{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# ECT on Matisse's \"The Parakeet and the Mermaid\"\n",
"\n",
"\n",
"\n",
" Here, we are going to give an example of using the ECT to classify the cutout shapes from Henri Matisse's 1952 [\"The Parakeet and the Mermaid\"](https://www.moma.org/audio/playlist/6/312).\n",
"\n",
"\n",
"\n",
" \n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"There are 150 files in the directory\n"
]
}
],
"source": [
"# -----------------\n",
"# Standard imports\n",
"# -----------------\n",
"import numpy as np # for arrays\n",
"import matplotlib.pyplot as plt # for plotting\n",
"from sklearn.decomposition import PCA # for PCA for normalization\n",
"from scipy.spatial import distance_matrix\n",
"\n",
"from os import listdir # for retrieving files from directory\n",
"from os.path import isfile, join # for retrieving files from directory\n",
"from sklearn.manifold import MDS # for MDS\n",
"import pandas as pd # for loading in colors csv\n",
"import os\n",
"import zipfile\n",
"\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"\n",
"# ---------------------------\n",
"# The ECT packages we'll use\n",
"# ---------------------------\n",
"from ect import ECT, EmbeddedGraph # for calculating ECTs\n",
"\n",
"# Simple data paths\n",
"data_dir = \"outlines/\"\n",
"colors_path = \"colors.csv\"\n",
"\n",
"file_names = [\n",
" f for f in listdir(data_dir) if isfile(join(data_dir, f)) and f[-4:] == \".txt\"\n",
"]\n",
"file_names.sort()\n",
"print(f\"There are {len(file_names)} files in the directory\")\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" We've taken care of the preprocessing in advance by extracting out the shapes from the image. You can download these outlines here: [outlines.zip](outlines.zip).\n",
"\n",
"\n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"i = 3\n",
"shape = np.loadtxt(data_dir + file_names[i])\n",
"# shape = normalize(shape)\n",
"G = EmbeddedGraph()\n",
"G.add_cycle(shape)\n",
"G.plot(with_labels=False, node_size=10)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" We're going to align the leaf using the PCA coordinates, min-max center, and scale it to fit in a ball of radius 1 for ease of comparisons."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"G.transform_coordinates(projection_type=\"pca\") # project with PCA\n",
"G.scale_coordinates(1) # scale to radius 1\n",
"G.plot(with_labels=False, node_size=10, bounding_circle=True)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" And then we can compute the ECT of this leaf."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"OMP: Info #276: omp_set_nested routine deprecated, please use omp_set_max_active_levels instead.\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"num_dirs = 50 # set number of directional axes\n",
"num_thresh = 50 # set number of thresholds each axis\n",
"\n",
"myect = ECT(num_dirs=num_dirs, num_thresh=num_thresh); # intiate ECT\n",
"result = myect.calculate(G); # calculate ECT on embedded graph\n",
"\n",
"result.plot(); # plot ECT"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" Let's just make a data loader with all of this for ease in a bit."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def matisse_ect(filename, ect):\n",
" shape = np.loadtxt(data_dir + filename)\n",
" G = EmbeddedGraph()\n",
" G.add_cycle(shape)\n",
" G.transform_coordinates(projection_type=\"pca\")\n",
" G.scale_coordinates(1)\n",
" result = ect.calculate(G)\n",
" return result\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" And now we can load in all the outlines, compute their ECT and store it in a 3D array."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"num_dirs = 50 # set number of directional axes\n",
"num_thresh = 50 # set number of thresholds each axis\n",
"\n",
"ect_arr = np.zeros((len(file_names), num_dirs, num_thresh))\n",
"myect = ECT(num_dirs=num_dirs, num_thresh=num_thresh, bound_radius=1)\n",
"\n",
"for i in range(len(file_names)): # for each leaf\n",
" ect_arr[i, :, :] = matisse_ect(file_names[i], myect)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" Here, we are just going to compute the distance between two ECTs using $L_2$ distance."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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GA/nGf//P0mq1CmPZbicNEnw0dvnll8tll11m/7/dbsu+fftk7ddeKHs/eJstv+u8HxIRkYPhflvWCRb0rxlbFlTNhI2Evhgz83dWcV9+R/UphzX3BX9veqopqzRt2fHUJGiLIiqTndoX92V+JNslIiK91LWbZuaeLHb3Brp4EnobVzLzo7Q2MdeNqn37WT8xP8aT2P3Apepar4UueVw7NdclsfsWSobm27IXubKBmB+R0YRekNS0u5W6H5ggMH+PMzc/ma7QMOAvFX0ZA/51MO2FdbcEU5Q16FtSX4yDwT4REfl21W0AHozMBqEaunEHOo+Hwr2u3qWGiIgMl1y1+JFIqakJXkL6Ehxh2TBSofd0n0o//At6K73ImZKpUvdoZRDl2xdxL3/KX7D6+UjfYRqiJHgE9CWEL6SUv8D1b/oNEyy90YwULNcnbS+jb4j+zuI9ZV+IKEvoetTDP6gTHVvg9kC2D6gvofnEm8nPDPXxD2uZlbWPehKaW/u20njQp8i9cvTDSkVpsS/2i51/xbL89SJug4DrBq2Sz+jZoo0J1YG2cnOBdrkt7XM2V3Idd1PXPK+LdJL/TITmwH3VyQD+AfUZ9Yy27WOSoW4wgpJObLOT8oP1aNPc12o1qdVqhXJv3rx58/b9YyeFJTiNae69efPmzdvJtZMWOPw3f/M3cvHFF8sHP/hBed7znidXXXWVfOITn5Bvf/vbhbOt7YYgtrP/+i3SHy3a8rN++VYREbnzz86xZUHf+Mdxx/02T+aMfxwMGYs3f2cVwnAj83e85e4d7zKYQtiOC/emDfa7zT/hTgcxpseNlxhSu8ms9mVUdIdDKkvmjB8dDExfsqbzq6urxteezFDf40zHQ7j7qLg/qWyYstGyw0Uqx83YJk0+W9D6qnT2gb7QnEU6VymX6TiSGvVPP89CVxZMdLyELwHCSRZM/5b3btjPVg/ps6duxhum7+led16WjswaiGpuznBOmE0In6+bNiYdwkC0n2HF3ZttGAwk3uUwovGGwoMRzU/D1JeOXRtR1TyPhJ+FnqmGVepfV8/EZnW98TwBcyPIeNwzfQrC4jOLqd7xwMxPGNO6APQzeWhIpj5jMJ8JzRmeVZJwmfknojmLtb0hn22q4fmIuHlGn/jbqa7ny8OhqyPR8VToHHWibQQ0RpxbR1SWjIvvQ6TvC39Wa5pnMB65dz6MiudzyVi/a2i+MS/Vqnu/hv2KtsX4cX4e+Tna9cv16jPgc+5kUsRFozjJ1SsikunaD2mtYrzcd6yfcZeOTnT+KnXX7mhD0S965/Eu8TzinoDW7bBTk7Q/kAcu+d1HFJR80s6wfv7nf16OHj0q73znO2VlZUV+4Ad+QL7whS887I+VN2/evHn7/rSplGaCh/Vfv/r8HMHiU1//QRERecprvmrL7rz2ecUKdJfLB5GVWbNDS1bcCTl2/5Vl2knr51mDdo9r5nc/etKWLRuuNQptxG2zA0pmaOenfYlmiTChO6CYdmDjzUdwhseUqUrxsfKO07aP3TJdHqmXkrDHqJfVd7i5sDtFqnfSNruxcMadbqeT4q4x0x1fc97V12sbL4V3/9gFht818zne7zzW2kFzfUCH5v295n+ivtvZ/cSPfE1ERBYqPVu2MTbP8cjQnfjvqZsYk7u3HFtgqWbYk0tVdy8+fx4xFv/hyFNMnyLXmSe3jhbqe2rLnNv2iXjTHte1f24u7ukahsiTZo+JiMiOimNxjvVUfT52fbpl4wwREQlpDYT6UE9tbNiyg11Dwtldd2t1uWrGfXjomLQVZQTMxa5Pi9qHzUmTrjNr9Pi4yOJYpPneXTFt3DNwc9GemHGPUrdvbsXGM071VD8O3Tuwv7YmIiJrE9fWfX3jZT9lxgkOfKtziojkn9lQ25iJ3fpZG5lxNCK3VvfWNkVEZHXkdvpPbpi6x8Rm6CgtMyU0AJ8zaxXtztM83j8wz3ZH1T2DnjIXasqu4Xrbk4Z+5vqJtuZiQhJAbqJ+oi9bifv+WFPGzSn1TVv2oLIklmsuzgp94XUBwzyJiPzjkbPMvcp4FhHZ11gXEZEutburaj6v0Qv79fZpMu6O5O9+/COPyMOaWvFbb968efP2/WX+B8ubN2/evE2FTTUkeO6n30BxViLdQyZ4AYQDEZGn/JoR1D14pWMfThSSYwKB6IF80KFjPaBlVF+8qQerPYIClMTBUJ8A1qLDdUCCXF/SNNeBwMD9AlwoIvYwP9w0/WOiQ9xV8gOdmYPMITPO/c70UD0YOsgAZJTJrGsLJJPxPB3Aap+rcw7uADwqC+7AOzxqoI1k0bUbrRnoMJmneKlxEYq088IrEmPSuXjK6S4Q+s57TQgEE2DsHMw7+KSpAeI1CoTuD00/J2M3F1U9wO7TIXNdD/ObNXfv2oaBVGZnHRzTPqLQIh1kNxcMDNTvuHitmhIX4rh4MM/Eit6WgVJmWqaN2bqb95Eers9UXZ9W1s3anwyJGKAEgrlZB0d1thReqrt7Ufeo5NA+jty6qCrRoDdypIeG9mFr4KAfjKJecc+7VTNtrHUdnIj2mBAAcsIEY6y7tVXTOENeHkfWDIS0e6ldKJudcc+nr0SNGpEfJiA40HvTrJn2ugO3BvYumLr7Yzfu4STWf92czei9SUrj0TlL6OUcjs29NZqfgc4p6ugOKcAL/aV6K1ovP5/t9Yu458PPDHM7P+PWxWbXrIvZhltnmfaZx4hRcN+PHl4QEZH6gptvrO+Mxo0+12ndHt+YlbQ3kIO/8m4PCXrz5s2btyeOTYXSxYnMyC25A9iKegvjRbd7hWd14PIbbdk97zJlSZ32auqlRAO3IwCtm2ntk4aWkYcV6d8h0XMnKq2T1Zn+aj4PUtrSadWgxouIRB2luNZdGTwqG01PdVhVAo66HyvVnjw8eDVM54/6RZmfShtl5PXFUAdxO+lK11w3idzuzc7fGpXppi3rEn25hMaP6Hk6s7bPKJkrAQLUY0xrbpdZO2raGNE5cfeY2dV3mfINIgj1Y6yebdR14+5XzKT2yBuPOqaN9hJ5qkpUYS+3N9Q1RQSQAZ4HPW8bbkCed9gzZVtbpt6tSpHUsEHU4mytSMoBdrK+5Z5FqM+gW3OLpVtVghDTvNE9pr+rx5aRR7SOLpeETHRoPMe1r6Drm4q03jF5H5W8l90PSQFGZbo4FAGIyGFCDYK2aWOjTS+EDmNIHnCAeshJ6SJcZOjauFtDBlKm809KxmsrpnWG95sJR5A7YRKUvs+biiRk1L5dK2XuRaVYB6+tNkI5+HtA+97HcxcXLtOvuzI7Dl4XGAa9cyCdDQfuWQ3wHNkBrGsID4dobFQkHRS/C05k3sPy5s2bN29TYf4Hy5s3b968TYVNNSSYpYEVshVxChZCZIXJjHE3AQOKiJzxdgMPfve/kAyUur8MVQW1ojJxpiSG+JCDG3p7iveWSjcDDSLFB5AtInde6ZSlyVWGl58qRBaQKsF4QYkbBD0B1pvQgSkEQGvrBFHtTAtlo7ki7JmpAjYjIVbBgvoCCC8mWA3CrUmDFcLNv/U1GofyFiZ0nYVKUwhkFpW9+XkDds36UfE6MtTLUGwwALTLyqc6RoqJC0pgsFBhzJRhWcUH+VlBeYXFbAEjZtxRwCaAsJLiIBias0KqPD1aFuTgIO0TqavjYDynhKLtZrSntYKnJYoYPI9QcsnFG4LgQPAflGQYIs8CvHN2UtxnveLXFZ5VwhA5xt2j8YDjQ3AUoNqUvkMyhb+YBJXWoJJLbZSoZFhVGcaFUURdt6o6WRFqs/PNbZXMhYX8qX1bL8Geth7qE2DwLKSjAX1feZllCvvxM8P6YSWbSgft0vcASGIEbeKejLlpg8C+d4/EvIflzZs3b96mwqbaw5qZG+RShKQ4+KbzZ1DEmWABz+rMNxeJGCkdFKdl3oKSKPq72Fso2f1qPTmNM02bkdVp54nP0iKlmD0su1PDLo5o6KIHz8kMadFpvpyMDkfDnhISmMCgO6HBqY5qGm0id4FrH7ujnK5iC5T8h94hjdQDjMhjg+5hh/qC8eY2ntiF6xyv9ekQXj2CjDXjSkgs4ZJxfxqU62yo9O9xnwgJOrdjIinA04EuoIibltoSqX4EelhNfam2VHtvzj3bSMcz6dOrBy1BIlFAKw40eKZeg0zB+nSd1JAyWC8ReoUxl8GDoMP6inqPwwppxildmvXmuD3bde17Sh6O1dRjin/TPINe1b2cobYx6hFBR73lUBOLMeW9rlR8LhvVzL31Wfdsx/qOsl4j1FN4PBPVIWQSAHK7jepuLmZVjYXHONYx5p6Lfl4lfb+RErFmaO2122atVEi3D/eiLxxsVKZRiHXLuegmSmdnncOa9mVM4RsjJZFUG+6dH9W1vhlXX6TPp98thiw0qN0BNEUJ6ajM6dqndmdmzRpglGQrm5G0X1xXJzLvYXnz5s2bt6kw/4PlzZs3b96mwqYaEux26jZTsIhIhNTyDA8A8iFYD6fmZUSMg+9xZS41h3NroRAwCpybnCgaVD/m2khmTV8WWg42OqYwVMCHsoAjtooxSmUHtYHCHRFBOgkeI8F/9gC0JF0Kk0jsqS2TGbIixIeDaU6NAs3SmLO4Il6M4D97Lx3e2sNyIljEGhM24fg4hMoo3LlYp/lsmYZzKSNU9SJcdGsgUfitOykecrOyCdLDRFt8UKz/EhyEz4cUy2QPsgnPxNrLCJ5EPSHFpNlswbnYLFUZQLv8SPRZcToJkDlySS8UEpvwSbrOQUKp50EqyHoES+viS2mdDeolRINtpBgRsXE7KUFtHW2XiRNYy/wMEl3DCeAliq8agFTAbem4h4F7FiBOMIkkRX1MXACkTDDhEGKtdG83rBfGiHHnUphouwyDZdr/TuLKUoWcRzUmBm2LM+R3UCG3UYPIM12NfeLbtK2kRt9D2hcm6ICQNCLiCOKwhrwGMWeUbgeklSGLLI9AACmufY5n62M98OvdjVwa7kdg3sPy5s2bN29TYVPtYdUaI8kqThYhGRhXh1OE4BCTCQx2R0AEC3hWB952Y6GMtf/6m2a3VaddeKIeBCdQBP3z6KqTXLA6gEw7RdA7eSTYgaR09m83NLo7S9ghgudEVG5oBDLZBHRfnotUKfasxweKPTwe0wYIDq5dUOfzbGzQxV0Z+pITAAC9Wsi0f5UtImco1T08asZ9aJHm80hV++aqqG2oZ1Khw/0detjLCetw4M4dwAaQHQ14rXSgnKoCScR0+hKacaYb84B3kJqQkb0pexPVB08NfY7pIH+iB/kV1sWL1MNIiuuI9Q0FjietCyQGnFA/MyRSJA8C6W4S8lRDeETkCYF4EjCxA4f/7BFkRWJQIQSB6gCqwHOXqZvPyS+TEs/JzgvVZ99r9haUoMJtxCVkk8mo+NWJ8TKxI9V+MREiiXXtkQ6gTTAJpYucgIW+31QvCA5MnrFgCXm2IGpMHOAgWaChFUTySRNNGEoEHbSX8DovShe6sA0KD7DkEfruBImD53sSZ/nn9DDmPSxv3rx58zYV5n+wvHnz5s3bVNhUQ4JP3nlcjtLh5LFjisGwh6k/yRCyFXEKFinBIiBYMOkC8OCd11DWYuhBUhwUoDuGNmx0+LC4J8gpHyiJIQ8nan30dCzsN96OmbhYM3bXAWtxjJjNIJwTzlVojuYsxbkzETZwx4RShFSOx1pGDZdEwqMPIxIlhsoAqyGkkR4Ql0AENp0Kpc8AnMnPezxXhCIQM8JpDcZN09ag6XDXWY0V2mw7SLmuUFaF0il0K2adLS24jLFHFU5jGKw1ZwgivapLLzI/Z7L2DijdA+KKOPVFv28gPqTI4HQOSF9RJZjpiB6uRyVZpXncPU2bUaN0KTVNBdGjMk51YvveMH3pU/qKSK8bUNlY/241nXzLTFXTZowcOQL3jAheQ6xXWWTfYtPM53rPCbSOFNZaarmMzOvVZmEMiGvieez2zULnVC/4fFB3z2en1j2m9B54BqywkWoZz/dEyRZIjSIisqlrqixlDOrgtCF9XStVqgPpcTgdSIrXgb4TZzVdCadG2aqbcfPz6Tarhb7j2bZjt34BoXO7xxAnRhDjXMtke+Z1jlQxFV63aShBj9SuH8a8h+XNmzdv3qbCpjqB4xlXvFvCGv364wz1SW63NVo3n1c2iAKsP/BBiSYa78xHS+bCp7zuK7bsux/7ARERib7rdnnQ8qsdIwruaWansrRn05atrZrkZEyOgFcWrxPdt+g4yATJFMFzoLQl4bFK7jMzRvXc5ug61VbLaQRC1KJFihjq9bE3l0DVgvTZrP4hb3u000xhh7eVMk1/W1sijjIbjYr9G51pdtc//KR77Wdf+c4ZZjxESIi+ZVgak7N7tiy+w+y4ywgo0EEzn+tnJbR/vhdjy+mpKVEkIZUVeICs3BFhvCVvHde3nXhT5nFwFYGdd76g2M/t13NFISubxMV7bF94frAemTehnzN5BfeGtJmGJx9v8TPAS6zXc8hECR6EtcL6kyAVlY2R58Km6uHJhVJKiT5mboy4l5npCdooXsdCNnG/eN127dGghNzAbWGMOV1SGw5DpA+ds5wEJ14XJktB/7HBF+o/9Ayg+5hSu7XjxbWPenitJMUMOFLpBJIMB/Kd9/2WT+DozZs3b96eOOZ/sLx58+bN21TYVJMu/v2P/LPcm55q//87B5dFRCSgOKx4UIQMkCIkJFgNChaIszIXmn8AA4qInPkfvy4iIne/j1KTqJs8fopTYcB579qhBVsGhQQmeyCa3EJ+IiIaCzG7QOKqA4MfTNZM/1iVAPAfwx3pssFeYo6F2WnGzYfc2YrWx3FGelAcLLtDWWQiWDqDiAYaYzZD/ezd3zJt7SnCsvEcCXVqLE9YQrAYcToMxHPo9e2Rez6I3k8Ou+c93qvpX6i+/T9yn4iIRKEb49bI4BN8kD5fM+M9sjVry3bNmHHMULzfA50FERHZO9u2ZbevmLXHB/3Lc2aujnVctuBTFw1EHBHmM0xMb2Pq30rbzOPulqljV8PN+2Bi1sJizcGet6+Z9nt8yK0H7jsa7rrVLVPvQsM9M9TTmzhCRKz9q0YObp2JTX1HB25+lmpmflZ7DsrBXDEpZL5i2lvtu+uO9YtZlOf0GeD5LNVd33doW0PCBr+7uUNERM5aOGrLvq1zwc9nTbPhon4RkUkKdQdXH+Z5fejW1JNax0REZETtdnWutsYO51qomjEOqL6mysBMCBfGPDdjEpDVZzqrc9ceu3Ue6hcR1ztbKRIVqqGZ741Ro3Ad93Os+OSOuntHjw/Ms2hVKM+RGo87VfwUbYmIfOf4ThEROWXO5lyWin6e0LhrupZmt71Lk64nXXjz5s2btyeYTTXp4rQ/+V0JK24nBEJAOut+/euHKoX7cejJKUJwKlnh9BlKXY9I8QEHxU96i1PEuFup8JyUb7yoEessuX9M04Cwt6c78vpR0hrTDc14jrweJWeE6n3kEk0+hDr/ZLZ4esvpUuyhaIkKBfcT3ltCc1tbUU20BddGba2osAFFjOEOUk3oFtUvCn2iekZ7zE71OU++3372z7efbq6nuagdV7r6XndSbJUm6DAa9/DhOjQPc0obOgdpk57juqlvQpR8PL+EE4q2lETCuopYjky5LmFUbCcT5EImtM9Zg8IElLQT5hIkmn9tOIO4w/UcIaJRTNTnVCCoU+qts3IH1ndAyUPdwTytPXsdNyyFPtsEpegnJ1csUaao6LjHO93zjo