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@ina111
Created October 23, 2015 13:30
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# この文章の位置づけ\n",
"普段使いはPythonだが、用途によっては計算時間が開発のボトルネックになることがあって、今後も増えそうな予感。Pythonスクリプトの高速化の方法は何通りもあるが、どれもイマイチだなぁということで計算機のパワーでゴリ押しすることが多い。\n",
"動的型付け言語の様な書き方が出来て、数学ライブラリが使えて、適度に最適化されたコンパイル出来る言語が欲しいという需要が自分の中にあった。\n",
"\n",
"JuliaというPythonやMatlabのようなスクリプト言語っぽい書き方の出来るコンパイル言語がイケてそうだったので、自分用に使う機能などを試すためにロケットの飛翔計算について初歩的な内容を書いている。\n",
"* 微分方程式(ODE)\n",
"* 補間\n",
"* グラフ化\n",
"\n",
"が試せればOK。\n",
"\n",
"結果としては補間がダメだった。Interpolationというパッケージが所望の挙動をせず、PyCallによってScipyのinterp1d関数を呼び出してもエラーが消えなかった(自分の書き方が悪かっただけかも)。それ以外は使えて、早いので、使えるかも。。。というところ。\n",
"\n",
"以下は試してみた結果。"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"using PyPlot\n",
"rc(\"font\",family =\"Osaka\",size=16)\n",
"using ODE"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# ロケット1自由度(1次元)のダイナミクス\n",
"ロケットの垂直方向に打ち上がって落ちるまでを考える。ロケットの運動は1自由度(1次元で垂直方向のみ)、3自由度(垂直と横方向の2次元平面上と機体の傾きの合わせて3自由度)、6自由度(空間3軸、姿勢3軸の6自由度)の運動を計算することがあるが、ここでは簡単のために1自由度で考える。\n",
"\n",
"運動方程式は\n",
"$$ m\\frac{d^2y}{dt^2} = F - D - mg $$\n",
"ここで、\n",
"\n",
"|記号|単位|内容|\n",
"|:---:|:-----:|:---:|\n",
"| m | kg | 質量 |\n",
"| y | m | 垂直方向位置 |\n",
"| F | N | 推力 |\n",
"| D | N | 抗力 \n",
"| g | kg/s^2 | 重力加速度 |\n",
"\n",
"### 質量\n",
"ロケットの比推力をIsp[s]とすると、推進剤を噴射することにより減るロケットの質量は\n",
"$$\\dot{m} = - \\frac{F}{I_{SP} \\cdot g}$$\n",
"\n",
"### 常微分方程式\n",
"1階の連立常微分方程式の形で記述できれば、ルンゲクッタ法などによって数値計算することが出来る。連立常微分方程式の形にすると\n",
"\n",
"$$\n",
"\\frac{d}{dt}\\begin{bmatrix} m \\\\ \\dot{y} \\\\ y \\end{bmatrix} \n",
"= \\begin{bmatrix} - \\frac{F}{I_{SP} \\cdot g} \\\\ \\frac{F-D}{m} -g \\\\ \\dot{y} \\end{bmatrix}\n",
"$$\n",
"それぞれの変数について考えていく。\n",
"\n",
"#### 重力加速度\n",
"\n",
"$$g(h) = g_0 \\left( \\frac{R}{R+h} \\right) ^2$$\n",
"ただし、g0:地表面での重力加速度[kg/s2]、R:地球半径[m]、h:地表からの高度[m]"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"gravity (generic function with 1 method)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function gravity(altitude)\n",
" # altitude: meter\n",
" g0 = 9.80665\n",
" radius_earth = 6378137\n",
" g = g0 * (radius_earth / (radius_earth + altitude)) ^2\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x3107b38d0>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# gravity関数のテスト\n",
"test_alt = 1:1000:10000000\n",
"test_g = zeros(length(test_alt))\n",
"index = 1\n",
"for i = test_alt\n",
" test_g[index] = gravity(i)\n",
" index += 1\n",
"end\n",
"plot(test_alt/1000, test_g)\n",
"ylim(0,10)\n",
"xlabel(\"高度 km\");ylabel(\"重力加速度 kg/s2\");grid()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 抗力\n",
"抗力は、\n",
"$$D = Cd \\cdot \\frac{1}{2}\\rho S V^2$$\n",
"\n",
"抗力係数Cdはマッハ数の関数として、下記のようなグラフを利用\n",
"音速や空気密度はUS Standard Atmosphere 1976を使用。\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"air (generic function with 1 method)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function air(altitude)\n",
" # 標準大気モデルを用いた、高度による温度、音速、大気圧、空気密度の関数\n",
" # 高度は基準ジオポテンシャル高度を元にしている。\n",
" # 標準大気の各層ごとの気温減率から定義式を用いて計算している。\n",
" # Standard Atmosphere 1976 ISO 2533:1975\n",
" # 中間圏高度86kmまでの気温に対応している。それ以上は国際標準大気に当てはまらないので注意。\n",
" # cf. http://www.pdas.com/hydro.pdf\n",
" # @param altitude 高度[m]\n",
" # @return T 温度[K]\n",
" # @return a 音速[m/s]\n",
" # @return P 気圧[Pa]\n",
" # @return rho 空気密度[kg/m3]\n",
" h = altitude\n",
" g = 9.80655\n",
" gamma = 1.4\n",
" R = 287.0531\n",
" # height of atomospheric layer\n",
" HAL = [0, 11000, 20000, 32000, 47000, 51000, 71000, 84852]\n",
" # Lapse Rate Kelvin per meter\n",
" LR = [-0.0065, 0.0, 0.001, 0.0028, 0, -0.0028, -0.002, 0.0]\n",
" # Tempareture Kelvin\n",
" T0 = [288.15, 216.65, 216.65, 228.65, 270.65, 270.65, 214.65, 186.95]\n",
" # Pressure Pa\n",
" P0 = [101325, 22632, 5474.9, 868.02, 110.91, 66.939, 3.9564, 0.3734]\n",
"\n",
" if ( h >= HAL[1] && h < HAL[2])\n",
" k = 1\n",
" elseif ( h >= HAL[2] && h < HAL[3])\n",
" k = 2\n",
" elseif ( h >= HAL[3] && h < HAL[4])\n",
" k = 3\n",
" elseif ( h >= HAL[4] && h < HAL[5])\n",
" k = 4\n",
" elseif ( h >= HAL[5] && h < HAL[6])\n",
" k = 5\n",
" elseif ( h >= HAL[6] && h < HAL[7])\n",
" k = 6\n",
" elseif ( h >= HAL[7] && h < HAL[8])\n",
" k = 7\n",
" elseif ( h >= HAL[8])\n",
" k = 8\n",
" else\n",
" k = 1\n",
" end\n",
" \n",
" T = T0[k] + LR[k] * (h - HAL[k])\n",
" a = sqrt(T * gamma * R)\n",
" if LR[k] != 0\n",
" P = P0[k] * ((T0[k] + LR[k] * (h - HAL[k])) / T0[k]) ^ (g / -LR[k] / R)\n",
" else\n",
" P = P0[k] * exp(g / R * (HAL[k] - h) / T0[k])\n",
" end\n",
" rho = P / R / T\n",
" [T, a, P, rho]\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x312e0d750>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# air関数のテスト\n",
"test_alt = 1:100:100000\n",
"test_air = zeros(length(test_alt))\n",
"index = 1\n",
"for i = test_alt\n",
" T, a, P, test_air[index] = air(i)\n",
" index += 1\n",
"end\n",
"plot(test_alt/1000, test_air)\n",
"xlabel(\"高度 km\");ylabel(\"空気密度 kg/m3\");grid()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Cd (generic function with 1 method)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# using PyCall\n",
"# @pyimport scipy.interpolate as interp\n",
"# 補間が使えなかった。。。\n",
"function Cd(mach)\n",
" # M-Vロケットの抗力係数を参考にした\n",
" # @param Mach マッハ数[-]\n",
" # @return self.Cd 抗力係数[-]\n",
" M = [0, 0.2, 0.4, 0.6, 0.8, 1.0, 1.1, 1.2, 1.4, 1.6, 1.8, 2.0, 2.5, 3.0, 3.5, 4.0, 5.0];\n",
" cd_row = [0.28, 0.28, 0.28, 0.29, 0.35, 0.64, 0.67, 0.69, 0.66, 0.62, 0.58, 0.55,\n",
" 0.48, 0.42, 0.38, 0.355, 0.33]\n",
" # 線形補間のアルゴリズム、外挿はせずに\n",
" for i = 1:length(M)-1\n",
" if mach >= M[i] && mach < M[i+1]\n",
" alpha = (mach - M[i]) / (M[i+1] - M[i])\n",
" Cd = cd_row[i] + alpha * (cd_row[i+1] - cd_row[i])\n",
" break\n",
" end\n",
" end\n",
" if mach < M[1]\n",
" Cd = cd_row[1]\n",
" elseif mach >= M[end]\n",
" Cd = cd_row[end]\n",
" end\n",
" Cd\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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BTp06FXhc/fr1g4FAIPjxxx8Xes4bbrghGAgEgjNmzAh5zKRJk4KBQCB40003hTxm48aNQUnBjRs3FvqaKJnt27f7XULMI2Nb5GuPjG2Rrz0ythVuv+b8leUOHTpIktauXRvy5r1t27Zp+/btqlatmlq2bFnoOXM3LiloffMvv/xywrHwB+N07JGxLfK1R8a2yNceGbvN+Wb53HPPVcuWLXXw4EFNnz4932OmTJkiSerWrZsqVapU6DnPPvtsSdKKFStCHrN69WpJUsOGDYtZMQAAAGKF882yJI0dO/bY99/ecLdhwwa98MILqlix4rGNRiRp5cqViouLU1xcXJ41L927d5ckzZo1S4sWLcrzekuWLNG8efMUCAR00003RfrtAAAAIEpERbN85ZVX6q677lJWVpbatWunadOmadmyZXriiSfUuXNn5eTkaOLEiSGvAv92ucWll16qfv36KScnR926ddPdd9+tRYsWadGiRRoxYoSuu+46SVLv3r116aWXmr8/hPbbmwYQeWRsi3ztkbEt8rVHxm5zflOSXBMmTFCtWrX02GOPadCgQccer1GjhqZPn67evXufcHxugxxqXfJLL72kSpUqadq0aXr++ef1/PPPH3uuQoUKGjZsmJ599lmDd4LiyM7O9ruEmEfGtsjXHhnbIl97ZOy2QDBYyG4fjsnKytLChQuVlZWlhIQEXXPNNapatWqJz/fvf/9bK1eu1K5duxQIBHTmmWeqY8eORRpBl56ertatW2vjxo1q1apViWsAAACAjXD7tai5spyrbt266tevX8TOV69ePfXq1Sti5wMAAEDsiIo1ywAAAIAfaJbhtN/uFITII2Nb5GuPjG2Rrz0ydhvNMpw2YMAAv0uIeWRsi3ztkbEt8rVHxm6jWYbTUlJS/C4h5pGxLfK1R8a2yNceGbuNZhlOY8qIPTK2Rb72yNgW+dojY7fRLAMAAAAh0CwDAAAAIdAsw2mpqal+lxDzyNgW+dojY1vka4+M3UazDKelp6f7XULMI2Nb5GuPjG2Rrz0ydlvUbXftEra7BgAAcFu4/RpXlgEAAIAQaJYBAACAEGiWAQAAgBBoluG0pKQkv0uIeWRsi3ztkbEt8rVHxm6jWYbThg4d6ncJMY+MbZGvPTK2Rb72yNhtTMMIA9MwAAAA3MY0DAAAAMAIzTIAAAAQAs0ynDZv3jy/S4h5ZGyLfO2RsS3ytUfGbqNZhtPS0tL8LiHmkbEt8rVHxrbI1x4Zu40b/MLADX4AAABu4wY/AAAAwAjNMgAAABACzTIAAAAQAs0ynNa/f3+/S4h5ZGyLfO2RsS3ytUfGbqNZhtO6dOnidwkxj4xtka89MrZFvvbI2G1MwwgD0zAAAADcxjQMAAAAwAjNMgAAABACzTKctmrVKr9LiHlkbIt87ZGxLfK1R8Zuo1mG08aPH+93CTGPjG2Rrz0ytkW+9sjYbdzgFwZu8LOXnZ2tKlWq+F1GTCNjW+Rrj4xtka89MrbFDX6IafzmYY+MbZGvPTK2Rb72yNhtNMsAAABACDTLAAAAQAg0y3DayJEj/S4h5pGxLfK1R8a2yNceGbuNZhlOi4+P97uEmEfGtsjXHhnbIl97ZOw2pmGEgWkYAAAAbmMaBgAAAGCEZhkAAAAIgWYZTvviiy/8LiHmkbEt8rVHxrbI1x4Zu41mGU4bNWqU3yXEPDK2Rb72yNgW+dojY7fRLMNpkydPDvscH30k7doVgWJiVCQyRmjka4+MbZGvPTJ2G80ynBbuOJ3Zs6Xf/15q2VJavTpCRcUYRhbZIl97ZGyLfO2RsdtolhGzFiyQ+vWTevaUGjWS/vAH6eWX/a4KAABEk/J+FwBYWLVKuvFG6eqrpenTpaNHpbvvlm67TfrHP6QJE6QKFfyuEgAAuI4ry3DauHHjiv0zmzZJ11wjXXSRNGeOVL68dNJJ0gsvSFOnSi++KHXpIu3da1BwFCpJxig68rVHxrbI1x4Zu41mGU7Lzs4u1vFffSVdcYXUoIE0f75UqdKJz99xh7RihfTZZ9KFF3qNdVlX3IxRPORrj4xtka89MnYb212Hge2u3bJrl3TJJd7yio8+kurWDX3sjh1St27Stm3SjBnekg0AABB72O4akPT9994V5UOHpKVLC26UJSk+3lvXnJQk3XST9NBD3rpmAACAX+MGP0S97GxvjfJ//uNdUU5IKNrPVakivfaa1KKFNHq0tHmzNHOmVKOGbb0AACB6cGUZTttbyF14hw97Syg2bZIWLZLOO6945w8EpPvuk959V1q5UmrbVvryy5LXG40KyxjhIV97ZGyLfO2RsdtoluG0AQMGFPj84MHSe+9J8+ZJbdqU/HW6dpXWr5eOHPFu/Fu6tOTnijaFZYzwkK89MrZFvvbI2G00y3BaSkpKyOfee09KTfVGwnXuHP5rnXOOtG6d1K6ddNVV0rPPSmXh9teCMkb4yNceGdsiX3tk7DaaZTgt1F2rv/wiDRnibWV9662Re73f/c4bOTdypHTPPVLfvtLBg5E7v4uY5GKLfO2RsS3ytUfGbqNZRlQaP176+mvvqnIgENlzlysn/fnP3s1/c+dKHTp4Nw8CAICyh2YZUefLL6WxY6V775WaNLF7neRkb7zcrl3SBRdIa9bYvRYAAHATzTKclpqaesI/B4Pe8ovTTvNmI1tr3VrasEFq2FDq2FFavNj+NUvbbzNGZJGvPTK2Rb72yNhtNMtwWnp6+gn/PHeuN6li8mRvTnJpOPVUaflyb9OT66+XPv64dF63tPw2Y0QW+dojY1vka4+M3cZ212Fgu+vStW+fdO650kUXSX//e+m//sGD0pVXepuXfPih1KxZ6dcAAACKh+2uUWY89JDXME+c6M/rV67sTcqoX9+7yvz11/7UAQAASg/NMqJCerq39CIlRYqP96+Ok0/21i1XrSp16SJ9+61/tQAAAHs0y3BeTo40aJC3lfVdd/ldjbeGedmy48syfvjB74oAAIAVmmU4LSkpSdOmSZ98Ik2dKlWo4HdFnvr1vRsNd+yQrr1Wys72u6KSS0pK8ruEmEa+9sjYFvnaI2O30SzDaT17DtXo0d4ufZdc4nc1J2rSRFq40Fsi0r27dPiw3xWVzNChQ/0uIaaRrz0ytkW+9sjYbTTLcNo773RR+fLSuHF+V5K/iy+W/vY37yrzgAHS0aN+V1R8Xbp08buEmEa+9sjYFvnaI2O3lfe7ACCUFSuk2bOlV16RatXyu5rQrrhCmjnT2/GvZk3puecivwU3AADwB80ynPXSS9L550t9+/pdSeF69JC+/14aPFiqU0d68EG/KwIAAJHAMgw46+uvpVq15ikuSj6lgwZJjz/uzYOeMsXvaopu3rx5fpcQ08jXHhnbIl97ZOy2KGlDUBZlZkq7d6f5XUaxPPCAdPfd0pAh0pw5fldTNGlp0ZVxtCFfe2Rsi3ztkbHb2O46DGx3beenn6Rq1aRXX5V69/a7muI5elTq109KS5PeecebxQwAAPzBdteISdu3e9/r1/e1jBKJi5NSU70m+YYbpDVr/K4IAACUFM0ynJSR4X1PTPS3jpKqUEF64w2pdWvp6qulrVv9rggAAJQEzTKclJHhNZxnnOF3JSVXubI0f74UHy916XL8DwAAACB60CzDSZmZUkKCdOut/f0uJSy/+520ZIlUtap0+eXS7t1+V5RX//7RnbHryNceGdsiX3tk7Laom7OclZWlhQsXavfu3apfv76uvvpqVatWLaxz5uTkaMWKFdq6dasOHz6sRo0a6YorrlDlypUjVDWKKyPDW4IRC7sanXqqt8PfJZd4G5isXOk10a6IhYxdRr72yNgW+dojY7dFzTSMYDCosWPH6tFHH9WRI0eOPV6jRg1NmjRJvUs4MuHDDz9Uv379lJmZecLjderU0ezZs9W5c+eQP8s0DDutW3tf06b5XUnkbN0qtW8vNWvmXW3mz2IAANgrM9MwRowYoYcfflgJCQmaNm2ali1bpieffFLlypVT3759Na0EXdWKFSvUpUsXbd++XcnJyXrjjTe0cOFC3XHHHdqzZ4+6d++u/fv3G7wbFCb3ynIsadpUWrhQ2rjR2/Hv8GG/KwIAAIWJimUYCxYs0MSJE1WvXj2tWbNGtWvXliRddtlluvrqq9WmTRsNGzZMHTt2VKNGjYp0zu+//17Jyck6fPiw/vKXv2jQoEHHnrvyyiv17bffauPGjdqyZYvatWtn8r6Qvx9/9LaOjsaxcYVp21Z66y3p2mulW2+Vpk9X1OxQCABAWRQV/5sePXq0JCklJeVYo5yradOmGj58uA4dOqQxY8YU+Zzjx4/Xnj17dOmll57QKOf6+9//rh07dtAo+yB3RUxiorRq1Spfa7Fw5ZXeZiuzZkkjRkh+L4SKxYxdQr72yNgW+dojY7c53yxv2bJFW7duVdWqVZWcnJzvMQMHDpQkvfPOO/rpp58KPWcwGNSsWbMkSXfccUfkikVE/HrG8vjx4/0txkhysjR5sjRxovTEE/7WEqsZu4J87ZGxLfK1R8Zuc75Z/uijjyRJbdu2DTmdIjExUYmJicrOzlZ6enqh5/zyyy/1n//8R4FAgDtQHZSZ6d38VreuNGfOHL/LMXPnndKjj0oPPihNnepfHbGcsQvI1x4Z2yJfe2TsNueb5a3/2/qsefPmBR7XrFkzSdJnn31W6Dm3bNkiSTr77LPzLOuA/zIyvPXKgYBUpUoVv8sx9eCD0rBhXuP8xhv+1BDrGfuNfO2RsS3ytUfGbnP+Br/d/9vFIT4+vsDjEhISJHlzmAuza9cuSdK5554rSfruu+/0yiuvaP369Tpy5IguuOAC3X777apTp044paOEMjNj8+a+/AQC0oQJ0nffSb16SSef7M1iBgAAbnC+Wc4d3VbYxiO5zxdl1FvuMbVq1dLKlSvVvXt37d27V4FAQMFgUG+//baeeeYZvf3222rfvn2Y7wDFlZHhzSMuK+LipL/+VfrhB+n666Xly6WLL/a7KgAAIEXBMoxAICDJuymvILnP5x5fkKNHj0qSvvrqKyUlJalZs2bavHmzfvrpJ61Zs0Zt27bVDz/8oBtvvFH79u0L8x2gOIJB78py7ozlkSNH+lpPaalQwVuG0aqV1LWrVITVRBFTVjL2C/naI2Nb5GuPjN3mfLNcvXp1SdKBAwcKPC73+dzji3LODz/8UA0bNtTixYvVtGlTVapUSRdddJGWL1+u+Ph47dmzR6+99lqh5+vatauSkpJO+Grbtq3mzZt3wnFLly5VUlJSnp8fMmSIUlNTT3gsPT1dSUlJ2rt37wmPjxkzRuPGjTvhsR07digpKUlffPHFCY9PmjQpz3+A2dnZSkpKyjOmJi0tLd+96Xv06FGq7+Oqq5K0f/8Xx5ZhxMfHR+X7KMm/jypVpHfekc48U7r00jTddFPpvI/4+PiY/1z5+T5yl5BF+/vI5eL7yM042t9HLtfeR26+0f4+crn4PnIzjvb3kcvP95GWlnasF0tMTFSLFi00fPjwPOcplqDjhgwZEgwEAsERI0YUeNx1110XDAQCwRdffLHQc86ePTsYCASCgUAgOHfu3HyPSUlJCQYCgWCfPn1Cnmfjxo1BScGNGzcW+poomk8+CQalYHDDBr8r8c+uXcFggwbBYMOGweC33/pdDQAA0S3cfs35K8u5Uy7+8Y9/FHjcpk2bTji+IE2aNJHkLdkItUd44v/WARTlhkFETu6GJGXlBr/8nHaatHSpdOCAdNVV3o6GAADAH843yx06dJAkrV27NuTNe9u2bdP27dtVrVo1tWzZstBzNmnSRJUqVZIkHTp0KN9jcnJyJCnkbGfYyMiQqleXatb0uxJ/nXWW1zBnZEhJSdLBg35XBABA2eR8s3zuueeqZcuWOnjwoKZPn57vMVOmTJEkdevW7VgTXJDy5cvrxhtvVDAY1IoVK/I9ZsOGDZJUpOYbkZM7Ni73Ps3frncqS5o1kxYskD75ROrRQzpyxOZ1ynLGpYF87ZGxLfK1R8Zuc75ZlqSxY8eBC9BpAAAgAElEQVQe+547IznXhg0b9MILL6hixYp6+OGHjz2+cuVKxcXFKS4uLt8F4nfffbfKlSunxx57TP/+979PeO5f//qXZs6cqfLly6t3794G7wihZGQcn4QhSaNGjfKvGAe0aye99Za0aJE0cKD0v0EuEVXWM7ZGvvbI2Bb52iNjt0VFs3zllVfqrrvuUlZWltq1a6dp06Zp2bJleuKJJ9S5c2fl5ORo4sSJatiwYb4/n984uVatWumRRx7R7t27dfHFF2vy5MlasWKFpkyZog4dOujAgQMaNWqU6pflxbM++PXYOEmaPHmyb7W44qqrpFdf9b7uvdcbrxdJZGyLfO2RsS3ytUfGbnN+U5JcEyZMUK1atfTYY49p0KBBxx6vUaOGpk+fnucKcG6DXNDc5QceeECVKlXSQw89pGHDhh17vFy5crrnnnv0+OOPR/hdoCC5M5Z//eeTwnZuLCuSk71d/v74R6lOHWn06Midm4xtka89MrZFvvbI2G1R0yxL0oMPPqjbb79dCxcuVFZWlhISEnTNNdeoatWqeY7t0KHDsc1HCjJixAj16dNHixYt0jfffKOaNWvq8ssv54qyD3bv9m5k+/WVZRw3dKjXMD/wgFSrlnT77X5XBABA7IuqZlmS6tatq379+kX0nLVr12ZtsgMYG1e4hx/2GuZBg6SqVaWePf2uCACA2BYVa5ZRNmRkeN9/fWX5t7sClXWBgPTcc1K/flKvXtKDD4Z/0x8Z2yJfe2Rsi3ztkbHbou7KMmJXZqY3X7lGjeOPZWdn+1aPq+LipNRUqXFj6b77pM2bpVmzTsytOMjYFvnaI2Nb5GuPjN0WCAYjfW992ZGenq7WrVtr48aNIXcCRNHdfru0caP3haJZtMi7+e+MM6S335bOPtvvigAAcEu4/RrLMOCM346NQ+Guukpat85bitGmjbRkid8VAQAQW2iW4YyMDG7uK4lzzvEa5nbtpK5dpaefjvwsZgAAyiqaZTghJ0favj3vleW9e/f6U1CUOflkaf58bw3zyJFS797eGL6iIGNb5GuPjG2Rrz0ydhvNMpywa5d0+HDeK8sDBgzwpZ5oVK6c9MQTUlqa9Le/Se3bS7/ZyT1fZGyLfO2RsS3ytUfGbqNZhhPyGxsnSSkpKaVeS7S7+WZp1SopK0u64AJp9eqCjydjW+Rrj4xtka89MnYbzTKcEGpDEqaMlEyrVtKGDVKjRtIf/iC9/HJBx5KxJfK1R8a2yNceGbuNZhlOyMiQ6taVqlTxu5LYUbeu9N570oAB0m23edtlHz7sd1UAAEQXmmU4gbFxNk46SZo6VZoyRXrxRalLF2nPHr+rAgAgetAswwmhxsalpqaWei2xaNAgacUK6bPPpAsvlDZtOv4cGdsiX3tkbIt87ZGx22iW4YSMjPyvLKenp5d+MTGqfXtvHXPNmt5M5jff9B4nY1vka4+MbZGvPTJ2G9tdh4HtriPjyBGpUiXphRe8La9hKztbuvVWac4c6cEHpUcekeL4YzMAIEaF26+VN6gJKJadO71NSdi9r3RUqSK99prUooU0erR3tXnmTKl2bb8rAwDAPVxPgu9yx8Zxg1/pCQS83f4WL/aa5ZYtpY8/9rsqAADcQ7MM32VkeM1bfLzflZQ9XbpIn34qJSRIHTpIzz4rsTALAIDjaJbhu8xM6YwzpIoV8z6XlJRU6vWUNXfemaT335eGD5fuuUe6/nrphx/8rip28Bm2R8a2yNceGbuNZhm+CzU2TpKGDh1aqrWURUOHDlWFCtL48dLbb0srV3o7AG7c6HdlsYHPsD0ytkW+9sjYbRFtlmfOnKlHH300kqdEGRBqbJwkdenSpXSLKYN+nXFSkrcso1Ytb7zclCksywgXn2F7ZGyLfO2Rsdsi2izPmDFDjzzySCRPiTKA3fvcUr++tGqVN8bvzjulnj2l/fv9rgoAAH+wDAO++uUX6ZtvGBvnmooVpUmTpNdfl95919v1b8sWv6sCAKD00SzDVzt2eH/NH+rK8rx580q3oDKooIy7d/dGy1WsKF10kTR9eunVFSv4DNsjY1vka4+M3UazDF9lZHjfQ11ZTktLK7VayqrCMm7USFq7VrrlFql/f2nAAG8XQBQNn2F7ZGyLfO2RsdtoluGrzEypXDnpzDPzf/71118v1XrKoqJkXLmy9PLL3pXlOXOkiy+Wtm2zry0W8Bm2R8a2yNceGbst4s1ykFvnUQwZGV6jXJ6N16NC377S+vXS4cPSBRd4a5oBAIhlEW2WZ8+era+//jqSp0SMK2jGMtzUtKn0ySfemLmbb5aGDPFu1AQAIBZFtFk+9dRTVZ/OB8XA2LjoVK2aNGuWNHWqtzzjkksk/pwMAIhFrFmGrwq7sty/f/9Sq6WsKmnGgYB0xx3SmjXS9997u/69/XaEi4sBfIbtkbEt8rVHxm6jWYZvsrOlrKyCryyzq5G9cDNu1UpKT5c6dZK6dZPuucdb0wwPn2F7ZGyLfO2RsdsCQe7IK7H09HS1bt1aGzduVKtWrfwuJ+r8859SkybShx9K7dv7XQ3CFQxKEydKI0d6m5i8/nroKScAAJSWcPs1rizDN5mZ3nfWLMeGQEC6+27vDz87d0otW0qLF/tdFQAA4aFZhm8yMqQKFaQzzvC7EkRS27bSp59KbdpIXbtKDz0k5eT4XRUAACVDswzfZGRICQlSXAGfwlWrVpVeQWWURca1a0vvviuNHSs98YR0+eXSt99G/GWiAp9he2Rsi3ztkbHbirQVxDPPPKNAIBD2i40YMSLscyB2FGVs3Pjx43XppZeWSj1llVXGcXHS6NHelebkZKlFC2/3v44dI/5STuMzbI+MbZGvPTJ2W5Fu8Isr6NJfUV8oEFBOjP1dLDf4had1a+9r2rTQx2RnZ6tKlSqlV1QZVBoZf/utdMst0gcfSI89Jt1/f8F/oxBL+AzbI2Nb5GuPjG2F268V6cpynz598n08EAho4cKF2rNnjxo1aqTGjRuratWq2rdvnzZv3qwdO3aoXr16uuyyy4pdGGJfZqZ0440FH8NvHvZKI+PTTpOWLZMeeUR68EHpo4+kmTO95Rqxjs+wPTK2Rb72yNhtRWqWp0+fnuexn3/+Wd27d1fNmjX17rvv6sILL8xzzIoVK9SvXz9VqFBBU6dODbtYxI59+6T//pdJGGVJuXLSo496u/316uVNy3jjDW+ZBgAArirxX4Q++OCDWrx4sRYtWpRvoyxJnTp10oIFC/TKK6/oueeeK3GRiD25Y+PYHb3sueIKb1pGfLz0+99LEyZ4M5oBAHBRiZvluXPnqkWLFqpfSLfTrFkztWjRQi+++GJJXwoxKCPD+17YleWRI0faF1PG+ZFxvXrSypXeXOYRI6Trr5d++KHUyygVfIbtkbEt8rVHxm4rcbO8e/fuIt/4FwgEtHPnzpK+FGJQRoZUqZJUt27Bx8XHx5dOQWWYXxlXqCA99ZQ0b57XOLdqJW3c6EsppvgM2yNjW+Rrj4zdVuLtrhs2bKgdO3bo888/V4MGDUIet23bNjVt2lTx8fH66quvSlyoi5iGUXJ33y0tXepteQ1kZEjdu0ubN0vPPScNGuTtCAgAQLh82+76lltu0ZEjR3TFFVdoY4jLQevWrVPXrl2Vk5OjXr16lfSlEIMyMlivjOMSE6VVq6TbbpPuvFPq2VPav9/vqgAAKOI0jPzcf//9WrZsmdatW6c2bdqoRYsWatas2bHRcZs2bdLWrVslSRdddJFGjx4dsaIR/TIzJeav49cqVpQmT5bat5cGDpTS06W5c6VmzfyuDABQlpX4ynKVKlW0fPly3X333apUqZI+/fRTvfrqq5oyZYpmz56trVu36qSTTtKQIUP03nvvqVKlSpGsG1EsGPSuLBdlbNwXX3xhX1AZ51rGPXp4a5dPOkm66CIpn8mVUcW1fGMRGdsiX3tk7Law9tCqUqWKnn32We3atUsLFizQhAkT9Oijj+qZZ57R/Pnz9e2332rSpEmqWrVqpOpFDPjvf72/Yi/KMoxRo0aZ11PWuZhxo0bS2rXeNtn9+0u33iplZ/tdVcm4mG+sIWNb5GuPjN1W4hv8wA1+JbVxo3TBBdKGDd521wXZsWMHdwkbcz3j6dO9dcwNG3rLMs45x++Kisf1fGMBGdsiX3tkbKvUbvDLycnR66+/rieeeKLIJx89erTefPNN0Y/j13JnLBflyjK/edhzPeN+/aT166VDh7w/ZM2cGV2bmLiebywgY1vka4+M3VakZjkzM1OtWrVScnKyZs2aVeSTv/TSS+revbsuueQS/RCrOw6g2DIzperVpZo1/a4E0aJpU+mTT6Ru3aQ+faRrrpEY3Q4AKA1FapaTk5O1ZcsWderUqVjralJSUnTBBRdo7dq16t27d4mLRGzJHRvHHF0UR/Xq3lXlt9+W/vEPqUkTaepU6ehRvysDAMSyQpvl9PR0rVu3Tpdddpnee+899evXr8gnHzp0qNasWaNWrVpp4cKF3O0JSd6V5aJMwpCkcePGmdaC6Ms4KcnbzObmm6XBg6VOnaR//cvvqkKLtnyjERnbIl97ZOy2Qpvl9evXS1KJrwyXK1dOt99+u4LBoFatWlWicyC2FHVsnCRlR+sIhCgSjRmffLI0bZq0fLm3HKN5c2/r7CNH/K4sr2jMN9qQsS3ytUfGbiu0Wf7vf/8rSTrzzDNL/CJnnXWWJGnv3r0lPgdiQzDoXVku6u59jzzyiGU5UHRn3KmTt0X2nXdK998vtW3r/bNLojnfaEHGtsjXHhm7rdBm+eSTT5Ykff/99yV+kX379kmSatSoUeJzIDZkZUkHDxb9yjJQmKpVpWeekT7+2JvF3Lq19PDD0i+/+F0ZACAWFNosN2nSRJK0ZMmSEr/IwoULJUnnnXdeic+B2FCcsXFAcVx0kbdF9gMPSE8+KbVqJa1b53dVAIBoV2iz3L59e51++umaMWPGsfXLxfHBBx9oxowZOv300/X73/++REUidmRmet+L2iyzdMdeLGVcsaL0yCPexjdVqnjLMkaMkH76yb+aYilfV5GxLfK1R8ZuK7RZLleunJ5++mkdOnRIV1xxhZ5//nkdOnSo0BMfPHhQ48aNU9euXZWTk6Onn35acXFh7a6NGJCRIZ1yineDVlEMGDDAtiDEZMbNm0tr1kjjx0tTpnj/vGKFP7XEYr6uIWNb5GuPjN1WvigHJScna9u2bXr00Ud19913a8yYMeratatat26txMRE1ahRQ8FgUPv27dOXX36pjRs3avHixdq/f78k6eGHH1ZycrLpG0F0KM4kDMmb1Q1bsZpx+fLSvfdK110nDRwoXXaZdNtt3tSMov5hLRJiNV+XkLEt8rVHxm4LBIuxF/XcuXM1dOhQ7dmz58ST/G93id+e6vTTT9ekSZN0/fXXR6BU94S713hZ1KWLVKOG9OabfleCsuToUW/U3KhR3uYmU6dK117rd1UAgNIQbr9WrHURN910k3bu3KnXXntN/fr1U/PmzVW7dm2VL19eFSpUUJ06ddSiRQsNHDhQb775prZv3x6zjTJKJnf3PqA0xcVJgwZJn30mtWjhbWySnCz95s/9AADkUaRlGL920kkn6eabb9bNN99sUQ9i2NGj0vbtjI2Df848U3r3Xem116S77pIaN5aef95rnNl+HQCQH+64Q6n55hvp8OHiXVlOTU01qweespZxICD17Oltmd25s/frpCTp3/+2eb2ylq8fyNgW+dojY7fRLKPU5I6NK86V5fT0dJNacFxZzbhuXWnOHGnePG/U3HnnSS++6P0NSCSV1XxLExnbIl97ZOy2Yt3ghxNxg1/xzJwp9ekjHTjg7boGuOKHH7zJGampUseO0ksvSQ0b+l0VACASSvUGPyAcGRne1TwaZbjmd7+TXn5Zeu89b119s2bS009LOTl+VwYA8BvNMkpNZiY398Ftl10mbdkiDR7sjZlr21bautXvqgAAfqJZRqlhbByiQdWq0rPPSh9/7G2T3aqVlJIiFWHjUgBADKJZRqkpyZXlpKQkk1pwHBnn7+KLpfR06f77pbFjpdatpfXri38e8rVHxrbI1x4Zu41mGaXiyBFp587iX1keOnSoST04joxDq1hRevRRacMG79dt23o3AmZnF/0c5GuPjG2Rrz0ydhvNMkrFzp3ezVLFvbLcpUsXm4JwDBkX7vzzpbVrpSeflP7yF6l5c2nlyqL9LPnaI2Nb5GuPjN1Gs4xSkTtjmTXLiFbly3s3/W3aJJ1xhvSHP0h33CH9+KPflQEALNEso1RkZHg7pyUk+F0JEJ5Gjbyryn/5i7dtdpMm0oIFflcFALBCs4xSkZnpXY2rWLF4Pzdv3jyTenAcGRdfXJx0553SZ595M5mvucbbNnvPnrzHkq89MrZFvvbI2G00yygVJR0bl5aWFvFacCIyLrn4eGnhQunVV6XFi70ts+fMkX69Lyr52iNjW+Rrj4zdxnbXYWC766Jr395rlmfO9LsSwMbu3dKwYdIbb0jXXitNmSL9v//nd1UAgDK33XVWVpamT5+ucePG6fXXX9eBAwf8LglFwIYkiHWnniq9/rr0979Ln3ziXWV+6aUTrzIDAKJP1DTLwWBQjz/+uOrVq6cBAwZo9OjRSk5OVr169TQzgpcrZ8yYobi4OMXFRU00zvvlF+mbb9jqGmVDt27SP/8p3XijdPvt3t+qzJ/vjU4EAESfqOkIR4wYoYcfflgJCQmaNm2ali1bpieffFLlypVT3759NW3atLBfY9u2bRoyZIgkKRAIhH0+eHbs8K6u0SyjrDjlFCk1VVq2zNuQ57rrvCkazz0n7dvnd3UAgOKIimZ5wYIFmjhxourVq6c1a9Zo4MCBuuyyy3Tffffpgw8+UKVKlTRs2DD93//9X4lf4+eff1aPHj2UXZytuVAkGRne95Isw+jfv39Ea0FeZGync2epceP+WrNGatNGGjnSW8c8bJj0r3/5XV3s4DNsi3ztkbHboqJZHj16tCQpJSVFtWvXPuG5pk2bavjw4Tp06JDGjBlT4tcYMWKENm/efOzKMiInM1MqV04688zi/yy7GtkjY1tdunTRxRdLaWnefwt33eX9+pxzvJFzy5axrjlcfIZtka89Mnab89MwtmzZovPPP19Vq1ZVVlaWKleunOeYjIwMNWjQQFWqVNHu3btVtWrVYr3GW2+9pZtuukktWrTQmjVrVLlyZQUCAeUUssiQaRhFM3r08UYBgHTwoPffxMSJ0ubN3s2Aw4ZJvXtLVar4XR0AxJaYn4bx0UcfSZLatm2bb6MsSYmJiUpMTFR2drbS09OLdf7MzEwNHDhQ1apV05w5c1SxuLtmoFAZGaxXBn6tcmVpwADpH/+Q3n/fW888eLBUr550333eOn8AgBucb5a3bt0qSWrevHmBxzVr1kyS9NlnnxX53IcPH9bNN9+sH3/8UZMnT1ajRo1KXihCysxkbByQn0BA6tjRGzf31VdS//7Siy9KZ50l3XSTtGoVSzQAwG/ON8u7d++WJMXHxxd4XEJCgiRvDnNR/elPf9L69evVu3dv9enTp+RFokDhXFletWpVZItBHmRsq6j5JiZKzzwj/fvfx5dntG8vXXCBt0PgL78YFxrF+AzbIl97ZOw255vl/fv3S5KqVatW4HG5z+ceX5jFixfr6aefVqNGjTRlypTwikRI2dlSVlbJm+Xx48dHtiDkQca2iptvtWrSkCHS5597W2nXqSP17SslJEgpKdK339rUGc34DNsiX3tk7Dbnm+XceceF3YeY+3xR5iPv2rVLffr0UaVKlfT666+rCnfUmMm9qa+kyzDmzJkTqVIQAhnbKmm+cXHSVVdJixd7m5xcf7301FNSfLzUp4+0cWOEC41ifIZtka89Mnab881y9erVJanQba1zn889PpRgMKiePXtq7969Gj9+vM4///zIFIp85TbLJb2yzB9k7JGxrUjk27ix9MIL3hKNJ56QPvzQW55x6aXS3LnexidlGZ9hW+Rrj4zd5nyzfNppp0mSdhRye3ju86eeemqBx23fvl0rV66UJA0bNuzY1ta//pK8pjr3nz/44IMCz9m1a1clJSWd8NW2bVvNmzfvhOOWLl2qpKSkPD8/ZMgQpaamnvBYenq6kpKStHfv3hMeHzNmjMaNG5fnvSclJemLL7444fFJkyZp5MiRJzyWnZ2tpKSkPOuj0tLS8h2K3qNHj7Dex4cfpisQSFKFCtH9PmLl3wfvI7rfR9++Sbrmmi/05ZfSW29588u7d5+kmjVHatw46b//jY73ESv/PngfvA/eh3vvIy0t7VgvlpiYqBYtWmj48OF5zlMczs9ZfvHFFzV48GD94Q9/0PLly0Mel5iYqO3bt2v16tVq27ZtyOOysrLUs2fPApdrvPfee5Kkzp07S5KeeeaZY9M2fo05y4W7917p7bfZrQyw8umn0vPPS6+95jXPvXt7M5ubNPG7MgBwQ8zPWe7QoYMkae3atSFv3tu2bZu2b9+uatWqqWXLlgWer27dulq2bJmWLl0a8kvy1j7n/nN+jTKKJtyxcb/9Eygij4xtWefbsqX0179KO3d6GwDNny81bSpdfrn07rvS0aOmL+8EPsO2yNceGbvN+Wb53HPPVcuWLXXw4EFNnz4932Nyp1l069ZNlSpVKsXqUJhwNyQpbGQgwkfGtkor37p1pYcekrZvl2bNkn78Ubr2Wm9b7eefl/btK5UyfMFn2Bb52iNjtzm/DEPyxrx17dpVdevW1aeffqrTTz/92HMbNmxQu3btVK5cOW3ZskUNGzaUJK1cuVKdOnWSJPXt21d//etfi/x6cXFxbHcdIbVqeUsxRo/2uxKgbAkGpbVrvZnNb77pbaM9YID0xz9KDRr4XR0AlJ6YX4YhSVdeeaXuuusuZWVlqV27dpo2bZqWLVumJ554Qp07d1ZOTo4mTpx4rFH+raKMk0Pk7dvn3XDE7n1A6QsEpLZtpTlzvOVQQ4d6V5zPPltKSpKWL2d3QAAoivJ+F1BUEyZMUK1atfTYY49p0KBBxx6vUaOGpk+frt69e59wfG6DTKPsn4wM73s4yzAAhK9ePW/k3EMPSbNne1ebO3f21jYPGyb17OldeQYA5BUVV5ZzPfjgg9q5c6deeeUV/fnPf1ZaWpr+85//5GmUJe/GwKNHjyonJ0evvPJKsV4n9+cQnnA3JJGUZ+wMIo+MbbmUb+XK0sCB3lbay5dLZ50l3XGHdOaZ3lKpnTv9rrBkXMo4FpGvPTJ2W1Q1y5I3zaJfv34aNWqUevTooapVq/pdEkLIyJAqVZIKGX1doFGjRkWuIOSLjG25mG8gIHXqdHysY58+3qYniYnSTTd5Y+iysvyusuhczDiWkK89MnZb1DXLiB65Y+PCWQkzefLkSJWDEMjYluv5NmggTZjg7Q44YYL0f//nLcs49VSpRQtp1Chp2TLp4EG/Kw3N9YyjHfnaI2O30SzDTLhj4yTG6ZQGMrYVLflWr+5Nyti0Sdq1S5o5U2re3PvepYtUs6b3/amnvGNcmt8cLRlHK/K1R8Zuo1mGmcxMbu4DotFpp0m9ekmvvip98423xnnsWCkuThozxrvifPrp3jEzZnjHAECsipppGIguwaB3ZblXL78rARCOQEBq1sz7GjFC+vlnafVqb2nGsmXedA3J21778su9q8+//73E7SQAYgVXlmHiv/+V9u8P/8ryuHHjIlMQQiJjW7GWb6VK0mWXSX/+s7Rxo3cjYFqadNFF3uYnXbt6SzY6dZKefFLasMF+yUasZewa8rVHxm6jWYaJSIyNk6Ts7OxwS0EhyNhWrOdbp450881Saqq0Y4f0+efS0097V5afeEK68EJvK+4ePaSXX/a24460WM/Yb+Rrj4zdFhXbXbuK7a5De/NNbwTV3r3eltcAyp7Dh70tt5ctk5YulT75xLvK3KiRt2Tj8sulP/xBqlHD70oBxLIysd01ok9mplStmvfXsQDKpgoVpPbtpUcf9ZrmvXult97yGuRFi6Ru3bzfIy691DtmzRrpyBG/qwaAE9Esw0Tu2Dh2GweQ65RTpOuvl6ZOlb76SvryS2nyZG+m87PPSu3aSbVrn3gMAPiNZhkmIjFjWZL27t0b/klQIDK2Rb6hNWggDRrkXW3eu9e7snzPPdKePd7M54YNvS25c4/5/vv8z0PGtsjXHhm7jWYZJnJ37wvXgAEDwj8JCkTGtsi3aMqXly6+WHroIemjj6TvvvO24776aun996Ubb/SuOuce8+GH0qFD3s+SsS3ytUfGbmPOMiIuGIzchiQpKSnhnwQFImNb5FsyNWpISUnel+RN2sid7TxlivT44959ER07SqedlqIZM7wr1Wed5W2YwhKwyOEzbI+M3UazjIjLypIOHozMlWWmjNgjY1vkGxnx8dKtt3pfR49Kn37qNc7vvSctWNBKL798/NjKlb2mObd5btDg+K/r15cqVvTtbUQlPsP2yNhtNMuIuIwM7ztbXQOwEBcntW7tfd1/v/dYdrb3e89XX3lfX3/tfV+0yHs8d8lGICCdeWbeJjr316ec4t/7AuAmmmVE3IoVUrlyNMsASk+VKt6W202a5H0uJ0f6z3+ON9C5zfSmTdLf/nbijYO/+13+TfRZZ0n16nm/twEoW2iWEVHbt0tjx0rDhkVmo4HU1FTdeuut4Z8IIZGxLfK1V1jG5cp5yzji4701zr/1/ffHG+lfN9Tr1kk7dx7frvukk7xlHPldlT7rLK9hj0V8hu2RsduYhoGIGjbM+2vMRx6JzPnS09MjcyKERMa2yNdeuBmfcoq3pKN7d29Zx0sveX9Dlpnp3X+xbZu3nOPZZ73pHCedJH3wgfSnP3kbqzRr5m3vffrp3gYrffp4vwfOmuWNw9u927vxOVrxGbZHxm5ju+swsN31id5+2/sfx9y53pgnAIhlwaD07Rw3WvsAACAASURBVLd510nn/jor6/ix1ap5V5/zuyqdkODtdgjARrj9GsswEBE//eRdVb7qKumGG/yuBgDsBQLe1eTcK8q/tX+/1zT/uon+6itp3jxvyVru1t65y0R+3Uj/upmOxJI2ACVHs4yIePRR7yrK++8z3xQAJKl6den8872v3zpyxFsP/dur0uvXS2lpXqOdq3bt0NM7Tj/dmw4CwA7NMsK2dau3li8lxftNHABQsPLlvYlBiYlS584nPhcMejsY5re048MPvckeuSpV8s6R3/SOxETveQDhoVlGWI4elQYP9n5zvvfeyJ8/KSlJ8+fPj/yJcQwZ2yJfe7GWcSDgXU2uXVu66KK8zx886M2O/u0Ej6VLvcd/+eX4ef7f/wt9VbpmzaL9TWCs5esiMnYbzTLCMmOGtGqVd+e4xa5YQ4cOjfxJcQIytkW+9spaxpUrS+ed53391tGj0jff5F0nvXWrNH++d8U6V40a+TfRDRp4M6XL/69DKGv5+oGM3cY0jDCU9WkY330nnXOOd1PfzJl+VwMAKMyPP4ae3rFjx/GZ0uXLezOlGzTwdjxkMxZEsz170vW3vzENAz647z5vZ6ynn/a7EgBAUZx8stSqlff1W4cOeVM68tvpkMtqiGY//RTez9Mso0RWr5ZSU6UpU6RTT/W7GgBAuE46STr7bO8LiCXp6d7GQyXFwBkU2+HD0qBB3o0nt99u+1rz5s2zfQGQsTHytUfGtsjXHhm7jWYZxfbcc9I//+ldVbae75mWlmb7AiBjY+Rrj4xtka89MnYbN/iFoSze4Ldjh9S4sXdFecIEv6sBAAAoWLj9GleWUSzDhkm/+530yCN+VwIAAGCPG/xQZPPnS2+/Lc2d683nBAAAiHVcWUaR/PST9Mc/SldeKd1wg9/VAAAAlA6aZRTJY49JWVnS5MlF2x41Uvr37196L1ZGkbEt8rVHxrbI1x4Zu41mGYXaulV65hnpT3/ydnMqTV26dCndFyyDyNgW+dojY1vka4+M3cY0jDCUhWkYR49KHTpIe/Z4uzhVrOh3RQAAAEUXbr/GDX4o0IwZ0qpV0vLlNMoAAKDsYRkGQvruO2nkSKlnT6lTJ7+rAQAAKH00ywjp/vulI0e89cp+WbVqlX8vXkaQsS3ytUfGtsjXHhm7jWYZ+Vq9Wnr5ZenJJ6VTT/WvjvHjx/v34mUEGdsiX3tkbIt87ZGx27jBLwyxeoPf4cNS69ZS5crSxx9L5cr5V0t2draqVKniXwFlABnbIl97ZGyLfO2RsS1u8EPETZwoffaZtGGDv42yJH7zKAVkbIt87ZGxLfK1R8ZuYxkGTrBjh5SSIg0dKrVs6Xc1AAAA/qJZxjE7d0qDB0s1ang79gEAAJR1NMtl2P790rvvSsOGSY0bS/Hx0pIl0gsveA2zC0aOHOl3CTGPjG2Rrz0ytkW+9sjYbaxZLkNycrx1yMuWSUuXSmvWeKPh6teXunTxriZ36iTVrOl3pcfFx8f7XULMI2Nb5GuPjG2Rrz0ydhvTMMIQDdMwvv7aa46XLfN24fvhB++qcadOXoN8+eVSgwZSIOB3pQAAAJHHNAyc4IcfpBUrjjfIX33lTbS46CLprru8BrlNG6k8/+YBAAAKRcsUAWPHSnXq+FtDMCht3iytXy8dPSqdfbZ05ZXeleOOHaWTT/a3PgAAgGhEsxwBn3/ujVzzW2KidOutXoOckOB3NZHxxRdf6Nxzz/W7jJhGxrbI1x4Z2yJfe2TsNprlCJg1S3J0yXLUGzVqlObPn+93GTGNjG2Rrz0ytkW+9sjYbYyOg9MmT57sdwkxj4xtka89MrZFvvbI2G00y3Aa43TskbEt8rVHxrbI1x4Zu41mGQAAAAiBZhkAAAAIgWYZThs3bpzfJcQ8MrZFvvbI2Bb52iNjt9Esw2nZ2dl+lxDzyNgW+dojY1vka4+M3cZ212GIhu2uAQAAyrJw+zWuLAMAAAAh0CwDAAAAIdAsw2l79+71u4SYR8a2yNceGdsiX3tk7DaaZThtwIABfpcQ88jYFvnaI2Nb5GuPjN1GswynpaSk+F1CzCNjW+Rrj4xtka89MnYbzTKcxpQRe2Rsi3ztkbEt8rVHxm6jWQYAAABCoFkGAAAAQqBZhtNSU1P9LiHmkbEt8rVHxrbI1x4Zu41mGU5LT0/3u4SYR8a2yNceGdsiX3tk7Da2uw4D210DAAC4je2uAQAAACM0ywAAAEAINMsAAABACDTLcFpSUpLfJcQ8MrZFvvbI2Bb52iNjt9Esw2lDhw71u4SYR8a2yNceGdsiX3tk7DamYYSBaRgAAABuYxoGAAAAYKS83wWURFZWlhYuXKjdu3erfv36uvrqq1WtWrUSny8jI0MrV67Url27dNJJJykhIUEdO3ZUnTp1Ilg1AAAAok1UXVkOBoN6/PHHVa9ePQ0YMECjR49WcnKy6tWrp5kzZxb7fIcPH9Ztt92mBg0a6NZbb9WDDz6oUaNGqUePHjrzzDM1duxYg3eB4pg3b57fJcQ8MrZFvvbI2Bb52iNjt0VVszxixAg9/PDDSkhI0LRp07Rs2TI9+eSTKleunPr27atp06YV63z33nuvUlNT1ahRI02ZMkXLli3Ta6+9pm7duunQoUN66KGH9NZbbxm9GxRFWlqa3yXEPDK2Rb72yNgW+dojY7dFzQ1+CxYs0LXXXqt69eopPT1dtWvXPvbc1q1b1aZNGx09elSbN29Wo0aNCj3fwYMHVbNmTeXk5Gj79u06/fTTT3h+2LBhmjx5stq1a6dVq1blew5u8AMAAHBbmbnBb/To0ZKklJSUExplSWratKmGDx+uQ4cOacyYMUU6X/ny5bV8+XJ9/PHHeRplSerXr58kadOmTeEVDgAAgKgVFc3yli1btHXrVlWtWlXJycn5HjNw4EBJ0jvvvKOffvqp0HNWqFBB7dq10wUXXJDv8z///LMkqWLFiiWsGgAAANEuKprljz76SJLUtm1bVa5cOd9jEhMTlZiYqOzsbKWnp4f9mnPmzJEknX/+/2/vzsOqqvY3gL/7gCDgUE5pKoOW4YBzmgM/0ARMlBxuqYleNDJNi5yHyxWuRV3QIgLHJAlFM9NU1DRNzSEVSVEgBclEcwAnSCaVw/794XPOvVw4cBiWe5/T+3kenrpnr7P4nrf74NfN2mt1qfFcRERERGSaTKJZTklJAQB07ty5wnEuLi4AgNTU1Bp9vy1btmDZsmWQJAlvv/12jeaimpk4caLSJZg9ZiwW8xWPGYvFfMVjxupmEs1yVlYWAMDe3r7CcQ4ODgAe78NcXbGxsRgzZgxkWcabb76J119/vdpzUc15enoqXYLZY8ZiMV/xmLFYzFc8ZqxuJtEs379/HwAqPXhEd103vipkWUZQUBD8/PxQUlKC2bNnV3krOqp9htaoU+1hxmIxX/GYsVjMVzxmrG4mcYKfJEkAHje0FdFd1403Vn5+PsaNG4cdO3bAxsYGK1aswIQJE6pXLBERERGZDZNoluvXrw8AyMvLq3Cc7rpuvDFyc3Ph6emJU6dOoWXLltixYwe6detW/WKJiIiIyGyYxDKM5s2bAwCuXLlS4Tjd9WeeecbouX19fXHq1Cm4uLggISGhWo3ykCFD4OPjU+qrT58+ZY6v/OGHH+Dj41Pm/dOmTUN0dHSp106fPg0fHx/cvn271OtBQUEIDQ0t9dqVK1fg4+ODCxculHo9MjISc+bMKfVaQUEBfHx8yhy0snHjxnIfMBg9erSin+Po0aNm8TkA9f73OHr0qFl8DkCd/z10c5n659BR4+fQXTf1z6Gjts+hq9vUP4eOGj+HrhZT/xw6Sn6OjRs36nsxJycndO3aFTNmzCgzT5XIJmDlypWyJEnywIEDKxzn6OgoS5Ik//zzz0bNu3nzZlmSJLlVq1bytWvXqlzXL7/8IgOQf/nllyq/l4wzbNgwpUswe8xYLOYrHjMWi/mKx4zFqmm/ZhLHXV+4cAEdOnSAjY0Nbt68We4yi7S0NLRv3x716tVDdnY26tatW+m8Li4uSE1NxY4dOzB06NAq18XjrsUrKCiAra2t0mWYNWYsFvMVjxmLxXzFY8Zi/SWOu3Z2dka3bt1QWFiImJiYcsesWLECADB8+HCjGuUTJ04gNTUVHTp0qFajTE8Gf3iIx4zFYr7iMWOxmK94zFjdTKJZBoCQkBD9P2/cuFHqWmJiIpYvXw5ra2ssWrRI//qhQ4eg0Wig0WjKrHs5efIkABg87pqIiIiIyCR2wwCAwYMHIyAgABEREejbty8WLFgAJycnnDp1CmFhYdBqtYiKisJzzz1X7vv/dzu5nJwcAMCBAwcwaNCgCr/3vHnz4OHhUTsfhIiIiIhMhsncWQaA8PBwLF68GNevX8eUKVPg5eWFwMBAAEBMTAwmT55caryuQa5o3+Vr167h4MGD5X4dOHAABw8eLHMnm56c/31qlmofMxaL+YrHjMVivuIxY3UzmTvLOoGBgZg8eTJ2796N7OxsODg4YOjQobCzsysz1s3NDSUlJeXOExQUhKCgINHlUg1VdsQ51RwzFov5iseMxWK+4jFjdTOJ3TDUirthEBEREanbX2I3DCIiIiIiJbBZJiIiIiIygM0yqdr/HpVJtY8Zi8V8xWPGYjFf8ZixurFZJlWbO3eu0iWYPWYsFvMVjxmLxXzFY8bqxmaZVC0qKkrpEsweMxaL+YrHjMVivuIxY3Vjs0yqxu10xGPGYjFf8ZixWMxXPGasbmyWiYiIiIgMYLNMRERERGQAm2VStdDQUKVLMHvMWCzmKx4zFov5iseM1Y3NMqlaQUGB0iWYPWYsFvMVjxmLxXzFY8bqxuOua4DHXRMRERGpG4+7JiIiIiIShM0yEREREZEBbJZJ1W7fvq10CWaPGYvFfMVjxmIxX/GYsbqxWSZVmzRpktIlmD1mLBbzFY8Zi8V8xWPG6sZmmVQtODhY6RLMHjMWi/mKx4zFYr7iMWN1Y7NMqsZdRsRjxmIxX/GYsVjMVzxmrG5slomIiIiIDGCzTERERERkAJtlUrXo6GilSzB7zFgs5iseMxaL+YrHjNWNzTKp2unTp5UuwewxY7GYr3jMWCzmKx4zVjced10DPO6aiIiISN143DURERERkSBslomIiIiIDGCzTERERERkAJtlUjUfHx+lSzB7zFgs5iseMxaL+YrHjNWNzTKp2vTp05UuwewxY7GYr3jMWCzmKx4zVjfuhlED3A2DiIiISN24GwYRERERkSBslomIiIiIDGCzTKq2bds2pUswe8xYLOYrHjMWi/mKx4zVjc0yqdrGjRuVLsHsMWOxmK94zFgs5iseM1Y3PuBXA3zAj4iIiEjd+IAfEREREZEgbJaJiIiIiAxgs0xEREREZACbZVK1iRMnKl2C2WPGYjFf8ZixWMxXPGasbmyWSdU8PT2VLsHsMWOxmK94zFgs5iseM1Y37oZRA9wNg4iIiEjduBsGEREREZEgbJaJiIiIiAxgs0yqdvToUaVLMHvMWCzmKx4zFov5iseM1Y3NMqlaWFiY0iWYPWYsFvMVjxmLxXzFY8bqxgf8aoAP+IlXUFAAW1tbpcswa8xYLOYrHjMWi/mKx4zF4gN+ZNb4w0M8ZiwW8xWPGYvFfMVjxurGZpmIiIiIyAA2y0REREREBrBZJlWbM2eO0iWYPWYsFvMVjxmLxXzFY8bqxmaZVM3e3l7pEsweMxaL+YrHjMVivuIxY3Xjbhg1wN0wiIiIiNSNu2EQEREREQnCZpmIiIiIyAA2y6RqFy5cULoEs8eMxWK+4jFjsZiveMxY3dgsk6rNnTtX6RLMHjMWi/mKx4zFYr7iMWN1Y7NMqhYVFaV0CWaPGYvFfMVjxmIxX/GYsbqxWSZV43Y64jFjsZiveMxYLOYrHjNWNzbLREREREQGsFkmIiIiIjKAzTKpWmhoqNIlmD1mLBbzFY8Zi8V8xWPG6sZmmVStoKBA6RLMHjMWi/mKx4zFYr7iMWN143HXNcDjromIiIjUjcddExEREREJwmaZiIiIiMgANsukardv31a6BLPHjMVivuIxY7GYr3jMWN3YLJOqTZo0SekSzB4zFov5iseMxWK+4jFjdWOzTKoWHBysdAlmjxmLxXzFY8ZiMV/xmLG6sVkmVeMuI+IxY7GYr3jMWCzmKx4zVjc2y0REREREBrBZJiIiIiIygM0yqVp0dLTSJZg9ZiwW8xWPGYvFfMVjxurGZplU7fTp00qXYPaYsVjMVzxmLBbzFY8ZqxuPu64BHndNREREpG487pqIiIiISBA2y0REREREBrBZJiIiIiIywOSa5ezsbMTExCA0NBSbNm1CXl5ejedMSEjA559/jvDwcBw5cqQWqqTa4uPjo3QJZo8Zi8V8xWPGYjFf8ZixulkqXYCxZFlGSEgIFi9ejOLiYv3rDRo0QGRkJMaPH1/lOa9fv47x48fj4MGDpV7v2bMnNm7ciLZt29a4bqqZ6dOnK12C2WPGYjFf8ZixWMxXPGasbiazG8aMGTMQERGBtm3bYt68eXByckJiYiLCwsJw7949rFy5EpMnTzZ6vlu3bqFfv37IyMjAqFGjMGHCBADAN998g7i4OLRo0QI///wzHBwcDM7B3TCIiIiI1K2m/ZpJ3FnetWsXIiIi0KpVKxw/fhxNmjQBALz88svw9vZGr1698N5778Hd3R3t2rUzas6pU6ciIyMDb731FlatWqV/fdiwYXB0dERISAj8/PzK3HUmIiIior8Ok1izvGDBAgBAcHCwvlHW6dSpE2bMmIGHDx8iKCjIqPlOnz6NrVu3ol69eliyZEmZ60FBQXBwcMBPP/2EvXv31vwDEBEREZFJUn2znJycjJSUFNjZ2WHs2LHljvH39wcAxMfHIz8/v9I54+LiAACjRo1CgwYNyly3tLTUL8vYsGFDdUunWrBt2zalSzB7zFgs5iseMxaL+YrHjNVN9c2ybneKPn36wMbGptwxTk5OcHJyQkFBgVFHRurm9PDwMDhGd+3YsWNVLZlqUWhoqNIlmD1mLBbzFY8Zi8V8xWPG6qb6ZjklJQUA0Llz5wrHubi4AABSU1MrHCfLMlJTUyFJUoVz6ua7fPkyCgsLq1Iy1aKmTZsqXYLZY8ZiMV/xmLFYzFc8Zqxuqm+Ws7KyAAD29vYVjtPtWpGdnV3huLy8PH3zW9GcDRs2RP369SHLMm7dulWVkomIiIjITKi+Wb5//z4AoF69ehWO013Xja9svtqck4iIiIjMk+qbZUmSADxePlER3XXd+Mrmq805iYiIiMg8qX6f5fr16wNApcda667rxlc2n+49DRs2rPacuuUc58+fr/B7UvUlJCQY9dAmVR8zFov5iseMxWK+4jFjsXR9WnWfQVN9s9y8eXMAwJUrVyocp7v+zDPPVDjOzs4OdnZ2KCgoQGZmpsGH/HJycpCXlwcLCwuDC+8vX74MAPD19a3we1LN9OjRQ+kSzB4zFov5iseMxWK+4jFj8S5fvox+/fpV+X2qb5Z1u1IkJSVVOO7s2bOlxhsiSRI6duyIhIQEnD171mCzrJuvTZs2qFu3brljvLy8sH79ejg6Ohrc1o6IiIiIlFNYWIjLly/Dy8urWu9XfbPs5uYGADhx4gTu379f7pKItLQ0ZGZmol69eujWrVulc7q7uyMhIQF79uzB+PHjyx2zZ88eAICrq6vBeZo0aYJx48YZ8zGIiIiISCHVuaOso/oH/JydndGtWzcUFhYiJiam3DErVqwAAAwfPtzgXeD/9sYbbwAAvvvuu3K3hSssLMRXX30FSZL0Y4mIiIjor0f1zTIAhISE6P9548aNUtcSExOxfPlyWFtbY9GiRfrXDx06BI1GA41Gg4kTJ5Z6T+fOnfH666+jqKgIs2bNKvP9/vGPf+DmzZtwd3fHwIEDBXwiIiIiIjIFql+GAQCDBw9GQEAAIiIi0LdvXyxYsABOTk44deoUwsLCoNVqERUVheeee67c95e39VtUVBTOnDmD9evX488//8SkSZMAAHFxcdi8eTOeffZZfPnll+XOl52djd27dyMrKwuOjo7w9vaudM9mIjUpKCjA/v37kZ6ejocPH6JJkybo3bs3unTponRpZiMzMxOHDh3C9evXYWFhAXt7ewwYMKDSh5CJ6K8lPT0dhw4dwu3bt9GsWTMMGjQIjo6OSpdF/002IR988IFsZWUlS5Kk/2rYsKEcGxtbZuyhQ4dkSZJkjUYjT5w4sdz5rl27Jg8cOLDUfJIkyb169ZIzMjLKjC8pKZE/+OADuU6dOkbVQNVXUFAgf/rpp3Lz5s1lSZJkPz8/pUsyG1u3bpUbN25c5v/3kiTJ7u7u8q1bt5Qu0aQVFxfLU6dOlTUaTZl8rays5I8//ljpEs3SzZs39T8vYmJilC6HqFJ37tyRX3vttTI/JzQajTxjxgylyzNZa9euLffPN0NfxpBkuZKTOVRGd1c3OzsbDg4OGDp0KOzs7Go0Z0JCAk6ePAmtVosePXoYfKhvxowZiIiIQNu2bTFv3jw4OTkhMTERYWFhuHfvHlauXInJkyfXqBYCvvzySyxcuLDU0eV+fn4G7/ST8RISEtCvXz9YWloiICAArq6ukCQJJ06cQGRkJHJzc+Ht7Y34+HilSzVZwcHBWLx4MZ599lnMmjULLi4uyM/Pxw8//IBVq1ahpKQE8fHx8Pb2VrpUsyHLMry8vLB//34AQExMDCZMmKBwVabL3d0dhw8fNnjd2tq62vvV0mP379+Hu7s7zpw5gxdeeAEzZsxA27Zt8euvvyIkJATZ2dmIjY3l1rTVsG/fPixZsqTCMUVFRTh69Cjq1KmDBw8eVD6pyO7enOzcuVOWJElu3bp1mTtvycnJso2NjWxtbS2npaUpVKH5cHNzkzUajezp6Sm/9dZbsiRJBn87QFUzfvx4WaPRyKGhoWWuJSQkyBYWFrJGo5EvXryoQHXmoWXLlrJGo5FPnDhR5trUqVNlSZLkIUOGKFCZ+froo49K3Sn66quvlC7JpLm5ucmSJMmurq6yh4dHmS9vb2+lSzR5/v7+siRJspubm/zgwYNS1+Li4uTWrVvLAQEBClVn/ubPny9LkiQvXLjQqPFslo3k4uIiS5IkR0dHl3t94cKFsiRJ8pgxY55wZeZn+fLlcmpqqizL//l1Cpvl2pGSkiIfO3ZMzsnJKfd6p06dZEmS5G+//fYJV2Y+du/eLe/atUsuKSkpcy0+Pl6WJElu3769ApWZp2PHjsmWlpayg4OD7OPjw2a5Fuia5czMTKVLMUvnz5+XJUmSLS0teWNCAbobQ127dpUfPXpk1HtMYjcMpSUnJyMlJQV2dnYYO3ZsuWP8/f0BAPHx8cjPz3+S5ZmdqVOnokOHDkqXYZY6duyIvn37GjzmXffrKGtr6ydZlll55ZVXMGTIkHIfLL537x4AoFWrVk+6LLN07949jB07FpIkYcOGDXj66aeVLomoUuvWrQMADBgwwODGBCTGw4cPMWnSJFhZWWHDhg2wtDRunws2y0Y4cuQIAKBPnz4GT+pzcnKCk5MTCgoKeL47maTTp08jIyMDGo2m0pMwqeoePXqEyMhIADD4l26qmkmTJuHq1asIDg5G3759lS6HyCiHDh0CgGqfJkfV9/HHHyM1NRWBgYFo37690e9js2yElJQUADB4NLaOrsFITU0VXhNRbcrKytI3cJ6ennBwcFC4IvNy9epVDB8+HImJifj73/9eZu93qrrIyEhs374dL7/8MhYuXKh0OURGS05OhiRJNTpRjqru/Pnz+Oijj/D8889j7ty5VXqvSeyzrLSsrCwAgL29fYXjdA3Gf+/iQKR2ly9fhpeXFy5evAhHR0d88cUXSpdkFubOnYtffvkFt27dQmpqKlq3bo01a9bo93Sn6jtz5gzmzJmDZs2aYf369UqXY7Zk09osyyTk5+cjLy8PkiTB2dlZvzvO9u3b9bt8vfHGG2ykBZgyZQoePXqEpUuXGr38QofNshHu378PAJUePKK7rhtPpHbHjx/HiBEjkJ2djS5dumDXrl149tlnlS7LLJw5c0b/61YAuHbtGrZs2YLOnTujZ8+eyhVm4vLy8jB69GgUFxcjNjaWh7wI1KZNG9ja2qJp06bo2rUrRo4ciTFjxlS50aD/0PUHGo0Gsixj8ODB+i0PdVasWIGZM2di6dKlSpRoltatW4cjR47Azc0Nw4YNq/L7uQzDCLoHdSr7W7buenkP9hCpzZdffgl3d3dkZ2fjtddew7Fjx9go16J9+/ZBq9Xi3r17OHDgAIYPH47vv/8effv2xc6dO5Uuz2RNmTIFGRkZmD17Njw9PZUuxyz17NkTgwYNQr9+/eDo6IibN29i27ZtmDBhAl588UXcvHlT6RJNVklJCQDAysoKo0aNwpkzZ/D1118jPz8fly5dwoIFC6DRaPDpp5/i66+/Vrha85CXl4e5c+dCkiR8+OGH1ZqDzbIR6tevD+Bx4BXRXdeNJ1Krf//73/D394dWq8XHH3+MTZs2wdbWVumyzFKDBg3g5uaGzZs3Y8aMGSguLkZAQACKi4uVLs3krF27Fhs2bMBLL71U4R96XD5QM0uXLsUPP/yAw4cPIzk5GTk5Ofj2229hb2+Ps2fP4rXXXlO6RJOl6w8KCwtx5MgRxMfH4/XXX4eNjQ0cHR0REhKCWbNmAQA+++wzJUs1G0uWLEFWVhZcXV2rvbyFzbIRmjdvDgC4cuVKheN01/lrQVKzb7/9FgsXLoSVlRU2b96MefPmKV3SX8aHH36IRo0a4ffff6/whDQq31dffQUAOHHiBKysrKDRaEp9xcbGAgAmTpwIjUbDBylriZWVFUaOHIm9e/eiTp06OHbsGI4ePap0WSapXr16+mUsXl5eeOmll8qMeeeddwA83qHo0aNHT7Q+c5OXl4eIiAgA0P8lpDq48MgIul0ulyyOrAAADwpJREFUkpKSKhx39uzZUuOJ1CY/Px/Tpk2DJElYuXIlRowYoXRJfyk2NjZwdXXF9u3bkZGRgYEDBypdkknp2bMnrKysDF5PTU3FjRs30LFjR7Ro0QKdOnV6gtWZvxdeeAHe3t7Ytm0bjhw5gv79+ytdksmRJAkdOnTAuXPn0L1793LHtG7dGhYWFtBqtbh79y5vwNXA5s2b8eeff8Le3h5Dhw6t9jxslo3g5uYG4PHdjPv375e7zCItLQ2ZmZmoV68eunXr9qRLJDLKypUrcevWLYwcORJ+fn5Kl/OXpFsiYGFhoXAlpqeyB578/PwQGxuLOXPmYMKECU+oqr+WF154AQBw584dhSsxXb169cK5c+cM3jWWZVm/ttnQ2Q5kHN3zIaNHj67R82RchmEEZ2dndOvWDYWFhYiJiSl3zIoVKwAAw4cPR926dZ9gdUTG++KLLyBJEubPn690KWbpwYMH2LlzJ77//vtyr8uyrN+3nb+BIlOkO6HW0CmgVLkxY8YAAH788cdyr58+fRqyLMPR0RENGjR4kqWZnZMnTwL4z03P6mKzbKSQkBD9P2/cuFHqWmJiIpYvXw5ra2ssWrRIifKIKpWbm4v09HRYWlqiS5cuSpdjlrRaLUaOHAlvb2+kpaWVub527VpcunQJ7dq1Q69evRSokKhi6enpSElJMXjXU9fg9ejR40mWZVYGDhyIbt26ITExscy+9iUlJQgODgYA/vavhoqKinD9+nVIklTjP/O4DMNIgwcPRkBAACIiItC3b18sWLAATk5OOHXqFMLCwqDVahEVFcVz3km1cnJyADz+YfzKK69UOLZr167c47MabG1tMXbsWKxbtw4DBw7Eu+++CxcXF1hYWGDPnj1YtmwZ6tSpg1WrVildKlG5Jk6ciOPHj2PDhg36O6A60dHROH/+PFq0aMFt+2ooLi4OvXv3xtSpU5GUlIRhw4bhwYMHWL58Ofbt24fnn38es2fPVrpMk6b7Mw8AGjduXKO52CxXQXh4OBo3bowPPvgAU6ZM0b/eoEEDxMTEYPz48QpWZ564Z3Xt0a2VLSkpwcGDByscq1svR1W3fPly5ObmYseOHWWOYdadkFjTXwlS+SRJ4s+MGnr//fdx/PhxvPnmm0hMTISbmxssLS2xa9curFy5EpIkITw8nAeT1JCzszN++uknvPHGG1ixYoV+KSfw+K791q1buV65hh48eKD/95ouj5VkbkhZZdnZ2di9e7f+aMqhQ4fCzs5O6bKISEV+/fVXHDt2DLdv34atrS06d+6M//u//+ODfaR6q1evxqxZs/Trk3UaNGiApUuXwt/fX6HKzI9Wq8WBAweQnJwMSZLQvXt3/mVahdgsExERUSl//vkn9u3bh0uXLgEAnJyc4OHhwQf76C+JzTIRERERkQHcDYOIiIiIyAA2y0REREREBrBZJiIiIiIygM0yEREREZEBbJaJiIiIiAxgs0xEREREZACbZSIiIiIiA9gsExEREREZwGaZiIiIiMgANstERKS4+/fvK10CEVG52CwTEVGtS09Pxx9//AEACAwMhEajQUhICAAgOTkZ58+fLzW+V69e6NKlCy5evPjEayUiqgibZSIiqlVXrlxB9+7dMXr0aGi1Wv3rkiQhNzcXo0aNQu/evfH7778DAG7evIm0tDRkZmbC0dFRoaqJiMrHZpmISCWKi4uVLqFW2Nvb46233sLx48exefNm/euyLOP9999HRkYGZs2aBScnJwDAgQMHAADDhg1DnTp1FKmZiMgQNstERLWkU6dO0Gg01f6ysrLCJ598ouhnSE1NxZ07d8q8fuHCBUyaNAkPHz6s8P0lJSWIioqCg4MDXn31Vdy5cweJiYkAgJMnT8LR0REdO3ZEkyZNcOzYMQDApk2bAAC+vr61/GmIiGpOkmVZVroIIiJz4OLigl9//bXK7/vvH8NWVlb47bff0LJly9oszWienp44ePAgRo8ejfXr1wMAioqK0Lp1a9y5cweBgYFYvHixwfcXFRXB1ta2wu8hSZL+LnNgYCCaN2+O4uJiPPfcc9BoSt/DeffddzFt2rSafzAiomrinWUiolqSnJwMrVZbpa9Hjx7Bx8dHP8fChQsVa5QLCgpw+PBhaLVaWFpa6l+vW7cu5s+fDwAIDQ1FamqqwTnq1q2LoqIiFBUVIScnB+PGjdNf69WrF86dO4eCggIUFRVhyZIl+Prrr1FcXAxJkvDbb7/h4sWLSE9PR3p6Oi5evFjuXW4ioieJzTIRkYKmTp2KHTt2AACmTZuGRYsWGf3eoqIifPbZZ3j//ffLvZ6Xl4e7d+8aPd/evXv1yyxGjBhR6lpAQACcnZ3x6NEj+Pv7VziPlZUVbty4AU9PT8TFxelfT0hIQPfu3REQEIDr169DkiRERkYCALZs2aL/C4SzszMkScKlS5eqlAcRkQhslomIFBIcHIwvvvgCADBhwgR942jIw4cPsWzZMly7dk3/WlhYGKKionDp0qUy4zds2IDmzZtjzpw5RtWzZcsWAMDTTz+NIUOGlLpmaWmJiIgIAI/XHuuWaPyvoqIi/Otf/0L79u2RkJAALy8v/TKK/v37o379+li9ejX69++PuLg4pKWlAYD+nwBw584daDQatGrVyqi6iYhEYrNMRCTIqVOnEBYWVu61qKgo/dpfX19frF27ttL5Pv/8c7z77rsICgoC8HjJw7x581BSUoLPP/+8zPjdu3ejuLgYzzzzTKVz5+XlYdu2bQCAMWPGlLsrhYeHB1599VUAj5eLFBYWlhlz9+5dLFu2DI8ePcL8+fOxa9cuNGzYEAAwePBgpKWlYdq0aZg/f36ptc8pKSkAgAcPHuD27dto0aIFLCwsKq2biEg4mYiIal1mZqbcqFEjWZIk2dfXV37w4IH+Wnh4uCxJkixJkvz2228bPWdBQYHcsmVL2dLSUj5//rwsy7Kcn58vN2rUSH7qqafk/Px8/dj79+/LNjY2soWFhZyZmVnp3KtXr5YlSZI1Go185swZg+MyMjLkOnXqyJIkyYsXLy53zIEDB+STJ0/KsizLFy5ckGfOnCmvXbtW/u233/RjLl++LNevX1/u37+/3LhxY9nZ2VmWZVlOTU2VJUmS3d3dKw+EiOgJ4J1lIiIB7O3t8d577wEA4uLi4OHhgZycHAQHB2PmzJmQJAn/+Mc/sHLlSqPntLGxwT//+U9otVoEBgYCAGxtbeHv7w9PT89SR0bHx8ejqKgI/fv3h729fYXzlpSU4NNPPwUAuLq6omvXrgbHtm3bFpMmTQIAhIeHo6CgoMyYAQMGoFevXgCATz75BOHh4Th//jzatGmjH+Pg4IBvvvkGwcHB8PDwQFpaGi5duoTjx48DeLwNn7EGDRpU7tfSpUuNnoOIyBDLyocQEVF1BAUFoU2bNvD398eRI0fQpk0b5OTkwMLCApGRkZgyZUqV5/Tz80NwcDDy8vLw8OFDWFlZITQ0tMw43Vroyh7G041NS0uDJElYsGBBpeMDAwMRExODnJwcxMTE4J133tFf02q1mDVrlv5/6x7w++OPP8o8iPjiiy9i3LhxuH79OjZt2oR169bh9OnTAB4v2TDWgQMHIElSmdcr+0sCEZExuM8yEZFge/fuxahRo/R3YT/77DP9XefquH37Npo0aWLwelJSErp3745mzZrhypUrsLKyMjj27t27aNeuHe7evYv+/fvj8OHDRtUwefJkrFmzBu3atcOFCxf0r+v2WdbtpQyg1L/rSJKEcePGITY2Frm5uWjVqhUaNmyIrKwsNGvWDFevXi2z5zIRkRL4k4iISDAvLy98//33sLGxAfC4Wb5582a156uoUZZlGXPnzgUAzJ07t8JGGQDmz5+Pu3fvwsLCAuHh4UbXMHnyZABAenq6/rhq4PFDhyUlJcjOzoadnR2srKyQkZGBkpIS5ObmwsbGBm3atIFWq0VsbCwAoGHDhvDz88P169eh1Wrx9ttvs1EmItXgTyMioifA1dUVGzduhIWFBS5fvgxvb+9y1/vW1CeffIL9+/eje/fuBvdf1tm6dSvWrFkD4HHz26NHD6O/T8+ePeHo6AgAiImJKXM9NDQU+fn56N69O5566ikAQGxsLAoLCzFo0KAy493d3fX/XpU6iIhE4zIMIqInaPXq1fq1yj4+Pvjuu+/KXW9bHRs3boSvry9sbW1x/PjxCh+Sy8zMRNeuXZGbmwsHBwckJSXpt3gz1owZMxAREQE7OzvcuHED9erVA/B4aYe9vb3+LwM2NjYYM2YM9u/fj2vXriEpKalUbUlJSRgwYAByc3MBAE2bNsXRo0fx/PPPVzUCIqJaxzvLRERP0OTJkzF9+nQAjx96y8nJqfGcjx49wqJFi+Dr6wtra2ts37690t0kkpKSkJ+fDxsbG3z33XdVbpQBYNiwYbCwsICHh4e+0QWARo0a4cSJE1izZg0iIyPRuHFjrF27FlevXkXr1q3RqFEj/dgjR47A09MTubm56Nu3L1599VXcunULAwYMKLUWmohIKbyzTET0hGm1Wnz00UeYPXu2fh1zdZSUlGDr1q1YtGgRLly4gEaNGmHTpk14+eWXjXr/nj17cO/ePYwdO7Za37+4uBhZWVlo2bJludfT09Oxbds2REZG4tq1a/oH/erVq4cff/wRa9as0e/a0b9/f8THx6NOnTpwd3dHYmIiGjRogFWrVmH06NHVqo+IqDawWSYiMjE3btxAdHQ0oqOjkZmZCQAYOHAgoqOj4eDgoGhtWq0WQ4YMwblz55CVlQXg8QN8c+bMga+vL2bOnIk2bdqgT58+GDVqFCRJwptvvomoqCj9w4h37tzBgAEDkJKSgo4dOyIxMRHW1tZKfiwi+gtjs0xEZGKuXbsGFxcX5ObmomPHjli0aBH+9re/KV2WXkBAAHbu3InevXtj6NChGD58OGxtbcuMmz59OgYNGoThw4eXuXb37l2MGDECS5cuxYsvvvgkyiYiKhebZSIiE7R161Y0bdoUrq6uSpcijCzLtfbwIxFRdbFZJiIiIiIygLthEBEREREZwGaZiIiIiMgANstERERERAawWSYiIiIiMoDNMhERERGRAWyWiYiIiIgMYLNMRERERGQAm2UiIiIiIgPYLBMRERERGfD/GowaDfTB9hAAAAAASUVORK5CYII=",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x312f8fb10>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"test_mach = 0:0.1:7\n",
"test_Cd = zeros(length(test_mach))\n",
"index = 1\n",
"for i = test_mach\n",
" test_Cd[index] = Cd(i)\n",
" index += 1\n",
"end\n",
"plot(test_mach, test_Cd)\n",
