/zZIGKey5r8VUspOnvfnV8S00R+HjsRc1tCPESRp1veWVmjTGhl0bBqsEUPiBR4f+9sXMTVJrtzJWUuOxw9MBgbj7OzJ8tTGnRimytx0A/NnNrB862ZcLSSX95lZpXZPY6yRiFpP0ogzFGS46sF7uHPNWr75uvdW3EfEMFnQakC/x9fv+Byn7Hcabzi4sjA6IQQxK0XcqkNXNH79zw+yeNbxlLwST3c+Smtq4iib8VAUjVisBaEYqFoSW+ZpaTkMO7TpGVrNU5tuZFPXY5x05Njuy5mzTyLwHYaH1yMUBb2C/AHTmE3JzWNqURShkIo1EzPiNCQqD2d9FlXRiMda0FSDaLR6SYeXkie33M3tT/2BhmgaGQYoisGilkOImHEIPeoT7WQK3cxuPghFKC8fg7+LGspWvyQIIX7JKEJBUsoxZ/vTRn8cOvtsMsMxAhuCwt4//Vs3Z+nutHn4qa0ce9A8rKhgbe9G4oZEUQokTJXj5p5CruzzvVtuRcZ9CkWfXKHMeYcu5JblawgDiesG9OWqm0kWHYfhvE4YhBQchUKpj7589bIBOX8zaD30FQUrdz5ZsdEH8EOPvJMlpqoUPEnETDC3/XDW7XiAYmmg6rG8EMfN4wYOpSCP7RXpWHg2GzbfTMGzweuiUBpgoP9p6uoXjurqSabnsPSQ93DXTR9ASpBhgFDHX6BbO5Cn5Nk4gYuh6QRBGV3a+M4gW3pXM7v5gDFzL0bDc/MEoUuh1MvA8CYa6+ZXfR3+VZSdLIViH64UrO9+klx5kNDLAgI/9KmLN3PKsn9J0bqXniky0wf+sdv/TeACYNy6pdNGfxy67izTucohLIFbp8MX99zu5AO8fMj7v3QNBy5s5y8/eAd2OQ2+yRVv+k8+cPXP+cmda/C9BKmoxIgWidcNEUY7+eyND/Lf57+Dsm3wk7tvRbGqS/lf2NzBH9/zOX5y3zXcv2kljpfAofp48pQCUtdIahpNWpURC1ISFSCkxJUSL/DJ+S6bymUUpzZ5h92xA5+8H5CVDo7n4wU+Rxz0LhbMejUPPHwZmgx54tFvMWfe2ey3+A1j9uOqI7IQlaxbCC2LivPcOoUTBPQ4Hjm7mzvv/hKvPfIjLJtT+dqLDEK0QGFj1+M8vf1+zjvpm6RqeGr4V3DXI9+ma2gj2x2PjFTJOTb/sfRdHDPvBIpOjuYKs5qnOiPrVC/1KCpDSvnXF7z1ByHEA+O1mTb64zB3RgPLV3SiGRpzO/bW1LngxGXc+vAaNm8eYlZ7HRHDpDWZIGIY/OT+P9EQj6MKm4TRzPzmNDszvUSiCSwDNgxsZH5TC2VHJx7RGHa28fU7v87HT/w4eoWJUnMaWphd38Hy7euIaxEaE+P7q0djZqoDApcmXWVBurovtaFHWNB+GI5bojezhVi0ibpIPboeoT05sdLoRESsOlBNYmqSgBwRM4mq6jTWL6S95RB8r0Qps4NiYSdPrfgZSw96z16JYUKoWNEmwtDj3ke/w5JFF9DcsHjMY85Mt5Bz8kR2CdbFIw3U1y3ECCA3uImoma7qHNJ180gkZiJkQN4ewtRfvALpZDCU3cqKZ/6IHmnE9YpooYOm6MSMGB3RemZbjawf3saSjkNJRhtJRquLDpvSyCkVvbMHQojFwLjCRdNGfxw2bh2gWHIRisemzhF3he2VCWVI2XP52BtP4riDFnD+R3/Gxu197BzuJVSfYdiO0pkzkH4DXhDw23d9ksb48zHw37jzuzzTn6Ez20mxFKfsOTw9cC9eX5lzDziP/Zv3Q60wq3XrwCAFG3RzKz2l6j/OYqmXFsXnVbpF0q5O/10RChce+2nuXP1nnu5dTW++i4iVpE4E2MXeqsfyQgaL/XSXiwjVx/Vt+rI7iFtpNFXniMP/m80b/sHGgU0MDj5DGHrMnnM6ieSsPQy/lAG5Yi++DPGL/ZjbUlixDpLW6IvWPfmteIFLySuRUlOYRozzTvgyv77vWww4RQaL/Sys4hwSyZkcc+JXufuu/yYmy3huFuslqqgVyhDbyaGqOls7H6RnYDXFEFRCYqqCpUUwpcOFh72Lxoa9EwJfUUwR944QIgfPB9IxoqE/bpLPtNEfhyu/9x/c8cB6Pvezv9HcESGUIZ+97r0MlR12FEMuPOg1nDbvNcTmqDC7xBuuvJzmRp2oAbpS4qz9T+ewWUfvYfABIlqSIND50Z13EvgRfD+Cb7djh0N85K+XcuzcI/jqWZ+uaIwJSwcRQhCtKT7+kpP+H9t6n6J7/Z+wjNoyaaUaIeP7BIpJ1IijCUHMePGx+qYexZeSuKLjY3Pl3Zcxp2kxHzrtfwCYNfc0IpEGnljzBzzP5fE7L6NlxhEsPeKS5/pQFI3jj/4C23pW8ti6a7ln/f10PnkDP3/Dr2lO7D0hShpRiq5EV/b8aiyLN4AZY3YkXdO5DEuNvOch1ZduwfOBFT9nw/a7EULFVA1CJAfNO4OOloMJ/RJRqx7HzdFQv99LNsZ/F6aQe6e64txMG/1xmdGe5oKzDuRb199MolHj+7fehiJMDE1iaZJiUfCX+5eTaDSIRnXcQCNm1lNvmdhOH8tmLODw2XvPmGbWdWCoUdAMAqFi2waGGscPfRQlQ9kr8avHfsN/HPyG59wMYzG7oZWooaEoOvEJwhFHozU9C0sRdG66FvTaNPBNzcKVgs5MP8OlRzFUHWsSlDZjVgpds4iZcbzAwWFPiQdNM2mbcTTRHfeQ9wOE7+H5JTas+yvzFpzz3OJufd1C+opZ7FBBKBqWZo7pQkubCRRAe4GURFxLMMOIUOjdTJ8LzXPHrIE9KkKL4gqD1ZtvYW7b4bQ1ju1imgzKTp4nN9xAQ7wV2x5mwPPx7RwCBcuIY+pRHHuI1ob9mNF80D4dy5RjCoVs1sK00Z+AnJsncVA/ed/lqgcfJFkfADr/fP9PeM2Xfkx3ZgtaVNCfEdieyZtP+xjnH3bwuH2+9sCzOGv/U3j1dz+JqmWJpsqUAh2PMqp0Wdf/DCt7nmBB4wKOnzt+ssvbjjyLcw88jrN/9DlsJ1vTOQ4VB9hcKlHMdFNZhd096S70kvVd/rbmQer1gGVJQbbYV9NYdmdmwyK+cOHv+MXN/0kYegx7Lmq+e6/9Tj76M/R1Ps7qh37KUHYdfcMrSdfNp6n5+cyF1QND/GWHyv4NRRIiIG9nqIvuvU5TH+ZJqQGeX8bQnl8YDzNlooUU/Wsfpp+HaZpzaFUVnAYKvZTcMqs33cTOvlW8/pRRBRAnjY2dD7F8/d+pMyIUPJudrsf8aIKIAkctfTNzZhw3cSevZKbITL8Wpo3+BKQiMSKGgWHo2I7knP3PJKrpHP3Jb9EYi6OhoAlBS4PHsDPAzObKXCSWbvCFs9/Ixv4N3LHhBhqiJgVHcMaSC9g8tJkVXU9yxQOXc/vaG/jyWeMWwiFqWCSsCLqqcOLlH+bzZ7yN0xdXnukVseoph4INhQwXX3UB3zj3u8ypQhzs1P3Owg99bl3/EIPFITodjwZt8vzWoVFPOeymECq0mKPLRTS0HsicA86lK7uGwvA6nlj5E+rqFnHk4f8NwJy6FM1Rj4iexPZzJK30qP00x5spOwWMFzz1zDzoDKxEIzu33InQDKqtoXraYR9gW+9Kntl8C5HIvlkUXb3lTu5e8UuiVhpCD00otDUfQkNqJkO+T3OskcAepKN1NAn2aXZnqi7kVsK00R+FUIbcveFRGmP1bB7oxg1chJSEAST0GIZQcTyfsuPhBgEyUFDNDJFIN750Kj7OOQcexQObbR7eXsTQFMygQHuqmR3ZrQTSp+QV6cmPG3ILjBRZd3wHLwQv8OnOVlfQ25c+Wd+lGBawfZuCU6iqfV20njce9nZuWn8nHkW22D7tdnV5B+OR84r0ew59jkeynGPF1ntZOvNotN1cNKpmMm/J+XQ+tplS6KH4IfZuC9OKCGiMlJAoeIFLMEZ1rzCwEdJFhsEeNdSjqRZmHHgqm7f+HUVWv/Yxu+UgomaSFRtvxKmxWtke45QhW3Y+QjRSR6k8jKaZ9A5vIAg9yk4eBYkuIBZtYNl+r33Rx3slIafdO688Ht32FF+++f8wlSQl1+GLZ7+X5du2ce3yh3lgxxVkiini7R2ccMAiPnvG60DAnct/wKbeHpKUJj7Abhw779UsaVvGJX/+MEOO5Hv3/YT9mxbyowt+wPv/9Hn8YGIXgh/4+LKICEasVN6uLuV/Zv18vvy6X/O/d1xGT3GAglObwZ6vhzREdHKBghFW/uM3EfV4zDA0CoFP3Bvgzw9/nyD0OWzeyXvte9xhH8X1SiiKgrpbUfVDZx3DNy+8iktv+E8CGVLySoz2zFByigTSxw89jBfU+ZVhgGOUEcJh5Pm/utl+4JdIqQpG+OKN/o7eFdzx+A/QVQsvGMnxUISGpQhetfgCls47Ez9wiZhVr/NNA9PunVcai1vmc9y8Q2lPtrN1sJdf3rQCMx4SMQxMrYWmpGB+/X68/rCjScd3RalEOrDlGtQx3A/jkY7UMauuA0/6+IHEUCRXPPBdTpx/JIuaJ67YlLCiXLDsRAayeR7etInWaPUx8nEryQENc+jPbKFtlKiWSmhOdiDy3QjPwSTkJ7d8krec8DkSkeokJl6IGW3BLA7SIg0aonWEbo6G2OiqlYqiYu1a0F6z83FuXvFb3nD0f9JRP49kJM38utlskz51Y4xpTt1MSm4BU9t7UVtRDcxIAwHwhzs+yXEHvo1ZLZUrHkXNegw9hidUfnXrJ7jgmE9QF6+8BkIms4mVT11JNNpCoTyIqUVoTM9HVQ00zSBipsgVepnXfiSGHtnLRTVN5UzP9F9hpCIJ3v6qi6mLxFmzo5f33PJb6polMuKxPZ9BypAb3vNGIrt9qZ7s7+GB/hIH9m2hPt5CQ6yyAunPMlDsxnYzhAj689tx/BLvPeYCDp/5qgnbKkLhk6e+lZ/deg9/7+yhs7c2ca/QHqRdkwxmttIYayQ2ht97LAYLfZTcAhaQze/E9UsM5rtftNHfnOuht5yjVdeJhyVQfJwKFq03dK+gL9fJ2u4nMY04jfFmXHsAS9rsGFjP3OYD9ooyivpDmNIhCBzUF0T4hKFL2R4iF4QMey7be5+qyujbXo6yV2Q410XBLdKf2T6u0c/ld6JrUcrOMLoep7dvJYViF2V7ENuzUWWIqQpOPbpyyedpKkBOnZDNWpg2+qPwxLaNfOD3P0XL1tE/YOPlJa5lEkrJ9jXzRm6Kd6qwm01QhIKU8KMHfsJVT/yW697xh6qO+a1zv8fyHY/z/fsvx1AEAYJv3v0DGmNN/OEtv6qoDyEFgUfNBSBSukZaVbn5iZ/xwDN/5iPn/qyq9h8+4xus6XyC6564AieQ2EGIrCLCZSw+esqX2NS7in8+8gN6XY+S55CvYKHtrIPfyuIZR/C127/Ib5f/livf9GdiqkZJCH5z39eZ07SYS069bI82oWRE+nqUgimaFuGE47/Giq33suHpaylWudjXXL+Ic47/Cnes+hODPU+Oe21y+Z3cfu9nULUYjlsgQCEUIGTA/PYj2X/OabiBQzL+7ynpMOWZnum/skhGLGKmTktrkogSRU1qxNM62+x+UmYcFQVD2zNj9vCZy1jftwVBlsZY9TPbxlgji5r3J6rHaIy34/tF7JyDRQMf+eEf+e/Xn8rc1vGjPlrqY0RNlR57Cz+679d88Li3VSUOloo2EdMjCBRS0erdVHWxJuY0LSCmR0hGUmTKkvgkxOsnrTQLmg4gYcaxlAh53+fRrQ/SlevhvINeP2Y7XTNZ0HIgi1sOxPVt7njs/2irm4MQgr7iIHWR55/GhnM7WLHurxhmCjVw9lgP2J14vJ36xAwU1aC+hmvUXL+AllQbnQNriL/A3247WVY8fTXRaCvZQieaFsU061BVC81IgFAp2MO0NR9MKjW76mNPUzkvrJHxcmLa6I9Cf2GAQO2mrjXKHz92KQCf+e7feeDW7UTbHSRQdj0Suxn+c5ecyknzD+fLf30Xmre39n4l9OQHGSxCY8zi4yd8hjf/8pts7jXJ9a1m8aw2Pnj++EJffU4PkfYBnhhczyP9Phcfci5N8coNU7bQRRDaCAml0sRRQ6Ph2YMssEBSIm2EuM4wMHPCdhPhO8PMMQLWlXMoocv9W+9F2XY/5x540bhlDIUQfOq0r7By083ct/LXLJp5HKcf/Daue+Cb2Lud48bt97K16xEMVUXKEM8v7+XeeX4sg7TrEq/cSxC4VdXuBRDlXmYaEqfUQxDOIwg8NFWnu3cFO7oeIlQMvMBGQyDUKOeeenlV/U/zIpmO3nnlccScA/n0qe/ioPZFz7338XeezH5zmvnONbfj+T66trc2jqJYbCumiBi1iWqlrTpC32LzZovX3PVjDC2K7hp4eYe0ObGswX8cfhINsSR/ffqXZO0SEb26gt4nHnoJ23qW8/Cqq/eahVaKYSTxQknMtJChM2nRI1KLs63s0ZiYxZFLTuTbd/8JvQoN95SVIqooONm1rOx7jCZDY2b8+SeyeitNSqjMn306DU1LsMYZd52VJiU0nK6nuGfbRzjujG9PWJxld3wtRsbz+c0jPyG+/DdIP8/sRB2h7yCkpLXxAGa0vgpFKKSTL64uwTQ18jI2+lOm+u+/Ek1Rec2SE5hZ9/wiW1NdnHe89kh0RUVBQYwSrieEIOtZFDyD3zx8G4OF6vTtTc1EERaKb430X7YwgwiBDc9s6OG6O1aO2z5hRXndIccTMQS6FqJUUcgbIBVrYdHM49FVDYHgjqf/SsGuLstX10xCFDTVQBcKYrJuMSEY9iXFQLBpSMEJooSycn0fQ49hqSqaUFGEIKVp6DJk24abCQIXTdGIKyp1iRnMaD10gr7ixIWKKgQjYZuVXecwDNi69VY8v0xp13qAlMGu09NQFA2JIJ2YwfxZJzB35nHUpeZUfI7TTA6SkZl+NX9TiWmjXwVSSoYpUDYcXH/v5J6S49HT1cyOHo0f3/MPfv/YXVX1P7ehg9s/fCXefSm2/97my+eczzGNi8ivDvjFtQ/xga9eQzY/cYx3dz5PzgkpuNXlDADYXokeu8SaTBc3rfwdD264par2jel5vOu836DqUewwoGgPVz2G0egtDvJwbpjrNw7zs/tvoOiWGCxW3nd780G88ZyriLkKUVuQyGt4/Z1sWP0n+rufxLYzALvcUePT0nYYp53zC6TtIV0X36vsOg8PrWXtmqtxM+tpNlQi+GhhGUNAe9uxvP7Mn3HxOVexbPHFFZ/XNPsA+fI2+tPunSoQQjBvZiP5ss3pX72cj559Mm88/nm5g/pYjA+fego7s53cvfl+ZtRXL4CmCIX5cxt4ckUns2fUseSdxxCEIfdv3ICjOLzhV19hVl0rvfksv3rbx2iI7+2GaIvNobfQyyXXfJKLDj6XNx9WeQlNS48h1CgxxSCQWZri1Zf5E0IhHW+lUOgmXsNi52gsaFzI6w68iO1DgzywcR3zUgZpQ+cXN76XEw9+NwtnHF3RuPY76M0M9q6id+tjCCuG5/ro0TpcJ8NgKJhpVrYIL4SCmW5ClgbQzbEXq7sH13HTw9+mLdmOXR7EEjpRI0kgfbTAwDJT7Nd2EEvnnVyVls80+xI5Esb1MmX6LqsCKSVZp0QpdMgUSzy9o2uP7UII3vvqE9hvRgK0YfJOpqbj9PUXKJd8Hl+1HdUUfO9/X0umYGMrJbJ2ka2DffTmMuTHqE6VLTsUbI+sk2dd34aqju2HHoN2HscvoxOMFCWvAcfJIaVL98AasoUXr62vqzrvPvK91McjGFY3M60sLfowtltgMLu94n5aOg5nxtyTCHEoyRJFxaZ7eCNd2Z1stgtk7cpdcnaYxSFPGHp7vu+VWN35KJ2DG9nWuxrbzZMv9lB2hrEDhzB0UWRA1imSdfI0Ny6tujjLNPsWKav7m0pMz/SrQFEU7vjaf3HD40/x9b/fhDOGfosTlEEEuEFtUgQuPloSvviLG/nhtXez6vrPobaFBEIj35tEbw6RUmB73qjtf/mmr7N824P85uEf0qhXl/Ift9Jc+toreWjNdTy56WZkWFskUsmzsf2Qu1f8knikgbee+aOa+nkhHz72w5x/wLlcc+enCUKwBZS86q5zsm4Ox5z5DX794A/ZMtzF5id/TSBVAgmOX/n59rslvMDDCzx2XzL/54rf8eCGm4mqI4v9hoCO1gM45+C3IKRE16NkCl0sv+UzFJwCV933DU5bejGnHzTt1vm3YDp655VHpjzMN+/8GicvPI1TF52+x7Z0LMqCjgYSMZ15belR27fE2rHUOI+tHOaJR37PDz9yMZo6cSWsoWKBT1/7BxL7CRq6I8RbdRbMbUQIwRtPPpwt/QOsGdhJY0wj7+X53u3XcvL+y7j48Ffv0U/cjNJeNwtTi5KKVx/9kYzU05ScgaFF2NS7ip2ZbbzuqI9WFfMfj7UxlOvCUBSSVUgNTISqqMyqm0V9rBkn9Mk6RfQaVCsj0UZisZmU+tfjKBaaYhB4ecxI5e6ohkQ7mUI3V93/XZLxdnbkOkd0+KVGgMXMpv2JGRa2k+XAuScS263v+tRcls48mpJbYlP/Gurjo8tKTPMSMW30X1lsHtzE0z2r8AOfA1qW0Z7aU4tmoDSMjA6zPddJb36IlsSekgs7h4sMZ1NsXdeL63YxnC/RlJ7Yv7++t5vl27cQS0RJnyJxsh59WgaAL731XG5YuZwv/X0TWc+m5JVZubNAzintZfQBevJDrM3aRPs66c4O0JaqzjBmin3YXplNfauRMuQ1h72XSBWJVv35neS8IroiGM53TdygCrzAJXSH2FZ2eKZYpG5gM4tnDNFYpfTFM4N9PDPssU7LE9NUBC4LhrazqG0YLXSwzASeV0YI0NQonptD1SOAwPWKUOqjbOfYWuzFHtxC3i0ggYKXYrAsOeaAV3HRwWeNemxVUbn42I9zy8qrWd+zguFC/4u/MNNMDv/imb4Q4lvAuYALbALeKaXM7KvjTRv9UdBEkny5jvX9Bd782//k8td+kWUdz1c6ihigaiVWdK/gwivv5/fvuIxZ9c/PZt9y5Eksaungo1/6O6VcqeJ6txFdR4iARa0NvO7QY/jcn68hmX7eYRg1JZqRQ1WskUBBxSVijO5Q1JUErp3imZ05Lvr55/n5mz/L4tY5FV+D45a8nhmN+/Onh76PH3hVzfIBNMVASkk5kBhicm8zU4/yuhMv484Nj/Dk43/hn2se4S8r7+Iv7/gF9dF0xf185pQP8cSO1Xzxxl+BrhCS45qnbuLOZ27ghLRJykrjezlMRSGuJgmcAkUNQhTKgUO3pzFsu6zPaSxuW8z7TjgHXTWx9Cg7s0McMfvgCcegqgaBlHvIRE/z0vJsyOa/kNuAz0opfSHEN4DPApXVS62B6YXcUaiPpUhZzdRbjZiquYewGkB7qpH6mEVdJE7MsLD0PTMyLd3ghIVLaW5IUJeIYhkTG71bn3mSG556hIih05ZKc8KiRTSmDVIJle/e9XN68wO0pRpoiJs0xhNEdJOmRIL2dAPfueO3ZMt7auA3xetIW03UR5NEDJ2oUV3WqKFZLOp4FbFIHREzgapUZ7hbGxYStdJoWgRdi3DzE1eSL1dXeH08murmM791KTGjnqSZIGHG+NPy33Dj03/jVw//FNuzJ+wjHUlxzJzDSRlpEkYSVcRpibeQjLVgGgkS8VZMM42mWiiqiaLoGNqIeqWq6MSiDehWIz4R2pPNHNhxGPu3LmVOwzyOnXc4ujrxNbOMBELRWT+4naufuOZlnf4/ZZCMRO9U8/diDiflrVLKZxcIHwb2aUbetNEfhRnpFq57z/cxlDT5sklPbs/Y7QPa5vGPD1yOG3gUXZuBQmbUfobjWYJ2h2x54giY79z2N/7+1KM4fpntw73k7Dyuupl+ZzV/X30Ht669jwPa5nDTh76FTxlHFvjque/DDWyue+pu7t/05B4GY15jOzd84FtEY0MIcyv9NcgqSCnpznUzUBrCrjAW/VmOP/DNvO74L+D6ZQaynazYfBtrdjxY9RjG4/BZB3H9e35O0R/EC4a4c8PNXLP8N/xzzd9Z3b0SKSVBOP6Urejl0KzV1EU2sn96gNftfxTfv+jH/MeZP+HUYy7l+MM+iiodpF0EN0Dzygi3QEQEHDtjGW858p2c3GjTRBeyhunh1mwXW8p5rl17N796/Goy5UyNV2OayeQljNN/F/DPSe3xBUy7d8ahIdqMDDppGKWWKkBCmcNOW5K2Ro/tnjunwFA+w2dveDtnHHA+bzz83WMeqzllUfJyvOOoszh+4RLakk185tT38NTOzdyw+n7qrOfdRw2xOnpyQ3zs2q/RkoqiaUV+cM8f+eMTt/Lbt391j347kvV0Z7fQOMY5TERLtAHbLfDjf7yPYxZfyHFL3lBxW8tI4KMS0SL4rkciUtsYJiJtttDr9fKGQ17LE50rWd39DB/7ww00Je5iZ7af777+3Ry34IBR28aNGPOiKRrNCBFZYl6yhZ7Bdfz9vi/jGE0M5ns5IG5SF29kUftxqFYUoWoU7SFmdhyDXc7QphnUhSVuvuU9HHfsV0gkKp+onbPkAuJmgjvX3kTBLRE1pjXw/x2owZA3CiEe3+31FVLKK559IYS4HRgtouHzUsrrd+3zecAHrq766FUwbfTHwfMhCHQe3boOScjS9rl7bHdsFbsc45annuHYRQtY1Lbngm80buMoWaQMyZVHz/Qsuja3PP0oXmAjFI/zDz6CxngagLOXnEBPtkzgRwl2uwnNXf7fQAb40kXVS3huipyz9xNFEARoIuTBTaspu4LFrdWpM5qqglQVwlBS3JW1WimhDHHDEGPXNyicYNZdK14AQaCCSKAoEUqeNhLOuSukdU3PMxh6hmw5Q12siZydxfFhbqoRv9xNWlVo0FQaFBOn2M2AkwUknm8jCSgFAUk9wuxFZ+51bNfO0KhqaATYMiAIqgtxTUfrueCg1/Pwhn+CGtb0tDDNJCOpJXpnQEp5+JhdSnnqeI2FEO8AzgFOkfvYxzdt9MehL+vheSY/u/8f/PHxGLd8dM8C5T1dBcqZgO/ceCvXPfYkf//Eh/fY/vOLv82TW+/njw9/H+GOXnf2+pX388O7ryMWsUF1KbolGkk/t30g7+K5MQbzz8eif/fCj/LEtg18+I8/IzSb+N2b/oeLf/Vf5J29/djbBjR6M6388O6baYo/xN8/8D8Vn78Qgg+c/UNWbbmb25+8gnIViUsAtlsklAFDTpGy7zEwxg/fi6V7IIYdOPzf/VdxUNti/vHeqxGoXH7Xb/nH6s3csfFX3LFxZF8PlZLr4YUm57akSSguMRHgB2WGQknPjjsAyQxTp6lxEcsO+RAKAmWMhdZUeh4nn/UTbrrvqwy6feTt7G6fXhV4BYzQx/NdLL1yTaFp9g3/4uidM4FPASdKKavXTqmSaaM/Du894ST+viLJiq4VzKrfO+TxP889mbtXr+f+DRuYldrbdaGpGonYDIp+GtWYP+oxWhNNGGqEI2ctpTERpSO959PCjHQDpmZyw31Pc9sDG/ntJ96JpqrMqG8gFRU0JUp8+9ZP0xCLkY7uLcnw7qPP57a1D/PIlg3MbqheEkFVNJKxZqQwicfbqmobs1JoWgxDtXBkhvXb76GnbwVvOP7zkyo58METX8NTnet5ovcOZje0ENFH1Ddfu+xkbM9lTqOOICBrZ2iItdBXHMDxFZJKCS+3nv1nHolCyM6+FdQ1H0bCSuF6RWbNOgmjAiVPTbNIJWeQKXXvEYtfDa3JDnLlYX5222c5YfEFHLHwjJr6mWYSkCD/tTIMPwJM4LZdMuEPSynfv68ONm30x+HYBQtZ2NLE+T+9n9783pfq/CMPZkFrM/94eBWdscyofQwWSzzVbxGNZVjdtZml7fP22D5cKlOyVeqsdv7rpPP3aj9ULFF2AtZ29ROGEsfz0VSVolvEFb24oaBczJBzI/jsPdM/fsEhzG1s584Nn6OvUF0Ez7PknTwDbomu3E46Bzcyo2Hiur0AtldmwM6iaQ4l3yaT7yRb6CKUIeokGv2LDj2OOU1RHvrnXxkoPr9gvV/LHL70mrG/O3+47+vssEu8etZxDGc2s7nrEbT4LA7Yb+/PYSKK5QEC36ZvaCOGESNepfHPlwdxvCKeV2Bz76ppo/9S8y+c6UspK/tCTRLT0TsTEIaSwDfwvNF/H0Mh0SICMYZ0fSBDQLK6exOX/OEbrNq5aY/triNwyyauPXos/yUnnsTv3nMJfibAGQqe0/lY2DSbq978Ddob9qfX1vjQcW/n12+8fPQxygBNKyHU2p4cvTDADUO29q7iZ7d9hu7hLRW1kzJEAEmh0Khp3D3gc/eAT7APXJZRRTLXUmmt4ndNlSGaAIHEEpKkqmKK2sam7DrXe1deyd/v/VLV7XUhiQpBvaYSn/5WvqS83KWVp2f6o5AplfjS365nZkMdWwZ6SUcS1EUTfOjq35B0Ejhln/6+Ivvt18y2oQGScYuIafDeH/2Glg6duKXTk++nNdFGbzZDRI+SjsQRAtLRPQusLJs1k3mNLRy3aNGoY9FVlSUdM5iZbqBou1j68x/ZnIYOZqbn8OTONSzvXMH24a30l7poT7bi+i4fPf5jqIpKwoyTMlO0Jdpruh4z6+fRmp5FXNXJlQaIVlgwJGIkiBpJ4tF6ogqsz/ggDfQqY/4rIWWlaYrEmJWqvGZsS7KN3qH1JM0UgVWPrpl0DW1k6MkrOf7gd1flgprTcRSuX2KoNEQ0Ur2kwpIZRzOQ24Fd7CYRb5m4wTT7jmntnVceqzo7uXvdOuIRjZJXRtNsCmXJGjdDboPEdyRBGZ7q34EtPfSYYN22HoqOQyLnoGkhEhf8blw/BOIIkcEOimwZ6KY5Xk/esbE0g9kNDVz3nx8adzxSSlY90kcQhHQODjGrueG5DNmtA4PkiioPb3/s/7d35mFWFOfifqu7T/dZZ84szAzDviiCYFQQcYkaURBjokaNZlFvthuvmvyM0RhjtmuS+yh641WzeJOYmBifaOJ1j4kQjVHBDVdAAQcEBoZh9pmzn17q98dpYAZmO+MADtT7PP1Md3VVV/V3er6urvrq+zA0F4TNKl3H8RwunnMplZFK2lJJtrdbSCdNW7qd8nBxMXyrS8dy3cdv5+dPfh3HSZHMtFMaHtitQ2e2nYZ0G2kpWHzu3dx0wQ8AyH/JxQoM76OXy7UxWvfwMo3kcl1Yg4jYpeeaGBNwyaS3sb2rge3ZFIntbyClxzEzLiwq6tdhkxdSPWoW9yz5Bjm5pej2f2Lu5aza9DyPvnwHjZ3Fl1cMM0rpH1ycMHUqN19wPtWlJazfvp2fPPYYmhMg25Xnsk9+lOOmT6GpJcn4MWW0p1KgS/769us8s3ot/3HSIj4yfjxNiTaqoxW8uXELP/3rP3DNajL5Dq749UNUVz5FWzaB22JhBgxeuuU6dK3/XuWUM8Jkchku/N1/ceHsk7j69HMB+Ob8Szhh0pEsXvJ/ZLMG6WSGCVObgDSWXhhzilgWupHF02zOv+ff+f6Cqzll6sD+53en1IqQTgtCg7Qu0Shl/eap1MZr0YQgEjKRUHREr8EQs6KUB3QCuSb+9vQVnHLCjcRLJ/VbRg+E8aTkuTd/TQkRxmLRIgUuDrpWvFuEgBHERWAYQ7O1Lw/GqDYNanuZkFfsQ1RP/+BD0zQWzpwJwOTKUfx8yb8w7QDt6Vamjq7mxFl7zru8Vr+eYFRj1pgJzB4/GShY6wT1EJZ4jqgZI5l1iYUCRKwgnbkUekDHMnTuXPI0nzrmaMb3Y11TOcYikXWwpUb38LyVkTinTz+OXz+3DNvTaW1PY2gpNE3u9PljGSZlkRDxiEEuqflh/oonYISxdLNP88XdMXWdfG4Unhfmd6/cT7QkABLuefU+Fk2fz9j44IdiBqwrECVmhggGwqSdNEIM7O8oFhmNplvoHugiQImw6DQ0kA7aIP0ldUfTDAzdQtcCvPHu/UyfvIigVTro8rpuUhIwEW6e9+oeYcrks9D2wlCYYmD2sfXOPkVNGQ1ASSjEM9+5hlnWBNpW2myq6+g13/tbu0i2CBpaetqyzxg7mtdu/i7BkI6jufz00k8zffRYshlBZyJLazbJb59fxm+fW9ZvOzrsOlyjHsNqpTnd8/PfMgI8esX1nDVnDsFaScLppCuXI+kHQCkLx3jisv9h1pha0NI0p5uGJIt1HQ1sSKdoTw/Oh05rKkVW2rR5q/nTG49gTdtAeOZqHnjrIe57/cEhtaEvSkvG8YmFv8HWLBJOnuQg/PzMnHY+C09ZjONmCeZM4u540vkEeTtF3hnYd8/uZHJd2E4WN9vE6rrHWV//fFHlk5lWMq5DV/tq1r33EO3txQXAUQwjXpHbCEIp/UEycXwZgZBg3Njee261sTg4cMsjS/jMT3+9x/mx5SWYOlz3lwdZu30bgYDGxafP5YI5x2C3wtI/v8f003/MMdf9hEt+s5gFd17JhpatQGGR1PcWfYHzjpiPIEB1rPeJvsNqNGrjzSw65HQuPOJcrnv4q/z59Xt3nq+JVaELQXW0eP/zABWRKgwtwP3P/RcPvXTngPmnVo3iqgWncdLU2ehC41NHnsQ5s05D16AmNjxhFHcnFBqFRCcUHJzLB8MIgxbECYUIBsuJBsrQtSD3/P1rvLrm4aLqLo/VcvKszzGldh4GGrFBzHt0Z1zNbGYdcjZWdDw5dAIqmtb+QYJ0i9tGEkrpD5JkLgcmrNu6nZff3dNkMZ93yKc9OlJp6lv37GW6noPj2XRls7SnU0gNjpk+kaPGjyfZYNO6LUN7Kk0ql6cl1UbazvLSxpW8vXUtS9cs46SpR3L0+Ok4jkYy23ukKI8uasu2UBHUqY6UknNzNHTW7zyfslN4uLzfuoG1Te8ULQPHc/A8m5yTpiWxdcD8mqbxxZNPpLrMwJWSWWMm8pGxE5AiT9bZOwsPc3Ya23PY0rSK1q76AfNL6ZJ2shgiRChUQdbL4Xh5HDdXdBwAITTmTvskZeFydAFuEVG4AMxAmKOnf5q855Gy87h9RGZT7F2UyaYCgHwkT2SKxq+eWsb//v0FVv72u8TCu1Zr/ujiT3LpguM4785fkNX3/Gf/6acv4c36zXzl93/AlgkCZoZUvpPzTj6B42dNoiQcJJt18HSP7z15B283bOeXLzyAZWjYXo6vHn8hMasCz9Pp6kPpp7IJPClZsu5vOL7CSHeLcWvbCYKayxOr/sRfV93PvRc/XJQf98vn/5B1jSv5+T//E9Kdgy4X1bqYGsthyC5MqTEzHKSMoYVhHIiglyGqCZatupdwXZxLF/2y3/zSsynXBSWBKFawnE9P/SbbZQPL3vwN0iku1OQO2rIJWmybznxiSOUT+RRpzyNrDy0+seIDMjTfOyMGpfQHySfnfoSNTa2s39SK53qErZ7KUtM0Jo6qoLYiQll4T+sWQ9eZVFlJPBxkTHklFVGDYydNA6C6vIQ7/vkQb23ZQDZvEAmahIwwAUMnYlp05dpZtuFtbFcQMi3a0gm+/Mef8tPzL6MkuKuuoycez/qWtTSnWmjLtJNx8owq2eXx8bRDF9KWbqM12UBAM4v2kW/oAWri4wiaUWpKB+9JckzpWOJWiFHRKgyhUWqFaUo2cutT13Plqd8nGBg+z5JTJy/C2PI8bdvXYYUGDtNoBiJEg2U4Io3tpgkbhdXRASNE2RDXNUQjNXjC5M1Ny1nTuJpPn3BNUUFoKmJjyGXbef/tP5GuOZIp088dUjsUQ0dN5Cr4yMRx/Pryi2m1EzTbCbLOnp/e6XyO9nwTjakG1jXX4Xo9B/u6shm6cp0ks1luv/CraK5BQ0sHq7c08I81r7GqYTPrtm9jQ3MbibRORzpPWypNKuexetsG3tm2gayTYd32BlY1bGR1w7t0Zdpo6diIlJJxZZO4+vQbSWXbSWS7aMqmeL+9no1tmwE4fPQsbljwQ7oybbSmtg9p+CCZ7SKVT9LY1UBdy/pBBf1IppsI4ZDOdpDLdRDGZkNbHXXN79A5zE7YxtYex/Tpl1Cfamdz58BDULaTwbE7sbuaaWpYQbqzgXS2A8fN0p5ooH0Qw1i705Zqpj2XZlPre6xtWIHr9h7Avi/y2RZMN0e6s57GLa8UXb/iAyLV8I5iBwLKx7bhuB69mdXrmiQUacQMeFzx8FV84ZiL+exRF+48P6myinu/eDmjYiVk8zYnX3kbegyMMqganUMIl5s+9TkOraqlNdVJyAwQClg0JVu57pHbcfxvTumYGOS578UfMS1WjullOH3uN5hcOxeAyaEwFeTpdD02tmziy3+5kjvOWcyM6sMQCDwpQPhbkUih0ek4dHY2cfnDX+O787/DSZNP7LeMoRnoQEBozJp0KmXRGu5ZdieOnR1WHzy72ijocBzEIF5IQauUU078MW3rV9JW9zqabqL55p7bWtfwl6ev4VOn/BeV8f5t/rtz6hGfY2rtbO7+108KL8Ui5fyxY6+lueld6pbdTWCYF7EpFOqJKgKBoLaihEw+y+Kld3PeUQuYOXqXzb5lWFSVhNA1SdLOUdKLjfaM2rGs2lrPbS8/SXk0gmZCJK4zrbqKRL6LeZMPJWIGGdfNq+f48mpmj59Bc6KTzmyWmF5Cc8KlJBDBNCLorsfrG5dR37mNk6efzSE1H2Fb+/toySbyMkbScYiaBfcPuqZTEanEkx73LLuN02ecy4RBOlADiIfKqCkZC1qEpL2Z2CDs0MvC5QSNIJFgCZrQGF81k7LoKLJOeliHdnYQDISIWCWUmDEefvF/+NgRnyUeqeozf2nJeKixSTW8T6RsNFYoQDRUiRkIk8xIrCICwgMEDIvJ1UdQFh6F6zlFD6MFrVKqKqaxyYgQHKLXTsUHZIRZ5BSDUvpFIJE0dG1GInn6vWY8ZA+ln7ZT5N167HyQrKOztaNgD5+xc5i6ge26gOD+V5fzt5VvsXVVodzW239MwOh/MdDic/7fzv3/fPQyJkaaOS4WpdFJ0p7PsHbj8+ibX+SYKQv5+LFf59WNz/Pic4tpc1zS+RzNyRbGl43FcW260k3owIpNL2AaQS457muDlkFpKM5tn/pfrnv4l7S2ZdjaluCoAdZYpdPbiWoOmUzLzrTGRANd+QQtySYiVgliGFfpprOdhL0MbrqRd5L11JZP5dhpZ/VbpnT0FEo/visewkUL72DJs98C8uSy7cTCfb80ekNKj3zG//1zCSLBwS/SAshlOnHsFKlkI66dQw/04dFPMfwc4Cty1Zh+EWhC47/PvZZL534c3UhREe05mRsPxbl+/vc587BzsPNRSswa3t76Hgt+9h+cd9dNfHTxDzj5lht5o/5dAlaW667+KA/c/oUBFf7uHFZSQYlhkHA9YmaQmK7R5UFjNsRpd17FQ2/+i5BVSpfrEgoYCCGJhwpKxzQsrp7/Qz4x83yimkZVKD4kWdSWu0TCLdTEB7b+scwSXE9imbsUX9SKoaFx61PX8tsXbhlSG/piVMlYzpt3FRXVx7E26ZLRhubWwDMiZDyJEYgOnHl3hCBsxrB0izsf/wrPr/5zUcUDZgxdBtFdk1cf/D4dDWuLb4NiyBzIY/pK6feC7Tjc9+JLrGvcM5j4nPEzmTF6MrqRw9D37J3Om3g8Y0om4boh6tubWb5hNQKB7U/86pogGDDR9TwnHDORjx3bu3fN/igPlVFpWuQkaFqAoKaTlZDxCi+PtY2NLF+/npwnAR1NFKyLdjBrzGymVE4lrOuYRZhsdicYgKCVoL75XdY1vNZvXk3oeEBH1/ts2fYqADGrBEPTEULgFGnPPhBCCGZNOJGAVc7WnEQytK+IvNTIS/jHupdYva241bECCJphDL3g69l2ejez7QtN1zG0IJpWKO9KZbO/z5AUhneK2UYQSun3wvK69dzyt79z42OP93q+JdWG9DRaUh29nm9OtaKJPI+vXM7vlj9DOl1Jc5NGpj3ALedczINfvZ7nv3kH8yb1Hqx7IE479pscP/daXupKsDJj8/H5d7I15bKxwaSjvoqHVqzht8ufIesK2tKQy0VoSfa0q89l24nrGnZuiNYzdhcTLIuV7z3On19Y3G9Wz+4kbujUb3yKF1+7A9e1uWL+jfz7yd8mgiC7l8IotqVbEcKhNdM6pPLPt2zhyeYEP1v+ED9e8vOiygqhcdmiOzh+xvnYUtIxCLcQ3bHCceZ9+mbSo2O8F95Cq72tqPKKoSORSK+4bSShlH4vVMdLCZoBJlb2PolWHa0mIMLUtzfx2Xsvp323hUpj4hVYAY3KqEVpGEKWx/GH1/L5E4/j6MkTEEJgDMGh1w6EEERDVaS9CIY5jng4zheO+RwfP+oYgmGD6lKP0qBFpRXi0HiY2ojB2JKebgmqYtXEzSCdnRv545KryOWLWwh0xswLOH7qAqLBUkbF+g+jOGPyIg6deCoZLUbGiCP8Hn5peBRSN4nFBranHwqjY7UENIu/vvs3vvbIN/cwoe3O+q2v8psnvsKmxjd2pn12zpc4fdpphANBxpQW7+NeCI3KWDVRw2L0ADLqtbymEY7WgBYgFBqa6wzF0FDDOwcZmVyOnOuwraudlze+vYctetrOkbUFTckWGhPNJHI9g56n8mkcmSXjdpH1uvC0TsKRPN8+ZxEhc2ghC/doo53j/S6HDR2dvPj+21x01PlMrZyBDLrYegNGYCvlhktES1JlJcjv5vZAulkqDEhmWuhMNZIr0i3ChIpDOH/2F5FOmmyu/9W55aXjmTvzUjanO9icaMHzlW/GztCWT9OYbGJF/at4w/zfk8ynyTkejYntbGjd4Ecx653Wrs1k8wlau3Y5sztq3FwWzjiPtJ2lrYgVyN1x7DRhzSWbaaK9pfhx+XS2k5ybp71zE52DcCuhGAZ2rMhVDtcOHvIySTDSyNb0q3zrsVt4edNbPc6fMvVY7v38rZSGAmhalrzbc7z2giPP4N6LF6NreTQ9iRVsRerNw9rGrO3g5ENsbuniukdv55l1r/CZufN4+PKvMbYkgWmkqEsItmQzbM/nSO02pjxuzImcetLNNDka27I2Oae4BUQAjnRpzudozg38wpDAO8ku3kkl2PEKTTtZOm2blc3r+c8l3+PlTS8V3Yb++NKxn+PuC2+j1pTUBFwEfX+G75hXcNye8ws5x8bzDLL20P6zTWyqAgbetlW89sLNJLuKC5CSsHMkHZcNdQ/y7LLvIUdat3KEohyuHWRMHTWWo8ZN5pCqMUSDJpXRPc3txpWNZmzpOEqCpcR3s4BZ17yeW5+9g1GxcioipRxeM4UF0z42rG0cF6/h6HGHM6N6EmHTYlQ0jhCCiZWVnHbYAo4cM4OQGWJUuJJ4sISKUM/hHSEEsehoAsFxuHq8qChROzCNILFQBdFQJT9bcj0bm9f0mVcXOvFIDfFIDbq/+GlcfAKH1cxiSsVUIoEwlZHhtUnXNZ0JZeOYGB/D+NJadNG3hXJ5rJqgEaQs0jPUYXkkSkUkSGXE4Lt/vYZtXcU5YQtblYSMEGaolIAZJWAOLtTkDg4bdzxVZVMJmGWEw9VFhXBUDJEDfEWueoJ6oSJSyi8uvBbTSmCLbbSme++lb2prpj2VZ31zPTm70EPsyLTzwoblvLN9DY2JBjqy7Vx+wlf46KTiI1X1RywY5vbzryUSMsm6SZqTuyYrPzPniyw6/BNYWidxmWS05pLJdfR6neVbm1nemGPt9i0kcxkaOlt6zdcbeTtLc6qZlmQjm1rWsrK+7566I102dDSyvr0Rx+8alYbi3HjmYkzdwHEytKUGX/dgkdJFZFvQcm20J7b0OYSUyzQR0xxy2Z6TvslsByFjCx2ZtazZvpp3G1cVVb+dbieQcrFzneSdBHaRTtim1M7mgpO/RyLTRltim+rp7ys8Wdw2gthvSl8IcYEQYrUQwhNCzOkn3zf8fKuEEH8SQgT99ElCiJeFEHVCiAeEEMMzWN6NCeEItZZBudV7eEBTRHAdk288eBdXPXgnqXyKL99/MUvXPkTQsNEwkZ7B5Q9+l5ue/sVwNw8ANzWarpZqdLdnT746GGVGOIShaeSlh673Lh5dlpHPRbni/l9w0d0/4ILf3MBrmwc39hy2oly18GZOOuxsbOmhG30vINKFYHw4yIRIcI+HrswME9F1oubgwjAWgxCCmmCIUWaA+5/5FstX/rHXfDEvTGk2QNTruUJ4YsUUvrPgJxxWM4eUo6FrxbVx9IQTOGLelchwCRnNRQzBRFYgyEqNnFRrKfcJB7g//f35FK0CPgX8b18ZhBBjgK8DM6SUGSHEn4GLgHuAm4HbpJT3CyHuAr4E9O9Ht0jioThlZpAV7/+Lzkwbcyae1OP8YdVT6Mik6UxDLBjEEAZRK4ZAw5UJYpEq0vks7ZlOolawj1o+GGXhEjSnlBfq1tCVT3DOUQX/O9FQOWMj5WT1CDnXweoWt/VPr7xAOp+jNdVB0IgQCkTxpEfQNLBsg5c2PsO2rlW0JZsoCReCsH9i5nm9rpqdWHko2zu3ILQA4X6GLoTQKPMXiO0eijAWLCUcCPLs+hdoSLZx+qHzh0M0O+utiU8gneuiPd1KsI/4vgErSlBamNaeLhdm1h7Jivq30DWLWB8dgL7QNINRtUehb3oS8h1oevErazXNwDRjCKHx1Ot3c8whZ1JRMnyhJhU92eFP/0Blvyl9KeW7wGCW3xtASAhhA2GgQRQKnQp81s/ze+CHDLPSb0o0kHNyvLh+KW/Vv7iH0r/u9C/zxpY1fP3Bm2no2krWyZDMdpDJh0nZEeZPnc300bXc+uzNtKT3DLwyHGztbMM1HB5b+QpPrtY456i5SCkpi43h3868i5uevJrmXIqWVDNVpWNJ53P899InABdN8zB1C4csoUgTWQGBUIrnN2zklY0G0nPIIwDJqYcuJGr1rtS3J7eTdHJsT+65mG0HrufwTvvWnftaty+PTZ1bac6meeTdpwjVPTfsSv+sk25k3YaneH31vdiZ3ofq0vkmcuEsqXwTUnp7jJ27uUYmhzwy2aFNyG/uaCCVTdCVaSUUjBdV1vXy2PkOko7Lpq6lCCFYePSXh9QOxSA4wP3pf6jH9KWUW4Fbgc3ANqBTSrkEqAA6pNy5THELMOxdn4vmXsaZsz6Dh0Goj9B1FeE4GiYVkUosI4Qny7ECpbhugMpIFaMjo4gbBpNLirfzHgxXn7GQK+afSizsUlNeeIdf8X/XcfZvP8+Zvzmbbekush7EQuX88eV/ccqt36UkDLGQhqbZxCMeIdOjKugxNRpjtGlQY4aYXDqaC46+lFHhMkrNKFY/QzfxUAWO51Ea6jtEoS50Di+p4vCSqp1eLHfwhXmXceFRnyeoB6kI7x0HY7FQBSE04n3ZuwfjpDyXdzc/y6NLr8TZzSKrNFyJBEqH2D7dipNy4ZuPX83Pnru1qLIBI8RJs6/kI1POQANK+pGzYng4kId39qrSF0L8wx+L3307e5Dly4CzgUlALRARQny+yDb8uxBihRBiRXNzcb20sWWTOHnaIhwkeELdqAAACc9JREFU9LGYSgKepxHQTDzpkXNNbNdCygC6FkDTNGK6TrCPMfUPysTKSj5//DyMgI2uF96BGSeL49p40sORkoznApJMPo8ENM3B0F2E5mKaDlYgQ5nlUBkMUG0ZlBgGZWaIs2ZdgKkZGJro14Ze0wpuFrR+vElKoCwQoKwXV8HjyyZyxoxPImGvuFqGwksnJDQCfbRRCJ0sEtcPCbn72gxDNwqyG2L7pNBJeS6u55K1i4/INWnMcVSWH4IuBIY2NNcZikFygFvviMEEwdirDRDiWeAaKeWKXs5dAJwhpfySf3wJMA+4AmgGaqSUjhDiOOCHUsqF/dU1Z84cuWLFHtUMSM7JYmgB9D4UfzqfJRgw0YRGzsmjCY28YxOxCuPomXzBhfBwepLco412Hk3TCOgGjuvgyoKCsQyLvJsjFAgjpSSVz2HqhfuwXQcrYGK7DgKXgG7huHmE0NA1HV0zcFwbiSQwwEsrk08TGmAi1vGDifQVojFrZzE0A0PfO6OOjp1BN4J9/g62nUbTTaT0dvrM2YGUkqyTIdTHnMBAeNLDcfN4UmIa1pBfHjk7jTXENih2IYR4TUrZqwGJptVI07y4qOvlcrf2eb0PGx92c4DNwDwhRBjIAPOBFVJKKYT4J3A+cD9wKfDo3mqEZfQ/CRs2d523jIKyCHRTXAMpw+HACuxSUoZuYHT7aUO+xYkQoseEsmkUlG93lxC61tN6ZbAxdAdzjwNdKxjYO5PdO+sfwHd/oB9lKoQYssKHwheCOcBzNBiUwt83jLTeezHsT5PNc4UQW4DjgL