{ "metadata": { "name": "", "signature": "sha256:a2afd129732f95a68933b62393742da596f07f707ba396133c28c508a55bb668" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**Author: Nicholas Martin Hunt-Walker**\n", "\n", "**Last Updated: February 1, 2014**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The goal of this notebook is to provide a simple calculator for compound interest with regular contributions of a fixed amount over a designated amount of time. The inputs are the principal amount (can be zero or any positive number), the interest rate (fixed over the time period), the number of years, the number amount of the monthly contribution (can be zero or positive), and the frequency at which the amount is compounded (a string. See the function for more.). At the bottom there will be two plots: one showing the amount accrued over time for different interest rates, and the other showing the amount of interest being reinvested into the account each month." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Setting up the initial packages necessary for\n", "# this script\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import locale\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "locale.setlocale(locale.LC_ALL,'')\n", "# This is so that any money displayed on the\n", "# output plot is in dollars, separated by\n", "# commas per three digits" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ "'en_US.UTF-8'" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "def compoundInt(principal,rate,years,contr,compounded='monthly'):\n", " # This is where the magic happens\n", " # This function takes in: \n", " # the principal amount in dollars\n", " # the APY interest rate in x%\n", " # the number of years of in question\n", " # the amount contributed per compounding period\n", " # how often interest is compounded per year; default is monthly\n", " #\n", " # This function then returns:\n", " # the array for the amount of money accumulated at each compounding period\n", " # the array for the amount of money deposited at each compounding period\n", "\n", " if compounded == 'monthly':\n", " N_comp = 12.\n", " elif compounded == 'daily':\n", " N_comp = 365.\n", " elif compounded == 'weekly':\n", " N_comp = 52.\n", " elif compounded == 'quarterly':\n", " N_comp = 4.\n", " elif compounded == 'semi-annually':\n", " N_comp = 2.\n", " elif compounded == 'annually':\n", " N_comp = 1.\n", " \n", " rate = rate/100.\n", " N = int(years*N_comp) # the number of compounding periods total\n", " tot = np.zeros(N + 1) # array that will contain the total amount\n", " # of money accrued over time from both\n", " # deposits and interest\n", " tot[0] = principal\n", " deposits = np.zeros(N + 1) # array that will contain the total\n", " # amount of money deposited over time\n", " deposits[0] = principal\n", " for i in range(N):\n", " # Formula for compound interest with deposits\n", " # Compound Interest Formula: A_comp = principal * ((1 + rate/N_comp)**(i+1 periods))\n", " # Added Value from Contributions: A_contr = contr * ((1 + rate/N_comp)**(i+1 periods)-1.)/(rate/N_comp)\n", " # Total: tot[i+1] = A_comp + A_contr\n", " #\n", " # Deposits to-date: deposits[i+1] = deposits[i] + contr \n", " tot[i+1] = ((1+rate/N_comp)**(i+1))*tot[0] + contr*((1 + rate/N_comp)**(i+1)-1.)/(rate/N_comp)\n", " deposits[i+1] = deposits[i] + contr \n", " return tot,deposits" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "## These are going to be your input values\n", "## Nyrs -- The number of years over which your investment grows\n", "##\n", "## rates -- Array of interest rates that you want to compare, in percents.\n", "## Note: You don't need three. You can have as many as\n", "## you want. However, three is what I plot with\n", "##\n", "## princ -- The principal investment in dollars\n", "##\n", "## contr -- Your monthly contribution, in dollars\n", "\n", "Nyrs = 40.\n", "rates = [10.,7.,4.] # \n", "princ = 0.\n", "contr = 450." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "## This is where the calculation occurs. You need one set of\n", "## these lines for each rate you want to examine\n", "\n", "p_hi, amt = compoundInt(princ,rates[0],Nyrs,contr)\n", "intrst_hi = p_hi[1:]-p_hi[:-1] - contr\n", "\n", "p_avg, amt = compoundInt(princ,rates[1],Nyrs,contr)\n", "intrst_avg = p_avg[1:]-p_avg[:-1] - contr\n", "\n", "p_lo, amt = compoundInt(princ,rates[2],Nyrs,contr)\n", "intrst_lo = p_lo[1:]-p_lo[:-1] - contr" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "## All of the plotting. If you didn't change anything above,\n", "## just hit Control+Enter\n", "\n", "yrs = np.linspace(0,Nyrs,int(Nyrs*12)+1)\n", "fig = plt.figure(figsize=(8,9))\n", "fig.subplots_adjust(hspace=0)\n", "plt.suptitle('Principal - '+locale.currency(princ, grouping=True)+'\\n Monthly Contribution - '+locale.currency(contr)+'\\n Time - %i Years' % Nyrs+'\\n Total Contribution - '+locale.currency(amt[-1], grouping=True))\n", "ax = plt.subplot2grid((2,1),(0,0))\n", "ax.fill_between(yrs,p_hi/1.0E3,p_avg/1.0E3,alpha=0.5,color='g')\n", "ax.fill_between(yrs,p_avg/1.0E3,p_lo/1.0E3,alpha=0.5,color='r')\n", "ax.plot(yrs,p_hi/1.0E3,color='g',linewidth=2)\n", "ax.plot(yrs,p_lo/1.0E3,color='r',linewidth=2)\n", "ax.plot(yrs,p_avg/1.0E3,color='k',linewidth=2)\n", "\n", "ax.plot([0,41],[p_hi[-1]/1.0E3,p_hi[-1]/1.0E3],linestyle='--',color='g')\n", "ax.plot([0,41],[p_lo[-1]/1.0E3,p_lo[-1]/1.0E3],linestyle='--',color='r')\n", "ax.plot([0,41],[p_avg[-1]/1.0E3,p_avg[-1]/1.0E3],linestyle='--',color='k')\n", "\n", "ax.text(2,p_hi[-1]/1000.-.05*(p_hi[-1]/1000.),locale.currency(p_hi[-1], grouping=True) + ' (10% Interest)')\n", "ax.text(2,p_avg[-1]/1000.-.05*(p_hi[-1]/1000.),locale.currency(p_avg[-1], grouping=True) + ' (7% Interest)')\n", "ax.text(2,p_lo[-1]/1000.-.05*(p_hi[-1]/1000.),locale.currency(p_lo[-1], grouping=True) + ' (4% Interest)')\n", "ax.minorticks_on()\n", "ax.set_xlabel('Years')\n", "ax.set_xlim(1,Nyrs)\n", "ax.set_ylim(0,max(p_hi/1000.)+.1*(p_hi[-1]/1000.))\n", "ax.set_ylabel('Investment Values (x $1000)')\n", "\n", "ax = plt.subplot2grid((2,1),(1,0))\n", "ax.fill_between(yrs[1:],intrst_avg/1.0E3,intrst_hi/1.0E3,alpha=0.5,color='g')\n", "ax.fill_between(yrs[1:],intrst_lo/1.0E3,intrst_avg/1.0E3,alpha=0.5,color='r')\n", "ax.plot(yrs[1:],intrst_hi/1.0E3,c='g',linewidth=2)\n", "ax.plot(yrs[1:],intrst_lo/1.0E3,c='r',linewidth=2)\n", "ax.plot(yrs[1:],intrst_avg/1.0E3,c='k',linewidth=2)\n", "ax.minorticks_on()\n", "ax.set_xlabel('Years')\n", "ax.set_ylabel('Interest Value (x $1000)')\n", "ax.set_xlim(1,Nyrs)\n", "ax.set_ylim(0,max(intrst_hi/1.0E3))\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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dJUlfiBqstKlr58+fZ+fOnZw+fZr/+Z//oWnTpoSHh9OrVy9157cZM2bw2WefcebMGVas\nWMHs2bPLFUNISAimpqbqyoIPFbcU7T8NHTqU5s2bM3nyZPz9/Tlw4AB///03p06dIiIigrCwMH7/\n/XcA1q9fz5kzZzh9+jSrV69Wf7jcv3+fnj17EhkZiZWVFbt27eL8+fOcPXuWRYsWlet6hKjLZPS+\nEE+xAQMG0LhxYxo3boyhoaE6R9/Ozo5z585x7949jh07VmAcQHZ2dpnbv3//PkuXLuXgwYPqsZLe\nCBb3I+XVV18lKysLS0tLvvzySw4cOICTkxOQv7jO33//Tb9+/Vi1apW6QU18fDzR0dG4ubmhq6vL\n6NGjAWjWrBkNGjRg2rRpPP/884UW6xFCFE+SvhBPsUeXr9XR0VE/P1x2V6vV0rx5cyIiIkpsZ8iQ\nIVy/fh1XV1e++uor9fjly5eJjY3FwcEByF9W1sXFhZMnTxZairakJWf/uQDPwoULmTFjRoEyoaGh\n/PLLL5w4cYIGDRowYMAAdXnfBg0aqPX19PQ4deoUv/zyC9u2bWPNmjX88ssvpX5XQgh5vC9EjVbR\ncbYP6zVp0gRzc3O2bdumHj937lyh8vv37yciIqJAwof8JwbXr19Xl7I1NTUlPDycNm3a4OXlRVBQ\nENnZ2cTExKh35aUZPHgw69ev5969ewAkJiZy8+ZN0tLSaN68OQ0aNOCvv/7ixIkTRda/d+8eqamp\nDB06lP/+97+cPXu2XN+NEHWZ3OkLUYOVtETtP88Vt+zu999/z6xZs/jggw/IycnB19e30Pv58sTz\nkI2NDT4+PtjY2KCnp4e/v3+xj/cfjWfgwIFcuHCBXr16Afk/TDZu3MiQIUP44osvsLGxoWvXrur5\nf/abnp7OiBEjyMrKQlEUWdRIiHKQKXtCCCFEHSGP94UQQog6QpK+EEIIUUdI0hdCCCHqCEn6os4o\nbj37uLi4QmUDAgJITk4utc3Jkyezffv2Is99/PHHWFtb4+TkhJubG4GBgRWK+/Dhwxw/frzY83v2\n7GH58uWlxlOcpUuXFvjcp0+f8gdZQY+uxgf5gw4dHBywt7enT58+BWYaTJ06lTZt2qgrEj7qs88+\nw9raGltbW+bPn19kXwEBAXTp0oUuXbqoCxcBxMTE0KNHDywtLRk3bhw5OTnqublz52JpaYmDg0Ox\n0x4ft74QVUoRoo7ZsGGD8tprr5VYxt3dXTlz5kypbU2ePFnZvn17oeNr165VhgwZoqSnpyuKoihp\naWlKQEBAheJdvHix8vHHHxd5Ljc3t1A827ZtK1f7BgYGFYrrcezYsUNxdnZW2rRpo/Tu3Vv5448/\nFEVRlGPHjimpqamKoijKjz/+qPTo0UOt89tvvynh4eGKra1tgbZ+/fVXxcPDQ8nOzlYURVFu3LhR\nqL+UlBSlU6dOyp07d5Q7d+4onTp1UvsZO3asEhwcrCiKosycOVNZu3atoiiKsnfvXmXo0KGKoijK\niRMnCsTyqMetL0RVkqQv6pxvv/1WmTNnjqIoihIREaH06NFDsbe3V0aOHKncuXNH2bp1q2JgYKB0\n7dpVcXJyUjIzM5UlS5Yorq6uiq2trTJjxgy1reKSbIcOHZSYmJgi+//5558VJycnxc7OTpk6dary\n4MEDRVEUpWPHjsrixYsVZ2dnxc7OTvnrr7+UmJgYxdjYWDExMVGcnJyU33//XZk0aZLyyiuvKD16\n9FDmzZunbNiwQb2eyZMnKzNnzlS6d++udOnSRfnhhx8KXbOiKMqwYcOU0NBQZf78+Yqurq7i6Oio\njB8/XlEURWncuLGiKIqi1WqV//znP4qtra1iZ2enJrZDhw4pzzzzjDJmzBjFyspKeemll8r9z6Bt\n27ZKbGys4ufnp9y4cUO5fv16oTK3b99WTExMChyLiYkplPTHjh2r/PLLLyX2t2nTJmXmzJnq51de\neUXZvHmzotVqlVatWil5eXmKoijK8ePHlcGDByuKoigzZsxQgoKC1Dpdu3ZVrl27VqDdx60vRFWT\nx/uiznl0zvfEiRNZsWIFZ8+exc7OjiVLljBmzBi6d+/Opk2bCA8Pp0GDBrz22mucOnWKP/74g8zM\nTH744Ydi209LSyM9PR0zM7NC57KyspgyZQpbtmzh3Llz5ObmsnbtWjWu1q1bExYWxqxZs/j4448x\nMzNj5syZzJs3j/DwcPr27YtGoyEpKYnjx4+zcuXKAu0risLVq1c5ffo0e/fuZebMmTx48KDIuf4a\njYYPP/yQhg0bEhERob5+eFh2x44dnD17lnPnzvHzzz/z5ptvcu3aNQAiIyNZtWoVUVFRXLlyhaNH\nj5brn4G+vj7Xr18HoHXr1hgZGRUqs27dOjw9PUttKzo6mt9++42ePXvi7u7OmTNnCpUpbp+A27dv\nY2hoqO7aZ2Jiou4fkJSURPv27QvUSUhIKNBuSkrKY9UXoqpJ0hd1VlpaGnfv3qVfv34ATJo0id9+\n+009rzyyhMWvv/5Kz549sbe359dffyUqKqpCfV68eBFzc3MsLCyK7HPUqFEAODs7ExsbW2QsAGPH\nji1yIRyNRoOPjw8AFhYWdOrUib/++qtCsR45coQXX3wRjUaDkZERzzzzDKdPn0aj0eDm5ka7du3Q\naDQ4OjoWiLUsNm/ezMKFC/n888955ZVXSElJKXD+0KFDrF+/Xh2rUJLc3Fzu3LnDiRMnWLFihXr9\npSltMyMo/L2Xpc6TrC/EkyZJX4j/r7j/QGdlZfHqq6+yfft2zp07x/Tp09U14YvStGlTDAwMiImJ\nKXTun//RVxSlwLGHa+fr6uqSm5tbbB+NGjUq/YL+Px0dHfT09NBqteqxkuJ/NNbivpNH1/wvKtb4\n+Hh1oOQ/l/YF6N27N7/88gtTp06lVatWBQbfPfyOd+/eTfPmzUuN09TUVP2x5Orqio6OTqEfEf/c\nJyA+Ph4TExNatGhBamqq+t08un9AWfYWaNmy5WPVF6KqSdIXdc7DRNa0aVOaN2/OkSNHAAgMDMTd\n3R3IXxo2LS0N+L8E2bJlSzIyMti6dWupfSxcuJBXX32V9PR0ADIyMggMDKRr167ExsZy+fJltc9n\nnnmmxLaaNGmitlPS9Tz8e+vWrSiKwuXLl7ly5Qpdu3bFzMyMyMhIFEUhPj6+wL73+vr6Rf7A6Nev\nH8HBwWi1Wm7evMlvv/2Gm5tbmfYDaN++PREREURERBTaWAfytwQGaNiwIfb29mRkZAAQFxfHqFGj\n2Lhxo/o0pDTe3t78+uuvAFy6dIns7GxatmxJYmIiHh4eAAwaNIgDBw6QmprKnTt3OHjwIIMHD0aj\n0TBgwAD1n2lAQADe3t4AeHl5qaP8T5w4gaGhIW3atCnQ9+PWF6Kqydr7os55dB34gIAAZs6cyf37\n9+ncuTPffvstkD/1bebMmTRq1Ihjx44xffp0bG1tMTY2pkePHoXa+6dZs2aRkZGBq6sr+vr66Ovr\n85///If69evz7bffMnbsWHJzc3Fzc2PmzJmF2nk0xuHDhzNmzBh2797N6tWrSyyr0Wjo0KEDbm5u\npKWl8eWXX1KvXj369OmDubk5NjY2WFtb4+LiotafMWMG9vb2uLi4EBgYqLY1cuRIjh8/joODAxqN\nhhUrVmBkZMSFCxeK3Q+grBYtWsSNGzeIjY3F1NSU9evXA/Dee+9x584dZs2aBeT/IHn4A8XX15fD\nhw+TkpJC+/btee+995gyZQpTp05l6tSp2NnZUa9ePTXRJicno6eX/5+4Fi1asGjRIlxdXQFYvHgx\nhoaGACxfvpxx48bxzjvv4OzszLRp0wDw9PRk3759WFhY0LhxY/XfDYBhw4axbt06jI2NK1RfiOoi\na+8LIarNkiVLWLx4caW0/fnnn9OxY0eef/75SmlfiKeR3OkLIWqlV199tbpDEKLGkTt9IYQQoo6Q\ngXxCCCFEHSFJXwghhKgjJOkLIYQQdYQkfSGEEKKOkKQvhBBC1BGS9IUQQog6otbM05eNLIQQQtRF\n5Zl5X6vu9BVFKfP/Fi9eXCllK7PtmhKHtF1z45C2a24c0nbNjeNpbru8alXSL4+HG6s86bIVKV8T\n4qgp11jetmvSd1JT4ngar7G85eUaH798ZbUt11i1bZebUks8rZeyePHi6g6h0sk11h514TrlGmuH\nunCNilL+3Fdn7/Rrikr/VVcDyDXWHnXhOuUaa4e6cI0VUWvW3tdoNBV6vyGEEEI8rcqb+yrtTj8r\nK4sePXrg6OiIjY0NCxcuBOD27dsMHDiQLl26MGjQIFJTU9U6y5Ytw9LSEisrKw4cOKAeDwsLw87O\nDktLS15//fXKClkIIYSo1Sot6Tdo0IBDhw4RGRnJuXPnOHToEEeOHOHDDz9k4MCBXLp0ieeee44P\nP/wQgKioKIKDg4mKimL//v3Mnj1b/fUya9Ys1q1bR3R0NNHR0ezfv7+ywhZCCCFqrUp9p9+oUSMA\nsrOzycvLo3nz5uzevZtJkyYBMGnSJHbt2gVASEgIvr6+6OvrY2ZmhoWFBSdPniQ5OZn09HTc3NwA\nmDhxolpHCCGEEGVXqUlfq9Xi6OhImzZtGDBgAN26deP69eu0adMGgDZt2nD9+nUAkpKSMDU1Veua\nmpqSmJhY6LiJiQmJiYmVGbYQQghRK1Xqinw6OjpERkZy9+5dBg8ezKFDhwqc12g0T3QlPT8/P/Vv\nd3d3Gb0phBCiVgkNDSU0NLTC9atkGd5mzZoxbNgwwsLCaNOmDdeuXcPY2Jjk5GSMjIyA/Dv4+Ph4\ntU5CQgKmpqaYmJiQkJBQ4LiJiUmR/Tya9IUQQoja5p83tEuWLClX/Up7vH/r1i11ZH5mZiYHDx7E\nyckJLy8vAgICAAgICMDb2xsALy8vgoKCyM7OJiYmhujoaNzc3DA2NqZp06acPHkSRVEIDAxU6wgh\nhBCi7CrtTj85OZlJkyah1WrRarVMmDCB5557DicnJ3x8fFi3bh1mZmZs2bIFABsbG3x8fLCxsUFP\nTw9/f3/10b+/vz+TJ08mMzMTT09PhgwZUllhCyGEELWWLM4jhBBCPKVqzOI8QgghhKhZJOkLIYQQ\ndYQkfSGEEKKOqFVJ38/P77HmLwohhBBPg9DQ0ApNU5eBfEIIIcRTSgbyCSGEEKJIkvSFEEKIp8yN\nezcYsrH8a9ZUyTK8VcUv1I8lhwsvSbj4mcX4uftJeSkv5aW8lJfytaL8iM0jOJF4otDx0sg7fSGE\nEOIpcuPeDTp+2pGs3CzwQ97pCyGEELXVR0c/Iis3i3YG7cpdV5K+EEII8ZS4ee8mn5/+HIDu7bqX\nu36tSvoVmacfGxvLhg0bChz773//S7du3XBwcMDDw4O4uLgi6y5btoxu3bphZ2fHiy++yIMHDwqc\nX7lyJTo6Oty+fVvtq2HDhjg5OeHk5MTs2bOLbHffvn04Ojri5OREv379uHz5MgAhISE4ODjg5OSE\ni4sLv/76q1rHzMwMe3t7nJyccHNzK7LdW7duMWTIEBwdHbG1tS1w3VOnTqVNmzbY2dmV+H2tWbNG\nrbd161a6deuGrq4u4eHhhb4bS0tLrKysOHDgAAAPHjxgyJAh2NnZsXbtWrXsjBkziIiIKLK/DRs2\n8Nprr5UY09WrV9m8eXOJZZ6EpUuXqn8/ePCA/v37o9VqK71fIYR4aNmRZWTlZtH2ZlviQorOTSVS\naomKXIq/v79ibW2ttG/fXnF3d1euXbumKIqiHDp0SMnMzFQURVHWrl2rvPDCC4XqxsTEKObm5kpW\nVpaiKIri4+OjbNiwQT0fFxenDB48WDEzM1NSUlLUOra2tqXGZWZmpvz1119qjJMnT1YURVEyMjLU\nMufOnVM6d+5coM7DfoqzePFiZcGCBYqiKMrNmzeVFi1aKDk5OYqiKMpvv/2mhIeHlxifVqtVHB0d\n1ToXLlxQLl68qLi7uythYWFqufPnzysODg5Kdna2EhMTo3Tu3FnJy8tTQkJClP/93/9VtFqt0qtX\nL0VRFCUyMlJ5+eWXi+1zw4YNypw5c0q8rkOHDinPP/98iWX+6eE1lIeBgUGBz2+//bayffv2crcj\nhBAVkZSWpNR7v56CH8r03dOVqbumljv31ao7/fJIT0/Hz8+PTZs28f777xMQEEDjxo0BcHd3p0GD\nBgD06NHGBrcoAAAgAElEQVSDhISEQvWbNm2Kvr4+9+/fJzc3l/v372NiYqKenzdvHh999FGFYjM2\nNubu3bsApKamqu0+jA8gIyODVq1aFainlDKYo23btqSlpQGQlpZGy5Yt0dPLn8DRr18/mjdvXmL9\no0ePYmVlpdaxsrKiS5cuhcqFhITg6+uLvr4+ZmZmWFhYcOrUKerVq8e9e/fIzs5WY3333Xd5//33\nS+z3ocmTJ/P666/Tp08fOnfuzPbt2wFYsGABv//+O05OTqxatQqtVsubb76Jm5sbDg4OfPXVV0D+\nClb9+vVjxIgR2NraFlsuOTmZ/v374+TkhJ2dHUeOHGHBggVkZmbi5OTEhAkTAPDy8qqSJwxCCAHw\n3m/vkZ2XjWULS9o1Kf/7fKhlU/bKQ0dHB41GQ0pKCgAdOnQosty6devw9PQsdLxFixa88cYbdOjQ\ngYYNGzJ48GA8PDyA/KRnamqKvb19oXoxMTE4OTnRrFkzPvjgA/r27VuozJo1axg0aBCNGjWiadOm\nnDjxf9Mydu3axcKFC0lOTlYfm0P+7AUPDw90dXV55ZVXmD59eqF2p0+fzrPPPku7du1IT09ny5Yt\npXxLBR05cgRXV9dSyyUlJdGzZ0/1s6mpKUlJSYwYMYLAwEB69erFW2+9xe7du3FxccHY2LjMMVy7\ndo2jR49y4cIFvLy8GD16NMuXL+fjjz9mz549AHz11VcYGhpy6tQpHjx4QN++fRk0aBAAERERnD9/\nno4dOxZbbseOHQwZMoS3334brVbL/fv36du3L59//nmB1xCOjo4cO3aszLELIURFXU29yjfh3wDg\n0cmjwu3U2aTfuHFjvv76axYuXMi1a9f4888/ee+992jYsKFaZuPGjYSHh/PJJ58Uqn/58mU+/fRT\nYmNjadasGWPHjuX7779n5MiRLF26lIMHD6plH97VtmvXjvj4eJo3b054eDje3t6cP3+eJk2aqGW1\nWi0TJkxg//79uLq68vHHHzNv3jy+/vprALy9vfH29ub3339nwoQJXLx4Eci/C2/bti03b95k4MCB\nWFlZ0a9fvwIxL126FEdHR0JDQ7l8+TIDBw7k7NmzBfovSVxcXJE/UspKV1eX77//HoCcnByGDBlC\nSEgI8+bNIz4+nokTJzJ8+PBi62s0Gry9vQGwtrbm+vXrQOEnHAcOHOCPP/5g27ZtQP5Tjb///hs9\nPT3c3Nzo2LFjieVcXV2ZOnUqOTk5eHt74+DgUGQ89evXR6vVkpWVpT4ZEkKIyuB32I9cbS7Wrawx\namxU4Xbq7ON9gOHDh7N161beeustbt68ycqVK9VzP//8M0uXLmX37t3o6+sXqnvmzBl69+6tPiIf\nNWoUx44d48qVK8TGxuLg4IC5uTkJCQm4uLhw48YN6tWrpz5Cd3Z2pnPnzkRHRxdo9+bNm2RnZ6t3\n1D4+PkXeTfbr14/c3Fz1SUXbtm0BaN26NSNHjuTUqVOF6hw7doyxY8cC0LlzZ8zNzdUfDWVV2isE\nABMTE+Lj49XPCQkJBV59APj7+zNp0iROnDiBoaEhwcHBBb7/4tSrV69MsaxZs4aIiAgiIiK4fPmy\n+hTm0VckxZXr168fv//+OyYmJkyePJnAwMBi+1EUBY1GU2rcQghRUX/f/pvvzn6HBg3PmT/3WG3V\n2aR/7949rl69iqIoGBgYYG1tTUZGBpD/CHjmzJns2bOn0HtzKysrALp27cqJEyfIzMxEURR+/vln\nbGxssLW15fr168TExBATE4OpqSnh4eEYGRlx69Yt8vLyALhy5QrR0dF06tQJgIkTJ3LmzBlat27N\n/fv31R8DBw8exMbGBsh/uvAw0T0cLd+yZUvu379Penq6el0HDhwochS+lZUVP//8MwDXr1/n4sWL\nav9l0bFjR65du1bkuUcTsJeXF0FBQWRnZxMTE0N0dHSBGQV37txh7969TJw4kfv376Ojk/+vYWZm\nZontFqdJkybq9QMMHjwYf39/cnNzAbh06RL3798vVK+4cnFxcbRu3ZqXX36ZadOmqY/09fX11bKQ\nP4JfV1eX+vXrlxqjEEJU1LuH3kWraLE1sqVlo5aP1Vadfbyfk5PDzJkzSUlJ4datW3Ts2JFNmzYB\n8NZbb3Hv3j3GjBkD5Ce7Xbt2cevWLbW+o6MjEydOpHv37ujo6ODs7MyMGTMK9fPoXeBvv/3Gu+++\ni76+Pjo6Onz55ZcYGhoC8Mcff9CuXTt0dHRYv349Pj4+KIpCixYtWL9+PQDbt2/nu+++Q19fHwMD\nA4KCgoD899yjRo0CIDc3l5deekl9h/3ll18C8Morr/D2228zZcoUHBwc0Gq1fPTRR7Ro0QIAX19f\nDh8+TEpKCu3bt+e9995jypQpBa6lb9++rFmzRv28c+dO5s6dy61btxg2bBhOTk78+OOP2NjY4OPj\ng42NDXp6evj7+xf4Ht5//33eeecdID/xfv7559jb2zNr1qwiv79H6xb1t4ODA7q6ujg6OjJlyhTm\nzp1LbGwszs7OKIqCkZERO3fuLNTWyy+/XGS50NBQVqxYgb6+Pk2aNOG7774D8qcW2tvb4+LiQmBg\nIBEREfTq1atQzEII8aRE3Ywi6M8gdDQ6PGv+7GO3V6uW4V28eDHu7u64u7uXud7Vq1cJDQ1l0qRJ\npZbdu3cvMTExzJkz5zEiLSwtLY3p06cTHBz8RNt90hRFwdnZmZMnTxZ4zF5Xvf3227i6ujJy5Mjq\nDkUIUUuNDB7Jrr924WTshFdXL/V4bGQsZ0+cJTI4slzL8NaqpF+RSylP0hf57+IbNmxY6ClAXfPg\nwQMGDhzI4cOH5Z2+EKJSRF6LxOlLJ3Q1usztMZem9ZsWOB9/N5713usl6QshhBBPuyEbh/DT5Z9w\nbeeKp2XhqeMVSfp1diCfEEIIUVMdjTvKT5d/Qk9Hj/4d+z+xdiXpCyGEEDWIoij8+6d/A9DTpCcG\n9QyeWNuS9IUQQogaZPfF3ZxOOk0DvQb07VDxBdGKIklfCCGEqCFytbn858B/AHim4zPU13uy64BI\n0hdCCCFqiG8jvuXvO3/TtF5TXNuVvtdJedWqpO/n50doaGh1hyGEEEKU2/2c+7xzKH/hMo9OHujq\n6BZbNjYylvDN4eXuo1atyOfn51fdIQghhBAV8snxT7hx7wZGjYywNbItsayZoxm65rpEBkeWq49a\ndacvhBBCPI1u3b/FsiPLABhsMbjSFv2SpC+EEEJUs/cOv8e9nHuYNTOjU/Oyb4RWXpWW9OPj4xkw\nYADdunXD1taW1atXA/mP4E1NTXFyclI3aHlo2bJlWFpaYmVlxYEDB9TjYWFh2NnZYWlpyeuvv15Z\nIQshhBBVLuZODGvPrAXy7/IrU6W909fX1+eTTz7B0dGRjIwMXFxcGDhwIBqNhnnz5jFv3rwC5aOi\noggODiYqKorExEQ8PDyIjo5Go9Ewa9Ys1q1bh5ubG56enuzfv58hQ4ZUVuhCCCFElZn/83xytbl0\na90NYwPjSu2r0u70jY2NcXR0BFD3q09MTASK3iM9JCQEX19f9PX1MTMzw8LCgpMnT5KcnEx6erq6\nH/vEiRPZtWtXZYUthBBCVJmTCSfZGrUVXY0uHp08Kr2/KnmnHxsbS0REBD179gTgs88+w8HBgWnT\nppGamgpAUlISpqamah1TU1MSExMLHTcxMVF/PAghhBBPK0VReHXfqwD0MO2BYQPDSu+z0qfsZWRk\nMGbMGFatWoWBgQGzZs3i3XffBWDRokW88cYbrFu37on09eiUPXd3d9zd3Z9Iu0IIIcSTtvnPzYQl\nh9FQryH9O5RtU53YyFhiI2MBuJt1t9x9VmrSz8nJYfTo0YwfPx5vb28AjIyM1PMvv/wyw4cPB/Lv\n4OPj49VzCQkJmJqaYmJiQkJCQoHjJiYmRfYn8/SFEEI8DTJzMnnjwBsAeJh7lHm5XTNHM8wczYD8\nrXVrzDx9RVGYNm0aNjY2/Otf/1KPJycnq3/v3LkTOzs7ALy8vAgKCiI7O5uYmBiio6Nxc3PD2NiY\npk2bcvLkSRRFITAwUP0BIYQQQjyNVhxbwbWMa7Rq1ArHto5V1m+l3ekfPXqUjRs3Ym9vj5OTEwBL\nly5l8+bNREZGotFoMDc358svvwTAxsYGHx8fbGxs0NPTw9/fX12cwN/fn8mTJ5OZmYmnp6eM3BdC\nCPHUSkpPUhfiGWY5DB1N1S2Zo1GKGkr/iNTUVI4fP05sbCwajQYzMzN69epFs2bNqirGMtFoNEXO\nChBCCCFqkgk7JrDxj41YtrDkRbsXK9xO/N141nuvL1fuK/bnxe+//46Xlxf9+/cnKCiIuLg4YmNj\n2bx5M/369cPLy4sjR45UOFghhBCirglLCmPjHxvR0egwxKLqn1oX+3h/586drFy5EktLyyLPX7p0\niS+++IK+fftWWnBCCCFEbaEoCrP3zQbAtZ0rLRq2qPIYSn28/7SQx/tCCCFqsi3nt/DCthdooNeA\n13u8TgO9Bo/VXkUe75c4kO/ChQuEhISoi+GYmpri5eWFtbX1YwVaWfz8/GR+vhBCiBonIzuDuT/O\nBeA5s+ceO+HHRsZy9sTZctcr9p3+8uXL