"ylim(0,1)\n",
"xlabel(\"マッハ数 -\");ylabel(\"Cd -\");grid()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Rocket(0.0,0.0,200.0,500.0,3.0,10.0,0.5)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# ロケットTypeを作る。ダイナミクスなどの関数にまとめてパラメータを入れるため\n",
"type Rocket\n",
" vy::Float64\n",
" y::Float64 \n",
" Isp::Float64\n",
" thrust::Float64\n",
" burn_time::Float64\n",
" mass_init::Float64\n",
" area::Float64\n",
"end\n",
"rocket = Rocket(0.0,0.0,200.0,500.0,3.0,10.0,0.5)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"drag (generic function with 1 method)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function drag(rocket::Rocket)\n",
" T, a, P, rho = air(rocket.y)\n",
" mach = rocket.vy / a\n",
" drag = 0.5 * Cd(mach) * rho * rocket.area * rocket.vy ^2\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x312e193d0>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.legend.Legend object at 0x313ac3b10>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"test_vel = 0:10:700\n",
"test_drag = zeros(length(test_vel))\n",
"index = 1\n",
"for i = test_vel\n",
" rocket = Rocket(i, 0, 200, 500, 3, 10, 0.12)\n",
" test_drag[index] = drag(rocket)\n",
" index += 1\n",
"end\n",
"plot(test_vel, test_drag, label=\"面積0.12m2のとき\")\n",
"# ylim(0,1)\n",
"xlabel(\"速度 m/s\");ylabel(\"抗力 N\");grid()\n",
"legend(loc=\"best\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ダイナミクスの関数\n",
"ここで常微分方程式をもう一度書いておく、JuliaのODEパッケージのodexx関数では連立常微分方程式の関数を記述するとサクッと数値積分してくれる。\n",
"\n",
"$$\n",
"\\frac{d}{dt}\\begin{bmatrix} m \\\\ \\dot{y} \\\\ y \\end{bmatrix} \n",
"= \\begin{bmatrix} - \\frac{F}{I_{SP} \\cdot g} \\\\ \\frac{F-D}{m} -g \\\\ \\dot{y} \\end{bmatrix}\n",
"$$\n",
"\n",
"高度が0以下の時は計算を止めている。"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"flight_dynamics (generic function with 1 method)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function flight_dynamics(t, x, rocket::Rocket)\n",
" # x = [mass, vy, y]\n",
"# type Rocket : vy, y, Isp, thrust, burn_time, mass_init, area\n",
" dx = similar(x)\n",
" g0 = 9.80655\n",
" if t < rocket.burn_time\n",
" thrust = rocket.thrust\n",
" else\n",
" thrust = 0\n",
" end\n",
" m_dot = thrust / rocket.Isp / g0\n",
" rocket.vy = x[2]; rocket.y = x[3]\n",
" if x[2] > 0\n",
" D = drag(rocket)\n",
" else\n",
" D = - drag(rocket)\n",
" end \n",
" dx[1] = -m_dot\n",
" dx[2] = 1 / x[1] * (thrust - D) - gravity(x[3])\n",
" dx[3] = x[2]\n",
" if x[3] < 0.0\n",
" dx[1] = 0; dx[2] = 0; dx[3] = 0\n",
" end\n",
" dx\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## S-130ロケットの飛翔\n",
"せっかくなので既に実用化されているロケットで計算、グラフ化をしてみる。ここではJAXAが鹿児島県内之浦から打上げている観測ロケットであるS-310を見てみる。\n",
"\n",
"公式資料が見つからなかったから、S-510ロケットと同じような比推力の推進剤を使っていると仮定して、地上と真空中の比推力が変わらないというかなり大雑把な近似をしてしまって計算する。\n",
"(かなり大雑把な値の取り方と近似をしているので注意)\n",
"* [Wikipedia S-520ロケット](https://ja.wikipedia.org/wiki/S-520%E3%83%AD%E3%82%B1%E3%83%83%E3%83%88)\n",
"* [Wikipedia S-310ロケット](https://ja.wikipedia.org/wiki/S-310%E3%83%AD%E3%82%B1%E3%83%83%E3%83%88)\n",
"* [Yahoo 知恵袋 【至急】宇宙工学の演習問題がわかりません・・・](http://detail.chiebukuro.yahoo.co.jp/qa/question_detail/q1180624511)\n",
"\n",
"| 名称 | 値 |\n",
"|:----:|:----:|\n",
"|初期質量| 722 kg|\n",
"|直径|30 cm|\n",
"|推力|31800 N|\n",
"|比推力|260 s|\n",
"|燃焼時間|28 秒|\n"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" "
]
},
{
"data": {
"text/plain": [
"Void"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.028209 seconds (176.61 k allocations: 10.181 MB)\n"
]
}
],
"source": [
"t = [0., 400]\n",
"Isp = 200; thrust = 31800; burn_time = 30; mass_init = 722; area = 0.07 # S-310 rocket\n",
"rocket = Rocket(0.0, 0.0, Isp, thrust, burn_time, mass_init, area)\n",
"@time t,y = ode23s((t, x) -> flight_dynamics(t,x,rocket), [rocket.mass_init, 0.0, 0.0], t; abstol=1e-5, reltol=1e-5,\n",
" maxstep=1e11/10, minstep=1e11/1e18)\n",
"Void"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x3144ab610>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# ==== PLOT ====\n",
"mass = zeros(length(t))\n",
"velocity = zeros(length(t))\n",
"altitude = zeros(length(t))\n",
"for i = 1:length(t)\n",
" mass[i] = y[i][1]\n",
" velocity[i] = y[i][2]\n",
" altitude[i] = y[i][3]\n",
"end\n",
"time_S310 = t\n",
"mass_S310 = mass\n",
"vel_S310 = velocity\n",
"alt_S310 = altitude\n",
"subplot(311)\n",
"title(\"JAXA S-310\")\n",
"plot(t,mass); ylim(0, rocket.mass_init*1.1)\n",
"ylabel(\"質量 kg\");grid()\n",
"subplot(312)\n",
"plot(t, velocity)\n",
"ylabel(\"速度 m/s\")\n",
"axhline(330, linewidth=1, linestyle = \"--\")\n",
"subplot(313)\n",
"plot(t, altitude/1000)\n",
"ylabel(\"高度 km\")\n",
"xlabel(\"時間 s\");grid()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### S-310ロケットの結果の考察\n",
"上の計算では最大高度が150kmを少し超える程度になっている、Wikipediaによると190kmとか210kmなどと出ているので、実際にはもう少し性能が良いようだ。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Blue Originの再使用ロケットNew Shepardロケットの場合\n",
"Blue Originという会社はそもそもかなり秘密主義なので、こちらも公式に性能表が出ていない。Wikipediaなどの怪しい情報を元に考えてみる。\n",
"垂直上昇の能力のみを考えてみる。\n",
"\n",
"[youtude 307,000 Feet |Blue Origin](https://youtu.be/0EIkzHYYm1w)\n",
"\n",
"| 名称 | 値 |\n",
"|:----:|:----:|\n",
"|初期質量| 29000 kg|\n",
"|直径|2.5 m|\n",
"|推力|420 kN|\n",
"|比推力|360 s|\n",
"|燃焼時間|120 秒|\n",
"初期質量や直径については根拠の無い数字なので注意です。"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" "
]
},
{
"data": {
"text/plain": [
"Void"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.030199 seconds (79.22 k allocations: 4.507 MB, 32.61% gc time)\n"
]
}
],
"source": [
"t = [0., 400]\n",
"Isp = 360; thrust = 420000; burn_time = 120; mass_init = 29000; area = 4.9 # Blue Origin New Shepard\n",
"rocket = Rocket(0.0, 0.0, Isp, thrust, burn_time, mass_init, area)\n",
"@time t,y = ode23s((t, x) -> flight_dynamics(t,x,rocket), [rocket.mass_init, 0.0, 0.0], t; abstol=1e-4, reltol=1e-4,\n",
" maxstep=1e11/10, minstep=1e11/1e18)\n",
"Void"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x31566cb10>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# ==== PLOT ====\n",
"mass = zeros(length(t))\n",
"velocity = zeros(length(t))\n",
"altitude = zeros(length(t))\n",
"for i = 1:length(t)\n",
" mass[i] = y[i][1]\n",
" velocity[i] = y[i][2]\n",
" altitude[i] = y[i][3]\n",
"end\n",
"time_NS = t\n",
"mass_NS = mass\n",
"vel_NS = velocity\n",
"alt_NS = altitude\n",
"subplot(311)\n",
"title(\"Blue Origin New Shepard\")\n",
"plot(t,mass); ylim(0, rocket.mass_init*1.1)\n",
"ylabel(\"質量 kg\");grid()\n",
"subplot(312)\n",
"plot(t, velocity)\n",
"ylabel(\"速度 m/s\");grid()\n",
"axhline(330, linewidth=1, linestyle = \"--\")\n",
"subplot(313)\n",
"plot(t, altitude/1000)\n",
"ylabel(\"高度 km\")\n",
"xlabel(\"時間 s\");grid()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## S-310とNew Shepardの比較\n",
"2種類の高度100kmを超える垂直打上げロケットの飛翔プロファイルを計算したので、比較してみる。"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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NzPjv1q1bue/3TeZVZqArQ19fX/x/SSNa1tf+/fvVztXevXsByM9VSUrLvWFlZQUAaiMO5efnIygoCLNmzYK7uzuMjY0xZMgQsZ5URAxydHRU2WdcXByA4ihSDg4OKtsxxtCwYUN1t8DhfFBw45/D4VQIHTt2xLFjx/DPP/+gSZMmAIDY2FjMnz9fbMMYU3uVBR0dHezcuRMmJiYAgDVr1ry9m3kNc3NzAEBCQoJG7WXtatasWa7xhg4dCgMDAwDA77//Llf3yy+/AABGjx4NXV3dMvfdokULBAQE4Pr163BzcwMAPH/+XGU4zLIyePBg9OrVCwDwww8/4NatWyrbltzVLu2zIbtevXol14csPKrM+L99+zYSEhJQo0YNuLq6AgB69uwJoDhEpWzciIgIMMbEtwdvSlnntXr16ir7UvW7UNb5en2uZBgaGqq9F9mbkOzsbIW6x48fY8qUKbCwsEDPnj2xcuVKREREwN7eHr1791bbL6B+QVxycS37/KuitHoO50OCG/8cDqdCcXV1xalTp0TjZs+ePeIuoGynV9XVoEGDMo1lamqKPn36ACiO6/5fIXODSEtLKzX+ekFBAe7duycnV1aMjIwwaNAgAMU7yDID+uLFi4iKioIgCBq5/KijcePGOHHihOjCERoa+tbctH7++WcYGhoiPz8fY8eOVbkLLDMEGWO4deuW2s+G7FqwYIFcHzLj/ezZswD+t+vfpUsX0YiWvSEKCQlBUVERwsLCIJVKYWFhgWbNmr2Ve5ah6bwKQtm/rmWuLr/88otGc3Xy5Eml/ZT2Bktm9L++SDh69CiaNGmC9evX49WrVxgwYAACAwPx7NkzXLlyBdOmTSv1HtTdd0mD/nV3t9cpuRDicD50qpTxHx8fjx07dmDZsmVYsWIF9uzZI77aLY24uDj89ttvWLFiBQ4fPoz8/HyNx42OjsbGjRuxcuVK/P3332VKVBQREYF169ZhzZo1CA8P11hO9lp69erVWL9+Pa5cuaKxLIdT1bCwsICHhweAYkPjbRmVyqhbty4AlOlvQFmR+eATkeh3rYp//vlHTLIkkysPMtcfANi6dSsAYNOmTQCAzp07w87Ortx9y9DT0xN3xRljePjw4Rv3CQD169fH4sWLARQvWNavX6+0nZWVlWigl9ftyNvbG4wxPH/+HDdu3JDz95fh4eGBatWqIS0tDefPnxddfmRvDd42/9W8ylxd3tRF686dO2rr7969C+B/7j9AsbE9fPhwZGVlwdraGrdv38aBAwcwdOhQ1KhRAwCUJvgqC7LFPxHh9u3bKttJpVLExMS80VgczntFhR01LgOFhYU0YcIEuagdsktHR0cuQsHr5OXl0aRJkxRk69SpQ8HBwWrHTU9PpyFDhiiNznD58mW1somJieTl5aUg26ZNG4qJiVEre/v2bWrevLmCbLdu3Sg5OVmtLIdTmQgNDaUpU6bQ1KlTKSkpSW3bvn37Ko1Y8rYZPXq0+HusKWWN9pObmytGIfnoo4/UtpUlMKpRowa9evVKY52UYW9vT4wVJ3xKTk4WY7gfOnRIrVxkZKT4nG7duqW27ZQpU8S5uHHjhkZ6qYr2U5KioiJq06YNMcbIyMhIvJfXo/3IQnEOHTpU7ZgFBQVUUFCgtE42zooVK0hfX18h2gwRUb9+/Yix4sRrMl0CAgI0ul8Zb2NeZdF+lOU7kFEygV3J5Fdz5swhxhg1aNBAaYhQGYWFhVRQUCAXdrRktJ9mzZqplL17967YbsWKFWL50aNHxfIdO3YolR0zZoxSvUtG+1ElS1T8jA0NDYkxRsOGDVPZLigoiEf74XBKUCWMf9kXR926dWn16tUUGhpKf/75J02cOFFMHnT06FEFOalUSgMGDCDGGLVs2ZL8/f0pJCSE5s+fTwYGBqStrU3Hjh1TOmZOTo4YO9nLy4v2799PQUFBNHnyZJJIJGRkZKRyAfDs2TPxy2LQoEF05MgROnLkiJhoyNLSkuLi4pTK3rt3T0xY4ufnR8ePH6cDBw6IWVKdnJzoxYsX5Z9MDucdsn37dvFL9/DhwyrbZWRkUI0aNYixsmVPLcmMGTPI3d1dbci/7OxsMbFQWRI1ldX4JyKaOXOmeO+hoaFK29y4cUOM/17W7L7KWLZsmVwcecYY1a9fn6RSqVq506dPi3Jr165V2a6wsJAcHR2JseJMweoMypJoYvwTEV27dk0hHv7rRm9AQIDYl6oQmdeuXRPllYWRlYXGrFWrFjHGyMXFRaGNLDlW7dq1xXCkKSkpGt2vjLcxr29i/MfFxYnz+fnnnyuVzc3NpTp16hBjxUm8ZLwe53/z5s1K9ZYltNPW1qbExESxbu/evaKsskVTSEiIGCJUEAS5xZGmxj8RkZ+fn/h8zp49q1CflZUlJvjixj+HU0yVMP7r1q1LgiDQxYsXFepkGQaVZcaUpWJv0aKFQurxkJAQEgSBzMzMlMY/nj59utjv60lYtmzZIu4c5uXlKcjK0qCPGzdOoU72pePp6alQJ5VKqW3btsSY8oQqsmyJ6owbDqcykZycLGY3dXR0VJrZNzs7W9z1Z4zRypUryzXWvHnzRCMkKChIoT4jI0NMpmVgYEAPHz7UuO/yGP/Z2dlkY2MjGuCvJxh7+PChmA/Azs5OLslReXny5IloUMmuklluVZGfny8agBYWFkoz0BYUFMhldC3L4klT45+IaNasWWqNfyISN0MEQaAvvviCrl+/Tq9evaKUlBTav38/1atXT7yX7OxsBfnw8HC5MZQtvBISEuTaqMsroIq3Ma9vYvwTEf3www9i397e3hQWFkaZmZmUmZlJ586dE/MmSCQSue/YksZ/r169SEtLi7799lt6/PgxvXr1iv7991/R8GeM0dy5c+XGffjwobg5V6dOHQoKCqKcnBx69OgRLVq0iHR1dcUsz6/nYyiL8f/06VMyMzMjxhgZGxvThg0bKCUlhXJzcyksLIxatWpFdnZ2YuI9bvxzOFXE+D9+/DgdO3ZMaSbEv/76ixhTTI6Tn59PZmZmJAgCnTx5Umm/w4cPJ8YYzZkzR648KSmJtLS0SCKRyGUsLInsrcCmTZvkyiMjI4mx4tfWL1++VJArKCgQEx297nYkSzRja2urdKcuLS1NfMVZ3kylHM67RpbFU/Yl7+npSePGjaN58+bR6NGjxZ142aK4sLCwXOM8e/ZM3KVlrNjFzs/Pj+bNm0e+vr6igaCjo0P79u0rU98ljRFNjX+iYpcImfGnq6tLQ4YModmzZ9PQoUNFl5y6deuq/DtTHnr16iXqqqOjQ0+fPtVI7vjx46SjoyPKtmvXjsaMGUPz5s2jcePGyWWadXJyooyMDI11Kovxn5OTQ7a2tmqN/8zMTOrRo4eccf76ZWJiojKDdMnkUIwxOnXqlNJ2JZNyzZ8/X+P7LcmbzmtZjH/GmILxT1S86aTMbVZ2aWlp0Y8//ignIzP+BUGgY8eO0dixY5XKCoJAo0aNUvqd9fpCrqTMN998Q1FRUWKZv7+/KFcW45+I6NKlS+Lv9+uXqakpRUVFiUnjuPHP4VQR418dO3fuFHc0SnLkyBFiTH12QFl2QSsrK7nydevWqdydl7F161ZiTNGfV5bqfPTo0Splv/nmG2JMMRunzEVp4cKFKmVHjRpFjDH65ptvVLbhcCobQUFB5OzsrNIAMTQ0pGnTpil9k1YW7t69S+7u7krHEQSB2rRpQ+fPny9zv+XZ+Zfx+PFj6tOnj4JOgiBQ3759FXzN35RDhw6J/Q8ePLhMspcuXSI3NzeVz0lXV5dGjx5N6enpZep34cKFGhv/RMVvZmXt1Rm9hw4dor59+5KlpSXp6uqSsbExtWjRgubOnVvqvPbv31/cqFF1NmD27NmiHspcSjTlTebV2tq61HmQudcp2/mXcfXqVfrss8/Izs6ODAwMyMDAgBwcHOizzz6jyMhIhfYld/5l7rG7du2iNm3akLGxMdWoUYM6d+5MBw8eVHvvmzdvpmbNmpGenh6Zm5tT7969KTw8nIiKF3oSiYQEQaCZM2eKMiV/3zQx/omKN+2+/PJLsrGxIT09PWrQoAF9/vnn4nx4enqSIAjc+OdwiIgRqYipVgUoKCiAu7s7Ll++jN9//10u4+OsWbOwcuVKjB07Fr/++qtKeRMTE+Tl5SEuLg7169cHAAwZMgQHDhzAkiVLMG/ePKWyjx8/RoMGDaCrq4usrCwxUUvbtm1x+fJl+Pv7Y/jw4Uplz507h48++gi2trZyEQgsLCzw/PlzhIeHi3GfX8ff3x+jRo2Cl5dXqVFEOJzKxp07dxAZGYmkpCTk5eXBxMQE9vb2cHNzKzWWeFm4ffs2IiIixGhg5ubmcHV1LTVZ0X9JbGwsTp8+jZSUFFhYWMDT0xM2NjYVpo864uLiEBERgcTEROTm5sLQ0BC2trZwc3ODqalpRatXZalK83r69Gl4eXkBKA7ZKQt/yuFwqj5aFa1AeUlISMD48eNx+fJl+Pr6KqR6l6VuVxc3W1tbGw4ODrh+/Tpu3rwpGv+ayNarVw/GxsbIzMzEvXv30LhxYzGVPGNMrayzszOA4i+C3Nxc6Ovr49mzZ0hNTdVYtmRqeg6nqtCoUSM0atToPx+ncePGFWroK8PW1laM5V7Zsba2hrW1dUWr8d7B55XD4VQGqlSc/1mzZqFz585wcXGBtbU1oqOjsWXLFmzbtk2hrWzHr7QkQLK4xCXjDScnJ4MxppEsEYmyWVlZYrxudbImJiYwMjKSk5Xpa2JionYHVNZvamqqWt04HA6Hw+FwOJzXqVLG/9WrV3H69GlER0cDABITE3Hw4EGlmTpl2f5KcyWQ1ZfMDlhe2ZJ9lFdWUzkiUppKncPhcDictwX7/6RqHA7n/aFKGf+hoaGQSqVIS0vDqVOn0K9fPwQFBcHNzQ1Hjx6Vayv7g1XakQZZfck/cOWVLdlHeWU1lXt9PA6Hw+Fw3jZV+Fggh8NRQZX0+Tc2NkbHjh3RsWNHTJ8+HWvWrMGUKVPQrVs3aGkV35KRkRGAYlccdcjqZe1l/09LSyuzbMk+srKyYGJiUmZZTcdkjMHAwEChPjU1FX///Tesra2hr6+vti8Oh8PhcJRx//59AMXfNTExMbhy5UoFa8ThvF/k5uYiLi4OXbt2Rc2aNd/t4BUQYeitkpOTI8b3LRnPv2fPnsQYo3Xr1qmVb9asGTHG6O+//xbLnJyciDH1GUmJiExMTEgQBLp79y4RFaenNzQ0JEEQKCoqSqVcWlqaGFtZlnwsJSVFDG2mLD+AjKtXr4pJU5Th7+9PAPjFL37xi1/84he/+FXJr5I5Lt4VVXLnvyT6+vrw8PDA4cOHERMTI4Ymc3Z2xvHjx3Ht2jWVsnl5ebh79y4YY2IUHZnsrVu3EBUVhT59+iiVjY+PR0ZGBvT19WFvbw+geIfEyckJERERiIqKUhm1JyoqCkBx9A89PT0AQM2aNWFhYYGUlBRERUXBw8NDrWxJfUsiiyTh7+9f6aKdcICvvvoKa9asqWg1OErgz6Zyw59P5YU/m8oLfzaVl9u3b+OTTz6pkAhgVd74ByD6JMpi7QNAx44dsXz5cpw4cQJEpNQ//vTp08jLy4OdnR3q1KkjJ7t3714EBwdjwYIFSscMDg4GALRv316ub09PT0RERCA4OBgjR45UK/u6ge/p6Yl9+/YhODhYpfGvSlaGzNWncePGaNmypdI2nIrDxMSEP5dKCn82lRv+fCov/NlUXvizqfxUhIt2pT/wm5eXh6NHjyIoKEhpPRGJMe9L7oZ7e3vDwsICCQkJCoeBZfzyyy8AgGHDhsmVDx48GDo6Orhw4QKuX7+udMzNmzcDgEIiL9nPhw4dkgsfKiM3Nxc7duwAY0xBdsSIEQCA7du3Iy8vT0E2KSkJhw4dgiAICjpzOBwOh8PhcDilUemNf6lUigEDBqBnz564e/euQv22bdsQGxsLBwcHtG3bViyXSCRYuHAhAGDOnDkKB2kPHz6MI0eOwMzMDNOmTZOrMzMzw9SpUwEAU6dru6bZAAAgAElEQVRORWFhoVz9unXrcO3aNTg6OmLUqFFydS4uLhgyZAhevXqF6dOnK+g7f/58JCUlwdPTU3RRktG7d2+4urri6dOnWLJkiVxdUVERJk2ahPz8fPj6+sLOzk7ZdImk56arredwOBwOh8PhfHhUercfAwMDDBs2DLt27YKXlxcmT54MZ2dnSCQSBAcH4+eff4a2tra4E18SPz8/hIaG4tChQ3B3d8eMGTNgYWGB06dPY82aNdDW1saOHTtQvXp1BdmFCxciPDxcTHE+efJkVKtWDUePHsWmTZtgZGSEgIAAMbpQSTZs2ICrV6/C398fGRkZGDNmDAAgICAA+/fvh6WlJbZu3ar0fnfu3Al3d3csXboUT548wYABA5Cbm4vNmzfj5MmTcHJywqpVq0qdt847O6P1rdbwtvWGj50P2tdrD10t3VLlOBwOh8PhcDjvL4yo8gfxzc7OxogRI3DkyBGFOmtra/z222/o3LmzUtn8/HxMnz4dGzdulItXXLt2bWzbtg1du3ZVOW5GRgY+//xz7N+/X67c3t4egYGBaNWqlUrZJ0+eYOTIkQgLC5Mrb9OmDQIDA9Xu3N+5cwfDhg0TD/fK6Nq1K3bu3Alzc3OVsleuXEGrVq3wbcC3uKd7D6GxoUjNSYWBtgE6WnWEj50PvG290cS8Cc8TUAHs3r2bu2xVUvizqdzw51N5+ZCfTU5ODu7cuVPRaqgkODgY3bp1q2g1PngaNWqkEJ5dZq9FRka+83MZVcL4l3Hr1i2cP38eqampMDAwgIuLCz766CO5g76qiI+PR0hICNLT02Fvb48ePXpAR0dH43HPnDmDnJwcNG3aFD4+PhobzhEREbh06RKkUilatWql8qCuMsLCwnDt2jVoa2vDzc1Now/H6x+mIipCVFIUQmNDERobivD4cORJ82BpZAlvW29423qji20X1DKspbFeHA6Hw+Fw/vedy+GoQ5mBz41/zlujtA9TbkEuwh+FI/RBKEJiQ3A9ufhAc7NazYoXA3be8GjgAX1tniCMw+FwOBx1yL5zeXhtjjJk4Twrm/Ff6X3+OW8XfW19+Nj5wMfOBz/iRyRnJeNE7AmExIYg4EYAVl5YCV2JLjysPMTzAi61XCCwSn82nMPhcDicCoGH1+ZUJbjx/4FTy7AWRriMwAiXESAi3Eq5hdDYUIQ8CMF3Z77D7BOzYW5gDm87b9FNqK5x3YpWm8PhcDgcDodTDrjxzxFhjMHJwglOFk6Y6joVeYV5+CfhH/G8wO4bu0EgNDFvIi4EOlp3hKGOYUWrzuFwOBwOh8PRgCpl/Ofk5ODEiRO4d+8e8vPzUbNmTbRr1w7NmjX7T8eNjo4WD/w6OzvD29sbgqCZG0xERAQuXrwIqVSK1q1ba3zgl4hw5swZXLlyBdra2nB3d3/nrxR1tXTRyaYTOtl0wvedv0dqTipOPTyFkAchOHTnENZeWgttQRtu9d3EKEIt67SERCj9ADaHw+FwOBwOpwKgKsIff/xBZmZmxBhTuDw9PSklJUWpnJWVlVIZ2dWoUSOVY6anp9OQIUMUZBwcHOjy5ctq9U1MTCQvLy8F2TZt2lBMTIxa2du3b1Pz5s0VZLt160bJyclqZSMjIwkARUZGqm33phQVFdHd1Lu0/tJ66rO7Dxl+b0hYCDJdbkqD9w2mXy//Sg/THv6nOnA4HA6HU5G8q+/ct01ubi4tWLCAGjZsSPr6+lSvXj2aMmUKFRQUqJTZs2cPNW3alAwMDMjc3JwGDRpEz549k2tTVFREe/bsIRcXF2KMUXR0tNK+/vnnH2rXrh3p6elRkyZNaN++fW/1/ioL6j4fFfnZqRI7/xERERgyZAi0tLQwa9YseHh4gDGGixcvYv369Thz5gw+/fRT/PXXXyr76NKli9LyBg0aKC3Pzc1Fjx49cOHCBXTq1AkTJkyAoaEhjh8/jo0bN6JTp04ICwtTGuIrJSUFnp6eiImJwcCBA8UswPv27UNAQAA++ugj/PPPP7CyslKQvX//Pj766COkpqZi3Lhx6Nu3L3JycvD7778jODgYXl5eCA8PR40aNTSZuv8MxhgczBzgYOaASW0noUBagEuJl8QoQuOPjUcRFcHe1F48ONzJphOMdY0rVG8Oh8PhcD50vvrqKxw6dAgBAQFwcXHBrVu30KtXLzg4OGDixIkK7ePj4/HJJ59gy5Yt6NGjB5KSkjBixAjMmTMHv//+u9ju7Nmz+PLLL9GvXz/cuHFD6dhXr15F165dsWrVKvTt2xfnz5/Hp59+iqKiInz88cf/2T1zSvDOlxvlYOTIkSQIAi1fvlyhLiIigiQSCQmCQPfv31eot7KyIkEQyjzm9OnTiTFGPXr0oKKiIrm6LVu2iG8A8vLyFGQHDhxIjDEaN26cQt3XX38tvq14HalUSm3btiXGGH3//fcK9SNHjiTGGPn6+qrUu7LsQqTlptEft/6g8X+NJ7u1doSFIMl3EnL73Y0Whi2k84/OU4FU9Q4Dh8PhcDiVncrynVtWTE1Nafr06XJlL1++pOzsbKXt8/PzFXb5J0+eTD4+PnJlmZmZlJ+fT3FxcSp3/r28vGjUqFFyZT/88ANZWlpSYWFheW6n0lJZd/6rhPF/8+ZNOn/+PKWnpyutb9q0KTHG6MCBAwp15TH+k5KSSEtLiyQSidIFBRGRm5sbMcZo06ZNcuWRkZHEGCMjIyN6+fKlglxBQQFZW1sTY4yCg4Pl6g4ePEiMMbK1tSWpVKogm5aWRoaGhsQYozt37ijVq7L+IXrw4gFt+ncTDdw7kKr/UJ2wEGS8zJj67elHP0f8TPdS7ykssjgcDofDqcxU1u/c0rCzs6P27dsrtTVKIz8/nw4cOEAWFhZ08uRJpW0ePnyo1PjPyMggQRDo2LFjSttHRESUWZ/KTGU1/qtE8HYnJye4ubnBxMREaX1eXh4AQFdX962Mt2/fPkilUnh4eKBhw4ZK24wdOxYAEBgYKFceEBAAABg4cCCMjRVdXLS0tEQ3IFWyo0aNUnqguHr16hgwYIBS2cqObQ1b+LX2w4EhB5A6MxUXP7uImW4z8SL3BaYET4HDBgfYrLXBuL/GYX/0frzIfVHRKnM4HA6H816yfPly/Pvvv2jevDn27NkDqVSqkVzLli1hYGCAUaNGYe3atfDy8irTuDExMSAihYRo1tbW0NPTw71798rUH6d8VAmff3VcuXIFMTExEAQBzs7Ob6XP8PBwAIC3t7fKNrK6iIgISKVSSCSSMskuXrwY58+fVxiXMVaq7K5duxRkqxISQYJ29dqhXb12+Pqjr5GZl4kz8WfE8wK/XfkNDAytLVuLWYfd6rtBR6JT0apzOBwOh1NmcnKAO3febp+NGgEGBuWTHThwIM6ePYtvv/0Ww4cPx9y5c7FixQoMHjxYrdzRo0eRnJyM06dPw8/PD/fu3cM333yj8bjZ2dkAAFNTU4W6GjVqiPWc/5YqbfwnJydj2LBhAAAfHx+lB2jLw82bNwEALi4uKtvUq1cPxsbGyMzMxL1799C4cWMQEaKjo8EYUysrW6TExcUhNzcX+vr6ePbsGVJTUzWWlen4PmCka4ReDr3Qy6EXACDhZYKYdfjXK7/i+3Pfo5p2NXS07igeHm5cszEYYxWsOYfD4XA4pXPnDqAkPsgbERkJvEkE8Pbt2yMkJATR0dFYsmQJPv74Y9y5cwerV68W2zDG8OLF/97EW1pawtLSEi1atED16tXh5+eHL774AmZmZhqNWa1aNQDA8+fPFbw50tLSYGjI8wa9C6qs8R8XF4euXbvi/v37sLa2xm+//aayLRFBEAQYGhqiTp06aNWqFT7++GP07dtXafvk5GQwxlRGApJhZWWFGzduICUlBY0bN0ZWVhZyc3NLlTUxMYGRkRGysrKQkpKCBg0aIDk5WaxT9+GX9ZuamqpWt6pMfZP6+LTFp/i0xacooiJEJUUh5EEIQmNDMefEHHz191ewNLIUFwJdbLvAoppFRavN4XA4HI5SGjUqNtbfdp9vAycnJ+zevRuMMfz555+IiorSSK579+4oLCxEXFycxsa/vb09BEFAdHQ0bG1txfLY2Fi8evUKDg4O5boHTtmoksb/hQsX0L9/fzx79gzNmjXDsWPHYGlpqbSth4cHkpOTkZubi9TUVMTGxuL+/fvYs2cPvLy8cPjwYXElKiMzMxMASl2Byupl7WX/aiqblZWlIKvpmESE7OxsBd3fNwQmoEWdFmhRpwVmd5iNnIIchMeHi1mHd0TtAAA0r91czDrcoUEH6GvrV7DmHA6Hw+EUY2DwZrv0b5P4+HjMnj0bmzZtQvXq1cVyY2Nj6OrqKt28fPz4MS5duoSBAwfKlQGAjY2NxmMbGhrCy8sLAQEB6N27t1ju7++PunXrKg2fznn7VDnjf+vWrZgwYQIKCgowePBgbNu2DQZqnN527dol93N2djb27duHmTNn4tSpUxg/frxCG5k7CRGp1UVWL2tf0g2lvLKayr0+3oeCgbYBujbsiq4NuwIAkrKScCL2BEJjQ7Hr+i78+M+P0NPSg0cDDzHrsHMtZwisSpxt53A4HA7nP6VWrVr4559/MGXKFMyaNQumpqYICwvDzp07sWLFCqUyGRkZGDp0KNavX48+ffrg6dOnmDhxInx9fZX676tjxYoV6NChAzZu3IgBAwYgPDwcP/74I7Zu3fpB2jUVQZWyiH744QeMHTsWUqkUy5Ytw969e9Ua/sqoVq0aPv30U+zfvx9AcdSchIQEuTZGRkYAgKysLLV9yepl7WX/vomspnKMsTLf+/tIbcPa+MTlE+zotwNPpj3BjQk3sNRrKSSCBN+EfYPmm5ujzqo6+OSPT7Dj2g48yXxS0SpzOBwOh1Nh6Onp4cSJE8jJyYG3tzcaNmyI77//HsuXL8ekSZOUyjRp0gQ7d+7Ehg0b0LBhQ/Tq1Qvu7u745ZdfVI6jypBv3rw5QkNDsWvXLtjY2GDhwoXYtm1bqYeNOW+PKrPzf+DAAcybNw86OjrYvXs3+vfv/0b9derUCc2bN8e1a9dw7tw58eAwANSuXRsvXrxAfHw8mjVrprKPR48egTGGWrVqASheWFSrVg05OTmIj49XeXA3PT0dWVlZkEgkMDc3F8cEilfXGRkZSsOEysYEAAsL9T7uX331lcJhmmHDhsnd5/sGYwxNLZqiqUVTTGs/DXmFeTifcB6hD4pdhAJvBIJAcDJ3EqMIdbTqiGo677frFIfD4XA4JXFwcBA3QTWlLDaEtbW12vCh7du3x4ULF8o0flUmODgYCxculCt7+fJlxSiDKmL8Z2dn44svvgBjDJs2bXpjw1+Go6Mjrl27hufPn8uVOzs749atW4iKikKfPn2UysbHxyMjIwP6+vqwt7cHUGx8Ojk5ISIiAlFRUSqNf9lhGltbW+jp6QEAatasCQsLC6SkpCAqKgoeHh5qZUsLa7pmzRq0rCwOhhWErpYuvGy84GXjhWVYhtScVJyMPYnQ2FAcvH0QP136CdqCNtwbuIuHh1vUbgGJIKlo1TkcDofD4bwndOvWDfPmzZMru3LlSoWdcagSbj+bNm1CSkoK+vfvj9GjR7+1fmXxZF/fIe/YsSOA4pWaKmR17du3l3u15enpqbHs6wa+p6cniKhcspzSqWlQEx83/Rhb+mxB/NR43PniDlZ3XQ0jHSMsO7cMbX5rA4uVFvj4wMfYcmUL4tPjK1plDofD4XA4nLdKlTD+f/vtNzDGMGfOnDLJRUdHIzo6Wmndq1evcP78eTDGFFZegwcPho6ODi5cuIDr168ryBIRNm/eDAAYPny4XJ3s50OHDiElJUVBNjc3Fzt27ABjTEF2xIgRAIDt27eLWYtLkpSUhEOHDkEQhPfafeddwBiDY01HTGo7CUeGHcGLWS9wdvRZfNHmCzx6+Qh+R/1gvdYajhscMen4JBy+cxgZeRkVrTaHw+FwOBzOG1Hpjf+XL1/i3r170NLSUut/rwwfHx84Ozvj4sWLCnVLly5FWloaWrZsiSZNmsjVmZmZYerUqQCAqVOnorCwUK5+3bp1uHbtGhwdHTFq1Ci5OhcXFwwZMgSvXr3C9OnTFcadP38+kpKS4OnpqZAWu3fv3nB1dcXTp0+xZMkSubqioiJMmjQJ+fn58PX1hZ2dneYTwSkVbYk2PKw8sKjTIlz47AJSZ6bi4JCD6GTdCUExQei3tx9Ml5uiw9YO+O70d7iQcAGFRYWld8zhcDgcDodTiaj0Pv/p6ekAio3f7t27q23bvHlzrFy5Uvx56tSpmD17Nnr27Ikvv/wSbdu2RWFhIfbu3YvAwEBoaWlh7dq1SvtauHAhwsPDcfr0aXh5eWHy5MmoVq0ajh49ik2bNsHIyAgBAQHQ0lKcwg0bNuDq1avw9/dHRkYGxowZAwAICAjA/v37YWlpia1btyodd+fOnXB3d8fSpUvx5MkTDBgwALm5udi8eTNOnjwJJycnrFq1SqO545SfGvo1MKDxAAxoPAAA8ODFAzG3wE+XfsLCMwthomsCLxsv8fCwXQ07HqaMw+FwOBxOpabSG/+yuPZFRUUICwtT27aoqEju55kzZyI7OxvLli3Dd999J1dXq1Yt/Prrr3Bzc1Pal56eHoKCgvD5559j//79OHfunFhnb2+PwMBAlQdqa9asibCwMIwcORJHjhzBkSNHxLo2bdogMDAQVlZWSmUbNmyIM2fOYNiwYdi2bRu2bdsm1nXt2hU7d+6US8rBeTfYmdrBztQO41uPR2FRIS4/uSxGEfoy+EsUFhXCprqNuBDwsvGCqX7ZYh9zOBwOh8Ph/NcwKi2r1HvAs