{ "cells": [ { "cell_type": "markdown", "id": "c7be5261", "metadata": {}, "source": [ "# Interpolation\n", "**강좌**: *수치해석*" ] }, { "cell_type": "markdown", "id": "3c85bf09", "metadata": {}, "source": [ "## 개요\n", "- Interpolation (보간): 데이터들 사이에 있는 중간값을 산출\n", " * Extrapolation (외삽): 데이터들을 바탕으로 그 밖에 있는 값을 추정\n", " \n", ":::{figure-md} Interpolation\n", "\"interpolation-fig1\"\n", "\n", "Interpolation (from Wikipedia)\n", ":::\n", "\n", "- Regression (회귀): 데이터들에 적합한 함수 산출" ] }, { "cell_type": "code", "execution_count": 1, "id": "35c446e7", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "from matplotlib import pyplot as plt\n", "\n", "import numpy as np\n", "\n", "plt.style.use('ggplot')\n", "plt.rcParams['figure.dpi'] = 150" ] }, { "cell_type": "markdown", "id": "3663cf83", "metadata": {}, "source": [ "## Newton의 제차분 보간 다항식 (divided-difference interpolating polynomial)\n", "### Linear Interoplation\n", "- $x=x_0, x_1$ 두 지점에서 함수 값 $f(x_0), f(x_1)$을 알고 있을 때\n", "- 선형 보간 함수 $f_1(x)$\n", "\n", "$$\n", "\\frac{f_1(x) - f(x_0)}{x-x_0} = \\frac{f(x_1) - f(x_0)}{x_1-x_0}\n", "$$\n", "\n", "정리하면\n", "\n", "$$\n", "f_1(x) = f(x_0) + \\frac{f(x_1) - f(x_0)}{x-x_0} (x - x_0)\n", "$$\n", "\n", "#### 예제\n", "아래 테이블을 이용하여 $\\log(2)$ 값 보간\n", "\n", "| $x$ | 1 | 4 | 6 |\n", "|----------|----------|----------|----------|\n", "| $\\log(x)$| 0.0 | 1.386294 | 1.781759 |\n", "\n", "- $x_0=1$, $x_1=6$ 일 때" ] }, { "cell_type": "code", "execution_count": 2, "id": "3b282657", "metadata": {}, "outputs": [], "source": [ "def fi1(x0, x1, f0, f1):\n", " fi = lambda x : f0 + (f1 - f0) / (x1 - x0)*(x-x0)\n", " \n", " return fi" ] }, { "cell_type": "code", "execution_count": 3, "id": "65e5aa01", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.358351893845611" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x0, x1 = 1, 6\n", "f0, f1 = np.log([x0, x1])\n", "\n", "f16 = fi1(x0, x1, f0, f1)\n", "f16(2)" ] }, { "cell_type": "markdown", "id": "aba6e82a", "metadata": {}, "source": [ "- $x_0=1$, $x_1=4$ 일 때" ] }, { "cell_type": "code", "execution_count": 4, "id": "3d236490", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.46209812037329684" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x0, x1 = 1, 4\n", "f0, f1 = np.log([x0, x1])\n", "\n", "f14 = fi1(x0, x1, f0, f1)\n", "f14(2)" ] }, { "cell_type": "code", "execution_count": 5, "id": "96044a12", "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(1, 8, 81)\n", "plt.plot(x, np.log(x))\n", "plt.plot(x, f16(x))\n", "plt.plot(x, f14(x))\n", "\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.legend([\"$\\log(x)$\", \"$f_1$ on (1, 6)\", \"$f_1$ on (1, 4)\"])" ] }, { "cell_type": "code", "execution_count": 6, "id": "83a62f10", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True relative error of f16: 48.3007%\n", "True relative error of f14: 33.3333%\n" ] } ], "source": [ "# Relative Error\n", "fexact = np.log(2)\n", "print(\"True relative error of f16: {:.4f}%\".format(abs((f16(2) - fexact)/fexact)*100))\n", "print(\"True relative error of f14: {:.4f}%\".format(abs((f14(2) - fexact)/fexact)*100))" ] }, { "cell_type": "markdown", "id": "5221899b", "metadata": {}, "source": [ "### Quadratic Interoplation\n", "- $x=x_0, x_1, x_2$ 세 지점에서 함수 값 $f(x_0), f(x_1), f(x_2)$을 알고 있을 때\n", "- 앞선 선형 보간 함수 형태로 부터\n", "- 2차 다항식 $f_2(x)$\n", "\n", "$$\n", " f_2(x) = b_0 + b_1 (x-x_0) + b_2 (x-x_0)(x-x_1)\n", "$$\n", "\n", "- 함수 값을 적용하면\n", " * $f_2(x_0) = f(x_0)$\n", " \n", " $$\n", " f_2(x_0) = b_0 = f(x_0) \n", " $$\n", " \n", " * $f_2(x_1) = f(x_1)$\n", " \n", " $$\n", " f_2(x_1) = b_0 + b_1 (x_1 - x_0) = f(x_1)\n", " $$\n", " \n", " - 이전 결과 대입\n", " \n", " $$\n", " b_1 = \\frac{f(x_1) - f(x_0)}{x_1 - x_0}.\n", " $$\n", " \n", " * $f_2(x_2) = f(x_2)$\n", " \n", " $$\n", " f_2(x_2) = b_0 + b_1 (x_2 - x_0) + b_2 (x_2 - x_0) (x_2 - x_1) = f(x_2)\n", " $$\n", " \n", " - 이전 결과 대입\n", " \n", " $$\n", " b_2 = \\frac{\\frac{f(x_2) - f(x_1)}{x_2 - x_1} - \\frac{f(x_1) - f(x_0)}{x_1 - x_0}}{x_2 - x_0}\n", " $$\n", "\n", "#### 이전 예제" ] }, { "cell_type": "code", "execution_count": 7, "id": "4c29ba29", "metadata": {}, "outputs": [], "source": [ "def fi2(x0, x1, x2, f0, f1, f2):\n", " b0 = f0\n", " b1 = (f1 - f0) / (x1 - x0)\n", " b2 = ((f2 - f1) / (x2 - x1) - b1) / (x2 - x0)\n", " \n", " fi = lambda x : b0 + b1*(x-x0) + b2*(x-x0)*(x-x1)\n", " \n", " return fi" ] }, { "cell_type": "code", "execution_count": 8, "id": "8ed4db3e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5658443469009827" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x0, x1, x2 = 1, 4, 6\n", "f0, f1, f2 = np.log([x0, x1, x2])\n", "\n", "f146 = fi2(x0, x1, x2, f0, f1, f2)\n", "f146(2)" ] }, { "cell_type": "code", "execution_count": 9, "id": "c63d18d4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(1, 8, 81)\n", "plt.plot(x, np.log(x))\n", "plt.plot(x, f14(x))\n", "plt.plot(x, f146(x))\n", "\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.legend([\"$\\log(x)$\", \"Linear\", \"Quadratic\"])" ] }, { "cell_type": "code", "execution_count": 10, "id": "db6aa1c5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True relative error of f16: 18.3659%\n" ] } ], "source": [ "# Relative Error\n", "fexact = np.log(2)\n", "print(\"True relative error of f16: {:.4f}%\".format(abs((f146(2) - fexact)/fexact)*100))" ] }, { "cell_type": "markdown", "id": "36e6fa8c", "metadata": {}, "source": [ "### General form\n", "- $(n+1)$ 개의 데이터로 $n$ 차 보간 다항식\n", "\n", " $$\n", " f_n (x) = b_0 + b_1 (x - x_0) + ... + b_n(x - x_0)(x - x_1)...(x - x_{n-1})\n", " $$\n", "\n", " * 계수\n", " \n", " $$\n", " \\begin{align}\n", " b_0 & = f(x_0) \\\\\n", " b_1 & = f[x_1, x_0] \\\\\n", " b_2 & = f[x_2, x_1, x_0] \\\\\n", " ... \\\\\n", " b_n & = f[x_n, x_{n-1}, ..., x_0]\n", " \\end{align}\n", " $$\n", " \n", " * 유한 제차분\n", " \n", " $$\n", " \\begin{align}\n", " f[x_i, x_j] &= \\frac{f(x_i) - f(x_j)}{x_i - x_j} \\\\\n", " f[x_i, x_j, x_k] &= \\frac{f[x_i, x_j] - f[x_j, x_k]}{x_i - x_k} \\\\\n", " ... \\\\\n", " f[x_n, x_{n-1},...,x_1, x_0] &= \\frac{f[x_n, x_{n-1},...,x_1] - f[x_{n-1}, x_{n-2},...,x_0]}{x_n - x_0}\n", " \\end{align}\n", " $$\n", " \n", "#### 이전 예제\n", "$x_3 = 5$ 인 점을 추가해서 3차 보간식 구성하시오." ] }, { "cell_type": "code", "execution_count": 11, "id": "3b4998d1", "metadata": {}, "outputs": [], "source": [ "x0, x1, x2, x3 = 1,4,5,6\n", "f0, f1, f2, f3 = np.log([x0, x1, x2, x3])" ] }, { "cell_type": "code", "execution_count": 12, "id": "bf94d435", "metadata": {}, "outputs": [], "source": [ "def difference(xi, xj, fi ,fj):\n", " # 1차 유한 차분\n", " return (fi - fj) / (xi - xj)\n", "\n", "# 반복적으로 재차분 \n", "df1 = difference(x1, x0, f1, f0)\n", "df2 = difference(x2, x1, f2, f1)\n", "df3 = difference(x3, x2, f3, f2)\n", "\n", "ddf1 = difference(x2, x0, df2, df1) \n", "ddf2 = difference(x3, x1, df3, df2) \n", "\n", "dddf1 = difference(x3, x0, ddf2, ddf1) " ] }, { "cell_type": "code", "execution_count": 13, "id": "a63b3e49", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.6287685789084135" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fi = lambda x: f0 + df1*(x-x0) + ddf1*(x-x0)*(x-x1) + dddf1*(x-x0)*(x-x1)*(x-x2)\n", "fi(2)" ] }, { "cell_type": "code", "execution_count": 14, "id": "9589e652", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(1, 8, 81)\n", "plt.plot(x, np.log(x))\n", "plt.plot(x, f14(x))\n", "plt.plot(x, f146(x))\n", "plt.plot(x, fi(x))\n", "\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.legend([\"$\\log(x)$\", \"Linear\", \"Quadratic\", \"Cubic\"])" ] }, { "cell_type": "code", "execution_count": 15, "id": "acf09339", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True relative error of cubic interpolation: 9.2879%\n" ] } ], "source": [ "# Relative Error\n", "fexact = np.log(2)\n", "print(\"True relative error of cubic interpolation: {:.4f}%\".format(abs((fi(2) - fexact)/fexact)*100))" ] }, { "cell_type": "markdown", "id": "4efced17", "metadata": {}, "source": [ "### DIY\n", "- *n*차 Newton 제차분 보간 다항식을 구하는 함수를 구성하시오.\n", " * 미리 필요한 제차분을 구해서 저장하여 보간함수를 구성하시오.\n", " * 제차분을 구하는 Recursive 함수를 구성하여 보간함수를 구성하시오." ] }, { "cell_type": "markdown", "id": "4ad63faa", "metadata": {}, "source": [ "## Lagrange Interpolating Polynomial\n", "- 제차분을 사용하지 않도록 Newton 다항식을 재구성한 식\n", "\n", " $$\n", " f_n(x) = \\sum_{i=0}^n L_i(x) f(x_i).\n", " $$\n", " \n", " * $L_i(x)$\n", " \n", " $$\n", " L_i(x) = \\Pi_{j \\neq i}^n \\frac{x-x_j}{x_i - x_j}\n", " $$\n", " \n", " - $L_i(x_j) = \\delta_{ij}$.\n", " \n", " \n", "- 선형 보간 다항식 예제\n", " \n", " $$\n", " f_1 (x) = \\frac{x - x_1}{x_0 - x_1} f(x_0) + \\frac{x - x_0}{x_1 - x_0} f(x_1)\n", " $$\n", " \n", "### 위 예제를 1, 2차 다항식 구성 " ] }, { "cell_type": "code", "execution_count": 16, "id": "7898bb29", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.46209812037329684\n" ] } ], "source": [ "# Linear\n", "x = 2\n", "xdata = [1, 4]\n", "fdata = np.log(xdata)\n", "\n", "f = 0\n", "for xi, fi in zip(xdata, fdata):\n", " # Compute Li\n", " Li = 1\n", " for xj in xdata:\n", " if xi != xj:\n", " Li *= (x- xj)/(xi - xj)\n", " \n", " f += Li*fi\n", " \n", "print(f) " ] }, { "cell_type": "code", "execution_count": 17, "id": "7ddea763", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.5658443469009826\n" ] } ], "source": [ "# Cubic\n", "x = 2\n", "xdata = [1, 4, 6]\n", "fdata = np.log(xdata)\n", "\n", "f = 0\n", "for xi, fi in zip(xdata, fdata):\n", " # Compute Li\n", " Li = 1\n", " for xj in xdata:\n", " if xi != xj:\n", " Li *= (x- xj)/(xi - xj)\n", " \n", " f += Li*fi\n", " \n", "print(f) " ] }, { "cell_type": "markdown", "id": "33284e12", "metadata": {}, "source": [ "### DIY\n", "- *n*차 Lagrange보간 다항식을 구하는 함수를 구성하시오.\n", " * For loop를 List Comprehesion 으로 구성해보시오." ] }, { "cell_type": "markdown", "id": "a215de31", "metadata": {}, "source": [ "## Spline 보간법 (Interpolation)\n", "### 개요\n", "- Gibbs phenomena\n", " * 고차 내삽은 항상 정확한가?\n", " * Step function" ] }, { "cell_type": "code", "execution_count": 18, "id": "3a89837f", "metadata": {}, "outputs": [], "source": [ "x = np.linspace(-2, 2, 101)\n", "stepf = lambda x: (1+np.tanh(1e8*x))/2" ] }, { "cell_type": "code", "execution_count": 19, "id": "e82a6b2c", "metadata": {}, "outputs": [], "source": [ "fs = []\n", "for n in [3, 5, 7, 9]:\n", " xdata = np.linspace(-2, 2, n)\n", " fdata = stepf(xdata)\n", "\n", " f = 0\n", " for xi, fi in zip(xdata, fdata):\n", " # Compute Li\n", " Li = 1\n", " for xj in xdata:\n", " if xi != xj:\n", " Li *= (x- xj)/(xi - xj)\n", "\n", " f += Li*fi\n", "\n", " fs.append(f)" ] }, { "cell_type": "code", "execution_count": 20, "id": "c563669a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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iQdKqn4spjFyZdw5sYQSgKLTl3IdKNKlOH3Zib9w+sK+ZxKQ4EkIIIYQQIsEcDW9h8l7U2p60FXgyVg/Ka4dNObgz12hta+teDL7utzkZ7qQ4EkIIIYQQIoHMbWVYnR1pul7HvOg+RoM4Rd+TsYaQMRsABRVH/WugRm7+ScOQBDKIEa2wsPCGG8AKIYQQQgw0faAeR91rWjtoHkNb7iZQBnkMQzHQlvM5Mqp+DYDRX4nZdQS/Y97g9iPBZORICCGEEEKIRIgESavZhk4NRJs6C62jHgYlMeMXQVsxvpTZWtvSVpaQfiSSFEdCCCGEEEIkgKPhTQyBGq3tzH2QiDEzgT0Cb+oS7WOT5zxK2JXA3gw+KY6EEEIIIYQYZOa2w1idB7S2J20FgZQZCexRVNA6nrA+FQCFCBbX8QT3aHBJcSSEEEIIIcQg0gfqcNS9rrWD5jG4sjckrkOdKTr8jo6pdea2IwnszOCT4kgIIYQQQojBEgl0s85oa8LWGXXHlzJH+9jku4wu2JK4zgwyKY6EEEIIIYQYJI76NzEEarW2M+8hIsaMBPaoq5B5NCFjlta2uI4msDeDS4ojIYQQQgghBoHZdQxr20Gt7Um/jYB9egJ7dAOKgr/T6JF5BKXWSXEkhBBCCCHEANOFnNftZ1SIK+vOBPbo5nyOjuLIGKhGH6hLYG8GjxRHQgghhBBCDCRVxVH3KrqIF4CIYsI5agso+gR37MbCplyCpnytbRkhwQzJs/JLiEFy9epV/vu//5sjR45QXl5Oc3Mzer2eCRMmcNddd/Hnf/7nOByORHdTCCGEEMOExXkAs+eM1nZl302405qeZOV3zMHYWA2A2XUEd+btoCgJ7tXAkpEjMeKcOnWKX/7yl1y6dImioiI2bNjA4sWLuXLlCv/8z//MPffcQ2tra6K7KYQQQohhQB9sJKXhba3tt03Gl7oogT3quc6pdYZgIwZ/ZQJ7Mzhk5EiMOLNnz+bjjz9mypQpMcfb2tr4xje+wa5du/j5z3/O//7f/ztBPRRCCCHEsKBGcNS+3Cm220pb7gNDZvQlYkwnYBmPyXcZAIvrCC7LmMR2aoBJcSRGnLy8PPLy8rocdzgc/M3f/A27du1i165dCeiZEEIIIQZCKKji9UbweyOEQhAKqTTWthIKRmht9REKqUTCKjqdgqIDnQ4UnYJOBzoFDEYFs0WH2RL9v8msoNffusCxtezE5CvX2m05nyNiSB3ILzXu/I7ZWnFkbjuKK2sjKMN38pkURyJhKioqWLp0KcuWLeO5557jZz/7Ga+//jr19fUUFBSwdetWvvWtb6EM4rsrOl30H7vJZBq01xRCCCFE/6iqiscVwdkaps0ZweuO4PVE8Hmj/w8Fu/ssT79e02hUMFsUbCk6Uhx6HGk6UlL1pKTqMJl06P3V2Bu3a8/3pczB75jdr9dMBF/KLFLq30Ihgj7sxOi9TNA2IdHdGjBSHImECwQCbN26lbNnzzJ37lwmTZrEvn37+MlPfoLL5eJ73/veoPTD6/Xy85//HIB169YNymsKIYQQondCIZWWpjDO5hDO1ghtrWHaWsOEw4Pbj2BQJRhUcbVFqKsOxTxmtYa5e+LvUUzRToX1Dtpy7hvcDsaJqk8hYJuI2XMWiE6tk+JIiAF06NAhlixZws6dO8nMzATgyJEj3HvvvfzqV7/i29/+Nna7HYBHH32Ul19+uVfnf/LJJ9myZUuX4y0tLfyf//N/AGhsbOTw4cM0Nzdz55138sgjj/TvixJCCCFEXAT8EZoawjQ1hGiqD9HSHEaN9P48igJmq4LRqGAwKFhtJgxGHeFwAIMhOoUuEgFVhUhERY1E25FItAjy+1T8vhuNQsWakbGLNFPHvkDbT23EeTpIZo5KZraBzBwDNvvQmZrmT5mjFUdm1zHacu4BZXiWEcPzqxpiVFXFHezDv/JrDJHotLNQaHDfMrEbdXGZ8qbT6XjiiSe0wghgzpw5rF27lu3bt3PkyBGWL18OwOLFi3t9/qKiom6PezyeLoXW3XffzU9+8hOsVmuvX0cIIYQQ/RcOqzTWh6irCtJQG6LN2fN7JJtdhyNdhz1Fj9WqYLHpsF77z2xWUHQd9y05OTkA1NfX97p/fp9KwBfB51NxtYVxOSO4nGHanGEyTJXMGrVfe/7JunlUthUBEdqcAcovRMMZUlJ1jBptZNRoI+mZ+kFdRtBb/pTpqPUGFDWELuLF5DlHwD4t0d0aEFIcJQF3MMIXXj6X6G702u8emkSKqf+blxUWFlJcXNzl+IQJ0SHburqOd162bt3K1q1b+/2aAAUFBVRWVqKqKlVVVezcuZP/9//+H7fffjvbtm1j9uyhNy9YCCGEGIr8vgi1VUFqq0PU1wQJh27+fL0B0jMNpKbpcKTpSU3X40jVYzAOfIGh1yvY7EqnkR+j9pga9pNZ8R66kAqAO5TBkfq13Z7H5Yxw3unn/Ck/ZotCXkG0UMrOM/Qo7GEwqToLfttULO7jQHRDWCmOhBgg+fn53R5vn0rn9/sH9PUVRWH06NF8/vOfZ9q0adxzzz185zvf4eOPPx7Q1xVCCCFGMq8nQuWVANUVQVqabj77xWRWyMwxkJWtJzPHQGq6Hp0uuQoIAEfTdoyhBgBUFPzjtrBuSjZuV4Sm+lB0emB9CLcrdjTM71O5cjHAlYsBDEYoKDQxdoIpqUaU/I45WnFkcp+CSAB0wy/ASoojkXC9+Ue/bds2SkpKenX+rVu39ng63pw5cyguLubkyZOUl5czZszwzvIXQgghBlMwEKH6apCr5UEa6248PKTTQ06egdx8I9m5BuyO+EzlH0hG70Vsrbu1tif9NkLWcShAikNPikPP2Gs5Bm5XmJrKILWVQRobwqB2nCcURCuUHGk6CotMjBlvwmxO7Bolv20KEcWMTvWjUwMYfeUEbZMS2qeBIMVRErAbdfzuob7/cBkM0W9jKHSLMeg4sxsH/x9pSUlJrwMZli1b1qu1Su1rnxobG6U4EkIIIfopElaprQ5SWR6ktipI5AZLiCzW6NSyvIJoQaQ3JHcx1JkS8ZNa+4rWDplycWfefsPn21P0FE/RUzzFQsAfobYqRE1VkPrqYEzqXltrhJNlPk4d9TGqwMi4YhPZeYbEFIo6I0HrOC2Ywei7IsWRGBiKovRr7Y7BEP3ckE69xTOHvqeeeoqnnnpqwM7f1tbG8ePHURSFsWPHDtjrCCGEEMOd1xOh/IKfKxcD+H3d36PY7DpGjzOSP8ZEanryjw7diL3hXfShZgBUdDhzHwKd8RafFWUyR0eHCotMhEIq1RVBrlzy01TfUSWpEai+GqT6apDUdB3FUy0UFBoHfWph0DK2U3FUfotnD01SHIkR55lnnmHx4sVMnz495nh1dTXf+973cLlc3HHHHeTk5Az6aJwQQoiRSVVVfD4fbrebyHVDK6qq4vf70ev1BAIBrFZr0hYRqqpSXxvi8nk/tVWhmOli7UxmhYJCI2PGmUjPSp41NX1l9JzD5uxIp/NkrCFk6dvME4NB0QolV1uYiksBKi7FFpfOlgiH93k4fUxH8RQzhUUmDIM0yha0jNM+NvquRKs2ZehEkveEFEdixHnrrbf4u7/7OyZPnszEiRMxGAxUVVVx7Ngx/H4/U6ZM4V//9V8T3U0hhBDDkNPppKamhtbWVtra2nA6nbS1tdHW1tbjN+R0Oh0pKSkx/6WmpjJq1CiysrLQ6/ufJNtbwaDKlYt+ys8HuoQNRPsM+WOMjB5nImeUISnDFPpCCftIrfuD1g6a8nFndp9O11spDj3TZluZMtNCfU204Oy82azXHeF4qZczx30UTTJTNMmEaYDXJYUshagoKKjoIn70gTrC5lED+pqDTYojMeI88sgjjBs3jtLSUvbs2YPL5cLhcDB//nzuuusutm7dSkpKSqK7KYQQYohTVZWmpiaqqqqoqqqisrISl8vV7/NGIhGcTidOp7PLY3q9nry8PPLy8hg1ahSjRo0iJSVlwEZn/L4IF8/6uXze3+3mqDa7jvEToyMhA33jnggpDW+hD7UCoKLHmfdQ3DdH1ek61mI5W8JcOO2j8koQ9dpgUjCgcvaEj4tnfUycaqFosnnARpJUnZmQaRTGQDUQHT0absWRoqrq8F+oMsCqq6u51WVUVZXGxkaysrLi/gsqUYEMw1lfr+lAfp+Hsr5utCduTK5pfMn1jL+Rek1DoRCXL1/mzJkzVFZW4vP5evX5BoMhZuSn/W+JTqcjFAoRCAR63afU1FQmTJhAcXEx+fn56HT9L1LcrjAXTvupuBToNmAhr8DA+IlmckYlKDygB/r7M2pynyK9+rda25W5Hk+cRo1uxeOOFqVXLvq77AllsSpMmWlhzHjTgIzQpdT/EVvrPgC8jgW05T0IJMe/eUVRbrhFTE/JyJEQQgghhi81gi7sRhdqRRd2gqqi6m1EdLbo//XWfr/Tr6oqlZWVnDlzhvPnz99yf760tDSys7NJTU3F4XDE/GexWLotJtpvPK9evYrL5eryX0NDA/X19V3WK0F0Kl9ZWRllZWVYrVatUBozZoz2ZmBPOVvCnD/lo7Ii2GU9kcEI44vNjJtowmYf/Kl9g0kJu3DUvaq1g+YxeDJWDdrr2+w6Zs6zMnm6mcvnA1w84ycYjH5DfF6VIwe8XDjjZ9psK3kF8S1Qg5axcK04Go6hDFIcCSGEEGLoU1UMgWpM7tMY/NXow85oQRRqQ+EG2dHXRBQTqt5GyJRL0DKeoHUcQXPhLdPGmpubOXnyJGfOnLnpdLns7GxGjx5NQUEBBQUF2ibnfWE2mzGbzWRlZXV5LBQKUV9fT21tLTU1NdTU1HSZeuf1ejlx4gQnTpzAZDIxceJEZs2aRV5e3k1f1+UMc+a4j6qKrnPnzBaFCZPNjCs2YzQl5yhRXKkqqXWvoQ9Hv+eqYrg2nW7wC0KTWcfkGRbGTzRx/pSfS+f82kieyxnhwC43mTl6Zsy1kp4Zn9v+zqEMhmADStiNqu/7z3SykeJICCGEEENTJIjJexGT+xRmz2lt7Udv6dQAhALoQy1aTLGKnpBlNIFrxVLAOhF0JgDq6uo4ePAg58+f7/Z8BoOB4uJiJk2axOjRozGbzX37+nrJYDCQn58fM63I5XJx8eJFLly4QGVlZczIUiAQ4OTJk5w8eZLc3FxmzZrF5MmTMRo7ikKPO8LZEz4qLge6jBTZUnRMnGpmzHgTev0IKIqusTgPYnaf1NqurI2ETbkJ7FG0SJo+18r4SWbOHPdy9XJHEdtUH2bnhy6KJpmZOtOCwdi/71XEkEFYn6IVh0bfFQL2af06ZzKR4kgIIYQQQ4eqYnKfwtp2CKPnfLSw6YGIzkxEnwaKDiXsQRfxoKg3XleqEMbouxKNK26Jji416yey55zC/lONQOwNpqIoFBYWMnXqVCZMmIDJZOrHFxk/KSkpzJ49m9mzZ+Pz+bh06RIXL16kvLw8Zl1tXV0dH330Ebt27WLatGlMnjSD+ior5RcDqNcNvDnSdEyebiF/jBFlmKTO9ZQ+0ICj4U2t7bdNwpu2NIE9imWz65i3xM6EyWFOHfVSX3Pte6zCpbN+qisCzFpgY9Tonu3B1C1FIWgZh959AgCjt1yKIyGEEEKIQaWqmDynsDd9hNFf1f1TUAiZxxCwTSZszCBsSCNiSCViSEPVmbucDzWI7lqhpAu1YfBXYPKWY/Bd6VJ06dQAWaGT3FMEy3L1HL5qpazShs6azcyZM5k8eXK/pssNBovFwrRp05g2bRrBYJALFy5w7Ngxqqurtef4/X5tfZLNNIb0lDmYjdEpfPYUHVNmRTcfTdaQhQGlhkmtfRFFjY7KRHQ22nIfTMp9ftIy9CxdnUJ9TZBjh7xavLrPq3Jgl5tRo43MnG/Fautb34OWsVjaiyPflbj1OxlIcSSEEEKI5KWqmDxnsDd9iNFf2eXhiGIiYJtEwD4Vv20qqqGHWzEoCigmIjoTEdLBDAH7FDwAahiDv5pA40nc1WWMtrdgMXbMKcu2h7ljiovbp7gIWFPxZtgJWG1x+XIHi9FoZOrUqUydOpWGhgaOHj3KqVOnCXeKPvMEruJpukqKdQwLFixi1twxw2Z/or6wN32C0X9Va7fl3k/EkJrAHt1azigjqzcYOH/Kx7lTfm0UsKYySH1tkKmzrBRNNPV6BDBmM1j/VVDD8ex2QklxJIQQQojko6qYPGevFUVXuzzst0/Hm7qYgHXCLYMTeisQDLPzwCWOHDlLJGLBqMtj+igf88Z4KM4K0D5oogBm73nM3vMEzYW4Mz9DwDYZhtioiqKmYwgtYkzmTFy+izg9ZwmGW7THXd6r7Nh1lcsV41iyZAmjRg2vfW16wuC7gq35E63tdSzAnzIzgT3qOb1eYcpMKwVjTRw96KGpPlrIhENw4rCX6qsB5i2xY7P3fBQpZC5ARY9CGEUNYvBXA8Pj50KKIyGEEEIkFSXsIrX2D5g9p7s85rdNw535GUKW0XF/XVVVOXfuHDt37sTtdmvHgxGFJv1knGMW0ZBrx+o6jKXtEIZgk/Yco7+C9OpnCJrHXCuSpiR9keRxRzh1xKsl0Ol0JlJtU0lLmUJqdi2V1Yepb+jYs6a8vJzy8nLGjRvH8uXLtXjx4U6J+KPT6a6lHoYNmbhy7klwr3rPkapn+doUrl4OcKLMRzAQHQ1tqg+z430nsxfYGD2uh2vldEZC5gKM/gqgPdJ73gD1fHBJcSSEEEKIpGHynMVR+wr6cFvMcb9tyrWiqHBAXrepqYkdO3ZQUVERczw1NZVVq1YxYcIEIBrY5slchydjLUbvJWzNf8LsPac93+i/Snr1swTNo68VSVOTrkgKh1XOn/Jz/rSPyHWzoQrGGpk224rNnoGqTuHy5cvs37+furo67Tnl5eVcuXKFGTNmsHTpUmy2oTWlsLdSGt7WCmEVhda8zV3XsA0RiqJQWGQmN9/I8cNeqq5EC+NQEEr3eaitDjJrvq1HkexB67hOxdHwWXckxZEQQgghEk8NkdL4PraWXTGHA9YJuLLuJGQZOyAvG4lEOHToEPv374+JudbpdCxcuJAFCxbERFtrFIWgbQKttgkYfFewN32kxYADGP2VpFf/loC1mLacewibbr6P0GBpqA1y9JAXd1tsBF1ahp6Z86xk5nTcGiqKQlFREePHj6e8vJz9+/dTW1sLREfZjh8/ztmzZ1m0aBFz5szp9YayQ4HZdRyr84DW9mSsIWQdd+NPGCLMFh3zl9rIyw9yrNRD6Fryd2V5kKZ6J/OW2snKufn3M7ruKPrvVYojIYQQQog40QfqSK35PcZAR2qaqhhwZW3Em7ZswEZe2tra+OCDD6isjA16GDt2LGvWrCE9Pb1H5wlZxtJa8DUMvoprRdIZ7TGT9wKZV36ON20Z7szbUfWWeH4JPeb3RTh5JHb/G4hu4DpttoUx4003TKBTFIXx48czbtw4Ll++zK5du2hubgaieyXt3r2b48ePs3LlSiZMmDBskuz0wUYcda9o7fbRwOFCURTGjDeRmaOndJ+H5oboMKLXo7LnExeTppmZPMNywxCOYKc3LPShFlR/E5gzB6XvA0mKIyGEEEIkhqpicR7A0fCWFo8MEDLl0pr3ecLm/Jt8cv9cuHCBjz76CJ/Ppx1LSUlh1apVFBcX9+kGP2QppLXgqxh8V7E3fqBNt1OIYGvdjcV1BFfWnfgc8wct/llVVSouBTh5pGONybVOUTTRxJRZVow93BS0fSRp7NixHDt2jP379+P3+wFobW3l7bffZsyYMaxdu5aMjIyB+HIGTyRIavXv0EWiX19EMePM2wKKPsEdiz+bPboW6fwpP2dP+FBVQIVzJ/00N4aZv8yG2dz15zViSCVsyEAfihbKuC5KcSSEEEII0SdqhJT6N7A598cc9qQtxZV1V9wT6NqFQiF27tzJsWPHYo5PmjSJdevWYTb3fy1JyDKG1oKvYfKcwlH/NvpQdL2KLuwite4PWFv305Zz74Ctn2rnagtz5EBHOlm7tAw9sxdaSc/s222gXq9n7ty5TJkyhf3793Ps2DFUNVp4Xb16lW3btrF48WLmz5+PXj80iwlHw5sxI5lteQ8QNg3fAAqdTmHyDAs5owwc3ufR9kVqqA2x84M2Fq6wd/vzErSMRe+6Vhy1nYeshYPZ7QEhxZEQQgghBpcaJrX2JSyuo9qhiM6OM+8BAvZpA/ayjY2NvPfeezQ2NmrHDAYDq1evZvr06fGdDqYoBOzTabROwtayC3vzJ9romNF/lYyrv8CbthxX1nrQ9TAhrIfUiMrFc35OH4sNXNAbYOosK+MnmuKyX5HVamXNmjXMmjWLnTt3cuVKdN1JOBxm7969nD17lnXr1pGfP3AjgAPB4iyNXWeUthx/yqwE9mjwZGQZWLXewZEDHi3F0OtR2f2xi9kLbBQWxf6sBi1jsbiORBttFwa7uwNCiiMx4lRUVLB06dIbPp6Tk8Px48cHsUdCCDGCRAKk1WyLWZcTNBfSmv/FAd1Q88yZM3z44YeEwx3VQnZ2Nhs3bhzYKWA6I57Mtfgc80hpfAeLKzpipaBia92N2X0KZ+4mgrbiuLycuy1MWYmHpobY0aJRo43MnG/Faov/dL6srCzuu+8+Lly4wI4dO7QY9MbGRl5++WVmz57N8uXLMZniWwQOBL2/Bkf961o7aC7Elb0xcR1KAINRYf4yG+mZfk4e9YEKkTCUlXhoaQoxY55VK647bwaL+wqEAwnqdfxIcSRGrJycHNasWdPleGpqcu92LYQQQ5US9pFW/Swm32XtWMA6kZb8L8V99KSdqqrs37+fkpKSmONz585l+fLlg5awFjGm4xy1Fa/nIo761zEEo/sH6UNNZFT9Gk/qEtzZG1B1fQtsUFWVS+cCnDrqjRktMpkVZi+0kj9mYAsTRVGYOHEihYWF7NmzJ2ba4tGjR7l48SJr166lqKhoQPvRH0rET1rNNm2EL6Kz0jpqKygj73ZZURSKp1pIzdBzaI9HW692+XwAZ0uYBcvtWKw6QuZRqIoRRQ2iqGFUdzmQntC+91dSfbcvXrzI0aNHOX/+POfOnaO5uRmj0cjvfve7Pp3P7Xbz8ssvU1JSQktLC+np6SxatIjNmzdjt9vj3Hsx1EycOJGnnnoq0d0QQogRQQm7SK96GqO/Sjvms8/AOerzA3bzGQqF+PDDDzl7tiNi22KxsH79esaPHz8gr3krQdsEmgr/CnvTR9hadmobi9qc+zF7TtOWcz8B+5RendPtujZadN3aooKx0dGi7hbTDxSz2czatWuZMmUKH330kZZq53K5ePPNN5k+fTq33XZbXNZ2xZWq4qh7VStaAZx5W4gY0xPXpySQk2dk1XoHB3e7aW2O/nw1NYTZub2NJatSSE3XE7QUYvJejH5C23kwDe11R4P3r6UHXnnlFbZt20ZJSYn2j6mv2tra+Nu//Vveeecd9Ho9ixYtwmq18u677/L973+ftra2W59ECCGEEP2mC7aQcfWXMYWR17EA56iHB6ww8ng8vPrqqzGFUUZGBps3b05YYaTRGXFnb6B5zLcImkZph/WhVtKrn8FR+wpK2HeTE0SpqsqVi352vN8WUxiZzAoLlttYsMw+qIVRZwUFBTz88MMsWbIEna6jDydPnmTbtm1cvXo1If26EWvrvpg1cO6Mtb0uUocrm13HinUpjBnfEZLi86rs/riN+tpg7NS6YbDuKKmKo8mTJ/Pggw/yve99j1/+8pf9Otezzz5LdXU1ixcv5qmnnuKv//qv+dd//Vc2bNhATU0Nzz77bJx6LfqqoqKC0aNH8+CDD+L1evnJT37C4sWLKSoqYsWKFfzHf/yHln4jhBBiaNIFW8io/K+Yd+Q9aStoy900YLHIjY2NvPjii9TU1GjHCgsLeeihh3q8d9FgCFlG01z4l7gyb0el41pY2w6RWfFvGD03vtEMBCIc2uPhyAEv4VDH8fwxRtZscFBQmPj1PQaDgSVLlvDwww+Tm5urHW9ra+PVV19l586dhEKhm5xhcBi9l0hpeFtrB6zFuDNvT2CPko/eoDB3sY2Z86xwLcsjFIT9n7qpbi3oeGLbBRji925JNa3uc5/7XFzO09LSws6dO9Hr9XzjG9+IiZH80pe+xJ49e9i1axdf/OIXk+qX5EgVCATYunUrZ8+eZe7cuUyaNIl9+/bxk5/8BJfLxfe+970Bed36+nr+5V/+hbq6OhwOB/PmzWP9+vVDYsGoEEIMCSEP6dXPoA+1aIdcmbfjyVg3YBu7Xr58mXfffZdgsGPfpJkzZ7J69erkjJVWDHgyP4PfPoPUuj9g9EdHVPShluhapLQVuLLujPmUxroQpfvd+DwdN6FGk8LsBVYKxibf37CsrCweeughDh48SElJifbG5+HDhykvL2f9+vUxxdOg8taQVv0cCtGRt7DeQWvelkHbh2ooURSFoslmrHYdh/a6iYRBjcC+0iwmzr32nFAb+lATYWNWQvvaH0lVHMXL4cOHUVWV6dOndyl+jEYjCxYs4JNPPqGsrKzbBfmDTVVVQsG+V9mRSHS+cjgUiVeXesRgVOISe3ro0CGWLFnCzp07ycyMbh525MgR7r33Xn71q1/x7W9/W1sj9uijj/Lyyy/36vxPPvkkW7Zs6XL8/Pnz/OxnP4s5Nnr0aP7zP/+TxYsX9/GrEUIIAUAkBGd/gSFQqx1qy/4s3vQVA/aSp0+fZvv27TGzDm677Tbmzp0b35juARA2j6J5zCPYmj/F3vRhx1qk1t2YvOfA/udErOM4fczLuZP+mM/NyjUwb4ltQJLo4kWv17NkyRLGjx/PBx98oC2faGpq4qWXXmLJkiUsWLAgZgregAs64dS/oYt4AVAVA62jvoBqcAxeH4agUaONLF+bQslONwG/ij9spcWbSbo1up+X0VsuxVGyKS8vB7hhIkpRURGffPIJly9fHsRe3VgoqPLea85Ed6PXNtyfitHU/z82Op2OJ554QiuMAObMmcPatWvZvn07R44cYfny5QB9Klqu/zkwmUx8+ctf5t5772XSpEmYzWbOnj3LU089xccff8wXv/hFPvzwQ8aOHdu/L0wIMSyoTfVQWZ7obgwxKmHbMQzqOe2IKzgFT4UZKg4OyCser6rlkzMd09CMeh13Tp9MkSEMxw8xVCb6uHHgV9aQZjqAQRddH20I1KEe/TFnG5dxvnwF7asiFFSm5DZSnNWCcoEh8TXmAp+fNZm9F69QdjW6yWokEmHv3r1cOXWC9dMnkTIoYQ0hVNsedGrHdM9W3wKC5+uB+ht/mgCieXQrCg2UXCnAHTBR6x6tFUdtl0sxzp6f0P71x7AsjhoaGgBibrY7y8rKinnerTz22GNdjplMJn76058C0X0SbkVVVZqbmzEYDF3evWof+Rlq9AYDBkPf3+Fpn95QWFjIlCldFz1OnDiR7du309DQoEWtfvnLX+bLX/5yn18ToqNDTzzxRMyxJUuW8MILL/DNb36TV199lZ///Of867/+a68jXlVVRafTkZOTk/TvUg6m9uuYkzN8dxcfbHJN4+tG19N/pITmf/xrGKK/pxMlZXkOhts6pkl5T7bQ9uarwKsD8npHsgrZVdDxd8Qa9HPvucNkl33AUPzOBYB6vYJjVS72RVkoioKiqEzL3kOW5RI7Ln+WUHOAucd/QbrzEipDozBqpwNWAOPsGXw0ZjoukxWAyhYn2z7dy2eunqSorWf3aH2iQMZ9heimdGzd4fykBm/JbwbuNYchK7DMmELJ3MeobRvFlOxofLs+VEFLs4tJk5M3tv1mknf8tR98vmjCy41iItuP+/3+bh8Xg6ugoKDb4+1T6QKBwdtQ7Dvf+Q4An3zyyaC9phAiefn2fCKFUS9Zp6fh6FQY+SvctLxTdZPP6J/S7HExhZE96OP+i4fI9rkG7DUHRVil9U8NlO6aiMvfcROfm1LN/VP/mzt9T5DuvJTADvbfGHcznz+3n4ktHcEZfoOJd8bP5dP8KYQGaN2PY20elk6Fkbu0CXdJ44C81nAWQWFv5iR+pw9xuL5jBlSuI8DFGm8Ce9Y/w3LkqH2ucbzeuX/yySdv+nhDQ8MtU9VUVSUSiRAKhbr0S1FUNtzf941H9dfe8QwPcuKLooQJ9WOdU+ddyrtLq9HWUoXD2uPtUe+9sXXr1h5Px2ufSldbWxtdC9bLa9r+fa6vr5eRo07a342vr5epCvEi1zS+bnQ9Iy2dtpVISQVH2mB2a8gx5elJu92mtUPOCM17IpA7Ju6vpQIltiwO2jpmbzjCAe5rqyItKwsYumseALzGNA6P+TwttrGcOOlnaeGHTM4+DoDBECHzjlx80zJo3esj4h1K40axzMD6UCuFbSo7U/K0guhYdiFV6bmsb6siMxy/N0ltU42kLLJqbX9lCOcJA+QXxu01RoLj1tE8k7uSi5ZczGEftQ0VeAIK7oCOmtZU5iw1JuTvk6Io5Ofn9+scw7I4slqjP/TtI0jXax8xSpYNyBRF6dfanfapbaHBXMSYICUlJb0OZFi2bFmPi6PW1lYA2SRYCAGAGuy4KVM2bEJ356YE9ia56QO1ZFz9T5RI9G+vanCgX/236AZg6YGqquzevZvS0lLtWFpaGps2bcLhGPqL6Wurgxze5yEYiBY9wYiZE+77GT1nOdbq36GLuAGwjDFi2pJGW+79+FNmJrLL/TYLGN3UxHvvvacte2g0mHk5ZxKrV69m+vTp/X7T0eQ6SWrN87RPQlTtYzHd/130q2Xvy5662urnmcP1HKjsGJkt8l5Ah8q/fJKLzpjCV7/6ZfRDOPl3WBZH7WuAmpqaun28sbEx5nli6Hjqqad46qmnBuz8b78d3edg9uzZA/YaQoghpPO0XuPQ/WM/0JSwh/SqZ9G1F0aKAaZ+Gyw50Bbfd49VVeXTTz/lyJEj2rHMzEzuv//+If/GlhpROXPC1yWNbuwEE2vWF2IwjKPRmI2j7g+YPWcA0EU8pNX8Dq9jHq7se1D11u5OPSRkZmayefNm9uzZQ1lZGRCdWfLRRx9x9epV1q5d2+ftNkzu06TVvoByrTAKG9LQTf2foLcAUhzdSosvxO+PNvD++RYinQYq7SEXBf5KAAJhHffc9ZkhvyXKsBxqGDcuulPvpUvdz8VtP97+PDGyvPzyy1RVdZ3//s477/BP//RPAHzta18b7G4JIZJRp5EjTMkx2yDpqCqOulfRh6JTEFUUnHlbwFE8IC+3d+/emMIoOzubTZs2DfnCyO+PsO9Td0xhpNPD3MU25iyyabNEIgYHrflfwZlzP6pi1J5rbTtM5pWnMLnPDHrf48lgMLBq1SruueceLBaLdvzMmTO8+OKLPQ7T6szsOhbdy0iNTpWP6My05H8VTOlx6vXw5Q9FePl4A4/88SLvnostjKZmW7kn5Wr7nrBkZWWxYMGChPQznoblyFH7fganTp2itbWVtLSOOeLBYJBDhw6hKArz5s1LYC9Forz44os89thjTJw4kTFjxmCxWDh79iznz58H4Jvf/CZ33XVXgnsphEgKgU7v4MvIUbeszv1Y3Ce0tjvzjgGb4lVaWsrBgx1R4Hl5edx3330xN9FDUWtzmAO73XjdHet47Q4dC5fbSU3vZuNaRcGXtpigdQKptS9h9FcAoA87Sa9+Bq9jIa7su1H1Q/e6FBUVsXXrVt577z3tDc3m5mZefPFFVq9ezYwZM3o0zc7cdpjU2pe1EaOIzkxr/lcJm0cNaP+Huoiq8qdLTp4/Uk+jJ3b99agUI1+el8M4nZNXX72iHb/jjjuSc6PlXhrSI0fvvfcejz76KNu2bYs5npGRwYoVKwiFQvz617+OWfj//PPP43Q6WblyZZcNYsXIsHXrVjZu3EggEODAgQNs374dl8vFXXfdxQsvvMAPfvCDRHdRCJEsOhVHiowcdaH315DS8LbWDlgn4slYPSCvdeLECXbt2qW1s7KyhkVhVHklwK6P2mIKo4JCI6vucHRfGHUSNmXTPOYvcGWuR6Xjuda2g2RWPIXJfXbA+j0YUlJS2LRpE4sWLdKOhcNhPv74Yz744INbptlaWkuuK4ystBR8g6B1/EB2e8g7WuPm8Xcv8297q2MKI4dJxzcW5PLvn53A8kIHu3fv1h4bNWoU06dPT0R34y6pRo5KS0v5wx/+EHMsFArxd3/3d1r7gQceYP786OpOp9NJVVWVtstyZ1/96lc5d+4c+/fv59FHH6W4uJiKigoqKirIy8vjK1/5ysB+MeKWCgsLqaysvOHjjz/+OI8//njcX3fTpk1s2iSLqoUQPRCUNUc3FAmQVvNCx1QlfQrOvM0wAPHL58+f5+OPP9baqampfO5znxvShZEaUTl1zMeF051GJxWYNttC8RRzz8MHFD2ezLX47dNIrXsF47X1H/pQK+nVT+NNXYgra+iOIul0OpYtW0ZBQQEffPABXm80IvrMmTPU1tZy1113dbuG3NqyG0fDW1o7ok+hueDrhM39SzIbzq60+nm2tI6DVe6Y4wadwmenZPDQjCxSzNEi/Ny5c9TW1mrPWbly5bBJ6U2q4sjpdHLu3LmYY6qqxhxzOp3Xf1q3UlNT+ad/+ideeuklDhw4QElJCWlpaWzYsIHNmzeTkpIS174LIYQYhgKy5uhGHA1vYQjWaW1n7kNEDPFPirty5QrvvfeetmWG3W4f8uELAX+E0n0e6ms63pU3GhXmL7ORm2+8yWfeWNg8iuYx38TW/Cn2po9QiM6asToPYnKfxZVzD377DBiiN7Djxo3j4Ycf5v3339feWG1pael2mp2t6U+kNL2vfW5Yn0rL6D8jbMrt9twjXYs3xLajDWy/ELumCOC2cQ6+NDeHvJSON4fC4TB79uzR2hMmTLjhnpVDUVIVR2vWrGHNmjU9fv7mzZvZvHnzDR9PSUnh61//Ol//+tfj0DshhBAjTuc1R0M8gSmezG1HsToPaG13+ioC9slxf53q6mrefvttbd87s9nM5z73uZi1xENNW2uYkl1uPK6OaXSONB2LVtqxp/RzvcaNRpHCTtJqfoffNhlXzr2EjUNzD6iUlBTuv/9+9u/fz4ED0Z+/9ml2VVVVrF2ziozWD7G1dkz3ChvSaRn9jSH7NQ8kfyjCH0818YeTTfiu27dyeo6Vr87PZUp21/TD48ePa1ufKIrC8uXLB6W/gyWpiiMhhBAiqcRMq5ORIwBdsAlH/ataO2gegzvrjri/TmNjI2+88QbBYBAAo9HIvffeS1bW0L3JrasOcmiPm877i+ePMTJ3sQ2DMX4jOh2jSDuwN32sjSKZPWcxXXkKd8YaPOmrQNe3UapE6jzN7v3339f2tKy5fBzlxD5sDq/23JAxi5aCbxAxpieot8kpHFHZcdnJ82X1NHpjwxbyHUa+Mi+XpWNSup0m5/f7KSkp0dozZswgMzNzwPs8mKQ4EkIIIbqhqup1Ud4ycoQaJq3m9+gi0RG1iM5M66iHQYnv7YTb7eaPf/yjtmm7Tqfj7rvv7vfO94l06Zyf44e97fuPAjB1loWJ03qxvqg3FD2ezHX4U2bhqH8DkzeayKqoIVKaPsTSdhhXzr0EbPEf8RsM48aN09LsHKGLPDC7BZup4+IGTaNoLfj6gEz1HMrKqt08c7iOS82xe2k5zHo+PyuLOydmYNTf+Ofx8OHD2rovg8HAkiVLBrS/iSDFkRBCCNGd4HVJWLLmCHvjdi02GqAt534ixvi+axwKhXjrrbdwuVxAdNrOhg0bGDt2bFxfZ7BEIionDnu5fL7j50lvgPlL7YwaPfAjN2FTDi0FX8fsOkZKw1vow9ENTw3BRtKrnsZvn44rcz1hc96A9yXeUuxWvrLair01NpjrYIWVC5GprMy3MPTGxgZGeYufZw/Xcei6sAWjTuGeqRk8MCOLFNPNp3U2NDTEROnPnz9/SK/9uxEpjoQQQojuXF8cjfC0OoOvElvLp1rb61iI3zEnrq+hqirbt2+PScFatWoVEydOjOvrDJZgQOXQXndM8ILFqrD4NjtpGYN4C6Yo+B2zCdgnY2/8EGvrXhSureNyn8TkPoU/ZQ7uzM8QNnVNfktGumALabUvYPR17LMTCCu8cSyVsiobcIbK6no2btw4pKdi9lezN8S2o/V8eKG1S9jCqvGpfHFOdkzYwo2EQiHef/99bf2f3W4ftvuFSnEkhBBCdMcfO+1kRE+rU8M46l/V9osJGbNoy7kn7i+zf//+mITaWbNmMWdOfAuwweJxhdm/043L2bHQPS1Dz+Lb7FisidlmUtVZcOV8Fl/qAlLq/4jJVw6AgorFVYbZdRRf6gLcGeuSd52OGsLaegB703Z0kU7ri0x51DjuoyZyAKgBoKmpSUuzmz59+rCJmu4JXyjC66eaeO1kI75QbFU0PcfK1xfkMimra9jCjezdu5fGxkatfccdd2A2D8/RdCmOhBBCiO50HjlSdNG5UCOUtWU3Rn+V1m7LuR908S0WT58+HbPQe+zYsaxePTAbyg605oYQJbvcBPwdN6X5Y4zMXWLDYEj8DXrInE/L6L/A7D6BvXG7FsmuEMHqPIDFWYo3bQme9NuSp0hSI5hdR0lp3I4+1BTzkNexgLace7HoTDzwwFj27t1LaWkpEB3x+Oijj7h69Spr167FNMzf5AhHVD651MrzRxpovi5soeBa2MKSG4Qt3EhFRQWHDx/W2nPmzBmy01x7YuT+phdCCCFuJhgb4z2S3nXuTBdsIqXpQ63tdSwkaCuO62tUV1fz0Ucfae2MjAw2btyITpeYEZb+qKkMcmivm0i449ik6WamzLQk18+QouBPmYnfPh1LWxn2po+0okMhjK11D9bWvQRsU/CmLSZgmzIgG/zekqpi8pzF3vg+xkB17EOKkbac+/ClLtCO6fV6Vq5cyZgxY/jggw+0NLv2TWM3btxITk7OoH4Jg6Ws2s3TpXVcbuk+bGHDpAwMut79DPp8PrZv3661MzMzWbFiRVz6m6ykOBJCCCG6IxvAgqriqHsdRY3GaUf0KbiyN8b1JZxOJ2+99RbhcLSasFgs3HPPPUNyys7l836OlXYk0ik6mLPQRmFREo9WKDp8qfPxOeZgcR7E3vQx+rAz+hAqZs9pzJ7ThA1peFMX4ktdRMQwCPtMqRGM3svYmz7E5LsU+xA6fKkLcWd+hoghtdtPHz9+vLZpbFVVdNSzpaWFl156iZUrVzJ79uwB/xIGy+VmH88erqe0uvuwhQdnZGG/RdjCjfzpT3/SwlF0Oh3r16/HYBje5cPw/uqEEEKIvuq8AewIDWMwu8owezvWALVlfxZVb4vb+f1+P2+++aYWDdwe2Z2enh631xgMqqpy+piP86c6fmYMRli0wk523hDJS1P0+NKW4HPMx+rcj61lb8z0NX2olZSmj7A3fUzANpmAbRIBazFhU278RpTUECbvRcyuE5jcp7Rkvc58KbNwZ67vUXCEw+Fg06ZNXTaN3bFjB+Xl5WzZsoWUlJT49D0Bmrwhfnekno8vdg1bWD0+lS/OySE3pe8/f2fOnOHs2bNae+nSpeTm5vb5fEOFFEdCCCFEd0b4HkdK2I2j/m2t7bdNxp8Sv3fb25PpOi/yXrduHaNHj47bawyGSFil7ICHyvKgdsxiVViyKoXU9L69W59QOiPe9JV405Zj9F7A2lqC2X1SS7eLjiadwew5A0BEZydgLSJonUDANoGwMRd6On1QDaMLOTH6KzG7T2Byn0YX8XX71IB1Iq6sDYQsvfv5aN80dvTo0XzwwQd4PB4ALl++zL//+7+zadMmMjIyenXORPOFIrx+solXTzbiD8dWRTNzrXx1fu/CFrrT1tbGJ598orULCgqYP39+v845VEhxJIQQQnSn87S6EThylNLwDrpIdJpOdG3H53p+09sDpaWlXLx4UWsvWLCA6dOnx+38gyEYUDm4x01DbcfCd0eajiWrUrDaht56qRiKjqBtEkHbJHShNixth7C2lqAPxe4ppIu4sbiPY3EfB0BFT0RvJ6K3o177f/Q/K7qwB13IiT7Uii7Uii7s0hIQu6OiI2idgDtjNUFb/+Lcx44dy9atW/nwww+5fPkyEN1s+LnnnmPOnDmsWLEi6aeLhSMqH19s5XdHu4YtjE418ZW5OSzuZdhCd9rfuAhc+x1oNBpZv379kFwD2BfJ/VMgxAB49NFHefnll2/5vEOHDjFq1KhB6JEQIhmpMYEMQ2/9S38YPeextpVqbVfWeiLG+L27fvXqVfbs2aO1x40bx/Lly+N2/sHg80bYv8OFs7Ujqjsr18CiFTaMpuF1ExkxOPBkrMGTvgqj9yImz1lM3osY/FVdihuFMPqwU1u31FuqYiBgm4zfPh2/fSqqPn6bjNpsNu655x6OHj3Krl27tHVuR44coaKigg0bNpCdnZz7PB2+FrZQfl3YQqpZz8Ozs1k/Mb3XYQs3UlJSwtWrV7X2mjVrSE3tfm3XcCTFkRhxFi9efMPHLly4QGlpKYWFhYwePVr7xSmEGIFGaiBDJIij/jWtGTSPxpu2LG6nd7lcvPfee6hq9Kba4XCwfv365EpyuwW3K8y+P7nxuDsKo9FjjcxZbEOvHzpfR68pOoK2iQRtE3EDStiL0XcJk+ciRu/FLmlyPRXWpxC0FkfT82yT4x4T35miKMyZM4cxY8bw4YcfahsONzU18fvf/55ly5Yxb968pBkludzs4+nD9ZRdF7Zg0ivcOzWTTdMz+xy20J0jR46wf/9+rV1cXMzUqVPjdv6hQIojMeJs3bqVrVu3dvvYI488QmlpKQ888MCQ+kMthBgAIzSQwd78CYZgdCG+io623E2gxOfmKxwO895772nrPnQ6HXfddRdWa//WRwym1uYw+z914fd1jJgUTzUzbXaSRXUPAlVvJWCfTsAenQ6phH3owq3owm7tP0X72ENEbyNiSCNsSL32/3QiegfoBj+0Iisri0ceeYTt27dro5iRSITdu3dz/vx5br/9drKysga9X+0aPUG2HW3gowutXSYerimKhi3k2ON73U6dOsWOHTu0dnp6OuvWrRtxP9dSHAlxTVtbm5bl/+CDDya4N0KIhOsUyKCMkOJIF2zG1rJTa3vSVxIyF8Tt/Hv27NFilQFWr15NXl5e3M4/0BrrQ5TsdBHqyF5g+hwLxVMtietUElH1FsJ6C0NlzoXBYGDjxo3k5uayfft23O7o6ExtbS0vvPACixcvZsGCBej1gxes4Q1GeO1UI6+fbOoStjArz8bX5udSnBn/n7cLFy7w4Ycd+5mlpKRw//33D6k3LuIlOcYMxYhUUVHB6NGjefDBB/F6vfzkJz9h8eLFFBUVsWLFCv7jP/5Dm3YxGN555x18Ph9z585l0qRJg/a6QogkNQKn1aU0vo+iRhd6h/UOPJnr4nbuc+fOcfjwYa09depUZs6cGbfzD7TaqiD7dnQURooCcxdbpTAaBsaOHcsXvvAFpk2bph2LRCLs27ePF198kbq6ugHvQzii8sH5Fr75xgVePBabQjcm1cQPVo/hh58pHJDCqKKignfffVe757Jardx///04HI64v9ZQICNHIuECgQBbt27l7NmzWmGyb98+fvKTn+Byufje9743KP34wx/+AMCmTZsG5fWEEEkuJpBh+I8cGXxXsLiOaG131p2ouvgUhc3NzTHvSmdlZbF27dohM12n4nKAIyUe2t+v0+lgwXI7o0YPkT2MxC1ZLBbuuOMOJk2axMcff6xtfNrQ0MBLL73EggULWLRoUdwT7VRVpbTKzTOH67jSGoh5LM2i5+FZ0bAFfZzCFq5XXV3NW2+9RSQSXT9nMpn43Oc+N+TizeNJiqMkoKqqFpfYF6HQtXf5Bjk8wGQyxeUP26FDh1iyZAk7d+4kMzMTiC4IvPfee/nVr37Ft7/9bez2aFpNT5PmOnvyySfZsmXLTZ9TXV3N3r17MRgM3HfffX37QoQQw0vMmqNhPnKkqjgaOvY0CpoL8DnmxeXUwWCQt99+m2AwOuRiMpm4++67MRqHRmFx8ayfE4e9WttggEW3pZCdK7dQw9H48eP5whe+wO7duzl+PBpPHolEOHDgAKdPn2blypVMnDgxLvc/l5p9PF1ax5EaT8xxk17hvqmZbJqRic04cFP6GhoaeOONN7R/m+33QDk5OQP2mkOB/MtOAoFAgP/6r/9KdDd67S/+4i8wm/t/w6DT6XjiiSe0wghgzpw5rF27lu3bt3PkyBEt4vVmSXM3UlRUdMvnvPbaa0QiEdauXZu0MZ5CiEEWGDmbwJpdxzD6rmhtV9ZdoMRn5v2nn35KU1OT1r7jjjtIT0+Py7kH2tmTPs4c69iU1GRWWLraTlqG3D4NZ2azmXXr1jFp0iQ++ugjnM5oLHlbWxvvvvsuY8aMYdWqVX2+X2j0BPndkQY+vhgbtqAAayek8oU5OWTbBvbNg+rqat5++238/uibQDqdjs9+9rPk5+cP6OsOBfKvWyRcYWEhxcXFXY5PmDABIGau782S5vrj1VdfBeCBBx6I+7mFEENUcIRsAhsJktL4ntb026cTtHX9ndwXJ06c4MSJE1p7/vz53f6+TzaqqnL6mI/zpzpGD602haVrUkhxDN7ifJFYhYWFbN26lf3793PkyBFt6tnVq1d54YUXmDlzJkuXLu1xaIEnGOa1k028fqqJwHVhC7OvhS1MGIA1RZ2pqkppaSl79+7Vvh5FUdi4cSNjx44d0NceKqQ4Egl3o3cp2qfStb+rMVBOnTrFqVOntL02hBACQB0hgQy21j3oQ81ANLrblbUhLudtbW3lj3/8o9bOy8tj2bL47Zc0UFRV5cRhL5fOdXz/7Q4dy9akYLVJjtVIYzKZuO2225g5cyaffvop5eXlQPTn5NixY5w7d47Fixczc+bMG65Hag9beOFYA62+2CUQhWkmvjovlwUF9gFfg+fxeNi+fbv2NUC0MLr99tuHxJsWg0WKoyRgMpn4i7/4iz5/fnvEZCLWHMVDb34ZbNu2jZKSkl6df+vWrTedjtcexDDU9toQQgywwPAPZFBCLmzNn2htb9pSwqb+rzeIRCK88soreL3RtTpGo5E777xzUCOR+0KNqBw95OXKxY7CyJEWLYzMFimMRrKMjAzuu+8+Ll26xM6dO2lpaQHA5/Px6aefcvDgQebNm8esWbO0+yNVVTlYGQ1buOqMXVuebtHz8Oxs7igeuLCFzq5evcr777+vxZVDNK57w4YNFBTEL65/OJDiKAkoitKvtTvt71S0BzMMZyUlJb0OZFi2bNkNi6NIJMLrr78OyJQ6IcR1gsM/kMHe9CG6SPTrjOisuDM/E5fzHjp0iMuXL2vt1atXJ/06o0hEpWy/h8orHZsYpWXoWbrajskshZGIKioqYuzYsZSVlVFSUqKFGXg8Hnbv3s3BgweZO3cuaWOn8rsTrRyt7Rq28Llpmdw/fWDDFtpFIhEOHjzI/v37Y7ZHKSoq4vbbb5c3hbshxZEYUp566imeeuqpuJ1vz549VFdXU1BQMCSmewghBtEwD2TQ+2uxOjtG4t2Z61D1tn6ft6amhv3792vtSZMmxewfk4zCYZXSvR5qKjsKo4xsPUtuS8FoGhpx42Lw6PV6FixYwNSpUzl48CDHjx/XZu/4/X72799PqOQgbnMhZstY/HoLCrBuQhpfmJNN1gCHLUB01OrSpUscOHCA2tpa7bhOp2PFihXMnTt3yETpDzYpjsSI1h7EsGnTJnQ6eWdQCNFJp0AGZRiuOUppfAflWlZWyJiFN21pv88ZCAR4//33tYXeaWlprFu3LqlvwsJhlYO73dRVd8y+yM4zsGilHYMhefstEs9ut7N69WoWLVpEycFDHD12DMLRnyODGma87zLjfJcJ2rNZOGs6S2ePx2IZ2MIoFApx+vRpDh8+THNzc8xjqampbNy4kby8vAHtw1AnxZEYsXw+H++88w4gG78KIboxjNPqjJ5zmD1ntbYrayMo/b8l2LFjB62trUB0yviDDz4Yly0fBko4rHJgl5v6mo7CKK/AwILldvR6KYzErYUjKjuu+nmhbhTu1HQKfVco9JVjVKM/UwpgcjdwdN+nHC/Zxfjx45kyZQpFRUVx3VDW6/Vy7Ngxjhw5oq3162zSpEmsW7cuqf89JgspjsSI9cEHH9DW1sbMmTOZMmVKorsjhEg2wzWQQVVJafxAawYsRQTs0/t92rNnz3Lq1CmtvXr1asaPH099fX2/zz0QwiGVkl1uGmo7CqP8MUbmL7Whk8JI3IKqqhyodPHs4fqOsAWdkUu2YlrTJ7A+rRF/1XltjySIrv+5ePEiFy9exGg0kpubG/Nfenp6j0ZZVVXF5XJRV1dHbW0tdXV1VFVVdbv2vLi4mPnz58v+Rb0gxZFImMLCQiorK2/4+OOPP87jjz8+YK9/7733cu+99w7Y+YUQQ1znNUfDKJDB5DmD0X9Va7uyN0A/p721tbXx8ccfa+1Ro0axZs2afp1zIIVC0RGjmMKo8FphNAjJYWJou9Dk4+nSOo7dIGxh0/QsrEYdqrqCmpoazpw5w7lz52JGdILBIJWVlTH3QUajkZycHNLT09HpdCiKgqIo2scAzc3N1NXV4fHEvnZner2e6dOnM2/evKQPQklGUhwJIYQQ3emcVjdc1hypKvam7VrTb5tCyNK/jR9VVeWjjz4icK2YTPbY7lBI5cBONw11HYVRwVgj85ZIYSRurt4d5Pkj9fzpkjPmuAJ8pjiNrbNjwxYURSE/P5/8/HxWrVpFRUUFZ86c4cKFC1rKXWfBYJCqqiqqqqr61D+LxcKcOXOYNWsWNlv/w1VGKimOhBBCiOuokTB0nqIyTKbVmdynMPo7brzcmbf3+5wnTpzgypUrWnv16tWkpaX1+7wDIRRSKdnpprFTYTR6rJG5UhiJm/AEw/zhRBNvnG4iEFZjHpubb+dr83IYn2G56Tl0Oh3jxo1j3LhxBINB6urqYv67PjyhJxwOB7m5ueTl5ZGbm0tBQUFc1zGNVHIFhRBCiOsFYjdsHBaBDGoEe9OHWtNvn07IMqZfp3Q6nezcuVNrjx8/Pmlju0NBlf07XTTVd2yYPnqckXmLbShSGIluhCIqH5xv4fdHG2j1h2MeG5dm5qvzc5hfkNLr8xqNRkaPHs3o0aO1Y4FAgIaGBm3KnKqqqKpKJBKJ+b/dbteKIRkdGhhSHAkhhBDXC15XHA2DkSOz+wTGQLXW7u+Gr+3T6dqnB5nN5qSN7Y6OGMUWRmPGG5m7SAoj0ZWqqpRcC1uodMb+LsiwGvjC7GzWTUhDH8efHZPJREFBAQUFBXE7p+gbKY6EEEKI63UZORria46uGzXy2WcSMvfvJuz48eNUVFRo7dWrV5OS0vt30Qda+Fr4QmOnwqhwvIk5i6xSGIkuzjV6eaa0juN1sXHYFoPC/dOz+Ny0TCwG2RdxOJPiSAghhLhe5zAGvQElScMFesrsOoYhUAeAitLvUaPW1lZ27dqltSdMmJCUWyKEwyoHdsem0o0Zb2TOYmtSjnCJxKlzRcMWdlyODVvQKXB7cRoPz84h0yq3zSOBfJeFEEKI63UeORrqU+rUCPamj7SmP2UWYfOovp9OVfnwww+16XQWi4W1a9cmXbERCasc2hO7wevosdem0iVZX0XiuPwhnj1cx5unmwlGYsMW5ufb+er8XMalD/GRY9ErUhwJIYQQ1+u8AewQD2Mwu45gCEY3Yo3HqNHRo0dj9mZZs2YNdru9X+eMt0hE5dBeD7VVsfsYzV0ia4xEVCii8nJZJb/Zd4VWX+zmqePTzXxtfi5z85Pr51oMDimOhBBCiOt1DmQYysWRGo4dNXLMIWzK7fPpWlpa2L17t9YuLi5m0qRJ/epivEUiKof3eaip7NhHZtRo2eBVRKmqyr6rLn57uI6qtti9hjKtBr44J5s1RfENWxBDixRHQgghxPViptUN3Sk1lrYyDMFGAFR0uDP6PmrUPp0udG3/p2ScTqdGVMpKPFRVdNz05hUYWLBMCiMBZxu8PF1ax8n6rmELD0zP4l4JWxBIcSSEEEJ01TmQYagWR9eNGvkc8wibsvt8uhMnTlBV1bGB7Nq1a5NqnxVVVTl6yEtleUdhlDPKwILldnR6KYxGslpXgOfK6tlZ3hZzXKfAvTNH8blJKWRI2IK4Rn4ShBBCiOuow2DNkaXtCPpQM3Bt1ChzXZ/P5Xa7Y9Lpkm06naqqnCjzceVix4hfdp6BRSvs6KUwGrFcgTCvHG/kzTPNhK4LW1hQYOevPzOFCVl26uvrE9RDkYykOBJCCCGuN9TT6tQItpYdWtPnmEfEmNnn03366acErl0Tk8nE6tWr+93FeDpz3Melsx0FbWa2nkUr7egNUhiNRMGwynvnmnnxWANtgUjMY0UZZr46Lxq2kJMlgQuiKymOxIgUDod59tlneemllzh//jwGg4EZM2bwjW98g40bNya6e0KIRAsO7TVHJs+ZmH2NPBmr+nyuS5cuce7cOa29YsWKpNrs9fwpH+dOdhRGaRl6Ft+WgkEKoxFHVVX2Vbh4tqyO6uvCFrKsBr4gYQuiB6Q4EiNOOBzm61//Oh9++CF2u50lS5YQCoU4ePAg3/jGN/ibv/kb/tf/+l+J7qYQIpE6TatThuC0Oltzx6iR3z69zwl1gUCATz75RGvn5+czc+bMfvcvXi6f83PqqE9rO1J1LFltx2iSm9+R5sy1sIVTXcIWdDwwI5P7pmZilrAF0QNSHIkR51e/+hUffvghY8eO5fe//z3jxo0D4OzZs2zZsoV/+Zd/Yd26dSxYsCDBPRVCJMwQnlZn9F7G5CvX2v0ZNdq3bx8ulwsAnU7HunXrkiadruJSgGOlHTfC9hQdS9ekYDbLDfBIUusK8NuyenZ1E7awfmI6D8/KJl3CFkQvyG8QMeI899xzAHz3u9/VCiOAyZMn853vfAeAf//3f09I34QQSaJzWp1xaE2rszX/Sfs4YCkiZBnbp/PU1NRQVlamtRcuXEhWVlY/excfVRUByg54tLbFprB0TQoWq9zWjBQuf5inS+v41puXuhRGi0bb+be7i/jm4lFSGIlek98iImEqKioYPXo0Dz74IF6vl5/85CcsXryYoqIiVqxYwX/8x3+gquqtT9QLTqeTy5cvA7Bs2bIuj7cf++STT7TFx0KIEWiIrjnS+2swe85obU9G34ITwuEwH3/8sdbOyMhg4cKF/e5fPNTVBCnd54Frfx7MFoVla1Kw2eWWZiQIhlXeON3EI29c4PVTTTEpdBMyzPzwM4X8YE0hY9OGzr9bkVyknBYJFwgE2Lp1K2fPnmXu3LlMmjSJffv28ZOf/ASXy8X3vve9uL2Wx9PxTmNaWlqXx9PT0wHwer1cuHAhqaJqhRCDaIhOq7N3SqgLmvIJ2Cb36TxlZWU0NDRo7bVr12IwJP6WobkhxMFdbtRrAWRGk8LS1SmkOPSJ7ZgYcKqqsqeijd8erqfGdV3Ygs3Al+bksLooFV2STPsUQ1fif9OJEe/QoUMsWbKEnTt3kpkZjZo9cuQI9957L7/61a/49re/jd0ejdt89NFHefnll3t1/ieffJItW7YA0eJHr9cTDoeprKxk4sSJMc+9evWq9nFFRYUUR0KMVJ1HjoZIIIMu2Iy57ajW9mSsgj7cKLa0tLB//36tPWPGDMaMGROXPvZHW2uY/TvdhMPRtt4AS1bZSU2Xwmi4O10fDVs43RAbtmA16HhwRhb3TM2QsAURN1IcJQNVRYn4bv28G1CU6LdRCYfi1aMeUXWWPv3hvZ5Op+OJJ57QCiOAOXPmsHbtWrZv386RI0dYvnw5AIsXL+71+YuKirSPLRYLc+fO5dChQ7z00kv87d/+bcxzX3zxRe3j9kXIQoiRJ2YT2CEycmRr2YlCdEglbMjAnzKr1+dQVZU//elPhELRvyc2m40VK1bEtZ994XGH2bfDRTAQnUKl6GDRCjsZWXIbM5xVtwV4rqye3Ve6hi3cOTGdz8/OJt0iPwMivuQnKgkoER85l/5vorvRa/VFf4+qt/b7PIWFhRQXF3c5PmHCBADq6uq0Y1u3bmXr1q39er1vf/vbfO1rX+O//uu/yMzM5IEHHiAcDvPCCy/wwgsvYDAYCIVC6HTyLpQQI1ZgaAUyKGE3VudBre3JuA2U3o+oXLhwgStXrmjtVatWYbFY4tLHvvL7Iuz7kxuf99raEgXmL7WRM8qY0H6JgdPmD/PS8QbeOdtMKHYPVxaPSeErc3MYI2uKxACR4kgkXH5+frfH26fS+f3+bh/vq/Xr1/O///f/5p/+6Z/44Q9/yA9/+EPtsU2bNnHlyhUOHjyorT8SQoxAQyyQwdayB0WNrsOI6O14Hb0PTwgGg3z66adau7CwMOFTi4OBCPt2uHC7Ou6QZy+wUlA4NEbzRO8EwxHeOdvCi8cbcAdiq6LiTAtfm5/DrDx7gnonRgopjkTC9WbPjG3btlFSUtKr82/durXLdLxHHnmEDRs28Pbbb1NeXo7D4WD16tWsWrWKuXPnAjBlypRevY4QYhjpFMigJPm0OiXix9q6V2t70paDrvejKgcOHIjZ02jNmjUJ3dMoFFIp2enG2dJxkzxttoVxxclfrIreUVWV3Vfa+G1ZPbXXhS3k2Ax8cW4Oq8ZL2IIYHFIcJQFVZ6G+6O/7/PntCULtc8QHi6ob/KkWJSUlvQ5kWLZsWbdrlcaPH89f/uVfxhw7deoU9fX1FBUVkZ+fP+jXVAiRJGKm1SV3cWRxHkAXiS5UjygmvGldtym4lebmZkpLS7X2/PnzycjIiFsfeysSUSnd66apIawdK55qZuK0xE7xE/F3qs7Db0rrONsYu/baZoyGLXx2ioQtiMElxVEyUJR+rd1R9dFvo6oO/xv5p556iqeeemrAzv/LX/4SgC996UsD9hpCiCFgqKTVqWFsLbu0pi9tca//nrSHMEQi0RGalJQUFi1aFNdu9rY/Rw96qa3q+Js2tsjEtNlSGA0n1W0Bnj1cz96K2LAFvQJ3Tkrn87OySZOwBZEA8lMnRhyPx0NVVVVMjHckEuG//uu/eOmllyguLuYb3/hGAnsohEi4mLS65J3GZXadQB9qBUBFhyd9Za/Pcf78eSoqKrT2qlWrMBoTF3Zw+piPiksdxemo0UZmLbQmdIqfiB+nP8xLxxp491zXsIUlY1L48rwcxqQm7785MfxJcSRGnMbGRlavXs3UqVMpKipCp9NRVlZGZWUlhYWFPP/885jN8otZiBFtiAQyWFv3aB/7U2YTMXTd3PpmAoEAO3fu1Npjx47tNj10sFw66+f8qY7CNDNHz/xlNnQ6KYyGukA4wttnmnn5eCPuYGxVNDHTwtfn5zIjz5ag3gnRQYojMeKkp6fzpS99if3797Nz507C4TBjx47lscce45FHHtFS8oQQI9gQmFZn8F3F5CvX2p705b0+RzKFMFRdCXD8cMcmn440HYtX2tHrpTAaylRVZWd5G8+V1VPn7hq28KW5OdwmYQsiiUhxJBKmsLCQysrKGz7++OOP8/jjj8f9dR0OBz/96U/jfl4hxPCghkIQ7ggCSNZNYG2tu7WPg5axhCyFvfr8pqYmDh8+rLUXLFiQsC0MGmqDHN7v0dpWm8KSVSkYTbIQfyg7eS1s4dwNwhbumZqBSS/fY5Fckq44CgQCvP766+zevZuGhgZSUlKYM2cOW7ZsISsrq1fnKisr45133uHChQt4PB7sdjsTJ07k7rvvZtas3u8cLoQQYgToPGoESTmtThdyYm47prU9aSt69fnXhzA4HA4WLuz93kjx0Noc4sAuN9e6gtGksGR1Clab3DQPVVXOAL8tq2NvhSvmuF6BjZMz2DIzi1QJWxBJKql+MgOBAD/84Q85c+YMGRkZLFy4kPr6ev70pz9RWlrKj370I0aNGtWjc7311lv89re/RVEUpkyZQmZmJrW1tZSWllJaWso3vvEN1q9fP8BfkRBCiCEneN3G08bkK46srftRiI5uhfWp+FNm9Orzz58/z9WrV7V2okIYPK4w+z91075rgk4PS26z40jVD3pfRP85fSF+f7yR9842E1ZjH1tamMKX5+YyOjU5R2KFaJdUxdFrr73GmTNnmDx5Mj/4wQ+wWKKxne2Fzi9+8Qv+8R//8ZbncTqdbNu2DYPBwN///d8zdepU7bF9+/bxs5/9jOeee45Vq1ZpryGEEEIAMRvAApDA5LZuRYJYnfu1pjd9GSg9LyZCoRC7dnXEf48fP54JEybEtYs9EfBH2PepG78vehetKLBwuZ2M7KS6NRE9EAhHeOtMM690E7YwKSsatjA9V8IWxNCQNL+BQqEQ7733HgB/9md/FlO0fPazn2XHjh2cOnWKixcv3vKX+Llz5wiFQsydOzemMAJYunQpY8eOpby8nKtXr8bEOQshhBAxMd4GI4ouuaZ3WVxH0YXdAKiKEW9q7/YkKi0tpa0tureMTqdj1apVgx7CEA6plOx0427ruJGevdBKXkGSFaLipiKqyq7yNp4rq6POHbvXYq7dyJfn5rBynENi2MWQkjTF0enTp3G73eTl5VFUVNTl8SVLllBeXs7BgwdvWRz1dGpASkpKn/oqhBBiGIuJ8U6yKUCqirWlI4jB55iLqu95wmZbWxsHDx7U2nPnzh30EAY1olK6z0NzY0foxZSZFsZOSL7pi+LGTtR6ePpw17AFu1HH5llZ3D05A6OELYghKGmKo/LyaBxpd4URoBVE7c+7meLiYmw2G8ePH+f06dMxo0f79+/nypUrTJkypcfrl4QQQowggeTd48jou4wxUK21PWm9i+/es2cPoWsLfKxWK4sW9W7Uqb9UVeVEmZeayo5I57ETTEyanlzXWdzYVaef3x6uZ//V2LAFgy4atrB5ZjapZlkzJoaupCmOGhoaAG6YSJeZmRnzvJux2+088sgj/PznP+cf/uEftECGuro6Lly4wNy5c/nWt77V47499thjXY6ZTCYtDjo7O/uW51BVlebmZgwGQ9yHl9vPZzAkzbdzyOvrNVVVFZ1OR05Ojkwj6KT9Oubk5CS4J8OHXNP46nw9/ZVWmq8d11usyXWNz7ykfaimTSNzTM+TVysqKjhz5ozWXr9+PWPGjIlr9zrr7mf02OFmLp1r1dpjxtlYt6FANnntgUT/m2/2BPjN/iu8frS6S9jC2knZfHPFeMakWxPSt75K9DUdbobL9Uyau2mfLzosazZ3/+5R+xqk9ufdytKlS0lJSeFnP/sZp0+f1o6npaUxY8YMHA5HP3sshBBiOFI7rTlSkmnkyNcATWUd7fzbe/ypkUiEd955R2uPGjWK+fPnx7Fzt3bxbBsHdne8wZmda2btnflSGCU5fyjMS4er+O2BCtyBcMxjM0Y5+J+rJjCrIDVBvRMi/pKmOFJVtV+PX+/NN9/k+eefZ9GiRWzevJnc3Fzq6up48cUXef755zl37lyPNxh98sknb/p4Q0NDj/qnqiqBQAC9Pr7Dze2VevtUCdF/fb2moVAIVVV7NMI5krS/i1RfX5/gngwfck3jq/P1jNTXacdDOn3SXOOUhnewEf1bEzJm0RQcBT3s26lTp2Kiu5cvX05jY+OA9LNd52vaUBdi/46OaVg2u475y8y0tA5sH4aTwf43H1FVPr3s5Pmyeuo9sX8L81KiYQsrxjpQFH/S/BvpLfk9Gl/JcD0VRSE/P79f50ia4shqjQ7F+v3+bh9vP96T6O2TJ0/y3HPPUVRUxGOPPYbuWtLQ2LFjefzxx/n+97/P/v37OXLkCHPmzInTV3BrJpMJn8+H3d7zxbNiaPH7/ZiSbQG3EKJ3gsm35kiJ+LE4D2htb9oyUHq22D0QCLBnzx6tPXHixAGdTne9ttYwB7ts8mrHbJHF+snqeK2H35TWcaHpurAFk44tM7O5a3K6hC2IYStpiqP2dTs3eierqakp5nk3s2PHDiCacKe7LoJVp9OxePFiLl26xIkTJwa1OLJarbS2Rudam83muI0gtY9a9XZ0TdxYb69pOBzG7/fj8/lIS0sbyK4JIQZaIPnS6ixtpegi0RvViGLGl7qgx5976NAh3O5o9Lder2flypUD0sfueNwh9n/qIhiM/i7V6WHxbXZSHLJgPxldbfXzbFk9Jd2ELdx1LWzBIWELYphLmuJo3LhxAFy6dKnbxy9evBjzvJtpL6TaR6Ou137c5XJ1+/hAMRgMpKWl4fV6aW1tjVsx014ARiKRWzxT9FRvr6miKJhMJtLS0iQYQ4ihLthpBoMxCYojVcXask9r+lIXoOp6toF5a2srpaWlWnv+/Pmkpg7O+pBgMMKHb1fh9XT8rZu/1EambPKadFp8IX5/tIH3z7cQue7WZMVYB1+am0O+Iwn+LQgxCJLmN9TUqVOx2WzU1tZy6dKlLpHe+/dHdwPvyQLS9nfuL1y40O3j7cdzc3P70+U+MRgMWhhEvIqjZJjjOdz09ppKMp0Qw0jnQAZj4qfVGX2XMAQ71kF505b1+HN3795NOBxdRG+321mwoOcjTv2hRlR2fFBDQ13HtZwx10L+GLnBTib+UIQ3TzfzyolGvKHYNwOnZFv42vxcpuXYEtQ7IRIjaSaMGgwGNmzYAMBvfvObmFS6t956i/LycqZOncrEiRO14++99x6PPvoo27ZtiznX4sWLAdi1a1fMZncABw4cYNeuXSiKoj0vURRFkf+GyX9CiGGk87S6GySoDiZr637tY791EmHTraeXA1RWVnL+/HmtvXz58kFbE3niiI8rl9xae/xEE0WTE38tRVREVfnkYivfevMizx2pjymMRqUY+e5tBfy/9eOkMBIjUtKMHAFs2rSJY8eOcebMGb7zne8wdepUGhoaOHfuHA6Ho8veRE6nk6qqKpqbm2OOL1q0iKVLl7Jv3z7++Z//meLiYnJycqivr9dGjT7/+c9TUFAwaF+bEEKIIaJzIEOCp9UpoTbMrhNa25u2pEefp6oqu3bt0tp5eXkxG6IPpItn/Vw62zFilFdgYOY8q7yRlCSO1rh55nAdF5piA7BSTDq2zMpm4yQJWxAjW1IVRyaTiX/4h3/gtddeY9euXRw4cAC73c7q1avZsmVLj8IYIDoi89d//dd88skn7NixgytXrnD58mVsNhvz5s1j48aNzJ07d2C/GCGEEENTIHmKI6vzIArRaXFhfSoBe88KnHPnzlFbW6u1b7vttkEpTmoqg5w47NXaWTlm5i+1oMheRglX0ern2cN1HKh0xxw36BQ+OyWDh2ZkkSJhC0IkV3EE0QJpy5YtbNmy5ZbP3bx5M5s3b+72MUVRWLduHevWrYt3F4UQQgxnndYcJTStTo1gdZZoTW/aIlBuffMaCoVioruLi4sHZaZES1OI0r0dN972FAN3fLYAt6f5Jp8lBlqLN8QLxxr4oJuwhZXjHHxpTg6jJGxBCE3SFUdCCCFEIqkxaXWJWydj8pxFH2oBQEWHL3VRjz7v6NGjOJ1OIJq8uXz58oHqosbjjlCy08217AcMRlh/TwE2uwG3Z8BfXnTDH4rwx9NN/OFEE77rwham5Vj52vxcpmR3n+orxEgmxZEQQgjRWSA5NoG1tnbEd/vt04gYbr2Hmtfr5cCBjs1iZ82aRUZGxoD0r10wqFKy04XfFx2WUBRYuNxORpYEMCRCRFX50yUnz5fV0+gNxTyW7zDylbm5LC1MkTVgQtyAFEdCCCFEZ8HEbwKrCzZj8pzV2t60pT36vAMHDuD3R0e+TCbTgKeyRiIqpXvdtLV2jEzMWmAlZ5RxQF9XdO9IjZunS+u41BwbtuC4FrawYVIGRr0URULcjBRHQgghRGdJkFZndZagEB2JCRmzCFon3PJzWlpaOHr0qNZetGjRDTdDj5eTZV7qqjtGJ4qnmhlXLCNGg+1Ki59nDtdxqKpr2MI9UzJ4cGYWKSYJWxCiJ6Q4EkIIITrzd9oENhEjR2oIq7Njjz5v6hJQbh2tvGfPHiKR6AiOw+Fgzpw5A9ZFgEvn/Fw611FIjhptZNpsy4C+pojV7A3xwtEGtl/oGrawalwqX5ybTV6KhC0I0RtSHAkhhBCdBRO75sjsOoEu7AJAVQz4Uuff8nOqq6u7bPhqMAzcn/i66iDHO0V2p2XombfUJutYBok/FOGPp5r4w8muYQvTr4UtTJawBSH6RIojIYQQorMEp9VZW/drH/tSZqHq7Td9vqqq7Ny5U2vn5uYyefLkAeufsyXMoT1urs36w2JVWHybHYNBCqOBFo6ofHShheePNNB0XdhCgcPIV+blsmSMhC0I0R9SHAkhhBCdBRIXyKAP1GLyXdLaPQliOH/+PDU1NVp75cqVA3Zz7PNGKNnpInTtvlxvgMW32bFYbz3tT/TPgSvN/PunlzjXELuuyGHW8/lZWWyYlIFBNtsVot+kOBJCCCE667wJ7CAHMnQeNQqa8gmZC2/6/HA4HLPha1FREWPGjBmQvoXDKgd2ufF6Oha3zF9qJy1DbiUGUnmLn2e7CVsw6hTumZrBAzMkbEGIeJLfaEIIIcQ1qqombs1RJIClrVRretOWRjcNuonjx4/T2toKgKIorFixYkC6pqoqR0o8tDSFtWMz5loYNVoiuwdKkzfEC0fr+fBCa5ewhdXjU/ninBxyU+T6CxFvUhwJIYQQ7UIhUDvdiQ7itDqL6wi6SHTUKqKY8TtunjYXCAQoKSnR2jNmzCAzM3NA+nbulJ/KK0GtPa7YRNFkieweCL5QhNdPNfHayUZ8odiqaO7oVL44K4NJWRK2IMRAkeJICCGEaBeM3TxzMAMZrK0HtI99qfNQdTd/7bKyMrzeaGKcwWAYsA1fqyoCnDnm09rZuQZmzrfKov84C0dUPr7Yyu+ONtB8XdjC6FQTf7V6IrdNyKShoSFBPRRiZJDiSAghhGjXOYwBBm3kSO+vweiv0Nq+1JsXOh6Ph0OHDmntuXPnkpKSEvd+tTSFOLzfo7XtKToWLLehk4X/cVVa5eKZw/WUt8QW56lmPQ/Pzmb9xHTy87IS1DshRhYpjoQQQoh2ncMYFAUMg7Omo/Omr0HzaELm/Js+/+DBgwSD0WluZrOZBQsWxL1PPm+EA7vcRK4tMzIao5HdJrMk08XL5WYfTx+up6w6NmzBpFe4d2omm6ZnYpewBSEGlRRHQgghRLvOYQxG0+BMHVNDsUEMqYtu+nSn08nRo0e19qJFizCb4zv9LxRSKdnpxueNrnlRFFiw3EZKqtyox0OjJ8i2ow18dKGV67IWWFMUDVvIsUvYghCJIMWREEII0S4BexyZXSfRRaJrh1TFiD/l5kEM+/btIxKJAJCSksLs2bPj2h9VVSkr8dDa3JFMN3O+lZxRcrPeX95ghNdONfL6ySb84diyaGaeja/Pz6U405Kg3gkhQIojIYQQokPnQIZBCmOwOjsFMaTMQtXf+Oa4oaGB06dPa+2lS5diMMT3T/nZE36qKzqS6cZPNDF+oiTT9Uc4ovLRxVa2Hamn2ReOeWxMqomvzstl4Wi7hFwIkQSkOBJCCCHaDfIGsLpgEybvea3tu8WUus4bvmZmZjJ16tS49qeqIsDZE52S6fIMzJgnsdF9paoqh6vdPFNaT3lrbNhCWqewBb0EXAiRNKQ4EkIIIdoFBncD2M5BDCFjDkHLuBs+t7KyksuXL2vtZcuWodPFLxyhtTlEWedkOock0/XHpWYfz5TWUVbjiTneHrbwwIxMbEZZwyVEspHiSAghhLhGDQ7imiM1gsXZEcftTV0YTT7o7qmqyu7du7V2fn4+EyZMiFtX/L4IJbvchK/N+DIYYfFKOyaTJNP1VqMnyO+ONPDxxdiwBYVo2MIXJGxBiKQmxZEQQgjRbhCn1Zk8Z9GHnQCo6PA55t/wuRcvXqSmpkZrr1ixIm7rU8JhlQO73Pg8127lFViw3C7JdL3kCYZ57WQTr59qInBd2MKsPBtfk7AFIYYEKY6EEEKIdoM4rc7SaUqd3z4d1dD9Jq6RSIS9e/dq7fHjx1NQUBCXPqiqyrFDXpobO0ICZsyxkCvJdD0Wjqh8eKGVbUfraekmbOFr83NZUCBhC0IMFVIcCSGEEO06p9UN4LQ6XagNs/uU1valLrzhc8+cOUNTU5PWXr58edz6cfGsn4pLHQVhYZGJosmSTNcTqqpyqMrNM4frqGgNxDyWZtGzdXY2dxRL2IIQQ40UR0IIIUS7TiNHygBGeVvaSlGI7lUUNqQRsE3q9nnhcJj9+/dr7SlTppCdnR2XPtRVBzl5pCOZLiNbz6wFVhnh6IGLTT6ePlzH0W7CFu6bmskmCVsQYsiS4kgIIYRoNxiBDKqKpfPeRo4FoHQffHDy5Emczui6JEVRWLJkSVy64HKGObTXTXtigNWmsGiFHb1eCqObafAE+d2Rej656OwStrB2QhpfmJNNtk2mJAoxlElxJIQQQrTrXBwNUCCD0XcZQ7ARABUlmlLXjVAoRElJidaeMWMG6enp/X79YEClZJeb0LV9XvV6WLTSjtkiyXQ34gmGefVEE3883TVsYfYoG1+bl8sECVsQYliQ4kgIIYRoFxj4NUedR40C1olEjBndPu/o0aO43W4A9Ho9ixbdfIPYnlAjKqX73LjbItqxuUtspGXI7UB3whGVD8638MKxBlqvC1sYm2biq/NymS9hC0IMK/LbUAghhGgXUxzFf82REvZicR3X2r607gsev9/PwYMdaXazZs3C4XD0+/VPH/dRVx3S2pNnmCkoHOD9nIYgVVU5WBkNW7jqjA1bSLfo+cKcHD4zIU3CFoQYhqQ4EkIIIa6J2QR2AAIZzK6jKGp0PltEZ8Nvn9bt88rKyvD5omEJRqORhQtvnGbXU5VXApw/1VH85Y02MHmGTAW73oUmH0+X1nGstmvYwv3TM7l/WhZWo0xBFGK4kuJICCGEaBcY2EAGq/OQ9rHPMReUrn+GvV4vhw8f1tpz587FZrP163VbmkKUlXTc7DtSdcxfItPBOqt3B3n+SD1/uuSMOa4AnylOY+vsbLIkbEGIYU+KIyGEEKJd52l1cQ5k0AfqMPortPaN9jYqLS0lcK1IM5vNzJ8/v1+v6/dFOLDbTeTakhmjSWHRbXYMRimMIBq28IcTTbzRTdjC3FE2vjY/l/EZMsImxEghxZEQQgjRLibKO77T6izO0o6XMeUTMud3eY7b7ebIkSNae8GCBZjNfe9HJKxycI8bn+faTb8CC5bZsKfIHjyha2ELvz/aQKs/NmxhXJqZr87PYX5BSoJ6J4RIFCmOhBBCiHadRo6UeE6rUyNY2jqmyvlSF3T7tAMHDhAKRQMTbDYbc+bM6dfLHj/spam+48Z/xhwLOaNG9tQwVVUpqXTx7OF6Kq8LW8i4FrawTsIWhBixpDgSQggh2g1QIIPJcw59OLqWRUUfXW90HafTyfHjHUl2ixYtwmjseyFTfsFP+YWOr2fMeCNFk+MfMjGUnGv08kxpHcfrvDHHzXqFTdOzuG9apoQtCDHCSXEkhBBCtAsMzCawlraOKXV++1RUvb3Lc0pKSohEovsPORwOZsyY0efXa2oIcay0owBIz9Qze6FtxAYw1LmiYQs7LseGLegU+MyENLbOySHTKrdEQggpjoQQQogOnQMZ+rHWpzMl7MXsPqm1faldAxZaWlo4deqU1l68eDEGQ9/+RHs9EQ7udqNe2+fVbFFYuMKOXj/yCiN3IMwrJxp583QzwUhs2ML8fDtfmZcjYQtCiBhSHAkhhBDtgvEfObK4jqCo0XVEEb2dgG1Kl+eUlJSgqtGb97S0NKZOndqn1wqHVQ7uduP3Rc+l6GDhCjtW28iaKhaKqLx/roXfH2vAeX3YQrqZr83PZV5+19E7IYSQ4kgIIYQgulB/QIqjznsbpcwFJTYprqmpiTNnzmjtxYsXo9f3Pk1OVVWOHfLS0tRRDMyabyUze+T8qVdVlf1XXTx7uI6qtmDMYxlWA1+ck83aIglbEELc2Mj5jSmEEELcTOcpdRCXKG99oBaj/6rW9naTUtd51CgjI4MpU7qOLPVE+fkAFZc6irtxxSbGFY+cAIazDV6eLq3jZH1s2ILFoHD/9Cw+Ny0Ti2FkjaAJIXpPiiMhhBACUP3XFUdxGDmK2dvIXED4ur2NGhsbOXv2rNZesmQJOl3vb+Ab60IcP9xRFGRk6Zk5z9qHHg89ta4Az5c18Gl517CF24vTeHi2hC0IIXpOflsIIYQQgBrvkSM1HLu3kaPrqNG+ffu0jzMzM5k0aVKvX8briXBwj5trg09YrNEABt0wD2BwBcK8cryRN880E7oubGFBgZ2vzMtlXPrIGTkTQsSHFEdCCCEE1xVHOh1KH9Pi2kX3NmqLnhs9Pkfshq719fVcuHBBay9durTXUdvhsMqBXW4CfrW92yxcYcdiHb7Tx4JhlffONfPi8UbargtbGH8tbGGuhC0IIfpIiiMhhBCC64qjOGwAe6u9jTqPGmVnZ1NcXNyr86uqyrGDXlqbOwUwLLCSkTU8/7Srqsq+ChfPltVRfV3YQqbVwBckbEEIEQfD8zeoEEII0Uuq39fRMPVvvZES9mB2dd7bKHZKXW1tLZcuXdLafRk1Kj8foOJyRwDD+Ikmxk4YntPIzjR4eabbsAUdD0zP5L5pmZglbEEIEQdSHAkhhBBcN3LUz/VGFtcRFKIjOmF9CgHb5JjHO48a5ebmUlRU1KvzN9ZfF8CQrWfG3OEXwFDrCvBcWT07y9tijusUWD8xnYdnZZMuYQtCiDiS3yhCCCEEQOe0un4m1XVOqfM75sXsbVRdXU15ebnW7u2okdcT4dD1AQzLh1cAg8sf5uUTjbzVTdjCwgI7X5mfy9i04TlKJoRILCmOhBBCCK4fOep7cdRlbyPH/JjHO48ajRo1inHjxvX43OGwyqE9bvy+aMGg6GDB8uETwKCFLRxroC0QiXlsQkY0bGH2KAlbEEIMHCmOhBBCCK4PZOh7cWRxdsR3R/c2GqW1Kysrqaio0Nq9HTU6XuqlubFTAMN8K5nZQ/9Puaqq7Klo47eH66lxxYYtZNkMfGlODquLUtH1cl2WEEL01tD/jSqEEELEQWwgQx+nbKkRLK4yrem7btRo//792scFBQUUFhb2+NTlF/xcudgRwDB2golxxUN/atnpei+/Ka3jTENs2ILVoOPBGVncMzVDwhaEEINGiiMhhBCC+AQyGL2X0Idao+dDhy+lY2+jyspKrl7tmG63ZMmSHo8aNTeGOF7aUTykZ+qZOX9oBzBUt0XDFnZf6Rq2cOfEdD4/O5t0i9ymCCEGl/zWEUIIIYgtjpQ+TqvrvLdRwDYJ1ZCita8fNRozZkyPzun3RTi4203k2hIcs0Vh4Qo7+iEawNDmD/PS8QbeOdtMKHZZEYvHpPCVuTmMkbAFIUSCSHEkhBBCEIc1R5EAZtdxrdl5Sl1fR40ikWgAg897LYBBiQYwWG1Db5pZMBzhnbMtvHS8Add1YQvFmWa+Ok/CFoQQiSfFkRBCCEH/N4E1u0+gU6NrgiI6M377NO2xvo4anTrio7G+I4BhxlwrWTlD60+3qqrsudLGb8u6hi1k2wx8aW4Oq8ZL2IIQIjkMrd+wQgghxEDp55qjzil1/pRZoDMCcPXq1T6NGlWWB7h4tqNPo8cZGT+pf/svDbZjVU6e/PhK92ELM7O4Z4qELQghkosUR0IIIQSgxmwC27viSBdyYvKe19qdp9SVlJRoH48ePbpHCXXOljBlBzxaOzVdx+yFtl7FfidSdVuAp0pO8cm5hpjjOgU2TEpnyywJWxBCJCf5zSSEEELQv01gzW1lKETXBYUNGQQt0Y1duxs1upVAIMKBXW4i12bTGU3RAAaDIfkLI+e1sIV3bxS2MC+HMakStiCESF5SHAkhhBD0L5DB0tYxpc7nmAtKdKrY9aNGt1prpKoqh/d58Lg7Kov5S23YU/S96s9gC4YjvH22mZeON+K+LmxhYqaFr83PZWaeLUG9E0KInpPiSAghhOC6aXW9WHNk8FdjDNRobZ9jHtC3UaOzJ3zUVYe09pRZFnLzjT3uy2BTVZVd5dGwhTp3bNhCnsPMN1eMZ04mErYghBgykq44CgQCvP766+zevZuGhgZSUlKYM2cOW7ZsISsrq9fnq6mp4fXXX+fYsWO0tLRgsVjIz89n8eLF3HvvvQPwFQghhBiK+jqtrvPeRkFzIWFTDtD7UaPaqiBnT3T0IW+0gUnTkncK2sk6D0+X1nG20Rdz3G7U8eCMLL66cjJmg476+voE9VAIIXovqYqjQCDAD3/4Q86cOUNGRgYLFy6kvr6eP/3pT5SWlvKjH/2IUaNG9fh8JSUl/Nu//RuhUIjx48czadIkXC4XV65cYfv27VIcCSGE0MROq+thUaKGMbcd0Zq+1L6NGrnbwpTuc2ttu0PHvMX2pAxgqHIG+G1ZHXsrXDHH9QpsmJzB52dmkWoxSAqdEGJISqri6LXXXuPMmTNMnjyZH/zgB1gsFgDeeustfvvb3/KLX/yCf/zHf+zRuS5fvsxTTz2F1Wrlf/2v/8XUqVO1xyKRCJcuXRqQr0EIIcQQ1ak4Uno4cmTynEcfbgNARY8vZTbQu1GjUEjlwG43oWuz0vQGWLTCjtGUXIWR0xfixeONvHu2mbAa+9jSwhS+PDeX0alDK2pcCCGulzTFUSgU4r333gPgz/7sz7TCCOCzn/0sO3bs4NSpU1y8eJEJEybc8nxPP/00oVCIb33rWzGFEYBOp6O4uDi+X4AQQoghLXYT2J6NHHUOYgjYp6Dq7VRWVvZ41EhVVY4e8NDW2hFiMHeRDUda8gQwBMIR3jrTzCvHG3EHY8MWJmVFwxZm5ErYghBieEia4uj06dO43W7y8vIoKirq8viSJUsoLy/n4MGDtyyOrl69yqlTp8jPz2fBggUD1WUhhBDDSG/T6pSID7P7pNb2XtvbqPOoUUFBwU1HjS6fC1B5pSPIYMJkMwVjk2P0JXItbOG5sjrq3KGYx3LtBr40N5eV4xwStiCEGFaSpjgqLy8H6LYwArSCqP15N3P8+HEAZs+eTSAQYM+ePVy8eBGAcePGsWzZMmw2eZdLCCFEh9i0ulsXKGbXcRQ1WthEdFYC9ilUVVVRUVGhPedmo0ZN9SFOlHm1dlaOnmlzLDd8/mA6Uevh6cN1nOsmbOGhmVncPSUDk17WFAkhhp+kKY4aGqK7aN8okS4zMzPmeTfT/ofJZDLx3e9+l6qqqpjHt23bxuOPP8706dN71LfHHnusyzGTycRPf/pTALKzs3t0noFiMES/jTk5OQntx3Ai1zS+5HrGn1zT+DIYDDEjR5l5ozDc6trWndA+VHKWkJObzzvvfqAdGzduHPPmzes2VMHjDvHhviuo19bu2Ox61t8zFqstsX+WrzR7+I+dl9l5sTHmuF6nsGl2Pl9fMpY0a8+ixeVnNL7kesafXNP4Gi7XM2mKI58v+u6U2dz9PO/2NUjtz7sZtzua+PPOO+9gt9v5m7/5G2bOnElLSwuvvPIKu3bt4oknnuDJJ58kIyMjTl+BEEKIoUoNh9ESEQDlVmuO/E3gPNPRzllGRUUF58+f1w6tWbOm28IoElb55P1qvJ4wADodrNuQn9DCqNkT4On9V3jtWA3hSGzawpqJWXxzRRGFGdYE9U4IIQZP0hRHqqr26/HOIpHogtFwOMxf/dVfMWfOHABsNhv/83/+T6qrq7lw4QLvv/8+n//85295vieffPKmjzc0NPSqf/HWXqHLXhLxI9c0vuR6xp9c0/jKSrHHtBtdbhTlxtfW1ryDFKK/90PGTJq8Dt5//w3t8VGjRpGamtrt9+f4YS+1VR2jVNPnWlEMLurrXV2eO9AC4Qhvnm7mlRONeK4LW5icZeHr83OZlmuDUO/7Jz+j8SXXM/7kmsZXMlxPRVHIz8/v1zmSpjiyWqPvSPk7z/nupP145xS7G2l/TmZmplYYdbZ27VouXLjAiRMnujwmhBBiBApc97fnFoEMlrYy7WN/ylxqamtj1sQuXry421GjyisBLp3teK0x44yMnzj4AQwRVeXTy06eL6un3nN92IKRL8/NYeU4R1LusySEEAMpaYqj9nU7jY2N3T7e1NQU87ybyc3NBW4857H9uNPp7HU/hRBCDD/q9cXRTQIZ9P5qDIEare1zzKXkvb1aOy8vj3HjxnX5vLbWMEdKPFo7NU3HrIW2QS9Ajtd6+E1pHReargtbMOnYPDOLuydnYJSwBSHECJU0xVH7H5Ibbc7aOW3uVsaPHw+Ay9X9FIC2tuiGfT0ZhRJCCDH8xRRHegOK7sb7DHUeNQqax1DdonL58mXtWHejRsFgdKPXcHSZEQYjLFxpx2AYvMLoqtPPs4frKbka+7fRoIONkzPYPDObVHPy7K8khBCJkDTF0dSpU7HZbNTW1nLp0qUukd779+8HYP78+bc816xZszCbzdTU1NDQ0NBltOnkyei+FDeKDRdCCDGy9HgDWDUSUxz5HPPYv3O/1s7NzdXeoNM+RVUpK/HgbutY0zN/qR17yuAUIi2+EL8/2sD751u4LmuBZYUOvjIvh3xHcuytJIQQiZY04+YGg4ENGzYA8Jvf/CYmle6tt96ivLycqVOnMnHiRO34e++9x6OPPsq2bdtizmU2m9m4cSPhcJhf//rXMecqKytjx44dKIrC7bffPsBflRBCiKEgZuToJlPqjN5L6MPRKdkqOq76CmJmPHQ3anThjJ+aqx1JeJOmm8kr6Fkcdn/4QxFeOdHII3+8yLvnYgujKdkWfrp+LP+fVaOlMBJCiE6SZuQIYNOmTRw7dowzZ87wne98h6lTp9LQ0MC5c+dwOBx861vfinm+0+mkqqqK5ubmLud68MEHOXXqFKWlpXznO99h4sSJOJ1Ozp49i6qqfP7zn48ptIQQQoxcMRvA3iSMofOoUcA2iX2HOoJ9srOzu8xIaKgNcupoxxt0OaMMTJkxsFO6I6rKjktOnj9ST8N1YQujUox8eV4OywslbEEIIbqTVMWRyWTiH/7hH3jttdfYtWsXBw4cwG63s3r1arZs2dKrzVbbz/XGG2+wc+dOysrKMBqNzJw5k7vvvrtH0/OEEEKMDDEjRzcqjiJBzO5jWrOeYi5cOKy1lyxZElNweD0RDu31cC3xG6tNYf5SG4pu4IqSozVunjlcx4Wm2ICJFJOOLbOy2TgpXcIWhBDiJpKqOIJoUbNlyxa2bNlyy+du3ryZzZs33/Bxg8HApk2b2LRpUzy7KIQQYpjpyZojs+c0uki06IgoJv50pEV7LDs7mwkTJmjtSFjl0B43AX+0MtLpYOFyOybzwBQmFa3RsIUDldeHLSh8dkoGD83IIkXCFoQQ4paSrjgSQgghBl0P1hx1nlLnNE7k9LmOtUaLFi2KGTU6UealuTGstWfOt5KeFf8/uS3eEC8ca+CDbsIWVo5z8KU5OYySNUVCCNFjUhwJIYQY8WKn1XUdOVLCbkzuM1r7wKWOUZjMzMyYNaxXywNcPh/Q2oVFJsZOiG+B4g9F+OPpJv5woglfKBLz2LQcK1+bn8uUbGtcX1MIIUYCKY6EEEKMeLdKqzO7jqMQHQkKKXZ2HWvQHus8auRsCXP0QKeNXtP1zJpvjVv4QURV+dO1sIXGbsIWvjIvh2UStiCEEH0mxZEQQogRr3NandJNIIOlrSN44VxLJuFItDBJT09n0qRJQHSj14N7OjZ6NRoVFq6woY/TRq9Hatw8XVrHpebYsAXHtbCFDZMyMOqlKBJCiP6Q4kgIIcSIFztyFDutThdswuQr19p/Ou4FovsULVq0CJ1O1+1Gr/OW2uKy0euVVj/PltZxsModc1zCFoQQIv6kOBJCCDHixexzdN20us5BDK1BG5Wt0T+dqampTJkyBYCLA7DRa4s3xLajDWy/0DVs4bZxDr40N4e8FAlbEEKIeJLiSAghxIh3w0AGVY0pjg5cMgDRqWvto0YNdaG4bvTqD0X446km/nBSwhaEEGKwSXEkhBBC3CCQweCvwhCs19pHKqOFk8PhYOrUqfi8EUr3ulE7bfQ6r48bvYYjKjsuO3m+rJ5Gb2zYQr7DyFfm5bJ0TIqELQghxACS4kgIIcSId6NNYDsHMZQ3mWj2Rv9sLly4EEXRcWiPC78vdqNXcx82ei2rdvPM4W7CFsx6Pj8rizsnStiCEEIMBimOhBBCjHix0+qujRypYcyuI9rhsqroVDm73c60adM4dcRHU0PHRq8z5vV+o9fyFj/PHq7j0HVhC0adwj1TM3hgRhYp/3/2/js6juvOF32/VZ0TMhogAgGCJEgCJBGYgyQqU8GyLNviyJYtaew5d2bs+6zxnLeWz7HGHj/bbzzvrOO5b+48a3zmjJWDJStYkaISxSQGECASQRAkQDAgdSN1jlXvjwaq0QgkQgNoAN/PWlrCru6u3l1sEv3rvfd3axm2QEQ0V1gcERHRkjfePkda70Wowi4AQFgCGjoj63w2bdqEnk4Jreejj8kr1KBg5eTDEfq8IbxSZ8MnFwfHhC3cXJCER8szGLZARDQPWBwREdGSN14gg25EEMN5mw7eoAij0YiC5evw5ecjNnpNFrFhk3FSa4F8IQlvN/XhrbO98IViq6JSayRsYXU6wxaIiOYLiyMiIlryYjaB1eoAKQCdq1E5VtsRKVjKyypw5oQf4aG8BLUG2LzLBPUNNnoNSzI+bxvEi7V29I8KW8ixaPF4RSa2MmyBiGjesTgiIqIlTw6MDGTQQuc+B1EOAAD8IQHN3Xro9XrI/pVwOUZs9LrNBJPl+muCajrdeKa6B+0DsWELSToV/mJDBu5enQL1NNLtiIgo/lgcERHRkhezCaxGG7O30dkuPYKSgJXLN6LrWvRuq9bqkJ078Uavl/p9eLbGhprOsWELDwyFLZgYtkBElFBYHBEREY1YcySoJWg9zUr7TIcBWq0OvsEiDI/vpFvVWLNh/I1e+7whvFxrw6etY8MW9hQm4dtlmbCaJy6qiIho/rA4IiKiJW9kIINefQ1CKDJ1zukT0WrXIj1lLQRE0uP0BgGbdhghjpoK5w1K+HNTH9482wt/OLYqWp9lxBMVVqxKH7+gIiKixMDiiIiIlryR0+r08kXl57pOAwRRC6NmLQBAEIBNO0zQ6aMbvYYlGZ+2DuLlWhv6fdF9jwAgNykStrAll2ELREQLAYsjIiJa0uRQCJAiRY0qSQNtuFO5rbZDD4thLVRiJN67pNyAtMzIr05ZllHT6caz1Ta0D8aGLSTrVHhkYwbuXMWwBSKihYTFERERLW3BgPKjviRZ+dnmUqFz0ID8zHUAgJx8DVasjkyta+v34dnqHpzp8sScSqsS8MDaNHy9NA1GDcMWiIgWGhZHRES0tAWjoz6GEcVRXYcBFuMaqEQ9zBYRZVuM6POG8FKtHZ+1DmJU1gJuXREJW8g0MWyBiGihYnFERERL29B6I3WmDprMaGBCXYcZycZSqNTA+m0GvNZkx9tn+8aELWzIMuKJSitWpjFsgYhooWNxRERES9vQtDp9aYpy6Eq/BkF5HdQqA4R84L8evISBUWELeUlaPFFpxaYcE8MWiIgWCRZHRES0tAUDgABoStOUQ7UdRiSbStGu9uHjloGYuyfrVfjWxgzcuTIFKoYtEBEtKiyOiIhoaQsEoM43QW+OxHOHJaCtvwROvQaf+vqUu2lVAh5cl4avlTBsgYhosWJxRERES1vQj0BlrtK8aNchrCnHp+EBSAAEALcWRcIWMowMWyAiWsxYHBER0ZLmdruRU6QDIAEAztkKcFgIwSNL2JhtxBMVVhQxbIGIaElgcUREREtSWJJx4MIA5K5uPL4uUhgFQgIOujZBlQz8rCIPlQxbICJaUlgcERHRkiLLMqquufFsTQ/CDhm/Kjyn3HbOnoqKrcvx/1yZzLAFIqIliMUREREtGa19PjxT3YO6bg+MEPGg1I/iDJdyu/ZKEHfvTpm/DhIR0bxicURERIuezR3ES7U2HGxzQAYgArhNTEaB+SOoh4LnvH4geXA+e0lERPONxRERES1anmAYbzT24Z1zfQiEZeX4VtGCpKAN67PsyjH3OQcEdcZ8dJOIiBIEiyMiIlp0QkNhC6/W2THoD8fcttVkRqnPCFfwExSmB6I31NmBlevmuKdERJRIWBwREdGiIcsyTl5z4bkaG645AjG3pepVeKQ4E+FmwBnowBrrNQxnLvgHQwh2eCGs1c5Dr4mIKFGwOCIiokWhpdeLZ6t70NDjjTmuUwl4qCQd961KRdVBN5yhMAbcdSgrjd4v0Ngf+UGrm8suExFRgmFxREREC1qPK4gXa2344pIj5rgoALcXJeORjRlIM6hR/aUHLqcEX7AbSbpryEkOKff1Ng5EftBw5IiIaCljcURERAuSOxDGnxp78e65fgQlOea2imUmPF6RicJUPQCg9bwfHVeCAIABdx12F0ZHjYIOEeG+oSl4WhZHRERLGYsjIiJaUEKSjI9aBvBqvR2OUWELBSk6PFFpRcUyk3Kszx7C2TORYsgXsMEX6ERZjk+53XtNjJ5Aw2l1RERLGYsjIiJaEGRZxsmrLjxbY0OHc1TYgkGNR8sycOuKZKiGUxYA+H0STh9zQx4aWHL46rA8NYhUY6SokiHAe1mKnogjR0RESxqLIyIiSngtvV48U92DxlFhC3q1gK+VpOPBdWnQq8WY2yRJxukvPfB5I5VRIGSH23sNtxWNmFJnKILkaI4+iIEMRERLGosjIiJKWD2uIF6oteHQBGEL3yrLRJph/F9lzQ0+9PZEQxdCqrMQBRnrl0WLI5+lHAjUK22BgQxEREsaiyMiIko4rkAYb0wQtrApx4THKqwoSJl4lKfrWhAXmvxKOzndibazl7DG6odJGzmfLKjhN60HgiOm6HFaHRHRksbiiIiIEkZIkrG/pR+v1vfCOSpsYUWqDo9XWFE+ImxhPG5XGDUn3ErbnCTC6Y+MDpXlREeN/Ma1kFV6IBgtohjIQES0tLE4IiKieSfLMo5fdeH5mh50OIMxt6UNhS3sGRW2MJ5wSEbVUTdCQ6dQqYFVpX689fYFaFUS1mZFU+p8lvLID4ERxRHXHBERLWksjoiIaF6dt0fCFs7aRoctiHioJA0PrkuDblTYwnhkWUZ9tReOgWj6XNkWIxqaPgcAlGT5oFVFjkuiHgHTmkgjwGl1REQUweKIiIjmRbcrgBfO2HC43RlzXBSAO1em4JGNGUidIGxhPJdbA7jSFi10VqzWwpTkwfnz5wEAG3Ojo0Z+8wZAUEOW5dg1RwxkICJa0lgcERHRnHL5w3i9sRfvNfcjNCpsYXOOCY9VWrE8eWrT2wb6Qmiojo48paarUFJmwKefHYUsyzBpw1iVEZ0+p0ypC4WgbIIEcOSIiGiJY3FERERzIhiOhC38sd4OZ0CKuW1Fqg5PVFpRln39sIXxBPwSqo66IQ2dUqsTsGmnCU6XA+fOnQMAbMzxYXi5UlidjKC+cKhT/tiTcc0REdGSxuKIiIhmlSzL+PKKE8/V2NDlig1bSDeo8Wh5Jm4pTLph2MK455ZkVB/3wOsZGv0RgE07jDAYRRz7tCoybQ5AZX506pzPXA4IQ2uYAqOKI6bVEREtaSyOiIho1jQPhS00jRO28I3SNDywdnJhCxM5f9YPW1d0o9d1G/TIyNLA6XSiqakJAJBhCmGZZZyUOiA2jEEQADV/LRIRLWX8LUBERHHX5Qzg+TM2HL08Nmzh7lUp+IsNGUiZQtjCeHo6gzjfGC16snM1WLk2MvJTVVUFaWie3dYV0f2SgtplCOuyoycZEcYgaHUQhKmPXhER0eLB4oiIiOLG6Q/j9QY73j/fj1DssiJsyTXhsQor8qcYtjAejzuM6uMepW0yiyjfaoQgCHC5XGhsbBy6RUZ53jhBDMNiYrw5pY6IaKljcURERDMWDEv44PwAXmuwwzUqbGFlmg6PV1ixcRphC+MJh2VUHfUgGIisJxJVwOZdJmi0kVGf6upqZdSoeJkKRtENAJAhwG8piz3ZiDVHgk4fl/4REdHCxeKIiIimTZZlHLvsxPNnxoYtZBjV+E55Jm4uTIIYx+lqDdVeDPZHp8qVbTYiKSWyu6vH40F9fb1y263rowVP0FAESZ0ce7IRaXUCR46IiJY8FkdERDQtTTYPnqm2odkeG7ZgUIv4xvp0fGVN6ozCFsZzudWPy63RqXCFq7TIK4zuTVRdXY1wOFI4mU0G5Oo6gKGBLJ+lYuwJA7FrjuSx9yAioiWExREREU1J51DYwrGJwhY2ZiBFH/9fLwN9IdSfjhZiKWkqlJQblLbH40FdXZ3SvnPLMohSKwBAFtTwm0vHnFMeGcigY3FERLTUsTgiIqJJcfrD+GODHR+OE7awLc+M75ZnIi8OYQvjCfglVB3zxGz0unmXCSpVdLpeTU0NQqFIrLder8e6jAFgKLPBb1oHWRxnTVGA0+qIiCiKxREREV1XMCzh/fP9eK2hF+5RYQur0vR4otKK9VnGWXt+WR7a6NU99NwjNnod5vV6Y0aNtlZugMH7gdIed0odEDutTsfiiIhoqUu44igQCODtt9/G0aNHYbfbYTabUVZWhn379iE9PX3a5+3s7MR//a//FcFgEGVlZfjpT38ax14TES0+sizjSLsTL9Ta0D0qbCFzKGzhpjiHLYznfKMvZqPXtUMbvY505swZBIORPur1emwuEiD0RR4jiUYEjKvHP/mIQAZGeRMRUUIVR4FAAL/85S/R3NyM1NRUbN68GTabDQcPHkR1dTV+9atfITs7+8YnGsf/+l//S5luQURE13e2x4NnqntwvtcXc9yoEfGN0nR8ZW0qtKr4hi2Mp7sjiPON0QImO1eDVWtjixifz4czZ84o7YqKCpi9tdHbLRsBYYJfd6MCGYiIaGlLqOLorbfeQnNzM4qLi/HUU09Br4/MD3/vvffw/PPP4+mnn8YvfvGLKZ/3s88+Q2NjI+644w588skn8e42EdGi0ekM4LmaHnx5xRVzXCUAe4tT8Rfr05E0C2EL4/G4wqg5Mf5GryONHDXS6XSoKCmApvMt5XafuXziJ4kJZOA+R0RES13CFEehUAj79+8HAHzve99TCiMAuP/++/HFF1+gqakJra2tKCoqmvR5BwcH8cILL2DDhg3YtWsXiyMionE4fCH8saEXH57vR3hUZNu2PDMeq7AiN0k7/oNnQTgk49SIjV5VozZ6Heb3+2NGjcrLy5EUOAdhKHcurE5DSL984idiIAMREY2QMMXRuXPn4Ha7kZWVhRUrVoy5fdu2bWhvb0dVVdWUiqNnnnkGgUAAf/VXf4Xe3t54dpmIaMELhCW819yPPzX0wh2MDVtYna7HExVWlM5i2MJ4ZFlG/WkvHAPRjV43bolu9DpSbW0tAkNT47RaLcrLy6Hr/nfldp+lHLjemqggp9UREVFUwhRH7e3tADBuYQRAKYiG7zcZ1dXVOHbsGB5++GFkZ2ezOCIiGiLLMg63O/HCGRt63LFhC1aTGt8pt2J3gWXWwxbG034xgCuXRm30WjB21Mrv96OmpkZpl5eXw4g+aAJdyjGfpfz6T8aRIyIiGiFhiiO73Q4AEybSpaWlxdzvRnw+H/7zP/8TOTk5ePDBB2fUtx//+Mdjjmm1WvzmN78BAGRkZMzo/DOlVkf+GDMzM+e1H4sJr2l88XrG30yu6Zlrg/i3Q2042x27iatZq8JjW5fjG+U50KlnP2xhPD1dPjTWDChta7Yet9yZF7Of0bAvvvgCfn+kuNHpdLj99tthtEXju2XzCqTlllz3+foFAcPlkcpg4Hs0jvj3Pr54PeOP1zS+Fsv1TJjiyOeLJCLpJthnYngN0vD9buTVV1+FzWbDz372M+UPi4hoKbvc78HTRy7hi4uxo+gqUcBDG5fhiW3LkWLQTPDo2ef1hPDZh53KRq8Gowq37V02bmHk9/tx9OhRpb19+3YYDXrAfiJ6p4ztN3xOORD9ncJABiIiSpiqQZblGd0+0sWLF7F//37cfPPNWL9+/Uy7ht/+9rfXvd1ut0+pf/E2XKHbbLZ568Niw2saX7ye8TeVa+rwhfBqQy/2jxO2sD3fjMfKrchJ0iLoGoDNNf45ZpskyTj+hRsed2TLBUEAKrYZ4Pb2w+0de/+qqip4vZEbNBoNiouLMXD5BFID/QAAGSLsKIJ8g+sTdkVfsKTW8D0aR/x7H1+8nvHHaxpfiXA9BUHAsmXLZnSOhCmODAYDAChTJEYbPj4yxW484XAYv//972E0GvHd7343vp0kIlpAAmEJ753rx+uNvfCME7bwl5VWlFjnNmxhIufqfejtie5FV1KmR7p1/F9RwWAQ1dXVSnvjxo0wGAzQd0fXHwWMqyGrzTd+YgYyEBHRCAlTHA2v25koNKGvry/mfhPp7e3FpUuXkJKSMmbEx+12AwAuXLiAf/zHf4Rer8dPfvKTmXadiCihSLKMw5cceLHWhh537ObXVpMG3y3PxO4Cy5j9guZLx5UALp6LfjGWs1yDFcUTFyr19fXKFGu1Wo2KigpACkDnalDu47NUTu7JGchAREQjJExxVFBQAABoa2sb9/bW1taY+93IwMAABgYGxr3N7Xbj7NmzMBoT4xtTIqJ4aej24JnqHlzoi12fadKKeHh9Ou4rToVGNT9hC+NxOsI4czK60aslSUTZ5rEbvQ4LBoM4ffq00t64cSOMRiN0zhqIcmQUSBJ18JvWTa4DI4sjrjkiIlryEqY4Wrt2LYxGI7q7u9HW1jYm0vvEicgi28rK638baLVa8dprr417W2NjI37xi1+grKwMP/3pT+PTcSKiBHDV4cfzNTacuBq7aEgtAvesTsXDGzKQpBu7T9B8CgVlVB1xIzw0uKXWAJt3m6DWTDyiVV9fr6w1UqvVyu8EvSM6pc5v3giIkwyW4LQ6IiIaIWG+PlSr1di7dy8A4A9/+ENMKt17772H9vZ2rF27FqtWrVKO79+/H08++SRefvnlOe8vEVEiGPSF8PtTXfg/32sbUxjtXG7Bv91fhO9vzkq4wkiWZdSc9MDljK6FqthmgtkycT8nGjUSQw5ovReU4z5LxeQ7EmBxREREUQkzcgQADz30EOrr69Hc3Iwf/ehHWLt2Lex2O1paWmCxWPC3f/u3Mfd3OBzo6OhAf3//PPWYiGh++ENh/LGmA8+duAxvKDZsYU2GHk9UWrEuM3GnDl8850fX1ejms6vW6ZCde/3RnolGjXTOMxAQieELq1MR1E9u+jWA2JGjCbaSICKipSOhiiOtVouf//zneOutt3DkyBGcOnUKJpMJt9xyC/bt2zfvm60SEc03SZZx6JIDL7/Thm5nbLpntjkStrBzeeKELYzH1hVEU310dkBmthpr119/vc9Eo0YAYHBGp9T5LBWAMLlJEbIkxRRH4MgREdGSl1DFERApkPbt24d9+/bd8L4PP/wwHn744Umfu7S0dML1SEREia6+241nqntwsS+2KDJrRTy8PgP3FqckVNjCeDzuME5/6cHQQA+MJhGV240QxOsXc3V1deOOGqn9nVAHupT7TWlKXTAY0xR0eiAYnvzjiYho0Um44oiIiGJdHfTj2RobTl0bHbYg4L7iFHxzfQYsCbamaDzhkIyqox4EA5HKSFQBm3cZodVdv6C73qiR3hnd7yioy0dYO4UZBsHYIlPQ6oCgZ4I7ExHRUsDiiIgoQQ34Qni1zo6PLgxAkmNvu311Bv56dyG0Adf4D04wsiyj/rQXg/3RkZmNm41ITr3xr6G6urqYfY2U1FI5DJ2zVrmfL2kKo0ZATBgDMFQcuVkcEREtZSyOiIgSjD8k4Z1zfXijsW9M2MLaDAOeqLTippLlAACbbWEUR+0XA7hyKVqMFK7SIr9Qe8PHjR41KisrU0aNtJ4LUIWdAAAZKvjMG6fWqZHrjUQVBDV/JRIRLXX8TUBElCAkWcbBNgderLWh1xOKuS3brMFjFZnYkZ/YYQvj6bOH0FDjVdqpGSqUlhsm9djRo0YVFdHRIf2IIIaAaQ1klWlqHYvZAJZhDERExOKIiCgh1HVFwhZa+2PXwVi0IvZtyMDe1anQqBZWUQQAPq+E08fckIcGwHR6AZt3miBO4rUEAoEJR40EyQ+d+6xym9dy/Q3Cx3+CEcURk+qIiAgsjoiI5tXlQT+eq+5BVYc75rhaFHD/mlR8szQd5gUQtjAeKSyj6pgbPm9kwZQgAJt3mqA3TC5Rr76+fsJRI52rAYIcSZuTRAMCpjVT7yBjvImIaBQWR0RE82DAG8LLdXZ8fHFs2MKu5RZ8tzwT2ZYbr8lJZI1nvOi3RwMY1lcYkJY5uV871xs1AmJT6nzmjYAwjV9n3ACWiIhGYXFERDSH/CEJfx4KW/CNCltYlxkJW1iTMbn1OInscqsfly5Ei4/8FVoUrJp8sTdyrZFGo4kZNRKDA9B425T2lPY2GilmWt31N6ElIqKlgcUREdEcCEsyDrYN4qVaO3q9sWELyywaPFZuxfZ884ILWxjPQG8I9aejAQzJqSps2GSY9Gvz+/2oro6ODI3c1wgA9M4zEIZ2kQ1p0hHSL59WP+UAR46IiCgWiyMioll2ptONZ2t60DY6bEGnwl9sSMfdqxZm2MJ4/D4Jp466IQ0Niml1ArbsNkE1hddXW1sbM2qk7GsEALIMvTM63c5nqYgsZpqOIAMZiIgoFosjIqJZ0j7gx3M1PTg9KmxBMxS28I316TBrF2bYwngkScbpUQEMm3YaYTBOLoABiIwa1dREI7rLy8thMESnGap9l6EO2pW2bzopdcNGjhyxOCIiIrA4IiKKuz5vCK/U2fDJxcExYQs3Fybh0bIMZJkXdtjCeM7W+tBriwYwlJQbkGHVTOkcNTU18PsjIzparTZmrREAGEYEMQQMRZA0qdPvMKO8iYhoFBZHRERx4gtJeLupD2+d7YUvFFsVlWQa8JebrFidvvDDFsZz9VIAbeejxUZugQYrVk+tAPR6vTGjRhUVFdDrRwQlSEHoXLVK02fZNP0OA6PS6hjIQERELI6IiGYsLMn4vG0QL9ba0T8qbCHHosFjFVZsy1scYQvjGegLobbKo7STUlTYuNk45ddbU1ODYDCyd5FOp0N5eXnM7Tp3I0QpUoBJghY+8/qZdTzAfY6IiCgWiyMiohk40+nGM9U9uDQwftjC3tWpUIuLsygCRgQwDM2m02gFbNlthFo9tdfs8XhQWxsdFaqsrIRuVIKc3hGdUuc3bwTEGU5NZCADERGNwuKIiGga2gf8eLa6B9WdY8MWvrI2Fd8oTYdpEYUtjEcJYPDEBjAYTVN/3dXV1cqokV6vR1lZWcztYnAAWu8Fpe1LmkEQwzBGeRMR0SgsjoiIpqDPG8LLtTZ82jo2bOGWwiQ8WpYJq3lqIQQL1dkz3pgAhnVlemRmTf21u91u1NXVKe1NmzZBq40dFdI7a5S9jcLqNAT1hdPr9EgMZCAiolFYHBERTYIvJOHts31482wv/OHYqqjUasATlYs3bGE8V9r8aGuJjrzkFmhQVDy9AuP06dMIhSJrtYxGIzZu3Bh7h1F7G3mTKqe/t9HI0wY5ckRERLFYHBERXUdYkvFZ6yBeqhsbtpCbpMVj5ZnYuojDFsbT3xtCXZVXaSenqlA2jQAGAHA6naivr1famzZtgkYTO/oU2duoFwAgQ5h5St0w7nNERESjsDgiIppAdYcLz9bY0D4qbCFJp8IjGzNw16qURR22MB6fV0LVUTckKdLW6gRs3mWCaooBDMOqqqoQDkem5plMJmzYsGHMfQwjRo2ChiJImpRpPdcYDGQgIqJRWBwREY1yqd+HZ2psODMqbEGrEvDA2jQ8VJK26MMWxiOFZVQdc8PnHR3AIE7rfA6HA42NjUp78+bNUKtH/VqSAtA5o+uRvElxGjUCGOVNRERjsDgiIhrS6wni5To7Pr04iFFZC9hTmIRHyzORaVoaYQvjaajxot8eDWAoLTcgwzr963Hy5ElIQ0NQZrMZpaWlY+6jczdClIf3NtLBbxp7n2kbGcjATWCJiAgsjoiI4A1KeKupF2+f7RsTtrA+y4i/rLRiZdrS/vB86YIf7RejIy15hRoUrp7+PkP9/f1oampS2lu3bh07agTAMHJvI8uGme9tNFKQa46IiCgWiyMiWrLCkoxPWwfxUq0NA75wzG15SVo8XmHF5lzTkgpbGE9vTwgN1dEAhpQ0FTZOM4Bh2PHjxyHLkUI0JSUF69atG3MfMTgAjfei0o5bEMMwptUREdEoLI6IaMmRZRnVHW48W9ODy4OBmNuSR4QtqJZY2MJ4PG4JVcfcGKpjoNML2LLbBJVq+tfGZrOhpaVFaW/btg0q1dg1XCP3Ngpp0hHUF0z7OcfFfY6IiGgUFkdEtKS09vnwbE0Pars8MceHwxa+XpoGo2bphS2MJxSSceqIGwF/pEARRWDLLhP0hukFMAz78ssvlZ/T09NRXFw89k6j9jbyWTbFZW+jGCOjvLnmiIiIwOKIiJaIXk8QL9ba8XlrbNiCAODWoiR8a+PSDlsYTZZl1J70wDEQnW64cbMRqRkz+7XR2dmJS5cuKe0dO3aMOz1P42sftbdRxYyedzRZCgPh6L5VHDkiIiKAxRERLXKeYBhvne3D2019CIwKW9iYZcQTlVYULfGwhfFcOOdHx5Wg0l5RrEP+ipmFIciyjGPHjintrKwsrFixYtz76h1Vys9Bw8r47W00LBA7nZLFERERASyOiGiRCksyPr44gJfr7BgcFbaQnxwJW9iUw7CF8XR3BHGuzqe0M7LUKCmbeQF55coVXLt2TWnv3Llz3OsvhH3Qu0bubbR5xs89RjC2OOI+R0REBLA4IqJFRpZlnO5w45nqHlx1xH4ATtFHwhbuXMmwhYk4HWFUH49ufms0idi0wwhxhtdLluWYtUZ5eXnIz88f9746Vy0EOTJqJYkG+E0lM3rucY0IYwA4ckRERBEsjoho0Wjt8+GZ6h7UdY8NW3hwXRq+VsKwhesJ+CWcOuxGaGg2nUoNbNltglY3swAGAGhtbUV3d7fS3rFjx4T3NThOKT/7LBWAOAtrwUZOq1OrIYyTlkdEREsPiyMiWvBs7iBeqrXhYJtjTNjCbUXJ+HZZBtKNDFu4HkmScfpLD9wuSTlWsc2IpJSZFw2yLOP48eNKe8WKFVi2bNm491X7O6HxR6feeZO2zPj5xxUcMXKk4agRERFFsDgiogXLEwzjjcY+vHNubNhCWXYkbGFFKsMWJuPsGS/s3dH0tjUb9FiWN7MAhmHnz59Hb2+v0t6+ffuE99WPGDUK6vIR1mXHpQ9jjBw50sbndRIR0cLH4oiIFpywJOPAhQG8UmfHoD82bGH5UNhCJcMWJq39oh9tLdFiIWe5BqvXxWc0JRwOx4warV69GpmZmePfWQpC76xRmrM2agTErjnSsDgiIqIIFkdEtGDIsoyqa248WzM2bCFVr8K3yjJxe1EywxamoNcWQn21V2knp6pQtsUYt8KysbERg4ODAABBEK47aqRzN0KUIil5kqCF37IxLn0Y18i0OoYxEBHREBZHRLQgXOj14ZmaHjSMClvQqQR8rSQND65Lh0Ez8+CApcTjDqPqqBvy0DIjnV7Alt0mqNXxKYwCgQBOnjyptEtKSpCamjrh/UcGMfjNGyGLs1e0yCOn1XHkiIiIhrA4IqKEZnMH8eIZGw5ecsQcFwDcvjIZ39rIsIXpCAVlnDrsRsAfWaslisCWXSYYjPErMM+cOQOPJ1LMqlQqbNu2bcL7qgJ2aL2tSntW9jYaaWQgA9ccERHREBZHRJSQ3IEw3mjsxTvn+hGUYsMWKpaZ8HhFJgoZtjAtsiyj5oQHjsFoMt3GLUakZsTvV4LX68Xp06eVdnl5Ocxm84T31zuj9w1prQjpl8etL+MKMK2OiIjGYnFERAklJMn4qGUAr9bb4RgVtlCQosPjFZmozJn4Qzbd2Ll6H7quBZX2yrU65BfGd/Tk1KlTCAYjz6HT6bB583VGguQw9I5oceRN2gLMdphGgGuOiIhoLBZHRJQQZFnGyWsuPFdjw7XRYQsGNR4ty8CtKxi2MFNXLwVwoSk6amJdpsa6DfEdgXM4HKirq1Pamzdvhk43cQGi9TRDFXYCAGSoIhu/zrYRgQwCp9UREdEQFkdENO9aer14troHDT3emON6tYCvrUvHV9elMWwhDvrsIdSeigZaWJJEVO4wQYhzwXnixAlIUmTKntlsRllZ2XXvbxisUn72m0sgq0xx7c+4GMhARETjYHFERPOmxxXEi7U2fDEqbEEUgNuLkvGtskykGfjPVDx43BJOHXFjqGaBVidg600maDTxLYzsdjuampqU9rZt26BWT/xnKIYGofWcU9qzurfRSAxkICKicfBTBxHNOXcgjD819uLdccIWNuWY8FiFFQUpXAcSL6GgjJOHXUoynSACm3eZYDSr4v5cx44dU35OTU3FunXrrnt/vaMaAiL9CqtTEDSsjHufxsVABiIiGgeLIyKaMyFJxv6Wfrxa3wvnqLCFwhQdnqi0onzZHEypWkJkSUb1cTecI5LpyjYbkJ4Z/3/+Ozo6cOnSJaW9c+dOiOJ1pkPKEvTO6JQ6b9LmSOU2FxjIQERE42BxRESzTpZlHLrYi//7i1Z0OIMxt6UZ1Pg2wxZmTVO9D90dIaW9cq0O+SviXwzIsoyjR48q7ezsbBQVFV33MRpvK9TBvsjjIcBn2RT3fk0oOLI44rQ6IiKKYHFERLPqvN2Ln31eh9qO2HVFerWAh0oiYQt6NcMWZsOVNj8unotOH8vKiX8y3bC2tjZ0dnYq7V27dkG4QRy3YfC48nPAWAxJkzIrfRuPHGQgAxERjcXiiIhmRbcrgBfO2HC43RlzXBSAO1em4JGNGUhl2MKssfcEUVsVTf+zJIuo3B7/ZDoAkCQpZtSosLAQubm5132MGBqEzh0NbvAmb4t7v64rwEAGIiIai59MiCiuXIEw/tTQi3eb+xEaJ2zh8QorljNsYVa5nGFUHfVAHpVMp45zMt2wxsZG9Pf3K+2dO3fe8DF6RxUERDoYVqcgYFwzK32bUExxxPcjERFFsDgiorgIhiNhC3+st8MZkGJuW51hwg9vXoFCQ2iCR1O8BPwSTh5yIxiIFKaiCGzdbYLRFP9kOgDw+/04fjw6Pa6kpAQZGRnXf5AchmHwpNL0Jm2duyCGYSM3gWVaHRERDWFxREQzIssyjl9x4bkzPegcFbaQblDj0fJMfGPLSqhEATabbZ56uTRIYRlVR91wu6LFafk2I1IzZu+f+urqani9kel7arUa27dvv+FjtO5zUIUja9BkiJGUurkWYCADERGNxeKIiKat2e7FM9U9aLJ5Y47r1SK+XpqGr65Ng04tMoVuDsiyjNoqD3pt0Yj0Nev1yF0+ex/8nU4nampqlHZlZSXMZvMNH2cYPKH87DeXQlZbZqV/1xWzzxGLIyIiimBxRERT1u0K4PkzNhyZIGzhWxszkMKwhTl1ocmPq5eiI3d5BRqsLpnd6WLHjx9HKBSZKmk0GlFZWXnDx6iCvdB5W5S2N+nGI02zgml1REQ0Dn56IaJJc/nDeL2xF++NE7awJdeE71ZYsTyZ6zfmWseVAM7V+5R2WqYKG7cYbxilPRM2mw1NTdG0ue3bt0M7ielp+hFrjUIaK4KGFbPSvxsaOa1Ox/csERFFsDgiohsKhmV8OBS24BoVtlCUqsMTlVZszDbNU++Wtv7eEGpOeJS20Sxi8y4TVKrZK4xkWcaRI0eUdlpaGkpKSm78QCkIg6NKaXqTtwKzWMBdV3DktDoWR0REFMHiiIgmJMsyjl1x4vkaG7pco8IWjGp8pywTt6xIgjhfH3CXOKcjiJOH3ZCGlhlpNAK23WSCTje7yW/t7e24cuWK0t69ezdE8cbPqXM3QJQihZwsaOCz3Hga3myQQyFAGlHkc1odERENYXFEROM6Z/PiD9U9aLbHhi0YhsIWHhgKW6D54feFceDdawj4I9MbBQHYvMsIc9LsRHYPkyQpZtQoPz8fBQUFk3rsyCAGn7kMssoQ9/5NysgwBoBpdUREpGBxREQxOp0BvHDGhqOXx4Yt3L0qBX+xMQMpev7TMZ+ksIxPP+zEYH90NK9sixEZWZpZf+6zZ8+ir69Pae/evXtSa5tU/i5ofe1K25u8bVb6NykjwxgAbgJLREQKfsIhIgCA0x/Gaw12fHC+H6HYZUXYmmfGY+WZyGPYwryTZRm1pzzouhYtjIpLdchfMfujH4FAIGbD17Vr1yIzM3NSjzUMRh8X1OUipM+Le/8mbfTIEafVERHRkIQrjgKBAN5++20cPXoUdrsdZrMZZWVl2LdvH9LT0yd1DrfbjZqaGpw+fRqXLl2C3W6HIAjIy8vD7t27cdddd0GtTriXTjQvgmEJH5wfwB8b7HCPCltYmRYJW9iQxbCFRHG+0Y+r7bGR3cWl+jl57tOnT8PjiawZUqlU2LFjx6QeJ0h+6J3R/ZDmddQIGBPjPZupfkREtLAkVIUQCATwy1/+Es3NzUhNTcXmzZths9lw8OBBVFdX41e/+hWys7NveJ53330Xb775JgRBwIoVK7Bp0yY4HA40NzfjwoULOH78OH76059Cx/hWWsJkWcbRy048f8aG7lFhCxlGNR5l2ELCudIWwPnGaGR3do4BG7fMzYd7h8OB6upqpV1RUQGLZXKbt+qcZyDKkYJEEvXwmctmpY+Txg1giYhoAglVHL311ltobm5GcXExnnrqKej1kW9D33vvPTz//PN4+umn8Ytf/OKG59Hr9fja176Gu+++G2lpacrxzs5O/PKXv8S5c+fwxhtv4Fvf+tasvRaiRNbU48EzNT1otvtijhs1Ir5Rmo7716QybCHB2LuDqK2KRnYnp2pw+73L4HD2XedR8XP06FGEw5FYPKPRiM2bN0/ugbIcG8RgqQTEeS5IRu5xxPVGREQ0QsJ8+gmFQti/fz8A4Hvf+55SGAHA/fffj4KCAjQ1NaG1tfWG53rwwQfxyCOPxBRGALBs2TKlIDp69Ggce0+0MHQ6A/jNoWv4yceXYwojlQDcV5yCf3+gCF8vTWdhlGCcg2FUHfVAHpr1qNUJuPP+XOj0s5tMN+zatWtoaWlR2rt27ZrUhq8AoPG1QRPoVNrzPqUOiJ1Wx6Q6IiIaIWFGjs6dOwe3242srCysWDF2x/Rt27ahvb0dVVVVKCoqmvbzFBYWAgD6+/unfQ6ihcbhD+O1ejs+bBkbtrAtz4zvVmQiL4nfoCcin1fC8UMuBIORyG5RBWy9yYSk5NlPpgMi0d2HDh1S2llZWVi7du2kH28YOKb8HDCsQlhrjWv/piXIaXVERDS+hCmO2tsjEa/jFUYAlIJo+H7T1d3dDQBISUmZ0XmIFoJgWMJ7zf14vaEX7mBsVbQ6XY8nKqwozTLOU+/oRoJBGScOueDzyMqxyu1GpKbP3T/dZ8+ehc1mU9o333zzpNc4icE+6NxnlbYnZVfc+zcdsn9EccRpdURENELCFEd2ux0AJkykG54iN3y/6frggw8AYPLz5QH8+Mc/HnNMq9XiN7/5DQAgIyNjRn2aqeHkvclG6tKNLfRrKssyPj1vx9NH29HpiI0tzrbo8Ne7CnHHmsw5C1tY6NdzPoTDMj5+7xocA9GidvtNmSgpSwEwN9fU5/PhxInoeqGNGzdi48aNkz/Bpc8gIFLYyfosJBfsAoT5n7Lp0evgGPpZYzQhPTOT79FZwGsaX7ye8cdrGl+L5XomTHHk80XWP0yUIDe8Bmn4ftNx4MAB1NfXw2Qy4cEHH5z2eYgSWe21Qfzb4TY0dsVu4mrWqvDY1uX4RnkO1xQlOFmWcfSzbnRc8SrH1lekKIXRXPniiy/gdrsBABqNBnfdddfkHxz2AT1Hou3s2xKiMAIAeURanaCbmxh0IiJaGBKmOJJleUa338jZs2fx7LPPQhAE/M3f/M2YsIbr+e1vf3vd2+12+4z7NxPDFfrIqS80MwvxmnY4Anj+TA++vOKKOa4SgHuKU7FvfTqS9Go4+nvnvG8L8XrOp3P1Xlxojn6Az1muQeFqOeb6zfY1HRgYwLFj0fVClZWVCAQCk34+w8CXsIQjxZ0k6tArroGcIH/+Ul804S+AyDXkezT+eE3ji9cz/nhN4ysRrqcgCFi2bNmMzpEwxZHBYAAA+P3+cW8fPj4yxW6y2tvb8T/+x/9AKBTCE088ga1bt06/o0QJxuEL4dWGXuw/34/wqBp9R74Z3y23IieJi84XivaLfrScjf47mJ6pQvlW45xvVHr48GFIUmRKn9lsRmVl5eQfLEswDEYTQX2WzZDFBFrbMyKQQWAgAxERjZAwxdHwup3e3vG/1e4b+qZvqut7urq68Otf/xputxvf/OY3cc8998yso0QJIhCW8N65frze2AvPOGELf1lpRYmVYQsLSXdHEHWno1PpLEkituw2QaWa28Lo8uXLaGtrU9q7d++GRjP5dDyt5zzUwci/5TIEeFJ2xr2PMxJgIAMREY0vYYqjgoICAIj5hTzS8P5Gw/ebjL6+PvzqV7/CwMAA7r33Xnzzm9+ceUeJ5pkkyzjS7sQLZ3rQ4w7F3GY1afDd8kzsLrDM+UgDzUy/PYSqY24M5RdAbxCw9WYzNNq5XaczOrp72bJlWL169ZTOERPfbVoHSTP5acxzgpvAEhHRBBKmOFq7di2MRiO6u7vR1tY2JtJ7ODFpslM7XC4Xfv3rX6Onpwd79uzBY489Fvc+E821xm4PnqnpQUtvbDCJSSvi4fXpuK84FRpVYix6p8lzOsI4cdgNKRxpq9XA1pvMMJrm/s+ytrZWGakHgFtuuWVKhbYq0A2dN7phrCc5wUaNgNhNYDmtjoiIRkiYT1FqtRp79+4FAPzhD3+ISaV777330N7ejrVr12LVqlXK8f379+PJJ5/Eyy+/HHMuv9+Pf/qnf8KVK1ewY8cO/PVf/zW/RacF7ZojgP/3F1fx3z+5HFMYqUXgK2tT8e8PrMSD69JZGC1AXo+EE1+4EAxEhowEEdi824TkVNWc98XtduP48eNKu6SkBFbr1DZtNY4YNQpqsxE0TH/T7lkTYHFERETjS5iRIwB46KGHUF9fj+bmZvzoRz/C2rVrYbfb0dLSAovFgr/927+Nub/D4UBHRwf6+/tjjr/yyitoaWmBKIpQqVR4+umnx32+H/zgB7P2WojiYdAXwh/r7djfMjAmbGHncgu+W56JZRZ+uFuoggEJJw654B2xyWvFNiMysya/vieejhw5gmAwCCCyrcLOnVMb9RHCHuidNUrbm7ITSMAvpuSYNUf8+0NERFEJVRxptVr8/Oc/x1tvvYUjR47g1KlTMJlMuOWWW7Bv375JhzEM78shSRKOHDky4f1YHFGi8ockvNfcjz+NE7ZQPBS2sI5hCwtaOCzj5BE3nIPRP9/SCgNyl8/Ph/WrV6+iublZae/cuRNG49TeYwbHKQhypLiSRCN85vJ4djF+YqbVcc0RERFFJVRxBEQKpH379mHfvn03vO/DDz+Mhx9+eMzxH/zgByx8aEGSZBmHLjnw4hkbbJ7YsIUscyRsYddyhi0sdLIko/q4B322sHJs1Todiorn54N6OBzGwYMHlbbVakVpaenUTiKHYRj8Uml6k7cB4vyMgN0QR46IiGgCCVccES1V9d1uPFNtw8W+sWEL+9Zn4N7iFK4pWgRkWUZ9tRddV4PKsfxCLdZumPoebvEyOoRhz549EMWpvdd07rNQhQYBADJEeJO3x7WPcRVkWh0REY2PxRHRPLs66MdzZ2w4edUVc1wtAvcWp+Lh9Rmw6OZ+cT7NjpazfrRfjH44ty5TY+MWw7yNBrpcLiUNFABKS0uRnZ09tZPIMoz9h5Wm37wBkjopXl2MvwA3gSUiovGxOCKaJwO+EF6ts+OjCwOQRoUt7FpuwXcYtrDotLX40dwQHRlMSVNh004TRHH+pkmODGHQ6/VTDmEAAI2vDRr/FaXtSdkVt/7Niph9jvh3jIiIolgcEc0xf0jCu+ciYQveUGzYwpoMA56ozMS6TIYtLDZX2wNoqPYqbbNFxNabTVCr568wunLlCs6fP6+0d+7cCYPBMOXzGPu/UH4OGIoQ0ufHpX+zhtPqiIhoAiyOiOaIJMv4os2BF2ttsI8KW8g2a/DdikzszGfYwmLU3RHEmRMepa03Cti+xwydbv7WkI0OYcjKykJJScmUz6P2d0LniRZYntRb4tG92RUcEcjAtDoiIhqBxRHRHKjrcuPZmh5c7PPHHDdrRezbkIF7VjNsYbHqtYVQdcwNeWjqpFYnYMctZhiM8/vnXVtbG7NH3HRCGIDYUaOgLgcBw+q49G9WcVodERFNgMUR0Sy6MujHczU9OHXNHXNcLQq4rzgFD6/PgJlhC4vWYH8YJw+7IA0ldqvVwLabTTAnze+fucPhiAlhWL9+PbKysqZ8HjHYB52rXml7Um5JyE1fR5JlOTbKm4EMREQ0Aosjolkw4A3hlXo7DowTtrC7wILvlGUim2ELi5rbGcaJQy6EhhK7RRHYcpMZKWnz+8+uLMs4ePDgjEMYAMA4cBgCIuvmwuo0+M1T3BtpPoSCsW2uOSIiohFYHBHFkT8k4c/n+vBGYx98o8IW1mUa8ESlFWsypr7gnRYWn1fCl1+44fdFKmNBADbtNCHDOv//5La0tODSpUtK++abb4ZeP/U9loSQCwZHldJ2p94MCAtgFHTklDqA0+qIiCjG/P+mJloEJFnGwTYHXjxjQ683NmxhmUWDx8qt2J5vZtjCEuD3SfjyoAted7Q4LttiRHauZh57FeHz+fDFF9E1Qvn5+VizZs20zmUcPAZBjrzXJZUZPktlXPo464Kx6/4YyEBERCOxOCKaodouN56p7kFbf+yHLstQ2MLe1anQqFgULQXBgITjX7jhckQLo5JyPfJXJMboxNGjR+H1RuLE1Wo1brvttmkV7ILkh2HwuNL2JO8CxPkv/iZl5HojQYgsBCMiIhrC3wpE03R50I/nqntQ1TE2bOEra1LxjfXpMGsXwDQjiotQSMaJQ244BsLKseJSHVaumfqUtdlw9epVNDY2Ku1t27YhOTl5WufSD56EKEWKLEnQwZu8LS59nBMjp9VptBzNJSKiGCyOiKao3xvCK3V2fHxxbNjCzQVJeLQ8A1nmxBgpoLkRDss4dcSN/t5oYVS0Rofi0sQojEKhED7//HOlnZGRgfLy8umdTA7BOHBEaXqTt0FWLaB1dNwAloiIroPFEdEk+UIS/tzUhzfP9sIXiq2KSobCFooZtrDkSJKM08fcsHdH15oVrNSipEyfMKMSVVVVyp5GgiDg9ttvh0o1vVFNvbMWqrADACBDBW/Krrj1c05wjyMiIroOFkdENxCWZHzeNoiXau3oGxW2kGPR4LsVVmzPY9jCUiRLMmqOe9DdEX1f5BZosGGTIWHeD729vaiqiqbKlZWVTWtPIwCALMVs+upLqoSkTpppF+dWzB5HHDkiIqJYLI6IruNMZyRs4dLAqLAFnQqPbMjA3atToBYT40MwzS1ZllFX5UXHlei+Odm5GpRvNSZMYSTLMj777DNIUiQgwmKxYPv27dM+n9bdBHXQFjk3BHhSbopLP+dUkBvAEhHRxFgcEY3jot2N/9/hNhxv7485rhEFfGVtKr5Rmg4TwxaWLFmW0VDtxeW26BStzGw1KncYISZQsVxfX4/Ozk6lvWfPHminO5VMlmDq+1Rp+k0lCGszZ9rFOSePnFan48gRERHFYnFENEKfN4SXa234tHVwTNjCLYVJeLQsE1bzAoksplkhyzIaa7y4dCH6ITstQ4XNu0xQJVBku8PhwNGjR5X26tWrsWLFimmfT+c+C00gWmh50m6bUf/mTTA2rY6IiGgkFkdEiIQtvH22D281jQ1bKLVGwhZWpzNsYamTZRlNdT60tUQ/YKekqbD1ZjPU6sQpjGRZxieffIJgMDLlT6fT4eabb57BCSWY+j5Rmj7TeoR0OTPt5vwIsDgiIqKJsTiiJS0syfisdRAv1dnRPypsYXmqAY9uTMPWXIYtUKTgaG7w4eK56JqV5FQVtt9igkaTWO+P+vp6XL16VWnv2bMHJpNp2ufTueqhDnQDiKw1cqfdPuM+zpuRgQxMqyMiolFYHNGSVTMUttA+KmwhSafCX+0sxFfXZ6O/r3eeekeJpuWsHy1no++VpBQxUhhpxXns1ViDg4M4ciS6D9HKlStRXFw8/ROOXmtk3oCwLnsmXZxfIwIZBKbVERHRKCyOaMm51O/DMzU2nOl0xxzXqgQ8sDYND5WkoTB3AX/4o7hrOetDc4NPaVuSRWzfY4ZWl1iFkSzL+PjjjxEKRUZB9Xo9br311hmNfOpctTEJdQt61AgYtc8RiyMiIorF4oiWjF5PEC/X2fHpxUGMylrAnhWRsIVME8MWKNbFcz6cq48WRuYkETv2mKFLsMIIAGpra9HR0aG09+zZA6PROP0TyuHYUSNLGcJa60y6OP+C3ASWiIgmxuKIFj1vUMLbTb1462wf/OHYsmi91YAnKrOwKl0/T72jRHbhnA9NtdHCyGQZKoz0iVcYDQwM4NixY0p71apVM5tOB0DvPAN1MDK1VIYId+oCHzUCRm0Cy+KIiIhisTiiRSssyfi0dRAv19rQ7wvH3JabpMXjFZnYwrAFmsCFJh+a6qKFkdEUKYz0hsQrjCRJiplOZzAYsGfPnpmddNSokc9SgbA2Y2bnTAQBjhwREdHEWBzRrAgGg7DZbOju7kZPTw96e3shyzIEQYAgCBBFUfm/SqVCeno6rFYrrFYrUlNTZ1SwyLKMmk43nq22oX0wNmwhWafCIxszcOeqFKgTaLNOSiwtZ2On0hnNInbeaobBmHiFERCZTjdys9dbb711ZtPpAOgdp6EKRTZBliHCvVD3NRpFDo5Mq+OaIyIiisXiiOLC7/ejpaUFnZ2d6OnpQV9fH2R59MqeiV25ckX5WaPRIDMzE1arFdnZ2SgoKIBukjvZt/X78Gx1D850eWKOD4ctfL00DUaNatL9oqXnfGNs+ILJLGJHAhdG/f39MdPpiouLsWrVqpmdVA7B1P+50vQlbYKkSZvZORNFzCawLI6IiCgWiyOaEafTidraWjQ0NCAwcrrKDASDQXR0dCgLy1UqFVasWIE1a9agsLAQKtXY4qbXE8RLtXZ81jo2bOHWFUn4NsMWaBLGFEZDa4wStTAKhULYv38/wuHItFGj0Yhbbrllxuc1OKqgCg0AAGSo4E69dcbnTBjc54iIiK6DxRFNi81mQ01NDc6fPw9Jksa9z/AIUFZWFqxWKzQaDWRZhiRJMf/3+Xzo6emBzWZDf3//mBGncDiMCxcu4MKFC9DpdFi1ahXWrFmD3NxceEMS3jrbh7eb+hAYFbawIcuIJyqtWJnGsAW6PlmWcb7Rh/ON0Q/OJktkKl0irjEa9sknn8Bmsynt2267DQaDYWYnlYIw9kVHjbxJmyFpUmd2zkQy8kscBjIQEdEoLI5oSq5cuYLTp0/j8uXLY27TarVYs2YNsrOzkZWVhZSUFIji1D5YDq9V6unpQXd3N9rb2+HzRb/J9/v9aGxsRGNjI9QGE1q1BbioWgZJiI4m5SVp8XiFFZtzTQxboBuSZRnNDb6YDV7NlshUukQujC5evIijR48q7Q0bNqCoqGjG5zUOHoUq7AAQGTXypO6Z8TkTyohpdQJHjoiIaBQWRzQpoVAIhw4dQkNDw5jbLBYLysvLUVpaCu0MP2xoNBrk5OQgJycHQGTUqL29Hc3NzWhra1PSuAAg5HVjufcssoQLuGwohDO5AH9Rno07V6ZAxbAFmgRZltF4xoe28yMKo6TIiFEixnUP83g8eOONN5R2amoqdu/ePePzCiEnjH0HlbY3eTskTcqMz5tQAgxkICKiibE4ohvq6+vDhx9+iN7e3pjjmZmZ2LRpE1atWjXlEaLJUqlUKCoqQlFREc53O/Da4ToEbe1IDfZBHFpdpJMDWO05D124HWn9FQgFy6CaZIADLV2yLKOuyovLrdGRBEtSZMQokQsjWZbx6aefwul0AgBEUcTevXuh0cx8TZ257xOIcqR4kETDokmoixFgIAMREU2MxRFdV1NTEz7//POYERur1Ypdu3YhLy9vTqat2T1BvHjGhoNtDsjIAJIyoA97UeC9hLzANUCOrHny+/04fvw4Tp8+jYqKCmzatCkuHxhp8ZEkGWdOenCtPagcS05VYfstJmh1iVsYAUB9fT3a2tqU9q5du5CZmTnj86r8XdA7Tiltd9rtkFUziwNPSEEGMhAR0cRYHNG4AoEAvvjiCzQ1NcUcLy8vx86dO6FWz/5bxxMM483GPvz53NiwheLcdDxRsQ5ZujBqampQX1+PYDDyQTcYDOLkyZNobGzE7t27UVxczLVHpJDCMqqPe9B5NVoYpaarsO1mMzTaxH6f9Pb24vDhw0p79erVKC8vj8u5zb0fQBgajQ1pMuBN3h6X8yYcBjIQEdF1sDiiMex2Oz788EP09/crx3Q6He688864LPi+kbAk48CFAbxSb8egLxxzW36yFk9UWFGZEw1b2L17NzZv3owzZ86gtrYWfn/km2G3242PPvoIdXV1uOWWW2C1Wme975TYwiEZVcfc6OmMjoRmWNXYstsEtSaxC6PRsd0mkwkPPfQQvF7vjM+tdTdD52lR2q6MewBh8e0HJksSEIoWxVxzREREo7E4ohidnZ14++23lVEYAFi2bBn27t0Li8Uyq88tyzKqrrnxbE0Prjpi90xK0avw7bJM3F6UPG7Ygl6vx/bt21FRUYHTp0+jurpaiRjv7OzEq6++itLSUuzYsQNG4yKcKkQ3FArKOHnEjd6eEVNEl6mxeacJKnViF0YAcOzYsZh1fw899BDMZvPMiyM5DHPvB0ozYChCwLhuZudMVCP+XQPAaXVERDQGiyNS2O12vPPOOzGF0aZNm7B9+/ZxN16Np4t9PjxT3YP6bk/Mca1KwNdK0vDgujQYNTfug06nw86dO1FaWorDhw+jtbVVua2xsREtLS3YsWMHNm7cyKl2S0jAL+HEITcG+qIjkcvyNKjcboSoSvz3wcWLF3HmzBmlXVZWhuLi4ricW++ogjrQAwCQIcCVcR+wWP9ujEyqAxjIQEREY7A4IgDAwMAA3n77bWVKmiiKuPfee2d9Gp3NHcSLtZGwhZEEALevTMa3NmYg3Tj1UIXk5GTcf//9uHz5Mg4dOoS+vj4A0bVULS0tuOOOO5CSkhKHV0GJzOuRcPwLF1yO6GbFeQUalG01QlwAke8DAwP4+OOPlXZ6ejp27doVl3MLYR/MfdFz+yyVCOly4nLuhBQcXRxx5IiIiGKxOCI4nU689dZb8HgiozaCIOCee+6Z1cLIEwzjjcY+vDNO2EJ5thFPVFpRmKqf8fMsX74cjzzyCOrr63HixAml+Ovo6MBLL72EHTt2oLy8fNaiyGl+uRxhHP/CBa8n+h4rXKXF+krDghg5DAaD+OCDDxAYChHQaDS455574haIYuw/CDHsBgDIggbu9Lvict6ENTKMQaWCMAfBMkREtLDwN8MS5/F48Pbbbyt7pgDAHXfcgZUrV87K84WGwhZerbNj0B8btlCQrMPjlZmozDHH9TlVKhXKy8tRXFysjBoBkQ1mjxw5oowipaenx/V5aX4N9IVw4pAbAX+0MCou1aG4VL8gCiNZlvH555/Dbrcrx+644w6kpaXF5fxisA/GgSNK2516CyR1UlzOnbCCTKojIqLrY3G0hPn9fvz5z3+OSaW7+eabsW5d/Bdjy7KMk9dceK7GhmujwhZSDWp8e2MGbpsgbCFejEYj7rnnHqxevRoHDx5URsq6u7vxyiuvYNu2baisrJz19VU0++zdQZw84kY4mr2A9ZUGrFi9cNaYNDY24ty5c0q7vLwcq1evjtv5zb37ISDyBUVYlQRPyk1xO3fCGrnmiMURERGNg8XREhUMBvHOO+/AZrMpx7Zv3x63PVNGaun14tnqHjT0xKZq6VQCHipJx1fXpcGgmbtpbatWrUJubi4OHz6sfPiUJAlffvklWltbcffdd8dlU02aH51XA6j+0oOhsEIIAlC+zYi8goXzYbi7uxsHDx5U2suWLYvbOiMA0LrPQ++qV9ru9LsBceFcn2kbWRwxxpuIiMbB4mgJkmUZ+/fvR2dnp3KsoqICW7Zsievz9LgiYQtfXIoNWxAF4LaiZHy7LBNphvl5CxoMBtx1111YvXo1PvvsM7jdkXUXw6NIX/nKV2alULwRIeyFKmiDKuSAGBqEKjQIceg/VcgBWVBDUhkhq0yQYv4zI6TLRViTsXiTxibh0gU/6qu9GNrLFKIK2LzLhKxlUw/1mC9erxcffPCBEkVvMBhwzz33xG9EUwrAYntbaQZ1efBZyuNz7kTHaXVERHQDLI6WoLq6OrS1tSntkpIS7N69O27rMNyBMP7U2It3z/UjKMWGLVQuM+Gxisy4hC3Ew4oVK/Doo4/i0KFDaGpqAhAZVXvzzTdx/vx57Ny5E3r97PZVDA5A526EztUIje8SBMjXf0Bw4pvCKguChiIEDCsRNBYhrE5bEsWSLMs4V+/DhaboyIBGI2DrzSakZSycf+ZkWcaBAweUNYDD4Shmc/zW4Zn6PoEqFJlKK0OEw/oQICyRQJKRxRFHjoiIaBwL51MDxUVfXx+OHIkuwi4sLMRtt90Wl8IoJMn4qGUAr9bb4RgVtlCYosPjlVZULDPN+HniTafT4c4770RhYSE+++wzJdGuoaEBly5dwl133YW8vLy4Pqcq0AOdqxE6dyM0/mvxO2/YCZWrFnpXLQAgrE5GwFAEv6UcAcOqRfkhWArLqD3lwdX2aNWoNwjYdrMZSSkLa/3YyZMn0d7errR37NgR1/ee2nctJoTBk3ozwrplcTt/opP9I6fVceSIiIjGYnG0hITDYRw4cADhcKRwMRgMuOOOO2YcYy3LMk5cjYQtdDhjwxbSDGp8uywDt66Y3bCFeFi9ejWys7Nx4MABXLsWKVhcLhfefPPN+GyGK8vQelpg6jtw3YJIEnWQ1KkIq5MgqVOG/p8MSZUEIAwx7IEYdkMIuyGG3RDDLqhC/cpGniOpQoMwOGtgcNYgrE6FN2krfEmbIKkt038dCSQYlFF11A17dzR5wZIkYtstZhiMC6sQvHDhAk6cOKG0i4qKsGnTpvg9gRyGxfamMjIZ0qTDnXpb/M6/EHBaHRER3QCLoyXk5MmT6OmJfoC+/fbbYTQaZ3TOll4v/nC6B2dtsWELenU0bEGvXjgfUi0WC772ta/h/Pnz+OSTT5R1H6dPn8a1a9ewd+9eJCVNPe5Y7bsMc+9H0Hpbx709pEmH37QefnMJQrq8aY3wCGEXtN42aLyt0HpaoQ7GFkuqUD/MfR/B1Pcx/KYS+JK3LOjRJK9HwslDLjgGo5u7plvV2LLLCI12Yb2mnp4eHDhwQGknJyfjzjvvjGvkuGHgGDT+DqXtzPwaIC6ctVhxEWQgAxERXR+LoyWis7MTVVVVSru0tHRGm7x2uwJ48Ywdh9rHhi3cuTIFj2zMQOo8hS3MlCiKuOmmm1BUVIRXX30VAwMDAICuri688sorU9oHShXogan3APTuxjG3BXU58JtK4DetR1hrnfHaIFllht+8AX7zhsjrCDmh8V6E3lkHreecMmIgQILe3QC9uwEhTRo8qbfCZ6kAhIUzBc05GMbxQy74RmzumrNcg/KtRqhUiT1COZrL5cK7776LUCgy+qXVavGVr3wFOl38PryLwT6Y+z5W2l7LJgSNs7OXWUIbsQmswOKIiIjGsTA/vdKUBAIBfPTRR5DlyAfJ5ORk3HTT9PY0cQXC+FNDL95t7kdoVNjCphwTHq+wYnnK4vjQkZubi0ceeQRffPEFzp49CyCyN9T777+PsrIy7Nq1C2r1+H+FxJADpr5PoHdUjQlYCBhWwpV+N0L6/Fntv6S2wG8ph99SDjE4AL2zCgZHFVShQeU+6mAfknregLH/ENxpd8BvXp/wI0m2riCqjrkRGhFMsXKtDus2LozNXUcKBoN49913lbREQRBw7733xm2jVwCALMNiexuCHLlgksoEV8Y98Tv/QsJpdUREdAMsjpaAQ4cOweGIjPAIgoC7774b2ikuRg6GZexv6ccfG3rhHBW2sCJVh8crrChPwLCFmdJoNLjjjjuQl5eHzz//HMFg5ANmbW0tOjo6cM899yAlJSXmMVp3E5K6X4coxU41DOpy4Erfi6Axfht5TpakSYEn7Q54Um+F1nMehsGT0HqalcJNHbQhufsVBPuXwZ1+JwLGtQmZcnfpgh8N1V7II+rNhba567DhZLqRe43t2bMHy5cvj+vz6Fy10HlalLYz437IqsX3d3VSAgxkICKi62NxtMhduHBBGfUAgC1btiA7O3vSj5dlGcevuvB8TQ86nLEZ0ukGNR4tz8QthUkJH7YwU2vXrkVWVhY+/PBD2O12AIDNZsMrr7yC22+/HcXFxYAchqn3I5gGDsc8NqRJhzvtrsQYlRFUCJjWIWBaBzHYFxndcp5RiiRNoBMpnc8jqMsfKuSmP/UynmRJRmOtD23nox9uRRVQud2IZXkL80PusWPHcPHiRaVdXl6ODRs2xPU5hLAbFvt7SttvXA2/uSyuz7GgBDhyRERE18fiaBFzu9347LPPlHZWVtaUNnpttnvxTHUPmsaELYj4emkavro2DboFFLYwU6mpqXj44Ydx+PBh1NfXA4hMi9q/fz/6uy7g7hWXoPVfUe4vCxq40u+BN3lrQq7nkTRpcGY9DE/qLTD1fgK9u0G5TeO/gtSO/4DPvBGujPsgqaceQhEvoaCM01+60dMZTaTTGwRs2W1CStrC/CesqakJp0+fVtoFBQXYvXt3fJ9ElmGxvQsxHJmyJwsaODMfTMgRwTkzMpBBs/BGG4mIaPYtzE8WNCkHDx6Ez+cDAKjVatx9992TiqLudgXw/BkbjrQ7Y46LAnDXqhQ8siEDKQs0bGGm1Go1br31VuTl5eHTTz9FIBDAGqsPt2ccgdYfnesV0loxmP0thLVZ89jbyQlrs+BY9m14fNdg6jsAnee8cpveVQetuxnu9DvhTd4+50Wexy3h5GEXnCMS6ZJSVNh6k2nBRXUPu3btGj799FOlnZaWhr179844Un80vbNa2e8KAFxpd0LSxHEt00I0cuSI0+qIiGgcS/MT7hLQ2dkZM2XnpptuGrM2ZjSXP4zXG3vx3jhhC5tzTHis0orlyfy2FYjsiWTNTIej4Vlsyu6Pua0bqyHkPQqIC+vDV0ifi8GcJ6DxXoLZ/j40/qsAAFH2w2J/D3rHaTgzv4qQoWBO+tPfG8KpI274fdH3YnauBhXbjVCrF+boh81mw7vvvqtExBsMBjzwwANxTaYDAFXABovtz0o7oC+EN2VnXJ9jIZIDjPImIqLrY3G0CMmyjCNHjijtrKwsrF+/fsL7B8MyPmzpxx/r7XAFpJjbVqTq8ESlFWXZS3QB90SkAJZ7/gxddnQxfSAk4N3GJNRcc6Gs7MvrptklsqChEP15fwO9owrm3v1KsIQm0Im0a/8Ob9IWuNLvntVF/Zdb/ag/7YU04u24UBPphg0MDODPf/4zAkOjFyqVCvfff/+09s26LjmEpK5Xoul0ogGOrH0JObVzzjGtjoiIbmDhfXKjG2ptbUVnZ6fS3rVr17gfKGVZxrErTjxfY0OXa1TYglGNR8sysWdFEsQF+mF0tgiSH8mdz8ds6OqRU/DMSQM6ByLt2tpadHV1Ye/evUhOTp6fjs6EIMKXvBV+cwnM9o9gcEb3yDI4TkHnPgtn5oORkIk4kiQZjTVeXLowYj8aAdi42YDlRQv3m36Xy4W3334bHo8HQCQ1cu/evVi2bFncn8ts/xCaQPTvv8P6DUialLg/z4LEaXVERHQDLI4WGUmScOzYMaVdWFiIvLy8Mfdrtnvxh9M9OGcfG7bwjdI0PLDEwhYmSwh7kdL5LDS+y8oxn2k9XFnfxJ2ZHnzwwQdKml13dzdeffXVKW0am2hklRnOrK/Dl7QJFtufoQ50AQDEsBvJXS/BZ94AZ+ZX4zKK5PdJqDrmRp8tGhWv1QnYvNOEdOvC/afK6/Xi7bffVuL0Aczae0LrPgvjYPTvvyd5OwLmkrg/z4IV5CawRER0fQv3EweNq7GxEf39kTUwgiBg165dMbd3OgN44YwNRy+PDVu4e1UK/mIJhy3ciBB2I6XjD9D4O5RjXkslnNavA4KIlBQtHn74YRw6dAgNDZHkt+FNY8vLy7Fr165JBWIkoqChEH35P4Rh4BjMfR8rU7b0rnpova0zHkUa6Avh1FE3fJ7o+qLkVBW27F64wQtAZAPmd955B319fcqxm266CevWrYv7c4mhQSR1/0lpB7XZcKXfG/fnWdACTKsjIqLrS7hPwYFAAG+//TaOHj0Ku90Os9mMsrIy7Nu3D+np6VM6l9vtxuuvv46TJ09iYGAAKSkp2LJlCx5++GGYTItvDU0gEMCJEyeU9rp165Rr5vSH8VqDHR+c70codlkRtuSa8VhFJvIZtjAhMeRESsd/Qh3oVo55krbBlflAzN5FarUat912G3Jzc/HZZ58pm8aeOXMGnZ2dC3eaHQAIKnhTb0LAtA6Wnjeg9V0CMHIUaSOcmQ9MeRTp6qUAaqs8kEbsLZxXoMHGzUaoFmjwAgCEQiG8//776O6Ovme2bt2KioqK+D+ZLCGp64/K+jBZ0MCR/QggauL/XAsZN4ElIqIbSKjiKBAI4Je//CWam5uRmpqKzZs3w2az4eDBg6iursavfvWrSW9g6nQ68dRTT6Gzs1PZ3+fq1av48MMPUVNTg1//+tewWCyz/IrmVk1NjbKmQaVSYdu2bQiGJXxwfgCvNYwNW1iZpsPjFVZsZNjCdYnBAaR0/G+og73KMU/K7si38hOsx1qzZg2sVmvMprHd3d145ZVXcOeddy7YaXYAENZmYCD3r2AY/BLm3o9GjCLVQetthSPzQQTMpTc+T1hGU60XbS2x64tKyg1YsVq7YIMXgMj01o8++ghXrkT3vdq4cSO2bds2K89n7P8MWl+b0nZmPoCw1jorz7WgMZCBiIhuIKGKo7feegvNzc0oLi7GU089Bb1eDwB477338Pzzz+Ppp5/GL37xi0md67nnnkNnZye2bt2Kv/u7v1OmM/3hD3/A/v378dxzz+GHP/zhrL2WueZyuVBdXa20y8vLUdcn4/nP2saELWQY1fhOeSZuLmTYwo2IwX6kXvsPqELRuG536q1wp915w800hzeNHTnNLhAI4P3330dZWdmCTbMDAAgivCm7EDCuGTWK5EJK14vwWjbBlXk/ZFE/7sM9bgmnj7kx0BcdLtJoBWzeaURG1sIe7QiHwzhw4EBMlP6aNWtwyy23zErBp/FcgKkvutmzz1wGn2VT3J9nURhZHHHNERERjSNhJvOHQiHs378fAPC9731PKYwA4P7770dBQQGamprQ2to60SkUAwMDOHz4MFQqFb7//e/HrPP4zne+g6SkJBw5cgQDAwNxfx3z5fPPP1emcGm0OrwzaMX/50hHTGFkUIv4TnkmfveVIuxZkczC6EZCbqR0PBtTGLnS7oY7/a4bFkbDhqfZ3X333dBooh/6a2tr8frrryvrwxaq4VEkZ8Z9kIXo6zM4TyPt8r9C420b85jujiAOHXDGFEZJKSrcfJd5wRdGoVAIH3zwAVpaWpRjhYWFuOOOO2ZnJMxzDcldL0FAZK1WWJ0Gp/XBSb8/lxym1RER0Q0kTHF07tw5uN1uZGVlYcWKFWNuH56OUlVVNea20WpqaiDLMkpKSsZsfKrRaLBp0yZIkoQzZ87Eo+vzzm63x1yXRnUhzvVHP3iKAnBvcQp+/9UifKM0nSl0kyEFgebfQR3sUQ45M+6DJ23PtE63Zs0a/MVf/AUyMjKUYzabDa+++iqampogy/J1Hp3gBBHelN3oy/8/EdRFkxFVoX6kXPsPmOwfAlIQkiSjqc6Lk4fdCAair7dgpRa77zDDaFqYYRXDgsEg3nvvPbS1RQvC5cuX4957752dII7AIND0/4Uo+QBE1hkNZj8y4WjdUieHw0A4FD3AQAYiIhpHwszpaW9vB4BxCyMAKCoqirnfTM61YsUKfP7557h06dI0eppYZL8ff37/I+Qk+dDvUcEeMuOqPl+5fWu2Ht8tTUKeRQOEvZDd89jZhUKWIdv+BNHRrBxymXfDoykD3M7rPPD6UrRqfPO+e3DkxCnUnzsHIPKB+uOPP0Z760XcunMHtAv42+wQ9OhL/TZMrmMwuY5AgAwBMkwDhxCuacGRy1/BhWupyv1VKmDDBgF5eWHA58ICLg8RCATx3ief4Fpnl3JsxfLluOe2PVD5vZD913nwdEgB4OqrEAKRFDwZwGDKAwiGk2f0Hl3UfL7Y9gL+u0ZERLMnYYqj4UXrEyXSpaWlxdxvMucafsxow88xmXMBwI9//OMxx7RaLX7zm98AQMxowFwKSzLOv/tzPF7aAY0K+HN9Ep7pL4csiFjpuILHL76P0sHINETpBueiKPPuTIi7oovZPQ0DcL7/ewC/n/G5RQA3A8hLysRnuSXwqyPTyM5fbEVXUwPuvNyAbK/juudIdE4Avmw9Uu7Pgzo98u28KtCJ3db/hCF0Exq6t8Dk6kRF/f8Ny0cdC/696RfVeK+wHF2mFOXYqoEu3FH/KYT3/xD/1ycAqV/Lh7A6STnk+KQT3tP/r3g/06KWsSwHosGotIfX/2VmZs5XlxYdXtP44vWMP17T+Fos1zNhiiPf0Ld6Ot34Ux2G1yD5Rn/7N41zDR/3++P9de7cCofCcPn80AzN2ClMF7B8MBuPnH0Zu3tqIS7o7+Lnh2FDCiwjCiN/uwuDH3Zc5xHTU+SwIdN7HB/nr0enKTKa4tAa8dbKzdjafREVtvbEmfM6DcEuH7qfa4f01R3IXxlJ+VOJYWzNO4hVhmr43qyD4F74w5g+lQbvrKiAzRAtVNb2d+DWq2dn7c8v6fZs6EcURu6qXnhO913nETSGVsdNYImIaFwJUxzdaM3FVNZkDN83Xgugf/vb3173drvdPi9rRiRJgtttBhD58FmQKqHMsAzWpGIIPbVz3p+FTltoQvLdOUo7aPeh/60rgDQ7f7aWoB8Ptp7GaesKnLIWQRYESIKI49mrcdmcgduvNiIpeOMvAxKRy5iDmg1/A+dAAXJbWnFTwYcwaV0AgLR0B6Tv5sPxaRe89QPz29EZcGp0eK+wAn16s3KstPcqbuk4h9mKQzBtTodpU3R03XfeAcdnXdd5BI2h0UK4fx/sfbEF5fA3nTabbT56tSjxmsYXr2f88ZrGVyJcT0EQsGzZshmdI2GKI4PBAGDi0Zzh4yNT7G50rolGmYbPNdHI0kIhiiLW3/E14Nr/BQBIMTihV7vRWng/fLseQFm5CioVU6smQx3sRqrtOQhDi0NktQXiTT+DUCbP2gddIDLNbhuA/K4uHPj8IJyuSAHRYU7FqxtuxU3bt6NkTfGC2fNHlmVcbpfQ2BhWNnW95ijCZx1/hbvWfQadN1K0izoVUu7Nhf6hW+FMuQ+Synydsyaerp4evH/gY3i8XuVY+fr12L39e7P2Z6XzNsHS9yelLRuWQ/PQDyHeyjVGU6JWQ+AeR0RENIGEKY6G1+309vaOe3vf0Ld8k1nfM3yfvr7xp5oMP8d8rRWKJ1lvhaxJhhAcBABYTR24PLgaHdck+IMituwyQKNdyBO0Zp8QciKl+48QhwsjQQOs+xFE83IIwbn59iN3RREeWZaDzz//XImBDgaD+OzwYbReuYLbb78dJlNib9Yb8EuoPeVF17VwzPHCVVrcfMdKqNWlGGz9GBbbn5WENb3vPLS2a3Bkfm1SG8cmgpaWFhw4cADhcPR1btmyBdu3b5+1wkjrPofk/reVQj2sToVY8iOI2mQIvvB1H0tERESTlzCfmgsKCgAgJgZ3pOH9jYbvN5NzDR+fzLkSniAAlpVKs9Daqfzc2xPC0U9d8LgX+pL3WSSHkdz9KlShSHEpQ8Bg9iOAuXDOu6LX63HPPfdg7969MaOaly5dwksvvYQLFy7MeZ8mq7sjiIP7nei6Ft1XS6sTsPUmEzZsMkI9FB/vt5Sjb/mT8BtWK/cTw26kdL2IpK5XIIRdc973yZJlGadOncKHH36oFEaiKOK2227Djh07Zm/EyHkGyZ0vQJAjMdSSqMdAzuOANnlWno+IiGgpS5jiaO3atTAajeju7h63qDlx4gQAoLKy8obnKi8vhyAIaGpqwuDgYMxtwWAQp0+fhiAIqKioiE/n59uI4qggsxN5BdGNNJ0OCUc+caLfHhrvkUueqe8TaL3RjYVdGfchYFo3jz0CiouL8e1vfxvLly9Xjvl8PnzwwQf46KOP4B0xlWu+BQMSak64cfKwG35fdG1WZrYat9xtQVbO2E1dJXUyBnOegDPjgZiNY/WuOqS3/1/QOWuBBNv3KRQK4cCBA/jyyy+VYzqdDl/96lexfv36WXtew+BxJHW/BmEo804SdBhc9hjCWusNHklERETTkTDFkVqtxt69ewEAf/jDH2LWC7333ntob2/H2rVrsWrVKuX4/v378eSTT+Lll1+OOVdqaip27dqFUCiE//2//3fM9JcXX3wRDocDu3fvHrNB7IJliV4TTeAqyrdqsbokOvLg98k49rkL7RcXdjpfvGnd52DqP6i0feaN8CbvnL8OjWA2m/HVr34Vt956qxKNCQDNzc144YUXcO7cuXnfOLa7MzJadPVSdLRIFIGScj223WyC3nCdf14EAd6UHZGNY/XRIlCU3EjufhXJXS9ADCVGpLnH48Fbb72F5ubovlfJycl4+OGHkZ+ff51HzoAsw9h3EBbbnyEMpU5KogkDuX+FoKFwdp6TiIiIEmfNEQA89NBDqK+vR3NzM370ox9h7dq1sNvtaGlpgcViwd/+7d/G3N/hcKCjowP9/f1jzvX444+jpaUFJ06cwJNPPomVK1fiypUruHLlCrKysvDYY4/N1cuafablkAU1BDkEQQ5BE+jC2g35MBhF1J/2QpYBSQLqqrwY6AtjfaVhyQc1iMF+JHW/prRDmkw4rQ9FpikmCEEQsGHDBuTn5+PAgQPo6oqkkvl8Phw4cADnzp3DrbfeiuTkuZ1eFQzIaDzjxZW2QMzxlDQVyrcZYUlSTfpcYW0m+nP/DxgGv4S59yMIcqTQ0rmboPG2wZVxH3yWTfP259LR0YH9+/fD5YpO98vNzcW9996rBL/EnSzD1LsfpoFDyqGwOhkDOX/JESMiIqJZljAjR0BkY9Wf//zn+PrXvw6tVotTp06hp6cHt9xyC/75n/8Z2dnZkz5XUlIS/umf/gl79+5FKBTCyZMn4fF4sHfvXvzTP/0TkpKSbnyShULUAObo+imN7zIAoGClDjtuNUOnj36wvNwawLHPXPB6lvA6JDmE5K6XIUqR6WmyoMFg9rcgi4mZXpiSkoJvfOMbuOmmm6DRRKehXb58GS+99BKqq6shSXPz5xkZLXLEFEaiCKzdqMeu281TKowUgghvyi70Ln8SAUN0iqgo+ZDU8wZSOv4TqkBPPLo/aZIk4cSJE3jjjTdiCqOSkhI8+OCDs1gYSbDY3oopjEKadPTn/h8sjIiIiOaAIM/33JxFoLOzc16nOGVmZgKXXofQ+REAwGfeAEf2t5TbvR4Jp4+50d8bnV6o1QnYvNOEdGtCDR7OCbPtHRgHo2tHHNZvwpcUu5YtEbL6x+NwOPD555+jvb095nhmZiZuu+02ZGVlzcrz+rwSGmu86LgSjDmenKpCxTYjLMnXL4omfT1lGXrHKZh7P4AoRaeByhDhTdkJd9rtkMUbx/nPhNPpxEcffYSOjujmv6IoYufOnaioqJi14AUh7EFSzxvQuc8qx4LaZRjIeQKy2jLm/on6Hl2oeD3jj9c0vng944/XNL4S4Xouqn2OaIYsRcBQUN3wyNEwg1HEjlvNaKzxov1i5Bv/gF/GlwddWFemR1GxbsHsozNTOmddTGHkTdoypjBKZElJSXjggQdw/vx5HDp0SAlnsNls+OMf/4iSkhLs2LEjbrHfsiyj/WIATXVehEbURYIIFJfqsWqtDqIYx/eOIMCXvBUB0xpYet6GznMuchgSjANHoHOegTt9L3yWikgn4uzChQv49NNPY/ZbS0pKwt69e6c0cj1VGk8rkrr/CFU4us4qoC/A4LLHIKtmaZSKiIiIxmBxtFiMSKxThQYhBgcgaVKix1QCNm42IjlVhYZqLyQpEgh29owPtq4Qyrcar7+AfhFQBWyw9LyhtIO6HDgzvjKPPZoeQRCwZs0aLF++HEeOHEFTU5Ny29mzZ9HS0oLNmzejoqIiJsxhqgb7w6ir8mCgL3YfndR0FTZuNiIpZRpT6CZJUidjcNl3oXWfhcX+PlShyLpCVdiFpJ4/wTB4As7MBxDS58Xl+YLBIA4fPoyGhoaY42vWrMGePXtmb8NoOQxT3ycw9n+hBC8AgN9YjMHsbwMiNyslIiKaSyyOFgttCsLqVOVDpMZ3Gf4RxdGwgpU6JKWoUHXUDZ838mHM1hXCFx85UbbFiOzcsdHLi4IURHLXSxDlyMiZJOojUw/Fhft6DQYD7rzzTqxduxZffPGFsulxMBjEl19+iYaGBuzevRurVq2a0shgKCjjfKMPref9MYnaGo2AtRv1KFipnZuRRkFAwFyKXmMxjAOHYOr/Qgls0PivIPXq7+A3l8Gdduu01+PIsozW1lYcOnQITqdTOa7RaLBnzx6sXbt21l6rKtiLpK5XofFfjfYHItzpd8OTsntWRsaIiIjo+lgcLSJBfQFUruHiqB1+y8Zx75earsbNd1lQe8qD7o7I/kcBv4xTR9xYXqRFaYUBavXimmZn7t0PdaBbaTus30BYkz6PPYqf/Px8fOtb30JDQwOOHz+uxOA7nU58+OGHyMnJwa5du244B1eWZVy9FEBTnS9mzyIAyF2uQWmFATr9PHxgFzXwpN0On6USZvsH0LsjozsCZOhdZ6Bz1cJv3gh32m1TKpIGBwfxxRdf4NKlSzHHrVYr9u7dO3tR/7IMvbMGZtuflWIdiAQvOLIeQUifOzvPS0RERDfE4mgRCRqWQ+86A2DsuqPRdHoRW3ab0H4xgMYzXkhDM6cutwbQawuhcrsRKWmL4+2h8bTAOHhMaXuSdyJgLp3HHsWfKIrYuHEjiouLcfLkSdTV1SkJdh0dHXj99deRn5+Pbdu2IScnZ8zj+2whNNR4MdgfO4XOaBaxYZMB1uz5H2GTNKlwLPs2vJ4LsNjfU4rdSJFUC52rDn7zBrhTb0NYN3EwRSgUwunTp1FVVRWzB5ooiqioqMD27duhUs3OlEGNt23MxsMA4E3aDFfG/QmbmEhERLRULI5PvwQgMnI0TO3vAKTAddcsCIKAwlU6pFvVqDnuUT4Yu50SjnziwuoSHVat0y/oPZGEsBtJ3X9S2iFtFlzpe+exR7NLr9fj5ptvxoYNG3D48OGYUZHhfb7y8/OxdetW5ObmwuOW0FTnRcfl2BQ6UQWsXKPD6nV6qBJsFDFoXIW+/P8HdK5amPo+hzoYScWJFEl10Lnq4TeVwpu8HUHDCmV6mizLaG9vx8GDB+FwxG4wm5eXhz179iAtLW1W+qz2tsPc9wm03gsxxyVRD6f1IfjNG2bleYmIiGhqWBwtIiFtFiRBC1EOQIAEjf9a5MPhDViSVNh9uxnNjT5caIqkdMkycL7Rj2uXg9i42YAM6/yPHEyZLMPS87aSACZDBUfWvgW9zmiyUlNT8cADD+Dy5cs4ceIEOjs7lduGi6TUlGUwqDZAq8qKWVeTk6/BujIDjKYEXvMiiPBbKuA3l0HnqhsqkiJ7IQmQoXc3QO9uQFidCq+lAhccWTha1RxzHQDAZDJh9+7dKC4unpW1RWrfZZj6PoHO0zLmtoBhJRzWb8QEpxAREdH8YnG0mAgqhPT50HovAohMrZtMcQQAokrAuo0GZGarUXPCA58nsubE7ZTw5edu5Bdqsa5cD50ugT8wj6J3VivrUwDAlX43QrqZZd8vNMuXL0d+fj6uXLmCkydPxuzd0z/QiX50QqtOhcVQjJzs1di4OQnpmQvonwVBhN9SDr95I3SuBpj6P4tZW6YK9cPc/xnKASQt16JaNOBslx5BSYWysjJs27Yt7kl0YsgBrbsZelfdmJEiAAjoC+FOuwNBQxGwRCL0iYiIFooF9CmIJiOoXz6iOGq/wb3HyrBqsGdvEprrvWhriS4Wv3IpgK6OIErLDcgr1CT8vkhisA9m27tKO2Aogjdl1zz2aP4IgoC83HyEy6xQhy+hp68WvmC0gAiE+tHrPAGHrxrQr8WGDRuQkZExjz2eBkGE37IRfvN6aFyNkDu/QIpwDSO3YCpKD6AoPYDwBgf8mmzIFjeCoVYE1cshq2awL5QsQx3ohNbdBJ37XEz63EhB/XK40u5E0LCSRREREVGCYnG0yIxcd6TxXo7Mj5viBzGNRsD6SiPyCrSorfLCMRBZixQMyDhz0oMrl9QoLTcgOXX29rmZEVlCUvdrEOXIFEFJ1MNh/eaSjEaWJRlX24M43+iDxy1BhWwsS8uGN9CFQU8dvP4u5b7BYBD19fWor69HTk4OSktLsWLFCuj1+nl8BZPX29uL5uZmnDt3Di6XBIvOivJcLyrzPMg0R4MXVKIMY7gTGOgEBg4BAEJaK4L6QoQ06ZBVRkiiMfJ/lQGSaARELcSwC2LIATE0CNXQ/8WQAxr/FahCgxP2K6jLhzvtDgSMq1kUERERJTgWR4tMUL9c+VmU3FAFexHWTm8UICVdjZvuNKOtxY/mBh/CkdRv9PaEcOiAE3kFGqzZkHhrU4z9X0A7YtTMmfngklvXIYVlXG0P4MI5P9xOKeY2UQRK1xdg1bpiuD0DaGhowNmzZxEIREcKOzo60NHRAVEUkZubi5UrV6KoqAhms3muX8p1uVwunD9/HufOnYPdbo+5zelX4XCrGZ1iGW4qz0OOuhU6Vx1EyTfmPOpAD9SBnrj1K6xOgd+0Dn5TKafPERERLSAsjhYZWWVASGNVFqdrfO3TLo4AQBQFrFyjx7I8LRqqo/siAcDV9iA6rgRRuFqH1et00CbAeiS17ypMfZ8obZ+5DH5L2Tz2aG6FgjLaW/1obfYrm/wOEwQgf4UWxaV6GIyRPyudPg0333wzduzYgfPnz6O+vh49PdEiQZIkJcDh4MGDyM7OxsqVK5Gfn4/09PRZi7yeiCRJ6O3tRUdHB1pbW3H16lXIsjzmfoIgYM2aNdi8ebOSQOdEGZyZD0Dt74TGdwka7yVofe0Qw64Z90uGgJAub6ggWoewNosFERER0QLE4mgRChqWjyiOLsOXtGnG5zSaRGy9yYzujiCaar1wOiKjEZIEtDb7caU1gFXrdFixWjd/0c9SEEndr0FApG9hdTKcmV+dn77MMb9fwqUWP9paAggGxhYLuQUarCnVw2QZv5jRaDQoLS1FaWkpuru70djYiNbWVng8npj7dXV1oasrMhVPrVbDarUiKysL2dnZyM7Ohtlsjut6tFAohJ6eHmUkq6OjI2aEazSr1Yo1a9aguLgYJtM464gEFUL6PIT0efCm7AZkGapgb6RY8l2BGHZBCHshSh4IYQ/EsAcCIlPyZAiQVCZI6mRI6iSEVUmQ1MkIa1IRMKyCrE6sUTUiIiKaOhZHi1BQXwCDowrAjTeDnaqsHA2s2WpcuRRAc4NPGZ0IBmU01fnQ1uJHUbEOy1fqoNHMbZFk7vtY2fNGhgCH9WHIKsOc9mGuOQbCuHTBjyuXAspGvsNEEcgr1GLlWh3MExRF48nKykJWVhb27NmDrq4uXLx4ERcvXhyzN1AoFFIKlmFGoxFJSUkwm80x/3k8HhiNRvT19Y0Z6ZFlGV6vF06nEw6HAy6XCw6HA06nE06nU9nMdiIWiwVr167FmjVrpr5PkSAgrM1AWJsBX9LmsbfLMgQ5AEHyQ1KZACFB19kRERFRXLA4WoRGrjtSBbohhH2QVfFbVC+IApYX6ZCzXIu2Fj8uNPkQGtpD1OeVcbbWh/NnfShcpUNRsQ46/exPt9N422AYOKK0vSm7EDQWzfrzzodwWEbX1SAuXfCjzx4ec7tKDeXa6w3Tv/aiKCInJwc5OTnYvXs37HY7Ll68iPb2dthstnGLFo/HM2a0Kd4EQYDVakVOTg6KioqQk5Mze+mJggBZ0EEW4xv3TURERImJxdEiFNZkQBINECUvBMjQ+C8jYCyO+/Oo1QJWr9OjoEiLlrN+XLrgx/Dn5VAQuNAUWfsyndGLKZECsPT8CQIiIxIhTSZcaXfNznPNI49bQvtFPy63BhDwj506p9UJKCrWoWCVFlptfAtSQRCQmZmJzMxMbN++HaFQCDabDV1dXeju7kZXV9eYkaV4UalUyM7ORm5uLnJycpCdnQ2tVjsrz0VERERLG4ujxUgQEdQvh87TDCAS6T0bxdEwrU5EaYUBK9fq0Hrej/aLfmUkSZKAy60BXG4NICtHjeVFOliXqSGK8fum39z7IdTBPgBD0+myvgGImridfz4FAzI6rwZw7XIQ9u7QuPdJTlWhcJUWucu1c7beS61WY9myZVi2LLqprsfjQW9vL1wu15j/3G43/H6/ct+RIz2CIECr1SIpKQkWi0X5b7idkpIy58EPREREtDSxOFqkgvoCpThSx3nd0UT0BhElZQasXqdH+0U/Ws/74fdFRzi6O0Lo7ghBpxeQV6jF8hVamJNm9qFX47kA4+Bxpe1JvQWhEdMKFyIpLKOnK4Sr7QF0dwTHrCUCAFEF5OZrUbhKi5T0xPhrbDQaYTQax70tMzMTAGCz2eayS0RERERTkhifqijuRq470vgvA7I0Z5ugarQCVq3TY0WxDtfG2WvH75Nx8ZwfF8/5kZqhwvIVWizL00AzxalgguRDUs8bSjukzYY77fa4vY65FA7JsPeE0HUtiM6rwXET5wDAaBZRuFKL/BXahIhOJyIiIlpMWBwtUiF9HmSIECBBlPxQBXoQ1mXPaR9UqkhwQ/4KLWzdIVxpDaDrWhAj1/H328Pot3tRV+VFulWN7BwNsnI1k9pY1mx/H6rQAABAhghH1jcBYeG8pb0eCd0dQfR0BmHrDo07QgREis2cfA3yCrRIzVDNXvgAERER0RK3cD5J0pTIog4hXTY0/kjMss7TDM8cF0fDBEGANVsDa7YGAb+Eq+1BXGn1wzEYrZJkGbB3h2DvDqGhxoukFBWyczXIylEjOUUFYdQaJa37nBJXDgDutNsQ0uXM2WuajmBAQp89jD57CD2dITgGJqiGEJk2l52jQW6BFtZsNUQVCyIiIiKi2cbiaBHzm9ZFiyNnLTypt8xzjyLhDUXFOqxYrcVgfxiXWwPovBock77mGAjDMRDG+UZArQFS09VIy1QjLUON1OQALD1vKfcN6nLhSd0zty9kEnxeCb22EPqG/htZDI5HrQYysyMjZ8tyNVDP8T5RREREREsdi6NFzG8ug7nvUwCAJtAJVaAbYW3WPPcqQhAEpKSpkZKmxoZKGf29YXR1BNF1LRizPgmIxILbukKwdUXS2m5Z8S5UaZHYaAkqXFZ/DVq/AF38tnKaklBIhssRKeacgxIcg2E4B8MxYRQTMZpEZOWokZWrQXoGR4iIiIiI5hOLo0UsrM1EUJejjB7pnbVwpyfe/j+CKERGhTLVKCkzwOkIo/tapFAa6AtDHlFjFKacw6q0s0r79NXdqOs2AXBAoxVgSRJhTlLBYBSh0wvQ6WP/r5pC8SHLMkIhGeGQDL9PhtcjweuR4PMO/1+G1y3B7ZaAG9dBACLrh9IyVUjPVMO6TAOzReQaIiIiIqIEweJokfOZy6JT61y1cKfdCST4h3FLkgqWJBVWrdMjFJIx0BtCnz0MV28/dlkPKPfrduWivnur0g4G5KE1PROv5VGrAVElQBQjl0EUBQgihvZdkhEORUaCwuFBhIKTrHiuw2CMFH7pQ1MCzUkshoiIiIgSFYujRc5vKYO5dz8EyFAH+6D2X0VInz/f3Zo0tVpARpYGGVY1kjs/gs7jBQCEZQ1awg8iNUMDp0OaMPp6tFAIQGjkfWdeAAGRAAVLkgqWZBFJKSokJatgSVZBb2DcNhEREdFCweJokZPUyQjqC6H1tQGITK1zLaDiaJjecUrZ1BYA3Nb7ULw6D8WITH8L+GU4HRJcjjBcjsh6H79PivzfL0+6eJqIqAIMBhF6owiDQYj83yhCbxBhtogwmcUxiXpEREREtLCwOFoCfJYypTjSuergyrh3zjaEjQcx2Aez/X2l7TcWw5cUnU4nCIKyrijDOv5bOhyOFFABvwRJiuyJK0kyJDn6MxAZqVKpBWRmpkGtEeFw9EGlFqBSgdPhiIiIiBY5FkdLgN+8HrLtHQiQoAo7ofG2IWhcOd/dmhxZQlL36xDlAABAEg1wWr8+5XVTKpUAg1GAwTi5ojAtQwcA8AcWThFJRERERDPDT35LgKwyIWBcrbT1rtp57M3UGAeOQOu7pLSdmQ9CUifNX4eIiIiIaNFicbRE+Cxlys86VwMgh+axN5Oj8nfB1BtNp/OZy+C3bJzHHhERERHRYsbiaIkImEogCxoAgCh5ofW0zHOPbkAOIan7f4DoKQAAHD5JREFUNQiIxHKHVUlwZn51njtFRERERIsZi6MlQhZ18JvWKm2988z8dWYSzPb90AQ6lbYz6+uQVYZ57BERERERLXYsjpYQn3nE1Dp3EyAF5rE3E9O6GmEcPKq0PcnbETAWz2OPiIiIiGgpYHG0hARMayCJegCAIAehc5+d5x6NJQb7kNTzJ6Ud1C6DK/3eeewRERERES0VLI6WEkENv2m90tQ7Eyy1Tg4huetliJIPACAJWjiyHwFEzTx3jIiIiIiWAhZHS8zI1Dqt5zyEsHseexPLbP8QGv81pe20PoSwNnMee0RERERESwmLoyUmaChCWGUGAAiQoHM1znOPInSuBhgHjyltT9I2+EcUckREREREs43F0VIjiPCbo3sFJcKGsGKwD5bR64wy7pvHHhERERHRUsTiaAkaObVO422D2nd1/jqjrDPyAwAkQQdH9re4zoiIiIiI5hyLoyUopMtHSGsFAAiQYbG9BcjheemL2f7+OOuMMualL0RERES0tLE4WooEAc6MB5Smxt8Bw+DxOe+GYeAIjCOeN7LOaON1HkFERERENHtYHC1RQeNKeC0VStvUewBiaHDOnl/vqIbF/n60P7ocrjMiIiIionnF4mgJc2XcC0k0AABEOQCz7d05eV6tuwmWnjeUdlidisFlj3GdERERERHNKxZHS5isMsOVca/S1rsboXU3zepzarxtSO56GQIkAICkMmMg5y8hqZNm9XmJiIiIiG6ExdES57NsQkBfqLQttncAKTArz6X2dyK583kIcggAIIk6DOQ8wQAGIiIiIkoILI6WOkGA0/ogZKgAAKrQAEx9n8T9acRgH5I7noEo+QAAsqDG4LLvIqTLiftzERERERFNB4sjQlibBU/qTUrbOHAUan9n3M4vhpxIvfafUIWdAAAZAgazHkHQUBS35yAiIiIimikWRwQAcKfehrA6DQAgQIKl5y1AlmZ8Xo23FalXfwdVqE855rQ+hIC5ZMbnJiIiIiKKJxZHFCFq4LR+VWlq/Fdg7P98+gWSHILJ/iFSrv1vqEIDymFn+r3wJW2eYWeJiIiIiOKPxREpAsZi+MzRTVjNfZ8g9eq/T3mKncrfhdQrv4Np4BAEyAAAGSKc6ffAO2L6HhERERFRIlHPdwcosbgy7ofGewmqsANAZAQp9cq/wZuyC+602yGLuokfLEswDB6DufcjJZEOAEKaTDiy9iGkz53t7hMRERERTRuLI4ohqS3oz/8BzPb3oXfVAYisQTIOHIbOVQdnxlcQMJUAggBIAaiCvVAHe6EK9kLrbobW1xZzPk/ydrjS7wFE7Xy8HCIiIiKiSWNxRGNI6iQ4sh+Bz70JZvufoQ5GwhRUoUGkdL2IkDYLQtijpM+NJ6yywGn9OgKmNXPVbSIiIiKiGWFxRBMKmIrRZ3gSpv6DMPZ/AQFhAIA60H3dx/lMpXBavwZZZZqLbhIRERERxQWLI7o+UQN3+p3wWcpgsf0ZWm9rzM0yVAhr0of+S0PAuBIB49rItDsiIiIiogWExRFNSlhrxUDO96HxtUEV7EVYnYawJh2SOgkQGHpIRERERAsfiyOaPEFA0FCEoKFovntCRERERBR3CVUcNTc3480338T58+cRCoWQl5eHu+++G3v27JnSeVpbW1FVVYWGhgZ0d3fD6XQiOTkZ69atw1e/+lUUFBTMzgsgIiIiIqIFK2GKo5MnT+K3v/0tZFnGunXrYLFY0NDQgN/97ndob2/HY489NqnzhMNh/OQnPwEAWCwWrFq1CjqdDm1tbThy5Ai+/PJL/OhHP8L27dtn8+UQEREREdECkxDFkcvlwu9+9ztIkoS///u/x7Zt2wAAAwMD+NnPfob3338fmzZtwvr16yd1vtWrV+PrX/86ysvLIYqR9TCSJOG1117Dm2++iaeffholJSVISkqatddEREREREQLS0KspP/ss8/g8XiwefNmpTACgJSUFDz66KMAgPfee29S51KpVPj1r3+NyspKpTACAFEUsW/fPuTm5sLr9aK6ujq+L4KIiIiIiBa0hCiOTp8+DQDjTnWrrKyERqNBfX09AoHAjJ5HEATk5+cDAPr7+2d0LiIiIiIiWlwSoji6fPkyAKCoaGwKmlqtxvLlyxEMBtHR0THj5+rp6QEQGZUiIiIiIiIaNu/FkcfjgdvtBgCkpaWNe5/h43a7fUbPde7cObS2tkKtVqO8vHxG5yIiIiIiosVl3gMZfD6f8rNOpxv3PsPHR953qjweD55++mkAwH333YfU1NRJP/bHP/7xmGNarRa/+c1vAAAZGRnT7lc8qNWRP8bMzMx57cdiwmsaX7ye8cdrGl+8nvHHaxpfvJ7xx2saX4vlesalOPqf//N/4sqVK1N6zA9/+EOsWrUqHk9/Q5Ik4V//9V/R2dmJVatWYd++fXPyvEREREREtHDEpTiy2WxTXg/k9/sBAHq9PuaY0Wic1H2n4ve//z2qq6uRk5ODn/zkJ0plO1m//e1vr3u73W6HLMvT6ls8DFfoNptt3vqw2PCaxhevZ/zxmsYXr2f88ZrGF69n/PGaxlciXE9BELBs2bIZnSMuxdHw9LLpMBqNMBqN8Hg86OvrG7c46uvrAzC96WsvvPACPv/8c6Snp+Opp57i3kZERERERDSueQ9kAICCggIAQGtr65jbQqEQLl++DI1Gg5ycnCmd96233sK7776L5ORk/MM//MO8rw0iIiIiIqLElRDFUWVlJQDg+PHjY26rrq5GMBjE+vXrodVqJ33OTz75BK+88gpMJhN++tOfTrmwIiIiIiKipSUhiqPbb78dBoMBVVVVOHHihHJ8cHAQL774IgDg/vvvH/O4J598Ek8++aQy7W7Y8ePH8R//8R/Q6/X4b//tv6GwsHBW+09ERERERAvfvEd5A4DZbMbf/M3f4F/+5V/w29/+FiUlJbBYLKivr4fb7cY999yDDRs2jHnccAhEKBRSjg0ODuJf//VfIcsyrFYrPv74Y3z88cdjHrtlyxZs3bp19l4UEREREREtKAlRHAHA9u3b8Ytf/AJvvvkmWlpaEAqFkJubi7vvvhu33nrrpM/j9/uVYuny5cu4fPnyuPfLzMxkcURERERERIqEKY4AYO3atfjv//2/T/r+r7322phjVqt13ONERERERETXkxBrjoiIiIiIiOYbiyMiIiIiIiKwOCIiIiIiIgKQYGuOFipBEOa7CwASpx+LCa9pfPF6xh+vaXzxesYfr2l88XrGH69pfM3n9YzHcwuyLMtx6AsREREREdGCxml1REREREREYHG0KPzkJz/BT37yk/nuxqLCaxpfvJ7xx2saX7ye8cdrGl+8nvHHaxpfi+V6cs3RIhAIBOa7C4sOr2l88XrGH69pfPF6xh+vaXzxesYfr2l8LZbryZEjIiIiIiIisDgiIiIiIiICwOKIiIiIiIgIAIsjIiIiIiIiANzniIiIiIiICABHjoiIiIiIiACwOCIiIiIiIgLA4oiIiIiIiAgAiyMiIiIiIiIALI6IiIiIiIgAsDgiIiIiIiICwOKIiIiIiIgIAKCe7w7Q5F27dg2nTp1CXV0dOjs7MTg4CJPJhDVr1uC+++7DunXrpnXe06dP45133sGlS5cAAIWFhXjggQewadOmOPY+8fh8Ppw8eRIXLlxAS0sL2tvbEQqF8K1vfQsPPvjglM938OBB/O53v5vw9p07d+LJJ5+cfocXgHhf02FL9T06UnNzM958802cP38eoVAIeXl5uPvuu7Fnz54pnWepvE8DgQDefvttHD16FHa7HWazGWVlZdi3bx/S09OndC63243XX38dJ0+exMDAAFJSUrBlyxY8/PDDMJlMs/QKEk+8rukPfvAD2Gy2CW//l3/5F+Tm5sajywmrtbUVdXV1yr+V/f390Gg0eOmll6Z1Pr5H43tNl/p71O/3o7a2FqdPn8bFixdhs9kgSRKys7Oxbds23H///dDr9VM650J6j7I4WkB++ctfoq+vDwaDAatXr0ZxcTGuXr2KkydP4tSpU/jud7+L++67b0rn/OCDD/Dss89CpVJhw4YNUKvVqKurwz//8z/j8ccfx7333jtLr2b+dXV14d/+7d/ift6CggIUFhaOOb569eq4P1eimY1rupTfo8NOnjyJ3/72t5BlGevWrYPFYkFDQwN+97vfob29HY899tiUz7mY36eBQAC//OUv0dzcjNTUVGzevBk2mw0HDx5EdXU1fvWrXyE7O3tS53I6nXjqqafQ2dmJrKwsbNmyBVevXsWHH36Impoa/PrXv4bFYpnlVzT/4nlNh91yyy3jHjcajfHockL705/+hKqqqrici+/RiHhe02FL9T165MgR/P73vwcA5Ofno6ysDF6vF+fPn8drr72Go0eP4h//8R+RnJw8qfMttPcoi6MFJC8vD48++ii2b98OtTr6R/fxxx/jP/7jP/DCCy+grKwMeXl5kzpfR0cHXnjhBWg0Gvz85z9HcXGxcvwf/uEf8MILL6CiogLLli2bldcz3/R6PW677TasWrUKK1euxIkTJ/Dmm2/O+LzD34QsRfG+pkv9PQoALpcLv/vd7yBJEv7+7/8e27ZtAwAMDAzgZz/7Gd5//31s2rQJ69evn9J5F/P79K233kJzczOKi4vx1FNPKd9wvvfee3j++efx9NNP4xe/+MWkzvXcc8+hs7MTW7duxd/93d9BpVIBAP7whz9g//79eO655/DDH/5w1l5LoojnNR32gx/8YDa6uiAUFxejsLAQK1euxMqVK/Ff/st/mfa5+B6NiOc1HbZU36NqtRp33XUX7rvvvpjfr/39/fjNb36DtrY2PPvss/jRj340qfMttPco1xwtIE899RR2794dUxgBwJ133omysjJIkoQvv/xy0uf74IMPEA6HceeddyofOgEgJycHX/va1xAOh/Hhhx/Grf+JJjs7G3/913+NO+64AytWrIAo8q/DTMX7mi719ygAfPbZZ/B4PNi8ebNSGAFASkoKHn30UQCRD6gUEQqFsH//fgDA9773vZipH/fffz8KCgrQ1NSE1tbWG55rYGAAhw8fhkqlwve//33lFzoAfOc730FSUhKOHDmCgYGBuL+ORBLPa0oRDz74IB5++GFs2rQJKSkp0z4P36NR8bqmFBkx+/73vz/mi8fU1FR873vfAxCZ0RAKhW54roX4HuWnwUWioKAAQKSqn6zq6moAwPbt28fctmPHDgCRtR5E84Xv0ejrG+8aVFZWQqPRoL6+HoFAYK67lpDOnTsHt9uNrKwsrFixYsztwwXmZKbf1NTUQJZllJSUjPmwpdFosGnTJkiShDNnzsSj6wkrnteU4ovvUZprw583g8EgnE7nDe+/EN+jnFa3SHR3dwPApL8tcbvdsNvtADDuuoP09HRYLBbYbDZ4PJ5FP782nlpbW/HCCy/A6/UiJSUF69evR0lJyXx3a8HhezTi8uXLAICioqIxt6nVaixfvhwXL15ER0fHuNdpIov1fdre3g4A436IB6LXcfh+MznXihUr8PnnnytBIYtVPK/pSO+88w66urqg0WiQn5+PrVu3IikpaWadXWL4Hp1dfI+ONfx5U6VSwWw23/D+C/E9yuJoEejq6lK+Yd+8efOkHjP8odNkMk2YOJKeng6n0wm73Y7ly5fHp7NLQHV1tfLnAUQWiZaUlODJJ5/kUP8U8D0KeDweuN1uAEBaWtq490n7/7d3d7FN1X8cxz9b98DGNqaObRlqxIdYCUJVJKIzsA4RTOOFykgI8yle+ICxFxhNdkFMDKDGGWJCjCH4ECCKKBeSBUWZiYYAk2YBdbg5YQxG1q0dq4Cwtuv/Yjn9U9eNlpV27Xm/rtg5v/Pr6Zdvsn7Wc37n+uvV2dmp/v7+uMJRpvap0TdjrZ5m1NEYF8tcY9XeeI1Y5kpniazp5bZu3Rrx82effabnnntOdrv9Ks7SnOjRa4seHa2pqUmSZLPZlJube8Xx6dijhKM0FwwGtWnTJvn9fj344INR/7oczcWLFyVJ+fn5Y44x9hljMb7S0lItX75c999/v8rLyzU0NKS//vpL27Zt0x9//KENGzZo3bp13NsUI3o08n2NVYd4a5DpfXqlvjGCdiz1utJcxvZLly7FfZ7pJJE1lRReQOTWW29VSUmJent71dzcrKamJn300UcqKirS/PnzE3PyGY4evTbo0ehcLpeam5tlsVi0YsWKmI5Jxx4lHCXR+++/r+7u7riOWb16tW6//fYx92/ZskXHjh1TRUWFXnjhhZjnDYVCkqSsrKy4zmcyuRb1nAibzSabzRb+ubCwUPPmzdPs2bP1xhtv6O+//9b+/ftVXV19TV4/ESZTTTOhR6XJVVMpM/p0PEbfXO3+aGPTvQcnKpE1laTnn38+4uebbrpJTz/9tKqqqvTxxx9r27ZtpvzgeTXo0WuDHh3t1KlT+vDDDxUKhVRfXx/zlQrp2KOEoyTq6+tTT09PXMeMl6R37typvXv3atq0aWpoaIjp2k9DQUGBpPH/0me8drwP+kqWRNfzWpkyZYqWLVumLVu2qLW1dVJ/6JxMNc2EHpUmVtPL39elS5ei3leVqBqkU5+Ox+ibsfoynnpdqQeNucb7djMTJLKm47Hb7fryyy915swZud1ulZeXT2g+M6BHk8usPerxeLRu3TqdP39eDocjrucLpmOPEo6SaMOGDQmba8+ePdqxY4cKCwvV0NAQ98P3ysrKJI3c9H7x4sWov9Q8Hk/E2MkmkfW81ozlMCfTUpXRTKaaZkKPShOraWFhoQoLC3XhwgV5vd6o4cjr9UpKTA3SpU/HY9TB6I3/iqdexhjjmP9Kh/5LhETWdDzZ2dmqqKjQ4OCgBgYGTPPBcyLo0eQyY4/6fD69/fbb6u/v16JFi1RfXx/X8enYo+l5UbnJ/fzzz/rkk0+Un5+vN998M66bsA1Tp04NN2K0FUI8Ho/++ecflZWVZewqYMlk3FQ/mb/hmGzo0RHGsqnRniETCAR08uRJ5ebmqqqqasKvlQl9atTr+PHjUfcbdTTGTWQuY3ssc6WzRNb0SjKhB5OJHk0+M/Xov//+q/Xr1+v06dOaP3++Xnzxxbgvj0vHHiUcpRmXy6VNmzbJYrFozZo1slqtVz3XvffeK0k6cODAqH3Gw2SNMZgYo8axLpiBEfTo+DVwuVzy+/2aPXu28vLyJvxamdCnVqtVhYWF6u3tjfrL+ODBg5Ji6xubzaasrCy1tbVpcHAwYp/f79fhw4eVlZWle+65JzEnP0klsqbj6e7uVk9Pj/Lz8zVjxowJzWUW9GhymalH/X6/3n33XXV2dmru3LlyOp1XtVBPOvYo4SiNHDt2TI2NjZIkp9OpuXPnxnSc0+mU0+kc9ZXmY489puzsbO3du1ft7e3h7WfOnNGuXbuUnZ0d13WlZjFWPZuamkZdUxsIBPTVV1/pwIEDysvL06JFi5J4pumDHh1bbW2tCgoK9Ouvv4Y/hErS4OBgeJlZh8Mx6jiz9mlOTo6WLl0qaWTBmsvf6+7du9XV1SWr1Rqx4MWePXvkdDq1ffv2iLmuu+46PfTQQwoEAtq8ebOCwWB439atW+Xz+VRdXZ3WS5/HIpE1bW1tjfotaFdXlxobGxUKhWS325WTw1X/l6NHE48eHdvw8LA2btyo33//XXfddZfWrFlzxfebST2auf+zGeidd97R0NCQysvL1dLSopaWllFjrFaramtrI7YZN4MHAoGI7VVVVVq1apU+//xzrV27VnPmzJHFYtGRI0c0NDQUXpklk7333nvh+yuM616/++67cG1LS0v1+uuvRxwzVj0//fRTbd++XTfeeKPKysrk9/t14sQJDQwMKDc3V6+++uqY6/xnkkTWlB6VioqK9NJLL+mDDz5QY2OjZs2apeLiYh09elTnz5/XsmXLdPfdd486zsx9+sQTT+jo0aP6888/9dprr8lqtaq/v18dHR0qLi7Wyy+/HDHe5/Opp6dHAwMDo+Z69tln1dHRoYMHD8rpdOq2225Td3e3uru7VVFRoWeeeSZZbyulElXT9vZ27dy5U9OnT1dFRYVKSkrkdrt1/PhxBYNBzZo1SytXrkzmW0sJl8ulr7/+OmJbIBBQQ0ND+Ocnn3wy/G0cPXpliaopPToSdA4dOiRJKi4u1ubNm6OOq6+vDz8UN5N6lHCURozrXN1ut9xu95jj/huOxuNwOFRZWalvv/1WbW1tkkYuqXn88cdjfqBsOjtx4oT6+voitnk8nvCH+unTp8c811NPPaX29nadPn1ap06dUigU0g033KDFixfL4XBk/Id4QyJrKtGjkvTAAw/orbfe0jfffKOOjg4FAgHNmDFDjz76qGpqauKaywx9mpeXp7Vr12rXrl365Zdf1NLSoqlTp2rhwoVasWJFXDf+lpSUaP369dqxY4daWlp06NAhTZs2TUuXLlVdXV1cq4Sms0TV1GazyePxqLOzU11dXbpw4YIKCgpktVpVXV2tmpqatH3GVjx8Pp86OjoitoVCoYhtPp8vprno0RGJqik9Kp07dy78byMkRbN8+fJwOBpPuvVoVijeBxQAAAAAQAbK7OgLAAAAADEiHAEAAACACEcAAAAAIIlwBAAAAACSCEcAAAAAIIlwBAAAAACSCEcAAAAAIIlwBAAAAACSCEcAAAAAIIlwBAAAAACSCEcAAAAAIIlwBAAAAACSCEcAAAAAIIlwBAAAAACSCEcAAAAAIIlwBAAAAACSCEcAAJM5d+6cVq1apbq6Ou3fv3/csV988YXq6uq0evVqhUKhJJ0hACBVCEcAAFMpKirSggULJEk//vjjmOOGh4f1008/SZLsdruysrKScXoAgBQiHAEATGfJkiWSpN9++029vb1Rx7hcLnm9XlksFtnt9mSeHgAgRQhHAADTueOOOzRz5kyFQqExvz364YcfJEn33XefSktLk3h2AIBUIRwBAEzpkUcekSQ1NzcrEAhE7PN6vWptbY0YBwDIfIQjAIApVVdXq6CgQIODgzp8+HDEvn379ml4eFjl5eWaM2dOis4QAJBshCMAgClNmTJFDz/8sKT/X0InjSzE0NzcLEmqra1lIQYAMBHCEQDAtIyFGY4cOSK32x3+d19fnywWi2pqalJ5egCAJCMcAQBM6+abb9add96pUCikffv2Sfr/t0jz5s1jIQYAMBnCEQDA1C5fmMHr9YbvP1q8eHEqTwsAkAKEIwCAqS1YsEDFxcUaGBjQxo0bFQwGWYgBAEyKcAQAMLXc3FwtXLhQktTW1iaJhRgAwKwIRwAA01uyZEk4DLEQAwCYF+EIAGB6lZWVuuWWWySxEAMAmBnhCABgemfPntXJkyclsRADAJgZ4QgAYHrff/+9gsGgKisrWYgBAEyMcAQAMLXOzk7t3r1bkuRwOFiIAQBMLCfVJwAAQCq88sor8vv9Onv2rCRp5syZstvtqT0pAEBKEY4AAKbU19cnSSotLZXNZtPKlSuVk8OvRQAws6xQKBRK9UkAAAAAQKpxzxEAAAAAiHAEAAAAAJIIRwAAAAAgiXAEAAAAAJIIRwAAAAAgiXAEAAAAAJIIRwAAAAAgiXAEAAAAAJIIRwAAAAAgiXAEAAAAAJIIRwAAAAAgiXAEAAAAAJIIRwAAAAAgiXAEAAAAAJKk/wEA4cjKGOVYQAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, stepf(x))\n", "\n", "for fi in fs:\n", " plt.plot(x, fi)\n", "\n", "plt.xlabel('x')\n", "plt.xlabel('y')\n", "plt.legend([\n", " 'Step', 'n=3', 'n=5', 'n=7', 'n=9'\n", "])" ] }, { "cell_type": "markdown", "id": "7626f01f", "metadata": {}, "source": [ "- Piecewise interpolation, smooth" ] }, { "cell_type": "markdown", "id": "5338331f", "metadata": {}, "source": [ "### Linear spline\n", "- 구간 내에서 선형 보간\n", "- Continuity\n", "\n", ":::{figure-md} LinearSpline\n", "\"linearspline-fig\"\n", "\n", "Linear Spline (from Wikipedia)\n", ":::\n", "\n", "\n", "- 각 구간은 선형 분포\n", "\n", " $$\n", " s_i(x) = a_i + b_i(x-x_i)\n", " $$\n", " \n", " - 연속분포 만족\n", " \n", " $$\n", " \\begin{align}\n", " a_i &= f_i \\\\\n", " b_i & = \\frac{f_{i+1} - f_i}{x_{i+1} - x_i}\n", " \\end{align}\n", " $$\n", " \n", " - Linear Newton or Lagrange interpolation\n", " \n", " - knots: 두 스플라인이 만나는 점\n", " * 기울기가 급격히 변함\n", " \n", "#### 예제\n", "다음 분포에 대한 선형 Spline 을 구하시오\n", "\n", "| i | $x_i$ | $f_i$ |\n", "|---|-------|-------|\n", "| 1 | 3.0 | 2.5 |\n", "| 2 | 4.5 | 1.0 |\n", "| 3 | 7.0 | 2.5 |\n", "| 4 | 9.0 | 0.5 |" ] }, { "cell_type": "code", "execution_count": 21, "id": "68b04f66", "metadata": {}, "outputs": [], "source": [ "xdata = np.array([3, 4.5, 7.0, 9.0])\n", "fdata = np.array([2.5, 1.0, 2.5, 0.5])" ] }, { "cell_type": "code", "execution_count": 22, "id": "76866cf9", "metadata": {}, "outputs": [], "source": [ "xs = np.linspace(3, 9, 61)\n", "\n", "s = []\n", "for x in xs:\n", " for xf, xb, ff, fb in zip(xdata[:-1], xdata[1:], fdata[:-1], fdata[1:]):\n", " # Left \n", " if abs(x - xf) < 1e-12:\n", " si = ff\n", " s.append(si)\n", " break\n", " # Right\n", " elif abs(x - xb) < 1e-12:\n", " si = fb\n", " s.append(si)\n", " break\n", " # Between\n", " elif (x - xf)*(x - xb) < 0:\n", " si = ff + (fb - ff)/(xb - xf)*(x - xf)\n", " s.append(si) \n", " break" ] }, { "cell_type": "code", "execution_count": 23, "id": "8b944509", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(xdata, fdata, linestyle='', marker='x')\n", "plt.plot(xs, s)\n", "\n", "plt.xlabel('x')\n", "plt.xlabel('y')\n", "plt.legend(['Point', 'Linear Spline'])" ] }, { "cell_type": "markdown", "id": "15b4252e", "metadata": {}, "source": [ "### 2차 스플라인\n", "- 구간 내 2차함수\n", "- 내부 절점에서 1차 도함수가 연속\n", "\n", ":::{figure-md} QuadSpline\n", "\"quadspline-fig\"\n", "\n", "Quadtratic Spline (from Wikipedia)\n", ":::\n", "\n", "- 각 구간은 2차 함수\n", "\n", " $$\\begin{align}\n", " s_i(x) &= a_i + b_i(x-x_i) + c_i (x - x_i)^2 \\\\\n", " s'_i(x) &= b_i + 2c_i (x - x_i)\n", " \\end{align}\n", " $$\n", " \n", " - 연속조건 $s_i(x_i) = f_i$\n", " \n", " $$\n", " a_i = f_i\n", " $$\n", "\n", " - 절점에서 값이 같아야 함 $s_i(x_{i+1}) = s_{i+1}(x_{i+1}) = f_{i+1}$\n", " \n", " $$\n", " f_i + b_i h_i + c_i h_i^2 = f_{i+1}, h_i = x_{i+1} - x_i\n", " $$\n", " \n", " - 절점에서 1차 도함수 같음 $s'_i(x_{i+1}) = s'_{i+1}(x_{i+1})$\n", " \n", " $$\n", " b_i + 2c_i h_i= b_{i+1}\n", " $$\n", " \n", " - 첫점째 점에서 2차 도함수 0\n", " \n", " $$\n", " c_0 = 0\n", " $$\n", " \n", "#### 예제\n", "앞선 분포에 대한 Quadratic Spline 을 구하시오.\n", "\n", "- 4개의 데이터와 3개의 구간\n", " * 미지수 $b_0, b_1, c_1, b_2, c_2$\n", " \n", "- 선형 방정식 구현\n", " \n", " $$\n", " \\begin{bmatrix}\n", " h_0& 0 & 0 & 0 & 0 \\\\\n", " 0 & h_1 & h_1^2 & 0 & 0 \\\\\n", " 0 & 0 & 0 & h_2 & h_2^2 \\\\\n", " 1 & -1 & 0 & 0 & 0 \\\\\n", " 0 & 1 & 2h_1 & -1 & 0\n", " \\end{bmatrix} \n", " \\begin{bmatrix}\n", " b_0 \\\\ b_1 \\\\ c_1 \\\\ b_2 \\\\ c_2\n", " \\end{bmatrix}\n", " =\n", " \\begin{bmatrix}\n", " \\Delta f_1 \\\\ \\Delta f_2 \\\\ \\Delta f_3 \\\\ 0 \\\\ 0\n", " \\end{bmatrix}\n", " $$" ] }, { "cell_type": "code", "execution_count": 24, "id": "4649c23d", "metadata": {}, "outputs": [], "source": [ "xdata = np.array([3, 4.5, 7.0, 9.0])\n", "fdata = np.array([2.5, 1.0, 2.5, 0.5])\n", "\n", "h = np.diff(xdata)\n", "df = np.diff(fdata)\n", "\n", "A = np.array([\n", " [h[0], 0, 0, 0, 0], \n", " [0, h[1], h[1]**2, 0 ,0],\n", " [0, 0, 0, h[2], h[2]**2],\n", " [1, -1, 0, 0, 0],\n", " [0, 1, 2*h[1], -1, 0]\n", "])\n", "\n", "ff = np.array([df[0], df[1], df[2], 0, 0])\n", "\n", "# Solve equations\n", "x = np.linalg.solve(A, ff)\n", "\n", "b= np.array([x[0], *x[1::2]])\n", "c = np.array([0, *x[2::2]])" ] }, { "cell_type": "code", "execution_count": 25, "id": "6016829c", "metadata": {}, "outputs": [], "source": [ "xs = np.linspace(3, 9, 61)\n", "\n", "s = []\n", "for x in xs:\n", " for i, (xf, xb) in enumerate(zip(xdata[:-1], xdata[1:])):\n", " # Left \n", " if abs(x - xf) < 1e-12:\n", " si = fdata[i]\n", " s.append(si)\n", " break\n", " # Right\n", " elif abs(x - xb) < 1e-12:\n", " si = fdata[i+1]\n", " s.append(si)\n", " break\n", " elif (x - xf)*(x- xb) < 0:\n", " bi, ci = b[i], c[i] \n", " si = fdata[i] + bi*(x- xf) + ci*(x - xf)**2\n", " s.append(si)\n", " break " ] }, { "cell_type": "code", "execution_count": 26, "id": "758a98e3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(xdata, fdata, linestyle='', marker='x')\n", "plt.plot(xs, s)\n", "\n", "plt.xlabel('x')\n", "plt.xlabel('y')\n", "plt.legend(['Point', 'Quad Spline'])" ] }, { "cell_type": "markdown", "id": "f418abab", "metadata": {}, "source": [ "### 3차 스플라인\n", "- 가장 널리 사용됨\n", "- 구간 내 3차함수\n", "- 내부 절점에서 1차 도함수가 연속\n", "- 내부 절점에서 2차 도함수가 연속\n", "- 양 끝 구간\n", " * Natural spline 처음, 마지막 절점: 2차 도함수를 0\n", " * Clamped: 양 끝단 고정 (1차 도함수 0)\n", " * Not-a-knot: 처음 두 구간과 마지막 두구간에 하나의 3차 다항식 (3차 도함수 연속)\n", " \n", ":::{figure-md} CubicSpline\n", "\"cubicspline-fig\"\n", "\n", "Cubic Spline (from Wikipedia)\n", ":::" ] }, { "cell_type": "code", "execution_count": 27, "id": "4f109f4f", "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import CubicSpline\n", "\n", "fnatural = CubicSpline(xdata, fdata, bc_type='natural')\n", "fclamped = CubicSpline(xdata, fdata, bc_type='clamped')\n", "fnotaknot = CubicSpline(xdata, fdata, bc_type='not-a-knot')" ] }, { "cell_type": "code", "execution_count": 28, "id": "e9426506", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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27zHPWtfz2B3CLx5P4GKPF4mpw0UTPN7r8OC9Dg+2lJrxYpMduyus0ORgaprFYsHHP/5xfPDBB3j0KLkmqbOzEx988AGOHz+u+BobQpSQkqAmFovhz/7sz9DR0YFt27bhtddeS/lIQV9fHwYGBmAwGFBRUZHSY2fCXPvQOPVGYCqoMXEhXNl2Aoc9j1DQ8yEKfvFVbPzyn2CCs2OgL4qBvhiikeSZe2IsgStn/dh72AK9gUZkCCGEzM/nTeDquQBCAXHDGUeZFrsOWKBb4az/aCCGH98fw/sdk0JQMa06X4/PbHVgb5UVLMMgkUjgzJkzePDggfAaLcfhmSOHsW7HTuEG3FzhwJPPAldP9sFjrgIA9PfEEI8FsGu/BRqt2NemYhOaik34zR0OnGybxLttk/BExIDt3nAQ94aDKLHo8CvNdpxYb8+5dTcajQbHjx9HJBJBV1cXAKClpQVGoxEHDx6kwIasOau+I+Y4Dt/+9rfx4MEDbNiwAV/5ylcWzek8efIkXnvtNfzoRz+SPX/79m10dnbOen1PTw+++c1vgud5HDt2TLGc0dXgb12etQ+N1WqF3mgSXtM5PIbov/1jYYNO3L6MohIttuwy45mX8lBdrxdeOzmewOUzAUTCc+yKRgghhABwD8dw4X2fLKCpadBjz6GVBTQToTj+9/Vh/M6bnXi3XR7QOG06fPlAOb51og77q21gGQahUAg//elPZQGNNRHFJ1/4CNbt2Dnr+IZyB/afKEORr014bnggjivn/IhFZye2FZl1+PVtDnz3Yw34t/vLUW83yH4+Eojh/9wYwe+/14Nh/+wqb9mOZVl85CMfkQ323rp1Czdu3FCwV4QoY9XRwcmTJ3Ht2jUAgM1mw3e/+905X/fqq68Km2d6vV4MDAxgYmJC9prW1la88cYbcDgcKC0tRV5eHkZGRtDV1YVEIoGNGzfiM5/5zGq7rAj2+EvgADA79gv70DAMg+qqSrS3JU/e5qgHtyJG7P+9PwF/6zLY4y+J72cZbH3CBI0G6GpLnpi9kwlcOu3H/qesMJpoxoYQQoiotzOCu9dDsgpnG7cZUd9kWPYofijG4fX7bvzi8QSiM6ZmSiw6fHpLEY7W5ctSvdxuN37xi1/A6/UKz5WaDHjhIx+FtVK+yaaUrtSBPS8BNy+4MRwrBgCMjyavd/uOWGAwzr7e6TUsjtXn42hdHlpGk6lpl/t8QkrcY3cYv/t2N760twxP1mT3Rt4zabVavPjii/jJT34iLPK+dOkSjEYjNm+eXYCIkFy16qDG7xcrnEwHN3P51Kc+JQQ189m+fTvGxsbQ0dGBnp4eBINBmEwmNDc34+DBgzh69GhWL4CTBinTKisqhKAmL+7BpV4fDhysADPHaxmGwaYdJrAaBh1TlWv8Xk4IbEzm7P23IYQQkho8z+Px/TDaHooVzlgNsHOfGeWV+gXeObcBbxRfO+dCr0c+01Fk0uJTm4twvKEAuhkbc3Z2duLdd9+V7QXX3Ny85GwLbYkDT3y0GHc/DKGvWxzIu3jKj31H5l8HxDAMNpaYsbHEjNFADD+6O4pTncmgKhDj8GcXBvDsUABf3FUKgzZ3rpkGgwEvv/wy3njjDUxOTgIATp8+DaPRiMbGRmU7R0iGpG3zzWyhRElnqfHxcfzgBz8AAIRZA244juLvPtkIvWb+ky3P82h9EEbrA/GCZbaw2H/UArMl98tZqokaSiCS1aHvMPvRdyhKJHjcvhbEQK+8wtmegxYUrKDC2TWXD39+aRDBmJi+lm/U4FObivDcuoI5r1UtLS147733ZM8dPHgQO3bsmHOGaKHvj+d5PLwdRmereL0zmhjse8oKW97Srndnuzz4n9eGEYqL/w9V+Xr83wcrUFNgWOCd2cfr9eLHP/6xUFiJZVm89NJLqK6ef2YsFehvMPup4TtcbUnn3BmmyFJOp1N4bOQi4KIh3B4MLPgehmHQtNmE5i1iFbhggMPFU34EfIkF3kkIISRXJeI8rpz1ywIaWx6Lg8dtyw5oOJ7Hj+6O4k/O9ssCmo9uKMR3Xm7ArzQXzhnQPHz4UBbQ6HQ6/Mqv/Ap27ty5ooXrDMNg43aj7HoXDvG4dMqPUHBpa0qP1OXjz0/UorFQPEafJ4qvnOzGO60Tig5splpeXh4++tGPwmBIBmscx+Gtt97C0NCQwj0jJP0oqFGYzWaTpeXlxT243Le0DcfWbTRi43bJiT7I4+IpP3xeCmwIIWQt4Xketz8MYnxUPP8Xl2rx5NO2ZZds9kcT+OMzLvzjvTHhOaOWxb8/5MTndpbAOE/a1oMHD/D+++8LbbPZjFdeeQV1dXXL/L+RYxgG6zYasWWXWFgnGuFx80oA/Mw60vMot+nx9Wdr8NEN4j5w0QSPv/pwGH96fgD+SO5cN4uKivDSSy8JaX6xWAxvvvkmxsfHFe4ZIelFQY0KSKuW5MW9uOryIzazRuY8GpqM2LJTPNFHwskRLO9k7pygCSGELKztYUQ2Q1NZq8Pew5Zl72fWPRHG773TjRsDYsaA06bHf3m+Bgeq518Xe//+fXzwwQdC22Kx4BOf+ASKioqW9fkLqW00YOsT4vVufDSBtpbIAu+Q02kYfG5nCf7oaCXyDWLq2uU+H157uwstI8GU9VVp5eXleOGFF4R1yOFwGD/72c/g8y1t0JSQbERBjQpIgxpb3ItAlMO94YVT0KRq1xmwbbd8BOvSaT8mx+Mp7SchhBD1GeiL4vH9sNAuLtVi2+7ZG1Yu5ly3F//u3R4M+cXgaE+lFf/1+RpU58+/9uTevXs4deqU0J7eGNJuty/r85eiul6Pimqd0G59EMa4e3nXup1OK779Qh22lZmF50aDcfz++714/Z4biSXO/qhdTU0Nnn32WaHt9/vxs5/9DMFg7gRvhEhRUKMC8pkaD8DzS05Bm1Zdb8COvWZg6hoWi/K4fMYPzwQFNoQQkqs8E3HcvirepFqsLHYdWF5Ak+B4/PXNEXzj4gAiU1kCDIBf31qMrx6ugEU//4L8u3fv4vTp0+LnT83QpCOgAZKpaFt2mWGaSqnjeeDmleCce9gsxG7S4j8dq8JntzswXbiN44Ef3nXjv1wYQDxHApv169fjqaeeEtoTExN48803EY/TvQHJPRTUqIC0WICej8HIhXG1z7/s0aLKWj127Tdjei1mPJY82SeWmMpGCCEke4RDHK6dDyAxlW2s0zHYc8gCvX7pl3ZPOI4/OtWHn7WI6y0sehb/4alKvLKlGOwCi/vv3LmDM2fOCG2r1YpPfOITKCgoWO7/yrLo9Ax27hOvdaEAh3s3gste8M8yDD6xqQhfe7YGJRZx9udynw/fvDiQMzM2W7duxb59+4T2yMgILl26pGCPCEkPCmpUwGw2zyoW4Ikk8GAF+b3OKj2eeNIitP1eDq0Pwgu8gxBCSLZJJHh8eCGAcGhqZoUBdh0ww7rEMscA0DEexpff6ca9YfFaU1NgwDeer8UTFdYF33vnzh2cPXtWaFutVnz84x9Pe0AzrbBYi/WbxEI5/b0xuLpjC7xjfk3FJvz5iVrsLBevnRd7ffjWpcGcCWx2796NLVu2CO3bt2+ju7tbuQ4RkgYU1KhEaWmp8NgWT24UttwUtGllFTrUrRM3WOt4FKH1NYQQkiN4nsedD4OYHBcLwmzaYYKjTLfAu+Q6xsP4w/d74Q6K14bDNXn4s+dqUG5beIPO27dvywIam82WkRmamdZtMKDQIQZx924GV7ytgVWvwVePVGCHJLA51+PFf7ucG4ENwzA4dOiQrHDD+++/T+trSE6hoEYlpEFNnhDU+MGtsH5+81aTUMaT54Hb1ygNjRBCckF7SwT9PeKsRE2DHrWNCwciUj2TEfzRqT4EpvafYRng8ztL8OUny+ct1zzt1q1bOHfunNC22Wz4+Mc/jvz8/GX+X6wewzLYsdcCnS6Zh5aIAzcuB8Gt8Fqn17D46uEKbJcUEDjT7cVfXs2NwEar1eL555+HRpMMBIPBIN5///2c2qeHrG0U1KhESUmJ8NiW8AI8j4lQHI/doRUdT6tlsG2PWBHN5+HQ9pDS0AghJJsNuqJ4dE88lxeVaLF5p2nJG1v2e6P4jx/0wje1L4uGAf6fQxV4eUPhose4efMmzp8/L7SnZ2iUCGimmS0stkqqf3omErJKcMtl0LL4/SOV2FoqBjanOr3471eHVjzIqCZFRUU4ePCg0O7u7sbdu3cV7BEhqUNBjUpIgxodH4eJS04JX+pdeU354hKdbPSuvSVC1dAIISRLeSYSuCWpdGa2snhiGZXOhv1R/OH7vZgMJwMalgG+/KQTe6tsi773zp07uHDhgtDOy8vDJz7xCdl6UKU4q/Sorpdc6x5FMDq8svU1QDKw+Q9PVWKzJLD5oNOD/5Ejgc3WrVtRW1srtC9cuICxsbH530BIlqCgRiX0er2sBOZ0CtqVPt+qpoY3bDXJSl/evrbyqXlCCCHKiIQ5XLvgR2JqXEqrQ7LSmWFpl3F3MIb/8H4fxkLiwNa/3leOgzWLByUdHR2yNTRqCmimbdphgtUm/lvcuhJEJMKt+HgGLYs/fKoSGx3iLNB7HR78rw+Hsz5di2EYHD9+HGZzMmhLJBI4efIklXkmWY+CGhWRr6vxAABGAnG0j698Kl2rY2Qbc3onuWXtwEwIIURZQqWz4NTNNAPs2m+BbYmVziZCcfzh+30YCYizF/9yTymO1S+eNjY4OIiTJ08K7emyzTbb4rM7maTVMti53wx26q4mEuZx59ryyzxLGbUs/vBoJTZIApuTbZP4zvXsD2zMZjOOHz8utMfGxnDx4kUFe0TI6lFQoyLSoKaM8QuPL68iBQ0AHKU61DSIU/NtD8PwTKysQgwhhJDM4Xked68HMTEmqXS2zYiS8qVVOvOG4/ijD/ow4IsKz31hVwmeX7f45piTk5P4+c9/jsTURjh6vR4vv/yy6gKaafl2LZq3imWehwfi6GmPLvCOxZl1GvzHo5VoKhYDm7dbJ/HdGyNZH9jU1tZi+/btQvvOnTtU5plkNQpqVES6rsYQ8YDhk1Pnl1aZggYAG7aZYDQn866FNLQcqOZCCCG5rKcjKtt/pbpej7r1hiW91x9N4I9O9aHHI87Ov7rNgZeaCxd9bygUwj//8z8jHE5mCrAsixdeeEFWEliN6tcb4CjTCu0Hd0LwTq5uEM+s0+CPjlZiXZEYMP3i8QS+dzP7A5sDBw6guLhYaL/33ntU5plkLQpqVMThcAjVZ3guAXMiAAAY9MXQM7m6lDGdjsG23eKiR+9kAu2PKA2NEELUKhhI4OEdsQJmoUODLUusdBaMJfD/ne5D54R4nn9lcxE+uXnxoCQej+PnP/85PB6P8Nzx48dRVVW1zP+DzGMYBjv2mqE3JP+NuARw83IAifjqgg+LXoP/dKwKjYViYPPmown87e3RVR1XaVqtFs8995xQ5jkUCuG9997L+mCNrE0U1KiIVquVjYKtM4oXs0sr3IhTqqRMh+o6MQ2t9UF41SNYhBBCUi+5wWZIKAyg0zPYtd8CVrN4QBOJc/iTMy48dovrMV9utuMzW4sXeFcSx3F49913MTQ0JDy3f/9+NDc3L/9/QiEGI4sde8VBPJ+XQ1vL6rc0sOo1+H+PVaGhUJwp+8nDcZzp8izwLvUrKirCoUOHhHZPTw/u3LmjYI8IWRkKalRGuq6mWhsQHq92Xc20jdtNMJqmZ4MoDY0QQtSopyMK97BYjWrzDhOMpsUv2bEEh/98rh/3R8RBsY+sK8DndpYsaYbnwoUL6OjoED9382Y88cQTy+y98krKdahbJw7idTyOIBRceTW0aVaDBv/vsWrUFoiBzX+/OoTuiezeB27Lli2oq6sT2hcuXIDb7VawR4QsHwU1KiNdV6OPTAqPez1RuDyrTxfT6RlslaSheSYS6HhMaWiEEKIWwQAnSzsrdWpRUbN4YYAEx+O/XBjA7UFxQOxYfT5+a3fpkgKaW7du4fbt20K7trYWTz311JI39lSb5i0mGIxiGtqjeyvbzHomm0GD3z9SAZs+eQsVTfD42rl++KPZm/nAMAyefvppocwzx3FU5plkHQpqVEY6U+MZH0NdgXghS0UKGgCUlutQVStJQ7sfhs+TvSdjQgjJFcm0s6As7WzrE+YlBRY/vDOKqy6xcubBGhv+r71lYJfw3vb2dpw/f15oOxwOPP/882DZ7L1N0OoYNG0W18C4umOYHE/NTXqpVY8vP+nE9L/skD+Gb10azOrNOc1mM5599lmhPT4+LvudIETtsvdslaOKioqEiwjHcdhtF4ONVKWgAcDGHUZxBGsqDY2nNDRCCFFUb+fK0s4u9XrxTw/HhfbuCit+94ATGnbxgGZwcBDvvvuu0LbZbHjppZeg1+sXeFd2qK7Tw5Yv/vs9vBNO2SL4nU6rbJ3Sh/1+vPFgLCXHVkp1dTV27NghtO/du4eenh4Fe0TI0lFQozIajQYOh0NoV0nW1XRORDDkW13N/Wl6PYutT4hpaJPjCXS2UhoaIYQoJRjg8PD28tPOej0RfPuyuLC/Kl+PLz9ZDu0SApqJiQnZXjQGgwEvv/wyLBbLCv4P1IdhGWzcJu4xMzYSx/BA6lKqPrm5CLsrxH+rH91x45Yk/S8b7d+/X1bm+dy5c8LvByFqRkGNCknX1US9Y6jME0fLUpWCBgBlFTrZBbP1QRjRyOoXUhJCCFme6U02p5cw6HRLSzsLRBP42lkXwvHkudusY/HVw5Uw6zSLfmYwGJy1F82LL76IwsLF97HJJiXlOtneNQ/vhFJWIIdlGLx2wIkya/JaygP4xoV+DPtTMwCpBK1Wi2eeeUZoT0xM4O7duwr2iJCloaBGhaTrakZGRnCgWty9OZUpaEAytUGnT14043FQ0QBCCFFAX1cUo0PiDMKmJaSdcTyPP780iAGfuDnnlw84UZG3eNpYIpHAW2+9Ba/XKzz3zDPPoKKiYgW9V7+N20yYXgAT8HHo6Uhd0GHVa/D/HK6Afqrcti/K4U/PDyCayN5BQofDgc2bNwvtq1ev0qacRPUoqFEhaVAzNjaGPU5x6rx1LAx3MDbX21ZEb2DR0CSWpuxqiyASzt4TMSGEZJtQkMMDSdpZSbkWlbWLp529fn8MH/aLhQF+dUsRdldal/SZ586dw+DgoNA+cOAAmpqaltHr7JJXoJm1T1ssmrp1pHV2I760t0xod4yH8Z0Ph1N2fCXs27dPWFcVjUZx5coVhXtEyMIoqFEhu90OrTY5Vc7zPCwxrzC1DaR+tqZunUHYfTlBszWEEJIx09XO4lNjVTodg227F087u97vxz/cFfcR2V1hwae3LL65JgC0tLTg3r17Qnvjxo3YtWvX8jufZZo2G6GZykKLRviUbMgp9VRdPk6sLxDa73V48Mv2yZR+RiaZzWbs3btXaN+/fx+jo6MK9oiQhVFQo0Isy8rW1cxMQbuU4qBGq2PQ0EyzNYQQkmkrSTsb8EbxzYsDmJ5ncNp0eO2Ac0mlm0dGRnDq1CmhXVJSktV70SyH0cSisVks8dzVGkEwkNoF8J/fWYqmYvEzvvPhMNrGUrM/jhK2bt0Ku90utM+ePZuy6nGEpBoFNSolDWqGh4dlQU3LaAjjodRuiFXbKM7WcAmgrYVmawghJJ1WknYWinH42jkXArHkwJNRy+Crhyth1S9eGCAcDuPtt98WKlkZjUacOHFCyAxYC+qbDDCaxO0MHt1N7WyNTsPg3x2qQL4x+X3EOB5/eq4f3nB2bmKp0Whw6NAhoT0wMIC2tjYFe0TI/CioUamZxQIaC40osUylpAG4ksIqaACg1TJo3CDO1vS0RxAO0WwNIYSkg1DtbCrtTKvDotXOeJ7HX1wZRK9HXOT+b/aXo7rAMO97pnEch3fffVcoDMAwDJ5//nnk5eWt7n8ky2i1DJq3iOtU+3tjmBhLbcBRbNbh/z7oxHRF7dFgHN+4NIhElu4FV1tbi9raWqF98eJFxGKpW9tLSKpQUKNS0qBmYmIC0WgUB6rFi0+qU9AAoLbBINuQs+1hakewCCGEJLm6oxgZlKSdbTfBZF74kvzTlnFclJz7P76xEE9WLy0ouXbtmmwTxX379qG6unqZvc4NlbU65BWIM1sPbodSnlK1pdSCz24X95y7PRjAP9xzL/AOdTt06JCwMbjP58PNmzcV7hEhs1FQo1L5+fmy3ZxHR0exv0pMQXswEsRkiqezNVoG6zaIucC9nVGEgjRbQwghqRQKcrh/S552VlW3cBnm24MB/N1tcZH29jIz/sU2xwLvEHV2duLatWtCu6GhAU888cQye507GIbBpu3itW7CncCgK/UzDx/dUCi7br9+fwy3s3RjTrvdju3btwvtGzduwOdL/eAqIatBQY1KMQwjm60ZHh7G+mIjikzJFDSOB672+ed7+4pVN+hl+cY0W0MIIal1/2ZoWWlnw/4o/uvFAUxnL5VYdPi9gxXQsIsv7p+cnMQvf/lLoW2323H8+PE1URhgIcWlOpQ6xbVELXfD4BKpna1hGAb/Zn+ZbAPt/351CKFYdg4W7t69GyZTMnUvHo/j4sWLCveIEDkKalRsZgU0lmGwX1oFLcXragBAo2GwbqNktqYrmvLqMIQQsla5h2MY6hdnBRZLO4vEOfzp+X74IsnzsF7D4KuHK5BnWLwwQCwWw1tvvYVoNLkGR6fT4cSJEzAYFl+DsxZs2GbCdGwX9HPobk99gRyzToPfe9KJqX05MRKI4Qd3srMsssFgwIEDB4R2a2sr+vv7FewRIXIU1KjYzJkaALIqaHeHAvBGUh9wVNXpYTInz8A8B7Q9pEpohBCyWjzH48FtcfbbXqRZNO3sb2+PomNcPAd/aW8Z6guNC7xj6rN4Hh988AHGxsaE544fP46ioqIV9Dw32fI0qGmQbMj5MIJoJPWzKPWFRnx8o/jv/tbjCbSMBFP+OZmwceNG2YDruXPnwHHZOfNEcg8FNSomDWq8Xi9CoRCai02wT5WK5Hjgmiv9szV9XVEE/DRbQwghq9HXHYV3UjyXbtpuWjAN7M5QAL94PCG0X2iy46m6/CV91p07d9Da2iq0d+7ciXXr1q2g17lt/SYjtFNVtGNRPm2DeJ/eUiSkofEA/uLqEKKJ7AsGGIbBkSNHhPbo6CgePnyoYI8IEVFQo2JWq1XIXwWSKWgalsG+qvRtxDmtqk4PsyX568HzQNsDmq0hhJCVisd4PLonztJUVOtgL55/fxh/NIFvXx4U2jUFBnxux9IKA/T39+PChQtCu7KyUpY2REQGIysrkNPVHkHAl/pBPJ2Gxb/ZX47pELbfG8U/3M3Oamjl5eVoamoS2pcvX0Y4TOtvifIoqFGxmcUCRkZGAMhT0O4MBeCPpv4EzLIM1m0U8677eqLwp+FETwgha0FbSxiRcHIhOqsBmreaFnz9/74+jLFgssKllgV+90A5dJrFL9l+vx/vvPOOkBJktVrx/PPPC+V4yWx16w2ylGtp8JlKTcUm/EqzXWj/tGUc7WPZGQwcOHBA2LQ1FArhzJkzynaIEFBQo3rS3NXpdTWbSszIn1okGueAD12pr4IGAJW1epitU78iPND6IDtPvoQQoqRggEPnY3G2u6HJIMyEz+VSrxdnurxC+9e2OlBnX3wdTSKRwDvvvINgMLleg2VZnDhxAmazeRW9z30aDYMNkiBzoC+WtkG8f7HNgTJrMt+N44G/uDKIWIqrrmWCzWaTlQW/fPkyRkezswACyR0U1KjcXMUCZqWgpaEKGpCcrVm/SbyQ9vfG4PPSbA0hhCxHy90QptdSG4wMGpvnD1AmQnH8j2vDQru52ISPbShc0udcvXoVg4NiytqRI0dQVla2sk6vMc5qHSw28Zao41F6Uq4NWhb/1z7xO+mejOCfHo4t8A712rlzJ/Lykpu/chyHkydPKtwjstZRUKNy0pmaQCAAvz85KyNNQbs1EEAwlp5go0J6oqfZGkIIWZZxdxwDvWIJ5w1bjdDq5i4OwPM8/vvVIaF8s0HD4LUD5Uvaj8blcuH69evi52zYgM2bN6+y92sHwzBobBZTrl3dUYRD6VnIv6XUgufXFQjtH993o2cy+9atarVaHDx4UGi3traiu7tbuQ6RNY+CGpWzWCywWq1Ce3pdzeZSM2z65NcX43hc70/PLsUsy6BJMlsz0BuTVe8hhBAyN57n8eBWSGjn2zWorJ2/hPMHnR582C+mE39uZwnKbQuXfAaAcDiMd999V2gXFBTgyJEja36DzeWqqJFvPt3Vmr5A4zd2OFBsTq5JiXPJNLQEl31paA0NDaioqBDaly5dAs9n3/8HyQ0U1GSBmZtwAoCWZbA3A1XQAMBZpYM1T/xVodkaQghZXH9PDJPjSyvhPOyP4n9fHxHaO8rlo/nzmd6PJhBIDmyxLIvnn38eev3iwRCR02gY1K8XZ2u6OyKIRdNzg27WafCv9ohpaG1jYbz5aDwtn5VODMPg8OHDQtvtdtNsDVEMBTVZYK51NQCwXxLU3BjwIxxPz1Q5wzJo2izO1gy6YvBMxNPyWYQQkgvicR4td8VZmvJKHYpK5i7hzPE8vn15UDiHW/Us/vW+siXNtDx48AAdHR1Ce//+/bKBMLI8NQ0G6KbSA+MxoKcjfbM1uyqsOFqXJ7R/dNeNAW80bZ+XLg6HQ1bi+dq1azRbQxRBQU0WmFkBbfpksa3MDIsu+RVGEzxuDKSnChqQvCDb8sVfl8c0W0MIIfPqfBxBODRVwpkFNmybvzjAm4/G8WBEDIB+e3cZisy6RT9jfHwc586dE9pVVVXYuXPnKnpNtDoGtevEWa7O1ggSaaxO9oVdpSiY2lA7muDxF1cGwWVhQCDdkHN4eBgul0vB3pC1ioKaLCCdqQmHw/D5kqlmOg2L3ZXiept0pqAxjHy2Zrg/TmtrCCFkDqEgh/YWceCnbr0BFqtmztf2TEbwd7fFTRgP1thwuDZvztdKxeNxnDx5EvF4ctbcaDTi2WefpXU0KVC3zgB26uuKhHm4utM3e2IzaPA7u8U0tIejIZxsm0zb56VLVVUVGhoahPaHH36oYG/IWkVBTRYwGo1C2URAnoImrYJ2vd+PSJpS0ACgrEKHvALxV6arLfuqtRBCSLo9uhdCYmrMR29gZDvWS8USPL51aQDxqQXidpMWv717aSWYL126BLdbDIaOHz8Oi8Wyuo4TAIDByKK6Tpyt6XgUAZ/GRfz7q22ya/n3b41ixB9b4B3qJJ2tcblcsvLihGQCBTVZQrrXgPREsaPcAqM2+TWG4zxuDaanChqQnK2pWycuouzviSIaTV8QRQgh2WZyPA5Xt3hD2rTZCJ1+7tmT1++70TkhDg79671lyDPMPaMj1d3djdu3bwvtrVu3or6+fuWdJrPUNxmAqa8t4Ocw2J/eIOO3nygVKpqG4xz++7WhrFuXUltbC6fTKbRptoZkGgU1WaK8vFx4LA1q9BoWeyoyk4IGABXVeuECnUgAfZ3Zt6iREELSYWYJZ1s+i+r6uauQPXaH8MYDcdPF5xoLsEtyLp9PMBjEe++9J7SLiopke4WQ1LBYNaioEtc1tbdE0hpkFJi0+OITYqr57cEATnd50/Z56cAwDJ544gmh3d3dLVRsJSQTKKjJEtKgZnR0VMijBuQpaNdcfsQS6Zs90WgZ1DSIF+mu9mhap+UJISRbDLpiGHfLSzizc2ycGYlz+NalAUyfOsusOnxu5+IVy3iex3vvvYdQKBk4aTQaPP/889Bq566qRlanQbIZp2ciAfdweqt+HqnNwxNOMYXwb2+NpG1j7XSpqamRFTei2RqSSRTUZIni4mLhwsVxnGz0Y6fTAoMmeeEMxTncHgymtS81DQZMr0UNBTgMD1J5Z0LI2pZI8Gi5IxYHKHVq4Sibu4LZ390exYAvmc7EAHhtfzlMusUvx3fu3EFPT4/QPnjwIIqKilbXcTKvfLsWjjIxYGx/lN51pAzD4Hf2lEE/dT2fCCfwkwfZtXcNwzDYvXu30O7o6MDY2NgC7yAkdSioyRIsy867rsagZfGENAWtL70paGYLi7IK8WJNBQMIIWtdV2sEwUBylpxhgI3bTHO+rm0shLdaJ4T2xzYWYkOJedHjj46O4sKFC0K7trYWW7duXWWvyWIaN4izNe7hOCbH0zuI57Do8NENhUL7Zy3jWVc0oL6+HoWF4v/D9evXFewNWUsoqMki862rAeQpaFddPsTSWFcfAGrXyU/0Pk92TZETQkiqRCMc2iQlnGsb9bDmzV7wn+B4/M9rw0LamdOmx2e2Fi96/FgshpMnT4LjkkGT2WzG8ePHqXxzBhQ5tCgoFL/L9pb0D+J9fGMR7KbkDFGM4/G3t7NrXcrM2ZrW1lZMTk4q1yGyZlBQk0VmztRIFy3uclqFKetAlMO94fRVQQOAIocGeflU3pkQQjpbI4hPDabrdAzWb5q7hPPJtkl0jIvBz7/cUwqdZvHL8Pnz5zExIc7uPPvsszCbF5/dIavHMIxstmbQFYPfl95BPJOOxavbxGD3fI8PLaPpTStPtXXr1iE/Px9Aci3YjRs3FO4RWQsoqMki0qAmFArB4/EIbZOOxU7JAsN0V0FjGEY2W+PqiSIWpYIBhJC1JRLh0NkqDurUNxugN8y+tI4FY/i726NC+6naPGwtW3xfmc7OTty/f19o79y5E9XV1avsNVmOsgodLDbxO+1I89oaADhan4+GQvEa+39ujIDLohLPLMvKKqG1tLQIG4cTki4U1GQRk8kEu90utGeloFWJKWhXXH4k0lyVrKJGUt45DvR10WwNIWRt6XwcQWJqmYVOL9/LS+p7N0cQmtoc2aJnl1TtLBQK4dSpU0Lb4XBg//79q+80WRaGYdAoqYTm6o4iHErvHm0sw+ALO8USz21jYZzrzq4Sz83NzbDZkvclHMfh5s2bCveI5DoKarLMQutqdldaoZ0qH+qLJHB/JL3T1VotI9uDoas9mnWbhRFCyEpFwpws9bah2QCdbvY6l5sDflzoEUepP7vdgQLT4mWYz549i2AweR7XaDR47rnnoNEsvjknSb2KGj2MpuR3y3HJwhDptqnUjP2Swcq/vT2KSDx7NrzWaDTYuXOn0L5//77w+0xIOlBQk2WkQc3Q0JDsZ2adBjvKxTzrdKegAUBto7jrctDPYYTKOxNC1ogOySyN3sCgrnH2LE0kzuF/fTgstJuKjXi2sWDRY7e3t6O1tVVo79+/X1ZRimSWRsOgfr34/XZ3RDKScv2bOxzCYOVYMI6ftmRXiedNmzYJ678SiQRu3bqlcI9ILqOgJstIgxq3241IRD5adKA6T3h8uc+X9hQ0s4VFmZPKOxNC1pZImEP3jFka7RyzNG88GMPQVElelgH+5Z4ysItULQsGgzh9+rTQLi8vx/bt21PTcbJiNQ3iTFw8BvR0pP96V2bT46VmMe38Jw/GMBbMnhLPWq1WNltz9+5dYfNYQlKNgposY7fbYTCIo0XDw8Oyn++psGKqCBo84QRaRtN/8qhbJ6agjQ7F4fdSeWdCSG5rb4kgMXWq0xuY5Kz1DC5PBD95KG48+FJzIersc1dGkzpz5oxw46fVavHMM8+AZelyrTStjkGt5HrX2RpBIs3bJwDApzYXId+QTDuMJHj84M7oIu9Ql82bN8NoTP7ex2Ix3LlzR+EekVxFZ8kswzDMgutqrAYNtpVJq6Clf2FhUYkWNirvTAhZI8IhDt2SUfrGZgO0WvnsC8/z+KsPhzG9BKLIrMWvbll8T5rW1la0t7cL7QMHDqCgoCAl/SarV7fOAHZqWVMkzMPVHU37Z5p1GnxGUuL5VKcXbWPZM9uh1+tlM4137tyZlWVCSCpQUJOFFgpqAPlGnJf6/GkvA8kw8lHKvu4oYjEqGEAIyU3tLWFwU7M0BiODmjlmac52e3FvWFwU/VtPlMKkW/iSGwwGcebMGaHtdDqxbdu2lPSZpIbByKK6TpytaX8UAZ/mNG8AeKahADUF4u/Z926MZFVhnm3btkGvT/67RSIR3Lt3T+EekVxEQU0Wku5XMzQ0JOwyPW1vlQ1T6woxEYpnJAWtslYv5Bonyzunf/SKEEIyLRzi0NMhnt/mmqXxRxL43g1xF/jdFVbsrbQueFye53H69GmEw8nNOXU6HZ555hkwi6y/IZlX3zSjQM5Q+gvkaFgGn5eUAX84GsKlvuzZ98VgMGDr1q1C+9atW4jFsmdtEMkOFNRkodLSUuFCF41GMT4ur4aSZ9DINnW72JP+FDStlkGVpLxzd1skq0aRCCFkKdpbwpgeRzIYGdQ0zJ6l+dvbo/BEklM5Bg2D33qidNHgpLW1FR0dHUL7wIEDwo7sRF0sVo2sQE4mCgYAwPZyC3ZXiNf2v7k5imgie0o8b9++HVptspR5KBTCgwcPFO4RyTUU1GQhvV6P4mIxv3auFLSDGU5BA4DaRjGoCfg5jGZg9IoQQjIlFJTP0qzbYIRmxizNo9EQ3m2fFNq/uqUYJVYdFhIIBGRpZ5WVlbJRbaI+NZLr3fBAHMFAZoKL39xZIhQDGgnE8PNHExn53FQwm83YvHmz0L5x4wYSCSosRFKHgpostdi6GiVS0CxWDUqd4oZyVDCAEJJLpLM0RhOD6ga97OcJjsf/vCbuH1adr8dLGxbeW4bneZw6dUpYOK3T6XD8+HFKO1M5R6kWZqt4C5Wp2ZrKPANOrBdLPP/4/hgmQ9kzgLhz506hkl8gEEBXV5fCPSK5hIKaLLVYUDMrBS0DG3ECycow00YG4/D7aBSGEJL9ggEOPZ0zZmk08sDjF48n0D0p3tz+yz1lwsaJ83n06JHsxu7gwYPIy8tb4B1EDRiGQa0kqO3tjILLQHlnAPj0lmJY9cnbt1Ccww/vZk+JZ6vVisbGRqFNBQNIKlFQk6WkQY3H40EwGJz1mielKWi9voykoBWXamHNE3+tumm2hhCSA9pbwuCnZ2nM8jWEADAaiOFHkpvL4w352FhiXvCYfr8f586dE9pVVVWy9ByiblV1ekxvHxSN8Bjsz8zCd5tBg1/bKqagv9/hQfdEOCOfnQpbtmwRHvf19WFiIntS6Ii6UVCTpWw2GywWcSZmrtmafZXWjKegMQwjm63p644iTuWdCSFZLBhIoHeRWZrv3hhGOJ4819kMGvzGjhIshNLOsp/ewMJZJSkY0J65Qbzn19lRmZcMrDke+OubI4u8Qz2cTicKC8W0TJqtIalCQU2WYhhmVmnnmfKMWkVS0Cpr9NBOnefjsWRgQwgh2artYQTTE90mMyPbpwQAbg8GcKXPL7Q/t8OBvKkd4OfT0tKC7u5uoX348GHYbLb530BUSbpH0dhoAj5PZlKutSyDz0lKPN8eCuLB8OyMDTViGEY2W9PS0oJ4PHvWBRH1oqAmiy22rgZQJgVNq2NQVSee6Km8MyEkWwX8Cdm+W+s2GsFKZmkSHI/vSUbJNzhMOFa/cClmn88nSzurqanBxo0bU9hrkin2Ig3yCjJfMAAAdjkt2OgwCe0f3XNn7LNXq7m5GTpdcvQzEomgtbVV4R6RXEBBTRaTBjXDw8NzlkZUIgUNAOok5S79Pg7uYRqFIYRkH+ksjdnComrGLM37HR70SIoDfGFXyYIpZNObbEajyUBJr9fj2LFjlHaWpRhGvldRX3cU8XhmBvEYhpGtrbk/HMS94UBGPnu1DAYDmpqahDaloJFUoKAmizkcDmg0yRSHRCKB0dHZFVDyjFpsLRUXq2YqBc1i06CkXCzvLM1HJ4SQbBDwJeDqls7SGMBKqpkFogn88I543j1Wn4d1RSYspLW1ldLOckxljR5Te0oiHgP6ezJ3vdtaZsFmyTX+7++6syYzQpqCNjw8jJGR7FkXRNSJgposptVqUVIi5tTOm4JWI5YHzVQKGgDZ6NVQfwzRSPbsfEwIIa0Pw+IsjZVFZa18lubH98fgiSRnyA0aBv9im2PB44XDYVnaWXV1NTZs2JDaTpOM0+oY2e9GT0c0o4HFZ7aIszUPRkK4myVraxwOh2xt8N27dxXsDckFFNRkuaWsq1EqBa2kXAu9IfnBHAf092am3CUhhKyW35eAq0c8Z63faJTN0gz6ovj543Gh/YlNRSgy67CQCxcuIBRKnn+1Wi2OHj1KaWc5QjqI55lIYHI8c3u0bSo1Y2tZ9s/WtLa2CtUACVkJCmqy3MygZq4TmVIpaCwrH72SLrYlhBA163gUAaZOpxYri4oaecDy/VsjiE9NPhebtfjohkIspK+vDw8fPhTa+/btQ37+wgUFSPbIK9CgsFiseNfTntnrnXS2pmU0hNtD2TFbs27dOhiNRgBAPB5HS0uLwj0i2YyCmiwnDWoCgQB8vrkDFmkK2uUMpqBJS596JhLwTmZu9IoQQlYiHOJka2kaN8jX0twbDuCypITzb+wogUE7/+U0Ho/j1KlTQtvhcGD79u2p7TRRnLS8c39fNKMp1xtKzNheLm7h8Pd3R7Nitkar1coq/927dy8r+k3UiYKaLGc2m2WjfUtJQRsPxfEoQylotnwNCgrF0atemq0hhKhcV2sE3NT9qNHEoKJGHJxJcDz+zw1xQXNTsRGHahZe6H/16lV4PB4AyYpVTz/9NFiWLr+5prxSJ6ZcJzK/R9tnJJXQHrvDuDmQHZXQNm/eLDyemJiAy+VSsDckm9FZNQcsZV3NzBS0CxlKQQMgK4Ha3xMFl6BRGEKIOsWiPLole43UrzdAI9mX5lSnB10T0hLOpQuuixkdHcXNmzeF9o4dO2QFXkju0GjkG7NmumBAU7EJu5yS2Zp72bG2pqCgANXV1UKbyjuTlaKgJgcsJagBlEtBq6jWgZ2arIlGeAwPUsEAQog69XREEJ86RWl1QLVkAXgwlsAPJCWcj9Tmoal4/hLOHMfh1KlTwo1lXl4e9u7dm56OE1WoaRCDmoCPg3sks3u0/apkbU3bWBg3smS2RlowoLOzE4FAdvSbqAsFNTlAGtS43W7EYnMHDUqloOn0LMorxEW2VDCAEKJGiQSPzlZxFqa20QCdTpyF+acH45gMJ9cF6jUMXt2+cAnnu3fvYnh4WGgfO3ZM2EWd5CazVb5HW6YLBqwvNuEJyWzNj7KkElpdXR2sViuA5GDAgwcPFO4RyUYU1OSAwsJC4ULJ87zsIiqlVBU0QJ6CNjIYRzhEe9YQQtTF1R1FJJy8AWTZZOrZtGF/FP/cIpZw/tjGQjgs8wcoXq8Xly9fFtrNzc2yFBuSu2bu0Zbp692vbRWD7Y7xMK71+xd4tTqwLCtbW3P//n1wHN0nkOWhoCYHsCwr28BqqSlomdyIs7hEC5M5OeLJ84ArgzsuE0LIYniOR8djcZamqk4Pg1G8RH7/1ihiXPJ8WWjS4uMbi+Y/Fs/jzJkzwqy50WjEwYMH09Rzojal5fLrXW9nZq93jUVG7Km0Cu1s2bdm06ZNQgENv9+Prq4uhXtEsg0FNTliqetqlEpBY2buWdOZ2QWUhBCykKGBGAK+qZFhBmhoEkfbH44EZTPbn93ugHGBEs5tbW3o7u4W2ocOHYLZbJ739SS3MCwjW4vV0xEBx2X2evdrkrU1XRMRXHGpf7bGYrGgvr5eaFPBALJcFNTkCGlQMzQ0NG/AkGfUYosKUtD8Pg6TY7RnDSFEeTzPo71FnKUpr9TBYktWN+F4Ht+VlHBuLDTiSF3erGNMC4fDOHv2rNCuqqpCc3NzGnpN1Ky6To/ponjhEI/hgcwWyKkvNGJflThb8w933RnLzFgNacGA3t5eTE5OKtcZknUoqMkR0vSzcDiMiYmJeV97UKEUNItVg6IScQEl7VlDCFGDsdE4JsfFQZbGZnGU/UyXFx3jYaH9xV0lYBco4XzhwgWEQskZcK1Wi2PHji1Y8pnkJqOJRXmluOaqpyPz1zvpbE33ZASX+zI3iLlSlZWVsNvtQvv+/fsK9oZkGwpqcoTBYEBRkZjjrcYUNACokqSgDfRFEY+rf+SIEJLbpLM0xaVaFBQmB19CMQ5/d1ss4XywxoYNJfOnkfX19eHhw4dCe9++fbLNkcnaUtMoXu9Gh+II+DKbnVBrN+JAtbgxbDbM1jAMI5utefjwIeLxzJbFJtmLgpocstR1NUqmoJVX6aCdmqyJx4AhF+1ZQwhRjmcigdEh8aZJOkvzk4djGA8lf6ZjGfzG9vk3zYzH4zh16pTQdjgc2L59e+o7TLJGkUMLa554m6XEbM2vbinG9DxhryeKiz3qn63ZsGEDtFM3CuFwGG1tbQr3iGQLCmpyyFKDGgB4slqZFDStloGzSlIwgFLQCCEK6ngkppblFWhQXJq8mRoNxPAzSQnnlzcUosQ6fwnna9euwePxAEiONj/99NNCJSeyNjEMg1pJwYDerigSiczOlNQUGPBkjWS25p4biQwXLVgug8GA9evXC20qGECWis64OUQa1ExMTCAcDs/72n1VCqag1YtBjXskjmCACgYQQjIvGEhgoE+cLW7cYBDWv/z9XTeiUzegdqMGn9hUOO9xxsbGcPPmTaG9fft2lJTMP6tD1o7KWj00yZoTiEV5DPZlPjvh05LZGpc3mtHsjJXaunWr8HhoaAijo6MLvJqQJApqckh+fj6MRqPQHhoamv+1Cqag2Ys0sNjEX72+LkpBI4RkXsejCKYnqc0WcWF3ryeC010e4XWf2eaAWaeZ8xg8z+P06dPCRoE2mw379u1Lb8dJ1tDpGTirJdkJ3ZnPTqjON+BQrZidkQ2zNSUlJSgtLRXaNFtDloKCmhzCMExWpKAxDCMr79zXFaE9awghGRUJc7IKjA3NBrBT09c/uD2K6Xu+ijw9nq6ff7H/o0ePMDAwILSfeuop6HTzp6mRtUd6vXMPxxEKchnvw6e3FAnZGf3eKK641D9bIy0Y8PjxY0QikQVeTQgFNTlnOUHNzBS0x5mugjb12aEgj7ERqm5CCMmc7vYIuKnMV72BESoztowGcVWyUeG/2FYMDTt3SeZwOIwLFy4I7fr6etTV1aWv0yQrFRZrYLaIt1suBWZrKvMMOCgZyPzpw3HVDyauX78eBkNyTVIsFkN7e7vCPSJqR0FNjpm5Ced0SsRcZqagXchgCprRxKKkjPasIYRkXjzOo6tNPOfUrTdAo2XA8zz+9paYu7+uyIj9Vba5DgEAuHz5smxPmsOHD6ev0yRrzcpO6I4qElB8bKO4LqxtLIwHI5kbyFwJrVaLpqYmof348WMFe0OyAQU1Oaa0tFSouBOPx+F2uxd8vVIpaIB8Sn7QFUMsqu5RI0JIbujtjArnG40WqJ3aT+R6fwAPJTPWv7HDMe/GmcPDw7I8/z179iAvL2/O1xJSWSumJAZ8HCbHMl8gp77QiG1l4kDmTx6OZbwPyyUNalwuF/x+/wKvJmsdBTU5RqvVwuFwCO3lpqC1ZHDkptSpg06f/HAukdyMkxBC0onjeHQ+FitD1tQboNezSHC8bKPNneUWbCm1zHMMDqdPnxbadrsdO3bsSF+nSdYzWzQoKhGzE5QoGAAAH98obtJ9YyCAnkl1r1MpKyuTDRa0trYq2BuidhTU5CBpCpp0Aetc8o1abC0TL9zne7xp69dMGg2Dyhpx9Ir2rCGEpFt/bwyhYHKWhmGB+qZkzv7Zbi96POIN3qvbHXO+HwDu37+PkZERoX306FFoNHNXRyNk2vS6LQDo740iEc98dsK2MjPq7OLeOT9rUfdsDcMwstmaR48eKdgbonYU1OQgp9MpPO7v7180d/eQZGOuS32+jJZ6lKagTYwl4PPSnjWEkPTgeV622WZltR4mM4tYgsPf3xVnaQ7X5qG+0DjXIRAMBnHp0iWh3dTUhMrKyvR1muSM8kodNFOTNfEYMDSQ+e0MGIbBxzaIa2vOdnnhDqp7WwVpUON2uzE2pu5AjCiHgpocVFFRITwOBoOYmJhY8PX7Km3QTv0meMIJ3BsOprN7Mvl2LfIKxBFOmq0hhKTLyGAcPo9YPKVhQ3LE+p22SYwEkhUYtSzw61uL5z3GhQsXEI0mz1N6vR4HDx5MY49JLtHqGGEvJEC5692TNXlwmJPRVYIHfv5o4XsEpRUWFsrS6qlgAJkPBTU5yGQyobhYvCi7XK4FX281aLCjXExBu5DBFDQAqJbM1ri6o+BUvikYISQ7dT4W08tKnVrY8jQIRBN4/b448vtcYwHKbPq53g6XyyVLf9m/fz8slrnX3RAyF2l2wuhwHOFQ5ves0bIMXpbM1rzbNgl/VN1ZEtLZmtbWVtWXoybKoKAmR0lna/r7+xd9/cEacSHe5T4fYonMnTAqanSYKtiGSJjH6BDtWUMISS3PRAJuyX5YDc3J9LKftYzDF0ne0Bm1LF7ZMvcsTSKRkBUHcDgcss0BCVmKIocWJvNUdR5emT1rAOB4QwGs+uSFNxTn8G7bpCL9WKr169cLj71e76JFkMjaREFNjpLmeLtcrkVHNfZUWqHXJE+0/iiHO0OBtPZPSm9gUepUfkqeEJK7utrEWZp8uwaFxRpMhOL455Zx4fmPbrCjwKid6+24deuWLJX32LFjQvl8QpZKLXvWmHQsPrLOLrR//ngCsUTmZ42Wymq1oqqqSmhTChqZC52Rc5R0piYUCmF8fHyBVwNmnQa7nMqloElP8sMDtGcNISR1ImEO/T3iYEn9egMYhsE/3nMjMjUrnW/QyFJypLxeL65duya0t2zZgtLS0vR2muSsSkkVNL+Xg2dcmdSvF5vs0E3t6TARiuNsd2av+8slTUFra2tDIqHulDmSeRTU5Cij0ShbV7OUFLRDkhS0K31+RDM4auMo00JvmNqzhgMGXTRbQwhJje72KLip05nByMBZpcOgL4pftk8Kr/nU5iKYdXOXZT537hzi8WTqmslkwv79+9PdZZLDLFYNCh2SAjkKpaAVmLQ4Vp8vtH/6cDyjG3AvV0NDg1A6PRwOo7e3V+EeEbWhoCaHzUxBW8wTFVYYtcnAIhTncHMgcyloLJu80ZjW36vuEpOEkOyQSPDobhdTz2rXGcBqGPzwziimlw6WWHR4fl3BnO/v6upCZ2en0D548CCMxrnLPROyVPI9a2JIZHAdq9TLGwoxtcIHLm8U1/v9ivRjKQwGA+rq6oQ2paCRmSioyWHSFLSlrKsxaFnsrrAK7UynoFVUiyd594gyVWEIIblloDeGaCR57mM1QE2DHu1jYZzv8Qmv+fVtxdBpZl8OY7EYzp49K7SdTieam5vT32mS88qr9GCnJmtiUR7DCuxZAwAVeXrsrRKv+z99uHCqutKkKWidnZ1CeXVCAGDuFZHLEIlEcOfOHdy4cQMdHR0YHR0Fx3EoKyvD3r178eKLLy57VCsQCODHP/4xrl27hsnJSRQUFGD37t145ZVXqHzmMkiDmnA4jPHxcRQVFS34nkM1ecLF/prLj3Ccg1GbmdjXXqyBycwkd/vmgYHeKOqbaESUELIyPM+js1Wcpams0cNgYPF3F0aE5+rsBhyuzZvr7bh+/Tq83uTgDsuyOHr0KBiGmfO1hCyHbmrPmv6eZDDj6o7CWTV3KfF0+/jGIlzpS87QPBwN4dFoCM0OkyJ9WUxNTQ0MBgMikQji8Tg6OjqwYcMGpbtFVGLVd6sXLlzAf/2v/xWnT58Gz/PYtm0bmpubMTIygtdffx1f/epX4fF4lnw8n8+H3//938fbb78NjUaD3bt3w2Qy4Z133sFXv/pV+Hy+xQ9CACTX1Ug3rFpKCtpOpwVmXfLXIpLgMzoVzTAMKmrkU/KEELJSY6NxeCfFxcT16w24MxTA7SFxg+FXtznAzhGoTExM4MaNG0J7+/btiw4KEbIc0hS0kUHlshOaik3YKAliftoytsCrlaXVatHY2Ci0KQWNSK06qNFqtXj22Wfx7W9/G9/4xjfw5S9/GX/wB3+Ab33rW6irq0N/fz/+5m/+ZsnH+/73v4/BwUHs2bMH3/rWt/C7v/u7+MY3voHnn38eQ0ND+P73v7/aLq8pM1PQFqPTsNgnmYo+r2AK2uR4An4fVTchhKyMdJamuFQLax6Lv701Kjy3ucSEnc7Zs/88z+Ps2bPgpqoLWK1W7NmzJ/0dJmtKcYkWxqk9a3gesgp9mfaxjWLlv6t9fvR71ZvWJU0B7evrQzAYXODVZC1ZdVBz5MgRfPGLX0R5ebnsebvdji984QsAgGvXrgmVYxYyOTmJ8+fPQ6PR4Itf/KJQ5QIAXn31VeTl5eHChQuYnJxcbbfXDGmxgP7+/iXVwz9YLaZi3OgPIBjLXGCRV6CBLV/8tZyemieEkOUI+BMY7hevO/XrDbjU60P7eFh47rM7SuZMJ+vs7JRVVjp06BD0emVSg0juYlgGlTXK71kDJAsFVeYl+8IDsv2b1MbpdMJqTQ6+8jyP1tZWhXtE1CKtiyVqamoAJBdbLiVt7NatW+B5Hhs3bkRBQYHsZzqdDrt27QLHcbh9+3YaepubZq6rGRtbfFp5W7kFtqmdhmMcj2uuzFZDkaegKXeSJ4Rkry7JLI3FxqKoVIMf3XULz+2rsqKpePa6gXg8jvPnzwvtqqoqWboLIakk3aPN5+HgmVAmO4FlGNlszalODyZDiw9GK4FhGFnBAEpBI9PSGtQMDw8DADQajRBVL6SnpwcAZCX7pKaf7+7uTk0H1wCDwSBbV7OU/Wq0LIP91TahfT7DG3JJU9ACPuVO8oSQ7BSL8ujtkm+2eb7HB9dUSg0D4Ne3OeZ8740bN2TFAQ4fPkzFAUjaWG0a2IvErBSXQnvWAMCR2jzYTcn6UTGOxy8eTyjWl8VIg5rh4WHK4CEA0hzUvP322wCSCyx1Ot0irwbc7uQoWmHh3Ls6Ty/SnH4dWZrl7lcDAAclG3HeHgrAF8lcYGG2sCgsFk/ylIJGCFmO3q4IElODzDodg7JqHf7hnnjdOFKbh+p8w6z3eb1eXL9+XWhv27aNigOQtJPO1rh6YuAU2rNGp2HxK012of1O2wRCMXVurVBcXCz723z06JGCvSFqseqSzvO5efMmTp8+DY1Gg09/+tNLek84nMx1NhhmX2ykz0cikTl/Ppcvf/nLs57T6/X4+te/DiD5h6EkrTb5FUhnU1Jt06ZNuHXrFgBgYGAARUVFYNmF49mjRcUovDyE8WAMcQ54MAn8yub09XGmpk06XD6bXNA76Irj8PFisKz6Rksz8f2R9KLvMPtJv0OO43G6o1v4WfOWAtyaiGPInxwc0TDAv3pqPRwFs1PP3n//fSQSyQEcq9WKEydO0EabGbDW/wbz8hJ4cKsLiQSPWJRHKGBGbcPi2S3p8Ov77Hjj4TiC0QT8UQ6Xh+P49I6KRd+nxHe4c+dOvPfeewCA9vZ2vPjiizSrugq58HeYlpkal8uFv/iLvwDP83j11VdRW1u7pPdNr52gX8rUqqmpEf5NQ6EQRkZGFnkHoGEZHF0nBnzvt44u8OrUq2u0gZn67QwFExgaCGX08wkh2am3KwC/LzlNwzBA48Y8/PVVcdH/RzaWonKOgKa9vR0PHz4U2s8++ywFNCQjDAYNquvFKnztjzKb8i1lM2rx8uYyof0PN/sRT6hztmbr1q3C4/Hx8SWl15PclvKZmrGxMfzn//yfEQgE8OKLL+LEiRNLfq/JlLzQTM/YzDQ9QzPfTM5cvvnNby74c7fbrehC9OmIeHQ0vUGDw+EQgpl79+7JKsvNZ1eJDv809fhG3yTa+gZRYEzb5N4sjlItRgaTNycP74xCZzBn7LOXKlPfH0kf+g6zn/Q7vH1dLEpTXqnDmw+6MexLXju0LPBSo2XWd51IJPDmm2+K7ysvR0VFBf1OZAj9DQIl5Ty62pKP+7oDcPUNw2DMzMbXMx2vMeL1W0CCB4Z9Efzzza55N6idptR36HQ6MTAwAAC4cuUKjhw5ktHPzyVq+DtkGGZWNeXlSOlfjNfrxR//8R/D7Xbjqaeewquvvrqs90+ngo2Pz11KcLpyl9IpY9loJetqNjhMKJpaNMjxwOXezG58Kq2CNuCKIqFQnjEhJDtMjscxPiqu/6ts0OH1+2LFx2caClBqnV2a+c6dO5iYEBdFHzlyhDIGSEY5SrUwmiR71ii4+XSxWScLYtRcMEC6Z01ra6uwtxRZm1IW1IRCIXzta19Df38/9uzZg9/5nd9Z9kVhugR0V1fXnD+ffn76dWTpVrJfDcsweLJGrIJ2IcMbcZY5dZieUIrHgJFBKhhACJmftIxzQaEGV8b9mJgqS6tjGXxq8+xF/4FAAFevXhXaW7ZsQUlJSfo7S4jErD1rupTd/PLFJrFg02N3CO1jc2fQKK2xsVFYIxwKhdDX16dwj4iSUhLUxGIx/Nmf/Rk6Ojqwbds2vPbaa4suRJ/L9u3bwTAMWlpa4PF4Zn3GjRs3wDAMduzYkYpurynl5eVCkBmJRJZcQU5aBe3BSAhjwcwFFlodg7IKsWoeVUEjhMwnGIijv088R1Q26vFPD8RZmufXF6DIPLsK58WLFxGLJd9nNBqxb9++9HeWkDlUSqqgeScTim5n0FhklO3j9FarOmdrjEajbN027Vmztq06qOE4Dt/+9rfx4MEDbNiwAV/5yleECgrzOXnyJF577TX86Ec/kj1vt9vx5JNPIh6P47vf/a5QhQYAfvCDH8Dr9eLgwYOzNuYkizMYDLLRx6WmoK0vMqLEkrwR4AFcUjAFbXgghliUUtAIIbO13POAn8o8MZoY3Aj44ZkqRW/QMPjkxtmzNAMDA7JSsPv37xfWdhKSabY8DQoK1bFnDQC8sL5AeHy+2wtPWJ2bcUr3rOno6BAGKcjas+pV3ydPnsS1a9cAADabDd/97nfnfN2rr76KvLzkqL/X68XAwIAsh3nab/7mb6KtrQ1Xr17Fa6+9hoaGBvT19aGvrw+lpaX4jd/4jdV2ec2qrKwUNkR1uVxLmvFiGAYHa2z4ycPkOqfzPT78SvPc+wilg6NMC52eQSzKg+OAof4oquqWXiiCEJL74nEOj++Ls/sV9Tr8Tcuw0H6hyY4Ck/xyx3Eczpw5I7QdDgc2bdqU9r4SspCqWj0mx5PVPgf6oti4zQhGoe0MDlTn4Xs3RzAZTiDG8Xivw4NPblLfvk11dXXQ6XSIxWKIxWLo6urC+vXrle4WUcCqZ2r8fr/w+Nq1azh79uyc/81X0WymvLw8fO1rX8Pzzz+PeDyOa9euIRgM4vnnn8fXvvY1ITAiy1dRIdaaHxgYWPKCukOSFLTH7hBG/JkbBWFZBs4qMWXERSlohJAZOlt9CIeTszIaDXA3FoQ/mjy/mbQsPjbHLM39+/dlabhHjhxZUdo0IalUXqXD9HLkcIjH2KhysyM6DYPn1hUI7XdaJ5Dg1JctodVq0djYKLRpI861a9UzNa+88gpeeeWVlL7HarXi85//PD7/+c+vtntEwul0gmEY8DwvrKtZyoLYOrsBTpseA77kVPiFXi8+PsdNQrpU1OjR05H8bPdIHOEQB6OJbj4IIcn9ze7fnhTapdU6/F2buBfXSxvsyDPIS9iHQiFcvnxZaDc3N8PpdKa9r4QsxmBk4SgTtzPo742huHT2WrBMea6xAG/cH0OCB9zBOK71+7G/yrb4GzOsqakJLS0tAIDe3l6EQiFKJV2D6M5wDdHr9StaVzOdgjbtQk9m19UUFmtgMk8NXfHAQB/N1hBCktzDcUyOi2sPHvFBBGPJWRqLnsVLc6TLXr58Wdj3TKfT4cknn8xMZwlZAme1uJZ00BUDp+B2BkVmHfZXi9f/t1Ra3rmyshIWS3IDU47j0NbWpnCPiBIoqFljZpZ2XqpDkpr1HeNhDPoyt4CRYRhUSE7y/T3KLp4khKhHp6SMs71Egze7xX3OPrahEFa9fJZmZGQE9+/fF9p79+4VboYIUYPyCh3YqV/bWJTHyJCyC/RfXG8XHt8bDqJ3MrLAq5XBsizWrVsntDs6OhTsDVEKBTVrzMygZqnraqrzDajJFxfon8/wnjXSKmiT4wkEfMqVuiSEqEPAnxDSdACgSxtCOJ4c1c4zaGR7bQDJVDVpcQC73Y5t27ZlpK+ELJVWx6DUKaacDfQqO5DX7DChzi5e/99WaXln6bqa/v5+YTaWrB0U1Kwx5eXlwmLYaDS65P1qAMhT0Lozm4KWV6CBLV/8dVVyt2VCiDp0t4s3e5Y8Ld7sF2+2Pr6xECad/BL36NEjDA0NCe0jR45Ao5HP5BCiBhXVYlAz1B9DPK5cChrDMHixSZytOd3lQSCqvoHFsrIyYR0Nx3Ho7u5WtkMk4yioWWNWuq4GkG/E2eOJZHwKWpqC5uqJgufVV4WFEJIZ8TiPvk4xqBk1xxGdWntgN2pwQpIyAyQHcS5evCi0GxoaUF1dnZnOErJMJeU6aKfimkQCGO5XdiDvUE0ebPrkLWM4zuNUp2eRd2Qey7Koq6sT2pSCtvZQULMGSVPQlhPUOPP0aCg0Cu2z3RlOQZOMXAV8nKK7LRNClNXfE0UslgxiNFoGPx0QK559cnMRDFr55e3DDz9EMBhMvl6jwaFDhzLXWUKWSaNhUF4pWUuqcAqaQcvimcYCof1W6wQ4FQ4sNjQ0CI97enoQj6tzw1CSHhTUrEEr3a8GAI5ICgac6/ZmdLbEbNXAXiSmilAKGiFrE8/z6G4TZ4p9Vh6hqfNYsVmL5yQ3XwAwOTmJW7duCe1du3bRnmdE9aQDeSNDcUQjS79Wp8Pz6wowvQ/ooC+G24MBRfszl6qqKuh0yX+3WCy2rIFbkv0oqFmDnE6nbF3N6Ojokt97sMaG6b2NRwIxPHYvbVPVVKmUFAwY6I2CV+FGYISQ9Bp3J+D1iDd4J8fEc9grm4uh08gvbefPnxcGb6xWK3bt2pWZjhKyCkUlWhiMySsuzyXLOyup1KrH7gqr0P6FCss7a7VaWVoppaCtLRTUrEE6nQ6lpaVCezkjGUVmHbaUmoX22e7M5tWqabdlQogypLM0QUMC43wyFbXUqsPTDfmy1/b09KCrq0toHzx4UBjJJUTNWJaBs0r8XVVDdoJ0rdrNgUBGt3dYqvr6euFxV1cXrb9dQyioWaNWul8NAByWpKBd7PEhnsHZkundlqep4SRPCMmcUJCTjVhfCopr+351SzG00/kxABKJBM6dOye0nU6nbC8LQtROuhHn2EgcoaCyKWjbysyozEv2iYc6yzvX1dWBmRr9DAaDsoqHJLdRULNGSdfVLGe/GgDYX20Tbhw8kQTuZDivVloFbbBP2d2WCSGZ1dsZwfTAa0zDoYdPztpUFZhka/4A4N69e5iYEG+6Dh8+LNzsEJIN7EUamCzirdpAn7IzIwzDyGZrPujwIBxXNtCayWg0yu5xOjs7FewNySQKatYo6X41sVgMIyMji7xDZNVr8ESFuAP3uQxXQSuT7rYc4zE6TClohKwFXIJHT4d4U3c7FsD0kMZv7q2CRjJLEwwGcfXqVaG9adMmWTl7QrIBwzCyggH9PcpnJxytz4NpqrpgIMbhTJf6yjtLq6B1dHRQCtoaQUHNGqXT6VBWVia0l5uCJh0RveLyIZLBkRqtjkFpuXp2WyaEZMagK4ZIOHlzwoHHIy5ZormqwIRnmuQBy9WrV4UdxfV6Pfbv35/ZzhKSItLsBM9EAn6fstsZmHUaHJOsXXv78aTqggbpuprJyUnZjC3JXRTUrGHS6dnllj3c5bTCrBM34rrq8qe0b4txzthtOUEpaITkvC5JgYB2LoTI1DzNb+6pkq2lGR0dxf3794X2nj17YDaLBU4IySZ5BRrY8iUpaCpYS3pifYHwuMcTwS2XumZrbDYbHA6H0KYqaGsDBTVrmLRYwMDAABKJpY/+GLQs9lXZhHamU9BKynXQTKWgxePAyKDyJ3lCSPpMjscxMSaeox5MzdKU23R4plmcpeF5HufOnRNGju12O7Zt25bZzhKSYtLZmv6eqOIzI5V5BmwvF9PQ37gzoGBv5iadraF1NWsDBTVrWFlZmWxdzXL2qwHkKWg3B/zwRjI3Ja7VMih1irM1g30U1BCSy7rbxTTTET6KMSTX0r2yWV7xrL29XZZOe+jQIWg04qa9hGQj6boav4+Dd1LZFDQAeFFSMOB8xxiGfZEFXp150nU1w8PD8Pszm1FCMo+CmjVs5rqa5aagbSk1w25M3iwkeOBSb2Zna2QpaAMxxOOUgkZILopGOPT3iEGNdJZGOrgSj8dx4cIFoV1bW4va2tqM9ZOQdDFbNbAXicG5GrYz2Om0oNSavA4neOCndwcV7pFcUVER8vLE84N0vyqSmyioWeOkKWjLDWo0LIODkhsKRVLQprasSVAKGiE5q7cziumq8yE+gS4+DCA5SyOteHbjxg34fD4AAMuyOHToUMb7Ski6yFLQepVPQdOwjGxtzZv3BxFNqKe8M8MwshQ0WleT+yioWeOkxQIGBgYQjy+vPLJ0lPTBSAijgcwFFhoNg7IKSRU0SkEjJOfwHI/udjGtpYUPgcPsWRqPx4MbN24I7e3bt8Nut4OQXOGs1gFTMXw4yGPcrXwK2tP1BdBrkp2aDMVxocencI/kpCloLpdLqIhIchMFNWtceXk5tNrkdEc8HsfAwPIW+zUWGlFuEwOL8xmerXFWiSNXw5SCRkjOGR6MIxScKuPMi2WcZ87SvPvuu8KgjMlkwu7duzPfWULSyGBkUVyiFdrSlEyl2Awa2eDCO63qKp1cXl4Oo9EIAOA4Dj09PQr3iKQTBTVrnFarlaWgLfcPnmEY2QntXE9mgxpHmRbaqZiKSyQDG0JI7pCWce7mwwiCQ5lVPkvT3d2Ne/fuCe0DBw7AYDBktJ+EZIK0YMCgKwaOU34g74SkYEDrWBjdE2EFeyPHsizq6uqENqWg5TYKaghqamqExysZxThcK27C1TURQe9k5qZ3KQWNkNzl8ybgHhZTYh9OzdJ8eos4S8NxHN5++23hNSUlJdi4cWNmO0pIhpRX6jBVtBTRCC/7+1BKfaERzaVWof3LDnXtWSNdV9Pd3b3sNHuSPSioIbKgZnx8XFhou1QVeXo0FhqF9tlMp6BJFk+ODMYQjyk/ckUIWb1uySzNOB/DEGKzZmkePnyIwUGx6tKRI0fAMAwIyUU6PYuScnEgTw0paADw8maxkuqZLg8icfUUDKiurhbS7GOxmKzkO8ktFNQQFBQUID9fnG1Z2WyNvApaJquyOEq00OmnRm0TwFA/zdYQku1iMR593bPLOEtnaSKRCC5fviy8pqmpCeXl5ZntKCEZVlEjSUHrjyGhgrWkx5scMOmSt5SBKIdLveopGKDT6VBdXS20aSPO3EVBDQGw+hS0gzW26aIsGAnE8MgdSlHPFsdqGJTLUtDUMXJFCFk5V3cUiakskQjPoYMPz5ql+fDDDxEKJc81Op0OBw4cUKKrhGRU6YztDIZVsJ2BRa/F8aYSof3L9knlOjMHaRW0zs5Oxcthk/SgoIYAkAc1fX19SCSWVyqyyKzDljKz0M70njXlksWTo0NxxKLqmfomhCwPz/Oy1LNWPoQ4eNkszeTkJG7fvi285tChQ7DZbJnuKiEZp9HKB/L6e5QPagB5CtrD0RBcHvWUT66trRXSUgOBAIaHhxXuEUkHCmoIgOQmnOzU6sNoNLqiP3jpCOrFHh/iGazKUlyihd4wvXAYGOqnhYCEZCv3SBx+X3Jggud5tHDBWbM058+fBze1I2d+fj4OHjyoSF8JUYKzRr6WVA0DeRtKraizi1UH1TRbYzKZ4HQ6hTZVQctNFNQQAMnUDelGnCtJQdtfZYNuahTVE0ngzmAgZf1bDMsyKK+kFDRCckF3m/j328dH4EUCr2wuEmZpent70dXVJbzmueeeg06nm3UcQnKVo1Q+kDfoUn62hmEYPNNQILRPdXkRSygfbE2TVkGjdTW5iYIaIpCmoHV3dy/7/Ra9Bk9UWIR2plPQnFXyFLSoCkauCCHLEwxwGJLsN/WQT87SPFWXLGbCcRzOnTsn/NzpdGLz5s0Z7ychSpo5kNffq3xQAwBH6vKg1ySDLV8kgSt9foV7JJIGNRMTE5iYUNdGoWT1KKghAmlQMzo6imAwuOxjSKugXXH5EM5gWccihzhyxfPAkApGrgghy9PTEQGmMlc9fBwuPiqbpbl//z7Gx8eF1x8+fJhKOJM1qUKSguYeiSMSVn4gz6rX4GCNuLZNTSlo+fn5KC4uFto0W5N7KKghgsLCQlit4gZaK0lBe6LCCvNUWcdwnMc1V+ZGaRiWkc3W0EachGSXRIJHb6eYevaIk8/ShMNhXLlyRfj5xo0bUVJSMus4hKwFhcUaGE1TAT2vnu0MnpWkoN0dDmLQp550cOlsDa2ryT0U1BABwzCy2Zre3t5lH0OvYbG/ShylyXwKmmTkajiOSET5kStCyNIMuWKIRpLTNHGeRysfks3SXLt2DeFwGEByHeD+/fsV6yshSmOYmWtJ1RHUNDtMqMwTr8XvqWi2RlraeWhoCIFA5tb+kvSjoIbIzNyvZrq60HIcqRNT0G4O+OGNLK889GoUFmtgMFIKGiHZqKtdLAHbyYdgt2qFWZrx8XHcvXtX+Pnu3bthsVhmHYOQtUQ2kKeSFDSGYfDcugKh/UGnJ6PVUBdSXFwsK/0uLThCsh8FNUSmqqpKyE8Ph8MYHR1d9jE2l5hhN2oAAAkeuNSbudkaSkEjJDt5JhKYcIsDIA+5ID4lmaWRlnDOy8vD9u3blegmIapiV2kK2lN1+dBO7ykVTuDDDKaiL4RhGEpBy2EU1BAZg8GA8vJyob2SdTUalsFBScGAjKegVatv5IoQsrCeDnGWZpSPgbVAmKXp7u6WnYsOHjwIrVab8T4SojZqTUHLM2hwoEqdBQOkQU1fXx+iUfWs+SGrQ0ENmWVmCtpKSDfJezASwmggcydae5F85EoN9fsJIfOLRXn0dYs3Fg+5ID65qRhalkEikcD58+eFn1VUVMjy4glZ69SYggYAz67LFx7fGgxg2K+O4KGiogIGQ3KTUI7jVnyfQ9SHghoyizSoGRoaEhbmLkdjoRFOmzh6dDaDszUMw8hO8gO96jiREkLm5uqJgpvKPAvzHDzGGI7VJ2+I7t27J+wnwTAMlXAmZIaZKWhqGcjbXGIW7gN4AO93eJTt0BSWZVFXVye0KQUtd1BQQ2ZxOBwwmUwAAJ7n0dfXt+xjMAyDI3XiKM3pTg94PnMLBZ3VYkA1NppAOKSOkStCiBzP8+hoFQdOWvkQPr65CDoNg1AohKtXrwo/27RpExwOhxLdJES1ZqagqSWoYRgGz0jKO3/Q4UFCJQUDpClovb29KyqKRNSHghoyy8zSziudmn1KkoLm8kbRPr78GZ+VKijUwGQRf70HVZJnTAiRGxuNI+QXb3SG9BEcb0gOiFy5cgWRSHKtjV6vx759+xTpIyFqp9a1pMca8qGduhSPheK4MaCOggFVVVVg2ak99cJhjIyMKNwjkgoU1JA5zQxqVjLLUmbTY6PDJLRPd2Zu6jmZgiaOXPX3UQoaIWrU+kgc7OjjInhucwF0GhZjY2O4f/++8LM9e/bAbDYr0UVCVE+ta0kLjFrsqZQWDFBHCprBYEBZWZnQXsm+fER9KKghc6qurhYeBwIBjI2Nreg403nxAHCux4dYIoMpaJKgZsKdQCiojpErQkhSOMTBPRgX2n26CJ5tLADP8zh37pwwmFJQUIBt27Yp1U1CVI9hGJRL1pKqKTvh2cYC4fGNAT/GguroWyoyUoi6UFBD5mQymVBaWiq0V/oHf6DaBr0mOXrkiyQyOvWcb9fAbBV/xQdotoYQVXn8OAwGU+cHPoH9m6zQa1h0dXXJ1vIdPHgQGo1GqW4SkhWkA3nuUfWkoG0rM6PEkuwbx6unYIB08HZoaEhIdSXZi4IaMq9UjGJY9BrsrbQK7dNdyqWgqWnkipC1juN4dLWLNxHdmhCeW1cwq4RzVVWVrFIRIWRuak1BYxkGzzSKWRvvd0yCy2DhoPk4HA4YjUYAyYIlLpdL4R6R1aKghsxLGtQMDAyseIMqaQra9X4/vJHEAq9OLWlp54mxBIIBdYxcEbLWdXZHoEkkb8ASPI+NzSYYtCzu3LkDjyc5+EElnAlZOjWnoD1dnw926s94JBDH7cGAsh1CsrSzdLaGUtCyHwU1ZF6lpaWyDapWOoqxrcwCuzGZOhLngPMZ3LMmr4CFxSatgkYpaISowd37QeGxi43g+Q12BINBXLt2TXh+y5YtKCoqUqJ7hGQltaagFZl1eKJCzNr4Zfukcp2RkAY1vb29Gd16gqQeBTVkXqkaxdCwM/asUTAFbUBFI1eErFWD7ih0IfHy46zVwahlcfnyZWFG2GAwYO/evUp1kZCspNYUNAB4TlIw4JrLj8lQfP4XZ4j0Hsfr9WJyclK5zpBVo6CGLCgVpZ0B4GiduGdN21gYLk/mFuRJU9AmxxMIBjKX/kYIme3iDZ/weBIxPLc9H6Ojo3jw4IHw/N69e4VNgAkhS5McyBOveWoayNtRbkGRWQsASPDABxnc5mE+VqtVNhtMpZ2zGwU1ZEGpGsWotRtRbzcI7dNdmUtBs+WzsNpoI05C1GAyEAczKa6RsZSzMOs0OHfunPCc3W7Hli1blOgeIVmvXJKdMKaiFDQNywgb6wLJFDQ1pHvRuprcQUENWZDVakVxcbHQXs0f/NF6eQpagsvMySy5eJJS0AhRg/euT0I/demJgsPx3fno6OhAf3+/8JpDhw5RCWdCVkjNKWjPNBRgekhjyB9Dy2hI0f4A8oyU/v5+JBKUzZGtKKghi0rVBlWHa/KE6idjwTjujwQXfkMKUQoaIcrzR+IIDYmDGUwhYNYBFy5cEJ6rra1FbW2tAr0jJDeoOQXNYdFhW5lZaKshBc3pdEKrTabFxWIxDAwMKNwjslIU1JBFSadm+/v7EY+vbHFfgUmLXU6L0D6dwZPZzBQ0NZ3kCVkrTt6ehB3irOmTO6y4desWvN5kOirLsjh06JBS3SMkZ6g1BQ2QZ21c7PEhEle2b1qtFhUVFUKb1tVkLwpqyKKcTid0uuQJMh6Py9JEluuopAra5T4fQrHMnMwYhoGzmjbiJEQpwVgCg93igEjczMFqiuH69evCc1u3boXdbleie4TkFHuRBkazOlPQ9lfZYNImbz9DcQ6X+3yLvCP9ZpZ2JtmJghqyKI1Gg6qqKqG9mhS03ZVWWPTJX7twnM/oyay8ckYKmp9S0AjJlLcfTKKKF4uFbN1kxuXLlxGLJW+2jEYj9uzZo1T3CMkpDMPAWanOFDSDlsXBGpvQPqWCFDRpUDM6OopgMHPp8SR1KKghS5KqdTV6DYuD1WJ554ynoOVRChohmRaKcXjcGoKGSY4cc1oeFrMHDx8+FF6zb98+GI1GpbpISM5xqjgF7ZgkBe3uUBCjAWWvx4WFhbBaxc1BabYmO1FQQ5ZEOooxMTEh5MCvxNF6Mai5N5y5kxltxEmIMt5pnUAdJ+45U1uvx/nzYgnnoqIibN68WYmuEZKzClScgrbBYUKZNXk95gGcyeCm3HNhGIZKO+cACmrIkuTn58ty3VfzB99cbEK5TZmTmbQijGcigQCloBGSVuE4h6sP/bAxyRLNPHhodS4MDg4Krzl8+DBYli5HhKSSmlPQGIbB05LZmlOdHsX3rJEGNX19fYr3hywfXUXIkqUqBY1hGFnBgNNd3oydPGz5GlkKGhUMICS93m2bRE1cTCsrLAWufXhJaNfV1cnW7BFCUmdmClo4pJ4UtKck9wEDvhgeuZXds6a6uhrMVIpsMBiE2+1WtD9k+SioIUs2cxRjNRtUPVUnpqD1e6NoHQuvqm/LQSlohGRGJM7h3QcTqGLFAgEx7hF8vmSBECrhTEh6FRRpYJKkoA2pKAWtxKrD1lJxz5rTnStPa08Fo9GIkpISoU0paNmHghqyZJWVlcIu37FYbFWlnUutemwuEXPsM1kwgFLQCMmMX7ZPoiImztJojUG0PLoltLdv346CggIFekbI2sAwjKzy54CKghpAXjDgfI9X8T1rpBkpVCwg+1BQQ5ZMq9XK0kQ6OjpWdTzpBlwXeryIJTJzMqMUNELSL5rg8NMH41jPiIMXwdgdYfNek8mE3bt3K9U9QtYM6R5tYyPqSkHbX22DcWrPmmCMw1WXX9H+SIOagYEBRKNRBXtDlouCGrIsjY2NwuPOzs5VrYU5UG2DXpOcFvdFOVzvD6y6f0slna2hFDRCUu+9dg8KI1oYmeRlJpoYRf9Am/Dz/fv3w2AwzPd2QkiKFBRKUtCgrhQ0o5bFk9Xq2bOmtLQUen3y/oDjuFVlpJDMo6CGLEtdXZ2wkC4QCGBoaGjFxzLrNNhXJZ7MTme0Cpo4ckUpaISkVizB4Z8ejmEDm8yX53ke3vB14efFxcXYuHGjUt0jZE1hGAblsoE8dc0+SKug3RkKYCyoXNDFsqwsI4VS0LILBTVkWUwmEyoqKoR2Z2fnqo4nzae93u+HJxxf1fGWypavgY1S0AhJi/c7PGCCQAmTvJEKhLvg848KP6cSzoRklrwKWkJVKWgbSkwondqzhuOTFVGVlKpKryTz6KpClq2hoUF43N7evqoUtK2lZhSatACABJ9cKJgp5ZSCRkjKxRI8/umBOEvDcTFMBm8KP29oaEBlZaVS3SNkTZqVgtavnmseyzA4Jt3mQeE9a6SVXicnJ1e12TjJLApqyLLV19cLjz0eD8bHx1d8LA3LyMo7n8pgSUdKQSMk9U53eeANJtAwVSBgMngfsXgQAKDRaHDw4EElu0fImjSzCtqgitbVAMDRevE+wJXhbR5mysvLk1VlpBS07EFBDVk2m82G0tJSod3e3r6q40k34OoYD6N3MrKq4y3VzBQ0mq0hZHXiHI8f3x/DOsYELcMgFvfBG3gg/Hznzp3Iz89f4AiEkHQpr5RXQYtE1JOCVmrVY7NkzxqlCwZQClp2oqCGrIh0tma1pZ1rCgxoKBSrIGW0YEC1JAWtl4IaQlbjTJcHI4GYkHo27r8BHskbJ4vFgl27dinZPULWNHuxBgZjMgWN54FhFaWgAcAxSdbG+R4vohna5mEuMzcb5zj1BIBkfhTUkBWRlnZ2u93weFYXiBydkU8b5zKTT1suSUHzTiYQ8FEKGiErkZiapalg9MhntAhFBxGMiGkbTz75pFAqlRCSeckUNPGap7YUtAPVeTBqp6qrRjlcU3DPmsrKSqGYSTQaXVWlV5I5FNSQFbHb7bDb7UJ7tbM1R2rzoGWTJ7OJcAI3+jNzMrPlaWDLpxQ0QlbrbLcXQ/4YNjBm8DyHMd+Hws/KysrQ1NSkYO8IIYA8BW10OI5YVD0zECYdiwMq2bNGp9PB6XQKbVpXkx0oqCErJp2tWW1Qk2fUYl+VVWi/15HJPWuoChohq5GcpXHDAhbVjAG+UBti8Unh50eOHBH2tyKEKKfQoYXeMJWCxgFDA5nZRmGppFkbtwYDGA8p1z9pChqtq8kOFNSQFZOWdh4cHEQgEFjV8Z5pKBAe3xjwZ2wDLkpBI2R1zvd4MeCLoZk1g+ejmPDfEn62YcMGWWERQohyWJZBWYU0BU1dG3FuLjWjxJLc5oHjk+v0lCItFjAyMoJwWLmKbGRpKKghK+ZwOGCziVPFq92Ic2uZ/GSWqalnSkEjZOWm19KwAJoZEyb9d8DxyRslnU6HAwcOKNtBQoiMLAVtMI54TLk9YWZiGQZHJZtyn1Jwz5ri4mKYzcmiJzzPUwpaFqCghqwYwzCy2ZrVpqCxDIPjktma9zs84DJ0MqMUNEJW5lKvDy5vFLWMEZqED97QY+Fnu3fvhsViUbB3hJCZiku10OmTKWgcBwwPquuaJ01B6/NE0T6uzAwJwzCyFDQKatSPghqyKtKgxuVyIRJZ3R4zx+rzMVUvAEP+GO4PB1d1vKWamYLmpxQ0QhbF8Txev+8GkJylSRYHSA5E5OfnY/v27cp1jhAyJ5ZlUOrUCm21VUErt+mx0WES2koWDJgZ1Cg1a0SWhoIasirl5eUwmZInH47j0NXVtarjOSw67CgXR3YzVTBgZgraIM3WELKoy30+9HqisEOL/OgIwtFB4WeHDh2CVqtd4N2EEKVIsxNGBmKIx9V1s/50gzhbc67bi5hCe9ZIgxq/34/x8XFF+kGWhoIasiosy6Kurk5orzYFDZAXDLjc64MvkplZE3kKmroWTxKiNhzP4/V7YwCADYwB4/7rws+qqqpk5wVCiLoUl2oxPeaQSACjQ+oayDtQbYNek0zb8Ec5fJihbR5mMpvNcDgcQptS0NSNghqyatLSzj09PYjFVndyfKLCinyjBgAQ43ic7c7MbI1TloLGUQoaIQu46vKjezICHRiUhroRT/gAJPPQDx8+TCWcCVExjYZBqVO9G3GadRocqFLHnjVU2jl7UFBDVq2yshI6XfLkGI/HVz2SodMwOCZZKPhee2aqn1jzNMiTVkHrVddJnhC14Hke/3gvuZZmPQ/4gveEn23evAVFRUVKdY0QskTStaTDAzEkEupKQTsmSUG7MRDAhEJ71khLO/f39yMeV9fePkREQQ1ZNa1Wm/IUtOON4smsezKSseon5dWUgkbIYq64/OiaSBYFqQq2gueTF3md1oD9+/cp2TVCyBI5ynTQJJMiEI8B7mF13axvKTWj2Cxu83Chx6tIP8rLy4X1gYlEAkNDQ4r0gyyOghqSEvX19cLjrq4uJBKrS92qzDPIqp+81575FDSfh4PPSylohEhxklmaulgAsbBYHOSJ3ftgNBqV6hohZBm0WgYl5epNQWMZBkdq84T22W5lghqNRoPy8nKh3d/fr0g/yOIoqCEpUVtbC83UkE8kEknJH/0zjQXC43PdXoTj6a9+YrVpkFegEdoDvTRbQ4jU1elZGp5HXbBFeN5ktGPXri0K9owQslzSFLSh/hg4Tl0paEckqehtY2H0e5W5JldWVgqPKahRLwpqSEro9XpUVVUJ7VSkoB2otsGsS/6KhuIcLvX6Vn3MpaioFk/yA70xqktPyBTpLE1VdBhMXCxvuueJg2BZuqQQkk1Ky3WY/rONRXmMjagrBa2mwIDaAoPQzlThoJkqKiqEx4ODg7SuRqXoCkRSRloFrbOzc9XBgFHL4rBk6vm99slVHW+ppClofh8Hn0eZ+viEqM3VvuQsjYaPozHYKjxvM1djy/Za5TpGCFkRrY6Bo0y9G3ECkKegdXkVGWgsKSkRslESiQRGRkYy3geyOApqSMrU1dUJZVwDgUBKFtNJ96x5OBqCyxNZ9TEXY7ZqUFAopqD1UwoaIeB4Hv8wvZYm2AmWSxbvYMBix/YDYFkq4UxINiqvFAvkDLpi4FWWgnaoNg/TZ5chfwytY5kpHCSl1WppXU0WoKCGpIzJZILT6RTaqUhBayg0oM4uTj2/15GhggHSFLQ+SkEj5Gpfcl8acyKA6rC4V0O+dTM2bC5WsGeEkNUordBielupaITHmFtdBXIcFh02lYiFg5QqGCBNQXO5XIr0gSyMghqSUtIUtI6OjlUHAwzDyGZrTnd5EMtALX1nlThyFfRz8Eyo6yRPSCZxPI+/v+cGeB7rA4/AIPk3qGEt2NC0AwYjXUoIyVZ6PYviUkkKmgq3M5AWDLjQ40VCgdmkmetqVlvllaQeXYlISklLO3s8HoyNja36mEdq86CbSm3xhBO43u9f9TEXYzKzsBdLqqD1qS/PmJBMudLnQ89kBMWxURTFxL/pItsTaGyyKNgzQkgqlFfKq6CpLTvhQJUNWsl9wJ2hQMb7UFZWJqyricfjtK5GhSioISlls9lQWloqtFORgmY1aHCg2ia03+uYXPUxl6JCMlsz0BtV3UmekExIrqUZA8snsC7wWHjeqC9DeVkdCoo0C7ybEJINyip0mF64Eg7xmBhT1yyE1aDBExXiAMrZrsynoGm1WpSVlQltSkFTHwpqSMpJZ2tSEdQAwDON4tTzzYEARgPpnzmR1u8PBXlMquwkT0gmTM/SVId6YOZCU88yKLLtQd06g1AchBCSvQxGFsUOaQqa+rITpFXQrrh8Gdm7biZpChoVC1AfCmpIyknX1bjdbng8q1/cv7nEjDJrMsjgAZzqTH/BAKOJRVGJeJLvV+FJnpB04nge/3B3DIZECLWhTuH5PHMzLGY7Kqr1C7ybEJJNpClogy71ZSc8UWGFZWrvunCcx9W+zOxdJ0XratSNghqScna7HXa7XWinYrZmZsGA9zsmwWXghCvds2awT30neULS6XKfDz2eCNYFW6FBclSUZY2wW7ahul4PjZZmaQjJFWWV8uwEtRXI0WtY7JekoitRBa2srEzYZDgWi2F0dDTjfSDzo6CGpMXMKmipcLQ+D9NbYYwE4rg7FEzJcRdSXqkTSl2GQzzGVVbqkpB04Xge/3h3DPbYGEqjw8LzhdadYFk9ahtploaQXGI0sSiUFMhR+0actwYD8ITjGf18nU4nW1dDKWjqQkENSYuGhgbh8eDgIAKB1VcqKTLr8ESFVWj/sn1y1cdcjMEoT0EboI04yRpxudeH3skQ1gceCc8ZdMWwGhtQ6tTCbKECAYTkGlkKmgr3aNtUYkahKXlN5njgQo+yKWgU1KgLBTUkLRwOB2w2cZo4ZQUDGsSCAVddfngzMEpTUS3NM1bfbsuEpFqy4pkbleE+WBPigESRbQ8YhkHdOsMC7yaEZKuySnEGNuDn4PNkfjH+QjQsg8OS2RolUtCkQc3AwAA4Tl3/RmsZBTUkLRiGkc3WPH78eIFXL90upxX2qVGaOMfjTAZOaGUVYgpaJMxjbDSz092EZNrlXh8GJ3yoC4mDEVZjIwy6Ylhs8o36CCG5w2xhUVAoTUFTX3aCNAXtsTuEIV9m+1heXi6sq4lGo7SuRkUoqCFp09zcLDweHBzE5OTkqo+pYRk8XS/O1vyyfTLt0+N6AwtHmSQFjaqgkRw2PUvTEGyHjk8G8CyjQ6FtBwCgrpHKOBOSy2amoKlNnd2AyjxxRinTszU6nQ4lJSVCm1LQ1IOCGpI2DocDhYWFQvvRo0cLvHrpjktS0Po8UTwcCS3w6tRwSjbiHHTFwFEKGslRl3p9mBgbhTMiXqgLrNuhYU3QaIHKWioQQEguk+7R5vNy8HnVVSCHYRgcqZOnoGV67Q+tq1EnCmpI2jAMI5utefz4cUpOPOU2PbaXmYX2W60Tqz7mYsoqdJiabUY0wsM9QiloJPck96UZRVOgZXpzcRj1BcgzNQEAKmv00OlploaQXGaxapBXkD1V0Pq9UXSMRzL6+ZWVleLn9/fTuhqVoKCGpFVTU5Pw2OPxYGhoKCXHPbFe3AfnSp8P46H0Bhk6PSNPQetV30mekNW61OtDfKQb+XExnaPAsgcMk7xUUIEAQtYGtaeglVr12OAwCe2z3enfkFuqvLxcSMONRqNwu90Z/XwyNwpqSFrZbDbZiEaqUtCeqLDCYU4GGQke+GXbZEqOuxCnZPf0IVcMXIJS0EjuSHA8Xr8ziMZgm/Bckb0OJn1yT4aiEi1s+VTGmZC1QJqC5p1MIOhXVwoaIJ+tOd/jQyKDaeF6vZ7W1agQBTUk7aQpaK2trYjHVz+romEZPL9OnK052T6JeJpPaGVOHdipe7pYjMfoMKWgkdxxvscL/VAL9HyykpBGo4VFu1P4ed06WktDyFphy9PAahNvEdWYgvZktQ2aqWzYiVAc94bTvyG31MwUNKI8CmpI2jU0NECjSUYDkUgEPT09KTnuM4350LLJM9pEKI6rfendhEurY1BaLo5e0UacJFfEOR4/vdGJynCf8FxdzXZoWAsAwGhiUOrUzfd2QkgOks7WqDGoyTNqsdNpEdqZroI2c78atW1UuhZRUEPSzmAwyPasSVUKWr5Ri4PV4gafb2ckBU08yQ/1xxCP0+JAkv1OdUyiaOQeWCQvyhZbHti4OMNa22gAy1KBAELWEum6momxBEJB9V3vDteK1VAv9/oQyeA1WbquJhwOY2xsLGOfTeZGQQ3JCGkKWldXF8LhcEqO+xFJwYD7w0H0Tqa3AkpJuQ6aqXoB8TjQ35vZ6W5CUi2W4PDe1TsoiE8Kz23ffBCxSPLywLJAdT2lnhGy1uQVaGC2iLeJQ/3qm63ZW2mFUZvsYyjO4cN+f8Y+22AwwOFwCG1KQVMeBTUkI6qrq2EyJSuVcByHtra2Rd6xNE3FRtTbxYpMb6e5vLNWK0/D6WxLb8obIen2TssISidahHZlTR3C3lKh7azSwWCkSwUhaw3DMPIqaCpMQTNoWeyrsgptJVPQXC5XRj+bzEZXKpIRLMvKyjunKgWNYRhZeefTXV4EY+mt0uKU5Bn3dQcQj6lvSp6QpYjEOXx49Qr0/NTNCqvBvl0HMe4W/4ZqqYwzIWuWNKgZG40jElbf9U5aBe3mgB++SOYqtc3chJPW1ShLu/hLFtfZ2Ym7d++ivb0dbW1tmJiYgE6nww9/+MNlH+tLX/oSRkdH5/35n//5n8t+iUj2aG5uxu3btwEAg4ODmJycREFBwaqPe7g2D39zawT+KIdwnMPpTi9eaLIv/sYVKinXQasD4jEgHuPR1xOANX/x9xGiNj+73o7iQK/Q3r5rN0YHDQCSRTDy7RoUFFIZZ0LWqoIiDYwmBuEQD/DJFLSaBnUNdGwrsyDfqIEnnECcAy72emXVUdNJej8aDocxPj6OoqKijHw2mS0lQc0bb7yB69evp+JQgiNHjsz5vNlsnvN5on4OhwN2ux0TE8kUscePH2Pv3r2rPq5By+Lp+nz886Pkcd9uncCJ9QXCAr5U02gYlDl1cPUkR7e72vzY8kRK/pQIyRh/JIbOW5cxXTuIMeVh9/YdOPVWQHhN3TpD2v6OCCHqxzAMyip06G5PDnQMutQX1GhYBodq8vCLx8l7gLNdmQtqptfVTA/Gu1wuCmoUlJI7sfXr16O2thYNDQ1oaGjAb/3Wb636mF/60pdS0DOiJgzDYMOGDbh06RKAZAranj17UnLT9JH1diGocXmjuDccxNYyyyLvWjlntV4Iavq6A9iwLQ9aHd38kezxxpnrsMTEXbifefooBnoT4KYyN3R6RlbtjxCyNpVXiUGNeySOWJSDTq+u1QtP1YlBzcPREEb8MZRYM3P+qqioEIKa/v5+bNu2LSOfS2ZLyW/lRz/6UbzyyivYtWtXStKJSO6SrqvxeDwYGhpKyXHLbXrsLBeDmLdbJ1Ny3Pk4SrXQ6ZNBTCLBY2hAfQsoCZnP6KQP4623hLa+pAZNtdXobhP3Xqpp0EOjoUCdkLWuqFgLvSF5LuA5YHhAfRtPNxYa4bSJQcy5nswVDKB1NeqhrlCb5DybzSbbhTdVBQMA4CPrC4THV10+uIPpCzRYTXJKfhptxEmyyU/ePQMtn7wxiTNafOy5oxgejCMYmFoEzEB1KSaEEGUwrPx6p8YqaAzD4Ihkz5oLGQxqnE6n8DgUCgkp9iTzVBvUvPnmm/jOd76Dv/7rv8b7778PrzezZfpI+kj3rGlra0MikZpKJbucVpRYkhmVHA/8sn0yJcedjzQ1Z2QojmhEfVVhCJmptbsPkeEuoV3QuA2l9jx0top7PJVX6GT7UxBC1jZpFbSRoRjiMfXNRhysETfj7pqIwOVJ775100wmE4qLi4U27VejHNWubv7BD34ga3//+9/H5z73ORw7dmxZx/nyl7886zm9Xo+vf/3rACD7RVSCVpv8CqQbOOW6vXv34syZM4jH40K1kI0bN6bk2J/YHsH/vNgNAHi/w4t/9VQzdJr03JwVFfG4+2EXQsEEeA7wTRrRvJnKoGWbtfQ3mEgk8P73/k5oB3V5+HefOoFogMfYyKTw/I49pXA4TAr0cGXW0neYi+j7U7/CQh63rnQiGuXAJYBw0IS6RjGIUMN36HAA64pH0OZOFju56U5gR2Nm+tPY2Ai32w0AcLvdWfm7rIbvcLVUNxS3a9cufOUrX8H/+B//Az/4wQ/wjW98Ay+++CJisRj+6q/+CteuXVO6i2SVjEYjNmzYILTv3LmTsmP/yuYy6KfWAYwFYzjbPpayY8/Esgwa1ov18TtbaSNOom4fnLuIuF9Mjdiw7yhsJj0e3pkUnityGFBablSgd4QQtdJoGFTVietWuzv8CvZmfk83iTfk7z8ezdj6ltraWuFxd3c3ratRiOpmaj7/+c/L2lVVVfjsZz8Lp9OJ73znO/jhD3+IPXv2LPl43/zmNxf8udvtVvSXbzoiXmhvnlxUV1eHe/fuAUiuq+nr64PRmJobqSerbTjdlUxX/IfrPdhWmJLDzqlunQ33bydvEocGQujpHqa0nSyzVv4G/X4/zp85LbTd5kr89pYquPqG0fFYTO+trtcII47ZYq18h7mKvr/sUOjg0PE4+bi3y4+hoRGhmIhavsMdReL1t2cihOttLtTa0z9IY7Vahcc+nw9tbW2w2zNTVjpV1PAdMgyD8vLyFb8/a+6+jh07hvz8fAwODmJkZETp7pBVqq6uhsmUTG/hOA5tbW0pO/aJ9eKJ5OFoCN0T4ZQde6biEgPy8sVc434qGEBU6v3T5wAuWRwgxuiwa+8+GLQsejqi4KaWgxmMDJxVVMaZEDKbo1QLzdRQeCIOjA6prwpamU2PdUViEHO+JzMZFGazGYWF4ggqratRRtYENSzLorS0FACoskQOYFlWVt45lVXQ1heb0FgontTSWd6ZYRjUrxfzivt7KKgh6tPX14fernahPVTQhBMby5BI8OhuFxfT1jYawFIZZ0LIHDRaBiXl0ipo6rzeHaoR08Iv9Hgzlo0zs7QzybysCWoAIBBILv5KVZoSUZa0Ctrg4CA8Hs8Cr14eaXnns90eBKKpqbA2l4YmMajxeTh4J9P3WYQsVzwex/sfiGlnHm0+ju/bAZ2GxUBvDJFw8oLPssm9aQghZD7SKmjDA3FwnPrWjjwpqYI25I+hfTx92RpS0u0qaL8aZWRNUNPX14eBgQEYDAZZNEyyl8PhkOWcpnK25lBNHmxTOx6H4zxOdaYuYJopv0CPgkKN0HbRbA1RkVu3bsHnnQQA8ADcxVvwdEMBeJ6XlXGurNHDYMyaSwIhRAGl5TqwU6eJWJSHe0R9KWjFZh02Sqo3XshQCpr03tTv96d0oJYsjSJXsJMnT+K1117Dj370I9nzt2/fRmdn56zX9/T04Jvf/CZ4nsexY8eEsnMkuzEMI5utefToUcpGNgxaFk83FAjtd9om0zpqUlEjjnD390ZphIaogsfjwbVrHwptl7EKH32iAVqWwbg7IZtVrFtPm20SQham1TFwlIn3YIN96tuIEwAOzkhB4zJwTTabzbKBWkpBy7yURAc3b97EP/3TP8mei8fj+IM/+AOh/YlPfAI7d+4EAHi9XgwMDMxaG9Pa2oo33ngDDocDpaWlyMvLw8jICLq6upBIJLBx40Z85jOfSUWXiUo0Nzfj8uXLAJI3YENDQ6uqfCH1kXUF+OeWcfAA+r1R3B0OYluZZdH3rURFtQ4Pb4fA80A4yGNsNIHiEgq+iXJ4nsfp06eRSCRHUqOMHuGSjThcm7zYS2dpiku0yCvQzHkcQgiRKq/UY3ggeV4Z6o9h6y71DeI9WW3Dd28Mg+MBdzCOx6MhbCgxp/1zKyoqhHvb/v5+bNq0Ke2fSUQpuevyer2zqlfxPC97zuv1znzbLNu3b8fY2Bg6OjrQ09ODYDAIk8mE5uZmHDx4EEePHgXLUnpELrHZbKioqBBGNB49epSyoKbMpsdOpwU3BpJrsd5unUhbUGMwsigu1QrVYPp7ohTUEEW1trait7dXbFua8Bs7yqFhGQT9CQz1iyOsNEtDCFmq0gotGAbgeSAa4THuTqCkVOleyRWYtNhcasbdoSAA4HyvLyNBTWVlJe7fvw+AZmqUkJK7rqeeegpPPfXUkl//yiuv4JVXXpn1/Pr167F+/fpUdIlkkebmZuGPv62tDYcPH4ZGk5pR4xPr7UJQc83lx2ggBoclPSVrK2r0QlAz2BfD5p28UMOfkEwKh8M4d+6c0HbrimAurcH+6uQC2q62aHKBDQCzlUWpkwJwQsjS6PXyQbxBVxTNKpyQOFSTJwQ1l3q8+MLOEmjY9F6TpetqfD4fvF4v8vLyFngHSSWa9iCKa2xsFIKYcDiM7u7ulB17p9OCMmsyiOF44BeP01cOvLxCB3YqFovFeIwMqjPXmOS+CxcuIBQKAQASYPHYsgGf3VEClmEQj/Ho7RJTz+rXGcAwFHwTQpZOWgVt0BVT5TrSfVU2TI8rToQTeDASTPtnWiwWFBQUCG2arcksCmqI4gwGA+rr64V2S0tLyo7NMgxebBIX7r3bNpm28s5aHYOyCslGnD0U1JDMc7lcePjwodDuNDdinbMYO8qTqZd9XVHEp341tTqgqo7KOBNClqesQgdMBQzhEI/R4cjCb1BAnkGD7eViynmmqqA5nU7h8dDQUEY+kyRRUENUYcOGDcLjrq4u+HypO/kcbyiAZaq8cyjO4d32yZQde6ZKSRW04YEYYlH1jV6R3BWPx3Hq1Cmh7dPY0Gesxm/scIBhGPA8j6428eajus4ArY5maQghy2MwsigqFtPEezr9CvZmftIqaJf6fIhnYF+dsrIy4fHg4GDaP4+IKKghqlBTUyPknfI8j3v37qXs2CYdi4+sE2drfvFoArFEek5sjjItdPrkTSLHqXfHZZKbrl+/jsnJSQDJJTMt1o04UJOPdUXJPRtGBuMI+Lnkixmgbh3N0hBCVqasUjx/dHf4VZmCtrfSCu3UOhpfJIG7Q4G0f6a02NHY2BiiUboPyBQKaogqMAyDrVu3Cu379+8jHk/dpl4vNNmFE9tYKI4LPYtX41sJlmXgrJKkoPVSChrJjLGxMVy/fl1o9xmrEdTl419scwjPScs4l1XoYLZSGWdCyMpI19X4PDGMj6nv5t2i12CXU0xBO5+BFLTCwkLo9cmAj+d5DA8Pp/0zSRIFNUQ1Nm7cKGysGg6HZ5UJX41CkxZP1YnT0D9tGU/bqJI0Bc09HEc4xKXlcwiZNr0nDcclf9fCrBGd5kY821gAZ17y99E7mYB7WBwoqF9HZZwJIStnMrMoKJSkoHWoPwXtap8PsUR6r8kMw6C0VKxxTetqMoeCGqIaRqMRTU1NQvvu3bspPf7LzYXC457JCG4PpacSir1YA5NF/NPq71Xf6BXJLQ8ePMDAwIDQfmxphk6nw6e3FAvPdUlmafIKNCh00CwNIWR1yiWZCd0qDWr2VFphmCqDFohxuDmY2RQ0WleTORTUEFWRpqANDw+ndISjusAgm4b+2cOxlB1bimEYVFRTFTSSGYFAABcuXBDaw/pSuPUleHlDIeym5MxnJMzB1SMG1/XrqYwzIWT1pClok+NR+LzpqS66GkYti92VVqF9oTv9KWjSoGZoaEiV641yEQU1RFUcDoesHGKqZ2s+tlGcrbk9FETXRDilx58mTUHzTCRUeaInueHcuXPCQtQYo0WrpRn5Bg0+ukEyM9kRxVRmGgxGBs7q9GxASwhZWyxWDfIKxFnfIZc6B/GkKWjX+n2IxNObgiatgBYOh4UCLiS9KKghqiOdrWltbUUwmLo0sc0lZjQUGoX2zx6Op+zYUrZ8+Ym+v4dS0EjqdXV1ydaedZjXIcoa8MqWIph1yd8/LsGju11MPattNECjoVkaQkhqSGdrBvrUGdTsclpg0iZvecNxHtf705sqZzAYUFgoDizRuprMoKCGqE5DQwPMZjMAgOM42UaCq8UwjGwE+3yPF6OB9JyEK2vkKWg0/UxSKRqN4syZM0J7UluAfkMlyqw6PNcoljAf6IshEk7+7rEsUNNAZZwJIakjXVfjnUwg4FdfZoJew2JvlZiClokqaLRfTeZRUENUR6PRYPPmzUL73r17QlWnVHiy2oYSS3KtQYIHfvF4ImXHlnJWizePwQCHiTH1nehJ9rpy5YqwSS0HBo8sGwGGwa9vc0A3NRPD87ysjHNFjR4GI532CSGpY8vToKBQvN4NqjQF7ZAkBe3GgB/BWHqvyTPX1ZD0o6sbUaXNmzeDZZO/nj6fD11dXSk7toZl8JKkEtq7bZMIRFN/cjOZWRSXaIU2paCRVBkZGcGdO3eEdo+pDgGtFQ2FBhyssQnPj7sT8EyIv9t1VMaZEJIGtQ3iLMigSlPQtpVZYNUn7yuiCR7XXOlNQZPO1LjdbkQikQVeTVKBghqiSlarFQ0NDUI71QUDnm7Ih2Xq5BaKc/hl+2RKjz+tokaea8xxlIJGVofjOHzwwQdCOmOANaPbVAcA+Oz2ErCSqmbtLWIhjKISLfLtVMaZEJJ60qBmcjyBYEB9+7PpNAz2V4mDPunahHtaYWEhDAZxIIk24Uw/CmqIakkLBvT19WF8PHWL+s06DZ5vLBDaP380gVgi9QFHeaUeUxNOiEZ4jA7FF34DIYu4desWRkdHhfYj60ZwjAbby8zYXi6WLPdOJjAyKP6+NTbTLA0hJD3sRXrk5YuDeEMudWYmSKug3RoMwB9JXwoabcKZeRTUENVyOp0oLhY3D0z1bM0LTXZMFUPBWCiOi72pH7XR6RmUOqUFA9R5oifZYXx8HFeuXBHaAwYnJnXJVMrP7iiRvbbjsThLk5fPwlGmBSGEpAPDMKhtFGdrBlS6rmZLqRn5xuSMdZwDrrjSWzCANuHMLApqiGoxDCObrWlpaUlpTmqRWYcjtflC+6cPx9NSoUyagjbUH0M8RiloZPk4jsN7772HRCI5shhjDWgzNwHA/9/efYe3VZ79A/8ebXnvJW87ie3s5SRkksVeJYRNS4FCCSO0tD/KaAsto31faPoyCi2jFELKzCCEpElDGNl7OnYSO97xnrK1z+8P2UdSvG3Zkuzv57q48JHOOXqSE0u6z30/94N5SUEurcpbW2wui76mZWi42CYRDSrnErS6aisMrd5XgiaXCbjEqQRtsLugOc+r4SKcg49BDXm1MWPGSDWpZrMZp0+fduv5nds7n6834ugF962J0y4qVgml0v6F0mq1BzZEfXXkyBGXmuxT/pmwyJRQyIDbJ0a47Jufa0T7Z6fWj4ttEtHgC49UQ+vv+FrptV3Qkh0laMcu6NFgGLyycOegxmg0oq5ucLqtkh2DGvJqSqUSWVlZ0vaxY8fceqcjMUSNqXGOeQhrc9y/GKdcLrj08S9hCRr1UW1tLXbv3i1tV2vjUK2yl5tdPioUMYGOdqomkw2F+Y6MZuoYDWQyZmmIaHAJgoA4p4U4vTWoyYzUIlxrL8e1icCuosHL1nARzqHFoIa83vjx46Wf6+rqUFJS4tbzO2drjpTrUVBn6Gbv/nEuQauusHhlWp68k81mw7Zt26SyM0GpwUmNvexMq5Bh+bhwl/0Lz5pgbbvxqFQJSEzlYptENDScb+DVVFlgNHjfZ51MEDA7aei6oHFezdBhUENeLyQkBElJSdK2uxsGjI/2Q1qYozPUukHI1oRHKqD1a18QESg5z2wN9c6RI0dc7u4d12bAIrN/cbghKwzBGkcDAKvFdbHNlFEqKBTM0hDR0AgJk0OjbXvPEb233Nq5C9qpqlbUtw5NCRozNYOLQQ35hIkTJ0o/5+fnSyupu4MgCLg+03G3+/vzjahuce8bsSAISEhx3DEvKjBxwiD1qK6uzqXszByagAqlvewswk/hkmUEgOLzJpiM9n9XMjmQnM42zkQ0dARBQGy86/ps3mh0uAYRfo4StN3Fg1eC5pypqamp4SKcg4hBDfmEpKQkBAXZ76yIoojjx4+79fyXJAYisu0Nzira161xN+egRt9kQ1314PXHJ993cbczlUaLXUiXnv/x5CioFY63cNEmIj/X8WGZmKKCWsO3eCIaWrEJjs+6mkoLTEbvK0ETBAGXJDpK0AZzXk1oaCgX4Rwi/MQjn3Bxe+cTJ07AYnFfulghE3BNhuOu95Yz9dCb3Bt0+PnLERHtKBUqKmAJGnXt4rKz88FjpbKzzEgt5jrVhANAeakZ+ua2Lw8CkDqGWRoiGnphEXKoNY5ya28tQZud6ChBO1HZgvpB6oImCIJLCRrn1QweBjXkM7KysqBQ2IMCg8GAM2fOuPX8S9KD4a+0/0q0WmzYcqberecH7HfP25UVm7hmDXXq4rKzgNgU5FgcQfc9U6Nc1p0RRRHnTjuyNHHxSvgHyIdmsERETi4uQfPWLmijIzQIdypB2zOIJWicVzM0GNSQz9BoNBgzZoy07e6GAX5KOS4bFSJtr82pRavZvWnzGJ3TmjUWe2BD5OzibmdarRbfianS8wtTgzEqXOtyTE2lBfW1jsxiWgazNETkOc5BTVWFBWaT95WgyQTXhTgHswTNeV4NF+EcPAxqyKc4l6BVVFS4/Y7HdZlhUMvtQUej0YpNee6dWyNXCC7tnYvyGdSQq6NHj7qUJ1iTpqLObM+6aBQy3DkpssMxZ52yNBHRCoSEKTrsQ0Q0VMIiFVCp20rQbMCFssHrLjYQs53m1RyvaEHjIJWgRUdHSz9zEc7Bw6CGfEpkZCTi4uKkbXdna0I0Clw1JlTaXptTixaze+fWOK8bUldjRVMjGwaQXV1dHXbt2iVtx6ek4z/VftL2TePCEaZ1DVga6qyouuD4IE5nloaIPEwmExCjcy5B884beGMitdJ7qk0E9pQ0D8rrqNVqhIc7uqxyXs3gYFBDPsc5W5OXl+fW9s4AcENmGDRta3s0Ga3YlFvv1vMHhyoQFOKY71DMbA2hY9mZn58fTqhHw9pWpRAdoMS1GaEdjjuX61gsNijEtRkFEZGnOC/EWVVu8co5pDJBwCynbM3OQSxB47yawceghnxOWloaAgICANi/CB44cMCt5w/SKHDVaOdsTc2gZmuKz5tgs3nfmz0NrYvLzhImzMLBKkcG5u7JUVDJXd+yW/Q2lBU5JuGmZ6pdGggQEXlKRJQCSpX9/chmAyrKvbNhgHMJ2rELejQaB6d6wnleDTM1g4NBDfkcuVyOadOmSdsnT550e7bm+qxwaNrWAGk22bDRzevW6BKVkLX99pmMIirKvPPNnoZGfX29S7ezUaNGY32FoxnAuGg/zEwI6HBcfq4B7fNN/fxlLpNziYg8qUMJmpcuxJkRoUWoxl49YROBfSWDk61xztTU1tZyEc5BwKCGfFJWVhb8/f0B2LM1Bw8edOv5g9RyXOM0t2bd6Vq3rlujUssQ4/QFtJhr1oxYNpsN//nPf6R1l7RaLQy6CShttP+bkAnAvRe1cAYAk9Hm0mgidYwaMhmzNETkPZxvtFSWm2GxeF9Vglx2UQla4eAENRcvwskSNPdjUEM+SaFQdMjWNDe7d4LfdZlh8Gtbt0ZvsuHLXPdma5zXrKkot8DQ6n0tL2nw7du3z+XDbeacefg01/FveUlaCFJCNR2OO3/WhLbpN1CpBSQ4/XsiIvIGEdEKKNriGqvVHth4o0ucgpqjF/RoGoQSNEEQOrR2JvdiUEM+a+zYsVK2xmq1uj1bE6iW42qnbM2GnFo0uzFbExGtgNav7c66yGzNSFReXo79+/dL25mZmdjZFAx925oO/koZbp8Y0eE4i0VEwRlH6ULKKDUUCmZpiMi7yOUCouO8fyHOrEg/hLSVoFmHqASN82rcj0EN+SyFQoGpU6dK2ydOnIBer3fra1yXEQb/9myN2YYvT9e67dyCICAhxZGKLi4wcUGuEcRoNGLLli3SNQ8KCkLKxBnYcrZe2ufm8REI1nTsZlZSYILJaD9OLgeS05mlISLvFJfgVJVQZobV6n2fc3KZgFkJg98FjYtwDi4GNeTTxo0bBz8/+zoeg5GtCVDLcY1TG90Np+vQ7Ma0tHPJkL7ZhtoqrlkzUnz77bdobGwEYA9wL7vsMrx/vB7tjfDiAlW4cnTHFs42m4hzuY4sTWKqCio138qJyDtFRisgb7s3Y7XAZV0tb3JxCZo7KzPaRUdHS/MjTSYTamvdd6OUGNSQj7s4W3P8+HG3Z2uuccrWtJhtWO/GbI2fv8xlXZGiAnZDGQlyc3Nx+vRpaXvGjBkosgTg2IUW6bGfTomCUt6xpKy8xIwWvb08TRDsDQKIiLyVXCEgOta5C5p3llqPjfJDsNpegmaxAfsGYSFOlUrFRTgHEYMa8nnjx493ydYcOnTIrecPUMlxbWaYtP3l6Tq3TiJ0XrOmrNgMsxcuUEbu09jYiG+++Ubajo2NxcTJU/DuoUrpsUmx/pim8+9wrGgTkXfSsdhmXIISfv7yDvsREXkT54U4L5SZYfPSErSZTiVou4oaB+V1uAjn4GFQQz5PoVBgypQp0vbx48fR0tLSzRF9d82YUASo7L8urRYb1ue4L1sTo1M6FiizAmVF3nkXiwauvX2zyWS/xiqVCpdddhm+ymvAhWb7BFqZANzTSQtnACgrMaO50dElb1RWx65oRETeJipWCVnb/ReLGaiq9P4StMPlLW5dyqEdF+EcPAxqaFgYP348tFr7YoUWi8Xt2Rp/lRzXOWdrcuvQaHDPm7JcLiA+yXEXy3ntERpeDh48iLKyMml7wYIFaJVp8O/j1dJjV4wORWJwx5Iy0SYi74RTliZRicBgZmmIyPspFAKiYr1/Ic7x0X4IlErQROwvdX8JmnOmpq6uDgaDoZu9qS8Y1NCwoFQqXebWHDt2zO3ZmqvHhCKwLVtjsNiwzo3ZGucuaPW1VjTWs2HAcHPhwgXs3btX2h4zZgzGjBmDt/ZXwNhWihGsluPW8R1bOAP20sTmJkeWZvRYZmmIyHfEOS3EeaHUDJvNS0vQ4gOk7V2D0AUtJCQEGo3j/ZslaO7DoIaGjfHjx0tvFBaLBYcPH3br+f2Uclyf6Zjg91VeHepa3JNVCQ6VIzjUcdeda9YMLyaTCVu2bIHNZg9KAgMDsWDBAuwqbsLBMkdji59OjZLuEjq7eC6NLlGJwCBmaYjId0TFKSFr+9ZpNomo8dIStNlJQdLPh8r0aDG79yajIAicVzNIGNTQsKFUKl3m1hw7dgytra1ufY0rx4RIXzoNFhEfHSx127kTndo7lxSavHIiJfXPd999h4aGBgD2D7SlS5fCIijwjwOO5gATY/wwPzmo0+NLL8rSjGKWhoh8jFIpIDLG0e3TWxfiHB/tJ1VlmG0i9g9CFzTOqxkcDGpoWJkwYYKUrTGbzW6fW+OnlOMGp7k1nx8tQ62bsjW6JMdESpNRxIUy73zDp745c+YMTp06JW1PmzYNOp0OHx6tQl2r/U6lUibg59kxnTYHYJaGiIaL2HjHzbvyEu8sQVPIBMxw7oJW7P4SNOdMTUVFBRfhdBMGNTSsqFQqTJ48WdoelGzN6FAESdkaGz46WOKW8ypVMsTqHDXHLEHzfU1NTdi+fbu0HR0djezsbORWt+LrvHrp8eXjwxEbqOrkDEBpkRn69iyNwCwNEfmuGJ0CQts3T5NRRG2Vl5agOXVBO1SmR6vZ1s3efcdFOAcHgxoadiZOnOiSrXH33BqtUoYfZTlna8pR3+qeN2bnNWsqL1jQ2uLeN1IaOqIoYuvWrTAa7QuqKpVKXHbZZRAFGd7YewHt9+USglW4wWmuljObTUTeKWZpiGh4UKpkiHRacLrMa7ug+cO/rQTNZHV/FzQuwjk4GNTQsHNxtubo0aNub5l4xehQBGvsXy6NFhs+O1XjlvOGRyng59/2aykCxeeZrfFVhw4dQkmJI4s3f/58hISEYMPpWpyvN0qPP5gdA6W8Y9kZAJRdlKUZzXVpiMjHxSV6fwmaUi5gRrzzQpzuL0FznlfDZgHuwaCGhqUJEyZArba3SR6MbI1GIcONWY67LF/n1aGsceABiCAISHBqGFCcb2KtrQ8qKyvD7t27pe309HRkZmaiotmENccca9IsTQ9GVpRfp+ewdTKXJoBZGiLycTFOXdBMRi/uguZUgnawrBkGi3srJ5zn1TBT4x4MamhYUqvVg56tuXxUCKID7YGTxQa8d7iyhyN6xzmoadHbUO2lb/jUuZaWFnz99ddS++aAgAAsXLgQAPDW/gqY2tek0chx16SoLs9TWmSGvtkpS8O5NEQ0DChVrl3QvLUEbWKMP/yVjhK0g24uQXPO1HARTvdgUEPD1sSJE6VsjclkwpEjR9x6frVChhVzUqTtfSXNOFKu7+aI3tH6yRAV63jDLzhj7GZv8iY2mw2bN2+GXm//dyCTyXDFFVdAo9FgV5HrmjT3TOl8TRr7eUScccrSxCcqERDILA0RDQ9xCb5RgpbttBDnTjeXoAUHB3MRTjdjUEPDllqtxqRJk6TtI0eOuP1OyKLREZgY51hb5J2DFbC64c05OV0t/VxRaoG+2b2Lf9Hg2L17t8s8mrlz5yI2NhbNJiv+caBCenxSrD/mdbEmDQCUFrpmadjxjIiGk2id60Kc1RXeWZFwiVMJ2oHSZhjdWILGRTjdj0ENDWuTJk2CSmW/I2QymbBnzx63nl8QBDw6PxXt07yLGkzYcrZ+wOeNilXAP9Dx61mQx2yNtzt37hwOHjwobY8ePRoTJkwAAHx4pAp1BntgqpILeGB6dKdr0gBtWRqnjmfxSczSENHwolQKiIp1LGHgrSVok2P9oVXYP4uNVhEHywavBI1BzcAxqKFhTa1WY9q0adL28ePHUVVV5dbXyIgOxMLUYGn7o2PVaDYOLLMiCAJSRjmyNcUFJpjN3peeJ7v6+nps3bpV2g4NDcXChQshCAJOV7Vi85l66bmbx0V0uSYN4JqlEdjxjIiGqbhER1BzocQMm9X7PuOUctmglqBFR0dLP1dWVrIx0AAxqKFhb/LkyQgJCQFgXztkx44dbn/juHNSJDRtd3OajFb8+3h1D0f0LCFZBUXbe77FwsU4vZXZbMamTZtgMtmvj1KpxFVXXQWVSgWLTcQb+xxr0iQGq3BdZliX5+qwLk2SEv7M0hDRMBQdq4Ss7e3NbBZR5aUlaLMHsQQtMjJS+tlgMKCpyf2to0cSBjU07MnlcsyfP1/aLi8vx+nTp936GqFaBW4a52jxvCmvDiUNAysZUygFJKU6sjUFeUaIXjiZciRrD5Krqx1B7KJFixAWZg9cNuTUorCXa9IAQGmhCS3M0hDRCKBQCoh2KUHzzht3k+P8pZuWBovoloZA7bRaLYKCHPMrKyvd00V1pGJQQyNCUlIS0tLSpO0ffvhBWundXa7NCEV0gP0N2ioC7x4a+JtT8ig12ifstOhtqCj3zjtZI9XJkyeRk5MjbU+aNAmjR48GAPuaNE4Zu8vSQ5DZxZo0QPu6NI5/k/FJKmZpiGhYi0twKkErNcPqhSVoKrkM03T+0vbuYvdmU6KiHK39KyoqutmTesKghkaMefPmQaGwt0pubW11e9MAlVyGuyc73pwOlulxYIB97f38ZYjVOd7089kwwGtUVFRgx44d0nZsbCxmz54NwJ7B+ds+x5o0IRo57poU2dlpJCXnTWjRO7I0o8aqu92fiMjXRcUpIW+7d2MxA1UXvPPG3awERwnavtJmmN0YfF08r4b6j0ENjRiBgYGYPn26tH3s2DGXsiF3mJkQgHHRjrvx7x6qhGWAJWMpox1fbmsqLWisZ3tnTzMYDNi0aZO0wKZWq8UVV1wBedun8+Yz9TjsVKJwz9RoBHSxJg3Q3vHMKUuTrIJ/ALM0RDS8KRQCouO8vwRtalwAlDJ72YTeZMOJyha3nds5U8NmAQPDoIZGlMmTJyM42N6pbDCaBgiCgHunRqHtvQ+ljSZsyqsb0DnDIuQIDnV8wWW2xrNEUcSWLVukCZ2CIODyyy9HQIC9Q05pownvOZUeTovzx9ykwE7P1a5DliaLWRoiGhlinUrQKry0BE2rlGFynFMJmhu7oDk3CzAajWhsbHTbuUcaBjU0oigUCpemAWVlZcjNzXXra6SEarAkLUTa/vfxajQa+p9SFwTBJVtTWmiC0eC+7ivUN/v370dhYaG0PWvWLCQkJAAALDYRf9lVBmPbh3KQWo6HZsZ2uSYNAFgsInJPOK1LwywNEY0gUbFKyO2V4bBYfKMEbU9Jk1sW2gYAjUYj3WwFOK9mIBjU0IiTnJyM1NRUaXswmgbcNjECfkr7r5feZMNHxwZW5haXoIRaY/9ibLMBhee8M0U/3BUWFrrMxUpNTcXUqVOl7Y+PV+NMjSNAeWhGDEK1im7PmZ9rhKHV/uEokwGjmaUhohGkQwlakXd+vk3XBaC9eWWDwYrT1a1uO7fzvBp3r6U3kjCooRFp3rx50vyHlpYW7N27163nD9EocMv4CGl7y9l6nK8zdHNE9+RyAcnpji+7588avXKhsuGsoaEBW7ZskbaDg4OxZMkSKQtzuqoVn52skZ5fnBaMGQndl50ZWm04e9rx7yJltBp+zNIQ0Qjj0gWtzAyrxfs+3wLVcox3mjPrzi5o7IDmHgxqaEQKCgrCtGnTpO2jR4+ipqammyP67srRoYhrWzneJgLvHBrYBMCkNBVkbb+xRoOIsmKzO4ZJvWAwGLBhwwYYDPYARC6X48orr4RabQ80W802/GVXGdqrEWIClLhnalRXp5PkHjfA2lZpoVILGJXJLA0RjTzOJWhWC1B5wTs/32Y5LcS5p6jJbXNy2SzAPRjU0Ig1depUadGrwWgaoJQL+OkUxxvVsQst2FfS/xbPao0MukSVtJ2fZ+Qb3xCwWq3YtGkT6uocDR8WLVrkMrnznYMVuNBs/xCWCcBjl8TBT9l9xqWhzoqiAkeZxeixGihVfEsmopFHLhcQo3MuQfPOoGZGfGD70nGoarHgbG3/KzCcOX+emEwmNDQ0uOW8Iw0/QWnEurhpQGlpKfLy8tz6GtN0/pgU6+iY8u6hSpit/Z/knzLaEdQ01FlRV832zoNJFEVs374dJSUl0mPZ2dnIyMiQtveWNGHrOccH0LKx4ciI1PZ43lNHHfXYAYEyJKWpujmCiGh4i0twvAdWlJlh8cIStFCtAplO7+/u6oKmVqsREhIibXO9mv5hUEMjWkpKCpKTk6XtH374ASaT+yYpCoKAe5xaPF9oNuPL3P63eA4OVSA8yjHxPP8M2zsPpgMHDiAnJ0faHjNmDGbMmCFt17Va8NqeC9J2epgGNzvNpepKZbkF1RWODj9Zk7SQybrukEZENNxFxiigaEvWWK1AZbl3ZmucS9B2F7uvBM25WQDn1fQPgxoa8ebPny81DdDr9di3b59bz58YrMYVo0Kk7Y+P16Cyuf9v1imjHHezLpSYpfVNyL1yc3Oxe/duaTsuLg6LFi2SGgOIoohX95Sj0WjPlqnkAh6bHQtFD8GJzSbi1BFHliYiWoGo2O47pBERDXe+UoI2M94R1JQ1mVHc4J4boRfPq6G+Y1BDI15wcLBLW94jR464vWnArRMiEdg2X8JgseHVPeWw9fPuTkycEn7+9nOJor0TGrlXWVkZtm7dKm2HhITg6quvhkLhCD42n6nHwTK9tH33lCjEB/U80b/wnAnNTY5AdOwkbbfr2BARjRQuJWjlZljM3leCFhWgRFqYRtre5aYuaGwWMHAMaogATJs2TWoaYLPZ8O2337r1DSVQLce90xyp5WMVLfg6r75f5xJkgku2puicyStrj31VfX09Nm7cCJvNHnhoNBpce+210GgcH2KljSa8d8hxJ21qnL9LNq4rZpMNeScdE0sTU1UICmELZyIiAIiMdpSg2az2wMYbXeK8EKebghrnZgFmsxn19fVuOe9IwqCGCPamAXPnzpW2S0pKcPr0abe+xvzkIMxKCJC2/3m4EmWN/UtbJ6SopfaXZrOIkvPeuViZr2ltbXVp3SyTyXD11Ve7TOC02ET8ZVcZjG3rBAWq5XhoZmyvsi1ncowwGe3HyRXAmHGaHo4gIho5ZHIBsTrHTTuvLUFLdHyWF9QZUd408M9glUqF0NBQaZvzavqOQQ1Rm9TUVCQlJUnbO3bscOudEkEQ8EB2DILV9jvzJquIVbvLYbX1PcuiVAlITHG88RewvfOAWSwWfPXVVy7XfMmSJYiLi3PZ75MT1ThT48i2rJgRgzBtz3Ni9M1WFOQ5SgXTMzTQaPkWTETkLC7RMa+m0ktL0OKD1EgIdnwGu2shTudmAZxX03f8RCVqIwgCLr30UqhU9jcqs9mMTZs2wWKx9HBk74VoFPh5doy0nVvdivU5tf06V8oox/yN5iYbqi64b5wjjSiK+O9//4uysjLpsVmzZmHMmDEu++VWt+LTE475VotSgzHLqQyhOznHDGiraINGKyB1DBfaJCK6WES0AkqVPfNtswEXyrwzWzNrEErQ2CxgYBjUEDkJCgrC4sWLpe3q6mr88MMPbn2NWYmBWJAcJG2vPlaNwvq+T/b3D5QjOs6pvXMeGwb01zfffIPc3FxpOzMzE9OmTXPZp8VsxSs7y9CeWIsOUOLeaVHojdoqC8qLHR/MmRO0UCjYHICI6GIymYBY5y5oxd5ZXu0c1ORWG1DdMvDgyzmoqaqqkuZ2Uu8wqCG6SHp6OiZMmCBtHzt2DGfPnnXra9w3LVoqWbLYRKzaVQZLP8rQUkc77vZXXbCgqZGLcfbV4cOH8c0330jb8fHxWLhwocscGZso4pWd5bjQ1opbJgCPzYqFn7LnSf6iKOKkUwvn4FA5dEnKbo4gIhrZYp1K0KrKLTCbvK8ELSVUjZgAxzj3FjcP+JyRkZHSZ4/ZbEZdXf/XtRuJGNQQdWLOnDkunUi2bduGhoaGbo7omwC1HA/NcJSh5dcZ8dmJvreRDo9SIDDY8Wt87jSzNX1RVFSE9evXS9uhoaG48sorpXWL2q05Vo39pY4PrGVjw5EZ5der1ygrMqO+1hFsjp3MFs5ERN2JiPL+EjRBEDAzwXUhzoFSKpUICwuTtlmC1jcMaog6oVAocMUVV0CptN+FMZlM2Lx5M6xW92VCpuoCsDQ9WNr+5EQ1zjpNQO8NQRBcsjUl501oZramV4qLi7Fx40bpmmq12g6tmwFgZ1EjPnEKOKfr/HHrhIhevYbVIiLnmCNLExOvRHgkF9okIuqOTCYgNt6RBSn3gRK0k5UtaDAMfG4r59X0H4Maoi6EhIRg4cKF0nZFRYXLCvPucPeUKET529+4rSLw191lMFn7VkMbn6yCf4BjMc7cE30LjEai0tJSfPnll1ITCJVKhauvvhrBwcEu+52vM+Cvu8ql7fggFR67JA6yXmZa8vOMaG2xl00IMiBrAls4ExH1hksXtAsWmEzeN79kdIRGKiW3icC+koGXoDGo6T8GNUTdGDNmDMaOHSttHzp0CAUFBW47v59SjkdmOcrQihpMWHOsuk/nkMkEl/VOyorNaKhjJ7SulJWVYcOGDVJAo1QqcccddyA2NtZlv0aDBc9/WyqtR+OvlOHJ+fHwV/VusUyjwYYzOY4AMyVdDf9ALrRJRNQb4ZEKqNT2G0iiDbhQ4n0laDJBwEyn9efcUYLGZgH9x6CGqAfz5s1zqXHdunUrmprc074RAMZH++OaMY4Ft9aeqkVOVUufzhGXqESQ09ya08eZrelMeXk51q9fD7PZ/uEol8txxx13ICUlxWU/i03En38oQ6Xevp8A4Jez46ALUl18yi6dPm6AtS22VKoEjBrLFs5ERL0lkwmIS3Bka0oLvS+oAVxL0I5e0ENvGlgJuHOzAIvFwmYBfcCghqgHSqUSV1xxBRQKe4rZYDBgy5Ytbr17cuekSMQF2r8wiwD+urscBkvvzy8IAjImaKXtynILaqqYrXF24cKFDgHN1VdfjdTU1A77vneoEscrHIHlXZMiMVUX0GG/rtRWW1CU76gBHz1WA5WKb7dERH2hS3LcSKqutMDQ6n1Zi7FRfghsW1TbYgMOlA6sBE2hUCA8PFzarqioGND5RhJ+yhL1Qnh4OBYsWCBtl5WVYe/evW47v1ohw8pLYiFrm6pR3mTGvw73rZY2KlaB0HBHedPp460QRe9rg+kJlZWVWLduHUwme6Ahk8lw1VVXISkpqcO+287VY2Ou487YvKQg3JAV1mG/rlitIo7scwREAYEyJKf3PsNDRER2oeFyaP0dX1VLi7yvYYBcJmBGvHMJGufVeAqDGqJeyszMdFlhfv/+/W5dv2ZMhBY3ZDq+PH+VV4+jF/S9Pt6erXHMramtsqLqArM1VVVVWLt2bYeAJjk5ucO+udWt+Ns+x12x1FA1HpoZ06cWzHknDdA3Oe4mTsz2g0zGFs5ERH0lCAJ0ib5VgnaorBnGPlRadMY5qGGmpvcY1BD1kiAIuPTSSxESEiI99tlnn7l1fs2tEyKQFOyYe/Hq7nI0G3tfnxsRpUREtKNlcM4xw4jO1lRXV2Pt2rUwGu3r98hkMlxxxRUd5tAAQE2LGS9+VyotghqsluPJ+fFQK3r/Nllfa3FZKyh1tBphEWzhTETUX/FOJWgNdVavXGR6YowftG2fFUariEPlvb8h2Zno6Gjp5+rqarcuJzGcMagh6gOVSoUrrrhCWpxRr9fjs88+c9v8GqXcXoYmb7uxX9ViwZ9+cHzR7o1Mp2xNY70V5V7YMWYo1NTU4IsvvoDBYG+aIAgCLr/8cqSlpXXY12ix4cXvSlHXas9syQXg/83TIdJf2WHfrtjays7aY0i/ABnGjGcLZyKigQgMliMoxFFaXVrofSVoSrkM053mXe4uGtjNzvDwcMhk9q/oVqsVtbW1AzrfSMGghqiPIiMjMXfuXGk7Pz8fe/bscdv5U8M0uG1CpLR97EIL/r6/otcZl5AwBWKcFi07fdwAWx+CouGgtra2Q0Bz2WWXIT09vcO+oijif/57BmecFj69b1o0xkb59ek1z+QY0dTgVHY2XQuFgmVnREQDpUtyLUHzxgqEmYmOoGZ/aTPM1v6P8eJmAZxX0zsMaoj6Yfz48S5fkA8cOIADBw647fw3jg3D3CRHje6Ws/XYcLr3bR0znNat0TfZUHLe++5sDZa6ujp88cUXaG1tBWAPaJYuXYrRo0d3uv8nR8qwKcfxgXFZegiuGB3a6b5daay3uqxJk5SmQkRU77M8RETUNV2iowStRW9Dfa33lWNNjQuAqq3MosVsw/GKgZWgsVlA3zGoIeoHQRCwaNEiREY6Miq7du3CkSNH3Hb+h2fGYkyEIzh571Al9pX0LqUdGCxHfLLjS3XeSQOsA7hr5CtKS0vx6aefoqXF0X1s8eLFLg0enB0obcZr3+VL21mRWtw3LbrTfbtis7WVnbUlabR+ArImars/iIiIek3rJ0N4pHeXoGkUMkyO9Ze2dw2wBM15Xg2Dmt5hUEPUT2q1Gj/5yU9cFub87rvvcOLECfecXyHDk/PiEeVvn2guAnh5ZxkK6nq3sOaYsRoIbb/hrS0iis5534eAO+Xk5GDt2rVSyRlgD2gyMzM73f9QWTNe/K4U7bFehJ8C/2+uDkp530rG8nONaKhz3DWcMM0PCiXLzoiI3Ml5zZrSIrNXllVfkuiosNhb0gzrAMbonKmpqqpis4BeYFBDNABBQUG4++67ERjoeCPbvn07cnJy3HL+EK0CTy9IkLqqGCwi/rCjBLWtPbdq9guQIynV8SGQd8oAi9n7PgQGShRF7NmzB1u3bpUaNsjlclx++eXIysrq9JhDZc144VtHAwY/lb3TWYi2b53KmhutyD3hCKISUlSIimXZGRGRu8UmKKUbdSajiOoK71uyYJouQGr002i04lRVS/cHdCMsLExqFmCz2VBTU+OOIQ5rDGqIBigkJAQ33HAD/P0daedt27YhLy/PLedPClHjV3PipIU5a1oseH5HSa/64I/K0kDWlrE3GUUUnDF2f4CPsVgs2LJlC/bt2yc9ptFo8KMf/ajLOTSHy/V44dtSmJ0Cmr9cPw5pYX3rVCa2lZ21N75TawRkTWK3MyKiwaBSyRAV67jx5I0laAEqOSbEOL4L7B3AQpwKhQIRERHSNkvQesaghsgN2gMbrdY+l0IURfznP//BuXPn3HL+qboA3DPVkYo+W2vAqt3lsPXQAUajlSF1lGPdm7OnDTCZ3NN+2tNaWlqwdu1al+AxNDQUN998M2JjYzs95ki5Hi98WyIFNBqFDH+5fhzGxwX1+fULzppQV+NadqZS8S2ViGiwOK9ZU15qhsXifdUHMxMcXdD2FDcNqFMbmwX0DT+BidwkLCwMN9xwAzQa+916m82Gr7/+GoWFhW45/9VjwnDl6BBpe1dRE1Yfre7xuLQMNRRtFVEWM1wWh/RVtbW1+OSTT1BeXi49lpCQgOXLlyM4OLjTY45e0OP5b0tgsrYHNAJ+f2l8vwIafbMVp4+1SttxiUrE6Fh2RkQ0mKJjlVC0JWusFqCizPvWYcuOD0T7rMqqFgvy6/r/mesc1FRUVAxwZMMfgxoiN4qIiMD1118Plcp+N8lms2Hjxo0oLi52y/nvnRrt0l3ls5M12J7f0O0xKrUMaRmOsqiCPCMMrb6brSkuLsann36KxsZG6bGsrCxce+21UKvVnR5z7IIef9zhGtD89tIEZPZxLRrAnoU7tr8V7XM2VWoB4yaz2xkR0WCTKwSXddi8sQQtTKvA6AjHZ8Ke4v53QXPugFZTUwOLxfvmEXkTBjVEbhYVFYXrrrsOSqX9jddqtWLjxo0oKysb8LnlMgG/mhOHhGBHCv71veU4Wdn9ZMTUUWqo1ELbeIAzp3rXQc3bnDp1CuvXr4fR6LjzNXv2bCxatAhyubzTY45X6PEHp4BGLRfw2wUJfV5cs11RvgnVlY4PlnFTtFBr+FZKRDQUnEvQKsstMBm97yadcwnaQObVhIWFSZ9tbBbQM34SEw2C2NhYXHvttVC05cnNZjM2bNjglvSxv0qOZxbEI1htf6Oz2IAXvytFeVPXd6wUSgGjshzZmsJ8E1r0vtMeUhRF7Nq1C9u2bXPpcHbllVdi6tSpEITOWyifqGjBH765KKC5NAFjo/sX0LS22HDqiKPsLEanRFwCy86IiIZKRJQCao39PV8UgbJi7ytBmxnv6Iha2GDs9vO5O3K5nM0C+oBBDdEg0el0uPrqq6W7LCaTCevWrUNVVdWAzx0doMJv5uugbGuJ1mS04o87StBk7DpQSUpTQePX9kFgA04f941sTUtLC7766iscOHBAeszPzw833ngj0tPTuzzuZEULnvumGMa2gEYlF/D0gniM62dAI4oijh1oQXv2X6kUMH6qtsuAioiI3E+QCS43k0qLvK8ELS5IhUSnioqBlKBxXk3vMaghGkSJiYm48sorpV7zRqMRn332mVvaPWdG+uHhmTHSdkmjCb/ZWoiK5s7f4OVyAWPGOrI1pYVmXCj1vjtczs6ePYvVq1cjPz9feiw8PBzLly9HTExMl8edqmzBcztcA5pnFsS7tNrsq/xcIyrLHWVnYydrodHyLZSIaKg5l6DVVlnRovfGEjRHtmbPAErQnOfVMFPTPX4iEw2ylJQUXH755dIdfbPZjM2bN2P79u0DnvQ3PyUYt4wPl7aLG0z49ZZCnKlp7XT/+GQVgkMdc0+O7m+B0eB9HwYGgwFbtmzBpk2b0Nrq+LMkJSVh2bJlCArqumPZ8Qo9nv2mBAaLI6B5av7AAprKcjNOHXNktiJjFIhPZtkZEZEnBIfJ4R/g+Apb5oXZmhlOJWi51a2o68Wi2Z1xztTU1tayWUA3GNQQDYH09HRceeWVUvMAADhx4gQ++eQT1NbWDujct4yPwPJxjsCm3mDFU1uLsLeTdLdMJmDyTD+XBTmP7m8ZUB99dysoKMDq1auRm5srPaZQKDB//vxuO5zZRBGfn6zBb/9bDEPbwqRKmT2gmRTb/4CmucmKg7v1QNtfkdZPwOQZfiw7IyLyEEEQoEvy7i5oaWFqRPrZ59WKAPaV9C9bExYWJs3PtdlsqK7ueSmHkYpBDdEQSUtLw6233upy16W6uhoff/wxcnJy+n1eQRBw+8RIPDwzBvK279lGq4gXvyvFl6c7BkyBQXJkTXS0m6wos6C4wPMfCEajEdu2bcOXX34JvV4vPR4bG4vbbrsNEydO7DKQaGybU/SvI1VoW1cTSpmAJ+frBhTQmE0i9n+vh6WtSk8uB6bPCWC3MyIiD9M5laA1NtjQWO9dzW8EQcAMlxK0/s2rkclkLs0COK+ma/xkJhpCISEhWLZsGSZNmiQ9ZjabsXXrVmzduhVmc//nuCxOC8HvFibAT2n/tRYBvH2wEv84UAGrzTUTk5yuQmSMQto+cbgV+mbPfSAUFhZi9erVOHXqlPSYXC7HnDlzcOONNyIkJKTLY09XteKxTQU4WOYIhKL8FXhhSSKmxAV0eVxPRJuIQ3v0aG5ylOdNmuHnUr5HRESeERAod3k/9saGATPiHZ9Bxyr0aDH373OW82p6h0EN0RBTKBSYN28errrqKpdSqpycHPz73/8eUB/6iTH+eGlpkpTyBoCNuXX40/elUkkWYL+DNHG6H5SqtrVrLMDhPS0QbUNbhmYymbB9+3asX78ezc2O1Hx0dDRuueUWTJkyRWqycDFRFLE+pxZPbi1EdYujxni6LgCvXJHisvhZf5w+YXBpDDAqS424BFU3RxAR0VCKv6gEzZtKqQFgbJQfAp2WXzhQqu/hiM45V3gwqOkagxoiD2kvR3Pu4lVXV4d///vfOHHiRL/fnJNC1Pjz5clIC3N0Ottb0oyntha5TFTU+skwYarji39djRVnTxsxVIqLi/HRRx/hxIkT0mMymQyzZs3CTTfdhPDw8C6PbTZa8eJ3pXj3UCXaGpxBLgB3T4nEU/N10odIf5UWmnA2x/F3EaNTYsw4TTdHEBHRUItLVAFtVcmtLSJqq72rBE0uEzBd57QQZ0n/StAubhYwkKqO4YxBDZEHBQUF4cYbb8TUqVOlx6xWK7Zv344tW7bAZOpfOj1May+/cn4zPVtrwK+3nEdRg+PLelyiymWyZe4JAxrqBq+ziiiKKC4uxhdffIG1a9eisbFRei4iIgI333wzpk+f3mV2BgDO1LTisa/PY6/TpMtwPwVeWJKE6zPDBzyBv77WgiP7W6TtwCAZGwMQEXkhjVaGiChHZYI3NgyY6VSCdrBUD7O17x1HQ0NDpWYBoiiyWUAXGNQQeZhcLsfs2bNx7bXXQqNxZAPy8vKwevVqHDt2rF8tHDUKGX4zT4erxoRKj1XqLXhiSyGOXXCkwMdP0ToW5RSBQ3taYLW4N4UviiLy8/PxySefYO3atSgpKZGeEwQB2dnZuPnmmxEZGdntOb48XYsn/lOISr3jLtXUOH+suiIZGZEDKzcDAKPBhv0/6GFru9mnVAmYPtcfCiUDGiIib+RcglZWbIbN6l0laJNi/aFu6+LTarHh6IWWHo7oSCaTsQStFxQ979Kz/Px8HDt2DGfPnsWZM2dQV1cHpVKJ1atX9+t8er0en376Kfbt24f6+nqEhIRg+vTpWL58Ofz9+9/JiMibJScn47bbbsPmzZtRVlYGAGhqasKOHTuwd+9eTJo0CePHj3cJfHoilwn42bRoxAQo8e7BSogA9GYbfr+9GLdNiMQ1GaFQq2SYnO2H3TvsgU5zow05xw0YN3ngQYLNZsPZs2dx4MCBTu8sxcTEYP78+S6TIDujN1nx6p4L2O3UPUYmALdPjMSPssIgc0MWxWYVsX+nHoZW+weiIABTL/GDfwAbAxAReauYeBVkB1phs9k7VlZVWBAd5z3riKkVMkyJ88futgU495Y0YZqu701soqKipO8G7IDWObcENZ999hkOHDjgjlOhqakJTz/9NMrLyxEdHY3p06ejpKQEX3/9NQ4fPoznn38egYGBPZ+IyAcFBATgRz/6Efbt24f9+/dL82paW1uxe/duHDhwAOPGjcOkSZP69HtwbUYYIv2VeGVnGUxWEVYR+OBoFTbm1eHmceFYnBaC1NFq5OfZS9MK8oyIjlMgMrrzDwaxpgri4d2QLb620+etVitOnz6NgwcPor6+vsPzCQkJmD59OnQ6XbdlXc0mK77Oq8OXp+vQYHTUSodqFfjV7DiMjfbr9d9Bd0RRxPFDrahzqsfOmqTt8s9PRETeQakUEB2nRHmJPYNfUmjyqqAGsC/E6QhqmvHAdBFyWd9uxjFT0zO3BDWjR49GcnIy0tLSkJaWhp/97Gf9Ptf777+P8vJyZGdn47HHHoNcbr9L+u6772Lz5s14//338dBDD7lj2EReSSaTYebMmcjKysLhw4dx8uRJqfzMbDbj8OHDOHr0KDIyMjBlyhSEhYX16ryzEgLx/OJEPP9tCeoN9i/vda0WvLm/AutyarFcKEZAcwSaA+IBAEf2tmD+5YFQqVyrVMWaKthefgqougAb4BLYWCwWnDx5EgcPHnTpZtYuNTUV06ZNc2mO0Jn6Vgs2nK7F12fq0WJ2rT+eFOOHx2bHIUTjlrcvAEDO8QYU5TtqsRNSVEgZxU5nRES+QJfkCGoulJphMYteVTY8XRcAuQBYRaDBYEVudSuyovp2U845qKmrq4PFYpHm2ZCdW/42rr/+enecBvX19fj+++8hl8tx7733SgENANx5553YtWsXfvjhB9xxxx3drltBNBwEBQVh/vz5yM7OxtGjR3Hs2DEYDAYA9rKuU6dO4dSpU0hNTcXUqVMRGxvb4zlHR2jx6lUp+PxULb7KrYO5rYXzhWYz/g8xGCtrxiybFZDJYWgVceJgK6bMcpR8Ogc0iIyBMHkWmpubUVxcjKKiIhQWFkpjbCcIAkaNGoVp06a5LCDWmYpmE9aeqsV/8xtguqguWi0XsGxcOG7MCu/zHa7ulJe0YO/3VdJ2aLgc46dq2RiAiMhHRMUqoVQKMJtF2Kz2wCY+2XtuTAWo5RgX7SfNp9lb0tznoCYkJARyuRxWqxWiKKKmpqbH0u2RxqtCvMOHD0MURWRlZXUIWpRKJaZOnYpvvvkGR44cwYIFCzwyRqKhptVqMXPmTEyZMgWnTp3CoUOHXLIg+fn5yM/PR3R0NOLj4xEVFYXo6GgEBgZ2+sU8SKPA3VOicE1GKD45XoOt5+rRvjzNSVUA5GILsmEvbSstMiNaZ4IuUSUFNKaaKpTGj0LJzCUo3rQZdXV1nY5bJpMhIyMD06ZN6/EmRFGDEZ+frMF35xtx8VI5/ioZrhodimvGhCLIjdkZAGhusmLX9nK0d8/WaAVMm+0PuZwBDRGRr5DLBcQmKKWMe/F5k1cFNYC9BK09qNlT3ISfTI7s080zmUyG8PBwqfSsqqqKQc1FvCqoKSwsBACkpKR0+nxKSgq++eYbnD9/fghHReQdVCqV1CwgLy8PBw8eRG1trfR8RUWFy+RBjUaD6OhoREVFSYFOQIBjcmKEnxIPzojB9ZlhWHOsGt8V2tsrHxf1SBDViBXsHwiH9zbBWFeBio2rURIYj4rosbAJApCb1+k4FQoFxo4diylTpvQ47ye3uhWfn6xxac/cLlQjx7WZYbh8VAj8lO6frF9XbcHe7/Uwm+wRjUwGTJ/tD42WTSGJiHxNfLJKCmqqKyxo0dvg5+897+czEwLw9wP2z+gLzWYU1huRHNq39c8iIiKkoIZtnTvyqqCm/QJ1NUegfTE+XkgayeRyOTIzM5GRkYHz58/j4MGDUkcUZwaDAYWFhdLNAgDw9/dHVFQUwsPDIYoizGYzLBYLssxmxGuNKK1rRbPRhBrRBjMAiBbYbCbkl1uBwK7vCAUFBSExMREJCQlISEjo0KHNJoqobDajuMGEogYjihuMOF9vREFdx8U+owOUuCEzDIvSgqGSD84H0oVSMw7udrRuBoCJ0/0QEu5Vb4lERNRLYRFy+AfIoG+2z8MsOW/C6LHes2hyuJ8So8I1OFNjL9HeU9Lc56DGedkDfhfuyKs+wdtr8dVqdafPtz9uNPZ+1fNf/OIXHR5TqVR46aWXAKDHGv/B1j7Jq7v1Och7efr6RUVFITs7G6WlpSgoKEBpaSnKyspcMjjO9Ho9CgoKUFBQ0OnzCgAhbT93ty6zWVCgQRUORVgcouOTkBAfg+RwP6SG+8FosSG3tgX5NS04X9uCgrb/Gy3dLziWGu6Hu6YnYOHoSCjcOGfmYqdP1OPAznqp5EwmAxYsjUNyOtvF+ypP/x7SwPD6+T5vuYYZ4xQ4uKcGAFBaaMEl8yO8an7kojEGnNl1HgBwoLwVDy/s299Xeno6vv32WwBATU0NIiLc9+fzlms4EF4V1LS3r/Wmf4BEvkCn00Gn00nbLS0tKCsrQ2lpqfRfY2PjAF5BBo0qCqIyCvsU/qiWB9gXcjEByG8B8vP7feaxMYH4cXYCLklxz3ozXRFFEQf31ODYQcccIJVKhqXXxCMuwb9fC5wSEZH3SM8IwqG9NRBFoLnJggulrYiNd0/rf3eYlx6ON9uCmjNVepQ3GBAb3PtsjXPnUKPRiPr6eoSGhnZzxMjiVUGNVmtf7O/i7knt2jM0XWVyOvPKK690+3x1dbUUTHlCe0RcVVXVw57kjbz5+gUHByM4OBhZWVkA7FmayspKVFRUoLGxEQqFAgqFAkqlsuPPhhbI130IWX0tctKWwRg5EzLB/naxBFZ8ZalFY7e5nM5F+SuQEKxu+0+F1FANUkLVEAQbagYxlW6zijh6oAUl583SYxqtgBnz/BEVq4bFYvHKa0i9482/h9QzXj/f503XMDJGgcpy+02qY4croVB7TxbeH0B8kAoljfa5P5uOFeLajN4ty9AuKChIukmZm5uLtLQ0t4zNG66hIAi96uTaFa8KatpLwboqnampqXHZj4h6z9/fHykpKV024mhn73L2itS2OeHWGTh9VsC5tqk5/pDjdm0EYiepUGkzo7DBiKJ6I4oaTKhrtX+QRAcokRCkQmKII4CJD1JDqxz6SZtms4gDO/WornBkYgKDZZgxLwBaP++ZREpERAOXkKKSgpryEjPMJhFKlfdUAM2ID0DJKfv33D3FTX0OaiIiIqSgprq62m1BzXDgVUFNUlISAHRZ79/+ePt+ROReF69DI/vl8xDCI5EVAajVNTiVZ+9CZjYLKD1kwrTZAViSHiId32yyQiEToFF4R7BgaLVh73d6NNY7skrhUQpMn+0Hpco7xkhERO4THaeEUiXAbLKvWVNWbEJSWu8rfAbbzIRAfN4W1ORUtaLBYEFwH5YriIiIQH5byTebBbjyqk/1SZMmQRAE5OTkoKGhweU5s9mMgwcPQhAETJ482UMjJBq+ugpo2qVNDsfkcRYINvsdMKtVwL7vm1Fy3iTtE6CSe01A09RoxQ/bmlwCmrhEJWbM82dAQ0Q0TMnlAuKTlNJ2cYGpm72HXnq4BuFaexBjE4H9pR2XNOiO80R+byj38yYe+WTfvHkzVq5ciY8++sjl8dDQUMyePRsWiwVvv/02rFbHl5EPP/wQjY2NmDNnTo8L+RFR34mHd3cZ0LSLHxuB7KmA3Gqf3yaKAg7vbcG5053Pg/OUmioLdv63Ga0tjvlyaWPUmDLTjwtrEhENcwkpjoU362qsaGrs+xzQwSITBGTHO9aM21Pct6DGeQpGY2NjnzoCD3duKT87dOgQPv/8c5fHLBYLnnrqKWn7xhtvxJQpUwDYL0JZWVmnK5H/5Cc/wZkzZ7B3716sXLkSaWlpKC4uRnFxMaKjo/HjH//YHUMmoovIFl8LGwBh8qxOA5p2UaMjMEtZhX37TTCJ9g+OU0cNMBhEZE3UeLR7odUi4vw5I04fM8Dm1EF67GQtUkd7T/kBERENnuBQBYJC5FKmvrjAhKyJWg+PymFmQiC+PlMPADhSrker2dbrOadBQUFQKpUwm+2Nb2pqahAXFzdYQ/UpbglqGhsbcebMGZfHRFF0eay37WSDgoLw4osv4pNPPsH+/fuxb98+BAcH4/LLL8fy5ctdVkQnIveSLb62V/uFpkRidoQVe7/Vo0Vvjx7yc40wGmyYlO0H2SCuM9MZq0VEYb4JZ3MMMBoc2RmZDJg80w9xCapujiYiouEmMUWFE4dbAdgX4swYrxnyz6aujIv2g79KBr3JBrNNxKHyZsxODOrVsYIgICIiAuXl5QDsJWgMauzcEtQsWLAACxYs6PX+y5cvx/Lly7t8PiAgAD/96U/x05/+1A2jcz93toBuP5cn20pT//ny9RtoRiUgUI7ZiwJcJuKXFpphbNVjzDgNQiPkg561sVpFFJ7rGMwAgFIlYPocf4RHelU/FCIiGgK6JCVOHW2FzQYYDSIqyy2I0Sl7PnAIKGQCpscFYMd5+w3/vcW9D2oAuAQ1bBbgwE/7XrJYLGhtbYXJZHLrF9j2EjybrfvV1sk7+fL1EwQBKpUKWq1WWkm4rzRaGS5ZGIADP+hRXWlvIFBdaUH19mYEBMmQmKpCfJIKao17p+9ZrSKK2jIzhlbX30eZHEhKUyM9Qw2Nlg0BiIhGIpVahmidEuXF9jKt4gKT1wQ1gL0ErT2oOVDaDLNVhLKXcz6dmwUwqHFgUNMLFosFDQ0N0Gg0CAkJgUzmvi9K7V8muZq5b/Ll62ez2WAwGNDQ0IDg4OB+BzZKpYDsef44srcFZcWOxS2bG204dcSAnGMGxOqUSExVISJaMaDsTbfBjAxISlMhPVPDYIaIiJCYopKCmooyM4wGm9tvsvXX5Dh/qOQCTFYRerMNJytbMCm2dwuFOjcLqKmpgc1mc+t3U1/FoKYXWltbodFo4O/v/lVp27/geXJyNfWfL18/uVwu/ZtubW1FYGDgAM4lYMosP8QmmFF4zuSy0KVoA8qKzSgrNkPrL0NiigoJKapeLXwpiiKsFsBksqGy3IIzpxjMEBFR70RGK6DRCjC0ihBFoKTQhLQxGk8PCwCgUcgwKdYf+0rs3c/2FDf1OqgJDw+HIAgQRREWiwX19fUIC+vbIp7DEYOaXjCZTGwjTcOWWq3usC5UfwiCgLgEFeISVNA3W1GUb0Jxgcllrkur3obcEwbknjQgOlaB6DglrFbAZLTBZBRhNokwGUX7dtvPXVX2yWRAYqo9mOlNgERERCOLIBMQn6zC2Rx72+PiAhNSR6u95kbkzPgAKajZV9KMn00XIevF2JRKJUJCQqQS+OrqagY1YFDTI1EUIYoi03o0bMnlcunfubve6P0D5MicoMWYcRpUlltQlG9ERbkFaI9vRKCizIKKsr6X7TGYISKi3kpIcQQ1TQ02NNRZERLmHV9/p+sCIBPsi3DWtFpwrtaAUeG9az0dERHhEtSMHj16MIfqE7zjqhLRsCSTCYjRKRGjU6K1xYbi8yYU55ukNtB9oVILiI1XYlQWgxkiIuqdgEA5wiLkqK22d+ksyjd5TVATpFEgI0KLU1X21tN7i5v7FNS0L53CZgF23nFViWjY0/rJMDpLg1GZalRXWFB83oSWZhuUKgEqtQCVSmb/v7rjtlIleM36AkRE5FsSUlSorbYHDmVFZoydJEKu8I7PlJkJgY6gpqQJd0zqevFrZ84d0KqqqgZlbL6GQQ0RDSlBEBAZo0RkjPe01iQiouErLsG+EKfVApjNIi6UmqFL8o5FmbPjA/DuoUoAQFGDCeVNJsQG9jw25w5oer0era2t0Gp7l+UZrljDQf2i0+lc/ouPj0dmZiZuuOEGfPTRRwNey+fll1+GTqfDxx9/7KYRExER0UikUNob2bQrKjB5cDSuYgNVSApWS9vtjQN64u/vD43G0cmNJWgMamiAbrrpJtx000244YYbMGrUKOzfvx+/+tWvsGLFCk8PTbJy5UrodDrs2rXL00MhIiIiD0hIcQQ11RWWfs3tHCzZ8QHSz3uKm3p1jCAILtkalqAxqPE4y3/WQayp7HE/saYKtm0bhmBEfbNq1SqsWrUKr776KjZs2ICPPvoICoUC69evx9atW/t93rvvvhvffvstrrjiCjeOloiIiEaisAg5/AMcX3tLzntPtmZGgiOoOV3dikZD7zqDOs+rYaaGQY1H2bZtgHXN32H60xMQa7qOsMWaKthefgrix297ZWDjbN68ebjxxhsBAFu2bOn3ecLCwpCeno6goCB3DY2IiIhGKEEQXLI1xQWmAZfKu0tamAbhWvs0d5sI7C/tXQmac6aGQQ2DGo8SJs8CImOAqgv2oKWTwKY9oEHVBSAyxn6Mlxs3bhwAoKyszOXxzz77DNdffz3GjBmDtLQ0LF68GK+++ioMBkOHc3Q1p2bZsmXQ6XQoLi7G5s2bcfXVVyM9PR1jx47Fgw8+2OE1dTodPv30UwD2UjnneUDFxcXu/GMTERGRF4tPVgFtTc9a9DbUVPV9rbTBIBMElxK0vb2cV+Mc1NTW1sJqtbp9bL6EQY0HCeGRUP2/l7oMbC4OaGS/fB5CeO9a/XlSc7P9l1GlctwR+fWvf41HH30Ux48fR3Z2NhYtWoSKigq89NJLWL58OVpbW/v0Gu+//z7uu+8+AMCll14KPz8/rF+/vsO5brrpJiQnJwMAFixYIM0Buummm+Dv7z/APykRERH5Cq2fDJHRjsa/xV7UMMA5qDlcrofR0vOcn7CwMGlxeJvNhtra2kEbny9gS2cPE8KjoPp/L8H0pyekwEb2y+cBwCcDGlEUsW3bNgBAZmYmAOCrr77C6tWrERMTg88++wwpKSkAgKamJtx1113Yt28fXn75ZTz99NO9fp33338fa9aswZw5cwAAra2tuOWWW3DgwAGsX78et9xyCwD7nJ+VK1fi/PnzWLFiBS655BJ3/nGJiIjIhySmqlB1wZ6hKSs2Y9wUEUql59esGR/tDz+lDC1mG0xWEUfK9ZiRENjtMXK5HGFhYVLpWXV1tcs8m5GGmRovIIRH2QOZ9ozNU/fD9tT9PhXQWK1W5Ofn4xe/+AUOHjwItVqNm2++GQDw7rvvAgB+9atfSQENAAQGBuKFF16AIAj44IMPYDL1/o7JfffdJwU0AKDVanH//fcDAPbs2eOOPxIRERENM9FxSihV9iDGZgXKirwjW6OUC5gS56gg6U8J2kifV8OgxksI4ZH2wEauAKwW+39yhdcHNO3zUxITEzF37lx88sknCAgIwOuvv47k5GSYzWYcOnQIgiDg+uuv73B8ZmYmMjMz0dzcjFOnTvX6defPn9/hsdTUVABAZWXP3eSIiIho5JHLBcQnORZ/Lsr3jqAGAGbEOzIz+0ubYbX13MiAQY0Dy89oQG666SYAgEwmQ0BAADIzM3HFFVcgJCQEAFBXVweTyYSoqCiXRaKcJSQk4NSpU6ioqOj168bGxnZ4rH2OTF8yPkRERDSyJKSoUXDG/l2hvtaK+loLQsI8/5V4apw/FDLAYgMajVacrm7F2Ci/bo9xLjerqqqCKIoQBM+X03mC568gAXBqCtCWoQEAWC3SHBtvzdasWrWqV/v15hesL7+EI/UXloiIiAYmOFSO0HA56mrs3cLOnzFh0gzPfyX2V8kxLsoPRy60AAD2lTT3GNQ4Z2oMBgP0ej0CAgK6OWL4YvmZFxBrKl2bAjz/FmTPv9Vju2dfEBoaCpVKhcrKyi47nJWUlAAAoqKihnJoRERENEKljFJLP5cWmWA09txtbCg4NwfYU9zU41o6Wq3WpZvrSC5BY1DjYWJNpdT5zLkpgDTHxscDG6VSiSlTpkAURaxfv77D86dPn8apU6cQEBCArKysQRlDe2tpi8U7+tETERGRZ8XGK6HWtDUMsAHFXjK3xrm184VmM4obeh7XxSVoIxWDGg8Sa6o6DWjaDZfA5u677wYA/O///i8KCwulx5ubm/H0009DFEXccccdLuvauFN0dDQAID8/f1DOT0RERL5FJheQlOb43nH+rBFiLybmD7YIPyXSwhxzkPeWNPV8DJsFAGBQ41Hi4d09tm2+OLARD+/2wEgH5uqrr8btt9+O8vJyLFy4EHfddRfuv/9+XHLJJdi9ezemTJmCxx9/fNBef8mSJRAEAc899xx++tOf4vHHH8fjjz8+4hepIiIiGsmS0tRon6Lb2iKiotw7KjpmOmVretPamUGNnednRY1gssXXAjIZ5FMvgTU4rMv92gMb8fBu+zE+6M9//jOys7PxwQcfYM+ePbBarUhKSsK9996L++67D1qtdtBee8KECXj11Vfx1ltv4dtvv4XBYAAAPProowgL6/rvnYiIiIYvjVaG2HglyorNAICCM0bE6JQ9HDX4suMDsPqYPTg5U2NATYsZ4X5dj8s5qKmvr4fZbIZS6fk/x1ATxJ5mIA1z5eXl3U7CEkURNTU1CA8PH5SOWwqFPa7kfA/fNByu32D/G/d27bXII7kO2dfxGvo2Xj/f58vXsKbKgl3bHdmQBVcEIjBI7sER2T+X79+Qj4pme7D1wPRoXDE6tMv9bTYb3nzzTem7yPLlyxETE9On1/SGaygIQqdLdvQWy8+IiIiIaEQKi5AjMNjxdbjwrNGDo7ETBAEz+lCCJpPJEB4eLm2P1BI0BjVERERENCIJguDS3rm4wASL2fNFTDPiHa2dj1fo0WK2drs/59UwqCEiIiKiEUyXpIKibQqKxQKUnPd8e+fMSC0C1fYyOIsNOFSm73Z/BjUMaoiIiIhoBFMoBCSmOLI1BWeNPS56OdjkMgHTdY5FNfcWd1+CdvFaNZ4evycwqCEiIiKiES053bFmTXOjDTWVnm8AlO1UgnawrBmWbtbRcZ5TYzab0djYOKhj80YMaoiIiIhoRPMPlCMq1rHSScEZz5egTY71h0pu70qqN9twoqKly33VajWCgoKk7ZFYgsaghoiIiIhGvOR0RwnahTIzWvQ2D44G0ChkmBjjVIJW0tTt/heXoI00DGqIiIiIaMSLilXAz7/tq7EIFJ7zfHvni1s7dzdXZqQ3C2BQQ0REREQjniAILnNrivJNsFo9O+F+enwA2pfFrmmx4Fxt14EWgxoiIiIiIkJCigoyeydlmIwiyorNHh1PiEaBjEittN1dCZpzUNPY2Aij0fOZpqHEoIaIiIiICIBKLUN8kiNbc/6M5wMD5xK0fSVdt3YOCgqCSuUY+0jL1jCoISIiIiJq41yCVl9rRV2NZ9s7z3Bq7Xy+3oiK5s47swmCMKJL0BjUEBERERG1CQ5VICxCLm2fP+vZbE1ckArxQY5Aa2832RoGNUREREREBABIHuVo71xWZIbR4Nn2zjMTHNmavcW9m1cz0to6M6ihftHpdNDpdMjKykJDQ0On+7z88svQ6XR47bXXhnh0nlNcXAydTodly5Z5eihERETUT7E6JdQae98xm83eCc2Tsp3m1ZyqakWj0drpfs5r1dTU1MBm82wwNpQY1NCANDQ04B//+Megv86MGTOg0+kG/XWIiIiIZHIBSWmOkq/Cc0bYbJ5r7zwqXINQjb0kziYCB0s7L0ELDw+HINiDMavVivr6+qEaoscxqKF+k8lkUKlUePvtt0fULw0RERENf0lparTFB2htEVFR5rn2zjJBwHTnLmhdBDUKhQIhISHS9kiaV8OghvpNqVTi1ltvRVNTE/7+9797ejhEREREbqPRyhAbr5S2z5/1bAmacxe0Q2V6mK2dl5Y5l6CNpHk1DGpoQB5++GGo1Wq88847qKur69UxFRUVeOONN3DjjTdi6tSpSE5OxqRJk3DvvffiyJEjLvvu2rULOp0OJSUlABxzeXQ6HWbMmCHt1115Wvs5Vq5c6fL4ypUrodPpsGvXLuzYsQPLli1DZmYmdDqdNE9o7969eOqpp7B48WJkZWUhLS0N8+bNwwsvvNDlXCIiIiIaHpwbBlRXWFBf67n2zhNi/KCW21NHBosNxy60dLrfSO2AxqCGBiQ2Nha33XYbmpub8dZbb/XqmC1btuD555/HhQsXkJGRgcsuuwzR0dH4+uuvcf311+Pbb7+V9o2KisJNN90EPz8/AMBNN90k/XfVVVe55c+wbt063HHHHWhtbcWll16KSZMmSfWof/jDH7BmzRoolUrMnj0bs2fPRnNzM15//XXccMMN0Ov1bhkDEREReZ+wCDmCQx3tnc/meK69s0ouw+Q4f2m7qxK0kRrUKDw9AF8miiL05oF1lVDY7F+eLZbOu1gMBn+lTPrS7g4PPfQQ1qxZg/feew8/+9nPEBYW1u3+06dPx9atW5GVleXy+I4dO3D33XfjySefxA8//ABBEJCeno5Vq1Zh9+7daGlpwapVq9w27narV6/GG2+8geuuu67Dc4899himTp3qUp9qNBrxzDPPYPXq1XjzzTfxy1/+0u1jIiIiIs8TBAGjstQ4sNOeFSkvMaOpwYrAYHkPRw6OGfGB2FNsD2b2lTTj/ukiZBd9p3MOavR6PVpaWqSbw8MZg5oB0JttuP3TM54eRp+tvmkUAlTu+2WMiYnB7bffjnfeeQdvvfUWfvOb33S7f2ZmZqePL1iwAFdffTW++OILnD59usv93G3RokWdBjTtz11MrVbj2Wefxccff4zNmzczqCEiIhrGYnRKBAbJ0NRov5F9JseAKTP9ezhqcEyL84dMsHdAq2214FytAaPCtS77+Pv7Q6PRwGAwALC3dmZQQ9RLK1aswOrVq/Hee+/h/vvv7zFbYzQasWPHDhw+fBi1tbUwmeyT73JycgAABQUFQxbULF26tNvny8vLsXXrVpw9exbNzc1Sz3elUon8/PyhGCIRERF5iD1bo8GhPfZsTWmRGWPGWuEfOPTZmiCNAhkRWpyqagVgz9ZcHNQIgoDw8HCUlpYCAGpra5GQkDDkYx1qDGrILaKjo3HHHXfg7bffxt/+9jc89dRTXe6bk5ODu+++G8XFxV3u09zceZ3oYOhu/Zu33noLL730khR0ERER0cgTl6BE7gkZ9M02QLTPrZmY7Znsx4yEACmo2VvSjNsnRnbYxzmoqampGdLxeQqDmgHwV8qw+qZRAzqHQmG/BBbL0HXT8FcOTn+IFStW4MMPP8Q///lPPPDAA53uI4oiHnjgARQXF+POO+/EnXfeiaSkJPj7+0MQBLz44ot47bXXIIruW+Cqp9V01Wp1p48fPHgQzz33HIKCgvCnP/0Jl1xyCSIjI6X9p0yZgoqKCreNk4iIiLyTIBOQnqnG0f32YKL4vAmjxmrg5z/0PbeydYF475C9VXNhvREVzSZEB6hc9nGumGFQQz0SBGHAc1MUCvvxFpnnVql1l6ioKNx11134+9//jjfeeKPT+s2zZ8/i7NmzmDhxIl566aUOzxcVFfXrtZVKex95vV4Pf3/XOteysrJ+nXPz5s0AgF//+tdYvny5y3Otra2orKzs13mJiIjI98Qnq5B30oDWFhGiCJw7bcD4qUOfrYkLUiE+SIWSRnsVyb6SZlyT4Vr2Hx4eLv1cW1sLURTd2iTKG7GlM7nVihUroNVq8f7773e64FN9fT0Aeyvozp777rvvOj1ve9DSVUYrOjoaADqd49LVOXvSvg5NXFxch+c2btzo1mwSEREReTeZTEB6pkbaLso3wdA6sC64/ZUdHyD9vK+kY8m+c1BjNBpHxBIUDGrIrSIiIvDjH/8Yra2t+PTTTzs8n5KSAplMhp07d7oEIAaDAU888YQU9FwsJiYGAHDu3LlOn585cyYA4NVXX4XV6miP/fnnn2P9+vX9+rOkpqYCANasWQOz2Sw9npeXhxdeeKFf5yQiIiLflZCiglpjz3jYbMC5XM+sWzMjPlD6+URlC5qNrkuDaDQal4qZ2traIRubpzCoIbd78MEH4efnJ7USdBYREYFbb70VTU1NWLJkCe666y787Gc/w8yZM7Fz584OZV7tlixZAgC4+eab8eCDD+Lxxx93CSx+8pOfIDw8HF999RUWLFiAn/3sZ1iyZAkee+wx3HPPPf36cyxfvhxRUVHYunUr5s2bhwceeAC33HILli5diuzsbMTHx/frvEREROSb5HIBaRmOubiFZ40wGoc+WzMqXINgjX0Kg00EDpR1n60ZCfNqGNSQ24WHh+MnP/lJl8+/+OKL+O1vf4vExETs3LkT+/btw9y5c/H11193GSjcc889ePTRR+Hv749NmzZhzZo1LhmYyMhIfPHFF1i8eDEqKyvxzTffICgoCGvWrOmxZXNXwsLC8NVXX+GGG26AyWTC1q1bceHCBTz++ON44403+nVOIiIi8m1JaWqo1PZsjdUKFOQNfbZGLhMwXdf7ErSRENQI4gifGFBeXt7t3AhRFFFTU4Pw8PBBmWDlie5n5D7D4foN9r9xbxcZaW+F2dkcMPINvIa+jdfP943Ea3jmlAGnj9srUhRKYPHVQVCqhjZXsK+kCc9/a2/brFXI8MGydCjljjGcOHEC27dvB2Av4++qGgbwjmsoCEKnc657i5kaIiIiIqI+SB6lhlJpvxFoMQMFZ4Z+PbuJMf5Qye1jaLXYcKKy1eX5izM1wz2PwaCGiIiIiKgPlEoBKaMda8Pk5xlhMQ9t0KBWyDA51rGMxd7iJpfnndeqMZvNQ7qwuScwqCEiIiIi6qOUUWrI21Z8NJtEFJ4b+rk1Lq2dS5tdsjFqtRoBAY7nh/u8GgY1RERERER9pFLLkJzu6IR2LtcIq2VoszXTdAFonw1b02JBfp1rYOWcrRnubZ0Z1BARERER9UPaGDVk9s7KMBpEFBUM7dyaEI0CGZFaaXtviWsJ2kjqgMaghoiIiIioH9QaGZJSHXNrzuYYYLMObbYmu5vWzs6ZGgY1RERERETUqbQMDWRt36gNrSKKzw9ttiY7wRHUFNQZUdlslradMzW1tbXDugMagxoiIiIion7S+smQkOKcrTHCZhu64CE+SI24QMfr7yt1lKA5Z2osFgsaGxuHbFxDjUENEREREdEApGeo0b5+dYvehrIic/cHuNmM+M5L0FQqFQIDA6Xt4dwsgEENEREREdEA+AXIoUtSSttnThmGtNTLOag5UdGCZpNV2h4pzQIY1BARERERDdCoTI30c3OTDSXnhy5bMzpCi2C1vQ2bVQQOleml5xjUEBERERFRrwQEyRGX6MjW5BxrhcU8NNkauUzANJcuaJ3Pq2H5GRERERERdStzgsZl3Zq8U4Yhe+1spxK0g2V6mNtaS1/cAc1msw3ZmIYSgxoakJaWFvz973/HsmXLMHHiRCQnJyMrKwvXXHMN/ud//gelpaXSvi+//DJ0Oh0+/vhjD47Ye+3atQs6nQ4rV6709FCIiIioH/z85UjPUEvb+XlGNDdauznCfSbF+kMlt3craDHbcLKyBQAQGhoq7WO1WodtBzQGNdRvBw8exJw5c/Dss8/iyJEjGDNmDK666ipMnToVhYWFWLVqFebOnYvvvvvO00MlIiIiGhLpGRpo/ezBhWgDThxuHZKmARqFDBNj/KXt9hI0pVKJ4OBg6fHhOq9G4ekBkG86deoUli9fDoPBgBUrVmDlypXw8/OTnrfZbNi8eTOef/55lJeXe3CkRERERENHrhCQNUmLg7vsmZKqCxZUlFkQo1P2cOTAZccHYH+pvaXzvpJm3DdNhCAICAsLQ0NDAwB7CVpaWtqgj2WoMVNDfSaKIh555BEYDAb88pe/xJNPPukS0ACATCbDlVdeia+//hoTJ0700EiJiIiIhl5svBIRUY7cwcnDrbBaBz9bk60LQNtyOahqsaCgzghgZHRAY1BDfbZjxw7k5OQgNjYWjzzySLf7BgUFISMjo9t9CgoK8PLLL+Oaa67BpEmTkJycjKlTp+KRRx7BuXPnOj1Gp9NhxowZsFgs+Mtf/oLZs2cjLS0N8+fPd5mz88MPP2DZsmUYM2YMsrKy8Mgjj3Ta+WPZsmXQ6XQoLi7G559/jssvvxxpaWmYMGECHn300W6zTVu2bMFtt92GsWPHIjU1FXPmzMGf//xn6PX6TvcvLi7Ggw8+iLFjx2LUqFG49tprsW3btm7/joiIiMh3CIKAcVO0Lgty5ucaB/11Q7QKjI5wtJZuX4iTQQ1RJ/773/8CAK6++mooFAOvYFyzZg1eeeUVNDc3Y8KECViyZAkCAwPx+eef46qrrsKpU6e6PPaBBx7Am2++iaSkJMyYMQPFxcX4xS9+gY8//hgbN27E7bffDr1ej3nz5kGr1eLzzz/HPffc02Vt65tvvolHH30U/v7+uOyyy+Dn54fPPvsM11xzDcrKyjrs/7vf/Q533XUX9u7di4yMDCxatAhmsxl//etfsWzZMrS0tLjsf/78eVx99dVYv349wsLCsGTJEthsNvzkJz/Bl19+ObC/SCIiIvIagcFyJKerpO0zpwxobRn8zmPZ8YHSz/tK7fNqnNs619XVDcsOaJxTQ3124sQJAMD48ePdcr7LLrsMt912G5KTk10e//jjj/GLX/wCv/vd7/Dpp592OK6kpAQBAQH45ptvEBcXBwDYuXMnli9fjj/96U8wmUx44403cNVVVwEAmpqacN1112Hfvn3YtWsXZs+e3eGcH374Id5//30sWrQIAGA2m/GLX/wCX3zxBX7729/i7bfflvbdsGED3nzzTYwfPx7/+Mc/kJCQIB3z1FNPYfXq1Xj55ZfxzDPPSMc8+eSTqK6uxo9//GP88Y9/hExmv6/w0Ucf4Ve/+tUA/haJiIjI24wZp0FpkRkmowirFTh1tBVTZ/n3fOAAZMcH4IMjVQCAc7VGVOnNCA0NhSAIEEURNpsN9fX1LoHOcMBMzQCIogizyTag/0xt/w30PH35b6AdOOrq6gC4pjIHYurUqR0CGgC4+eabMX36dOzevbvL9oPPPfecFNAAwOzZszF+/HhUVFRg0aJFUkADAIGBgbj99tsBAHv27On0fNdcc40U0AD2jiHPPvss/Pz8sGXLFpcytFdffRWAPbvTHtC0H/Pcc88hKioKa9aske6GnD9/Ht9++y1CQkLw9NNPSwENANx2222YNm1al39HRERE5HuUKhkyJzjKwcqKzKiptAzqayYEqRAb6GhKsL+0GQqFYth3QGOmZgAsZhGb1/per+/LbwiCUiX0vGMXBqMtoV6vx9atW3Hy5EnU19fDbDYDACorKyGKIgoLCztkhlQqFWbNmtXhXImJiTh+/DjmzZvX4bmkpCQAQEVFRafjuPbaazs8FhYWhnnz5mHz5s04cOAArrnmGlRXV+PUqVMYPXo00tPTYbG4vkFpNBpMmDAB27ZtQ35+PtLT07F//34AwMKFCzs0VgCA6667DgcOHOh0XEREROSbElJUOH/WhIY6+3o1Jw61YO7SQMhk/f8u1h1BEJCtC8D60/ab0PtKmnHl6FCEh4ejvr4eADqdX+zrGNRQn4WFheHcuXNui/J/+OEHPPjgg92er7m5ucNjkZGRLtmOdu0BQ0xMTJfPmUymTl8nPj6+28fbg6GSkhIAQF5eHqKjo7scN+DIbLUf65xZcqbT6bo9DxEREfkeQRAwfqoWP2yzf5dpbLCh6JwJyaPUPRzZfzPiA6Wg5niFHi1mK8LDw6UGTMzUEAEYO3Ys9u/fj+PHj+PGG28c0Ln0ej0eeOAB1NXVYeXKlbj++usRHx8PjUYDQRCwYsUKrFu3rtPskCB0f4ejp+f74uLXt1rtd1uio6OxYMGCbifcta/k234Od46LiIiIvF9ouAIJySoUn7ffVD19woDYRCXU6sGZCZIRqUWgSoYmkw0WG3C4XI9Ipzk0zNSQC4VSwOU3BA3oHPK27mFWy+DWVzpTKAf2pXrRokX45z//iY0bN+Lpp58eUAe0vXv3oq6uDldeeWWnE+ULCwsHMtQ+KykpQVZWVofH2zuftWdlYmNjAQBRUVH4v//7vw7lZ51pP7a0tLTT57t6nIiIiHxfxgQNyktMsFgAs0lE7nEDJkzrWI7uDnKZgKm6AOwosE+T2FfSjLvGOOZC19fXw2q1Qi6XD8rrewIbBQyAIAhQqmQD+k/V9t9Az9OX/waaKbj00ksxZswYlJeX4//+7/+63bepqQm5ubldPt++um1nJVkFBQVSp7Wh0llb5bq6Onz77bcQBAFTp04FYB9vWloaTp061evAa/r06QCA7du3d2j1DADr168fwMiJiIjIm2m0Mowe52gaUHjOhIa6wbupnR0fIP18sLQZgUHBUtl+ewe04YRBDfWZIAj4v//7P2g0Grz88st48cUXO3xJF0UR//nPf3DFFVfgyJEjXZ4rNTUVAPD111+71Hc2NDTg8ccflxoGDJUvv/wSO3bskLYtFgt+//vfo6WlBUuXLnUJvh599FFYrVbcc889OH36dIdznT9/Hv/+97+l7ZSUFMyZMwf19fV44YUXXErWPv74YzYJICIiGuZS0tUICHR8/T5+qHVQGjABwORYfyjamhE0mWzIqzUhJCREen64zath+Rn1y7hx4/Dvf/8b9913H1577TW88847mDp1KiIjI9HY2Ihjx46hqqoKGo2my4nxADBx4kTMmzcP3333HebOnSt1M9u9ezdCQ0Nx2WWXYcuWLUP1x8Ltt9+OO+64AzNnzkR0dDQOHTqEoqIixMTE4A9/+IPLvjfeeCPy8vLw2muvYenSpRg3bhwSEhLQ3NyMkpISnD17FllZWbjlllukY1588UVcf/31eO+99/Ddd99h/PjxKCoqwuHDh3HnnXfigw8+GLI/KxEREQ0tmVzAuCla7PlWDwCoq7aitNCM+GRVD0f2nZ9SjvHRfjhcbn+tfSVNiAkLk+bTDLd5NczUUL9Nnz4dO3fuxDPPPINJkyYhJycHX375JQ4cOID4+Hj84he/wPfff4+5c+d2e553330XjzzyCMLCwvDNN9/g2LFjuPbaa/Hll18iKGhgc5b66oEHHsArr7yCxsZGbN68GU1NTbjxxhvx5Zdfdtqd7JlnnsFnn32GpUuXory8HFu2bMGJEyeg1Wrx85//HK+88orL/qmpqfjyyy9xzTXXoKamBlu2bIEoinj33Xc7bSdNREREw0tkjBIxOsc6MqeOtsJiHpxsjXMJ2t6SZpcFN4dbpkYQByvn5SPKy8u7TfuJooiamhqEh4cPSteq9kn2vZloToNn2bJl2L17N/bs2eOykGZPhsP1G+x/494uMjISAFBVVeXhkVB/8Rr6Nl4/38dr2Hf6Zit2fN2E9kr0pDTVoDQNqG4x456156Tt34wXsW/HVgBASEgI7rrrLgDecQ0FQZAaMfUHMzVEREREREPIP0COtAzHOjWF50xSu2d3ivBTIi3M8TrnDY6fGxoafPqm7MUY1BARERERDbFRWRoEhzpaKh870IKGOqvbXydbFyj9fKhWkDqgiaIoLRA+HDCoISIiIiIaYnK5gGmz/aFU2Uu/bVbgwC49zKauF/TuD+d5NXk1RgQN0w5oDGqIAHz22WcoLS3t03waIiIiooHw85dhyizHXJqWZhsO721xa5vnlFA1wv3sc4BFADaNownTcOqAxqCGiIiIiMhDomKUGOO0KGdFmQVncoxuO78gCMjWObI1VTZHEMVMDRERERERucWoLDWi4xzLR+YeN6DygvsWIJ+R4JhXc67VsSYOMzVEREREROQWgiBg8gw/+Pk7vpof2t2CFr175teMi9JCq7Cfu17wlx5vaGiA2ey+4MmTGNQQEREREXmYUiXDtNn+kLU1RDObRBzYqYfVOvD5NUq5DFPi7MFMq8wPEBwhwHDpgMaghoiIiIjICwSHyjFhqmPOS0OdFScOtbrl3FIXNEFAi8Ixx2a4zKthUENERERE5CUSUlRISnPMeynKN6Eof+CNA6bGBUBm7x6NBqcStOEyr4ZBDRERERGRFxk7WYuQMMfCnMcPtaKhzjKgcwaq5ciK1AIA9MzUEBERERHRYGpfmFOldlqYc2cLTANcmDM73t4FrVnOoIaIiIiIiAaZ1q9tYc62krEWvQ2H9wxsYc72eTV6uaP8rKmpCUaj+9bF8RQGNUREREREXigyWomM8Y6FOSvLLTh1xNDvwCY2UIWEYBUMMi2sTmFAZWXlgMfqaQxqqF90Oh10Oh2ysrLQ0NDQ6T4vv/wydDodXnvttSEe3eDT6XSYMWOGp4dBREREw1x6hhrROsfCnPl5Ruz/QQ+zuX+BTbYuABAElxI0BjU04jU0NOAf//jHoL/OjBkzoNPpBv11fFlxcTF0Oh2WLVvm6aEQERGRmwiCgMnZ/ggMdnxtryiz4IdtTWhusvb5fO3zapybBTCooRFNJpNBpVLh7bffRn19vaeHQ0RERDQsKVUCZi8MRHScI2PT3GjDD1ubUVlu7tO5RoVrEKyRQ89MDZGdUqnErbfeiqamJvz973/39HCIiIiIhi2lSsD0Of4YlaWWHjObRez9Xo+zp3s/z0YuEzBdF+DSLIBBDY14Dz/8MNRqNd555x3U1dX1+rjW1lb85S9/wcKFC5GWloaMjAz86Ec/wvr1613227VrF3Q6HUpKSgA45vL0ZU6LKIpYt24dfv7zn2POnDlIT0/H6NGjcdVVV+Gf//wnbLaBtUd0dvr0aUyZMgXJyckuf5b28VqtVrzxxhuYM2cOUlJSMG3aNDz//PNddh0pLS3Fr3/9a2RnZyMlJQUTJkzAvffeiyNHjrjs9/LLL2PmzJkAgN27d7v8Pa1cudJtfz4iIiLyHEEQkDFei6mX+EHevoyNCOQcNeDwnhZYLb0LbLLjA9AsD5S2Gxsb0draOggjHjqKnnfpHZPJhHXr1mHnzp2orq5GQEAAJk6ciJtvvhnh4eG9Ps+KFStQVVXV5fN/+ctfOLfCi8TGxuK2227De++9h7feegtPPPFEj8c0NzfjpptuwrFjxxAeHo5FixahtbUVO3fuxN69e3Hw4EE899xzAICoqCjcdNNN+Oqrr9DS0oKbbrpJOk9YWFivxmg0GrFixQqEhIRg1KhRGD9+PGpra3Hw4EE89dRTOHLkCFatWtWvP7+zAwcO4Mc//jGMRiPee+89XHrppR32eeihh7Bt2zZMmjQJaWlp2LdvH9544w1cuHABr776qsu+OTk5WL58OWpra5Geno4rrrgCpaWl+PrruSVTmwAAHeZJREFUr7F161a89tpruOaaawAAY8eOxZVXXolNmzYhMjISCxYskM6TnZ094D8bEREReY+4BBX8A+TYv1OPVr395mxpkRnNTc2YNtsffv7d5y0mxfhDVGpgERRQiPZFPauqqqDVagd97IPFLUGNyWTCH/7wB+Tm5iI0NBTTpk1DVVUVduzYgUOHDuGPf/wjYmJi+nTO+fPnd/q4n5+fO4bsFqIowmQyDegcFov9H5LV2veJXv2lUqkgCILbzvfQQw9hzZo1eO+99/Czn/2sx2DjpZdewrFjxzB37ly888478Pe3pz/Pnj2LG2+8Ee+88w7mz5+PRYsWIT09HatWrcLu3bvR0tLSr+BDoVDgH//4BxYvXgyVSiU9XlNTgzvvvBOffvopbrnlFinT0R87duzAfffdB6VSiTVr1mD69Okd9ikpKYFWq8X27duRkJAAACgqKsIVV1yBL774Ar/85S+RnJwMwP5v6+GHH0ZtbS0eeughPPHEE9I127hxI37+85/j8ccfx8yZMxEZGYnLL78cY8eOxaZNm6S/MyIiIhq+gkPlmLskAAd3taCm0v59sqHOiu+3NmHabH+ER3b+Nd+2bQNUk2dhYmwA9HX+CLbYu9hWVlYiKSlJ2k+sqYJ4eDdki68d/D+MG7glqFm7di1yc3MxevRoPP3009Bo7P20N27ciH/961/429/+hmeffbZP51yxYoU7hjaoTCYT3nrrLU8Po8/uv/9+qNXqnnfspZiYGNx+++1455138NZbb+E3v/lNl/u2tLRgzZo1kMlkeOGFF6SABgDS09Px6KOP4plnnsG7776LRYsWuWV8CoUCV155ZYfHw8PD8cQTT+DWW2/Fli1b+h3UrF+/Hg899BBCQkKwevVqZGVldbnvH/7wBymgAYDExET86Ec/wrvvvou9e/dKQc2uXbuQk5ODxMRE/PrXv3YJQq+++mqsX78emzZtwscff4yHHnqoX+MmIiIi36ZWyzBzvj9OHWlFwRn7jXaTUcTub5oxbooWyemu3/ds2zZA/PhtiNs3Inv5M/ivPEAKaioqKqSgRqypgu3lp4CqC7ABPhHYDHhOjcViwebNmwEA99xzjxTQAPYvX0lJScjJyUF+fv5AX4q82IoVK6DRaPDee++htra2y/2OHTsGg8GASZMmITU1tcPzN954IwBg//79A1oxtzMnTpzAG2+8gSeffBKPPfYYVq5ciQ8++AAAUFBQ0K9zvv/++3jggQcQExODtWvXdhvQKJVKXHLJJR0eb/97cJ6kt2/fPgDAtddeC7lUNOvQ/ve0d+/efo2biIiIhgeZTMC4KX6YOF0LWds3e1EEjh9sxd7vmlF4zojWFnuJmjB5FhAZA1RdwJQvXnbpgHa+tNx+rFNAg8gY+zE+YMCZmtOnT0Ov1yM6OhopKSkdnp8xYwYKCwtx4MCBTr/E0vAQHR2NO+64A2+//Tb+9re/4amnnup0v4qKCgBwyVY4Cw4ORlBQEBobG9HU1ISgoKAeX/ujjz6SgoB2YWFh+O1vfwvAnlF77LHHsG7dui7P0dzcLP28b98+fPTRRx32+e1vf+tSWldeXo5f//rX0Gg0+PTTTxEfH9/tOKOiojoNUNpLKp1LGS9cuAAAXZ6z/fH2v08iIiIa2RJT1QgMss+zMRrsN4Yryy2oLLcAaEVgkAyRsQGIuvsFBP/zGYSW5yMkztGoqKqyskNAI/vl8xDCIz30J+qbAQc1hYWFANBpQAM47kK379dbGzZswIULF6BUKpGQkIDs7OxefcEdSiqVCvfff/+AztH+JXeo59QMhhUrVuDDDz/EP//5TzzwwAPd7tubOT29nfezb98+fPrppy6PxcfHS0HN3//+d6xbtw4ZGRl4+umnMX78eAQHB0OpVOLcuXOYN2+ey7EFBQUdzgcAv/zlL12CmoiICIwePRrff/89nnvuObzxxhtQKLr+lerPPKaejnHn3CgiIiLybaERCsxbGogDO/Woq3H9btnUaENToxH5UEA+6QWE1+VggqEGF9qetxpb0fLKb6HxwYAGcENQU11dDQBddjhr/xLYvl9vffjhhy7b77//Pu6++24sXLiwH6McHIIgDHhuSvuX4PaGAb4sKioKd911F/7+97/jjTfe6LSpQ3R0NAD7BPnONDY2orGxEX5+fggICOh0n4utWrWq24nx7eWRr7/+OjIyMlye62wcN998M26++eYeX1epVOKDDz7A7bffjq+++goPP/wwXnvttU6zMX3V3lijuLi40+dLS0sB2P/OiYiIiNpptDLMXhiAygsWVJabUXnBgpZm1+UrrDYBlcFZ0ASJkFWVwibaq0VOKuIxNdLqcwEN4IagxmAwAECXX+7b59i079eTqVOnYty4cUhNTUVQUBAqKirwzTffYNOmTXjzzTcREBDQpxa1v/jFLzo8plKp8NJLLwGw323vjiiKqKurg0KhGJS74u3n7O4Ovze7eNyPPPIIPvjgA7z//vtYvnw5AEAmk0n7TZ48GVqtFkeOHEFRUVGHksT2ErEZM2ZAqVRKjztnl/r6d9XQYJ8Al5iY2OHYjRs3ArBfh76eVxAE+Pn5YfXq1bjtttuwYcMGKBQKvP7665DJOk5X6+o12oMg57+nWbPs9asbNmzAk08+2SFQWrt2rbRf+zHtbRitVmuf/iyiKEImkyEyMnJEZn7a/64iI33rzZsceA19G6+f7+M19E5R0QAm2n9urDehpKgFpYV6lJW2SuvZCIIApSIERrN9Xu/Z6HG4/MEnII/sW9dibzDgRgE9Tebu62Tvn/70p8jOzkZERARUKhUSEhJw11134d577wUArF69ut9jpcEXGRmJu+++G62trfjkk086PO/v749bb70VNpsNTzzxBPR6vfTcuXPn8Je//AWAvemEs/bMxdmzZ/s8pvbA6f3333d5/Msvv+y0zKyv/Pz88OGHH2LmzJn44osv8Mgjjwx4Qc/Zs2cjMzMTRUVF+NOf/uTye7Rp0yZ89dVX8Pf3xy233CI9HhYWBqVSifPnzw9pOSMRERF5t6AQFbImhGDJNTrcfm8qLrs2DmMnhSA4SAaVIkTar1ps8dwgB2jA6YH2u8NdrYje/rhzV7T+WLhwIT7++GOUl5ejsrKy12U3r7zySrfPV1dXdxt4iaIIm80Gi8UyKHexfb38rLNxP/DAA/jnP/+Jlhb7L0b731+7//f//h8OHDiAb7/9FtnZ2Zg5cyZaWlqwa9cuGAwG3HPPPbj00ktdjlm8eDF27dqFZcuW4ZJLLoGfnx/CwsLw5JNP9jjGn//85/jmm2/wxz/+ERs2bEBqaioKCgpw9OhRPPDAA3jzzTchimKfr4EoitK/HbVajX/961+4/fbb8emnn0IQBLzyyisu/2a6eo32AOTiv6dXX30VN910E/76179i06ZNGDt2LEpLS7F//34oFAq8/PLLCAsLk46RyWRYsGABtm7diksvvRTjxo2DSqXC9OnTuy2na/83XlVVNSIzNe13Frtb9Je8G6+hb+P18328hr5HpQVSIqqQ9P5TMKvikRs5BhGyQEzPW4eqJ7/xSPmZIAiIjY3t9/EDztS0l2/V1NR0+nx7e9+eyrx6IpPJpPkYdXV1AzoXDa7w8HD85Cc/6fL5gIAAfP7553j88ccRFhaGrVu3Yt++fZgwYQJef/11PPfccx2Oueeee/Doo4/C398fmzZtwpo1a7B+/fpejWfmzJlYu3YtZs+ejaKiImzbtg1KpRL/+Mc/uh1nX/n7++PDDz/EtGnT8Mknn+DXv/71gNpSZ2ZmYsuWLbj99tuh1+vx1Vdf4dy5c7j88suxbt06XHPNNR2O+d///V/ceOONqKurw7p167BmzRrs3r17IH8sIiIiGmacu5wtMJXg6RXL8MDPL0OiFva1aV5+CmKNbwWpgjjAxUBOnDiB5557DtHR0Xj11Vc7PP/ZZ5/hk08+wbJly6Q5Fv312GOPobS0FP/zP//jsuLpQJSXl/eYqampqUF4eDgzNdTBcLh+g/1v3NvxDqPv4zX0bbx+vo/X0Ld01rY5KsO+zl7l6VMea+ns8UxNRkYG/Pz8UFFR0ekChu2LA06ZMmVAr1NcXIyysjKo1WrodLoBnYuIiIiIaKTpaR0aITwSsl8+Ly3Q6UsZmwEHNQqFApdffjkA4N1333XpcrZx40YUFhYiIyMD6enp0uObN2/GypUrOyxweOTIEeTn53d4jcLCQrzyyisQRRELFy702U5hRERERESeIh7e3WMW5uLARjzsG2XsbokOfvSjH+H48ePIzc3Fo48+ioyMDFRXV+PMmTMIDAzEgw8+6LJ/Y2MjysrKOsyNycvLw2effYbIyEhER0cjKCgIlZWVKCgogNVqRVZWFm677TZ3DJmIiIiIaESRLb4WNgDC5FndlpW1Bzbi4d2QLb526AY4AG4JalQqFX73u99h7dq1+OGHH7B//374+/tj/vz5uPnmm3vdJGDSpEmoqanBuXPnUFhYiJaWFmi1WmRkZGDOnDm49NJLO13/g4iIiIiIetbbIEUIj4TgIwEN4IZGAb6OjQJoIIbD9WOjAE5w9XW8hr6N18/38Rr6Pm+4hh5vFEBERERERORJDGqIiIiIiMinMaghIiIiIiKfxqCmB4IgQBAE2Gw2Tw+FaFBYrVbp3zkRERGRL2JQ0wsqlcpl/R2i4cRoNEKlUnl6GERERET9xlUse0Gr1aKhoQEAoFarIZfL3Xbu9s5rI7wJnc/y5etntVphNBphMBgQHBzs6eEQERER9RuDml5QKBQIDg5Ga2srGhoa3PoFtn3dHZa3+SZfvn6CIEClUiE4OFhqTU1ERETki/hNppcUCgUCAwMBuPeuvDf0Baf+8+Xrxzk0RERENFwwqOkHd34ZbD8Xv2D6Jl4/IiIiIs9jowAiIiIiIvJpDGqIiIiIiMinMaghIiIiIiKfxqCGiIiIiIh8GoMaIiIiIiLyaSO++5m3dK3ylnFQ//D6+T5eQ9/Ha+jbeP18H6+h7/PkNRzoawuiLy6FTkRERERE1IblZ0RERERE5NMY1HjYE088gSeeeMLTw6B+4vXzfbyGvo/X0Lfx+vk+XkPfNxyu4YifU+NpJpPJ00OgAeD18328hr6P19C38fr5Pl5D3zccriEzNURERERE5NMY1BARERERkU9jUENERERERD6NQQ0REREREfk0rlNDREREREQ+jZkaIiIiIiLyaQxqiIiIiIjIpzGoISIiIiIin8aghoiIiIiIfBqDGiIiIiIi8mkMaoiIiIiIyKcxqCEiIiIiIp+m8PQARqKNGzfi9OnTKCoqQkNDA8xmM0JCQpCVlYXrrrsOCQkJnh4i9UFzczNWrlyJxsZGxMXFYdWqVZ4eEvXg97//PU6dOtXl808++SQmTZo0dAOifquvr8e6detw+PBhVFdXQ6VSISoqCuPHj8cdd9zh6eFRF06ePIlnn322x/2WL1+OZcuWDcGIqD/y8vKwYcMG5Obmorm5GRqNBikpKVi6dClmzpzp6eFRL+Tl5WHdunXIzc2FwWBAREQEZs2ahRtuuAFqtdrTw+sTBjUesHbtWhgMBiQlJSExMREAUFxcjO+++w67du3Cr371K0yePNnDo6Teev/999HU1OTpYVA/zJgxAxqNpsPjYWFhHhgN9VVeXh5efPFF6PV6xMfHY9q0aTAYDCgpKcHGjRsZ1HixkJAQzJ8/v9PnbDYbvv/+ewBARkbGUA6L+mD37t1YtWoVRFFEWloaxo4di7q6Opw8eRInTpzAddddh9tvv93Tw6RufP/993j99ddhs9mQmpqKiIgInDt3Dl988QUOHjyI5557Dlqt1tPD7DUGNR7wq1/9CqmpqVCpVC6P/+c//8Hbb7+NN998E3/7298gk7E60NsdP34c3377LRYvXoxt27Z5ejjUR3feeSeioqI8PQzqh9raWrz44oswm814/PHHkZ2d7fL82bNnPTQy6g2dTocVK1Z0+tzhw4fx/fffIzw8HFlZWUM8MuoNq9WKd955B6IoYuXKlbjkkkuk5/Ly8vDss89iw4YNWLRoEWJiYjw4UupKTU0N3nzzTdhsNvz85z/HpZdeCgAwm8149dVXsWfPHnz44Ye47777PDzS3uO3Zg/IyMjoENAAwNKlSxETE4O6ujqUlZV5YGTUFyaTCf/4xz8QHx+Pa665xtPDIRpRPvroI+j1etxxxx0dAhoASE9P98CoyB3aszRz587lzT0vVVpaisbGRuh0OpeABgBGjx6NiRMnQhRF5Ofne2iE1JMdO3bAbDZjwoQJUkADAEqlEvfeey/UajW2b9/uU5UofLfwMu1v4AoFk2je7tNPP0VFRQXuvfdeyOVyTw+HaMRobm7G7t274efnh4ULF3p6OORGBoMB+/fvB2APasg7KZXKXu0XEBAwyCOh/moPODvLhgYFBSE+Ph5WqxWHDx8e6qH1G785e5Fvv/0WZWVliI2NZUmMlyssLMTGjRuxYMECZGVlobKy0tNDon7Yvn07mpubIQgCYmNjkZ2djYiICE8Pi3qQm5sLs9mM8ePHQ6FQYM+ePTh9+jQsFgt0Oh1mzZqFkJAQTw+T+mHfvn0wGo1ISUlh0xwvFh0djejoaJSWlmLXrl0dys+OHj2KqKgolg96MaPRCKDrwLP98fPnz2PevHlDNq6BYFDjQRs2bEBxcTGMRiNKS0tRXFyM0NBQPProo0y5ezGbzYa33noLfn5+nIjs47744guX7Q8++AA33ngjuy15ueLiYgBAcHAwfvvb3yIvL8/l+Y8++ggPPvggZs2a5Ynh0QA4l56R95LJZHjwwQfxpz/9CatWrcKXX36J6Oho1NXV4fTp00hPT8fDDz/MqhMvFhQUBACoqqrq9Pn2x7t63hvxX5sHHT16FMePH5e2w8PD8fDDDyM1NdWDo6KebN68GWfPnsWDDz6IwMBATw+H+iEzMxMLFy7EmDFjEBoaiurqauzZswdffPEFPvnkE/j5+eHKK6/09DCpC3q9HgDw3XffQaFQ4IEHHpA6n23evBkbN27Eq6++iri4OCQlJXl4tNRb9fX1OH78OGQyGebMmePp4VAPMjMz8fvf/x7/+7//i3PnzuHcuXMAAK1Wi/HjxyM0NNTDI6TuZGVl4YcffsDOnTtx8803uwSgeXl50txug8HgqSH2GdMBHvTMM8/gk08+wXvvvYdnn30WcXFx+P3vf9/h7jF5j+rqavz73/9GVlYWFixY4OnhUD/dfPPNmDdvHqKjo6FSqRAXF4cf/ehH+NWvfgUA+OSTT2AymTw8SuqKzWYDYO/A9OMf/xgLFy5EUFAQoqKicNddd2HmzJmwWCxYv369h0dKffHDDz/AZrNhwoQJLB/0AT/88AOeeuopRERE4IUXXsC//vUv/PWvf8Xs2bPxxRdf4A9/+AMsFounh0ldmDNnDiIiIlBdXY0///nPKC4uRmtrK44cOYK//OUv0lxhQRA8PNLeY1DjBfz9/ZGZmYnf/OY3SE1Nxccff8x2pF7q7bffhsViwb333uvpodAgmDhxItLS0tDS0tKhpIm8R/u6CYIgdLrWSXsnn+4WWCXv01565iv1+yNZeXk5Xn/9dQQFBeGJJ55Aeno6NBoNYmNj8bOf/QxTp05FXl4eduzY4emhUhc0Gg2eeOIJRERE4MiRI/jlL3+JH//4x3jhhRcgCAKuuuoqAPbvqL6C5WdeRKFQ4JJLLkF+fj4OHjzIlqRe6NChQ/D398fbb7/t8rjZbAZgz+T8/ve/BwA88cQTnS7sSN4tJiYG586dQ319vaeHQl2IjIwEYF/AsbMuTO3PNzQ0DOm4qP9KSkpQUFAAjUaD6dOne3o41IOdO3fCarVi4sSJnX7OzZo1CwcPHsTJkyexePFiD4yQeiMxMRGrVq3C7t27ce7cOdhsNiQlJWHOnDn4/PPPAcCnGnYwqPEy7XM0GhsbPTwS6oper+/yDrDJZJKes1qtQzkscpP2+RoMSL1XSkoKAPu1EkWxQ3lEc3MzAF5DX/Ldd98BALKzs6FWqz08GupJbW0tAMDPz6/T59sfb/9dJO+lUqkwf/78Dlnv9jnfvtTBjkGNl2n/QhwdHe3hkVBnPvnkk04fr6ysxEMPPYS4uDisWrVqaAdFbtPY2IicnBwAji/O5H0SExMRFRWFyspKnDlzBqNHj3Z5/uTJkwDApis+QhRF7Ny5EwBLz3xF+5yn9uYAF2svoW/PmpJvOXXqFAoKCpCQkICMjAxPD6fXOKdmiOXk5GDXrl0d7uJbLBZ8/fXX+O6776BSqTqs0EtE7pGXl4cTJ05AFEWXxysrK/E///M/MBqNmDZtGsLDwz00QuqN6667DgDw3nvvuWS28/PzsXHjRgDAkiVLPDI26pucnBxUVVUhNDQU48aN8/RwqBemTZsGwH7t/vOf/7g8l5eXh6+++goAMHPmzCEfG/Xe+fPnO3wfzc/Px1//+lcIgoC7777bQyPrH2ZqhlhFRQXeeOMNBAYGIjU1FYGBgWhqakJRURHq6uqgVCrx4IMPcgFAokFSVlaGN954A6GhoYiNjUVISAhqamqQn58Ps9mMhIQE3H///Z4eJvVg0aJFOH78OPbs2YOVK1di9OjRMBqNyM3NhcViwaJFi/iFykc4r03DNdp8Q2pqKq655hp8+eWXePvtt7FlyxbodDrU1dUhLy8Poihi8eLFmDBhgqeHSt345z//iZKSEiQnJyMwMBBVVVU4c+YMZDIZ7rvvPp+7ycCgZohlZWXhhhtuwKlTp1BUVITGxkYoFApERUVhxowZuPLKKxETE+PpYRINW+np6Vi6dCnOnDmDkpIS5ObmQq1WIzk5GbNmzcLSpUuhUqk8PUzqgUwmw8qVK7F161Zs375dKjlLS0vDkiVLWMbkI8xmM/bs2QOAC276mjvvvBNjxozB1q1bkZ+fj7KyMmg0GmRlZWHRokVca8gHzJ07F99//z3Onz8PvV6PoKAgzJ49G9deey2Sk5M9Pbw+E8SLazCIiIiIiIh8CPO8RERERETk0xjUEBERERGRT2NQQ0REREREPo1BDRERERER+TQGNURERERE5NMY1BARERERkU9jUENERERERD6NQQ0REREREfk0BjVEREREROTTGNQQEREREZFPY1BDREREREQ+jUENERERERH5NAY1RERERETk0xjUEBERERGRT2NQQ0REREREPo1BDRERERER+TQGNURE5BOam5txxx13YPny5di1a1e3+/773//G8uXL8dBDD0EUxSEaIREReQqDGiIi8gkBAQGYNWsWAOC///1vl/vZbDbs2LEDALBw4UIIgjAUwyMiIg9iUENERD5j6dKlAIATJ06goqKi030OHTqE2tpayOVyLFy4cCiHR0REHsKghoiIfMaoUaOQkpICURS7zNZs27YNADB16lSEhIQM4eiIiMhTGNQQEZFPWbJkCQDgm2++gcVicXmutrYWR44ccdmPiIiGPwY1RETkU+bMmQOtVouGhgYcPHjQ5bnt27fDZrMhKioKEyZM8NAIiYhoqDGoISIin6LRaDB37lwAjlIzwN4g4JtvvgEALFq0iA0CiIhGEAY1RETkc9obBhw7dgyVlZXSz1VVVZDL5bj00ks9OTwiIhpiDGqIiMjnJCYmYsyYMRBFEdu3bwfgyNpMmzaNDQKIiEYYBjVEROSTnBsG1NbWSvNrFi9e7MlhERGRBzCoISIinzRr1iwEBgairq4Of/3rX2G1WtkggIhohGJQQ0REPkmpVGL+/PkAgJycHABsEEBENFIxqCEiIp+1dOlSKYhhgwAiopGLQQ0REfmsmJgYJCcnA2CDACKikYxBDRER+az6+noUFRUBYIMAIqKRjEENERH5rP/85z+wWq2IiYlhgwAiohGMQQ0REfmkc+fOYePGjQCAq6++mg0CiIhGMIWnB0BERNQXK1asgNlsRn19PQAgJSUFCxcu9OygiIjIoxjUEBGRT6mqqgIAhISEYNKkSbjtttugUPDjjIhoJBNEURQ9PQgiIiIiIqL+4pwaIiIiIiLyaQxqiIiIiIjIpzGoISIiIiIin8aghoiIiIiIfBqDGiIiIiIi8mkMaoiIiIiIyKcxqCEiIiIiIp/GoIaIiIiIiHwagxoiIiIiIvJpDGqIiIiIiMinMaghIiIiIiKfxqCGiIiIiIh8GoMaIiIiIiLyaQxqiIiIiIjIp/1/VEp4B84MF4cAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xs = np.linspace(3, 9, 61)\n", "\n", "plt.plot(xdata, fdata, linestyle='', marker='x')\n", "plt.plot(xs, fnatural(xs))\n", "plt.plot(xs, fclamped(xs))\n", "plt.plot(xs, fnotaknot(xs))\n", "\n", "plt.xlabel('x')\n", "plt.xlabel('y')\n", "plt.legend(['Point', 'Natural', 'Clamped', 'Not-a-knot'])" ] }, { "cell_type": "markdown", "id": "38025667", "metadata": {}, "source": [ "## Scipy 활용\n", "\n", "Scipy 에는 다양한 내삽 함수를 제공한다.\n", "\n", "- `scipy.interpolate` 모듈\n", " * https://docs.scipy.org/doc/scipy/tutorial/interpolate.html" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.2" } }, "nbformat": 4, "nbformat_minor": 5 }