8KIZ7y02uFEE8CSClfBh4EXgdW+u39lX+J64CrhRB1FMb4797Ht6BQKA5ElMnm3kFK+TDwcC/pDcCZ3Y5/APygl3wbgLl7s40KheJgRII3vO6+P0x82Id3FAqFYp8i8ZAU54BwJKGUvkKhUPTAQ1Kcq/GRhFL6CoVC0QMXlNJXKBSKg4V929MXQvyIwnokD2gC/s2f29wrfKhX5CoUCsW+pzCmX8z2AblFSnmElPJI4Ang+x/4FvpB9fQVCoWiBy7Qtc9qk1J2rywC/UT7GQaU0lcoFIoeZJGs3qc1CiF+AlwCdALDG3Fp97r2txuGfYkQohnYVESRSmD4I3scHCjZDR0lu6EzWNlNkFKO6u2EEOLv/nWKIQhkux3/Skq5YyEpQoh/ADW9lLtBSvlot3zXA0F/fdJe4aBS+sUihFgxUvxpfNhQshs6SnZDZ6TLTggxHnhSSjlzb9WhJnIVCoViPyKEOKTb4dlA38GmhwE1pq9QKBT7l5uEENMomGxuAi7bm5Uppd8/vxo4i6IPlOyGjpLd0BlxspNSnrcv61Nj+gqFQnEQocb0FQqF4iDigFf6QogfCSHeFkK8KYRYIoSo9dOFEOIOIUSdf/7obmUuFUK852+XdkufLYRY6Ze5ww/QjhCiXAix1M+/1A/z2G8dIwEhxC1CiDV+2x8WQsT99IlCiIwv0zeFEHd1KzNsMurrdxgJ9CU7/9z1/v2uFUIs7JZ+hp9WJ4T4drf0SUKIl/30B4QQpp9u+cd1/vmJA9UxEhBCXCCEWC2E8IQQc7qlq+duOJBSHtAbUNJt/+vAXf7+mcDfAEEhBOPLfno5sMH/W+bvl/nnXvHzCr/sIj99MfBtf//bwM391TFSNmABYPj7N3e7r4nAqj7KDIuM+vsdRsLWj+xmAG8BFoXYz+sB3d/WA5MB088zwy/zZ+Aif/8u4D/8/cu7Pc8XAQ/0V8f+lkkRspsOTAOeBeZ0S1fP3TBsB3xPX/a9xPls4A+ywEtAXAgxGlgILJVStkkp24GlwBn+uRIp5Uuy8HT8ATin27V+7+//frf03uoYEUgpl0gpHf/wJWBsf/mHWUa9/g7Dc2d7n35kdzZwv5QyJ6V8H6ijEAxoLlAnpdwgpcxTCAN6tt9jPZVCBDnYU3Y7ZPogMN/P31cdIwIp5btSyrWDza+eu+I44JU+FJY4CyHqgc+xy5nRGKC+W7Ytflp/6Vt6SQeollJu8/cbgeoB6hiJfJFCz2gHk4QQbwgh/iWE+KifNpwyOlBlV+z9VgAd3V4g3eWws4x/vtPPfyDJbnfUc/cBOSBMNsUAS5yllDcAN4jCEucr6SX84nAhpZRCiBFjEjWQ7Pw8NwAOcJ9/bhswXkrZKoSYDTwihDh8sHWONBn1xRBlp2Dwbgl2Qz13w8ABofSllKcNMut9wJMUlP5WYFy3c2P9tK3AKbulP+unj+0lP8B2IcRoKeU2/xOxyU/vq44PDQPJTgjxb8BZwHz/0xkpZQ7I+fuvCSHWA4cyvDLq63f40DAU2dH/M9FbeiuFoQfD7813z7/jWluEEAZQ6ucf8c9dH2XUczcMHPDDO6LvJc6PAZf4s/jzgE7/M/ApYIEQosyf6V8APOWf6xJCzPPHTS8BHu12rR2z/Jfult5bHSMCIcQZwLeAT0op093SRwkhdH9/MnAIsGGYZdTr77A373c46Ut2FO73It/yZhIF2b0CvAocIgqWOiaFidnH/JfFP4Hz/fK7y26HTM8HnvHz91XHiEY9d8PE/p5J3tsb8H/AKuBt4HFgjJ8ugJ9TsGxYSU8rgS9SmPyqA77QLX2Of631wM/YtbitAngaeA/4B1A+UB0jYfPvvx540992WIqcB6z2014HPrE3ZNTX7zAStr5k55+7wb/ftfhWJn76mcA6/9wN3dInU1DadcBfAMtPD/rHdf75yQPVMRI24FwKY+k5YDuFTpd67oZpUytyFQqF4iDigB/eUSgUCsUulNJXKBSKgwil9BUKheIgQil9hUKhOIhQSl+hUCgOIpTSVygUioMIpfQVIxYhxDghxPtCiHL/uMw/nrhbvp0ueYu8/oW+690nhq/VCsX+RSl9xYhFSlkP/BK4yU+6CfiVlHJjL9nXSymPLPL6DwBf/iBtVCg+bCilrxjp3AbME0JcBZwI3DpQAb/nv0YIcY8QYp0Q4j4hxGlCiGV+4IwR44ZYoSgWpfQVIxoppQ1cS0H5X+UfD4apwH8Dh/nbZym8NK4BvrMXmqpQfChQSl9xILCIgtvdmUWUeV9KuVJK6VHw5/K0LPgkWUkhQpNCcUCilL5iRCOEOBI4nULIu28UEZks123f63bscYC4HFcoekMpfcWIxXej+0sKwzqbgVsYxJi+QnEwo5S+YiTzFWCzlHKpf/wLYLoQ4uT92CaF4kONcq2sOODx7fafkFIWM+a/o+wpwDVSyrOGuVkKxX5B9fQVBwMuUDqUxVkUvh7a90ajFIr9gerpKxQKxUGE6ukrFArFQYRS+gqFQnEQoZS+QqFQHEQopa9QKBQHEUrpKxQKxUHE/wc9b6WJRbJt9AAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot transformed data\n", "fig = plt.figure(figsize = (5,5))\n", "ax = plt.gca()\n", "im = ax.scatter(df_grid['X'], df_grid['Y'], c=df_grid['Nbed'], vmin=-3, vmax=3, \n", " marker='.', s=5, cmap='gist_earth')\n", "plt.title('Transformed bed data')\n", "plt.xlabel('X [m]'); plt.ylabel('Y [m]')\n", "plt.locator_params(nbins=5)\n", "plt.axis('scaled')\n", "\n", "# make colorbar\n", "divider = make_axes_locatable(ax)\n", "cax = divider.append_axes('right', size='5%', pad=0.1)\n", "cbar = plt.colorbar(im, ticks=np.linspace(-3, 3, 7), cax=cax)\n", "cbar.set_label(\"Normalized bed elevation\", rotation=270, labelpad=15)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute Experimental Variogram\n", "\n", "The semivariogram, often just referred to as the variogram, is used to qauntify spatial dependence for irregularly spaced data. It computes the average variance of the difference between two data points with a given separation distance, or lag distance $\\bf{h}$.