2fPcOLECSQkJEBLSwsODg7o0qUL9PU1ywJ769YtnDlzBjk5OWjatCl8fHw03uGNiIjApUuXIJVK0apVqzId1A0LC8O1a9egra0NNzc3jaL3yE6PR0ZGfvDRft4VmXmZOB13GqGxoQh5EIK7z+9CYAJaW7YWowi51nOFjkSnolXlcDgczluEf+dy1KHu81GRn51Kv/P/NrCwsFA4XFsWmjRponAuQFPatm2Ltm3blku2U6dO6NSpU7lkOe8OI10j9Hbsjd6OxanKH718hBOxJxDyIASbLm/C0vClqKZdDZ7WnmLW4UY1G3EXIQ6Hw+FwOO+cD8L453DeJQ1MGmBMizEY02IMiqgI15KuIeRBCEJjQzEzdCbypfmoZ1yv2EXI1htdbLvAvJp5RavN4XA4HA7nA6DSR/vhcKoyAhPQsk5LzOkwBydHnUTa7DQEjQjCkCZD8O+TfzH8j+GwWGmBlptbYnbobJyMPYlXha8qWm0Oh8PhvMcIgoChQ4cqlG/YsAE2NjbvRIfbt2+jf//+qF27NgwNDdGiRQscOnRITsfjx4+/E13ehNOnT0MQBOTk5FS0KhpT7p3/VatWaeS2IAgCdHV1YWRkhHr16qFly5YwNjYu77AcTpXGQNsA3Rp2Q7eG3QAATzOfFrsIxYZgR9QOrPhnBfS09PCR1UfwsfWBt503nC2cuYsQh8PhcN4q+/btw7hx4xTCjr8L0tPT0blzZ7i6uiI8PByGhoZYv349hg0bhuTkZIXkq5y3S7mN/5kzZ5ZLTiKR4JNPPsHGjRs1PnArIycnBydOnMC9e/eQn5+PmjVrol27dhrF/4+Li0NoaCjS0tLg6OiI7t27Q0dHswOY0dHR4oFfZ2dneHt7QxA0e2kSERGBixcvQiqVonXr1hof+CUinDlzBleuXIG2tjbc3d35YaL3kDpGdTCy2UiMbDYSRISbz26KLkILwhZgRugM1KpWC952/3MRsjSyrGi1ORwOh1PFady4MSZNmoTr168rDVv+XxIeHo6kpCQsWrQI9vb2AIDFixdjxowZMDIyeqe6fJBQOfnss8/o008/JUNDQ2KMkb29PfXs2ZNGjRpFPXv2pDp16hBjjBwdHWns2LE0YsQI6tixI+nr6xNjjDw8PKioqEjj8f744w8yMzMjxpjC5enpSSkpKUrl8vLyaNKkSSQIgpxMnTp1KDg4WO2Y6enpNGTIEIXxHBwc6PLly2plExMTycvLS0G2TZs2FBMTo1b29u3b1Lx5cwXZbt26UXJyslrZyMhIAkCRkZFq23EqP7kFuXQy9iTNDp1NLTe3JCwEYSHI6Wcn+ir4Kzp+7zhl5WVVtJocDofzwVJVv3MZYxQQEEC1atWi5cuXi+Xr168na2tr8ef09HQaPXo0Va9enczNzcnX15eeP39ORERubm60YMECse2MGTNIR0eHMjIyxDJnZ2favn27wvjh4eHEGKONGzeq1XHnzp00cOBAqlatGtnY2NC+ffvk2ixdupTq1atHRkZG1LlzZ7px44acvL+/Pw0ZMoQMDQ3J2tqaAgIC5ORXrVpFDRs2JD09PXJ0dKTNmzeLdR07dqRp06bR9OnTycjIiObOnUtERMePHydHR0fS09OjTp06UWBgIDHGKDs7W+Ee1H0+KvKzU27jPyMjgzp06EC2trYUEhKiUF9UVEQHDx4kU1NTGjdunGjoP3/+nLp06VLqQy/JpUuXSEtLi/T09Gj27Nl09OhROnbsGC1YsICqV69OjDHq1auXgpxUKqUBAwYQY4xatmxJ/v7+FBISQvPnzycDAwPS1tamY8eOKR0zJyeH3NzciDFGXl5etH//fgoKCqLJkyeTRCIhIyMjlQuAZ8+ekb29PTHGaNCgQXTkyBE6cuQIffLJJ8QYI0tLS4qLi1Mqe+/ePTI3NyfGGPn5+dHx48fpwIED1L17d2KMkZOTE7148ULlXFXVP0Sc0nmW9Yx239hNY/4cQ/VW1yMsBOks1qFO2zvR92e/p8uJl0laJK1oNTkcDueDoap+5zLG6NixY7R161YyNDSkx48fE5G88V9UVEQdOnSgLl260N27d+n27dvUqVMn6tu3LxERLVy4kDw8PMQ+mzVrRgYGBnTw4EEiIkpOTiZBEOjJkydKdejfvz9JJBIaMWIERUVFKdXR0tKStm/fTomJiTRt2jQyMTERjex58+aRlZUVhYeHU2JiIk2dOpVq165NeXl5orytrS39/vvv9PjxY9q4cSNpaWnR9evXiYho3bp1ZGFhQRcuXKCkpCRas2YNMcZE+6xjx45Uo0YN+u677+jRo0f06NEjSkhIEG3RhIQEOnLkCDVq1IgEQfgwjH8/Pz+SSCR08+ZNte3OnTtHjDFatWqVWJacnEza2trk7u6u0VgjR44kQRDkVqcyIiIiSCKRkCAIdP/+fbm69evXE2OMWrRoQbm5uXJ1ISEhJAgCmZmZUWpqqkK/06dPJ8YY9ejRQ+ENxZYtW8Q3ALIPWUkGDhxIjDEaN26cQt3XX38tvq14HalUSm3btiXGGH3//fdK54ExRr6+vgp1MqrqHyJO2SgqKqLbKbdp3cV11DuwNxl+b0hYCDJbbkZD9g+hLZFbKD49vqLV5HA4nPcaTb9zs/OzKfJJ5Fu9svMVjU1NkRn/RESurq40ePBgIpI3/kNDQ0lbW5uSkpJEuQsXLpC2tjbl5+fT+fPnSVdXl169ekVJSUmkr69P06dPpzFjxhARUWBgIDk5OanUQSqV0rp166hBgwbiJu6DBw/kdJwwYYL486NHj4gxRlFRUZSZmUl6enriQoOIqLCwkAwNDenUqVOi/MSJE+XG9PHxEfuMioqia9euiXUZGRnEGKPz588TUbHx36JFCzn5efPmKZR98803H87Of7169ahly5YatW3evDk1atRIrqxVq1ZkZmamkfzNmzfp/PnzlJ6errS+adOmxBijAwcOiGX5+flkZmZGgiDQyZMnlcoNHz6cGGM0Z84cufKkpCTS0tIiiUSisKCQIXsrsGnTJrnyyMhIYoyRkZERvXz5UkGuoKCArK2tiTGm4HZ08OBBcaUqlSru4KalpYluVnfu3FGqFzf+P0zyC/PpbNxZ+vrk19Tut3YkfCcQFoIc1jvQpGOT6PCdw/TyleLnkcPhcDjlR9Pv3MgnkaLr5tu6Ip+U/3u+pPF/+fJlkkgkFBoaKmf8L1++nCQSCVWvXl28jI2NSRAESkxMpIKCAqpevTqdOnWK/P39qXPnznTu3DmqU6cOERW7h3/11Vel6lJYWEh79+4lR0dHMjc3F92KZG47MmTG+dmzZ+nSpUvEGCMTExM5/SQSiejaI3NtKsm0adOoS5cu4s95eXn0xx9/kJ+fH7Vu3ZoYY3TmzBkiIvL09FTYxO3fvz/5+fnJlR05cqTKGf/lPuHx7NkzWFpqdvBQR0cHd+/elSvT09NDZmamRvJOTk5q6/Py8gAAurq6YllwcDBevHgBa2trlSfZx44di927d2P37t1YtmyZWL5v3z5IpVJ07NgRDRs2VCl74cIFBAYGws/PTywPCAgAAAwcOFBpVCMtLS2MGjUKixcvRmBgILp27aogO2rUKKUHiqtXr44BAwZg165dCAwMxHfffadyTjgfFtoSbXhYecDDygOLvRYjLTcNpx6eQmhsKI7dP4YN/26AlqAF13quYn6BNnXbQEvgqT44HA7nv6ZRzUaIHBf51vt8G7Rq1QpjxozB5MmTMW7cOLFcT08P9evXx5kzZxRkatWqBYlEgk6dOuHMmTOIj4+Hj48PXF1dkZubiytXruDUqVP4+eefSx1fIpFgyJAh8PHxQd26dbFv3z6MHz8eAFCjRg2xnSzqHRFBT08PABASEoLatWvL9WdmZqYgI4OIRPvq6tWr6Nu3L5o0aYKhQ4di8uTJcHZ2lmv/etQhIkJRUZFcmVQqLfUeKxvl/uavW7curl69irt378LR0VFlu/j4eFy9ehX16tVTKLewsCjv8CJXrlxBTEwMBEGQe2jh4eEAgC5duqiU7dChA/T09JCQkICEhATUr19fTtbb21ulrKwuIiICUqkUEomkTLKLFy/G+fPn5crDw8PBGCtVdteuXQqyHE5Jahk6EY4AACAASURBVOjXwMAmAzGwyUAAwIMXDxAaG4rQ2FCsvrAa357+Fia6JvCy8YK3rTd87HxgZ2pXwVpzOBzO+4mBtgFa1qm8EfuWLVsGBwcH/Pzzz6LB7OLigsTERABAgwYNABRHXbx165ZoL3l7e2PPnj148OABpkyZAolEgi5dumDt2rV48uQJPD09lY63c+dOJCYmYu7cuWKZoaEhJBKJRtEU7e3toaenhwcPHqBt27Zi+dWrV1G9enXx50uXLmHYsGFyP7dq1QoAsGTJErRt2xYHDhwA8D/7TR0ODg74+++/5coiIiJKlatslDvJ1+DBg1FYWIiuXbuqNESvXr2KHj16oLCwEKNGjRLLg4KCkJiYiPbt25d3eABAcnKy+FB9fHxgZWUl1t28eRNA8YdXFdra2nBwcCgOsfj/7TWVrVevHoyNjZGfn4979+4BKF4RRkdHgzGmVla2SImLi0Nubi6A4jcpqamppY4rky2pL4dTGnamdhjfejwODjmI1FmpuPDZBUxrPw0pOSn4MvhLNFzfELZrbTH+6HgcvHUQablpFa0yh8PhcN4RZmZmWLRoEWJjY8UyT09PtG/fHgMGDEBERAQSExMxdepUDBs2TFwg+Pj4IDw8HIWFhWjevDkAoFu3bvD394ebm5vKkO5mZmZYsmQJtm/fjoSEBMTExGDcuHGQSCTo1atXqfrq6+tj5syZmDJlCv788088efIEW7ZsgaurK9LS/vf9dfz4cQQEBODRo0dYtGgRIiIiMHHiRADFi43Y2FjExMTg3LlzmDNnDgAgOzsbQLFNR0Ry406YMAG3b9/G3LlzER8fj/379+Ovv/7SdJorD+X1F0pPTydHR0dijJEgCOTs7EwjR46kiRMn0siRI6lZs2ZyoThfvXpFREQrV64kXV1dkkgkdOHChXL7Kz18+JAcHByIMUY2NjbiSXUZLVu2JMYYHT58WG0/ffr0IcYY7dixQywzNTUlQRCUnj4viYuLi5x/mMwfTRAEpf7+JZH5zcXHFx/KvH79OjHGqEaNGmrlXrx4QYwxkkgkSuu5zz+nrLx89ZIO3zlMk45NIsf1joSFIOE7gdr91o6+Pvk1nYk7Q3mFigfbORwO50Onqn7nlvT5lyGVSql58+ZkY2MjlqWkpNCIESPIxMSEjI2NycfHRyHQi42NDY0YMUL8OSEhgRhjtGzZMrU6BAYGUuvWrcnExITMzMyoS5cuclEUX9cxMzOTBEEQbS6pVEoLFiygunXrkr6+PjVv3pz+/PNPOfndu3fT4MGDSV9fn+zt7enQoUNifWxsLLVr14709fXJx8eH4uLiyMTEhDZs2EBExT7/M2fOVNBbFupTX1+f+vbtS4cOHapy0X7K7fZjYmKCM2fOYPr06di7dy9u3rypsBttZGSEL7/8EgsWLBATaiUkJKCgoACrVq2Cq6truca+cOEC+vfvj2fPnqFZs2Y4duyYwvkD2XkCQ0NDtX3J6kuePyivbMk+NJHNyspSkNV0TCJCdnY2qlWrprY9h1MaxrrG6OPYB30c+wAAHr18JCYa++XyL1gSvgSGOobwtPYUsw47mjnyrMMcDodTRXndbx0ABEHA1atX5cpq1qwJf39/tX2VfFsAFHtGKOv/dYYNGybnklOajoaGhnL+9YIgYNGiRVi0aJHKPoyNjbFv3z6ldTY2Nrh48aJcWXp6uvj/sLAwpXLdu3dH9+7d5cqqmt//G532q1WrFvz9/fHTTz/h/PnzePjwIbKysmBoaIhGjRrBw8NDwTj18/PDV199JeeiUxa2bt2KCRMmoKCgAIMHD8a2bdtgYGCg0K7kwRB1yOpLGjLllS3ZR3llNZV7fTwO523RwKQBxrYci7Etx6KIinD16VVxMTAjdAbyg/NRz7ieuBDobNMZ5tXMK1ptDofD4XA4GvBWQn3UrFkTffv2VdumqKgIgiCgcePG5R7nhx9+wLx58yAIApYtW4bZs2erbCtLD52VlaW2T1l9yXTSRkZGSEtLK7NsyT6ysrIUTolrIqvpmIwxpYseDudtIjABrSxboZVlK8z1mIvs/GycjT8rHh7eem0rAKBF7RbwsfOBt6033Bu4Q09Lr4I153A4HA6Ho4xyG/+rVq3C9OnTNWqbkpKCoUOH4uTJk+UdDgcOHMC8efPwf+zde1yUVf4H8M8ZLoIIuGGIl+SiQF7AVDSFuCq44qol6YaGZqml6S8UK9c02bVydd111VIolTSBhApBRC4aELLoCAgqal5ByrglF4ERZDi/P9iZZZwLw3VG/L5fL17Jc873ec48Xx87zzPPOUdfXx+RkZF45ZVXVNaXTP109+5dlfUk5QMHDpSJvX//PoqKijB27FiVsYwxaayRkRGMjIxQX1+PoqIipQN3q6qqUFtbCx0dHTz77LMy7a2pqUFNTY3CaUJbt7etmZLWrFkjd/PR1ldshLTFSN8IM2xnYIZty1ee9x7cw6nbp5ByOwVf532NbZnbYKhrCDdLt5YpRYd7w8Hcgb6lIoQQ0qPUefWopyQmJiI4OFhmW3V1tWYag050/t9//33cunULn3/+ucppmYRCIV599VXpdFEdUVdXh3fffReMMYSEhLTZ8QdaZsVJSEhAXl6e0joNDQ34+eefwRiTmSbUwcEBV65cQX5+PmbPnq0wtqioCDU1NTA0NIStrS2Alqfxo0ePhlAoRH5+vtLOf35+PgDAxsZGOlftgAEDYG5ujvLycuTn58PV1VVl7ONz0T5u586dGD9ee6cVI73DYOPBWDR2ERaNXQTOOS6VXZK+IrQxdSPWpazDQKOB8B7uLV1fYJDxIE03mxBCCOkxf/zjH7FhwwaZbbm5udJpR3tah6f6dHFxQUhICGbNmiWdFulxoaGhcHNzwy+//KJ0rld1hISEoLy8HK+88greeOMNtWLc3d0BAKdOnVL6Hn1aWhoaGhpgY2ODQYMGycUmJiYq3b+kbMqUKTJPNSWfU53Yxzv4Hh4e4Jx3KJYQTWOMwXGgI9Y5r0PS60mo/LASKQEpWDx2MS6XXcbiY4sx+F+D4bDPAWuT1uLkjZOoa1T8bwchhBBCuklHpwl6+PAhf+211zhjjL/wwgv8119/lSlbsmSJdKrPtWvXcrFY3OEpiezt7blAIODnz59XO6apqYkPHDiQM8Z4XFycwjpz5szhjDG+adMmme0VFRW8T58+nDGmcLrP5uZmPm7cOM4Y4wcOHJApy8/P54wxbmhoyMvKyuRi6+vr+aBBg7hAIOCnT5+WKZMsET148GDp1Kit/fbbb9JpUm/evKnwMz2p046R3q+0tpRHXIzgS44t4UP+OYQjGFx/iz73/NqTb83YyrN/zebi5o7/O0EIIT2N/p9LVOl1U3326dMHERERsLKywrZt2/Diiy8iPj4e/fv3h5+fH3Jzc9G3b1/s378fr732WodvTqqrq3H9+nXo6empfP/+cTo6OggODsbKlSuxfv16eHp6ykyjGRsbi7i4OJiZmWHt2rUysWZmZggMDMT27dsRGBiI5ORk6Or+71Tt3r0beXl5sLe3l1m8DGhZoGv+/PmIiopCUFAQDh8+LFP+0UcfoaSkBJ6envDy8pIpmzVrFiZPnoyzZ8/ik08+wZYtW6Rlzc3NWLVqFRobG7FkyRIMH06rsZIni7mROfwd/OHv4A/OOa5VXEPK7RQk30rGJz99gr+c/gvMDM0wzWaadLzAMNNhmm42IYS06erVq5puAtFC2vr3gnHextySavjqq6+wcuVK9O3bF/r6+vj9999hbW2NmJgYlavVqqOoqAjW1tbQ0dGRvo6jzAsvvIAdO3ZIf+ec49VXX0VMTAwcHBywbt06mJubIy0tDTt37gTnHDExMfD19ZXb18OHDzF16lRkZWXhpZdewurVq2FkZIT4+HiEhITA2NgYqampCt+rr6iogIuLC27cuIHZs2fjzTffBACEh4cjOjoagwcPRmZmpsLpTm/evAkXFxeUl5djyZIlmDt3LkQiEUJDQ3H69GmMHj0aGRkZMstXtyZ5hywnJ4fe+SdPjEZxI87+chYpt1KQfDsZ2fey0cybYW9mD28bb/gM94GHlQeM+xi3vTNCCOkhmnxvmzw5FPXJNNlf65LOPwAkJSVh3rx5qK2thY+PDyIjI/GHP/yh0/stLCyEjY2NWrOFuLu748cff5TZ1tjYiKCgIOzdu1fm3X8LCwuEhYVh+vTpSvdXU1ODZcuWITo6Wma7ra0tIiIiVF7w9+7dQ0BAgNwiERMnTkRERITKJ/fXrl2Dv7+/dHCvxPTp03H48GHpDEGKUOef9AaVokqcvnNaejNQWFUIXYEuJg+dLF1fwGmwE3QFXTJbMSGEdEh9fT2uXbum6WYQLff888/LTc+u9Z3/9PR0tTrf+fn5iI2NxcaNGxXOAOTm5taxVnaBoqIiJCcno6qqCra2tvD19ZWuOtyWK1euID09HfX19RgzZgx8fHzUnrpQKBTi3LlzEIvFmDBhQrsG6qampiIvLw96enpwdnZW6y8Hdf5Jb8M5x63KW0i51bK2wOk7p1HTUIP+Bv3hZe0l/WbA5g82mm4qIYQQohat7/wLBAIwxtpcfVa601Z1JX9mjD1xyx8/iajzT3q7puYmnP/1vHS8wNlfzkLMxbD5g430RsDL2gv9DRS/GkcIIYRomib7a2p9Zz5sWOcH3dEiP4SQrqAr0MWU56ZgynNT8LH7x6h+WI20wjTpqsOhOaEQMAEmDp4oXXV48tDJ0NPR03TTCSGEEI1Tq/NfWFjYzc0ghJCOMTUwxZzn52DO83MAAEVVRdIbgS/Of4EtP21BP/1+8LTylM4iZG9mTw8kCCGEPJVotFwbCgoKpO/7Ozg4wNvbW+WKxq0JhUKcPXsWYrEYTk5Oar/vzzlHeno6cnNzoaenBxcXF3qFhxA1Wfa3xNLxS7F0/FKIm8W4UHJBOnA4KDkIj5of4TmT56Q3AtNspmFA3wGabjYhhBDSI56Yzr9IJEJISAi2b9+O0tJSLF68GGFhYSpjrKyscPfuXaXl9vb2Sudgra6uxvLly7t0ph8nJydERkZ2eKafQ4cOwdzcXGksIUSWjkAHToOd4DTYCX9x/QvqGuvwU9FP0vECB/MOgoFh3KBx0vECLs+5oI9uH003nRBCCOkWT0Tn/+DBg9iwYQPKysqk29rzlf20adMUblc2lkEkEsHX1xdZWVnw9PTEihUr0K9fPyQkJGDv3r3w9PREamqqwhuA8vJyeHh44ObNm/Dz85MuAhYVFYXw8HC4ubnhP//5j8I5/m/cuAE3NzdUVFRg+fLlmDNnDurr63HgwAEkJibCy8sLGRkZXTKFKiFPIyN9I8ywnYEZtjMAAL/W/IpTt08h5XYKwvLCsC1zGwx1DeFm6Sa9GRhjPoZeESKEENJ79Piawh3g7u7OBQIB9/Hx4cuWLeOMMb5kyZI24ywtLblAIGj38YKCgjhjjPv6+vLm5maZsv3793PGGLezs+MNDQ1ysX5+fpwxxpcvXy5XtnHjRs4Y4x4eHnJlYrGYT5o0iTPG+GeffSZXHhAQwBljfPHixSrbTkuNE9Ix4mYxz/stj/8j8x/c+7A3N/jEgCMY3GKHBQ/4IYAfzjvM79Xc03QzCSGE9AKa7K912SJf3Wnfvn1wd3fHqFGj8PXXX+PNN9/EG2+8gYMHD6qMs7KyQnFxcbumGC0tLcXQoUPBOce1a9cwYsQIuTouLi7IysrCvn378Pbbb0u35+bmwsnJCf369cMvv/wCExMTmbimpibY2tqiqKgIJ0+elFlg7IcffsCrr74Ka2tr3LhxQ25cQVVVFZ577jnU1dXh6tWrsLe3V9h+muqTkK4heiTCmbtnpIOH80ryAAAO5g7S8QJulm7oq9e3jT0RQgghsjTZX1Nv5KqGrVixAqNGjeqRY0VFRUEsFsPV1VVhxx8Ali5dCgCIiIiQ2R4eHg4A8PPzk+v4A4Curq70NSBlsYsWLVI4oLh///6YO3euwlhCSNcz1DOE93BvbPfejgtvX0BJUAnC54ZjwuAJ+LbgW8wIn4E/bPsDph6eim1ntiH3t1w082ZNN5sQQghR6Yno/PekjIwMAIC3t7fSOpIyoVAo861Ce2IzMzPljssY61AsIaT7Dew3EAscFiBsThh+WfMLClYWYPu07TDQNcCWn7ZgwpcTMHDHQPh/74+DFw6iuLpY000mhBBC5HR6wG9ZWRlMTExgYGDQFe3RuMuXLwMAHB0dldYZOnQoTExM8ODBA1y/fh0jR44E5xwFBQVgjKmMdXBwANCydoJIJIKhoSHKyspQUVGhdqykjYQQzWCMYdSzozDq2VF4b/J7aBQ3Iqs4SzqL0NHLR8HB8fyA56UDh90t3WHcx1jTTSeEEPKU6/STfwsLC7VfQ1mzZg10dHQ6e8h24ZxDIBDAxMQE9vb2WLBgAWJjY5XWLy0tBWOszVWNLS0twTlHeXk5AKC2thYikQiA6hWRTU1NYWxsLBNbWloqLevXr5/SWMl+KyoqVLaNENKz9HX04W7ljk+8PoFwmRAVH1Qgel40XIe54vj145gVOQvPbH8GbmFu+OSnT3Dul3MQN6s/FokQQgjpKt0+1ef9+/fxpz/9CSkpKeCcoyfHF7u6uqK0tBQikQgVFRW4ffs2bty4gW+//RZeXl6IjY2FkZGRTMyDBw8AQGUnvHW5pL7kv+rG1tbWysWqe0zOOerq6uTaTgjRDs8YPoNXR72KV0e9Cs45blXeQvKtZKTcTsE//vMPbErdhP4G/THVeqp08LDNH2w03WxCCCFPAbU7//7+/nJzXW/atEn65/Lycnz22WdydT788EOcPXsWTU1NnWxq+33zzTcyv9fV1SEqKgrvv/8+fvzxR7zzzjtydSTtb+smRVIuqd/6c3c0Vt24x49HCNFejDGMeGYERjwzAisnrkRTcxOEvwqRcqtlFqF3E96FmIth8wcb+Nj4wHu4N7ysvdDfoL+mm04IIaQXUrvzf/ToUZnfGWMy01zev38fu3btkqvz4YcfdrKJXcfIyAhLliyBlZUVpk6dioiICHz22Wd47rnnpHWMjY1RWVmJ2tpalfuSlBsbG8v8V1Jmamra7lh1j8kYQ9++NL0gIU8iXYEunJ9zhvNzztjssRnVD6uRVpgmnVI0JCcEAibApCGTWr4VsPHG5KGToaejp+mmE0II6QXa9drPO++8g5CQEOzbtw8rVqyQKZM8ld61axfee+897NixA+vWreu6lnYhT09PvPDCC8jLy8OZM2fg7+8vLbOwsMD9+/dRVFSEsWPHKt3H3bt3wRjDwIEDAbTcWBgZGaG+vh5FRUVKB+5WVVWhtrYWOjo6ePbZZ6XHBICamhrU1NQonCZUckwAMDc3b/MzrlmzRu4GxN/fX+azEkI0z9TAFHOen4M5z88BABRVFUkHDn9x/gts+WkLjPWN4WHlAW8bbwwxGaLhFhNCCGmPjBMZOJNwRmZb/YN6DbWmnZ3/F198ESEhIXj55ZflOv8Ss2fPxnvvvYeZM2dqbecfAOzt7ZGXl4fff/9dZruDgwOuXLmC/Px8zJ49W2FsUVERampqYGhoCFtbWwAtT+NHjx4NoVCI/Px8pZ3//Px8AICNjY10hqQBAwbA3Nwc5eXlyM/Ph6urq8pYyaw/quzcuZMW+SLkCWTZ3xJLxy/F0vFLIW4WI/e3XOm3AkHJQXjU/EjTTSSEENJe7o/9fg9AtiYa0gMDfrVVXV0dAMg9HXd3d8fRo0eRmJgoM6ahtcTERADAlClTZN699/DwgFAoRGJiIgICAlTGPt7B9/DwQFRUFBITE5V2/pXFEkJ6Jx2BDiYOmYiJQyZig+sGPGx6iPpHmntaRAghpGvkX8iH15deGjl2j3X+e3qAakFBAQBg9OjRcmUPHz5EZmYmGGOYMGGCTNm8efMQGBiIrKwsXLx4Ue4JPuccoaGhAIAFCxbIlC1YsADbt29HTEwMysvLpa/1SIhEIhw6dAiMMbnYhQsXIioqCl9//TU+/vhj9OnTR6a8pKQEMTExEAgE9OoOIU8pA10DGOj2jjVVCCHkaWZqoHxsaHfr8hV+U1JSAACnT58GACQlJQEATpw4gdu3b/fYTYCPjw8cHBxw9uxZubJPP/0UlZWVGD9+PEaNGiVTZmZmhsDAQABAYGCg3CxFu3fvRl5eHuzt7bFo0SKZMkdHR8yfPx8PHz5EUFCQ3HE/+ugjlJSUwMPDA15esnd7s2bNwuTJk/Hbb7/hk08+kSlrbm7GqlWr0NjYiMWLF2P48OHqnwhCCCGEEEL+q8ue/Es69cuXLwcArFq1CgDwxhtvAGh5st26XncLDAzEhx9+iJkzZ+L//u//MGnSJDQ1NeHo0aOIiIiArq6u3OxEEsHBwcjIyEBaWhq8vLywevVqGBkZIT4+HiEhITA2NkZ4eDh0deVP3+eff44LFy7gyJEjqKmpwZtvvgkACA8PR3R0NAYPHoyDBw8qPO7hw4fh4uKCTz/9FPfu3cPcuXMhEokQGhqK06dPY/To0fjnP//ZdSeJEEIIIYQ8Vbqs8y+Z7WfatGk4deoUvLy88OOPP2L69OlISkrCjBkzcO3aNRQWFnbqOOrePLz//vuoq6vD1q1b8de//lWmbODAgfjyyy/h7OysMNbAwAAnT57EsmXLEB0djTNn/jdC29bWFhEREUoH0w4YMACpqakICAhAXFwc4uLipGUTJ05EREQELC0tFcaOGDEC6enp8Pf3R1hYGMLCwqRl06dPx+HDh9G/P839TQghhBBCOoZxNZfcFQgECAsLw5IlS/Dbb79h0KBBSE1NhaenJ/bv3w9nZ2eMGjUKd+7cgbW1Na5evYqRI0dK61ZWVmLz5s3YvXs3mpubu/tzSZWVleHUqVMoLi6Grq4u7OzsMG3aNBgaGqoVf+XKFaSnp6O+vh5jxoyBj4+P2jcgQqEQ586dg1gsxoQJE9o1UDc1NRV5eXnQ09ODs7Oz2jP35ObmYsKECcjJyaHZfgghhBBCtJAm+2u9dsCvhLm5udzg2vYYNWqU3LgAdU2aNAmTJk3qUKynpyc8PT07FEsIIYQQQogiXT7gVxk1v2AghBBCCCGEdJN2df6zs1tWI4iPj1daJycnB0DL1xmEEEIIIYQQ7dGuzv8XX3wBAFi2bJncazyS31999VUALbP7aOpVH0IIIYQQQog8td/5nzt3rszvjDGZRaz69u0LNzc3uTraoLCwECkpKaisrIS9vT1mzJgBfX19tWILCgqkA34dHBzg7e0NgUC9eyahUIizZ89CLBbDyclJ7QG/nHOkp6cjNzcXenp6cHFxocG7hBBCCCGk09Tu/H/33Xcqy5977jmkpaXJbf/9998xYcIE6Zz4Hb0hEIlECAkJwfbt21FaWorFixfLTIWpSGNjI4KCgrB3716ZMQcWFhYICwvD9OnTlcZWV1dj+fLliI6Oltkumerz8ZWBW7t37x4CAgKQmpoqs93JyQmRkZEqF+m6du0a/P39kZ+fL7N9+vTpOHToEMzNzZXGEkIIIYQQokq3D/g1MzPD+fPnYWRkBKBjA38PHjwIa2trBAUFobS0FEDbNxHNzc3w9/fHF198gRdeeAHffPMNkpKSsGHDBlRXV2PWrFlISEhQGCsSieDr64vo6Gh4enoiKioKCQkJWLVqFW7dugVPT0/p2IbHlZeXw8PDA6mpqfDz80NsbCxiY2OxcOFCZGdnw83NDUVFRQpjb9y4ATc3N+Tn52P58uU4ceIEoqOj8cc//hFJSUnw8vJCZWVlO84cIYQQQgghrfBOSklJ4ffu3VOrbnZ2Nj9y5Ei7j+Hu7s4FAgH38fHhy5Yt44wxvmTJEpUxe/bs4YwxPm7cOC4SiWTKkpOTuUAg4GZmZryiokIuNigoiDPGuK+vL29ubpYp279/P2eMcTs7O97Q0CAX6+fnxxljfPny5XJlGzdu5Iwx7uHhIVcmFov5pEmTOGOMf/bZZ3LlAQEBnDHGFy9erPJz5+TkcAA8JydHZT1CCCGEEKIZmuyvdbrz3xP27t3LCwoKOOech4WFtdn5b2xs5GZmZlwgEPDTp08rrLNgwQLOGOPr16+X2V5SUsJ1dXW5jo4Ov3HjhsJYZ2dnzhjjISEhMttzcnI4Y4wbGxvz6upqubhHjx5xKysrzhjjiYmJMmXff/89Z4xxGxsbLhaL5WIrKyt5v379OGOMX7t2Telnp84/IYQQQoh202R/rcfm+e+MFStWtGuhrcTERNy/fx+Wlpbw8vJSWGfp0qUAgMjISJntUVFREIvFcHV1xYgRI1TGRkREyGwPDw8HAPj5+cHExEQuTldXF4sWLVIZu2jRIoUDivv37y8ddP14LCGEEEIIIepod+c/JCQEPj4+HTpYQkICvv322w7FtkdGRgYAYNq0aUrrvPTSSzAwMEBxcTGKi4vlYr29vZXGSsqEQiHEYnGHYjMzM+XazBjrUCwhhBBCCCHqUKvzf+7cOfzrX/8C0DIbzalTpzp0sOTkZCxcuBBJSUkdilfX5cuXAQCOjo5K6+jp6cHOzg6cc2l9dWOHDh0KExMTNDY24vr16wBaBjIXFBSAMaYy1sHBAUDL9KMikQgAUFZWhoqKijaPK4lt3V5CCCGEEELU1Wbnv66uDi4uLggJCen0wVJSUiAQCDB58uRO70sVyYxAw4YNU1nP0tISQMsMPa1jGWNqxXLOpbG1tbXSzryqWFNTUxgbG8vEStpramqKfv36KY2V7Fdyo0AIIYQQQkh7tDnPv5GREUaMGIHbt2/LvOIyadIkAC3z+1+4cKHNAyUkJODq1atwc3ODqalpJ5rctgcPHgCAyo5063JJ/c7Ett6HOrG1tbVyseoek3OOuro66fSphBBCCCGEqEOtRb7Gjx+P69evy7wbn52dDQCorKxEYWFhm/s4ePAgAODll1/uQDPbR7IGtnCMaAAAIABJREFUAG9jTQFJees1Azoa23ofHY1VN+7x4xFCCCGEEKIOtd75l6xm++uvv0q3nT9/HkKhEDExMQCAjRs34pVXXoG5uTmEQqF027vvvgsAOHToEIyMjPD666936QdQxNjYGEDLqziqSMol9TsT23ofHY1VN44xhr59+6qsSwghhBBCyOPUfvIP/O/ddOB/NwQSlpaWKCsrg76+PpycnAAAVlZW0ldTGhsbsXLlSgwYMKBLGq6KhYUFAODu3bsq60nKBw4cKBN7//59FBUVYezYsSpjGWPSWCMjIxgZGaG+vh5FRUVKB+5WVVWhtrYWOjo6ePbZZ2XaW1NTg5qaGoXThLZur7m5ucrPBQBr1qyRe73K398f/v7+bcYSQgghhJCuERkZKTe1fHV1tYZao2bnf8yYMQBanvZLnv43NDSgT58+bcZKXlXJzc1V2qntag4ODkhISEBeXp7SOg0NDfj555/BGJPOoiOJvXLlCvLz8zF79myFsUVFRaipqYGhoSFsbW0BtDyNHz16NIRCIfLz85V2/vPz8wEANjY2MDAwAAAMGDAA5ubmKC8vR35+PlxdXVXGtm6vMjt37pTetBFCCCGEEM1Q9PA1NzdX7kF6T1HrtR/JQN9t27bh+++/B9Ay3WVYWJjaB7K2toaZmVkHmth+7u7uAIBTp04pfY8+LS0NDQ0NsLGxwaBBg+RiExMTle5fUjZlyhSZd+89PDzUjn28g+/h4QHOeYdiCSGEEEIIUYdanf/q6mqsXLkSK1euxDvvvAM3Nzfcv38fS5cuxYYNG7q7je3m7e0Nc3NzFBcXIz4+XmGdffv2AYDcndi8efOgr6+PrKwsXLx4US6Oc47Q0FAAwIIFC2TKJL/HxMTITB8qIRKJcOjQITDG5GIXLlwIAPj666/R0NAgF1tSUoKYmBgIBAJ6dYcQQgghhHSIWp1/e3t7BAcH4/PPP8fcuXPh7e2N//znPxg6dCgmTpzY3W1sNx0dHQQHBwMA1q9fLzeQNjY2FnFxcTAzM8PatWtlyszMzBAYGAgACAwMRFNTk0z57t27kZeXB3t7eyxatEimzNHREfPnz8fDhw8RFBQk166PPvoIJSUl8PDwgJeXl0zZrFmzMHnyZPz222/45JNPZMqam5uxatUqNDY2YvHixRg+fLj6J4MQQgghhJD/Uuud//fffx+pqanIzs5GfHw89uzZg48++gjXrl2DoaFhd7exQ95++22kpKQgJiYGLi4uWLduHczNzZGWloadO3dCT08Phw4dQv/+/eVig4ODkZGRgbS0NHh5eWH16tUwMjJCfHw8QkJCYGxsjPDwcOjqyp++zz//HBcuXMCRI0dQU1ODN998EwAQHh6O6OhoDB48WDrt6eMOHz4MFxcXfPrpp7h37x7mzp0LkUiE0NBQnD59GqNHj8Y///nPrj1RhBBCCCHkqaFW5z8zMxMXL16UPkHnnOOnn34CAOmg1bbs3r0bzz77bKdfWVF3fnvGGCIjIxEUFIS9e/di8eLF0jILCwuEhYVh+vTpCmMNDAxw8uRJLFu2DNHR0Thz5oy0zNbWFhEREUoH0w4YMACpqakICAhAXFwc4uLipGUTJ05ERESEdGXhx40YMQLp6enw9/dHWFiYzJiK6dOn4/DhwwpvVgghhBBCCFGHWp1/Z2dnnD17FteuXZNukwxubesVFElnPTAwEE5OTp3u/C9evFimI6+Kvr4+9uzZg3Xr1iE5ORlVVVWwtbWFr68v9PX1VcaamJjg6NGj2Lx5M9LT01FfX48xY8bAx8enzRuQwYMH4/Tp0xAKhTh37hzEYjEmTJig1kDd559/HhcuXEBqairy8vKgp6cHZ2dnmrmHEEIIIYR0mlqd/xdffBEAcOfOHek2Nzc3AMCQIUNw69YtZGdn4/bt26ivr0dUVBSAlqlBa2pqALTcJGRnZ+PWrVs9/s66paUlli1b1qHYUaNGYdSoUR2KnTRpEiZNmtShWE9PT3h6enYolhBCCCGEEEXUGvArWezqzp070qfeaWlpSEtLQ3h4OAAgNDQUp06dwv379/Haa69Jt0kWNQgICADQMpsNIYQQQgghpOep9eR/xIgRMDQ0RExMjHTe/IqKCulqvZJvAZRhjCEgIADBwcH47rvvsGXLlk42mxBCCCGEENJeanX+Hzx4AJFIhHPnzkm3DR48GP7+/vj3v/+NtLQ0tQ5mZ2eH69ev4/r167Czs+tQg3taYWEhUlJSUFlZCXt7e8yYMaPN8QISBQUF0vECDg4O8Pb2hkCg1pctEAqFOHv2LMRiMZycnGhhL0IIIYQQ0mlqdf6bmpqwf/9+AMDDhw9RXFyMw4cP45tvvsH58+eRlZUFU1PTNvfj4eGBu3fv4tatWz3W+ffw8JDOTKRInz59IBKJ5LY3NjZKZwpqvUpwWzMFAS2Loi1fvhzR0dEy2yUzBalazvnevXsICAhAamqqzHYnJydERkbSHP+EEEIIIaTD1Or8m5mZSeerl9i8eTM2b96MixcvwsTERK2DrVq1Cn/9618xcODA9re0k1566SWF05Iqeorf3NwMf39/xMTEYNy4cVi7di3Mzc2Rnp6OnTt3YtasWTh27Bh8fX3lYkUiEXx9fZGVlQVPT0+sWLEC/fr1Q0JCAvbu3QtPT0+kpqYqvAEoLy+Hh4cHbt68CT8/P+kiYlFRUQgPD4ebmxv+85//KJ0qlBBCCCGEEJV4JzU1NXV2F93K3d2dM8Z4UVGR2jF79uzhjDE+btw4LhKJZMqSk5O5QCDgZmZmvKKiQi42KCiIM8a4r68vb25ulinbv38/Z4xxOzs73tDQIBfr5+fHGWN8+fLlcmUbN27kjDHu4eGhsu05OTkcAM/JyVHnoxJCCCGEkB6myf6aei+gq6Cjo9P5OxAt8ujRIwQHB4Mxhh07dsh9W+Dt7Y3XXnsN9+/fx44dO2TKSktLsWvXLggEAuzatUtuPYC33noLU6ZMwY0bN2QW8AKA3Nxc/PDDD+jXrx/+8Y9/yLVr8+bNsLS0RHp6OpKSkrro0xJCCCGEkKdJpzv/vU1iYiLu378PS0tLeHl5KayzdOlSAJBOYyoRFRUFsVgMV1dXjBgxQmVsRESEzHbJlKl+fn4KX6PS1dWVvgb0eCwhhBBCCCHqoM7/YzIyMgAA06ZNU1pHMn6guLgYxcXFcrHe3t5KYyVlQqEQYrG4Q7GZmZltfQxCCCGEEELkPDWdf95qxh5VLl++DABwdHRUWkdPTw92dnbgnEvrqxs7dOhQmJiYoLGxEdevX5e2raCgAIwxlbEODg4AWqYfVTRDESGEEEIIIao8NZ1/GxsbGBsbw8bGBnPnzsWRI0fQ1NQkV6+0tBQAMGzYMJX7k8y4U15eLhPLGFMrlnMuja2trZV25lXFmpqawtjYWCaWEEIIIYQQdfX6zr+TkxOmTZsGFxcXWFlZoaSkBMeOHcOiRYswceJElJSUyNR/8OABAKBfv34q9yspl9TvTGzrfXTkuIQQQgghhKhDrXn+n2SPz8jT2NiI+Ph4rF27Fvn5+Zg3b570fXsA0hl62npNSFLeekafjsa23kdHjksIIYQQQog6ev2T/8fp6+tj7ty5SEpKgp6eHjIzM3HmzBlpubGxMYCWV3FUkZRL6ncmtvU+OnJcQgghhBBC1NHrn/wrY29vj5kzZ+LYsWPIyMjASy+9BACwsLAAANy9e1dlvKS89WrFFhYWuH//PoqKijB27FiVsYwxaayRkRGMjIxQX1+PoqIipYN+q6qqUFtbCx0dHTz77LMq27dmzRqYmprKbPP394e/v7/KOEIIIYQQ0nUiIyPlpoevrq7WUGue4s4/0HIDAAC///67dJuDgwMSEhKQl5enNK6hoQE///wzGGPSGXgksVeuXEF+fj5mz56tMLaoqAg1NTUwNDSEra0tgJZXeEaPHg2hUIj8/Hylnf/8/HwALYOXH1987HE7d+7E+PHjVdYhhBBCCCHdS9HD19zcXEyYMEEj7XnqXvtpra6uDgBknpC7u7sDAE6dOqX0/fu0tDQ0NDTAxsYGgwYNkotNTExUekxJ2ZQpU2Te2/fw8FA71tXVVWkdQgghhBBClOnVnf/r16/j8uXLePTokcLy06dPA4DMnZe3tzfMzc1RXFyM+Ph4hXH79u0DALm7uHnz5kFfXx9ZWVm4ePGiXBznHKGhoQCABQsWyJRJfo+JiVE4jadIJMKhQ4fAGJOLJYQQQgghRB29uvO/ZMkSODo64vvvv5crO3DgAK5evYpBgwbBx8dHul1HRwfBwcEAgPXr18sNwI2NjUVcXBzMzMywdu1amTIzMzMEBgYCAAIDA+XWEdi9ezfy8vJgb2+PRYsWyZQ5Ojpi/vz5ePjwIYKCguTa+9FHH6GkpAQeHh7w8vJS/yQQQgghhBDyX736nf/AwEBkZWXhrbfeQnZ2Ntzd3aGrq4sTJ04gJCQEjDHs3LkTurqyp+Htt99GSkoKYmJi4OLignXr1sHc3BxpaWnYuXMn9PT0cOjQIfTv31/umMHBwcjIyEBaWhq8vLywevVqGBkZIT4+HiEhITA2NkZ4eLjcMQHg888/x4ULF3DkyBHU1NTgzTffBACEh4cjOjoagwcPxsGDB7vnZBFCCCGEkN6P93KhoaG8X79+nDEm82Nqasq/+uorpXENDQ181apVXCAQyMQNGjSIJyYmqjxmdXU1nz9/vtwx7ezseHZ2tsrYX3/9lXt5ecnFTpo0id+8ebPNz5uTk8MB8JycnDbrEkIIIYSQnqfJ/hrjvI1VpXqBmpoapKSk4Pbt2wAAa2treHt7y02FqUhRURGSk5NRVVUFW1tb+Pr6Ql9fX63jXrlyBenp6aivr8eYMWPg4+Oj9uJcQqEQ586dg1gsxoQJE9Qe5CsZPZ6Tk0Oz/RBCCCGEaCFN9teeis7/04Q6/4QQQggh2k2T/bVePeCXEEIIIYQQ8j/U+SeEEEIIIeQpQZ1/QgghhBBCnhK9eqrPJ11ZWRkSEhJQWloKKysrzJw5E/369dN0swghhBBCyBOKOv9aiHOOTz/9FH/7299kFgozMTHBnj17EBAQoMHWEUIIIYSQJxW99qOF1q5di48//hiWlpb48ssvkZKSgq1bt0JHRweLFy/Gl19+qekmEkIIIYSQJxA9+dcyJ06cwK5duzB06FBkZWVhwIABAICpU6di5syZmDRpEv7v//4PHh4esLOz03BrCSGEEELIk4Se/GuZv/zlLwCA4OBgacdfYsyYMVizZg0aGxuxefNmTTSPEEIIIYQ8wajzr0UuXbqEy5cvw8jICP7+/grrLF26FABw/Phx1NXV9WTzCCGEEELIE446/1okIyMDADBlyhQYGhoqrGNtbQ1ra2vU19cjNze3J5tHukBkZKSmm0CUoNxoN8qP9qLcaC/KDVGEOv9a5PLlywAAR0dHlfUcHBwAAAUFBUrrJCQAP/wAJCYC6emAUAhcvgzcugX89htQVQU0NgKcd137SdvoH2LtRbnRbpQf7UW50V6UG6IIDfjVIqWlpQCAYcOGqaxnaWkJoGUdAGU2bVLvmAIBYGjY8tO3b8uP5M+t/6vOtse3P/67vj7AmHrtIoQQQgghXY86/1rkwYMHANDmQl6Sckl9RTIzAXt7oL4eEIlaflT9WfIjEgEPHwJ1df8rr6iQ/V1ST/JfdTGm/g2DqpsOZWW6T8Df5vp6oLBQ060gilButBvlR3tRbrQX5UZ73bunuWM/Ad2lpwf772Nx3sa7OJJypuIxuoEBYGbW8tOdOAcaGmRvJurqWm4gWt9QKLrZeLyO5Eaj9X4kf5bE9YbXlKytNd0CogzlRrtRfrQX5UZ7UW7I46jzr0WMjY0BALW1tSrrScol9VsT/fdR/NWrV7u4de2jpweYmrb8dBXOW8YpNDS03DhI/iv5c3Nz1x2ru+zdW42VK2mgtjai3Gg3yo/2otxoL8qN9rp79yq2bv1fv60nUedfi1hYWAAA7t69q7KepHzgwIFyZYX//X7v9ddf79rGkS6zYsUETTeBKEG50W6UH+1FudFelBvtVlhYCBcXlx49JnX+tYhkFp+8vDyV9fLz82XqtzZ9+nQcOXIEVlZWSqcLJYQQQgghmiMSiVBYWIjp06f3+LEZb+sFc9Jjrl27hlGjRsHQ0BAlJSUKX+v5+eefMXLkSPTr1w9lZWUwMDDQQEsJIYQQQsiTiOb51yLPP/88xo0bB5FIhK+//lphnX379gEAXn75Zer4E0IIIYSQdqEn/1omMTERvr6+MDc3x4ULFzBo0CBpWXZ2NpydnaGjo4NLly5hxIgRGmwpIYQQQgh50lDnXwutWbMGu3btgqWlJf7yl7/A2toa58+fx/bt2/HgwQPs27cPy5cvl4srKytDQkICSktLYWVlhZkzZ7a5ZgDRrMLCQqSkpKCyshL29vaYMWMG9PX1Nd2sp0Jnzn1BQQHS09NRX18PBwcHeHt7QyCgL1K1BeVHPfX19Th16hSuX7+OxsZGDBgwAC+++CLGjh3bZixdP92vM/npDMpP24qKipCWloZ79+5BR0cHw4YNg6enp8KJWB6nFdcOJ1ppy5YtXF9fnzPGpD+mpqb88OHDcnWbm5v5li1buJ6enlr1Sddxd3eXOeeP/xgYGCiMa2ho4KtWreICgUCm/qBBg3hiYmIPf4onV319Pf/Xv/7FLSwsOGOMv/HGG23GdObcV1VV8fnz58vl2c7OjmdnZ3fVx+o1OpIfS0tLldfU888/rzSW8qO+H374gZuZmSk8xx4eHry8vFxhHF0/PaOj+aHrp3s1NTXxFStWyP39Z4xxfX19vnXrVqWx2nTtUOdfi5WWlvKwsDC+bds2/u233/La2lqF9QIDAzljjI8YMYJ/9dVX/NSpU/zvf/87f+aZZzhjjIeGhvZwy58eks6/q6sr9/b2lvuZOXOmXIxYLOZz587ljDE+fvx4fuTIEZ6cnMw/+ugj3rdvX66np8dPnDihgU/zZDlw4AAfOHCgzD+ES5YsURnTmXNfX1/PnZ2dOWOMe3l58ejoaH7y5Em+evVqrqOjw42Njel/kK10JD+c/6/zouh68vb25m+99ZbCOMqP+s6dO8d1dXW5gYEB//DDD3l8fDw/ceIE37RpE+/fvz9njPE//elPcnF0/fSMjuaHc7p+utvmzZs5Y4wPGTKE/+tf/+IpKSn82LFjfOXKlVxHR4czxnh8fLxcnLZdO9T5f8LFx8dzxhh/7rnn5J4EXLp0iRsaGvI+ffrwn3/+WUMt7N0knf+ioiK1Y/bs2cMZY3zcuHFcJBLJlCUnJ3OBQMDNzMx4RUVFVze3V3F3d+cCgYD7+PjwZcuWqdW57My5DwoK4owx7uvry5ubm2XK9u/fL30K09DQ0PkP1wt0JD+ct3ReBAJBu49H+VFfQEAAFwgEfNu2bXJlQqGQ6+jocIFAwG/cuCFTRtdPz+hofjin66e7DRkyhAsEAn727Fm5shUrVkjP4eO07dqhzv8TzsHBgTPG+IEDBxSWb9iwgTPG+GuvvdbDLXs6tLfz39jYyM3MzLhAIOCnT59WWGfBggWcMcbXr1/flU3tdfbu3csLCgo455yHhYW12bnszLkvKSnhurq6XEdHR+H/cDnn0iczISEhHfxEvUt78yPRkc4L5ad9Ll++zDMzM3lVVZXC8jFjxnDGGP/uu++k2+j66TkdyY8EXT/dKyEhgZ84cUKuE84558ePH+eMMT5y5EiZ7dp47dAIjifYpUuXcPnyZRgZGcHf319hnaVLlwIAjh8/jrq6up5sHlEgMTER9+/fh6WlJby8vBTWkeQsMjKyJ5v2xFmxYgVGjRqldv3OnPuoqCiIxWK4uroqnWVLEhsREaF2m3qz9uanMyg/7TN69Gg4OzvD1NRUYXlDQwMAoE+fPtJtdP30nI7kpzMoP+qbMWMGfH19wRiTK6usrAQADB06VGa7Nl471Pl/gmVkZAAApkyZonQ1X2tra1hbW6O+vh65ubk92TyigCRn06ZNU1rnpZdegoGBAYqLi1FcXNxTTev1OnPuJbHe3t5KYyVlQqEQYrG4K5pM1ET56Tq5ubm4efMmBAKBzCrydP1oB2X56QzKT+c9evQIe/bsAQC5h7HaeO1Q5/8JdvnyZQCAo6OjynqSfyAKCgq6vU1PK67mjLnq5ExPTw92dnbgnFPOulB7z72kvrqxQ4cOhYmJCRobG3H9+vUuajVRB+Wna5SWlko7Lj4+PrC0tJSW0fWjeary0xmUn84pLi7Gyy+/jOzsbCxevBhLliyRKdfGa4c6/0+w0tJSAMCwYcNU1pP8A1FWVtbtbXpa2djYwNjYGDY2Npg7dy6OHDmCpqYmuXqUM81p77kvLy+XiWWMqRXLOZeJJe3HOYdAIICJiQns7e2xYMECxMbGKq1P+em8wsJCuLm54caNG7CyssJXX30lU07Xj2a1lZ/W6Prpfh988AGmTp0KR0dHWFlZoaCgAPv370dYWJhcXW28dnTVqkW00oMHDwCgzYW8JOWS+qTrODk5QV9fHw8fPkRlZSVu3bqFY8eO4dixY/jnP/+JkydPwsLCQlqfcqY5nTn3lLee4+rqitLSUohEIlRUVOD27du4ceMGvv32W3h5eSE2NhZGRkYyMZSfzsnKysIrr7yCsrIyjB07FidOnMDgwYNl6tD1oznq5EeCrp+eceHCBaSlpUl///XXX/H999/D0dERTk5OMnW18dqhJ/9PMMmAk7ZeOZGUKxqgQjpnx44dSE5Oxk8//YRLly6hqqoK3333HYYNG4b8/HzMmzdPpj7lTHM6c+4pbz3nm2++QXJyMjIyMnD16lXcv38fBw4cwDPPPIMff/wR77zzjlwM5afjDh48CA8PD5SVlWHevHnIzMxU2LGk60cz1M2PBF0/PSMlJQVisRiVlZX48ccf8fLLL+PkyZNwdnZGfHy8TF1tvHaems5/fX094uLisGPHDnz22Wf48ssvkZ+fr1ZsYWEhvvrqK2zfvh2xsbFobGxU+7gFBQXYu3cvduzYgaSkJDQ3N6sdKxQKsXv3buzcuVM66KM1Y2NjAEBtba3K/UjKJfVJ99HX18fcuXORlJQEPT09ZGZm4syZM9JyypnmdObcU940x8jICEuWLEF0dDSAlhktHh8IT/npmL///e9YunQpxGIxtm7diqNHj6Jv374K69L10/Pakx9l6PrpXiYmJnB3d0d0dDTWrFmDpqYmvPfeezKv/WrjtfNUdP5jYmIwbNgwvPzyy/jggw+wceNGvPPOOxg3bhw8PT1RUVGhMK6xsRGrV6/G8OHD8fbbb2P9+vV45ZVXYGVlhaSkJJXHrK6uxp///Gc4ODhg1apV+OCDDzBjxgyMHDkSOTk5KmPv3buHqVOnYvLkyQgMDERQUBDc3d0xadIk3Lp1S1pP8jrJ3bt3Ve5PUj5w4ECV9UjXsbe3x8yZMwFA5saNcqY5nTn3FhYW4JyjqKiozVjGGOWtG3h6euKFF14A51zmhhqg/HTEd999hw0bNkBfXx/R0dH48MMPVdan66dntTc/baHrp/t98skneOaZZ3Dnzh389NNP0u3aeO30+s6/UCjE/PnzUVdXhw8++ADHjx9HfHw8Nm7cCFNTU6Snp8uNzAaA5uZm+Pv744svvsALL7yAb775BklJSdiwYQOqq6sxa9YsJCQkKDymSCSCr68voqOj4enpiaioKCQkJGDVqlW4desWPD09ld4AlJeXw8PDA6mpqfDz80NsbCxiY2OxcOFCZGdnw83NTfqXQDKLT15enspzIPmGo6umBSPqsbe3BwD8/vvv0m3q5KyhoQE///wzGGOUsy7UmXMv+bOqbwuLiopQU1MDAwMD2NradlGrSWuKrimA8tNedXV1ePfdd8EYQ0hICF555ZU2Y+j66TkdyY866PrpXoaGhnB1dQUA3Lx5U7pdK68dtZcDe0I9acuY+/n5ccYYX758uVzZxo0bOWOMe3h4cM45v3r1KmeM8b59+/KamhqFn//atWucMcaNjY3lPgfpXqtXr+aMMf63v/1Nuu3kyZOcMcaHDRumcIVAzjlPTEzkjDE+YsSInmrqE0+dFWQ7c+737dvHGWPc2dlZ6f5DQkI4Y4xPnTq1Yx+iF2vPCr+qzJo1izPG+OHDh2W2U37aZ8eOHZwxxv38/NSOoeun53QkP+qg66f7zZkzhzPG+P79+6XbtPHa6fWd/ydpGfOcnBxpR726ulou7tGjR9zKyoozxnhiYiLnnPPx48dzxhjfvXu3wmO99957nDHGAwICFJaTjvv555/5pUuXeGNjo8LyUaNGccYYP3HihHRbU1MTHzhwIGeM8bi4OIVxkn88Nm3a1C3t7o3U6Vx25txXVFTwPn36cMYYz8/Pl4trbm7m48aN44wxfuDAgc59mF5I3c7/5cuX+eXLlxWWiUQi/swzz3CBQMALCgpkyig/7WNvb88FAgE/f/682jF0/fScjuSHc7p+utvDhw/58ePHeUJCgsLy5uZmPnz4cM4Y4+fOnZNu18Zrp9d3/ttia2vLGWP8+PHj0m1xcXGcMcatra2Vxv3444+cMcYtLS1ltu/evVvm6bwiBw8e5Iwx7ubmJrN97dq1nDHG33jjDaWxH3/8MWeM8UWLFnHO/3dHOXDgQH7v3j2ZuufPn+d6enrcwMBA6Y0I6TjJTVxkZKRcmeQbnsGDB/NHjx7JlEnu5EeNGsUfPHggU3bs2DHOGOMDBgzglZWV3dr+3kTdzmVnzv2HH37IGWPc09NTLqf//ve/OWOMP//883JlRP38DB48mDPGeFZWllyZ5JtPJycnhbGUH/VUVVVxxhjX19dX+uBCGbp+ul9n8kPXT/eqq6vjenp6nDHGr127Jld+4MABzhjj9vb2cmXadu081Z1/yZN2HR0dXlhYKN3+/vvvc8YYX7ZsmdLYxsZGbmhuogBjAAAgAElEQVRoyAUCAb979650+7x58zhjjH/66adKY4uLizljjBsYGPCmpibp9okTJ3LGGA8PD1cam5GRwRljfPjw4dJtgYGBnDHGrayseGhoKE9OTuaffvopNzU15QKBgIeGhrZ5Lkj7RUVFSV+7CgoK4nFxcTwhIYG/++670tfJjh49KhfX3NzM586dyxlj3NHRkR8+fJgnJiby9evX8z59+nB9fX2ZbwtI29TtXHbm3ItEIukNn6urK4+KiuInTpzgK1as4IwxbmJiwnNycrrj4z3x1M3P9u3bOWOMP/PMMzw4OJgnJCTwuLg4vnDhQs4Y43p6ejwzM1NhLOVHPYWFhZwxxnV1dfnUqVNV/gQFBcnE0vXT/TqTH7p+ut+iRYukD/a2bt3K4+Pj+cmTJ/l7773HdXV1ub6+Pk9LS5OL07Zr56nt/JeUlHA7OzvOGOMzZsyQKZsxYwZnjPE9e/ao3MfYsWM5Y0zmK6CRI0fKfZOgiKRjfuXKFc55y1+Mvn37coFAwC9duqQ0TvJUQEdHh9fX10u3b9myhevr63PGmPTH1NRU7t0+0rVCQ0N5v379ZM675Nx/9dVXSuMaGhr4qlWruEAgkIkbNGiQ9JUuor6vv/5arc4l550799XV1Xz+/Ply+bazs+PZ2dld9XF6nfbkZ/PmzXL/ljHGuIWFhdKvzCUoP227c+cOZ4xxgUDQ5o+np6dcPF0/3auz+aHrp3vV1tZKX9F5/Mfa2pqfOnVKaaw2XTuM8zZWDuiFCgsLMX36dOky2RkZGRgyZIi0fMKECbhw4QKOHTuG2bNnK93PnDlzcPz4cXz99ddYtGgRAMDMzAxVVVW4cOECHB0dlcaOHTsWly5dQlpaGtzc3PDgwQOYmpqCMYbKykqYmJgojTU1NUVtbS3u3Lkjs+RzWVkZEhISUFZWBktLS/zpT3+SW8mPdL2amhqkpKTg9u3bAABra2t4e3vD1NS0zdiioiIkJyejqqoKtra28PX1hb6+fnc3maBz5/7KlStIT09HfX09xowZAx8fH1r4pguVlZXh1KlTKC4uhq6uLuzs7DBt2jQYGhqqFU/56X50/Wgvun6635UrV5CZmYmKigr07dsXjo6OcHNzg46OTpux2nDtPHWdf3WWybazs8PNmzdx6tQpeHl5Kd3XwoULERkZiT179uDdd98F0LLIk1gsxo0bN2BjY6M01sXFBVlZWTh+/DhmzpyJe/fuYejQoWCM4dGjRxAIlM/COmTIEJSUlODixYsYPXp0O88AIYQQQgh5WvX6ef5b0+ZlzFvvoyPHJYQQQgghpC26mm5AT/n73/+ODRs2QCAQYOvWrSpXy+vsUsyVlZXtjm29j9raWpWvjKhaxrmiogJJSUmwsrJS+ys+QgghhBDSc0QikfQ19AEDBvTosZ+Kzn/rZbIjIyPbXC2vs0sx379/H0VFRRg7dqzKWNZqKWYjIyMYGRmhvr4eRUVFSscLVFVVoba2Fjo6Onj22WflypOSkvD666+rbDchhBBCCNG8I0eOYOHChT16zF7f+e/oMuYJCQkdXor5ypUryM/PVzpYWLIUs6GhoXQpZsYYRo8eDaFQiPz8fKWdf8kSzzY2NjAwMJArt7KyAtDyl2nkyJFtflbSs+bMmYPY2FhNN4MoQLnRbpQf7UW50V6UG+119epVvP7669J+W0/q9Z3/kJAQlJeXY+7cuXjjjTfUinF3d8e2bdtw6tQpcM4VvluflpaGhoYGDB8+HIMGDZKJPXr0KBITE7Fp0yaF+09MTAQATJkyRWbfHh4eEAqFSExMREBAgMpYV1dXheWSV31GjhyJ8ePHq/FpSU/q378/5UVLUW60G+VHe1FutBflRvtp4hXtXj/g96uvvgJjDOvXr1c7xtvbG+bm5iguLkZ8fLzCOvv27QMA+Pv7y2yfN28e9PX1kZWVhYsXL8rFcc4RGhoKAFiwYIFMmeT3mJgYlJeXy8WKRCIcOnQIjDG5WPJksLa21nQTiBKUG+1G+dFelBvtRbkhivTqzn91dTWuX78OXV1dle/fP05HRwfBwcEAgPXr18sN3o2NjUVcXBzMzMywdu1amTIzMzMEBgYCAAIDA9HU1CRTvnv3buTl5cHe3l66NoCEo6Mj5s+fj4cPHyIoKEiuXR999BFKSkrg4eGhcgpSQgghhBBCFOnVr/1UVVUBAJqbmzFjxgyVdV944QXs2LFD+vvbb7+NlJQUxMTEwMXFBevWrYO5uTnS0tKwc+dO6Onp4dChQ+jfv7/cvoKDg5GRkYG0tDR4eXlh9erVMDIyQnx8PEJCQmBsbIzw8HDo6sqf/s8//xwXLlzAkSNHUFNTgzfffBMAEB4ejujoaAwePBgHDx7szGkhhBBCCCFPqV7d+ZfMh9/c3IzU1FSVdZubm2V+Z4whMjISQUFB2Lt3LxYvXiwts7CwQFhYGKZPn65wXwYGBjh58iSWLVuG6OhonDlzRlpma2uLiIgIpe/gDRgwAKmpqQgICEBcXBzi4uKkZRMnTkRERAQsLS1Vf3Citdzd3TXdBKIE5Ua7UX60F+VGe1FuiCJP3Qq/HaGppZiFQiHOnTsHsViMCRMmKB3k21pubi4mTJiAnJwcGuSjhWbPni1zQ0e0B+VGu1F+tBflRntRbrSXJvtr1PnvZajzr93u3r2LYcOGaboZRAHKjXaj/Ggvyo32otxoL03213r1gF9CtA39I6y9KDfajfKjvSg32otyQxShzj8hhBBCCCFPCer8E0IIIYQQ8pSgzj8hPWjbtm2abgJRgnKj3Sg/2otyo70oN0QR6vwT0oPq6+s13QSiBOVGu1F+tBflRntRbogiNNtPL0Oz/RBCCCGEaDea7YcQQgghhBDS7Xr1Cr+aVlBQIF3gy8HBAd7e3hAI1LvfEgqFOHv2LMRiMZycnNRa4IsQQgghhBBVnoon/yKRCDt37sSgQYMgEAiwZMmSNmOsrKwgEAiU/owcOVJpbHV1Nf785z/DwcEBq1atwgcffIAZM2Zg5MiRyMnJUXnce/fuYerUqZg8eTICAwMRFBQEd3d3TJo0Cbdu3Wr3ZyfapaKiQtNNIEpQbrQb5Ud7UW60F+WGKNLrO/8HDx6EtbU1goKCUFpaCgBgjKkdP23aNIU/Li4uCuuLRCL4+voiOjoanp6eiIqKQkJCAlatWoVbt27B09NT6Q1AeXk5PDw8kJqaCj8/P8TGxiI2NhYLFy5EdnY23NzcUFRU1P6TQLTGm2++qekmECUoN9qN8qO9KDfai3JDFOn1r/0cPnwY5eXl8Pb2hqWlJfbv3692LGMMycnJ7Trepk2bkJWVhRkzZiA+Pl56o/HHP/4RY8eOxbJly7BgwQJcunQJ+vr6MrErVqzAzZs3sWzZMoSGhkq3z5o1C1ZWVvj000/xxhtvIDU1tV1tItojODhY000gSlButBvlR3tRbrQX5YYo0uuf/P/5z3/GpUuXkJSUBGdn5249VmlpKXbt2gWBQIBdu3bJfcPw1ltvYcqUKbhx4wbCwsJkynJzc/HDDz+gX79++Mc//iG3782bN8PS0hLp6elISkrq1s/xJHr1VeC11wBtfzOKZmDSXpQb7Ub50V6UG+1FuSGK9PrO/4oVKzBq1KgeOVZUVBTEYjFcXV0xYsQIhXWWLl0KAIiIiJDZHh4eDgDw8/ODiYmJXJyuri4WLVqkMPZpd/Mm8P33wNGjwMiRwIoVQGGhpltFCCGEEKJ9en3nvydlZGQAALy9vZXWkZQJhUKIxeIOxWZmZna6rb3Jd98BffsC5eXAJ5+03AiMGNHyTUBWFkArWRBCCCGEtKDOfxe6fPkyAMDR0VFpnaFDh8LExASNjY24fv06AIBzjoKCAjDGVMY6ODgAAAoLCyESibqw5U+2o0eBmTOBAQOADz4A7tzB/7N35mFVVWsD/20mEQRlEMEJcADECXBERRQFza5kmmNpkWWZWprabHq7eh3qVqap3Stpg+LwXadrziimSKICqSg5ojghCg6AMhzW98eOg8SocjgHWL/n2Q+w91p7v4v3DO9a6x348ks4dgy6dYMOHeDbbyEtTd+SQmhoqL5FkJSA1I1hI/VjuEjdGC5SN5LikMZ/KQghMDIywtraGnd3d0aNGsXmzZtLbJ+cnIyiKDRt2rTU+zo7OyOEICUlBYD09HStMV9a37p162JlZVWob03njz8gLk5d5c/H0hLeflu9tnUrODvDO++Ak5MaG7BhAzx8qB95Y2Ji9PNgSZlI3Rg2Uj+Gi9SN4SJ1IymOSjH+09LSip19Ll++nD59+tCzZ0/mzZvHQ31ZZMXg5+enTenZqFEjEhMTWbNmDc8//zx9+/YlIyOjSJ/79+8DUKdOnVLvnX89v33+zyfpW9NZuxasrOCZZ4peMzJSdwQ2boQrV2DOHHVXYMgQcHCAF19UJwKZmZUn77ffflt5D5M8FlI3ho3Uj+EidWO4SN1IikPnxn9iYiLt2rVj0qRJhc7Pnj2bcePGsW/fPg4ePMhHH31Ez549yaxMS6wUfvrpJ3bt2sWBAwc4ffo0qamphIaGYmtry969e3nzzTeL9MnP7iPKcDLPv57f/tGsQI/btyYjBKxZA4MGQe3apbd1dISpU1VXoNOnYfp0iI9XJwL29vDccxAaCn+WgpBIJBKJRCKplujc+P/www+5evUqQUFB2nPp6eksWLAAgI8++ohVq1bRpEkTjh49yj//+U9di/REWFpaEhISwvr16wE1405SUlKhNlZWVoA6vtLIv57fPv/nk/StycTFqYb8oy4/5cHDA2bMUPufPQuzZkFqKowbp7oGde0Kn32mThTy8nQiukQikUgkEole0Lnxv3//fuzt7bVGM8DWrVtJT0/H19eX2bNnM3LkSDZu3Aig/Wmo9O7dGy8vL4QQHDx4sNA1R0dHhBBlVuG9fPkyiqLQoEEDQJ1YWFpaApTa986dO6Snp2NkZET9+vVLfcaAAQMIDg4udPj6+rJp06ZC7Xbt2kVwcHCR/hMmTCjiqhUTE0NwcHCRcuEzZ85k/vz5RcYYHBxMQkJCofOLFi1i+vTphc5lZmYSHBxc5P8ZFhZGSEhIEdmGDx/Opk2b+Pln1X0nKOjJx9GihRokfOAATJkykyFD5tOkCfzrX9CxIzRocJmmTYP58ssEbt/WzTgepSrrQ45DjkOOQ45DjkOOQ46j6DjCwsK0tpirqyteXl5MmTKlyH0qDaFjTExMhJ+fX6FzY8aMEYqiiNDQ0ELnPT09Re3atXUmy4oVK4SiKCIkJOSp7jNixAihKIpYtGhRsec/++yzEvsmJiYKRVGEhYWFyMvL057v0qWLUBRF/PjjjyX2jYiIEIqiCDc3txLbHDt2TADi2LFjjzGiqkdOjhCOjkK8845u7p+dLUREhBDvvSdEmzZCgBCKIkTnzkJ8+qkQkZGqDI/LwIEDK15YSYUgdWPYSP0YLlI3hovUjeGiT3tN5yv/FhYWhWZk2dnZ/O9//8PMzIzBgwcXamtlZYW5ubmuRXpq8oN969atW+i8v78/ADt27Cixb/41X1/fQn77vXr1KndfPz+/xxe6mhEeDjduwEsv6eb+pqbg7w/z58OJE5CUBMuXg4sLLFoE3bursQKDB8PSpeWvLDxx4kTdCCx5aqRuDBupH8NF6sZwkbqRFIfOjX9vb28SEhIIDw8HYMWKFdy5c4d+/fpRr149bbs7d+4QHx+Ps7OzrkUqk/j4eOLj44u99vDhQyIjI1EUhQ4dOhS6NnToUMzMzIiKiuL48eNF+goh+O677wAYNWpUoWv5f2/cuLHYNJ4PHjzghx9+QFGUIn1rIitWQOvWag7/yqBxY3j1VTW7UEqKWjzs3XfV3ydNUouKNWsGb7yhFhkrqabAo7EvEsNC6sawkfoxXKRuDBepG0lx6Nz4f+eddwAYOHAgPXv21Gb9mTZtmrbNqVOneP7558nIyGDYsGG6FqlMgoKCaNu2Lb/99luRa3PmzCEtLQ0fHx88PT0LXbOzs2Py5MkATJ48mdzc3ELXv/nmG+Li4nB3d2fMmDGFrrVr145hw4bx8OFDpk6dWuS5H3/8MTdu3KBXr14EBAQ87RCrNKmpavrOkBDQR9IjY2M1KPjTT9VYgdRU2LwZBgyAiAi1loC9PXTpAh9/DPv2QVZW5cspkUgkEolEUoTK8C369NNPhaIoQlEUYWxsXMQnfunSpUJRFOHp6SnS09N1Jkd5ff4XLFggFEURtra2YtasWWLbtm1iy5Yt4sUXXxSKoghTU1MRGRlZbN8HDx6Ibt26CUVRhJ+fn1i3bp345ZdfxPjx44WiKMLa2rpE/66UlBTh5uYmFEURzz33nNi8ebPYvHmzGDZsmFAURTRq1EgkJiaWKntN8PlfvFgIExMhbtzQtyTFk5goxPLlQowYIYS9vRovULu2EP36CfHFF0LExQmh0ehbSolEIpFIJPpCn/ZapRj/Qghx6tQpsXbtWpGQkFDk2v79+8WCBQvEvXv3dCrDypUryx3wO3PmTGFmZqadtOQfjo6OYsuWLaX2vXv3rtZgf/Rwc3MTR48eLbXv1atXRUBAQJG+nTt3FufOnStT7upu/OflCdG+vRCDBulbkvKh0QgRGyvEggVCBAUJYWq6UYAQDg5CjBwpRGioOlmQ6J+NGzfqWwRJKUj9GC5SN4aL1I3hok97TRGijKpSNZibN2+yZ88ekpKSMDExwc3Njb59+1K7rIpSf3Lq1Cn2799PZmYmbdq0ISgoqNzFuaKjozl8+DAajYYOHTqUO8g3JiaGDh06cOzYMXx8fMrVpypx+LDqcrNtW/FVfQ2dF14YzltvrWX3bjVo+ehRtVhZixbQt6969O4Ntrb6lrTmMXz4cNauXatvMSQlIPVjuEjdGC5SN4aLPu21CjX+Bw4cyIwZM+jcuXNF3VLymFR34//VV2HvXjW7jrGxvqV5elJT1TiB8HDYswfOnFHjGHx8CiYD3buXXcFYIpFIJBJJ1UGf9lqFBvz+8ssv+Pr60q9fvyKFESSSpyUtDdasgddfrx6GP6gr/IMHw7ffwh9/wKVLEBoK7u6wciUEBoKNDfTpA3PnQnQ0aDT6lloikUgkEklVpUKN/6NHjxIcHMzu3bvp2bMnvXr10qb4lEielhUrIDcXxo7VtyS6o2lTNYvRqlVw/bpaY2DePLCwgH/+U80gZG8Pzz8PixdDQoLqNiSRSCQSiURSHirU+Pfx8WHjxo38/vvvDB06lAMHDhAYGEi3bt3Yvn17RT5KUsPIy1NXx4cNA0dHfUtTOSgKtGkDkyfD//6nuggdPAhTpqi/v/sutGql1iAYMwZ+/BGuXtW31BKJRCKRSAwZneT5b9u2LWvXriU+Pp4XX3yR6Ohonn32WTp27MimTZt08UhJNWf7drhwAap6scKQkJAn7mtqqvr/f/op7N+vukFt3w6jRqk7BC+/rE4EPDxgwgS1FkJJxcYkRXka3Uh0j9SP4SJ1Y7hI3UiKQ6dFvjw8PPjpp5/4448/CAkJ4fjx4wwePJj27duzbt06XT5aUs346ivo1El1e6nKVGS1RUtL6N8fPv8cYmPVasPr1oG/P+zcqcYS2Nur/7cPP1QDih88qLDHVztkJUzDRurHcJG6MVykbiTFUampPi9dusS8efNYsWIF2dnZuLu789FHH/Hiiy9iZKTzYsM1guqY7ef338HLSw32HT5c39JUHS5dKsgiFB4ON29CrVrQrZsaQNynD3TsCCYm+pZUIpFIJJKaRbXJ9lMWzs7OLF26lPPnzzNp0iQuXbrEyy+/jJubG6GhoeTm5lamOJIqwpdfQpMmMGSIviWpWjg7q6lRV6+GGzcKgoctLWH+fPD1BTs7CA6GhQvh5EkZPCyRSCQSSXVHr0W+kpOT+eKLL1i6dCmZmZk0bdqU9957j9deew0zMzN9iVWIxMREdu/eTVpaGu7u7jzzzDPlli0+Pl5b5Ktt27YEBgaWe4cjOjqa3377DY1GQ8eOHWtska+kJGjWTDVap07VtzTVh9xcOHJE3REID4dDhyA7Gxo0gICAgp0BFxd9SyqRSCQSSfVDr/ZapdcULoaUlBTx0UcfCWtra6EoivjHP/5RoffPzMwUX375pXB0dBSKoohXXnmlzD5ZWVli4sSJwsjISCiKoj2cnJzEjh07Su17584dMWzYsEL9FEURbm5u4ujRo6X2vXr1qggICCjSt1OnTuLcuXNlyq3PctG6YPJkIWxshLh3T9+SVAwHDhzQtwjFkpEhxK5dQrz/vhAdOwqhKEKAEM2aCfH660KsWSPEzZv6llK3GKpuJCpSP4aL1I3hInVjuOjTXjMIR3t7e3vmzJnDpUuXmDlzJnXr1q2we3///fe4uroydepUkpOTAVAUpdQ+eXl5jBw5km+//RYvLy9++ukndu7cyUcffcTdu3cZOHAg27ZtK7bvgwcPGDBgAOvXr6d3796sW7eObdu2MXHiRM6fP0/v3r05duxYsX1TUlLo1asX+/btY8iQIWzevJnNmzfz4osvcvToUXr27MmlS5ee7h9Shbh9G/79bzXDj5WVvqWpGBYsWKBvEYrFwkItKDZvnrojcPs2bNgAAwao6UVHjAAHB2jfXk0x+ssvcP++vqWuWAxVNxIVqR/DRerGcJG6kRRLpU83Khl/f39hZGQkgoKCxOuvvy4URREhISGl9lm0aJFQFEV4e3uLBw8eFLq2a9cuYWRkJOzs7MStW7eK9J06dapQFEUMGDBA5OXlFbq2fPly7Q5AVlZWkb5DhgwRiqKIcePGFbn2ySefCEVRRK9evUqVvTqt/H/8sRAWFtVrxTkjI0PfIjwRV68K8dNPQrzyihBNmqi7AiYmQnTrJsSMGUJERAjx8KG+pXw6qqpuagpSP4aL1I3hInVjuOjTXqv2xv+SJUtEfHy8EEKIFStWlGn8Z2dnCzs7O2FkZCTCw8OLbTNq1CihKIr44IMPCp2/ceOGMDExEcbGxuLs2bPF9u3WrZtQFEUsW7as0Pljx44JRVGElZWVuHv3bpF+OTk5wsXFRSiKUqrbUXUx/lNThbCyEmLaNH1LIvkreXlCnDkjxNKlQrzwghC2tupkoHZtIYKChJg3T4gjR4TIzdW3pBKJRCKRGCbV3u1n/fr1PPPMMzRu3Bhzc3OMjY1LPSqS8ePH4+npWe72O3bsIDU1FWdnZwICAopt89prrwEQFhZW6Py6devQaDT4+fnRokWLUvuuXr260PlVq1YBMGTIEKytrYv0MzExYcyYMcX2rY58/bUalDptmr4lkfwVRYGWLeHNN2H9erW+QEwMfPYZGBmpPzt1UmsMPP88LF4Mp0/LTEISiUQikRgCOjf+f/zxR4YPH87OnTu5du0a2dnZCHXHocRDnxw4cACAvn37ltimR48emJubk5SURFJSUpG+gYGBJfbNvxYdHY1Go3mivpGRkWUNo0pz+7Za1Outt9TsMxLDxsgIvL3Vidr27WpV4QMHYPJkSE1VYwQ8PaFRI3jpJVixQq1BIJFIJBKJpPLRufE/f/58AN566y3OnDlDeno6Go2GvLy8Eg99cvLkSQDatWtXYhtTU1Pc3NwQQmjbl7dv48aNsba2Jjs7mzNnzgAghCA+Ph5FUUrt27ZtW0BNP/qgGpdqXbBAXSV+/319S1LxTJ8+Xd8i6BwzM+jRA2bOhP371cnAjh0wejQkJMDYsWoK0RYt4I03YO1adfdA39QE3VRlpH4MF6kbw0XqRlIcOq/tef78eVq2bMnixYt1/agKIT8jUNOmTUtt5+zszPHjx0l5xGpJTk5GUZRy9T1x4gQpKSm0atWK9PR0Hjx4UGbfunXrYmVlRXp6OikpKWU+pypy9SosWqTm9K9fX9/SVDzVUWdlYWkJ/fqpB6i7Afv3q/UF9u5VMzoBtGtXUGOgZ08oxvtNpxi6bm5m3GTZ0WVYmVnRt1lf2ji0KTNzWXXC0PVTk5G6MVykbiTFoXPjv2nTpsX6sBsq9//MX1inTp1S2+Vfv/9IvsMn7fvoPcrTNz09vVCf6sSsWWrayerq6z9p0iR9i6B3bG3VWIDnn1f/vnZNnQTs3aumF/36azA2VuMG8ouN+fqCublu5TJU3dzKvMXnkZ+z+MhicvNyUVB4d9e7NLBsQJ9mfejj2oe+zfrStG71/pI3VP1IpG4MGakbSXHo3Ph/8803mT59OocOHaJbt266ftxTk7+SVlbsQf71R1fenrTvo/d4kudWF06dgu+/hy+/hAos9SAxcBo2VGMBXnpJdfc6f16dCISHw3ffwZw5quHfvXvBzkCHDmCi808v/XIr8xb/OvQvFkUvQlEUJneZzNRuU6ltUpvIpEjCL4Sz5+Iewk6EIRC0tG2pnQj0du2NbW1bfQ9BIpFIJAaIzr8+p0yZQlxcHM8++yxLlixh5MiRun7kU2H1ZzWp9PT0UtvlX7d6pPqUlZUVaWlpj9330Xukp6eXWuSsuOdWF6ZPV33B33xT35JI9IWiqLEALVrAuHGQlwcnT6oTgfBwmDsXPv5YdQny9y/YGWjdWu1bHbiZcZMvDn3BkiNLAJjUeRJTu03F3sJe26Zvs770bdaXucwl9UEqEYkR7Lmwhz0X9rDs2DIUFHycfOjbrC99XPvQo2kPapvW1teQJBKJRGJA6DzgV1EUZs+ejb29PS+++CINGzZk4MCBvPzyy7z66qvFHvrE0dERgMuXL5faLv96g0fS0Tg6OiKEKLMK7+XLl1EURdvX0tISS0tLgFL73rlzh/T0dIyMjKhfhkP8gAEDCA4OLnT4+vqyadOmQu127dpFcHBwkf4TJkwgNDS00LmYmBiCg4O5detWofMzZ87UBnY/Osbg4GASEhIKnV+0aFGRAKTMzEx8fYPZtu0gCxZArVrq+bCwMEJCQorINnz4cIMdR3BwMAcPHix0/tFxPHqfqjyOR4/5vuMAACAASURBVNHlOD7/fD7t2sGUKbB1K8TFXaZHj2BeeSWB9HR47z1o2xasrRfRqtV0/vMfdedAiMcfxzPPPKNXfVy7f42AtwJo1L8RS48u5Z0u75A4OZEZ3Wbw6ohXSxyHbW1bBrcazJJnl3Bm0hn+9vvfmGA1AXd7d1bGrSTo5yDqvl6X+t71+eeBfxJ9NRpNnkZn4wDdvK4SEhLk+8NAx/HX51XVcfyV6jCOhISEajEOqNr6CAsL09pirq6ueHl5MWXKlCL3qTR0XUggKipKWFlZCUVRyn3oivIU+frggw+Eoiji1VdfLbHNw4cPhbm5uTAyMhLXrl3Tnh8xYoRQFEV89tlnJfZNTEwUiqIICwuLQhWAu3TpIhRFET/++GOJfSMiIrQVgkuiKhb5ys4WwtNTiJ491QJS1ZmBAwfqW4RqRWamEHv2CPHhh0J06SKEkZFacMzZWYiQECF+/lmtTlwe9KWbxLRE8dbWt0Stf9QSdefWFZ+EfyJuZRStHv4k5OXliRPJJ8TXUV+Lv63+m6jzzzqCWYh68+qJQWsGicWHF4uElIQi1cgNEfneMVykbgwXqRvDRZ/2ms7dfj7++GPS09Np2LAhI0aMwMXFBQsLC4yMit900Lcvu7+/P/Pnz2fPnj0IIYqVJyIigqysLJo3b46Tk1OhvmvXrmXHjh3MmDGj2Pvv2LEDAF9f30L37tWrF9HR0ezYsYPRo0eX2tfPz++Jx2eIfPutmgLy2LHq47pRElUl61VVoXbtAtcfgLt34ddfC2IGVqxQz3t4qG0CAqBXLzXo+K9Utm7ibsTx+aHPWXtyLfXM6/Gp/6dM6DSBuuYVF/CiKAptHNrQxqEN73R9hxxNDkeuHdG6CE3ZOYWcvBwaWTXSuhL1ce2Dk5VT2TevZOR7x3CRujFcpG4kxaLr2UXdunVFnTp1xOXLl3X9qDIpz8p/bm6uaNCggVAURWzZsqXYNs8995xQFEXMmDGj0Plbt26JWrVqCUVRxO+//16kX15envD29haKoojQ0NBC137//XehKIqoXbu2uHnzZpG+mZmZwsnJSRgZGYnw8PAS5a9qK//XrwthbS3EW2/pWxJJdSQ5WYi1a4UYN06IFi3UXQFFEcLHR4hp04TYvl2I+/crT568vDyx+/xuEfRTkGAWwvkrZ7Hwt4UiPSu98oR4hPtZ98W2M9vE1J1TRful7QWzEMxCeH7rKd7e9rbYnLBZ3HlwRy+ySSQSSXVGn/aazo1/a2tr0a1bN10/plyUx/gXQoilS5cKRVGEp6enuP8Xy2DTpk1CURRhb28v0tLSivR9//33haIoonfv3iInJ6fQta+//looiiI8PDyKXBNCiOHDhwtFUcTo0aOLXJsyZYpQFEUEBASUKntVM/5HjhTC3l6I27f1LYmkJnDpkhArVggxerQQDRuqkwETEyG6dxfi00+FiIgQ4uHDin9ujiZHhJ0IE97LvAWzEN7LvMXq46tFjqbo54A+SU5PFmtOrBGvbX5NuHztIpiFMP67sei6vKv4JPwTEXExQjzM0cE/SCKRSGoY1drtp2vXrhw5coSMjAxtUKuh88Ybb7B79242btxI9+7dmTZtGg4ODkRERPDVV19hamrKDz/8QL169Yr0nTVrFgcOHCAiIoKAgAAmTZqEpaUlW7duZdmyZVhZWbFq1SpMislTuHjxYmJjY/n555+5d++eNvh51apVrF+/noYNG/L999/rfPyVxe7dEBYGP/xQvBuGRFLRNG0Kr7yiHkLAmTMFLkKLF8Nnn6muRD16FKQV9fFR6w48CRnZGXwf+z1f/vYliXcSCWwWyO7Ru+nj2kfvLo7F4WDpwPA2wxneZjgAF9IuaF2Elh5dyuwDs7EwtaBH0x7atKJejl4YKTrPHSGRSCSSikLXs4sjR44IS0tL8be//U1kZGTo+nGlsnLlynKt/AshRFZWlpg4caIwMjIqFIzs5OQkduzYUWrfu3fvimHDhhUJZHZzcxNHjx4tte/Vq1dFQEBAkb6dO3cW586dK1PuqrLyn5EhRLNmQvj7V/8g30eZN2+evkWQlMDcufNEbKwQX3whxIABQtSpo+4M1K0rRHCwEAsXCnHiRPlerzfTb4pP934qbOfbCuO/G4tR/x0lYq7F6H4QOkSTpxEx12LEgoMLRL+f+gmLORaCWQjb+bZiyNohYkn0EvHHrT90Fjws3zuGi9SN4SJ1Y7hU65V/RVFYuHAh77//Pp6enowdO5bOnTtja2uLcQnLaT4+PjqR5eWXX+bll18uV1szMzMWLVrEtGnT2LVrF3fu3KFly5YMGDAAMzOzUvtaW1uzdu1aZs6cyf79+8nMzKRNmzYEBQWVudrXsGFDwsPDiY6O5vDhw2g0Gjp06FDtgnxnzYKrV2H79uof5PsomZmZ+hZBUgIPHmTi5QVeXjB1KuTkwJEjBTsD06dDdjY4OKi7Avk7A66uBa/hhFsJfHP4G1bErcBIMeJ1n9eZ3HUyLvVc9Dq2isBIMcLbyRtvJ2+md59Otiab3678RviFcMIvhvP2jrfJzculsXVj+riqlYf7NOtDQ6uGFfJ8+d4xXKRuDBepG0lxKEKUUVL2KTEyMkJRlGIr1/7VEBZ/ZtfRaDS6FKlaExMTQ4cOHTh27JjOJlFPy5Ej0LUrzJ4NH36ob2kkkvLx4AFERqqTgb171ddxXh40ddHQcsAvJDsv5uSD3ThYOjCp8yTGdxyPnYWdvsWuNO5n3efA5QPaycDvyb8D4GHvoZ0M9HLphU1tGz1LKpFIJPpHn/aazlf+mzZt+ljtDdEPVlJxPHyo+lt7e6srqRJJVaF2bejbVz0ALt64zWdbv2fD5SWEGyfC2S4Q/RP1cody/WItIlLUtKJ2NcT+t6plxYCWAxjQcgAAKRkp7Evcx54Le9h+bjvfHvkWI8UIHycf7WRAVh6WSCSSykfnxn9iYqKuHyGpQvz973DunJrTv5iYZ4nE4Im7Ecfi6MWsOrGKPJHHCJ8RTOy0DmfTTkREqLsCu3fDkiWqO1D79gVuQn5+YG2t7xFUDvUt6zOs9TCGtR4GQOKdRO2uwMq4lcyPnI+ZsRndmnTTTgY6NeqEiZH8YJBIJBJdonO3H0nlYshuPwcPgr8/zJkDH3ygb2n0w61bt7C3t9e3GJJiKE03OZocNpzewOIjizl4+SCNrRszvuN4Xvd5nfqW9Yvtk5QE+/YVxAxcuaJmDerUqWAy0K2buqNQ0xBCEJ8Sr50MRCRGcD/7Pta1rPF39tfGC7Su31q7GyzfO4aL1I3hInVjuOjTXpPGfzXDUI3/e/fUQMqGDWH//idPnVjVCQ4OZsuWLfoWQ1IMxenm6r2rhMaGsuzoMq6nX6eXSy8mdprIcx7PPdYKtRBw/nxBvMDevZCSArVqqROA/MlAp05galrRIzN8cvNyOXrtqHYyEJkUSbYmmwaWDQhwDaCPax/CPg5jz/Y9+hZVUgzyc81wkboxXKTxL6kwDNX4HzMGNm2CuDho1kzf0uiPmJgYg9KLpIB83eRocth6ZiuhsaFsP7cdcxNzRrcbzcTOE2nj0KZCniUExMerOwJ790JEhDpBtrSEnj0LJgPt29fMifKDnAdEJkVqJwPHrh8j72oezVo307oIBbgGlLjrIqlc5Oea4SJ1Y7hI419SYRii8b9qFbz0Evz8M7z4or6lkUiKJ+FWAqExofx4/EduZtykc6POjPUey4g2I7CupVtH/dxciI0t2BU4cEDNLmRjowYN508GWrWqWalx80l7kMb+S/sJvxDOnot7SLiVAEC7Bu20k4Gezj2xqmWlZ0klEomkfEjjX1JhGJrxf+YMdOgAzz8PP/6ob2kkksJkZGewLn4dobGhRCZFYlvbltHtRjPWeyxtG7TVm1xZWRAdXTAZiIpS6w40aFAwEQgIqLm7aFfvXWXvxb2EX1R3Bq7cu4KJkQmdG3XWTga6Nu5KLZNa+hZVIpFIikUa/5IKw5CM/4cPwdcXMjPV7D516uhVHIkEUINNo69GExobypqTa7iffZ/AZoGM9R7LII9BBmkwZmYWrjFw9KhaY8DFpWAi0Lu3GlNT0xBCcDb1rNZFaF/iPlIfpGJhaoFfUz9t8LCXoxdGipG+xZVIJBKgmuf5r8kkJiaye/du0tLScHd355lnnimzOnA+8fHx2urAbdu2JTAwECOjqvXF9c47cPo0/PabNPzzCQ0NZezYsfoWo0aSeCeRsBNhrDqxiviUeBpbN2ZK1ymEeIfgUs+F0NBQarUxPMMfwMICAgPVA+DuXfj114KYge+/V897eBRMBqpbjYGS3juKouBm54abnRvjO40nT+QRdyNOOxmYtX8W7+15D9vatvR26a2dDLS0bSnrylQQ8nPNcJG6kRSHToz/mzdvYmJigq2t7RP1v3r1Ko0aNapgqR6fXr168euvv5Z4vVatWjx48KDI+ezsbKZOncqSJUsKVTZ2dHRkxYoV9OvXr8R73r17l3HjxrF+/fpC51u2bMnq1avp0KHDE4yk8vnxR/j3v2H5cjXLj0QlJiZGfhBXIrcyb7Eufh2rT6wmMimS2ia1GeQxiM8DPyeoeRDGRgXRtFVJN3XrwsCB6gFw8yZFagxA4RoDPXtW7RoD5dVPfiExHycfpnefTlZuFoevHtZOBt7e8Ta5ebk0tm5cKHi4kbX+v3OqKlXpvVPTkLqRFIdO3H6MjIzw8PDg1KlTALRt25bg4GDmzJlTrv5jx47lzJkzLFu2jNatW1e0eOUm3/jv0aMH5ubmRa6bmZmxdevWQufy8vIYOnQoGzduxNvbm3fffRcHBwf279/PV199RU5ODps2bWLAgAFF7vfgwQP69u1LVFQUvXv3Zvz48dSpU4dt27axZMkSLCws2LdvX6kTAENw+4mNVdMXjhihrkjKxTVJZZKRncHmPzaz+sRqdp7fiRCCoOZBjGo7ikEeg6hjVv23oR6tMbB3r/q3sTF07Fi4xoCFhb4lrXzuZ93nwOUD2snA78m/A+Bu567dFejl0gvb2k+2eCWRSCTlodq7/cTHx+Pt7V3u9nFxccTGxnLo0CG9Gv/5/PzzzzRt2rRcbZcsWcLGjRvx8vIiMjJSO2kIDAzE39+f/v37M2bMGP744w/s/rInP2PGDKKionjmmWfYunWrdku6f//+tG/fntdff51Ro0Zx4sSJcrsPVTapqTBkCHh6FlQ4lUh0TY4mh90XdrP6xGo2JWwiIycD38a+fN3va4a2HoqDpYO+RaxUmjRR0+uOGaOmFb1woWAiEBoKc+eCmRl07VowGejSRT1X3bGqZcWAlgMY0FJdgEnJSGFf4j72XtzLrgu7WHJ0CQoK3k7e2l0Bv6Z+WJpZ6llyiUQiqRj06vMfHR3Nb7/9xttvv609l52dzcmTJ1EUhXbt2ulRuscnJyeHWbNmoSgKX3zxRZHdgsDAQEaMGEFYWBhffPEFc+fO1V5LTk5m4cKFGBkZsXDhwiK+qGPHjuX7778nKiqKFStW8MYbb1TKmB6H3Fx1tf/ePdXIqImVSyWVR1ZuFnsv7mXD6Q1s+mMTtzJv0cq+FR/2+JCRbUfSzKaGpsL5C4oCzZurx+uvq5OBU6fU9+i+ffD11zBrlvp+7dGjYDLg4wMmNSAqrL5lfYa1Hsaw1sMAuHz3sjaT0M/Hf+bzQ59jamRKl8ZdtG5CXRp3wcy4BsyUJBJJtURvH+25ubn4+/uTnZ3N9evXtYbwkSNHyMnJoXbt2o+1W2AI7Nixg9TUVFxcXAgICCi2zWuvvUZYWBhhYWGFjP9169ah0Wjw9/enRYsWJfaNiopi9erVBmn8f/CBalDs3KlmIZFIKpqM7Ax2nNvBhoQNbD2zlXtZ92hh24JXvV5lRJsReDl6ySDOMlAUaN1aPSZNAo0Gfv+9YGdg9mz48EM1PsDfX80iFBAAbdtCFcs58EQ0rduUV7xe4RWvVxBC8MftP7QuQgsPL+Tv+/9eKJNQgGsAXo5eheJHJBKJxJDRmfGfnZ3NqFGjtAGvBw8eZNSoUQD4+fkxfvx4srKyAJg/fz4Ac+fO5cCBAwD06dPHYF1bSiJf9r59+5bYJj9+ICkpiaSkJJo0aVKob2B+Oo9iyL8WHR2NRqPB2IBKf/7wA/zrX/DVV9Cnj76lMVxkqfXH587DO2w9s5UNpzew49wOHuQ+oH2D9kz1ncrgVoNpXb91hRj8NVU3xsbqKr+PD0ybptYTOHq0YDLw4Ydq3QE7u4KJQO/e4O5euW59+tCPoih42HvgYe/BhM4T0ORpiLsRp90ZyM8kZGNuQ2/X3gS4BNCnWR/c7dxr1CS0pr53qgJSN5Li0Jnxr9FoWLNmjfbvxMREEhMT1YeamDB+/HgAbGxs0Gg0LFiwACcnJ/773/8C8PLLL+tKtMemvDHRJ0+eBCjVXcnU1BQ3NzeOHz/OyZMntcZ/efo2btwYa2tr7t+/z5kzZ2jVqlV5h6BToqJg3Dh49VU1vaekZCZOnKhvEaoESXeT2HZ2GxsTNhJ+MZzcvFy6Nu7K33v9nedbPU8L2+J3x54GqRsVU1O1PoevL3z8sVqvIyqqwE3o7bdVFz8np8IFx3S922cI+jE2MqZDww50aNiB6d2nk63J5vCVw9piY5N3TiY3L5eGVg0JcA3Qugk1qdtE36LrFEPQjaR4pG4kxaEz479WrVqsX78eIQTDhg3Dz8+PSZMmMWzYsELtGjRowHfffUdQUBBTp05Fo9HQsGFDgoODdSXaY9OsWTMsLCyoX78+Xl5eDB48mBEjRmDyF4fY5ORkgDKDg52dnTl+/DgpKSmF+iqKUq6+J06cICUlxSCM/8REGDRIDRaUAb5lExQUpG8RDJIcTQ6Hkg6x7ew2tp/bzombJzBWjPF38efrfl8zyGOQzlMxSt0Uj7m5utLfu7f6d3o6HDxYsDOwerUaR6DrgmOGqB8zYzP8nP3wc/ZjVq9ZpGenc/DyQe3OwKrjqxAIWti20LoI9XbpTX3L+voWvUIxRN1IVKRuJMVRocZ/Xl6edpXcyMiIIUOGaK85OzvzwgsvFNvPz8+PhQsX8uabbwIwdepUTE1NK1K0J6Jjx46YmZnx8OFD0tLSOH/+PJs2bWLTpk3861//Yvv27Tg6Omrb379/H4A6ZVS0yr+e3/5p++qLu3fVPON16sCGDVDLMOsjSQyU6/evs+PcDrad28au87u4l3WPBpYN6N+iP5/0/ITAZoHY1LbRt5iSv1CnDvTvrx4AaWlqwbH8ycCjBcfy3YR69QJ7e72JXGnUMatD/xb96d9C/efczrzN/kv7tTED3x37DoD2DdprdwZ6OvfEqpaVPsWWSCQ1jAo1/k1MTJ7Yz/FRI7pBgwYVJdJT8cUXXxT6Ozs7m61bt/Luu+/y+++/M3ToUK2vPqAde1luQvnXH/1fPU1ffZCTA0OHqvnDo6Jqxhe75OnI1mQTfTVaNfjPbiP2RiwKCl0ad2Ga7zQGtByAt5M3RkoNiCqtRtjYwHPPqQdAcnJBwbE9e2DpUvX8owXH/PzUQmXVHTsLOwa3GszgVoMBuHrvqnZXYP2p9Xz121cYK8Z0btRZW2Oga+OumJsUrSsjkUgkFUWFf8s+Sc2w6OhoXnnlFczMzDAzM2PRokUVLVaFYGZmxuDBg9m5cyempqZERkZy8OBB7XUrK3X1Jj09vdT75F/Pb/+0fSsbIWDCBNX/d8MGMADvoyrDpk2b9C1CpZGbl8vhK4eZd3Ae/X7uh818G/xW+LHs6DI863uyavAqbk6/SdTYKGb4z6BDww56Nfxrkm50SYMGMHw4fPcdnDkDly+rCQG8vOD//k/dLbS1VV0FP/wQdu2CjIyy71sd9NPIuhGj249m5aCVXJ58mTMTz7B4wGIaWzdm6dGl9P6hNzbzbQj8KZB5B+cRfTUaTZ5G32KXSXXQTXVF6kZSHBX6Tfvrr7/y66+/Auoq+bBhwxg6dCigZrP5q78/wLVr1+jTpw/379/np59+Ijg4mMOHD3P06NGKFK1CcXd359lnnwUotPKfv3tx+fLlUvvnX390h8PR0REhBJcuXSqzr6IoZe6ODBgwgODg4EKHr69vkQ+CXbt2FRtfMWHCBEJDQwudi4mJITg4mE8+ucV//gP/+Y+6ijdz5kxtxqZH5QwODiYhIaHQ+UWLFjF9+vRC5zIzMwkODi40kQIICwsjJCSkiGzDhw+vkHHcunWr0PnKGEdYWFi1GMej5I9Dk6ch5noM/zr0L7p80AXz1uZ0De3K7F9nY6wYM8t/Fi9cfIG5NnP5efDPjGo7CnsLe4MZx9tvv12t9GEo48gvOLZkSSZeXsGEhR1k2TJo1kx1EerXLwwrqxB69oSZM2H/fjW70F/HERYWVq308dxzz9HSriVvdnyTdUPXcXP6TYYlDiM4IxgzYzPmHJhDl+VdqPdOPRw7OPLPnf8k/ma8doHNUMYRHBxc6HMNqqY+qsvr6q/jCAsLqxbjgKqtj7CwMK0t5urqipeXF1OmTClyn0pD6ABFUYSLi4tQFKXYY/To0dp2iqIIOzs7sX37diGEEFu2bBGKooiQkBBdiFZhfPDBB0JRFDF16tQi51599dUS+z18+FCYm5sLIyMjce3aNe35ESNGCEVRxGeffVZi38TERKEoirCwsBB5eXnFtjl27JgAxLFjx55gVGXz449CgBAzZ+rk9pIqRFZulvgt6TfxVdRXYtCaQcJmno1gFsJ8trno80MfMefXOeLQ5UMiOzdb36JKDJS8PCFOnhRi0SIhnn9eCBsb9fPF3FyIPn2EmDNHiEOHhMiugS+h7NxsEXk5UnwW8ZnotbKXMPuHmWAWosHnDcTI/xsplh9bLi6kXtC3mBKJ5AnRtb1WGjrL9mNqasrSpUsRQvDWW2/RuXNnQkJCEELg7u6ubdegQQOOHTtGwz9TQ/Tv35969erxv//9T1eiVQgZf+5T133EcdXf35/58+ezZ88ehBDF+uVHRESQlZVF8+bNcXJyKtR37dq17NixgxkzZhT7zB07dgDg6+urF5//PXvUdJ6vvqqu0ElqFtfvXyfqShSHkg4RdSWKY9eOkaXJopZxLbo07sI7Xd6ht2tvujTqQi0TGf0tKZtHC45NnKgWHDt+vCCt6Ny5arrROnWgZ8+CAOL27dX6BNUZU2NTujXpRrcm3ZjhP4PMnEwiL0dqYwbWxq8lT+ThWs9VGzwc4BpAgzqGETMnkUgMF50Z/yYmJtoqtG+99RZubm7FVqW1sbHRGv6gThp8fX3Zvn07sbGxeqvye+bMGbKzs3F3dy8281B4eDgAHTp00J4LDAzEwcGBpKQktm7dysCBA4v0W/pn9NvIkSMLnR86dCiTJ08mKiqK48ePF8n3L4Tgu+/UTBH5xdIqk9hYGDwY+vaFZctkSs/qTo4mh7gbcURdiVKPpCgu3VVd0ppYN8G3iS/DPIfh28QXL0cvzIyrVkE+iWFibAze3uoxdaqaWODYMXUisHcvfPopTJ+uBhn7+xcEEHt6Vv/PJAtTCwKbBxLYXC32eOfhHfYn7if8Yjh7L+4lNFZ1h2hdv7U2eNjf2Z+65jUgsloikTwWOjP+y4soJkDY29ub7du3c/jwYb0Z/yEhIURFRbF69WpGjBhR6FpoaCinT5/GycmpUA5dY2NjZs2axVtvvcUHH3xA7969C6Xu3Lx5M1u2bMHOzo5333230D3t7OyYPHkyCxYsYPLkyezatatQHYFvvvmGuLg43N3dGTNmjI5GXTwXL8Izz6ip+9avV4sASaoPmTmZnEg+Qcz1GGJvxBJ7I5YTySfI0mRhZmxGB6cODGk1BN8mvvg29tV5vn2JJB9TU+jaVT3yKw0fPlywM5A/QXBwKKhFEBAALVpU/8lAPfN6POfxHM95qGmWbqTfYO/Fvey9uJctZ7bwTfQ3GClGdGzYUbsr0L1Jd2qb1taz5BKJRN9UivH/8ssv07179yLnc3JyinVfad26NQCxsbE6l60k8lfhx44dy9GjR/H398fExIRffvmFZcuWoSgKX331VZFCX2+88Qa7d+9m48aNdO/enWnTpuHg4EBERARfffUVpqam/PDDD9SrV6/IM2fNmsWBAweIiIggICCASZMmYWlpydatW1m2bBlWVlasWrWqyDN1yc2bEBQEVlbwyy/q9rvkyQkJCWHFihV6e/6dh3eIuxFXYOhfj+X0rdPkiTxMjEzwrO+Jj5MPo9uNpnOjzng7etcYFx5960ZSOvn66dlTdQGaNQsyM+HQoYIaAxMmqK5DjRsXFBsLCIAyaidWCxzrODKq7ShGtVV3hi+kXdC6CIXGhjL34FxqGdeiW5NuWjehTo06YWL09N8n8r1juEjdSIpDEcUtvT8lRkZqEiFFUVAUBSEERkZGGBkZoSgKxsbGmJqaYm1tjYuLCy1atMDX1xd/f3/c3Nw4fvw433zzDTNnzqRJE/2VRf/3v//N1KlTtf79+VhbW/PFF1/w2muvFdsvOzubqVOnsmTJkkI7G46OjqxYsYJ+/fqV+Mx79+7x+uuvs379+kLnW7ZsyerVqwu5GRVHTEwMHTp04NixY/j4+JQ1xFJJT1e/OC9fVr9gmzV7qttJUCP+/+rypQvuZd3jdMppTt86zamUU5xKOUV8SjyJdxIBqG1Sm/aO7fF29Mbb0RsfJx9aO7Su0fnFK0s3kiejPPq5dw8OHChwE4qLU1MTN2tWuPrwI2VlagRCCOJT4gm/EM7exL1EJEZwL+seVmZW9HTuqXUTauPQ5onS7cr3juEidWO4VKS99rjo1Ph/XBRFwc3NjZCQEF577TVsbW0rWLLH5969e+zevZsLFy4A4OrqSmBgYKFA35K4dOkSu3bt4s6dO7Rs2ZIBAwZgZlY+3+hTp06xf/9+MjMzadOmDUFBQeUK8q2oF1N2tpqPOypKTb2nJ+8rSRmkPkjVGvenUk5p3INsoAAAIABJREFUjf0r965o27jWc8Wzviet7FvR3rE9Pk4+uNm5VciKn0RiyKSmqp9f+W5C8fHq+VatCiYCvXqBnZ1exax0cvNyOXbtmHZnIDIpkoe5D6lvUZ/err0JcAmgT7M+NLdprveCkhJJdaXaGf9/zbf6KBqNhoyMDDIzM7l//z7nz5/n3Llz/P777+zZs0e7yl6nTh2ioqK0LkCS8pH/Yvr552O0alX8i8ncXA2QK4m8PLVa544dsGgRdO5ctI2Tk3qUxIMHcPp06bK2agW1S3E/vX5dPUqirHEAnDoFDx+WfL0qjCNHk8Puw1c5k3yZy3cvc+nOJS7dvcTFtIukPrgNgJH1TVo4W+JZ3xNPe0/V2K/fCnc7dyzNLA1iHFA99AFyHPlUtXHcuKFWH87fGTh3To0NaNsW2rSBTp3UhY7iaiga0jhK4kn18TD3IVFJUYRfDGd7bBxxZ5PJExoc6zjRqVEnOjfqTKeGnahvWd+gx/EoVVkfjyLHUUB1G8fp0zG89JJ+jH+d5Pl/Uh4+fCjWrl0runbtKpYvX65vcaok+Xlj4ZhQN7yLHp6epd9j6tTi+z16lJXn/+TJsu9x8mTp95g5s/T+ZY1DCLVNVRhHXl6eSLqbJMIvhIulR5aKKTumiGdXPStaftNSGP/dWFD/ZKn3+HhGjkGMoyyqij7kOGrGOC5fFuKHH4QIDq7a48inMvRh0/Sa2HBqg7idebtKj6O66EOOoyqPQ395/nWy8i/RH0+78v/ll2oGjQ8/hBdeKPk5VW2GXRKVPY7DR8OxcWnCxTsXuZB2gcQ7iSRlniWp1k4yczIBMFaMaWbTDDc7N9zs3HC3c8cs1Qsnc1fqW9Yvdhte6qOAJx1HbOxBvL17VPlx5FPdxnHw4EF69OhRbJuKGMepU3DlChw9CkeOqEdqKpiYqDsD/ftDv35q5qFaxcTAV2d9pD5I5ei1oxy5Gs2RmwdJqrUTBQUfJx8CXANwuO3A+MHjsTSzNOhxPEpV1sejlDWOgwcPYmvbo8qPA6qHPsAwVv4Nwvi/fv16oYJX8fHx0t3nCXkaH7I1a2DkSPjgA7W4juTJufvwLqdvndYG3eb74l/49gL8WaahgWUDPOw9cLdzx93eXWvsu9ZzxdRY5lOtbIKDg9myZYu+xZCUQGXrRwhISCjIJBQRoU4GzM2he/eCTEIdO9a89MeX7lxS04om7iX8QjjX/30d05dM6dK4izatqCz2ZxjIzzXDpdr5/M+ZM4fk5GS++eabMttqNBpcXV0ZOHAg8+fPp06dOpibm9OiRQtOnjxZ0aJVe570xbR3r7qyNXIkrFxZ/XNkVxRpD9KIT4kn/mY88Snx2qDba/evadu41HOhlX0rWtm3olmdZng39aaVfStsatvoUXLJX8nMzMTCwkLfYkhKQN/6yctTqw/nxwvs3w/376vpj/38CiYDXl7Vv/rwowghiEuKIypZjRnYd3EfaQ/TqG1SGz9nP23wsLejN8ZGNegfYyDo+30jKZlqZ/x7eHhw9uxZNBoNYWFh7N69u9D1oKAgbeGs1atX89JLL+Hk5MTly5cxNjambt26pKeno9FoKlq0as+TvJji4tS82d26wf/+V/NWscpDRnYGp1JOcfLmSeJT4jl58yQnb57k6v2rgOqq09KuJa3sW2kz6zwacCuRSKoXubkQE1MwGTh4UK07UK+eWn04fzLQujU8YQK8KkmeyCPuRpw2k9CBSwfIyMmgbq269HLppd0Z8KzvKTMJSWo0+jT+dZ7r7/Dhw6xcubLQuXr16jFixAgePnzIzJkzAfjggw8w/nO5xFRan5XG+fPqir+bG/zf/0nDPys3iz9u/6E17vON/QtpaqpXBQVXG1faOLTh5fYv08ahDW0c2uBm5ya3uCWSGoSJiZoJrXNneP99NT1ydHTBZOC999Rz9vaFqw+7uVXvnVUjxQgfJx98nHyY1m0a2Zpsjlw9QvjFcPZe3Mu03eq5BpYNCHAN0BYcc7Vx1bfoEkmNodISfR85cgQhBJ0fyRv51ltvcf78eTp06MCECRMKtZcrArrnxg21eq+1NWzbVrOq9+bm5XIu9RzxN/9cxU9RDf2zt8+iEeqOU2PrxrSu35rnPZ7XGvmt7FvJlXyJRFIEMzPo0UM9ZsxQgwujogomA2+/re4WODkVrj7sWs1tXjNjM7o37U73pt351P9TMnMyibwcqd0ZWBu/ljyRh0s9F+2uQIBrAI51alglNomkEqk04/+vlWkXLlzIypUrqVevHuvWrStSGMy4JjlNlsDNmzfZtm0bycnJuLi48Oyzz1Kngiz0O3fUFf+HDyEyEhwcKuS2BkeOJofzaeeJv6n645+6pRbD+uPWH2RpsgCwt7CnrUNb+rr2ZXKXybRxaENrh9bUM69X4fJMnz6dzz//vMLvK3l6pG4Mm6qmn9q1C6oK/+MfasX0gwcLJgNhYWocgbNzwWSgd29o3Fjfkj8+j6MbC1MLApsHEtg8EIA7D++wP3G/djIQGhsKgGd9T+1kwN/ZX8ZIPSFV7X0jqRz0UuJz165dJCQkYG5uzqZNm3AtZumjJhv/QgjmzJnDZ599Rm5urva8tbU1ixYtYvTo0U91/4wM+NvfICkJfv0VXFyeUmADIFuTzdnbZ7WVbvODb8/cPkNOXg4AtrVtaV2/Nb6NfRnrPVa7mu9gWXkzn6ZNm1basySPh9SNYVPV9VOnjrrg0r+/+vedO+rnb/5kYMUK9XzLloWrDzdooDeRy83T6KaeeT2e83iO5zyeAyA5PZl9ifsIvxDOL2d/YVH0Iq0rUX7wcPcm3eUObDmp6u8biW6o0IDfoUOHoigKO3fu5P79+7zwwgvExcVx7tw5XnjhBYQQ/Pe//9W2d3V1LbIjsHbtWuzt7cnLyyMtLa2iRKtSTJkyhYULF9K8eXPef/99XF1dOXr0KAsWLCAtLY1ly5Yxbty4YvuWFUCSlQUDB6rb0eHhxVfvNWSycrM4c/tMIQP/VMopzqaeJTdPnSjVt6hPa4fW2kq3rR1a41nfk/oWxefIl0gkEn1z61bh6sMJCer51q0LXIT8/cHWVq9iVjqJdxLVtKJ/7gzcSL+BqZEpXRt3LUgr2rgLZsZm+hZVInksqk22n7+67jwuiqKQnZ2NjY0NdnZ2XLx4sYIkqzr88ssvDBw4kMaNGxMTE4O9vb322smTJ+ncuTN5eXkcP34cNze3Iv1LezHl5KiFu3btgu3b1VUlQ+Xuw7sk3EooOG4ncCrlFOdTz2t98h3rOOJZ3xNP+wIDv5V9K+pb1tez9BKJRPJ0XL+uTgTyj/Pn1UBhL6+CyYCfnxqzVVMQQpBwK0EbPLwvcR93Ht7BwtQCv6Z+2uBhL0cvmVZUYvBUG+N/06ZNAEycOJHr16+zYcMGli9fzi+//MLGjRsRQjB48GBq1apFVlYWbdq04R//+Af5IiiKQnBwMKamprRr146YmJiKEq3K0K5dO06ePMny5ct59dVXi1z/+OOPmTt3LsOHDycsLKzI9ZJeTLm58OKLsHEjbN4Mzzyj02GUizyRx5V7Vwob+bcSOH3rNDfSb2jbNa3bFA97DzzsPLRGvmd9T2xr17AlMIlEUmO5fLlgV2DvXrUasbGxWmQsfzLQvTvUpJTumjxN4bSilw+QmZOJjbkNvVx6aYOHW9m3kru+EoOj2hj/+Tya53/y5Ml888035OXlAeruwPjx4zlz5gzh4eEsWLCAadOmafumpqZib29PYGAgO3furGjRDJoTJ07Qvn17LC0tuXnzJrWLqTF98eJFmjdvjoWFBcnJyVhaFvZ7LO7FpNHAmDGwbh2sXw+DBlXKcLQ8yHnA2dSzRYz8P27/QWZOJgC1jGvhbu+uNfI97NXDzc6tWvl2JiQk4OHhoW8xJMUgdWPYSP0UIIS6E5A/Gdi3D5KT1VTNXbsWTAa6doValZCB2FB0k63J5vCVw9rqw1FJUeTk5eBYx1G7KxDgGoBLPRd9i1ppGIpuJEWp1nn+i6NWrVqsWbMGLy8vPvzwQ7p06YKfnx8AiYmJADSuiikPnpIDBw4A4OvrW6zhD2qchKurKxcvXiQmJkb7fysJjQZeeQXWrlWzS+jK8Nfkabh09xJnb5/lzO0znE1Vf565fYbEO4kI1Dmmg6UDHvYedGrYidHtRmuN/KZ1m9aIbdr33ntPllo3UKRuDBupnwIUBVq0UI/XX1cnA6dPF0wGFi+Gzz4Dc3N1NyA/k1CnTrqp5WIoujEzNsPP2Q8/Zz9mMpOM7AwikyIJvxDO3sS9hJ0IQyBoZtOMAJcA7c5AgzpVIKr6CTEU3UgMi0oz/n18fHh0k8HOzo7vv/+efv36MXHiROLi4lAUhdjYWEA1gGsaJ0+eBFTXn9Jo27YtFy9eJD4+vlTjPzdXNfzXrIFVq2Do0KeTTwjBtfvXChn3+T8vpF0gW5MNqKv4zW2b42bnxgueL9DKvhUe9h6427vXeFedxYsX61sESQlI3Rg2Uj8loyjg6akeEyaoKUSPHy+YDCxYAJ98ApaWapxAfjYhb2/VdehpMVTdWJpZEtQ8iKDmQQCkPUhj/6WCtKLLY5cD0Lp+64K0oi7+OknzrC8MVTcS/aJz479OnTrY2tpy+fJlQDX6811VAgMDGTlyJGFhYfznP/9h3LhxrF27FmNjYwZVtm+KAZCcnAyUnZrL2dkZUOsAlERuLrz0klq1Nyys/Ia/EILkjGTOp57nbOpZdSU/9Qxnb5/lbOpZrZuOsWKMSz0X3OzcCGoWhJudGy3tWuJm50YT6yY1YhX/SZBp1wwXqRvDRuqn/BgZqYHBXl4wZYr6fRAbW+AiNGuWWoG4bl01g1D+ZKBNG7Xv41JVdGNT24ZBHoMY5KHaFzfSb2gzCW05s4Vvor/BSDGig1MHrZtQ96bdsTCtuoEUVUU3kspFJ8Z/o0aNyMpSCyjNnj2b2bNnl9h23rx5bNiwgaioKLp27cqePXvo169foSw3NYX79+8DlFnIK/96fvvi+OADtaDMunUweHDha1m5WSTeSeRC2gXOp50v9PNC2gWtgQ/QxLoJLe1a4tvYlzHtx6hGvm1LXG1cZWo1iUQiqQKYmKguP506wfvvQ3Y2HDlSMBl4/301DbS9vZoFLn8y4O6u7ipUVxzrODKq7ShGtR0FwMW0i9pdgZVxK5kfOR9TI1N8m/hqdwY6N+osv/skVR6dGP+zZ8/GpZyVo5o0acLmzZsJCAigZ8+eAEyePFkXYhk8+dkIyorBfjQ7UkkcOHKH+T9Fk+12gTm/Fjbwr9y7ovXBNzUyxdXGlWY2zfB39ifEK4TmNs1pZtOM5rbNq/SKh0QikUiKYmamxgJ07w4zZqiV3qOiCiYDb7+t7hY4ORXECwQEgKtr9Z4MuNq4MtZmLGN9xiKE4FTKKe1k4MuoL5kZMRNLU0v8nP20BcfaN2gvd7olVY4KN/5TUlIYPHgwpqamhIeH07JlS+21kSNHcvjw4WL75ebmcuXKFQICAujXr19Fi1UlsLKyAiA9Pb3UdvnX89sXR+6oPkxNABLUyrb5Bn33Jt21hn0zm2Y0smokP7gqkfnz5/P+++/rWwxJMUjdGDZSP7rD3LzAyAdIT4fIyILJwJo1ahxB06YFuwIBAZCfl6M66kZRFFo7tKa1Q2smdZmEJk9D7I1YbfDwzIiZvLfnPWzMbejt2lsbQOxh72FQaUWro24kT8/TVeUqhnHjxpGcnEyjRo2KZOy5fv06iYmJxR5XrlwBIDIykv3791e0WFUCR0dHAG18REnkX29QSt33uv+tS8/InvQ/0p/uB7vj+D9HLv3rEp3ud2Ksz1h6ufSiad2mhO8JJzg4uEj/CRMmEBoaWuhcTEwMwcHB3Lp1q9D5mTNnMn/+/CIyBgcHk5BfpvJPFi1axPTp0wudy8zMJDg4mIMHDxY6HxYWRkhISBHZhg8frq0pkc+uXbuqxDgyMwtcqqryOB6luozjxx9/rBbjqC76+Os4MjMzq8U4wPD1MWlSCP36wfz5EB0NqanQo8dw2rffRGwsvPwyNGkCjRrtwtk5mOjoTP4MWTOocVSkPoyNjOnYsCOBFoHUWleLs2PPsv+V/bzd5W1uZtxk0vuT8BzlSaMvG/HShpdYEbuCQycO6X0cmZmZ1VIfVW0cYWFhBAcHExwcjKurK15eXkyZMqXIfSqLCs3zHx4eTmBgIPXq1SM2NlYbmJpPr169OHDgACdPniw2leWXX37J4sWLqVevHlFRUbi7u1eUaFWC7777jvHjx9O7d2/Cw8NLbOfq6sqlS5eIjIwskhVJn3ljJRKJRFL9uXUL9u8vyCZ0+rR63tOzYGfA3x/s7PQrZ2Xy/+zdd1gUV9sH4N8ssIA0xUhTaQpIUUQsEQUFRYMGNUUTjRprLNEEo4kmsZCqqG/81DeWRMWSYBQTGypYEEVFUbAA1kRBYqEooBRB2PP9Me8urLtLh52F5841V2RmznJ2HwaeM3NKfkk+ztw/I+smdPnRZTAwdGjVQTalqJ+dH8wMzNRdVSIQTWaRrxcvXmDs2LF45513MHr0aIXj/fv3x+nTp5Gfn48WSpYhfPbsGRwdHZGZmQkHBwfEx8fDxMSkvqoneDdv3oSLiwv09fXx+PFjpd16bt26BWdnZxgaGiIzMxN6enpyxyn5J4QQ0pgePQJiYsobA//8w48NcHcv7yLk7c3PLtRcPC16ilOpp3Di3glE34vGjWy+heRm5lY+rahNP5joNaMPhchpMot86enpITw8XGV/t549e0JfXx9aKiYWNjY2xpo1a/D+++/D3d0dL168aFbJf6dOneDh4YHLly9j69atmD17tsI569evBwCMGDFCIfEnhBBCGpulJTB6NL8BwP37fEPg5El+uulVq/gpRLt3L28M9OnDrzvQVJnqm+It57fwlvNbAICHzx/i5L2TiL4XjX0392H1hdUQcSJ0t+ouGzzs1d6LJtkgjaJe7/zXl0uXLqF79+7qroZaREZGYsiQITAzM8Ply5dhaWkpO3bp0iV4eXlBS0sLSUlJ6Nixo0J5uvMvbNnZ2c1yGltNQLERNoqPcFUWG8aAu3fLBw9HRwMZGfxKw716lTcGXn+dH3jcHDDGcC/3nmzwcPS9aGQWZEKsJUbvdvLTiupo1W1JZrpuhKvJdPsh9WPOnDlYvXo1bGxs8OWXX8LOzg4XL17E8uXL8fz5c6xfvx4fffSR0rKU/AvbsGHDaKl1gaLYCBvFR7hqEhvGgJs3yxsDJ0/yA4p1dQEvr/IxAz178g2E5oAxhpSsFNl4gZjUGDwrfgYDHQP42PjIFhxzt3CHiKvZPC103QgXJf9Ewffff4/vvvsOL1++lO0zNjbG2rVrMW7cOJXlKPkXtsTERIqLQFFshI3iI1x1iY1EAiQllTcGTp0Cnj3juwT17VveGOjWDVDRY7jJKZWUIvFRomz14TP3z6CotAim+qbwtfWVNQYcWztWOa0oXTfCRck/USozMxOHDx9GZmYmbGxs8Oabb8Kgik6SlPwTQgjRVKWlwOXL5Y2B2FigsJAfLOzjU94Y6NyZH0fQHBSXFuP8v+dlg4cvPLiAUkkprIysZA0BPzs/WJtYq7uqpAYo+Sf1hpJ/QgghTUVJCXDxYnlj4Nw5oLiYn0a0f//yxkCnTk179eGK8kvyEZsWK+smdOXxFTAwdDTtKFtszM/OD20M2qi7qqQSTWa2H0IIIYSQ+iIW8zMD9ekDLFoEvHgBxMWVDx7+9FP+aYGFRfkqxX5+gL19020MGIoNEeAQgACHAADAk8IniEmN4bsJpUbjl8RfAACdzTqXTytq2w/GusbqrDYRkGby0IwQYXh1dUIiHBQbYaP4CFdjxkZPj0/wv/0WOHMGyMkBIiP5VYf//huYPh3o2BGwsQEmTAC2bQPS0xutemrRukVrvOPyDn4e+jNufHwD/875Fzve2gFPK09sC92GYX8Mg2mIKV7f9Dq+PvE1Ttw9gaKXRequNlEjSv4JaUSJiYnqrgJRgWIjbBQf4VJnbAwNgcGDgWXLgPh4fuagAweAd98FrlzhGwDW1nyD4KOPgJ07gceP1VbdRtHWuC3GdhmL0OGheL/1+7gz+w5+HvIzbFra4JfEXzBwx0C0CmmFAdsH4IfTP+D8v+dRKilVd7VJI6I+/00M9fknhBBCeNnZ/AxC0m5CN/iFduHszHcP8vMD+vXjxxA0BxImQXJmsmyNgVOpp/C85DmMxEboZ9tPtuCYm5lbjacVJTVDA35JvaHknxBCCFHu0SMgJqa8MfDPP/zYAHf38vECPj6AcTPpHl8qKcWlh5dkjYGz98+iuKwYbVq0ga+dr6wx0KFVhyqnFSU1Q8k/qTeU/BNCCCHVc/9+eUMgOhr4919+PQFPz/KZhPr04dcdaA6KXhYh7t84WWPg4oOLKGNlsDax5mcR+l9jwMrISt1V1Xg02w8hhBBCSCOztuYHC3/4Ib/68D//lDcGQkP5sQQ6OkCvXuXdhF5/nV+RuCnS19GXTRUKAHkv8hB7P1bWGNh6ZSsAoNNrnWQNgf62/WGqb6rGWpOaojv/DSgvLw+HDh1Ceno6LC0tMXToULSuZsdC6QJfGRkZsLW1xdChQ2FoaFhlObrzL2y01LpwUWyEjeIjXE01NozxYwSkawzExPADivX0+KcB0m5C3bvzDQQhqu/YZBZkIiY1RtYY+Pvp3+DAwcPSQ9YY6GvdF4biqvOV5o7u/AtQcHAwvv3220rPiYuLQ69evZQe27RpE+bMmYOCggLZPl1dXXz77bf4/PPPVb4mYww//PADvv32W5SWlo++NzY2xtq1azFu3LgavhMiJLNmzVJ3FYgKFBtho/gIV1ONDccBLi78NmsWIJEA166VNwZCQoCFC/kZh7y9yxsDXbvyXYeEoL5jY2ZghlGuozDKdRQAIC03DSdTT+LEvRP4Pel3rIxbCW2RNl5v97qsMdCrbS/oajfRRyUaiu78qyBN/l1dXWFpaan0nLVr18LJyUlh/+rVqzFnzhxYWFhg/vz5cHNzw40bN7B8+XL8+++/WLBgAX788UelrzlnzhysXr0aHTp0wPz582FnZ4dLly5h+fLlyMnJwYYNG/DRRx+prDfd+SeEEEIaXmkpkJBQ3k3ozBmgqAho2ZKfQUg6ZsDVFRA1g4lzGGO49eSW7KnAyXsnkfMiB/ra+vC28ZY1BjwsPKAlEkjrSI1owK8ASZP/rVu3Yvz48dUud/XqVXh6eqJFixZITExEx44dZccePnyIbt26ITMzE9HR0ejfv79c2UOHDiEwMBDt2rVDYmIiXnvtNdmx5ORk9OzZExKJBNeuXYOjo6PS70/JPyGEENL4iov5tQakjYG4OKCkBGjTBujfv3zMgIND0119uKIySRmuZlyVNQZOp51G4ctCtNRrif62/WWrDzu/5twsZxJSZ77WDNqijWvRokWQSCQICgqSS/wBwMrKCt999x0A4Msvv1QoK90XHBwsl/gDgJubG+bMmYOSkhIsWbKkgWpPCCGEkNrQ1eW7/yxezI8PyM0Fjh/nFxf791++65CTE9CuHTBuHLBlC5Caqu5aNxwtkRa6WXbD530+x5EPjiBnfg5iJ8YiqFcQnhY9xWdRn8F1nSusfrLCB399gC2XtyA1N1Xd1W4WKPmvR0+fPkVkZCQ4jsPkyZOVnjNmzBjo6ekhPj4e9+7dk+1PSkpCcnIyDAwMMHr0aKVlp0yZAgA4ePCg3FgCojn27dun7ioQFSg2wkbxES6KjXL6+sCAAcD33wPnzgE5OcDhw8CYMfxA4ilTADs7wN4emDwZ+P134OHD+q2DkGIj1hKjr3VfLOm/BKcmnELO/BxEjY3C+C7jcfvJbUw5MAV2q+3QYU0HTD0wFX8k/4GM/Ax1V7tJouS/Hp0/fx6lpaXo0KEDbGxslJ5jYGAALy8vMMZw5swZ2f7Y2FgAQO/evaGvr6+0rJ2dHezs7FBYWEhL3WuokJAQdVeBqECxETaKj3BRbKrHyAgICABWrAAuXQKePAH27QMCA4GLF4GxY4G2bYFOnYAZM4DwcCArq27fU8ixMRAbYFCHQQjxD8HFqRfx5Isn2PveXgzpOATn/j2H0X+OhsV/LNB5fWcERQbhwK0DyHuRp+5qNwk0208VajIkIjk5GQDQpUuXSs9zc3NDdHQ0UlJSaly2c+fOuHfvHlJSUuDt7V3tuhFhaNOmjbqrQFSg2AgbxUe4KDa106oVMHw4vwFAZqb86sMbNvD7O3cuHzzcrx8/oLi6NCk2rfRbYUSnERjRaQQA4NHzR/xMQndPYN/NfVh9YTVEnAjdrbrLxgv0ad8H+jrKb5gS1Sj5r8LEiRMxffp0tGrVCi4uLhg8eDAmT54MU1PFBS0yMvjHU9bW1pW+pvSpQGZmZr2UJYQQQohmMzMDRo3iNwB48IBvCJw8CezfD6xezc8a5OFRPni4b19+qtGmyNLIEmM6j8GYzmMAAHdz7iL6XjRO3DuBzZc3Y+mZpRBrieHV3kvWGOhh1QM6WgJddEFAKPlXoUOHDhgwYABKS0vx7Nkz3L17F9HR0YiOjsaKFSvw559/Ktx5f/78OQBUuRiX9Lj0/LqWJYQQQkjT0rYt3xVo7Fj+63v3yp8K/PYb331IW5tffVi6xkDv3vwiZE2RfSt72Leyx5RuU8AYQ0pWiqwxsOLcCiw6uQiGYkP42PjIGgNdzLtAxFEP91c1ieQ/MjISkZGRtSrbpUsXTJo0SWH/uHHjFBbUunDhAubPn4/Tp09j+PDhuH37ttysPNKpqqrqKiQ9XnFqq7qUJYQQQkjTZmfHb5Mm8asP377NNwSio4H16/mBxbq6/OrD0m5CEom6a90wOI6Dm5kb3Mzc8EmvT1AqKUXio0TZtKJfR3+NF6Uv8FqL1+Br6ws/Oz8MsBuAjqYdKX9CE0n+L1y4gDXAd8DIAAAgAElEQVRr1oDjuBr10ec4DsOHD1ea/CvTq1cvREZGomvXrrh9+zY2bNiAhQsXyo4bGRkBAPLz8yt9Helx6fl1LVtRUVERAODGjRuVvg5Rj/j4eBqsLVAUG2Gj+AgXxUZ9evXit/nzgX/+4dcZuHgRWLqUX30YiEefPono0QPo0QNwdBTO6sP1TRvaGGwwGINdB6PYqRhJmUmI/zceF5Mv4s8Tf0LCJDAzNENPq57o0bYHelj1gLmhudrqK83TpHlbY2oSyf+SJUsabe57PT09zJw5E0FBQXKz9QCAhYUFAOD+/fuVvob0uLl5+Q9dXcpWlPq/SYPHSp8TEsHx9PRUdxWIChQbYaP4CBfFRrjOnfPEuXPqroUwZCITEf/7TyhSU1PRp0+fRv2eTSL5b2xOTk4AgOzsbLn9nTt3BsCv8lsZ6XHp+RX/feXKlRqXrWjw4MH47bffYGtrq3LKUEIIIYQQoj5FRUVITU3F4MGDG/17c6wm/WQIAOCvv/7Cu+++C19fX5w4cUK2Py8vD2ZmZigtLcXNmzfh4OCgUDYvLw/m5uYoLS3FvXv30L59ewDAzZs34eLiAn19fTx+/Fhpt55bt27B2dkZhoaGyMzMhF5THdVDCCGEEEIaBA2BVuLBgwdITk5Gbm6u0uPShP/Vx5wmJiZ48803wRjDBukEva8IDQ1FSUkJvLy8ZIk/AHTq1AkeHh4oKirC1q1blZZdv349AGDEiBGU+BNCCCGEkBqjO/9KfP3111i6dCk++ugjhSQ+OTkZPXr0QElJCa5evQo3NzeF4x4eHtDR0cHFixfh6uoqO3bv3j10794dubm5OHnyJHx8fOTKRkZGYsiQITAzM8Ply5dhaWkpO3bp0iV4eXlBS0sLSUlJ6NixYwO8c0IIIYQQ0pRpBQcHB6u7EkJjb2+PzZs34/z587JVeB8/fozdu3djypQpKCgowPTp0zFx4kSFsmZmZjAxMcGhQ4cQHh4ObW1t5Ofn49ChQ5g0aRKys7Px5ZdfKp1hqGPHjsjNzUV0dDT+/PNPtGjRAk+fPsWuXbswbdo0vHjxAv/973/h7++vtN6ZmZkIDw9HVFQUHjx4AFtbW4jF4vr9cEi9Sk1NRXh4OE6cOIHs7GzY29tDq6lOxSAwdfnsU1JSsGfPHpw6dQrPnz+Hvb09TR8nIBSf6iksLMSRI0dw8OBBxMTE4MaNG9DW1pZNQFEZun4aXl3iUxcUn6qlpaVh//79OHLkCOLi4pCeno42bdpUuVYTIJBrhxGlzp49y2xtbRnHcXKbtrY2+/jjj1lZWVml5X/99VdmaGgoV1ZPT48tX768yu/93XffMbFYLFfWxMSEbd++Xen5EomEfffdd0xHR6faZUj96Nevn8LPyKsxV6a4uJjNmjWLiUQiufMtLS1ZZGRkI78LzVVYWMh++uknZmFhwTiOYxMmTKiyTF0++9zcXDZq1CiFODs6OrJLly7V19tqMmoTHxsbm0qvqU6dOqksS/Gpvr/++ou1bt1a6Wfcv39/lpWVpbQcXT+No7bxoeunYZWWlrIZM2Yo/PxzHMfEYjFbunSpyrJCunYo+a9EaWkpO3bsGFu1ahVbunQp27JlC0tLS6t2+by8PPb777+zkJAQtm3bNpadnV3tshkZGSw0NJSFhISwP/74g+Xn56s8NygoiHEcxzp27Mh+/fVXdvz4cbZs2TJmamrKOI5jGzdurPb3JTUjTf69vb2Zv7+/wjZ06FCFMmVlZeztt99mHMexbt26sd9++40dPXqUff3116xFixZMR0eHHTp0SA3vRrNs3ryZmZuby/0inDhxYqVl6vLZFxYWMi8vL8ZxHPPz82Ph4eHsyJEjbPbs2UxLS4sZGRnRH8gKahMfxsqTF2XXk7+/P5s8ebLSchSf6rtw4QLT1tZmenp6bP78+SwiIoIdOnSILVq0iLVs2ZJxHMfefPNNhXJ0/TSO2saHMbp+GtqSJUsYx3Gsbdu27KeffmLHjh1j+/btYzNnzmRaWlqM4zgWERGhUE5o1w4l/xouIiKCcRzH2rdvr3AnICkpienr6zNdXV1269YtNdWwaZMm/zVpFK5du5ZxHMc8PDxYUVGR3LGjR48ykUjEWrduXaPGYnPUr18/JhKJ2KBBg9jUqVOrlVzW5bOfO3cu4ziODRkyhEkkErljmzZtkt2FKS4urvubawJqEx/G+ORFJBLV+PtRfKpv3LhxTCQSsZCQEIVj8fHxTEtLi4lEInbnzh25Y3T9NI7axocxun4aWtu2bZlIJGLnz59XODZjxgzZZ/gqoV07lPxruM6dOzOO49jmzZuVHv/qq68Yx3Hs/fffb+SaNQ81Tf5LSkpY69atmUgkYidOnFB6zpgxYxjHcWzBggX1WdUmZ926dSwlJYUxxlhoaGiVyWVdPvvHjx8zbW1tpqWlpfQPLmNMdmdmw4YNtXxHTUtN4yNVm+SF4lMzycnJ7OzZsyw3N1fpcTc3N8ZxHNuzZ49sH10/jac28ZGi66dhHT58mB06dEghCWeMsYMHDzKO45izs7PcfiFeOzTVpwZLSkpCcnIyDAwMMHr0aKXnTJkyBQBw8OBBFBQUNGb1iBKRkZF4+vQpbGxs4Ofnp/Qcacx27tzZmFXTODNmzICLi0u1z6/LZ797926UlZXB29tb5Uxb0rJhYWHVrlNTVtP41AXFp2ZcXV3h5eUFExMTpceLi4sBALq6urJ9dP00ntrEpy4oPtUXEBCAIUOGKB1km5OTAwBo166d3H4hXjuU/Guw2NhYAEDv3r1VruZrZ2cHOzs7FBYWIjExsTGrR5SQxmzgwIEqz+nbty/09PSQnp6O9PT0xqpak1eXz15aVtVMWxWPxcfHo6ysrD6qTKqJ4lN/EhMT8ffff0MkEsmtJE/XjzCoik9dUHzq7uXLl1i7di0AKNyMFeK1Q8m/BktOTgYAdOnSpdLzpL8gpNOWkvrHqrlcRnVipqOjA0dHRzDGKGb1qKafvfT86pZt164djI2NUVJSgtu3b9dTrUl1UHzqR0ZGhixxGTRoEGxsbGTH6PpRv8riUxcUn7pJT0/HiBEjcOnSJXz44YcK08AL8dqh5F+DZWRkAACsra0rPU/6CyIzM7PB69Rc2dvbw8jICPb29nj77bfx22+/obS0VOE8ipn61PSzz8rKkivLcVy1yjLG5MqSmmOMQSQSwdjYGE5OThgzZgz279+v8nyKT92lpqbCx8cHd+7cga2tLX799Ve543T9qFdV8amIrp+G98UXX2DAgAHo0qULbG1tkZKSgk2bNiE0NFThXCFeO9rVOosI0vPnzwGgykUlpMel55P60717d4jFYrx48QI5OTn4559/sG/fPuzbtw//+c9/cOTIEbkFWShm6lOXz57i1ni8vb2RkZGBoqIiZGdn4+7du7hz5w7++OMP+Pn5Yf/+/TAwMJArQ/Gpm7i4OLz11lvIzMyEu7s7Dh06BCsrK7lz6PpRn+rER4qun8Zx+fJlxMTEyL5+8OAB/vzzT3Tp0gXdu3eXO1eI1w7d+ddg0gEnVXU5kR5XNkCF1M3KlStx9OhRnD59GklJScjNzcWePXtgbW2Nq1evYuTIkXLnU8zUpy6fPcWt8ezYsQNHjx5FbGwsbty4gadPn2Lz5s0wNTVFdHQ0pk+frlCG4lN7W7ZsQf/+/ZGZmYmRI0fi7NmzShNLun7Uo7rxkaLrp3EcO3YMZWVlyMnJQXR0NEaMGIEjR47Ay8sLERERcucK8dqh5L8aCgsLceDAAaxcuRI//vgjfvnlF1y9erVaZVNTU/Hrr79i+fLl2L9/P0pKSqr9fVNSUrBu3TqsXLkSUVFRkEgkcseNjIwAAPn5+ZW+jvS49HzScMRiMd5++21ERUVBR0cHZ8+exZkzZ2THKWbqU5fPnuKmPgYGBpg4cSLCw8MB8DNavDoQnuJTO8uWLcOUKVNQVlaGpUuXYteuXWjRooXSc+n6aXw1iY8qdP00LGNjY/Tr1w/h4eGYM2cOSktL8emnn8p1+xXitUPJfxX27t0La2trjBgxAl988QUWLlyI6dOnw8PDA76+vsjOzlZarqSkBLNnz0aHDh0wbdo0LFiwAG+99RZsbW0RFRVV6ffMy8vDe++9h86dO2PWrFn44osvEBAQAGdnZyQkJMjOk3YnuX//fqWvJz1ubm5ek7dO6sDJyQlDhw4FUD5aH6CYqVNdPnsLCwswxpCWllZlWY7jKG4NwNfXF127dgVjTK5BDVB8amPPnj346quvIBaLER4ejvnz51d6Pl0/jaum8akKXT8N7/vvv4epqSnu3buH06dPy/YL8dqh5L8S8fHxGDVqFAoKCvDFF1/g4MGDiIiIwMKFC2FiYoJTp04pjOoGAIlEgtGjR+Pnn39G165dsWPHDkRFReGrr75CXl4eAgMDcfjwYaXfs6ioCEOGDEF4eDh8fX2xe/duHD58GLNmzcI///wDX19fWQNAOovPlStXKn0f0qcU9TUtGKkeJycnAMCTJ09k+6oTs+LiYty6dQscx1HM6lFdPnvpvyt74peWloZnz55BT08PDg4O9VRrUpGyawqg+NRUQUEBPv74Y3Achw0bNuCtt96qsgxdP42nNvGpDrp+Gpa+vj68vb0BAH///bdsvxCvHUr+K/Hf//4XEokE33zzDZYtW4ahQ4diyJAh+Pbbb3H06FGIRCIcPnxYLsgAsG7dOuzduxddu3bF2bNn8cEHH8Df3x/ff/899u3bh7KyMowfP17hAgSARYsWIS4uDgEBATh+/DjeffddvPHGG1izZg02btyI/Px8jBkzBiUlJejXrx8A4Pz58yoHedy6dQtpaWkwNDSEh4dH/X9IRCXpomoVF2qRxuz48eMq+/DFxMSguLgY9vb2sLS0bPiKNhN1+eylZSMjI1W+vvRY7969qU9sA1F2TQEUn5rasGEDsrKy8NZbb2HChAnVKkPXT+OpTXyqg66fhie9NrS0tGT7BHntVHst4GZIE5ZA79atG+M4jq1Zs0bp+Z9++injOI6NGzeuyvdLaubWrVssKSmJlZSUKD3u4uLCOI5jhw4dku0rLS1l5ubmjOM4duDAAaXlhg8fzjiOY4sWLWqQejdFoaGhjOM4NnHiRJXn1OWzz87OZrq6uozjOHb16lWFchKJhHl4eDCO49jmzZvr9maaoOrEhzH+d25ycrLSY0VFRczU1JSJRCKWkpIid4ziUzNOTk5MJBKxixcvVrsMXT+NpzbxYYyun4b24sULdvDgQXb48GGlxyUSCevQoQPjOI5duHBBtl+I1w4l/3Xg4ODAOI5jBw8elO07cOAA4ziO2dnZqSwXHR3NOI5jNjY2cvvXrFnDOI5j/fv3V1l2y5YtjOM45uPjwxhj7MiRI4zjOGZubs4ePnwod+7FixeZjo4O09PTU9mYILUnbYjt3LlT4dimTZsYx3HMysqKvXz5Uu7Y+vXrGcdxzMXFhT1//lzu2L59+xjHcey1115jOTk5DVr/pqS6yWVdPvv58+czjuOYr6+vQkz/7//+j3Ecxzp16qRwjFQ/PlZWVozjOBYXF6dwbOHChYzjONa9e3elZSk+1ZObm8s4jmNisVjljQtV6PppeHWJD10/DaugoIDp6OgwjuPYzZs3FY5v3ryZcRzHnJycFI4J7dqh5L+WEhISGMdxTEtLi6Wmpsr2f/7554zjODZ16lSVZUtKSpi+vj4TiUTs/v37sv0jR45kHMexH374QWXZ9PR0xnEc09PTY6WlpYwxxoKCghjHcczW1pZt3LiRHT16lP3www/MxMSEiUQitnHjxnp4x+RVu3fvZhzHsRYtWrC5c+eyAwcOsMOHD7OPP/6YaWlpMZFIxHbt2qVQTiKRsLfffptxHMe6dOnCtm/fziIjI9mCBQuYrq4uE4vFck8LSNWqm1zW5bMvKiqSNfi8vb3Z7t272aFDh9iMGTMYx3HM2NiYJSQkNMTb03jVjc/y5csZx3HM1NSUBQcHs8OHD7MDBw6wDz74gHEcx3R0dNjZs2eVlqX4VE9qairjOI5pa2uzAQMGVLrNnTtXrixdPw2vLvGh66fhjR8/XnZjb+nSpSwiIoIdOXKEffrpp0xbW5uJxWIWExOjUE5o1w4l/7Xw+PFj5ujoyDiOYwEBAXLHAgICGMdxbO3atZW+hru7O+M4Tu7xkbOzs8KTBGWkSf3169dl+7777jsmFosZx3GyzcTEhG3fvr0W75BU18aNG5mhoaHc5y797H/99VeV5YqLi9msWbOYSCSSK2dpackiIyMb8R00DVu3bq1WcslY3T77vLw8NmrUKIV4Ozo6skuXLtXX22lyahKfJUuWKPwu4ziOWVhYqHxkLkXxqdq9e/cYx3FMJBJVufn6+iqUp+unYdU1PnT9NKz8/HxZF51XNzs7O3b8+HGVZYV07XCMVbFyAJGTmpqKwYMHy5bYjo2NRdu2bWXHPT09cfnyZezbtw/Dhg1T+TrDhw/HwYMHsXXrVowfPx4A0Lp1a+Tm5uLy5cvo0qWLyrLu7u5ISkpCTEwMfHx8ZPszMzNx+PBhZGZmwsbGBm+++abCSn6k/j179gzHjh3D3bt3AQB2dnbw9/dXGFSlTFpaGo4ePYrc3Fw4ODhgyJAhEIvFDV1lgrp99tevX8epU6dQWFgINzc3DBo0iAbB1aPMzEwcP34c6enp0NbWhqOjIwYOHAh9ff1qlaf4NDy6foSLrp+Gd/36dZw9exbZ2dlo0aIFunTpAh8fH7mBvqoI4dqh5L8GqrPEtqOjI/7++28cP34cfn5+Kl/rgw8+wM6dO7F27Vp8/PHHAPgFosrKynDnzh3Y29urLNunTx/ExcXh4MGDsrnkCSGEEEIIqQpN9VlNtAQ6IYQQQgjRdNrqroAmWLZsGb766iuIRCIsXbq00pX26rqMc05OTp2Wcc7OzkZUVBRsbW2r/YiPEEIIIYQ0nqKiIllX8tdee61Rvzcl/1WouMT2zp07q1xpr67LOD99+hRpaWlwd3evtCynYhnnqKgojB07ttLvTQghhBBC1O+3337DBx980Kjfk5L/StR2CfTDhw/Xehnn69ev4+rVqyoHC0uXcdbX11e6jLOtrS0A/ofJ2dm5yvqSxjVnzhysWrVK3dUgSlBshI3iI1wUG+Gi2AjXjRs3MHbsWFne1pgo+a+EdIntt99+u0ZLoIeEhMiWcVbWL1+6jHOHDh0UlnHetWsXIiMjsWjRIqWvX9UyztKuPs7OzujWrVu16kwaz4MHDyguAkWxETaKj3BRbISLYiN86uiiTQN+K/Hrr7+C4zgsWLCg2mX8/f1hZmaG9PR0REREKD1n/fr1AIDRo0fL7R85ciTEYjHi4uJw7do1hXKMMWzcuBEAMGbMmGrXiQgHjcMQLoqNsFF8hItiI1wUG6IMJf8q5OXl4fbt29DW1q60//2rtLS0EBwcDABYsGCBwuDd/fv348CBA2jdujU+++wzuWOtW7dGUFAQACAoKAilpaVyx9esWYMrV67AyclJtjYA0Sx2dnbqrgJRgWIjbBQf4aLYCBfFhihD3X5UyM3NBQBIJBIEBARUem7Xrl2xcuVK2dfTpk3DsWPHsHfvXvTp0wfz5s2DmZkZYmJisGrVKujo6GDbtm1o2bKlwmsFBwcjNjYWMTEx8PPzw+zZs2FgYICIiAhs2LABRkZG+P3336GtTaEjhBBCCCE1QxmkCtK59CUSCU6ePFnpuRKJRO5rjuOwc+dOzJ07F+vWrcOHH34oO2ZhYYHQ0FAMHjxY6Wvp6enhyJEjmDp1KsLDw3HmzBnZMQcHB4SFhVH/PQ32alcvIhwUG2Gj+AgXxUa4KDZEGUr+VbC1tVVI6mtCLBZj7dq1mDdvXo2XcTY2NsauXbuwZMkSWmK7ifHw8FB3FYgKFBtho/gIF8VGuCg2RBmOVbWcLNEoiYmJ8PT0REJCAj0hEKBhw4bhwIED6q4GUYJiI2wUH+Gi2AgXxUa41Jmv0YBfQhrRf//7X3VXgahAsRE2io9wUWyEi2JDlKHkn5BGZG1tre4qEBUoNsJG8REuio1wUWyIMpT8E0IIIYQQ0kxQ8k8IIYQQQkgzQck/IY0oJCRE3VUgKlBshI3iI1wUG+Gi2BBlKPknpBEVFhaquwpEBYqNsFF8hItiI1wUG6IMTfXZxNBUn4QQQgghwkZTfRJCCCGEEEIaHCX/hBBCCCGENBOU/BPSiLKzs9VdBaICxUbYKD7CRbERLooNUYaSf0Ia0aRJk9RdBaICxUbYKD7CRbERLooNUYaSf0IaUXBwsLqrQFSg2AgbxUe4KDbCRbEhylDyT0gjohmYhItiI2wUH+Gi2AgXxYYoQ8k/IYQQQgghzQQl/4QQQgghhDQTlPwLVEpKCtatW4eVK1ciKioKEolE3VUi9WDz5s3qrgJRgWIjbBQf4aLYCBfFhihDyX8VioqKsGrVKlhaWkIkEmHixIlVlrG1tYVIJFK5OTs7qyybl5eH9957D507d8asWbPwxRdfICAgAM7OzkhISKjPt0bUIDExUd1VICpQbISN4iNcFBvhotgQZbTVXQEh27JlC7766itkZmbK9nEcV+3yAwcOVLrf2tpa6f6ioiIMGTIEcXFx8PX1xYwZM2BoaIjDhw9j3bp18PX1xcmTJ+Hp6VmzN0IE4+eff1Z3FYgKFBtho/gIF8VGuCg2RBlK/iuxfft2ZGVlwd/fHzY2Nti0aVO1y3Ich6NHj9bo+y1atAhxcXEICAhARESErKHxxhtvwN3dHVOnTsWYMWOQlJQEsVhco9cmhBBCCCGEuv1U4r333kNSUhKioqLg5eXVoN8rIyMDq1evhkgkwurVqxWeMEyePBm9e/fGnTt3EBoa2qB1IYQQQgghTRMl/5WYMWMGXFxcGuV77d69G2VlZfD29kbHjh2VnjNlyhQAQFhYWKPUiRBCCCGENC2U/AtEbGwsAMDf31/lOdJj8fHxKCsra5R6kfo1bNgwdVeBqECxETaKj3BRbISLYkOUoeRfIJKTkwEAXbp0UXlOu3btYGxsjJKSEty+fbuxqkbq0axZs9RdBaICxUbYKD7CRbERLooNUUZjB/yeP38e27ZtQ1JSErKzs/Hy5UswxlSef/fu3UasHcAYg0gkgqGhISwtLeHp6Yn33nsPw4cPV3p+RkYGOI5TOROQlI2NDZKSkpCVlVXplKFEmAYNGqTuKhAVKDbCRvERLoqNcFFsiDIamfwfOXIEw4YNE2zXF29vb2RkZKCoqAjZ2dm4e/cu7ty5gz/++AN+fn7Yv38/DAwM5Mo8f/4cAGBoaFjpa0uPS88nhBBC6qKsDHj+HMjP5/8v3fLzAS0tQF9fftPTk/9aR0fd74AQUhMamfwvWrQIZWVlGDZsGGbNmgUrKyvo6+vXaA7+hrRjxw65rwsKCrB79258/vnniI6OxvTp0xXOkda9sqcXFY8L5b0SQghpXBKJ8kS94tfKNlXnFBXVrT7KGgiVNRbq41wRdVompNY0MvlPSUlB+/btsWfPHmhrC/8tGBgYYOLEibC1tcWAAQMQFhaGH3/8Ee3bt5edY2RkhJycHOTn51f6WtLjRkZGDVpn0jD27duHESNGqLsaRAmKjbBpcnwYAwoKapeYKzteUFD59xOJACMj5ZuNjepjhoaKX5eV8Y2DoiLgxYvyf1fc4uL2wclphML+iuc/fw5kZiovX1QEFBfX7DMVi2vesNDXBwwMgLZtgfbtAWtroF07/jWaKk2+bkgDYhrI2tqa9e7du1G/Z2hoKOM4jk2cOLFOr+Ph4cE4jmNhYWFy+11dXRnHcWz//v2VljcxMWEikYjdunVL6fGEhAQGgJmbm7PAwEC57fXXX2d79+6VOz8qKooFBgYqvM7MmTPZpk2bFF47MDCQZWVlye1fvHgxW7Zsmdy+tLQ0FhgYyG7cuCG3f82aNWzevHly+woKClhgYCCLjY2V2x8WFsYmTJigULdRo0Zp7PsYNWpUk3gfFTWV99G+ffsm8T6aSjxefR+jRo1S+/t4+pSxM2cKmKdnIJs1K5YFBzM2dy5j06Yx5uUVxtq3n8D692fM05MxR0fGLC0Z09YexYC9jG8CSLcoBgTKvuY4xoyNGTMwmMnMzTex7t0Z8/VlbNgwxgICEpiNTSD7+OMs9u23jP30E2O//srYO+8sZhMmLGOnTzN2+TJjf//NWEJCGhsyJJBdv964P1cVf6/VNh5lZYwVFjL25AljFy6kMT+/QLZ//w124QJjMTGMHTnC2OTJa9jQofPYpk2M/fe/jK1YwdjChQWsY8dANnJkLJs2jbHx4xkbOZIxD48wZmk5gXl5MebhwZizM2O2toyJxYrxMDGJYiYmgWz4cMZmzWIsJISxsDDG3nprJgsJ2cRKSqr/PioSwnU+atQojbrOVb0PxjTr99Wr7yMsLEyWi9na2jJ3d3fm4+PDALCEhASF12toHGNV9DMRoIULF2L58uVISkqCk5NTo3zPrVu3YtKkSZgwYQK2bNlS69cZPXo0du3ahTVr1siNwpfu/+abb7Bo0SKlZdPS0mBnZwd9fX3k5+cr7fqTmJgIT09PJCQkoFu3brWuJyGENDfFxUBaGnD3Lr/duyf//7y88nNbtABMTKp3B72q4y1aANSTs/EUFQH//gvcvw+kpyvfnj0rP18kAiwt+acFqjZzc+qKRGpGnfma8PvMKLFo0SLExcXB398ff/zxR4OvvlufCv73vNbExERuf79+/bBr1y5ERkaqTP4jIyMBAL1796Y+/4QQUkMSCfD4cXky/2qC/+ABfy8YALS1AVtbwM4O6NkTeO89wN6e/9reHmjVihJ2TaWvDzg48Jsqz57JNwYqNhSuXOH//+JF+fk6Onx3Imtr1Q0EU1P6mSHCoJHJv66uLv7880/06NED3t7e6N69O3r27AlTU1NoaWkpLbN48eJGqRoTNAQAACAASURBVFtKSgoAwNXVVeHYixcvcPbsWXAcB09PT7ljI0eORFBQEOLi4nDt2jWF+f4ZY9i4cSMAYMyYMQ1Ue0II0WzPnvGJvLIEPzVVPmEzNy9P5vv1K/+3nR3fF1zFnxPSDBgbA66u/KYMY8CTJ8qfGty/D5w5wzcmS0vLy7Rowf9cSRsDyhoKNJyPNAaNTP5v3rwJf39/PHjwAABw8eJFXLx4UeX5HMc1WvI/aNAgPHr0COfOncPrr78ud+yHH35ATk4OPD094eLiInesdevWCAoKwvLlyxEUFISjR4/KDWZes2YNrly5AicnJ4wfP75R3gshhAjNy5d8gqWsW87du3xCJtWiRXkyP3iw/J17W1t+8CchtcFxwGuv8ZuHh/JzysqAjAzlDYQbN4CjR4FHj8qfNgF8VzJlTw2kDYWmPkCZNA6NTP6/+OILPHjwAAYGBhg8eDBsbW3RokULiFR0uGvMLjJBQUGYP38+hg4dik8++QQ9e/ZEaWkpdu3ahbCwMGhra2P16tVKywYHByM2NhYxMTHw8/PD7NmzYWBggIiICGzYsAFGRkb4/fffNWKGI6LcxIkTERoaqu5qECUoNsLAGJCVpZjYHzo0EXp6oUhP55MqgO9j3b49n8x37gwMH16e3NvbA23aUDeLxkDXjnJaWoCVFb/16qX8nJIS4OFD5Q2EixeBv/4CsrPly5ib8z/vHh7lm4OD8idVFBuijEZmkefOnYNYLMbZs2cVusc0lOo2ID7//HMUFBRg6dKl+Oabb+SOmZub45dfflE5RkFPTw9HjhzB1KlTER4ejjNnzsiOOTg4ICwsjAbxajhabVG4KDaNhzF+YG1ysvI7+BWnsjQ1ld6pH4R+/eTv3ltb0wJTQkDXTu2JxfxTKFtb1ee8OkD53j3g6lVg1y5gxQr+HAMDoEsXviHQrRv/f1dXig1RTiNn+zE0NISbmxvOnz+v7qqolJmZiePHjyM9PR3a2tpwdHTEwIEDoa+vX63y169fx6lTp1BYWAg3NzcMGjSoWg0Qmu2HECIk0kQ/IUF+k3bP0dXlE5+KSb3033Z2fDcIQohyT57wA5AvXy7fbt7krzttbb4BUPEJQdeuNK5AKGi2nxrq2rUr/vnnH5SWlgq2C4yZmVmdBua6uLgojAsghBAhkyb6ly6VJ/mJieWJvpUV4OkJzJ7N/9/dnZ8hhaZIJKR2WrcGBgzgN6mCAuDaNfkGQVgY38UI4LsIVWwQeHgAZmbqqT9RD2FmzlVYvHgxhg4dihkzZuCXX36haS8JIaSRMcbPnvPqHf2nT/njFRP97t35f1tYqLXKhDQLBgZA7978JvXyJXD9unyD4MgRfuVlgL9eK3YZ8vDgV4Om9Kpp0sjk39PTE1u2bMGcOXNw9epVzJ49u8qpPk1NTRu5loQoOnPmDPr27avuahAlKDaqVUz0pXf1ExPLE/22bfnk/tNP+f83RKJP8REuio1wSWOjo8M/aXN3ByZM4I9JJPwYG2ljIDER2LgRyMzkj7dqxXcTqviEwMmJ705ENJtG9vkXiUTgOA4Vq17V3f8y6fQQTRz1+Re2YcOG4cCBA+quBlGCYsNjjB9QWPFuvrJEv+LWGHf0KT7CRbERrprGhjF++tGKTwguX+Z/JwD8AmnSgcXSrXNnmn60NtSZr2ls8l9TEomkAWoiPJT8C1thYSFatGih7moQJZpjbJQl+gkJQE4Of7xt2/IuO9LN3Fw9dW2O8dEUFBvhqq/Y5OQoDiy+cYN/eqClBTg7y3cZ6tqVButXhQb81lBzSeRJ00N/IIWrqcdGmui/OhhXmui3a8cn93PmqD/RV6apx0eTUWyEq75i06oV4OvLb1JFRUBSUnmXocuXgd27y1fRtrcvbwxIGwY07kcYNDL5rynGGA0KJoQ0G4zxfXlf7bqjLNHv3p3/wyykRJ8QInz6+kDPnvwmVVrKTzVa8QnBihVAXh5/3MJCcaYhe3saWNzYNDL5/89//oO5c+dW69ysrCy8//77OHHiRAPXihBC1OfuXSA6Gjhxgv+/dNBe+/Z8ov/ZZ+V39GlaP0JIQ9DWBtzc+G3cOH6f9KljxQZBaCjw44/8celThYED+a1jR2oMNDSNnF35888/x8yZM6vs/hMfHw9PT0/ExMQ0TsUIqcLnn3+u7ioQFTQtNo8f83N3T5nCL4bVoQMwbRrfCJg0CTh8GMjI4FcF3bsXWLgQCAjQ3MRf0+LTnFBshEsIseE4/u7+O+8A338PHDoEPHzI/w47cgT45BP+ZsUnnwCOjvzvsylTgD/+KL+JQeqXRt7579OnDzZs2IC0tDTs3r0bBgYGCuds3LgRn376KUpKSuBbsZMaIWpkbW2t7ioQFYQem9xc4NSp8rv7KSn8fldXYNgwwM8P6NcPaNlSvfVsKEKPT3NGsREuIcfG3Bx44w1+Cw7m1xw4dQo4fpzfNm/mz3N3B/z9+acC3t4ADTGpO42c7ae4uBgTJkzArl274O7ujkOHDsHKykp2bMaMGdi6dSsAYM6cOVixYkWtZgjSRDTbDyFNQ1ERcPZseTeeS5f4mTVsbctX9PT1pQF0hJCm6eFD/veftDHw8CEgFgNeXuWNAU9PfrYhTUSz/dSQrq4uwsLCYGtri5CQEPTq1QsRERFo2bIl3nnnHSQmJqJFixbYtGkT3n//fXVXlxBCqlRaCly8WJ7snzsHFBfz3XT8/ICpU/mE385O3TUlhJCGZ2XFjxsYN44fN3DzJnDsGN8QWLYM+Ppr/kmndLyAvz+NF6gujUz+AX5Rr6VLl8Le3h4zZ86Ej48PxGIxnjx5Ajs7O+zduxddunRRdzUJIUQpiQRITuaT/RMngNOn+cfexsZ8952QED7Zd3WlP2aEkOaN4/i1BJyd+bEBL1/yN0uOH+cbBJ9+yt9AsbYuHzg8YIDmjnFqaBrfF2bq1KmIiIgAYwxPnjzBoEGDcOnSJUr8iSDdvHlT3VUgKjR0bBgD/v4b+OUX4L33+O467u7Al1/yXXwWLADOnweePAEOHOD/mLm5UeIvRdeOcFFshKupxkZHh+/+s3gxEBvLr0AeEQG8/TYQHw+MGcOPKejaFZg3D4iMBAoK1F1r4RB8n/9Tp05Va47+q1evYv/+/Vi4cKHS/v0+Pj4NUT3BoT7/wlbTpdZJ42mI2Dx6VD5A98QJfuYdLS2gRw++K8+AAfwfMD29ev22TRJdO8JFsRGu5hqbR4/KxwscOyY/XkD6ZMDTk5+aVF3Uma8JPvkXiUTgOA7VrWbFc6X/5jgOZWVlDVlNpVJTU3Hs2DHk5OTAyckJAQEBEIvF1SqbkpKCU6dOobCwEJ07d4a/v3+1Bi1T8i9s9+/fF/TsC81ZfcQmJweIiSlP+G/c4Pd37swn+n5+gI8PLXtfG3TtCBfFRrgoNvxT11u3yscLnDzJd7E0MeHHC0gHDzs4NO6TVhrwW4n6+KGty+q+RUVF2LBhA5YvX46MjAx8+OGHCA0NrbRMSUkJ5s6di3Xr1sk1WiwsLBAaGorBgwerLJuXl4ePPvoI4eHhcvsdHBwQFhYGT0/PWr8Xon7N/ZewkNUmNmVlwJkz/FzVJ07wq+hKJPyc1gMGAEuW8H9cqN9p3dG1I1wUG+Gi2PAJfadO/DZ7dvnkCq+OF2jfXn68QFNe9VzwyX9qaqravveWLVvw1VdfIbPCKhNVNSQkEglGjx6NvXv3wsPDA5999hnMzMxw6tQprFq1CoGBgdi3bx+GDBmiULaoqAhDhgxBXFwcfH19MWPGDBgaGuLw4cNYt24dfH19cfLkSWoAEKJGL17wfzD27gUOHgSys/k/EgMGADNm8Hf3bW3VXUtCCCHKaGsDvXvz26JFQH4+P+GCtDEgvb/bpUt5Y8DHB1CypJTGEnzyr07bt29HVlYW/P39YWNjg02bNlVZZt26ddi7dy+6du2Ks2fPQu9/nXn9/f3Rr18/vPHGGxg/fjxu3bqF1q1by5VdtGgR4uLiEBAQgIiICFlD44033oC7uzumTp2KMWPGICkpqdrdhwghdZeby69KuW8ff5e/oABwcuJXoRwxgu/D30yWEiGEkCbF0BAYMoTfAH7lYel4gV27gJ9+Kh9gPHAgMHgw0L27Zk/GQH+uKvHee+8hKSkJUVFR8PLyqvL8ly9fIjg4GBzHYeXKlbLEX8rf3x/vv/8+nj59ipUrV8ody8jIwOrVqyESibB69WqFJwyTJ09G7969cefOnSq7HRHhCgkJUXcViAqvxubRI2DDBv4XfZs2wNixQFoa8NVXwPXr/JzTS5cCvXpR4t8Y6NoRLoqNcFFsas7CAvjgA/4JQHo6P3brp5/4NQVWrAB69uTXW5k3D7hwgR9ToGnoT1YlZsyYARcXl2qfHxkZiadPn8LGxgZ+fn5Kz5kyZQoAYOfOnXL7d+/ejbKyMnh7e6Njx46Vlg0LC6t2nYiwFBYWqrsKRIXCwkLcuQMsX84/DrayAmbN4vv1r1rFz9QTH88n/87O6q5t80PXjnBRbISLYlM30vECs2bxT36fPOGfCgwZAuzYAbz+OmBjA3z2GRAXx4/50gSU/Nej2NhYAMDAgQNVntO3b1/o6ekhPT0d6enpCmX9/f1VlpUei4+PV8vsRaTuvvnmG3VXgVTAGJCQACxcCOzZ8w0cHYHgYP7Oz7ZtQGYm/+h31ix+MBhRH7p2hItiI1wUm/qlrc2P61q3jp8+9ORJYNgwYOdOvluQjQ0QFAScPSvshgD1+a9HycnJAFDpAmM6OjpwdHTEtWvXkJycjPb/yyiqU7Zdu3YwNjbG8+fPcfv2bTjT7UdCaqy0lF8UZu9e/k5OejrQqhUQGAj88AMwaBDQooW6a0kIIcoxxvBS8hIlZSUqt5Z6LdHOuB20RZTmNRQtLaB/f35bvZpP+PfsAXbv5r+2sgLeeQcYORLo00dY3UPpp6IeZWRkAKh6ai0bGxtcu3YNWVlZcmU5jqtW2aSkJGRlZVHyT0g1FRUBR4+Wz9Dz9CnQrh0/WPettwBvb35AFyGk+SqVlFaaUAtleyl5Wa33I+JEaGvUFjYtbWBjwm/WJtayr61NrGEgbkJT2KiRlhY/I5CPD/B//wecO8c3BPbsAdauBSwt+dWHR44E+vblz1cnSv7r0fPnzwEAhoaGlZ4nPS49v65liebIzs7Ga6+9pu5qNAs5Ofxy7/v28Uu7FxbyffWnT+cTfk9P+dkaKDbCRvERrspiI2ESvCyr/C51vW2SupWXsLr309AR6UCsJa7RZig2rHGZipuulq7c19oibTwteoq0vDTcSLuBbC4bablpiL0fiwfPHqCMlXcbfq3Fa3yD4H+NA1lDoSXfOGit37pOayU1RyIRn+D37csPFD5/vrwh8PPP/NTQb78NuLurr44ak/xnZmZCW1sbpqamtSr/4MEDtG3btp5rJU96gVS1GnHFFYjroyzRHJMmTWqWS603lgcPgP37+Tv8MTF8F59evYDFi/m7/E5OqstSbISN4qM+eS/ycD3rOlKyUpCSmYKbT27iefFzWdL8z8//wGyqmdKEulRSWufvz4GDrrZutZNf6T4jsVGdkuqabjoiHcH9bR72zTC566ZUUooHzx4gLS8N9/PuIy03DWl5/Hbk7yO4n3cfRaVFsvMNdAwUnhZUbCRYGVlBS6Tm29gCJhLxYwG8vICVK/lJI/bsAcLDgfXr1VcvjUn+LSws0KlTJ1y/fh0A0LlzZwwbNgw//PBDtcovXrwYt2/fxoYNG+Dq6togdTQyMgIA5OfnV3qe9Lj0fOm/c3JyalWWaI7g4GB1V6HJuXmTv7u/dy//i1Vbm19Vd80aYPhwvt9ldVBshI3i0/DyXuQhJSuFT/QzU2T/fvD8AQC+G0mHVh3g0sYFFq0tIBbxSa/bNDe079S+wZJqSi5r79XrRlukzSfuLW2Uns8YQ3ZhNt8gkDYMctNw/9l9xD+IR/j1cDwteir3eu2M2yl9emBtYg1rE2vo6+g35FvUGCIRPzvQ66/zU4bu2AF8+KGaKsM0BMdxzNnZWe7rcePGVbt8t27dGMdx7JdffqnV9w8NDWUcx7GJEyeqPGfo0KGM4zi2Zs2aSl/L3d2dcRzHoqKiZPtcXV0Zx3Fs//79lZY1MTFhIpGI3bp1S+nxhIQEBoCZm5uzwMBAue31119ne/fulTs/KiqKBQYGKrzOzJkz2aZNmxReOzAwkGVlZcntX7x4MVu2bJncvrS0NBYYGMhu3Lght3/NmjVs3rx5cvsKCgpYYGAgi42NldsfFhbGJkyYoFC3UaNG0fto5u/j5MkbLCSEMTc3xgDGdHTWMAeHeey33xh7+lRz3kdTiQe9D816H7lFuezErRPM3cedjVwxkvlv92dt/9OWIRgM74ChK5jDGgc24o8R7OsTX7Pfr/3OBg0bxHbt2SWo98FY04iHpr2PZy+eseSMZDZt4TQ2cOxAtuDYAjZ6z2jmtdmLWS61ZHAEw0TwP0/BYGYrzJj9FHtm09+GfRb5GVt9fjXbd2Mfu/zoMhvxzgj2119/qeV9SDVGPMLCwmS5mK2tLXN3d2c+Pj4MAEtISFB4vYbGMaYZyxOIRCK5O/8ikQhjx47F9u3b5c6Lj4/H+fPn8cknn8j2lZSUwMjICKWlpTh37hx69epV4++/detWTJo0CRMmTMCWLVuUnvPll18iJCQEEydOxObNm5WeU1xcjJYtW6KkpAT//vsvLC0tAQCjR4/Grl278M0332DRokVKy6alpcHOzg76+vrIz89X+ngxMTERnp6eSEhIQLdu3Wr8PgkRqufPgb/+4u+WREcDurp8V57RowF/f0Cfbi4RIif3RS6uZ12v8k6+q5krXNu4wqWNC1zbuMLpNSfoaetV8eqEKFdSViLrWlTx6YG0q9H9vPsoLiuWnW8kNpLrWlRxzIGNiQ0sjSwh4gQ0VU49UWe+pjHdfqqjtLQU/fr1Q0lJCR49eoSlS5cCAC5evIiXL19CX18fHh4eDfb9+/Xrh5CQEBw/fhyMMaXJeUxMDIqLi9GhQwdZ4i8tu2vXLkRGRqpM/iMjIwEAvXv3Fly/QkIaQlkZP8/+jh18t57CQn5atc2b+SnUjI3VXUNC1E+a5KdkppT3zc9KwcPnDwHIJ/kTuk6gJJ80KLGWGHat7GDXyk7pcQmTILMgU65BIP332fSzCEsKQ15xnux8HZEO2pu0L28UGFvLDUxub9weutq6jfX2mgSNSv5LSkowZswY2aDXM2fOYMyYMQAAb29vzJgxA8XFfGtSuqT10qVLZQtoDRgwAGKxuMHq5+/vDzMzM6SnpyMiIgKBgYEK56z/3wiP0aNHy+0fOXIkgoKCEBcXh2vXrinM988Yw8aNGwFA9p6J5tm8eTMmT56s7moI3tWrfML/++/A48f8CosLF/JLrlcxG26tUWyEjeJTsyR/YteJjZbkU2yES4ixEXEiWBhawMLQAr3aKe+Jkfcij28UVHx6kJeGG1k3EPV3FB7lP5I738LQQn62oleeHpjomTTGW9MYGpX8l5WV4Y8//pB9nZqaitTUVACAtrY2ZsyYAQBo1aoVysrKsHz5clhaWuLPP/8EAHzYwCMrtLS0EBwcjJkzZ2LBggXw9fWVm7pz//79OHDgAFq3bo3PPvtMrmzr1q0RFBSE5cuXIygoCEePHoW2dnl41qxZgytXrsDJyQnjx49v0PdBGk5iYqLgfhELxcOHfLK/YweQlAS0acN36Rk3TnFazoZAsRG25hQfoSb5qjSn2GgaTY2NiZ4JOut1RmfzzkqPF5cWI/1ZusKg5LTcNFx6eAnpeely6yGY6JqonLHIpqUNzAzMmmTXIlU0KvnX1dVFeHg4GGMYNWoUvL29MXv2bIwaNUruPHNzc2zcuBGDBg3C3LlzUVZWBisrKwwbNqzB6zht2jQcO3YMe/fuRZ8+fTBv3jyYmZkhJiYGq1atgo6ODrZt24aWLVsqlA0ODkZsbCxiYmLg5+eH2bNnw8DAABEREdiwYQOMjIzw+++/yzUKiGb5+eef1V0FQcnP57vz7NgBnDjBL7Q1fDjw44/A4MGNu/AWxUbYmmJ8Kib5sll2BJzkq9IUY9NUNNXY6GrroqNpR3Q07aj0eJmkDI/zHyt9ehCTGoO0vDTkl5TPrqirpSvrWuTSxgV9rfvC29oblkaWSl9f0wk+i5RIJLJuPiKRCO+8847smI2NDd59912l5by9vbF69WpMnz4dADB37lzo1CGTqG4fe47jsHPnTsydOxfr1q2Te9pgYWGB0NBQDB48WGlZPT09HDlyBFOnTkV4eDjOnDkjO+bg4ICwsDAaxEs0XlkZP2B3xw5+AG9BAb8q4saNwLvvAkraxYRotKaS5BOiKbREWmhr3BZtjduid/veCscZY8h9kaswGDk1NxWH7xzG2vi1AIAOrTrA28Yb3tb81tG0Y5MYcyn45F9bW7vWH7SFhYXs3+bm5nWqx4cffljtbkNisRhr167FvHnzcPToUeTm5sLBwQFDhgypcsyBsbExdu3ahSVLluDUqVMoLCyEm5sbBg0a1CR+4EjzlZQEbN8OhIXxXXwcHYEvv+T78dvaqrt2hNQdJfmEaAaO49BKvxVa6bdCV4uuCscfPX+EM/fPIPZ+LGLvx2LblW1gYDA3MJc9FfC28Ya7ubtGrkMh+OQfqHrVW2Xi4+MxYcIEWbK9du3aRh8oa2Njg6lTp9aqrIuLC1xcXOq5RoQ0rkeP+GR/xw5+EG/r1uX9+Hv0aPh+/IQ0hNwXuQr98a9nXackn5AmwtLIEiNdR2Kk60gA/ADkc+nnZA2C+cfno7isGEZiI3i195I1CHq27akRi5oJPvk/ffo0AMDHxwclJSUYNWqUrDEQGxur0N8fAB4+fIgBAwbgxYsXCAsLQ3h4OPbs2YNLly6he/fujVp/QioaNkx+qfWmqKCAX3F3xw7g2DF+xd1hw4BvvwXeeANowAm36qQ5xEaTqSM+lORXD107wkWxqR8meiYIcAhAgEMAAOBF6QtcengJsWn8k4EV51Zg0clF0BHpoEfbHvC29kZf677o074PWum3UnPtFQk++e/bt6/s32VlZdizZ4/s67S0NKSlpSmUefbsGUxNTREeHo433ngDenp62LNnD9atW6dygS5CGsOsWbPUXYUGwRgQEwNs2wb8+Sc/kLdvX2D9emDkSKCV8H73KWiqsWkqGjI+lOTXDV07wkWxaRh62nroa90Xfa374kt8iTJJGZIzk2XdhLZf3Y6QsyHgwMHNzE3WTaivdV+0M26n7upDo1b47dixI+bOnQvGGGbOnImePXti4sSJYIzByckJvr6+EIlEMDc3R0JCAqysrAAAL1++hLm5ObS0tJCVlaXmd9KwaIVf0piePOET/o0bgdu3gY4d+S49Y8cC9vbqrh0hiiRMgmsZ13Dsn2OITo3GtYxrSpN8WvGWEFJbjDHcy70nezIQez8Wt5/cBgDYtrSFt7U3rAut8cPYH2iF36poa2tj2rRpAICZM2fC0dFR9nVFrVq1kiX+AKCjo4P/b+/e46Kq8/+Bv84Mw00uggR45aJyUzEvm4EX1EBXLFMs01ozL9VamqVt+t22lV9qZmu25WZqubZmeW3DO4K6qJl5QUPwhspFvIEoKPeB4fP7Y5rJaQbkPmfg9dzHeSxzPp8z855598H3HD7nc0JCQrBnzx6cPn26Ue/yS9TcCQH89BOwciWwZQtQWaldpefLL4GBAzmPn+Qn614W4tPiEZ8Wj/1p+3G7+DbsrOww0Gsgz+QTUYOTJAm+Lr7wdfHFpEe1i8VkF2bjSNYR/ReC9afWmy0+iyr+a8rUHzN69eqFPXv24NixYyz+ierg3j1g/Xpt0Z+SAnTurJ3H/9JLgLu7uaMj+s290ntIyEjQF/ypd1IhQULfdn0xrfc0RPhGILRjKGysbMwdKhG1EB4OHogKjEJUYBQA4PDPhzFo1SCzxGKxxf+kSZPQv39/o/3l5eUml8Ts1q0bAOD06dONHhtRVWJiYjB69Ghzh1ErJ09qC/4NG4CyMu1NuJYtA554AlA0oxsiWmJuWpLq8lOuKcex68cQf0Vb7B+/fhwaoYGviy/CfcKxaOgiDPUZClc71yaOumXg2JEv5ka+Wlm3MttrW1Txf+HCBSiVSkiSBCEE1q9fj9dffx2SJEGpVEKlUsHJyQne3t7o0qULQkJCEBYWBj8/P3Tr1g1TpkzB3/72N3O/DWrBNmzYYBG/iIuKtMX+ypVAYiLQsSMwbx4wdSrwwIy6ZsVSctNSPZgfIQTO557HvrR9iE+LR0JGAgrVhXCxdcETvk/g856fI6JzBHxdeOFJU+DYkS/mhkyxqAt+60KSJPj5+WHy5MmYNm0aXF2b95kfXvBL9ZGcrL1495tvgIICIDIS+POfgREjAKXl3ceEmpFbhbewP20/4tPisS9tH64XXIe10hr9O/ZHhG8Ewn3D0bttb4u84Q4RtTzmrNcs5sx/Tk5OlW0ajQZFRUUoLi5GQUEBrly5gsuXLyMpKQn79u3DxYsXMW/ePCxcuBBHjx7VTwEiIqC0VHvh7sqV2gt5PT2BN94Apk0DvLzMHR21VEXqIhy+elg/lSc5JxkAEOwRjPHdxyPcNxwDOw0065/OiYgskcUU/25ubjXuGxISov+5rKwM27ZtwyeffIJp06ax8Cf6VWqq9iz/118Dd+8C4eHA1q3aG3KpVOaOjloaTaUGiTcT9VN5fsr6CWqNGu0d2yOicwTm9p+LcN9weDh4mDtUIiKLZjHFf13Z2Nhg3LhxJu8ETNTSqNXAtm3as/wHDgBt2gBTpgCvvAJ07Wru6KiluXL3in4az4H0A8grzYODtQOGeA/B0oilCPcNR4BbgMlFHIiIqG6a0VodRPI3efJks7xuTo52Wc5OnYBx44DycuDbb4Fr14B//IOFP2C+3LQkd0vu1wsUVgAAIABJREFUYsvZLXh1x6vw/dQXXZZ3wYzdM3Cz8Cbe6PcGfpz8I+6+cxfbJ2zHzH4zEfhIoL7wZ37ki7mRL+aGTLGYM/+TJ09G//79MW3aNJPtN27cqPZ4FxcX2NnZNUZoRDU2bNiwJn29pCTg00+1hb6VFTBpEvD66wBnvxlr6ty0BGUVZTiSdUQ/lSfxRiIEBPzb+GNk15GI6ByBMK8wONs6P/S5mB/5Ym7ki7khUyxqtZ8//elPWLduXZXt1f1pWJIkLFq0CHPnzm2sEGWBq/2QRgPs2gX885/A//6nXaZz5kztBbwuLuaOjpqzSlGJ5Oxk/VSeQ5mHUFJRgkfsH0G4b7h+VZ6Ozh3NHSoRkVlxtZ8GUt33GCEEvvjiC4sp/jMyMhAfH4+8vDz4+/tjxIgRsLa2NndYJGMFBcDatcBnnwFXrgChocDmzcCYMdqz/kSN4dr9a/oVefan70dOUQ5srWwxyGsQ3h/yPiJ8I9DDowcUEmeZEhHJQbMqCbp27YqffvrJ5JeA0aNH46effkJ2djY8PBp/tYjBgwfj0KFDVbbb2NigpKTEaL9arcacOXOwYsUKg/fh6emJtWvXYvjw4Y0SL1mu9HRg+XJgzRqguFg7p/+774DHHjN3ZNQc3S+7j4SMBH3Bf/HORUiQ0Lttb0x5dAoiOkcgtGMobK1szR0qERGZYHHF/7p167B8+XKDKT7Hjx8HACiVSrRp08bkcYGBgejTp0+1fx1oDAMGDICtrfE/gqbO4ldWVmLChAn44Ycf0KtXL8yePRvu7u44ePAgPvnkEzz11FOIiYlBZGRkU4ROjeDHH3/EgAED6v08QgCHD2un9mzbBrRuDcyYAbz2GtC+fQME2gI1VG6ao/zSfGy/uB2bz25G3JU4lFeWw7u1NyJ8I7BgyAIM9RmKNvamf/c2FOZHvpgb+WJuyBSLK/5v3ryJxMRE/WNT8/wXLVpksH/o0KH48ssvmyS+31u/fj06depUo74rVqzADz/8gEcffRRHjhzRf2mIiIhAWFgY/vjHP+LFF1/ExYsXq/ySQ/L20Ucf1esXcVkZsHGj9iLe06eBoCDtsp0vvADY2zdgoC1QfXPT3Nwrvact+M9pC361Ro3+HfvjHxH/wJN+T6Kza+cmjYf5kS/mRr6YGzLF4op/nR07dmDLli345ptvjNree+89g8cffvghHn/88aYKrU7Ky8sRHR0NSZKwdOlSo78WREREYPz48diwYQOWLl2KxYsXmylSqo+NGzfW6bjcXGDFCu2WnQ2MGAHs3QtERABcAr1h1DU3zcn9svv6M/x7r+yFWqNGaMdQfBT+EcYGjUUHpw5mi435kS/mRr6YGzLFYq/AGjlyJAICAqps79atG6ZMmdKEEdVPbGws7t69Cy8vLwwdOtRkH90ypxs2bGjK0KgB2dfy9Hx6unalnk6dgA8/BKKigPPngd27gWHDWPg3pNrmprm4X3Yf3575Fk9vfBru/3DHxB8mIrc4F0vCl+Dqm1dxZMoRzHp8llkLf6Dl5scSMDfyxdyQKbI/83/o0KE6zdOPiIjAsmXL8O9//7sRomp4hw8fBgCEh4dX2Ud3/UBWVhaysrLQsSOXy2uuTp0CPvoI2LIFcHUF5s3Tzud3czN3ZNQcFJQVYEfqDmw+uxmxl2NRpinD4x0ex+InFuOZoGe4FCcRUTMm++J/8ODB+vn7FnJLAgM1jTklJQUAEBwcXGUflUoFPz8/nDlzBmfPnmXx38wIAezbpy369+0DfHy0q/i89BLn81P9FZQVYGfqTmw+txl7Lu1BmaYM/dr3wwdPfIBngp5BJ+eaXZtERESWzSKm/Vhi0a/j6+sLR0dH+Pr6IioqCuvXr0dFRYVRv+zsbAB46MXBXl5eAICcnJyGD5Ya3V/+8hejfRUVwIYNQO/e2qk8eXnApk1Aaqr2bD8L/6ZhKjeWrlBdiI0pGxG1KQruS93x/H+fx42CG1g0dBEyZmXg52k/Y3bIbIso/JtjfpoL5ka+mBsyRfZn/m/cuAEAaNeuXbV38JWbvn37wtraGqWlpcjLy8OVK1cQExODmJgYfPzxx9izZw88PT31/QsKCgAADg4O1T6vrl3XnyzLg1/uioqAf/8b+PhjIDMTGD4c2L8fGDKEc/nNoaarcsldoboQu1J3YfO5zdh9aTdKK0rxWPvHsGDIAjwT9Ay8W3ubO8Q6aS75aY6YG/libsgU2Rf/DxbItXHt2jUcPHgQAJCWloa8vDy4uLg0ZGjVWrp0qcFjtVqNnTt3Yvbs2UhKSsKzzz6rn+cPoMZTm3TtlvRFiH4zc+ZM3Lmjnc6zfDlw7x4wfrx2rf6ePc0dXcs2c+ZMc4dQZ0XqIuy6tAubz2oL/pKKEvyh3R/w/uD38UzQM/Bx8TF3iPVmyflp7pgb+WJuyBTZF/9VKS4uhlqtrrJ969at2Lp1KwBg9erVGDVqlFlvjmVtbY2oqCh069YNwcHBOHLkiMHNNxwdHQEAhYWF1T6Prl3XnyzHzZvAsmXAF18AlZXAyy8Ds2cDv87kIqqVInURdl/ajc3nNmNX6i6UVJSgb7u+iB4cjWeDnm0WBT8RETU8i5jzb4qjoyOio6NNtj3//PMG2wsvvID2Mrntqb+/P0aOHAkABmf+dX/huHr1arXH69o9PDyq7RcZGYlRo0YZbCEhIYiJiTHoFxcXh1GjRhkd//rrr2PNmjUG+06dOoVRo0YhNzfXYP/8+fOxZMkSozhHjRqFCxcuGOxfvny50RzE4uJijBo1Cj/++KPB/g0bNmDy5MlGsT333HMW9T4++2wDAgImw8cHWL0amDVLO83n1q3ncPq05byP5pIPS34fJeUl2HpuK8ZtGQfXia4Y96dxSM9Lx/yw+bjyxhWcePkEEj9LRNLBJFm/jwdZcj74Pvg++D74PmryPjZs2KCvxXx8fPDoo4/irbfeMnqeJiMshCRJYuLEiWLx4sVCkiSDTdceGBho5ihrZt68eUKSJDFnzhyjfVOmTKnyuNLSUmFraysUCoW4ceOGyT6JiYkCgEhMTGzwuKl2zp0T4sUXhVAqhXBzE2LRIiGOHTtv7rCoCufPyzM3FZoKsT9tv5gSM0U4LXYSiIbovaq3WHx4sbh857K5w2sycs0PMTdyxtzIlznrNYs78//OO++guLhYv5WUlOjbSktLcerUqWo3OSgqKgIAODs76/eFhYUBAPbt21flvP+EhASUlZXB19cXbdu2bfxAqU5OnwaeeQbo1k17Ae/HHwMZGcBf/wosXPiOucOjKrzzjnxyI4TAiesnMHvvbHT6Zyc8se4JJGQm4M1+b+LijItIfCUR8wbMQ2fXzuYOtcnIKT9kiLmRL+aGTLG4Of8KhQK2trYm2zIyMvCHP/zBqHiWJAlCCEiSBI1G0+gxpqamQq1Ww9/fHyqVyqh9//79AIA+ffro90VERMDd3R1ZWVnYuXMnnnrqKaPjvvjiCwDAhAkTGilyqo/jx4EFC4CdOwFfX2DVKuDFFwEbm9/6/Otf/zJfgFQtc+dGCIEz2Wew+exmbDy7EWl5aXBv5Y5xQePwQvAL6Ne+X4u+0N/c+aGqMTfyxdyQKRZX/FelJstZNdU/nJMnT8bRo0fx3XffYfz48QZta9aswfnz59G2bVsMGzZMv1+pVCI6OhqvvfYa5s2bhyFDhhgs+7lt2zZs374dbdq0wezZs5vkfVDN/PSTtuiPjQX8/YFvvtGu4GNlYnRx2TX5MkduhBBIyk7C1nNbseXcFqTeSYWLrQvGBo7F6idXI8w7DFaKZvNrul44duSLuZEv5oZMsZh/VVavXo2uXbtW2Z6RkdF0wTzEm2++iaNHj2Lq1Kk4efIkwsLCYGVlhV27dmHlypWQJAmffPIJrH5XHb766quIj4/HDz/8gP79++Ptt9+Gu7s7EhIS8Mknn0ClUuE///kPWrdubaZ3Rg86dAh4/33t1J5u3bQ36nr2WUCpNHdkJGcVlRX48eqPiLkQg5gLMci8l4nWtq0xJmAM/jn8n3jC9wlYK63NHSYRETVTkqhqgjnVy+rVqzFnzhz9/H4dJycnLF26FNOmTTN5nFqtxpw5c7BixQqD6Uuenp5Yu3Ythg8fXu3rnjp1Cn369EFiYiJ69+5d/zdCRg4eBKKjgYQEIDgY+PvfgTFjAIXFXUFDTaVIXYS4K3GIuRiDnak7cbfkLto7tsfT/k9jdMBohHmHseAnImpBzFmvWcyZf0vzyiuvYPz48YiPj0daWhoAwMfHBxEREQYX+v6etbU1li9fjrfffhtxcXHIz89H165dERkZCWtrFgfmdOgQMH++tuh/9FHghx+AUaNqV/QvWbIEc+fObbQYqe4aOje3i25jR+oOxFyIQXxaPEorStHdvTum952O0QGj0adtnxY9h7+2OHbki7mRL+aGTGHx34icnJwwduzYOh3r5eWFl19+uYEjoro4fFh7pv/AAW3RHxOjLfrrUrcVFxc3eHzUMOqbGyEEzueex55Le7Dt4jYcyToCIQT6d+qPhUMW4umAp9HFtUsDRdvycOzIF3MjX8wNmcJpP80Mp/00nKNHtVN69u0DevbUfgF4+um6Ff3UPOWX5mN/2n7EXo7F3it7kXU/C7ZWtojwjcDogNF40u9JuLdyN3eYREQkM5z2QyQjJ09qi/49e4Du3YHvvwdGj+acfgI0lRok3kzE3st7EXslFseuHYNGaBDgFoCxgWMxvMtwDPIaBHuVvblDJSIiMonFP9GvzpzRFv3btgEBAcDGjdrVe1j0t2w3C25i75W92HtlL+KvxONOyR042Tgh3DccK0auwPDOw+HV2svcYRIREdUIi39q8S5e1E7p2bQJ8PEB1q0Dnn++cZbszM3NhZubW8M/MdWbLjfZhdk4mHkQCRkJSMhIwPnc85AgoU+7PpjedzqGdxmOfu37QaU0voEfNR6OHflibuSLuSFTeE6TWqyrV4GpU4GgIODHH7V35L1wAZg4sfHW6p8yZUrjPDHV2a3CW9iUsgl9R/ZF4OeB8PzYE89tfQ4H0g9gYKeB+C7qO2S/nY0TL5/AgqELMKDTABb+ZsCxI1/MjXwxN2QKz/xTi5OTA3zwAfDFF4CzM7BsGfDqq4CtbeO/dnR0dOO/CFXrZsFNHMo8pD2zn5mAC7kXAABeg70Q5hWG+WHzEeYVhraObc0cKT2IY0e+mBv5Ym7IFBb/1GLcuwd8/LG22FcqtfP7Z80CHByaLgauwNS0yjXlOJN9BkevHcVPWT/h6LWjyMjPAAD4t/HHYO/BLPYtBMeOfDE38sXckCks/qnZKy3VnuVftAgoKgLeeAOYOxdwdTV3ZNTQbhfdxs/XftYX+sevH0dJRQlUChX6tOuDMQFjENIhBAM6DWCxT0RELRKLf2q2NBrg22+B994Drl8HpkzR3qG3fXtzR0YNobi8GL/c+gWJNxJx4sYJHL12FJfvXgYAeDp4IrRjKBYMWYCQjiHo3bY3bK2aYF4XERGRzLH4p2ZHCO0a/fPmAcnJQFQUEBcH+PubOzJgzZo1mDp1qrnDsDgl5SVIyk5C4o1EnLx5EidvnMS52+dQKSphrbRGsEcwRnQZgZAOIQjpGAIvZy9ItbwbG3Mjb8yPfDE38sXckCks/qlZSUwE/vIX4H//AwYNAn7+GejXz9xR/ebUqVP8RfwQ98vuIzk7WV/sJ95MREpOCjRCA5VChWCPYIR2CMUbj72Bvu36opt7N1grrev9usyNvDE/8sXcyBdzQ6ZIQghh7iCo4ZjzdtHmdPUq8O67wPr12qU7P/wQePJJoJYnf6kJVYpKXLl7BWeyzyApOwlnss/gTPYZpOenAwCsFFbo4d4Dfdr2Qd92fdG3XV90d+8OGysbM0dORERUP+as13jmnyza3bvaQv+zz4DWrYHVq4HJkwEr/pctG0IIZBdl49ztczh3+5y+yE/OSUZxeTEAwL2VO3p69ERUYBR6evREsEcwAh8JbJAz+kRERPQblkhkkfLzgU8/1S7bqdFoV+95+23A0dHckbVcQghcu39NX+Sfu30O53LP4fzt88grzQMAqBQqBD4SiJ4ePfFM0DP6Qt/DwcPM0RMREbUMLP5lLCcnB7t370Z2dja8vb0xcuRIODTlovQylJ2tLfo//xxQq4Hp07UX9rq7mzuylqNIXYTLdy8j9U6qdrubigu5F3Du9jkUqgsBALZWtgh0C0TgI4GI7BKJoEeCEPRIEDq7doaVgr92iIiIzIX/CsuQEAKLFi3C+++/j4qKCv1+JycnLF++HBMnTjRjdOaRnKyd2vPNN4BKBfz5z8CcOYCnp7kjq51Ro0Zh+/bt5g7jodQaNdLz0nHp7qXfivxft+sF1/X9XGxd4NfGDwFuARgbOFZf5Hs5e0GpUJrxHdSepeSmpWJ+5Iu5kS/mhkxh8S9Ds2fPxqefforOnTtj7ty58PHxwcmTJ/HRRx9h0qRJKCkpwSuvvGLuMBtdWRnwww/aG3QdOgS0awdERwOvvgq4uJg7urqZMWOGuUMAoP2CmVeah7S8NKTlpeHK3Svan/O1j6/eu4pKUQkAsFfZo6trV/i18UNox1D9z35t/NDGvo2Z30nDkUtuyDTmR76YG/libsgUrvYjM7t27cJTTz2FDh064NSpU3Bzc9O3paSk4LHHHkNlZSXOnDkDPz8/o+MtfbUfIYDTp4H//Ee7cs/du0BYmHZ6T1SU9qw/1cz9svvIzM9E5r1M/f+n56fri/17Zff0fV1sXeDr4muw6Yr8do7tar1mPhEREVWNq/2Q3v/93/8BAKKjow0KfwDo3r073nrrLSxevBjz58/Hhg0bzBFio0hNBTZtAjZuBM6dAzw8tHfknToVCAgwd3TyI4RATlEOrt67alDcP/hzfmm+vr+VwgodnTrC18UXfdr2wbigcQaFvoudhf4phYiIiGqFxb+MJCcnIyUlBa1atcKECRNM9pk2bRoWL16MHTt2oKioCK1atWriKBuG7gz/tm3aqT3JyYCDA/D008DSpUBERMtdrlNTqUF2UTau3b+G6/ev49r9a9qfCwx/Lq0o1R/TStUKXq294OXshZAOIRjffTy8nL30+zwdPC1uDj4RERE1vBZaXsnT4cOHAQAhISGws7Mz2cfHxwc+Pj5IT0/HqVOnMHDgwKYMsV7u3gX27wdiY4E9e4CbN7Vr848cCfy//wf88Y9AFW+7WRBCYP3m9egztA9uFtzErcJbuFl406i4v1lwExqh0R9no7RBe6f26ODUAe0d2+Ox9o+hvWN7fWHfybkTXO1cOTWnnmJiYjB69Ghzh0FVYH7ki7mRL+aGTGHxLyMpKSkAgODg4Gr79ejRA+np6Th79qysi/87d4CffgIOHgT+9z/tmX4hgMBAYMIE7R14Bwyw7Hn8QggUqguRW5yLnKIc3CzUFvW67feP1avUwLTfjneycdIX9YFugQj3CUcHpw7afb8W/G3s2rCwbwJLlizhP5IyxvzIF3MjX8wNmcLiX0ays7MBAJ06daq2n5eXFwDtfQDkQq0GUlKAEyeA48eBo0eB8+e1bR06AIMHAzNnAuHh2sdyVVxejNzi3Fpt5ZXlBs+hlJTwcPCAp4Mn2jq0RQ/3HhjmOwyeDp74ev/X+HTKp/B08IRHKw+0srbMaVvN0SOPPGLuEKgazI98MTfyxdyQKSz+ZaSgoAAAHnojL127rn9TEgK4fl17UW5KinauflIScPas9guAUgn06KFdoef//k97Zt/bG2iqE9eVohKF6kLcK72H+2X3ca/sHu6V3sO9sl8f//rzvdJ7uFNyx6iQL6koMXpOG6UNHmn1CNzs3eBm7wYPBw90e6Sb/vGDW1vHtnCzd4NCUpiMb6/jXoR2DG3sj4GIiIjIJBb/MqKb2vGw1Vd17Y01FaSwELh2Dbh6FcjIANLTgStXgMuXgUuXtO2Adn5+UBDQu7d2ZZ4+fYCePQF7+5q9jhACpRWlKC4vrtFWoC4wLOQfKOx1xf79svsQMP35SZDgZOMEZ1tnONk46Qv2zi6dTRbyus1eZc9pN0RERNQssPiXEUdHRwBAoa66roKuXdfflB0/n8XpnHKoKyqhLq9EWZlAaVkliku0W2GRdisoELh3vxL59yuRf68SeXmVKC2rBKRKQFkOSVkOl0fUaOOuhluYGmHPlsPFTQ2XNmq0cipHRaUaao0aZzVq/HK7HOq92sflleVQa9QoqyhDSUVJlQV9TdkobeBo4whnG2c42zrD2UZbwHd27azd9+tjXZuuwH+wfyvrVlWekSciIiJqCVj8y4inpycA4OrVq9X207V7eHgYtZWUaKetRO9/EUiq4Qvb/boZPx0EgLsA7imUyFKrYHXTCla3rKBSqqBSqKBSqmCl+O2xlcJK+/jXNpVChdZWreFp5QlbK1vY2tnC1tFW+/PvNhsrG9hZ2ZncX6uiXf3rBqAMZcj59X9ycPz4cZw6dcrcYZAJzI28MT/yxdzIF3MjX+d/vTBSV7c1JRb/MtKjRw8AwC+//FJtv6SkJIP+D8rIyND+8N8GDQ2aX/9H9denTx9zh0BVYG7kjfmRL+ZGvpgbecvIyED//v2b9DUl8bAJ5tRkLly4gKCgINjZ2eHWrVsmp/VcvHgRgYGBcHBwQE5ODmxtbQ3ac3NzsXfvXnh7e1d5rwAiIiIiMp+SkhJkZGRg+PDhcHNza9LX5pl/GQkICECvXr1w+vRpfP3115g5c6ZRny+++AIAMHr0aKPCHwDc3NzwwgsvNHqsRERERFR3TX3GX4dn/mUmNjYWkZGRcHd3x+nTp9G2bVt928mTJxEaGgqlUonk5GR06dLFjJESERERkaXh0icy88c//hGzZs1CTk4OQkNDsXr1asTHx+ODDz5AeHg4NBoNPv30Uxb+RERERFRrPPMvUwsXLsSCBQtQXv7b3WOdnJywfPlyTJw40eQxOTk52L17N7Kzs+Ht7Y2RI0c+9IZhZF4ZGRmIj49HXl4e/P39MWLECFhbW5s7rBahPp/92bNncfDgQRQXF6NHjx6IiIiAQsFzKXLB/NRMcXEx9u3bh9TUVKjVari5uaFfv37o2bPnQ4/l+Gl89clPfTA/D5eZmYmEhATcuHEDSqUSnTp1wpAhQ0yuwvh7shg7gmQrOztbrF27VixZskRs3LhRFBYWmuxXWVkpFixYIFQqlZAkSb85OzuLdevWNXHULUtYWJjBZ/77zdbW1uRxZWVlYsaMGUKhUBj0b9u2rYiNjW3id2G5iouLxbJly4Snp6eQJEm89NJLDz2mPp99fn6+GDdunFGe/fz8xMmTJxvqbTUbdcmPl5dXtWMqICCgymOZn5r773//K9q0aWPyMx48eLC4ffu2yeM4fppGXfPD8dO4KioqxPTp043++5ckSVhbW4vFixdXeaycxg6L/2bgzTffFJIkiS5duogvv/xS7Nu3T3z44YfC1dVVSJIkVq1aZe4Qmy1d8T9w4EARERFhtI0cOdLoGI1GI6KiooQkSaJ3795i/fr1Ii4uTrz77rvC3t5eqFQqsWvXLjO8G8uyZs0a4eHhYfCLcPLkydUeU5/Pvri4WISGhgpJksTQoUPFli1bxJ49e8TMmTOFUqkUjo6O/AfyAXXJjxC/FS+mxlNERISYOnWqyeOYn5o7duyYsLKyEra2tmLu3Lli586dYteuXeK9994TrVu3FpIkiSeffNLoOI6fplHX/AjB8dPY5s+fLyRJEu3btxfLli0T8fHxIiYmRrz22mtCqVQKSZLEzp07jY6T29hh8W/hdu7cKSRJEh07djQ6E5CcnCzs7OyEjY2NuHjxopkibN50xX9mZmaNj1m+fLmQJEn06tVLlJSUGLTFxcUJhUIh2rRpI3Jzcxs63GYlLCxMKBQKMWzYMPHyyy/XqLisz2c/Z84cIUmSiIyMFJWVlQZtX331lf4sTFlZWf3fXDNQl/wIoS1eFApFrV+P+am5iRMnCoVCIZYsWWLUdvz4caFUKoVCoRCXLl0yaOP4aRp1zY8QHD+NrX379kKhUIiff/7ZqG369On6z/D35DZ2WPxbuB49eghJksSaNWtMtv/1r38VkiSJ8ePHN3FkLUNti3+1Wi3atGkjFAqF2L9/v8k+zz//vJAkScybN68hQ212VqxYIc6ePSuEEGLt2rUPLS7r89nfunVLWFlZCaVSafIfXCGE/szMypUr6/iOmpfa5kenLsUL81M7KSkp4siRIyI/P99ke/fu3YUkSWLr1q36fRw/Tacu+dHh+Glcu3fvFrt27TIqwoUQYseOHUKSJBEYGGiwX45jh1dwWLDk5GSkpKSgVatWmDBhgsk+06ZNAwDs2LEDRUVFTRkemRAbG4u7d+/Cy8sLQ4cONdlHl7MNGzY0ZWgWZ/r06QgKCqpx//p89ps3b4ZGo8HAgQOrXGlLd+x3331X45ias9rmpz6Yn9rp1q0bQkND4ezsbLK9rKwMAGBjY6Pfx/HTdOqSn/pgfmpuxIgRiIyMhCRJRm15eXkAgA4dOhjsl+PYYfFvwQ4fPgwACAkJqfJuvj4+PvDx8UFxcTFOnTrVlOGRCbqchYeHV9lnwIABsLW1RVZWFrKyspoqtGavPp+97tiIiIgqj9W1HT9+HBqNpiFCphpifhrOqVOncPnyZSgUCvTo0UO/n+NHHqrKT30wP/VXXl6O5cuXA4DRyVg5jh0W/xYsJSUFABAcHFxtP90viLNnzzZ6TC2VqOGKuTXJmUqlgp+fH4QQzFkDqu1nr+tf02M7dOgAJycnqNVqpKamNlDUVBPMT8PIzs7WFy7Dhg2Dl5eXvo3jx/yqy099MD/1k5WVhdGjR+PkyZOYNGkSJk+ebNAux7HD4t+CZWdnAwA6depUbT/dL4icnJxGj6ml8vX1haOjI3x9fREVFYX169ejoqLCqB9zZj61/exv375tcKwkSTU6VghhcCzMFSpjAAAO7UlEQVTVnhACCoUCTk5O8Pf3x/PPP49t27ZV2Z/5qb+MjAwMGjQIly5dgre3N7788kuDdo4f83pYfh7E8dP43nnnHTzxxBMIDg6Gt7c3zp49i6+++gpr16416ivHsWNVo14kSwUFBQDw0Bt56dp1/anh9O3bF9bW1igtLUVeXh6uXLmCmJgYxMTE4OOPP8aePXvg6emp78+cmU99PnvmrekMHDgQ2dnZKCkpQW5uLtLS0nDp0iVs3LgRQ4cOxbZt29CqVSuDY5if+jl69CjGjBmDnJwc9OzZE7t27UK7du0M+nD8mE9N8qPD8dM0Tp8+jYSEBP3j69ev4/vvv0dwcDD69u1r0FeOY4dn/i2Y7oKTh0050bWbukCF6mfp0qWIi4vDoUOHkJycjPz8fGzduhWdOnVCUlISnn32WYP+zJn51OezZ96azjfffIO4uDgcPnwY58+fx927d7FmzRq4urriwIED+POf/2x0DPNTd//+978xePBg5OTk4Nlnn8WRI0dMFpYcP+ZR0/zocPw0jfj4eGg0GuTl5eHAgQMYPXo09uzZg9DQUOzcudOgrxzHDot/C+bo6AgAKCwsrLafrl3XnxqPtbU1oqKisHfvXqhUKhw5cgQ//vijvp05M5/6fPbMm/m0atUKkydPxpYtWwBoV7T4/YXwzE/dfPjhh5g2bRo0Gg0WL16MTZs2wd7e3mRfjp+mV5v8VIXjp3E5OTkhLCwMW7ZswVtvvYWKigrMmjXLYNqvHMcOi38LpptOcvXq1Wr76do9PDwaPSbS8vf3x8iRIwH8drU+wJyZU30+e09PTwghkJmZ+dBjJUli3hrBkCFD8Oijj0IIYfCFGmB+6mLr1q3461//Cmtra2zZsgVz586ttj/HT9OqbX4ehuOn8S1cuBCurq5IT0/HoUOH9PvlOHZY/Fsw3So+v/zyS7X9kpKSDPpT0/D39wcA3LlzR7+vJjkrKyvDxYsXIUkSc9aA6vPZ637WjSVTMjMzcf/+fdja2qJr164NFDU9yNSYApif2ioqKsLrr78OSZKwcuVKjBkz5qHHcPw0nbrkpyY4fhqXnZ0dBg4cCAC4fPmyfr8cxw6LfwsWFhYGAPj555+rvMjj4sWLyMzMhIODA3r16tWU4bV4upuqPXijFl3O9u3bV+UcvoSEBJSVlcHX1xdt27Zt/EBbiPp89rpjY2Njq3x+XVtISAjnxDYSU2MKYH5qa+XKlbh9+zbGjBmDl156qUbHcPw0nbrkpyY4fhqfbmwolUr9PlmOnRrfC5hkqXfv3kKSJPHZZ5+ZbJ81a5aQJElMnDixiSNr/i5evCiSk5OFWq022R4UFCQkSRK7du3S76uoqBAeHh5CkiSxfft2k8c9/fTTQpIk8d577zVK3M3R2rVrhSRJYvLkyVX2qc9nn5ubK2xsbIQkSSIpKcnouMrKStGrVy8hSZJYs2ZN/d5MM1ST/AghREpKikhJSTHZVlJSIlxdXYVCoRBnz541aGN+asff318oFApx4sSJGh/D8dN06pIfITh+GltpaanYsWOH2L17t8n2yspK0blzZyFJkjh27Jh+vxzHDot/C7dnzx4hSZLw8PAQN27cMGg7ceKEUKlUwtbWVly6dMlMETZfoaGhQpIksWHDBqO2r776SkiSJNq1ayfKy8sN2r744gshSZIICgoSBQUFBm0xMTFCkiTh5uYm8vLyGjX+5qSmxWV9Pvu5c+cKSZLEkCFDjHL6z3/+U0iSJAICAozaqOb5adeunZAkSRw9etSo7W9/+5uQJEn07dvX5LHMT83k5+cLSZKEtbV1lScuqsLx0/jqkx+On8ZVVFQkVCqVkCRJXLhwwah9zZo1QpIk4e/vb9Qmt7HD4r8ZePPNN4UkScLb21usWrVKxMXFiUWLFglnZ2ehUCjEqlWrzB1is7R582YhSZKwt7cXc+bMEdu3bxe7d+8Wr7/+ulAqlUKhUIhNmzYZHVdZWSmioqKEJEkiODhYrFu3TsTGxop58+YJGxsbYW1tbfDXAnq4mhaX9fnsS0pK9F/4Bg4cKDZv3ix27dolpk+fLiRJEk5OTiIxMbEx3p7Fq2l+PvroIyFJknB1dRXR0dFi9+7dYvv27eKFF14QkiQJlUoljhw5YvJY5qdmMjIyhCRJwsrKSjzxxBPVbnPmzDE4luOn8dUnPxw/je/FF1/Un9hbvHix2Llzp9izZ4+YNWuWsLKyEtbW1iIhIcHoOLmNHRb/zcSCBQuEtbW1kCRJvzk7O4t169aZO7RmbdWqVcLBwcHgc9d99l9++WWVx5WVlYkZM2YIhUJhcFzbtm1FbGxsE76D5uHrr7+uUXEpRP0++3v37olx48YZ5dvPz0+cPHmyod5Os1Ob/MyfP9/od5kkScLT07PKP5nrMD8Pl56eLiRJEgqF4qHbkCFDjI7n+Glc9c0Px0/jKiws1E/R+f3m4+Mj9u3bV+Wxcho7khAPuXMAWYycnBzs3r0bOTk58PLywpNPPml0Jz9qePfv30d8fDzS0tIAAD4+PoiIiDC6qMqUzMxMxMXFIT8/H127dkVkZCSsra0bO2RC/T77c+fO4eDBgyguLkb37t0xbNgwXgTXgHJycrBv3z5kZWXBysoKfn5+CA8Ph52dXY2OZ34aH8ePfHH8NL5z587hyJEjyM3Nhb29PYKDgzFo0CCDC32rIoexw+KfiIiIiKiF4FKfREREREQtBIt/IiIiIqIWgsU/EREREVELweKfiIiIiKiFYPFPRERERNRCsPgnIiIiImohWPwTEREREbUQLP6JiIiIiFoIFv9ERERERC0Ei38iImo0X3/9NRQKBf7whz+YOxQiIgKLfyIiqgWNRoOTJ0+a3MrKyoz6S5Jk8P/VmTFjBhQKRZXb9u3bAQCDBw+utt/Vq1cb9k0TETUjVuYOgIiILEdeXh4ee+wxk20XLlyAn5+fwT4hRK1fIzg4GMHBwfrHx44dw6VLl4z6RUREwMPDQ/9448aN0Gg0tX49IqKWhMU/ERHVmo2NDdq2bQsAuHnzJtRqNYQQeOmll7Bu3Tqj/idPnoRC8dsfm728vJCenm7yuQcOHIgZM2YA0H55iI6ONln8/+lPf9J/ERFC4Pvvv2fxT0T0ECz+iYio1kJCQnDgwAEA2mk4hw8fBgC0a9cOAQEB+n75+fm4desWbG1t4e3trd/fvn37Kp/7888/x+eff/7QGCZNmmS0rybTi4iIWjLO+ScionoTQkCSJHzwwQc4d+6cflu8eDEAoHv37gb74+Pjq3yu6OhoVFZW6rdXXnnFZL+EhASDfvb29rWOOyEhAZGRkXB1dYVKpYK7uzuefvppJCUl1fq5iIgsAYt/IiJqEKbm99dlzn90dLTBBbyrV6822e/3F/4WFxfX6nXWrFmDoUOHIjY2Fi4uLggNDYW1tTV27NiBQYMG4fLly7WOnYhI7jjth4iIGsTGjRtx+vRpg326lXcuX76M0aNHG7RJkoTPPvsMHTt2NNjv5uYGNzc3o+d3dHQEoL1e4MGpRToXL16scax5eXmYOXMmJEnCunXr8MILLwDQflmZMWMG1q5di3Xr1uH999+v8XMSEVkCSdTltAwREbVIubm5cHd3N9n23HPPYdOmTTV+LkmSkJycjKCgIADapT5XrFiB6Oho/P3vf691bA4ODigpKUF6ejo6depUbd/jx4/j8ccfR4cOHbg0KBG1KDzzT0REtWZnZwcvLy8AQGZmJkpKSjBr1iwsWrSoymOWLVuGFStWYPbs2XjttdcAwOis/++ZOsOvI0kSvv/+e/2Xh9rw9/eHvb09rl27hgULFmD27Nlo1apVrZ+HiMjSsPgnIqJa69evn8FqP4cOHYKrqyt8fX2rPKZ169YAABcXl2r7PSg1NRWA8So+uj9al5aW1jp2AHB2dsa//vUvvPzyy5g/fz4+/PBDREZGIjIyEqNGjUKbNm3q9LxERHLHC36JiKhBpKWlISAgoMpt1apVAIBPP/0UAQEBmDp1ao2e19PTExqNxmAbOnRoveN96aWXkJiYiAkTJkChUOD777/H1KlT0b59e8yaNQtqtbrer0FEJDc8809ERA2irKwMqampVa61rztbn5ubizt37jx0Xr7O/fv38eabbxrs0/1FoL6Cg4Px7bffori4GDt27MDatWsRFxeH5cuXw9HREQsXLmyQ1yEikgue+SciogYRGBiIyspKnD9/HidOnDA6W//uu+8CABYuXAiNRoO4uLgaPW9xcTE+++wzg+3atWsNGru9vT2ee+45xMbG6pcW3bhxY4O+BhGRHLD4JyKiWktISNCvr3/o0CH9/uLiYkRERGDIkCFISEgwOKaui8t5enoa3MyrsrKy3tN+Tp8+jZUrV+LYsWNGbd26dQMATvshomaJxT8REdWanZ2dfi6/nZ2dfr+9vT2WLFmCkpISPPXUUyaLazm4fPkyXnvtNUyZMgU3btww2g8AkZGR5gqPiKjRcM4/ERHV2oOr/UyYMAHHjh2DSqUCAIwfPx4qlQrvvvsuXFxc6v1at27dgkLRsOeqoqKiEBYWhoMHD6Jz587o3r07KioqkJKSAo1GAx8fHyxYsKBBX5OISA5Y/BMRUY3Z29tj1qxZ6Nq1q37fhg0bjPqNHTsWY8aMgUKhwPXr15GXl4esrCwAgFKprNVrKpVKg9d70IN/ddBNK6rqguPfP2dcXBy++uorfP3110hLS0NhYSG8vb0xYsQI/P3vfzd5l2EiIkvH4p+IiGrM3t4en3zySY366s7Wb9u2DTNmzNDvCwkJqfHrTZo0Ca1bt67yNSsrKxEeHo6srCyUlJRApVLVuGhXqVSYPn06pk+fXuN4iIgsHef8ExFRoxo7dix69eqFWbNm4fjx4xg0aJDJfpIkGZ21X7t2bbVfNhQKBQYMGIDS0lI8+eST2LJli8FfA4iIyJAk6rr8AhERERERWRSe+SciIiIiaiFY/BMRERERtRAs/omIiIiIWggW/0RERERELQSLfyIiIiKiFoLFPxERERFRC8Hin4iIiIiohWDxT0RERETUQrD4JyIiIiJqIVj8ExERERG1ECz+iYiIiIhaCBb/REREREQtxP8HCBtbGgj+XGoAAAAASUVORK5CYII=",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x314447990>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"(0,300)"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"subplot(311)\n",
"title(\"S-310 VS New Shepard\")\n",
"plot(time_S310,mass_S310, label=\"S-310\")\n",
"plot(time_NS,mass_NS, label=\"New Shepard\")\n",
"ylim(0,30000);xlim(0,300)\n",
"legend(loc = \"best\", fontsize = 10)\n",
"# plot(time_NS,mass_NS)\n",
"ylabel(\"質量 kg\")\n",
"subplot(312)\n",
"plot(time_S310, vel_S310, label=\"S-310\")\n",
"plot(time_NS, vel_NS, label=\"New Shepard\")\n",
"ylabel(\"速度 m/s\")\n",
"axhline(330, linewidth=1, linestyle = \"--\")\n",
"ylim(-500, 2000);grid();xlim(0,300)\n",
"subplot(313)\n",
"plot(time_S310, alt_S310/1000, label=\"S-310\")\n",
"plot(time_NS, alt_NS/1000, label=\"New Shepard\")\n",
"ylabel(\"高度 km\")\n",
"xlabel(\"時間 s\")\n",
"grid();ylim(0,200);xlim(0,300)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## S-310とNew Shepardの違い\n",
"S−310のような固体燃料ロケットは構造が簡単で大推力が出せる特性がある。一方、New Shepardに使われているBE-3エンジンは液体水素/液体酸素のロケットであり、高性能(高比推力)ではあるが、推力はそこそこという特性がある。\n",
"\n",
"エンジンの違いによって、高度100km以上に到達するロケットにこれだけ違いが出てくる。\n",
"特にNew Shepardは上部に有人カプセルを載せており、人にかかるGを低減するためにあえて液体ロケットを使っている。\n",
"\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 0.4.0",
"language": "julia",
"name": "julia-0.4"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "0.4.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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