8fX1BaBHjx706NEDrVaLr68vy5Ytq3iklehh0hdCCCFq\nkvcOv8f1e9cxamyEczvnx27PzNEMZ9/yt1Ps431LS0uioqLQ19cvcDw7OxsbGxv+/vvvikVaSeTx\nvhBCiJro4q2L2K61JVebyzSnaZg2NS29Uhk80dH7urq6Ra5xn5SUhK6ubsUiFEIIIeoQRVGYtXcW\nudpc7I3sn1jCr6hi3+l/+umneHh4YGFhQfv27QGIj48nOjqaNWvWVFmAQgghxNNq5187ORR7iHq6\n9RjUeVB1h1N80h8yZAgXL17k1KlTJCUlAfnr43fv3h09vUrfp0cIIYR4qt3Puc+cfXMAeM78ORrX\na1zNEZUyel9XVxdzc3Pq1asH5I/el4QvhBBClO79w++TnJFM60at6d6ue3WHA5SQ9CMiIpg1axap\nqanqfvYJCQkYGhri7++Ps/Pjjz4UQgghaqPolGhWHl8JwPAuw6t0ff2SFJv0J0+ezFdffUWPHj0K\nHD9x4gRTpkzh7Nnyzw+sbDJPXwghRHVTFIXZe2eTo83BzsiO9s3aP/E+KjpPv8Qpe9HR0UVWsrCw\nkCl7QgghRBG2RW1j7Nax1NOtx1y3uZX2Lv+Jrsg3dOhQPD09mTRpEu3bt0dRFOLj4/nuu+9ka1sh\nhBCiCHez7jJ7b/76+jVl8N6jik36q1evZt++fYSEhBQYvT9nzhw8PT2rLEAhhBDiaTH/5/ncvH8T\nYwNjXNu5Vnc4hciGO0IIIcQTcDz+OH3W9wHgFZdXaGPQplL7e6KP93Nycli3bh27du1SV+YzMTHB\n29ubadOmFVqeVwghhKircvJymBIyBQWFXqa9Kj3hV1SxSX/ChAk0b94cPz8/TExMgPwpewEBAYwf\nP57g4OAqC1IIIYSoyVYcW8HFlIs0rd+UAWYDqjucYhWb9MPCwgqN3m/fvj29evXC0tKy0gMTQggh\nngaXb19myeElQP6cfH3dmvskvNjVAlq0aMGWLVvQarXqMa1WS3BwMC1atKiS4MrLz8+P0NDQ6g5D\nCCFEHaEoCi/vfpnsvGxsWttg0cKiSvqNjYwlfHN4uesVO5AvJiaG+fPnc+jQIQwNDQFITU1lwIAB\nLF++HHNz88eL+AmTgXxCCCGq2sZzG5mwcwL1devzmttrVTpF74kO5DM3N2fLli0oikJKSgoALVu2\nRKPRPH6kQgghxFPu5r2bvPbjawAM6jSoxs3JL0qpiwFrNBpatWpFq1at1IR/8ODBSg9MCCGEqMlm\n7p1JalYq7Zu2x6mtU3WHUyYV2gFg6tSpTzoOIYQQ4qmx48IOdlzYgZ6OHiOtRj41T8GLfbw/fPjw\nYis9fNwvhBBC1DUp91OYsWcGkL/UbvOGzas5orIrNukfOXKEwMBADAwM1GMPB8udPHmySoITQggh\napo5++aQkpmCSRMTepj0KL1CDVJs0u/RoweNGjUqcpvarl27VmZMQgghRI30w6UfCDofhK5G96l6\nrP9QrVp7f/Hixbi7uxf5Q0UIIYR4HKlZqXRd05Ub927gYe5Bnw59qi2W2MhYzp44S2RwZLmm7NWq\npF9LLkUIIUQNNHHnRALPBdLWoC0vO7+MjqZCY+GfmIrM0y8x4qCgIC5fvgzAuXPnsLCwoG3btmzb\ntu3xIhVCCCGeIj9G/0jguUB0NbqMsh5V7Qm/okqMesWKFZiamgLwzjvv8OmnnxIWFsaSJUuqJDgh\nhBCiut3OvM3kXZMBeMbsGVo1alW9AT2GYpO+n58fSUlJLF++nMWLF3P06FFOnz7N119/TVpaGkuW\nLCkx+cfHxzNgwAC6deuGra0tq1evBuD27dsMHDiQLl26MGjQIFJTU9U6y5Ytw9LSEisrKw4cOKAe\nDwsLw87ODktLS15//fUncd1CCCFEqRRFYfru6dy4f4N2Bu3o07763uM/CSW+03/mmWeYNm0at27d\nIiwsjO+//x6A3r17c+zYsRIbvnbtGteuXcPR0ZGMjAxcXFzYtWsX3377La1ateKtt95i+fLl3Llz\nhw8//JCoqChefPFFTp8+TWJiIh4eHkRHR6PRaHBzc2PNmjW4ubnh6enJ3LlzGTJkSMELkXf6Qggh\nnrDvz33P+J3j0dPRY1b3WbRoWHM2nHvi7/TXrl3LDz/8QEREBCtWrAAgKiqKYcOGldqwsbExjo6O\nABgYGGBtbU1iYiK7d+9m0qRJAEyaNIldu3YBEBISgq+vL/r6+piZmWFhYcHJkydJTk4mPT0dNzc3\nACZOnKjWEUIIISpL/N14Zu2dBcDgzoNrVMKvqGLn6QPY2NiwZcuWQsdsbGzK1UlsbCwRERH06NGD\n69ev06ZNGwDatGnD9evXAUhKSqJnz55qHVNTUxITE9HX11fHFQCYmJiQmJhYrv6FEEKI8tAqWsbv\nGE96djqdmnfCpa1LdYf0RJSY9J+EjIwMRo8ezapVq2jSpEmBcxqN5okubODn56f+LfP1hRBCVNTq\nk6v5Le43Gug1qFGL8MRGxhIbGQvA3ay75a5fqUk/JyeH0aNHM2HCBLy9vYH8u/tr165hbGxMcnIy\nRkZGQP4dfHx8vFo3ISEBU1NTTExMSEhIKHDcxMSkyP4eTfpCCCFERUTdjGL+z/MB8OrihUE9g1Jq\nVB0zRzPMHM2A/NcPkcGR5apfaRMNFUVh2rRp2NjY8K9//Us97uXlRUBAAAABAQHqjwEvLy+CgoLI\nzs4mJiaG6Oho3NzcMDY2pmnTppw8eRJFUQgMDFTrCCGEEE9Sdl4247aNIzsvG3sje6xbW1d3SE9U\nqUn/nXfeITc3V/189+5dJk+eXGrDR48eZePGjRw6dAgnJyecnJzYv38/CxYs4ODBg3Tp0oVff/2V\nBQsWAPljBXx8fLCxsWHo0KH4+/urj1P8/f15+eWXsbS0xMLCotDIfSGEEOJJePuXt/njxh80qdcE\nT0vP6g7niSt1Gd6FCxfy008/8e2333L9+nVee+015syZw2uvvVZVMZaJTNkTQgjxOA5cPsDgjYPR\noGGy42Q6NOtQ3SGVqCJT9kp9p79s2TKee+45evbsSfPmzTl8+DCWlpaPFagQQghRk1zPuM6L218E\noH/H/jU+4VdUqY/3Dx8+zNy5c1m0aBHPPPMMc+fOlSlzQgghag2tosV3uy8pmSmYNjWlf8f+1R1S\npSn1Tv/NN99k27Zt6tz8HTt28Oyzz3Lx4sVKD04IIYSobCuOruBQ7CHq69ZnrM3Yp3YznbIo9Z1+\nbm4uenoFfxvcunWLVq1q1oYDGo2GxYsXy/x8IYQQZXY68TS91vUiT8njhW4vYNXKqrpDKpPYyFjO\nnjhLZHDkk1mGd8OGDUUmfIBWrVqRnZ3Nt99+W7FoK4mfn58kfCGEEGWS9iCN0VtGk6fk0b1t96cm\n4UP+fH1nX+dy1yv28X5GRgaurq5YWVnh6uqKsbExiqJw7do1zpw5w19//cX06dMfK2ghhBCiOiiK\nwsu7XyY+LZ7WjVoz2GJwdYdUJUp8vK8oCkePHuXIkSPExcUB0LFjR/r27Uvv3r1rzLKEIFP2hBBC\nlN0XZ75g1t5Z6Ono8YrLK7RqVLNeWZfFE5+yp9Fo6Nu3L3379n3s4IQQQoiaICwpjLk/zgXgecvn\nn8qEX1G1d4iiEEII8Q93Mu/gHeRNjjYHJ2MnHIwdqjukKiVJXwghRJ3wcD5+QnoCRo2NauUyu6WR\npC+EEKJO+PDIh/x0+Sfq6dbD19YXPZ1K312+xik16X/66afcvXtX3TXPycmJn376qSpiKzc/Pz9C\nQ0OrOwwhhBA1TGhsKIsOLQJglNUoDBsYVnNEjyc2MpbwzeHlrlfq4jz29vacO3eOn376iS+++IL3\n33+fCRMmEBERUeFgK4OM3hdCCFGU5PRk7NbakZKZQu/2vRnYaWB1h/REVGT0fql3+g8b27t3LxMm\nTMDW1rbiEQohhBBVKDsvm1HBo0jJTKF90/Y8Z/5cdYdUrUpN+i4uLgwaNIh9+/YxZMgQ0tLS0NGR\noQBCCCFqvtf2vcaJxBM00m+ETzefWr2uflmUOoph3bp1nD17lk6dOtGoUSNSUlJq3PK7QgghxD99\nFfYVX4V/hY5GB19bXwzqGVR3SNWu1J88Go2G8+fPs3r1agDu3btHVlZWpQcmhBBCVNSx+GO8uu9V\nAIZZDsO0qWk1R1QzlJr0Z8+ezYkTJ9i0aRMABgYGzJ49u9IDE0IIISoiKT2JEUEjyNXm4tLWBee2\n5d+YprYq9fH+yZMniYiIwMnJCYAWLVqQk5NT6YEJIYQQ5fUg9wHDNw/n1v1bmDY1ZajF0OoOqUYp\n9U6/Xr165OXlqZ9v3rxZYwfyyTx9IYSouxRFYcaeGYQnh2NQz4Bx3cahq6Nb3WFVikqbp79x40a2\nbNlCWFgYkyZNYtu2bXzwwQf4+PhUONjKIPP0hRCiblt1YhX/+ulf6Gp0meY0jbZN2lZ3SJXqie+y\nBzB+/HhcXFz45ZdfAAgJCcHa2rriUQohhBBP2N5Le/n3T/8GYETXEbU+4VdUqUk/Li6Oxo0bM3z4\ncCD/jjouLo4OHTpUenBCCCFEaf64/gc+23xQUOjXoR92beyqO6Qaq9Sk7+npiUajASArK4uYmBi6\ndu3K+fPnKz04IYQQoiTXMq4xZOMQ7ufcx7qVNQPMBlR3SDVaqUn/zz//LPA5PDyczz//vNICEkII\nIcoiMyeTYZuGkZSRhLGBMaOsR6k3qaJo5R6G7+zszMmTJysjFiGEEKJMtIqW8TvGE54cTpN6TXjJ\n7qU6uVVueZX6Da1cuVL9W6vVEh4ejomJSaUGJYQQQpTknV/fYcdfO9DX0We8/XhZYreMSr3TT09P\nJyMjg4yMDLKzs3n++ecJCQmpitjKTebpCyFE7bcuYh3LjixDg4axNmMxamxU3SFVuUqbp/+0kHn6\nQghR++27tI/hQcPRKlqGWgzFzcStukOqNk90nv7DKXpF0Wg07N69u3zRCSGEEI/hdOJpRm8djVbR\n0rt97zqd8Cuq2KT/xhtvVGUcQgghRLEu377M4I2DycrNwra1LR7mHtUd0lOp2KTv7u7+2I1PnTqV\nvXv3YmRkxB9//AHkv3f/5ptvaN26NQBLly5l6ND8DRGWLVvG+vXr0dXVZfXq1QwaNAiAsLAwJk+e\nTFZWFp6enqxateqxYxNCCPF0uHHvBs9+9yx3su5g1swMbytvmZpXQaUO5Lt06RJjxozB2toac3Nz\nzM3N6dSpU5kanzJlCvv37y9wTKPRMG/ePCIiIoiIiFATflRUFMHBwURFRbF//35mz56tvqeYNWsW\n69atIzo6mujo6EJtCiGEqJ3uZd9jcOBg4u7G0bpRa8bZ1t5NdKpCqUl/ypQpzJw5E319fUJDQ5k0\naRIvvfRSmRrv168fzZs3L3S8qEEHISEh+Pr6oq+vj5mZGRYWFpw8eZLk5GTS09Nxc8t/dzNx4kR2\n7dpVpv6FEEI8vXLychgZPJLI65E0qdeEiQ4Tqa9Xv7rDeqqVmvQzMzPx8PBAURQ6duyIn58fe/fu\nfaxOP/vsMxwcHJg2bRqpqakAJCUlYWpqqpYxNTUlMTGx0HETExMSExMfq38hhBA1W542jxe3v8jB\nKwepr1ufiQ4TZS7+E1Dq4jwNGjQgLy8PCwsL1qxZQ7t27bh3716FO5w1axbvvvsuAIsWLeKNN95g\n3bp1FW7vUX5+furf7u7uT2RcghBCiKqlKAqv/PAK2y5sQ19Hn4kOE2nVqFV1h1UjxEbGEhsZC8Dd\nrLvlrl9s0r927RrGxsasWrWK+/fvs3r1ahYtWkRaWhoBAQEVDtjI6P8WUXj55ZfVqYEmJibEx8er\n5xISEjA1NcXExISEhIQCx4tbEfDRpC+EEOLpNP/n+ayLWIeORgdfW1/aNWlX3SHVGGaOZpg5mgH5\n8/QjgyPLVb/Yx/sODg54eHhw7tw58vLyaN++PRs2bGDHjh307NmzwgEnJyerf+/cuRM7u/wtEL28\nvAgKCiI7O5uYmBiio6Nxc3PD2NiYpk2bcvLkSRRFITAwEG9v7wr3L4QQouZa+vtSVhxbgQYNPjY+\nmDc3r+6QapVi7/QTExP5+eefCQoK4u2336Znz574+voyYsQIGjZsWKbGfX19OXz4MLdu3aJ9+/Ys\nWbKE0NBQIiMj0Wg0mJub8+WXXwJgY2ODj48PNjY26Onp4e/vr07J8Pf3Z/LkyWRmZuLp6cmQIUOe\nwKULIYSoSfxP+/M/v/4PACOtRtK1Vddqjqj2KdMyvA8ePODHH38kODiYQ4cO8eyzz7Jp06aqiK/M\nZBleIYR4en1/7nsm7JyAgoKnhSeuJq7VHVKNV5FleMu0tW79+vWxsbHB2tqaJk2acOHChQoHKYQQ\nQg6l61kAACAASURBVDwq+M9gNeEPMBsgCb8SlZj04+Li+Oijj3B2dub5558nLy+PPXv2EBERUVXx\nCSGEqMW2RW3jxR0voqDQt31f+nfsX90h1WrFvtPv3bs3CQkJ+Pj48PXXX+Pi4lKVcQkhhKjldv21\ni3Hbxqkb6Dxr/mx1h1TrFZv0ly1bRr9+/dDRKdMbgBrBz89P5ucLIcRTYM/FPYzdOpY8JY+eJj3x\nMPeQ9fTLITYylrMnzpa7XpkG8j0NZCCfEEI8HX6M/hGvIC9ytbm4tXNjiMUQSfgVUGkD+YQQQogn\nYX/0fkYEjSBXm0v3tt0l4VexUpP+lStXynRMCCGEKMmuv3YxPGg4OdocnI2d8bT0lIRfxUpN+qNH\njy50bOzYsZUSjBBCiNppy/ktjNkyRr3Df77L85Lwq0GxA/kuXLhAVFQUd+/eZceOHSiKgkajIS0t\njaysrKqMUQghxFMs8Gwgk0Mmo1W09DLtxcBOAyXhV5Nik/6lS5fYs2cPd/8fe+cdHlW1/e93Jr33\nnpAEkhACBEJHiiBV6gUBBQTErlcU7/WC2MhFUfjZUfEKXxTEAnZBESkSOoQSekkhvU/qZFJn5vz+\nOGZISEISSEjb7/OcZ2bO2WefdSaT+cxae629CwrYvn27Yb+NjQ3r16+/I8YJBAKBoG2z7tQ6nvzt\nSSQkhnUaxki/kULwW5B6s/ePHDnCXXfddafsuWVE9r5AIBC0Lj46/hHP7nwWgHv87mGY77AWtqh9\ncSvZ+3V6+pUEBASwcuVKEhIS0Gq1gCywn3/++a1b2kyIOn2BQCBoeSRJ4vUDr7M8YjkAY7uMZbD3\n4Ba2qn3RbHX6gwcPZvjw4fTt29cwUY9Coag1wa8lEZ6+QCAQtDx6Sc/inYv5KPIjACYGTqSfZ78W\ntqp90iyefklJCatXr74twwQCgUDQ/qnQVTD/5/lsubgFpULJ9ODpdHft3tJmCapQb8nepEmT+P33\n3++ELQKBQCBooxRXFDPp20lsubgFY6Uxc3rMEYLfCqk3vG9tbU1xcTGmpqaYmJjIJ/1duteaEOF9\ngUAgaBnyS/MZ99U4IlMjMTMyY17oPLxsvVrarHZPs4T3i4qKbssogUAgELRfkguSGbN5DFdzrmJl\nYsWCXgtwsXJpabMEdVBveF+v17N582ZWrFgBQFJSEpGRkc1umEAgEAhaN2cyztBvfT+u5lzFwdyB\nx/o8JgS/lVOv6D/99NMcPXqUb775BpDD/U8//XSzGyYQCASC1svO2J3cteEusjRZeNl48Vifx7Az\nt2tpswT1UK/oHz9+nLVr12JhYQGAo6MjFRUVzW7YrRAeHk5ERERLmyEQCATtms9OfcbEbyZSoi0h\nxDmEh3o/hIWJRUub1aFIOJPAkc+ONPq8esf0TU1N0el0htfZ2dmGev3WRnh4eEubIBAIBO0WSZJY\ntncZqw/LZdx3ed/F6M6jxbS6d5iy4jKiD10m+s+rjT9ZqofNmzdLkydPljw9PaVly5ZJgYGB0tat\nW+s77Y4DSMuXL5eAGtvy5ctrPUe0F+1Fe9FetG9Y+9KKUmnmdzMlwpEU4QopcHpgre3vXnC3tHzf\n8hrb3QvuFu1vs/1rf70m3ffqdMnW3qJam8ZQb8keyCvu7d27F4BRo0bRrVu3+k6544iSPYFAIGge\nMosymfLtFCLTIjFWGjMzZCZBTkEtbVaHQpWkYsc7vxJ/PgWAPq7OfDboLvpv29Yo7WuQ6Ofl5ZGU\nlIRWqzWEcfr06XOLpjcPQvQFAoGg6TmTcYYJX08gvSgdKxMr5vaci4eNR0ub1WEoLynnwMYIjv1w\nDJ1ewsHUhFVjxvJo374oU1JQfN7EdfqvvvoqGzdupHPnztXG8vft23drdyAQCASCNsH3F79n/i/z\nKdWW4mHtwZyec7A2tW5pszoEkiRxYe959nyyk8L8EgAeDu3B6nH34mxpecv91puRt3XrVuLi4ti/\nfz/79u0zbO2FhIQENm7cWG3fgQMH6NOnDyYmJvz44491nvvwww/j5uZGz549q+2PjIxkwIABhIWF\n0b9/f06cOAFAbm4uI0eOxMbGhkWLFtXZ78cff0xAQABKpZLc3NxqxyIiIggLC6NHjx7VVhPMz89n\nxowZdOvWjZCQEI4dO1Zr388++yyBgYH06tWLqKgoAEpLSxk4cCC9e/cmJCSEZcuW3dS2yvfr/vvv\nJywsjLCwMPz9/QkLCwPg8OHD9OrVi/79+xMbG2uwb9y4cXX2O2LECE6dOlXncYBff/2Vy5cv37TN\n7XL27Fn