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April 28, 2021 18:53
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Time Series - MA Analysis
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# A Study of Stationary Time Series and MA Models" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "np.random.seed(10)\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import statsmodels.api as sm\n", | |
| "from statsmodels.tsa.arima.model import ARIMA" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "The general formula for an MA series is\n", | |
| "\n", | |
| "$$X_t = μ + ε_t + θ_1ε_{t-1} + ... + θ_qε_{t-q}$$\n", | |
| "\n", | |
| "Where $X$ is the signal, μ is a mean value (or zeroth-order trend), ε is a white noise singal and $\\vec θ$ a set of unknown coefficients." | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "First we will construct an MA series with some known parameters, then we will try to estimate the parameters by reconstructing a signal that fits our original data." | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Pick some values for an MA series:" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "params = {'θ': [6.,7.,5.],\n", | |
| " 'N': 150,\n", | |
| " 'μ': 3}" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Construct an MA series from these values:" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "def build_MA(μ, θ, N):\n", | |
| " q = len(θ)\n", | |
| " ε = np.random.normal(size=N)\n", | |
| " X = []\n", | |
| " for t in range(N):\n", | |
| " x = μ + ε[t]\n", | |
| " for lag in range(q):\n", | |
| " try:\n", | |
| " x += θ[lag]*ε[t-lag-1]\n", | |
| " except:\n", | |
| " pass\n", | |
| " X.append(x)\n", | |
| " \n", | |
| " return np.array(X)\n", | |
| "\n", | |
| "X = build_MA(**params)\n", | |
| "\n", | |
| "plt.plot(X[1:])\n", | |
| "plt.title('X');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "While this signal is dervied entirely from random values, it does have a particular signature, mainly its mean, trend, variance and periodicity. None of these can be read directly from the generating function, but are results of complex combinations of the model parameters. Our task is to discover a set of parameters that best reconstructs this signal." | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Use an autocorrelation plot to identify the order of the the MA series:" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "sm.graphics.tsa.plot_acf(X);" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "From this, we may estimate that there are two significant terms (after the first term which is correlation to itself = 1). This is less than the three θ parameters used to develop the orignal data. We will use a model with $q=3$ to make our model more complex.\n", | |
| "\n", | |
| "We will attempt a brute-force approach to the fit the model. We know $N$ and $q$. We need to find values of θ1, θ2 and μ." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "N = len(X)\n", | |
| "\n", | |
| "mses = []\n", | |
| "best_mse = np.inf\n", | |
| "best_params = {}\n", | |
| "\n", | |
| "for μ in np.linspace(0, 10, 11):\n", | |
| " for θ1 in np.linspace(0, 10, 11):\n", | |
| " for θ2 in np.linspace(0, 10, 11):\n", | |
| " for θ3 in np.linspace(0, 10, 11):\n", | |
| "\n", | |
| " MA = build_MA(μ=μ, θ=[θ1, θ2, θ3], N=N)\n", | |
| " mses.append(np.sum((MA-X)**2))\n", | |
| "\n", | |
| " if mses[-1] < best_mse:\n", | |
| " best_mse = mses[-1]\n", | |
| " best_params = {'θ':[θ1, θ2, θ3], 'N': N, 'μ':μ}\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.plot(mses)\n", | |
| "plt.axvline(np.argmin(mses), color = 'r')\n", | |
| "plt.title('''MSE Error as a function of Model Parameters \\n \n", | |
| " Minumum error indicated in red''');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\n", | |
| " {'θ': [6.0, 7.0, 5.0], 'N': 150, 'μ': 3} \n", | |
| " {'θ': [2.0, 2.0, 3.0], 'N': 150, 'μ': 4.0}\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "print('\\n', params, '\\n', best_params)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x360 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.figure(figsize = (10,5))\n", | |
| "\n", | |
| "for _ in range(4):\n", | |
| " plt.plot(build_MA(**best_params), alpha = .25, color = 'r')\n", | |
| "plt.plot(X, color = 'k');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "This may not look like a great fit, but let's compare it to some of the other MA series that were also considered:" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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3d83PV61gxeJIK8rCupKRy+UaWi0CXA4Ea3Jyko6ODmJ+7E41rsZOwjUTLCHEJiHEt4QQB4UQzwgh/qv/eKcQ4n4hxFH/7461H25zMT4+zite8Qp+//d/n0996lPccMMNK452ibCAXC63pDwoPQ9vkSH3xS9+MVu3buVjH/tYzeNeqYzw29CFriszb7SInFfUCxmtxs6dOzl9+vSy6fuXO4Jd9t69e7FtO1Sz1oJSqYTrus0jWFUKlhb3M+Iio/sVi0KhsGwlAFQ1YHZ2FusSPg8mJiaW+K8CXHPNNRw+fPiqsuY0Q8FygP8mpdwDPAf4L0KIa4H3AQ9KKXcCD/r/v6QwMTHBpk2b+JM/+RO+8IUvcObMmUt7dMYlhnw+v4Rg2adPU376mZrHNE3j7W9/O9/85jdrukhkpaz8Vz6ErkcK1nnGSgrWzp07kVJe0d0+ge9q7969QHPKhNlsFlCbtqYsgIs8WBBlYV2pcF2XSqVCyo/kaITLYVzOcgRr9+7dzM7Ohtef4zlY7qVLFpuBNRMsKeWolPIx/9854CCwAfgZ4JP+t30SeM1af1cz4XleTeJsYMILbpQRVsZigiWlxJmZrTva421vexu6rodmd8+ykK6HqCJYaBrSjRSs84mhoSFSqVRDv8f27dsBOHHixAU8qguL4AZ/7bXX1vx/LQjuG1LK0Oe2FkjH32hUEaxLxYflyegabSaKxSKwvJcVLn+CtbiTcDg/zOGZK9v03lQPlhBiALgZ+CHQJ6UcBUXCgPrv+kXCzMwMnueFJ0PQIhsRrNUjn8/X+Aa8XA7pB8nJRd2A69ev58477+T+++9XXy9VdRD6UApW1EV4PhFENARzwhajs7MToClls0sVAaG67rrrgOYsWMFUA6A5ZULPRegaQgg1RuoSycLypMdTk08xWbxEA1ovQxQKBYBVK1iNfFiHDh1iZGSkuQd3lpiYmFjSQRhgMcGyXIuyW76iS4ZNI1hCiAzwb8BvSSlXzVKEEO8UQjwqhHj0QqYqL87raG1tBSKCdTZYrGC5MzMLX6wTt7Bt27Zw8QmImKg2Q2p65ME6z2gUMhrgargOJicn0XU9zP1qZokQ4MyZM2t+Pum4oKnGDyHEJZOFVXbK2J5N2blyPXoXGmerYDUiWHfddRd79+7lvvvua+4BrhKO4zA9Pd1QwQp8n2NjYwC4Uqm0lnfxNw7nC00hWEIIE0WuPiOl/KL/8LgQot//ej9Q9y4mpfyolPJWKeWtjZjv+UBwkgYnQ0AUruSFpdmoJlhSSpzZWYSpEtkXK1igfD8TExPYtr1QCqzqQBS6FnmwzjMahYwGCBTJakXmSsPk5CRdXV3hgtXMEiE0UcEyqq6NSyQLq+wqYuXISGluFgIFay0Ea2ZmhqGhIcrlMq985Su5++67L7gyND09DSwNGQ2g6zrxeDx8va7nE6wr2IfVjC5CAXwCOCil/OuqL30VeKv/77cCX1nr72omgl1rcNLquk4mk4kI1lmgmmB5+TzSsjF8klyPYG3cuHHBo+JfXKI64kHTIw/WeYTneQwPDy+rYAWxG1fydRCUMWKxGG1tbU1XsJpBsKS7oGABl0wWVqBcBYtjhLVjtSXCdDpNOp2uS7CCSRmf+tSn+Lmf+zl+93d/l7e+9a0XlGQ1SnGvRjqdXiBYvoJVcZtzXkvLovjY43j+818KaIaCdTvwi8CLhBBP+H9eCdwN3CWEOArc5f//kkG9k6G1tfWK9p40G9UxDe7MDEITGF1dQGMFC9QCFBKpqunxwtBD4hWh+ZicnMRxnGUVLCEELS0tV7yCFajlvb29TSVYnZ2dzVGw3EUK1iWShVVylHcyWBwjrB2rLRFC4yyswNf0rGc9i89+9rO8613v4tOf/vQFzc06V4Jlu80ZAO1VKkjbxs1fQQRLSvkdKaWQUt4gpbzJ/3OPlHJaSvliKeVO/++ZlZ/twmFiYgJN00JTLyiCdSXv3JuNagXLnZ1Fa20LO57qebCChX14eLjGxBsi6iI8r1gpoiHAlX4dVHcP9/b2NrVEeO211zZRwVq4PYdZWBdZxQoUrKhE2DystkQIjQnWwYMHicfjDAwMIITgla98JXBh54qeLcFyPHUONUvBCuwl0rr4Sm+AqzbJPSgTaFU3sSt9YWkmbNumUqnQ0tKCmy/gVSyMzg6V26OJVShYtSUQiLoIzzeChX85BQu4qhSsnp6epilYhmGwffv2JipYRvjfIM7kYhIsKeWCghUpzU1DoGCtVCIEdQ89derUkscPHTrErl27wqkaQQPHhZwr2mgOYTUCglV9/jTL5B6ouxd7E1KNq5ZgjY+PL2HaEcFaPYJdSCaTwZ2dAQF6hx/WbxgLOT5V6OjoIJlM+gqWp0zt1dB0pCev6Lbdi4mVUtwDXMnXgW3bzM7OnlWJ0CuVVjwnc7kcra2tbNq0idHRUZw1Di2XrhvO5wRCZdj1539eDFiehUQiEFGJsIk4GwXr5ptv5tixY0vGuh08eJA9e/aE/9+yZQumaV5wBWtxVWgxUqmUIlhV50/TTO4+wboUvIoBrlqCVS8Q7UpeWJqNYNBzJpNhauQEdioe7riFYSCdpXV1IQQbNmxYRsHyT8eok/C8YGhoCMMwlpXw4cq+DoJOp2qCNTU1hdfA2yQti9L+/bURJHWQzWZpbW1l48aNeJ4XtqKfK6TrQpWCpcVi6B3t2MMj2BdpHl3JVupVJpYJyzsRzh1BuXW1JneA2267DaBm4kipVOLkyZM1BEvXdbZv335BFKy8leex8ccYHR9dUhVajHQ6TbFYDM8fUzObRrACe4msXDpdiVc1wQo6CAO0tbVdsQtLsxEQrHQ6zdjMaWb1hVwcYRh1PVig1JOGCpYvb19sI++ViuHhYdavX7/sDRCu7BLh4jJGT08Pnucx04BAeZYFcuWQz2qCBWvrJJSuC5IaBQsgvmMHekc71uCpi0KygoiGtKmUlqhMeO6YKc+wf2o/Jad0Vib3W2+9FYBHHnkkfOzo0aNIKcMgzwAXanD76dxpXOkyOj664uYtKBEG0wCSRhJXus0h7P75WG+SyMXCVU2wIgXr3BEQrFQiAUg8fcGsrhSs+hfMhg0bGB4eViVEvY4HCyIF6zxhpZDRAKu9DqzTp3EvMyIWGNqrTe7Vjy9GOJlghXMyIFibNm0C1hjVEPwu3ah5WGjaRSVZJaeEqZnEdb9ceRHLhJ70ODB9gKnS1EU7hrVgpqQIfckphQpW0h98vxw6OjrYsWNHDcEKIhqqFSxYIFiN1NlmYKY8Q8FWxz85MblqghWcOylDqXbNULGqG6QuFR/WVUmwSqUSuVyuIcGKPEArI1A4kgnV3eRUc6UGHiyoIlius2SHHnRNXUmdhG42S/nQoRUX6AuBlUJGA6xGwZKehz06hjN1/ha4bNlu+rUYEKlqBQsap7lLyy91r5JgNU3BgqUKLz7J2rkTva0V2/fUXSiUnBIJI4GhKeJ3McuEk8VJCnaBnHV5EXxQ5HDeUnFAlmtRLBZJpVINx1ctxm233baEYAkhQmN7gJ07d1KpVJoyWaAePOkxlBsiaSRJ6Ima7txGCAhWcO4kTUUqm1ImrFJUI4J1EdGonbS1tRUpZajORGiMsESY8AfRVp1JjTxYoEqElmUxOT29jIJ15fg73GwWdz6LfZFnhEkpz0rByuVyy+58Q2XnPN3IyrbLM8NZpgvN9VMsJljBPaAhwbLV71+tghU0cqyNYC2dclANIQR6ZyfSdvD8mZ4XAmWnTEJPoAt1XBdLwfKkx2hBDdS2veZkKF1IzFfmwxJZxa1QKBRWVR4McOutt3LmzJkwruHQoUMMDAwsUcACwnW+yoSTxUkqboWNmY0kjSTTk9PLdhDCUgUrafgEqxmdhFX3K+8S8WFFBKsKV8MctmYhIFiBguUuKhEilw8bHR4draNgXXkerICI2KOjF3QxXIz5+XkKhcKqFKxgo1FYJhFZ2uqzleXzM5OuYqtzwHKaey5MTk4ihAg7nVYsEa5SwcrlcrS0tCCEYOPGjWssEar3tjqmYTF0f6TRhSrR2q6NK12SRjJUsC6WB2uiOIHt2ZiaeVkSrNnKLLrQSeiJkGCtxuAeIDC6ByrW4g7CAOczqsHxHEYKI7TEWmhPtIMDhXxhVQSrVCph+xvwhK7iR5qRhSU9DxEz/cHokYJ10RARrLUjIFiJmAmAIxZKOcHCUG/XHyzwI+PjdRSsK6+LUNo2ImYiNA3r9OmLdhxBRMNqFKzVzCMMlB2vYp0XQmz5Ko7d5HLxxMQEXV1dYV5Qlz95oLGCdXYeLGDNBCt4P5dsQKqgJZMI08C7QKnVJVdtDhLGgoJ1McJGXc9lrDBGa6yV1nhr01LALxSklMxX5mmPt5MwEmGJ8GwUrGc961lomsYjjzyC67ocOXKkLsHq7+8nnU6fF4I1XhzH8Rw2tSjPYWFOnYcd3R3L/lzwOnMFdW/RNZ24Hm9OidDPjtMukbmdcJUTrMVdhBHBWoD0PKwzZ8IFZjFCBcv0CVb1mRQQLLuxgjUyMVE7h5CFEuGV5MHCcdCSScwNG3Dn5nFmZy/KYaw2ZBRWeR1UqZPnQ8U6XwRrsU/EMAy6urqW8WCtXCJ0HIdisdg0ghW+t8soWABaOoOXvzAKVhDRkDSS6L7S7HouUsrzqjhPFCc4nT0dRhpMliaxPZv1mfWhgnU5eWazVhbHc+hIdBDX4+dUIkyn01x77bU88sgjnDp1inK5vKSDEFQpeefOneelRFiySySNZNhRmp1W94qOrtURrHwhHyqhMT3WHJO754HQLpm5nXCVE6zFcmZEsBbgFQrYI6M4M/UJQUCw4qaGFAKpi9BXEJY26viw1q1bh67rDE9MLPWYBP+/gtq/peMgDANj3Tq0ZAL79OmLUgJd7ZgcWK2CtfDZno+bme0EJcLmm9wXX/c9PT0rdhEup6oG71M1wRoeHj7n7q3VKFgAeksGr1RuuAlqJspuGU1oxPRYjQfLOnaM8oGD5+33jhZGGS+Os39qP0dmjzBaGKU11kpLrAVT8zd3l9HYnrnKHJrQaI21EtNjeNKjUDy7EiEsGN0bdRAG2LVr13lRsFzpoomF83N+Wpn2W7tal/254HUWCoXwPIrpseaMy3H98Wux+CWThXVVEqzx8fFwMnk12tragIhgAXhFtWOV5fq+oXw+TyKRQEgJxsKOFpYvEeq6zrp16xidnLysugil61J64olQgcqVbeaKK1/E0rYRhoEQgtiWLXjlCs7khW8tP3bsGKZphjECy2E1Gw3pOODb7i43BWsxwWqU5i6lXFWJMHifqgmW4zjnPoInULAamNwDaIEP6wI05ZSdcmhI1oSGJjTVRToz2/AesVa4novlWvSl+lifWU/BVt1nGzJqkxAQrMulTCilZLY8S1usLSyNgbqXno2CBYpgTU1Ncd999wHUVbBAdRKePHkSu8kk3JVuSJAApqdUgG+mM7Psz4UlwnwuVEJjWqwpSqT0JGg6Wjx2yWRhXZUEq14GFkQKVjWCm6bXYPHM5XJkMhk82woJVrCTDEt9jcJG16+vq2AJIZQP6xLsIvQKat6iN692akOzJU5OLe9/kZ6HdFyEX0bV29qUb2YZ8/j5wqFDh9i+fTvGCmUnWCXBsm20WAxh6A3PkdXAzeXqhngG5nanyTfJsyJY/qIkNLGsglWPYMG5RzVIz0NoYkUFS0unQYB3AQhWENEQQC9ZOMNDau6o652XxSyYe9gSa2FDZgM39tzIdd3XkYmpRTymqwaby8XoXrAL2J6tTOGwQLAK50awAD7/+c/T09MTegkXY9euXbiuy8mTJ8/9wOvAk14NwQqun3T78q+jpkQo1L0oeB/W3Eno+QqWP1bqUvBhRQSrChHBWkCwaMoGnW/5fF4NerYrIVEKu4p8QlHPgwWwvr+fkXoKFqh5hJegghWQIs9PXS7bLq63/I4rJJiGGT6mJZN4peL5OchlcPjw4Ya73MVYVYnQccA0EYnEmm5klcOHserkOQXKleU0bzal4zjMzMysukQYdBCKRFKRiAbHEbxPwfu2ZoLlOEtCRutBaBpaOo13njsJHc/B9mySulKwpOtinBrD1TTM9ev9b2r+pihIjq9WzoJ/Q5WCdZkQrNmyUr/b4+3AAkEMcrDOBjfccAOxWIypqamG5UE4f52EjufUTISYmJggFo9hJJc/bwOCVSgUwhJj8D6s1YcVjF+LCNZFRiOCFdwg532VYq3wikWcyUnsiQns8YmLZnA+FwTEyqtYdcsj+XxeKViOs1Ai9LNNhBAIQ2+oRG3s72ekngcL1UkoXeeSG8MRECuvVMLzJBXHw1mBYBEoILFagnW+og0awXEcjh07xu7du1f1/atSsCwbYZhoicQ5vx7pukjXwyssJZyW46FrqgZpu80hWNPT00gpl1z7vb29TE9PLxnQHHRKaklfuWmgYjVbwao7RqoB9JYWvELhvJZDAoN5mFk0OIhuu3gD6xEJ9d6cjyDdkl1CIEKFYzFCD9ZZBJ5KKS/aBjpn52iJtYTmbkMz0IVOsXB2XYQAsViMG2+8EWhcHgRVIoTmE6zFCtbk5CTdPd040ln28wgVrHx+oUToE6w1+7AC5dcnWJdCFtZVS7AWdxCC6ihKpVJNuwArx49TOXES6+Qg1uAglSNHVzSkOq7HgZEsZfviEQzpungVC83fVdVbQAOC5doVZFAirLqwhK43LBGu7+8nWyhQKNZRcnSDqcIE+6f2N+GVNA+BgiUdl3KxhJQgJcuqWGGJqaosJ5JJpOOqGXfNxsGDsG0bHDhQ8/Dg4CC2ba+aYK1OwbIRpomIJ/Cs1Uc15Mo2j52exXG9cFH2irUEwXE9PAmpmDqvmuXDWhwyGiAgXMEgaMvxmC/aNQoWNM5nW0ywuru7icVia1Cw3FUpWABaJoP0ZLgBOB8ISnUJI4H0PJypabTeHtx0fEU7wFpQdIokjWTDhHNd05UX7Cw8WPfffz89PT2hOfxCQUpJySmFo2ECxPU4pVLprBUsWCgTLqdgdXV10dnZ2fROwsUerGrRIiDk9RAQrGKxGJYIY5pf6l2jl066avyaMC+dLKyrjmB5ntdQwYLmziOUto3R3UXyphuJDQyEjy2Hou0yX7LJli6e7O2V1AWid6iW23oem1DBsm00vyRYk+xsmI0Jlv/eD9eZpSZ0jXw5i+3Zl4yKJV0Xr1RGb1dNEOXsgudlucU/eP3VBEvz05bl+VgQ//RP4eRJ2Lev5uHDhw8DrJpgxeNxTNNc0YMlTAMtEVehsquU4wsVl4rtUXG8hbKSpIYgBIpVOm74/z+/BGvxuJzxbJmDY1nlLwT1GqFhGWwxwdI0jQ0bNqxBwXJXr2BllB/pfJYJc3YOQzOUkuS/B0Yypa5Pv/x9PghWySnVlATrwdTMs/LuHD9+HMuy+MhHPrLWwzsrVNwKnvSWvB5DGJRL5bNWsGCBYK1U+m92J2FwX25IsNyVCVahUAgVLF3TMTRjTQqW9LxwQLoQ4pLJwrrqCNbs7Cyu6553gqU6kBxEPIEWj4c36ZWkdM9XREqrULC8cvm8lAYCg7ve3q5MtKUGBCudxpMuMX+eVDUhEuYyA5/XrQNguN74GE2nbKnF9lJpvw7UK6O7G4BSFcFaVsEKCJZZWyIEmp/qfuoUfO5z6t+LdueHDh0CVk+whBC0tLQ0vA6k46ibme/BgsbNEIsRmNYdT9ZcC9XG/8DgnvYVLOsCKVgBwao4HlKCZykSGXbFrlLBAti4YQNnBgfP6TjrDUJvBBGLoSXi59Xonq1kaTFVSn3wmelmDFe6CDOIZGnutRr4vqqN9fVwtmnuc3NzAHzqU5+idAEnKwQq4GKC5VX8c/0cCNbrX/96PvjBD/KiF71o2e/buXNnUwlWEMdTHdMwMTHBuj51X1+NglUulmsIWkyLrc3kHlyb/nVzqWRhXXUEq1GKe4CmKVhBeSi4AfmS/0o7vWDBLtvLLypSSspPP31eZtx55TII0FJJtROo04adz+dJp1J4noceiyMQNYRI6HrDm26oYI2NLfmajYPr52edLwVrMldhdH71N9dAXdFbWtDiMSq5BTKwnA9L2jaIRSVC00SYZvMJ1l/9FQgBW7YsIViHDx+mu7u7YadRPQTzCOshUGErUiBNJe+vdrcYnN+eJ2uuhRqC5ROqVKhgNceDtZKCFXw9UMyccgVhxhbIzgoKViaz0KK+vquLoVOnzm0D5LlLQniXg5bJ4ObOD8EqOSVsz6Y1rshjSLAME8dzqsKBm3utLvZ9NYKpmWdVWgr8tbOzs/zbv/3buR/gWaIRwXIr6n2LJ+v7zJZDJpPh937v94jFYst+365duxgaGqLYJNU8qFQECpSUUilYPb3E9fiqCFapWAq9aLD2sNHwOvON95dKFlZEsBahra2tOQrWovLQand6wXq9koIlLQvperjnwTgvSyW0eFzJrYlkXQUrl8vRkk4rs6MZw9CMWgXLaKxghQSrDjksyUq4Gzlf3UGj8yWGZkur7k7zCgU17iYWQ6RSVHJ5AlvI8h4sp0a9CqClkmHOWFMwNQUf/zj8wi/AC15Ql2CtVr0KsNxGI/hcD0yWGC04CENftdE9IKSOJ0PTuJaI1xCsgOAkTR1dEzhNVLCEEEuI5mIFK/j9rmWpzz0gEQ3IUhBZoleRog19fQxPTJyT1066Z0ewvFSaMxPzlPPNLzvnLD9ENeYTLJ9cG2Yw5F0ov0uTFaxGhGQxTP3sFKz5+Xm6u7vZsWMHH/3oR9d0jGeDklMirsdDUhLAqaj37VwI1moRdBIeO3asKc8XKFiBApXL5ahUKvT29pIwEsuWCD2hMgHLpXKNArbmNHf/XhJ0pl8qWVgRwVqEppUIQwVLLbCrNYN6MlCw3GUJQKAYeMVS0w3TXrmM8EtZWjKBLC8lI/l8nnQyiYeHbsbRhV7Hg1X/NSRjMTrb2sL5eNUoeQsE62y6g1YLz5MULRfHlRSs1e26vUIBLaV2XloqRaVYIm1o/jEu48GyVafdYqhOwtUTvBXxf/4PlErwO78De/bA0BBUqU/nQrBaWlqWVbA8KXE1nXxFlcFXK8c7vhrlVpUItdZWvFIp/H/QQahrAkMXTfNgTUxM0NnZuSQLrLOzE03TqgiWf4yWpa7fFa7dbDYbNgaEz9naSsWyKMyfw73EXX2JEKCgxciWbGZnmt8dl61kMTVzoVQXKlj+kHep5r81u0RYcpbvIAxgaiaudMNFfyXMzc3R3t7OO9/5Th5++OELZnYv2sW6ZNEpq/fNjC+9TzQLze4kDCoVAUEKlN/e3l6SepKyU657b3M9yf7heVKpFKViqaZEGNfjuNI953t+GO1TVSKEix/VcNUSrHpdhHAOBGtwEPyp5tVYomAZxqp2eoEiIqXygjRC9Ynj+r6CZkBKiVcqhV4hkUggPVkTBuk4DuVymUwqhSc9NMNE1/TaLkKjcVlFuh7re3vrmoBL0sKQGkhZS9iahKLtElz7ufLKO9/A4K750rZIJrEdl5RU74ezTPlKOnZNREOAMFepCcS4PJdFfuhD8NM/DddeqwgWgO+7mpubY3x8vLkKlu3geh4YJkXLRUvEz0LB8tUhKcNzQ29vrzG6266HqSuJMKZrTRuXUy9kFJQpvbe3l9HR0fD3IyVuxVaqZTjCqbEHq9p/BZDxvWm5ubNTmKXnIT15VgqW6y902Xxzy85SSnJ2LiwPQlWJ0C9LOZ6zrFp9rggM7o06CAOcbRbW/Pw8bW1tvPWtb8U0TT72sY+t+VhXgic9ym65LsGyyuoeEEsuX+ZbCwb8BqvTTRo2H4yACkp81aJFwkggkXX9VEXLwZOQSKUoF8s1JcLgczxnFcurVbBE7OysC+cLVx3BGh8fr1smCNDa2np2OVhvfzu8/vVLHq7XQSaW6awL4FUx/9IyCkuQ8SFMM0wXbwZkuQwSNH+BCE3ZVfX7gl/OSScSuL4HSxd6rQfLWMZz5rms7+tbomBJKSl5FTVA1JNNU7Bc1+Wv/uqvGBkZoeBL8oYuyJZWfv7gdWtp1UZtm6prLu0GPrFlFn9/TM5iaKml7+m5IvfhjyBmZuC//3f1QNBR5O/Mz7aDMMDKChZgGFiOh2fG8CqVVcnxwfvlutIvhWnoPnkNjNoVxyPmK4SmrjVNwTp8+DCbN2+u+7Xt27dz7NgxbFcZ3HEcPM9bpGA1zsFaTLBa/OtmfhUl/JrzIPAynQXBsvyyU75QXzk4VxSdIo7nhOVBYIEUVylY6HrTPVir6SCEsx+XMz8/T3t7O729vbz2ta/lk5/8JOXznEu3nJ+sUlIEwEisLpbjXBCcm8vFrpwNgo1voGBVE6y4oZSjej6swPaSSCaXKFhrTuWvY3IHzk8czlngqiNYExMTdHd31/glqhHs3Fd1oxodRX7rW8gzZ2DRBxmmmFd5cITR2PgdoHqNKje4oYPK+BAxE729HTebxXbtZc2Fq0XQDRaWCIMgwaqbUDDoOZVIIIUyvNbzYEF986t0PTb0rVtCsCpuBVdIkkYSbZUEazX+nM985jO85z3v4XOf+xyFioOhCzpSMXLlledfBd6ggARUdBOpaZh2BUMXy5vc/UHPixFGNazV6G7btP/9h8je+hzkc5+rHtu+HQxjCcFabYp7gGWVXMfG03QCI1pZN/E8l0px5Rv4ggfLC7vlRCyGiJnhe227HjE9IFjNKRGOjY2xf//+hh1XO3fu5NixYwuKpKPKoMI0F0Y4NWi6qEuw/Bt8boXNj5vNUtr/NK6/+AXXy9koWA4aUtNwKvaqy96rwWL/VXB8QhOYAcHyXLVxbDC14VwQJsevhmDpZ6dgzc3NhTNn3/nOdzIzM8MXv/jFcz/YVaDoKAJd7/UExnMj3lyC5eZyVI4dQ9o2uq6TTqebFj8Umtx9glRNsIK0/8BDV41AMAgJVpUfLXiucy4RLhqQLmIxPwsrIlgXFMtlYEkpaW1txfO81XVc/Ou/IqRUA48XlbukbakW7yqJWxjGyjENUmLoynuynIIlKxVELIbe3oZ0XM6MHebQzKGVj3kFBIt+QKxU15tRY3QPCFYyHgNdQ9f0Oh4sn2DVy/3yXDas62N8fLxmCGnBLoCmkTQSGGgrxjRkyzaPnppdNpTVsize//73A3Dq1CkKFZd0zKA1aWC7csVmAq9QUO+BLzlXHAnxBKZdRteEKpXVQZBSXs/kLgxDEYq1EqzPfx5z+AzD73zXAtEzTdi5s4ZgGYbBtm3bzuqply8R2siqIMyyZjBVnubw2MrhsGEXoZTgLhBQLZ2uIlgSU69WsNY+LueBBx4A4K677qr79R07djAyMsJsVpEKYdtIuVBqQNNXrWBJ1yXtk+jsCuX74LpyAyJ2DgqW7XoYMRMcp6n5efOVeRJ6IlQXwFfxDGNhQZTOslMbzgWr7SCEqpDKsywRArzwhS+kt7eX+++//xyPdHUIEunrvZ6gGtBsBcudn8eZnqF86DDStpdVpM8Wi2MaAoLV09ODqZvoQq+baVX017NYMrEkpiEoF56zLSS4bgKCJQRaLBaVCC80GhGsol3kx+M/JpFWxGI1bN/73OfwAo/NqVO1X6ynXujGijs9V0o0IUia+rJRDdKy0OJx9NZWEJCfGsP27DV33nnlsiIU1eGYiURNVENAsNLxGBgqJG6pB6tx16R0Pdav60dKyTPPPBM+XrSLoOnE9DiG1FbczZQtd0Wv2ic+8QlOnjxJIpFgcPAURcshHddpTajPLVdeQVEsFEL/FajmA5FOYVgVTE1rqGAtzCGsf+PUUqm1dRJKCX/+55R272HuJ++q9YLt2VNDsLZt24ZZh+gth5aWFgqFAm49BdJxcKsIQEmoVnm7WFi+MUPK8DiDHKxAqdEzGbxyBbti4XoyLBEGf681quGBBx6gq6uLm266qe7Xd+zYAcDRoNPKsXF9BQt89bmBgpXL5WoJluPQ4jdF5Fa4jwRp057/feeiYFmORyIZJyE85ptEsDzpkbfzNf4rICTFgfpwPjxYRVttblfKwIKFhflsCFZ7ezugvHfXX399zT3ofGC5RPpgI6/HV/95rwbSttUg7nKJ8uEjTSVY9RSslpYWEv6mPG7Uj2oINrPxZIJSqVTTRRg817lG8yxWsAC0lpazuo7OByKC5WO2MotEEk8raX92dGz5zqjBQbQf/IDp178CALloWnm98pAwjRV3ep4n0QQkTL2huiKlxKtUEPG4urmlEthzMwBUnLUxdq9UCj1C4XEnkjVBksGFmvIJlia0cOxBcIEsVyLEc3nRHbfT2dnJy172Mh577DEACk6BVDyNQKBLsSLBcqoyleqhWCzygQ98gOc///m85CUv4eTgSTypEsITpk7M0Jbd8S82uIMq28YzaaTtoLtOQ5N7QKTrKVjQhE7Ce+6Bp59m9J3vAk2rDePcsweOHwfL4tChQ2ftv4IF30a+ToCltG08X8GKGYKSFLh4YFnLqo7VZNRxZc1ImOA9rvh5TtUKFqwtzV1Kyf3338+LX/zimgG11Qg6rY4dDQiWE5YI1QEu9RnZrsfwXGlJF6G0bTL+6JPsCl2EwQ7bzed91TPYiZ+tghUjo6sNQ6Pr4WyQt/N40qv1X7EQIRFe71J9ho06hs8WhYrDDwZHKdneih2EoJSK1WZhOY5DPp8PFSyAvXv3cuDAgaZ61xZjOT9ZoGDFkrHmxtI4DiIeJ7ZjB7JUJGOaZJvk1XU9F01oIWGcnJysWVOTenJJidD1JBXbQwiIJZSCVY2QsJ9ruHQd5Te+fXs4QeVi4aojWOPj43U7CAO/QaBgTe9/Cnu5rot/+RcAxn71zUgh8E4tIli2vWRxXc1Oz5Oga4KEqWE5Xl0TtbRtlaQd8w2FKQNRLIPjLJtBshrIUiksDwbQkgmk7YTlvmDRTcRM0FW5ILhAQolX1xt2TUrXZWDzFr773e+SSCS48847uf/++ynYBVIJtVAZrKxghS3/DW6OH/7whxkdHeWDH/wgAwMDYRdNxvc7tCYMsssoWIsN7qACYOMtKlBSt0qNFSx7oQmhHrRkUnVnnquEfffdyM2bmXjla4FFBGTPHnBd3EOHzmrIczWWm0coHSckWC0Jk5LlYsd1RMVa9jOrPpcXSoTqvAkJlp+SH3iwDD0Y+HzuBOvgwYOMjIw0LA/CgoJ17NhRhADd95mFng5DXzLs+cRkgVNThaUlQtumJSBY2eUXNa9SUf4u6Y+7CRQs42wIlsSIx0jrEteT5K21q0nB/bAlVhs/EZBiIQSa0JQHaxUZf+7cHMXHHlvx/jc8V6LslHFsY8UOwgArjsuxS1CYJjulukSrCda1115LoVBoWofdYqzkJwsIVjKVXFsO1CIEG3yjo4PYjh1kEgmyTcpMXG4OISjlcfGos0AsSMcMzHiccp1sRUMzVozbkFLyqle9iq985SuAui+ULBcZ3FsabKAuFi6toznPKJfLZLPZJQqWJz3ylrqxBwrWfC6/7DRu73OfJX/zXvRr92Kv60EO1pYIpeMsKQ8JXVft+ct0W7me5MCTj5PwSyP1/EXBoqzFlf+gmNQBgcgW1jTPyfPDSwODe3jci8ahhB4s00Aayn+12KQohFCEsp4Hy+8eu+aaa/j+97/P1q1bedWrXsX3vvU90nGfYEmtbj3enZ/H8W8UdtDyX4fkzM/Pc/fdd/Pyl7+c5z//+WzZsoXs/DzlQo64/962Jk0sx2vo4Qo8QcHiL6WkYrskWtT/9Uq5oQcrWGwaESyxlpE53/sefOc7eL/1bqT//EtKhMDUww9TqVTOyuAupWRsvkwmoz6HxaXyYASU6xPqTFx52SqagMry8yMDMho0B1SXCIWh5hpa82phD0uEPtFay7iclfxXoBS73t5eTpw4jqkLNHeBRAKgaTUK1kSuzEzBolIu4bruUoLlnzP5FcoyXqVCNqbImJvLhXk+YpULhespUmUmYqQ19f7OF9euhGQrWVJmqqaVXv3CBVIcdA6vJs3dy+WQsyPIkQMw8jic/gHkameRFi2H6byF5VWQ3upjCwzNqFF/pG1Teuop3LwfXjt+ACYOMH/kewC0e7PgK1579+4F4MCiAenNwkqBqUGJMJ6Ir+nevRjV64/e3k5rE03unvRWJFhAzesp+qS/NWmoEmFxKcEKCPtymJmZ4Z577uFDH/oQAEOzJQ6OZcP5nasl5RcKVxXBKpVKvOIVrwgvqgB5O49EIhCYqBMhXyo27kA4fBjtiSeZ+Zm76E31Utm4DnF6gWCFcwgXL65B6OQyu7j9Tz7OG1/9Ir72FdXZUq9MGBCsoBU1bzr88PGDfPSvPrGmTsLFBvcAi+fnBTO8Yrq2UCKsY1IUhrFk1w9+KJx/U16/fj379u2jta2Vr3/p66TiSh0KuggXS/fW4CD2sEqArw6tXIyPfOQjzMzM8Cd/8icAbNmyBYDZieHwImzxjaWNyoSyXEYYOlpocPfwJCSTcdXBWSkvUyK0F96DOljT0Oc/+zPo7MT6pV8OH6pReHzFav4HP/D/u3oFq2C5nJwqIGK+SXsxwfJfl6cb6JogHTPwpEsJlWu1rILlv1dxQ8N1vSWbEC2dxs4rQhLkYC2UCM+9hHP//fezY8eO8BxohB07dnDy+HFMXUNzHWRNxMrCuVy2XQaniqRiOgX/eGu6CG2bdFJ5bpbzvUjPI58vcSrvUYolcLPZBQtBg/NmMYLP3YiZaEDGoCk+rLJbJm0snY9XTYqDzuFlI1mCn8uOQH4MWZgGzUAZR2sJ1shcCYRLIubhuqs3fZt6bYnQzefxSmW87DxU8mAXoX0T84bKQGtLxaCslMU9/mbkfPmw5st+x7WZqvv1QqFAMplE07TzoGD5/kEhyGQy5Jo0r9LxnJpS+xKCpav1o7pMWLY8NKE2ZLFEnFId/6khjBVLhEFW3be//W3m5uZwXA/b8RS5P4uy+oXCVUWwOjo6uOeee3jNa15T83ggh3fEO4j7deq8rjeM2pef/zxSCJzXv464HsfauA5OVUnMDdSLYOe33I3oyEF1oX/53/4fsIyC5bmI8afwxp6mUMny+a89yGc+++U1lQgXRzSExx2P+4ZJ9fUgN8Y09LCLMCRYK4zLCU28VRdoe3s7W7ZtYXJ0kmRM3dQN6SelV11wXrmMV66EZuNwpEkdgvXVr36VZz3rWdxyyy0AYf7R7PjCeJ5UzMDURcMyoVexwjIsQMVvOoibOloqhW5V8GR9D5h0HIQmGposha6jxWOrUrCkrAp6HR+Hr34Vfv3Xcao+pxqFJ52GzZvx/F352RCs4L1MpBXRXUIQfILlajq6BsmYam6oSBCut6yPJAgZjRs6bjAwuur90ZJJnHIFHYnhE6sg0d1eppFhOdi2zUMPPbSsehVg586dnDp5AkPTMFwHt6p7TvgKlpSS45Nqodq9rqUuwZKOg2boZNJpcoVCQ2VHWhZFu8zx8jEKMQOvUFCfs1i9ghV87jFfzW41BfmKs3w+2wpwPZWoXc8DVaOMBJ3DyzS0hD+XnwEziVx3E6y7HjK9UFkglGXbZSpv0ZEWqoQvY+HQ70Y4fPgw+Xx+ycDnYNPilUpQmFRxIq0bmLPUe9rW2hISrK6uLvr6+s6LgmW7Hj8+PU6h4tV0YlajUCiQTqcbdt6dMxynpszc2uQuwkDB8jxvSYBvoGBVr0VF2yFh6piGRiwZp1yHYOmes6KCNeKPV3Mch3vuuQfHk3hyIT7kUkNTCJYQ4v8KISaEEE9XPdYphLhfCHHU/7ujGb/rfCBn5UiZKZKzRVL+h5TzScQSFctx8D73WXLPvom2bdeiCx1rQz/a0HAYYtVIvVjW+O1j8MRxAO67715cq1iXYHmWhahMI6RFIT+GnDjE/mcOUSyXmZ+ZPod3QEGWywhdCxWb8LiFQCQSYUt5SLBMI2zZrm7bDlGva7JBG3pPfw+To5Phe6SjPofqCy5IrA/evzC0ctFiMjs7y/e//31e8YpXVD3/RgAmRmrjNFoSJtkGie6yUkZLLCwyQS5ZwtQQZgzNXxzq+bCkU38OYTVEMrUqguUMn6b07a8hzzwGn/+IevCuO2rUsyVK2p49pE6fpqOjg+7u7hV/R4CALCZTimAtr2BpxAwNoTlUpPq8HLvxLjz4nGKGhnRc5cOqOg9EPK4iGhYZls81C8t2PT7z7w+Qz+dXRbB27NjBxNgIrlVCOHZtidCPWBnLlsmWHAa6UyRMHaukylCLS4TCNGnJZMgXivXL5KiNUtEu4hoacwYg1TneSPWs+xp9EmL652mLoRpMVzOloAbleZg5Aa4T+pkWkwLpujWkWNf01SlYroMsZSHesvBeJDvUgfpEZ3iuhAB6WmIkYjoaWhgKXPcpXZfbbruNP/zDP1yS5h5cU16xBIUpSLSDboYB0u1dvVBZIBt79+49OwVrcBB+9mdhhZKb7aoEd002NusXi0VSKVWKbVawsnSVJ6n6PGrJZMhVzftcC6oJ1szMDJ7n1ShYmtCI6bGahquS5ZKK6ZiaRiwRx3EcrGBtdSwYfwZ94hBecWbZ3x0oWLFYjK985SsLa4BzduOlLhSapWD9E/DyRY+9D3hQSrkTeND//yUHT3rkKzlaChJjfIZUXycAOf8irTEh5/PwMz+DfvgIU2/5T7TH2zE0Q5UIbRv8D79eijsQdkxJp3Gnz+nB4xiGQblc5kfffpCSVUdBK+QQ9jxkesl3bWNkfJ5Zv1tp5shT2LOnoDS3ujdg5gQUpsPjaljSSqVCT1JAsGIxHanrtSb3agXLNJBO7Y2+XjutlJKuvi7GR1XJQOgauucv2FU3nXAkUDirsGrsShXuv/9+PM+rIVjp9k5i8QTjI2dqvrc1aVCxPSqLMo6kVAb0oAwLapetCVUaFYaO5r/WevMIZaUMdg7G9sPQj+t2j6o5jyunb7vDR5HFGbVwPPwodHXApjS25fs3zDpp53v20DszwzW7dp2VLyGYJBBL+jEDi3a9wbntajq6/7ym4WEFAaJ241247S2UCHFdXM+rnXQQj+N4HqazmGBp51QinMxVePhb30TTNF74wheu+P2B0X148Di6AK/62DRlRJ/NlknHdXpb/F16cRmC1dJCrlhsSDy8SoWyU8EzTXKmQGhCqaZnYdQNyH2gYGV00MRZlAmLMzD6lPozPwz58bBUtYRgBa8jKBH6JZ0VPVjlOXBciGUWVC49BUKD0gwVx2UyV6GnJY6hQ8LQEUIjvwzBOnPmDLlcjnvvvXdJmnvQnCKz00i7BGmlrgQEq617HVj5UAm/9tprz66T8N574V//VSnJy8D1JBW3hKk1jpsIFaxFMTdrQb2ImJaWFiqWtUBq1gBHOiHBqp5DWI2EnqDkqjXU9SRl2yMZ0zF0gekPti4UCooAjzwGpTl0PYaTG132dwcK1utf/3ruvfdeSv6m33GcS87gDk0iWFLKfcBi6vkzwCf9f38SeE0zflczIW2buVNHEQeOEj81gRlLoG/dRCKRCNl+qGCNjsKddyLvu4/Tf/578MY3hgGblU3r1fcMDqqfaUCwgm4badk8fmaWiayvCDllspYiSKdOHOf2F7yQvr4+vnnfv9dNc5fTp9FME9q3kMPh6JmFi2b+zGkqU4fVwp4dWfKzNShMqZvq5EEoztS0zS+Glsmo9nzLolwuI4RA13U0P+m6pm07eL31PFh1FKySU6Knv4dioahugpqOLmsJlnRd5VERhAQrWHQXk9V7772Xjo4Obr3mGkVsZk/hnvoR6/vXMTxUS7BSMXXc5UVEVpWHJSK+cHMUDz1Eyi6HBn4dCa67VMGaPYUcfhKRG1IdTHYRsksHW4dzHpfpJJSuizczDrE0XmoL7PsBvPRloGmI6eP+a9DrEqyE53H7pk0NnxsAqwjzQ+G5EpDVeHJ5BcvVdXQtIFiSchCA7iyjYLlStWkbGsJ18RaXCONxHA9ing1OBc78COaHVx6XM30c8hNLHp7MVfjRd7/NjTffEmYfLYdt2xXBOnPiGJoQuNXXgv9v13FDXxhA2U+vr4lp8MtoLa2tqkTYSMGyLEquhTQNcnYJLZOp+V2rgeWo1nczociQcB2SscYRLyFcB8aehvFnwClD5zaIpaA4TcWtcOipQ4ycXnT/WHRfCxSshVDhBgShNIf0gFhavTeuC1u3wmfvgdIsE1l1/q9vTyp1RBOkYiaFZbohjx9X5/6hQ4eYGPWHdHvK0uGVy4iYiSzOIG0XUmos2py/QWvr2aDUM1/F2rt3L/l8njNnziz9RQHssrqWAYKstP/4j6Xf53lQKmG7NifnTuJJF1M0JlihgiWMps1erRcR08xxOZ706o7JqUbCSIR+4OBcTJo6ulCGfoDC8CGYOAhGHNbfhN62EdfKQbmxMjg6OkpraytvetObyOVy/PD7D6vX7HoXPfOqHs4n5euTUo4C+H/Xj0+/SJCeR/nQYXKDxyAep/3a62m9+VaIx8i0ZMj6BMurWHDyJDznOXD4MNaX/x/jv/iaMIBP13TlwYIwbDQsEdaJaQCwLRvLkWGQ6Eh+hBNzJ5BSMnTqJNt37uS1r30t33rg6+TzhVovQiWPnB9HdG5EGnEKdoEjTx0NvzxnpSmvuw4SrTB3pmE4IlLC3CkwU+rP5CEozTdsD9eq5sWVSiUSCTXUUzf9G3tV23b4eut0TYYKVtXFkLfz9K5Xp8eZM2eUghUQLL/k6M7PgwS9tRXpSWxnYWhzNcHxPI/77ruPl9xxO84T30We/gHMnabkwKZ1nZw6XjtRPugorCwigos7NTl5ks2vfzXr/+5/qf/rBpoQ4LmheRtQisDcaaSII9btgY23qRt8dmSJiqW5OcgO4xUam0/d2WmkVVLllR//GCYn4eWvgPYtyOIsZnmKhKEvKDw+wZnxo0hu7+ys/8RzZ2DoURj+McycVCQlOxq+p7FkEDOwiGA5DghwhR5GKJi6xEUAxrIKluN5GJpQypfrKnm/ikyIWAzHA8N1oDitSNbMCRLlycYEq5JT7+3UkZobc77iMDE9y8GnHuP2O1dWrwC2bFVp96ePH0UIgVN9bD6p6rn7j9j85teHXrSS/9nVU7BaW1rIF5chWJUKFeGBEOStElpLa83vWg2CwdhacK+xbUxdW3YIOVYRRp9UylLnNthwK7RtgFQ3lOd56MEHePtPvZ3/9lv/rfZ4F4WgVk9vUGPAGqhmpVmkngSEOn9GRtSfHz8DTgWrpDp7E6Yetum3JkwKlcaEIyBYAPu+uU+9dM9WZUEJRmcnlOfxRCo8x0IFq3eD+sGKOl+uvfZaYJlOQquoOh9Hn1L304Bgff3r4XkQwPuTP8HdspmnB7/PdHmGzkQfLWZjd0y1B+tcQzaXwF26wV8uduWsn95zw4pFQ4KlJ/Ckh+Va4USSVMzAxSXpRyEVxk9Apg/6b4JYGj3diysELKNijYyMsH79el784heTTqd56Bv3+C/ZvXIVrLVACPFOIcSjQohHA7nxQsAeHsYrFilu6iax5xriXT3omk5cj5NuSZPL5RCmqRSsj35U3RC+/W1Kd6mbddApgefirfdztUKCtXQOIfg3JgG271MJSktlt4zt2QwNDVMqFti2Yyevf/3rKRYK/PDhb9WoWHLiKFLoiO4tlN0yjufwzBPP0OkvpHMTU5TxoGMAXKuucgIo9coqQvtm6LsO9Bhy8ihC1r9JaqmUKmHk85SLBRIxE8+1Fm7sqBuuXf3zfhdLTYmkjoKVt/Os36BUwKGhIdB0NBkkfvsEa06RP91fyJyq3XK1B+vJJ59kbGyMl95yHeQnkEYGuf4mplr3smnzVk6dPqPIhP/8jbrUZLmM49nMSF/J/Na3AGj70r+A5yFM1UWnOuf8n/Vc9dxmClo2Ilq6lMG2fTN4Tu1nUc6iFc5AcRp56lFFzOrAmxhCaBp673rEgw+qB1/6Umhdj2WkyeRPYQoHUZzCHXoczvwQijM85d/499a76VRyMDsIugld2xUJTHbAzHG8kp/bpBvE4/GlJUKfPDiemjigvtVDN+J4rsANFKw6gbeuJ5VpXVcESwV5GjVfdw0Tw7XV+2EmIdlOMnsCWZiuX8LJT6hSkx5XmwS/TDSZq/Ddb96H67q84MUvq/veLkYy00J7ZzenTp5EE9R6sPzzNfOj75P+5v3wh38ILCVYCx3EMaVgFYsNzd92uYilSzShU7RL4Md/nI2CFYwVEpoqW0vHwdTFQtODYymVOjeurAD5CUWuPFtd920bFhamVBf7Dx3nHW/+z9iWHQYABwhLgP7xVXcONxwDZhXBKfsEy78XBKHMRxRJ8oqzGP4xBAQrE1cRKo2M7sePHycWi9HX18dDDz6kXqrnIEtFXOkyxgSOU0FqmfBn5ufnSaVSmAl/U1mlYEGDTkLXhgmfeAX30+PHIZOBuTkVmRLAcZB/9yH0ySk2fP7L7GzdRU9iPZ5sXKIPCVZuFHcF/9GKcB2QcqGCUnWPbfWzv+ZXGN20EjzpqY11nTmE1QiN7oVJ7IljaNImYaoNeNLvUi9YUt1//PuIYcQh0Y6bHw83iosxOjpKf38/iUSCl73sZex74D6klLiOc1al9QuF83lE40KIfgD/76UaPiCl/KiU8lYp5a3VnQjnE24uhz06it7TRSGt02ou7D4DgpXNZhHxmBpl8YMfwM03wy23hJ0RwdRwpo8jSkO4XR0L43IcG2Hodb0vwjBxfG9B4HcJukcOHFIX8vYdO7jzzjvp6uriW/d9lXLZUjfHySN485OQ7kEkU+StPK7r8tTjT/HSl74UgNxMTkmziTalnMwPh4tOCClh7rQqCaS7wYhB316kK2FuMCQfNcetaQjfh1XOzajd5swJdHvBOLlk4HOdAMJ6HqyCVWBg8wCgCNZiD5aUEnduDr2tLby524EMLhbeR1DlQYC7btgB8VZk+3YqWgoPweZd1zMxPUtx/ARMHgbPQ3ou333wXiqLSipexWKmPMtgaQjXc/Ee+rZ6jWdOw4P3InJD6MVJhGMvELzZQbWYtA+oOXbBDjKeUe9z1v8sXBsmDyESGUTvTjzLL9fc8y9LSqru5AhaSwt6ew/ad7+LvOEGWLcOhKDcuhVdeKQmHiM1d1SV5/QYZId57PRpJoGBRx9Vqe/VLdq5cUVKevdC63owE9BzDRgJ9KlDCLeC7aq5nNm52RoVVNqq/duTEsMvERqai6abuFYRd3pQlfbO/EiR+Co4niIDhqaUP8+TNYuA5XjIWAzTqijzc6oTeq9FT7aSnD+GlV+0AHmeIgzpbui9xn9fD+O5HlP5Cg9//d/p37CR625WnaSU5iA3tvR6CI7PlWzcspWTJ0+gCxFmfUGVajM9hdQ0uPtu+PrXKeYXlQhD9VqVCPPFxib3cjGHYxpkzDakhLwh/M7Ts1OwjDAMVeXOmbq20HU5d0r5LKeOKKIweVhd7/03QbK95rlOj8/w8rf9DslEjLf857cwOjpKzaY3LBEuKFhQneZeh0iWZlUsSyyz8BwBwTp6FPQ4ojQTlpsDgtXilzwbGd2PH9zP1o3reMntt/Dggw8qVdu18YpFxorjjJfOkNddPLngI6se9EyiVSmeUtLV1UVvb+9SBcvz1HvmVKBvr7qfzp5WBOtNb1Ib6K99beH77/kP9PEp3FSC3k9+idTYfmKFYZwGMyzBLxGaAiM/iTN7EqxzNKI7FRh+FMafrmtRaWlrB1aejbkSAsVycYmwq6ur5vsSRgIqecpjT+LMDdE5fwBh5XGlS0ZTr7EY66mJVtCFDuluXM+pUbG8chnr9GmklCHBAvipn/ppJsdGOfT0E3jO1RfT8FXgrf6/3wp85Tz+rlVDOg7W8eNo8TiV/k4ksiatOGEkSGVSZLNZNSyyWIRHHlElQpRfyNCM0FhJJYsuwV7XueDBqpPiHkAYOrbv63K9hZZogENHDwOwc8dODMPgNa95Dd998D6KR/epC704jYx3QqoLLRYjZ+cYOj5EoVDgZS97GUIIstk8lYKvQnRsUcrJ/CJvQX7Cz4YZCHcPmElIr1MKVrF+J6KeTisFKz9PPBbHi8XR58/4Pg5rycDn0Py6jILleCp9fuvGrQghlIKl6+BJRdiki+d3YultbYjiJORGcX2CFTdq5wHee++9POumG+nNqN2QtKzw6wMDKgfpdN5Q7dtjT/H/vvA53vuff5EHv/H1mtcqSwUqlSmYPYE1/CjiWw+Qe/atyGQC/vGjiOIkenGc1OR+nFJW7YZzo9DSj/Tzg2o8eO2bFVHJDqvFzrWhZzdaWw+yZSt86wl41c/BR/53+CNeuYyXm0HvXocGaE89hawya1taCq9tC3q8lWL7Lqy+m6G1H0pzPPXEY/xLOo25fz+86lXQ0QGvfCWU/db1dHetUqIb0LsH6bqk5g6TmD9OJhkjNz6oVLHp42CX1LkdM3FcubAo4tJqTaDNj2LnJyHeonwVi6T+QMHShAg9WNVKpuV6EIthFGZAepDsBE1HrLsOT4/jThyuLbMWp9X5/Vcfgwf2qd1waZa5sePMzs7xnYce5KWvfg2uh1JSJg7A1FH1esYPqE1LFTm3XU8RrMFBNENDanro7xO6jicl5uwMxTe/Ba67Dn7xFzHHxzBME82zlI+x7IfT/q//xZ/edx+FQqH+NAMpscoFHN2gxWwHIGuXiG3bhrFu3ZLvbwTL9YgZ6nMQpol0HAxdw5Pg2hVkbpyS0a5UyvU3wbrrFLkya31BwT2kUCrzfz78bm57wfMBpQiHxxymzC94sNTn6voNLQ0IlhZTxJ9FClalAhMFZDmLKRSxChUsv5O5rtF95gTHjx9j+8Bm7nrujUxOTjJ4aBDbs5mcGSKnVaCcxc60qVgXH9VzCIm3qnPHn3tYr5PQmjikSFj3LkXIOgZgfBLKZbjpJvjJn6z1YX3sH3A6W5n44/fC0UHEY4dI5M6gzQ8ufQ3B+57PkzY89GS7mggycTD0mK4aUvobRkf53WZ971y1B6tdEcu1prkHn0+gXk5MTNDV1YWxyG8cqxQQs6coeR5zxkZlxRh9CmfyMBlDfaaFRR+tJjQw4jiJNrURCpqY5uaw/dF1QYkQ4GWveCW6rvPwA0qpPpuNyYVCs2IaPgd8H9gthBgSQrwduBu4SwhxFLjL//9Fh3X6NJ5lEdu2jZyjboaZWEbduGdOEs+Nk0rozM1MInSphuYWCiHBqriVhfKga4Ndwkh1Ya3rhBNHlSqyTDeeMAwcK2jv92qyT44cOUosFmfjps0gJW+467kUCgXuf/SwujFuejYyswGEhojHyVt5jj2l/ADPfvaz6erqYj5boJzzCVYsrWrc2dGFko3rKPUqnoH0wq5Deh4ylkHEUw3N8VomgyxnKRUKJBJJvI7NaG2blTIwc1zdcKdn4IknwtcKtQRrsYJV8BWw9lQ7/f39voKlg6fGMTieE3YP6m1tkBuGwiTu+CGQnlLS/EVwbm5OxTO88HngAYkWRbD8csmAHzR5ataC3mvBLvKte1Sg675vPaAIkGPB3BnkmcepVCZAgjM8ijY0QvaO23Fe/hK4bx9suA3RsRXDc9DHn1JmTc2EjoGFHWQ1yY6lFamZO6PKX51bId7iz3mswEc/o77vL/4mVArcqXFwLfTejWg/+hHCcfDuuCN8SsfzkG0b0DbciJPoxPaAjFK3nnricb56++0wOwv336/ayu+9F578oboRZ5aOiyKWptyxA90pYVZmaWnJkK1I5c3JjSnP1sRRPNT7HRAsOztCq6hgxbpwO7ZB7x71/KU5ZQ4Oj1epXobme7CEhnDKVU0LHjIWR6/MIqVQKixgmialtu24dkUpMgHy4yAM+Mv/pRSFORsyfeTGTvDI1/8Fy7J49c+8Tg2snjykVLt11ynVrpJThGtsf2hethyPTQPbGB4bxQo+g4CA6TpuuYyRzyE3b1GjsgoFfvEr/4+eZAJv+HEYfwZ56hHMv/sb9LvvZtPUFPFGBMuyqDhlPDNGZ7INhCBbLmJ0daEHZvfyvFo4l5kvajveguk+VLB89XdumM98+eusv+EFFG1PEd9kR92d/r59+zh06BAf/4cPM7C9n3X9iuQ94V/LgGqC8d8LoCaaRej60lKo50F5Hmmo1xMQQKrntg6O4bkepq38UB5+7ISuk4zpFK0q9UdKmD6OnBvi+OkRtl97Ey958YsAeGTfD8jZOcamBslQJqnpWG2dNfM+5+fnaxUsCH17izsJK/lZjp04yVy8HzJ+ZSWWgnE/GHhgk9q4HDwIJ07A8Cm47wFmX/sSim/8WejqIv6Fe7FSfei50frGbc+lWMipEmH3bmjbiFvJwezJpd+7HOZOq3Ola6dSJWcGEbg1FZSgRJhb4zzCoEIxlbM5PplfMocQgOIMYuIgyXiGkmyjMjgKvddDog03N0aiVR1LYVFsRFhyzvSqcmxRKeDBeTc3PU2lUgkVrPaOTm645dl858H78KrCqy8lNKuL8I1Syn4ppSml3Cil/ISUclpK+WIp5U7/7zUWmNcOr1zGmZrCXL8evaUlHMJpaIaS0eeHSJTmSCc0svOziPwo2v796od9glV2ygvlQb+Gb2T6sAYGYGgEpo/VHZMTwjBwLL+d2KMmvffY0aNs2DygAjynj/Oim7fR1tbG7//Rn/HmX3kXf/O3f8vjjz2GMHQ8TVBxKxx88iAtLS3s3r2b7u5u5nMFpN/FAijlBAnDj8Hgd+H091XXUPuiVGvHAQS0rlMXax2pWstkoDRLqVQhEU/gGgKjdb1asApTGK5D11/8H3juc6FQCAlGTYlkUat3QLDSZpqNGzeGHizpumE2jDs/h5ZJI5w8Ak+V/nITpOaOENcXTO73338/ruvyittvRGopEDrSskJ/1bZtWwE4deqUIpf9N/LtHz4OwPce+A849T2lbswOYrsadtdm6N4BzyglZuonX4v9ll+B2Tnlh4q3Um7fjRXvUotg1w4/+8t/vcYiFbN9s1IM093qPUNFNYjHHoMf/QjuehEMnoF//kcA3IkhtJiJ1t6H+OY3kYkErm/IhYCwaOGCajsubrGMbbZx4PAxbrj+Okgm4SUvgfe8R/3QUz8OvU314CQ6yfbcQq73VtJtPSrlvmeXUkDaNyMLs8iZowi3oghWJYc9f4ZEWx8VsxPPddUuNyBwVWndjqs6xPTyLPH5QfTZo4q0TasmDcvxwDQx7AJSS4fqqqlreGYGK9WnyH8lp97v8hwUVeQD2Sy87W1UWrcwJzM8dM+X2bJ5Izfdciv6nF966d6lCEbnNtj0E9C9Uz0+/BjMD2E77oLRfXxMfQZVCpacnVMvpKdHjSP60/exe2KKH+cL8MB+VXL9p68Q+9TnkdtUsG2341ApLE3rl5UKFbeCFs+QiceIaXFyVtX3SQnTx5TaPPJE3QXacdVkgYBgCdNE2o6asOC5uPMj/PjQKebm5sL29kYY9NX3m577XGyh05M06F3XX6NgBWNygoW7Oly4rgerPKeUSL9CoCUTSMdBnjwJ11+vvuf4aRwEMUst/J7nIRAqfTyu1ypYuVHIjjDlJMnlC2zfsYMN193OtTsH+MGD+7BKBcz5cTYnW4l3bqeSztR06daUCM2k8iBW+bByuZy6/wB2dhwPjUJi0UZk3C+1d8fh1a9W//7a1+ATfw+Oy8Sb34CZaYV3vIPkPf+OlxXYwkROHV1qvZg5QaFYItW5Dt2IQ6IVp8U/x/OTSmGdOak2ASOPq/N06Mfq//kJtSEszakKRaYXWvqga6cK3czXft5tHcpoP79WguVXKHJll5mCtSTFHc9TCr2ZJN57HdlSCTxJytChby9e13biPeoaW0ywwpJzvEWR2bnT6jX6qvWwfw4HCpYrJdfedAunjh/Fcd2rzoN1yUFLJEhedx2m/wFZnqVKfcUZtRC0byI+8HwyPRvI5ssIr4T29NPI7m7YunVhcKdv2KSSBSHQE22Utw5AqQynDiNzU+GYgsUQhoEbtLpLWZN2e+L4CTZt3Y45dxJyo5jdA/zdx/+J3Xtv5FsPPcRv//Zv85yf+il+eOBg+HNPPfYUt9xyC5qm0d3dzVyugCiVF57XTKiFP9WlykcdA76foLa7LJT/2/rVTj+7tJNDi5kIp0C54pKIx/F01TlIq1LV9MI0yScOKAn9oYcQsZhKgK+KIZCeV5NUnbfzIckNCJbQNXAc9JPDOM8cxMsXMNrblafHMKF9M5XMZkxrjvTcYdWa7Unuvfde2tvb+InrdiD9m7oiWGpXvHnjBgzDUAQLGJvJcfj4KTZt3MCJU0OcyhvQuQ3Zdz2VVC9k1M1Yf/g7eO0dFHdfi7jrpdDdjfjc5xCaQAfK7Ttg83NDRTDsIo0tOgdiadhwi/I7BedDIoH5hc8j29vh/30Jdm2Du/9MZaVNjaK3d6ibzde/jvfsZ+NVLWKOqxQh038vc2dOsv97X+XJw6epWBbX7xxY+N07d6q/Dx+ur1758DyJ7p+76er0ZyOGbN2IbN8CSNIzz2DYOZyxZ5CaQaJnJ+gxbMsfl2MmFInLT4QLi+NJ4rkhxMQB4pUZXNP3AOYnoDTr+4lsdFy8qjEtAYEoZzapUtP0MXW9Sgnz/gbl1a+GBx+k9LcfZkz08u0f/Jg3vOwOktmTaPkxv0uu6pwXAlrWwYZn+bv+k+jjT7J9k1JuTo+qhgSvSsFiWu0RRV+fOhd/+if578/+CSZjMZL/5Tfhpmej//Xf4bz0Jcz9qTLBrwey00vtp4pgWRhmmpihkTaT5CpVC05hcqEJRWjI0acYGX+qZhRWsHGoIViOja4JzPIUjm0zOKqOeWxsrOFnDnDy5ElisRhdfV1YeoakXWT3tdctKRFWe+ZqPFj+1IaaRoTSrDp23S+ZxxMgUYrPzTdDfz/ewUPYZhumNafebxYiANJxY8Ho7nkqTiTRyrFpteBu374dzCQvedELeeSR/VRO7me9Fie2cS+J1k1UTJDIMHi0pkQIqkxYr5NQSrz8FE68HctbtEQOnlKb53YDUgXYuQO++mX45y8gb72Z4jXbVX7Yr/0aAH1f+AzllgG8SmHBquHaMHUMb36EYqlMuq1rIeamdaO63icPKYU1O6wUZz0GRkLdQ5yKUjbP/Eh9n+Hf4wHMBDK1DtxS7T08oVTEugqWXVbfO34ATn1fEbjFJnOrAGP78ebOgJQ4rrr/LCFYxSn1+jq3kohlKBQLeFISFy4IgZNsI9PqR8AsaqAJS87Shc7tSlmeHQznc476BCtQsFxX0tPXj21bTM/OR12ElwJUN1zQOWZjCn2h86tts29yz5DLF8DQ0PfvR956KwgRlvOCDgkqOTBT6LpJaYM6yeTYLHJuZOni6kMYBq6vYLmeamPVhIbrupweHGRrXytafkQpHJ1bee1P/xR//tHP8PiBYwwPD9Pf08N7/vzPKFpFrIrFM/uf4Sd+4icA6OnpYTaXg1KlduxCyzqlQnRug/ZNS8gVVHUIxeIqmK8wsTQcszCFlohRtmzipomrCXWTNWKQ6UXPT5F8xo9B+LryNIl4fIFgFYtQLNbcpAt2IZzTFRAsLZVSxNVyceMG5ob1GN3dUJxCpLtBaFRiXVjtOzCtLMnsCVwp+eY3v8lLnv8cdM1U5RAU2XH8/KV4zGTjxo3hbn3fPtXe/Z7fez8A93z3KWjbgCSm3j//MzQf/h7Wc28HTcNIxODnfx7+/d+hWMKQnuoGrfYzLTeH0Ewu+N4AbWIC/VvfQr75zdDaCu99Nxw+jvfP/4Qs59B61qsF6dgx5ItehFcqqWwsf8ivoQs0TWCUC+ROHcOTHo89fRCAG7ZWNY1kMtC/TilkyxEsqXxtQkA6k6mJaZC2DbEMdt+1ICXxyaexHTXnrTXVgqabWJa9EJiYWafU0vIcrifRKjlixWHI9FJq30OlYxt071bvyfQJbMchqZUBgRQLY4DCcTmepkqrlbwqtSbaYMw30v/P/wkvfzmt7/8DjvzLp7Fth5993U8TK03gGGm8tkWKbQAjrjYcvXtwbJtr2hSBGTytzpFAHRWaBvNz6t89PaqhIZbiR8kUb917I3Mf+QQ4Du5rX4v1/j9mfvftgCJYuVNPLRls7JTLuJ6DFkujC0EmlqJglZX6FzahpBXBWn8TQ7LM8MgjzIw+HhLWcExOFcFCguk5xAuj2EaKU0NqUVoNwdqyZQu2tCnrLcSEzu6d2zl48CAV//qVjqPO89wYVHLhguh4viVCUtukUZqDRFtoC9CSCbAs1ZG9datSAQ88gxPvwJAWVPI1GUvpuLp+ChVHEWqnAm2bwoiGIBj2rle9lkrFYuapYZLtA2i9W4kbcWQihuPZ4eicmhIhqDKhXQLHCgnWM888A+V5nEoJdyK/VH08dkwde88OdTx33gIPfguODmK97W0AatO+ZQuFl72Svs9/ClekcJKd6pydO6OiUfJjlONqwkIqlVogF0IqJbRzG/TfAJufB+tvVudo37WqmWPDLWrcUKpLzXXs2V1T9pXxdkS6XZUa7TL5isPpgrrnZBcTrNwYDD2iNi1WQa0N5axSzPyUfbIjSkWt5HBnB2HqCLKklLwlBCs3qq7nRDsJI4FrOzjSJhaGQruk0up+n8vXKlg1WYrJdmjpV7+7qI5jpI6C1btO/Xt40u8mLs40jia6CLjqCFY1bM/GzI2rRaB7B2gamtBobWtVUf7zWbTTp5E33ggsDK9MGAk/qC4P8VYMYVDZqFg10yqQTtj1s42ErmM7Dngerqc8XXFhMHP0EFbFYmBDH6J7pzLsoma9BfPy1q9fzx//l//CY08/zT9/+p85dvAYtm1z2223AdDd3c307BzCdiiWzzLvpNo31NqvTtJFw1gpTKC1tlMqWyTMGNLQwhsDrRuInx5DL5bUkNwqghUaTX/6pzFe/nLlaUOVWx3PIWOqHc3GjRvJZrMU43FSt95K7Lprsbf0E9u4EeH4ycu+H8JxHGjpw+vYjFmawpoaZGhoiN1b1iFjrcqnZvglQs8Ly2hbtmwJFayHHnqIlpYWfv5Nb6Knr59v3H8/oBK2LbeCSMRJTsxinhik9Dy1YBqagF/4BSiXMfZ9G93zlmQOScdRk91XsaMSH/2o2tm9+c3qgbf8CmzdhLj7boR00U+Ng3/j5uUvB6mSqoOF39Q15bs5M0gBBxkz2b9/P7qus2dzz8JIEClhYAMMjipC3ACBEd3UBclUpiamIfASeck2Cl0qa81u2wSxNK2xBLppYlWchXFJwQKQn8BxbJLZE+hGDDq3Y0iJK3S16+zcBnYRb26IuMwjEmkVEFmFcFxOplcRq6AMOexHX2zaBJ/4BDIe5yf/4X8zsGULt971BujYQrF9F/YysVAApLvJdt1A2+br6WrNcOrEAYRbqQ2x9UuEeoumFuaOreRyOVItLWT/08/DiRM4f/mXkEhQ7OhBCqEIluUhxw+qHCV/0SqXsri6jmmk0HVFsCzXUwpVflw9f/sWEIJZO89YshVSXVjZYRh/Glw7VGbNwOTuE3qjMIXmlqmk+sNzfXx80bW8CIODg2zdupWKW6EskuhanD0DfTiOw8GDB/2Tw0UUx1WjwMgTGJPHwLFUTMPihha7rAzkyY6Fe0sigRgbQ0gJ27bBnj2IQ4dwYm0q8qM4XUuw/BDgfNlW6lW8BVKdHD9+HCEEW7eqkv+dP/mTGIbBw0+eQbSvR5imukfrGrYhQgWrpkQISsECqGTp6emhp6dHKViFKayihVfysIOycIBjx2D7drVR3XgrvO6N6tpKpSi/4TXAQgL+zNt+BXN2ms1//afYbVsVAZgdVAQktRX7Gz9Ur9PPwQIW1N+2Deo8r3cPEUIRkJ5d6hjiLbVfdxxEtyrDMX2U8WwZMxEnEU8wOlVlci9MKWKV7FCkbdNtiqz136gI29h+Raymj6vf13UdbtcOXNclOX0IbeYYs7OzC3MIrYIiZy3KB5o0kniOi+NZCCcQFVxaW3w1bdHw6eBzDzvRO7eCkUBOnwDpMeZPSgkULMfzQoI1NjWJyA2rhqvRJxdCYS8yrlqCZXs2WHnM4rRSixILF157azsAFT/A07vhBoBQno/rcfUBeg7EMzVho3J0BvQYotBgx2iYqqvJdaCcpTx1lPjkEYYPq5tY7/UvQGvtr/mRloRJrmwjHYefveulPPuWW/jT//mnPP5d5R+qJlhTMzNqfE/27GrtNSGC8Rb1Jze24Buwy1CaQ+veSNmyiMUMMPTwoiCWIn5StXR7b/w5OHIETp5Ei8dV1MWRI/Dgg2iDg8Q++EGQkrxPQqsJFsCwv2gamoEnPbWrL0wqz0RGleFc28XQBKJtM3aii8njT+C6Lv3dHRBrB/zxPpaF7Sy0slcTrG9/+9vcfvvtJOMmz37+i/jWNx/EcRxlQHYrHD9yhu//d9WbUXruHeia8obw7GfD9u0Y//RPpJ96bEmS+3JdpDXI5RAf/zjuXXfh+R4JYnF4939BO3ycxPvuRrzk1XDgAHz4w2g33aTe32IxzFDTBFROnMCQHtPr2pDpJAcOHmb37t3Ek0l1kzzzI7VL3boRTp5e9pA8qfKtYrpOMl1HwUKNyZF6HG39jTj+5xEzTBKxBFZQIgS1OGR6oTCFN3UMzSkpH5RuoEkPL8xf6oR0N2J+iLhXQrT2qIDfKpi6tmB47t6pdrfpbhgeRpompY4MrF/PiV/9r1yfneddL34xQjcQ7ZuRenxVw48dKRDtm9i+ZYATI2Mk8mdqfk7MqWtKjwcxKJ1ks1kyLa3YngoMVZ99jLLQKLa0sgHIGR3I1s3qnjH6FIw9TXl+AtfUiWkJDE3QGk+p2XV20W9CaYF0F2WnzMn5k6RiaZJdO7DaNiiSNvokbn4aozKLWZ6B3JhaYGYHEZNHEWaCactkZmb1JcKtW7diuRbSMyi3bmXPVnUfevJxdZ+R8+NQnFQLaPsmRGkGbeoo7vzwQpp7YIQvzeJJiUy2+00/OsI00QIvmK9giVwOc2oGLdEKpZmaOXe6JkjGdCrzY75vVPnajh8/zsaNG4n7Y6xaWlp47nOfywPf+yGar44EjUi2qeGVylQqFSqVSm2JMJZRpKeg7lvXXnutUrCKU9gyCULDrp6yIKWKaPCVM4SAl7wSurvhjW/E8gM0A4KVe94LGPuFt7H+E3+H+V/frdTa3j0wZMGz76Dt7W/n1SiCVZ0ptlZI10Uk0tCxFbcwS3ZiiJ6WOJlUiqnZeabyFaX0TB5S51nvHlWWDBDP+DEenYo0dW2HURvWbyTxof+L3bkDJ9VHcUR1vYcKVnZUvZ++Qh7X42rmKE5Ish3pkIzHicXi5BcpWKEiGmzQNB26tiMrRciPMzo2RktLCxm/CcTzoKdPnaNjI6egMKbuJU5FEcO15oo1AVcvwcqNw8wpTDOtfElV6OxQJTTv8cOqdXb3bsBXm/S4IhWBMhBvUfEEbS3IlhaVhZXuQXhl5UFYBGEauK5DenI/6ZlnKBXGiad7GZpVu9CNW3dVV5AAaEkYlG2PSrGEpmn89f/3/zE1McU//OU/0NPTw+bNvqG2uxvXdamUHaxCna6VZRDcGMPyXet6tQMdfULtWGdOAKD3bqFSqRCPxUDXwxsDgHlsHM/QsX7lTeqBr39dlQgdF/mP/wiahvOWt2B84xvwkY9QsAtoQiNpqHJQQLACo2no8XAsKM1Aqjs8Psd1/UwljVLrNkZmlZTfv64PqaubhZZKqS7AihWmjm/ZsoWRkRFGRkY4cOAAd955JzFD4yee/5PMz81x8gMfgAceIFcp8d9/4/dx7/sWTiZN8drrw645hIC//mvE3Bybfu3t7Hjz62oCB5dtcqjGhz4E2Sze29+OLC94a0Zf/ArOGAblE6fhT/9UdV39+q+jxWII08QrFEL/jTY+rkJYN/ZTNDVIxjl8/AQ3XH+9IjPpXrVDTbTBnr0wMwtTU42OSBEsTakiiXSGUqmk1EIWCJbn3wg1IcJmClM3SScXESxQBEt6eLlx1VHll6d1qboIQ3Ruw5ESU9MQrT2KlFehtyVO0XLV4mAmfcVZRw4PYfV2MV6aZGpqij8/ehQP+Dm/zT/wp9UbyF3zuj2pPG26YNumzZwcncIsTeFVmcvF3CyeYaBnYuE9I5fL0dLaEqpJ0nbA0LEcj1JXN+uBfLGETPYotaFjAKw85dEDSF0npsXRNUFrIoXnSXKzg2qB6NiCJz2Oz/nlsPYdxPQYdqJVlYc8FzFxgPTcYYzpQzB1FFGeAreC1JK4nTs4fWqBTC9HsHK5HNPT0wwMDFB2yriujpPspnvvnSQTcZ78/oOqxDl7CpHuVH6fjgHYeCt6ohVn/rRqPoEwzd0pTHNs1mH/hI1TsRC6jjAMRDXB8styyeNH0DPdqkTolGu63xKGUGW1eCa0Nhw/flz5r6pwxx13sP/IERz//mBqJgKBHdOQ5dLCmJxqBUvTFGkrTEFunGuvvZZDhw6Ca1Px1D3JLtsLKubUlGqmCAgWqCiEJ5+E//2/wyHZQYSPJwUjH/xLhn71t4h/4mPw9l+Hj38Gbr9dddG2tvLz+CXC4F63xvKWlHJh5FnLOuZIY86fpDcpaW/JUCkWOH1miPLIM8oW07u3fn6UbqiS5ObngJeC//SfIJcjc/ffYB4fwm7dwUReXee9nW2qulCYUPYSXb1+QzPQPIErrYXNmecS0w3iyST5/NIqT7CpDpHqhEQHFKYYOXMyVK9AKVidPb3ous746CAi1QY9e1QciRFTatbcmSW/40Li6iNYUsLMSezxZ8CIYa67YckJ1tGm1AT9qQPILRvwUBdO2SnX+q80HUw1CR0h8DZvUgQr2YFIpOp+uELX0fLjxKwc+ZaN2F27iPXs5vSpcRKpJN2968IhugFaEmqxzmUV43/2c5/Hq3/21VTKFW677bbwhhRItfmSTSV/lt0iwZiLgBike9TNRzNU3lBxGpLtiFQrZdsmHjOR1QoWYBw4SnnbBux1BmxYB1/+AmL2KJTz8OlPw8tfjvPe9+LecQf81m/hPPYoaTMdHn9AsIKZYAF5swt+x0y6eyE/y3ZUppIGaDpDJXVD7B/YGapxWkoRLceyQiPwwMAAnufx2c9+FkARLF3jtufdyRZg+wc+gPGWt3D0//tbBo8PcicwvmcHrljo1gPgp38a69v7mPnV3yB14GnkHXeovDT8MM7lFKxyGX791+H3f19lUz3nOXj+0OepqSnuet3Pcp3jsDORxH7Pe5R/yoeWTuEVirieRMzNwtgIRncXVkcK1/MoeYLhsUn27tql3q/uHUrx6dkNNz9PPcmRIw0OTHmwdCEwdY1kypfy/TKhePBBUi+9i8z73kti8ASGJpQSjPJPpFMpXNuhbFepT/EWiKVx9CTlzGZ0XSClRPO8GoLlajEK6QFESzdapm3JfMaeljjpuM7pmWJN2c4bOkO2rYXffMdvsmHDBj7+b5/lUEcH63+oyi96EFmwwrDoaj/TQH8/wxOT2FJDzCy0zGtTY7itGURLf9jmn81maW1pDZ9f2ha20JESyt29qkQYDHzWdGjfpJooygVMO6tmegpB0jSJS8hNn1RkONnBcG6YolNkW9s24nqcmBZTi3iiDTY8i0LnHio91yM23AIbb0NsvR26dyM7tiGS7Zw6rZRaTdOWJViBJ3Hr1q3krTK6iBEzBG6qh+v2XssTTx9UvhsRR/TsXPAQGnGMtk2qi9A3qUvXRXoeI2NjFPUWipbLifEsnm4okjUygozFYP165cFCESwt7W9qS3Mh2QBIWDO4VhHaNoeP1SNY1+xQpauTfvClEIKEkaASE0hPMuuXSGsIFkDbRvV+zhxnXU8Xc3Pz2C5Ynl9Gd+yFVPxgPM+i38369ZBKYbmqaSosdUlJzNA5854/IPfHH4QvfAF+67fgZS+DJ55g+sUv5meAFl1fqt6cK6qCbhGCEX0DiZhOS36QllQCLz9Jev4wI3nPn+Cx0kZQwFvfCqdPw7/9GzIeY8f//BuEEEzY6v7aa5b83CpXqZtViEkdV9oLmzPpkTBMkskUheLS7tp6I4Nkug8SrYyNDrO+pz2MdfE8iAmH3s4OxmezqnlI09QGrP8mtYZVdelfDFxdBMu1lX9hfgg73QWd24ktrl8DXe1dCCD1zEHkdbuR+RmklJSc0kIGlpVTi4cQIRHwtmxCnDmjZNLOzUrKL80tOoQCRnkGke6hEO/AQ43nOX3iNOu3bFQ3XK2WYKVjBpqAfFadkK4p+PXf+3XaO9p50YteFH5fd7cyTeYqLrJUqomAWAnSdVWKdFC2EUIFla67Xu1iNj1bZUcBFcsiZpqg6zU3Q/2p/RSv34Ob7oIXPR+++wjCraB9537E8DBTb3gVx+eOM/HHv4vs6mLDL7+bjscOKnKXG2d9jyK2gYIVyub5CWVGTrQpMiYUwTJ1EZb+RieUKtO/61mqTKMJRFKRLqdcCVPHt/hZWJ/85CdJpVLceuutCCHo6enij3r78KQkd/1e3vTdH/PPnR3sAQ5v6sdy3CWfi2htofBzP8/373kQqWtY//I59V7aVmOCdfSoirH4+7+H974XvvxltHgcJMyMjvLSl76U44ODvOUtb2Ekm+Xb3/52zY9r6TReqYg1N482dAqjtYXY1q3YsoTrCUZHlGp6XdA1WA1fieXw4QZngSo/9vzh+0jMThNPqu6voEwovvY1KBZJ/fMnuemuZ6O//j/hnTmt1AIhSMXjaB7k7UXn3brrqXSrnbLhjxfSNbFQIkRlYNnJHkTvHqV6ul5NvIcQgi2daSq2x2h2Qe2TZ4b47tGTPPSNh/jld/wKn77nYbb8t99BPP44DA6Gn3tQUm2Eak9bWzqDlJJZrQtZyaoux+wIxvQ4Tlu7IqwoH2CxWKSltaVqNI2D7Zt17b5+X8EqIK2F1yKFiRVvIYaDUZpC1wUx4dJaGCVvl6F7J2WnzFhxjK5kF+2JdkCVnhzPUTt83aRitGAk25QZ3kyAr9pJ2yFmaAydUQrWddddt6wH66SfS7VlYAv5SgVDM8nETaSEG256Fk8ePomX7ES2bQaz1r+nxzK4RgxRVueddBxGJyfJFSusW9fPjt4MxWKF09kKUtfRRkdggz+ep68Pr62d5LHDGIkMGAm88uyCguW5JAvDWFoSmVT3hnw+z/j4+BKCtctX8Y8E0zRQJaqKfxnO+on0SwiWEGrzgaDdUKR+3jFxy2WEAGFXEaxgBmG1glUFy7Uw9YXr3vUkCVOd49l3vVtlp33kI/DVr0JnJ6MveAEZYJMfBbR4EsbZ4vBYjmOj80gpEYZBrmyTd03a+ndCaY6WhEG+WCLWt5u5juuW9WKG+Iu/UMf7l38Jr3sds7//23Q//EM67/t3Cv7Gq7ctoQz1sfRCvpgP3aslWI50MHWDZCq1pEQIimAtIZmehPbNjEzP09/ZCmNPwtRR9NEf0zb1BH3dHYxkS4hYVXiupquGgM5tZ/cmNhlXF8FCKEbbvQvbn8EVJrJXobO9k51ALJ9HPutGZGGOilNGIpWC5bmqNu2Ts9CguGkD+OqLaN+oWmunji5k2HgezsxJpGaitfRje5ZqYdXjDJ4YpH/LRjycJSN2NE2QSRjkswWEoVMRLt193ew/sp93v/vd4feFBKtsQ7kSmvJXg1BWbgQjFip9ZcsiHjPBMBYI1vg42uiYIlgdW+A1Pw/5AtqZLOY3volsbWXkxbdSsUoMpywO/d37MWbn6LvrdXDbTfDJfyA+e5y+vr6QYJmaCa6DU5pWhmn/fZFCQ7oehq6FHtCxUbVDX9ffrzwfpomIxZBInPKCghUQrKeffprnPe95mD4RSpRLvGFujn8DXq0J/knX+YUZtWg83t6iWuoXGU6FYaAhKaVjZJ99E+Jr96jAVn8WXQ0efVSZ1W+4QZ0j//Ef8Od/DqaJSCYplcu84qd+imeeeYbP3f1n/Mkf/RGpVIovfelLNU8TlD0rRw6DYZLevQuhaViySEJPceyIWmD2bNm09DMcGFAljWUUrMwPv0/7R/+O1n/7AulM7YBY8cgjeLfdxtDjBxn59Xcj7r2X1r/43+E1lEya6B7ky4sIlm7iiiD9WyBdF02AU3X7qfijXeK6jvC9Nd4iFastZdKRNhmZK6mSnJSI4WFO2g7v/ZP38sE//2u279oDr32t+oEvfWmBYK2gYAWjZXQ8WvzB5vNuDNdMK5Pv9HFEtoDT2Rueh8H70tbahuOqGXDSk1j+190NG+kFtRBVDUJ2K2XsWAoz3UUyN4jhWcRnj5BAMJ/qQxoJzuTOoAmNTZmFzzHw9gQbJ9uRYekbFAkVpoG0LQxNMHT6NLFYjJtuumlZBSsgWOs3rafiuJhajHRcXdc33HgTMzOzDJdSoBlLhsEbmoGbaAOnAE6ZbK7M+NgobSmTdT3r6M7E2dBikrUkJ6YKiNFRpK9UIwT2rt2kjh/B0DVIdeKV1WQMAOZOY3oVSi0DKkQXOHFCWRUWE6zt/r3vcFWIaUJPUDFUVMO8T7BqPFjhi4hD90460r45vaLhlMokTBWeGs5DPHZMffa+uX4xbM8mpi1c92qclKbOddeDN7wB3vnO8PwZ3r6dUWCD381sCOPsPVhV4a7Zss30XIFTMwVcoTGRU1l1HX2boWs7LR095CwP0bIOd5n5iCG++134vd9TIcW/+ZsAzL/9F8ju2cXWD/4+lTHlle0d2KMqQy39S57ClAYSj6n5IFfOxRAGyVR6SQ4WKB9WNcmUnqeyzCSMTc3QP7BTeRkLU7h6HLttC30btjI+PVM/aLTOuLoLiauLYOkGrH8WtPRhezaaqOqCq0J3RzfP8f8tn/NcsEuU82qxTRgJsPLqhPKzlkJ5d9MGxPw8olxSHT19fijk2FOq3XT+DJ5Txkr3E9N0RbA8ieZpnDp5ig0DG4H6O+3WhEkpX0DGE2EEQ3d7N1rVoh8SrJKF8CSl3FIPWEP4IYKrQblSIdnTDcn4QonQT3wuXr9beXBe/GLQdcQ930L/weO4L7mdigHd8S52du4mffMejt33v3D/+LdhvgDvej/85u+xcX3/ggdL06EwgePaNdKzKwRIiamJsJw6Pj5Ge3s7iUTC98GYyq8kQdgLBGvTpoUF68477wz/3fVvnyNlVfhr4OHHn+Kp33o7fOAD7NN1HnU9yo5ds5ipAzTUzDrXYupFt2MePIz0yUsY03HokDLF33Yb/Ou/wi/9knqvXvWq8Gm0RIJvPfIIjzz2GB/9i7/gruc9l9YNG3j5y1/Ol7/8Zbwq9UXzF39PCuTW7RjxGJ70qLiKYB165jCZTIqeYHBwNQxDlTeWUbDiRw+pv/c9RMonWNlsFqan0Y4cwbvlFqyeXsbe+wfwoheR+P6jodIYj8cwNY18eSmxDwiOoQmk46JpAq9qFE11R5zmE6zFZUKALZ1pXE8yNFuCbBa9VGYY2LF3R7gQmrt2KiL7xS/6jQmsaHIPf7+AVr8kWyrkKbcMqGaWVBdarohbpYAEyl5bWyuuJ3F8Y76FjhBgbN6CBoiZmRo1rlzIAgLRswekhz72BKaVRbTvwNISTBQnmKvMsT69vkYRCYhs4PWx3KoUdx/CNMFxMHWNkaHTbN68mf7+fsbHx+sPy0aVCFOpFK2drVRsj0wsEUY/XOcHggaJ7mLRIqYLHSfRitA03HKWwYl50l6O/t7ecMPWEdfo68gwmbMQw8PIDRvCn6/s3EXymGomItWpOhIredWhnR1GtPThxlrDz+eYryJVEyzr9GlSFYv1fX0cqdo8JIwEUhe4psac7ztcomAFSHfTsU6pYNNzRRzXI5GMg2MvzCk9flx1q/rn52JYrhWSYFjoyDV0ra4HsFip8C9A+/e+p85lTa/1L66ERx9V9oFnngk9hBlTULRcDk2VmM5bdGViGIYOretpbe8kl8+ja2LFDQegVKvubvj4x0Oi4ujw1P94L7GxUW6/72vohkHbwA0qRmJReVC6Lim9hXSincncKMdmjuJ4DprQSKVSFBuVCKtJpm/3mM/nKZXLrN+yXWUObn4OxY5r8Fo30L+un4npqSho9JKAf6LYnl1XvQJob2vn2UA5Hke7WXXoleaUOTOuxXn6xBDzJTtUsIL8DnuTn84dDEiNtyjDXbJD7YLnTuNk+nBiLcTwsL0KAp0zp8/gui59WzbiYVMPLQkDKhVKwgiVqbhee6EHHqxsoYiuGRSyq++ikK7bcLxPNRzHwXEc4p3twAK5DAnWtTvVTaKtTaXf//3fIyyb4k/eBqVZYkInWZlnsyu5Zsed6L//F3D0uNopffkb/IJTWSgRui4Up3FTnUp+9uFKAZ6LoWth2W5sbCw0QKpOLgMRDOy1F8hRPB4Pvy8kWJ5H18f/gdxNt3C4rY0dWzbxS+98K/zBH/Abe6/lzPAYFWehzBhAmIYqddkVpn7yuepBfzaZ5pdreN/7lGL0oQ+pSIG//3sIdvDB8xgGT59Q/o6X3nKzmrlomrz2ta9lZGSER3xvF4AWj2Ou78fdth0jrUqgBbuArguSRprDBw6xY8cAdjEf5g/VYNeuhgqWlJLEMfU18zsPk/Gn3udyudDE791yS7hw8IIXkDh8nPic3/Ch6yQNk0JpKcEKMruEEOA66EJT42fkIoKla6GCVY9gJWM6fa0JxudLWL6Je0zX2LJjC2XbQQgV6cDrXgff/S5iYgJDEyua3IMykCk92jLqXCvmczhmizKn9+7BmJ3Fbe8IfyYgWO1tqixi+wSrIjTihoa2UZF5fWamZlxOyc/1MTO9VDIbMKQL7ZtItW7GciVncmeI63H60rV5ZdUKlpQS2/VCIhQgGPgcMzTGhofYtHkL69atw7Ks0Oi9GEEHoe3ZlB2PtkQqVNH3Xqc6qJ98wg8cXXSP0DVdeemS7diledxyifVJB933VAWm60wmjp7Loc3P4/k5RgCVnddgTk/CzIyaHSo0tHJWxQdoBrofNxCcH0EGVkCwrDNnsEfHMMdG+RTwy1/5Ctx1F7zkJSRP+qnsSbOxB6sK7ZvVhnh6chokJDra0ZBYFf+efOxYw/Kg67m40g0VLNdXXTR/NFQ9QlMoFPg8oFkWfOUrS8nFSnj4YTXP8ctfVl2sQFdCY0tXGguB60n6WhfKZi0tLeSKRTTfRL7spmN8XN3L3vIWCAaZozxU0zfewPzPvokXPPk429o7cKRSHxerRcoLK1jXuY3uZA+z+Ulc6aJrOql0mmIjBavqPQj8tGM+Qe7v71e/R6jX1/Kj7/FLhw/xrFJxzSn15wNXH8HysRzBap2c5KeAwXXdFJNpFWw5P44mNAQmTilLwTPCGrYQKtG8sn0AAK16AdNN5V3q3AqJVqyWLaAbPsGyMLQ4R4+qHVz/pg3IBhdY2tQQlkVR6FQcNQ9xcSkxnU4Tj8eZnJsjYSQo5pYSrB/96Efs2bOHD33oQ9hVu+oVS4Q+yn63WyyuXntYInziCdiyBTo6Fi6Ql70MPA9v+3YKO7dCdpRYYR7yo6q7rHOb8mLoOvzxH8NzbuNXDx1FOzWonjs7ojqBWmpnXblCA88LYxN0TTAxvkCwcBZiElzDBMcOu8kAfmLdOp4di/ETfrwFX/sa5snjjL7tV/na57/A3/7Rb9ParuIHBgYGGD0ziuU5Sz1Yhk+wXIv81k2Ut21C3nuP+lospoZ///u/K0P7b/yGIp0N8MTxI2zo70V6ZYxOtTi96lWvwjCMJWXC2KZNuIl0WLIs2AUMIUhoKQ4+fYDt12zHcS1kHaLD7t1qoVg81gRldUgeP4LUdUQ+zyY/zTybzcJ3voM0DOTNz1JkSRPwfDUQOPPDJ9Rr1nUSpkmxbC1RSxxvYTi0dF00DaRhhDd5y/HQhE+wdB1hGktKhAHarTzaM09ROHBA/d4tmzBjJgWr7IekClUmlFItXJoI51E2QtBBKKSkNa0UrGIhp5LczSQUi2jlEl57e0hcgxJhu/+5Wn7em4VG3NBhvTofY/PzNQSrXMwhDR3DSGKlN6BtvBk6BmiJJ9U8RiSbWjbVNJAA4eJtuzaOv4AHGVgBwoHPmmBs5AybNm1inT88emR0hCcmnmCqVNtFevLkSQYGBijZZSzHoy2RDD+rTEsLW7du5an9T6nnr6NgudJFpnpwPYtYbkSpar5nKihhmTGT+JAqX8uqTrDSjl3qHwcPqkahWAa9NKOaiDq3EYspsm1VEayuri7a29uxhoawR0YxOtox3/Menjs7S3s2iywU4JvfJPEv6rpxutqYz/qfVb0SoY8OPyplyidjRlsrpq5hBzl+yxCssIPQVxyD81r370/1PICFQoEfAO7GjfD5z5+9B8s//7nvvpDA6Z5LOmawd1MXO3ozZOIL9/RMSwu5QgHd/x3L+hI//Wn12f3yL9c87EoXzxPkfuO/EnNdfkVoVJwGx+w4eFKiJxN0JbvYlt6MLnSSRpJ0Kk2xuJRgGaL2PQi628emp4GFkFEAz/FY/zu/xZ2P/JB9QHr3bpWgfwkRrauXYLk2Xf/8JXUj/sY3FvKevvpV4s97Hingi7fcwIg9CWaa8vwYCauEkx1Bt3KUtFTN8+lCp7R3J15/P/oDD9T+MiFUt0r/jcoAaxjEhMSWFoYwQ1l73cBGpKh/suq2RcLUKUidsls1D7Hm1wgVNjo9TbKlA6uQXXLBPvDAAxw6dIjf/M3f5IYbbuBrX/uaWgxXWSJclmDdfHNtDf0VrwDAe8MbqJgZcGxihSlEuktFCFQTRF2Hz34eITQ+nM1RmBqD/BhGuhdnURnXQUBVeKiuwcRiBcvfabuagQgULCnhE5/gX59+mh9YFvE774TPfQ7++q9xN25k+mU/xZ5dO1jX20kypRbNgS0DjA6N4bjW0nKMrqMJ8OwKrgdzL7kD7TvfUWn1pgl/93fqNf7qr674vh44eoydAxspuiV0/0bf0dHBC1/4Qr70pS/VISxeuAjmrBzpWIKpsXFyuSw79u7C9pwwYLEGu3apXe/ppXlYridJHjtK5ZVqxtqmA8p8m81m4eGH8fbuRWRUiU4TAvtZN+Il4iS/90j4GSYNA8cph56q6uMNFEDpOKq0q+uhsmS7Hqax8P6KWBxpLW3SkJ6HMTaCcF1Kj6rf2369Uh4KtkUseI7rr1fl0C99SRHR0VHVtfnJT9Z9/9WYHqWMBh6sYi63sMv3u9O89o6FsoV/Iw8UrKBEWJYacVNTZm4gOT8flgillJTnpjHTLUipFl/hK+FJ00STMVpjrXQkFpSyALqmmkosz6pR/KoRKFiuYzE9OcGGTZvp61NK2NDIELZnk7cW2uOllGHIaLZSwhAmqbgRlt5dKbnxxht5yjdiL1a5wwafZAeepmMWJtFNU2VMsRA8asZixIfUOeetWyglFbf5zRh+mKkXTyMQiqBlesPXF8SSBB2EXrGIPTyC0dNN7JvfRBw7xoO/9Evc6HmMf/GL6l707X1qg5YwyNmWmm9Y1ZG7GCHBmpxEGgbxdApDF4o4z8+rmIbFHYQ+Al9coDIGI5Y0TX1G9dSioETmvv718I1vYM5mz07BeuYZ9ff3v48zrewguuchNEEqGaOnpXaNaGtro2JZuBV1D3c9ieVaHJ45XNsQJSX83/+rmnH8Ts8AtuviSQ1x/fU82tLCm7NzWIs9l8HTuC6elAhfCW/T0tzcezPdyW7S6TSlqhJh2XZ5/PQslqNIXHi/86eJjE1XKVg+UvffS/z4UR7/pbfzs8D0NdfAP/yDMuVfIrh6CZZn0/F/PgFf/rJSWq6/Ht7xDviZn4Ht23lpZydHOnvJOnnKiQSVYpZkdgQ5eRTNsylqtd2HhmbgSg/3RS9G++53G7Jo2/HQDAPddbA9C13EOHjwIO3t7aRbW/EatOl6lQrJmE5WqhJhOA9xEXp6epiamiLV0gGlMgWndpdw8uRJenp6+OpXv4rnebz61a/mH//xH/308dUTLDNmhkNZKRSUr+emmzCEsdAFcuut8PWvI3/1V6kgSMa7EYk2lUBcz3y4dRuP/uLPcTtQ+p13g9AwWtcvIYkuAuEthIdqQjAxoQiWahOXVQqWAbaFUcipBPZ3vAPz+c+Hv/1bmJ2FN70JHnoI6z//GhgGudwcMmaQ8kuSW7dupVQoMjs3vUTBwjQxNA3XsYhpCebuugNh2Rg/fhRh28q78JrXKN/GMiiVSpw4dYadWzdRTGg1i9hrX/tajhw5spCm7cNxZbj4FOwCbfFWDj31GADX3XIjjnTx6ngclusk9CYmMGensZ/7PLjpJtY/+WMAitPT8OijeDfeiND1sNznmDr5m/cS/96PAEU4k2YMz7HVeJNFxxu+f67yYKHpVQqWrCl3afFYTTZY+DxjY2i2jb5lM7mTyvC85TmqPFt2LOIBwQpUrAcfZOPvvZvtz7lBZYr9xV8sfU9Y8DNJ16XNX4SL+Wx4fNInWLKjPSxbTPu76j6/NG9XbDwpsYVOwtTRenuwgXQ+r3yBgDszg13KE1vXX6PqAcRNnf7kdra21l/EQS3glmthOwtdj9VQCpbLqN9BuH7j5lDBGvYVyer5p7Ozs2Sz2ZBgmVqMVEwnEM88T/LcnTt54bFjTP//7P13lGVHdfaPf6rqhBu6b+cwM92Tk6RRGMWRUBaIKBA52SYIY/zaJhhsYzDBxsYJgw22MdjGBl6CLTAgQBKggBIoj9KMRiNNTh2nw+2+4aT6/VHnnBt7JL3rh/H6ynstLUl9wwn3VNVTz372sw8caEkRppYEUuBnehBRiJWvK0iJ75Xj2mRiBisaqqU+y8tHiLJZ2LnTVEe6BVRhWdpbL22TFNQYrHXr1uGPjSGUxOnvR3ziE3DBBWRe/WoAdu3aBZddhvj5z8n6UA7LzIchnbkc+gTsRsJuzUwdBzeD5TrYSuJVvZpFwxIMVmJXUp8ihBqD5TelCCt+yIFxk2FQb34zBAEd3//R02qwomrVbJy0NgDr9NONw/6tNwNg6aU9+DoLZiNQiU2ow0gzW51l3ptnrN4Y+557DOBtYq8Aqr6PROIoyb9msyyrVhE/+H7b4+kgIApCMrH3mfb9NOuSAKwESE0velT8CC9+rhOgmbDF43F6u57BGvzC5/BHV+K9+rVcC3z/V37NXHvC7P0PiOcUwArCiN3jRaYWyqgDB7Gf2msquf793w2D8q//CtdcA3fdxVxPD9WFKpa0mHAUQW4Yd/lZeMNnURw4k0Wnv4FVUMIIFIPLLkV4XqrFaTmHKEI5FkFQRaBR2Fz//e/zvFNPxZ2eI1pigOlKhaytqFoCLwjbMlgQu7lPTZEr9CG8gMVSo+Ho3r17Wbt2LVdddRWPPvoonZ2dbN++3UyEz0CDlQIs166ZjD76qBnwZ5zRUgXClVciCgW80COTG4We1SfUegVv/DX+A+j96rXg9mHZ2Zay3UDTwGCVivNUKxUDsJr6AAbKQpZKOBdcYHxoPvEJw1i++91GgP7978N73kP0G4ZlKi3MgWOnfmerV68GYOzwwVYNllIIIdBhFSUcgvO3EeZzqJ/9DL7+dQPgfud3Gj7TTmi8c+dOoihiw+pRvEImNe8EeMUrXgHQkiYMoghLCSpBBT/y6XA6eOjen5HPd3Da1tPxXdUeYG2MUzLtdFgJi7D5JLjiCroe2U4WKOzaBb5PeNrpYNkECYMV+RS3bUU99AgUi6AUOcdGhBHFSmN6z6QVzXSjE4Cl6gBWGNXYJ0xbFe01phq17+MfO4bq7iYzvIyFsWNMAaetWovWmpLv4dRvEl71KvB9ur/5fzn+qtcbsJsYXTZFEGpz/ChKRe6LC8WUiYjGYpuD3hqDNRGDruXLDIDxPQ9fSBAC15I4tsWU49C5uIgOfKObOnqMwFY4vX1xlVkdwLIklrQJTpC5saWNF3ktfQjTiBt1H4nT7MtG6lKEY+ba6xtGJxWEq1evplitYCuHjKVSBivScM3EBJ8HBt/0RsTv/36tPRF1FdRRQDXXh0VUSw9S1/jctskdOUiUz6M7CynwChH46zbA44+bRVUqRM9qYzuRXHPcJsn3fQ4ePMjaVasIpqawBgYQX/iC+U3//M/ZtNk0Ud+1axdcfjl4Hl0P7KAaVClWq3QVCviHDjWYAtdHNpvFcRxmZo6j3Qx2xhRt+JUqOrFoeIYMVqIttKTxz2tmsObLPjPzC2QyGdRZZ8GWLRT+7gtQrTYabTYfZ/8Bqnv2mt9gft6AoK4urLg1mYw0wlpC+hIDyIViDWAl3TQmy5M1cPelL0EuZ6oHm6IaGJG6Y0m+vrDAVL6D7Bc+3/5kw5Dh//i/rLjqBTA7m3p0AeTzOSqVcgo8Z0vm/kVaxv+u2Z4AHJueJp/N0pnowe6+m8777qb4rt9i+bAB7AfHx8z81rQZ/WXGcwpgSSGYXvCYq5TpuvVu88errjJGag89BJOThnXIZBgcHGRycpLh3DAl4YOWZDLd+NJBK8e0IqybCS1pEfke0cmnGI3Bt77VcOxqtcqDDz6IH2os26bqlVFSsOuhxzh87BiveP4LyIwfx9q/p632JCpXUI6NJwLCKK5mvOkmc8510d/fz+TkJG6+E0tZLMy36i2SHl6O49Dd3c3C/DzoVn1Fu6gHWM0VhJxxRluhprYs/NDHTRrCneA4I6tW81+ADEI4PJ8C14Z7ISSKKN0NHZ82C93w8HCakkgZLGlR2L0T8cQu+MpX4I/+qHZ8KeFlL4O//VucWLS/uDCHlcml+rzE1mH86JFWDZZSCCmQoQ9akct3UzzndNSddxpR+6mnwsUXp+/3Qo+HJls1MA8/bATEWy6/GN1ToOgX09eWL1/Otm3bWgFWaBbn+nZDD95zF1vP3UY+k18aYA0OGi1Yu0rCZGLavBmuuALpeVxqOwzGGsHw1FMRlkqBgR/6LJx3BiKK4Oc/RyiFpUz6u9iU3guiOkuBIMCyYwAc71D9poo44bimPLtuUvaPHkWHIc7oCFlHoY8e5QiwZWiYYGqGIPRNai6Jbdvg+9/n4H2Psv+TnzGVnDMz0JQ6jSJNNYgZrCAkl8mglKK0UEsRRjGYorc3BQcTExM4jkNPd5fR2VSMySjEYElJpt0M3eUyaMNehaUF/IEuMlamkdWDFGBW/aUXWEc5+PV9CJsqW5Pq1UP7DXAaXj5Kd3c3juOkViZ+VGvInZiMrlq9igWvTKeTRUphegMCoR/Q95OfsHf5cv4zDM1zvWYNxH0761u8VJ1uwo6VxuAxiWQ8WhaZwwfxVoyalkKhSQMFkSbYvBl27kzBdL23XnJfvDDiwIEDhGHI6j6jj7QyGfjzPzc9Oi++mJGREXK5HE888YTRBypF510PUA2rptFzdzfyy182TurJnFV/74Sgp6eH2bk5tOPgOA6WrcAPCJ88McDyI984l8dzYlIdK6Vh4cJINxjkVoOISqlENmsa2/PXf421dz9D//yNE+qwdLViUudJevD00+EFL8C5ychcrGhpqUch1gqWYgYriDSL3iKucol0ZOalxUX45jeNpUSh0dNKa00lDJBCEVTLzJdK/Oysc8neeXvtfOoimJtn8IbrEL6POrC/YSx3dOSplEt4QUAQRhQrcbeIUMbnlvy/uRfj09MsG6g9V/qvP0VQ6KL8q28ll3HoLnRz5PAR0x3gfxmsX05IKcyu3/fp+undxnk9SZkIYUpS4xgeHmZsbIzB3CAqkwHPJ2tlG3YilbqGtEoqAr8KUqJf9jK44Qazq4/j7/7u7zjrrLPY+dijWI6N/bVv0HXwCLd89zospbj6rW/FWzGCLi1Qeewxoqb0iK5WsHIZ/LBqDOw8bSaWj32s4X0JgyVzOTIq2yB0D4KAgwcPpgALTGXJfHKeU1NL7u7Sa64DWA36q54eWLmybalx1Yp32/H4OlE57cjICA8l//PYDixptXxfKKB+Cjk+aRa/egYr2ckHlkVhxyNoKQ2YXiJsJZFelXJpAbfQm/49ZbCOHG5JxwBopSAKEChydo6Zc09HTE7CI48Y9qouFXpk4QhBFDBfbWQVtz+8nUw2wxnnXogQskEjA/DqV7+aBx54IAViYaSJNFhKpu2GiseL7Nm9i7O3XWgWYUcS+T5Rs45JiCUrCcWuXYTZHIyuhIsuQlsWV1oWK/fvR59yigFmUqbAwI98Fs4+1dyD229HKIVCkVGCYtPzmwrjMZOmigFwFJnXUgYpDhlr/MLZWbTnEVUq+OPjWP0DyFyOrC3JTx/neDZDd3cPFMuEOmhkdISAl70MOTpqROGJfiNuGpvEXNknjDTdWdtUp95zD19TioX5uZTB0uOxQ3h3TwPAGhwcRAjTHDv0PLx4gc3Ypkn7TD5Pf7xh8g8dIlAC3VPAUU6tGjOOJL3ptRHkB0HA6173Oh578DH8yMcLjJeY1UaDBXBg/36UUvQNLUMIwdDQUIMXVmL1kjBYK1auoOJHFDJGepAMUXXnHXD0KEPvfz8fX7GC569aZZq533ijeT2eAyId4QuFzHQ2VK+mPU4tC+fQQaor4nS576eVdsHpW+HgQcI4hdlcvOMoiR/qtIJwVVcXVl8f8nOfM4D5k5+Mz1myadMmw2B1dsLZZ5O78240muMzx+nu6cFO9DnNOtk4ugsFZueLqJwBmnbGBd9HP/kkDA83dFWoDy/0Gjyw0hShrJkhBw0AK6RcLpGNeyfyohfhvfRFLP/Ml5h5ag9PjNXWjvrQ1aphQxNAc/LJ8KIXYR07SueeJ0y60DJz5ly1MR1aiDVmCzHA8gKfSlhhIDtAh93BeGkcfe21Zt265pqWY4c6JAgjpFDMHTfp8SeveAGR68Lf/33L++V//Ad20cx18sCBBoDVGd/H+YUSs2U/lUCH6b/jFGEscj82OclQX58B4Xv2wHf+i7E3vQ1Z6ERGmsGBAVN9fvLJ5vU28oJfRjynABYYH55KeYHCnfcTXvmCJY3IEoClpGKwawRLC5xINpTbVup2mpawCOPFTF99tRESX399+voPf/hDAL72b1/EXSzS/Xf/wJZ/+b/c9KMbueSccxhYOYru7aOybhQdhITHGysAo0oFO5fFiypoBM6+gyZVccMNNYE+RoM1OztLIAS5TAf+4kKqDzh8+DBhGLJ2bc3dtrOzk2Jcbq7+9E/hkksgNvNrF+V49++4Ts2iYft2OOMMEAJb2DW36eQ+4aMthVONAekJGKxMJsNsXx+eZcFDD7UFWIGWKGrXPD1hFo6GFGHCkEibzh2PmJ1e046sOexqiWro4XbVUhw9PT3kO/JMHjnaqsECIiVQYYjQFnk7z/yZW9BCGMD55jfX7ltQTpmrRb9RF/fII4+wdtNaOt1OOpyOBgYL4JprrqGrq4uPxWA6YX1sKdL2TbfHZoVnnHsBjnSIsi5hFBK1KYVm06a2AEvuepzyug1IS0JHB9WzzuHyMGDN2Bj6/PPj660ZhvqRT5TPIc48k+j22zk+N4eSCkdoFj2vpl/SugFM6CBEWTUGqx0bk7jwe/v2U9r+EOWHH0FIiTNihONC+vQtlqgODhhQEQgCHTSAtCSUFGgN0XAMsJrShNOLpldlV9Y2Brbf/Q6v9zycyfFaC5zJScJsFpHPNaQIk0a3tpL4VQ8fhZKm1ZCtJHMdBQZiFieqekQDPanBcb3wHwyQEKI9g3X06FGuvfZa7rj5DgBKfiUFV5WgwiOTj1AJKjWAdfAgg8PL0DHgGx4eZmJiImVYEquXffv20dXVhZ138YMawEpShJlrvwkdHVhXXsnffvjD3LJvHzOZTApSk+8LooAAozeqr5jUQQDCsL3OwQNURlamf08AR7jNuA7Kn8ftjZoYLFtJ/DBKAdaaZcuxBwfhs5+F17wGtm5N37t582YDsAAuvxzr/u3IxRKzc7OcLSUy/g794x+33GMwFaFzC0XsuM2Wk3HA9xD331/bjLcJL2pycU9E7kKkzG3j5jyiWi6RzdbsZ6p/9eeIIMD5o49yfNGrGZwm99Lz0JEGDTz2GAwMmH9e+EIAeu64xdxvZfHU7FPsntnNwfmDKTNYiOe/xbiicj7eyOWdPMP5YbzQI/j3fzU6swsvbLnGSEf4oca1FFNTJnPSuXYtx696lckO1K9ZUYT1L//M4rqNRN3dyL17mwBW3CWiWGS25GMrQc5RaYowZfGiEKEkY5OTLOvvNzuyT38abJuxX3uHaZemIwb6Bzl27KgBWFF0QjPl/854zgEsW0ns++5DLSwi4gezXQwPDzM9PY3v+wz1jbKuez2i6qUCXyVFC4MV+lU0GnHhhWa3c+21gKnC+tnPfkYmk+H671xLsMtQmMO3/ozDhw/xylhnI7EJXYXMZgiLdZU+YYj2fKxsDi/ysIRTe4D2729I9yRmo9PT02QLPYhyhZJvUkWJC3ILgzU/b1yxb7vNUPqf+ETrDbn9dvjylwnjidVyLDI7dxvDzHvvTQdkwS2g0Q0sTTkog2Njh2aieTpDuOWjo+zt6ICHH8YSFhrdQJsHWhitRxxTE0Yfs2zZslpKIkkRej7ZJ3YRnXfeCY8J4JQXqQJWvjbpCSEYXrGCyWNjQCt1H0rj/g2KrLYJC50svPE1xnYiV6s0PVw8jBSSodwQlbBSo8C15rFHH2P9yevJWBk67A5Kfqnhent6enj/+9/P9773Pe67775aSbYUeKGHK11++tOfks93sP6kU40OJJsh0D56KR3WwYPQ9Jp8YhfldRtTIBRcchmneR65IIBzzwVI29skfQhtacPFFxP+7GcsHxzkJe/6ba77j+s4dvgg5Xh8+KnJaPy7hwHSNu2fTCVTq55Iui7Z00/D3bgBZ/Uq7GXDOOvWGfsLYH7qKINRhFhpNH06gDAKaiL3ukgWuGBZLJCtA1hRpJkpefTkHKMLCwNUnD4aPHaUSMe6uYkJ/N5+lBDo+HybAVboeakHVvK3YlcX3VpDpYKwFGGfSdOYtEwjgyVi7Va7svfJWAowPWGYgwWvmrZhmavOUQ2rLPgL6XN/8OBBlo+sTJ+V4eFhJscn6bANc5DosJIKwulYq9mXM4uwFAJRrZK57nvwyleibZsXXHQxb3zjG9kxO0spBippv9AwIBDK3Ot6gJVU9E5MIMslynUAKwUcZ54FjoO4++742I2/oW2Zje3u3bvJui4r1q9HHjtmmJY6w14wAOvAgQOmQu+yyxBBQMc9DzM3N8dLx8fRmQzBS18Kd95JVGxlibo6OphbWMDKGI2r7bp0PL4Da8dj8PrXt7w/CT9scnGPpycV+2ABqVcVmBRhuVwik60VK4n16xl715vp/ta1dDx4L5Wm56CBjd6xA045xfz3yAiVzSfTddvN6CBg0j9O0StScAqMl8bZM7uHSEepfmkhZpUSpjxv5el2u3GVi9ix0+jX2hAPoQ7xw4iM5aTP47KhIY689V0mbfmGN9R0Vtdfj9y3j2NXv45w02bknj3tGaz5RWZLHt05G8eS6CgG7LHuVgchWkiOjY8z3NcPCwvwb/9G8IY34sd9e6WOGBwY5OiRI2kD8f8pacLnJMDq+OmtaKVQz79yyfclwtCJiQlELodAEJXLaXm8a8mGAaCEQgTGbI5Mxghsr78eFhe55ZZbCIKAv/yrv6JaKfPY9/4LgOzCIhcAV7/xjQAIFFpHiI4OooViuvNIqqnsbAYvqqBwTE+7JG64If3PBGCZSsI+qFTTgZSkA+oBVqFQYKFYROzbhxgfN+1UvvKVRo3Orl3GcuGtb+WSN7yBnwGX/sXfs+riq01K8a/+ypTAA51OJ0ooZqoz6cfLQRk322nKr+GEDBaYNOFjShkGK+kyX6frCkSt5QoYgOVmshQKBTOhK5mCOGf7A8jAJzr77BMeE0CVF/AymdQ4Nonlo6NMHxtv24g1lGCFEVpLZBDiKpcjf/IB43sVR9ErMludZVl+GV2uWWATFmt8fJzj08fZdPImLGnRGXcHSLRVSbznPe+hr6+Pj370ozVXdCWphlVcZQDWudvOR1o2EguUJLDV0lYNQHVXnW6iWEQdPkx53caa/uayy9KXE4AaxqyljDVYtrLhoouww5Aru7up+h6f/9y/8dYrL+cb/2k2GPXpEohNbZVZjINIpzv1ZvZJZjJYPT3YQ0M4K1di9dSYxSdvvxWA3OZTjH+bH6FF0JIygxqw8xMGq06kPVf2CUJNX9wmhcd3IeKKpZHY3DCMYoDV129SZ3HpeD3AUkQEfoAXVxAm11vuMelmPTmBNTSEH4N0RzktGqzkHjRbXEANYE3FPTeLVVP0ArVnqezHHSQEHDh0iJHRlSl4HRoaYmpiCle5uMpNAVaiyZytLOCoDPlYwyWloOfOW5CzM/DGN5oqY0vx6U9/mqNAKRZ9J2xTJQhAKWwpGxisJGVFPPdURlcTRBE6CGsbhWwGzjorZbCaU4QJs/nUrl2sXrECZ/kyk4IHo3Osi82bN6O1Nt6Cz3se2DaFnz1AdWaWCw4cQLzmNcg3vxlRLuN/5zuN5wp0d3Qwv7CAHTPgjuswcMP3TKXjm97U8rtAzOxEfgODlbDMSRWhuRU1RtcPIyrlMplsbROmpOLYu99KdXiYNZ/4EBWv8dxS412tzZycACxg/pLLyd37c8pz04xVJ+nL9LGpdxOjnaPMVGfYPbObXIc51kKxiKUERW+BnJVDSVOsM+j2oaZn8PpbLULAsEp+qMlYVlrgMTw8RGnzKQSf/yejy3vnO835ffrThEPDzFx8OdHJJyOeeqrBdqXQaQDW2MwsfqjpyjpxMUBSXBGPgTBgoVphsVRi2UA/+mc/g3IZ/5WvAszYllozMDDE8ekpKitXmvz2/wKsX07YStB7xx0snnUq4gSmcwnAGhsbQzqOEfeWSkasKwUZWzWmCKUFfkAURWZCec1rjJj2hhu48cYb6ezs5K1vfwdnnvc8xu64jchSeMA7+vpZsWqVaZmDhZQQdWTRQUi0aBiGRPQusxki7WNJ1wCs4WEjSF4CYNn5Dlxhs7BgqNt9+/YhpWxoF9PZ2WnaJ9xnSu259loDED/+cfP/lYrZmWSzcNNN7Hjta5HA4AOPMPs7v27Sib/3e2n7CCkk3W43s9XZFCBWggqZXM3W4unE9CMjI9xTqcDsLPYRw07VpwkDLU0KI57EJifG6BsYRGvSPoRJ5H9+F1oIojPOOOExI89DehUqGbdWHRnH8pFRpo6Np6nW+ggVyCgCJNr3ca0MZdH4vkPFQ9jSZig3hMIlinTKKj4SLxRbTt1iztc27FkzwCoUCvz+7/8+N954I3fddWdyJ0yftek5du7cyfMuvgQwTCiALxtF4um1bjTeQ+Pbb69NZHFapby+BrDE+duoKouDQBQDiSgGWMYdPTAMVsxevm7ZMn7+jf/gO9/6R9adtJkPf+B3mZ+fTxebeh8slIWSkuu/9x2ejBfrdhq3peJQvBgXTj3TiHpDEEt5yCULXGeXebbrGKz69CCAuMewKBWlWBUDrVBr5NQkft8ASkrTH03rBoDl6NCARVQDi1YdjC0JLAt7xQqqYdXcMy2INC0Ay7XUCQHWxMQEQRhRCTyyjvktkmelFJhnKgCOjI2xcmiIILaHGBwa5PjUcSwsMpZpt1XvgTVXXSCjcg0sYv/3/4uwrw+e/3wDlJRieHiYhc5O8omsIH4eqoGPdhxjvFunf9FBgKhW4WtfM/d15WoDWAO/8bm44ALUg9sRnt8qco/Pac++fawbGTH9OB991CykCWMRx6Y4jbdr1y7DIG/bRtddD3DF3Dw5z4O3vQ35wheihUDcdRfVPXsaKlW783nmF4spqJOBT9/tN7Nw1dVLGgU3WzSAmZqEMEA1ea6TlGg1iNAaKuUSbqbGYFnCIsrn2P/Od9Lx6EOEjzcWoiQAS0xMIObnGwDW7MWXIz2P4s9vxnayrCwYpnA4P8yarjUUvSKL0gDx+fl5BFD0FtP5BmCgJBFaM9/d3gIo1CFBFOHaNYC1Iq6gLb3514we+N//HX7lV+DWW6m86c1o1yU6+RTEzAx6cirdFCd+ZJPHzXPUnbOxlSSKGlOEOgwZi1OPw3398NOfglJUz7vA/D4ShNYMDcWVstPTphDhfwHWLyfcmWm6du6idHlrjrk+6gEWgMxm0eVyXL0lydiSqh82Vr6EIZEShj25+GIYGEB/97vceOONXH755UjL5jW/9ussXygy0ZHnZuDFYQhax+kCCykEUd6UKEcLhsJOGCzPjgctcYpwwwbDLN12m6n+oNYupyZ0z1CerwGslStXpg2OoSZyV/feh96wwXhXvec9ppLk0UdNq5eHHzYD54or2P6yl7EN+Ow3/pmJj3zQaI2aojvTTRAFFP0iYRQalqUOYPE0KcJTTjmFO+PrcR41LEsyiUWRJgSUEqmYdmpigr6BIUIdA4rEZDTSdNxzF/7GTUSZTOuB6iKan0dJjZ/J0Dwslq9YSXlhkanpqZbPhcKY++lIEVU9slaGQJEuYEcXjrLoL7KiYwVaC3YcWaTsyXRRTADWaaeZliSWtMjZOYpea/rit37rtxgcHOSTn/hjAALMjvC+2Ojz0ksuNdeiFQJBIHXLDh3AX7caLQT2Q49wbDEWfMcVhKX1G0nWfCeX5WfnPY9/AMZiUBLG6RtZlyLUvb3sFIKzSyWEZbF6xQr+6K/+mKnJcf7ww39UY7DqqgiFpYiCgPe962187tN/k7q4P9OYjZ8La/1mhFJEnkbKqK0NRrJYBlrD8uUpwKqlB22THgTkvfeiBwd5fGiIdbHTdBSBmJwk6OtHWaYB8OLiIuVyOQVYVhSYSkFlNVQyhkOGNfOOHkUIk9K1ld1Qxl8friXxgqih4gxqAGt8bBw/giDyyNoKP/RTwXribzWhNVEUscJ1ETsepfTUHvoH+4miiOJskazKUg7KjI+PUy6XGVk5QsWvkndyNQZwYYGem25k4eWvgthbK+n0EAwMkA2CtIhHCUU1CMBxcbJuLfU2M4P67OdwX/AC+Pu/x7/q5ZTXbyLQoiFFaCkB55+PqFbJPfZEjelOfz+J1poDBw+yZmTEbGAffdRohbKNYGDDhg0IIWo6rMsuI/vI4/yO1sz29MCll0JvL2LrVqzHHiOcncPbtx8wzFIhm6W4sJBuBsT116PKZaZe2569Alh4+CHE+FRjH8K69G+aco/nqwRAV8sl3LrzT8Dq0QsMeLBuaRTiR9UqCJBJQ+s6gDWz9TzCbJb8/Q+zunddwyaxP9tPj9tDxTLPR7FYJMIjiAI6nJpoX02Z9HO1r71W1Q9DwlCTtW0mJibIZrP0dnXG1xQagPXWtxqLmo4OFq96hSmAOdmcp9y3L93w5RMz39IinRkLW5mqWx1vPNIUYRimLu5D/f2I22+Hs84ijNOdlpQQhSnASoXu/wuwfjmRv/1WhNYsXH7JCd/XDLBENhunCI0GK2MrIg33P7idL33pS4RBSFj1OVSsmIdNKXje8/B+9jMOHDjAi170IoIw4sIrXsQplsXds/N8DxiYnYFdu8yAFHH/PEsiMy5hvEuMKlWEbePpAEsJLBEzWBs3GoDleQbZU2OwJicnEdksGTtLUFrECz327t3bkB4Ew4yUi0XU9gdNg2YwjFRXl9Ec/N3fGc+olxl376SK0HIshGj/+HQ5XQgEs5XZdNLPxtoOIUVbDdaxuTLzFTP4rrrqKh4FtBBYj5qBkjBYQaRBKjOwErHx+JgBWJFG+0HqAxOUy3Q+9ADeOee2dQWvj7BYRFiSKOOmu6gklo2sBmDv/lbxf6jMIFKRIKhWjX2GbTFRmmDn9E6OLByh2+2mP9vPYjUk0iB1Jk3rPPTwQwwuG2T5YM1Ar9PuZMFbaAEL+XyeD33oQ9x1x23cffst6HgSuvvOu+no6GDbuWcjBUwWqyYFtQTACrIusy+4kIFvfJ9jk3sNm/b442jbprJyTbogOEqy/Zrf5K+Avfv2IZQkihc/JWrtpqanp/mJ1mw8fBh17z3ICM7bdgavfNNb+ad//Ace3L4dwKSPbrsN9x3vQOzezfTEMcIwZNfjOxpc3J8uwigk2LsfgNLAML5QRpwes2rNUVvgGgHWfCVJD8aecloj772X6JxzGB8eZp3vI6pVwihCTU0S9vcjLQsdRekOvgaw4h23ZZGpL5OP3dz92Dk/0cwl4KJ5KCTgrLmSMDne+Pg4OlAEkW86O8TPUcExXnNhFHIkTguvOftsdEcHlfEJensM+zIzNYNruWg0u/cYHeey0WV4oaZQt9jyve8hK2XmX/na+KbXyv9l0qw51mMqqSgHMYtTKBAtxOzra1+L/fl/JDrnHLjnHoJv/RdYFoFU6CDAj+pAZlxE0XH/o7XimThsJZmaGKNcqbB21DAzPPpoS3oQIJfLsWrVKmPVAHD55Ygo4jzgyQsvrN3wyy9H3n8/dm8PweQk3oEDaM+jq6ODKIqoxuBaff3rVEdXMXfK6S3HAiM89xbnoVJtaL2WdDsw1xc/f2HCYJlnpVqp4GZy6TiXQhJGUBxZTmV0Fe5Pb2k5lsxmEUkRUszeBWFE5LjMnXYSXY/voSPX3XKeg/lBkKaIqLiwgBeVCCPdwGAl3Qoqve0BVjkGRxnLYnx8nMHBwZRd9IKYsvviF+Ftb4M/+zOCbNasgzEQrBe652J9aqVUojtn7lta5KJFTYNaB7BWdHTAAw/AZZel40cIjQ4jhuP0/5FEh/Xkkw2+W7+seM4BrMwtN1HpLlA9rXVw1kfSXiJlsHI5U91XqaCkSCfRj370o1xzzTWcv/V8fnLzzzheDTg4HYuHzzgDZ/9+8sALX/hC44EFrIkidgFPrDWeKvq730VrsISNjBcu2WkmKq01ulJGZlwWg0VTmj1fMc04N2wwfi+5XJom7Is9YqamTHfxbEc3olxh0V9s8MBKorOzk7OiCFEqIa6MNWk9PfD+9xtW4/TT4S//Mn1/zcndQej2qT4lFV1uF8crx9NqpWw+ptfbpAe11hyYLnFs1nz3qlWrWH/66Rx2XaxHHkNQ83sKogikRApMRQ0wPj5G/8Ag1steivrHf6gJ3O++F1mtEJ5/Ptr327IbSUTFIrKQNf3QwsYd9IoYYCWeQfURSI2lFFJr/EqVTKYDIRVji2P4kc+67nVs6DG76sVYU2HLLH7k44c+Dz/yMOs2r0uNTQE6nA40uqXaEOA3fuM3WLtuAx9776/zyKPGtuHO2+/kwgsvJJ91Ge7KMLVQRUcWHmGD4Dg95yhg/DfejDU9w9C3f8y+uX3oxx/HX7s+bZINhqVaucpc+979+xuMQYnTcba02b9/Px8HFkZGsN/9bjof240QEb/34Y/T3dvH7733d4iiCOVV4ZprUI88gvW61+HfYXRUTz6xC7tNheZSMVeaIzsxjacUQXcPlQh0pLBjLUxzNJTJ1wGs5vQgTz2FmJoiOudcZkZHsYHMnt2EM7MI3yfsHwBlwEELwEp6O1p2A4PlDA5SAnTcwNyLPAN+o6UYrDjl1lRJmDBYpVKJhYUqIT6uVWNC+7NmY1UOyhw4cACAtSefhO7tJ4w0vd1m0Tw+cTx91p7cY3ScAyMDhKGm4NYttl//Ot6KEUpnnWtSopFOU/vZ2AuqGjMplrDwAtNo2+nqNNWSi4twxx34b3oT4b/+K5x7brqAhrFOKww1ItZTsnw54coROu5/BNm0LNlKcPTQfnNNq1cZtn7PnrYAC5oqCbdtI3QdImAsmd8gNSJ1DhzAHh7CHxvH27ePQkciBJ+FHTsQ993Hwotfil9tv1ibTXeICMIGBqveRFbElYTJ2El+20oscm9oRK4FkQ6Zv/BS8j+7owEk6GoVmcmg9u9D9/WltkLJ5+dO24yz9wCije6y4BRMD8B8lvlikWq4CEgyqo7Zj5/pck9n27myGs8lGcvm8OHDjIyMIKXAsUQtrW3bxqj03e+OpQAKuXwY3dOD3Lc33egmDFalUqYnZ+5b0i9Wa5lKF3QQMh4DrJGxMdMh49JLa+xnfG7LlhvQnzJYQWB6R/6S47kFsKII5+abOHreWSDbO6En4bouPT09DSlCgKBUxpIinUR37tjBmWeeibIUH/nY3/B7H/0QT+w7xEI1gK1bEVrz0tFR060+jMgcPoAVRRzIuFz8lrexcOoZ8L3rYp8gkyIMogDV2YH2A3S5bBisTIa56hwFpxM3prTZsMFoSi67LLVrcByHQqHAVCzQzRV6oVxlcm6S8fHxtgDrBWB8oi69tPbCe98L73ufMUytS6/V+2DB0otiT6YHP/KZLpvBkc0mDFbrI5doEhbqJrFXvOIV3FOpoLdvpzfTy1R5KhVZImVKDZfLZeZmZzlNCKwf/wj7C19Axj3qxO23oYVAP+95oGmrRwKzM4zKFWSnGfShbryuwXjwJgtXfQQCbGnSRoHnIW2X4fwww7lhtvRvoTdT89QqxQBLYe7nTGmGJx5/gvUnrydr1VIFnXZ7oTuYHeiX/uO7ZHM5Xv/y17PjgR3s3LmTS+Pfbnl3NjbUDfGkWRjrfYnAAPji+VuJtm5l+T//ByVvgfCxR/A3bGzRBI2uXIUQgn0HDiAsK01tJS2dLGmxb98+ZoHD//Iv0NfHyg/8MWrnLtauGOS3P/jHPHj/fVz3H1/B+vSnEHv2UP2DP4CODi7/6AfZhqlqmh5v9KY6UTz06EMsizSVPtOSpegbbx5H0BZgKSlMxWKoDaN09Chaa2YWG9OD3HYbAHrbeSzEVibOo9vTNjlRf78BGW0YLBUFxp7DslKQBKbs/wggjh41thY6Sj2wknOrj0S/VW1qxj1ZZyg8PTGLUqEB7f4iOTuXMhH1AGvN6tVoyyYII7q7DTs1PTmdttnaG7ca6hnuQeCQTaQD8/Pwk58w/7KrCamrCoxT712xY/pU3J9QCkklNKX2Kk7dRA8+CJ5HuHlzCswsZTZGgVCxTUPUYM3hnXcOHQ882lJFKIRgLAZY61avNukfrU8IsJ544gmiKALXZeLcs/keINaurr3pwgvN9dxyC/bKlVgDA4Rz83TkzH1cnJ+Hf/kXtG1TvvJFRL7ftmG4AVg+ItQNablmj7P6hs/VwHQtMFWEudSmBEBrY9TsX345amGB4Od3116rVhGua1JtGzakf/fDiEhHFLdsQkQR4sEH296XwdwguXyWuYUinl/EVbnGgoL4mfb7e9oywQlLmXNsDh06lGp5HaVaLCUAoiAAqVCxVq6ewUoAVlAtk48bUicsttaqVlAUhUzOzGDbNoXHdxoPtgsvrI2fGIgVCgXyHZ01gAX/I9KEzy2AdewYWIqj286i0aqyfdSb88lslkhrdMX4z7iWpFpe5OCB/Vx99dU8+OB23v6W17Nz507e/auv5IFd+6jEE9Fr4h1fEGqy+01583u+9o/85rvfx/HnvxjuvYfo2DGkMA+jH/rI2LMknJ01zVsdi0V/kYLbhbU3RuZJ25MXv9iIzWPEnvQjBLByeTKhZPdus6Or98ACA7CeD5TXr2/UU3V2Gr+Rpt5biQ+W7Tht72HFD5kteWm13Lw3T9bKIi3LMEttGKxk9+MFOrW+eMUrXsF2QO3fz0BgnIanK9MEYYSWMq0iTH6fiw4dQCuFXrYM63d/F+bmUHfcTmnTyVgxfay99gArjFMaVsHQ1s0pwo6uXjLZDIcOHGr5bCA1jrIQYUhQriIch5HOEUYLoy1i+cXYB0xoA+4f2fkIvu+z6eRNDekFW9m4ym0xHE1iaMUI//S1/yIIAt71GtPiJwFYtpIs68qwWBEsBD6a1jRhEAXGTft334fa/SQjN92P2neAyoaa/iqJ7s48g8PL2HfwoDEwDBOAFabnmjB7I+ecg/fVr6Idh1Wv/XV69uziRVe/lk2nnMYj3/gy8s//nOhVryJ45auIfvhDipkMPwa2Afue3NX2WtvFrsd3sQKQo6MoKZjzQQqFrXVbgAVG5+NHkWGwFhaYHz+OH2p683UbrdtuQ/f1oddvIFy7lgrgPvZwDWANDMYMVtgKsEKjUXJs2bCwdncXOArI8fG0BdKJAFaScmnHYFkxwJkaP46SZlFd8BfosDtMiT3GF+3AgQMMDw/Tkc+CbRNq6OowoH5ifAJbGZPgp556ioGBAbQDFtlaFecNN4DvU3zxVWbOqzMLBRiMC0bmY5ZISYUX+MasN5dDSAH3mU1OtGFjavoLseWCMKDN9GKsKwg4dyvO0Qnk4VqVZxLHDh1AScWqlStNehBOCLBKpZJZbIHb3/c7vBro6OygWPHZfnAGP5c31iO33IIQAmfNaqz+Pjrjqs/S9KSppn7FK5B9PeD7be0zolIZPwpSC5ok6lOEYNiZmsg9xFGC0uIi2Vwu7StpPmcYLHHFFaY458fGMT/xwBKOg9i7l6jOUd4PNZEOWTx5gwH5997b9r70ZfrId+SZLs7i+yUc0SRmn5hAS0nQU8CLWiUVVd/MG46UHD58OAVYrt1a+aqjiDCMTLW+FHDKKQYYNjFYPU7t2tMimMjIALQ26b+p48cZHBxEPfgg+owzoKMjtUtKNo/KthhattykCDdvNunK/wVY/82xYgXFp3ax58XPR+in77uXmI2C8VWKlEJUKljSNDk+EoOlU045BU8rXvL8S/j83/8NY0cP87bXXMW/33Yn08C2uMLOjyLy8WdyW7diW4qZK16E0BoVm5I6yjYpQtdFODZBvHNdEEbI2ut2Ye+NG48mg+zFLzb/jtOESbscMKlNV7nsizUJzQxWr2WxDZjZsuUZ3cJyuYxl20ilWsSoAOPzFZ4YK2JLm4JjQGJCQ8uM27aCsH7iSpoEb926laMxBd75xH5yVo7J0mSswZIoCUQRx2IdyBk7Hsa/6BKqf/IJGBuD3/xNrHvuZv7cC7Cz5v5rr7UFEZj0oJACnXdRShDUTZZRpNEIhkdWcOhgK8AKhSZr2RAGlEuVtFVJy/siTdkPEcJMolmV5aGHHwJqFYT14Sq37SQHBqhv2nwyn//m57Esi3w+z5lnnpm+vqwrQ9ZymSwHBJHfkiZMQIh6/RtgZIShj/wlIoqYX7uyYVEAyLuKZSOr2HvwYJoiVFLga/MdSYqwp6eHrq4uxNq1jP31n0AYYW87j3X/9g+cfMppvPfJXWBZ6MRjbc0aPnrpFUwKwdeAg48+1PZa28XExAQrAHv1KnKOohQaobWto4adt9aaIwtH8EMfJaUBNXGz2PIBo4kqZKzkzXDbbYRbtyJsi0JvLzuA3BOPI5I2OQODCNtBe14KsJKiEhUFYNsN7BVAV8EALGdqOhWju8ptqaxMwqRcWhesycnJtEJuevw4thIUvSKRjsjbeYQQZK0spaDE/v37WbVqlQFrlkUQaWwF2Vw2nc9saXPOd37AzTqi7FXJqFzt3L/7XRgcxDv73EaAFY/dlVu2UAIqDSnCEDu2R5H5PGzfjs7l0CtXpqa/ELuyEzNYYWMvxsq55hlO/LDq48ih/QwPDmJnswZg5XLQtFlMIrlPjz32GACLCyU0kC/kWagGVPyIkhcazel998HcnPEgW7eOrtPOAKDnB9+H48cR73oXlmtxdP5JHp58tKFPKBBXlvvYUePv2OxxpqSo02BFiND02XQzuQa9ndaSUId0Lhtk8dQzEDcZgJV4YInJScTiIlHdPB6EkbGx6cgSrF6F+PnP294XJRVdhS6KiwvIKMSR+cY3TEygB/pByrS3Yn1UAh9HGZNRz/NYudLo4RwlWxmsIEBHmHVCCMSWLYj5eXScnk9ThOWaF1+yuYjie5DMWxPHj7Oqrw+5cyf6PGNKm/RDTSrJpaUYHF5uQHUuZ+yG/hdg/feHFiHYCpbQD9VHPcAC0JksolJOB87BPWYHd8oppzA3X0YJxUUXncMPvv8Djh0+yG+969d5WAiWx2AnCDXunt34PV1khlagpKC06WSiVauxfnAdAK5yagtgoUAUN80tCg9LWnS4HWT27UGPjtYqaNauNenCr34Vrr2Wi6VExg+yyOWwlc3BPa0eWAAj+/ZhAWMx2/Z0sVgu4zjJrr/18QniNi5BGNHtdgOQtc152itXYceDsj6qfmSqIwUmtYpJC6yITQS9e+9lIDdAKSgxVy3WpQgjxsbGOAvonpygfNXLibZsQb///fCNbyBLJYrnXYCdzSCUxNu3D+/w4ZZUYThfRHZ2EhLhKrthwkvMAZePrODoodZGwb7U2JaFo0OqFQ/pOC3vAZMe1BoKGRutwVE5djy2A8u2OGnzSS3vt5XddpJL7rGlBBtO28B/3vCffOc732moDLWUZKSnk4VAM1+ptGWwbGkbvcR73oOMgePkyqEWRmXOP0b/iiH2HTqcpghVnZjcljb79u1LWwoJKYnWrOGxm/8v+qqXMfhnH+cfbr6RF/o+5Q9+EB1rG4WUPDo9xR+v28ha4Kxv/2fba20Xk+MGYDmr1xjPKaVQQuHEDaiTWPQXObpwlOnKtBHAhzWA5R86QtZRtaq5Awfg0CHC088Aqejq6uIRoGvvk2nqRA8OIl0H7fuMj49TKBTIJOlzP8DKOKn5ZxI9XQZg5WZn8AIzlh3pNBhRNkc7s9GJiQlOjRmb+eOzuLbkeMVUByfmoVnLVAcmv4cQAtuShMoi9Kv0D/an89nuh3Zz9WKJU6emyf9su7FosKTpQPHDH8LLX460Ys1dU4pweNkyjgmRLpZSSKphkFaByo4OxM6dRtysVMOmylbSFCUEIWEYNVx/9ZRNRFm3sV1XtQqVCof27WVkaJlhwR99NP3udnHWWWfR09PDP/zDPwCwWDRaxmxHNgUC1SA0OqwogjvuSD+b7+xCAOu/913TneLyy5kOjuNXFyh5FXbP7G4wCa4uzuFFPpaQKRCFJEVYO6fE801r4/sW+eZZyOYaU4RRJBEiIudYzD7vUqz7DQBMLBoSJ/ooHm8AfmQYLBVGBKefCj//ec3ptCl6u3pZLJWxoghbZBu1VhMTiJiRTTYD9VENAlzL4tAhM1+kKUJLxu2uGlskhVojE3AdC91FXK2cyWRMiruu00TSyk5rSRAF6f2cnJ7mUttGhCHR+QZgJRq3lMFSkoGhYcNgAZx00v8CrF9GBDowg/r/AWBFbgYqFax4l7/vySdwHJd169YxVyyRdSy0rbj88sv4xre/g+24TK1chdqxA3zToNXdu5vqupXkrJzRfgiB//znY/3sLqOhUnY6gGWsZ9Bo5kWFLqcLR0ky+/c25OABeOMb4f774XWv469+/nNu3LEDvvhFpOPguDmOHjhCNptNxfvpNT76KCXgSJ03Vnqv2mgOSuUKdtwnDt36+CTl5UGk6c30NjBZqiOPatPLqxqEOJYk71pp00+AS970JqaBYzfeSF+mDykkE6WJdFekYwbr9UBkWSxc/gLzwT/8Q2M3AZTOuwBp22ROOglVKOAfOUr54Yep7tmDf+QIwdQUUamE7OgkjEJyjk3Za5woAUZXjnL00NEW8WcgjL1GJjD94cSSAMt8Z28+EXRm2Lt7L6NrRinkWqt2XOXiR+2F+UEYIQiJdMSZW8/kBS94Qct7Rro6UY7F1EKpBWClDuwA73gHdHSgheDYSG8DJ1kNq8z7U/QsH2BsapJKXFqvYpNRgcCSVuqlBIBlmX6UPV343/w60Ve+Sk+pxEPAziuuaGjGfeTQQY5uPplvDS/nJU/sgjbMRbuoHDpCBhCjo+QcFXtqCWxaARYYfyizwEUpwAoOH6HDrZsDYv1VuHUrQkkKhQKPYICRiidq0d+f/r4TY2NpehBA+x6rBrtY0V0zjgTo7jYaLNvz8Gem03tWb0TZHG4Tg1WtVikWi2zevBkpJbPTx3GUYrY6iyWtVLSetbIUF4rs37+fk04yoN1SkkBZ+JUSg0ODjI8bX7kHv/4dkuT/8q9ci6MyRv/1058a+4Wrr0ZKUzLfzGAJIZjJZHBiGYKxafBT/Zjs6EDu3k0UM0lJahGMYD2INVa+5zVosCJLUdq6BX3XXeYP3/serFwJr341Bw/sY/nQMgOqHnlkyfQgGNnDH/zBH3D99ddz5513shB3xch15moAy49MM/BczljQxJHvLPASoOfYMfjABxgvTbBIiW7ZzfLcGspBmd0zuwmjkPHjh9h7fA9/++VreWD77oZx1pwitKQgjKJUbxpU4+KfbLZJgyUQ0gDPxYsvRYShSV0nHlhJ4/W6jWoQRmhClNaEW7fC7Gzqa9cc3d09lCseeeHEz2EjwPL7BihVwxamDhKAZacAK2GwUt1g0AiwIl332yeWErtMJkUIQT6fbwBYyX3SUSxyTwDW1BTnVypoy0r9DFOT3vg9Sln0Dy/n2LFjBEFgdFhPPJG+/suK5xzA8kLPmAU+wxThwsICC7FGJ3RcRBSi4odvz+5drFq3gUoIpcUKHY4pjQe4+iUv5Hu33sMpv/7bZhf2xBMEkSa7dy/ldavIWtla+e7Gzci5Oazj0ziWXWOwYoBVlSGBiCi4BSwlye7fQ7iuURvFxz9udtoPP8wXX/1qbpGS6N3vZv/NP2OianPwwFFWrl7Z4pLc/cAD3AHMNbE6FT/k/gMzzJUa/14q1TFYbQBWIoL2wghb2ZwxeEbqTr5UVPwI15J0uBaL1SAFFZdceimPKUX04IMoqejL9DFdPg7xPSYMOXbkCK8DZi+8jCDp65XLwfe+x5F//wbEi6DM53E3bCB72qmo3l7C+Xm8w0eo7jFCX9VVINABWduh4kcNQBFg5apVzM/OMz07nZ53EAVoJbCUjRtUDfVvt08RLlaNxUZHnJKyRY7D+w8zuma0QeCeRGJa2C5NGEQaLcxkXl+5VB8Z28XN2JR9ry2DlerDurvhgx/Ef/5lVG1JJaxNeBOlCSwlGVph7uGBo0fTps2Jc3ViVlnPYEkhIYwIdIj81V/hnu/8gIuBJ/fvN+yhMC13jh45zPDyUa5//os5CuhrrjFj5WlCHI0F8StWGDdzpUwLrHjnm8RiEDucB+XYwqHGYMljR8k5dXPAbbehe3vRa9c2MFgA7u23EnQWUNkMIk73T8Rl6mCYDO37dBZyqflnEoWOHGPxmIuOHMJRjrFiiTQyNqJsDtcyouFkHKRtSZYto6+/n7npaRzLXGt9mX3GynBgzwG01pwcC31tJagCkVdlcHCQsbExw6J83zRrnr/8AgZ+fAeZ8XGTovnudyGfhyuuMJ58WqcNd+uZqMWuLjpivyuN8amS8bhUExOIhQXCBHTXjYmUwdKa0A8aNFhaa/YuHya4/35T8Xf11cbo+PrrGZqZYWR4GcHUNExOnhBgAfzO7/wOw8PDfOhDH2J+dh5lKeyMXfOgCiJTvPOhD8G3vw3/aRjUTL6T3wNmCwWKV7+Yg8WDFDp6GbC7cFUn67rXsegv8vDkwxyafIrJiVm+/I3v8e0f34z2GwFWPTtnSdOwOjl+GMsVOjryDQArDAVSxHPPuduIsjn4yU+IqlVjcXP77eiBASh0pePaD+N7HwREZ51lvqieBayLzkKBUrnCmo5V6XmmMT7OQqGXwzM+h2bnWz5bCXxcZXEwthypZ7DMedRtyAMzj6uEwRocNJWET9Z6BLYDWLaSaYowSlKEU1OcNj1NtGVLWnCVpGBTBstS9A8OE4ah2UScfLKZSxLPsF9SPOcAlh+Zh6QNOdMQFT+kP55Ak11fmLiVV00l3e5dj7NmwybG5ioQhnQ4NlGdn885p27CP8v4u7B9O+HsLM7kJMGGtSip0h2OH4Ol7P49uNJOmQuZzSJsm0VpQE6X24U1cxxrbpZgbRPAEsI0/jztNI6efiZviCKCQhfD73wLfiXi8JExRlaONH5mbIzMU09xM7DQ1JduoWpSWsWm8uRyzGAJAbqNBisZsPVNsZ8uqkFIxlZ0ZCwiDYsx2+M4Dgvr1jE8NUVYrTKYGySIQqb9oxxbOMrjkzvx77uDVcDMVa8kiqtchGXB8uXMvuDFDTtkMMUK7tq15LZuJXf2WWRP3ULm5JNQnYbB6ogZiqSPXtLeImFo9uzbk35XsphbtosbVIkijSfbM6MlLyTnqFRnICOHIweOsGLVivYAKwZOzWlCPzQ74Ahzra5qXw1rSQvXyZjKnxMBLIAPfxh144/RCBaCWcC0qkiaU68YNaznvsNHagxWzIJNTExQLpdTgIVlxaa7UVoJdO7F2ygCTz75JNrzEZbN+Pg4nucxvGKEZVtO551g0kqf/GTb66mP3FisiVqxwgAaKbFshQobqwgTt/xKUEGJOEXY0YEuFHDGx9LqJcD02rzgApASYTUCLGf3E/h9/VhK1ABWnYs7vg+atuDaUYrjcTsUffRI+rsmad524doSrWteWAnAGhgYoG9giNnj06m9Q5IeBMNg7dttFpQawJJUlAA/SBn5hx9+mNOmp1nI59j/Zx9ARBHL/vMrSLRhjV78YshkUDEQTFPqddcXDA7SF4PhKEoMNWNvoh3GBDZcYzRS9QyWa0lQCj+KCDy/QYM1Nz/Hp2/7OTYweNNN8Ed/BDt2EFkW7wJGhpejd8UL9NMArFwux0c+8hHuuOMOvvvd79JZ6CTQQXpP0xTsH/wBnHMO/J//A+Pj2A88wCXATVtOYc/iQTIqw0jPGuw4tdeT6WFN1xqkkIxa/fz8bpPy2n/kCMTzj9ZGJtHAYCnTcDxhx33PMFidHR14dSL3SEssqYl0hNuRpXjeBfCTn6AnJnDf97vwgx+g4ybyye9i2rdpCELkho3Q17ckwOrq7mahVMYlcUxvZLCqvf1kLIdDM0WemigSRprZkseT40W8MCRjmxRhJpNJLYHSVlR1c75hsDQqNqdFCPTGjYg65/wlAVbaJcdjsVxGlUqMTEwQnXtuyqYGURODZRsNFtR5YcEvPU343ANYoU/Gchqp0Taxa6yIzJmquiRNGDmxWLtSplgscvjQQdas38z0QhVHh+Qch7DujvbkbPTGDURuBv3gg9h7TJWfjqv/ksnFiwFWZv9e3LifVbI4uWvXsDCQJ2/nsaWNs898h7+2VkXSHB3dPUwCk3/7t2T272Xj5/6G8fFJlo8ua3xjbE56C1Bs8k5JJoL6dBlAuVLGcd2YBWw9djI4/KdDsOn7NV6gUwYLakJ3gN7LLycLPPLtb5Ozc9jkKesii1EFWyjO2rWHqhDMX/liwqqHsFRqBRGE+oTu4EIpZC6XMoWhDsnH6c8kpZdosNbGACspbYcawFKWgxMfptKmslJrzWI1IO9Y2EogBBw5coxqpcro6tG2LFSSwmsGWAlw1dQq0paKXDaHFwVpu5QkGlKEcSipyFkFFv05AI5XjhNEAT1uD6vi52bPwYMpwEp0XEkFYQJAhZQGvIVhen+y2Syjo6MGYAU+wq59bnjFKOs2beYG4PDzngef+lRb76405uZ4z6HDzGRc2LIF15JYSuA4NhYyTW2EUUg5KGNLm0hHRPgGLGhNMLQMZ3wsfd6YmIA9e9Db4s2QlHR1dTEFzMW+SH7fAJaUJkUoTNoiZbDiha4dwJJSMJukxY/UAFbUVEFXH80pl8nJSbqAKz/wAb5y5Agv3LWD7OQMQAOD5SqXfbv3oZRiQywhsJWkrCNEGLFsyDSw/+Y3vsEVQPGic6iuHmHm0ksZ+MaX4a67TKX11Vcnt8G0n/K8Bn80AGtkhE5g7vDhFGBJGY/5hx5CK0W0bl2LsbCtJFpZ+IFGBEEDyPzzj/w5/zl5nH/t7uYNo6Om6fzICIfPPZe3AKt6+2GXATRPB7AA3vGOd7B69Wp27dpFR6EDP/TrNFjxuVoWfPnLponwO99J7z99jjkh+GZ/JxrN+p712G4GCwMIwXiOnTF4Bj06y3/dcjMA+48eTRmldhWiyVyfeOF58XzbkW9ksKJQYElJGIW4lmLmgkvgiSdwrr4aee898IUvoD/2MYD0eEGoEQQIP8DK5o1p6xJC987OTirVKmFst5Oug6USLCzg9/Yz0t1Jb4dgsuhx//7jPH6syFzZpzdvMdCR5eDBg6xcWcuGJL9hPVjTgQFY0q7Nh3rzZuTevcYYGwOCS00bezvWYAEEvsfkzAwXYtqR6fPOSxeYZB6qMVgWwysMo7Z7926jwYL/7wMsIcSLhBBPCCGeEkJ88Bd9vKcLPzIA60QAIIo0ZS+k0Guq2BKAFQqFth1EtcLO+Idbu3ETkYaCDVKqBoAlhGB5fyeLm0/Gf3A7mdg5WZ1k0HUyAL0Vo2jLIrt/D46V7HDN4IkKeRYdndoeqNiKwWtOEdZFZ5cpNR7btBE+9jEK11/H6ypVli0baHzjrbeiu7rYDhSbdhLJRJAwOUmUSmVc1zXl/CdIET5TgJVMdK5lmuQ6lmjQYZ0S79b2f+UrAAxkVrGlbwsb+jayKrucS8cmuG+gHwpdRL7fsMgFUdRSpXWiCKKAnGUjBKldRDJpbIzv9+7duxveD2A5Lq4l0VJR0a3HK/tGj5B3zSLlWDJlwk7f3N4hOmGmmgFWsgOP8JFCtgCl+sjZLoHU+JXad0TalPc3W0gA5JRJky76i0yUJsioDH3ZPoYHusm4Lrv3HUh3jglIS4BSymApC4FJEaZ9DoH169fz1FNPmWbctpV6NS1bsZING02Bxf3Dw2aiX0I/QhSh3/IWVgYh//SSy6GzEyEEpywvMNiTx4pq4vukL19iwBli2JYg0nhDw7iTY7UF8B7T11CfFVexKUVnDLoP98Vmjr19afWwVorJ6elnBLAAZgtdVJQi8/CONPUbRLqt/gpqKZfEqmFycpL3Afm9e1nue3z48CFOOe1KNr7ut8g/WutXJ4TgwFMHWLV2FU7MxNpKUJEmpTIcVzze/s//zHIgeMHFAEz86tuxJyfgN37DAI6XvASoMTCB57VcW2I2evSBB9IGvUmKkO3bTdGN66bC+CRsS4KlqAQhhEH6G/zwhz/k2q9cy5vf/Q6KH/sY1x48mD4jt51yCj3AGXueRD7+uEn71+nflgrHcfjjP/5jIO5YEfhobe5JfQqWk06CP/szuO46en74Xb7Z28N4qcTGno1kLZNFkEIQNtm8PL5zJ4/u3s3o6CiTMzMU58zmJJkDm6sIAUrVEMcSVCoJg5VP9XhmzoyboOsA15bMXnip+YIoIrj2WnjnO9PfIgFYXhgh/bjDRjZrmNhdu2C6JmdIohDb/5QW4i4hCSiKWVK/r5+cnaE7L9k01EFfh8vGoQ7OXNnDYMHGiUXu9f1skzm2Yc4P4yrCugpSTj4ZsbCAjlOMA5kMVtxnMImkH6HWmjDwmTx+nKsB33UJtp6ZMliR1g39aKWSrF6/ia6uLm6//XYoFGBk5P/bAEsIoYB/AF4MnAy8UQhx8ok/9YsNP/JxbZsg1C39vpKoxPRxZ4+ZkBKAFUQalcuiyxV2xDT4phgsdSpQtkOgGwHJQIdL5ZTTkA89hLPnCbSU2BvMgiJEbIAoFcHqNWT37UkXvqnyFF7oMVc1g7bLMQDL2vMUWkqqo6uWvMZMZzcQO49/+MPMbj6JDwN9fV2Nb7z1VrjgArLZLMWmnUSpjsGqF1pXKhXcjGuaurY59rNNESZAJjFuzbtWWkkIULjgAh7v7OTCm2/Gm54BrejK5BFSYt96G4NByAOb1ptdn+en6QjTsf7EDFZzBFGArWwytkqBZXIdq5aPMrpmlDtur1UcJSyj7WSwpMRy7fS+1Ufif5WPRdWOkuyNq4HO2XJO23NR0lTGNWuwkklMi6ChuWy76HAz+DKiWtcmKAWFbQBW3iqgpODIwhEW/UUGcgO4yiUnJcsGh9h74IDRDmHGUSJwB+O+DyAsk/oWUSPA2rBhA0/G7SuEbaeL5/CKEXq6CqxZs4Y7EpC/hFEif/EXiO99jw8AM6fXrC1yjoXt2FiRQKMJoiAVuCcAy4tigBVqKgNDuBPjte+9+25jIZGwIlKhlKKjo4P9BTNm/L7+tJfibKVCFEXPGGC5nQUeKhQo3HFfCpybNToN74/tEhIwPbdvH+8FylddxR+86a2cbtvMfvj95Hc+hXXuNrjmGmNNMjeH8+gTvK67I10wHUsSKE0YaVb0m1Tv1hnDfvmXXmxaWl14Jf6ataZzw6WXpn54aZPspo0LQHfMEEw++ig6LhhKyajt22HrVnNPrMbP2UqAsgyTFARYUjI1NcU111zDhpM38J4/fA9Xxo7rP/mJsSi4LQzZpRQjt9yIevzxZ8ReJfHmN7+ZU089leUrllOOK/c6MhZaN4qyee97iS64gNC2+faqFfiLfsoOCtuY0YZ1Ni86ivjWD3+IEIL3vOc9AOyP9T7tKkSTatWSF+BaKtX1FjpNitDMVxFKqNj13cgmyhtPonjtdyj/+5eNKB/SVG3i6xeEGulVkEIiMhkDsKBt0UiycViM9XMpg5WajA6Qs02mpiMrWD9oQJaUAn10DFnxWwBWs1N9cn9CSL3bAEisgD7/eXjta7nhwQf55m23mWbiX/0qLC4aqw+hCCJNGHhMT03xGuDAec+jYrsQmvWoWeRuWRZKKc5/3oXcFhescMUVbXvl/nfGL5rBOhd4Smu9V2vtAd8EXvELPuYJw4988nHVjb9EKWuSFst39SClrDFYUYTMZdGVMo899hjZbJZ1a9ciBHRYoJwMGt2wsEgpsM7aijU/R/ddt1EZGSaXr/3oyYPprVtPZv8ecnaOnJ1jbHHMCCmLh7CkVRvsTz1FdWQlgWpdIMHsSEbXb2ZkdCXvfve7OTI2xo5t57MB2LBYqmlUjhyBJ59k/LRz6MjlWKhjsIIwoupHZGxJ1DQR1QCWalsJrP8fGayk9VCHa1H2wloFo5Tc97a30RcEFH/3fea9toTpaaw//EN2APvOPBUpMQArnnxMSTRL6lxa7puO0GiUVGRtlQKlRCsjpeSCSy7g7jvvxo8X1CQdZdlm0XSymZaUKphJVQqMIBuTAtq/by9SyhSYtAtHOW01WACh9k+YHgTI2y6h0FQqtYWh3l6hOQSKDqeTueocAkF/th9b2qgoZMXwEPsP7jdptro2Ofv27aOvry+duIWUpkdlGLYwWFNTU8wcP56mCPv6+sjm8thKsmXLFn5y8KCxHol7FzbEj38Mf/RHFK+6is8C/QP9ja8rCxXVrrHkl7ClTcbKYEsbPzI7/LIfUhkYwho/Rprjvvtu0xIq1leJeDHs6uriqbzRT5kUoXmWpuLF6ZkCrI7OTu7K5cju3oc7YXbsiVFiu1BSGHF6DPJPuuEGOgHvjz5Ob/8gj/g++v0fRj25x7S0+upXjXi/u5sbDh3hz+97BH3uuTA5ScZWxtFfK4ZizczlQDAyQs9JZzKQHUZLRfmad5qDx+lBqDFYUd3GJYnEbLS4axdRKMwCLEKzUB89CmedhVAy7V+YhC2NBqsSakQYYinBpz71Kaanp/nk33+SjJvhpJNOYsWKFfzoRz8CYM/evfxg+XLye57EfuQhiBujP5NQSnH77bfzt1/4W8q+GUuFjPmdGgCWUhz85j9z3df/CbncFLQkIWwbCURebeMXlcr81803c+H553PhhRcCpl8n1DFYTVWEAJE2478YP0PdXTGAD43GSwpjHRLqMJ0TF86/0DSojlnJ9LcIfKLIgGf8KlJKpOsaTZlSbXVYCYO1EPe5DZsBVt8AObtV/6l9H31sAn/PAY4dO5ZWEKa3LykiSSIIiKRqKOIQMTCWn/kM3H47P1m5kn8ZGjIm2b/2a7B8Oe5jDyMxtg+h75F98AF6gYmXXG1aYsXVickxozA083Z8r5534cXs3r3b+CP++7+bXrq/xPhFA6wVQL074+H4b7+UCCMz6WfiB2gpliVhL6RUaeUNxIttLo+ONI89+ignnXQSw905lndlkWGAchrTe0l0bjMsRfcjD1Net6pBmCxjIam3Zh2Z/fuwUZzSdwpb+rewvGM5trQZyA7U9A+7d1Nds25JDVnJD8nmOvj6tf/F/Pw8L3/5y7m1p5sA2PLILiqBWWi49VYAJk49k2wm25AiLMXXnzTBTVimKDKLtZtxsaQiaiPCSgas/wwZrGoQIkUtLdLpmsmvnsU6+zd+g88DPV/9Crkdj+CicT74QXSpxGuB/PJ+k4/3vTQlkfy2zb3eloqkuaglLbK2ouKbnVIY1bx6LrnsEhYXFrk3dkoOogCBQMXPUyaXaUmpgmGwck5Nw+JYkgP79zE6OpqmctqFLe1WBisw/dtC7S0pcE+iw8mApSjXmfklALuZwUqEud1ONwB92T4saWFJCxFqVgwPcuigqVDTxCAtdnFv8FazrNQAsJnBAthz8FDKYK1atQohDKuxZcsWHt+9m+i009ozWB/6EGzaxI6YLUgMPpMQtoUVp2f9yGfRX0w3JVkri6/Ncz9X9vEGhxGeB8ePmx3wvffCtm3oGLwm1XJdXV3sin9bv68/fQ4m48UpOQft+wZMLOHL1NnZyW3xa5k7jDYmNUpcIlxLGQAwNcX5993HdZkM5U0n0zdQK7wRPT3w139t0iAf+hDHfvd3eS3wrXe83mipXvMaMlGIr4yB5VBPDxJ4gVJYV15JT7aX/oxpau9f8w74yEfgV381PYdkbQzbpAiTdjnV/fsJo8SGIISHHjL38MwzsYaHUb29DZ+TMXj0tAHhlhTs27ePdevWsWHLBsPCCMELX/hCbrrpJsIw5KmnnmLXaacRZrKIKHpWDBZAd3c3fb19eEFIpEM640reZq+xUsZhcd16+nv7mZ2dTf9eY7C8dAP52PYHeXzvXl7/2tem3TH2x6xsrZF3a4oQzG+bAqxCrPELI5PqEwo71jg6lukKUCmZdKJMNgBxIYZpmB2nyLwqSjnmd8rlDIPYBmAlG6HSojl+AgZrAKs/ZbDqvbCCGJxOHDRWNaNNtj7Gqb7JpkHKBpApli+n8qd/RvC1r8GRI3xt2zY+VSiYvpK33w6WRccnP4EUiiDUBIHH6PaHmAK8K19KOcSkShPdlRSMF49yYOFQen/Pv/AigBqL9UuOXzTAajeDNKy8Qoh3CiHuF0LcX99v6xcVqwur6ckku4b2LEulbpEcqGuXE4QmRQimB+Epp5xCf4fLyr4cBAEqZjKaAZZ1xumm1x8QbljfKBaVklBrqmvWIytlwyxhFoUVHSvY0r+Fkc64+k9rePJJvDXrlgSHpRiYnHPmGXzzm9/koYce4k/+/nPcqRTL77yPih+L2W+5Bd3bS2ntBrIZ0wC09h0xwOporKjzwgjPq5BxHZSQjRUoGACW/ClYgh1sjoof4dYJIZM0Wr0O66STTuKLo6PM2TZrP/b7ZP7sT1D338/ea67hcaB7oBuhQyI/QCQLYnz85irCpSJJ9ymhyDoKrc25BVHNbfqKy69ACMGNPzYl7r42abJkR5nJZwjinWh9LHoBuTrPJVtJjhzYz9oTFCqAYbCa/Wi80FQMhTp8WoDlWi7SsSlXnh5gJb9bX7aPglNgOG8WXiEEFoLRZYNUymVmpidrACvWYK2uMz2sMVjtAdZTh0zLnQMHDrB69WpW9+UZKmTYsmULQRAws3q1YbDqn5/ZWQO63vhGxprYo/S4SqUMVjWsUgkrKcDKWTn8qIrW2gCsobjY48gRA04WFowwOIyfuRgMFQoFHgX2f+gTTL/kFSlYn5w1afuBGDzoNim0+ujs7OQ+3yfoLmDdejtAanfREv/6r/DZz5JZmDMA61OfwvF9/m10lLIfMtDUhB4w7az+9E+5/dxz+RZQfcNVFD//t3D77Tjvew9ahmjhMNTVxaXd3RTC2GSTOg1kTxf8yZ8Y7UocSQomCsKW6xPd3ZSFgKNHCaM4RaTDGvt4xhk4IyPYTb57YJ7/IO7fqaRgcnKS/v5+Ih2lfQivvPJKZmdnufPOOzly5AjL1qxl7gUvNF/wLAEWmOfd9OwzxSbQ2o6oGvgooejt7WUmTqOaD1soKU3D73igXPvtbyOl5FWvfz39/f3ks1n2xgArkZ7Ug6p6qYJr1xisnp7aWuSH2qQIZexkjmHrE4CVVLCCYbG076frgPDLyLqesZx/vtk4NPlAJQCrOD9vNmphI8AK+vvJO0mGp64it2rOd2p6FoCRkcaK9HqnejAi91DIhk2EUAr9spcSnH02WBZdXV0GyAoBF10E73sf9vU/pPD444Q6Qs/Ps3HvHr5rWbiFrhqDVZeCXawUqeCn1hYnbzmNQqHAT+MCrl92/KIB1mGgHuqOAA122FrrL2qtz9Zan928K/3/dyipGMgN0JUxVT1LsSwVP8KxzIMxMDjUqMHK55gtFjly7BinJOZpmEnWiv2hwiYdFrkcxKZ7cvOmhpekNJNtZU282NaJqFtifBwWFgjWrVsSwJS8ECUFriV56Utfyqc+9Sl83+e2/gHyR44RPvqweeOtt+I97yJAk8vmmKsHWJ6p7sm7puotSZdVgwivWiWTdbGkbGGw6v//macIwwb3a0tJco5KRfZgFvmLXv5yPqCh86H7EZ/8JMErX8WdI+bR6h/qJ/RKhJFOW9WkDNYz1GDVa5MSL6OSl7TzMN8xOjzKplM3cdPNN6WfsaWdsma5rJmY6lmsih8ShLpWsYZhsI4cOsDqJlf95kjMRuuBih9G8DQeWOlxpINlqVRQ23yd9ZH8do6y2dS7qcE6wokkoyNmoTxy8AARSdNq1QKwwEz+KqLhvJNd/t7Dh8Gy0nYuw10Z8q7Fllifsaeryxhd7q1Va3L77WZzcemlqWVKM8AyKUIBWjNbmQVqFXZZO4sQGi+qUvZCxApTzs3RozWdyrZtaUVSPYNVXChy7O2/STAwmC6YU7Nm8R2I0ztPB7AKnZ0sLC5SPP8s5C23GH1KOw3WwYNGaP6e97DuzM2s+N3fgs99jp/097MwOkrZC1k+bIBvch/qY+fOnSbtvHYVM69+MXzwg/DFL7Lxm9cSSgdHSn78B39g3hwDrGQz4LQZJ1KK2M+oTfpTCOayWZzpaYJQYCegYPt206bkBNoXU0moEGGAHWuwmgHWFVeYzcwXvvAFtNasWbGc2be/k2Pv/kCq73o2YUubIIoQKlyyHVE1NACrr7eHSqWSNrYXQiAdG4KAUBu91LXXXcdFZ53NsmXLEEKwZuVK9scGnEl2oZ69UdJUD0MtReg4Dh3xnOGFEV4Q4ViWYctiRt21FF6pYqo46xlSy0rbDQEI30dl6uxeNm0yBSOxGWwSSYqwuLCIJRoZrChrKqotaSFFY7uchYpZH6a9uLNFk2F04lSfROT7aKloTiDIzk6ihQW01gwPDzM5OZlKLvjt30YXCqz8wucIQo1zy09xw5AbevpxbUk51KDBD5LNsKBcLoJjmZZggJCKCy+88DnDYN0HbBBCrBFCOMAbgOt+wcd82mhb9VAXZT+kK2smlP6BwQYNlm0pdh8xTUQTgKXDEB1G2K55wNs1nI3OMNViYlNjSxolxTMHWPFrwboNSzJYi15AzlEpS/be976XP/7jPyb3xl9DC4H97e/C/v2wfz+lCy5ChCG5XI65+XqAZTybACO0jAGWF0R41QqZRIPVBLCSwWor8SxShFFL/7aOjMVCpZEFfOlLX8qXfI9Dp54BZ5xB5cMf4s+/8E+sW7+OzaduJvRLRFrXNFjxb/tMqwiTCU0JlWqlyn7Y4FeUURnOu/g87r/nfhYWFlI/qXoGCxqtLRJwmqszoKyWF5k9PsXK1e17qSXRzgvLAKynt2hIXrdcm4pfTcFDymCJRoBVS2u0fo+tVQqwjh7anzJYxyePU61WW9ovCaWQUeNGI5vNMrpiBXsOHWJ6bo5yudygP9u0aRNKKe5Pdtz1acKf/tQYDJ57bgos+gcbNVjCUiipIAyZ90wKL2cb/VRi6uvFOixnNFYpHD1qytn7+027qTBM9VdgAFYiBq5/jiZnZpBS0pOL/a18f0kHf4DOQifl0iLzF54HBw4QJua2zc/mP/6jAZLf/z6V172B3h9+F12t8je5HAMDA5T9kBXLDfvWwGDFsXPnTtauXctQ9xATpQnmPvJ7RC99KVv/4rOc8Z73I770JdQNNxiPoGXme5pT9PUhhTA6n7pxVR+l7m46FxbwQ41jWWYMbd9uWsw0hR/6jC2ac3YsAZaFCAOkFG0BVn9/P2eddRbf+ta3AFi7fDmsGOHQe/9wyRY5Jwpb2nEKLqlabm1HVA18pFD0xuCwPk2oXAdRKRP6IY8++ii79+3jNS+/Kn199ego++Mm1cm82DyWEjY9SREWCoWU2fJDI3LPWBYCkTLqGVvilcotz5ewbLQfpwi1NinCbB2DlTCHTc9JymAtLqKikDDZqE9MEPT3p0DbkU4TwJrDUQ5j80acPyxEQ2ugxKk+iTAITLFIc6/Njg60H6ArFZbFz2C6Wejuht/+bfpu/D7ZJw+QveHHTNgOu5evYKDDJdASPwyJkgIkPNME27YJ496oodZceuml7Nq1q+0Y+e+OXyjA0loHwG8DPwIeB/5Ta73jF3nMZxKWkkjRXoPlBRFBqMm7FpYS9PYPMT4+ThQZCteSksfjnUoKsGJE7bhmwq0GrW7U3tbT0FLibGksy7digOUNDRvX3rgVQktoDV//OgDRxo1La7DqwBGY3ddHP/pRXv7O32Tm5M3kv3tDqr8qnn8hjojozHeklLXWOv4OswBnHZWmTL3QMFhuxsESqsWsNRlfGduk2Nq12qkPPzT32m2a3DtcCz/UDanaSy+9FDeT5Y/OPgfuu49/vu46du/fz1/99V9h2RaBv2g0y1biH5WkCJ8hg5WkCONJwbUlFT9s0GAJIbjksksIgoDbb789tSpIDGEzhU4sJRoYrOOLHlLQ4Bp+eL8Rw46sXFrgDnVeWFE9wNIpg/V0KUIpJK7jUvF9otSU0LBuzY7+6aLQRhdkacnQCsMuHz10gIgQKWTa/LqZwUIqROw5VR/rVq9mz6FDHIgbdNcDLNd12bhxI7dOTJgqqWaAdf75kMkwPjFOZ1cnWbfRnFXEC5MVu0A7yknvX0aZvmdBrMNyE8PdhMHats0YIYZRw+Ld1dVFsWjSgfULxfj0NH1dXch43GvfB8vi0PyhlD2rj65CgTAImTnvXPP+m413UgP4L5Xgi1+EV74SXvYyKv/wTzzws8cobX+Ye+fm6Onrxwsihgf7sW17SQbr5JNPZk3XGnJWjqeK+5j+8j/y2EfeY+aev/gLwwbG7BUQsybtx4gSAhEESwKscHCQoShiamrSAKzinJm/2jBME+UJDhUPUQ2rZkwqC0sbnWMCsIAUYIFJEybsxprly7Fcx4ifn8bDsF1Y0oorz2qptxYGKwhMx4heA7Dq04R2Ty+iXKL0yCN866v/FyEEr3xFrV5rzapV7D9ymChmJ5P7Vx+J75lrSebn5+ns7ERJYWxPAsNg2cr4yCUbvoyt0FWPoKkaU9h2LUXoe0CIcuvaNMVMJ03PSSpyLy2idNRQRRj0DWDHmRtHOVSj2jpWqhTJWBkOHT1CT3c3ecsmqPvuxKk+iSgI4h6hTfcgPn44X0wBVj0QEu97H1Emy6a//jzZn9/HD/N5evoHKGRtkOY3C1IH+4ox+bUtAu1hpJ+aSy65BMDYNfyS4xfug6W1vl5rvVFrvU5r/We/6OM907CUbGjqm0SyOGZt47rd2z+A7/tMTR9Ha1BK8Pj+/eQyGVbGQr+kRYLlZLCkRSWstHzv7NvewOM/+FcyI6sb/p6I3EMdm4e2Y7C0hve9D77wBXjPe2D16rbgJUlHNThUx+Hkskycdz6Zp/ahP/95GBhgft0mXKCr0wAsrU0rhzDS5GOQlrVVurvygohqpWIAlmrVYCUMlmvVdmUnirSC0G7ckebbGI46boazz7+In97yE47Pz/Onn/0sl5xzDq98xStRQhF6RmcUxWxSsRKQseWSpfDNUS9yT6675Jn7addtRS+88EIc1+Gmm25KGSyZzZI7cysyk4k/F3uIeSFTC1WGuzIN53EwBljLV64+4Tk1M1hJKXekjbj+RB5YSWSzeULt41XNd7S4uMeRVua0A1gRuLkMg8PLOHLoAJEO0gpCaAVYwlJIrVtS5etWr2bP4cMcjHWGzZ/bsmUL25MmwYmWZ2bGCKcvvRQwDuq9/b0NC7E5cfMM2bEnU96qGXAqqXCVS6DNgpEv5KGvj3DHo8aaICl/j8KGNEyhUGA+FrTXF0tMTk4y0NtL5HmGvQ5CjlTHGSuNcbB4sOX+dXeZReX44DJYtgwRb3Aans2vfc1cayzidyxJ2FlgfsVK5ubmyHT2IAQMFjINhTdJ+L7P7t27Ofnkk7GkxcaejcZGwx/n2Ftfy/Z//ipzX/4K+uMfN3NJHO0Y5CSkJE0R0gZgqdFRlgPHDh3EVRbOPQ+YuSpp11IXRS+xBYibQlsWMoqYn5/H9336+k2FY/3v+sIXGs1VZ2cnfR2d2HEBzDOVH9SHLW38MELIutRbvRcWUKxWydsuvbG2rgFgrVhOsG4jWln84Aff59wtWxiuE3qvWb2aUqXC5LFjbY1GwQBqxzIVl8ViMWWTDONvRO6OJcx8lmiwLAW+hyebAZaFDkx/W9NeKkJlngWDVSrFDFYNYHl9/elzXq//LAdlU9Fn5Th8+DCjK1ea1mJ1munEqT75vsgPQTVWEQLITAZh20QLNYB1LN5wAdDfz/FffTvDt96FCAK+rjWDgwNmPVKSih8ZdgyoeEVEpMG2qYbVtJLxzDPPpKOj43+EDus55+SehKNkWx1TUhptTC8l3X1G63Ek7hxvScHjTz3FSWvXIuJWETqusBC2javcltJ6gIoN3llntCxuxrXXiMP9detbAZbWZtL9u7+D974XPvMZLGXsE5p9vNqlo5JwO7JMn3c+WgjEfffBpZdSCSIcGdHT3UVpYYFFL0y/I9EhJd9V9kOqfojnVVObBmg8h2RwJRP2UjYYSST3upnBytkKIWr+UWDA4wWXvYCDB/bzq7/6q8zMzfEX7343QggyVoawagBWqCyCMGKu7KdVkM8kkgktSZ0lACuKQXUSfYU+Tj/3dH5y00/aGnbWM35HZktIIVjW1ci27Ivd4J8WYMlGgJVYT2jhpT3tni6y2RxhFFCt1ABWO2CWpgjbfKetJSjJqtWrOHZoP4iwvcloElIhw0a7EoD1K1cyPTvLww8bHWCzRcU555zDnj17WNy0yTBYWsMdd5h/X3YZYNIJPf09LQArSdOquJKw3uEcTJowjBmsvGPhDw+if/hD82IMsHQYgmxksCrlMoHvNyyWExMTDPb3m/SE7zNZnuR4ME/ezlMNqymYSKKj05xLcb5ievz99FbQNW0fWpvxfcYZEJf8J2NiLBYf2x1dDHa6uJZqaUIP8NRTTxEEQV2LHJtNPZuwpGWq0dws5VVrTSP0tbXUdPUEDJYUAhH4hEswWLn16ykAk3ueIGPZdHzrOiOSv+KKhvdFOmLBM6mlBGBpZaEETMaLa29fb3zM2rls27aNjo6O2ApH4GbMeGgWpz+TMFWbVh3Akg1eWEEYslD16M66dHd3A40pQksKyHcwXiiwfdcuXnrllcgYrEBNY7jnqaeMg7mgZXxmbJVuHhsBlqxpsJRJdSdaSUcHiCjCa5pnhGWBBq/qocKKYW+zdc/8EgyWZVnG93DRMFgNAKu3LkWonFT/ueAtQBiStbIcOnKE0dFRZC6HrvPXq5fdaK0Jw7AtgwWgOjuIiksALGDmXb9D6DhUlw9za7HI0OAQlpLYtk01CFOA5ZWL2MrGzuTiHsOGrLAs63+MDus5C7AsJfAD3fL3sm80Ca4lcSxJV+zkfPSYmdAsKdj5xBOctGYNUdJeJv7BhW2TUZm2DFYlqLRN6Uhp2IMw0gRr1xlxb33j5T/8Q/jc5+B3fxc+/WkQovYwNwGYhDlpaGIbh+u6RAPLmT/NGASGl1yCH2pcoentKuB5VabmFlPWKPmOhF2qeCHFRQNibNfGiheisG4HmICtRLTuByeeCCupi3vjYyilIOeoBquGahBx/qUvAOD666/n7W98I6du2IjWmozKEHhltGUTaThe8tAaevJPz/AkEURBWiJurl+lNkn1qZy8neecC8/hsUcfY3pyuhVg2Qov0MxXfCaLHsOFTMsCtnfvXrp7enFznZwolFRY0koBVrJzjwieNj2YRC6bNT3YYgYrMQhtjmQn306DZWmBthTr1q1m8ughNGFqMjo4OEgul2t4v7BMirAZYK2LK49uvvlmOjs704UsiZe97GUAPABGnHv4cIP+CmoMlhKNm4gEYNmRuYBEf5WEAVg+ri0ItU9psBuruIgWwvgGQVsNFsDiQrHBs2piYoKB/n50tcr47BGOl6fp7RxiU88mpJBpD8f03DLm3s7MeESXXY6cmCC3+/Havb71Vtixw2yk4ufPVoZ9PTZmWIKe3n6WdxugPjQ01JIifPxx00ImAVhgmj9v6tnEmq5RLCePF0REdW7kCSPaPP6SULEGSyurLZhPzEbLT+zC9Xw6vv9jeM1r0oa8SSz4C+i4eNyPfLOIW5apIIyvox3AchyH3//93+ctcTcHN25j1aydeibhBRFKWIhUg6Xi7zL/P1uuojV05zL09LSmCBOAfeMN1wPw6re/vYHtTHSI+/bsWdLjbN1Ano2DMYNUB7AcS8aGzmA3MVi2V0EIqFpNGqxEa+r7CK+CFgLl1t33jg7jKddGh9TZ2WkYLG00pmiNnpjA7+2vpQhlUo3ts+AvYCFx7UytTY5toyOd6rCSYqIw0sYDS2t0GwYLYqF71aM/Hv/NAEuuWMZDf/EJdr7t9YRRyPCwITlyGZuqHxEmkpVqEUe5OFmzsVFxc3IwkpKdO3ey/Yn9Lcf/74znLMCylWzLsJR946ArhKnEK/TG2pP4Idiz+wmOjY1x6saNKcBKjQYtKzWHbF5cqmGVjNU48UCdW3KkCddvMGW1MTPAxIQBVb/2a6ZHW9L7qe4z9VHywiXTYq6tUJkOxi/dhhaCyqVGh2Gj0xTGsamZ+Ppr3+FaRq9W8kIW4nJhx3GwROs51FKEZuJ5un6PVT/EVqJtpV/etVLACIbBGl4+wpZTT6Wzs5OPJ9VQYYhruURBhchShFozs+jjWJLOzLMAWDpoWLQzdSxgPcBylcv5l5iedfffeX8LWEkYvz0TCygpWNbd+pvv2bOHlavXtNg5tAtHOqkGK9kQRDy9yWgSHdkOIh1RKie9x9qnCE/EYKkIUIrR1aMcOXKEA/sPtLVoSCIRuUe0B1j33ntv7IHVeKzNmzezfv16vheXu7N9uwFYF1yQmoBOTk62Z7Dixc6K2ze1Y7AGCy4jvRYH5w/iDZtxXd28PrUm0GHUwmABLBTnWxmsgQHKpSKHZ/eTdzpY1WsauPdkejheOZ6mnMMoJLDjlPGCx/FtzwOg8PM7agzWZz9rGrW/4Q0N5+xakiPHDABZMzKcbnbaMVhJ667NmxuLaHJ2jpVdI1gZBy+MUrYdDLjQunWDk4SUAvwAvYSpcSZmbYJ9TzFw8x2ohUX4lV9peV89oxdEgVnEldE6TsYMXTuABfCRj3yE3/mN3zD3I2OazDdrp55JeEFk2GnR2DkiAWszJQNkurNuW4CVjIsbr/8ha9eu5aSk110ca+JWWnv37o0ZrNZxJIRIAUczg5XIKZxYg5UwWLpcxrUU5WaAlfj9VTykVwbHxqr/nYQwLFYbrV5nZ2csco/Mpnh2FhEE+H39qWY1mV+qYZUFb4GscCh5PjMzM4yOjtY6ZsRrXzI+glDHVgq6rcgdQMb9Pa1qlf7+/haAZUnJxPNfzM7lBlitWGbYuFzWpRKEBH4IRHiVRVzl4mTytRRhfB8vvvhiAO688w5+mfEcBliiLcNS9sI0PeZYkr6BRt+Zf/z7vyOTyfDGq68migGHDoLUaDABUfVpwiAKTA9EtTTAAgzAglqa8EtfMmzWBz+Ygito370cjGapnf4KzMBVmRzHnn8ZR3/+I5MuAByidKBPHJ9t+Q4hBNnYNmExvl7btWspwjYMVjJ5PZ1W4kT6j2ahe8U3rs//9qUv8YMf/IChITPodBThKhcZBATKsGazJY++/DMDIEmEUdgAPLJ2PcBqHCZnnXUWnV2d3HvHvS3ptpTx8yOWdWXaiuwTgPVMtCS2slMthBdGhDqAZ8FgZTM5lIRyuUSkI0IdnliD1TQh6jA0C5Ol2HaRSaVdde5VvPXVb+Whhx5qqSA0X6IQYUTUtIFZHetCwjBsD8yE4KqrruJLDzxgmKWbb27QXwVBwPHp4/QOtDJYiVVGr1VgVWFVK7NoZck6ioVwipnqDJlRc97FrSenYIgobHAeTwXBxfkUZFcqFebn5xkcGqLsLSLKVQazg8i4yqs/a6rhZqpmcZ4sT+LGqeqwWuJoYZBg7TqW/ds/4b7qFfCiF8F11xl7hibmx7EkR+N5Z/Pqmu/Q8PAwExMTDfd3586drF69mny+EVgmkclmqAZh2l4FaoUgS6UIAVQUEDUBrP1Tizw1scCxbDcA4sghur79A7xlgxALjOuj6BVTRjFNEVoWSgimYh1PCrDaLElJEZG07dhe4f+BwQojlLQRMcBylDRgLU43zpTLZG2FazlLpgjLpUXuvO1WXv7yl7dsDvJdBQZ7e9m3bx9h1KZCtCmaNVhJ2JZsYLCiUgk3n6EUNn1fLHoPPB8Z+ODarWNiaKgtg1UoFFhYLCGjWOQeg7B2AKvsl42nnMhwZMr8VqOjo7V+iDHASq4hiKK00TNK0e42yHwOoWSaJmwGWLYlUdpiIvbcSgBWNmODhsWKZ3qL+gEZK4ObyeNHPkLodD3acMrpZHN5Hr631Wz1vzOewwBLpqm5JKLIiLzTliZKke/oJJPJMDY2xvHpSb759a/xlre8hcHly9GxQ7b2a60kkoWv3gU3+e+2DFbdQA031AGsMDSi9ksvrXUGj6Nd9/Iw0lT8qK3+ylyvQLguKhTMrx8xwKVSxkZTiEWdxfkiFT9qABdgwMZCJcCLNWe2a2OnAKv2voTBsqQxHnwmInfXbv8INgvdq0FExlKcffbZXHzxxbVUThSRURlkEOArzfSiR6Sh59kCrCbgYSuZeqGpJrq/kCmwddtWHrn3kZaF3I3dly0lGO5q/b193+fgwYOsWbsW/wT9MJNoYLDCiEW/iCUFnc6J04vp+ThZlKVYrJRO2CYnmZiaN946MIJ6y3LZum0ru57cxTXvu4annniKyclJNm3a1PJdQpl+hFGT4W7GshhdbjyolmoR9PKXv5xZ36e4YgX827+l/lcAU7GnT1sGS0qEFGSEzWCutRFwMvamy9NkVIb8KjPWFs7akjIsRoPVJkVYx2AlZsiDw8MEkY8olbGVnYrAC04BV7lMl6eJdMTY4hiDPeZ8nKjKYjVk6pp3EeU7EMeOGRPVK6+E3/7tlnN2LcnM8WkARlcsS/8+NDRkwGZdo9ykgnCpcHMZvJBGBstvTJe1CxUFaeEImMrgY3MVji96HMoapmfZ2FFyN93G8Ve+sCXHnGh4CnYh9qIyACuTccjYKgVYPf3mu2SbHHVSRIRt41pG6PxswwsibGkBSZcOga0MWAvCiPlKlbxroYTCcRxyuVwjgyUF9911G9Vqlauuuqrl+4VlsWbFCvbtN+2kTuTSD00pwrpNmKNkgwYrKpXIFDrj6vbadad+f56H9Mto12ndOJ2IwSqXkJFJS0ZjCcAaSIFSkiI8XjHPWFY6HIq/K0kRQhsGK9IQfy/xPNByr4RAdnQQFhdYtmxZCxtrK4GrbSaOmwreZcNmY5aLMxKlsmdaX3k+biafju2IIF0TF33Nmdueh1fXxeKXEc9ZgJWAlHoWIaHMExbCsYwmZ3BoiLGxcf7r/36JarXK+973PmQ2S1RNqoiCdIJNAFbakgZThQHtAVY9OyL7+41B3+7d8KMfmVThb/7mkudeP+AWT6C/AvNQ27ksIlJUSwZIuXMzKCXpjsWGpUUjRG1mwTK2Mj0JY4DluA4qTsk0gzwwdLolxQltGrTWVP1wyfREs9C94jcakqbl9KEpyZdhiC8jZhY9HEtQyLS/D0tFEAUtO8DkOWj20spbeVauXcmxw8dadtxCCJZ1ZVjVl2vLXh08eJAwDFm3zvietatkrQ9XuQRRQBiF+GFEKZjDtR067I4Tfq7+88pWVCqLJ2z0nACsFlFqkDS0NsUbK1au4J2/904e2vUQd999Nx/4wAdaD6oUAmlKtePQ8c52fcx4LQWwnve859Hd3c0OxzGGo3X6q/E6vY6SbUCBZaGXYDekkKl56srCSuTWM9GuS/F5ZzPnmYncaLBaU4SLC8X0t5yIU1pDy5bhRwFWJUDajQUH/dl+5r15ji0ew4981gzGLJ9fwVaCfa9/G4/ccAfigQeMTcSNN9aqvuoi51jMHZ9GKZWmrcAwWFBj1cMwZNeuXScEWFlH4QtFWK0BrGfCYIkgQNfdk2TTtKY/z9mnrca3LN4wP4cIAqZe9cIWaUSiv+p0OhtSX2es6ac75zA5OYlt2ynz1o7BIqhJMNIWQs8yDFvuEFHrMJCAtfmKGV8510rHRnd3d6ObO3DXrT+is9DFRRdd1HqflGLV8uXsO3gwNZHVQUD5kUcI60ycwcx9CwsLKcCymgBWuoZ4JaJyhWzBjPV6+xdhWWg0YbmC1AE4z47Bml9cxIpZsrANg5U0m1/wzZqQweHI5AkYrHgdC2JdVqRBq/YpQjBpwqhUYtnQUCuDJSWOVkzPmArexFQ4m3FAQBSGhNpD+gGZTGfKtoXaS2UpMyWfL3zlP/nKV77c9vj/XfGcBVjJrqEeYJXTCsKYJo0nnv6BIQ4e2M9/fe3feNnLXsamTZsQsbA3KpfRnp92jXeUg0A0pAgTsLWUyD39byFg40bjJfP5z5sBUtd8NQmr7mFOz/0EFYRJuLkcYOGXF1kslXCLx1G9vRTiydsrL7T9jiRlWo0dwR3XSc8hamAATf+yZHd4IgbLCyMi3WrRZOAhrQAAUyBJREFUkN6LOqF7Yh9R/95kQdNRhB2CLRWeNNWYPblnVmFXH0EUtCzaCVhtAVh2nmWjy/CqHtMT0y3fNdqbY7CzFUyDSQ8CbIg1G0+3WNiq5oVVDUKqeoFut/sZX58tbSzHoVypLNkmB1iytDwRsdpOFj/y03Rlxs5w3nnnpYtEfRgGSxKFdQArnojXxbqdpQCWbdu85CUv4YZkYajTXyXgpnegjU0D8aITtJr8JtGf7WdZfhldbhecfz6iWMTdcBLz1XnTYzHWjSSRAKy8qKWcU4C1fDlB5GNFrS7nfVljOXB04Sg5K8ea5QZgTU1NMlQwz8UzMcAdKrgor0hfX18DszMUg7EEcO7bt49qtXpCgJWxFVhW2nYFahrIpRZBHYbGbkPVri8FZUoilaTS20s/sLh2NeWTN7RYcyTsYIfTYQBW7DcnlEIoyXTsgaVFsjlrnyIUSiKkxLWkEes/Sy8sL4jSJsbJOMjYBqzNl30iAnK2SueAnp6ehhRhFEXcdcuPufjyF2Av4dq/ZnSUQ0ePUvFMRVu0uEhUrhDOzTe8r1QqEUVRS4rQNJUX5CyztizOG/Yo12XeV29gLKQkEhIWFxFEaMdpBVjDwzA93Vg0hTFxnZyZQcRjW4/X2uQ0603B6PikhsPj4wghWLFihSEURG1cSylib8koFbkvVUUIppIQYKivj7GxsQa7DNuSCK1ZKBr2qS9uUq4shWspRBji6RKuVkjXSc8z0sYUt+KHlL2Q3o5nl8X4RcRzFmBZKcCqAyl1HlhQ62rfNzDI/ff8nNnjU7z//e8HQGbNbjgqldBBY6uMjNVYSVgNq0Yn1GbyqJ/cpMAArPvvhx/+EN7xDmjjEK3Sh7l27gtV095mKcACYOezoG1E1WNxcgxHgDUwUFsk/QqWEq22CTHASlKEruu2rSIMtU5FnAZgLQ0eqktUENZH3rVY9IL2Ytw6BivyfFzl4MXN6HqfZXrQnHvY4m7em3fo73BaFiBb2YyuNB44BxJB9jOMBGBt3GAA1tMJ3eu9sOaq8wgR0e12P+PjCSFwXRevWqIaGNDfLkWotUkPNgO31ETXyeKFXrpA2uoEBQTKFIlEdWAnmYg3rDfX3U6DlcRVV13FnaWY2o/Tg1ADNz39Pa2LCbHQPWzPYAEM54drfT0BbJsut4tKWKEa+6gJSzG+OM6OqR04OXPvtVdK54sGgCU0lrTTdE0SrnIpOIX0mNlslr6+Pg4fPsxgwUUI2lZXtVyPEByfnmppbN3MYH3xi18E4NyY6WsXWVuhbYdqycxLWmtmSv6Smk0wv5kUoOtShMmYTqrNRMx+P37uWSBqLV6SSPRXlrSwRI3BAgOIp6anGRgYSFmlJQFWIsFIxemN48YYJAfMljwm5iscnS03MOheGJFr6hXrWmaOmi37ZB2JlCKdA3p6ehoYrHvvvZfjU5NcduWLl7xfq0dXEkURR48cNinyxUVzbk1pqsRbrV7kDrVNf8K0lopm85YpdKSFRvURCgXlkun46zqtrO7QkBnYTT1+V69ezdjkJEHcCijpQ8jAYMP4T8Z4p92JDkIOHTvG8PAwjmM2sMKyGzR9lpJ1DJY2fnhLMlgdIGCwuxvf95merm1UrbgH5nxxkUJ3oQHQZlwbogg/8nBDiXCcNJ0ZYnpFzpTMPNeT+1+A9UsLu02areKHOFZjVZtjSXrjDvabt5yeusQK10VIgS6X415ktUnIVW6DBmspiwZoBFhKCtiwAebmzGr3zncuef6WEg1VkMVKkHaJXyoyWZcIi7BcxZsYw83nUIVCKuZ1dZUty7ta/Vssk66LYod6N+PWGCzdmCJMcu6mN9XS4KGSemAtDQg7XOO+PF82g7i+KbSIj6+1RvvGF8qXRgiftDl6pqG1sRRonqC6sjYbhjrbskUb1hkNT+IF9Uxjz549uK7Lqrhdy9OlCOvLpWcqM9hKpYv3Mw3XzRH5VRZj/c1SDFY7JiMFWHaWUIcpG9sMRutDKGVSPXUNnxOA9bKXXcWrXvUqTj1Bw94XvehF3KsUP9+6Fd7ylvTvKYPVzmgUTpgiXCqSezlfngWgoj0OFQ9RCkqMhQbAzM3NtZzD4OAgvgJbWm09opZ1LKM/209vxugbR0ZGOHz4MK6lGCpk6DwBsKmPiYmJJQHW+Pg4jz32GJ/5zGd4+9vf3tAbtTkytjKGjLEf2kzJxwuilFFrF9r3TUNgWZ8ibOyQkFQS/nTYAK16BqtefwU0pAjNH2ymjh9P2+QAbYFzgwQjtVdo/J0Pz5R5+NAcjx8rsmdykQPTJY7O1ja5XhCRjSvxEhbWtY0XVtkLybvGHiEZ693d3Q0M1nXXXYdSigsuafT4qo+1qw0re/jgfsNgxZuEqFJpeF/SNSOZdxNgVZ+ey6gMpfnjpgVUJkPOsVoBlqUQUYQQIcJxWsfEEl5Yq1atQmvNsTHj7agnJgh6enHcRkCSzD0dTgeEAYfHxhitM1dN3OSTsOIqPh2YKkJlPc0ckc8zFIPM+jSho6QBWPML9PT1NLBbbsYmDDx0WMEVDiIGe45yCLSx55le8Mg66oRkw39XPHcBVrxA1y9wZS9s+VEcS9LbbwDWW975W+kAFEIgsjnC4gLoxjRBC8AKKw3Nc+ujnkKVMk4RArz0pbBy5ZLnnxiUgplsyl5I4WlsCVxLYmU6qE7NES3Ok4nFg8lOqrS4mKYD60PGzaOjmAFxMg62SoxGa++LdG2RduIUYXO7lCSqfoQQNOqqmiLZXU8tmOM2vDdJmYQh2vexlYO2oTvX3rPnRJGwMicCDc1x/snGquH/BWCtXbsW21JYSqRu0odnSjxw4HhDeyBoLJeeqczQnelqrz86QeSyOcKwSik2Bmx3nWFsjtj6QpwijD12Fv1FlFAnPAcRM1iEYbrgJhPx5lNO5tvf/jbZbPvxAGZxO++SS3hHtdowBsbHx3EcJ03dtRzXsiAM2r62VOTsHLa0mSvNoNEcWjyCkoqNPRuxXRvHdTg+WxOTT0xMkMlkyOayRI7CEnZbgFVwCqzpWpM+i6Ojoxw+bHqYrunPs2HomRUpTE5OtjS2LhQKuK7LsWPH+D//5/9QKBT4y7/8yxN+j5ICO+NQrXjoKGJ8voJjSXpyS88ZhsES6Lo2LX6gEaIGBqxf/3X+pquL+5I0Ux2ASvRXHY5JB1nSaujTKmyL6ZmZBoDVbuxqP0glGAmL3cxgzVd8co7ilBUFtq7spjfvMFGsGH/B0Bhq5pzGFGH95i7r0PBM1zNYQRDw9a9/nXPOv5DOru6W84vitlAJK3v4wH7jyRQDLF2pNDrGxwArmXdlXBRTr4XL23kq87PIWIqSdWSDBgvAiy1JpGNj2W3YmiXc3JPzPBL31DV9CAdavLsSzXBe5dCR5tDRo6ysG4/CsRtS8ummOgyIpGxbsFAfqqOjLcCSUqB0xHxxgd7+noa1NOs6eGEZFYa4ykl7NLrKTfsRFivBCZ/r/854zgKs5KGuT7NV/FaA5VqK513+Ql79prfw4pe/qvE7clmikqGBhdXIYEU6wg/91BPrmTBYMjE9zOWMsegJQkmR7iaLcWPkwtMwN66lEG4Or+QREJKLDdySgZ5Q1+1iuCtDJjbpc9xavj9sYrBUHYOl9dJeWJVY4H4iMJQI3ecrJlVRX22TpAh1GKE94wu1criTZd3PTtwOtUXh2QCXrkIX/f39zxpg7d27NxW4O0qyWA3YeWyeQ8fLeIFuaA8EJmViS5vZyiyVwKMv09Pua08YuUyGyK9S9qumOXW7RWwJ7x4dBCBMNSKYgo12DFh9iEwGJRWiXK0tLIlX3BL6leZ4+ctfzs6dO9OUKsQmowNLCNwxwE4Hzw5gARTcAsXKLDOVGRbDMqOdo3S5XWzq2URHZwcHJg6kmsqJiQnDXmkfbVtYyjpho+ckEgbr2cbk5GQLgyWEYHh4mC9/+cvccccd/OVf/mXay+9E4WQzeEFIebHMbMlnsNM94fjTfmBaedXZNHhh1Fi88eIX8+PzzuPJJ0wP1XqRe6K/Sipek+cmGW/Csp4Rg0VQyxCYOaPVzb3khXRmLAoZm4ytWNadwQ81UwvVdBOdc8wcXANYMUhUAtvSDc91PcD67ne/y4EDB/iVt7+z7Xz2yJE5Dh0vMzoygqUURw8dROiQqFxBuo4x5KzWQEIzwAJYP9DB8jrPvKyVJSgvEsbu9VnHaqkknPeNXsnKthG4Qw1gtWGwAA4dNS2rxGRsMtpUlNOf7WdT7yYclNkEHjvWyGBZVoO+y5Iy9cHSQrbfsNWFyGYZ6jEMb0sloYiYL87TM9DbUDDmuja+X0L5Ia6VSceeoxyCup6t3f8D0oPwHAZYYCjNBKT4oWnm3GxR4FiStZtP5Q8/+RlymcYfTWazxAbFLRosMMxVosVqV0EIZrJMQJYSwrSxKBYbtCftwq7rBThfNq088icQuCfXIlwXP4BqIUc2ayYc27ZxXTcd+O1iWVeWbKxxcl23jsFqShHGT1QqxF9C6F5uA2abIxG6a23Sg/WLQZIiJApNitDJYttWwyB7ppH2IXwWDBaYneCzAVhaa/bs2ZMCLFtJipWAxWrIaK8BMO0mcFvZzFUX0Bp6s88eYGWzOdARxfLikv0Lw6i9yWiif0k+lzS4PlEIpRDZLGKxXGOwgsA4vD/NrjaJpBT+h0k7Gwy46evva7+YACjLAO4lWNOlosvpIgwDJksTFHI99GcNWMnZOXq6eyjOF9Ny9b1797J8+XIDuBx7yRRhc4yMjDA5OUmlKV10ovB9Y+zYDLDACN0nJyc5//zzefvb3/6Mvi+Tz+CHEZPTC3FfwxN7qZkUoWhJETpNC/FJJ53E7id2m0bHdSnColckZ+VS4NIMsEJgZn6e/v7+9HNtwX+dBisxgK5PEbbrwVrI2HS4FsfmKqnOMWNbSCEbNFhCGClApKOG8d/d3c38/DxhGPKZz3yGtWvX8vwXvbTF3FnHourJhQrKcRgdHubIwf1YMaBSsQVO2vWD9gCrJ+80VIBnAokII6qOuR+5eK4sxSxWFGmKoZFRhI7VftOxBIM1MjKClJIj42MQBsjJSby+/pbf1ZIWBaeADkPueughyuVyg5FtS4pQmV6AOggIT1BBmITM5RiONwbNlYSDOZvZ+Xl6+3sb9Myua5O1A7oso+lrZrAiHWGpZ19F/ouK5zTAspWhXY/OlnlizDz0LQArfui8IGp5YGRdmqOewapP6yToeymABZA81+na8wwWIcNgxQCrElDIPn1qzLUk2s0QRYqwt6PhegqFwgkBFpAuDo5r8v1KigYNVnOKEJbuR1jxo2eUI08mzZZUYiJyjyK07+O6psy7XZuip4tkcn+2qbdnC7B27NjB4uJiqpXpydt0ZW1OXdHF8rhfYbvCAEc6BKEma3WklVDPJlwnh5KChfLckuxT/W/XEGFoOhTI2nGfSZNpq7MApXJqhlnvFfdMYu3atWzYsIEf/ehH6d/SRs9LjI9UB/ksWayCW4AwQgrJqq41Da91d3VTWihRDsosLi5yzz33cNFFFxkWxHGWTBE2x0jsYn8kbnT9TCIR/rYDWMuWLUMpxec///mnTcUkkclmCELN5OwCPTnnhPpH/n/tvXmwJGd55vu8Xy6119mX7j69SWpJSAIJ09oQmyVkCS67TSDHxcOAAwLC15frMXHHshygmAgTDmbmLhEsEQrGMGE7kMHCiLnGRjLCEoIBCdCGADWSWi31evqc02erPTO/+0fml5VZlVmVdarO0l3vL0Kh7tpO9ncqv3zyXZ4XrmeWZugISoqG7fgF7orLL78cpVIJZ0+dbTqQS4lSo+SnB4Hm90a9ZrlUgpTS7SKUMrrA3XEgbSecIWixalBR39aC/dmRNCp1G/Nrnr2M5kaDVQSLiHBwMoc9o5k2mxZli/Hggw/iRz/6ET75yU8iZeih/c79t7jzQeuWxLpN2LdrN04dPwbyZqPqXgecDAjrKIHVSrrh/pyq99VSpRuqk3CtasEWGvIpHU5Ki77pyOeBXK4tgmUYBvbs2oVXTp92z++zZ0NjclpxGhY+/YXPY/euXfhgwKnfH5djKfsXz5rHtuGQ6OoFJjIZ5DIZFPL5NoE1YkicW1nBxNSEb3PkvklgLONgwtsHKWCPJATBchoYzRg9l4lsFkMtsExdoFSzcWyxDNuR2DOaaSuQDubFWx29KTCDrbUGC3AFVs2qgUChC1Qrmve53b6QQQzNHWxZt5xE9VeAlxadGEfjkkNwWjrtCoVCxxQhAFS8uzAzrQRWuw9WMEUIRM8jrFtuTUSn+itFPqVSAy2z54jcNmFPYBmZLDTSwidjQvwUYVxkJIYDBw7g2LFjbY7lcdx7770QQuDd7343ADcqeMXuIjKm220THPUQxNRM2I6DvDECo0PXZRxmKgtdEGqVWmyUznZkm8ko4KUIvQG0an06dhB6aIU8yHZglV3rD7cRpLe6iNtuuw3f//73fWEfN4dQoTysek0TGsLArvQ0duV2wzTDN0IjIyMor5VRs2t49NFH0Wg0cMstt6Bu1yGLeWT3H3A7orqgBFYvaUJlaholsO6880587Wtfw9VXX53489JexNqqVDHTJXoFeDVYphk6xxutKULAHxvz0vMv+am+ilWBI53QyKLWCNaCZ18wOTbmNpnEFbgDvlM/4BanByNY5boNomaURzGRM2HqAoteDWerwAKAmWIauZTeZjSsBNZnPvMZFItFfPjDH/aHCQcJnq/nag4O7N6Nk68cA5UrIEOHyOVAhg6n0pvA0qoNaJqOst4cTq0J8gXWcqUOoevusetafNp+djbSC2v/vn14+fRp6LUKtOVzIQ+sVu6//1t47Be/wGfuvDM0d7TVC0v3zLudhgUZMyYnCGmuzcJMxLics56p8MzUTChF6BBQq1WQcdzIsYqIm5rpZqRkfcekB4EhF1h7x7K4eDqH39o/iqv3jmLfRLatrTRoDdDq6C1MszlaI3DxECRgaiZqVg0Vu4K0nu6oqJUoifMMiXyPd7KveB123ToIFSnTgJYbgRB2KJVSKBQSR7BSqZQ/GDkcwULIpgGITnlVrbAdRidiI1hotuXLeh1kGBhNjeJc9Vxbq3g3/MGqCSIzQQ4cOIBareZ3lnVCSomvfe1ruOWWW9qKlhUqxN6KazYqkdOLbWH8JJhmBrom0GjYseJIyujxHtKyQx5vQMIIljdvTJksblRgVSoVPProo5BS4syZM7EeWAACdXm9j1KZyUwhb+bbUpgjIyNYX1tH1arie9/7HgzDwBve8AbU7Tp0w0Rqz1yiu2VVu9KLwAp2LLZy/fXX4/3vf3/izwKAbDYFaZpINaqJOm3V78ydByy94dCy7Tuo0kbHnj/mn3vKoDJoiOsLLK+pZGnV7c6cGB2FI53odYyo3XO9sJpTEEp1Cxmj3RJAiOY0BVN3PaaUm3wrrT54alzOY489ho9+9KMoFAoQwq0rDQlOR5m1Es7VHeyZncXyuSVUzi35BeoinYasdk4RtuKUy8jkR1HxIvJEhIyh+Z2E58oNFEbzbo1c2og/J2ZmIt3c9+/bh5dPnUJqyRUycQLLsiz8xX/6T7h0/wH8+3/370LPtQksb/0b1SpsTe8qsACAMlnMTky0Cyw1MWFmOlTkvmqvQzo28pQK1T6mtBTShoaLp01MFbzRVD1eBzaDoRZYGVPDdCHdMVQe3EyMqMGVmQzIaE/PpTXXC6tm1SJnEIY+QyCxN45/LN5xLZVcU7t8wrZvUxfQhQlTJ38EC7DBFCER7NYuQlICy/1/lM9T1Td0TSCwTA37J7KYyEXccQvhR7DIMDCVnYItbb9eJikbKXIHmt04SdKEP/3pT/Hiiy/i93//92NfYwgRaW0xlZnC/sIhpLTo2YbdME33fU6jERv9sQO/uyCyUfdTb0pYJRJYmRykrsFe9wSWZYWiEEl4y1veAsMw8N3vfhfr6+uoVqsYm4j2wAICF+ENFLr7/lla+LOLxSLWV9fRcBr41+/9K2688UbkcjnUnXrHqHQre/a4thyDimBthLSuQRQKmKRGshRKowHN8/hyJLyuYLR9B6enpzE6Oopjzx/zxdN6Yx260EOlESp66kewvCJyJbA6RbBaU4RAs5OwVLORS0V/J6YLKWiCYKph4C2djIB7IZaQoeiuimAJIfDHf/zH3nvJe30gau9FsKYLaTRIw9S4+7s6fuyoL7AonQlZNah9Nm5uJAA4pTLSxTFU7aovFDKmhkrD8o00R6fGkH3tNbBSenz9aEwE68CBAzh59iy0efe54JicIF/96lfx69/8Bnd/4hPQW2ZlRo7LsS3YDQuOmUqUkRHZDGbGxtoEljLR3T2zGw2n4X9nlmrLMKEjK82Q/5w6Fw29uX++sPICXlh+AdvJUAusJAhBzZl0EQJIGx+H5t3tBDE1063BsqtI6Z3D8bronq9u+7nesSyX6yikk1sTpHQBQ7ih86DbfNIIFhHBMA0ItNdgBb2UiCg2IqMsGjqZjCqICLtHM5HjPEjTIOt13yajYBaQ0TOYr3SPKAWxHRsEir8LjKEXgXXvvffCMAy8973vjX1Na1erQhMaUiIHQd2HyEZiGMgYJmA5WK1EF4A7UkZ/hyzL30h7iWAREZDLwlrzXNIbFqiH+rGG08AZ6wxuesNN+O53v+tHc0YnR2N/T9RHBEs6DkAIjcoBmhGslXMrePKJJ3HLLa4PUsNuJEqVKnK5HMbGxvDKK68kfs+gBZYQhFdfugfjpoAT6GoD3Itk9cgROPXmniAtyx9ibTsy4IEV/p4QEV71qlfhpedf8sVAqV5qG+ekCQ0E8gXOguczNTEyAlvasQXuQIvA8s1G3fFRdcuJHRFmaAIHJrN+JMvQ3AhWMHqvIthRKcLf/d3f9bvu1B4dFcGayJvQDAMjo56L/5kzzQhWJg3ZsHwhsrq6inw+H1s7J+t1yEYD2YJbIF+23HqurKmhbrmdkYBrpCkNd2RO7M1hTARr34EDsG0b9WeeAgDUp2fbhHO5XMbdd9+N61/3OrzzzW9ui+76AkuN0xICqNVgOxK20W7QHIXIZDA7ORnqInQqFZydd7/7e2bdG5OqVUW5UUZZ1jBqjkDWav53E4DvhaWuaSu1FazUVkIp6u2ABVYCmnc/7ctlzM4i5ZntBUlraV91x3lgKTTRLHRPivLxcmR3e4YgKUNAJwOmpoVCr0lqsKrVKlJpt7VbeEWMarNxvGLPYBTO0ETkPMJKAouGRJDwi0dVuHgqM4Vyo4xSo5T4YyxpdbUeiEJtvN0EluM4+Pu//3u87W1v81MPURgaxbrfu8XFGztdSdMwmk4jK4DTy43In+FEGI1Ky4J0pH9x8wVWkhos0iBzaTjVGqTnB9RLivDk+kksVZfwxpvfiGeeeQZPPPEEAHSOYG2wBguAKyS19s8dGRnB2uoafvbDn0FKiZtvvhkAeo5gAb1bNZw4cQKGYWDc60QbBIY3osRpuZmylpZgn1uG5V2MpW1D2g6EJ1wcGRBYEd/Dyy+/HEePHIUtbTScBqp2NXJeZtBsdFFFsIojrkhIHMFqemGVvVmluRiBBbjRJZU2CnbD+v/2iAj2oUOH8IEPfAB33323/5g6P4LWNOqGyNQExkYymBp307knzpwORLC8YcTeXhUc9ByF8s/KFj2B1XD/rkoqzqxWkTYE0obmC9rY+tHZWWBpCaiHu6sPetes9I8fhZ3OoHzVa0JjcqSU+NSnPoUTJ07gL//sTnevbo1A63poXI6mEaha9QRWKlHJi8hmMTsxifX1dayvu2lle3UNZ5fd78bcLrd2sWpXcbZyFiQ0FFNFt/GhxR5F+U9KKXF87ThMzYwc/L6VsMBKgLpjajVi6/ieQNSqW4pwppjG3vFsx9e0EqwH66UldSxrYvdo3hsT0dxkkkawUmn33yVIQIimk7vadIInlS4o0qk8ym9sI5Am4HjDa9XFeyIzAUEC8+XkUSzbsXsucAeAfD6fyAvr0UcfxYkTJ3DHHXd0fJ0uRKxvWN1qr31JCmkaDD2F6bwBQODYYrv4dF34w4/JlvoX9T1OIiyICDKbgSMd2F6konWkTBzlRtn//b3xFnew7t/+7d8C6BzB8i8AGxBY0nEiu3dHRkYgpcTD330Y2VwW1113HRzpwHIsX3AmpVeB9dJLL2H//v3+YPVBQNksSBNtA4jV78haWPAijt5F04s6OlKG5hC2cvnll2NhfgHnls/5giBntkcPgjVQC0tLyGezSOuaG8FCtMkogNDF3dSaXljrash9TIow6ucDCEXvVVozuAek02nce++9ofmOWkSK0LLd5hBdE5jMpzExOQVN09y5fV6XuT9WzWsS6iaw7HX3/MwUxqAL3Y9gqU7CuiX9MTBdO6CVVUNLnegBb+j65DNPYe3wDdAz4TrhP//zP8eXvvQlfOpTn8Ibrz3szoKk9shlcFyOLghUr8GWEo6ZimyaaYXSacxMulE/lSZ01laxsLICXdcxM+Eef6lRwmJlEaPZcT8d2iqwVNZosbqIslXGXH6u56zEoGGBlQC1ofSSngkai3ZLERbSRuxw4DjU3UYv9VeAW/d06fQITN0IRbCS1mClUikQyPXvCkSw1P+D1yg3ghVR5N5wEhW4dyVw4VEiQBc6xtPjWKouRRazRtHaQdQLSawa7r33XmSzWbzrXe/q+DqVIozycYrq3uoFw0ghBWDvaAFn1+o4VwqkgqQ7JLs1Td0aPRhPj+PVk69OHMFC1vP2Orcc+pxuvLz2MnThehYduuIQZmdnfT+suDmEgOuNRprYUIoQth0ZwVLjTB598FFce+O1MM1mGmIrBFanmY0bgYgg8nk4602RLW0bzuoqRDoFWW/AWV1tCqxQitD9XkZ9D1Un4QtHXvAL3HN6u8AKRrAWFhYwMTrqRkpldARLmYyGPPACXljlmoWUIRKfG8EOb4WKAnVLfUcJrIbj+CnTkYwBM5PG9MQkji8sNKd+qLFqgQiW+l61Im0b1vwZaCNFkK4jq2d9gZU2mp15o55TuZ/e7FSDBbTVYe3duxfTAKbOzmPlxjeGRPNnP/tZ/NVf/RU+/vGP43Of+xyk7bTVJiqCXli6IKBWRUM3AYofIh56vxDYtXs3gKbAslfXsLC+jqkpV6ymtTTOls/CljYmcs10eZvAEiYaTgPH144jZ+T8oevbCQusBGRMDYKiN5Y41ImsC73n7rQkKIHVS/1VEFMzQ0XuhUIBpVIJdoeLkxJY6q5ACILaa5yICJYRMY+wadEwAIEV3HQDJ9t0dhqOdLBYWYx6VxutHUS90E1gWZaFb3zjG3jnO9/ZsagVaH6/GhGi1BVYG0+pptN5CNvB/vEisqaGFxdKzfSu9+NamyxaI1hE1NHPLYggN+/tZEx/6G2SFOFSdQlr9TXsye+BKUzY0sZtt90GyxN7YxNjne9KN+jmLp3oi4gay7O2soZr33gtAPjnTa/n9d69e3HmzBnU68nMcI8ePTpwgQUAIl+AUyn762SvrkI6Esa+fSBdc6NY3u9eePPpHMe1XNFE9IVTdRK+cOQFrNfXkdWzkedUnMCypd110HMQ5YVVqtsd04Nt74sSWAl98LSIGizLln7piBCEYi6DXVMzOD7frHsiIrfQvdI9RWjNz0M2LBheU0RWz6LSqPg3XVnTFVnKlqdrg06Mm3s6ncZ7vWNYufENfnbmC1/4Au666y588IMfxBe+8AVv5FX07wDwxuUEbBpEvYaGd+ORNCCx27MwOXXqFBxvtu/ZlRW/ezatpyEhkdbSyKebwjQqRQi46d+9hb3YCbDASsB0IYWr9472FMHShQ5d6LEjcvpF1wSypoaJXG930QpTmG1F7gD8PHgUlUoFqXRTYGkBmwa16WgtNVit8wiVRUMSD6xuqIhDq0N4zsgha2RxtnI27q0hLGn17OKuUF5Yce7h3/ve97CwsNA1PQg0RXOrKFXt8f1EsEZy47iseAimbuCiqRzqloNTK27KIkocA830TK/2CgpBwh375NHtc2zHxsurLyOrZzGVmfI7vm677TYAbuu8YRqd5yDq+sZqsGIiWMG5h6+96bWQUvYVwQKSmY2Wy2XMz8/j4MGDXV/bK1ohD0j4wtdeXgZpAtrICLTxcdhLS360RU81U4SdRP7BgwdhmiZe/M2LKDVKscXFutD9lNzCwgImxsf9CFY3F/cgKcM1ia7UbWS7TLAI/duFBkOEo/dJffDU3hZs7GnYTqh0ZNdkHpfM7cYrLV1xItO0aogTWNK20Th1GtpIEZr3fMbIQEL6/n4zxTTmxjL+zZAvDjvVYAGRnYS3GwbWNA2lK17jZhssC3fddRduvfVWfOUrX/GL8KVtx5pfuxEs93yQUkJr1N0IFpL7Ou725huePHECtlcHfGZhwW/uUDd1U9mp0DkalSIEgLHUmD+eabthgZUAItpQxGUyPYnx9OAKVFu5eu8opou9pRYVKS0VKbA6pQnbIlihInf3NcEoSNQ8wmo9uUVDV7yTPurCPZ2ZRsWqYLXeuXAf8Gqw+ohgVatVv624le985zvIZDK4/fbbu36WHhPB8mtfNljkDgDQNAjvl1TwxogoDzU/vRtTg4U+BJaTc7+fJChSwAQ5Uz6DhtPAvuI+t1vVq9e59dZbQUT+HW2nCJY78HkDXYQxFxElsMYnxnHxqy5Gw2n4tYsbKXIHklk1HDt2DAA2J4KVywEEd1A9XIElikWQENCnpiAdCcur2RGeRYft1WDFiXxd13Hw4oM4+hu30D3o4B56nRfBklJiYWEBUxMTkA0r0qbBqdXgrK35tUxBUnqz/KDVwb0bqhhaoQRWtzIBzb8BCndOB9fESKVwYPcunDh1Co3AGBlKZ+DUapCOEyuwrLNnXdNkL3oFwBeqKk04VUhh92hzPfwi9x4jWABwQ7WK/2kYgK7D1AQef/xxrKys4GMf+xj0gKh1vfBiIliG4dc8ynodGgE1zzcvaUBiYvdumIaBU8ePw1ldxYmlRfzsiSdw/fXXAwBGUiPI6llMZiabN9WG3tbVmDfymMpMYV9xX9vP2C5YYG0ie4t7MZub3e7DiMTU3PSL2lxUTUA3gaU8sAD3eiSl24EWVeTum42GBmont2joRvNkaxcAE5kJ6ELHmVK08FFIKWHLjRW5A92tGh555BHceOONSKe7C2E/gtXSGGB1qH1JCulGKLJTzOjuuA2v+xOI8GGLqH/phZDA6iLSLMfC6dJpjKZGQ8OBG04Dk5OTuOGGG7B3nxv27/i70jRIa/A1WG988xshhEDFqqDu1KGR1rMo70Vgqe/TZggs0nWITBbO+hqcUgmy3vCtZrR8HiKThlNz/c80v1vZMxntcN5ecukleOl597hjI1jKC0taWFhYwOTEBGA1Im0aGl6kz/BqdIIEvQt7iWAB7QIraQ2mH8EKpggdJ9R9R6aBfbt2wXGcUKRSZNKAdEfmRAks6ThonDwVil6pYwXCRflBukawMhmgWGyPYB07htlyGf9Sr8O2bRg64YEHHoAQwu+Ubf6Q6A5bIDwuR1Yq0AioezWaSY2ztWwWMxMTOHXiBOy1NXzln/4JUkp89KMfBQAUzSKunLzS/R35e377zY0mNBwYOdBzZHkzYYE1pKgvoTpx1QnfyapBdRH6KcJAyDwyRehtzsFOwqrldhAOZFaUimCZ7SeUIIHJzCSWa8uhzbSVKA+cXugksM6dO4ennnoKb37zmxN9lko1tHYSqvb4XrpYWyFdC3XXjWQMSAmsVRuR4hjofX5gKwIC0vCGIXcRWGfKZ2BLG3vyzbv3oGfRN7/5TXzxy190P7dLBEtajdjno5BSxqaidu3ahVQqhXe9021QqFpV1O36hlL/vQiso0ePAtgcgQW4aUJnfd3vHtQD9iG6N4CXDCMgKro3Wlx2+WU48dIJOA0ntnNanWfrZbctf3JiAo4qqA+IBKdchrWwAH16GiLVvtaqs9vQes8upHQ3eq/G+rTOIeyEroXH5TQCNVgAYMzM4OLrrgMAvPzyy/7jImDVECWw3NqrRpuYFCQizVH99yVJb0Z5YX3/+wCABx0Hi/NnYGgCDzzwAA4fPtxmC9KtyB1w9wqnVnO9Eb1xUwlHZIJSKVdgHT+OeqWKr37jG3j729/u2+CEXtthz9+JsMAaUlR6o1VgdY1gpc1QDRbgpg9UXUIw766Ghwbd3F2LhsF87ahDihAAZrJueHy+FG/ZkDQ9EEcnL6wf/vCHkFLiTW96U6LPUoK01aeqU3t8UkjX3TvNQJqQCFipNCJ/d8DGxtsEEULAgQNjzx4YMeOBAPd3cKZ0BqOpUWSNZs1W0Pl7dnYWUzNuTUani8lGUoSyXHY9nyKaEMbGxvDyyy/jwx/6MAQJ1Owa6k69J5NRRaFQwMjISOIIViqVwuzs5kTART4PaTtonJl35+UFLlhaQGCp74TlOLBs2bHR4rLLLoNt21g8vhh7A6XOszNeEfjk5CRs2wIcJySc68ePu/YiEdEroBkBjzMY7URrVMhykvvgCWqaJ1u2AynDNz5kGLjI66hUaV6g6YVVX11FtVoNCSwpJRqnTkErFqBFdBcawugYwdKoyw1rlJv7Qw+hVijgWQCnjx9DpbSGn/zkJ/id3/mdiB/Socjde1w2Gm4Ey9D9m6mkKUIiwuzMDE6dOYN/euQRnJ6fxyc+8YnoF6sIVkLLl+2GBdaQ4m8yTo8CK2X6fjXqpHac6CL3tK4hZQicXqn6ReDVhoN0h9FEPdEhRQi4Ubqx1BjOVs7GzqXqGmLvQj6fx8TERKTAevjhh2Gapl9L0I24gc9KoPaVIlR3mp6DtyYIhbSO1Yrlpzxa7zjjojpJERBwpANjZhp6Bzfy+fI8bGljdz58MVUiRt29q99VxwiWYUDaTrN+LAG219ghYjq7pqen3TpMLY2KVUHDbvRcf6WYm5tL5OauPLDi3L77Rf1bZaPRNolCmCaMXbPQxsb9urxqo7vIv+TQJQCA+Vfib2iUkJk/675mcnra3RusZhehvb4O+9wyjNnZDue2gK5R4hmsQVo7CS2ZPIIVnF6hhFZrZFnNnQwJLG+w8cqi29kcFFjO6ipkvQFd1Uu10DqgOogtE9SPtkawpAQeegiVw9dCAsDqPH72Px+FbdttAks6jms23KHIHfAiWNUq9HSzPqyX6SS7ZmdxemEBf33/t7Bv377YmlW1jlqCAes7ARZYQ4ra6NQm00sNltqMgs7GUYXSQhD2jmWxXrNwdr02WIsGJAsXz+RmYEsbi9Voy4aNziEMEmfV8PDDD+O6665DJqJINw49wtqiZjkw9WS+MnGo6IwT6BItpg2s1yxfwA08gkXCT8PEEay9aq3baXXdVp/VMYKlUjG1ZFYIgLsmZBiRqaggad0TWE5jw3UeSb2wNsMDK4hIpfzfrTY60va8uW8fjBlXWGqC/PmhnUT+3G43BVpeLse+plVgTU27lipBgdV45RWQYUDvEL0jIrx6zwj2jCY/txStAst2kvvg6aKZIvSd7VvERyaTwfT0dEhgAe5g41VP6AQFlrW45HZxxkx5MLQOAsuxu3dAz86GBdZvfgOcOIHUW92xTwunXsEDDzyAfD6PG264IfxeVVbQqcgdXgSrWoWW3aDA2rMHSysreOgnP8HHPvaxjua6mWuu6XjDtpNggTWkEBFSWsrviEpSg1WpVEJF7ipF6HgpQkFoC1VP5k3kUzpeWaqg7LkuDypF2KmLUFEwC8jq2Vhn96rltqN3c9vvRJTAWltbw89//vPE9VcKQ4i2LsJaw+k4kDwJlMm4Dt4BgTXimRUuVwLDWj2k47jdQ30ILI20rgIrLnoFNC/GrQKrUwRLzSeT9fi6u1actTXXuqALaT3tH8tmC6zN8sAKohULrrDs4s8mqDlYudO4prlZV2CtnYu/SVNi4OyCa6EyOT0NCQewXYFlr67CXl2DsWd3167TtKG1N2YkwBAGCISa5QmsHoyGg53TKtIcVRu5f//+UA0WAOhTk1hZXgHQ3G+l48A+twRtfDw2StQ1RZgkgrW8DKiB0w89BAAwb7sNk2NjeOmll/DAAw/gt3/7t2G0nO/KtDf2d6HG5dRqcGp16AGB1csNofLC0nUdH/nIRxK/b6fDAmuIUaMFgB5ThJ6IUvuB48jQoOcgRIT9k1nULQcvLTYdiQeBKBSgjY12vUDM5GZiLRtKVgmGMPrqPInywvrRj34E27Z7FlhRA59rlt2fRQMCDt6lZnQhb+rQBGG57BmKBn59fsehvrkRrPnyPEZSI5FdZyqCpaKMiVKEXhRK1pIJLKdeh1Orx6YHgwQL2zdqHjw3N4fTp0+HWvhbWV9fx8LCwqZ4YAUx9+9H+opXdW04EYICaer412azWWQyGSwsLMS+Rg189gdZT0+7g8YtGwIC1vw8SNc2NUKhbi6rtlu60EuRuxaIYKkUYVRUb//+/W0RLG1sDKV6eL+1l5chLRv6RLzreNT8RIXtRBu0hlCRwPl5YHER+OIXgbk54NLLsG92Fg//4Ad44YUXIuuvpKoHjStyJwIZhm/5oWeCEazOhxVkt/ddf8973oNdu3Ylf+MOhwXWEBMUWOl0GrqudxVYhmn4m1FwurwjZezdZDFtYDxnolK3B2bRALjRivSll3a90x1Pj4NAWKmutD1XqpdChdUbIcoL65FHHoGmabjxxht7+ixDIzQCKUIpJeqWM5A1E7kcnHLJL3QXXh2WXz8XuNCq+WL9FJN2E1iOdNBwGigY0eKmLYLlFUJ3EgSk6yBD9wfrdkMNPRb57gIrOLR9o4J87969kFLi5MmTsa/ZTA+sIGQYfndbJ0KNK11qwqampnzxFIcudCx4o2QmVATLsgDLgrW0BH1yMjaaMyhUJ2GvXcSaIL/rVqXy9Yh9T0WwgjddRISKdwOQ9yJF9uKi+3uIGZ0DNL9rwdmxikQmyaq265lngJtvBo4cAe65B2To2LdrF37zwgsAEFvgDnSIYMG1THDKrmmtkXPPEU1QT53ir371qzE6Ooo/+ZM/Sfye8wEWWEOMmt2kXJS7DXyuVqswUoZ/4oRrsDr7nuwbz4IIg7No6AFBAjkjh7VGy4Bbx0bVrsZ69iTlIm8y/cMPP+w/9vDDD+Pw4cPI91iMqYvw/MaG7c4J7DdFCLidY0EHb8C1a/CfD/5ePKuDvorcSfgXsCiSdHAGhwMn9SsjMwWZcByNs7YG0gRErrvIDqaR+ylyBzpbNWymB9ZGUOe1oVHXlNzk5GRXgWUIA4uLixgfH4eWSvlF7lg4B0hA79BxOihUBGtDAiuQIiSKToXt27cPlUqlbS3KnlDJ1OvuiKDlZegT4x33xG4RrK4pQhXB+sAH3Pqr//E/gLe9DaTr2Oc9t3//fhw6dKjtrV1ThPBKNLwtS8+450iv/TgHDhzA0tISXv/61/f2xh1OXwKLiN5PRM8SkUNEh1ueu5OIniei54jotv4Ok9kMojoJ42qwLMuCbdtIpVNtESwpEZsiVGRMDQcmctg1svFap37Im3mUGqVQN2HJcoVG3uivI+Xmm2/GNddcg49//ON48cUXUalU8NhjjyW2ZwiifHZUZ1/NM80cRARLiyh0VwKLKGw02jqHcCN0i2AlFVjBGqyu6RC48/OSpgjt9ZJrU5BA9KsxKxsxGVUkEVib7YHVKyqYlKSLdWpqqmOKEHB/30sLS5icnAQRwdEIsCzIhSVoI0WIHppCNkpKS8GRjl+DmThFSOEidz0mUqPsW1rThOtlN0WfrddhnTkD6UhoHdKDQBeBleSmI9id+J3vALfe6v1jNOzzbDDUtIRWZJcidyAwq9Q0/BquXgrc/c/Z4hvvraDfXfsXAN4H4JHgg0R0BYA7AFwJ4HYAXyTaYB88s2lEmY3GRbCqXsolymjUTxF2OUFmR9KY2eBon35RaSglqgCg3PA2uz5ThOl0Gvfddx8A4Pd+7/fwb//2b2g0Gj3XXwEB93tfYLkCJTWI2Y2mCZEyQxGsrKm5kYnWDkKrvzmEQLNWKk5kqQtGJ4EVNFlMHMFKpSBrtdj5kApp23DKpUT1V4qMnumrXi9pBCudTmMmpm1/qxF+BKv7dzBJBEsXOpaWXIEFAFIToOU1oN7YkugV0Ly5VHtAUsGseeO/HEfCcqQ/3qoVJbBaC93V/prLZFE/cQIinepqOdC6TyvUzWLX6NvcHPAf/gPw4IPAW97iP0xEOOh9H29VoqsVLw3aOYLl/nyRyfgF//10PF9I9LVrSyl/JaV8LuKpdwO4V0pZk1IeBfA8gOv6+VnM4FEnbtCqoZvACvpgqXPI7lDkvlNQs9HW683oTalRgqmZGy5YDnLRRRfhb/7mb/DEE0/gD/7gD0BEuOmmm3r+nNaBz77AGpB3mMjlQhEsIsJIxmjrhJKNRqL5gR1/VheB1WuKMGkEi1Jp11S1ixeWs74OSPTkqbO3sBcHigcSv76VYrGIfD7fVWAdOHBgx9zRq/Pa1LsfT68RLACQmgaybGimCW1srP8DToASWKWGe7ORdNi7SpdajvQjWFHERbDU/jq6e7f73ZuY7PozBQlopLVFsBJ7+AkB/Nf/CkTUg771ppvwpc9+Fu973/si3+qPneqWIoTrVq/WYyMRrAuRzarB2gMg6KZ33HusDSL6GBH9lIh+2u3Ohxksqo4kaNUQlyIMCix1t0dEENS0aejDB3PT0YWOjJ7BWr0pIEuNEnJ6f/VXQd7xjnfgL/7iL7C4uIhrrrkGozG+Nh2Ps2Xgc61hw9D688AKIvJ5OLV6qEZp/0QOl820zEazrL6iV8DgBJb6ftoyQccU3BQh0L2TUHU+iR4EVtbIxg4yTgIRYe/evR3NRjfbA6tXeolgTU1NYW1tDbUOa68LHctLy5jwUmPS+1xjZmbLRKUvsLyIdmKbBtU5LaXnbB+9JqOjoygUCm0Ca3V1FYZhIH9gP8g0oE92Tg8qgueBYhAefkYmg3//vveFhjuHsC2Q1qWxRKUI02kQEfSIiPiw0vVbRUT/CiDK8e0uKeX9cW+LeCwyXi+lvAfAPQBw+PDhzjF9ZqBoQoOpmVhvuBeaQqEQu/FXKhUAQCqV8iNY7mcQHIlEKcLtJm/ksVhddFuzpYWaXcNUZrDt4HfffTdOnTrVc/egQrXBq4HPNat/D6wgSkzYpRJ0zzPK1EWbDYRsNPqyaAB6SBF2iB4YmgEJCdux4UgnUXF5yKqhQ/rPKa1DZDN9FfJvhLm5OfzqV7+CbduRhopHjx7Ftddeu6XH1Aml7ZOmCAFgYWEBe/ZE3lODHHIFlicuHF2DJIIxvXUpUVVPp9JuyY1GPbd5P0UYvecREfbt2xcZwSoUCtAKBWRf+9rEx2tqpl8rq+h3CgWgZndasc9L2+4YvQLciDEAiKxbaqGJwd0Qnu90PWOklG+VUl4V8V+cuALciNXewN/nAMT3JTPbxmhqFKv1VTjSSVSDFZxFCLiF0W6KcOfn3fNmHo50ULEqA6u/akXTNHz5y1/GH/7hH27o/WoDD9ZgDaL+SiGyWYDCnYRRyHp/Lu5AsgiWLvSOd8dBqwZb2olGxyiB5VTjoyhSSjhraz1FrwbFBz7wAfzyl7/Epz/96bbnVldXsbS0tOkeWL2gzuukESwAHeuwXj76MqyGhYsvvdh9YHoczoHd0FNbW5+pSiQIlCgyCoRThJbtdLStiDIbjRr0nISocTlJahi7QVp4CHwrScZlafkcMldd6c9R3DuWxew21druNDYrqfNtAHcQUYqIDgI4BOCxTfpZTB+MmCNwpIO1+hqKxWKiFGFIYJE7m8t2dn4Eq2B6Zqr1Nb/2ol+LhkGjahjUGI5aw+5ryHMrpGkQmWyoDisKafUvsNSddUeB1aX2JWg26kgnWZG7ECDT6OjmrgY8axu42PXLRz7yEXz0ox/FZz/7WXz9618PPbdVHli9oM7rJN/DYAQrjl898ysAwJWvuRIAINMpiLHRPo+yd5TtRi8CRemphu3AaRn03EqU2WhfAqslRTiIKRSk674VQySOk6gOM2j2PFVI+VMihp1+bRreS0THAdwI4J+I6LsAIKV8FsDXAfwSwL8A+CMpOxjiMNtGwSy4Jpy1Fb/IPar7yu8iTKVCAkujpsvzTo9gpbQUDGFgvbGOUqOEtJbu6+5vMxCCfDf3uuVu4oOMYAGAyOfglEodu+zcOYT9rY2KTMV5YVnS6rr+oQhWEtdqD+F1EsbRODMPEDoaPG4WRITPf/7zeP3rX48Pf/jDePLJJ/3ndpoHFtC07zASFrkDnSNYzz79LHRDxyWXXYKV2gqWqksDaTTplZTuRjp72QNUhFk1n8QVuQOuwFpaWsJ64GZmwwLLS5UHo1gVqwJTM/uqwYKuQzas2L1AWjag7aw98nyi3y7Cf5RSzkkpU1LKGSnlbYHn/lJKebGU8jIp5T/3f6jMZqAJDQWzgOXaMorFIqSUKEWkj4I2DcEoghDNdNZOF1gAUDSLfgRrp0WvFLpwBz7X7cF2ECq0fB7SsuGUSmicPo3K00+j8otn/eelZQGyP4sGoBnBitu8VYqwE+rCW7frkJCJ602og8ByymVYC2dhzMz4swu3GtM0cd9992FsbAzvec97/K7CneaBBbiRK0GDi2A98/QzOHjpQSzWF3Hk3BFopOHi0YsHdrxJUYXuvdQwqQhWzRt+HWfTALhmo0C4k7CfCBYQdnOvWJXQdIGN4Kf/4qJYXpE7szF45RiMpkZRs2tIZ91Qc1SaMGTTQOEid5XO2ukpQsCtw2o4DTScxsDrrwaFobkDn9UmPqjRQgpVd1R99peoH3vZ9YMqlfzxMr7JaJ/F36oZIjaClUBgqedVMXLSCBalUnDqdX8sUJD6K8dBmgZjd/uA6a1kdnYW3/rWt7C0tIQbbrgBTz31FF566SVks1k/ErQTmMybuGbfaEcxoRgbG4MQomME6+mnnsZlV12GslXGdHYaV0xcsS03O77A6iECpGqw/AhWlxQhEPbCWltzSzF6xR+XEzDdHYjA8tJ/cYXuSYrcmXhYYDEYSY0AALSseyJFFbrHFrlTczjx+RDBCrq279QIlibcNW16YA32NKV0GtrYKPSpKaSvvBLpyy8HANgrrrAehIs70LxwyegGYjScRleBpTyAqnZvjtsilQIk2kbm2CsrsJeXYeza1fe/bxAcPnwYjz76KIgIb3jDG/Cd73xnR3lgAd5w5IRRVE3TMD4+HiuwTp8+jdOnT+P637oel45div3F/f2luPpACaxeUoRqj6t6Nz+ditzVCK0jR474j/UdwfIElqq/yup93iR6N1G+31ULSYrcmXhYYDFI62mktTRE2v06REWwgjYNrQJL0WkW4U4ho2f8i3Tfm9MmoQY+1ywHukaJIge9QERIX3opUhcdhJbPQWQyINOAs+oOw/Zd3PvcWAVUS3v75q08fJLU3gTb6XuJYAFhLywpJeovvwKRMqHPRjnPbA+vec1r8OMf/xgXX3wxnnvuuR2VHtwIncxGn3rqKQDAG69/o39jt10YwoAg0VP9F5FrQVBPEMGanZ3F7t278fjjj/uPDSpFWLHc/bjfCJZKkUc1hEjHcUsFOIK1YViaMgDcNGEngRXqIgzo8mDUKkEH/bZDRCiaRdSd+rbdOXdDDXyuWfbAo1dxaCMjsJeXIaUcWARLiaGoCFYSk1GFLnSULW+kSQ81WIBr1aB513F7cRFOuYzUxReBdtiXdc+ePfjBD36AP/3TP8Vb3/rW7T6cvug0LueJJ54AAFx99dVbeUiREBFeNf4qGFpv33NNAHU1oq9L1P7aa6/1BZaUcsMCSxNayM1dnQ9pvT87BMpkXNuWcgUYb3lSpQ1ZYG0YFlgMAKCYKiJXcFNmXQVWSxeh/+fzIEUIAAdHDsamrXYCauBzpW4ja27NKaoVi7DOLsAplSEb3sY6IIEVVYPlC6wEI0oMYfhWD0l8sAB37iKoeWcuHQeN48chcrmuw3W3i0KhgHvuuWe7D6Nvpqam8NxzURPUgCeffBIHDhzY0JSDzWAjdZiaEADcCQvdUrnXXXcd7r//fiwvL8MwDDiOsyGBBYQjuar+KmlENw4SAiKdhqyU255T9g0cwdo4O+s2jtk2CmYB+aJbn9RJYKW9cQiK4P5yPhS5A+7d4E6zZwiiDB2rDWfrIlhe4a2zugLZqIOMzgagSSAiECjSB6vXCJZ/nEkjWEQhqwZrYQFOrQ5jz+4dVd90IdIpgvXkk0/immuu2doDGjDqpjJJ6l458v/0pz/1a1s3LLC0ptnoIArcFSKTgeOVgATx/bFYYG0YFlgMADfaMDvm1qV0E1hBQilCvnANhGDaYdAeWHGQaUJkM7BXV4EBzCFUaEKLFljSq8FKkJ4JvqaXO3ZKpeDUapCOA+vkSYh8DvoWDRMeZqamprC4uAinpYOzVCrhyJEj573AUkHUbulBwG1iAIDHH3+8b4FlCndcju3YqNv1gQksymThVKvtHbcqgsVF7huGBRbjMzvhCqzlleW256rVKgzDgNEyny4osM6XFOFOJ3hnPEgX925oxSKctTU4tfrANtWuEawEKcLga3rxLCLTjWBZZ93olRkzG48ZLJOTk7BtG8vLy6HHn3nmGUgp8doeZvDtRJTZaKcCd8XY2BgOHTo0EIGl3NwHVeCuENkMIL06rACcIuwfFliMz1h+DIZpYGllqe25arWKVDrVFkEIBq1YYA0GQwtGsLZucxPFIqQj4ZRKg4tgUXQEq+E0QKBEjQYbjWCJdAqyYaFx8gREPgdth9T9XOgoD6/WTkLlWH++R7A0P4KV7Lt47bXX4rHHHhtIilBCYr3hOsMPMkUIoK0OS3KRe9+wwGJ8snoWuXwOS8vtAqtSqbQVuAPNegQWV4MjuHFvVQ0W4NVheb/GQQksQSK2yD1pHdxGarCAgFVDvQFzbi7x+5j+iBuX8+STT2JsbAx79+7djsMaGKoUwkgQwQJcgXXixAnfD6ufCBYArNRWIEj4Pl79Quk0SFB7HZaya2GBtWFYYDE+utCRL+RjU4StHlhAU1jxNIXBoTZuTZBf8L4VkKZB81zeB5UiFCQiR+VYjpXYf0i9jtC9ayuIElhaIQ9tZHs9l4aJuHE5qsD9fG8yaKYIk52b1113HQDgoYceAtBfBAtwh9Wn9fTA1pGIQOn2Qnd7dRUim+EarD7gyyITolAsYMUznAxSrVYjI1hqECwXuA8OInfg81ZGrxSi6AmRHRTBUgKrV98ykclAGynC8GbCMVtDVATLtm08/fTT5316EGgWuRsJo/bXXHMNNE3zBdZGRuW4P889DyTkwNKDCpHNwCk3U4TStuGsrfGNSZ+wwGJCjBRHsL62HpraDngCKx0hsDhFuCnograsgzCIqlMSqcGkHzpFsHpNEfbq+UOahvTll/tROWZrUBGsoMA6cuQIKpXKBSGw1F6XNIKVzWZx1VVXYX5+HkB/XYT+Zw54CoXIZCDrDb/uyl5dhXQkC6w+YYHFhBgpjqC0VkK5ES549FOEiK7B4gjWYLloKo9941s/ykfL55B5zasHtrHGRbCSzCEMYgijp/orZvvIZDLI5XKhFKFycL+wBFbyPU+lCQEgv0HBrwnNv8kYdASLvEJ3lSZ0VlZAmoDYoBhkXFhgMSFGR0ZRWo8WWNEpQvf/HMEaLCMZY8tc3FtRXUUD+SwSbV2EUkrY0u5ZYPXrWs1sHa1moz/84Q+Rz+dxxRVXbONRDYaUroGotwYUZTiay+USTyOIQqUJBx7Byrqfp6wa7JUViEJxx42UOt/g6jUmxOjIqBvBssICa2VlBfmJPHcRMj0RJbB68cBSjKZHB3lYzCbTOvD5kUcewU033QT9AiiYHskYuPbAeE97nhJYG00PKkzNhC3tnucndkOkUiBdg6yU4VSrcKo1mDtoIPr5CstTJkSxWERpvYRSoxR6fHFxEcWxYmwNFqcImSiiBJaq7+slgrUnvwd78mwUer4QjGAtLi7iF7/4Bd70pjdt81ENjl5vKK+88kpkMpm+BdZEegLT2em+PiMONTLHXnGbnLj+qn/O/9sJZqAUi0XUqjWUqqVQIXKswBIEIo5gMdEIEpCQkFL6beVqTM5OngfJ9MfU1BR+/etfAwB+8IMfAMAFJbB6xTAMvO51r0Oj0ej+4g5MZacGdETtUCYD+9w5YHkFIp2CaBmLxvQO73BMCNVCXFp304RFs4hqtYpSqYSRsZHIOpiZYhpj2cGGrJkLA1WY7kjH/7NKESb1wWLOP4IRrEceeQTpdNpPkw0rX/7yl1Hzho/vREQ2C2v+LOyVZRjTmxMlGzZYYDEhVAhbFboXzSIWFxcBIFZgHZzMbekxMucP5FnDO9KBhrDA4gjWhcvU1BRKpRIqlQoeeeQR3HDDDUgNyPrjfOWyyy7b7kPoiN/cIgHB6cGBwDVYTAgVwaqt1/xOQiWwRidGuZOL6QllDuqgWYfFAuvCR3lhvfjii3jiiSeGOj14vqAEFglyx2YxfcM7HBNCCSyravmdhN0iWAwTh/q+2I4NL4AFy7EgSPB36QJGubnff//9cByHBdZ5ABkGyDDc8Tg8f3AgsMBiQvgCq2yhYlVgO3ZIYKmUD8MkQRnTSjTd3HtxcWfOT1QE67777oOu67jhhhu2+YiYJKQuPcSzBwcIryQTQgmsRtntdilb5ZDAYjdtpheUqWLQzb1XF3fm/ENFsH7+85/jxhtvRC7HdZrnAzxWarBwjJ4J0SqwSo2Sbxg4MjYysAnuzHDgR7AC8wgtaXEH4QWOEljAcNszMMMNCywmRLCLMKWlsFZfw+LiIrLZLFLpFEewmJ7wa7ACESxOEV74jI6OQvPqeFhgMcMKCywmhBpEurq6iryZx3pjHYuLixifGAcALkxmekJ9X4Ju7pZjwSCOYF3ICCEwMTEBIQRuuumm7T4chtkW+DaSCSGEQKFQwOrqKgpGAYuVRcwvzGNsfAwAOEXI9ETQaBRwuwkd6XAEawiYmprC3NwcRthTiRlSeJdj2igWi1hbW0PedKNZZxfO+gKLU4RMLyhB7gssL1XIAuvC53Of+5wfEWeYYYR3OaaNYrGI1dVVZPQMDGFgcXERc3vnAHAEi+mN1ggWm4wOD29/+9u3+xAYZlvhghqmDSWwACBv5LG0uITR8VEAHMFiekMJchW5ajhudyoLLIZhLnT6ElhE9J+J6NdE9DQR/SMRjQaeu5OIniei54jotr6PlNkyVA0WAGS0DNZW1lAYdbsLucid6RWNNN+mQY1fYoHFMMyFTr9XywcBXCWlfA2AIwDuBAAiugLAHQCuBHA7gC8ScejjfCEYwbJLNqSUyIxk2MWd2RCCBGxpY6W2guPrx1E0i8jome0+LIZhmE2lL4ElpXxASml5f/0xgDnvz+8GcK+UsialPArgeQDX9fOzmK0jKLDKK27EoTBa8Af3MkwvCBKoWBW8sPwCMnoGF49evN2HxDAMs+kMMt/zEQD/7P15D4BXAs8d9x5jzgNUFyEALC0tAeA5hMzGESRQapQgSODQ2CFODzIMMxR03emI6F8BzEY8dZeU8n7vNXcBsAD8nXpbxOtlxGMgoo8B+BgA7Nu3L8EhM5uNimBJKZtzCMdHuP6K2RCCBAiES0YvQUpLbffhMAzDbAldBZaU8q2dnieiDwF4B4BbZHPg2HEAewMvmwNwMubz7wFwDwAcPnw4UoQxW0uxWITjOCiXy6E5hNxByGyEvYW9kJC+rxrDMMww0G8X4e0A/iOAd0kpy4Gnvg3gDiJKEdFBAIcAPNbPz2K2DjWPcHV11Y9gjY6NsgcWsyEKZgFFs7jdh8EwDLOl9FsM8XkAKQAPehffH0spPy6lfJaIvg7gl3BTh38kZWDaK7OjKRbdi6ESWLquY9fkLq6dYRiGYZiE9HXFlFJe0uG5vwTwl/18PrM9KIG1traGxcVFTExM4NDYoW0+KoZhGIY5f+CQBNNGawRrYmKCC9wZhmEYpgf4qsm0ESWwGIZhGIZJDgsspo2gwFpYWGCBxTAMwzA9wgKLaaO1i5AFFsMwDMP0Bgsspg1OETIMwzBMf7DAYtpIpVIwTRMnT55Eo9HA5OTkdh8SwzAMw5xXsMBiIikWizh69CgAcASLYRiGYXqEBRYTCQsshmEYhtk4LLCYSFhgMQzDMMzGYYHFRFIoFFCtVgGwwGIYhmGYXmGBxUSiOgkBFlgMwzAM0ysssJhIggJrfHx8G4+EYRiGYc4/WGAxkSiBNTo6Cl3nkZUMwzAM0wsssJhIlMDi9CDDMAzD9A4LLCYSFlgMwzAMs3FYYDGRqHmELLAYhmEYpndYYDGRcASLYRiGYTYOCywmEiWweA4hwzAMw/QOCywmEo5gMQzDMMzGYYHFRMICi2EYhmE2DgssJpK5uTnouo5Dhw5t96EwDMMwzHkHO0gykezZswcnT57kGiyGYRiG2QAssJhYpqamtvsQGIZhGOa8hFOEDMMwDMMwA4YFFsMwDMMwzIBhgcUwDMMwDDNgWGAxDMMwDMMMGBZYDMMwDMMwA4YFFsMwDMMwzIBhgcUwDMMwDDNgWGAxDMMwDMMMGBZYDMMwDMMwA4YFFsMwDMMwzIAhKeV2H4MPEZ0FcGwLftQkgIUt+DnnC7weYXg9wvB6hOH1CMPrEYbXI8yFvh77pZSRc+V2lMDaKojop1LKw9t9HDsFXo8wvB5heD3C8HqE4fUIw+sRZpjXg1OEDMMwDMMwA4YFFsMwDMMwzIAZVoF1z3YfwA6D1yMMr0cYXo8wvB5heD3C8HqEGdr1GMoaLIZhGIZhmM1kWCNYDMMwDMMwm8ZQCSwiup2IniOi54noz7b7eLYaItpLRN8nol8R0bNE9Env8XEiepCIfuP9f2y7j3UrISKNiJ4gov/P+/vQrgcRjRLRPxDRr73vyY1Dvh5/4p0rvyCirxFRetjWg4j+mojmiegXgcdi14CI7vT22OeI6LbtOerNI2Y9/rN3zjxNRP9IRKOB54ZuPQLPfYqIJBFNBh67oNcjyNAILCLSAHwBwNsAXAHg94noiu09qi3HAvCnUspXAbgBwB95a/BnAL4npTwE4Hve34eJTwL4VeDvw7we/y+Af5FSXg7garjrMpTrQUR7APzvAA5LKa8CoAG4A8O3Hl8FcHvLY5Fr4O0ndwC40nvPF72990Liq2hfjwcBXCWlfA2AIwDuBIZ6PUBEewHcCuDlwGPDsB4+QyOwAFwH4Hkp5YtSyjqAewG8e5uPaUuRUp6SUv7c+/Ma3IvnHrjr8N+9l/13AO/ZlgPcBohoDsD/AuDLgYeHcj2IqAjgTQD+GwBIKetSymUM6Xp46AAyRKQDyAI4iSFbDynlIwCWWh6OW4N3A7hXSlmTUh4F8DzcvfeCIWo9pJQPSCkt768/BjDn/Xko18Pj/wbwfwIIFnpf8OsRZJgE1h4ArwT+ftx7bCghogMAXgvgJwBmpJSnAFeEAZjexkPbav4fuJuAE3hsWNfjIgBnAXzFS5l+mYhyGNL1kFKeAPBf4N6BnwKwIqV8AEO6Hi3ErQHvs8BHAPyz9+ehXA8ieheAE1LKp1qeGqr1GCaBRRGPDWULJRHlAdwH4P+QUq5u9/FsF0T0DgDzUsqfbfex7BB0AL8F4EtSytcCKOHCT3/F4tUVvRvAQQC7AeSI6IPbe1Q7nqHeZ4noLrilGH+nHop42QW9HkSUBXAXgE9HPR3x2AW7HsMksI4D2Bv4+xzccP9QQUQGXHH1d1LKb3oPnyGiXd7zuwDMb9fxbTE3AXgXEb0EN2V8MxH9LYZ3PY4DOC6l/In393+AK7iGdT3eCuColPKslLIB4JsAXo/hXY8gcWswtPssEX0IwDsA/K+y6X80jOtxMdybkqe8vXUOwM+JaBZDth7DJLAeB3CIiA4SkQm30O7b23xMWwoREdz6ml9JKf+vwFPfBvAh788fAnD/Vh/bdiClvFNKOSelPAD3+/CQlPKDGN71OA3gFSK6zHvoFgC/xJCuB9zU4A1ElPXOnVvg1i0O63oEiVuDbwO4g4hSRHQQwCEAj23D8W0pRHQ7gP8I4F1SynLgqaFbDynlM1LKaSnlAW9vPQ7gt7z9ZajWQ9/uA9gqpJQWEf1vAL4Ltxvor6WUz27zYW01NwH4AwDPENGT3mN/DuCvAHydiP4Q7kXl/dtzeDuGYV6PPwbwd95NyIsAPgz3Rmzo1kNK+RMi+gcAP4eb9nkCrit1HkO0HkT0NQBvATBJRMcBfAYx54iU8lki+jpcYW4B+CMppb0tB75JxKzHnQBSAB50tTh+LKX8+LCuh5Tyv0W9dhjWIwg7uTMMwzAMwwyYYUoRMgzDMAzDbAkssBiGYRiGYQYMCyyGYRiGYZgBwwKLYRiGYRhmwLDAYhiGYRiGGTAssBiGYRiGYQYMCyyGYRiGYZgBwwKLYRiGYRhmwPz/eHGllZrPcm0AAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<Figure size 720x360 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.figure(figsize = (10,5))\n", | |
| "\n", | |
| "for _ in range(4):\n", | |
| " other_params = {'θ': [np.random.randint(0, 10), np.random.randint(0, 10)],\n", | |
| " 'μ': np.random.randint(0,10),\n", | |
| " 'N': len(X)}\n", | |
| " \n", | |
| " plt.plot(build_MA(**other_params), alpha = .25)\n", | |
| "plt.plot(X, color = 'k')\n", | |
| "plt.plot(build_MA(**best_params), color = 'r');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "So we can see that our fitted series is not a perfect fit, but appears to be better than other MA series drawn from the same range of parameters. Specifically, it fit the mean well, but does not capture the full range of variability\n", | |
| "\n", | |
| "Let's now compare this to the values determined by the StatsModel ARIMA model: (Note that we have turned off the AR and I components, so this is just an MA model)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "MA_model = ARIMA(X, order = (0, 0, 3)).fit()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "const 4.581239480213537\n", | |
| "ma.L1 1.4543053015773075\n", | |
| "ma.L2 1.2730782981909827\n", | |
| "ma.L3 0.22278081173291775\n", | |
| "sigma2 23.007098449037898\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "for name, p in zip(MA_model.param_names, MA_model.params):\n", | |
| " print(name, p)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "{'θ': [2.0, 2.0, 3.0], 'N': 150, 'μ': 4.0}" | |
| ] | |
| }, | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "best_params" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x360 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "θ1 = MA_model.params[1]\n", | |
| "θ2 = MA_model.params[2]\n", | |
| "θ3 = MA_model.params[3]\n", | |
| "\n", | |
| "μ = MA_model.params[0]\n", | |
| "\n", | |
| "\n", | |
| "plt.figure(figsize = (10,5))\n", | |
| "\n", | |
| "\n", | |
| "plt.plot(build_MA(**best_params), color = 'r', label = 'Brute Force')\n", | |
| "plt.plot(build_MA(μ=μ, θ = [θ1, θ2, θ3], N=N), color = 'g', label = 'StatsModel')\n", | |
| "\n", | |
| " \n", | |
| " \n", | |
| "plt.plot(X, color = 'k', alpha = .5, label = 'Original')\n", | |
| "plt.legend()\n", | |
| "plt.title('Comparison between original data, our model and StatsModel ARIMA');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Why doesn't our model fit the full range of variation? Both the original data and our model have random noise that produces both positive and negative deviations from the mean. When the noise in our data is of the correct magnitude, it is only in the correct direction about 50% of the time. As a result, our model is over-penalized for having noise, even the correct amount of noise, and tends to revert to the mean.\n", | |
| "\n", | |
| "To help fix this problem, we can calculate our loss function (mean squared error) from a comparison of the sorted signals. In that way, the high points of our signal will be compared to the high points of the original signal and the same for the low points." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "mses = []\n", | |
| "best_mse = np.inf\n", | |
| "best_params = {}\n", | |
| "\n", | |
| "for μ in np.linspace(0, 10, 11):\n", | |
| " for θ1 in np.linspace(0, 10, 11):\n", | |
| " for θ2 in np.linspace(0, 10, 11):\n", | |
| " for θ3 in np.linspace(0, 10, 11):\n", | |
| "\n", | |
| " MA = np.sort(build_MA(μ=μ, θ=[θ1, θ2, θ3], N=N))\n", | |
| " XX = np.sort(X)\n", | |
| " mses.append(np.sum((MA-XX)**2))\n", | |
| "\n", | |
| " if mses[-1] < best_mse:\n", | |
| " best_mse = mses[-1]\n", | |
| " best_params = {'θ':[θ1, θ2, θ3], 'N': N, 'μ':μ}" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.plot(mses)\n", | |
| "plt.axvline(np.argmin(mses), color = 'r')\n", | |
| "plt.title('''MSE as a function of Model Parameters \\n \n", | |
| " Minumum error indicated in red''');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 16, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x360 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.figure(figsize = (10,5))\n", | |
| "\n", | |
| "plt.plot(build_MA(**best_params), color = 'r', label = 'Fitted Model')\n", | |
| "plt.plot(X, color = 'k', label = 'Original Data')\n", | |
| "plt.legend();" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\n", | |
| " Original Data: {'θ': [6.0, 7.0, 5.0], 'N': 150, 'μ': 3} \n", | |
| " Best Fit Model: {'θ': [8.0, 6.0, 4.0], 'N': 150, 'μ': 4.0}\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "print(f'\\n Original Data: {params} \\n Best Fit Model: {best_params}')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "The final comparison of the fitted parameters and overlayed plots show we have done a better job of reproducing the original signal.\n", | |
| "\n", | |
| "Conclusion:\n", | |
| "\n", | |
| "Fitting random signals is hard. In a signal with no trend nor seasonality, all that remains is random noise.\n", | |
| "\n", | |
| "We can't expect to recreate the original signal, the best we can hope to do is create a signal which exhibits the same *type* of randomness, that is to say, the approximate mean value, trend, range and periodicity, all of which are complex functions of white noise, over which we have no control or direct insight." | |
| ] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "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": "3.8.5" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 4 | |
| } |
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