\n", "\n", "$$\n", "\\gamma(h) = \\frac{1}{2 N(h)} \\sum^{N}_{\\alpha=1} (Z(x_\\alpha) - Z(x_\\alpha + h))^2 \n", "$$\n", "\n", "\n", "where $x$ is a spatial location, $Z(x)$ is a variable (e.g. bed elevation), and $N$ is the number of lag distances. This can become computationally expensive, so we recommend randomly downsampling for large datasets.\n", "\n", "We'll start by computing the isotropic variogram, which averages across different azimuthal directions using the Scikit GStat tools. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# compute experimental (isotropic) variogram\n", "coords = df_grid[['X','Y']].values\n", "values = df_grid['Nbed']\n", "\n", "maxlag = 50000 # maximum range distance\n", "n_lags = 70 # num of bins\n", "\n", "# compute variogram\n", "V1 = skg.Variogram(coords, values, bin_func='even', n_lags=n_lags, maxlag=maxlag, normalize=False)\n", "\n", "# extract variogram values\n", "xdata = V1.bins\n", "ydata = V1.experimental\n", "\n", "plt.figure(figsize=(6,4))\n", "plt.scatter(xdata, ydata, s=12, c='g')\n", "plt.title('Isotropic Experimental Variogram')\n", "plt.xlabel('Lag (m)'); plt.ylabel('Semivariance')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot shows the expected variance between two points as a function of lag distance. So for a lag distance of approximately zero, the variogram is close to zero because two points in the same location should not have much variability. The curve should start leveling out at $\\gamma(\\bf{h}) = 1$ because our data has undergone a normal score transformation.\n", "\n", "Glacial topography is often highly anisotropic. So let's try calculating the variogram for different azimuthal directions." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "tags": [ "remove-output" ] }, "outputs": [], "source": [ "# directional variogram\n", "\n", "V0 = skg.DirectionalVariogram(coords, values, bin_func = \"even\", n_lags = n_lags, \n", " maxlag = maxlag, normalize=False, azimuth=0, tolerance=15)\n", "\n", "V45 = skg.DirectionalVariogram(coords, values, bin_func = \"even\", n_lags = n_lags, \n", " maxlag = maxlag, normalize=False, azimuth=45, tolerance=15)\n", "\n", "V90 = skg.DirectionalVariogram(coords, values, bin_func = \"even\", n_lags = n_lags, \n", " maxlag = maxlag, normalize=False, azimuth=90, tolerance=15)\n", "\n", "V135 = skg.DirectionalVariogram(coords, values, bin_func = \"even\", n_lags = n_lags, \n", " maxlag = maxlag, normalize=False, azimuth=135, tolerance=15)\n", "\n", "x0 = V0.bins\n", "y0 = V0.experimental\n", "\n", "x45 = V45.bins\n", "y45 = V45.experimental\n", "\n", "x90 = V90.bins\n", "y90 = V90.experimental\n", "\n", "x135 = V135.bins\n", "y135 = V135.experimental" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot multidirectional variogram\n", "plt.figure(figsize=(6,4))\n", "plt.scatter(x0, y0, s=12, label='0 degrees (East-West)')\n", "plt.scatter(x45, y45,s=12, c='g', label='45 degrees')\n", "plt.scatter(x90, y90, s=12, c='r', label='90 degrees')\n", "plt.scatter(x135, y135, s=12, c='k', label='135 degrees')\n", "plt.title('Anisotropoic experimental variogram')\n", "plt.xlabel('Lag [m]'); plt.ylabel('Semivariance')\n", "plt.legend(loc='lower right')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This shows us how the spatial dependencies vary in different directions. We do not see significant anisotropy in this example at < 30 km lags.\n", "\n", "We will also point out that the data gridding process can cause percieved smoothing in the 0 and 90 degree directions. So it could be useful to check the variogram for the non-gridded data to ensure that your interpretation is correct.\n", "\n", "\n", "Download the {Download}`tutorial<./1_Experimental_Variogram.ipynb>`." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Edit Metadata", "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }