{ "cells": [ { "cell_type": "markdown", "id": "supp-title", "metadata": {}, "source": [ "# Supplement 1: Nonlinear curve fitting" ] }, { "cell_type": "code", "execution_count": 1, "id": "48b1b918-f112-49e1-a934-79797b3335e6", "metadata": {}, "outputs": [], "source": [ "import scanpy as sc\n", "import numpy as np\n", "import pandas as pd\n", "from sklearn.preprocessing import PolynomialFeatures\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.metrics import r2_score, mean_squared_error\n", "from matplotlib.colors import LinearSegmentedColormap\n", "import matplotlib.pyplot as plt\n", "import warnings \n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "markdown", "id": "7954ab25-5336-4853-898f-9a6aea462588", "metadata": {}, "source": [ "The data can be accessed from https://db.cngb.org/stomics/zesta/download/." ] }, { "cell_type": "markdown", "id": "dcdc24a1-169b-40d1-bb1a-2972075ceed9", "metadata": {}, "source": [ "Here, we illustrate the procedure for fitting the nonlinear curve that serves as input to STAVAG." ] }, { "cell_type": "code", "execution_count": 2, "id": "17e7bb55-7ca9-4e34-97dc-1965ab43c01a", "metadata": {}, "outputs": [], "source": [ "adata = sc.read_h5ad(r'spatial_sixtime_slice_stereoseq.h5ad')\n", "adata.obsm['spatial'] = np.array(adata.obs.loc[:,['spatial_x', 'spatial_y']])\n", "adata = adata[adata.obs['time']=='24hpf']" ] }, { "cell_type": "code", "execution_count": 3, "id": "77fc1f55-fc5d-4c13-b90e-5cd5d7f21cb8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(1.7, 2))\n", "\n", "sc.pl.embedding(\n", " adata,\n", " basis='spatial',\n", " color='bin_annotation',\n", " s=5,\n", " ax=ax,\n", " show=True\n", ")\n", "\n", "#fig.savefig(\"bin_annotation.svg\", bbox_inches=\"tight\")\n", "plt.close(fig)" ] }, { "cell_type": "code", "execution_count": 4, "id": "86b47765-4187-4ded-9345-410650ce776c", "metadata": {}, "outputs": [], "source": [ "spatial = adata.obs.loc[:,['spatial_x', 'spatial_y']]" ] }, { "cell_type": "code", "execution_count": 5, "id": "f1c70e07-cb65-4f09-a5b2-a6ccbe0f4181", "metadata": {}, "outputs": [], "source": [ "def parametric_curve(t, *coefficients):\n", " \"\"\"\n", " Parametric curve: x = f(t), y = g(t)\n", " Use two polynomials to fit x and y separately\n", " \"\"\"\n", " degree = len(coefficients) // 2\n", " coeffs_x = coefficients[:degree+1]\n", " coeffs_y = coefficients[degree+1:]\n", " \n", " # Construct the polynomial\n", " x_fit = np.polyval(coeffs_x, t)\n", " y_fit = np.polyval(coeffs_y, t)\n", " \n", " return np.column_stack([x_fit, y_fit])" ] }, { "cell_type": "code", "execution_count": 6, "id": "c7bcc59f-66b6-43f0-8227-73983c5a3a24", "metadata": {}, "outputs": [], "source": [ "x = spatial['spatial_x'].values\n", "y = spatial['spatial_y'].values\n", "points = np.column_stack([x, y])\n", "\n", "# Compute the angle from each point to the centroid as parameter t\n", "centroid = [10000, 500]\n", "angles = np.arctan2(points[:, 1] - centroid[1], points[:, 0] - centroid[0])\n", "\n", "# Sort the angles to obtain a continuous parameter t\n", "sort_idx = np.argsort(angles)\n", "t_normalized = np.linspace(0, 1, len(points))" ] }, { "cell_type": "code", "execution_count": 7, "id": "fcb79bee-34c0-4116-a984-2ddc5cf04c2b", "metadata": {}, "outputs": [], "source": [ "degree = 5 # Polynomial degree\n", "\n", "# Fit x(t)\n", "coeffs_x = np.polyfit(t_normalized, x[sort_idx], degree)\n", "# Fit y(t) \n", "coeffs_y = np.polyfit(t_normalized, y[sort_idx], degree)\n", "\n", "# Generate a smooth fitted curve\n", "t_smooth = np.linspace(0, 1, 200)\n", "x_smooth = np.polyval(coeffs_x, t_smooth)\n", "y_smooth = np.polyval(coeffs_y, t_smooth)" ] }, { "cell_type": "code", "execution_count": 8, "id": "b79d0c37-ffcd-4f1f-88c8-2fbffa73c2d8", "metadata": {}, "outputs": [], "source": [ "from scipy.spatial.distance import cdist\n", "def distance_to_curve(points, curve_points):\n", " \"\"\"Compute the minimum distance from each point to the curve points\"\"\"\n", " distances = cdist(points, curve_points)\n", " return np.min(distances, axis=1)\n", "distance_threshold = 500\n", "degree = 5\n", "x = spatial['spatial_x'].values\n", "y = spatial['spatial_y'].values\n", "points = np.column_stack([x, y])\n", "ct = [10000,500]\n", "\n", "\n", "# First fit\n", "centroid = ct\n", "angles = np.arctan2(points[:, 1] - centroid[1], points[:, 0] - centroid[0])\n", "sort_idx = np.argsort(angles)\n", "t_normalized = np.linspace(0, 1, len(points))\n", "\n", "coeffs_x = np.polyfit(t_normalized, x[sort_idx], degree)\n", "coeffs_y = np.polyfit(t_normalized, y[sort_idx], degree)\n", "\n", "# Generate the fitted curve\n", "t_curve = np.linspace(0, 1, 200)\n", "x_curve = np.polyval(coeffs_x, t_curve)\n", "y_curve = np.polyval(coeffs_y, t_curve)\n", "curve_points = np.column_stack([x_curve, y_curve])\n", "\n", "# Compute the distance from each point to the curve\n", "distances = distance_to_curve(points, curve_points)\n", "\n", "# Keep points with distances below the threshold\n", "keep_mask = distances <= distance_threshold\n", "filtered_x = x[keep_mask]\n", "filtered_y = y[keep_mask]\n", "\n", "# Refit using the filtered points\n", "filtered_points = np.column_stack([filtered_x, filtered_y])\n", "centroid_final = ct\n", "angles_final = np.arctan2(filtered_points[:, 1] - centroid_final[1], \n", " filtered_points[:, 0] - centroid_final[0])\n", "sort_idx_final = np.argsort(angles_final)\n", "t_normalized_final = np.linspace(0, 1, len(filtered_points))\n", "\n", "coeffs_x_final = np.polyfit(t_normalized_final, filtered_x[sort_idx_final], degree)\n", "coeffs_y_final = np.polyfit(t_normalized_final, filtered_y[sort_idx_final], degree)\n", "\n", "# Generate the final smooth curve\n", "t_smooth = np.linspace(0, 1, 500)\n", "x_smooth = np.polyval(coeffs_x_final, t_smooth)\n", "y_smooth = np.polyval(coeffs_y_final, t_smooth)\n", "final_curve = np.column_stack([x_smooth, y_smooth])\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "7fd4f7c6-553d-4803-9d96-35927d735e35", "metadata": {}, "outputs": [], "source": [ "points = np.column_stack([x, y])" ] }, { "cell_type": "code", "execution_count": 10, "id": "1a5586ab-69dd-4512-86ed-5d1c5b0a0689", "metadata": {}, "outputs": [], "source": [ "def find_closest_t_for_points(points, curve_points, t_curve):\n", " \"\"\"\n", " Find the t value corresponding to the nearest point on the curve for each point.\n", "\n", " Parameters:\n", " points: Cell point coordinate array (n, 2)\n", " curve_points: Curve point coordinate array (m, 2)\n", " t_curve: Array of parameter t values corresponding to the curve points (m,)\n", "\n", " Returns:\n", " closest_t: t value of the nearest curve point for each point (n,)\n", " closest_distances: Minimum distance from each point to the curve (n,)\n", " closest_curve_points: Coordinates of the nearest curve point for each point (n, 2)\n", " \"\"\"\n", " # Compute the distance matrix from each point to the curve points\n", " distances = cdist(points, curve_points)\n", " \n", " # Find the index of the nearest curve point for each point\n", " closest_indices = np.argmin(distances, axis=1)\n", " \n", " # Get the corresponding t values\n", " closest_t = t_curve[closest_indices]\n", " \n", " # Get the nearest distances\n", " closest_distances = np.min(distances, axis=1)\n", " \n", " # Get the coordinates of the nearest curve points\n", " closest_curve_points = curve_points[closest_indices]\n", " \n", " return closest_t, closest_distances, closest_curve_points" ] }, { "cell_type": "code", "execution_count": 11, "id": "573cb9dc-0abe-457b-a345-5c6a6ae71f02", "metadata": {}, "outputs": [], "source": [ "closest_t_all, distances_all, curve_points_all = find_closest_t_for_points(\n", " points, final_curve, t_smooth\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "id": "8647a598-b300-446d-ab0b-432faaa58879", "metadata": {}, "outputs": [ { "data": { "image/png": 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vkTj/zMAk0OLizWtSat5nGnRPrJLsJR6udPnuC3cOyJaFhYXFngTrsbSw2EXxWvsinmt+nF4vSvwfES+J/rswClbRJWKT8gmNmam5kqpc9zL2ipbU8cTnUBoR2YENM82Q6eHUoZyK8ahJEQYKxXtOH2vW+PTgHE8Krcbg7MUHn6T3PjwJG7pb+NHiexlbNZyVHVuoyVXw3klHM7FmZHpHFhYWuxysx3LwsMTSwmIXxAvb5vK3VT+FkBTFg05Mj6Cn7UctJI4QSBkFpyhPZpZ0DTCuYgJrCiuNsqxocz3oRSRkdn+kJnmMzsHDHKsuSytZPFueNgOS/HmkaWMMRxezEs2l1F+TXt+YneBaJ4mvDAOQPOlxy8r5vic2IP+3rnyavx3/KabU2rXKLSx2B3hSaD9KB29jKMJK4RYWuyAeWH+jvyPMsJU06EEtQohQ4jYl4mT8tFkS/QEsE+W8f+L7MQJZMjyP4dhixEzv3xFJz6UHxlj1kemyeKpvMEXqzvI6Si1oKUlTNZOxA1HcjyZ2awFS4UAMSV4YErn/6uEh6fYK/HrJoxm9W1hYWOw5sB5LC4udjNWdS3li0x10u50MLxtDa6GF1sJGwhhsEfx6TrTMlppLQfddxiOtAdoK7Zw29jRmjJjB7Wvv4D+b5/ljEYEIr5E130sZBcrosrhuWSUMSosmh3RiGMnZSdaXxiN16TqK6japaZTzUmpzP03vrwzHo4h1MiI9DVHb+PxS3/s6b/Myvvj036nIlbGhq4W9a0bx2QPfSkPl0IkWtbDYXWCl8MHDEksLi52ItV2v8afXvo7E08gOKBFVvc0FEw+j/JFKhjb/LS1z+619zhTshfJtxOEaK/1lU0dVjOLw4Yfzn83/IWgS1I8Ipim9p0N5+Hz5Wwbyvt9xfJ5neG7GvEjT15hKKtU5GEE1qt+gT2EK6PHlHyPbelJ1nSQmg32M8QNSBp9a6PKMPtM2t4tHmpaEFp7buoonNizjjlM+S315dcpZWVhY7Cy4OFqw32BtDE1YKdzCYifiqS0PBCQxoDRagA1E/jSJLylHUdyaCJsmDYe1kjK2KZ0rG154sN1tCWts6d1cYqlFs5+wLMv7SPAHRzNSaklH33IWXU16GnUbApG0rY241OSC+JrlGbVS2mlkWET5MbOWuPSQbO5t47ZXX+irMwsLC4vdBtZjaWGxE7CyYzEPrr+OjT2rgCI6UUqLVNZl3jhEEKTjBVHQeiCLmicYJRqXpP2e9Hv3kDh0FnvD8l6vN/Bymr1HgTIp8y6FLkWnSfWlZjuadqIpnH50d5qXUR9JX3wwfdzSSLKePB6NJ51w+gFS/a9v4nevP8LDm16kq1igtdDNUaMn8f8OPYv68qq+G1tYWLwhkDsgeCc9J++eD0ssLSzeZGzoXslfV3wTV7pE1MuPns6SgA1pNy77BgxGeQOlhJzwPWLKni41+42ieZEmEfUYG0jhABOqJvikMhhK6BlEImPpjtI4nyNkMFbNX6j+EdmyfeSB9DVmgT5fKT1Vkk4M41HmpT2UaXMo+5pWED9Zs10c4Tg1LV7Z6/R6ebF5bdj6gTWLWNe5jRtP+FgYyGRhYfHmws6xHDysFG5h8SZj8bYn8GSUtEZJtsrrZYq1UdZKnyzJyOsmwOChJeTliHBFB5RXUfduCgQtxU3hWNd3r4/sG7YV8ZXh3Mw4edNzW+pSuAicmGYEdVK6Dkcc7pteXdCDY+LkVSeVIqwTzY3UZ1uatsN2xucRj2DXzzbGGFOgd6cT4HCpTa17D8lzW1ezuqM51ZaFhYXFrgzrsbSweJOwvP157lrzc1qLW7TSiIg4wpej3YBsGJ7EsI5PLD0EDmo9HtNOX/ApYcR04hJyTzGRtpw4bVRzFqMcmgP/Zd5fqbgvxHN0plSI1iyS6XXi40gmVU/aRCQJbimb8WP6NIG0umf881ec0LAf/zPjnYyosME9FhZvJlzp4MrtDN7ZAX/fdkdYj6WFxZuA5t4m/rbyu7QWt4ZlItKFAZ9Ygh8BrkvXIakM9nNC+lHiqOPScIPpwSdqXw+GCSllSh5JhKShsiF8O65yHGGUs2Fbj2DPjnaJoqUDyV0NU6uuaGF83OGI9X500Trm/dPHp5PMaBqBiEnLabMyBVKK8LNIu5YE9ozysK05PnU8m4DKRFl4DlIyZ8NrfHnB7fFGFhYWbzA8BB7Odm5WCrewsNhB8KTLtt4mut12il6BxS1P4MoCOuVJk1UjoidD4qTqm7XNCHGENORl5UVMl5dNj6Q591LQXNwYHlvTtYZQqjXGFyOlGXMBQ3Ksz/HsQ7aPXwdID7oxCGXifBVpVNlAk4QvOR8yGpM+br2viJRH9Xxyq9oKjRjGibK5rrku1uvQr4OH5D8bX2NNR3NqgJCFhYXFrgYrhVtY7GBs6H6dW1d9i7ZA8s5RRkEWSPu6qVyVUiM5ZnJxaXjf+kJEGdPrCyEpQ+BJL8jRpmK+VX2JW8yF9SucCpJevTSkjz/RP7oUX/qcFDFzA83Zwffixa9HqUjxPketzS9NzruM1SUpt0fzNkvJ61mfhX+kL7lMSjj1wV8yY9QkfjPzQhstbmHxJsAG7wwe1mNpYbED4coi/7fqm7QXo8ALl4KKKCEiaTLaQo9hUhZ1hF4/uRt6NaVObkyvXmpeSSCnrXot1FiEZFTl8LDeiPIRRru4FJ5GnuIStR7NruikiNmIe/gUshIUm57A6Lrq41O9O4lrHo05K+ja8Bar84nNiTTHmvzsdG9n2vmlna9Zz/SmPrdlNd9+7r70AVtYWOxQqDmW27sNRViPpYXFdqDo9dLU/QoCwYiyvVjR+SwdxS0xz5ZECIEjXSS50D/opxiKyI1Ek2mDiYipwSba28jJ5lO2uDfQmOcXej9lmMYH/LmdURohwTYtKnxd1zr0PJaRPY2UZRDXNDIWitJxeV7qZrSxx/IYqdyWiiKq81DnpSiy/ioECKl7ZcOrR+LaqiPaWGXMfmLcMbKYth+3HVL5tM83BuVNdSU83vQaC7esYULNCJa1bqSurJKDh4+1aYksLCx2GVhiaWExSLQVNvF/K79Cc8HPQejHaXvkhS+RumG4jS9B54RAShc9/2OWypwTmgzch2ycC+YiutIjS4RQ5FEnSwA5ZV0ELaUEtyJsNyw/TAv3SSIkT1qESuSpTI5FF5sN36FGGHXbTvAqA+KcSJuU1lbz3urkMiSkmpe1v9MW4+M1j+iv0dhVuRn97tfTUx9l24xsKXLbVuzlgkf/jIPAC4y+ddxUfjXzPZQ5uRRbFhYWg4EXzs/ePhtDEUPTT2thsQPwcNMv2VZoCt/L2AxHR5Oaw3ItICUu2aZRl5zQKZRM7OmOqpyQQZ/p9nRvo18jPXykrqIm3K/J1xBHf8iY1P/VvHpS31LkYd9J6Rd4GkHU/zynSvuaB9Rxgh5k4Mg1GqTL3+mR36ZtVSEMkMogh31dnyznYnYEuvlZ+X1Hnfx7/SvcsOyp0p1aWFgMCF6wVvj2bN4QpVjWY2lhMUD0uB0sb3+KtZ2LkbipdXz5NUaIiJEooeYa+r9rvZh3MoxODiRhnayZyyxqUrMAJ5B94/KtsomMxHi0o8pai5Zns6m7ifiSjroHTphDNsti56Gq6fRbl7912d7zIjKlz3cEyIsyemUxee7aOQjtxMooozusr0OGUdzKRnTEtK0VAvHxpc27zJbYs4hneJ30fgzyql/kaDxSCu5csZgpdaOpypWxom0rk2pHcuyYSVYit7CweNNhiaWFxQDQXtjCLSsvp7WwwaeUSkeGiN0EEqvvtTR9h/Gk4Hq+xCzZN62uTjP11EJInyzpUzVlMKszIoNqXmLUj76kreNGXsqRZSMzpfBoXibGVMho3DHGGeyra+KFxzXPaUikIsYam2ZJkQKOSuuj9aGPUt/vpRCQ4/j4dFIpDDKpQwidSGZ7KBOkMjZu5Xnsy+HrNwvqGTb0i2z2uaS1iUufuMWwc95eh/GTWedYcmlhMQjsmATp/ZB39kAMTT+thcUgMW/TX2gr+MEt2krZkElLtCrE5e90GHKw3jhWJ20/zbJuzxSFk7Ul4GppLnOO7gdU5ygNe1npfkKfaUrgTJyiRfKy6Uk1/bRR27R9Qhvxdpq9lD/0OvGPy9FhWfzcRLY9w65hL9uLGfWTJMkJqzLp/U4bxt1rn+eeV1/JtGRhYZGN7U+ObqVwCwuLEuh2W1m8bTYrOhaEcykFQVBMUCce3a177nzJVRUon10yAEWfKyhDV112Whytx9QIYz2Jun48IWdrdgqiLWy/pWcLOUTgXfTJokpAblBpYZ6LkuWl9BJjinoipH8SkZC/VUWp6doll4EMPYugZrjGrwPSvA4+QSvthYyPVR9LZE/VN23pEeClvJ1efBVN7ZxUX8Z5x72jGbjh9afpcbrZ1ttFS283xzZO4vixU0q2sbCwsNgeWGJpYdEHOovbuHnFZ2grbgo8ahq5QKKE53Q5OPK8OQG7Kca0XZMoKQoSWtUk49JIS8+j7DsAwk9ZI2NzOfVxCiSjK0aFZWMqxoAw47sjr2vcV6qffDQdQIY+QY18Yq7/IwDHAU96eNIxr58kc3qATup1YgoShzA7Zzgs3Svol0XeTMKxJq9LbK2icCxZXkP/EvUte6txZ/phUz76iBhLPRg/Fc81r+TZp1cBkBMOv10yl68d/jYuOfCYPkZmYTG04UqBm6EyDMTGUMTQ9NNaWAwAC5tvp724GZ+SZLmWSkMYW5ocq0vA0Uw8U24n8S4uRaf9GdOXCMwJ3U60r4/PX3rSR6/Xm2rPeJ/WZ+jZ9L26cYFXxmrrdU3foEn8kv348ALCqM5VGMf1fh3tSMxjTDSPVYfyQBtLWBK/DuY65Oa4+/twiU8QSEri0rj9zFRGCdIdk/DdoPEPn/8XXcUCFhYW2djeiHC1DUVYj6WFhYaC18VzW/9Oc+9qanKj8Siyov1JBC7gIYQIvJYmGQRi0cuKFkX+RkUXfSFcF9RNMimEv8xftGa1OWMwSq9uziFMk8J1RPYieTpJcQUtva3hu5ZCSzh6HY5QEctSOyrxMoJgoshwmbhucbdcnBAlVsGJeQZdj9Q+E2cWHk7K9vq+sQY4yTbpCD7vFHvqnFJbqeN9jDkilEnyqdWOzfmM7gudBLtS8sW5dzG1fgzrOlsRwLv2mc7MxskZdi0sLCz6D0ssLSwCuLLAXauvYFP3K5p860P97nSD+ZJAMCdSailhdIkc9NVwvJjkqoikixPOWQQS8qo6oq+O4wSStgjGVQxJrGpoCNfEiYieHkejbMGLpKGyIaw7rmq8cR10IiSELn/rPTpmGzUqAcUY+dUlaH1+YkRcTaR55dQ11qPcY0NKmW4gEuXxVFDxKO/+1c3qUyTaqNdEPsz4rIJYezX3VieLqZ+lTJJKZePhNa/w0JpXApoq+MfyF/nDie/h1AlTkydiYTEE4UkHbzujwr2sX5R7OIamn9bCIgVrOp5lY/fLgS8xJtYK5TmLqGEUGKP7tTy1EyJBFANbkURswlMeyYBg6CQkkmw1qVkJ4kKti92XXB/NzUvI8hK63I7wbWuhJWV8sRNU5VJfaSKFPEqzVZq87MpIUlY+1ax5lboNYmVmXRGMr29JOpxioMZq/r4wzsgn16bntdRzJD5WKcHzBALH9EPGh5m4f7I9lkbjBDmN7MloNwzM+vFzj2cP3sJiiMFK4YPH0DxrCwsNvW4Hczb8hLkbf0yeImnCpJQ+cfIXaUyyDX/xLxl4EQOxVxJIw9HSjmnt1NxNV0akEpKEKQt+DxI1fdIJ54Iqgmz2aXod1fl4obX2YmdYt8vtCseTTLvTzwHG2qZdP8/z5f+4TB2+SjWPMrvfuLjuBdff9eLez2Qfqg2qHdG8TSW3K3tp4zDGmmI77EMqQmlOXVD3l9Q3L9ikMDyXyrZety8Y9UR6P6+3buH9D9/Eo2tf69ughYWFRQasFG4xpOFJl9lrr2RT90vIgNaV4VIgFzKNwB8IGDMBw9mFprQc+Y1crW4klett/WKhtYtRwHBupiGzp83jC8cqQfOASa0/nZxkzQVESBoqxoYjGF+1F8rFFaZEAvxYdZ0w+x5YN5Rko7HGpwGE0eIikr/97rVQpbgMTRJhJLiMJGVTBhfaNdA+OU0ejkfvR6RRXZjoWCTxm7J2f/ajsep3ULSj+7xjPtnYa7pt/R5AkE020z7zoFFBejy5YRXzN6zir299HyeMn5JhxMJiz4fH9kd1Dy7Uc/eHJZYWQxrNvcvZ2L0ofK8euA4STwgcJEWpRxLrxDHFs6n74wQIGU8OHpEuY8UcVN1wJMG/0mgDGnnSPGeRDRXqEyNzQZmH5l0LLEdpgQApaHebw7429WxUJxJen/A0YucjgRwSN3hf3lFg1MZ26pp7qGnrpbq1h2FtPVR19JLv9cgXXXJFSb7g4kkolOUpluUolOUolOdorymnta6S9roqWmor2DpiGJtHD8PLR0Q+9GbqJxa7JhpTTM1ZqV/LNE9kFNCT9PzGI8ON41q9uL1ghIC5xGXcTlRfu84Z5DVtJFnJ603bJtkVwB8XPW2JpcWQxo5IcG4TpFtYDCH0uG38Z8P/srZjPlHUtfZA1/xxSU+iDyV5e0hkEIQjpaKWQUtBzJ0U+g+Jz0QRAnIoAiNTH/w6Ep443ZbRn/rl3b9f33oqGle6xvnrHj0hPWq3djN2eSt7rWhh3MptNK5uZdTGDkZu6KCmPZmqaHvhOoLNY4axqaGWprF1rNp7BK9PGsPySaNYP7YemTO9qOnQo6dFKEPrZD7Ny6k+C53MpeWg1O3FvYJx9EPFNuunkco4WY55e0NvtuatLGVfAv/ZuJyT7vwdXzvyrZy+tw3osbCw6D8ssbQYkvj3+m+wvvNZVNIfh4AgSpNc+vAIKB86zfQ5owgVUymj6G1HSD8COvAGIiKSoerk8Sgq+ioj2Tsp05okyJdVdXectq40mt9LedtQZCnd6xXK1RIQkkZdCq8c77fzJCM2dDBpyVamvLSJyUu2MOnlrQxr7RnAVd9+5DxJ44Y2Gje0Me3Fdcax7oo8r+47hpcOGs9LB45l0UHj2dBQR/TzQH16yeugR/qnSfXGUpMpMrJC1lxI9aPDkMITrDIYl9TuNMPbmnJBpNBvyWTd2OdsNJXZ710pWdW2jU89djv/d9oHeEvjxJTOLSz2XOyYtcKtx9LCYkigx21lXeeC8L16LivS4WlEwUGSE35yaRknlQSkDEB6COH/EdHldFdEf1jSAjtC+Ttgp37eS0VK1Oo1gZwehIl7UoAQ/oo0EI7JE8GcQhnN+9T7ITi/0POG8lAFZyMA6bDN3egfWLaM/F3X8Yl/PsbUZzcwfHNXv65vocxha0MNmxuGsaVhGNtGVtFeW0lHXQXttRV0DiuntzxHIe9QLMtTzPkr7Ti9HvmCv5X3FKlp72VYaze1rT3UtnYzanMHDRtaGbOhjeEt3Yl+K3uKTHtpPdNeWh+WbRxTy9NH7M3TR07m6cMns3V4DZHHMpLwwfTo6U5mnVTGvX5xaT0t9VB6OqLoB4lBIFUqIa0sjVDqgTiG1J+WoykFhm1D0o/J4lJww5LnOaphQolodAuLPQ8ewngWDNbGUIQllhZDDoJcSpn/QPdTAJkPZyEhL/wnsKt5v3zPUhABLgQyJIX9/2OiwkE89PyYUiOX4GjkU8ooGZIQIhy3IqCekt/j/QjlqSMQ4qNMnaq8oq3AAfM2MGvea/DUd2H9eqaXGHvLyEpW7z+StZPqWTd5BOsmD2f93vW0jKzCFQJX5tXpJOb6hX1rCdWlNCV7KTGvd2gLyjpcxq3bxqSVW5m0YiuTV2xhn9c2sdf6FqOfhk1tnP3QYs5+aDEAr+zbwGOzpvKvWVN5bdIYEKU9CnoeO9N7KI2y/nOu9IppwUSl6qcha9pEci5o0nZq2+D+vnvVYv518zJ+OPNMzp58YL/HY2FhMTQxYGL5+OOP87//+78888wzrF+/njvuuIPzzz8/PJ71q/ZHP/oRX/7ylwE4+eSTeeyxx4zjF154ITfffHP4vrm5mcsuu4y7774bgPPOO49f/epXDB8+fKBDtrAwUOZUU+7U0OupfI36xLWkDBqfCafL36D8S5EBJWerlWlULZ2FxAmEkuLD/o3FHDV5XvgBMmmOqUC0BY04R1HSoUAeBrwA1G/s5NBH1nDI4+vY95lN5IvpcYzd1XlenT6GFYeMZsVBo1lx8CiaR1eDEPR6udC2OmMRP/eYnK9VN+TpnFrPPCXIRp8G0FNdxor9xvD6vmM0uRrqtnVz4MtNHLR0PdMWr+fQRWup6C2GNqa+tpGpr23k0hvmsGr8CP513AHcf+p0lk8cbaTw8e1F484K+gFT7jauucTwVmZKzzGPZql9U1qPLmtsGm9QaHpj40nfTdk+PjjzbXuhl88/fjeTa0dwyKjG+CWwsNjjYKXwwWPAxLKjo4PDDjuMj370o7z73e9OHF+/fr3x/oEHHuCSSy5J1L300kv57ne/G76vqqoyjl900UWsWbOG2bNnA/CJT3yCiy++mHvuuWegQ7awCOHJIpu7FlH0WvH9faZHzCCMauWc4AHtBPTH01ecAXR5XJeYneCYp0vNxMmeSUtDh6P0l13MIlgO0og4jOZTxqLCQ24cnWf1th4O/ecaDn9gFfs8uwknTT2tqYHjj2fJjAbu3H8LKw8cSTHvRPp/7AoY1zB4dfDwNCIb8ZjIS6mTsWQUt/9G93h6ngj31VxINLLVMrya+cfuw/xj9wWgvLfIQS+u46hnV3HMM8s58NUNoeW91zXzkVvn85Fb57N46jjufdt0HjzpYFprqxKe0+R5RiQ6nJMpI09scJoxUmlK7yGhDNlfnMCWWCJSCxrybaQQ3xhfTBDW1POKDRC9WHLva8sssbQYEtgRCc6HaoL0ARPLM888kzPPPDPz+NixY433d911F6eccgr77LOPUV5dXZ2oq7BkyRJmz57N/PnzOeaYYwD44x//yMyZM1m6dCkHHHDAQIdtYUFHYQP/XHsZrYWV5AJp2JMCLyaN+9RFJfqROJqLL49ESpciORQp1MlRGE8ckM8cMpCyBYp0ukSkUofvtfSP+QE+PmPJBbbDFW9SHEyocaSRRMApeBz0xHqOuWM5B8xrIldMVtwyrprFJ+5F69vO4pwP/RAqKli74UGWr/6bfnEMmAFGGnESwcpCMhDdRSR1l0qBo2wq4qmmCrhG53Fir9ol1ynvLc+z4PBJLDh8Mr/72Ek0bGzlxLnLOOk/r3DEotXkAtfvIa+s55BX1vOFa//F7JMP4e/nHMXSfdL/PqWOOYWExgN50iCESRK1Iynnp3YGNt1C/zEQ2unH2NLM4A7NB6WFhUX/8YbOsdywYQP33Xcff/nLXxLHbrrpJm688UYaGxs588wz+da3vkVtbS0A8+bNo76+PiSVAMceeyz19fXMnTs3lVj29PTQ0xNFqLa2tr4BZ2SxO2NO07dpK6yJlaZpiD4iGpMkMnncgJCm+e2kwX1CidXoM84CRWoy3TBwB20OpUHmtJqh/ByIyxJGrO3kLXes4Ki7VlC/KRnwsnFSLc+evjcL3zaB9fsNByE4tnYmVFQAMLxsuNkg0rkxiZ5PAaVOLrU2mlPOOJoWJZ1GPB2ioCr9ypneweDctTmqifNtqOPWd8zg1nfMoL65i9P/vZiz/7mIA173PZmVvUXOf+h5zn/oeZ49eCI3nn8M/z72gFiy+2jcmlgeTpHwtA/SIJpklKfefpE9w2Np2M4i2PESEd2SQitTo0qNLI+P2K+/d1192mAtLPY4+KtsDeAHXIaNoYg3lFj+5S9/oba2lne9611G+Qc+8AGmTJnC2LFjWbRoEVdddRXPP/88Dz/8MABNTU00NDQk7DU0NNDU1JTa19VXX813vvOdHX8SFrs9il43G7sWsrnnBSRF0AiKHhyT5kVMe95GCcbNB3vkMRSGGT2yO3y4K6k77MGUWJU9IzhEEa/AvCM9YwlI1dqRLvs8tYXjb1jG1DkbElL3tsYqFp6+N8+esTerDhiBFJoNKWh1N4V113WtM2xHfycjqT2gsTGyZ56H+iOthH+dEIbXyLj0adfVvCbhmIL2jvCXXlSIJHSRsCclNA+v5u/nH80t5x/L5OVNvOOh5znv4RcZ1un/QD3ypdUc+dJqXps4mj9dcByzjz8ENxdF/kcdReeTJJX6+WZ5NU35W4c+N9Jz9ePaPZPhpQ7t6RxS//Wi9y3j5TEbwcu/1y/jLXs1st/w0aU6tbDY7eHtACncJkh/A3DdddfxgQ98gMrKSqP80ksvDfenTZvG/vvvz1FHHcWzzz7LkUceCZAaBKSnUYnjqquu4oorrgjft7a2MnGizb021NFZ3Mg/13yK9uJan3QRBMnotFCRIyn7nR7CSA8j4oQhRjgDb5uiNxLwRHQsktBNkhknIFI7Go47jBIX5Ioe0x9cy6y/vMr4pS3GeN2c4KWTxjP/3fvwyrGNSEeAEOSD8y6GJEMi3Gi+c22+VjuP6Ozi4xL4xE55SnXpWhKLrjasZSH7OmS2COZfpnpNU+xJqVZUl7w6pZGffPI0fvOhkzn7Xy9ywT3PsO+qzQDsu3ozV//kLj5z02P87v0nct+J0/By0fSJcPUfzW6EUucZeST92yjFe6tew7yl+i+WEqbT+tbl7z7bprd/aM1SHl6zlK8ddQqXTju6P0YsLCyGGN4wYvnEE0+wdOlSbrnllj7rHnnkkZSVlbFs2TKOPPJIxo4dy4YNGxL1Nm3aRGNj+sTxiooKKgL5zsJC4ZlNP6OjaHq5dS+k8rZpvq9YzYFBeUA9oxcl5fpIe6b7K/2ogBzlAosCgVS7+IgEkO8uMuO21Rx//TLqN5pyd/P4ap5692SePG8SrWOGRQdig3BEEGkuBMPKox+ClTkzqE71qU8PUAnfDXuadO335eGH8yjZXBtKSKxIRLuHEdramevXRK+vCHY4znBcSiLXJHSZPvWgs7KcW8+awa1nHsnMBa/z8f/7D0e85E+fmNi0je//7G4+dMd8fvHht/HEEfsSrbhkjJqI/mvTA0p4BVXOUnPcqm7Sk94/yJCwRp5R/edJono/rcL3F/ybkyfsw/7Wc2mxh8KTjvGDeLA2hiLeMGJ57bXXMmPGDA477LA+6y5evJhCocC4ceMAmDlzJi0tLTz11FMcfbT/q/jJJ5+kpaWFWbNmvVFDttgDsa13GVKbIWeu1axeZfD4L+VpMp+6IsxuHZNsgZyQIN3EPL8o+XmsXHkvpYo8D12oBG7JYMyO0dLpcTnytlUcf+0y6jaZK+CsmTacJz60Py+9bTxe3qEgRdC/k356YZGkzd0Slm3q2YATxHfrzQwpOyZjx4OIovcyQUr1464HMk46wZD7w7ohSRQhSUxOK4jqKy+iT0r1aPs0ZcSX7efM2J85R+7HjEWr+MQtT3Ds8ysAOGDFRn7znb/z1LRJfP/jZ7BsUiO699EcvZns3PAaEpFqHZ4X3ae+p7L/pNKMGvcvgHT1Gv21lUE8tbG+um2LJZYWeyxcRJBHd/tsDEUMmFi2t7fz6quvhu+XL1/OwoULGTlyJHvvvTfgy9C33norP/nJTxLtX3vtNW666SbOOussRo8ezUsvvcSXvvQljjjiCI477jgADjroIM444wwuvfRSfv/73wN+uqFzzjnHRoRbDAiVuVG0FVaH77Me/IJIIo9DjxJXzfT04tE8Nek7xqSyqYihfygvPDxJatAPQR+CaL5nNCZFkDw8HJyC5Mh/rOL4Py6jLuahXHLyWP7z4f1YeeQoPMx0Rf6YAnIrfUeYJ6PzUiQs50by9+iKhpBU6lct61qq8rhzTgTEyw09Z0nkHHC9iOBLZGKOUjQlILjCUnmJoRieJbE2unwcWBfBBUgZtzHhXgiemT6JT0ybxNHPr+DyvzzCtFf9lGpHL1rJP674AzeddTS/ft/JtNeYU36SA0mOLz3PpZ+APZK/s2xlHAr7US7gfjzcYoQ3FeEPBH9nYu3wvu1aWFgMOQyYWC5YsIBTTjklfK/mNX74wx/m+uuvB+Dmm29GSsn73//+RPvy8nIeeeQRfvGLX9De3s7EiRM5++yz+da3vkVOm7d00003cdlll3HaaacBfoL0a665ZqDDtRjq0CYB6pKyVgHTG6bL4v5r3LelHJWOlEk5VUstpEN59JygnWtY861HuShlcMRPO+QFw3Lw2P9fGzj1py8zamWHYf+lU8fx2Kemsm7/4SBEIBGbidzDflSvRvR05NEraBEox4yayeNN/+H17pd0Rdk4v8gTGl1LY65qzKOZhuj6yNCrmNkk7g3VzqC0mqtf4wzTGQakhKcOm8L7f3wJp855mS/e+Ah7NzWT9yQfvvdJzp6ziKs/ejr3Hz8NQwbPmBeeTFieIoGnDoR0Z6J+jQ0bO8Bjon8lNLueTE+mb2GxJ8BK4YOHkLLPP2W7JVpbW6mvr6elpYW6urqdPRyLNxkdhXW83noHS1tup9drD8vj3jTQBVoR5kLUhfF45LWCK/2oPz0NDjJaY9Z8FkdeMX0N2ijq0LSv1qdWUnDjSy287YcvM2nBVqPey6eM5dHPHEDTgfWGxy1ObgtSEJ/b6Elw48tbSsE+5cfw+UMuD4vaC238+dW/sKxzCZ2y3ayPCFfK8ft2ArLtRNdaRtGRft7Q5PX0ZCRB68S113MSdV0PXGmOW/Xlr3QRq+8KPOloFN5HMZheYIzDSz4MwvmcnvoMBWW9RT561zw+cdsTVGkr+zx89IF8+xNns3lEXTSukH+JhM308qCftPyWKX+tDY+nal/CM5yJtNQoGRI+wEnjp/COfQ/mnfsebNcRt9ih2JnPb9X3N588lcphZdtlq7u9wHeP+eeQ4yF2rXCLPQ5tvat4ZM3FFGQXxdgDURB5dkySGXgnhe6cURXVPxoBwKckDh4uIpwbqOypgJbIiRQIwgH7dAIZ1whyURa0+YBVzb2c9NNXOPSONVH6SGDljJE8eOUhrJs2IjqDwOOqkr+70onN89TPIe6GispHV0SpvrrdLn7yynfZ2NNEUZpzPAXgabkUFV3MAS6R5zZKtKRqpgfvuDFik5p8PSRR+vX0z92NETE9wMeU5oPzllr6J+L3g3aewiec4bUUUKgo4/fvPZF7TjqUr177IKc+9TIAb3/qZd7y0gq+d8nZ3HP89MB45MGMWU4/34xx6IXx9Ew+qdTv137K3yKom5y7EOs3SXAfW7ecR9cu54VN6/n2zFP77s/CwmJIYGj6aS32aLy87XoKsgvfH+fGjiaFcIUoy2IE5TmMQyeouVC6JuIQwfEo56XeXyS9x6mff9RnWtPuWMPHz3mCw26PSOXWvau59RczuPH6Y2maVm+cgVDEWKjUP8E5pJ6ZLzun/QEoyGje5pNb57ChpykgxlGIjCmga2NX56sTTmESQG22quZl1T23CVaT0keSlEmSa7CDRggNiZqUK59Ox8y60fiEgHUNw/n8Vy/kC1e+ly111QAMb+/mx7/4Bz/+xT8Y1tENGW3jfegj0P/tP3QS+wZDRGP+85JnWd/R9sb3aWHxJkJJ4du7DUVYj6XFHoP23pW8vO06NnTMIQzlEIK8dH2ZFAeEio4GRSWTXCRyHQnNG5kGNS/OwcULaWLpB7sf+R3EoQtBTnqh/A6Ckcs7eOt3lrD3081hm+5heZ74zH4seP9kvDIHgSSPGy6R6PcdjDogQirFUQ6JFEpmNlelcYQXeu5U/62FiCS0F03CkEoktfmCesR9ehR8qNeStg563LZap10v01PnqD71IJ+kzBwfg+m1jdePk1Mzijx+zH99cOYhPHnIZL5+7WzOnfMiAOfOeZHDX1nDFZe9h4VTJ4b9GnJ3dDkyxmgW6fVNCXygsrfakp5I/VV3GifUbu06ff5f93DOPgfyoYOPCJZAtbDYveFKJ5has302hiKG5llb7HHoLKzjX2s+yKq2e+nxthoPPSVv+zKtT3WcYN+JnrBR/YBOCnyvXnyFnYQXTfj2yoSHSLOnKY2678rR6gnAcSVv+eNyPvjOeQapfOnMsfzh3uN5+kNTkGUmFc4JaYxGzeFUlnVKlRPSX7/bGInymipGKBlTEa2RPa5ir9j5mlKzLlcrsTdKUB7z0yrymeK/FSJ2TYkImEq8Hvbp6e8FrkaqzfYqatz8PHTvoL7EoapvIpq+kH3ufvnW2hq+dPl7+cIV76W12o8Qn7ixmb9/81o+cu9cNfBwPqLZl5obmjWOeH19fLqWn1pJMxKMt5+5MbVLbxDZeDdPb1jDt+Y9wv889VifNi0sLErjN7/5DVOmTKGyspIZM2bwxBNPlKx/0003cdhhh1FdXc24ceP46Ec/ypYtW0q2eSNhiaXFHoHlbXdQlF2gvGQxudSXnaNcjOpwUg6WoY8y8nX5PsE0hOQtIE05w3cY1JDSKEvzodWt7OKCDy3ghJ+9Sr7g1902sYpbf38k9/z4cDrGVIYyt7759iK6Gp2NCCVoXX5W6YzSWqqxdXstYY3mQvyPk0mYs46ZSylGRCqSsdPHF4cIcngaXWk2NGqKIoHG3ENibQN46N5Pvb9Y+5BEBSmASvI2n1o/MGs67/jxp3l2qr/yV97z+PpfZ/O/19xOeU8h8uoaffVBCI1q5hkZQTvhvZ8xvlLeRN2GcX37jz8uWkDBi08/sbDY/eD/1d++LW26TV+45ZZbuPzyy/n617/Oc889xwknnMCZZ57JqlWrUuvPmTOHD33oQ1xyySUsXryYW2+9laeffpqPf/zj23sJBg1LLC32CLheF2jkKfLZKegL/UV0BBTplMGWfC47QpITHnmK5CiSw8XB1WxGdnyvqEcelzzF0G7cixm2kR6H3rKai981n/HP+YTOc+CpSyZz/V2zWHH86NDDGn/MR96/vh//EU3IIHCoayDoLETJ1nu8Hkok/tGuXX/8X+HIM8aQ9PTqr1JGEe+O8DLtRHUjuV15nv1IfsLR9qXahn1Ks0zfT4vwXtswgg/898f4/fknhEfOf+J5bvnmnxi3eVvClrKTSlyVl9YglYFn0yVYHzTGpmPtkSK6BZWt+JZ6AQLbMa+laTva9zzJ6bf9mV8/Nz8I7LKw2D2hpPDt3QaKn/70p1xyySV8/OMf56CDDuLnP/85EydO5Le//W1q/fnz5zN58mQuu+wypkyZwvHHH88nP/lJFixYsL2XYNCwxNJij0Bt2T6AF3q34lKz8mY5huQaee/0ABPCVkrYVS4mPyhGkalUqOOhN1HGyEtkuaK5wHmffpG3fucVyrp8urNtYhW3/nUGj39pKsUKR6cRBjHWJWVNoCWS7WOkOhyPOQ7/3H3+4Acwe0ytPSI8tlfVRP8qSTTbkQWJRs4S3rfo+ifzNmrStjQldL3cJ1B+WTwVUTRNQSbtSYjLy5Ftsx/jOmjeRM+LrroIo7vj44tBK3SdHD++6O187osX0lFRDsC05eu486rfceTLK805khk/EDK5mUEGMyoZnsy0qkmvctpnZnycehXjFosWGni9pZn/XfAEP3/mPxmDt7AYWmhtbTW2np6e1Hq9vb0888wzYf5uhdNOO425c+emtpk1axZr1qzh/vvvR0rJhg0buO222zj77LN3+Hn0F5ZYWuwR6CiuhmDdZjAE2ERd3TPmxCTuOAFLi1UWYb3SHrOovhd6MxXGPdfC+979NJMfi6TmFy7ci7/dcTTrjxwOeIGqGdK30HOpn0noeVOUS/j9EZ57RAajMZgEkWCseSo4vu4i3jrhuPDQhu71YVdx76jqXc8hGXmBZRgtr/qWBsnRxiR0shf3JMrY3EzzuOPEphkItcXGKjCIo04MwwAgT3k5Vc5Kk3TFZXLzKiivXuQZlIHt2cdO4z3f+wSrGkcAMKq1g79+73pOe+oljfjFPhOIEU+tMLBtStcpECSPlagedgGo9Mb9y4Ge/k376+Ln+tPYwmKXhBfk1d3eDWDixInU19eH29VXX53a5+bNm3Fdl8bGRqO8sbGRpqam1DazZs3ipptu4sILL6S8vJyxY8cyfPhwfvWrX+3YCzIAWGJpsVtjU9fTPLzqbJZt+wukzIP0n6NJ2VTJ5QLIUcQJUp07eIHs7ZEXnhZUkiSRebwgnVEKeQ0CRlSceB6PcuHL6Idfv4p3fug5atf7v1o7R5Zx9+8P5d/fPoBCTT7wiBIs/CiDeZv+rB0HLwhAip9PJJfnhSSfMSc0C425A7n60L9w/pR3GMmuk8tcmjOPEtdV99YKFSw1sLGonJZu4K10PZVwPmWKg0z71PUafcmx/h3iekryFoYXNTEuV+B50UNDd97p3lIZG+ayvRt55w8+xZzp+wJQWSjy65/dzAceeiowrknVxibCvpUsLSXpJ02s3UAjxUMbOlFOsW/0FfUR7821UrjFbgx/wtP2bwCrV6+mpaUl3K666qqSfccXHMhawQvgpZde4rLLLuOb3/wmzzzzDLNnz2b58uV86lOf2jEXYhCw6YYsdlu0F1Yxv+mzeLJAPChFIVpoMEhEHvuCKi+aknnDZ6HmRXNQz3GTZIUJyfHCFWykVi8MPAma5NuKvP2rrzD5n9HqOWtn1PPgTw6ho7FCG4/yT/reOi84oMYtAilcT5qk+tXbOdIL1iU3z82vIcM9hGBE+ajUP1zjKsb5daRKHh+tz+17ZYNxScgJL1wRR6VFjxyH0pRV42MSEimdYGSR5K3L32nBz/GVdmTMvtpXn6XfT+QdVQTSvCcEjgOuq18nbeUdQzbWCZiIvZrEqmVYNR//yge5+vd38s4nnseRku/++R7Gbmnlxxe8PbxR0nzsoZfSqBD7vLJ4nHZPm3XiPxq0zzZOXLNsJGxG9cdUDcsYkIXF0EJdXV2/Vt4ZPXo0uVwu4Z3cuHFjwoupcPXVV3Pcccfx5S9/GYBDDz2UmpoaTjjhBL73ve8xbty47T+BAcJ6LC12S3iyyLr2h/BkgZBIhUdNd5Huf0uP1kjKnT7f9DViIXS5NemhU9khzWex1CRzGLamm/MuesEglc9eujd3Xn8YHY3lwXrg/rgjcqoRmxgZdjSvpCNy2nxS34voIMmJHCElVrIqaB5PRdkkHV56aor13Wt8yhyTpvVrFV0Hdd6Rpzce0R0lbjcl7cizbC6hKbW6eksJ2spCyc9PaETU8wiDeXSCqs4lpIEhyUVLU2SSyjgR0wZPGlELewrIcCGf58pPv5vfnndieOwzdz/Gd6+/GyE905xq65ke2kSNmHc0U/5OEECzMLxH0ryhca7sgZDCCAQKvbzB+6b2Vlp6ulOMWVjs+tiRUnh/UV5ezowZM3j44YeN8ocffphZs2altuns7MRxTCqXywWOjp2kGliPpcVuh02d83lm45X0eq3odNKXXgOCIqGoxSoP7OsdLLkY7At8xU+QXHYw7DvRhwxJUeOCFk793BKqmv2k7T11ef75o4NYefIo32FIsHqPEAmC6oVP6pR+BThSgigENsxR7F11CK91vKSNxW8khC/Nq8TqSHCLuYR5gDKnHJCh37OvP1NOPD2QiGT6SF6OES58j6GDv/56cCT1nMNAH6mTovR6njTXXE8jqf39u2t6OpPIzjsZb+Mz3x+//zQ2jKzjm3+5D0dKPvjPp3A8yTc+eh4yeEhEcnp/f//HyGa/bnqROf5USFCBOoC2zGjweWg3SWehyGF/voZz9z2AH7/1TCpy9nFjsftATY7aXhsDxRVXXMHFF1/MUUcdxcyZM/nDH/7AqlWrQmn7qquuYu3atfz1r38F4Nxzz+XSSy/lt7/9Laeffjrr16/n8ssv5+ijj2b8+PHbNf7Bwn7TLXYrdBc38fSGy3BlEFWnu5litCePF5BLiMRlonrhgz9N51OycvgWBxksEBnzoAkQUl/RJqIw+93exPHffI2cyk05uYr7fjuNlik1ugXDnr5+uEbB0KVjNcORkPDESYXg6JFn8XrHS0gpQmlaP1d9nmZdebpMM6o8WjfctKFdzUCm9wmffz1cLxqrFLp0nSSEfolvMycknibhO0KRQ/88VbS28jT6RDOyp0eQx5dT0/vxx63smcQqLcAndnGNU4jqKLt+nTDoKMW2AP562kxaqqv48W9vIyclF/3raRxP8rWPvcMnl6lENsYYM2Roo2pq/yahDAOb0hzz5tcig69mNYB7X1vKXrV1fPXYk1JbWlhYRLjwwgvZsmUL3/3ud1m/fj3Tpk3j/vvvZ9KkSQCsX7/eyGn5kY98hLa2Nq655hq+9KUvMXz4cN761rfywx/+cGedgiWWFrsXWnpewpXdKE8iQiLDmZQ++fHLgwYyehD7/7oo/6IUQV2DFEKauyeUbGXyWR5QPsLk7ICQHodfs4YjrlkT1lszazgP/uwgeurLjVZ6f3Eiqcr0PnXvYxLRk78qX82HJ3+LB9b+jY2F1/FkUadg2slBe6YUvhq1OKRJoLXVswOGp0o8CYI8CC/0LkrUeuDqbJyoLWkEzkPRH0d44VxLPQVQKFfHllx0Pd2jaV5XRX79TRprwesexnRvowzORbs/YuPWpad45LneRp3DXccdjicEP/3NreSk5H2PLkBIyVWXnB/4iVM8nin9ZpbHbhzja5FCOIFg9oSI3JEG2UyR2dOO6SmdgHuWLeVdUw9h/xHpc3ktLHY1uFJkKlQDsTEYfOYzn+Ezn/lM6rHrr78+Ufb5z3+ez3/+84Pq642AJZYWuxXKcnWo6GD/eeeYJCleX0iklBRxArmYMGI7DIAR/qrWar5eWkSwCZ14BoRWhD4ghCt5y38v56C/bQhbLL5oHHOv2jdc57vUigxh31InnwFBCsidp5Ez1UrNX1Tjz4tyHtt0M1uLS5A42hhjREIKHK86dSzVuRoMIV2Y1ELKKEAqj6QoBEKCRwEZ/HmJ2nj+mKVard2UxN2A5DkBp3GJHNEOkmIsUMc/a51UCi1NUBKKVLqpdUTJfV9a19slxx8no3FPpl+YJID3zDoM13H4+a//j7znceFjz9BRWcF3Lwry0Il4m4x7J/7rI7WaSJBKA17WdegnMmyvbW/ltFuu5+2T9+M3p51LWS596oWFxa6CwcyRTLMxFGGDdyx2K1Q4o8Ik54rIpW8m8hmzXUJKEjQzo4qjLZwLaLhv/BInfA9Or8sJVywzSOX8r05m7jf3wStTnr7IRtKezh8EamGweB0RjsXfnNjfL0fAopYnWN7xPOCvBhS4ykJy48ocSAdBjqOHvyPl6sBbRh5PXW4USOEHa4RdKsLlE0UhwNU+EWJ7akxSyuCTiAhbFpHPES2hKAO/qd4GFEn0r4jUPIF6gE5IjCW4XvIuiHsWIzndrJPuwUwez7IX9xDq233HTOeyz12IGwz8Yw/O5bP3PBq1K/VLJ348drvo/ZREmrcz+ysVO96/B+g/V7zKn57feSuCWFhYvPGwHkuL3Qbtva+zuvVWICIOTmxuo4BwfqJCJGOrqHCNfEifeiDUnD1d5lVUMookdmKyryJ9DhKno5dTPvsq4+e2AODl4Ikf7Mer5zf4kq5UUrnAwQu8iCClSmakfJlO8M6vn0Pi4kbz4oQvEgvpl3oqjF3opEqytuvlyK8rAOkhhWBi/mRGVoyjxd2IW8xxeP1bmTHuwNRrXp2v4aqD/5s7VtzN1p6tjK5ooEt20t7byZjKRloLLSzsmE9BFg1Sl0bEpNQPxgigl/GZIXE9gZoRquYvegjNg6gTWv+4yhKgk8SQb6WQIOXNVNfYDeRgndiabsDIixifo2kYVfW8aD8sjhHN+98yjZpL3sX//ukfAHz5todpHlbD3956TN/kkuzj+rejr4Tnhjda/aM5aRNXTu+zlO2I2zN/7Vo+fWTpcVhY7GxI6STmaQ/GxlCEJZYWuwXWtd3Ni5u/hlRyagCV7sdA/K0kTNwtpQycK1HOvlxQp4jEEaZn00OGuRkJehZCRW5HNso7XU7+xCs0Pt0GQLHS4dFf7M/aU0aSk0H9gMkWA2ahLxWpBi4leMIL5yX6BMkjJ8ETQQJvQtYVSMTgiuQfsPqyMazvWo4arQOUiRo+ftAX+7zeOoaV1XHx/h/MPP6txatZ3bmakNoZXt8YFUn1/KU4y3SPX3Clco7/Q6Lgin5FW6rUQ0U3yndpzumM2J3QSJ/nKXldl70lYWqAZE/Rq9TLgjZ9kM5ImhbceuJRjGjr4Gu3zAbge3+5i63Daph91LRYX1njkLH38T5j74V5LIU6q+mu6eeQ5qlU/cRsK1SKshRjFhYWewqGJp222K1Q8NpYtPn/EblEYlofMgya8IyHWLaGl+ZhEiS/ED4diS+RGKwVHrh/cl0uJ30yIpW9tTke/vOBrDtluGZbhq3TpG2zT02+NYadPjfTCamXae+YUedRIYYF5MY/k5n1H0/a3U58YO8P4JCLkSgnupZSxK53cqyOtsKRHvnupvzizznxFX80FhraiO6HNBt6/Eh87fBElL0xRzKlu9Ce+ZlJkmWpiN2MfzjrRH53lp/n0pGSn/3h/5i+fE1KO828Rmi1qxBeBxm/XGm3YMyDmrjEWe0yzyu9jueVIscWFrsGXMQO2YYirMfSYpdHd3E9kiJKkMyFJE0TrDVnjSmM+ivghF9vocqS/ai5ksqHpTWBICra03P4Cch1FTnpk68ydn5EKv/55wPZcqi+6oifushRITdChMmwXW1tIGUzDX7Qjjku/VhOeuFsTHW2RdnLZ6b+isfW/pP23k72GXYkR42blmi/vZhaO5X/nvZd/rl2Pt29HntVjWNjYT1uMY+X6+WljkWs71kfXHcRenClJjWr5R8lUJTCSJJufBYiEr8lfpojz1MOP19ml0GUuPqRIREJGzKh8+r3UEzCV55HszASx3UvqHEfZoSV6cRUNTJchYL/ufAMxrS08e7/PEdVb4E//uIG3vGtz7JhRH3CljntQKr/Q1tpczzTIUJ7Jk+OeUI9vTwDca+lhraiTZpusesjyoO7fTaGIiyxtNjlUZkfh8BB4IbPtGjWnU4u9UQ4UWoY3V+lHpHx73ucmBpRyyLIaRljDrkeyYmfWsbYeQGpHJbjX9cdwJZDh5mCpFCjCubvyWh5Ri/mhUyqiIGPMyQL6U9sRcyK2h/CEeXjGFY2grMnv5c3GuOqxnHxfu80yu5d9yB/X30vQjrGp6CmHxQ9YtcJkMFiLtJcIUeXjf1IdL9lUYIM7Zv3Q0jWYz8W9GjttByTUvus/FoCGeNWRv0U52m83KSwukdQRK+GDcFVH3kXe2/cyluWrWTstlb+9PO/8t6vfZLuivKY11QY7cxBEuOFel30G81/G9qIV9DapVwLw2ba9Qhnbwj2HT4ipbGFhcWeAiuFW+zykLIYytFC+zfpVYy8jqDmJxLuhwE44VPZ7MdYotA8AshwmUIA4cLMK15n7FyfVBZqHP593VS2Hhal7TFl6/RfvrmUJ7QXePYSrUSmDyyBtzZ8nBHlb/4asQodxQ5uXu0HoXhROvcQejBN5IP0oUvTOZF+vvrnFJHWdK+vSLGRFSGtiFoGV0xpb5LVRN2MfgTm/ZaG3vI8n/z8B1k92idi01eu5Sd/vNXozMgJmWVLJ7GlYHxEGYNLfvWy66Rgv+Gj+Opxx5ceh4XFLgAvCN7Z3m0oYmietcVuhV53E6V1vPgxJQh7OMIzCaFQcyldEB6lQ1mDNvhrbzv4aXuE9Djie6uY+NA2AArVDo/+eSrNR9TgEM15TCOBMub1VMsr5nCRmOtkq+e6ivw2AncyLsNeuRP52D6/4pjR7+rzvN5ItBRa0eeJ+tfdF8DdkFSmy/ojymr9ayGVg8z/PL2UdlkE0fQORn5qz1NR3CL0frqewPWitcTDdsEYPA+kF9VXUeBSmlJ+KI/LIPo6xk6lRCsP7Kmcmv6Hb6y9jYStdbVc8oUP01ZZAcDZC17kktlz+kcUw5OAcP6rvqH16QXeyqxgI8guVzB/HwT9+PZGV9Rw7Vnv5N4LP0htRUXf47aw2Mnwfw5v/zYUYYmlxS6PqvwEBHlMrc0QUdGfmD5xjJ5zuRSS5yDJ609xjaGI2LPVCbpUJOfg3zex/42bAPDyMPeafdl6hD+nUorIU5oWUCOEKeHrfcaf3FkSq9FOPyTgoNqzaKzcN73ym4jRFaOoylVpkrIMpirIYBpD+nWoEBUcMeLAIPRHYLIVRa4j6MK3gpo2YObIVOtviyAFiIgt+6j3439mIfHTErBHfZjkNvR0ymhEcdIbkVGVpDwmS8fOSuGVCWO5/BMXhu+vuvUBZryyIt4o2TT+NYkdFpJw7q6Q+rlr7eJO97jcHb9Hg01o10cgmDpiNG+bvK9dL9zCYgjAEkuLXR5Frw1BL5B0ipAgjVpwDQYlQZEFXYLMq/axCXBOghD6VSbdvoVpP1kflj919WSaTqg3RqMj6bWMQmy0Skh8AuygpTYSvlDuIBEiH6ZWElodXU6eXvNhZow7jF0B5U45X9z/M1Q4FVrAjROkfYqmNeh/gMpFOV896FI+vd+72W/YhLA8J5xwEr0jHJO8CRGupAQmyQMVEe6Ex5JJz6O62e+SW0Il1iPJZdyGZkkkSqIbUsuxGr/THzn8YH599skA5D2PX//ub4xqbU92kiB8wXh1a9Lcj9dNtZdqOwMS1DxVZa2jUOijkYXFrgW1pOP2bkMR9uejxS4LKV1Wt17Hpo4H/Ll2YaCLoiM6rSJRppeGj+vQMyjC6GD/mJeoL5BB1LZfPuqpdo78+uqwzgtXjmPV+SNQ64/73lEfLk7gdZPIwLZ6hvseTdf3mAX2BVBfPoGRFfvTXtiIKwvUlU2kpbAWR5RxyPB3Ulu+Fw5lvLztAdZ2vUBN2WiOGvV+JDnqyxqpLRsz4Gv8RuKQ+gP55RE/ZG3XOspEngc3PMpr7SsYWT4CTzps6dnGlJqJnDnuFIrSpa3YxV1rH6ej2M3E6tGBT1Py9saj2b92bxzh8PimRfx7wwus7twcStcqP2lelNHp+Yna/TXF/eMKaj6ixJez4zBW3EmkSEqH5wZ9SNP/qoJzotQ60pwPKdU//XjwBJ7Cn55/Gke+toqZL7/O2G2t/OL3f+fiL16CdDR6niCK8TKN3KZ4NFOJZNb71D5Vz+Z5Ld26iY/efTt1FeWsbWujsWYYlx8zi/1HjsowamGxc7Ej5kgO1TmWQsr+/Pnc/dDa2kp9fT0tLS3U1dXt7OFYDAKvbv0Ba1v/gk/OAOlTOC8WrKG8kIZDRTE4ovJ4Uu1QMjWIanL+XhGHqnUFTjn/FSq3Fv2xfWg0L3xjLxD+r1I9hVG43GAgwvtlUptvIwzbuqCrxuLPJzTHe+q477K45X5WdzyDShSfF5W8f8qfqC8fW/pi7kQUvSLfWPQ/rOpcgxfMaZXS9yYKHPau3ouPTL6Qq174lfIrh5+N+sw+te87ea19M/esnR9+vhJz/e6CG+W99IlldP3C6+1GXkdFLvXPzZMimPcI5hzKjAhyD5BRyJj6hD1P3ZDGZIWoLzXvURXGCV1MmVbn29DSzn3f/gUNLX7Q2A/efSa/P/Nk84Jrq/z4snTYuzGWMNRdT/xeijz2Va7sqGtWoq0jBJW5PA9e9GEm1NcnK1gMaezM57fq+32PfJDyYeXbZau3vZeb33bjkOMhQ5NOW+zykLLI2tYbUE8lEfzjCC2q269pRAiHDzPNYZLuzdSPaZPD9GOBOpnr8pj5qeUhqdxw/DAWfX18aNgR0pA4o+hzla0xSpKkGoXqJ6qu8sZKdVaxCwJPbryBVR1PI0N7HkWvmyfX35c4r10Jy9pfZ0XnqpBUKvj+SMnKzjXcsvrBkFSCfm389zeveCQilX7joJ4MA2rMiQ/CX2Up4UnzkbZ2dviDJDaJorRXMfoQ495K04bWr6e1yzKd4TncVF/LZZ98v7+MJ3DlnQ9xyKq1UT2PUIJWznnTcxsc0T2m6rZLI4/9djuI0pcpBk9KuopFrnvu+f43srB4E6GWjd2ubSBfij0Illha7JLwyZObekwtcxhPYaOQwyNHSlhuih0I1vnOeoJKyYyvrWL4S10AtO9dzoJfTELk9T8YMhiP+XRW0eSlaUlQJ40RmxUpuOmJpTt6d+2E0wWv2GedXq+AJEnsFXq8ovlpSii6DkU353sZS1xlGUjSRVf/NHwi70kRRIVHQT165LduQ0rwXIHniiBKPIoUj2+pcxUDid04Fo/CVv0GJBFl0wM8P9p83tR9+d3pJwFQ7rr8/I83U9FT8L2TaddBpmzExljqJu1TAs9onEVWg2NSSv6++Dnee+vfWbJ5U4kBWFi8+fBdAtu3lf7rv+fCEkuLXRKOKKfMMecMRtJafC0VXQSPjkXkUhptDZsi8G8Zul1kb5/rNjPhnhYAijUOT/1+MoX6vGYm6k+nLb66Gf+jYtr2va1B8JDUl2WMn5e/O6HqrdSXTUCor23gdZpUM5NdGfsNm0xdvjYcd5SG0Z+bWJOrYZ+aCUYbk6AJjh4+nbp8dUi0Cm6O+F3ghcRJ7YiQVJrR33EqFNnxDE9m5MqLUgNprcOPUhg2onm82ucnBEbKn+DcoxOOqkf+Rn3NcnPEPz3/7SyeOB6Aqes38tV/PGCS1MCeyCKbCLJutURZnJDq7+PzRmUw2n56OrvdIs81reeCW29mY3tKMJKFhcVuB0ssLXZJeLKXgmd6MZRI7D+5/Ghgx3jaEXr/RCCb609MJ0rWZ24ChPRiycolw5/v5KAfNYUlz/3vBNqmViYSW+uPbYG/PrMXkD6h1vBJHatfH0EQ2Rx50xzN4+pQzZSqCzllwod5x94/YmzVwQjylImRHFn7FY4Yd0Q/r+rOQXW+mv938JfYu3ovcuQYlqujStTjkGNcxVi+fcgXaO5tM9qoa5wXeY4fPoPPHHAu2wqdEW+MydVS+rRVBVbr3kQvmEsYzZkU2lJtpkztf65J2zKxjKHqKJq+ENXX3kYTeTW7SQIY7sfGE5Wb9Qu5PF/4+PvoLvPjLz/2r/8wa+mryfqlEJfA07yaJX7rhOdRsk6GHe1L40lJR6GXfyxe2s+BW1i88dhuGVzqf2eGFmxUuMUuCvUQllqJ8lF54Z5UHr8MySH+y8lfjzqyKZXlgIQqcplvdTny8tU4gYq77JNjaDq93rSlHFcSw6IjIrvgk1YhlLIZZXD0EOQRSOnPPhxVsR9be14NTz+HJMcwPjw1mkNZ54zl3ZN+mXnVdlVMrB7P/xz6jUT5Ixvmc9WLv6Ct0EPSjyi44/j/oczJ0+X2QopPNw5jbmFA1PyocdCXx8xE7JiRxHwgjM3wRvbxcJHKv5oin+v7se6XjWvk6nefxXduvhuAH9z4D874xhX0lJf1c5x9IPzdpV0zcwYIIqUsYSPtfUqbrt70qS8WFjsDNip88BiaZ22xy8MRZZQ7I7WSkAKCVAE8wb6MjuvrN0utXEdSWNRoQzDBbtr/W0fNKj/33tYjqlj6xQZS3EtEErZuJ+kFUyRHV9ydKMqDvCjjwPp3GaaRMKHynKxLtNvjxW2v8MtlN9Lpdhu5KBWOrj+CMsf/7VuVK+dtjYehJ1yPPgOtJPRSQpQm30fcg617DtXnFM9zGcnfGFKzGfwTfsBa4I52LO2Giw9Fi0BPCyzSZXKdgP7l5Fk8ve9kAKZs3MIX73k43YuY1m+WZ1G9lvI8pnkoS/DuhKCf8NIKDhhlUw9ZWOwJsMTSYpeDlB6dva9T8DbiB/BEpDJQwZXvKZQ+/QeWFiFuyNVprh9zhl7o8xQw/u5Wxt/bCkCh1uG5n09AlgltDqUXtdLm05nBRPp8O1LL9bFKCoytOpjjG75KTX4fKpjIlOqPcsqET/T/wu1meLb5pSDXZxDtH5DL4bnhvG3kCXx12geM+l87+ALeM3EW4ypHMrmqgYOHTWJUWR17VzZyQM3eDMtVI4FeVyVF1wi/SPsspOGI9LyY11AjPei7UtuVID0/EEgapCvGJvWlGrWlG2WwvKQaY6b8jTk2NQ9TOg5f+dB76Mn7GVQ//s/HOWTlGu02j8nVcftpxzx1jhGJzZilmRijcY4ycRVM7inNc1resjWlFwuLnQMrhQ8eVgq32KVQcLewZOMltPe+QD580LqJHJQQeQYFKrWPn5hc9xiWBYnVC4rAaOTTCxOui5C0Vm7o5eDvRCvrvPiD8fRMLI8kcjzfIxYjHALPJwjCDxpyJVpydfU4Lf07Lu9UMXX4OUwdvud6KXVU5CrQpyUocvnzGZczpnJkSv0yvnDAO/jCAe9gYfMKvvzsDbQUuthMO5/e/+1U56r53ov39Lt/RQwBwxsZErz+qN/hsozavMlSkrbWe7RufFBNJ3h9PY/UbxoBr49t4FdnncqVdz9I3vP40Q23cd5XLsPN5bL7j9tX5y6zJ5akDklGx8J2MtiXyYYi6xrhR9xbWOwq2BFrfdt0Q/3E448/zrnnnsv48eMRQnDnnXcaxz/ykY/46yFr27HHHmvU6enp4fOf/zyjR4+mpqaG8847jzVr1hh1mpubufjii6mvr6e+vp6LL76Ybdu2DfgELXYvvLbl67T3LjbKzCjb+AxJU5fLKXeQjLyS4BPCeEqhwOcTthdScvDXmyhv8UnqunPraDq7jrQnc3zJRxm5TYPjZh1z3XCpHfGJryBHhZMkU3sy3tZ4LJVOpe+1Ci7l4bWHppJKHR3FHq545q+0Fvw0SxLJb5Y9RHNvO2k+Ml0eD5eDDPYViUyTof2AneCTkpEdM61QHzqwJ5OHgvtZJF2omVJ06NnLkKF///aTWLKXnyT/kDXruGjO/PTxZPVTikTHvZrxMWQ2TSHNJexNGTG89JgtLCx2CwyYWHZ0dHDYYYdxzTXXZNY544wzWL9+fbjdf//9xvHLL7+cO+64g5tvvpk5c+bQ3t7OOeecg+tGk7cvuugiFi5cyOzZs5k9ezYLFy7k4osvHuhwLXYztPY8hZ6/Us81qc9lVHSNoFyfw6Xkckez4QjTntpXbwUw/vZWxvyrA4DuMTkWf7uRNOIQl9kjqmsSBScclwyXcRSaPXUOfsqhAu3FVX1enz0JYypG8NPDv8zR9TPYv2oqZ40+nf837WN9tlvZsYn2YrfxE0MgmNP0Gk7GFASdMLpelKeyWAxW6ZFaknWpL9UIStpOnyoZnz0Yr1GCPOrvMwil2i/pOHWhkCvj6+97d1h05d0PMrKt3RxiHPrMDZfQ6ypS+s+E7rjXxm5MKfDicyvTvTj/WvEaa1tb++jQwuLNgZXCB48BS+FnnnkmZ555Zsk6FRUVjB2bvsRcS0sL1157LTfccAOnnnoqADfeeCMTJ07kn//8J6effjpLlixh9uzZzJ8/n2OOOQaAP/7xj8ycOZOlS5dywAEHDHTYFrsJcqKWotyWePaIcG5bGNurSdqgL98X/7WkAjOEUBqdCA8I/DQ1Zc0uU3+wMWyz5PtjkSNylGkeRp8W6rkYo1794PGkiGh4SQWop7kvpzuGxF+RG1764uyBGF/dwNemf2RAbUaU1yTKJJJqURkkd/Kh3x9qYq7rCaRnBvWE6YtCT6SuhWchQ+6Ochb1TcrUsFI8gPHlERP2pFYvwLP7TuYfx8zg3U8+Q31XF1fePZuvfeA9yU5jbcOvRbxObHKk0A75DdPGFn23wtyd8bFn4K5XFnPPspe4+u1v572HTOu7gYXFG4gdQQyHKrF8Q4J3Hn30URoaGpg6dSqXXnopGzdGD+xnnnmGQqHAaaedFpaNHz+eadOmMXfuXADmzZtHfX19SCoBjj32WOrr68M6cfT09NDa2mpsFrsf8qIymqileygNfmYuoein94nJy+GrueSjXq5sgWT/H26kvNn3lDadU8vmU4claEUOqfRRJKZH1JfgfSYgpT6KDJFQqHmh0XKPZaI6ta6FiXFVI3jPRP9vg4ODQFAv6vjEPm9ncvWYMOgkvoKOvw548k+ekeNb81DqSErgmOt9G5WJ34KmjZi9sL80T6b6QZXm0YwvLgX8z/ln0VZZAcD75j7F9BWrM8bUjweeVl+vLfo4nmjfVx/a2Dwpuerhh63n0sJiN8YOJ5ZnnnkmN910E//617/4yU9+wtNPP81b3/pWenp6AGhqaqK8vJwRI0YY7RobG2lqagrrNDQ0JGw3NDSEdeK4+uqrw/mY9fX1TJw4cQefmcWbgYLXpHn5osdVuLa2IFXmNOc8CtSCWjocfBKq1Du1X7+gk73+rwWA4jCHV/7fGOIZE3WJXfdmqZVzcsIjRzGQ5VWEeGmvlwjH4iFwaS+u7fd1Gur48sHn8e3p7+XtY47g3NHH8bPDPs6R4xv5+4mXcvHeJzK2fCSeq5ZqFLiuWsUG4vdV9CbZj05OpUe0tKJLROyMZACah05bvzxMsK7KpYiiww0ZPZZQSDlA4/1kSMqb6ur4xZlvB/x0Vt+87W5wpUkqVVoFjbBm3qUaKdYR/vbTr4NOVtPmj6o2avNi74PNk5LXm22EuMXOhZXCB48dHhV+4YUXhvvTpk3jqKOOYtKkSdx33328613vymwnpTmZPW1ie7yOjquuuoorrrgifN/a2mrJ5W6IMmc0rtuKI/BlTV26zoCSE6PHc8xXGB4UCKk8mEF6GE9y0Dc3hLZeu3IUxcZ8prclFzz9XOFHlDuBbTWX0kUiRTDrU8ogMrzU2BX5FFTlkj+mLNIhhOCsvY7grL2OMMpryiq58rC3UVHu8OslTwAQX4NcJ/w6YYqTp2RydEXIZPKe1LyLoa2wmkY29a3Ufa0TyrCtMI7HTiXE9accz/vnPsm+GzbxltdX8PYXF/PwodPNdslmfY8lhtQI79h1yBqjaqsfCptKGF9b19/RWVi8IbBS+ODxhuexHDduHJMmTWLZsmUAjB07lt7eXpqbm416GzdupLGxMayzYcOGhK1NmzaFdeKoqKigrq7O2Cx2R0TpTqKbM67jpbXSkSZCmzbU3tjbWql9uReA1mkVrP3g8Ex7enmOaIlGva6DSmEEjhBhGqTkkzZw2AQrM0yo+DSV+aEVFf5GQhh/2rQfrI66N6QRCZ4t28a8nKHbOgUq4lyTqI1k52n8NvaaGjijezWzvgraftHJ8cN3nBW+/6+7HyDnun1L17qtfow1IzlojAxn7AdIcxj7asLQfCBbWOwJeMOJ5ZYtW1i9ejXjxo0DYMaMGZSVlfHwww+HddavX8+iRYuYNWsWADNnzqSlpYWnnnoqrPPkk0/S0tIS1rHYs9BdWMnabT+j110dyssOEkfIkMQ5QcqgeKofkAghyQWSsl+iR2TLcF1u37a/n+t02ecnW0Iry74xBnJ+a8ewp+t2kYTt9xuNIipXXi7ICYkTZNd0tMxoKgyozjmVA6qv4di9+o6Gtug/NnS1RRHi2r9VotyXtj1hzpcMb6noAx2Vr83uQCdJngg2NLk6ugeM+vrhmJ20uYuGZzOLa6WQt4cOOYQFUyYBsH/TRt4zb0Ekf5c6pxSpOnVcaeei18uQuVPtpfT94yfm8Mhrr2WN1MLiDYd/G4vt2jJ/r+7hGDCxbG9vZ+HChSxcuBCA5cuXs3DhQlatWkV7eztXXnkl8+bNY8WKFTz66KOce+65jB49mne+850A1NfXc8kll/ClL32JRx55hOeee44PfvCDTJ8+PYwSP+iggzjjjDO49NJLmT9/PvPnz+fSSy/lnHPOsRHheyA6e19icdOZrGu9Bil7jOdUTkTey5yI8kPmDXLpz0nLCVU/nn7IrxsSzWDb+4/NVGzyieim02toPboKtWaLmoOZF35/yq6PyF5SS9W36BwcEZDV4NURPumcNeFSDh03M3OKh8XgML663ogQR0K5yLFvbQNIx/cuhhvmfoATx+2Tbjz9Yw4PGXWyIIndo1p9w7snzPJER7H9QIYWwuF/3hEl2v/iAw9S1dtrcsA0G1J9m6IZnxHhTow43SuZdd5xj6zeb+z2f3DZMj5xx11cM6+PfJwWFm8Q7BzLwWPAxHLBggUcccQRHHGEP7fpiiuu4IgjjuCb3/wmuVyOF198kXe84x1MnTqVD3/4w0ydOpV58+ZRWxv9+v/Zz37G+eefzwUXXMBxxx1HdXU199xzDzm1UgRw0003MX36dE477TROO+00Dj30UG644YYdcMoWuxrWtvwUT3YDbmJJxihVkFkOplSu9pVnMg4jETqS8s1FJvxhGwBeHpb/1+iQUCY21Z/29FfkNNGPQJO/9f4TPiwOHvlF6sr3zbwuFoNHV7GQIDgF16O76BL/NGTKH/+jR03i9Mn7p0vCYZn+icbI1kCR2iaFvPXXjoBn9p3CQ9MPAWBsSysfffSJPttGZ6OdT9p80lIQKbv9kd/1t8H7n/9nLq3d3X10aGFhsSthwME7J598cphOJQ0PPvhgnzYqKyv51a9+xa9+9avMOiNHjuTGG28c6PAsdkP0FjcgArkYwFPBL5SOb1ByuYg9snIChPRCCqjs6PfthD9sI9flv1///nq69ikv0U8kreeRoQPHX7klWiNcBe3khcSVXiCFmL/dpBTUiNM5ZsKnqS2f0telsRgkmnu6QDp4MiL5UpUbMO+dSdUj+dGss5kxZgK3vfpi4DFM/r2TRkt9L/i5oZqkpATSvYKZnsc4DUtEhGcgvDn9t/97zpm8bdFL5KTkE/96lBtOOI72ykqzvtR7LPGFS5OusyBMu0ZV3cOpDmZ4MiXQ3N1NnT5mC4s3ATZ4Z/B4w+dYWlj0hcr8XuGSiw6SsiB1uI+41Owjmnamf3EjLS5MLSQIIq9luF++uci4G/w8eW6FYNVnRxht49qeJJLHhZLbZTBPU0Syu1odSCC1JSTNp6YQktGVb7ek8g3GEaMmBFK4EnQdRpRX85aGieHcS8C4vQRwQuN+fh0hOGDEGO2IPrEikM1DE5ERI9+qkd4oGIcUGaQyRWZWdQwPqb6vbaq9SiUU4NVxY7njLTMAGN7ZxcVPzCVuLZS81QlkOQ5UgyxSWUKqD539KbJ9FgRQnnMYV1tirquFxRsEK4UPHpZYWux0SG8bED0mpVRpfWKIfUf9PJQx4qY2oW5u3W/p7+/1xxZy3f7+hotqcRsdrb3Zr+5zTAqfMiHVq2UcESpwx3zCOrh4MpnxwGLH4p2TDuWD+x4Vvq8rq+SPx7+P7844g0NHjQvLy5xcePvMHLMPX3vLSeGxdR0ZSbr7koI1L6VPJLV7x+CG6sYRyXkSif60O09Pyxav5yXN/Oa0t+EGbS7592PU9GjzmONeUhEbiP4bKznDo/8oRURLXM+C69He07sdHVtYWLzZ2OF5LC0sBgpPdiSet76X0A+sUcTOf16LQPyOCJyr/SoMl8gLEE86k292abyhDfC9lWs/XY8jJEg3eL456K4VRSAjC1E/YQrKWN8OXhD7jZ84XerSqaCzt20gl8diEBBC8M0jzuSTBx7Ptt5OJg8bRUXO/3N366kfZmXbVlwpuXf5Eu5ZuYTqXDkXH3Aklfmy0EZ7IYPQBLdHpoqtS919wXSOZxiMEb3wF1iyrhEcEzRb3jCGe448nPOfeY5RHR1cNGcef3rbyVGV2H2cOp7UcWlIERgyr0B/5otqdTp6exlZXdWPRhYWOw5WCh88rMfSYqejPDfBeK+eaQ5+9h8lQ+fQ51VGD8UcMpC7kyqeJl4igIa/tYVzKze+bxiFBp9sOJoLJ6ovw/fmYzIYYfhUJuxb91yi7IholR+Q1FfYzAZvFhqrajmgvjEkleDnSJxSN4pblr3AL174D6+1bGXR1iY++ejtPLL61bDewSOChPVx8hd6EDOka1FaUTYkZd0usXIgNSl6rE24glPGPEUk/Pq0t+EFN+el/36Myt5eU2IvJVGXmANpjEPf0s4nPsskzX5M+q/I5RlXOwwLizcbUoodsg1FWGJpsdNRcDclynTHDLFXo1xXEg2VMPm0Fj2Ssdf73kLpwLpL6qJjUpIjDUrKNKMwFMEN+5JRTss4udR0UQRQkCvTL4TFmwYpJX9d+myC5/xp8YKwzqstW5LyryFLZxkn+t2RRiKzEp4rxG/8LFKX0T5tdK82juX+ww4FYExbG++b+2TSVtZ44v2mtElI8mn7aV7RjH6Ux7fHddnSGQ+4srCw2JVhiaXFToeUBXR3kEN8bqIPQTRv0jHqmXUdPPLCI4dHDpec8EnhqHvbKQ/yVm49vZri3mWBDeX18ZOYl+FRhkteS3EbeT49zWPqB+nkg/4cPYl6UCenjof2PLb0/own176X9t5lO/xaWvQfnpGDFPDgyaZVHHPLr3nr7X/iy0884HsdXJBF/FdXRORQ3yRQAFEU4Aq/zBVQJFhPW5UF+y6xdbbTBqgd9wIvoCKtOpmLleuvqp1A8Ou3vz00/bFHHydX8EjNkxknwfo49HG6IGLjMra0JOmk1FGbq8ZrMtDT/nQ9X75vNh29dq6lxZuH7U2OHi2HMfRgiaXFTkdF2XicQC52Qm9f3MERPdGcmBLtz2GUof7oBJ5BZU9IXy4f++dobmPTx2sJpWq0gJvguJIX89rTUdVTz0TVv3IwOVIjukKlIorsgR/QA7209r7EgvUfoeC2bP8FtBgwhBCcN/kgP0JcIz0ekg1d7bzeuoVer6gq48vFkZcxSiKulznBfaFFfuvuR0/bT0OWNK61SliQ8QKzjdAqLh0/jkcPPBCACc3NnP7ii+l96zd5zLyQ2pZ9Jkb/CeVB+86IcF+Y100jnx29Be5a/DJX3f9QHz1aWOw42KjwwcMSS4udCil7KRRXG2UinLuouzzUg9yUvNUzX3kdy0TyN6IQUL2ol5pFvsej/dByOo5UeSujJ6qDTNj2o8ujp7xKLSM123o/0frhMn2s4Zl4FLytbOt5th9XyeKNwPePPZ0L9z+UYWUVpM6VxPx8dfh5TSNyKQI2Fq1U0w+k2VZtPXSalTWI8FXdaxEhE5E3Utv+dPJJYfOPP/oYxL22Qd86+Usdah/nmDZugd+dMGr0QbbVkKTkwVdexfW2JzTdwsLizYAllhY7BVJKNrb8mCVr9qOr8Jz2oPIJXl5AmSDIE1n6KeZ7Fv38l1mPqDE3t4f7Wy6qIef4EdtqecVSj7a8kJQJj5ww1/lOtvHHmUs9ljV2m5hhZ6EyX8bVM8/ksXd9sn8NQmlZ8172F1m3sNB3BHgC4ZmUMvydlWLPoGVSa5EgmH6tufvvz5Jxfrqlw1et4sgVK6K2fXgjdXl9sDC9rSWuoS6/h42FXfrU4k2DDd4ZPCyxtNgpaOm8jc2tPwNc/yYMnp4JbyN6PsrSE7ZMBTF653S6jLyrEwC3WtB8bnVSohPJdvG+/HXEPZIRFZFXVSifplQ1NHtSkWSJlA5lYhIjKt/S57WyeGMxqrKaMydNTXcgGvMORcjZDLIXki3DJa0Z0V7Tbq/4fmIQKe8N72SKrSwIwZ9OPjl863sttTH3NYa011Ln0dd+f9oH28jKKhxLLC3eJFgpfPCwxNJip6Cj+3FUzkgVNANJYSyUk7UnjMh4goakzoBkxANd5Nr8I83nVuENU7KlWo5RhhKdPicN7X1IRIWfX1OEbCJy30SBPYHbB3M9c5Rn1BtNbdmZzJxwIznHLlW3K+BnJ5zLJ6YdzdT6MUwfPp5ZDZNpqAxWfFGkMdSbNaSRvizimNZOeRUDlHwM6R48TyO36laU8W9POu494nA21PkZEU5btIiJm7f4gThpZK8/55D2Xvc46kFK4ThToLU3fvgFY9jc3kHRSuEWFrs8rA5nsVMgRA1CejjCf+7k8OVsFwIPiv/wUc6UvO4pwg+yMKmfDzXHUcroOTUi8FYCNF9QHQboRPa8MJBXkks6nLQHXi7sMvJHqqUDVT01BgeJxDHSGElgWO5Sjp34kRJXx+LNRmU+z1VHncJVR50Slj2w/BU+9chdpRsqT2Z/PYbaHMwB+TLUb5WQlCkveB9ENwWFXJ4bjjuOKx94AEdK3j9/Hv971jnpbWNlylGaOfbwOgijvSKtypufCBAqcTFU2/J8jpz1WFq8SdgRUraVwi0s3kSUOcPDpOaJmzA7YiJENMcx7lbRzOCvtFP7nx4Aeifk6JxRnqgHfqS5SsDuezBFmOTa3E9vq/6AeNIJ68ggeCKy4VB0xzG6+oz087PYpXDKxH3Yt26UGUQj0+Y0xjDAZ0mWPcNb3g/Sl4o0zyPwf0cfQ2/O/8nz3qeeprxYLDm4uC9UEnwXUr9+JqnMHJdeu4SXVPVbW15u51havGmQO0AGH6rE0nosLXYKCu4qBA70kenLkMW1N2leE5lSt352NyJ4Zm47uwqEvi642ZFPVj2KMocnJ+Mwi163QFluG5X5iXiynR73IWCbYUMiyHE2lfm9KMq19LhlVOdH4cq19LrDqMjX4somiu4Y9qq7hH3HNJa6NBa7CCrzee58x0X88Mn/8HpLM3vV1FJwXTZ3dTKxtp723l62dfcwub6eTZ0ddBVdJtXW09TZRrEo2au2jvUdrQgcxlTX0NTRRoVTRl1FOZs626nOVVJwPTqK3Uyoq6O7WGRLZxeT6uvZ1tNNa09vaPvh116NTfQQVOXzdGURQkgndoGSvKW2lgenT+fchQsZ1dHOaYte5KEZR9Hrun3ayPy+pqjUJR+rsu/jup2tnV0UPY+8Y/0hFha7MiyxtNgpyDuNSCnSnZMaa9SXSdQhYq9usgoA9fdGq3ZsOyd7vWHdXh4Phws5cvKnEvWWbepia8d9ILxofIzmmMm/zLRtsfuirqKS75/4tp09DI6/9o+sa4vysAoEB4xqZOGGtcnKWVJ7jCT+7dhZnLtwIQAXzZvH0reexmvNm83E8X2itHcy/gMwNcK9tOUQNeXlllRavGkIvfLbaWMown5LLXYKRtZ9GiFGIqWDJ4O4bykg3Hdi8nJSalb7ngRP5oJ2hPZEi2TYPF8G75mYo2t6RYZtjH66CvtRX/2e1HFPGH45QlQHNnzxvK7iazvwylhYJPGtk0/BEQInEObLnRyfP3oWlxw5AyAzWjqRtkjbf2rffXi1wV8P/ZjXX+OrYxr40vHHJeyZ7dKJZOqPP6H/YMsaX7pt/cGkxvK5445LtWFh8UbArrwzeFiPpcVOQT7XwOTGu1i16TsU3G0IZzoOr+G53eRzhyJZTNF1yOcOQsoXKbjVlDsTccQSCu4I8mIEeec1et29KLguZbn15J39kTRTlFsoE4dQO3cOwl0HQPvb9wUOpyw3Dc9bRNEro8zZD08uoujVUuaMA16m121gRPVJ1FbcwraOvZEUKLpNVJTtT9HdjOttY9+R32J1y70Uil3UlL2V0TWb2dR2HfVVZ1CeH79Tr6vFnom377sft1/4fv6x+GWKRThn6gEcO3ksJ+87gWFlZTy2fCW15VXUVpSztm0boyuG0VV0ae3pYv9Ro9ja1cHWrh4OGjOaNS2tdPQWOGTMGOacfib73fAXAEbfdD11X/kqX5w1i3+/toKqfDkNNdWs2LaN4RVVSA+2dHewz8gRtHf3sLmji/3HjGZTRzstXT0c3DCGFc3N9BRcDm4cw9Itm5EeTB09iqWbN1OeyzOhrpbXtmylpqyCEdWVrN7WwsiqGnpcl5buTvYdNZLWrm62dHZx2PixVJSV0dLVw/H7TObsQ/bZyZ+ChYVFfyCk3F5n766J1tZW6uvraWlpoS5IrWGx68B1t7Jq49kU3ZWBJK6iudW+CGRwta+isP1934kR5ZNMs9H4X9sYfrMvha/860jaT6oy7Ckb0b4/59OP9NYSDxm2VR2R0mcN+zfeRnXFIW/YdbOw0PGrefP5+dy5OEL4EnYwb1GlzwrL0bKsalHb9Z2d/Of736ayWGRrdQ3Hfe1bFPJ5o51u2xFa0I6GMFpcJsuM/Vg7vR+046r8m6efwgffcvj2XCKL3RA78/mt+j701ivJVVdsly23s4cX3vvjIcdDrBRusVPQ3PYbiu4awCeP6tkS7cvYfnBc29efUkLE9qWk5lFfBvcqoPvYcoTwDHtx22ZOyizbXng8sqfG3cnrm745uAtiYTFArGtt4+dz5wIY5EznaUZ5SCr9dwAt1dU8fMh0AEZ2dnDS0iWJduG+8KedqH0dijTGArrN4ylII5V6+fcfepT2nt6M1hYWbxxsgvTBw0rhFjsFBXctUvpLKgLBg8r/EsbX386C7hGJl5W/UqSsySeBnbMqoDLNdnKlH1ABB74l5esx+tBTCYooPEEIj6K7mPXN3yOfa6CnuAJH1JNzaim4q8k7DXjCoeg2UVm2P2OGXYwQZdknaLFb4JUtm7ntpUUUPI/Jw0ewclszjnCYWFfHa83N1JSVMbKqmpXbtjGispLqsjLWtLbROKwGgA3tHUyoq6Ozt5dt3d1MHj6czR2ddBULTBkxkjWtLbieZPKI4by+tZnyXI5xtcN4anUscCc965Z5nGSdO448inOffw6Adz3zNP88eHp6uHZf2lYsxeaOgCsl37n/Ec6dfhAn7jd5xxm2sLB4w2CJpcVOQVl+AjkReQiVwCwR2aHgZESZppRXPRV5OTqPL48IYmBbrfedkOrw81m6yDB/oadcMSppu/bgdITyrgSJh0QHm9p+j09Kc0jpBc1ySOnHrrvkEcKjpetR9htzPUJY4WB3xfMbmrjwtptxPQ8pJR7gqGyo0pd0pZThviFXBzZyQuAq2VlGMrYI6gc/W5BShlJ0WrqtRG7IeHl4D5vM7z/7TWVjbS0NbW2cvHQJIzraaa4elky94H8ZzMHrA4m7KLO+nP1FYO/exS9z96KX+c5Zb+N9Mw4dhCELi4EjK2/xQG0MRdgnmsXOgdeB8guaz6/S30T/gZvcwuNBJGr1gohYdh1VHrMtjT7T9p3Y+/iDUfWrSEBUTWrSuauNLdgX4IgiIGnrfpT2nqdLnq/Fro1fPjmXouvhBqQS/B8aak6wJ6Psk6YsHcE1ZOfouKrvOyJleDy8i2MeSkHsno1DpN3p4OZy3HWEH11e7rqcE3gvE19Fda/38bDsN4fs50NXXZMfPvw4e2hIgMUuCLXyzvZuQxGWWFrsFHjeNuLL0QkCQifMOY7RcZlajpQ4yGApRX/OZNWCgt9PJfQcUoYjfE+kI3w3/UBu/FxgOxcs+pgm1YuArAoRjaM/cL3mAYzEYlfBoo0buOyB+3h67dog3CuOjAeKXtWLbf2VmuNFabebjNnVv2spdm4/8i3h/ruefTqinpodER+vsf63ZjrsUxuXjG2eaTvRRrcXoLNQ4JN/v5PZL72SPAELC4tdBpZYWuwU5POTwkAYwHiQOKgbM+WJGX+ShpGrPslzgNz6ImWrfdm5+/ByRIUIPYu50s/XsFz3FTkEpJRgHXDDayI1z2lUnjPGH5UL5XuS/rvKsgMzRmGxq2LJpk285/9u5v5lr9De25s+0Tft3o2TSr16/HhaWcq+8lompO+wruadTCN7AZY1jmPR+AkATF+7hkmbNvl2JZleUN1DKoK6qeNNI72ajYQtUvoMbD/26gq+cNt9/GPhopQRWVjsOFiP5eBhiaXFToHrbjILUr5/yTXEddIZlSn5W22VzxfCw90zysIpm6F3Ud+PdaGcKGFATmzLkTn9MxyzUGMVcfsysiwkDh6F4qpsYxa7JG58YSGu56WuUFOV78e09T6IVX/bliaUuvUUGykk9t7DDg/3z1z0fGqbPsfZT6U6OQVmYPjN408NopWFRf9ho8IHD0ssLXYSehBSlHxQKU9hzg+D8UkdEbl0Am9i/CaufDlaP7lnWllqeiIwZWwn7COS1dNsC6AMSRkeZXjkYvtGmiJ00iuDsfv1y/EQSDzZ3b/LZbHLoLtYjH/KIOGBiz7Mp488hgnV9f4ao64IXhnYOtrq142rvap96e8LT3kIhf+aISUn7OrzJANbFP3X2QcfHlY968WFkQfSI0lidRu6pJ1WrsvpaXb6ug4p57auuYVzf/NX7nz+pf5as7CweJNgiaXFTkE+NzlM95PwXKTI4kJ7RfrRs0qCi3txypdEHsueg/JmhZiXSQhJLvAuOoFHNE9EBLNgeDBj++q4DPoTQhrzRhXZzANVVgrf7fC2ffY1vJUCwcGjxzL7lVf42dy5rG1tRWUUMO7tUlNvNSIWZuAyPPHxH2Fx68KfR6m2gOwatom+L6F8rVlaN2Ikz0/YG4CDmtYxefNGQ+pOs5d2HvHvc+aPxzR7adchZZPAsk1b+OqdD3LfopczBmNhMXioqPDt3YYiLLG02CkoFlcb1M148CQkZI2oQRhdLRIN/WPlS3yPpVcBhcm54IiM6muuj/hDT3kx1RdDAE5KvkuR+jRUdqIIYUdny5o8ruZk9hRsIMLuhrP2n8r/O/EkqsvKEAgObxzHn89/Bze/+GJqff3eBUzvXwpJk5jfBaNUGoXJjuI2tVehl3nmcdX0gWmHh+bOUHJ42rzJjO7TSGUCWfZKXYc0G0H9m55Kv+4WFtsDnxhu7xzLnX0WOwc2j6XFm4rOrntp3vZ1PG8jOaLnm3ooqdySad9HkbKvP0sFILokZSv8wJ3CAXnyOREeR6sbt2f0IyAnIS8igkiw7+cjjPip1OixFxDKHIJcsC+BCm18LqDT1LVbPkJV22GMG/UbyvOTMkZksavhY0fM4KOHH4knJTknCjXLgpAaUerjYVNaKu6fkKw8jFL/kRaT4/XYOVVp9iGH8tXZdwNw1qKF/O6kt/sH+vrS9Bdxwqv2RUp5qfba+95CMbWqhYXFzoH1WFq8aejpXciWrZ/E9aLAHT1fZBhdTf+eX2lEM7+qGHpmCvvlw/LwRpd92FdSYeBmUpI7+PtKLg/Hq407jB6PyeoQeS6T0eIe3b0vsGbj+5AykvAtdn0IIUJSCXDhtGklKvdxT2f9mgrLRPbxFO9k2EqadfqSpdcNH8lzE/0fOAc2rWefTRuSJDBtyxp3fHzxjmP14vJ5n0QTGFtX23clC4sBwkaFDx7WY2nxpqG7+5/469kEcdealyKRG1KWfqaofJdSmo6YfJBmCKA40adx+sMqns5PyZT68zt8qIlweOnvyR63WiVFf5Kq8SqvbA7f4wlFCu5KeguvUVFu51zujmju6uJ906fjCMGtixYjJYyurmZDRzvlTp7hlZVs7GinKl9OZT7Hpo4O6isqcSW09XTTMKyGnmKRtu4extXW0tLTzfq2tnClngRSPHeAPzcRzQEYJ5kQ+0Ikbcw+5DCOWL0SgNMWv8jvTmpMyvkxGLazvJKlylK+W6ljTMHallbau3sYVllRuqKFxQCQ9ZtpoDaGIiyxtHjTIEQlQnqBlOxndPQgNX2PEFAe1BHBo8ZDJr6oQvgETa1Ikl+TJJYK6l08QNcneP37I9Dn78/AzVIWOJjc+GEhg+AgAtnc79hFIoR9MO5u6CkW+fIDs7lvqT9X9ohx47jrgx9gVHV1av3HX1/BF+6+j7aeXtq7epFS4kpJd0+BgusiJfT0unT1FoIYHO2O0+dDphG1tO9RFikVsfda0cMHTeeqQA4/ZelifnfSqVnm0233Y1x6/fB8+uogQ45fsn4DR//gN1x6wlu4/NTjEKXygVlYWLzhsFK4xZuGfG4vcgGpVNAlah1pj4a0h6SKvIuk8HRiqT+jddvK85nMOVkCfTDQfFAnmt0ptcFq0rrWJifKyOUa+zsCi10Ev5w7j/uXRgFYzzc18ZUHHkytu6GtnU/fcTftPf5yo0XPC5dz7Cm64Y+jrt5gSkRcTo671+PTOtIk6yykEcAAa0aMYmnDWAAOW7uKUe1tybZpUnepvuKyeSlZP267r7rBdfvDE09z9/NL+hiMhUX/YKXwwcMSS4s3DcXiMiQ62RMRyUyRqFUd/UAir6TAmOOYX6cRywmRFK5L1zqxU2RTSYYitjnapjyNWQ4RVV+ff6nagAwJrDGvNKxboFh8Pd2wxS6LuatWGbzHk5J5q1en1l28YSM9RTedh6VMfBRxl7enVQnzWJpyNzI5rzITaav/BDb+fcAhADhScsrSl/QpwaXJYany+HGZOOUkqYwvG6n2tfrRd1vwyMvL++jcwqKfiP8gGuw2BDFgYvn4449z7rnnMn78eIQQ3HnnneGxQqHAV77yFaZPn05NTQ3jx4/nQx/6EOvWrTNsnHzyyQghjO1973ufUae5uZmLL76Y+vp66uvrufjii9m2bdugTtJi14DjDAeZzBTtR1FHm584PcneFBHNIYJAGbNdTkB+S2Q/15APc1TG53PmBIn5kU7Kpuqq+mmEU8+1GR+1wJe788FWBuSFTji16+CM6N+FtNhlMKKqKvE51pSVp9YdXlnZt8HgYWTkmFSJxdUxzySPQpVpW8mHmnYs6579V0AswZfDw750G6Vsa/WFfj7SfJ967to5mD8yI9k8PFe9uZSUOXZ2l8Xuj9/85jdMmTKFyspKZsyYwRNPPFGyfk9PD1//+teZNGkSFRUV7Lvvvlx33XVv0miTGDCx7Ojo4LDDDuOaa65JHOvs7OTZZ5/lG9/4Bs8++yy33347r7zyCuedd16i7qWXXsr69evD7fe//71x/KKLLmLhwoXMnj2b2bNns3DhQi6++OKBDtdiF0J19YVIMR5POiUlgv5MkUojngBOs//EkxUgq0TqspDaS4TYgzKRf6zEg7qPKWQhdDKr5oZqR3GcuhKWLHZFXDZrJjnHwUHgBHfCJ446NrXuyOqqwXs4VLmXUSdG/ESsPG479Z7V6ryw195srhkGwHGvvUJFoZBuO9Yu4YWUKfs72rujtR9R3Q/ybmHRH+wIGXwQUvgtt9zC5Zdfzte//nWee+45TjjhBM4880xWrcpe/veCCy7gkUce4dprr2Xp0qX8/e9/58ADd14g6IB/3p155pmceeaZqcfq6+t5+OGHjbJf/epXHH300axatYq99947LK+urmbs2LGpdpYsWcLs2bOZP38+xxxzDAB//OMfmTlzJkuXLuWAAw4Y6LAtdgE4Tj3jxs5m7cbfgXs3ebl6ABMb+4ZA4GzzPZbeCCcqwwz6Se1SaFPYpEDKUQi2gIgSqwtMwikzbGWWy6SXNJo36lIorqCifHrfJ2qxy+DwceO484MXce3TC+noKfC2/fbj3dOnJuot27SZm597MZJxVWoAiG480r2HqMNpXr7wYHpb1S48GJe/M75/0nF4dOrBvOe5p6gu9HLM8mU8MfXgpG3PHKQQmJJ9vP9SX5rYcX1OtT5WIWL1NTy3ai3/WbaSWfvtbYN4LLYLO2LlnMG0/+lPf8oll1zCxz/+cQB+/vOf8+CDD/Lb3/6Wq6++OlF/9uzZPPbYY7z++uuMHDkSgMmTJ2/PsLcbb/gcy5aWFoQQDB8+3Ci/6aabGD16NIcccghXXnklbW3RBPF58+ZRX18fkkqAY489lvr6eubOnZvaT09PD62trcZmseshlxvF3uO+zvBhp4WSMpDu2Yjt6xJ0+gNW4jSbxBJASBF6lHJSk861cieQ2Z1AZu+Vx4Vyu348L/wtlNjxH3QVQlCOX5bXtpwwpfQ4dHkvn0v/oWWxa+OghgZ+fPZp/PZdZ/OeQw9IEJrbX1jMuX+6kRsWLIymTGhpgXTZO5wjqaDL3Wkewj5g9BGTlkNb+qsGQw5/Jbkmd3xJyMTyqprdxPjTBtqX1F6qfVD+0roNXPqX27n0L3fiuikLtFtY7ATEuUlPT09qvd7eXp555hlOO+00o/y0007L5D533303Rx11FD/60Y/Ya6+9mDp1KldeeSVdXV07/Dz6izeUWHZ3d/PVr36Viy66iLq6SOb7wAc+wN///nceffRRvvGNb/CPf/yDd73rXeHxpqYmGhoaEvYaGhpoampK7evqq68O52PW19czceLEHX9CFjsQkbM8jSTGH4D98j10g/ADbvGGJ2/trH7SytoLh+E5R4XLehmQ5hKPudh+JBn2PWpVIyccREwct9j90drdzf+7/5/G2uIh4kQpizzG90kpL4W+bsOMfuZNmUqv49+Ts173I9/lQMfXnz4H266EjD731RX8dZ5d6tFi8NiRUeETJ040+Ema5xFg8+bNuK5LY6OZIaSxsTGT+7z++uvMmTOHRYsWcccdd/Dzn/+c2267jc9+9rM79oIMAG/YTOdCocD73vc+PM/jN7/5jXHs0ksvDfenTZvG/vvvz1FHHcWzzz7LkUceCZAqY0gpM+WNq666iiuuuCJ839raasnlLgzPa8KnXj5J82IsUtFCT9uPP2/i6prTG9WQ5dH8SmNZu5gUrdoaap10qCnbxPjGG1i/4evgPY6QmyOPo1CUUQYBPSIojizpnhwZdCw1ST4ilCLQyCVFdw3luZHZF81it8P61naKnuk5cxAMr6pia2dnglhV5vN0x5coFMm34Z2eIYMn2hqNSkCRNAGdFRU8N3Eyx6x8jclbN7PXli2sHTGqb89h9tCTBDKcfxLz1Pbnl2RK/9EcZsHrm7b2w4iFRQYGOUcyYQNYvXq14VyrqCidszjOc0pxH8/zEEJw0003UV9fD/hy+nve8x5+/etfU1VVtT1nMCi8IR7LQqHABRdcwPLly3n44YeNC5qGI488krKyMpYtWwbA2LFj2bBhQ6Lepk2bEkxeoaKigrq6OmOz2HWRc8YFOS39LS98f53aVLm+r9+sIlbuADktNYso18oxo7eJ2VFR26E9x6M8P4HWrRdRzp2Uia2R7I1GCgNJPW7RCc5HSellwgkkUFNWF4GPssxxcHDI5+0PoT0N4+tqcdQvmAASycxJe5syMj6x6ikUs8lYbFpI/H5M1E9r28eUk7g8P3efaL7occtfIYE+7MWdiWnnrKaTqOOpDUuNVdvCfqVk8qjhyfFaWOwExLlJFrEcPXo0uVwu4Z3cuHFjJvcZN24ce+21V0gqAQ466CCklKxZs2bHncQAsMOJpSKVy5Yt45///CejRo3qs83ixYspFAqMGzcOgJkzZ9LS0sJTTz0V1nnyySdpaWlh1qxZO3rIFjsBAt8ro9JNqV9k/q8yoe1j7mfai2RwAMqybeg3vQOptst4mkJhYeBRTc7VcsAnDCn21Hu9z5xICuO6jZyQSNmLxZ6FguvieTHXmoSxw2p53xHTE+UKmXMh+ypTjeP1+iObpxyfu29ELGe9lkIsS2Egzp54oM4A6mcd7y0W+6hkYZENFbyzvdtAUF5ezowZMxJB0A8//HAm9znuuONYt24d7e3tYdkrr7yC4zhMmDBhwOe9IzBgYtne3s7ChQtZuHAhAMuXL2fhwoWsWrWKYrHIe97zHhYsWMBNN92E67o0NTXR1NREb6//0Hzttdf47ne/y4IFC1ixYgX3338/733vezniiCM47rjjAJ9tn3HGGVx66aXMnz+f+fPnc+mll3LOOefYiPA9BJ7cgn776W5+M3LafMwoD6XhqVQErqhJ4fl0Gzq5dOLHQtuCnJwD0ieDTuBNdVLaxe05iEzJQvfK5oP3ek3P25TazmL3xeaOzuiNRu5mv7yUEZVVXH/Ruzhhn0nkZDqhihPM0CtXYn6hAYmRTF29x9X2tZyRxjhdWNw4kW2VvpR27PJXcHRZXyZtGPZc/HyUXqyO3j52XRK24/M33dhYs85ZwLpt7aVqWViURtr3bDDbAHHFFVfwpz/9ieuuu44lS5bwxS9+kVWrVvGpT30K8Kf9fehDHwrrX3TRRYwaNYqPfvSjvPTSSzz++ON8+ctf5mMf+9hOkcFhEHMsFyxYwCmnnBK+V/MaP/zhD/Ptb3+bu+/215g9/PDDjXb//ve/OfnkkykvL+eRRx7hF7/4Be3t7UycOJGzzz6bb33rW+RyUfDCTTfdxGWXXRZGR5133nmpuTMtdk/kchMQYmBRmwJfj057qEgwVynJZT960oif0Az7D++tJsFFaHJdbL5kSC4FXh9/SZwU76iQAily5HKTS7a12P0wcUQ9tRXltPf0GnfG+tZW/jD3aR54aRkXzpjGnFdXRgeNCb9E97xGsBJTJvU2eplGwlIlc72flEqe4zB/ylTOWPI8w7u7OGTdal7ca1J4vD/eRT2zktGviO1nrQSkjy9t3Bn7+zf2rZZZWOxquPDCC9myZQvf/e53Wb9+PdOmTeP+++9n0iT/e7d+/Xojp+WwYcN4+OGH+fznP89RRx3FqFGjuOCCC/je9763s05h4MTy5JNPRpbw75Y6Bn501GOPPdZnPyNHjuTGG28c6PAsdhN4biuZEQVpD0kIH7Bp0dYSCeWa97En4z4sYVuHI3zymLbkZJo9ddiJkc5S0G0LXKS3DZxh/WhpsbugqqyMX7/nPD596110aGuASwkekpXNzcx5NTvxcQIpknEqaYuRyiwbpfpRbefu4xNL8KPDFbHs02tIktQmxqpe+/JCJhr3Xbelc+elW7HY/bEj1voebPvPfOYzfOYzn0k9dv311yfKDjzwwIR8vjNh1wq32EloDx8m+sNHTeT3ZWkzujqLVEKQb7JSO9YjjXYqP6UjII++LGSULkivS4m+1DFlT+W6FNqxtMACQdS3WppStQWQ0uZe3RNx7OSJPHHZpXzt1BNDWVq/s7Z19fh/iOOScly6VhJzluQWk6MT9ZR9HWlSs0pwHhybOzmaZ3n860uBmGyehixZQY1BO5+S51TqXL2Mcte3t7nNEkuL7cSbLIPvKbDE0mKnwMlNCiKto8Tk8f+A1DIDurdDI5ZON4l2fqZIJyzJ4UdjCwR5VVNqUnXWH4egLLJnEmEgXO9c/69MOjhBUvZ8UNdB4EhBjnKc3JTtu6gWuyyGVVRwziEHUl1WZtzFAsHhe41DTV007vAYAdXVY1LKw60v75+Mvcb3Y+/XjhjFyhG+rHzY2pVUFArRd0Okt0nsa9/TxFj7egDH6sR/jBoyvozKDhhrpXALi50BSywtdgqkuwFZ+vHXPwgiglqu3c4xKVwF5UTNkvsi+CckifoTLN6n0c7/T+pnJBJNwijxuEdUCHAoIr30BLgWewZGD6vh9+97B8Or/PWsK/J5rnr7W6mtyBurSem3nYy9h/RbMkQfJC20lfGDKcv2gr33BaDcdTl07aqEjP2GIbCfdR2kXi/mjW1qacPCYrDYkQnShxossbTYSShkPpB8Ype9dKMT20KSmBfI8sBGh5deJwPKaxpJ1SpPZSSX92Uv8oxGW16zqR9L5r8EbLqhPR5j62rZf/Ro6ssrmFBbyy0LnuP6+c+mfxV0ibgU4lJ4P8meAEM2j7ztSTsL9t4nbHfUytezZXjX34RHekR4hiez5HhLeWC1/oU0x37DnAV88De38GrT5j6vhYVFAtsrgw9hOdwSS4udAie3N0LIxBcvkvJ0iVxrB6gVEQT+q4oXkxLkSH/GpNPsJaRwv1LKYGTUdyTZieDBLkK53JEp9uLnpfWZwxT49fyW4bmEQyhH5CaVuGIWuzvae3r50PW38uzqtbR29fD65mZe37yV3qJrPoT06R19Qbny0mToNK+isq1eRQp5jXcsYcHEfcO3M1a/nilpJ5z8+ncL8zuWei4pYzXOJbavxp92rXqLLs+vWs9H/nAb2zrsfEsLizcLllha7By4a3yqpT0RlIcyLXelelVpf6Kl28x9b7R/S4vNHqnZaTOk7ch2VmL27PyU+vidcF+YydLj9oRpL0cvuAOIDrbY7fDc6nVsaGvHjSdM19Ff76ROurSgnpBkpZBLkUbOXJJELkYGAdYMH8mGYf5qZkeuWU7OdfuWw2NEs6/5oYnzDM4tdf103ROahqCu50maO7p48rXVGRUtLLKQ+Pk0yG3owRJLi50CGXgA8wjKcKLgGdIjwaNI7tKitlTEsgiixZ/z6ARt87FN2VPHc8EyjKXsq7aqXRkO5eQoFznyIocjnGDfIRe89/fTv2o5IaIE7xl1LPYM5JxBPmTSZDXlcYxHmWseSREnm3GbWsBQ3OOoy+Ii8Nwrr2V1oZeDmtb6hE9Prp5CMBNEMjYu45g67mlb2jVIiwYvBQnOYK+9xdCFlcIHDfsks9gpyOX2whHSoImmd0OPDDffI6OUQPEvrxwVJdkXm6OM6RIS3kLVX9r64X0hXGVHeTnDsaZHtaeN1fQqlYOzVz96tthdceTEvZg0cniYJL9fyJKM09x/We9LyOwJ2TpNfg5e9XmWM1a/HrZPPRutrYzby+qznyQxtd8M2VzV23fMyD4MW1hY7ChYYmmxUyDdlUh9SccYGUsrD8uEFoEde8IoKRzA2eAabdV65LqdNIlamY3D0eqq6G5zSchswiAQPqEQRmHQJ+Qogrsis73F7o/Ksjw3fvQCTj94fyaMqOfAsY3sO3o0Y4YN49Dx4zhobAPj6+uZsfcE9hk1ksbaWmbsPYG9Rwz3Dei5H11/SdDMeYlp3r1YAI2I1896H+CZCVoAT0AsdYRfRa0/I6AmzT5aeXzJxwykfIVMOynHXl5vA3gsBgjrsRw0BrzyjoXFDoGoASkST4a+orfj9fR5mVJK5N7RLZ1b6eIdV9qGE8jPkmi9HEf4vki9LMMAxuo8KePXV+Lxs2aWMCfsqjt7OsYMq+Fn7zkbgL89+Tw/uO/fuFLS3tnNTy84i+P3n8xVtz/Is8vXANDS3klPwTWkaQXP839cSWk6MBOevDRkfc0U6ZSx5gJeG93Itspqhnd3cuSa5UHHItHemOOp2433GSOv4TnobUVK/bT+9OMpX7KairKUxhYWJRAEiW63jSEI67G02Ckor/kIiDyedEKpbDBTnZ1YEAyTI2LprCiG+4p8Ru9jXtAUb2naeyB8gEWkMuWJZ8iNIqwvM3/G5pHCynVDBS+saeK/7/0XbnDzdxeKXH7LfVzzyFzuf2FpWK+n6GaZCBGtYT+A70+WLB23rR2TwuH58ZMAGNHVwcTmLQPzzJQghpnjLjV9JG1ff69t44fX9WOAFhYWOwKWWFrsFOTKplIz+m56nXcgqY3mO2oBNGr+Y/y9vq+vTS+EQE6JPBPOcp9Ypj244hK7IomZ8yP1toZcnuaKIViWMiKUJv1MklcHF+GtTNix2H3R3NHF468s55mVaym6Ufjyyi3buG3Bi4m7prfo8tBLr5r8SyNPiRVqdIl7oMhoF/+uGF168OK4vcO309evSid9ylBWv7H90EspMaPa9fHFJf2YDSPoKIV0vmKlcIsBQsodsw1FWCncYqchX34QDeN+QdeWD+L2PKGpagIVxKnUNv05lcPJlKnlhDwyD6IIuRVFykTOmFsppUSmrCFXOjelPhc0HGFKPWH04wXjM1b2Ccav5omaBqzHck/Bc6vW8Ym/3kF7j5/0fsakvfjjh97JHc8u5vv3/Rsv/fcIKzZv83fULxEZqya1Y8Re++uujJO7uD3NTjzH5QuBxxLg0HUruf+gI5O2M5z4iTrBvh61Hsr5ijB6qU1Mwk3KmPU6wMhhVSUGZGGRgv564vuyMQRhiaXFzoeoynwoxqdw9TkHMy+Qe+cRrxcRy4vgyYRfvr/zOFPHQwohRItS70dd3RMaHc+BqB70uCx2HUgpueKW++jsLYRlz65ax/8++Di3PPVCIkpaCMwyjVSmdxB7jZdnDowoYEyvnmYvw9aisRPD/enrV5l14+xQL88aa4w4qzmjfSLNXglCWx8so2lhYfHGw0rhFjsf3nrz4ZLC+9JW0XEwV7YRQT15gL+uo+iSPsHU2uipgfoDX3IXMRleraSj5dyMzfVUEedRnkw/dCdPzki6Hp2bB+6afo/LYtdFV6FIU2s7nsaQpJQ8suR1pJbMXJHHilw+WgkHDHKUGfVcat5hfNMTiWu5IQ3Z2NPG5MXsaWipqmHFiDEAHLRhLWXFaB5zJjGN7+t9kiSS4XdKq5vY1+qFSMtvGWw3PvEczy1fi4VFv6GCd7Z3G4KwxNJi50OMMR8u4YNDIGScOkbHAI20CXLBIore9PKwnvNCj5n4WX8oyYg4pm15HD/pOYK8yJET/iri+aAnB8ffU4nNY+cghCAXtHOCJOnx1XsUOUY6kBu7I66mxU5GVVme6vKyxP2wsbXdeK/uwZ7eYpIwpZDMcD8tLY+SlKW5L7zkftxbmEigrpPLFLwQzLOscIscsHGd2S7evyZ165sj/c3/nqR0kuaRTCGXmd7bGO5ZsIQP/+r/uO6Rp0tXtLAIkLiHB7ntDnjiiSf44Ac/yMyZM1m71v8BdsMNNzBnzpxB2bPE0mKnI82HmJXXMq1t/NU7VCOWL/am2Eu2S9rV9mOeSPUa9zzGDWyP5G6xm0Mt25jluROxV71OGmkq5amM7fd518W9kqXqpfTz4vhYAE+sbuoSjKXGOkCSmDnOfuDn981hw7b2vitaWAwR/OMf/+D000+nqqqK5557jp6eHgDa2tr4wQ9+MCibllha7HzITaFErVayCWXmPlYpSQ3gmV4R7jsv9qZI1BE5BPNBrLyVpR7PaUTTCQJy4v/1F0JIZOsPkD2D+4Vo8eZiU2s7v/nXfH54/2M88cqKsHzRmiZ+eP/jdPUUIwk6SGwel57TPIOV+XzyeEyuTks4btjWt1IocTz0bqq1xN1o/8WGGLFUdXSPqOaljEvyqfJ+nOj2hywOhIBq42ra1jqAhhZDFmnfp8Fsuzi+973v8bvf/Y4//vGPlJVFWVVmzZrFs88+OyibNnjHYqfDyR+MV1iCwM/ZJyTh06evANPUdEBj8shxOcR6F/FiTxDAU9rrqfoptfJOGvyo9b49q/2xI7vuxem+G1n7TZyaDw7alsUbi6aWNt7z65vY1tmNAP7yn2f56lknMWn0CD7717synZGJB41OooIbsKdQNOYdJuRwYuXxgJk0lKqXEnDjyOCtTOlfwtIxe9Gby1Huuhy6fqVBHkVKP0LvRx+PIJk6SP/Cx9+noK+/D2n1J44ePoAWFkMWQyRB+tKlSznxxBMT5XV1dWzbtm1QNq3H0mKno6zuqzj5fQH1/NE8frL/JE+Hd7jvtRRtErGkN7OeniKor378gJ3sr8z25CwTApwgt4ps+x+k7DsxtsXOwZ/nPMO2zm48KcME5z+e/QQ/vO8xpFaWhvhcw/CeizWJp9gaNAbo1csKjNHHW8znWTpmPACTmjdT09s9OM9MWps+SGR8TNCP66T9DZFAZ3f23wMLi6GGcePG8eqrrybK58yZwz777JPSom9Yj6XFTodwRlAx+m683ucoNl8KdETHtHXBdcdLX95BObMSHugEIDe3B+8QP92IbytKDmRI7X3Mi0xPlp6+vz0Q9ILsQvbMQXbdDyKHqHofouIYpCxAx7XIwkIQI0CUg9sEuQbAA3czlB2MGPZJhLApVrYXLV3d/O7fT7Jy8zYa64ZRcF3mLFuJ58mIBAkouh5bOzpL86uUg3qRQTLjns202RlxKT0rCCbWiU6yjDyRGT/i0u7rlxv2YnrTahwkUzet57lxU9K9qCkeUeM1bbxpY0jb12zF/z4krqtmYEt7FxOs19KiL+wIKXs3kMI/+clP8oUvfIHrrrsOIQTr1q1j3rx5XHnllXzzm98clE1LLC12CQhRQa7iWNzymXg9/w5lcV1qVlKbooWlVvL2josSIou5XYhPDAcgRy5speeZTEtYnkUy05ZIHkydtLqedHDFRMq770O2fsOn1FIgu+9H1P8Buv8BPQ/6Y816kvY+Br1Pw8i/IESuf4OwSKCrt8AHfncLKzY3G6mDAFPqlVBdUcb44XW0dm5KJ1axZv2Sy+M3dylJO86kYqQrrZ6jvVX7qeNLOY+Xx+wV7h+4cS0Lx01JH0/cYClkSf7xMWRI5KnkM2bbcQRTGkb0YzAWQx5DhFj+13/9Fy0tLZxyyil0d3dz4oknUlFRwZVXXsnnPve5Qdm0UrjFLoWy+h/g5A8O30sRBeIg/InFKiLbEU42+TugDDnSv73FvG5wZVg3a9nG/gbe9IcwZtVR/MQjF/3NEdGEaVc0Ujbqt8j2XwfPT4kQHkjobvkl9MyGwIOr5NJwX214UHgKCov6HqhFJh5fupzXN21NkkpIeBC7egpsa+/MtJV3nLB+Ppjvq8vdOe3HU1pXWbKx/vmXPB7blMnwvUwej9vSyWKcWCbqDgKZ0wQyxpN1bjopjtvxPMnm1g4sLCwifP/732fz5s089dRTzJ8/n02bNvHf//3fg7ZnPZYWuxREbjRlo+8AdxWQRzoN4K1BiBpwhuN13oZs+1ZY3xEifW6jI5CzqhD3diBaPcSiXjgsWxp+s1IDSQQbix9g7PgvAT3gbUXkJoK3DWQH5bmJCFGGJztND4yQSK9tYD8FpX2Abg/0lXP6ggS6C270JsDYulpu/sz7qK+qZE1zCyOqq6goy7N+WxsNdTUAbGztYPyIOrp7C1z5t/t48tU1oQ2dJMmYSzG5KpVZJ0FIRequ1pi+SWFwfNnocXgIHGT/iGUfdhPytv5eHfS0yn3ZS/GyqqYdPf3/XC2GMIaIx1Khurqao446aofYssTSYpeDEA7kJ/v7AE40gdipOhO3/cdI2YHAC0ilCB+yuqwsj6uCe31yJR7rhMP6Xi84jMYV5v6OgBprsfxchFMD1ETrg+cazcoVb0V23+17HwEpBd25U6kS9yG9jQjczLFKCQgH8lPfJLq8Z+LAcf4KM4b0miJFCyHYr2EU0yY0ctezLxkezpMP3I+GumEA7NswKizfrzHarwuWG6wuL2P/xtE8ucxfgcnoUvPQqfmQUlVSkCUIml6WNQeyHw9B1X9XWQUrR4xhSvNG9tvSRN51KeZywfWIbGXwu3To11R/myH7Z6rsKVMJ1DzLnCOY0milcIt+YA+OCn/Xu97V77q33377gO1bKdxit4JwRpIbcR3C8Vep8ajBlT5hdKlHivJgfyTeKbVRu39my5SGfc0TpO9vDxTPcKllc+5HTBhzeN/jqPsWouJtSARSOrSJ9zBizBcRI69D5Pz5bJIKPKGdoz5uPIS7fPsHP4Tx+satmaSmvrqSMsf3cx8wdgy//+j5fO28Uzj1kH0R+J70M6YfyFfPOX5AfW5u7UjIucT2Q9IlSRLC2H5/ZO3+Esq4xPxygy+HV7hFpjRvSDZgAKQy2TRdDs8aaz+9ra4rWbO5ZRCjsrDYc1BfX9/vbTCwHkuL3Q6i/AjyDY8jZTc51BzMHvKiEikl0EteVCAbPeT+dYhlHfBMNzS7MGLnBLNI6ZDPjaCxvqHPpO8AwqlBjPg1UvYCDsNF8FV19kWMuR8pe8hRjhACr/1aaPthSp8edFyPbP8d0AUVpyLqvoNwhu3Yk9sDsKW9k6//34M8vXwNdVUVfOmsE5FSGiRO7f/0fWdxxqEH4HmSoudSno/+jP7sA+dScF0Egnxu4L/bU+dzps27VB5LTyOaIpLD+7zD+ivRlXA5vjxmPGcufQ6AAzau49XR/7+9c4/Porj3/2eeJ8nzJCEJuZCbhIgIiIaiQivQekcQxfvxXitHtFJvhyKnp9b2SHtOxXpO0R48WmtR6xXbn1pt5YhYrxRURGjxWlqRa0JICLknz2Xn98fu7M7Ozj7Pk+TJRfJ9v15rdmdnvjO7BvbD9zvfmcoUjfr3JTyLKnZY3zo83krVkyx7mZXpALwv64IRw4Z0bMk4VLd0fOSRR/rVPnksiS8tjIXtRB6xtI55bq1hyQLApbPALxgB/j9lQEg/H5Nzx6vody6udW1Tuc+YAR7fDaNpAYzo5z14xiww5v33H2MhZ/3N8GxwFobBzT/OBg8gikogvgO89U6AHwB4J3jXS+DNt6Xc93CBc44bH/091v99B7qiMdS3tOPfVv0fOrqt7UC5I2wCACZVmtMWAgHmEpWCzGCwV6ISAMoLLA+0Es7VzZeUlwdi1jjBFREmn+s8nDLqfV176frT0tF200k9nWeZyGuq87oq9jzeTN24pT3VRf0MxjCmdKRmcAShoPtz05tjGEIeS+LQ5ifPg7c/iFjbk+A8jjgrQwZqETcygEAxMlCHKM8BC4ywzgvAApnIQAO6jSIAcYQDdWCIaMPiydaxdN83wDlH44FXMars22l7RJZRhUDRY+g+cAeCfC+ibCKyS5YBrT+FmQtv/u3GYIB3rwXn8R4vQ8R5FOCtABsJIArwdoAVpuR97S8Mg+NgRydGhEPIyui9J3p/azu27t7n+ggEAgwvfPCpKU7kOYMGsK2uAdX9tA5ibVMrmGFNzdLMFdSWQbkvu/N09ZV5mZ5zpZ3LKyjV/0zyUE5o2Ou8K51tvzJdP0q5r+gUY/Jrp6kSNzi+2NeEY8aUawZHEMOP4447Tvv3OGMM4XAYRx55JObPn49TTz01ZZskLIlDGsYY2IiFyBqx0LdOZpJzo+U/wNufApCO3XA42iMBjEqDJZlA1rHILn8BAJBllRnI9MRFOQ+ip4EK3vEMeMtPAEQBlgvwDgAcCB4JFP4SLGNMMhNp5+M9+3Dz439AXXMrMoNBfH/eybhs+pRe2coMBm0BY0dPDQ4uJt5ztX7/BXqygkHzL3m/cK1PsZ0RDkn/cbcWdCX2cHcZV9q5GziV5H6awnk4EM5FUVc7xjXWufcwTzJeT2a3JikKyvNoc478xprgOXReZoIYrpx55pl44IEHMHnyZHzta18D5xzvv/8+/vrXv2L+/Pn4+OOPMWvWLDz33HM477zzUrJJoXCCSALLvhhgATvUrAuR+13L5wYPoCteAIRmD8zAA8WKqATiPfQy8sj71kLt1hItvB3ii83j28GbFg74nLXOSBTXP/I86lvaAADReBz/8cJrePcfO3tlLz87hJzMTHfCDAe+UlWO0vwRzpQDxnBYYQG+Nq6q7w/hwyUzv5K4QpL/dVqvefJmevM+HkfZ3j+KTc/fqI5W5Hf1YHkrnQDtmZb2b6804FJ5MMBQUZgHgkiGmF7Sp2OwHyIFGhoacOutt+Ltt9/Gz3/+cyxfvhxvvfUWlixZgvb2drzyyiv44Q9/2KN1LUlYEkQSWOZRYEVPoot9A21GDdrZbHSyr6LN+AraMAdd7Hi0GceZ55iCVuOraGdnoAs1aDFmoJ2dji4cg2bjNDRmPY7qUf0nTFzE3fPeGAMyUA/OY6nbiLwDjqD2L0iGOBD/O3hkAwyjHTz6MXj0037f53z7/gM40N7pbKvIzSzsNVu9c1d3Nh7E1p11aJf2h47FDXy6dz8+3bsf7V0RrPvsC3Qqa1YyMDS2tuPpGy/DKZPG4YjSYpx+zHg8deOlyM7KVLtJG9PGjcaD374Ax40djSPLR+EbRx2BY6rKzfdvwJk3KDys3EkQkJf5scVfAsGmyzj3q+cnTj8vcpbJGndAyQzXzTPryZw0qVPXWJXn97PtGrdVLx7n+NOWbeiktSwJAgDw29/+Fpdffrmn/LLLLsNvf/tbAMDll1+Ozz77LGWbFBMgiBQIZB2LEeW/TqluToLzYgwggXyAB2BvCA3A4NkIoAfzEVm+ObEwkfJomg8gAxyWYM34ClD0a7DAyF4MOjkjwiGPCDHi3EzWEtcGx9JnX8VzG83dh/KzQ7j/mvMxpngkvv3Qc/h0735zqIEAYnHD+09sBgQDGSgfmYf7rj6nX57DjxkTqjFjQrWr7KQfPoCD7V3+jeT4cDK480P7DwadEPWx/Y8iZ67iuMY6bK48wtWHK7wuzzeWinRh+4Shbc14RZY8k57Nb8x3PLEW9/5+He674XwcU01zLQkfDuF1LGXC4TDWr1+PI4880lW+fv16hMNmUqxhGAiFQrrmWkhYEsQhCsu9FkbXGsuDyBFgBpoDN6CkJwk32ech1roSQb7PSgLi2nArR8yZ9xb7CGi5E2zk3Wl4Ci8jc8IIMoa4EoIvz3eWUXpu44e2qASA1q5u3PLoizh+7GHYVtdgl8cMQzyA4x1jDKGMDFz4tcn9Mv7ekBcOJRaWgG8o2FWm/L+zp+Cqcx792itlsrA84sA+dz+Gt76Ma+qBmmjEYW9g7reLTqKxyXNBdbS0d+G7D76Il//zOgQCQ//jTwwCCbz9PbIxxLn55puxcOFCbNq0CV/96lfBGMN7772HX//61/jBD34AAFizZg2OO+64lG2SsCSIQxSWOQmB4mfRcuAxRGPtiGeeirJR5/bMRqAAmaOeQ3PDLxGOr0Um2+sTFpfP44h1rUNm9xvggcPAYp8BgSJwNhIs/jkQrATnDMzYAx48Aow3A0YjouxovPsFQ3t3BMdWV6J8pH4u3M7Gg4gb7r+xGRje2fYFTjiiAjHDwP9t+QwBxux1ITkHDrR34t1tOxGPayY/WR+R/Jwwpk8Yi0umT8HXjlB2Q/KhozuK9/6+E9GYganjDkPRiJzkjQBwzvHXL2qx90ALDi8rREtHNw60deKYqjKMGTXSVXdfc5t3vPK58LjKWexMoxcV8Wb/I0HN6Nb1o6n7eaEUCm+sc+objm3XGNRXryTtuC5lYZrCB9qVkK6KUSESrHdicI79ze1oautAsbW1JkEMR374wx9i7NixuO+++/D4448DACZOnIiHHnoIV1xxBQBg4cKF+M53vpOyzR4Ly7feegv/9V//hU2bNqG2thbPP/88zj//fPs+5xw//vGP8atf/QpNTU044YQT8L//+7845phj7Drd3d1YsmQJnn76aXR2duL000/H/fffj9GjnXXRmpqacMstt+DFF18EAJx77rlYsWIFRo4c2dMhE8SwJZA5ESPLfto3G8FiFJbdDqM1C7ztYeiy411baXIggzWAN5lLKqkaSD3nANojmfjn352HT+rNfPlwZgYe+OfztYkyJSO8QoBzjne37cCVf9vh2FYnBnKgtSPiCB11TiJj+ErVYVj+zTP9X4ZCQ0s75t/3W+xsOAjADLmvvOFiTDwscd4/5xw//d1r+N36v3ruBQMBLLvqTMw5bqJdVpyXg7qmVieszL0ijCkiTeDRi7InRvUS6iZTyjFr8b6snwdypMzwA3XeOY9WO8++5lwJeysKWDtmSPV8ntXVXlNPDpUHGENedurhPWKYMUw8lgBw5ZVX4sorr/S9n52dfDtkmR4n77S3t2PKlCm47777tPfvvvtuLF++HPfddx82btyI8vJynHHGGWhtbbXrLFq0CM8//zxWrVqFdevWoa2tDfPmzUM87nywrrjiCmzZsgUvv/wyXn75ZWzZsgVXXXVVT4dLEESaYLkLEGejwDlzluJJQqp/rz703vH4bL8zA7U7FsO/Pr1am3EeyszQLp3jGwKW7tvhV1nEWF6sUEYGvnXKtBRHbHLPH9/GngPN9nVbVwQ/WrUmabv1n+7QikoAiBsGfvjkGnuBdgD4wUWnmUtnAf4vVS1X343fe5K9hbr6umsJkcCjzQxP1j9XjkTjTmTPr77URv2NzQgEEAhQ/iqhp88Z4Rz6+cpDlEgkgt27d2Pnzp2uozf02GM5d+5czJ07V3uPc457770Xt99+u73J+W9+8xuUlZXhqaeewvXXX4/m5masXLkSjz/+OGbNmgUAeOKJJ1BVVYVXX30Vc+bMwSeffIKXX34Z77zzDk444QQAwEMPPYQZM2bgs88+w8SJE7X9EwTRf7BAETJGvYjGht8iz/gNsrDfuScnZihJGqmw/cBIGJJY5RxoaO1ARySK3FCWq+7uA82uMKkQRGqWs0uTavKPLvrasRhfXoydDU0wOMO4siJ8vGMX9jY04Kzjj0KO0q+Of9Q1usLyBuf4fN+BpO227zuQcFpjJBbH/S9twNlfnYRJVaU4+Zgj8PTiy/H0ug/xwgavIHUJbfVB41KZZhFz++MnQudyfZ44qYZx4POickzba2bkH3FgH7aIBB4dicS/PC+TKeOG+XvF5brS+Gw7qidTnecpmY/G4jjY1omSAgqFE8OXbdu24ZprrsH69etd5ZxzMMZcDr9USescy+3bt6Ourg6zZzvr9IVCIZx88slYv349rr/+emzatAnRaNRVp7KyEjU1NVi/fj3mzJmDDRs2oKCgwBaVADB9+nQUFBRg/fr1WmHZ3d2N7u5u+7qlpSWdj0YQBIBAcCRGlX0bxsHPwTtfAGPmXzpqKLynG/KMGdmMAOOOuORAdlYmcjRL+1QW5jvzJ7m/eHUJDqW8OH8EfnzxqXbZM3/+C3767Frb7sOvvY9V370C+TnhhOMeW1qET/fst+dyMsZQWpCf9HlHlxT4e3OtG0+8+QGefHMzfjb/LMw+bgImjS7Dv188Cv+38SNEonEn2UjXXhaSkk3Xfa5U13kuofShijcO/KNQygwXwlLpQ/c/yePNUf4hoBu33/9Tlw0RWjcUUayQEQhg5IiehfiIYcQwCYXPnz8fGRkZ+OMf/4iKioq07KaW1jhAXV0dAKCszD3pvayszL5XV1eHrKwsFBYWJqxTWlrqsV9aWmrXUVm2bBkKCgrso6pqgNYKJIhhCMu7FTGWvqVavn3CBxhX3OQqM2J6d1PxiBz88ILT7Gzinv7dnREM4tZzHFHZ0R3Fz55/w+zTEoh7DjTjf9e8l9TWonknojjP8XhlBoNYdM7JSdtFo/HEA+emQDc4x9Kn19pTAjjn5vqdSl0/GwImHa57CYR5UiwbO0Y6f1ePad6fOCzdQ9Qpn0wp9zyXMjadDYHB+YAv7k98iVCnafT2GOJs2bIFDz74IObOnYtjjz0WU6ZMcR29oV+ywlXFK1yqiVDr6OonsnPbbbdh8eLF9nVLSwuJS4LoJ1hwFDJHvYj6xj+hKL4UGazDudcLpZIXiuCpy5/Fn7+owl1/+gb2teYhasTRGYkhJ+T1Wv7TCZNRf7AV6z7dibzsbJwxZTwOdnQhNxRGWySGzq4uTKwsQXNHF/Y1t6NoRAiv/XUb2ruiOOPYCTj7uHG2rab2DmfZIecpsLepFckoGzkCv/+3q/D7jX9Dc0cE0yeOwdTDk2/YWS+yvBN57SzauyL4z2f+hLOnHYXq0kLEYtISSbJHUONl1IWw5WkCvh7ARBniyqvaWVBin1cf3O8RdVz5yGp/PTQJQ9opFYm84cr4kv0eGgZHS0cXZYUTw5qjjz4aDQ0NySv2gLQKy/Jy04NRV1eHiooKu7y+vt72YpaXlyMSiaCpqcnltayvr8fMmTPtOvv2Kbs4ANi/f7/HGyoIhUI9WsCTIIi+EQjmobz0fBgH/gAeWQ+GvoXFs4JxTB+zB61dYQQAlBbkaUUlAPz4t2vx/HsfIRhg4BzYvm8/nl3yTRTkekObn+3Zj2/+YhWiMXN8n+6uw8jsTFxsbZ9Ymj8CBTlhtHR2SVtxckxKktktyMsO46qTkmzFqHBEubJUPld+yuFmBjy/4UM89+et+O8F85CTlYnO7qhLC/olCfh58pgiSD26VA5ly25CzVzVuhEj0R3MQCgew5jmBrdtZQzafgLKtTqGZOVyPwlC/q7BcCCUlYHCFJeGIoYf6Ui++TIk7/zsZz/D9773Pdx5552YPHkyMjPdf+fm5yef2qOS1lD42LFjUV5ejrVr19plkUgEb775pi0ap06diszMTFed2tpafPjhh3adGTNmoLm5Ge+954Si3n33XTQ3N9t1CIIYGrCCn4IFpegAk3b2Yan/FRONZ2LJi7PRGc1EXk4Y//PP+h1vdjc24/n3PgIAxA1urUnYhkfe2KKtv/JP7yEai8Pg3A51L//D2/b9zIwg7vnnc5CT5STrnHTMOHx71tSUx95TDrR2JF1AXC43DA4OYPnv30aXtf2kbxg4Gar4skhqyydszlkAu/NNoTy6uQFBedF5TVtPCFvjte37LC/Hlh/d0Rgisf7dfpT4EiN23unrMcSZNWsW3nnnHZx++ukoLS1FYWEhCgsLMXLkSM+UxVTpsceyra0Nf//73+3r7du3Y8uWLSgqKsKYMWOwaNEi3HnnnRg/fjzGjx+PO++8Ezk5OfZCmwUFBViwYAFuvfVWFBcXo6ioCEuWLMHkyZPtLPFJkybhzDPPxHXXXYcHH3wQAPDtb38b8+bNo4xwghhisGA5UPJHIPoxAAYEq8HifwdYDhAoBzqfA9qS7MIz4laEsi/G4gvjuL47gokVo5Ab1mdlt3R4d6BhjKGhtUNTG2hq67QFpaCzOwrD4PauK9PGjcaaHy3A32obMDI3jHFlxWmZxO5Hc3sXAgAMKUnF5ZyTvH7yKOqaWhLuKONBzrJWTtV+bHxC3p63IRXsLBiFcU37kGXEUdZ2ELX5RaYZ3TRZxQvJDOtU8p66xqLxTvZ08XRXXWkR+c7uCMJZtE8IMXx5/fXXfe9t3ry5VzZ7/Cfq/fffx6mnOhPfxbzGq6++Go8++ii+973vobOzEzfccIO9QPorr7yCvDxnF4177rkHGRkZuOSSS+wF0h999FEEg46n48knn8Qtt9xiZ4+fe+65vmtnEgQxuDCWBWQda54DQHCafc6zzwdvWwGOLjBwZ34fg7kmJstCMPsCsGARJlYm7+vw0iIrdN1tJ18YnGPqEaO19U+YMAbvbtsljZVhUlWZZyu//Jwwpo3T20g3Ew4r8WRj2+OTLxRhFY/zxGJQlPvM3WT2f6BfzFwzJjW5m8ttLHYUONMGxjTvR21ekXsKhE4gWqF1XZ8efLysPUJ+Jg5khzMpK5zwJx3JN1+CUPjJJ5/sum5ubsaTTz6JX//61/jLX/6CRYsW9dhmj4XlKaeckjCTjjGGpUuXYunSpb51wuEwVqxYgRUrVvjWKSoqwhNPPNHT4REEMcRgwRKg8H7g4C0AbwWH+Q9Ihjg4y0Vg5L1gQe8qEH7khDJx/3UX4JaHX0BjawcCjGH+aSfg/K9O0Naff+o07KhvwgsbPwZgLhF07z/P6/uD9YHdDc3JPzqyGJPL/K7V+qmElHUiVVOkO5cFppzAM6a5Ae+Onqif2yj3m+pHVycqVfGsK1fPrXritLMris7uKHJ8POPE8Ga4zLEUvPbaa3j44Yfx3HPPobq6GhdddBFWrlzZK1sUAyAIot9hoa8Dpe8ARgOCgSKz0GhEMFBiejt7yOTqcqz99+vQ0NKOgtwwsjXrXQoyggH8xxVz8K/nn4zuaAwl+bn9GuZOha5IzNzWUJdgAqfMtfUhHI+jHcZWPn7yHtnaJxShYLjraH0FyV6R5AXdme94LKsP1jt9qFNsU0nOSZT1ncqHmiteXcas8XAwxXgkFgel7xDDld27d+PRRx/Fww8/jPb2dlxyySWIRqN49tlncfTRR/faLu1nRRDEgMBYJliwAoyFzCNY2StRKcgIBlBemJdQVMrk54QxqmDEoItKABhfWeLNBId++R9Pkg6HZ8s4V2KMKNccan1dH66kGnmMyrnoCxzYJXksq5obnD5UMcj0tjz3VaRxJzw4N59fLfOISo7ccBYKchMvgE8MY3z+DPX4GKKcddZZOProo/Hxxx9jxYoV2Lt3b8Iock8gjyVBEMQAs73O3PZRl5fimm/oF0IOwBPq9tNkcjvOJHHpF2ZXy+VtIDViGAD25xSgMyML2bGIueSQbJP5t5NhkDynsutVHZ+Ka9KuMhvA1b/bQHtnN9o6u5GXZHclYpiShlD4UBaWr7zyCm655RZ85zvfwfjx49NqmzyWBEEQg4xLiMmHAc/HicHMpNZ9tGSPJJPK7HI1FK2bs6n0z8Q45EOtxxh2WUsOVbY2ImjEnXFI3lKXZzXRuQEwg2vbusfLnXGrOxKJZzf8+1dD4wQxXHj77bfR2tqKadOm4YQTTsB9992H/fv3p8U2CUuCIIgB5ohya56pJiQsh3L96kDcV8PKcIfBmWw32aCU8LZWuPqcgwO7881weCY3MKqt2TVm5jnnAOeuc/kw55Iy51w7Xu7yUoo+1J1+XGOVxGVOOAu52ZS4Q/hwiIfCZ8yYgYceegi1tbW4/vrrsWrVKhx22GEwDANr165Fa2vyncf8IGFJEAQxwPxtj7RDjeJFlC9tkReHfk1IqZ22TOfZVD96cj1JmPXIw8g59o4otLuobD0geRBltQe4MoVkj6MsiMU94Yk0JOEpzmHekxOQtPNLde+FAx2dETS3e9dEJQgAh7ywFOTk5OCaa67BunXrsHXrVtx666246667UFpainPPPbdXNklYEgRBDDAi4UifgGJVkjyNnnt+CJEowr9yuXXPJb4MM1TsJyJT/TgyDtSOKLKvK9vMOaSmKLT6MKRrrhxwX8vCVn52MdaAYR6qd1brrU0w/lAmpRkQhGDixIm4++67sXv3bjz99NO9tkN/qgiCIAaYyuJ8R/DoklsSiTndPSVzx3epod7iXtXesSd1JHssK1oPJEwmks31ZFza6txbJ9F9QXYok3bdIXwZbutYygSDQZx//vk4//zze9WePJYEQRADzN/3NLjDZWpCjB9yfflatDE4mAgZWzgeSPd8Rc/8Rm1/yoBkUSl+Gl6P5WFtB2yPqToX0zUmX+UJb+ife7Ss3suq3HclH4nHiQOdnVG8+cE/0NEV8RkEQRC9gYQlQRDEAFOQG3bCt2JbQzV0rcLd9ZgcUpbD2T5izQwNu0WiO+ztJy4ThK6lMdTmSqHw1ib9GOxxwB0iV7v28+CqwpvrBaVclwEIcCWEbpV9739exMX/9gh21B7ws0IQRA8hYUkQBDHAFI7I9s+wFujEVNIQuWRJzbZWy3ULxdseSakN9zmUrtuzwjgYMvexqWg74HgJdc+gCELbq6gRjvY6miI0yeD/TpTxpbKYUGNLB+548P9SqEkMK/x+73t6DENogglBEMQAs732gGu6ooyT5czdi5MbihZMKAzlMseuS3tKS/m45i4a3N2nsKGLN0sLpzOY4fCR3R0obW9G0IjDCATB1WeA1w5XTph6z5DK/BZsV98lc4fO/YS8YXD8bVd61u8jDh2G8xzLvkIeS4IgiAGmvCjPN/IMwBR9UhhXhG/dmc/+BuxMapFFLYexDc1HUxfmlkLrnjUz4W4rftZaCTwZ3EBZe7MzFtme33ilceruaUPy6rjlI1mYXCI3O+RXkyCIHkLCkiAIYoA5+dhxOH5ilbtQCT+nsqC5K3Qtl8s//draNpKcWzC1nRTmFmJQTuCpaFPmLWq8qLqxevpJFPLuKbpn5KAdeAg9FAbvFSQsCYIgBphgIIAHFl2A7152GsYdNsrtEYzzpOFbu75h1rd/xq1kGN22i/KalX51OMzF2IVtaa1IW7vK7WLucbkWSbcyw2EAGUHnU+MKaYvnUJ7PNQ4xdqmuq55u4XipnT1en20wAaCdFkonVPoqKoexuCRhSRAEMQhkBIP45mlTcN6Mo+wdZDyZ4X4fJilk7Qpzq225IwwBtzjzhL6FPela/kC46kl1ZYGoZoaL+vGo4d6zXGPP9WzyuDi8XkypnqtMHizX96PaZQBG5uf4vGiCIHoKJe8QBEEMIt3dcSfLRPyEcq5DEpLJArk6zydX+/Cx50mkAVzJNAyON3NfdoFdt7TjYJJRaVDEtJqjo6sn969toPNyKufRaKznYyUOaSh5p/eQsCQIghhEDrR2IACAW9rG1npq1rjykXLtWiMLK50S1ChPW5BZIWdPFSWexaW+PHWtew05jrAc1dGSeH9zexA+RbJ4lJ5L3JM/2naGvTpGbr1N8bDq+7Ay69s7aJF0QiEdoWwSlgRBEMRAM6Z0JHjcuZbD2arn0PWd8ptbqFRmqtBUPZRcq+88Iowxnz7hiNyD4VxEAkFkGXGM6nCywnWRas945Puq51JoQqYISkhCUzbMYC2bJNQo97UHzlFcOEL/YARB9BiaY0kQBDGIHGztNOc1KodAvlbv+7Wx51eKcz8UkeaypXpLE3kfrbqcBWyvZWlHc/JxSmN1jUeZi+lbT2fPus8Y8zyL9z2ZNzraKHmHcJNwaaseHMMREpYEQRCDSFtnBEyz2HnCdRgBlBXneQs53KJSlMWtw5DOdaE+ub0QkyI7XD5UYSfaGUB9dj4AoCDSgVA06j/fUSyvZHDHo8i5md2u279c1LX2Q/dmyQtbyeecijYiO74rEk2hBTGs4Gk6esH999+PsWPHIhwOY+rUqXj77bdTavfnP/8ZGRkZOPbYY3vXcZogYUkQBDGIjK0ogqGuQ6nxzKnnh1cWIxgIuMrkjGf146Z6OqF0qUOILzmb2+5L6kfOst6fM9JuP6qz2d2XHBdnzP2cBnePVRbb0r7mTCqTxSdjzBqHVG6d+3l0AfMjOKpQI9IJYhB45plnsGjRItx+++3YvHkzTjzxRMydOxc7d+5M2K65uRnf+ta3cPrppw/QSP0hYUkQBDGI1Da0+K/RqMMqP9DUjnjcSCnUrcvy9kvA0aELv2vbcaDelRne7NwWHknA9i76hf7tOgm3J5L7dez5vkeNB0n01dzSmVo/xPBhkDyWy5cvx4IFC3Dttddi0qRJuPfee1FVVYUHHnggYbvrr78eV1xxBWbMmNHzTtMMCUuCIIhBJBaPO9455WMkh6OZCGlb3sFILO4Od4ufcuha571UvaBxDhZ3wszuXXwSfB2FtxIwRZ11NFihcAAYJc2zdNpw18LrkLvUdSXvf64TjUr4235nYuF4tZ0BzzSDuJEsfZ0YbqRzjmVLS4vr6O7u1vYZiUSwadMmzJ4921U+e/ZsrF+/3nesjzzyCP7xj3/gjjvuSNvz9wUSlgRBEIPIKdPGg8viSQoXi0s5e1sIospRBcgIBhyvn3RfN8fQL7knoNxnQvxJY+KcS2OUwstKqJkB2K9Zy1LUtcPVap/S+PXi0udcZKwrwlRNFlIXXHe9DA4UF+RqOiWI9FBVVYWCggL7WLZsmbZeQ0MD4vE4ysrKXOVlZWWoq6vTttm2bRu+//3v48knn0RGxtBY6GdojIIgCGKY8pUjK/Gzm87Bfz/5BhoOtMEw3O40Ll+KJBfGsG9/M2JRea9D5oSDYdaR7phFlg0u7ltiUb7P5UZS31z0L49Fw37XWpbN7noG9wg7l33oLpQyeZ6m4olMivBmKhw40JZCY2JY0ctQtscGgF27diE/3/Hkh0KhhM3UZD5u/aNMJR6P44orrsCPf/xjTJgwoY+DTR8kLAmCIAaZU6aNxynTxuP2+17Cn977zKvZuBPuFQKPM2Z5DO1K3jbWkjuyDcD0UnK5E43Q88xHlD+0Greo0IvyHMtRHc3uJVcSfKh9M7kNqYIlDGVtaTdUyhOdq+IyoPloE8OcNArL/Px8l7D0o6SkBMFg0OOdrK+v93gxAaC1tRXvv/8+Nm/ejJtuugkAYBgGOOfIyMjAK6+8gtNOO62PD9FzKBROEAQxRDj/1Mm+olIgJFB5UR6CwSR/hYuQtpw9ra0n/fQ7V+tzdx0h3hqlOZbFXa16G7p+eIJyBs+H3iWAU/BW+k0RAICR+RQKJwafrKwsTJ06FWvXrnWVr127FjNnzvTUz8/Px9atW7Flyxb7WLhwISZOnIgtW7bghBNOGKihuyCPJUEQxBBgf1MbCvOysezms/Hr37+LL3Y3mlnfYh6hVJdxYOfeRsRjRgJXn4UmrC3s+SZd67yMSnuxW6J9bYm7KMtAa2YYedEuFHW1ee3p+pGFoS42bkD/HqBMFdDcT4UDTRQKJ9wM1l7hixcvxlVXXYVp06ZhxowZ+NWvfoWdO3di4cKFAIDbbrsNe/bswWOPPYZAIICamhpX+9LSUoTDYU/5QELCkiAIYhDhnGPFU2/i6Zc2AQAyggHE4qbSCgBm8gzgFlwc2LevxRGHfu44eQqmQAl7M8M9D5OLjrWTH6W2UlhajFE0ORDKQ160C4VdbWYmu2zPfnC4xaqfdzTROHjq4jERGZn0KSQU0hgK7wmXXnopGhsb8ZOf/AS1tbWoqanB6tWrUV1dDQCora1NuqblYEN/mgiCIAaRVzd8ZotKALaoBNxiDYB/yLcnHzDdxMNU7aU4X7IpPALVbfsxItaFrHgUEWTqJ16lMm45FA54x92bj7/srmUMedmJkykIYiC54YYbcMMNN2jvPfroownbLl26FEuXLk3/oHoAzbEkCIIYRD7cttd3rqS8sw3iVhk0SweJn8q5rzdPeBul+ZGeeY5i+0exraOPx9Aeq1TcFBphnxd2tTv2DKldnLt3yQG85+KIS+WGVC5nwXNp8Fz5CbUfa8TWOJooFE4o0F7hvYc8lgRBEINIQX6OOZdSRQ41y2WKspRFofwh4/IilaoNOSlGlGnsAY5NOxzvF5qW7MnCsqir1dzmUYT041ZlSfhydaIkd98HYApKHfK+4bKgVkLrXPzXXoye2/fC4Sy9bWL4Mkih8EMB8lgSBEEMIjmZGfqMaI3W9Agm6Vz1jjDZhsab6TmXkT2Zat+6sSrnLo9lt+IN1IhG93Px3n+QE3lpRR9CoEp1w1nkYyGIdJF2YXn44Yebuysox4033ggAmD9/vufe9OnTXTa6u7tx8803o6SkBLm5uTj33HOxe/fudA+VIAhi0Nm7vwVBxhyBZm3bCOgznO11GOWQtSr45CPOnfOYue0iuBWGFshhZ8Os7Mm1EWFlQwpB+wjTprDksexuc9sWIljpHvJzIYlATBXpPbi2cYxz1zSDgwfb09EbcSiR6M9UT45hSNqF5caNG1FbW2sfYj2miy++2K5z5plnuuqsXr3aZWPRokV4/vnnsWrVKqxbtw5tbW2YN28e4vF4uodLEAQxqJQWjYBhCR3XAbg/THK4WtSR9wOHIj4Bc/9uu65bTJkfPiEo4f4Qaj6I8naMcj/mVommUBXXTVnyHMtW22YA7va2iGRw2dY+u25siT7cPp5YdZ9wAMgdEU5giBiOsDQdw5G0+/9HjRrlur7rrrswbtw4nHzyyXZZKBRCeXm5tn1zczNWrlyJxx9/HLNmzQIAPPHEE6iqqsKrr76KOXPmpHvIBEEQgwb3u9Cdc7jmOHp2lFF+6my7pkjKYtUzMA5720dp+0fXfcC6JxvmLo9lYXebK+yccIF23bXPs2vPpUulOCHcb/4mQRA9pl/nWEYiETzxxBO45pprXPtcvvHGGygtLcWECRNw3XXXob6+3r63adMmRKNRzJ492y6rrKxETU0N1q9f79tXd3c3WlpaXAdBEMRQZ39jmzUfkrsPrpwroW85G5qpos/CDptbWdV+oXVfASYElxXC9oTdhW372jx3eyzb9NmxwnMal55H8UyyuOmVFRnsTGSpi74Ny2sbd+wgzsF1Ged2v96yjo5uvzdADFcoFN5r+lVY/v73v8fBgwcxf/58u2zu3Ll48skn8dprr+HnP/85Nm7ciNNOOw3d3eYf7Lq6OmRlZaGwsNBlq6yszLN/psyyZctQUFBgH1VVVf3yTARBEOlkdHmB6TGTPYoiZA05PO6EmmUh6Qkby8jhZfVD5wqJu8tdGEodqY0r7CddH8zSJO8o/TDmfkaRAS8/s0D+UMn3PeWG845Ml6XsypSEpjK/tLCAtnQk3NByQ72nX1PhVq5ciblz56KystIuu/TSS+3zmpoaTJs2DdXV1XjppZdw4YUX+trinLu8niq33XYbFi9ebF+3tLSQuCQIYsjT3h7xeAx7NTfLECrN29oTFu8hPR1Pe6YzZzEv2qmvpAvNJ7jnE/n2tHeH+rkiLpVKFt1dEf0YCYLoMf0mLHfs2IFXX30Vzz33XMJ6FRUVqK6uxrZt2wAA5eXliEQiaGpqcnkt6+vrtZuwC0KhEEIh2j2BIIgvF81tnQgwwEgpN1HvWpSmN5puEtVbwpypkHYYmTl1uFCevoLOOkukMDm37RosYO8Xnhfp9F2DUjgLuO1J9FRwxmOJRL8hMMWG8IjKtuUlLGWvZWdnNMGDEcOSdISyh6nHst9C4Y888ghKS0tx9tlnJ6zX2NiIXbt2oaKiAgAwdepUZGZm2tnkgLk35ocffphQWBIEQXwZqa4o9BWVOs+cfK3Oj9SFkQE4oWtxAAjIoWap3NunFAP32JVCy9xd3pqZDUDvsXTC1WZ42pNNy5XnTbQ7j22UQae7bXuSQVcGOgeKiygUTmjo6XxK9Rim9IvH0jAMPPLII7j66quRkeF00dbWhqVLl+Kiiy5CRUUFvvjiC/zgBz9ASUkJLrjgAgBAQUEBFixYgFtvvRXFxcUoKirCkiVLMHnyZDtLnCAI4lCh4UA7Apqka0EicZkItS6XTlSbPhFiVykXteRscMU4E7cZLGHZhBHRTtObmGAqU0rY7la/+9wZgzIu+9xnCG2tlLxDEOmiX4Tlq6++ip07d+Kaa65xlQeDQWzduhWPPfYYDh48iIqKCpx66ql45plnkJeXZ9e75557kJGRgUsuuQSdnZ04/fTT8eijjyIYDPbHcAmCIAaNrm4rDCuHi33mSmqRRRtPoJ4MbyiZiV1whBoLKG1dtuESb+5sHsmmJZJbM3MAABncQHasG52ZylqRcnPhPuQws8DtW8o7sb2x3DFhuR/dz+UZlllf6sfelYgBkUjMW5kY1qQj+YaSd9LI7NmznXktEtnZ2VizZk3S9uFwGCtWrMCKFSv6Y3gEQRBDhurRReDSckCOblI8g6qAFOfqGpPy3tnSPaZqTlkkiki2a21K7m6vjFv1dLqmdHKgzQqFA2Y43CUsVU0qherVvtzvxF0WgPvR/bKURLG9QLy4tuyOKs7zNiKGNzTHstfQXuEEQRCDyN7agwhInkTXcjmAPQ/R91xaqkgNc3uQt26U+7DvS/UArW15HqZ6LttokYVlpNP7oVbs+YnKRGXakHcKY1U19sEm2tKRINJFvy43RBAEQSTG8MuYtsK1Lq+gpY5kLx7zEZU8AHNPb8W8bMPVn11B6tM6l8PT3oE6jRkAbphLw7VZoXDAEZb2HExXf9zOJjdvaMLx8kuQ7quZ4LZgFPWEbUFA6luyY/hNcCWGLRQK7z0kLAmCIAaRqsoiZ0tBTShXhJXsUK4QcZIHUP6A2WFeQ7mWbciVZayKssdUZ9t1LrsNpTmQrZLHMl9K4LGzwQVinNwSvWrIXydE5VC9JMxdXlM1U93qiwFAUE484igaSVnhhAKFwnsNCUuCIIhBZMfuRnMdS+VDZnveVM0pRBMAORUnUfa4GlK2c3w497YQC63DHJRrvqauH84dM8I7GADaMpx1hXPFkkO2bc2zQhLOfh5E9b4I1evi/34fdQ5zG0pJsR9oaPWpTBBETyFhSRAEMYiEMs2/hlPJAWeAtX+4VdDLhTIY5+be2jaS0LLFoRSiVrPFAccjqJvXaQDdgSz7MjsaMffz9h2QeygJkT2cuvbChkYzu+7HnXu04gihQqHw3kPCkiAIYhApLR4hhcKlDG95qxwOJ+zrSoBx1JNYmoeB6T1+sm3dnEm1TFxLHlKXjSShwo6g47HMjifZMlGO1etQY/DqWD3x+RRtW/cK8rM1N4lhDYXCew0JS4IgiEFk1+4DCIIhLmLhdmhXCfNa4pNJIooLj6LLfedOaHGFj1WRpQlL28iePju5hrvt+sE5ugKZ9mVYJyz9ds2RJ27q5oMasLeCdIX2XW2YNHXALcbl0D6H6ZVtpFA4QaQNEpYEQRCDSG5uCDzG7S0WZS2Z6Bywpj1KC317kMLGtg1Zf2kEl69eVD042h14HOPdQScUHo75eCxdYliaMernXZT7SZAdLk7krSE9709a7zMUckQwQQAgj2UfIGFJEAQxiOSPyO7dB4j7nKcL1QOqu+9aP4i5qnYGHbGWHYv4JuQ4jtAePoSygLtufMnmrQqvZm52VpKaxHCD5lj2HhKWBEEQg8je2oMIBBkMsfuOJJTk9RZd5Rzm0jyAFRpWEry51F62IfUrL0MEpRxwvHo2HNZWN1J7ObTOubPuJYAuOXknHvF6VoXTUYn+p7Rthx0291GPGu+vNmveat50gBZIJ4h0QcKSIAhiECkcmWOLSjEf0B2WdlSSXB6Qp2RyaMPIPJHLjnN7rqIaWgZMIcsUXelayFycGu5rITjlrPBwPIKANFbbnnUua0nPduc+80ETZoVb9ViCezLZOeSxJBQoFN5rSFgSBEEMIpkZQdfcRA9JPk4Jw73acLWsFjXnyqLjcj+e6DjT3LPoTDEr3DN+8UEPSOdqB7rzRJnfie4DCARod2PCjfkPq74pw762/7JCwpIgCGIQ2VffYm2FKEoc76Eu8QTKuWeOoZzU4rrNzYXBfY1aF4ZhXbolH1eXKrISh5gkLu1xMyASdD4vmUZMP24mnKXqmLlrnUnV9eosqM5tLyiXn4F7F3b3iGWpz7bWThAEkR5IWBIEQQwiZaX5zlaDqtqzd9ix8AtduzQT94hLOcTO/Tx/Uia1HYKX7VieTGcZH4090YZzxJnjBcywxKo8bntOpWZvcDmk7nkmKWnHI7bFPeF1DUhtlJA9Z9Z9DhQU5IAgXFAovNeQsCQIghhEYlF5SxpNYFudY+iDb6RXmbfpv/yOYssz15G77qvn3P0fGCwAAwwBcAS5bkV2ya46vzOVZ9L1L9/ncMQl19Tljp14NNG2QMRwhLLCew8JS4IgiEHkQFM7AgEGQw7VcrhD0pyDqzvq6ISeJKhE4ortFPQRb/a5ujYk4OwIZN33eE4For8Ac3kZ4yyAAI8jyOPSPFL3uLnuWUS/wjlpvxRl7Jrn8nhn4/p+AYAb5llHaxcIgkgPJCwJgiAGkcMqRyqi0pnLGIAVsmVWIoAcDgacZBx7biNzhBTgeCo5YK/Argun27vTuOu4JJsaXpbHwR0hygKOAI6xADJ5HEFuaMWrpw/VnnUurXLkTSIKmDZd74dJzy7bVWyIMRUWjwBBuKBQeK8hYUkQBDGItDZ3mkkosrfQkLyD4gOnJi4bAIJqmTInUyLpN07XjyzWxD7lqrg0oIzVEcZinmWGoQk1ywucK/NF1bC9fO4J4fu+B69tz3uxxtrZ3u0dHzGsoVB47yFhSRAEMYi0t3UjwAEjGgcC+ixpcA4eByAWrhQITyezvHaJOpKzzuE9t/uJSeVSFo1rTUtD8pJK1kyvpajEEWem4gtyA4hK+0sKdSji1dJC52o2utMp99y3vZdxy4ZrtXV3O3WwcnJQV6f/ckgEQfQMEpYEQRCDSNWYYvCYYS82znxEUULvhxrG1oTNE2aW295DNTTtHoN7LKqnURK3IilG8li6vJo62xzeMLsa+teUM/FM8vqbqriEcs3dRcUl+Z5nJIY5FArvNSQsCYIgBpH6fc3eLa9d4ilFQzpPnWwjSVa5757bqbTReRk5wETajZ8XUsXg+oQcy57Zl65c9kr6eTx92gNoa6F1LAk3FArvPSQsCYIgBpFIJAaXshRzGRMpSnsSotRODi8LRJhZNsX8PIHQizY/TWioFb1jDlj2DWgErmtMiik5g9wjmOF+5oS2lGf1eaXRaEx/gyCIHkPCkiAIYhAZM6bYnLMoQtaSlpKdbC59xWFuRiOEkxwChiIWFRvOf5hX5KkdKjbUhSU945KaMAABS30aYrF0pb2nQSKvpC57R2dP9bwqIlRnurg4TzMoYlhDofBeQ8KSIAhiENmz64BL9PnpJs8UQVHRcPY05mLRR40AtH8KDRuAJMIUuSWXe+Y6MtfcRp1DU5TZHktnMUpX+Nw1TDshSHgWmauua0yGVC6PnnPr2ZjbnlXLb6wHG9s0d4jhznANZfcVEpYEQRCDCGPM/IDJId5ES+TIZQa3l/vhAJi0TaEHyQPDAGffcDl8zt32nGweuZzbNrhYZNJ5GFeXAStF3EDAFL+ybWus7nLFtmvwmnPGPS+Iifcinkdul+pcT4Igeg0JS4IgiEGksrIQ3N5LG5YwTCCC5PUf1Z0SZXEKeDx9Wq8npBPFnr0kTyLPjWgTZO6xMYagnR3O9GO155NK/UnnclVdJFx2bqaELhMewMjC3BQNEMMGMT+5rzaGISQsCYIgBpFdXzQgyBjihmGKL84dcelSVJIoMgzLmej2bHLLs2jFqeGKrSubf5tF7j5Ue5IVO9wuQuByHVe/0i4+9hxLBLzrXYqxKU5H3TqWaluBbUMaU1I022IeaGhJrS1BEEkhYUkQBDGIhEIZ5jqW3NFlzLAD0e78GjHpS2gjZTceO6RuVXLCznDmG3oWX/e351oD0+V8UewIT6lUlhGPIcMKhXcHMz3P7Tt/zbMTjzLPUu3XGo7Y+jKpwNRMN8jIpE8h4YaWG+o99KeJIAhiECkZlefx2vmifqh8Qm0eWyLuLYfG5YSaRPZ852tyt+q1vaKm7XDc2c2mK5DZs7CgWldd6NNn0XYzcSdJPwbciUuMIW9EOPWxEcODZFNAUrUxDCFhSRAEMYjs3tEIFgB4nDuOQL/tEjl3hYo9Sd0agWpnjIv/iN1trHC6U1ESmnL43TUCBfm2yMJmpm23sMzSegp9EeF0MVZ5HIa0PZHhPDAXtuMwhaNw13L3OQPM7TFF0pLB0bS/NfmYCIJICRKWBEEQg8iI/Gwgarij3AF4k3jEEj9SmX1twL0dokDZEtKeCynbg6QP1d1+Up2/aK/Bye1pneGYW1iK9TlTys4WGtTg5nqdYgyWfVksu8KN9rqeensCdQpAKDsr8XiIYQczzKOvNoYjJCwJgiAGkRE5Wd6QmWGpnkBA8dZZ5yIDWyBC06ngV0+7ZmQSu569KB2yZY+lPMfSdp2miBxm76fQYnbYOweUGOZQKLzXkLAkCIIYRGr3NCEQDMCIm+4N24toADDiprgEzIXQxb244fUuGtaFJ8lF8XDCnRQkyu1voCG5WQyRACSFublkgTvjcIXwOUc41m2b6QpYHkF7OSK5Y9cF1GWRGGDuTOQzPcCDWCZGPH8KofeDB9qT1iEIIjVIWBIEQQwiJaPybFFpwzlY3BJcAcMTFveEiO12cM9BVCddylneclspLO6Emx2TAatcFqT2YuZcWspczG00gBzJY9kZyHT6dS2b5Ipjwz046V1IY1fHrcsgt5dSUkWlss6mIIeSdwgFygrvPSQsCYIgBhFuZ1hLgkcWXFKCinvOJDe3cATcQkkVbkElAUYsSq6G0+McCIp+nGI/D6HW4ylttVgQ67DvNwdzpP7h9ONHsrC+GqpPslOR6/3K5/b9YToZjvCHFkjvNeqqZX1m6dKl5hZl0lFeXm7f55xj6dKlqKysRHZ2Nk455RR89NFHLhvd3d24+eabUVJSgtzcXJx77rnYvXt3uodKEAQxaEQiMbz49Dt46+WtpiqLG6Ywi8atrRoN58MUiwPxuFlHOlg0DkRjYLG4WScWNxNbRB0OIGoAMcMUjjEDLM7NdTJjVn8GN+8B1jg4mOhb9C/O1XIJkWQtKIg64eXmzFzbNgBnfIbGlrCvikdDOtQ2huHJcncSmwz7p9sr69jraOlM/D+LIIiUSbuwBIBjjjkGtbW19rF161b73t13343ly5fjvvvuw8aNG1FeXo4zzjgDra3Ocg+LFi3C888/j1WrVmHdunVoa2vDvHnzEI/H+2O4BEEQA0o0GsO/LViJB+76I/7x6V5HBBpuUcVsYQTT02dIYWoRKbfOmcHNcsMK4xncLmNxbglK2EkJZtardd8KN5vXScSkLPxU8SfVKYg5wrIlI8cRfbJI9AtXi4xcUUcat/0u5P4Mc8YAc4XWHbHLuPNc8rUId44sHNGD/3vEcED8bvT1GI70Syg8IyPD5aUUcM5x77334vbbb8eFF14IAPjNb36DsrIyPPXUU7j++uvR3NyMlStX4vHHH8esWbMAAE888QSqqqrw6quvYs6cOf0xZIIgiAHjz69+jE/+sguANRdQWa9RXQbISWtx0J33+Dsmh6XjPD2uBkssyqHwgxm5rvuuyL6hPD+Xnk0S0J612KWFzu3pprASfeSll+SpBDJSslO0O9abJyUOZaTfvT7ZGIb0i8dy27ZtqKysxNixY3HZZZfh888/BwBs374ddXV1mD17tl03FArh5JNPxvr16wEAmzZtQjQaddWprKxETU2NXUdHd3c3WlpaXAdBEMRQ5GBjGwDTa8fi3Al1A+55lHA0ke29jMed0K+K8OLJdeSQuq5+LG6GxXUhaREm14af9Z5LEYJ2hcIDYbMfMWarDeMcLG6Y4X9rHLbXkVshecOw1sd0i24GWF5c97CYCLmL0L94BuvafB631uxo7wZBEOkh7cLyhBNOwGOPPYY1a9bgoYceQl1dHWbOnInGxkbU1dUBAMrKylxtysrK7Ht1dXXIyspCYWGhbx0dy5YtQ0FBgX1UVVWl+ckIgiDSQ/WRZeYOMcIbJ8LV8jxAIHnYWRV1clJKsvr2T2k+onyI8LNVxxV+5hp3jpJYVBhts69bA9lWeB5OqF2CiXcg7Ehi2JMRrvSjc0Yy5R6TD6u9bYVzFJZQKJxwQ6Hw3pP2UPjcuXPt88mTJ2PGjBkYN24cfvOb32D69OkA4NqSDDBDQWqZSrI6t912GxYvXmxft7S0kLgkCGJI0lDXnHrlRJmlaja4LLTUv2d19jxhZNjuBs+qP+I/DHDWOtJUtBgVMaNGjRkjEGdSGrga00+VVDLFEyzYrsWqT8k7hAfKCu81/RIKl8nNzcXkyZOxbds2e96l6nmsr6+3vZjl5eWIRCJoamryraMjFAohPz/fdRAEQQxFOtXQq/DSiWxwOYSd7APnl2DjY4cBdqicyfZFgkvMyiLX9iNC45bduOHUj3MzpB2NIzMSQXHM9FjuyypQvKEau3HpMLgT4pbrKiFuO3yv88LKtv3el/RuaI4lQaSPfheW3d3d+OSTT1BRUYGxY8eivLwca9eute9HIhG8+eabmDlzJgBg6tSpyMzMdNWpra3Fhx9+aNchCIL4MjN2opXcqBNG6oLfXDpPhJ+4ssrszGhLXPqt92jfU8Ylh5Eht5dFqVU+KurMca/PKkgc3k+0rzeXDh0iPO9nH3D/lMYoh8aLRuX5dEAMVygU3nvSHgpfsmQJzjnnHIwZMwb19fX4z//8T7S0tODqq68GYwyLFi3CnXfeifHjx2P8+PG48847kZOTgyuuuAIAUFBQgAULFuDWW29FcXExioqKsGTJEkyePNnOEicIgvgys/vz/abXUNoL3N7dUGQxi60P5f3BAW/4G5CurQ4ShZpTDc/pRK5iWs7UliPcZREn1L8/s8Cua/dsZ3TDe89vylMicRlQ3kOqWM/UfKAtSUVi2JHoHzQ9sTEMSbuw3L17Ny6//HI0NDRg1KhRmD59Ot555x1UV1cDAL73ve+hs7MTN9xwA5qamnDCCSfglVdeQV6e8y/Ge+65BxkZGbjkkkvQ2dmJ008/HY8++iiCwWTbNRAEQQx94jEzDM2j7hCsLdSCAYAxKZmFAwYDD4gtHQ1JiEEvqIIM9i4+9gRJWNsuauqrQhJQtof0hyltS6OOsKzPKnDV4zDn2ae82Y3Y7pIx71iESLaXOJa+5LZLMvm8SyM+TBUAQfQDaReWq1atSnifMYalS5di6dKlvnXC4TBWrFiBFStWpHl0BEEQg8/h40vNpYZ87rO4AQStmUpSKJxJYsxe29ISjWJ7R9v7F+dAgINx5uTcAHoPnwhJy+W60LpcnkCwlUcO2uf7hLC0xCezlhxiOntSPW2IW93nW6rnWcvTfmjub9vyChdSKJxQoL3Cew/tFU4QBDHAfPG3feaJKtpkuKWM1KV2dPtiK85GW2QZZgI3U8uF6LLXwrRkp8HsRccBOPMfA1JDNQyvEZdV3Y32+e6sYsmelHCjCDzhzVRFrUswCg+q0qcuPC+e3/U89jxL5qhyxtC0j9Y9JhTE7lB9tTEMIWFJEAQxwGRkBpys5EBAH26OWvHdYMDrcUsR4c30hri5y2PK7TA58ybTCETf1vaTtgc0AADM9RGt6toPAIiwIOoy8v0Xc1fObS+m/QCSiFaFbCB57ikD9Ak+1vOKNxAI9nseK0EMG0hYEgRBDDCV1SWO2DIMIBj0DwGLsLhfwg4gZf5A8fhJ1+JnogQfl22NPbEfuYwBS8FaIo0bOKz7AABgb1YhjEAw9YQhndfWL+Sue94UQ/VqaUFhTmrjI4YPlLzTa0hYEgRBDDDbP9nrToUWGeKwyvyW0BHnnrg3c08ulJuLvbPt5X3MayYpSydErnoFpUHGuSuC7GpnG2KoiDQh03J77gqVmMLYL8FIGnLC+ZA6T60uFJ+CqPQ8r2HgwL5m37rE8MRciqrvNoYjJCwJgiAGmNy8sNebYRgAfDKfPZFkpbEs3IRAle0oe33b2eZKX4z7iVJRH1qByLgTTq+2wuAAsCur2PH8qIt6yCLQzkRSn1kaTEAZbyIvqN/cVaW9uMoM0aeQINIF/WkiCIIYYIpL833EjyLs7DA2kLL/Q8zb9MuqBtxeTNGPX6KBXC6LPx2c48guZ2e1z0OlECPnYn1OV33lXHgtdfM8RdZ6T7dt9AuTS+SOCKdujxgeyFGCvtgYhtCMZYIgiAFmx9/qHE8ehxkuNrj509pu0dwyMQ6P2FQR4W35Q6huB6lmRXOrL3Eei3vrmg3c/cg/FcTOPrKw3BYud2Wuuw6xvqbsJZW3cdQl3IgtL3uDbE95Pwf3t/bOJnHIMpg779x///0YO3YswuEwpk6dirffftu37nPPPYczzjgDo0aNQn5+PmbMmIE1a9b08qnTAwlLgiCIAWbkqDxpzqMkInXniQQdl5SavP+1LVINR7SqQpNLdXT3AEn42WpP/0BCHBocEyxh2RIIoz6zwG4r5qy5Prr2ukeyLc2zWvYZh7WPeBKx7Rmf+s7chHNDPTBGEP3HM888g0WLFuH222/H5s2bceKJJ2Lu3LnYuXOntv5bb72FM844A6tXr8amTZtw6qmn4pxzzsHmzZsHeOQOFAonCIIYYHJys5J6AO3QtcEBZgBMCm8zBt+ta3Thap8QsC9qQoy8ZaQuA926LIm1YmS8A4DprXTVUc91fan3fd+NqO9zrqsvj1shK4t2dSMUxL/Z+mqjhyxfvhwLFizAtddeCwC49957sWbNGjzwwANYtmyZp/69997rur7zzjvxwgsv4A9/+AOOO+643oy6z5CwJAiCGGD2fL7fX7zpiBvm/MJAwPIMGk7SiwdL6HmSgOCuzyVF5rf0kJyZLezFpb7FucX4bncY3A7T2wk6bjFtz72EGK+ZwMQY7J2EBEz6yYWNuDQuA06ikauihZXV7hh0LloOtGteADGcEVM7+moDAFpa3Avwh0IhhEJeL3kkEsGmTZvw/e9/31U+e/ZsrF+/PqU+DcNAa2srioqKejnqvkOhcIIgiAGmfEyxOxTuhxq2lsPd8bhPyFgjUlXvqPAyirCznDWeKOlHrmPItszjmI7ddrNtoXJNKF3tG86W3pxbIXIR9uaue05zOWQPZ4cUeUyAPvzN4X5u6zwnPxsE0V9UVVWhoKDAPnSeRwBoaGhAPB5HWVmZq7ysrAx1dXXaNio///nP0d7ejksuuaTP4+4t5LEkCIIYYOLReHIvpbyGo7hWPIQwOBDUiEjVNudm6DxohXx1jhidLbl9CmH0ms5d9vmH4cPc7dXtKRORpD95/UzXWpoptOOuKxMj3teYJ3HIYcB/F6qe2ACwa9cu5Ofn28U6b6UMU36HOeeeMh1PP/00li5dihdeeAGlpaU9H2+aIGFJEAQxwOzf2+R4K2XhKMRk0Ge3GtFGbAMpvJeiPefWtoxxS2BJUopz08sp+vEkzXAgFjOrB6SxCOx20Iq3bCOCI7vNPdC/yCxGSzDH3T4uxmn/JzlqNjvcmbb6mQBx7xjVcL4y/s7WrtTGQwwb0hkKz8/PdwlLP0pKShAMBj3eyfr6eo8XU+WZZ57BggUL8Lvf/Q6zZs3q/aDTAIXCCYIgBpgxE8rdohJwC8143CmT5zmKMr8wOODMaTQLpZC7dHB4+xZ15QxzOewsss19Fimf1LkbQUvEfpg9WisKnfCzzwdbl7ijhM79cMLmsEPqrjB7gn4KS0b4GyaIASIrKwtTp07F2rVrXeVr167FzJkzfds9/fTTmD9/Pp566imcffbZ/T3MpJDHkiAIYoBpbmhLXEEWY4YU/pbnY8bjTmhbRXg1ZXsu21aWudpnMoRADXh9hZM7nfmVW7OrvO389gH360fORO9nutu7+78T4stFkn/IpGyjhyxevBhXXXUVpk2bhhkzZuBXv/oVdu7ciYULFwIAbrvtNuzZswePPfYYAFNUfutb38IvfvELTJ8+3fZ2Zmdno6CgoI8P0DtIWBIEQQwwrU1tiZfHAZywtThX0YkyIQ7j3Otd9NQzevbhE97MuAHE4d7dhzFM6XTW2dsatjyWsbgTr47F3bv9+CFC7vJ80lSXSZLHymHFzeWQuDlXzZ6PadFFwpJQUZPOemujh1x66aVobGzET37yE9TW1qKmpgarV69GdXU1AKC2tta1puWDDz6IWCyGG2+8ETfeeKNdfvXVV+PRRx/t2/h7CQlLgiCIAebwow9zQsKJRJM8/1J3T72vhsxlXHMmLVUrZ3v3VLxJntSCWDsmdtcCALZnlaApmCuNU+4yhX785paqmenqvEkZ1/qaqvfTCotL9grLBsezQxA6brjhBtxwww3ae6pYfOONN/p/QD2EhCVBEMQAU/fFfnBLmJl6y0pM0SWcAP4CSg55J/KO+AmzRKgCLgHHd+6wJ+y/nz3Waq9U6qlwlceRLIyeaKwp9NtG61gSCn3ZklG2MRwhYUkQBDHAdHdFAWvvazssyyUtxuAIokBAv9SInFjDmHtOpSAuZUjLczU5t5ZCkedeStnlYkFzeV1IkSlu17f+wxi+2rndLn4vXG3NBXUtBATwgHuOqJ0F7x22XShnp/slK6nJQbJ9HfYzOeI0Fo3p6xLDl0EKhR8KkLAkCIIYYMZOOswRVJx7xZUcwjUMIBCELITsdrrQd7JtE+U6qhdTPlfHZHDvOiIsgAA3MK3zCwBAG8vCJ6EKaSxye2VRQHseZAKPotynX9g+UYa5/Jw+9RhjmHLiRP8xEATRI0hYEgRBDDA7/1brL+A0cMMACwScyiJj1XYKcn0muC6MLJKC1LUyVaHp5yW1vYxmn0d11yLPMJNfPsiuRtxWgkrijP7J9HXk/kUWuk78JhqrfE/11lrnLMBw3MlH4ft3XZxknMRwgxnm0VcbwxESlgRBEIOBLCiTJrWIsLe4MgWZmJ/JAGdbQ9U751cWizkLrbu6SpQwBCVEyPH1jm327Y3ZY6WkJB8biRCZ5/a5FQo3FHt+HllVPKphcqX9qg0/RP7IXBCEBwqF9xpaIJ0gCGKAGTOhwjzxmx8osO8zO8HHFJJmVje321r1DZ+Pod9HUheelsWXOo9RscM4x0ntfwMARBHAO+Gxki1N/37zIu1rzZwA9Rl1Uwd0z5nkPWTnhZFXkONjiCCI3kLCkiAIYoDZ/tEuc9vFRIJLwGHvgsPFT27+FJ5KzmWRmcBL4ie25F12xLkQnQnGNilSixLDzKj+IDwGbSzk9YzqxKt2PEm8O5yba1uqOxb1Bs7R2dqF1oMdfbNDHLrwNB3DEAqFEwRBDDChcJaVnewNzwKw5kpqwroCK0rMDffXy6yaJBs6ACU7XBGQkO7L+5C7OwEAnNTphMHfyh7v7o9zc6F2MeCAkgEuQttcyRT3oPO2piBCORKH4zlHZhZ9Agk96dwrfLhBHkuCIIgBprx6lHPhF6J2efp0nkZdueO95H6eRkPjRfQjQcZ1gBv4Ruc/AAARBPFO9hGJ2+q0oW6uZKofY9lzmSgE7mMvnBtCOCcrtb4IgkgZ+ucaQRDEALP9o12SxxFmWFu3DqU8v7AneTBiPqb1H21TdU1J+afav3qPcxzTvQfFVhj8/fAYdCBTbzvhOO3/uPtJlEAkxiU8p/LWknb/8ntjTh+Sva72bjQfaMfI4hGpjZUYXlDyTq8hYUkQBDHA5BXmmqJS+vA4SwqJAkUMabKaPZJRFlyAo9kkQcWh7AiSdEUgyaYk+s7o+MSu8lboSHfY3E+Q6uyqdRjMsLmoo9pR52iK5ZPs55aEpF2fecbBAgzZuaGEj04MYzisTQT6aGMYQqFwgiCIAWbkqHxtyJZb4owbhn3uEnayGDMMJwvcNxRseS6V0DhXxZncj+5c/LTGlGNEcGK3GQZvZSFsENngagg/mW1A7yVVn13XTm2jPLP2Pudglmg965qTEQpneusSBNEnyGNJEAQxwOz8dC8YY26BBzji0hKSthdT9sxZ9QA4C3+7vJqw21uFEG5JLhJlRG6L4oX0ejwVAWrVPbHr7whzcxvEN7LHI8KUT4lsQ4xRFYayWPaIS6ldKgg7hub5lXFMnH4kZs6dgosu/WpqtolhCSXv9B4SlgRBEANMyWEjvaJSoHjpbAHoJ8rUMLVfZrXLvmU7EHDC4sm2SZTsn9H5qV28Nvso7/jVNn5wrt/jXM7qDjCv2FWFL1fOxYnGG3rbsotRelih/5gIAoA2uaw3NoYhFAonCIIYYDIyM/ShZl2I2jDMULaujlzXrp8g/CwEm8AwwA2NbV1mtVVWFWvCMdE6AMD2jCJsC5akMKYEk9UShfI5N9eu9HseILkAUN5ZRiZ99giiPyGPJUEQxABTu73eG4IW6ESSFca17zDm5NyoNhgzxZhYw1GEh82bHtPM3vvbbY9r3C2MMczr+NC+fiV8lLdvmQQCVTKavG3ckBJ6xGP0ZrtIoG7XARSVFvSsLTH8SDSntyc2hiEkLAmCIAaYqgmVSRJRmDNXENDu9c0DAf/F0OVQsi0urWxppY0IyQtbiXbwyUYMs7o+AwB0IQNrwxOVcStjlc/9vJaphM45NzN07fua95MIe7oAUDGmJHFdggCs37c02BiGpD0msGzZMnz1q19FXl4eSktLcf755+Ozzz5z1Zk/fz4YY65j+vTprjrd3d24+eabUVJSgtzcXJx77rnYvXt3uodLEAQx4Ew7YzLOXnCqfwWdp09FFWpyEo/a1k94MUA7EcxH9J7e9RlyeBQA8KfweLQHlOV6EoXTk5HKfMxE5wmFuvUzzhHpivRsXARB9Ii0C8s333wTN954I9555x2sXbsWsVgMs2fPRnt7u6vemWeeidraWvtYvXq16/6iRYvw/PPPY9WqVVi3bh3a2towb948xOPxdA+ZIAhiQGGM4eZfzMe9r/87ps2abBYa3Fo+CO5ru9wrnLiYf2kY4PG4k1EuDvkasMRV3DxEFnXcAOJx8FgMPBZz35P6ZJzj3M6P7Os/hI62+3cPSplbmWpIMZU6sr143BHX8v7mdh0471N6ngP1Lcn7IYY9Iiu8r8dwJO2h8Jdfftl1/cgjj6C0tBSbNm3CSSedZJeHQiGUl5drbTQ3N2PlypV4/PHHMWvWLADAE088gaqqKrz66quYM2dOuodNEAQxoDDGMOlrR+JrZ07B+6/81bnhF941uLPPdwLvHIeyX7gQYn5zGNVyObvczOoBGMNx0T2oMpoBAH/JqMAXGUWO7WDQ3Yccrk7Wn3zfZ0/yhG2TPZv0/CzAcNgRpfr+CUKG5lj2mn5Pj2tuNv8iKioqcpW/8cYbKC0txYQJE3Ddddehvr7evrdp0yZEo1HMnj3bLqusrERNTQ3Wr1/f30MmCIIYMFoadB40n4+a0YcPlTqXUf6ZqNxqdlGXI35fDB+jmE4hnO53LQvfVEPhqaKIA25wtBxo67kdgiBSpl+TdzjnWLx4Mb7xjW+gpqbGLp87dy4uvvhiVFdXY/v27fjRj36E0047DZs2bUIoFEJdXR2ysrJQWOhea6ysrAx1dXXavrq7u9Hd3W1ft7RQuIMgiKFPe0snAgHAiKsz/VVxaYk9OeO7L6TS3ur/yO79mBrdAwDYG8jDhqxqdz3DKwzt5G3Vnk5EitC2GJdugXZxrfNO6tbg1AlpAG0tnT4PSxAS5LHsNf0qLG+66Sb89a9/xbp161zll156qX1eU1ODadOmobq6Gi+99BIuvPBCX3ucc98syGXLluHHP/5xegZOEAQxQFRNrNSISh2SVOP2f0xc4WvdQkHSIusJ9x6X7El2/6l7q33r2fBkGPB6F+UQPOfcWRLIL3koUQa4rp5uEXh5PmkiOAcLBJBbkI3qCRWJ6xIEQMKyD/RbKPzmm2/Giy++iNdffx2jR49OWLeiogLV1dXYtm0bAKC8vByRSARNTU2uevX19SgrK9PauO2229Dc3Gwfu3btSs+DEARB9CP7vtgPwAknJ/4Wce2pUyYVSlnj2jmXuraqF5FzlMdbcGJ0OwDgIAtjbWiCu29V5OrGIttPVQyqdnTjEyRagB0AGEPBqDz85+MLkZ0bSlyXIIg+kXZhyTnHTTfdhOeeew6vvfYaxo4dm7RNY2Mjdu3ahYoK81+SU6dORWZmJtauXWvXqa2txYcffoiZM2dqbYRCIeTn57sOgiCIoU4sGrcXKTfFpRCYXuHlKvETWSI7WpxzK2tcHLKwc2VRS2XS6hsXdX+IoNXzC6GjERGBLmeoEHt7cyMOcz9yq9943NzZJ244z8fFGLl/xruf6BRjFRnhflniCrfcfRmeev8nmHhstfY+QXgw0nQMQ9IuLG+88UY88cQTeOqpp5CXl4e6ujrU1dWhs9Oc19LW1oYlS5Zgw4YN+OKLL/DGG2/gnHPOQUlJCS644AIAQEFBARYsWIBbb70Vf/rTn7B582Z885vfxOTJk+0scYIgiEOBr583DdzehtHtXZTFpS3KnBK3F0/nBfTxTHLrSFavKN6O2ZG/AQA6kYE/ZB2t9zxyZ/xee45QZmB6B6cQm7rnkY9UEnxc78H8WfPVI/wXkycIDbTcUO9Ju7B84IEH0NzcjFNOOQUVFRX28cwzzwAAgsEgtm7divPOOw8TJkzA1VdfjQkTJmDDhg3Iy8uz7dxzzz04//zzcckll+DrX/86cnJy8Ic//AHBYDDdQyYIghg0jpk5Ebc/dTMKK4vAAsz08Eki0iUCbeEkrd8oygWphJo5t9ZG14e/Rdkl3X9FCKb38qWsiWhDZvIHkkSyZNgybzhj94xJ+pnIY5kM17sy23zx2d7k7QiCSAtpT97RLjshkZ2djTVr1iS1Ew6HsWLFCqxYsSJdQyMIghiSnHTRdJx00XT85+W/wFvPvmOJM2sdSY+nzf13LI8bPgnezNpfm2szqXk8DkjbQorkSPF3eEmsFWdFPgVgbt/4u0xrZQ9r3/KEa0pqPwOW0EvkOEzVweOXECTflwiwfl9ZjzjUoOSdXkN7hRMEQQwRiipGusO4LOAWUdwA524xaKKKLCXz2y+MbBjOnuPcWVydc45LIluRZU0S+0PmUWgOZHvt6Jb5kc9lYWyXMYi8dVnIquNnata7rj8/cavUrRqvT/okCF8MDrA+CsO+rDv7JYb+GUcQBDFEEBniNlwKdUshZG5wZ14mlHC5QAgrOzTt/5GTt4LkhoGSeBvmRp25lf8vq0bTyMejoxGvLqGpzht1bjjnXGxVyZ2pAbo+E3mVpLD+5x/v8X12giDSC3ksCYIghgjZI8JgwYCZRW3jJL+AMdOJ4hNy5vBZ69fgjlNT9frJ8xYtkXZp1PFWvph1FJoDYa9NIdwCAe/amELsGXCXy8+k9Tj6JBQZ3OVZ9TxHEnJoiSGip1AovNeQx5IgCGKIcOG/nIVAwNzTWiC8kYwx/dI8Mhxe7544DKXcqq9SabTgrJi5pnAHMvD/Mo+x/YlcbQ84y/44A059e0ZDGWMihOdTCOpkGeQAWIBh9FGVOPakoxLbJggPmt+pnh4pTxo+tCBhSRAEMUSYMPUI/OLtn+CEi6YjMzvLDHdb3yc79K0mzng+aDCzr50KzmEYzrdOziiXBN786BZkWJWezzwaLSzseDZ1IXdI9mwRq8neFvfE0FVR6ddONmEY5tqY1nxQ95qc0jljGDm6CKdffRLueWExskIpZLMTBJEWSFgSBEEMISZMHYefPPUvGFczRnvfu/6kcrjEpUYEcsMtMKWfE+INODm+AwDQhDB+l3mM1jPoEZfyffmn1Mb2bIpF0e37yqFLePCIWUnoCvEt24obOOnKb+DWZZdiREGO1x5BJKOv3sp0hNK/pNAcS4IgiCFIKCdLf8PyyHFuJFy5R4TF5bC6gz6b+trYZvvyycyvoBMZTvhZqWvaDtgik3myvxVBqozff9yW8AwEnHYJ51Ny7fMUF+UmaEMQSTDSEMoeplnhJCwJgiCGIPt3NepvcGsNSgDcXoXHWn4IMJfpEd8zazkfbUKPUvZVYy+mGPsAAHtYHlYHj3SSfnwEHo/H7TJuGPp+dN7NZIk3ltcRWlGs68ItblmAYf+OhpTaEgSRXigUThAEMQSpPLIcLOjzV7ScfMMlYQWhKaWwuKuZGkY3CRhxLIh9YF8/knEs4uLz4ApVJwhTSyFyMQfSEw7saWhQXSpJZ0+aDmD3b3CES/J71hdByIhdovp6DENIWBIEQQxBvrP8auTkZ0slCeZsScXM54Z733HDJfzOMv6OsbwZAPApK8bbAf38Tl9kcSkScFzrV/qIy1REpyubXdfO26T8+LE46YJpKQ+fIDzQHMteQ6FwgiCIIUjVxEo8/OHP8cdVG/DE9x4Djwnvh892in4YBrg0/5ED5laOliLL4924OvYXu/qDmVN7Zl+H5LlUw+iMMcAK5buQ51SKcLm6yLtpwdWH056hdGIlzrjmNMyYOwXjyvL69gwEQfQK8lgSBEEMUYrKC/GtRWdh3OQxCIiweA/Cy2INTC57D6V7AHBVbCvyEQEAvBY4HB+zUakPUJMx7jrXhK1TWq5I95yyHZ/zE8+dhqv++UQcWZ6vn+9JEKkiVi/o6zEMIWFJEAQxxPm3x25GfrHwwOk/Vlz5iMnXHpFl3as2DmKeYS6G3oUgVmYcqxhNIux0w0kW/vO775f4k6K9Y06chPn/MidxXYJIFQqF9xoKhRMEQQxxDj+mCo9+9gtsXPMX/PSye+CZb8k5wAIecSlEn7kdpCIwDY7vxDchaFV6OnAMGliOyzbnHEyetWmbV8LxfltG+sANw1IP1r0AABE9SURBVNyeUl3oPRnqkkYAyo4sx/cfuAYTjz8cgQD5SghisKE/hQRBEF8CcgtycfLFM1B2+Ch9trg2jKwPfwPA141dOI6bywvVIhf/j020Q+cCZi1XpOlM77nUVvUPXfuGxRPZkGEMx86ajEnTjiBRSaQXjjR4LAf7IQYH+pNIEATxJYExhv948fsorijU3OVqZUDrbQTCPILvGJvt618FjkOUBbQfwh7PVUwkFjW2EopLzdaVmdL2jFNOr8ENd1zQs/ERRCpQKLzXUCicIAjiS8TYmjF47O8r8Offv4efXnavcld8zHzEIDeF3Df5RyhFBwBgEyvDn1mlp45+x54U4PZ/pDKu3b1HbpJMwDLG8ND7P0VZdQnqdzYiK5SJUaOLejdGgiD6DRKWBEEQXzIyszIxfd40FFUU4mB9M4y4ZiFmnZgDcITRhIvwNwBABAGsCEwFZ8wjReXdbHTnYICnlehT1rZ2mWgnnUv3POJSOmcBhqNmTsToI8sBAIeNK0v0egii7xgGgD4ucG7QAukEQRDEl4RwTgh3rfkhKi2xlRnORHZBjnVXmdcohKFh4F/wgZ2w8xSbhD0Y4bSQw3eJlkrhAMC88zqZEnr3Ebe+ZqV5l3nFIxDICAAMmDh9PO74zcKU7RBEn6FQeK8hjyVBEMSXlLE1Y/DIJ79Ad2c3ssJZYIzhqTufxaP//oyZIe5KlgHmYjuOhrkH+U7k4bc4yhGAgONqkMSllMpj701u3jOce4FASvuRu2yr11L5T1/8HqaeXoN43EA8FkeWNK+SIIihDXksCYIgvuSEskO2sDvpn2YgmJkBKHMkR/JOXIu/2tf/w6YiyoKuOmpWuJsEnphEYlEjHBN5c1iQ4YjJVQCAYDBAopIYHMhj2WtIWBIEQRxCjJ5Qibtf+RFGTxqNnMJcVNWMQcnho3BD1sfIQxQA8Hr4SDQf9zXkl+a72jJ1bUkP0jxJV7G5u484zDLDvc83YM45s3fYgTbczuMcOz7Z08OnJog0Qzvv9BoKhRMEQRxiTD5xEh7Zutwp+OQT4OgHzPPCQpz66Z9xamkpOOc4O/ebiHbH+t6pnOXNubOGuuHK5HG38ck8zyQvJUF8aSGPJUEQxKHOpEnAm2+aP3/2M6C0FIDpobzglrPsamYoPAV7qVTi6oXaxhsqZAGGMTVVmDh1bAqDIIj+g3MjLcdwhDyWBEEQw4GTTgK2bAEy3H/tL7jzcuQX5+H1Z98FsoIoLMlH455GZI3IRm5eNpr2HEC4aAQMDtR+uAOtDS0AV5YP6g0MyC3JR9WxhyMeM9DZ1IaxX6nGLXddjoxM+jQRgwxPQyh7mM6xpD+9BEEQw4WsLE9RIBDApf96Li7913OTNn/mv17Awz9cZSX49FJQChjDN751Mhb/9NK+2SEIYkhBoXCCIAgiJebMPxX5pQXmXuVCV8o7RzLYHkwWYO5yQYCBBQLILhyB0686aUDGTRA9hrLCew15LAmCIIiUGDkqH798bxkevvP32F/bhMqxpWg/2IGW5g4cNq4cB+ua0NUdQ8XYUWjc3YgYB8qqirH/i/1AViaKSvPQuLMRWSNzMe+mM/GVieWD/UgEoccwANbHOZI0x5IgCIIgElNcUYh/XfHPgz0MgiCGKCQsCYIgCIIgZLhuJYPe2Bh+kLAkCIIgCIKQ4IYB3sdQ+HBdboiSdwiCIAiCIIi0QB5LgiAIgiAIGQqF9xoSlgRBEARBEDIGBxgJy95AoXCCIAiCIAgiLQx5YXn//fdj7NixCIfDmDp1Kt5+++3BHhJBEARBEIcynJvrUPbpII/lkOOZZ57BokWLcPvtt2Pz5s048cQTMXfuXOzcuXOwh0YQBEEQxCEKN3hajuHIkBaWy5cvx4IFC3Dttddi0qRJuPfee1FVVYUHHnhgsIdGEARBEARBKAxZYRmJRLBp0ybMnj3bVT579mysX7/eU7+7uxstLS2ugyAIgiAIosf0OQxu9HpLx55OAXzzzTcxdepUhMNhHHHEEfjlL3/Zq37TxZAVlg0NDYjH4ygrK3OVl5WVoa6uzlN/2bJlKCgosI+qqqqBGipBEARBEIcQgxUK7+kUwO3bt+Oss87CiSeeiM2bN+MHP/gBbrnlFjz77LN9fQW9ZsgKSwFjzHXNOfeUAcBtt92G5uZm+9i1a9dADZEgCIIgCKLP9HQK4C9/+UuMGTMG9957LyZNmoRrr70W11xzDf77v/97gEfuMGTXsSwpKUEwGPR4J+vr6z1eTAAIhUIIhUL2NbeysSgkThAEQRBfHsR3mw9iVnWMd/c6lG3bQBSAV4eoekUgpgB+//vfd5X7TQEEgA0bNnimDM6ZMwcrV65ENBpFZmZmXx6hVwxZYZmVlYWpU6di7dq1uOCCC+zytWvX4rzzzkvavrW1FQAoJE4QBEEQX0JaW1tRUFAwoH1mZWWhvLwc6+pWp8XeiBEjPDrkjjvuwNKlSz11ezoFEADq6uq09WOxGBoaGlBRUdG3B+gFQ1ZYAsDixYtx1VVXYdq0aZgxYwZ+9atfYefOnVi4cGHStpWVldi1axfy8vK0ofOhTEtLC6qqqrBr1y7k5+cP9nAOaehdDxz0rgcOetcDB73r9MM5R2trKyorKwe873A4jO3btyMSiaTFnm76ns5bKZPqFMBE9XXlA8WQFpaXXnopGhsb8ZOf/AS1tbWoqanB6tWrUV1dnbRtIBDA6NGjB2CU/Ud+fj79RTVA0LseOOhdDxz0rgcOetfpZaA9lTLhcBjhcHjA++3pFEAAKC8v19bPyMhAcXFxv401EUM+eeeGG27AF198ge7ubmzatAknnXTSYA+JIAiCIAgirchTAGXWrl2LmTNnatvMmDHDU/+VV17BtGnTBmV+JfAlEJYEQRAEQRDDgcWLF+PXv/41Hn74YXzyySf47ne/65oCeNttt+Fb3/qWXX/hwoXYsWMHFi9ejE8++QQPP/wwVq5ciSVLlgzWIwztUPhwJRQK4Y477kg6D4PoO/SuBw561wMHveuBg941kU6STQGsra11rWk5duxYrF69Gt/97nfxv//7v6isrMT//M//4KKLLhqsRwDjg5nPTxAEQRAEQRwyUCicIAiCIAiCSAskLAmCIAiCIIi0QMKSIAiCIAiCSAskLAmCIAiCIIi0QMKyn2htbcWiRYtQXV2N7OxszJw5Exs3brTvc86xdOlSVFZWIjs7G6eccgo++ugjl43u7m7cfPPNKCkpQW5uLs4991zs3r3bVaepqQlXXXUVCgoKUFBQgKuuugoHDx4ciEccMiR71/PnzwdjzHVMnz7dZYPetZ633noL55xzDiorK8EYw+9//3vX/YH8Pd65cyfOOecc5ObmoqSkBLfcckvadscYCqTjXZ9yyime3/XLLrvMVYfedfJ3/dxzz2HOnDkoKSkBYwxbtmzx2KDfa4LQQ8Kyn7j22muxdu1aPP7449i6dStmz56NWbNmYc+ePQCAu+++G8uXL8d9992HjRs3ory8HGeccYa9xzkALFq0CM8//zxWrVqFdevWoa2tDfPmzUM8HrfrXHHFFdiyZQtefvllvPzyy9iyZQuuuuqqAX/ewSTZuwaAM888E7W1tfaxerV7H1h613ra29sxZcoU3Hfffdr7A/V7HI/HcfbZZ6O9vR3r1q3DqlWr8Oyzz+LWW2/tv4cfYNLxrgHguuuuc/2uP/jgg6779K6Tv+v29nZ8/etfx1133eVrg36vCcIHTqSdjo4OHgwG+R//+EdX+ZQpU/jtt9/ODcPg5eXl/K677rLvdXV18YKCAv7LX/6Sc875wYMHeWZmJl+1apVdZ8+ePTwQCPCXX36Zc875xx9/zAHwd955x66zYcMGDoB/+umn/fmIQ4Zk75pzzq+++mp+3nnn+dqgd50aAPjzzz9vXw/k7/Hq1at5IBDge/bsses8/fTTPBQK8ebm5n553sGkN++ac85PPvlk/i//8i++dulde1Hftcz27ds5AL5582ZXOf1eE4Q/5LHsB2KxGOLxuGev0ezsbKxbtw7bt29HXV0dZs+ebd8LhUI4+eSTsX79egDApk2bEI1GXXUqKytRU1Nj19mwYQMKCgpwwgkn2HWmT5+OgoICu86hTrJ3LXjjjTdQWlqKCRMm4LrrrkN9fb19j9517xjI3+MNGzagpqYGlZWVdp05c+bYW70e6qTyrgVPPvkkSkpKcMwxx2DJkiUujya96/RAv9cE4Q8Jy34gLy8PM2bMwH/8x39g7969iMfjeOKJJ/Duu++itrbW3jBe3VS+rKzMvldXV4esrCwUFhYmrFNaWurpv7S01LMp/aFKsncNAHPnzsWTTz6J1157DT//+c+xceNGnHbaaeju7gZA77q3DOTvcV1dnaefwsJCZGVlDYv3n8q7BoArr7wSTz/9NN544w386Ec/wrPPPosLL7zQZYfedd+h32uC8Ie2dOwnHn/8cVxzzTU47LDDEAwGcfzxx+OKK67ABx98YNdhjLnacM49ZSpqHV39VOwcSiR715deeqldt6amBtOmTUN1dTVeeukl10dXhd51agzU7zG9/+Tv+rrrrrPPa2pqMH78eEybNg0ffPABjj/+eK0NnR16172Dfq8JgjyW/ca4cePw5ptvoq2tDbt27cJ7772HaDSKsWPHory8HAA8/yKtr6+3//VaXl6OSCSCpqamhHX27dvn6Xv//v2efwUfyiR61zoqKipQXV2Nbdu2AaB33VsG8ve4vLzc009TUxOi0eiweP+pvGsdxx9/PDIzM12/6/Su+w79XhOEPyQs+5nc3FxUVFSgqakJa9aswXnnnWeLy7Vr19r1IpEI3nzzTcycORMAMHXqVGRmZrrq1NbW4sMPP7TrzJgxA83NzXjvvffsOu+++y6am5vtOsMJ3bvW0djYiF27dqGiogIAveveMpC/xzNmzMCHH35oT28AgFdeeQWhUAhTp07t1+ccCqTyrnV89NFHiEaj9u86vev0QL/XBJGAQUgYGha8/PLL/P/+7//4559/zl955RU+ZcoU/rWvfY1HIhHOOed33XUXLygo4M899xzfunUrv/zyy3lFRQVvaWmxbSxcuJCPHj2av/rqq/yDDz7gp512Gp8yZQqPxWJ2nTPPPJN/5Stf4Rs2bOAbNmzgkydP5vPmzRvw5x1MEr3r1tZWfuutt/L169fz7du389dff53PmDGDH3bYYfSuU6C1tZVv3ryZb968mQPgy5cv55s3b+Y7duzgnA/c73EsFuM1NTX89NNP5x988AF/9dVX+ejRo/lNN900cC+jn+nru/773//Of/zjH/ONGzfy7du385deeokfddRR/LjjjqN3rZDsXTc2NvLNmzfzl156iQPgq1at4ps3b+a1tbW2Dfq9Jgg9JCz7iWeeeYYfccQRPCsri5eXl/Mbb7yRHzx40L5vGAa/4447eHl5OQ+FQvykk07iW7duddno7OzkN910Ey8qKuLZ2dl83rx5fOfOna46jY2N/Morr+R5eXk8Ly+PX3nllbypqWkgHnHIkOhdd3R08NmzZ/NRo0bxzMxMPmbMGH711Vd73iO9az2vv/46B+A5rr76as75wP4e79ixg5999tk8OzubFxUV8Ztuuol3dXX15+MPKH191zt37uQnnXQSLyoq4llZWXzcuHH8lltu4Y2Nja5+6F0nf9ePPPKI9v4dd9xh26Dfa4LQwzjnfOD8owRBEARBEMShCs2xJAiCIAiCINICCUuCIAiCIAgiLZCwJAiCIAiCINICCUuCIAiCIAgiLZCwJAiCIAiCINICCUuCIAiCIAgiLZCwJAiCIAiCINICCUuCIAiCIAgiLZCwJAiCIAiCINICCUuCIAiCIAgiLZCwJAiCIAiCINICCUuCIAiCIAgiLfx/RWsKL5bGcsAAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 5))\n", "plt.scatter(x, y, alpha=0.3, s=5)\n", "scatter = plt.scatter(x, y, \n", " c=closest_t_all, cmap='viridis', s=10)\n", "plt.colorbar(scatter, label='Angle')\n", "\n", "\n", "plt.plot(x_smooth, y_smooth, 'r-', linewidth=2)\n", "#plt.xlabel('spatial_x')\n", "#plt.ylabel('spatial_y')\n", "#plt.title('Parametric Curve Fitting for Ring-Shaped Data')\n", "#plt.legend()\n", "#plt.grid(True, alpha=0.3)\n", "plt.axis('equal') # Keep the aspect ratio equal\n", "plt.savefig('Theta.png', dpi=600)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "9fa49a0a-002d-46a1-a534-814bb098d1c0", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.9" } }, "nbformat": 4, "nbformat_minor": 5 }