+rGkyOKKP1MyEC08eiI41iMtR0QW/mpI36DELWK2xqhaw2UhIegOSPHL5hn6mmHgo4HAbVMdmlJCGlJUnQmrbrhsqQnDKldRGplimX2VAaDsMBmkPfa40HVddwke/Vtui7Cc82Y9RnLZZ0MJCDv/PbnnThzZs3b96eOOZ/sLx58+bN21TYVJMunnT6ETme7rD/37trQURE4jWKup8rZrvt7VHB15wKhP5bZRhM/2VoQ+GOu0kR40mqiHHX1ee66+BGh0W8hyEvuMmD3SQ6qRBJVimBDLQ6jq+KOlGxn+qSZyRmidQSE4qiDxXuTAg6rB9GagmaC8Rd0BbHQoEEteGMleNDkt3FeKSxqmOkde5LmBsrjwnCwfduLLohKnzL2YVtzAzBN/NnbIhIXuUA5IR+zx1GN5V40+u4MgiuNiljbLdhDsSXd7sYu9W5BR2EGzeULrrdotIFVBZEXMqRmFQqBl1VMtBstzVSY4CiQavm+vRAA+0TdKiLpcV9175w9uWWKlhsdt1hPcgjtYqD2mZUBWFEqTJgW4NikA3fO6eqDse7DsKfWHUHEprdptTB2Wl3zKh6wsS932tzhiywa86RMzZbZhzVmDE0YxGt/VGJgO2cKots0fMpU7oYjiGezGoaQaFdS1IgAsqGKnU06fmhvlivS6ktqGCw+gVa5XUB1Q1WukDmZq4PaicYq4hIR9+DZt31Ce8LrwvUvTDr5ntF1x5ntkaG6YTaxToLac6OtloivSLR40TmPSxv3rx58zYVNtUe1t3f2SNR5HZsogeG1d3u13+4ZnYH4aiYIJENyRdZ0w8HlvUHyWNT6np40O2a4Vmd9Yabbdmd/885IiKyc4+j1h6r6YEibyL1YDPacJRiHBAndB0094KGUvJpt5Uiwp08rBC0dxqPqDcV0YGy9YRYDnAWZaxCgQN3Si2h/QxL6ssTF8y/xOJ1W8RucbfOh/CgHienmB3bU3cesZ99Vb0F3qGHDyiFfqejbW8+YOj3Ge3s4JXFRLIZqOZfhdOq6KPvNt2Ou7Jp7lnd3GnLquvwcl0bnU3jxbHHuLFq6mFVCcwFnd8LHu9W29SxxVtL3ciu8aH5ppI+6Dq00amR56TPbEAJSLtN46VERMbBoXmPvOw1eNJ8zo+5J2cGz4/5FWv1IpkBhAqknxER6UMdJC4e+HcrhpLPRINY0YWjLfKKtY1cGhIIjBAaUKYMcaymOoSUguf+Wf2OyalFgOEgBeP+wctlggWQgR6tFZvaRuckyJGqigQUfL7FZdtQGBFHcAj4HVFCy/GKWxeREtY2mkWUhsk4QIdWmu7e+qoSXwil6ajeJpMuujMzubGKiFTXotx3ysOZ97C8efPmzdtUmP/B8ubNmzdvU2FTDQn+wNPvkePiYJnDd+4SEQcDiojNfjqZK0IwDAUks8W4HLjCELIVcWfq40XG0Mx1gAFFRJ7yf31VRES+81fPddfBtWZ1ByUHTCiOBOQIhk8CZFFVFz+bEN4C2IYzgyokmHG2Wx3vpEX4TZb/TMTF7eTnQtufpSylocJQlFYA6VQY8QL8lnAakpIMsMGwJL0IQm86Bhr72gOnuSo2q/kxiEimkEa24SDb5QPHRSR/8I0D9O7QQbFNJRWsd0gpRbG5BUqnsL5poI3Td63bsgeOGjIIQ7W7NcVChw7w5zSlA7eLdBycsgGH4Du1jkqYJyOIiMxW3fUHjxnyEaeHwIE/H+53+mZeyggRx7ac8gQOxpmoslg3MCurNoyVgMHpKyaKSyIdiYhIXRUf1vpubnGAz6lJOOWGSD49xXLLKCl0Rm4+2zoeKIKIiKwpsSMlbAxkBiZEgEzAY8RcdYhEsqx1T9LiuNnwOVKpiDiCSIue1WrHQJs8P7gOaiyMNKIvPDc9XT9ldTARpK4pSbi/WHu5tDNaxmtlVscB1RURty54vg/Ome9gzoC9S1VeeB7R1xqpp9xzbMmTLrx58+bN2xPPptrDeuHid+Vg6HYEKzsNqSEhAgNOsjPSDcT2pdJ09y60zO4R+ngiYr2FXIoQaAOyN6PUdSZYwLN68i98zZYdvNJQ4ZnyDVp3ZdH1Bfp5wRKpJoACfNzsWHJeCBQPJnSgvai7J76sZXZooyElDxwV9yxW+2SOPTEzxhyV+37jVSzuchpiG+tmlz4z53ZNvXvNc5k9ze3KMJ7JmMgwc6Z/rMcHQsVwy4x7sUW6eKqrGNBOOptBbgvX9efsPCQiIo3I7SjXRkTWUVtQvbtvxE6fcnfTjK1O9x6qLYiIyDMWHrRlTLWGnTlvPLvvBi704umLq4XrVgetQhtHlGCwd9bM985qt3DfQsXNBfThWKOwrjvZXXU37/d3Td8Xao6Ucmp9Q0REjs46jcBUvSies11VMxcbE/JA9RR+bVTUBVyuufdhLjbr4fDQvV/r+gxGpJE3p3p8Ex0P78bPbBq9wCMjt+N/oGfGc2DmuBtj3axLnk+Mp0YsgPUZJWSRR7Jb54r1+J4z90Ch3UT3+t0JhSeA8k3PpZ+a76JW7N6HBxvmfdhVdc+lrcwkaPCFtICPDM1zmSedv35i3mF+PjOxvt+k/Yfn00/cdyLW2ykN9y7jWSxWXd9nI1NfI97tyrSN3XX3zsO7Xqi7NbV/xqAPR0h3Ev3ndRGFqUy6Q7lbHpl5D8ubN2/evE2F+R8sb968efM2FTbVkOCX18+UI9ku+/+Ay1jc1RkdkurHk4YrOzZU8dDN4pQgU7CIi6HgWCFbR81dB4IFYEARkQOXG0WMg6SSIYGpb7xJSgElgpkgKcRKxGBYEXEM3CdLnKBh96H+wGQKG0fjymw20waL5JqyoxEdwCqxY2PNuf3IfrzVc/OIuKbOirsXAqYBQZJW2YMVcbM8GYYVFUKFbDlOBLFmLO5625F9IiKyRGk2NocGTuRIfByWHz7uYKs1qBLQATVH/sOOrZuxMekCpAK+/l+zPSIiMqaAqb4eeOeUOFSNAKoSK7FbWzhUZ7gMB+M51Qjty1rDQXjrOp7jFQfhrdbMvd0RQekltnvGQFjdMcUMal8YEu0rUeJQw80jUlk82HXjABFgSKSLhs4z4LUKEWWQ8qNDqTKOKlGEU6OA1MDKECAzcAqXtq4lbuN43dS3NSSoT88QNoaUZVwhS14/eC5x6NRYbPsE1YI08mDFzc92EgcTRro6n3VaHyOdbyZ4oH2uq6Hkmh6RYvB8mLwCogqTOGpK2GAyDtpYbbp3eWXNPNPNhiM6tfX94nWBvj6gsLSIyAMb85L0fHoRb968efP2BLPH3MO68sor5VOf+pR8+9vflkajIS94wQvkve99rzz1qU+11wwGA/nN3/xN+fjHPy7D4VAuvPBC+dM//VNZXl5+VG1tjWrSS2m3pxHcCaV9QBlHesM7yUjHriwiHbt6TolgJfJp5qw2YImCBXtC8KwOvM2lJvnOHz8fHXD3oq/saVmSR1S4HmOLSS8xQVB5WKyXtfegMsAKDZbuz9sZNM/RAUhxkOOwF6+zf5f0hUMLXBvF0AKoeDDttovnR2oeUHywKSHE6cIltAbg1SQ0FxP1KHl3C3JIl8pG6o23B25HORlijbi1shGYHfmYNOu2opoOsUgsGVGowkSVWUCJH8bFV5X7OdQ+sWbcWL0JTlyJRKAJeXjQJhzSLhzEGybAHAvMouoT1Rx0caaf4x72UrDrZw95pJ4VJzjCn+gfLQWJAtTr3nk8H6bLwzutEs16rOSeRm1cuHcyyXs3Im59iLiEnf1x8RlMSujt1RLdR5YUBY2fPaEx+qLPjz3BYcn18N55zeBZjNjb1Xt5PFh7m0LrV+ebaegdqem9FbrX/MueZaprdRi6djeDeq5e/juiNTUeR5KOH7nf9Jh7WDfccINccsklctNNN8l1110n4/FYfvzHf1y6XcdyetOb3iSf/exn5ZOf/KTccMMNcvjwYXn5y1/+WHfFmzdv3rw9gewx97C+8IUv5P7/z//8z2X37t1y6623yo/8yI/I5uam/Nmf/Zl87GMfkx/7sR8TEZGPfOQj8rSnPU1uuukmef7zn/9Yd8mbN2/evD0B7HtOutjcNFz/paUlERG59dZbZTweywUXXGCvOfvss2X//v1y4403lv5gDYdDGQ7dwVy7bXj8u5sdSTMHBbRn9SCQ4JYkArzm6kPGzRy1AW4qefjIesoZjAOF5rK2mzrAhGUKFpw+AwQLCwOKyJPfdJOIiNz1Jy41iYXJCMKCEkWCjKQEw9nUIAQRWfHMiOE6PRTukZtu069wWZKvQwhupT4BCuW0ITa7LaeJSIsZfwVoDddXFjOHyvWyMcM3eM4soAHxTiJzzM+Y+JAGqTvgQJ4P/HHgnDu0VhIA3wvjA+/j+uxDWgOIGTu+4Ugp25UcRETGsekrH6pvaf8Wm6bvDOuB6ICYHRGRldCsfVZjAKw0WysezDNsBTWEfglJgW2HklbasYOSUF+FxZh1HTLJpanKx0xwAKGEIUY8AxzWs8IHlD04bgrtgxAi4uCymNoaRqY+Js/AmOyCuWDYamfDoEP9Cql56LpkaMyOtUJpQzTGbIbKjvYMtDpH6hejbSQOEB5ERDYVem7SGgSJok7X1UpULdCXXs1BgiDXzNZc+93IlPGarur6OiJu/VZ03bT4XlVlmW26MqzbDsHCUJrheK3BOJYkKaaBOZF9T0kXaZrKpZdeKueff74885nPFBGRlZUVqVarsrCwkLt2eXlZVlZWSuu58sorZX5+3v63b9++72W3vXnz5s3b49C+px7WJZdcIt/85jfly1/+8v9RPZdffrlcdtll9v/b7bbs27dPbj54QLLYeVjwCMIdbieSaTqHIEfbNv8iml5ERLY0SRoRF5BqJF530zSZN7uBxlF3L5IvcooQaAOygoWlrtMOEZ7VWa93qUksFZ6co0krT1JgEolNC0G7QqSWSKkMzkrUZy9JPUG3eZS4HelnrixFGoMNOnDXeia0jNBuQHMLRm+0VnIdC5Do38mAlqU2i5Qnp8676Px2x5Aa0iEdPGtYQnqKo+euHl4w9ZNuITQWQyLUtOvGS2HPsot0D+z1adqQrZZbe9UHTRmJDMiKUvvDLdfGakfXCHvPtvPk1aiH2FaadVhx7Wc4vK66skm7qKuINb/OfccBN2s46prK+PAbYQfkFa9WVUmG5jtSxCGhMAZ4vBzmEWpf+V4oumR9d+96TXfzUG2hObEEDCYoafqVzSVHvU60jBEPeO/rnOS0JEUI0vewBufGnHnOCSvJ6DPgOQtVU5MTKMIDDKgviY53lcoyEKJ0vBl9X7ncKEJlWj89R1yX8XeD9onnXfTv4w3nneEZHMspAunzodRMaPcYKf3ED5q1tz7vvv/Wq4p20ZzhHXowdnT+bL0qaZ++fB7Gvmc/WK9//evlc5/7nHzpS1+S005zgqV79uyR0WgkGxsbOS9rdXVV9uzZU1pXrVaTWq2Y0dSbN2/evH3/2GMOCWZZJq9//evl05/+tHzxi1+UAwcO5D7/oR/6IalUKnL99dfbsjvuuEPuu+8+Oe+887ZX582bN2/evInI98DDuuSSS+RjH/uY/O3f/q20Wi17LjU/Py+NRkPm5+flNa95jVx22WWytLQkc3Nz8hu/8Rty3nnnPWqGYJoEEkRFaIUzjYpCOlGHBFKLoRMuC3Euq6j+y654zbi1KcXFIFYo5PNcdYUDjj3C35zJVyGXMkUMJmeE/XyKjpQOlANVfOCMpDHikWboOoVFJg2CIlRdgufExj5RttkU11V4MvT64vl8jgiBmLVc7JqezzIqC1WOHCzbyLc3JKHUbFLcbwFWZPIDpjsHbegaiSizLEL6WCllokFC3At7B8ef6Xhzc5GUQDlals/iqvNdpTIQfrQrKdcBuJfgMksk4my3iHWjeYI6CHcz0//DOhJx8YgZNZzgT4KXLAlnUjIeWucpXiJWNoGKCUGwGRYEikgcOQMMRUSHCGQgqtfObYmwM/fTzhlDc5oyJyCobzxA2g5XTYa66bsmBZRNXxj4i6FVse9rEQKWJoLiijBcDrpEdmFOL1wCcSIFENeH+cZYRVwqo5S/7DAFNEbbrrvKvXOUORiPiNd5Fuq4GbIcBiIlGeBPZI/5D9Y111wjIiI/+qM/miv/yEc+Ir/8y78sIiJ//Md/LGEYyite8Ypc4LA3b968efN2InvMf7CyrLgD3271el0+8IEPyAc+8IH/o7YqtYkktCOAl8QH1OMqkgwy6aK4u8bun8kH1jOg/ISzC4aS2SPyAbyOhDOO6I6FU4S4D0tULWiTAc8KlHcRke9cpd6WFbwo6u3xvge7Rj7wx+4oJtLFUD2YjA6j4bXWV0l5QXd+OSKGTgETQNCVmHZNKfpCW1R4Tqx/iKUzXKK+oD3t+yapS2AeIz54FtOpyRY/SO1Ti9JN6K5xzPMIdZJGyc6croMnnS7SOpvT5JM8j02zcNIKkxn0X6IeW0+JdtxZRddyo+QgX1VJeMefNLUvTCxRL4EJI2kM5g15YiA/MDKBZ8q7Ye1fUHP1JSXkCNFkm0HDXYdnNCmpL+kSWoG64Zzyob3tp2sKIR1MasgQhkIeo2AOaB6t80ioAUgM7AXE2icmXSC8JWA6v35eaZCahiqQVCjJ6UifS0jzaFEAfDZDa7Vr5jOcJTKZErxCIk6AfBTQs4hBduF+6jsS0HrD+8DPDChFuubIFECEKi1HJkuUpJVDX3RsWUBhFrPFkIKkFkmaPvxvhu3TI77Smzdv3rx5O4nmf7C8efPmzdtU2FSnFzln332ykjnB3HtGJjNmwqk64OKTu2qRDxahgEvMSJu6xJP5onhoytCPwlUsumsJDpPiQX8uW7G62IizEnEECwsDisiTLzXw4J3/zzmmfoZ+1I3PQTUP8WiziA6+0ZdcDJAKcTZpzgAd0jxm2odgUHIwHro2EoVoAo5jUXgnJeFa1MOwGtqI1sy8r2+6eJtsS2Ou+OBZ+8dpSw6cbTIDL9YovYhmlEVaDhGnQsHKFLW6gTEQuS8isrph7nn6niO27K6GSXNTJyWF5ZbJysrCrFAr2Ow7aBP9b5EKBkRI92gdrBCB66EeISJy97rJatyg9qF4MF93MWkbfTNuVlKAksPhLUqjowoTrDSxZ6ada19EZKCZb5kMA3UDVkNAepHVnptvKHGgTyJOfQGfDUnIdalunt+ImDoPtk2fT19Yt2XH+ppyhBQ0MC8RveB4BiyoDDWPI123Bp60YLIZcwoTqHSwSC3mu1V1872lqVA4w/O97UUREZmvueuSLO87cDoSpMLZQcohxzTubGfTabT2J2a8nHYGWZc5C/GDmn5lZ9PVd7Rr6ts96xRDZivmWdy3sGjLoDKCTNgiIt9ITdhSs+HmEfGSW5SK5lS9h5VKvlk/xacX8ebNmzdvTzybag/r+GBG1iakdAGaKtG7kZCR6cY2RQhH++NQlg7ry+jdkzWz28mRBcCb4MhxrRtJJUVc8kUWLIQ2IKfZAHWdPUB4Vk/5v74qIiJ3UxJI9C866h7naEm9GiZEgKpM81PZUFIKEQ0wnsksdQAU5HnSpdOxZaTmEeoBbTLnPILqqunXaE/x0FXGJd4ea8Vpkshk0dy7d6ltPzu8uVO7xm6xrgHyNlfVi+pQ8Dn065jMAF3BXOoNnT8kPhQRSfVz3oUPNVp/2HPrBzvuftftMoctt6u2ZZp+hHXpBn1zD8TKWPvP6fc5Lw3pIzpbrp+xko9Y/7HTNffU66RLp3NRlr6CPTsR481wUj47BtJkLNPXg7FnifYYhUAKirI0G/D6uA6kvoBXJSKytmW+E2Kasw1NoskeMNKbsD4l0nVwio7jA03qSAkuMcYcrVytTYkRcV2PPA2kWOF7cR3GH9K4kbqFU7hgftJcHUWqO3QS+V7M+/rArRU8v+M9N48bofkc6XlE3No7LKRWAflOChuBx8balt8dKwrAiSiHsaRDYrU9jHkPy5s3b968TYVNtYc1Xx3IqOqw4XZTdwd8VoKAV1YFR4AdeRCg3SYlDEumBWe644/ojATq5rn06LpT46BEm8yRPQirvcc0cG2PqcfaP3hWT6IkkHde+zxttCR4kjeAiMmk4El4UVG/OB6+LsOZBuvXPURSR44stAHD3Bd4VjzGcTH41Xq3edF2YzjrIvoyzsv4TK6lCuB8fpHEpiZOWojdaJ2weOzI2cMBBs9K2Qgk5bPFqn4+CN3uGmcpnMARngOrhm+/vlQtnhTAe+phDaleKGvzjnagXherlmMcnEYdfeLzBqhs85kc+sXJALdfL+LO24Y1Ti4I/UXXvxntV1la+EZsPktq9Lx1B89ttdWD4TNBeDU8F0h2yc8C7XPCxRnte0iLGmrt7G3yeoBh/vhMalTTsy464xtvSwTJnhOU8KOS8zJWcMc4ctkGKsWzO5wLsjI7jOtDe+Ok6NfwegRzvUFeO9YXJ73EOzRHZ3eb9bokqfewvHnz5s3bE8z8D5Y3b968eZsKm2pI8PZjy9JP3OFfddXACKMdDr6BLlxAXud4QV3rDh0U61TkdMWgQ3iMiBigv9NZdNRR3T7WxAKURZHjIIUw/IdI/Yj066ymG8ECoK4DIrMwoIg85de+IiLbiBig2DOxRCPhmeDROGTKevvcBMUgYhBkinGPiEAA7b+MUnRUlJI/rlDf8QdBd9C0477YlAm8j9KyTJsNg5LrS/Th0hk3ntUjZo1USYEgUciW1QvGqls3ahM5QyHQmKBQpIkZ7aDXR+thZYa2pr7h1A7HlDLPqhJIVcEKBamm6xjOqioBkw90jUYEQffaBpJj6Hugnw+GdOCuencgdYg4cgbfC+JJRFAoqPbjcfFrYzyOCmWdnoMJqwrF9XpubvEkUzqs39JnBGJLh573VkPbJ5LEoGfGcQ8d7mMuelUKb9F3qU/jTkvIIb2B+ZyJIBBi6A2o7w8hzhDzc9Q5ZQII5r5dqReuw7hZg3Sic8vPG8SKbo1UNbTPKUF4lnhD6xJ/b1L7EyX+VOsMMZp/h5T+I4yR+NSVJRpe0hk7qHjYjLXvbq3EugbatC56mw1J+4/cb/Ieljdv3rx5mwqbag+rURnLhA46xwhCZbVkaHS5jZXV+UtIyRwH+AF5C1JCKoBqecQqzXovB7za4GBWylYiBKuR2w6GRc+OmQsICrbUdSJYlBExvvuHz9f+sl6i6veRp4PEiHGHqPYN6+q49uHF0C4PmnqJY8e6HtNWCIraLK6OOWOF51IleIQW6EdMs7aBxnyfnudyAj7orYW8awVNPyhpk7wpkHGYUAMSTukum2UNUTdHB2DHTW0kyvRhQkmKRJ3qWUVMTtF6UyYSaf8yJt7oeHncaITL7BzQ84k1PTrv6nFwP2L5xQjkjGLyR/YqkK6ePTZ4AlnM3qOSn+DhRTyhomMkjxreJnmg8FQrpCk6guI6efTQJGRvBvPCzwIEDO6L9YjoGXB7MPa2YJGWlT0DlPEYK9VJoS1cxyEYaH8SlDxbJvnoddy3LC32ybbFWQHC/PMxN0PDtZhsk+n5ztt0twZxmkMWHs68h+XNmzdv3qbC/A+WN2/evHmbCptqSLA7qkpKmnX2AJ91A5F+gJQpKm1152usAqHuaoeT2BXbTJc1duIQHejqdWGPbtC/s0U66G+oO+2CyW0ytZCIA0i+mIvh0kdlFSxYaUMJFoABRUTO/E2jPfidP3JlIE7EXXfveLFI+oBKR9ym1CTqtY8pjgaElpSUM1KNNcvdC1SCoEiQVrgvqSYwZCIGxmnTgbAaw7ZUFCIiIcgUDLEqfDEi8kGKmC+CDm2kPsfYIcVCg+Zb7xmFFLcE4g3BwiATBES6wKejQXFxcQwXdCdTHW8uBQMgGIZbenHuMxGX7mLI5B2FvBNa+xbeIvIDYLIxQUkTpOohOGgCTUi6N0OCSSI1DMM4Nx4RB6mmNBeITAIpZTRmsgBIBdR3hfr6FOuGNBuDkoSdIyaH4DnTvA8xF9SnTmzedSZiZCXJMccx4Ft6LlmRdDFSokhQBneWpBtCG5w2CWPkFCXj0bY6RCRWODFhEomulaQkNUkp7NgjcpqOJ6F0KXjXJ/zOQaxn4O6NNN3OaEiD61RE+kUo9UTmPSxv3rx58zYVNtUe1jN2rchauMP+/93t5eJFSm9OedcMFQomSSAJY50OYNX7mczT4TES0RHl2+70SXnc7tz5vBtFfLCpnl1KZUhrz8kXbR0lOzDsEJlgAc/qyZe5JJCOiOFuhRfHXpJVkCDNQxuoT97PBNR5JlPgAJUO4ZHYkrUbM3VQR44Jaz2wjCjp2AVDBeNYh9xT7G7JE8U4wi23tGfPMCrRO2edsjVUHbpDtzOHqgLTsStQvyCFhA2lq5+6c8OW3R8bRWvWvltoGfWFdtPVNzdjWCHDEmo4K10M9PM5VWtgOn9aovN3rG7mpUokpIl6M6zgjvHOkEI5+twm2jYIFjF5AQsNMx7WhwM5gFUy0PcdM04NHArirKk3hs4ePYN5VSWBGjorPkCZoUuafpjH3S2nMr6muo9ltHUeDzTymqSIgee8RXOBunncVgeRykD8qNJzwThYmX11y4Q2sOqG9Vy0PlbNQDgBq8pvlah5YIWwwj7mHUruIiIbqsU4V5IdYJbnQvtwdIveObUlyl5wX7ZkxtN0/VuaNc+eFfPxbKuhm597o0VJekV9zROZ97C8efPmzdtUmP/B8ubNmzdvU2FTDQne216UduqULmzSPlI0yLZBSiJOjJVJEoDGOA0JSBJhj2IdduohphDpAtBUn3A6hc4aLedi99EHOtgEI4Hzt2EcrOCwvZ+E1pUqWIBgUUbE+O5/cYoYltTA8OgERJBC8xJ2eM60jCLVERMVDlg41/zLRIykVRKfooexSUyDmyDFS/FAG7FrTFYINWJ/vNN1fqujKhDUFtQaxiP3CgwQY0IH6aOhXlejeD9NIXK049KLJH1VSqH4KkBOrDywqek/+BDctk8H85mN8ykKtOJvXh1D7Sf+5Xs53QeIJUwgQH0TFo1GuwQvIfVFUpJSg9UvMKcMydVULLVP8B+eJZKichvbxyDiUsJw39HWMZofqFUwOQSQKsdc4Rk44NKpWTD5YC0yz4xTjgAK5Vg8xB4xLAvIckDz09V1wWoR2+O6tjhmUJ8LE44GSCRLz2JcoogBCJTXPu7l+RkqIYnXSkeffa/rIG2slXWqL9Pvn2HgxrMmzUIbqJvh7dGgIunQky68efPmzdsTzKbaw9rs1fO78RKD9xEQlbK2rjTnOfZIzL8ReQbwhCLK4DzSHV1MNPAJ5P85RUfLVMhUangLAdFyY/XeIvLOJqo0EVMZ0tpDBSOX+qNEwQJ0cSZYwLM6882kiPEHxgOLN2gXPq/1jYo76YBIKZirhJxNaDZGlLkAm8CUrrPhA+QwRdpeQLs81DcyuRpzh8JbodnFldGDuV5Qdnuh2ylafT9S2kjgZRJBB4SOAVHTkVSyV6HknKo3mdQpfcac1sMUdrTB3rP+mcTUrq4R7FCD4qOQkA73x0qVloTrNX3vMeVcP5+wugDUYEYl+1cq6oIYQJ4YuDUJ36tIQo/6MlJK/IQ8wACEH5of1G09GKoDigtM28bufisgXTzQsFkbEX8TDVz03qRCz1a99YyeN+gc7BXDs8qlLYISCEk5YDystThWbb4J9SUd5+c+YCLRAKEIdL2OscdzgedC3lmlVqS1J/2S+hQh6PN8R0VaO2yLv8PWVDdwnnQs8fxoXaAPHI6RbcWS9R/5z5D3sLx58+bN21SY/8Hy5s2bN29TYVMNCaZJKAlBblWFtUYzRJLoFCG3wU51ScntBoQEpQYRB7tlDL+tGOiB04uEfUBjxdQXDJUghorVNCZzqsRBh5MgLgwbrr5MxXQrmvqD48CQIgRCtiJOwSLLZfRVIsYfEBHj/1YiBpEzIM47WiLXHaKcTRKfXVMYrOXKqkdVBWKBYkGOR9onmjTorRLsCNFdJo/EWwqJaVR+jWAwQFlplxQnEKZGaV0QE5eDXUpQRMAwOU4BiB05gc4iDI11w6QdC9HwiTf+zq09YHIELynsmIIMxNeX9QNwM5OLQEYhCAYpXjLaq9q6S7avQU44tyjMarExhiKtcG+xz1kZhDUp9rkM3oJo7ITVKqCiwiLGem8uU/i4mLbDzg93E/0r6TsrbNh6+DJAu6zyjEfLMLctK9aX2jVThIxz19dK+h4U+4S5YmgVay97mDZKJWkxbroV5LTcmi5Zrim+RyleVEJ5VG6T97C8efPmzdtU2FR7WDvmutKLSPMrU5ox7zDUE0mqRdLF4FRHf8fuJGzH24tkQhRseDrSpYNVeDu8JYlLthjQhyNPLFLSRV59Qv9lqrnuLpMGPEa310DyRU4REpXq/KlGIBEs4FmB8i4ictd/NWW8aUU/kzlH2XUUe/Ls5oo7MKTKyNHuQRChHR2IGok7P3dzodfldtLY7RGtfdIo1ltbMJH0nDoBVGoWQ4iUkp7kUjGYumuU2K6v9dQofGK4ZkgPacP1JVS9tZRUBipNc09upw8Hh8pGsbkH6gFlyfs4pUY3MASQhLTb4BXm+qn/cqI+pJlgYoBNs0FzUVfFjB71s6ZadV0iPWDhNJuOIFNTyv5WVBw30/6rNejNKbmJ9POgxzchkgSo1DPU1qaOAzp6IiLj1DyfCmnggdDCNGuk8mCy1GzTrJ9xLSrcy3NW1znNpT/B9wpTubWeoMRRxXPOJZCEbiFrQur1nCLEhSe4e2ua4JHDDlBfleanH5n1U6EykCMmFKqRliT2HOpajWdoTSFxJHl2SJFTIYWPrXEogZTEz5zAvIflzZs3b96mwvwPljdv3rx5mwqbakhwa1iTASlOVI5rhD3BYMjyi5QiIi7+Ktrkw1uFWUiHEXFDIcVhIT0CpwOpH9Y4BCI94CCSI+ERt8TQ2GROs39yOg7tcxARZqCxNEAFcJ+ISKxEjIRJGoDJShQsEGcl4ggWgAFFRM56Y1ERI1GhW07HYZMld10Z4r8y6nvSVFiEYMxQ4+JSiusCPFfpUPS+Pqtw08AOo1MI9lTSB6eBibd0jHWK/6giXQvBJyWH5viTY3Cg6jDgtB0geRDUltaLR9RBCWQKuIyJA0jNEVFcTKaQ8xDwI0F4UD5oUJtQ2mByBogLTALA8xvnsuyOC32CMUQEpQeGssYQkmakVj8f9J2qRdAw0CZDaCACpNQ/9AEEC4bmKnFREQHpKwZ1d122LTWLiEvNwfAj2mVVC7TLBAsoTOTSqtiYIjdwKEiUZe1lSHeoShwxQWPbYb/c+ngItROGCbEuspyyiaYS4TiscbE+ECIS/s6RsHCvzfzN2ZIRnzcqrh+e2zg264znMZuEuRQtD2few/LmzZs3b1NhU+1hNSpjGU3IW9GdPKexSDR9RVIlFYge3JSifACrS4wqoCoTnXTZuGBJ3x0yp0gYydehbvKEQJjgbQISODJNHrT2+qrbsWBsIJGw0oUlfTCz2HpstMvUDR1TyUFdZy5DmSLGfe98gWmrXtw9ct/hlbJHO1EuTEhqIwgBCOi8FaEHk0axDO7P0Q2n32fbJE8j2DRLmr2+rGV2djiAFnHaaSmnPMHzY+q13fkWms3vpDGBVVcfSAIpeXvwTnIUexzME4kiUUo2PBzeDaPdHKMZyQN57aMN3pmrF8c7frtbZ43LEkJEWNIX7PCZHDEZgfRQohfJqiT6iMbkJTBRwvSJvJqk6BFBmYLnLtYx8o4f85OLMEiAZDy055KVaCdaPUdmi2s9nKwRnliVygZ4XUvUS+AlRUSmSJSgVCU9y0EXXhqFmWiFEZWBKDNkDUVN8ZJrH2gJXYdxDLtVui4rXCfaHIf/BHgnUyKAqEeZZtvWWVnExgnMe1jevHnz5m0qzP9gefPmzZu3qbCphgQXGz1JUpeydgOxIPwzjKhuIjpksR7KVlwZiBoQmRVxCBvHYeFAOXevwlsZwRJWcYDVC3CQyxkyQD7geCmtGzCgCBEqICrJbQHaYJc8zf97IoOCRUQpVECwAAwoIrL/in8SEZfJmOvOaBXZ2CzKl4LreDx4HpxWBZAlxzIJiBqAIOgg3c4ZoxN4FnT+i8N6zrJbBvMgLqXLB8UKrzDpoavzzUK8vZpZeyHFrFQQi0KH1nWFJXMH3kkR8oE166PC9ViDMal+DGoaC0NQUqhrGXWIiAANZ3gUMVJJUty/cn2YvxGNJ9Ln0qfUEoBPEb8kItLSezdLMiczvAQIC5/lMg5rHZzF1tbfcM+ijXoJfkQbDNf1pVoom6G5gi1qdt0BpReBmO6E1iOeR70kc/QMZX3G/NWpjFOHiOQzV+PZ8/V4VrM0bhBgeK009R7OtIx7OdMynhmvFcCYo0bxZyKXxVrVb6KmG/esxsVxZm1Agrn4wUZdgsynF/HmzZs3b08wm2oP61hvVrYoZwVSb9R39G0ZDmhHRH8HixI6dSLO02FvYTKvOwJSv1g6wyQbOLpFF+Jsm1JVZLPm3uXdm7bsaNTSC92tNu3BBu1QQfYoIWIE82YHVKGd/AiHorSLGte0f+RZIvkipwiBNmBOwQLpDOg6eFZPvowUMa4+1zRBqVbG83oIThvV0U4lEFAYwQSeENPBkWaAKMUgVGD8iy2Xbm9Dr4MahIjIqKekjAVXBg+mS8kDsS7GlO7CpowgQgQ4PZxIEJ9vDShfCj5jLTZoR9Ih+FBpxnyQbSn2Jd4HJw3c3s+YVF7geeeUQNQGo6L3M6LElSAGcDJL9xmTPYru+mCUTwci4ujkWz1HTIIHwYoLVd1xj0idAxT87YoX3MaIyBTwXvlZYN4ndF2s7wvT6kF8mVDfO7q8WC1iQwlWZR4oe4cYb8oe7aBauAeEnzJiB8bP4QR4LuwJIkVJl8twXY6IYfrH6wjjQCJJEZNIUSRPipnomud3xI6BVD9AUkooTcigWsn1SURkWBaWMA5zYQ0PZ97D8ubNmzdvU2H+B8ubN2/evE2Ffc8hwfe85z1y+eWXyxvf+Ea56qqrRERkMBjIb/7mb8rHP/5xGQ6HcuGFF8qf/umfyvLy8qOqe21tRoLAubWhQnLDPh3KrqvoZZdFVhUOIjJFqjPB8UNQzmBo7ujqvIiI1FZcG0ilEZKWbhoal3n1/kXXP00ZwUQD1M3xX7YOFsTVeJPguBnvhBPGqnfO7QOmm8xQnJFex1mVA6sWQTBhSXwIiBOAAUVEznrDzSKST00SafwTQ6vN+1SNYNn1BeK9AcGymJfKVjFAZLTTQCTzDXeQv37YPIs+QQr1tgobzxOspyoZnJUWsWgBPYtJZK6rtuleEEVYh1jJLT1S/aiuFfd+g1ZNx0oxaTMax1KigDJpVAtlfSVzpNUioSejMsCtwxLR5TErv2hMT0KkITz7XIZpDJvWYKeq8Ttl2a77xfGPSeR5FNf0XnfdUOuJKD5vohBwgjaoS916MQYRfe42KMUM1hb1BcoVKc1PhPRBLDpcN2MM6R3pzGndSXF+OMs35mIjdusMfV2ruLJI13y/WULS0r4QEmtJVVsRfddpu/1OCYxLsHRfIf+Ang/mZ5RrX9dbmx44YrOIkIW1skXX1Y8VjxAG+l3HIt0bs7q+aalUNiJJBw/DDCP7nnpYt9xyi3zwgx+UZz/72bnyN73pTfLZz35WPvnJT8oNN9wghw8flpe//OXfy6548+bNm7cpt++Zh7W1tSUXXXSRfPjDH5Z3vetdtnxzc1P+7M/+TD72sY/Jj/3Yj4mIyEc+8hF52tOeJjfddJM8//nPP1GVBas1RzLO3M4lK4sS18N37J5F3O6Nd1ExvBPaRE3mkTTR/a7PLBhCR493NiW7zETTGCzu6tiyjbVZ7SftUJHDjh6Fo6STJ6S7+WxxVOhn1oeWoCuzlG+mjWv/EuIK2OSL5GFBJSJH+gCHgwgWZalJvvPHpqx6jNKf7NW0JuTlon/JDO14kWqFx4Ydsbp9W0PqPFQO6JDZ7vL4QHtWabeUWgIH7qwbiDnI5QfEvJDOX6C7y3DJ0YJH6umzpxrOILVDUXEh7VG6B13CSFIpIjLR/oWqeBFxOhKQOZhko4fcnGgyS4pJC0HyCXL0d30WlDLHri9OvTFT1IKzYR4zNN+YU2oDaT1Y1xDe7aRPEw5HA2oV9HygtcgqIYneG80Tyaap7wp5P1Ki65iiXUr2GeqaYgJBZdbUzRT7nCqIrVA9xtwzMGU5klRsPI2I2rXaheDfcD91vKw1mej64TowV/w+oN2EktpOlOTC10GTMaQ1CELJJC56XdGMu26oXyisMBTo55NZN09VTa3DczcZNiR9FFIX3zMP65JLLpGXvOQlcsEFF+TKb731VhmPx7nys88+W/bv3y833njj9mpERGQ4HEq73c79582bN2/evr/se+JhffzjH5fbbrtNbrnllsJnKysrUq1WZWFhIVe+vLwsKysrpfVdeeWV8nu/93vfi6568+bNm7cpscf8B+v++++XN77xjXLddddJvV5/+BsegV1++eVy2WWX2f9vt9uyb98+SSahZMRgQFzVJKLDay1jokGZgCvUJUJmHEzybrqISO9+E0tVo0N2dCGhQ2ZROGJjfcYWhcfUteY4LFV1CEuEeHMakXrAHmpmWyZuVPRQn0cF9Y2U4QnEcpGgQvWoxsfMubsB3VGIm4W6EGcl4ggWgAFFRJ78JgMP3vNul5oERBauz8YNUbyWVeWgM9gMmJPCEzNVd8MxjQFKR24yKiAO8DkuVBMoLgewbC52DgobOYXUfB3cT64PB9MMCaYx1F2pDfSrJF4qY7HWQR4eZQjPjoeZG4A4aS7sOqsTtqv1Qu1FhAgdXB9iCwl2tJAYXWanpwRaDUrSbPCc2Zs5DqcKSC7Kj0FcDFkO9oSCLsN1IMMQROWeAYvvZoX2bTU5ZWF9l8bFvjO8BRgvY3KG/plL3YIlStdtF+LNiSOnxfWL51Mmosz9hLBwrk/6N6cAwrRwqo8Ez49xOJBxkuL7wN9JNpaR5mcM2JFVh6qpZMlJJF3ceuutcuTIEfnBH/xBieNY4jiWG264Qa6++mqJ41iWl5dlNBrJxsZG7r7V1VXZs2dPaZ21Wk3m5uZy/3nz5s2bt+8ve8w9rBe96EXyL//yL7myV7/61XL22WfLW9/6Vtm3b59UKhW5/vrr5RWveIWIiNxxxx1y3333yXnnnVdW5QltPKhISLxk6yXNkOZWRXcba+7gkIkDsEBF1nKpMlDfmKjue7qm3p7znOBZMR0bDtPMnKNhb+GgnZ0p3S0GJMOP3U7MNONQCRNIV8Kb6wq8EKoW6UVofkAyiViFYqGYmgQ7L6b4Y/vEChYgYjDBAp7VGb/tziMPvseUxTQ/IFOkVQo36PHE2CvNdeoZdEekHAA6Nh0UBw8Wl3Sg3m5u0wxSw4h3uXpoPeZxm3/SGtOCNSyiSQQCVM6bRfV2Avaw9N+4Q95eiLlwPQThBjtVVt9AJQntcq2HR14+qMq8u8Z4M8qXgj+jrWICPt41J0peKfNeA5oz2y6NZ6xJNAPyAC0lnr1cUM1LPkOSQabGg6iTc2r0eYf0niNsRaifZeo2aU0JWUSgGiN0hhvBHPBXCajzTD7A82NihxK2MgotsN6tTd7K49F6SWMTz8qSpkRsqiKu1xK82BPE+8DhATpe9pxAJos6/N1kPk+o6wgZSjnxaau4LjAvSY8USNqRpIPiujuRPeY/WK1WS575zGfmymZmZmTHjh22/DWveY1cdtllsrS0JHNzc/Ibv/Ebct555z0qhqA3b968efv+spOiJfjHf/zHEoahvOIVr8gFDnvz5s2bN28nsiDLynKpPr6t3W7L/Py8nPYnvytR5qC5WOGB8bLDraJjGvPgQmZsZL2Fw8TBMXGnBC4kCARCrs17SehxdzECH+47l1nFg1wIfrENQBQBKVeMdhvYq3o0zl0j4mAmVgwARMUEE8A7Ic0FyB6sAJA0i1AoGhkvOAgCChb9PRRv0wYs4W498DYDDzI5A/NS3SQYFRmjmVCicMPgLAOtPuW0VfvZHXefItut/oB53oNT3OQBPklpzqAKkjsoVmSC+5QqAsnzg4zV41lXVltXmIWmbNzKcteLUPoTFiUeF9cFnn0C3hLHYYFnwH1SdY7cOsK5d63YVo6gUy153rYtIpFoiptgyB3Vfxhe0r5zWh7UE5UoYjAsi/UalJCQ7Ds14rYUoiLVBrTBzwLvA6ta4H3hNYA1wkcDE13zDE+Whg6hDYLkoFLBSiUx4DyGb/E9sA0SFXGEMU5pZN/bSnFd5EgxUfHZ4u+0ZA3m0ibpO1zp0Pug85PS90rtuMKyVIZ3mVVe8J2VELRZ2QglHQzk7nf9tmxubj4sP8FrCXrz5s2bt6mwqU4v0lwcyJgSxyUacZ2L7NcUIVmXDgR1p8iH/NhhMNt4tGh2VpbAICLxnPHehjuKtPaYCAmJ0r9nT9uyZZ0VTS/CdF8cbK5RGgX9MwzIY9KD5tEe3b7yBlQPUZkdbA9W6QAY42B6+VjHmNvx6w41HBa9H04RAm3AnIKF1s0EC3hWoLyLiHz3D0zZYFdxJ8ljGy5p/1UP8PiS86idGoMrsjtELttlHkytQUn0NGUCH/gGOge51An6rEJKTjeCPuVul8amP6MDpx1qrOoOI3owVlWC1B0gHJFTMtB+VVQdgJMRIqUGp5EYzKgGHlO+obxAa8AqaPC60LrH/WIaEq6vrvOX8gG+/slpJCbqVYTknVU1YSSnNQn1ZeM0IPbdjYouTEX7yZjQWNO0VGfdy2fTYZSoUTAlfoznQu9jrGk9xj1H7qm3DCTB48bccoqQQNOv0Gtrr6tTupBBSxNHstIECD8hxkheJ54jp/5Q6nqlNimU8fdfTdtlWn3ZvXj2MZXh+YwX6LtJ+1Khd2kQmCS6SFUkIhLq2ufULY0ZzKN7HwaNmqR9gpIexryH5c2bN2/epsL8D5Y3b968eZsKm2pIcNCriMQEJ1QQaU7xMSXxNoglmpDwKj4PcySJYpqCCTKilmTZzR3EKizCmUst3shQhXrg3G6gpIhJgwkT2yASistBqoG0RvEfCNfKCd0qhNcpHh4HQ65PD7LpUBiQ4YTKMD8cP4STboYYcZAMGFBE5Mz/+6ZCGauRWNMhTWbMgHY0u/aj45rBmSEihLMFdMgN5YMBq0BgXRAJADFMHKeHOcjBYMhiveVgo3hdyTD0uCctbYMO6xOkexgWn0FC/UO/xlgXHLODLL8tB6VAkLcsBmhC6yLSsTFJIUWMEInfYrQpwZQ2jQtjz1iXNJ4A2XMJfhuATECisqg5R1ZC/wElEYkkQT8ZYlUCw4jej0DHwe9MUEJSsDFhdN24oe88QcWDoJrvk2kQg3VlJTCmrZeyKovCwWlUFBtO8N4wAQZKFyVkLYabpSTmql+N8/0VRwQZ0XdIoLFR40ERDuf4M9w7pntBjEpo8dt4Lnp+PfSV4wK7kcjgkf8MeQ/Lmzdv3rxNhU21hxUcrUlYpx2b0iWb83QY3pst3FdfM7/wHdLPAxGDNzGJJj+MV+mgGDppvKvXxHJCxA7omPFhJ3Z07H1gN5RT2LAJGWnnCW8QO5uo6P3wTh5EiFFTika7Hut50q4stdRidx2IJVmddvCq08gpQqANyAoWoIkzwQKeFTwtEZF73qVKJyWOVqVlKn5y65gtO9jYUTI0JR+QpxGumDIWE8F8cyiAaCaYkMYNmv54ruihy5YjKWCME5LPDPQgPZecU1PV8O7fbtxLNNsSHMazIoeOIyXvsKIEoqhffKUnTUINtB4mHCV17SeVgQqfUYJNlPG6gOcS0vqFhz6hlBapKl2wGgwIOpETg5GJejhhSbofaRcToOL5DIWUbKBaU6bPSe+NpYsTQpB2i4Sjsb6H/Az4fbX3ogv85YDXi7MRYZ7LAAW8+7k51r7HZWUl6iRcb1D83PZ9s/h9gZAWEYcu8DsS2uS3rqx+TL9r5unZ6prnpLKJkpn4GdSPhZIMH7nf5D0sb968efM2FeZ/sLx58+bN21TYVEOCsjxwKRxEJGib4fTahMvERfWEsaKEfMhvYRuCy9IIEMRDi4GEJdH7AbJ/zjlZCRsBT20AJmSIAV48kwlsxmElEwQlYqgcYQ9Ijg/34dpHrCyAmDSKIUOYBEepW4iCICfMKQRIRVzEPkNONuqd5ht/WxhQRM54u1HEuPf3XuDqQyxI28B6/7rhFP1HHT0MJ4gBSOBki6DinQaXCDitAUgAG3TdrKZwYTFWpIwg8VL7LChtRxaB9ECQigqTThiaiqEWUWwjd2gPUVltIylZgjERIkZtEAOK1wmNe4wD75JYwKRFawp9IXgLWYBTIjXZ9BolJAFO74HMyaNZxsYUNueMw0oQQexRbjw2+7QrSjS7sMxRjF0jLlxnxYSJjGMhep53EEU4M7LG4CUchzUpgfVQVJJxmGPsxoCSc0cD+i/i9HLErKBwfaBzxrFP9hkwsUT7kksvApFajs/rFusLrFhtiaA0xSX2JwbbZSKPrackdQxnOu5Vq5L2S/DVE5j3sLx58+bN21TYVHtYSacqYYM8LN2VcnQ+lAxYSxB0cfa6Jko04ENhq39GlNCR/l1ljwgHz+PivSHvZLFbpVB47NITonbiUNaqPIhIBmpygL7TLqpk3wEiRjbjdkKJeqMBRZrjuoScUmiHTRquzKY2oJ0a5qqMbpvrC5orOWTmMnhWp//OP9myg7+vHpjuzuardEJfUp/18Ijyna6rAgqlS4n0WTHRoIxAgFQrCT1beKgJeU5xB3R+6pQ+IqbJjzW0oEynkT1kHG4nSGvCu+ZxkdQQqwIJH9ZbZnguFEHrJd03aARGTLAAEYG7OUSKECrUfkXdEq80pPr0vclpCWZYj/Q+4HN0jx03S/qgeQe5KHTvT2VDvYUS7cikyvRuKViipI9cwtcS8oYlYDzclh+pY8jjL9MwxDiRkiWk9rOydQ6NQiZQlWhB2hRJHJYxwWe0fvrFNY3vhqhEhzAhFAK09pA8b7wvAX1fJEr+yYj+XumENnXQIzHvYXnz5s2bt6kw/4PlzZs3b96mwqYaEgyaExcuL87tDzglgnqkDIHATc0dtiKIvxi2lVMvgLBkDlJRuG6SMtyhnzFeVpKd1QU4uSJAlgxZQMQWEem5bKVAb0qyvnKEu9iMra4o3sLBsysba3waky4EqhZ1xvwAg7EiB+4hIkS3CHGWQYcgWFgYUEQO/JYhYtz15z8kIiLdiVOXwHMOq0x+0H/T4lxwxtYsKqp02Ay5JUoXucN6jY3iuUCcVi5Vhd47ocGijRyMCkiQlUUA56HPvGRKBH6xHhkiskuLDtdTZKfOLcvimi5TbXBzQPAfDuZzKX8xZ0UyQw6Fg9AEk1ygVqN15OBCfc8A04qITFAJPR8LlRJsnsYgXRTVL7Lc3Go/GbZH3dyXuDg/D2n8naTBVlmtDD83/+RiG0tSjtjswjSepKxPmE9W0omL9SVpUS0HU8u9BMTI9yLOL5fKCP0itpC9h8XJa4GkjyLDlfewvHnz5s3bVNhUe1ivfc6X5WCwz/7///yXp4mISPW7xBY41bhdCalaWHUJOjxOVasuPEopFnQ3MTrTKWdk29N8iEi4aaYxOcUxO4KOqWe45cT87E6JdzHahclsyS6DdQ3XTH3JorbLzhwYzTzEBN5ccTc82knNNzT9Cu0eQ03lkaMU666IPbvRToTbB4Xr+CB1cpr2edPNLbQBoWAh4qjrvFuGZ3XWL98qIiJ3Xvs8+1llHZHzrnmrWLLq5v35531bRESWqk6HsKOSFA/2XMK4hZp5zqu9li2bqZj+LdXcvfd1lkRE5Nxd99iyG48cEBGRRuzWxf7ZdXP91qItO3POKHWs9F0bqbpCu+ouFc393QURETl9ds30reLWIPreih0B5V83TTLLuYor21K68SmNTarX9OXUpitbqPTMZ33XT9gMxTss19oiIjIk2YZY02E8OHDziPHwfO+uGhmRw8MFW9ZPzHpgr7ke5VNNRESrP7W+ISIiG2Mn3/JAz9R35uxRW/bgYN70g9xIoB/zND/rI/M9UY2c37enbsZ4uD9vyw7MHDd9IV9jS1MZTWjxhfrC1EjeYajyFzuq7tl+t7tLRPLzgzmtBEWvq63PcS523y8bY9N3PBNzXUPbdxDKXNzPfSYicmRoYKR9jXVbhmeP8Zu+mHnBfJrxmnncS2vqptUzRERkoe7WKNYtnrGIyH5tL6Xvi69vnCaT7lDuLYy63LyH5c2bN2/epsKm2sN6/eI98u3qd+3//8tes8s8UnG7vaecdqRwH85K1vpup7aou4NDi243IZoI7gf332+L2iOzu60S9/neDbM7eepO19bXHjjN1Nvq2bKtgdkpNWvkVaia+6nzbscyTEy7mwPHNV/fNIkL9y6ZHRAfgSDRWoV2imM9ZznWcQkPkQButu52ajW9J6Cd7OgUc+/RDTrQ0/p4PPMNs1vdGjpvZqZqxtYduV0zFNY5+SLKWBsQQcFMXcfuG57VU37tK/azu/7iB03f6Xxgx6LZyR475jyYX9htzsGeWjluyzZ153socc/71Mg8g68Pnde+KzbzvSN0u+Fb588QEZGXz95uy55SXxERkVbkdplPqZj1sLLDrcfTY7PLvHuyZMsGqRnjPurf4YmuKa2jTjvv4kmSyLdaxm1eCN3zSfSKXVR2/8SMd3fkdvxN3ZEfnrToXg14JTf7qRUzFwM+6tKF2CGhxpVEd/Cx263v0rPNo6m7eUPH3aOMoq2QwhaoHyIiZ2iG1PsnbtfeSc078uSKa+sB9SY2Uvd+t8K+/uvevbvHZs6WaC5O1b/vn7hn9nT1DgcEYYxLAJGBelvz9N2wqfOyRGV3t0y/9kbuufT03q5y8ReonyvJTK5vIiLfHZv1cXbVeUlr6s00ycNq6XvdIa8GY+PnU9ZGTW/5Z4Jk6oHxHp8Uu++rM+vPEBH3roiI/GD9ARFxz1hEZJ/GFkV0PviPM3ul10nkenlk5j0sb968efM2FeZ/sLx58+bN21RYkGWPglP4OLF2uy3z8/Py1n96sTwYOW25f/yXs0VEpH7IQQaD/cjWyLRb/Ycp36qMEB5xLqxVCCCdMpscku61CgF7HZyRbLp6YDbRIlPD1WUPSZECxA6mf2aIlMcwmLgBljMlX8tqJVpeqC+nviGFMhA82Cz9e57mAhpjRJu285ILGSjSsAHjVRqkAQdtwJLr4gfNZ5O9Ds486+LbRETk4JWOBm9JF0Txf/a53xGRPKkBh8EblH9loWogmnvaLm3JUt2UVSP3fI4oKeMHdjxgy247ZmDEkKDV/S1z8Hw/kS6e1DKwX2fiYLCtcU3bd3Di0YGB1U6b2RARkQaREdD3pYqDKUG6mK24+RnpQT7GJSKyqiSTxbora+lhPtoUEYkVwmrGDprapcSBPsE8sR7MrxDpIlb4kscDgsiRoYMdOzruCcGJ9ThPumA7vblWqOP40EBZ+5sOGgOpIC2RiGAovz0GvO+eLdYI6hUROa25UaiPiScwPBd+VhgbiC0ijuDABJDtfeV1BFic68X6WaRni/ZrNMaK/j2mOQbZZAcRiVb7c4WyGV0XTEDBePYSaee2o+b4Y77mxoN1203cWtmpJBMmpXxj41SZdIfypZ/6U9nc3JS5ObeOysx7WN68efPmbSpsqkkXs9EwtzuyngYVhargnguIU9p0RpqDEVSNOd8ZtOBqpMd3uKn3FgOR80HC+hntnOyun4ICcYKeDrlh7RMHfCL1PHZenJIcdPlKiedEng7Ul4OI6u2qN0Vt2QSB9aIX12i6HTdSprP6MjTjwoabMzs2np4yv74kWBVBwegTEyzgWR24/EZbduefGnJGSEHc2DUz3Zd39TDsYKPQjRueFe+GjwZmB1+hyO6RklLqsWuDKdkweC4xkSiwm45pZ5wLQpc8hR1ezSLt2m0/aOePNTNLXtIRbYvfG+z+hzQn6Dvv6ue0Dwl57U0lB7SIcj1W6nODiANLsdldd8mzhOcQ0lyARg9voUXz3tJMj8OKG+P6sJkbg4jIYfUWyrxNrm+k42Wva1aJAZ3QEZ52VrZ0XG5+NpXYweuopqEHvC4SDVCfpfnBXIFyLuLo7/A+hqlDOVJlttTIy4fx8+H1vb2sL+QV6/qeJYHVjq6RGeon6o75fdC54vUYlJC+cC97og19ttzPSphIwOKdD2Pew/LmzZs3b1Nh/gfLmzdv3rxNhU016WLfB98pQewOzWMlC0xmKQmZKj1UN4sHsKz7poHrUt1w10FTDykMREQGe407W3+QEv/VoX9G9Wkys2zG9SVaLyKwuC7eojQpJR6yTQyojSQ0xmirCG/B62atvHBUnAOrtNEg7b9OSWoAaOoR7FhpmwlkDTG0kRsDNMk4wWSxyzY1CAf7A4UBmWLHWS5W6fhdhhyRkjLGU37dxGndeY1TxChTGEECPJ4TwMZhSXJF1myD/uJ4yUEbsSaC5LQvSNuRU1SpF5NEWi1BflaagiLF2qIxliXqCztF1Q/MI0O7aJfbwhiDkvWR08xDH5jIo1B6wJA2xlN2L0PZWF9Jybos0cWzc0DXg/CEZJkiIiH0NhkOT0pg85J2sUY4KWs6h5eJX3CIPdLNNo0OtYEvBe4LnkGlpH8lyWJt8klOKVRyDBCUjQdJRmnew1GR/IV1UXYMwOQ0DI2vqx438038CqcJycQxJHWkeYzakaSDgdz722/3pAtv3rx58/bEsakmXfzSs2+SQ+Fe+///+J2zREQkIh25dIc5/BuRgEWmu2vekYSL5kBwWHH32h3iPncQiQkb0C4KXly8kzQHN/TQljdbIDMsEHUXu51T3CFmqLuxyZY7eLXpvEFX5ySVSonPiNae6M4mpMRxY2j/Mau+Udz1jOpKnOgSTR5/LriD9ME85MBpZ1ciQO0aoz9tumxS2da+cvJFaBxCG5AVLJBMjgkW8Kye8jqniDHzJaPdtn/GUZ9x+A+Kr4ijcH9300X2z6qW4I66o/s+sLUgIiLPXjpsy76xZtZhjUgXoPayXuHuhlFNaFO7fVVumK+59QNFFWiysUUlxInbVSVkhogG0LnbVXN0/tWBmT/WHFxSavR9vaKWIFPiQWtPaJ8L0kGbyBTHlB6/j+Yb9x4aLNgyUK1BL+e+gg7N5JRT6oZKvTZylHOM50mzTjHlmNLae6RRyPR8GGj8TMTYo8+HtR7PahmdQiYQdLTPeaJMkcIO3cOd9Azu6pj1yGEWo200eX62oNjniD86RlDuRRxRhfUfQWhhzUPoLy7XO7YM88hlIIXc0Vm2ZXgeZ8w6pON/HX6SiIgsNFz/njx3NNd3Eac/yKSU29b2eS1Bb968efP2xDP/g+XNmzdv3qbCppp08exffrekSw5aaT/LuMIveda/2LJ/vP/JIiLSPebIGYC/ojnnOid945JzMsC6xhyl33B44v4fuU9ERO765mm2bP6MDRER2XzAXbf7gHGZn7PzkC277YhRQ9jqO/hkfkZTWhxecP0DdEbqHE86c9Vc1zaue4vc79Ujpt2ADzhVkaO1QOK7HQNj5GK+dC5qC6TSoYK8vDDi2MxLmhAcdNTUlxEBxCaJzB3yKoFgl5tvwJeVNYYsx3ovEVAU9jvveSZFCIRsRUQ+dPhHRCQPrVx387NFROQHnnO3Lev+iIEnjr3WKWKAcJPUCBZWJJKEHFxSUEpEhySI1Y4r6+8uHsLj89G8a6O2hsNod51NOkmJCRGGE/UV2mUSCwRLCFkeLgaFMjuGCYm2zprrKtT3Slf7OVcSR1gUZcmZRYMZ7i2GA9l7edzjGX0PhyUECxXL5b6XhBlZslRGgqqBfqWVZOrIkYEmjZI2dIlmhNBZ3oRDW+14KVzKjo37mVSKY0Td3D8ggvZe+gxrNBqVxFmygbTEvBJdy7wu7Bro0prW9im8yo4bCRq5D/yMsb55jDYEj4lt1WK742YgyWgg//rh3/KkC2/evHnz9sSxqSZdVLqZDF2WBomUkMCHnrWK2Vp0S+iijYbb8XeVqstKCvWqubdDtG2rgkC021pFSQ+0tUFSOI5EX2qYfiVEcGho/wJWmhiZLXdM5IPFmrm3UzNbSlZRqKoeX0hjHA3N1m/nrCML4NMeRfGnShjhezNVwqjVXPszmhKlO3Tux1Zg6onqpGoxKnpnSAleI93AAcgmTMPWOQ3a5Gloingku+MUIWUKFqAlM8Hif6lntfNDzjtrv+r5IiIydmfCdhc6pu1rpaceDuWTGCypV7rpntm4aQbCu8zGeqplpDupO1TsvEXcLj1gT0P/rG5h20wehHp746arFx4T+ivi0sLzzhxj5F0ujD1G3MvPp6r3sEeC6ypdNxe9neo99+m9GRVDPyKoolB92IXH/TL3SAp9AvGG3QrUh7pMfXAZqT4t4n7C62FPEMsrN270gZ4LchXyfMM7igfFOWMPa1LLu0y1jnMFB/OqyLHlbhi1TAf5edv+sZAO1hkBaVls7s2vXy1rF+e9H9M629JQH1qrCUhaxGupbhXXCp5HlMvNEko4Kq7FE5n3sLx58+bN21SY/8Hy5s2bN29TYVMNCSbVIHfomWpcFWIfRET6gLAoOh/xV8Mhn6xqnQMiASjMw6771shAcqwK0BtVcvWKiIw1NmiN0ldsDuv5PolIrPAbx1Ahij6l+jY1bqevbSUxQRFKkpgQ3gKorzd2EzQem7ElOdKF+Wc4oJgvhQeHQ1eWZUWBX0umGJMyBEgXVAYYasTzrZ/zITjujSg1SKbioZ2JmbtNeuCIO2EBUihYsMgq4B3AgCIic399k4iIrP+yI2JUFdYCxCFC8BJBNjban2A9XJc7SIdgL48RoWslIststg1Ac/S8LbzERIcSlRALw5WpXzBZALAWcy6gTsLqBUWtXRk3i6oo9l5eZji4LxGBYOgO0Cv6x2QKQEmTenEumLBS6WnsUT0q3MtQrE0zxAQH/Zwhr7ElZ7jr8HkmDHkpNMbEDl03DN1ZaIxJCgrzDhZUmYfUdeyz4nDHOP8v972+TqLMs+YCQHQiBH03i/4Kr3PAvNwG1nw2Ziiy2L/qlunDcK4YyxkQeSWNylVvTmTew/LmzZs3b1Nh3xMP69ChQ/LWt75VPv/5z0uv15MnP/nJ8pGPfETOOeccERHJskx+53d+Rz784Q/LxsaGnH/++XLNNdfIWWed9ajaSSv5X2ckPkQCNxGRyVi9JPKIsBsc98mr6JipoA2dDJrm82qn6DkFRDnv98xuHhpzInlyAizRexPajQ7V6wn7tBscaP+IALKidHZ4OkPynJDuIaCDZ3hs3I/xSB/3oLhPyWWzsB5E8QB2TF5SAG+BaegDHMCW7LjJi4RWWzSk61SPL+7R7lI176AWcShxoQOcfNHWq+2yggV2jUywgGe1+OeOiNH5eeOBsecEWjCowCJupzhu8q6+eNA/mjVjBH1aRAQiBOz14J4cbVz/nkAwJXR1TBrQcCzS0Mu8rhwKgcdXktwwLKF8cz+HC3rdhOcHnpNbQLZfTN2HN8NtNEHFp4Gj3aBIOYcXxePGGJl6HWjoBWvb4VkxuQF9H5YwqdljA3U+kaDwObeBdZY4514y9Yy3avSOKAGCvWY8o0SXLTwtHtuAJhRt5cgh6jl195DOqfaPUQN4qDk6P1AQWr/wUPNzi76XfIfQOuvtjAtl6DPrlqaRSPooAqsecw9rfX1dzj//fKlUKvL5z39evvWtb8kf/uEfyuLior3mfe97n1x99dVy7bXXys033ywzMzNy4YUXymAweIiavXnz5s3b97M95h7We9/7Xtm3b5985CMfsWUHDhywf2dZJldddZW8/e1vl5e+9KUiIvKXf/mXsry8LJ/5zGfkla985WPdJW/evHnz9gSwx/wH6+/+7u/kwgsvlJ/92Z+VG264QU499VT59V//dfnVX/1VERE5ePCgrKysyAUXXGDvmZ+fl3PPPVduvPHG0h+s4XAow6E7qWu326bzvUwmBDHEGg+0p962ZVXNFjymdAqBQm4svIp4Hz4Unm2aNvt1BzHO14wXuEr1NevGnx5UXXxTU2O4FipO0HSmavAgQDoiIvOqWNGuO7FNe9BNkOBs3fQFECJiv0RExuPiqeVI46HqdN1AY8gSTrOhbUSk8IFWMyJYVKsaa0bzM4kQeEKwjc5jltBhqw43oNi1TNOViNPalGRWU1UQ5IQ0GAsqDHtqtGk/gzArx7p9U8fGYqeAOzjaHwQLwIAiIq2/MUSMISliIF4pB+FVigfpo5kihAZlBI47wT0MBwXARJiQoPUgtiWgibcED1a/AApHYwQxIMlBgiUSCSVwHTqTP4TPfaT3FONy8LxJg9WOMUdKqRSvc3UXr691lARQce8PYpNCIlWBbBL3CYrV/nFbI62bnw+gV46bAp7JEBrGGxJBCH3nNpJqcRyAfjmuCvAkng/HQ4F4VBY7x+obmGMmh+D4g/uO58zPG3PASDEg4ojmEUmSw6T4vBlurW+am0czYeG6ChFA0kqQi996OHvMIcG7777bnkf9/d//vbzuda+TN7zhDfIXf/EXIiKysrIiIiLLy8u5+5aXl+1n2+3KK6+U+fl5+9++ffse62578+bNm7fHuT3mHlaapnLOOefI7//+74uIyHOf+1z55je/Kddee61cfPHF/1t1Xn755XLZZZfZ/2+327Jv3z4Zzoe53d6kY7Zsd2+59BD9rnFXom5R225M6TuQCI53yJttc6hfo53IkS3jbVW2iNbeMaesFdqJrHfMvd+IT7Vlh48bwkBK25hxUiSFxNrXhDyx4xum3UQPlOuk0jFqK9WevCSkLen0nNcHcoZQQjZLLWbCBkgU5GF1kUSO6OpVTeA4LqFo884z0qPJIR08Y4y8G0QSuZxunl632jMe6NeHbrNyT9skcLTqI+KSL3KKEHisrGCBQ2gmWAxLFDE2f+H5Oh4aos7VuMH14UO6Tg/Q+WA81cP6gE6am0dN/0HSMPdgx402XR3YjY9J+69+DKQPISuhq+sjYA9iqPUw9RlebkSe3UTHwztiS0CZYU+sOD+p1ZGTgnG78FSxHJmI0tup7yjN50SfI+sgAsGob1C9OresQgGFi/zc5v8VERm3tE+0VstIF/Cixg6QseuGiQt1VUAZzhW9DzwrXgvwopjOjzlmkg8YY8xFAiktou8XvHM8bqwH7tOkifZpXeh6GLWK7zeUXURE+kuqdkIoBMbGBKb6eirB+KFyEuXtMfewTjnlFHn605+eK3va054m991nRGP37DF5e1ZXV3PXrK6u2s+2W61Wk7m5udx/3rx58+bt+8se8x+s888/X+64445c2Z133imnn366iBgCxp49e+T666+3n7fbbbn55pvlvPPOE2/evHnz5q3MHnNI8E1vepO84AUvkN///d+Xn/u5n5OvfOUr8qEPfUg+9KEPiYhIEARy6aWXyrve9S4566yz5MCBA/KOd7xD9u7dKy972cseVVu1diqUfFSkYtzPpZrDHZAipF8h3x1QV8iHf+bfjAgJ9VoxQ++uGVP3ZsPR9CMlb3BKAihY7G46VsFaz2Aqk4mDxhpKzugSiWNSkvGlpsQOKE1AmFdEpK9QYMTZe5UIUSHShVWaIJIE5oDvTRQrYNJFXEm0b+7WSROEBMbBtv0rRCKh+U6UdFEhoVvUk4+BMWUzmvl3V+wINUt1Q7qoRm6M92kdyBQsItKD4GuJUChDOoBZAAOKiMz/lSFisEoGDrKZaABokVUBHJTjynBYHZPgKmBChh3RL8BMfAiPmKKKmwo6cKdnNgTBw13n0na4MmhFxzmx2nxbIk6hgGNr+AB9e7t8qA/oilUYEOfDqVuCbfFhLIKLmL0cNKafb7/PjIHIRQ0VJ+b0K/qeRSVpSyrUriVicF9GgNAothDjyIrwG7OVEHdWKSHNjLWs2inCZDm1FWhw0xqMB6rwUXN+SFryDW/FfGneIUCbI4LYNU3kK/08qRbHzddBWJfbgHIQw9FBWp4G5kT2mP9g/fAP/7B8+tOflssvv1yuuOIKOXDggFx11VVy0UUX2Wve8pa3SLfblde+9rWysbEhL3zhC+ULX/iC1Ov1h6jZmzdv3rx9P9v3ROniJ3/yJ+Unf/InT/h5EARyxRVXyBVXXPF/1E4aBzlQM9Qty1LViZ41NUVGjzyYRK8LG5QWA95E1f3cwzsZUnqRmYrZZqZNd11TCRDdpgtxX2iY6+q0pQPVvUs7MJtepF6klbMntNg0fNJ19dKqsbs+Vg8rjJimrztapr+rxzhgZYpYU4nUKfUHPCzaPDsPjxkE+JDF8nRXRrs8HFaHzeJ8M3Ega5h6EtYS1OcBr3lH6LxneFbzlQFdbzq9o+6uO5qAgswenrZfomDBng48K2gPiogcf42BrpkQgEN/9lLgYbBKBQ7BJ06Iwx5qZyUAPXba7IUgyR7Xi10qqyxg257zBDHGksSI3H6lqx51zX1FYAef0PoFHZp311aPb0BkGOhjVoreB3vU2yn7TDkf6bNi4oQlUwyLzzY3P9bzL3rFuZABbZe9FEuQ4VQi8MyZBq59jWge4akykQjjzqlA2ASKRY/VejCEeNg0Nex1ga5OhB54njxnVumCOVpIV0JepPX8OXlpVKT9g4DBHij6Ffby3pRI/j2c1AJJ6Dk9nHktQW/evHnzNhXmf7C8efPmzdtU2FSnFxm1AhEWv90wfjrHYa1tGFZG1GHxSfMvnU/bOKyUDnS7FXOmViWI6oHOgoiIVNZdfd2Gua6y6X7/1zdNu4dqC7Zss2twoFyaDfshCfHqvwxNrW6YOKRU47BCwqPGmxqHxbCiCs1uxC4oY9zTNCg9Dpwyf/eZgNIlrEKtmxTjsGKkEmlT36Ee0C9CP6P1Kl2nkAGrIWifo5xQsSm7r2NSS986f4b97IjGZh0NXOALBIgf2Fpw41HoB5mCRdwaKFOw4MzRIFgABhQR2fFnJk7r2H9yZbiF42ICJaUkdDSbQJmA1pRN0cGHz1rfYBEyIcXPGFKCqgNDblatgtY0IJ3BPMXbaOwTw2qA2riN8SxiFV19o0kJhKXPezxTVGBh2BFzVUY2sbFzTVeHhb8YchsUIUlYfweJxeq8JBU+Q9A2OF5Mx8vxYhbu5WzOVawV6nutmEUbsBuvi0jFX3lubdyZXs9kl8imA+Hri+2PSua77NninSvLes0pWQAvs3IH4ESOKwNhw65V4czNrmy4ANJMPsbMQ4LevHnz5u0JZ1PtYc3fPZbuU932Nd5liAnPW7zHlt27bujn7SXafajSQ23J6fwNa6qIQaSLpYUtERHZrLg29s4aLvGxmSVbtrx7U0REVkld4fRd6yIi8oyFBwv9bg9cfdAX3GrR9kk9l3TReUxP33NERESOdI03UY+Jrr7DPEYmSYxCs2U6deeGLTvaMff2KrmTeRERqTVom6t/h+R1Qctwa+Du7alHFC45QbNUNQw5OVzY1aj33W6+R1u6hSa1kUw9xIRc37Runse5u+4REZGXz95uP7trh5H3qhB/+p6l3SIi8uylw7bsKx0TkA6qrYjzRMpShPCO21K0aW7hWe38oFPEQLoS9pKQSJDdisU7DWOiu9fNIzwMJkcgvUR9w9SRIxVUi94UymYPk5dtSSTu3t5OU9g8Sifux8w/rHEJXTg+rLdUZU75ERbvteNiujoIKPQaDhZU75ITDqrSQqAeTk6ZQpMCjjgpYAiChavXJbOkfupUMYkjsaQLd29Fads8Hnj81Y7rJ+aAr0NfmAgRlnigNtVKCZ0baV14TuCp8vq1YQJrRKqaNdexB5xt6hho/QzVu24cJRJUtcR30VuGC+wRmcLGGq3VeSAjrCJi+hr3XJ/r60UyTFINZHIylS68efPmzZu374X5Hyxv3rx58zYVNtWQ4MaZFUkX3P+PNwzU9g9HnmLL2kcMDBZvuKGGimANAxcMY8Vn6TD8qEJeMyR0e/uKgaHqRx0ssTpnOlElIsYDRw0UOZi4do+tG5LAhOKgjmusVfVBzgGhXSHo467GLtNnzZKckYCtTIr7DpBM7o8XbVnS14y+x1xbqSpJDNccIQIwHGMlvVoxqLu6psKjAcFbvXD7rVLRjM39GXddvG76Ut3kOCjTr5gzPOuB941HDoiIyFPqTtH/tmNGCHdEqUzwnL+xtteW9XcD/qPofIVqylKEMEkCsBuLq2JsgAFFXObirZ9zihg4hGbFh/WnmMoTgh1tvRzvEuNwW2Eevlz/5n7GNvSQVA5szBfHa5k2OqcRrKZtcfsgaqQEL/V3a8wTxeBgfnJlWh8rv1hIjmAjm4G2XiRWgKzA4450zeeULlRpYzTvymrrxRglxK71S7QJeK12dxfhLZAFomExhQmbnWfqs4X/6HLEJeYyTOOd1yxDLC6LOWZBacBqvV3M8NB/OObKZnWm9vU5D+fdO4/4QSZToE8M4+K9YVjPivkuEBlHv7sCUvWxah7bhJKT0SP3m7yH5c2bN2/epsKm2sMKU5GM9bjUW6mxOBj06XjjgI1FTHphemrLx39BBQkPqc0QGnS0PdIyeCsiedWJYhnt9KOi3pulhLKuoapkDEFNJ+2/DB4WJ8fTe2NKvZGpIkZSd42hLZvAko0IKKHey/qCtl5O4Ii/qboMCgEVvs78O8l5M/qsYt5Jmn8bsRl/K3LEDVD7mYCS6bOoURn6kkuTAGUIohvbnSQ9WjwXVrDAPXxoDs9q9hNOEWPyS0rESIoeSS6kAskAOfEetAHH+X7wdXy4Hpck94OXwn0vS9YITch8ChX9g7QW0U/nzYkkqgLDyQVH6iWElFwQ9bG6wvYx6pWmrdG2fojY7XWOoj1BmRTKmDbu7iHPBXNK0xOpB8Gag1atgggb6HNZ0suyRJzskcA743uxztMBPFb3GeaJyzDvPG58T+USM6rnG9O9mJdgVHwfIl4r6BMnn8R15FGDoBOUXJdT7sAUbF+qxaV7QvMeljdv3rx5mwrzP1jevHnz5m0qbKohwUonk4xyOULM9smto7bs3gVDOujRgSmixKstF8I9BpmBIKrWnIGfhjWHCS7PmdisQ62ZwnUdUqvY3TK4yZnzx21Zpu1uENljUa9b6dGjUHWFgMRil1smTQkyFFcJ8mpDzYJOcREPtdByENpW34yjz5lOFU4M666+QGG9mAR2KyoYzAKcg5apL5xx+EkaKwbCB6k67pjamLRASKAD9xZO2t2tgFn3z5q4tqdUjtjP9rfWREQkonHf1zCkmNNmNmzZWuc0EclnRAUhoSyza5YTphXtpyuDgkWFYkxAsAAMKCKy8JeGiMHpSmxqiS0pWB4SNP8irUhOQSMBpFTcb3JairzqhTHEmDFUk8vwvK0vE4J56kpmyKWMUDHkapfbVeJCDrqDlEMxRmk0U1RIsP1jeE0vy6lG6HyGmxQDpPBkRiq0mJcJYbEQfOW5cPFart3wWBGyteQDmuJxVqwPBJG47yY5sTFu7t4EXx1aH8fJDZYQh+XK+juKcwzYr0IpQjBGThuCWDzuJ/rUWKNjAB3j1l73jlY7gGwpDkvXPkO7NmaMlUCqxTaGc6FkJeldTmTew/LmzZs3b1NhU+1hDZYCSUkgIlWdO9YS7HeMyxT1Od2FHnxzxDy8moEr61XNvSSHJcc6qk3Yc1uHbreeq1dEpKPezHeDHbYMWoLjkZv24xuGdh9usSiijod0z9b6ZqD9rjkFH4TuNDwBTZ4PPbWs3XQuI3QIZVDS1oRPqJUIQppfidJTY8o6B73A8Zjq02cQsOagztWI6PfhQHejpDmI3W/cJcUFHdR9W8ZTXtnhXOr7txxlH4bwhAd77jpQnpmWDI+JKd/YrbNqAkghueh8TGlWrI8JFvCskARSROT4r55XaBde14TagG5dX3evTBEPdYxD0kasHy9SubH75zLQ+IdEA7c7fk5Dou0xzbkfFa8D/T2muYV6CNOXMS9MEoC3ldNzpL6a/3d/p1br0ZVVNYklhx2AeMMqJuE8tBFZZUE/I7o46mESCcbByhnRoEhhxzNlggzuHc0WQyrYfQSNHfM5IGUepKIJ6f3Bc2FiCZYjawpi3eRCB+r4l71d8++AVC2siglfZ3UNi947PyuoaeTIPY1ifVmQJ3U8nHkPy5s3b968TYX5Hyxv3rx58zYVNtWQYOv+JIdujTVu6KmtVVv23RkDDw6IBBD09cCS4ocsmWDWnRzOzxkFzt7QncKfurgpIiIHK63CdRurzieea5oT0Kcvur78a2ZEWLcidx1EZVc7FPCSFOGGpmYmHrZMvY2q6+cxhRU5Rgpe9tyMC8DY3NJx1DhIyvxTaXIovB7qU/t1zdw8JDhzMqPXcTwbYsjcrU69gOY7aSpWsEF7plihnBbHjpmyM+eMQuvp8br97EktQ2iJiTVwT92QLnY3Orbs2FrxoBhwBx98Ay5jdQeb7ZVhK4W1IGQr4hQschl1FeoDDCgisuPDhoiBTMYiDhKLhm7c4xlApsUDf/Q9dPwTawxJIp6NiRiAfGZW3JxBwDUPhRYVLCp9kD2ITLGWv14kf6hurxtnhbLeLtNg61BCZaqQoFWA6CEiEo1U/JaIMpacsunqRf8ax4txfxUihyCFCKcmmX1QSS5MWNFqap3iuCYlcCvf2ziW5to34yhUI9W2NtJB3BTHfBXjnGoqipwTDlbYMRfTWUQfbWqf5jG3qJJqcQ1gXvIxaUUyDMgUDPdCyBmCxSJuTedUP1Lx4rfevHnz5u2JZ1PtYU0aYe7QEZpU/ZQ0skDNTooHjJM+6QtqCoyUrhuMtHKOhMc2h1JvdJVgERLpojskj0ltrKSHICjuNoW8owCHwET53twmgsZ1gDASV2m3pa7ncOzGCOJEXmZBd800nomSKFIiTqC9YdeNC7ekveKWLu7wwa/uPPuURHOIHV1WKONDcEzLSt94tHdPXFqXzsTMe0xbT5A52iPnFVs6NO18rQIB7Xyxo+TDdauxRlR36E1yihBoA/LUgrrOBAt4VnN/7YgY7f9oyphwAEIAGAa5ecKSpiUBfbohhSxYtQiOMNBHNSYquaVeD9ib0XFTn3BdRq43iCrslYLizuQI67GxuoL+yR6TVfHQonwdSJBI5JRJ0QMOlLxSpd39cC7vuXEbXAbaf14rMMh9JuK8jrRElYU9HLumWEACc1bMk2qv5/GUrVWsgeE86WiWJLPEvJeFTIxaUaEs1xftH6dIwd+cPgh9ZV1OzEFCxC2kKWHFjmicScJQzsOY97C8efPmzdtUmP/B8ubNmzdvU2FTDQmmlW3ik4oftccOK0kAwxHpwsIMBMO5MledvZeaGCZx/nohwga5/WOF4lYHjpzRV5iQ1SLGcXHPECSI5yD1AG0QpIeIRW21n0lSAjWWGQ9I+8LZiqGSkVPOwFwQNIVYlLQkZQNDWID4csIMOLvls22QMrLidaniLQOCe7fGCsUy3qJ/9imuDFBKDoLR63IKEgoFNo+yIkYx9mhckrIBxtfBmHCAvgAGFBGZ+5iBB3svP7d4L1JRsLBxnP9XRKShSg/DXBqUrHBvCCFXzoSbYTzcTx13WLKmimhZ/iBd38mU5hYwFWdVtpmWWXEBYsw6tpyqhsJQZfDVCfuHohKIsexZuXwg3Hctopsz9Ivqw9gmdC9IHgx7xkquGUfFd98K01IcGI4aGNpFWznxZoyR4vnwLMoyH3MZ5iIfB1f8XivL8Iy/mdDCWYptexAMTvPtZiWEnBOZ97C8efPmzdtU2FR7WPEgy0VJIwXGQoVSUGCHGNPuUXcOrJ9nyRaUUqNWNZ8PKC0Gp+uwZeoJsXzebMNwPOvECa1VTH0jSmpW17JcqpNqsS8tpb8nqt2GukQcrTy3N9L0I3zdQAkoCXt12F2z51RLtMy1X60Vs85NGsbbCRqU3kO9s7Ra3CGiXhFHkMltmZAKhtOQqJbgrrphMOyrOG3Ghap5zkxrBw1+vubWwBH1FoKSHXWO/1JGAtDHxztKq3fH6UqSIv3ckns4tcQQKWtcGTyr5qdutmUbNjVJWqgXXh97eDj4zqcI0etoR5vZ64oH6XxYbw/NiagCTyi30wcphbxsHPSzJwRyRpk2IJMJil4Ce2RFrwL9zIcsKAGmzg9NCn2y46UXx6b2KdnKx/0y147JXFmhDGEO3C4o5KWeqj7nnL5jUkKAqRU9VoyHvVKEmZR56DweRziShzSss1xqFAU9xrP8vYJ26btzUHz/kmrgSRfevHnz5u2JZ/4Hy5s3b968TYVNNSQ4nAsko4P0tGv+556ui9XpbenBfI9+m5E1mMQkIZqaERbQ7yvkRZ7sStuQKKIRxWtpbBInGe70TLtHSBGjNzDXTUYOA9nCTazEMdS+EBzTGZj6Bv1ifBfioFKCPRF3NqA4LKuEQbFmQc/0ZRQTSaFr7knqxbwTKR08g3Qx4XitAQ7GOa5MmyVZkrBfAosAnqS5RXP3dxdEROTwZNF+dnRgFD4mKUF4OnftEYn+YmhMDChRACjLDpsUp9vew0KhZTFcFjqk+BTEP5XVu1GSmqTz84ackYsDKyGMIJ0Dw2v2cirDdRxHM7GxR8V7OdbLzgshOGXCuU4stlgfX2fTuZTUZ2PN6B2AYG+O4KHCygnND2BKCMrm6iuBE5vHHjptB8bLc1amgAIomckMNnaLSVqAmUvi1MApmgzowyI6aueYx2MvzylJFKFYQMq9nXHhHoZWcV3iMilJZQuwbKHZbSK5uM7N2WBBYUyH1kuYZDnC18OZ97C8efPmzdtU2FR7WNVOJiPnwEioOoBPmj1my+5tmR351hYNVQ/3azNuSzlUjyAgvbtZ1eHrVFwOk90tc/h/sOHSV8zOmy3DVtt5KTs1MePe2U1bNlLlCqQeERFZbJp723W3jYHDEBKZYY8mcFzR/2ctweGsaTcgkkSqbc3VncBXmoL+zlHqZryNJs2FeqCVqmu/WTefjyZuHvs1Tb9Cnphl+JPXlahyBusVjpWIkZCaR6D1JDXqX8OM6fRZI1r3VErgyEkaYffW9+SuFxE50t8vIvkkdvCImCwAyndOi01vyenxacqP+oYrmzTNOHJJ7DT5IlKEiLjdP2+vLXU9cfXBs2r9jaG8d1/hKO/Y3ZcRQXKqLKMirR0eHmvQSVCyb9V6WHWExwuzpAI66MeuP3e9VsMeid3N06G7004s9h1eAO/k4UFUO3RdSXhHGaUaHhMTYNA+eynwBEtJNhzaoNWwh2W97L4rs558CSUeXhqvt7JEk5h3ppI7fcyiR8/JH5FklevDXHB9SAg5COgd1Vuax4v6j0zkge4k62MmmtiTFTFGrTCHaDyceQ/Lmzdv3rxNhU21hxWNsjyNWD2DHZBhFqeGvlUhIBbJGkti5OKaqxCUcM5mvqth/u9uUjyvKV18i37+K+rt7Ky6vqzExisbxm7aEQAcUmJECzvTFqwSmc+r2laj4rZ28Kzy6vO6A6StYlCiwg6PMqIDuFp9nLt++9+2DaXdc3ApKPbsYeHMMORDPqWu83mV3RgTrR3PBaEKddpyNzRkoBU7cbKsWvQCLEU4FwyKAMhioC3vfOEl5Xbt+jmfc+Ae9s7gaeSSL1qtvOIunNcyzqzgWc38f47yDho8q2hbL4HPSkqCdW1c7Lbgze2GXXpG2UvRTz43qXbUK6azijJPDO3V2m6dd/eagxD2fEfQONQmeMdv6dikRVemBwjvI+dBqCJ9dYto1jruMno3jxFne42jDoVIasZb4ESLaC9/b0mZeiIxeR/QOkQd7KXVNsycZRR2UOmlheucxiSdbaonXXa2yXOL1zug+mzwOHls8BQxnyKUPYCp7kBaguJcsCfmA4e9efPmzdsT0vwPljdv3rx5mwqbakgwjQNJHH/BwlZj8n9ZVWK75eiUei9TzpO0+Hs+UI26gPJIWHSlyALPWRmsBsguY6E9rTuoEcSXAcYsgW+QIiSnqRfk7jvRvfZyum6idH9WvwByxnMWKOzHiSMdFkBFOqUJPwul8ZdBFQEd9EP1oqPsCAab+ol5FjGH3eu9UYm+IMN6gF4mBG0AXmH4BrqBDEOV0crdgTsV4WCeafqAsKjLVhsw4nnU+rQO1hmEIsbWz7oywFYM1UR6bzRwsxYpdMjElrLUHziE59QogO4YfkPSwJjaQMoLJg6E0NmbdQ/c6tdVirAR4Kpc4kOFjkZEkrDKFCVqFTyfNYUuQ4I/Jw1VZaH2AW0yTAiNy+GiI1UB1uIxYi0BwhMRGS5ExfrC4juCcYNgQQirS+ZJECeULqo5CM/8W2GItVUkU+DVYOgQzyBmDUMlm0yWiqQUhnHHzWLiSEteIeh5UlfSRZeUcSLJv9QPY97D8ubNmzdvU2FT7WEl1WCbgJ75NZ+Pe7ZoRunfG6QbCG+mSrRt7P6Zyl1VogP7JYs1U3fWcLuoVs1sb9cabqswWzXbk4WK60stMnWz11PRk8qoyrRT3cnS2JqxaaMSGU9jpuIOgEGYYBV46ACCrCHipiqM2BXUQEmixDfqurulq2K9J44oMaMSHGIiU6QIyqbgZJtgkoglWcs8l7Tv9kyxag1OKLkgOg1iBe+wlpRcs0hzDMJGlVwdUI858BP18i4TXs+YFM8rbe0vkTMQiJzbmSs9Pou4PtPekHaoSGvPAblWmZxJFCBsgKpMn8Gzmv2kI2Ic+08adEwPDWMbN91rPtKx1TaY9JHf3YuQp8hBvdqnMq+UEwliPEw/B3mDPbbRLIKOha7DvcWEizZYN2aPyPzLZApuFwYvgL0UBBYnVaJt24BlIhXoM2XCiA0ApzWAuZrUKVgfzhSRV+D5BU2aH6sPWTKfFXjFRQ8r90aADEQ6njZRJ32ZjJvFe/EssogIYZZ445pAglAm8kw0iJmzIYRAX5jrZjUHCQGbDSQZFZ/Xicx7WN68efPmbSrM/2B58+bNm7epsMccEkySRH73d39X/uqv/kpWVlZk79698su//Mvy9re/XQJ1S7Msk9/5nd+RD3/4w7KxsSHnn3++XHPNNXLWWWc9urbq+cPWcc/4nLdsnGHLVtaNFEa25tgZgBk6qfNXg75xUyeRE8k6ogoNfH5/+9qyiIhE627qHmgsmLJN5+oePLbD9IlC+6FDOBy6e1dCUzZpu3ZD1eNLmg6CuHvd1IckkL2hu77XNvhSwNCc6gseIwUNtIt5Mg2bCewGbn6SvrkuoJQng5r6+wxn6njHVcICFApg7UZoDg5mXLuBqoJUegQR6RzENI9J3Uz+v26eIiIi32rttJ+hjC3smHtv39hjy4aLqgrQKcY+laV4qB8rwmUMTcX9YqwOUGg+tIbVjxfLAiJnIPkiq0BA88/GPhHRAAQLCwOKyM4PGu3BtVe7smq3COnYOB+Kfenv0IP5XnF+xgRboQ9cH+agTIOOIdMyRQwgufl4qXzsGMcZWe1GVohQXTqGCQHr5VUytD5Cwys6PzxuQF4MMfYV0h0QTGfnkcZjY/tK4jsZpkR7PLaRwmoTheYax0viCen6pCRtiYNTi2k+mC3FCHqxT64MzzaXJmYEWNaVxSXzCHgwR85QkgvPT6WbSTgqvh8nssfcw3rve98r11xzjfzJn/yJ3H777fLe975X3ve+98n73/9+e8373vc+ufrqq+Xaa6+Vm2++WWZmZuTCCy+UwWDwEDV78+bNm7fvZ3vMPax/+qd/kpe+9KXykpe8REREzjjjDPnrv/5r+cpXviIixru66qqr5O1vf7u89KUvFRGRv/zLv5Tl5WX5zGc+I6985SsfcVvhmCjlIjZ9O6s7TIYlQ9SPcwkF7R+0k7WqDe7W3qiibdM2QQkLzEyvK9kjou0JSBEp0eWt0jizsEEnrxARQuvrbBkJhCGNMbNp7ouJGaux2zJZz47V2tUjSgak3Az1C2o/tkQQ2o2qOjx7Yhno6nRADEXtkK5Lte6oT88HVG5OVqi3zFXMZmYhdNvD2Yo5rR/Rdg/U3pmKO8kHmaHMg+DdOq5jJWokn+TwCXgLs4eZvFLc+4HyzN4RPAzs5M3fOHB391o6N7rMSEKjuGbgWS195EZb1v6PRo+QvQ9bf+m4ySPSKWV1BY0iyNOrG8W6bR0lIQsxj9F6BOzFaZ8SfFYkguSej84nSAMizjvhOYbHlCPKwEshAgyMPUsolTAlHq8B+wboO3vPUF9nYgnqDpiYpF3Fs2JKPuaHvT54MPzdhPGUeTo50gXU+eleIAlJhcvy7Yuw7iXR30FWomdQ7SBEhEhVWDccvREGJ1dL8AUveIFcf/31cuedd4qIyD//8z/Ll7/8ZXnxi18sIiIHDx6UlZUVueCCC+w98/Pzcu6558qNN95YWudwOJR2u537z5s3b968fX/ZY+5hve1tb5N2uy1nn322RFEkSZLIu9/9brnoootERGRlxeiNLy8v5+5bXl62n223K6+8Un7v937vse6qN2/evHmbInvMf7A+8YlPyEc/+lH52Mc+Js94xjPk61//ulx66aWyd+9eufjii/+36rz88svlsssus//fbrdl37595nC1RK0ipMJQoaecQgMOsilpok2gWHb+R/jJjMZc9QnuCJB4MKd+Yf6uRw4fQLzSmGKe4hDiqhy9rxAfCciONQ0HYpkqsYOjBlpvQMoUqapVTCh9h4UiGU7U+cnBenpvQu2H0Ymd8ZxKhw4jp1aBqc0ldXyI+nKQgfl3a2LwloRjRxS3yql5AMYokdBgaKws9YaLLQkesgyLhJsA/MWH+oCfcuOJQVJwZU50twiNuENu6rvCMRxDBoIFYEARkbmPmdQkrJKRlUw7ICqGkgAPcmyNnQsOPdLxMowblSiqAPZh4oCtI1eE2Kzi88G7mRNUhYAtzQ/mqkIpPdAGw5lWtJUIKPbeXrGM261smQGPKWYQxwQsJjwJiuPGmCBgK+JgXsCK/BnixLjvgHFz4t8lc4s5Y6UNC9Ox0gbSr+SgPvM3Q31O4JfuBUGGIEbMKT9bCBtHRMSIRCQr6/cJ7DH/wXrzm98sb3vb2+xZ1LOe9Sy599575corr5SLL75Y9uwx7K3V1VU55RTH8lpdXZUf+IEfKK2zVqtJrVYr/cybN2/evH1/2GP+g9Xr9SQM89u4KIok1dPzAwcOyJ49e+T666+3P1Dtdltuvvlmed3rXveo2oqGmXD+tFjVIk5tbNiyudndIiKyvuW2ioF6UzGRLibwcChFB4gTXUp3saNhDv1XSdWi1TDb5U7N5eluqie2q+6Sk6w1TCJIVpWY1evWKQkiPJyAyubrhnSQqJfSqLit1WCoRBDysIa6redEj9BG7JFeIggjtQZdNyl6YkjgOBi5eRxrRD17dqJ9zshjTHWvwSSOiaZnmdDhtiiJIyXCBjzAUxqbIiKyi0gXC1Xz92zs3JV/re8z19XcvB/SHRxTr+EdsQdhD5ypSzalBe2a4dnwzhzkA07UZ68n0gWIGGXJF8O02D+bAJBTyw+Q5p7IJtsO7UWcZwXtQRHngbHeXQUJFympo02b4bLj2F0/H5JjPGmJh8MeQTRMCtfBi6u2S7jZ6pk0jtC6bCDMpCS1xaToOeVSjiiJoUKah3jcTKsOJ5q2g5MR6rjLpDjZw2loUkMmdpSlHKm2kfKjeF2BbCMilT5CHKhP0PQj9Q3oQ3L78PjzxB/zLyd1xL2VjhvQaN6sLyaMYJ553IP5MNcnEfcMKqS1GDWDwr0yeXTpRR7zH6yf+qmfkne/+92yf/9+ecYzniFf+9rX5I/+6I/kV37lV0REJAgCufTSS+Vd73qXnHXWWXLgwAF5xzveIXv37pWXvexlj3V3vHnz5s3bE8Qe8x+s97///fKOd7xDfv3Xf12OHDkie/fulf/0n/6TvPOd77TXvOUtb5Futyuvfe1rZWNjQ174whfKF77wBanXS/il3rx58+bNm3wPfrBarZZcddVVctVVV53wmiAI5IorrpArrrji/6it4WJg4xxERMYaS3Swu8OWIW4p7JLAJWJr+OAfMBgdhvcGVLna6pZRpgiHzsXuds0PLR86dvqm7P7ugi1b72kM1YDgSeAMTHAYqmsfu7KNvrm3o20NSEgW487FNygrpEuKGCOFAhmuE22LvH7JBgq9EGQKQQomr6CfCacXUZUOTqmBw+gJjTHq6gEsXTfWfkX9okLC/d1F8+9k3n622jMZnI8QVgOVkNVBy9U7W4xzsiko6A2wh+uEmAL+SnMEC1PW20lrCnBNLl6qeIAPtYZcFmJdc1mJ0gUO9Zm4gRQho7kipMQGWKaMiLF+sVPEGEO8NOJ5z39myk6cqqdCMUIgcfC9EALmdByY2+F8MdUJxtPb494VwK4Mp9Y2iv0EhMXPFs+e3ynAZJwhub9YhLfGJbFmVWQmzqUmkcK9iA9jeBLiuDWCQvtLIF0U1yrmhJ8PYvdYaPehjGE9tNFddve6uLdK4bqJO+mw7yvHqWFsHAsHNY3BolszNi4u49QtQZ789jDmtQS9efPmzdtU2FSnF6ltZjIi+XooKewmokOtrsSJGunY6a4oJBJAgh1q3e2OajVzL513y0LDiJet0WazoaSLAenx1Srm3oVa35Ydr5jOJkQDr4KeTn2xfxEBpKaKFXUdT5PIFIO+GRuTLrA7Ag1fRGSiKVQmTGHXPUu17uobaz0RaRNiLkYjt2SSSonSBbwUcsWyYcl8N1XpgrQEBalJ6BnAYzm1aUgXuyP3bBfrZhvHqUTuVCIIlDFEnIZghXT+LNkiK+6ec/ThCf4lL0k9guZR54F2TlOvlGjtqGc4T2ERK+aCHB0aB9lj9lLM5yBC8IE7Dsg5RQjuLRlOjmABz2rxL1yQ/uZFxgOrUpI/m4qF+TSbRcIIKM2shlDt6Gej4nNk2jR27rV1Si7YguetdHWmfs/mvRCut1Ki4Zh/3iB4FFOEcJ/gbeVIHIG+IzQ/IGrwc6wqQYW9rsZakagSjYpl8LbQz3hIZIURvDQm5ej6WCuOJxd2kOJfpvjr+ll3781kRqnzJfPN4TpYZ7VNInip58SeKsZWP+6+VyL97mD9xaQaijwK0oX3sLx58+bN21SY/8Hy5s2bN29TYVMNCW6XpVfPXZarTmtwtm5OG7tVd3KYKW5SIeJCWtPMu5T5t6ZwHUOCyDic5uKwDPzUbTp8ck7bPbW+YctWa4YIwIK9dYX6gpjcfSkqV+xsGLwB4rt1ErWF+gUL00JoN6aYL/s5QwYRlAII7tATX64PcwFYUUQk03tDgi7TalFZJNUYlFxmYs3YnNQJW0UcVoPhGPM3Mjc3Cf5rxcWszujTUtWVlcFFZaoSmJfhXPHwmGNHkGFVjlF9CoVOmqwUYP5lCAvZenNZca1SSjGuC4s6p55QL0JESBHCh/VWwYJigEBOAAwoIjL/0ZsKZZiLnDIEiDcEZYFowHFGNvNtidAtzzsgQYbVQDwBOaVaqk7CpAYdN6f5QHoTjg2L0A9KXWPVPGidKwQ72MHMGymYzThMzzaz4rzULlKd8PsQF+HWzPavjMyh6yOnhqP9mC36HDnyjBUTdmUjS0IqmYsSRRt+Zlbgl0kkzfxaFXHv3GCHI3FY4hIR2ya1QJKyd/EE5j0sb968efM2FTbVHtakEeaUClI9HDw8dNTnETwColRD6WJYcUSMrKeEhIHbdfSUaMCHjr2JuYe18ja7ZqsIqraIyLEt420dnZ21Zd2RuXc4dp3uR0hhQv1TujjTzw9vGQo3NAV7VIfV6KPtR6oU9vbAEUEmSt3PmEaqf45ptzXRv1n7D0SRMZEuQF1PuswfVsLGVjGMYNynh6X3xES6SHDgvkXUYyVg3N83tPbDE0dXPzowczskznmgfbqvt2jLQP+uUgJHeAGs/QfCBKdxgHJFKdGgQc8sKeqpbb+e68nrwqlnmfMmivW4z8z1oxbtaHtFRQWUsYIFdt9MIIBnBU9LRGTr50zZhDwI6zHSY6yrLlwWsUei42FBFZtUkcatY6xQX4bqWUHZY2bF8bH7u8z7k6P4j4rPB7t/Th4IT4yVSEBGyXmMms4k55Xrx+y5YDwpeRr1Y+bhD3a6CUIbfQqBaN1vxjTY4b5/MFdpyTcynhWnWrHrLafwoYQnisaxZZzAUccWD0qIHVTfcCEqtAF1jNEcJbPUdcY0fXieVSL8gEbP71zj2EQmY5a+eGjzHpY3b968eZsK8z9Y3rx58+ZtKmyqIcE0zmf3hFVyOQnU+FxPD+YDIgFAeiAjIgbimiZEiIi17ozKcB0rFSDrcVqSz4EJCVYIl1N+gMRAkByuA2GEBXQB18Xka4OwEeUyE594f8IxXO6GE16e/5zn9iG2QFkRZckJ3eK5pNViGSzh1B863rJ0FmX9ZMjNZrvNqRjoupgUoblK180t4CWGyyCIm8vkO0G7rgyEibwQb1C4bnvf+XrESDERpEy5A/CgFbIVUrBoMoZm/gEMKCIy+wkDD7ZfRUQMQH2kFjGcV9iIky+jWnosljjAkKm2O6G+4IAf7xJgQBGXgoNhxTQuzifGmJ8L/TdHgFGi1ZDvLRIAEhsbxcyJLPeZiCMY8LoQnR9ee/2dCm2y0E4Dz/Qh1jJ9hGc/IsJKrn/bjMfoFCwIerfPh+K1SmK48KxyxJKiIJC7ntqwgs5EkBm3InsE8UjMe1jevHnz5m0qbKo9rCzKa7LB5mKnLmGp1CXqDjk6dkkiwzKrIiEjbaKgatFjeqym/2hExVP4Mm8mR2vHjoY8rIp6VJXIbGVD2r5GSjlnZYqxfs5U8gBeGW+utS9MYa9UTd9TUuQA7X0yKe5keSsNrzXnWIL+TnObqk5htsWdKdLuYTPq6kS0zWxqWhGeY3i+C0RrPwTvg/UAdVfIXjF2nlHG3ozuRmtuoWHcuV09DuRptzlBMknSXYuUbMG78Cgs7tYT1YGGDmNGKXsc5d21hX5mTOXG86EUIVZzj5ZgXNIneFZzf+2IGFDJyDm0CAVokdIFFB94vrVfIb2vI72HiRB4HhgPa01iPPR623niZJbOy2Xyjimk6py+YC7NR17DUYRSt5AXiSSIuUSGqI9T1mRBoQx159ajfl5VIZfRbNFz4lAIS+On8eBzfo74frRJG8XNRZ0URjAH/N7Ci4qdaAyhFSXtElpRpn+IZ8tjC1LxtHZv3rx58/bEM/+D5c2bN2/epsKmGhKstlPp73T/X58xENFixWEgVYXQAhJehdtbrVLWXo1xiIl0Ma8KFqsVF9c1g+y2VN+MCtGuEay3WDe4xS4ogYrI7hnj7x8LnCKGzWBcnbNl8PajqmtjzwzUO8x1C3WHi3Q01orJB5Oq8b8h1isiMlGIr8vMAL2nTmK6o4nGS9D8QEQ3JLJHp2rwkMqMuzfVupNZIoBo3Fedshr3NSaMSRchYMIhqWnoHCzXzPifWnEqJrsUP5ljzEKvx2c0RKlSbE2miOFwwd2KZcPpFAINA+KYFagLIAWIiEh/d1GRor5u/u4TLILUEzmlC0EbxZgaCIoyjwjxRXzwDTiTY6QAJVVI0BQpQurUdyyHHHFCYVFOQwLBXGQyNtfpvXRYb9N2rHGQm/mHY4kg3huUwJOACXneoTqSIxro8q6RqC0+5zkDmYH71N8RF9qIdBwhxxQpVBvRGBGPlFPT0Ou4XRAM6CvJfcbQqv4NuKxBsXOA8xjCA7TLqWsAMXL8Gcg1nF14NKtCt4PidbxWoCTU2+1+JgCDN2ge01jjNimezYoIM4lDv3gbxyiz9WIkWcIT8dDmPSxv3rx58zYVNtUeVhbld6lQcticNG0ZtPcyIhDI5MSHfMnEXdcfm+nhlBFQVwhIEWOE02XaKEx0N7FBfemOjUfSH7ltcDs2p8YJeRUyLCZQhOcyUO9nre/qHWs/WVoRVPcJUdlxAMxjBE2+R0QQnIEyEWM0KVJPbSJMnlvcwrtMTS+ScqJH7QOHJYDkEfDJuO6phnrKy3kK+8qc4PGg3qRkL1ZGGWYVE+stkMoEDsOTjA+Pg0J9IFPEjuthD8bZ68KOO6dlqB/niCrblih7U9jB5yjDJQoaqIN3vtuv58/ZOwN1nb0AeFbNT91syzqvNOQMngsctI9axQSX7JHgnpzDv43zlNMoLLkG4xhSW/CEcqofUIugObMKFkR2cWoexRAILgtSkBT4OvWwWNcQtPtxcX7yg9I2SijiI/Wmmsd44EUaulW1KHnePO8gu7C+oK2DSRL668CEEcxP1OcHVfz+s7qTjC4owpFbe5FIVhIScSLzHpY3b968eZsK8z9Y3rx58+ZtKmyqIcEgybYdXOpBJGF4DSUTrJec6zFEBaHZsEYHsIDJyHNeqpnT06y6DbsQBxOIOJHamPoS2tgoIiRoGRMskrQI3Q0YrxGRRqUY38VxWBOob5SkoA14m6KH6zUiWIwV/uN7MRcDEs5FzBMjEHaacziP/pND+oqqElZsl+LZMiW3IE0KoymY2yZjeIgXoyAXdIVhEcT55KA2wHWEflZUCJchndGkCG0AVuJsyWOFYzlGKFyTQn02lQfFI4G4YDPldoqH5gzDYRwcC2PFfDvFtZpTPlAYqk6H9VCwyEGTegtgQBGR1sdNnFbn512ZJU5Q1txwiLl1FSJL8/w9bu1BJBbwW+uQ+wwQI8OeSJXBZAGIAvN1Q80SzcLG9h4mfaiiSbJIIs86zzyPgBbHFGPXutcwdDqnO8FpCA8PFtyiqqsgLMOTWJvIUMxrdWbFzAELztpM2CP63lCiFa9pXMdkF8xLbc3N7VDHGzERQ8krTSJJAG4cLLn5wfuSgz31+VW2aN3Og5yRF20OfMZhb968efP2RLOp9rDSSpDbyOPw//jY0ca3kF6DPIMgKSEBwKsh8sMApAvaoK72DK086Lv6bBt0eNjX9B9rI9cXECYGRLqoqFeU9Dh0HFtu2vEm5vOh9mlT6vYzpAYJyXVCehFOQwJyRsLpRXQuuoGrD0IPTPHvB0peoQkPdQ7SGfKSQBih9Cs2vQilJpEhEu+5ItF7OE1Lov17cGDmvUOe04qWIZGjiEig7bcnbpcLL4HTWGANsJsEGvh4ht0KY7zjhfEOGaQLTkuBtBDxkFQqShQAgBJM3COwHhC8PlYqAB3ZekGSV92AOS1DOvjeKtLqsSPnFCF4LqxggQN+9uzgWbX+xilibPwiqPA0P0ASyOuqK62dxwFDCMJ4lnQQdRyssoBxM3ECaS6Y/s6UcBgo5JxqBV5Mno5t/mVP2Xoi9M71TjFrLpfWRL1CRoJAIWcPEGMbzqlXc5QQD62DvUhcN5khYgvCYVinUrsccdoQ9cSG5EWifSZsYP2UeYf0yskY5Ct6BuhrQp4dXjVeP+NmKEkJSeRE5j0sb968efM2FeZ/sLx58+bN21TYdEOCcVAaLS4PXSShxgUlLGuPjL8Ew41L4rBmKsYXZoKFrZdgsElS3Asg/orFb1PLCHDXWbiq4+C8ztDADclDpAjJpShRNx2wpghBcpTdWKDOQffCQ5+MiLgA0cukCN+wMoVN3TJmKEnrSxgGU5LLsAjLZpxSZFualpXEZXBGqpdxLrDD/HNs4K5DrFePsr7a2BoWTdUyhvUAEzLcEZaktAGkMmpRmapK8ME8DtWrOXjS/MswHWBJwHVQDhBxEBpDY2WxPYDhysgmJMDiiBVZ8W2pkkKDJYLkxGLNPQ4GFFn4f40ixtbPOkUMwG8VelTDeR0bMaIsPKnXRQQ92VizYRFKy82dEk9mjrgHtbXHTFaNsk5X+kWCQ1m8GOpmCA9zy7Aj4u5GBNNFJdmkbWqQ2SIxCXAZQ6GAhTklDMgcZbAwC/e61CD87hXJZCDIMLSKtcJqGrAhZbvGd1edsgsDsuR1nujDDwgmjMaZZJ504c2bN2/enmg21R5WrZ1IQlqCkZIEFitObqCuaT46pPOXzOhhOKcXAc2aNAJbTaNRtxm53Tq0CVOivyO9SJ8cDegQQgNPRORQY15ERLaGjhCwpFqCx2pOSxD07qDhdiytGm01ZZuWYM+c1scxKWOoJ7Zjplco67Gno+NuNl39g77hOcdEtZ/VudjqEdkDOoDklaK+jJIwTpSmzulcEtDPaTcIfUamvaKeJd3q74vdfC5UzRw0iNYOqv2+mXVbdkRON9UTbdxyN6h5JGscl1DDc7prM0haSB6tvkkhPaboIUgcTBZK1avIadDZXWuRLAB6NXsV2BmnRQc45xmgL3wwb9Ni0L2WaEBl0OFjBQtHXScSknpWs590ihiDn3xerp8ilMyRPLtaO++RMDUe6iCchBHGlHPcy0QVPNsyzUNWpsDzDgmbgVRllEtuqNR9Whc2Ow4hMlgj4aQ4jrLnDY8tHNP1iDAgRwTPICpJuMi6gfC2eA1g3eTCImz4BI1Hv4dypBhduOw5DRZMG5w2BJ/zfGMueM4m9TBPfnsY8x6WN2/evHmbCvM/WN68efPmbSpsqiFBkXzGYWTF3U0pKAClHa+7A1gI4TIM1lFViUqNUmpUDY6wTiIT8xWF4ggum6ubetbqFGMSG7yDU1/sqBtYa0w4C7LmhlWC8xCzQvAk7t1+n4hIVWFPVtAYamrXWuTGA+hyVC3iRjWCE4PGqPB5S9OLcN9HsYE2K/UiC2HMbSgBpFpz6hwDLUvpurCucCvHieGZKktgF8VstHRul2Kam4dIL5LLEIwMvXzujQN3Ttuhf5cJhTL0Y8U+6TJALgw5ASLJwXklAqmukXzfREg1gqBThtpsn3SuoiE9W5CBAr5O681l1EXMU5EYUNYXTm0DaAgwoIhI/XNfMWU/5coAYXG7OOh3Sg6snoAxuOuh4MAxdlD74JiiqCSGDPBoTMsXY2NFDqiMcAzZpFGMr4p7ReICnneaU5/Qm0isBtAd4pcYSsN1CYUWpgpnhiVix/n0JvoHXQbSTEjklXGjCEWCNJQTeUa/uD4IRBNUGyuZiusrS0WTzUiOcPZw5j0sb968efM2FTb1HlZIu5ThwPzU3zNwTIy1rknDkXadmwTKda/qtiyZKk3wxqY7MuQDPkhf7UPpwnkGx7WNkNQvkP7j8HDelj3YNfdaZQwRqahXlEsvMkJqELdjWe0ZvvRm35AehjX36Ho9TeDIpIsEShcuX0F/aP6eDEkHTNvYIkIElDNYm3BTt5JjoskHSOVBmodQ2AjISwJ1fURKF1nf/F3ZcmMczaqeGc0jRnRYMy0epd39kaGZky6rWqiqxKHBgmtLq8vJKpYckGNnysn2QB9OS9JNsOYgvLecckcAD0cKxt6epWnT2gNhA0QITlA4UcpzXjdQD7TpfcDOmL0kHKqz1+dIAOwJ6r8swKLeDNcHT4S9D1DXec7gWdU/+xVbNvwFTU2SIw7kPcWy9B0sSgmPhD1WECwi0tmDB5F/ZubfuMsEB62Hx908cULIcURrtV7c/09Ahom5f/qsSLnCklzUE2MNPucpC5XhRhqPelscqgHvMM2lRinS2qHOwZ4l7uEwDni8rGsY2SSnRVJKrl0s8+1hEZ7W7s2bN2/enmjmf7C8efPmzdtU2FRDgt3lSCatYnmbVERtplzyOqGkEBLkFeiBP+NGUIlICXE61lcxW4IHJkjHQbFHEIldH1FmYIXpRgSrIVtxEBbv5ZQjSK+BOvokaos7U1LXQGjLmJQxAPEFBP9lCuexyAFSrQjBJ1DkAMFDRGSoxIl8uhL9h+LeBAewdEINwIPn1sZzMW6jdfc1vcpG6iDOztjc3J24MqiEjCmoyMUe0fxAzaPJEIgUbFLHwbMrA2zDoqA2podhNRxWE4TV21XM5Av4jQU7ALMAPururdJnCsvMMjRWrGN7f83nqgzRoDHq35ylBXDRiMRvaxtF4gJShEDIVsQpWDBcDzgNMKCIyPxfGcHctV9xKhlYPxC/HSzSHNcxBnd5hGzWLIirczck2ArqJawWgbElRPwB6aO2WYxbYnUHqD/wmhmpukNMyhCW2OHCJm2cX0hxS1iu41kQcEiEe9Fc16CMw/0dpiyiZ4Y1mst4rM+i1imSUrbqNGnalWqnKFY7WHJlNV2GnDE7KSlDxmr+3sV8B/Q9NZwP8mLcD2Pew/LmzZs3b1NhU+1hVTuZBE6EQnp64D+i7RZSjuTSXejB7qhHRIyOuScjBQuQBGIiBsBYNxCR2jHtTuCdjRLXF6QGYW8G+oIgIYiIBCPd+XVd2UbfbIPhzaXExQXRISPFiXSgpIuh25mDlILPTIV6kE67nlTLxpxKRD3A0cD1CbvbSb9YXzgg0oWOh7UJkXIkGtCtWg8fvKMeeFE9csmQpDHk03D1sNpj52XDIylLeMgH/titcpI/l9SxqNAAQoYIeWLkVUC1gB3G1iFVi6DdNQ6r+To79bpr5ZQVUCXgQ3jUweQDeHHVNusQmnZrlG7DUqqZGo4UGKQOYg/N6XVA8kVWQ7DagLTQQUbh+YZntfTfbrRl7VcZDwy79uYRN6HDBaT7Yap7cS5QxilFrJYhjWdm1XQqIO+5tmn+LSdxFMkBvC5a95uK+jvcXMwe1gSOS64MGofs7YGUUe0W25g9rAkcSWGksVYkbsDL575jzbOXXVU9xfo6fYfoODIih2DOZh506xxzgHUk4r4HaiVqI/U1Dnkp/tzM3TuWyaSYjPZE5j0sb968efM2Ffaof7C+9KUvyU/91E/J3r17JQgC+cxnPpP7PMsyeec73ymnnHKKNBoNueCCC+Suu+7KXbO2tiYXXXSRzM3NycLCgrzmNa+Rra0t8ebNmzdv3k5kjxoS7Ha78pznPEd+5Vd+RV7+8pcXPn/f+94nV199tfzFX/yFHDhwQN7xjnfIhRdeKN/61rekXjcwzUUXXSQPPvigXHfddTIej+XVr361vPa1r5WPfexjj64zQf7QM1Tx2xapS1SrCllUOO5Eo/Or7E4jg6gU7h3U3b1zNVP3YSqDwka/5spmVf1irupOWxtV4/qy0w+R3PWawzYzhbqCmnPFZ1WxA2lLZqrOjd5qmL85bgoICernezluKlM1jSopfEz0wDeuurK6tsf3TqDswdsenVOkNxFxh+VMLEm1Xc7aK/oMsj73T+ELVWhthW48UBOZiYrKHLtqbgP0APrBagOApiiWCQ9mNMOwGmJRGE7U6+YoBsdG+RfFSFkBoLerhMQBrglNBe4BJMdpLADL8PU4yGc1BLuYM35mevBNBAJAkcMFJqUEuc9EHOzICGyfUrbYvus8Q8hWxJEZcnFW+jFgQBGRub9WIsarDVw4mqfYPW0qqRHcXBLDgzKGXV3f3N8jjWdjCBgwJkN9LiOzuywocrRkuFCcC8wpEyEA7eVT1ijJZEGhQUr/YuMTOa2Kfu9lPEb9mOOhRi2QM5h0oUokS8Wv/5wqS5KvQ4TUSWjeJ3MgNW2LrxIH45o+F4lJveWKJCMOXnxoe9Q/WC9+8YvlxS9+celnWZbJVVddJW9/+9vlpS99qYiI/OVf/qUsLy/LZz7zGXnlK18pt99+u3zhC1+QW265Rc455xwREXn/+98v/+E//Af5gz/4A9m7d++j7ZI3b968efs+sMeUdHHw4EFZWVmRCy64wJbNz8/LueeeKzfeeKO88pWvlBtvvFEWFhbsj5WIyAUXXCBhGMrNN98sP/MzP1OodzgcynDoTlXbbaMVmFSDvBYcIux5R1lCawf1OQzJwyJvy15X+ENka2S2sAEnHlTLUbnRPtGrQQ1PiOAwmOgjIM/FtkdNgNY+UZp6d+RcSxAmuF5Q00dlCRdp0kBrH5H6RRQX58LS2skTS9SLCskTTPoggNBODR4TJ2aE50LnrQl237nLHj4KHpR3EbEJKbu0lQaVO+6zThrq5+eoHkRJk6yIAWZ9QIoY2I2ys8c7XVtPiTcFjhCrOtg0F5Ya764HOQJEDxGnlsFKG3ZHHhR3vkwgQHoITowIb4KTTzIBA2bTUhBZAGMrS1rIhnvY64FntfQRQ8Rg78u1Sf+DtczfA2mRZAOyBXsGTI6AgYDCaTag9sFrpaLKHuwt9JWCz+QDUOFzpBn12HLzvc0ZrhCZAs+5Quu3rySOoGSNCa0B+7zZI9IwBk4ng7VXzRFL9PkQQgC6P8+jTXhKz6BMHxPfu/xeDLd9hz+cPaaki5WVFRERWV5ezpUvLy/bz1ZWVmT37t25z+M4lqWlJXvNdrvyyitlfn7e/rdv377HstvevHnz5m0KbCpo7Zdffrlcdtll9v/b7bbs27dP4kEmCStmA8OlbeZM3Wx5+2GTLjT/sEci0PKrFL0L9gKW6iZC8wEKEg50Sx7Quc1APSBWS4duIG/qK/Dy2KvRM6SMvK6hemLwtOoUwNvBmRydYY3GSlen7QsSOGasPK7nSnHFzdloqFR7CjpGPeyJYUeV00HUMqa1lxq6WnRwtu2WdaemY0ykuB1rVQaFspgOWninbZsKimdTuCWnwK27Wt4pjpuqtTgq2SGXjIfPlUD5zqm623MDOiezeL/5/0pO7y7fXx7HpF48b2gQNby3xzxbpkNXdTc8s+JQjP6uqo6RvTNzD58Ftg4pRZtSulttOdIXDO25G70j6pEwdR1nVvCscKYlItJ9xblaf5HWzmcv1oPhxJV6xlel65DSPSLPJe4V1exL6ewleolz95nvmuGie0dmVpSSTrT/2UO4jsJq9MureUzPy2ieZlZNHROiwdc0VCGHGtjElcV3JN2u3yci1U1CS6B636GMDzoODqKuqqYl9wXrMaKAaRuOseHaGDeLkfmN44lMxo/8DOsx9bD27NkjIiKrq6u58tXVVfvZnj175MiRI7nPJ5OJrK2t2Wu2W61Wk7m5udx/3rx58+bt+8se0x+sAwcOyJ49e+T666+3Ze12W26++WY57zyDTZ933nmysbEht956q73mi1/8oqRpKueee+5j2R1v3rx58/YEskcNCW5tbcl3vvMd+/8HDx6Ur3/967K0tCT79++XSy+9VN71rnfJWWedZWnte/fulZe97GUiIvK0pz1NfuInfkJ+9Vd/Va699loZj8fy+te/Xl75ylc+aoZgZSsVztxQ18SD+2trtuyr8X4REQmalMBRU4nU65RQUGEyTpq42DSU9MPxgi3bUTMn7Uwq2DFjYMJuxQkbLrcML/XM5lFbtj40sCQnu5utmhEwTJgpAYRp4IAiI4UEGzHT2nNcZhERSZRsgiSUIk5VIyT4EQSLmFKTVPTvCUGmM5rAkQkbXaW1R0S6ACybEjwaqK5YhSDLpKH3tJk3rfpsFB4A5ZFT6xsiInIGJa48vWmec4vkMjB3p9Q3bdkdePQM84yL9GUclvd2FqP4WbcPh9CcAsLqFDLLuAQ2ipTCy9AdFA/4IBt6fFgqOa08JCMkeAvEiRy5AZBkw80xdOTGRIcG5AUYUMSl4+CwEegVsoGinUs5YtO5EBwNkgtBXQh3YOpzto0HARhQRGTm/7tZRES2fo6IGDpGHrcjsbgyp7PnykCw4GcB2JPHAzgtB3GW0Ol7u80gGaoFFJgLBdhdLdQR61qCZmRt03UUKhlMesEaDOk9czC3a2tSoo+JV5jToeA9mMwQtItUIkxrT4o+DtrjEJX6miq6UFgC5p6JKqNWKMn4kftNj/oH66tf/ar8+3//7+3/42zp4osvlj//8z+Xt7zlLdLtduW1r32tbGxsyAtf+EL5whe+YGOwREQ++tGPyutf/3p50YteJGEYyite8Qq5+uqrH21XvHnz5s3b95E96h+sH/3RH5UsK+4uYEEQyBVXXCFXXHHFCa9ZWlp69EHCJTaaC3PUzKGSBdYmM7bMHmdPir/iORq4Hu6nREhY7zUK9wyxfSMvCdT0jDyijtLfj4yc1wV18S3S97MK5nzSb8kRrmikA0UCRw6eHEMtngkWOg4koRQhVXkK3kSQ8KRSpPimdF1PvbNRiR5gSjukQD22gOYb2oi5ZQOV+BKldyavYOe3MTbe6f20ZUQCx2GFlrGOe23k1oAdD0seagAtJ7tLK8U+4brcwbt+zkns7HVECLABp+TZIZiVD8FtgDEdlmM5oF6KhZeR7q7L0tczRdwmZqQB4U+mKtu08CXUcFYZR/Ayews4wGcPEHTtXBtYy+R1oS+848a6BnWd5xOe1ewnHBFj/WJz1MD6eZYEQPALPEs8Y7YceaUk6BieDQf64m/2zqpKjOFQAPSfn63GwOf6PJwzD84mpCRvBaQvnk/UO+EgahBvKBjeerkEwgAtCBN+FggzYXJRkZKP5zim4HrU11gralbmiEkRxv2/fxLltQS9efPmzdtUmP/B8ubNmzdvU2FTEYd1IguybUoJmvrivv6iLTuyZijwSB8i4tJdjGp0IgmFBsI2RnVzmsixKN/d3CEiIpV1d93anIGf4o6DiNoK3T3QW7BlR7fMdVZ9Q1wMl7RdX3DQn8w6F/vBthlHX2HPhGKkBj09xCUliVTnYkjJIseaLiXjuCm9ZRhUCvcGJTFpCfUd85hQepFMsz5GPYIEtZpxl6DQLY3ebxPMovFNcZcgS91TYR47qTsLPT408wkyi4hItGWuXx04KBZxUJwSpkwXD9AHQxZQF2CIKEI6ECIQVLagruDqAzmi2nZlaC8uiQ1jWC3oIQ4LbRXrYPgP0B0TMQAb8b21DVTiyjA2hm9sTI+bbtsG1wc4qOxeNswpKzjY5IusqQdIKit+hrUKGFBEZPEvjCLGxi+6Mht/RbcipQYbICp+Zkj6yFDkEIkZh8W55TKoWjC6b8k6JXArq5KECjtCe7BxvJgahWOuQBgpm/c8AaW4zhFXNakV34cyaHVAa7+m88iQNrQYeV3gXcqRV+JizFw4ySQteRdOZN7D8ubNmzdvU2FT7WGJ5GmwlaahPD9lxgUmf3dpp4iIHCavApp19VlHkR4G6qVU3bZnqWUo7EcaTkn9rAVDU1/Z6by4XXOG73u05U42d7eMWviBmeO2rKdJCNf6ziPYPWOu21xyJAGkjOZU9qcvrIuIyLG+uW6h7k7D71FvKyJtxH5YzfVDROSYbv22Ardthoc303Qn1IO60t+pvlbDfL41cGPsNsx10TwJ6EEvkXeU6tlUab5HSlAZCnm5c2P9jJal0tTPnDXz/uSKc1f2N82cLBDf+p9bJozhSbPHbNmh4IB2hA+A9dCcDshD6CrOMfmhSKbATjHnaczjOlcW6k6W60OCwLTIccntlhPl+0C1m3fIIEewyjj6xPT72O646SBdD8srpP0HryyXel77wqSUmqocDCmRIDwm9oSwS2c9Pqd/yDtubYtjU2BwTHK78Xz9Is6zWvh/i0kguU9oq7ZJxAAkqWQ2UIDrORQhK4wHJAr2ip2HTt4HCBslhBpmIcEbj1V3kwkwLsFnWegAdd1S/Mu8LlJ0sTqV7l4QLNgDRrt5skmxDazviPRV8Uqyt4m+chuDhch+3z0S8x6WN2/evHmbCvM/WN68efPmbSpsqiHBZNvh7mRg/NVvdU6xZZZ0QaQGSwKok0KDxhKxe7peVWWKgWvn22tGiT4+7urbbBn8JqLEg2tdjRuqO+hwtWOIAL0Bpb4AhMb9Uwgtm3X9AxS4tmXqbRM012sbiC8gBYtUIdA1iiVDu5MePXaFwTbHRJxAGgBSsGjjEJxiszDetEn3DjSyf1hUixiTcG7QVTHfHsVzNExZZYPim/Rw+cHBvIiIPDBx4zkyNFDt4b7Tlgx75t5jQwfjQlg0l25CYQmO3Af0k0sqqcYxMLZePsheL5IuALtxfB4groAIGyATMIkDsT+4nuEttMvQE2AePqwvgy7L4DccoPN4XPoVV4Y4LBYChgoCxFhFnNAsw2qIDeL0K+hLGekCxASG0qyCRUlSyYdKAini4NMyYdiycTOZC/PMxBuspbBkLnJleg8TLLDkWO8aBAhAugw/DpCihMqyZvHZ2vFQ33PZYrf1iePfgpLElfiUxZvDEp1aKzRDUwuxY47XsjAzxY4FWXk6nxOZ97C8efPmzdtU2FR7WLwzEnEexlLVHcLPzpif/42282qCXtGbCvTvjIgOoe6M+Ux276w59D9W32HLqqq9xyoZSMeB1O4iIrFq6VUp9XwcIfMfc2G1X+SlQGkCmn+tutsq96pmC1ShFCEDVaRIif5ulT3ISwrUy4ypT6kmfUxI1SLUvk9Y6UL/zaifSM8SdkldARdSu/A6WNXCehq8KvW6VFvbSB1hBXM8W3FzgecHgotIuZIEkuLlqeH6zDboMFxTi7P3099R3KHCA2PtvSwy17HyQeO4HuBvFbeqTKcftfKeAKfKYEoxDGMEBVvEJS3MeRA6t0y6gCfEigaOTFAMT+B5RL/gfYmIzByZ6HWssAEPi0gPSiGvrxcp3PBgeNzwJnJeIkgS5KVtTwIpIrJ50fML9VmSC09nadqZ4nzbFPA031Z9ol6cH/bQkdaEVSpgFU0KmlPQ6BSJLSCPsBcLHcQxPQsbnkBrAOPmMVpFDuo7yBa8VrBGWF8QXhdIOSJOBYbT4pR5drX2SUwv4s2bN2/evH2vzP9gefPmzZu3qbCphgSzKA8fQdR1SMERUIYQhg+RCYJJClXgHQRb2XgJd+vawEBSfChrr+fYCYX6UjoVRZzUmAgOw0hVJcpiEYgU0qiaBje6hnTA8VBoeDQoisCyQWg3YWhOySbjlFQoFFpkEgfg0Zji1CwEynAmMh1zOoySg/4cFIgy7RfPLSCNiUKbrbBfuG9EjQXapyalIYFxegYQB8qESvlwPdDUHHwwDKgkHyuTr0PEQTnhPKdxMP8OSTjXLhGOqUGsjM7FmIggNc0KOyayCw7NOTbLpiYhCBH15WKUtBoeN6BShogAITHMA5FThvW29pjnkSNYYL5pHICauF37WR/Xc/vmXxZ3hYJFPh7KlAEGFBGZ/6ghYvRf9jxbNlgoZo7GeuPniDg1ht9sihlaU0jxwgQUq5JBUKRTFnF9RnwToODWYfee9XYodLpRnPcKZfkty7QMY0WOwTxgVxpPtQgfY166y7TObAZsHo9+784V4/NyIr76/Ji4MZyLckcPD2few/LmzZs3b1NhU+1hRcMstxtHMsKZ2G3pa0omGJIXgAN/1t6zXhTp59Uq5t5uxV03VzNb6QfocD1SQgIndQQRo0Y85xjJF2uu0031nNZrzHHVnQ9t4ZH0sa7XNyqu3n7fbIcDan+kXlxMSRNtQkiiq6OsUmfShRJQXI8s2YO9Q+iU5TwsuLKk22fTSLBHWwGNlp6Lerm5w3rd+c1XzLy3QrctrepWrVWhBI6V4u7SpbZwZTY9BKdsGOFf9sRQMe1kK0V6d9+KhxCxA+lXyJuBd1KmXMFl2C3jgJo9pxA6drSTxq6V2/r/2/uyWMuO67p9zj3nTm/s1yObbEpRbFgDEJqxIomAP2SIgEUKcKRQlqkwhKEEUvxBGgYNwxAgD1+RDQkwaFmwZCDJh0MlnkTHYhwZdOiA/qBoqjtMEIEQRA0UKbLZw5vufM+Uj9qralXXaZLtiDAvWRtovNdnrKpz7ru1V629FvbncyZTKEWaFsib9OoGgSSjaU35eNbM7UJAb47p3cjOmJJu1RX4vprZ4dwuKV0kto/hPJsVLNoyDWRWgz//O3fczxpzSM9eBEaPRAwAQsA6jTDv9J9tWB5gMyAaJoxzhwwhO/kVpQB0fF/7ltFzxPPhbZYYROfaPz+0DcQJLsHAZzTz3pWQdAFtTb5emzYinlU2I0QmUyIGE46aVKQINUuvFjHDihEjRowYKxHxCytGjBgxYqxErDQkWA4ST0S00gX/3aWr1SkV3mIHXCg0lERSsHVYBKtNZobYwCk+Fv8TymqXatuREn5yoOSIvTWnzAB1CrYXcRemxeW5Ehco7YbT8FLtQri+qm5xKEYt13jmyBnWGoSEgBuFQNl9uYYbMBE3ZmKwGnYX7gDyInsRwIMpCWFapQvPhVhhNVIRwTYeW5Az9pZmHL9THLP7DgsdE+8lMMdfnDulC7tIz+iVbuKaIpQIMUQFKNCzudBusCgoghf/UavCtV6os/HVJ8JFfVwHsBkvmpdKBOFaLcA23Cbcg9BrCyVxrQ7GoLfvBh73YMh9dhRu29SfaWi/AtiIa4+geMBEA7R/7UWq31nv6L1ANHD7uM22j3ilh+E+hnZBsAAMKCKy/iePi4jI5MNuG+BZVmNYou0EcdaZGQvPomMR1mYB/mMB5MElPW6L3lu8onoq9xX9YFIDIFMm1OD9YSIRrssEC0B4XBNna+yo37BLaRPTXbY8i4wgTqeAEpJCuN/9vUrSCAnGiBEjRozXW6x0htVZNlKV4fYBqUskVmXB7a9B4SSNN7v4T/xlEA2Ygb2owlmmvQZlZyBspHS9XKnunGHhOL6ebQsRCIY9MzUt9NykRYCL+wPyyJAVMfRnlYcGjtxO6AWyvYkdi4Zn8Lp/QCkRsjMuN8Dj4PZBwaLb8gworJWGjt1Ox9mldHXVuNsicMZEjMugY1Pm5JQh3DmYQTNdvYPHQ6QLUK35ETjLCLcNi/5sHGlN7NomlXTf4SXTJ7u4PmPCiqoXdJlGrO80GS5iFp5SpgFqNNt2WAIMqXnYrI9m8FiQbzNV7E7CxXq+R6bjmE2YHKHvMn2GryRxdKjfUH9oI0mwRYjdz89xGdK2kVmt/enjbtsd7/aO17uE/dGxaBKmfIP2zwQvfX5EP0fGwqaSpWaIyn/xdQNRhkMZnsuEWq47cS3Hu8zZj9OYbCl9oX73tA1tpR85fZaxn98VkIv4+SWaITIZplhLpSxeed4UM6wYMWLEiLESEb+wYsSIESPGSsRKQ4LZrBHWM+goDHYatq7ioLTJMLQS6Q3JcVg19FOqUQJcR1wBOT4wkNT3Bi7V3VSB3Us9R/bAfU/0HYR1ue9chRF9xUqSgcNFUBeTUE3Y0YEB9JYKCa51HewJ25CU0vQFXJWpXmuqpA++LgRpcxK/RT0bw45rfdOfkdMVlmVf70vXAwRR02J0gpowugcUD2oSyYXfQkV1PiCFnOob0eHrCRI8rmO7TlIajdaznRqM7Lbv62P26pxaCBOASJgkgWDUEQK3OYnFTk6oagItUGMseMF9/QWFWQYMq4UwIUgHWLT3VBa6ITmFF/ptO63bLDlRH1FlClJN6O0p/EiCq4D9uC4HkCmPRTaptI8hNOaRZ2rUYRERQ6Ek+rhakgtIB9mUCAzaFobGLBGBhtMKECduoxsLupXuBgwoIrL2ZwYeHN3pVDLwXNoUMTzyzNRvu3cOtQVEEX6mVtgXFhzsUFyjXwTPKtSW0PuG59e0cLq4thHjPrxItZctMC4GldU06pbPTdlH29022CbVdF8WV/77RsywYsSIESPGSsRKZ1jlIPHVCzRzenHpVtInMEskCwzQxpEhmP/ojJ+o3PO+maqx7t3eQrUEyawR1PGUKNojzWb2l47WPl6YbbOFu28HFiZzmqFqPxrS/LswMTTtZakUeuo3SBw896n1eqw5CDJFQ7R2kB+WC0d+xhg0Tctsiggj6G81Y4aF7qPxwUy7mJLlh7aP6e9IZZnqXunM9PnZloiIPFu6Z3t5YTLWUeqYBrjv+dmGaxKM/ziZW4QzfmsFwTR0ncmyFYS1gBiEM+kOK68UOJ5VMhLveBGxs+82qjuSXM/SA7TxnGevOrunBXLMjDkjAfGEqcrzo7CCCEkvnC2kh7gvPZ8jWXAPm80QIcCOM70qvQOzn+04cJwlHXDmBEo1UejbSgJAxW+zz/AtYaDp57Yhs9r4L1+z28ZKhed2Irvu1mRcuRaSMyztnRPqFNmM25Zol0ChH5A2I9491nAsoEe4CJ8Z9xtt7hDRAc+ZLUzazsXj4+wdOom+Gao+b3oHkI1zBrjY0VKFA1K/SJNWE8qrRcywYsSIESPGSkT8wooRI0aMGCsRKw0JJrXv8NobGizgRwYX7LZvbR8XEZHvEBxV90xqur7lrComCisxMeDYhsF+Xug7eOktG5dEROTp7RPBcc+uO9LFyQ1DCLhp8zl3X8UFnhttu3MH5tz9TXduoQocGRFA3rJ9WURELs8NDLZG9hlAORgmHGUGCjyx4UgKux21JpEw1oeubqlQx2GGBI8MzVjtO5VXGW2awc/XabVVMawiIShSIcb+hiNHzBPzPAqqUUqG6lRLECwEcf/Rmun/27uOTHHDcF9ERI7lrkePbf5jERH50Y2Ldtv3kh8REX/BHaSHilxasApfkIKEhW8ISgKJokPKJovtUMkhvYRF+LBuiTGiuu1TqLvBJ/EWtDshnDnbUViRrmXFS6cEJWm/m4TmqmgTw+uwUElfehugIa5JAwyVuVdKumqJUpIihYWr2GZDoc9U++ERHTqoSWPSRQjr4brsFAzhWra6WdrnQvC1DtW4RRFj+iFSxAA8uRHCkwyXtdU6QZjFFzv2t7UpljA8C6iRrwEokp+PJUERZLrYUrILEW9Apsi5Dq6LfXQPJcUwHA3FkialG09Cp+7aQvNMvEk95/eXi5hhxYgRI0aMlYiVzrCyWS0d8vObqaZfQbzOWWGmBzVz03XGX9MMTOpwJlRAN5BmMdYskKqzcRyrHEBz8MLSZWf7i4G2iQwmc9O+inX2tCm8bVqa6c54qVRyuhno6h2yEgE5oiTNQRA2KiJOIPspem4b6woi5ji3ahlHysRq2I8QecVqI/IY6zmsv1i1PAM8l45KlcxJ0QD35ectLSae1h6CZr7ItipKK2y2QJmYVZggWjJUC5A1mHuoUkER3oOzM6seQLT2pEHmQJnQFRqCg4tUgnHEvDM9sgiZb4HEwrR6nYWH6/KeMgXCU7UAmYGIAVhI59k/yBFs9AjyCmvvwUqDP0vQquPsCI+yScJ3AWoNfH+0k5Uh2gwhLRGECBGWGMDbliERBJnV8EGniLH4wD8L+gPafbHm3seO1fxzx6EsgO8LNRToObKyCj7qTPJxhqHhc+TMO4UCCl0PpQLemGl5AGc/OMdT7mh5LuiHZ/6IEgg2NM3xmffVOZqy5QW9SsQMK0aMGDFirETEL6wYMWLEiLESsdKQYFKJt1CcqkDqqHLEgIVCWSxXgTonds+FlUa5dENStUCCE4XmWBF3oRAf12uBuFAJQ4dhCXrZwMqD1B1gs9GllB3X0zaVtLKKbJ8hN9RwoR3muMQ7XsQJ5jLUV7YI7LbCdY1/L97GYsOtx7VYiTRlCBNCUHis7AhCmSzsd1C6WjdAkaOCVGCx8EzD31qH1bLNKQ+4c2sQA8oQSmI7DuznujJ7PB3XVCEkAugKcEtFkC1gR16EBwzH8F8+DpWhu1kIy+A6noZwjX5TDY7WzzCZATBVhxUxkrDmydqVePU7Yb/xPuQLLNq7fWkLJAmiA9ep4R4ssgoRYXa7hUVIq8suqTKAYAEYUESk99+eMNf9F46IgbFgqA9tZSjSCjp7bTEb50eUEPY8QcDbpp39XffSzI53vb5yNC2fPbYSQf1V7Y2jQrZ0OQjXerYmIxxHEKPWVHJNWLpsebZoy5yg9GEqTYuA+dUiZlgxYsSIEWMlYqUzrGIjbdV9YxLAos0sUYPXD5MsXLxEVsFr+uNCVS2IimkzkZYkZFKSgSKyI8p6sK0pQjJDQiSKLNUZp/YNJAgOL8PSjJJJF5gUtWVEnG1Ck5DHB21mvcJ0Ec537LVbpkKeckYbEyBkGbv7twmkYR+nTjpkGaULbdpyjYSZExa+eVubVh26wYvgtgtVeByfCzoy04zdfiKvdNAm83O+4/poiQ40Q8YMnkfVZk40g8U5noEj2tSitehlli22FFZZg2jyMPfjzAWPu+iwXqH5yRktxgzZWbt2HWWWVunC7UcmxgoNUPjg6+FZsEUIMjpWsAB13aOha2Y1/LIjYuzffYu5F5URWBNLotPjHsicRFyGPt/Re265fSCRpPSZt9R9RmY6KBNw919smL71DiUIfn/dR4hNHcN3AAobrLqBd54NO+tF+NzwjKp+x9vWtPwpuFrEDCtGjBgxYqxExC+sGDFixIixErHSkGAjV6TpCmtxXc6a2nyM+Dy1rGBoDJAcW2/UIF0QzLPdNYVfNduVtInE6rkMT7a5BCPSPkn9q9IF144xeULE2ZJw5LlrU6EQZyel1B1wi2eVq9fruwXd+dxgNR12HFZCy3jqyAzWYZnG0boUV4yh6b6UCzUA0VAHWiBVBOrO5lxjV2k9Uj7jA0XEhwkBwVR0L5AJGMaw7WRH2wpkCl7AVxiXoLHS1lURmUFvXFLNFYgGbUK8vIBua4n0VCYQWCiHywgVrmPlDkCcg8vuvQC847nS6qvUv0TvwFF9B4gcUuchJLjxjMG6pte5G1vCCL1m2RT1WgQdKmS38ax7lxfb5rnNlHyw+X1HPpieyLXtDHlpTdE4hPCYBDDfBpQVkmyYHNJqEbIAiYOIC/oMAAOKiGz/4WMiInJwl7Mm2XzGFEyNbnDj0981z6OgejG0ub8Xkk2Gl8z4MPkB70NbmwqC+tA3D/7Tv/rrP3BjO98xY+tZt2htX++AYUK/veZ3fc926Rno+PG7t1CFmKBmr3jlmGDMsGLEiBEjxkrENWdYjz76qHzmM5+Rs2fPygsvvCAPPvigfPCDHxQRkaIo5FOf+pT85V/+pXznO9+Rra0tufXWW+W3fuu35PTp0/Yau7u7cu+998pXvvIVSdNU7rjjDrn//vtlfX39mtqSiE+IyLrm25wN/UBq8KZ7mvV0e25mV2p2llJW0VeTxDHNzOcVVg6p2j8z922IkLDWNbOX7dw5HmbpEe94EZFhbo5rIyTkAze93eiamdrhksXv9LothBGoXnQ77l5dzcqWGVH3NYvj+4NYkVE7YQRZ992sbD8z2VaH7o/ygNozidRMtS2DoufSRnxB9JR9sEVkioFO/3PPp8Fcj8cdpANWVEjtQrE7FZp2Bb+GOi7EFbAL1F52FiZYdhbMhACQGXhbaQcmpGbjJ9O2oYZQ9t1FLFmBEm9rvUFEA5APPIsQvfb8mHvRLTmEdeQg+kEU7dGbzAB6GY4qPfBjaSNPQDEEZpUcUARZHHF9xP3ZQgWvDytTIEvgbbDF8JQ2NpF1hRR/T4WiRNZFFkC6nwkWyKy2HnDWJLAr4ayw2AANnD43SphAm9hgE1R3bqcjlNDYNVen8/O7j+wd1HgR97yZ9o++TU66e/T3w34jc+LngsyKM1VrUkntmx3rvLpagpPJRG666Sb5/Oc/H+ybTqdy7tw5+bVf+zU5d+6cfPnLX5ZvfvOb8jM/8zPecXfddZd84xvfkIcfflgeeughefTRR+UTn/jEtTYlRowYMWK8geKaM6zbbrtNbrvtttZ9W1tb8vDDD3vbfu/3fk/e9a53yfe//3258cYb5amnnpKvfvWr8sQTT8g73/lOERH53Oc+J7fffrt89rOf9TKxGDFixIgRA/Gqky4ODg4kSRLZ3t4WEZHHHntMtre37ZeViMitt94qaZrK448/Lh/60IeCaywWC1ksHMx3eGiKCuo08WAHqDWw8KmFxDiXxMLhkhbm1YW37roLovaIYYRhBjtTl9aCWJEQrIY6qVkdForRGq8sFGJkIgR+KxeuH6j/AsSZ0vGov2JoEG1aElkDihwsqgsUKm0hhLC78FzPnc7JNViVKZoqhMYSqitL4GDcppbBnAdcJw3bslBs6oDIFCBWVIzXab/3C2fXYmuKCMKzNTgZQ2NtahXmp2cbgleKbST0MgxRA5Jie5HBJfOMuA4LNS0Mm0EcF+8eQzogJnhcH/2dXzdAjQwRLdfDBXII3AJqFBERXXCvmDRUAeJ02/p75pzlRij4mnrirgrTcR91XNafp4V5JUeATLF23mGcy61QUQH96c5CyIv7beE/UteATQmTSKz4Lb0r2M9ivm3vlCVY3OlIF3AuPvhXbtvgokLzWyGki/YxZAsokN8j9M13ejY/GZoD1Oi5Weu73CPljEbhYK6JgwBzdxS+50uG+lD/RRAnoMDuIf3xVKidLWa641rK4upLAVfGq0q6mM/n8qu/+qvy0Y9+VDY3jbX5+fPn5cSJE95xWZbJzs6OnD9/vvU6n/70p2Vra8v+O3PmzKvZ7BgxYsSI8RqMVy3DKopCPvKRj0jTNPL7v//7/1/X+uQnPyn33Xef/f/h4aGcOXNG0rrxZuhdNV/cyhzNGTPEhGbtMLlbG7hp8whKDkRS6ClJgYUUWMPP3lfPaYiwsdE1GeEGudh1dLrMnm5rSrpI6NxE6eI5Ud23e6ZP06LrXUvEJ0dcuW2r5+6PLMnTUGzJ2Cxhg6671qW0Q2M3N6SLnLNSvXYzINq/qiD0yRwTJpVMPuioYWU95o2mXUe7xqRxh0gXIFasZ4vg+GM9Z+roaMmhjt2YNPowpCXNULGQzTp7TICw50JFhB5uNtPsY53Gu+Mfb/aHSgqWzg6SRJevC+oz6T/CDJGGoo2wgXv4NhLm5+wYKxCEpItcqfCcacw12+P+WCuPkrK4buLtM/3Qa+yEZAaQOJBVcdu98U/CbY5QE2YkTIqBEWfGmoa29kOC8C1C9Bwab1DXmWCBzGrrPzkixuG/fI/XHw5kR0y6WGyF6hJXlj1wIOsVcdk4W4mARNFGsunSUCDjPnwTIVZq8MjXQ/uY5IIMninsCLbRmZy8NtLFq/KFhS+rZ555Rh555BGbXYmInDp1Si5cuOAdX5al7O7uyqlTp1qv1+v1pNcL2XExYsSIEeONEz90SBBfVt/61rfkr//6r+Xo0aPe/ltuuUX29/fl7NmzdtsjjzwidV3Lu9/97isvFyNGjBgxYojI3yPDGo/H8vTTT9v/f/e735Unn3xSdnZ25LrrrpMPf/jDcu7cOXnooYekqiq7LrWzsyPdblfe9ra3yfvf/375+Mc/Ll/4whekKAq555575M4777xmhmCdJl6Kv5iZFPdZKEiKIxo0c4YdTJp6eOhsKWottqqoRulA67QIYbTOv0wq2J+a63TGbtuLI+M0/MLAZZcjraGak+Pwxemaue+MHoWKyi7pHs8cmhqusboLLwnKms8UJiTSxXJqtr04dkVFk5ladMwcFAAEhK+3UGIFFdHLUgkYi4U7F/1dZrTSD97EyPUHdiHzDTpuZq6XTWmRV59Bh4Qza8Vhvj05LiIi39lwZIpnZ2ZMNggSTNTd+Fuj43YbIODaI1iAKENQrP4KtQERt6jNArKdgS7WMzLVUusFSMq3IfGvK0JOumTlUSsCCwiRYTjAeewQDIjTq1HSbnTJmRi1WyyQWmdQnHDjODtmnhXX0djj6b59hY0KWkjHWLE7rbVaYVsTJZasXSBihZI38HxYjWF2Qt9zQqeh5MCQJPRg+0QisUQMImcMLoUKI9bxmCBTK0TcImzMKwRWwYIIKCBYAAYUEdn8koEHp2RNgnuA4MDvlq1puoKsIHKFW7O2mQkwbULNvUOF9ei9SFueM/rRO2AoHe8qEVX03ewRwQL7e/u0DDCE8ou719r5SsoiXNK4WlzzF9bXv/51+amf+in7f6wt/fzP/7z85m/+pvzFX/yFiIj8+I//uHfe3/zN38h73/teERF54IEH5J577pH3ve99tnD4d3/3d6+1KTFixIgR4w0U1/yF9d73vleal9CDf6l9iJ2dHfnSl750rbcOorOovYXLjmrpYYFeRKSnCg3Cagw6LWKyADIMtvRY75sZ52VaeB5mqkxBJImh6hVOe27b1sCQHY5TW17It0TE1wXcVHLGi3S9Ro0b055rH8gTUKTY6BHNX8kPbP2Bfgxy0mkrTEdKui6o5qxCkek5vA2qH6yIMRvqLI8IFjUo7DllGiAQkNZh3dFXj9dks1Bnr+mZe+yo+N3pjlOw2MrNmGxSCoz7Hu+7cf8+FBr4XbG2FK4BmLV6thTaZCYf4He+nnWYocmio8KHnwm+nrXcCMVY7M+MKMNW83AYZjBJxVmXkjMoI8IsmDMIXG9+1GXAeAZMNGiTwsRsuY0675EKNCvKSCEh1ayHMwfQuaHztzjiBqpNwcJmPWwoCPJMj/QA9Vkw9RpaeUzbxvvgiae0KHzAfJEtQqANyPcAdZ3HYtpiTTL+yHu0zaD6k4Gjqn1wtmIVQFgpRseA79WFOkYLyYfLKOxnjl4LZOEFEV8yNSPlbNPai1DWZe1cumHm1r/sUuTpiVyqIjzmahG1BGPEiBEjxkpE/MKKESNGjBgrEattL5InXh0P8JMpWWTOlwoptLjsesoLmlrzNhANOJ2el+Z6UHkQccQO/ziz7bB0xA5AgQUpSCwVc/HaonUJvKnSnB1KFwwr1hbWCzEbVirAcTWrUCiMyEhu3aJIgfsxJAjiSU0wVJtaRYr7skVKS/2INTtt2Qf1kilJSUDNY0H4GiCxJb0Y+JXVC1BHU3uWI6EqgK3zofes1SXG1jfR9fTasF8QEekevgRkTv0G7GWhMbKWwEI7Q33LtbDtRQtcN9sx23iBHEPq1RsOABtR+3AZaqet12pxUGZoyorK8nuG+9K5gDatmC9DfYDhNt3nO1XoiUkp/JwReBadPGwnKy9g/BJ+jno72LVwmz1RWVXnaHNQ5kC/AQOKiKz/sSFi7P5rY1fCUCPeBQujC5GG2FHcjjvVySmcx2K1ePYM4aHNbP/yUuot/BwBrzPM3ODvKWvz6u5A0PiVC13EDCtGjBgxYqxGrHSGVQwTb7YHLcEecZBh4HjQpRmlfk8nLZp1HTquttYkbv96bsgOTZ+UJqB0QWXiME7M05CyWdKsCBmTZ60x1NlJy2JkWYXbat3GpAtkbBXdqy1zgklkh8gmyKLKMryXp0OYhgu6VrGDZqPIRlMycKyUYMGzeqhU8Dji2rlO1ydN+Mr2SPyvaXmmTElHwNCvcgmwm+nTMIFxy1kKFpnZmLHY0GvMW1QYuNp/FJI9LImD2glNwDZdPMzkmRpfroeZDqxTeJZbWdsQXnDHue44ZDrEGbJtIQDDKhowUQXnst5cGx26gA4g2WbMt/1McXjJHT853fWuJeK0B7MZGQrqdaHMIeKyXB4f3COl8UHGtCTdPmSKrLUIyw+qoLHlEB5pp6XcACQPzgSRWe38B2MCycaQUM6YHaHrgtTQ8hecSSx4B5dkFrnYNj+HF4l0thF+1lF2AHULDoyxOdf83t9zx0H9ghUx8E4Xtd++utV3qD1ihhUjRowYMVYiVjrD6u/WMt9w/0fGxLb0k4X5Wm8WDErrLI4nDnpOQ4lO1glN3w4LQyFPFpy5aJa0pFmZ/kwp/UC7Mso0oFfoKZ6rcny65jIHq0Oo53If3TpUOLvvZ27aPtbjWLdQbDZFKuiqB8iFyGhzTnqAqLfk62F9LGHsOmtpn2ZgnP1UmgGmlKVUa/7sbjt1dF/oHy68hRYTXb4wZsgjMrNUq3RkWiIO2+fZKM8QbdOh97bHM1Rd03DSjXYGy1p51tSRl/MmoV5hqWOA+3NxK5jCC6IbDy7re+EVE2NhzV0XySjT5KsWc0XbLxqLwV6IFiBjGV6kAlHVTkxJhRvZIBsEdgpOr010R37beV2kd6DGlVR4in7zq4UxK2k9ZgOK8DQWVlGcnjEywMFeOD68ngbauae4bguWw3N5G9rqUdd1zQqZ1fYfPmb3jX/W0OC3vstF1CiyJ1RnDg1Q+ttQhcXRs6Phmjt0ClmvEM9itsNagmY/FxOj47yeN7gUvit4lv09967MjmXSVGEGd7WIGVaMGDFixFiJiF9YMWLEiBFjJWKlIcFiLfUWHWs1ZGQquY2K02QlJDAkMQeVnFLnZQg1WYiPWegKpzHVfaSafxcWpOWn11uQluDB3ECMHqaht6gn7v4HC3McaPo5kSQA4TFc1yg5Au0QcSSKeh7Sy5mQAYizItgTlPliSZTUKqTJg4ufkB4gtAErJn3gOCZEwBCSkU3ddliafpyv1uy+ieo6MgyW6HUvL9xxIBrMCUIDilh6ZndQKpAg2IwQWnbFGl8PNGMiECgUyK8jqNFMhEjx3jA0gsVyXQznBX9AWXULlMcqEFVX3wuyc7A2JEs+DuSHEP7MCHKC1iETEmCwyPp5gKG4j1C6YIhvriSC9edJS3A903aak9dedPswnmyw2UZKmW+EUN/0qDm3f+C22fIA5gC0qGTY/fR4AOExZDq8VGq/XMdhvggSgojTBmR6N54LngFgQBGR9T8xihijn3M0eKvU4tH0Vauvhdbfwv26QkMxJBxZJZAxjZnCjtOTVDaiZIqG4HCMAfQVRRxJaUHEqWzWiBQREowRI0aMGK+zWOkMK1023qyno9qATHO2FHL+atZzMtYSHIAsQIvbSlhYciKGClKasYCcwXRs6BBC705EpK8afVz0O8wx9aT26SwnXXf9ODowGnrIsDpE3AAlnbOkVEXwoHPI961atAS9gmDNpro9N7uFliCbRY47Juvp0PWQ5dYD1z4UNzJ1Hk31WOpZONMCYWNTFdmv7zie9UBTnV6HMksllvC4YybNM0WM8ZxeDMyGvSwFNHAa20IF43sHTCoISRcgCaRUCmANFJmUoru9mTHeUc0cGjY+1G0VaVc6GnoTHMdZH7JR3pZqpswkBdyfxwK07eEl0srbDAtTQav2FNQ10efsdaDXYXVxZA7ICrmo15pZsjEjzCwpy0ZmxdkHSA8ZWRCgGNuzmc9Biaf+rIUq4321l09L9wLjejnR9GFr711viKzZvbcoCgZ1nQkWyKw2/ig0gWT1eZBCcjKkxPuWTelze71Jifh5o9/8fPD+To+7Pub6K7JEEWcI6Znpan9r1hfUdg1fdDcZ3dCTahlmhFeLmGHFiBEjRoyViPiFFSNGjBgxViJWGhKseolfxa/QS0Eb80642pgofOMZGU7U6JGULmZaw9WhuiAoXUiInnh1WFM9d1a5eywVPmD4baqWH55aBMgH+05S4NKOIRGULVqCuB4rXdRayzUm0sV8bu5VT4k4ofYdXJMGSHA+cfeHigiPWaqkjGrKEgnmR2fs2ocF35JJLrBsINJFoqaObJGBMd0vDHPh28URu29Uur7Z43XsLhLZ5UoCg4hTCKhaFqgZ0gGkwjUmiY63p8WmZIKqz/UuSrogYkdPoSm2rwCxgSFBQEkWoiLIDcfx8aj34ZI0IOM5wUaLTZA+QpiS7TNQxsZkE7SJWTE4jtUdUJ/GUF+tbWWCw+yo+c9glyE53acEC88UsAfYituUBtdtdLwZsgXpgZ83oMCqx7CjWmoQmQLjnBHcOzsOWC2EankssM2r7YONDZEu8C7hWaHOivvbZgLJRAx7fyIX4VGlRPpwOo2uP7gHw4SWCDJmeN/8ZGIJxp5JLhhvhicxjuPT7nObliL1K/dvjBlWjBgxYsRYjVjpDCuf1lLSOnquJIFNmgqBECE5Lfjrz96QKs11IpDScesDk00d9Gi2rsGadT0lIoyJdAEDxwH5ea91tTqeVCWgRJHQfW3GNHDpx7GhEUaDwoUla4jIpGd+r0hnEOaPG323wIlzpy3K9VkW3p8NFzEWEyJdzEZqt84GjkpxrzZo2jTR2RaROJaaDTcZzdSG5pyavQp1TE/2DkVE5K3dPbvvSNcQUXiMYeB4w3Dfbntef/JsDxkWz8yx4MyZE7Ifnpljhtrfdf2ZHu941zC/g3rstiH74Fkw7udTyP3Fek/pwv7eQuYgyjeyH7ZCL/uZtp1o8jr753tYHUB6VTB+TFJI1eSvJIo/+sYK6ilo53Q9mCqyqWOjbUn0+Iwo+aD/+8aMSkrhV1p3s24g2s6kC1cOQdmzjgFncTbLXnBblNBScTaF/YQuFG39xja+h5YqZLhXSARhgkUbEQPGkJyNI/Pn7BlKLV0ifUCxg5VIEpVjYR1EvKOs8jI5hfKNMLPMJmzaqn1b+u85E4BeLmKGFSNGjBgxViLiF1aMGDFixFiJWGlIUMRfvK4UaqtbXdNCpYuSFCcgOMu1/shUUyJTdMEgoFtUVrWBqviVYLGWOYwIZIaMiCAQv/UwDb0OiBMiIjM1jqxazBohXJsThFco3MLJdqGkh4YtQvQ6/vUUliHZf5hOstIFoqJ22uvRmIED45EuypZnBEFcsiaBDQnUS3aJxAJCC9vJ4Nky2QUPlSEvkBRYNcFCE9RvwDz8ni0V/oLIq7mQXpd4IECmGXZc6jmszNAGYV25j+9vOUUtMBgL2aK/TCpAFGvhNlahsEQQIhUA0uHjoKbhLeAvUf9FF9dTOtRvPLaqpf7M3pPtQPS58HPE/jZTTYb/nDkn9ScLr8cGhrbpLyHOyvVfFhJruH0t5wCmo+Ou/JPVobZDwcIzs9RxBAwoIjL8slHEmNzhtrXCbXovViexxpktRpxeu1ogcjwzhoqtgk7XjSegzTa7n1caMcOKESNGjBgrESudYdUdn9aOYFq71e1jG3dVs0gp08EslE0dQT5oSIFhf2lm+pxN2eN4cqJTPrZqBxV9WYbbmjqc2bCpI9QccC+mtcPAsaRpJq6XtyhisH29VTQgIkgDZQrK2Gx2SNtK2IHkTLrQ/uS0oKxlAZ5hZh2OmeRXn8kiixrS9KzXJpCmsdZxhBo7LHR5LBpPTrlngUsvh+44LPC3zVR5dp0iq6Am5UoHXrLmYIafISWeKeRoM7IVNoHEdTtE8gEdmYkl9p5t9iG0CeSDphsextR50Jv9DCvx2inisjcoJYi4bIv7gcyljRoOJRkmwOD5sHGmpd9TlpRYrceQBODZi4B8QEaP+NPh6ewhcaLnDRuizpIULAahrmG7FY1mpZxE6fsFFQy2CMEz4GcLYgsTLJBZrf3Z43YbyBmDi6T+M9Dyljx8jl0qI8gPzeDOjrgXo1NAbzPUneSykeGFUu8V5kQeuWejI1XnledNMcOKESNGjBgrEfELK0aMGDFirESsNCSYNOLXN2iN0DoVwwxUtPWwx+wMrYSnuiBYjbAg7roKx45olKB00fSoJkNht4ZqqVBflRFGNNDaqRmRPYa5uUenT0KYadiWPoReVUB3QHVYgOmYOJGp1QgLw6ImjeuhQITo9dz1lkqsgOCtiMhQf+d7zLRuKqd2FoBHGTJVCLZH9iezro4BWRMDAq0ZGtTfN7OZiIhs0P3zFGLHJH7bV8HZhBfcRa/r2gQbi4pgMGuXwoIcaCZhl6UqPjQH7jioWTCpABAJC/yi+aUHjWnb2yAiwGsepJR6+8zJ6KME29qQU4ajaiWKMNRnL0FtL4Zt8I4ex4j2FW0XcX3skutzvRWSHtA3htUQJURhiBRTK1zvEVYwFi0kFm/BPxTucPei52PVIhhu1V8XbKtSt9TsKYy42A7VJ7qkqGKtb7Ac0EL04GeGa/Azw/1Z/QJ1WkzEAKTaRvzhJZbFjg44uwfp/pqeLWBefo7oL/ejTfi57vift5eLmGHFiBEjRoyViJXOsJpEPB46lB7GxC2ewoRxmV5xoqN5i4g0IC64tXqZqc4fU2bHhV6bMggYHiZsQaGkiBlN4aEbCI1CEZFpz/zuUcP194rsOEDesPYi1ChoKIq3Te9fuil3c8U+EZGmwlhkwbkLIkkgO2PCSDJTVQuabeF6XEYAmrpHa1+GcyWcm9K5jTVwNGSXEU2HC52azYTSJNU3LGkaZ6nrRAuGDQfTmDFD7LTYHTCpANReViPAPVhvDiQFmBGaNuBebpNVTeB1bD0OxAWelVqrioSzihZKvqpE8Iwf4EObvUjThH2siJaMtnDmArJHp+SMIJzBuwzQndtT7TkmVoDEAJUMNud0J9KdWkoWEBWNp1URocOgnJEtOBvX/lDbHXWexkfbqQIsIuIIBvyutOnsOfq7OxfkiWWL6ggyZLYIgTZgWybGBIs2IkZ513uC+zs9SbrOBVXmWSPtP93PpItigBIR+nypugo/b5vZkZpGutGR5hpo7jHDihEjRowYKxHxCytGjBgxYqxErDQkWGwkUhMaBEhpd7lmt6G+KGHXV4V8llN3cqPWFg2RAMb9np5L91QYKp27603n5jrpwqW/E4X9Xpxv2G0zhfOYuDBZahsIEkT7anFw3gsjcx1AjYuSIbywbgoWIvuzvt0Ge5FqRviSEiLYUbeCgG0R2ouwwG5HIcFyTq+RPoNkQVBbCyQIggNDEBgDz3JE4ZgLahfybLlp9+1pTVxGtWapQo3PTbfttmId9XTcJvOzjfzgw3XhcanCxguybAA0w6SH6TGFdt0jsLBxEpaxeKoIgMLqLFyRxuvDoqT5VLdRjRLgLU8Npgd4y7V9qePDtio4juumoNKx3AjrphZderZNm0oG+k21Y9rW7oi3wd3Xv76IIxqgvSIivYOw/g2wGkNzc31WvlVGSNjAmPJYLJQckk3ZeiOc6+P5sZUIygGtK6+I9A6b4DjYqCy2zf9nR8M/zXAKFnFjwe8ACBuoszK/62fvLkfE2HrAEDHYrsTWIJI1yvxIaN/j+sgqGcFh1omaxYvx3lRd14+0bKSJ4rcxYsSIEeP1FiudYfX2amnchFtSzRau6zu+8daaoUPPugO7DVTQ7oCo3JpVpEQv3xiaFfSDxNmLHO2bsvinB27msLlmjrucu3uAEn7dwLVltDQzlgNxU+71nlkFv0xWIo3S2hMykzw2NFPovbm5B6xKREQOcnM9tgip9HqbZC9isySi+EM5o0uU88TqC9pNMtTrTGZu1rUcqvUFZXag8TKtHZYjnr2IbpMDmjPloLUTiUNpy2cGe+Zn5la5j/bMs+Ayhsf75hon+yO77XmdLbOhHyjankIC6OXUb6hPMDUcen2Di64/iy0za0xoVo/sgLOU4SVzzrJFx41no9NjmXcNS7TwrhfON8lpJSBuiIhMTprr9vZc21OUdMxDYkB/z23D/pRUY3pqscJmhJjpe8QBkB5obMewOqG2zHfMNlCduwdUeqJZDd8fKhA8y0fm5N2/DI8DcYKp4UN9ppxBwXSTiRMgE7CSw/oPzGcS5o4iIr1d80Dmx1zW00ZIAPFkeBEvoWsn+sFtQpbNFiHQBuTrtil8ILOCCaSIyOyD79L2uncFz7RNp5EJFott/XzPwuNyKmPoW/1OZnuIJEUL3HCViBlWjBgxYsRYiYhfWDFixIgRYyVipSHBppP4Nh8KM70w37LbDiYqVkskiY464C77Lk3H/ppsKSbDkExxeW4IHZ2xg3RGUwOTdWhRdqqkiz1SUt2dmN9LIi5MOua4ZkYirDO0xd334sTcd1GEj6xUZYqGrHphTTKaOwhvsVDRy1kI38w67rgacF5Lmc9yTmOmZIqaSReoi5mFpItiRudOFYaaELwzwUItQSVa4/bs7IiIiJyvHKHmxZnBg0eZg0dBhmGyCxaKW5UaCEJD7Q8v9EPUloU9Qaxg6wS4wTKZomqBqywRgo6zzsS0+O+IFan3fxEHSTL5AMKoTGoAPMj2IoA22SHYCdiGEBXXQbWNH2AjbjvqmtjqBMKwTHrAdLmt1gowHdfJWbg5DSEvbhtIHx3PwbnRc9092okvYVsAsYFIYK6t8DVxYuaqDMGCwc2xcFuqdYvcFvQN7xlDwNjHUB/6BqdgEbKTobo2a0/Dw67vI2BAEZHBn/+d2fbP3ba2scDzY8JRR2sPWQgYz957z3IQidx1+7uleLbxLxMxw4oRI0aMGCsRK51heYt34rT3TlL5+frALMjP+o4QgcSlt+Zm5guoLBAhAcSJ0cDdZyM304maSBfDvrnO/pC2qQ7hke7UbtsamHM56wF54lKfKOkgPQzcthPrYxERuTw1GcaQtAS7ffN7SsoUoKmvM+lCs5UZW63AhoRIF5XO6Ph66GOH1Ddmh2b2mDJhpAyzw0TvmxHpopgr5XtItGXVJqyYsKGajaf65ple3xnbfSBdsElm3UK6OK8zwB5ZJyD7WfJsVH9dELUXM8qcCBGecgW2QUtw5voz2DXnzLcpS2iZIlqqOWddS59skRCBIFMSSdMJrVHYtxJU+3xE2pGKKmRkS1GrvQPfA58tbi/UGNhmA0aDnjFiDro6lRsU4bndEbQWubTA3LeL/tOiPWbr/LkHdZ5tNnAPz8pEd3umjpp5pkSUwf2ZsJGPMRZhBsxSO2hXPg5JSF3/T5VexP16pXEkZ1jW/NK95s5Ohu+l48gWIVBI8Wj/+n4zwQKZ1eC//p3rz23/TER8HUT7fOjZzo7qZ5kRB30e+Zg+84pY9ZgostbxFXBeJmKGFSNGjBgxViLiF1aMGDFixFiJuGZI8NFHH5XPfOYzcvbsWXnhhRfkwQcflA9+8IOtx/7CL/yCfPGLX5Tf+Z3fkV/6pV+y23d3d+Xee++Vr3zlK5Kmqdxxxx1y//33y/r6eut1rhZNegXEonm6ZzcBnIfdeBVmYngLNU9JhxatAYmFa4/WMkPEWX4IZbbrCvVxjVBPLUdGpN7ZxSo4r6prn1K6B2xN9tOBto3a3tI+wHmwORERGek5fN3aHs8LnwrhZQ4y6OrvZc2r1v69REQq/E4uzSAppF4fdYG4R3CM1mGxwzPGIldMg9auLRQ44OIjPRV2JCLt9hGAXBjes4QEchy2C8UEZVltZYZ57EBS08sQVsOCs2cD0vKC4X4Q0/XcjfWVYiUHLLR7i+tVuDAP+LFYD+eqHvQDh2B2/NX7eZYja6hno21DtIVhwrBGCOPCig+u3k0VNKi+C/1lggUgL08RQ38y6QPn8oL/QgkOvRG/+4l/ERGBtrInfqsQMfexzQUYbe3tkwWP1ksxScEqV1j1D3d7XJfr6QCFJsz60GvAKVjEWYRAyFbEKVjw2GJcAAOKiPT++xMiIjL+N7fYbakq7TAUaV3LCYLtHuL5MUatP0iwd7mRStUihH21uOYMazKZyE033SSf//znX/K4Bx98UL72ta/J6dOng3133XWXfOMb35CHH35YHnroIXn00UflE5/4xLU2JUaMGDFivIHimjOs2267TW677baXPOYHP/iB3HvvvfJXf/VX8oEPfMDb99RTT8lXv/pVeeKJJ+Sd73yniIh87nOfk9tvv10++9nPtn7BXS0WR1JvplpMzFTo+YWjtS9gpVG472bQsWcT0soaqc4eqUscZn093h0Gm4+EiAGWOl+4becPDa16kJ2w2y6NDWFitnCNviAm2J1HCAAAFMlJREFUq2yWNFOCkeCuq5j//rahdY9VaaIgavxC6eIpK12oluDFsaOBTyd9bx9HSSaM1l5k4u6/HJhzigUt9CuNv8zoIWizOiOiACtNvdgONQc7VDKAdnVoHNEjlCr87+Uxu+/5mdnGWoKJzta+OTrp+qYz/hlpCYLqXpIWG9rJdGg786RZIfThFtvhTJ8qC2R82mzkmSeSQc8Oo2VBHuz9eYLZOBENdkDvdscjI+J7QUPRW6wf4P5MNgH9nrLdGhR/d+70hFLY6XEPL5n3Zk7ZGSj2yAz42pyJzXdMB9ZeCM0pkQlCK5D3MTV+rtkZZ1PIgFkPEFp+vA1t8jUZte1EvEF/PX3BTRANXH+gpMK6gdBJPHxTRsfpfWl88P7A9ma2445Hf6fHw22elqDG7Ag1ClnsWqgL2KZgwVk2Mquj//4xt+0jRiVjfD1l7VB+2XXPZaT7+6Qug+NYEzGbN9IULQ25SvzQ17Dqupa7775bfuVXfkXe8Y53BPsfe+wx2d7etl9WIiK33nqrpGkqjz/+eHC8iMhisZDDw0PvX4wYMWLEeGPFD/0L67d/+7clyzL5xV/8xdb958+flxMnTnjbsiyTnZ0dOX/+fOs5n/70p2Vra8v+O3PmzA+72TFixIgR4zUeP9Q6rLNnz8r9998v586dk6SNCfD3jE9+8pNy33332f8fHh7KmTNnJJs1UntWFGHFtG0F6y0qHMKJaAOyAJc/4GRePNbV0YRrmew2dy4IButUI9QmKptnodilbR+RD1J7bpg+Awpk4kTVwjRoOxfkh5ogRru23HY8hSWe8K1wCo+ZvmUNbcP4pS3uvilDgrkKfyr+1Sd8ttQF5y4p06LJGbEPbE3TmIkgeGZU3zTDNdw2QC9MugDs5jkOt7gGAw7y1DSWYZ0P6nt4/Rxttf2ZcTtD2Mpd110DRAS+F9QsuJYJEJq3qA9iA70C9h683q5t7xOpwO1kKFTPJWhTzbY9uBPjB9gMQrEiIkkV2qX0dIy5/gzt861EzE+upwPc60HA+l5wzR7eh4Y+uKkSNZi8gnv09+nZJmgL1XUpKSObh+8UgtuOWrecBWpQV0Ztt07YtPyBd4qfWd3yVx/3488DCBaAAUVE1v/YCObWHyVrEn1/+J3CGPDYLlR8pkvQajat/+HEb//2b/9WLly4IDfeeKNkWSZZlskzzzwjv/zLvyxvfvObRUTk1KlTcuHCBe+8sixld3dXTp061XrdXq8nm5ub3r8YMWLEiPHGih9qhnX33XfLrbfe6m376Z/+abn77rvlYx/7mIiI3HLLLbK/vy9nz56Vn/iJnxARkUceeUTqupZ3v/vd13S/pLqiEl+tQU73Duw2SznvsTWA+YYfDEnpoiWbgErGQc/R7TGbr4mcsb1u1CzOD52axokNo8hwghQXXhyaKUZF1PANtRe5RNdDS/IN177T66ZPz4shGgxI6WJRKGGEsqRKx2Jn6Ojde/pzTNmhraInCnuuWRfT1Qeq+rHo0aKsKl101ty0HgoXNFGTVA0jc7JzKXQWWJAZYDI016lI9xFZ5mm1aXlL5p7t6aH5fYOYAY+p0sWb1y/bbT8o3yIi/mwUC701mzqCBk5tqrqw3iDSwxCLzGGW1KHjHA2bxlt3e9Rs6L2xhYlmH8PLZmNBNhaYDWceOQTXYKq79quFcs5kBszWWSvPagnSX4iBKiN0KEuBHQgBCZYu3mW1hia8BzIW1qXDLB0/yxb9wmKNMnCospTh55f1Hy1hgg5bKiU/T8Nz+XpVHrYBWRcrUlgdQKK14x6sDIGx5awHf36gD8nPZ6qWMIPL7oT5ETOO/T0iS/WQMdLfOr0/b4P5omcRshW2E9R1Jlggs9r8z86a5NK/NeSMJf0xxrPnMoZckQG2jJmcyqViwtnLxDV/YY3HY3n66aft/7/73e/Kk08+KTs7O3LjjTfK0aNHvePzPJdTp07Jj/3Yj4mIyNve9jZ5//vfLx//+MflC1/4ghRFIffcc4/ceeed18QQjBEjRowYb6y4Zkjw61//utx8881y8803i4jIfffdJzfffLP8+q//+iu+xgMPPCBvfetb5X3ve5/cfvvt8pM/+ZPyB3/wB9falBgxYsSI8QaKpGmaMB9+jcfh4aFsbW3JOz7+76Q67tx7p282kNOb3+LWyL73PcNIzHZdMpmPTJo6P+nSaSz+c31Vedxcb/0pVzfQ3GJgqPp/uVqv2VsMHtJ/xtU6FD9qoLhTRx2EdX7XrL3VlAKnWv+UPuPgREBDVZ8ezXXmHo1m7AlNNaoxWA2u7dmh1omcclhNo5YjPBbVIFSXSHAdXlxXYVomU/SfN5Dg4ki4uM22Iai1mh8j91rd37/kjpudAMxCz0DFcXduuigiIne96Qm774FnTFU+k0l2z5nnvf5PHCRY/o9j2g4mSUgQIDMwwQIwIcNQgJW4vgmkAs9aogXpwDkMtQFJaTseXfNqrrTtJbUJgrgMM6G/vKBvr0fdAcSZTQli1Feez2Xih207FvV5PPGY6R6oZeIxA2Tp14mZk3Ir8Ov24R5sqwIyQ+HKDa3dBY8Fnhnbr1jVCx4L/XOSO81qCxF7BB29hycqi+PoHlahhMkr+q4kLc9qdkyhucPwWSQe2UW3ecwxCQICwCzKjHGsqVwLY+YpsOgpeCYirk6torKuY180dVq7H3OKGAiGredHFJ5kV+5pI9VyLuf++FNycHDwsvyEqCUYI0aMGDFWIlbaXqRTNCJL2qBkipNDspbYNt/Yi7kTiLNGcER0qPHdTT4AmRIXqp6bily3aa79vSPOIDBTS5JinRYs1a5ju+9IDwcDM31bpG7Y14dmerm35e4BE8Imd20ZDkxHl5qdDfqOwDAqTN/SnCww0jZiiZrJbdGUUqnp2Zq7HhZBG8o2OyBEkPkjMsCG7ouZHwwkRcROA22WJiKVTp2X1JZK7VlSjzxizsU4Hs9c0fhWz0wL84677kUdxu2BI2LsLUCpdk3CrJpnlMiOBnsh9TljokHLTHGxjdm1u15qDRTdNmQTOWUzWLhnijQyG0tCaKElc9txvYKyD9w/p9k1spP+PtdvqN4dUbltO2h2be01WrIFVpoAxZ01AkEI8DT/lHTBWn7WRBJkIBqnUoknrKiA940VU3BujyjxUKbgccysCSO95/qOMCGhSa9uullRRo12MckGZAfOVDHOvtGiPpc9pYPTu9XgVaYughxRDkLCCpNNrMJIi5pE7v40WV1DtghBm3m87T0o5UdmtfMfnSLG/t23BP1Ahs7b8lkjyT+k0kWMGDFixIjxakT8wooRI0aMGCsRKw0J9vZqmTvug4Xwzgz27LZvZKYYeU7wWqUwWL7pMKJCBWQTqsnY3DArr+OBI0TkiinwYvBQYb1R7gggxzdNHdaNa64thwuz/yBxxx3ROqm9roMYbZkWuR9fv2XIGxcn6jjcpTqsoQryMi9As/iddbd6vCsGOpzzirt2N8tDpYKk76AAQJfzrsOh5lMzCAnVYTVaX1VRLVMNdYV+WK9VzwgWgeMwKV00CtG+aX1XRET+af85u+/htX0R8e1FnsrfJCIiP7J50W47u7xeRHy1ga7WmEyPuY9AX5UeZjvu4ULQlKGfNtUE1BcxbIRzuc4Ii9BMurAiuly7BvfaGVQW3D5AKykrGuhjgboGX8N3DdZbkXsuCA7cRwRDWYARuS2os+HaIyhwcB1WtggJCaiBY8sPQIaOEEH31zowHk/rCE0kCahpcM0X2ueTJLRuitoJ1ZoOw1S6n7fhHjVBkai54nop2K8wrAYokKHaRmFz9G1wKay54vHEcQyxAjIcXiB7ERWzZcUQHhfbphzEG3cPED9GVIcFBQuvLTqOgAFFRLb/0MCD0w+52lrAqAw9L7ZSqVrUbq4WMcOKESNGjBgrESudYTWpeLPSSmecE1rltgaOvBi+UFuMgmYauo3p3fOlZl2sQNCEhnVQruBto7lpw4W5U8mYl2a4SyIVjBba1jK0P2mIuz4uDJsABoqzwj26Un9nLcF6brZNly4jghJG02KYVpH6RQ3qOonbLfQexZIM9WY6jus85U68PpjjzO+lNzU3P1hnD2PAOo2QzJipWNw+cXEnyoteULoCTcjLC+I5wxCT1AuwCM/EBat8QAv9oLWntA2L8DwbTcpQEcMZ1rlNUA+o+i3qCZR9YPEbi/asY4fjGuoiMg1eNAflOSdSg1VIuOwGfn7UDEKX9ACxmO9R/JGx0ba2/mD2zQv9aREqH+Cz29/ljAAWMzqT33f7YETJi/bIxJjejRIEzpzQn2zm+tjTDIKVO2odv6RF6zElinZbILNCViUi0gXBgkkX2qeanpW1F/HMJE0gs6yJpIF3NJu4/uB6TMQAFZ/HHQSifETPew3GjPQs1HyRLUKQJXnXg4YhPRdkVsMHnQPH5MNmG2f83XEt5T+UlmCMGDFixIjxakX8wooRI0aMGCsRKw0J1nni16Loov7xrqvDsjU6RCCA+O3auiuxnymU1Om449b6hpSxR3U0vY6m86RCsaE1P5M1h9Fs6bat3NUDrXXN9RgS7Gr7kr5Lzy3ktO5gm+tV/PbbhdFq7JJYbaYCvzWpUKBuaovqkQBdwlFYRKTWWqtOx/Uny8x9rXAw/b6g++6vG0iuOyRR2zlcaal2Y2mOG6y58Z6WcJYlWFbr4iqqYwFEe6MSac6QLMKx7sRct+PIMyBuQCxXROTbCqV4dS96WyYaWKiCUKtiGJIpUHPV3wtrf/hc3K90nB0LF7FbMWBRhhPneo8qb3Ec7odut8UghCQBcXZoPEGI6BC0C+R3cpKg1Y7/U0QkaUBSoHuoay7DPBCLZZdmqzRBm5zIMLXF2r6Yn8XQfcABrXKbAAky2oyx4jowq+6QhQK/CZEQAK0uiHgDxLlLMBj64ZFnNrUtnAasSxBFi6CvXbnQZ8qkGKv+wTVp+t6yJY0Ht6KdcKKmejqMe59dmnOMN71Uib9PxFmEMGEEdYmshALoEDCgiMjanxp4cPRzzpqkHCTXJH4bM6wYMWLEiLESsdIZVjZrZMkS/Trt6SUuM+gr/Zvp6laPLwlngDwFZAUFxHqumn6cQViBNnccMrGTPafM8NxkW0REOtQWKDi8kDl+PhsdXnmPgWY6mz2XOR1ODU0+o6e5VLotmxviGkzOENCSKZsCOaNmA760ZWEUbGxqb6oZUTWlmazqFdY1T8N1NkqZXarU+sYTkGu8tnSIfNDT1KTHbBdtS05MB2QETEtONFErB/S8oUtHJBJrglhwhqPkFZoFW61BegdAZW7T8uu4x+eRLex9VYUAs2q+fz4ptZ1s1YGLuWt0NFvwdP4aqIlwqiO6jdpUhVkKqNacQQANYEJL0gflOlRIYMJGUoXzZYyFR165Yl/ZD0kFTKuveql3PPcNJBERkcVWC1FGo3/AiIeSLijL7cxBNqH3HLp9nhUNso+QAMLEl8URJTXpZ6S/R+SHxuwbvujQhfFpA/tw5o3n7JmDavMy6nfVNVkUv1PIVHtEcsHYjq93WRfMF9kiZLmRB20BdZ3fFWRWG3/krEkO7nqPtfp5JREzrBgxYsSIsRIRv7BixIgRI8ZKxEpDgiwWKiKyGJk0+cnDG+y2y/tm1TPZd4u32dykv2MqZEknJncuqQ7rgqbnsCMREXlutG22kUXHxQ2zEtnddfDA9y7tiIgPpT23b2C/guq/5lrf1Oy5tBtCnkxI+L/960REZLkwxx/0yVblwKzqJxnBdiPT32c6R+ym5dxsa8b02HUIx6Sa0KAmjIv9Vbi3puPyfR2zhWMVQFAY9iYiTnR2PnDsFYx3/5K73lShinwUiqY+uW+e6f9ccyaf/2ffKFjkhGV19L7nds/YbU6MlJQhOv5PEbdo3SfxW7toTeQM8D6YxMFEBAQIDkwIwPUYnrRCqnQ9536ceseIOJiHbTasHQfBlLZrHkQEAgqJnEL095KDeYqNkGyCGi5GbK3oLhEJrNUKQXf4qDH8tlDh481nHDQ2PamWNToWrBrBoq4IwF/zbdcowK5t4reMUcGtl+umEDXDvcMQ9uwModLhzkHfZsdCEsfkpNu2dl5VVk4QoeQKS5YZKbCAzDC6gT4/+qj4nUEsN4gwAvsX2mb7QaeiFq5Yc8dhvPmZofZwcor+nk59VRYRcjAeMxRqbnhwlyNdbD3wNSkbLsZ86VjJLyxYeFXFXCqSRqln5i9jMXGssXpqFgvqOWHnc8gCEbg/x4eRsPip+ctULejDPVno9WgRQu+RkLU7tuF4EZFKr8d/9KtKiwJnXMGq7eNCUpy7UNX0mmSOtIDX+8LSAslq6tpZL3QNYhZ+YSVC8kotX1hJo+2kAuda1yhqOrCpdNuc/qot0U56MZVNyGNba5trGsdanzXGccrFjrotoS8sPBdv3JdmG69B2C8s6iO+WJMi/MKq6A8YfueCx2oZjlkDZho9FpxT0VocMHxvG5ZF9V4ezo82kaQN+sZfWI3+YeJzbTt5W4L+uHcARfVem/RLtOG1LrQ9DfvDrFVbuN/SlrJkpwB9RxO0g9ZeipYvFu1jRcXw+MLyzgUTreB1NV1jbLmux3rUazf8xa9D5bkJFmFb7PP2tkGCjG6izap1vBteY7TXpb912rW29c+qE07MGvpT1+g5/J5LibGgNTn0m9d+bX9o/bTE9fjZtn1GOsH1yqaQUszzfyXWjCtp4Pjcc8/JmTNnXv7AGDFixIixEvHss8/KDTfc8JLHrOQXVl3X8s1vflPe/va3y7PPPvuyLpWv5Tg8PJQzZ87EfrwG4vXQB5HXRz9eD30Qif14JdE0jYxGIzl9+rSk6UvTKlYSEkzTVK6/3qxfbG5urvSLgIj9eO3E66EPIq+Pfrwe+iAS+/FysbW19fIHSWQJxogRI0aMFYn4hRUjRowYMVYiVvYLq9fryW/8xm9Ir9d7+YNfwxH78dqJ10MfRF4f/Xg99EEk9uOHHStJuogRI0aMGG+8WNkMK0aMGDFivLEifmHFiBEjRoyViPiFFSNGjBgxViLiF1aMGDFixFiJiF9YMWLEiBFjJSJ+YcWIESNGjJWI+IUVI0aMGDFWIuIXVowYMWLEWIn4f2o8uMohGzI1AAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"flattened_ect = ect_arr.reshape(len(file_names), num_dirs * num_thresh)\n",
"D = distance_matrix(flattened_ect, flattened_ect)\n",
"plt.matshow(D)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" For visualization purposes, we can project this data into 2D using Multi Dimensional Scaling (MDS). Here we plot each figure at the MDS coordinates."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"n_components = 2 # select number of components\n",
"mds = MDS(\n",
" n_components=n_components, # initialize MDS\n",
" dissimilarity=\"precomputed\", # we have precomputed the distance matrix\n",
" normalized_stress=\"auto\",\n",
" random_state=5, # select random state for reproducibility\n",
")\n",
"MDS_scores = mds.fit_transform(D) # get MDS scores\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, \"MDS of Matisse's Leaves via ECT distances\")"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# read in color hexcodes\n",
"col_df = pd.read_csv(colors_path, header=None)\n",
"\n",
"scale_val = 6 # set scale value\n",
"plt.figure(figsize=(5, 5)) # set figure dimensions\n",
"\n",
"for i in range(len(file_names)): # for each leaf\n",
" shape = np.loadtxt(data_dir + file_names[i]) # get the current shape\n",
" shape = shape - np.mean(shape, axis=0) # zero center shape\n",
" shape = (\n",
" scale_val * shape / max(np.linalg.norm(shape, axis=1))\n",
" ) # scale to radius 1 then mult by scale_val\n",
"\n",
" trans_sh = shape + MDS_scores[i] # translate shape to MDS position\n",
"\n",
" plt.fill(trans_sh[:, 0], trans_sh[:, 1], c=col_df[0][i], lw=0) # plot shape\n",
" plt.gca().set_aspect(\"equal\")\n",
"\n",
"plt.title(\"MDS of Matisse's Leaves via ECT distances\")\n",
"# plt.savefig(\"Matisse_MDS.png\", bbox_inches = 'tight', dpi=300)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Acknowledgements\n",
"\n",
"\n",
"\n",
" This notebook was written by [Liz Munch](https://elizabethmunch.com/) based on [original code](https://github.com/DanChitwood/matisse_test) from [Dan Chitwood](https://www.canr.msu.edu/people/dr_dan_chitwood)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "base",
"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": "3.11.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}