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Solve the retirement problem
{
"metadata": {
"language": "Julia",
"name": "",
"signature": "sha256:fd811a719139b23bb979a008002d8f852ad788ac7aa02f2dad79de950621e624"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"# This first cell loads packages (similar to require in R)\n",
"using PyCall, PyPlot, Grid, Distributions, DataFrames\n",
"@pyimport seaborn as sns "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"INFO: Loading help data...\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h2>Modelling Retirement</h2>\n",
"<a id=\"index\"></a>\n",
"\n",
"This notebook looks in detail at the retirement problem that has to be solved in Guvenen style models. We will compare the implementation in Guvenen (2007) to that of Guvenen (2014). In both cases we will use, as the underlying income distribution, the distribution taken directly from the code accompanying Guvenen (2007).\n",
"\n",
"The following calculations are performed:\n",
"\n",
"1. Calculate the pensions as in [Guvenen (2007)](#guv2007)\n",
"2. Calculate the pensions as in [Guvenen/Smith (2014)](#guvsmi2014)\n",
"3. Solve the model using [value function recursion](#solveVF)\n",
"4. Solve the model using the [consumption function](#solveCF)\n",
"\n",
"The first step is to load the income distribution:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"yit = readdlm(\"C:\\\\Users\\\\tew207\\\\Dropbox\\\\QMUL\\\\PhD\\\\Code\\\\Julia\\\\Guvenen\\\\LaborReal.dat\");"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 66
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h3>Guvenen (2007) Pension System</h3>\n",
"<a id=\"guv2007\"></a>\n",
"<a href=#index>Back to index</a>\n",
"\n",
"Let's start with the implementation of the pension system in Guvenen 2007. From the paper:\n",
"\n",
"<blockquote>\n",
"To simplify notation, define $\\tilde{Y}_T \\equiv Y_T/\\bar{Y_T}$ to be an individual's income at age $T$ realitve to the average income at that age, $\\bar{Y}_T$. The retirement replacement rate is a concave function of $\\tilde{Y}_T$ given by\n",
"$$\n",
"\\Phi(\\tilde{Y}_T) = \\bar{\\Phi} \\times \\begin{cases} 0.9 \\tilde{Y}_T & \\text{if } \\tilde{Y}_T < 0.3, \\\\ \n",
" 0.27 + 0.32(\\tilde{Y}_T - 0.3) & \\text{if } \\tilde{Y}_T \\in (0.3, 2], \\\\\n",
" 0.81 + 0.15(\\tilde{Y}_T - 2)& \\text{if } \\tilde{Y}_T \\in (2, 4.1], \\\\\n",
" 1.1 & \\text{if } \\tilde{Y}_T > 4.1 \n",
" \\end{cases}\n",
"$$\n",
"where $\\bar{\\Phi}$ is a scaling parameter. \n",
"</blockquote>\n",
"\n",
"in the paper, the scaling parameter is set at 0.715 to reflect the fact that income in the last period of working life is on average about 40% higher than average income over the life cycle. \n",
"\n",
"Let's calculate the resulting pension payments. One interesting detail is that there are different ways to calculate \"average\" income in the retirement period. The most obvious way would probably be:\n",
"\n",
"`mean(yit[:, 40])`\n",
"\n",
"However, in Guvenen's code, the variable against which retirement period income is compared is called `ymedian`, which would suggest using:\n",
"\n",
"`median(yit[:, 40])`\n",
"\n",
"BUT even though the variable is called `ymedian`, the actual calculation in the code is:\n",
"\n",
"`ymedian = exp(meana_ALL + meanb_ALL*40) + y_adj`\n",
"\n",
"where `meana_ALL=2.0`, `meanb_All=0.009` and `y_adj=0.4` \n",
"\n",
"Let's see what difference the different cutoffs make for the distribution of pension payments:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ymean = mean(yit[:, 40])\n",
"ymedian = median(yit[:, 40])\n",
"yguv = exp(2.0 + 40*0.009)\n",
"\n",
"@printf \"Mean income is %.1f, median income is %.1f and Guvenen's mean is %.1f\" ymean ymedian yguv"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Mean income is "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"16.2, median income is 11.3 and Guvenen's mean is 10.6"
]
}
],
"prompt_number": 67
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function get_pension(y::Float64, y_bar::Float64)\n",
" rratio = 0.0\n",
" \n",
" if y < 0.3*y_bar\n",
" pension = 0.9*y\n",
" elseif y < 2*y_bar\n",
" pension = 0.27*y_bar + 0.32*(y - 0.3*y_bar)\n",
" elseif y < 4.1*y_bar\n",
" pension = 0.81*y_bar + 0.15*(y - 2.0*ymedian)\n",
" else\n",
" pension = 1.1*y_bar\n",
" end\n",
" \n",
" return 0.715*pension\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 68
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The function looks as follows:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p_mean = Array(Float64, 1000)\n",
"p_median = similar(p_mean)\n",
"p_guv = similar(p_mean)\n",
"y = linspace(minimum(yit[:, 40]), maximum(yit[:, 40]), 1000)\n",
"\n",
"for i = 1:1000\n",
" p_mean[i] = get_pension(y[i], ymean)\n",
" p_median[i] = get_pension(y[i], ymedian)\n",
" p_guv[i] = get_pension(y[i], yguv)\n",
"end\n",
"\n",
"fig, ax = PyPlot.subplots()\n",
"ax[:plot](p_mean, label = L\"\\bar{Y} = \"*\"ymean\")\n",
"ax[:plot](p_median, label = L\"\\bar{Y} = \"*\"ymedian\")\n",
"ax[:plot](p_guv, label = L\"\\bar{Y} = \"*\"yguv\")\n",
"xlabel(\"Retirement Period Wage\")\n",
"ylabel(\"Pension\")\n",
"legend(loc =\"best\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x000000004685FC18>)"
]
}
],
"prompt_number": 69
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pension_2007_mean = Array(Float64, size(yit, 1))\n",
"pension_2007_median = similar(pension_2007_mean)\n",
"pension_2007_guv = similar(pension_2007_mean)\n",
"\n",
"for i = 1:size(yit, 1)\n",
" pension_2007_mean[i] = get_pension(yit[i, 40], ymean)\n",
" pension_2007_median[i] = get_pension(yit[i, 40], ymedian)\n",
" pension_2007_guv[i] = get_pension(yit[i, 40], yguv)\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 70
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = PyPlot.subplots(2, 2)\n",
"ax[1,1][:hist](yit[:, 40], bins = 100)\n",
"ax[1,1][:set_title](\"Income Distribution, period 40\")\n",
"ax[1,2][:hist](pension_2007_mean, bins = 100)\n",
"ax[1,2][:set_title](\"Pension Distribution, ymean\")\n",
"ax[2,1][:hist](pension_2007_median, bins = 100)\n",
"ax[2,1][:set_title](\"Pension Distribution, ymedian\")\n",
"ax[2,2][:hist](pension_2007_guv, bins = 100)\n",
"ax[2,2][:set_title](\"Pension Distribution, yguv\")\n",
"fig[:suptitle](\"Income Distributions\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ZJzQ0lDFjxrBz5078/Pzw8PBg2LBh/PLLL3z77bf4+/vj6enJ0KFDycjI0Nt+UlISI0eOxNPTk06dOhEaGsoff/zx0PXu06cPnp6eej0l9w4FOHHiBEOHDsXLy4uOHTsyYcIEfvrpJ6Uu+/fv5+rVq8rpMt0prY0bN9K/f388PT3Zu3dvuae3tVotUVFRdO3aFS8vL0JCQsjKytLbV/cOHbj71NyVK1fw8/MDICwsjD59+pS7XGWPy+jRo4mPj6dfv364u7szePBgvv/++yrtU118X3zxBcHBwXh6etKrVy+ioqLKJI+7d+9m4MCBuLu707t3byIjI9FoNHoxBQUFMWfOHLy9vRk0aBAajabMab3ff/+dsLAwevXqhYeHB2+88QbffPON3rZUKhULFiygW7dueHl5MWvWrDLDTSpSVFTEzJkzefvtt2nevHmZ8uPHj9OzZ0/Mzf/3W7xfv35oNBqOHz9eqW2Ip4ebmxsAV69eVaYdOXKE119/nbZt29K9e3c+++wzCgsLlfKIiAj69u3L0aNH8ff3x93dnX79+nHgwAG9dW/atIn+/fvTtm1bfHx8+OSTTygoKFDKH+az4+rqyvbt25k9ezadOnXC29ubqVOncv369YfeB3/7299Qq9Xs2bMHKDsUQKPRsGLFCnx9fXF3d6dPnz4sX74ctVqtxAQQGRlJq1at9PZRZGQkHTt2pEePHuTn5+sNOdC5du0aY8eOxcPDg169ehEREaHX9pQ3dODuNjwiIkI563f3vDW1fzMzM3F1dWXXrl1603/77TdatWrFwYMHlX18+PBhJkyYgJeXF926dWP16tUUFBQwa9Ys2rdvT7du3Vi6dKneelQqFYsXL6Znz564u7vzyiuv8I9//ENvnjt37rBs2TLl+6Ndu3a88847et/j1fU9Y0wkoa0BGo2GqVOnMmjQINatW4e3tzeLFy9WvpBLSkp45513OHjwIGPHjiU6OhoXFxdCQkJISkoC4OOPP2bBggX07duXNWvWMGLECLZu3cr48eP1tpWSksL27duZNWsWCxYs4OLFiwQHB7Nw4ULGjx/P8uXLuXr1KtOnT1eWSUxMJCgoiDp16rBq1SrCwsJISEggMDCw0olJebp27cq1a9f47bfflGm601FZWVlMmDCBtm3bsnbtWj777DN+/vlngoOD0Wq1hISE0LNnTxo0aMCuXbvw8fFR1hEREcHYsWNZsmQJ3bp1K3fbp0+f5quvviI8PJzPPvuMjIwMAgMDuXXrVplYyuPk5KQ0nhMmTFAa2HuXq+xxSU9PJy4ujilTphAVFYWZmRmTJk16qPF+c+fOpX79+kRGRjJ48GCioqJYtmyZUr527Vo+/vhjunXrxtq1axkxYgTr1q3jo48+0ltPUlIS2dnZREdH8/7772Nqqt885ObmMmTIEE6fPs20adOIiIigcePGhISE6I0rnjFjBrt372bcuHF8/vnn/Pnnn2zcuLFSpx6joqLQaDTlnt68c+cOV69e5YUXXtCbbm9vj42NDT///HNldpd4iujeE87OzgB8+eWXTJw4kRdffJHo6GgmTpzIF198wYQJE/SWy8nJYe7cuQQFBRETE0OTJk344IMPlB/YBw8eZOnSpYwaNYoNGzYQEhLCgQMHmDdvXrlxVPazA7BixQq0Wi0rVqxg5syZfPvtt8yfP/+h90Hz5s15/vnnOX36tN503edx3bp17Nixg0mTJhEXF8ewYcOIjY1l9erVAOzcuRMoHdKg+z+U/kj4/vvvle8IW1vbcrcfERGBo6Mj0dHRBAQEsGbNGhYtWvTAuHXxDR06lCFDhgClwwx0wyru9jj371/+8hc8PDzK/MDZv38/NjY29O3bV5n24Ycf4urqypo1a+jSpQurVq3ijTfeoE6dOkRGRtK3b1/Wr1/PP//5TwDlu27nzp288847rFmzBi8vL6ZNm6Y35nnmzJns3buXsWPHEhcXR2hoKJmZmbz//vt6MVXn94wxkCEHNUD3pg0ICADAy8uLr7/+mqNHj9K9e3e+++470tLSiI6OVnr/unTpwqVLlzh16hT169cnPj6e999/n/fee08pd3JyYubMmRw7dkwZQ3rr1i1Wrlyp9HYlJCSwY8cONm3aRKdOnQC4dOkSixYtoqCgABsbG5YtW0aLFi1Yu3at0qh4enoycOBA9uzZw4gRIx6q3rpTyDk5OWVODaelpaFSqQgODsbJyQkoPYX2zTffcPv2bZo2bYqdnZ3e6bLbt28DMGDAAF577bX7btvc3JzY2FhlKEKLFi0YPHgw+/fvV+pzv1PiFhYWSo+Bs7OzXg+wbrkLFy5U+rjcvHmTvXv3KkMW6tSpw8iRIzl16hQvv/zyfetyLzc3NxYvXgxA9+7duX37Nps2bWL8+PFoNBqio6N56623mDVrFlD6w6J+/fp8+OGHvPPOO8rQD7VazSeffFLhcI24uDhu3LjBzp07lePn4+PD6NGjWbRoEf7+/mRmZvKvf/2LTz75hDfffFOJyd/fn4sXL963HmlpacTFxbFt2zZlnPXdbt68CZSeXr5X3bp19XrHxNNFq9VSUlKifBb//PNPEhISWL16NV5eXri5uaHValm6dCk+Pj7K5wWgWbNmjB49Wu/zWVhYyGeffUbnzp0BeOGFF+jduzffffcdLVq0ICEhgSZNmjB8+HBMTExo3749derUqTBRqMxnR+ell15SEqyuXbuSlpamJDwPy8HBgdzc3HLLEhISaNOmjdKGtm/fHmtrayVB1Q3VuHdIg1qt5oMPPsDb2/u+2+7Ro4eS6Hfr1o2CggK2b99OSEhIhUkw/K9dvXsIWUXDDB73/g0ICGDOnDlcuXKFJk2aAKUJ7YABA/TaLh8fHyZPngzAiy++yMGDB2nQoAEffvghAJ07d+bLL78kJSWF/v37c/LkSY4fP87KlSvp37+/ss8KCwtZtmwZr7zyCmq1mtu3b/PRRx8p87Rv356CggIWLVrE9evXcXBwAKr3e8YYSA9tDfH09FT+b2Fhgb29vXLaKzk5mWeeeabMKfAdO3YQEhJCQkICAIMGDdIrHzBgAGZmZiQmJirTnn32Wb1Tt7o3+t3jyZ599lkA8vPzKSwsJC0tjV69elFSUoJarUatVtOkSRNatGjByZMnH7rOugaqvJ46T09PLC0tGTJkCPPnz+f777/H1dWVqVOnlrnI4F6VGbfl7e2tl6i5urrStGlTpcfbELr6VOW4ODg46I2/1cWmS9Kr4pVXXtH7u2/fvhQXF5OSkkJKSgoqlYrevXsrx1KtVtO7d2+gdJiHjp2d3X3HHickJODl5VXmx4i/vz+5ublcvHhR2Z+69UPp/unbt+99fzCoVCpl2IO7u3u589x9mrI89/Yoi6dHYmIibm5utGnThjZt2tCtWzfef/993N3dWb58OQA//fQT2dnZZT4LHTp0oG7dunqfBSjtaNC59/PZuXNnfv75Z15//XWioqI4e/Ys/v7+Ff7Yr8xnR+fu7wbdtu8eEvEwtFpthWdIOnfuzIkTJxgxYgSxsbFcuHCBESNG6CWBFdENQbifAQMG6P398ssvU1xcXOYiL0M87v07YMAArKyslF7a06dPc+nSJV5//XW9+e5+D+m+e+9Nym1tbZUfQv/5z38wMTHBx8enTHudk5PD+fPnsbCwYP369fTv35/s7Gx++OEHduzYwbfffgugN7ytOr9njIH00NYQa2trvb9NTEyUL+wbN24oSWZ5/vzzT4AyF82Ym5tjZ2en10tQXm8WgJWVVbnT8/Pz0Wg0xMTEEBMT88C4qyI7OxuARo0alSlr3LgxW7ZsYd26dezevZvNmzdja2vL8OHDmTp16n3X+6CEF8ruKyg9VV2dp16qclwsLS315tF92TzMBYT3JqH29vZA6bHUjYMr73ZnJiYm/P7778rfderUue92/vzzT+XU7d109b1586ayD+zs7PTmcXR0vO+6V65ciVarZfz48UrMun1RUlKCmZmZ8l6+e5iITkFBAfXq1bvvNsSTy83NjU8//RQofV9bWlry3HPP6b2nb9y4AcAnn3xS5o4YJiYm5OTk6E27+zOq+7Gka6MHDBiAVqtl+/btREdHK6e4p0+fzl//+tcy8VXms6Nzb9tsampq8IXF165d46WXXiq3bMyYMdSpU4f4+HiWLl3KkiVL+Mtf/sKHH36onMWrSGW+D+797N/dPlWXx71/bWxs6N+/P1988QUhISHs37+fFi1alLnwsLzv3/vtsxs3bqDVasvt9da1166urnz//ffMnz+fn3/+mbp169KqVStlvXfXpTq/Z4yBJLS1UL169ZTG927nzp0DoH79+kDpqfvnn39eKS8uLiYvL08vmajqG7du3bqYmJgQFBRUpqdRq9UalNCePHmSZs2aVZjctG3bloiICNRqNUlJSezcuZM1a9bg6uqqnFp52FvAlLc/c3JylEbw7h8UOlX9Fav7EVKZ41Kd8vLy9P7WXeBgb2+vjHletmxZmbGnWq1WL/l+0Hvl2WefLfOlDyjT7OzslDpev35d74dLefv/bocPH+bq1at6PRo6bm5uLFy4kMGDB9OwYUMuXbqkV379+nVu3br1yO6aIWq/unXrKheAVUR3evuDDz4oczs4rVZ7306E8gwcOJCBAwdSUFDA8ePHWbduHTNmzKB9+/Zl2rjKfHYelQsXLpCbm1vhvbhNTEwYMWIEI0aM4I8//uDYsWOsWbOGSZMmcfLkSb0LMB/GvZ993dAHXY8llD378jBt7+PevwEBAezbt4+zZ89y+PBhZZiZIerVq0edOnXYsmVLmTKtVkuzZs24fPkyISEhvPzyy8TExCg9sNu2bXuiL/iqDDlHVwt16NABtVrNd999p0zTaDSEhYWxdu1apTE+ePCg3nKHDh2ipKSEdu3aKdOqmgDa2NjQunVrfvrpJ9zc3JSXi4sLUVFRymn1ilS0vaNHj5Kens6wYcPKLd+2bRu+vr4UFRVhbm5O586dlR4X3UVkhvRUJCcn642xTE1N5erVq0oPRN26dcnLy9M7XZOcnKy3DjMzs/tu41Eel/v5+uuv9f4+fPgw1tbWeHp60rZtW5555hmuXbumdzzNzc1ZsWIFV65cqXRMHTt2JCUlRe+KcYAvvvgCR0dHmjVrpow5/Oqrr/Tm+fbbb++7/jVr1hAfH6+89uzZQ+vWrXFzcyM+Pp5evXoBpePJjh49qnecDh8+jJmZmbJtIcrTokULHBwcyMrK0vssNGzYkBUrVpS508v9TJ8+XblwUddbpzu7cPdZD53KfHYelc8//xxra2sGDx5cbvnIkSOVMa729va89tprDB8+nPz8fKXNNGQ4z70Pdjh06BDW1tbKqXcbGxu9C4Wh9BT+3e3Fg7ZfE/u3ffv2NGvWjMWLF3Pr1i1effVVg9fZsWNHbt++jUaj0XuPZmZmEh0djVqtJj09naKiIoKDg/WGE+iS2bt/HDxN98AH6aGtlXr16oWnpyehoaFMnTqVJk2asG/fPn7++WfmzZuHi4sLr732Gp9//jl37tyhffv2/Pjjj0RGRtK5c2e9OwA8TAI4bdo0goODmT59Ov7+/pSUlLBhwwbOnj1b5mr9e6lUKlJTU9FqtWi1WvLz80lKSmLLli107ty5TC+BLr4uXbqwZMkSJk6cyIgRIzAzM2PHjh1YWloq4zGfffZZrl+/zrFjxyo1dutuGo2G4OBgxo0bxx9//MGyZcto2bKlMv7U19eXrVu3Mnv2bAICAjh//jwbN27US2J1p7RPnjzJCy+8oIzF0tXhxRdfrLbjotFoSEtLKzMGqjxff/018+bNo1evXiQkJLB9+3b+9re/YWVlhZWVFWPGjGHVqlUUFBTQsWNHsrOz+fzzzzExMSn34raKjB49mgMHDhAUFMTEiRN59tln2b9/P6dOnWLBggVA6QU2Q4cOVZ7e1apVKw4cOMD58+fvu/6WLVuWmaYbSnJ3z9uYMWM4dOgQ7733HkFBQfzyyy+sWLGCN998s9yhLOLpUJl2zszMjKma8ayMAAAgAElEQVRTpzJnzhxMTU3p3bs3+fn5rF69muzsbFq3bl3p7XXv3p3Q0FAWLVqEj48P+fn5REZG0qxZs3LH9Ffms2Ooa9euKeNS1Wo12dnZ7Nu3jxMnTvDpp59WOD6+c+fOrFmzBkdHRzw9PcnOziYuLo6OHTsqZwPr1avH6dOnSUhIKNO7/SD/+te/aNiwIV26dOH48ePs2rVL79qIXr168Y9//ANPT0+cnZ3Zu3cvly9f1jumut71gwcP4uHhUaZNrM79m5OTw6+//sqLL75Y4ZA9nYCAAJYvX07Pnj0fOKyqMnr16kWHDh2YMGECEyZMoEWLFqSlpREZGUmPHj2ws7NTOiSWLFnC6NGjKSoqYu/evaSmpgL6vdtP6tCCikhC+4iZmJiU+ZX0oF9NpqamrF+/nqVLl7Jq1Spu375Nq1at2LBhg3LBzGeffUazZs2Ij48nJiaGRo0aERgYqHf7mYq2Xd72757WrVs31q9fT1RUFFOmTOGZZ56hTZs2xMXF3fdm1iYmJuTm5ipXt0PpeCEXFxemTJnCyJEjy/Ry6raru6tCREQE06dPR61W4+bmRmxsrHKq/PXXX+fYsWOEhIQwZcqUMhcb3K+OL7/8Ms899xwzZsxArVbj6+vLrFmzlCtSu3btygcffMCWLVs4fPgwbdq0ITIyUu9xizY2NowePZodO3Zw7Ngxjh8/XmZbD3tc7lVQUMBbb73Fa6+99sAGedKkSSQlJbF7926ef/555syZo3cMpkyZgqOjI9u3b2f9+vU8++yzdO3alWnTpikNdmViatCgATt27GDZsmXMmzeP4uJiXF1dWb16td5FYOHh4Tg6OrJt2zb+/PNPfHx8mDBhAitWrLjv+stzb0wtWrQgNjaWJUuWMGXKFOzt7Rk9erRyJbF4OlW2J+qNN97AxsaG9evXs2vXLurUqUO7du1YtmwZjRs3Vtb1oPUNHjyYwsJCtm/fzt///ncsLS3p2rUrM2fOLPdMTmU/OxXVrTL1053ZgNLvkPr16+Pp6cnGjRvvOxY2JCQEMzMz9u7dS1RUFPXq1cPX11fvVo7jx48nOjqasWPHcujQISWuBzExMWH27NkcOnSIjRs34uTkxOzZsxk5cqQyT1hYGGq1mkWLFmFubs7AgQN5//339W4r2K9fP7744gtCQ0N54403mDNnjt52qnP/Hjp0iIULF7JlyxY6dOhw32V79uzJ8uXLy1wM9rBMTEyIiYlh1apVrF27Vhm6FRQUREhICFDaabBs2TIiIyMZP348Dg4O+Pv7M3v2bHr37k1ycjItW7as9PvmiaKtIpVKpR04cKD21KlTyrSrV69q33vvPa2Hh4fWz89Pe+jQIb1lTpw4oR04cKDWw8ND+/bbb2svX76sVx4XF6ft3r271svLSztr1ixtYWGhUnbnzh1tWFiYtn379tpu3bppN2zYUNWQhTBK//73v7Uff/xxheVZWVnal156Sbt79+7HGJV4HN577z1taGio8vfly5e1gYGBWk9PT+2AAQO0x48f15vfkDZWCKFv4sSJ2tTU1AfOt3btWm23bt20xcXFjyEq8SBVGhijUqmYNm0aFy5cUDL/kpISxo4dyzPPPMP+/fsZM2YMM2fOJDMzEyi9+XJISAhDhgwhPj4ee3t75ZcGlI5/i4qKYt68eWzatInU1FSWLFmilC9evJhz586xefNmwsPDiYyM5PDhw9WRywtRaxUVFREXF6c3TEE8HQ4dOqQ3fl77/+9b7eTkRHx8PK+++ioTJ05Uxh0a2sYKIf4nPT2d8+fPV3hXCIB9+/axaNEioqKiePvttw2+cE5Uk8pmvpmZmdpXXnlF+8orr2hfeuklbUJCglar1Wq/+eYbbfv27bUFBQXKvBMmTNDu2rVLq9VqtStXrtSOGjVKKSssLNR6e3sryw8fPlwbERGhlCclJWk9PDy0d+7c0d66dUvbtm1bZV6tVquNjo7Wjhw58uHSdyGMyP/93//dt1x6aJ88eXl5Wh8fH+2QIUOUHtqTJ09qPT099XpVg4KClHbTkDZWCKHv999/1/7+++/3nWfBggVaDw8P7YwZM7RqtfoxRSYepNI9tImJiXTp0kXv0XcAp06dokuXLnr3Ao2KilIeT5eamqo3DsXKyorWrVuTkpJCSUkJ6enpeuUeHh4UFxeTkZFBRkYGarVa71Y+3t7epKWlVT1zF8LIPOgilSZNmpCRkaE8FlIYv0WLFjF48GBefPFFZVpqaipt2rTRu39mu3btSElJUcofto0VQuhzdHR84AVeoaGhnDlzhsWLFz/w7jfi8al0Qjts2DBCQ0PL3JT4ypUrNGrUSHmk4KuvvsqRI0eU8pycHOVRpjoNGjQgOzubmzdvolKp9MrNzc2pX78+165dIycnBzs7O73u/AYNGqBSqcrce1MIIYzZf/7zH06fPs2ECRP0rk7Oyckp9+b0ugeVGNLGCiHEk8Lg+9AWFBSwb98+bt68ydq1axk8eDBTpkwhPT0dgDt37pR5LruFhQVFRUXcuXNH+bu88sLCwnLLQP/xbkIIYcxUKhXh4eF8/PHHWFpa6l2dXFE7qGsDDWljhRDiSWHwSGYzMzPs7OyURwm2atWKpKQkdu3aRZs2bbC0tCzTcKpUKmxtbStMTouKirC2tqa4uLjcMqj8I1i193mGtRBC1AaRkZG0adOGbt26AfrtlqWlpfJIYR1dG6krf9g2trKkHRVC1HYGJ7ROTk5lnuLxwgsvKHc5aNiwYZlH0uXm5tK6dWvs7OywtLQkNzeX5s2bA6U3hL5x4waOjo6UlJSQl5eHRqNRtpGTk4OVlZVyo+UHMTExIT+/kJISzYNnNkJmZqbY2lo/sXWU+hm/J72OuvoZ4h//+Ae5ubnK9QLFxcUA/POf/2TcuHFcuHBBb/7c3FxlGIIhbWxl1aZ2tDa9nySW2h9LbYtHYrl/LIYwOKH19PRk9erVeknnxYsXlZtUe3h46D1CtLCwkB9//JHJkydjYmKCu7s7SUlJykULZ86cwdzcHFdXVzQaDebm5qSkpCiPDU1OTlYeLlBZJSUa1Oqa/1A9Sk96HaV+xu9pqOPD2rJlCyUlJUBpb+jSpUsBmDFjBr/++isxMTGoVCosLS2B0nZQ12Ya0sZWRW07frUpHomlfLUpFqhd8Ugs1c/gMbQDBw5Eo9EQHh7OpUuX2LZtG8ePH2fo0KFA6aPhTp8+TUxMDJmZmYSFhdG0aVPl8XnDhw8nNjaWI0eOkJaWRnh4OEOHDsXS0lJ5/nR4eDhnz57lyJEjxMXFERgYaGjYQghRazz//PM0bdqUpk2b4uzsTJ06dahbt67SVj733HOEhYWRmZlJTEwM6enpyt0tDGljhRDiSWFwD62NjQ1xcXGEh4fj7+9P48aNWblyJa1atQKgcePGREREMH/+fKKjo/H29iYqKkpZfsCAAVy5coU5c+ZQVFREv379mDFjhlIeFhZGeHg4b7/9Nra2tkyePBk/Pz9DwxZCiFrr7vGqpqamREdHM3v2bAICAmjWrBmRkZE0atQIMLyNFUKIJ4GJ9u77wzyh8vJuPRHd6eUxNzfFzq7uE1tHqZ/xe9LrqKvfk662HL/a9H6SWGp/LLUtHonl/rEYwuAhB0IIIYQQQtQkSWiFEEIIIYRRk4RWCCGEEEIYNUlohRBCCCGEUZOEVgghhBBCGDWDb9slhBBCGLtbt25x/nyG8nfLlq7Urfvk371CiCeFJLRCCCGeeufPZzBz+V7qOThzI/siwa968NJLrpLYCmEkZMiBEEIIAdRzcKZ+o79gZm5B7KFzzFy+V6/XVghRez21PbR3n16SX+BCCCHuVs/BuaZDEEJUwVOb0OpOLwEsnvY6Xl7tajgiIYQQj5uuc+O//y3bE1uiLlKmS8eHELXbU5vQgvwCF0KIp52uc+P2n9k0bNFBr+z2n9nEHroGh85Jx4cQtdxTndAKIYQQpZ0bJvcpE0LUdnJRmBBCCCGEMGpVTmiLiooYNGgQCQkJZcpu3rxJjx492Ldvn970kydPMmjQIDw9PQkMDCQrK0uvfOPGjfTo0QNvb29mz57NnTt3lDKVSsWsWbPo0KED3bt3Jy4urqohCyGEUbh06RLvvvsuXl5e9O7dm9jYWKVs3rx5uLq66r22bdumlBvSzgohhLGrUkKrUqmYNm0aFy5cwMSk7OmZJUuWkJOTo1d29epVQkJCGDJkCPHx8djb2xMSEqKUHz58mKioKObNm8emTZtITU1lyZIlSvnixYs5d+4cmzdvJjw8nMjISA4fPvwwdRVCiFpLo9EQHByMg4MDBw4cIDw8nNWrV3Pw4EEAfvrpJ95//31OnDihvAICAgDD21khhDB2lU5oL1y4wNChQ8v86tdJSkri1KlTNGjQQG/67t27cXd3JygoCBcXFxYsWMCvv/5KYmIiAJs3byYwMJCePXvi7u7OJ598Qnx8PCqVitu3b7Nnzx5mz55Nq1at8PPzY8yYMWzdutWAKgshRO2Tm5uLm5sb4eHhODs707NnT7p06cLp06cBuHjxIm5ubjg4OCgvKysrwLB2VjyY7m4HKSnJpKQkc+vWrZoOSQhxj0ontImJiXTp0oWdO3eWKSsqKuLjjz9mzpw5WFhY6JWlpqbSocP/rhy1srKidevWpKSkUFJSQnp6ul65h4cHxcXFZGRkkJGRgVqtxsvLSyn39vYmLS2tSpUUQojazsnJieXLl1OnTh20Wi3JyckkJibSsWNHCgoKyM7OplmzZuUua0g7Kx6s9G4H55i7KUketiBELVXpuxwMGzaswrI1a9bQunVrunbtWqYsJycHJycnvWkNGjQgOzubmzdvolKp9MrNzc2pX78+165dA8DOzg5zc3O9ZVUqFXl5edjZ2VU2fCGEMBq+vr789ttv9O7dm759+3L27FlMTExYs2YN3333HfXr12f06NEMHjwYMKyd9fDweKx1M1a6p4gJIWong2/bdeHCBXbu3MmXX35ZbvmdO3fK9NpaWFhQVFSkXJRQUXlJSUm5ZVDaK1xZZmZlO6LvnmZmZoq5uXHe8EFXj/Lq+CSQ+hm/J72Oj6JekZGR5OTkEB4ezvz582nTpg2mpqa4uLgwatQoEhIS+Oijj7CxscHPz8+gdrayasvxq+7308OsR/edUZve2xJLxWpTPBJL+aojBoMSWq1Wy4cffsjkyZOxt7fXm65jaWlZptFUqVTY2tpWmJwWFRVhbW1NcXFxuWUA1tbWlY7T1rbsvHdPs7W1xs7OuJ8AU14dnyRSP+P3NNSxuri5uQEQFhbG9OnTCQ0Nxc/PDxsbGwBatmzJL7/8wt///nf8/PwMamcrq7Ydv+qK52HWc+93Rm3aNxJLxWpTPBJL9TMoob169Spnzpzhv//9LwsXLgRKe2TnzJnDV199RUxMDA0bNiQnJ0dvudzcXFq3bo2dnR2Wlpbk5ubSvHlzANRqNTdu3MDR0ZGSkhLy8vLQaDSYmpZm7zk5OVhZWWFra1vpOPPzCykp0XDr1i3lMYYZGT/qleflGecgfzMzU2xtrZU6PmmkfsbvSa+jrn6Gun79OikpKfj5+SnTXFxcKC4u5ubNm2WGWDVv3pwffvgBwKB2trJqy/Gr7vdTfn7hQy2Tl3erVr23JRbjiEdiuX8shjAooW3UqBFff/218rdWq2XUqFG8/fbb+Pv7A6UXHyQnJyvzFBYW8uOPPzJ58mRMTExwd3cnKSlJuWDhzJkzmJub4+rqikajwdzcnJSUFNq1K33kYHJyMu7u7lWKs6REg1qt4dy5c8xcvpd6Ds5k/5SoPOZQV27MnoQ63I/Uz/g9DXU0RFZWFpMmTeLo0aM0bNgQgPT0dOzt7dm8eTMpKSls3LhRmT8jI4MWLVoAhrWzlVXbjl91xfMwX+T3brs27RuJpWK1KR6JpfoZNGjBzMyMpk2bKi9nZ2fMzMxwcHBQLkAICAjg9OnTxMTEkJmZSVhYGE2bNqVjx44ADB8+nNjYWI4cOUJaWhrh4eEMHToUS0tLrK2tGTx4MOHh4Zw9e5YjR44QFxdHYGDgQ8esG9hf59lGhlRdCCGqVdu2bXFzc2PWrFlcvHiRY8eOsXTpUsaPH4+vry9JSUls2LCBy5cvs337dg4cOMC7774LGNbOCiHEk8Dgi8IepHHjxkRERDB//nyio6Px9vYmKipKKR8wYABXrlxhzpw5FBUV0a9fP2bMmKGUh4WFER4ezttvv42trS2TJ0/WOyUnhBBPAlNTU6Kjo5k7dy5vvvkm1tbWjBo1ilGjRgGwatUqVq1axcqVK3F2dmb58uXKHQoMbWeFEMLYPVRCe797F37zzTdlpvn4+ODj41PhMsHBwQQHB5dbZmVlxcKFC5UxukII8aRycnIiIiKi3LI+ffrQp0+fCpc1pJ0VQghjV/P3ahBCCCGEEMIAj3zIgRBCCPGk0D0GF/j/d5Ew7ls+CvGkkIRWCCGEqKTSx+Beg0PnWDbDlCZNnB68kBDikZOEVgghhKiCeg7ONR2CEOIeMoZWCCGEEEIYNUlohRBCCCGEUZOEVgghhBBCGDUZQyuEEEJUUYm6iIyMH7G1tSY/vxAXl5bUrSt3PBCipkhCK4QQQlTR7T+zWfflNXacvMnN65dZPO11vLza1XRYQjy1JKEVQgghHkI9B2fqN/pLTYchhEASWr2bZAO0bOkqp42EEEIIIYzIU5/Q6m6SXe+HAjltJIQQQghhhJ76hBbktJEQQgghhDGr8m27ioqKGDRoEAkJCcq0M2fO8NZbb+Hl5UX//v3ZvXu33jInT55k0KBBeHp6EhgYSFZWll75xo0b6dGjB97e3syePZs7d+4oZSqVilmzZtGhQwe6d+9OXFxcVUMWQgijcOnSJd599128vLzo3bs3sbGxSllWVhZBQUF4eXkxcOBATpw4obesIe2sEEIYuyoltCqVimnTpnHhwgVMTEwAyMnJ4b333qNTp04cOHCAyZMnM2/ePI4dOwbA1atXCQkJYciQIcTHx2Nvb09ISIiyzsOHDxMVFcW8efPYtGkTqampLFmyRClfvHgx586dY/PmzYSHhxMZGcnhw4ero+5CCFFraDQagoODcXBw4MCBA4SHh7N69WoOHjyIVqslJCQEJycn4uPjefXVV5k4cSK//fYbYHg7KwyjuxYjJSWZW7du1XQ4QjyVKp3QXrhwgaFDh5b51X/kyBGcnJz429/+hrOzMwMGDODVV1/lyy+/BGD37t24u7sTFBSEi4sLCxYs4NdffyUxMRGAzZs3ExgYSM+ePXF3d+eTTz4hPj4elUrF7du32bNnD7Nnz6ZVq1b4+fkxZswYtm7dWo27QAghal5ubi5ubm6Eh4fj7OxMz5496dKlC8nJyfzwww9kZWXx6aef0qJFC4KDg/H09CQ+Ph4wrJ0Vhiu9FuMcM5fv5fz5jAcvIISodpVOaBMTE+nSpQs7d+7Um+7j48OCBQvKzF9QUABAamoqHTp0UKZbWVnRunVrUlJSKCkpIT09Xa/cw8OD4uJiMjIyyMjIQK1W4+XlpZR7e3uTlpZW+RoKIYQRcHJyYvny5dSpUwetVktycjKJiYl06tSJ1NRU2rRpg5WVlTJ/u3btSElJAQxrZ0X1qOfgTD0H55oOQ4inVqUT2mHDhhEaGqrXoAI0btyYtm3bKn9fv36dQ4cO0aVLF6B0SIKTk5PeMg0aNCA7O5ubN2+iUqn0ys3Nzalfvz7Xrl0jJycHOzs7zM3N9ZZVqVTk5eVVraZCCGEkfH19GTFiBF5eXvTt25ecnBwcHR315rG3tyc7OxswrJ0VQognQbXe5eDOnTtMmjQJJycn3nrrLWWahYWF3nwWFhYUFRUpFyVUVF5SUlJuGZRenFZZZmamev8+aF5z8ypfK1djqlI3YyT1M35Peh0fRb0iIyPJyckhPDyc+fPn37cdBcPa2cqqLcevut9P1V2vmvoOqU2fs9oUC9SueCSW8lVHDNWW0N66dYsJEyZw+fJltm/fjqWlJQCWlpZlGk2VSoWtrW2FyWlRURHW1tYUFxeXWwZgbW1d6dhsba31/n3QvHZ2xvdghcrUzZhJ/Yzf01DH6uLm5gZAWFgY06dPJyAggMLCQr15dO0kGNbOVlZtO37VFU9116umv0Nq03GqTbFA7YpHYql+1ZLQFhQUMGbMGK5cucKmTZtwdv7fOKKGDRuSk5OjN39ubi6tW7fGzs4OS0tLcnNzad68OQBqtZobN27g6OhISUkJeXl5aDQaTE1Ls/ecnBysrKywtbWtdHz5+YWUlGjIzy+s1Lx5ecZzlaqZmSm2ttZKHZ80Uj/j96TXUVc/Q12/fp2UlBT8/PyUaS4uLhQXF+Po6MjFixf15s/NzVWGIRjSzlZWbTl+1f1+qsz3QmWVqItISDhNfn4hL730eJ86WZs+Z7UpltoWj8Ry/1gMYXBCq9FomDhxIr/++itbtmxRGkwdDw8PkpOTlb8LCwv58ccfmTx5MiYmJri7u5OUlKRcsHDmzBnMzc1xdXVFo9Fgbm5OSkoK7dqVPr0rOTkZd3f3KsVYUqJBrdZU6oDp5jU2xhp3ZUn9jN/TUEdDZGVlMWnSJI4ePUrDhg0BSE9Px8HBgXbt2rFhwwZUKpVy9is5OVlpNw1pZyurth2/6oqnOr/Ib/+Zzbovr8GX/1djT52sTcepNsUCtSseiaX6GTxoYc+ePSQkJDBv3jxsbGzIyckhJyeHGzduABAQEMDp06eJiYkhMzOTsLAwmjZtSseOHQEYPnw4sbGxHDlyhLS0NMLDwxk6dCiWlpZYW1szePBgwsPDOXv2LEeOHCEuLo7AwEBDwxZCiFqlbdu2uLm5MWvWLC5evMixY8dYunQp48aNo2PHjjz33HOEhYWRmZlJTEwM6enpDBkyBDCsnRXVS+52IETNMLiH9l//+hdarZaxY8fqTe/YsSObN2+mcePGREREMH/+fKKjo/H29iYqKkqZb8CAAVy5coU5c+ZQVFREv379mDFjhlIeFhZGeHg4b7/9Nra2tkyePFnvlJwQQjwJTE1NiY6OZu7cubz55ptYW1szatQoRo0aBUB0dDSzZ88mICCAZs2aERkZSaNGjQAMbmeFEMLYPVRCe/e9C9evX//A+X18fPDx8amwPDg4mODg4HLLrKysWLhwIQsXLqx6oEIIYUScnJyIiIgot8zZ2ZktW7ZUuKwh7awQQhi7mr9XgxBCCCGEEAaQhFYIIYQQQhg1SWiFEEIIIYRRk4RWCCGEEEIYtWp99K0QQgjxtCtRF/Hf//7v4umWLR/vQxaEeBpJQiuEEEJUo9t/ZhN76Br1fijg5vXLNfaQBSGeJpLQCiGEENWsnoMz9Rv9pabDEOKpIWNohRBCCCGEUZOEVgghhBBCGDVJaIUQQgghhFGThFYIIYQQQhg1SWiFEEIIIYRRk7scCCGEEI/I3feklfvRCvHoVLmHtqioiEGDBpGQkKBMy8rKIigoCC8vLwYOHMiJEyf0ljl58iSDBg3C09OTwMBAsrKy9Mo3btxIjx498Pb2Zvbs2dy5c0cpU6lUzJo1iw4dOtC9e3fi4uKqGrIQQhiF7OxsJk+eTKdOnfDx8WHhwoUUFRUBMG/ePFxdXfVe27ZtU5Y1pJ0Vj07pPWnPMXP5Xs6fz3jwAkKIh1KlhFalUjFt2jQuXLiAiYkJAFqtlpCQEJycnIiPj+fVV19l4sSJ/PbbbwBcvXqVkJAQhgwZQnx8PPb29oSEhCjrPHz4MFFRUcybN49NmzaRmprKkiVLlPLFixdz7tw5Nm/eTHh4OJGRkRw+fLg66i6EELWGVqtl8uTJqFQqtm/fzvLly/n2229ZuXIlABcvXuT999/nxIkTyisgIAAwvJ0Vj1Y9B2fqOTjXdBhCPNEqndBeuHCBoUOHlvnV/8MPP5CVlcWnn35KixYtCA4OxtPTk/j4eAB2796Nu7s7QUFBuLi4sGDBAn799VcSExMB2Lx5M4GBgfTs2RN3d3c++eQT4uPjUalU3L59mz179jB79mxatWqFn58fY8aMYevWrdW4C4QQoub99NNPpKamsmDBAlxcXGjfvj2TJ0/m4MGDSrmbmxsODg7Ky8rKCjCsnRVCiCdBpRPaxMREunTpws6dO/Wmp6am0qZNG6VhBWjXrh0pKSlKeYcOHZQyKysrWrduTUpKCiUlJaSnp+uVe3h4UFxcTEZGBhkZGajVary8vJRyb29v0tLSql5TIYSoxZycnIiNjcXe3l6ZptVqKSgooKCggOzsbJo1a1busoa0s0II8SSo9EVhw4YNK3d6Tk4Ojo6OetPs7e3Jzs5Wyp2cnPTKGzRoQHZ2Njdv3kSlUumVm5ubU79+fa5duwaAnZ0d5ubmesuqVCry8vKws7OrbPhCCFGr1atXj27duil/azQatm7dSpcuXbh48SImJiasWbOG7777jvr16zN69GgGDx4MGNbOenh4PJ4KCiHEI2TwXQ4KCwuxsLDQm2ZhYaFcyHDnzp0Ky3UXJVRUXlJSUm4ZoKy/MszMTPX+rUiJuojMzP8q8730Uu2/IrWydTNWUj/j96TX8VHVa8mSJWRkZLBnzx7Onj2LmZkZLi4ujBo1ioSEBD766CNsbGzw8/MzqJ2trNpy/Kr7/fQ462VmZoq5+aPZXm36nNWmWKB2xSOxlK86YjA4obWysuLGjRt604qKirC2tgbA0tKyTKOpUqmwtbWtMDnVLV9cXFxuGaCsvzJsba31/q3I7T+zWfflNeqdvMnN65dZN3eU3mm62uxBdTN2Uj/j9zTUsbosWbKEzZs3s3LlSl588UVefPFFXn75ZWxsbABo2bIlv/zyC3//+9/x8/MzqJ2trNp2/KornsdZL1tba+zsHm0nSW06TrUpFqhd8Ugs1c/ghLZhw4ZkZmbqTcvNzVWGITRs2JCcnJwy5a1bt8bOzg5LS6ufYL0AACAASURBVEtyc3Np3rw5AGq1mhs3buDo6EhJSQl5eXloNBpMTUuz95ycHKysrLC1ta10jPn5hZSUaMjPL3zgvPUcnKnf6C/Kcnl5tyq9nZpgZmaKra21UscnjdTP+D3pddTVr7rMnTuXHTt2sGTJEl5++WVlui6Z1WnevDk//PADYFg7W1m15fhV9/upMt8L1eVRfqfUps9ZbYqltsUjsdw/FkMYnNC2bduWmJgYVCoVlpaWACQnJys9mx4eHiQnJyvzFxYW8uOPPzJ58mRMTExwd3cnKSlJmf/MmTOYm5vj6uqKRqPB3NyclJQU2rVrp6zb3d29SjGWlGhQqzVVPmC65YyBMcX6MKR+xu9pqKOhIiMj2blzJytWrKBv377K9JUrV3LmzBk2btyoTMvIyKBFixaAYe1sZdW241dd8TyuL/ISdRHnzp2jpETzSB+wUJuOU22KBWpXPBJL9TN40EKnTp147rnnCAsLIzMzk5iYGNLT0xkyZAgAAQEBnD59mpiYGDIzMwkLC6Np06Z07NgRgOHDhxMbG8uRI0dIS0sjPDycoUOHYmlpibW1NYMHDyY8PJyzZ89y5MgR4uLiCAwMNDRsIYSoVS5evEh0dDTBwcF4e3uTk5OjvPr06UNSUhIbNmzg8uXLbN++nQMHDvDuu+8ChrWz4vGQBywI8WgZ3ENrampKdHQ0s2fPJiAggGbNmhEZGUmjRo0AaNy4MREREcyfP5/o6Gi8vb2JiopSlh8wYABXrlxhzpw5FBUV0a9fP2bMmKGUh4WFER4ezttvv42trS2TJ0/Gz8/P0LCFEKJW+fe//41GoyE6Opro6GhluomJCT/++COrVq1i1apVrFy5EmdnZ5YvX67cocDQdlY8HvJwBSEenYdKaO+9d6GzszNbtmypcH4fHx98fHwqLA8ODiY4OLjcMisrKxYuXMjChQsfJlQhhDAK92sHAfr06UOfPn0qLDeknRVCCGNncA+tEEIIISqnRF3Ef//7v06hRzmeVoiniSS0QgghxGNSOpb2GvV+KODm9cssnvY6Xl7tajosIYyeJLRCCCHEY3T37SGFENWj5h8PIYQQQgghhAEkoRVCCCGEEEZNElohhBBCCGHUJKEVQgghhBBGTRJaIYQQQghh1CShFUIIIYQQRk0SWiGEEEIIYdQkoRVCCCGEEEZNHqwghBBC1IC7H4Mrj8AVwjDSQyuEEELUgNLH4J5j5vK9nD+fUdPhCGHUqi2h/fnnnxk9ejTe3t74+vqyadMmpSwrK4ugoCC8vLz+H3t3HhXFlf4N/MsyNCigLIKGCIoaNrEBEUUDLnGLS4gBnWg04pjpSUTR0ZiIJO5GEUWNgIo6uGSMW6txyYmjGWMMaFBAjC8SWVxwoW1UZBGa7b5/8Ouabnak6a5uns85HKWquuq5VdW3Hm5V3Yvx48cjISFB6bOJiYmYMGECPDw8MHPmTOTm5irN37t3L/z8/ODl5YXw8HCUlZWpKmxCCOENiUSC0NBQDBw4EP7+/li/fj3Ky8sBUD2qq8ys7GFmZa/pMAjReipLaENCQmBpaYmTJ08iPDwcW7ZswYULF8AYQ0hICGxsbCAWixEQEIC5c+fiyZMnAIDHjx8jJCQEQUFBEIvFsLS0REhICLfec+fOISYmBmvWrMG+ffuQlpaGyMhIVYVNCCG8wBhDaGgoZDIZDh48iKioKFy8eBFbtmwBAKpHCSGkESpJaJ8/f46cnBx89tlnsLe3xzvvvAM/Pz9cuXIFV69eRW5uLlatWgVHR0eIRCJ4eHhALBYDAI4ePQp3d3cEBwejV69eWLduHR49eoRr164BAPbv34+ZM2di6NChcHd3x8qVKyEWiyGTyVQROiGE8EJOTg7S0tKwbt069OrVC97e3ggNDcWZM2eoHiWEkCaoJKHt1KkTunfvDrFYjMrKSuTk5CAlJQWurq5IS0tD3759YWxszC3fv39/pKamAgDS0tIwYMAAbp6xsTFcXV2RmpqKqqoq3Lp1S2m+UChERUUFMjLoeSNCiO6wsbHBnj17YGlpyU1jjKGoqAhpaWlwc3OjepQQQhqgkoTWwMAA0dHREIvFEAqFGDduHPz9/REYGAipVIouXbooLW9paQmJRAIAkEqlsLGxUZpvbW0NiUSCoqIiyGQypfmGhobo3Lkz8vLyVBE6IYTwgpmZGYYMGcL9Xl1dje+++w6DBw+ut56kepQQQv5HJd12lZaWYsGCBfD19YVIJMKdO3ewevVq+Pr6oqysDEZGRkrLGxkZcS86NDZf/tJCY59vDgMDfaV/W/I5Q0N+dwTxumXTFlQ+7afrZWyrckVGRiIjIwPHjh1DfHw8b+pRTVP1+cSncrXmesOn7xmfYgH4FQ/FUj9VxKCShPbChQt4/vw5IiMjYWRkBDc3N0gkEmzfvh2DBg1CQUGB0vLl5eUwMTEBAAgEgjqVqkwmg7m5OVcB156v+PnmMDc3Ufq3JZ+zsNCOfgFbWjZtQ+XTfu2hjKoSGRmJ/fv3Y8uWLejduzcEAgFv6lG+UFU8fChXVWU5Hj68y8Xi6ur62n3S8qE8cnyKBeBXPC2JpaSkBOnp6QBad26oIhY+U0lC++TJE/To0UOpBcDFxQU7duyAra0tMjMzlZbPz8/nHkOwtbWFVCqtM9/V1RUWFhYQCATIz89Hz549AQCVlZUoKCio8xhDYwoLS1FVVY3CwtIWlauwsBQvXpS06DPqZmCgD3NzE66MuobKp/10vYzy8qnK6tWrcejQIURGRmLUqFEAwKt6VNNUfT619LrQFl69lGDz93kws5Ki6NkDbFocBC+v/i1aB5++Z3yKhW/xvE4sKSnJWBR5DABe69xQZSxtRRX1qEoSWgcHB9y/fx8VFRX4y1/+AqDmjd3u3btDKBQiLi4OMpkMAoEAAJCcnMy9oCAUCpGcnMytq7S0FLdv30ZoaCj09PTg7u6O69evc8vfuHEDhoaGcHZ2bnZ8VVXVqKysbvEBk39OG2hTrK+Dyqf92kMZWys6OhqHDx/G5s2bMXr0aG46n+pRvlBVPJq+kMuZWdmjc9c+AFpXNj4dJz7FAvArnpbEUlVVzfVV3BZl4NN+aQ2VPDgxfPhwmJqa4quvvsK9e/fw3//+Fzt37sSMGTPg4+ODbt26ISwsDJmZmYiLi8OtW7cQFBQEAAgMDERKSgri4uKQmZmJsLAwdO/eHT4+PgCAadOmYc+ePbhw4QJu3ryJFStWYMqUKVyl3lbkQxKmpiYjNTUZJSX8bqklhGi37OxsxMbGQiQSwcvLC1KplPvR1nqUtJzitYeuO4Q0n0paaI2MjBAfH4/Vq1cjKCgIVlZWmDNnDqZMmQIAiI2NRXh4OAIDA+Hg4IDo6Gh07doVAGBnZ4dt27bhm2++QWxsLLy8vBATE8Ote9y4cXj48CGWL1+O8vJyjBkzBosXL1ZF2I2qGZIwD2ZXi1H07AE2LPwAnp6qaeYnhJDafv75Z1RXVyM2NhaxsbHcdD09Pdy+fVsr61HScvJrD86m03WHkBZQSUILAN27d0dcXFy98+zt7XHgwIEGP+vv7w9/f/8G54tEIohEolbH2FKKt4AIIaQtNVXPaWs9SlqOhsIlpOU031cDIYQQQgghrUAJLSGEEEII0WqU0BJCCCGEEK1GCS0hhBBCCNFqlNASQgghhBCtprJeDgghhBCiGvL+aAHgrbecVT7cKSG6hlpoCSGEEJ6p6Y82HV9EHcedOxmaDocQ3qMWWkIIIYSHqD9aQpqPWmgJIYQQQohWoxZaQgghhKcUn6UF6HlaQhpCCS0hhBDCUzXP0ubB7GoxCiTZEAUI4eTkTIktIbXQIweEEEIIj5lZ2aNz1z4wMDSiF8UIaQC10BJCCCFagl4UI6R+KmuhLS8vx6pVqzBw4EAMHjwYUVFR3Lzc3FwEBwfD09MT48ePR0JCgtJnExMTMWHCBHh4eGDmzJnIzc1Vmr937174+fnBy8sL4eHhKCsrU1XYhBDCO+Xl5ZgwYQKSkpK4aWvWrIGzs7PSz7///W9uPtWjhJD2TGUJ7fr165GYmIjdu3dj06ZNOHr0KA4fPgwACAkJgY2NDcRiMQICAjB37lw8efIEAPD48WOEhIQgKCgIYrEYlpaWCAkJ4dZ77tw5xMTEYM2aNdi3bx/S0tIQGRmpqrCbRf5QfmpqMkpKStS6bUJI+yKTybBw4UJkZWVBT0+Pm56Tk4NFixYhISGB+wkMDASgHfUoIYS0JZUktC9fvsSRI0ewZs0auLu7w9fXF7NmzcLNmzdx5coV5ObmYtWqVXB0dIRIJIKHhwfEYjEA4OjRo3B3d0dwcDB69eqFdevW4dGjR7h27RoAYP/+/Zg5cyaGDh0Kd3d3rFy5EmKxGDKZTBWhNwt1cE0IUYesrCxMmTKlTusqAGRnZ8PNzQ1WVlbcj7GxMQDtqEcJIaQtqSShTU5OhqmpKby9vblpIpEIa9euRVpaGvr27ctVvADQv39/pKamAgDS0tIwYMAAbp6xsTFcXV2RmpqKqqoq3Lp1S2m+UChERUUFMjLUm1iaWdnTs0uEkDZ17do1+Pr6cne35IqLiyGRSODg4FDv57SlHiWEkLaikoQ2NzcXdnZ2OHnyJMaOHYuRI0ciNjYWjDFIpVJ06dJFaXlLS0tIJBIAgFQqhY2NjdJ8a2trSCQSFBUVQSaTKc03NDRE586dkZeXp4rQCSGEN6ZOnYolS5YoNQAANa2zenp62LFjB4YOHYqAgACcPHmSm0/1aPtCj8ERUpdKejkoKSnB/fv3ceTIEURERODp06dYtmwZTExMUFZWBiMjI6XljYyMUF5eDgCNzpe/tNDY55vDwEBf6d/WMDDQh6Ehf3o7U2XZ+IjKp/10vYzqKFdOTg4MDAzQq1cvzJgxA0lJSfj6669hamqKkSNHqrUe1TRVnE8lJSXcYAWZmX+qJC51kvdNW/VDGj6d5AFnZxfo6+vBx8eLF8eJb995PsXzOrEoLqvKHISP+6U1VJLQGhoaori4GJs2bUK3bt0A1LykcPDgQQwZMgQFBQVKy5eXl8PExAQAIBAI6lSqMpkM5ubmXAVce77i55vD3NxE6d/WMDc3gYUF/zqzVkXZ+IzKp/3aQxnbyqRJkzBq1CiYmpoCAN566y3cu3cP33//PUaOHKnWepQvWhNPVlY6FkUeg5mVPSQ512DrOKDpD/GMmZU9ip7lYtfp/wezxCIUPXuAXauNlR4t0TRdOmdUrSWxKC7bFjkIn/ZLa6gkoe3SpQsEAgGXzAJAjx49kJeXB1tbW2RmZiotn5+fzz2GYGtrC6lUWme+q6srLCwsIBAIkJ+fj549ewIAKisrUVBQUOcxhsYUFpaiqqoahYWlr1tEpXW9eMGfWzwGBvowNzfhyqhrqHzaT9fLKC9fW5Mns3I9e/bE1atXAai3HtU0VZxPhYWl3GAFRc/qvoCnTeTlkOPDceLbd55P8bxOLIq5iypzED7ul9ZQSUIrFAohk8lw79499OjRA0DNLbI333wTQqEQcXFxkMlkEAgEAGpeIpP/FSkUCpGcnMytq7S0FLdv30ZoaCj09PTg7u6O69evc8vfuHEDhoaGcHZ2bnZ8VVXVqKysVskBk6+Lb/gal6pQ+bRfeyhjW9myZQtu3LiBvXv3ctMyMjLg6OgIQL31KF+0Jh5NX7zbEp+OE59iAfgVT0tiUTxf26IMfNovraGSByccHR0xbNgwLFmyBBkZGbh8+TJ27dqFqVOnwsfHB926dUNYWBgyMzMRFxeHW7duISgoCAAQGBiIlJQUxMXFITMzE2FhYejevTt8fHwAANOmTcOePXtw4cIF3Lx5EytWrMCUKVO45JgQQnTdO++8g+vXr+Nf//oXHjx4gIMHD+KHH37A7NmzAVA9SgghKhv6duPGjVi9ejWmTZsGExMTTJ8+HdOnTwcAxMbGIjw8HIGBgXBwcEB0dDS6du0KALCzs8O2bdvwzTffIDY2Fl5eXoiJieHWO27cODx8+BDLly9HeXk5xowZg8WLF6sqbEII4T13d3ds3boVW7duxZYtW2Bvb4+oqCgIhUIAVI8SQojKElpTU1NEREQgIiKizjx7e3scOHCgwc/6+/vD39+/wfkikQgikUglcRJCiDao3UfsO++8g3feeafB5akebd+qKsuRnp6OwsJS9Or1Fjp25N/Ly4S0Jc331UAIIYSQVnn1UoLN3ydjUeQxGtGStEsqa6ElhBBCiObQaJakPaMWWkIIIYQQotUooSWEEEIIIVqNElpCCCGEEKLV2sUztC9fFqCiogpFRUWaDoUQQghpM1WV5fjzz/+9FPbWW87U4wFpF9pFQjv1b/MgsHJC3v0/0KXPME2HQwghhLSJVy8l2HM2D2ZXi1H07AE2LPwAnp79NR0WIW2uXSS05l16wOjNQSgoeqXpUAghhKhZSUkJ15XVW281f7hfbWVmZY/OXfsotdZSSy3Rde0ioVUVupVDCCHa586dDHwRdRxVlRUQBQg1HY7ayFtrcTadWmqJzqOEtgXoVg4hhGgHxVbZP//MgJmVPYqe5WLP2XS8eimBreMADUeoHtQ3LWkvKKFtIfmtHEIIIfwlb5U1s7KHJOcal8DWJHh6mg2OEKJy1G0XIYQQnSRvgOjQqaumQyGEtDFqoSWEEKL12tuLXy1BL4eR9kDlLbQikQhhYWHc77m5uQgODoanpyfGjx+PhIQEpeUTExMxYcIEeHh4YObMmcjNzVWav3fvXvj5+cHLywvh4eEoKytTdciEEMIr5eXlmDBhApKSkrhpVJc2Tv6IwRdRx7nEltSoef8jXWnflJSUIDU1GampySgpKdFwhIS0nkoT2rNnz+LXX3/lfmeMISQkBDY2NhCLxQgICMDcuXPx5MkTAMDjx48REhKCoKAgiMViWFpaIiQkhPv8uXPnEBMTgzVr1mDfvn1IS0tDZGSkKkMmhBBekclkWLhwIbKysqCnV/OsJ9WlzWNmZY8Onbrizz8zlHqkITX7RvEFMfoDgOgalSW0BQUF2LBhA9zd3blpV69eRW5uLlatWgVHR0eIRCJ4eHhALBYDAI4ePQp3d3cEBwejV69eWLduHR49eoRr164BAPbv34+ZM2di6NChcHd3x8qVKyEWiyGTyVQVNiGE8EZWVhamTJlSp3WV6tLmk7dGbjt4UdOh8I780YPU1GSu5wfqBYHoCpUltBEREXj//ffRu3dvblpaWhr69u0LY2Njblr//v2RmprKzR8w4H9dpxgbG8PV1RWpqamoqqrCrVu3lOYLhUJUVFQgI4P+miSE6J5r167B19cXhw8fVppOdWnLyFtqiTJ5sr9633VK+InOUUlCe+XKFaSkpGDOnDlgjHHTpVIpunTporSspaUlJBIJN9/GxkZpvrW1NSQSCYqKiiCTyZTmGxoaonPnzsjLy1NF2IQQwitTp07FkiVLlBJXgOpSojrU8wPRVa3u5UAmk2HFihVYtmwZBAIB98wXAJSWlsLIyEhpeSMjI5SXlwMAysrKGpwvf2Ghsc83l14bdDlYVVmOzMw/YWBQ8zeBk5Nm3hyVb1/+r66h8mk/XS+jOsrFh7qUL8evofOJL/FpIwMDfRgaqm7/8e07z6d4XicWxWVVeaz4uF9ao9UJbXR0NPr27YshQ4YAqHl5QZ7UCgQCvHz5Umn58vJymJiYcPNrV6gymQzm5uZc5Vt7vuLnm0tfX/UH69VLCXadzoNZYhGKnj3ArtUzlG7pqZu5ecv2ibah8mm/9lDGtmJsbIyCggKlaequS/l2/MzNTVBSUoL09HQAwMOHdzUckfYyNzeBhYXqG2T4eM7wRUtiUVy2LY4Vn/ZLa7Q6of3xxx+Rn58PT09PAEBFRQUA4KeffsKnn36KrKwspeXz8/O5W2e2traQSqV15ru6usLCwgICgQD5+fno2bMnAKCyshIFBQV1br01pbq6GgavVbrGKY4aVlhYihcv1N/1iYGBPszNTVBYWIqqqmq1b7+tUfm0n66XUV6+tmRra4vMzEylaequS/ly/AwM9GFgUI2kpBSkp6dj1+n/V2c0MNIyqr5+8e07z6d4XieWwsJSpf+r6ljxcb+0RqsT2gMHDqCqqgpATevsxo0bAQCLFy/Go0ePEBcXB5lMBoFAAABITk7mWjKFQiGSk5O5dZWWluL27dsIDQ2Fnp4e3N3dcf36dW75GzduwNDQEM7OLes0W+Gx3jZTVVWNykrNnRCa3n5bo/Jpv/ZQxrbSr18/jdelfDp+f/6Zjn9GHMWrlxLYOg5A5659UPQst+kPkjqqKsuRnp6OqqpqlJWVgjE9mJgYq2QABj6dMwC/4mlJLIrJZluUgU/7pTVandC+8cYbSr936NABenp66N69O+zs7NCtWzeEhYXhs88+w8WLF3Hr1i1EREQAAAIDA7Fnzx7ExcVh+PDhiImJQffu3eHj4wMAmDZtGpYtW4Y+ffrAxsYGK1aswJQpU7gKnRBC2oOBAwdSXVpLTXdTbfCCRDtT0/NBHsyuFkOScw0dOtmiqrICogAhnJycaWQxojVU/nCp4kth+vr6iI2NhVQqRWBgIE6fPo3o6Gh07VrzdqWdnR22bduG48ePY/LkySgsLERMTAz3+XHjxkEkEmH58uWYPXs2PDw8sHjxYlWHTAghvEZ1KWlLij0fmFnZw8DQqM7IYoTwXatbaGtbt26d0u/29vY4cOBAg8v7+/vD39+/wfkikQgikUhl8RFCiDao3Udse69LS0pKcOdOBgwM9OkFMDWgAReItlF5QksIIYSomnyoVnoBjBBSH0poCSGE8Ja8ZVY+VCu9AKY+8qFy5eh5WsJnlNASQgjhLXnLrLxHA6I+ii+MFT17gA0LP4CnZ39Nh0VIvSihJYQQwmvUo4HmKPa3TgifUUKrAoq3ZeiWDCGEEF2jq9c5+SMtcrpUtvZG8wP46oCa2zLUxQkhhBDdpKvXOfkjLav3Xde5srU31EKrItTFCSGEEF1mZmWvky219FiFbqCElhBCCCHNIn9RrOqHNG40sdpD5nbqZKbpMEk7RAktIYQQ3lHsrovwi5mVPYqe5WLP2XSlIXMBYMPCDzBggHb2RqGLrc/tCSW0KkR99hFCiGpQd138p9gvsJlVd6V5JSUlSElJRlVVtdZcC+WtzzibTl2UaSFKaFWI+uwjhBDVoe66tIu8UUc+PPHm75MBQKuuhbWfEwaocUpbUEKrYvRwOSGEkPZIsVFHPjyxNt7Gp8Yp7UQJLSGEEF5Q7BOUnp3VTrWHJ9bW2/jUOKV9VNYPrUQiQWhoKAYOHAh/f3+sX78e5eXlAIDc3FwEBwfD09MT48ePR0JCgtJnExMTMWHCBHh4eGDmzJnIzVUep3vv3r3w8/ODl5cXwsPDUVZWpqqwCSFEa5w/fx7Ozs5KP/PnzwfQ+nqWDxT7BN128KKmwyEqYmZlr7VdW8pbmFNTk1FSUqLpcEgjVJLQMsYQGhoKmUyGgwcPIioqChcvXsSWLVsAACEhIbCxsYFYLEZAQADmzp2LJ0+eAAAeP36MkJAQBAUFQSwWw9LSEiEhIdy6z507h5iYGKxZswb79u1DWloaIiMjVRE2IYRolaysLIwYMQIJCQncz9q1a8EYa1U9yyfylrEOnbpqOhSiQoqJoTYlh/IBJRZtOIzTp09qVeztjUoS2pycHKSlpWHdunXo1asXvL29ERoaijNnzuDq1avIzc3FqlWr4OjoCJFIBA8PD4jFYgDA0aNH4e7ujuDgYPTq1Qvr1q3Do0ePcO3aNQDA/v37MXPmTAwdOhTu7u5YuXIlxGIxZDKZKkJvM9r65SWE8Fd2djb69OkDKysr7sfU1PS169mkpCQNl4i0F/LEUBtH5DKzsoeBoZFOjpSmS1SS0NrY2GDPnj2