++OMPw+tt27bx+uuvN+s1BYLWhl7S88pfrzDrh1mUakvp4dqDh8MeFoJ/h0i7msYXT37G\nTyt/pjC/hF7OThx75BE2TLvvtgQfGiD63bt3Jy8v77Yu0lr59NNPmTBhAq+99hojR44kMzMTAF9f\nXzZt2sScOXNuev7ChQvZuXNnjf1Llizh9ddfJyoqihUrVrBkyRIAzM3NeeONN3jnnXdu2u/QoUPZ\nu3cvvr6+1fbn5+fzz3/+k+3bt3PhwgV++OEHw7HnnnuOCRMmcPnyZc6dO1dr3sWOHTuIjY0lJiaG\ndevW8dRTTxns2rdvH2fOnOHcuXPs27ePQ4cO1ThfkiQ2bNjAgw8+CMg/CKOiooiKiuK+++4zrLz4\n3nvv8ccff/DBBx/wv//9D4A33niDl19+uc57VigU9WYA//zzz1y6dOmmbW6kauVJQ4iKimLHjh2G\n15MnT+bHH39stWWqAkFTU1RexD+2/IOVB1eiQMFo/9FMD56OsbLewLDgNlHnqPl15Y+sf3I9ydGZ\nOJubsX7SJE499TQDvb2b5Br1/hVfeuklg2dpZmYGyF/Q27ZtaxIDmpLw8HBGjBhRzQOuC7VaTXh4\nOH/++Sdnz55l5MiRWFlZARjEtr7SxGHDhpGQkFBjv4eHBwUFBYAs1F5e8hzUlpaWDBkyhJiYmJv2\n27t371r3f/PNN9x33314//3Hd3Z2BqCgoICDBw+yadMmAIyNjbGzqzlJxrZt21iwYAEAAwcOJD8/\nn8zMTNzc3LD8+9djeXk5Op0OR0fHGucfPnyY4OBgjI2rf2wkSeK7774zRIBMTEzQaDRoNBpMTU2J\ni4sjJSWF4cOH3/S+K7G2tmbx4sX89ttvWFhY8OuvvxIbG8v27ds5cOAAb7zxBj/99BN6vZ5nnnmG\n7OxsLC0tWb9+PV27duWhhx7C3NycM2fOMHToUJ566qla233//fesWLECIyMj7O3t2b17N6+99hql\npaUcOnSIl156iZkzZzJ48GB27drFxIkTG2S/QNBWuZZ3jcnfTOaS6hKmRqbM6DaDQKfAljar3aMt\n13J062EOfXWQ8nIdJgoFi/r3Y/k9o7D9W3dvJCIhgYizZxt9rXpFf/78+bz44ov06NHDIIKttSaz\nMXX6SqUShUJBTk4OAJ06dWoyO1atWsXQoUN54YUX0Ov1HD16tNrxW33/YmJiqKioYOTIkajVap57\n7jnmzZtHfHw8Li4uLFy4kLNnz9K3b18+/PBDg5BXkpqaio+Pj+G1t7c3KSkpuLm5odPp6Nu3L3Fx\ncTz11FOEhITUuP6hQ4fo379/jf0HDx7Ezc2NLl26ALBs2TLmz5+PpaUlX375JS+88AIrV65s8H0W\nFxczePBg3njjDZYuXcr69et5+eWXmTJlCpMnT2b69OmAXEny2WefERAQwPHjx3n66acNVSZpaWkc\nPXoUhUJRZ7vXX3+dXbt24eHhQWFhISYmJrz++uucOnWKNWvWGOwZMGAABw4cEKIvaNdsv7qduT/N\nRV2uxs7MjgdDH8TZ0rmlzWrXSJLE5QOX2PPxTvJU8jo3kzr78/7ESQTU4nhVZYSfHyOMjPjvmTON\numa9om9tbc2zzz7bqE7bAlZWVqxfv55ly5aRkZHBhQsXWLFihWHmwdvhkUceYc2aNUybNo3vv/+e\nhx9+mN27d992vxUVFZw+fZq9e/cahHHQoEFotVpOnz7Nxx9/TP/+/Vm8eDGrVq0yrJdQlRuzPCt/\ngBgZGXHmzBkKCgoYN24cERERNSImSUlJDB06tEaf3377bbWhkF69ehl+6Bw4cABPT0/0ej33338/\npqamvPvuu7i6utZ5n6ampgaB7du3b7X3rtL+oqIijh49ysyZMw3HysvLDfc0c+ZMFArFTdsNGTKE\nBQsWMGvWLMMPCUmSarxHnp6etQ7jCATtAZ1exyt/vcKqw6sACHAI4L6Q+zA3Nm9hy9o3qZdT2b3m\ndxKvpAMQ7GDHR5OmMLpz52a9br2iP2zYMJYtW8aUKVMM4X1ofSV7t8LkyZMJDQ1l+/btnDx5knff\nfZdXXnmlWptb8cojIyPZs2cPADNmzODRRx9tEnt9fHxwdnbGwsICCwsLhg8fzrlz5xg6dCje3t4G\nL3zGjBmsWrWqxvleXl4kJycbXqekpBiGHiqxs7Nj4sSJnDx5stZhkhsFUavV8vPPP3P69Ola265c\nuZItW7awaNEi3nnnHeLj41mzZg1vvPFGnfdZuYQzyBEZrVZreF3599Dr9djb2xuSEW+kMspxs3af\nfvopkZGR/P777/Tt27fOREK9Xt9qo1sCwe2Qrclm5vcz2Z+4HwUKRviNYFinYeLz3ozkpuby16d/\ncvFwNAAOpiasuOcenuw/AOM7MNttvVc4ffo0x44d46WXXuLf//63YWsItWW35+bmMmbMGIKCghg7\ndiz5+fmGY2+99RaBgYEEBweza9cuw/5Tp07Rs2dPAgMDee655xpzf3Wi0WhITExEkiSsra3p1q1b\njWWEa/P6goOD6+07ICCA/fv3A/DXX38RFFR9Eovaairnz59vyPKvq+3UqVM5dOgQOp2O4uJijh8/\nTrdu3XBzc8PHx4foaPlDtGfPHrp3716jrylTpvDll18CcOzYMezt7XFzc0OlUhn+DiUlJezevduQ\niV8VX19fMjIyqu3bs2cP3bp1w9PTs0b7L7/8kokTJ+Lg4EBxcbEhWa+4uLhG24ZgY2NDYWEhALa2\ntvj7+xuSGSVJ4ty5czXOuVm7uLg4BgwYwH//+19cXFxISUnB1tYWtVpdrY/09PQaSZUCQVvneMpx\nev2vF/sT92NubM7cnnMZ7jtcCH4zocnX8McHv7F2/sdcPByNmVLJksGDuPb8v3hm4KA7IvjQAE//\n888/p/MN4YZr1641qPOFCxeyaNEi5s+fb9i3atUqxowZw5IlS1i9ejWrVq1i1apVXLp0ia1bt3Lp\n0iVSU1MZPXo0MTExKBQKnnrqKTZs2MCAAQOYMGECO3fuZPz48Y281epUVFTw5JNPkpOTg0qlwtfX\n17CS4IkTJ5g+fTp5eXn89ttvhIeHc/78eVQqVbU+Zs+ezf79+8nJycHHx4cVK1awcOFC1q1bxz//\n+U/KysqwsLBg3bp1hnP8/PxQq9WUl5fzyy+/sHv3boKDgzl//rzB616zZg1vv/02mZmZhIaGMnHi\nRNatW0dwcDDjx48nNDQUpVLJY489Zhh7/+ijj5g7dy7l5eV06dKFL774AoDPPvsMgCeeeIIJEyaw\nY8cOAgICsLKyMrRJT09nwYIF6PV69Ho98+bNY9SoUTXes6FDh/Lxxx9X27d161Zmz55do21xcTGb\nNm0yhOb/9a9/MWHCBMzMzAzvc11U/dKpmtX/wAMP8Nhjj/HRRx/xww8/8PXXX/PUU0/xxhtvUFFR\nwezZswkNDa3RR13tlixZQkxMDJIkMXr0aEJDQ/Hx8WHVqlWEhYUZEvkiIyOZPHnyTW0WCNoKkiTx\nyYlPeP7P59HqtbhbuzO7x2xszWxb2rR2SUVpBce+P8Lhrw9RVqZFAczrHsLKMWPxqSXhurmpd0a+\nPn361Ajd3iwUeiMJCQlMnjyZ8+fPA7KnvH//ftzc3MjIyGDEiBFcuXKFt956C6VSydKlSwEYP348\n4eHh+Pr6cs899xjqs7ds2UJERIShFMxwI7c4I19iYiIRERGGrPab8fvvvxMfH88zzzzT6OvcjMLC\nQh577DG2bt3apP02NZIk0adPH44fP46pqWlLm3NH0Ov19OnTh5MnT9aoWhAI2hp5JXnM/2U+v0X/\nBkA/j36MDxiPkdKohS1rf+h1es7sPMP+9XsoLJAn1xnr68Pb904k1M2taS6SnNx0M/JdvnyZS5cu\nkZ+fz08//YQkSSgUCgoLCyktLb1lGytLxADc3NwMtfFpaWkMGjTI0M7b25vU1FRMTEwMJWogj0un\npqbe8vVvh+bK3ra1tW31gg/yD6vHHnuMr7/+moULF7a0OXeE3377jRkzZgjBF7R5DicdZtb3s0gr\nSsNEacKUoCn0cOvR0ma1OyS9xMV9F9j/f3tQZcjDkb2cHXn33omMauYkvYZQ5zdZdHQ027dvp6Cg\ngO3btxv229jYsH79+ia5eEMmZGkMVUv2Glqv7+vr2yAvXyDz9NNPt7QJd5QpU6YwZcqUljZDILhl\ndHodbx58k/D94eglPW5Wbtzf/X4cLBxa2rR2hSRJRB+JZt9nf5KZLE9o52djxRujxjA7NBRlE2ld\nREICEZXzw/w9H0xjqFP0p06dytSpUzl69CiDBw++VftqUBnWd3d3Jz093VC6VVtmube3N15eXqSk\npFTbf2PGeSWNqdMXCASC9k6aOo0HfniAg0kHARjkNYjRnUeLcH4TIkkS8afj+evTP0mNywLA09KC\n5SPvYWFYGCZGTftej/DzY4Sfn/wiObnRdfr1pgv+9NNPFBYWUlFRwahRo3B2dmbz5s23Yisge06V\nM8dt2rSJf/zjH4b9W7Zsoby8nPj4eGJiYhgwYADu7u7Y2tpy/PhxJEli8+bNhnMEAoFAUDvbr26n\nx9oeHEw6iIWxBXN6zGFcwDgh+E1I0vkkNj3zf2x+YTOpcVk4m5ny/tgxxD3/Lx7v16/JBb8pqHeg\ncteuXbz99tv8/PPP+Pn58dNPPzFs2DDmzZtXb+eV2e0qlcqQ3f7iiy8ya9YsNmzYgJ+fH9999x0A\nISEhzJo1i5CQEIyNjVm7dq0h9L927VoeeughSkpKmDBhwm1n7gsEAkF7RV2m5tmdz7LxzEYAfO18\nmREyQyyW04QkX0jmwIY9xJ5JAsDOxJj/DBnCc4PvwrqVJznXm73fvXt3Ll68yCOPPMKMGTO49957\n6dWrF2dvYc7f5uRWs/cFAoGgvXAo6RCzf5xNSmEKSoWSUf6jGOw9WNTeNxEJZxI4sGEv8RfkIWcr\nYyMWDxzEC0OHYm/eAjMYNmX2fiWTJ08mODgYc3NzPv30U7KysjBviZsTCAQCQa2Uact4+a+Xee/o\ne0hIOFs6MzNkJq5WdU93LWgYlWP2BzbsIfGyPGWujbExiwb0519DhuJ0m0vd3mnq9fRBnkXPzs4O\nIyMjNBoNarUad3f3O2FfgxGevkAg6IicyzzHAz88wGXVZRQoGOwzmHv87hFj97eJJEnEnYhj///t\nISVGLi23MzFm8aDBLL7rrpbx7G+kOTx9jUbDJ598QlJSEuvXryctLY2rV68yadKk27JVIBAIBLdO\nha6ClQdXsvLgSrR6LbZmtszoNgMfO5/6TxbUiSRJRB+N5sCGPaRdk2dhdTA14V+D7+LZwYPrXOq2\nrVCv6C9cuJC+ffty5MgRQF5xbMaMGUL0BQKBoIU4lXaKeT/P47JKnqk0zD2M8QHjMTVq3UlkrRmd\nVsf5Pec4+tUBslLltUiczExZMnQoTw8Y2OoT9BpKvaIfFxfHd999x5YtWwB5SdrWSnh4eIMn5REI\nBIK2RklFCa9FvMZ7R99DL+mxNbPlH13/gb+Df0ub1mYpLynn1LaTHN96mII8eTEwdwtz/jN0KE/2\nH4BllVU/WxMRCQlE3EJCfb2ib2ZmRklJieF1XFxctSV2WxNich6BQNBeOZR0iPk/zyc+Px6AAZ4D\nGNV5lPDubxFNnobjPxzl5M+RlJRUABBkZ8vS4XfzYK9emLbCGvuqjPDzY4SRUaMn56lX9MPDwxk/\nfjwpKSnMmTOHw4cPs3Hjxlu1UyAQCASNoKC0gKV7lrLu1DokJBzNHZnWbRrett71nyyoQW5qLke/\nOciZXefQavUADHJ35cXhI5gcHNxk0+W2VhqUva9SqTh27BgAAwcOxMXFpdkNaywie18gELQnJEni\n2wvf8tzO51AVq1Cg4C6fuxjhNwJjpVgAqjFIkkTyhWSOf3uQy8diqZSKif5+LBsxkiGdOrWofbdM\nc9Xpz549m6lTp7bq8XyBQCBoL8TkxPDY9sfYn7gfAA9rD6Z2nYqbdRMtydpB0FXouLjvAse3HCIt\nXs7EN1EomN0jhKXD7yakFTqwzU29nn5ERARbt25lx44d9O/fnwceeIBJkya1ugl6hKcvEAjaOqXa\nUlYeWMnqw6up0FdgZmTG2M5jCfMIE7PqNQJNvoaTv57g1E/HURfKS8E7mprwRL9+/HPgILxsbVvY\nwibiFjz9BoX3AbRaLfv27WP9+vXs3LmTwsLCW7azORCiLxAI2jJ/xPzBU78/RWJBIgA9XHswvst4\nrExFhLWhZF7L5PjWw5z/66JhvL6bgx3PDxnGg6GhWLTSTPxbpjnC+wAlJSVs27aN7777jtOnT4v1\n5wUCgaCJiM6J5pkdz7D72m4AHC0cmRI0BV973xa2rG2g1+m5euQqJ7YeIv5immH/vX6+/HvYcO7x\n9xdRkirUK/qzZs3i+PHjjB8/nmeeeYbhw4dj1EpLGUSdvkAgaCsUlBYQvj+cj45/hE7SYaI0Ybjv\ncAZ7DxZT6DYAtUrNqe0nidp2gsJ8uazc0siIh3qFsviuIQQ6ObWwhc3Lrdbp1xve37lzJ2PGjGm1\nQl+JCO8LBIK2gE6vY0PUBl7c8yJ5pXkAhLqGMqbLGLH8bT1IkkRCVAInfjzK1aOx6P/+zg+wteHp\nQYNZGBbWOubEv1M0R3h//PjxHDlyhPj4eLRaLSAL7Pz582/dUIFAIOiAHEw8yNO/P82F7AsAeNp4\nMilwEh42Hi1sWeumtKiUM39EceqnY6gy5HwyI4WCqQGdefauoYz08xMh/AZSr+g/+OCDXLt2jd69\ne1fz9oXoCwQCQcO4nH2ZF3a9wI7YHQBYm1gzrss4urt2F2JVB5IkkXIxhdPbIrkYcYmKCjkxz93C\nnMf79ePxfv3bTxb+HaRe0T916hSXLl0SH0yBQCBoJKmFqbyy7xW+PPslekmPsdKYwd6DGdZpGCZG\n7SyTvInQ5Gk4++cZzmw7QXZ6gWH/CG9PFt01lMlBQZi08uHm1ky9ot+jRw/S09Px9PS8E/YIBAJB\nm6egtIA3D77Jh8c/pExXhgIFYe5h3ON/jxi3rwW9Tk/cyThO/xJJdGQcer08Ru1sZsZDYb15tG8/\nujo7t7CV7YN6RT87O5uQkBAGDBhgWGhHoVCwbdu2ZjdOIBAI2hJl2jI+OfEJK/avoKBM9lKDHIMY\n22UsTpbtO5v8VshLzyPq91Oc/f20IQNfCYz368QTAwczMTBQePVNTIMW3BEIBAJB3ZTryvki6gvC\n94eTUZQBgJeNF+MDxouFcW6gvKScywcucXb7SeIvphr2+9lY8Wjffizs0xdPG5sWtLB9U6/ot6Wa\nd1GnLxAI7iQVugo2nd3E8ojlpKnliWGcLJwY03kMQU5BIhfqb/Q6PfGn4zm34xSXD0dTUaEDwEyp\nZHrXIB4fMJDhvr7tfoW7pqTJ6/Stra3r/MAqFAoxDa9AIOiwaPVaNp/dzPKI5SQXJgPgYO7APf73\n0N1FZORXkhGbwdmdUVzcfc4wBz7IS9ku6NOPB3r27Fh19U1NU9bpFxUVNYlNAoFA0F7Q6rV8c/4b\nXtv3mmGOfHsze1nsXbujVChb2MKWpzC7kPO7z3H+j9NkpuQZ9vvbWDO/dxjzw8Lo7ODQghZ2bMSi\nzAKBQFAPpdpSNp7ZyJsH3zR49nZmdoz0G0lPt54dXuyLC4q5fOASF/88Q8LFVCr9TgdTE2aFhPBQ\n334M9PISEZBWgBB9gUAgqAN1mZpPT37K20feRlUsr8dua2bLCN8R9HLv1aHFvrSolCuHrnBxVxTX\nziYbyuxMlQru7ezPQ337MyEwEFORfd+qEKIvEAgEN6AqVvHBsQ9Yc3wN6nI1AM4WztztezchriEd\nVuzLS8q5euQqF/88Q+zpeHQ6WeiNFAru8fFiTu8+TO/WDQcLixa2VFAXQvQFAoHgb+Lz4nn36Lts\niNpAqVZOPPO08WSE7wgCHAM6ZHi6orSCmOMxXNx1hpgTcYbpcBXAME935vTuw30hIbhYWbWsoYIG\nIURfIBB0aCRJ4kjyEf7f4f/HbzG/oZdkUfO392eE3wg62XVqYQvvPKVFpUQfjebynrPERSUYhB5g\noJsLc3r3YWb37niIevo2R7sSfVGnLxAIGkqFroIfL//I6sOrOZNxBgClQkl3l+4M7TQUd2v3Frbw\nzlKUW8SVg5e58td54i+kGMboAfq6OHN/r97c36MHnezsWtBKQSVNXqff1hB1+gKBoCHkl+az7tQ6\n3j/2vmH2PDMjM/p59mOg10BszDqO95qXnsflA5e58tc5UqIzDVn3RgoFd3m4MTO0N9O6dcNbrGbX\nOmnKOn2BQCBoT5xOP82a42vYcmELZboyAOzN7RniPYRe7r06xKp3kiSRHp1O9JErXN13gYzk63X0\nZkolIzt5M7NnL6YEB+NsadmClgqaixYTfT8/P2xtbTEyMsLExITIyEhyc3O5//77SUxMxM/Pj+++\n+w57e3sA3nrrLT7//HOMjIxYs2YNY8eObSnTBQJBG6GkooTvLn7Hh8c/JCojyrC/k10nhvoM7RDJ\neeUl5cSfjif64CVijkWjLrg+M56VsRH3dvZnZmhv7g0IwObvRdUEbYRbiG63WHjf39+fU6dO4ejo\naNi3ZMkSnJ2dWbJkCatXryYvL49Vq1Zx6dIl5syZw4kTJ0hNTWX06NFER0ejVF4vmxHhfYFAhbfd\ncgAAIABJREFUUElcbhyfnPiEz6M+N6x2Z2pkSm+33gzwGtDuV7wryCwg+uhVovdfJOFCClrt9UQ8\nDwtzJgYFMTWkO6M7d8bcWAR82wRlZZCZKW9paZCeDjk5KLTathPev9HQbdu2sX//fgAWLFjAiBEj\nWLVqFb/++iuzZ8/GxMQEPz8/AgICiIyMZNCgQdU7DA+H//635oWWL5eP3YhoL9qL9u2u/aapfjwU\nlmB47WLpwiDvQTz3Rx6jXj0ERFZrH7HgbiIeGlGjnxEbIxixaX+N/a2x/V/zhpN6JZXow1eIOXiZ\nzJQ8lgO/12gNUv8BKEaOrHkgIgL21+yfu++G2pKjRfs7097BAbRaUKtrHrsFWszT79y5M3Z2dhgZ\nGfHEE0/w2GOP4eDgQF6ePMYkSRKOjo7k5eWxaNEiBg0axNy5cwF49NFHuffee7nvvvuu34jw9AWC\nDsm5zHOsP72ezWc3G7x6I4UR3Vy6MchrEF62Xi1sYfNQmF1IbGQscYcvE38mkZKSCsMxK2MjRvl2\nYmpIDyYEBeFubd2ClgrqpLgYsrLkLSND3rKzZZG/ERMTCAiAsDDo2xd694bQUBQuLm3D0z98+DAe\nHh5kZ2czZswYgoODqx1XKBQ3HWtr7+NwAoGgbvJL8/n63Nd8duozzmedN+x3snCin2c/Qt1CsTRp\nX4loFWUVJJ5NJPZ4NNeORpOdXlDtuL+NNROCgpjSLYS7fX0xE2H71kN5uSzmWVlyeD49HVQqWfRr\nw9kZuneHfv2gTx/o1QuCgmThv01a7FPh4eEBgIuLC9OmTSMyMhI3NzcyMjJwd3cnPT0dV1dXALy8\nvEhOTjacm5KSgpdXzV/v4VVCgKJeXyBoX+j0Ov6K/4v1p9fz69VfKdeVA/JYfQ+XHvT17IuHtUe7\ncQgkSSI7IZvYyFiuHblM4qW0amPzVsZG3O3jzYTgEMYHBNClSn6UoIXQ6SAn57q4Z2TIz+tait7C\nQhbz0FDZg+/ZUxZ4F5c6LxEREUFERMQtm9gi4f3i4mJ0Oh02NjZoNBrGjh3L8uXL2bNnD05OTixd\nupRVq1aRn59fLZEvMjLSkMgXGxtb7Z/7VsP7CQkJRERE8NBDDxn2bdy4kf/85z94e3sDsGjRIh5+\n+GESExOZPn06er2e8vJyHn/8cZ577jkAPv74Yz744AOuXbuGSqWqlqBYSWlpKQsXLuTixYtotVrm\nz5/Piy++CMAXX3zBe++9h1KpxNPTk6+++gonJyfee+89NmzYgLGxMS4uLnz++ed06lRzhrDy8nKe\neeYZ9u/fj1KpZOXKlUyfPp2ysjLmz5/P6dOncXJyYuvWrfj6+tY4v6ysjLFjxxIREWF4XwsLCwkJ\nCWHatGl89NFHAMydO5cLFy4wadIkVq5cCcAbb7xBz549mTp1ao1+IyIiePfdd9m+fXudf4OCggK+\n+eYbnnrqqTrbNAUffPABTzzxBBZ/zws+atQofvnlF2zErGKtFkmSOJV+ii/Pfsm3579FVaIyHOtk\n24l+nv0Idg5uN+V2+Rn5xEfFE388moQzCdUy7QF6OTkwPqgr9wZ1ZbCPj1jMpqXQ6yE3V/bWs7Jk\nzz0rC/Lyas+oNzYGf3/o0eO6596jB/j6gvL21nForPa1iKefmZnJtGnTANBqtcydO5exY8fSr18/\nZs2axYYNGwwlewAhISHMmjWLkJAQjI2NWbt2bZP8mv/000/56KOPKCoqYtOmTWzZsgU3NzcUCgWz\nZ89mzZo11dp7enpy7NgxTExM0Gg0dO/enfvuuw9vb2+GDh3K5MmTbxpd2LJlCwDnzp2jpKSEkJAQ\n5syZg7u7Oy+88AIxMTE4OjqydOlSPv74Y5YvX06fPn14+umnMTc353//+x9Lliwx9FOVlStX4u7u\nztWrVwHIyckBYMOGDTg5ORETE8PWrVtZunRpred//fXXTJo0qdr7+uqrr3L33Xcb9p07dw5LS0vO\nnj3L2LFjUavVFBUVERkZySuvvNK4N78KeXl5rF27tlGiX/khb8zn4MMPP2TevHkG0X/ggQdYv349\n//rXvxpnsKDZicuNY/O5zXx59kvi8+MN+23NbOnl1os+Hn2wN7dvQQubhqLcIlnkT8SScCqOPJWm\n2nEXczPG+PszIbgbY7p0wVXMb39n0WplYa8U96wsOUyfny8L/40oFODjAyEh1cW9iULzTUGLiL6/\nvz9nzpypsd/R0ZE9e/bUes5LL73ESy+91GQ2qNVqwsPD+fPPPzl79iwjR47E6u9/KEmSav3lZFLl\nj1ZSUoKJiQmWf09g0bt373qv6eHhgUajQafTodFoMDU1xdbWFmNjYxwcHCgqKsLBwYHCwkICAwMB\nqv2IGDhwIF999VWtfX/xxRcGwQdwcpJLkrZt28Z//85wvu+++3jmmWdqPf/bb7/lk08+Mbw+deoU\nWVlZjB8/npMnTwJgampKSUkJer2eiooKlEolr732GitWrKj33kEefklKSiI+Pp6kpCQWL17MokWL\nePHFF4mLiyMsLIyxY8eyevVq3n77bb7//nvKysqYNm0a4eHhJCQkMG7cOAYNGsSpU6fYsWMHW7du\nrdFOo9Ewa9YsUlNT0el0vPrqq2RmZpKWlsbIkSNxcXFh7969TJ48mSlTpgjRbyVkFGXw/cXv+eLM\nF9Vq6s2Nzenu0p3e7r3xsmnba7KXFJaQcDZBFvmTcTXG5e1MjBnm482YwK6M6tyZEBeXNn2/bYay\nMlnMK8U9M1N+rlbXXQvv4QFdu8qh+d695dB8t27Qyn+YddhMD6VSiUKhMHjEVUPmCoWCH3/8kf37\n99O1a1fef/99Q6g/JSWFCRMmEBsbyzvvvFNrGL8uxo0bx+bNm/Hw8KC4uJgPPvjAMPnQhx9+SI8e\nPbC2tiYoKKiaAFeyYcMGJkyYUGN/fn4+AK+88goRERF06dKFjz/+GFdXV1JTU/Hx8QHA2NgYOzs7\ncnNzq9mt0+m4cOECQUFBAOj1el544QW+/vprdu/ebWgXHByMi4sLffv2Zf78+cTExCBJUoN+8FQS\nHR3Nvn37KCwspGvXrjz99NOsXr2aixcvEhUlf9Hv2rWL2NhYIiMj0ev1TJ06lYMHD+Lj40NsbCyb\nN29mwIABdbbLzs7Gy8uL33+XC5bUajU2Nja89957REREGO7d3d0dlUqFRqMx/OAT3FlSC1P58fKP\nfHP+GyJTI5H+ngjWWGlMkFMQYe5hdHbo3GaXstXkaUg8l0hS1DWSTl8jIzmPqhJiYWTEEE93xgR1\nZVTnLvR2d8foNsO9gjqQJDlxTqWqnlSXkwMaTe3nKJXQqZMs5qGh14W9a1dooxURHVb0raysWL9+\nPcuWLSMjI4MLFy6wYsUKLCwsmDx5MnPmzMHExIR169axYMEC9u7dC4C3tzfnzp0jPT2du+++m7Fj\nxxIQENCga3711VeUlJSQnp5Obm4uw4YNY/To0Tg6OvLss89y9uxZ/P39WbRoEW+99RYvv/xytXNP\nnz7N+++/X6NfrVZLSkoKQ4YM4d133+X999/nhRde4Msvv2yQXSqVqtq49tq1a5kwYQKenp41Ih5V\nrz9lyhTWrVvHypUrOXfuHGPGjOHRRx+t8zoKhYKJEydiYmKCk5MTrq6uZGZm1rjGrl272LVrF2Fh\nYQBoNBpiY2Px8fHB19eXAQMG3LTd0KFD+fe//82LL77IpEmTGDp0aJ02ubm5kZycXKN6RNB8JBUk\n8cOlH/j2/LecTD9p2K9UKPG396e3W2+6OnfF1Mi0Ba1sPJIkkZ+RT9K5JBKjrpF0Jp6czOq11aZK\nBQPd3RgdGMSozl3o7+UlxuWbmvJyebw9J+e6wKtU8nh7eXnt55iYyGPuISFySL57d/l5QAC0s1kK\nO6zoA0yePJnQ0FC2b9/OyZMneffdd3nllVeqecGPPPIIS5YsqXGuh4cHw4YN48yZMw0W/SNHjjBt\n2jSMjIxwcXFhyJAhnDhxAl9fX/z9/fH39wdg5syZrF692nDenj17ePPNNzlw4EC1IYZKnJycsLS0\nZPr06QDMmDGDDRs2AHLlQ1JSEp6enmi1WgoKCmqNTlQV3mPHjnHw4EHWrl1LUVER5eXl2NjY8Oab\nbxra/Prrr/Tr1w+1Ws21a9fYunUr48ePZ+7cuYYx89owNb3+RW5kZIS2tnpUYNmyZTz++OPV9iUk\nJNTwyGtrBxAVFcXvv//OK6+8wqhRo3j11VdrvY4kSSJ8ege4lneNHy/9yLcXvq0WulcqlHS270xP\nt550deqKmXHb+YKV9BLZidkknksk8VQsyeeTKcwvqdbGwsiIAe6ujOwSyHA/PwZ6e2PZSsZ22zR6\nPRQUyGKek3Nd2G/mtYMceu/SRRb1Xr1kYQ8JAT8/6CA/vjqs6Gs0GlQqFZIkYW1tTbdu3QwTA6Wn\npxtKCrdt20ZISAgAqampODo6YmFhQV5eHocPH2bp0qU1+q4qoJGRkXzyySds2rSJ4OBg/vrrLx58\n8EE0Gg3Hjh3j+eefx83NjStXrqBSqXB2dmb37t2Ga0ZFRfHkk0/y559/4uzsXOu9KBQKJk+ezL59\n+xg5ciR79+6le/fugOyNb9q0iUGDBvHDDz8watSoGuc7OztTVFRkeF01b2DTpk2cPHmymuBXVFTw\n4YcfsmPHDqKjow2iqdPpqKioqFP068owtbGxQV1ltqlx48bx6quvMnfuXKysrEhNTa32Y6G+dlqt\nFgcHB+bOnYudnR2ff/654TqFhYXVfvRkZmYahm4ETYde0hOZGskvV37hp8s/EZMbYzhmpDCii0MX\nerr2JNApsM0IfZmmjNQrqaRcSCblzDVSotMpKa6o1sbB1ITBnp6MDJBFPszdHZMOIiZNTmU4Pifn\nuteelSU/LyioPZEO5Ex5Hx85ea7SYw8KkkPyLi5ysl0Hpl2Jfnh4eIPr8ysqKnjyySfJyclBpVLh\n6+vLN998A8BHH33Etm3bMDY2xsnJiY0bNwJw+fJl/v3vfxsmDnrppZcM4+Br1qzh7bffJjMzk9DQ\nUCZOnMi6detISkoyJPs98cQTPPLII/Ts2RO9Xs/DDz9Mjx49AHjzzTcZOXIkSqUSPz8/wzWXLFmC\nRqNhxowZAPj6+vLLL78AEBYWZhgHX716NfPmzWPx4sW4urryxRdfAHKkYt68eQQGBuLk5FRr5r6R\nkRE9evTg6tWrdO3atcbxGz3htWvX8tBDD2Fubk5oaCjFxcWGe7a9YQnOqpMs1TXhkpOTE0OGDKFn\nz55MmDCB1atXc/nyZQYPHgzIYv3VV1/VOH/MmDE12m3evJnY2Fj+85//oFQqMTEx4X//+x8Ajz/+\nOOPHj8fLy4u9e/eSkZGBk5OTGM9vIjTlGnZf283PV37mt+jfyC3JNRwzUZrIQu/WkwDHgFYfupf0\nEjkpOSRfTCblbAKpF5LISs3nxp+tnpYWDPHxlj15X1+6ubig7OCi0igkCYqK5HB85VbpsRcU1B2O\nB3B1hc6dZVHv3h2Cg2Vx9/OThb+dc6v1+i02DW9Tc6t1+omJiURERLBgwYJmsEoW7fnz5xvEvbWy\nceNGMjMza41ctFfWrVuHRqPh+eefb2lT2ixJBUnsiNnBj5d+5EDiAcr117+kbUxtCHIKIsQlBF87\nX4yUrdfjLS0qJfVyKskXkkg9G09qdEa1aW0BTBQKejo7clcnX4b4+TPI2xtfOzsxPFQfer08Oc2N\nwp6bKwt7HUN8AFhaysLetatc+hYcLD8PDGyziXRNTWO1T4h+M4t+W6G8vJzRo0ezf//+DvMlNmrU\nKH799VesxZdHgympKGF/4n52xOxgR8wO4vLiqh13s3IjxCWErk5dcbVybZWfpYrSCjJiM0i9kkr6\nxSTSr6Siyiis4cW7W5gz0NODof5dGOzjQx8PDyzEeHzt6HRy7XqlqFeG5HNzZcGvKxQPYGcnT1IT\nEHA9FN+li/xahOPrRYi+QCBoMiRJ4lL2JXbG7uS36N84knykmjdvojTB186Xbi7dCHIKwtq0df2A\n0pZrybyWSdrVNNIuJpN+OYXstHz0+urfFaZKBb2cnbirky93+fkz2Nsbb1vbVvmjpUWoDMPn5cni\nnpcni3rla43m5mu7OzvLwh4UJJe8VQp7ly7yKnKCW6ZNzMgnEAhaL2nqNPbF7+PPuD/ZFbeLTE1m\nteMuli4EOgUS5BiEt613qwnb6yp0ZCVkkR6dTtrFJNIvpZCZkotOV/0L0UihoLuDHf28vBjg40t/\nLy9C3dzEAjUlJdcFvdJrz8mRn6vVsjdfFwqFPFmNv/91YQ8MlEW9c2cRim9FdPBPuUAgyNJkEZEQ\nwZ5re9h9bTcJ+QnVjpsbm9PFoQtBTkF0ceiClWnLJz6WqEvIjMskIzaDjMspZEankZ2eX0PgFUCQ\nnQ19PT0Z2MmP/l5e9HZ375hlcxUVNUU9N1d+XVh486Q5kMPwPj7XhT0gQH7u7y978e2snr29IkRf\nIOhg5JXksT9xP7vjdrMnfg/ROdHVjhsrjfG29SbAIYDODp1xt3ZvsTC3JEkUZBbI4h6dTsaVZDLj\nMsnPrbkkqQLobGNNHw8PBnaSPfg+Hh7YdAQxkiTZUy8okAW98rEyWU6tlo/fDHNz8PaWs98DA+Wt\nc+frwi4WpmoXCNEXCNo5SQVJHEo6RERCBAcSDxCdE22Y7hbkunlPG08CHGWR97D2aJGQfVlxGdkJ\n2WTFZ5EVk0bG1VQyE1SUltbM7jZXKglxdCDM04M+Xj6EeXjQ080N61rmc2gX6HSycFcV9UqPvVLU\nb5YFD3IZm6en7JV36SJ761VF3dlZJM11ANqV6DemTl8gaI/o9DrOZ503iPyhpEM1xuSVCiWe1p50\ncexCZ/vOeNl6Yay8c18F2nItqiSVLO7XMsmOTiUrUUV+Tu0zqTmZmdLLxZk+3j708ZTD84FOThi3\nlznqJQlKS+UQe2GhLORVw/CFhfIkNfUla1lby6LeqZMs4l26yF57p07y5u7eYWad6wiIOn2RvS/o\ngOQU53Ai7QRHk4+yP3E/J9JOUFxRPfRtamSKl40X/vb++Nr74mnjeUdEXq/Tk5uaK4t7XCbZMalk\nJWSTm6WukT0PcgZ9oJ0d3V1d6eXpRZiHB73d3XG3tm67WfRVw+6Vol4p7JX7NJr6vXSFQi5f8/K6\n7ql37iw/rxR1O7s7c0+CVoXI3hcI2iml2lKi0qOITI3kcPJhjqceJ6kgqUY7G1MbfOx88Lfzp5N9\nJ1wsm3d51rLiMnKSc8hOzEaVmE1OXDqqpBxyswprJNYBKIEuttZ0d3Ym1NOLUHcPeri6EuDo2Lam\nrJUkWbCrinnV8LtaLR+/WdZ7JVZWsifu5SV75wEBsqBXirq3d6tZj13QthGiLxC0QnR6HdE50USm\nRnIk+QhHUo5wOfsyOqm6gBgpjHC1csXHzodOtp3oZNcJG7OmT7iSJAm1So0qSSVv8ZmormWSk5JL\nYUHdCWLeVpaEODsR6uFpEPdgZ+fWP8lNWZlcl65WX98qRb2w8Lqg32zSmUpsbK4LemXovVLIfXzk\n/TdMXy0QNBdC9AWCFqZMW8aFrAtEZURxMu0kJ9JOcCn7EqXa0hptHc0d8bL1opNtJ7ztvHGxdGnS\npLsSdQm5KbnkpuaSk6wiLyFTFvm0fMrLa/dYzZRKutjZ0NXJiRA3D0Lc3Ah2dibIyan1JdaVl8uC\nXVXQq3rqRUWymFdU1N8XgL39dUH39ZUF3cdHFvTKTaztIGhFCNEXCO4ghWWFnMk4I4fp0yI5nXaa\nmNyYGh48gJWJFZ42nnSy64S3rTce1h5NsiJdSWGJLOopOeSm5pCbkEVecg45Gfk1Vo2ripOZKYH2\n9nRzdSHEzYNuLi4EOzvjZ2+PUUsn1VVUVPfKi4que+aV+xoj5qam8oIu7u7Xk+O8vWVxrxRzLy+4\nyTLSAkFrRIi+QNAMVOgqiM6J5nzWec5lniMqI4oLWRdIKUyptb29uT3uVu6yuNt44G7tjqWJ5S1d\nW9JLFOUWkZeeR35GPrnJOeQmZsqPmQU3FXZLIyM629oQ4ORIkIsbQc7OdHV2JtjZGWfLW7PnltFq\nZaEuKqq+VRV2jUbObG+omJuYyGLu6npdwH195eceHrLAe3rKSXFtNXlQILgJQvQFgttAL+lJyE/g\nQtYFzmeeJyojivOZ57mWfw2tvmZGtlKhxMnCCQ9rD7xsvfCw9sDN2q1RS81KkkSputQg6nnpeeSn\n5JCfoiI/I5/8HA1abd1jzQZhd3QgyNWNri6uBDo6EuDo2PyZ8jrddSGvKuiVYfbKfcXF9c8QVxUT\nE7nOvNIz9/aWvXMvL/l1paA7OAgxF3Ro2pXoizp9QXNRpi0jNjeWqzlXuZx9mfNZ57mcfZmY3BhK\ntLUnstma2eJi6YK7tTvu1u64WrniZOHUoDH4suIyCjILDKKel5pDQbIs6nnZaspqmbCmKo6mJvja\n2uDn4ECQiytBzi7NI+ySJCe9FRfLgl3peVeKeqVHXinkZWUN79vICBwd5VI1NzdZuL29ZfF2d5f3\nVT7a2wsxF3QoRJ2+qNMX3CaSJJFdnM1V1VWuqK5wSXWJC1kXuKq6Sqo6Fb1Uu/dsaWKJs6Uz7lbu\nuNu442rpiouVS53eu06rQ61SU5BVQEFmAYXZhRSk5VKQliM/z9FQWnLzcLWlkRG+Nlb42dnT2dmJ\nLk4udHZwwN/BAX97+1ufelaSZA+7UsArRbzyeeXYuEYj15+XlDQsg70SpVL2tp2dr4t2pZB7eFQX\nckdHub1AIKgTsbSuQHATKoU9LjeOuLw4YnNjuaK6wtWcq1zLu0ZhWWGt5ylQYGNmg5OFE65Wsqg7\nWzjjYuVSbexdkiSKC4qvi3lmAQUZeRSm5VKQmU+hqgh1YUm9k6uZK5V4WlniZ29HZ0dHWdQdHfG3\nt8ffwQEnC4uGeet6vTzbW3GxLNBVBbyqiBcXX2/TGBEHOZnN0RGcnGSv3N1d3jw8qr92c5PFvi3V\n4gsErRwh+oIOj06vI7kw2SDsMTkxXMm5QmxuLMkFyWgqap/uFcBUaYq9hT0uli6yuFu64GzpjIOF\nA/oyPWqVmkJVIWqVWt6y8lFn5MnPc4tQF5TUOiFNVRSAu4U5XtZWdLKzx8/RkU4Ojvja29PJzg4f\nW1ucLS1rirpOd124Kx+rbjd64CUljQunV2JhIXvjlSJeGVp3d7+eBOficv1RZLALBC2GEH1Bu0en\n15GmTiOxIJHE/EQS8hOIy4vjWt41EvITSFWn1ppEV4mp0hQ7czscLBxwtnTG3tgeizILTItN0eZr\nUeeoUWcVos7MQ51VIIt5XjFlZfVMlfo3diYmeFtb4WNnK4u6kzOd7OwMm6eNDSZ6feMFvKEZ6jdi\nYyOPeVd64zeKuItLdRG/01n6AoHglhGiL2jzlGpLSS5IriHq8fnxJBckk1GUUWtde1UslBbYam2x\nLrPGsswSk1ITlBol+gItZSoNmrwiinI1aApLKKln/LwSM6USd0sLPKws8bK1xdvWHm8rK7zMzfEy\nNsbTyAhPhQLLioqaQl5aen0rK2vY1Kw3olTKM7c5OFwfF68U68rQuZPT9UcnJ1nojdtVvq5AIKiC\nEH1Bq0WSJPJL80kpTCFVnUpqYSophSkkFiSSVJBEqjqVjKIM8kvza++gAigGNGBaaop5mTmmpaYY\nFxmhUEvoC7RUFJZTUlB201r0GzFSKHA2NcHTwhxPc3O8zczxMjPH28gIT8BLr8dTq8WhrAxFVeG+\nVc8b5BIzO7vrYfSqoXRX1+rCXfnczk4ktgkEgmoI0RfccSRJorCskExNJhlFGWQWZZJelE5yQTIJ\nBQmkFKSQVpRGZlEmZbq/x5gloAzQYBByiq8/Ny4xxqhEiVIDeo2EVqNDV97wBDMl4GxshKuxMe7G\nxrgplXgolLgBHno9blot7hUVuGm1OP3dvtEolfJypnZ2cvjcwUH2rJ2dr2+Ojtf3V320sBAlZgKB\n4Lbp0KvsiTr9pqW4opiMogyDkGcUZZBelE66Op1UdSrpRelka7LJKsqiQlMBJVTfiqs8ryLqCo0C\nqViCm2i4Fi03jqCbAC4KBS4KBc6AuyThLkm4Ae5Q7dEZMNLqQKtD/nVxEywsZOG2s7suypXetYuL\nvK9yf1XhtrUVnrdAIGgRRJ2+8PRviiRJqMvVZGuyURWrUBWryC6Wn2drskkvSiejIIMMVQYqlYrc\nvFzK1GU1hfxvMVcWg6IEpFLQ30KCOIANsji7/L1VfX7ja2fAFjnzvRoKhbygia3t9a2q1+3kJD+3\nt5e3Sq+88rmdnViyVCAQtFk6tKffUdDqteSV5JFXmlftMbMwk5TMFFJVqaRnp6PKVZGXn0dhQSHF\nag0KjYRJMRgVg7IUFKUglYHu7+HpioYlpwPVnXQFYA84Vtmcbnh9o5A7A+YgC66NjbxVivCNol0p\n0rWJtrW18LYFAoGggbQZ0d+5cyeLFy9Gp9Px6KOPsnTp0pY26bbQ6XXkl+aTV5pHbnEu6bnppOWk\nkZmTSVZuFrmqTAqzstDk5FKSV0BpgYZydQlaTQXaEj36ctCWQ0U5lGuhRAsVDfixd7OccSXgQE3B\nvnFzAhzNzHC0ssLR2ho7W1uMKr3syuS0qsJceczGprpHbmMD5ua390YKBAKBoMG0ifC+Tqeja9eu\n7NmzBy8vL/r378+3335Lt27dDG3uVHhfp9dRVF4ke9Z5mWRmpJCdnkxuZjoF2VkU5qgoys2nqKCA\nYnURJWoNpZpSyorLKS/TUl6uo6xColwLZToo0spJ6Y2cA61WjAE7ZK/bvpbndkolDmZm2JmaYm9l\nhb2NDXY2Ntg7OGDv7IytiwtKR8fqQl2bWFtbN2pWtYiIiHafZ9ER7hE6xn2Ke2wfdIR7hHYa3o+M\njCQgIAA/Pz8AHnjgAX799ddqol8bOr2O3PxsslITyM1MIy87nYLsTApzVKjz89DkF6CaJtBCAAAg\nAElEQVQpKKC4qIgSTTGlmhJKSkopLSmjrFxLWbmWcq2eMq1EqV6iVA+leiiR5KHtpsQCeczapspm\npVRgY2yEtYkxdubm2FlY4mRtjaOtHfa2dgaxtnNxwd7ZGUtHRxSVoXJr6+ubjY087t1CY9cd4Z+v\nI9wjdIz7FPfYPugI93grtAnRT01NxcfHx/Da29ub48eP12gXbKKQhVkCjSQnizeFB10XVvwtzgqw\nVsgibWWspBgFvpZmWJuZYWNpgY21NbY2ttjZ2+Pg5IyDkytOzq7YObvwyd69rFy0CGN7++pibVpz\nsZbGfogjIiIYUc8Po9vqu5n+oRrTd3PaLe7x9mgtdneEe7yV9o2htfxt2uI9NnffjaVNZEA1dBnQ\nq1pI1EOmBEXIgm+KPE7tpYAAJfQwhr5mCnyMFYyyNWGiswXTPW15sIsLj/f05blBISwb3Z+V0+7h\ng4emsWHxw8wacRd/ffIOZ777mpT9EaivXEGnUlFUWkq6Xk+sXuKMTuJwhZ5dJVpGL32Zr3OK+Cwt\nh3diU1h+5grPH4zk4e27mLbxG0a8+wE9l71Ep8cewyI4GOMhQ6B7d3n9b0fHWgUfaHR5RmPaN2ff\njaW12C3u8fZoLXZ3hHu8lfbN1be4xzvbd2NpE2P6x44dIzw8nJ07dwLw1ltvoVQqqyXzNdn64AKB\nQCAQtCEaI+NtwtPv168fMTExJCQkUF5eztatW5kyZUqNdpIkNXhbvnx5s7Rtzr5bix2i79Zrh+i7\n9doh+m69drS1vn++/DOEg+XKxi+O1SZE39jYmI8//phx48YREhLC/fffX28SX300ZsykseMrzTUe\n05x2tJZ7bGzfrek9aS12tMV7bGx7cY+33765+hb32Px9rzy4EoAeLj0aZQcAUjuhrd7K8uXLW9qE\nZkfcY/uhI9ynuMf2QXu9x0OJhyTCkcxeN5Pm/Tiv0drXJjz99kxHKCkR99h+6Aj3Ke6xfdBe7/HN\ng28C0M+zHyZGchn2mDFjCAoKYuzYseTn17FK6d+0iUS+hiDm3hcIBAJBe+aK6grdPumGkcKIxYMW\nk1eSx+f/+JzVq1ezZMkSVq9eTV5eHqtWraqzD+HpCwQCgUDQBlh9eDUAPV17Ym1qbdi/YMECw+Mv\nv/xy0z6E6AsEAoFA0MrJKMrg63NfAzC009Bqx9zc3AyPmZmZN+1HiL5AIBAIBK2c94++T4W+gkDH\nQJwsnWpto1Ao6p2zRoi+QCAQCAStGHWZmk9PfgrAcN/hNY5nZGQAkJ6ejqur6037EqIvEAgEAkEr\nZu2JtajL1XjaeOJt613j+KZNmwyP//jHP27aV5tYcEcgEAgEgo5ISUUJbx95G4CRfiNrbbN79242\nbNiAn58f33333U37E6IvEAgEAkErZUPUBnJKcnCxdKGLQ5da2+zZs6fB/YnwvkAgEAgErZAKXYVh\nMp4RviOaZGE5IfoCgUAgELRCNp/bTHpROg7mDnRzub31ZioRoi8QCAQCQStDp9fx/9m78/io6nv/\n46+Zycwkmcm+TPYFAiSsCSCLLIJsWkGluKGiFfXeanftz629Ndr7u8W2tnVrf16rrdUq7gpaAaEE\nEFlkCVvYyZB93yeTZJbz+2NMSCAICTNMZvJ5Ph7nMZMzy/dzPJh3vud8z/f89+b/BuCq1Kvcdvt4\nvwr93Nxc8vLyvF2GEEIIcUk+OPwBhQ2FhOhCGGMac87r5nwze97e0+fvlbn3hRBCiAFEURRG/3k0\nBTUFfCfjO1yReEWv7ytuLOa1G1/rU/b5VU9fCCGE8HWfHf+MgpoCgrXB5MTnuPW7JfSFEEKIAUJR\nFJ7MexKAacnTCFC798p6CX0hhBBigNho3sie8j3oNXomJkx0+/dL6AshhBADRGcvf0rSFHQandu/\nX0JfCCGEGAC2nN7Cl0VfolVrmZI0xSNtSOgLIYQQA8DjGx4HXL38wIBAj7QhoS+EEEJ42SbzJrYW\nb0Wn0XFl8pUea0dCXwghhPAiRVHO9PITPdfLBwl9IYQQwqs2mjeyrWQbOo2OqclTPdqWX4W+TMMr\nhBDClyiKwhMbngDgyqQrL7qXL9PwyjS8QgghfMz6U+uZ98Y89Bo9P5vyM/QB+ov+rEzDK4QQQviI\nHr385Cv7FPj9JaEvhBBCeMEXp77g67Kv0Wv0TE6cfFnalNAXQgghLrPuI/anJU+7LL18kNAXQggh\nLru1J9eyp3wPgQGBTE66PL18GGChX1xczOzZsxk1ahSjR4/m+eefB6Curo558+YxfPhw5s+fT0ND\ng5crFUIIIfrHqTh55ItHAFcv3xNz7J/PgAp9rVbLH//4Rw4dOsT27dt56aWXOHz4MCtWrGDevHkc\nO3aMOXPmsGLFCm+XKoQQQvTL+wXvc6DqAMHa4Mt2Lr/TgAr9uLg4srOzATAajWRlZVFaWsqqVau4\n++67Abj77rv5+OOPvVmmEEII0S82h41H1z8KwOzU2Wg12sva/oAK/e7MZjN79+5l8uTJVFZWYjKZ\nADCZTFRWVnq5OiGEEKLv/pb/N8wNZsL0YeTE51z29gMue4sXoaWlhSVLlvDcc88REhLS4zWVSoVK\nper1c7m5uV3PZ82axaxZszxYpRBCCHHxrDYrv9r4KwDmpM9Bo9b0+TvM+WbM+WYAGtsa+/z5ARf6\nNpuNJUuWsGzZMm688UbA1buvqKggLi6O8vJyYmNje/1s99AXQgghBpIXd75IpaWS6OBoRseO7td3\npGWnkZadBrhm5Mt/J79Pnx9Qh/cVReHee+9l5MiR/PSnP+1af/311/P6668D8Prrr3f9MSCEEEL4\ngoa2Bv57y38DMH/I/PMesfa0AdXT37p1K2+++SZjx44lJ8d1ruM3v/kNjz32GLfccguvvvoqaWlp\nvPvuu16uVAghhLh4z3z5DE3tTSSGJJIRmeG1OgZU6E+fPh2n09nra+vXr7/M1QghhBCXrqKlgj/t\n+BMAC4Yu8FovHwbY4X0hhBDC3zyV9xRt9jaGRgwlOSzZq7VI6AshhBAecqr+FH/d+1cA5g+d7+Vq\nJPSFEEIIj/n5up9jd9oZHTOaWEPvV55dThL6QgghhAdsK97GR0c+QqPSMHfIXG+XA0joCyGEEG6n\nKAo//vzHAExOmkxYYJiXK3KR0BdCCCHc7IPDH7CrfBdBAUHMTJnp7XK6+FXo5+bmkpeX5+0yhBBC\nDGLt9nYeWvsQALPTZqMP0Lu9DXO+mT1v7+nz5wbUdfqXSqbhFUII4W0v7nyR4qZiIgIjmJAwwSNt\npGWnoUnX+PY0vEIIIYQvq7PW8dSmpwDXRDxq1cCK2YFVjRBCCOHDcvNyae5oJiU0heFRw71dzjkk\n9IUQQgg3OFF3gr/s+gsA1w671qvT7Z6PhL4QQgjhBg+vfRi7086Y2DHEGeO8XU6vJPSFEEKIS7TJ\nvIlVx1YNqIl4eiOhL4QQQlwCu9PO9z/7PgDTkqcRqg/1ckXnJ6EvhBBCXIKXd73MkZojGHVGpqdM\n93Y530pCXwghhOin2tZanvj3EwBcm3EtWo3WyxV9Owl9IYQQop+e2PAETe1NpISmkBWd5e1yLsiv\nQl+m4RVCCHG55Ffk89e9f0WFiuuGX3dZL9Hr7zS8KkVRFA/Uc9mpVCr8ZFOEEEIMcIqicOVrV7K9\nZDsTEyZy3bDrLnsNxY3FvHbja33KPr/q6QshhBCXw8qDK9lesp3AgEDmpM/xdjkXTUJfCCGE6ANL\nh4Wfrf0ZAHPT5xIYEOjlii6ehL4QQgjRB/+9+b+ptFQSa4glJz7H2+X0iYS+EEIIcZGO1hzl99t+\nD8DCYQsH3F30LsS3qhVCCCG8RFEU7l99P3annXGmcSSHJXu7pD4L8NQXWywWiouLUalUJCUlYTAY\nPNWUEEII4XH/PPBPthRtQa/RM3/ofG+X0y9uDf3m5mZeeeUVVq5cSU1NDSaTCUVRqKysJCoqijvu\nuIP7778fo9HozmaFEEIIj6q31vOTNT8BYMHQBQRrg71cUf+49fD+jTfeSEhICKtXr+bUqVNs27aN\n7du3U1hYyKefforBYOCGG25wZ5NCCCGExz22/jHqrHUkhCSQHZft7XL6za8m53nyySeZNWsWs2bN\n8nY5Qggh/MTO0p1M+esUAL4/8fvEGmK9XJFrRr592/eR/05+nybncXvoK4rCjh07KC0tBSApKYlJ\nkyZ5fHpCmZFPCCGEu9mddnJezuFg1UGmJk0dUOfy+zMjn1vP6a9bt44HH3yQjIwMkpKSACgpKeH4\n8eP8+c9/ZsGCBe5sTgghhPCoF3e+yMGqgxh1RmalzfJ2OZfMraH/4x//mPXr15OWltZjfWFhIdde\ney1HjhxxZ3NCCCGEx5Q1l/GLf/8CgOuGXYdOo/NyRZfOrQP5HA4HiYmJ56xPTEzEbre7sykhhBDC\nYxRF4T9W/wettlYyIjPIjM70dklu4dae/vLly7niiitYunRp1+H94uJiVq5cyfLly93ZlBBCCOEx\n7xe8z2fHP0Or1rJw2EJvl+M2bh/IV1BQwCeffEJZWRng6uVff/31jBw50p3NnEMG8gkhhHCHOmsd\nw18YTq21lu9kfIcrEq/wdkm98vpAPoCRI0d6POCFEEIIT/nJmp9Qa60lMSSRiQkTvV2OW7n1nH5D\nQwOPPfYYmZmZREREEBkZSWZmJo899hgNDQ3ubEoIIYRwu3Un1/Hm/jfRqDQszlzs8cvNLze3hv4t\nt9xCREQEeXl51NXVUVdXx8aNGwkPD+eWW25xZ1NCCCGEW7V0tLD8E9f4s6tSryIqOMrLFbmfW0Pf\nbDbz6KOPEhcX1/XXUXx8PI899hhms9mdTQkhhBBu9dj6xyhtLiUmOIZpKdO8XY5HuDX0U1NT+e1v\nf0tlZWXXuoqKCp555hlSUlLc2VSvcnNzycvL83g7Qggh/Mu24m38+es/o0LF4szFqFUD+87z5nwz\ne97e0+fPuXX0fl1dHStWrGDVqlVdwW8ymbj++ut57LHHiIyMdFdT55DR+0IIIfqj3d7OmL+M4Xjd\nca5MvpJ5Q+Z5u6SL0p/R+351wx0/2RQhhBCX0SNfPMLvvvod4YHh/OCKHxCgdvuFbR4xIC7ZO3z4\nMJ988gmlpaWoVKqu6/SzsrLc3ZQQQghxSbYVb+PZbc+iQsV3M7/rM4HfX249afHMM8+wdOlSACZP\nnswVV1yB0+lk6dKl/OY3v3FnU0IIIcQlabW1cvuHt+NUnExJmkJyWLK3S/I4tx7eHzZsGAUFBWi1\n2h7rOzo6GDlyJCdOnHBXU+eQw/tCCCH64of/+iEvff0SkUGRPDDxAZ/r5ffn8L5be/oajYbS0tJz\n1peVlaHRaC74+eXLl2MymRgzZkzXutzcXJKSksjJySEnJ4c1a9a4s2QhhBCD0MbCjbz09UuoUHFT\n1k0+F/j95dat/NOf/sTcuXPJyMggOdl1mKS4uJjjx4/z4osvXvDz99xzDz/60Y+46667utapVCoe\neughHnroIXeWKoQQYpBqam9i2UfLAJiRMoP4kHgvV3T5uDX0r7nmGo4ePcrOnTt7DOSbOHEiAQEX\nbmrGjBm9TuIjh+2FEEK4y0/W/ITS5lJiDbHMTJ3p7XIuK7cfz9BoNEydOvWc9S0tLRiNxn595wsv\nvMA//vEPJk6cyLPPPkt4ePillimEEGIQ+uzYZ/w9/+9oVBqWZC1Bo77wqWd/ctmmHOrvnfceeOAB\nCgsLyc/PJz4+nocfftjNlQkhhBgMqi3VfO/j7wEwO202sYZY7xbkBW7t6T/77LPnfa25ublf3xkb\ne2an3HfffSxatOi8783Nze16PmvWLGbNmtWvNoUQQvgXRVG46+O7qLHWkBiSyNTkc49I+wJzvhlz\nvhmAxrbGPn/eraH/i1/8gp///OfnXLKnKApOp7Nf31leXk58vGuQxUcffdRjZP/Zuoe+EEII0enP\nu/7MmhNr0Gl03Dzy5gE/t/75pGWnkZadBrgu2ct/J79Pn3dr6Ofk5HDjjTcyceLEc1579dVXL/j5\npUuXsmnTJmpqakhOTuapp54iLy+P/Px8VCoV6enpvPzyy+4sWQghhJ8rqC7gobWuK8AWDV9EWGCY\nlyvyHrdOznPkyBGioqKIiYk557WKigri4uLc1dQ5ZHIeIYQQZ2u3tzP+f8dTUF3A6NjRLMla4u2S\n3Mbrc+9nZmae9zVPBr4QQgjRm0e+eISC6gJC9aEsHLbQ2+V4ndtPahw8eJCqqioAamtrue+++7jt\nttsoKChwd1NCCCHEea07uY7ndz6PChW3jLwFfYDe2yV5ndtD/z//8z9RqVQAPPHEE5hMJhYvXszy\n5cvd3ZQQQgjRqypLFbd/cDsAV6VeRWJoopcrGhjceng/NzeXkydP8uc//xlwjbZfvnw5R44coaSk\nhKeeegqAJ5980p3NCiGEEF2cipM7P7yTWmstSaFJzEid4e2SBgy3DuQDmDBhAh9++CGVlZU8/vjj\nbNiwAYDp06fz5ZdfurOpHmQgnxBCCIAVX67g8Q2Po9foeWDiA347Wt/rA/kAfvnLXzJ16lS0Wi1v\nv/02AIcOHeoxyY4QQgjhCV8Wfckv/v0LABZnLvbbwO8vt/f0vUWlUvHkk0/KTHxCCDFI1bTWMPrP\no6m0VDIlcQoLMhZ4uySPMeeb2bd9H/nv5Pepp+9Xoe8nmyKEEKKPnIqTBW8uYP2p9cQb47k3516/\nv5lOfw7v++Y8hEIIIUQ3z3z5DOtPrUev0XPrqFv9PvD7S0JfCCGET/uy6Et+ufGXAHw367tyHv9b\neCT0169ff866119/3RNNCSGEGMSqLdUseXcJTsXJ1KSpDI8a7u2SBjSPhP5TTz3FAw88gMVioaKi\ngkWLFrFq1SpPNCWEEGKQsjvt3PTuTVRZqkgISWBO+hxvlzTgeST0N23axJAhQxg3bhwzZsxg6dKl\nfPDBB55oSgghxCD12PrH2Fy0maCAIDmPf5E8Evr19fV8/fXXDB06FJ1OR1FRkYysF0II4TbvHnqX\nZ7c9iwoVt466lVB9qLdL8gkeCf2pU6eyYMEC1q5dy9dff01paSnTpk3zRFNCCCEGmYLqAr738fcA\nmDdkHqnhqd4tyIe4fUY+gC+++ILUVNdOCA4O5oUXXmDTpk2eaEoIIcQg0tjWyHVvXYfVbmVkzEim\nJE3xdkk+xa09/ZMnTwJ0BX53V111VY/3CCGEEH3hVJws/WAp5gYz0cHR3Djixq67uoqL49ae/hNP\nPIHFYuH6669n4sSJxMfHoygK5eXl7Nq1i1WrVhESEsLKlSvd2WyX3NxcmYZXCCH81K83/ZrPT3yO\nTqPj9tG3o9VovV2S13ROw9tXbp+G98SJE6xcuZKtW7dy+vRpwNXznz59OkuXLmXIkCHubK6LTMMr\nhBD+65Mjn7D4ncUoKCwdvVSux6d/0/DK3PtCCCEGtAOVB5j818lY7VZmpc7iqrSrvF3SgCBz7wsh\nhPAr1ZZqrv3nta6Be9EjmZk609sl+TQJfSGEEANSu72dRW8vorS5FJPBxI2ZMnDvUknoCyGEGHAU\nReH+1fezo3QHBq2BO8bcMagH7rmLR0Lf6XTyxhtv8PTTTwNQVFTEzp07PdGUEEIIP/Tstmd5Y/8b\naFQa7hhzByH6EG+X5Bc8EvoPPvgg27Zt46233gLAaDTy4IMPeqIpIYQQfuazY5/xyBePALA4czHx\nIfFersh/eGRGvh07drB3715ycnIAiIyMxGazeaIpIYQQfiS/Ip+b37sZBYWZKTMZFTvK2yX5FY/0\n9HU6HQ6Ho+vn6upq1GoZPiCEEOL8ihuLWfDmgq6R+rPSZnm7JL/jkST+0Y9+xOLFi6mqquKJJ55g\n2rRpPP74455oSgghhB9obGtk/pvzqbJUkRiSyOKsxTJS3wM8NjnP4cOH2bBhAwBz5swhKyvLE810\nUalUPPnkkzINrxBC+Bibw8a8N+ax6fQmwgPD+Y/x/0GQNsjbZQ1ondPw5r+T7/0Z+YqKigC6Cun8\nay0lJcXdTXWRGfmEEML3KIrCXR/fxZv73yQoIIj7x99PRFCEt8vyCf2Zkc8jA/m+853vdAV9W1sb\nhYWFjBgxgkOHDnmiOSGEED4qNy+XN/e/SYA6gDvG3CGB72EeCf2DBw/2+HnPnj289NJLnmhKCCGE\nj3pt72s8vflpVKhYkrWExNBEb5fk9y7LkPrx48ezY8eOy9GUEEIIH7DqyCruX30/AAuGLiAzOtPL\nFQ0OHunpP/vss13PnU4ne/bsITFR/oITQggBm09v5ub3b8apOJmWPI3JSZO9XdKg4ZHQb25u7jqn\nHxAQwMKFC1myZIknmhJCCOFD9lXs47q3rqPD0UFOXA5z0ud4u6RBxSOhn5ub64mvFUII4cNO1Z9i\n7htzaeloYXjkcBYOXyjX4l9mbg39RYsWnfc1lUrFqlWr3NmcEEIIH1HRUsHs12dT01pDSmgKN4+6\nGbVKZmq93Nwa+g8//LA7v04IIYQfaGhrYM7rcyhqLCLWEMvtY24nQO2RA83iAtz6X93bM+Hl5ubK\njHxCCDGANLc3M/cfcymoKSA8MJy7xt6FPkDv7bJ8XueMfH3lkRn5jh07xhNPPMGhQ4doa2tzNaRS\ncerUKXc31UVm5BNCiIGl1dbK3H/MZVvJNow6I/fl3EdYYJi3y/Ib/ZmRzyMnVO655x6+//3vo9Vq\nycvL4+677+aOO+7wRFNCCCEGoDZ7G9e9dR3bSrYRrA3mnux7JPAHAI+EvtVqZe7cuSiKQmpqKrm5\nuXz22WeeaEoIIcQA0+HoYPE7i8kz5xEUEMQ92fcQGRTp7bIEHrpkLzAwEIfDQUZGBi+++CIJCQlY\nLBZPNCWEEGIAsTvt3Preraw5sQa9Rs/d4+4mOjja22WJb7i1p19RUQHAc889R2trK88//zy7du3i\nzTff5PXXX3dnU0IIIQYYh9PBsg+X8fHRj9FpdNw17i5MRpO3yxLduDX0x40bx9y5c9m/fz8Oh4Pk\n5GT+/ve/8+GHHzJlypQLfn758uWYTCbGjBnTta6uro558+YxfPhw5s+fT0NDgztLFkII4QZ2p507\nPryDlYdWEqAO4M4xd5IQkuDtssRZ3Br6paWl/PznP2fLli2MGDGCG264gZUrV2K1Wi/q8/fccw9r\n1qzpsW7FihXMmzePY8eOMWfOHFasWOHOkoUQQlwiu9PO0veX8s6hd9CqtSwbu4zksGRvlyV64ZFL\n9gDa29v5/PPPeeedd9i4cSNXX301b7311gU/ZzabWbRoEQcOHAAgMzOTTZs2YTKZqKioYNasWRw5\ncuScz8kle0IIcfnZHDZuff9WPjrykQT+ZTZgLtkD0Ov1jBw5kqysLEJCQjh8+HC/vqeyshKTyXVO\nyGQyUVlZ6c4yhRBC9JPNYePm927uCvy7xt0lgT/AuT30i4qK+O1vf8v48eNZuHAhDoeD1atXs3fv\n3kv+bpVKJTdnEEKIAaDzsrxPjn6CTqPj7nF3kxSa5O2yxAW49ZK9K6+8kpKSEm655RZeeeUVJkyY\ncMnf2XlYPy4ujvLycmJjY8/73u5395PpeIUQwjOsNis3rryRdafWdQW+DNq7PMz5Zsz5ZgAa2xr7\n/Hm3ntPftGkTM2bMQK3u/wGEs8/pP/LII0RFRfHoo4+yYsUKGhoaeh3MJ+f0hRDC85ram7j2n9fy\nVfFXXdfhx4fEe7usQak/5/Q9NpCvP5YuXcqmTZuoqanBZDLx9NNPc8MNN3DLLbdQVFREWloa7777\nLuHh4ed8VkJfCCE8q7a1lrlvzCW/Ip9gbTB3j7ubWMP5j74Kz/L50L8UEvpCCOE5Zc1lzH59Nsdq\njxGqC+V72d8jIijC22UNagNm9H5vd9Pz5B32hBBCeE5hfSFT/jqFY7XHiAyK5N7x90rg+yiPhP6S\nJUvOWXfzzTd7oikhhBAedKjqEFP+OoXipmJMBhP35txLqD7U22WJfnLr6P3Dhw9TUFBAY2MjH374\nIYqioFKpaGpqoq2tzZ1NCSGE8LDNpzez8K2FNHc0kxSaxJ1j7kQfoPd2WeISuDX0jx07xurVq2ls\nbGT16tVd60NCQnjllVfc2ZQQQggPevfQu9z54Z3YnDaGRQ7j5pE3o9VovV2WuEQeGci3bds2pk6d\n6u6v/VYykE8IIdzjT9v/xENrH0JBYXz8eK4bdh1qlccmcBX9NGAG8n344Yc0NTVhs9mYM2cO0dHR\nvPHGG55oSgghhJs4FScPrX2In639GQoKs9Nms3DYQgl8P+KRPblu3TpCQ0P59NNPSUtL4+TJk/zu\nd7/zRFNCCCHcoN3ezm3v38Yft/8RFSpuGHEDM1NnytTnfsYjoW+32wH49NNPuemmmwgLC7ss/3By\nc3PJy8vzeDtCCOFP6q31zHtjHu8VvEeAOoDbR99Odly2t8sS38Kcb2bP23v6/Dm3DuTrtGjRIjIz\nMwkMDOQvf/kLVVVVBAYGeqKpHrrPvS+EEOLCjtce55p/XsOp+lMEBQSxbOwymVbXB6Rlp6FJ15D/\nTn6fPuexGfnq6uoICwtDo9FgsVhobm4mLi7OE00BMpBPCCH6Ks+cxw0rb6CpvYmooCjuHHsn4YHn\nTnMuBqYBM5DPYrHw0ksv8f3vfx+AsrIydu3a5YmmhBBC9MMru19h7j/m0tTexNCIodw//n4J/EHA\nI6F/zz33oNPp+OqrrwBISEjgF7/4hSeaEkII0QcOp4Ofrvkp//Hpf+BQHExOnMztY26XSXcGCY+E\n/smTJ3n00UfR6XQAGAwGTzQjhBCiD5rbm7nuret4bsdzqFCxcNhCrsm4Ri7JG0Q8MpBPr9djtVq7\nfj558iR6vfwVKYQQ3nK89jgL317Isdpj6DV6bh11K+kR6d4uS1xmHgn93NxcrrnmGkpKSrj99tvZ\nunUrf//73z3RlBBCiAtYfXQ1t394Oy0dLUQERnDn2DuJDIr0dlnCC9we+k6nk3Wh4i4AACAASURB\nVPr6ej744AO2b98OwHPPPUdMTIy7mxJCCPEtnIqTp/Ke4unNTwMwLHIYS7KWyPn7Qcwjl+xNmDCB\n3bt3u/trv5VcsieEEGc0tjVy2we3sebEGgBmp81mRsoMmWHPjwyYS/bmzZvH73//e4qLi6mrq+ta\nPE1m5BNCCDhUdYjsl7NZc2INeo2e20ffLlPq+pn+zsjnkZ5+Wlpar/+4CgsL3d1UF+npCyEEvH3g\nbZavWk6bvY3o4GhuH307EUER3i5LeEB/evoeGchnNps98bVCCCHOw2qz8sN//ZDX8l8DYGT0SG7M\nvBGtRuvlysRA4pHQt1gs/OEPf6CoqIhXXnmF48ePc/ToURYuXOiJ5oQQYlA7WnOUxe8s5nDNYTQq\nDQuGLmBiwkQ5nC/OITPyCSGED3tz/5vkvJzD4ZrDhOnDuG/8fVyReIUEvuiVzMgnhBA+yGqzcs8n\n97Dso2VY7VYyozN5YOIDxBk9d2Mz4ftkRj4hhPAxB6sOctO7N3G09igalYZrMq5hQvwE6d2LC5IZ\n+YQQwkc4FSfP73ieR754BJvTRnhgOLeOulV69+KieeSSPYCampquGfkmT57s8Rn55JI9IYQ/K2su\n444P7yDPnAdAtimba4ddi06j825hwmsGzCV7c+bMYcOGDT1G63euE0II0TcfFHzAvavupbG9Eb1G\nzw0jbiArJsvbZQkf5NbQt1qttLa2Ul1d3WMGvqamJkpLS93ZlBBC+L2WjhZ+8NkP+Mf+fwCQFp7G\ndzO/S4g+xMuVCV/l1tB/+eWXee655ygrK2PChAld60NCQvjhD3/ozqZ6lZuby6xZs5g1a5bH2xJC\nCE/KM+ex7KNllDSVoFFpmDdkHpMSJ8lgPQHAyV0n2fze5j5/ziPn9J9//nl+/OMfu/trv5Wc0xdC\n+IOWjhZ+vu7nvLz7ZQBigmO4aeRNxBpivVyZGAg6rB3s+XQ329/eQmO96yq5vmSfxwbyffXVV5jN\nZux2e9e6u+66yxNNARL6Qgjft7FwI3d9dBclzSWoUDEjZQYzU2eiUWu8XZrwstbGVnZ+sJ2vP9hB\na2sHACNCjBxtbvH+QL4777yTU6dOkZ2djUZz5h+rJ0NfCCF8VUtHCw+vfZj/3fO/gKt3/92s78ql\neILa4lq2rdzC/i8OYLM5AZgYG8MvZ1/NouBgNH/7W5++zyOhv3v3bgoKCuTckxBCXMAXJ7/gnk/u\nobS5FLVKzfSU6cxMkd79YKYoCkUHitj2z80c23mKzn78grQUHrtqNlelprrytbi4z9/tkdAfPXo0\n5eXlJCQkeOLrhRDC51VZqvjx5z/mnUPvAK7e/ZKsJZiMJi9XJrzF6XByePNhtv1zE6UnqwHQqVXc\nMWoUP58xk5FumO/GI6FfXV3NyJEjmTRpUtf0uyqVilWrVnmiOSGE8BmKovDq3ld5eN3DNLU3oVFp\nmJk6k2nJ06R3P0i1t7az97M97HhnKw21FgAidFoevOIKfjRlKiaj0W1teWwaXiGEED0dqTnC8k+W\ns61kGwCpYancMOIGIoIivFyZ8Iba4lp2frCNfWv20d7uGvSeHmLk59Nn8L2cHIK1Wre36ZHQl+vk\nhRDiDKvNyv/d8n95Zusz2J12AgMCuTbjWsbEjpGxT4OM4lQ4sfMEO9/5khP5RV3rp8abeGTmLBYN\nH45G7ZEb4AJuDn2j0Xjef8AqlYqmpiZ3NieEEAOaoiisOrqKH/zrB5Q2u2YlHWcax4KhCwjSBnm5\nOnE5tbW0sffzvex6fxt1Vc0A6NVqlo4ayU+unEZ23OW5UsOtod/S0uLOrxNCCJ91rPYYD372IBsK\nXfcciQqKYtHwRaSGp3q5MnE5VZur2fneV+xff4CODgcAyYZgfjB5CvdNmEBUcPBlrccjh/e9Rabh\nFUJ4W0tHC09vepo/bv8jdqcdnUbH7LTZTEqchFrlucO2YuCwd9gp2FTA7g+2UXS0omv9VYkJ/OTK\naVyfmXnJh/DzzGby9u3r8+c8NiPf5SYz8gkhvElRFN4++DY/W/szqixVAIyNHcv8ofMx6Axerk5c\nDjVFNez+eCf71u7D+s2seYYADbePHs1Ppl7JqFg3T6VcXIzqtQFwa10hhBhMviz6kh99/iPyK/IB\nMBlMLBq+iMTQRC9XJjzN3mHn8ObD7P5wG6cPl3etHxsVwQOTp3LH2LGEfHPp+kAgoS+EEP10vPY4\nD697mNXHVgMQrA1mTvoccuJyZFS+n6spqmH3JzvZv3YfrRZXrz5Yo+HWkVk8OGUqEwfo5HQS+kII\n0Ue1rbXk5uXyl11/waE4CFAHMDVpKtNTpqPT6LxdnvCQtpY2Dv77IPtWf03Jiaqu9WMiI3hgiqtX\nHzqAevW9kdAXQoiL1GZv44UdL/Drzb+mucN12dWY2DHMGzKPEH2Il6sTnqA4FQr3FpL/6S6ObD3a\nddMbQ4CGm7OyeGDyFK5ISPCZIzs+FfppaWmEhoai0WjQarXs3LnT2yUJIQYBm8PG3/P/zn9t/C8q\nLZWAaza9azOulbny/VR9WT17/7WH/Z/vobGutWv9jIQ47p04iZtGjcKg872jOj4V+iqViry8PCIj\nI71dihBiEHAqTlYeXMkTG57gdONpwHW9/YKhC8iIzPCZ3p24OO2Wdgo2FbBv9U5OHzlzqV2yIZjv\n5YznnvHjSY/w7SmTfSr0AbksTwjhcZ0z6T224TGO1BwBIEwfxpz0OYyOHS1h70ccNgfHdxznwJo9\nHNtxErvddfg+UKPmu8OHc+8Vk5iVlobaT/a5T4W+SqVi7ty5aDQa/vM//5P777/f2yUJIfyIoihs\nKNzA//ni/3RdfmfUGpmdNpvs+GyZXMdPKE6F0/tPc2DtXg5vOozVaut6bVp8HHdPmMito0cP+EF5\n/eFTob9161bi4+Oprq5m3rx5ZGZmMmPGjK7Xu9/dT2bmE0JcLEVR+PzE5/xq46/YXb4bgKCAIGam\nzmRiwkQC1D71q1L0QlEUqk5VsX9tPofW76ex/sx5+lER4SzLGc/SsWNJCQvzYpUXlmc2k2c2u35o\nbOzz5312Rr6nnnoKo9HIww8/DMiMfEKIvnMqTlYdXcWvNv6KA1UHANBr9FyZfCVTkqbI5Xd+oLa4\nlkP/PsChdflUlZ0JyWRDMLePHcud2TmMdvdMeZeLP8/I19raisPhICQkBIvFwrp163jyySe9XZYQ\nwgc5nA4+OPwBT258kiO1rnP2QQFBTEuexhWJV0jY+7iaohoKNh6iYP0+Kkvqu9ZH6nTcNDKLZTnj\nuTI52W/O0/eFz4R+ZWUlixcvBsBut3PHHXcwf/58L1clhPAlHY4O3jrwFr/e/GtO1Z8CwKA1MD1l\nOhPiJ6DVaL1coeivmqIaDm08yOH1+3sEfag2gEXDhnHbuGzmDx2KTqPxYpXe5zOhn56eTn5+vrfL\nEEL4oMa2Rl7e/TLPbnu262Y4Rp2Rq1KuIjs+W87Z+6iaohoO/fuAK+hLG7rWh2oDuP6boJ87ZAj6\nANm/neS/hBDCbxU3FvOH7X/gf3f/L60218CtyKBIpidPZ6xpLBr14O71+RrFqVByuIQjmws4tqmA\nmsqmrtfCtAFcP3wYt43LYe6QIYO+R38+EvpCCL+zv3I/K75cwbuH3sWhOABICk1iZspMmVTHx9g7\n7BTuKeRI3kGOfXWUlub2rtcidFoWDhvG0nHZzJGgvygS+kIIv2B32ll1dBXPbnuWr4q/AkCFisyo\nTGakziAhZGDe9Uycy9ps5fj24xzdeIATuwvp6HB0vZZsCObGzCy+O3o001NSCFDL3Al9IaEvhPBp\nNa01vLL7FV7Y+QLlLa77mQeoA8g2ZXNl8pVEBPn2tKmDRW1JLce2HeN43kFOHy7H2e0ytDGR4Swe\nNZrvjhzFWJNJjtRcAgl9IYRP2lu+lz9u/yPvHHqHDofrfuZh+jAmJ00mJy6HwIBAL1covo29w445\n38zxr45y4qsj1FW3dL2mUamYmRjPd0eP5cbMTFLDw71YqX+R0BdC+Ix2ezsfHv6QP23/EzvLztxl\nMy08jSuTrpTz9QNcY2Ujx7Yf48SXBRTuK8ZmO3PYPlynZX56OotGjuI7w4YRGRTkxUr9l1+Ffm5u\nrky/K4QfOlx9mP+3+//xev7rNLa7ZlXTqrVkx2UzJWkKkUFy582ByGFzUHyo2NWb33q4x4x44Dps\nf11mFgtHZDI5KUnOz/dBntlM3r59ff6cz07DezaZhlcI/9Jqa+W9Q+/x0tcv8XXZ113ro4OjmZQw\niXFx42TmvAFGURSqzdWc3HWSwm1HMB8s7dGbNwYEcHVqMouyRnHtsGEkhoZ6sVo/4M/T8AohBod9\nFfv4y66/8M8D/6Slw3WeN0AdwOiY0VyReAXxxng5hD+AtNS1cGr3KU5uP0rh7lM0N7b1eD0rIowF\nw4azKDOL6Skpclmdl0noCyG8rqKlgrcOvMWre16loKaga73JYGJSwiRGm0ZLr36AsLXZKDpQxMkd\nxzi143iPKW8BYgL1zElL45rhI5iXkUFCSIiXKhW9kdAXQniF1Wblk6Of8OqeV/m3+d84FSfgusvd\nmNgxTEyYiMlo8nKVwtZmo/hQMea9pzDvPE7ZqWocjjOHkwM1aqYlxHPNiCzmZ2QwJjZWjsQMYBL6\nQojLxqk42XJ6C6/lv8YHBR9gsVkA1yQ6QyOGMiF+AsOihslc+F5ka7dRcqgE895CzF8fp/REZY+Q\nVwHZ0ZHMGzacBRnDmJaSQqDMbe8zZE8JITxKURR2l+/mrQNvsfLgyq4JdMB1+D4nLocxpjEEa4O9\nWOXgZe+wU1JQQuGeU5zeeZySXkJ+bFQEVw8ZytVDM5iRmkp4oMyB4Ksk9IUQbqcoCvsr9/P2wbd5\n+8DbFDUVdb1m1BoZGzeWnLgcooOjvVjl4NTa2ErxwWJO7yukZG8hZYXV54T8mMhwZg8ZypyMYcxI\nSSFCrpn3GxL6Qgi3Kagu4O0Db/PPA/+ksKGwa31QQBBZMVmMM40jOTRZzvleJoqiUF9WT9GBIory\nCynZb6a6vKnHe1TAqMhwrk4fytUZGcxMTZWJcfyYhL4Qot8URWFX2S4+PPwh7xe8z4n6E12v6TV6\nsqKzGGsaS2p4KmqVTLziaQ6bg4qTFRQdKKJ4z0mKD5X0uCsdgF6tZqIphhnpQ5mZlsbU5GQ5XD+I\nSOgLIfrE5rCx+fRm3i94n4+OfESlpbLrNZ1Gx4ioEYw1jSU9PF3uV+9BiqLQWNlISUEJJQeLKDtg\nptxci93u7PG+KL2OqQkJzPzmfPz4+Hi5Vn4Q86vQl2l4hfAMS4eFtSfX8t6h9/jXiX/R1H7mEHGw\nNpjM6ExGxYwiNSxVgt5D2lraKDtaRklBMaX7zJQeK8dyVi8eYGhoCNOSk5k5ZCjTU1IYHhUlp1P8\nkEzDK9PwCuFWp+pP8dmxz/j46Md8WfRl153sACICI8iKyWJk9EgSQhIkVNzMYXNQVVhF6ZFSSg+Y\nKT1UQk15I2f/hovUaZkYZ+LKtCFMSU5mUmKiDLobTGQaXiFEf7Xb29lStIXVx1az+ujqHgPxwHV5\n3ajYUWRFZ8moezeyd9ipKqyi7GgZ5YeLqThcSmVJXY8R9QA6tYrRUZFMSU7hytQ0piQlMSQiQv7g\nEn0ioS/EIHa64TRrTqzhk6OfkGfOw2q3dr2m0+hID08nMzqTjMgMjDqjFyv1D/YOO5UnKyk/Xk7Z\noWIqjpRQVVp/TsCD6zD9xIR4pqamMyUpiey4OPQyCY64RPIvSIhBpLa1lo3mjaw7uY61J9dS1FjU\n4/WooChGRI1geNRwksOSZcT9JbA2Wak8VUnF8XIqj5ZScbSMqrIGnM6eAa8ChoWFMD4+nknJqUxM\nTCQ7Lo5Qvd47hQu/JqEvhB+z2qxsLd7KupPrWHNiDQerDqJ0OzOsU+tICUshMzqTYVHDCNXLrU77\nyulwUldaR8WJCipPVlB5pITKU1U0NVjPea8aGBEWyvgEV8BPSEggOy6OEAl4cZlI6AvhRzocHewq\n20WeOY/Pj3/OztKddDjPDMBTq9QkGhPJiMpgaMRQEkISpDffB20tbVSerKSiM9xPlFNdUo/N5jzn\nvYEaNSMjI8iOjyc7IYnx8fFkx8Vh0MndAoX3SOgL4cMsHRa2l2xn8+nNrC9cz66yXT1G2QNEB0eT\nEZlBRkQGKWEpaDVaL1XrO9pa2qg+XU21uZqqkxXUnCinuqiWpsZze+8AicFBjImJJicxmZyEBMaa\nTGRERqJRyx9UYmCR0BfChzS0NbC1aCt55jw2FG5gf+V+HIqjx3siAiNIC09jaORQ0sPT5UY236JH\nuJ+qpOZEmSvcezk0DxCoVpMZGc64uHhyEl2D68aYTDJtrfAZEvpCDFBOxcnRmqNsL9nOlqItbC3e\nyvHa4z3OyatQERMcQ3p4OukR6aSEpUjIn0VRFCz1FmqKaqgtrqW6sLPnXnfennugWs2w8FBGxsQw\nJiGJ0bGxjIqNJT08XHrvwqf5VejLjHzCl9Vb69lRuoNtxdvYUrSFXWW7aO5o7vEetUpNnCGO9Ih0\n0sPTSQ5NRh8gg8AAbG02aktqqS2upaaomtrCSuqKqqkpb6S9zd7rZ3qEe3wio00mCXfhE2RGPpmR\nT/iQdns7B6oOsLtsN1uKtrCtZBun6k+d8z6D1kBiSCKp4akkhSYRb4wf1OfknQ4nTdVNZ8K9sJLa\nwkpqS+tprG897+fCtFoywsPIjI4mKy5eeu7C9ykKFBaieuMNmZFPiIGkzd7GgcoD7C7fzY7SHews\n3cmx2mPYnT17nxqVhhhDDCmhKV0hPxgvobN32GmoaKCutI76snrqiqqpL6qmvrye+pqWXieyAQhQ\nqUgNMTA8MpIsUxxZsSZGREUxIjqamOBgmblODGx2O7S2nrtYLD2X1lZoa3MtDseFv/csEvpCuFGr\nrZUDlQfYU76nR8CfPdgOIDwwnARjAslhySSHJhNnjBs0N6tpb213BXppHXUltdQX11BXXE19eSNN\nDa18W8clNlDP0PAwMmNiyTLFkRkdzYjoaNLDw9HK3ePEQOB0gtV6JrTPDvKWljPrrVZXgNtsfW9H\nr4f2c2+69G0k9IXoB0VRMDeY2V+5n32V+9hTvof9lfs53Xgap3LuNdsRgRHEh8STFJJEQkgCccY4\nvz4X32HtoLGykYaKBtdSXkdDcQ2N5fU01DRjaek472fVQLIxmKFhYWRERzMsxnX5W0ZkJEMiIuQ6\nd3H5KIorVK3WM0tnUHc+7750BngfgxgAjQbCwyEiAqKiICYGTCaIi4PYWIiO7rlERYHBAH08giWh\nL8QFNLU3caDyAPsr97O3Yi97yvdwpOYIFpvlnPeqUBEZGOkK+NAzAa/T+FdQdVg7ugK9sbKR+vI6\nGotraKyop6G6BUvLt//SC1SrSQ0xMiQinOHRMQyLiWXoN8GeGhYmPXbhXk6nK4y7h/fZId49vDsP\nn3d08K2Hnc5HpYKwMFeAR0a6Qjo21hXiJpMr0M8O8dDQPgd4f0joC/GN2tZaDtcc5nD1YQ5VH2J/\n5X6O1ByhvKW81/cHBQQRY4gh3hhPfEg8JoOJ6OBoAtS+/b+Vw+6guaaZpuommqqbaKxqpKm8nqby\nOpqqGmmoaaHVcv6eOrjuCJdsMJASFkp6RCRDomNIj4ggLTyc1LAw4kNCUMs5dtEXncF9vuXsAO/s\ndXeGd38Zja4A794L7wzx6GhXqHcunWEeHu7quQ9Avv3bSYg+UhSFsuYyCqoLOFxzmINVBzlQdYBj\ntceos9b1+hm1Sk1UUBQmg4mEkARMRhMmgwmDznCZq790ToeT5tpmmqq+CfOapm6B3kRTbQstzW0X\n7Nzo1WqSjMGkhoaSHhnJkKgzoZ4WHo7JaJRQFz11Hio/O6jP/rlz6VzX3u5a+nPOu5NKdSa8IyN7\nhndMjGvpHt6dS0QE+NmdDf1ra4TAFey11lqO1x7neN1xjtUeo6C6gGO1xyhsKKTV1vulXQHqACIC\nI4gxxBBniCPGEENMcAwRQREDfn56RVGwNllprm2muaaZlroWmqqbaKlupKWy3tVzr22huenCga4G\n4oICSTAaSA4LIzU8guSISFLCwkgKDZVQH4wUxRW6naHdGcSdS+e6bwvtS+ltA6jVrnPYoaGu8O5+\n+DwqyrWEh7sezw7vsLAB2/O+3CT0hc+qs9b1CPbD1Yc5WnsUc4P5nEltutNr9EQGRRJriMVkMHWF\ne6g+dMBd1tVbmDfXNNNc1UBLVYNrXb2F5sY2HI5zBxCeTQWYgvQkGgwkhYaSEhHpWsLCSP4m1OON\nRjmn7i8UxXVZ17cF9dm97+6HxDvD2mbr37ntsxkMEBJyJrgjIs70ursHd/clIsL1aDS6gl9cEgl9\nMWBZOiyYG8wUNhRibjBzsv4kx2uPc6r+FCVNJd8a7AHqAMIDw4kMiiQmOIbo4GiigqKIDIokWOvd\na7YVp4K12Yql3kJLfYvrsa4FS30LlupGLLXNWOpaaGm00tJ0cWEOEKYNwBQcRLzRSEJoKIlh4SSF\nhRMfEkJCSAhJoaEkhISgk0Af2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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "## This cell shows you how many years and months \n", "## it would take for your interest to exceed\n", "## your principal investment\n", "\n", "mask_hi = np.where(p_hi-amt > amt)[0]\n", "print 'Amount gained from an interest rate of %.2f%%\\n\\t...%s\\nis more than the amount deposited after %i years and %.1f months\\n\\t...%s\\n' % (rates[0],locale.currency(p_hi[mask_hi[0]]-amt[mask_hi[0]], grouping=True),int(yrs[mask_hi[0]]),(yrs[mask_hi[0]]-int(yrs[mask_hi[0]]))*12,locale.currency(amt[mask_hi[0]], grouping=True))\n", "\n", "mask_avg = np.where(p_avg-amt > amt)[0]\n", "print 'Amount gained from an interest rate of %.2f%%\\n\\t...%s\\nis more than the amount deposited after %i years and %.1f months\\n\\t...%s\\n' % (rates[1],locale.currency(p_avg[mask_avg[0]]-amt[mask_avg[0]], grouping=True),int(yrs[mask_avg[0]]),(yrs[mask_avg[0]]-int(yrs[mask_avg[0]]))*12,locale.currency(amt[mask_avg[0]], grouping=True))\n", "\n", "mask_lo = np.where(p_lo-amt > amt)[0]\n", "print 'Amount gained from an interest rate of %.2f%%\\n\\t...%s\\nis more than the amount deposited after %i years and %.1f months\\n\\t...%s\\n' % (rates[2],locale.currency(p_lo[mask_lo[0]]-amt[mask_lo[0]], grouping=True),int(yrs[mask_lo[0]]),(yrs[mask_lo[0]]-int(yrs[mask_lo[0]]))*12,locale.currency(amt[mask_lo[0]], grouping=True))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Amount gained from an interest rate of 10.00%\n", "\t...$69,381.60\n", "is more than the amount deposited after 12 years and 9.0 months\n", "\t...$68,850.00\n", "\n", "Amount gained from an interest rate of 7.00%\n", "\t...$97,755.10\n", "is more than the amount deposited after 18 years and 1.0 months\n", "\t...$97,650.00\n", "\n", "Amount gained from an interest rate of 4.00%\n", "\t...$170,968.82\n", "is more than the amount deposited after 31 years and 7.0 months\n", "\t...$170,550.00\n", "\n" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "## All of the plotting. If you didn't change anything above,\n", "## just hit Control+Enter\n", "\n", "yrs = np.linspace(0,Nyrs,int(Nyrs*12)+1)\n", "\n", "fig = plt.figure(figsize=(10,7))\n", "fig.subplots_adjust(hspace=0)\n", "ax = plt.subplot2grid((1,1),(0,0))\n", "ax.fill_between(yrs,p_hi/1.0E3,p_avg/1.0E3,alpha=0.5,color='g')\n", "ax.fill_between(yrs,p_avg/1.0E3,p_lo/1.0E3,alpha=0.5,color='r')\n", "ax.plot(yrs,p_hi/1.0E3,color='g',linewidth=2)\n", "ax.plot(yrs,p_lo/1.0E3,color='r',linewidth=2)\n", "ax.plot(yrs,p_avg/1.0E3,color='k',linewidth=2)\n", "\n", "ax.plot([0,41],[p_hi[-1]/1.0E3,p_hi[-1]/1.0E3],linestyle='--',color='g')\n", "ax.plot([0,41],[p_lo[-1]/1.0E3,p_lo[-1]/1.0E3],linestyle='--',color='r')\n", "ax.plot([0,41],[p_avg[-1]/1.0E3,p_avg[-1]/1.0E3],linestyle='--',color='k')\n", "\n", "growth_hi = (p_hi[-1]-amt[-1])/amt[-1] * 100.\n", "growth_avg = (p_avg[-1]-amt[-1])/amt[-1] * 100.\n", "growth_lo = (p_lo[-1]-amt[-1])/amt[-1] * 100.\n", "\n", "\n", "ax.text(2,p_hi[-1]/1000.-.05*(p_hi[-1]/1000.),locale.format(\"%d\",growth_hi, grouping=True) + '% growth at 10% Interest')\n", "ax.text(2,p_avg[-1]/1000.-.05*(p_hi[-1]/1000.),locale.format(\"%d\",growth_avg, grouping=True) + '% growth at 7% Interest')\n", "ax.text(2,p_lo[-1]/1000.-.05*(p_hi[-1]/1000.),locale.format(\"%d\",growth_lo, grouping=True) + '% growth at 4% Interest')\n", "ax.minorticks_on()\n", "ax.set_xlim(1,Nyrs)\n", "ax.set_ylim(0,max(p_hi/1000.)+.1*(p_hi[-1]/1000.))\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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y34MdsFgs2FE5IiIiUgIyczK5a9ZdHE8/TliLMNo1amd2SbftTMYZPrr/o1vO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\nRIKXEEIIIcQQ+f/TuIIGafyCWQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "print amt[-1]\n", "print p_hi[-1]\n", "growth_hi = (p_hi[-1]-amt[-1])/amt[-1] * 100.\n", "print growth_hi" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "216000.0\n", "2845835.81141\n", "1217.51657936\n" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "compoundInt(100,10,50,0,compounded='monthly')[0][10]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "108.65288007072382" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }