639 lines
862 KiB
Plaintext
639 lines
862 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"ISYE 6669 Homework 4\n",
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"\n",
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"By: Mark Pearl \n",
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"\n",
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"Sept. 17, 2020"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"from scipy.optimize import minimize\n",
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"import matplotlib.pyplot as plt\n",
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"from mpl_toolkits.mplot3d import Axes3D"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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" fun: 0.02183880722146802\n",
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" hess_inv: array([[ 1.00000000e+00, -1.78970444e-07, 1.49529676e-09],\n",
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" [-1.78970444e-07, 2.75764507e-01, 1.91203618e-03],\n",
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" [ 1.49529676e-09, 1.91203618e-03, 1.12731876e-02]])\n",
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" jac: array([5.96046448e-08, 2.95559156e-01, 2.23586226e+00])\n",
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" message: 'Desired error not necessarily achieved due to precision loss.'\n",
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" nfev: 340\n",
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" nit: 5\n",
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" njev: 82\n",
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" status: 2\n",
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" success: False\n",
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" x: array([1.36503469e-08, 2.14777957e+00, 1.33333333e+00])\n"
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]
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}
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],
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"source": [
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"##Q1\n",
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"func_1 = lambda x: abs(x[0]**2-3*x[2]+4)+(x[1]-2)**2\n",
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"\n",
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"sol1 = minimize(f1, x0=[0,0,0])\n",
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"print(sol1)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"From the above plot we can see that the following solution has found an optimal solution at\n",
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"x: array([0. , 2.99999999, 1.33333333])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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" fun: array([-28.38478066])\n",
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" hess_inv: <1x1 LbfgsInvHessProduct with dtype=float64>\n",
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" jac: array([-7.1054274e-07])\n",
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" message: b'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL'\n",
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" nfev: 20\n",
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" nit: 3\n",
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" njev: 10\n",
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" status: 0\n",
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" success: True\n",
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" x: array([-1.41450924])\n"
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]
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}
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],
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"source": [
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"##Q2\n",
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"func_2 = lambda x: (x-1)*(x-2)*(x-3)+x**6\n",
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"\n",
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"sol2 = minimize(func_2,x0=[0], bounds=[(-10,10)])\n",
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"print(sol2)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"From the above plot we can see that the following solution has found an optimal solution at\n",
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"x: array([-1.41450924])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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" fun: 2.1026487223951748e-08\n",
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" hess_inv: array([[1.91706262e-09, 1.25195345e-09],\n",
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" [1.25195345e-09, 1.51383874e-08]])\n",
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" jac: array([2.44043117, 0.91918012])\n",
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" message: 'Desired error not necessarily achieved due to precision loss.'\n",
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" nfev: 195\n",
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" nit: 27\n",
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" njev: 61\n",
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" status: 2\n",
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" success: False\n",
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" x: array([ 0.35714285, -0.42857143])\n"
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]
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}
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],
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"source": [
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"##Q3\n",
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"A = np.matrix([[2,-3],[4,1]])\n",
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"b = np.array([2,1])\n",
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"func_3 = lambda x: np.linalg.norm(A.dot(x)-b)\n",
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"\n",
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"sol3 = minimize(func_3, x0=[0,0])\n",
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"print(sol3)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"From the above plot we can see that the following solution has found an optimal solution at\n",
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"x: array([ 0.35714285, -0.42857143])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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KkXYu9CRFkgRJU3AKnYQWxnDXLbv43Rd/iFMes4F77tyfBdpUAggszjdZGz4wmYUPBRdI9hwKLszdel8zS2/znvu8e1aB1Flaqc+8KzGVVpm001QkwWt9Cdd6Bqb07GX4xgoeDCtS9C6dJm3/N1HrW6TR9Vg3jpdb7Y61VlUc0NaE2CmxQqTQVGHWWXZHJe5uD7OttYrdrX4ONGpMzVepN0qkTR+aBqkbvLrBaxlsWwmbSrWlmfXuEbVtJUjkGBuusHHTCHsO7GV85xSgSOoycat2utOzZ89DjQErYC3qGdRa7tw+iVaC7hi8+iYfist66NMgF7xP3pbP3Po0ABco6iv4DrFgjCJAqkLkDM00YDqpMG0rjKcNatJmRAxm+o242lswtaI3/5HACSN61RRN9xFH1xG3ryaJb0XT3YjO4JFksSYiGAQjggXK+XudKA6lnbvidQe7E4974352RcPsjYbY1Rxgf6OPmWaZRisgagVo3SItg2kZbNtgW0K5pdgITDt79pqKFyWYWDGxw7RTbJRiU0WTFEkdJSu88Z0v4VkvuTDLTqPKld/+Kf/y/v9k97YJ0lTBCCqCeBbNt/FMJnzPoNbk02INzho0F7p6QuoviD31ycfle8TuZ4J3fi56D8Q4RJTMlzHEamm6TPT7zQAViajKQaDJsC3hzf81aXIXZuD9RY/+cc6yiV5VUW2j6SQu3U0c30UcbyNOt5Ome3FuEtF5hAiPBINiRbHkE8BEEIRs2ndmAUUEH/A7N5Gs80wxKJmwo9wNj1SpK0yllm1xhV3xMHvaAxyI+pho9zPZrDDbLNFq+0TtAG1YpC1I22AjQ9ASvDaYKHvYSLFtxUaKiRWbi9zGDhM7JMkfcSZ0TR3ilNPPXsfbPvhK1mwcWfTZOBWC/iqJnQZfwBqMZ0hEsgrAGlgkdMnSXHnSjaFP/SzCrrOdzaLLp876LPTW+4oLO4J3GOuwVjAGEEFViFObBemkIQeTGhUTUZKIlHlibTJmSwStr5Imd2NH/h8iZQqOT2Q5Eh1edF5Jr7psAyI/W0yPquYipvvsNBNzSpavvdcNn0st+5KQvUmNfdEA43Efk1GVg+0a01GJeiukFXlErYC0ZZHIQFuQyGDbgm0bTL6Cq4lyCx6TCTpSbJI9myR7ZG1uxSQpkiokDkkd4hykDpwiLhN79kcoOAci/NLrLuGkk8fYfs8BfvztnzIxPkdQDYlih7OC2NyaG0F9g9pM3Bhw1nSnxKaeQEfktjPunovd5nH1/kKnXceld14u+sAhvsPzUzw/oVZKCf02FS9iMGzR77cY8BsMe/NsCCYZs3OMeHVGTcxJNqRsfBQLpV/C9L0JKaL2lgURuU5VLzrca8ti6R1KXRPUZe1mB6SaPWLNcq1Hamg4Q10ts4nPRFJiPOljIq4yFVWYSSpMRyXmoxKNdkAz9kjaPmnk4SIDkUCUCdjEsvCIwMbk7jZUU6UvIhNurEiq2DhBYsU4h8S5UGPNOtBSzUSbi1lUsz8ARXrrTwGUzA3PLWZmmW2Wiy5/aH78c1+5PnPbTbavY31ENkthlR0jS0ttJROvlcy6W3Irnz1j8zBar/NaJ9iGrvDxsqG5zvCc+vm4fOAQz2G8FGMdgRUcDlXBIUSppW0NrdSnLiUOJIMohkg9Iq9OpE1OsilV4+O1Po9rfR71H4fp+yPEP/dnruQLHhqWRfS3To9x7pffAEkmREkE03nEYFIgIbeymlnaNHtIvm8TEKdIomyolnn6xadz+eW3cOopq/jAX/5/fOgDl3H5ZTfziy+5gH07DnLtlfcgZM2CJMoXX9ceiwvZNvmxDot+p5J3nJEFupClic7OyYUMqAHt7Ev2yHLQke0bcNIR/iHbnTRVVvLjmWDVSP6cn2OzlFadY2oXXtfOcdvzugfOZj3z2fF8PN4DrMuH6RzGT7GeY121j4l4Kv9YhEFvkEin8Kgwn0xiUIwoiTM0PJ+W+jSNR12bDEiTIWOomQA/uhoOvowUD7yzMOVfRMrPR8zwQ/DLKnggLIvoJRZKe/1MxN1H7iZ39l0meEnzeR+pYvPzJAVRCIxQDUJmJup87Ws3MDpa48/+5BcJAo/XvPZptFoRX/nyddlNfUNfX4kkSpDAkMRuQdvS89xrjWRB/2qk55zcgkMmSnJxQlfU0CPgfOEIpCf3nMmFLPk1DIsqho54s0qBrKLJjy+uHPKKxy68PxN9Lm6j2Xvy7d5nrANPsSabYGO9BcHvb8+wtlplIAjZ097H5tpabpyexosT+rwRZpNJACJraWpAPS0x75WY1To1ieizLYZMmyEDNeMRkODFN0FyMzr3blIsKkPgnYoET8CEj0PsJjBjRUfgQ8yyiN7EUNnjsqFgzQQuaSZ4dEHkopq9piy0g12uKQU/8BgYDDnz1NWccvIYP/e0MxgZrpEkKf39Zf7gD1/Aq/7HU/jJlXdz003b2bZ9kjaaWcVASXUhO0wmZBaEn+933HOF7HmR1WaRqLu54rvHWRBw5/2m5z5dK79wrY6Yu8KGBUF3KgjJhdsVufZcW7uprrjPfm7RBRCHeHmorVE8oxjrWJsL/iUbz+Oyfdfz0o2P5dLt+1hfXsX1U7fzpJHHcvXBGyjbIWaSKSL1aKcJDRsw70LmbJmKiSinbWqmRb9p0mfaVE1ETRw1sZSNxcNg5AAmGkfiK6HecboURXBYVEJUqmCGELsaMWsRuwpj1yNmFdiTsgw+ZgCR4CH9zZ5ILEtHXnVkg57xgt8//Ny8noCQRftda3yIJRbuc51Dj2mv4cgF3Xm/69yj9z1da36Ya8qCgHuvqbL4nN77u1ygdN63qKLRxfeTheP3ud4h53cqh6ymBEzva1kSjM79slZGFnAjJhO7GPANOHGAMhAGzCctHje2nr2tg0xFdT7/1N/ltVf+HRePnYGRiB9O/JRzBzaxu7kTI20828JKQmiUQGIqNiIwCaGJKZuYsmlRNTGhRJRMTMVEVKVNWRIq4igbR1WEQAyeGCxZdGNndEbysZn76w/I4ioMiEHxUUpgqiADWaVgRhAzithV2bMZBjsEMpiFEUsZKJ0w/Q7HXUde0qdMPDVZ3HY+tO7RIxw/LEf4oh7M93d/7zlKRXXk/Z4/Rg4550jnduqm3jque0wPOe4WLpWLPu9KIG98gGjPMQCHNQL5UCgCoe9wxnHLzHaeOHoqv3HKz3FybYxf2fQU/mXr9/jDM17EqX1r+erunzAdpQwGZVqRYCShYRyhCZhNwiw82SR4ogQmwZcUz6QEkuKbhEA6j5RAYkKT4hNTMim+JISSEJJklQeOwEAJRyDgIWQDFLIQdwH5c2cYN8LQgHQKYdf9Vxg92047o0MLr+WfIFnUQsdtsqh45D2ggA8SgoSIlEBKIBVEyohUQCoYqYLUEFPOXjMVoNI9L3tPAFImS0ZlofOMWbIKaVks/ZqzBvVXP3MJLu8VBsm3yZ8Nqtn4cObRS/eBZudmneb5eyF/D4B0A9gcnWt07pN/cUr3eKffLu0xq/m6Drm7mV2DzjadH4Qsrpec5D+Khf5BDjmvu7/oOgv9iNnOoecDPWXvffE+fRL3cZMOuZLc99Te+1a8gKevOpPnrTuPzdUxan6Jfr9Cqo43X/9Jrj94L288/XlUbMg987u4Zup29jTHu516Rhy+6Wzn++Iw+cMThxXFkxSTb9v8HCsOK2kWGSlJHiHp8Ex2zCfJtnFZJSKLtwOy9/n5fXwcgSieKB6KD93KwtIJ1KIbrCX5NnSco2xbRLofVffYoj265z3U9Gp18Ter9/nNBGvvOaKlXxbRX3heqP/1zbV5++1Qo75wrPtQ8uCahWMuP57mb0wRHFme9pRsP0WyocBcaClCopBicBhSFZK8ksmOCalmx1MMTk1+HZsliMzj7R0mCxdy2XbnfQmCqulWZimGVLPX1RlSBYcl67rIz9OFCs11Kqi8AknzfdXsvd11YzWb7uogL0NeOapZqCjzSlTzto0iebh+p8Ix+ee6uELrrQ0E4VdPfjq/ecqzqCctfuvqf2RnY6Lnm1yo/jIvRHNPIqtiM+EvVHsiLrORolnzQnpsp3H5yGY20ceSvW4BkTQPyHL5SKdiyCoNwWEN+TcIljQ7xzgsWWWSvTfNg7vyCoaeigjNXs+v6eXfqs0rIx+X3zPF714jxaD4Qn4N8vdqdj2yCkby450KJvubFyqWrOmy0FpcMD29lc3iSmWxk3hI5ZP/V1679fhy7w1Cxfj3f+IScPjaUfNwnsUVTe/5mh/Vnnd0KppOdF/mmWhW4agjARKFmLzSUSHKK4tEhUQNCZZEDTGGVDvblkQtaX7c9RxP1ZK4bNthSJ2QaBajmFVQeSXV85ydl1VCLq+EUme6FVl3v1M55RVHYHzWl8d48uhjWF0a5tqDd/Oprd/jhql7+fBFv8VnLn4TU1Gd6w9u5XPbr+TO2X200njhw+40TQ4ZAe054b7fz338oJ7n3ubJYd7Zvbgs7kaRnormUL+sI7LuebJwHdNzfmfAhbxi6r1Ht9rsVHTk18krJOleT/OKsPOcvd4pTzZK67r7nWaWyd/Tec0CiOu+p1ORdXzLrIIDcD3X3HrYTw2WKwzXPwdZfQ0dm4xmMlFNQNtAC1wbaKOule/XUW0CTdQ1QRuoNkCb+XMLzR9oC4hQbSMaA3F+j6R7T9GsUZDbw64D3Tsyt+j5QUUPZtfsVCBOs6oi+wcpSqqOWDV7AFFeUUQYYpWsd1wtsXpE6hGrJcYSqyVyXl5heLTz7djlFYZ63e2sQskqi8jlHowaAlNlLk6JnFLzqqwrr2FXY4Yv7LyC95//W7xg3Ss4pXYSH7nrm9wxu4dzBjeybX6Cd938FYaCKk8cOZ1bpvaypzGDqjAUVJmLI9ppms0PyiWSOqXT7CJvenWaVZ3mzoJGZVFzR3u03e1Z7bqAPd/Jou382XHfY73vz++/6PXDOb6dukW573UOPe9IjvOhLS09zO/pKPd+oMel+9p/HOGNyxh7n4kon7AqYXZsuQpzP2TWP84qE23llc4MuGlw0zg3BTqJuik0PYjqDLgZ0HnQBqItyOx2Xosf+T5dL0KVFEdKTOzatNQRobQ1i1ZsqqGtPi31iNTScgFtPCLn5RWFR9v5tNUnUkvssmOJ84mcIVGDQwmtMBoO4psSd8zdzUvWPYP/Hr+TP7rp4/zleb/FWQPrAWi7mGsn7+VN136aDZURfvv0Z/Pma75En1/irP4N3Dp1gAONNqH4xHHWXPDEEKeKqiCaRRxnwjCHtNPMwjbZs+QVgfQc7xxDIR9wyCqW/Jy8ZZG/r+f9nff0irdTlny/97zcsCOLOncWriEdF2ZR2Q6pFPLyLBzTxeXUQ1/v/N09ZezpHOoti+m93qIya/faR7bzJ9Asu4eSrIIK8l7afsQufv1nDSVRTcDNoG4S0p1osg1Nt6PJDkj3IDqBpw2Czi/KLK4QEnVEmtLWJm1VmgpNNTTySqDpfNoa0FCftgtoq0fL+TRdQEsDIhcQOSFWh8ES2pjx9l5GwjJf2X0Fv7jumfzX+O380U2f4O1nvgqARtLmPbf8B2sqg/z26T/PW675EoHx2DNfZ7IRMehX2Ttfx4iQJhYcWR9ImgnQOc0CD/K4a1FZEJ6CuB7xas/rh+xL9/z8u0nzZ9fzrIec17vfEVNHlJ0yHCrSzjmHirPnGHnsSG+F0RXkogpMDyvwjksjuWA59PX8WLeS6I0c7Xlv95xDXjsSheiXAREP7AhiR8A//YjnqTYh2YXGt0B8PcQ/xaQ7CHWeEn4+Np01Edqa0NSIprZpqtBQy7wLqLuQlga01KfhApouoOlKNJxHpA5PLG03yWBQpp1GDIcBX9n9XV649ul8bsePuWH6bgDumN3LeHuOl2x4PG+55kv4xjLZbLO5Osq909NEURuXZh2fGhtEhTQlG9VIQdSQ92BmAndg3IKwF233CMx0RNsr7p6gro6wO8FbnWOmY4U7ouvxGsT1iDbfNz2WVZwuXB+6ApWO8LTnGAv3Bl1cyaALyU563rvwWv7cKUtH/J3DunDdheZHz3m92r5Pm+jIFKI/jhEpg38a4p8GvLR7XN08Gt0A7SuQ6Er8dCsBHlVVIo1paEJDE6qS0DAR8xoy74JsbNw4/DQlkJCmGrKkXoKRgMi1MRjWVvr4jz0/YHN1LT+duReA22Z24Ynls/dcR80P2TNfZ2NlhHunp/HFzwQegzUexCkehiRWPDWkST4ZKRWMA03BpLIg6p7n3m055JHNUlyoCEjB5FGbC+/T7rZ0tnvOwfWINwVUMd0KoyNaBefySiIvu8trgDTvqOuIuVshdMTdOa7dioJDXzv0WPal9lj5vNZbPPZLt9PzkOO9Z6Dcbzu5EP0jEDE1pPRUKD0VIMtL0PpvpP53lJLbCdSnpDGhxAQuwdeUQJJsWEn9vBdY0RQ8f4x5A9NRg6otU/MG2F6fAixVz2dPYxqAqajBSFhj++w85w9tYqaVsGN2lg3VYXbNztFnSmgAB+daDPkV6q2IilrS1KGxo2p9mu2EEEOauO78Ck2zKQAuBU/BJdm+5nMusvN0ceWQaFfgkoJV0FSxTtFOxaDkOQuy3nASB2nWE65Jlm7MADiHpplIPSu4KMn2FcLA4uKEpB2DKr5vKVcCklZMc7YBgB/6rN08yuBojdZ8k1137mN+ugGq9A1VefovPZ6LnnUO1b4yYSUgKAWEZR8/9AnLAXddv5XPvv+rbLttFzPjc0f4woVuZFY3wkqyJ2vpDnWIyccCj97gLER/AiASIuVnoaVnQnQ1MvceKskd+GrxaOOrI3BtrNU89V2l60bOpJOI1hgLh5iM2hxo70EJGAn6iFyL6Xge8JiLmwQm+7ncMXWAk8oD3Nk8yNbpKc4YWM2dBydxEZSNTxwnmSUHkrbDpoJLHCbJf7dRHjGc5uLWPE+B5rkLFEgUq4Imis33Fwk+zSy0dOdpZM/W5dl+4mzbqKJJNgXaKLg0zd7Xca87r5E3A+Ik8xBQLB6uHSNRAqokbcBCtewT2jJzk/NEM2223TQPwOqNozzh5x/DWU84lbOfeCobH70GY44uwAsuOZsLLjkbAOccV19+M1uuuZett+5i25bdHNg52fmSQQTjWYxvcU4zJ8EY6M7SzDMpGQPjR75nIfoTCBGB8AmY4Mvo/Ifx6v/IgDH4GhEQYzTKoucAyCaopGpxaplNHUJAICGeH6AqTEUzaN4jPBs38aVM1QuYabVpz83S55UIPJ8tk+OUJUCMkESOKFLK1idqp5hECLHEcYpJAHVI0nG/QfNt4tw656LuzLy0nVmVeR4Dky4IPWsquLwCcdmkrY7IXeZya+Iy975nu+uyJ2nuVisigovirsttPQORQ9sxmoseVepxjAxWKFdC+jaNYIzgkpS4FRE3Wlx/+Y1c843rSBNHEPo85qln8Nhnn8tjn3kuI2uHDvu9JXHC9754FV/4u8vZcfseAFZtGKE2XAPPY3zvdHZ/YzChnzf/ZXGOxK7oJTt2FArRn4CIeEjfm9DwKbjp36PqJrAIaIwQo8wDNbIYM4+UNkqAkLUb59Mm80lMI/URfESUuaSFj6HmlWiZNvV2jEtSQpSaF9JupSRtRVKhYn2SyEEEnsuHkqJM3EYF4twF7+RNcCD5NGqbb9tUIHFdq2+cZs8KmrjMlU9ya95JaqIuE3av4HM33sVJ3nbPRJ4JPhOyMULaEbxTxAiVSpmoGaGtCI2T7msJMF1vEg9U6B+uURuq0jfaR22wSqkaYj2DSx0Te6bYessOvv+FK/n+F64E4NTzN/HWf34DUZSw66597L5nP7vu2sdNP7yDqfFZhtcMcc7TzmRuusGOu/YzPtmg1F8hHKzRaidgDanv5aOcAl5m1bup0wzZ+gamEP2KRYKLMKOXoVOvpxRfT+IgloSypLSlRQtDgMUXi6EJ0J1rIJgsuiwfOI5dSpRGBHj0+SWsU2aTmFacQOyoEDBUCmhHKfV6hI2FwSCEWKnXI3xnGAxD5uotiGGoXKI+38akUPN95hptBkoBUSNBUqUa+Mw1Ggz3VZierDM6WOXggVnGhmtMj8/TVw1IWwmtepu1awfZde84GzYNEzUiDuya4qzzNjK1f4Z928Y563EnUy773PCDLVSqIU970YX0DVb4zmd/zMTugzzphRdy8jnr2Xj6GjacvoZ1p6zmq//wLT7+ts8C8AuvfxYXXHI2wycNMnTSAMOrB2g3Y/beu5899+xnz7372XPvAfbcs59928aZ3DOVxXZIZn3FGoJywPZ7J3j9k/+s646LZGLFGKRcZmou5uAtezL3vK+KGqHRSX5aClErmbhtZuGdZ/LkKlkexE5WJecVol/RiOmHgfejE8+lJJZIYtqilE1CSx1tIFAIjOK5Trx5JwxUF4W3Ri4lcRGeClY8+ryQRGE+imnGMVGaEmJZU+1jerbJbL2NnwpD5TJxK2FqtknV+gQlw8xMi37fx/rC3GyboXKJqBFjYqVa8pmdbLB6pI/xfbOcNNrHgT3TrF8zyN5tk2zYMMyereOMjvVR8Qx7t45z4eNP5tar7qVU8nn6c8/lR9+4kVIp4Nf/6AX85OvXc+0Pb+fJLzifN/7Fr/D9L17FP/3pFxkc6+f9X3sLj3nyo+/zub3sTc9n/Wkn8dev+ziXffL7bLn6bgbH+jmwc5KJXZM05lqLzh9aPcDQmiGG1g5RGqwysWeadjPKxG0thAFpnCClfGVQzy60wa3NBS1gbNeKq8kSn2ZizjIbq8kToHbSpnmG1JInRaW7fdTfxLIkxrzoIr322msf9vuuZNzcB6H+j9RdxIxLmHbKlCszlVaYcVVm0z5m0iqzaZnZ2Gc28ZmPQ+qxTzPxaSU+7dgjii2aepjUx6QeAT7EQrOZZG34WPASoWYDrBOajQjXVqrGI7Qejbk2rq2MVEq0GjFRI6E/DEhaCURKrRQwO1lnZKDC1ESdVYNVJsfnGO0vMz0+x9q1g+zeOsGjTl3F9jv2MTxcZbC/zL237eGcx51MfWKWrVv28KTnnMvm01bx7//4HfzA4w3vfQVnXLiZf/yjz3LNt2/hic87nz/48GvoH64d9XMb33WQL3zgP/nR165jaPUAq9aPMLZ+mLENI6w5eYw4Trn5R3fy31+9jrmpOgBDJw1iA4/JA1lvvHgWG/okSdYuF9/iJBMunu3mSVRroJPZuJPs1C48XJ7tOO3kQPSyZ9fJf5gfUw+2/OUfHF+z7ArRP/yoa+AmnolLx5lxLWacY0oDJpIK067CTFphKsnE30grzCYB05HHfBzQiDPRt2KPOPZIYksaGzQxSGIIU49APUwqSCy0mzEuynIZhmro8wMa9ZikmRKKoWp96nOZa98XBDRn23gOaqWQ2ck6Q7Uy9bkmtSAgakaEYnBRQmANjbkW69YNsf3OfZx+5lp23rEXaw0XPPEUrrz8Zmr9ZV76mz/H9754Fdu27OHxzz6H//meX+br//Q9vvrR72I8w2/86cv4hd+65EFNh3XOseOOvVzzrZv59r/9hB2378ELPU6/4GRSVe65dTdp4qgMVEmcEkUp4lnwbJZRqbNugZHutvMyS59Z8EPSmVsh9QA/e3Z2IY15x7o7SzfDsfOy9Qu2vu0tx9csu4KHHzGVLCvtzFspiUdDIgLNElYE+RRSTxxCjNM2Rnz8fLz3UG1oz4Y6aCcpUeJyK28Y8AOsFVrNmKiRMt1sUTUeQ31V5ueazM22GC6X8MQydWCegVJAfzlk365pTtk0ys5tE4z0VXCJoxQGeNbQThylwOMxF5/Kld/bwite+zQ+/49XcO7jTuZ5L3scf/X7l/KU55/H77z35bz9l/+OmYl5/uSTr+NJzz2PK795E1/8+8vZ+Og1vO/Lb2ZkzeAD/txa9TZ33LCVLVfdw61X3c2Wa+7JxuFFGNswwtrT17Jv10G23LQTvxwgYQA2W94Ma9GyB77JLbvpWnTn9aQx71hxu1jozs8zGvsLbfVu+vL8ka1hoF2xq6dZe+0oFKJfSYTPRsnSUgUiWDrzyZMsE00+b1wEVF03uUSXTgBZ50HPdv5wTplptOn3AvqDEommNOsRzVaClxhW9fcx4+pMz7Z41Koh/OEak/vn2DQ2RLOvxYHd05x/zkZuuPpefumlF/GVz17FK171JD7/yf/mt9/zS/ztn36ZZ77wfFyU4PuWd/7Dr/L5j3wHz7e8+YOvolQOiFox5158Ghc/73wAHv/z5/LUX7yI//7Ktfz46zfwC795yWE/niRO2HX3frb+dBdbrr2HLVffwz237MSlWTTe2IYRBk8aQq1HY77FxPg81cEq+D6I4IKAVBX1DfiZZX/AQu+47b4sWqcgW5KMBRfez8Xu965X4CBfjsz4DhukR/0ZFKJfQYipIv452OhGLGTClxSLYomxEubj+Eq2+oBijuICC+Abi0o2TRjoin++GZGQUrM+o31VJqN56s0IiR2r+qscaM2xfedBHr1xjNZsmzvv3MvjLtjMNVfei6aOvr4SW+/Yz+iqfrbfs5+hkRrTE3O0mhEveMUTeO/vfpoLLj6NvoEKt1x5N48+fxOlchZ7YG0W9dfBepa3fvQ3iVoxH/nDz/CNf/kBfUNVaoMV+oaqRK2YbbftZtdd+4jz9OhhJeD0C07m4l+4kKmJee756U4mDswRViJqI300kywoNjE261kX0JKPSxXtDqUJ6tncXc864pwRyEXubL4KUWffW2ibd8XdceX9Bde9u/yYr+CnmCDF+g7fTygFCWU/5p6j/A4K0a80gqdg4pvzBJRZSikjWd4gL08q0Z2i2X2+L54YrPXx1UO8PAWZU9Q6XJKFsUZxyrRLsaGwqr/GxOQ8zWbMZFxn0+oh7p0fZ9eug2xaO8zdM/uYmqizbu0gP715Jz/3c2fw/a/fzCtefTFf/NQPedmrn8Q3v3Qtp529DlLlwO4pXv27z6I+1+KuW3bxit95Vrds1rO4dLG18wOPd3zyf3Lp+77Kzrv2MT9dZ/fd+5mfaWCMYfOZa7nomeew8Yw1uBS2XL+VH339Buav3UrfcI2NZ6xn/55pZqfqSDOmNFSj0YhI8nUEVSRbEtxTxLek+UpEad4Tn1nqXPgdC95Zeqy7v+C6d9vofo/QO667n61CZIOEwE8J/ZhSkFDxI/r8NgNBi58c5SewJKIXkecCf0sW2vwJVf2LpbhuwdIjwROh/g8E4mElwtM0S/EkSpafpxPxqYBjZs9q9t1xGmkrRIIIs2433kAdYyykmdg7eeaMAet5eCK0XEwcp+BgaraJV6mwarDGwYl5Gs2YRr3NxjVD7N5xkOnJOmefsZYtt+zmaU8+jb3bJpE0i3UvhRaXOk4/cy1f+PgPeNO7XsJPvnsrxghPfOZZ3HnjdlzqeNSZ67p/o7WGrVv2cOvV93D240/pHg9KPr/xrpct+jziKGHblj389Mq7+OlVd/OtL1zF7ME6YTlg45nraLcTdty1n/nb9zKwehDaKc1EqVQ9NFVSa0lzN955mdjxs844Z3OrbjuWvNMm711TUBZZ9EPFrh2rHqRd993PxV72E8pBm5of0R+06fcaDPotBr36UX8Dxyx6EbHAR4BnA7uAa0Tka6p627Feu+AhwD8DILf02WQUm6diEsnyuXUa7OM717DnlrNQlyUQ0Cgk3b4Js2EP0l/PEn2krmdqrGAUfGuxYUAziUiSFBRm5lusG+xjqK/MZKvO1FSDMzatYjdwcKrOY85cyxagEgYYI4gqI2N93R72sdUDABhjGB7rxzll/64pNj16DYOjNT7x51/lrItOZnhVPy/+rUv42J9+ibe86G941DnrGVs7RN9g5s5X+0pMjc+xd9s4e7aOM777YDbXHxhZM8iqjWPURgfYs22Cu27dQ/9YH+FglVY7od5OMJWAJHW0FDT0UN/L2u650LHZuPliF75neC1fb3DRmoL5dtpx34NDrHrgsF6KH6SEQUw5iKl4cWbVwyb9XotBr8GwP8+IV2fEHmHiTs5SWPrHA3er6r0AIvJvwIuBQvTHIzKAEiKSYDuJG+nkC15w7QXYvuXMruC7OEuyZzW2/94sXbRzuFQxqcGmgiaZ+2pFKHke9XwifJI40tQReNlPrtVOMEbwPUsSxXhedh9rDapKpRrSbESsznvaK30hQyM1rv/xXbzxHb/AP/3l1/nm567id9/9Ut71ydfxR6/4MO98zcd4/+d+h2e+/Ak8+fnn883P/IirvnUL43um2HrbbuamGzTnW/QNVVm7eYzTLtjEmY8/hfm5Fjvu2s+B3VNMTjYYXT/M0PoRDk7MM99MKPWXssjdfLVgtQYXeFmGo8CSCIhnSLNsmDg/23a+5KsG09NJ12vNFw+zOV/RQLPphkHHhU8J/KQr9j4/oi9o0ee3GPBaDPt1Rrx5hr05RmydMVtn1Dz0HXnrgJ09+7uAJxx6koi8DngdwMaNG5fgtgUPBhEBO4ZJGnlyRXdI9N1CHqmoefjlpjXOEnikLuutl1QwqZKmgk0gweJh8ayh5Pu021nyzChK6AtCSoFH3I5BoVoJmG3E2Hw2ms37ByqVgEajzapc9Af2znLhxady7Q/vpNpX4mnPP4/v/ccN/OqbnsPp523k7f/4Gv7stZ/gVRe9k/OffBqPf8ZZPOUXLuQlr3sGzjlmpxpM7ptm/86D3HHjdm6+8m5+/O3bcKnDCz02n7mO6mg/O+4+wPhEneGTBgj6S7SjlNQYNPBwfj7ejuJ8Q2IysauV7mrByeHE7gku4L5ufKe97uVi76wa7Dm8MCXI2+plP6YatPMVg7PHkD/PqJ1nxJtj1KszahqMGmXQBgRSOupv4GHryFPVjwEfgyw45+G6b8F9EbseSXbkKaOzCTG92VU7nXlBuUnUrNz3/X6cufaqSG+ysHxIrx0n+NbgiRB4ltSmpLGj0YrpD0NqlZCpuRjnHJVywCx1rM1FbzOLX6mGxFHKyEgWMXdg3zSPvfg0vvsfN3LXbXt46a8/lR98/Sbe87uX8r8/8Eoed8lZ/PUXf5fvfeU6rr7iNq76zq3AFxga62duuk4SL1g/6xlOPWcDFz//fOIk5fabdnLX7fuoDZQZ3TjMvr3THJxrUukv06JNYgQp+SSdyDi7EEyTWEEerNh7e+EDh/gpXuC6Yq8EEVW/Tb/fZsBvMeg3GPTrjHasujfHmG0xaqDf+ATiZbMFzXrg7iN+/0sh+t3Ahp799fmxguMVs47OglE2t/Kms0qOaHfRh41n3co9N1y42MU3Dm/tfu4Tydmz245TSmSpuDwxlAOfeqtNO0pQhcDP+wiU7nxzk88M87xsv1zJht/275+h1lfiJ9+/nbe86yWUygF/+bYv8N6Pvob/9b6X8dd/+Dl+7ZL3cfGzz+aFr7qY173zJbzh3b/Ejrv2c80Vt7Hj7n1U+8sghiRJmZ9rsWvrBHdt2cPtt+/DL3kMreonSFLm2jHJXAu/WsoCjgANPNq5Jc9msJGHwmaW/bBu/LGIPYyp+DFVv82A32YgaDLoNxj2GrlVn2PUzrHKthk2Qr8J8CWvuv2zkf534QWP4Wjpc5ZC9NcAp4nIyWRi/xXglUtw3YKHCjNAd6GF7mMhX3vnedWG3bSSEnvvOJW0VUKCCH/9PuzAPFH7/m8jSCchHACeNRgjtPIx9HLJZ8fsJMZIt00flLL1EIJywPBIjc9+6kf8ymufyif+9ttsvWs/f/7R1/DON/4rb/7Vj/Pej72Gj1/+Fr7+2Sv51peu5b+/eQuQWfKw5FOqBCSxY3ZqoTfb+pbVG4ZZe9pq9u+dpt3OJgKFfSVasy1aTjGBhzNC7JtM3L7FiYKXufTkos/GzxeLXf3etnpnO+uceyCWvZZb9n6/xVBQZ9jLLbs33xX7mBGqJszELoIGF2P63o31H1iz+ZhFr6qJiPwOcDmZt/jPqnrrsV634KFDzACdxRsMkC2kAN2FHViwE0Pr9mHGJmjGAY3IR9KQNPJyS3+U2PV8ReBefN9iRIjiLADG8y1z9TYnjdSYnWsyNFTlwPgcw8NVrr9+Gy9/1ZP46N99m1e+5imsXjvI+//k33nP37+av/rkb/GO13+SN73q//LEp5/JYy8+jb9/9cXcdt029u+eot2MabUiWo0o608QQ32+xZ5dB9m9fZJdu6foG6wwuHqAAwdmabtsxIHQz2aphRaX5kNvqnlbfWH4LT2S2O8zxp5Z99R3+bBb7xh7ShAklIKYsp910PUHTQaCFgNeg2G/zpg3m4t9nlW2xagR+k2IJxbEoOHPY/v/GLGrf6bvf0na9Kr6DeAbS3GtgocB0w8sWPmF9nz+8v3MQ+mNwj3aOZ17dJoCvrWIQLMdY410XfvRkRp79k1zzlnruHXLbh73+FP48Y/u5A/e8nz+7dIf8flP/4R3f+hVvON3L+Utv/nP/Olf/wp/c+nruPTD3+W6H93JFf95IwCnnLGGal+J2elG9phqZEOGQKnss/bkMU49dz27dh5ktt4msYbqUJXZuRYtdVDxsoU5fLMwbVX0vhNfema1HRo5d6grn42zu8yyBw7rZ0NvpSCi4idUgiyYpt9vMeQ3GPIbjNg5xrxZxrw6q2wzb7MvWHZKL8L0vwMxh8/Ec38UEXkrEcnHvDHky4Vmh48SgXcoXUvfq/5DagI55LCft9ejOGW0ViLNM8wODtW44YZtPO2XT+O/f3QnL3vxY7n8spv5/ve28PJXPolPfOS7PPsFj+GD//yb/PHvfZq3/86lXPLcc3nhK5/Ib7z5OYzvneGma7Zy45V3E0UJYyf1c9KGYbQTFThVZ8fWce6++wB+6NM/XKHplPk4pVr2cWWPVj7slpCJPMGAB86aRZa9O/GlNw7+sBF0bvE4u5/idyx7d+ityaDfztrsfp1Rb5ZRb54xO9e17LVOm10EDZ6GHXgvYlf9zF95L4XoVyK5hTC5j98ZrjNdG+6O9m66a/wdbmmmHBFBRFC0K+4w8Elzq796rJ/Z+SwRRX9/iWYrplwN8DzDPdsmuODCTXzwb77B/3rz8zjn/I28/8++wmtefwl/8lev4Gufu4pvfe1GvvP1m7r3K5UD+vrLzM81aTaivJxgrGForI/qcI2p6QZtgdl2TBJkK77V1ZH6JnPdDThrSSxZ+91mYldLd1rrfdrsh4bKLmqzLx56qwRZmGx/0GbArzPkNxnx63kH3Syr7TyrbMSI8SibbBaiAuo/HtP/51h/08/8VR+OQvQrkY7oRRZWcBFd3LEnR3bgH0gKhk5WZgWi3MUOA4+olY3Zrx7r5/pbdrBh7RDTc01WjfXxo6vu4fnPfQzfuOxm/vmjv8HffegyPvg33+T33vQcSiWff/7HK/iXj36P8y7czK//3rMJfcvcbJOpqTqzUw1mZhrEiaPdjpk6WGf/vhlSpxyca1IbrEDFxzlH0gmekUzUqUhm5Y0eJklFPof9cFb90KCaRR10KUGQib3qx/QFray97jczsXtzjPlzjNpZVtk6YzZmxPqUpYIRg8PDlV+O7XvTg3bjj0Qh+pVI/iPq9OB33PuFEfeFVvvhbfn9q15E8sZDHsBD1pE3k+eLH+gvM1dv84SzN3H9LTv4xWeey6c/fyUf/stX8o3LbuZLX7mW97z35bzzj7/I333ocv7gLc/n9b/3bL73rZ/y/W/fyj988PIj3rtcDRg5aYDVm0fYf2CWKE5ppCmm7BHHKakn2YQYm/fC96ae8vIJMN2JMUcYevN6LHvQG1STEAQx5SCh4sfU/DaDYYvBoM6Ql4l91J9nzM6w2qszZhKGesUufVB7C7byMkQempWdC9GvRLqiJ1+7PQvDZdEMu47g7yvw+xw5TB3QtfQ9boFnDfPNzPUOw+ynNzRUZWa2yYXnb+LSz13JVddt5TnPPpdvXHYzT3rCKbz7/7yMP33nl/ibv/oGz3v+eWzaPMqvvuESmvWIXTsmiGNHFCe0WjH1RsSuXQfZuesgc7sP0tdfpjZSZWKqTtM5/FKWpirxsyW98SRz5f18vL3jwvfOdjtce703gi50GD/B+imlIKUURlT8iH4/YiDMJsAMefOM+vOZC+/Nstq2GDWOAesRShUjgpNB6P8TbOmFDyqjz89CIfoViEgJRzmLv6dH/HlIbmc4r6f13qV3Jab7vQ8L9UEl9DFGaEcJtZJPox1jrSFKsuG7u7aN85QnncZnvnAV//tNz+Oqq+/hf//xF9m8aZQX/8IFlMsBV3z3VtrtZHF5OjcSwfMtYdnHlD0Sp0xHEcYluCBLTxWL4kKTWe+Ohe9Ydrsw7PaA2uuBwwsS/CDJrHrQps+PGAgaDAQthr06q4I5hr05VnlznGTrrOoK3cfmq6A6Gc3F/tyHXOwdCtGvVOw6THIHFkFwWNyiIJ0j/fwEycauDz1DFz871TzTc3ZepeR3h+hOXjfC3TvHufDsDdxw2y7OOGU1X/rGDfztu3+Zfftm+MBHvsVf/Z+Xs3vXFP/+lev42w9/m/6+Eo953Mm02wmtZkSzFdNsRkwerJOk2YqUcZZgljiPmsMzRALOSHcee5aHLu+F722r20PG2f1D2+v51NbAZePrYZzHxEcMBC2GggaDfoMRf55V/hxjdoaTvHlW2Zhh61EWH4tBREgJSMNnYWtvxPNPW+pv9n4pRL9CEe9UTHInRrJZdp3ptYvEL9Dru3cst6Kgh1muqUf4zmWrxiyIPuh6DWtXDfD9a+7m93/5qXzwk9/jnb/9XN7/kct5/0cu573vfAm/90ef5R3/58s8/9nn8qpXPQkcfO8HW9i3byZbUQawviGUgBHfMDE1T5w4xAqJBykmK17eOdcJl+2K+3AufOcR9Ay59fTC2zCb7VYKY2pBm1qQhckOBrnQg7xTzpvjJNtgtVX6TEAglSweHoMLLsH2/QH+Mgi9l0L0KxXvlGxBCwQvT5El4hYCdXJDfqjH6XpXTD1KlE7qstVwOy5rOfAX5q0PVomTlA3rhhGBvZNz/OEbfp73/f1lXPrvV/OX734Zf/V3l/OFr15Lkofsjo7U8D3L/vHZbB03AIHh4RqlvpB2vY0aEJ+e6LlsJZhOLvhF1nzR4whhskHWC9+Z1loNsqi5wbCVxcIHdVZ5M4z5M6y286z22owZj4oJsuE2Bedtwtb+AFt6Tra4xXFAIfoVingng4CH6S5wsTDxRrtj9vdt099P+G1OZ2y+E91XCX1anfxzeSfef11/D+ecvpavffdm/ul9r+aVL3kc/+/L13DDT3dyycWn86SLT2NiYo59B2bZf2CWVhSzZv0Q9VbE1FyTVJUDjQYmMMSlzG2PrKLBIbngbY+VP1waqjyIBt9hwiyIJgzz3vewxVDYZCBoMuzVGQvqrPamWe3NcJLXYJVx1KxHKBaPHqteejGm7634dmSpvrIloxD9SsU/N3sSk62BmI0MY0S7K9z05sqDrD2fHiJ63xissagsriCiOGsmePlU2ZGBKjfdtZu1o/1s3zfFK55zAZ+7/AZe9dzHcuc3b+TX/vBfueicjTznmWezbfsE/5Kv/5bfGJUswYbxhShxmXjzxRqd6XTMZa2O3jF27ckiex+LHjgIU4yftdPDIKYWRvSHLfr9JsNBk5FwnpO8aVbl1nyt12LEGqri4UmAya13qpDYTXjV38RWXvqQDbctBYXoVyp2MypVrKT4QCApnjgMDkvanXgDCy6+dh8LB3xj8T2bBfGl2XvieKGH3cvnya8eqjEx2+AFj300V926nW984HXsHZ/ls5dfz+tffjF333OAq2/ZztRMNo5fHQhpNCM6rQk1IIEhNUrSFTr5oo2Si/1wcfA9Y+pBZ0w9yyDrBSnlMKISZBZ9MGgzHNYZ9edY7c8y5s2x1ptmvddk2Foq4uFLOYs0VCWRAVzpeXi11+J7Jz+039cSUoh+hSIi4D8G2/4RPoJHipE0d/Vd1vPeM922S8+uFYPRLAjHGEFslnsvlTRrGKh2586vGuwDYNOaYS678nZ2HZjh3W94Pm947+f55Neu4t1veD4vfd757N4/w+1b97N990Fmm20OTM9xcLYJAi6AWLOQ2N7Oua4177jx95m7nk94CRdmt5XDiFrQZrDUZNBvMRzWWe3NsiaY4iR/lpNsnTVW8+QUuduukNj1eLXfxpRfRCjBw/RtLS2F6FcwEjwFiX6CL4Ivip8P3ZlOzrxFY/Y94/O5yTcIqVOsZmvLC+AZw2ClxHTUxHWmrAKjA1kGnoG+LAXXX1z6HV745LN5y689g3f8/X/y1r/9WvfSWeHADyxhycOFmSPhfIhZ6JSjZ6it2yEXZlNZ6UTKhWk+np5Z9f5Si8GgxWDYZMSf56RghrXBFGvsDGv9NqMWKmIJJMBKlq8vtWuxtTdjy8/DO47d9gdKIfoVjIRPQOchFI9Aoq6Lb8VhUUxPkE72f6/LnwXWt5OENFWC1BC4LMRnsFJmerqJZ4RK6GONcMXN9zA2UOWfvnk1r3zOhfznD2/lXf+UhdKODFRZu26Qqdk68604WzjCQGIc9TRCw84Yuy5qo3dWekl9h/MUQu220b0wphQm9JVa1IKIobDBWDjPmnCG1d4Ma/1p1nvznOQpVfEIxGIIu667k4C09BJs35sJ7NLGvi83hehXMt45qFTxJCUUCCTBlxRfUjyTte8PDdTpyN4gJM4hKqSpox0raeIQA8NDZbYBtXKIAm94wcV8+D9+xG8//0l8+vLr+PHtO/j1Fz2RvZOz7DgwzZ7xGWYaLVpGSQPBCYhHll22G0jTm6Ai65BLA9cNhZUgxQ8TSqWYShBnlrxUZzScY7U/x5pgio3eQTb6DcasoSweviyIPMGQ2pOxlVdiyy/Ft0dfzfaRTCH6FYyIgeDJeK3LCRFKkuCTCd+wMGafTcVbGJ83KuhC0tyuu+9UabRi+kohAH2lkNlGm19/9kVceft2Pvmda3n7r1zC+z5zBR/44n913xr4Bj/wMjHnHXRJlpT/PrHv3Sw0oUKYZBFyYUy1FDEQZnngR0rzrAlnWR8cZJ0/xXpvlnV5+7zTEedUic0ItvJr2OqvEprqw/vhLyOF6Fc4UnoxtL9FWSyhpASSZOvbiUPELW7Td/4TyWfOyX2EDxDmue2HKiX2HJzFGsOf/9rz+OX3XspnfnAj//C/foktO/dz9Z07ueqOHdTbMZFGiG9IdHFY7OJhNgelhXZ6GMb0ldoMlFoMlxqsCuZYG06xwZ9kgz/NBr+VT1ddaJ8ndgNe31uxpWfhycr8+a/Mv7qgi4QX4xACsZQkITRp3rZPsbIQlgt0Z7eoW8iaU/I8rBraeeANCn1h1qst1rB/ep67903wqFUjvPXll/D2T32TX/vQ50AgCC3OKkkps+5qXb4CTNYhl63ImrnvlBO8IKVUiqmW2oyUGqwqZ3Hu68KDbArHOc2fZbXX6YizWMmsd4pHWno5tu8thLbvYf6Ejz8K0a9wxFTBOwsvvoWyCKHE+BLjS5KN25vF8XcGSBTQfC6+Cn1BQCm1zCdZitznnf9orrprB9ds3UWtHPDLf/0ZUnXZmHs+yqUGWpKSWHBhZ3w9s+hp6Lo97yZMM4teaTFQajFSqrOmNMOmcJKTw3E2ejNs8JU+8Q9po1tS7zEEtf+FFz7xYZvB9kigEH0BUv4lJLmVihgqElGSzNobcd159pAF5ThdCMwRFVpxQp8fUgsD0iilHSes6q/xgVe/kFf/w+c4c+0qzlt/Ep5n2DExw4079jBeb4BHtkDEoSGxoYNSii0lhKWYWqnNSLnO2sosq4MZNoZTPCo4wBn+PKOeT5hHxakqsRnGVt+Arbx8RbXRf1YK0RcgpZ9H595NKB5ViQglJjBpHpa7eNgum3CTWXnnFKvCTL1FX18/faWQdiOhEvg8amyYt73o6bzr37+L71l+unMfzSQhKFlcwIIb32mvd0JiyymlckSt1Gao1GRteYYNlWk2hwfY5E9yut9gzAYEko33J1JGK7+Orf1PSubwy3AVLKYQfQFiV5Gadfi6k4ooZRMREmfDduIW58vr6bjrdOQlqSNNU6pBwAR1Sn4WwPKyJ5zLdVt3881b7iAMfZyBtnXE/iFiL6eYUkK5FFMrtxip1NlQmWJTaYrN4QFOCyZ5lO+o5WGwAIndiD/0MUL/FAp+NgrRFwBgyi+A+sdyFz8mMHHWmdedX5/TGb3Lvf6y5xG1U8aqVSbns7j59/zHFcw229w7fpDd07NgISYi8SENU1yYiz1wmHJMtRYxUG4wWmqytjzNoyt7OKu0m9P8JmOeR0m8LH+cKol9FP7QRwn9zcv0ST3yKURfAICUX47WP0bZ+FQlpiQJgST5rDvXM2yXTXmTvG1fsT7lkseTTt7Ix354DaO1CldsuYeTR4fZODrIVNxiNonQTiddKbPsEjiCcsRgtcHavjnWlqfZWJrkzNJuLgxnGLNBd0w9Vkta/g2C/jet2GG2paT4BAsAEG8TqQwRyCQ10yY0MZ4k2DyxBpCvVJUFtnR67qPE8cQN6zl/wxqcKn/xiudy4fq1fPgHV/LxH18LHmioJL5DSw4qCV4ppVxuM1abZ2N1ikdVxzklPMC5wQFOCQzlrgt/Cv7AXxOG5yzb53IiUoi+YIHSC7HNS6mKoSZtyiYTvRhdaNfnw3WdCLz5dsR5607ivHVrAPjs1Tfzvm/+gNsnJ8EH5zvSwKElRcoJfjmmv9pgXW2Ok2uTnFbax9mlPZwbthgwIVYMEX0EI/9OuESLOxQsphB9QRdTeRU0L6VqPKqmTShRd459B+cAFYx23Hz40Pd/zNXbd7F+uJ9v3X43xgd8SD2XufOVrKOuVI4Y65vntIFxTq0c4IxwDxeE06zxM1c+VSWt/SGl2m8t22ewEihEX9BFvJNJ8fElzYbuTNyddbcotEWztFmSW/yXnX8OV27byc7Z2Xx+u5DalLSUQi3Fr8SUKxGrq7OcO7iHC6vbOSvcz+mBoSIlACL/CQRDH8eY0rL87SuJQvQFXUQEvDPx4pvoMyllifFNurCKbe7hWwTNx+oBnnfm6bznBc/ix1t38Mff+g7b56dzwScE1Zj+SovVtRnOH9jFk/ru5rHBLKNetuRyTAl/+IuUgtOX409ekRSiL1iEKf8iJDdTE0vFRHh5ZB6SufjiDplso7B7ZpYb9uzlbZd/m92N2a7gS7U2A7Um66rTXDCwkydX7+bCUkS/KaNAUv41gv63FyGyDzOF6AsWIeXno3PvpmIsNdMm6KTQIp9gl1v53rRZ1+3ezTuv+C5eYEiCBQs/UG2xuW+Kiwa28tTqPZwbKhUTkhDgjX4Lz1u7XH/miqYQfcEixAyTYPHEUjVRFqRjFqLynFMOXdD2tolxSoHHNE2opPjlhL5Ki/V9Uzxl6E6eWtnKGYFHaHxiGcUfu6Jouy8jx0f2/YLjCpURLIaqJJQkxpJ2J910hus6lv6Jj9rAlvFx5rUN5RRbTqhUItbWZrh48G6eVd3KWaFPaDxi71yCVT8sBL/MHJPoReSvROR2EblZRL4sIoNLVK6C5cS/ACNCvzhCE+N3Vr7pmWHX4Y7JCZzvSMIUKaeUKm3W1qZ50vA9PKt2N6cGPh6GJHwR4eiXjptVXlYyx/oNfBs4R1UfA9wJvO3Yi1Sw3NjSswGoWUNJYjyTdrPolKyP9AzgTbTruDCLtCtVYk6qzfG44e08o3YHZwQenljS8isJhv56uf6cgkM4JtGr6rdUtbOywZXA+mMvUsFyI+GTAbJsOqaNb1K83L0PxDJSruCJyReYyDLb+KWEvnKTMwf387javZwdQmA8Yv9JBIPvWs4/p+AQltLXei3wzSW8XsEyIWYYVcVDqEqML2m3I2+u3eaFpz2av/z554DJ0lKL7yiFbR41MMn5tR1cGMxQFZ+YMsHwJ5f5ryk4lPvtvReR7wAnHeald6jqV/Nz3gEkwGeOcp3XAa8D2Lhx44MqbMHDQ7aGumDFUDFRd9gOsim1Lzr9DC5cs5adczP8zU3/RVCOWNs/y7l9u7iotJNVXpYN1x/5StGGPw65X9Gr6rOO9rqIvAZ4IfBMVdUjnaeqHwM+BnDRRRcd8byC4wMnAVZbVKRNYOPu+vW+teyam+HTt9zE97bdi5QShvvmOWtgH4+tbOe0wOCJJSm/hsB/5KzvtpI4pnF6EXku8Fbg51S1sTRFKjgukBGM7qHPJlRMhDUOFYiTlN+//BsMlUoM95VpBvvZ1D/N2ZXdnBfMUZYyMQME/UWf7vHKsfpeHwb6gG+LyI0i8n+XoEwFxwHinYyI0CeOMM+Mm820Ed540RP41It/iXuaB+grtVlfmuaccA+jHbd+9KtFaO1xzDFZelU9dakKUnB8YYMLIf4xVYGKifDNwky70UqFV1/2BSRIGa7UOaOyizMDzdz68EUERXjtcU3Ry1JwWEzwFABKxlAyURagk/9a/vW265nWOYJyxObaJE8u76FmAhIV/MG/XMZSFzwQCtEXHBYJzsrWlxdLzbTwbZyta2fgntYEXphSKzV5fN9WTva9LHnmwEeK3vpHAMU3VHBYREo4BIvQJy1CyePvLYjn8P2Uk6pzXFDaTyCWlpTxK0cd6Ck4TihEX3BEnJSwYqjZCN8kWFEQh/FSyqU2m2sH2eA5RAS/+jvLXdyCB0gh+oIjomYdBqHPOEomxoiCVfwgYU1tllMrB6gZi1PFq/76che34AFSiL7giJjgQkSEflHKJkbEIX7KQLnFpsoU5wZ7CMQSIRjjL3dxCx4ghegLjogNfw6AihEqto014AUJo9V5Tq5McGapla0SGzxtmUta8LNQiL7giIh/AQB+HoNvTUIQpIwEdTb7Bxg2FlWlPPC+ZS5pwc9CIfqCIyJ2FFXFR6jZNp5VQj9mbXmaC0oHCcTSlkGMN7bcRS34GShy5BUckWy2HVgx9JkmvqQMlBIeXdrDOs8CEA5duryFLPiZKSx9wVFJ8TAIA6aJb1PWVGZ5YnkfoXi0KWPDM5a7iAU/I4XoC46KykAu+pjQxpxUmuEkTxARgsEPLnfxCh4EhegLjop4mxERBkxCYFLWB1OUJRubt6VLlrt4BQ+CQvQFR8XmPfg1CxUv5tRgP75YIqWIs3+EUnxrBUfF5kkySyJUbMSZpTpGhNSesswlK3iwFKIvOCriPwaAAKHqtRkxWaazUt9bl7NYBcdAIfqCo2Jsf5YZV4QB2yQ0BlXFlp663EUreJAUoi+4XxyKEcOQV8dDsv0i1v4RSyH6gvslJVuTftSbx4ohPXLS44JHAIXoC+6XFIsgrPVnMAgRhegfyRSiL7hfUqlhRFhr24gIkRbR249kCtEX3C9iNgAwmIXbk0plGUtTcKwUoi+4X7zgsQCUO8E45nCrnBU8UihEX3C/+OHTAQhMPrPOv3AZS1NwrBSiL7hfTHAeAF6+3EVYKjLlPJIpRF9wv3QCdEzu3gfBBctcooJjoRB9wQPC5cN0qorY0WUuTcGxUIi+4AGR9ozNm7xtX/DIpBB9wQMiyTWvRWDOI55C9AUPiKRIp3jCUIi+4AHhZCjfKtadf6RTiL7gAeH5ZwOF5E8ECtEXPCDC0s8DWVrsgkc2hegLHhB+6ZnLXYSCJaIQfcEDwnjF2PyJwpKIXkTeLCIqIsUv4wTGVV4L/X+x3MUoOEaOeRxGRDYAPw/sOPbiFBzPeP3/e7mLULAELIWl/yDwViiiNgoKHgkck+hF5MXAblW96QGc+zoRuVZErh0fHz+W2xYUFBwD9+vei8h3gMNlTXgH8HYy1/5+UdWPAR8DuOiiiwqvoKBgmbhf0avqsw53XETOBU4GbsrHbtcD14vI41V135KWsqCgYMl40B15qnoLsKqzLyLbgItUdWIJylVQUPAQUYzTFxSsMJZs6pSqbl6qaxUUFDx0FJa+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFUYi+oGCFIaoPf45KERkHtj8Elx4FHinpuh5JZYVHVnkfSWWFh6a8m1R17HAvLIvoHypE5FpVvWi5y/FAeCSVFR5Z5X0klRUe/vIW7n1BwQqjEH1BwQrjRBP9x5a7AD8Dj6SywiOrvI+kssLDXN4Tqk1fUFBw/5xolr6goOB+KERfULDCOCFFLyJvFhEVkdHlLsvREJG/EpHbReRmEfmyiAwud5kORUSeKyJ3iMjdInJcL1AvIhtE5HsicpuI3Coiv7/cZbo/RMSKyA0i8p8P1z1PONGLyAaylXR3LHdZHgDfBs5R1ccAdwJvW+byLEJELPAR4HnAWcD/JyJnLW+pjkoCvFlVzwKeCLzxOC8vwO8DWx7OG55wogc+CLwVOO57KFX1W6qa5LtXkq38ezzxeOBuVb1XVSPg34AXL3OZjoiq7lXV6/PtOTIxrVveUh0ZEVkPvAD4xMN53xNK9CLyYmC3qt603GV5ELwW+OZyF+IQ1gE7e/Z3cRyLqBcR2QxcAFy1zEU5Gh8iM1Du4bzpki1g+XAhIt8BTjrMS+8A3k7m2h83HK28qvrV/Jx3kLmmn3k4y3aiIiI14EvAm1R1drnLczhE5IXAAVW9TkSe/nDe+xEnelV91uGOi8i5wMnATSICmat8vYg8XlX3PYxFXMSRyttBRF4DvBB4ph5/QRO7gQ09++vzY8ctIuKTCf4zqvrvy12eo/Bk4EUi8nygBPSLyKdV9dUP9Y1P2OAcEdkGXKSqx+1sKxF5LvAB4OdUdXy5y3MoIuKRdTA+k0zs1wCvVNVbl7VgR0Cy2v5TwEFVfdMyF+cBk1v6t6jqCx+O+51QbfpHIB8G+oBvi8iNIvJ/l7tAveSdjL8DXE7WKfb541XwOU8G/gfwjPzzvDG3pAU9nLCWvqCg4PAUlr6gYIVRiL6gYIVRiL6gYIVRiL6gYIVRiL6gYIVRiL6gYIVRiL6gYIXx/wMN+LGxc7BrWwAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"##Q4\n",
|
|
"func_4 = lambda x: (1.25 - x[0] + x[0]*x[1])**2 + (2.5 - x[0] + x[0]*x[1]**2)**2 + (3 - x[0] + x[0]*x[1]**3)**2\n",
|
|
"\n",
|
|
"x0 = np.array([0,0])\n",
|
|
"xs = [x0]\n",
|
|
"\n",
|
|
"bnds = ((-5, None), (None, 5))\n",
|
|
"sol4 = minimize(func_4,x0,bounds=bnds)\n",
|
|
"\n",
|
|
"x = np.linspace(-5, 5, 50)\n",
|
|
"y = np.linspace(-5, 5, 50)\n",
|
|
"X,Y = np.meshgrid(x,y) # meshgrid\n",
|
|
"XY = np.vstack([X.ravel(), Y.ravel()]) # 2D to 1D vertically\n",
|
|
"Z = func_4(XY).reshape(50,50) \n",
|
|
"\n",
|
|
"xs = np.array(xs)\n",
|
|
"plt.figure()\n",
|
|
"plt.contour(X, Y, Z, np.linspace(0,25,50))\n",
|
|
"plt.plot(xs[:, 0], xs[:, 1], '-o')\n",
|
|
"plt.gca().set_aspect('equal', adjustable='box')\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" fun: 0.03940195167848258\n",
|
|
" hess_inv: <2x2 LbfgsInvHessProduct with dtype=float64>\n",
|
|
" jac: array([-3.46944697e-09, -1.94289028e-07])\n",
|
|
" message: b'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL'\n",
|
|
" nfev: 60\n",
|
|
" nit: 18\n",
|
|
" njev: 20\n",
|
|
" status: 0\n",
|
|
" success: True\n",
|
|
" x: array([4.87469383, 0.71930641])\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(sol4)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"We can see from our 2D result that we have a boxed constraint which is causing the effect of our objective function to look like a diamond since both the upper right and bottom left quadrant our bounded to the constraint. We will have multiple local minimums in this situation as well in both the upper left and bottom right quadrants.\n",
|
|
"\n",
|
|
"In our case we can see that based on the starting point, our equation is converging to the local optimum position in the bottom right quadrant at x: array([4.87469383, 0.71930641])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
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"text/plain": [
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"<Figure size 720x720 with 1 Axes>"
|
|
]
|
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},
|
|
"metadata": {
|
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"needs_background": "light"
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},
|
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"output_type": "display_data"
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}
|
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],
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"source": [
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"#surf = axes.plot_surface(x, y, z, cmap='coolwarm',linewidth=0, antialiased=True)\n",
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"fig = plt.figure(figsize=(10,10))\n",
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"axes = fig.gca(projection='3d')\n",
|
|
"\n",
|
|
"surf = axes.contour3D(X, Y, Z, 50, cmap='coolwarm')\n",
|
|
"\n",
|
|
"axes.set_xlabel('X Label')\n",
|
|
"axes.set_ylabel('Y Label')\n",
|
|
"axes.set_zlabel('Z Label')\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" fun: -681.8850016761318\n",
|
|
" hess_inv: <4x4 LbfgsInvHessProduct with dtype=float64>\n",
|
|
" jac: array([ 0.00000000e+00, 0.00000000e+00, -1.13686838e-05, -1.13686838e-05])\n",
|
|
" message: b'CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH'\n",
|
|
" nfev: 50\n",
|
|
" nit: 4\n",
|
|
" njev: 10\n",
|
|
" status: 0\n",
|
|
" success: True\n",
|
|
" x: array([-3.57487491, -3.57487491, -3.57487491, -3.57487491])\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"#Q5 \n",
|
|
"func_5 = lambda x: (x[0]**4-25*x[0]**2+4*x[0])+(x[1]**4-25*x[1]**2+4*x[1])+(x[2]**4-25*x[2]**2+4*x[2])+(x[3]**4-25*x[3]**2+4*x[3])\n",
|
|
"\n",
|
|
"b = (-4, 4)\n",
|
|
"bnds = (b,b,b,b)\n",
|
|
"sol5 = minimize(func_5, x0=[0,0,0,0],bounds=bnds)\n",
|
|
"print(sol5) \n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"You can see with our result that each variable is converging to the same respective point. Since nothing will be different with the objective function in our case, since we're only incrementing the variable name. Nothing changes to the overall result. Therefore, this solution converged at the point: x: array([-3.57487491, -3.57487491, -3.57487491, -3.57487491])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"##Q6 Attempt with starting point of [0,0]\n",
|
|
"func_6_1 = lambda x: (x[0]**2 + 2*x[1]-4)**2 + (x[0] + x[1]**2-8)**2\n",
|
|
"\n",
|
|
"x0 = np.array([0,0])\n",
|
|
"xs = [x0]\n",
|
|
"\n",
|
|
"bnds = ((-5, None), (None, 5))\n",
|
|
"sol_6_1 = minimize(func_6_1,x0,bounds=bnds)\n",
|
|
"\n",
|
|
"x = np.linspace(-5, 5, 50)\n",
|
|
"y = np.linspace(-5, 5, 50)\n",
|
|
"X,Y = np.meshgrid(x,y) # meshgrid\n",
|
|
"XY = np.vstack([X.ravel(), Y.ravel()]) # 2D to 1D vertically\n",
|
|
"Z = func_6_1(XY).reshape(50,50) \n",
|
|
"\n",
|
|
"xs = np.array(xs)\n",
|
|
"plt.figure()\n",
|
|
"plt.contour(X, Y, Z, np.linspace(0,25,50))\n",
|
|
"plt.plot(xs[:, 0], xs[:, 1], '-o')\n",
|
|
"plt.gca().set_aspect('equal', adjustable='box')\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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l8Pv9FXG7n5yxdgu5RkLIsizy+Xzla7YQksnzkqOEFD6SQ2cnb55mTQSFEMzOzrK+vs6lS5fwer0HPqZ2C5/q1tbly5e35UbtRf2qdalUIh6Ps7a2VtkwikQi9PX1EQgE5AWoCQ5zoFxRFPx+P36/n5MnT7acM9aITj8eKYQkxwUpfCSHym6xE80MGBcKBSYnJwkEAly5cqVtlY92Cp9CocD169crra12XAwcDgeDg4MMDg5W7iMWi7GwsEA6ncbtdleEkNfrlRegHqdRzlgqlSIej3Pr1i1KpRKhUKhSEWo089VtISeFkOSoIoWP5NCwqzw7xU7sJT42Nja4e/cu58+fr3ittIt2naCbbW0d9KLlcrk4ceIEJ06cqJknmZ2dJZPJ4Pf7a+ZJDsJxmfHpZVRVJRQKEQqFmJiYqJn5WlxcxDTNmngNh8Nx6JYIOwmhXC5XM0gthZDksJHCR9J1mo2d2KniY1kW09PTJJPJfbWNukF1a6s69b0bNJonqW+jVKeUt7IxdpwuVIctFFqh0cxXMpkkkUhUcsbs9qctLA4bWwjZ728phCS9wuG/OyRPFK148zQSPrlcjuvXrzMwMNC2tlG76URr6yDs1EaJxWKV6kGvbIxJmkPTNPr6+ujr6wPK1dNvfetbpFIplpaWUBSl8pyGQqGeidfYSwhVJ89LISTpFPIMJ+kK9bETzczi1Le6VlZWmJmZ4eLFi0QikY4d60FotrV1mFS3UaqrB7FYrLIx1msXzU5wlCo+e2GLhaeeegqHw1HJGdvc3OT+/fs9mzNWL4RM08QwjMr3WJaF2+3G5XLJ5HlJ25DCR9Jxqr15WnFgtis+pmly9+5dCoUCV69exeFwdPiIW+cwW1sHpb56YGdSbWxsMDMzU9kYi0Qicr6nh6kWco1yxuq3AMPhcGULsBeMCRvNCN27d4+hoSGCwSCKotRUhKQQkuwXKXwkHaXem6fV2IhcLse9e/cYHR3lmWee6ckTXa+1tg5KfSZVoVAgHo+ztLTExsYG8XicbDZLJBLpiANxNznKx17PbhWsRluAiUSC5eVl7t69W5Mz1it2CHbF12572bOB1WHFUghJ9oMUPpKO0OwA824/b88rXLp0iWAw2KEjPRhHobV1UFwuVyWKYWZmplLNqnYgtjPGDrox1k2OW/Wqldady+XaljNmu4RX2yGEw+Gu5IzthGVZNb5e9RUhKYQk+0EKH0nb2c2bpxkMw+DmzZvk83nOnDnTk6JHCMHMzAzxePzAra2jdHJWFAWXy0V/f/82B+L9Gu8dFk+y8KnH7XbX2CHYQqg+ZywSiXTVF6pa+NTTSAiVSqVtQqg6cPUovdcknUMKH0lbsQeY99PaAkgmk9y8eZOJiQmCwWBPzB7Uc9xaWweh3oG43njPMIxtfjO9xHF67tol5BRF2ZYzls1ma3yh2p0zthOtiDlFUWqGthsJIXt13s4ZO07Pv6R5pPCRtIV2tLbm5uZYWVnhxRdfxOfzMTc311RkRTexW1udME08DtQb79kbY3b1QAhRkzHWC9tFx4lOXMgVRcHn8+Hz+RgbG6up8k1PT5PP5ysGmeFwuK3tzt0qPs0cd70QKhaLlcBVO3nerghJIfTkIIWP5MC04s3TiGKxyI0bN/B4PFy9erVyomsmsqJbtLO1ddRppbLQyG8mHo9XNsY0TavJGOtmhe84rbND96pXncgZ24mDCJ9Gx20LIfs1bAsh+8NafWtMcjyRwkeyb+q9efYjemKxGLdv3+bcuXOVjRObZkNKO4n9KVG2tsoc9LHrul6zMVYsFonFYiwtLZFKpXC5XBUhdNQ3xp4Ums0ZsytCrTiF2x+mOnHMQEMhVCwWAaQQOsZI4SPZF/v15qn++ZmZGWKx2I4VFFVVK6LqMFAUhY2NDaampmRrq0M4nc7KxhhQyRibm5sjnU53dJbkuA039wq75YwtLCw0zBnbCSFEVwSHFEJPFlL4SFrmIN48UF6dnZycrFRQWs3q6gZCCAqFArOzs098a6ub1A/V1s+StHtjTFaUOs9OOWPVc1/2vzeKTDmM56iRELKrv9VCqDpnTAqho4MUPpKmqW5t7WeAGWBtbY179+415XuzVzp7p7C3tgAuXbrUc5tITwqNNsbS6TSxWKyyMRYMBunr6+vJjbFuc1QqWI3mvmwhVB+ZctitbptGq/P2h6P6YenqrTFJbyKFj6QpDurNY1kWU1NTZDIZrly50lSf/zAqPtVbW7Ozs12976PAYYlRKL8egsEgwWCwsjG2tbVFLBarqRzYLZS9NsaO23DzUUXXdaLRaOWDkB2Zsrm5SS6X45vf/GZNdlwvVFb2EkK247TdFpNCqLeQwkeyJwdtbWWzWa5fv87w8DDnz59vKaurWxfZRltbDx486JlPnJLt2BthdmCtHcwZi8W4f/9+zb/3qidUOzkuF9bqyJREIsFzzz1HIpGoyRmrjtfohee1kRCyLIt8Pl/5mqZpNa2x4/J8HUWk8JHsyEG9eQCWl5eZnZ3l2WefJRQKtfSz3drq2smQsFvVDXkCbA/1wZzFYpF4PM7KygpTU1OVjbFIJILf75cVnyOC0+ncljMWj8crOWMul6tSEeqlnLHdhND6+jr9/f14PB4phA4BKXwkDTFNk3Q6jdPp3HfsxJ07dzAMg6tXr24bWGyGblR8djMkPMy2juTgOJ3Omjwqe2PMjmEoFAosLi7S19fXUfdhyf5p9P6rzo6DnXPGeilEt/4curKyQjgcJpfL1QxSy4pQd5DCR1KDPcBcLBZ55513+I7v+I6W34CpVIrJyUnGx8cZHR3d9xu4kxWfZgwJpfBpzFH9ndRvjL355psIIZieniaXy1U2xvr6+no6Y0xSS33OWC6XI5FIVCwRDitnbDcsy6oMQcPjipAUQt1BCh9JherWlh3o18qbTQjB/Pw8i4uLvPDCC/j9/gMdT6eGm5vN2uoFA8Ve47icfG0X35MnT1bch3cy3YtEIj2/MXZUxehu7KcVqSgKXq8Xr9e7LWfs/v37ZLPZbfEah/GaNk2zZvjePtfa4wSNhFB18rwUQgdDCh8JcPDYiVKpxI0bN3A6nVy9erUtGUydEB6tZG11c7hacrgoilLZGDt16hSWZVVWrOfn52s2xkKh0L5at53kOM4rtSOuopWcsUgk0jW/rr2er0ZCqNpKBKhsjem6LpPnW6S33r2SrlMfO7GfE00ikeDmzZucOXOm0ndvB+0UHs04RdcjW11PLqqq7rgxNjs7WzHl65UVayl8mqNRzphd6bt7925bc8bayU5CyDCMirt1dWtMCqHdkcLnCaYdsROzs7Osr69z6dIlvF5vW4+vXa2u+tZWsyfTbgmftbU1Njc3K0Z8vZ5Y/iSKwUYbY/aK9b1793A6nTUr1t2+6BxH4dONx9So0lfd8rRNMveTM7bX/R705+u3xmwhZP97dWtMCqFapPB5QjmoN0+hUGBycpJAIMCVK1c68om3HRWfVlpb9XRa+FiWxb1790ilUgwPD1f8Z2yfkr6+PgJ+P8rWBvjDoLfnpHsQ5MmzTP2KdfVmUSqV6vpA7XEUPp2o+OxFo5wxu+XZas7YbrT7vNJICBmGURMgLYXQY6TwecJohzfPxsYGd+/e7Xhw50FmfPbT2mp0/50SPvl8nuvXr9Pf38+lS5colUqVi2glsXz+IU9PfQ3dKrF27j14zj4v1657lPrNokYDtX19fR2bI5HCpzPUtzx3yhnrtdmvRkKoVCptE0LVgavH7fWzG73xLEm6QquxE7bwsE8+lmUxPT1NMpnk8uXLHe9/77fVtd/WVrvufy/sKpSdV2Y/HzY1ieVKipzDQ0H3szQzQy6Xq7mI9soMguQxjQZq7YyxO3fuUCwWazLG2tE+kcKnO+yWMzY7O1uTMxYKhRq2revf793A3mK0aSSE6gNXj9vrqRopfJ4Q7CpPK60t+8Kvqiq5XK5SodhtBbyd7KficpDWVjvufzeEENy/f5/Nzc3mq1AX340TGHn0xx7GrA7qrM6n6sYnzidxxucgKIpCIBAgEAhU5ki2trZq2icHfQ6Po/A5Co9pp5yxjY0NZmZmKrEp4XC4MgRvWdahz/E1EkLFYnHXwNVefy5aQQqfY85BWlv2m3R1dZXp6WkuXrxYKfl2g1aERztaWwe5/70oFotMTk7i9/sPVIWqHsa0gzqTySSxWIwHDx7UlOY7kU91nE5+h4W9ERYOhzl9+jSmaZJIJGrSye3nsNmNsaMgElqlFys+e1GdMwa1Q/B2zlgwGMSyrJ56fLsJIVv0OByOSmvsqAshKXyOMQf15lEUhTt37mCaZtOJ6u2k2eNtV2ur0f23Q/jY6/7nzp2rzPG0RKmAElsCVUcMnKz5p/rSu32irc6nsttivWLfL6lF07RtVYN4PF7ZGHM4HI+H3XfYGJPCpzdplDO2urpKoVDgG9/4RiU/LhwO90zOGNQKIfscWCwWKRaLfO1rX+PBgwf8zM/8zGEe4oGQwucY0g5vnnQ6TTKZ5NSpU5w5c6Zn3pD1tLO1Vc9BhY8QgocPH7K8vNz6un92C3XuBurmImxtoABW/0nMOuFTT/2JNpfLVapBmUym40O2koPjcDi2XSxjsVhlY8zj8VSEkL0xJoXP0cDlchGNRkmlUjz77LOVeI1ezxkDKkJoY2OjJnX+KCKFzzGjHd48i4uLPHz4kFAoxPDwcE+8+erpRGurnoOs0xuGwY0bN3A4HFy5cqX1nr5RQp27gYgMIc5dQURHEKGhlo/D4/EwOjrK6OhowyFbe7YkEon0zEaKpBaXy7Uti6p+Y8zr9WKa5mEfals5jmIOagWdnR9X/9zaOWM+n6/yHu2VnLF0On3gOKLDRp7pjhEH9eYxDINbt26hKApXr17l9u3bPZlV1anWVj37Xae3Q1onJiYYGRlp6n62EejD+ODHQWvfW7R+yNY0Tba2tojFYszNzTU9WyKHmw+P6iyqajG7srJCKpXirbfeqhjuRSKRrren28lxrPjA9pwum0bPbbUtQi6Xw+fz1cRrHIYQymazjI6Odv1+24kUPseAdnjzJJNJbt68WXOx7tQ690HoZGurnv20uhYXF5mbmzt4SKuitFX0NMLeOLEH1u2NlGo3Yrst5vf7j/xA43HEFrN2qOW5c+cqG2OLi4tt2Rg7LI6r8Gn2ce1ki5BIJLh3796h5Yxls1l8Pl9X7qtTHJ13gaQhrXrzNPr5ubk5VlZWePHFF2te0L0kfLrR2qqnFeFjmiZ37tzBMAyuXr3a3guMEJCOoyZWULY2MC9+Z1kYtZn6jZR8Pk8sFuPhw4eVsruddSTpLez3f6ONseqtv2Z8ZnqFw/C76Qamae5L0FVXbOtzxqr9oWyR2ymPL9nqkhwq9gDzfltbxWKRGzdu4PF4uHr16rY3Y68In261tuppVvhks1muX7/OyMgIJ0+ePPjJWgjIJlFjyyjxZZTECkqp7K8hPAEo5sHlOdh9NIHb7WZkZISRkZFKqvXs7CwrKyusrq5WrPsjkci+rfsl7WGneZj6rb96nxk7HsXOGOulCosdvnncaJePz245Y0tLSzU5Y+18j9pzZUcZKXyOIO1obcViMW7fvr3rinUvCB/DMPjGN77RldZWPc08frst9NxzzxEKhfZ9X9UXLu3Wf0ZdmSl/3e1H9J/EjAwjwifAczgnHLvSE4lEiEajDA8PV+aD5ufnEULUzAf1ciXhONLsIHB9Va9QKFQulKlUqqe2iizLOlKtuWbZb8VnL+pzxuwZvnYaZQJkMhnZ6pJ0l4N687TSMjpM4WMfZ6FQ4L3vfS8eT+crHPXsNtxsB4ym0+m2eBxVP4/W0GlEaBArOgqewIFutxPYn8TtlgqUBWp9JcGeD+olf5Ljyn43oFwuVyUepXqryLY/8Pl8leex2+/B4zzj040PBvUzfNU5Y3Nzc/vOGctkMgQCvXdeagUpfI4I9d48+xE9+XyeycnJpltGmqYdyopsdWvL7/cf2mbKTq0uO2A0Go3y8ssvt/2iLvpP0qt7Uzs9Vl3X6e/vr1Tl7EqC7U/i8XhqLqBSCLWXdqx+N9oqymQyxGIxpqamKBQKBAKBysW00zlxx3XGp12VrNz9B+jhEI6+5tz0G+WMJRIJYrFY0zljQMUP7Cgjhc8R4KDePADr6+tMTU1VgjGb4TAqPvVbW/F4/NDWpxsJn/qA0a5hFFGSayiJNdTkKub4c4j+3c0MD5P6SoK9ljs9PU0+nycQCFSE0FFeue4VOuF5Y7c3/X4/4+PjNTMkdk6cPecVDofbPud1XGd8dlpnbwUhBI6BfvTA/gVI/YeVnXLG6uNv9qr4fPzjH+fLX/4yg4OD3Lhxo+bf/sk/+Sf87M/+LOvr6/T39yOE4G/9rb/FV77yFbxeL7/927/Nyy+/DICiKD8B/NKjH/2HQojP7/vB1j/2dt2QpDMc1JvHsiympqbIZDItt2RUVe1axWenFtx+vXTaQbXw2VfA6EGwTJTkenm4ObmGko6jIBCqhgj0g3p0Zmjq13LtC2gsFmNxcRHLsmpmD+R8UOt0w+yv0QyJ3Tp5+PBh2+e8jnOr66CPS1GUA4meRjTKGYvH46yurvI7v/M7/Nt/+295z3veg2mau4rcn/zJn+TTn/40H/vYx2q+Pj8/z1e/+lXGx8crX/vDP/xD7t27x71793jzzTf51Kc+xZtvvkksFgP4e8BlQADvKIryB0KIeDseqxQ+PUp1a2u/A8z2ttHQ0BDnz59v+cSoqmqltdZJdtvaOsw5I9u5uV0Bo3tiFFHWH6Lam1ymgVBURCCKNf4sIjSECEaPlOhpRPUFtDqk0y65q6paMx90HC9+7eYwXI732hizKwZ2xlirz+NxFT6dGm5uN06nk6Ghocr14/u///v56le/yh/8wR/w6quvMjo6yvvf/36++7u/mxdffLEidN/3vvfx4MGDbbf3Mz/zM/zqr/4qP/ADP1D52pe+9CU+9rGPoSgK73rXu0gkEiwvL/PGG28A/LEQIgagKMofA/8V8IV2PDYpfHqQg3rzACwvLzM7O8uzzz67722jboiOvQwJD1P4KIpCNpvl7bff3n/AaCuYBvr02wiXF2twAhEZQYSHOm5k2Crtbj3Wh3TanzSrN41sIdQrtv29Ri/EOzSqGMRiscrzaAdy9vX1NbUx1guPqRO0Y7i5uLyM88SJNh1Rc0xMTPDJT36Sf/kv/yXf+ta3mJub42tf+xr/8//8P3Pr1i3+4i/+YseOwpe+9CVGR0d58cUXa76+uLjIyZOPW/ZjY2MsLi6yuLgIMF/1rQtA2+yie+uMKsGyLFZXV0kkEpw+fbrlN75pmty+fbstRnqdFB3Nto7alZDeKkII1tfX2dzc5NVXX20tYHS/uLyULv/X4PbvbVAoBBhFcHR2wLSebjwf1Z80G2VTVc8HdXrA9qjQiyLB6XRW5ryAhjlUdmus0cC7rPg0ZuvrbzL7//4FzvzT/wX/iy+08ciaw/4wPjExwU/91E/xUz/1U7t+fzab5R//43/MV7/61S4d4d5I4dMjVHvzCCEoFAotn8jsjKjx8XFGR0cPfCLslPCxW1uhUGjP1tFhVHzsgFHTNBkaGuqO6LHZaX1dCMhtoW6to6Q2UdIxQGC89L0dcXHuFRptGtnzQdUDtn19fUcukqGd9KLwqccO5Kw2xKwfeK/eGDuuwuegFR//pZcY/8W/g+/Zi208qubYz4eemZkZZmdnK9WehYUFXn75Zd566y1GR0eZn39c2FlYWKiEKgPV2xtjwBsHOfZqnsyzRI9R39rSNK2li70Qgvn5eRYXFw+eEVVFJ0RHq1lbB0lI3w/VAaNut5vV1dWu3fc2inmU5CpqchVlax3FKAIgnF5EcADh76M899fbF7x2Uu1WWz1gWx3JYLdTqjdRjjtHQfhUU70xdvLkyYYbY6VSiXg8jtPpPFbO4AcVdKrLReTDH2rjETVPLpdr2c/p+eefZ21trfL/ExMTfOMb36C/v5+PfvSj/MZv/AavvfYab775JqFQiBMnTvDhD38Y4EOKoti7+h8C/k67HocUPofITt48rfjnlEolbt68icPh4OrVq23diGmn8NnvVlQ3t7qWlpZ48OABzz//PIFAoPur9EKgZOIoiVWU5ApqJlH+ssONCA9jBvoRwQFwdbEC1fAwe8dlqNGAbTweZ2VlhampKVwuV6UtdthOxJ3kqK9+N9oY+9a3vlVZ0Kg22zvqm3/tWGc/LJpxbf7xH/9x3njjDTY2NhgbG+P111/nE5/4RMPv/chHPsJXvvIVzp49i9fr5XOf+xyA/X7+H4C3H33rP7AHnduBFD6HRH3sRPUJuVnBkUgkuHnzJmfOnKn00dtJu4RPoVBgcnKSYDDY8lZUN1pddsBoqVSqmYvqZptNm7+JuvkQpVRAAMLfhzl2ESs0BN5Qz7Szel04OBwOBgcHK4Po9U7Efr+/IoSOE91yA+4Wmqah6zoTExM4nc4as7379+/v6DFzFDhIxWfts/8bolRi6K//P9t8VM1hz2btxhe+sPviVfXGl6Io/OZv/mbD7xNC/BbwW60eYzNI4XMI7BU7sVfFRwjB7Ows6+vrXLp0qWMzKO248Nutraeffrqy7dEKnR6mtT9RnjhxgvHx8ZrnoquD1UYR4Y9iRkYQocHmhpaFBbkU6E5wdj/S4yhQP1eSTqcradaZTIa7d+9W5oOOcjvlqLW6mqFaINSb7dmbf9WVPVsI+f3+nv5dHMSR2srnSPzhV4h89L/BOTLS5iPbm+OQ0wVS+HSV+tbWTqp/N8FhV08CgQBXrlzp6Cedgwifdhn+dbLqYgeMPvvss5XMqWq6KXzM05f2PhkaJcgmyu2wTAKySRTLxDpxDjF0pivHeZRRFIVAIEAgEGB8fJy33nqLwcHBigEfQDgcpq+vj1AodKSqCEe91dWI3Soj1Zt/8Liy9/DhQ9LpNF6vtzLr1WsRKfu1KAHo//G/Qml5GVEqtvmomuM4xFWAFD5do5XYiZ0qPgetnrTKfkXHQVpbjY6h3eKj2YDRw1qlr/Bok0vZWkfZWi8LHUCggCeA6BtD+MII//Fq23QLexDabnvZBnzr6+tMT0/jcDgqbbFeryIcx4pPK4+pvrJXHZGSy+UqG2N9fX1H2gJB74ty8h9+5tDuXwofSdO0GjtRLzgsy2J6eppkMtmduIQdjqMZ2i3O2j3c3ErA6KEIH9OA1MYjsbOBYpRnfvCGEMNnsXyR8szPIZoa9tJw835p9BjqDfjy+XxNFeEwk8r34jgKH9jfTFl9RIptgWBvjJVKpUrGWCQSORItTiubZes/fJngRz6K6urO+b8RstUl2ZP6AeZmKx/Vb/ZcLsf169fp7+/n8uXLXT25tbJd1qksq3a2uloNGO2W8Cnlc2zev01YZHHmkijCQqg6Ilje4hLBgfIcTw9wHC+uO+F2uzlx4gQnTpyo8Z2xk8qDwWBFCB32xfO4Cp92UG2BcOrUKSzLqmSMzc/P12yMhUKhjntB7eecUpybJfavPg+qSvgHfrgDR9Uc6XRaVnwkO9OO2InV1VWmp6e5ePHioWyhNCs62tnaqqcd4mO/oqwbW13Z2Rvoa/cZUsBAY9V0sKX5cIaHiTRj7W8akNuCYhb6xjp6rMeJVoVCI9+Zra0t4vE4CwsLlaBVez6o2xtWUvg0j6qqNS3ORhtj1UKoneez/T5P7meexfPSKyT+r98n+D3fi3pIVZdsNiuFj6Qx1Q7M+xE9pmmSy+VYWlpqOVG9nTRz3J2eOzqo+DhIwGinKz6Li4tsrWzwVP8YZnQExRdhQFHw53IVQ75MJlOJaOiLRHAqFmSTZbGTTUIh83juJzwMqnxLdwNVVQmHw4TDYU6fPl25eG5ubjIzM4Ou6zUBnZ0WJVL47J9GG2OJRKKy/OB0OitC6aDP5UFW2fte+6ss/uLPkrs1ie/Ku/Z9DAchk8lUPLOOMvIs2Ub229qqJp1OMzk5iaZpvPTSSz17MutUa6seVVWbbrfVk0wmuXHjBmfPnq1sf7RCp4SPZVmVPLVnr7wXTdMqm35QHtS0bduFUSK3uYSVWICNuyhq+XgsRQVPEGVgAuEJgicoRc8hUn/xLBQKlWpQOp3G4/HUzAe1+30thU/7cDqdNV5Q9qzXwsICqVSqsjG2n9Dc/QgfUSpixmO4zpxj/J/9Nnr48JYZ5IyPpIa9vHmaYXFxkbm5OZ577jlu3LjRsyeyTra26tmP+KiO8DiIz1EnhI89szU0NMSpU6ca30epAKl1SG2iZBL4EAhVg1AU0x0kaapsbGVJrCfR43H6+hT6+hxd2zw6LsPNnfxduVyuSkBn/ZaRnUtlC6F2VHSPo/DplddZ/ayX/VzaobnVpph7fQDcj2vzxv/0DxG5LAP/n189VNED5Q/mgcAOeYJHCCl8Dkiz3jy7YRgGt27dQlGUinOwvc3Ua94csViM27dv9+xKvWEY3Lx5E03TDhzh0e5V+o2NDe7evdtwZksU8yipDdhaR8kly19zeiE6hvBHwRsERUUFIkDkkVF3oVAgFotVNo/8fn+lxdKJKtxxu7h2g/oto+pcqsXFRSzLqgla3c9r9jgKn16k0cZYOp0mFotx584disViZeg9HA5vE7X7Oaf73vcB4v/br5P/5pt4Lr+7nQ+nZeSMj6Qlb56d2Nra4saNG0xMTDBS5cRpX/B7Rfh0q7VVTyviI51Oc/36dU6dOmWn+x6Idq3SV//uLl++XPEREUYJK7GCFV9+nMvl8iEGJiA4AK69S8pOp5Ph/gjDPgfkfeSFynrBqERwyOTyxhymUGiUS5VIJIjH48zOzlaGb+35oGbOAcdN+ByVx1NtimlvjG1tbRGLxVhYWMA0zZqMsf1UfDyvvpfUl/8tW//nF3G/fBVFPbxoEtnqesJp1ZunHiEEc3NzLC8v8+KLL257Mdmr5L1wsepma6ueZsVHfcBou+77oBWfUqnE5OQkXq+35ndnrtzHWr1fjp1w+bD6J1BCe4sdIQQUsuXh5nyqHFlhPpoPUlTcoSHGx08xPj6+Lbm8+oIaDAb3fWHplRbEcUHTNKLRaMViwY5jWFpaIpVK4Xa7K8/bTjMlR0UoNEsvfehrheqhdyhXoO3V+QcPHlRGIeLxeFMbY6JUQnE4CP43P0bsf/0n5N7+L3hffW8XHklj7GWLo87hX1WPGO0YYC4Wi9y4cQOPx8Orr77a8DZa8dDpJIZh8I1vfKNrra169mp12YPC9QGj7eCgF5JUKsXk5CRPPfXUthBZxeVFjY6i9I2AO4BVKiGARvcoSoXyBlc2CblkeYUdyt4+niB4AuU/ztqLYn1yebFYJBaLsbS0xN27dysDt7atfzMcp4trr1IdxyCEqMQx2DMljVyID5L/1IscVeFTj67rNaJ2bW2N5eXlysaYw+HYcfuvOHWT1Od/g9D/65dwv/IuQn/lE7ieef6wHgognZufSNrhzWPPyJw7d66yNdCIbiaDN8JuzxQKBd7znvd0LAh1L3aruuwWMHrY2BWoF154oeGJQo0MPx7UofZxlqs6GUjHyn9K+fI3aQ7whsvOzZ4gSjNBplU4nc5tA7exWKxiyHfU3GwPwlGpkCiKgtfrxev1lrf8qmZKbt26hWEYhEIh8vl8T3xQahdH5flpFVVVCQQCPPXUU8D2jTGPx/N4Rm94FFEskPn3v0foEz+D/wMfOeSjlxWfJw57gPkgra2ZmRlisRgvv/zynp+wD7PiU93aCgQCh+YjBDsLwL0CRg8Ly7IqQ46tVKBssSPSMUhvlje7UMpDzaGhsthxtm8NunpI0zbkq3azBWraYsfh0/dxoH6mxG5n2n5amqYdi+ftuFR86ql/XPUbY/XVvaFnL+N75z+TnrmL/8z5QzzyMvl8/khnndlI4bMH7Wht5fN5JicnCYfDTc/IHFbFp35r6+233z7UylOj3LJmAkYPg3w+z7Vr1xgcHOSZZ55pSqSIUh4zsQbxlceVHW8IIqPgj6Boe1dehBBQyiMKWUQxhyhkUftGUN3Nl6Tr3WxLpRLxeJyVlRWmpqYqcyaV+zviHJeKgt3O9Hq9XLhwAVVVicfjrK6uMjU1hcvlqgihPV3Ae4jjKnx2G25uVN1LnZ4gf+MbxP7t/86tv/T9BIPByvv0sM59x+F5kcJnF9rhzbO+vs7U1FTT+VA23a747LS1ddgtt+oWUKFQ4Nq1a00FjHYb+xP3M888s6ezqbBMrNQmZnwF8WibC08Awicg0Len2BHCQuSziHwKkc8gCtnykDSAoqI4PeVk9wPgcDhqTNxs75Ll5WXy+Tz5fL6tPjSSg2ELufrnza4gzM3NdcXuoF0cV+HTzOMShkH+T/4vtKFRgpfejfb+j6D84b/h0qkxMi5vxQahfmOsGxljvXTOPQhS+DSg3ptnP6LHsiympqbIZDL7qkx0U3DstrWlaVpPVHzsSlSrArLTCCF48OABa2tre675CyEwV+9jxlfBMsDhQhsYRwsPUULb8cRiV3SsXAqRK4sdW+goTg9qoA/F6UVxecHh6sjJyf4k6nQ6SaVSRKNRYrFYxYfmMHOq9sNxOonDzo/H4/Hg8XgYGRmpBK3GYjHu3r1bmeuy7Q56aa7ruD0/NqZp7v17VlWM6VsU3/5P6BdewP2eD1D45n9BbCUInxupxKRU2yA8ePAARVFqMsY68T48Ls+LFD51tMObxx66HRoa4vz58/u6jW5VfPYyJDxIZEQ7UBSFVCrF9PR0V/2DmsEwDCYnJ3G73Vy5cmXPT3KKoiCKOVR/BK3vBIo39Pi1USzWfK8QFiKXRmSTWNmtxyvrDheqvw/FE0Dx+A/F00NRlIoPTXVO1cbGBjMzMzgcjsq22FFqrxxlmrkgVQetjo+P18x1PXz4EKAiYIPB4KEK2ONc8dnr96qoKp7/9mOk/+nrFL727/F85EeJ/OL/uO35rbdBKJVKNe9DOy/Ozhg76O/zOG0OSuFTxUG9eQCWl5eZnZ3l2WefJRQK7ftYOl3xadaQ8DBbXaVSiVu3bmFZVtf9g/bCXlU/ffo0J06caPrn9JPP7vi6EkIgcimsTByRTYJllVtXngCqN1gWO3rzlcNufTqrz6nK5/M1Iau2pX/1+nUvcFxO4rC/57pRSnk8Hmd9fZ3p6emaVetuxaHYHFfhY5pmU49LH53A8dK7KPzFn+D6zg+jBva+ljgcDgYGBiofYO28uKWlJba2tiobY5FIZF8fSLLZ7LEwLwQpfIDHra27d+8yPDy8L58C0zQrwZNXrlw5cNm4kxWfVgwJD0v42AGjp06dYmVlpadOgra43Y9ZYqOTjVXIYsZWsdLxcgtMVVG8YVRfCMUdQGnSuVeUCljFHKKYxyrmEUYR1+jTXb/Au91uRkZGKu2V+vVru6qw33iGdnAcBrSraYfI1XV924UzFosxPz9PKpXC5/NVhFCzvk/75bgKn70qPtZWHPPeTRyvvBf3B36A0re/TuG//CmeD/1gy/dVnxdnz3vZH0h8Pl9NcO5eHBfXZpDCp8abp1AoYBhGy7dhf/o/efIkY2NjbbnQqKpak9jdLlrN2uq28KkPGNV1neXl5a7d/25YlsXdu3fJ5/MHNksUpoGxtYmRXMcqZAEFxRssz+t4AijKHgOQlolVyGLlM4/ETgF4dDFXVFSnG9UfLs8CKe0VF62Ihkbr1/Zcwv3792tMFusN3CTN04nqnsvl2hbOGYvFuHfvHvl8ftdMqoNyXGZJ6tlL0JXe/BqlP/8PqEOjaGOn0c+/QPHNN3C//6MoBzjfNNoYs+e9bB8v2xgzEok0rMxK4XNMqG9ttVplEUKwsLDAwsJCW6MSoFzxyefzbbu9/WZtdVP4NAoYNQzjUIerbapX1S9cuLDvk7KZz2Ak1jC2NkFYqC4vzsFxLHcQVG33Nlgxh5XPYOYziGKu/A+KguL0oAUiqE43isODojs6dtE46O02imewc43sqkIrn0L3y3G8sHby8TTyfUqlUpXnzh5wtzeMDlrJO64Vn72yupzv+wjG9Tcp/Pt/heeTfwfXu99P5nO/RunuNZzPvtK242g072U/n0tLS5imWTE09fv9eDwe0un0nsLn4x//OF/+8pcZHBzkxo0bAPzcz/0c/+7f/TucTidnzpzhc5/7XMV77TOf+Qyf/exn0TSNX//1X+fDH/4wAH/0R3/E937v994FNOBfCCF+uW0PnidU+OzkzdOK8CmVSty8eRNd1w+cAt6IdgqOg2RtdUv47BQwetjr9MCBN8qEsDBTMUrxNax8GhQVPRhFDw+iucsnEluA1/ycZZWFTi5V/jmr/NpUHG60QBTV7UN1efasDvUy9W7SmUyGeDxe4yZtC6FeyK2TlKkOWq0ecI/FYty/f78yWLvfSt5xFT57PS7F5cb5oR+i8G8+i/GtP0e/9B58f+3n0Z+60NHjqn8+bWPMeDzO3/ybf5PZ2VkuXrxIqVQil8vt+KHkJ3/yJ/n0pz/Nxz72scrXPvjBD/KZz3wGXdf5+Z//eT7zmc/wK7/yK9y6dYsvfvGL3Lx5k6WlJb7ne76HqakpAP7G3/gbAN8LLABvK4ryB0KIW+16vE/cmWS32IlmhU8ikeDmzZucOXNmWwZTu2jXjE+rra16uiE8dgsYbUdQ6H4RQlAoFLh3796BNspKm0uUNpdQHC6cA+PooX4UrfatZz9OYZlloZNNYRUyZT8eRUX1+NE8AVSXd9vP7vUYhGWitvAzh0X1p9BqN+lYLMbc3ByKohCJRIhGowfeUjmOFZ/DpH7A3R6sXVxc3BbF4PHs7UB+XIXPbhUfa20RJTqE/twVSm9+jeJ/+kP0S+/BceaZLh9lbc7fF77wBTY2Nvjn//yf89WvfpXv/M7vJBgM8v73v58PfOADXLlypfKh5H3vex8PHjyoua0PfehDlf9+17vexe///u8D8KUvfYnXXnsNl8vF6dOnOXv2LG+99RYAZ8+eZWZm5j6AoihfBH4AkMKnVZrx5tlLbFR7tly6dKmj+VUHFRz7bW21+zh2o5l4h8O6OBmGwY0bNxBC8Morrxyo2qCHBlHdfjRfqOHjEUKUW2DpOFYuVRY7mo7mC6PaYqcZF2ghsEpFzFIB89HfllFC1XT8g2P7Pv5G99MNdnKTXl5e5u7du7jd7pqQ1SdZyPTasHajwdpYLMbMzAy5XK4maLXRfNBxFaY7CTprfZnS5/9HtL/0/ehX34/zOz5I/vf+f5j3JtHPv3gIR1pLf38/Fy9exOl08vrrr7O6usrXvvY1fuu3fou/+Iu/4G//7b/d1O381m/9Fj/2Yz8GwOLiIu9617sq/zY2Nsbi4iIAJ0+erP6xBeDVNj0U4AkRPvWtrZ3eULsJH7tdFAgEmvJsOSgHqfgUi0WuX7++r9ZWPZ0SPtUBo83GO3QLu+02MTFBoVA48O2pDieqY/vJ3TJKlLY2KabiCKMIiormDaH5wihO956/E2GZGMUCZjGPUcxjlR57ASmKiup04nR50Brc9345zOep2pW4+mI6PT1NPp8nEAhUhFAvmfE96VQP1o6NjZWjGB7Nk9y8ebOy6VftQGxZ1rFsbe60zq4OnEA9cxHzL/4D2sVX0M6/iBIIU3r7P/aE8IHaZPahoSFee+01XnvttaZ//h/9o3+Eruv8lb/yVzp1iE1z/F5ZdbQSO6FpGsU6Izl4HEew33bRftivceBBW1vtOo7d6NWAUYCVlRXu379fabstLCy09dO0Xd0pbm1ipBMAaB4/amgAxe1D3cWQUAhRFjmFHEYhh2U83vrTnC6cviCaw4XmcKJoek+JyXZTfzGtH7YVQlQqCqFQaNvF5rhWFI4CiqIQDAYJBoNMTExU5kls7ydVVSsuxMet5SWE2PHx6N/931L83C9jvPEHOP7rv4rjlfdSfOPfY8XWUfu6c93ZjWrh0yq//du/zZe//GX+9E//tPK+Gx0drQQiAywsLFTmO6u/DowBi/s87IYcW+FT39pq5s1TX2WxLIvp6WmSyWTXXYNbjYpoV2urnnau1du/z62trZ4LGLUjRrLZbI0PU7tmjISwKKXiFJMbWMU8qBrO0ADOUBTV4aqI820/Z1kYhRylfBajkK1kcGlONy6/D83lLgudIzzg3A4aDdvG4/GKyK4P6zxuHGURVz1PAuWK9dTUFIlEgvX19UpArh3GepQfayPBLYwSmAZKpB/t6vsx/8tXsS69F/3l92JtrpX/vQfIZDKVDLhW+KM/+iN+9Vd/lf/4H/9jzXjIRz/6Uf7yX/7L/Hf/3X/H0tIS9+7d4+rVqwghuHfvHoqinKYseF4D/nLbHgjHVPjsN3aiWvjkcjmuX79Of38/ly9f7vqbrZVWVztbW/W0q9VVKBS4fv06fX19vPLKKz118qo+tkuXLtUc20GFjzBNilsbFJMbCNNAdbpxD4zh8Ed2NCYUlkUpn6GUz2IWymvriqricPvQ3V50l7sloSOEwLJMhCXQn5AWUL0ZX715m9vtxjAMCoVCT7lJS8qbfl6vl2AwSH9/f6WlOTs7SzabrQlaPWrP3TbRY5mYv///LYueD/8VtFe/B/Pbf4759tdw/Dcfx/1DnzikI91OMz4+P/7jP84bb7zBxsYGY2NjvP7663zmM5+hUCjwwQ9+ECgPOP+zf/bPePbZZ/nRH/1RLl68iK7r/OZv/mZl8Ps3fuM3+L7v+77/QHmd/beEEDfb+ViOnfA5SOyELTZWV1eZnp7m4sWLlcHKbtOs4Gh3a2u/x7Eb9jGeP3++svXRK8TjcW7durXjse1X+FhGiWJineIjvx7N48cVHkTzNLb+F0KUqzr5DEY+W75vTcfpC6K7vWhNho8KITBKJQyjhGmUMA0D0zAQQqDpOuHowV8jvTZI2wz1YZ2rq6s8fPiwp9ykJY+pbnF5PB5GR0crxnu2E/jt27cplUoVv5mjYHlQ/95RVA31zHNYb34V68IrqKcuoD3/KubbbyDSSRT//mOP2k0mk9nTq+4LX/jCtq994hM7i7df/MVf5Bd/8Re3ff0jH/kIQoinWz/K5ujtV0kL7OTN0wqKohCLxSgUCofeimlmw6wTra1Wj2M3hBDMzs6yvr7ecwGjQggePnzI8vIyL7/88o6+FPsVfvn1BYzsFro/jCs8gOZqvAFolorkUgkK6S2EsFBUFac3gMPjR3U4m1r7NUpFSsUiRqmIUdWWVBQFTXfgcnvQdB1NP3i1p5cqdfulem3+4sWLFTfpag8au/XS7YwqSZmdZnsaOYFvbW0Ri8UqQau2CGo029WLKC//Jbj7Taz/9O9Q/vJZtBfejfnWn2Fe/zr6d3z4sA+vwkFmfHqNYyF8dvPmaZZ0Os2NGzdQVXVbu+Mw2O3+7dZWIBDoeHjnfi/8pVKJyclJvF5vV7bgWsF2iLbNJ3c1FNtnxccVPYG7fwTVsb0UX67uZMhtJSg9qu443D50jw/dtftathCCUrFAqVCgVCpiVkWs6A4Hbq8Ph8OJ5nBUhkQl26metah3k7Yzqh4+fFhxq7WFUC+J92qOYhVuN5odPtc0bZvlQSKR2HG26zDfDw3neywTRdNRv/OjWP/utxDX/m/Ul78L5dTTmDfeRHv3h3rmPSwjK3oIu8pzkET1xcVF5ubmOH/+PA8ePOiZF1ojOt3aqmc/wscOGD179ixDQ0NtOY52beFkMhmuX79eyVXbi/0KH825/QIpLIt8ZovcVvyRv46GNxRF9/iYujeNoiSIRqOEQqGadotlWRQLeYqFPKWq9Xrd6cTj8+NwOtGbqA5JmqM+o8rONLpz506ltWK3xXq9tXJU2e82V31CeT6frxhgptPpmvmgbovY+nOY+PZ/gsVpxPf+JOqp84hTF7DeeQPluXejXXgZ4z98ERFbQ4m25xx6UJppdR0Vjuy7th2tLcMwuHWrbAZ59epVgI4loh+UbrW26mlF+NQHjLbL4NEWHwe9sK+urjIzM8Nzzz1HMBhs6b4PgmWa5FMJcqkEwjLRnW58/VGc3gDZbJZ3vvktRkZGcDgcbGxsMDMzg9PpZCDah9vlQjyKqlBVFbfHi8PlxuFsXehYlkXJMFEAp/PJGHLeiWZfT/WZRo1Wr6ujGQ6jsnkcV/PbtcbudrsZGRmpzHbZIvbu3buVSBS7YtRp76dtrs3+MKzMwY2/gBfei3r1g5j/+p8ibnwd9blXcZ6+gBIId/SYWsEeLD8OHEnh04o3z05sbW1x48aNmmwoewW+1+hma6ueZoWPLSJVVW17dpl9DPt93JZlce/ePdLpdM2qejMcRPhYpkE2GSefToAQODw+vMFIpZ21vr7O1NQUzz33HD6fD8MwCPj9FPM5ioVyQG2pWGQrXc73CoaC+D3ePY9fCEHJMDEM89GHAxPDNLGs8uNwOHSiBxA+x62t0gqNVq/j8ThLS0uVaAY7W6yTzu7VSOHTHI2COe35oPn5+Yr3kz0f1O4h922P6czzMHcb3vkzxKlnUIbG4MQE1s030S59J0qDqvFhImd8Don9ePM0uo2HDx+ytLTEiy++WNOz7MWTR7dbW/U0I3zS6TSTk5OMj4/XBIx28xh2wl5Vj0QivPzyyy0/x6qqtnyht0yD3FacXCoBQuDyBfAE+9Cd5XkfIQQzMzPEYjGuXLmCokA6mSCfy5YvYo8qO06PB113MAiVE/Ti4iSWZVUyq8qVK4VSqUSxZFAsGpSq5n4AdF3D5XSg6xq6pqPr+z+h9+J7ZL+047E4nU6GhoYYGhpCCEE2m61xkw4GgxUh1KmKwnEUPt14TKqqEg6HKyaqdtCqXXVt95B7fcVHURTEuz8CizPw9T+ED/8/UJ97F9YffxGxOIsyduZA99dujpP1w5ERPvv15qmmWCxy48YNPB4Pr776ak8N3NbTroDMg7KX6FheXmZ2drZhwGg7j2E/VQY7TPYgolFRlKZFl2Wa5LZiNYLHG4rWREYYhlEZ+n72mWfYiscoFctzO06XG5fH27CNVW3OV86sSpDYSpNMZXE6H6+6O3Qdn9eNQy8LHE2TA86N6ETVSlEUfD4fPp+vErJaXVGAzmwcHUfhcxiOzY2CVu3nLp1O4/V6a4JWW6XymDaX4Np/gu/8b1G8AcRL74O3/xixMofy1LOgOxAzk9BjwgeOzwefIyF8DuLNY2NXTto5cNsp7NYWwKVLlw51rX4n4dNMwGi7aEV8wONZo6WlpQPPGjXb6sptxckmNxGWhcsbwBOOotdlZNmVsYnxk6gKJOObaLpOIBTG6XIj2PnEYpoWhWKRQrFEsWgg0HC7vTgcOgqCXDbDZmyTfC5XGb6NRCLH5kTVCbpdUWi0cWRXFA7iSCyFT2eoH3K3q3n37t2ryYaLRCJNnaMrj8k0Yfk+fPPP4NXvhYtXYfIv4Fv/EeV7P4Yy/jTi/k3E+z7aM47sx+011tPCpx0DzNVDwbv5tfQK1a2tBw8eHPbhNBQ+uVyOa9euMTw83JWA0VYqPqZpcvPmTVRV5cqVKwfu0zcrfEyjhO7y4Av3V1pa1aysrBDbWGfi5ChYJrrLhS/Sh8tdnvepfp3bWJZFvlAkny9SLJXbV6qq4nY5cbkcOB0OVPXR90dCjI6OYFlWZfh2bm6uMnwbjUYJBAIIwDAsDNNCCPB5nswh58OYU6rfOLIdie/fv082myUYDO6aWL4Tx+2iBL0hfKppVM2zs+EWFxexLKsmaLXReafS6ho8Cc+8inL7TcTJ8ygjTyFeeA+89VXE2jzKM5ch2AeGAW0MGD4ox+l11rPCpx3ePPl8nsnJScLhcEtDwYfxprMF2sbGRqW19fDhw0Mftq4XPvZAbjcDRput+GSzWa5du8bY2BgnT55s2303c5H0RQYavkYNw2Dx4Ry6rhEJBXG53fgDIZw79MqFEBSKJXL5AoVCeZZN01T8Pg8ulwNd03Z9L9hCJxwOY1qCbK5AKp1lI5ljc6uIpj9uo6mK0rLwaVd2mWS7I3EqlWJzc5MbN25ULqR2yOpuAv44XZBsev0xNcqGsz9w3L9/vzIEH4lEKtt+NdeVF/8SYnEavv5l+P6fhguX4dv/CW69hfpdPwSnLx7uA6xjp1T5o0pPCh97gPkgrS37An3hwoWKMVkz2OGg3XySq7e2qs3+Wg0q7QT27/4wA0abGW622wfPPfccoVD7bN6brTbVv0Yt02QrmSCTTuHQNTw+P4FgaMesLMMwSWdy5PNFLCFQFQWvx4XH7ULXdxc7AJYlKJZMCiWTYsmkWLKw7ONWnHg8bhy6grBMctk0yUScQj5HNhl8IqMaeu3CWp1Ybl9IqwdtHQ5H5UJaP2jba9WRdtFLz89e6LpeY4JZv+3ndrtxqTCydhdxYhDFG4B3fz/Kf/htxO03UV54H+L0s3B/EmGUUNrgst5OjtNGF/Sg8LGHmGF/W1t2ynYmk+Hy5cstT6Hruo5hGF0zJttta0tV1UOv+ED5d/rOO+8QiUQOJWB0tyqDEILp6WmSyWRHBFmrFQ7LssiktkhvJRFCoGoaA4PDDQWPEIJcrkA6kyVfKALgcjrwelw4nY69HZwNi1zBIF80KJYeC0NdU/G4NJyO8h+HXjfg3BeAsRMNoxqi0WhPuNw+6dQP2ubzeeLxeMVN2u/3V+aDek3ESbZv++VyOZbv3iCQWCT1tX/N/MSr9EWjDI6cRb3zNly4CqeegbvvwPIsnOxYTNW+OE6uzdCDwsee5dlPOT2bzXL9+nWGhoY4f/78vk4GB8mmaoVGra1Gx3LYFZ9YLEY2m+XChQuHFjC6U8XHrpSFQqGOCbJm22xCCLLpNOmtBJZlkc5mGRw+QSgU3va9lmWRzuRIpTOYpoWmqQT8XpwOHYdj57ekZQnyReOR2Hnsy+PUVQI+J+5HQqcy97MHO0U12Anm9vBmqzMnR4GjJhbcbnfNoK0d1Hnr1q3K4sfGxgaRSOSJqtwdBRRFwev14h4cJWG+SHTuWziUDCt5H1OuQZ4pTbPxX76KuPAqfboTZe6OFD4dpueED+xvjsBeq7548eKBZk/akUa+Fzu1thody2FVfKoDRr1e76Gmqjd6TuxYjHPnzjE4ONix+97rtSiEoJDLsZWMYxoGhmmSTKW58MzFbVVD0zTZSmVJZ8p+PS6Xk0jYi8ftwjTLZoP1WJYgVzDI5kvki48cnBVwu3TcTh23S0PbR2XUtAQlU1Ayyn9HfNq2LRZ7eNOeOYlEIrhcrkMX40869UGdW1tbzMzMkEgkKm7StmANBAJHSuAdZyzLIjdyHpHdxHvvTSa+52MwMYFVWKVvdZr7w+dQfVF892+yNPo8kUiEYDDYE21Mu8p4XOhJ4dMKpmly+/ZtDMNo2ZW3EXarq1O0Ykh4WBWf+oDRr3/9610/hmrqxcf8/DwLCwttjcVo9r6rKZWKbMXjFAt5NE1nI57A6/Pz7HPP11xsyoInQzqdRQBej5tgwLdjbIQQgnzBJJMvkSuUX4uaqhDwOvC4HDgdzXvzmJagUBIUShZFQ1B8JHasuocU9GhU+xpWz5xMTExgGAbxeJyVlRUSiQSFQoG+vj6i0Sgez+7BqpLOoigKbrebs2fPAuUPVrFYjIWFBVKpFF6vtyKEen2r9VhiWagz7wAB1GAE6/KHUP/4X6J+80+w3vuDKM+9B+Wr/5IzegnxvX8ZAxVfJsvKygpTU1MV24NIJHJoLWhZ8ekhUqkUk5OTlcDJdrwgOtXqqm5tNbtW3622WzXJZJKbN2/y1FNPMTw83NX73gm74mOaJrdu3UII0fZYjJ1oJHwsyySVTJJNp1AUFYfbw92pe9vErGlapNIZUulyhcfn9RAM+nA0mB9TFKX8/dkSmVwJ0xKoqoLf68DrduCsn9NpgBCCoiHIlwT5kkW+WK7m2GgqOHUFv1vFoSs4tEd/dAV1j9vWdZ2BgQGcTidOp5Px8XFisRgzMzPkcrmuOBS3k6PW6tqN+sfidDoZHh5meHi4xn9mamqqkk9lP1cyZLUL5FKo97/NCaefxLMfAG8QcfE7UK+/ARsL0D+G8AZgcQrlzAs4gEGfv1LJzuVyxONxHjx4QDabxefzVZ6/bhnbSuHTBZo5wS8sLDA/P992x+BOiI1iscjk5CR+v3/X1lY93Wi72di/04WFhW1RHva/H9aFQlVV8vk8b731FqOjo5w8ebJrx1L/HBTyORKbG1iWhdfnJ53NMTs9U1N9sixBKp1hK5VBCIHX4yYU9Dec3xFCkCuUSKRy5PLl6o7bqRH2OPC49L0HnE1BpmCRK1jkSgJbo6kKuJ0qAY+K26HicihoTc7+NEP1KnYjh+LqVksvlOqPM7u9Nxv5z9hr1w8fPgSoeAf1Slvl2OELYb7w3Xi+9ceYS7dgcBDx1POIu2+h3nkT6ztPwug5mJ0E0wCt9jzh8XjweDyVoNV0Ok08HufOnTuUSqWaoNVOCdnjlMwOPSp8dqNUKnHz5k10XefVV19t+6f+dgufeDzOrVu39hWb0K2Kz14Bo/bF/7CGJrPZLJubm7z00ktd8w6yqa/4aLqO7nDgD4aZuX+fYrHIlStX0HW9nP6czZHcSmOaFh63i1DIj7NBBcQSgnSmQCKVp2SY5eqOx0HA50TXdr74CCHIFgXZgkmmYGE8enk4NIXgI5HjdqjoWvfWgRs5FMdisW3BndFo9NCiV+o5zhWf3bB9niKRCMCj+JN4pa3idrtr2mKH8Ts6jj5R4sRZ4tM3CC/dwZx4BhEeQpx7BfXGfy5HWIydQ7n3TcTqHIzsHFVRPd9lB602ErLtjkWRFZ9DJJFIcOvWLU6fPs2JEyc6ch/tEhvVw8H7dYxWVbWj80bwOEbBbhfudByHIXzsMM9EIsHp06e7Lnpg+1aXrjvwhyJcu3aNgYGBinN1vlAkntiiVDJwOhxE+8K4Xds3oUzLIpnKs5XOY1oCp0NjsM+Px6VhGEbDE1VZ7Fik8xaZvIUlQFHA41SJ+FS8LhWH1voFSgiBaUHRgJJZ/uNzgce58201s3jgcDgaBnfevXuXYrFY02qRG0gH5yAizuFwMDg4yODgYGXturqFWb3Z160W5rHxJRICZfkeom8E3H4W+84QLCbRrn8N470/gnjqRcTdt8qC5/KHEYoCa/O7Cp96GglZOxZlenp6V/+nVshkMo8CkY8HR0L4CCF48OABa2trvPTSSx0daNU0reIjtF+a3dpq5liKxeKBjmU3mg0Y7WbLzcZuD9qfbA7rAll/obcreLYxpmGYJJIpsrk8mqYS7Qvh9bi3nWBM0yKRypNM58vtL7eDUMBTaWfVi20hBLmiIJU3K2JHVcDnUvG7VTwudc+5nOrbKhpQKEHeEJSMstgpGmwbclaCCp42bq7Xt1pM06x8Qp2dnW17AvaTSLuqV/batdfrZWxsrGEsg90Wa2c1oZ5jI3yKObSptxC+MOYr30tJKOTOvor/5tdQH97EmngBceoiysw1hPkBOPUseA62OVUfi1Lt/5TJZCqD7pFIpKUP45lMhpGRkQMdWy/Rk8Kn+k1cKBS4ceNGy/Mx+0XTNPL5/L5//iCtrUbH0olWlx0wWigUmgoY7bbw2draYnJyshIoOz8/f2gr1NXCZ35+nsXFRV5++WXcbjfJrTRbqTQICAX9BPy+bR46pmWR2MqTTOceZWM5iQQ9uJyNf+eGKUjlTJI5E8OsFTteV3PbXCVTkCtCvlj+O1eC6iKNQwOnDiFvedjZqZe/5tBo2gNov9hW/n19fcBj76BGxnytmo+2wpPa6mqFRrEM8Xic9fX1mmpCuw0vj81z4/JiPvMe9BtvIO69jWV5EYOnsFbGUO99A2v0AmL8GdTpb6GszCLe89G2H0K9/1MmkyEej9cMutsVo90qetK5uYtsbm5y586dtoiIZtmv2GhHa6ueTgiOXC5XMXlsNmC0m8LHHlp/6aWXKj1lVVUPXIXbL3a78caNGwghuHLlCqWSwfLqBoZh4vG4iISC6HptRUoIQTKdJ76Vw7IEfm9Z8Dh3MCjMFU02twwyhbJC8TgVon4Nn3vvyo5hCrJFyBQE2UK5kmPjdkDYC26HgtsBTgdNV4q6Qb13ULUxn2EYNRUG2RZrTLeEgr3ZV11NqDe8tJ+vg4jWY1PxAcTQaczkGtr8LYL+CVTtAtb5V9H/4t+Uqz5PvYRw+1CWZxCnOpvPpSgKfr8fv99fGXS3lxIWFhYqFT17Pqj6/ZbNZncVPh//+Mf58pe/zODgIDdu3ADK1i0/9mM/xoMHD5iYmOD3fu/3iEQiCCH4W3/rb/GVr3wFr9fLb//2b/Pyyy8D8PnPf55/+A//IQDT09M/IYT4fCd+Fz0pfOzYiWQyuaOrcafYj/DZ79ZWJ45lN+z8sosXL1Z6ws3QDeFj+zFZllUZFrY5zGDMUqnE4uIiTz31FCMjo8STKbLZPJqmMRCN4PHUnuCFEGRyRTYTWQzTwuN2EA15G1Z4hBCkcwYbqRK5gomqQMirEfKqOPXdB5zzJUjlBOlCuYUF5bkfrxPC3nK7yu1sv8jp5HNRb8xXnVc1PT1d8TPp6+vD6/Ue6GJ/bKoKHN5jcbvdjIyM1GwbbW5uVkSrHbLaag7ccRA+yvocItgPLh/W2csoiVUm0vOYloEID2L1n0SdvYZ1+gXE0ATK8v1yWbaLz2P9UoL9ftvc3KzMeP3xH/8xH/rQh0ilUrsON//kT/4kn/70p/nYxz5W+dov//Iv84EPfIBf+IVf4Jd/+Zf55V/+ZX7lV36FP/zDP+TevXvcu3ePN998k0996lO8+eabxGIxXn/9db7xjW+gKAp9fX1/T1GUPxBCxNv92HtS+MTjcTRN4/Lly11/Q7cqNtrZ2qqnXYJDCMG9e/f2HTDaaeGTy+W4du0aJ06cYHx8fNtzfhgzRkAlw6q8kTTAytoGliUIBnwEg/5toqJQNNiIZ8gXDZwOjRN9Abzu7b9rIQSJTInNrSJFQ+DQFAZCDnwOsa1yVP0zttjZypUHkaEsdAYCCl4XeJz72+QSojzrUz3kbAkYOOTt1fq8Knvw9v79+5XB22g0emS8gzpFL4i4atE6MTHRMAcuEokQjUb3nOU68sKnVEC79zbCG8R84QOgapjPvBf9rS+hzl3HOv8urFPPob/zhyhrc9B3AmXuJmSS4A8f2mHXv99ss93f/M3f5Fvf+hYrKyv84A/+IN/zPd/DmTNnap7D973vfTx48KDm9r70pS/xxhtvAPATP/ETfNd3fRe/8iu/wpe+9CU+9rGPoSgK73rXu0gkEiwvL/PGG2/wwQ9+sNIGB/4Y+K+AL7T9sbb7BttBf39/WxO2W6FZ4dOJ1tZ+j2U3CoUC169fP1DAaCeFx8bGBnfv3t21CtVt4SOEYG5ujtXVVc6cOUvJFGzGkzidDvoiwW3r6aZpEUtm2coUUFWFgYiPgM+1PbFdCBLpsuApmQK3U2U06iLo1bEsq2E7r2gIkllBMvtY7Phc0B9QCHhoyZtHCMiXyn9yJYWCAcUSFE2wRO3tKIqg3y+6+QF0T+q9g+zBW9s76En1o+lFobBTDtz8/HylemBX7+or+r0g5A6Ew4X59Kvot/9vxP1vYZ29DIE+Vh0RhhbvYI1dQAyMI1xe1Pk7mOeuAKDElhGHKHzq6evr46d/+qf56Z/+aX7kR36En/u5n+P27dv87M/+LLOzs1y5coXPfOYzO37gX11drWxfDw8Ps7q6CsDi4iInT56sfN/Y2BiLi4vbvg4sAKOdeGw9KXwOk2bERqdaW/Uc9IJvK/bz588fKGurE8LDdrKOxWJcvnx515mAbra6TNPk5s2baJrGMxefJZFMo6qCSCiA31/bXhFCkMoU2ExmsSxByO8mEvJsy84SQhBPl9jYKmKYAo9T5USfG59bq9xe9e1aliCVh0SmPLsDj8WO3w16E6vrQkC2WP6TKyoVwSN4dH8InDq4dPC7waFZOHRwao8HnXv52lM/eFvvR2N7B+0U03DkL65VHIXHUj/LlclkiMVi3Llzh2KxSDgcrsyX9KKQaxXRfxJz9Dza4l1EcAAxeIo55yBDVhrt3tuYL30Qa/Q86v1vw/PfhfXq9yH6T+55u4dFLpfjpZde4gMf+ACf/vSnMQyDb3zjG02bGiqK0lOv0Z4UPof5C9pL+HSytdXqsexE9fp/O2ak2i187Cwwn8/HK6+8sudJrlsVn2w2y7Vr1xg7eRKny/tI9Cikt5IETtb6RhVLBuvxDPmCgdup0x/xbZvjEUKwlTVYSxYoGQKPS2Okz1kjeGpu04BE1iKZLbeaHFq5jRXygkPfy828vL2VzkO6oJApPK7i6KrA7YR+N3gcFm5Heeh5v2+zXjSYa+RHs7m5+UTENBwF4VNN9ZBtvQnf3NxcRfgkk8mj5fwtBMrGHCIyCroDa+IllNQm2r23MPwRDFXHmngBbeYdzK2N8mzP/W+hxJcRY+cP++h3pX6rS9d13vWud+36M0NDQywvL3PixAmWl5crERyjo6OVKi2UF1rsSq7dGnvEGFDzhXZxvM4AbWAnsdGN1lY9+7ng1weMtuOk0c6w1K2tLW7cuNFSFpiqqh2/2Nott3NPn6dQNCkWS/SFgxSLebYSj18PlhDEt3IktnK7trXSOYO1RIF8ycLlUDk54MbfQPAIIcgUBGuJEqkcKEDQA2GfsufMjmHCVh62cgrpAphW+XtduiDiA7/LwucqC6h2cRQusNV+NPUxDXNzc6iqisPhwOVyHTnR0Iij/hjqTfhWV1dZXV2tcf6225idDiU+EPk02oNvIzYXMZ9+N6gq5oX3oL/zFbT73wS85SrP7LdRl+5hnbuKUFSU5BriRPOmhYdBqVRqeTb0ox/9KJ///Of5hV/4BT7/+c/zAz/wA5Wv/8Zv/AavvfYab775JqFQiBMnTvDhD3+Y//6//++JxyuzzB8C/k5bH8gjpPCpo5HY6FZrq55WKz6dChhVVbUt22WLi4vMzc3xwgsvtOQJUe+e3E5sQbuxscHZcxfIF0q4XE6ikRC6rpFIFCuiK18osRbLUDJM/F4n/WEfWl28RLFksZLIk86ZODSFkaibkHd75pYQglTOYjVhkC0INBWifujzK7u2sooGJHOQzCpkigAKuiYIusHvtgi4YIeN+SZ/H2A8cnMumgqG+cjzx9N7VZ5mqb+wFotFZmdnSSaTvPXWW13zDuoUQoijUxVpAk3T8Pv9PPXUUzVu0tPT0+Tz+d4NxPUEMCcuoc9+EzE/iXXqRXB5scafRZv9NmHHCXC4EIOnUFfvY527ggj2oyTWDvvID8yP//iP88Ybb7CxscHY2Bivv/46v/ALv8CP/uiP8tnPfpZTp07xe7/3ewB85CMf4Stf+Qpnz57F6/Xyuc99DijPFP3dv/t3uXLlin2z/0AIEevE8fak8DnMTy/19223ts6dO1cp1XXzWJqpdOwVMNqO4ziI8LAsi9u3b1MqlZoyTKynUxUf25/H5XJx+fJl0pkcXq8bv89bM3sjBGzEMyTTeXRN5cTA9m0tyxJsbBXZ3CqiKDAYdtEXcGzb/LIFz0rcIFcUOHWF0ahO2KtgGKWGBoKmVRY7sYxCplD+d7dDMBSEoMfC02LbyhI8MjZUHg05K2U3Z1OhaDyeA7Lp81mEPJ3PjOsWTqeTYDBYcSjOZDJtWcM+LI56xaee6hmfRm7S9YG49vPVSTfpZhEDpzCzSbTVGYQ/ioiOYY08jbo8zenCJggL68Q59JX7KOsPEeFB1IW7XV9lb4VmXl9f+ELjxas//dM/3fY1RVH4zd/8zYbf//GPf5yPf/zj9v9+rpXjbIWeFD69wGG0tupp5mRmB4wqitIwYLQdHKTVlc/nuXbtGkNDQ5w6dWpfJ+hOVHwymQzXr1/n1KlTFSv2YGC7YCyZApe/n2Q6T9DvIhra7s6cyhmsxPKUTEHIqzMYceFoEDSaypksxx4LnrF+nYhfQ1UUisUi2Wy24oBrDyfHMgqJbHlex6kLhoMWYS+4mvyga1qQKShkigrZR3+qh5xB4NLBqQn8LoHTWx56dmoChw4OTbCLpdCRp3re5NSpU9vWsDvlTtxOjrPwqaeR90w8HmdtbY179+611eupaYRA2ZxH9I2BqmKdfA4lE0eb/RaGNwSeAMXx5/FO/ReMlfuI4TMItx91ZQYReTQ7WMyDq/vXmGY5bq+xnhU+h2laZ1kW3/zmN7ve2mqVZgJG28F+nZNt5+1WDRMb3X87hY99knz++ed3DN6zLEEsmSWZKVc6RgaCeNy1asMwLVbiBbayBk5d5dSgG597+1sqW7BYjhmk8xYOjRrBA5BKpbh+/TpOp5NCoYSvbwzcAxjCgaoIQt5y1cXn3PtDYXnuR2Err5AuqI+2wso/5NAEXqcg7C3/7XUIXI5yLEYr9OJwc7uoX8Nu5E5sewe1OvPQKY7bRamVra56N+l6r6fqNmbHnq90DHXhFlYmgRh/vjzbc/Yq+uSfos1+E/OZ91EKDVPSPPgW72AMn0H0jaCsPcB84f1Y48/2bLUHyuLyuC0EHK9H0wbi8TjZbJann366662tVrADRp977rmOp+a2Kjyq52batVXWjottddr7bkaO5VmeNCXDwuvSWF1awDMxVHM7iUyJ1XgBIWAg5CQadG5raxVLguV4iUTGQlNhpE8nGtBqKkarq6vMzMxw4eILbBVdxDMKhlBQrQJGahalGMeKhBGOKDj9QH3rrFwZSuRUEtlyZQcUVKVcwRkJlf/2uURbhpyPywW2WbFQ706cSqXY3NzsamjnXhw34XOQx1Pt9WQ/X7FYjBs3bmBZVk1brG3V8UAUa/gs6so0lsuHGD4DTg/mqRfQ77+Dtf4AKzBMzNmHP7eIktrACvajL01BPgPe3k49z2QybR+fOGyk8HlEdWvL5/MdyPemk1QHjF65cqUrw32tCJ9SqcSNGzfweDxcvny5LReDdrS66lfoG51YxaONrfhW7tEsTxCsEivi8X0XDYvlWJ5M3sTr0jjR58blqH2MliVYSxqsJcvVosGQxmBYrzEbtEVYPJVn4PQV7scUQBDyQH/Awud0oCinKBZP1IR4lvOQ+nD6+0kVnSSyKkWz/LN+l2A0bBF0l4VOO/JGTatcRSpZCiVTwTJ6s/rZDRRFIRgMEgwGa0I77Qqi2+2uabN0i+MmfCzLakuFofr5mpiY2BbJoOt65fnay016L8TQGaxCFnXlHpbLi4icQERPYq09QFu4jXW2jy13GFFYRV2dxRwub3EpWxuIHhc+6XRaCp9u0c1WV/3W1je+8Q1M0+yZFpd9YttPwGg7aFb4pFIpJicnOX36dMWxs5v3vxPpdJrr16/vuu1WLJmsbaYolEz8Xhf9ES+aqpLLGQghKiaEa4kCAMMRFxG/Y5uhYTJrsbRZomRC2Kdyos+Bs86DxzAMrt+8h+I9AUE/WzkYCkHEY+Fy1H6v0+lkeHiYoaFhUnlYSZgsFByIggbCxEmaIS8M9zm3CbC9EI9iKnIl9dHsT3nQuWCURU6pgaPzkM/Y4daOFu0QC/Vtlmw2W7N91C3voOMofDpx7q2PZLDdpO0PFS1v9xlFSKxA9CQoCuLkc4hiFmX+BsITALcfa/x59Ftv4Fy/j6J7EP0nUdYfwumXEICSTdLrjePjlswOPSx8ukWjrS17jbwXViXtakcsFttXwGg7aEZ4LC0t8eDBg5ZX1Zu9//2K4JWVFe7fv8/zzz/f0GVUCMFWusBmMoOiKAxF/fi9j096iqKAovFwPUcmb+Jzl6s89SGihZLFwkZ5jsftVBgfcOD3bD95x5MZphbSqP5z5fZXSGEopKIqglJp++ZU0YCNtMp6WqVgKKiKTp9P0Ocz8Oklksly6+Xa3BYej4doNNowBsCwIJ1XSRUUsoWy0MmVlBphoyoCl17+43WK8mCzJnColP/WBKKUZ7EjC6ZHn0bbR5ubm8zNzdmhi5VIjXYKFSl89ke9m3Q6nSYej1c2UG3hGg6HGwvX5CrK2n2EZcLg6fJg86mXUO/+OerDG1jnXkX4I1h9o7jj8+j+c1j9Y+hrsyjpGLi8KPl0xx/nQZHC5xix29ZWu1PRD4Kqqty7d490Or2vgNF2HcNOwqe69bafVfVm2E+ryw5mTaVSO7YEDdNiPZYmmy/hcTsY7POjV21jCSFI5wWuyCmyBZMTfS7CvtoqjyUEawmTtaSBAoxGy3M89ReikimYWcqwVXCiufsYjigMh9SKZ49l1Qq7dEFhZUslnlEQKARcFiNhkz5v2fOnzOOKgxCiUnG4fecOJUPFHRpGc0cpCjeZooo9H1QWNhYhj4XHKfA4BB6nhbOJmIqMJY7FcHOnvW/qt4+KxSLxeJylpSXu3r2L1+vdMauqVY6b8DmMx1Mdsjo+Po5pmhXTywcPHqCqauX5CgQC5ePrG0MUMmW3ZqcHwsPgdCNGn0F9eL389YEJzBNP44gtEjUSiPDZsmlhfAVrcAJcPWzI+AjZ6uoinXzh72VI2CvCp1AokE6nCYVC+w4YbQc7CR97VX1wcLCjrbdWW13FYpHr168TCoV4+eWXGx5XJldkLZZGCEF/2EfQX+u+bJgWy7ECqZyBZRQ4NzawrcqTzlssbJQolARhn8pIn2NbtIQlBCsJi6WYiSVcRP1wsl/f1v4qfy8kMmXBkymqaIpgMGgxGCh79eyGJRTyIkDeGcIIn6VoKBQBJW+CkcIp0oR9CsNRLwGfe9/P1XG6wHYTp9PJ0NAQQ0ND27KqSqXSgbyDjpvw6YWsLk3TKkIHyueUWCzG4uJixU26r6+PvshJPKU8LN0Fhwt8kfJ8T2IZZfkeIjgIvjAFd4hwPgaqjvCFUdIxzOfff6iPsVnkcPMxoBlDwl4QPvZx+nw+xsfHD/XE1kh42AGozzzzTOXk0Claeex2JMbZs2cbPr+WJdhMZNjKFHA6NIaifpx1VsepnMHSZh7LEgwEde7ffYDz7OOtLtMSLMcMNlMmTl3h9JCDoHf7xSqRsXi4YVEwQDOzPDMewOfe/n2WJVhOwmLMQdFUcOmC8T6TAb9FAzugCiUTNjMasYxKIqtiCQVNFYQ91qMhZwufS6AobnI5UY5smF0il8vte/5EiLIHUPHRqI/ziTuDHJz6rCq7urC5ucn9+/dbHro9bs7NvSB86rFn7YaHhxGpDQqFAus5i6l70xiFAs/7NRwPJzHGX8ThC2GNXUS9/Z9RlqcQEy+R9g4QzU9jpGPgC6PElg77ITWNbHUdYVoxJDxM4VMfMDo1NXXoIqxa+LQ7ALWd7DVnVCgarG6mKBkW4YCbvlCtwZllCVYTBeLpEi6HyuigB4cGM1WtnVTOZH69PLzcH9QYjtRuawHkS4KHGxbJrEAYOaKeHGfObBdhpiVYTsBiHEqmgs9lcSpqEvaIHVtOpgWbGZX1lEY8W25fuXTBUNAk6rMIeqyG21zVa76Nsqsiff34gv2g+8kb6iM35/KAc9G0h50VSqYHtH5W70HEa/LKqUJTz02v0UtVkvrqQv3QbSAQ2NWLppceSzvoZSEnhIDkGq5cirET5ypZcKnNdfT1uxRnr3G94CUS6WM0OIwnsYTIp8m4Q/ShoCRWEG4faikPlglq7zuDZ7NZKXy6RTvfyK1mbR2W8LFXwd1ud+U4u5VMvhv2MRiGweTkZM3x9QKWZTE1NUUul2s4ZySEIJHKE0tm0TS1oRlhrmiyuJGnaFj0BRwMhl2oj2aLhBDlqkzcYGPLxOVQODvowOeuW2MXgpWEYClugRAYWw85f6qPvr5a0WNXeOZj5VXxkBfGIuDRjIaRFUKUfXrWUhqb6XJlx6ULxsIm/QETn3NnoVSPaUG6oJNhANM/iOZQyRQgllMh9/hGFMrDzM5H7s1+l4VTEwirRDK+ycjIEB7H0Z/16UXqh24bedFEo9GKd5BlWcdK+PTy41EUBTFyHhZuwco9xMgFVG+I0MAQOMG/eJuXTvaziZeHmzmeFhC/8002tAj9Di/uxArW4OnyjRWy4Nm+cNFrpNPpjlf1u03PCp92sZ+srcMQPjullvdC203TNAqFAm+99RYTExOViIdeoFgscu3aNaLRKOfPn98+VGyYrMXS5AsGPo+TgT4fmlo7wLyZKq+p65rC+KAHf5X7sqIoKLqHqaUihZKgP6hxIqI3iK0QPFg3yZfApWTJxaa59PzFmoqYEILVLXi4Wd7WCnthPApBT9m6oVisfWwlE1a3NJaTGgVDRVMFAwGTwYBJ0N2c2MmXFBJZlUROJZnVSBeUSlyFqpS3t4IeixNOA6/LwuOwMAtbJOMbxOPl9a1IJEI0HCUQCFAoFJiOLTHeF23q+elVjkqVZCcvmuqIhmKxSD6fP7AXTa/Qi62uahRVQ4w+Aws3YXkKcfI5FKcHgoOI5Bra5kMGz1wuX2/mIRpbYNkKsF7SOFXa4uHyKhOAkU6iHwHhk8lkGB8fP+zDaCvHVvgcJGtL0zQMozt+JXsFjLYrGf0grK+vk06nede73tVwJfywSCaT3Lhxg6effrripWIjhCCdLbIRzyCAwT4/fq+z5sJQMiyWNvNkCiYBj86JPndNMrp4tLHljp7HsgRPDTsIeGpL06YlmN+0WN96lHFVmEcx01x++cWaIdV4RnB/vRwOGnDD08MQ9ja+SGWLCksJjbWUhiUUgm6LiWiRqL9xG6uakgmxR3M/mxmNfKl8AdGUssCZiJoEPBYBl4XbsYN48gaIRgLAaUqlUmUbKZVK4XK5KBQKFAqFI5lkftSp96LJ5XLcuHGDhYUFZmdneze5vAV6UfgIy8LceIgWHkZxulE0vVz5mb8Ji3cQ48+haA448TTMvAVLU3DqRcTgaZTNeUZdBiJ6GpauEQ2HWVNPsTS3QG5upWawvdceN/TWjI+iKKeBDwCLQAbYevQnBeSEEE35A/Ss8DnIJ5dWW1v1aJq2r2yqVjFNk5s3b+4aMHqQgNCDYlkWd+/eJZfL4fP5ekr0LCwsMD8/z6VLl7a55JqmxXo8QyZXxO3UGYz6cei1v9utbInlWB5L0HBNvVCyeLheIlsQmPk458+fQNNqX5PJrMWDdYuiAVGfxfrcNYaHBxkff65yW/mSYHYdNtPgdsAzI9Dna/z6zhQUFhIONtJqOeE9YDISMvG5dm8ppfIK6ymNzYzGVk5FUB5y7vOajPcZhD0mfvf+nJwdDgeDg4MMDg4ihKgY9NlJ5nZkQ6+etI87Ho8Hj8fDU089hdvt3pZcHolEiEbL1bqj8vz0ZDXONBD5NMbKNPqJcygOF4rD/ajtdRNWZhAj51EcLhh8CmXlHiIdg0AUfGG8uTRpRzlP0et24p74DiJQqeBtbGwwMzPTk6G4PTbjcxr425SFThBwAm5AAwYURfmsEOKTe91Izwqf/bKf1lY9mqaRz+fbfGS12OngewWMHlbFp1AocO3aNfr7+zl//jxf//rXu34MjbB9g0qlUkOxmM2X19RNU9AX8hIOuLcNMK8kCiTSJdxOldGoZ5vjcTxtsrBRFr7jAw5uX3+Apj1u75lWeXh5IyVwO2AsmOX+1CQXLlyohFtalmAhDguPzP5O9cNomIYzPFs5eLCuspF2oynl2Z2RsLHrxlS+pLCypbGS1EkXVEA8qgwZRP3mjkPOzSAEFE3Il1RyRYW8oVIyyrEVheIgWa8XLRjBNAWLRZPZJQtzXhBlihNRT9cjG/ZDT15c94n9WOq9g+qrdZUV7L6+lirg3aYXKz6Kw4k+fAZjeRpj2RY/ThS3H9F/CtYfQHIFwicgcgKxMQeb8xCIIgL9uDLTZDUNoahQylVut76CVx+K27KbdAfopXV2IcSfAc8c9HaOjfA5SGurnk63umw34WYCRg+j4mOLx+oLeS9g+wYNDQ1x6tSpbReuYslkeT2FQ9c4MeTHVaccqgeYowEng+Ha1pdpCRY2yqGiPlfZfdlZJ4q2chaza+Uqz3BYgewyD6ZrK0/JrGB6rdzW6vfD6QG2RVEAZApwf01hPaWgq4KTkRIjYXPHMFHTsmd+9MpGV8hjcn6oyFBwd6HUiIIBWzmNVL7sG5QtKuSK6jZHZxtNFaiKXl6bLyhoqoLLqeB1lxPeJ8KnyKXWaiIbotHozs63krawk4irr9bZBpdTU1MUCoWaFksvPT+9JHxss05FUVCcnrL4WZl+XPnRHRAagkwCNuYRvgiKww19Y2VX51wKEehHXZnGWUyB04NSyO14f/WhuOl0mlgsVqmwHsTvab/YcR69gKIothOrE7gEfC/wNSHEnymKcgFYF0Js7nU7vfNqPwAHbW3Vo+t6R6osduson883HTDazeFmIQRzc3Osrq723Kq6YRi88847u4ox25fH63bWVFaEEMRSJVYfDTCfGvTgc9e+9DP5cmuraAiGwzqDYW1bpWghZrGaFLgccP6EwuLcVMWxWtM0DFMwuwGrSXDpcHEU+nzbL0j5EsyuKywnQFPh9IDFWERgmcbOLbC4znJSx7AUPA6Lp/pLDIdMvM7mNqvyJYVkTiWZU9nKaSTzamX+B8Cpld2cgx6ToaDA/cjN2eMQuHWBQy+3yvL5PFNTU7zw9AuNngEIjVUiG2xvmtnZ2Yo3TTQa7YkS/nGs+OyGoij4fD58Pl9lBTuRSGxzJo5Go4c+JN1LwsdIriOMAo7oKIqiori8aENnMFdmMFdn0U6cRVFVxOBpmLsGq7OI0QsokZHHVZ/RZzBQcea3EJoDzObGKKrdpE+dOoVpmpXnbHZ2Fk3TKq3mipt0B8hkMj015iCEMBVF+SjwYeA7gBjwZ8CngPvA/7LXbfSs8Gn2SWxHa6ueTlRZqgNGL1y40PTjU1W1K/NGhmFw48YNnE5nT62qCyGYn5+nUCjwnve8Z88WSnXOFjQ5wJw0WYkbOHWFsyec29bU0b3cXChvbA2GFIb8JpOT5U0y+7mMpQXTq+UW0WikvK1V7+9jWDC3oTC/CQI42Qen+stD0XZ76fFxwXpKYz6uE89qKAgGgyZjYYOw19pzo8t4ZG64ltLZSGtki/ZjKqe49/lMQu4SIY9FwG223YhQVVUikUglV872pnnw4AHZbLbGm+aoDuH2CvsRcdURDNCGwM420kuiVNF0zNQmpfUFHP1jKKqK6vbBwDjm2gOs2BJa/xiKw4XoHy+3vDJx8PeVIyziS2CdI4sDXyEDmlb279kHmqYRjUYrH/wKhQLxeJyFhQVSqRQ+n68y2N7OVqb9fu0R7BfGB4HfAd6iPONj09Qvt2eFz160s7VVj6qqbW11ra+v7ztgtBsVn3Q6zeTkJOPj44yOjnb0vlrBNE1u3boFQCAQaPkEvNcAc8kQPFwvkc5bhH0qY1FHzQCzeOTLo/ddxLTg6RMqipHmnXcmK5tkhim4vy5Y2wKvs1zl8btrT9pClKtA02sKRUNhKCh4alDgaRC7ZlqwnNR4GHOQLaq4HRZnBoqMhA1ce7xbU3mFtZTOWkojntUQj5ycoz6TiWiJkMck6LbQD8Ezrd6bxh7CXVhYAOhYgOdO9NLF9aC047E0CuysbrHYlYVQKNSVFkuvPDd6oA9UFSO2TGlzAUf/yfI8lS+MCA5gba2jePyovnC55ZVYgY2H5ZZXcBAltojIxMmjETDyWBOX9g7EaxKXy/XYTboqBsVuZe7Xnb2eXprxgUqY/TrQD7wAXHv0tSjwTjM3ciSFT7tbW/W0q9UlhGB6eppkMrnvgNFOGxjulV5+WORyOa5du8bIyAgnT57k7bffxrKspk66piVYjRdIZHYeYE5mTOY3SghRzs6K+GtbWwVDMLtqkcoLRCHBc6cHWF9bYXZ2lpdeegmfz0csI5heKVdqTvbBySiodSe1VB7uLits5RQCbsHzYxahBkUr04KHMZ25mIOioRJwmzw/WmAwYO54nhQCUgWV5aReNeQMQbfJU/0l+v0mfV6Tg749hCgfX8FQSOd0ciLISlLDtBRMq5wxJlBAPD4rCQEn+0oNK0mKohAKhQiFQpw+XV6Zj8ViNQGedsq8XJnfm3aLuEYtlng8XrN5ZD8/Xq+3Z0RKO7FME/XRuUb3hcuGpPEVSpuLj9peCmrfCKKQwVx/iOL0lKs+0TFYmS5XfXxhhKpBOk7RUlAwsHzhjrg118egNHRnr2qLtXLNNE2zZ2bAhBD2xfB3gR8C3gtkFEX5fcotrz9p5nZ649E0YKc3UydaW/W0o8pSKBS4fv064XD4QAGjnar4WJbFvXv3yGQyTc8bdYvNzU3u3LlTUyFrVgBm8waLm3lKpqA/6GQgVDvAbFmCpUc5Wx5neYDZ7aw9CcTS5TV1IeD0gMrdyXvMTMfJZDJcvXoVRdWYXhWsJHeu8hhmeY5nPgYODS6MWJwIbf+wJwQsxBXurWjkSwoRr8lzI3kiu7Sz8iWF+bjOYsJB5tFGV9RncipaZDho4m7RUVmI8m2mCyqZQnnAOftooytbVMkXFcyaYecISzN73+5g0MCp730sDodjW4Dn5uZmTbWh2qlYUkunq1eapm3zDorH49y/f59sNlvxDmpX29IeKD4sjEKObGwNT7gfh6dc6dD9kbL4SaxSii3j6DuBoihoA6cwFu9ibi6gDT0F/ijoDyG+XG53+SKQiVO0ABUwSuDsfMWsvtVcv+HndrtrNvx2ev30YmVUURRFCPFtRVEeAA8ob3n978AfCSGaWsfuWeFTTydbW/UcVGzY4uz8+fOVk8V+6UTFxxZlfX19XLp0qekXdqffBLsNVyuKsusJ0RKC9WSRza0iDl1hYsiL11V7gskXLebWSuRLgoGgxnCfXlOhMS3B/IbFekrgdcGZIQ0Ng1wuh6qqXLp0iXQe7q6UB5RHI3Aqun1FfT0FU8sKBUNhJCI4Myi2bWoJAWtbCndXVNJ5hZDH4uJwnj5/48coBMSyKnObDlaSOgKFPp/J6Wie4aCJq0mxIwSk8uUh53hWI5lVSeY0Smb1Y7CHmwVhj4knJHDpAqduoYgSS4tzPH32KXQVNK089Gz/tGL/tyL2dX6v/uR66tSpbU7F9gk7Go0e6BzQiyf0/dLtx2J7B9mbR/VtS7uyEAwGj6RQ1RwuNKeTXGIdISyc3nIlXA/0gWVibG1gOlzowSiKw4UaOYEVW0Rkt1B9IUR4uNzuKuZQPEGU1AaCR78HcTiebPUbfrlcruLJlc/ndzW+bOX19Wu/9mv8i3/xL1AUheeff57Pfe5zLC8v89prr7G5uckrr7zC7/zO7+B0OikUCnzsYx/jnXfeIRqN8ru/+7tMTEzseR9CCKEoipuy4MkA36JsaNj0L7enhY99set0a2un+22V6gDPdomzdld89ivKbAHWqf6+aZrcuHEDXdcbPse7CcB80WRxM0+hZBH2ORiKuGoGi8uxFCZLMQNNoWGaerYgmFktDzAPhxVG+1SymQzfvH4dh8PB2bNnmY+V4yZcOjw/BqE65+WiAVMrCmtbCn6X4Lkd2lqpHNxaUtlMq/hcgkunTIaCFqWSxWMJ8ej3YsFiQufBhoNUQUNXBRP9JU71lfY0NgSwLIhnNTbS5T+xtIZhPY6sCHktxiIlAm6LgNvC5ypvcu30FisUiiSWkkT93TmB1/uc7LSSHYlEurbe22scpohr1LaMx+OsrKwwNTW1L6F62IJUUVW8fUNk4+vkk5sIIXD5yrYjWrAfq1TASK6huryoLg9qsB8rtYEZX0LxBiHQDxsPIbUB7vIaeMXNYp+Dze1EURS8Xi9er7eygWnnwc3PzyOEYGlpCV3X+a7v+q6mb3dxcZFf//Vf59atW3g8Hn70R3+UL37xi3zlK1/hZ37mZ3jttdf463/9r/PZz36WT33qU3z2s58lEokwPT3NF7/4RX7+53+e3/3d393r2DUhhAl8Evgp4DrleZ+/B3xJUZS/J4TI7nWsPS18oDutrXr288ZrFDDaDtpV8RFC8PDhQ5aXl/clyjopfLLZLNeuXdvVzLHR70EIwcZWkfVkEV1VODngIeCpfUkbpmB+vcRWziLgUTk54MCxbaurHDuha3D+hErQq7K2Vvajef7557l+c4rJedjKw0AAzgxSsxkGsLZVnuUxTHhqwGK8n20GgiUDplZVHm4o6BpcHDUZj5YrJvU6u2TC3KaDB5sOCoZK0G3ywmiekbCBtsdLK1NQWE7orG7pbKa1Spsq4DY52Vci4jOJeC387v2bHB4W9Sfs6vVeXdcrsyd7rczLik9n2Kmy0O6B205QzOdxuFxlzx5FxRsZJJdYp7AVKxvH+MqD946+ExRX8hQ3F3ENn0ZRNbTICcy1B4h0DDUQRXhCkNqEYPma5VQfnbsOuY3XCFVVa8SrYRgkk0n+j//j/+CXfumXyGQy/Nqv/Rof+tCHuHjx4q6vNcMoV8gdDgfZbJYTJ07wZ3/2Z/yrf/WvAPiJn/gJ/v7f//t86lOf4ktf+hJ//+//fQB++Id/mE9/+tN7vpYfiR6Avw58lxBi/dH//5yiKNeB/5XySvuu9NYrr4779++3tXrSKXYKGG0H7aj4GIbBzZs30TSNK1eu7Eu8dGrIemNjg7t37/Lcc88RCoV2/L76Kly+aLIUy5MvWgS9OsMR9zYxspUtDzCbJoz06fQHaweYS6Zgds0imRWEvAqnB1V0FWZmZojH41y+fJlkwYEIv0CmIHh6WGEwWHsfJbNc5VlNloeXnzkl8NfZHwkBi3GFO0sqRRPGo4Knh62Gg78FQ+H+uoOHMQeGpTDgNzgzUKDPt/OQM5TFzmLcwWJCJ5EtP78Bt8lEf4mo36Tf33w7bDd65QILjVeyNzc3a1bmo9Hokc6tOso0qizUD9zaz1+1D81hzPiYhkEqGUfTHQTDEVStfK7whAfIxdfIb8VAUXF6/SiqhiM6SnHtQXneJzqK4g2huLyYiVUUfx/4w7A+V3ksJUXDfPrd4O6Z7agd0XWdD3zgA3zgAx8gFovxYz/2Y/j9fl5//XXu3LnDpUuX+KEf+iE++tGP1vzc6OgoP/uzP8v4+Dgej4cPfehDvPLKKzUGmWNjYywuLgLlCtHJkycr9xkKhdjc3Ny1E6EoylOUs7lmgBcURfkm5RZXEdh89G97P8bWfiXdxd4q6OU+sZ0Z1ShgtB0cVHA0G42xF+1uudkzW5ubm1y+fHnP7R3791Bd5dFUhbF+N0Fv7UXNsgTLcYONLRO3Q+GpIQceV91WV7bswGxYMN6vMhhUME2Tb397Eo/Hw4svvcyDDYXVLcDK8cKEb5u/TzwDtxYVikbZhPBUgypPOg83FlRiGZWIV3B1zCTYQMMXDbi74uRBzIlpwUjI4KmBss/OThRKCg9jOgtxR0XshL0mz44UGI001wprhCXKQipTUMmXyrNKhUd/5wpO4oXnWbjmpWgoCKEgKIs7ATWbXaoCqirQFFBV6PebvPts56JgXC5XxfXWLt9vbm5WcqvslksvbS8+SdQP3BaLxcpsULUPzWEIH03XCYQipJIJkvFNgpE+NE0vi5/IINnYKvnkBqquozvdqC4PemgQI7mGlU+jeQKoocFy1SeXQnE/eo0Vs6AoKCjg3fmDXa+STqeJRqN88pOf5JOf/CSmafLNb36T1dXVbd8bj8f50pe+xOzsLOFwmB/5kR/hj/7oj9p9SJ8EHMAK5erOH1PO7fo+4DbHQfgMDg4eWkAn7F5CrvaY2SlgtB0cRHCsrq5W2jV7RWPshaIobXsuDMNgcnISt9vNK6+80pSwVVWVgiG4v5KlULKrPC70ur5PrmAxt16iUBL0BzVORPSa4WNLCBZjFiuJcs7W0yc0vC6l0m47deoUoegJri+UIyfG+mBl5g4u/eWq2yhHTTzcBI8TXjkttokZy4KZdYWZVRVVhefGTE72bU9DN0yYXlO5t6JhPBI854aK+HcQLZaAtS2NBxuPh5zDXpNnR/OMho2WxI5plQedtyqOzuU/qby6LbJCQeDUBS7dQkEQ9lo4H7k5Vwaasf9bIFCwRPn3YAkwLYXALiKu3VSX76F8ka02exNCIIQgEAjsy2ZCcnCcTuc2H5qNjQ0KhQJvv/121+MZnG43QbWPVCLGVmyTYCSKppfFjzcyQGZjmVx8DV//CKqmowX6MDMJjMQ6qtuP4gmCqmJl4mjRRx8yCxlQ1HZZ93Sd+mR2u2vQiD/5kz/h9OnTDAwMAPCDP/iD/Pmf/zmJRALDMNB1nYWFhYpX3OjoKPPz84yNjVXaa01EJNmGhQ7KoicIuIB//ui/m3L77Wnhc5jsNtPSripKK8fRCkII7t27RyqV2rd/UD2aprXlk1gmk+HatWtMTEwwMjKy9w9QruDgCrORUcuZVv1uAt7tmwdrSZPVuIGmNR5gzpfKA8zZAgwEFU5GVTRVqbTbnn32OXIE+fZD0FV4bgzCXoW1+4/L79kC3FxUSOUVRsKCc8Ni28zNVg6uPdRI5RVOhC0ujli46jotQsDDTZWbixoFQ+FEyOTMQJ6Qp/HvuGjA/XUnsxsO8iUVp25xZrDEqWiJYJOComiU3aDXtsomh4lMOcn90RHhcwlCHosT4RJBTzkV3uOwHm10lUVNsVjk1q1bvHTupabus1dwOp01K/O3b9+uzOVZllVj0NfLFeZG9FL7cb/Y23wul4t4PM4LL7xQmd+6f/9+S/NbzSKEIJ3J4XI6cDrLb1CH00kwEmUrESMZK1d+dIcDRdXw9A2R2VgiF1/HGx1GURT00AClzUXMbBLdF0bxhhGZBERPgsMNhfKcbb2/11Ehm8023ckYHx/n61//OtlsFo/Hw5/+6Z9y+fJlvvu7v5vf//3f57XXXuPzn/88P/ADPwDARz/6UT7/+c/z7ne/m9///d/n/e9//57PqxDi/7T/W1GUMOU2lwDygCmavEj1tPA5zDe0XWmpFz6tBIy2g1Z/B8VikWvXrhGJRHj55Zfb9jtsR0q8PTDcyu8uVzBZ2MiBI4BbNzk1HNgWBVEolXO2sgVB6JEDc/28z0bKYm697I1zZkilz6/WWCS8dOkyDxNONtMQ8cK5YXDqSuWxW5ZgOVFeU1cUeH7MYqDuIVhWuXozs6rg1OGVCZOh0Pb3YSyjcP2hRjyrEvFZvOuMQcRnkcuVqH9L5ooK02tOHmyUZ36GggYvniwwHDT2NCY0zHKo6eqWztqWRuJRsKmqCKJ+k2dGioQ8FkGPRcBjoTd5vT9sn5WDoigKDoeD/v5+IpEIhmEQj8drVubti2wvzxYeR4QQqKq6LZ6hPrW8OvJkvx/shBDkC0Uy2TyhoA+Pu9xu1x0OQpEoW/FNtuKbhPr60XQdTXfgCUXJJTYopBO4AxFUTwDF6cZIrqN5g6j+CGY6hsgmUZzecqtLWKD09KV2R9LpdNPC59VXX+WHf/iHefnll9F1nUuXLvHX/tpf4/u+7/t47bXX+KVf+iUuXbrEJz7xCQA+8YlP8Ff/6l/l7Nmz9PX18cUvfrGp+1EURQfeD7xG2bk5A/goz/h8uJnbOJrPRheobzHtJ2C02yQSCW7evFmJU2gnB5k1qnawvnz5cksnKl1T0DUFK7tOwOPftqa+sVXO2VIUGB9wEPHXClXDFMxtWMTS5aHjpwY1XI7yPI898P30s5e5tVKe1ZnoL/vz1AhGRePuqs5GWiXsFVwcLbfJqknl4dqcxlZeYTRi8czI9uHlkgk3FzVm11VcOrwyYXCyr/yBZWZmhsXFRRwOB5FIBF9wkKVsP/MxB0LAWMTg3HBx15kfKBsRLsR1luI6q8nyRpemCKIBk+dGiwwGTaJ+c8/NsJ04DtWFenRdZ2BggIGBgcom0ubmJlNTUxSLxZqU+V5cmT/qQrQay7IavsbqU8vt+a2DVOxUVSUaCZJIpkluZTBNC5/XXTYm1HWCfVGSm5tsJWKE+vpRVRWHx49RyFNMJ3G4vWgOF3pokNL6Q8zMFpovBIqKyGfKye05A0UILI5WFdGm1WT2119/nddff73ma0899RRvvfXWtu91u93863/9r/dzWH3A/wB8BngJ+Gngb1M2M2wKKXx2oFr42AGjg4ODLQWMdgs7yHNpaYlLly7tGeS5H/YrfEqlEtevXycQCOzLwdqhq0wMeZlJmzX3XyhZzG+UyORFeU2934FDr4+LENxfNSkaMBJRGYkoKIpSFYcxiuIb48YiuB3wwkkIeOpuIwdp17NYaY3TAxYT/bXuy0LAgw2Fu8squrZzlWcprnBtXidfgjODFs+MmDi0x+GwLpeLV199lWxBcGNe4fp8AIQgpK1yuj/LyGBwxwFwwyzHXTzYcLC+pSFQ8LnKrbCRiMFAYP9Cp/pxFg1I51QyZoDFmEbJBMMqr/CXTAXDVBCi/PvR1LIXkFY14Kyp4NAFTq08L+TQwakLdLVt8UUt0ei1WL2JdPLkSUzTrKTM379//4mIazhMmklmVxSFYDBIMBisrF/XV+x2cyU2LQvt0X2oqkokHGArlSGdyWGaFsFA+XnVNJ1AOMJWfJNUIk4w0oeiKLiDEYxCllxyE1/0BKrLi6I7sbJJdH8YxelGlHKgOwBBdvgiyeUV2rvv2x3qZ3x6hADlIeavAH9XCHFHUZR/AHwB+EfN3EBPC59eaHUdJGC0G9iVC0VR9r2q3gz7ET6pVIrJyckDr/krioKqqpWBVLvKA41ztoQQLMUFS3ELlw4XRjUCjyIlKr5Q559lNR8iuQn9AThb581TjpKA6VUFFJWLwzmG+2r31PMluPawbEQ4GLR4fmz7LE++BN9+qLOcUAl5LN51xiTiKwujXC7Ht7/9bU6ePMnA0Ci3FhRm1p1YFkz0lzg/VMAqCTY3s9y6tYBpmpX4hkAgSCKnc3/dwdyjNljAbXFxtMjJPoOQZ+8E93pKBiSyKslsecA5lVdI58vO0rlSeYOrzEtM39jhuXo02NwK338pSzTQ3SWGZqskmqbVrMzbLZf79++Ty+UIBoOVlfle86U5ijQjfOqprtjBY5PLaldi+zlCUVndzODzOAn5nY88exSCAR+qqpLJ5hFCEAqW54gcTif+YIj0VpJMagt/MISiargCfeSTGxj5DA6PH9UbxNzaQJglcHoQmQRCc6AIgeHwYKm91yFohmw224vCR6Xs1eMBHiiK8lFggOPi3HyYqKrK3NwchUKhqXXrw8DeRBobG6v4IXSKVoWPPQv1wgsvtOWNoyjlZPPp5SLZQrnKM9bvqMzh2OSLgvtrJpkCRP0KpwbUSnvs4cOHLC0tcebiFe7HHFgWnB2CoWCtyC6ZcGdJYT2lEPULzNhtAq6nau5nNalwfV7FEo03tsrePSrffqhhWvDsqMHZoceGgbYAe+aZi8RKUf7wmk7BKLe0njlRwO9+dGF21cY3bGwmuPHQZC2nUsSHqliMhQucO2HR79/d66eaQgk2UhobKZX1lEY8oz7K/Xr0+0bgdQn8bsGJiInXWY6x0FWDlcVZnnn6KXQNdK0cx6Frjys3QtibXOW5J1MoWFa5OlQyoWgolAyFogklQ8HnPpzNzf18sKpuuViWVYlrqPaliUaj+P1+WQ3aB+0wY6z3Dqp+jhRFpX/4JCkBRcOkP+RBVcviJ+D3oioKqUwOsSUIB8vPocvjxTAM8tkMDocDl8eLw+OjmEmSTyXQ3T60R8LHzKbKYaWWCcIERW04K3pUSKfTXTMOboFF4J9Snu35J8CvPfra32j2BqTwaUCxWGR9fZ1wOMzly5cP/QRmr5JXfxKyy7p7Gf+1i2aFjxCCqamptoafWkJQVALkSz40VTA+4CDsU7dVeda3yg7M1QPMUP4UeevWLUxLMHD6KtPrCl4nXBgDr6v2uU1my1tbhRKcHbI42QeTCVGpEJgW3F5SebipEnQLXjplbjMsLDyq8iwlVCJei1dOGwSqvmdhYYGFhQXGn77K2wteElmV/oDFd4zmCHsb/45zRYV7q16m10IUDZWw1+R8KInHWiIZX2fursnWo2pQo4ykbFFhMaaxktRYS2qk8va/l1fTh0ImYW+JkNci7LUIuBvHVpRKJTIrMQZDEzs+X4pCpbVl30ft34dPO+ZiVFUlHA4TDod56qmnKr408/PzpFIp/H5/pS0mV+abYz8Vn92of45KpRKxWIytTBwhwjxcjuFQikT7Irjdbnw+DygKqXSWrVS20vby+gMYpSKZ1BYOlwtV1XAFIuTia5Wqj6I7sfJpdO+jrQfTAFVr+2PqJr3Y6noUSWHXnP8CeFVRlAnKA8+TzdxGTwufwxAc9ifxSCTC4ODgoYseeCw67HaPPSjcrlX1Vo5hN4rFYiWRvpXw091I50wWNg0Kwo9TyXNuLLRtY6tolB2Yt3KCoKfswGxXggqFAt/+9rfpGxwlrY6ynIQTYTjdXxsuKgTMx2Dm/8/efwdHkqbnvejvy8xyKFQVvPceaKB993izhpw1tCuKWlFHJBVX0hF1FcGIq4grSowrMUIRFBmHQYlBSqHDI4mkpEOzZ0Vyl8vl7nJnd2fH9rSFaTS890AVCihfab77x4eC6Sp0o3u6p3u480ZUoBuoysrKSvPk+z5mXeBxwfkWuZ+zlXONjqfh5rySqbdWOnTVOHncmbUdwY05A9PO7/LkCPKJtINT9gLvTBsUuSXPd5rUl9pYVv72jaUFo8se5sMGjoT6UovumjSVARshNKABWhr2eQ4HGUk+PIFaErKKlR0PWzF1x+kxJFUhm84ak8qAQ3nALuggfVw9DcfD01p3+9LE4/E8Au5xwPRh62mKq3gU9ThAgiMlO0mbkiIdl8ulbA2AVMYkHBXY0mBqepZUMr4fqVHk85FMZTB0Db9f8YT8wRA74S0SsV0CoVIMjw9NN8gkdtW4y1OEndxFFitKhHRshKYoEx8Dn0dTQp30ciUBQ0ppAi8Afwv4bydZzlMNfD7MOpwMfv78edbX1x+pU/EHqRzfyHEchoaGCIVCD0UU/iB1P+Czu7vL8PDwI8tUM23JasRkO+7gNgQBfQddpjH0kv3nSCkJxyULWw5SHjgw57bLzs4OwyMj1LScYSPpR9Ogt06NwI68lwWjK4JwXFAZkPTU3Z2mLljdcTG7raMLuNhqUxU82jGwHRhZ0pnZ1Al6HV7oso948pimya1bg1i+NlatGuxtONVg0VNnY2h7zseHLmKJjGBk2cPcpoGmQVulSXdtloC3cKdChXlWgqeaHcNgbEsnGVUfwqft0hxI0FotaKwuQv+gTOe/AfW4AYMQgkAgQCAQoKWlJQ+Y+ny+/bGY1+u9/wJ/QOpxAJ9E2iEcs0lmHKpDB1YXPo+L6nKNze0UJRUNtAY9ZFJxIpEI29uzVFQqAJs1s5SEghiGC5+/mFQiTtabwe3x4PYHSe9GsM2MAj6J6EECu22BbjzWcOfHXU8bx0fKvHj7nGGhB9g56XI+Bj4UDhh91BENH6Q0TSMajTI1NfWhhrXevQ6mWdgUc2Vlhfn5ec6ePfuBYztySepr2xaOA1UhneoSg7U1m0zmYJ/PWpL5TYdoUsnUW6t0vK6DC9ny8jLziyuEGp9hLaFTUgRdh7x5chVNwu0lxTfpqnH2pOwHf7dsiMgmEuFiyvwOZ5udPCn7TkpwdUaNj9qrbE7VH1VRxeNxrg9NkfRdZDfuoSrocLHVIlDArDBjwu1lD1Mb6k26akx6arP43MePZmIpwdS6i5kNg1haQ9ckdaU2Z8vSNJTZuHWH7e004XCY60u7+Hy+fY+Ue3HXpFTrE0trxFJi72GwFuti85YHy1acHdMGyxZYe1ZiOddnKQEBupAYulJwuV3sOUArU0SPIfF5JEVuic+teEU+t3r+36S6WzKfI+COjY1hmuZDuxQfJ//+qNbjAKQBn44ENncsFsNZaktceN3qAHUZOtXlRWxup4jsZqgsCR4hsm/vxElnTG7evIXH46a8vAy3rpGI7eByV2L4/LAbwUwlcHuV55M0s+qNg5Xg8ePsJD7SHZ/HEcX0MCWEOAO8iOLz7KKiKpLAONC49+8T1VMNfD6MA/q4gFFd18lkMo/9/U9SmUyGqampxyZVP0kV6vjkRjeZTIZLly59YFVLPO2wHDZJZyXFXo36cmP/BHVE1RVTXB5HQmO5RnXooMuzP06yPGgVF9jNCForoa6EuzhBML8Fs5sCrwsutOTHTuym1GgrIUtpCCYYaPEUkLJrDC3quHR4vtOk+q5O0MbGJjem0sT0yxg2XG43aanIV1w5EibWXNxe9mLa0Fpp0l+fpeiYCApFntYZXXaxsm0AktoSm9NNWZorrLvGV/kX3XA4zOjoKJZlUVJSiqe4mpQTIpIwiCaUmiuWEpj20RU1NIlGCJnS9onNCqhIDE0RvHOf7TDR2bKVT1LWEuwktP1/3738XLkNSbHX4VMDGcqKHz036EmOiIQQ+P1+/H7/vmT+sEux2+3e7wYVkmMfro9HXYXLduQRz6+gT8djCFajJksRk6qgse/srmsaVaVFbGwn2YqmqCwtwuPW8Xq9VLnchLd3aGpuw+0SRCIRoskkleWlLMzPEQiG8Lg9WJkUHr/i9khbKU6FN4DwFWNHdj/SwOcp6vh0Av8QRWoOoVRdXkAHqjmhlB2ecuDzuCsXMFpIefQ0dHxs2+bOnTtks1kGBgaeGOgBtT2O+OhkMgwODlJRUfGBvY2ylhprRRMOLh2aq1yEio6Sl4UQmI7GxKri8hR7obVSx+s+eE42m+XW4DB6SQdpPYjfpbo8/rsIzBlLhYtuJwRVQUlP7dEOg5SwFBHcXtZw6VBjzNIQKkaIg+5I1oKb84rAXB10uNBiHZGySym5M7XCRLiCjNZAfYnNxVYLbwFK1uq24P0ZFztJjeqgxbnmzLEkZ8uBmXWD0WUVTFrkdjjbnKGz2sJ/zBjscAkhMNx+pC+IFWhnPSoYXtQwbbUBBA7FHpOSYoe6MiWRD/ikengdDM3m1q1bXLhw4b7vdZKyHUhnBcmsIJVRP5NZQTIjiKcEnh+AM9TdLsWpVIpIJML09DSpVGqfd1JIMv8x8CmwDCmZ31QqxOoSsQ+APC6NxnI361GTjV2LrC0p37PC0DRBZYmPje0km9EkVaVFuF06uq4RDPiJ7sTxen20tLQgpWR7awO/z8fW1ha6k6UyVMzyyjLlgLRNBCD2OneO43xkye05l+wnXUIIIaX8MvDlR7G8H4DTSn7lAkallMcGjD5p4JNMJhkaGqKurm7fa+JJlhBif3vkHKK7u7upqKj4wMteiZjsJh2qSnSqQkZeJIWUkpjpY5dStLSkuUKjMnh0m8RiMQbvzGGUnSHr6DSUQlP5UQIzwFYM7qwIbAd6ah1qS/JHWyNLGitRjfJih7NNDnMzKRznAHRGEoKrMwapLPQ3WHRUHe3g2LbDW4MbrGdbcOmC51pNGsvzuzypLFybMZjd1Cn2Sl7sTFFXYuatMyge0p0VF6PLKqurzG/zUnealkrrvuaEtgPrUY3liM5SRGdzR2V0CSRlxQ7tNQ7VIYvKoI1bxNmOhAmHw1i7FkV6KSXBckL+0F5syb3f60FL18DvlScCbT8o5fP5qK+vp76+Hsdx2NnZOVYy/zHwyS8BBHzqWE9mJfVl4Nu7QdI1QW2pi81di2jCxrQkNSXGnmGhRmVpERsR1fmpLlN8OK/HjcfjIp5I4fW6MXQdX5GfZDxGW2srSJtkeA2XpmFbksROlJAOW5EoJeXGx+TmR1BSSrlHbNY56tcj9x6cNKcLfgCBz+GA0fr6+mNPGk8S+ORME0+dOkVJSQljY2NPvPuUG3XlumSPcuxWV+qirlTiduWfHOJpydymTSpbhCET9DUG8biOfmcrq2vMbDhQ0o+hQ189BO9yYHYcmN4QLEYEfo/kVL3Mk6Hvj7Yy0FVj016VG92IvTEbTG9ojCzr+Fzwco9Fmf/osbYTz/LGSJYUzdSEbC63m/juutmTEqbXNa7NGlg2nG60GGiysS2Luw9d5SnkYmTJTcYU1JdanGrIUFtyb88e24HFsM70msHClk7WEgghqQo6nGs1qS+zqQw5d5G4AfwEiv00NTVhWRbRaHTfOsHn81FaWvrQ0SVPU31UAIOmaZSWlu6bp2azWcLhMAsLC/s5SqZpks1mP7JdhcP1KL4XIQSVQXWcL2+r7k91CZQUsX8TWRk0cBk24ZjN6rZJTakLTQgMXaNir/OzFU1RVabk7MFiP1vZKLuxJKWhYjy+IpLxOOlkAn8wBAhCAT8insHlciMzcWLJJAvLQ6TTaUpKSvB4PAQCgY8UCEomk0900nC49ojNj+Tk81QDn0d9YnqQgNEnAXykVJlN29vbR6Tqd4+ZnkQJoVLMTdM8tkv2sOV2CbjL7deyJcsRh41dxSOp9ieJb6/gcR14FkkpuT25xI5TAT4vdSXQXEFexyixl6geTwsaSiXt1UcT1ZWUXTC6N9p6pt2h/BCvRAhF4r0yoxyYa0JqtHW3DHx6OcWNhSLQijnfbNJRnd/liafhnQkXazvK7fnZDouSPfB0eG+zHQV4hhdVh6e+1OJsc5bK4PH7gZSwsaMxuWYwvWaQNgVel6S1yqK50qau1M5zlr5XKaVYBRUVFfvcoK2tLVKpFFevXiUQKqcoUIHLEwQ0deslOfi5929dyz3Uds8RnT0uKNDc+rjuUW63m9raWmpra5UQIBxmamqKkZERpJSHnL0/WhfYXDmO81BcwXBc/SzzH3RwizyCtipYjkjWopJUFmpC7BsWlvoNdCHY2LVYi1rU7nV+3C6dsqCX8E6anXiWkoAHXdco9hcRiyfJmpZKdPd6yWYz+AFN13FsCw2JkBJheGhrbAdgbGwMt9vNysoKsVhsX9H3UQjBfdjv43GUEKJoz8On0N/E36iOT+5u+4PUwwSMftjAJ5dpVVxczIULF46ctB5FMvoHqXQ6zdjYGIZhMDAw8FjvlHPk5aWwg+VAVUjQUKaxu2MTP7QfpNImt6ai2O4GvB7orIZQ0d0jMljei53QNRhodKi8a1xt2jCyqLG6o1FR7HCmqUDshONjcq2arC0KjrYcB94bS7G4W0LAZ/NCl0mo6Og+KyVMrqkujwCe7TDprMkHRop0rXN91kMsrVFbYnGuOU1V6HjAk8rC2LKLsWWD3ZRSdbVU2nTWWjSUP1xOl2lDJKYRiQt2kiq2IpnxksyUsZNoxU56sDY+4J05Ep8HijwSv0cpuoo8kmKPJFAk91Lj5QOBtZPWR6Xjc686TJIeGBjANE22t7f3L7BFRUX7Y7Gn0Xm+UD3MqEtK2E0JdtOCnZSksezAjkLXBI3lauy1FZOkTUlD2YG6M1i0p/jatVjfsagOKfBT5HWRztrEklm8bh2vx6DI5yGRTJFMpvG4XbjcbrLpFI6t/Hqk44BjI9w+NM/RLklFRQXBYPCIom9iYoJMJnNE0fe0gAx4Ko+R/7cQIgr815ys/RDg+XEhxDUp5dJJFvT0bOXHVOl0msHBwQcOGP0wgU/OA6ejo4Pq6uqC6/KkOj45Q8eWlha2trYe64EQT0sWtlTcRLEXmiv0fWflw6qy5c0Us1sauMup3+Py3N3lyVqKyxOOC8r8kt66/AtoNAm35nVSWeiusWmryo+dmNvSmI634NIdXuq2jnSCABJpyXdHbBJWCS0VJhdanTwpdjID70y6WNnWqC1xeK7TzBuzAWzFNN6fdrOxa1BSZPND/Snqy47fBzd2NG4vGkyvG9iOoLbU5lxrhrbq/G7UcSUlRBOCrZhGeFcjHFP/3kke7sIpYOLzgM/tEHTv0FBbti8997okppkmHouxG9vBtiyCgQChUJDiYj+O1LAdsB3FrbL2YivSWUEiI0hmIJkRhGMayYzYl8PnyuOSBH2SUJFDabGk1L/3s9h5IPPFv4l1+OLkcrmoqqqiqqoKKSWJRIJIJLKv3sslmJeUlDy13aCHAT5CQEuF8vRa2RFMrAkayw5Ummq0BT636v7MbUqaKti3vwgV6Th7NhqasKgMKvBTEvCQyVpEYmlq3H40IfB5PSSSaSzbxuVSHXkzm0VoGo5tgZRoXj968ID7ePgz3a3ocxxnX9E3Nzf31MWePGXg5+8CJUCpEOL3pZQbqJOUBP4p8P8DPgY+W1tbjI+PP1TA6IcFfJaXl1lYWLinB86T6PgcTny/cOECjuOwsbHxWN4ra6kOTziu1FWtVRrlxUfJy5qmYTkat2bTxE0vXo9NT52g2Jt/UG7swviqush21jg03OXNI6WSsY+vaXgMeKbDpuyuTW/ZcHNBkYEDrjidZRHKi48GrS6FJe9O6oCLZ9uzNFfmdyYXtjTemTRwHHim3aSrNr/LkzHh6rTO6JILr0vyXGeazhqr4BhISpjd0Lk1p5LYXbqkp97iVINJ6Qll3/G0YHFLY2FLZ3FLJ5lRbySQlPglFUGHnnqH8oCkPOAQLDoYDTqOw40b41zsu3jXUt1AOVCObdtsb28TDi+xvL6D1+ulvLycmhOY9UmpOli7KY3dpPIO2k0KdlMaWzGN6fXDYang96j1fLbLpKb0o889etA67sIkhKC4WOW8NTU17X8nW1tbTE1N4fF4jqTMPy110gvtblrg3fOCAnV8VwSg2CuZDwtmtzQqiiW1JXL/OCr2CloqYSGseD9NFQek51K/Oka3EzaGblNWbKAJQWnQy+Z2it1ElpJiD0U+L4lkmmQyQ6DYh9A0LDOLJjTV8QGEcfQO617k5hzQyXkHFYo9yf39w+7aPYpYl0dcq8AvA/8voEsI8RtSyrG9v+koX58T1VMPfB5m1JWLdYhGow8dMPq4gY/jONy5cwfLsu7rgaPr+rHmgY+jcqq3w4nv6XT6kXedbEfN3teiDhKoLRHUlmoFVV3hpEHc3QlZjYZSm6ZKHe2uE6Rpw8SaYH1HEPBK+uol/ru++owFQwsamzGN6pBKVL+7a7CbElyZMYinoa/Owp1ewRAHJzNHwq1Zh8l1L0Vuk1f77DwzQtOGqzMGU2s65cUOL/VYBH3546/pdY13J3TSWeitNznblMkjb+eeu7Clc23axVZMJ1Tk8EJPhq7a+3d3HAeWIxqz6zoLWzqRuDoJ+9ySxgqbxnJFdC4rfjTGgbquH+EGpVIpwuHwEbO+8vLygp0HIaDIA0Ueh5qS/GXbDuwkBNsJNYbbjmuEY9oDJ9E/ZXeyD10n/RyHvxM4kMznEsxDodD+d/Ikxy0n6fhICTObOraE5jKbcv9Bp9brgs5qyWoUtuKCRAaaK+S+LYLHJWiugIUtycKWpLH8IK+vrFjHtCWRuI3PreFza3jdBkVeg3giS8DnQtc1PG4X6YwCPoZhYFkWHg1yWXRCP0oyfxDn5kKxJ4W6dqFQ6LG7QWez2afNVbwEuC6l/CshxH8CfkcI8W+llG+gnJsTJ13QUw98HrRyeVGhUOgDBYzmDPMeR6VSKQYHB6mtraWpqem+65gDHh9G5datrq6OxsbG/XV70HT2e1WOx7MccTBtKPULGsu1ghf8REYytS6Jpb1IM8r5zhB+b/4BvxWDsVWBaUFrpUNzRT5xdismGFzQ9nK0bJrKZd4FcyGsEtUNDV7stKgMSubnD8B32oQ370Ak6aO+JMWzXVoeWNhOCN64Y7CbUpygM835PJtEBr4/arAY1qgMOnz2rE3Qm81TdQGsRDSuTLnZ2NEJ+BxePZVRHaF7XB9sB5bCGlOrBtPrOumsUI7OZQ69DVmaKmwqgvmf/1GXEGI/LTtn1ne485DrBp2U6KlrUBaQlAVs2h/vqn8k6mEBXCHJfDgcZm5uDl3X98ctfr//QwWIJwE+QkB3jcXsls7MlkEk4dBSfpA5pwmoL5UUeyWLYcHkuqDp0OjLbQiaK/fAT1jStAd+cmqvtJllfceksdyNrglCfg/JtMVuIktp0IvX6yaza2JaNrpuYJop0HVyB68wjgKfh5WzH449aW5u3je63NraYnp6GpfLtd8NehzfU041+BRVgAPp+j8VQvwM8H8JIf6/QBEQP+mC/kYBnxwfpauri8rKyie9OgXrYcZvjxJ03Ktyd+WF1u1RrIOUkmhSjbXSpuLxtFfrBHz5B6zlSBbCsLItwbEode2QNhfxe88feZ5pwcS66vL4PZLTjfkOzI4DE2saM5sCvwcutdl5z7EcGFrQmQ/rVBQ7XGqz9qMpcl3HrZjgzTGBaWucbUzSXX8U8eQIzO9PG3hc8MMDJjUl+Uhmak3j7TEdy4HnuixONaog02z26PN2k4L3Jt3Mbhj4PQ4v9Wborru3b080IRiaNxhfNkhlBS5d0lpt01Fj01xlF5CvP1g5DqQtg40dxc3JmjlHZjAtBTyzFliOQBNKyWXoe6ouHQxNx9Cr8BRVURWSSCfNTnyb5bVppJ2irPT4btCjrB+0js+96m7JfCaT2eecJBIJgsHg/gX2JMKQD1KFgI+UkDIFRYdiW3wu6K2xWd+VLEY1hlcMmstsKg6Ne0M+8NZI5rYEs1tK0Vm+Z0nj0lXnZ35LshiWNFeA163MDqtDLpYjJpu7iuxsGBp+n4t4yiTod+Nxq22QzZpoe4DHcRy1orqxb1x4+DM9iu7M3UaX6XT6sX5PTyHwGUZFVSCE0KWUfyiEeAdlatgPpE66oL8RwOfugNGnUSIopWRmZoZwOPzA47fHPXaTUjI3N8fGxgYXLlwo2N58FMBnfUdFTXhd0FGjUVKUb8yoAAbMbkLWlpBap7fJT3FRkOFt59DzYDOmuDyWrciNLZUyr8sTzygC825K0Fju0FeXn6geS8P7M6pD011j01Nn37UcwUosyNyyC5fI8Mk+i4rg0ROZacG7UwZzmzq1JQ4vduf792RMeHNMZ2Zdpyro8Oopi5IC55WsBTdnXQzNu9AEXGrPcrrZPHYMJSXMb2oMzbmY29TRhAI7PfU2zZX2A4+vHAnRuGBzVxCNC6KJg0csCZJneHel8GsFEpehJOuOBNtWoFLK4y7ObiAINAPgXbfxGhlcxPF7LCpKXNSUe6kpdxEq4p5drh/EehwAzuPxHJHMx2IxwuEwS0uKN5q7uAaDwUf+3oU+z9quzsymQX2JTWPZAfAXAmpCDqEiZ7/7s5NyaC5Xwb8AHgM6qhTvZ2lbw7Ql1XudTkMXNJXD3B74aalSgMjn1igr1onEbYq9DsVenUCRm0TKJJ4yCRV7MHQd07T2I3UcS/lqaa78a8/jylPzer3U1dVRV1eHlJLd3V0ikQhLS0tIKY98Tw9zE/G0mBceqv+PlDIDIKW09xRdc8BFIcQ/Pk7qXqieeuBzvx3GsiyGh4ePBIw+bWWaJsPDw/j9fi5evPjA6/g4Oz6WZXH79m1cLtc9t9+jsBUoDwh0TaMiUNiJOp6WzGzAbhpcIoO+O8X5gU48Hg+mae5vg1RWcXnCccXl6W3ONyOUEhbCgjsrGroG51tsakIFyMd7oy1dg+c7LKpD+VydiUgV4XSQEneMVwdceO4yWsyNtmIpwblmi/7GfHPBtajg9WGDZBYutlucbXYKXsTnNnTeHveQyGh01Zpc7jCPdTW2bLizZHBz1iCa0CjySC53mgw0mfgfYDQfT8FyWGM5LFiOaGztCCzn4AMUeRTpub7cIdQoCa/P0dvdTJFHKeXchpIPu/cAT6FD1nEUALIdsCxIm4KMeehnVpA2IZ4S7Ca97CS9LO4K5qIC5tQyNOEQ9NlUhjTKg5KygKQyKCkPyoeS7P9NqMcdUiqEIBgMEgwGaW1tPSKZHxsbw+/3748qHwX5tlDHp6LYJpYWLEUNNuMa7ZUWZf6D82Gu+7OyI1mOasQyBu0VNoG940bXoLVCsrQN67tK9FBXosCPy1By97lNyVJY0lyJIjX7deJ7qe5+j4bL0PC4dJJpSwEfQwEfcsDHMfH4AriCZcdux8dZQghCoRChUGj/e4pGo6ytrTExMYHX690HQiclsyeTyaeq4yOlXL/r//LQv3/3QZb11AOfe1UsFmN4eJjW1lZqa2sfy3t80Duq3DreHYL6IPW4Oj7JZJLBwUGampqor6+/53MfxYHr0pWj6t2VtSTzW7C+q0IwveYyHrnDqfN9+ydBTdNwpBp/zez5x3RUOzSU5XN50iYMLyoCc0XA4XRjfqK6ZcOtBZ3FiBptXWy18jo0uynBm2Ma8XSAKvcSr56rzLuoz2xovDdpYOjwQwVGW46Em7MaN2Z0Aj748YsWVQUAWDwF3x3xMLdhUFZs80OnU1SXHJPXZcPIgsH1GYNEWqO6xOa1sxk6ak/m2RNLwcyaxuKWxko4J10HQ5fUlkrOttlUhiQVe+DiMHlaSsm15Brd9Y33f6NDpWn71whwQ4DcNjgeTEsJiTTsJAXhXcnKVpbNqMPSpoupVS+SvX1DKPBTGZJUhSRVIYea0nv7/3w86nq4KiSZzwXe2ra9T1wPhUIPdRNqOZC1DQ5fbl06dFVbVAdtpjZcjK66qSi2aa8090e3QkB9iUPQK5ne0rmzptNU6lAddPaDcxtKVUd4Ky5wpPq/EErWXleqpO6bOyrfSwhBWbHOWtQilnYI+nR8XoNoLINp2RiGTjqTPbgZlBLNcD01+5TL5ToSTFyIzH5c/luunsJR1yOrjyzwuVfA6KOqnH/Ow85nV1ZWmJub+8Dr+Djk7LlYjP7+fkKh0P1f8BjKdiTL27AcUQChOmCxtXCLqtpqmpr6jzx3JyVIFZ1mal2jvFjSVSMLRkGsRlW4qO0cT2COJlXWVjwDPbU2PbX5HZqFLY33p3WkY9FdukLQnUCIA96Y7SjV1sSqTnXQ4aVek6K71ieZgddHDFa3NTpqbF7ssfMUWFLC7UXBW6M6UsLljgynmwvzeCwbhuYNbsy4SGYE9WU2P3wmTUOBHLC7K5aEiRWd8WWN5bBauN+jujjn29XPqpL7d04+zBO7EFDsg2KfpL4cTrcebOBYfIeF1RiL61l2Uh4ydglza0WMLuQ2sAJttaWSmlKH2lKZ9/melovUB6knnTKfk8w3NzfnRZzkugy5lPmTVELUcmOlhOa0RUuFuT+yAgj5JOeasixt6yxGDHZSHtorTSqKD24QAl5Jf50iPi9s66QtaC47AD91e/L2jZhASmgsU+eHoE+Q9EsiCZUdV+wV+D0aHkMQiVsEvBo+jwI+ybSF28h1eg7eW3MVjgx50vvZYYFBQ0NDwfy3w47fufWNx+MPdN2KRqP8w3/4DxkZGUEIwX/7b/+N7u5u/s7f+TvMzc3R0tLCl770JUpLS5FS8ou/+It8/etfp6ioiN///d/n/Pnz93+TR1RPPfC5e6c5ScDoo6oc4HjQ93Ach7GxMbLZLJcvX/7A8tBHaWCY4xpFIpEjsRgfZkkpWd+FhS3I2lBeDKWuXaYnRujt7d33tADFi5naEKzvGCAs+huU+3IhL5yRZY31HY2SIsnpRrvg+GtqQ+P2so7HgBe7LCoDRzsOtqM4QVPrBh52+cSARiouSSQOnpfIwBt3XGzFNE41WJxruZsTBCsRwesjBqYFr/ZZdNXlf3/xNLw+pLOwqdFQ7vByb4Zir12A9wTjKzrvjruIpTQaK2w+e96kvuze+0QqA6OLOmNLGisRdaKuDDm80GvRtefT81G99geKizjVWcSpTvbVLuHwHJuRBGlZgqlVEjODzK4b3F5Qx2+uo1Vf7pBNBGkx4SNiaHxsPU2dq8MRJ8CxDsWlpaXHnlM91hrFoSrmwm5WdnQ6q0xqggc3JpqApjKbcr/D5IaLsTU35X7V/cndVBgadFTaLG5L1nZVTl17peqGCgG1JRIhJOu7Gh5DUr1331cVEiQzkpVtSXu1MkUtK9ZZjVrEUg7BIh23SyOdtfDt7Ti2c3Be0I3C59KnzQ+nUP5bjhsUi8X47//9v9PT04PL5Xog4POLv/iLfOYzn+HLX/4y2WyWZDLJr/7qr/KpT32KX/qlX+LXfu3X+LVf+zV+/dd/nb/6q79icnKSyclJrly5wi/8wi9w5cqVx/WR8+qpBz6HKxcw2tDQQENDw2M/4HMeDQ8CDnJO0dXV1fT29j6SdXxUo64cH8rn8+XFYnwYJaUkHIeFMCSzEPBCTx3sbC0xt7B8hJjuOLAYgbkt1ZZurpCsTd2gKvjsXcuElajK2VKJ6zatlfkX9LQJ1+cMNnaVe/K5Zmvf2yNXiQy8M2EQSeiUuzd49XQAw9BIJw74TatRwffvuHAkvNJr0lxxFHzIvdHW9RmdkB8+f96irICx4Piy4I0R5UXyyimbgWYHy5LcjW+XwhpvjrrZ3FWy90+fTtNYcTzgkRIWtwRDszoTKxq2I6gMObzYZ9Fd71AW+GAnYdOCeNbL7JogkVbgLZ09UHNlLQUeD2d17f9bKh6Q1517SPXTpbx7AkWKq+V1F+YJHVeH1S5dsO8bFA5P0+TK4C2uwtQr2UkHWInoXJnQkbKbG6tqNNZU6dBUKWmoyI8redrraQI+d9fdXYacQ/Hs7Cy6YaAF2mir0gkEDqTYwknTV5umKeswse7i9oqH5ahNT02WYs/Bvuv3SM40qO7PQsRgN+2hu9qkpGjPRFBAU5mDx4D5iMadNZ3u6gNVY3VQjdjXdjW8boeQT3F76kphdlOyuSupKREUeTTchmA3ZSvgY+gk0ub++SBnWqgbLkSB8+nT/P3k6m7vIE3T+PrXv863vvUtotEom5ubvPbaa7z00kvH8oN2dnb4/ve/z+///u/vL9PtdvOVr3yF733vewD83M/9HK+++iq//uu/zle+8hV+9md/FiEEzz77LNFolNXV1cdGWbm7PjLA50ECRh9VPSjgyMnB7+5afNB6FOTmeDzO0NDQY+VDHVdSSraTML+lwIXPDT21UFokGR8f2zdx1HU17tmKweS6IG0KyoslnTWSIjesTx3dBqksjCwpLs9xXR6A5W3BzXnlzHq2yaKlIn80tLKt8d6UjmU7dJWtcq7r4PsTQuA4kpFFnZtzOkGf5NU+Ky+PK2PCd28bLGyp0dZLPTauu46wrAXfG1Ejp5oShx86axdUdiXS8OYdNxMrBgGfww+fzdBdd3wie8aEwVmdwVmNaELD45KcbnE43WoX5BTdq6RUPKD1bcF6FCIxwXZcEI1DLCWAc7y9cPQ17j0X3ZyiS8D+eGH/gVpuOqsepl0YeOuapNgHAR8EiyQlfigN7P0slgTvo+7y+Xz7N0e5blAksoI0o1SUuwm2VzC9lMId6mAl4uLmjM61KYFAUl0qaa50aKl2qCt7NIaOj7NyF6qnve52KF7dtrmxFGJtPoMvM0VlUZKKivJ9z5uSIodLLRlWojpTm26uzHhpLrdorTCPqLoay2zK/A7j6y5GVlw0l1s0lBwcJ9VBB48hmdrUubNq0FOjDD9znJ+0pUQQHVVqdO51C0r9ku0ElBVL3IYaeW0nbGxHYhjaHohXx5Rj2wjpoLsLtw4fJoLjSVbOtPbSpUv746/W1la++c1v8q/+1b+irKyMf/fv/h0XLx51bp+dnaWyspJ/8A/+AYODg1y4cIHf+q3fYn19ff96U1NTw/q64icvLy/T2HjAE2xoaGB5eflj4JMrKSVjY2Mkk8kTB4w+qjrpiElKyezsLFtbW8fKwT/oenyQjs/6+jrT09MMDAwQCATu/4JHVFJKdlJqpLWbVtLSzmqoCqr26vXrg1RWVtLS0oIQymV1Yk2wnVCePGeanH3fjaPLVZ2giTV1Qumts2mpyO/yZC0YWlQE5tIihwutFoG7vhrHgeFFnbFVA5eM8Vxrisaao6DVljrj0Ua21w2aK2ye77Ly/HDCMcG3hgwSaXih26KvIR9crUcF37yps5uEy502lzrylV2K86Pz1h03lgPPdGa50G4dewFOZ+HalM6NaZ2MKagvd3i+16Sr3jmxZ49lw0oEFjcFS5uClbDK0MpVwCcpKYbWGpWPFdmY4cypNoq9Ev9DdGgOv286q7pxybSK0ogllbIrllIgaTUiGFsERx4O7ZWUB6CqRFJdIqkuheoSBZburru9T3LdII+zijsR5nxNKZ/oLSdpl7EcMVjY1Lg6qXNlwsClSxorHFqqJS3Vytn6abt5f9o7ClIW3jdqS3WecaUYW3OzwykczcSKLpJMJrl58+Y+N6iuJEBlwGZyw81c2MXark5PTfYIryfX/ZnccDEfdhFPa3RWH/CDSook3dU24+s6d9YMevfAj6ZBa7lkYl0wtyXoqlEcsIqAIJpUXZ/6MkGxVwGfRNrBtYe6LHsP+Dgqs8vlKzwS+qgBn8OVTCbp6uritdde47XXXgMUt7YQX8uyLG7cuMFv//Zv88wzz/CLv/iL/Nqv/dqR5whRWM37JOqpBz47Ozt4PB66u7s/9I2m6zqWZd3zOYfl9A8jVT9JPeznzkV37OzscPHixQ/M51Gdj5MdyMpxWXnkuHVor4LqkGon7+zsMDIyQnd3NxUVFWQtlZ21sq2kp101DnWl+WotUMGiI0vKl6cy4NDf4OSRnAHWd1SXJ21CT61Fd62Tt7xEBt6bUlydYrnCywM+AsVHid7RhOCduUoSWYOLbRa9Bbouk6sa37+j43HBj16wqL5L2SUlDM1pvHVHo8gDP/mcTX1ZfhdmNyn41i0vyxGdhnKbT/Rnj83fyphwdVLn+pTiMHTW2TzbbVNTerLuzk4CplYEkyuCuXWBZasPVR6UdNRJasocqksl1SXkjX+uXt2ipbr1RO9zrzL0HHkZZeVzjNLLcWA3ieo6JWA7JtjcVUDt9vzBvuj3SGrLJbVlUF8uqS2TebL+XDdoc3OTvr6+fVVSNDpDwO3m5fZyis+VsZUoZm5dY25DMDOkEGSoSNJW49BW49BYeXJg+TjraQc+V2e96Dr01GTwe45+rxXFNi+0p1jdMRhfd7OYacMdCtLe6SIT39rnnOTyqiprq5gO+7m16KU2ZNFVnT2Uwg7d1SYBj8Ns2CC95KavLrs/zg54JT01NmNrOuPrCvwYuupQtlRIpjYEqzvK5NDQVdcnEodKS3V9DA0SGYfyQA747AEvKfEU+THchW92H4Yj+rRUIR+fhoaGgs/NdVifeeYZAH7qp36KX/u1X6O6unp/hLW6ukpVVRUA9fX1LC4u7r9+aWnpvsriR1lPPfApLS19YiZK9+u0fBhy+oct0zQZGhoiEAhw4cKFR3JyzI3cTgJ8dE154LRXqXm6toc6VlZWmJ+f59y5c3i8RcxtwnxY4DhQXwotlbJg9lTWgqS7k3cmFTH5bJO9R1LMf97wks5CWCfglbzcblHmzwcDSxHlsGzbDjXGJC+crcsjoc9uaLw7aaBrDt2hKfrqm4783XHgvUmdkUWdmhKHTw9YFN3V8c6a8PqwztSqRmu1w6dP23gLqNFuLwi+M+RBAp8ayNBXwAso956Dsxpv31HOzF11Ns/12FQVcIi++z1WwjC+pDG5ItjcUQsvKZaca5e0Vjs0VMq89X8aStOgpFitq6qDz5rKwkZ0byy3LViNCKZXQe51iEJ+SX25pLFS0lChgFxu9717/JLrBi3MKclvU0kJ5y6UI9ylLGwazKxpjMxr3JzRMTTFDWqvdeiodQp2mz6MepqBj5TgdUlmt1wshg2aK0y6a7JHHJiV0sqiOmgxF3YxvlrCOzM6LeU+OrurMbSDvKrw6iCGIwkFulndqSSS8DJQnz3C66kvtSlyS8bWXAwueuirO+AGFXsknVU2E+s6k5uK86MJ8Hugohi24lDmhyI3lBULInHJdkJSHdLweTSSGQdBTs11sC+6jlFzqed9dDs+iUTixHL2mpoaGhsbGR8fp7u7m9dff52+vj76+vr4gz/4A37pl36JP/iDP+DHf/zHAfixH/sxfud3focvfvGLXLlyhVAo9KFeQ5964PMkD+p7AZ/V1VVmZ2cfq5z+YSsHyNrb26murn5ky30QrpHXJbjQcnBSllIyPj5OKpXi4sVLbMYNZpcEGUtQEZC0V+UHiqrXwWJEMLGqkTVqaKmQdNYUvttejQpuLRhkTOiqUTL1u+XZlgO35lV+lUfE6SpZ4VT30bw024HrszpjKwZVQYcztWG2t47GwKSy8O1hJVXvb7R5ttPOG1uFY/D16wY7SXihx+ZcW/74K5mBv76pMbmqUV9m8+nTGULHnGtm1jS+N6wTjmk0Vji8OmDet8OTzMDwrODGtEZ4V6AJBQI+fdaho16NjJ7S6+aJyueG5iporpLkAFHWhNVtWAmrsd3ilmB0QX05bkMBIcOuI7ip0VzN/hjxMDcoR8bNdYPcbjeXGsv49EA54aSfmTWN6VXlwv3Xt6CmVAGgjlrnQ8lAy9WTBj5zWwbRpEZ3jYnPfXRfFAJON2borM4yvqZGVQthFy17AMjrOqSI0qC90mRz9n2K6p5lNuxiOeqipyZDQ+lBXpVlWWxvb7ManmAz28S1OS+V3jCdNYKiIoU+S/0OpxuyjK66GVpy01Nj7hsehnyS1gqbmS2DhYikpVz9viYkiSYFy9uK7+PSlTnqThIqgxKvSyOWcnD2HMhzwEcIoWIrjqmHzel6GupBnZt/+7d/m7/39/4e2WyWtrY2fu/3fg/Hcfjpn/5p/ut//a80NzfzpS99CYDPfe5zfP3rX6ejo4OioiJ+7/d+73F9jIL11AOfJ1mFgI/jOIyPj5NOpx+JVP1R1+MEZA9Kss6dkA+CY0uoazvL9XmNZFYQ9Er66h1Kj7nQh+NKrRVLq9azZ/MGffVn8p6XysLQosFKVCPodXi23aa0QJdnOyF4b8pgN6URkAucbZbU1TYfeU48Dd8fU+Ov3nqLCy02sRhEDklSN3cF3xpUY7RXT1l01eZvk4kVwetDqjv1k8/Y1JcX6Dptwdeu6qSy8Eq/zenm7F7Q4dEL2W4SXh80mFrVKfE7/MSzJh219/buWdqCaxMadxYFtiNoqJD8yGWbnkaZ13F6kJISTFtnM6o4OPEUe7wc9T1kTTWGs+yjyi5NHBCfDz9chgIvPo/KbgsUqUexj4cmFrtd+WBoJ6FGY4tbise0Hq1j8g2BoatOUHOVpKVaUleuLsKFukGRSIS5WdUNaiwp4czFcmy9lNkNF1MrGm+NGrw1CiV+SWedTWedIkg/TlzyOIGPZd//O4gmNcZX3UysuWmpMOmty+47JufK55acbcrQVZ1lbM3N7Kbi4nRWZek4NK4C0DA53ZChudzk9oqHoWUvi9s2A/UZAl4HwzD2jPnAtBxGlrNsJivYmQ3jTd6gJFS8n/V2pkFye9XNnVUXfbUmpXvgp6JYkszarO3qFLklVQHF7akrkSxENCIJlekV8gtiaUkyo8xXAcx9bo8DSNxuzz23/6PK6XoSlUgkHogTevbsWa5du5b3+9dffz3vd0II/uN//I8faP0+SD1dV+2nrO4GPjmpelVVFT09PU9Vi9lxHCYnJ0kkEo8NkD2MuiwWizE0PExNUx+RbCmLy4q4PNDgUHFMtyGZgbFVjbUdDa9L7o+13t1IHHmelDC7qXx5HAl9dRad1YUJw+OrOsOLOobmUGHf4tJAfZ46cCmi8da4gbxLqn44rmNiRePNMR2fW7kwVwTz+SjvjGncnNWpLXX47Hk7j2fiSLgyLnjnjkbIDz/zik11CWQyzpETpePAjRmdt27rSODlfouLHce7M0sJ06uCt0c1FjcFHpcaY53vsKkqOfYrOrZSGTUeWw2rn5tRCO9C1joPo0efq2sKvHhc6qHrCuzkvt8ckdmyjz6ylvp5dwkg6IfSAJTtPUoDUB6EypJ83tH9KuRXY6/+FvV9Xbk6SLB6gMUtg/l1wRvDGm8Mq45QS7WkrUbSVispLVaf4e4088PdIK/LxSsd5XiLK1iJ+plcUdyrq5MGfq+ks86hu96moSI/S+6ktbkrSKQFTRVH9+8HUXVlzJNvN9OG//V+ETUlNr11JlXBwkD7bFOWjiqTsVUFaGY3XTSVW/TVZQkVHT1XFHkk55tVB+jOioexNQ8zWy56arK0Vpho2sHNUsjn8FxbisVtg7E1D29O+uioMumoyu5vQ5chONtksxDJMrVRhlH6HP7gJpHIOjMzM7hcLkpLK3CMFu6sueivyxL0qe+/sdQhlRXMR3QCHuXaXlIEW3HJ+q6gzK860EKoKJ3y4qPAx7YdNOng8tx7xvmD1PH5KNVTD3ye9KgruxeZHYlEuHPnDj09PfsKkQ+7jru7y2azDA4OUlZWxrlz5x7bNntQ4LO2ts7kQgR31XPM7+p4XZLeOoeaUGHAk7Fgel1jPqySvbtqlCePfteJXghBNCm4taCzndCoDDicbbIKStnjabg642JjV6PUE6M4M8yFi/1HcoUcB27O69xeMij1O7zSax5JbxdCYNmSt8d1bi/q1JU6fGogP+IilYVv3NBZCmucbrZ5sS8/EDWZgb+8pjG/odHb4PBDZx3cLvW5pJTYto3jOIRjGt+65WU9uscNOmsWlL3n1n90QfDOqMbGjiBYJPnh8zZn2wvzpQouQ8LGNsyuwuyaAjrRQ9O9YBFUl0JLDexGFujrbtrvzAR8D6/sAuUNlMwoCX8sqR47CdiOQ2QXJpdUd+lwhfxQVaIelaVQU6rW7277gOPK0Cy66iW9TWp/TmZgfkMwuyaYWRVMLB9whNprJR21kpYauacGKtwNWl2cJJNOc7qyhOfay9lOlzO9ZjAyr3FrRqfIcwCCGivkAwWuDs25uL1oUOSRdNVZ9NRbVAbliTs+pg1/+FYRVUGHngaTlsp7x5s4DrRXW0yuuZjbdFERsOmrN2mpsPLWu9grudiaob8hy9iqi6l1N/NhFw2lJqfqs/udllwFvJLLbWkiiSy3lz0MLXmZ3nTTX585QmtXXjwWNUGL26seJjfcbMZ0zjWl93lCQkBzuUXA6zCy7GFiu5qBuhI6O5399HIjPEzK3cPwkoum4k1qKwMYhkFbpc3wssFsWKe3RnHqKgOS+bBGLC0J+gQ+tySZhcq9z2zvAR8pHRXIe4yM/WA7frQ7Pn9TgY+4j6vkU2E5mclknsj7bmxsEI1GcblcbGxscObMmUcuVT9pvffee/teN4crp5Dq6uqisrLymFc/mhoeHqa5ufm+PkqOIxmZXGXbLMHWivG6JC0VkpqSwkoty1by9JkNZULYUKZ4PHfna7333nucO3+J8XU30xsabgMGGmway/LvRqVUOVq35tWVsMo1T0jfor//1JE7sMOjrc4am0tt+dLxzUiCbw8ZxKwAA002z3Tk83k2d+Hr1wwSGfhEv01vY/6hsxqBr76vk8zAp047DLSoUYzjOPthk7YjuToheGvUwG1IXu3P0lVnoeua4hMcemMpYXJF8N1Bjc0dQUVQ8nyfw6nmk4V2JtMwsQTjizC9qv4PUFoMDZVQW64edWXgPwQEr169yqVLl+7/Bo+wshZsx1THaSOquk+5n7mOkSYUEKqtgLpy9agtpyD4u379OmfPnj32ohSJweyaYHpVqd6ylkDX1Eiso049ygpMAQ4b9W1vb+NyuQiVVBBzqpnb9DGzpmHaYh8E9TScrBNk2TC/qXNnSWduQ8eRgvKAQ61/k7aqNC2N9z72sxYMz7sYWzGIpzV8bkl3nUlfg0XAd/xp3rRhet1gdNnNbkqjyO3QW2/SVWvmGYDmKmPCxLoaf5m2oKHUpL/hgIR8uKSE9V2dkWUPsbSOx4nwQp8nr1sEsLqjM7Skzr/9dRnqS48qbtOmYHDJQywt6KvNUldy0EpMZiRDy24cx8G1cwtdmJSVlaH5a1lLFNNarlzcHQl3VgRFbmitlGzsOoRj0FUDs5smAa8gm8lgYBIq9lLkv3fg58bGBslkkpaWlns+72msl156iWvXrj1JOsdj63p8JIBPNnsoDO5DrI2NDcbGxqioqKCnp+eJtiyvXr3KmTNnjkjSl5eXWVhY4PTp0x9KmNzt27epr6+npKSk4N8dCWvbDhMrWRyt6L6Ax3aUedj0hkbWElSHHLprnIKdGynh+1enSXq7SZsaLRU2p+rzs69A3b1fnXGxtqNRGbDwxG9QXx2iubn5yN3x/JbGOxNqAc91WrRU5p9s13cE37qlkzElr/ZLOmrynzO5Kvj2oOLzfO6inRdUCjA0K3h9SMPvhR+7bFNTqro8h0HPTlLwl+/rLG4JOuscfvicRZFHPefwyFUIwWpE5ztDBoubgrKA5NXTDr2N9+eTmBbcWYBbUzC5rLar3wud9dBWB621Cvjcq54E8DmuHEd1htYiB2O55S3VPQK139WUQVMVNO49Sovhxo17A5/DZdmKHzS1IphaFYR31UauCEq66iWd9Q715YVNFdPp9J6LdJh0Oo0/UEJK1LGyE2JmTce0BX6vpLvepqfhZJygdBYmVg3uLOmsR3UEkuYqh94Gi9Yq+568HEfCUljnzpLB/KYaoTZV2PQ1WDRW5Eev5EpKWIrojC67WI0aGLqku8akr97E7y18bs5aMLHmZnwPADWWmfTX54/Acus1u2kwsmjgCIP2SpO+ukzeZ0llBTcXvWwndepLTPrveo7lwNCSh0hC3yNGHxw3iYxgaNmtOs9VcaLbEcKRCHGjFeHy0eBdp6K8lK2kh80Y9NVK0pZKbW+qEKxtZ/G5wLayuIRJdWXpfbttq6urWJZ1xKzvo1Ivvvgit27depJTl4+Bz4cNfOLxODdv3sTj8XD58uUP9b0L1fXr1+nr68Pn8x3JAuvv7//QEPmdO3eorq4u6Eq9tgPT65CxNNyaSXuNvufbk78cR8JyRDC5ru25Mzt01RxPct5JCoYWdbbiGkGvzdlmh/IC/jZSwtS6xtCCgQR6qhNEl96n+65umGmpgNGpdZ3yYoeXe0wCvvxljS5pvDuhU+R2aPaO8sKl7rznvDehcW1Kydk/dyGfz2M78J1BjcE5jZYqh89fdPB58kHPxLLG168pV9hPn3MYaM6/ADqOw07c5vVbOrcXdPweyfO9Juc6lPfIccBcSphbg5tTcHtO3ZGH/HCmHfqaoa6i8Pd0XD1NwKdQ5Zynl7dgcUM9lrbU9w57jtDuMOd7S2mt06g8ZvR6XG3HlQfS+JJgYUPgyFwHR9LdqPhBhcBHLhwyHA6zvb2NpntIa42sxstY2HJhO4JQkaSnwaa30aHyBI7bQ2PLrCcqWdgOksgoTlxPvUVfYz7/7O6KpwV3lg3GlgySWY1ir8OpBovuerOgN1auwnGN20suZjcMENBWadHfaOaNtHKVtWB8zc34qjLlbKmw6G/IHImgAMWHuX5rBE/VZWY2XfjdkvPNaSoCdwlMJExtuJjccFPscbjQnD6yLNuB4WUPW3Gd7uosjWUHnaFwQuPOqpv6EovWCvX7eAZGVw2K2CYbmcQRLlwVZyjxJKktdTO9ATUhQTiexWNIsLMUewSlJfcn/i4vLwN8qB41j6KklLz88svcvHnzY+DzpOrDBj65eIy2tjY2NjY4ffr0h/bex9WtW7fo7OzEMAwGB486Hn9YNT4+Tnl5+X4I4eEanU+wviNpq9ZoqioqeCGREtZ2BJNrGvHM3km+tjCIAcX5GVvRmdnUcOvgt2d5pq8Cny+/JbSzl7gejmvUhByaA6usLExw5syZI92wzV3BW+MuYmkYaLQ505Q/tjJtePOOztSaTlOFw3MdcaYnRo+kB2dN+NYtndkNjb5Gh1dP2dzdPEik1WhrOSy43OXwYp8yUcxxeaSU2I7gu8M6N6Y0akslP/6sTUmBjovjwLVJ+M4t1YF4rlfyfK+DrtlHeFe5cZimaWQt1dl5d1SNhNwGnGqFcx2Kq/OwRNsc8DEtSWQXdhJyP4Yis+fEnMlKMqZa75yyK7earr1oC59HUOSBIi97PwU+jyI1e1yPdr+2HcVhWtiA+XWYWMiSttTV3e9Vna72OuioUyTqk1Y6qwjl40tqLJYxBS5DcYK6GySd9fJYQnGuGxSJRIglsiRFAxvJKlaiHqQUVAQd+hodehttgsdMVGZmZggEApRXVLKwqXFnSVk1OI6gKmTT12DTXW/dk9RsO2qMdnvRxcq2jq5JOmosTjVaVAaP5/TF04LRZRcTqy4sR9BYZnG6KXvsazIm3Fn1MLnmQgId1SZ9dQeydtM0GRkZ4dy5c2zFdW7Me0lkNNoqs5wq0P3ZiuvcWPAiJZxtTFMdPABIjoThJTebcYNTdRlqQwd/m9owWNvVGajPEtob801t6ERTgnONFtKxGFvTkGaS1NYYgbrzeNjF0X24NRtNmpQFPRQVOA/dXQsLC7hcrqfO5+1+JaXkpZdeYnBw8Emuxg828DFN85Glk9+rHMdhYmKCZDLJwMAApmkyPj7OuXPnHvt736+GhoYoLy9nbm5u3/H4w67JyUlCodC++yYciusIhzlz+gweT/6toprjK8ATSytVV1eNQ02ocFvfdmB6Q2NiTce0oa3SobfO5vbwTXp6eo5Ypls2jC7rjK/qGDqcbTKxdibZ2Yly5syZ/YgT24HhBaXsKvLAi90m1QXuqKMJ5c8TiQsuttmca3XIZjMMDw/v59NEE/CX1wy2E/BSn8Pp5kLxFPDn7ymp+mfOO/Q05EiRct8NfDel8efv6qxtCy51Obw6kE+GBljfhq++qxLfW2skn7sEFUcNpvfHYVJKonGHq+Ma1yc0UllBbZnkuVOC/hYl9X6QklKyk4D1iGQzCptRyfTCDhknyE78+BOEoe+pu7SjeV0A9p6aK509/n29bgjtSYpDfvXv8qCgIiSoLAG/74OdE99//yptXReZWxfMrsHMqiJVg1KOtddBR736eVIllG3D3LpgbEkwsaxUWLqmOkA9jZKuBnlsJ+VwN2h9K04kU81muppwQu3rjRUOfU02XXXOETuC6elpQqHQkfNBKgsTywa3lwy2djUMTcnrTzVa1Jbe2wYhEhfcXnQxsWJgOYKaEpuBJkWGPm7SnzFhbMXF6LKbjCWoLbE43WhSU1LYhDOZEYwsKxWYoUN/Q4bOahMzm2FsbIwzZ5RlhWXD6IqH6U03fo/DxZbUvh/PwWcVXF/wspPSOFWbpaXCPPg+HLi16CGa1DjdkKVyr3NkO3Bz0Y2UgnNNGQxtD8StGbSUW1QFJPNhFaHTU2MzvgqGjCMMDzpZXMLGq9uUlpbcd1Q6NzdHUVHRkXPmR6Ecx+Hll1/+GPg8yfowgE8mk2FwcJCKigpaW1sRQpDJHL3gPcm6cuUKpmly/vz5YxNyH3dNT0/j9/upqakBVGt6ZGQEt9tNd3d33qhFStjYVSOt3ZSgyK1Iy3UFHJdzz1+MaIyu6KSyguqgQ3+DvS9BzXW9/H6/ciLe1rgxZ5DMCporbPrr00yNj+D1eo9EnETigrcnDLYTGm1VNpfbrYLcoKk1FT1haPDJfouGPe+dnGru0qVLzG8IvnFTRxPwmfNKnXN3jS8L/uq6hs8NP/GskqrfPdqa29D46nsajoQfuezQWVd4dPfeHXj9lgICn7kIp5qPH8sk05Lv3JS8N6pS3nuaJM/02DTt+dnoup5HkM5/T8nGNkwtS6aWJQtrkt3kwd89LihyJWipL6aiRFARUuCkaC+z60DOfv9zlu1I0hnFyUqmFQE1kcqpuiTROOwmJDtx9bvDW8jvheoyqC4V1FcK6isENeVgnOB9QXWtLl68eMhgU3XFplZgekWp27KWAm7N1dDVoB6VJScbizkOLIdhbFF5Ke0mBZomaa2W9DaqbpDvHoKgnCJpcS3GQiTIZrqWRNajujG1DqeaVJDq7MzUEYXZ4ZISNnY0bi/qjK8YmJag1O9wqsmir8G6p59TxoTxFYORRRexlBqD9Tea9Nyje2TaML7q4vaSi1RWoypoc7Y5S+0xAGgnpXFz3sPajkFpkc3p+l02l0bzOuxbMZ3r815SWUFvbZaumuyR5Skg42V916C7OkNH1QH4sWy4seAhntG41JLe9xjaTQmGlj37Iy8pYWTFQBOSU3U2mzFYiWr01TlMrzkU+yTprIULE7fIEt8NE41Gcbvd+9u/qKgorwM/MzNDMBh8IjeqH6SSySQ/8RM/wbvvvvskV+Nj4PM4gc/29jajo6N5UnXLsrh+/fp+/siTKMdxGB0dZXt7m56enseu3LpXzc3N4Xa7qaurI5VKcevWLRobG/PyW6RULsrTG6rD43NLOqsd6koLq1dyHaHRZZ2dlEbI5zDQYFN5F0dhaGiItrY2pB7g5rzOalQn5HM432oRcCXz1sdxVK7X4IKO14BnOy0ay/P3I8uGdyd07iwrrs4n+49K403T5MaNmxgVz/LOmEZFED5/wcobP0gJ744L3rmjU1cm+fFnFOfnMOgBwfsTGm8Ma5QH4QvP2wXVQbsJ+PN3lbKou0Hyo8+Sxx/aXz9L8u6o5Ls31XjpQpfgE2cFZcGcy6yzL5M/fLxrmrYn1ReMLUhGZiTTywdAp6QYWmsFTdWC2nJBZanix1y7du1D5/hYtmQ7Bls7qvO0sS1Zi0jWIwedI01TROb6CkFDlaC5RlBTBnqBne5+PCXLVmOxySWlfFvfVr8vKYbuRuhpgtaak5ksSqlCYO8sKBC0k1AgqK1G0tekQNC9ukpKKbbD9FKCyTUfG8lKTMeFz+1QG4hwphXaGwP3BGRZCyZXdW4vGKxF1Tirs9ZmoMmi5h5dIEeqMdjIghqDGbriEJ1uMo9Vg1kOTK0ZDC24SWY1qoM251oy1JQUVnUtRgxuzHtIm4IyY51Xz/jzbkyyFgwuelnadlFebHGxJX0k+sKRMLjkYSXqoqMqS1fVATjKWPD+rBdNwDOt6f3vbGLdxVZc42JzBrcBazsaC9s6p+tNTBtmNjXaKh2Wwg5+jyRrWbjJUBZwUbwnc8xZGUQiEVKpFKFQiLKyMkpLSzEMg8nJScrLywsC06e5NjY2+Mf/+B8XNB/8EOsHG/hYlvWB0smPKykl8/PzrK+vc/r06bzUWSkl7777Ls8///wjf++TVM4wsaamhnQ6rYL6niDwWVhYQAhBUVERY2NjnDp16ojCy3FgZQ/wJDJqpNVedTzgAcW5GV3RiSQ0/G5JT11heTrAraFRMt5uFrZ9aBqcqrfpqrHZ2VHAta+vj9LSUuBol6elUnV57pbH5573+rDyAzrTbHOpPb+ln0xb/NmbcSLZSjprHT512s7zizEt+MYNjfFlxfn54XMOhn4U9FiO4BvXdEYXNXoaHD53ySnceVqBP31bXXw/c0Fxco67MN2Zl/zFOw7bcehqhM9e1qgpu7eTrOM4pNI2o/OSkRmYWGRPXQSdjYKOevUoCxb20XqayM2OVDyjlS3J8qZkaROWN+W+qsttQGO1oLkammsErbUCn0c88GeIxhUIGl9SHSHTUp2tzgYFgrobuGcHJ1dSKluD0QWN0QXVCdI1JY8/1awI0vfzIkok09yeSTO27GYjEUKiUerPcrpF0t/CffPWNncFI/MGY3tdoPKAw0Cz8ga6l+/TVkxjaN5gek2JB9qqbM60mMdyeiwHJlddDC2qDlBjmcXFtgyhovzLimnB9VmNuUgRPpfkYmua+tKj5/wcSBpc9KIJybPtKcoPpbRLqUjNi9su2iqy9BzqDEWTGtfmPdSGbE7VKaSsxmRu6kps2ios0iYMLbtoKrMpLXIYW9VoKHXY2HHwuhwcxyLgtqko8RXsmjqOw+7u7gF5fc/3rL6+npqamqfK8PZ+NTMzw7/+1/+ar3zlK09yNT4GPo8a+FiWxe3btzEMg97e3mPb/++8884TAT45w8Te3l7KysryxkxPohYXF9na2iKbzR7xNDJtWAwL5raUSivolbRXH8/hAdiKCcZWdTZjGj6XpLvWprkiP0EdFKCa3tAYnBfYUqetyqG/QRkILi0tsbS0xJkzZ/D5fNgODC3ojCypLs8zHRZNFYXvNO8sK9WW24BX+iyaCoyttuPwl9d1tuOCF3qcgnlbsZTi86xH4eVTDpc61ec+TGKOpwV/+o7B2rbglX6bZ3sKqbbge0Pw5ojyo/nplxXfpFDtJiR/8a7DyKwy7vuR5zQ66u99npBSMrsieXPI5vasg2UrY8L+NjjVAs3VEiHkPjn6uGPiaQI+hUpK1R2aX5PMr0vm1yQrW6orIFA+P359g+fO1dBWJ/B7H+z8aloK/IwtwNiiiuvQhOID9TVDbzMnCi2VUo3DRuc1RhcF8ZTAbSguUH+zpLXm/n5MQyOThDPVTG8Us53yIXCoK0lyplXS0+S658gxa8HEis7wvIvNXQ2XIemttzjdbFEWOP7UH08LhhcM7iy5MG1BXZnN+dYsdcd0jhQPz8XwolJ19dWZnG7O5vkA7e7uMrkQZcPpYSel01Jhcq45nfe8eFrwznQRqazgYkv6iJ+PlHB7xc18xE17pQI/uZracDEXdnG6PkPVHhF6fN1FOK5xqSWDS4fhZQOXLumuthlaElQFJNGEg0u3EVhUhwyKfScjfWWzWYaHh9F1nUwmQyAQ2B+LHbYleRpreHiY3/md3+EP//APn+RqfAx8HiXwSSQSDA0N0dTUdF+Z4YcNfKSULCwssLa2dgRczM7O4vF4qKur+9DW5XA5jsPVq1dxHIdnnnkGTdNIZWFuS2MxLLAcJUtvrZRUBo7n8GzEBOOrOuG4hseQe+7MhUm9yjtEY2hRJ57W8OsxBhoyNNcG9jPTMpkMAwMD6LrO+o7gvUmDnZRGe5XNxbbCfIRUFt68YzC3qdFQ7vBqX36qOsD0mvLn0QQ0eob4zCt9ec9Z21agJ2PB5y86dNTmk5g3djS+/JZOxoQffcahqz7/sEqk4X+9pUZb59oln71U2IXYkZL370i+8b7EduBT5wUvDoh7cltsWzI47fDGTZvFDUmRFy5065zp0GipFWjiYCR2mCSdq9xILAeE7gV8sqYknpKkMpDKSGxbAY5cbpcQ4NJV3IBhHCi8XIZSeJ2EG/QwlTUlixuS6RWYWZHMrdjYewnuteXQ1SjobFAdIfcDKMocCcubMDqvrAIiMXW2bq5RfKxTrRyryDqyHAcWNgUj84KxBUHaVBL5viZJf4vyCSp0TI2NjVFXV0cwGGRzRzA4IxldNMhYOm4tQ1NplNOtDs11wWNtL6SEtajq5kyuKkVYQ7nN2VaLlqrjvX0yJowtGwzNu0hmNWpLbC62Z6krK9wBSmUFN+bcTK4ZeF2Scy1ZOmus/eXv7OywtrZGR2c3oytuRlfceAzJpQLdn4wleG/aRyShMdBwlNdzuPNzrjFNXYk6Dh0JV+c8pE2N59pSuA1IZgU3Ftw0lVk0ldnMhTXCcY3zTRYjy4KSIkk85aALC5dm0lxVhPYAcsiRkRHa2trw+XzEYrH9sZjjOJSVlVFeXk4gEHjqYi2uXLnCl770JX73d3/3Sa7Gx8DnUQGf9fV1pqen6e/vv68DMXy4wMe2bW7fvo2mafT19R05GHJjpidhhJUbuRUVFeHz+ejo6GBmUzC+snfhKJG0VjqEjjnB52Ts46s620nV4emssWmpKAx4ADZjgltzBpGERtDncLrRZnd9lKqqSoLBIIODg5SWltLW1kbGElyfVTLeYo/kmQ6L+mNOvnObgjfvqAT3yx02A035d6m2A+/u5W1VhRw+c97i9q38kefYkuAb1zWKvPCTz9pU7imtcnwaIQQTKxp/cUWjyAM/9ULhzKy1CPzxG6pz8CPPwNn2wttkNyH58hsOk8tKcfQTL2qUB48/N1i25Mqow+vXLKJxqCwRvHJW52KPdt+Le44PdLd5YtaCN94eo7S6l8iuJBqX7Bx6pD6gybrXDUG/IFQsKAkISooF5SFBZYmgslQj6H80MTbvXblGddMFZpYlk0uSuTUFJHVN8Zq6GgXdTYLa8pO/n5SKC3R7TgGh9W115m6qhoFW1VULnAAEWTbMrCoQNLGsOFglxaoLNNDiHOkC3rlzh4aGhiNhkrYDM2saQ3Mas2saEkGJJ0pDcJOeRkFlRSl+v7/g50pm4PaiwfC8cngOFjmcbVG+QMeNwSwbxlYMbs4oAFRfZnO5I0tVqPAxGI5pXJn2sLGrUxGwebYjQ0XAYXt7m62tLTo7OwHYTmhcmfESTep01WQ525g5Moa2Hbg662V1R/F6+usz+8ey48B7sz52UhovtKcI+tS6xNOCK7NeGkotumsUWBpaUp2o801Z1nc15iM6Z+pNxtYEJT5JMuOga2rMVVt+glbeoRoaGqKrqyvP8d80Tba3t4lEIuzu7uLz+fa5QE8qHeBwvf7667zxxhv8+3//75/kavxgAx/btvfvnh+2ciGe8Xic06dP78uc71cfFvBJpVIMDg5SX19fENwsLS1hWdaHbn0ejUa5ffs2vb29WJbFzs4OnZ2dROKwvqvRUuEcK9GVUnF+xlcVabnIrTo8zeX5QaK52kkKhhd1lrd1fC5Jf6NyVNYETExM4PP5WFxcpL29naqqaqbWNW7MGmRtxfk53VTYuTZrKQLz+IoyLfxEv01ZAf+geFrlba1uaww027zU66DrR/cDKeHtOxrvjWvUl0t+7BkbvyefxHx1UuO7Qxp1ZfCFF+yCjtS35+HP31H8kC++omIWCtXwjOTP3nKwLPj8s4LLveLYC7IjJTcnHL7xnkV4F1pqBZ88r9PXqu13d05SjpSshx3mVh1mV2zmVmxWww5SqmVoAgJ+peoqCSiwEioWBIoEXrfy5DGMXFipUOM/RwU9mpYaGVl7/86aqkOUSEl2ExCNS6IxyU5C7vv/gOLsVJQIqkoFNeUadZUatRVK5v4gd+J3d62ypmRmVTK5qIDQalj9PuSH7iZBT7PqCHndJ3+PjSiMzCoglANBzTVwem+0eBxZ/XBlTBhbFIzMCWbXBSCoL5ecblXRJDNTozQ1NR2bqRRLwe15naF5nZ2EwG3Y1BVvUelZpKbcRXl5+T4R93A5Dkyv69yaNVjd1vG4JKebLc60mMdyiCwbRpcMbs66SZuCtiqLSx1ZSvyFFYuzmwbvT7vJmILuOpOW4BqJ2Dbt7QfI33ZgcMHDxLqbyoDFC53pfd+f3HIGFz3Mbrlpq8xyuuEA/KRNwVtTPjQBL3Yk94Hb6IqbtV2dFzpSeAxY2taZC7u41JwmaQomNwx6ayxmNgUBj0PGtDE0k9oSjeJ7OTsWqJs3b9Lf33/P642UkmQyue/pZJompaWllJWVUVJS8kS6QV/96lcZGxvj3/7bf/uhv/eh+hj4fBDgk8lkGBoaoqysjLa2tge6Y3znnXd47rnnHisxLRwOFyQLH67V1VVSqRRtbW2PbT3urqWlJRYXFzl79iw+n4+trS3C4TDd3d33fJ0jYXlbY3xVI5bWKPYoDk9DWWEOD0AiAyNLBvObGroOPbU23bVHQczg4CDRaJTz58+TkkGuTivDwqqgwzMdFqUFTrAAC1uqy5PMwNkWh/NthQMaZ9fVaMt24JMD9pGRVA74ZE34q+sak6sa/U0Onz6bT2J2pOCvb+oMzioS8+cvO7juAmNSwhvD8MaQoLFS8tMvF+aFmJbka+9K3h+TNFTCT7+qUVly/L44vuDw1bcsVsOSugrB557T6W3WTrz/xlOSO7MWo7M2d2Yt4nvhoD4PVJeYhLw7nO+vpqHaIOR3OHyKOGye+KjKcSTbMcnmtmQzKtmMOmxuSza2JeGo3H93twE15YL6So2mGvWoLRfHjs7ux1PaSUjGFyRj8woIpbOqG9ReL+hrUY/SwAOAoG0YnlWPrR0FBjvqVSeor+VkXkGxJIzMC4ZmVTaboUtqAlGe6XXR0+y9p6pLSjVKG5zVmVzRcKSgoSxDY2gdj7WIYej7o5e7u0Fr2xrXZwym15RXVn+Txfk2i+J7RFUMzbsYmndhOdBTZ3Gh3cTvyX9+xoKbc27GV1y4dYe20BLP9Oej/7ktg6szXtwuyUtdR/18pISRZQ9TG246qrIMNBy0HbeTGu/O+KgO2JxvSiOEGm+9M+2lucyis9rcG3d56Kg0CXhtbq+6aC23WIkKilw2lu3g0bO0Vnsf+Dpwv0y4QmXbNtFolHBYSeY9Hs9+N+jDsjL5oz/6I7a3t/kX/+JffCjvd0x9DHweFvjkOhYPG+J55coVLly48FhiIaSUzM3Nsbm5yZkzZ44kht9d6+vr7O7u7reBH2flIjFM06S/v3//oI1EIqyvr9Pb21vwdZYDC1saU+s6iawg4HXoqXWov4dcNpWFOys60+vqPTprbHrr7CMXgtx2WlhYoKG5i9VMIzMbOkVuyflWi9bKwstPZ+GdCeXAXOp3eKXPpqqAaaFtw9tjGoNzOhVByWvnLMruuoF+55136Dv9PH/2nk4kBq8MOFxozycxZy3Bn7+nM7eu8VyPw8v9+etm2cqQcHhOcKZN8iPPFJZFR3Yl//frDitb8MoZwQ9dFAWl2aA6JF9502JwyqE8BJ991uBs58k6PNG4w/U7FoMTFrOrDlIqENbXatDVrNNco7GzNYVpZunr68s7id9PLv+47lizpmQtLFnZctRjU7K84ZDcu+65dKiv0pSaq06jrV4nVKy2x4MQtG1bMrcGd+YdRueUnB4UN+hUq6C/TaPuhCMxKdVoc2hGPXYSaj17mlSESGcD9yU055Rhg7MaQ9MOpmNQWiw52+5wplXel1idSMPgrM7grE48LSjxO5xpyVBdtE5sJ0wymSQYDOZ1gyIxwbVpF+MrOkJAX4PFxXaLYAGVFqix2Y1ZN3eWDDQNzrWanG4yC+7rWzHlobWb9tBaafJcZyZvtBZJaLw14SNjCZ7vSB3h/UipMrpmNt3016fprD7g/Exvuhhb83ChKUXNnoPz8LKbrZjOS50pdA2uzXvwexw6q0xuLrqoC9mE42AIC11zKPFZ1JQ++Ajqbr+oh6mcZD6X9xYKhSgvL6ekpOSxxRX9l//yX3C5XPyzf/bPHsvyT1g/2MDHcRxM07z/Ew+VlJLFxUVWVlb2FT8PU9euXWNgYOCeoORhyrKsffO/kwSgnrTb8kErZ9ZXUVGRF4kRjUZZXl7m1KlTR16TsWB2U2N6Qye7Z5LWVW1Te4xRIUAyC3eWDWY2VD5Va5XDqfp8krHjONy+fRspDMJWA8vxMkBwqsGmv9HO66TAXmr5msZ7E4p0fK7F4Vxr4S5PJAbfumWwuSs402LzfI9T8MT89e+OMpMYAOBHLzs0Vx2QmHOgJ5bS+H/eUsDotQvqInR3JdLwJ2+o0MtPnpW8eOoY0uqC5E++q+5qf/pVjd7mwhvSdiRvD9n81Xs2tgOfvqjzyQv6fY38pJRMLTl8/6bJ4KSF40BDlcZAh86pNoOmGgWaciaVfr+f9vb2+57Ac+AnB4Ry9bhB0OHPFd6RzK85LKw5LKxLltYdsnv3TeUhQVu9hmYu8OkX26gsOX5keFxtbEtG5ySjcw5za2p/KwtC/x4Iaq7hRIDTkSpHbHBajcSSGSVF729VFgYNlfc3S7w1OILt6+b2gpeFTYEQKjj1fLukrfbegae2A5MrKmtuNaLhcUkGWmzOtVpg7RyRZZeXl+93g3ZTGtenDUaXDJDQ12hxqeP4lPedpOC9STdzGwbFXodnOrO0V+ebGq6srjG1GWQ2WonfI3m5N03VXVL5VFbw5oSP7YTGueYMXTVHSc1XZ70sRw2eaz8AOY6ENyd9OFLwcmcSXVPmiVfnvPtBpuPrLnaSytPn2oKLqmKbnRQYwsalmbRU6rgLnWzuU++///4jzXrMOXxHIhG2t7fR9eM7dR+kfuu3fovGxkZ+7ud+7pEs7yHrY+DzIMDnMEm4t7f3gdqMd9fNmzfp7u5+pC3GB1GV5SoSibC2tkZfX76y6FHV7u4uw8PDx3bHdnd3mZ+fZ2BAAYBYGqY3dBbCGrYjqAk5dFbblBcff8JNZBQRcmZDQwItFQ599VZB/ksmk+HmzUGc4m4WY5VkLEG1P87zfS4Cx9x8ReKCt8d0VqNqBPZSr015AWmulDA4p/HOmIbLgE+ftmmtLvy89ycEb45qlAcUiTmXpXWYxLy6LfjyW2pM9pPPObQUWFYkBv/3d2A3CT/xvFL95L+f5PtDkm++L6mtgL/3KW3fiPDu2tqR/OG3TObWJD1Ngi+86qIidO9zRSYruXLb4s1bJqtbDkVeeLbfxQtnXFSXHQUluRFxXV3dQ4csHtcNyh2THwZ/wbYlS5uSmWWHmWWbmWVnf4RXUizoatL2HgcdoZNWPCUZnZUMz6iRmO0oAnN/m+BMu1KJnYR7ZNkwtaxA0NiCsoioCMLZDjjToRLlC9Vh8mx4F25OawzNCpIZQYlfcq7jZF2glYjg+pTO+LL6PrrrHS532lSXSjKZzH7HIZFI7HeDXL5ybs15ub2oug6nmlQH6DgAtBLReGfCTTimU1Ni82JP5sixubKyguM4uINNvHHHSzIjuNCW5VS9eeR8Ytnw7rSX5W0XPbVZzjQe8HpsB74/XkQ8o/FqT2LfqXkrrnNl1rfv7CwlvDfjxWVILjZnWIjoLERcXG5Nc2vRRYXfJpYGl7Ao9dvUlj5g1stePWrgc3flvptIJEI8Hle5bXtjsZPyWAvVr/7qr3LhwgV+6qd+6hGu7QPXx8DnpMAnByoKOQo/TA0NDdHa2npENfFBanNzk4mJCfr7+wmFQid+3c7ODouLi/T39z+S9bi7VldXmZ2dzQv1PFzxeJypqWlq284yva6zvquhCUlDmUNntbMfLVGooknB2IrOwpYGAlorHfrqrGMJntHoDu+NbBE3ukiaBjUhhzrfEiFvtiD5O2vBzVmdoQUVaHq506anrvAILJaCbw/qLIVVYvonB/JT1UERS7+xx+cp92zw9364DLeRHz8xvqzxtSsafh/87RdtKgqIBZc24Y++pw6ov/sqNBaYupqW5M/ektyclJxuE/ytVwRuI/8DSKnUWn/+poWuwRdeMTjfdW8eT9aUvHnL5Nvvm8SSksZqjZfPubjQYxRUeMXjcYaHh+nu7r6v66yUSsIe2XEIRx12Eg6ptCSVUY9MVnWmbFsRlW1HYjsS6Sgpe3GRht8nKC7SKPaJvX8LyoIaocDx472HLSklr39/CF/pKSYWHCYX7H3Dw+oyQW+LRm+rTke9hlFg+x9X6azkzrxkeFoytqBI28W+AxDUVncyEJTOKkL0zSmYW1O/a62Bc53k5a0NDg7S09NzpCNt2TC+JLgxJZjf0NA0SU+D5EKnQ9N9uki7SbgxrcZgWUvQVOlwqdOmtVodS4VM+nyBahZiDUyuKZ7RmRbF6SnEA3YkTKwYXJl0k7XgbKvJ+VYTXTuaZJ6x4J0JL/NbBi2VJi90ZY50dx0JN+YUr+dUfYaBhgO/nmRW8N2xIjyG5NXu5H4H99q8l624zie7E7gN5eszHzZ4pSvFVlxnatPF6YY0Y2suSn0WyawCPm3VAq/r4QD64wY+h0tKSSwW2ydJA5SWllJeXk4wGHygbtAv//Iv8/nPf57XXnvtca3uSeqxAZ/HMyB8xHXSL2xjY4PJyckHBhX3Kl3XH4mUXkrJ9PQ029vbXLp06YENrDRNe2zu1RMTEyQSCS5fvnzszNi0YSnqZcnuZ3bShceQ9NZZtFY4xxIzpVRGhXdWVLyEoSkZe1etUkEVKkfCrcldxtf9mFRR6nZ4tsukvtRhednEcWTe8ydWNK5Oq3yv7jqbyx12wZOulHBnSfDmqI6U8MkBi77Gwt2pzR2VrB5NwKsDNpn1MdzG83nKrffGNd4Y1qkvl3zh+cIAamxRefQEfPD3PlnYlDCRlvyPbznMr8OnLwg+ea7wCCaVkfzRty1GZhw6GwRf/LTrniTbrCl5e9DkW1cU4Olu1vnc827a6o8HSuFwmMnJSQYGBvLUQsm0w9yKzfKGzcqmzfKmzeqmXTBw1NDB51VKKE2oSAlNE3vBpep3OwnJ3KpNMi2xCuzeQqiuTGlIdb7KghrVZRrV5Ro15RrFRQ9+QRJCECrKcum0wQunlXptZVMysWAzNu/w1qDN927YuA3oaNToa9U51aZRFrz3e3ndgnOdgnOdarvfmZcMTUuuj0veuy0JFMHpdsHZDo2me4zDvG640KUe2zG4NQ03J+FP34SvvatGYec7VYZYDnzfvd1PNSsn6K1dhxtTGkMzgtEFg6qQAkADLbJgYG2wSO3vz/XYDM7qXJ/S+V/vuKgMOTzTZdPdACUlJfsijFzHwc4M4yux2TA7uTlTzsiCwYU2kzOtR2XwmoCeeouWKot3x93cmHEzt6HziVNZHMfZP/94DHi1N83Ikosbs26iCY1P9KX3XZ81ARdaMtiO4PayB69L7vN6itySy61p3pos4vaKhzONivTVXZ1hfdfPfMRFZ5VJud9mLuxiO6njNtRy06ballkLBBK3IfE+xIjrSZQQgmAwSDAYpLW1dV8yv7KywtjYGH6/f38sdj/qRiKROPYG+G9CfSQ6PlJKstnjo5yllExOThKLxRgYGHikrphjY2NUVlYeyfB60LIsi6GhIfx+P52dnQ/V3k8mk488Kd40TQYHBykpKbkvf2M3Ba+PunETZ6DFS33p8R48jgMLEY2JVRUF4TEU4OmosfNcWPdfI5XHzvVph5TlJeRzONti01R+0LVZXl7GNM19Sf9KRPDuhDJDrA45PNdVmLwMSqb+nSGd+U2NujKHT5+2CRU4rqWE4XnBdwY1PC74kcs2jRUH6r4cn8d2BN+4oXN7XqO3UcVPFDo/Xh2Hv7oGdWXwdz9RWMIc2ZX8t79y2EnA335FcLq98IZd2XL4va+bbMfgR57XefmsfuzFU0rJ4KTN//puhu1dSVeTzudecNPRcO+T+PLyMisrK5w+fRqPx0M86TCxYDExbzG5YLG4Zu+fFAJFgrpKnbpKnaoyjbKQRnlIoySgUeQVuB6gW2LbNsm0TTxhE0tKYkklZ4/GIBpTyq7IrmR71zkCkPw+QXWZRm2FRmO1TnOtRkO1ft/3vhe5OWNKphYd7szZ3Jl12NpRn7i+UtDfptPfrtNQLU5sDZADQbemlErMslXm15kOwbmukxGjpYT5dbgxqfhAWUsB6Br/Mp95oZrS4L3vYU1LKcKuT2qsbQslT2+VXOpyCmbF5cp24M6ixpUJnUhMo8SvAFBfUz4XznEcYrEYcytxhpdLiWQq8BgWF1uTnOvQC3a75jZ13hxV8veO8g16axPU1FQfec7Kts4bd7w4Ej7Rl6buEKnZkfDWhI+VqM4LHWkayw9EMIOLHmY2XXyiJ0lJkeIKvTvjI2MKXulK4kj47riP1gqLcr/NyIqblvIsKzsaHt1BFzbVQYfK4MMBHyklV69e/dA6Pvdbl0QisT+ytCxrvxsUCoXyrkn/6B/9I37pl36Js2fPnmj5tm1z8eJF6uvr+drXvsbs7Cxf/OIXCYfDXLhwgf/xP/4HbrebTCbDz/7sz3L9+nXKy8v5kz/5k3tZtPxgj7ruBXyy2SxDQ0OEQiE6Ojoeuex8cnKSUChEVVXVQ70+Ho/vj8tqa2sfej0edVJ8br3a29uprq6+/wuA8K7JzPitYy8Ylg0zGzrjqzrJPVVXV41NS2VhwjAcxFEM77kze/U0lzo0WirzOzGrq6tK1VDZxvtTamxW7JU802HTVl14rCUljC4K3rqj40h4vtvhdEvh52ZN+PagxuiiRnOlw+cuOvtA5Z133uHy5cvKcyMj+LN3DZbDgpdO2Tzfm7+uUsJ3bsFbtwVd9ZKfeqmwE/PipuS/f9PBduBnf1ijpabw/nt93OZL37HweeDnPuuitfZ48Lwecfjy6xnuzNnUVWj81KfcdDXd+8KY60gmEgmaWvq4OmpzYyzLzLKNlGrd2xoMupoMOpsMGqp0Av7Hw885jiCtjm3BdkywHrFZCzushx3Wwg4rmw6JlDpd6dqemqtWp71Bp73BoOIuEvODqLrWIw63Z2xGph1mVpTqLeSHgQ6d0506HQ3aicdx6azk9qzk1qRkYkmN/qpL4VyXxrlOcSyf63BlTDUKuzGpRmGakHQ1Ci50qQT5e6nCcjEZ1yZUTIbjQGed5FK3So4/7vQppSJCvzeusx7dO+66LU63HH9sL27YvDlqsJXwUWzs0F+9TEtdEWVlZUc6yxkTvn/Hw8y6QWVxitfOSfx3SeXjacHrt73sJDU+eSpNQ9kB+LFs+N5YEZGExqs9qf04iqwFfz3qJ+B1eKkzhRCwuG0wtOTlubYkZX6Hd6e9+NwObRUmQ8se6kpMIglwaRKXsOiuA/0heWiO43Djxo1Hds5+lGXb9r6BYjQaxev14vf7yWaz9Pb28jM/8zP8h//wH454Kt2rfvM3f5Nr166xu7vL1772NX76p3+aL3zhC3zxi1/kn/yTf8KZM2f4hV/4Bf7Tf/pPDA0N8Z//83/mj//4j/mzP/sz/uRP/uS4xf5gAx9QF/67a2dnh5GRkYeWqp+kZmdn8Xq9DwVaci7RAwMDH5gjZJomN2/efCR3Dw+7XrZtc/XqVZ599tkjv09lYWpdZ2pd8QIqAw49dTa1JfdIfXaUEmxowSCWFniI0V2d5ExnybGvmVva4Payn5VYCS4DzrbY9Dcef+KNxOC7IzorkXt3eUClZ//lNZ3dBDzX6/Bs90Gwqm3bDA8Pk81m0Xx1vD1dT9oU/Mhlh56GwvL4r74HQ7OC8x2Sz1+moGHjxKLkf37bodgL/+Czhf15HCn5+js237lh01Yn+NnPuAj6j1d4fes9k2++l8XQ4fMvunn5nOu+F2Xbthkavs3KdpDZjXJGpixsB5pqdE53uuhrc9FSd/8uyuOqwzEaOSAkpUTX9X2lmJSS7V3J/KrN3KrN/N4j5yQdKhZ0NOp0NBh0NumszN/g8uUHzxtTZGab4SmbO3MOpgVFXhhoVyCop+nkvKBESjI4Lbk16TC7qn7XXAMXujTOdAiKTpAh9r23h8m4+7k5JYin1Dj1fBdc7ILS+xzasRTcmNK4MSlIZASVIcnlbjUGO+6YkhLmNgTvjhksh+8PgKSEsWWdN++4yWShtWyLSmMcl87+2EWNUwVvDW4zHq7DpQte6cvQUnV09pk24VvDvv2xV2P5wd8zFnz7th/Ths+eTux3lmc3Xdxa9HK5NUV9qYVlw7fH/NSFLE43ZBhZdrOd1DjbmGFwyUNFsUkqK9GEpNRr0lT58GwQ0zQZHh7m/PnzD72MD6uSySQjIyP8m3/zb1hbW6O4uJh//s//OV/4whfuO/JaWlri537u5/jlX/5lfvM3f5O/+Iu/oLKykrW1NQzD4N133+VXfuVX+OY3v8lrr73Gr/zKr/Dcc89hWRY1NTVsbm4e17D4GPgcBj5SyiPhlI/T1Gl+fh5d1x+IKH149PYgLtH3KsdxuHLlCs8999xDLyN3Vx+NRjlz5swDr9fdafXRhGB8TXVeHAn1pQ7ddTaV9wg4tGyYWte4vWSQyAiCXpOizCiX+2spKSnMy8paMLygMTin1GN9jQ4XWm28x0w0LRuuTWlcn1aKrRd7bXobCt/NOg5cmRC8M6YR8MHnLtg0VBx83sMk5lvTNt++5calm5wqH6Wp2k1FRQWlpaX7reJ0Fr70fZW5dS+5+q0phy+/IakqUaAnUJT/pKwl+aO/Vt48z/VrfOFl41hDvo1thz/4yzTzqw4Xeg3+1qtugsX3v1Pd2s7wJ19fZnIlRCKtESoWPDvg5oUzHmornz5uQ6FukJSFg1UdKVnddJhatJlasphetInsqn3T67Loa/fS02LQ3aJTVXpyk8dcZU3JnTmHoSmb2zMKZHndqhN0rkunu1m7r61ArrZjitR+Y8JhPaK6Nr3NgvPdgt7m47PYcj4xjhRMLMK1CZhYAqQySLzUA92N9+4CWTbcnhe8P66xHhX4PZILXQ4XO+WxLs05Q8S37ygAFCqSvNxv0V1f+GYnlYV3xtzcXjQI+hxe6Uvilev7aqRgMIhpmvhLGrm1UstWTOdsS5ZLHeYR09PMHvjZLgB+thMa37pdRFOZxXMd6f31fP2Ouj58qjeJEHBz0cNmzOCHehPMbLqYDbu42JxmZMVNwGMqUC0cumocPA9JagZ1zRobG+PMmTMPvYwnUalUis9+9rO88sorvPXWWwSDQT7zmc/w2muv0d/fn3ec/NRP/RT/8l/+S2KxGL/xG7/B7//+7/Pss88yNTUFqHDrz372s4yMjNDf3883vvGN/etpe3s7V65coaKiotCq/GCTm0G1uXMnvNHRUQAuX778gaTqJyld1x/IPNE0TYaGhggGg5w/f/6Rjd5yn/9hy7IshoeHKSoq4sKFCw+1XkIIJIKliMbkms7GroauSdqqHLpqrWMl5rCXBL2qM7qskzZVV6gttEpme4qzF88UzKdRFvgat+bUa+pCKep9C5zrbi34HlKqYNG37+jspgTd9Q4v9trHnrwjMRVPsRIR9DYoF+YcUftuJ+bvDelcm3TRVOnwE8/peIw+tre391V6RUVF+ALVfPt2NeFdwU88LzlzjMn2O7cdvvaOpKVWjbcKxSDEU5L/8hcmi+uSH3tB55VzesHvTErJu8MWX/5OBl2Df/CjHi703B/QhqM2X/t+nHeHLRxZwpkuNy+eddPfcf8O0ZOsHLDJHfeH5fK2be8LAHK+QfVVOvVVOq9cUCg5sqM4S29fW2d22cWNMXVslwYFfW0Gp9oMelqME3Vb3C7BmU6dM506li2ZWHC4NWEzNGVzddTG51Eg6EK3TmfTvcdhpQHBJ88LPnFOsLIF1yccbk5IRmYV+DjXJbjUo1FfeXQZuXOCAkrqEY3D9QkFgv7wdSWvv9QNF7sLB6YaOpxpk5xutZlbF1wZF3x/WOedUcUDer7PoeSum34hoLlK0lRpMrch+P6IwV+87+JGucMnT1vUlB49V/nc8KnTWXrqLb495OYvrhcz0OThhd5aXLpkd3eXiYkJUqsTNLvm8Ab7uDVXpkZb/Zn9bpLHBT98OsVfD/v43h0vPzyQonovE6zU73CqLsvIpHAheAABAABJREFUsoeGMovGMgshoKs6y/V5H5sxnaqgTYnPYSUqyFjK9wggZQpAYtrKULLILT8Q6AHVSX3awkdPUj6fD8uy+D/+j/8DXddZWVnhW9/6Fr/1W7/F7/7u7x45D33ta1+jqqqKCxcu8L3vfe/JrfQD1kcG+IBqxw0ODtLQ0EBDQ8NjjZHIlWEY9yRWH65YLMbw8PAD8WZOWh/ks+a2W3Nz80Onu6dNxd9ZFc+yNOGiyC053WjRXm0fG14IilQ8tqIzuaZj2oK6UodT9VkiK6NYaZNLly7mgVfbgfEVjRuzOsmMoKHM4WK7hW5F2dwsnIIZjsH3byuJenlA8pPPWDRUFAaKjoQbU4K3RjUMHT530aav8XD+z2FTQsFXryg+z4UOh0+eyZG6dSoqKqioqEBKyexyii+/48G0JBfqxgngZne3gkAgsP/dSSl5/YZ69DXDFz+pFRwfbcck/+efm0Rikp/7nMHp9sLg3rQkX/p2hneHLbqadP7+5zyUBu59og1Hbb7yRporI1mQkkundH705QDV5R/8BsKyJeGoTThqs5twSCQl8aRDPOmQSDnEk5JEysG0JC5DpaAf/FRAwu/TCPiVWivgFwT86v+hYh1PAYB4uMtTqBuUu/jkRmJlIY1nB9zo6TUuXmxgY9thfE7Fc1y/Y/L2LdVhaKvX6Ws3GOgwaKi6fzfI0AV9rTp9rTo//WnJ+PweCJq0ef+2TXERnOvSudCj01J7/PKEENRXQn2lzuefU9lh18clV0Ylbw/b1FfC5V7FB/J5xP5rDldJMXzqPLx6FiYW4f0x+M5N+N4t6GuG505BU1V+J1IIaK2RtNZINnccroxpDM4Ibs3onGuTvHDKyQNOQkBrtaS5ymRkXuPN2wb/47tu+ptsXjpl5fkH1Zc7/MzLad4bd3Fz1mBuU+fTp7M0VoQIBALU1dXh9XqJRCK45mPMbjTx/7zl8GJHmJqqElwuFx4DPt2f4uu3ivj2iI/Pn0tSsqf26qvLshw1uDbroSpg4XFBfanF0JJkIeKiKmgT9Kp9I5Y+OFbSpkAjN96W1Jbc8+s+UTmO89hvzB9XHTYbraur4+d//uf5+Z//+bznvf3223z1q1/l61//Oul0mt3dXX7xF3+RaDSKZVkYhsHS0tK+D1h9fT2Li4s0NDTsZz9+EOHQw9ZHZtS1tLT0UP43H7Q2NzeJRqP3jYrI+eCcPn362MDAD1oPE5i6tbXF+Pj4Q203KSEcF0yt6yyGVb6PR0a42B2grvT43C1QMvbRJZ35LXXwNFc6nKq3CXgyDA4OUl5eTmtr65GTtmXDnWWNwXkFeKpDDpc6bOr27h63t7dZXV09YuKYzMD7kxojCxpuA57tcuhvOj4ENRyDb+51edprHH7onHPEPPEw6Jnb0PiLK8qU8LMXHXobCx8Ok8vw5TfVmONnPgFlxSZbW1tsbW0Rj8f3LOYruDJVzrujcKFL8JMvFfanWY84/J9fMUln4R/+qIu2usIfZCfu8F++kmZ2xeG1Z118/gX3PT1isqbkm++m+cbbaRwp6amP8tOfraG26uHGxFlTsrRmMbdiMresHovrFoUcF7xugb9IgZriIgX2TEtiWpKsmfuplplIOQWXARDwa1SW6tRW6tRWGtRWGjRUG1SX5yuGDgOfQuaJ169fzyM327ZkdsXm9rTF7RmLhbW9TkJQMNBhcLrToLvZeCCuk2lJRmcdboxZ3J5xMG0oCwou9upc7NXzTCOPq2RajcKujDqshhXZ/GyHIMgdXvvEqfsCs/AuXB1TnaBUVrlCv9ivgNC9mhI7CXh7VOPWjEAA5ztUByhwjCFixoT3xpUMXtfghT6b8212wfdY3db49qCb7YTgQptFiRyiqfFo0vz0msZ3Rrz4jAwd/pu4NHPfRRojwF/eKsJjwI+cS+6LB6JJjW8OF9FZY3K+Wd0o3Zz3sLjt4nMDcRwJf32nmN6aDEJIpjfd1IVMElmJS3Nw6w59D+fXeaR2d3dZWVmhp6fngy/sQywpJS+99BK3bt16oBvu733ve/zGb/wGX/va1/jbf/tv87f+1t/aJzefPn2af/pP/yn/8T/+R4aHh/fJzX/6p3/Kl770peMW+THHZ2xsjPr6+kcqVT9JhcNhNjY2js2nchxHtWhTKQYGBh5bdgo8GPB5kByw4+rtCYOliI6hS1oqHDqqbW7fevvYdbAdmN/SGF/R2YxpuHRJV61NT53y7cl1xDo6Oo6o5LKWGmkNzauRVm2JChKtKz3Ky9nZ2WFpaYlTp04pw8IZjZszGrYDp5ocnuk6PinetOHKuMb7E6q78KnTCsgcXv7+uMSBt+8YvDcmqAjCTz5nF/TeAXh/HL5xDapLFOgJ3IUjHMchsr3Dn78tmF4P0Fm1yafPmVRWVuTFqCxtKNCjafC//7iLuorCV6SldZv//KdpkhnJ//ZZL+e7773PDU+Z/OFfJdmKOvQ2ZbnYuc7zl/seaF91HMnkgsnV4TRjs1mW1xUBGpSkvLnORUu9i/oqnfISnVCxvg92HgQoSClJZySxpEMscfDY3nXY2rbZiNisblps7x6ovTxuQWONQVOtQXOdi+Y6F001xhGScW5sads26XSa27dvc/78+XtGaezEHUamLIamLO7MWmRNNWrpazM41+NioN3Ad4KRWK7SGcnQtM31OzbjC0od1lgtuNRrcL5HL8jzKrR9ljbhyqgahWUtqKuAZ09pnO8SeAqYUR6urKnUYG/fVh5BZQF4oV+ZI96rcxuNw1ujqgOka3C5W/J8r3Msz247Dq8PGsyu61SGHH7orEV9ef7lxLThzVEXIwsuSjy7fO5ClorSowfRckTjGze9FPskrw3skk6ECYfDxONxpKeOsd0emstNPnHqoDP/3rSXxYjBj52N43HBxq7O21NFPNuepDZk861RP3UhE69LMh82CHhtdM3G0CS1IZuqE6jr7lfb29tsbW19KPmKj7JywGdwcPCBXncY+MzMzPDFL36RSCTCuXPn+J//83/i8XhIp9P8/b//97l58yZlZWX88R//8b2Ctz8GPqZpHpG2flh1L8fkXK7Vw6S+P0ydFPjk8pVcLteJcsCOq8WwRtaCpooDj5pC65DMwPiqGmelTUHQ59Bdq4BS7i5sY2ODqampIx2xeBpGFnTuLGuYtqCh3OFci01taeHdbnd3l5m5BUTgNFenNFJZQUeNw3M9dh4H4XDNbQi+fUsjmlDE6Ff6nSN+Oof5PNGE4C+uGKxuC860OnzqrFPwgmA7CvBcm1By9S+8WDhh27Qkf/QdhzvzypjwuZ4M4fAWm5ubZLNZysvLqaioIJoK8H/9heKF/MJPuo+Nnhibs/gvX0nj8wj+9y94aag6vpWeMSVf+laS79/IUl2u8WLvBs01Ft3d3SfaJ6SUzC5ZvDeU4v3hNJEdB5cB3S1uWhsU0GmpM6goLcw/epyVzjisbtksrposrFrMr5osrFikMmrfcRnQUu+io8lFR5Ob9kYXZSGdWCzGyMgI3d3dBAKBI6ag90qXNy3J+LzF0ITFrQmL3YRE16C7Redct4szXQbBB5D378QlN8Ytrt2xWdpQI5a+Vo1LfQb9bSdThqWzkj/71iyriSZWw2r/u9gjeO6URnXZvV/vODA6D28Nw9KWUqY93wfP9ILvHvdIkRi8Maxxe17D65a80KdI0IWsGnIS+O8MGcRSgoFmm1cHrIJgaWxJ59tDLnxuyY9eyub5ca1ua/zVTa/6+8U0xV6571R8Y0ZjbreGJs9tWqscysvLcfQQ3xgppr8hQ399FtuBrw0W01phcroxw/cmigh4HPwem/VdHUNzKHJbaEIyUO+cyGH7fpVLVz+pJPxpKdu2efXVV7l169aTXpWPgc+TAj7xeJzp6ek8Zv6HIaW/u3Imeve6yKRSKQYHB6mvry8Y7fAo1iEHfLZigjvLOnNbGkioL8vJ2A86KVLK/z975x0n11le/++9d9rubO+9974rrbpkyXKTezcYTDOhhUAggZBC8iMJJJBGQgihY4MxtnHvXbas3rbvarW99za93Pv+/riaVdvZom7i8/n4I1ueuXNn5s57z/s85zmH7u5uJicnqaysxGQyMTEn0dAn0zmq3yhyEjQqMjXiIxafBjvS4eNolwGvZiIlRmNjkXaWiPJUzDjgnSaZ40My0VbBNVUnw0UDCJAeVdVo6pV5s15Pnt6xeuFRdQCXR29tdY1IbCgRbK9auF3g9upuzN3DcMtGifUlpz9IVVWmpqZobLfxSl0SIWaV+7c5yclYOGfnYIuPX7/sISlG5gt3W4haRM8zOKbyk6fsDI1rXLvWSFbUMRIT48jIyFiSpDhcGu8cdPHWfidjUyqKAuX5ZtZVWKguMRNivjIFm0IIxqdVegb9dPR56ezXW3C++YBSiI+0sbYqnsricOKiThdILzYufyo0IegZVDl6zE9du4/xaf16L8hQqCkyUl1oWNZEXQDDExoHW1QOtvqZc+gkZFWRwtpSA2kJi4eoHjhwgNraWnpHYW+TRn2HnheWmyqxoUyiNHvxyI+AMeKuRjjWr5OnNUV6FWixfK+RaXi7XqZzWCY8VLCtQh+DX9Afyw97WhUOdSiEmuCGVX5yks5ey9872EH7bBkev8SOGg9ZCac/ZmRGJz9Ws+D2Na75DYkm4MWjIdjdEhsyerHPjmG325lQVuEW4dxUMYfFbOS947p54fYSJ3s6Q5AlgdWsMeuSMSp+LAaNmFCN9AskORkbG8PhcJCdvfAwxpUKu93O3Xffze7duy/3qXxAfPx+/0WJbFgKLpeLtra20xyTBwcH6evru+ij9Gdi7969rF27NuhufWpqitbWVkpKSoiOjr4o57B7916S8zfQNmRg4kQ7KzdRpThFPavvf2rlqbCwiMFphfoePUDUqAiKUjXK0s9+3qnwq9DcL3O4Q9bH3002rq4OIS02uNma1wf72mUOd0hIEqwt0KjNP9ubJHCjm7VrvHrUQNeITHq84JY16oLTLwCj03q6+qwTbl4L1UE2czan4FevaoxMwj1b9ZiChdAxoPGz531EhcMD13rxOMaZnJxEkiRiY2OJj4/HarXyzlEfv3/TS366wmfusMwLWxfCrqMeHn3FSYhZ4qM7DHjnmsnOzl7ShHN8ys+ru528e8iF2ysoyjaysSaE1aUWrCFXJtlZCj6/oG/Yx5GmKZqPOxmdsc4bHcZHKxTnmijLN1GaaybcKi9qnrhQNUgIweC4xpFWH0fa/IxM6uPc+ekKq0t0ErRco0dVE7T3ahxo0SfD/CqkxEmsLTNQW6xgDTn7Oz8zC8ruFBxoFext1pix60LnDeUya4uX9gUanoR3G6CpR58SW10IW8ohYrFq6qjEm3Uyw1MSyTGCa6pVMoNcZqMzEi8dMjAxJ7Mqz8+WUvW032RdXR2ZOaW8Uh/OhE1iW5mXsozT1/zBKZkXj1jIile5tuJkOOmMQ+K5I6HkJvrZWOBBCEHvqId9vfEkyG1EyiN4QooZcydwS6WNA736D1yRNFQhMCt+ZAnK09QLNtU4MjKC1+slIyPjghzvUmFkZIQvfOELvP7665f7VD4gPpeL+ATaWbW1tWiaRltbG16vl7Kysouq51kIBw4coLq6+qxqgBCC/v5+hoeHqaxceDT8fOH0wPERhaY+FRUz4RaNohQt6FSX2+2mrq6OpORU3IZMGvoUZhy6R0h5hkpR6sItpAC8Pqjvlanv1ltaydEa1ZkuZkaaWLVqYUMwVdNt+Xe3yjg9eltrc+nCQkwhBH6/SmOPxFsNCpoGV5VrrMoLTqiaeuC5vWA2wb1bFg4aBT2C4ucva9ic8JFrZArTFz7g8X6Nn73gIyZC4gt3GE/TeHi9XiYm9JbYofZQjvYkU5Sh8ke3WzEHyf3QNMETb7h4Y7+HkhwD91yt0t+jE+HFhO1jU36eeNXOgUY3sgRrKyzcsMlKVur5+09dCejt7WVycpKKigpkWWFwzE9rl1f/p9OL061/59mpRsryTZQXmMlLN6Io0oqqQUIIhsY1jrT5ONyqkyBZgqJshdoSI1UFxmVrgpxuwZFjKvua/PSPCr3qlquwrkz3BwrEZQQLwdQ0QUuP4L1GQeeg3oqqKZDYVCGTtEQbbGJWrwAdPa5XMlcXwJaK4ARICGjqkXirQcbmlChK07imWiNqgRkPvwo7Gw0c7VJIjNK4da1vvk195MgRKioq0DDw8hEzveMKq3N9rC88PZ29vsfAvuNm1uV7qMw6aTVyoNNE66CRW1e5iLbqGqpnj1pJiFCpzbTR0uejazaRRN8u7KE1hBg1vCKEMLMfi1El1KSRfwGHcQcHBxFCXJCw7EuJzs5OvvWtb/H0009f7lP5gPhcLuITcCuurq6mrq6OhIQEsrKyLrmmAeDw4cOUlpaeRmw0TaOlpQUhBCUlJRd0fFIIGJ6RaB/Wp7oEEqHSFLWFoWTESUEJwszMDHVNxzFEV9A9GYbLKxEbplGZpZGTEHziCvSpkPoembouGY9fIjNeY1WuRkqMwOv10NTUxKpVq846z2OD+nj6jEMiNUawtVwlOUiouBCCsWk/rx810DsukxYnuKlWJTrIMJ6qwRtHYV+rRHq84J7NZ4uYAxiaEPzqFQ2/Bp+4XiYjceEPqb1f4+cv+IiNkPj8GaTnVLy6z8vzu7yUZatsKR1hbnYai8UyP0ofuBZcHsFPn7LT2OFn+xozV1Xa6evVpwzPFFEH4PJoPPe2g1ffc6AoEtesC+XaDaHERF74EVwhBC63YMam4vHqSe1+NaDHkTAa9SR644kRd6NBwmJevM2znNc8fvw4Xq+XkpKSBSulmiboGvDR2O6l8biHzn4fQuiC7cpCM1XFZsrzzVhDFq4GBTNPDFSCDjb7ONTiY3JWrziW5xlYU2qkLG/502GD4xr7m3Q9kMOtT4WtK9NbYe2tS2dBDU8K3mvQONKu54QVZkhsqZTIT1v8852ywTv1OgGSJL0CtLUy+LXv88O+Nok9rfrnsL1SY1X+whuJ40MyLx82IElwc62P7ETBoUOH5gXnmgY7m3XR85o8H+sKffPPFQLeaDDTPaZw0yo3qTH6d+HxwRP7rWTG+dlcpE9z7emwMDancFu1g6EZAwe6Q9hWaOdgrwWzZMdHGNGhHmQJMsJniI4Kv2Bre39/PwaD4byiii4HGhoa+NGPfsRvfvOby30qHxAfVVVXZCR4oSCEYNeuXSiKQlFR0WXxHAjg6NGjFBYWzrfX3G439fX1JCYmkpmZecF+sG4vdI4ptI/I2Fx6yGhekkp+ksqxpoPzWp2F0Nw5QXOfwpyWgCYk0mM1yjNUUmOCV1IAHG6o65Fp6pXx+iWyEzXW5KsknFKoOLX6FkD/BLzTpDAyLREXIdhcopGTtPBrCSHw+TX2temaA4MCV5VpVOcGP7cZu56sPjAhUVsguH4VBOOWx/oFv31Tnyz71A6ZhOggpKdPr/TERemVnrAFWhgAbx708vROL7XFBj56o3m+BO9wOObH5VVVxRway1O7YhiZhA/fEEJW3Mh8hSOYO/e+ehePvGhj1qaxsdrCvTeEE32OYYwBaJpgYMTH8LiPoXE/I+M+hsf9TM34mbFr+HwrW04UGcKtCuFhMtERCvHRBuJiDCTHGUhNMpIcbwxKHjRNo6mpiZCQkBVl+DlcGs0dXo62umlo92BzCGRZF3SvKjFTU2o5Sxt05rj8mZNiQgh6hlQOtvg51OJjziEIMcOqYiPryo3kpi1PHO7361NhexpUjvfrLbXU6Dlu3BJHcZa8pCDX4RbsaxK816hhd0FyLGyplKnKD+4MDfr01zv1+jSYIsO6EthcQVBj0FkHvHhApmtEJjNB4+a12oKbimk7PLPPyMScnnknz+6jtnb1Kb5X8GajiZZ+A1eXe05re3n98PQBXbNz3wbn/GDB/k4TbUNG7l7jxGoWdI4ZOdht4cYKO16/zK7joWzIdXK430J8mB+PVxAe4kfBi2xrx2azERYWNj8yfz6u+729vVgslgvu6XaxsXfvXp588kl+/OMfX+5T+YD4XA7iE2ghHTt2jE2bNgXdOV8qBMJOw8PDmZmZobm5+YKSMacHDnYZ5j174iM0CpNVMuNOJrEvVHXyq7pj8pFOHzZvKEZFUJiiUZK2+LQV6IvfkS6FtkEJoUFusmBV7umEZ/51/H4OHz7M2rVrGZ6C3a0yPWN6XtCmEo3SjMVCFgW9YxqvHZYZn5Pny/Fhi3QFjw3AM3t08eSt66A0M/hjD7ZpPPOeIDFGr/QEy9M61qdXeuKj9EpPMNLzXr2P373mobrQwCduNgfVHYxOevj+Iw5m7IKrywdJibFhNpupqKhYkJy6PBoPPzvH7qNuctKMPHBrOLnp52YR4fcLOvo8tHZ5aOt0c6zbMz9VBRAdoZAUbyAu2kBUuEJkuG5EGGKRUWTmJ5d8foHvhJ+P/g94fbrxoc2uMefQTREnpv3M2U/qbmQZkuIMpCYaSUs0kpVqIifdRFS4oLGxkfj4+PPSV2iaoLPfR12bhyOtHgZH9fUnO9XAqlILq0stpCQYTjxWO+0fIcQ8+TmVBKma4FiPyv4mH0eP+fD6IDFGZkOlToIilymKHp/W2NuksrvOhdtnJCZCYkOFwroyw5Jj8X5V9wR6t05jZEoPXN1cKbOudPFx+Mk53QixoVP3rLq6RhdCLxSHIQTUdUm8cVSPs7m2euENhtcPrx4x0DagEBcywUevDT9tQkzV4IVDZvrGZW5e7SE78eT3Pz4n89R+C1VZPtbm6xUhm0viyYOhVGV6qcr0MeeSeKkhjNpsN3FhKm+1WanOcNE8bCEyxE+I0YciCQqSNEJNzE+KTU5OMjU1BZzMFDvVjHQ56OrqIjw8/JINv1wovP766+zevZt/+7d/u9yn8gHxudTER1VVWltb0TQNm83Gxo0bL9lrB0NTUxPp6enY7faLIq72q/D8USPpMRp5iRpR1rO//lOrTlN2idYBmePDMl5VItTgoSpHpiBFLKrfEQIGJiXqe2S6R3VfkJJ0jepsLWiIKOg3l7d3NzFnqKJzRCbEJFhToFGVvfA4bQBzTsFbddDcJxMeIri2WqMgNfil7fXDa4fh8HGJpGjBPVt0v5MFz0kIXjsoeKdekJ8GH9kuL+gwDMsnPQdbfDz8ooeSHIU/ut0SdDc+NqXy77+x43RrfOGeEJzTLYSEhGA0GpmamkJRTrpLW61Weod8/PdvZxibUrljexi3brOueGxXVQWHml3sPuKgoc01T3TSkowU55opzDaTlmgiKc5AiOXCC6I9Xo3hcT+Doz4GRnwMjPoYGPEyOnHSV8hi0shMMVCcF0Zehn5OEWHn374bHvdzuMXN4Wa9JQaQlmhgTbmFNeWnk6BTLRKEEPNESFGUk7luHsGRNh976n10DKjIEpTlGdhQYaQ8L3gu26nYu+8gluhqdp+oAikyVOYrXFVtICuI+WUAQgiO9Qt2HhF0DulVqM0VMpsqpEXF8yNT8PIB6BzSk+Vv3QCZQYoasw54Yb9M96hMYZrGTWu0sypFQsChDoWdjQoZ8YI71vtOWz+8fnhqn5kpm8zdG9ynjbq/1WSia9TAfRtchIfof/9yfQhun8Ttq5wA/P5gGHmJPnLifbzVZqUkxU3HuIlws5fIEBVZkihPW1hG4fP5mJqaYnJy8rRqUExMzJKech0dHcTExBATE6TnfoXimWeeoaOjg29961uX+1Q+ID6apuHz+ZZ+4AVAYCQ8OTmZjIyM04I5LydaWlrweDxIknTRxNVCLByqGUBdfSNyRAHdE1ZGZ2VkSRAuj1GWASU50Ys+1+eHtkGZhh6ZKbtEiElQlqFRkXX2Yngmhqdgf7tMx7CM2SiozdeoyRGYFqlE+1U42C54r1lC1WBNgcb64sVJ2cAEPL1b1zesL4arqwiaVO3xCh7bqXv0rCmSuHVj8NHhlm6VX77kJzFG4nO3Byc9zV1+fvy0m9xUhc/fZcEUZAc+OaPyvYfteL2Cz99tYmZMJ8Wn6gncbvd8S6z+uMLOujjCQiU+/6EoSnJXJoCfnvXz1n47b+yxMzWrEh2hUFMSQmVxCMU5F4ZYnA+8PsGxzln2HOrDo8UxOAb9w755MpSSYKAw20JxjpnCHDOJsYbzag1PzaocbnZzoMlNe4+uCwqQoHWVFpLiTl5kp5onBmuJjU6q7GnwsbdBb4VFhklsqDCyscpEXNTCBEYIXRcTaP2OTmnsrvdzoEUPTM1Okbl6tYGy3JNi6GDoHRG8dUSjpUcnQFfXyGwsl4K2EoWA1j54cZ9Obmry4fpaTvPHOvWx+9t08bPVDLeu08hOOvvW8vzObo5NFZK+APlxeuB371mQJfjwZvd8a8vmknhsTwi5iX62lekGhm1DBvZ1WLhtlZNoq8ZL9aFEhmoUJft4tz2U/EQPfdNGEsPdKJIgJ14jYhnFfCEEdrt9vhokhCA6OprY2FgiIiLOup6OHTtGYmIiUVFRSx/8CsIjjzyCzWbja1/72uU+lQ+Iz6UiPguNhJ9LVMSFhtfrZc+ePcTGxi6YkHuxYXNB66BCU5+GXzMSGSrIiLbhnWyguqKIiIgg1sboJKK5X6a1Xxcsx0cIKrNV8pPPHjE/FYEE6P3tEn3jMhajIM7Ux+1bU4M6xgae19wLOxth1qFHU1xTvbDOIAC/Cu82wnvNepDj7eshKyn446dtgodf0xibhpvWS6wvCS4UbepSeehlP8lxEp+9zYg1yGRP16DKDx53kRQr86X7QoLuuqfnNP7lYRsOl+Bzd8rMjOktz4UsDIQQPL/Twe9fs5OXLnHzhhk8rimsVut8NWixnWvPoJdn3pjlQIMTVYPKIgvXbQynpiTkgpi8XShMT0/PR7MEDDK9Xo2uAS/Huj20dXk41uPB4dSZUHy0QllBCOUFFsoLLOdF3KbnVA42uTnY6Ka9VydB2akG1leFsLbCcpp26tRq0ELmiQKJxg4/u+t8NHX6QUBxjsLmKhMVBYbTiLWmaRw5coTVq1efdj4er2Bfk8rOI36m5gTxURLbVhtYU6IsKageGBe8ul+jrU8QaYVra2VWFwUn9F4fvF0Hu5v0accbanUStNBPYXgKntmjMGmDzWWCLWWnJ7kfOHCAsOR1vHTQQFqc4K4NvtMqucPTMr/fY6YkXWV7xSkuze1G6nuN3L3ORWy4wOGReGK/ldocD6VpPl5vDsUgCwqSfBzoDiEtxofToxEV6gckKtPPbWhmqWpQa2sraWmnR3C8H/CTn/yEkJAQvvCFL1zuU/mA+Fxs4iOEoLe3l9HR0bNGwpfyz7nYsNlsNDQ0EBYWRlJS0iUTywkBA1MSLf0KfRP6NRhtmaM0TSWESUZHR6iqqlowDkPToGtUb2cNTemVodwkQWWWbjq4GG9TNWgflDjcKTMyrY/Ar87XqMwSHDq4OAntHoG36mFkWiIhUmNruUbOEkMVvWPw/D6YnJOozBHcsJpFidWxfsFjb+vjsvdvl8lPC/5mjrarPPK6n7R4nfQEIzPDEyr/8agLq0Xiq/eHBPV+sTk1vvcrG9M2jU/e5Mdn76S8vByr9eweoaoKHn5ujrcPuNhQZeHTd0ViMEgIIXA4HIyPjzMxMQEw7xkUFhaGJElMzfj53cszvHvQQahFZutaK9duCCc5/sobcR8dHaWnp2dJKwdNEwyO+mjt8tDY7qb5uBuHSydCWalGKgtDqC4JoSDLvKw200KYmlXZ3+Bmb72LnkE9Hbwo28SGagtryixntf8WG5efnhPsbfSzp97HtE2vAm2qMrKp2kR0uIyqqtTV1Z015RiAqgkajqu8eUgfiY+wwtYaAxsrDFgWaWUBdA4KXtqn0jcK8VFw43qZ0qzg5H50Gp7bo5sh5qXCbRtZcKPh9cPLB2Uae2TKMjVuWavNDwscPHiQ2tpaWvplXjxoIDdJ4/Z1/tOmQHe3GjncZeSOtW7S4/TPy+2DX78TSmm6nw2FOiF6Yn8oiREqW4o9vN0agl+TyIzz0TxoJixEJfbEJFdmnEb0BVALnFkNCnyvWVlZJCQkXJYp4HPFf/zHf5Cdnc0DDzxwuU/lA+JzMYlPwGjPYDBQXFx8FsEJ5p9zKTAyMkJXVxeVlZWMjo5isVjOOWF9uXB44NigTNuQgt0tYTHqZoPFqSoDPa04nU5MJhOlpaVnfVYuL7T0yzT2ythcEhEhgrJMjeK0pdtZTg809EjUdcnY3RLRVsGqfI2yjJOVoWDVt74x2NWsG6pFhAo2l6qUZohFqxJuL7xZp8dORFkFN6+F3EU+Wk0TvHlU8PYRXcT8kWvkoNESAHuaVJ582092isSnbzFiCaL9mZrT+PdHXGgCvnp/SNDWhs8v+Ldf2+gdVrn/Wich0nBQEbOmCf738Vn21bu5ZauVu68LC7r4er1eJicnmZiYYHrGQVNPLHsbTWga7NgSwR3XRl6xBob9/f2MjY0tOsEWDPoou5fGdjeNx1y0dXlQNbCGylQWWqgpCaGqOIRw67lVg4bH/eyrd7OnzsXopB7fUlNiYWO1hbJ881narWDmiUJAS7dg11EfLV0qkgQV+QY2Vyu4Z5qD+lqdfL7geL/G6wf8tPdpupanysBV1QbCFhFCCyFo7hG8vFdjbEZ3g75lg0xqfJBJOqEHob56UP/v61bDmmLOCjMWAna3SOxsUMhK1Lhns4bZeJL4ABzplHmz3khFlsp11f75jZJfhd/usqBp8NGr3PPrwitHzUzaZe7f5EKS4LUGC15V4uZqF2+1hCCAqFDBqE0h1OQjOtSPX5NYlXlxLFJ8Ph91dXVYLBacTueKtEGXG//4j//I2rVrufPOOy/3qVw04nNpHfjOAxeLMTudTurr60lPTw9qNKUoCqqqXlLiE/AgsdvtrFmzBoPBgKIoFy22Q9P06k7roF7dEUIiNUZjbb5KVrwumvR6vYyOjhIXF0dpaelpY6cj0xKNvTLHRyQ0TX/u5hKV7ESxaIo7wNgsHO2Uae2X9J1ZgsZ11RrZiYtXhkCv1uxqgt4xCatFcHWlSlW2itEQfHeqT5zAm0f1Mfq1RYKrK1lUL2RzCp7YqXF8EGryJW7bpPvOLHx8wVtHVF7co1KSJfOxHYagj7U7BT98woXHJ/jTDwUnPUIIfvWcg84BlVs3zBJlsVFSUr2gb5OmCX76e5303HN9GLdsXaTHB5hMJpKTk/GKWH7x/DhD437KclVqiyZJiJlkaiIeOe7sUNXLCSEEHR0duFwuqqurz6kaK8sSeRlm8jLM3HFNJE63RuMxF0daXBxtdbHnqBNZhuIcM7XlodSWhxIXvfwlMznewB3XhHH7ditd/T52H3Wzr8HF/gY34VaZDVUWNq8KISPZeOJ89PcQ+E5PHZcvzYHSHBPj0xp7GjT2Nvqoa/cTHZaBHS9ry4MTa0mSKMhQKMhQ6BvReOOgj9f3+9l52M+mSgPbVhsWnEKUJImybIniDIn9rYLXDmj85xMqq4skrl8rE3nGc2RJz/oqSIdnd8ML+/SW831bT4+/kCTYVCoID1F58YDMw28o3L/tdP1TTa6G3eVnf7uBxCiNqhx93TMosK3My9P7LdT3GFiVqw+85CSq9E4YGJuTSYzUiAjV6Bw1IoROyBQZbG4Zk0FgUgR+TSIj5uJFIBmNxhOO9YUYjcb5alBTUxOaps1Pii2kDbrccDqd77v23Erxvqn4CCHwer1LP3AFmJiY4NixY5SWli4qQKurqyM/P3/BdsLFgM/no6GhgYiIiNM8SPr7+9E0jczMReaqV4g5J7QNKbQP627HISZ9FL0wRSXylBLwQu02jw/ah/TqzqRNwmQ4EUORqRG7xO9GE3rW1eEOif4JGYMiKEkX1ORqxAWXC53IK9tAxzDsa9U1QFaLYH2RoCJLxaDo0zPBFpOBCXj5IAxNSqTFCXbUQsoSbgCtvYIn39Xw+OCW9RK1RcGPr2mCZ3apvNegUp0vc/+1wadzPF7Bfz3uYnBM44v3hJCXHryy8MIuF8/udLO+eIYtVSq5ubkLnoMQgl8+PcfOgy7uvCaM27cvTnoCz3ljj52HnpnCGqLwxY/GUl6g36lcLtd8S8zn8xETE0N8fDyRkZErWrBnbbqvz9ikj7EpP2OTPqZm/Hi8Gl6fbmhoUCQURcJg0H1lDIo+8h5ikYkMMxAephAVoRAfrTAz1U1MlInCgvyLcuMIVIMONTk52OBiYFSvNuekm1hTEcr6qlCS4la+EfL7BQ3tHt474uJomwdVhcwUA5trQlhfFbzFeWY1yOcX7G/08OYBNxNzZkLMsL7CxLbVJuKjlyaBI5Mar+33c+SYHhuxsUJhe60xqA0D6CaZbx7WeK9Br8BeWyuzqVxa8PoWAg4fhxf3QogFPrIdUuPOPmbnkMQT78lEh0Fp9CE2ra8+7Ri/322kf0Lio1t9JESdvB09e8DM2KzMJ692YVB088KH3wmlPMPHugIfLYNGDnSauW+dg13tIZgUwZxHIdTkJzxEr5qtybq4mtHDhw9TWVl51hCKz+djenqayclJ5ubmCAsLmydCV0I16Etf+hJ/9Ed/dNl1rXzQ6rqwxCcQnDkxMUFlZeWCGpVT0djYSGZm5qIC3gsFu91OQ0MDOTk5JCWdrq4dGhrC4/Fc0NC75n6ZPccU0uMEhSkqGXHiLF+O0dHR+aDWkZFR7GoUo854OoYlVE03DizPVJccYwe9vdTSL3GkU3dZDg/RyU55plhUVwN6mfuZNzuZ8OcyOac/d30xVGYLJPSdX9AcMxvsrIfGHomwEMG1NVCetfgEm9cveGmfYH+rIDkG7rtaJjGIKWHg8Y+86qexS+OqKoVbNilBp2l8fsH/PuXmeJ/Kp2+zUJEf/IOrb/fyw8cc5KbM8ZHrDaSlpQZ97DNv2nnqDTu3bLVyz/VL79p8fsH//HaCPUedVBZZ+OP744gMX5iA+f1+pqammJiYYHZ2lrCwMOLj488yetM0QXu3m0NNDrr63PQMeJieO72lEBGmEBtlwGyWMBtlZBlUFfyawO/X/1E13d/H5daYs6vzE1oBWMwS6clmMlJMZKSc/DM64sKnxQ+N+TjY6ORAo5OOXn0dykkzsa5KJ0EJsSsnQTaHxr56F7uO6HogRYGaYjNX1YZSlmdatE3r9/tpbm7Gag3DJyXxzlGVo8dUhAYVBQrXrDGTl7705zA2rROgw60qiqy3wLavMQSdOgSYmBU8u0sXQCfGwF1XKWQnL/z4oUl45A29snrbBqjOP/sx3SMSj70rY1FcfPpG02nVIacHfvmGifAQwUe3+ub1Pv0TMk/vt3BtpYfiE6Pozx60oAm4Y42b7jED77RZuH2Vg3fbQ4m2qkzaDcRHejHIgowYleTIixt6ffDgQVavXr3od7CQNuhyV4MefPBB/uZv/oaKiopL/tpn4APiA+DxeM77GH6/n6amJsxmM4WFhcsqkbe0tJCcnHzRgj8DGBsbo6Ojg/Ly8gVLjSMjI9jtdvLy8i7Ya3r94FPBugD3E0LQ2dnJzMwMuYVVdI6aqO9WcXpNmAyCghSNknRBQuTSLamRaajvlmkdkPCrEsnRglV5GgUpYtEIC9DJ0pEOOHAMHB6JxGjBukIozgCEvgMOVuWxOeHdJt11VpZhXRFsKmN+HDYYOocET+3SmJqDzeUS19Uu7m5rcwp++aKP3hHBrZsVrqoKTmQ0TfDL590cbVf56A4z68qCn8zIpMq3fzaH1ezmK/ebSUwI7glypMXN9389w8ZqC5+5Z+mKjNer8W+/HKeuzc2Hboritqsjlj2pFTB6C4zLCyEz5YjheJ+Jo60eZub0G2l6ipnsNDNZaWaSE4wkxBhJiDWu2ONHCMHMrJt9B5oxhSbhU8MYHPXSO+Shb8jLrO0ksYqOUMjPtlCQFUJ+loW8TDOhIRdu3H5i2s/eOif76hx09OkkKC/DxMYaKxuqrUSdgwN2/4iPdw+52H3Uhd0piI2SuWp1KFtrQ846nqqq1NfXExcXR0ZGxvy4/NSsn3eO+Hivzo/TDRlJMttrjawuMS0p1h6f1nh1v59DLSomE2yrMbBtVXARtBB6Ftiz72nM2GBzpcSOdfKCvxGHC363E7qHYVO5rv058zLrHFR5fJeB+CiZj21XT2s7HxuUeW6/kS1lftYWqCdeHx5514JBEdy3UQ8r3ddupLHPyIPbnfSMG3i3zcItNQ7eaLaSEu3H7oHYcBVNk1ib7V1yzTpfBMtRWwyBzUWgGmS1WuddpC9VNejDH/4wP/jBD66EVPkPiA+cP/FxOBw0NDSQmZm5IoHwsWPHiI2NJS5ugVrtBYAQgq6uLqamphaNgxgfH2d6epqCgoKLch6nwu/309jYhF2LZ0bLoHdMQiARa3WRGWNjTWk0xiXWd68fjg3ok10j0xIGRVCcJqjM1khaBoecscOBdl2P4/NL5CQJIrRmbtxWCpw0iFuI9DjcsLcV9rfp+qWafNhSFjxnKACXR/DyAcHBNkFMBNy5WSY3ZfHfX/+Yxi9f9OFww/3XGqjMC/7BaELwyMse9jf7uWOrie21wRczt1fwDz+ZZs6u8rWPWchICV7BGR7383c/nCQ5TuGvPxsb1P9n/tgeje/9bIyWTg9/dG8M29edW09/cNTL069NsfeIDadbYDIKslO8VBUb2bAqhtTk2AuSH+dwOGhsbKSgoGBBQ7iZOT/9w156Bj109rpp73EzPKa3MiQJ0pNNlBWEUpYfQkl+CJHhF0beODblZ+9RB3uOOugZ1MM0y/MtbFplpbYilNAVEjyfX3C01cPOA06aOrwoCqwps3DthlBy0434/X7q6upITU1dcA3TNA2PV2Nvg5e3DnoZnRJER0hcvdrApioTIZbFv4uRSY2X9vioP64RaoEbNxjZWKEEJcQen+DFPRp7mwUpcfCRa5UFo1pUTff8OdAG5dlw52ZOG1X3eDy8c3CIgwN5lGQIbl9/ctRdCHh2v4HuEZkHr/MSceI33Nhr4O0mE/dtdJMYpdE6YODdVjP3b3IyMquwu93CNWUu3jseSny4n1CLnsB+Kao9cG7E51QEpi8nJyeZnJy8ZNWgW2+9lccee4yEhISLcvwV4APiA7q4donzDYqxsTGOHz9OeXn5iltWHR0dhIeHX5Qxcp1gNBISEkJBQcGiFajJyUnGxsYoLi6+4Odx2uvMuHnnyATT/jScPiOhZkFJmkZJuoZtegBVVYPqjISAwUlo6pM5NiDhUyViw3WyU5K+dDtLCL08vv8YtA3oV35pJqwphKRoXeOzbt26eb1DwAQugFkH7GnRK0R+FcqyYFtlcOflk68raOjSW1s2F2wql7hmVXABcwBH2lV+94afsBD41E1G0hKCf39CCB573cN79X5u3GDixo3BPwwhBP/5yAQt3QpfvM9CRUFwxuZXBX//o0nGp1T+8UtxxEYtfnNTVcF3fjxGS6ebL9wfy+ZVS+uAzsTElI9HX5hk5745DAaJTavDWVcdRmVRKAZF99WZmJhgenrhUNWVYGZmhtbWVsrKylYkurQ5VDp63RzvcdPa4aKty4X7hNO0ToRCqCq2Ul4YekFcpgdGvOw+4mT3EQejk35MRona8hC21IZRUWBZse/RyISfN/c5efeQ7pCdmaKQlzTKdZsSSE5e+qakCUFDu5dX9rjpHNAID4XtawxsrjJgMZ+dLn8q+kc1nn3Xx/F+jYxEiXuvMZGeGPwzau7WePxtDZ8fbt8kU1t89mZECHivSZ/6ykrSdT8hJyrNbreb9vZ25pRKdjYo7Fitsir/5Fo/54SfvWaiJF3jhlV6W9vthZ+8HsLaAh9r8/0MTMq8eCSEW1a5mHEpHOg0sybPQ0O/hZgwH1FWFb8qsSH3wmpFg+F8ic+ZuFTVoO3bt/POO+9cCcMMHxAfODfic2q7Jtjo71Lo7u7GbDZf8DHywERZRkYGqanBdRsBzMzMMDg4SGlp6QU9D9CrIr3jEnVdKgNTJkAiLVYXKuckntT9BNMZOT3Q3CfR0CMzbZcwGgRFqfooe0rM4loa0KtDzb1wuANGpyXMRkFNLqwuYH6HB7qn0qpVq+arPIHFdcauT3fVdeqPq8iBjSUQt0Dm15kYmhA8v1ejZ0QPbrxzs0xakJHdAPyq4PndKrvqVXJSJD6+I3jCOujX4ZNve9l52Me1a4zcusW0yNSZ4HcvDvLWUSt3bDNz46bFy1S/f83Gc287+JOPRFFbtjSx+NXTU7z8ro3PfziWrWtWRnq8Po3HX5zi+bemEQJ2XBXFHddFExURvIJyZqhqoHq6nF3r+Pg4XV1di6bMLxd+VdDZ66bpuIvmdietnToRMihQnBdCdYmVmlIrGSnBv5vlQAjB8V4v7x6ys+eoE4dTIzpSYVONla1rrKQlrWwNcnk03t4/xyu75pixm4gMl7l2fSjb1oQGFUOfiY5+P8+946K120+EVeL69QY2VCgYFGmeAJ1JgoQQHG5TeeYdH3YXbKpUuGljcC+qWbvg0Tc1OgcFVfkS92yVF6w8NnbB79+FpBj41A697ex0Ounq6qK0tIzfvSPTMyrxiWtVkk8p7r1RZ6C+W+ZzO7zzDtG/ecdCRIjg1jUexmZlnj4Qwg1VbsZtCi2DRnKTVMZtMknRevUvK1olKeriV3vgwhOfU7FQNehUF+nz8ZzbtGkTR44cuSCV2vPEB8QHVk58fD4fjY2NWK1WCgoKznkx6+vrQ5Ik0tPTz+n5C2FycpK2tjbKysqIjFzG3Rl9sqq7u/uCis5mHbrvTuuAjMMjYZC8lKQLKrLlBQ3IRkZGcDgc5ObmIgT0T0g09EgcH9KFzqmxgvJMPQtrKaEzwMScXp1p6AaPTyIhUlCTD2WZZ+twhBDU19ejqirx8fHEx8cz4zSxuxkae3RyVZOnE56oZdzPbU7BG4f1tlaoBa5bLbG6UFpyZz4+o/HrV/wMjAs2VyrcslFZVP+jCcETb3jZVedj6yojd20LfmNVVZXX3+3gqd3xVBaY+MI91kWv2+O9Xv7xx1NsXhXCp+9a+jp654Cd/3l0khu3hPPxO1aWITQ26eN7Pxmis8/DVWvCuf/WuBWLegNut+Pj49hsNiIiIoiLiyM2Nvas6ZeBgQFGRkaorKy8KFYSPp9Ga6eboy0OjrY46B3UKwHxMQbWVIaxpiKMkvyQRb/bJV/DLzjS7OSdgw7qWl2oGuRnmti2Noz11dZltcJsNhtNTU2UlpbSO2Lm1d0OGtq9GA2wqSaE6zda53PClsLxPj9Pv+3ieJ+fuCiZmzYZWV2sAGJ+bVWU06tBTrfgpT0+3qtTibDCvdeYKMtd+KaoabrP1asHNRKj4WM3KMRHnf35tfXBb9/UzQ4/cg24nHr+YElJCU4P/PQVBUWCz+w4qfeZskn8/HUTm0r8rC/StT5vNJjoGlH4o2tdzDgkHt8byvZyN0PTBsbmFAxGichQP1aLhk+V2Zh7/jrR5eJiEp8zEawaFBMTs+TwzpnYvHkzR48evRLG7D8gPqAvmsv1sVlsOmqlGBwcxOfzkZWVdV7HgZMO0WNjY8uaKDsVDoeD48ePU1VVdV7n4PVDx7AeMDo0JSMhiA21EW8ZZcvqdEyLiHfGxsYYnbTjUnJp6NEns8xGQWmGoDxLI34ZXUSPD1r6oL4LBiclZFlQnAar8iEtbuHq0Kmmbk6nk5bOOQ53hzJmj8Yga1Rm+9lUbiAqbOnfitMteLdBsKdZoKqwrlTimprFgxnhxA74mMaTO3U32Q9fY6AsZ/FdkaYJHn3Nw95GP9trjdx+VXDS4/V62Xugmaf3ZhAWauCvHowgNEi8Beg31b/5rwl8PsG3/zSOEPPiN9HhcR9f+5dhCrPM/NVnE1bkTny0xcG//2IYTYUvfyKJNZUrb4+dCSEEs7OzTExMMDk5icFgmJ8SCwj5y8rKLtnOc2Lax9FmJwcb7NS3OfH6BGGhMqvKrKyrDqO6xIrZdO476Vmbyq7DDt7eZ2dg1IfJKLGuMpSr14VRlGNe8LoIRHFUVFScFkg8OOrn1d0Odh914fNDTYmZm7ZYyc9cupokhKCp08/Tb7noH1VJTVC462ozJTmG035nQoj5SpAsy/SOaDz6qpfhSUFNocJdVwfPnGvv13jkdQ1NgweulylIP/tzO9gGz+6B1YWwrWyOoaHB+TZ+3xg8/KaBrRUqm0pP3oYef8/IlE3iszfo4uSmPoW3Gs18bKsLRYbfvhfKVSUeuseNqBq4/AoZ8R40AdlxKkkRl6bao2kahw8fnjdkvJQ4n2qQEILNmzdTV1f3AfG5UrBc4hNwOw42HbVSnFrlOB+oqkpzczOKoizoEL0U3G43zc3NQS3ql4tHdxmYmNPdiguSffhnGkmKs5KTkxO8EqFB57DE0Q4/A1MmBBJpsTrZKUgVSwqdQc/qOdwBLb3gU/Ux+MocXYcTFqRDc2rKtapJtPZJHDimE6YQk2BVvkp2zDi2mVGcTicxMTHExcURHR191ufr8QreaxLsahB4fVCRK7G9RlpwR3om5hyCJ97209ytkZ0s8dHrjUSHL90O+/XLHg63+rlhvZGbNgYnPQ6Hg7r6Jt5symdsSuKvHowgJX7xD/Wp120885aDP/9ENBWFixNoTRP8w/+M0jvk49+/kbKiyaM3ds/yP4+MkpFi4uufSSEl4eJMl7jdbsbGxujp6UHTNJKTk4mPjycqKuqSx8W4PRp1rQ4O1Ds41GjH5tCwmCVqy8PYuCqc6tJQTMZzOychBJ19Xt7eb2f3UQcutyAlwcD29eFsWW2dzw0LtPkWi+KYs2u8sc/B63ucOFyC/EwjN19lpbLQvGTlUhOCQ80+nn7bxcSMRmmugbu3h5KWqJxmnnjqPUITEm8e0njjgEqIGe7ZbqKqYOFradom+MWLKmMzcP81MpV5Z39erx2CdxtgS5mbzMheCgsL5//fY+/K9I9JfPFWdV4b2NQr8/JhIx/d6iU5RjAyI/P4bgs3r/YQH6Hx2/dC2Vzkob7fTFSYhqpBTLiKqklszr901R6/309DQwM1NYu7al+qcwn4Bs3OzmK1WudF0mduvAPEp76+fsnj9vf387GPfYzR0VEkSeIzn/kMX/7yl5mamuK+++6jp6eHrKwsHn/8caKjoxFC8OUvf5mXXnqJ0NBQfvWrXy31+XxAfGBp4hNwO7bZbOdkYR8MF2Kayu12U1dXR0pKChkZGed0DK/XS319/XnvIrpHJSxGCDPaaGxsIDc3d0HhthAwOgPNfTJtAxIur0SoSSUpbJKrqmOIXUZ1x+2F5j5dezMyLWFUBKWZUJXLktqfAOmZsWsc6ZA50gEOt0RshGBNoX6MU9tpmqbNt1FmZmawWq3Ex8cTHhnH4eMKuxoEDjeUZMK1q2WSYpb+XQkhONSm8cwuPz4/3LhOYUtV8CmXAFwewU+fcdPep3LrFhPXrQ1OFqanp2ltbaNltJj9TYLP3mVldcni5GJg1Mc3fzDJ2nILn7svasn38eY+Gz95bIrP3LeyCa799Xa+9+MhKotD+fpnUrAsUVU6H6iqSkNDA9HR0aSlpc0LpAPf5XJCVS/OeQma2p3sPmJn31HbPAlaWxnG5toIqopDzznby+3R2Fvn5K19dtp7PBgUWFsZSk2hFxNDVFdXLWsd83g13jnk4pVdDiZmNFITDdyy1cracsuS5+bzC94+5OHFXW5cHsGmKhO3bw0hIkz/rheK0hieEDz+pkb/mGBNqcI9VxsX1PO4PDr56RuF+689m/xoAn7/DjR0wfbSQbatPal1HJmGn71iYFOpxtYK7cTx4IcvmlhbqLK5VGXOKfGrt0PYXu4hNkLw7MEQrirxsK/TQkyYSmSYbrVRnOgl/hJVe0Bfq1taWs67On+hcWo1aGpqClVViY6ORlEUkpOTURSF7du3c+TIkSWPNTw8zPDwMDU1NdhsNlatWsUzzzzDr371K2JiYvjGN77BP//zPzM9Pc13v/tdXnrpJX7wgx/w0ksvsX//fr785S+zf//+xV7ig8gKWDy2wuv10tDQQGRkJDU1NRe0TBeIrDhXTE9P09LSclri++U4jwCyEwXj4+M0tLZTUVFxVlXM4YHmXommPpkpm4QiC/KSdaFylGmGwcEhYiOC60OE0B2S67qgtU+v7iRECa6rEZRnLR4AGoBf1TjWr1HXKXF8UEYTUJAKawoFOckLEyZZludvjkIIpmbsvFvnoa5bxavKpMe6uHeLTEHm8lIJR6Y0nnnXT3u/IDtZ4r7tBhKW4Yo7bdP40e/djExpfOxGM2tKg9+4hoeH6e/vZ06Us7/Jx40bLUuSHiEEDz0zh8Ukcf9NS7NPh0vjkednKMk1c/Xa5beoWjpc/PvPh8nNtFx00hMg9UlJqRgtcbR2uBmfNOB0J2AyJuKa8zIyacdT30CIRZCWEktKchzh4eEXvSSvKBKVxVYqi6185kMJOgk6bGPvETvvHLAREaawaXU4m2vDKcy2rOh8LGaZbWvD2LY2jL5hL2/ttbPzgI3dRyA9KQWb6mbzKgXTEi02s0nmug1Wtq8NZX+Dm+ffcfC/j83y9Bt2bt5qZWNVCIYgE4pGg8R16yxsrDTxwi43bx/0cKjFx21bLWxdbUY5JUojQHzSElX+5B6V1w6ovHlQZWBU5cFbTcREnD4pFmKWePBmhZ+/oPLb1/UR9Yrck/9fluCOTTA04WdfRwIbak5q+5KioThd48AxiTWFEGrWp8CSYwR94zKgosj63lwVEnMu/Xkun/4+DUY9qkLTuKSkB3QSfwWIg8+CJEmEhYURFhZGZmbmfDXo0Ucf5Re/+AXp6ekIIRgaGlpymCc5OZnkZD0BOjw8nOLiYgYHB3n22WfZuXMnAB//+MfZunUr3/3ud3n22Wf52Mc+hiRJrFu3jpmZGYaHh+ePcSnxvqr4+P3+BW/8c3NzNDY2kp+ff1G8B2ZnZ+nv76esrGzFz+3v72dwcJCqqqpzGuU9FUII9u7de15W4kIIenp6GB8fp6qqan73LIQe/1DfI9ExJKEJiZQYQUmGRlHqyTH0xQTWM3ZdZNzUqwsRTYYT1Z0cSF7GZJd+DMGBY4K6DoHdrcdRVObo+p+lRtIDcLgF+1t0DY/DDflpsKXcjwU9esHtds+3xBZqo7g8glcPqLxXr2I2wQ1rDWwsl5c1jtw1qPKzZ914fYJP32ahKGvhvUXAPXx2dhZDWDE/eMxFZb6Rz99rDer2HMB7R1z85IlZPnVnBFtrlyZxj700w1Ovz/LdP08mK3V51ZJZm58v/X0vYaEy//S1jPn2y4WCqgnqW+y0dTjp6nPQNziH02Vkxqan3i8HBkUQGS6Ij1FITQohMy2c5EQzKQlm0pLNQW/0Fwo+n8aRFifvHpjjUKMDr0+QHG9k67oItq6NWLHwOzCBOjvnZMaTxWu77fQM+gi3yly3MZwbNocv+3vQNMGRVg/PvWWnZ8hPbJTMrdvC2LxqabH2yITKo686aenyk5ag8IlbQ8lMXvg61jSNpk4fD7/kQ5HhYzcq5KZK8zYTgd+W2yv42Qsq/WPw0WtlynNP/801HJvm8d1RbCyV2LH25N+PzcBPXjZwbbXK2iL9wnirXqG+R+FPb/Xi8cFPXg9lS4kXvyZxuMtIbrLGtEMmKUZDE1Ce4iUm7NISH4fDQU9Pz0WZwL1Y0DSNt956i29+85skJSUxNzfH9u3b2bFjB+vXr1+08tjT08OWLVtoamoiIyODmZkZQL+mo6OjmZmZ4eabb+Yb3/gGmzZtAvSx+e9+97usXr062GE/qPgEw9DQED09PVRWVhIWdv6Cy4VwLpUWTdNobW1FVVVqa2svCPs/352tpmk0NzcjyzKrV69GlmVmnSerO3NOPYm9OkfPvVqolSXL8mntRrcXWvt1wtM/rp9fZoJgfbGgJH3x4M8AVE1wfAAOHxe0D+qLW14K1OQJ8lM5K0IjGMZnBLubBEfaBT4VCtLg6hqZzEQJUIA00tLSUFWVqakpRkZGOHbs2Hz0QmRUDEeOK7y634/DBevKZHasW9y+PwAhBO/V+fn9Wx6iIyT++J4QUoNodALXhqIoxCaV8a+/tpMSr/Dg7UuTHodL49GXbOSmG9myaunx7jm7ykvvzrGuMnTZpAfgoacmcLpU/uEraReU9EzN+Hjt3WleeWeK8Und8C8qXCM1yUpJQQgJsUbiY43Ex5qIjzESGiLj8QrsDhW7U9X/PPHvM3N+RsY9DI242X3YyZt7nPOvYzBAZqqF3MwQcjNCyMm0kJMRckGrVkajzNrKMNZWhuF0qeyrs/P2vjkefX6SR5+fpKwghG3rIlhfHb6kT5AQgra2NgBqqsuRJImr14XT0unhpXfmePK1WZ5/e45ta8O4eWv4kqRKliVWl1pYVWKmod3LM2/a+eXTc7y8y8GHbwynqmhhMTVAUpzCn94fxtE2H4++6uQ7P7dx02YLN222oJxB/mVZpiLfzNceMPLjp1z85FmVj1xvoCJXXyNUVUWSJEwGmU/frPCz51UeeV3j81aJzKSTx0qK9lGUYmdvSzhVebqtBEBCFCRECtoHpXniE2kFvyrh8oKqnajuKIKRGYXIUMHQtEJyrP76Elxy0gPMe4y9nyDLMpmZmRQWFvLkk09is9l46623+O1vf8vu3bv5y7/8ywWfZ7fbueuuu/j+979/lkfeYrmJlxPvK+Jz6geoaRrHjh3D7XbPp5dfLKyU+Hg8Hurr60lISCAzM/OK+OI9Hg91dXV6eTIl/US4qETvmARIZMZrbC7RyE/RfU2CQZZlVFWja1hvZbUP6otPbIRga7mgLEtfmJaDKZvgyHHB0Q6wuSDMIthQLFhdwLKms0Df2R4fhP0tGm19eixFdb7EpjKJxCAaHkVR5sfh9ckiG+/VOdjf7sbhMZMS4+Vj1ynkZSxv4s7jFTz+pof9TX5KcxQ+fpMl6DRWIIA2Li4Oa2Qa3/2VDbNJ4ksfCgsaD3AqnnzNjt2p8fVPRS+rAvXCzjk8XsE9O6KW9V4Aegc97Nw/x23XRJORsrJR2GBoOe7gmVcn2Hd0DlWFyhIr991oxWoapHZ15dIePfFLv4bNodLTP8exjkmOd9kZHHOw+6Cb196dBsCgSORnh1BeZKW0wEppQeiSTsbLRWiIwtXrI7l6fSRjkz527p/j7X1z/ODhUX762BibVodzzYZIChZohWmaRlNTE1br6QMGkiRRmmehNM/CwKiPF96e5Y29Nl7fY2N9VSi3bY8kM2VxMitJEpWFZioK9CiRx16x8R8Pz1CSa+IjN4eTnrQwgZIkiZpiE0XZBh59xcXz77pp7fbz6TusxEaefUNPjJH5s4+E8pOnXTz8ku5KvrVGOU0fpEjwwHWCHz4j88hrKl+5T5mfpNQ0jbX5M/RPhfPcXvjMTScrxHkpgn1tEm6v3iYPC9EJkN0lEdhPmgwwbpOJsgrwCSxGgapBbZZ72d/hhYSmaVdkq2spOByO+QJCeHg4t912G7fddlvQx/t8Pu666y4+8pGPcOeddwKQmJg438IaHh6e78KkpqbS398//9yBgYFl+dddDLyviE8AHo+HhoYGYmNjKSoqugQ9/uUTn9nZWZqamigsLLxoERcrxezsLI2NTcSlldE+Fc1zDRJu34mQzyJBWYa6LLIyY4cjHSaOdpfhPq5PVdXkQVmmWHYry+0VtPZBXaege0R/Tn4K3JgnyE3W5g3VlnxPDsHhY4KDxwQzdrBaYFu1xLoSaVEjwVOh5w1pvLjHwsiUmfQEiXtqNKIts0xMjLNvyENsbOyiaeQ9QyoPveRmYlqwY72RHRtNQas2LpeLhoYGsrOzsYbH8d1f2fB4BV//eAQxC9xMznqtQR9v7ndyzbpQMlOWLqW5PRpv7LGzpjyUtMTlt12eeX0ai1nmzutX5vOzEIQQPPb8OL9+apRwq8Kt18axY2sMkjbJ4OAglZU1F0ysHG5VKC+KprxI19H5/X4mJyfp6B6no9vJ2HQIfSNennzZyeMvjKMoUJQbyuqKcGorw8lKW5k+JxgSYo3ce2Ms9+yIobXTzZt7Ztl10MYbu+dITzZxzcZItq6NICJMOSt3KxjSEo187kNx3HtDFC+9q5Of3UecrC4L4c5rI8ldgqRLkkRNiYWKQjNv73fy1Bt2vvmDSa5dH8qd14QFrUiFWmQevN1Kaa6BR15y8vc/meNjN4WyagEdmjVE4ov3hvDwi26e3ulles7InVfrv4cAAQqTVe7bpvGT5+GJt/18eLuEouhV5BCzxPYaeG4P9I9Bxol5i9wUjT2tBrpHJYrTBWGWE8THLRFy4jQEAqdHJixEJfGEQaFBWTiD8FLg/VjxAb16c6ptwmIQQvDggw9SXFzMV7/61fm/v/XWW3nooYf4xje+wUMPPTRPnG699Vb++7//mw996EPs37+fyMjIy6Lvgfch8QkQi4KCAuLjl7ENvAAwGAzLIj5DQ0P09vZSXV297IvnYmN4eJjm46P0ujex76iCQRbkpwhKMzUy45cOF/X4oO1EK0uvDinEhti5cY2J/FQWrQ4FoGqCjkGo7xK09etREjHhsK1KojpXEGbRF8WlyqKaJmgfgINtenVHE5CbAjvWSJRkLR4ieiqEEDR3a7x+UKV/TBAfJfHxHQYqcgPxF2mkp+stsclJ/Qbd2tpKeHj4vM+MJCm8stfLq/t8RIZJ/Ml9Fgoygv+cZmdn5wXuBlM4//4bO+PTGl++P4y0xKU/RE0TPPTsHBFWmbuuW15L93CzC4dL44Yty5/iUjXB4SY7ayvDCLee347V7dH4/s8H2HVglm3ro/jiJ1IxmyS6u7uZm5ujpqbmou6KDQYDiYmJJCYmsmGtHqo6Pj7O8IiNwVGF4ckwOvr8PPT7UR76/SjxMUZqK3USVFUStqSgeClIkkRJXggleSE8eE887x228ebuOX75+3F+88wE66pCyUocZV1N0rJd4WOiDHz01mhu3x7By7tsvLzLxl/9xwhVRRbuuDaSopzFdYQGReLaDVbWV4Xw+9dsvLbHyb4GNx++MZz1lcGJ37pyMzmpBn72tIP/fdLBtj4/9157tl7IaJD45K0Wot728vZhHwYD3H6VeZ4EKIpCQSZcv9bHy/s0CtJhVYGKx+NBURTKslReOSBzqF2aJz5pcaDIgqFJnfiEniAzLq8+Xg9gd+vHF5LuGu/1SWzMcy3rM70Y+EOo+CyF3bt38+tf/5ry8vL56bXvfOc7fOMb3+Dee+/l5z//OZmZmTz++OMA3Hjjjbz00kvk5eURGhrKL3/5y4v1NpbE+4r4TE5O0tLScsmJhXRixxIMmqbR3t6Oy+Witrb2orbdlgshBB0dHczNzbFxTSVThyRW56sUpYklk8k1DbpHdbJzbEDvp8eEC7aUCUozVdqbWynOWLfk6w9OwNFOQXOPHmkRatadlStzJdJOFMNUdWnSM+cQHDqluhMWApsrdJfluMjl79A1IWjo0AnP8KQgNgLuvdpAbZG84MivoigkJCSQkJCAEIK5uTnGx8c52DDKwc4UJm0WVhVKfOj60EXND8fGxuju7qaqqgohmfn339gZGlf5wj1hFGUtrxJzqNlDZ7+PP7o7ctnBl0dbXYRbZYqyl7/t7ehxY3NorCpbZr8yCNweja9/p5OuPjefujeJO3foX3hbWxtCCCoqKi7pjliSJCIiIoiIiCA3NxePxzMfozEy7mJ4MoKufoW39szw0ttThFhkVleEs2FVBLWV4efdEgsNUbhuUxTXbYqid9DDSzsneWe/jV2+MHYe8bLjqhmuXh+xbIPEMKvCPTdEcdPWCF7fbeOFnXP83Q9GqSi0cO+OKPIzF//Ow0JlPnF7JFtWhfLQs7P872OzvHPQxafuiCAxbuH1KyFG4eufCOept1y8vs9D/4ifz94VRlT46ecsSxJ3bjPh8wveOOAjMUZmffnp1/n21QaOD/h4ca8gOdLG5OQkpaWlGBSNkkyJxm64frVKiFlGkWXiI2FU71iinRC/SxJM2iRAMOuUMZs04iIEmgZWs7bkOncx8X6t+DgcjmV7323atCloksKbb7551t9JksQPf/jD8zq/C4XLf4deAaKjo1mzZs0lZ9LLGaOPjo6msLDworfdAiRssR9VIPg0NDR0frT/3k2LC/yEgOFpaO7RfXccbgmLSVCRDRVZgpRYfaERQl6UBNqcgvouONohGJ8FowJF6bpZYF4K8+JIIQR+vz9oUGJA8HxmdefGtTLFmawoRsDlERxsVdndqDE+I0iIkrj/WgPVBfJZYs1gkCQJ2RjB/g4zexv9RFjh9o12YixDNNT55ltip+ZPBVy6JycnqampweNT+K9H7QyMqnz+Hivl+ctbmVVV8OTrNlITDGysXv5kYEuHm7L8lYVjHml2IEtQVXx+G4vnXp+gs9fNX30xg42rI1FVlcbGRiIiIsjOzr7sujez2UxqaiqpqamUa9q8Z9DY+Bwjk6F0DZipb7Wz68AsJqPEqopwtq2LYk1VOMZzNC4MID5apTq3jzuuKaCpQ+HVXTP85HdjPPr8BDdtjWbH1qhlC8pDLTK3bY/khs3hvLbbzrNvzvI33x+hpiSEe26IJCd9cQKUk27k774Qy86DLh572cZf/ecEd14Txg2brAtuBgyKxL3XhpKdYuBXzzv49s/n+PKHw8+qWkqSxD3bzYzPCH73moe4KJn89JOPkSWJe7YZ+O4jXl7d7+XB26vnW55rilXqOqG5R6I6T0VVVWLCYXBC1wy5vPpxQkyC48MK0VbB4KRCqEVfJ7x+iU15l0fbE8D7teLjdDqxWs9v0/N+wPuK+JzqI3ElwGaz0djYSF5e3kUZo18IgamqYMQnEHyamZm5rPK5y6OPn9d1wtjsCc+eFF23k5dyditroRuWx6e3sBq6BB1DOolKj4fb1kuUZoHFdPI5pzoxn1nlEULo/j/HBfWd+ii61aInpdcWray6AzA6pfFeg8qhNg2PD7KSJHbcoLe0VkIGfH7B7gYfL76nj89eU2vkhg0mLKYwIGleS9Lf339a/tTExAQA1dXVTM8Jvv9bGxMzGp+720plwfJ1Le8ddTE8rvKlj0Yt+7zHp/xMzqgU5axM5NA/7CU5wUjYebS57A6VJ1+eYHVFOBtXR8579KSkpFw2MeNikGV5PuW6oEDgdDoZHx9nW+0cvUPQNWil4ZidvYfnCLMqbK6N5OqNURTnha6YwAVytwJJ80mJsH1DBK0dLp5+fZrfvTjJU69Ncc3GSG67JnrZI/Fmk8wt2yK4dkMYL++y8fzbc/zlv4+wtiKUD90URUpC8OPIssTVa0OpLjbz8LNzPPaKnX0Nbj59V2RQLVltqYnkOJn/fNTOvzxs46sfDTtr5F1RJB681cK/PeLkp8+4+PoDocRFnVy3/K5RsuOgeyIOt89IQOqVlSQTG6FxbEBhbYkBTdMIs+hVY7/fj82hP85k0BiZlkmO0RiZlYmP1T3DUqJ8XO5iy1Kb0ysVdrv9gqQdXOl4XxGfy71LPBWBWIyKioqLNka/EAJC64XaaVNTU7S2ti4ZfCqE3sqq79JbWaomkRwj2LFaUJKxXINBneQ0ntDt+FR9mmtTKVTnLUxSgpGeiVlBQ6fu3TM+q5OtogyozpMpSF9Zdcfj09tZh9pUjg/oqfI1BTKbKhXSE1a2EKmqYF+Tn1f2eZmeExRkKNyz3Uxy3OnHOVVLIoSY/x40TSMsLIzDDcP87q1Q/KrEVz4aRkHG8mvwbo/Gk6/ZyUkzsqpk+SSmtVPf8S6l+TgT41M+4mPOr0fw7GsT2B0qH7srEZfLRX19PXl5eVeM2H8xSJKE1WrFarWSlZVFtc/H5OQko2PjNLa5aOsO4c3dU7y8c4rkBBPXbo7mmk3RxEYv/ZkFcrcqKytPa9VLkkRJfigl+aH0D3t45vVpXts1wyvvznDVmgjuuj6G1GUmulvMMndcE8n1m8J5ceccz789x8EmJzs2h3PPDVGLjtVHRyh86aNRHGr28PCzc/z9jyb51B2RbKxZeOIuLdHAX3winH992M6//8bOnz0QRkbS6etSqEXic3eG8L1fO/nVC26+cn8IiiwxMDDA2NgYd19bwfd+q7LzqMqtmwzzn0davETv6MmsMINBN5UzmUzMufT34PIIPH4JnwrREfq64VOhJNm3rM/qYiLYGn2lw+FwLFtv9n7G+++buYwI9DMD2pna2tqLkhq9GM700Qmgv7+foaEhVq1aFdQoccYO9d16EvqcU29lVedCVY4gcRmG0pom6B6FptFs3nlC4Dqh26nKg4psifQEgk40nUl67C6o69A42iEYntQfk52ka3fKspcODD3r/Y9q7G5SqT+uV3diI2DHOoV1pcqyp7wCUDXBgWY/r+z1MjkryEqWuf96M0WZypLk2+Px0NnZSW5uLsnJyeyps/HIKz6Mip8dqwZRfOHMzsad1hJbDM/vdDBj0/jSR6NWRPzbez2EmCUykld2fY5P+clOPz+jzYY2B0W5ISTE+Kmra6KkpGRRIn4lw2g0kpSURFJSEhXleqjqwOA4ew7N0tCu8fCTo/zm6VFqK8O5fksMqyvCF2wRBXK3ljIyTU828ycfS+LDt8Ty7OvTvPbeLDv3z7G+Ooy7d8SSnbY88htqkbnnhiiu3RjO4y/N8NK7NvbUOfnE7dGsqwreypAkidoyC0XZJv77tzP8+IlZ+kZ83Hv9wu8rLkrhzx4I418etvEfv7Hz5x8LJzXh9GphfLTMfdea+dULHt6r85EVO8zU1BSVlZUoikJNgWBPo8q1tSfH2xOjob5Tt4owmySE0D15FEVhxiFjNQsm7GYkBFMOhcxkXZuYH+dCCBVNW7iFfqnwfm51XcqN/OXCB8RnmZAkCZ/PR1NTE2FhYRc8FmO5OHO0XtM02tra8Pv9rF69+qwfm8+vT2XVdwemsgQ5SbC9SlCwzKmsiVnB0U5BfSfMOUGR4ijNgvKc03U7wRDw8fD4NNr7JY52aLT36/34tHi4aZ1Odpbr3ROA0y04elzjQIs+nWUyQlWezJpiheyUlRtn+fyC/U1+Xj+gE570RJl7rzFTkr004YGTbYyioiLCI6J47DUnb+z3k51q4HN3RxEeEnVaSywyMpL4+HhiYmIWXCTHpvy8vMvBxmoLeRkrG/nu7PWSm7F0UOWZMBgkPN7zayfP2fwkxEo0NzefVd14P0OSJKKiooiKiqKsVLcnaD42ypvvzXK4eZb9R21ER8js2BbLjm2xxETppHNoaIjBwUFqamqWvVGKizby4L0J3HVDDM+/Nc3L78yy54idtVVhfOimWLKWSYCiwhU+c18s29aF8bMnpviPhyZYc9TJg3fFLBpUG26V+dqnovntizZe3uWkf8TPH384CmvI2WQiPlrhzx8I518etvFvv7bxtY+Hkxx3+rFXFRnY0+DnuXfd3LfJxuqaynlisqlC4fAxjeZujdVF+vMSovW1amwG0hP0ak/gJzhpk4iJgJ4xhcgwiIzQSZFfg5wEFVU93TwxUDW6lHg/i5s/0Ph8gHlIksTBgwfJycm5bN4DEDAQ1IlPQDsRGxt7lmB0cAKOnsjK8vr1JPYtZYLKbIhYxnXtdAuaevQR9P5xPVMnLxVuqJWYHjjE5k3rl3W+Pr9Ga6+fxi5o7QWvXxARqld2avKlEwvc8qFqgmN9GgdbNZq69PTl5FiJO7YYWF0kr7hSBCdS2+t9vHXIx6xdkJksc9fVZspzl0d4QN/Rd3Z2UlFRgdsfwr8+bKNzQGX7GjN3XxMY+5XnqweapjE7Ozv/PLPZPG+qaDab0TTBz5+cw2CQuOf6lfXcfX5B77CXm7cuI0X2DORlmDnec37CULfHh9Pppabmwnn0XIkICQlhdVUWq6vA4/Hz9p5hXnt3lt8+O87vnh+jptTMhmqZ+Cj7OY/uR0UYeOD2eO64VidAL7w1w/46O+trwrjvxlgyU5dHgPIzzXznK0m8sHOOJ16Z4asdbj5+ezRbVluDXuMGReJjt0aQkWzgoROtr699Moa46LPfR0KMwp99NJzvPWzjvx+z880/ijhN2wdQmzfC8f44uqbyWHMKKUhPkAgxQ8fgSeITfaLoMHfCjNvn1zdpmqbHWBSmC44Py0SF61VnVYMNeR6MRiNGo3E+XT6w6Qr8u6IoQQcqLiTerxWflYyzv5/xviI+l0vjMz4+jt1up6qq6rLrFAIC76WE1Qfa4fgQFKdDZbYgPX5pg0GfKmjv18nO8UF9MUmIgutWSVTmMN8y2jO0eJiSXxV0DGo0dGg09QjcXj1csCpPoiJHIjuZFVUiNE3QMyyo79SoO65ic+qi5w3lCrXFMqlx52aLPjat8V6dj31NPpxuyE9XeGCHkcJltLRORX9/P6Ojo1RVV7O3QfDkW7MAfOZOK7WlC9/4ZVkmOjp6PrTW4XAwMTFBY2MjmqbROZpEa5eJT90ZQUzkyhZQl1tDVVnx8wDys0PYX+/A5lBX7OMTmGKLCvMzYw+95G3gywmz2cAN29K5YVs6gyNunn1tlLd2z3KoUSIhVubank6u35pITPTyWpxnIsyq8OFb4rj56mief3OaF96eYd9RO5tXh/PhW2JJil+aYCqKxG3bI1ldFsr//m6S//ntJPvqnHz2Q7FEhQf/rrfWhpIUZ+D7D0/z9z+a5M8/Gb1gCzUpTuGzd1n5t4ftPPG6kwdu0ndYQgiOHTtGVKhgU6WR3fV+rl2rzTtAy7JEbopMx8DJSmNIwKvHIwAJh1u3sRib1QXM+vMg/kSL3iBDzCn361OrPAuly1/satD7Wdz8AfG5AiFJUlDvgAuNQJDk5OQksbGx5x0yeiEgyzKTk5OMjY0tKqzeXgU31S6dlaVpgp5RaOgWtPSA2wfhIbC2CKpyJRKjFyacAe+dAFRN0DGgt55aejXcXj1luSQLKnNl8lKXbomddl5C0DUoqO9QaejUsDn1HV9xpszqIpniLHlFoudTz7OxQ2VXnY9jvSqyDJV5CltXmchNW/mNvr29Ha/XS3J6Bf/5qIeOfj8lOQYeuCmUuKjlHy8gqM3MzGRgxM2Pn58mK9mDyVdPa2sU8fHxREdHL2sXGZCAreTzDqAgS7/Gj/e4qSldfsk7cHNTVZUbr0nn+z8f5HCjndUVf/gTImciJdHMtlonm6qNDE8l8tzrEzzynIdnXu+lutjH1etDyMkK3uJcDOFWhftv1QnQs29M8cJbM+w5YuO6zVHcsyOGqIill/TURCPf+pNEXt5l49EXpvna94b43IdiWVUavCVZlG3ibz4bw7/+appv/3iKrz8YTW762WSrMNPIdevNvLrXQ2WBifI8A62trRgMBvLz80lKE+yu97O73setW05Wq/LSJZq6YWpOEBMhnUJ89D+nbPrwhN6uh4k5mdgIMBr0ivY1JcGrlKeaJwLz1aDAn4EK+pnBqueD92ury+l0fjDV9X8Zfr+fpqYmzGYzq1atoqWlZcVBpRcaARM9n89HbW3tom2EiCVkFeMzgsPHBY3dek6WyQDFGbq5YE7S4hWZU0fqB8Z1slPXoWF3QYgJSrMkSjIFeakSphV4ngghGBgX1B3XONquMmPXF7biTJnKPJ3snFk+X+5x+0Y1Drf6OdTqZ84hiA6XuHmTifXlBiLDVr5AqapKU1MTsiGMttF03nregcko8clbQ1lfYTrn6qTLo/HD39kxGWX+9ONpRIWnMzMzw/j4OMePHyc0NJS4uDji4+ODfv/qCYc3+Rwq7XmZFgwKNLQ5l018VFWlubmZ0NBQCgsLKVAFjzw9xhMvjv+fIz6n5m4VFeVQIUlctyWahjYHz742we6jNvbWq9SUjFFT3EV6smn++1zJxioiTOGB2+O5aWs0j700ySvvzvDW3lnu2RHLbddELyhEPhWyLHHTVRFUFFj4r99M8L2fjXPdxjA+fntM0FT7tCQj3/xcLN/5yRT/+stp/vbzsSTHn30LuW1rCE2dfn71vIMPbRkkNtoyn0EWHS5RmKlwuM3PLZtP/k6yk2VApX9MIyZCQZxiUujzw8Qs5KdC+6BMTLhg1qVQEK/rBGND1fnoiuVgqWqQ3+8/75bY+7nV9YHG5/8oAl44GRkZ874j55LQfiERuNGqqkp2dvY5aSc8Pt1F+UiHoG9M1+0UpEFFjkRBGpiCLHinQgiBzRPKKwdUGrtVpub09PTiTInqfJn8VA1FBkmSl33zH57UTpAdjYlZgSxDYbrMLRtlSrJlzMZzIxFTsxp7m3wcavEzPqOPtpfkKKwvN1Kao5xTRQT0ya3DRxrpm05nT5MZt8fDugoTd28PIeIcSFQAmib4yROzDI35+dqnoudbVTExMcTExCCEmG+J1dfXA8zfNK3Wk1qN86n4hFhkVpeH8equGW69JpqYyMWXCJ/PR319PUlJSaSlpQF6bMHt18fx00eHqWuxU1Xyh186B4LmbkmSRGVxGJXFYQyNenj2tUle3zXFwcZQaspCuarWx+hoM6rqJzY2lri4uKDZcGciJsrA5+9P5LZronnoqXF+/cwEe4/a+OIDScvS/6Qnm/jOV5J59MVpXtxpY2DUx9ceTAjqDh4bpfD1B6P51v9M8v1f6+TnTMGz0SDxqVtD+Mef2zjUEcsXPpR02v9fVWzgNy976BnWyE7Rr/HAYIPthKZn9oRXT0QoDEzo0RQxYYJDHRKpcWAN01tdbq/EutJzH19frBoU+PdT//9yidD7teLzgcbnCsXFbnVNTk7S1tZGaWkpUVFR839/OYmP2+2mrq6O1NRUIiMjV/T+A6aAR05Ud7x+iIvQdTtVuRAWsryb4+i0oKFTo6FTY3S6CFkS5KXKbK+RKc2WCTHpOyVYenHQhKB/VM/LauzSGJ3SM8Py0ySuXmWgPEfGuszzOhNOt6Cu3c/hVj/tffr3lZ+hcO1aA1UFhqCp6cvF+KSNZ98YpGUgB5tTojLfwB1Xh5w1wnsueOoNO4ebPdx/UzhleWfftCRJIiwsjLCwMLKysvB6vUxMTNDZ2YnT6SQ6Opr4+Hg8Pn3hOpdWIMADd8RxqNHOI89O8CcfSwr6OLfbTX19PdnZ2WfpzG7YGsOLb03y7z/p51+/mUtC7B+uyBl0AlhXV0daWtqiww8piWY+/0AKH7kjgRffnOS5NyY50qRSmBPJ3TfGEh7uPS0bLi4ujtjY2CX1UikJJv7yc6nsPmzjJ78b48//uY97b4zhjutilrwOjAaJj90WQ3aaiR/9dpK//+Eof/XZhKDu0YmxBr700Wi++7Mp/ufRGb768dMrTKqqMjHcyKqCNI4eNzNj006LtajMN/C71zwcbvXPEx/TiTuR16+vbTN2/b+jwiQ6hkGSBLMuGRBM2RUyUmU8PkFJiveCmhWeWQ06lQAF2vvLaYm9Xys+fr8fs/kyJbteQrzviM/FQkCYOTo6uqAXzuUiPjMzMzQ3N1NcXExMTAx9fX3LOg+7S4+OOHL8RHSEAcqyoCZfIiN+eULxiVm9jaWTHYEEZCVLrMoc4uq1icTH6D8QVVXx+892Yj4VAQ1QY6dKU7fGnEOvOOWkSmwsN1CZJ6/YbycAj1fQ0OHncJuf1m4VVYP4KIkbNhhZX2ZcVvL5UhieUHl51yyHWgU+NZH8DAOf3xZC/iLBpCvBM2/aee5tB1etDuH6jcsb/zaZTKSkpJCSkoJ2InZhfHycts5uIB6nYxqv17ji6mBKgombr47mmden2XFVFHmZZ7dgAqP7xcXFp20QArCYZf7qixn8xXe6+OvvdfPdv8yZH+/+Q0OAAObk5Cw7ODkizMCHb0vkzh3xvPHeNE++PM63/3uA7HQLH7o1jfVrwrHbbUxMTNDX14eiKPOxKKGhwR2jN64Kp6wghJ89Ns5vn5tkf52dP/1kMmnLMEDcvCqMsBCFf//VOH/7XyP8zecTiYte+Pouyjbx8dsj+MVTc/zuZRsfuVmfIPT7/dTX15OcnMwdWbEcPjbHzkMebt920gQxxCyRl67QMXByHQvwOu+J4s20XSdAUWHQMwrJ0dDWr7fKrGESigyaCvlJF8/Jf6GW2JlkKJhA+v0qbv6/gg+ID/qNu6WlRTfvqq1d8IK9HMRnobR3RVHw+RYu7aqa7qZ85Ljg2Ck+ObetlyjLZlktI6dHr+wcPqbRO6qTnexkids2KZRly0RaJerqZgg1xy8aPxE4n84TAuXGTl0DZDJCUYZMWY6u2bGeYwVmxq7R3KnS1OWnrUfF54eocImtq4ysKjKQnrj8Vlsw+PyCpg4f7xzx0NzpR5ZgdYmRa9bpWUUXAkIInnrDzrNvOdhUY+GTd5zb1M+psQuhkR4efWMEm9033xILjMovdtM8FffsiGHn/jl+8rsxvv1n6RhPaYNOTU3R3t5ORUXFonqA7PQQ/t9Xs/jmv/bwN//SzXf+ImdZ4tv3ExwOB42NjRQWFs5P6K0EZpPMTVfHcv2WGN7ZP8Njz4/xTz/sIzfTwmc/kkJpQe5poarHjx/H7XYTHR1NXFwc0dHRZ61XkeEG/uzTyWyoCeNHvx3lz77Tyyfvjuf6zUu3z6pLQvjrzyXw3Z+O8bf/NcLffiGRpPiFCevW2lAGRvy8uttJZZGZwkyZuro60tPTSUrSK4UVBUbeOeLhxk0WTKesP7GREv2jp/qR6X8qJ97K2LS+Vsiy3uoqy5JoH5IIs8qEW2U0DbYUXLo8rpUKpN+PxEcIcckGhy43/rBWoXNAYLeWnJxMenp60IXhUhKfwLSQ0+k8K+1dURTc7rN/8K19ghf2CWwufdR7XbFe3UmIWvom51cFrb2Co8dVWnuFPsYeDTvWKtTky0SeYSwY8BJaiPQEKjsBsuNw6wtYSZZM1QmBsnEZWqKFMD6tceSYn7p2P/2j+koZEyGxvlwnO9mpclDn6JVgcExl11EPexu8ON2CsBCNtYVz3HV9GtGRF65q4VcFv3vJxmt7nFy1OoRP3hGxYsPBhZCWaCLELDHtjOCu2uwFb5rx8fFERUUFXZxDQxQ+fW8C//qzYf7rVyP86aeSUGSJkZER+vr6qK6uXlZJvCTfyt9+OZP/9x89/Om3OvibP8kkL2vhCIT3G+bm5mhubp7P3TofGAwS2zdGs3V9FO/sm+Hh34/y9e90cc2maD55bxJRESdDVU+t7rW3t88L3uPi4k77TtbXhFOYG8IPHhrhx4+OcaTJwR8/kEhk+OLLflGOhb/7YhL/+KNR/uFHo3zrT5KCVn7uvSGcwy1uHnt5jpvXdJOTk31a1evatWbq230cbPayserkuUWHyzhc4PUJTEYJz4m9nPlEYWp4UpASAx1DEkJIOD0SFrNEwom4GItBI+Yy6uYXE0gHyJDf778s5onniyspGupi4X1HfC7klzI9PU1LS8t8G2kxKIqCx+O5YK8dDIFScUREBFVVVWe932CRFRGhkBwLN+frQuWlhK2a0L1xAq0sl1f3ydhQJlOdv7g3jizL+P3+edLj9UFbn0pzlz7K7jxBdkqz9Gmsokz5tN3eciGEYGBMo+G4n4YOlcFx/X1np8jcusVEWY5Cctz5V3YAHC6NunYf7x310NGvoshQXWggJWqYvDQoKsy/oNfe1KzKDx+d4Xivj+s3hvLhG8MvCOkBfWInM8VE/5B+Nzk1iVxVVaanpxkdHeXYsWNYrVbi4+OJi4s7S0eycVU441M+HnpqAmuozA0bXExNTVFTU7OiHKLKkjC+99e5fPu/evnatzv50idT2bZh5dWRKwnBcrfOF4oscfWGaDasiuR3z43x1Cvj7D0yy8fvTuKGrTEosnRade9UwXvAAyrQEgsPDycm0sA3v5jKiztnePjpCb7yj7389RdSyV2gfXkqslJN/M3nE/nWf4/wr78Y5++/lLTgb9hklLh1q4VfPuPE5s8+q9VXkGkgKlyipdt/BvHRjzVtEyTGSHi8+t+bjRKapsfYrCqUaOuH8BDBwKRMdKSE2SiharC94uKvxcvFqdUgTdNoaGggJSUFSZLmCVDg/18K88Rzhd/vf1/mi50L/m+8ywUwMDDAwMAANTU1hIQsvQO9FBUfh8MxrxUIlIqXex6pcRIf3b50dMTI1Mnx8xm7Liosy5GpyZfJTZWWFT8RERFBfWMb054UBmdi6Bk14Fch1AIlmTJluSfIzjlUdnx+QceASmOHSmOHn2mbLnzOSZG5Y6uJ6kIDMREXZuGYc2jUHfNxpM1LW7dfr3TFyNx9TQiriyW6OxpJTEwkPT39grxeAI3tHv738Rl8PvjChyNZV3HhKyCpiUYONDrP+ntFUearA0II7HY7Y2NjHD16FFmW50lQoIV1+7UxzNlVnn5tGrdT5UufqjqnhTs/K4Tv/788/umHffzrTwY43uPiE3cnYTJdmTeBxRDI3Vpu1etcYDHLfOKeJK7eEMX//HqI/3l4iDffm+ZLn0ojK+0kaTlT8O47Eara19c3H4sSFxfHji0xlBeE8k//O8jffn+Ab/5JKkU5i193WakmvviROL7383F+9dQUn7kv9qzHuFwuzFoLyfHZvLIHtq4Vp43DS5JEZrKB/hH/ac8LDBm4vXprxenW/wwxwci0PoQRHwVv1kFyrMy0UyYhVm8zZUT7MF6BumFN02hsbCQ6OprMzMz5v1toXD5QCbqSSND/lVF2+D9IfALZVgEvnOUq7y828QlMk5WXlxMRETxqIFjFZzG4PCcyrVo1hib1cfGCNIkda2VKs5ZfjXG6/DR1q9R3xNPWG4dfhXCLj+y4UXKTPJTmhpGQEIdxhavSxIxGU6ef1h6V4/0qXt8J/54shRs3GijLNZyz8PlUCCEYGtdo7fZxtM3H8X4/QughitesNVNdZCInVcHpdM67Yl9Ip+7JGZXHX7Gxt95NaqKBL30kakEflAuBlEQjtn0ac3Y16HSOJEmEh4cTHh5Obm4ubrebiYkJ2tvb8Xg8xMTEEBsbS2XOMINlFt45rGAOGefT9yWcU7syKsLAt7+WzU8fHebZ1yY5WG/jix9PpfJ9NO5+Lrlb54OMVAv/9BfZ7Nw7w08eHebLf9fBPTfHc9/N8RgX8Mg6NVRVCDEfi9Ld3Y3RaOQLH4rlfx+Hb/3XAH/9hVTKChavVq0qC+X2ayJ45o05ygosbKg+eWMM6JtKS4qxRlv4t4em2X3UxVW1px8zI0mhod03HzgKzE9iiRNL2cC4TnwSYySOdghkSXdoVjWJGYdEfKyMooDPB6tzTidRVwIClZ5TSQ9cHvPEc4Xdbv+A+FypOJ92g8fjob6+nvj4eIqLi1d0rItFfIQQ9PX1MTIywurVq5fcQS73PIQQ9I4I9rdqNHRp+Px6Vej2TQqVucsfF/f6BM3dKkfb/bT06MeJsML6MoXqfJnMJBNgxW63Mz4+ztGjR1EUZV5Mu1A1TQjB0IRGY4dKXbufgTF99YuPklhXZqQ4S6EwUzmn9tiZ0DRBR7+fI20+6o75mJzVXyslXuamTRZqioykJZ6MqJienqatre2C6DYC8HgFL75r56V3HQgBt26zcsvWsPmbwMVAIFLgWLeH2vLltWIsFgtpaWmkpaWhqipjY2M0NzcjhOCmzbFER4bx6nuz9A97+fpnks9JqGwwSHz+gRTWVYfzw4eH+KvvdbN9YxQPfih5Se3J5UZvb+98q+9SjipLksS2DdHUlIfz098O8+izY7x3cJYvfyqV4rzFk9YDoaqgV2cmJib48PXTPPy8iW/91wB/+vFI1q+KX/SGe+8NUTS1u/nFk1OU5VuICFOw2+00NjbO/04qIgQJMQqHWzwLEh8B9I+q5KWf/h0HpLQ9IxqhFoiLgoZOQU4K1HXqYaQ+TSYyQhc0r825clpcAQRIT0xMzGn+TQthOVEal4sE/V/x8IH3IfE5V8zOztLU1ERhYeE57eIvBvHRNI2WlhaEEEGnyc7EqSGlC8HhFhxp19jfqjI2rcdG1BTIrC2WSYtf3g/J7dHJTn2HSmuPitev63/WFMtU5evJ52eKiAOVg5ycHNxuN+Pj47S2tuLz+XRDtqh4hqdDaOlWaepSmZ7Tl7xAC6siz0B89AVqYdk1Wnv8tHb7aGj3YXMKDAqU5Bi5abOFkmwDsQvESQwPD9Pf3091dfUFiSeZs2vsOuzk9b1OpmY11lZYuO+G8AVDHi80SvMsRIbLvHPQvmzicyp8Ph/9/f0UFhaSkJDA3NwcoaHjmBU7L+0WfPXbXfz5pxMpyY88p/OrLgvnh/+Yz++eG+PJl8c5WG/jI7cnsmNbzJKuw5caQgg6OztxuVxUVlZetl15ZLiBP/9sOlvXR/HfDw3y9W938eHbEvjQrQnL0oeFhISQnp5Oeno6ZaVevvkfffzXr2cYHekjP8sy7xl0pv2Bokh87kOx/MW/DfPrZ6d54BYTzc3Np031SZJEeYGZ94648PtPb3clxOjX+/TcyUr1nEP//Qd8xLqHBFlJMv1jEtN2QUm2xOEOiYgwmZREBVkChEZa7MUbXz8XrIT0nImLZZ54rviA+PyBITAWXlVVdc6lvAtNfLxeL3V1dSQkJJCZmbns6lNAQHcqhBB0D+vVncYuDb8KGQkS92yVqchdnvOxz6+TnYOtKm29Kn5VF0yvLpYpz5HIS5VRlOX98CwWC+np6VjCUmnu8vL8fjfdw6BqHgyKRl6q4Pq1IZTnnVtcxJlwugXtvT7aTpCdoRMi6FCLRFmugeoiE2W5RixBktsDmWyzs7MrFu4udKz2Hh9v7XdysMmNX4WibCOf/1AUhVmXzsRPUSQ2rbLyyi7bou2uhWC32+c3CYER7cjISCIjI8nLg3Wr5/jeT0f55vdH2FDRzU1XhZKUlLBst+EAzCaZj9+dxFXrovjxI0P86DdDvPDWJA/el8TqivArYrpECEFrayuyLFNWVnZFnNPqinD+5x/z+dGvh3jkmTH6hzx89Y/SFmx9BUNMlIl/+GoWf/Uv/Tz9TjTfLI3F5ZoO6gienmxix+YIXnxnjtyEbq7aVHVWNbcs38Sb+5x09Pkoyjl5rQf0PA73yVHp4QkNgwIxkRLjM4LxGcHGCpmDbQKTEQYnZcJCAEnGaJTwq3DjFSRoBp2oBJy6L4QOcDHzRLj41SC73X5BhfpXMt53xGclC89iY+ErxYUkPjabjYaGBgoKCpZteBbAqRUfh1tw+JjGgVaVsRmwmGBNkczaEpnk2KV/GEIIuoY0Drb6qWtXcXkh0iqxscJAZa5MeoIuLF7MmPDM4w2MadQf1483MqkTkLhII5urDBRny8SH25iaHGN6epreruATRYtBE4L+EZXmTh/NXX46+3VhsskAeRkG1pWbKc42kJGkLLkT1jSN1tZWFEU55928pgm6B300tnvZ3+hmcNRPqEXi6rWhbFsbSmrC5fmZXVUbxos7bew+4mDHluC6sVMRaPWVl5cH3f0V50fwn39r5aePjfHeIYneUYXbrhok1NRKRETEfOVgub+3rDQL3/l6NvvrbPz8d8P8v//opbo0jE/dl0ROxuUbfT81dyuQNXWlIDRE4at/pAudf/H4CNNzfr75pUysocsnuDGRBv7uy6n8xXf7+PHv5vjnr2eTk5Mz7wje1dWFw+EgKkoPyd1QqfHyLkHXeCY3LNDCLskxIUnQ0uk5jfgErGFO/SkOTWgkxcooskRLj67ZyU2Ref2wID9NontMwhoikxBnQAiJpHAflivI/1JVVRoaGi4Y6TkTwcwTTyVBFzpd/oOKzx8AAhlCUVFRC46FrxQXiviMjo7S2dl5ztWnQMVnZ53Kawf1ykxGol7dqcxdnlB5fEYnO4daVSbnBCYDVOYrrC4yUJAuI0RwU8IzoaqCzkF9Cquhw8/k7In4iXSFTZUmSnIMxEedepwYEuJj5ieKlqsLmprTRcnNnT5au/3Ynfpqmp6ocO06M2W5RnLSDCsS3fp8vvnFKyMjY0XXiKYJ2rq97G9wc6jZg82hIUmQm27kwbsiWFcRclE1PMtBZoqJrFQj7x5aHvEZGxuju7t7Wa2+iDCFP3tQN8n78aNj/O8TRu68Pp/teQpzs5P09PRgNBrnie1Sk5OSJLGuOoJV5WG89NYUv312jC/9XQdXrY3ko3cmkZxwaSMv/H7/adfGlQhJkrjrxniiowx8/+cD/PW/dPMPf55NuHX55Cc53sQffzSJf/7xEE+8PMn9t8Sd5Qg+MzNDX18fk5OTlGansbdO4v6bnERFnl4dCLHIxEcrDI2fvk76TsRQGE6cVmDIoDhL/4uWbo3EGIneUfCr4PTJhFokQkIUTEb9t7ah4NzzuC40LjbpOROntsSMRuNpERoXUiDtdDo/ID7vZ9hsNhobG8nNzSUxMfGCHPN8iU9AJzAzM0Ntbe05T4QEKj5xkRKrCmXWl8ikxC19odtdgqPtOtnpGdGQgPwMmR3rjVTkKphN0pJOzAE4XIKWbj+NnSqt3X5cHn1RK8xUuGH98qawTp0oWkgXZLTEM+GIoX/MQEe/ysSMXj2KsEqU5RopzTVQkm0851BQl8tFQ0PDgjlTC0EIwciEyrEeL8e6vTR1eJm1aZiMEtXFZqqLzJTlm88rpPRiYEttGA8/M83RFhfVJcHJR39/P2NjYyueVlpfHU5pfig/f3yMx1+a4u19Bj55VyLr1uSe9Z0G/GUiIoK7UxsNMrddF8f2jdE8+fI4z742wa6Ds+zYGsN9tyRcktgLr9dLfX39krlbVwqu3hBNWKjCt/+7j7/6bhf/+LXsFQnF11aFsaU2nGdem+bqdREkxZ8kmbIs4/P58Pl8bNmyhZgkBw0/m+W517oozHCc9Z0mxCpMTJ++Tk6d0PZEn7ChmJwVzDkEGUkyNqegY1BwdY3CnmZBQrTE2IyExSITG6MAEjVZbq6UYlsgiDYhIWE+lPdSYzkC6XOpBn0wzn4FY6ldeaCiUlFRcUHZqyzL52znraoqjY2NWCwWVq1adV7Vp8CFXJYtU5a9+EXt8wuaulQOtam09KhoGiTHSdy6yciqIoWoU27SS5GeGZvG0WN+6o/76RrU0ASEh0pUFRgoyzFQlKWcV4VDks3MeZPonIql8biP4QkNEFhMLtLi/awtMVFTEkF6kuG8q3ezs7O0tLRQUlJCZOTC4lxNEwyM+mnv8dLW7eNYj050AMKtMkXZRtaUW6gqMmO+gr1ort8Yzht7bPziySn+NS/5rHMVQtDR0YHL5aK6uvqcdosRYQpf+VQy126K5GePj/G9nw5TURjKp++LJyMjg4yMDPx+P5OTk/T395/mLxMbG7vghFSYVeHjdydx8/ZYHn12jJfenuL1XdPcem0cd+6IIyLs4ixd55K7dSVgTVUEf/vlTP7xv3r5y+928Z2vrywe5GN3xnGgwc4vfj/OX30+df7vh4aGGBoaorq6GoPBQFVJJOFWG041iVWropicnGRgYIC5uTnCw8ORicPlOf37DExSxp7IzAtkdOWnK9Qd1xACoiMkJuf0aUuLkIiJVjAoEhIaeYlXhqD5SiA9ZyKYQPrUapAQYlnmiXa7fUkj3z8UvO+ITzAEFvDZ2dnzqqhcaLhcrvnd46X6sUzMauxu8LO/2Y/Dret2tlYbWF1kIHWBya7AjySQPhwgFnN2jaPtfo60+ekcPDEGHidz3TojZTkGMpLPPSLC5xd0Dvg51uOnrcdP96Cu01Fk3e11U7XevkqMYd6LZLCnnZnxc9MFBRBo51RVnS7OdHs0Ovt9HO/10d7jpaPfh9ujE92YSJnSXBOF2SYKs0wkxytXlN5jMRgMEg/eHcs//M8oT78xy4duPOmYHJgqNBqNlJeXn/d7KisI5d/+MpNXd83y6PO6S/ANW6K496ZYIsIMJCYmkpiYiBCCmZmZeR2J2Wye/07PbLHFRhv54idSueOGOB55ZpTfvzTOC29Ocvv1cdx+XRxhK2jrLIWAL01RUdGCwatXOlaVh/N3X8ni77/fw3f+u5d//kbOst3AY6OM3LMjll8/M0F7t4uC7BAGBgYYGxujurp6/sYqSRL5mWaO93gxGE7/Tufm5lD32nA6fRw+fHjeKHNyRkbiZMXneJ9KWAgkxck8/raPlDiJll4IC5WYdkiEhihEWGU0Ibih7NLlcS2GAOlJTEwkNTV16SdcJixVDVrMPNHhcFyxbd0LjT8I4hPox1ut1vOuqFxIBCIxSkpKzinAcCXQNEFrr8aueh9tPbrepCxXYWO5rtsJtgCeSXrmHOKEONnP8X4VISA5TuamjSZqigwkxpxbdUOcECQ3dvpo7fLTOeDHr4IkQWaywjVrzRRlGcnLMGA5o3IUExNDTMzKdUFnvn7Ah6WktJqBMRgYdTIw4ud4n5e+YT+app9PWqKBDVUW8jNNFGQZiYt6/xCdhVCWb2HzKivPvTXHhiorGSmm+d9MbGzsaYZr5wtFkbhxaxQbV4Xx6POTvPzODO8cmOPem2LZcVWUvouXJKKjo4mOjiY/Px+n08n4+DjNzc2oqnpa5ELgc09NMvP1z2Vw781uHnl6lEefHeP5Nya5a0cct1wTS4jl/AjQhczdupyoKgnj8w+k8P2fD/LGe9Nct2X5O/gdV0XxxMuTvLprFrOsDyBUVlaeVZHLyzRxpMWFw6VhDdHXA0mS9Kk+WSUuRlBaWjqfD9fYFkOENZS52SkiIqNo7VHJzzAwMinoGxVsqVLY3waxUTIqMvFx+lBChMVPxBUwZKSqKnV1dSQlJV3RpOdMrNQ88QONz/sIgZiH7OzsK6ofv9JIjHOFwy3Y1+TnvQY/U3OCCKvE9WsNrC83nNbKWgiBH8D0nJ7XVXdMb2MJdAfVG9YZqSkykBx3bjcVp1ujpctPU4ePpk4fs3a9gpKWqLCt1kxhpoH8DOP8uOtSWEoXFBsbS0JCwmk3TCEEY5N+du3vZWDMwKQtg77fT81PmphNEjlpRm6+ykpBpom8TCOhliu3dXWu+Oht0TS0u/jez8f4f38cS1dHIxkZGUGjUc4XkeEGPnd/IjuuiuKXvx/nF0+M88o7M3z8znhqK6ynEcnQ0FAyMzPJzMycj1zo7e3FbrcTGRlJfHw8MTExKIpCVpqFv/6TTDp7XfzmqVEe+v0oz742yT03xXPjtphzisAIpM1f6Nyty4XtG6N5fdc0v3x8hHU1EctuC4ZYZNZXh7H36BybKtxUVlQs2BrJSddNVvuHvRTlnF6hs7s0IsOU08wwf7tzhqxklfHxcd7aO8ycI4vshDlePxiJ2QgzDgmLScLlkwkLUwi16Hld20u95/9hnCcCpCc5OZmUlJTLfTrnhaWqQcePH2fjxo2X8xQvGd53xOfUBTOQTrxUzMOFRKAyEgyapnHs2DE8Hs+KIjFWiqEJjXfrfBxqU/H5ITdV5rbNRspzlCUN4IQQ2J0qB1u8HGxR6RnWL/zUeJkbN5qoKjCQvAzB9Jnwq4KuAT+t3bqfTvegiiZ0H4+SHANleUZKc4xEhV8YYhHwC0pPT8fv9zM6NsG+w4P0j6jYPGHM2C2MTEoncoDCsJgkctJlbt1mJTvVSHqSbmR4ocJBr2REhSt8/cEE/u6/R/jnH/fzF5/OJT7+7OylC43MVDN/96VUDjU5eOjJcf7pf4coKwjhE3fFk5tx9uTYqZELgYmi8fFxOjs7sVgs8y2x3MwQ/u4rWbR2OPj1k6P89NFhnnplnPtvS+TazdHLNkE8dZLtYuVuXWrIssQXHkjlT/7uOL96YoQvfXJ5LXYhBMmxNlxuCAnPC6oHCfxcFloG7Q6NlFNiWMamVKZtgus3WCkqiuXtZhfhoSqRVg8vHhRkx89wrD+eyAgJWdHzuCRJIjfByzJtwy4a/pBIz5k4M1h1586dtLa2kpeXd5nP7NLgfUd8Auju7mZ8fJza2tqznEYvFgI5WcHITGCEPjo6mqKiogveHtGEoKVb5e3WXMYOuDEqsLpYYXOlcUHtzlnP1/RprL0NXuo7/Kiqrtm5dYtOdhLOwTl51q5R3+6jrt3HsR4fXp++IGalKNyw0UJ5npHsVGXJ8NOVQtMEY1MqvUM+eof8dPR56RoAr09vKZpNEBfpIy3WRnKcoKokhtKCGCyWSzsWfSUhPsrN1TXTvHYgmhd2SXzyzkvzupIkUVseRnWJldd2zfLYi5N87Z/7uGpNBB+5LZa46IW1WrIsz7c5Qa/ujo+Pz6eQx8XFkZYYz7e/nk1Dq4OHnxzhB78a5OlXJvj4PYmsrwk+PQYnhbuXKnfrUiIr3cLt18Xx1CsT3LgtlryspVvBx44dIydFAAqtnW6Kcheufnl9ern0TKG8xyuYnNXmw0QBjrTpY+gV+UYmZjRaulSuX2+kfTQJRdGQLXFYvODXFKLD5RPj6xqV6R7g8iWRBkhPSkrKFdVJuBjYvXs3f/u3f8s777zzB/9eA3jfER8hBPX19RiNRlavXn1J7eMDI+0LER+73U5DQ8MFHaEPwOsXHGpVefuIj7FpQajJzM0bFDaUm5aVuTU6pbK3wce+Ji+zdoHVApsqDawrM5KWIK/YFHJgVKX+uB4H0T2k94njo2U2VpopyTFQkGm4oO0iIQTj0yrtPT56Bn062Rn2z4uPFRnSkw1srQ2lIMtEdpoBs+KkubmZwsJCjEYj4+PjNDTUrUgX9IeEQKL4/bdXYAx18eJOGyFmiXt3RF2yipfhhP7nqrXhPPnKFM+/NcPeozbuvD6G266JXnI6zmq1YrVaycrKwuv1Mjk5SXd3Nw6Hg+joaL7xuVjae+N4+Mkxvv2DPopyQ/jkvcmUFZ49ohvQe50q3P1Dw723JPD0qxMcarAtSnyEEPMi95rqfMKsnYxNBvfN8ZxIVD/TM2xg1IcQkJ5knD/unnoPuWkK8dEKT7zpQZahONvA/zztpyxHoX1QIjJCQTHqbS6vD/Ijuzl0qG9FPlAXEn6/n7q6OlJTU//gicC+ffv4i7/4C1544YU/+Pd6Kt53xEeSJLKzsy9Za+tUBPPyCbTcKioqLoow8ul3fOxp9JOWIPGxG0z4Z5uprqrEtMj4uNsjONzmY2+jl84BFVmCkmyFu69WKM0xYFqBvb3PLzjW49fJznEfUyfGU7NTFG7baqGqwETqCgnUYnC6NboGfHT1++jo89HZ78Pm0F/TZJTITDGwqTqEzBQDmSlGUhNPNy4cHx+n5VjnaVlCi+mClvKWeb9jYGCAkZGR+crGR2624HQJnn5jjq4BL3/y0bgVmd6dL6whCh+7I57rN0fx0NPjPPr8JG/snuVjd8SzcVXYsr4Hk8lEcnIyycnJaJrG9PQ0ExMTyL4pPntvKMf7wnnhbQ9/8U9dbFgVwafuSyI5wXzF5G5dCoRbFdKSzRzrcgZ9jKZpNDc3ExoaOu9OnRBjZHwqeAK6zaGvgQFhcwCtXbomJz9TJz49QyrDExoP3BSKwyXY2+hjdYmBPU0aRgUm5vQsLlXIRFkVDAaJqBA/a8qSgeT5UNXW1la8Xi+xsbF67l9k5EX73v4vkZ5Dhw7xla98heeee+6KGc+/VHjfER+AqKios/KqLgXOJD5CCHp6ei56y21rtYGaAoW8NJ1cHD4sL/j+hRB0DarsrvdyuE1vOyXFytyx1UxNoUxk2PJdPR0ujaPH9ETz1m79WCYjlGQbuXmzhYp84wXJ2VJVQd+In84+L92Dfrr6fQyN++fFx8nxChUFJnLTTRRlG0lJMCxaoejv72d0dJSampoFv48zdUGnessErPljYmL+IG6IQgi6urr+P3vnHR/HXaf/95TtXbtadcmy5d5reiUJCaSHBMhBQihHOTocBwccBz84jk44IHdAKCFAOgkkIb33xHFvKlZvWyRtrzPf3x+jXcux7Mi25JLkeb3WK6vszM7Mzjzz+Tyf5yGZTO5V2SiFTs5tMvPbO0f4j58N8c1PVR9Untd0oCpg4ksfqWVra5obbw/zoxsHeeApG594XxW1B+HULMsyfr8fv9+PEMKoAHnD1FcmeX6TwrOvxnlpU5yLzvGzcv4oDptyzORuzTTmNdtYvyU5qTaxFLDp9XqZNWtW+fuBCpWh8P4rPsORIlaLtI9Z5/ptORprVLwu4zh6ZmMOswprFpl5aoNxDlnaovLHBzTmNyl0hcBmN8bX7Q7DJ+2cJXsEzRNDVTVNIxqNMjg4yM6dO3E6neVx+elqU5ZIT319/YyJ/o8VbNy4kU9+8pPcdddd0zrVebzguCQ+RwsTiU/pTkmW5RlvuVVVyFRNmEp9LQHLFwQvbSvw+PocA2EdixnWLTJx4lITTdXSPv48+0M6K9i4K88r2/Ns32346vg9Micvt7CsxcSC5oOLhJgMRU3Q2WcYAu7cnae1e49fjtMuMafBzAnLrMxpMDG7wbTPXeX+UMply+fzU25fTPQhmSikbWtrw+E4PL+go42JGWTLli2bdN+/7SQXNZUm/utXIb59wzBf+nCQgO/InxKWzLPzw6808sizMW76q+H/854L/Vz8tqmLlEuQJAmn04nT6aS5uZm1a/K846wQf/lblL8+EOHBJ+C9F7toadFR1Tdmi2si5jXbefTZMaKjRQIVe47jki9NZWXlPrELmrZ3rtZrMRgpUB0w7XVMDUeLdPQWuOp8Yxw6ldF5YXOedUvMKDI8vj7P4tkKr+wUmM0wOCrhdskgy7hdhgawsaKAZT8fNUVRCAaDBINBhBAkEgkikQgbNmwoE9+JoaoHi2KxyIYNG2hoaHjDk56tW7fysY99jNtvv/1NI2Z+Ld4iPgeBEuHI5XJltX9DQ8MRv3MsiaxjSZ0nXs3z9IY8qYygoUrmny6wsWahCYuJAzoxl5DLCza1Fnh5e56t7QWKmkF2zjnBwtrFZhqrD8/DJpHSae/J095ToK07z+6+YlkcWRtUOGm5lQXNZubOMuP3HFq7TNO0cpjkod7JTxTSHo5f0LGAUpZQ6U7+QNtjUYuVf/1gJT/5fZh///Egn7+ucp8R5SMBRZZ4+2le1i518qtbhrnprxGeeSXBJ6+pprn+0KetzGYz81qqueycEOed5uXOB/PceFuMB54Y4dJzZFYuPX7J7VRgtxs3DvnCngpxsVhk06ZN+51W6h3MMa958uNcCEHfUIGWxr33yfMbDaPBk5Ybf/fMxjz5Ipy91sLTGwukMobA+c4nNVoaFAZGJGRNxmlTsVokEIJTppjHJUkSbrcbt9u9V6hqR0cH6XQan89HIBDA5/NN6QaoUCiwceNGGhsbp12feaxhx44dfPjDH+Yvf/kL8+fPP9qrc9RwXBKfo1WiVhSFRCLBjh07WLBgAX7/zI8DT4Zk1sydj2us35VA02D5PJWz11hoaTBIyuvFTxSKgi1tBV7almdLW4F8EbwuiTPXWFizyMzsukMnO7m8oK07z5a2HFvb8vQOGVoBRYamWhNnrrWNOyCbpqW1ksvl2Lx5M7W1tdNmLjYVv6BjVRdUypmqq6ub8gju8gU2vv25Gn7wmxDf+uUwH3pXBW878eiY+FV4Vf7to7U8vyHJr24J8aX/7ubqiwNcco7vkETYr83dOvVEwePPjXHjrUP88i9FTt41xsnLe3HaZQKBQLlq8EaBphk3GaVtV7rI76+ykcnqhKJFzjl58lZje0+eyKjGu96+hxjpuuDZDRkWNJvwexU0XfD4yznmNalU+RV+eWeOeY0Kr7bqOG3QH5FwOmUUVcHtMsxVVzTmOdSi+WShquFwmPb2dqxWa7klNlnw7puJ9LS2tnLddddx8803s3jx4qO9OkcVxyXxOVpIp9MMDg6ydu3ao2J01jus8dALOdbvqEaW4aRlZs5dZyZYsYdA7C9+QheGQPn5zXk27sqTyYHLIXHyCgtrFxmOyYcSP1HUBLt7C2zvyLO9I0d7j1E1UhWYN8vMlW93Mq/JTHO9aUrJ8QeDZDLJli1bmD9//mFnzBSKgkxWJ53VyeYEui7KF4t8QSJfCCAsfopCo70/webWAfK5DjweBwG/l4Dfg8VsWO077NMn9D4YpNNpNm/ezNy5cw+alNdXmfjO56q5/qYIv7p1hK6+PNdeWoF6mK3NQ4EkSZy8ysWSeXZu+JNR/dm4Pc2nP1CF/yBCSku5W3PmzCEQCJRf++xTfJyw0s2f7h7m749E2drq5INXVVKt5mhrayObzVJRUUEgEMDr9R7Xeq/RmHHj4XYq5PN5Nm7cSHNz835zyLoHcgA01E5OfJ5+JYXJJHHCsj3nv63teYajGpedY7S5XtleIBrTec/bbTy9sUAiLXjbbJX7X9BprFEZS0loQsZhlbGYJVRZZ3H9/sXUB4PJLBAikUjZFbyioqJ801LS9DQ1NU0pqPh4RmdnJ9dccw2///3vWbZs2dFenaOOt4jPFFDKAUsmkzQ3Nx9x0tMX0rj36Syb2opYzbB6XpqzVpuY3eTdZz2LReMEUjpZjyV0nt2Y45mNeSJjOjaLxKoFZtYtMTN/lnrQ/jpCCAZCGptbc2xrz7Grq0AuL5AkaKxROfdkO4vmWFjQbJrR8M5oNEpbWxtLly7dx2a9UBRER4vEkhrxpE48pZEYf44ndeJJjbG4RiYryOQMsjPJsN7rwD7+AMiOPwxIEtitMnarhM0mY7fKuBwyQb9Kld9EVUClOqAS8KmoB6lh2R9KwauLFy8+5IlHp13hyx8J8ud7x7j3iThd/QU+94EAFZ6jc5pwOxW+9M81PPJsnBtvD/HZb3fzyfdXc8Ly17fVf73cLYdd4Z+vruXc03z87Lf9/OTGIdYsc/Ev1y7C71UYGRlhaGiIXbt24XQ6qaysxO/3H3ctsR3taQIVJmSpwIYNm2hpaTkgKd60PY0kwaKWfc9xRU3w/MYUqxfZsE/Q3j36QhqPU2bdEitCCB54NktNQGb+LJVv/ibD/EaF9a0Cn0tieBQcDhmLWcblMirLJ8/Nzch7hz0WCCVX8JGREXp7e4nH4+TzeWpra9/wwZw9PT1cffXV/OY3v2HVqlVHe3WOCUivkzh+aHHkM4xisTjpWPlMLWvLli3Y7XbsdjtCiCMW5DYY0bj3mRyv7ixgtcA5ay2ctcbCYP9uHA5HuVT92tYWwK7uIk+8kmPjrgKaDvNnqZy20sKqBaaDFihrmqCtu8CrO7K8uj1HaMTY9jWVCovmWFg0x8yCZjMux5G5M27r6GNHa5iK4GwSKYmRmEZ0rMhoTCM8UiQypjHZYW0xS7gdMi6ngs+tYLfK2KwSNqtsPCzjX1tkJAl0ARLGCL3ZLBnP41WrYlGQLwiKmqBQMDQUiWSGgaEEkdE0haKCJNvQMZMrSMQTOqGRPfomAFmGKr9KS6OFec0W5s2y0FhjOuiWTiQSob29neXLl0+bBun5jSlu+EuUoF/lW5+uPuoxHv1DeX7820F29+a44vwKrr7Iv9/tdLC5W5ou+PvDUf541zAA176rigvfZrx+SUgbDoeJRqMoilJuiR3r8RYjYwWu/fxOLj7Hy9LZ/cyfP/91MwO/9L0eJAm+96V9z3HPvpriZ3+M8OWPBFm5yDjOQiNF/vWHES4608G7znOxpa3Az25Jct3FdlJZiXueynPBKRYeXa9TFVAp6DKyquBxm/C4ZexmweVrj2wQaaFQ4NVXXyUYDKJpGiMjI8fVfj0Y9Pf3c9VVV/Hzn//8eIyjmLFy83FZ8TlSbYR0Os2mTZtoamqitraWwcFBstmZ/5COJXTufjLLS1sLmM1w/skWzllnwTGeaVUSN8PepCeTgxe25HhyfY7BiI7DJvG2EyycvtJClf/g9DSZnM6W1jwbdmTZtCtHMi1QFVg0x8w7TnewYoGFCs/MTcXk8zrD0SJDkeL4c4GhcJGuvgyJtARUAGMAKApUeBT8HpV5zRZOD5io8qt4XApup4zLYTzPZAXKgAMwWiolXVA4PFjWBfn9AXTJwXBUYzhSZDhaoG+owObWDE+vTwFgtRjp10vmWjlxuZ3qygNXGAYGBujv79/v+P6h4qQVDhw2me/+KsT1fwjzbx8JHtVoj7pqM//9rw386pYQdz4wQjha4JPXVO9D4g8ld0uRJS59e4CTV7v5+R/6+b8/DfLMyzE+88F66qotZSHtnDlzyGazRCKRcixNSe/l8XiOOb3X48+NoetQ4+tn4cKFeDyeA/7+WLxIe3eWd79z8orQ/U/FqalUWb7AOuF7KRQZ3naiHV0I7nkyQ4VHZtFsE9/5XZqFzQqv7NSp9MnEUmC1SVjNChaLhBBwxsKZq/ZMhkKhwIYNG5g9e/Ze7b7Sfm1tbSWbzeLz+aisrDyuW51DQ0O8+93v5ic/+cnxSHpmFMdlxUfTtHJLZ6YwMjLCjh07WLJkSfmEEQqFiMVizJ07d0aWWSgKHnkpxwPP59B1OHO1mbefaMFp3/uD19PTgyRJ1NfXo+s6Q5ECj72c57lNeXIFw1iwJFQ+GF1NZFRjw44sG3bm2LE7j6aBwyaxYoGFVYusLJlrxmaZ3pOArgvCI0V6Bgv0DObp7MvT1ZcnPLp3Rc9uk/A6igQrYNE8P7VBEwGfSoVHweXYf/r8sYCSX1A4HJ7UL0gIYxvs6srR2pljV2eO7gFjwmVWnYkTlzs4cYWdmgkkqOQhFYvFWLp06Yy5Dz/8bILf3DHCled7eNfbvTOyjIOBEIK7Hhrl5rsjrFxk518/UottvBpVyt1asWLFIeduCSF45Jkxfv3nAYqa4CPvreH8MysmJTUlb5lwOEw8HsflcpVbYqp6dO8pszmdj31lFxZTjh9+bc6UKl9/fWiEm/4a4adfa6Kpbu/t19qV4+vXD/HBKyp4+6nGa8WTGp/7XpiTV9r40OUent+c47f3pPngJXY6B43w5LPXWnhqk47PqyIrMopJxe1SsVhk1jQXWD5rZs/jE1EiPQfSOIGxX0uGmKOjozgcjrJA+kjFIx0uQqEQV1xxBd/73vc455xzjvbqHCpm7KT+FvGZBL29vQwMDLB8+fK9JgGi0SiRSGTaxwCFEGxqLXLHYxmiMcGKeSqXn22j0js5yejr66NQKJLWqnjkxRyb24rIMqxbYubstRZm1U79pBtLaDy/KctzGzN09RvbtKZSMcjOQistjaaD9lLZH/J5nfbePN39+TLR6Rva4+NjLFulud5MfbWJ6vHKTYVHsLt9K1VVVft4jhxvmDh1MjIygt1uJxgM7jNSHRkt8sKmNC9sTNHWbZi6zWk0884z3KxbZqO9bRdCCBYsWDCjd6RCCH7xpyjPvJriax8PsmTusTHO/8izMW740zCL5tr4+ifriISHyp/Z6dDhREYL/OQ3fWzclmTtchef/VA9Xvf+P1dCCOLxeLklZjKZyq2To2GB8Os/d3P3Q3G+8Zka1q0MvO7va5rgE9/oJFBh4juf3/cz9sPfhtjenuOX36jDOn7zc+s/Etz/dIr//lyACo/C134Zw+eSufoddn50c5aTl5nYtBsCPpnRlILVpmK3K7hdChYTvO+07AH9gqYTUxF2T4aSIWY4HCYSiQCUq3xO59Rcxo80otEol19+Od/61re44IILjvbqHA7eIj4Toes6hcLUPB8O9nV37txJsVhk8eLF+9xFj42NMTAwwKJFi6ZtmcmMzl8eyPDqriI1AZmrzrGxYNaBT7CPPDfEIy8JwjEzTrvEmastnLHaMuXU83xBsGFHlmdezbKlzaguzapVOWG5jVULLdRUHv7dqhCC4WiRtu4cbV152rpzdPfn0cbtRFwOmYYaE401ZhprTDTUmGmoNpXv3ksoiVRbWlrKkzlvFJROqqFQyIhbkGUqKysJBoN7XSwjo0Ve3JTmkecTDISKuB06p66Ed72jEYdt5k34sjmdr/x4kFRG5/v/Wlt25j3aePKlONf/fohFc2QuPTPByhXLprXypeuCvz8S5Xe3DeGwK3z+I/WsXjq1Mf9S3EI4HC63OktxCzN9sdy2M8yXvz/IaWvdfOnjs6b0N489H+N/bhrmKx+rZd1rxONd/Xn+7YeDe1X9hqNFvvKTCCcss/LRq7z89fEM9z+T5UvXOrnnqQLRmGDeLDM7unXsdhWzRUE1KbhcKmazzOkLcsytOTLu+yXSM3v27MM+h5Qy4iKRCMlkEo/HU67eHguZb6Ojo1x++eV89atf5eKLLz7aq3O4eIv4TMRMEJ+S34ff76e5uXnSk1MikaCzs3PaxgF1XfD/bkwSHtW58DQL555gOeCU1baOPHc8kqJ7UKPCpbG4McKChgw11cad5WQ+FSUIIWjvKfD0+gwvbcmSzgp8bpmTV9o4ZaWV+qrDu0vO5nRau3K0dedo7zaITilfy2qRaGm00NJkZt4sC3MaLHhcrz/yPTo6ys6dO6csUj3eUdIZhEKhSf2Cstkcdz+wi80dHjr6wGaVeOcZbi46y12+C58plC5+117q4x1nHPmcvMkghOCmO9q4+zE4bY2Tz15XMyMtz67eLN//3x66+3Nccp6fD7yrGvNB6MVKrc5IJEI8HsftdpdbYtN9sRwYjPAfP+4jkTLxf/89/4BVqhIyWZ1PfbMLr1vhB19u3Odz+ePfhdncmuEX/1FfdlK//o+jbG3P8/0vBChq8B83xFmzyMziFjM3/yPHeSeaeWKjoLlOYTgmY7Wq2O0qbpchaH7vKTmORLEkn8+zYcOGvSwNpgu6rhOLxYhEIkSjUcxm81EJVS0hFotxxRVX8IUvfIErrrjiiC9/BvCWuHkmUUpWb2lpOaCfw/5CSg8Vsixx6ZlWKlwyDdX7PwF2DxS5/ZEU23cXqHBLfOAiOyctMyPLATKZDOFwmK1bt6LrerliUDJhG41rPLshw9PrMwyGNcwmibVLLJy6ysbC2eZDvlBomqCjN8+W1gybd2Vp68qVqzn1VSbWLLExt8nC3CYL9dUHP6k0ODhIb28vK1euPCCheyPBarVSX19PfX39PjliTqeTWCzGWSfN5T2XVtHRk+OeR+Pc8WCMR59P8p53ejl9jWPGtE5NtSZk2dB1HAsQQrBjxw5OWCrjdFVy8z1RqiujXH3x9FcFZzVY+ck3WvjtrUPc81CUzTtSfOljDTTWTe24nBiNIoQgFosRDofp7OwsJ5C/3o3LVDA0FOL7/zvAcETha59umBLpAbj9H1GiY0W++JGafUjP7t4cL25Oc8V5njLp2dqeY/32HFe+3YnPrfCL25IoMrzzNCvX35KlqVpmRw94nDA4IuF0yKhmGZvN8BU7ZUH+iJKe1xvhP1TIsozP58Pn8zF37tzyubhkdFryDDoSVb5EIsG73/1uPvWpT71RSM+M4ris+AghyOfzr/+LU0AoFKK9vZ1ly5bt4wfzWuRyObZu3crq1aunZdmvh3RW56+PpXns5SwOq8QFp5g5c411v8nqJev24eEQu7ol2gb8tPepCAHzZpk4bbWNdUuthyRQFkLQHyqytTXDltYs29qzZLKGf09znZml860smWulpdGyl8fHoSyns7OzLNo92iLRYwHxeJxNmzbh8XhIpVLY7fbyxXJ3n8ZNd4/S3pOnud7MNZf4WNQy/USxUBS87197eM87vVx2zoGng2Yauq6zZcsWXC5XuTp7/e+HePrlOD/9+izqq2dOgPrSxjg/vbGPTFbnQ++p4Z1nTy58nirS6XS5JaZpWrkldrCu4ENDQ9xw8yCvbFX5+PtrufBtU7vQ9w3l+dy3uzh9nZtPXbOvk/N3bhhmd1+e//laHXabTLEo+OrPImga/NdnA7T3FvnJn5JcdpaVfFHmkZcLnHeihSc26jRUqySyErKq4nCouJwyHpvgypNmfpJrpknP66FYLDIyMkIkEiEWi82oF1QqleKqq67iuuuu45prrpnW1z7KeKviM90oXWCj0Shr1qyZklpfUZQZnyYrrduLW3Lc8mCKREpwxhozl5xhxWE7cHtIkk209nu5/ykTQxENtwNOWJSmuSrKrHonwWAQi2nqF8V0RmfDjgwbd2TY0pZlNGbc7QcrVE5e6WDpPIPsuBzTU66fGKy5fPny43aMdDpRMmpcvXp12UeqpAsq5Yh9+LIAnYNu7ngoxTd/McxJK+y872LftAaOxhLGvreaj66Ys1gssnnz5n3CNa+9PMDLm5P85tYQ3/h03YzdYa9b4eYX357LT2/s44Y/DrBxe5LPf7ge+yFqrex2O42NjTQ2NlIoFPaq8k1VP9LT289v/hJm/XaVK94RmDLp0XTBL24ewmKWef+l+1bKXt2WZnNrlmsu8ZVvZh5+Ps1gWONz13hRFLjlwTSVPpkVC8x87w8ZVi9UeWmnTl2lRGgMXC4Z1WT4ZUmSxOlHYHy9lKV4tEgPGFW+14aqhsNhenp6kGW5PCV2qKGqJWQyGd773vfyT//0T2800jOjeFMSn1KopclkYvXq1VO+wB5OqyuVMVyTX68VMZbQufHuBNs6CsyqVfjUe2zloND9fUAyOZ3HXkjz4LNpxhI6s2pVPvFeD2sWW1EVCV2fxdjYGKFQiNbWVpxOgwRNNnabTGm8vDXDC5tSbGnNommGEHnJPCtL5xpEpyow/e61hUKBzZs3EwgEaGzcV2fwZkSp3TfRo2di+ngpRywSieCzdnH1OXm291Ty1Ktp1m/LcPHZbi4+233Y/kWZrM5P/hBGVTgqAaYlvDZ3ayK8bpWrL/bz61vDvLAhyUmrZk4T5vOY+M/PzeLuByP89rYhPvvNdv7t443MaTo8XYfJZKK6uprq6uqyfiQcDtPR0YHFYilX+SaO6u9q6+Hnfxhld5/Cuy+q5H2XTT1v6v4nxtjZkeXT11bv0xbL5nR+e9cItUG1PL4+Ftf46yNJls+3sHKhlUdfyjIY0fnElQ7ufTqPooDNqpDJ6TjshneWjozZLKOqEhUOjSrvzDYRSqRn7ty5x4wj88RQ1Tlz5pDL5fYJVa2srMTn8x3UzV42m+V973sfl19+OR/60Idm8B288XBctrrAOMAPBdlslo0bN1JXV3dIo9HPPfccJ598MgCdgzqhMcEJCw98t6fpgp/8OYXdKvHxK+z7vahvbc/z67sS5AqCd51j47QVJhRl/1WefEHw6Atp7n0ySSIlWDTHzIVnOlg8x7zfvyndfYRCobIgz+GqpGvIyfptOYPs6FDpU1i33M4Jy+zMbbLMqE9OJpNh8+bNNDc3lzVW+YJOdLRIIqWRyepGtERGJzv+nMkZmVoSRkSEJIMsSUiS4YisKNK4ceH4w6Hgcip4XMoRMDI8PAgh6O7uZnR09KDafSVdUHtnhH88p9DWa8PjlDjnZBdnn+g6pApQPq/z3V+H2Lk7x+c/UMnapUfH1Xay3K3XQtMEX/xuN8m0zs//c9YR2c9bdib5wf/1EktoXHdlNZec558R0l7KnAqHw+i6TiAQoHcgx2/vKDCWkPj0B+t52ykHdmWeiMFQns9+u5ul8+189RO1+6zzH+8Z5d4n4vznJ6tYOMcgu/976xgvbcny3c8GcDpk/v3ncZpqFC483cbPbs1y9loTz22DWTUyAyMyNpuC1aricimYTDKXrM4ScM/cJSWXy7FhwwbmzZt3zJCe14Ou63t5Blmt1rJA+kBeVPl8nve///2cc845fPrTn36j3ii+1eqaDoyNjbFt2zYWLlw4LR+M9bt0NrbrLJ8jYzVL5AsCWWKfYMf7nsnR0adx3UW2SQ/Qoia4+/E09z+ToS6o8M+XO6j2S/ut8hSLgqfWZ7jnsSSjcZ0lLWauOM/JnIbXb9eV7j5MZicDo9U89Hyc7R15dD2Gx6lx2kqF09Z5WTx35pLHhRCMxIr0Debp6U/Q2jGEyVLLo+sLRMe6iY4Vy62V/UFVKE8y6QKEKLlYG//XNDFpbAWAx6XQUGOmsdZiPNeYaai1TFvL7nAghKC1tZVisXjQ7b6JItqT1um8sjnC3Y8mufOhGHc+FGNhs8x5p3lZt8z1uhlhI2NFXtmW4YmXkuzuzfOp9wWOGulJpVJs3ryZhQsXTpq7VYKiSFxzeSXf+p9+Nu5ITynT63CxdIGT//nWXK7/bR+//ssgG7Yl+dyHD+z5cyiYmDmVSmX53z+28sRLYDXDP79bYfl8DU3TpjQlpmmC6/8whKpKfPyfgpMKmu97Ms7bTnKWSU9rV57nNma56EwHVQGVWx9Kk8kJrjzHxl8ezuN1ScRSMqqiE03I+NwyBWFUe3RdYkVT4S3SMwlkWR53dfcjhChrvrZu3bpfzVehUOCDH/wgp59++huZ9MwojlviI0lGjs5UMTAwQHd3NytXrpy2LJa1C2Ve2qmzuUNn3UKFL9+Q4azVKhedsoeA7Owq8sBzOU5aamLd4n2JSS4v+PmtcbZ1FDhjlYWrzrOhKmK/pGfTzhx//Huc0IjG3CYTH3u3h4Wzp+ZSq+uCTbuyPPFikvXbMxQKgkqfwkVnejhxhZ3aSjE+Tt3BSy8VCAQCBIPBQzbq0nRBKFqgfyhP34RH72CedGaih4cdtzNPhUehwqsyu9FCsMKE36fidpYytfY87FYZ034E3hPfaypjBJKWHomkRiyhMRDK0zeY57HnY3uZJ9ZVm1m1yM7KxQ4Wz7XtV0Q+U9A0jW3btmG325k3b95hndBkWWbdiiDrVgQZjhR46JlRnnolzfU3jWI1R6kNyjTVWmmqs1EbNOGwyegCtrZleWVrmo4eY3igplLlX/7JzymrHNP1Ng8KB5u7tXiuDVWV2NmROSLEB8DjUvn6p5u479ERfnPLIB/7Sisfek8155zqm/aL0o72FD/8306GIhJnnujhw++pRuhJwuEw7e3t2Gy2snHi/nSLdz04wq7dWT7/wep90u41TfB/t0bxuhT+6SKjgqTrgpv/HsfnlrnoTAehEY3HX85x6gozoTFBz5DOBaeYeXS9zpwGhYEIoMjY7UaLy+/SWdU8c9rIUhV/KllkxzIkSdpvqOr3vvc9CoUC559/Po8//jirVq3ii1/84luk5xBx3BKfqaJ0B51Op1m7du20Tgk1BiVq/BLRuHHxlGXQX+PJde8zWfxemXefu2//P5sT/OwvcXZ1FfjARQ5OXm5CiMlJz0hM4+a/x3llW46aSoXPX+tl+XzLlA78dEbn0ReSPPh0nPCohsshc/YJTk5ZZWferL1fY+I4dSQSobOzk1QqVR7N3F92jRCCoUiBts4srZ1ZdnVm6BnI7xXK6XEp1FebOX2tC4clid2c5IQ1cwn6ra9LZA4Wsmy0ulwOhbr9yB6EEERGi/QM5Onuz7FlV5oHnorx98fGMJsklsyzccJyJ6evm3mfnEKhwKZNm6iurqa+vn5aX7sqYOL9lwa5+iLBxp0ZXtiYoLs/y3Mb0jz+0r7Zcy1NZt7zTi9rl9qpC6pH7eRayt1asWLFlH1RzCaZlkYLOzoyM7x2e0OSJC48x8+yhQ7+5/f9/PTGfh59Zox/ubaWhtrD10V19WW59e8hnn4xhscF3/hsE+tWlPyUKqioqCgL3yORCJs2bQIok6CSiLatK8st90U5fa2L09bu68d035NxuvoLfP4DgfL4+tPrM3QNFPn4uz1YLTK//3sSVYELT7Pys9uy1AZkuofAYYWhEQmfR0FDwmw22vSnL5q58fU3CumZDCaTqVzB/d3vfsfjjz/OT3/6U9ra2ojFYrhcLi688ELmzJlztFf1uMMbmvgUi0U2bdqE2+1mxYoV03YCn0hOPnW5Wm4byDJlLxuAkbhOR5/GxadbsLxmGiaT1fnpn+O09xb58GVO1i5WJyU9ui548Nk0dz2SRNcF7zrPyTtOc+zTTpsMoWiBfzyV4LEXk2RzgkVzLPzTxT7WLrG/7t+rqrqX0HJkZIShoSF27dqF2+3G6QowkrTT3p2ndZzslDxerBaJliYrF5zhpb7GTH2VmbpqMy6Hgq7r7Nq1C13XWbhw6VGd3JIkicoKE5UVJlYvcXD52yvI5XW2tmbYsD3Fq9tS3PDnEDf9NcJ5p3m44AwvlRXTL+wu6VcmapxmAooisXqxndWLjYqnEILoaJ6dHSOEw2Ok0hnmNtmY0+zA53MeVSfaUChEV1cXK1euPOjcrQVzbNz72Ci5vH7E9VyNdVa+95XZPPz0KDfeOsgnv97OJef5ueCsCmqCB58f1t6V4Za/h3h+fRyzCc4+SeGj75+Hw77vqXui8H3WrFlle4uSiNbu8HHDbSoVHpV/fs++x9lwpMDtD8RYs8TGumXGMZLJ6dzxUJKWRhMnLrfSNVBk/Y4CF51uZWe3TmRMcMkZZv7xos7cRoX+qEQ6L2G1KqiKRNCtUeObmRZXifQsWLDggC3QNwJkWeaee+5h3bp1PProo/T393P//ffz2c9+loGBAb7zne9w/vnnH+3VPG5w3BKf12t1pVIpNm3axOzZs6mu3tef4lBRmuwqVY4maiV8Tone4T3M59Udhrv06oV7XyyFEPzfnQk6eot85DIHq8fF0a8lAfGkzg23jrGtPc/y+RauudhFZcXr77Ku/jx3PRzjpc1pZAlOXungHWe4mN1waMGNsizj9fkZjNrZ2Z9k/YMJBoZjCGIAVAckVi12sGCOnXmzrDTWWibN9yoWi2zZsgWv18usWbOOWiVBCPZ7B2oxy6xe4mD1EgdCCHbuznLvY6Pc8/Ao9zwyyokrnLzrAj/N9Ye2LV+LZDLJli1bXle/MhOQJIlAhYVTK2qAmr1yxNra2sp+QUc6nLG/v5/BwUFWrlx5SJ4nddVmihqMxopUVx75UElZlnj7GRWsW+HixluGuOuBCHf+I8LSBQ7eeXYFJ65yY1L3T8g0TfDSpgT/eDzK+i1JHHaZt50E55xiY+niOVP+3JjNZmpra6mtrUXXda7/XS+haJZ3nzdKe1tir30rhODGO0dQZPjgFXu8ie57MkUsqfPZ93uRJIm/Pp7BaZM4a62F7/8xQ1ONTGuvwGWH/oiExy2jI2G1jI+vL56ZFtebifTous4XvvAF3G433/3ud5FlmYaGBj760Y/y0Y9+lEwmQza7b+X2Lewfxy3xORCi0Sg7d+5k6dKluN3Ta6//WuIzEWsXqvz92QLDIzpVFTIbWgs0VisEfXvfOT+3KcfmtgLvPs/G6oXqpK2t3b0FfvanURIpnQ9d7ub0NZMLoyeidzDP7Q/GeHFTGrtV4uKz3Zx/qosK76Ht5liiyKvb0qzfmmTDtjTprI6qSixusXHaWhvzZlmoDeqkEhEikT4URUERlRQKQRRl7/J+Nptl8+bNNDY2TisRPRR0hhV2DJrw2nW8djH+rGM3i70IkSRJLJxjY+EcG+GRAv94cgxrdQ2PbM3jbstz6nIzVR5DaH0oKLVyli1bVnbaPpqQZZmKir3bJuFwmI0bN5ZzxCorK6dNIzcZurq6GB0dZeXKlYdccUqljZsPl/PoitV9HhNf/GgDH7iymseeG+WBJ0f471/24nWrzG60Ul1pJpfXyeUF2Zw+/rVOKFJgLF6kwqvy/suDzKoapLrKuFk4VLy8Oc1Tr+S47LwKrrp0Hslkcq+W2OBYJZt2Slx7qQ//+PliJKbxj6dTnLTcypxGM7u6CmzfXeTKc228urPIaFxwxioz979gVHsGohKZ8WqPokhUeXSCnumv9mQyGTZt2vSmIT1f+cpXUBSFH//4x5NWyG0221GJyDie8YYiPkIIenp6GBoaYs2aNQddIp8KDuTls26RyoMvFfjLI3k+dYWFdFZQW7n3yXc0rvGXB1K0NKicucY0Kel5en2a3/01jtcl87WP+WmuO/Bd70CowB0PjvHchjRWs8QV53l455nuco/+YDAYzvPixiQvbkyyqzOLEOBzK5y8ysnqpQ6WL3DsEyRKpbvsKRMKhdi2bRuappXF0bqul6fpZvJE1RlWGEvLuG06HpvAbdMxT3KEOyyCgFNnLC0zOCZRmpq0qAKfQ6fCoVHh1PE5dCzjf19ZYeLqiyvZ2idoEyomq531PRIg8Nl1/E6dSpdOhUNHmcJmHx4eLovtZ+I4PVxMbJs0NzeTy+UIh8Ps2rWLXC5X1o4crMPw/iCEoL29nVwud9jmlZGRAhazhP21x+lRQqDCxFUXBnnXOyp5dWuSR58ZpbMvS0d3BotZxmKRsZhlrBYZl0OhNmjmtBO8rFpsZ+vWfc0aDxaxRJFf/mmY5noL770ogCRJuFyusvP1WDzDr38QoqqiiNe0nV27DF+Zu58wBO/vOs+JrgtuezhDhVvixCVm/usPGVoaZNr6BE4bDEQl3K7xao91j7ZnulEiPQsXLsTjOboO4jMNXdf5xje+QSaT4Ve/+tVbhq7TiOOW+Lz2ZKvrOtu3b0cIwdq1a2fsIDkQ8XE7JN57jpk//CPPPU8XMJskcvm973hueTBFoSi45kIriryvR8/LW7P85s44C2eb+Zf3enE59v8+8nmdux6O8bfH4qiqxCVvc3Phme6DHsseCOV58sU4L25K0t1vnKxmN1i46h0VrFnqZHbD1Hx8rFbrXi604XCY7du3k0gkyoZzJR3TTCCakGkbVtHFnte3mfeu6njtOgGXTpXHeJ9FDWIZmbG0zEhKZjQlMxQzUSJDDotBagJOHb9TY3mjxoomeHXbCLc/ksDpsbF0iY+xtIn2kIQsCSocBgkKujTcNrFPW62np4dIJMKqVauOm0gOi8Wy3xyxw02oLuVuKYrC4sWLD/v46BvKUxPcv5fV0YIsS6xZ5mLNstefTisWi2zcuLHcqjoc/OqWEOmMxrc+W49pEm3fvU9kiSXhi5+pZ07DLEZHR9nRFuapV9wsa8lQzIV5ZoOHniGND1/m4MkNBZJpwepTzfz1KZ0FsxS6w0a1x2ZTUGSo8WlUTnO1581EeoQQfOc73yEcDvO73/3uLdIzzTg+zrqvg3w+z8aNGwkGgzQ1Nc3oCe/13JtXzVfpGtJ5ckOR+fUyHX1FCkWBSZXQNJ0NO/OcttJMtX/faZm27jz/e+sYs+tNfP5aH2bT/t/H5l0ZfnPHCMORImesdfBPF/nwuKZ+0Slqghc3Jrn/iTG2t2eQJVjQYuOD76rkhBVOgv7DE/GaTCY0TUOWZU4++WQSiQT9/f3s2LEDj8dDMBikoqJiyh/oTB4e3mLBZdVx2wRuuzCebTpWk6HZWTO7wKrmAsmsRDwjE8tIxNIGqdk1uIcQSRh/63PoVDiNKk1DRZE543rPggaj4yQompQZjin0RI2PikkR+J06fp/KJ6628cc7B/jdjUN87OoqViz3EU4ohBMyOwZN7Bg0YVYEQbdG0K1T6SzS3dlGPp9nxYoVx+3JbKJf0ERdUHt7+0HrgibL3TochKIFNu9Mc8m5x++ET6FQYOPGjTQ0NBx2W/jZ9QmeezXJP13sp6lu38riUKTA/U/FOXOdg3mzjJ8HAgH+9A8FkynPVRf4icWj3PGIStBbxK4keewVH6sWqLy8U+B1GtUej1NGSDIWs1HBPm3h9Gp73myk5wc/+AHd3d3cdNNNR3XI4I2K4574JBIJNm/ezLx586isrJzx5U0ltuKSU00sma1QLOpsaS+wsbXAmoUmkukiRc1wRX7tCX44UuQnN41S4VH43DX7Jz3ZnM6Nd4zw1CspaipVvv6JKpbMnfq47Fi8yMPPxnjwqRjRsSJVARPXXBbgjHXuQ9YCvRYlC4F8Pl/WathstnLba6KA1uFwEAwGCQQCB6x+FDQJkyIIx2U6QxJigqmnWd1DgryO8eqOQ6fGK8ptJ11AYpwIjaZlRlMSobhMV2TPMp0WgwgFnDp+l86cYJH5NYYYOpWTiCZlIkmZaFJhqN8MmFm4toW6ljRPb4shm1O8ba0NuQ6yBQgnFEIJmVBcoW9UBUzY5BaagiYSOR23dd9q0PGG/emCNm3aZEzNHUAXVJq6DAaDh9XKmYi/PzqKJME7z/JOy+sdaZRu4pqbmw/7fJZIafzqlhAtTRYuO29yU78/3zuGqki8+x3e8ve2d+xJX6+vcXJfu5lMPsvH32Xnuc1ZNE1g1nvpCzWycJZO5zDIBQnbeJZgfYU2rWaFJdKzaNGiaddsHmsQQnD99dezbds2/vznPx83FeHjDcftVpUkieHhYTo6OlixYsURE4dOhfgoisS8BgVdl6kJyNz+SJbZtVD6M6tl36vdbQ8m0HX44gd8uJ2TVwLGEhrf/02I3b15Lj/Xw2Xneg5YFZqIgVCeOx8Y4amXExSLghUL7Xz06iCrFjtQpjGOopSD5nA4WLJkSZng5fM6Y4kiY7EiY3GVsXglY3EfkdYMydQo2cwAzppmTGYLqgyKpKEIDadVJ+CR8PtMLA6qVHhMWK0yqZxMLC0RzxjVnXjaIDK7Q3u2nSQZhMhrF2XNToVTp96vUXrL2TzlFtfIeIWnVN2REHgdAr9To9KlU+nWafRrSFKBXAEiSYVwXGbYbMXhcRAD/rpep9qrU+XWCbo16n0axWKGVzZ3IDvqyUkV7ByS2TkENpNOtUen2qPhd+rMYCrIEcHB6IJKvkXTUdUoIZ7UeOS5GKetde9jzHc8oGRrMF3hmjffHSGZ0vjPz9RPOmW5c3eWFzelufJ8DxUe45jXdcGf70sQ8Mq8/RQHqYzOg8/nWDHPRFXAxubdgpOXqfSEG/E5NXpCJlz2IigmVEViVmWBd67V91nWoSKdTrN58+Y3Dem54YYbePHFF7n99tunPcX9LezBcUt8+vv76e3tZe3atUf0ADmYoFJJgg9eZIx9/v7eHJedaZT+Xyt+jYxpvLItxztOM+zgJ0P/cIHv/mqYWELnix+sZM2SqU3WDIXz3P6PEZ54MY6qSJx7ipt3nOmjvnr6x3zT6SxPPL2VgqggnnZw2wM99AzkiIwUyGQnPxlazBKqKiGEhSUVVlw2B7LVhJAkikAOiMQEmaE8mWSOdCpNPpPHrGjUByUWNptZtsBOwGccAwUNYmmJsZTMWHq8wpOS6Imo5SqRIgt8DoMM+V1GhWd+TbE8nZXJQzSpGNWdhEx3RKV92Phbq8loXRlESGNZo0GiYkmdG26PgcmCZbGPwTHz+O9rKPkYDZW1zG9wYFJzZAswHFcYiil0RxU6Iyqm8ZZYjcdoix1g2vm4wf50QbFYjEKhQENDw7RVaXVd8PObhigUBJceh22uUlVjuoz4Nm5P8dAzMS45x7df64XbH4jhcclceOYeQvHMqxl6Bot84r3GTdXfn8qQzQkuOdPGAy8YRoQNNSov7dJY0mKhfQCKmLCaFJDAXdzEhlfz5Urf4UwbpdNpNm3axOLFi98UpOfGG2/k8ccf56677jqi9hFvRhy3xKeqqopgcN+cmZnGVImPkRulU1Uh8d7zLPzxHzlufiCH0yaxqbXAycv3nIwefT4NwNtOmpzM9Azk+c9fDKPK8I1/qaKl6fWngMIjBW67P8rjz8dRFIl3nuXl8vMqpi1DKJvT2dWRpq0rQ1dvls7eNL2DOTTNAqSQpRQ1VWYaaqysWuzE41bxuFQSuPE6we+WqKqQ8bslLKaJvjo6mp5jLFGgdzBO33CGsYwJp9NF0WmnIBzo7Ol574zBxicKFLI57GaN2XUqi5pVKt06s6tEuYpS1GAsLTGSlMcfEt1hhdbB8eqOZFSGAi5D/Fzp1llar6HIRqsrlpYIJYwKTzgh76X5Cbp1qjwaV73dzb9+u4M6Z4rLzg/SEy7QOZglp1SxMyKzK2pMk1V7NGq8Go0VGpoO4YTMUFxhOKbQP6qiyIKgS6fWq1Hl1g55XP5YQkkX5HQ6y2Gj6XSal156aVr8gu55ZJSXt6T40JWVk2pZjmWkUqmyl9N06FcyWZ2f3zxMfbWZqy+evHK0c3eWrW1Z3n+Jr+xKXiwK7n40yex6EycstZJM6zz2co61S8zYbRIvbC1yyjITz23RCXglugYh6JXJFGVURWJBnc4Zq5eSzWYJh8Ps2LGDfD6P3++nsrISj8cz5fN1ifRMNarkeMdNN93Evffeyz333HNMTnm+0XDcEh9VVSkWZy7/ZX+YCvERQqBpWnmCad1iEy67xO/uzSJklc1tRUbjOj63jBCCJ15Os2axhYB33yucpglu+EsUVYZvf7b6dUXHQggefDrGH+4KU9Tg/NO9XP72isPW7wgh6BvM8cqWJOs3J9i6y5hOA/B5ZCrced5xlp95zS6a6q001Fgwv8Y1N5WFXz9kpi8uwcCe76uKwGkVuGzgtglcdoHbJuMPBJjVILCZioyNRgmFOkgmk7g9FdjcNRQlN11DOv1hQVzIaLKF7jET3RuM1y1VdnxOgc+p43MYxGZO1R5Ck8xJRBMSkYRR3emNKrQNGdtKlgQVzj1kKODWaKkqIkuQzkmEEjLDMXmcsBian0ves5RIKElrX45kaBtnLJuL3ZElmpQZGjOqPFv6zGzpMybGarwatV6N5Q0FaCgQTcoMjikMxoyHLBnEqs6rUeXRjutKUCwWY/v27Sxbtgyn08jROlhd0GTY2prm5nsinLzKedxpe0oGltN5gb/1vijR0SLf/WLDpHlzQghufyCG2ylzzkl78syeWp8hMqbzgcsMgvLoS1nyBXjHKVYef6UAAprrFF7cqbG0RaW9H+JZCbvdqPactMA4H1utVhoaGmhoaKBYLDIyMlIebHC73QQCAfx+/371K6VQ2jcL6fnTn/7E7bffzr333vuWH88RwnFLfI7WqKqiKOTz+/enEEKUCdnEqZ2FzSr/+j47v7wzQ7io8L2bUnztQw6sJolURtBYMzmh+cfTCXb35fnsNYHXJT2RkQI/v3mYTTvSLF9g5xPvqzqs6axcXmfjtiSvbEmwfnOC4YjhRN1Qa+HCt/lZvsiBxx4jNjbEsmXLsFgsaDr0RiTiWYET9qrmOKzw6QvzpHKQzEgkshLJjEQyawiPExmJrpBMKrf3vpUw47Lb8djr8dh18oU0+kAULdtN0KuwYpVxItW0Ao+9EOHR51PEswr+gB252U22YKFtcM92kCWBxyGoGCdFFS6dliqN1eNBiqmcRDhukKFIQmZ3SGHnwJ4KT6VbH6/y6KxoLGAxFUjnJIbjMls7dbJuGztCZuAURlt1ajwaNV6dBTUFljYYvzsUUxgYU9gdUmkfNqa/arwatT6NRbUFltYXGEnJDIwZvzcUU1BkQbVbo85ntNqm4hd0rGB/uVuvpwvy+/0Eg8H9+gVt3pnmu//bT03QzL+8r+qYG2E/EEoBrNNpYNndn+Pvj41yziluFsyZ/CK6aadR7fnAZXuqPfmC4J7HksxtMrF0rplsTvDYy4a2x+eWeXZzgdULVV7aoeN1QtcQ+H0yOU1Glo1qj3eSt6CqKsFgkGAwiBCCWCxGJBKhq6sLk8lUrvSVjok3G+m5/fbbufnmm7nvvvtm1Bj0LeyN45b4HC3sr+JTam3pur7fZPVKn8yXr7Hzizsy7O7X+doNaS4704TPI9PRW9jn90MjRW77xxirF9s4ccWBPxTPv5rg538cRheCj743yNtPm3pZeSKKRcGrWxM8/VKM51+Nk8nqWC0yyxc5eNc7Klm91EVVpWFx39HRQSqVYtWqVeWRy2QWbnlyT+XKpBgGZ04buGwCp9V4dtnBbdOp8YHTuneERFGDZIZx4bJEPC0RS0nE0hIdQwqZvBtwA80wBubeImYpjd1cwO+28t4rPMRjBZ56Lszdt/Vw6loPn/1wA8mszEhKYjQpM5qUiCQkdg/LCErxIwK/U+B36wRcgka/xspZRRTZIGahuGw8YjKbukuaIaOqVO01qjfzA33cfmuChfO9XH5RPYNjMp1hlbZhCalUvfEZ5GV20JjyK5GggTGF7qjR6qr2aNRXaCysKbCkzqgE9Y8pDI4p9I8ZmqBaryGernDox/R02MHkbh2MX9D6rSm+/6sBqgImvvmZeuy246cnODY2xs6dOw8qgHUq+M1tIRw2mfdfOrl2SgjBLfePUVmhcO7Je4jF85syjMZ1PvIu47zxzMYs6azgglOtPL2xQL4Ai5pV/vKoxpI5Cu0DxmfC4VCQJDhlCuPrkiTh9Xrxer20tLSQyWTKLbFCoYDb7SYajbJ8+fI3Bem5++67+fWvf819991XroBONzRNY82aNdTV1XHvvffOyDKOR0gHyrsCZiZdbhqg6zqFwr5kYaYRjUYJh8MsWLCg/L2pkJ7X4ub70zy3pYjFLLOyRefxF9L87N+DexkW/u2xGH/6+xg//3rdATO6Xt2W4ju/7Kelycrnrqs+pHyicDTPA0+M8OBTo4zGijgdCqesdnPaOg9L5jv2Sk8vFDS2btuBw25m7ty5e73fgmb4eiSzBnmZWNFJZiCRAU3fe/vIkkGO3HZw2wUeO3gcAo8DPHbjZxMdmHMFQ3MTS0mMjhOieEpiLCVIZOS9Rt1BJxnLYlU11i21EnBDhUvgdwnMqkGyRlMSkbg83vKSiMZlckWpvG5+l6By3H4/6NGpcIiyNicUkxkaM1pexfH3peXzhIeTXH2+g1qfjqpAJCEzMKrQP6oQyxjb0mXVqfUZBCfo1kFAOCnTP2JofXJFqUyC6nxGS0yWjdfqGzVaYZouYTPp1I+/jst6bH1kS7lby5cvP6whBF3XicVihEIhRkdHae93cvdjZhprzfznZxpwH+V4ioNBNBqlra2NFStWYLUefnJ7CVtb03z9J3186MpKLjx7coH0i5tS/Pj3ET5xtZ8z1u5pN/779VFkCb79aT8C+Pov47jsEl+61sU3fpUm6JPxelS2d+vY7So2q0xBKFgsKgsbdC5YdXiyg7GxsbKfUyaTwe12U1lZid/vf0P62Nx33338+Mc/5r777qOiYnKrgenAj3/8Y1555RXi8fjxSHxm7HbuuK34HM1W18SKz6GQHoB/usCGzZzhwRdybO2QEJLMcxvSvP3UPcx/LK5hMUsHJD3t3Vl+8OsBmmotfONTdQd91xtLFLnlbyHuf2wETResXebi/DMrWLXUOWmQYj6f58kXO3iueykWk8C5E1zlis74w27odWp8RnXHNGH1hTA8bhLp8YpOGhJp4zmeluiPSOzIgBB7L9uilsiRKBMkl10Q9Ajm1hjfU2TDryeZgdBogf5QmtBokf6clWTexvqOvU0jXTZDv1MiQvNqdU5yGYLoZBbC49WdUEyifVBhe6/xtyZFUOXVqfYKqn06C2rztO7aQQ43Jtcsnt5UIFjr5bFtMhKCgFsYVZ4KjeWNBdJ5if5RhYFRQ0+0a9CEWRVl8rKsocDKpkKZ4PSP7hE9l0TRyxsKLKsvMBRX6BtRaA+ptIVMeGyGGWOdTyvHbRwtdHV1MTY2dli5WyXIsozP58Pt9nLTX8P87dExmuskLjsjTOvOyBHJEZsOhMNhdu/ePSNRJbfdH8XnVjj31MkF0kII7ngwRl2VidNW7+lLbWvP0z9cLFd7duwuEBrRueg0O1s7NEYTggtOVrnraZ15jQpdw4AsYbMryBKcsuDwSE8ymWTHjh2sXLkSp9NZbomVtpXFYim3xKaTKB4tPPTQQ/zgBz/g/vvvn1HS09fXx3333cdXv/pVfvzjH8/Yco5HHLfE52hhIvF5rYj5YMiYJElccY6dRXNM/OWBNCaLiTsezeFwqJy60vhwj8Y1fO79XzBC0QLf/kU/bqfC1z55cKQnl9e556EIt98XJpvVOe+MCq58Z2W5WqTr+1YOStMnLbPmYfMJEplSVQf6I0Y1p6jtuw2s5hJZwWhx2fdUdxr84KwXWM172l26DoksxFIGGTIqRRKJjPH/0BikcnsTIwmjfeZ1CLwO8DrNVPrNzGsSuKwF7n+kmz/+NcG6VQpnnOxHVytIF+1EExI9EblchSpVeIIeo8pT79dYNVtgUsYnu2ISQ2MyQ6My6ztKbTITbstimqpU/Dadbet7WDjbyrsvrWVgVKZvRGFTt8rGbsOEsa5Cp8GvcWJLDlWBwTGDvPSNKOwOTyA4fo0l9QVWNBaIJA3hdd+oSt+I0eqq82k0VBQ5YXaefBH6xxR6R1S29pvZNiCocuvMqSzid06fr8pUMDF3a9myZdPmUD0WL/KjGwfZ2prhgjM8XPeuICZVOmhd0NHC8PAwPT09rFq1atotOHZ2ZNiyK8N176rEYp58e29pzdIzWODj7/XvFUHz8PNpPE6ZE5cb550nXsnhtEusXmTm//6axeuUGE2B0GEsJRk+Y7KMIkssbNBxHwbXLIm7ly5dWm73TGyJzZ07l3Q6TTgcLmcAlqbEXC7XMbV/p4LHH3+cb3/729x///0EAoEZXdZnP/tZvv/975NIJGZ0Occj3iI+B4kS8dmfiPlgsbDZxDc+6uaBZ7Pc80SG3/89zZOv5rjyHDujce2AJfyHno6RSGl8+/OzygZkU8HLm+L8/A8DREYKrFvh4rorq2ms2/tO6sb7dYZGwO0wSIpFzZNLRZndtJysbqW5SuB2gMMG8vjJRwjIFQSJNOMkxXhOpBmv6MDgCKSy+56sFFngsBp6H4fNeHbZjapMhROaggZ5slsMglTUKBOheNo4IY8ljeeOIUhlJ+4TFae1hVPOzRIaTpEpqpgKQ1gLUVZWWqhcVIls8TOSVAnFJMIxmd3DMtt6jW0vYZChKp+gyqMzr0bj5PlFMtkcL2zsRrE3kiy62NEns6VHZelJ81Ep0DEoU+fXWdJQRAgYGDXaWL1Rha6w8dqVLoMEzasucMLsPOGETO+IQu+IQt+IiiwJan0GCVo6ToJCCZneqErfqEJXRMVmMl6jyV9kdmWOeEYy/n5UJeGS8M+MfGBS6LrOjh07UFV1WnK3Sti8M83P/jBEIqXx6WurOevEPb4ur9UFjYyMTFuO2HRhYGCAgYEBVq5cOSNuvI88F8NmlXn7afsfh//HUwk8TplTVu2p9sQSGpt25bjgNAcmVSIa09nUWuDcEy2ER3V2dmm842QTL27XaayRGRoFu0PCrMq4bIKTD6PaUyI9ryfuttvtNDU10dTURKFQIBqN0t3dTTKZPGb271Tw9NNP8/Wvf5377ruPYDA4o8u69957CQaDrF69mieeeGJGl3U84rglPkeL6ZfG6IvF4kFXefYHRZZ452k2Vsw38ZM/xuns1/jBTUnMqplkIsemXRmWz99XALmtPU1Lo/WgzAjvfSTKb24dpqHByT+/r4ITlzsmdXVdNlui0gvxtCA6ViCegmyxltawBOypIMjSeBXHUariSLgd4HEYoa31AePnZnXPPtM0o1oUS0M8RVkPlBp/TqRhIGr8/7VtXlk2CJB3fBme8QpPXYVgcaPxPUWGfNGoGI0kJUYSEI1L9GCiILxs6FEBLzAbeVhg78hjkeJ47EWqK8ysmWOnyqdS0CAUkxkelRgak+gYktnWM06GJIFdyVNfOZv6SjM1vgJOK/zylhG6wzJrVvnZ2mtUemRJUO0V1Ac05tUUOXlegZGURG/UIEGvdqm82mXCadVpCug0VWqsmlUYd5FW6InuIUF1Po2mgMbKpjyrZhnVou6oQtuwSuuQ0epqChSZEyyysNYgXEcKJdfu6crdAigUdP70tyj3PDJKbdDEv3+igdkN+293TJwiKumCwuEwHR0d2Gy2w/YLOhT09fURCoWmpeU3GQoFnRc2JDlhuXO/1Z7BcIFXt2d419s9ewWVPrcxi67DqauM88sjL2YBOGutlfueyWM2gdOhkEhrBHwydpuMoshYTYJrzi7upb07GCQSCbZu3XrQE20mk4nq6mqqq6vL8TeRSISOjg6sVmt5/x5rXjjPP/88X/7yl/n73/9eDmyeSTz77LP87W9/4/777yebzRKPx3nf+97HzTffPOPLPh5w3IqbAXK53BFdXqnK8/LLL2OxWAgGg1RWVk5r2VrTBHc9nOD+Z7NYLCqakBBCsLRFZd0SC0tbTDjtMrm8zvs+386FZ/sYiDuo8ss0BGVqK42H17k3KdN1wW9vHeKvD0ZYuTJIWvYCRvXE44AKt4TPJeF1lp7B44T4SA+Z1BjLli1FkhVj2io1XsFJifFngyCVvp+dZNpfVYxx9lI1x2GTcNqM7xlTX1K5FWa3GlUkTd9DhOKvqRzFUjCWMr63NzkyJsfcDvCMv57HYRClna0xfn9LH9d/swWT1cJIQjIeSYgmJEYTTEh2FzgtRap8EtUVMpUeQZVHIMvQNZhlZ9cYmGsIJ0wUxtt7qqQzNJRkdrXgwtNs+JyCUEymNyLTG5WJxI2LktUkaAjozKrUaKjUEYJyFWhg1Gi7WU2CxoBGc6UxCh9NGSSoO6KSLUioiqChQqMpUKTGo1PQoHdEpSeqMJJSkDCqU7MCRWq82oyPvs9E7lZ3f46f/G6Q7v4855/u4drLK8vj1weLiX5BkUgESZIIBAIEg8EZ1QV1d3czOjrK0qVLZ6wi8fLmJP91wwBf+5c6Vi+ZnETc/sAYdz4U45f/UVf29NJ1wb/9OILTLvONT/hJZXT+7foYKxeYuewsG//5mzSnrzDRNiAhyzCWVnA4VFSTwtuWa6ydd2iXh0MlPa+HiftX1/VyRIrT6TyqLbFXXnmFT33qU/ztb3+jqanpiC//iSee4Ic//OFb4uYJOG4rPmBUEF6HuE0bSiJmgHXr1pFOpwmFQmzYsAFFUcp3mYd7p6EoElee72ZRi4Vf3xFjNC5QVJmtHbC1Q0OSoKVBpconEJLCnCYrWr9M54DGqzv3lJ3tVgwSFFCoqpB49qURXnhllIvO8XP15ZUMR2EkIRiJC0bjgmhcsHtAJ5Y0BMJ7UIvFVMvD23U8Th2v0yBHHqeE1yUxq9qo7Ngte4hWrjBOglIQSxutr3S5qiMM8fGY8Vws68T3LFSWwGk3hNJuu/H6XqdBkOr9Eo56gzw5bUa1LJ4WjKVgLFnSBRmPcBw6BiFfLH1+vKw+y8vtzwl8TvC5BBUuQUs1nDgfKlyQzkE4LjEYKdIfLjAYVegYsgLGBdes6jjUInPqKqkPQpU3T6EosamjyBOv5PD5HcSFmT8/ZYSn1vl16v2C0xcVcFkF/SMyPRGF3ohM26CCJAlqvIJZQY21sws4xn+nK6zQGTKcpS0mwayAxuygZuh9Eka4am9UoTOsYlEFsyqLNFdqzAkWSWYluqIqPRGFFzosmBRBo7/IrEARr336g1FLwZqNjY3TkrulaYK7HhrhtvuiOB0KX/uXWlYvObx+3VT8gg7WXfhAEELQ2dlJMpmcVp3TZHhpUxKHTWb5wskJnBCC5zakWDjHspeR6ZbWPMNRjSvONbbtMxvy5Apw3okWHl9vTMzWVCo8t11j/iyVdFFGVmTsFsHKOccW6QFwOBw4HA5mzZpFoVAgEonQ2dlJKpXC5/MRCASoqKiY0X3xWmzcuJFPfepT3HXXXUeF9LyFyXFcV3zy+fwRIT6vJ2Iu+VGEQiGEEGUSdLj+HIWi4NkNGe56JMlYXEdVYV6zlUxeYiBskDCTCouaTcxtVKmvVjCpEkNRQX9YYyCsMxDWyU2Y+jeboNIrU1UhE/BJBDwyAa9EwGtUiQCisQLrN7WjmP2oVr+hnUkKYknBWFKQSO17YMiSUc1xWCWjqmPb8+wcr+44bRJOu/Fstxp0Pl/cU9UxHqKsC0qkRbm6k9lPcc9i2iOYdtml8tcGOQOfExQFYkn4nz+GKOgKZ5wSYCwJIwmjaiTEnv3ptgsCHgi4ocoLVT5wWvJ0D8Rp60kwlrGRl/wkctZydUhBIxxOoeeyfPAyN3VBlcERmb6oTF9EYjQ1XukxC5oqdZoqdRoCOum8RFdIoStkxGgAeB06s6t0Zldp+ByCgVGZzrBCT0ShoBmVoOagxpwqI9h0KKbQGTaE0bqQcNt0msdJkN0sGI4bWWP9o8bPPeM/b/AXp2Xqq5Qx1dLSMi1ize7+HP9z0xAdPTlOXe3iw++uxOOa2fszTdOIRqOEQqFp0QWVxN35fJ5FixbNeLXh09/qIuBT+Y9P1U/6867+PP/2w0E+cmUF50zw7vnh70boGSzy43+rRJbhqz+PU+GW+fR7nXz1hhSLZqvE0jKpLGQKCnaHiqIqnL9aY8Xsgz/vlkjP8uXLj+j0na7rjI6OEolEGBkZmZaIlKlg69atfPjDH+aOO+5g3rx5M7acNzBm7IPzFvF5HRysiLl0JxkKhSgWi+Vy+uEYVBmJyXEefi6NQEKSYF6Tmf5QnlRGEAzaGEsY28GsQkO1QmO1SkO1QkOVzOPPjXHv42N86D31ZAoywyM6oRGdkbjYq7qjyOBzgUlOUhOwUltlN1pgbhm3Q8LtkLCajamreBrGEoJYynikMpDMGM+lqk4qI8Z1OvtClhkfT5fKhMVulbBbxp+tE54tEiZVkC9COiuRyo4vo9QCS+0hSYm04SU0EaoCkigyMpKjsVph3VIbFS7wOCVcNuP3RxISkThEYpSfS5UiSRK4LAWclhSz61w4TEn07DB9wwVe3R2kKNkIBJ0gq+PbUVBTAY2VgsagkfA+OCrTHZLpDsukx52p/S6dWUGd2dU6LqugJ6Kwe1hmYFRGCAmXVTC7SmN2tUbAJegbkekMGZofTZdwWY34jTlVGnaLoCdqTIWF48bFuspjVIAaKjR0YbTCusIKo2mlLJpuDhQJug/NALHksrtw4UK8Xu/Bv8AEaJrg7odHueW+KHarzEffG+TkVUfexE4IwdjYGOFwmJGRkYPWBQkh2LVrFwDz58+fcdLTO5jj09/q5oNXVnLRfrx7Sm2uX32rvjwsMRQp8qUfRbj8HCeXvs3JlrYCP7slyT9f7iCTl7jtkRzvPs/CX5/SaWlQGRqTsNpMuO3w8XcefOu05FJ9pEnPa/HalidQbok5HI5p2187duzguuuu45ZbbmHRokXT8ppvQrxFfCZDoVAot59mApqmHbQ/z0SUyq2hUIhMJlMmQYc6hhlPFvnVbaO8uiOHyaSMVyoEuqZxymoH9dUWEmnoC2n0DBXJlbQ2QqBIGmuW2KmplKkJKNQEFCo8EokURMZ0IjHBwHCGrr4EmuwmlpJJpvfd/apiVFacJcLiKBGXvR9Oh4TLJoFktLkS6T1kKDHe/tr7WZDOQeEAQyImddwvyG5UkVzj1SOXAzwOCY/DIEqKPG5ymJIYSwqefTVFR2+BYNCGyWLeh4zJkqEJqnCB3yPhd0OFS8KsQrYoaN0dJZa1ki66GE1C6fOoFTVymRz1/gy13hEqXDJ2l594wcPAiMLQCAgME8JaPzRV6jQGBRaTRG/EIEJ9UQldSFhMguZxElTt1RkYNUhQb0RGFxIOq6ClWqOlWsPrMEhS+7DC4Khh2Bhw6cytLjK7SqOoSXSGjTiMZE5GVQRNfsMputKlE8tIdIVVeqIqeU3CbjaqQE0Bo0o0FZRytyaOIR8qBkJ5rv/9EK2dWU5a5eSj7wnOeJVnKjhYXZAQgu3bt2M2m2lpaTkiupI/3RPhrodGuPG7s/cbQPyVHw0iy/Cdz+0R1d76QIJ/PJ3ip/9Widet8PNbknQOFPnvT7v57z9ksJolvB6VnmGBLqk4nCqyonDROo3FTQd3WYjH4+WMtmPNZymfzxOJRAiHw6TTaSoqKggEAvh8vkNuibW2tnLNNddw8803s2zZsmle4zcV3iI+k2GmiM+hmhIeCJqmlUlQMpmkoqKCYDCI1+s96NffuTvLb+80ytQWyzgBkowPqUmF2fUm5s0yUVmhkskK/vT3KHaHBa/Xwmh8zy5VZPB7ZfweGaspjyiOMn9OFVUBKxVuGYfNaDEZ7S1BPCVIpkWZqCTSe/5f3E9uq91qaHScdkMHZLVIWM0SNgvYLBJ2qzT+bFR4LCYQkoSmCTI5iXTWIESpjEGckmlBImNUe0rPk1gOIUlgM0OxUGR0LEfQp7B2mR23w1ieJBm6j6JmVIlGkzASF0Tj7EOMHJYitQEVUSzQ2ZOifziP2aLQ3OTE67MRTUhl/yKzouG2xPE7MjQEzbg8HiIJM90hieExAIPkNAUFs6sFdQHBaFJm95BMZ0gmm5eQJUFjpaClRqMpoDMUk2kfUugJy+V21pxqnXm1GjazYHfIMEIcScrG3wYMElTn04kkZXaHDNFzsVQlChaZHTQmcgZGFTojKqG4AgiqPQYJqvEYLtGToZS7tXz58sNq5+q64IGnxvjDXRHMJol/fk+Q09a6X/8PjxJK1dxwOLyPLkgIwdatW3E4HMyePfuIiWm/9L0eVEXiv744uaC8eyDPl34wyLWX+njHGca21XXB578fpqHaxBc+4COe1PnXn8Y490QLy+dbuP6WDBefbuaBlwSzahUiCRmb3YTPCR+9QDuo6mAsFmPHjh2HfawcCZRaYuFwmNHRURwOR7naN9UBls7OTt773vfy+9//nlWrVs3wGr/h8RbxmQwzQXxKpEfTNGRZnpETmK7rjIyMEAqFiMVieDwegsHgQQnvdF2wcUeGp9eneHlLmkLRuNj7PCYcdpXImE5p05hUSKfy1FQqvONMLzabQlGDaEwQHtUYDGUYS0I6p+4z/mxWweOS8boMDZDHJeN1ynichpGZxynjdhii7GQGEuPkKD5OiuIpQSKtk0gLsjnI5ASZnCCb54Cj1rJs6IWcdqmsHbJaJCwmCasFbGaDwFgthu5K0yUKRYMEZbI6m3ZmaO3KgSxT6bdis5tIpNmHoJWm2nwuCZ9bosJltPRkqUhndz+ZgpdwwspIXEI2qXvtnwo31AUkaivA6ZDQNAjFJPoiEBoDxrO83JYMdf4is2stmC0W+qMSnUNGDhmA3yVoqRXMqdGRZYndQzLtgwqxtJHvVe8XzK3RaAzoDMcU2oYM/ZAQEn6XQYDm1mjkihJtgyodwwrZgoTNLGipKjKvVsMx3grrGFYJJ4yprzqfxuwqjTqvZuiNIipdEYVswRhXbgoUaQ4UcU6IwRgeHqa7u5vly5cflpA/ntS4/veDvLotzcpFdj75/uq9hLfHOkq6oHA4TDQaIxoT6Lix2mswm2XWLHPh80yvSeFrkc0Zk52XnlfB+y6ZXF91090jPPhMgv/9Zj0uh9Hm2t6R479/M8on3uPhxOU2Hn4hy20PZ/jmx9w89GKBbbuLrF1s4eWdOharis1uaHuuPFVjTs3ULwnHE+l5LYQQJJPJ8f0bLVf7Si2xydDT08O73/1ufvOb37B27dojvMZvSLxFfCZDsVicNDD0UHE4TsyHs8yxsTFCoRAjIyO4XC6CweBBZdSkszqPvZDg74/FGY1rSJKEIkNDjYWaoAlJkmnvzjGWFHu9J69Lxm3P4XNpLGgJEPQrWC1G2nI6C6NxnVhSZyyhM5YUxnNCJz9JRJokMaF6YzzbLBI264T/WyUcpf9bwaRISLKEhNHiyuQM7U56/GFohvY85/LGxFg2Dwfiu0IIdE3HYhJUV6oEvAouu7Fck8kYldeFQZSyeUjnjJbbWFIwmtibkAkh0ApFLCZBfVChud6MqhqVolgaBiOMt78M+JzQEJSoDRgVrXQOuoYFfREJTZcBgc+eZ1YV1AVNFDSZrpBET8hYJ5tZMKdG0FJjOFF3hWTaBmVGk0b8RUOlYEGdRp1fpzei0DqgMBwzXrfeb5Cg5kqd4bhM66BKzzhBqvJozKvRaA5qZPISHSGV3SFjNN5qEswOFmmpKuKwCIbGjGmxwZgMSATdhhaITC/DQwOHnbu1c3eGH/5mkFhC47orKrngjOmZpJppFIuCzTuTdPZkGQjlGRzOMTCcJzKSf00+nPF5mD/bxilrPJy02k1NcPp9ZTbvTPON6/v2O8YuhOCT/6+fplozX/rwHsO8G++M8eKWLP/z70EsZolv/SqOLMNn/8nF125IsW6xic27obJCIZZRsNlVanxw7TlTr/Ycz6RnMuRyuXJLLJvN4vP5yOfzzJ8/H7PZTH9/P1deeSW/+MUvOOWUU4726r5R8BbxmQzTSXyOBumZbB3i8TihUIhoNIrNZiMYDB5cqbUvx833RNnalkUICUne0wJz2CQiIwU8LpWmegsyaXIFC6NJlURq713tsEkEfAoBr4LHJeNyyDjtMk6bhMUsI8atBEqEJZE2KjnpjChXdTJZQXr8OZsTr3swmVQwqRJmU+nZ0NlYzBNbZEY7zGQCVZHIFQQ9/Tm6+7OEokVAojJgoanehskkG8RmnESlsweqMgkQOvmchhA6ZrOMz6PidavYrAr5okQsaQioS5Ako+oT8Mg47RKyLJHJQ2jUmEQDQxNV7RP43UYoajYvGB4TJHJmBDISOm5rAa9dByRSeZVU0YQujLZVpavIrEqdKj+EEyY6hlRiaUM31Fyls6BOx+cU7B5WaB2QiWdkTIpgTrXGwnoNj13QPqzSOmCEo5oUwZwqjfm1RSocgoExQys0MKogMAhSS7BIg9+oIHVFFLrCKum8jEyB5qBgQU0R2yEMwwghuPexMf5wV5iAz8S/fqSGOU3HdvaSrgu2t6V58oUxnnk5RjxpnG88LoXqSjMWU5Kmeifz5viprjRTWWEiFEny5PNh1m/NMhQxPn9NdWb+7RNNNNVN3/u988ERbr47ws0/noNjkria3b05vvLjIT72Hj9nneAsv59P/VeYxXPMfOK9XgbDGv/xv3He83YbiiJzx2N5zjnBwlObjDBSq11FVRWufVuRminGSr3RSM9roWkaIyMj/OhHP+Lee+9l9uzZ9PX18cMf/pALL7zwaK/eGwlvEZ/JMF3E53BFzDOBkrAyFAoRDocxmUzlMfmpTJckUxrPvJLg8RfjdPTmAclIWJfkvaolqgI1lSrVlSYcNgWz2Wjv5fJGq2okrhNLaKQyYr+kQZHBYZcNU0K7QZAcNgmHTcZhk7GYDcM9kNAE6LqEphsJ58Wi0X4q6gYp0TSjXaVpxhRXviDI5Y0qTzYvyGYNUjWZrudAMEiVIWTWdJ18XpDPj28ISUJVZMwWYz0tFjNFXdojDp/wPu1WY5uN/yGagKIuUdSN6gjsqRLpukCWJVSzgtlsQpINspjPFshmciAEJouKw2nFMs4k8rkCibE0xYKG1W7CW+HEbFHRdZ34WIZCOk2VT8YXcJKTrBQ0GYtJsKBOZ2G9hg7s6lfoGDLG3z12nQV1GvNrNZI5mV2Dhj+QphuC6AW1RWYHNQqaxO6w0QpL5mTMqmB2ZZE5wQLDfa2MZm0I+xwGYwrnL81itxzcDtB1wW9uC/GPJ2OsW+7gU++vxuk4NiMGhBC0d2d58oUxnn4pRmSkgMUsccJKN2ec6GXJPAcWs172Lqqqqtrva/UOJOkZVfnZL1pRFcEXPmhjdnNwWvyCfnXLME+/nOCPP2qZ9Oe33D/K3Y/E95rmauvO8//+d4SPv9vDSSts/O3JDPc+leX7n/Xwv3cZ4rYiCpIsk9NVLCaJi06SWNY8tf09NjbGzp0737Ck57UYGhrimmuuYfbs2bS1tWG327nwwgu56KKLaGmZfL+8hSnjLeIzGTRNK4+aHwpmQsQ8UygZJobDYSRJKpOgqaQVJ1MaG7anWL81xStbk6TSAkmWDL2KwLjwqxKCffVFLoeMz6NQ4VZwOxXsNhmzSUZRJYRutKgK2h6CkskKUhmdZFonnRFk84d2CMmyQTSEKD0MsiP0EgETKIqExaIYomizjCSDpkM+LygWBQUNg2BpAMaEmbGfGddvjZtglpe67/6XJOMfqfQSkoSEhCTva28gScY6m0xG9UcTctnrx6wKPE6jcqXpEmMpaTwYVRD0Ql0AFLlIJKYxHLcjkDEpGtVeHYdZkMpJjKRNFIWC0HXGRtKMhhNIElTWuKkIOJFkGY9dZ0mTztwajeGYzM5+hYERQ9PTVKmzsEGj2qOzO6ywc0BlLLWnCrSgzqgCDcVk2ofVsjeQU02ypMlEU0BDAKaD5CuaJvj5H4d44sUEl5zj49rLA8fkZ204nOfR50Z54vkx+ofyqIrEqqVOzjjRywkrXNisxhsvGTY2NzdTWVn5uq8bjgvGohm+9N3deJwy11yiYzMfvl/Qf//fAAPDeX72H7Mm/flXfjSI2SzxzU/tMZW8bXya6+dfC2K1SPz7/8So8itcepadH/85w2krzby4Q+BwqqgmldOWCM5eMbX1KZGeFStWvCFS1F8PkUiEK664gm9961tccMEFAPT393Pffffxt7/9jXe+8518/OMfP8preVzjLeIzGQ6H+BxPpOe1yGazZa8gTdOorKwkGAy+rhNqOBymra2DiqqFDISguz9PW1eG3b05chMISkl3Y1JlTGYZVZFhPBh0Mn3Pa6EoYDUblR6zScJskjGbDH2NSTW2ta5DQRNG5aUgKBQFxYIRvVDUjItlobCnPSbJEqpcWjeDrAgxfoCKfQ9UaX+fmdd8u0SEJIzqjCRJyBIwYTm6kMb54fhxIu35WpL2/b4sGdol4/WNdTapEooiUdQlwNBgVfslnDaZTMFInBcCrGaYXQMOq0YsWWBgzEpRVzEpOnNrdeqDCvG0zM4+iUxeQpF1rOTo7Y2TyStU1rhxeWyAYFalzvJmoxW2a0BhZ79COidhtxg6oQV1Rjtr58DeVaD5tUVm+fNs27GTjNLASCFIImsQpFmVhhaowjG1U0OhoPOj3w7x4sYkV1/s513nVxxTn7VcXueZl2M88swom3cY/cmlCxyceaKXU9a4cTn3Flxns1k2btzI3Llz8fv9B7WsnR1p/t/13eQLOl/+RAOz67WyX5DVai23tadqqvfF73bjdCj856f3NS7MZHWu+/deLj/Xw1UXeAHjnPelH0XwexW+/OEKXt2R54Y7UnziSgcv79Bo79NorDUzPCohm0w4bPCZywyT0NfDm430jI6Ocvnll/PVr36Viy+++GivzhsVb0VWTCeOBT3P4cBqtdLQ0EBDQ0PZh6KtrY1cLreXYeLE99Xb28vw8DBr1qzCbDazYM6e1xNCMBrX6B8yiFDr7gy9Q3lGxoqkkkV0sW8obOlCL48LqSVJAnl8jkmTyGQ0Mpnx159w/JZ4tpiErMD+jnQJNMFEimtSMEiV2SBVhg5IxumQ8bpUqgMqLoeCzSpjNUtYLLKhE7LIhk7ILKEq0NHeiiQJFixYcMCJuqJmVLRyeaPVlssJ0llD/B0bF37HUrox1ZbRSaYEmYIhWJYlKBakPWRJlihKEr1DErKsGxUlSRhj/1aZ7mGZVFZBkhRmVUGlN088VaCt38L2XgmTUmRurU5tQCWalGnrt1JRZ8Nh0VG1DO3tI0gmG4W8m66wCbtFsKRR45J1OcZSMjt6FTbsVnh1t0qDX2NRgxGXsTuksGtQ5dldZp5HpsY9l9WzLfidWcIJowrUMazSNmSiwqHRUlVkVqV2wArQH+6K8OLGJB++qpJ3njW5wd7RQDxZ5N5Hovz90SjxhEZN0Mz7L6/i7JO9BAOTE4+SS/X8+fPx+fb/XhJZSBqdTPTx1q4uYG6znZ98Yw7f+mk33/1FL7/74XzmzfPt5Re0adOmKU0QFQo6XX05Lj5n8vVo7cohBCyYbZnwvQLDUY2LzzL0Pk+sz1HhkakOKGxpz7NuqYkNbQKHU0FWJM5ZJaZEekZHR9m1a9ebhvTEYjGuvPJKvvSlL71Feo5THNfE51AIy/FOel4Ls9lMbW0ttbW1FIvFvfJpSj4jw8PDFAoFVq1aNenFXZIkKjwqFR6VpfP3NRjLZDV6B3N09eboH84xGCowliiSTOlkcjr5gkDXQWiv8dSRJhCZ8S/k8eXJilFRslklHDYFp0PB41Jw2JVxIbOMebxqZDEbhMbvNdbR7VSQ5cPbbwebJK4qEup4DMfBIJsTDEY1BsMaXYMFOvt1wqOC3DgRkuXxyTZZYjQuEUsC6EgI7FaJ/ohM55AMWKj1Q22gQDJToHWcBNlMeRbUawR8FrrDMt0hB5UNDipdGqHBUToHC1TXeUjn7LzUptAc1Fk6S+PURQV29Sts71N5cKOC3SJYWKdxxrwkW3Z0kLe0MJRw87f1EhVOowq0dnaeNc3QGVZpH1Z5abeFV7sETQGDBPmdeztAv7w5yX1PjHHR2d5jhvRERgv89YEwDzwxSjans3a5i8vOD7BswYFde0su1YsWLcLj8RxwGSMpiYGxia8lkCWo9ULQb+aLH23gX77Wxt0PRnj/FdX7zRFrbW3db45Yz2AeTYc5jZMTjV2dOWQZ5s3aQ3yeWm8YE65bamEoorGjs8ilZ1p5fH0BVTXcy21WCUVRCLgFK2a//vZ8s5GeRCLBVVddxac//WmuuOKKo706b+EQcVy3unRdp1CYQu9lwu+XxNBHMqjuaKBkmNja2oqmaVRVVREMBg/LkfSNgkKhwKZNm6ipqaGuru6orEM6K+geLLKrq8COLp2hqE5Bk5AVQ3tVJkSShBA6EmCzKegY5ZWmKqiqkBiJF+kfMSOQ8NoyzKvTsNoc7OpXGEtJmBSBlk3T1h7D67NT3+RFR8FlEyxt0lhUrxFNymzrVegOG8dFrSfLyhaFKq9OZ8jQAo0kZRRZMDtoCKUrXUZifPuwSnfEaJN5bDpzqoo0VxZJpQp87tvdBHwmvvelBkNYfxTRP5TjzvvDPPrsGLoQnHGCl3e9s5JZ9VPQyCWTbNmyhSVLluByvX6MRkmoL0vjrU7YZwz8v37ezatbk/zuh/P3aadNxES/oHg8XtYFbdipcsOfw/zim7OoDe5bofrmL4ZIZ3S+98VawGjpffI7YU5cZuVDV3i49aE0j7+c42sfcfPDmzMsbFbZ1SfhdJlQVIUPnCto2r9mG9hjZLly5crDDmc+HpBKpbjqqqu47rrruOaaa4726rwZ8Far63BwPOt5DhXFYpGenh7mzJlDdXV12SuotbUVt9tdNkw8FFHl8YxMJsPmzZuZPXv2lISpMwW7VWJhs4mFzSYuHf/eSFxn064CG3YV6BnWyeclZMUgQbIik8kKEAUEgs5+he5hBUmSmVun4XNLDERNvNRuQ5Z0atxRVs9SSBXdtA3YmbPQgSzy7NoWwmmX8Sys4LmdJl7YpdBSo9MSTODIbEfyLGN32MF96yVcNp1F9RrnLc2RzkvsGlDLLtFeh878miKrmowqUHdEoX1Y5dUuMxu7TWTiOt6Ak89dW3FUSU9ktMCf7x7m4adHUWSJt5/h4/ILKqmunJqOZmLcwlTTxNUJb3dPu8t4qIohgL/6kiqeWx/nxluH+OyHJg8XBVAUpTzIMDFH7KVXs5hNFvRCmHy+ci9dUDypsaMjx2Xn7KlMbdhh6PhOXmmlUBQ8tynPygUmNuwqomkQz8jY7cZxNrduaqSnra3tTUN6MpkM733ve3nf+973Ful5A+ANX/F5M5KeZDLJ1q1bmTdvHhUVe5tvCCGIxWJlw0S73V4WVarqG5sHl9Khp9KuOBYwHC3y3OYCW9o1QqMCaQIJkiRpXDBljMTLsozVLFg8y/BuahuQyBUk7KYsdZ4RvB4n/TEP0YSMrutEhxNUugosW+KjM6ySL8p47BrLZwnm12sMjRpVoP4RI9B0TrXOksYifqegc3wiLJIwqkCzKjXm1xgTaLG0ROuQwtYeGYtFxWbWaa40wlLdtiN3OkmkNG6/L8TfH46i6/COsyu48p2VVHinbrw41dHs3WGZwbHSlOA42dENwvNaY8PFdUUCTmM73HTnELf+Pcw3PtvEuhUHF9Xx3f/tZ2A4x+evkcphm5WVlVRWVvLCFp1f3TrCf3+hhuZ6gxD95KZRuvoL/OTfKnlpW54b707zyfc4+NMDeaoDCv1RGYfLjNkk8dnLjEy8/aFEelasWPGmID3ZbJarr76aSy65hI997GNvimvIMYK3Kj6T4fUOwDcj6YlGo7S1tbFkyZJJwyMlScLr9eL1esu27KFQiO7ubsxmM1VVVQc1WXK8oLRdjnY69MGgyq9y2Vkql51liKtf2V7gqQ0F+kIFhCQbLTFFopDXAY18TuKVXQqSpFPrh8VNMpGYhbZwLXJUUOWMMM+XICtVoshuBBLPb85Q4+zhzNU17Bq08dR2hWd3Ksyr1VnbUuQ0U5HtfcZEWNughQqnzpJGjQtW5EhkJHYNqrQPGf4/bpvOvBqNfDzGvXcM8JmPzEJYnOzoV9nebyLg0miu1GjyF6ckmj0UaLrg3kei/OnuYdIZnbNO8vK+y6qommKFp4TS8TIV7YrLKtDc+rhg38hakyX2POTS1wLnBP+jqy+p4h9PjPD0S7GDJj5jcQ2/10xzc31ZF1RqbT/ytB2vy4LXkUIIE+msYHNrjnNPsiPLEk9vyFPpkxmJGwHC6byM3a6iKDJvW6HjtO3/PBmNRmlvb3/TkJ58Ps8111zDBRdc8BbpeQPhuK74CCHI5/P7/dkbScQ8FfT39zMwMMCyZcsO6aQ00TCxVGKvrKw87kWLg4OD9Pb2Hna+1LECIQSb2wo8+nKBzgEdZBllvBpUKjmoJhlFVbCYBItmSSiqQls/5AoSFY481c5hkhnoT9Sims1IaJywAJqroGNIYUefTL4oUenWWTZLY06NTndIYWuvQiRujLbPq9VY3KjhtRtVoNYBhaGYghCC6HCcq95moSkgyBUNQfTukEosYzhS1/kMElTr01CmqRO2uyfD//yun9bODKuWOPngu6tpbjh4E71wOExnZycrVqyY8RuA7/2yh62tKW76yYKDOkd97GudzJ9j5XPX1ez1/UJR8KGv9rJuicxZq2LE43G6w5Xc/7yTr3/Mi8tp4uu/jHPJmRZe3iEwqTKxnILDaabCBZ+8mP2G05ZIz8qVK99wN0aToVAocN1113HSSSfxxS9+8U1xDTnG8FbF52AghCj7+7wZhLxCCDo6OkilUqxateqQdTsOh4Pm5maam5vJZrOEQiG2bt2KEKLsFXS8VEvA2C7d3d2MjIywatWqN0wrT5Ikls8zs3yeGV0Int+U57FXCgyPCGRVQVFkikWBphXJ52BDqwKSRkMl1NbLDI2a2D7cgEkusqA2RWdPiJGsj+d32HlxJ8yr17hgVZFERmZLt8Kjm008vV2wqEHn7CUFNB229qjs7FfY1qtS7TXaYOevyJPISvzmnhQ+v4fHtql7glJrNBbWFhlNSXSGVboiKr0jKmZV0OjXaAoUCbp1DmVYL5fX+fPdIe56IIzbqfKljzVw+gmH5ow8PDxMT08PK1eunDQmJp2H1iEVVSmJl43qzrj1k2GOKY3reiaMsxd1w+izoBki8AU1xpDFisVOnnopxu6eLHOapkbShBCMJYp4XPt+znd1ZsnlBSetrGDx4nqEEDz5mzAeZ5HIwEYe7qxGktzYLEZIsddrJK9LElx9ltjvtOSbjfQUi0U+8pGPsHr16rdIzxsQx/WV4LUH45uxtaVpGtu3b8disbBs2bJpe89Wq5XGxkYaGxvJ5/OEw2F27dpFPp/fyzDxWN3GQghaW1spFousWLHiDUuAZUnilBUWTllhIZvTue+ZPC9sK5DJSSiKUQnK5TRA0Dus0BsGq0mjxpvA4apg+4ALVBeNNUW2bhvC4bbShotdfSoVzgJr52oEvDJbexS2dMts7FSo9+ssb9Y4cV6BtkGFbb0Kj2w288wOwYJ6DS2dZGt7iC98bDatQypb+1S29JqodOvMqy6ypL7AylkFhsZkgwSFDWG01SRo8hdpDBhTY1M5tAZDeb79s266+rKce5qPD727+oBTUgfCwMAAAwMDrFy5cr8kuahJJHMSRU0qC5fLz/vcoIpyq0uRDPduk7K38/WJK9388o8DPPTUKB9//9SIz3CkQC4vqKval4Bs3JFFVWDxXKNKm8kJWrt1zjnJydp1J3Dbc2O01BZ44pU0dpsZXVIxKTKnLNIJeCbf4JFIhI6OjjcN6dE0jU984hMsWLCAf//3fz9mz3Fv4dBxXBMfGI8cEOJNSXry+TybN2+mqqqKhoaGGVuO2Wymrq6Ouro6CoVC+USYyWTw+/0Eg0Hcbvcxs801TWPbtm3Y7XbmzZt3zKzXTMNqkbnibVaueJuVXd1F7nkyR89wAVkxqkC5cS2QVoDOggcpojO3DlxOhd2DKsGGIMVcno7WKMvmmykUbDy4wYpJKbCgJskVJ5gZGLOyuVvhvlcMY8SlTRoXrckTSxti6E1dCq66RmpsSQoanL04T74I7UMqrUMKz7aaeb5N0BjQaakqcmJLHiFgYFShO6rQHlLZNWTCbtapr9Bo8Gv7rQRt3J7kv3/RgwC++flZrFn2+qPm+0Nvby/hcJiVK1cesGLqtglOnTv5QIWYQILKo+yvc+h53CqnrfXw6LOjfODKqnIsxoHQ1mVkas2btW8LeltblrmzLFgtBtHfuCNHUYO1S6xsbi2QTMPCdW4efKGIw2XCZFawqjkcuVdpa9vXLygSibB79+43Fen59Kc/TX19Pf/5n//5pjl3vNlw3BMfeHNWelKpFFu2bKGlpYVAIHDElmsymaipqaGmpqbsMdLb20sikcDn85W9go7WPigUCmzevJlgMDijZPBYx/wmlS9do5LN6dz9RI4XthUoFo0KUEFIFDRDYNw5qFLQNKp8MKdJZmDEhGoJMJTQIJ/m/FMk+kZktvS52doHQccIyxuzON0V7Byw8WKrwkutCrOrdZbNKnLqQsHND2Sx2Ow8tNGM1WRogRbUaSxpKBJNSrQPqXQMK3SFLVhUQXNQo6Va49R5eYo69I0o9EQVOkIqrUMmLKqhCWrwa1R7NFQF/vZwhF//ZZD6agtf/0wTtVWHrt3q7u5mdHR0r8qgEPBMmwWzKoyHIjCrYFJK/weTKvZqb8mSYNzAHB0jcDevSeSLkhG4+5qvl9QWMKlw+gkeHn9+jN09WRbPe/2R+V2dWSxmicbavd9zKqPT2Z/nivP2TCw+tT6D3yszu17lu79LEvDK7OzWsdsVJFnBbdX40DtNuKxriUaj9Pf3s2PHDtxuNxaLhWg0+qYhPbqu84UvfAGv18t//dd/zUiVuLe3l2uuuYbh4WEkSeKf//mf+cxnPjPty3kLB8ZxT3zejCLm0dFRdu7cOWVDtZnCRI8RXdcZHR1laGiIXbt24fF4yl5BR6rNlM1m2bRpE83NzQSDwSOyzGMdVovMleeYWVDVyu5QJS+1ukhkQFEVckImX9AwKYJkWuWVnTp2KyxqlBgeFUQSTh7eALU+jUtO0BgYkdnUWcEjOyTcliT1zlbObjERzdfSOmSjY0jBYxfYLDkee6CNr/zLLEJpK1t7FDZ3qwTcOgvrNFY0FVg3p0D/qEz7kELbkDEe77DozA5qzK7SOH2+hqbDwJhC74jx2B1WUWSBVMjywkadk9f5+cy1Vdhth6ZpE0LQ2dlJMplk2bJlex2nmm4Qm3ReIpaRyRcpB84eLhTZIFJ5TcKkCvw+Q0s0Fpta7mBnb47meguKsvf67NydRQhY1GJUgnqHCmzvyHPV+U62dhTpHtQ490QrT2/SsTlNyDK8/1wZr0MC9vYL6urqoqenB7PZzPbt28uj8m9UAqTrOl/+8pcxmUz86Ec/mrFzlqqq/OhHP2LVqlUkEglWr17Nueeey6JFi2ZkeW9hchzXxKe/v59vfetbXHLJJZx66qlvGPHqgVCaUFq5cuUxNW0lyzJ+vx+/3182WguFQrS1teF0OsteQTNlmFhy1124cCFer3dGlnE8olgssmnTJqqqqlixopbLz4MdnQVufzTH8IiGoioIXWYkpqEqAptLZUOroUtpqSvS3pOnT7Nx21MSNRU6ZywxCMCG3Q62R+fRGdeocw8z39EL/noGUtWE0m5OOGsBz27PcumpRU5fKAxy06/w9A4Tz+5UmRXUmVercfrCAppeoCeisDuklPVAbptBgpoqNU5u0dAFhOIyr7Zq9CRk1pwyC4BHdudZnbcAAE69SURBVOjUejWqvDpBt4ZliqeAbF7wzPY8Kl5aGltI5QUOsyhPNKkKnDh774lRTadcrSkUJfIaCCHtrfMpi5olVNmoEu1VMVLFXgaHQDkbbDA8+YTqRAgh6BnIcfKqfW941m/NYDFLzG00Xu+h59KYTXDGGhvX/yVFwCuzvUvH5jChKDLnrpYI+vYlc5FIhHA4zMknn4zJZNorRwz2+AVN1dDxWIeu63zjG98gl8vxf//3fzN6o1aqlgO4XC4WLlxIf3//W8TnCOO4ZgrBYJBLL72UO++8ky996UuccMIJXHrppZx22mlvuDuT0t1pLBY75ieUJEnC5/Ph8xkBjIlEglAoRGdnJzabrUyCJpuaORSU8oIOxl33zYB8Ps/GjRtpamqiqmqPFe/CZhP/8WETPYNF/vRglr6QhqLI6IrMQFhDlQX11SodAxKaZEHVskQiBWTh4N4RFYdVsLpFI7hQYluPRPtQLZ1yDc2VGWY5O6hWEry4uxndVcHtzymG90+TzoWr86Rz0rgnkMLuYQWrSdBSozGvVuPcpRr5InSFDRK0qVtlY7cJp1WnKaBj0tL89retRnvr83OIpkwMjJZ0QRIg8DkEVW6NKo9BhMyTfEyEEOxs6yFVnE1B+Ih0lH+CzSywmw0SZLcI7GYdu0VgUfeQGKtJIEkH5/Sh65DXIJUzjCUzeYlkTsZqEswJgt+n0tWbfd3XGY1rJNM6jbV7n99yeZ3nNqZYt8yO2SwTT+o8tyHDKStttPdqdA9qrFtiYVu3hNUuU+WDM1bsS3pCoRBdXV17TbU5HA4cDgezZs0q+wW1tbWRzWYnzRE7niCE4Dvf+Q6RSITf/va3R3QIoquriw0bNnDCCSccsWW+BQPHtY/PRBSLRZ588kluv/12nnnmGVatWsUll1zC2Weffdx7t+i6zo4dO1AUhXnz5h3XE0olw8RIJIKqqmWvoEPdR8PDw3R3d79hPHqmC6Uk8blz5+L3+w/4uwPhIn/6R5auIWFEZIxPg6myoLlOIZqQSWUhl81jU4rMa3HSFTJcmxc3wcJG6I3IbOkyNCzVPh0HY9x2T4hzTjejumuI55yGA3SNztJGjTq/oH9EZle/QmdIRtMl3HadudU6LTUafpcgk4feqEJXWGFgREYTEvlcgZYaQUuNoNanYzEZlZhIQiYUlxmOKYQT8nhbSuCxCfwuHb9TJ+DU8Nh0du7cjtlspqWlBU2XiGdk4lmJVE4mlZNI5yXSOYOc7DupBRJ7SJBJESjyBMfmcuXHqAQZVSKJgjYZKRDUeDVOmZvnP37UychYkZ//v7kH3Fcbd6T45s/6+eZn6lm2YI+1xDPrU/zPzRG+/okqlsy1cvejSe56JMl3PuPn139NU9QgU1CwOKyoCnzlahmHbe/zSMnIdMWKFVO6KXltjpjb7aayshK/339cROEIIfj+979Pe3s7f/jDH47ozWQymeSMM87gq1/9KpdffvkRW+5xhhlj0m8Y4jMRmqbxzDPPcOedd/L444+zZMkSLrnkEs4555zjyocG9oh1A4EAjY2Nx+Vd1f6QyWQIhUKEQiEkSSqPyR8oHmAienp6iEQiLFu27JiugB1plNp+BxvNMRAqctP9WXqGhWGIqBgj8aoKcxtUQmOCZFZGLxZZ3iLjcpnY0gWFokRjpWDlXGPce+NumUhcQtM0iqkk7387xGKj7Bq0Es4GKeomXFadxU1GFpjNYpgmtg3K9EdlBEYifEu1RkuNjtcheOqlODffl+Btb6sjL1nJFyUkSRB06zT4jQmwCqchLp5IhCJJg7jlisbnRkLHYcpSXWHCaxd47Doem47VtO8Eli4gmzeIUEmUnCtK460ug9DkNQltPJR0j8h5j8ePIjNeLRJYTJTF0vbxylLJvPG3tw5yz0NR7vy/xajq/j/j9z42yo23h/ntf8/G59lzzH/nhmEGwwV+9rU6ihp8/vthmutMnLTSzu/+lqa53sxYzowsS7z/XJnFzYdHel6L10bhWK3WY1oXJITg+uuvZ8OGDfz5z3+eturzVFAoFLjwwgt5+9vfzuc///kjttzjEG8Rn0OFruu88MIL3HnnnTz88MPMnTuXyy67jPPOO2/SSIdjCaVAzTeDWDeXyxEOhwmFQhSLxb28gl4LIQRtbW3kcjkWL158XFfAphuxWIzt27ezdOnSQz6+O/sL/PH+LEMjlNPiVZOMIkvUByX6QxqK2YwiCU5YJOF0yGzulBhLSrjtgjVzodoPT2zQCCdNyLJMvV+wYo5OvS/Nts4MrYM2xvIeQKLGW2DpLJhbq1PUYPew0QobHDX2a4VTp3VHmOjwGD/6SiOyJBGOy/SOyPRFFaJJ4/esJkG1V6fGp1Hj1fHaRbkSk8gINmzvQzcHKEheYmmZ/IQqjEU1SJDbJnBYdBwWUX7YzOKQjBUngy4gnTO8gJJZiWRWJpmTiAyM8uvf7+aPP11wwDyx/7lpiJc2Jbnph3PKN0HhkSKf+nY/l5/r4aoLvDz+Uprf/TXOF6718ueHciiKRB4rJrPC0ma4+py9qzEl08ZDJT2ToaQLCofDwLGlCxJCcMMNN/DMM89w2223HVFiJoTg2muvpaKigp/+9KdHbLnHKd4iPtMBXdd59dVXueOOO3jggQdoamrikksu4YILLjjmQitLF7DjJVBzOlEoFMokKJvNEggECAaDuFwuhBBs27YNq9VKS0vLG6oCdriYmEc21arZgbCtI8/N9///9u48Pqr63v/468xMJvueTMjKFsIecEGKilVQVLYJ4kLd9WJtvVar1VqXtvZa4WfVqr22eutS99ImE9YgIKhVFBeQABEEWbOQZCb7JJn1nO/vj0OGRVSQJJPJfJ+PRx5ZGGa+2ea8810+HzetnUogAEVE6A1SoyL8ODsEMXFRGI0wPt9AbobCzmqFfXUKJqNg7CDYtrWB2maFkaPTcboNREYIRucJxg3RMCk+Nn/tZbc9Gpc/GqOiMSjdy5hBBgZaBJ0ePQRt3Sto80SgKHrH+CEWjcEZKhlJ+oxJp0c/Al/bYqC22UCH53AQykxSSYtXaanfSV5GNIMG6p3QhQCXT6G1U6G100Cry0BLp4LTdXh2qItyaO9PtPnwEpfJoJ/OMhr0buyKIlCFgnZo9kftWu7S9Lc9PoWOQ4FHHHE6TEEPV66mJl5/cw+2/xsdqMFzLFUT3HzfXgpHxPCr/zrcqqJ4VQu2Na385aFsUhON3PfnBmKjFSYUxrL0P26SUqIxmSNIiRPcM8941O/MkZWqe2rWtKsAqsPhCPq+ICEEL730EqtXr6a0tLTXl8fXr1/P5MmTGTt2bOAPtgULFjB9+vReHUeIkMGnu2maRkVFBcXFxaxcuZKMjAysViszZsz4Rkfz3ta1EbiwsLBbLmChzO/309jYiN1up729PTAbNHz4cBl6jtC116m7+0tpQvDJFg+29zy4vHo/MJNJwRRhRBMKXo+XiAiF2LgoVE1h5EAYM9jAwUaFLfv0pS9XuwvF42T+FelsrzLwVbWCqikMSBYUDtYYmSNodAo27/azvyEKv2YiwuhncLqHwsEmPv7EzqIVjTx83yiqmk1UN+h7eMwmQW6qRl66Rl6aSmzUodkdt0LdoRBU23I4CCmKICVWkJagkR6vkRqvzwqZjtmO4leh06sHFT2sGAKbkr2Hlrj8Gqiavsylal3LaOKIhqR6XZ+u980mvUFpXJQgLkoLvB0Tqc8m/ePfdSxb18iiZ0cRGXH8n+sde1w88EQVd988gMkT9Kammia44481DEiP4KGfZ/DJFhd/W9TKf81N5N9r3cTFR2EwmzEZNB641kj0EaGqrq4ucEK0t5aKg70v6JVXXmHp0qUsWbIk7J9bQ4AMPj1JCMGOHTsoKSmhrKyMxMRErFYrM2fOJC0trdcusEf2lho7dmyvrjv3dV01elJSUvB6vbS1tZGUlBQomBjOy13V1dXU19czbty4HruAqZpgwxY3xWu9+LRDAShCwWw24lcVfB4veZkRuNUIOj2Qa4GJIw14fLC+Alw+AyaDxjmjFUYNgiqHvhfI0apgNAiGZQnGDhLkpgkqHbBtv0ZVoxlVGNH8Xuqqmrl9XgK5FgN+Vd9MXdlgoNJhpMOj/36mxWvkpmlkpWhkJmsowkd5eTmWzMEQacHhNOBoM9Dg1Buw6gTxUfppsKRYfT9RUoxGXJQ47r6f49G7snPCy2GaBu0eBadLoblDobHdwK5KFUxmJg7zU5h3/Ho+L5fYefs/rbz6pyGB2kXlO1ws/LudO65LY9L4GH77v42ommDowGgq9kN0XBQIuONyhazUw8Girq6O6upqxo8fH7T9cV37ghwOB42NjT2+L+jNN99k0aJFLF++POT2eoYpGXx6ixCC3bt3U1JSwvLly4mKimLWrFlYrVYyMjJ6LARpmsbOnTvRNI2RI0eG9YX8WF1VqocPH05ycjKgf726agU1NzcTHx+PxWIJmRMl3aGr0Fxraytjx47tlc/brwpWf+yi7CMvKAYMBgPmCAXFaEBgwKSojC0wU9ek0OSE5DiYOFLhg8+aafVGEZ8Ui6LA8Bw4PR/ioqHigIHtlfopqtgofSls9ECN5FjYU6+w/AM3xpg4fanN4CMn2cWogSaGZBoxGqDRqQRCUF2Lgib0jc8xBic5aZCfE8WAJP0EmP51g1aXQnO7QkuHgeZOheYOA22dylFFCo0G/eh6tJnAUldkRNcyF5iMh5e6upa9umr4+FW95o/Hp+DxK3h86EfY3d9c7oo2C1obO7Db27ntyiTSE775tCuE4NaH9pGXFclD/50d+PhjL9jZU+nhr7/P4fMKN8//q5UZ58fx4TaIS4hCaIJrLzIwdujhn43a2lpqamqCGnqOpyf3BRUXF/Pyyy9TVlbW5/d2SgEy+ARD1wyMzWZj8eLFGAwGZs6cSVFREdnZ2d0Wgvx+P9u2bSMpKYlBgwbJJZwjtLS0sGPHju/crCuEoK2tDbvdTmNjIzExMYFaQX3pib07dW3w9vl8QQnKHq/Atq6DD77Qe4EZjAZMJv0ItynCRHQkjBpspK1TodKuhwRXWwfNTR1cPMXCAYeJTo9CUpzgjHwYOxjqWxS27VfYU6sHkNR4wcg8jeUrDoDm57+uz+erKo0DDhN+zYhBUcmId5GfZSA/20hSrN4Bvcrup3xnI37TAJo6zIEwkxSrYUnUT4KlJ2qkxQsijvjx0DRocym0dOoBpdOj4DpUc6frxeM7uQrOCvpprkiTHprio/UZpq7XiTEaMZHw+z/vp92tcNvNg6lpMmA2wY8KDs/87D7g5t7/V8nt12Uw9Wx9z5+90ccdjx6k6MIELp+WxG+easBsVvAZojFGRiI0wfSJCj8+7fAn2VdDz7G6c1/QkiVL+Nvf/haYzZdChgw+wSaE4ODBg9hsNkpLS/F4PIGZoFMJK263m61bt5KXl8eAAQO6edShrWuv07hx4064SrUQ4qhaQWazOVArqC8eq/0huuo6RUREMGzYsKAG5fZOlX8s7WTbXj/GQ81QQaAYFCLMEUSYYMwQAyaTge0HBH5VwdPp5pKJEQywRLB5j8L+en2GpiAbxg+F7DTYfVBhe5WBKgeAQmdbJ5dMimRkniA+GqobFXbVwL56hU7voUJ7Zg85KV7o3M8ZozPISE/Ep0J9i4G6FgVHq4H6VgOdnsPLXAkx4tCx9kMvsfr7cdGHj5ofSxyqz+PX9H5c/sBeHw53Yw8cY//mcpkQesBytOljamhT2F8nMB5KYSajYGiGxtRCX+D2r9gcrHy/mZcfG0p8rD5788ayZsr+08b/PpTN+1/4Wba2hfxhSbjUCDRV44xhcOXUw8vltbW1HDx4kPHjx4fUrOip7AsqKyvjqaeeoqysLDBbLIUMGXz6EiEE9fX1LF68mNLSUlpbW5kxYwZWq/WkLkROp5OKigrZZuE4qqqqsNvtFBYWntJep87OTux2Ow6HA4PBEDgm35fafZwMVVXZtm0biYmJfWp2sL5R5f9KnFQ5BCaTHoCEJoiOVsAYofeQGmQgNho27VQxRUQQZRacNcJAfo7CAbvClj3Q7taXu8YOhtOGQnQkrPzYw9a9EJ+kL3mkJwiGZQsKsjUsidDaqbC3TrCzyofdGY3ACAiSY/zkWRSyUwXZqRpxhzY/d3igoc2Ao02hqd2gn+zqOLrIoKLoS1wxZkF0pCDGzKHX+pKXyai3teha5up6ohQCfKo+M+T2Krh9h94+4nVLhxLYY2RQBCnxgl27WojAyw1FyaTFC5rbFSodBvbWGyjIUnnm+a8pGBLNfT/NQlHA2aFy+yM1jBsVS3ZeCl9VG/C5vajCgN+vMWSAxs+KzIGfj4MHD1JbWxtyoedYJ7MvaM2aNSxcuJCVK1d+bxFPqU+Swacva2hoYMmSJdhsNhwOB5dccglFRUWMHDnyWy9MDoeDPXv2UFhYKDfaHUEIwZ49e+js7GTMmDHduoTjdrsDx+Q1TQuEoFD5+h/ZdysnJyfYwzmu7Xu8vLSkA6dLwWgyHApAGhlpJjx+Iy4vWJLgQKWTmFgzkXExCKGQnw1nDjdgjoBt+xR2VutLShlJguE5Gn974WsunJzM6adnsKvGQHUDCBQSYwRDswSZCZ201m1h9OhROL3x7K7xUN0Aza5YNPQLfUK0hiVJ6MtdiQJLokbsofwrBLi8eohq6dDDUKdH35fTVcW50/PDGpV2LXNFmSEyQpAQLUhPEKQnaKTEC1rbfMy/fw/TL84hOy+JSsfhWamUeI2MmE5eerOSy615NLqjuH6qyr/Lmti0WyE7L1kvpuhVUVWB36+Rmya488rDx7T7S+g5niP3Ba1evRqPx8Pll19OU1MTDz/8MGVlZf2+Blo/JoNPqGhubmbZsmWUlpZSWVnJtGnTKCoqOqpuwxNPPEF+fj7Tp0/vN8sv3UHTNLZv305ERAQFBQU9OpvRtYfAbrfj9XoDtYLi4uL6zCzKkb6t71Zf9c6GTkrfdaEKA8ZDM0AKgmEDI3C6FBrbQPX7UXwuLpiUyI4qA60dEBsF4/MVRg/Sl4K27YPqBv374enopOj8KEblKRgM8PVBhV01CgfqFfyagsGgnwobMkAwOEOQnqifRtt3sIM9NV7qW0241Hhc/sOzfTGReghKjjt0ouvQS0I0HJu5hdA3LLu8+uZlfalLX+YCfUlLUcBkOBxyIiOOPu2laeB0Q2uHvrna3mpgV7WGV9NnNaPNgrx0jYHpGlnJGnUtCss+9KIZo1AMCoMyNJKjfXywVWCOjCA6QqW5TdNnmnx6f7JfXxsV+Bmuqamhrq6uX4aeY9XU1FBSUsLSpUvZuXMn11xzDVdffTUTJ07s9597PyWDTyhqa2tjxYoVlJaW8vXXX3PBBRdQVVVFe3s7b731lqwjcQS/38/WrVtJSUlh0KBBvf7YDQ0N2O12Ojs7SU1NxWKxkJCQ0CdC0Mn03epLvD6N11e0s2GbD4PhiB5gRoWRQ0y0OAX2VgNCCEbkwuihERyww44D+n6Z7DQ4Y7jCQIvCmk/d7KgyEBMXBQhy02FELmQltnGwcgepOadxsDmKvXUKjlb9exZlFuSk6WEoJ02QkSRwuzqoqW2gst5Np5qAakyl3RdLW6fhqKUug6Lv/4mPhtjIQw1LI8EcIYg0QYRJDzgCfRZIHOrM3nW0XQgCJ7naOrsKJSo4XRx1oivKLGhr7qDZ4eSu61NIS9CP+lcc0EOd16/3J0uO9HDG6Cgq9kNtk/6xpDiFpjZQ/Ro+n0pSjMZDN0djNBwOPV1lDsLlwr9hwwbuueceiouL2bFjB0uXLuWzzz5jwoQJzJs3j4suuijYQ5ROnAw+oa6hoYEZM2agqiput5sLLriAoqIizjrrrLB5Uvo2Ho+HLVu2kJubS2Zm5vf/hx7UtZHSbrfjdDpJTk7GYrGQlJQUlBIDP7TvVl/iaPbzf8VO9tVqeg8wg14AUVEUBmUq7Kv2YoqKwmAwkJehcOYIIxoK5V8Lapv0jcLDsuGrHQ6qajr4ydxBVDcZqWs+VL8nQWNknsLQLMhJ0ys5769XqHIoVDXoMyugbxrOShFkpkBGkiAp2o23s57GBgd+v0pC8gBMMRY8agytnXqNnXaXXsTQ5eFbGo1+v5hIfeN0whGbqBNiBMlxAo/Lx22/38f552UyIDuRA3a9UGKkSTA8R7BndxMVu70MH2XB6VIwG1XsdhcxsZGoGvh8KpoqSI5ReeCmGExGfYzV1dXY7fawCj0bN27kjjvuYNmyZeTl5QU+rqoqn332GdXV1VxxxRVBHKF0kmTwCWV1dXVcfvnlzJ8/nxtvvBG3282aNWsoLi5m8+bNnHvuuRQVFXH22Wf36SOmPaGrRk9BQUHQK2YfS9M0mpubsdvttLS0kJCQEKgV1BshqDv6bvUlFV+7eWlJB22dYDAYMBoVzJFGNE3BhA9nhx+LJRaPaiTKDGcMNzA028DBJoWtewStHaCpGsLbifU8DY+zksjkMXx90EilQ59JMZsEgzJgaBYMGQCpCfpm5uoGPQjVNCo4Wg9XW44w6kti6YkqkUobfncTiuokMz2W7AEpJCUdPj7t84OnqzmpXz/RZVAOL3Epiv5M3fV2ZIReBNFk1GeA3F5o6YCWDoX6ZoW6Zqi0g4b+s5QQIxiUIRiSoVd1/nSHSvleBZPJSF66IMbsZ+MOFVOECTQVj1egaYKUWD8P3RyLwRC+oae8vJyf//znLF68mCFDhgR7OFL3kMEnVFVVVTF79myefPJJpkyZ8o1/93q9rFu3juLiYj799FMmTZqE1WrlvPPO6/eVm7su7GPGjCE+Pj7Yw/lOXadJ6uvraWpqIi4uLhCCeiKsdnffrb5C0wQfbXbxz1UdePx6AUSTSSEm2oTHB36fn7hojeFD4/i6WuBXIdeicNZIIymJCu9t8rCvzoApwoTZJCjIVRg1UGHQAIW6ZoU9tbC3lsAsT3y0ICcdctMgJx0yU/RQ0tAG9haF+hY9hNhb+EaPLoOiEWl0ExupEhcTQVxMBOYIhUiTvuSl9+3S708Th/cAebyHT3G5vNDWodDSwRHVovWltPRE2PFVM3FmH//9k1R8fthVA9v2Q0OrghCCjtZ2Lj07mop9UNsEfq8PRdFbgah+lbR4jQdvjgkE8aqqKhoaGigsLAyb0FNRUcH8+fMpKSmhoKAg2MORuo8MPqHK5/NRWVnJ0KFDT+i2//nPfygpKWH9+vWcccYZWK1WLrjggl5vptfTHA4He/fuDcl+ZEIInE5noFZQVFRUoFZQd4TVnuq71Zf4/YK1n3RgW9uJxqECiEaIjTHi9un7foblGsjLNLPnoKC2Ua+rM3iAl8q9dg4cNDB1Shb2NhPOTn3mZUgWDM9VGJatYDLBvjqFA3aoduizLKAfPc9MgaxU/XRZeqL+OjJCnxlydkJbp0KbC5ydCq2dghanSqdbw+sHTZjwC+NR+3SOx2zSNzZHRUBCrCAxlkMbpyExVpAYA+987MT2ThvnTrLQ5o3A2anf50CLwNvRwSebneQPS8XpNqCg0e70YIqIQNMEfp+foZlwx09iA3t6ukLPuHHjwqby+44dO7jppptYtGgRo0aNCvZwpO4lg0+4UVWVDz/8EJvNxnvvvUdhYSFWq5ULL7ww5ILCsaqrq6mrq2PcuHH9Ylaro6MjUCvIaDRisViwWCw/KKz2Rt+tvsTjFSx918nbH7lQDHoA6ioAqBhNGAwG0pIUxgw10dbeye6DEbh9EQhNo72lnYsnRXFmYSw7q2D7foG9Rb/fhBgYmq0wLBvysxUURaHKAdUNehCqbTp6z058tCA9SQ9CSbH6/0849DouSj/hdTjwOrA7mlCMkSSlWEhJTiEyyowCmCMg0nT4RJiqgcujL3HVNcHBJqhtBHvL4aPxUWbB4AEwNFPfOP35Dj9fVenLgWmJ0NHho9mpXwX8fhW/T2PyOCPzLo4OLMOFY+jZtWsX119/PW+++SZjx44N9nCk7ieDTzhTVZVPPvkEm83G2rVrKSgoYM6cOUybNq1b+tj0FiEEe/fupb29nTFjxvTLqXiXyxU4Ji+ECISg7wurwei71Zd4vBpvlbXxn41uFKMRo0nf/Cw0jdhYE6owoiiC0YNN5GWaqG/W2LZH0/uFKYKxQ42MHWogK1UPOLtrYHeNoNOj339qAuRlKORZ9NeWJHC6FBwtYG8FRws4WvUX/zGbmBVFP90VF63PDJlNejDTNBWPx43H4wEhMEREgxKFVzXg9up7erzHLJ9FmQVZKdDY0MHGLxqZf0UasfFRfH1ovC4PCE3D1d7JyKHRfF2l6f2/VBXVL1D9GldeGMEFEw7/PFVWVtLU1ERhYWHYhJ59+/bxk5/8hFdffZXTTjst2MOReoYMPpJO0zS++OILiouLWb16NYMGDcJqtXLppZeSkJAQ7OF9K03T+Oqrr1AUhREjRvSJY+I9zePxBEKQ3+8/qlbQkYQQ7Nq1C7/fH/YNal1ujZdKW/h8mweDyYQx4nAASk8xIRQj7S6IMsPowUb2HminxqGRkh6vL5kZ9Bme4XkG8rP1XcZ7a6GyXlBph3aX/jgRJn3PT1aqgiUZMpL1MBRlVvR9OZ3Q1nHo9aGXdldX41G9Hk/XsfWuF6PiA82DSfERG2MkKT6KhLgIoiMVEmMgPUlvcLp9r4+XSpvJyExEVfQZz/gYGJIJ5V86aeuA6NgoFAXcLr1fl6ZpKJrG7VfFMnLI4VnScAw9lZWVXHXVVbz44otMmDAh2MOReo4MPtI3aZrGtm3bKC4uZuXKlWRmZmK1WpkxY0af6kujqipbt24N6yasPp8vUCvI5XIFQlBsbCw7duzAbDYHve9WX+Ls0HixpJnNOw4FIJMBxWBAATLTjaSlRFBZp+H26iezGh1OUhIUzjo9mSqHgfpm/akrOhLysw3k5xjIz4YIs0K1HarsUGkX1Dfrp7W6JMSAJRmS4xRiotBfIiEmSjn0Wl/K4tAJrsBrDm9ybmpVqap1ctDhorkd/CIOlz+Ktk4jflW/rdAEeRkwepCBuBjBniqNz7b70TAQFSEwGzUczfqNVb/GgBTBvTckEBt9ONwcOHCAlpaWo4qj9nc1NTVcccUV/O1vf+Pss88O9nCkniWDj/TdhBBs376dkpKSQEO+2bNnM3PmTNLT04M2Lq/Xy5YtW8jOziYrKyto4+hLVFWloaGB+vp6GhoaiI+PJz8/n6SkJBl8DhFCsHPnTjpc8N7mVLbu8oHBgNFoxGDST4PFRMGwgWZUTWFvjYqqKWiaRk6a4JzTookwG6isF3xdpdHs1O83MgKy0xVyLQZyLAo56WA0KTiaFewtehCyN+tH5zvdepA5FdGRkBDtJ9LowqC18+UuaHUKZkxJQTGZ2V0tcLQIFATtbS4sqUZanHqXe1XV8PtVpk4w85NLjp4lDMfQ01UW5KmnnuLHP/5xsIcj9TwZfKQTJ4Tg66+/pqSkhOXLlxMdHc3s2bOZPXs2GRkZvXZx7ezsZOvWreTn55OWltYrjxkqfD4fW7duDez/sdvttLa2kpiYSEZGBsnJyWFzQTtWV4g3m83k5+ejKAqtTj+vLWnl8y89CBR9E7TRgCnCCCikJxvIthjZtc+NRzVhijBhUCBvgIFheUYGpBlQVYXaRkG1Q1DjEIHZl8gISE9SSE1USEs8/DolAaIiwe3R+3R1uqHTI/D6gUMVmrted72tKJAQq5AcpxcubHfBwQbBvlqNz7a58WMKfF8jjCppCRqORh8tbQJzlBnQ+235/SpRJsHProhnTP7RJ/uO3AsWLj8jdrudyy67jMcff5ypU6cGezhS75DBR/phujbN2mw2Fi9ejNFoZNasWRQVFZGVldVjIaitrY0vv/yS0aNH9+m9R8HwbX23hBCBgonNzc3Ex8cHagWFy2ZnTdOoqKggLi6OwYMHf+Pns61dxba6lfc+dyEwoCgKikEhLtaEV9VDQHSkoKXZjdlswJIeTbvHiKbpG5IHZepBKMdiICrSQGu7oKYBGlo0GtugsU2gaYcfT1EOL3VFRx5+2xxxuC2FxwsenzhUv+fQay+BYAWHNix3uBkxOIL8XDNNTsHOfV5aDx2zV/Dj84Jf1dBUjXPHR3DtzATMEUd//vv376etra3bG/j2ZQ0NDcydO5dHHnmESy65JNjDkXqPDD7SqRNCUFNTEwhBXq+XWbNmYbVaGThwYLeFoK7ie7Lz/DedaN8tIQRtbW3Y7XYaGxuJjo7GYrGQlpbWL0oAHI+qqmzbto3k5GQGDhz4nbftdGms3eBk+fvtuNx6+FEMClGRBlKSImhp14+Sa6qG3+thcK6ZgdkxOFqhql5v6gkQH6OQm2EgJ8NArsVIUjyAgtsHzU5obRd0ukVgtqfTDZ1ugU/Vg0+UWSHSrM8aRZkVIiMIvG80wJc729nyZRuxMREMHZpAfTN4fWAwCLxuH6oKKHqxQk3ViDR6uGSCg7HDE0hPTz+qae6+fftwOp1hFXqam5u57LLLeOihh5g1a1aPPMaqVau48847UVWV+fPn85vf/Kbb7tvn8+F0OklJSUEIIZeyT44MPlL3EkJQX19PaWkppaWlOJ1OZsyYgdVqDSwv/BAHDx6kpqaGcePG9dviez/UD+27JYQ4qlZQRERE4Jh8f/kaq6rKli1bsFgs5OTknPD/0zTBpi9d2Na0UlmrHqoDZAAEyUkmYqKNNLWKQFsIo0Ejb4CRwTlmIs0G2l1QY9eobdSOnukB4mMVEuP0l7hoBZMRTEYFoxH9xaC/b1DA6xe0tQua2gSNrRqNrVqgLQboM0epiQrx0VBd6w607dA0Dc2vEWFUuWxqHFN+FIvCN5vm+v1+fD5fWC1vtba2MnfuXO655x4uu+yyHnkMVVUpKCjgnXfeIScnhwkTJvDPf/6z24ohPvHEEzz//PN88MEHZGVlyfBzcmTwkXqWw+FgyZIllJaW4nA4mD59OrNnz2bkyJEn9IvataTW0tISVuXyT1R39t3q7OwMhCBFUQIhKCoqqptG27v8fj/l5eVkZWWd0gb4ylov6z528v7nHfj8+h4gRdGLF0ZHKUQYod2loRj1PUCgP7NaUgwMSDOSEGsgNsaAOULfXNzhErS26y/tLoGqgl8VqJq+jHVkUAJ9GUxoKi0tHjweP1GRBgblRIHByEGHH49Xv13X7I7qVzGbBJdfFMe0c2KP+3umqirbt2+ntbUVg8FAUlIS6enppKSk9OvfMafTyeWXX87tt9/OVVdd1WOPs2HDBh5++GFWr14NwMKFCwG4//77u+0xfvWrX7F+/XqKi4vJy8uT4efEyeAj9Z6mpiaWLVtGaWkpVVVVTJs2jTlz5nzrFLsQgq+++gohBCNGjAibv0hPVE/23XK73YFaQaqqkp6eHjgmHwp8Ph/l5eXk5eUdtd/pVGiaYMtXLpaua2XnPq9e5NBwOAiB3rrCrwqEALPZQGSUCb9m4Mjn2uhISIg1kBhvICFWITpSIdKs6D25fAK3R9DqVGlxqjS1+Ol0CwxGhYgIE+LQ/RgUMBg03G4VoenH2DVNI8IosE6JZfaUhO+8CO7Zs4fOzk7GjBkDQEtLC3a7naamJmJjY0lPT+93y58dHR1ceeWV3HzzzVx33XU9+lglJSWsWrWKF198EYDXX3+dTz/9lGefffaU7lfTtKOeB++//37efvttSktLGTJkiAw/J6bHvkD9vya+dNJSUlK48cYbufHGG2ltbWXFihU8/vjj7N69mwsvvJCioiJOO+00DAYD7e3t3Hbbbdx7772MGTNG/jIfo66ujsrKSk4//fQeWZaKiooiNzeX3NxcvF4vDQ0N7Nq1C6/Xe1TBxL74fena5D148OBuLblgMCicNiqG00bF4PFqfL6tk3UbnHx9wItP1fcCqYre9VwoCn4/+Nv9aIeqEgpFYDYZ8GOgVTXQ1AyqUAItJgR6gBGaQDtUvdBkVEiMNxEZacDv1+h0+XF7NMShWSH9QigYXxDJhWfHMzo/GqPxu78ne/bsweVyHfV7lZycTHJyMkII2tvbsdvtfPHFF0RERJCenk56enrIzvyBvgdu3rx5XHvttT0eenqKqqoYjUaamprYsGEDY8aMYeHChcTHxzNnzhyKi4spKCiQ4SeIZPDpYU8++ST33HMPDocjJI90JyYmcs0113DNNdfQ3t7O22+/zbPPPsv27ds5++yz+fjjj7nqqqtkr5zjqKqqwm63c/rpp/dK3y2z2RxYLvL79X0i+/bto6Ojg9TUVCwWC4mJiX3iydbtdlNeXv69m7xPVaTZwLlnxHHuGfry4q79LtZ+3M6XX7tpavWgCT0IGRQDigJGo740pmrQ3ikA9bsf4BCvKvB6NYQQgReEPrM0briZC89OZPSwKEzfE3bgcGsXl8vF6NGjj/v9UhSF+Ph44uPjGTp0aKBVSkVFBUKIowpkhgq3280111zDFVdcwc0339wrj5mdnU1VVVXg/erqarKzs0/pPo1GI3a7nTlz5nDmmWfy3HPPMW3aNB544AFUVWX27NkUFxfL58wgkktdPaiqqor58+fz1VdfsWnTppAMPt9m165dzJgxg2HDhlFZWcnkyZMpKipi0qRJYdFc87sIIY46gRPsvRiqqtLU1ITdbqetrY2kpCQsFkvQagV1nWwbMWIESUlJvf74R6qp87J+Uztf7nZjb/Tj7NQClZy79gfp1ZkPhY8j3wYEh0MOCBLiDAzKMjNuZDRjhkWRkxHxvTM7RxJCsGfPHjweD6NGjfpBIbVr5s9ut+N2uwOhNyHhu5fVgsnj8XDdddcxbdo0fvGLX/TaOP1+PwUFBaxbt47s7GwmTJjAW2+9xejRo3/wfWqaxl133cWUKVOYMGECkydP5uWXXw4UXfz973/PoEGDuOmmm7rr0+iv5B6fUHT55Zfz29/+FqvVysaNG/tN8NmyZQs33HADf//73znrrLPweDysW7eOkpISPvvsMyZNmoTVamXy5Mn9au/Biejrfbc0TQvUCmppaSEhIQGLxdJrm2U7OjrYunVrn67vpGmCplY/B2q8VNZ6aWrx4/YI3F5NP34OKAaF2GiFtGQTBYOiGJoXSVyM4ZQu2N0Reo7VVSXc4XDgdDqDHnqPx+fzceONN3LOOefwq1/9qtfD2cqVK/nlL3+JqqrcfPPNPPjggyd9H0cuW6mqyiOPPEJMTAzLly8PbNCuqKjA7/czfvz4bv4M+i0ZfELN0qVLeffdd3nmmWcYNGhQvwk+mzZt4pZbbuFf//oXw4YN+8a/+3w+3n//fWw2Gx9++CETJkzAarVy/vnnExkZGYQR9x5N0wIVh0Oh75YQgtbW1kCtoNjY2ECtoJ6YtXM6nVRUVHTLybb+RgjB7t278fl8J3yS8mR1hV6Hw0FzczNxcXGBApnBmqX1+/3813/9F6eddhr3339/n/+d+S6apuFyuYiNjWX58uXcfffd3HTTTTzwwAN0dHRwwQUXcPvtt3P99dcHe6ihQgafvujCCy+krq7uGx9/9NFHWbBgAWvWrCExMbFfBZ+Ojg7a29tP6ASO3+9n/fr1lJSU8P7771NYWEhRURFTp07t9tNNwdZVfK+rEWuoOXKzbENDA2azmYyMDNLS0rplU3Zrays7duxg7NixIbXvpDf0Rug53mO2tbXhcDhoaGggMjISi8VCenp6r9WGUlWVn/3sZ+Tn5/Pwww+HZOhZuXIl06dPB2DevHm0tbVx8cUXk5mZya5du9i1axeZmZls2LCB888/n//5n/8J8ohDigw+oWTbtm1MnTo1ULW4urqarKwsPvvsMwYMGBDk0QWHqqps2LABm83G2rVrGTFiBEVFRUybNi3kL4Q+n48tW7aQmZl5yhsj+4ojCyYajcZAraAfMmvX3NzMzp07e+Q4f6jr6qvXtTQarIt/R0cHDocjUBuqqyxCT32/VFXljjvuYMCAASxYsCAkQ8+2bdv405/+xKhRo/jqq68YNGgQ559/PmVlZSQlJXH66aeTkJDA1q1bSU9P54orrgj2kEONDD6hrD/N+HQHTdPYtGkTxcXFrF69miFDhmC1Wrnkkkv67L6Pb+PxeNiyZcs3+m71J263G7vdjt1uRwgRuCieSDuSrhpG48ePD+lj1j2hK/SoqsqIESP6zMXf4/EEakP5fL5uL4ugaRp33303cXFxPPHEE31mr9HJ8nq9rF27lvfff5/33nuPt99+m7S0NL7++mv+9Kc/UVhYyC9+8YtgDzOUyeATymTw+XaaprF161aKi4t5++23ycrKwmq1MmPGjKCf+Pk+XaeTCgoKSElJCfZweoXX6w2EIJ/Pd1TBxGMvig6Hg3379jF+/Ph+01qju3Rtgtc0rU+FnmN1lUWw2+10dHSQkpKCxWIhKSnpB41Z07RAL6y//OUvIRl6uur0gD7bu379en73u99RWFjIwoULSUhIYNWqVbz22mu89NJLcpbzh5PBR+r/hBBs376dkpISVqxYQUpKClarlZkzZ/a50PhD+271Jz6fL3BRdLlcRx2bttvtVFZWMn78+LA72fd9ukKPEILhw4f32dBzLE3TAmURWltbT/pEoKZp/O53v6O9vZ3nn38+5EPPJ598Qnx8PKNHj2bDhg3885//pKOjg3vuuYdHHnmE7OxsHn/88SCPOKTJ4COFl65lgJKSEpYtW0ZMTAxWq5VZs2aRkZER1ItFS0sLO3bsoLCwMOT3J3UXVVVpbGwMtFMAGDVqFKmpqSFzYe8NQgh27twJEFKh51hHnghsamoiOjo6cCLweEFXCMEjjzxCXV0dL730UtBrW52qK6+8kvj4eFpaWhg+fDgLFizgiy++4Ne//jW1tbVcdtllPPLII8EeZqiTwUcKX10FAW02G0uWLMFkMjFr1iyKiorIzMzs1YtHQ0MDu3fvlht1v0VXterc3FwaGhpobW0lMTExMDMQin/ld5eu0KMoCgUFBSEbeo4lhAhshm9oaMBoNBIdHU1kZCRDhw5FCMFjjz3Gnj17ePXVV0O+wOldd90F6Kd3L730Uux2OxMmTOC1117js88+Y9++fT3aWDWMyOAjSaA/yVZXV2Oz2Vi8eDF+v59Zs2Yxe/ZsBg4c2KMXk66+W3LPyvHt37+flpYWCgsLAwFHCHFUY82u2jFpaWkh/1f/yehq5GswGPpV6Dket9vN+vXreeSRR3C5XAwZMgSPx8Py5ctD/vfG5/Px6aefMnHiRK677jpGjx7NHXfcwWmnnUZhYSFLliwJ9hD7Exl8JOlYQgjq6uooLS2ltLSU9vZ2Zs6cidVqZejQod16cemayRg3blzI/8Xa3bp6S3V0dDBmzJhvndURQuB0OgMzA9+3PNJfdIUeo9EYEoUtu4sQgj//+c+sWbOGtLQ0KisrueiiiygqKuKss84Kidk/p9NJfHz8UZWZ/X4/zc3N3H333Tz33HPExcVxxx13EBERwZNPPhnkEfcrMvhI0vdxOBwsXryY0tJSGhsbmT59OrNnzz6lUzN9re9WX9NVfM/r9Z50m4UjCyaaTKZAraBQnxU4khCCHTt2YDKZwi70vPjii7zzzjvYbDYiIyPp7Oxk7dq1LF68mE2bNvHBBx/06ZObH3/8Mddffz2rVq0iPz//qPBz8OBBfvrTn3LppZeyatUq8vLy+Otf/xrkEfc7MvhI0sloampi2bJl2Gw2ampqmDZtGnPmzGH06NEn/JfmkX23uqt3Un/SnRt1XS5X4Ji8oiiBKsKhvI+qK/RERESQn58fVj8/r7zyCkuXLmXp0qXHrd905OmovubIgHP//fezZs0a3nrrLYYPH44QAk3TMBqNrFu3ji1btlBTUyNnenqGDD6S9EO1trayYsUKbDYbe/bsCUy3jx8//ltDUFffrcjIyLC7aJ2IrtIDZrO5278+Ho8nEIJUVT2qVlCo6MmvT1/35ptvsmjRIpYvX35CRS77mtraWjIzMwPv/8///A/FxcUsWrToqK7tTz31FGPGjOGiiy4KxjDDgQw+ktQd2tvbWblyJSUlJezYsYMpU6ZgtVqZMGFC4C/Q9vZ2/vKXv3D11VeHZN+tnqZpGhUVFcTFxTF48OAevaj7fL5AFWG32x2oIhwfH99nw0RX6Ok61dRXx9kT/v3vf/PKK6+wYsWKkGxEu3PnTn75y1+ydOlSgMCy68KFC3n99dcpKSlh1KhR3HrrrWzbto3169eHxF6lECWDjxQ89957b+BExtChQ/nHP/7Rp9fmT5TL5WL16tWUlJRQXl7Oeeedx9SpU3n00Ue54ooruPPOO4M9xD6nqxlrcnIyAwcO7NXH9vv9gVpB7e3tpKSkkJGRQWJiYp8JF+EcepYsWcJzzz3HihUrQrao55dffsktt9zChx9+iNFoRNO0QLB58sknefXVVxk2bBi1tbW8//77/Wo/Wh8kg48UPGvWrGHKlCmYTCbuu+8+AB577LEgj6p7eTweiouL+dWvfsXgwYMZO3YsRUVFnHvuuf36xNHJUFWVLVu2YLFYyMnJCepYNE0LhKC2tjaSkpKwWCwkJycH7S9wIQRffvkl0dHRDBkyJKxCT1lZGU899RRlZWUkJycHezin5MYbb+SGG27gggsuQNM0gMDP1F/+8hdsNhurVq0K6f1nIUIGH6lvWLx4MSUlJbz55pvBHkq32r9/P3PnzuWJJ57g3HPP5b333sNms7F+/XomTJhAUVER559/ftj+hef3+ykvLycrK4usrKxgD+comqYFagU1NzcTHx+PxWIhNTW11zbQHhl6hg4d2iuP2VesWbOGhQsXsnLlSlJTU4M9nJO2du1aPvnkExRF4YorruDhhx/mxz/+MbfeemvgNkdueO7LG7P7mR4LPrIgiXRSXn755X5XlbSiooJrr72WF198kTPPPBOAadOmMW3aNPx+P+vXr6e4uJiHHnqIcePGUVRUxNSpU8Om27jP56O8vJy8vLw+2YHeYDCQkpJCSkoKQgja2tqw2+3s3buXmJiYQK2gnqq/JISgoqKCmJiYsAs97777Lo8++ihlZWUhGXoATCYTubm5vP3227S1tfH+++/T0dHBxIkTGT9+fOB2XeFHhp7QJ2d8JAAuvPBC6urqvvHxRx99FKvVGnh748aNlJaW9qtp/LVr15KTk8OIESO+83aqqrJhwwZKSkpYt24dI0eOpKioiIsuuiikThydDK/XS3l5OYMHDyY9PT3YwzkpQoijagWZzebAMfnumrnTNI0vv/yS2NhYhgwZ0i33GSo++OADHnzwQcrKyhgwYECwh9NtNmzYwLp163C73cyePZuzzjor2EMKV3KpSwquV155hf/7v/9j3bp1IXlEtbtpmsbGjRspLi5mzZo1DB06lNmzZ3PppZcSHx8f7OF1C7fbTXl5OQUFBaSkpAR7OKess7MzcEzeaDQGQtAPnbnrOt0WHx/P4MGDu3m0fduGDRu45557WLFiBdnZ2cEezik7cikL9E3OixYtorW1lRtvvJHTTz89iKMLWzL4SMGzatUq7r77bv7zn/+E3F/9vUHTNLZs2UJxcTGrVq0iOzub2bNnM2PGjJA9/eZyudiyZQsjRowI2c/hu7jdbux2Ow6HA03TArWCTjTUh3Po+fzzz7nzzjtZtmwZeXl5wR5Oj6moqGDlypX87Gc/IyEhIdjDCUcy+EjBk5+fj8fjCazh/+hHP+L5558P8qj6pq5NriUlJaxYsYLU1FSKioqYOXNmyOyB6OjoYOvWrYwePTosnvC9Xm+gVpDX6w3UCoqLizvukm5X6ElISAi7Ok+bN2/mtttuY8mSJWER+Px+v+zNFzwy+EhSqOlqeVFSUsLy5cuJjY3FarUya9YsLBZLn9wn5XQ6qaioYOzYsSFZgO5U+f1+GhoasNvtdHZ2kpqaisViISEhAUVR0DSNbdu2kZiYGHahZ9u2bdxyyy2UlJRQUFDQ44/XX+uHSSdMBh9JCmVdHcxtNhtLlizBbDYza9YsrFYrmZmZfSIEtba2smPHDsaOHdtvN2ufDFVVA7WCnE4nSUlJtLe3k5aWFhazHUfavn07N998M//6178YOXJkrzxmONQPk76TDD6S1F8IIaiurqakpITFixejqiqzZs2iqKiI3NzcoISg5uZmdu7cybhx42RhtuPw+/1s3rwZIQSqqpKQkBCoFdTfWxbs2rWL66+/njfffJOxY8cGZQz9tX6Y9J1k8JGk/kgIQW1tLaWlpSxevJiOjg5mzJiB1WrttZYHjY2N7N69m3HjxoVNbaKToWkaW7duJSUlhby8PIQQtLa2Ul9fT1NTE3FxcYEQ1N/2g+zdu5err76aV199ldNOOy1o45g1axZXXXUV1157bdDGIPU6GXwkKRzY7XYWL15MaWkpTU1NTJ8+HavVyvDhw3skBDkcDvbt28f48ePDtir1dzk29BxLCIHT6QzUCoqKigockw/1VicHDhxg3rx5vPjii0yYMKFHHiOc64dJ30sGH0kKN01NTSxduhSbzcbBgwe5+OKLmTNnDqNGjeqW5ZX6+noqKysZP358yF+ke0JXmYK0tDRyc3NP6P+0t7fjcDhwOByYTKZACIqMjOzh0XavmpoarrjiCp577jkmTZoUtHHI+mFhTQYfSQpnra2tLF++HJvNxr59+7jooouwWq2MHz/+B4WggwcPUltby7hx4/rd8kx3UFWVrVu3nlToOZbL5QrUChJCYLFYsFgsfX4PVW1tLZdffjnPPPMM5513XtDGIeuHhT0ZfCRJ0jmdTlauXElJSQk7d+5kypQpWK1WJkyYcEIhqKqqCofDwbhx42TfoePojtBzLI/HE6gV5Pf7j6oV1JfU19cHmvVOmTIlqGOR9cPCngw+kiR9k8vlYtWqVdhsNsrLy/nxj3+M1Wpl0qRJxw01e/bswel0UlhY2O9PI/0QqqqyZcsWLBYLOTk5PfIYPp8vUCvI5XIFQlB8fHxQ97A0NDRw2WWX8cc//pFLLrkkaOOQpENk8JGk7rBq1SruvPNOVFVl/vz5/OY3vwn2kLqNx+PhnXfeoaSkhI0bNzJp0iTmzJnDOeecg9Fo5Ne//jWRkZE88sgjMvQcR2+EnuM9ZlcIam9vJyUlBYvFQlJSUq+GoObmZi677DJ++9vfMnPmzF57XEn6DjL4SNKpUlWVgoIC3nnnHXJycpgwYQL//Oc/GTVqVLCH1u28Xi/vvfceNpuN9evXk5SURGxsLP/85z/lJtHj6Ao9GRkZQWu6qWkaTU1N2O12WltbSUxMJCMjg+Tk5B4Nqq2trcydO5d7772XOXPm9NjjSNJJksFHkk7Vhg0bePjhh1m9ejUACxcuBOD+++8P5rB6lKZp/Pd//zf19fVkZGTwwQcfcNppp1FUVMSUKVNk3R76Rug5lqZptLS0YLfbaW5uJj4+PlArqDv3ZTmdTi6//HJuv/12rrrqqm67X0nqBj0WfORxDils1NTUHLVZNScnh08//TSII+pZXct5AwYM4G9/+xuKoqCqKh9//DElJSX84Q9/YNSoUVitVqZNmxaWM0GqqlJeXk5mZiZZWVnBHk6AwWAgJSWFlJQUhBC0tbVht9vZu3cv0dHRWCwW0tLSTqkMQUdHB1dddRW33nqrDD1SWJHBR5L6qbvuuov8/HwefPDBwMeMRiOTJ09m8uTJaJrG559/TnFxMY899hj5+fnMnj2bSy65hPj4+CCOvHf01dBzLEVRSExMJDExkfz8fDo6Oqivr+eLL74gIiIicEz+ZApQulwu5s2bx/XXXy+rIUthRwYfKWxkZ2dTVVUVeL+6urrPLG30hD/84Q8kJyd/678bDAYmTpzIxIkT0TSN8vJySkpKePrpp8nNzWX27NlMnz69X3bE7go9WVlZZGZmBns4J0xRFOLi4oiLi2Po0KF0dnZit9vZsmULiqIEQtB3LWG63W6uvvpqrrzySm666aZeHL0k9Q1yj48UNvx+PwUFBaxbt47s7GwmTJjAW2+9xejRo4M9tD5FCEFFRQUlJSWUlZWRlpZGUVERM2bMCNRUCWV+v5/y8nKys7NDKvR8H7fbHagVpKoq6enpWCwWYmNjA7fxeDxcd911XHzxxdx+++2yBYTUl8nNzZLUHVauXMkvf/lLVFXl5ptvPmoZSPomIQQ7d+6kpKSE5cuXk5CQwOzZs5k1axbp6ekhd+Hsr6HnWF6vl4aGBmpra7nrrrs488wzmTt3Ls8++yznnXced999d8h976SwI4OPJEnBJYRgz5492Gw2li5ditlsZvbs2VitVgYMGNDnL6RdoScnJ4cBAwYEezi9prm5GZvNxj/+8Q/q6+u5+uqrmTt3LhMnTpT1nKS+TAYfKXzU1dWRnp6OwWDo8xfTcCWEoLKyEpvNxpIlS9A0jZkzZzJnzhxycnL63PfN7/ezefNmcnNzwyr0gL6f6dZbb6WgoID77ruPdevWUVpaysaNG5k8eTK33HIL48ePD/YwJelYMvhI4eOuu+7C6/Xy17/+FdAvsn3tQiodJoSgtrYWm83G4sWLcblczJgxA6vVypAhQ4L+vesKPXl5eWRkZAR1LL1NVVV+8YtfkJmZyYIFC476Xvj9fj744AOio6OD2oFdkr6FDD5S+Pj000959tlnef3113G73dx4441MmTKFn/70p8EemnQC7HY7ixcvxmaz0dzczPTp0ykqKqKgoKDXQ5DP56O8vDwsQ4+madx1110kJCTw+OOPy2UtKdTI4COFj7a2NiZOnMhbb73FAw88QGFhIbfddhsDBw4E9Cd0g8FAZ2dnWBbdCyWNjY0sXboUm81GXV0dF198MXPmzGHkyJE9fiEO99Bz3333oSgKf/nLX2TokUKRDD5S/9e1pOXz+Zg/fz6VlZUUFhbyzDPPHPf2MTExVFdXk5KS0ssjlX6IlpYWli9fjs1mY//+/Vx00UUUFRUxbty4br8wd4WegQMHYrFYuvW++zpN0/jd735HR0cHzz33nAw9UqiSwUfq/7pmcp5++mkefvhhrrnmGp599lkURQn8m6qqGI1Gli9fzn333cf27dsD/yaFDqfTSVlZGTabjZ07dzJlyhSKioo488wzT/l76fP52Lx5M4MGDQq70COE4JFHHqG+vp4XX3yxW/t6SVIv67HgI68WUp/h9/t54okneOONN3jjjTeoqanB7/cDfONi+MILL/CTn/wE0APTsTRNO+7Hpb4hPj6eefPmUVxczCeffMLkyZN54YUXmDRpEvfeey8fffQRqqqe9P12hZ7BgweHZeh57LHHqK6ulqFHkr6DnPGR+oSGhgbuvvtuNE3jmWeeoaOjgyuvvJKPPvoIRVG+EXySk5PZunUrubm5gRmfqqoq9u/fz9lnn33Uk/6ePXvYv38/kyZNknuC+ji3280777xDSUkJGzdu5JxzzmHOnDmcc845mEzf3WHnyNCTnp7eSyPuG4QQPPXUU2zdupW33nrre79WkhQC5IyP1L/FxcVxzTXX8Nhjj5GamkpeXh55eXksX74cg8GAECIwg7Nq1SosFstRoQf0PSRvvPEGZ555Jrfeeivt7e0AfPTRRyxatIgDBw4A/KCZBKl3REVFMWvWLF599VU2b97M3LlzKS0tZdKkSdx+++2sXbsWr9f7jf/X0NDApk2bwjb0/PWvf2XTpk288cYbMvRI0veQwUfqE6Kiorj44ouPahqakZFBR0cHQGCfD8BLL73E1VdfDegzBF0SEhJYsGAB77//PqmpqVRVVaGqKgcOHCA3NzfQoqC/LQFUVVVxwQUXMGrUKEaPHv2tm8FDjdls5uKLL+aFF15gy5YtXHvttbz99tucc8453Hrrrbz99tu43W5qa2u59NJL8fv9YRl6XnjhBT744AMWLVp0Uh3aJSlcyaUuqU873sZlg8HAtm3bjmou+vjjj7Nr1y42b94MQGRkJLfffjuXXHIJP/3pT+no6KC2tpYRI0bw7LPPfqPZZleoCsVN0rW1tdTW1nL66afjdDo544wzWLJkCaNGjQr20HqEqqp89NFHlJSU8M4779DZ2ck111zD3XffHVZLmUIIXnnlFZYvX86SJUu+syO7JIUgudQlhadjg0hjYyM/+tGPsFqtTJkyhVdffRWPx8MLL7zAz3/+czZu3MhTTz2FpmlMmjSJzz77DKfTya233srmzZvRNI23334b0OsFrV+/noaGBgwGQ+CxVFXlgQceCJnN0ZmZmZx++umAvml45MiR1NTUBHlUPcdoNHLeeefx29/+loSEBO666y48Hg9Tpkzhuuuuw2azBZY5+7M333yTxYsXU1paKkOPJJ0EuRgshZTU1FQ+/vhj3G43ixYt4sMPPyQpKYkZM2awdu1akpOTefPNN0lPT2fQoEG8+eabTJkyhQsuuADQQ40QgoMHD/Laa69RV1fH2rVrOe+88/j9739PRkZG4FTZggULgvzZnrz9+/ezefNmJk6cGOyh9Ci73c7MmTN59NFHueiiiwB91m7z5s2UlJTw5z//mdzcXKxWK9OnTycxMTHII+5e//73v3nrrbcoKysLq1kuSeoOcsZHCklRUVHceOONvPjii1itVq655hree+89Hn30UTZt2sSPfvQjXC4XmzdvpqWlhYSEBBwOB9nZ2URFRfG///u/vP7661x22WVUVFTg8/kCm5/feOMN7r777iB/hievvb2duXPn8vTTT5OQkBDs4fQYIQRXX301CxcuDIQe0GcHzzjjDBYuXMgXX3zBo48+yoEDB5g1axZz587ltddeo6mpKYgj7x6LFy/m5ZdfZtmyZcTGxvbqYz/55JMoikJDQ0OvPq4kdSe5x0fqdz799FOys7PZvXs3f/zjHxk0aBAvvvgijz32GFu3buXaa69l5cqVxMXFUV5ezsGDB2loaODvf/87M2bMIDExkT179pCWlhbsT+WE+Xw+Zs6cycUXXxySoe1knUy7EiEEX331FSUlJaxYsYKEhASsViszZ84kPT096E1UT8aKFSt4+umnKSsrIzk5uVcfu6qqivnz5/PVV1+xadOmkPr9kEKSrNwsST/Erl27eOmllygpKeHss8/mtttuY/z48cybN4+FCxcyatQoHA4HGzduZNKkSXz44Yfcf//9VFRUBHvoJ0wIwQ033EBKSgpPP/10sIfTpwkh2LNnDyUlJSxbtozIyEhmzZqF1WplwIABfToErV69mscee4yysrJvbM7vDZdffjm//e1vsVqtbNy4UQYfqafJ4CNJp8rpdBIfHw/AQw89hNfr5Re/+AW5ubmB20yfPp3Jkydz//33B2uYJ239+vVMnjyZsWPHBjZoL1iwgOnTpwd5ZH2bEIIDBw5gs9lYsmQJADNnzqSoqIicnJw+FYLeffdd/vCHP7By5cqgHNlfunQp7777Ls888wyDBg2SwUfqDTL4SFJ3qq6uZuHChXzyyScMGDCA559/ntzcXFJTU/nyyy8ZMGBAsIco9aKuDe82m43FixfjdruZOXMmVquVwYMHBzUEffDBBzz44IOUlZX16M/lhRdeSF1d3Tc+/uijj7JgwQLWrFlDYmKiDD5Sb5HBR5J6yt69exkyZAirV6/mhhtuOO6TvxQ+hBDY7fbAUfGWlhamT5+O1WqloKCgV0PQxx9/zL333suKFSuOKu7Zm7Zt28bUqVMDe6qqq6vJysris88+k38gSD1JBh9J6klCCBRFob6+noyMjGAPR+pDGhsbWbJkCTabjfr6ei655BKKiooYOXJkjxa8/Pzzz7nzzjtZtmwZeXl5PfY4J0vO+Ei9RAYfSZKkYGtpaWHZsmXYbDYqKyu58MILmTNnDoWFhd0agjZv3sxtt93GkiVLGDx4cLfdb3eQwUfqJTL4SJIk9SVtbW2UlZVhs9nYtWsXU6dOpaioiDPOOOOUQtC2bdu45ZZbsNlsDBs2rBtHLEkhRQYfSZKkvqqzs5OVK1dSWlrKtm3b+PGPf0xRURETJ048qaa427dv5+abb+bf//43I0aM6MERS1KfJ4OPJElSKHC73bzzzjsUFxezadMmzj33XObMmcPZZ5+NyfTtXYJ27tzJDTfcwFtvvcWYMWN6ccSS1CfJ4CNJkhRqvF4v7777LiUlJWzYsCHQYPe8887DbDYHbrd3716uvvpqXnvtNcaPHx+8AUtS3yGDjyRJUijz+/385z//obi4mPXr13P66adjtVrJz8/n+uuv56WXXuLMM88M9jAlqa+QwUeSJKm/UFWV9evXY7PZeOONN1i2bBnnnntusIclSX2JDD6SJIUnVVU588wzyc7OZsWKFcEeTrfrqiElSdJReuyXoueqb0mSJHWDZ555hpEjRwZ7GD1Ghh5J6l0y+EiS1GdVV1dTVlbG/Pnzgz0USZL6CRl8JEnqs375y1/ypz/9qUdbQ0iSFF7ks4kkSX3SihUrsFgsnHHGGcEeiiRJ/YgMPpIk9UkfffQRy5YtY9CgQcybN493332Xa6+9NtjDkiQpxMlTXZIk9Xnvv/8+TzzxRL881SVJ0nHJU12SJEmSJEmnSs74SJIkSZLU18gZH0mSJEmSpFMlg48kSZIkSWFDBh9JkiRJksKGDD6SJEmSJIUNGXwkSZIkSQobMvhIkiRJkhQ2ZPCRJEmSJClsyOAjSZIkSVLYkMFHkiRJkqSwIYOPJEmSJElhQwYfSZIkSZLChgw+kiRJkiSFDRl8JEmSJEkKGzL4SJIkSZIUNmTwkSRJkiQpbMjgI0mSJElS2JDBR5IkSZKksCGDjyRJkiRJYUMGH0mSJEmSwoYMPpIkSZIkhQ0ZfCRJkiRJChsy+EiSJEmSFDZk8JEkSZIkKWzI4CNJkiRJUtiQwUeSJEmSpLBh+p5/V3plFJIkSZIkSb1AzvhIkiRJkhQ2ZPCRJEmSJClsyOAjSZIkSVLYkMFHkiRJkqSwIYOPJEmSJElhQwYfSZIkSZLCxv8HOiC5D3477YkAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<Figure size 720x720 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"#surf = axes.plot_surface(x, y, z, cmap='coolwarm',linewidth=0, antialiased=True)\n",
|
|
"fig = plt.figure(figsize=(10,10))\n",
|
|
"axes = fig.gca(projection='3d')\n",
|
|
"\n",
|
|
"surf = axes.contour3D(X, Y, Z, 50, cmap='coolwarm')\n",
|
|
"\n",
|
|
"axes.set_xlabel('X Label')\n",
|
|
"axes.set_ylabel('Y Label')\n",
|
|
"axes.set_zlabel('Z Label')\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" fun: 2.3325913012338164\n",
|
|
" hess_inv: <2x2 LbfgsInvHessProduct with dtype=float64>\n",
|
|
" jac: array([-8.88178420e-08, -3.10862449e-07])\n",
|
|
" message: b'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL'\n",
|
|
" nfev: 57\n",
|
|
" nit: 12\n",
|
|
" njev: 19\n",
|
|
" status: 0\n",
|
|
" success: True\n",
|
|
" x: array([0.1852601 , 2.69890794])\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(sol_6_1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"From our result of the first model we can see that we have 3 local minimums for our solution. When choosing starting points that are closer to each of the 3 minima, we can see the resulting solution will change, as alluded to in the wording of the question. In our case, our first iteration started at x0 = [0,0]. Which means that it will converge to the minimum at the top of our 2D plot, therefore out solution for this first iteration is x: array([0.1852601 , 2.69890794])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"##Q6 Attempt with starting point of [5,-2]\n",
|
|
"func_6_2 = lambda x: (x[0]**2 + 2*x[1]-4)**2 + (x[0] + x[1]**2-8)**2\n",
|
|
"\n",
|
|
"x0 = np.array([5,-2])\n",
|
|
"xs = [x0]\n",
|
|
"\n",
|
|
"bnds = ((-5, None), (None, 5))\n",
|
|
"sol_6_2 = minimize(func_6_2,x0,bounds=bnds)\n",
|
|
"\n",
|
|
"x = np.linspace(-5, 5, 50)\n",
|
|
"y = np.linspace(-5, 5, 50)\n",
|
|
"X,Y = np.meshgrid(x,y) # meshgrid\n",
|
|
"XY = np.vstack([X.ravel(), Y.ravel()]) # 2D to 1D vertically\n",
|
|
"Z = func_6_2(XY).reshape(50,50) \n",
|
|
"\n",
|
|
"xs = np.array(xs)\n",
|
|
"plt.figure()\n",
|
|
"plt.contour(X, Y, Z, np.linspace(0,25,50))\n",
|
|
"plt.plot(xs[:, 0], xs[:, 1], '-o')\n",
|
|
"plt.gca().set_aspect('equal', adjustable='box')\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x720 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"#surf = axes.plot_surface(x, y, z, cmap='coolwarm',linewidth=0, antialiased=True)\n",
|
|
"fig = plt.figure(figsize=(10,10))\n",
|
|
"axes = fig.gca(projection='3d')\n",
|
|
"\n",
|
|
"surf = axes.contour3D(X, Y, Z, 50, cmap='coolwarm')\n",
|
|
"\n",
|
|
"axes.set_xlabel('X Label')\n",
|
|
"axes.set_ylabel('Y Label')\n",
|
|
"axes.set_zlabel('Z Label')\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" fun: 6.577393938445569e-13\n",
|
|
" hess_inv: <2x2 LbfgsInvHessProduct with dtype=float64>\n",
|
|
" jac: array([-8.88360458e-06, 4.80730083e-07])\n",
|
|
" message: b'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL'\n",
|
|
" nfev: 36\n",
|
|
" nit: 11\n",
|
|
" njev: 12\n",
|
|
" status: 0\n",
|
|
" success: True\n",
|
|
" x: array([ 2.91703377, -2.25454339])\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(sol_6_2)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now when choosing a starting point closer to the minima at the bottom right. We can see the impact to our solution, as the optimal solution is now positioned at: x: array([ 2.91703377, -2.25454339])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"##Q6 Attempt with starting point of [-4,-4]\n",
|
|
"func_6_3 = lambda x: (x[0]**2 + 2*x[1]-4)**2 + (x[0] + x[1]**2-8)**2\n",
|
|
"\n",
|
|
"x0 = np.array([-4,-4])\n",
|
|
"xs = [x0]\n",
|
|
"\n",
|
|
"bnds = ((-5, None), (None, 5))\n",
|
|
"sol_6_3 = minimize(func_6_3,x0,bounds=bnds)\n",
|
|
"\n",
|
|
"x = np.linspace(-5, 5, 50)\n",
|
|
"y = np.linspace(-5, 5, 50)\n",
|
|
"X,Y = np.meshgrid(x,y) # meshgrid\n",
|
|
"XY = np.vstack([X.ravel(), Y.ravel()]) # 2D to 1D vertically\n",
|
|
"Z = func_6_3(XY).reshape(50,50) \n",
|
|
"\n",
|
|
"xs = np.array(xs)\n",
|
|
"plt.figure()\n",
|
|
"plt.contour(X, Y, Z, np.linspace(0,25,50))\n",
|
|
"plt.plot(xs[:, 0], xs[:, 1], '-o')\n",
|
|
"plt.gca().set_aspect('equal', adjustable='box')\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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l8Pv9FXG7n5yxdgu5RkLIsizy+Xzla7YQksnzkqOEFD6SQ2cnb55mTQSFEMzOzrK+vs6lS5fwer0HPqZ2C5/q1tbly5e35UbtRf2qdalUIh6Ps7a2VtkwikQi9PX1EQgE5AWoCQ5zoFxRFPx+P36/n5MnT7acM9aITj8eKYQkxwUpfCSHym6xE80MGBcKBSYnJwkEAly5cqVtlY92Cp9CocD169crra12XAwcDgeDg4MMDg5W7iMWi7GwsEA6ncbtdleEkNfrlRegHqdRzlgqlSIej3Pr1i1KpRKhUKhSEWo089VtISeFkOSoIoWP5NCwqzw7xU7sJT42Nja4e/cu58+fr3ittIt2naCbbW0d9KLlcrk4ceIEJ06cqJknmZ2dJZPJ4Pf7a+ZJDsJxmfHpZVRVJRQKEQqFmJiYqJn5WlxcxDTNmngNh8Nx6JYIOwmhXC5XM0gthZDksJHCR9J1mo2d2KniY1kW09PTJJPJfbWNukF1a6s69b0bNJonqW+jVKeUt7IxdpwuVIctFFqh0cxXMpkkkUhUcsbs9qctLA4bWwjZ728phCS9wuG/OyRPFK148zQSPrlcjuvXrzMwMNC2tlG76URr6yDs1EaJxWKV6kGvbIxJmkPTNPr6+ujr6wPK1dNvfetbpFIplpaWUBSl8pyGQqGeidfYSwhVJ89LISTpFPIMJ+kK9bETzczi1Le6VlZWmJmZ4eLFi0QikY4d60FotrV1mFS3UaqrB7FYrLIx1msXzU5wlCo+e2GLhaeeegqHw1HJGdvc3OT+/fs9mzNWL4RM08QwjMr3WJaF2+3G5XLJ5HlJ25DCR9Jxqr15WnFgtis+pmly9+5dCoUCV69exeFwdPiIW+cwW1sHpb56YGdSbWxsMDMzU9kYi0Qicr6nh6kWco1yxuq3AMPhcGULsBeMCRvNCN27d4+hoSGCwSCKotRUhKQQkuwXKXwkHaXem6fV2IhcLse9e/cYHR3lmWee6ckTXa+1tg5KfSZVoVAgHo+ztLTExsYG8XicbDZLJBLpiANxNznKx17PbhWsRluAiUSC5eVl7t69W5Mz1it2CHbF12572bOB1WHFUghJ9oMUPpKO0OwA824/b88rXLp0iWAw2KEjPRhHobV1UFwuVyWKYWZmplLNqnYgtjPGDrox1k2OW/Wqldady+XaljNmu4RX2yGEw+Gu5IzthGVZNb5e9RUhKYQk+0EKH0nb2c2bpxkMw+DmzZvk83nOnDnTk6JHCMHMzAzxePzAra2jdHJWFAWXy0V/f/82B+L9Gu8dFk+y8KnH7XbX2CHYQqg+ZywSiXTVF6pa+NTTSAiVSqVtQqg6cPUovdcknUMKH0lbsQeY99PaAkgmk9y8eZOJiQmCwWBPzB7Uc9xaWweh3oG43njPMIxtfjO9xHF67tol5BRF2ZYzls1ma3yh2p0zthOtiDlFUWqGthsJIXt13s4ZO07Pv6R5pPCRtIV2tLbm5uZYWVnhxRdfxOfzMTc311RkRTexW1udME08DtQb79kbY3b1QAhRkzHWC9tFx4lOXMgVRcHn8+Hz+RgbG6up8k1PT5PP5ysGmeFwuK3tzt0qPs0cd70QKhaLlcBVO3nerghJIfTkIIWP5MC04s3TiGKxyI0bN/B4PFy9erVyomsmsqJbtLO1ddRppbLQyG8mHo9XNsY0TavJGOtmhe84rbND96pXncgZ24mDCJ9Gx20LIfs1bAsh+8NafWtMcjyRwkeyb+q9efYjemKxGLdv3+bcuXOVjRObZkNKO4n9KVG2tsoc9LHrul6zMVYsFonFYiwtLZFKpXC5XBUhdNQ3xp4Ums0ZsytCrTiF2x+mOnHMQEMhVCwWAaQQOsZI4SPZF/v15qn++ZmZGWKx2I4VFFVVK6LqMFAUhY2NDaampmRrq0M4nc7KxhhQyRibm5sjnU53dJbkuA039wq75YwtLCw0zBnbCSFEVwSHFEJPFlL4SFrmIN48UF6dnZycrFRQWs3q6gZCCAqFArOzs098a6ub1A/V1s+StHtjTFaUOs9OOWPVc1/2vzeKTDmM56iRELKrv9VCqDpnTAqho4MUPpKmqW5t7WeAGWBtbY179+415XuzVzp7p7C3tgAuXbrUc5tITwqNNsbS6TSxWKyyMRYMBunr6+vJjbFuc1QqWI3mvmwhVB+ZctitbptGq/P2h6P6YenqrTFJbyKFj6QpDurNY1kWU1NTZDIZrly50lSf/zAqPtVbW7Ozs12976PAYYlRKL8egsEgwWCwsjG2tbVFLBarqRzYLZS9NsaO23DzUUXXdaLRaOWDkB2Zsrm5SS6X45vf/GZNdlwvVFb2EkK247TdFpNCqLeQwkeyJwdtbWWzWa5fv87w8DDnz59vKaurWxfZRltbDx486JlPnJLt2BthdmCtHcwZi8W4f/9+zb/3qidUOzkuF9bqyJREIsFzzz1HIpGoyRmrjtfohee1kRCyLIt8Pl/5mqZpNa2x4/J8HUWk8JHsyEG9eQCWl5eZnZ3l2WefJRQKtfSz3drq2smQsFvVDXkCbA/1wZzFYpF4PM7KygpTU1OVjbFIJILf75cVnyOC0+ncljMWj8crOWMul6tSEeqlnLHdhND6+jr9/f14PB4phA4BKXwkDTFNk3Q6jdPp3HfsxJ07dzAMg6tXr24bWGyGblR8djMkPMy2juTgOJ3Omjwqe2PMjmEoFAosLi7S19fXUfdhyf5p9P6rzo6DnXPGeilEt/4curKyQjgcJpfL1QxSy4pQd5DCR1KDPcBcLBZ55513+I7v+I6W34CpVIrJyUnGx8cZHR3d9xu4kxWfZgwJpfBpzFH9ndRvjL355psIIZieniaXy1U2xvr6+no6Y0xSS33OWC6XI5FIVCwRDitnbDcsy6oMQcPjipAUQt1BCh9JherWlh3o18qbTQjB/Pw8i4uLvPDCC/j9/gMdT6eGm5vN2uoFA8Ve47icfG0X35MnT1bch3cy3YtEIj2/MXZUxehu7KcVqSgKXq8Xr9e7LWfs/v37ZLPZbfEah/GaNk2zZvjePtfa4wSNhFB18rwUQgdDCh8JcPDYiVKpxI0bN3A6nVy9erUtGUydEB6tZG11c7hacrgoilLZGDt16hSWZVVWrOfn52s2xkKh0L5at53kOM4rtSOuopWcsUgk0jW/rr2er0ZCqNpKBKhsjem6LpPnW6S33r2SrlMfO7GfE00ikeDmzZucOXOm0ndvB+0UHs04RdcjW11PLqqq7rgxNjs7WzHl65UVayl8mqNRzphd6bt7925bc8bayU5CyDCMirt1dWtMCqHdkcLnCaYdsROzs7Osr69z6dIlvF5vW4+vXa2u+tZWsyfTbgmftbU1Njc3K0Z8vZ5Y/iSKwUYbY/aK9b1793A6nTUr1t2+6BxH4dONx9So0lfd8rRNMveTM7bX/R705+u3xmwhZP97dWtMCqFapPB5QjmoN0+hUGBycpJAIMCVK1c68om3HRWfVlpb9XRa+FiWxb1790ilUgwPD1f8Z2yfkr6+PgJ+P8rWBvjDoLfnpHsQ5MmzTP2KdfVmUSqV6vpA7XEUPp2o+OxFo5wxu+XZas7YbrT7vNJICBmGURMgLYXQY6TwecJohzfPxsYGd+/e7Xhw50FmfPbT2mp0/50SPvl8nuvXr9Pf38+lS5colUqVi2glsXz+IU9PfQ3dKrF27j14zj4v1657lPrNokYDtX19fR2bI5HCpzPUtzx3yhnrtdmvRkKoVCptE0LVgavH7fWzG73xLEm6QquxE7bwsE8+lmUxPT1NMpnk8uXLHe9/77fVtd/WVrvufy/sKpSdV2Y/HzY1ieVKipzDQ0H3szQzQy6Xq7mI9soMguQxjQZq7YyxO3fuUCwWazLG2tE+kcKnO+yWMzY7O1uTMxYKhRq2revf793A3mK0aSSE6gNXj9vrqRopfJ4Q7CpPK60t+8Kvqiq5XK5SodhtBbyd7KficpDWVjvufzeEENy/f5/Nzc3mq1AX340TGHn0xx7GrA7qrM6n6sYnzidxxucgKIpCIBAgEAhU5ki2trZq2icHfQ6Po/A5Co9pp5yxjY0NZmZmKrEp4XC4MgRvWdahz/E1EkLFYnHXwNVefy5aQQqfY85BWlv2m3R1dZXp6WkuXrxYKfl2g1aERztaWwe5/70oFotMTk7i9/sPVIWqHsa0gzqTySSxWIwHDx7UlOY7kU91nE5+h4W9ERYOhzl9+jSmaZJIJGrSye3nsNmNsaMgElqlFys+e1GdMwa1Q/B2zlgwGMSyrJ56fLsJIVv0OByOSmvsqAshKXyOMQf15lEUhTt37mCaZtOJ6u2k2eNtV2ur0f23Q/jY6/7nzp2rzPG0RKmAElsCVUcMnKz5p/rSu32irc6nsttivWLfL6lF07RtVYN4PF7ZGHM4HI+H3XfYGJPCpzdplDO2urpKoVDgG9/4RiU/LhwO90zOGNQKIfscWCwWKRaLfO1rX+PBgwf8zM/8zGEe4oGQwucY0g5vnnQ6TTKZ5NSpU5w5c6Zn3pD1tLO1Vc9BhY8QgocPH7K8vNz6un92C3XuBurmImxtoABW/0nMOuFTT/2JNpfLVapBmUym40O2koPjcDi2XSxjsVhlY8zj8VSEkL0xJoXP0cDlchGNRkmlUjz77LOVeI1ezxkDKkJoY2OjJnX+KCKFzzGjHd48i4uLPHz4kFAoxPDwcE+8+erpRGurnoOs0xuGwY0bN3A4HFy5cqX1nr5RQp27gYgMIc5dQURHEKGhlo/D4/EwOjrK6OhowyFbe7YkEon0zEaKpBaXy7Uti6p+Y8zr9WKa5mEfals5jmIOagWdnR9X/9zaOWM+n6/yHu2VnLF0On3gOKLDRp7pjhEH9eYxDINbt26hKApXr17l9u3bPZlV1anWVj37Xae3Q1onJiYYGRlp6n62EejD+ODHQWvfW7R+yNY0Tba2tojFYszNzTU9WyKHmw+P6iyqajG7srJCKpXirbfeqhjuRSKRrren28lxrPjA9pwum0bPbbUtQi6Xw+fz1cRrHIYQymazjI6Odv1+24kUPseAdnjzJJNJbt68WXOx7tQ690HoZGurnv20uhYXF5mbmzt4SKuitFX0NMLeOLEH1u2NlGo3Yrst5vf7j/xA43HEFrN2qOW5c+cqG2OLi4tt2Rg7LI6r8Gn2ce1ki5BIJLh3796h5Yxls1l8Pl9X7qtTHJ13gaQhrXrzNPr5ubk5VlZWePHFF2te0L0kfLrR2qqnFeFjmiZ37tzBMAyuXr3a3guMEJCOoyZWULY2MC9+Z1kYtZn6jZR8Pk8sFuPhw4eVsruddSTpLez3f6ONseqtv2Z8ZnqFw/C76Qamae5L0FVXbOtzxqr9oWyR2ymPL9nqkhwq9gDzfltbxWKRGzdu4PF4uHr16rY3Y68In261tuppVvhks1muX7/OyMgIJ0+ePPjJWgjIJlFjyyjxZZTECkqp7K8hPAEo5sHlOdh9NIHb7WZkZISRkZFKqvXs7CwrKyusrq5WrPsjkci+rfsl7WGneZj6rb96nxk7HsXOGOulCosdvnncaJePz245Y0tLSzU5Y+18j9pzZUcZKXyOIO1obcViMW7fvr3rinUvCB/DMPjGN77RldZWPc08frst9NxzzxEKhfZ9X9UXLu3Wf0ZdmSl/3e1H9J/EjAwjwifAczgnHLvSE4lEiEajDA8PV+aD5ufnEULUzAf1ciXhONLsIHB9Va9QKFQulKlUqqe2iizLOlKtuWbZb8VnL+pzxuwZvnYaZQJkMhnZ6pJ0l4N687TSMjpM4WMfZ6FQ4L3vfS8eT+crHPXsNtxsB4ym0+m2eBxVP4/W0GlEaBArOgqewIFutxPYn8TtlgqUBWp9JcGeD+olf5Ljyn43oFwuVyUepXqryLY/8Pl8leex2+/B4zzj040PBvUzfNU5Y3Nzc/vOGctkMgQCvXdeagUpfI4I9d48+xE9+XyeycnJpltGmqYdyopsdWvL7/cf2mbKTq0uO2A0Go3y8ssvt/2iLvpP0qt7Uzs9Vl3X6e/vr1Tl7EqC7U/i8XhqLqBSCLWXdqx+N9oqymQyxGIxpqamKBQKBAKBysW00zlxx3XGp12VrNz9B+jhEI6+5tz0G+WMJRIJYrFY0zljQMUP7Cgjhc8R4KDePADr6+tMTU1VgjGb4TAqPvVbW/F4/NDWpxsJn/qA0a5hFFGSayiJNdTkKub4c4j+3c0MD5P6SoK9ljs9PU0+nycQCFSE0FFeue4VOuF5Y7c3/X4/4+PjNTMkdk6cPecVDofbPud1XGd8dlpnbwUhBI6BfvTA/gVI/YeVnXLG6uNv9qr4fPzjH+fLX/4yg4OD3Lhxo+bf/sk/+Sf87M/+LOvr6/T39yOE4G/9rb/FV77yFbxeL7/927/Nyy+/DICiKD8B/NKjH/2HQojP7/vB1j/2dt2QpDMc1JvHsiympqbIZDItt2RUVe1axWenFtx+vXTaQbXw2VfA6EGwTJTkenm4ObmGko6jIBCqhgj0g3p0Zmjq13LtC2gsFmNxcRHLsmpmD+R8UOt0w+yv0QyJ3Tp5+PBh2+e8jnOr66CPS1GUA4meRjTKGYvH46yurvI7v/M7/Nt/+295z3veg2mau4rcn/zJn+TTn/40H/vYx2q+Pj8/z1e/+lXGx8crX/vDP/xD7t27x71793jzzTf51Kc+xZtvvkksFgP4e8BlQADvKIryB0KIeDseqxQ+PUp1a2u/A8z2ttHQ0BDnz59v+cSoqmqltdZJdtvaOsw5I9u5uV0Bo3tiFFHWH6Lam1ymgVBURCCKNf4sIjSECEaPlOhpRPUFtDqk0y65q6paMx90HC9+7eYwXI732hizKwZ2xlirz+NxFT6dGm5uN06nk6Ghocr14/u///v56le/yh/8wR/w6quvMjo6yvvf/36++7u/mxdffLEidN/3vvfx4MGDbbf3Mz/zM/zqr/4qP/ADP1D52pe+9CU+9rGPoSgK73rXu0gkEiwvL/PGG28A/LEQIgagKMofA/8V8IV2PDYpfHqQg3rzACwvLzM7O8uzzz67722jboiOvQwJD1P4KIpCNpvl7bff3n/AaCuYBvr02wiXF2twAhEZQYSHOm5k2Crtbj3Wh3TanzSrN41sIdQrtv29Ri/EOzSqGMRiscrzaAdy9vX1NbUx1guPqRO0Y7i5uLyM88SJNh1Rc0xMTPDJT36Sf/kv/yXf+ta3mJub42tf+xr/8//8P3Pr1i3+4i/+YseOwpe+9CVGR0d58cUXa76+uLjIyZOPW/ZjY2MsLi6yuLgIMF/1rQtA2+yie+uMKsGyLFZXV0kkEpw+fbrlN75pmty+fbstRnqdFB3Nto7alZDeKkII1tfX2dzc5NVXX20tYHS/uLyULv/X4PbvbVAoBBhFcHR2wLSebjwf1Z80G2VTVc8HdXrA9qjQiyLB6XRW5ryAhjlUdmus0cC7rPg0ZuvrbzL7//4FzvzT/wX/iy+08ciaw/4wPjExwU/91E/xUz/1U7t+fzab5R//43/MV7/61S4d4d5I4dMjVHvzCCEoFAotn8jsjKjx8XFGR0cPfCLslPCxW1uhUGjP1tFhVHzsgFHTNBkaGuqO6LHZaX1dCMhtoW6to6Q2UdIxQGC89L0dcXHuFRptGtnzQdUDtn19fUcukqGd9KLwqccO5Kw2xKwfeK/eGDuuwuegFR//pZcY/8W/g+/Zi208qubYz4eemZkZZmdnK9WehYUFXn75Zd566y1GR0eZn39c2FlYWKiEKgPV2xtjwBsHOfZqnsyzRI9R39rSNK2li70Qgvn5eRYXFw+eEVVFJ0RHq1lbB0lI3w/VAaNut5vV1dWu3fc2inmU5CpqchVlax3FKAIgnF5EcADh76M899fbF7x2Uu1WWz1gWx3JYLdTqjdRjjtHQfhUU70xdvLkyYYbY6VSiXg8jtPpPFbO4AcVdKrLReTDH2rjETVPLpdr2c/p+eefZ21trfL/ExMTfOMb36C/v5+PfvSj/MZv/AavvfYab775JqFQiBMnTvDhD38Y4EOKoti7+h8C/k67HocUPofITt48rfjnlEolbt68icPh4OrVq23diGmn8NnvVlQ3t7qWlpZ48OABzz//PIFAoPur9EKgZOIoiVWU5ApqJlH+ssONCA9jBvoRwQFwdbEC1fAwe8dlqNGAbTweZ2VlhampKVwuV6UtdthOxJ3kqK9+N9oY+9a3vlVZ0Kg22zvqm3/tWGc/LJpxbf7xH/9x3njjDTY2NhgbG+P111/nE5/4RMPv/chHPsJXvvIVzp49i9fr5XOf+xyA/X7+H4C3H33rP7AHnduBFD6HRH3sRPUJuVnBkUgkuHnzJmfOnKn00dtJu4RPoVBgcnKSYDDY8lZUN1pddsBoqVSqmYvqZptNm7+JuvkQpVRAAMLfhzl2ESs0BN5Qz7Szel04OBwOBgcHK4Po9U7Efr+/IoSOE91yA+4Wmqah6zoTExM4nc4as7379+/v6DFzFDhIxWfts/8bolRi6K//P9t8VM1hz2btxhe+sPviVfXGl6Io/OZv/mbD7xNC/BbwW60eYzNI4XMI7BU7sVfFRwjB7Ows6+vrXLp0qWMzKO248Nutraeffrqy7dEKnR6mtT9RnjhxgvHx8ZrnoquD1UYR4Y9iRkYQocHmhpaFBbkU6E5wdj/S4yhQP1eSTqcradaZTIa7d+9W5oOOcjvlqLW6mqFaINSb7dmbf9WVPVsI+f3+nv5dHMSR2srnSPzhV4h89L/BOTLS5iPbm+OQ0wVS+HSV+tbWTqp/N8FhV08CgQBXrlzp6Cedgwifdhn+dbLqYgeMPvvss5XMqWq6KXzM05f2PhkaJcgmyu2wTAKySRTLxDpxDjF0pivHeZRRFIVAIEAgEGB8fJy33nqLwcHBigEfQDgcpq+vj1AodKSqCEe91dWI3Soj1Zt/8Liy9/DhQ9LpNF6vtzLr1WsRKfu1KAHo//G/Qml5GVEqtvmomuM4xFWAFD5do5XYiZ0qPgetnrTKfkXHQVpbjY6h3eKj2YDRw1qlr/Bok0vZWkfZWi8LHUCggCeA6BtD+MII//Fq23QLexDabnvZBnzr6+tMT0/jcDgqbbFeryIcx4pPK4+pvrJXHZGSy+UqG2N9fX1H2gJB74ty8h9+5tDuXwofSdO0GjtRLzgsy2J6eppkMtmduIQdjqMZ2i3O2j3c3ErA6KEIH9OA1MYjsbOBYpRnfvCGEMNnsXyR8szPIZoa9tJw835p9BjqDfjy+XxNFeEwk8r34jgKH9jfTFl9RIptgWBvjJVKpUrGWCQSORItTiubZes/fJngRz6K6urO+b8RstUl2ZP6AeZmKx/Vb/ZcLsf169fp7+/n8uXLXT25tbJd1qksq3a2uloNGO2W8Cnlc2zev01YZHHmkijCQqg6Ilje4hLBgfIcTw9wHC+uO+F2uzlx4gQnTpyo8Z2xk8qDwWBFCB32xfO4Cp92UG2BcOrUKSzLqmSMzc/P12yMhUKhjntB7eecUpybJfavPg+qSvgHfrgDR9Uc6XRaVnwkO9OO2InV1VWmp6e5ePHioWyhNCs62tnaqqcd4mO/oqwbW13Z2Rvoa/cZUsBAY9V0sKX5cIaHiTRj7W8akNuCYhb6xjp6rMeJVoVCI9+Zra0t4vE4CwsLlaBVez6o2xtWUvg0j6qqNS3ORhtj1UKoneez/T5P7meexfPSKyT+r98n+D3fi3pIVZdsNiuFj6Qx1Q7M+xE9pmmSy+VYWlpqOVG9nTRz3J2eOzqo+DhIwGinKz6Li4tsrWzwVP8YZnQExRdhQFHw53IVQ75MJlOJaOiLRHAqFmSTZbGTTUIh83juJzwMqnxLdwNVVQmHw4TDYU6fPl25eG5ubjIzM4Ou6zUBnZ0WJVL47J9GG2OJRKKy/OB0OitC6aDP5UFW2fte+6ss/uLPkrs1ie/Ku/Z9DAchk8lUPLOOMvIs2Ub229qqJp1OMzk5iaZpvPTSSz17MutUa6seVVWbbrfVk0wmuXHjBmfPnq1sf7RCp4SPZVmVPLVnr7wXTdMqm35QHtS0bduFUSK3uYSVWICNuyhq+XgsRQVPEGVgAuEJgicoRc8hUn/xLBQKlWpQOp3G4/HUzAe1+30thU/7cDqdNV5Q9qzXwsICqVSqsjG2n9Dc/QgfUSpixmO4zpxj/J/9Nnr48JYZ5IyPpIa9vHmaYXFxkbm5OZ577jlu3LjRsyeyTra26tmP+KiO8DiIz1EnhI89szU0NMSpU6ca30epAKl1SG2iZBL4EAhVg1AU0x0kaapsbGVJrCfR43H6+hT6+hxd2zw6LsPNnfxduVyuSkBn/ZaRnUtlC6F2VHSPo/DplddZ/ayX/VzaobnVpph7fQDcj2vzxv/0DxG5LAP/n189VNED5Q/mgcAOeYJHCCl8Dkiz3jy7YRgGt27dQlGUinOwvc3Ua94csViM27dv9+xKvWEY3Lx5E03TDhzh0e5V+o2NDe7evdtwZksU8yipDdhaR8kly19zeiE6hvBHwRsERUUFIkDkkVF3oVAgFotVNo/8fn+lxdKJKtxxu7h2g/oto+pcqsXFRSzLqgla3c9r9jgKn16k0cZYOp0mFotx584disViZeg9HA5vE7X7Oaf73vcB4v/br5P/5pt4Lr+7nQ+nZeSMj6Qlb56d2Nra4saNG0xMTDBS5cRpX/B7Rfh0q7VVTyviI51Oc/36dU6dOmWn+x6Idq3SV//uLl++XPEREUYJK7GCFV9+nMvl8iEGJiA4AK69S8pOp5Ph/gjDPgfkfeSFynrBqERwyOTyxhymUGiUS5VIJIjH48zOzlaGb+35oGbOAcdN+ByVx1NtimlvjG1tbRGLxVhYWMA0zZqMsf1UfDyvvpfUl/8tW//nF3G/fBVFPbxoEtnqesJp1ZunHiEEc3NzLC8v8+KLL257Mdmr5L1wsepma6ueZsVHfcBou+77oBWfUqnE5OQkXq+35ndnrtzHWr1fjp1w+bD6J1BCe4sdIQQUsuXh5nyqHFlhPpoPUlTcoSHGx08xPj6+Lbm8+oIaDAb3fWHplRbEcUHTNKLRaMViwY5jWFpaIpVK4Xa7K8/bTjMlR0UoNEsvfehrheqhdyhXoO3V+QcPHlRGIeLxeFMbY6JUQnE4CP43P0bsf/0n5N7+L3hffW8XHklj7GWLo87hX1WPGO0YYC4Wi9y4cQOPx8Orr77a8DZa8dDpJIZh8I1vfKNrra169mp12YPC9QGj7eCgF5JUKsXk5CRPPfXUthBZxeVFjY6i9I2AO4BVKiGARvcoSoXyBlc2CblkeYUdyt4+niB4AuU/ztqLYn1yebFYJBaLsbS0xN27dysDt7atfzMcp4trr1IdxyCEqMQx2DMljVyID5L/1IscVeFTj67rNaJ2bW2N5eXlysaYw+HYcfuvOHWT1Od/g9D/65dwv/IuQn/lE7ieef6wHgognZufSNrhzWPPyJw7d66yNdCIbiaDN8JuzxQKBd7znvd0LAh1L3aruuwWMHrY2BWoF154oeGJQo0MPx7UofZxlqs6GUjHyn9K+fI3aQ7whsvOzZ4gSjNBplU4nc5tA7exWKxiyHfU3GwPwlGpkCiKgtfrxev1lrf8qmZKbt26hWEYhEIh8vl8T3xQahdH5flpFVVVCQQCPPXUU8D2jTGPx/N4Rm94FFEskPn3v0foEz+D/wMfOeSjlxWfJw57gPkgra2ZmRlisRgvv/zynp+wD7PiU93aCgQCh+YjBDsLwL0CRg8Ly7IqQ46tVKBssSPSMUhvlje7UMpDzaGhsthxtm8NunpI0zbkq3azBWraYsfh0/dxoH6mxG5n2n5amqYdi+ftuFR86ql/XPUbY/XVvaFnL+N75z+TnrmL/8z5QzzyMvl8/khnndlI4bMH7Wht5fN5JicnCYfDTc/IHFbFp35r6+233z7UylOj3LJmAkYPg3w+z7Vr1xgcHOSZZ55pSqSIUh4zsQbxlceVHW8IIqPgj6Boe1dehBBQyiMKWUQxhyhkUftGUN3Nl6Tr3WxLpRLxeJyVlRWmpqYqcyaV+zviHJeKgt3O9Hq9XLhwAVVVicfjrK6uMjU1hcvlqgihPV3Ae4jjKnx2G25uVN1LnZ4gf+MbxP7t/86tv/T9BIPByvv0sM59x+F5kcJnF9rhzbO+vs7U1FTT+VA23a747LS1ddgtt+oWUKFQ4Nq1a00FjHYb+xP3M888s6ezqbBMrNQmZnwF8WibC08Awicg0Len2BHCQuSziHwKkc8gCtnykDSAoqI4PeVk9wPgcDhqTNxs75Ll5WXy+Tz5fL6tPjSSg2ELufrnza4gzM3NdcXuoF0cV+HTzOMShkH+T/4vtKFRgpfejfb+j6D84b/h0qkxMi5vxQahfmOsGxljvXTOPQhS+DSg3ptnP6LHsiympqbIZDL7qkx0U3DstrWlaVpPVHzsSlSrArLTCCF48OABa2tre675CyEwV+9jxlfBMsDhQhsYRwsPUULb8cRiV3SsXAqRK4sdW+goTg9qoA/F6UVxecHh6sjJyf4k6nQ6SaVSRKNRYrFYxYfmMHOq9sNxOonDzo/H4/Hg8XgYGRmpBK3GYjHu3r1bmeuy7Q56aa7ruD0/NqZp7v17VlWM6VsU3/5P6BdewP2eD1D45n9BbCUInxupxKRU2yA8ePAARVFqMsY68T48Ls+LFD51tMObxx66HRoa4vz58/u6jW5VfPYyJDxIZEQ7UBSFVCrF9PR0V/2DmsEwDCYnJ3G73Vy5cmXPT3KKoiCKOVR/BK3vBIo39Pi1USzWfK8QFiKXRmSTWNmtxyvrDheqvw/FE0Dx+A/F00NRlIoPTXVO1cbGBjMzMzgcjsq22FFqrxxlmrkgVQetjo+P18x1PXz4EKAiYIPB4KEK2ONc8dnr96qoKp7/9mOk/+nrFL727/F85EeJ/OL/uO35rbdBKJVKNe9DOy/Ozhg76O/zOG0OSuFTxUG9eQCWl5eZnZ3l2WefJRQK7ftYOl3xadaQ8DBbXaVSiVu3bmFZVtf9g/bCXlU/ffo0J06caPrn9JPP7vi6EkIgcimsTByRTYJllVtXngCqN1gWO3rzlcNufTqrz6nK5/M1Iau2pX/1+nUvcFxO4rC/57pRSnk8Hmd9fZ3p6emaVetuxaHYHFfhY5pmU49LH53A8dK7KPzFn+D6zg+jBva+ljgcDgYGBiofYO28uKWlJba2tiobY5FIZF8fSLLZ7LEwLwQpfIDHra27d+8yPDy8L58C0zQrwZNXrlw5cNm4kxWfVgwJD0v42AGjp06dYmVlpadOgra43Y9ZYqOTjVXIYsZWsdLxcgtMVVG8YVRfCMUdQGnSuVeUCljFHKKYxyrmEUYR1+jTXb/Au91uRkZGKu2V+vVru6qw33iGdnAcBrSraYfI1XV924UzFosxPz9PKpXC5/NVhFCzvk/75bgKn70qPtZWHPPeTRyvvBf3B36A0re/TuG//CmeD/1gy/dVnxdnz3vZH0h8Pl9NcO5eHBfXZpDCp8abp1AoYBhGy7dhf/o/efIkY2NjbbnQqKpak9jdLlrN2uq28KkPGNV1neXl5a7d/25YlsXdu3fJ5/MHNksUpoGxtYmRXMcqZAEFxRssz+t4AijKHgOQlolVyGLlM4/ETgF4dDFXVFSnG9UfLs8CKe0VF62Ihkbr1/Zcwv3792tMFusN3CTN04nqnsvl2hbOGYvFuHfvHvl8ftdMqoNyXGZJ6tlL0JXe/BqlP/8PqEOjaGOn0c+/QPHNN3C//6MoBzjfNNoYs+e9bB8v2xgzEok0rMxK4XNMqG9ttVplEUKwsLDAwsJCW6MSoFzxyefzbbu9/WZtdVP4NAoYNQzjUIerbapX1S9cuLDvk7KZz2Ak1jC2NkFYqC4vzsFxLHcQVG33Nlgxh5XPYOYziGKu/A+KguL0oAUiqE43isODojs6dtE46O02imewc43sqkIrn0L3y3G8sHby8TTyfUqlUpXnzh5wtzeMDlrJO64Vn72yupzv+wjG9Tcp/Pt/heeTfwfXu99P5nO/RunuNZzPvtK242g072U/n0tLS5imWTE09fv9eDwe0un0nsLn4x//OF/+8pcZHBzkxo0bAPzcz/0c/+7f/TucTidnzpzhc5/7XMV77TOf+Qyf/exn0TSNX//1X+fDH/4wAH/0R3/E937v994FNOBfCCF+uW0PnidU+OzkzdOK8CmVSty8eRNd1w+cAt6IdgqOg2RtdUv47BQwetjr9MCBN8qEsDBTMUrxNax8GhQVPRhFDw+iucsnEluA1/ycZZWFTi5V/jmr/NpUHG60QBTV7UN1efasDvUy9W7SmUyGeDxe4yZtC6FeyK2TlKkOWq0ecI/FYty/f78yWLvfSt5xFT57PS7F5cb5oR+i8G8+i/GtP0e/9B58f+3n0Z+60NHjqn8+bWPMeDzO3/ybf5PZ2VkuXrxIqVQil8vt+KHkJ3/yJ/n0pz/Nxz72scrXPvjBD/KZz3wGXdf5+Z//eT7zmc/wK7/yK9y6dYsvfvGL3Lx5k6WlJb7ne76HqakpAP7G3/gbAN8LLABvK4ryB0KIW+16vE/cmWS32IlmhU8ikeDmzZucOXNmWwZTu2jXjE+rra16uiE8dgsYbUdQ6H4RQlAoFLh3796BNspKm0uUNpdQHC6cA+PooX4UrfatZz9OYZlloZNNYRUyZT8eRUX1+NE8AVSXd9vP7vUYhGWitvAzh0X1p9BqN+lYLMbc3ByKohCJRIhGowfeUjmOFZ/DpH7A3R6sXVxc3BbF4PHs7UB+XIXPbhUfa20RJTqE/twVSm9+jeJ/+kP0S+/BceaZLh9lbc7fF77wBTY2Nvjn//yf89WvfpXv/M7vJBgM8v73v58PfOADXLlypfKh5H3vex8PHjyoua0PfehDlf9+17vexe///u8D8KUvfYnXXnsNl8vF6dOnOXv2LG+99RYAZ8+eZWZm5j6AoihfBH4AkMKnVZrx5tlLbFR7tly6dKmj+VUHFRz7bW21+zh2o5l4h8O6OBmGwY0bNxBC8Morrxyo2qCHBlHdfjRfqOHjEUKUW2DpOFYuVRY7mo7mC6PaYqcZF2ghsEpFzFIB89HfllFC1XT8g2P7Pv5G99MNdnKTXl5e5u7du7jd7pqQ1SdZyPTasHajwdpYLMbMzAy5XK4maLXRfNBxFaY7CTprfZnS5/9HtL/0/ehX34/zOz5I/vf+f5j3JtHPv3gIR1pLf38/Fy9exOl08vrrr7O6usrXvvY1fuu3fou/+Iu/4G//7b/d1O381m/9Fj/2Yz8GwOLiIu9617sq/zY2Nsbi4iIAJ0+erP6xBeDVNj0U4AkRPvWtrZ3eULsJH7tdFAgEmvJsOSgHqfgUi0WuX7++r9ZWPZ0SPtUBo83GO3QLu+02MTFBoVA48O2pDieqY/vJ3TJKlLY2KabiCKMIiormDaH5wihO956/E2GZGMUCZjGPUcxjlR57ASmKiup04nR50Brc9345zOep2pW4+mI6PT1NPp8nEAhUhFAvmfE96VQP1o6NjZWjGB7Nk9y8ebOy6VftQGxZ1rFsbe60zq4OnEA9cxHzL/4D2sVX0M6/iBIIU3r7P/aE8IHaZPahoSFee+01XnvttaZ//h/9o3+Eruv8lb/yVzp1iE1z/F5ZdbQSO6FpGsU6Izl4HEew33bRftivceBBW1vtOo7d6NWAUYCVlRXu379fabstLCy09dO0Xd0pbm1ipBMAaB4/amgAxe1D3cWQUAhRFjmFHEYhh2U83vrTnC6cviCaw4XmcKJoek+JyXZTfzGtH7YVQlQqCqFQaNvF5rhWFI4CiqIQDAYJBoNMTExU5kls7ydVVSsuxMet5SWE2PHx6N/931L83C9jvPEHOP7rv4rjlfdSfOPfY8XWUfu6c93ZjWrh0yq//du/zZe//GX+9E//tPK+Gx0drQQiAywsLFTmO6u/DowBi/s87IYcW+FT39pq5s1TX2WxLIvp6WmSyWTXXYNbjYpoV2urnnau1du/z62trZ4LGLUjRrLZbI0PU7tmjISwKKXiFJMbWMU8qBrO0ADOUBTV4aqI820/Z1kYhRylfBajkK1kcGlONy6/D83lLgudIzzg3A4aDdvG4/GKyK4P6zxuHGURVz1PAuWK9dTUFIlEgvX19UpArh3GepQfayPBLYwSmAZKpB/t6vsx/8tXsS69F/3l92JtrpX/vQfIZDKVDLhW+KM/+iN+9Vd/lf/4H/9jzXjIRz/6Uf7yX/7L/Hf/3X/H0tIS9+7d4+rVqwghuHfvHoqinKYseF4D/nLbHgjHVPjsN3aiWvjkcjmuX79Of38/ly9f7vqbrZVWVztbW/W0q9VVKBS4fv06fX19vPLKKz118qo+tkuXLtUc20GFjzBNilsbFJMbCNNAdbpxD4zh8Ed2NCYUlkUpn6GUz2IWymvriqricPvQ3V50l7sloSOEwLJMhCXQn5AWUL0ZX715m9vtxjAMCoVCT7lJS8qbfl6vl2AwSH9/f6WlOTs7SzabrQlaPWrP3TbRY5mYv///LYueD/8VtFe/B/Pbf4759tdw/Dcfx/1DnzikI91OMz4+P/7jP84bb7zBxsYGY2NjvP7663zmM5+hUCjwwQ9+ECgPOP+zf/bPePbZZ/nRH/1RLl68iK7r/OZv/mZl8Ps3fuM3+L7v+77/QHmd/beEEDfb+ViOnfA5SOyELTZWV1eZnp7m4sWLlcHKbtOs4Gh3a2u/x7Eb9jGeP3++svXRK8TjcW7durXjse1X+FhGiWJineIjvx7N48cVHkTzNLb+F0KUqzr5DEY+W75vTcfpC6K7vWhNho8KITBKJQyjhGmUMA0D0zAQQqDpOuHowV8jvTZI2wz1YZ2rq6s8fPiwp9ykJY+pbnF5PB5GR0crxnu2E/jt27cplUoVv5mjYHlQ/95RVA31zHNYb34V68IrqKcuoD3/KubbbyDSSRT//mOP2k0mk9nTq+4LX/jCtq994hM7i7df/MVf5Bd/8Re3ff0jH/kIQoinWz/K5ujtV0kL7OTN0wqKohCLxSgUCofeimlmw6wTra1Wj2M3hBDMzs6yvr7ecwGjQggePnzI8vIyL7/88o6+FPsVfvn1BYzsFro/jCs8gOZqvAFolorkUgkK6S2EsFBUFac3gMPjR3U4m1r7NUpFSsUiRqmIUdWWVBQFTXfgcnvQdB1NP3i1p5cqdfulem3+4sWLFTfpag8au/XS7YwqSZmdZnsaOYFvbW0Ri8UqQau2CGo029WLKC//Jbj7Taz/9O9Q/vJZtBfejfnWn2Fe/zr6d3z4sA+vwkFmfHqNYyF8dvPmaZZ0Os2NGzdQVXVbu+Mw2O3+7dZWIBDoeHjnfi/8pVKJyclJvF5vV7bgWsF2iLbNJ3c1FNtnxccVPYG7fwTVsb0UX67uZMhtJSg9qu443D50jw/dtftathCCUrFAqVCgVCpiVkWs6A4Hbq8Ph8OJ5nBUhkQl26metah3k7Yzqh4+fFhxq7WFUC+J92qOYhVuN5odPtc0bZvlQSKR2HG26zDfDw3neywTRdNRv/OjWP/utxDX/m/Ul78L5dTTmDfeRHv3h3rmPSwjK3oIu8pzkET1xcVF5ubmOH/+PA8ePOiZF1ojOt3aqmc/wscOGD179ixDQ0NtOY52beFkMhmuX79eyVXbi/0KH825/QIpLIt8ZovcVvyRv46GNxRF9/iYujeNoiSIRqOEQqGadotlWRQLeYqFPKWq9Xrd6cTj8+NwOtGbqA5JmqM+o8rONLpz506ltWK3xXq9tXJU2e82V31CeT6frxhgptPpmvmgbovY+nOY+PZ/gsVpxPf+JOqp84hTF7DeeQPluXejXXgZ4z98ERFbQ4m25xx6UJppdR0Vjuy7th2tLcMwuHWrbAZ59epVgI4loh+UbrW26mlF+NQHjLbL4NEWHwe9sK+urjIzM8Nzzz1HMBhs6b4PgmWa5FMJcqkEwjLRnW58/VGc3gDZbJZ3vvktRkZGcDgcbGxsMDMzg9PpZCDah9vlQjyKqlBVFbfHi8PlxuFsXehYlkXJMFEAp/PJGHLeiWZfT/WZRo1Wr6ujGQ6jsnkcV/PbtcbudrsZGRmpzHbZIvbu3buVSBS7YtRp76dtrs3+MKzMwY2/gBfei3r1g5j/+p8ibnwd9blXcZ6+gBIId/SYWsEeLD8OHEnh04o3z05sbW1x48aNmmwoewW+1+hma6ueZoWPLSJVVW17dpl9DPt93JZlce/ePdLpdM2qejMcRPhYpkE2GSefToAQODw+vMFIpZ21vr7O1NQUzz33HD6fD8MwCPj9FPM5ioVyQG2pWGQrXc73CoaC+D3ePY9fCEHJMDEM89GHAxPDNLGs8uNwOHSiBxA+x62t0gqNVq/j8ThLS0uVaAY7W6yTzu7VSOHTHI2COe35oPn5+Yr3kz0f1O4h922P6czzMHcb3vkzxKlnUIbG4MQE1s030S59J0qDqvFhImd8Don9ePM0uo2HDx+ytLTEiy++WNOz7MWTR7dbW/U0I3zS6TSTk5OMj4/XBIx28xh2wl5Vj0QivPzyyy0/x6qqtnyht0yD3FacXCoBQuDyBfAE+9Cd5XkfIQQzMzPEYjGuXLmCokA6mSCfy5YvYo8qO06PB113MAiVE/Ti4iSWZVUyq8qVK4VSqUSxZFAsGpSq5n4AdF3D5XSg6xq6pqPr+z+h9+J7ZL+047E4nU6GhoYYGhpCCEE2m61xkw4GgxUh1KmKwnEUPt14TKqqEg6HKyaqdtCqXXVt95B7fcVHURTEuz8CizPw9T+ED/8/UJ97F9YffxGxOIsyduZA99dujpP1w5ERPvv15qmmWCxy48YNPB4Pr776ak8N3NbTroDMg7KX6FheXmZ2drZhwGg7j2E/VQY7TPYgolFRlKZFl2Wa5LZiNYLHG4rWREYYhlEZ+n72mWfYiscoFctzO06XG5fH27CNVW3OV86sSpDYSpNMZXE6H6+6O3Qdn9eNQy8LHE2TA86N6ETVSlEUfD4fPp+vErJaXVGAzmwcHUfhcxiOzY2CVu3nLp1O4/V6a4JWW6XymDaX4Np/gu/8b1G8AcRL74O3/xixMofy1LOgOxAzk9BjwgeOzwefIyF8DuLNY2NXTto5cNsp7NYWwKVLlw51rX4n4dNMwGi7aEV8wONZo6WlpQPPGjXb6sptxckmNxGWhcsbwBOOotdlZNmVsYnxk6gKJOObaLpOIBTG6XIj2PnEYpoWhWKRQrFEsWgg0HC7vTgcOgqCXDbDZmyTfC5XGb6NRCLH5kTVCbpdUWi0cWRXFA7iSCyFT2eoH3K3q3n37t2ryYaLRCJNnaMrj8k0Yfk+fPPP4NXvhYtXYfIv4Fv/EeV7P4Yy/jTi/k3E+z7aM47sx+011tPCpx0DzNVDwbv5tfQK1a2tBw8eHPbhNBQ+uVyOa9euMTw83JWA0VYqPqZpcvPmTVRV5cqVKwfu0zcrfEyjhO7y4Av3V1pa1aysrBDbWGfi5ChYJrrLhS/Sh8tdnvepfp3bWJZFvlAkny9SLJXbV6qq4nY5cbkcOB0OVPXR90dCjI6OYFlWZfh2bm6uMnwbjUYJBAIIwDAsDNNCCPB5nswh58OYU6rfOLIdie/fv082myUYDO6aWL4Tx+2iBL0hfKppVM2zs+EWFxexLKsmaLXReafS6ho8Cc+8inL7TcTJ8ygjTyFeeA+89VXE2jzKM5ch2AeGAW0MGD4ox+l11rPCpx3ePPl8nsnJScLhcEtDwYfxprMF2sbGRqW19fDhw0Mftq4XPvZAbjcDRput+GSzWa5du8bY2BgnT55s2303c5H0RQYavkYNw2Dx4Ry6rhEJBXG53fgDIZw79MqFEBSKJXL5AoVCeZZN01T8Pg8ulwNd03Z9L9hCJxwOY1qCbK5AKp1lI5ljc6uIpj9uo6mK0rLwaVd2mWS7I3EqlWJzc5MbN25ULqR2yOpuAv44XZBsev0xNcqGsz9w3L9/vzIEH4lEKtt+NdeVF/8SYnEavv5l+P6fhguX4dv/CW69hfpdPwSnLx7uA6xjp1T5o0pPCh97gPkgrS37An3hwoWKMVkz2OGg3XySq7e2qs3+Wg0q7QT27/4wA0abGW622wfPPfccoVD7bN6brTbVv0Yt02QrmSCTTuHQNTw+P4FgaMesLMMwSWdy5PNFLCFQFQWvx4XH7ULXdxc7AJYlKJZMCiWTYsmkWLKw7ONWnHg8bhy6grBMctk0yUScQj5HNhl8IqMaeu3CWp1Ybl9IqwdtHQ5H5UJaP2jba9WRdtFLz89e6LpeY4JZv+3ndrtxqTCydhdxYhDFG4B3fz/Kf/htxO03UV54H+L0s3B/EmGUUNrgst5OjtNGF/Sg8LGHmGF/W1t2ynYmk+Hy5cstT6Hruo5hGF0zJttta0tV1UOv+ED5d/rOO+8QiUQOJWB0tyqDEILp6WmSyWRHBFmrFQ7LssiktkhvJRFCoGoaA4PDDQWPEIJcrkA6kyVfKALgcjrwelw4nY69HZwNi1zBIF80KJYeC0NdU/G4NJyO8h+HXjfg3BeAsRMNoxqi0WhPuNw+6dQP2ubzeeLxeMVN2u/3V+aDek3ESbZv++VyOZbv3iCQWCT1tX/N/MSr9EWjDI6cRb3zNly4CqeegbvvwPIsnOxYTNW+OE6uzdCDwsee5dlPOT2bzXL9+nWGhoY4f/78vk4GB8mmaoVGra1Gx3LYFZ9YLEY2m+XChQuHFjC6U8XHrpSFQqGOCbJm22xCCLLpNOmtBJZlkc5mGRw+QSgU3va9lmWRzuRIpTOYpoWmqQT8XpwOHYdj57ekZQnyReOR2Hnsy+PUVQI+J+5HQqcy97MHO0U12Anm9vBmqzMnR4GjJhbcbnfNoK0d1Hnr1q3K4sfGxgaRSOSJqtwdBRRFwev14h4cJWG+SHTuWziUDCt5H1OuQZ4pTbPxX76KuPAqfboTZe6OFD4dpueED+xvjsBeq7548eKBZk/akUa+Fzu1thody2FVfKoDRr1e76Gmqjd6TuxYjHPnzjE4ONix+97rtSiEoJDLsZWMYxoGhmmSTKW58MzFbVVD0zTZSmVJZ8p+PS6Xk0jYi8ftwjTLZoP1WJYgVzDI5kvki48cnBVwu3TcTh23S0PbR2XUtAQlU1Ayyn9HfNq2LRZ7eNOeOYlEIrhcrkMX40869UGdW1tbzMzMkEgkKm7StmANBAJHSuAdZyzLIjdyHpHdxHvvTSa+52MwMYFVWKVvdZr7w+dQfVF892+yNPo8kUiEYDDYE21Mu8p4XOhJ4dMKpmly+/ZtDMNo2ZW3EXarq1O0Ykh4WBWf+oDRr3/9610/hmrqxcf8/DwLCwttjcVo9r6rKZWKbMXjFAt5NE1nI57A6/Pz7HPP11xsyoInQzqdRQBej5tgwLdjbIQQgnzBJJMvkSuUX4uaqhDwOvC4HDgdzXvzmJagUBIUShZFQ1B8JHasuocU9GhU+xpWz5xMTExgGAbxeJyVlRUSiQSFQoG+vj6i0Sgez+7BqpLOoigKbrebs2fPAuUPVrFYjIWFBVKpFF6vtyKEen2r9VhiWagz7wAB1GAE6/KHUP/4X6J+80+w3vuDKM+9B+Wr/5IzegnxvX8ZAxVfJsvKygpTU1MV24NIJHJoLWhZ8ekhUqkUk5OTlcDJdrwgOtXqqm5tNbtW3622WzXJZJKbN2/y1FNPMTw83NX73gm74mOaJrdu3UII0fZYjJ1oJHwsyySVTJJNp1AUFYfbw92pe9vErGlapNIZUulyhcfn9RAM+nA0mB9TFKX8/dkSmVwJ0xKoqoLf68DrduCsn9NpgBCCoiHIlwT5kkW+WK7m2GgqOHUFv1vFoSs4tEd/dAV1j9vWdZ2BgQGcTidOp5Px8XFisRgzMzPkcrmuOBS3k6PW6tqN+sfidDoZHh5meHi4xn9mamqqkk9lP1cyZLUL5FKo97/NCaefxLMfAG8QcfE7UK+/ARsL0D+G8AZgcQrlzAs4gEGfv1LJzuVyxONxHjx4QDabxefzVZ6/bhnbSuHTBZo5wS8sLDA/P992x+BOiI1iscjk5CR+v3/X1lY93Wi72di/04WFhW1RHva/H9aFQlVV8vk8b731FqOjo5w8ebJrx1L/HBTyORKbG1iWhdfnJ53NMTs9U1N9sixBKp1hK5VBCIHX4yYU9Dec3xFCkCuUSKRy5PLl6o7bqRH2OPC49L0HnE1BpmCRK1jkSgJbo6kKuJ0qAY+K26HicihoTc7+NEP1KnYjh+LqVksvlOqPM7u9Nxv5z9hr1w8fPgSoeAf1Slvl2OELYb7w3Xi+9ceYS7dgcBDx1POIu2+h3nkT6ztPwug5mJ0E0wCt9jzh8XjweDyVoNV0Ok08HufOnTuUSqWaoNVOCdnjlMwOPSp8dqNUKnHz5k10XefVV19t+6f+dgufeDzOrVu39hWb0K2Kz14Bo/bF/7CGJrPZLJubm7z00ktd8w6yqa/4aLqO7nDgD4aZuX+fYrHIlStX0HW9nP6czZHcSmOaFh63i1DIj7NBBcQSgnSmQCKVp2SY5eqOx0HA50TXdr74CCHIFgXZgkmmYGE8enk4NIXgI5HjdqjoWvfWgRs5FMdisW3BndFo9NCiV+o5zhWf3bB9niKRCMCj+JN4pa3idrtr2mKH8Ts6jj5R4sRZ4tM3CC/dwZx4BhEeQpx7BfXGfy5HWIydQ7n3TcTqHIzsHFVRPd9lB602ErLtjkWRFZ9DJJFIcOvWLU6fPs2JEyc6ch/tEhvVw8H7dYxWVbWj80bwOEbBbhfudByHIXzsMM9EIsHp06e7Lnpg+1aXrjvwhyJcu3aNgYGBinN1vlAkntiiVDJwOhxE+8K4Xds3oUzLIpnKs5XOY1oCp0NjsM+Px6VhGEbDE1VZ7Fik8xaZvIUlQFHA41SJ+FS8LhWH1voFSgiBaUHRgJJZ/uNzgce58201s3jgcDgaBnfevXuXYrFY02qRG0gH5yAizuFwMDg4yODgYGXturqFWb3Z160W5rHxJRICZfkeom8E3H4W+84QLCbRrn8N470/gnjqRcTdt8qC5/KHEYoCa/O7Cp96GglZOxZlenp6V/+nVshkMo8CkY8HR0L4CCF48OABa2trvPTSSx0daNU0reIjtF+a3dpq5liKxeKBjmU3mg0Y7WbLzcZuD9qfbA7rAll/obcreLYxpmGYJJIpsrk8mqYS7Qvh9bi3nWBM0yKRypNM58vtL7eDUMBTaWfVi20hBLmiIJU3K2JHVcDnUvG7VTwudc+5nOrbKhpQKEHeEJSMstgpGmwbclaCCp42bq7Xt1pM06x8Qp2dnW17AvaTSLuqV/batdfrZWxsrGEsg90Wa2c1oZ5jI3yKObSptxC+MOYr30tJKOTOvor/5tdQH97EmngBceoiysw1hPkBOPUseA62OVUfi1Lt/5TJZCqD7pFIpKUP45lMhpGRkQMdWy/Rk8Kn+k1cKBS4ceNGy/Mx+0XTNPL5/L5//iCtrUbH0olWlx0wWigUmgoY7bbw2draYnJyshIoOz8/f2gr1NXCZ35+nsXFRV5++WXcbjfJrTRbqTQICAX9BPy+bR46pmWR2MqTTOceZWM5iQQ9uJyNf+eGKUjlTJI5E8OsFTteV3PbXCVTkCtCvlj+O1eC6iKNQwOnDiFvedjZqZe/5tBo2gNov9hW/n19fcBj76BGxnytmo+2wpPa6mqFRrEM8Xic9fX1mmpCuw0vj81z4/JiPvMe9BtvIO69jWV5EYOnsFbGUO99A2v0AmL8GdTpb6GszCLe89G2H0K9/1MmkyEej9cMutsVo90qetK5uYtsbm5y586dtoiIZtmv2GhHa6ueTgiOXC5XMXlsNmC0m8LHHlp/6aWXKj1lVVUPXIXbL3a78caNGwghuHLlCqWSwfLqBoZh4vG4iISC6HptRUoIQTKdJ76Vw7IEfm9Z8Dh3MCjMFU02twwyhbJC8TgVon4Nn3vvyo5hCrJFyBQE2UK5kmPjdkDYC26HgtsBTgdNV4q6Qb13ULUxn2EYNRUG2RZrTLeEgr3ZV11NqDe8tJ+vg4jWY1PxAcTQaczkGtr8LYL+CVTtAtb5V9H/4t+Uqz5PvYRw+1CWZxCnOpvPpSgKfr8fv99fGXS3lxIWFhYqFT17Pqj6/ZbNZncVPh//+Mf58pe/zODgIDdu3ADK1i0/9mM/xoMHD5iYmOD3fu/3iEQiCCH4W3/rb/GVr3wFr9fLb//2b/Pyyy8D8PnPf55/+A//IQDT09M/IYT4fCd+Fz0pfOzYiWQyuaOrcafYj/DZ79ZWJ45lN+z8sosXL1Z6ws3QDeFj+zFZllUZFrY5zGDMUqnE4uIiTz31FCMjo8STKbLZPJqmMRCN4PHUnuCFEGRyRTYTWQzTwuN2EA15G1Z4hBCkcwYbqRK5gomqQMirEfKqOPXdB5zzJUjlBOlCuYUF5bkfrxPC3nK7yu1sv8jp5HNRb8xXnVc1PT1d8TPp6+vD6/Ue6GJ/bKoKHN5jcbvdjIyM1GwbbW5uVkSrHbLaag7ccRA+yvocItgPLh/W2csoiVUm0vOYloEID2L1n0SdvYZ1+gXE0ATK8v1yWbaLz2P9UoL9ftvc3KzMeP3xH/8xH/rQh0ilUrsON//kT/4kn/70p/nYxz5W+dov//Iv84EPfIBf+IVf4Jd/+Zf55V/+ZX7lV36FP/zDP+TevXvcu3ePN998k0996lO8+eabxGIxXn/9db7xjW+gKAp9fX1/T1GUPxBCxNv92HtS+MTjcTRN4/Lly11/Q7cqNtrZ2qqnXYJDCMG9e/f2HTDaaeGTy+W4du0aJ06cYHx8fNtzfhgzRkAlw6q8kTTAytoGliUIBnwEg/5toqJQNNiIZ8gXDZwOjRN9Abzu7b9rIQSJTInNrSJFQ+DQFAZCDnwOsa1yVP0zttjZypUHkaEsdAYCCl4XeJz72+QSojzrUz3kbAkYOOTt1fq8Knvw9v79+5XB22g0emS8gzpFL4i4atE6MTHRMAcuEokQjUb3nOU68sKnVEC79zbCG8R84QOgapjPvBf9rS+hzl3HOv8urFPPob/zhyhrc9B3AmXuJmSS4A8f2mHXv99ss93f/M3f5Fvf+hYrKyv84A/+IN/zPd/DmTNnap7D973vfTx48KDm9r70pS/xxhtvAPATP/ETfNd3fRe/8iu/wpe+9CU+9rGPoSgK73rXu0gkEiwvL/PGG2/wwQ9+sNIGB/4Y+K+AL7T9sbb7BttBf39/WxO2W6FZ4dOJ1tZ+j2U3CoUC169fP1DAaCeFx8bGBnfv3t21CtVt4SOEYG5ujtXVVc6cOUvJFGzGkzidDvoiwW3r6aZpEUtm2coUUFWFgYiPgM+1PbFdCBLpsuApmQK3U2U06iLo1bEsq2E7r2gIkllBMvtY7Phc0B9QCHhoyZtHCMiXyn9yJYWCAcUSFE2wRO3tKIqg3y+6+QF0T+q9g+zBW9s76En1o+lFobBTDtz8/HylemBX7+or+r0g5A6Ew4X59Kvot/9vxP1vYZ29DIE+Vh0RhhbvYI1dQAyMI1xe1Pk7mOeuAKDElhGHKHzq6evr46d/+qf56Z/+aX7kR36En/u5n+P27dv87M/+LLOzs1y5coXPfOYzO37gX11drWxfDw8Ps7q6CsDi4iInT56sfN/Y2BiLi4vbvg4sAKOdeGw9KXwOk2bERqdaW/Uc9IJvK/bz588fKGurE8LDdrKOxWJcvnx515mAbra6TNPk5s2baJrGMxefJZFMo6qCSCiA31/bXhFCkMoU2ExmsSxByO8mEvJsy84SQhBPl9jYKmKYAo9T5USfG59bq9xe9e1aliCVh0SmPLsDj8WO3w16E6vrQkC2WP6TKyoVwSN4dH8InDq4dPC7waFZOHRwao8HnXv52lM/eFvvR2N7B+0U03DkL65VHIXHUj/LlclkiMVi3Llzh2KxSDgcrsyX9KKQaxXRfxJz9Dza4l1EcAAxeIo55yBDVhrt3tuYL30Qa/Q86v1vw/PfhfXq9yH6T+55u4dFLpfjpZde4gMf+ACf/vSnMQyDb3zjG02bGiqK0lOv0Z4UPof5C9pL+HSytdXqsexE9fp/O2ak2i187Cwwn8/HK6+8sudJrlsVn2w2y7Vr1xg7eRKny/tI9Cikt5IETtb6RhVLBuvxDPmCgdup0x/xbZvjEUKwlTVYSxYoGQKPS2Okz1kjeGpu04BE1iKZLbeaHFq5jRXygkPfy828vL2VzkO6oJApPK7i6KrA7YR+N3gcFm5Heeh5v2+zXjSYa+RHs7m5+UTENBwF4VNN9ZBtvQnf3NxcRfgkk8mj5fwtBMrGHCIyCroDa+IllNQm2r23MPwRDFXHmngBbeYdzK2N8mzP/W+hxJcRY+cP++h3pX6rS9d13vWud+36M0NDQywvL3PixAmWl5crERyjo6OVKi2UF1rsSq7dGnvEGFDzhXZxvM4AbWAnsdGN1lY9+7ng1weMtuOk0c6w1K2tLW7cuNFSFpiqqh2/2Nott3NPn6dQNCkWS/SFgxSLebYSj18PlhDEt3IktnK7trXSOYO1RIF8ycLlUDk54MbfQPAIIcgUBGuJEqkcKEDQA2GfsufMjmHCVh62cgrpAphW+XtduiDiA7/LwucqC6h2cRQusNV+NPUxDXNzc6iqisPhwOVyHTnR0Iij/hjqTfhWV1dZXV2tcf6225idDiU+EPk02oNvIzYXMZ9+N6gq5oX3oL/zFbT73wS85SrP7LdRl+5hnbuKUFSU5BriRPOmhYdBqVRqeTb0ox/9KJ///Of5hV/4BT7/+c/zAz/wA5Wv/8Zv/AavvfYab775JqFQiBMnTvDhD3+Y//6//++JxyuzzB8C/k5bH8gjpPCpo5HY6FZrq55WKz6dChhVVbUt22WLi4vMzc3xwgsvtOQJUe+e3E5sQbuxscHZcxfIF0q4XE6ikRC6rpFIFCuiK18osRbLUDJM/F4n/WEfWl28RLFksZLIk86ZODSFkaibkHd75pYQglTOYjVhkC0INBWifujzK7u2sooGJHOQzCpkigAKuiYIusHvtgi4YIeN+SZ/H2A8cnMumgqG+cjzx9N7VZ5mqb+wFotFZmdnSSaTvPXWW13zDuoUQoijUxVpAk3T8Pv9PPXUUzVu0tPT0+Tz+d4NxPUEMCcuoc9+EzE/iXXqRXB5scafRZv9NmHHCXC4EIOnUFfvY527ggj2oyTWDvvID8yP//iP88Ybb7CxscHY2Bivv/46v/ALv8CP/uiP8tnPfpZTp07xe7/3ewB85CMf4Stf+Qpnz57F6/Xyuc99DijPFP3dv/t3uXLlin2z/0AIEevE8fak8DnMTy/19223ts6dO1cp1XXzWJqpdOwVMNqO4ziI8LAsi9u3b1MqlZoyTKynUxUf25/H5XJx+fJl0pkcXq8bv89bM3sjBGzEMyTTeXRN5cTA9m0tyxJsbBXZ3CqiKDAYdtEXcGzb/LIFz0rcIFcUOHWF0ahO2KtgGKWGBoKmVRY7sYxCplD+d7dDMBSEoMfC02LbyhI8MjZUHg05K2U3Z1OhaDyeA7Lp81mEPJ3PjOsWTqeTYDBYcSjOZDJtWcM+LI56xaee6hmfRm7S9YG49vPVSTfpZhEDpzCzSbTVGYQ/ioiOYY08jbo8zenCJggL68Q59JX7KOsPEeFB1IW7XV9lb4VmXl9f+ELjxas//dM/3fY1RVH4zd/8zYbf//GPf5yPf/zj9v9+rpXjbIWeFD69wGG0tupp5mRmB4wqitIwYLQdHKTVlc/nuXbtGkNDQ5w6dWpfJ+hOVHwymQzXr1/n1KlTFSv2YGC7YCyZApe/n2Q6T9DvIhra7s6cyhmsxPKUTEHIqzMYceFoEDSaypksxx4LnrF+nYhfQ1UUisUi2Wy24oBrDyfHMgqJbHlex6kLhoMWYS+4mvyga1qQKShkigrZR3+qh5xB4NLBqQn8LoHTWx56dmoChw4OTbCLpdCRp3re5NSpU9vWsDvlTtxOjrPwqaeR90w8HmdtbY179+611eupaYRA2ZxH9I2BqmKdfA4lE0eb/RaGNwSeAMXx5/FO/ReMlfuI4TMItx91ZQYReTQ7WMyDq/vXmGY5bq+xnhU+h2laZ1kW3/zmN7ve2mqVZgJG28F+nZNt5+1WDRMb3X87hY99knz++ed3DN6zLEEsmSWZKVc6RgaCeNy1asMwLVbiBbayBk5d5dSgG597+1sqW7BYjhmk8xYOjRrBA5BKpbh+/TpOp5NCoYSvbwzcAxjCgaoIQt5y1cXn3PtDYXnuR2Err5AuqI+2wso/5NAEXqcg7C3/7XUIXI5yLEYr9OJwc7uoX8Nu5E5sewe1OvPQKY7bRamVra56N+l6r6fqNmbHnq90DHXhFlYmgRh/vjzbc/Yq+uSfos1+E/OZ91EKDVPSPPgW72AMn0H0jaCsPcB84f1Y48/2bLUHyuLyuC0EHK9H0wbi8TjZbJann366662tVrADRp977rmOp+a2Kjyq52batVXWjottddr7bkaO5VmeNCXDwuvSWF1awDMxVHM7iUyJ1XgBIWAg5CQadG5raxVLguV4iUTGQlNhpE8nGtBqKkarq6vMzMxw4eILbBVdxDMKhlBQrQJGahalGMeKhBGOKDj9QH3rrFwZSuRUEtlyZQcUVKVcwRkJlf/2uURbhpyPywW2WbFQ706cSqXY3NzsamjnXhw34XOQx1Pt9WQ/X7FYjBs3bmBZVk1brG3V8UAUa/gs6so0lsuHGD4DTg/mqRfQ77+Dtf4AKzBMzNmHP7eIktrACvajL01BPgPe3k49z2QybR+fOGyk8HlEdWvL5/MdyPemk1QHjF65cqUrw32tCJ9SqcSNGzfweDxcvny5LReDdrS66lfoG51YxaONrfhW7tEsTxCsEivi8X0XDYvlWJ5M3sTr0jjR58blqH2MliVYSxqsJcvVosGQxmBYrzEbtEVYPJVn4PQV7scUQBDyQH/Awud0oCinKBZP1IR4lvOQ+nD6+0kVnSSyKkWz/LN+l2A0bBF0l4VOO/JGTatcRSpZCiVTwTJ6s/rZDRRFIRgMEgwGa0I77Qqi2+2uabN0i+MmfCzLakuFofr5mpiY2BbJoOt65fnay016L8TQGaxCFnXlHpbLi4icQERPYq09QFu4jXW2jy13GFFYRV2dxRwub3EpWxuIHhc+6XRaCp9u0c1WV/3W1je+8Q1M0+yZFpd9YttPwGg7aFb4pFIpJicnOX36dMWxs5v3vxPpdJrr16/vuu1WLJmsbaYolEz8Xhf9ES+aqpLLGQghKiaEa4kCAMMRFxG/Y5uhYTJrsbRZomRC2Kdyos+Bs86DxzAMrt+8h+I9AUE/WzkYCkHEY+Fy1H6v0+lkeHiYoaFhUnlYSZgsFByIggbCxEmaIS8M9zm3CbC9EI9iKnIl9dHsT3nQuWCURU6pgaPzkM/Y4daOFu0QC/Vtlmw2W7N91C3voOMofDpx7q2PZLDdpO0PFS1v9xlFSKxA9CQoCuLkc4hiFmX+BsITALcfa/x59Ftv4Fy/j6J7EP0nUdYfwumXEICSTdLrjePjlswOPSx8ukWjrS17jbwXViXtakcsFttXwGg7aEZ4LC0t8eDBg5ZX1Zu9//2K4JWVFe7fv8/zzz/f0GVUCMFWusBmMoOiKAxF/fi9j096iqKAovFwPUcmb+Jzl6s89SGihZLFwkZ5jsftVBgfcOD3bD95x5MZphbSqP5z5fZXSGEopKIqglJp++ZU0YCNtMp6WqVgKKiKTp9P0Ocz8Oklksly6+Xa3BYej4doNNowBsCwIJ1XSRUUsoWy0MmVlBphoyoCl17+43WK8mCzJnColP/WBKKUZ7EjC6ZHn0bbR5ubm8zNzdmhi5VIjXYKFSl89ke9m3Q6nSYej1c2UG3hGg6HGwvX5CrK2n2EZcLg6fJg86mXUO/+OerDG1jnXkX4I1h9o7jj8+j+c1j9Y+hrsyjpGLi8KPl0xx/nQZHC5xix29ZWu1PRD4Kqqty7d490Or2vgNF2HcNOwqe69bafVfVm2E+ryw5mTaVSO7YEDdNiPZYmmy/hcTsY7POjV21jCSFI5wWuyCmyBZMTfS7CvtoqjyUEawmTtaSBAoxGy3M89ReikimYWcqwVXCiufsYjigMh9SKZ49l1Qq7dEFhZUslnlEQKARcFiNhkz5v2fOnzOOKgxCiUnG4fecOJUPFHRpGc0cpCjeZooo9H1QWNhYhj4XHKfA4BB6nhbOJmIqMJY7FcHOnvW/qt4+KxSLxeJylpSXu3r2L1+vdMauqVY6b8DmMx1Mdsjo+Po5pmhXTywcPHqCqauX5CgQC5ePrG0MUMmW3ZqcHwsPgdCNGn0F9eL389YEJzBNP44gtEjUSiPDZsmlhfAVrcAJcPWzI+AjZ6uoinXzh72VI2CvCp1AokE6nCYVC+w4YbQc7CR97VX1wcLCjrbdWW13FYpHr168TCoV4+eWXGx5XJldkLZZGCEF/2EfQX+u+bJgWy7ECqZyBZRQ4NzawrcqTzlssbJQolARhn8pIn2NbtIQlBCsJi6WYiSVcRP1wsl/f1v4qfy8kMmXBkymqaIpgMGgxGCh79eyGJRTyIkDeGcIIn6VoKBQBJW+CkcIp0oR9CsNRLwGfe9/P1XG6wHYTp9PJ0NAQQ0ND27KqSqXSgbyDjpvw6YWsLk3TKkIHyueUWCzG4uJixU26r6+PvshJPKU8LN0Fhwt8kfJ8T2IZZfkeIjgIvjAFd4hwPgaqjvCFUdIxzOfff6iPsVnkcPMxoBlDwl4QPvZx+nw+xsfHD/XE1kh42AGozzzzTOXk0Claeex2JMbZs2cbPr+WJdhMZNjKFHA6NIaifpx1VsepnMHSZh7LEgwEde7ffYDz7OOtLtMSLMcMNlMmTl3h9JCDoHf7xSqRsXi4YVEwQDOzPDMewOfe/n2WJVhOwmLMQdFUcOmC8T6TAb9FAzugCiUTNjMasYxKIqtiCQVNFYQ91qMhZwufS6AobnI5UY5smF0il8vte/5EiLIHUPHRqI/ziTuDHJz6rCq7urC5ucn9+/dbHro9bs7NvSB86rFn7YaHhxGpDQqFAus5i6l70xiFAs/7NRwPJzHGX8ThC2GNXUS9/Z9RlqcQEy+R9g4QzU9jpGPgC6PElg77ITWNbHUdYVoxJDxM4VMfMDo1NXXoIqxa+LQ7ALWd7DVnVCgarG6mKBkW4YCbvlCtwZllCVYTBeLpEi6HyuigB4cGM1WtnVTOZH69PLzcH9QYjtRuawHkS4KHGxbJrEAYOaKeHGfObBdhpiVYTsBiHEqmgs9lcSpqEvaIHVtOpgWbGZX1lEY8W25fuXTBUNAk6rMIeqyG21zVa76Nsqsiff34gv2g+8kb6iM35/KAc9G0h50VSqYHtH5W70HEa/LKqUJTz02v0UtVkvrqQv3QbSAQ2NWLppceSzvoZSEnhIDkGq5cirET5ypZcKnNdfT1uxRnr3G94CUS6WM0OIwnsYTIp8m4Q/ShoCRWEG4faikPlglq7zuDZ7NZKXy6RTvfyK1mbR2W8LFXwd1ud+U4u5VMvhv2MRiGweTkZM3x9QKWZTE1NUUul2s4ZySEIJHKE0tm0TS1oRlhrmiyuJGnaFj0BRwMhl2oj2aLhBDlqkzcYGPLxOVQODvowOeuW2MXgpWEYClugRAYWw85f6qPvr5a0WNXeOZj5VXxkBfGIuDRjIaRFUKUfXrWUhqb6XJlx6ULxsIm/QETn3NnoVSPaUG6oJNhANM/iOZQyRQgllMh9/hGFMrDzM5H7s1+l4VTEwirRDK+ycjIEB7H0Z/16UXqh24bedFEo9GKd5BlWcdK+PTy41EUBTFyHhZuwco9xMgFVG+I0MAQOMG/eJuXTvaziZeHmzmeFhC/8002tAj9Di/uxArW4OnyjRWy4Nm+cNFrpNPpjlf1u03PCp92sZ+srcMQPjullvdC203TNAqFAm+99RYTExOViIdeoFgscu3aNaLRKOfPn98+VGyYrMXS5AsGPo+TgT4fmlo7wLyZKq+p65rC+KAHf5X7sqIoKLqHqaUihZKgP6hxIqI3iK0QPFg3yZfApWTJxaa59PzFmoqYEILVLXi4Wd7WCnthPApBT9m6oVisfWwlE1a3NJaTGgVDRVMFAwGTwYBJ0N2c2MmXFBJZlUROJZnVSBeUSlyFqpS3t4IeixNOA6/LwuOwMAtbJOMbxOPl9a1IJEI0HCUQCFAoFJiOLTHeF23q+elVjkqVZCcvmuqIhmKxSD6fP7AXTa/Qi62uahRVQ4w+Aws3YXkKcfI5FKcHgoOI5Bra5kMGz1wuX2/mIRpbYNkKsF7SOFXa4uHyKhOAkU6iHwHhk8lkGB8fP+zDaCvHVvgcJGtL0zQMozt+JXsFjLYrGf0grK+vk06nede73tVwJfywSCaT3Lhxg6effrripWIjhCCdLbIRzyCAwT4/fq+z5sJQMiyWNvNkCiYBj86JPndNMrp4tLHljp7HsgRPDTsIeGpL06YlmN+0WN96lHFVmEcx01x++cWaIdV4RnB/vRwOGnDD08MQ9ja+SGWLCksJjbWUhiUUgm6LiWiRqL9xG6uakgmxR3M/mxmNfKl8AdGUssCZiJoEPBYBl4XbsYN48gaIRgLAaUqlUmUbKZVK4XK5KBQKFAqFI5lkftSp96LJ5XLcuHGDhYUFZmdneze5vAV6UfgIy8LceIgWHkZxulE0vVz5mb8Ji3cQ48+haA448TTMvAVLU3DqRcTgaZTNeUZdBiJ6GpauEQ2HWVNPsTS3QG5upWawvdceN/TWjI+iKKeBDwCLQAbYevQnBeSEEE35A/Ss8DnIJ5dWW1v1aJq2r2yqVjFNk5s3b+4aMHqQgNCDYlkWd+/eJZfL4fP5ekr0LCwsMD8/z6VLl7a55JqmxXo8QyZXxO3UGYz6cei1v9utbInlWB5L0HBNvVCyeLheIlsQmPk458+fQNNqX5PJrMWDdYuiAVGfxfrcNYaHBxkff65yW/mSYHYdNtPgdsAzI9Dna/z6zhQUFhIONtJqOeE9YDISMvG5dm8ppfIK6ymNzYzGVk5FUB5y7vOajPcZhD0mfvf+nJwdDgeDg4MMDg4ihKgY9NlJ5nZkQ6+etI87Ho8Hj8fDU089hdvt3pZcHolEiEbL1bqj8vz0ZDXONBD5NMbKNPqJcygOF4rD/ajtdRNWZhAj51EcLhh8CmXlHiIdg0AUfGG8uTRpRzlP0et24p74DiJQqeBtbGwwMzPTk6G4PTbjcxr425SFThBwAm5AAwYURfmsEOKTe91Izwqf/bKf1lY9mqaRz+fbfGS12OngewWMHlbFp1AocO3aNfr7+zl//jxf//rXu34MjbB9g0qlUkOxmM2X19RNU9AX8hIOuLcNMK8kCiTSJdxOldGoZ5vjcTxtsrBRFr7jAw5uX3+Apj1u75lWeXh5IyVwO2AsmOX+1CQXLlyohFtalmAhDguPzP5O9cNomIYzPFs5eLCuspF2oynl2Z2RsLHrxlS+pLCypbGS1EkXVEA8qgwZRP3mjkPOzSAEFE3Il1RyRYW8oVIyyrEVheIgWa8XLRjBNAWLRZPZJQtzXhBlihNRT9cjG/ZDT15c94n9WOq9g+qrdZUV7L6+lirg3aYXKz6Kw4k+fAZjeRpj2RY/ThS3H9F/CtYfQHIFwicgcgKxMQeb8xCIIgL9uDLTZDUNoahQylVut76CVx+K27KbdAfopXV2IcSfAc8c9HaOjfA5SGurnk63umw34WYCRg+j4mOLx+oLeS9g+wYNDQ1x6tSpbReuYslkeT2FQ9c4MeTHVaccqgeYowEng+Ha1pdpCRY2yqGiPlfZfdlZJ4q2chaza+Uqz3BYgewyD6ZrK0/JrGB6rdzW6vfD6QG2RVEAZApwf01hPaWgq4KTkRIjYXPHMFHTsmd+9MpGV8hjcn6oyFBwd6HUiIIBWzmNVL7sG5QtKuSK6jZHZxtNFaiKXl6bLyhoqoLLqeB1lxPeJ8KnyKXWaiIbotHozs63krawk4irr9bZBpdTU1MUCoWaFksvPT+9JHxss05FUVCcnrL4WZl+XPnRHRAagkwCNuYRvgiKww19Y2VX51wKEehHXZnGWUyB04NSyO14f/WhuOl0mlgsVqmwHsTvab/YcR69gKIothOrE7gEfC/wNSHEnymKcgFYF0Js7nU7vfNqPwAHbW3Vo+t6R6osduson883HTDazeFmIQRzc3Osrq723Kq6YRi88847u4ox25fH63bWVFaEEMRSJVYfDTCfGvTgc9e+9DP5cmuraAiGwzqDYW1bpWghZrGaFLgccP6EwuLcVMWxWtM0DFMwuwGrSXDpcHEU+nzbL0j5EsyuKywnQFPh9IDFWERgmcbOLbC4znJSx7AUPA6Lp/pLDIdMvM7mNqvyJYVkTiWZU9nKaSTzamX+B8Cpld2cgx6ToaDA/cjN2eMQuHWBQy+3yvL5PFNTU7zw9AuNngEIjVUiG2xvmtnZ2Yo3TTQa7YkS/nGs+OyGoij4fD58Pl9lBTuRSGxzJo5Go4c+JN1LwsdIriOMAo7oKIqiori8aENnMFdmMFdn0U6cRVFVxOBpmLsGq7OI0QsokZHHVZ/RZzBQcea3EJoDzObGKKrdpE+dOoVpmpXnbHZ2Fk3TKq3mipt0B8hkMj015iCEMBVF+SjwYeA7gBjwZ8CngPvA/7LXbfSs8Gn2SWxHa6ueTlRZqgNGL1y40PTjU1W1K/NGhmFw48YNnE5nT62qCyGYn5+nUCjwnve8Z88WSnXOFjQ5wJw0WYkbOHWFsyec29bU0b3cXChvbA2GFIb8JpOT5U0y+7mMpQXTq+UW0WikvK1V7+9jWDC3oTC/CQI42Qen+stD0XZ76fFxwXpKYz6uE89qKAgGgyZjYYOw19pzo8t4ZG64ltLZSGtki/ZjKqe49/lMQu4SIY9FwG223YhQVVUikUglV872pnnw4AHZbLbGm+aoDuH2CvsRcdURDNCGwM420kuiVNF0zNQmpfUFHP1jKKqK6vbBwDjm2gOs2BJa/xiKw4XoHy+3vDJx8PeVIyziS2CdI4sDXyEDmlb279kHmqYRjUYrH/wKhQLxeJyFhQVSqRQ+n68y2N7OVqb9fu0R7BfGB4HfAd6iPONj09Qvt2eFz160s7VVj6qqbW11ra+v7ztgtBsVn3Q6zeTkJOPj44yOjnb0vlrBNE1u3boFQCAQaPkEvNcAc8kQPFwvkc5bhH0qY1FHzQCzeOTLo/ddxLTg6RMqipHmnXcmK5tkhim4vy5Y2wKvs1zl8btrT9pClKtA02sKRUNhKCh4alDgaRC7ZlqwnNR4GHOQLaq4HRZnBoqMhA1ce7xbU3mFtZTOWkojntUQj5ycoz6TiWiJkMck6LbQD8Ezrd6bxh7CXVhYAOhYgOdO9NLF9aC047E0CuysbrHYlYVQKNSVFkuvPDd6oA9UFSO2TGlzAUf/yfI8lS+MCA5gba2jePyovnC55ZVYgY2H5ZZXcBAltojIxMmjETDyWBOX9g7EaxKXy/XYTboqBsVuZe7Xnb2eXprxgUqY/TrQD7wAXHv0tSjwTjM3ciSFT7tbW/W0q9UlhGB6eppkMrnvgNFOGxjulV5+WORyOa5du8bIyAgnT57k7bffxrKspk66piVYjRdIZHYeYE5mTOY3SghRzs6K+GtbWwVDMLtqkcoLRCHBc6cHWF9bYXZ2lpdeegmfz0csI5heKVdqTvbBySiodSe1VB7uLits5RQCbsHzYxahBkUr04KHMZ25mIOioRJwmzw/WmAwYO54nhQCUgWV5aReNeQMQbfJU/0l+v0mfV6Tg749hCgfX8FQSOd0ciLISlLDtBRMq5wxJlBAPD4rCQEn+0oNK0mKohAKhQiFQpw+XV6Zj8ViNQGedsq8XJnfm3aLuEYtlng8XrN5ZD8/Xq+3Z0RKO7FME/XRuUb3hcuGpPEVSpuLj9peCmrfCKKQwVx/iOL0lKs+0TFYmS5XfXxhhKpBOk7RUlAwsHzhjrg118egNHRnr2qLtXLNNE2zZ2bAhBD2xfB3gR8C3gtkFEX5fcotrz9p5nZ649E0YKc3UydaW/W0o8pSKBS4fv064XD4QAGjnar4WJbFvXv3yGQyTc8bdYvNzU3u3LlTUyFrVgBm8waLm3lKpqA/6GQgVDvAbFmCpUc5Wx5neYDZ7aw9CcTS5TV1IeD0gMrdyXvMTMfJZDJcvXoVRdWYXhWsJHeu8hhmeY5nPgYODS6MWJwIbf+wJwQsxBXurWjkSwoRr8lzI3kiu7Sz8iWF+bjOYsJB5tFGV9RncipaZDho4m7RUVmI8m2mCyqZQnnAOftooytbVMkXFcyaYecISzN73+5g0MCp730sDodjW4Dn5uZmTbWh2qlYUkunq1eapm3zDorH49y/f59sNlvxDmpX29IeKD4sjEKObGwNT7gfh6dc6dD9kbL4SaxSii3j6DuBoihoA6cwFu9ibi6gDT0F/ijoDyG+XG53+SKQiVO0ABUwSuDsfMWsvtVcv+HndrtrNvx2ev30YmVUURRFCPFtRVEeAA8ob3n978AfCSGaWsfuWeFTTydbW/UcVGzY4uz8+fOVk8V+6UTFxxZlfX19XLp0qekXdqffBLsNVyuKsusJ0RKC9WSRza0iDl1hYsiL11V7gskXLebWSuRLgoGgxnCfXlOhMS3B/IbFekrgdcGZIQ0Ng1wuh6qqXLp0iXQe7q6UB5RHI3Aqun1FfT0FU8sKBUNhJCI4Myi2bWoJAWtbCndXVNJ5hZDH4uJwnj5/48coBMSyKnObDlaSOgKFPp/J6Wie4aCJq0mxIwSk8uUh53hWI5lVSeY0Smb1Y7CHmwVhj4knJHDpAqduoYgSS4tzPH32KXQVNK089Gz/tGL/tyL2dX6v/uR66tSpbU7F9gk7Go0e6BzQiyf0/dLtx2J7B9mbR/VtS7uyEAwGj6RQ1RwuNKeTXGIdISyc3nIlXA/0gWVibG1gOlzowSiKw4UaOYEVW0Rkt1B9IUR4uNzuKuZQPEGU1AaCR78HcTiebPUbfrlcruLJlc/ndzW+bOX19Wu/9mv8i3/xL1AUheeff57Pfe5zLC8v89prr7G5uckrr7zC7/zO7+B0OikUCnzsYx/jnXfeIRqN8ru/+7tMTEzseR9CCKEoipuy4MkA36JsaNj0L7enhY99set0a2un+22V6gDPdomzdld89ivKbAHWqf6+aZrcuHEDXdcbPse7CcB80WRxM0+hZBH2ORiKuGoGi8uxFCZLMQNNoWGaerYgmFktDzAPhxVG+1SymQzfvH4dh8PB2bNnmY+V4yZcOjw/BqE65+WiAVMrCmtbCn6X4Lkd2lqpHNxaUtlMq/hcgkunTIaCFqWSxWMJ8ej3YsFiQufBhoNUQUNXBRP9JU71lfY0NgSwLIhnNTbS5T+xtIZhPY6sCHktxiIlAm6LgNvC5ypvcu30FisUiiSWkkT93TmB1/uc7LSSHYlEurbe22scpohr1LaMx+OsrKwwNTW1L6F62IJUUVW8fUNk4+vkk5sIIXD5yrYjWrAfq1TASK6huryoLg9qsB8rtYEZX0LxBiHQDxsPIbUB7vIaeMXNYp+Dze1EURS8Xi9er7eygWnnwc3PzyOEYGlpCV3X+a7v+q6mb3dxcZFf//Vf59atW3g8Hn70R3+UL37xi3zlK1/hZ37mZ3jttdf463/9r/PZz36WT33qU3z2s58lEokwPT3NF7/4RX7+53+e3/3d393r2DUhhAl8Evgp4DrleZ+/B3xJUZS/J4TI7nWsPS18oDutrXr288ZrFDDaDtpV8RFC8PDhQ5aXl/clyjopfLLZLNeuXdvVzLHR70EIwcZWkfVkEV1VODngIeCpfUkbpmB+vcRWziLgUTk54MCxbaurHDuha3D+hErQq7K2Vvajef7557l+c4rJedjKw0AAzgxSsxkGsLZVnuUxTHhqwGK8n20GgiUDplZVHm4o6BpcHDUZj5YrJvU6u2TC3KaDB5sOCoZK0G3ywmiekbCBtsdLK1NQWE7orG7pbKa1Spsq4DY52Vci4jOJeC387v2bHB4W9Sfs6vVeXdcrsyd7rczLik9n2Kmy0O6B205QzOdxuFxlzx5FxRsZJJdYp7AVKxvH+MqD946+ExRX8hQ3F3ENn0ZRNbTICcy1B4h0DDUQRXhCkNqEYPma5VQfnbsOuY3XCFVVa8SrYRgkk0n+j//j/+CXfumXyGQy/Nqv/Rof+tCHuHjx4q6vNcMoV8gdDgfZbJYTJ07wZ3/2Z/yrf/WvAPiJn/gJ/v7f//t86lOf4ktf+hJ//+//fQB++Id/mE9/+tN7vpYfiR6Avw58lxBi/dH//5yiKNeB/5XySvuu9NYrr4779++3tXrSKXYKGG0H7aj4GIbBzZs30TSNK1eu7Eu8dGrIemNjg7t37/Lcc88RCoV2/L76Kly+aLIUy5MvWgS9OsMR9zYxspUtDzCbJoz06fQHaweYS6Zgds0imRWEvAqnB1V0FWZmZojH41y+fJlkwYEIv0CmIHh6WGEwWHsfJbNc5VlNloeXnzkl8NfZHwkBi3GFO0sqRRPGo4Knh62Gg78FQ+H+uoOHMQeGpTDgNzgzUKDPt/OQM5TFzmLcwWJCJ5EtP78Bt8lEf4mo36Tf33w7bDd65QILjVeyNzc3a1bmo9Hokc6tOso0qizUD9zaz1+1D81hzPiYhkEqGUfTHQTDEVStfK7whAfIxdfIb8VAUXF6/SiqhiM6SnHtQXneJzqK4g2huLyYiVUUfx/4w7A+V3ksJUXDfPrd4O6Z7agd0XWdD3zgA3zgAx8gFovxYz/2Y/j9fl5//XXu3LnDpUuX+KEf+iE++tGP1vzc6OgoP/uzP8v4+Dgej4cPfehDvPLKKzUGmWNjYywuLgLlCtHJkycr9xkKhdjc3Ny1E6EoylOUs7lmgBcURfkm5RZXEdh89G97P8bWfiXdxd4q6OU+sZ0Z1ShgtB0cVHA0G42xF+1uudkzW5ubm1y+fHnP7R3791Bd5dFUhbF+N0Fv7UXNsgTLcYONLRO3Q+GpIQceV91WV7bswGxYMN6vMhhUME2Tb397Eo/Hw4svvcyDDYXVLcDK8cKEb5u/TzwDtxYVikbZhPBUgypPOg83FlRiGZWIV3B1zCTYQMMXDbi74uRBzIlpwUjI4KmBss/OThRKCg9jOgtxR0XshL0mz44UGI001wprhCXKQipTUMmXyrNKhUd/5wpO4oXnWbjmpWgoCKEgKIs7ATWbXaoCqirQFFBV6PebvPts56JgXC5XxfXWLt9vbm5WcqvslksvbS8+SdQP3BaLxcpsULUPzWEIH03XCYQipJIJkvFNgpE+NE0vi5/IINnYKvnkBqquozvdqC4PemgQI7mGlU+jeQKoocFy1SeXQnE/eo0Vs6AoKCjg3fmDXa+STqeJRqN88pOf5JOf/CSmafLNb36T1dXVbd8bj8f50pe+xOzsLOFwmB/5kR/hj/7oj9p9SJ8EHMAK5erOH1PO7fo+4DbHQfgMDg4eWkAn7F5CrvaY2SlgtB0cRHCsrq5W2jV7RWPshaIobXsuDMNgcnISt9vNK6+80pSwVVWVgiG4v5KlULKrPC70ur5PrmAxt16iUBL0BzVORPSa4WNLCBZjFiuJcs7W0yc0vC6l0m47deoUoegJri+UIyfG+mBl5g4u/eWq2yhHTTzcBI8TXjkttokZy4KZdYWZVRVVhefGTE72bU9DN0yYXlO5t6JhPBI854aK+HcQLZaAtS2NBxuPh5zDXpNnR/OMho2WxI5plQedtyqOzuU/qby6LbJCQeDUBS7dQkEQ9lo4H7k5Vwaasf9bIFCwRPn3YAkwLYXALiKu3VSX76F8ka02exNCIIQgEAjsy2ZCcnCcTuc2H5qNjQ0KhQJvv/121+MZnG43QbWPVCLGVmyTYCSKppfFjzcyQGZjmVx8DV//CKqmowX6MDMJjMQ6qtuP4gmCqmJl4mjRRx8yCxlQ1HZZ93Sd+mR2u2vQiD/5kz/h9OnTDAwMAPCDP/iD/Pmf/zmJRALDMNB1nYWFhYpX3OjoKPPz84yNjVXaa01EJNmGhQ7KoicIuIB//ui/m3L77Wnhc5jsNtPSripKK8fRCkII7t27RyqV2rd/UD2aprXlk1gmk+HatWtMTEwwMjKy9w9QruDgCrORUcuZVv1uAt7tmwdrSZPVuIGmNR5gzpfKA8zZAgwEFU5GVTRVqbTbnn32OXIE+fZD0FV4bgzCXoW1+4/L79kC3FxUSOUVRsKCc8Ni28zNVg6uPdRI5RVOhC0ujli46jotQsDDTZWbixoFQ+FEyOTMQJ6Qp/HvuGjA/XUnsxsO8iUVp25xZrDEqWiJYJOComiU3aDXtsomh4lMOcn90RHhcwlCHosT4RJBTzkV3uOwHm10lUVNsVjk1q1bvHTupabus1dwOp01K/O3b9+uzOVZllVj0NfLFeZG9FL7cb/Y23wul4t4PM4LL7xQmd+6f/9+S/NbzSKEIJ3J4XI6cDrLb1CH00kwEmUrESMZK1d+dIcDRdXw9A2R2VgiF1/HGx1GURT00AClzUXMbBLdF0bxhhGZBERPgsMNhfKcbb2/11Ehm8023ckYHx/n61//OtlsFo/Hw5/+6Z9y+fJlvvu7v5vf//3f57XXXuPzn/88P/ADPwDARz/6UT7/+c/z7ne/m9///d/n/e9//57PqxDi/7T/W1GUMOU2lwDygCmavEj1tPA5zDe0XWmpFz6tBIy2g1Z/B8VikWvXrhGJRHj55Zfb9jtsR0q8PTDcyu8uVzBZ2MiBI4BbNzk1HNgWBVEolXO2sgVB6JEDc/28z0bKYm697I1zZkilz6/WWCS8dOkyDxNONtMQ8cK5YXDqSuWxW5ZgOVFeU1cUeH7MYqDuIVhWuXozs6rg1OGVCZOh0Pb3YSyjcP2hRjyrEvFZvOuMQcRnkcuVqH9L5ooK02tOHmyUZ36GggYvniwwHDT2NCY0zHKo6eqWztqWRuJRsKmqCKJ+k2dGioQ8FkGPRcBjoTd5vT9sn5WDoigKDoeD/v5+IpEIhmEQj8drVubti2wvzxYeR4QQqKq6LZ6hPrW8OvJkvx/shBDkC0Uy2TyhoA+Pu9xu1x0OQpEoW/FNtuKbhPr60XQdTXfgCUXJJTYopBO4AxFUTwDF6cZIrqN5g6j+CGY6hsgmUZzecqtLWKD09KV2R9LpdNPC59VXX+WHf/iHefnll9F1nUuXLvHX/tpf4/u+7/t47bXX+KVf+iUuXbrEJz7xCQA+8YlP8Ff/6l/l7Nmz9PX18cUvfrGp+1EURQfeD7xG2bk5A/goz/h8uJnbOJrPRheobzHtJ2C02yQSCW7evFmJU2gnB5k1qnawvnz5cksnKl1T0DUFK7tOwOPftqa+sVXO2VIUGB9wEPHXClXDFMxtWMTS5aHjpwY1XI7yPI898P30s5e5tVKe1ZnoL/vz1AhGRePuqs5GWiXsFVwcLbfJqknl4dqcxlZeYTRi8czI9uHlkgk3FzVm11VcOrwyYXCyr/yBZWZmhsXFRRwOB5FIBF9wkKVsP/MxB0LAWMTg3HBx15kfKBsRLsR1luI6q8nyRpemCKIBk+dGiwwGTaJ+c8/NsJ04DtWFenRdZ2BggIGBgcom0ubmJlNTUxSLxZqU+V5cmT/qQrQay7IavsbqU8vt+a2DVOxUVSUaCZJIpkluZTBNC5/XXTYm1HWCfVGSm5tsJWKE+vpRVRWHx49RyFNMJ3G4vWgOF3pokNL6Q8zMFpovBIqKyGfKye05A0UILI5WFdGm1WT2119/nddff73ma0899RRvvfXWtu91u93863/9r/dzWH3A/wB8BngJ+Gngb1M2M2wKKXx2oFr42AGjg4ODLQWMdgs7yHNpaYlLly7tGeS5H/YrfEqlEtevXycQCOzLwdqhq0wMeZlJmzX3XyhZzG+UyORFeU2934FDr4+LENxfNSkaMBJRGYkoKIpSFYcxiuIb48YiuB3wwkkIeOpuIwdp17NYaY3TAxYT/bXuy0LAgw2Fu8squrZzlWcprnBtXidfgjODFs+MmDi0x+GwLpeLV199lWxBcGNe4fp8AIQgpK1yuj/LyGBwxwFwwyzHXTzYcLC+pSFQ8LnKrbCRiMFAYP9Cp/pxFg1I51QyZoDFmEbJBMMqr/CXTAXDVBCi/PvR1LIXkFY14Kyp4NAFTq08L+TQwakLdLVt8UUt0ei1WL2JdPLkSUzTrKTM379//4mIazhMmklmVxSFYDBIMBisrF/XV+x2cyU2LQvt0X2oqkokHGArlSGdyWGaFsFA+XnVNJ1AOMJWfJNUIk4w0oeiKLiDEYxCllxyE1/0BKrLi6I7sbJJdH8YxelGlHKgOwBBdvgiyeUV2rvv2x3qZ3x6hADlIeavAH9XCHFHUZR/AHwB+EfN3EBPC59eaHUdJGC0G9iVC0VR9r2q3gz7ET6pVIrJyckDr/krioKqqpWBVLvKA41ztoQQLMUFS3ELlw4XRjUCjyIlKr5Q559lNR8iuQn9AThb581TjpKA6VUFFJWLwzmG+2r31PMluPawbEQ4GLR4fmz7LE++BN9+qLOcUAl5LN51xiTiKwujXC7Ht7/9bU6ePMnA0Ci3FhRm1p1YFkz0lzg/VMAqCTY3s9y6tYBpmpX4hkAgSCKnc3/dwdyjNljAbXFxtMjJPoOQZ+8E93pKBiSyKslsecA5lVdI58vO0rlSeYOrzEtM39jhuXo02NwK338pSzTQ3SWGZqskmqbVrMzbLZf79++Ty+UIBoOVlfle86U5ijQjfOqprtjBY5PLaldi+zlCUVndzODzOAn5nY88exSCAR+qqpLJ5hFCEAqW54gcTif+YIj0VpJMagt/MISiargCfeSTGxj5DA6PH9UbxNzaQJglcHoQmQRCc6AIgeHwYKm91yFohmw224vCR6Xs1eMBHiiK8lFggOPi3HyYqKrK3NwchUKhqXXrw8DeRBobG6v4IXSKVoWPPQv1wgsvtOWNoyjlZPPp5SLZQrnKM9bvqMzh2OSLgvtrJpkCRP0KpwbUSnvs4cOHLC0tcebiFe7HHFgWnB2CoWCtyC6ZcGdJYT2lEPULzNhtAq6nau5nNalwfV7FEo03tsrePSrffqhhWvDsqMHZoceGgbYAe+aZi8RKUf7wmk7BKLe0njlRwO9+dGF21cY3bGwmuPHQZC2nUsSHqliMhQucO2HR79/d66eaQgk2UhobKZX1lEY8oz7K/Xr0+0bgdQn8bsGJiInXWY6x0FWDlcVZnnn6KXQNdK0cx6Frjys3QtibXOW5J1MoWFa5OlQyoWgolAyFogklQ8HnPpzNzf18sKpuuViWVYlrqPaliUaj+P1+WQ3aB+0wY6z3Dqp+jhRFpX/4JCkBRcOkP+RBVcviJ+D3oioKqUwOsSUIB8vPocvjxTAM8tkMDocDl8eLw+OjmEmSTyXQ3T60R8LHzKbKYaWWCcIERW04K3pUSKfTXTMOboFF4J9Snu35J8CvPfra32j2BqTwaUCxWGR9fZ1wOMzly5cP/QRmr5JXfxKyy7p7Gf+1i2aFjxCCqamptoafWkJQVALkSz40VTA+4CDsU7dVeda3yg7M1QPMUP4UeevWLUxLMHD6KtPrCl4nXBgDr6v2uU1my1tbhRKcHbI42QeTCVGpEJgW3F5SebipEnQLXjplbjMsLDyq8iwlVCJei1dOGwSqvmdhYYGFhQXGn77K2wteElmV/oDFd4zmCHsb/45zRYV7q16m10IUDZWw1+R8KInHWiIZX2fursnWo2pQo4ykbFFhMaaxktRYS2qk8va/l1fTh0ImYW+JkNci7LUIuBvHVpRKJTIrMQZDEzs+X4pCpbVl30ft34dPO+ZiVFUlHA4TDod56qmnKr408/PzpFIp/H5/pS0mV+abYz8Vn92of45KpRKxWIytTBwhwjxcjuFQikT7Irjdbnw+DygKqXSWrVS20vby+gMYpSKZ1BYOlwtV1XAFIuTia5Wqj6I7sfJpdO+jrQfTAFVr+2PqJr3Y6noUSWHXnP8CeFVRlAnKA8+TzdxGTwufwxAc9ifxSCTC4ODgoYseeCw67HaPPSjcrlX1Vo5hN4rFYiWRvpXw091I50wWNg0Kwo9TyXNuLLRtY6tolB2Yt3KCoKfswGxXggqFAt/+9rfpGxwlrY6ynIQTYTjdXxsuKgTMx2Dm/8/efwdHkqbnvejvy8xyKFQVvPceaKB993izhpw1tCuKWlFHJBVX0hF1FcGIq4grSowrMUIRFBmHQYlBSqHDI4mkpEOzZ0Vyl8vl7nJnd2fH9rSFaTS890AVCihfab77x4eC6Sp0o3u6p3u480ZUoBuoysrKSvPk+z5mXeBxwfkWuZ+zlXONjqfh5rySqbdWOnTVOHncmbUdwY05A9PO7/LkCPKJtINT9gLvTBsUuSXPd5rUl9pYVv72jaUFo8se5sMGjoT6UovumjSVARshNKABWhr2eQ4HGUk+PIFaErKKlR0PWzF1x+kxJFUhm84ak8qAQ3nALuggfVw9DcfD01p3+9LE4/E8Au5xwPRh62mKq3gU9ThAgiMlO0mbkiIdl8ulbA2AVMYkHBXY0mBqepZUMr4fqVHk85FMZTB0Db9f8YT8wRA74S0SsV0CoVIMjw9NN8gkdtW4y1OEndxFFitKhHRshKYoEx8Dn0dTQp30ciUBQ0ppAi8Afwv4bydZzlMNfD7MOpwMfv78edbX1x+pU/EHqRzfyHEchoaGCIVCD0UU/iB1P+Czu7vL8PDwI8tUM23JasRkO+7gNgQBfQddpjH0kv3nSCkJxyULWw5SHjgw57bLzs4OwyMj1LScYSPpR9Ogt06NwI68lwWjK4JwXFAZkPTU3Z2mLljdcTG7raMLuNhqUxU82jGwHRhZ0pnZ1Al6HV7oso948pimya1bg1i+NlatGuxtONVg0VNnY2h7zseHLmKJjGBk2cPcpoGmQVulSXdtloC3cKdChXlWgqeaHcNgbEsnGVUfwqft0hxI0FotaKwuQv+gTOe/AfW4AYMQgkAgQCAQoKWlJQ+Y+ny+/bGY1+u9/wJ/QOpxAJ9E2iEcs0lmHKpDB1YXPo+L6nKNze0UJRUNtAY9ZFJxIpEI29uzVFQqAJs1s5SEghiGC5+/mFQiTtabwe3x4PYHSe9GsM2MAj6J6EECu22BbjzWcOfHXU8bx0fKvHj7nGGhB9g56XI+Bj4UDhh91BENH6Q0TSMajTI1NfWhhrXevQ6mWdgUc2Vlhfn5ec6ePfuBYztySepr2xaOA1UhneoSg7U1m0zmYJ/PWpL5TYdoUsnUW6t0vK6DC9ny8jLziyuEGp9hLaFTUgRdh7x5chVNwu0lxTfpqnH2pOwHf7dsiMgmEuFiyvwOZ5udPCn7TkpwdUaNj9qrbE7VH1VRxeNxrg9NkfRdZDfuoSrocLHVIlDArDBjwu1lD1Mb6k26akx6arP43MePZmIpwdS6i5kNg1haQ9ckdaU2Z8vSNJTZuHWH7e004XCY60u7+Hy+fY+Ue3HXpFTrE0trxFJi72GwFuti85YHy1acHdMGyxZYe1ZiOddnKQEBupAYulJwuV3sOUArU0SPIfF5JEVuic+teEU+t3r+36S6WzKfI+COjY1hmuZDuxQfJ//+qNbjAKQBn44ENncsFsNZaktceN3qAHUZOtXlRWxup4jsZqgsCR4hsm/vxElnTG7evIXH46a8vAy3rpGI7eByV2L4/LAbwUwlcHuV55M0s+qNg5Xg8ePsJD7SHZ/HEcX0MCWEOAO8iOLz7KKiKpLAONC49+8T1VMNfD6MA/q4gFFd18lkMo/9/U9SmUyGqampxyZVP0kV6vjkRjeZTIZLly59YFVLPO2wHDZJZyXFXo36cmP/BHVE1RVTXB5HQmO5RnXooMuzP06yPGgVF9jNCForoa6EuzhBML8Fs5sCrwsutOTHTuym1GgrIUtpCCYYaPEUkLJrDC3quHR4vtOk+q5O0MbGJjem0sT0yxg2XG43aanIV1w5EibWXNxe9mLa0Fpp0l+fpeiYCApFntYZXXaxsm0AktoSm9NNWZorrLvGV/kX3XA4zOjoKJZlUVJSiqe4mpQTIpIwiCaUmiuWEpj20RU1NIlGCJnS9onNCqhIDE0RvHOf7TDR2bKVT1LWEuwktP1/3738XLkNSbHX4VMDGcqKHz036EmOiIQQ+P1+/H7/vmT+sEux2+3e7wYVkmMfro9HXYXLduQRz6+gT8djCFajJksRk6qgse/srmsaVaVFbGwn2YqmqCwtwuPW8Xq9VLnchLd3aGpuw+0SRCIRoskkleWlLMzPEQiG8Lg9WJkUHr/i9khbKU6FN4DwFWNHdj/SwOcp6vh0Av8QRWoOoVRdXkAHqjmhlB2ecuDzuCsXMFpIefQ0dHxs2+bOnTtks1kGBgaeGOgBtT2O+OhkMgwODlJRUfGBvY2ylhprRRMOLh2aq1yEio6Sl4UQmI7GxKri8hR7obVSx+s+eE42m+XW4DB6SQdpPYjfpbo8/rsIzBlLhYtuJwRVQUlP7dEOg5SwFBHcXtZw6VBjzNIQKkaIg+5I1oKb84rAXB10uNBiHZGySym5M7XCRLiCjNZAfYnNxVYLbwFK1uq24P0ZFztJjeqgxbnmzLEkZ8uBmXWD0WUVTFrkdjjbnKGz2sJ/zBjscAkhMNx+pC+IFWhnPSoYXtQwbbUBBA7FHpOSYoe6MiWRD/ikengdDM3m1q1bXLhw4b7vdZKyHUhnBcmsIJVRP5NZQTIjiKcEnh+AM9TdLsWpVIpIJML09DSpVGqfd1JIMv8x8CmwDCmZ31QqxOoSsQ+APC6NxnI361GTjV2LrC0p37PC0DRBZYmPje0km9EkVaVFuF06uq4RDPiJ7sTxen20tLQgpWR7awO/z8fW1ha6k6UyVMzyyjLlgLRNBCD2OneO43xkye05l+wnXUIIIaX8MvDlR7G8H4DTSn7lAkallMcGjD5p4JNMJhkaGqKurm7fa+JJlhBif3vkHKK7u7upqKj4wMteiZjsJh2qSnSqQkZeJIWUkpjpY5dStLSkuUKjMnh0m8RiMQbvzGGUnSHr6DSUQlP5UQIzwFYM7qwIbAd6ah1qS/JHWyNLGitRjfJih7NNDnMzKRznAHRGEoKrMwapLPQ3WHRUHe3g2LbDW4MbrGdbcOmC51pNGsvzuzypLFybMZjd1Cn2Sl7sTFFXYuatMyge0p0VF6PLKqurzG/zUnealkrrvuaEtgPrUY3liM5SRGdzR2V0CSRlxQ7tNQ7VIYvKoI1bxNmOhAmHw1i7FkV6KSXBckL+0F5syb3f60FL18DvlScCbT8o5fP5qK+vp76+Hsdx2NnZOVYy/zHwyS8BBHzqWE9mJfVl4Nu7QdI1QW2pi81di2jCxrQkNSXGnmGhRmVpERsR1fmpLlN8OK/HjcfjIp5I4fW6MXQdX5GfZDxGW2srSJtkeA2XpmFbksROlJAOW5EoJeXGx+TmR1BSSrlHbNY56tcj9x6cNKcLfgCBz+GA0fr6+mNPGk8S+ORME0+dOkVJSQljY2NPvPuUG3XlumSPcuxWV+qirlTiduWfHOJpydymTSpbhCET9DUG8biOfmcrq2vMbDhQ0o+hQ189BO9yYHYcmN4QLEYEfo/kVL3Mk6Hvj7Yy0FVj016VG92IvTEbTG9ojCzr+Fzwco9Fmf/osbYTz/LGSJYUzdSEbC63m/juutmTEqbXNa7NGlg2nG60GGiysS2Luw9d5SnkYmTJTcYU1JdanGrIUFtyb88e24HFsM70msHClk7WEgghqQo6nGs1qS+zqQw5d5G4AfwEiv00NTVhWRbRaHTfOsHn81FaWvrQ0SVPU31UAIOmaZSWlu6bp2azWcLhMAsLC/s5SqZpks1mP7JdhcP1KL4XIQSVQXWcL2+r7k91CZQUsX8TWRk0cBk24ZjN6rZJTakLTQgMXaNir/OzFU1RVabk7MFiP1vZKLuxJKWhYjy+IpLxOOlkAn8wBAhCAT8insHlciMzcWLJJAvLQ6TTaUpKSvB4PAQCgY8UCEomk0900nC49ojNj+Tk81QDn0d9YnqQgNEnAXykVJlN29vbR6Tqd4+ZnkQJoVLMTdM8tkv2sOV2CbjL7deyJcsRh41dxSOp9ieJb6/gcR14FkkpuT25xI5TAT4vdSXQXEFexyixl6geTwsaSiXt1UcT1ZWUXTC6N9p6pt2h/BCvRAhF4r0yoxyYa0JqtHW3DHx6OcWNhSLQijnfbNJRnd/liafhnQkXazvK7fnZDouSPfB0eG+zHQV4hhdVh6e+1OJsc5bK4PH7gZSwsaMxuWYwvWaQNgVel6S1yqK50qau1M5zlr5XKaVYBRUVFfvcoK2tLVKpFFevXiUQKqcoUIHLEwQ0deslOfi5929dyz3Uds8RnT0uKNDc+rjuUW63m9raWmpra5UQIBxmamqKkZERpJSHnL0/WhfYXDmO81BcwXBc/SzzH3RwizyCtipYjkjWopJUFmpC7BsWlvoNdCHY2LVYi1rU7nV+3C6dsqCX8E6anXiWkoAHXdco9hcRiyfJmpZKdPd6yWYz+AFN13FsCw2JkBJheGhrbAdgbGwMt9vNysoKsVhsX9H3UQjBfdjv43GUEKJoz8On0N/E36iOT+5u+4PUwwSMftjAJ5dpVVxczIULF46ctB5FMvoHqXQ6zdjYGIZhMDAw8FjvlHPk5aWwg+VAVUjQUKaxu2MTP7QfpNImt6ai2O4GvB7orIZQ0d0jMljei53QNRhodKi8a1xt2jCyqLG6o1FR7HCmqUDshONjcq2arC0KjrYcB94bS7G4W0LAZ/NCl0mo6Og+KyVMrqkujwCe7TDprMkHRop0rXN91kMsrVFbYnGuOU1V6HjAk8rC2LKLsWWD3ZRSdbVU2nTWWjSUP1xOl2lDJKYRiQt2kiq2IpnxksyUsZNoxU56sDY+4J05Ep8HijwSv0cpuoo8kmKPJFAk91Lj5QOBtZPWR6Xjc686TJIeGBjANE22t7f3L7BFRUX7Y7Gn0Xm+UD3MqEtK2E0JdtOCnZSksezAjkLXBI3lauy1FZOkTUlD2YG6M1i0p/jatVjfsagOKfBT5HWRztrEklm8bh2vx6DI5yGRTJFMpvG4XbjcbrLpFI6t/Hqk44BjI9w+NM/RLklFRQXBYPCIom9iYoJMJnNE0fe0gAx4Ko+R/7cQIgr815ys/RDg+XEhxDUp5dJJFvT0bOXHVOl0msHBwQcOGP0wgU/OA6ejo4Pq6uqC6/KkOj45Q8eWlha2trYe64EQT0sWtlTcRLEXmiv0fWflw6qy5c0Us1sauMup3+Py3N3lyVqKyxOOC8r8kt66/AtoNAm35nVSWeiusWmryo+dmNvSmI634NIdXuq2jnSCABJpyXdHbBJWCS0VJhdanTwpdjID70y6WNnWqC1xeK7TzBuzAWzFNN6fdrOxa1BSZPND/Snqy47fBzd2NG4vGkyvG9iOoLbU5lxrhrbq/G7UcSUlRBOCrZhGeFcjHFP/3kke7sIpYOLzgM/tEHTv0FBbti8997okppkmHouxG9vBtiyCgQChUJDiYj+O1LAdsB3FrbL2YivSWUEiI0hmIJkRhGMayYzYl8PnyuOSBH2SUJFDabGk1L/3s9h5IPPFv4l1+OLkcrmoqqqiqqoKKSWJRIJIJLKv3sslmJeUlDy13aCHAT5CQEuF8vRa2RFMrAkayw5Ummq0BT636v7MbUqaKti3vwgV6Th7NhqasKgMKvBTEvCQyVpEYmlq3H40IfB5PSSSaSzbxuVSHXkzm0VoGo5tgZRoXj968ID7ePgz3a3ocxxnX9E3Nzf31MWePGXg5+8CJUCpEOL3pZQbqJOUBP4p8P8DPgY+W1tbjI+PP1TA6IcFfJaXl1lYWLinB86T6PgcTny/cOECjuOwsbHxWN4ra6kOTziu1FWtVRrlxUfJy5qmYTkat2bTxE0vXo9NT52g2Jt/UG7swviqush21jg03OXNI6WSsY+vaXgMeKbDpuyuTW/ZcHNBkYEDrjidZRHKi48GrS6FJe9O6oCLZ9uzNFfmdyYXtjTemTRwHHim3aSrNr/LkzHh6rTO6JILr0vyXGeazhqr4BhISpjd0Lk1p5LYXbqkp97iVINJ6Qll3/G0YHFLY2FLZ3FLJ5lRbySQlPglFUGHnnqH8oCkPOAQLDoYDTqOw40b41zsu3jXUt1AOVCObdtsb28TDi+xvL6D1+ulvLycmhOY9UmpOli7KY3dpPIO2k0KdlMaWzGN6fXDYang96j1fLbLpKb0o889etA67sIkhKC4WOW8NTU17X8nW1tbTE1N4fF4jqTMPy110gvtblrg3fOCAnV8VwSg2CuZDwtmtzQqiiW1JXL/OCr2CloqYSGseD9NFQek51K/Oka3EzaGblNWbKAJQWnQy+Z2it1ElpJiD0U+L4lkmmQyQ6DYh9A0LDOLJjTV8QGEcfQO617k5hzQyXkHFYo9yf39w+7aPYpYl0dcq8AvA/8voEsI8RtSyrG9v+koX58T1VMPfB5m1JWLdYhGow8dMPq4gY/jONy5cwfLsu7rgaPr+rHmgY+jcqq3w4nv6XT6kXedbEfN3teiDhKoLRHUlmoFVV3hpEHc3QlZjYZSm6ZKHe2uE6Rpw8SaYH1HEPBK+uol/ru++owFQwsamzGN6pBKVL+7a7CbElyZMYinoa/Owp1ewRAHJzNHwq1Zh8l1L0Vuk1f77DwzQtOGqzMGU2s65cUOL/VYBH3546/pdY13J3TSWeitNznblMkjb+eeu7Clc23axVZMJ1Tk8EJPhq7a+3d3HAeWIxqz6zoLWzqRuDoJ+9ySxgqbxnJFdC4rfjTGgbquH+EGpVIpwuHwEbO+8vLygp0HIaDIA0Ueh5qS/GXbDuwkBNsJNYbbjmuEY9oDJ9E/ZXeyD10n/RyHvxM4kMznEsxDodD+d/Ikxy0n6fhICTObOraE5jKbcv9Bp9brgs5qyWoUtuKCRAaaK+S+LYLHJWiugIUtycKWpLH8IK+vrFjHtCWRuI3PreFza3jdBkVeg3giS8DnQtc1PG4X6YwCPoZhYFkWHg1yWXRCP0oyfxDn5kKxJ4W6dqFQ6LG7QWez2afNVbwEuC6l/CshxH8CfkcI8W+llG+gnJsTJ13QUw98HrRyeVGhUOgDBYzmDPMeR6VSKQYHB6mtraWpqem+65gDHh9G5datrq6OxsbG/XV70HT2e1WOx7MccTBtKPULGsu1ghf8REYytS6Jpb1IM8r5zhB+b/4BvxWDsVWBaUFrpUNzRT5xdismGFzQ9nK0bJrKZd4FcyGsEtUNDV7stKgMSubnD8B32oQ370Ak6aO+JMWzXVoeWNhOCN64Y7CbUpygM835PJtEBr4/arAY1qgMOnz2rE3Qm81TdQGsRDSuTLnZ2NEJ+BxePZVRHaF7XB9sB5bCGlOrBtPrOumsUI7OZQ69DVmaKmwqgvmf/1GXEGI/LTtn1ne485DrBp2U6KlrUBaQlAVs2h/vqn8k6mEBXCHJfDgcZm5uDl3X98ctfr//QwWIJwE+QkB3jcXsls7MlkEk4dBSfpA5pwmoL5UUeyWLYcHkuqDp0OjLbQiaK/fAT1jStAd+cmqvtJllfceksdyNrglCfg/JtMVuIktp0IvX6yaza2JaNrpuYJop0HVyB68wjgKfh5WzH449aW5u3je63NraYnp6GpfLtd8NehzfU041+BRVgAPp+j8VQvwM8H8JIf6/QBEQP+mC/kYBnxwfpauri8rKyie9OgXrYcZvjxJ03Ktyd+WF1u1RrIOUkmhSjbXSpuLxtFfrBHz5B6zlSBbCsLItwbEode2QNhfxe88feZ5pwcS66vL4PZLTjfkOzI4DE2saM5sCvwcutdl5z7EcGFrQmQ/rVBQ7XGqz9qMpcl3HrZjgzTGBaWucbUzSXX8U8eQIzO9PG3hc8MMDJjUl+Uhmak3j7TEdy4HnuixONaog02z26PN2k4L3Jt3Mbhj4PQ4v9Wborru3b080IRiaNxhfNkhlBS5d0lpt01Fj01xlF5CvP1g5DqQtg40dxc3JmjlHZjAtBTyzFliOQBNKyWXoe6ouHQxNx9Cr8BRVURWSSCfNTnyb5bVppJ2irPT4btCjrB+0js+96m7JfCaT2eecJBIJgsHg/gX2JMKQD1KFgI+UkDIFRYdiW3wu6K2xWd+VLEY1hlcMmstsKg6Ne0M+8NZI5rYEs1tK0Vm+Z0nj0lXnZ35LshiWNFeA163MDqtDLpYjJpu7iuxsGBp+n4t4yiTod+Nxq22QzZpoe4DHcRy1orqxb1x4+DM9iu7M3UaX6XT6sX5PTyHwGUZFVSCE0KWUfyiEeAdlatgPpE66oL8RwOfugNGnUSIopWRmZoZwOPzA47fHPXaTUjI3N8fGxgYXLlwo2N58FMBnfUdFTXhd0FGjUVKUb8yoAAbMbkLWlpBap7fJT3FRkOFt59DzYDOmuDyWrciNLZUyr8sTzygC825K0Fju0FeXn6geS8P7M6pD011j01Nn37UcwUosyNyyC5fI8Mk+i4rg0ROZacG7UwZzmzq1JQ4vduf792RMeHNMZ2Zdpyro8Oopi5IC55WsBTdnXQzNu9AEXGrPcrrZPHYMJSXMb2oMzbmY29TRhAI7PfU2zZX2A4+vHAnRuGBzVxCNC6KJg0csCZJneHel8GsFEpehJOuOBNtWoFLK4y7ObiAINAPgXbfxGhlcxPF7LCpKXNSUe6kpdxEq4p5drh/EehwAzuPxHJHMx2IxwuEwS0uKN5q7uAaDwUf+3oU+z9quzsymQX2JTWPZAfAXAmpCDqEiZ7/7s5NyaC5Xwb8AHgM6qhTvZ2lbw7Ql1XudTkMXNJXD3B74aalSgMjn1igr1onEbYq9DsVenUCRm0TKJJ4yCRV7MHQd07T2I3UcS/lqaa78a8/jylPzer3U1dVRV1eHlJLd3V0ikQhLS0tIKY98Tw9zE/G0mBceqv+PlDIDIKW09xRdc8BFIcQ/Pk7qXqieeuBzvx3GsiyGh4ePBIw+bWWaJsPDw/j9fi5evPjA6/g4Oz6WZXH79m1cLtc9t9+jsBUoDwh0TaMiUNiJOp6WzGzAbhpcIoO+O8X5gU48Hg+mae5vg1RWcXnCccXl6W3ONyOUEhbCgjsrGroG51tsakIFyMd7oy1dg+c7LKpD+VydiUgV4XSQEneMVwdceO4yWsyNtmIpwblmi/7GfHPBtajg9WGDZBYutlucbXYKXsTnNnTeHveQyGh01Zpc7jCPdTW2bLizZHBz1iCa0CjySC53mgw0mfgfYDQfT8FyWGM5LFiOaGztCCzn4AMUeRTpub7cIdQoCa/P0dvdTJFHKeXchpIPu/cAT6FD1nEUALIdsCxIm4KMeehnVpA2IZ4S7Ca97CS9LO4K5qIC5tQyNOEQ9NlUhjTKg5KygKQyKCkPyoeS7P9NqMcdUiqEIBgMEgwGaW1tPSKZHxsbw+/3748qHwX5tlDHp6LYJpYWLEUNNuMa7ZUWZf6D82Gu+7OyI1mOasQyBu0VNoG940bXoLVCsrQN67tK9FBXosCPy1By97lNyVJY0lyJIjX7deJ7qe5+j4bL0PC4dJJpSwEfQwEfcsDHMfH4AriCZcdux8dZQghCoRChUGj/e4pGo6ytrTExMYHX690HQiclsyeTyaeq4yOlXL/r//LQv3/3QZb11AOfe1UsFmN4eJjW1lZqa2sfy3t80Duq3DreHYL6IPW4Oj7JZJLBwUGampqor6+/53MfxYHr0pWj6t2VtSTzW7C+q0IwveYyHrnDqfN9+ydBTdNwpBp/zez5x3RUOzSU5XN50iYMLyoCc0XA4XRjfqK6ZcOtBZ3FiBptXWy18jo0uynBm2Ma8XSAKvcSr56rzLuoz2xovDdpYOjwQwVGW46Em7MaN2Z0Aj748YsWVQUAWDwF3x3xMLdhUFZs80OnU1SXHJPXZcPIgsH1GYNEWqO6xOa1sxk6ak/m2RNLwcyaxuKWxko4J10HQ5fUlkrOttlUhiQVe+DiMHlaSsm15Brd9Y33f6NDpWn71whwQ4DcNjgeTEsJiTTsJAXhXcnKVpbNqMPSpoupVS+SvX1DKPBTGZJUhSRVIYea0nv7/3w86nq4KiSZzwXe2ra9T1wPhUIPdRNqOZC1DQ5fbl06dFVbVAdtpjZcjK66qSi2aa8090e3QkB9iUPQK5ne0rmzptNU6lAddPaDcxtKVUd4Ky5wpPq/EErWXleqpO6bOyrfSwhBWbHOWtQilnYI+nR8XoNoLINp2RiGTjqTPbgZlBLNcD01+5TL5ToSTFyIzH5c/luunsJR1yOrjyzwuVfA6KOqnH/Ow85nV1ZWmJub+8Dr+Djk7LlYjP7+fkKh0P1f8BjKdiTL27AcUQChOmCxtXCLqtpqmpr6jzx3JyVIFZ1mal2jvFjSVSMLRkGsRlW4qO0cT2COJlXWVjwDPbU2PbX5HZqFLY33p3WkY9FdukLQnUCIA96Y7SjV1sSqTnXQ4aVek6K71ieZgddHDFa3NTpqbF7ssfMUWFLC7UXBW6M6UsLljgynmwvzeCwbhuYNbsy4SGYE9WU2P3wmTUOBHLC7K5aEiRWd8WWN5bBauN+jujjn29XPqpL7d04+zBO7EFDsg2KfpL4cTrcebOBYfIeF1RiL61l2Uh4ydglza0WMLuQ2sAJttaWSmlKH2lKZ9/melovUB6knnTKfk8w3NzfnRZzkugy5lPmTVELUcmOlhOa0RUuFuT+yAgj5JOeasixt6yxGDHZSHtorTSqKD24QAl5Jf50iPi9s66QtaC47AD91e/L2jZhASmgsU+eHoE+Q9EsiCZUdV+wV+D0aHkMQiVsEvBo+jwI+ybSF28h1eg7eW3MVjgx50vvZYYFBQ0NDwfy3w47fufWNx+MPdN2KRqP8w3/4DxkZGUEIwX/7b/+N7u5u/s7f+TvMzc3R0tLCl770JUpLS5FS8ou/+It8/etfp6ioiN///d/n/Pnz93+TR1RPPfC5e6c5ScDoo6oc4HjQ93Ach7GxMbLZLJcvX/7A8tBHaWCY4xpFIpEjsRgfZkkpWd+FhS3I2lBeDKWuXaYnRujt7d33tADFi5naEKzvGCAs+huU+3IhL5yRZY31HY2SIsnpRrvg+GtqQ+P2so7HgBe7LCoDRzsOtqM4QVPrBh52+cSARiouSSQOnpfIwBt3XGzFNE41WJxruZsTBCsRwesjBqYFr/ZZdNXlf3/xNLw+pLOwqdFQ7vByb4Zir12A9wTjKzrvjruIpTQaK2w+e96kvuze+0QqA6OLOmNLGisRdaKuDDm80GvRtefT81G99geKizjVWcSpTvbVLuHwHJuRBGlZgqlVEjODzK4b3F5Qx2+uo1Vf7pBNBGkx4SNiaHxsPU2dq8MRJ8CxDsWlpaXHnlM91hrFoSrmwm5WdnQ6q0xqggc3JpqApjKbcr/D5IaLsTU35X7V/cndVBgadFTaLG5L1nZVTl17peqGCgG1JRIhJOu7Gh5DUr1331cVEiQzkpVtSXu1MkUtK9ZZjVrEUg7BIh23SyOdtfDt7Ti2c3Be0I3C59KnzQ+nUP5bjhsUi8X47//9v9PT04PL5Xog4POLv/iLfOYzn+HLX/4y2WyWZDLJr/7qr/KpT32KX/qlX+LXfu3X+LVf+zV+/dd/nb/6q79icnKSyclJrly5wi/8wi9w5cqVx/WR8+qpBz6HKxcw2tDQQENDw2M/4HMeDQ8CDnJO0dXV1fT29j6SdXxUo64cH8rn8+XFYnwYJaUkHIeFMCSzEPBCTx3sbC0xt7B8hJjuOLAYgbkt1ZZurpCsTd2gKvjsXcuElajK2VKJ6zatlfkX9LQJ1+cMNnaVe/K5Zmvf2yNXiQy8M2EQSeiUuzd49XQAw9BIJw74TatRwffvuHAkvNJr0lxxFHzIvdHW9RmdkB8+f96irICx4Piy4I0R5UXyyimbgWYHy5LcjW+XwhpvjrrZ3FWy90+fTtNYcTzgkRIWtwRDszoTKxq2I6gMObzYZ9Fd71AW+GAnYdOCeNbL7JogkVbgLZ09UHNlLQUeD2d17f9bKh6Q1517SPXTpbx7AkWKq+V1F+YJHVeH1S5dsO8bFA5P0+TK4C2uwtQr2UkHWInoXJnQkbKbG6tqNNZU6dBUKWmoyI8redrraQI+d9fdXYacQ/Hs7Cy6YaAF2mir0gkEDqTYwknTV5umKeswse7i9oqH5ahNT02WYs/Bvuv3SM40qO7PQsRgN+2hu9qkpGjPRFBAU5mDx4D5iMadNZ3u6gNVY3VQjdjXdjW8boeQT3F76kphdlOyuSupKREUeTTchmA3ZSvgY+gk0ub++SBnWqgbLkSB8+nT/P3k6m7vIE3T+PrXv863vvUtotEom5ubvPbaa7z00kvH8oN2dnb4/ve/z+///u/vL9PtdvOVr3yF733vewD83M/9HK+++iq//uu/zle+8hV+9md/FiEEzz77LNFolNXV1cdGWbm7PjLA50ECRh9VPSjgyMnB7+5afNB6FOTmeDzO0NDQY+VDHVdSSraTML+lwIXPDT21UFokGR8f2zdx1HU17tmKweS6IG0KyoslnTWSIjesTx3dBqksjCwpLs9xXR6A5W3BzXnlzHq2yaKlIn80tLKt8d6UjmU7dJWtcq7r4PsTQuA4kpFFnZtzOkGf5NU+Ky+PK2PCd28bLGyp0dZLPTauu46wrAXfG1Ejp5oShx86axdUdiXS8OYdNxMrBgGfww+fzdBdd3wie8aEwVmdwVmNaELD45KcbnE43WoX5BTdq6RUPKD1bcF6FCIxwXZcEI1DLCWAc7y9cPQ17j0X3ZyiS8D+eGH/gVpuOqsepl0YeOuapNgHAR8EiyQlfigN7P0slgTvo+7y+Xz7N0e5blAksoI0o1SUuwm2VzC9lMId6mAl4uLmjM61KYFAUl0qaa50aKl2qCt7NIaOj7NyF6qnve52KF7dtrmxFGJtPoMvM0VlUZKKivJ9z5uSIodLLRlWojpTm26uzHhpLrdorTCPqLoay2zK/A7j6y5GVlw0l1s0lBwcJ9VBB48hmdrUubNq0FOjDD9znJ+0pUQQHVVqdO51C0r9ku0ElBVL3IYaeW0nbGxHYhjaHohXx5Rj2wjpoLsLtw4fJoLjSVbOtPbSpUv746/W1la++c1v8q/+1b+irKyMf/fv/h0XLx51bp+dnaWyspJ/8A/+AYODg1y4cIHf+q3fYn19ff96U1NTw/q64icvLy/T2HjAE2xoaGB5eflj4JMrKSVjY2Mkk8kTB4w+qjrpiElKyezsLFtbW8fKwT/oenyQjs/6+jrT09MMDAwQCATu/4JHVFJKdlJqpLWbVtLSzmqoCqr26vXrg1RWVtLS0oIQymV1Yk2wnVCePGeanH3fjaPLVZ2giTV1Qumts2mpyO/yZC0YWlQE5tIihwutFoG7vhrHgeFFnbFVA5eM8Vxrisaao6DVljrj0Ua21w2aK2ye77Ly/HDCMcG3hgwSaXih26KvIR9crUcF37yps5uEy502lzrylV2K86Pz1h03lgPPdGa50G4dewFOZ+HalM6NaZ2MKagvd3i+16Sr3jmxZ49lw0oEFjcFS5uClbDK0MpVwCcpKYbWGpWPFdmY4cypNoq9Ev9DdGgOv286q7pxybSK0ogllbIrllIgaTUiGFsERx4O7ZWUB6CqRFJdIqkuheoSBZburru9T3LdII+zijsR5nxNKZ/oLSdpl7EcMVjY1Lg6qXNlwsClSxorHFqqJS3Vytn6abt5f9o7ClIW3jdqS3WecaUYW3OzwykczcSKLpJMJrl58+Y+N6iuJEBlwGZyw81c2MXark5PTfYIryfX/ZnccDEfdhFPa3RWH/CDSook3dU24+s6d9YMevfAj6ZBa7lkYl0wtyXoqlEcsIqAIJpUXZ/6MkGxVwGfRNrBtYe6LHsP+Dgqs8vlKzwS+qgBn8OVTCbp6uritdde47XXXgMUt7YQX8uyLG7cuMFv//Zv88wzz/CLv/iL/Nqv/dqR5whRWM37JOqpBz47Ozt4PB66u7s/9I2m6zqWZd3zOYfl9A8jVT9JPeznzkV37OzscPHixQ/M51Gdj5MdyMpxWXnkuHVor4LqkGon7+zsMDIyQnd3NxUVFWQtlZ21sq2kp101DnWl+WotUMGiI0vKl6cy4NDf4OSRnAHWd1SXJ21CT61Fd62Tt7xEBt6bUlydYrnCywM+AsVHid7RhOCduUoSWYOLbRa9Bbouk6sa37+j43HBj16wqL5L2SUlDM1pvHVHo8gDP/mcTX1ZfhdmNyn41i0vyxGdhnKbT/Rnj83fyphwdVLn+pTiMHTW2TzbbVNTerLuzk4CplYEkyuCuXWBZasPVR6UdNRJasocqksl1SXkjX+uXt2ipbr1RO9zrzL0HHkZZeVzjNLLcWA3ieo6JWA7JtjcVUDt9vzBvuj3SGrLJbVlUF8uqS2TebL+XDdoc3OTvr6+fVVSNDpDwO3m5fZyis+VsZUoZm5dY25DMDOkEGSoSNJW49BW49BYeXJg+TjraQc+V2e96Dr01GTwe45+rxXFNi+0p1jdMRhfd7OYacMdCtLe6SIT39rnnOTyqiprq5gO+7m16KU2ZNFVnT2Uwg7d1SYBj8Ns2CC95KavLrs/zg54JT01NmNrOuPrCvwYuupQtlRIpjYEqzvK5NDQVdcnEodKS3V9DA0SGYfyQA747AEvKfEU+THchW92H4Yj+rRUIR+fhoaGgs/NdVifeeYZAH7qp36KX/u1X6O6unp/hLW6ukpVVRUA9fX1LC4u7r9+aWnpvsriR1lPPfApLS19YiZK9+u0fBhy+oct0zQZGhoiEAhw4cKFR3JyzI3cTgJ8dE154LRXqXm6toc6VlZWmJ+f59y5c3i8RcxtwnxY4DhQXwotlbJg9lTWgqS7k3cmFTH5bJO9R1LMf97wks5CWCfglbzcblHmzwcDSxHlsGzbDjXGJC+crcsjoc9uaLw7aaBrDt2hKfrqm4783XHgvUmdkUWdmhKHTw9YFN3V8c6a8PqwztSqRmu1w6dP23gLqNFuLwi+M+RBAp8ayNBXwAso956Dsxpv31HOzF11Ns/12FQVcIi++z1WwjC+pDG5ItjcUQsvKZaca5e0Vjs0VMq89X8aStOgpFitq6qDz5rKwkZ0byy3LViNCKZXQe51iEJ+SX25pLFS0lChgFxu9717/JLrBi3MKclvU0kJ5y6UI9ylLGwazKxpjMxr3JzRMTTFDWqvdeiodQp2mz6MepqBj5TgdUlmt1wshg2aK0y6a7JHHJiV0sqiOmgxF3YxvlrCOzM6LeU+OrurMbSDvKrw6iCGIwkFulndqSSS8DJQnz3C66kvtSlyS8bWXAwueuirO+AGFXsknVU2E+s6k5uK86MJ8Hugohi24lDmhyI3lBULInHJdkJSHdLweTSSGQdBTs11sC+6jlFzqed9dDs+iUTixHL2mpoaGhsbGR8fp7u7m9dff52+vj76+vr4gz/4A37pl36JP/iDP+DHf/zHAfixH/sxfud3focvfvGLXLlyhVAo9KFeQ5964PMkD+p7AZ/V1VVmZ2cfq5z+YSsHyNrb26murn5ky30QrpHXJbjQcnBSllIyPj5OKpXi4sVLbMYNZpcEGUtQEZC0V+UHiqrXwWJEMLGqkTVqaKmQdNYUvttejQpuLRhkTOiqUTL1u+XZlgO35lV+lUfE6SpZ4VT30bw024HrszpjKwZVQYcztWG2t47GwKSy8O1hJVXvb7R5ttPOG1uFY/D16wY7SXihx+ZcW/74K5mBv76pMbmqUV9m8+nTGULHnGtm1jS+N6wTjmk0Vji8OmDet8OTzMDwrODGtEZ4V6AJBQI+fdaho16NjJ7S6+aJyueG5iporpLkAFHWhNVtWAmrsd3ilmB0QX05bkMBIcOuI7ip0VzN/hjxMDcoR8bNdYPcbjeXGsv49EA54aSfmTWN6VXlwv3Xt6CmVAGgjlrnQ8lAy9WTBj5zWwbRpEZ3jYnPfXRfFAJON2borM4yvqZGVQthFy17AMjrOqSI0qC90mRz9n2K6p5lNuxiOeqipyZDQ+lBXpVlWWxvb7ManmAz28S1OS+V3jCdNYKiIoU+S/0OpxuyjK66GVpy01Nj7hsehnyS1gqbmS2DhYikpVz9viYkiSYFy9uK7+PSlTnqThIqgxKvSyOWcnD2HMhzwEcIoWIrjqmHzel6GupBnZt/+7d/m7/39/4e2WyWtrY2fu/3fg/Hcfjpn/5p/ut//a80NzfzpS99CYDPfe5zfP3rX6ejo4OioiJ+7/d+73F9jIL11AOfJ1mFgI/jOIyPj5NOpx+JVP1R1+MEZA9Kss6dkA+CY0uoazvL9XmNZFYQ9Er66h1Kj7nQh+NKrRVLq9azZ/MGffVn8p6XysLQosFKVCPodXi23aa0QJdnOyF4b8pgN6URkAucbZbU1TYfeU48Dd8fU+Ov3nqLCy02sRhEDklSN3cF3xpUY7RXT1l01eZvk4kVwetDqjv1k8/Y1JcX6Dptwdeu6qSy8Eq/zenm7F7Q4dEL2W4SXh80mFrVKfE7/MSzJh219/buWdqCaxMadxYFtiNoqJD8yGWbnkaZ13F6kJISTFtnM6o4OPEUe7wc9T1kTTWGs+yjyi5NHBCfDz9chgIvPo/KbgsUqUexj4cmFrtd+WBoJ6FGY4tbise0Hq1j8g2BoatOUHOVpKVaUleuLsKFukGRSIS5WdUNaiwp4czFcmy9lNkNF1MrGm+NGrw1CiV+SWedTWedIkg/TlzyOIGPZd//O4gmNcZX3UysuWmpMOmty+47JufK55acbcrQVZ1lbM3N7Kbi4nRWZek4NK4C0DA53ZChudzk9oqHoWUvi9s2A/UZAl4HwzD2jPnAtBxGlrNsJivYmQ3jTd6gJFS8n/V2pkFye9XNnVUXfbUmpXvgp6JYkszarO3qFLklVQHF7akrkSxENCIJlekV8gtiaUkyo8xXAcx9bo8DSNxuzz23/6PK6XoSlUgkHogTevbsWa5du5b3+9dffz3vd0II/uN//I8faP0+SD1dV+2nrO4GPjmpelVVFT09PU9Vi9lxHCYnJ0kkEo8NkD2MuiwWizE0PExNUx+RbCmLy4q4PNDgUHFMtyGZgbFVjbUdDa9L7o+13t1IHHmelDC7qXx5HAl9dRad1YUJw+OrOsOLOobmUGHf4tJAfZ46cCmi8da4gbxLqn44rmNiRePNMR2fW7kwVwTz+SjvjGncnNWpLXX47Hk7j2fiSLgyLnjnjkbIDz/zik11CWQyzpETpePAjRmdt27rSODlfouLHce7M0sJ06uCt0c1FjcFHpcaY53vsKkqOfYrOrZSGTUeWw2rn5tRCO9C1joPo0efq2sKvHhc6qHrCuzkvt8ckdmyjz6ylvp5dwkg6IfSAJTtPUoDUB6EypJ83tH9KuRXY6/+FvV9Xbk6SLB6gMUtg/l1wRvDGm8Mq45QS7WkrUbSVispLVaf4e4088PdIK/LxSsd5XiLK1iJ+plcUdyrq5MGfq+ks86hu96moSI/S+6ktbkrSKQFTRVH9+8HUXVlzJNvN9OG//V+ETUlNr11JlXBwkD7bFOWjiqTsVUFaGY3XTSVW/TVZQkVHT1XFHkk55tVB+jOioexNQ8zWy56arK0Vpho2sHNUsjn8FxbisVtg7E1D29O+uioMumoyu5vQ5chONtksxDJMrVRhlH6HP7gJpHIOjMzM7hcLkpLK3CMFu6sueivyxL0qe+/sdQhlRXMR3QCHuXaXlIEW3HJ+q6gzK860EKoKJ3y4qPAx7YdNOng8tx7xvmD1PH5KNVTD3ye9KgruxeZHYlEuHPnDj09PfsKkQ+7jru7y2azDA4OUlZWxrlz5x7bNntQ4LO2ts7kQgR31XPM7+p4XZLeOoeaUGHAk7Fgel1jPqySvbtqlCePfteJXghBNCm4taCzndCoDDicbbIKStnjabg642JjV6PUE6M4M8yFi/1HcoUcB27O69xeMij1O7zSax5JbxdCYNmSt8d1bi/q1JU6fGogP+IilYVv3NBZCmucbrZ5sS8/EDWZgb+8pjG/odHb4PBDZx3cLvW5pJTYto3jOIRjGt+65WU9uscNOmsWlL3n1n90QfDOqMbGjiBYJPnh8zZn2wvzpQouQ8LGNsyuwuyaAjrRQ9O9YBFUl0JLDexGFujrbtrvzAR8D6/sAuUNlMwoCX8sqR47CdiOQ2QXJpdUd+lwhfxQVaIelaVQU6rW7277gOPK0Cy66iW9TWp/TmZgfkMwuyaYWRVMLB9whNprJR21kpYauacGKtwNWl2cJJNOc7qyhOfay9lOlzO9ZjAyr3FrRqfIcwCCGivkAwWuDs25uL1oUOSRdNVZ9NRbVAbliTs+pg1/+FYRVUGHngaTlsp7x5s4DrRXW0yuuZjbdFERsOmrN2mpsPLWu9grudiaob8hy9iqi6l1N/NhFw2lJqfqs/udllwFvJLLbWkiiSy3lz0MLXmZ3nTTX585QmtXXjwWNUGL26seJjfcbMZ0zjWl93lCQkBzuUXA6zCy7GFiu5qBuhI6O5399HIjPEzK3cPwkoum4k1qKwMYhkFbpc3wssFsWKe3RnHqKgOS+bBGLC0J+gQ+tySZhcq9z2zvAR8pHRXIe4yM/WA7frQ7Pn9TgY+4j6vkU2E5mclknsj7bmxsEI1GcblcbGxscObMmUcuVT9pvffee/teN4crp5Dq6uqisrLymFc/mhoeHqa5ufm+PkqOIxmZXGXbLMHWivG6JC0VkpqSwkoty1by9JkNZULYUKZ4PHfna7333nucO3+J8XU30xsabgMGGmway/LvRqVUOVq35tWVsMo1T0jfor//1JE7sMOjrc4am0tt+dLxzUiCbw8ZxKwAA002z3Tk83k2d+Hr1wwSGfhEv01vY/6hsxqBr76vk8zAp047DLSoUYzjOPthk7YjuToheGvUwG1IXu3P0lVnoeua4hMcemMpYXJF8N1Bjc0dQUVQ8nyfw6nmk4V2JtMwsQTjizC9qv4PUFoMDZVQW64edWXgPwQEr169yqVLl+7/Bo+wshZsx1THaSOquk+5n7mOkSYUEKqtgLpy9agtpyD4u379OmfPnj32ohSJweyaYHpVqd6ylkDX1Eiso049ygpMAQ4b9W1vb+NyuQiVVBBzqpnb9DGzpmHaYh8E9TScrBNk2TC/qXNnSWduQ8eRgvKAQ61/k7aqNC2N9z72sxYMz7sYWzGIpzV8bkl3nUlfg0XAd/xp3rRhet1gdNnNbkqjyO3QW2/SVWvmGYDmKmPCxLoaf5m2oKHUpL/hgIR8uKSE9V2dkWUPsbSOx4nwQp8nr1sEsLqjM7Skzr/9dRnqS48qbtOmYHDJQywt6KvNUldy0EpMZiRDy24cx8G1cwtdmJSVlaH5a1lLFNNarlzcHQl3VgRFbmitlGzsOoRj0FUDs5smAa8gm8lgYBIq9lLkv3fg58bGBslkkpaWlns+72msl156iWvXrj1JOsdj63p8JIBPNnsoDO5DrI2NDcbGxqioqKCnp+eJtiyvXr3KmTNnjkjSl5eXWVhY4PTp0x9KmNzt27epr6+npKSk4N8dCWvbDhMrWRyt6L6Ax3aUedj0hkbWElSHHLprnIKdGynh+1enSXq7SZsaLRU2p+rzs69A3b1fnXGxtqNRGbDwxG9QXx2iubn5yN3x/JbGOxNqAc91WrRU5p9s13cE37qlkzElr/ZLOmrynzO5Kvj2oOLzfO6inRdUCjA0K3h9SMPvhR+7bFNTqro8h0HPTlLwl+/rLG4JOuscfvicRZFHPefwyFUIwWpE5ztDBoubgrKA5NXTDr2N9+eTmBbcWYBbUzC5rLar3wud9dBWB621Cvjcq54E8DmuHEd1htYiB2O55S3VPQK139WUQVMVNO49Sovhxo17A5/DZdmKHzS1IphaFYR31UauCEq66iWd9Q715YVNFdPp9J6LdJh0Oo0/UEJK1LGyE2JmTce0BX6vpLvepqfhZJygdBYmVg3uLOmsR3UEkuYqh94Gi9Yq+568HEfCUljnzpLB/KYaoTZV2PQ1WDRW5Eev5EpKWIrojC67WI0aGLqku8akr97E7y18bs5aMLHmZnwPADWWmfTX54/Acus1u2kwsmjgCIP2SpO+ukzeZ0llBTcXvWwndepLTPrveo7lwNCSh0hC3yNGHxw3iYxgaNmtOs9VcaLbEcKRCHGjFeHy0eBdp6K8lK2kh80Y9NVK0pZKbW+qEKxtZ/G5wLayuIRJdWXpfbttq6urWJZ1xKzvo1Ivvvgit27depJTl4+Bz4cNfOLxODdv3sTj8XD58uUP9b0L1fXr1+nr68Pn8x3JAuvv7//QEPmdO3eorq4u6Eq9tgPT65CxNNyaSXuNvufbk78cR8JyRDC5ru25Mzt01RxPct5JCoYWdbbiGkGvzdlmh/IC/jZSwtS6xtCCgQR6qhNEl96n+65umGmpgNGpdZ3yYoeXe0wCvvxljS5pvDuhU+R2aPaO8sKl7rznvDehcW1Kydk/dyGfz2M78J1BjcE5jZYqh89fdPB58kHPxLLG168pV9hPn3MYaM6/ADqOw07c5vVbOrcXdPweyfO9Juc6lPfIccBcSphbg5tTcHtO3ZGH/HCmHfqaoa6i8Pd0XD1NwKdQ5Zynl7dgcUM9lrbU9w57jtDuMOd7S2mt06g8ZvR6XG3HlQfS+JJgYUPgyFwHR9LdqPhBhcBHLhwyHA6zvb2NpntIa42sxstY2HJhO4JQkaSnwaa30aHyBI7bQ2PLrCcqWdgOksgoTlxPvUVfYz7/7O6KpwV3lg3GlgySWY1ir8OpBovuerOgN1auwnGN20suZjcMENBWadHfaOaNtHKVtWB8zc34qjLlbKmw6G/IHImgAMWHuX5rBE/VZWY2XfjdkvPNaSoCdwlMJExtuJjccFPscbjQnD6yLNuB4WUPW3Gd7uosjWUHnaFwQuPOqpv6EovWCvX7eAZGVw2K2CYbmcQRLlwVZyjxJKktdTO9ATUhQTiexWNIsLMUewSlJfcn/i4vLwN8qB41j6KklLz88svcvHnzY+DzpOrDBj65eIy2tjY2NjY4ffr0h/bex9WtW7fo7OzEMAwGB486Hn9YNT4+Tnl5+X4I4eEanU+wviNpq9ZoqioqeCGREtZ2BJNrGvHM3km+tjCIAcX5GVvRmdnUcOvgt2d5pq8Cny+/JbSzl7gejmvUhByaA6usLExw5syZI92wzV3BW+MuYmkYaLQ505Q/tjJtePOOztSaTlOFw3MdcaYnRo+kB2dN+NYtndkNjb5Gh1dP2dzdPEik1WhrOSy43OXwYp8yUcxxeaSU2I7gu8M6N6Y0akslP/6sTUmBjovjwLVJ+M4t1YF4rlfyfK+DrtlHeFe5cZimaWQt1dl5d1SNhNwGnGqFcx2Kq/OwRNsc8DEtSWQXdhJyP4Yis+fEnMlKMqZa75yyK7earr1oC59HUOSBIi97PwU+jyI1e1yPdr+2HcVhWtiA+XWYWMiSttTV3e9Vna72OuioUyTqk1Y6qwjl40tqLJYxBS5DcYK6GySd9fJYQnGuGxSJRIglsiRFAxvJKlaiHqQUVAQd+hodehttgsdMVGZmZggEApRXVLKwqXFnSVk1OI6gKmTT12DTXW/dk9RsO2qMdnvRxcq2jq5JOmosTjVaVAaP5/TF04LRZRcTqy4sR9BYZnG6KXvsazIm3Fn1MLnmQgId1SZ9dQeydtM0GRkZ4dy5c2zFdW7Me0lkNNoqs5wq0P3ZiuvcWPAiJZxtTFMdPABIjoThJTebcYNTdRlqQwd/m9owWNvVGajPEtob801t6ERTgnONFtKxGFvTkGaS1NYYgbrzeNjF0X24NRtNmpQFPRQVOA/dXQsLC7hcrqfO5+1+JaXkpZdeYnBw8Emuxg828DFN85Glk9+rHMdhYmKCZDLJwMAApmkyPj7OuXPnHvt736+GhoYoLy9nbm5u3/H4w67JyUlCodC++yYciusIhzlz+gweT/6toprjK8ATSytVV1eNQ02ocFvfdmB6Q2NiTce0oa3SobfO5vbwTXp6eo5Ypls2jC7rjK/qGDqcbTKxdibZ2Yly5syZ/YgT24HhBaXsKvLAi90m1QXuqKMJ5c8TiQsuttmca3XIZjMMDw/v59NEE/CX1wy2E/BSn8Pp5kLxFPDn7ymp+mfOO/Q05EiRct8NfDel8efv6qxtCy51Obw6kE+GBljfhq++qxLfW2skn7sEFUcNpvfHYVJKonGHq+Ma1yc0UllBbZnkuVOC/hYl9X6QklKyk4D1iGQzCptRyfTCDhknyE78+BOEoe+pu7SjeV0A9p6aK509/n29bgjtSYpDfvXv8qCgIiSoLAG/74OdE99//yptXReZWxfMrsHMqiJVg1KOtddBR736eVIllG3D3LpgbEkwsaxUWLqmOkA9jZKuBnlsJ+VwN2h9K04kU81muppwQu3rjRUOfU02XXXOETuC6elpQqHQkfNBKgsTywa3lwy2djUMTcnrTzVa1Jbe2wYhEhfcXnQxsWJgOYKaEpuBJkWGPm7SnzFhbMXF6LKbjCWoLbE43WhSU1LYhDOZEYwsKxWYoUN/Q4bOahMzm2FsbIwzZ5RlhWXD6IqH6U03fo/DxZbUvh/PwWcVXF/wspPSOFWbpaXCPPg+HLi16CGa1DjdkKVyr3NkO3Bz0Y2UgnNNGQxtD8StGbSUW1QFJPNhFaHTU2MzvgqGjCMMDzpZXMLGq9uUlpbcd1Q6NzdHUVHRkXPmR6Ecx+Hll1/+GPg8yfowgE8mk2FwcJCKigpaW1sRQpDJHL3gPcm6cuUKpmly/vz5YxNyH3dNT0/j9/upqakBVGt6ZGQEt9tNd3d33qhFStjYVSOt3ZSgyK1Iy3UFHJdzz1+MaIyu6KSyguqgQ3+DvS9BzXW9/H6/ciLe1rgxZ5DMCporbPrr00yNj+D1eo9EnETigrcnDLYTGm1VNpfbrYLcoKk1FT1haPDJfouGPe+dnGru0qVLzG8IvnFTRxPwmfNKnXN3jS8L/uq6hs8NP/GskqrfPdqa29D46nsajoQfuezQWVd4dPfeHXj9lgICn7kIp5qPH8sk05Lv3JS8N6pS3nuaJM/02DTt+dnoup5HkM5/T8nGNkwtS6aWJQtrkt3kwd89LihyJWipL6aiRFARUuCkaC+z60DOfv9zlu1I0hnFyUqmFQE1kcqpuiTROOwmJDtx9bvDW8jvheoyqC4V1FcK6isENeVgnOB9QXWtLl68eMhgU3XFplZgekWp27KWAm7N1dDVoB6VJScbizkOLIdhbFF5Ke0mBZomaa2W9DaqbpDvHoKgnCJpcS3GQiTIZrqWRNajujG1DqeaVJDq7MzUEYXZ4ZISNnY0bi/qjK8YmJag1O9wqsmir8G6p59TxoTxFYORRRexlBqD9Tea9Nyje2TaML7q4vaSi1RWoypoc7Y5S+0xAGgnpXFz3sPajkFpkc3p+l02l0bzOuxbMZ3r815SWUFvbZaumuyR5Skg42V916C7OkNH1QH4sWy4seAhntG41JLe9xjaTQmGlj37Iy8pYWTFQBOSU3U2mzFYiWr01TlMrzkU+yTprIULE7fIEt8NE41Gcbvd+9u/qKgorwM/MzNDMBh8IjeqH6SSySQ/8RM/wbvvvvskV+Nj4PM4gc/29jajo6N5UnXLsrh+/fp+/siTKMdxGB0dZXt7m56enseu3LpXzc3N4Xa7qaurI5VKcevWLRobG/PyW6RULsrTG6rD43NLOqsd6koLq1dyHaHRZZ2dlEbI5zDQYFN5F0dhaGiItrY2pB7g5rzOalQn5HM432oRcCXz1sdxVK7X4IKO14BnOy0ay/P3I8uGdyd07iwrrs4n+49K403T5MaNmxgVz/LOmEZFED5/wcobP0gJ744L3rmjU1cm+fFnFOfnMOgBwfsTGm8Ma5QH4QvP2wXVQbsJ+PN3lbKou0Hyo8+Sxx/aXz9L8u6o5Ls31XjpQpfgE2cFZcGcy6yzL5M/fLxrmrYn1ReMLUhGZiTTywdAp6QYWmsFTdWC2nJBZanix1y7du1D5/hYtmQ7Bls7qvO0sS1Zi0jWIwedI01TROb6CkFDlaC5RlBTBnqBne5+PCXLVmOxySWlfFvfVr8vKYbuRuhpgtaak5ksSqlCYO8sKBC0k1AgqK1G0tekQNC9ukpKKbbD9FKCyTUfG8lKTMeFz+1QG4hwphXaGwP3BGRZCyZXdW4vGKxF1Tirs9ZmoMmi5h5dIEeqMdjIghqDGbriEJ1uMo9Vg1kOTK0ZDC24SWY1qoM251oy1JQUVnUtRgxuzHtIm4IyY51Xz/jzbkyyFgwuelnadlFebHGxJX0k+sKRMLjkYSXqoqMqS1fVATjKWPD+rBdNwDOt6f3vbGLdxVZc42JzBrcBazsaC9s6p+tNTBtmNjXaKh2Wwg5+jyRrWbjJUBZwUbwnc8xZGUQiEVKpFKFQiLKyMkpLSzEMg8nJScrLywsC06e5NjY2+Mf/+B8XNB/8EOsHG/hYlvWB0smPKykl8/PzrK+vc/r06bzUWSkl7777Ls8///wjf++TVM4wsaamhnQ6rYL6niDwWVhYQAhBUVERY2NjnDp16ojCy3FgZQ/wJDJqpNVedTzgAcW5GV3RiSQ0/G5JT11heTrAraFRMt5uFrZ9aBqcqrfpqrHZ2VHAta+vj9LSUuBol6elUnV57pbH5573+rDyAzrTbHOpPb+ln0xb/NmbcSLZSjprHT512s7zizEt+MYNjfFlxfn54XMOhn4U9FiO4BvXdEYXNXoaHD53ySnceVqBP31bXXw/c0Fxco67MN2Zl/zFOw7bcehqhM9e1qgpu7eTrOM4pNI2o/OSkRmYWGRPXQSdjYKOevUoCxb20XqayM2OVDyjlS3J8qZkaROWN+W+qsttQGO1oLkammsErbUCn0c88GeIxhUIGl9SHSHTUp2tzgYFgrobuGcHJ1dSKluD0QWN0QXVCdI1JY8/1awI0vfzIkok09yeSTO27GYjEUKiUerPcrpF0t/CffPWNncFI/MGY3tdoPKAw0Cz8ga6l+/TVkxjaN5gek2JB9qqbM60mMdyeiwHJlddDC2qDlBjmcXFtgyhovzLimnB9VmNuUgRPpfkYmua+tKj5/wcSBpc9KIJybPtKcoPpbRLqUjNi9su2iqy9BzqDEWTGtfmPdSGbE7VKaSsxmRu6kps2ios0iYMLbtoKrMpLXIYW9VoKHXY2HHwuhwcxyLgtqko8RXsmjqOw+7u7gF5fc/3rL6+npqamqfK8PZ+NTMzw7/+1/+ar3zlK09yNT4GPo8a+FiWxe3btzEMg97e3mPb/++8884TAT45w8Te3l7KysryxkxPohYXF9na2iKbzR7xNDJtWAwL5raUSivolbRXH8/hAdiKCcZWdTZjGj6XpLvWprkiP0EdFKCa3tAYnBfYUqetyqG/QRkILi0tsbS0xJkzZ/D5fNgODC3ojCypLs8zHRZNFYXvNO8sK9WW24BX+iyaCoyttuPwl9d1tuOCF3qcgnlbsZTi86xH4eVTDpc61ec+TGKOpwV/+o7B2rbglX6bZ3sKqbbge0Pw5ojyo/nplxXfpFDtJiR/8a7DyKwy7vuR5zQ66u99npBSMrsieXPI5vasg2UrY8L+NjjVAs3VEiHkPjn6uGPiaQI+hUpK1R2aX5PMr0vm1yQrW6orIFA+P359g+fO1dBWJ/B7H+z8aloK/IwtwNiiiuvQhOID9TVDbzMnCi2VUo3DRuc1RhcF8ZTAbSguUH+zpLXm/n5MQyOThDPVTG8Us53yIXCoK0lyplXS0+S658gxa8HEis7wvIvNXQ2XIemttzjdbFEWOP7UH08LhhcM7iy5MG1BXZnN+dYsdcd0jhQPz8XwolJ19dWZnG7O5vkA7e7uMrkQZcPpYSel01Jhcq45nfe8eFrwznQRqazgYkv6iJ+PlHB7xc18xE17pQI/uZracDEXdnG6PkPVHhF6fN1FOK5xqSWDS4fhZQOXLumuthlaElQFJNGEg0u3EVhUhwyKfScjfWWzWYaHh9F1nUwmQyAQ2B+LHbYleRpreHiY3/md3+EP//APn+RqfAx8HiXwSSQSDA0N0dTUdF+Z4YcNfKSULCwssLa2dgRczM7O4vF4qKur+9DW5XA5jsPVq1dxHIdnnnkGTdNIZWFuS2MxLLAcJUtvrZRUBo7n8GzEBOOrOuG4hseQe+7MhUm9yjtEY2hRJ57W8OsxBhoyNNcG9jPTMpkMAwMD6LrO+o7gvUmDnZRGe5XNxbbCfIRUFt68YzC3qdFQ7vBqX36qOsD0mvLn0QQ0eob4zCt9ec9Z21agJ2PB5y86dNTmk5g3djS+/JZOxoQffcahqz7/sEqk4X+9pUZb59oln71U2IXYkZL370i+8b7EduBT5wUvDoh7cltsWzI47fDGTZvFDUmRFy5065zp0GipFWjiYCR2mCSdq9xILAeE7gV8sqYknpKkMpDKSGxbAY5cbpcQ4NJV3IBhHCi8XIZSeJ2EG/QwlTUlixuS6RWYWZHMrdjYewnuteXQ1SjobFAdIfcDKMocCcubMDqvrAIiMXW2bq5RfKxTrRyryDqyHAcWNgUj84KxBUHaVBL5viZJf4vyCSp0TI2NjVFXV0cwGGRzRzA4IxldNMhYOm4tQ1NplNOtDs11wWNtL6SEtajq5kyuKkVYQ7nN2VaLlqrjvX0yJowtGwzNu0hmNWpLbC62Z6krK9wBSmUFN+bcTK4ZeF2Scy1ZOmus/eXv7OywtrZGR2c3oytuRlfceAzJpQLdn4wleG/aRyShMdBwlNdzuPNzrjFNXYk6Dh0JV+c8pE2N59pSuA1IZgU3Ftw0lVk0ldnMhTXCcY3zTRYjy4KSIkk85aALC5dm0lxVhPYAcsiRkRHa2trw+XzEYrH9sZjjOJSVlVFeXk4gEHjqYi2uXLnCl770JX73d3/3Sa7Gx8DnUQGf9fV1pqen6e/vv68DMXy4wMe2bW7fvo2mafT19R05GHJjpidhhJUbuRUVFeHz+ejo6GBmUzC+snfhKJG0VjqEjjnB52Ts46s620nV4emssWmpKAx4ADZjgltzBpGERtDncLrRZnd9lKqqSoLBIIODg5SWltLW1kbGElyfVTLeYo/kmQ6L+mNOvnObgjfvqAT3yx02A035d6m2A+/u5W1VhRw+c97i9q38kefYkuAb1zWKvPCTz9pU7imtcnwaIQQTKxp/cUWjyAM/9ULhzKy1CPzxG6pz8CPPwNn2wttkNyH58hsOk8tKcfQTL2qUB48/N1i25Mqow+vXLKJxqCwRvHJW52KPdt+Le44PdLd5YtaCN94eo7S6l8iuJBqX7Bx6pD6gybrXDUG/IFQsKAkISooF5SFBZYmgslQj6H80MTbvXblGddMFZpYlk0uSuTUFJHVN8Zq6GgXdTYLa8pO/n5SKC3R7TgGh9W115m6qhoFW1VULnAAEWTbMrCoQNLGsOFglxaoLNNDiHOkC3rlzh4aGhiNhkrYDM2saQ3Mas2saEkGJJ0pDcJOeRkFlRSl+v7/g50pm4PaiwfC8cngOFjmcbVG+QMeNwSwbxlYMbs4oAFRfZnO5I0tVqPAxGI5pXJn2sLGrUxGwebYjQ0XAYXt7m62tLTo7OwHYTmhcmfESTep01WQ525g5Moa2Hbg662V1R/F6+usz+8ey48B7sz52UhovtKcI+tS6xNOCK7NeGkotumsUWBpaUp2o801Z1nc15iM6Z+pNxtYEJT5JMuOga2rMVVt+glbeoRoaGqKrqyvP8d80Tba3t4lEIuzu7uLz+fa5QE8qHeBwvf7667zxxhv8+3//75/kavxgAx/btvfvnh+2ciGe8Xic06dP78uc71cfFvBJpVIMDg5SX19fENwsLS1hWdaHbn0ejUa5ffs2vb29WJbFzs4OnZ2dROKwvqvRUuEcK9GVUnF+xlcVabnIrTo8zeX5QaK52kkKhhd1lrd1fC5Jf6NyVNYETExM4PP5WFxcpL29naqqaqbWNW7MGmRtxfk53VTYuTZrKQLz+IoyLfxEv01ZAf+geFrlba1uaww027zU66DrR/cDKeHtOxrvjWvUl0t+7BkbvyefxHx1UuO7Qxp1ZfCFF+yCjtS35+HP31H8kC++omIWCtXwjOTP3nKwLPj8s4LLveLYC7IjJTcnHL7xnkV4F1pqBZ88r9PXqu13d05SjpSshx3mVh1mV2zmVmxWww5SqmVoAgJ+peoqCSiwEioWBIoEXrfy5DGMXFipUOM/RwU9mpYaGVl7/86aqkOUSEl2ExCNS6IxyU5C7vv/gOLsVJQIqkoFNeUadZUatRVK5v4gd+J3d62ypmRmVTK5qIDQalj9PuSH7iZBT7PqCHndJ3+PjSiMzCoglANBzTVwem+0eBxZ/XBlTBhbFIzMCWbXBSCoL5ecblXRJDNTozQ1NR2bqRRLwe15naF5nZ2EwG3Y1BVvUelZpKbcRXl5+T4R93A5Dkyv69yaNVjd1vG4JKebLc60mMdyiCwbRpcMbs66SZuCtiqLSx1ZSvyFFYuzmwbvT7vJmILuOpOW4BqJ2Dbt7QfI33ZgcMHDxLqbyoDFC53pfd+f3HIGFz3Mbrlpq8xyuuEA/KRNwVtTPjQBL3Yk94Hb6IqbtV2dFzpSeAxY2taZC7u41JwmaQomNwx6ayxmNgUBj0PGtDE0k9oSjeJ7OTsWqJs3b9Lf33/P642UkmQyue/pZJompaWllJWVUVJS8kS6QV/96lcZGxvj3/7bf/uhv/eh+hj4fBDgk8lkGBoaoqysjLa2tge6Y3znnXd47rnnHisxLRwOFyQLH67V1VVSqRRtbW2PbT3urqWlJRYXFzl79iw+n4+trS3C4TDd3d33fJ0jYXlbY3xVI5bWKPYoDk9DWWEOD0AiAyNLBvObGroOPbU23bVHQczg4CDRaJTz58+TkkGuTivDwqqgwzMdFqUFTrAAC1uqy5PMwNkWh/NthQMaZ9fVaMt24JMD9pGRVA74ZE34q+sak6sa/U0Onz6bT2J2pOCvb+oMzioS8+cvO7juAmNSwhvD8MaQoLFS8tMvF+aFmJbka+9K3h+TNFTCT7+qUVly/L44vuDw1bcsVsOSugrB557T6W3WTrz/xlOSO7MWo7M2d2Yt4nvhoD4PVJeYhLw7nO+vpqHaIOR3OHyKOGye+KjKcSTbMcnmtmQzKtmMOmxuSza2JeGo3H93twE15YL6So2mGvWoLRfHjs7ux1PaSUjGFyRj8woIpbOqG9ReL+hrUY/SwAOAoG0YnlWPrR0FBjvqVSeor+VkXkGxJIzMC4ZmVTaboUtqAlGe6XXR0+y9p6pLSjVKG5zVmVzRcKSgoSxDY2gdj7WIYej7o5e7u0Fr2xrXZwym15RXVn+Txfk2i+J7RFUMzbsYmndhOdBTZ3Gh3cTvyX9+xoKbc27GV1y4dYe20BLP9Oej/7ktg6szXtwuyUtdR/18pISRZQ9TG246qrIMNBy0HbeTGu/O+KgO2JxvSiOEGm+9M+2lucyis9rcG3d56Kg0CXhtbq+6aC23WIkKilw2lu3g0bO0Vnsf+Dpwv0y4QmXbNtFolHBYSeY9Hs9+N+jDsjL5oz/6I7a3t/kX/+JffCjvd0x9DHweFvjkOhYPG+J55coVLly48FhiIaSUzM3Nsbm5yZkzZ44kht9d6+vr7O7u7reBH2flIjFM06S/v3//oI1EIqyvr9Pb21vwdZYDC1saU+s6iawg4HXoqXWov4dcNpWFOys60+vqPTprbHrr7CMXgtx2WlhYoKG5i9VMIzMbOkVuyflWi9bKwstPZ+GdCeXAXOp3eKXPpqqAaaFtw9tjGoNzOhVByWvnLMruuoF+55136Dv9PH/2nk4kBq8MOFxozycxZy3Bn7+nM7eu8VyPw8v9+etm2cqQcHhOcKZN8iPPFJZFR3Yl//frDitb8MoZwQ9dFAWl2aA6JF9502JwyqE8BJ991uBs58k6PNG4w/U7FoMTFrOrDlIqENbXatDVrNNco7GzNYVpZunr68s7id9PLv+47lizpmQtLFnZctRjU7K84ZDcu+65dKiv0pSaq06jrV4nVKy2x4MQtG1bMrcGd+YdRueUnB4UN+hUq6C/TaPuhCMxKdVoc2hGPXYSaj17mlSESGcD9yU055Rhg7MaQ9MOpmNQWiw52+5wplXel1idSMPgrM7grE48LSjxO5xpyVBdtE5sJ0wymSQYDOZ1gyIxwbVpF+MrOkJAX4PFxXaLYAGVFqix2Y1ZN3eWDDQNzrWanG4yC+7rWzHlobWb9tBaafJcZyZvtBZJaLw14SNjCZ7vSB3h/UipMrpmNt3016fprD7g/Exvuhhb83ChKUXNnoPz8LKbrZjOS50pdA2uzXvwexw6q0xuLrqoC9mE42AIC11zKPFZ1JQ++Ajqbr+oh6mcZD6X9xYKhSgvL6ekpOSxxRX9l//yX3C5XPyzf/bPHsvyT1g/2MDHcRxM07z/Ew+VlJLFxUVWVlb2FT8PU9euXWNgYOCeoORhyrKsffO/kwSgnrTb8kErZ9ZXUVGRF4kRjUZZXl7m1KlTR16TsWB2U2N6Qye7Z5LWVW1Te4xRIUAyC3eWDWY2VD5Va5XDqfp8krHjONy+fRspDMJWA8vxMkBwqsGmv9HO66TAXmr5msZ7E4p0fK7F4Vxr4S5PJAbfumWwuSs402LzfI9T8MT89e+OMpMYAOBHLzs0Vx2QmHOgJ5bS+H/eUsDotQvqInR3JdLwJ2+o0MtPnpW8eOoY0uqC5E++q+5qf/pVjd7mwhvSdiRvD9n81Xs2tgOfvqjzyQv6fY38pJRMLTl8/6bJ4KSF40BDlcZAh86pNoOmGgWaciaVfr+f9vb2+57Ac+AnB4Ry9bhB0OHPFd6RzK85LKw5LKxLltYdsnv3TeUhQVu9hmYu8OkX26gsOX5keFxtbEtG5ySjcw5za2p/KwtC/x4Iaq7hRIDTkSpHbHBajcSSGSVF729VFgYNlfc3S7w1OILt6+b2gpeFTYEQKjj1fLukrfbegae2A5MrKmtuNaLhcUkGWmzOtVpg7RyRZZeXl+93g3ZTGtenDUaXDJDQ12hxqeP4lPedpOC9STdzGwbFXodnOrO0V+ebGq6srjG1GWQ2WonfI3m5N03VXVL5VFbw5oSP7YTGueYMXTVHSc1XZ70sRw2eaz8AOY6ENyd9OFLwcmcSXVPmiVfnvPtBpuPrLnaSytPn2oKLqmKbnRQYwsalmbRU6rgLnWzuU++///4jzXrMOXxHIhG2t7fR9eM7dR+kfuu3fovGxkZ+7ud+7pEs7yHrY+DzIMDnMEm4t7f3gdqMd9fNmzfp7u5+pC3GB1GV5SoSibC2tkZfX76y6FHV7u4uw8PDx3bHdnd3mZ+fZ2BAAYBYGqY3dBbCGrYjqAk5dFbblBcff8JNZBQRcmZDQwItFQ599VZB/ksmk+HmzUGc4m4WY5VkLEG1P87zfS4Cx9x8ReKCt8d0VqNqBPZSr015AWmulDA4p/HOmIbLgE+ftmmtLvy89ycEb45qlAcUiTmXpXWYxLy6LfjyW2pM9pPPObQUWFYkBv/3d2A3CT/xvFL95L+f5PtDkm++L6mtgL/3KW3fiPDu2tqR/OG3TObWJD1Ngi+86qIidO9zRSYruXLb4s1bJqtbDkVeeLbfxQtnXFSXHQUluRFxXV3dQ4csHtcNyh2THwZ/wbYlS5uSmWWHmWWbmWVnf4RXUizoatL2HgcdoZNWPCUZnZUMz6iRmO0oAnN/m+BMu1KJnYR7ZNkwtaxA0NiCsoioCMLZDjjToRLlC9Vh8mx4F25OawzNCpIZQYlfcq7jZF2glYjg+pTO+LL6PrrrHS532lSXSjKZzH7HIZFI7HeDXL5ybs15ub2oug6nmlQH6DgAtBLReGfCTTimU1Ni82JP5sixubKyguM4uINNvHHHSzIjuNCW5VS9eeR8Ytnw7rSX5W0XPbVZzjQe8HpsB74/XkQ8o/FqT2LfqXkrrnNl1rfv7CwlvDfjxWVILjZnWIjoLERcXG5Nc2vRRYXfJpYGl7Ao9dvUlj5g1stePWrgc3flvptIJEI8Hle5bXtjsZPyWAvVr/7qr3LhwgV+6qd+6hGu7QPXx8DnpMAnByoKOQo/TA0NDdHa2npENfFBanNzk4mJCfr7+wmFQid+3c7ODouLi/T39z+S9bi7VldXmZ2dzQv1PFzxeJypqWlq284yva6zvquhCUlDmUNntbMfLVGooknB2IrOwpYGAlorHfrqrGMJntHoDu+NbBE3ukiaBjUhhzrfEiFvtiD5O2vBzVmdoQUVaHq506anrvAILJaCbw/qLIVVYvonB/JT1UERS7+xx+cp92zw9364DLeRHz8xvqzxtSsafh/87RdtKgqIBZc24Y++pw6ov/sqNBaYupqW5M/ektyclJxuE/ytVwRuI/8DSKnUWn/+poWuwRdeMTjfdW8eT9aUvHnL5Nvvm8SSksZqjZfPubjQYxRUeMXjcYaHh+nu7r6v66yUSsIe2XEIRx12Eg6ptCSVUY9MVnWmbFsRlW1HYjsS6Sgpe3GRht8nKC7SKPaJvX8LyoIaocDx472HLSklr39/CF/pKSYWHCYX7H3Dw+oyQW+LRm+rTke9hlFg+x9X6azkzrxkeFoytqBI28W+AxDUVncyEJTOKkL0zSmYW1O/a62Bc53k5a0NDg7S09NzpCNt2TC+JLgxJZjf0NA0SU+D5EKnQ9N9uki7SbgxrcZgWUvQVOlwqdOmtVodS4VM+nyBahZiDUyuKZ7RmRbF6SnEA3YkTKwYXJl0k7XgbKvJ+VYTXTuaZJ6x4J0JL/NbBi2VJi90ZY50dx0JN+YUr+dUfYaBhgO/nmRW8N2xIjyG5NXu5H4H99q8l624zie7E7gN5eszHzZ4pSvFVlxnatPF6YY0Y2suSn0WyawCPm3VAq/r4QD64wY+h0tKSSwW2ydJA5SWllJeXk4wGHygbtAv//Iv8/nPf57XXnvtca3uSeqxAZ/HMyB8xHXSL2xjY4PJyckHBhX3Kl3XH4mUXkrJ9PQ029vbXLp06YENrDRNe2zu1RMTEyQSCS5fvnzszNi0YSnqZcnuZ3bShceQ9NZZtFY4xxIzpVRGhXdWVLyEoSkZe1etUkEVKkfCrcldxtf9mFRR6nZ4tsukvtRhednEcWTe8ydWNK5Oq3yv7jqbyx12wZOulHBnSfDmqI6U8MkBi77Gwt2pzR2VrB5NwKsDNpn1MdzG83nKrffGNd4Y1qkvl3zh+cIAamxRefQEfPD3PlnYlDCRlvyPbznMr8OnLwg+ea7wCCaVkfzRty1GZhw6GwRf/LTrniTbrCl5e9DkW1cU4Olu1vnc827a6o8HSuFwmMnJSQYGBvLUQsm0w9yKzfKGzcqmzfKmzeqmXTBw1NDB51VKKE2oSAlNE3vBpep3OwnJ3KpNMi2xCuzeQqiuTGlIdb7KghrVZRrV5Ro15RrFRQ9+QRJCECrKcum0wQunlXptZVMysWAzNu/w1qDN927YuA3oaNToa9U51aZRFrz3e3ndgnOdgnOdarvfmZcMTUuuj0veuy0JFMHpdsHZDo2me4zDvG640KUe2zG4NQ03J+FP34SvvatGYec7VYZYDnzfvd1PNSsn6K1dhxtTGkMzgtEFg6qQAkADLbJgYG2wSO3vz/XYDM7qXJ/S+V/vuKgMOTzTZdPdACUlJfsijFzHwc4M4yux2TA7uTlTzsiCwYU2kzOtR2XwmoCeeouWKot3x93cmHEzt6HziVNZHMfZP/94DHi1N83Ikosbs26iCY1P9KX3XZ81ARdaMtiO4PayB69L7vN6itySy61p3pos4vaKhzONivTVXZ1hfdfPfMRFZ5VJud9mLuxiO6njNtRy06ballkLBBK3IfE+xIjrSZQQgmAwSDAYpLW1dV8yv7KywtjYGH6/f38sdj/qRiKROPYG+G9CfSQ6PlJKstnjo5yllExOThKLxRgYGHikrphjY2NUVlYeyfB60LIsi6GhIfx+P52dnQ/V3k8mk488Kd40TQYHBykpKbkvf2M3Ba+PunETZ6DFS33p8R48jgMLEY2JVRUF4TEU4OmosfNcWPdfI5XHzvVph5TlJeRzONti01R+0LVZXl7GNM19Sf9KRPDuhDJDrA45PNdVmLwMSqb+nSGd+U2NujKHT5+2CRU4rqWE4XnBdwY1PC74kcs2jRUH6r4cn8d2BN+4oXN7XqO3UcVPFDo/Xh2Hv7oGdWXwdz9RWMIc2ZX8t79y2EnA335FcLq98IZd2XL4va+bbMfgR57XefmsfuzFU0rJ4KTN//puhu1dSVeTzudecNPRcO+T+PLyMisrK5w+fRqPx0M86TCxYDExbzG5YLG4Zu+fFAJFgrpKnbpKnaoyjbKQRnlIoySgUeQVuB6gW2LbNsm0TTxhE0tKYkklZ4/GIBpTyq7IrmR71zkCkPw+QXWZRm2FRmO1TnOtRkO1ft/3vhe5OWNKphYd7szZ3Jl12NpRn7i+UtDfptPfrtNQLU5sDZADQbemlErMslXm15kOwbmukxGjpYT5dbgxqfhAWUsB6Br/Mp95oZrS4L3vYU1LKcKuT2qsbQslT2+VXOpyCmbF5cp24M6ixpUJnUhMo8SvAFBfUz4XznEcYrEYcytxhpdLiWQq8BgWF1uTnOvQC3a75jZ13hxV8veO8g16axPU1FQfec7Kts4bd7w4Ej7Rl6buEKnZkfDWhI+VqM4LHWkayw9EMIOLHmY2XXyiJ0lJkeIKvTvjI2MKXulK4kj47riP1gqLcr/NyIqblvIsKzsaHt1BFzbVQYfK4MMBHyklV69e/dA6Pvdbl0QisT+ytCxrvxsUCoXyrkn/6B/9I37pl36Js2fPnmj5tm1z8eJF6uvr+drXvsbs7Cxf/OIXCYfDXLhwgf/xP/4HbrebTCbDz/7sz3L9+nXKy8v5kz/5k3tZtPxgj7ruBXyy2SxDQ0OEQiE6Ojoeuex8cnKSUChEVVXVQ70+Ho/vj8tqa2sfej0edVJ8br3a29uprq6+/wuA8K7JzPitYy8Ylg0zGzrjqzrJPVVXV41NS2VhwjAcxFEM77kze/U0lzo0WirzOzGrq6tK1VDZxvtTamxW7JU802HTVl14rCUljC4K3rqj40h4vtvhdEvh52ZN+PagxuiiRnOlw+cuOvtA5Z133uHy5cvKcyMj+LN3DZbDgpdO2Tzfm7+uUsJ3bsFbtwVd9ZKfeqmwE/PipuS/f9PBduBnf1ijpabw/nt93OZL37HweeDnPuuitfZ48Lwecfjy6xnuzNnUVWj81KfcdDXd+8KY60gmEgmaWvq4OmpzYyzLzLKNlGrd2xoMupoMOpsMGqp0Av7Hw885jiCtjm3BdkywHrFZCzushx3Wwg4rmw6JlDpd6dqemqtWp71Bp73BoOIuEvODqLrWIw63Z2xGph1mVpTqLeSHgQ6d0506HQ3aicdx6azk9qzk1qRkYkmN/qpL4VyXxrlOcSyf63BlTDUKuzGpRmGakHQ1Ci50qQT5e6nCcjEZ1yZUTIbjQGed5FK3So4/7vQppSJCvzeusx7dO+66LU63HH9sL27YvDlqsJXwUWzs0F+9TEtdEWVlZUc6yxkTvn/Hw8y6QWVxitfOSfx3SeXjacHrt73sJDU+eSpNQ9kB+LFs+N5YEZGExqs9qf04iqwFfz3qJ+B1eKkzhRCwuG0wtOTlubYkZX6Hd6e9+NwObRUmQ8se6kpMIglwaRKXsOiuA/0heWiO43Djxo1Hds5+lGXb9r6BYjQaxev14vf7yWaz9Pb28jM/8zP8h//wH454Kt2rfvM3f5Nr166xu7vL1772NX76p3+aL3zhC3zxi1/kn/yTf8KZM2f4hV/4Bf7Tf/pPDA0N8Z//83/mj//4j/mzP/sz/uRP/uS4xf5gAx9QF/67a2dnh5GRkYeWqp+kZmdn8Xq9DwVaci7RAwMDH5gjZJomN2/efCR3Dw+7XrZtc/XqVZ599tkjv09lYWpdZ2pd8QIqAw49dTa1JfdIfXaUEmxowSCWFniI0V2d5ExnybGvmVva4Payn5VYCS4DzrbY9Dcef+KNxOC7IzorkXt3eUClZ//lNZ3dBDzX6/Bs90Gwqm3bDA8Pk81m0Xx1vD1dT9oU/Mhlh56GwvL4r74HQ7OC8x2Sz1+moGHjxKLkf37bodgL/+Czhf15HCn5+js237lh01Yn+NnPuAj6j1d4fes9k2++l8XQ4fMvunn5nOu+F2Xbthkavs3KdpDZjXJGpixsB5pqdE53uuhrc9FSd/8uyuOqwzEaOSAkpUTX9X2lmJSS7V3J/KrN3KrN/N4j5yQdKhZ0NOp0NBh0NumszN/g8uUHzxtTZGab4SmbO3MOpgVFXhhoVyCop+nkvKBESjI4Lbk16TC7qn7XXAMXujTOdAiKTpAh9r23h8m4+7k5JYin1Dj1fBdc7ILS+xzasRTcmNK4MSlIZASVIcnlbjUGO+6YkhLmNgTvjhksh+8PgKSEsWWdN++4yWShtWyLSmMcl87+2EWNUwVvDW4zHq7DpQte6cvQUnV09pk24VvDvv2xV2P5wd8zFnz7th/Ths+eTux3lmc3Xdxa9HK5NUV9qYVlw7fH/NSFLE43ZBhZdrOd1DjbmGFwyUNFsUkqK9GEpNRr0lT58GwQ0zQZHh7m/PnzD72MD6uSySQjIyP8m3/zb1hbW6O4uJh//s//OV/4whfuO/JaWlri537u5/jlX/5lfvM3f5O/+Iu/oLKykrW1NQzD4N133+VXfuVX+OY3v8lrr73Gr/zKr/Dcc89hWRY1NTVsbm4e17D4GPgcBj5SyiPhlI/T1Gl+fh5d1x+IKH149PYgLtH3KsdxuHLlCs8999xDLyN3Vx+NRjlz5swDr9fdafXRhGB8TXVeHAn1pQ7ddTaV9wg4tGyYWte4vWSQyAiCXpOizCiX+2spKSnMy8paMLygMTin1GN9jQ4XWm28x0w0LRuuTWlcn1aKrRd7bXobCt/NOg5cmRC8M6YR8MHnLtg0VBx83sMk5lvTNt++5calm5wqH6Wp2k1FRQWlpaX7reJ0Fr70fZW5dS+5+q0phy+/IakqUaAnUJT/pKwl+aO/Vt48z/VrfOFl41hDvo1thz/4yzTzqw4Xeg3+1qtugsX3v1Pd2s7wJ19fZnIlRCKtESoWPDvg5oUzHmornz5uQ6FukJSFg1UdKVnddJhatJlasphetInsqn3T67Loa/fS02LQ3aJTVXpyk8dcZU3JnTmHoSmb2zMKZHndqhN0rkunu1m7r61ArrZjitR+Y8JhPaK6Nr3NgvPdgt7m47PYcj4xjhRMLMK1CZhYAqQySLzUA92N9+4CWTbcnhe8P66xHhX4PZILXQ4XO+WxLs05Q8S37ygAFCqSvNxv0V1f+GYnlYV3xtzcXjQI+hxe6Uvilev7aqRgMIhpmvhLGrm1UstWTOdsS5ZLHeYR09PMHvjZLgB+thMa37pdRFOZxXMd6f31fP2Ouj58qjeJEHBz0cNmzOCHehPMbLqYDbu42JxmZMVNwGMqUC0cumocPA9JagZ1zRobG+PMmTMPvYwnUalUis9+9rO88sorvPXWWwSDQT7zmc/w2muv0d/fn3ec/NRP/RT/8l/+S2KxGL/xG7/B7//+7/Pss88yNTUFqHDrz372s4yMjNDf3883vvGN/etpe3s7V65coaKiotCq/GCTm0G1uXMnvNHRUQAuX778gaTqJyld1x/IPNE0TYaGhggGg5w/f/6Rjd5yn/9hy7IshoeHKSoq4sKFCw+1XkIIJIKliMbkms7GroauSdqqHLpqrWMl5rCXBL2qM7qskzZVV6gttEpme4qzF88UzKdRFvgat+bUa+pCKep9C5zrbi34HlKqYNG37+jspgTd9Q4v9trHnrwjMRVPsRIR9DYoF+YcUftuJ+bvDelcm3TRVOnwE8/peIw+tre391V6RUVF+ALVfPt2NeFdwU88LzlzjMn2O7cdvvaOpKVWjbcKxSDEU5L/8hcmi+uSH3tB55VzesHvTErJu8MWX/5OBl2Df/CjHi703B/QhqM2X/t+nHeHLRxZwpkuNy+eddPfcf8O0ZOsHLDJHfeH5fK2be8LAHK+QfVVOvVVOq9cUCg5sqM4S29fW2d22cWNMXVslwYFfW0Gp9oMelqME3Vb3C7BmU6dM506li2ZWHC4NWEzNGVzddTG51Eg6EK3TmfTvcdhpQHBJ88LPnFOsLIF1yccbk5IRmYV+DjXJbjUo1FfeXQZuXOCAkrqEY3D9QkFgv7wdSWvv9QNF7sLB6YaOpxpk5xutZlbF1wZF3x/WOedUcUDer7PoeSum34hoLlK0lRpMrch+P6IwV+87+JGucMnT1vUlB49V/nc8KnTWXrqLb495OYvrhcz0OThhd5aXLpkd3eXiYkJUqsTNLvm8Ab7uDVXpkZb/Zn9bpLHBT98OsVfD/v43h0vPzyQonovE6zU73CqLsvIpHAheAABAABJREFUsoeGMovGMgshoKs6y/V5H5sxnaqgTYnPYSUqyFjK9wggZQpAYtrKULLILT8Q6AHVSX3awkdPUj6fD8uy+D/+j/8DXddZWVnhW9/6Fr/1W7/F7/7u7x45D33ta1+jqqqKCxcu8L3vfe/JrfQD1kcG+IBqxw0ODtLQ0EBDQ8NjjZHIlWEY9yRWH65YLMbw8PAD8WZOWh/ks+a2W3Nz80Onu6dNxd9ZFc+yNOGiyC053WjRXm0fG14IilQ8tqIzuaZj2oK6UodT9VkiK6NYaZNLly7mgVfbgfEVjRuzOsmMoKHM4WK7hW5F2dwsnIIZjsH3byuJenlA8pPPWDRUFAaKjoQbU4K3RjUMHT530aav8XD+z2FTQsFXryg+z4UOh0+eyZG6dSoqKqioqEBKyexyii+/48G0JBfqxgngZne3gkAgsP/dSSl5/YZ69DXDFz+pFRwfbcck/+efm0Rikp/7nMHp9sLg3rQkX/p2hneHLbqadP7+5zyUBu59og1Hbb7yRporI1mQkkundH705QDV5R/8BsKyJeGoTThqs5twSCQl8aRDPOmQSDnEk5JEysG0JC5DpaAf/FRAwu/TCPiVWivgFwT86v+hYh1PAYB4uMtTqBuUu/jkRmJlIY1nB9zo6TUuXmxgY9thfE7Fc1y/Y/L2LdVhaKvX6Ws3GOgwaKi6fzfI0AV9rTp9rTo//WnJ+PweCJq0ef+2TXERnOvSudCj01J7/PKEENRXQn2lzuefU9lh18clV0Ylbw/b1FfC5V7FB/J5xP5rDldJMXzqPLx6FiYW4f0x+M5N+N4t6GuG505BU1V+J1IIaK2RtNZINnccroxpDM4Ibs3onGuTvHDKyQNOQkBrtaS5ymRkXuPN2wb/47tu+ptsXjpl5fkH1Zc7/MzLad4bd3Fz1mBuU+fTp7M0VoQIBALU1dXh9XqJRCK45mPMbjTx/7zl8GJHmJqqElwuFx4DPt2f4uu3ivj2iI/Pn0tSsqf26qvLshw1uDbroSpg4XFBfanF0JJkIeKiKmgT9Kp9I5Y+OFbSpkAjN96W1Jbc8+s+UTmO89hvzB9XHTYbraur4+d//uf5+Z//+bznvf3223z1q1/l61//Oul0mt3dXX7xF3+RaDSKZVkYhsHS0tK+D1h9fT2Li4s0NDTsZz9+EOHQw9ZHZtS1tLT0UP43H7Q2NzeJRqP3jYrI+eCcPn362MDAD1oPE5i6tbXF+Pj4Q203KSEcF0yt6yyGVb6PR0a42B2grvT43C1QMvbRJZ35LXXwNFc6nKq3CXgyDA4OUl5eTmtr65GTtmXDnWWNwXkFeKpDDpc6bOr27h63t7dZXV09YuKYzMD7kxojCxpuA57tcuhvOj4ENRyDb+51edprHH7onHPEPPEw6Jnb0PiLK8qU8LMXHXobCx8Ok8vw5TfVmONnPgFlxSZbW1tsbW0Rj8f3LOYruDJVzrujcKFL8JMvFfanWY84/J9fMUln4R/+qIu2usIfZCfu8F++kmZ2xeG1Z118/gX3PT1isqbkm++m+cbbaRwp6amP8tOfraG26uHGxFlTsrRmMbdiMresHovrFoUcF7xugb9IgZriIgX2TEtiWpKsmfuplplIOQWXARDwa1SW6tRW6tRWGtRWGjRUG1SX5yuGDgOfQuaJ169fzyM327ZkdsXm9rTF7RmLhbW9TkJQMNBhcLrToLvZeCCuk2lJRmcdboxZ3J5xMG0oCwou9upc7NXzTCOPq2RajcKujDqshhXZ/GyHIMgdXvvEqfsCs/AuXB1TnaBUVrlCv9ivgNC9mhI7CXh7VOPWjEAA5ztUByhwjCFixoT3xpUMXtfghT6b8212wfdY3db49qCb7YTgQptFiRyiqfFo0vz0msZ3Rrz4jAwd/pu4NHPfRRojwF/eKsJjwI+cS+6LB6JJjW8OF9FZY3K+Wd0o3Zz3sLjt4nMDcRwJf32nmN6aDEJIpjfd1IVMElmJS3Nw6w59D+fXeaR2d3dZWVmhp6fngy/sQywpJS+99BK3bt16oBvu733ve/zGb/wGX/va1/jbf/tv87f+1t/aJzefPn2af/pP/yn/8T/+R4aHh/fJzX/6p3/Kl770peMW+THHZ2xsjPr6+kcqVT9JhcNhNjY2js2nchxHtWhTKQYGBh5bdgo8GPB5kByw4+rtCYOliI6hS1oqHDqqbW7fevvYdbAdmN/SGF/R2YxpuHRJV61NT53y7cl1xDo6Oo6o5LKWGmkNzauRVm2JChKtKz3Ky9nZ2WFpaYlTp04pw8IZjZszGrYDp5ocnuk6PinetOHKuMb7E6q78KnTCsgcXv7+uMSBt+8YvDcmqAjCTz5nF/TeAXh/HL5xDapLFOgJ3IUjHMchsr3Dn78tmF4P0Fm1yafPmVRWVuTFqCxtKNCjafC//7iLuorCV6SldZv//KdpkhnJ//ZZL+e7773PDU+Z/OFfJdmKOvQ2ZbnYuc7zl/seaF91HMnkgsnV4TRjs1mW1xUBGpSkvLnORUu9i/oqnfISnVCxvg92HgQoSClJZySxpEMscfDY3nXY2rbZiNisblps7x6ovTxuQWONQVOtQXOdi+Y6F001xhGScW5sads26XSa27dvc/78+XtGaezEHUamLIamLO7MWmRNNWrpazM41+NioN3Ad4KRWK7SGcnQtM31OzbjC0od1lgtuNRrcL5HL8jzKrR9ljbhyqgahWUtqKuAZ09pnO8SeAqYUR6urKnUYG/fVh5BZQF4oV+ZI96rcxuNw1ujqgOka3C5W/J8r3Msz247Dq8PGsyu61SGHH7orEV9ef7lxLThzVEXIwsuSjy7fO5ClorSowfRckTjGze9FPskrw3skk6ECYfDxONxpKeOsd0emstNPnHqoDP/3rSXxYjBj52N43HBxq7O21NFPNuepDZk861RP3UhE69LMh82CHhtdM3G0CS1IZuqE6jr7lfb29tsbW19KPmKj7JywGdwcPCBXncY+MzMzPDFL36RSCTCuXPn+J//83/i8XhIp9P8/b//97l58yZlZWX88R//8b2Ctz8GPqZpHpG2flh1L8fkXK7Vw6S+P0ydFPjk8pVcLteJcsCOq8WwRtaCpooDj5pC65DMwPiqGmelTUHQ59Bdq4BS7i5sY2ODqampIx2xeBpGFnTuLGuYtqCh3OFci01taeHdbnd3l5m5BUTgNFenNFJZQUeNw3M9dh4H4XDNbQi+fUsjmlDE6Ff6nSN+Oof5PNGE4C+uGKxuC860OnzqrFPwgmA7CvBcm1By9S+8WDhh27Qkf/QdhzvzypjwuZ4M4fAWm5ubZLNZysvLqaioIJoK8H/9heKF/MJPuo+Nnhibs/gvX0nj8wj+9y94aag6vpWeMSVf+laS79/IUl2u8WLvBs01Ft3d3SfaJ6SUzC5ZvDeU4v3hNJEdB5cB3S1uWhsU0GmpM6goLcw/epyVzjisbtksrposrFrMr5osrFikMmrfcRnQUu+io8lFR5Ob9kYXZSGdWCzGyMgI3d3dBAKBI6ag90qXNy3J+LzF0ITFrQmL3YRE16C7Redct4szXQbBB5D378QlN8Ytrt2xWdpQI5a+Vo1LfQb9bSdThqWzkj/71iyriSZWw2r/u9gjeO6URnXZvV/vODA6D28Nw9KWUqY93wfP9ILvHvdIkRi8Maxxe17D65a80KdI0IWsGnIS+O8MGcRSgoFmm1cHrIJgaWxJ59tDLnxuyY9eyub5ca1ua/zVTa/6+8U0xV6571R8Y0ZjbreGJs9tWqscysvLcfQQ3xgppr8hQ399FtuBrw0W01phcroxw/cmigh4HPwem/VdHUNzKHJbaEIyUO+cyGH7fpVLVz+pJPxpKdu2efXVV7l169aTXpWPgc+TAj7xeJzp6ek8Zv6HIaW/u3Imeve6yKRSKQYHB6mvry8Y7fAo1iEHfLZigjvLOnNbGkioL8vJ2A86KVLK/z975x0n11le/++9d9rubO+9974rrbpkyXKTezcYTDOhhUAggZBC8iMJJJBGQgihY4MxtnHvXbas3rbvarW99za93Pv+/riaVdvZom7i8/n4I1ueuXNn5s57z/s85zmH7u5uJicnqaysxGQyMTEn0dAn0zmq3yhyEjQqMjXiIxafBjvS4eNolwGvZiIlRmNjkXaWiPJUzDjgnSaZ40My0VbBNVUnw0UDCJAeVdVo6pV5s15Pnt6xeuFRdQCXR29tdY1IbCgRbK9auF3g9upuzN3DcMtGifUlpz9IVVWmpqZobLfxSl0SIWaV+7c5yclYOGfnYIuPX7/sISlG5gt3W4haRM8zOKbyk6fsDI1rXLvWSFbUMRIT48jIyFiSpDhcGu8cdPHWfidjUyqKAuX5ZtZVWKguMRNivjIFm0IIxqdVegb9dPR56ezXW3C++YBSiI+0sbYqnsricOKiThdILzYufyo0IegZVDl6zE9du4/xaf16L8hQqCkyUl1oWNZEXQDDExoHW1QOtvqZc+gkZFWRwtpSA2kJi4eoHjhwgNraWnpHYW+TRn2HnheWmyqxoUyiNHvxyI+AMeKuRjjWr5OnNUV6FWixfK+RaXi7XqZzWCY8VLCtQh+DX9Afyw97WhUOdSiEmuCGVX5yks5ey9872EH7bBkev8SOGg9ZCac/ZmRGJz9Ws+D2Na75DYkm4MWjIdjdEhsyerHPjmG325lQVuEW4dxUMYfFbOS947p54fYSJ3s6Q5AlgdWsMeuSMSp+LAaNmFCN9AskORkbG8PhcJCdvfAwxpUKu93O3Xffze7duy/3qXxAfPx+/0WJbFgKLpeLtra20xyTBwcH6evru+ij9Gdi7969rF27NuhufWpqitbWVkpKSoiOjr4o57B7916S8zfQNmRg4kQ7KzdRpThFPavvf2rlqbCwiMFphfoePUDUqAiKUjXK0s9+3qnwq9DcL3O4Q9bH3002rq4OIS02uNma1wf72mUOd0hIEqwt0KjNP9ubJHCjm7VrvHrUQNeITHq84JY16oLTLwCj03q6+qwTbl4L1UE2czan4FevaoxMwj1b9ZiChdAxoPGz531EhcMD13rxOMaZnJxEkiRiY2OJj4/HarXyzlEfv3/TS366wmfusMwLWxfCrqMeHn3FSYhZ4qM7DHjnmsnOzl7ShHN8ys+ru528e8iF2ysoyjaysSaE1aUWrCFXJtlZCj6/oG/Yx5GmKZqPOxmdsc4bHcZHKxTnmijLN1GaaybcKi9qnrhQNUgIweC4xpFWH0fa/IxM6uPc+ekKq0t0ErRco0dVE7T3ahxo0SfD/CqkxEmsLTNQW6xgDTn7Oz8zC8ruFBxoFext1pix60LnDeUya4uX9gUanoR3G6CpR58SW10IW8ohYrFq6qjEm3Uyw1MSyTGCa6pVMoNcZqMzEi8dMjAxJ7Mqz8+WUvW032RdXR2ZOaW8Uh/OhE1iW5mXsozT1/zBKZkXj1jIile5tuJkOOmMQ+K5I6HkJvrZWOBBCEHvqId9vfEkyG1EyiN4QooZcydwS6WNA736D1yRNFQhMCt+ZAnK09QLNtU4MjKC1+slIyPjghzvUmFkZIQvfOELvP7665f7VD4gPpeL+ATaWbW1tWiaRltbG16vl7Kysouq51kIBw4coLq6+qxqgBCC/v5+hoeHqaxceDT8fOH0wPERhaY+FRUz4RaNohQt6FSX2+2mrq6OpORU3IZMGvoUZhy6R0h5hkpR6sItpAC8Pqjvlanv1ltaydEa1ZkuZkaaWLVqYUMwVdNt+Xe3yjg9eltrc+nCQkwhBH6/SmOPxFsNCpoGV5VrrMoLTqiaeuC5vWA2wb1bFg4aBT2C4ucva9ic8JFrZArTFz7g8X6Nn73gIyZC4gt3GE/TeHi9XiYm9JbYofZQjvYkU5Sh8ke3WzEHyf3QNMETb7h4Y7+HkhwD91yt0t+jE+HFhO1jU36eeNXOgUY3sgRrKyzcsMlKVur5+09dCejt7WVycpKKigpkWWFwzE9rl1f/p9OL061/59mpRsryTZQXmMlLN6Io0oqqQUIIhsY1jrT5ONyqkyBZgqJshdoSI1UFxmVrgpxuwZFjKvua/PSPCr3qlquwrkz3BwrEZQQLwdQ0QUuP4L1GQeeg3oqqKZDYVCGTtEQbbGJWrwAdPa5XMlcXwJaK4ARICGjqkXirQcbmlChK07imWiNqgRkPvwo7Gw0c7VJIjNK4da1vvk195MgRKioq0DDw8hEzveMKq3N9rC88PZ29vsfAvuNm1uV7qMw6aTVyoNNE66CRW1e5iLbqGqpnj1pJiFCpzbTR0uejazaRRN8u7KE1hBg1vCKEMLMfi1El1KSRfwGHcQcHBxFCXJCw7EuJzs5OvvWtb/H0009f7lP5gPhcLuITcCuurq6mrq6OhIQEsrKyLrmmAeDw4cOUlpaeRmw0TaOlpQUhBCUlJRd0fFIIGJ6RaB/Wp7oEEqHSFLWFoWTESUEJwszMDHVNxzFEV9A9GYbLKxEbplGZpZGTEHziCvSpkPoembouGY9fIjNeY1WuRkqMwOv10NTUxKpVq846z2OD+nj6jEMiNUawtVwlOUiouBCCsWk/rx810DsukxYnuKlWJTrIMJ6qwRtHYV+rRHq84J7NZ4uYAxiaEPzqFQ2/Bp+4XiYjceEPqb1f4+cv+IiNkPj8GaTnVLy6z8vzu7yUZatsKR1hbnYai8UyP0ofuBZcHsFPn7LT2OFn+xozV1Xa6evVpwzPFFEH4PJoPPe2g1ffc6AoEtesC+XaDaHERF74EVwhBC63YMam4vHqSe1+NaDHkTAa9SR644kRd6NBwmJevM2znNc8fvw4Xq+XkpKSBSulmiboGvDR2O6l8biHzn4fQuiC7cpCM1XFZsrzzVhDFq4GBTNPDFSCDjb7ONTiY3JWrziW5xlYU2qkLG/502GD4xr7m3Q9kMOtT4WtK9NbYe2tS2dBDU8K3mvQONKu54QVZkhsqZTIT1v8852ywTv1OgGSJL0CtLUy+LXv88O+Nok9rfrnsL1SY1X+whuJ40MyLx82IElwc62P7ETBoUOH5gXnmgY7m3XR85o8H+sKffPPFQLeaDDTPaZw0yo3qTH6d+HxwRP7rWTG+dlcpE9z7emwMDancFu1g6EZAwe6Q9hWaOdgrwWzZMdHGNGhHmQJMsJniI4Kv2Bre39/PwaD4byiii4HGhoa+NGPfsRvfvOby30qHxAfVVVXZCR4oSCEYNeuXSiKQlFR0WXxHAjg6NGjFBYWzrfX3G439fX1JCYmkpmZecF+sG4vdI4ptI/I2Fx6yGhekkp+ksqxpoPzWp2F0Nw5QXOfwpyWgCYk0mM1yjNUUmOCV1IAHG6o65Fp6pXx+iWyEzXW5KsknFKoOLX6FkD/BLzTpDAyLREXIdhcopGTtPBrCSHw+TX2temaA4MCV5VpVOcGP7cZu56sPjAhUVsguH4VBOOWx/oFv31Tnyz71A6ZhOggpKdPr/TERemVnrAFWhgAbx708vROL7XFBj56o3m+BO9wOObH5VVVxRway1O7YhiZhA/fEEJW3Mh8hSOYO/e+ehePvGhj1qaxsdrCvTeEE32OYYwBaJpgYMTH8LiPoXE/I+M+hsf9TM34mbFr+HwrW04UGcKtCuFhMtERCvHRBuJiDCTHGUhNMpIcbwxKHjRNo6mpiZCQkBVl+DlcGs0dXo62umlo92BzCGRZF3SvKjFTU2o5Sxt05rj8mZNiQgh6hlQOtvg51OJjziEIMcOqYiPryo3kpi1PHO7361NhexpUjvfrLbXU6Dlu3BJHcZa8pCDX4RbsaxK816hhd0FyLGyplKnKD+4MDfr01zv1+jSYIsO6EthcQVBj0FkHvHhApmtEJjNB4+a12oKbimk7PLPPyMScnnknz+6jtnb1Kb5X8GajiZZ+A1eXe05re3n98PQBXbNz3wbn/GDB/k4TbUNG7l7jxGoWdI4ZOdht4cYKO16/zK7joWzIdXK430J8mB+PVxAe4kfBi2xrx2azERYWNj8yfz6u+729vVgslgvu6XaxsXfvXp588kl+/OMfX+5T+YD4XA7iE2ghHTt2jE2bNgXdOV8qBMJOw8PDmZmZobm5+YKSMacHDnYZ5j174iM0CpNVMuNOJrEvVHXyq7pj8pFOHzZvKEZFUJiiUZK2+LQV6IvfkS6FtkEJoUFusmBV7umEZ/51/H4OHz7M2rVrGZ6C3a0yPWN6XtCmEo3SjMVCFgW9YxqvHZYZn5Pny/Fhi3QFjw3AM3t08eSt66A0M/hjD7ZpPPOeIDFGr/QEy9M61qdXeuKj9EpPMNLzXr2P373mobrQwCduNgfVHYxOevj+Iw5m7IKrywdJibFhNpupqKhYkJy6PBoPPzvH7qNuctKMPHBrOLnp52YR4fcLOvo8tHZ5aOt0c6zbMz9VBRAdoZAUbyAu2kBUuEJkuG5EGGKRUWTmJ5d8foHvhJ+P/g94fbrxoc2uMefQTREnpv3M2U/qbmQZkuIMpCYaSUs0kpVqIifdRFS4oLGxkfj4+PPSV2iaoLPfR12bhyOtHgZH9fUnO9XAqlILq0stpCQYTjxWO+0fIcQ8+TmVBKma4FiPyv4mH0eP+fD6IDFGZkOlToIilymKHp/W2NuksrvOhdtnJCZCYkOFwroyw5Jj8X5V9wR6t05jZEoPXN1cKbOudPFx+Mk53QixoVP3rLq6RhdCLxSHIQTUdUm8cVSPs7m2euENhtcPrx4x0DagEBcywUevDT9tQkzV4IVDZvrGZW5e7SE78eT3Pz4n89R+C1VZPtbm6xUhm0viyYOhVGV6qcr0MeeSeKkhjNpsN3FhKm+1WanOcNE8bCEyxE+I0YciCQqSNEJNzE+KTU5OMjU1BZzMFDvVjHQ56OrqIjw8/JINv1wovP766+zevZt/+7d/u9yn8gHxudTER1VVWltb0TQNm83Gxo0bL9lrB0NTUxPp6enY7faLIq72q/D8USPpMRp5iRpR1rO//lOrTlN2idYBmePDMl5VItTgoSpHpiBFLKrfEQIGJiXqe2S6R3VfkJJ0jepsLWiIKOg3l7d3NzFnqKJzRCbEJFhToFGVvfA4bQBzTsFbddDcJxMeIri2WqMgNfil7fXDa4fh8HGJpGjBPVt0v5MFz0kIXjsoeKdekJ8GH9kuL+gwDMsnPQdbfDz8ooeSHIU/ut0SdDc+NqXy77+x43RrfOGeEJzTLYSEhGA0GpmamkJRTrpLW61Weod8/PdvZxibUrljexi3brOueGxXVQWHml3sPuKgoc01T3TSkowU55opzDaTlmgiKc5AiOXCC6I9Xo3hcT+Doz4GRnwMjPoYGPEyOnHSV8hi0shMMVCcF0Zehn5OEWHn374bHvdzuMXN4Wa9JQaQlmhgTbmFNeWnk6BTLRKEEPNESFGUk7luHsGRNh976n10DKjIEpTlGdhQYaQ8L3gu26nYu+8gluhqdp+oAikyVOYrXFVtICuI+WUAQgiO9Qt2HhF0DulVqM0VMpsqpEXF8yNT8PIB6BzSk+Vv3QCZQYoasw54Yb9M96hMYZrGTWu0sypFQsChDoWdjQoZ8YI71vtOWz+8fnhqn5kpm8zdG9ynjbq/1WSia9TAfRtchIfof/9yfQhun8Ttq5wA/P5gGHmJPnLifbzVZqUkxU3HuIlws5fIEBVZkihPW1hG4fP5mJqaYnJy8rRqUExMzJKech0dHcTExBATE6TnfoXimWeeoaOjg29961uX+1Q+ID6apuHz+ZZ+4AVAYCQ8OTmZjIyM04I5LydaWlrweDxIknTRxNVCLByqGUBdfSNyRAHdE1ZGZ2VkSRAuj1GWASU50Ys+1+eHtkGZhh6ZKbtEiElQlqFRkXX2Yngmhqdgf7tMx7CM2SiozdeoyRGYFqlE+1U42C54r1lC1WBNgcb64sVJ2cAEPL1b1zesL4arqwiaVO3xCh7bqXv0rCmSuHVj8NHhlm6VX77kJzFG4nO3Byc9zV1+fvy0m9xUhc/fZcEUZAc+OaPyvYfteL2Cz99tYmZMJ8Wn6gncbvd8S6z+uMLOujjCQiU+/6EoSnJXJoCfnvXz1n47b+yxMzWrEh2hUFMSQmVxCMU5F4ZYnA+8PsGxzln2HOrDo8UxOAb9w755MpSSYKAw20JxjpnCHDOJsYbzag1PzaocbnZzoMlNe4+uCwqQoHWVFpLiTl5kp5onBmuJjU6q7GnwsbdBb4VFhklsqDCyscpEXNTCBEYIXRcTaP2OTmnsrvdzoEUPTM1Okbl6tYGy3JNi6GDoHRG8dUSjpUcnQFfXyGwsl4K2EoWA1j54cZ9Obmry4fpaTvPHOvWx+9t08bPVDLeu08hOOvvW8vzObo5NFZK+APlxeuB371mQJfjwZvd8a8vmknhsTwi5iX62lekGhm1DBvZ1WLhtlZNoq8ZL9aFEhmoUJft4tz2U/EQPfdNGEsPdKJIgJ14jYhnFfCEEdrt9vhokhCA6OprY2FgiIiLOup6OHTtGYmIiUVFRSx/8CsIjjzyCzWbja1/72uU+lQ+Iz6UiPguNhJ9LVMSFhtfrZc+ePcTGxi6YkHuxYXNB66BCU5+GXzMSGSrIiLbhnWyguqKIiIgg1sboJKK5X6a1Xxcsx0cIKrNV8pPPHjE/FYEE6P3tEn3jMhajIM7Ux+1bU4M6xgae19wLOxth1qFHU1xTvbDOIAC/Cu82wnvNepDj7eshKyn446dtgodf0xibhpvWS6wvCS4UbepSeehlP8lxEp+9zYg1yGRP16DKDx53kRQr86X7QoLuuqfnNP7lYRsOl+Bzd8rMjOktz4UsDIQQPL/Twe9fs5OXLnHzhhk8rimsVut8NWixnWvPoJdn3pjlQIMTVYPKIgvXbQynpiTkgpi8XShMT0/PR7MEDDK9Xo2uAS/Huj20dXk41uPB4dSZUHy0QllBCOUFFsoLLOdF3KbnVA42uTnY6Ka9VydB2akG1leFsLbCcpp26tRq0ELmiQKJxg4/u+t8NHX6QUBxjsLmKhMVBYbTiLWmaRw5coTVq1efdj4er2Bfk8rOI36m5gTxURLbVhtYU6IsKageGBe8ul+jrU8QaYVra2VWFwUn9F4fvF0Hu5v0accbanUStNBPYXgKntmjMGmDzWWCLWWnJ7kfOHCAsOR1vHTQQFqc4K4NvtMqucPTMr/fY6YkXWV7xSkuze1G6nuN3L3ORWy4wOGReGK/ldocD6VpPl5vDsUgCwqSfBzoDiEtxofToxEV6gckKtPPbWhmqWpQa2sraWmnR3C8H/CTn/yEkJAQvvCFL1zuU/mA+Fxs4iOEoLe3l9HR0bNGwpfyz7nYsNlsNDQ0EBYWRlJS0iUTywkBA1MSLf0KfRP6NRhtmaM0TSWESUZHR6iqqlowDkPToGtUb2cNTemVodwkQWWWbjq4GG9TNWgflDjcKTMyrY/Ar87XqMwSHDq4OAntHoG36mFkWiIhUmNruUbOEkMVvWPw/D6YnJOozBHcsJpFidWxfsFjb+vjsvdvl8lPC/5mjrarPPK6n7R4nfQEIzPDEyr/8agLq0Xiq/eHBPV+sTk1vvcrG9M2jU/e5Mdn76S8vByr9eweoaoKHn5ujrcPuNhQZeHTd0ViMEgIIXA4HIyPjzMxMQEw7xkUFhaGJElMzfj53cszvHvQQahFZutaK9duCCc5/sobcR8dHaWnp2dJKwdNEwyO+mjt8tDY7qb5uBuHSydCWalGKgtDqC4JoSDLvKw200KYmlXZ3+Bmb72LnkE9Hbwo28SGagtryixntf8WG5efnhPsbfSzp97HtE2vAm2qMrKp2kR0uIyqqtTV1Z015RiAqgkajqu8eUgfiY+wwtYaAxsrDFgWaWUBdA4KXtqn0jcK8VFw43qZ0qzg5H50Gp7bo5sh5qXCbRtZcKPh9cPLB2Uae2TKMjVuWavNDwscPHiQ2tpaWvplXjxoIDdJ4/Z1/tOmQHe3GjncZeSOtW7S4/TPy+2DX78TSmm6nw2FOiF6Yn8oiREqW4o9vN0agl+TyIzz0TxoJixEJfbEJFdmnEb0BVALnFkNCnyvWVlZJCQkXJYp4HPFf/zHf5Cdnc0DDzxwuU/lA+JzMYlPwGjPYDBQXFx8FsEJ5p9zKTAyMkJXVxeVlZWMjo5isVjOOWF9uXB44NigTNuQgt0tYTHqZoPFqSoDPa04nU5MJhOlpaVnfVYuL7T0yzT2ythcEhEhgrJMjeK0pdtZTg809EjUdcnY3RLRVsGqfI2yjJOVoWDVt74x2NWsG6pFhAo2l6qUZohFqxJuL7xZp8dORFkFN6+F3EU+Wk0TvHlU8PYRXcT8kWvkoNESAHuaVJ582092isSnbzFiCaL9mZrT+PdHXGgCvnp/SNDWhs8v+Ldf2+gdVrn/Wich0nBQEbOmCf738Vn21bu5ZauVu68LC7r4er1eJicnmZiYYHrGQVNPLHsbTWga7NgSwR3XRl6xBob9/f2MjY0tOsEWDPoou5fGdjeNx1y0dXlQNbCGylQWWqgpCaGqOIRw67lVg4bH/eyrd7OnzsXopB7fUlNiYWO1hbJ881narWDmiUJAS7dg11EfLV0qkgQV+QY2Vyu4Z5qD+lqdfL7geL/G6wf8tPdpupanysBV1QbCFhFCCyFo7hG8vFdjbEZ3g75lg0xqfJBJOqEHob56UP/v61bDmmLOCjMWAna3SOxsUMhK1Lhns4bZeJL4ABzplHmz3khFlsp11f75jZJfhd/usqBp8NGr3PPrwitHzUzaZe7f5EKS4LUGC15V4uZqF2+1hCCAqFDBqE0h1OQjOtSPX5NYlXlxLFJ8Ph91dXVYLBacTueKtEGXG//4j//I2rVrufPOOy/3qVw04nNpHfjOAxeLMTudTurr60lPTw9qNKUoCqqqXlLiE/AgsdvtrFmzBoPBgKIoFy22Q9P06k7roF7dEUIiNUZjbb5KVrwumvR6vYyOjhIXF0dpaelpY6cj0xKNvTLHRyQ0TX/u5hKV7ESxaIo7wNgsHO2Uae2X9J1ZgsZ11RrZiYtXhkCv1uxqgt4xCatFcHWlSlW2itEQfHeqT5zAm0f1Mfq1RYKrK1lUL2RzCp7YqXF8EGryJW7bpPvOLHx8wVtHVF7co1KSJfOxHYagj7U7BT98woXHJ/jTDwUnPUIIfvWcg84BlVs3zBJlsVFSUr2gb5OmCX76e5303HN9GLdsXaTHB5hMJpKTk/GKWH7x/DhD437KclVqiyZJiJlkaiIeOe7sUNXLCSEEHR0duFwuqqurz6kaK8sSeRlm8jLM3HFNJE63RuMxF0daXBxtdbHnqBNZhuIcM7XlodSWhxIXvfwlMznewB3XhHH7ditd/T52H3Wzr8HF/gY34VaZDVUWNq8KISPZeOJ89PcQ+E5PHZcvzYHSHBPj0xp7GjT2Nvqoa/cTHZaBHS9ry4MTa0mSKMhQKMhQ6BvReOOgj9f3+9l52M+mSgPbVhsWnEKUJImybIniDIn9rYLXDmj85xMqq4skrl8rE3nGc2RJz/oqSIdnd8ML+/SW831bT4+/kCTYVCoID1F58YDMw28o3L/tdP1TTa6G3eVnf7uBxCiNqhx93TMosK3My9P7LdT3GFiVqw+85CSq9E4YGJuTSYzUiAjV6Bw1IoROyBQZbG4Zk0FgUgR+TSIj5uJFIBmNxhOO9YUYjcb5alBTUxOaps1Pii2kDbrccDqd77v23Erxvqn4CCHwer1LP3AFmJiY4NixY5SWli4qQKurqyM/P3/BdsLFgM/no6GhgYiIiNM8SPr7+9E0jczMReaqV4g5J7QNKbQP627HISZ9FL0wRSXylBLwQu02jw/ah/TqzqRNwmQ4EUORqRG7xO9GE3rW1eEOif4JGYMiKEkX1ORqxAWXC53IK9tAxzDsa9U1QFaLYH2RoCJLxaDo0zPBFpOBCXj5IAxNSqTFCXbUQsoSbgCtvYIn39Xw+OCW9RK1RcGPr2mCZ3apvNegUp0vc/+1wadzPF7Bfz3uYnBM44v3hJCXHryy8MIuF8/udLO+eIYtVSq5ubkLnoMQgl8+PcfOgy7uvCaM27cvTnoCz3ljj52HnpnCGqLwxY/GUl6g36lcLtd8S8zn8xETE0N8fDyRkZErWrBnbbqvz9ikj7EpP2OTPqZm/Hi8Gl6fbmhoUCQURcJg0H1lDIo+8h5ikYkMMxAephAVoRAfrTAz1U1MlInCgvyLcuMIVIMONTk52OBiYFSvNuekm1hTEcr6qlCS4la+EfL7BQ3tHt474uJomwdVhcwUA5trQlhfFbzFeWY1yOcX7G/08OYBNxNzZkLMsL7CxLbVJuKjlyaBI5Mar+33c+SYHhuxsUJhe60xqA0D6CaZbx7WeK9Br8BeWyuzqVxa8PoWAg4fhxf3QogFPrIdUuPOPmbnkMQT78lEh0Fp9CE2ra8+7Ri/322kf0Lio1t9JESdvB09e8DM2KzMJ692YVB088KH3wmlPMPHugIfLYNGDnSauW+dg13tIZgUwZxHIdTkJzxEr5qtybq4mtHDhw9TWVl51hCKz+djenqayclJ5ubmCAsLmydCV0I16Etf+hJ/9Ed/dNl1rXzQ6rqwxCcQnDkxMUFlZeWCGpVT0djYSGZm5qIC3gsFu91OQ0MDOTk5JCWdrq4dGhrC4/Fc0NC75n6ZPccU0uMEhSkqGXHiLF+O0dHR+aDWkZFR7GoUo854OoYlVE03DizPVJccYwe9vdTSL3GkU3dZDg/RyU55plhUVwN6mfuZNzuZ8OcyOac/d30xVGYLJPSdX9AcMxvsrIfGHomwEMG1NVCetfgEm9cveGmfYH+rIDkG7rtaJjGIKWHg8Y+86qexS+OqKoVbNilBp2l8fsH/PuXmeJ/Kp2+zUJEf/IOrb/fyw8cc5KbM8ZHrDaSlpQZ97DNv2nnqDTu3bLVyz/VL79p8fsH//HaCPUedVBZZ+OP744gMX5iA+f1+pqammJiYYHZ2lrCwMOLj488yetM0QXu3m0NNDrr63PQMeJieO72lEBGmEBtlwGyWMBtlZBlUFfyawO/X/1E13d/H5daYs6vzE1oBWMwS6clmMlJMZKSc/DM64sKnxQ+N+TjY6ORAo5OOXn0dykkzsa5KJ0EJsSsnQTaHxr56F7uO6HogRYGaYjNX1YZSlmdatE3r9/tpbm7Gag3DJyXxzlGVo8dUhAYVBQrXrDGTl7705zA2rROgw60qiqy3wLavMQSdOgSYmBU8u0sXQCfGwF1XKWQnL/z4oUl45A29snrbBqjOP/sx3SMSj70rY1FcfPpG02nVIacHfvmGifAQwUe3+ub1Pv0TMk/vt3BtpYfiE6Pozx60oAm4Y42b7jED77RZuH2Vg3fbQ4m2qkzaDcRHejHIgowYleTIixt6ffDgQVavXr3od7CQNuhyV4MefPBB/uZv/oaKiopL/tpn4APiA+DxeM77GH6/n6amJsxmM4WFhcsqkbe0tJCcnHzRgj8DGBsbo6Ojg/Ly8gVLjSMjI9jtdvLy8i7Ya3r94FPBugD3E0LQ2dnJzMwMuYVVdI6aqO9WcXpNmAyCghSNknRBQuTSLamRaajvlmkdkPCrEsnRglV5GgUpYtEIC9DJ0pEOOHAMHB6JxGjBukIozgCEvgMOVuWxOeHdJt11VpZhXRFsKmN+HDYYOocET+3SmJqDzeUS19Uu7m5rcwp++aKP3hHBrZsVrqoKTmQ0TfDL590cbVf56A4z68qCn8zIpMq3fzaH1ezmK/ebSUwI7glypMXN9389w8ZqC5+5Z+mKjNer8W+/HKeuzc2Hboritqsjlj2pFTB6C4zLCyEz5YjheJ+Jo60eZub0G2l6ipnsNDNZaWaSE4wkxBhJiDWu2ONHCMHMrJt9B5oxhSbhU8MYHPXSO+Shb8jLrO0ksYqOUMjPtlCQFUJ+loW8TDOhIRdu3H5i2s/eOif76hx09OkkKC/DxMYaKxuqrUSdgwN2/4iPdw+52H3Uhd0piI2SuWp1KFtrQ846nqqq1NfXExcXR0ZGxvy4/NSsn3eO+Hivzo/TDRlJMttrjawuMS0p1h6f1nh1v59DLSomE2yrMbBtVXARtBB6Ftiz72nM2GBzpcSOdfKCvxGHC363E7qHYVO5rv058zLrHFR5fJeB+CiZj21XT2s7HxuUeW6/kS1lftYWqCdeHx5514JBEdy3UQ8r3ddupLHPyIPbnfSMG3i3zcItNQ7eaLaSEu3H7oHYcBVNk1ib7V1yzTpfBMtRWwyBzUWgGmS1WuddpC9VNejDH/4wP/jBD66EVPkPiA+cP/FxOBw0NDSQmZm5IoHwsWPHiI2NJS5ugVrtBYAQgq6uLqamphaNgxgfH2d6epqCgoKLch6nwu/309jYhF2LZ0bLoHdMQiARa3WRGWNjTWk0xiXWd68fjg3ok10j0xIGRVCcJqjM1khaBoecscOBdl2P4/NL5CQJIrRmbtxWCpw0iFuI9DjcsLcV9rfp+qWafNhSFjxnKACXR/DyAcHBNkFMBNy5WSY3ZfHfX/+Yxi9f9OFww/3XGqjMC/7BaELwyMse9jf7uWOrie21wRczt1fwDz+ZZs6u8rWPWchICV7BGR7383c/nCQ5TuGvPxsb1P9n/tgeje/9bIyWTg9/dG8M29edW09/cNTL069NsfeIDadbYDIKslO8VBUb2bAqhtTk2AuSH+dwOGhsbKSgoGBBQ7iZOT/9w156Bj109rpp73EzPKa3MiQJ0pNNlBWEUpYfQkl+CJHhF0beODblZ+9RB3uOOugZ1MM0y/MtbFplpbYilNAVEjyfX3C01cPOA06aOrwoCqwps3DthlBy0434/X7q6upITU1dcA3TNA2PV2Nvg5e3DnoZnRJER0hcvdrApioTIZbFv4uRSY2X9vioP64RaoEbNxjZWKEEJcQen+DFPRp7mwUpcfCRa5UFo1pUTff8OdAG5dlw52ZOG1X3eDy8c3CIgwN5lGQIbl9/ctRdCHh2v4HuEZkHr/MSceI33Nhr4O0mE/dtdJMYpdE6YODdVjP3b3IyMquwu93CNWUu3jseSny4n1CLnsB+Kao9cG7E51QEpi8nJyeZnJy8ZNWgW2+9lccee4yEhISLcvwV4APiA7q4donzDYqxsTGOHz9OeXn5iltWHR0dhIeHX5Qxcp1gNBISEkJBQcGiFajJyUnGxsYoLi6+4Odx2uvMuHnnyATT/jScPiOhZkFJmkZJuoZtegBVVYPqjISAwUlo6pM5NiDhUyViw3WyU5K+dDtLCL08vv8YtA3oV35pJqwphKRoXeOzbt26eb1DwAQugFkH7GnRK0R+FcqyYFtlcOflk68raOjSW1s2F2wql7hmVXABcwBH2lV+94afsBD41E1G0hKCf39CCB573cN79X5u3GDixo3BPwwhBP/5yAQt3QpfvM9CRUFwxuZXBX//o0nGp1T+8UtxxEYtfnNTVcF3fjxGS6ebL9wfy+ZVS+uAzsTElI9HX5hk5745DAaJTavDWVcdRmVRKAZF99WZmJhgenrhUNWVYGZmhtbWVsrKylYkurQ5VDp63RzvcdPa4aKty4X7hNO0ToRCqCq2Ul4YekFcpgdGvOw+4mT3EQejk35MRona8hC21IZRUWBZse/RyISfN/c5efeQ7pCdmaKQlzTKdZsSSE5e+qakCUFDu5dX9rjpHNAID4XtawxsrjJgMZ+dLn8q+kc1nn3Xx/F+jYxEiXuvMZGeGPwzau7WePxtDZ8fbt8kU1t89mZECHivSZ/6ykrSdT8hJyrNbreb9vZ25pRKdjYo7Fitsir/5Fo/54SfvWaiJF3jhlV6W9vthZ+8HsLaAh9r8/0MTMq8eCSEW1a5mHEpHOg0sybPQ0O/hZgwH1FWFb8qsSH3wmpFg+F8ic+ZuFTVoO3bt/POO+9cCcMMHxAfODfic2q7Jtjo71Lo7u7GbDZf8DHywERZRkYGqanBdRsBzMzMMDg4SGlp6QU9D9CrIr3jEnVdKgNTJkAiLVYXKuckntT9BNMZOT3Q3CfR0CMzbZcwGgRFqfooe0rM4loa0KtDzb1wuANGpyXMRkFNLqwuYH6HB7qn0qpVq+arPIHFdcauT3fVdeqPq8iBjSUQt0Dm15kYmhA8v1ejZ0QPbrxzs0xakJHdAPyq4PndKrvqVXJSJD6+I3jCOujX4ZNve9l52Me1a4zcusW0yNSZ4HcvDvLWUSt3bDNz46bFy1S/f83Gc287+JOPRFFbtjSx+NXTU7z8ro3PfziWrWtWRnq8Po3HX5zi+bemEQJ2XBXFHddFExURvIJyZqhqoHq6nF3r+Pg4XV1di6bMLxd+VdDZ66bpuIvmdietnToRMihQnBdCdYmVmlIrGSnBv5vlQAjB8V4v7x6ys+eoE4dTIzpSYVONla1rrKQlrWwNcnk03t4/xyu75pixm4gMl7l2fSjb1oQGFUOfiY5+P8+946K120+EVeL69QY2VCgYFGmeAJ1JgoQQHG5TeeYdH3YXbKpUuGljcC+qWbvg0Tc1OgcFVfkS92yVF6w8NnbB79+FpBj41A697ex0Ounq6qK0tIzfvSPTMyrxiWtVkk8p7r1RZ6C+W+ZzO7zzDtG/ecdCRIjg1jUexmZlnj4Qwg1VbsZtCi2DRnKTVMZtMknRevUvK1olKeriV3vgwhOfU7FQNehUF+nz8ZzbtGkTR44cuSCV2vPEB8QHVk58fD4fjY2NWK1WCgoKznkx6+vrQ5Ik0tPTz+n5C2FycpK2tjbKysqIjFzG3Rl9sqq7u/uCis5mHbrvTuuAjMMjYZC8lKQLKrLlBQ3IRkZGcDgc5ObmIgT0T0g09EgcH9KFzqmxgvJMPQtrKaEzwMScXp1p6AaPTyIhUlCTD2WZZ+twhBDU19ejqirx8fHEx8cz4zSxuxkae3RyVZOnE56oZdzPbU7BG4f1tlaoBa5bLbG6UFpyZz4+o/HrV/wMjAs2VyrcslFZVP+jCcETb3jZVedj6yojd20LfmNVVZXX3+3gqd3xVBaY+MI91kWv2+O9Xv7xx1NsXhXCp+9a+jp654Cd/3l0khu3hPPxO1aWITQ26eN7Pxmis8/DVWvCuf/WuBWLegNut+Pj49hsNiIiIoiLiyM2Nvas6ZeBgQFGRkaorKy8KFYSPp9Ga6eboy0OjrY46B3UKwHxMQbWVIaxpiKMkvyQRb/bJV/DLzjS7OSdgw7qWl2oGuRnmti2Noz11dZltcJsNhtNTU2UlpbSO2Lm1d0OGtq9GA2wqSaE6zda53PClsLxPj9Pv+3ieJ+fuCiZmzYZWV2sAGJ+bVWU06tBTrfgpT0+3qtTibDCvdeYKMtd+KaoabrP1asHNRKj4WM3KMRHnf35tfXBb9/UzQ4/cg24nHr+YElJCU4P/PQVBUWCz+w4qfeZskn8/HUTm0r8rC/StT5vNJjoGlH4o2tdzDgkHt8byvZyN0PTBsbmFAxGichQP1aLhk+V2Zh7/jrR5eJiEp8zEawaFBMTs+TwzpnYvHkzR48evRLG7D8gPqAvmsv1sVlsOmqlGBwcxOfzkZWVdV7HgZMO0WNjY8uaKDsVDoeD48ePU1VVdV7n4PVDx7AeMDo0JSMhiA21EW8ZZcvqdEyLiHfGxsYYnbTjUnJp6NEns8xGQWmGoDxLI34ZXUSPD1r6oL4LBiclZFlQnAar8iEtbuHq0Kmmbk6nk5bOOQ53hzJmj8Yga1Rm+9lUbiAqbOnfitMteLdBsKdZoKqwrlTimprFgxnhxA74mMaTO3U32Q9fY6AsZ/FdkaYJHn3Nw95GP9trjdx+VXDS4/V62Xugmaf3ZhAWauCvHowgNEi8Beg31b/5rwl8PsG3/zSOEPPiN9HhcR9f+5dhCrPM/NVnE1bkTny0xcG//2IYTYUvfyKJNZUrb4+dCSEEs7OzTExMMDk5icFgmJ8SCwj5y8rKLtnOc2Lax9FmJwcb7NS3OfH6BGGhMqvKrKyrDqO6xIrZdO476Vmbyq7DDt7eZ2dg1IfJKLGuMpSr14VRlGNe8LoIRHFUVFScFkg8OOrn1d0Odh914fNDTYmZm7ZYyc9cupokhKCp08/Tb7noH1VJTVC462ozJTmG035nQoj5SpAsy/SOaDz6qpfhSUFNocJdVwfPnGvv13jkdQ1NgweulylIP/tzO9gGz+6B1YWwrWyOoaHB+TZ+3xg8/KaBrRUqm0pP3oYef8/IlE3iszfo4uSmPoW3Gs18bKsLRYbfvhfKVSUeuseNqBq4/AoZ8R40AdlxKkkRl6bao2kahw8fnjdkvJQ4n2qQEILNmzdTV1f3AfG5UrBc4hNwOw42HbVSnFrlOB+oqkpzczOKoizoEL0U3G43zc3NQS3ql4tHdxmYmNPdiguSffhnGkmKs5KTkxO8EqFB57DE0Q4/A1MmBBJpsTrZKUgVSwqdQc/qOdwBLb3gU/Ux+MocXYcTFqRDc2rKtapJtPZJHDimE6YQk2BVvkp2zDi2mVGcTicxMTHExcURHR191ufr8QreaxLsahB4fVCRK7G9RlpwR3om5hyCJ97209ytkZ0s8dHrjUSHL90O+/XLHg63+rlhvZGbNgYnPQ6Hg7r6Jt5symdsSuKvHowgJX7xD/Wp120885aDP/9ENBWFixNoTRP8w/+M0jvk49+/kbKiyaM3ds/yP4+MkpFi4uufSSEl4eJMl7jdbsbGxujp6UHTNJKTk4mPjycqKuqSx8W4PRp1rQ4O1Ds41GjH5tCwmCVqy8PYuCqc6tJQTMZzOychBJ19Xt7eb2f3UQcutyAlwcD29eFsWW2dzw0LtPkWi+KYs2u8sc/B63ucOFyC/EwjN19lpbLQvGTlUhOCQ80+nn7bxcSMRmmugbu3h5KWqJxmnnjqPUITEm8e0njjgEqIGe7ZbqKqYOFradom+MWLKmMzcP81MpV5Z39erx2CdxtgS5mbzMheCgsL5//fY+/K9I9JfPFWdV4b2NQr8/JhIx/d6iU5RjAyI/P4bgs3r/YQH6Hx2/dC2Vzkob7fTFSYhqpBTLiKqklszr901R6/309DQwM1NYu7al+qcwn4Bs3OzmK1WudF0mduvAPEp76+fsnj9vf387GPfYzR0VEkSeIzn/kMX/7yl5mamuK+++6jp6eHrKwsHn/8caKjoxFC8OUvf5mXXnqJ0NBQfvWrXy31+XxAfGBp4hNwO7bZbOdkYR8MF2Kayu12U1dXR0pKChkZGed0DK/XS319/XnvIrpHJSxGCDPaaGxsIDc3d0HhthAwOgPNfTJtAxIur0SoSSUpbJKrqmOIXUZ1x+2F5j5dezMyLWFUBKWZUJXLktqfAOmZsWsc6ZA50gEOt0RshGBNoX6MU9tpmqbNt1FmZmawWq3Ex8cTHhnH4eMKuxoEDjeUZMK1q2WSYpb+XQkhONSm8cwuPz4/3LhOYUtV8CmXAFwewU+fcdPep3LrFhPXrQ1OFqanp2ltbaNltJj9TYLP3mVldcni5GJg1Mc3fzDJ2nILn7svasn38eY+Gz95bIrP3LeyCa799Xa+9+MhKotD+fpnUrAsUVU6H6iqSkNDA9HR0aSlpc0LpAPf5XJCVS/OeQma2p3sPmJn31HbPAlaWxnG5toIqopDzznby+3R2Fvn5K19dtp7PBgUWFsZSk2hFxNDVFdXLWsd83g13jnk4pVdDiZmNFITDdyy1cracsuS5+bzC94+5OHFXW5cHsGmKhO3bw0hIkz/rheK0hieEDz+pkb/mGBNqcI9VxsX1PO4PDr56RuF+689m/xoAn7/DjR0wfbSQbatPal1HJmGn71iYFOpxtYK7cTx4IcvmlhbqLK5VGXOKfGrt0PYXu4hNkLw7MEQrirxsK/TQkyYSmSYbrVRnOgl/hJVe0Bfq1taWs67On+hcWo1aGpqClVViY6ORlEUkpOTURSF7du3c+TIkSWPNTw8zPDwMDU1NdhsNlatWsUzzzzDr371K2JiYvjGN77BP//zPzM9Pc13v/tdXnrpJX7wgx/w0ksvsX//fr785S+zf//+xV7ig8gKWDy2wuv10tDQQGRkJDU1NRe0TBeIrDhXTE9P09LSclri++U4jwCyEwXj4+M0tLZTUVFxVlXM4YHmXommPpkpm4QiC/KSdaFylGmGwcEhYiOC60OE0B2S67qgtU+v7iRECa6rEZRnLR4AGoBf1TjWr1HXKXF8UEYTUJAKawoFOckLEyZZludvjkIIpmbsvFvnoa5bxavKpMe6uHeLTEHm8lIJR6Y0nnnXT3u/IDtZ4r7tBhKW4Yo7bdP40e/djExpfOxGM2tKg9+4hoeH6e/vZ06Us7/Jx40bLUuSHiEEDz0zh8Ukcf9NS7NPh0vjkednKMk1c/Xa5beoWjpc/PvPh8nNtFx00hMg9UlJqRgtcbR2uBmfNOB0J2AyJuKa8zIyacdT30CIRZCWEktKchzh4eEXvSSvKBKVxVYqi6185kMJOgk6bGPvETvvHLAREaawaXU4m2vDKcy2rOh8LGaZbWvD2LY2jL5hL2/ttbPzgI3dRyA9KQWb6mbzKgXTEi02s0nmug1Wtq8NZX+Dm+ffcfC/j83y9Bt2bt5qZWNVCIYgE4pGg8R16yxsrDTxwi43bx/0cKjFx21bLWxdbUY5JUojQHzSElX+5B6V1w6ovHlQZWBU5cFbTcREnD4pFmKWePBmhZ+/oPLb1/UR9Yrck/9fluCOTTA04WdfRwIbak5q+5KioThd48AxiTWFEGrWp8CSYwR94zKgosj63lwVEnMu/Xkun/4+DUY9qkLTuKSkB3QSfwWIg8+CJEmEhYURFhZGZmbmfDXo0Ucf5Re/+AXp6ekIIRgaGlpymCc5OZnkZD0BOjw8nOLiYgYHB3n22WfZuXMnAB//+MfZunUr3/3ud3n22Wf52Mc+hiRJrFu3jpmZGYaHh+ePcSnxvqr4+P3+BW/8c3NzNDY2kp+ff1G8B2ZnZ+nv76esrGzFz+3v72dwcJCqqqpzGuU9FUII9u7de15W4kIIenp6GB8fp6qqan73LIQe/1DfI9ExJKEJiZQYQUmGRlHqyTH0xQTWM3ZdZNzUqwsRTYYT1Z0cSF7GZJd+DMGBY4K6DoHdrcdRVObo+p+lRtIDcLgF+1t0DY/DDflpsKXcjwU9esHtds+3xBZqo7g8glcPqLxXr2I2wQ1rDWwsl5c1jtw1qPKzZ914fYJP32ahKGvhvUXAPXx2dhZDWDE/eMxFZb6Rz99rDer2HMB7R1z85IlZPnVnBFtrlyZxj700w1Ovz/LdP08mK3V51ZJZm58v/X0vYaEy//S1jPn2y4WCqgnqW+y0dTjp6nPQNziH02Vkxqan3i8HBkUQGS6Ij1FITQohMy2c5EQzKQlm0pLNQW/0Fwo+n8aRFifvHpjjUKMDr0+QHG9k67oItq6NWLHwOzCBOjvnZMaTxWu77fQM+gi3yly3MZwbNocv+3vQNMGRVg/PvWWnZ8hPbJTMrdvC2LxqabH2yITKo686aenyk5ag8IlbQ8lMXvg61jSNpk4fD7/kQ5HhYzcq5KZK8zYTgd+W2yv42Qsq/WPw0WtlynNP/801HJvm8d1RbCyV2LH25N+PzcBPXjZwbbXK2iL9wnirXqG+R+FPb/Xi8cFPXg9lS4kXvyZxuMtIbrLGtEMmKUZDE1Ce4iUm7NISH4fDQU9Pz0WZwL1Y0DSNt956i29+85skJSUxNzfH9u3b2bFjB+vXr1+08tjT08OWLVtoamoiIyODmZkZQL+mo6OjmZmZ4eabb+Yb3/gGmzZtAvSx+e9+97usXr062GE/qPgEw9DQED09PVRWVhIWdv6Cy4VwLpUWTdNobW1FVVVqa2svCPs/352tpmk0NzcjyzKrV69GlmVmnSerO3NOPYm9OkfPvVqolSXL8mntRrcXWvt1wtM/rp9fZoJgfbGgJH3x4M8AVE1wfAAOHxe0D+qLW14K1OQJ8lM5K0IjGMZnBLubBEfaBT4VCtLg6hqZzEQJUIA00tLSUFWVqakpRkZGOHbs2Hz0QmRUDEeOK7y634/DBevKZHasW9y+PwAhBO/V+fn9Wx6iIyT++J4QUoNodALXhqIoxCaV8a+/tpMSr/Dg7UuTHodL49GXbOSmG9myaunx7jm7ykvvzrGuMnTZpAfgoacmcLpU/uEraReU9EzN+Hjt3WleeWeK8Und8C8qXCM1yUpJQQgJsUbiY43Ex5qIjzESGiLj8QrsDhW7U9X/PPHvM3N+RsY9DI242X3YyZt7nPOvYzBAZqqF3MwQcjNCyMm0kJMRckGrVkajzNrKMNZWhuF0qeyrs/P2vjkefX6SR5+fpKwghG3rIlhfHb6kT5AQgra2NgBqqsuRJImr14XT0unhpXfmePK1WZ5/e45ta8O4eWv4kqRKliVWl1pYVWKmod3LM2/a+eXTc7y8y8GHbwynqmhhMTVAUpzCn94fxtE2H4++6uQ7P7dx02YLN222oJxB/mVZpiLfzNceMPLjp1z85FmVj1xvoCJXXyNUVUWSJEwGmU/frPCz51UeeV3j81aJzKSTx0qK9lGUYmdvSzhVebqtBEBCFCRECtoHpXniE2kFvyrh8oKqnajuKIKRGYXIUMHQtEJyrP76Elxy0gPMe4y9nyDLMpmZmRQWFvLkk09is9l46623+O1vf8vu3bv5y7/8ywWfZ7fbueuuu/j+979/lkfeYrmJlxPvK+Jz6geoaRrHjh3D7XbPp5dfLKyU+Hg8Hurr60lISCAzM/OK+OI9Hg91dXV6eTIl/US4qETvmARIZMZrbC7RyE/RfU2CQZZlVFWja1hvZbUP6otPbIRga7mgLEtfmJaDKZvgyHHB0Q6wuSDMIthQLFhdwLKms0Df2R4fhP0tGm19eixFdb7EpjKJxCAaHkVR5sfh9ckiG+/VOdjf7sbhMZMS4+Vj1ynkZSxv4s7jFTz+pof9TX5KcxQ+fpMl6DRWIIA2Li4Oa2Qa3/2VDbNJ4ksfCgsaD3AqnnzNjt2p8fVPRS+rAvXCzjk8XsE9O6KW9V4Aegc97Nw/x23XRJORsrJR2GBoOe7gmVcn2Hd0DlWFyhIr991oxWoapHZ15dIePfFLv4bNodLTP8exjkmOd9kZHHOw+6Cb196dBsCgSORnh1BeZKW0wEppQeiSTsbLRWiIwtXrI7l6fSRjkz527p/j7X1z/ODhUX762BibVodzzYZIChZohWmaRlNTE1br6QMGkiRRmmehNM/CwKiPF96e5Y29Nl7fY2N9VSi3bY8kM2VxMitJEpWFZioK9CiRx16x8R8Pz1CSa+IjN4eTnrQwgZIkiZpiE0XZBh59xcXz77pp7fbz6TusxEaefUNPjJH5s4+E8pOnXTz8ku5KvrVGOU0fpEjwwHWCHz4j88hrKl+5T5mfpNQ0jbX5M/RPhfPcXvjMTScrxHkpgn1tEm6v3iYPC9EJkN0lEdhPmgwwbpOJsgrwCSxGgapBbZZ72d/hhYSmaVdkq2spOByO+QJCeHg4t912G7fddlvQx/t8Pu666y4+8pGPcOeddwKQmJg438IaHh6e78KkpqbS398//9yBgYFl+dddDLyviE8AHo+HhoYGYmNjKSoqugQ9/uUTn9nZWZqamigsLLxoERcrxezsLI2NTcSlldE+Fc1zDRJu34mQzyJBWYa6LLIyY4cjHSaOdpfhPq5PVdXkQVmmWHYry+0VtPZBXaege0R/Tn4K3JgnyE3W5g3VlnxPDsHhY4KDxwQzdrBaYFu1xLoSaVEjwVOh5w1pvLjHwsiUmfQEiXtqNKIts0xMjLNvyENsbOyiaeQ9QyoPveRmYlqwY72RHRtNQas2LpeLhoYGsrOzsYbH8d1f2fB4BV//eAQxC9xMznqtQR9v7ndyzbpQMlOWLqW5PRpv7LGzpjyUtMTlt12eeX0ai1nmzutX5vOzEIQQPPb8OL9+apRwq8Kt18axY2sMkjbJ4OAglZU1F0ysHG5VKC+KprxI19H5/X4mJyfp6B6no9vJ2HQIfSNennzZyeMvjKMoUJQbyuqKcGorw8lKW5k+JxgSYo3ce2Ms9+yIobXTzZt7Ztl10MYbu+dITzZxzcZItq6NICJMOSt3KxjSEo187kNx3HtDFC+9q5Of3UecrC4L4c5rI8ldgqRLkkRNiYWKQjNv73fy1Bt2vvmDSa5dH8qd14QFrUiFWmQevN1Kaa6BR15y8vc/meNjN4WyagEdmjVE4ov3hvDwi26e3ulles7InVfrv4cAAQqTVe7bpvGT5+GJt/18eLuEouhV5BCzxPYaeG4P9I9Bxol5i9wUjT2tBrpHJYrTBWGWE8THLRFy4jQEAqdHJixEJfGEQaFBWTiD8FLg/VjxAb16c6ptwmIQQvDggw9SXFzMV7/61fm/v/XWW3nooYf4xje+wUMPPTRPnG699Vb++7//mw996EPs37+fyMjIy6Lvgfch8QkQi4KCAuLjl7ENvAAwGAzLIj5DQ0P09vZSXV297IvnYmN4eJjm46P0ujex76iCQRbkpwhKMzUy45cOF/X4oO1EK0uvDinEhti5cY2J/FQWrQ4FoGqCjkGo7xK09etREjHhsK1KojpXEGbRF8WlyqKaJmgfgINtenVHE5CbAjvWSJRkLR4ieiqEEDR3a7x+UKV/TBAfJfHxHQYqcgPxF2mkp+stsclJ/Qbd2tpKeHj4vM+MJCm8stfLq/t8RIZJ/Ml9Fgoygv+cZmdn5wXuBlM4//4bO+PTGl++P4y0xKU/RE0TPPTsHBFWmbuuW15L93CzC4dL44Yty5/iUjXB4SY7ayvDCLee347V7dH4/s8H2HVglm3ro/jiJ1IxmyS6u7uZm5ujpqbmou6KDQYDiYmJJCYmsmGtHqo6Pj7O8IiNwVGF4ckwOvr8PPT7UR76/SjxMUZqK3USVFUStqSgeClIkkRJXggleSE8eE887x228ebuOX75+3F+88wE66pCyUocZV1N0rJd4WOiDHz01mhu3x7By7tsvLzLxl/9xwhVRRbuuDaSopzFdYQGReLaDVbWV4Xw+9dsvLbHyb4GNx++MZz1lcGJ37pyMzmpBn72tIP/fdLBtj4/9157tl7IaJD45K0Wot728vZhHwYD3H6VeZ4EKIpCQSZcv9bHy/s0CtJhVYGKx+NBURTKslReOSBzqF2aJz5pcaDIgqFJnfiEniAzLq8+Xg9gd+vHF5LuGu/1SWzMcy3rM70Y+EOo+CyF3bt38+tf/5ry8vL56bXvfOc7fOMb3+Dee+/l5z//OZmZmTz++OMA3Hjjjbz00kvk5eURGhrKL3/5y4v1NpbE+4r4TE5O0tLScsmJhXRixxIMmqbR3t6Oy+Witrb2orbdlgshBB0dHczNzbFxTSVThyRW56sUpYklk8k1DbpHdbJzbEDvp8eEC7aUCUozVdqbWynOWLfk6w9OwNFOQXOPHmkRatadlStzJdJOFMNUdWnSM+cQHDqluhMWApsrdJfluMjl79A1IWjo0AnP8KQgNgLuvdpAbZG84MivoigkJCSQkJCAEIK5uTnGx8c52DDKwc4UJm0WVhVKfOj60EXND8fGxuju7qaqqgohmfn339gZGlf5wj1hFGUtrxJzqNlDZ7+PP7o7ctnBl0dbXYRbZYqyl7/t7ehxY3NorCpbZr8yCNweja9/p5OuPjefujeJO3foX3hbWxtCCCoqKi7pjliSJCIiIoiIiCA3NxePxzMfozEy7mJ4MoKufoW39szw0ttThFhkVleEs2FVBLWV4efdEgsNUbhuUxTXbYqid9DDSzsneWe/jV2+MHYe8bLjqhmuXh+xbIPEMKvCPTdEcdPWCF7fbeOFnXP83Q9GqSi0cO+OKPIzF//Ow0JlPnF7JFtWhfLQs7P872OzvHPQxafuiCAxbuH1KyFG4eufCOept1y8vs9D/4ifz94VRlT46ecsSxJ3bjPh8wveOOAjMUZmffnp1/n21QaOD/h4ca8gOdLG5OQkpaWlGBSNkkyJxm64frVKiFlGkWXiI2FU71iinRC/SxJM2iRAMOuUMZs04iIEmgZWs7bkOncx8X6t+DgcjmV7323atCloksKbb7551t9JksQPf/jD8zq/C4XLf4deAaKjo1mzZs0lZ9LLGaOPjo6msLDworfdAiRssR9VIPg0NDR0frT/3k2LC/yEgOFpaO7RfXccbgmLSVCRDRVZgpRYfaERQl6UBNqcgvouONohGJ8FowJF6bpZYF4K8+JIIQR+vz9oUGJA8HxmdefGtTLFmawoRsDlERxsVdndqDE+I0iIkrj/WgPVBfJZYs1gkCQJ2RjB/g4zexv9RFjh9o12YixDNNT55ltip+ZPBVy6JycnqampweNT+K9H7QyMqnz+Hivl+ctbmVVV8OTrNlITDGysXv5kYEuHm7L8lYVjHml2IEtQVXx+G4vnXp+gs9fNX30xg42rI1FVlcbGRiIiIsjOzr7sujez2UxqaiqpqamUa9q8Z9DY+Bwjk6F0DZipb7Wz68AsJqPEqopwtq2LYk1VOMZzNC4MID5apTq3jzuuKaCpQ+HVXTP85HdjPPr8BDdtjWbH1qhlC8pDLTK3bY/khs3hvLbbzrNvzvI33x+hpiSEe26IJCd9cQKUk27k774Qy86DLh572cZf/ecEd14Txg2brAtuBgyKxL3XhpKdYuBXzzv49s/n+PKHw8+qWkqSxD3bzYzPCH73moe4KJn89JOPkSWJe7YZ+O4jXl7d7+XB26vnW55rilXqOqG5R6I6T0VVVWLCYXBC1wy5vPpxQkyC48MK0VbB4KRCqEVfJ7x+iU15l0fbE8D7teLjdDqxWs9v0/N+wPuK+JzqI3ElwGaz0djYSF5e3kUZo18IgamqYMQnEHyamZm5rPK5y6OPn9d1wtjsCc+eFF23k5dyditroRuWx6e3sBq6BB1DOolKj4fb1kuUZoHFdPI5pzoxn1nlEULo/j/HBfWd+ii61aInpdcWray6AzA6pfFeg8qhNg2PD7KSJHbcoLe0VkIGfH7B7gYfL76nj89eU2vkhg0mLKYwIGleS9Lf339a/tTExAQA1dXVTM8Jvv9bGxMzGp+720plwfJ1Le8ddTE8rvKlj0Yt+7zHp/xMzqgU5axM5NA/7CU5wUjYebS57A6VJ1+eYHVFOBtXR8579KSkpFw2MeNikGV5PuW6oEDgdDoZHx9nW+0cvUPQNWil4ZidvYfnCLMqbK6N5OqNURTnha6YwAVytwJJ80mJsH1DBK0dLp5+fZrfvTjJU69Ncc3GSG67JnrZI/Fmk8wt2yK4dkMYL++y8fzbc/zlv4+wtiKUD90URUpC8OPIssTVa0OpLjbz8LNzPPaKnX0Nbj59V2RQLVltqYnkOJn/fNTOvzxs46sfDTtr5F1RJB681cK/PeLkp8+4+PoDocRFnVy3/K5RsuOgeyIOt89IQOqVlSQTG6FxbEBhbYkBTdMIs+hVY7/fj82hP85k0BiZlkmO0RiZlYmP1T3DUqJ8XO5iy1Kb0ysVdrv9gqQdXOl4XxGfy71LPBWBWIyKioqLNka/EAJC64XaaVNTU7S2ti4ZfCqE3sqq79JbWaomkRwj2LFaUJKxXINBneQ0ntDt+FR9mmtTKVTnLUxSgpGeiVlBQ6fu3TM+q5OtogyozpMpSF9Zdcfj09tZh9pUjg/oqfI1BTKbKhXSE1a2EKmqYF+Tn1f2eZmeExRkKNyz3Uxy3OnHOVVLIoSY/x40TSMsLIzDDcP87q1Q/KrEVz4aRkHG8mvwbo/Gk6/ZyUkzsqpk+SSmtVPf8S6l+TgT41M+4mPOr0fw7GsT2B0qH7srEZfLRX19PXl5eVeM2H8xSJKE1WrFarWSlZVFtc/H5OQko2PjNLa5aOsO4c3dU7y8c4rkBBPXbo7mmk3RxEYv/ZkFcrcqKytPa9VLkkRJfigl+aH0D3t45vVpXts1wyvvznDVmgjuuj6G1GUmulvMMndcE8n1m8J5ceccz789x8EmJzs2h3PPDVGLjtVHRyh86aNRHGr28PCzc/z9jyb51B2RbKxZeOIuLdHAX3winH992M6//8bOnz0QRkbS6etSqEXic3eG8L1fO/nVC26+cn8IiiwxMDDA2NgYd19bwfd+q7LzqMqtmwzzn0davETv6MmsMINBN5UzmUzMufT34PIIPH4JnwrREfq64VOhJNm3rM/qYiLYGn2lw+FwLFtv9n7G+++buYwI9DMD2pna2tqLkhq9GM700Qmgv7+foaEhVq1aFdQoccYO9d16EvqcU29lVedCVY4gcRmG0pom6B6FptFs3nlC4Dqh26nKg4psifQEgk40nUl67C6o69A42iEYntQfk52ka3fKspcODD3r/Y9q7G5SqT+uV3diI2DHOoV1pcqyp7wCUDXBgWY/r+z1MjkryEqWuf96M0WZypLk2+Px0NnZSW5uLsnJyeyps/HIKz6Mip8dqwZRfOHMzsad1hJbDM/vdDBj0/jSR6NWRPzbez2EmCUykld2fY5P+clOPz+jzYY2B0W5ISTE+Kmra6KkpGRRIn4lw2g0kpSURFJSEhXleqjqwOA4ew7N0tCu8fCTo/zm6VFqK8O5fksMqyvCF2wRBXK3ljIyTU828ycfS+LDt8Ty7OvTvPbeLDv3z7G+Ooy7d8SSnbY88htqkbnnhiiu3RjO4y/N8NK7NvbUOfnE7dGsqwreypAkidoyC0XZJv77tzP8+IlZ+kZ83Hv9wu8rLkrhzx4I418etvEfv7Hz5x8LJzXh9GphfLTMfdea+dULHt6r85EVO8zU1BSVlZUoikJNgWBPo8q1tSfH2xOjob5Tt4owmySE0D15FEVhxiFjNQsm7GYkBFMOhcxkXZuYH+dCCBVNW7iFfqnwfm51XcqN/OXCB8RnmZAkCZ/PR1NTE2FhYRc8FmO5OHO0XtM02tra8Pv9rF69+qwfm8+vT2XVdwemsgQ5SbC9SlCwzKmsiVnB0U5BfSfMOUGR4ijNgvKc03U7wRDw8fD4NNr7JY52aLT36/34tHi4aZ1Odpbr3ROA0y04elzjQIs+nWUyQlWezJpiheyUlRtn+fyC/U1+Xj+gE570RJl7rzFTkr004YGTbYyioiLCI6J47DUnb+z3k51q4HN3RxEeEnVaSywyMpL4+HhiYmIWXCTHpvy8vMvBxmoLeRkrG/nu7PWSm7F0UOWZMBgkPN7zayfP2fwkxEo0NzefVd14P0OSJKKiooiKiqKsVLcnaD42ypvvzXK4eZb9R21ER8js2BbLjm2xxETppHNoaIjBwUFqamqWvVGKizby4L0J3HVDDM+/Nc3L78yy54idtVVhfOimWLKWSYCiwhU+c18s29aF8bMnpviPhyZYc9TJg3fFLBpUG26V+dqnovntizZe3uWkf8TPH384CmvI2WQiPlrhzx8I518etvFvv7bxtY+Hkxx3+rFXFRnY0+DnuXfd3LfJxuqaynlisqlC4fAxjeZujdVF+vMSovW1amwG0hP0ak/gJzhpk4iJgJ4xhcgwiIzQSZFfg5wEFVU93TwxUDW6lHg/i5s/0Ph8gHlIksTBgwfJycm5bN4DEDAQ1IlPQDsRGxt7lmB0cAKOnsjK8vr1JPYtZYLKbIhYxnXtdAuaevQR9P5xPVMnLxVuqJWYHjjE5k3rl3W+Pr9Ga6+fxi5o7QWvXxARqld2avKlEwvc8qFqgmN9GgdbNZq69PTl5FiJO7YYWF0kr7hSBCdS2+t9vHXIx6xdkJksc9fVZspzl0d4QN/Rd3Z2UlFRgdsfwr8+bKNzQGX7GjN3XxMY+5XnqweapjE7Ozv/PLPZPG+qaDab0TTBz5+cw2CQuOf6lfXcfX5B77CXm7cuI0X2DORlmDnec37CULfHh9Pppabmwnn0XIkICQlhdVUWq6vA4/Hz9p5hXnt3lt8+O87vnh+jptTMhmqZ+Cj7OY/uR0UYeOD2eO64VidAL7w1w/46O+trwrjvxlgyU5dHgPIzzXznK0m8sHOOJ16Z4asdbj5+ezRbVluDXuMGReJjt0aQkWzgoROtr699Moa46LPfR0KMwp99NJzvPWzjvx+z880/ijhN2wdQmzfC8f44uqbyWHMKKUhPkAgxQ8fgSeITfaLoMHfCjNvn1zdpmqbHWBSmC44Py0SF61VnVYMNeR6MRiNGo3E+XT6w6Qr8u6IoQQcqLiTerxWflYyzv5/xviI+l0vjMz4+jt1up6qq6rLrFAIC76WE1Qfa4fgQFKdDZbYgPX5pg0GfKmjv18nO8UF9MUmIgutWSVTmMN8y2jO0eJiSXxV0DGo0dGg09QjcXj1csCpPoiJHIjuZFVUiNE3QMyyo79SoO65ic+qi5w3lCrXFMqlx52aLPjat8V6dj31NPpxuyE9XeGCHkcJltLRORX9/P6Ojo1RVV7O3QfDkW7MAfOZOK7WlC9/4ZVkmOjp6PrTW4XAwMTFBY2MjmqbROZpEa5eJT90ZQUzkyhZQl1tDVVnx8wDys0PYX+/A5lBX7OMTmGKLCvMzYw+95G3gywmz2cAN29K5YVs6gyNunn1tlLd2z3KoUSIhVubank6u35pITPTyWpxnIsyq8OFb4rj56mief3OaF96eYd9RO5tXh/PhW2JJil+aYCqKxG3bI1ldFsr//m6S//ntJPvqnHz2Q7FEhQf/rrfWhpIUZ+D7D0/z9z+a5M8/Gb1gCzUpTuGzd1n5t4ftPPG6kwdu0ndYQgiOHTtGVKhgU6WR3fV+rl2rzTtAy7JEbopMx8DJSmNIwKvHIwAJh1u3sRib1QXM+vMg/kSL3iBDzCn361OrPAuly1/satD7Wdz8AfG5AiFJUlDvgAuNQJDk5OQksbGx5x0yeiEgyzKTk5OMjY0tKqzeXgU31S6dlaVpgp5RaOgWtPSA2wfhIbC2CKpyJRKjFyacAe+dAFRN0DGgt55aejXcXj1luSQLKnNl8lKXbomddl5C0DUoqO9QaejUsDn1HV9xpszqIpniLHlFoudTz7OxQ2VXnY9jvSqyDJV5CltXmchNW/mNvr29Ha/XS3J6Bf/5qIeOfj8lOQYeuCmUuKjlHy8gqM3MzGRgxM2Pn58mK9mDyVdPa2sU8fHxREdHL2sXGZCAreTzDqAgS7/Gj/e4qSldfsk7cHNTVZUbr0nn+z8f5HCjndUVf/gTImciJdHMtlonm6qNDE8l8tzrEzzynIdnXu+lutjH1etDyMkK3uJcDOFWhftv1QnQs29M8cJbM+w5YuO6zVHcsyOGqIill/TURCPf+pNEXt5l49EXpvna94b43IdiWVUavCVZlG3ibz4bw7/+appv/3iKrz8YTW762WSrMNPIdevNvLrXQ2WBifI8A62trRgMBvLz80lKE+yu97O73setW05Wq/LSJZq6YWpOEBMhnUJ89D+nbPrwhN6uh4k5mdgIMBr0ivY1JcGrlKeaJwLz1aDAn4EK+pnBqueD92ury+l0fjDV9X8Zfr+fpqYmzGYzq1atoqWlZcVBpRcaARM9n89HbW3tom2EiCVkFeMzgsPHBY3dek6WyQDFGbq5YE7S4hWZU0fqB8Z1slPXoWF3QYgJSrMkSjIFeakSphV4ngghGBgX1B3XONquMmPXF7biTJnKPJ3snFk+X+5x+0Y1Drf6OdTqZ84hiA6XuHmTifXlBiLDVr5AqapKU1MTsiGMttF03nregcko8clbQ1lfYTrn6qTLo/HD39kxGWX+9ONpRIWnMzMzw/j4OMePHyc0NJS4uDji4+ODfv/qCYc3+Rwq7XmZFgwKNLQ5l018VFWlubmZ0NBQCgsLKVAFjzw9xhMvjv+fIz6n5m4VFeVQIUlctyWahjYHz742we6jNvbWq9SUjFFT3EV6smn++1zJxioiTOGB2+O5aWs0j700ySvvzvDW3lnu2RHLbddELyhEPhWyLHHTVRFUFFj4r99M8L2fjXPdxjA+fntM0FT7tCQj3/xcLN/5yRT/+stp/vbzsSTHn30LuW1rCE2dfn71vIMPbRkkNtoyn0EWHS5RmKlwuM3PLZtP/k6yk2VApX9MIyZCQZxiUujzw8Qs5KdC+6BMTLhg1qVQEK/rBGND1fnoiuVgqWqQ3+8/75bY+7nV9YHG5/8oAl44GRkZ874j55LQfiERuNGqqkp2dvY5aSc8Pt1F+UiHoG9M1+0UpEFFjkRBGpiCLHinQgiBzRPKKwdUGrtVpub09PTiTInqfJn8VA1FBkmSl33zH57UTpAdjYlZgSxDYbrMLRtlSrJlzMZzIxFTsxp7m3wcavEzPqOPtpfkKKwvN1Kao5xTRQT0ya3DRxrpm05nT5MZt8fDugoTd28PIeIcSFQAmib4yROzDI35+dqnoudbVTExMcTExCCEmG+J1dfXA8zfNK3Wk1qN86n4hFhkVpeH8equGW69JpqYyMWXCJ/PR319PUlJSaSlpQF6bMHt18fx00eHqWuxU1Xyh186B4LmbkmSRGVxGJXFYQyNenj2tUle3zXFwcZQaspCuarWx+hoM6rqJzY2lri4uKDZcGciJsrA5+9P5LZronnoqXF+/cwEe4/a+OIDScvS/6Qnm/jOV5J59MVpXtxpY2DUx9ceTAjqDh4bpfD1B6P51v9M8v1f6+TnTMGz0SDxqVtD+Mef2zjUEcsXPpR02v9fVWzgNy976BnWyE7Rr/HAYIPthKZn9oRXT0QoDEzo0RQxYYJDHRKpcWAN01tdbq/EutJzH19frBoU+PdT//9yidD7teLzgcbnCsXFbnVNTk7S1tZGaWkpUVFR839/OYmP2+2mrq6O1NRUIiMjV/T+A6aAR05Ud7x+iIvQdTtVuRAWsryb4+i0oKFTo6FTY3S6CFkS5KXKbK+RKc2WCTHpOyVYenHQhKB/VM/LauzSGJ3SM8Py0ySuXmWgPEfGuszzOhNOt6Cu3c/hVj/tffr3lZ+hcO1aA1UFhqCp6cvF+KSNZ98YpGUgB5tTojLfwB1Xh5w1wnsueOoNO4ebPdx/UzhleWfftCRJIiwsjLCwMLKysvB6vUxMTNDZ2YnT6SQ6Opr4+Hg8Pn3hOpdWIMADd8RxqNHOI89O8CcfSwr6OLfbTX19PdnZ2WfpzG7YGsOLb03y7z/p51+/mUtC7B+uyBl0AlhXV0daWtqiww8piWY+/0AKH7kjgRffnOS5NyY50qRSmBPJ3TfGEh7uPS0bLi4ujtjY2CX1UikJJv7yc6nsPmzjJ78b48//uY97b4zhjutilrwOjAaJj90WQ3aaiR/9dpK//+Eof/XZhKDu0YmxBr700Wi++7Mp/ufRGb768dMrTKqqMjHcyKqCNI4eNzNj006LtajMN/C71zwcbvXPEx/TiTuR16+vbTN2/b+jwiQ6hkGSBLMuGRBM2RUyUmU8PkFJiveCmhWeWQ06lQAF2vvLaYm9Xys+fr8fs/kyJbteQrzviM/FQkCYOTo6uqAXzuUiPjMzMzQ3N1NcXExMTAx9fX3LOg+7S4+OOHL8RHSEAcqyoCZfIiN+eULxiVm9jaWTHYEEZCVLrMoc4uq1icTH6D8QVVXx+892Yj4VAQ1QY6dKU7fGnEOvOOWkSmwsN1CZJ6/YbycAj1fQ0OHncJuf1m4VVYP4KIkbNhhZX2ZcVvL5UhieUHl51yyHWgU+NZH8DAOf3xZC/iLBpCvBM2/aee5tB1etDuH6jcsb/zaZTKSkpJCSkoJ2InZhfHycts5uIB6nYxqv17ji6mBKgombr47mmden2XFVFHmZZ7dgAqP7xcXFp20QArCYZf7qixn8xXe6+OvvdfPdv8yZH+/+Q0OAAObk5Cw7ODkizMCHb0vkzh3xvPHeNE++PM63/3uA7HQLH7o1jfVrwrHbbUxMTNDX14eiKPOxKKGhwR2jN64Kp6wghJ89Ns5vn5tkf52dP/1kMmnLMEDcvCqMsBCFf//VOH/7XyP8zecTiYte+Pouyjbx8dsj+MVTc/zuZRsfuVmfIPT7/dTX15OcnMwdWbEcPjbHzkMebt920gQxxCyRl67QMXByHQvwOu+J4s20XSdAUWHQMwrJ0dDWr7fKrGESigyaCvlJF8/Jf6GW2JlkKJhA+v0qbv6/gg+ID/qNu6WlRTfvqq1d8IK9HMRnobR3RVHw+RYu7aqa7qZ85Ljg2Ck+ObetlyjLZlktI6dHr+wcPqbRO6qTnexkids2KZRly0RaJerqZgg1xy8aPxE4n84TAuXGTl0DZDJCUYZMWY6u2bGeYwVmxq7R3KnS1OWnrUfF54eocImtq4ysKjKQnrj8Vlsw+PyCpg4f7xzx0NzpR5ZgdYmRa9bpWUUXAkIInnrDzrNvOdhUY+GTd5zb1M+psQuhkR4efWMEm9033xILjMovdtM8FffsiGHn/jl+8rsxvv1n6RhPaYNOTU3R3t5ORUXFonqA7PQQ/t9Xs/jmv/bwN//SzXf+ImdZ4tv3ExwOB42NjRQWFs5P6K0EZpPMTVfHcv2WGN7ZP8Njz4/xTz/sIzfTwmc/kkJpQe5poarHjx/H7XYTHR1NXFwc0dHRZ61XkeEG/uzTyWyoCeNHvx3lz77Tyyfvjuf6zUu3z6pLQvjrzyXw3Z+O8bf/NcLffiGRpPiFCevW2lAGRvy8uttJZZGZwkyZuro60tPTSUrSK4UVBUbeOeLhxk0WTKesP7GREv2jp/qR6X8qJ97K2LS+Vsiy3uoqy5JoH5IIs8qEW2U0DbYUXLo8rpUKpN+PxEcIcckGhy43/rBWoXNAYLeWnJxMenp60IXhUhKfwLSQ0+k8K+1dURTc7rN/8K19ghf2CWwufdR7XbFe3UmIWvom51cFrb2Co8dVWnuFPsYeDTvWKtTky0SeYSwY8BJaiPQEKjsBsuNw6wtYSZZM1QmBsnEZWqKFMD6tceSYn7p2P/2j+koZEyGxvlwnO9mpclDn6JVgcExl11EPexu8ON2CsBCNtYVz3HV9GtGRF65q4VcFv3vJxmt7nFy1OoRP3hGxYsPBhZCWaCLELDHtjOCu2uwFb5rx8fFERUUFXZxDQxQ+fW8C//qzYf7rVyP86aeSUGSJkZER+vr6qK6uXlZJvCTfyt9+OZP/9x89/Om3OvibP8kkL2vhCIT3G+bm5mhubp7P3TofGAwS2zdGs3V9FO/sm+Hh34/y9e90cc2maD55bxJRESdDVU+t7rW3t88L3uPi4k77TtbXhFOYG8IPHhrhx4+OcaTJwR8/kEhk+OLLflGOhb/7YhL/+KNR/uFHo3zrT5KCVn7uvSGcwy1uHnt5jpvXdJOTk31a1evatWbq230cbPayserkuUWHyzhc4PUJTEYJz4m9nPlEYWp4UpASAx1DEkJIOD0SFrNEwom4GItBI+Yy6uYXE0gHyJDf778s5onniyspGupi4X1HfC7klzI9PU1LS8t8G2kxKIqCx+O5YK8dDIFScUREBFVVVWe932CRFRGhkBwLN+frQuWlhK2a0L1xAq0sl1f3ydhQJlOdv7g3jizL+P3+edLj9UFbn0pzlz7K7jxBdkqz9Gmsokz5tN3eciGEYGBMo+G4n4YOlcFx/X1np8jcusVEWY5Cctz5V3YAHC6NunYf7x310NGvoshQXWggJWqYvDQoKsy/oNfe1KzKDx+d4Xivj+s3hvLhG8MvCOkBfWInM8VE/5B+Nzk1iVxVVaanpxkdHeXYsWNYrVbi4+OJi4s7S0eycVU441M+HnpqAmuozA0bXExNTVFTU7OiHKLKkjC+99e5fPu/evnatzv50idT2bZh5dWRKwnBcrfOF4oscfWGaDasiuR3z43x1Cvj7D0yy8fvTuKGrTEosnRade9UwXvAAyrQEgsPDycm0sA3v5jKiztnePjpCb7yj7389RdSyV2gfXkqslJN/M3nE/nWf4/wr78Y5++/lLTgb9hklLh1q4VfPuPE5s8+q9VXkGkgKlyipdt/BvHRjzVtEyTGSHi8+t+bjRKapsfYrCqUaOuH8BDBwKRMdKSE2SiharC94uKvxcvFqdUgTdNoaGggJSUFSZLmCVDg/18K88Rzhd/vf1/mi50L/m+8ywUwMDDAwMAANTU1hIQsvQO9FBUfh8MxrxUIlIqXex6pcRIf3b50dMTI1Mnx8xm7Liosy5GpyZfJTZWWFT8RERFBfWMb054UBmdi6Bk14Fch1AIlmTJluSfIzjlUdnx+QceASmOHSmOHn2mbLnzOSZG5Y6uJ6kIDMREXZuGYc2jUHfNxpM1LW7dfr3TFyNx9TQiriyW6OxpJTEwkPT39grxeAI3tHv738Rl8PvjChyNZV3HhKyCpiUYONDrP+ntFUearA0II7HY7Y2NjHD16FFmW50lQoIV1+7UxzNlVnn5tGrdT5UufqjqnhTs/K4Tv/788/umHffzrTwY43uPiE3cnYTJdmTeBxRDI3Vpu1etcYDHLfOKeJK7eEMX//HqI/3l4iDffm+ZLn0ojK+0kaTlT8O47Eara19c3H4sSFxfHji0xlBeE8k//O8jffn+Ab/5JKkU5i193WakmvviROL7383F+9dQUn7kv9qzHuFwuzFoLyfHZvLIHtq4Vp43DS5JEZrKB/hH/ac8LDBm4vXprxenW/wwxwci0PoQRHwVv1kFyrMy0UyYhVm8zZUT7MF6BumFN02hsbCQ6OprMzMz5v1toXD5QCbqSSND/lVF2+D9IfALZVgEvnOUq7y828QlMk5WXlxMRETxqIFjFZzG4PCcyrVo1hib1cfGCNIkda2VKs5ZfjXG6/DR1q9R3xNPWG4dfhXCLj+y4UXKTPJTmhpGQEIdxhavSxIxGU6ef1h6V4/0qXt8J/54shRs3GijLNZyz8PlUCCEYGtdo7fZxtM3H8X4/QughitesNVNdZCInVcHpdM67Yl9Ip+7JGZXHX7Gxt95NaqKBL30kakEflAuBlEQjtn0ac3Y16HSOJEmEh4cTHh5Obm4ubrebiYkJ2tvb8Xg8xMTEEBsbS2XOMINlFt45rGAOGefT9yWcU7syKsLAt7+WzU8fHebZ1yY5WG/jix9PpfJ9NO5+Lrlb54OMVAv/9BfZ7Nw7w08eHebLf9fBPTfHc9/N8RgX8Mg6NVRVCDEfi9Ld3Y3RaOQLH4rlfx+Hb/3XAH/9hVTKChavVq0qC+X2ayJ45o05ygosbKg+eWMM6JtKS4qxRlv4t4em2X3UxVW1px8zI0mhod03HzgKzE9iiRNL2cC4TnwSYySOdghkSXdoVjWJGYdEfKyMooDPB6tzTidRVwIClZ5TSQ9cHvPEc4Xdbv+A+FypOJ92g8fjob6+nvj4eIqLi1d0rItFfIQQ9PX1MTIywurVq5fcQS73PIQQ9I4I9rdqNHRp+Px6Vej2TQqVucsfF/f6BM3dKkfb/bT06MeJsML6MoXqfJnMJBNgxW63Mz4+ztGjR1EUZV5Mu1A1TQjB0IRGY4dKXbufgTF99YuPklhXZqQ4S6EwUzmn9tiZ0DRBR7+fI20+6o75mJzVXyslXuamTRZqioykJZ6MqJienqatre2C6DYC8HgFL75r56V3HQgBt26zcsvWsPmbwMVAIFLgWLeH2vLltWIsFgtpaWmkpaWhqipjY2M0NzcjhOCmzbFER4bx6nuz9A97+fpnks9JqGwwSHz+gRTWVYfzw4eH+KvvdbN9YxQPfih5Se3J5UZvb+98q+9SjipLksS2DdHUlIfz098O8+izY7x3cJYvfyqV4rzFk9YDoaqgV2cmJib48PXTPPy8iW/91wB/+vFI1q+KX/SGe+8NUTS1u/nFk1OU5VuICFOw2+00NjbO/04qIgQJMQqHWzwLEh8B9I+q5KWf/h0HpLQ9IxqhFoiLgoZOQU4K1HXqYaQ+TSYyQhc0r825clpcAQRIT0xMzGn+TQthOVEal4sE/V/x8IH3IfE5V8zOztLU1ERhYeE57eIvBvHRNI2WlhaEEEGnyc7EqSGlC8HhFhxp19jfqjI2rcdG1BTIrC2WSYtf3g/J7dHJTn2HSmuPitev63/WFMtU5evJ52eKiAOVg5ycHNxuN+Pj47S2tuLz+XRDtqh4hqdDaOlWaepSmZ7Tl7xAC6siz0B89AVqYdk1Wnv8tHb7aGj3YXMKDAqU5Bi5abOFkmwDsQvESQwPD9Pf3091dfUFiSeZs2vsOuzk9b1OpmY11lZYuO+G8AVDHi80SvMsRIbLvHPQvmzicyp8Ph/9/f0UFhaSkJDA3NwcoaHjmBU7L+0WfPXbXfz5pxMpyY88p/OrLgvnh/+Yz++eG+PJl8c5WG/jI7cnsmNbzJKuw5caQgg6OztxuVxUVlZetl15ZLiBP/9sOlvXR/HfDw3y9W938eHbEvjQrQnL0oeFhISQnp5Oeno6ZaVevvkfffzXr2cYHekjP8sy7xl0pv2Bokh87kOx/MW/DfPrZ6d54BYTzc3Np031SZJEeYGZ94648PtPb3clxOjX+/TcyUr1nEP//Qd8xLqHBFlJMv1jEtN2QUm2xOEOiYgwmZREBVkChEZa7MUbXz8XrIT0nImLZZ54rviA+PyBITAWXlVVdc6lvAtNfLxeL3V1dSQkJJCZmbns6lNAQHcqhBB0D+vVncYuDb8KGQkS92yVqchdnvOxz6+TnYOtKm29Kn5VF0yvLpYpz5HIS5VRlOX98CwWC+np6VjCUmnu8vL8fjfdw6BqHgyKRl6q4Pq1IZTnnVtcxJlwugXtvT7aTpCdoRMi6FCLRFmugeoiE2W5RixBktsDmWyzs7MrFu4udKz2Hh9v7XdysMmNX4WibCOf/1AUhVmXzsRPUSQ2rbLyyi7bou2uhWC32+c3CYER7cjISCIjI8nLg3Wr5/jeT0f55vdH2FDRzU1XhZKUlLBst+EAzCaZj9+dxFXrovjxI0P86DdDvPDWJA/el8TqivArYrpECEFrayuyLFNWVnZFnNPqinD+5x/z+dGvh3jkmTH6hzx89Y/SFmx9BUNMlIl/+GoWf/Uv/Tz9TjTfLI3F5ZoO6gienmxix+YIXnxnjtyEbq7aVHVWNbcs38Sb+5x09Pkoyjl5rQf0PA73yVHp4QkNgwIxkRLjM4LxGcHGCpmDbQKTEQYnZcJCAEnGaJTwq3DjFSRoBp2oBJy6L4QOcDHzRLj41SC73X5BhfpXMt53xGclC89iY+ErxYUkPjabjYaGBgoKCpZteBbAqRUfh1tw+JjGgVaVsRmwmGBNkczaEpnk2KV/GEIIuoY0Drb6qWtXcXkh0iqxscJAZa5MeoIuLF7MmPDM4w2MadQf1483MqkTkLhII5urDBRny8SH25iaHGN6epreruATRYtBE4L+EZXmTh/NXX46+3VhsskAeRkG1pWbKc42kJGkLLkT1jSN1tZWFEU55928pgm6B300tnvZ3+hmcNRPqEXi6rWhbFsbSmrC5fmZXVUbxos7bew+4mDHluC6sVMRaPWVl5cH3f0V50fwn39r5aePjfHeIYneUYXbrhok1NRKRETEfOVgub+3rDQL3/l6NvvrbPz8d8P8v//opbo0jE/dl0ROxuUbfT81dyuQNXWlIDRE4at/pAudf/H4CNNzfr75pUysocsnuDGRBv7uy6n8xXf7+PHv5vjnr2eTk5Mz7wje1dWFw+EgKkoPyd1QqfHyLkHXeCY3LNDCLskxIUnQ0uk5jfgErGFO/SkOTWgkxcooskRLj67ZyU2Ref2wID9NontMwhoikxBnQAiJpHAflivI/1JVVRoaGi4Y6TkTwcwTTyVBFzpd/oOKzx8AAhlCUVFRC46FrxQXiviMjo7S2dl5ztWnQMVnZ53Kawf1ykxGol7dqcxdnlB5fEYnO4daVSbnBCYDVOYrrC4yUJAuI0RwU8IzoaqCzkF9Cquhw8/k7In4iXSFTZUmSnIMxEedepwYEuJj5ieKlqsLmprTRcnNnT5au/3Ynfpqmp6ocO06M2W5RnLSDCsS3fp8vvnFKyMjY0XXiKYJ2rq97G9wc6jZg82hIUmQm27kwbsiWFcRclE1PMtBZoqJrFQj7x5aHvEZGxuju7t7Wa2+iDCFP3tQN8n78aNj/O8TRu68Pp/teQpzs5P09PRgNBrnie1Sk5OSJLGuOoJV5WG89NYUv312jC/9XQdXrY3ko3cmkZxwaSMv/H7/adfGlQhJkrjrxniiowx8/+cD/PW/dPMPf55NuHX55Cc53sQffzSJf/7xEE+8PMn9t8Sd5Qg+MzNDX18fk5OTlGansbdO4v6bnERFnl4dCLHIxEcrDI2fvk76TsRQGE6cVmDIoDhL/4uWbo3EGIneUfCr4PTJhFokQkIUTEb9t7ah4NzzuC40LjbpOROntsSMRuNpERoXUiDtdDo/ID7vZ9hsNhobG8nNzSUxMfGCHPN8iU9AJzAzM0Ntbe05T4QEKj5xkRKrCmXWl8ikxC19odtdgqPtOtnpGdGQgPwMmR3rjVTkKphN0pJOzAE4XIKWbj+NnSqt3X5cHn1RK8xUuGH98qawTp0oWkgXZLTEM+GIoX/MQEe/ysSMXj2KsEqU5RopzTVQkm0851BQl8tFQ0PDgjlTC0EIwciEyrEeL8e6vTR1eJm1aZiMEtXFZqqLzJTlm88rpPRiYEttGA8/M83RFhfVJcHJR39/P2NjYyueVlpfHU5pfig/f3yMx1+a4u19Bj55VyLr1uSe9Z0G/GUiIoK7UxsNMrddF8f2jdE8+fI4z742wa6Ds+zYGsN9tyRcktgLr9dLfX39krlbVwqu3hBNWKjCt/+7j7/6bhf/+LXsFQnF11aFsaU2nGdem+bqdREkxZ8kmbIs4/P58Pl8bNmyhZgkBw0/m+W517oozHCc9Z0mxCpMTJ++Tk6d0PZEn7ChmJwVzDkEGUkyNqegY1BwdY3CnmZBQrTE2IyExSITG6MAEjVZbq6UYlsgiDYhIWE+lPdSYzkC6XOpBn0wzn4FY6ldeaCiUlFRcUHZqyzL52znraoqjY2NWCwWVq1adV7Vp8CFXJYtU5a9+EXt8wuaulQOtam09KhoGiTHSdy6yciqIoWoU27SS5GeGZvG0WN+6o/76RrU0ASEh0pUFRgoyzFQlKWcV4VDks3MeZPonIql8biP4QkNEFhMLtLi/awtMVFTEkF6kuG8q3ezs7O0tLRQUlJCZOTC4lxNEwyM+mnv8dLW7eNYj050AMKtMkXZRtaUW6gqMmO+gr1ort8Yzht7bPziySn+NS/5rHMVQtDR0YHL5aK6uvqcdosRYQpf+VQy126K5GePj/G9nw5TURjKp++LJyMjg4yMDPx+P5OTk/T395/mLxMbG7vghFSYVeHjdydx8/ZYHn12jJfenuL1XdPcem0cd+6IIyLs4ixd55K7dSVgTVUEf/vlTP7xv3r5y+928Z2vrywe5GN3xnGgwc4vfj/OX30+df7vh4aGGBoaorq6GoPBQFVJJOFWG041iVWropicnGRgYIC5uTnCw8ORicPlOf37DExSxp7IzAtkdOWnK9Qd1xACoiMkJuf0aUuLkIiJVjAoEhIaeYlXhqD5SiA9ZyKYQPrUapAQYlnmiXa7fUkj3z8UvO+ITzAEFvDZ2dnzqqhcaLhcrvnd46X6sUzMauxu8LO/2Y/Dret2tlYbWF1kIHWBya7AjySQPhwgFnN2jaPtfo60+ekcPDEGHidz3TojZTkGMpLPPSLC5xd0Dvg51uOnrcdP96Cu01Fk3e11U7XevkqMYd6LZLCnnZnxc9MFBRBo51RVnS7OdHs0Ovt9HO/10d7jpaPfh9ujE92YSJnSXBOF2SYKs0wkxytXlN5jMRgMEg/eHcs//M8oT78xy4duPOmYHJgqNBqNlJeXn/d7KisI5d/+MpNXd83y6PO6S/ANW6K496ZYIsIMJCYmkpiYiBCCmZmZeR2J2Wye/07PbLHFRhv54idSueOGOB55ZpTfvzTOC29Ocvv1cdx+XRxhK2jrLIWAL01RUdGCwatXOlaVh/N3X8ni77/fw3f+u5d//kbOst3AY6OM3LMjll8/M0F7t4uC7BAGBgYYGxujurp6/sYqSRL5mWaO93gxGE7/Tufm5lD32nA6fRw+fHjeKHNyRkbiZMXneJ9KWAgkxck8/raPlDiJll4IC5WYdkiEhihEWGU0Ibih7NLlcS2GAOlJTEwkNTV16SdcJixVDVrMPNHhcFyxbd0LjT8I4hPox1ut1vOuqFxIBCIxSkpKzinAcCXQNEFrr8aueh9tPbrepCxXYWO5rtsJtgCeSXrmHOKEONnP8X4VISA5TuamjSZqigwkxpxbdUOcECQ3dvpo7fLTOeDHr4IkQWaywjVrzRRlGcnLMGA5o3IUExNDTMzKdUFnvn7Ah6WktJqBMRgYdTIw4ud4n5e+YT+app9PWqKBDVUW8jNNFGQZiYt6/xCdhVCWb2HzKivPvTXHhiorGSmm+d9MbGzsaYZr5wtFkbhxaxQbV4Xx6POTvPzODO8cmOPem2LZcVWUvouXJKKjo4mOjiY/Px+n08n4+DjNzc2oqnpa5ELgc09NMvP1z2Vw781uHnl6lEefHeP5Nya5a0cct1wTS4jl/AjQhczdupyoKgnj8w+k8P2fD/LGe9Nct2X5O/gdV0XxxMuTvLprFrOsDyBUVlaeVZHLyzRxpMWFw6VhDdHXA0mS9Kk+WSUuRlBaWjqfD9fYFkOENZS52SkiIqNo7VHJzzAwMinoGxVsqVLY3waxUTIqMvFx+lBChMVPxBUwZKSqKnV1dSQlJV3RpOdMrNQ88QONz/sIgZiH7OzsK6ofv9JIjHOFwy3Y1+TnvQY/U3OCCKvE9WsNrC83nNbKWgiBH8D0nJ7XVXdMb2MJdAfVG9YZqSkykBx3bjcVp1ujpctPU4ePpk4fs3a9gpKWqLCt1kxhpoH8DOP8uOtSWEoXFBsbS0JCwmk3TCEEY5N+du3vZWDMwKQtg77fT81PmphNEjlpRm6+ykpBpom8TCOhliu3dXWu+Oht0TS0u/jez8f4f38cS1dHIxkZGUGjUc4XkeEGPnd/IjuuiuKXvx/nF0+M88o7M3z8znhqK6ynEcnQ0FAyMzPJzMycj1zo7e3FbrcTGRlJfHw8MTExKIpCVpqFv/6TTDp7XfzmqVEe+v0oz742yT03xXPjtphzisAIpM1f6Nyty4XtG6N5fdc0v3x8hHU1EctuC4ZYZNZXh7H36BybKtxUVlQs2BrJSddNVvuHvRTlnF6hs7s0IsOU08wwf7tzhqxklfHxcd7aO8ycI4vshDlePxiJ2QgzDgmLScLlkwkLUwi16Hld20u95/9hnCcCpCc5OZmUlJTLfTrnhaWqQcePH2fjxo2X8xQvGd53xOfUBTOQTrxUzMOFRKAyEgyapnHs2DE8Hs+KIjFWiqEJjXfrfBxqU/H5ITdV5rbNRspzlCUN4IQQ2J0qB1u8HGxR6RnWL/zUeJkbN5qoKjCQvAzB9Jnwq4KuAT+t3bqfTvegiiZ0H4+SHANleUZKc4xEhV8YYhHwC0pPT8fv9zM6NsG+w4P0j6jYPGHM2C2MTEoncoDCsJgkctJlbt1mJTvVSHqSbmR4ocJBr2REhSt8/cEE/u6/R/jnH/fzF5/OJT7+7OylC43MVDN/96VUDjU5eOjJcf7pf4coKwjhE3fFk5tx9uTYqZELgYmi8fFxOjs7sVgs8y2x3MwQ/u4rWbR2OPj1k6P89NFhnnplnPtvS+TazdHLNkE8dZLtYuVuXWrIssQXHkjlT/7uOL96YoQvfXJ5LXYhBMmxNlxuCAnPC6oHCfxcFloG7Q6NlFNiWMamVKZtgus3WCkqiuXtZhfhoSqRVg8vHhRkx89wrD+eyAgJWdHzuCRJIjfByzJtwy4a/pBIz5k4M1h1586dtLa2kpeXd5nP7NLgfUd8Auju7mZ8fJza2tqznEYvFgI5WcHITGCEPjo6mqKiogveHtGEoKVb5e3WXMYOuDEqsLpYYXOlcUHtzlnP1/RprL0NXuo7/Kiqrtm5dYtOdhLOwTl51q5R3+6jrt3HsR4fXp++IGalKNyw0UJ5npHsVGXJ8NOVQtMEY1MqvUM+eof8dPR56RoAr09vKZpNEBfpIy3WRnKcoKokhtKCGCyWSzsWfSUhPsrN1TXTvHYgmhd2SXzyzkvzupIkUVseRnWJldd2zfLYi5N87Z/7uGpNBB+5LZa46IW1WrIsz7c5Qa/ujo+Pz6eQx8XFkZYYz7e/nk1Dq4OHnxzhB78a5OlXJvj4PYmsrwk+PQYnhbuXKnfrUiIr3cLt18Xx1CsT3LgtlryspVvBx44dIydFAAqtnW6Kcheufnl9ern0TKG8xyuYnNXmw0QBjrTpY+gV+UYmZjRaulSuX2+kfTQJRdGQLXFYvODXFKLD5RPj6xqV6R7g8iWRBkhPSkrKFdVJuBjYvXs3f/u3f8s777zzB/9eA3jfER8hBPX19RiNRlavXn1J7eMDI+0LER+73U5DQ8MFHaEPwOsXHGpVefuIj7FpQajJzM0bFDaUm5aVuTU6pbK3wce+Ji+zdoHVApsqDawrM5KWIK/YFHJgVKX+uB4H0T2k94njo2U2VpopyTFQkGm4oO0iIQTj0yrtPT56Bn062Rn2z4uPFRnSkw1srQ2lIMtEdpoBs+KkubmZwsJCjEYj4+PjNDTUrUgX9IeEQKL4/bdXYAx18eJOGyFmiXt3RF2yipfhhP7nqrXhPPnKFM+/NcPeozbuvD6G266JXnI6zmq1YrVaycrKwuv1Mjk5SXd3Nw6Hg+joaL7xuVjae+N4+Mkxvv2DPopyQ/jkvcmUFZ49ohvQe50q3P1Dw723JPD0qxMcarAtSnyEEPMi95rqfMKsnYxNBvfN8ZxIVD/TM2xg1IcQkJ5knD/unnoPuWkK8dEKT7zpQZahONvA/zztpyxHoX1QIjJCQTHqbS6vD/Ijuzl0qG9FPlAXEn6/n7q6OlJTU//gicC+ffv4i7/4C1544YU/+Pd6Kt53xEeSJLKzsy9Za+tUBPPyCbTcKioqLoow8ul3fOxp9JOWIPGxG0z4Z5uprqrEtMj4uNsjONzmY2+jl84BFVmCkmyFu69WKM0xYFqBvb3PLzjW49fJznEfUyfGU7NTFG7baqGqwETqCgnUYnC6NboGfHT1++jo89HZ78Pm0F/TZJTITDGwqTqEzBQDmSlGUhNPNy4cHx+n5VjnaVlCi+mClvKWeb9jYGCAkZGR+crGR2624HQJnn5jjq4BL3/y0bgVmd6dL6whCh+7I57rN0fx0NPjPPr8JG/snuVjd8SzcVXYsr4Hk8lEcnIyycnJaJrG9PQ0ExMTyL4pPntvKMf7wnnhbQ9/8U9dbFgVwafuSyI5wXzF5G5dCoRbFdKSzRzrcgZ9jKZpNDc3ExoaOu9OnRBjZHwqeAK6zaGvgQFhcwCtXbomJz9TJz49QyrDExoP3BSKwyXY2+hjdYmBPU0aRgUm5vQsLlXIRFkVDAaJqBA/a8qSgeT5UNXW1la8Xi+xsbF67l9k5EX73v4vkZ5Dhw7xla98heeee+6KGc+/VHjfER+AqKios/KqLgXOJD5CCHp6ei56y21rtYGaAoW8NJ1cHD4sL/j+hRB0DarsrvdyuE1vOyXFytyx1UxNoUxk2PJdPR0ujaPH9ETz1m79WCYjlGQbuXmzhYp84wXJ2VJVQd+In84+L92Dfrr6fQyN++fFx8nxChUFJnLTTRRlG0lJMCxaoejv72d0dJSampoFv48zdUGnessErPljYmL+IG6IQgi6urr+P3vnHR/HXaf/95TtXbtadcmy5d5reiUJCaSHBMhBQihHOTocBwccBz84jk44IHdAKCFAOgkkIb33xHFvKlZvWyRtrzPf3x+jXcux7Mi25JLkeb3WK6vszM7Mzjzz+Tyf5yGZTO5V2SiFTs5tMvPbO0f4j58N8c1PVR9Untd0oCpg4ksfqWVra5obbw/zoxsHeeApG594XxW1B+HULMsyfr8fv9+PEMKoAHnD1FcmeX6TwrOvxnlpU5yLzvGzcv4oDptyzORuzTTmNdtYvyU5qTaxFLDp9XqZNWtW+fuBCpWh8P4rPsORIlaLtI9Z5/ptORprVLwu4zh6ZmMOswprFpl5aoNxDlnaovLHBzTmNyl0hcBmN8bX7Q7DJ+2cJXsEzRNDVTVNIxqNMjg4yM6dO3E6neVx+elqU5ZIT319/YyJ/o8VbNy4kU9+8pPcdddd0zrVebzguCQ+RwsTiU/pTkmW5RlvuVVVyFRNmEp9LQHLFwQvbSvw+PocA2EdixnWLTJx4lITTdXSPv48+0M6K9i4K88r2/Ns32346vg9Micvt7CsxcSC5oOLhJgMRU3Q2WcYAu7cnae1e49fjtMuMafBzAnLrMxpMDG7wbTPXeX+UMply+fzU25fTPQhmSikbWtrw+E4PL+go42JGWTLli2bdN+/7SQXNZUm/utXIb59wzBf+nCQgO/InxKWzLPzw6808sizMW76q+H/854L/Vz8tqmLlEuQJAmn04nT6aS5uZm1a/K846wQf/lblL8+EOHBJ+C9F7toadFR1Tdmi2si5jXbefTZMaKjRQIVe47jki9NZWXlPrELmrZ3rtZrMRgpUB0w7XVMDUeLdPQWuOp8Yxw6ldF5YXOedUvMKDI8vj7P4tkKr+wUmM0wOCrhdskgy7hdhgawsaKAZT8fNUVRCAaDBINBhBAkEgkikQgbNmwoE9+JoaoHi2KxyIYNG2hoaHjDk56tW7fysY99jNtvv/1NI2Z+Ld4iPgeBEuHI5XJltX9DQ8MRv3MsiaxjSZ0nXs3z9IY8qYygoUrmny6wsWahCYuJAzoxl5DLCza1Fnh5e56t7QWKmkF2zjnBwtrFZhqrD8/DJpHSae/J095ToK07z+6+YlkcWRtUOGm5lQXNZubOMuP3HFq7TNO0cpjkod7JTxTSHo5f0LGAUpZQ6U7+QNtjUYuVf/1gJT/5fZh///Egn7+ucp8R5SMBRZZ4+2le1i518qtbhrnprxGeeSXBJ6+pprn+0KetzGYz81qqueycEOed5uXOB/PceFuMB54Y4dJzZFYuPX7J7VRgtxs3DvnCngpxsVhk06ZN+51W6h3MMa958uNcCEHfUIGWxr33yfMbDaPBk5Ybf/fMxjz5Ipy91sLTGwukMobA+c4nNVoaFAZGJGRNxmlTsVokEIJTppjHJUkSbrcbt9u9V6hqR0cH6XQan89HIBDA5/NN6QaoUCiwceNGGhsbp12feaxhx44dfPjDH+Yvf/kL8+fPP9qrc9RwXBKfo1WiVhSFRCLBjh07WLBgAX7/zI8DT4Zk1sydj2us35VA02D5PJWz11hoaTBIyuvFTxSKgi1tBV7almdLW4F8EbwuiTPXWFizyMzsukMnO7m8oK07z5a2HFvb8vQOGVoBRYamWhNnrrWNOyCbpqW1ksvl2Lx5M7W1tdNmLjYVv6BjVRdUypmqq6ub8gju8gU2vv25Gn7wmxDf+uUwH3pXBW878eiY+FV4Vf7to7U8vyHJr24J8aX/7ubqiwNcco7vkETYr83dOvVEwePPjXHjrUP88i9FTt41xsnLe3HaZQKBQLlq8EaBphk3GaVtV7rI76+ykcnqhKJFzjl58lZje0+eyKjGu96+hxjpuuDZDRkWNJvwexU0XfD4yznmNalU+RV+eWeOeY0Kr7bqOG3QH5FwOmUUVcHtMsxVVzTmOdSi+WShquFwmPb2dqxWa7klNlnw7puJ9LS2tnLddddx8803s3jx4qO9OkcVxyXxOVpIp9MMDg6ydu3ao2J01jus8dALOdbvqEaW4aRlZs5dZyZYsYdA7C9+QheGQPn5zXk27sqTyYHLIXHyCgtrFxmOyYcSP1HUBLt7C2zvyLO9I0d7j1E1UhWYN8vMlW93Mq/JTHO9aUrJ8QeDZDLJli1bmD9//mFnzBSKgkxWJ53VyeYEui7KF4t8QSJfCCAsfopCo70/webWAfK5DjweBwG/l4Dfg8VsWO077NMn9D4YpNNpNm/ezNy5cw+alNdXmfjO56q5/qYIv7p1hK6+PNdeWoF6mK3NQ4EkSZy8ysWSeXZu+JNR/dm4Pc2nP1CF/yBCSku5W3PmzCEQCJRf++xTfJyw0s2f7h7m749E2drq5INXVVKt5mhrayObzVJRUUEgEMDr9R7Xeq/RmHHj4XYq5PN5Nm7cSHNz835zyLoHcgA01E5OfJ5+JYXJJHHCsj3nv63teYajGpedY7S5XtleIBrTec/bbTy9sUAiLXjbbJX7X9BprFEZS0loQsZhlbGYJVRZZ3H9/sXUB4PJLBAikUjZFbyioqJ801LS9DQ1NU0pqPh4RmdnJ9dccw2///3vWbZs2dFenaOOt4jPFFDKAUsmkzQ3Nx9x0tMX0rj36Syb2opYzbB6XpqzVpuY3eTdZz2LReMEUjpZjyV0nt2Y45mNeSJjOjaLxKoFZtYtMTN/lnrQ/jpCCAZCGptbc2xrz7Grq0AuL5AkaKxROfdkO4vmWFjQbJrR8M5oNEpbWxtLly7dx2a9UBRER4vEkhrxpE48pZEYf44ndeJJjbG4RiYryOQMsjPJsN7rwD7+AMiOPwxIEtitMnarhM0mY7fKuBwyQb9Kld9EVUClOqAS8KmoB6lh2R9KwauLFy8+5IlHp13hyx8J8ud7x7j3iThd/QU+94EAFZ6jc5pwOxW+9M81PPJsnBtvD/HZb3fzyfdXc8Ly17fVf73cLYdd4Z+vruXc03z87Lf9/OTGIdYsc/Ev1y7C71UYGRlhaGiIXbt24XQ6qaysxO/3H3ctsR3taQIVJmSpwIYNm2hpaTkgKd60PY0kwaKWfc9xRU3w/MYUqxfZsE/Q3j36QhqPU2bdEitCCB54NktNQGb+LJVv/ibD/EaF9a0Cn0tieBQcDhmLWcblMirLJ8/Nzch7hz0WCCVX8JGREXp7e4nH4+TzeWpra9/wwZw9PT1cffXV/OY3v2HVqlVHe3WOCUivkzh+aHHkM4xisTjpWPlMLWvLli3Y7XbsdjtCiCMW5DYY0bj3mRyv7ixgtcA5ay2ctcbCYP9uHA5HuVT92tYWwK7uIk+8kmPjrgKaDvNnqZy20sKqBaaDFihrmqCtu8CrO7K8uj1HaMTY9jWVCovmWFg0x8yCZjMux5G5M27r6GNHa5iK4GwSKYmRmEZ0rMhoTCM8UiQypjHZYW0xS7gdMi6ngs+tYLfK2KwSNqtsPCzjX1tkJAl0ARLGCL3ZLBnP41WrYlGQLwiKmqBQMDQUiWSGgaEEkdE0haKCJNvQMZMrSMQTOqGRPfomAFmGKr9KS6OFec0W5s2y0FhjOuiWTiQSob29neXLl0+bBun5jSlu+EuUoF/lW5+uPuoxHv1DeX7820F29+a44vwKrr7Iv9/tdLC5W5ou+PvDUf541zAA176rigvfZrx+SUgbDoeJRqMoilJuiR3r8RYjYwWu/fxOLj7Hy9LZ/cyfP/91MwO/9L0eJAm+96V9z3HPvpriZ3+M8OWPBFm5yDjOQiNF/vWHES4608G7znOxpa3Az25Jct3FdlJZiXueynPBKRYeXa9TFVAp6DKyquBxm/C4ZexmweVrj2wQaaFQ4NVXXyUYDKJpGiMjI8fVfj0Y9Pf3c9VVV/Hzn//8eIyjmLFy83FZ8TlSbYR0Os2mTZtoamqitraWwcFBstmZ/5COJXTufjLLS1sLmM1w/skWzllnwTGeaVUSN8PepCeTgxe25HhyfY7BiI7DJvG2EyycvtJClf/g9DSZnM6W1jwbdmTZtCtHMi1QFVg0x8w7TnewYoGFCs/MTcXk8zrD0SJDkeL4c4GhcJGuvgyJtARUAGMAKApUeBT8HpV5zRZOD5io8qt4XApup4zLYTzPZAXKgAMwWiolXVA4PFjWBfn9AXTJwXBUYzhSZDhaoG+owObWDE+vTwFgtRjp10vmWjlxuZ3qygNXGAYGBujv79/v+P6h4qQVDhw2me/+KsT1fwjzbx8JHtVoj7pqM//9rw386pYQdz4wQjha4JPXVO9D4g8ld0uRJS59e4CTV7v5+R/6+b8/DfLMyzE+88F66qotZSHtnDlzyGazRCKRcixNSe/l8XiOOb3X48+NoetQ4+tn4cKFeDyeA/7+WLxIe3eWd79z8orQ/U/FqalUWb7AOuF7KRQZ3naiHV0I7nkyQ4VHZtFsE9/5XZqFzQqv7NSp9MnEUmC1SVjNChaLhBBwxsKZq/ZMhkKhwIYNG5g9e/Ze7b7Sfm1tbSWbzeLz+aisrDyuW51DQ0O8+93v5ic/+cnxSHpmFMdlxUfTtHJLZ6YwMjLCjh07WLJkSfmEEQqFiMVizJ07d0aWWSgKHnkpxwPP59B1OHO1mbefaMFp3/uD19PTgyRJ1NfXo+s6Q5ECj72c57lNeXIFw1iwJFQ+GF1NZFRjw44sG3bm2LE7j6aBwyaxYoGFVYusLJlrxmaZ3pOArgvCI0V6Bgv0DObp7MvT1ZcnPLp3Rc9uk/A6igQrYNE8P7VBEwGfSoVHweXYf/r8sYCSX1A4HJ7UL0gIYxvs6srR2pljV2eO7gFjwmVWnYkTlzs4cYWdmgkkqOQhFYvFWLp06Yy5Dz/8bILf3DHCled7eNfbvTOyjIOBEIK7Hhrl5rsjrFxk518/UottvBpVyt1asWLFIeduCSF45Jkxfv3nAYqa4CPvreH8MysmJTUlb5lwOEw8HsflcpVbYqp6dO8pszmdj31lFxZTjh9+bc6UKl9/fWiEm/4a4adfa6Kpbu/t19qV4+vXD/HBKyp4+6nGa8WTGp/7XpiTV9r40OUent+c47f3pPngJXY6B43w5LPXWnhqk47PqyIrMopJxe1SsVhk1jQXWD5rZs/jE1EiPQfSOIGxX0uGmKOjozgcjrJA+kjFIx0uQqEQV1xxBd/73vc455xzjvbqHCpm7KT+FvGZBL29vQwMDLB8+fK9JgGi0SiRSGTaxwCFEGxqLXLHYxmiMcGKeSqXn22j0js5yejr66NQKJLWqnjkxRyb24rIMqxbYubstRZm1U79pBtLaDy/KctzGzN09RvbtKZSMcjOQistjaaD9lLZH/J5nfbePN39+TLR6Rva4+NjLFulud5MfbWJ6vHKTYVHsLt9K1VVVft4jhxvmDh1MjIygt1uJxgM7jNSHRkt8sKmNC9sTNHWbZi6zWk0884z3KxbZqO9bRdCCBYsWDCjd6RCCH7xpyjPvJriax8PsmTusTHO/8izMW740zCL5tr4+ifriISHyp/Z6dDhREYL/OQ3fWzclmTtchef/VA9Xvf+P1dCCOLxeLklZjKZyq2To2GB8Os/d3P3Q3G+8Zka1q0MvO7va5rgE9/oJFBh4juf3/cz9sPfhtjenuOX36jDOn7zc+s/Etz/dIr//lyACo/C134Zw+eSufoddn50c5aTl5nYtBsCPpnRlILVpmK3K7hdChYTvO+07AH9gqYTUxF2T4aSIWY4HCYSiQCUq3xO59Rcxo80otEol19+Od/61re44IILjvbqHA7eIj4Toes6hcLUPB8O9nV37txJsVhk8eLF+9xFj42NMTAwwKJFi6ZtmcmMzl8eyPDqriI1AZmrzrGxYNaBT7CPPDfEIy8JwjEzTrvEmastnLHaMuXU83xBsGFHlmdezbKlzaguzapVOWG5jVULLdRUHv7dqhCC4WiRtu4cbV152rpzdPfn0cbtRFwOmYYaE401ZhprTDTUmGmoNpXv3ksoiVRbWlrKkzlvFJROqqFQyIhbkGUqKysJBoN7XSwjo0Ve3JTmkecTDISKuB06p66Ed72jEYdt5k34sjmdr/x4kFRG5/v/Wlt25j3aePKlONf/fohFc2QuPTPByhXLprXypeuCvz8S5Xe3DeGwK3z+I/WsXjq1Mf9S3EI4HC63OktxCzN9sdy2M8yXvz/IaWvdfOnjs6b0N489H+N/bhrmKx+rZd1rxONd/Xn+7YeDe1X9hqNFvvKTCCcss/LRq7z89fEM9z+T5UvXOrnnqQLRmGDeLDM7unXsdhWzRUE1KbhcKmazzOkLcsytOTLu+yXSM3v27MM+h5Qy4iKRCMlkEo/HU67eHguZb6Ojo1x++eV89atf5eKLLz7aq3O4eIv4TMRMEJ+S34ff76e5uXnSk1MikaCzs3PaxgF1XfD/bkwSHtW58DQL555gOeCU1baOPHc8kqJ7UKPCpbG4McKChgw11cad5WQ+FSUIIWjvKfD0+gwvbcmSzgp8bpmTV9o4ZaWV+qrDu0vO5nRau3K0dedo7zaITilfy2qRaGm00NJkZt4sC3MaLHhcrz/yPTo6ys6dO6csUj3eUdIZhEKhSf2Cstkcdz+wi80dHjr6wGaVeOcZbi46y12+C58plC5+117q4x1nHPmcvMkghOCmO9q4+zE4bY2Tz15XMyMtz67eLN//3x66+3Nccp6fD7yrGvNB6MVKrc5IJEI8HsftdpdbYtN9sRwYjPAfP+4jkTLxf/89/4BVqhIyWZ1PfbMLr1vhB19u3Odz+ePfhdncmuEX/1FfdlK//o+jbG3P8/0vBChq8B83xFmzyMziFjM3/yPHeSeaeWKjoLlOYTgmY7Wq2O0qbpchaH7vKTmORLEkn8+zYcOGvSwNpgu6rhOLxYhEIkSjUcxm81EJVS0hFotxxRVX8IUvfIErrrjiiC9/BvCWuHkmUUpWb2lpOaCfw/5CSg8Vsixx6ZlWKlwyDdX7PwF2DxS5/ZEU23cXqHBLfOAiOyctMyPLATKZDOFwmK1bt6LrerliUDJhG41rPLshw9PrMwyGNcwmibVLLJy6ysbC2eZDvlBomqCjN8+W1gybd2Vp68qVqzn1VSbWLLExt8nC3CYL9dUHP6k0ODhIb28vK1euPCCheyPBarVSX19PfX39PjliTqeTWCzGWSfN5T2XVtHRk+OeR+Pc8WCMR59P8p53ejl9jWPGtE5NtSZk2dB1HAsQQrBjxw5OWCrjdFVy8z1RqiujXH3x9FcFZzVY+ck3WvjtrUPc81CUzTtSfOljDTTWTe24nBiNIoQgFosRDofp7OwsJ5C/3o3LVDA0FOL7/zvAcETha59umBLpAbj9H1GiY0W++JGafUjP7t4cL25Oc8V5njLp2dqeY/32HFe+3YnPrfCL25IoMrzzNCvX35KlqVpmRw94nDA4IuF0yKhmGZvN8BU7ZUH+iJKe1xvhP1TIsozP58Pn8zF37tzyubhkdFryDDoSVb5EIsG73/1uPvWpT71RSM+M4ris+AghyOfzr/+LU0AoFKK9vZ1ly5bt4wfzWuRyObZu3crq1aunZdmvh3RW56+PpXns5SwOq8QFp5g5c411v8nqJev24eEQu7ol2gb8tPepCAHzZpk4bbWNdUuthyRQFkLQHyqytTXDltYs29qzZLKGf09znZml860smWulpdGyl8fHoSyns7OzLNo92iLRYwHxeJxNmzbh8XhIpVLY7fbyxXJ3n8ZNd4/S3pOnud7MNZf4WNQy/USxUBS87197eM87vVx2zoGng2Yauq6zZcsWXC5XuTp7/e+HePrlOD/9+izqq2dOgPrSxjg/vbGPTFbnQ++p4Z1nTy58nirS6XS5JaZpWrkldrCu4ENDQ9xw8yCvbFX5+PtrufBtU7vQ9w3l+dy3uzh9nZtPXbOvk/N3bhhmd1+e//laHXabTLEo+OrPImga/NdnA7T3FvnJn5JcdpaVfFHmkZcLnHeihSc26jRUqySyErKq4nCouJwyHpvgypNmfpJrpknP66FYLDIyMkIkEiEWi82oF1QqleKqq67iuuuu45prrpnW1z7KeKviM90oXWCj0Shr1qyZklpfUZQZnyYrrduLW3Lc8mCKREpwxhozl5xhxWE7cHtIkk209nu5/ykTQxENtwNOWJSmuSrKrHonwWAQi2nqF8V0RmfDjgwbd2TY0pZlNGbc7QcrVE5e6WDpPIPsuBzTU66fGKy5fPny43aMdDpRMmpcvXp12UeqpAsq5Yh9+LIAnYNu7ngoxTd/McxJK+y872LftAaOxhLGvreaj66Ys1gssnnz5n3CNa+9PMDLm5P85tYQ3/h03YzdYa9b4eYX357LT2/s44Y/DrBxe5LPf7ge+yFqrex2O42NjTQ2NlIoFPaq8k1VP9LT289v/hJm/XaVK94RmDLp0XTBL24ewmKWef+l+1bKXt2WZnNrlmsu8ZVvZh5+Ps1gWONz13hRFLjlwTSVPpkVC8x87w8ZVi9UeWmnTl2lRGgMXC4Z1WT4ZUmSxOlHYHy9lKV4tEgPGFW+14aqhsNhenp6kGW5PCV2qKGqJWQyGd773vfyT//0T2800jOjeFMSn1KopclkYvXq1VO+wB5OqyuVMVyTX68VMZbQufHuBNs6CsyqVfjUe2zloND9fUAyOZ3HXkjz4LNpxhI6s2pVPvFeD2sWW1EVCV2fxdjYGKFQiNbWVpxOgwRNNnabTGm8vDXDC5tSbGnNommGEHnJPCtL5xpEpyow/e61hUKBzZs3EwgEaGzcV2fwZkSp3TfRo2di+ngpRywSieCzdnH1OXm291Ty1Ktp1m/LcPHZbi4+233Y/kWZrM5P/hBGVTgqAaYlvDZ3ayK8bpWrL/bz61vDvLAhyUmrZk4T5vOY+M/PzeLuByP89rYhPvvNdv7t443MaTo8XYfJZKK6uprq6uqyfiQcDtPR0YHFYilX+SaO6u9q6+Hnfxhld5/Cuy+q5H2XTT1v6v4nxtjZkeXT11bv0xbL5nR+e9cItUG1PL4+Ftf46yNJls+3sHKhlUdfyjIY0fnElQ7ufTqPooDNqpDJ6TjshneWjozZLKOqEhUOjSrvzDYRSqRn7ty5x4wj88RQ1Tlz5pDL5fYJVa2srMTn8x3UzV42m+V973sfl19+OR/60Idm8B288XBctrrAOMAPBdlslo0bN1JXV3dIo9HPPfccJ598MgCdgzqhMcEJCw98t6fpgp/8OYXdKvHxK+z7vahvbc/z67sS5AqCd51j47QVJhRl/1WefEHw6Atp7n0ySSIlWDTHzIVnOlg8x7zfvyndfYRCobIgz+GqpGvIyfptOYPs6FDpU1i33M4Jy+zMbbLMqE9OJpNh8+bNNDc3lzVW+YJOdLRIIqWRyepGtERGJzv+nMkZmVoSRkSEJIMsSUiS4YisKNK4ceH4w6Hgcip4XMoRMDI8PAgh6O7uZnR09KDafSVdUHtnhH88p9DWa8PjlDjnZBdnn+g6pApQPq/z3V+H2Lk7x+c/UMnapUfH1Xay3K3XQtMEX/xuN8m0zs//c9YR2c9bdib5wf/1EktoXHdlNZec558R0l7KnAqHw+i6TiAQoHcgx2/vKDCWkPj0B+t52ykHdmWeiMFQns9+u5ul8+189RO1+6zzH+8Z5d4n4vznJ6tYOMcgu/976xgvbcny3c8GcDpk/v3ncZpqFC483cbPbs1y9loTz22DWTUyAyMyNpuC1aricimYTDKXrM4ScM/cJSWXy7FhwwbmzZt3zJCe14Ou63t5Blmt1rJA+kBeVPl8nve///2cc845fPrTn36j3ii+1eqaDoyNjbFt2zYWLlw4LR+M9bt0NrbrLJ8jYzVL5AsCWWKfYMf7nsnR0adx3UW2SQ/Qoia4+/E09z+ToS6o8M+XO6j2S/ut8hSLgqfWZ7jnsSSjcZ0lLWauOM/JnIbXb9eV7j5MZicDo9U89Hyc7R15dD2Gx6lx2kqF09Z5WTx35pLHhRCMxIr0Debp6U/Q2jGEyVLLo+sLRMe6iY4Vy62V/UFVKE8y6QKEKLlYG//XNDFpbAWAx6XQUGOmsdZiPNeYaai1TFvL7nAghKC1tZVisXjQ7b6JItqT1um8sjnC3Y8mufOhGHc+FGNhs8x5p3lZt8z1uhlhI2NFXtmW4YmXkuzuzfOp9wWOGulJpVJs3ryZhQsXTpq7VYKiSFxzeSXf+p9+Nu5ITynT63CxdIGT//nWXK7/bR+//ssgG7Yl+dyHD+z5cyiYmDmVSmX53z+28sRLYDXDP79bYfl8DU3TpjQlpmmC6/8whKpKfPyfgpMKmu97Ms7bTnKWSU9rV57nNma56EwHVQGVWx9Kk8kJrjzHxl8ezuN1ScRSMqqiE03I+NwyBWFUe3RdYkVT4S3SMwlkWR53dfcjhChrvrZu3bpfzVehUOCDH/wgp59++huZ9MwojlviI0lGjs5UMTAwQHd3NytXrpy2LJa1C2Ve2qmzuUNn3UKFL9+Q4azVKhedsoeA7Owq8sBzOU5aamLd4n2JSS4v+PmtcbZ1FDhjlYWrzrOhKmK/pGfTzhx//Huc0IjG3CYTH3u3h4Wzp+ZSq+uCTbuyPPFikvXbMxQKgkqfwkVnejhxhZ3aSjE+Tt3BSy8VCAQCBIPBQzbq0nRBKFqgfyhP34RH72CedGaih4cdtzNPhUehwqsyu9FCsMKE36fidpYytfY87FYZ034E3hPfaypjBJKWHomkRiyhMRDK0zeY57HnY3uZJ9ZVm1m1yM7KxQ4Wz7XtV0Q+U9A0jW3btmG325k3b95hndBkWWbdiiDrVgQZjhR46JlRnnolzfU3jWI1R6kNyjTVWmmqs1EbNOGwyegCtrZleWVrmo4eY3igplLlX/7JzymrHNP1Ng8KB5u7tXiuDVWV2NmROSLEB8DjUvn6p5u479ERfnPLIB/7Sisfek8155zqm/aL0o72FD/8306GIhJnnujhw++pRuhJwuEw7e3t2Gy2snHi/nSLdz04wq7dWT7/wep90u41TfB/t0bxuhT+6SKjgqTrgpv/HsfnlrnoTAehEY3HX85x6gozoTFBz5DOBaeYeXS9zpwGhYEIoMjY7UaLy+/SWdU8c9rIUhV/KllkxzIkSdpvqOr3vvc9CoUC559/Po8//jirVq3ii1/84luk5xBx3BKfqaJ0B51Op1m7du20Tgk1BiVq/BLRuHHxlGXQX+PJde8zWfxemXefu2//P5sT/OwvcXZ1FfjARQ5OXm5CiMlJz0hM4+a/x3llW46aSoXPX+tl+XzLlA78dEbn0ReSPPh0nPCohsshc/YJTk5ZZWferL1fY+I4dSQSobOzk1QqVR7N3F92jRCCoUiBts4srZ1ZdnVm6BnI7xXK6XEp1FebOX2tC4clid2c5IQ1cwn6ra9LZA4Wsmy0ulwOhbr9yB6EEERGi/QM5Onuz7FlV5oHnorx98fGMJsklsyzccJyJ6evm3mfnEKhwKZNm6iurqa+vn5aX7sqYOL9lwa5+iLBxp0ZXtiYoLs/y3Mb0jz+0r7Zcy1NZt7zTi9rl9qpC6pH7eRayt1asWLFlH1RzCaZlkYLOzoyM7x2e0OSJC48x8+yhQ7+5/f9/PTGfh59Zox/ubaWhtrD10V19WW59e8hnn4xhscF3/hsE+tWlPyUKqioqCgL3yORCJs2bQIok6CSiLatK8st90U5fa2L09bu68d035NxuvoLfP4DgfL4+tPrM3QNFPn4uz1YLTK//3sSVYELT7Pys9uy1AZkuofAYYWhEQmfR0FDwmw22vSnL5q58fU3CumZDCaTqVzB/d3vfsfjjz/OT3/6U9ra2ojFYrhcLi688ELmzJlztFf1uMMbmvgUi0U2bdqE2+1mxYoV03YCn0hOPnW5Wm4byDJlLxuAkbhOR5/GxadbsLxmGiaT1fnpn+O09xb58GVO1i5WJyU9ui548Nk0dz2SRNcF7zrPyTtOc+zTTpsMoWiBfzyV4LEXk2RzgkVzLPzTxT7WLrG/7t+rqrqX0HJkZIShoSF27dqF2+3G6QowkrTT3p2ndZzslDxerBaJliYrF5zhpb7GTH2VmbpqMy6Hgq7r7Nq1C13XWbhw6VGd3JIkicoKE5UVJlYvcXD52yvI5XW2tmbYsD3Fq9tS3PDnEDf9NcJ5p3m44AwvlRXTL+wu6VcmapxmAooisXqxndWLjYqnEILoaJ6dHSOEw2Ok0hnmNtmY0+zA53MeVSfaUChEV1cXK1euPOjcrQVzbNz72Ci5vH7E9VyNdVa+95XZPPz0KDfeOsgnv97OJef5ueCsCmqCB58f1t6V4Za/h3h+fRyzCc4+SeGj75+Hw77vqXui8H3WrFlle4uSiNbu8HHDbSoVHpV/fs++x9lwpMDtD8RYs8TGumXGMZLJ6dzxUJKWRhMnLrfSNVBk/Y4CF51uZWe3TmRMcMkZZv7xos7cRoX+qEQ6L2G1KqiKRNCtUeObmRZXifQsWLDggC3QNwJkWeaee+5h3bp1PProo/T393P//ffz2c9+loGBAb7zne9w/vnnH+3VPG5w3BKf12t1pVIpNm3axOzZs6mu3tef4lBRmuwqVY4maiV8Tone4T3M59Udhrv06oV7XyyFEPzfnQk6eot85DIHq8fF0a8lAfGkzg23jrGtPc/y+RauudhFZcXr77Ku/jx3PRzjpc1pZAlOXungHWe4mN1waMGNsizj9fkZjNrZ2Z9k/YMJBoZjCGIAVAckVi12sGCOnXmzrDTWWibN9yoWi2zZsgWv18usWbOOWiVBCPZ7B2oxy6xe4mD1EgdCCHbuznLvY6Pc8/Ao9zwyyokrnLzrAj/N9Ye2LV+LZDLJli1bXle/MhOQJIlAhYVTK2qAmr1yxNra2sp+QUc6nLG/v5/BwUFWrlx5SJ4nddVmihqMxopUVx75UElZlnj7GRWsW+HixluGuOuBCHf+I8LSBQ7eeXYFJ65yY1L3T8g0TfDSpgT/eDzK+i1JHHaZt50E55xiY+niOVP+3JjNZmpra6mtrUXXda7/XS+haJZ3nzdKe1tir30rhODGO0dQZPjgFXu8ie57MkUsqfPZ93uRJIm/Pp7BaZM4a62F7/8xQ1ONTGuvwGWH/oiExy2jI2G1jI+vL56ZFtebifTous4XvvAF3G433/3ud5FlmYaGBj760Y/y0Y9+lEwmQza7b+X2Lewfxy3xORCi0Sg7d+5k6dKluN3Ta6//WuIzEWsXqvz92QLDIzpVFTIbWgs0VisEfXvfOT+3KcfmtgLvPs/G6oXqpK2t3b0FfvanURIpnQ9d7ub0NZMLoyeidzDP7Q/GeHFTGrtV4uKz3Zx/qosK76Ht5liiyKvb0qzfmmTDtjTprI6qSixusXHaWhvzZlmoDeqkEhEikT4URUERlRQKQRRl7/J+Nptl8+bNNDY2TisRPRR0hhV2DJrw2nW8djH+rGM3i70IkSRJLJxjY+EcG+GRAv94cgxrdQ2PbM3jbstz6nIzVR5DaH0oKLVyli1bVnbaPpqQZZmKir3bJuFwmI0bN5ZzxCorK6dNIzcZurq6GB0dZeXKlYdccUqljZsPl/PoitV9HhNf/GgDH7iymseeG+WBJ0f471/24nWrzG60Ul1pJpfXyeUF2Zw+/rVOKFJgLF6kwqvy/suDzKoapLrKuFk4VLy8Oc1Tr+S47LwKrrp0Hslkcq+W2OBYJZt2Slx7qQ//+PliJKbxj6dTnLTcypxGM7u6CmzfXeTKc228urPIaFxwxioz979gVHsGohKZ8WqPokhUeXSCnumv9mQyGTZt2vSmIT1f+cpXUBSFH//4x5NWyG0221GJyDie8YYiPkIIenp6GBoaYs2aNQddIp8KDuTls26RyoMvFfjLI3k+dYWFdFZQW7n3yXc0rvGXB1K0NKicucY0Kel5en2a3/01jtcl87WP+WmuO/Bd70CowB0PjvHchjRWs8QV53l455nuco/+YDAYzvPixiQvbkyyqzOLEOBzK5y8ysnqpQ6WL3DsEyRKpbvsKRMKhdi2bRuappXF0bqul6fpZvJE1RlWGEvLuG06HpvAbdMxT3KEOyyCgFNnLC0zOCZRmpq0qAKfQ6fCoVHh1PE5dCzjf19ZYeLqiyvZ2idoEyomq531PRIg8Nl1/E6dSpdOhUNHmcJmHx4eLovtZ+I4PVxMbJs0NzeTy+UIh8Ps2rWLXC5X1o4crMPw/iCEoL29nVwud9jmlZGRAhazhP21x+lRQqDCxFUXBnnXOyp5dWuSR58ZpbMvS0d3BotZxmKRsZhlrBYZl0OhNmjmtBO8rFpsZ+vWfc0aDxaxRJFf/mmY5noL770ogCRJuFyusvP1WDzDr38QoqqiiNe0nV27DF+Zu58wBO/vOs+JrgtuezhDhVvixCVm/usPGVoaZNr6BE4bDEQl3K7xao91j7ZnulEiPQsXLsTjOboO4jMNXdf5xje+QSaT4Ve/+tVbhq7TiOOW+Lz2ZKvrOtu3b0cIwdq1a2fsIDkQ8XE7JN57jpk//CPPPU8XMJskcvm973hueTBFoSi45kIriryvR8/LW7P85s44C2eb+Zf3enE59v8+8nmdux6O8bfH4qiqxCVvc3Phme6DHsseCOV58sU4L25K0t1vnKxmN1i46h0VrFnqZHbD1Hx8rFbrXi604XCY7du3k0gkyoZzJR3TTCCakGkbVtHFnte3mfeu6njtOgGXTpXHeJ9FDWIZmbG0zEhKZjQlMxQzUSJDDotBagJOHb9TY3mjxoomeHXbCLc/ksDpsbF0iY+xtIn2kIQsCSocBgkKujTcNrFPW62np4dIJMKqVauOm0gOi8Wy3xyxw02oLuVuKYrC4sWLD/v46BvKUxPcv5fV0YIsS6xZ5mLNstefTisWi2zcuLHcqjoc/OqWEOmMxrc+W49pEm3fvU9kiSXhi5+pZ07DLEZHR9nRFuapV9wsa8lQzIV5ZoOHniGND1/m4MkNBZJpwepTzfz1KZ0FsxS6w0a1x2ZTUGSo8WlUTnO1581EeoQQfOc73yEcDvO73/3uLdIzzTg+zrqvg3w+z8aNGwkGgzQ1Nc3oCe/13JtXzVfpGtJ5ckOR+fUyHX1FCkWBSZXQNJ0NO/OcttJMtX/faZm27jz/e+sYs+tNfP5aH2bT/t/H5l0ZfnPHCMORImesdfBPF/nwuKZ+0Slqghc3Jrn/iTG2t2eQJVjQYuOD76rkhBVOgv7DE/GaTCY0TUOWZU4++WQSiQT9/f3s2LEDj8dDMBikoqJiyh/oTB4e3mLBZdVx2wRuuzCebTpWk6HZWTO7wKrmAsmsRDwjE8tIxNIGqdk1uIcQSRh/63PoVDiNKk1DRZE543rPggaj4yQompQZjin0RI2PikkR+J06fp/KJ6628cc7B/jdjUN87OoqViz3EU4ohBMyOwZN7Bg0YVYEQbdG0K1T6SzS3dlGPp9nxYoVx+3JbKJf0ERdUHt7+0HrgibL3TochKIFNu9Mc8m5x++ET6FQYOPGjTQ0NBx2W/jZ9QmeezXJP13sp6lu38riUKTA/U/FOXOdg3mzjJ8HAgH+9A8FkynPVRf4icWj3PGIStBbxK4keewVH6sWqLy8U+B1GtUej1NGSDIWs1HBPm3h9Gp73myk5wc/+AHd3d3cdNNNR3XI4I2K4574JBIJNm/ezLx586isrJzx5U0ltuKSU00sma1QLOpsaS+wsbXAmoUmkukiRc1wRX7tCX44UuQnN41S4VH43DX7Jz3ZnM6Nd4zw1CspaipVvv6JKpbMnfq47Fi8yMPPxnjwqRjRsSJVARPXXBbgjHXuQ9YCvRYlC4F8Pl/WathstnLba6KA1uFwEAwGCQQCB6x+FDQJkyIIx2U6QxJigqmnWd1DgryO8eqOQ6fGK8ptJ11AYpwIjaZlRlMSobhMV2TPMp0WgwgFnDp+l86cYJH5NYYYOpWTiCZlIkmZaFJhqN8MmFm4toW6ljRPb4shm1O8ba0NuQ6yBQgnFEIJmVBcoW9UBUzY5BaagiYSOR23dd9q0PGG/emCNm3aZEzNHUAXVJq6DAaDh9XKmYi/PzqKJME7z/JOy+sdaZRu4pqbmw/7fJZIafzqlhAtTRYuO29yU78/3zuGqki8+x3e8ve2d+xJX6+vcXJfu5lMPsvH32Xnuc1ZNE1g1nvpCzWycJZO5zDIBQnbeJZgfYU2rWaFJdKzaNGiaddsHmsQQnD99dezbds2/vznPx83FeHjDcftVpUkieHhYTo6OlixYsURE4dOhfgoisS8BgVdl6kJyNz+SJbZtVD6M6tl36vdbQ8m0HX44gd8uJ2TVwLGEhrf/02I3b15Lj/Xw2Xneg5YFZqIgVCeOx8Y4amXExSLghUL7Xz06iCrFjtQpjGOopSD5nA4WLJkSZng5fM6Y4kiY7EiY3GVsXglY3EfkdYMydQo2cwAzppmTGYLqgyKpKEIDadVJ+CR8PtMLA6qVHhMWK0yqZxMLC0RzxjVnXjaIDK7Q3u2nSQZhMhrF2XNToVTp96vUXrL2TzlFtfIeIWnVN2REHgdAr9To9KlU+nWafRrSFKBXAEiSYVwXGbYbMXhcRAD/rpep9qrU+XWCbo16n0axWKGVzZ3IDvqyUkV7ByS2TkENpNOtUen2qPhd+rMYCrIEcHB6IJKvkXTUdUoIZ7UeOS5GKetde9jzHc8oGRrMF3hmjffHSGZ0vjPz9RPOmW5c3eWFzelufJ8DxUe45jXdcGf70sQ8Mq8/RQHqYzOg8/nWDHPRFXAxubdgpOXqfSEG/E5NXpCJlz2IigmVEViVmWBd67V91nWoSKdTrN58+Y3Dem54YYbePHFF7n99tunPcX9LezBcUt8+vv76e3tZe3atUf0ADmYoFJJgg9eZIx9/v7eHJedaZT+Xyt+jYxpvLItxztOM+zgJ0P/cIHv/mqYWELnix+sZM2SqU3WDIXz3P6PEZ54MY6qSJx7ipt3nOmjvnr6x3zT6SxPPL2VgqggnnZw2wM99AzkiIwUyGQnPxlazBKqKiGEhSUVVlw2B7LVhJAkikAOiMQEmaE8mWSOdCpNPpPHrGjUByUWNptZtsBOwGccAwUNYmmJsZTMWHq8wpOS6Imo5SqRIgt8DoMM+V1GhWd+TbE8nZXJQzSpGNWdhEx3RKV92Phbq8loXRlESGNZo0GiYkmdG26PgcmCZbGPwTHz+O9rKPkYDZW1zG9wYFJzZAswHFcYiil0RxU6Iyqm8ZZYjcdoix1g2vm4wf50QbFYjEKhQENDw7RVaXVd8PObhigUBJceh22uUlVjuoz4Nm5P8dAzMS45x7df64XbH4jhcclceOYeQvHMqxl6Bot84r3GTdXfn8qQzQkuOdPGAy8YRoQNNSov7dJY0mKhfQCKmLCaFJDAXdzEhlfz5Urf4UwbpdNpNm3axOLFi98UpOfGG2/k8ccf56677jqi9hFvRhy3xKeqqopgcN+cmZnGVImPkRulU1Uh8d7zLPzxHzlufiCH0yaxqbXAycv3nIwefT4NwNtOmpzM9Azk+c9fDKPK8I1/qaKl6fWngMIjBW67P8rjz8dRFIl3nuXl8vMqpi1DKJvT2dWRpq0rQ1dvls7eNL2DOTTNAqSQpRQ1VWYaaqysWuzE41bxuFQSuPE6we+WqKqQ8bslLKaJvjo6mp5jLFGgdzBO33CGsYwJp9NF0WmnIBzo7Ol574zBxicKFLI57GaN2XUqi5pVKt06s6tEuYpS1GAsLTGSlMcfEt1hhdbB8eqOZFSGAi5D/Fzp1llar6HIRqsrlpYIJYwKTzgh76X5Cbp1qjwaV73dzb9+u4M6Z4rLzg/SEy7QOZglp1SxMyKzK2pMk1V7NGq8Go0VGpoO4YTMUFxhOKbQP6qiyIKgS6fWq1Hl1g55XP5YQkkX5HQ6y2Gj6XSal156aVr8gu55ZJSXt6T40JWVk2pZjmWkUqmyl9N06FcyWZ2f3zxMfbWZqy+evHK0c3eWrW1Z3n+Jr+xKXiwK7n40yex6EycstZJM6zz2co61S8zYbRIvbC1yyjITz23RCXglugYh6JXJFGVURWJBnc4Zq5eSzWYJh8Ps2LGDfD6P3++nsrISj8cz5fN1ifRMNarkeMdNN93Evffeyz333HNMTnm+0XDcEh9VVSkWZy7/ZX+YCvERQqBpWnmCad1iEy67xO/uzSJklc1tRUbjOj63jBCCJ15Os2axhYB33yucpglu+EsUVYZvf7b6dUXHQggefDrGH+4KU9Tg/NO9XP72isPW7wgh6BvM8cqWJOs3J9i6y5hOA/B5ZCrced5xlp95zS6a6q001Fgwv8Y1N5WFXz9kpi8uwcCe76uKwGkVuGzgtglcdoHbJuMPBJjVILCZioyNRgmFOkgmk7g9FdjcNRQlN11DOv1hQVzIaLKF7jET3RuM1y1VdnxOgc+p43MYxGZO1R5Ck8xJRBMSkYRR3emNKrQNGdtKlgQVzj1kKODWaKkqIkuQzkmEEjLDMXmcsBian0ves5RIKElrX45kaBtnLJuL3ZElmpQZGjOqPFv6zGzpMybGarwatV6N5Q0FaCgQTcoMjikMxoyHLBnEqs6rUeXRjutKUCwWY/v27Sxbtgyn08jROlhd0GTY2prm5nsinLzKedxpe0oGltN5gb/1vijR0SLf/WLDpHlzQghufyCG2ylzzkl78syeWp8hMqbzgcsMgvLoS1nyBXjHKVYef6UAAprrFF7cqbG0RaW9H+JZCbvdqPactMA4H1utVhoaGmhoaKBYLDIyMlIebHC73QQCAfx+/371K6VQ2jcL6fnTn/7E7bffzr333vuWH88RwnFLfI7WqKqiKOTz+/enEEKUCdnEqZ2FzSr/+j47v7wzQ7io8L2bUnztQw6sJolURtBYMzmh+cfTCXb35fnsNYHXJT2RkQI/v3mYTTvSLF9g5xPvqzqs6axcXmfjtiSvbEmwfnOC4YjhRN1Qa+HCt/lZvsiBxx4jNjbEsmXLsFgsaDr0RiTiWYET9qrmOKzw6QvzpHKQzEgkshLJjEQyawiPExmJrpBMKrf3vpUw47Lb8djr8dh18oU0+kAULdtN0KuwYpVxItW0Ao+9EOHR51PEswr+gB252U22YKFtcM92kCWBxyGoGCdFFS6dliqN1eNBiqmcRDhukKFIQmZ3SGHnwJ4KT6VbH6/y6KxoLGAxFUjnJIbjMls7dbJuGztCZuAURlt1ajwaNV6dBTUFljYYvzsUUxgYU9gdUmkfNqa/arwatT6NRbUFltYXGEnJDIwZvzcUU1BkQbVbo85ntNqm4hd0rGB/uVuvpwvy+/0Eg8H9+gVt3pnmu//bT03QzL+8r+qYG2E/EEoBrNNpYNndn+Pvj41yziluFsyZ/CK6aadR7fnAZXuqPfmC4J7HksxtMrF0rplsTvDYy4a2x+eWeXZzgdULVV7aoeN1QtcQ+H0yOU1Glo1qj3eSt6CqKsFgkGAwiBCCWCxGJBKhq6sLk8lUrvSVjok3G+m5/fbbufnmm7nvvvtm1Bj0LeyN45b4HC3sr+JTam3pur7fZPVKn8yXr7Hzizsy7O7X+doNaS4704TPI9PRW9jn90MjRW77xxirF9s4ccWBPxTPv5rg538cRheCj743yNtPm3pZeSKKRcGrWxM8/VKM51+Nk8nqWC0yyxc5eNc7Klm91EVVpWFx39HRQSqVYtWqVeWRy2QWbnlyT+XKpBgGZ04buGwCp9V4dtnBbdOp8YHTuneERFGDZIZx4bJEPC0RS0nE0hIdQwqZvBtwA80wBubeImYpjd1cwO+28t4rPMRjBZ56Lszdt/Vw6loPn/1wA8mszEhKYjQpM5qUiCQkdg/LCErxIwK/U+B36wRcgka/xspZRRTZIGahuGw8YjKbukuaIaOqVO01qjfzA33cfmuChfO9XH5RPYNjMp1hlbZhCalUvfEZ5GV20JjyK5GggTGF7qjR6qr2aNRXaCysKbCkzqgE9Y8pDI4p9I8ZmqBaryGernDox/R02MHkbh2MX9D6rSm+/6sBqgImvvmZeuy246cnODY2xs6dOw8qgHUq+M1tIRw2mfdfOrl2SgjBLfePUVmhcO7Je4jF85syjMZ1PvIu47zxzMYs6azgglOtPL2xQL4Ai5pV/vKoxpI5Cu0DxmfC4VCQJDhlCuPrkiTh9Xrxer20tLSQyWTKLbFCoYDb7SYajbJ8+fI3Bem5++67+fWvf819991XroBONzRNY82aNdTV1XHvvffOyDKOR0gHyrsCZiZdbhqg6zqFwr5kYaYRjUYJh8MsWLCg/L2pkJ7X4ub70zy3pYjFLLOyRefxF9L87N+DexkW/u2xGH/6+xg//3rdATO6Xt2W4ju/7Kelycrnrqs+pHyicDTPA0+M8OBTo4zGijgdCqesdnPaOg9L5jv2Sk8vFDS2btuBw25m7ty5e73fgmb4eiSzBnmZWNFJZiCRAU3fe/vIkkGO3HZw2wUeO3gcAo8DPHbjZxMdmHMFQ3MTS0mMjhOieEpiLCVIZOS9Rt1BJxnLYlU11i21EnBDhUvgdwnMqkGyRlMSkbg83vKSiMZlckWpvG5+l6By3H4/6NGpcIiyNicUkxkaM1pexfH3peXzhIeTXH2+g1qfjqpAJCEzMKrQP6oQyxjb0mXVqfUZBCfo1kFAOCnTP2JofXJFqUyC6nxGS0yWjdfqGzVaYZouYTPp1I+/jst6bH1kS7lby5cvP6whBF3XicVihEIhRkdHae93cvdjZhprzfznZxpwH+V4ioNBNBqlra2NFStWYLUefnJ7CVtb03z9J3186MpKLjx7coH0i5tS/Pj3ET5xtZ8z1u5pN/779VFkCb79aT8C+Pov47jsEl+61sU3fpUm6JPxelS2d+vY7So2q0xBKFgsKgsbdC5YdXiyg7GxsbKfUyaTwe12U1lZid/vf0P62Nx33338+Mc/5r777qOiYnKrgenAj3/8Y1555RXi8fjxSHxm7HbuuK34HM1W18SKz6GQHoB/usCGzZzhwRdybO2QEJLMcxvSvP3UPcx/LK5hMUsHJD3t3Vl+8OsBmmotfONTdQd91xtLFLnlbyHuf2wETResXebi/DMrWLXUOWmQYj6f58kXO3iueykWk8C5E1zlis74w27odWp8RnXHNGH1hTA8bhLp8YpOGhJp4zmeluiPSOzIgBB7L9uilsiRKBMkl10Q9Ajm1hjfU2TDryeZgdBogf5QmtBokf6clWTexvqOvU0jXTZDv1MiQvNqdU5yGYLoZBbC49WdUEyifVBhe6/xtyZFUOXVqfYKqn06C2rztO7aQQ43Jtcsnt5UIFjr5bFtMhKCgFsYVZ4KjeWNBdJ5if5RhYFRQ0+0a9CEWRVl8rKsocDKpkKZ4PSP7hE9l0TRyxsKLKsvMBRX6BtRaA+ptIVMeGyGGWOdTyvHbRwtdHV1MTY2dli5WyXIsozP58Pt9nLTX8P87dExmuskLjsjTOvOyBHJEZsOhMNhdu/ePSNRJbfdH8XnVjj31MkF0kII7ngwRl2VidNW7+lLbWvP0z9cLFd7duwuEBrRueg0O1s7NEYTggtOVrnraZ15jQpdw4AsYbMryBKcsuDwSE8ymWTHjh2sXLkSp9NZbomVtpXFYim3xKaTKB4tPPTQQ/zgBz/g/vvvn1HS09fXx3333cdXv/pVfvzjH8/Yco5HHLfE52hhIvF5rYj5YMiYJElccY6dRXNM/OWBNCaLiTsezeFwqJy60vhwj8Y1fO79XzBC0QLf/kU/bqfC1z55cKQnl9e556EIt98XJpvVOe+MCq58Z2W5WqTr+1YOStMnLbPmYfMJEplSVQf6I0Y1p6jtuw2s5hJZwWhx2fdUdxr84KwXWM172l26DoksxFIGGTIqRRKJjPH/0BikcnsTIwmjfeZ1CLwO8DrNVPrNzGsSuKwF7n+kmz/+NcG6VQpnnOxHVytIF+1EExI9EblchSpVeIIeo8pT79dYNVtgUsYnu2ISQ2MyQ6My6ztKbTITbstimqpU/Dadbet7WDjbyrsvrWVgVKZvRGFTt8rGbsOEsa5Cp8GvcWJLDlWBwTGDvPSNKOwOTyA4fo0l9QVWNBaIJA3hdd+oSt+I0eqq82k0VBQ5YXaefBH6xxR6R1S29pvZNiCocuvMqSzid06fr8pUMDF3a9myZdPmUD0WL/KjGwfZ2prhgjM8XPeuICZVOmhd0NHC8PAwPT09rFq1atotOHZ2ZNiyK8N176rEYp58e29pzdIzWODj7/XvFUHz8PNpPE6ZE5cb550nXsnhtEusXmTm//6axeuUGE2B0GEsJRk+Y7KMIkssbNBxHwbXLIm7ly5dWm73TGyJzZ07l3Q6TTgcLmcAlqbEXC7XMbV/p4LHH3+cb3/729x///0EAoEZXdZnP/tZvv/975NIJGZ0Occj3iI+B4kS8dmfiPlgsbDZxDc+6uaBZ7Pc80SG3/89zZOv5rjyHDujce2AJfyHno6RSGl8+/OzygZkU8HLm+L8/A8DREYKrFvh4rorq2ms2/tO6sb7dYZGwO0wSIpFzZNLRZndtJysbqW5SuB2gMMG8vjJRwjIFQSJNOMkxXhOpBmv6MDgCKSy+56sFFngsBp6H4fNeHbZjapMhROaggZ5slsMglTUKBOheNo4IY8ljeeOIUhlJ+4TFae1hVPOzRIaTpEpqpgKQ1gLUVZWWqhcVIls8TOSVAnFJMIxmd3DMtt6jW0vYZChKp+gyqMzr0bj5PlFMtkcL2zsRrE3kiy62NEns6VHZelJ81Ep0DEoU+fXWdJQRAgYGDXaWL1Rha6w8dqVLoMEzasucMLsPOGETO+IQu+IQt+IiiwJan0GCVo6ToJCCZneqErfqEJXRMVmMl6jyV9kdmWOeEYy/n5UJeGS8M+MfGBS6LrOjh07UFV1WnK3Sti8M83P/jBEIqXx6WurOevEPb4ur9UFjYyMTFuO2HRhYGCAgYEBVq5cOSNuvI88F8NmlXn7afsfh//HUwk8TplTVu2p9sQSGpt25bjgNAcmVSIa09nUWuDcEy2ER3V2dmm842QTL27XaayRGRoFu0PCrMq4bIKTD6PaUyI9ryfuttvtNDU10dTURKFQIBqN0t3dTTKZPGb271Tw9NNP8/Wvf5377ruPYDA4o8u69957CQaDrF69mieeeGJGl3U84rglPkeL6ZfG6IvF4kFXefYHRZZ452k2Vsw38ZM/xuns1/jBTUnMqplkIsemXRmWz99XALmtPU1Lo/WgzAjvfSTKb24dpqHByT+/r4ITlzsmdXVdNlui0gvxtCA6ViCegmyxltawBOypIMjSeBXHUariSLgd4HEYoa31AePnZnXPPtM0o1oUS0M8RVkPlBp/TqRhIGr8/7VtXlk2CJB3fBme8QpPXYVgcaPxPUWGfNGoGI0kJUYSEI1L9GCiILxs6FEBLzAbeVhg78hjkeJ47EWqK8ysmWOnyqdS0CAUkxkelRgak+gYktnWM06GJIFdyVNfOZv6SjM1vgJOK/zylhG6wzJrVvnZ2mtUemRJUO0V1Ac05tUUOXlegZGURG/UIEGvdqm82mXCadVpCug0VWqsmlUYd5FW6InuIUF1Po2mgMbKpjyrZhnVou6oQtuwSuuQ0epqChSZEyyysNYgXEcKJdfu6crdAigUdP70tyj3PDJKbdDEv3+igdkN+293TJwiKumCwuEwHR0d2Gy2w/YLOhT09fURCoWmpeU3GQoFnRc2JDlhuXO/1Z7BcIFXt2d419s9ewWVPrcxi67DqauM88sjL2YBOGutlfueyWM2gdOhkEhrBHwydpuMoshYTYJrzi7upb07GCQSCbZu3XrQE20mk4nq6mqqq6vL8TeRSISOjg6sVmt5/x5rXjjPP/88X/7yl/n73/9eDmyeSTz77LP87W9/4/777yebzRKPx3nf+97HzTffPOPLPh5w3IqbAXK53BFdXqnK8/LLL2OxWAgGg1RWVk5r2VrTBHc9nOD+Z7NYLCqakBBCsLRFZd0SC0tbTDjtMrm8zvs+386FZ/sYiDuo8ss0BGVqK42H17k3KdN1wW9vHeKvD0ZYuTJIWvYCRvXE44AKt4TPJeF1lp7B44T4SA+Z1BjLli1FkhVj2io1XsFJifFngyCVvp+dZNpfVYxx9lI1x2GTcNqM7xlTX1K5FWa3GlUkTd9DhOKvqRzFUjCWMr63NzkyJsfcDvCMv57HYRClna0xfn9LH9d/swWT1cJIQjIeSYgmJEYTTEh2FzgtRap8EtUVMpUeQZVHIMvQNZhlZ9cYmGsIJ0wUxtt7qqQzNJRkdrXgwtNs+JyCUEymNyLTG5WJxI2LktUkaAjozKrUaKjUEYJyFWhg1Gi7WU2CxoBGc6UxCh9NGSSoO6KSLUioiqChQqMpUKTGo1PQoHdEpSeqMJJSkDCqU7MCRWq82oyPvs9E7lZ3f46f/G6Q7v4855/u4drLK8vj1weLiX5BkUgESZIIBAIEg8EZ1QV1d3czOjrK0qVLZ6wi8fLmJP91wwBf+5c6Vi+ZnETc/sAYdz4U45f/UVf29NJ1wb/9OILTLvONT/hJZXT+7foYKxeYuewsG//5mzSnrzDRNiAhyzCWVnA4VFSTwtuWa6ydd2iXh0MlPa+HiftX1/VyRIrT6TyqLbFXXnmFT33qU/ztb3+jqanpiC//iSee4Ic//OFb4uYJOG4rPmBUEF6HuE0bSiJmgHXr1pFOpwmFQmzYsAFFUcp3mYd7p6EoElee72ZRi4Vf3xFjNC5QVJmtHbC1Q0OSoKVBpconEJLCnCYrWr9M54DGqzv3lJ3tVgwSFFCoqpB49qURXnhllIvO8XP15ZUMR2EkIRiJC0bjgmhcsHtAJ5Y0BMJ7UIvFVMvD23U8Th2v0yBHHqeE1yUxq9qo7Ngte4hWrjBOglIQSxutr3S5qiMM8fGY8Vws68T3LFSWwGk3hNJuu/H6XqdBkOr9Eo56gzw5bUa1LJ4WjKVgLFnSBRmPcBw6BiFfLH1+vKw+y8vtzwl8TvC5BBUuQUs1nDgfKlyQzkE4LjEYKdIfLjAYVegYsgLGBdes6jjUInPqKqkPQpU3T6EosamjyBOv5PD5HcSFmT8/ZYSn1vl16v2C0xcVcFkF/SMyPRGF3ohM26CCJAlqvIJZQY21sws4xn+nK6zQGTKcpS0mwayAxuygZuh9Eka4am9UoTOsYlEFsyqLNFdqzAkWSWYluqIqPRGFFzosmBRBo7/IrEARr336g1FLwZqNjY3TkrulaYK7HhrhtvuiOB0KX/uXWlYvObx+3VT8gg7WXfhAEELQ2dlJMpmcVp3TZHhpUxKHTWb5wskJnBCC5zakWDjHspeR6ZbWPMNRjSvONbbtMxvy5Apw3okWHl9vTMzWVCo8t11j/iyVdFFGVmTsFsHKOccW6QFwOBw4HA5mzZpFoVAgEonQ2dlJKpXC5/MRCASoqKiY0X3xWmzcuJFPfepT3HXXXUeF9LyFyXFcV3zy+fwRIT6vJ2Iu+VGEQiGEEGUSdLj+HIWi4NkNGe56JMlYXEdVYV6zlUxeYiBskDCTCouaTcxtVKmvVjCpEkNRQX9YYyCsMxDWyU2Y+jeboNIrU1UhE/BJBDwyAa9EwGtUiQCisQLrN7WjmP2oVr+hnUkKYknBWFKQSO17YMiSUc1xWCWjqmPb8+wcr+44bRJOu/Fstxp0Pl/cU9UxHqKsC0qkRbm6k9lPcc9i2iOYdtml8tcGOQOfExQFYkn4nz+GKOgKZ5wSYCwJIwmjaiTEnv3ptgsCHgi4ocoLVT5wWvJ0D8Rp60kwlrGRl/wkctZydUhBIxxOoeeyfPAyN3VBlcERmb6oTF9EYjQ1XukxC5oqdZoqdRoCOum8RFdIoStkxGgAeB06s6t0Zldp+ByCgVGZzrBCT0ShoBmVoOagxpwqI9h0KKbQGTaE0bqQcNt0msdJkN0sGI4bWWP9o8bPPeM/b/AXp2Xqq5Qx1dLSMi1ize7+HP9z0xAdPTlOXe3iw++uxOOa2fszTdOIRqOEQqFp0QWVxN35fJ5FixbNeLXh09/qIuBT+Y9P1U/6867+PP/2w0E+cmUF50zw7vnh70boGSzy43+rRJbhqz+PU+GW+fR7nXz1hhSLZqvE0jKpLGQKCnaHiqIqnL9aY8Xsgz/vlkjP8uXLj+j0na7rjI6OEolEGBkZmZaIlKlg69atfPjDH+aOO+5g3rx5M7acNzBm7IPzFvF5HRysiLl0JxkKhSgWi+Vy+uEYVBmJyXEefi6NQEKSYF6Tmf5QnlRGEAzaGEsY28GsQkO1QmO1SkO1QkOVzOPPjXHv42N86D31ZAoywyM6oRGdkbjYq7qjyOBzgUlOUhOwUltlN1pgbhm3Q8LtkLCajamreBrGEoJYynikMpDMGM+lqk4qI8Z1OvtClhkfT5fKhMVulbBbxp+tE54tEiZVkC9COiuRyo4vo9QCS+0hSYm04SU0EaoCkigyMpKjsVph3VIbFS7wOCVcNuP3RxISkThEYpSfS5UiSRK4LAWclhSz61w4TEn07DB9wwVe3R2kKNkIBJ0gq+PbUVBTAY2VgsagkfA+OCrTHZLpDsukx52p/S6dWUGd2dU6LqugJ6Kwe1hmYFRGCAmXVTC7SmN2tUbAJegbkekMGZofTZdwWY34jTlVGnaLoCdqTIWF48bFuspjVIAaKjR0YbTCusIKo2mlLJpuDhQJug/NALHksrtw4UK8Xu/Bv8AEaJrg7odHueW+KHarzEffG+TkVUfexE4IwdjYGOFwmJGRkYPWBQkh2LVrFwDz58+fcdLTO5jj09/q5oNXVnLRfrx7Sm2uX32rvjwsMRQp8qUfRbj8HCeXvs3JlrYCP7slyT9f7iCTl7jtkRzvPs/CX5/SaWlQGRqTsNpMuO3w8XcefOu05FJ9pEnPa/HalidQbok5HI5p2187duzguuuu45ZbbmHRokXT8ppvQrxFfCZDoVAot59mApqmHbQ/z0SUyq2hUIhMJlMmQYc6hhlPFvnVbaO8uiOHyaSMVyoEuqZxymoH9dUWEmnoC2n0DBXJlbQ2QqBIGmuW2KmplKkJKNQEFCo8EokURMZ0IjHBwHCGrr4EmuwmlpJJpvfd/apiVFacJcLiKBGXvR9Oh4TLJoFktLkS6T1kKDHe/tr7WZDOQeEAQyImddwvyG5UkVzj1SOXAzwOCY/DIEqKPG5ymJIYSwqefTVFR2+BYNCGyWLeh4zJkqEJqnCB3yPhd0OFS8KsQrYoaN0dJZa1ki66GE1C6fOoFTVymRz1/gy13hEqXDJ2l594wcPAiMLQCAgME8JaPzRV6jQGBRaTRG/EIEJ9UQldSFhMguZxElTt1RkYNUhQb0RGFxIOq6ClWqOlWsPrMEhS+7DC4Khh2Bhw6cytLjK7SqOoSXSGjTiMZE5GVQRNfsMputKlE8tIdIVVeqIqeU3CbjaqQE0Bo0o0FZRytyaOIR8qBkJ5rv/9EK2dWU5a5eSj7wnOeJVnKjhYXZAQgu3bt2M2m2lpaTkiupI/3RPhrodGuPG7s/cbQPyVHw0iy/Cdz+0R1d76QIJ/PJ3ip/9Widet8PNbknQOFPnvT7v57z9ksJolvB6VnmGBLqk4nCqyonDROo3FTQd3WYjH4+WMtmPNZymfzxOJRAiHw6TTaSoqKggEAvh8vkNuibW2tnLNNddw8803s2zZsmle4zcV3iI+k2GmiM+hmhIeCJqmlUlQMpmkoqKCYDCI1+s96NffuTvLb+80ytQWyzgBkowPqUmF2fUm5s0yUVmhkskK/vT3KHaHBa/Xwmh8zy5VZPB7ZfweGaspjyiOMn9OFVUBKxVuGYfNaDEZ7S1BPCVIpkWZqCTSe/5f3E9uq91qaHScdkMHZLVIWM0SNgvYLBJ2qzT+bFR4LCYQkoSmCTI5iXTWIESpjEGckmlBImNUe0rPk1gOIUlgM0OxUGR0LEfQp7B2mR23w1ieJBm6j6JmVIlGkzASF0Tj7EOMHJYitQEVUSzQ2ZOifziP2aLQ3OTE67MRTUhl/yKzouG2xPE7MjQEzbg8HiIJM90hieExAIPkNAUFs6sFdQHBaFJm95BMZ0gmm5eQJUFjpaClRqMpoDMUk2kfUugJy+V21pxqnXm1GjazYHfIMEIcScrG3wYMElTn04kkZXaHDNFzsVQlChaZHTQmcgZGFTojKqG4AgiqPQYJqvEYLtGToZS7tXz58sNq5+q64IGnxvjDXRHMJol/fk+Q09a6X/8PjxJK1dxwOLyPLkgIwdatW3E4HMyePfuIiWm/9L0eVEXiv744uaC8eyDPl34wyLWX+njHGca21XXB578fpqHaxBc+4COe1PnXn8Y490QLy+dbuP6WDBefbuaBlwSzahUiCRmb3YTPCR+9QDuo6mAsFmPHjh2HfawcCZRaYuFwmNHRURwOR7naN9UBls7OTt773vfy+9//nlWrVs3wGr/h8RbxmQwzQXxKpEfTNGRZnpETmK7rjIyMEAqFiMVieDwegsHgQQnvdF2wcUeGp9eneHlLmkLRuNj7PCYcdpXImE5p05hUSKfy1FQqvONMLzabQlGDaEwQHtUYDGUYS0I6p+4z/mxWweOS8boMDZDHJeN1ynichpGZxynjdhii7GQGEuPkKD5OiuIpQSKtk0gLsjnI5ASZnCCb54Cj1rJs6IWcdqmsHbJaJCwmCasFbGaDwFgthu5K0yUKRYMEZbI6m3ZmaO3KgSxT6bdis5tIpNmHoJWm2nwuCZ9bosJltPRkqUhndz+ZgpdwwspIXEI2qXvtnwo31AUkaivA6ZDQNAjFJPoiEBoDxrO83JYMdf4is2stmC0W+qMSnUNGDhmA3yVoqRXMqdGRZYndQzLtgwqxtJHvVe8XzK3RaAzoDMcU2oYM/ZAQEn6XQYDm1mjkihJtgyodwwrZgoTNLGipKjKvVsMx3grrGFYJJ4yprzqfxuwqjTqvZuiNIipdEYVswRhXbgoUaQ4UcU6IwRgeHqa7u5vly5cflpA/ntS4/veDvLotzcpFdj75/uq9hLfHOkq6oHA4TDQaIxoT6Lix2mswm2XWLHPh80yvSeFrkc0Zk52XnlfB+y6ZXF91090jPPhMgv/9Zj0uh9Hm2t6R479/M8on3uPhxOU2Hn4hy20PZ/jmx9w89GKBbbuLrF1s4eWdOharis1uaHuuPFVjTs3ULwnHE+l5LYQQJJPJ8f0bLVf7Si2xydDT08O73/1ufvOb37B27dojvMZvSLxFfCZDsVicNDD0UHE4TsyHs8yxsTFCoRAjIyO4XC6CweBBZdSkszqPvZDg74/FGY1rSJKEIkNDjYWaoAlJkmnvzjGWFHu9J69Lxm3P4XNpLGgJEPQrWC1G2nI6C6NxnVhSZyyhM5YUxnNCJz9JRJokMaF6YzzbLBI264T/WyUcpf9bwaRISLKEhNHiyuQM7U56/GFohvY85/LGxFg2Dwfiu0IIdE3HYhJUV6oEvAouu7Fck8kYldeFQZSyeUjnjJbbWFIwmtibkAkh0ApFLCZBfVChud6MqhqVolgaBiOMt78M+JzQEJSoDRgVrXQOuoYFfREJTZcBgc+eZ1YV1AVNFDSZrpBET8hYJ5tZMKdG0FJjOFF3hWTaBmVGk0b8RUOlYEGdRp1fpzei0DqgMBwzXrfeb5Cg5kqd4bhM66BKzzhBqvJozKvRaA5qZPISHSGV3SFjNN5qEswOFmmpKuKwCIbGjGmxwZgMSATdhhaITC/DQwOHnbu1c3eGH/5mkFhC47orKrngjOmZpJppFIuCzTuTdPZkGQjlGRzOMTCcJzKSf00+nPF5mD/bxilrPJy02k1NcPp9ZTbvTPON6/v2O8YuhOCT/6+fplozX/rwHsO8G++M8eKWLP/z70EsZolv/SqOLMNn/8nF125IsW6xic27obJCIZZRsNlVanxw7TlTr/Ycz6RnMuRyuXJLLJvN4vP5yOfzzJ8/H7PZTH9/P1deeSW/+MUvOOWUU4726r5R8BbxmQzTSXyOBumZbB3i8TihUIhoNIrNZiMYDB5cqbUvx833RNnalkUICUne0wJz2CQiIwU8LpWmegsyaXIFC6NJlURq713tsEkEfAoBr4LHJeNyyDjtMk6bhMUsI8atBEqEJZE2KjnpjChXdTJZQXr8OZsTr3swmVQwqRJmU+nZ0NlYzBNbZEY7zGQCVZHIFQQ9/Tm6+7OEokVAojJgoanehskkG8RmnESlsweqMgkQOvmchhA6ZrOMz6PidavYrAr5okQsaQioS5Ako+oT8Mg47RKyLJHJQ2jUmEQDQxNV7RP43UYoajYvGB4TJHJmBDISOm5rAa9dByRSeZVU0YQujLZVpavIrEqdKj+EEyY6hlRiaUM31Fyls6BOx+cU7B5WaB2QiWdkTIpgTrXGwnoNj13QPqzSOmCEo5oUwZwqjfm1RSocgoExQys0MKogMAhSS7BIg9+oIHVFFLrCKum8jEyB5qBgQU0R2yEMwwghuPexMf5wV5iAz8S/fqSGOU3HdvaSrgu2t6V58oUxnnk5RjxpnG88LoXqSjMWU5Kmeifz5viprjRTWWEiFEny5PNh1m/NMhQxPn9NdWb+7RNNNNVN3/u988ERbr47ws0/noNjkria3b05vvLjIT72Hj9nneAsv59P/VeYxXPMfOK9XgbDGv/xv3He83YbiiJzx2N5zjnBwlObjDBSq11FVRWufVuRminGSr3RSM9roWkaIyMj/OhHP+Lee+9l9uzZ9PX18cMf/pALL7zwaK/eGwlvEZ/JMF3E53BFzDOBkrAyFAoRDocxmUzlMfmpTJckUxrPvJLg8RfjdPTmAclIWJfkvaolqgI1lSrVlSYcNgWz2Wjv5fJGq2okrhNLaKQyYr+kQZHBYZcNU0K7QZAcNgmHTcZhk7GYDcM9kNAE6LqEphsJ58Wi0X4q6gYp0TSjXaVpxhRXviDI5Y0qTzYvyGYNUjWZrudAMEiVIWTWdJ18XpDPj28ISUJVZMwWYz0tFjNFXdojDp/wPu1WY5uN/yGagKIuUdSN6gjsqRLpukCWJVSzgtlsQpINspjPFshmciAEJouKw2nFMs4k8rkCibE0xYKG1W7CW+HEbFHRdZ34WIZCOk2VT8YXcJKTrBQ0GYtJsKBOZ2G9hg7s6lfoGDLG3z12nQV1GvNrNZI5mV2Dhj+QphuC6AW1RWYHNQqaxO6w0QpL5mTMqmB2ZZE5wQLDfa2MZm0I+xwGYwrnL81itxzcDtB1wW9uC/GPJ2OsW+7gU++vxuk4NiMGhBC0d2d58oUxnn4pRmSkgMUsccJKN2ec6GXJPAcWs172Lqqqqtrva/UOJOkZVfnZL1pRFcEXPmhjdnNwWvyCfnXLME+/nOCPP2qZ9Oe33D/K3Y/E95rmauvO8//+d4SPv9vDSSts/O3JDPc+leX7n/Xwv3cZ4rYiCpIsk9NVLCaJi06SWNY8tf09NjbGzp0737Ck57UYGhrimmuuYfbs2bS1tWG327nwwgu56KKLaGmZfL+8hSnjLeIzGTRNK4+aHwpmQsQ8UygZJobDYSRJKpOgqaQVJ1MaG7anWL81xStbk6TSAkmWDL2KwLjwqxKCffVFLoeMz6NQ4VZwOxXsNhmzSUZRJYRutKgK2h6CkskKUhmdZFonnRFk84d2CMmyQTSEKD0MsiP0EgETKIqExaIYomizjCSDpkM+LygWBQUNg2BpAMaEmbGfGddvjZtglpe67/6XJOMfqfQSkoSEhCTva28gScY6m0xG9UcTctnrx6wKPE6jcqXpEmMpaTwYVRD0Ql0AFLlIJKYxHLcjkDEpGtVeHYdZkMpJjKRNFIWC0HXGRtKMhhNIElTWuKkIOJFkGY9dZ0mTztwajeGYzM5+hYERQ9PTVKmzsEGj2qOzO6ywc0BlLLWnCrSgzqgCDcVk2ofVsjeQU02ypMlEU0BDAKaD5CuaJvj5H4d44sUEl5zj49rLA8fkZ204nOfR50Z54vkx+ofyqIrEqqVOzjjRywkrXNisxhsvGTY2NzdTWVn5uq8bjgvGohm+9N3deJwy11yiYzMfvl/Qf//fAAPDeX72H7Mm/flXfjSI2SzxzU/tMZW8bXya6+dfC2K1SPz7/8So8itcepadH/85w2krzby4Q+BwqqgmldOWCM5eMbX1KZGeFStWvCFS1F8PkUiEK664gm9961tccMEFAPT393Pffffxt7/9jXe+8518/OMfP8preVzjLeIzGQ6H+BxPpOe1yGazZa8gTdOorKwkGAy+rhNqOBymra2DiqqFDISguz9PW1eG3b05chMISkl3Y1JlTGYZVZFhPBh0Mn3Pa6EoYDUblR6zScJskjGbDH2NSTW2ta5DQRNG5aUgKBQFxYIRvVDUjItlobCnPSbJEqpcWjeDrAgxfoCKfQ9UaX+fmdd8u0SEJIzqjCRJyBIwYTm6kMb54fhxIu35WpL2/b4sGdol4/WNdTapEooiUdQlwNBgVfslnDaZTMFInBcCrGaYXQMOq0YsWWBgzEpRVzEpOnNrdeqDCvG0zM4+iUxeQpF1rOTo7Y2TyStU1rhxeWyAYFalzvJmoxW2a0BhZ79COidhtxg6oQV1Rjtr58DeVaD5tUVm+fNs27GTjNLASCFIImsQpFmVhhaowjG1U0OhoPOj3w7x4sYkV1/s513nVxxTn7VcXueZl2M88swom3cY/cmlCxyceaKXU9a4cTn3Flxns1k2btzI3Llz8fv9B7WsnR1p/t/13eQLOl/+RAOz67WyX5DVai23tadqqvfF73bjdCj856f3NS7MZHWu+/deLj/Xw1UXeAHjnPelH0XwexW+/OEKXt2R54Y7UnziSgcv79Bo79NorDUzPCohm0w4bPCZywyT0NfDm430jI6Ocvnll/PVr36Viy+++GivzhsVb0VWTCeOBT3P4cBqtdLQ0EBDQ0PZh6KtrY1cLreXYeLE99Xb28vw8DBr1qzCbDazYM6e1xNCMBrX6B8yiFDr7gy9Q3lGxoqkkkV0sW8obOlCL48LqSVJAnl8jkmTyGQ0Mpnx159w/JZ4tpiErMD+jnQJNMFEimtSMEiV2SBVhg5IxumQ8bpUqgMqLoeCzSpjNUtYLLKhE7LIhk7ILKEq0NHeiiQJFixYcMCJuqJmVLRyeaPVlssJ0llD/B0bF37HUrox1ZbRSaYEmYIhWJYlKBakPWRJlihKEr1DErKsGxUlSRhj/1aZ7mGZVFZBkhRmVUGlN088VaCt38L2XgmTUmRurU5tQCWalGnrt1JRZ8Nh0VG1DO3tI0gmG4W8m66wCbtFsKRR45J1OcZSMjt6FTbsVnh1t0qDX2NRgxGXsTuksGtQ5dldZp5HpsY9l9WzLfidWcIJowrUMazSNmSiwqHRUlVkVqV2wArQH+6K8OLGJB++qpJ3njW5wd7RQDxZ5N5Hovz90SjxhEZN0Mz7L6/i7JO9BAOTE4+SS/X8+fPx+fb/XhJZSBqdTPTx1q4uYG6znZ98Yw7f+mk33/1FL7/74XzmzfPt5Re0adOmKU0QFQo6XX05Lj5n8vVo7cohBCyYbZnwvQLDUY2LzzL0Pk+sz1HhkakOKGxpz7NuqYkNbQKHU0FWJM5ZJaZEekZHR9m1a9ebhvTEYjGuvPJKvvSlL71Feo5THNfE51AIy/FOel4Ls9lMbW0ttbW1FIvFvfJpSj4jw8PDFAoFVq1aNenFXZIkKjwqFR6VpfP3NRjLZDV6B3N09eboH84xGCowliiSTOlkcjr5gkDXQWiv8dSRJhCZ8S/k8eXJilFRslklHDYFp0PB41Jw2JVxIbOMebxqZDEbhMbvNdbR7VSQ5cPbbwebJK4qEup4DMfBIJsTDEY1BsMaXYMFOvt1wqOC3DgRkuXxyTZZYjQuEUsC6EgI7FaJ/ohM55AMWKj1Q22gQDJToHWcBNlMeRbUawR8FrrDMt0hB5UNDipdGqHBUToHC1TXeUjn7LzUptAc1Fk6S+PURQV29Sts71N5cKOC3SJYWKdxxrwkW3Z0kLe0MJRw87f1EhVOowq0dnaeNc3QGVZpH1Z5abeFV7sETQGDBPmdeztAv7w5yX1PjHHR2d5jhvRERgv89YEwDzwxSjans3a5i8vOD7BswYFde0su1YsWLcLj8RxwGSMpiYGxia8lkCWo9ULQb+aLH23gX77Wxt0PRnj/FdX7zRFrbW3db45Yz2AeTYc5jZMTjV2dOWQZ5s3aQ3yeWm8YE65bamEoorGjs8ilZ1p5fH0BVTXcy21WCUVRCLgFK2a//vZ8s5GeRCLBVVddxac//WmuuOKKo706b+EQcVy3unRdp1CYQu9lwu+XxNBHMqjuaKBkmNja2oqmaVRVVREMBg/LkfSNgkKhwKZNm6ipqaGuru6orEM6K+geLLKrq8COLp2hqE5Bk5AVQ3tVJkSShBA6EmCzKegY5ZWmKqiqkBiJF+kfMSOQ8NoyzKvTsNoc7OpXGEtJmBSBlk3T1h7D67NT3+RFR8FlEyxt0lhUrxFNymzrVegOG8dFrSfLyhaFKq9OZ8jQAo0kZRRZMDtoCKUrXUZifPuwSnfEaJN5bDpzqoo0VxZJpQp87tvdBHwmvvelBkNYfxTRP5TjzvvDPPrsGLoQnHGCl3e9s5JZ9VPQyCWTbNmyhSVLluByvX6MRkmoL0vjrU7YZwz8v37ezatbk/zuh/P3aadNxES/oHg8XtYFbdipcsOfw/zim7OoDe5bofrmL4ZIZ3S+98VawGjpffI7YU5cZuVDV3i49aE0j7+c42sfcfPDmzMsbFbZ1SfhdJlQVIUPnCto2r9mG9hjZLly5crDDmc+HpBKpbjqqqu47rrruOaaa4726rwZ8Far63BwPOt5DhXFYpGenh7mzJlDdXV12SuotbUVt9tdNkw8FFHl8YxMJsPmzZuZPXv2lISpMwW7VWJhs4mFzSYuHf/eSFxn064CG3YV6BnWyeclZMUgQbIik8kKEAUEgs5+he5hBUmSmVun4XNLDERNvNRuQ5Z0atxRVs9SSBXdtA3YmbPQgSzy7NoWwmmX8Sys4LmdJl7YpdBSo9MSTODIbEfyLGN32MF96yVcNp1F9RrnLc2RzkvsGlDLLtFeh878miKrmowqUHdEoX1Y5dUuMxu7TWTiOt6Ak89dW3FUSU9ktMCf7x7m4adHUWSJt5/h4/ILKqmunJqOZmLcwlTTxNUJb3dPu8t4qIohgL/6kiqeWx/nxluH+OyHJg8XBVAUpTzIMDFH7KVXs5hNFvRCmHy+ci9dUDypsaMjx2Xn7KlMbdhh6PhOXmmlUBQ8tynPygUmNuwqomkQz8jY7cZxNrduaqSnra3tTUN6MpkM733ve3nf+973Ful5A+ANX/F5M5KeZDLJ1q1bmTdvHhUVe5tvCCGIxWJlw0S73V4WVarqG5sHl9Khp9KuOBYwHC3y3OYCW9o1QqMCaQIJkiRpXDBljMTLsozVLFg8y/BuahuQyBUk7KYsdZ4RvB4n/TEP0YSMrutEhxNUugosW+KjM6ySL8p47BrLZwnm12sMjRpVoP4RI9B0TrXOksYifqegc3wiLJIwqkCzKjXm1xgTaLG0ROuQwtYeGYtFxWbWaa40wlLdtiN3OkmkNG6/L8TfH46i6/COsyu48p2VVHinbrw41dHs3WGZwbHSlOA42dENwvNaY8PFdUUCTmM73HTnELf+Pcw3PtvEuhUHF9Xx3f/tZ2A4x+evkcphm5WVlVRWVvLCFp1f3TrCf3+hhuZ6gxD95KZRuvoL/OTfKnlpW54b707zyfc4+NMDeaoDCv1RGYfLjNkk8dnLjEy8/aFEelasWPGmID3ZbJarr76aSy65hI997GNvimvIMYK3Kj6T4fUOwDcj6YlGo7S1tbFkyZJJwyMlScLr9eL1esu27KFQiO7ubsxmM1VVVQc1WXK8oLRdjnY69MGgyq9y2Vkql51liKtf2V7gqQ0F+kIFhCQbLTFFopDXAY18TuKVXQqSpFPrh8VNMpGYhbZwLXJUUOWMMM+XICtVoshuBBLPb85Q4+zhzNU17Bq08dR2hWd3Ksyr1VnbUuQ0U5HtfcZEWNughQqnzpJGjQtW5EhkJHYNqrQPGf4/bpvOvBqNfDzGvXcM8JmPzEJYnOzoV9nebyLg0miu1GjyF6ckmj0UaLrg3kei/OnuYdIZnbNO8vK+y6qommKFp4TS8TIV7YrLKtDc+rhg38hakyX2POTS1wLnBP+jqy+p4h9PjPD0S7GDJj5jcQ2/10xzc31ZF1RqbT/ytB2vy4LXkUIIE+msYHNrjnNPsiPLEk9vyFPpkxmJGwHC6byM3a6iKDJvW6HjtO3/PBmNRmlvb3/TkJ58Ps8111zDBRdc8BbpeQPhuK74CCHI5/P7/dkbScQ8FfT39zMwMMCyZcsO6aQ00TCxVGKvrKw87kWLg4OD9Pb2Hna+1LECIQSb2wo8+nKBzgEdZBllvBpUKjmoJhlFVbCYBItmSSiqQls/5AoSFY481c5hkhnoT9Sims1IaJywAJqroGNIYUefTL4oUenWWTZLY06NTndIYWuvQiRujLbPq9VY3KjhtRtVoNYBhaGYghCC6HCcq95moSkgyBUNQfTukEosYzhS1/kMElTr01CmqRO2uyfD//yun9bODKuWOPngu6tpbjh4E71wOExnZycrVqyY8RuA7/2yh62tKW76yYKDOkd97GudzJ9j5XPX1ez1/UJR8KGv9rJuicxZq2LE43G6w5Xc/7yTr3/Mi8tp4uu/jHPJmRZe3iEwqTKxnILDaabCBZ+8mP2G05ZIz8qVK99wN0aToVAocN1113HSSSfxxS9+8U1xDTnG8FbF52AghCj7+7wZhLxCCDo6OkilUqxateqQdTsOh4Pm5maam5vJZrOEQiG2bt2KEKLsFXS8VEvA2C7d3d2MjIywatWqN0wrT5Ikls8zs3yeGV0Int+U57FXCgyPCGRVQVFkikWBphXJ52BDqwKSRkMl1NbLDI2a2D7cgEkusqA2RWdPiJGsj+d32HlxJ8yr17hgVZFERmZLt8Kjm008vV2wqEHn7CUFNB229qjs7FfY1qtS7TXaYOevyJPISvzmnhQ+v4fHtql7glJrNBbWFhlNSXSGVboiKr0jKmZV0OjXaAoUCbp1DmVYL5fX+fPdIe56IIzbqfKljzVw+gmH5ow8PDxMT08PK1eunDQmJp2H1iEVVSmJl43qzrj1k2GOKY3reiaMsxd1w+izoBki8AU1xpDFisVOnnopxu6eLHOapkbShBCMJYp4XPt+znd1ZsnlBSetrGDx4nqEEDz5mzAeZ5HIwEYe7qxGktzYLEZIsddrJK9LElx9ltjvtOSbjfQUi0U+8pGPsHr16rdIzxsQx/WV4LUH45uxtaVpGtu3b8disbBs2bJpe89Wq5XGxkYaGxvJ5/OEw2F27dpFPp/fyzDxWN3GQghaW1spFousWLHiDUuAZUnilBUWTllhIZvTue+ZPC9sK5DJSSiKUQnK5TRA0Dus0BsGq0mjxpvA4apg+4ALVBeNNUW2bhvC4bbShotdfSoVzgJr52oEvDJbexS2dMts7FSo9+ssb9Y4cV6BtkGFbb0Kj2w288wOwYJ6DS2dZGt7iC98bDatQypb+1S29JqodOvMqy6ypL7AylkFhsZkgwSFDWG01SRo8hdpDBhTY1M5tAZDeb79s266+rKce5qPD727+oBTUgfCwMAAAwMDrFy5cr8kuahJJHMSRU0qC5fLz/vcoIpyq0uRDPduk7K38/WJK9388o8DPPTUKB9//9SIz3CkQC4vqKval4Bs3JFFVWDxXKNKm8kJWrt1zjnJydp1J3Dbc2O01BZ44pU0dpsZXVIxKTKnLNIJeCbf4JFIhI6OjjcN6dE0jU984hMsWLCAf//3fz9mz3Fv4dBxXBMfGI8cEOJNSXry+TybN2+mqqqKhoaGGVuO2Wymrq6Ouro6CoVC+USYyWTw+/0Eg0Hcbvcxs801TWPbtm3Y7XbmzZt3zKzXTMNqkbnibVaueJuVXd1F7nkyR89wAVkxqkC5cS2QVoDOggcpojO3DlxOhd2DKsGGIMVcno7WKMvmmykUbDy4wYpJKbCgJskVJ5gZGLOyuVvhvlcMY8SlTRoXrckTSxti6E1dCq66RmpsSQoanL04T74I7UMqrUMKz7aaeb5N0BjQaakqcmJLHiFgYFShO6rQHlLZNWTCbtapr9Bo8Gv7rQRt3J7kv3/RgwC++flZrFn2+qPm+0Nvby/hcJiVK1cesGLqtglOnTv5QIWYQILKo+yvc+h53CqnrfXw6LOjfODKqnIsxoHQ1mVkas2btW8LeltblrmzLFgtBtHfuCNHUYO1S6xsbi2QTMPCdW4efKGIw2XCZFawqjkcuVdpa9vXLygSibB79+43Fen59Kc/TX19Pf/5n//5pjl3vNlw3BMfeHNWelKpFFu2bKGlpYVAIHDElmsymaipqaGmpqbsMdLb20sikcDn85W9go7WPigUCmzevJlgMDijZPBYx/wmlS9do5LN6dz9RI4XthUoFo0KUEFIFDRDYNw5qFLQNKp8MKdJZmDEhGoJMJTQIJ/m/FMk+kZktvS52doHQccIyxuzON0V7Byw8WKrwkutCrOrdZbNKnLqQsHND2Sx2Ow8tNGM1WRogRbUaSxpKBJNSrQPqXQMK3SFLVhUQXNQo6Va49R5eYo69I0o9EQVOkIqrUMmLKqhCWrwa1R7NFQF/vZwhF//ZZD6agtf/0wTtVWHrt3q7u5mdHR0r8qgEPBMmwWzKoyHIjCrYFJK/weTKvZqb8mSYNzAHB0jcDevSeSLkhG4+5qvl9QWMKlw+gkeHn9+jN09WRbPe/2R+V2dWSxmicbavd9zKqPT2Z/nivP2TCw+tT6D3yszu17lu79LEvDK7OzWsdsVJFnBbdX40DtNuKxriUaj9Pf3s2PHDtxuNxaLhWg0+qYhPbqu84UvfAGv18t//dd/zUiVuLe3l2uuuYbh4WEkSeKf//mf+cxnPjPty3kLB8ZxT3zejCLm0dFRdu7cOWVDtZnCRI8RXdcZHR1laGiIXbt24fF4yl5BR6rNlM1m2bRpE83NzQSDwSOyzGMdVovMleeYWVDVyu5QJS+1ukhkQFEVckImX9AwKYJkWuWVnTp2KyxqlBgeFUQSTh7eALU+jUtO0BgYkdnUWcEjOyTcliT1zlbObjERzdfSOmSjY0jBYxfYLDkee6CNr/zLLEJpK1t7FDZ3qwTcOgvrNFY0FVg3p0D/qEz7kELbkDEe77DozA5qzK7SOH2+hqbDwJhC74jx2B1WUWSBVMjywkadk9f5+cy1Vdhth6ZpE0LQ2dlJMplk2bJlex2nmm4Qm3ReIpaRyRcpB84eLhTZIFJ5TcKkCvw+Q0s0Fpta7mBnb47meguKsvf67NydRQhY1GJUgnqHCmzvyHPV+U62dhTpHtQ490QrT2/SsTlNyDK8/1wZr0MC9vYL6urqoqenB7PZzPbt28uj8m9UAqTrOl/+8pcxmUz86Ec/mrFzlqqq/OhHP2LVqlUkEglWr17Nueeey6JFi2ZkeW9hchzXxKe/v59vfetbXHLJJZx66qlvGPHqgVCaUFq5cuUxNW0lyzJ+vx+/3182WguFQrS1teF0OsteQTNlmFhy1124cCFer3dGlnE8olgssmnTJqqqqlixopbLz4MdnQVufzTH8IiGoioIXWYkpqEqAptLZUOroUtpqSvS3pOnT7Nx21MSNRU6ZywxCMCG3Q62R+fRGdeocw8z39EL/noGUtWE0m5OOGsBz27PcumpRU5fKAxy06/w9A4Tz+5UmRXUmVercfrCAppeoCeisDuklPVAbptBgpoqNU5u0dAFhOIyr7Zq9CRk1pwyC4BHdudZnbcAAE69SURBVOjUejWqvDpBt4ZliqeAbF7wzPY8Kl5aGltI5QUOsyhPNKkKnDh774lRTadcrSkUJfIaCCHtrfMpi5olVNmoEu1VMVLFXgaHQDkbbDA8+YTqRAgh6BnIcfKqfW941m/NYDFLzG00Xu+h59KYTXDGGhvX/yVFwCuzvUvH5jChKDLnrpYI+vYlc5FIhHA4zMknn4zJZNorRwz2+AVN1dDxWIeu63zjG98gl8vxf//3fzN6o1aqlgO4XC4WLlxIf3//W8TnCOO4ZgrBYJBLL72UO++8ky996UuccMIJXHrppZx22mlvuDuT0t1pLBY75ieUJEnC5/Ph8xkBjIlEglAoRGdnJzabrUyCJpuaORSU8oIOxl33zYB8Ps/GjRtpamqiqmqPFe/CZhP/8WETPYNF/vRglr6QhqLI6IrMQFhDlQX11SodAxKaZEHVskQiBWTh4N4RFYdVsLpFI7hQYluPRPtQLZ1yDc2VGWY5O6hWEry4uxndVcHtzymG90+TzoWr86Rz0rgnkMLuYQWrSdBSozGvVuPcpRr5InSFDRK0qVtlY7cJp1WnKaBj0tL89retRnvr83OIpkwMjJZ0QRIg8DkEVW6NKo9BhMyTfEyEEOxs6yFVnE1B+Ih0lH+CzSywmw0SZLcI7GYdu0VgUfeQGKtJIEkH5/Sh65DXIJUzjCUzeYlkTsZqEswJgt+n0tWbfd3XGY1rJNM6jbV7n99yeZ3nNqZYt8yO2SwTT+o8tyHDKStttPdqdA9qrFtiYVu3hNUuU+WDM1bsS3pCoRBdXV17TbU5HA4cDgezZs0q+wW1tbWRzWYnzRE7niCE4Dvf+Q6RSITf/va3R3QIoquriw0bNnDCCSccsWW+BQPHtY/PRBSLRZ588kluv/12nnnmGVatWsUll1zC2Weffdx7t+i6zo4dO1AUhXnz5h3XE0olw8RIJIKqqmWvoEPdR8PDw3R3d79hPHqmC6Uk8blz5+L3+w/4uwPhIn/6R5auIWFEZIxPg6myoLlOIZqQSWUhl81jU4rMa3HSFTJcmxc3wcJG6I3IbOkyNCzVPh0HY9x2T4hzTjejumuI55yGA3SNztJGjTq/oH9EZle/QmdIRtMl3HadudU6LTUafpcgk4feqEJXWGFgREYTEvlcgZYaQUuNoNanYzEZlZhIQiYUlxmOKYQT8nhbSuCxCfwuHb9TJ+DU8Nh0du7cjtlspqWlBU2XiGdk4lmJVE4mlZNI5yXSOYOc7DupBRJ7SJBJESjyBMfmcuXHqAQZVSKJgjYZKRDUeDVOmZvnP37UychYkZ//v7kH3Fcbd6T45s/6+eZn6lm2YI+1xDPrU/zPzRG+/okqlsy1cvejSe56JMl3PuPn139NU9QgU1CwOKyoCnzlahmHbe/zSMnIdMWKFVO6KXltjpjb7aayshK/339cROEIIfj+979Pe3s7f/jDH47ozWQymeSMM87gq1/9KpdffvkRW+5xhhlj0m8Y4jMRmqbxzDPPcOedd/L444+zZMkSLrnkEs4555zjyocG9oh1A4EAjY2Nx+Vd1f6QyWQIhUKEQiEkSSqPyR8oHmAienp6iEQiLFu27JiugB1plNp+BxvNMRAqctP9WXqGhWGIqBgj8aoKcxtUQmOCZFZGLxZZ3iLjcpnY0gWFokRjpWDlXGPce+NumUhcQtM0iqkk7387xGKj7Bq0Es4GKeomXFadxU1GFpjNYpgmtg3K9EdlBEYifEu1RkuNjtcheOqlODffl+Btb6sjL1nJFyUkSRB06zT4jQmwCqchLp5IhCJJg7jlisbnRkLHYcpSXWHCaxd47Doem47VtO8Eli4gmzeIUEmUnCtK460ug9DkNQltPJR0j8h5j8ePIjNeLRJYTJTF0vbxylLJvPG3tw5yz0NR7vy/xajq/j/j9z42yo23h/ntf8/G59lzzH/nhmEGwwV+9rU6ihp8/vthmutMnLTSzu/+lqa53sxYzowsS7z/XJnFzYdHel6L10bhWK3WY1oXJITg+uuvZ8OGDfz5z3+eturzVFAoFLjwwgt5+9vfzuc///kjttzjEG8Rn0OFruu88MIL3HnnnTz88MPMnTuXyy67jPPOO2/SSIdjCaVAzTeDWDeXyxEOhwmFQhSLxb28gl4LIQRtbW3kcjkWL158XFfAphuxWIzt27ezdOnSQz6+O/sL/PH+LEMjlNPiVZOMIkvUByX6QxqK2YwiCU5YJOF0yGzulBhLSrjtgjVzodoPT2zQCCdNyLJMvV+wYo5OvS/Nts4MrYM2xvIeQKLGW2DpLJhbq1PUYPew0QobHDX2a4VTp3VHmOjwGD/6SiOyJBGOy/SOyPRFFaJJ4/esJkG1V6fGp1Hj1fHaRbkSk8gINmzvQzcHKEheYmmZ/IQqjEU1SJDbJnBYdBwWUX7YzOKQjBUngy4gnTO8gJJZiWRWJpmTiAyM8uvf7+aPP11wwDyx/7lpiJc2Jbnph3PKN0HhkSKf+nY/l5/r4aoLvDz+Uprf/TXOF6718ueHciiKRB4rJrPC0ma4+py9qzEl08ZDJT2ToaQLCofDwLGlCxJCcMMNN/DMM89w2223HVFiJoTg2muvpaKigp/+9KdHbLnHKd4iPtMBXdd59dVXueOOO3jggQdoamrikksu4YILLjjmQitLF7DjJVBzOlEoFMokKJvNEggECAaDuFwuhBBs27YNq9VKS0vLG6oCdriYmEc21arZgbCtI8/N9///9u48Pqr63v/468xMJvueTMjKFsIecEGKilVQVLYJ4kLd9WJtvVar1VqXtvZa4WfVqr22eutS99ImE9YgIKhVFBeQABEEWbOQZCb7JJn1nO/vj0OGRVSQJJPJfJ+PRx5ZGGa+2ea8810+HzetnUogAEVE6A1SoyL8ODsEMXFRGI0wPt9AbobCzmqFfXUKJqNg7CDYtrWB2maFkaPTcboNREYIRucJxg3RMCk+Nn/tZbc9Gpc/GqOiMSjdy5hBBgZaBJ0ePQRt3Sto80SgKHrH+CEWjcEZKhlJ+oxJp0c/Al/bYqC22UCH53AQykxSSYtXaanfSV5GNIMG6p3QhQCXT6G1U6G100Cry0BLp4LTdXh2qItyaO9PtPnwEpfJoJ/OMhr0buyKIlCFgnZo9kftWu7S9Lc9PoWOQ4FHHHE6TEEPV66mJl5/cw+2/xsdqMFzLFUT3HzfXgpHxPCr/zrcqqJ4VQu2Na385aFsUhON3PfnBmKjFSYUxrL0P26SUqIxmSNIiRPcM8941O/MkZWqe2rWtKsAqsPhCPq+ICEEL730EqtXr6a0tLTXl8fXr1/P5MmTGTt2bOAPtgULFjB9+vReHUeIkMGnu2maRkVFBcXFxaxcuZKMjAysViszZsz4Rkfz3ta1EbiwsLBbLmChzO/309jYiN1up729PTAbNHz4cBl6jtC116m7+0tpQvDJFg+29zy4vHo/MJNJwRRhRBMKXo+XiAiF2LgoVE1h5EAYM9jAwUaFLfv0pS9XuwvF42T+FelsrzLwVbWCqikMSBYUDtYYmSNodAo27/azvyEKv2YiwuhncLqHwsEmPv7EzqIVjTx83yiqmk1UN+h7eMwmQW6qRl66Rl6aSmzUodkdt0LdoRBU23I4CCmKICVWkJagkR6vkRqvzwqZjtmO4leh06sHFT2sGAKbkr2Hlrj8Gqiavsylal3LaOKIhqR6XZ+u980mvUFpXJQgLkoLvB0Tqc8m/ePfdSxb18iiZ0cRGXH8n+sde1w88EQVd988gMkT9Kammia44481DEiP4KGfZ/DJFhd/W9TKf81N5N9r3cTFR2EwmzEZNB641kj0EaGqrq4ucEK0t5aKg70v6JVXXmHp0qUsWbIk7J9bQ4AMPj1JCMGOHTsoKSmhrKyMxMRErFYrM2fOJC0trdcusEf2lho7dmyvrjv3dV01elJSUvB6vbS1tZGUlBQomBjOy13V1dXU19czbty4HruAqZpgwxY3xWu9+LRDAShCwWw24lcVfB4veZkRuNUIOj2Qa4GJIw14fLC+Alw+AyaDxjmjFUYNgiqHvhfI0apgNAiGZQnGDhLkpgkqHbBtv0ZVoxlVGNH8Xuqqmrl9XgK5FgN+Vd9MXdlgoNJhpMOj/36mxWvkpmlkpWhkJmsowkd5eTmWzMEQacHhNOBoM9Dg1Buw6gTxUfppsKRYfT9RUoxGXJQ47r6f49G7snPCy2GaBu0eBadLoblDobHdwK5KFUxmJg7zU5h3/Ho+L5fYefs/rbz6pyGB2kXlO1ws/LudO65LY9L4GH77v42ommDowGgq9kN0XBQIuONyhazUw8Girq6O6upqxo8fH7T9cV37ghwOB42NjT2+L+jNN99k0aJFLF++POT2eoYpGXx6ixCC3bt3U1JSwvLly4mKimLWrFlYrVYyMjJ6LARpmsbOnTvRNI2RI0eG9YX8WF1VqocPH05ycjKgf726agU1NzcTHx+PxWIJmRMl3aGr0Fxraytjx47tlc/brwpWf+yi7CMvKAYMBgPmCAXFaEBgwKSojC0wU9ek0OSE5DiYOFLhg8+aafVGEZ8Ui6LA8Bw4PR/ioqHigIHtlfopqtgofSls9ECN5FjYU6+w/AM3xpg4fanN4CMn2cWogSaGZBoxGqDRqQRCUF2Lgib0jc8xBic5aZCfE8WAJP0EmP51g1aXQnO7QkuHgeZOheYOA22dylFFCo0G/eh6tJnAUldkRNcyF5iMh5e6upa9umr4+FW95o/Hp+DxK3h86EfY3d9c7oo2C1obO7Db27ntyiTSE775tCuE4NaH9pGXFclD/50d+PhjL9jZU+nhr7/P4fMKN8//q5UZ58fx4TaIS4hCaIJrLzIwdujhn43a2lpqamqCGnqOpyf3BRUXF/Pyyy9TVlbW5/d2SgEy+ARD1wyMzWZj8eLFGAwGZs6cSVFREdnZ2d0Wgvx+P9u2bSMpKYlBgwbJJZwjtLS0sGPHju/crCuEoK2tDbvdTmNjIzExMYFaQX3pib07dW3w9vl8QQnKHq/Atq6DD77Qe4EZjAZMJv0ItynCRHQkjBpspK1TodKuhwRXWwfNTR1cPMXCAYeJTo9CUpzgjHwYOxjqWxS27VfYU6sHkNR4wcg8jeUrDoDm57+uz+erKo0DDhN+zYhBUcmId5GfZSA/20hSrN4Bvcrup3xnI37TAJo6zIEwkxSrYUnUT4KlJ2qkxQsijvjx0DRocym0dOoBpdOj4DpUc6frxeM7uQrOCvpprkiTHprio/UZpq7XiTEaMZHw+z/vp92tcNvNg6lpMmA2wY8KDs/87D7g5t7/V8nt12Uw9Wx9z5+90ccdjx6k6MIELp+WxG+easBsVvAZojFGRiI0wfSJCj8+7fAn2VdDz7G6c1/QkiVL+Nvf/haYzZdChgw+wSaE4ODBg9hsNkpLS/F4PIGZoFMJK263m61bt5KXl8eAAQO6edShrWuv07hx4064SrUQ4qhaQWazOVArqC8eq/0huuo6RUREMGzYsKAG5fZOlX8s7WTbXj/GQ81QQaAYFCLMEUSYYMwQAyaTge0HBH5VwdPp5pKJEQywRLB5j8L+en2GpiAbxg+F7DTYfVBhe5WBKgeAQmdbJ5dMimRkniA+GqobFXbVwL56hU7voUJ7Zg85KV7o3M8ZozPISE/Ep0J9i4G6FgVHq4H6VgOdnsPLXAkx4tCx9kMvsfr7cdGHj5ofSxyqz+PX9H5c/sBeHw53Yw8cY//mcpkQesBytOljamhT2F8nMB5KYSajYGiGxtRCX+D2r9gcrHy/mZcfG0p8rD5788ayZsr+08b/PpTN+1/4Wba2hfxhSbjUCDRV44xhcOXUw8vltbW1HDx4kPHjx4fUrOip7AsqKyvjqaeeoqysLDBbLIUMGXz6EiEE9fX1LF68mNLSUlpbW5kxYwZWq/WkLkROp5OKigrZZuE4qqqqsNvtFBYWntJep87OTux2Ow6HA4PBEDgm35fafZwMVVXZtm0biYmJfWp2sL5R5f9KnFQ5BCaTHoCEJoiOVsAYofeQGmQgNho27VQxRUQQZRacNcJAfo7CAbvClj3Q7taXu8YOhtOGQnQkrPzYw9a9EJ+kL3mkJwiGZQsKsjUsidDaqbC3TrCzyofdGY3ACAiSY/zkWRSyUwXZqRpxhzY/d3igoc2Ao02hqd2gn+zqOLrIoKLoS1wxZkF0pCDGzKHX+pKXyai3teha5up6ohQCfKo+M+T2Krh9h94+4nVLhxLYY2RQBCnxgl27WojAyw1FyaTFC5rbFSodBvbWGyjIUnnm+a8pGBLNfT/NQlHA2aFy+yM1jBsVS3ZeCl9VG/C5vajCgN+vMWSAxs+KzIGfj4MHD1JbWxtyoedYJ7MvaM2aNSxcuJCVK1d+bxFPqU+Swacva2hoYMmSJdhsNhwOB5dccglFRUWMHDnyWy9MDoeDPXv2UFhYKDfaHUEIwZ49e+js7GTMmDHduoTjdrsDx+Q1TQuEoFD5+h/ZdysnJyfYwzmu7Xu8vLSkA6dLwWgyHApAGhlpJjx+Iy4vWJLgQKWTmFgzkXExCKGQnw1nDjdgjoBt+xR2VutLShlJguE5Gn974WsunJzM6adnsKvGQHUDCBQSYwRDswSZCZ201m1h9OhROL3x7K7xUN0Aza5YNPQLfUK0hiVJ6MtdiQJLokbsofwrBLi8eohq6dDDUKdH35fTVcW50/PDGpV2LXNFmSEyQpAQLUhPEKQnaKTEC1rbfMy/fw/TL84hOy+JSsfhWamUeI2MmE5eerOSy615NLqjuH6qyr/Lmti0WyE7L1kvpuhVUVWB36+Rmya488rDx7T7S+g5niP3Ba1evRqPx8Pll19OU1MTDz/8MGVlZf2+Blo/JoNPqGhubmbZsmWUlpZSWVnJtGnTKCoqOqpuwxNPPEF+fj7Tp0/vN8sv3UHTNLZv305ERAQFBQU9OpvRtYfAbrfj9XoDtYLi4uL6zCzKkb6t71Zf9c6GTkrfdaEKA8ZDM0AKgmEDI3C6FBrbQPX7UXwuLpiUyI4qA60dEBsF4/MVRg/Sl4K27YPqBv374enopOj8KEblKRgM8PVBhV01CgfqFfyagsGgnwobMkAwOEOQnqifRtt3sIM9NV7qW0241Hhc/sOzfTGReghKjjt0ouvQS0I0HJu5hdA3LLu8+uZlfalLX+YCfUlLUcBkOBxyIiOOPu2laeB0Q2uHvrna3mpgV7WGV9NnNaPNgrx0jYHpGlnJGnUtCss+9KIZo1AMCoMyNJKjfXywVWCOjCA6QqW5TdNnmnx6f7JfXxsV+Bmuqamhrq6uX4aeY9XU1FBSUsLSpUvZuXMn11xzDVdffTUTJ07s9597PyWDTyhqa2tjxYoVlJaW8vXXX3PBBRdQVVVFe3s7b731lqwjcQS/38/WrVtJSUlh0KBBvf7YDQ0N2O12Ojs7SU1NxWKxkJCQ0CdC0Mn03epLvD6N11e0s2GbD4PhiB5gRoWRQ0y0OAX2VgNCCEbkwuihERyww44D+n6Z7DQ4Y7jCQIvCmk/d7KgyEBMXBQhy02FELmQltnGwcgepOadxsDmKvXUKjlb9exZlFuSk6WEoJ02QkSRwuzqoqW2gst5Np5qAakyl3RdLW6fhqKUug6Lv/4mPhtjIQw1LI8EcIYg0QYRJDzgCfRZIHOrM3nW0XQgCJ7naOrsKJSo4XRx1oivKLGhr7qDZ4eSu61NIS9CP+lcc0EOd16/3J0uO9HDG6Cgq9kNtk/6xpDiFpjZQ/Ro+n0pSjMZDN0djNBwOPV1lDsLlwr9hwwbuueceiouL2bFjB0uXLuWzzz5jwoQJzJs3j4suuijYQ5ROnAw+oa6hoYEZM2agqiput5sLLriAoqIizjrrrLB5Uvo2Ho+HLVu2kJubS2Zm5vf/hx7UtZHSbrfjdDpJTk7GYrGQlJQUlBIDP7TvVl/iaPbzf8VO9tVqeg8wg14AUVEUBmUq7Kv2YoqKwmAwkJehcOYIIxoK5V8Lapv0jcLDsuGrHQ6qajr4ydxBVDcZqWs+VL8nQWNknsLQLMhJ0ys5769XqHIoVDXoMyugbxrOShFkpkBGkiAp2o23s57GBgd+v0pC8gBMMRY8agytnXqNnXaXXsTQ5eFbGo1+v5hIfeN0whGbqBNiBMlxAo/Lx22/38f552UyIDuRA3a9UGKkSTA8R7BndxMVu70MH2XB6VIwG1XsdhcxsZGoGvh8KpoqSI5ReeCmGExGfYzV1dXY7fawCj0bN27kjjvuYNmyZeTl5QU+rqoqn332GdXV1VxxxRVBHKF0kmTwCWV1dXVcfvnlzJ8/nxtvvBG3282aNWsoLi5m8+bNnHvuuRQVFXH22Wf36SOmPaGrRk9BQUHQK2YfS9M0mpubsdvttLS0kJCQEKgV1BshqDv6bvUlFV+7eWlJB22dYDAYMBoVzJFGNE3BhA9nhx+LJRaPaiTKDGcMNzA028DBJoWtewStHaCpGsLbifU8DY+zksjkMXx90EilQ59JMZsEgzJgaBYMGQCpCfpm5uoGPQjVNCo4Wg9XW44w6kti6YkqkUobfncTiuokMz2W7AEpJCUdPj7t84OnqzmpXz/RZVAOL3Epiv5M3fV2ZIReBNFk1GeA3F5o6YCWDoX6ZoW6Zqi0g4b+s5QQIxiUIRiSoVd1/nSHSvleBZPJSF66IMbsZ+MOFVOECTQVj1egaYKUWD8P3RyLwRC+oae8vJyf//znLF68mCFDhgR7OFL3kMEnVFVVVTF79myefPJJpkyZ8o1/93q9rFu3juLiYj799FMmTZqE1WrlvPPO6/eVm7su7GPGjCE+Pj7Yw/lOXadJ6uvraWpqIi4uLhCCeiKsdnffrb5C0wQfbXbxz1UdePx6AUSTSSEm2oTHB36fn7hojeFD4/i6WuBXIdeicNZIIymJCu9t8rCvzoApwoTZJCjIVRg1UGHQAIW6ZoU9tbC3lsAsT3y0ICcdctMgJx0yU/RQ0tAG9haF+hY9hNhb+EaPLoOiEWl0ExupEhcTQVxMBOYIhUiTvuSl9+3S708Th/cAebyHT3G5vNDWodDSwRHVovWltPRE2PFVM3FmH//9k1R8fthVA9v2Q0OrghCCjtZ2Lj07mop9UNsEfq8PRdFbgah+lbR4jQdvjgkE8aqqKhoaGigsLAyb0FNRUcH8+fMpKSmhoKAg2MORuo8MPqHK5/NRWVnJ0KFDT+i2//nPfygpKWH9+vWcccYZWK1WLrjggl5vptfTHA4He/fuDcl+ZEIInE5noFZQVFRUoFZQd4TVnuq71Zf4/YK1n3RgW9uJxqECiEaIjTHi9un7foblGsjLNLPnoKC2Ua+rM3iAl8q9dg4cNDB1Shb2NhPOTn3mZUgWDM9VGJatYDLBvjqFA3aoduizLKAfPc9MgaxU/XRZeqL+OjJCnxlydkJbp0KbC5ydCq2dghanSqdbw+sHTZjwC+NR+3SOx2zSNzZHRUBCrCAxlkMbpyExVpAYA+987MT2ThvnTrLQ5o3A2anf50CLwNvRwSebneQPS8XpNqCg0e70YIqIQNMEfp+foZlwx09iA3t6ukLPuHHjwqby+44dO7jppptYtGgRo0aNCvZwpO4lg0+4UVWVDz/8EJvNxnvvvUdhYSFWq5ULL7ww5ILCsaqrq6mrq2PcuHH9Ylaro6MjUCvIaDRisViwWCw/KKz2Rt+tvsTjFSx918nbH7lQDHoA6ioAqBhNGAwG0pIUxgw10dbeye6DEbh9EQhNo72lnYsnRXFmYSw7q2D7foG9Rb/fhBgYmq0wLBvysxUURaHKAdUNehCqbTp6z058tCA9SQ9CSbH6/0849DouSj/hdTjwOrA7mlCMkSSlWEhJTiEyyowCmCMg0nT4RJiqgcujL3HVNcHBJqhtBHvL4aPxUWbB4AEwNFPfOP35Dj9fVenLgWmJ0NHho9mpXwX8fhW/T2PyOCPzLo4OLMOFY+jZtWsX119/PW+++SZjx44N9nCk7ieDTzhTVZVPPvkEm83G2rVrKSgoYM6cOUybNq1b+tj0FiEEe/fupb29nTFjxvTLqXiXyxU4Ji+ECISg7wurwei71Zd4vBpvlbXxn41uFKMRo0nf/Cw0jdhYE6owoiiC0YNN5GWaqG/W2LZH0/uFKYKxQ42MHWogK1UPOLtrYHeNoNOj339qAuRlKORZ9NeWJHC6FBwtYG8FRws4WvUX/zGbmBVFP90VF63PDJlNejDTNBWPx43H4wEhMEREgxKFVzXg9up7erzHLJ9FmQVZKdDY0MHGLxqZf0UasfFRfH1ovC4PCE3D1d7JyKHRfF2l6f2/VBXVL1D9GldeGMEFEw7/PFVWVtLU1ERhYWHYhJ59+/bxk5/8hFdffZXTTjst2MOReoYMPpJO0zS++OILiouLWb16NYMGDcJqtXLppZeSkJAQ7OF9K03T+Oqrr1AUhREjRvSJY+I9zePxBEKQ3+8/qlbQkYQQ7Nq1C7/fH/YNal1ujZdKW/h8mweDyYQx4nAASk8xIRQj7S6IMsPowUb2HminxqGRkh6vL5kZ9Bme4XkG8rP1XcZ7a6GyXlBph3aX/jgRJn3PT1aqgiUZMpL1MBRlVvR9OZ3Q1nHo9aGXdldX41G9Hk/XsfWuF6PiA82DSfERG2MkKT6KhLgIoiMVEmMgPUlvcLp9r4+XSpvJyExEVfQZz/gYGJIJ5V86aeuA6NgoFAXcLr1fl6ZpKJrG7VfFMnLI4VnScAw9lZWVXHXVVbz44otMmDAh2MOReo4MPtI3aZrGtm3bKC4uZuXKlWRmZmK1WpkxY0af6kujqipbt24N6yasPp8vUCvI5XIFQlBsbCw7duzAbDYHve9WX+Ls0HixpJnNOw4FIJMBxWBAATLTjaSlRFBZp+H26iezGh1OUhIUzjo9mSqHgfpm/akrOhLysw3k5xjIz4YIs0K1HarsUGkX1Dfrp7W6JMSAJRmS4xRiotBfIiEmSjn0Wl/K4tAJrsBrDm9ybmpVqap1ctDhorkd/CIOlz+Ktk4jflW/rdAEeRkwepCBuBjBniqNz7b70TAQFSEwGzUczfqNVb/GgBTBvTckEBt9ONwcOHCAlpaWo4qj9nc1NTVcccUV/O1vf+Pss88O9nCkniWDj/TdhBBs376dkpKSQEO+2bNnM3PmTNLT04M2Lq/Xy5YtW8jOziYrKyto4+hLVFWloaGB+vp6GhoaiI+PJz8/n6SkJBl8DhFCsHPnTjpc8N7mVLbu8oHBgNFoxGDST4PFRMGwgWZUTWFvjYqqKWiaRk6a4JzTookwG6isF3xdpdHs1O83MgKy0xVyLQZyLAo56WA0KTiaFewtehCyN+tH5zvdepA5FdGRkBDtJ9LowqC18+UuaHUKZkxJQTGZ2V0tcLQIFATtbS4sqUZanHqXe1XV8PtVpk4w85NLjp4lDMfQ01UW5KmnnuLHP/5xsIcj9TwZfKQTJ4Tg66+/pqSkhOXLlxMdHc3s2bOZPXs2GRkZvXZx7ezsZOvWreTn55OWltYrjxkqfD4fW7duDez/sdvttLa2kpiYSEZGBsnJyWFzQTtWV4g3m83k5+ejKAqtTj+vLWnl8y89CBR9E7TRgCnCCCikJxvIthjZtc+NRzVhijBhUCBvgIFheUYGpBlQVYXaRkG1Q1DjEIHZl8gISE9SSE1USEs8/DolAaIiwe3R+3R1uqHTI/D6gUMVmrted72tKJAQq5AcpxcubHfBwQbBvlqNz7a58WMKfF8jjCppCRqORh8tbQJzlBnQ+235/SpRJsHProhnTP7RJ/uO3AsWLj8jdrudyy67jMcff5ypU6cGezhS75DBR/phujbN2mw2Fi9ejNFoZNasWRQVFZGVldVjIaitrY0vv/yS0aNH9+m9R8HwbX23hBCBgonNzc3Ex8cHagWFy2ZnTdOoqKggLi6OwYMHf+Pns61dxba6lfc+dyEwoCgKikEhLtaEV9VDQHSkoKXZjdlswJIeTbvHiKbpG5IHZepBKMdiICrSQGu7oKYBGlo0GtugsU2gaYcfT1EOL3VFRx5+2xxxuC2FxwsenzhUv+fQay+BYAWHNix3uBkxOIL8XDNNTsHOfV5aDx2zV/Dj84Jf1dBUjXPHR3DtzATMEUd//vv376etra3bG/j2ZQ0NDcydO5dHHnmESy65JNjDkXqPDD7SqRNCUFNTEwhBXq+XWbNmYbVaGThwYLeFoK7ie7Lz/DedaN8tIQRtbW3Y7XYaGxuJjo7GYrGQlpbWL0oAHI+qqmzbto3k5GQGDhz4nbftdGms3eBk+fvtuNx6+FEMClGRBlKSImhp14+Sa6qG3+thcK6ZgdkxOFqhql5v6gkQH6OQm2EgJ8NArsVIUjyAgtsHzU5obRd0ukVgtqfTDZ1ugU/Vg0+UWSHSrM8aRZkVIiMIvG80wJc729nyZRuxMREMHZpAfTN4fWAwCLxuH6oKKHqxQk3ViDR6uGSCg7HDE0hPTz+qae6+fftwOp1hFXqam5u57LLLeOihh5g1a1aPPMaqVau48847UVWV+fPn85vf/Kbb7tvn8+F0OklJSUEIIZeyT44MPlL3EkJQX19PaWkppaWlOJ1OZsyYgdVqDSwv/BAHDx6kpqaGcePG9dviez/UD+27JYQ4qlZQRERE4Jh8f/kaq6rKli1bsFgs5OTknPD/0zTBpi9d2Na0UlmrHqoDZAAEyUkmYqKNNLWKQFsIo0Ejb4CRwTlmIs0G2l1QY9eobdSOnukB4mMVEuP0l7hoBZMRTEYFoxH9xaC/b1DA6xe0tQua2gSNrRqNrVqgLQboM0epiQrx0VBd6w607dA0Dc2vEWFUuWxqHFN+FIvCN5vm+v1+fD5fWC1vtba2MnfuXO655x4uu+yyHnkMVVUpKCjgnXfeIScnhwkTJvDPf/6z24ohPvHEEzz//PN88MEHZGVlyfBzcmTwkXqWw+FgyZIllJaW4nA4mD59OrNnz2bkyJEn9IvataTW0tISVuXyT1R39t3q7OwMhCBFUQIhKCoqqptG27v8fj/l5eVkZWWd0gb4ylov6z528v7nHfj8+h4gRdGLF0ZHKUQYod2loRj1PUCgP7NaUgwMSDOSEGsgNsaAOULfXNzhErS26y/tLoGqgl8VqJq+jHVkUAJ9GUxoKi0tHjweP1GRBgblRIHByEGHH49Xv13X7I7qVzGbBJdfFMe0c2KP+3umqirbt2+ntbUVg8FAUlIS6enppKSk9OvfMafTyeWXX87tt9/OVVdd1WOPs2HDBh5++GFWr14NwMKFCwG4//77u+0xfvWrX7F+/XqKi4vJy8uT4efEyeAj9Z6mpiaWLVtGaWkpVVVVTJs2jTlz5nzrFLsQgq+++gohBCNGjAibv0hPVE/23XK73YFaQaqqkp6eHjgmHwp8Ph/l5eXk5eUdtd/pVGiaYMtXLpaua2XnPq9e5NBwOAiB3rrCrwqEALPZQGSUCb9m4Mjn2uhISIg1kBhvICFWITpSIdKs6D25fAK3R9DqVGlxqjS1+Ol0CwxGhYgIE+LQ/RgUMBg03G4VoenH2DVNI8IosE6JZfaUhO+8CO7Zs4fOzk7GjBkDQEtLC3a7naamJmJjY0lPT+93y58dHR1ceeWV3HzzzVx33XU9+lglJSWsWrWKF198EYDXX3+dTz/9lGefffaU7lfTtKOeB++//37efvttSktLGTJkiAw/J6bHvkD9vya+dNJSUlK48cYbufHGG2ltbWXFihU8/vjj7N69mwsvvJCioiJOO+00DAYD7e3t3Hbbbdx7772MGTNG/jIfo66ujsrKSk4//fQeWZaKiooiNzeX3NxcvF4vDQ0N7Nq1C6/Xe1TBxL74fena5D148OBuLblgMCicNiqG00bF4PFqfL6tk3UbnHx9wItP1fcCqYre9VwoCn4/+Nv9aIeqEgpFYDYZ8GOgVTXQ1AyqUAItJgR6gBGaQDtUvdBkVEiMNxEZacDv1+h0+XF7NMShWSH9QigYXxDJhWfHMzo/GqPxu78ne/bsweVyHfV7lZycTHJyMkII2tvbsdvtfPHFF0RERJCenk56enrIzvyBvgdu3rx5XHvttT0eenqKqqoYjUaamprYsGEDY8aMYeHChcTHxzNnzhyKi4spKCiQ4SeIZPDpYU8++ST33HMPDocjJI90JyYmcs0113DNNdfQ3t7O22+/zbPPPsv27ds5++yz+fjjj7nqqqtkr5zjqKqqwm63c/rpp/dK3y2z2RxYLvL79X0i+/bto6Ojg9TUVCwWC4mJiX3iydbtdlNeXv69m7xPVaTZwLlnxHHuGfry4q79LtZ+3M6XX7tpavWgCT0IGRQDigJGo740pmrQ3ikA9bsf4BCvKvB6NYQQgReEPrM0briZC89OZPSwKEzfE3bgcGsXl8vF6NGjj/v9UhSF+Ph44uPjGTp0aKBVSkVFBUKIowpkhgq3280111zDFVdcwc0339wrj5mdnU1VVVXg/erqarKzs0/pPo1GI3a7nTlz5nDmmWfy3HPPMW3aNB544AFUVWX27NkUFxfL58wgkktdPaiqqor58+fz1VdfsWnTppAMPt9m165dzJgxg2HDhlFZWcnkyZMpKipi0qRJYdFc87sIIY46gRPsvRiqqtLU1ITdbqetrY2kpCQsFkvQagV1nWwbMWIESUlJvf74R6qp87J+Uztf7nZjb/Tj7NQClZy79gfp1ZkPhY8j3wYEh0MOCBLiDAzKMjNuZDRjhkWRkxHxvTM7RxJCsGfPHjweD6NGjfpBIbVr5s9ut+N2uwOhNyHhu5fVgsnj8XDdddcxbdo0fvGLX/TaOP1+PwUFBaxbt47s7GwmTJjAW2+9xejRo3/wfWqaxl133cWUKVOYMGECkydP5uWXXw4UXfz973/PoEGDuOmmm7rr0+iv5B6fUHT55Zfz29/+FqvVysaNG/tN8NmyZQs33HADf//73znrrLPweDysW7eOkpISPvvsMyZNmoTVamXy5Mn9au/Biejrfbc0TQvUCmppaSEhIQGLxdJrm2U7OjrYunVrn67vpGmCplY/B2q8VNZ6aWrx4/YI3F5NP34OKAaF2GiFtGQTBYOiGJoXSVyM4ZQu2N0Reo7VVSXc4XDgdDqDHnqPx+fzceONN3LOOefwq1/9qtfD2cqVK/nlL3+JqqrcfPPNPPjggyd9H0cuW6mqyiOPPEJMTAzLly8PbNCuqKjA7/czfvz4bv4M+i0ZfELN0qVLeffdd3nmmWcYNGhQvwk+mzZt4pZbbuFf//oXw4YN+8a/+3w+3n//fWw2Gx9++CETJkzAarVy/vnnExkZGYQR9x5N0wIVh0Oh75YQgtbW1kCtoNjY2ECtoJ6YtXM6nVRUVHTLybb+RgjB7t278fl8J3yS8mR1hV6Hw0FzczNxcXGBApnBmqX1+/3813/9F6eddhr3339/n/+d+S6apuFyuYiNjWX58uXcfffd3HTTTTzwwAN0dHRwwQUXcPvtt3P99dcHe6ihQgafvujCCy+krq7uGx9/9NFHWbBgAWvWrCExMbFfBZ+Ojg7a29tP6ASO3+9n/fr1lJSU8P7771NYWEhRURFTp07t9tNNwdZVfK+rEWuoOXKzbENDA2azmYyMDNLS0rplU3Zrays7duxg7NixIbXvpDf0Rug53mO2tbXhcDhoaGggMjISi8VCenp6r9WGUlWVn/3sZ+Tn5/Pwww+HZOhZuXIl06dPB2DevHm0tbVx8cUXk5mZya5du9i1axeZmZls2LCB888/n//5n/8J8ohDigw+oWTbtm1MnTo1ULW4urqarKwsPvvsMwYMGBDk0QWHqqps2LABm83G2rVrGTFiBEVFRUybNi3kL4Q+n48tW7aQmZl5yhsj+4ojCyYajcZAraAfMmvX3NzMzp07e+Q4f6jr6qvXtTQarIt/R0cHDocjUBuqqyxCT32/VFXljjvuYMCAASxYsCAkQ8+2bdv405/+xKhRo/jqq68YNGgQ559/PmVlZSQlJXH66aeTkJDA1q1bSU9P54orrgj2kEONDD6hrD/N+HQHTdPYtGkTxcXFrF69miFDhmC1Wrnkkkv67L6Pb+PxeNiyZcs3+m71J263G7vdjt1uRwgRuCieSDuSrhpG48ePD+lj1j2hK/SoqsqIESP6zMXf4/EEakP5fL5uL4ugaRp33303cXFxPPHEE31mr9HJ8nq9rF27lvfff5/33nuPt99+m7S0NL7++mv+9Kc/UVhYyC9+8YtgDzOUyeATymTw+XaaprF161aKi4t5++23ycrKwmq1MmPGjKCf+Pk+XaeTCgoKSElJCfZweoXX6w2EIJ/Pd1TBxGMvig6Hg3379jF+/Ph+01qju3Rtgtc0rU+FnmN1lUWw2+10dHSQkpKCxWIhKSnpB41Z07RAL6y//OUvIRl6uur0gD7bu379en73u99RWFjIwoULSUhIYNWqVbz22mu89NJLcpbzh5PBR+r/hBBs376dkpISVqxYQUpKClarlZkzZ/a50PhD+271Jz6fL3BRdLlcRx2bttvtVFZWMn78+LA72fd9ukKPEILhw4f32dBzLE3TAmURWltbT/pEoKZp/O53v6O9vZ3nn38+5EPPJ598Qnx8PKNHj2bDhg3885//pKOjg3vuuYdHHnmE7OxsHn/88SCPOKTJ4COFl65lgJKSEpYtW0ZMTAxWq5VZs2aRkZER1ItFS0sLO3bsoLCwMOT3J3UXVVVpbGwMtFMAGDVqFKmpqSFzYe8NQgh27twJEFKh51hHnghsamoiOjo6cCLweEFXCMEjjzxCXV0dL730UtBrW52qK6+8kvj4eFpaWhg+fDgLFizgiy++4Ne//jW1tbVcdtllPPLII8EeZqiTwUcKX10FAW02G0uWLMFkMjFr1iyKiorIzMzs1YtHQ0MDu3fvlht1v0VXterc3FwaGhpobW0lMTExMDMQin/ld5eu0KMoCgUFBSEbeo4lhAhshm9oaMBoNBIdHU1kZCRDhw5FCMFjjz3Gnj17ePXVV0O+wOldd90F6Kd3L730Uux2OxMmTOC1117js88+Y9++fT3aWDWMyOAjSaA/yVZXV2Oz2Vi8eDF+v59Zs2Yxe/ZsBg4c2KMXk66+W3LPyvHt37+flpYWCgsLAwFHCHFUY82u2jFpaWkh/1f/yehq5GswGPpV6Dket9vN+vXreeSRR3C5XAwZMgSPx8Py5ctD/vfG5/Px6aefMnHiRK677jpGjx7NHXfcwWmnnUZhYSFLliwJ9hD7Exl8JOlYQgjq6uooLS2ltLSU9vZ2Zs6cidVqZejQod16cemayRg3blzI/8Xa3bp6S3V0dDBmzJhvndURQuB0OgMzA9+3PNJfdIUeo9EYEoUtu4sQgj//+c+sWbOGtLQ0KisrueiiiygqKuKss84Kidk/p9NJfHz8UZWZ/X4/zc3N3H333Tz33HPExcVxxx13EBERwZNPPhnkEfcrMvhI0vdxOBwsXryY0tJSGhsbmT59OrNnzz6lUzN9re9WX9NVfM/r9Z50m4UjCyaaTKZAraBQnxU4khCCHTt2YDKZwi70vPjii7zzzjvYbDYiIyPp7Oxk7dq1LF68mE2bNvHBBx/06ZObH3/8Mddffz2rVq0iPz//qPBz8OBBfvrTn3LppZeyatUq8vLy+Otf/xrkEfc7MvhI0sloampi2bJl2Gw2ampqmDZtGnPmzGH06NEn/JfmkX23uqt3Un/SnRt1XS5X4Ji8oiiBKsKhvI+qK/RERESQn58fVj8/r7zyCkuXLmXp0qXHrd905OmovubIgHP//fezZs0a3nrrLYYPH44QAk3TMBqNrFu3ji1btlBTUyNnenqGDD6S9EO1trayYsUKbDYbe/bsCUy3jx8//ltDUFffrcjIyLC7aJ2IrtIDZrO5278+Ho8nEIJUVT2qVlCo6MmvT1/35ptvsmjRIpYvX35CRS77mtraWjIzMwPv/8///A/FxcUsWrToqK7tTz31FGPGjOGiiy4KxjDDgQw+ktQd2tvbWblyJSUlJezYsYMpU6ZgtVqZMGFC4C/Q9vZ2/vKXv3D11VeHZN+tnqZpGhUVFcTFxTF48OAevaj7fL5AFWG32x2oIhwfH99nw0RX6Ok61dRXx9kT/v3vf/PKK6+wYsWKkGxEu3PnTn75y1+ydOlSgMCy68KFC3n99dcpKSlh1KhR3HrrrWzbto3169eHxF6lECWDjxQ89957b+BExtChQ/nHP/7Rp9fmT5TL5WL16tWUlJRQXl7Oeeedx9SpU3n00Ue54ooruPPOO4M9xD6nqxlrcnIyAwcO7NXH9vv9gVpB7e3tpKSkkJGRQWJiYp8JF+EcepYsWcJzzz3HihUrQrao55dffsktt9zChx9+iNFoRNO0QLB58sknefXVVxk2bBi1tbW8//77/Wo/Wh8kg48UPGvWrGHKlCmYTCbuu+8+AB577LEgj6p7eTweiouL+dWvfsXgwYMZO3YsRUVFnHvuuf36xNHJUFWVLVu2YLFYyMnJCepYNE0LhKC2tjaSkpKwWCwkJycH7S9wIQRffvkl0dHRDBkyJKxCT1lZGU899RRlZWUkJycHezin5MYbb+SGG27gggsuQNM0gMDP1F/+8hdsNhurVq0K6f1nIUIGH6lvWLx4MSUlJbz55pvBHkq32r9/P3PnzuWJJ57g3HPP5b333sNms7F+/XomTJhAUVER559/ftj+hef3+ykvLycrK4usrKxgD+comqYFagU1NzcTHx+PxWIhNTW11zbQHhl6hg4d2iuP2VesWbOGhQsXsnLlSlJTU4M9nJO2du1aPvnkExRF4YorruDhhx/mxz/+MbfeemvgNkdueO7LG7P7mR4LPrIgiXRSXn755X5XlbSiooJrr72WF198kTPPPBOAadOmMW3aNPx+P+vXr6e4uJiHHnqIcePGUVRUxNSpU8Om27jP56O8vJy8vLw+2YHeYDCQkpJCSkoKQgja2tqw2+3s3buXmJiYQK2gnqq/JISgoqKCmJiYsAs97777Lo8++ihlZWUhGXoATCYTubm5vP3227S1tfH+++/T0dHBxIkTGT9+fOB2XeFHhp7QJ2d8JAAuvPBC6urqvvHxRx99FKvVGnh748aNlJaW9qtp/LVr15KTk8OIESO+83aqqrJhwwZKSkpYt24dI0eOpKioiIsuuiikThydDK/XS3l5OYMHDyY9PT3YwzkpQoijagWZzebAMfnumrnTNI0vv/yS2NhYhgwZ0i33GSo++OADHnzwQcrKyhgwYECwh9NtNmzYwLp163C73cyePZuzzjor2EMKV3KpSwquV155hf/7v/9j3bp1IXlEtbtpmsbGjRspLi5mzZo1DB06lNmzZ3PppZcSHx8f7OF1C7fbTXl5OQUFBaSkpAR7OKess7MzcEzeaDQGQtAPnbnrOt0WHx/P4MGDu3m0fduGDRu45557WLFiBdnZ2cEezik7cikL9E3OixYtorW1lRtvvJHTTz89iKMLWzL4SMGzatUq7r77bv7zn/+E3F/9vUHTNLZs2UJxcTGrVq0iOzub2bNnM2PGjJA9/eZyudiyZQsjRowI2c/hu7jdbux2Ow6HA03TArWCTjTUh3Po+fzzz7nzzjtZtmwZeXl5wR5Oj6moqGDlypX87Gc/IyEhIdjDCUcy+EjBk5+fj8fjCazh/+hHP+L5558P8qj6pq5NriUlJaxYsYLU1FSKioqYOXNmyOyB6OjoYOvWrYwePTosnvC9Xm+gVpDX6w3UCoqLizvukm5X6ElISAi7Ok+bN2/mtttuY8mSJWER+Px+v+zNFzwy+EhSqOlqeVFSUsLy5cuJjY3FarUya9YsLBZLn9wn5XQ6qaioYOzYsSFZgO5U+f1+GhoasNvtdHZ2kpqaisViISEhAUVR0DSNbdu2kZiYGHahZ9u2bdxyyy2UlJRQUFDQ44/XX+uHSSdMBh9JCmVdHcxtNhtLlizBbDYza9YsrFYrmZmZfSIEtba2smPHDsaOHdtvN2ufDFVVA7WCnE4nSUlJtLe3k5aWFhazHUfavn07N998M//6178YOXJkrzxmONQPk76TDD6S1F8IIaiurqakpITFixejqiqzZs2iqKiI3NzcoISg5uZmdu7cybhx42RhtuPw+/1s3rwZIQSqqpKQkBCoFdTfWxbs2rWL66+/njfffJOxY8cGZQz9tX6Y9J1k8JGk/kgIQW1tLaWlpSxevJiOjg5mzJiB1WrttZYHjY2N7N69m3HjxoVNbaKToWkaW7duJSUlhby8PIQQtLa2Ul9fT1NTE3FxcYEQ1N/2g+zdu5err76aV199ldNOOy1o45g1axZXXXUV1157bdDGIPU6GXwkKRzY7XYWL15MaWkpTU1NTJ8+HavVyvDhw3skBDkcDvbt28f48ePDtir1dzk29BxLCIHT6QzUCoqKigockw/1VicHDhxg3rx5vPjii0yYMKFHHiOc64dJ30sGH0kKN01NTSxduhSbzcbBgwe5+OKLmTNnDqNGjeqW5ZX6+noqKysZP358yF+ke0JXmYK0tDRyc3NP6P+0t7fjcDhwOByYTKZACIqMjOzh0XavmpoarrjiCp577jkmTZoUtHHI+mFhTQYfSQpnra2tLF++HJvNxr59+7jooouwWq2MHz/+B4WggwcPUltby7hx4/rd8kx3UFWVrVu3nlToOZbL5QrUChJCYLFYsFgsfX4PVW1tLZdffjnPPPMM5513XtDGIeuHhT0ZfCRJ0jmdTlauXElJSQk7d+5kypQpWK1WJkyYcEIhqKqqCofDwbhx42TfoePojtBzLI/HE6gV5Pf7j6oV1JfU19cHmvVOmTIlqGOR9cPCngw+kiR9k8vlYtWqVdhsNsrLy/nxj3+M1Wpl0qRJxw01e/bswel0UlhY2O9PI/0QqqqyZcsWLBYLOTk5PfIYPp8vUCvI5XIFQlB8fHxQ97A0NDRw2WWX8cc//pFLLrkkaOOQpENk8JGk7rBq1SruvPNOVFVl/vz5/OY3vwn2kLqNx+PhnXfeoaSkhI0bNzJp0iTmzJnDOeecg9Fo5Ne//jWRkZE88sgjMvQcR2+EnuM9ZlcIam9vJyUlBYvFQlJSUq+GoObmZi677DJ++9vfMnPmzF57XEn6DjL4SNKpUlWVgoIC3nnnHXJycpgwYQL//Oc/GTVqVLCH1u28Xi/vvfceNpuN9evXk5SURGxsLP/85z/lJtHj6Ao9GRkZQWu6qWkaTU1N2O12WltbSUxMJCMjg+Tk5B4Nqq2trcydO5d7772XOXPm9NjjSNJJksFHkk7Vhg0bePjhh1m9ejUACxcuBOD+++8P5rB6lKZp/Pd//zf19fVkZGTwwQcfcNppp1FUVMSUKVNk3R76Rug5lqZptLS0YLfbaW5uJj4+PlArqDv3ZTmdTi6//HJuv/12rrrqqm67X0nqBj0WfORxDils1NTUHLVZNScnh08//TSII+pZXct5AwYM4G9/+xuKoqCqKh9//DElJSX84Q9/YNSoUVitVqZNmxaWM0GqqlJeXk5mZiZZWVnBHk6AwWAgJSWFlJQUhBC0tbVht9vZu3cv0dHRWCwW0tLSTqkMQUdHB1dddRW33nqrDD1SWJHBR5L6qbvuuov8/HwefPDBwMeMRiOTJ09m8uTJaJrG559/TnFxMY899hj5+fnMnj2bSy65hPj4+CCOvHf01dBzLEVRSExMJDExkfz8fDo6Oqivr+eLL74gIiIicEz+ZApQulwu5s2bx/XXXy+rIUthRwYfKWxkZ2dTVVUVeL+6urrPLG30hD/84Q8kJyd/678bDAYmTpzIxIkT0TSN8vJySkpKePrpp8nNzWX27NlMnz69X3bE7go9WVlZZGZmBns4J0xRFOLi4oiLi2Po0KF0dnZit9vZsmULiqIEQtB3LWG63W6uvvpqrrzySm666aZeHL0k9Q1yj48UNvx+PwUFBaxbt47s7GwmTJjAW2+9xejRo4M9tD5FCEFFRQUlJSWUlZWRlpZGUVERM2bMCNRUCWV+v5/y8nKys7NDKvR8H7fbHagVpKoq6enpWCwWYmNjA7fxeDxcd911XHzxxdx+++2yBYTUl8nNzZLUHVauXMkvf/lLVFXl5ptvPmoZSPomIQQ7d+6kpKSE5cuXk5CQwOzZs5k1axbp6ekhd+Hsr6HnWF6vl4aGBmpra7nrrrs488wzmTt3Ls8++yznnXced999d8h976SwI4OPJEnBJYRgz5492Gw2li5ditlsZvbs2VitVgYMGNDnL6RdoScnJ4cBAwYEezi9prm5GZvNxj/+8Q/q6+u5+uqrmTt3LhMnTpT1nKS+TAYfKXzU1dWRnp6OwWDo8xfTcCWEoLKyEpvNxpIlS9A0jZkzZzJnzhxycnL63PfN7/ezefNmcnNzwyr0gL6f6dZbb6WgoID77ruPdevWUVpaysaNG5k8eTK33HIL48ePD/YwJelYMvhI4eOuu+7C6/Xy17/+FdAvsn3tQiodJoSgtrYWm83G4sWLcblczJgxA6vVypAhQ4L+vesKPXl5eWRkZAR1LL1NVVV+8YtfkJmZyYIFC476Xvj9fj744AOio6OD2oFdkr6FDD5S+Pj000959tlnef3113G73dx4441MmTKFn/70p8EemnQC7HY7ixcvxmaz0dzczPTp0ykqKqKgoKDXQ5DP56O8vDwsQ4+madx1110kJCTw+OOPy2UtKdTI4COFj7a2NiZOnMhbb73FAw88QGFhIbfddhsDBw4E9Cd0g8FAZ2dnWBbdCyWNjY0sXboUm81GXV0dF198MXPmzGHkyJE9fiEO99Bz3333oSgKf/nLX2TokUKRDD5S/9e1pOXz+Zg/fz6VlZUUFhbyzDPPHPf2MTExVFdXk5KS0ssjlX6IlpYWli9fjs1mY//+/Vx00UUUFRUxbty4br8wd4WegQMHYrFYuvW++zpN0/jd735HR0cHzz33nAw9UqiSwUfq/7pmcp5++mkefvhhrrnmGp599lkURQn8m6qqGI1Gli9fzn333cf27dsD/yaFDqfTSVlZGTabjZ07dzJlyhSKioo488wzT/l76fP52Lx5M4MGDQq70COE4JFHHqG+vp4XX3yxW/t6SVIv67HgI68WUp/h9/t54okneOONN3jjjTeoqanB7/cDfONi+MILL/CTn/wE0APTsTRNO+7Hpb4hPj6eefPmUVxczCeffMLkyZN54YUXmDRpEvfeey8fffQRqqqe9P12hZ7BgweHZeh57LHHqK6ulqFHkr6DnPGR+oSGhgbuvvtuNE3jmWeeoaOjgyuvvJKPPvoIRVG+EXySk5PZunUrubm5gRmfqqoq9u/fz9lnn33Uk/6ePXvYv38/kyZNknuC+ji3280777xDSUkJGzdu5JxzzmHOnDmcc845mEzf3WHnyNCTnp7eSyPuG4QQPPXUU2zdupW33nrre79WkhQC5IyP1L/FxcVxzTXX8Nhjj5GamkpeXh55eXksX74cg8GAECIwg7Nq1SosFstRoQf0PSRvvPEGZ555Jrfeeivt7e0AfPTRRyxatIgDBw4A/KCZBKl3REVFMWvWLF599VU2b97M3LlzKS0tZdKkSdx+++2sXbsWr9f7jf/X0NDApk2bwjb0/PWvf2XTpk288cYbMvRI0veQwUfqE6Kiorj44ouPahqakZFBR0cHQGCfD8BLL73E1VdfDegzBF0SEhJYsGAB77//PqmpqVRVVaGqKgcOHCA3NzfQoqC/LQFUVVVxwQUXMGrUKEaPHv2tm8FDjdls5uKLL+aFF15gy5YtXHvttbz99tucc8453Hrrrbz99tu43W5qa2u59NJL8fv9YRl6XnjhBT744AMWLVp0Uh3aJSlcyaUuqU873sZlg8HAtm3bjmou+vjjj7Nr1y42b94MQGRkJLfffjuXXHIJP/3pT+no6KC2tpYRI0bw7LPPfqPZZleoCsVN0rW1tdTW1nL66afjdDo544wzWLJkCaNGjQr20HqEqqp89NFHlJSU8M4779DZ2ck111zD3XffHVZLmUIIXnnlFZYvX86SJUu+syO7JIUgudQlhadjg0hjYyM/+tGPsFqtTJkyhVdffRWPx8MLL7zAz3/+czZu3MhTTz2FpmlMmjSJzz77DKfTya233srmzZvRNI23334b0OsFrV+/noaGBgwGQ+CxVFXlgQceCJnN0ZmZmZx++umAvml45MiR1NTUBHlUPcdoNHLeeefx29/+loSEBO666y48Hg9Tpkzhuuuuw2azBZY5+7M333yTxYsXU1paKkOPJJ0EuRgshZTU1FQ+/vhj3G43ixYt4sMPPyQpKYkZM2awdu1akpOTefPNN0lPT2fQoEG8+eabTJkyhQsuuADQQ40QgoMHD/Laa69RV1fH2rVrOe+88/j9739PRkZG4FTZggULgvzZnrz9+/ezefNmJk6cGOyh9Ci73c7MmTN59NFHueiiiwB91m7z5s2UlJTw5z//mdzcXKxWK9OnTycxMTHII+5e//73v3nrrbcoKysLq1kuSeoOcsZHCklRUVHceOONvPjii1itVq655hree+89Hn30UTZt2sSPfvQjXC4XmzdvpqWlhYSEBBwOB9nZ2URFRfG///u/vP7661x22WVUVFTg8/kCm5/feOMN7r777iB/hievvb2duXPn8vTTT5OQkBDs4fQYIQRXX301CxcuDIQe0GcHzzjjDBYuXMgXX3zBo48+yoEDB5g1axZz587ltddeo6mpKYgj7x6LFy/m5ZdfZtmyZcTGxvbqYz/55JMoikJDQ0OvPq4kdSe5x0fqdz799FOys7PZvXs3f/zjHxk0aBAvvvgijz32GFu3buXaa69l5cqVxMXFUV5ezsGDB2loaODvf/87M2bMIDExkT179pCWlhbsT+WE+Xw+Zs6cycUXXxySoe1knUy7EiEEX331FSUlJaxYsYKEhASsViszZ84kPT096E1UT8aKFSt4+umnKSsrIzk5uVcfu6qqivnz5/PVV1+xadOmkPr9kEKSrNwsST/Erl27eOmllygpKeHss8/mtttuY/z48cybN4+FCxcyatQoHA4HGzduZNKkSXz44Yfcf//9VFRUBHvoJ0wIwQ033EBKSgpPP/10sIfTpwkh2LNnDyUlJSxbtozIyEhmzZqF1WplwIABfToErV69mscee4yysrJvbM7vDZdffjm//e1vsVqtbNy4UQYfqafJ4CNJp8rpdBIfHw/AQw89hNfr5Re/+AW5ubmB20yfPp3Jkydz//33B2uYJ239+vVMnjyZsWPHBjZoL1iwgOnTpwd5ZH2bEIIDBw5gs9lYsmQJADNnzqSoqIicnJw+FYLeffdd/vCHP7By5cqgHNlfunQp7777Ls888wyDBg2SwUfqDTL4SFJ3qq6uZuHChXzyyScMGDCA559/ntzcXFJTU/nyyy8ZMGBAsIco9aKuDe82m43FixfjdruZOXMmVquVwYMHBzUEffDBBzz44IOUlZX16M/lhRdeSF1d3Tc+/uijj7JgwQLWrFlDYmKiDD5Sb5HBR5J6yt69exkyZAirV6/mhhtuOO6TvxQ+hBDY7fbAUfGWlhamT5+O1WqloKCgV0PQxx9/zL333suKFSuOKu7Zm7Zt28bUqVMDe6qqq6vJysris88+k38gSD1JBh9J6klCCBRFob6+noyMjGAPR+pDGhsbWbJkCTabjfr6ei655BKKiooYOXJkjxa8/Pzzz7nzzjtZtmwZeXl5PfY4J0vO+Ei9RAYfSZKkYGtpaWHZsmXYbDYqKyu58MILmTNnDoWFhd0agjZv3sxtt93GkiVLGDx4cLfdb3eQwUfqJTL4SJIk9SVtbW2UlZVhs9nYtWsXU6dOpaioiDPOOOOUQtC2bdu45ZZbsNlsDBs2rBtHLEkhRQYfSZKkvqqzs5OVK1dSWlrKtm3b+PGPf0xRURETJ048qaa427dv5+abb+bf//43I0aM6MERS1KfJ4OPJElSKHC73bzzzjsUFxezadMmzj33XObMmcPZZ5+NyfTtXYJ27tzJDTfcwFtvvcWYMWN6ccSS1CfJ4CNJkhRqvF4v7777LiUlJWzYsCHQYPe8887DbDYHbrd3716uvvpqXnvtNcaPHx+8AUtS3yGDjyRJUijz+/385z//obi4mPXr13P66adjtVrJz8/n+uuv56WXXuLMM88M9jAlqa+QwUeSJKm/UFWV9evXY7PZeOONN1i2bBnnnntusIclSX2JDD6SJIUnVVU588wzyc7OZsWKFcEeTrfrqiElSdJReuyXoueqb0mSJHWDZ555hpEjRwZ7GD1Ghh5J6l0y+EiS1GdVV1dTVlbG/Pnzgz0USZL6CRl8JEnqs375y1/ypz/9qUdbQ0iSFF7ks4kkSX3SihUrsFgsnHHGGcEeiiRJ/YgMPpIk9UkfffQRy5YtY9CgQcybN493332Xa6+9NtjDkiQpxMlTXZIk9Xnvv/8+TzzxRL881SVJ0nHJU12SJEmSJEmnSs74SJIkSZLU18gZH0mSJEmSpFMlg48kSZIkSWFDBh9JkiRJksKGDD6SJEmSJIUNGXwkSZIkSQobMvhIkiRJkhQ2ZPCRJEmSJClsyOAjSZIkSVLYkMFHkiRJkqSwIYOPJEmSJElhQwYfSZIkSZLChgw+kiRJkiSFDRl8JEmSJEkKGzL4SJIkSZIUNmTwkSRJkiQpbMjgI0mSJElS2JDBR5IkSZKksCGDjyRJkiRJYUMGH0mSJEmSwoYMPpIkSZIkhQ0ZfCRJkiRJChsy+EiSJEmSFDZk8JEkSZIkKWzI4CNJkiRJUtiQwUeSJEmSpLBh+p5/V3plFJIkSZIkSb1AzvhIkiRJkhQ2ZPCRJEmSJClsyOAjSZIkSVLYkMFHkiRJkqSwIYOPJEmSJElhQwYfSZIkSZLCxv8HOiC5D3477YkAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<Figure size 720x720 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"#surf = axes.plot_surface(x, y, z, cmap='coolwarm',linewidth=0, antialiased=True)\n",
|
|
"fig = plt.figure(figsize=(10,10))\n",
|
|
"axes = fig.gca(projection='3d')\n",
|
|
"\n",
|
|
"surf = axes.contour3D(X, Y, Z, 50, cmap='coolwarm')\n",
|
|
"\n",
|
|
"axes.set_xlabel('X Label')\n",
|
|
"axes.set_ylabel('Y Label')\n",
|
|
"axes.set_zlabel('Z Label')\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" fun: 5.039055124106524e-14\n",
|
|
" hess_inv: <2x2 LbfgsInvHessProduct with dtype=float64>\n",
|
|
" jac: array([1.50161290e-06, 2.66751814e-06])\n",
|
|
" message: b'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL'\n",
|
|
" nfev: 21\n",
|
|
" nit: 6\n",
|
|
" njev: 7\n",
|
|
" status: 0\n",
|
|
" success: True\n",
|
|
" x: array([-3.27340466, -3.35758908])\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(sol_6_3)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now when choosing a starting point closer to the minima at the bottom left. We can see the impact to our solution, as the optimal solution is now positioned at: x: array([-3.27340466, -3.35758908])!!\n",
|
|
"\n",
|
|
"This goes to show based on the lectures, that the optimization problem will not find the global minimum. Which in our case is sol_6_1 based on an objective value of fun: 2.3325913012338164. Based on the starting point, it will find the optimal based on the closest local minima! "
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.7.9"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|