wtLTkpjHGUFRUhLS0NLi5ucHY2Jib179/f6SmpgIA0tLSlPqsMzY2hqurK1JTU1FVVYVbt24pzRcKhaioqEBGBr9PKG3+8hJC+CknJwc9e/asMz0tLQ19+/ZtcT1748aNtg+akP+j2PqueBu/pKSEa/zhcwOQNj860R6o5KUwMzMzDBkyhPu9uroa3333HQYPHgypVAobGxul5S0tLSGRSACg3vnW1taQSCQoKiqCTCZTmm9oaIjOnTsjLy8PQqFQFeG3GXqonBCiKowx5OTk4PLly9i+fTuqq6sxduxYhIaGQiqVokuXLkrLN6eezcvLU1v8jaFBFNqX2i+KAcAXUcf/b8AG6lWAvJ426eUgMjISGRkZOHbsGOLj42FkZKQ038jIiHthrKysrMH58pe/Gvt8c+jxoBtDAwN9GBqq7B08pfUq/qtrqHzaT9fLqK5yPX78GGVlZRAIBNi6dSsePnyINWvWoKysrNF6FGi8nm2utixndvYdGkShnZH395qZ+Sf3u7wBSNXXy8bqoJae1/KY5Z9zcmpZV2SvUx8qLqvKfcOnulkVMag8oY2MjMT+/fuxZcsW9O7dGwKBAAUFBUrLlJeXw8TEBAAgEAjqVKoymQzm5uZcBVx7vuLnm0NfX/MHy9zcBBYWbdf/nrl58/eHNqLyab/2UMa2ZGdnh+vXr8PU1BQA4OzsjOrqaixevBiTJk1CaWmp0vJN1bPl5eUwNzdv9vbb8viZm5vQIArt0KuXEuw6naf0h0xVZTkePryLv/ylZhn5Oezq6trqPmzrO4dbel7LYzZLLEKBJBufzxgEV1fXFsfXku0qLtsWuYSu1M0qTWhXr16NQ4cOITIyEqNGjQIA2NraIjMzU2m5/Px87vaYra0tpFJpnfmurq6wsLCAQCBAfn4+99xYZWUlCgoK6txea0x1dTUMWlOwVqqqLEdSUgoKC2suOC39i64xBgb6MDc3QWFhKaqqqlWyTj6h8mk/XS+jvHzqIE9m5RwdHSGTyWBtbY3s7GyleU3Vs1KpFC4uLs3edlseAdPXxQAAIABJREFUP3ndSNqf2n/IvHopwebv8/Dq5Y/o0MkWZlb2KJBk49NJHnB2dnmt62djddDrnHuKfe3WjIaWjE2Lg+Dl1fRjEq9THyrGWFhYihcvVPOMMZ/qZlXUoypLaKOjo3H48GFs3rwZo0eP5qYLhULExcVBJpNBIBAAAJKTk7kXFIRCIZKTk7nlS0tLcfv2bYSGhkJPTw/u7u64fv06t/yNGzdgaGgIZ2fnZsfGmCpK+PoU/6Jrq+eDqqqqUVmpe8mCHJVP+7WHMraly5cv4/PPP8elS5e4l79u374NCwsLeHt7Iz4+/rXq2eZqy+On6Ysp4Rd5kmtm1Z1LHHed/n/A6f/Xqutnfedwa889+UtiLf1+tGR5xRjb4nuoK3WzSu7FZ2dnIzY2FiKRCF5eXpBKpdyPj48PunXrhrCwMGRmZiIuLg63bt1CUFAQACAwMBApKSmIi4tDZmYmwsLC0L17d/j4+AAApk2bhj179uDChQu4efMmVqxYgSlTpnCVtraQ/0VHb0gSQl6Hl5cXTExMEB4ejrt37+LSpUuIjIzEJ5980up6VhMU32ynl8FIU8ys7Ov0jsAXNPgCP6gkof35559RXV2N2NhYvP322/Dz84Ofnx/8/f2hr6+P2NhYSKVSBAYG4vTp04iOjkbXrjWdZtvZ2WHbtm04fvw4Jk+ejMLCQsTExHDrHjduHEQiEZYvX47Zs2fDw8MDixcvVkXYhBCiNTp27Ijdu3fj+fPnCAwMxFdffYUPP/wQs2fPbnU9qwk0KhhpKXl3mHzrCpOvcbU3KnnkQCQSQSQSNTjf3t4eBw4caHC+v78//P39X3v9hBDSHvTu3Rvx8fH1zmttPasJis8iEtIcfL3Lyde42pM26baLNEx+awIA3npLdS+HEUIIIURzFK/vAF3j1U3z/Vm1M3RrghBCCNE9NEKoZlELrQbQrQlCCCFE98gfo6nvbmxJSQmys+/A3NwE3bo5QCDQjf5f+YISWg2hWxOEEEKIbpIP71v1QxpEAUI4OTnjzz8zsOdsOgBg0+Ig9OvnqeEodQsltBoiP9nNrhbT2NWEkHajpKQEd+5kUFddROeZWdmj6Fku9pxNh9nVYkhyrsHWcQCqKsuRkXEbVVXV1JilQpTQalB9tyYAaq0lhOgueXddisOdEqLLavfmIR9sCWjdQBFEGSW0PECttYSQ9qT2cKeEtDdmVvb1NmYBUHqZTD6NNI0SWp5o7EFyQgghhNTQlbuaio1ZBZJsiAKEAFDziIKVPdfARZqHElqekZ/gOJtOLbWEEEJILbp0V1PxcYQ9Z9O5R3E6d+2j6dC0DiW0PNTQrQht/AuUEEIAehmMqJY8EdQltR/FqZ0HkMZRQstT9d2KcHKqeZaGkltCiLahl8EIaRl5HiD/zigmuGVlpWBMDyYmxpQT/B9KaHms9q2I+pJbV1dXWFjQiUwI4T96GYyQllH8zig2dElyrqFDJ1tUVVZwOUF7T2wpodUS9SW3Rc8eYNNifbz5po2mwyOEEEJIG1PMBcysunM5geIADvLWWz09xrXitocWXa1IaGUyGVauXInz589DIBBg9uzZmDVrlqbD0hjFHhEyMm7jL38BCgtLYWQkAECPJBBC6qJ6lBDdVN8ADh062eLVSwk6dLKFmZV9nRZdBwcH6Ovrw9bWEoWFpejV6y2tzxu0IqHdsGED0tPTsX//fjx69Ahffvkl3njjDYwZM0bToWmUvHPmV9/9lztpFR9JaA9/kRFCmkcT9aj8RTAA9HILIW2sdustoAczq+71tui+enmRyxu0vacIOd4ntK9evcKxY8ewe/duuLi4wMXFBZ988gm+++67dp/QAv97vkbxpK39V5riMzaKSS5ArbmEtAeaqkflL4LJW4joZTBCNK923qAreJ/QZmRkoLKyEp6entw0Ly8v7NixQ4NR8VtDz9goJrkNteY29MwNQMkvIdpK3fWoYhddtYf9JISQtsD7hFYqlcLCwgKGhv8L1draGjKZDC9evICFhYUGo9MetZPchlpz63vmRjH5dXBwqDfhre//iskx8L+EWH6xo4SZEPVQdz1KXXQRQtSN9wltaWkpjIyMlKbJfy8vL2/WOvQUeokpevYAAPDqZR4AhlcvJQCY0rSG/t/Ustq4rg6dbJu1D2Ulz7Fl/zmUlbyAcUcLdDC3wfMnfzb6f8VlXxU+xcLgsXB2dkFGxm1E7f2pwfmK9PX1YGpqjOLiMlRXs2bFqk10vXyA9pfRy6vx58oMDPTVFMnrU0U92pxyFhYWorxchqKil9y0hurc+uqlxqapcnld2TaVo+b8ysw0a/T8bKwOysz8s1l5gS4fj6JnD2Bg4ANDQ83VZaqoR3mf0AoEgjoVrvx3ExOTZq3jp0NR//e/AFWGRl7TO+/4IyTkH5oOg5B2QxX1qLl508vJ+8Tu06cHAgOpviX8V3M90nQURBV437Rga2uLFy9eoLq6mpsmlUphbGwMc3NzDUZGCCHagepRQoiu431C6+LiAkNDQ6SmpnLTkpOT4e7ursGoCCFEe1A9SgjRdbxPaE1MTPD+++9jxYoV+OOPP3DhwgXEx8dj5syZmg6NEEK0AtWjhBBdp8cY4/1bGmVlZVixYgXOnTsHc3NzzJ49Gx9//LGmwyKEEK1B9SghRJdpRUJLCCGEEEJIQ3j/yAEhhBBCCCGNoYSWEEIIIYRoNUpoCSGEEEKIVqOElhBCCCGEaDVKaAkhhBBCiFbT2YRWJpNh6dKlGDBgAN5++23Ex8drOqRWOX/+PJydnZV+5s+fDwDIzc1FcHAwPD09MX78eCQkJGg42uYrLy/HhAkTkJSUxE1rqjyJiYmYMGECPDw8MHPmTOTm5qo77Bapr4xr1qypczz//e9/c/O1pYwSiQShoaEYOHAg/P39sX79em5IVV04jo2VT1eOYWP4VI82diw0SSQSISwsTKMxlJeXY9WqVRg4cCAGDx6MqKiopj/URu7evYtZs2bBy8sLI0aMwL59+9Qew+tcV9QZy40bN/Dhhx/C09MTY8eOxdGjRzUWi1xRURH8/Pxw4sQJtcTSUDxPnjyBSCSCh4cHRo0ahR9//LH5K2Q6atWqVSwgIIClp6ez8+fPMy8vL/bTTz9pOqzXFhsbyz777DOWn5/P/RQVFbHq6mo2ceJEtnjxYpadnc127tzJPDw82OPHjzUdcpPKyspYSEgIc3JyYklJSYwx1mR5Hj16xDw8PFh8fDzLyspiCxYsYBMnTtRkMRpVXxkZY2zWrFksLi5O6XiWlpYyxrSnjNXV1WzKlClMJBKxrKwsdu3aNTZ69GgWERHBGGNafxybKl9wcLDWH8Om8KUebepYaMqZM2eYk5MTW7JkiUbjWLlyJRszZgy7efMmS0xMZIMGDWKHDh3SSCzvvvsuW7hwIbt//z67cOEC8/DwYOfPn1fb9l/nuqLOWJ4+fcq8vb1ZVFQUu3//Pjt79izr168f++WXX9Qei6Kvv/6aOTk5sRMnTrRpHI3FU1lZySZOnMjmzJnD7t69yw4dOsTc3NzYnTt3mrVOnUxoS0pKWL9+/ZQOWmxsLJs+fboGo2qdRYsWsaioqDrTExMTmYeHB3chZazmQrtt2zZ1htdimZmZ7L333mPvvfee0gndVHm2bNnCZsyYwc0rLS1lXl5e7Pfff1dvAZqhoTIyxpi/vz9LSEio93PaUsasrCzm5OTEnj17xk07c+YM8/PzY1euXNH649hY+RjTjWPYGD7Vo00dC0148eIF8/f3Z0FBQRpNaAsKCpibmxu7du0aN23nzp1s6dKlao/l2bNnzMnJiWVmZnLT5s2bx1atWqWW7b/udUWdsRw8eJCNGzdOadmvv/6aLVq0SO2xyMn/QBwyZIhaEtqG4vnvf//LvL29WXFxMbfsnDlz2JEjR5q1Xp185CAjIwOVlZXw9PTkpnl5eeHmzZsajKp1cnJy0LNnzzrT09LS0LdvXxgbG3PT+vfvrzRmOx9du3YNvr6+OHz4sNL0psqTlpaGAQMGcPOMjY3h6uqKGzduqCfwFmiojMXFxZBIJHBwcKj3c9pSRhsbG+zZsweWlpbcNMYYioqKkJaWBjc3N60+jg2Vr7i4WGeOYWP4VI82dq5pSkREBN5//3307t1bYzEAQHJyMkxNTeHt7c1NE4lEWLt2rdpj6dSpE7p37w6xWIzKykrk5OQgJSUFrq6uatn+615X1BmLv78/1q1bV2f54uJitccC1Nz2X7ZsGZYvXw4jI6M2i6E58fz+++/w9fVFx44duWkxMTGYPHlys9ZrqNIoeUIqlcLCwgKGhv8rnrW1NWQyGV68eAELCwsNRtdyjDHk5OTg8uXL2L59O6qrqzF27FiEhoZCKpWiS5cuSstbWlpCIpFoKNrmmTp1ar3TmyqPVCqFjY2N0nxra2vk5eW1TaCt0FAZs7Ozoaenhx07duDXX39F586dMWvWLLz//vsAtKeMZmZmGDJkCPd7dXU1vvvuOwwePLjeMmjbcWyofL6+vjpzDBvDp3q0sXNNE65cuYKUlBScOnUKy5cvh56enkbiAGqeDbWzs8PJkyexY8cOVFZW4oMPPsBnn32m9rgMDAwQHR2NGTNmYP/+/aiqqsIHH3yAwMBAtWz/da8r6ozFzs4OdnZ23O/Pnj3D2bNnERoaqvZYAGDHjh1wdXVV63epoXgePnyIN954Axs3bsSpU6dgYWGBefPmYeTIkc1ar04mtKWlpXX+0pD/zoeXCFrq8ePHKCsrg0AgwNatW/Hw4UOsWbMGZWVlKCsrq7es2lhOoOFjJy+PLpQ3JycHBgYG6NWrF2bMmIGkpCR8/fXXMDU1xciRI7W2jJGRkcjIyMCxY8cQHx+vc8dRsXx//PGHTh5DRXyuRxWPhbrJZDKsWLECy5Ytg0Ag0GgyCwAlJSW4f/8+jhw5goiICDx9+hTLli2DiYkJZs2apdZYSktLsWDBAvj6+kIkEuHOnTtYvXo1fH19MXHiRLXGUjsuPn4fy8rKMG/ePNjY2ODDDz9U+/azsrJw+PBhnD59Wu3brk9xcTFOnDiBcePGYefOnbh69Srmz5+Pw4cPo2/fvk1+XicTWoFAUOdElf9uYmKiiZBaxc7ODtevX4epqSkAwNnZGdXV1Vi8eDEmTZqE0tJSpeXLy8uVbq1oE2NjYxQUFChNKy8v545bQ8fW3NxcbTG21qRJkzBq1CjueL711lu4d+8evv/+e4wcOVIryxgZGYn9+/djy5Yt6N27NwQCgU4dx9rl6927t84dw9r4Wo/WPhbqFh0djb59+3ItxowxjSa1hoaGKC4uxqZNm9CtWzcANY0gBw8eVHtCe+HCBTx//hyRkZEwMjKCm5sbJBIJtm/frtGEtqHriiavkyUlJZgzZw4ePHiAgwcPQiAQqHX7jDF89dVXCA0NrfMoj6YYGBjAwsICK1euBAC4uLjg+vXrOHLkSLMSWp18htbW1hYvXrxAdXU1N00qlcLY2FirLiiK5BdOOUdHR8hkMlhbW0MqlSrNy8/Pr3O7U1vY2trWWx757aL65td3O4nvah/Pnj17cre/tK2Mq1evxt69exEZGYlRo0YB0K3jWF/5AN06hvXhYz3a0LFQpx9//BEXLlyAp6cnPD09cebMGZw+fRpeXl4aiadLly4QCARcMgsAPXr00MjjLU+ePEGPHj2UWkNdXFzw+PFjtceiqKH6SFPXyeLiYsyePRvZ2dnYt28f7O3t1R7D48ePcePGDaxfv547l588eYLly5dDJBKpPR6g5ln52u8l9OjRA0+ePGnW53UyoXVxcYGhoaHSA9/Jyclwd3fXYFSv7/Llyxg4cCDKysq4abdv34aFhQW8vb2Rnp4OmUzGzUtOToaHh4cmQm21fv36NVoeoVCI5ORkbl5paSlu376tVeXdsmULgoODlaZlZGTA0dERgHaVMTo6GocPH8bmzZsxbtw4brpQKNSJ49hQ+XTpGDaEb/VoQ8dC3Q4cOIAzZ87g1KlT+OGHHzBixAiMGDECP/zwg0biEQqFkMlkuHfvHjctJycHb775ptpjcXBwwP3791FRUaEUS/fu3dUei6KmrivqVF1djblz5+LRo0c4cOAAevXqpfYYAKBr1644f/48Tp06xZ3LNjY2mD9/PtasWaORmDw8PJCZman0R3R2dnbzz2XVdsbAH8uWLWMTJkxgN2/eZOfPn2f9+/dXa194qlRcXMyGDh3KFi5cyHJyctgvv/zC/Pz82O7du1lVVRUbP348++c//8nu3LnDdu7cyby8vNiTJ080HXazKXbb0VR5Hj58yPr168d27tzJ7ty5w+bPn88CAgI0GX6zKJbx5s2bzM3Nje3Zs4fdv3+f/fvf/2bu7u7sxo0bjDHtKWNWVhZzcXFhW7duZVKplD19+pT70YXj2Fj5dOUYNoUv9Whjx0LTvvzyS433Q/uPf/yD/fWvf2W3b99mv/76K/P19WUHDhxQexwymYy988477IsvvmB3795lP//8Mxs4cCA7fPiw2mNpyXVFnbEcPnyYubi4sF9++UXpPH7x4oXaY6lt+PDhauuHtr54ioqKmJ+fH/v666/ZvXv32Hfffcfc3NxYenp6s9alswltaWkp+/LLL5mHhwfz9/dn+/bt03RIrZKZmcmCg4OZp6cne/vtt1lMTAw37/79+2z69OnM3d2dTZgwgSUmJmow0par/QVrqjyXLl1iY8aMYUKhkM2aNYs9fPhQ3SG3WO0yXrhwgU2cOJG5u7uz8ePH10kStKGMO3fuZE5OTnV+nJ2dGWPafxybKp8uHMOm8KUebepYaNKSJUs0ntAWFRWxL774gnl6erLBgwcrXR/U7cGDB+zvf/8769+/Pxs9erTGzpmWXlfUFcvs2bOZs7NznXNZsd9qdcVSm6YTWsZq/niVH6exY8e26A9onU1o+WL69Ol1Tlw3Nzc2bNgwtnLlSvby5UuNxOXk5KS2wRdql9/V1ZX5+Piwv/3tb+zixYtKy+bm5rZ4tJKYmBi2e/fuJpcbPnw4d+GRb+f48eMtKkt97ty5w/76178qTVPn/tUGYrGYOTk5sUePHjHGGPv222+Zk5OThqMiuo7qX6p/Sfuhk70c8I2rqytWrFjB/V5eXo5bt25h8+bNSE9Px6FDh9Qe05EjR2Bra6u27U2ePJnrHLm8vBxSqRTHjh3Dp59+ivDwcMyYMQNAzUPhR44cadEzV99++y3mzp3b5HKxsbFKHTYDUMnbyT/99FOdDvPVvX+1zZQpUzB06FBNh0HaAap/qf4l7QMltGpgamqKfv36KU3z9vbGq1ev8O233yItLQ1CoVCtMdWOp63Z2trW2ea7776L0NBQREREYMSIEbCzs4ORkVGbxebs7Nwm662PuvevtrG1taULDlELqn+p/iXtg072cqAt3NzcAECpS5MLFy7ggw8+QL9+/fD2229j7dq1Sv3Mbtu2DaNHj8Yvv/yCiRMnwt3dHWPGjKnzhu2+ffswduxY9OvXD/7+/li5cqXS0HrOzs6Ijo7mfn/69CnCwsIwbNgwCIVCTJ48Gf/973+V1uns7IyDBw8iPDwcAwcOhJeXFxYsWIBnz5699j745z//icrKSq6D9IcPH8LZ2RknTpwAUPNG6ObNmzFixAi4u7vjnXfeQVRUFCorK7mYgJo3oF1cXJT2UXR0NHx8fODn54fCwkKMGDECYWFhStvPy8vDP/7xDwiFQgwbNgzbtm1TesOy9n6Sr1++3W3btiEmJqbOsprav5mZmXB2dsaRI0eUpj958gQuLi44c+YMt4/PnTuHOXPmwNPTE0OGDMH27dtRXFyMpUuXwtvbG0OGDMHGjRuV1iOTybBhwwYMHToU7u7ueO+99/Djjz8qLVNdXY3t27dj+PDh8PDwwJw5c/Dy5csG9yEAVFVVIS4uDhMmTIBQKISnpyc+/PBD/P7770qfac65T0hzUP1L9a+q929z6l95PP/85z8xcOBA+Pj4YPny5dx+bm7ZT58+DWdnZ2RmZiotc+HCBTg7OyMjI6PZcesKSmg16O7duwDA9UF3+vRpzJ07F71790ZsbCzmzp2LU6dOYc6cOUqfk0qlWL16NYKDgxEXF4c333wTX375JXJycgAAZ86cwcaNGzFjxgz861//QkhICH744YcGu+LIz89HUFAQUlJSsHDhQmzbtg12dnYICQmpM4LI5s2bwRjD5s2b8cUXX+DixYv45ptvXnsf9OzZE2+88QZSUlKUpstvRe3atQuHDh3CvHnzEB8fj6lTp2LPnj3Yvn07AHBjQU+ePFlpXOjHjx/j8uXL2Lp1K8LCwhrsN3Pbtm3o0qULYmNjERgYiB07diAiIqLJuOXxTZkyBUFBQQBqbnPVN+a0Ovdvnz59IBQK61xgT548CVNTU4wePZqb9tVXX8HZ2Rk7duyAr68vtm7dismTJ6NDhw6Ijo7G6NGjsXv3bvz0008AajrcDgkJweHDh/G3v/0NO3bsgKenJxYuXIiTJ09y642MjOTG346JiYGlpSU2bdpU5/ai4u8bN27E9u3bueO7evVqvHz5EqGhoUpd7TR17hPSXFT/Uv2rifq3vLwcM2fOxI0bNxAeHo5169YhIyMD8fHxzXoEQ77MyJEj0aFDB5w9e1Zp/pkzZ9CnTx+1tojzBT1yoAaMMVRVVXEjcLx8+RJJSUnYvn07PD094ebmBsYYNm7cCH9/f2zYsIH7rIODA2bNmoVLly5xzxyWlpZi7dq1GDRoEICajoeHDx+OX3/9FY6OjkhKSsKbb76JadOmQU9PD97e3ujQoQMKCwvrjS8+Ph4FBQU4fPgw1zm3v78/Zs2ahYiICKURXpycnLgv+ODBg3Hz5k0u4XldVlZWyM/Pr3deUlIS+vbti0mTJgGouVVoYmLCVZDyW4W1b6lVVlbiyy+/bLKzcz8/P+5CM2TIEBQXF+PgwYMICQlptPN4+bFUvHXe0G0ude/fwMBALF++HA8fPuT67zt58iTGjRun1OG5v78/N3547969cebMGVhbW+Orr74CAAwaNAinT59Gamoqxo4di8TERPz222/YsmULxo4dy+2z0tJSbNq0Ce+99x6Ki4tx4MAB/O1vf+MSgSFDhkAikeDy5cv17kOgJklYuHAhPvroI26akZERQkND8eeff3L7tqlzn5DaqP5tHNW/6q1/jx07hrt37+L48eNwdXUFUFPXjhw5slnrl5fdxMQEY8aMwY8//ogFCxYAqBl97OLFi5g3b16LYtYV1EKrBteuXYObmxv69u3LDZm4aNEiuLu7IyoqCkBN59MSiQTDhw9HZWUl9zNgwAB07NgRCQkJSuv09PTk/i//Qr969QpAzZfj7t27+OCDDxATE4M//vgDEydOVEoWFCUlJcHT01NppBkAmDhxIvLz85Gdnc1Nq90Rta2tbZ2hd1uKNTJ05KBBg5CQkICPPvoIe/bsQVZWFj766KNmDaMovwXWmNodtI8aNQoVFRV1XjJoDXXv33HjxsHY2JhrJUhJScH9+/fxwQcfKC2neA5ZWVkBqHtRMDc35y7EV65cgZ6eHvz9/ZXO0eHDh0MqleLOnTu4ceMGN02RPAFuiLxF6/nz57h+/TrEYjFOnToFAHWGX23s3CekNqp/G0f1r3rr36tXr8Le3p5LZgGgY8eOGDZsWIuHnX3vvffw4MED/PHHHwCAn3/+GRUVFRodZliTqIVWDdzc3LBq1SoANbcL5MMUdujQgVtGPs70ypUruXGM5fT09OoM26c47rO+fs3fJfJnj8aNGwfGGA4ePIjY2FjuFsvnn3+Od999t058L1++rHfoPWtrawBAUVERN6322Nf6+vqtHvs5Ly8PTk5O9c775JNP0KFDB4jFYmzcuBGRkZHo06cPvvrqKwwcOLDR9TZnvPnaQ5HKx7RuqDXldah7/5qammLs2LE4deoUQkJCcPLkSTg6OtZ58aX20K1A4/usoKAAjLF6W1309PTw9OlT7llZCwsLpflNDfn6xx9/YOXKlbh16xZMTEzQp08fdO3aFUDdscUbO/cJqY3q38ZR/ave+vfFixdcORXJGxVaYtCgQbC1tcXZs2fh7u6Os2fPYuDAge32hVtKaNWgY8eO3AsIDZHfXvnyyy/h4+OjNI8xhk6dOrVom+PHj8f48eNRXFyM3377Dbt27cLixYvh7e1dpxLp1KlTnQobADetdnKiSllZWcjPz+e6jalNT08PH330ET766CM8f/4cly5dwo4dOzBv3jwkJibC0LB1p7D8QiYnv/WmWLnUTpZa2hqoif0bGBiIEydO4I8//sC5c+fw97//vdXrNDMzQ4cOHXDgwIE68xhjcHBwQFpaGoCa/dijRw9ufu39rKi4uBiffPIJXFxccPbsWW4oyEuXLuE///lPq+Mm7RvVvw2j+lf99a+trS2SkpLqfKa+l8+aKruenh4mTpyIM2fO4NNPP0VCQoLGhq3lA3rkgCccHR1hZWWF3NxcuLm5cT+2trbYvHlzi95Y/Pzzz7l+AeV/LX722WeorKzE06dP6yzv4+OD1NRUpbd9AeDUqVPo0qULHBwcWle4Rnz77bcwMTHB+++/X+/86dOnc19QS0tLTJo0CdOmTUNhYSH31rC8heR1/PLLL0q/nz17FiYmJtytd1NTUzx58kRpmZSUFKVbdE1tXxP719vbGw4ODtiwYQNKSkoQEBDQ6nX6+Pjg1atXqK6uVjpHMzMzERsbi6qqKnh6esLY2LjOc2cXL15scL05OTl4+fIlPv74Y6VxzX/99VcA1PpK2h7Vv1T/qlJj9a+Pjw8ePnyodE6VlZXh8uXLSuVqTtkBICAgAHl5eYiOjoahoaHSi7/tDbXQqkFzblkYGBhgwYIFWL58OfT19TF8+HAUFhZi+/btkEgkSs/bNOXtt9/GkiVLEBERAX9/fxQWFiI6OhoODg71vvme++OmAAAgAElEQVQ4a9Ys/PDDDwgODsbcuXPRqVMnnDx5Er///jvWrVvXorI2JC8vj3suqrKyEhKJBCdOnEBCQgJWrVrV4C2SQYMGYceOHejSpQs8PDwgkUgQHx8PHx8fdO7cGUBNy2FKSgqSkpLqtK405T//+Q9sbW3h6+uL3377DUeOHMGCBQu4DsCHDRuGH3/8ER4eHrC3t8fx48fx4MEDpWMqb905c+YMhEJhnU7JVbl/pVIpHj16hN69e9f7yICiwMBAREVFYejQoU3e8m+OYcOGYcCAAZgzZw7mzJkDR0dH3Lx5E9HR0fDz8+OOx5w5c7BlyxaYmJhg4MCBuHTpUp0Ll6KePXvC1NQU27dvh4GBAQwMDHDu3Dn8/PPPAOj5WNI6VP9S/cun+nfixInYtWsX5syZgwULFsDMzAzx8fF4/vw57OzsuOWaU3agpmcFFxcXfP/993j33XeVHqVpbyihVYPmjoYyefJkmJqaYvfu3Thy5Ag6dOiA/v37Y9OmTdyJrqen1+T63n//fZSWluLgwYP4/vvvIRAIMHjwYHzxxRcwMDCos7y1tTUOHTqETZs2Yc2aNaioqICzszPXl2hTZWtO+cRiMdfXob6+Pjp37gwPDw/s3bu30WexQkJCYGBggOPHjyMmJgZmZmYYMWIEPv/8c26Zzz77DLGxsfjHP/7BdWHS3O5PwsPDcfbsWezduxc2NjYIDw/H9OnTuWXCwsJQWVmJiIgIGBoaYvz48Vi0aBG+/vprbpkxY8bg1KlTWLJkCSZPnozly5crbUeV+/fs2bNYv349Dhw4gAEDBjT62aFDhyIqKqrOy2CvS09PD3Fxcdi6dSt27tyJZ8+eoWvXrggODkZISAi3nEgkQocOHbBv3z7s27cPXl5eWLp0KZYtW1ZvuczMzBAbG4sNGzZg/vz5MDU1xahRo3DmzBmMHTsWycnJ3H5SxchCpH2h+pfqXz7VvwYGBtizZw/Wrl2LFStW4C9/+QsmTpwICwsLriu55pZdLiAgABEREXjvvfcajUnnqWoM3f/85z91xowODQ1ljDH24MEDNnPmTObh4cHGjRvHfvvtN6XPJiQksPHjxzOhUMg+/vhj9uDBA6X58fHx7O2332aenp5s6dKlrLS0VFVhE6J15s6dy9LS0ppcbufOnWzIkCGsoqJCDVERVZDJZGzlypXMx8eH+fr6sk2bNnHzqB4lRPNaW/9mZmayn376qc7ygYGBbN68eSqLsz1S2TO0WVlZGDFiBBISEriftWvXcp2x29jYQCwWIyAgAHPnzuWeDXn8+DFCQkIQFBQEsVgMS0tLpdaec+fOISYmBmvWrMG+ffuQlpaGyMhIVYVNiFa5desW7ty50+BbyQBw4sQJREREICYmBh9//HGrX9wg6rN+/XokJiZi9+7d2LRpE44ePcp1WE/1KCGapYr6t6SkBAsWLMDq1atx5coV/Pbbb1i6dCnS09OVWqfJa1BVZrxo0SIWFRVVZ3piYiLz8PBQag0IDg5m27ZtY4wxtmXLFjZjxgxuXmlpKfPy8mJJSUmMMcamTZvGLcsYY9evX2dCoZCVlZWpKnRCtMbTp0/Z06dPG11m3bp1TCgUssWLF7PKyko1RUZaq6CggLm5ubFr165x03bu3MmWLl1K9SghPKCq+venn35ikydPZl5eXszT05NNnz6dJSQktEXI7YrKmm5ycnLw9ttv15melpaGvn37KvXv1r9/f6SmpnLzFZ9FMTY2hqurK1JTU+Hl5YVbt25xoxkBNSOTVFRUICMjo06/moTouua83LVkyRIsWbJEDdEQVUpOToapqSm8vb25aSKRCACwY8cOqkcJ0TBV1b9jxozBmDFjVBUW+T8qeeSAMYacnBxcvnwZY8aMwahRo7Bp0yZUVFRAKpXW23myRCIBUPPWoI2NjdJ8a2trSCQSFBUVQSaTKc03NDRE586dkZeXp4rQCSGEF3Jzc2FnZ4eTJ09i7NixGDlyJGJjY8EYo3qUEEKaoJIW2sePH6OsrAwCgQBbt27Fw4cPsWbNGpSVlaGsrExp/HigZox2+XCWjc0vKyvjfm/o84QQogtKSkpw//59HDlyBBEREXj69CmWLVsGExMTqkcJIaQJKklo7ezscP36da5fNmdnZ1RXV2Px4sWYNGlSnbGQy8vLuWHxBAJBnUpVJpPB3Nycq4Brz1f8fFNYI+NUE0IIXxgaGqK4uBibNm3ixp1//PgxDh48iCFDhtQZVYnqUUII+R+VPUNbu5NhR0dHyGQyWFtbIzs7W2lefn4+d/vM1ta2zrB0+fn5cHV1hYWFBQQCAfLz89GzZ08ANZ1CFxQUNLujeD09PRQWlqKqSjdHGzIw0Ie5uYnOlpHKp/10vYzy8rVWly5dIBAIuGQWAHr06IG8vDzY2toiMzNTafn2Uo9q8vxpr9vW9Pbb67Y1vX0+bLs1VJLQXr58GZ9//jkuXbrEvbRw+/ZtWFhYwNvbG/Hx8ZDJZBAIBABqXn6Qv8AgFAqRnJzMrau0tBS3b99GaGgo9PT04O7ujuvXr3PL37hxA4aGhvWOuNKQqqpqVFbq3oVUka6Xkcqn/dpDGVtDKBRCJpPh3r176NGjB4Cal23ffPNNCIVCxMXFtet6VJPbb6/b1vT22+u2Nb19TZf9dankpTAvLy+YmJggPDwcd+/exaVLlxAZGYlPPvkEPj4+6NatG8LCwpCZmYm4uDjcunULQUFBAGqGh0tJSUFcXBwyMzMRFhaG7t27c0PoTZs2DXv27MGFCxdw8+ZNrFixAlOmTOEqdUII0QWOjo4YNmwYlixZgoyMDFy+fBm7du3C1KlTqR4lhJAm6DHWjIGumyErKwtr165FWloaOnbsiKlTp2LOnDkAgAcPHiA8PBxpaWlwcHDA0qVL4evry332119/xTfffIO8vDx4eXlh9erVSmMax8XFYd++fSgvL8eYMWOwbNmyOi84NObFixKt/GujOQwN9WFh0VFny0jl035tXcaSkhLcuZMBAHjrLWduHHh1kZdPFYqLi7F69WqcP38eJiYm+Oijj9p9ParJ70h73bamt99et63p7fNh262hsoSWzyhZ0F5UPu3X1mVMTU3GF1HHAQAbFn4AT8/+Kt9GY1SZ0PIZXeDbz7Y1vf32um1Nb58P227VOlQUCyGEaIyZlb2mQyCEEKJBKnmGlhBCCCGEEE2hhJYQQgghhGg1SmgJIYQQQohWo4SWEEIIIYRoNXopjBBCCCGENEnT3SQ2hlpoCSGEEEJIk+7cycAXUcfxRdRxLrHlC2qhJYQQQgghzcLXbhKphZYQQgghhGg1SmgJIYQQQohWo4SWEEIIIYRoNUpoCSGEEEKIVqOElhBCCCGEaDVKaAkhhBBCiFajhJYQQgghhGg1SmgJIYQQQohWo4SWEEIIIYRoNUpoCSGEEEKIVqOElhBCCCGEaDVKaAkhhBBCiFajhJYQQgghhGg1SmgJIYQnzp8/D2dnZ6Wf+fPnAwByc3MRHBwMT09PjB8/HgkJCUqfTUxMxIQJE+Dh4YGZM2ciNzdXaf7evXvh5+cHLy8vhIeHo6ysTG3lIoSQtkYJLSGE8ERWVhZGjBiBhIQE7mft2rVgjCEkJAQ2NjYQi8UICAjA3Llz8eTJEwDA48ePERISgqCgIIjFYlhaWiIkJIRb77lz5xATE4M1a9Zg3759SEtLQ2RkpKaKSQghKkcJLSGE8ER2djb69OkDKysr7sfU1BRXr15Fbm4uVq1aBUdHR4hEInh4eEAsFgMAjh49Cnd3dwQHB6NXr15Yt24dHj16hGvXrgEA9u/fj5kzZ2Lo0KFwd3fHypUrIRaLIZPJNFlcQghRGUpoCSGEJ3JyctCzZ88609PS0tC3b18YGxtz0/r374/U1FRu/oABA7h5xsbGcHV1RWpqKqqqqnDr1i2l+UKhEBUVFcjIyGjD0hBCiPpQQksIITzAGENOTg4uX76MMWPGYNSoUdi0aRMqKioglUrRpUsXpeUtLS0hkUgAAFKpFDY2Nv+/vbuPavrK8wf+BrIEaI0CGlQGHMWOCMYAVpzWiqvb6o66Y7tYu7V1oUs3PztQOjPWVrRVtK7U4tj2CLSlZXygp082zrQ+nHrGjtN2pZ5iQCwDWNTWxqdssCKIIYGQ3x9OviY8ifJNvnl4v87xHPneb3LvDXD55Obez3UqHz58OAwGA1pbW2E2m53KZTIZhg0bhosXL7q+Y0REbiCTugFERHR9HWx7ezvkcjlef/11nD17Fhs2bEB7ezva29sRHBzsdH9wcDAsFgsA9Ftu3/zV3+OJiLwdA1oiIg8QHR2No0eP4s477wQAxMfHo6urCytWrMBDDz0Ek8nkdL/FYkFoaCgAQC6X9whOzWYzFAqFEMh2L3d8/EAEBUnzgZ69Xinq99e6pa7fX+uWuv6B1O1YFhQUCJlMnHaK0V/RA1qNRoPIyEgUFBQAuJ5q5sUXX0RNTQ1Gjx6NVatWYfr06cL9FRUV2LhxI86ePQu1Wo0NGzYgJiZGKN++fTvKysrQ1taGX/3qV3jxxRed1pEREfkKezBrN27cOJjNZgwfPhynTp1yKmtqahKWIURFRcFoNPYoT0hIQHh4OORyOZqamoT1uZ2dnWhubu6xjKE/CsXAg19XkLJ+f61b6vr9tW6p6++vbscyhSIU4eF3uKNJAyJqQLtv3z58+eWXeOihhwBASDUTHx8PrVaLgwcPIicnB/v378eoUaOEVDPPPPMMZsyYgaKiImRnZ+PTTz8FcCPVzObNmxEREYG8vDwUFhbixRdfFLPZRESS++qrr/Dss8/iiy++EN6019fXIzw8HHfffTe2bdsGs9kMuVwOANDpdMJGL7VaDZ1OJzyXyWRCfX09cnNzERAQAJVKhaNHjwr3Hzt2DDKZDPHx8QNuX0uLCVZrl1jdHbCgoEAoFKGS1O+vdUtdv7/WLXX9A6m7pcXk9P/Ll9tErXswRAtom5ub8corr0ClUgnX7KlmPvroI4SEhECj0eDrr7+GVqtFTk6OU6oZACgoKMD06dNRWVmJqVOnOqWaAYB169YhKysLzz33nDCoExH5gpSUFISGhmL16tXIycnBjz/+iMLCQjz55JNITU3FqFGjkJeXh6eeegqHDh1CbW0tNm3aBABIT09HWVkZSktLMWvWLBQXFyMmJgapqakAgCVLlmDNmjW46667oFQqkZ+fj8WLF9/SOGq1dqGz0/1/4D2hfn+tW+r6/bVuqevvr27HQFfq16g70RZpbNq0CQ8++CDGjx8vXGOqGSKigbnjjjvwzjvv4KeffkJ6ejpeeOEF/Md//AeysrIQGBiIkpISGI1GpKenY8+ePSgqKsLIkSMBXF9/u3XrVuzevRsPP/wwWlpaUFxcLDz3vHnzoNFosHbtWmRlZSEpKQkrVqyQqqtERKITZYb266+/RlVVFT799FOsXbsWAQEBAODSVDNqtVqMphMReYzx48dj27ZtvZbFxsaivLy8z8empaUhLS2tz3KNRgONRjPoNhIReaJBB7Rmsxn5+flYs2YN5HK5EMwC19dxeUKqGal2K7qD1DsyXY39836u7qOrdt3eTv1ERCSNQQe0RUVFmDRpkpC5wGazCUGtXC7HlStXnO53d6oZQPrdiu7g631k/7yfq/roybtuiYjIPQYd0O7fvx9NTU1ITk4GAHR0dAAAPvvsMyxbtgwnT550ut/dqWYA6XbnuoPUOzJdjf3zfq7uo6t23Q6UGLtziYhocAYd0JaXl8NqtQK4Pju7efNmAMCKFStw7tw5lJaWSppqBvC8nXiu4Ot9ZP+8n6v66Mm7bomIyD0GHdCOHj3a6euwsDAEBAQgJiYG0dHRkqeaISIiIiLfJvpuBsdNYUw1Q0RERESuJvrRt/Yjb+2YaoaIiIiIXIn5ZoiIiIjIqzGgJSIiIiKvxoCWiIiIiLwaA1oiIiIi8moMaImIiIjIqzGgJSIiIiKvxoCWiIiIiLwaA1oiIiIi8moMaImIiIjIqzGgJSIiIiKvxoCWiIiIiLwaA1oiIiIi8moMaImIiIjIqzGgJSIiIiKvxoCWiIiIiLwaA1oiIg+j0WiQl5cnfK3X65GZmYnk5GTMnz8fhw8fdrq/oqICCxYsQFJSEjIyMqDX653Kt2/fjhkzZiAlJQWrV69Ge3u7W/pBROQuDGiJiDzIvn378OWXXwpf22w2ZGdnQ6lUQqvVYuHChcjJycGFCxcAAOfPn0d2djYWLVoErVaLiIgIZGdnC48/cOAAiouLsWHDBuzYsQM1NTUoLCx0e7+IiFyJAS0RkYdobm7GK6+8ApVKJVw7cuQI9Ho91q9fj3HjxkGj0SApKQlarRYAsGvXLqhUKmRmZiIuLg4FBQU4d+4cKisrAQA7d+5ERkYGZs6cCZVKhXXr1kGr1cJsNkvSRyIiV2BAS0TkITZt2oQHH3wQ48ePF67V1NRg0qRJCAkJEa5NmTIF1dXVQvnUqVOFspCQECQkJKC6uhpWqxW1tbVO5Wq1Gh0dHWhoaHBDj4iI3IMBLRGRB/j6669RVVWF3/zmN7DZbMJ1o9GIESNGON0bEREBg8EglCuVSqfy4cOHw2AwoLW1FWaz2alcJpNh2LBhuHjxogt7Q0TkXjKpG0BE5O/MZjPy8/OxZs0ayOVyBAQECGUmkwnBwcFO9wcHB8NisQAA2tvb+yy3b/7q7/EDFRQkzfyHvV4p6vfXuqWu31/rlrr+gdTtWBYUFAiZTJx2itFfBrRERBIrKirCpEmTMH36dADXN4LZg1q5XI4rV6443W+xWBAaGiqUdw9OzWYzFAqFEMh2L3d8/EApFLd2v9ikrN9f65a6fn+tW+r6+6vbsUyhCEV4+B3uaNKAMKAlIpLY/v370dTUhOTkZABAR0cHAOCzzz7DsmXLcPLkSaf7m5qahGUIUVFRMBqNPcoTEhIQHh4OuVyOpqYmjB07FgDQ2dmJ5ubmHssYbqalxQSrteu2+jcYQUGBUChCJanfX+uWun5/rVvq+gdSd0uLyen/ly+3iVr3YDCgJSKSWHl5OaxWK4Drs7ObN28GAKxYsQLnzp1DaWkpzGYz5HI5AECn0wkbvdRqNXQ6nfBcJpMJ9fX1yM3NRUBAAFQqFY4ePSrcf+zYMchkMsTHx99SG63WLnR2uv8PvCfU7691S12/v9Ytdf391e0Y6Er9GnXHgJaISGKjR492+josLAwBAQGIiYlBdHQ0Ro0ahby8PDz11FM4dOgQamtrsWnTJgBAeno6ysrKUFpailmzZqG4uBgxMTFITU0FACxZsgRr1qzBXXfdBaVSifz8fCxevFgIjomIfAGzHBAReRjHTWGBgYEoKSmB0WhEeno69uzZg6KiIowcORIAEB0dja1bt2L37t14+OGH0dLSguLiYuHx8+bNg0ajwdq1a5GVlYWkpCSsWLHC7X0iInIlztASEXmYgoICp69jY2NRXl7e5/1paWlIS0vrs1yj0UCj0YjWPiIiT8MZWiIiIiLyaqIFtGfOnEFWVhaSk5Mxa9YslJWVCWV6vR6ZmZlITk7G/PnzcfjwYafHVlRUYMGCBUhKSkJGRgb0er1T+fbt2zFjxgykpKRg9erVQm5FIiIiIiJRAtquri5oNBpERkbik08+QX5+Pt544w3s3bsXNpsN2dnZUCqV0Gq1WLhwIXJycnDhwgUAwPnz55GdnY1FixZBq9UiIiIC2dnZwnMfOHAAxcXF2LBhA3bs2IGamhoUFhaK0WwiIiIi8gGiBLRNTU1ITExEfn4+YmNjMXPmTNxzzz3Q6XQ4cuQI9Ho91q9fj3HjxkGj0SApKQlarRYAsGvXLqhUKmRmZiIuLg4FBQU4d+4cKisrAQA7d+5ERkYGZs6cCZVKhXXr1kGr1cJsNovRdCIiIiLycqIEtEqlElu2bEFYWBhsNht0Oh0qKysxbdo01NTUYNKkSQgJCRHunzJlCqqrqwEANTU1Qn5EAAgJCUFCQgKqq6thtVpRW1vrVK5Wq9HR0YGGhgYxmk5EREREXk70TWGzZ8/GY489huTkZMyZMwdGo7HHiTQREREwGAwAAKPRCKVS6VQ+fPhwGAwGtLa2wmw2O5XLZDIMGzYMFy9eFLvpREREROSFRE/bVVRUBKPRiPz8fGzcuBHt7e3CeeJ2wcHBwtni/ZXbN3/19/iBCAry3WQO9r75ah/ZP+/n6j46Pm9QUCBkMve+lr78vSMi8haiB7SJiYkAgLy8PDz77LNIT0+HyWRyusdisSA09PqZvXK5vEdwajaboVAohEC2e7nj4wdisOcDewNf7yP75/1c1UfH51UoQhEefodL6iEiIs8lSkB76dIlVFdX4/777xeuxcXFoaOjAyNGjMCpU6ec7m9qahKWIURFRcFoNPYoT0hIQHh4OORyOZqamjB27FgAQGdnJ5qbm3ssY+hPS4vJ6fxhXxIUFAiFItRn+8j+eT9X97GlxeT0/8uX20Svoz/2/hERkXRECWj1ej2efvpp/O1vf0NUVBQAoLa2FpGRkZgyZQr++Mc/wmw2C2eH63Q6YaOXWq2GTqcTnstkMqG+vh65ubkICAiASqXC0aNHhfuPHTsGmUyG+Pj4AbfPau1CZ6dvBgt2vt5H9s/7uaqPjkGyP7yORETUkyiLvyZPnozExESsWrUKp06dwhdffIHNmzdj2bJlSE1NxahRo5CXl4fGxkaUlpaitrYWixYtAgCkp6ejqqoKpaWlaGxsRF5eHmJiYpCamgoAWLJkCcrKynDw4EEcP34c+fn5WLx4sRAcExEREZF/EyWgDQwMRElJCcLCwvDII4/ghRdewNKlS7F06VKhzGg0Ij09HXv27EFRURFGjhwJAIiOjsbWrVuxe/duPPzww2hpaUFxcbHw3PPmzYNGo8HatWuRlZWFpKQkrFixQoxmExEREZEPEG1TmFKpxNatW3sti42NRXl5eZ+PTUtLQ1paWp/lGo0GGo1m0G0kIiIiIt/DfDNERERE5NUY0BIRERGRV2NAS0RERERejQEtEREREXk1BrRERERE5NUY0BIRERGRV2NAS0RERERejQEtEREREXk1BrRERB7izJkzyMrKQnJyMmbNmoWysjKhTK/XIzMzE8nJyZg/fz4OHz7s9NiKigosWLAASUlJyMjIgF6vdyrfvn07ZsyYgZSUFKxevRrt7e1u6RMRkTswoCUi8gBdXV3QaDSIjIzEJ598gvz8fLzxxhvYu3cvbDYbsrOzoVQqodVqsXDhQuTk5ODChQsAgPPnzyM7OxuLFi2CVqtFREQEsrOzhec+cOAAiouLsWHDBuzYsQM1NTUoLCyUqqtERKJjQEtE5AGampqQmJiI/Px8xMbGYubMmbjnnnug0+lw5MgR6PV6rF+/HuPGjYNGo0FSUhK0Wi0AYNeuXVCpVMjMzERcXBwKCgpw7tw5VFZWAgB27tyJjIwMzJw5EyqVCuvWrYNWq4XZbJayy0REomFAS0TkAZRKJbZs2YKwsDDYbDbodDpUVlZi2rRpqKmpwaRJkxASEiLcP2XKFFRXVwMAampqMHXqVKEsJCQECQkJqK6uhtVqRW1trVO5Wq1GR0cHGhoa3NdBIiIXYkBLRORhZs+ejcceewzJycmYM2cOjEYjRowY4XRPREQEDAYDAMBoNEKpVDqVDx8+HAaDAa2trTCbzU7lMpkMw4YNw8WLF13fGSIiN5BJ3QAiInJWVFQEo9GI/Px8bNy4Ee3t7QgODna6Jzg4GBaLBQD6Lbdv/urv8QMRFCTN/Ie9Xinq99e6pa7fX+uWuv6B1O1YFhQUCJlMnHaK0V8GtEREHiYxMREAkJeXh2effRbp6ekwmUxO91gsFoSGhgIA5HJ5j+DUbDZDoVAIgWz3csfHD4RCMfB7XUHK+v21bqnr99e6pa6/v7odyxSKUISH3+GOJg0IA1pCW1sbvvvuxlq6X/wiHnfc4Tk/pET+4NKlS6iursb9998vXIuLi0NHRwdGjBiBU6dOOd3f1NQkLEOIioqC0WjsUZ6QkIDw8HDI5XI0NTVh7NixAIDOzk40Nzf3WMbQn5YWE6zWrtvt3m0LCgqEQhEqSf3+WrfU9ftr3VLXP5C6W1pMTv+/fLlN1LoHgwEt4bvvGvDclt0YEhmL1ks/4pXf/zuSk6dI3Swiv6LX6/H000/jb3/7G6KiogAAtbW1iIyMxJQpU/DHP/4RZrMZcrkcAKDT6YSNXmq1GjqdTnguk8mE+vp65ObmIiAgACqVCkePHhXuP3bsGGQyGeLj4wfcPqu1C52d7v8D7wn1+2vdUtfvr3VLXX9/dTsGulK/Rt1xUxgBAIZExmLYyLswJDJW6qYQ+aXJkycjMTERq1atwqlTp/DFF19g8+bNWLZsGVJTUzFq1Cjk5eWhsbERpaWlqK2txaJFiwAA6enpqKqqQmlpKRobG5GXl4eYmBikpqYCAJYsWYKysjIcPHgQx48fR35+PhYvXiwEx0RE3o4BLRGRBwgMDERJSQnCwsLwyCOP4IUXXsDSpUuxdOlSocxoNCI9PR179uxBUVERRo4cCQCIjo7G1q1bsXv3bjz88MNoaWlBcXGx8Nzz5s2DRqPB2rVrkZWVhaSkJKxYsUKqrhIRiY5LDqhX9nW17e0m2GwBCA29nv+S62uJXEepVGLr1q29lsXGxqK8vLzPx6alpSEtLa3Pco1GA41GM+g2EhF5Iga05MTaacGJEw04caIBZfvqcO2KAWFDozAkMhbNhlPQLFRjzJgxDHKJiIjIYzCg9WP2WdgTJ25kOLh2xYCyfRdx7YoBUeOmAgjAkMgYDBt5F1ov6f8R5B4SglxuIiMiIiKpMaD1Y/bsBjeC1+uubwwL6PUx9jJ7kEtEREQkNQa0fq6/4JWIiIjIGzCg9TOOhyg4LjUgIiIi8lYMaP2M4yEKhtOVTksNbod9ExnAzWFEREQkDeah9V510ucAACAASURBVEP2QxTCho4c9HNd30RWh+e27HY6PpeIiIjIXThD6yd6y2ggFp4uRkRERFISbYbWYDAgNzcX06ZNQ1paGl5++WVYLBYA188oz8zMRHJyMubPn4/Dhw87PbaiogILFixAUlISMjIyoNfrncq3b9+OGTNmICUlBatXr0Z7e7tYzfYb9qUGW9875JLnty89qK7Woa2tzSV1EBEREfVGlIDWZrMhNzcXZrMZ7733HrZs2YJDhw7htddeAwBkZ2dDqVRCq9Vi4cKFyMnJwYULFwAA58+fR3Z2NhYtWgStVouIiAhkZ2cLz33gwAEUFxdjw4YN2LFjB2pqalBYWChGs/3OkMhYUZYZ9IZLD4iIiEgqogS0p0+fRk1NDQoKChAXF4e7774bubm52Lt3L44cOQK9Xo/169dj3Lhx0Gg0SEpKglarBQDs2rULKpUKmZmZiIuLQ0FBAc6dO4fKykoAwM6dO5GRkYGZM2dCpVJh3bp10Gq1MJvNYjSdRDQkMpbLD4iIiMjtRAlolUolysrKEBERIVyz2WxobW1FTU0NEhMTERISIpRNmTIF1dXVAICamhpMnXpjp31ISAgSEhJQXV0Nq9WK2tpap3K1Wo2Ojg40NHAW0NO1tbWhulrHZQhERETkUqJsChsyZAimT58ufN3V1YV3330X9957L4xGI5RKpdP9ERERMBgMANBr+fDhw2EwGNDa2gqz2exULpPJMGzYMFy8eBFqtVqM5pOIHNN4nTjRgLJ9dQDA43GJiIjIZVyS5aCwsBANDQ34+OOPsW3bNgQHBzuVBwcHCxvG2tvb+yy3b/7q7/EDERTku9nJ7H3rq49tbW04caIBjY0n3NKe62tpL2LIkatOeW6DggIhk9369+Fm/fN2vt4/wPV9dHze2/05E6t+IiKShugBbWFhIXbu3InXXnsN48ePh1wuR3Nzs9M9FosFoaGhAAC5XN4jODWbzVAoFEIg273c8fEDoVAM/F5v1VcfT56sw/LCj3HtimHQhygMlD3Pbeul69kqrJ0WnD37vdDGhISEWz6Awde/h77eP8B1fXR8XoUiFOHhPNyDiMjfiBrQvvTSS/jggw9QWFiIBx54AAAQFRWFxsZGp/uampowYsQIodxoNPYoT0hIQHh4OORyOZqamjB27FgAQGdnJ5qbm4XHD0RLiwlWa9dguuaxgoICoVCE9tnHlhbTPzZqBbi/cf9w7YoBr75/EUMijWi99CP+sGIRUlIGtvzgZv3zdr7eP8D1fWxpMTn9//Jl967XtvePiIikI1pAW1RUhA8//BCvvvoq5syZI1xXq9UoLS2F2WyGXC4HAOh0OmGjl1qthk6nE+43mUyor69Hbm4uAgICoFKpcPToUeH+Y8eOQSaTIT4+fsBts1q70Nnpm8GCXV999JQgyT5rC9ze98PXv4e+3j/AdX10/Bn3h9eRiIh6EmXx16lTp1BSUgKNRoOUlBQYjUbhX2pqKkaNGoW8vDw0NjaitLQUtbW1WLRoEQAgPT0dVVVVKC0tRWNjI/Ly8hATE4PU1FQAwJIlS1BWVoaDBw/i+PHjyM/Px+LFi4XgmLwTMyAQERGRWESZof3888/R1dWFkpISlJSUCNcDAgJQX1+PkpISrF69Gunp6RgzZgyKioowcuT1BP/R0dHYunUrNm7ciJKSEqSkpKC4uFh4jnnz5uHs2bNYu3YtLBYL5s6dixUrVojRbJ9lP+YWgEuOuh0MexYEZkAgIiIisYgS0Go0Gmg0mj7LY2NjUV5e3md5Wloa0tLSbvv5yZn9mNshkbFOmQY8gT0Lgjs3qRERScFxcgEAfvGLeKcNsY7l3cuI6Na4JG0XSa97pgFPIvUmNSIid3CcXGi99GOPT6Ps5QA/qSIaLCZQJCLyEAaDAbm5uZg2bRrS0tLw8ssvC2kL9Xo9MjMzkZycjPnz5+Pw4cNOj62oqMCCBQuQlJSEjIwM6PXOb2a3b9+OGTNmICUlBatXrxbyfJNr2ScXwoaOxIkTDT32DfDIcCJxMKAlSdnX1HKDGPk7m82G3NxcmM1mvPfee9iyZQsOHTqE1157DQCQnZ0NpVIJrVaLhQsXIicnBxcuXAAAnD9/HtnZ2Vi0aBG0Wi0iIiKQnZ0tPPeBAwdQXFyMDRs2YMeOHaipqUFhYaEk/fRX15db1eG5LbudliEAHAeJxMCAliRlH+Rf2nG014GeyF+cPn0aNTU1KCgoQFxcHO6++27k5uZi7969OHLkCPR6PdavX49x48ZBo9EgKSkJWq0WALBr1y6oVCpkZmYiLi4OBQUFOHfuHCorKwEAO3fuREZGBmbOnAmVSoV169ZBq9XCbDZL2WW/09dsLMdBosHjGlqSnGOOWiJ/pVQqUVZWhoiICOGazWZDa2srampqkJiYiJCQEKFsypQpqK6uBgDU1NQIuboBICQkBAkJCaiurkZKSgpqa2uRm5srlKvVanR0dKChoQFqtdoNvfMv9s1et5Jlxj4O2mdrLRYzFIpQdHQAcXG/4IYxoptgQEsewz6QA9zxS/5nyJAhmD59uvB1V1cX3n33Xdx7770wGo1QKpVO90dERMBgMABAr+XDhw+HwWBAa2srzGazU7lMJsOwYcNw8eJFBrQicgxky/bV9ZrNxXGc6y3gvZEJ5hDChkYB4IYxooFgQEsewz6QWz+pgWahGhMmxCMoKBC//CUHcvI/hYWFaGhowMcff4xt27YhODjYqTw4OFjYMNbe3t5nuX3zV3+PJ3HYsxbcCGR7ZnOxj3NDjlztM62iPRPMkMgY1zeayEcwoCWPcj29jR5l++ow5MhVtF76EW+/FIrx4xOkbhqR2xQWFmLnzp147bXXMH78eMjlcjQ3NzvdY7FYEBoaCgCQy+U9glOz2QyFQiEEst3LHR8/EEFB0my5sNcrRf23WndQUOCA0hLeSlpFa6cFjY0nhDZMmOCeT6+86XX3lbqlrn8gdTuWBQUFQiYTp51i9JcBLXkkrqslf/XSSy/hgw8+QGFhIR544AEAQFRUFBobG53ua2pqwogRI4Ryo9HYozwhIQHh4eGQy+VoamrC2LFjAQCdnZ1obm4WHj8QCsXAg19XkLL+/upua2tDXd31Uw/Pnv1e9LqvXTHg7T0XMaSi9R9v8Jc6rZd2NU993X25bqnr769uxzKFIhTh4Z6zNJABLRGRhygqKsKHH36IV199FXPmzBGuq9VqlJaWwmw2Qy6XAwB0Op0Q2KjVauh0OuF+k8mE+vp65ObmIiAgACqVCkePHhXuP3bsGGQyGeLj4wfctpYWE6zWLjG6eUuCggKhUIRKUv9A6q6q0mF54ccuPZnRccPYN99UoaXF5PKZWk9/3X2xbqnrH0jdLS0mp/9fvixOijl73YPBgJa8guMsCMBNY+R7Tp06hZKSEixbtgwpKSlOM66pqakYNWoU8vLy8NRTT+HQoUOora3Fpk2bAADp6ekoKytDaWkpZs2aheLiYsTExCA1NRUAsGTJEqxZswZ33XUXlEol8vPzsXjxYiE4HgirtQudne7/A+8J9fdXt9Xa5baTGe2ztdjzd2GjmKuPz/XU192X65a6/pv9vA/kPikwoCWPZu20oK6uDt98U4W39/y9zyMkibzd559/jq6uLpSUlKCkpES4HhAQgPr6epSUlGD16tVIT0/HmDFjUFRUhJEjRwIAoqOjsXXrVmzcuBElJSVISUlBcXGx8Bzz5s3D2bNnsXbtWlgsFsydOxcrVqxwex9p8IZExvbIlFC27/qbfY6L5M8Y0JJHu3bFgFffvyjsGua6WvJVGo0GGo2mz/LY2FiUl5f3WZ6Wloa0tLTbfn66NbeTa1YsA8mUQORvGNCSx+u+a5j5aolICo4f7/eXa9Ydui9zcBwXAY6N5H8Y0JLXsc9OYF8dP2IjIrex55l13gDWf4oud3GcteWyrMFpa2tDVZVOWC/KNwfegQEteaXezkMnInI1d20Aux1MdyiOuro6IXMF3xx4Dwa0REREPsS+/KC93QSbLQChoSEAONN4K/jmwPswoCWvxbW0REQ92ZcfXLtyCGFDozAkMhbNhlPCkeIcL8kXSXO2G5EIrg/adXhuy25howYREV2fYQwbOlKYaQySBXO8JJ/GGVryalxLS0Q0MBwvyZcxoCWvx3Q1REQDw6Va5KsY0JLX8+d0Na4+9pKIbhy9LcUhCmJj2kPyVQxoySfY14n52+yDPS8mwGMviVzlxInrv2dSHaIgNi49IF/EgJZ8in32wfpJjbCjF/Dt4JZ/nIhcr/uJhd7O8c2/Y3ovXx4rb4e/TZJ4Mwa05HOuJ8PWo2xfnV8uQyAiuhnHpVqG05UIGxoFgJ/0dMclGt6DAS35LCbGJiLqm+OpZ0MiY5zK2tracPJkHVpaTIiL+4Vfz0zyUzDvwICWfF5vp+bwoyMiImeOH683Np7A23v+DoCztuQdGNCSz+t+ag7AAZqIqLvuyxB8YQMc+Q/RTwqzWCxYsGABvvnmG+GaXq9HZmYmkpOTMX/+fBw+fNjpMRUVFViwYAGSkpKQkZEBvV7vVL59+3bMmDEDKSkpWL16Ndrb28VuNvk4x1Nz+PEREVHv7MsQwoaOBHBj1ra6Wofqah3a2tokbqHrtLW1oapKh7q6OqmbQrdB1IDWbDbj97//PU6ePImAgOu7QW02G7Kzs6FUKqHVarFw4ULk5OTgwoULAIDz588jOzsbixYtglarRUREBLKzs4XnPHDgAIqLi7Fhwwbs2LEDNTU1KCwsFLPZ5Gf8aYAmIhoM+xHjL+046vPH5n73XQOWF36M/3lzv9RNodsgWkB78uRJLF68uMfs6pEjR6DX67F+/XqMGzcOGo0GSUlJ0Gq1AIBdu3ZBpVIhMzMTcXFxKCgowLlz51BZWQkA2LlzJzIyMjBz5kyoVCqsW7cOWq0WZrNZrKaTn3EcoJe/8iH27PkzA1sioj44ztraJwN8dby0f5pH3ke0gLayshL33HMPPvzwQ6frNTU1mDRpEkJCQoRrU6ZMQXV1tVA+deqNdTohISFISEhAdXU1rFYramtrncrVajU6OjrQ0OC77xLJ9ewDdJAsGGX76pwC26+//l9UVBz26UGbiOhW2ScDfH2mlryTaJvCHn300V6vG41GjBgxwulaREQEDAaDUK5UKp3Khw8fDoPBgNbWVpjNZqdymUyGYcOG4eLFi1Cr1WI1n/xY97y13piT0XF3MsAE4ETkGtyDQJ7K5VkOTCYTgoODna4FBwfDYrEAANrb2/sst2/+6u/xAxEUJPreN49h75tjH325v67UW07GoKBAyGSuez17+/7dzuMddye3XvoRf1ixCCkpnhGID7aPA31++/9d+f26Wf1E/oCnZ5EncnlAGxISgubmZqdrFosFoaGhAAC5XN4jODWbzVAoFEIg273c8fEDoVAM/F5v5dhHf+ivO1g7LTh79nsoFKFISEhw6aB9u98zx8c5HiShUIQiPNyz/si46uey+8++p/WbyNf44xHj5PlcHtBGRUWhsbHR6VpTU5OwDCEqKgpGo7FHeUJCAsLDwyGXy9HU1ISxY8cCADo7O9Hc3NxjGUN/WlpMsFq7BtkTzxQUFAiFItSpjy0tJolb5RuuXTHg1fcvwtp5BMseSkJ8/EQAwIQJ4g3avX3/bkVv32trpwXffFMFg+EnABDe/InZ7lsx2D7ejONr0NJiwuXL7l33bO+fmCwWC/793/8da9asQWpqKoDr6Q9ffPFF1NTUYPTo0Vi1ahWmT58uPKaiogIbN27E2bNnoVarsWHDBsTE3Dj9afv27SgrK0NbWxt+9atf4cUXX3Ta20B0K3jEOHkalwe0kydPRmlpKcxmM+RyOQBAp9MJG73UajV0Op1wv8lkQn19PXJzcxEQEACVSoWjR48K9x87dgwymQzx8fEDboPV2oXOTt8MaO0c++irwbsU7IP223v+jiEVrWg2nIJmoRpjxowRTh0DBj8zcbs/o719r69dMeDtPRdx7cpfETY06h99kP6Pjat+Dx1fA1/4XTebzVi+fHmv6Q/j4+Oh1Wpx8OBB5OTkYP/+/Rg1apSQ/vCZZ57BjBkzUFRUhOzsbHz66acAbqQ/3Lx5MyIiIpCXl4fCwkK8+OKLUnaVfID9k6HeTmQEOGtL7uPygHbatGkYNWoU8vLy8NRTT+HQoUOora3Fpk2bAADp6ekoKytDaWkpZs2aheLiYsTExAizEkuWLMGaNWtw1113QalUIj8/H4sXLxaCYyJ3cFxfW7avTjh1zFOCxe6ub9wIwJDIGKc/NgD/wHiykydPYvny5T2u29MffvTRRwgJCYFGo8HXX38NrVaLnJwcp/SHAFBQUIDp06ejsrISU6dOdUp/CADr1q1DVlYWnnvuOY6lJIruJzJ66thIvsvluxkCAwNRUlICo9GI9PR07NmzB0VFRRg58nqet+joaGzduhW7d+/Gww8/jJaWFhQXFwuPnzdvHjQaDdauXYusrCwkJSVhxYoVrm42UZ8cTx0bNvIur9j1a0+3w7y7no3pD8mbdR8b/SFvLXkOl8zQdh8kY2NjUV5e3uf9aWlpSEtL67Nco9FAo9GI1j4if+S45g376jhz4oGY/pB8CTePkTu5fMkBEXkWb5hRJmf+nP7Q1WnfBlJ3YGCA2+v2Fd03jzUbTgmbbPvaqCrV9/xm9bkjLaAn/Lz3V7er0iSK0V8GtESD1NtmCM5AkJiY/lDa+u+8k9kgBstxH8Lbe/4O65+O4dmlv0RCQgJMpuuZSkJD7SkSr3+v3f09768+d6ZxvFlbXK2/uj05TSIDWqJB6r4ZArhxwlhbW5twRKQnBbk8Wcy7+HP6Q1enfRtI3Vevtru1Xl9nn7V99X0dhkQahdMZrZ0dWPZQEhISEpCamgKrNdCt3/P+Ul7a0zgCOpceXOMJP+/91e2qNIlipD9kQEskAsesAo7B4okTDdfXrMKzjtHtfrKYJ7WNemL6Q2nr7+qySVKvr+t+OqPz7O1p/OxnY2G1drntDffNAsghkbGwdlpQV1cn3Ouqtkn5895f3Z6cJpEBrQ+xzwY6zryR+zkGi4bTlYgaN/XmD5IA80d6D6Y/JH/RffbWnvt7woR4jxiTHMd3T2ubv2NA60O++64Bz23ZjWtXDB4bRPkLx5kHwPkjfsfA8fpHwp4xQDN/pOeypz9cvXo10tPTMWbMmF7TH27cuBElJSVISUnpkf7w7NmzWLt2LSwWC+bOncv0h+TRuuf+dsyUIPV+BU9umz9jQOtj7B99k2fpPmvruF4sNTUFo0aNgVweKtma2+4HMZD0mP6Q6LrumRLsYygg/VIuT26bv2FAS+Qmfa0Xe/NPx7DsoSTcddcEj1tz66mb2ojI/3QfQz1pc2v3tpH7MaD1cm1tbTh5sg4tLSaunfVC9nf3b+/5O4ZEtva65laKoNL+h8LTAmwiIjtPXs/qScG2v2BA6+VOnGjA8sKPMSQy1qM3IFH/+ltzK0VQeWNdLddjE5Hn6r6e1VNOQfTkYNtXMaD1Ad2DIfJ+vWVKcAxy3TEoOq7H5mwDEXk6e1qt7llbpNqo5anBtq9iQOtlun/8TL6r+xuV3s5Fd9cyE+atJSJv0FvWFseNuPaxE3D/xtu+st1wgkAcDGi9jD01l/0Xk2eM+5fedtS6a0mAPcAm8gdtbW04deo7KBShaGiol7o5dAu6Z21x3IhrHzulWAbQW7YbgPsTxMKA1gs4zsqeONHgFNRwjaN/knKZCQ9iIH9gnzzg/gTf0l8OWXd84tVfpoZf/CIeQ4cOcXkbfBUDWi/Q18DKnLMkBR7EQP6C+xN8m5SfeNl1X0qWkJAAhSJUyE1OA8eA1oM5HmXLgZU8SfeP9HqbteWMLRF5A6n/vnYPrJsNp4Tc5BxHB44BrQfjUbbkLbrP2gJcF0bew3FZF8ANtyQNx8D67T1/B/B3jqO3gAGth+ltvSyXFZA3cJy1dVwXFhQUiF/+cgra2tpQV1cn3M+ZB/IUjsu67JuFiKTUPSsCwDHzZhjQegjH5QVl++q4EYG8Wvek4s8u/R5Xr7b/40Q0rrklz9N9sxA/GSOp8XCGW8OA1kN0X17A9bLk7RwDhFff1zn9bLv7kAgiRzfL581PxshT9JeVwb5nISDAxr0LYEArue4bvziIki/q/rPd2yER/jwQk3t1z+dN5A16y8oQNjQK164YuHcBDGglx41f5K8cB+feZh38fbaBxMV83uQruuey7W3vAnDj04fuGx59dUxlQCsBbvwiuqGvWQcpj6kk33Gz/Qkcf8lX9LbmFoDwc+/r63AZ0LoRN34R9a37rIPUx1SS9+o+aeA4C8v9CeTL+trc6HgN++qEpQmOvysJCQkID/fesZUBrRtx4xfRrelrQ8SYMWOEZQnuOK6SvEvvpytyFpb8S2+fPnRPB2Z/w2ft7MCyh5KQmpoCg+EnWK02r1v2xYDWxbi8gEgczmsebxy729unHN13sXvLgEy3zvF7bV9//eOPP0h++hORp3JcmmAfP+2HOXxQ0dpj2Ze3TCAwoHWx3mcKiOh2dT921x6w9DbrAPj3rl9/0H2Mte/65lhL1Lfe3vD1tezrZhMInoIBrYt0T8fFmQIi1+pt1oF8V19jrH3XNxENXl8TCJ7IKwJas9mMdevW4S9/+QvkcjmysrLwxBNPSN2sfjEdF5H78c1j37xxHO1N9821HGOJCPCSgPaVV15BXV0ddu7ciXPnzuH555/H6NGjMXfuXKmb5oTrZYnIU3nLONqbtrY2VFXpYLV29RLIcowlIi8IaK9du4aPP/4Y77zzDiZOnIiJEyfiySefxLvvvusxAzHTcRGRJ/OGcbQ3bW1tOHXqO5w9+z1efV/HrAVE1CePD2gbGhrQ2dmJ5ORk4VpKSgrefPNNCVvljOm4iMiTecM42huOrUQ0UB4f0BqNRoSHh0Mmu9HU4cOHw2w24/LlywgPD3dre/pLEcMZAyLyRJ42jvbGPrY6Hn3MpVtENFAeH9CaTCYEBwc7XbN/bbFYBvQcQUGBt12/1WoV/n/sWDVOnGjAlu2fIUyhxE8XTiDkjnC0t13GiNjJuHbFAMAGALh25SIA2y1f4/2eV6e33+8NbXTV/QAQFJQKmez2x4CbGcz44i5Sj6O9qarSOX3d0FCPLds/Q3vbZYTcES6MsTcbW6X4fXDn87Jtvtc2X+gzIO7YKsb44vEBrVwu7zHg2r8ODQ0d0HMoFAO772buv38m7r9/JrKz/58oz0dE5A6eNI7a/cu/pPX4mmMrEd0uj59aiIqKwuXLl9HV1SVcMxqNCAkJgUKhkLBlRETegeMoEfk6jw9oJ06cCJlMhurqauGaTqeDSqWSsFVERN6D4ygR+TqPD2hDQ0Px4IMPIj8/H99++y0OHjyIbdu2ISMjQ+qmERF5BY6jROTrAmw2m03qRtxMe3s78vPzceDAASgUCmRlZeE///M/pW4WEZHX4DhKRL7MKwJaIiIiIqK+ePySAyIiIiKi/jCgJSIiIiKvxoCWiIiIiLwaA1oiIiIi8moMaImIiIjIq/lsQGs2m7Fq1SpMnToV9913H7Zt2yZ1k0RlMBiQm5uLadOmIS0tDS+//PKAz2T3RhqNBnl5eVI3Q1QWiwXr16/HtGnTcO+992LLli1SN0lU33//PZ544gmkpKRg9uzZ2LFjh9RNEoXFYsGCBQvwzTffCNf0ej0yMzORnJyM+fPn4/DhwxK2UDyeMo729pq7mpRj7JkzZ5CVlYXk5GTMmjULZWVlbqm3OynG3b/85S+Ij493+vfMM8+4pW6pxuTdu3f36HN8fDwmTpzolvoBacfrS5cuITc3F1OnTsWcOXPwpz/96baeRyZyuzzGK6+8grq6OuzcuRPnzp3D888/j9GjR2Pu3LlSN23QbDYbcnNzMWzYMLz33nu4fPkyVq9ejcDAQDz33HNSN090+/btw5dffomHHnpI6qaI6uWXX0ZFRQXeeecdXL16Fb///e8RHR2NRx55ROqmiSI7OxsTJ07En//8ZzQ2NuLZZ59FdHQ07r//fqmbdtvMZjOWL1+OkydPIiAgAMD138fs7GzEx8dDq9Xi4MGDyMnJwf79+zFq1CiJWzw4njCO9vaau5qUY2xXVxc0Gg3UajU++eQTfP/991i+fDmioqKwYMECl9btSKpx9+TJk5g9ezZeeukl4ZpcLndL3VKNyfPnz8fMmTOFrzs6OpCRkYFZs2a5tF5HUo3X9vETAMrLy3HhwgWsXLkSd955Jx544IFbfjKf09bWZps8ebLtm2++Ea6VlJTYHn/8cQlbJZ6TJ0/aJkyYYLt06ZJwbe/evbYZM2ZI2CrXuHz5si0tLc22aNEi28qVK6Vujmiam5ttiYmJtsrKSuHaW2+9ZVu1apWErRLPpUuXbBMmTLA1NjYK155++mnb+vXrJWzV4DQ2Ntp+/etf237961/bJkyYIIwvFRUVtqSkJJvJZBLuzczMtG3dulWqporCE8bRvl5zV5NyjDUYDLbf/e53tra2NuFaTk6Obd26dS6v207KcXf58uW2LVu2uLVOm82zxuQ333zTNmfOHJvFYnFLfVKO18ePH7dNmDDBptfrhWtvvfWW7ZFHHrnl5/LJJQcNDQ3o7OxEcnKycC0lJQXHjx+XsFXiUSqVKCsrQ0REhHDNZrOhtbVVwla5xqZNm/Dggw9i/PjxUjdFVDqdDnfeeSfuvvtu4ZpGo8H//M//SNgq8QwdOhQxMTHQarXo7OzE6dOnUVVVhYSEBKmbdtsqKytxzz334MMPP3S6XlNTg0mTJiEkJES4NmXKFFRXV7u7iaLyhHG0r9fc1aQcY5VKJbZs2YKwsDDYbDbodDpUVlYiNTXV5XXbSTnunj59GmPHjnV7vZ4yJjc3N+Odd97B8uXL8U//9E9uqVPK8Vqv1yMiIgI/+9nPhGvjx49HbW0trFbrZt9VKAAABwpJREFULT2XTwa0RqMR4eHhkMlurKgYPnw4zGYzLl++LGHLxDFkyBBMnz5d+Lqrqwvvvvsu7r33XglbJb6vv/4aVVVV+M1vfgObjx1op9frER0djT//+c/413/9V9x///0oKSnxmX4GBQWhqKgIWq0WarUa8+bNQ1paGtLT06Vu2m179NFHsXLlSqfAFbg+3owYMcLpWkREBAwGgzubJzpPGEf7es1dzVPG2NmzZ+Oxxx5DcnIy5syZ45Y6pRx3bTYbTp8+ja+++gpz587FAw88gD/84Q/o6Ohwed2eMia///77iIqKctv3G5B2vB4+fDhaWlrQ3t4uXLt48SI6Oztv+Q2kTwa0JpMJwcHBTtfsX/vixqnCwkI0NDTgd7/7ndRNEY3ZbEZ+fj7WrFkDuVzutrVz7tLW1oYzZ87go48+wqZNm/D888+jvLwc27dvl7ppojCZTPjtb3+Le+65Bx999BEKCgrw2WefYc+ePVI3TXR9jTfePtb42zjaH6nG2KKiIrz55puor6/Hxo0bXV6f1OPu+fPn0d7eDrlcjtdffx3PP/889uzZg1deecXldXvCmGyz2bBr1y48/vjjbqsTkHa8TkpKglKpxIYNG9De3o4ffvgBO3bsQEBAwC2/kfHJTWFyubzHgGv/OjQ0VIomuUxhYSF27tyJ1157zac+li8qKsKkSZOEWRKbzeZTQa1MJsPVq1fxhz/8Qdg4dP78ebz33nt44oknJG7d4B08eBA//fQTCgsLERwcjMTERBgMBrzxxhv4t3/7N6mbJ6qQkBA0Nzc7XbNYLG6fVRSbP42j/ZFyjE1MTAQA5OXl4dlnn8XKlSudZszFJvW4Gx0djaNHj+LOO+8EAMTHx6OrqwsrVqzAqlWrXNoWTxiTv/32W/zf//0f5s+f75b67KQcr4ODg/H666/jt7/9LVJSUhAZGYn/+q//wqZNm3DHHXfc0nP5ZEAbFRWFy5cvo6urC4GB1yehjUYjQkJCoFAoJG6deF566SV88MEHKCwsvPXdgB5u//79aGpqEtbv2d+pHThwAFVVVVI2TRQjRoyAXC532gX/85//HBcvXpSwVeK5cOECfv7znzvN8E2cOBFvvvmmhK1yjaioKDQ2Njpda2pqglKplKhF4vCXcbQ/Uoyxly5dQnV1tdPu8ri4OHR0dODq1asYNmyYy+r2hHHXHszajRs3DmazGc3NzQgPD3dZvZ4wJn/11VeYOnUqhgwZ4rY6AenHa5VKhc8//xyXLl1CeHg4Dh06hKFDhyIsLOyWnscnlxxMnDgRMpnMaVOGTqeDSqWSsFXiKioqwocffohXX30V8+bNk7o5oisvL8fevXvx6aef4pNPPsHs2bMxe/ZsfPLJJ1I3TRRqtRpmsxk//PCDcO306dNOC+O92ZgxY3DmzBmnj4xOnz6NmJgYCVvlGpMnT0ZdXR3MZrNwTafTISkpScJWDZ4/jKP9kWqM1ev1ePrpp53WYNfW1iIyMtKlwSwg/bj71VdfYdq0aU7rKevr6xEeHu7SYBbwjDH5+PHjSElJcVt9dlKO183NzXjsscfQ3NyMyMhIBAYG4ssvv7ytTZA+GdCGhobiwQcfRH5+Pr799lscPHgQ27ZtQ0ZGhtRNE8WpU6dQUlICjUaDlJQUGI1G4Z+vGD16NGJiYhATE4PY2FiEhYXhjjvu8JmAaNy4cfjnf/5nrFy5Eg0NDfjqq6/w9ttv49FHH5W6aaKYNWsW7rzzTrzwwgv44Ycf8Ne//hVvvfUWli5dKnXTRDdt2jSMGjUKeXl5aGxsRGlpKWpra7Fo0SKpmzYovj6O9kfKMXby5MlITEzEqlWrcOrUKXzxxRfYvHkzli1b5vK6pR53U1JSEBoaitWrV+P777/HF198gcLCQjz55JMur9sTxuTGxkbExcW5rT47KcfrYcOG4erVqygsLIRer8dHH32EP/3pT7f3PR90EjEPZTKZbM8//7wtKSnJlpaWZtuxY4fUTRLNW2+9ZZswYUKPf/Hx8VI3zWVWrlzpU3lobTabrbW11fbcc8/ZkpOTbffee6+tuLhY6iaJ6scff7T993//t23KlCm2OXPm+NTvYPecqGfOnLE9/vjjNpVKZVuwYIGtoqJCwtaJx5PGUXfmoZV6jDUYDLacnBzblClTbPfdd5/tzTffdEu93Ukx7jY2NtoyMzNtycnJtvvuu8+t46LUY/LkyZNt//u//+vWOu2kHK9Pnz5te/zxx21JSUm2BQsW2P7617/e1vME2Gw+kieIiIiIiPySTy45ICIiIiL/wYCWiIiIiLwaA1oiIiIi8moMaImIiIjIqzGgJSIiIiKvxoCWiIiIiLwaA1oiIiIi8moMaImIiIjIqzGgJSIiIiKvxoCWiIiIiLwaA1oiIiIi8mr/H6/MK0E6YizyAAAAAElFTkSuQmCC",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x000000007439CF28>)"
]
}
],
"prompt_number": 78
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h3>Guvenen/Smith (2014) Pension Specification</h3>\n",
"<a id=\"guvsmi2014\"></a>\n",
"<a href=#index>Back to index</a>\n",
"\n",
"Guvenen & Smith (2014) use a different way of calculating pension payments. From the paper:\n",
"\n",
"<blockquote>\n",
"The pension system in the model - captured by the function $\\Upsilon$ - mimics the US Social Security system, with one notable difference. In the actual US pension system, retirement income is tied to households' average labor inocme during the working years (denoted by $\\bar{Y}^i$). Adopting this exact structure here, however, would add another state variable - $\\bar{Y}^i$ - to the dynamic problem above, increasing the already high computational burden of the esimation. So, instead, we adopt the same functional form used in the US system of the $\\Upsilon(\\dot)$ function, but rather than use $\\bar{Y}^i$, we instead use *predicted* average income given the worker's income at the retirement age ($Y_R^i$). This is accomplished by first running the cross-sectional regression $\\bar{Y}^i = k_0 + k_1 Y_R^i$ and then using the predicted average income implied by this regression, which we denote by $\\hat{Y}(Y_R^i)$. This structure does not add a state variable but recognizes the empirical relationship between average income and income at retirement age implied by each stochastic process. Letting $\\bar{Y}$ denote the economy-wide average lifetime labor income and defining $\\tilde{Y}_R^i \\equiv \\hat{Y}(Y_R^i)/\\bar{Y}$, the pension function is given by:\n",
"$$\n",
"\\Upsilon(Y_R^i, \\bar{Y}) = \\bar{Y} \\times \\begin{cases}\n",
" 0.9 \\tilde{Y}_R^i & \\text{if } \\tilde{Y}_R^i \\leq 0.3 \\\\\n",
" 0.27+0.32(\\tilde{Y}_R^i - 0.3) & \\text{if } \\tilde{Y}_R^i \\in (0.3, 2] \\\\\n",
" 0.81+0.15(\\tilde{Y}_R^i - 2) & \\text{if } \\tilde{Y}_R^i \\in (2, 4.1] \\\\\n",
" 1.13 & \\text{if } \\tilde{Y}_R^i \\geq 4.1\n",
" \\end{cases}\n",
"$$\n",
"</blockquote>\n",
"\n",
"It should be noted that in the code accompanying the paper, the actual numbers used are `0.814` instead of 0.81 and `1.129` instead of 1.13.\n",
"Let's implement this pension system by first running a regression to get the coefficients which will predict income:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ybari = mean(yit, 2)[:]\n",
"(k_0, k_1) = linreg(yit[:, 40], ybari)\n",
"avgy = mean(yit)\n",
"\n",
"function get_pension_2(y::Float64, k_0::Float64, k_1::Float64, avgy::Float64)\n",
"\n",
" ytilde = (k_0 + k_1*y)/avgy \n",
" rratio = 0.0\n",
" \n",
" if ytilde < 0.3\n",
" rratio = 0.9*ytilde\n",
" elseif ytilde <= 2.0\n",
" rratio = 0.27 + 0.32*(ytilde - 0.3)\n",
" elseif ytilde <= 4.1\n",
" rratio = 0.814 + 0.15*(ytilde - 2.0)\n",
" else\n",
" rratio = 1.129\n",
" end\n",
" \n",
" return rratio*avgy\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 72
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This function looks as follows (with one of the above functions plotted for comparison:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p_2014 = Array(Float64, 1000)\n",
"y = linspace(minimum(yit[:, 40]), maximum(yit[:, 40]), 1000)\n",
"\n",
"for i = 1:1000\n",
" p_2014[i] = get_pension_2(y[i], k_0, k_1, avgy)\n",
"end\n",
"\n",
"fig, ax = PyPlot.subplots()\n",
"ax[:plot](p_2014, label = L\"Guvenen & Smith\")\n",
"ax[:plot](p_guv, label = L\"\\bar{Y} = \"*\"yguv\")\n",
"xlabel(\"Retirement Period Wage\")\n",
"ylabel(\"Pension\")\n",
"legend(loc =\"best\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x0000000058F76048>)"
]
}
],
"prompt_number": 73
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pension_2014 = Array(Float64, size(yit, 1))\n",
"\n",
"for i = 1:size(yit, 1)\n",
" pension_2014[i] = get_pension_2(yit[i, 40], k_0, k_1, avgy)\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 74
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = PyPlot.subplots(2, 2)\n",
"ax[1,1][:hist](yit[:, 40], bins = 100)\n",
"ax[1,1][:set_title](\"Income Distribution period 40\")\n",
"ax[1,2][:hist](pension_2014, bins = 100)\n",
"ax[1,2][:set_title](\"Pension Distribution Guvenen & Smith\")\n",
"ax[2,1][:hist](pension_2007_median, bins = 100)\n",
"ax[2,1][:set_title](\"Pension Distribution, ymedian\")\n",
"ax[2,2][:hist](pension_2007_guv, bins = 100)\n",
"ax[2,2][:set_title](\"Pension Distribution, yguv\")\n",
"fig[:suptitle](\"Income Distributions\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x00000000744B5240>)"
]
}
],
"prompt_number": 77
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h3>Solve Retirement Problem</h3>\n",
"<a id=\"solveVF\"></a>\n",
"<a href=#index>Back to index</a>\n",
"\n",
"The Retirement problem in both Guvenen (2007) and Guvenen & Smith (2014) is given by\n",
"\n",
"$$\n",
"V_t^i(w_t^i, Y) = \\max_{c_t^i, a_{t+1}^i} \\left[ u(c_t^i) + \\delta V_{t+1}(w_{t+1}^i, Y) \\right]\n",
"$$\n",
"\n",
"subject to $$Y^i = \\Upsilon(Y_R^i, \\bar{Y}),$$ $$c_t + a_{t+1} = w_t,$$ and $$w_t = (1+r)a_t + y_t$$\n",
"\n",
"To solve this, we need grids for both income and cash-on-hand. For the wealth grid, we can use the original grid from Guvenen's code, for the income grid we'll construct a very similar one with an upper bound of 1000:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"wpoints_R = 150\n",
"ypoints_R = 140\n",
"\n",
"guvgrid_R_org = readdlm(\"C:\\\\Users\\\\tew207\\\\Dropbox\\\\QMUL\\\\PhD\\\\Code\\\\Julia\\\\Guvenen\\\\wealthR.dat\")'\n",
"guvgrid_R = reshape(guvgrid_R_org, 1, 7200)\n",
"guvgrid_R = unique(reshape(guvgrid_R_org, 12, 600), 2)\n",
"wgrid_R = Array(Float64, (wpoints_R, 30))\n",
"for t = 1:30\n",
" wgrid_R[:, t] = linspace(guvgrid_R[1, t], guvgrid_R[end, t], wpoints_R)\n",
"end\n",
"\n",
"ygrid_R = linspace(0.24, 1000, ypoints_R);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 104
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Assuming there's a terminal period $T$ for which $V_{T+1} \\equiv 0$, the value of the last period is just the consumption value of cash-on-hand. Then, we can solve for the period $T-1$ solution exactly without having to interpolate the value function at $T$:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\u03c1 = 2.0\n",
"\n",
"u(c::Float64, \u03c1=\u03c1) = c^(1-\u03c1)/(1-\u03c1)\n",
"\n",
"v = Array(Float64, (wpoints_R, ypoints_R, 30))\n",
"wp = similar(v)\n",
"c = similar(v)\n",
"c_over_x = similar(v)\n",
"\n",
"for w = 1:wpoints_R\n",
" for y = 1:ypoints_R\n",
" v[w, y, 30] = u(wgrid_R[w, 30] + ygrid_R[y])\n",
" end\n",
"end\n",
"\n",
"# Solve the second-to-last period exactly\n",
"using Optim\n",
"\u03b4 = 0.966\n",
"r = 1/0.96\n",
"\n",
"for w = 1:wpoints_R\n",
" for y = 1:ypoints_R\n",
" wt = wgrid_R[w, 29]\n",
" yt = ygrid_R[y]\n",
" x = wt + yt\n",
" \n",
" Blmn(wp::Float64, x=x, y=yt, \u03b4=\u03b4, r=r) = -( u(x - wp) + \u03b4 * u(r*wp + y) )\n",
" \n",
" opt = optimize(Blmn, wgrid_R[1, 30]/r, x)\n",
" \n",
" v[w, y, 29] = -(opt.f_minimum)\n",
" wp[w, y, 29] = opt.minimum\n",
" c[w, y, 29] = x - wp[w, y, 29]\n",
" c_over_x[w, y, 29] = c[w, y, 29]/(x - wgrid_R[1, 30]/r)\n",
" end\n",
"end"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 105
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The resulting consumption functions as a percentage of cash-on-hand (plus the distance from next period's borrowing limit) look as follows:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = PyPlot.subplots()\n",
"ax[:plot](c_over_x[:, 1, 29], label = \"y = 1\")\n",
"ax[:plot](c_over_x[:, 2, 29], label = \"y = 2\")\n",
"ax[:plot](c_over_x[:, 5, 29], label = \"y = 5\")\n",
"ax[:plot](c_over_x[:, 50, 29], label = \"y = 50\")\n",
"ax[:plot](c_over_x[:, end, 29], label = \"y = end\")\n",
"xlabel(\"Assets + Income\")\n",
"ylabel(\"Ratio\")\n",
"title(\"Consumption functions, period 29\")\n",
"legend(loc=\"best\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x0000000076C16AC8>)"
]
}
],
"prompt_number": 106
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To solve the model further backwards, we need an interpolated version of the value function. For this, we define an interpolation function:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function interpolatev(v::Array{Float64,3}, wgrid::Array{Float64,2},\n",
" ygrid::Array{Float64,1}, t::Int64)\n",
"\n",
" wrange = range(wgrid[1, t], wgrid[2, t] - wgrid[1, t], size(wgrid, 1))\n",
" yrange = range(ygrid[1], ygrid[2]-ygrid[1], size(ygrid, 1))\n",
"\n",
" CoordInterpGrid((wrange, yrange), v[:, :, t], BCnearest, InterpLinear)\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id=\"solveCF\"></a>\n",
"<h3>Alternative Solution</h3>\n",
"<a href=#index>Back to index</a>\n",
"\n",
"As an alternative, we can directly solve the consumer's problem given a level of retirement wealth and pension income, given that there is no uncertainty after retirement. To do so, we will draw on [a set of notes](http://www.econ2.jhu.edu/people/ccarroll/public/LectureNotes/Consumption/PerfForesightCRRA/) by Chris Carroll.\n",
"\n",
"Solving \n",
"\n",
"$$\n",
"\\max_{\\{c_{t+n}\\}_{n=0}^{T-1}} \\left\\{ \\beta^n \\frac{c_{t+n}^{1-\\sigma}}{1-\\sigma} \\right\\}\n",
"$$\n",
"subject to \n",
"$$\n",
"x_{t+1} = R(x_t - c_t) + \\bar{y}\n",
"$$\n",
"\n",
"can be done exactly by calculating the optimal consumption growth rate from the Euler equation and then using the intertemporal budget constraint. The Euler equation is given by:\n",
"\n",
"\\begin{align}\n",
"u'(c_t) &= \\beta R u'(c_{t+1}) \\\\\n",
"c_t^{-\\sigma} &= \\beta R c_{t+1}^{-\\sigma} \\\\\n",
"\\frac{c_{t+1}}{c_t} &= [\\beta R]^{\\frac{1}{\\sigma}} \n",
"\\end{align}\n",
"\n",
"In other words, consumption grows at the rate $(\\beta (1+r))^{\\frac{1}{\\sigma}}$. With Guvenen's original calibration, $\\beta=0.966$, $r = \\frac{1}{0.96}$, and $\\sigma=2$, this would give 1.003, so agent's are patient and would aim for very modest consumption growth in retirement. In the 2004 working paper version, $(1+r)\\beta=1$, so the consumption profile would be fully flat. \n",
"\n",
"The intertemporal budget constraint implies that the present discounted value of consumption has to be equal to the present discounted value of labor income plus wealth carried over from working life. Computing the present value of lifetime resources:\n",
"\\begin{align}\n",
"PDV(x) &= a_t + \\sum_{n=0}^{T-t} R^{-n} \\bar{y} \\\\\n",
" &= a_t + \\bar{y} \\sum_{n=0}^{T-t} R^{-n} \\\\\n",
" &= a_t + \\bar{y} \\left[ \\frac{1 - \\left(\\frac{1}{R}\\right)^{T-t+1}}{1- \\left(\\frac{1}{R}\\right)} \\right]\n",
"\\end{align}\n",
"This has to be equal to the present discounted value of consumption:\n",
"$$\n",
"PDV(c) = \\sum_{n=0}^{T-t} R^{-n} c_{t+n}\n",
"$$\n",
"From the Euler equation, we know that $c_{t+1} = c_t [\\beta R]^{\\frac{1}{\\sigma}}$, and hence $c_{t+2} = c_t \\big([\\beta R]^{\\frac{1}{\\sigma}} \\big)^2$ and by iterating $c_{t+n} = \\big( [\\beta R]^{\\frac{1}{\\sigma}} \\big)^n$. Hence, we can substitute in the sum:\n",
"\\begin{align}\n",
"PDV(c) &= \\sum_{n=0}^{T-t} R^{-n} [\\beta R]^{\\frac{1}{\\sigma}} c_t \\\\\n",
" &= c_t \\sum_{n=0}^{T-t} R^{-n} ([\\beta R]^{\\frac{1}{\\sigma}})^n \\\\\n",
" &= c_t \\left[ \\frac{1- [R^{-1}(R \\beta)^{\\frac{1}{\\sigma}}]^{T-t+1}}{1 - R^{-1}(R \\beta)^{\\frac{1}{\\sigma}}}] \\right]\n",
"\\end{align}\n",
"\n",
"Bringin the two equations together then gives:\n",
"\n",
"$$\n",
"c_t = \\frac{1 - R^{-1}(R \\beta)^{\\frac{1}{\\sigma}}}{1- [R^{-1}(R \\beta)^{\\frac{1}{\\sigma}}]^{T-t+1}} \\left[ a_t + \\bar{y}\n",
"\\frac{1 - \\left(\\frac{1}{R}\\right)^{T-t+1}}{1- \\left(\\frac{1}{R}\\right)} \\right]\n",
"$$\n",
"\n",
"\n",
"Let us define a function that calculates the consumption level based on all variables in the above equation:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function get_c(t::Int64, a::Float64, y::Float64, T::Int64, R::Float64, \u03b2::Float64, \u03c3::Float64)\n",
" rinv = 1/R\n",
" rbsig = (R*\u03b2)^(1/\u03c3)\n",
" nom = 1 - rinv*rbsig\n",
" denom = 1 - (rinv*rbsig)^(T-t+1)\n",
" margprop = nom/denom\n",
" pdvx = a + ((1-rinv^(T-t+1))/(1-rinv))*y\n",
" c = margprop * pdvx\n",
" return c, margprop, pdvx\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 49
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function get_c_1(R::Float64, \u03b2::Float64, a::Float64, y::Float64, \u03c3::Float64, T::Int64)\n",
" Rinv = 1/R\n",
" Rbsig = (R*\u03b2)^(1/\u03c3)\n",
" numerator = 1 - Rinv*Rbsig\n",
" denominator = 1 - (Rinv*Rbsig)^T\n",
" margprop = numerator/denominator\n",
" pdvlabour = y*((1-Rinv^T)/(1-Rinv))\n",
" pdvresources = pdvlabour + a\n",
" c_1 = margprop * pdvresources\n",
" \n",
" return c_1, pdvresources, margprop\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 80
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function simulate(a::Float64, y::Float64, \u03b2::Float64, \u03c3::Float64, R::Float64, T::Int64, printout::Bool)\n",
" \n",
" @printf \"R=%.2f, \u03b2=%.3f, a=%.1f, y=%.1f, \u03c3=%.1f and T=%d, we have:\\n\" R \u03b2 a y \u03c3 T\n",
" \n",
" c_t = Array(Float64, T)\n",
" a_t = Array(Float64, T)\n",
" sum_u = 0.0\n",
" \n",
" c_t[1] = get_c_1(R, \u03b2, a, y, \u03c3, T)[1]\n",
" a_t[1] = a + y\n",
" \n",
" for t = 1:T\n",
" if t < T\n",
" c_t[t+1] = (R*\u03b2)^(1/\u03c3)*c_t[t]\n",
" a_t[t+1] = (a_t[t] - c_t[t])*R + y\n",
" if printout\n",
" @printf \"At t=%d, assets are %.2f and consumption is %.2f. Assets next period will be %.2f\\n\" t a_t[t] c_t[t] a_t[t+1]\n",
" end\n",
" else\n",
" if printout\n",
" @printf \"At t=%d, assets are %.2f and consumption is %.2f. Assets next period will be %.2f\\n\" t a_t[t] c_t[t] (a_t[t] - c_t[t])*R\n",
" end\n",
" end \n",
" sum_u += (\u03b2^t)*(c_t[t]^(1-\u03c3)/(1-\u03c3))\n",
" end\n",
" return c_t, a_t, sum_u\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 81
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"a = 10.0\n",
"y = 5.0\n",
"\u03b2 = 0.966\n",
"R = 1/0.96\n",
"\u03c3 = 2.0\n",
"T = 30\n",
"\n",
"(c_t, a_t, sum_u) = simulate(a, y, \u03b2, \u03c3, R, T, true);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"R="
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"1.04, \u03b2=0.966, a=10.0, y=5.0, \u03c3=2.0 and T=30, we have:\n",
"At t=1, assets are 15.00 and consumption is 5.37. Assets next period will be 15.03\n",
"At t=2, assets are 15.03 and consumption is 5.39. Assets next period will be 15.05\n",
"At t=3, assets are 15.05 and consumption is 5.40. Assets next period will be 15.05\n",
"At t=4, assets are 15.05 and consumption is 5.42. Assets next period will be 15.03\n",
"At t=5, assets are 15.03 and consumption is 5.44. Assets next period will be 15.00\n",
"At t=6, assets are 15.00 and consumption is 5.45. Assets next period will be 14.94\n",
"At t=7, assets are 14.94 and consumption is 5.47. Assets next period will be 14.87\n",
"At t=8, assets are 14.87 and consumption is 5.49. Assets next period will be 14.77\n",
"At t=9, assets are 14.77 and consumption is 5.50. Assets next period will be 14.65\n",
"At t=10, assets are 14.65 and consumption is 5.52. Assets next period will be 14.51\n",
"At t=11, assets are 14.51 and consumption is 5.54. Assets next period will be 14.35\n",
"At t=12, assets are 14.35 and consumption is 5.56. Assets next period will be 14.16\n",
"At t=13, assets are 14.16 and consumption is 5.57. Assets next period will be 13.94\n",
"At t=14, assets are 13.94 and consumption is 5.59. Assets next period will be 13.70\n",
"At t=15, assets are 13.70 and consumption is 5.61. Assets next period will be 13.43\n",
"At t=16, assets are 13.43 and consumption is 5.63. Assets next period will be 13.13\n",
"At t=17, assets are 13.13 and consumption is 5.64. Assets next period will be 12.80\n",
"At t=18, assets are 12.80 and consumption is 5.66. Assets next period will be 12.43\n",
"At t=19, assets are 12.43 and consumption is 5.68. Assets next period will be 12.04\n",
"At t=20, assets are 12.04 and consumption is 5.70. Assets next period will be 11.61\n",
"At t=21, assets are 11.61 and consumption is 5.71. Assets next period will be 11.14\n",
"At t=22, assets are 11.14 and consumption is 5.73. Assets next period will be 10.63\n",
"At t=23, assets are 10.63 and consumption is 5.75. Assets next period will be 10.09\n",
"At t=24, assets are 10.09 and consumption is 5.77. Assets next period will be 9.50\n",
"At t=25, assets are 9.50 and consumption is 5.79. Assets next period will be 8.87\n",
"At t=26, assets are 8.87 and consumption is 5.80. Assets next period will be 8.19\n",
"At t=27, assets are 8.19 and consumption is 5.82. Assets next period will be 7.47\n",
"At t=28, assets are 7.47 and consumption is 5.84. Assets next period will be 6.70\n",
"At t=29, assets are 6.70 and consumption is 5.86. Assets next period will be 5.88\n",
"At t=30, assets are 5.88 and consumption is 5.88. Assets next period will be 0.00\n"
]
}
],
"prompt_number": 82
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"(c_t_a_rich, a_t_a_rich, u_a_rich) = simulate(100.0, 8.5, \u03b2, \u03c3, R, T, false);\n",
"(c_t_a_poor, a_t_a_poor, u_a_poor) = simulate(-1.2, 8.5, \u03b2, \u03c3, R, T, false);\n",
"(c_t_y_rich, a_t_y_rich, u_y_rich) = simulate(10.0, 12.0, \u03b2, \u03c3, R, T, false);\n",
"(c_t_y_poor, a_t_y_poor, u_y_poor) = simulate(10.0, 4.0, \u03b2, \u03c3, R, T, false);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"R="
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"1.04, \u03b2=0.966, a=100.0, y=8.5, \u03c3=2.0 and T=30, we have:\n",
"R=1.04, \u03b2=0.966, a=-1.2, y=8.5, \u03c3=2.0 and T=30, we have:\n",
"R=1.04, \u03b2=0.966, a=10.0, y=12.0, \u03c3=2.0 and T=30, we have:\n",
"R=1.04, \u03b2=0.966, a=10.0, y=4.0, \u03c3=2.0 and T=30, we have:\n"
]
}
],
"prompt_number": 102
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = PyPlot.subplots(3,1) # Plot using Pyplot (a Python package that has Matlab-style syntax)\n",
"ax[1,1][:plot](c_t_a_rich, label = \"Consumption, asset rich\")\n",
"ax[1,1][:plot](a_t_a_rich, label = \"Assets, asset rich\")\n",
"ax[1,1][:plot](c_t_a_poor, label = \"Consumption, asset poor\")\n",
"ax[1,1][:plot](a_t_a_poor, label = \"Assets, asset poor\")\n",
"ax[2,1][:plot](c_t_y_rich, label = \"Consumption, income rich\")\n",
"ax[2,1][:plot](a_t_y_rich, label = \"Assets, income rich\")\n",
"ax[2,1][:plot](c_t_y_poor, label = \"Consumption, income poor\")\n",
"ax[2,1][:plot](a_t_y_poor, label = \"Assets, income poor\")\n",
"ax[3,1][:bar]([0.0, 0.5, 1.0, 1.5], [u_a_poor, u_a_rich, u_y_poor, u_y_rich], width = 0.4)\n",
"ax[3,1][:set_xticks]([0.2, 0.7, 1.2, 1.7])\n",
"ax[3,1][:set_xticklabels]([\"Asset poor\", \"Asset rich\", \"Income poor\", \"Income rich\"])\n",
"fig[:suptitle](\"Consumption and Assets\")\n",
"ax[1,1][:legend](loc = \"best\");\n",
"ax[2,1][:legend](loc = \"best\");\n",
"ax[3,1][:legend](loc = \"best\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x0000000078837E48>)"
]
}
],
"prompt_number": 103
}
],
"metadata": {}
}
]
}
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