{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\"The" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Multi-Risk Derivatives Valuation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A specialty of DX Analytics is the valuation of derivatives instruments defined on multiple risk factors and portfolios composed of such derivatives. This section of the documentation illustrates the usage of the dedicated **multi-risk valuation classes**." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from dx import *\n", "from pylab import plt\n", "plt.style.use('seaborn')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import time\n", "t0 = time.time()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are the following **multiple risk factor valuation classes** available:\n", "\n", "* `valuation_mcs_european_multi` for the valuation of multi-risk derivatives with European exercise\n", "* `valuation_mcs_american_multi` for the valuation of multi-risk derivatives with American exercise\n", "\n", "The handling of these classes is similar to building a portfolio of single-risk derivatives positions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Market Environments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Market environments for the risk factors** are the starting point." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "r = constant_short_rate('r', 0.06)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "me1 = market_environment('me1', dt.datetime(2015, 1, 1))\n", "me2 = market_environment('me2', dt.datetime(2015, 1, 1))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "me1.add_constant('initial_value', 36.)\n", "me1.add_constant('volatility', 0.1) # low volatility\n", "me1.add_constant('currency', 'EUR')\n", "me1.add_constant('model', 'gbm')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "me2.add_environment(me1)\n", "me2.add_constant('initial_value', 36.)\n", "me2.add_constant('volatility', 0.5) # high volatility" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We assum a **positive correlation** between the two risk factors." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "risk_factors = {'gbm1' : me1, 'gbm2' : me2}\n", "correlations = [['gbm1', 'gbm2', 0.5]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Valuation Environment" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similar to the instantiation of a `derivatives_portfolio` object, a **valuation environment** is needed (*unifying certain parameters/assumptions* for all relevant risk factors of a derivative)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "val_env = market_environment('val_env', dt.datetime(2015, 1, 1))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "val_env.add_constant('starting_date', val_env.pricing_date)\n", "val_env.add_constant('final_date', dt.datetime(2015, 12, 31))\n", "val_env.add_constant('frequency', 'W')\n", "val_env.add_constant('paths', 5000)\n", "val_env.add_curve('discount_curve', r)\n", "val_env.add_constant('maturity', dt.datetime(2015, 12, 31))\n", "val_env.add_constant('currency', 'EUR')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## valuation_mcs_european_multi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example for a multi-risk derivative with European exercise consider a **maximum call option**. With multiple risk factors, payoff functions are defined by adding key (the name strings) to the `maturity_value` array object. As with the portfolio valuation class, the multi-risk factor valuation classes get passed `market_environment` objects only and not the risk factor model objects themsemselves." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# European maximum call option\n", "payoff_func = \"np.maximum(np.maximum(maturity_value['gbm1'], maturity_value['gbm2']) - 38, 0)\"\n", "vc = valuation_mcs_european_multi(\n", " name='European maximum call', # name\n", " val_env=val_env, # valuation environment\n", " risk_factors=risk_factors, # the relevant risk factors\n", " correlations=correlations, # correlations between risk factors\n", " payoff_func=payoff_func) # payoff function" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'gbm1': ,\n", " 'gbm2': }" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.risk_factors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At instantiation, the respective **risk factor model objects** are instantiated as well." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'gbm1': ,\n", " 'gbm2': }" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.underlying_objects" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Correlations are stored as well and the resulting **corrleation and Cholesky** matrices are generated." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[['gbm1', 'gbm2', 0.5]]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.correlations" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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gbm1gbm2
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" ], "text/plain": [ " gbm1 gbm2\n", "gbm1 1.0 0.5\n", "gbm2 0.5 1.0" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.correlation_matrix" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1. , 0. ],\n", " [0.5 , 0.8660254]])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.val_env.get_list('cholesky_matrix')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The **payoff of a European option** is a one-dimensional `ndarray` object." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(5000,)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.shape(vc.generate_payoff())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Present value estimations** are generated by a call of the `present_value` method." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7.846" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.present_value()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `update` method allows updating of certain parameters." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "vc.update('gbm1', initial_value=50.)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.846" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.present_value()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "vc.update('gbm2', volatility=0.6)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "18.144" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.present_value()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us reset the values to the original parameters." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "vc.update('gbm1', initial_value=36., volatility=0.1)\n", "vc.update('gbm2', initial_value=36., volatility=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When calculating **Greeks** the risk factor, depending on the specific statistic required, now has to be specified by providing its name." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5773" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.delta('gbm2', interval=0.5)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0239" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.gamma('gbm2')" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "15.4872" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.dollar_gamma('gbm2')" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "6.1892" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.vega('gbm1')" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-5.9229" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.theta()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "25.6032" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.rho(interval=0.1)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.06" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "val_env.curves['discount_curve'].short_rate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sensitivities Positive Correlation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Almos in complete analogy to the single-risk valuation classes, **sensitivities** can be estimated for the multi-risk valuation classes. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Sensitivities Risk Factor 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider first the case from before with **positive correlation** between the two risk factors. The following estimates and plots the **sensitivities for the first risk factor `gbm1`**." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 236 ms, sys: 2.73 ms, total: 239 ms\n", "Wall time: 238 ms\n" ] } ], "source": [ "%%time\n", "s_list = np.arange(28., 46.1, 2.)\n", "pv = []; de = []; ve = []\n", "for s in s_list:\n", " vc.update('gbm1', initial_value=s)\n", " pv.append(vc.present_value())\n", " de.append(vc.delta('gbm1', .5))\n", " ve.append(vc.vega('gbm1', 0.2))\n", "vc.update('gbm1', initial_value=36.)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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Yt86Za9q8ucWtt+ZzU8N3OOf315Z6Te6UqZXdTKlGFDJERKRcoRAsWeJh7lwfixY5Fynz\n+ZwroI4dG2DgwFDB2hZXcChtNskzHi+aXZI7ZSp5o0ZXdQlShRQyRESklM2bXbz6qo9XX/WxY4ez\naFaXLiHGjg0wenSQRo1KTz/NGzVaoUJKUMgQEREAjh51rn46d66Pzz5zPh7q1rW56aZ8brghwLnn\naoaInBqFDBGRBGbb8MMPbl5+2cebb/o4dMhJEeefH2Ts2ADDhwdJTq7iRkrcUsgQEUlA+/fDvHk+\nXn7Zx9q1ziDOpk0txo/P5/rrA7Rvr9U4peIUMkREEoRlwdKlziDO99/3kp/vwuu1GTbMGcR58cUh\nvPpUkCjSPycRkRpu69bwIM7t251BnOnpziDOa64J6hoiEjOnHDIMw+gDPGaa5kWGYXQEngds4D/A\nXaZpWtFtooiInKpjx+D99728/LKPZcs82LaLOnVsxo3LZ+zYAD16aBCnxN4phQzDMH4D3AgcKdj0\nOPB70zSXGIbxT2AkMD+6TRQRkUitXu2sxDlvno8DB5wU0adPkBtuCDBiRJA6daq4gZJQTrUnYxNw\nNfBiweMewNKC++8Dg1HIEBGpVAcOOIM45871sXq1M4izSROLu+92ei06dNDpEKkapxQyTNOcZxhG\n22KbXKZpFv7rPQzUP9kxUlOT8Xo9Eb1fWlrdU2lejZPI9Sdy7ZDY9av2yFgWfPopzJoFb74JeXng\n8cDIkTBhAgwZ4sbrTQKSYtfgKNPPvuap6MDP4uMv6gIHTvaC7OzciA6cllaXrKzDp9ms+JfI9Sdy\n7ZDY9av2k9e+fXt4EOfWrc4gzo4dw4M4zzjD+bsvOzumzY06/ezjt/YTBaSKhoxvDcO4yDTNJcAQ\n4NMKHk9ERI6TlweLFjkrcS5Z4gziTE62GTPGmXrau3dIgzilWqpoyLgPeNYwDD+wDsioeJNERARg\nzRo3r7ziIyPDy/79Tq9Fz54hbrghwMiRAVJSqriBIidxyiHDNM3NQN+C++uBgVFuk4hIwkian0Hy\n9GmwPpPU9M7suO1BXgv8grlzfXz3nTN+rXFjizvvdAZxpqdrlQCJH1qMS0SkiiTNz6DepPFYuFjC\nAGatm0DGvVdzjFq43TaDBzvXDxk0KIjPV9WtFTl1ChkiIlUgPx++fvRL3uFp3mYku2gGQCfW88sm\nCxnx0USaNtXUU4lvChkiIpUkJwc++cTLwoVePvrIy6FDzwDQmCzGM4ubmcOFLIP9XvY2nVDFrRWp\nOIUMEZEY2rvXxYcfeli40MfSpR7y8pxpIC1bWtzseYlfZD/HBXyOl1DRa4LpnauquSJRpZAhIhJl\n27a5WLjQ6bH46isPluUEiy5dQgwZEmTYsCBdu1rUeitIvUn/LvX63ClTK7vJIjGhkCEiUkG2DZmZ\n7qJgUbi0t8tl06OHxdChAYYODdK+fckxFnmjRnMISJ7xON71mQTTO5M7ZSp5o0ZXQRUi0aeQISJy\nGiwLvvnGzcKFPhYu9LJ5s7OOhc9nc/HFQYYODXLFFeEVOMuTN2o0eaNGk5ZWl+w4XvVRpCwKGSIi\nEcrPh88+87BwoZdFi7zs2eMEi+RkmyuvDDBkSJBBg4LUq1fFDRWpJhQyREROoPiMkMWLvRw+7Iyv\naNTIYuzYfIYODTJgQIhataq4oSLVkEKGiMhx9u518cEHTrD497/DM0JatbIYO9YZX9GrVwivfoOK\nnJD+i4iIAFu3unj//ZPPCNGFyEQip5AhIgnJtmHduvCMkP/8JzwjpGdPZ0bIkCGlZ4SISOQUMkQk\nYVgWfP21p6jH4nRnhIhIZBQyRKRGK5wRsmCBMyMkK6vkjJChQ4NcdplmhIjEgkKGiNQ4OTnw8cfh\na4QUnxFyww35DBmiGSEilUEhQ0TiUtL8DJKnT8OzPpNQeme2jH+Id72jTjgjpHfvEB5PFTdcJIEo\nZIhI3Eman0HdSeP5iXa8zd3MXzeKz399ARZOgujSJcTQoc4YC80IEak6ChkiEhdycuD77z2sXOlh\n9fTWfMUOdtEMABcW/fiSkU2+ZOA7t2tGiEg1oZAhItWOZcGGDW5WrXLzzTceVq3ysG6du2jtCriU\n5vzMKN7kChZxJe/QlN3Y+73sbT+pStsuImEKGSJS5fbtc7FqlZt162DZstp8+62HQ4fC5zhq1bLp\n1StEjx4WPXqEuOTPw2m78ZNSxwmld67MZovISShkiEilys+HNWvcrFrl4ZtvnNMfhetVOLx06GBx\n+eVBevQI0bNniC5dLHy+8B5JwXEwqXTIyJ0yNfYFiEjEFDJEJGZsG7Zvd5UIFKtXu4tmfgDUr+8s\nhNWjR4hLL02iffvDpKae+Lh5o0ZzCEie8XjR7JLcKVPJGzU6tgWJyClRyBCRqCk+OHPlSjcrV3qK\nLocO4PHYnHmmc8qje3enl6J9ext3wS5paUlkZUX2XnmjRitUiFRzChkiclqOH5y5cqWHzMzigzOh\naVOL4cMDBYHC4uyzQyQnV2GjRaRSVThkGIbhA+YAbYEQcKtpmpkVPa6IVC+FgzOdXgpnxkfhSpoA\ntWuXHJzZo0eI5s01lVQkkUWjJ2Mo4DVN83zDMAYB/wP8IgrHFZEqUjg4szBQlB6cCR06WAwZEiw6\n7XH84EwRkWiEjPWA1zAMN1APCJxo59TUZLzeyNb1TUurW/HWxbFErj+Ra4cY1v/qq/CnP8HatXDm\nmfC732Ffdz1bt8Ly5fDVV87XVasgLy/8stRUuOIK6NMH+vaF3r2hYUM34AaimywS+WefyLVDYtdf\nU2uPRsjIwTlVkgk0BoafaOfs7NyIDpqWVpesrMMVbVvcSuT6E7l2iF39SfMzqDdpPAeoz3f0Z/nq\nviwfU4vlk3LZfSg8UMLjsTnrLIvu3UNFpz2KD84ECIWIeIDmqUjkn30i1w6JXX+8136igBSNkHEv\n8IFpmg8ahtEK+MQwjG6maR6LwrFF5BTYNmRludi+3cX27W62bXOxbZub7dvd7Fh6AVs5wCHql3hN\ni9zdDB/uKwgUGpwpItETjZCRTfgUyX6cvlNd51AkBoJB2LXr+AARDhI//+zi2LGyrwaWQjPasIU2\nfMaZrKUvy+nDV7RgN3tn76/kSkQkEUQjZDwBzDYMYxngB35nmuaRKBxXJOEcOwYbNjhrTZQMEE6w\n2LHDRShUdoho2NAiPd2iVSuLli3t475atBvZD1/mmlKvC6Z3jXVZIpKgKhwyTNPMAa6NQltEaryc\nHIpCw9atTu9D8VMb4YWrSp6vcLlsmja16d7dKgoNxYNEixYWKSknfu+j996Hb9L4Utu1FLeIxIoW\n4xI5iaT5GSRPnxZevvqe+8pcadK2Yf9+V7EAEQ4PTphwc+BA2b0QPp9N8+Y2/fsH6djRS+PGeSV6\nIpo3t/H7K1aHluIWkcqmkCFyAoUzMgAsXOxel83mSc+RuaI9PzXtWyxAOF9zc8sOEcnJNi1bWnTv\n7nxt3dou6I2waNXKpkkTG0/BSCZnpHl+TOrRUtwiUpkUMiQmIv3rP5ZCIcjNhSNHXBw5UvjVRU5O\n+H54O+TklN527Pt+5LCRHFLIJpUABd0Js0q+V2qqTYcO4dBw/OmMhg1tXGXnDxGRGqtGhIzq8IEW\nLYW1sD6T1Ditpfhf/wDedWuoN2k8h6DcWooHguxs2LrVXSochINA6ZBQcjvk5rrK7VWIlMdjkxJq\nSl0O05D9tOfHgtkZW2jt3k7qi48VBYmTjYcQEUlEcR8yTucDrbo6lVps2/lgDoWcaY2WVfjYddzj\n8PbC+4XPBYPO9uKPS77OddwxnOeDQddxjwvvO9v9zx7B4g+E8BDEyxHqkEMKh+5vQfYrtUv1Fhw5\n4uLo0eMDQZ1T+t55PDZ16kBKik1qqk3LljZ16oS31aljk5xMqW116hRus0lJocS2pCRoeFF/vOvK\nmJHRuSvZg0Kn1EYRkUQT9yEjefo0AP7G3bzGddg4H1bWPXUIPuOM0Ldt51Z4v6xtJ3r+RK8Lb3NV\n+FjuPUOw2YaNCws3QbyE8BC6w0fw3pQSH+iF71c9TS5782FgyckDQaNGPtzu/FMOBLE4HZF7z30l\ngl/Rds3IEBE5qbgPGZ71zgVff+BsvqIPLmxc2HAUXKvdRR88Lhcl7hc60fPHb3O57FLbix/n1I7l\n3Iov1ewNOsuLuLBxY+EliIcQHsvC7tgVr9fZ3+NxBgkef3O7ne1eb+FjCh7bRfdL3uxirz3+deFj\nlXytfdx7Fr7OLnrc4Nd3k7R1Ix5CeAmSQg4p5FArvRWBjxaeNBCkpfnIysorf4dKpBkZIiKnL+5D\nRii9M951a3iOW3mOW4u2B8/sSvaSL6qwZacudeDIsrvmz+xK9kfxU0vSQ/2pN2l2qe2H7vsv8mpV\nQYMqSDMyREROj/vku1RvuffcV/b2OOzOrim15I0azaGZswme2RXb6yV4ZlcOzZytD2oRkQQT9z0Z\nNak7u3gt3vWZBOO8lnhst4iIRE/chwyoWR9ohbWkpdUlO44v/SsiIuKyi097EBEREYmSuB+TISIi\nItWTQoaIiIjEhEKGiIiIxIRChoiIiMSEQoaIiIjEhEKGiIiIxIRChoiIiMSEQoaIiIjEhEKGiIiI\nxIRChoiIiMSEQoaIiIjEhEKGiIiIxIRChoiIiMSEQoaIiIjEhEKGiIiIxIRChoiIiMSEQoaIiIjE\nhEKGiIiIxIRChoiIiMSEQoaIiIjEhPdkOxiG4QaeAs4B8oCJpmluLPb8DcB9QAiYbZrm0zFqq4iI\niMSRSHoyrgJqmabZD3gAmHbc8/8HXAZcANxnGEZqdJsoIiIi8eikPRlAf2ARgGmayw3D6Hnc8z8A\n9YEg4ALsEx0sK+vwCZ8vlJqaTHZ2biS71kiJXH8i1w6JXb9qT8zaIbHrj/fa09Lqusp7LpKQUQ84\nWOxxyDAMr2mawYLH/wFWAkeAN03TPHCig6WmJuP1eiJ4W0hLqxvRfjVVItefyLVDYtev2hNXItdf\nU2uPJGQcAopX7y4MGIZhnA0MA9oBOcBLhmFcY5rmG+UdLNK0lpZWl6yswxHtWxMlcv2JXDskdv2q\nPTFrh8SuP9a1z9+QwfSV01ifnUl6amfu6XEfozqNjtrxTxSQIhmT8TkwFMAwjL7A6mLPHQSOAkdN\n0wwBewCNyRAREakG5pkZTJr/AOvW5xMKWazbv4ZJi8czf0NGpbx/JD0Z84FBhmF8gTPm4hbDMMYC\nKaZpPmMYxkzgM8Mw8oFNwPMxa62IiIgUycmBn3928/PPLrZvd7NjR8mvW7aPheAtzs7XjIaz5gEw\nY9XjUe3NKM9JQ4ZpmhZw+3GbM4s9/0/gn1Ful4iISEILBGDnTldRiCj+dft2Fzt2uDl4sNwxlzRp\nYmGf8QPU2wINN0HbpUXPrc/OLPd10RRJT4aIiIhEkW3D3r0ufv7ZRU4OrF3rKxUmdu92Ydtlh4iU\nFJuWLS169LBp0cKiZUub5s3DX5s3t0lKgoGv3sK6/WtKvT49tXOsSwQUMkRERKIuJwd27HB6HIqH\nh+KnM/LyigeIWkX3vF6b5s1t+vYN0aKFEyJatHBCRfPmztd69SJrxz097mPS4vGltk/pPrWCFUZG\nIUNEROQ4J5qREQjArl0nPo1x4ED5pzEaN7bo0sUqCg+G4ad+/aNFPRJpaTbuKF30o7DNM1Y9XlTL\nlO5TK2U8BsRpyIjFdJxVq77hkUcepG3bdgAEg0GuuWYMl146qMz9J0++jV//+nekpqayfPmXDB58\nRYXeX0REqoeMdfO4M+NPsLczZF/CukOtmDQzmcdcRzm6rzG7d7uwrLJDRJ06Tk/DeeeFex6Kn85o\n3tymVq2Sr0lL85OVFSzzeNEwqtPoSgsVx4u7kDF/Q0aJrp/C6ThAhb+JPXr05A9/+DMAubm5TJ58\nG61bt6ZTJ6Pc12zcuIHPP1+qkCEiEmdyc2HTJjcbNrhZv975umGDG3PDWAj9stT+P7oDtG4JvXuX\nPI1R/HRGvXrgKr8TI+HEXciYvvL4S6c4oj0dJzk5mZEjr+bTTz/m448X8/3332JZFtdddwOXXHJZ\n0X4vvDCbjRs38Pbbb9Kt29k8+eQTWJbFgQMHuP/+B+jW7ZyotUlERE7dvn2uogBRGCY2bnSzbVvp\ngZV16thV31nqAAAgAElEQVTYTVdB47XQOBNSN0H9rVB/G556e/nmzr1VVEV8iruQUd60m1hMx2nY\nsCGvvvoS6ekGTz89i7y8PCZNuoVevfoU7XPTTeN5++15jBx5NR9//CGTJ99Lhw4d+fDDRSxc+K5C\nhohIJbAs2L7dxcaNJXslNmxws29f6QEOTZpYXHBBiI4dLdLTLTp1cm7Nmtlc9FrZMzKMRl0ro5Qa\nJe5CRnpq50qbjrNr1y4GDx7CBx8sZPLk2wBnrMauXTvK3L9x4yY8//xzJCUlkZubS506daLeJhGR\nRJaXBz/9VPoUx6ZNbnJzS/ZKuN02bdrY9OgRpFMni/T0EJ06WXTsaNGgQfnvUdUzMmqSuAsZlfXD\nP3Ikh3ffnc/w4Vdx3nk9+e1vH8KyLJ5//jlatGhZtJ/b7caynAvLzpjxVx555FHatm3HrFkz2bmz\n7DAiIiIndugQJXojnFDhYcsWF6FQyTBRq5ZNhw7hHon0dCdItG9vlRpkGYmqnpFRk8RdyIjlD3/l\nym+YPPk2PB4PoVCICRMmMWDAxfz9709w550TOXo0lwEDLiY5OdxD0aJFS378cSOvvz6XwYOH8PDD\nv6Vu3XqkpTXh4METXpBWRCSh2Tbs3u1i/Xo3O3fCt98mFfVQ7N5d+hRHaqpNjx6hEqc3OnWyaNUq\nelM+C1XljIyaxGXbdqW+YVbW4YjeMJGvyAeJXX8i1w6JXb9qj+/ay1teIBiELVtcrF/vKdU7cfhw\n6akYLVuW7JEoDBWNG1fu51VlifeffVpa3XLn08RdT4aIiFQ/8zdkMOnD8c7aEjuvZd3eLkx6ui5/\nOBZk788NyM8v+Tnk89m0bx/ujejRI4mmTY/QoYOFhrPVHAoZIiJyWo4dg+++87BihYfpb7WFTXvh\naKMS++yqlcO5XUue3khPD9G6tY3PF94vLS2JrCyrcguQmFPIEBGRiOzb5+Lrr92sWOHhq6+8fP+9\nu1gPxcXQ4CfotBBarIA0Z50JV/09LLpjf5W2W6qOQoaIiJRi2/DTTy5WrPAUhAoPGzZ4ip53u226\ndbPo3TtE794hHts5jI3Wp6WOYzTU2hKJTCFDRETIz4fVq91FgWLFCg9794anbNSpYzNwYJDevUP0\n6ROie/cQKSnh11sbbmTS4tIhQ2tLJDaFDBGRBHTwIHzzTbiX4ttvPRw9Gh6c2ayZxVVXBYpCRZcu\nFt4TfGJobQkpi0KGiEgNZ9uwbZurRC9FZqa76LodLpdNly5WUaDo3TtEy5b2KV/oS2tLyPEUMkRE\naphgENauLXnqY+fO8KmP2rVtzj8/VBQqevQIUb9+FTZYaqyThgzDMNzAU8A5QB4w0TTNjcWe7wU8\nDriAXcA40zSPxaa5IiJyvJwcWLkyHChWrvRw5Ei4GyItzWLYsEBRL0W3blaJ6aMisRJJT8ZVQC3T\nNPsZhtEXmAaMBDAMwwU8C4w2TXOjYRgTgTaAGasGi4gkup07S576+M9/3FhWOFSkpzs9FL16OaGi\nXbtTP/UhEg2RhIz+wCIA0zSXG4bRs9hz6cA+4F7DMLoCC0zTVMAQEYlQeUtxF7IsyMx0FwWKFSs8\nbNsWPvXh99v07BkeS9GrV4iGDauiEpHSTnrtEsMwngPmmab5fsHjrUB70zSDhmFcAHwEdAc2Au8B\nj5mm+Ul5xwsGQ7bX6ynvaRGRhPHqf15lzLwxJTfm1+bhju+StONSPv8cvvjCmQlSqFEjuOCC8K1H\nD07rSqMiUVSha5ccAuoWe+w2TTNYcH8fsNE0zXUAhmEsAnoC5YaM7OzcCN4y/i8YU1GJXH8i1w6J\nXX+i1f7HTx8Fyw1bLoT1I2Brf9jZnf+2wgMm2rWzGDIkPEizY0erxKmPw4edW7xLtJ99cfFee1pa\n3XKfiyRkfA6MAF4vGJOxuthzPwIphmF0LBgMeiEwqwJtFRGp8UIhWL7cQ+aLd8HaUXCkqfOEOwDN\nVuJq8yWzJt5O794hmjSpmVcelcQQSciYDwwyDOMLnC6RWwzDGAukmKb5jGEYE4C5BYNAvzBNc0EM\n2ysiEpcKg8U773h57z0vWVlu4A5IzoIe/4Qz50Grz8F/lC6NujJ8+MSqbrJIhZ00ZJimaQG3H7c5\ns9jznwC9o9wuEZG4FwrBV195ePvt4sECGjWyuOmmfBr2+ITpe4eDJ1TidVqKW2oKLcYlIhJFhcGi\nsMdiz55wsLjxxnyuvDLIBReECpbovoAuG57VUtxSYylkiIhUUHnBomHDsoJFSYVLccf74D+Rsihk\niIichlAIVqwInwo5lWAhkij0z19EJEKFweKdd7y8+27pYDFiRJD+/RUsRArpv4KIyAkUDxbvvedl\n9+7SweKCC0K6FohIGRQyRESOY1kleyyKB4tx48KnQhQsRE5MIUNEhJLB4r33vOzaVTJYFJ4KUbAQ\niZxChogkrPKCRWqqrWAhEgUKGSKSUAqDxbvvOqdCigeLG25wToUoWIhEh0KGiNR45QWLBg2cYDFi\nRJALL1SwEIk2hQwRqZEsC77+Ohwsdu4MB4uxY50eCwULkdhSyBCRuDR/QwbTV04rWo77nh73MbLD\naAULkWpEIUNE4s78DRlMWjzeeWC5WPddPSa9fJDf/ujmQFYyoGAhUh0oZIhI3Jm+chrsTYdvJsGa\na+FwSwAOJR9kzJgAI0cG6N8/hN9fxQ0VSXAKGSISN0Ih+OgjD+tmPAGbBjkba+2Hc2fDWW/g6rCU\nGZN3V20jRaSIQoaIVHvZ2TB3ro9//cvP1q1uYBC0WQq9/w7G2+ANAGA06lq1DRWREhQyRKTaWrPG\nzaxZPubN83H0qIvatW1uvDGftpct5L9/GlVq/yndp1ZBK0WkPAoZIlKtBALw/vteZs3y8eWXzq+o\n1q0txo/PY+zYAA0aAFxKyw2zmbHq8aLZJVO6T2VUp9FV2nYRKemkIcMwDDfwFHAOkAdMNE1zYxn7\nPQPsN03zgai3UkRqvKwsFzNnwlNP1SmaenrRRUEmTszn0ktDeDwl9x/VabRChUg1F0lPxlVALdM0\n+xmG0ReYBowsvoNhGJOAbsDS6DdRRGqyVavczJrl5+23veTnQ0qKi4kT8xk/Pp+OHe2qbp6IVEAk\nIaM/sAjANM3lhmH0LP6kYRjnA32AmUDnqLdQRGqcvDx4+20vs2f7WbXK6aLo1CnElCkehg7NISWl\nihsoIlERScioBxws9jhkGIbXNM2gYRjNgP8CRgHXRvKGqanJeL2ek+8IpKXVjWi/miqR60/k2qHm\n1r99O8ycCc88A3v2gMsFV14Jd98Nl17qweUCqJm1R6Km/twjlcj119TaIwkZhyj5v95tmmaw4P41\nQGNgIdAUSDYMI9M0zefLO1h2dm5EDUtLq0tW1uGI9q2JErn+RK4dal79tg3Ll3uYNcvHggVeQiEX\nDRrY3HVXgF/+Mp82bZxTInv31rzaT0Ui1w6JXX+8136igBRJyPgcGAG8XjAmY3XhE6Zp/g34G4Bh\nGL8EOp8oYIhI4sjNhTff9DFrlo81a5zey7POCjFxYoBRowIkJ1dxA0Uk5iIJGfOBQYZhfAG4gFsM\nwxgLpJim+UxMWycicWfLFhf/+pefuXN9HDjgwuOxGTkywIQJAfr0CRWcEhGRRHDSkGGapgXcftzm\nzDL2ez5KbRKROGPbsHSph1mz/Hz4oQfbdtG4scXUqfncfHOAZs00S0QkEWkxLhE5bYcPw+uvO6dE\nNm50Ton06BFi/Hjn6qdJSVXcQBGpUgoZInLKNm50MWuWn9de85GT48Lvt7nmmgATJ+Zz3nlWVTdP\nRKoJhQwRiUjhFVCfe87P0qXOr45mzSzuvjufceMCpKXplIiIlKSQISInVPoKqNCvX5CJEwMMGRLE\nq98iIlIO/XoQkTKVdwXU8eMDnHWWTomIyMkpZIhIkcIroD73nI/ly8u7AqqISGQUMkSErCwXL77o\nY84cX0RXQBURiYRChkgCmb8hg+krp7E+O5P01M6MrP1nNn5wBe+84yU/30VKiq0roIpI1ChkiCSI\n+RsymLR4PAT9sGYM61ZMZt3PfQDnCqjjxwe47rqAroAqIlGjkCGSIP7y7tuw5HH4YRzkpgEWGG/T\n+rL3+OyRx7Xct4hEnUKGSA126BDMn+9j7lwfP337lrMxeQ+c/1fo9RSkbmaH24vL9XjVNlREaiSF\nDJEaxrLgyy89vPyyc2n1o0dduN02KWctJafrdOi0ALyBov3TUztXYWtFpCZTyBCpIXbscPHaa06v\nxZYtzgyR9u0txo7N59prA3x5+EcmLX6r1OumdJ9a2U0VkQShkCESx/Ly4MMPvbz8so8lSzxYlovk\nZJvrrgtwww0lL60+quloAGaserxodsmU7lMZ1Wl0FVYgIjWZQoZIHFq71s0rr/h44w0v+/c7vRY9\neoQYOzbAVVcFqFu37NeN6jRaoUJEKo1ChkicOHgwPIjzu++c1bEaN7a44458xowJ0LmzlvoWkepF\nIUOkGrMs+OILD3Pn+njvPS/HjjmDOAcPDjJmTIBBg4L4/VXdShGRsilkiFRDO3a4ePVVH6+8UvYg\nzqZNtRqniFR/Jw0ZhmG4gaeAc4A8YKJpmhuLPT8GuAcIAquBO03TVL+tyCkqHMT5xhvw4Yd1igZx\nXn99gLFjSw7iFBGJB5H0ZFwF1DJNs59hGH2BacBIAMMwagOPAt1M08w1DOMVYDjwTqwaLFLTrF3r\nZu5cHxkZ4UGcPXtajB0bYOTI8gdxiohUd5GEjP7AIgDTNJcbhtGz2HN5wPmmaeYWO96x6DZRpOYp\nbxDnnXfmc9ddftLSck9yBBGR6i+SkFEPOFjsccgwDK9pmsGC0yK7AQzDuBtIARaf6GCpqcl4vZFd\nNzotLbH/hEvk+mti7ZYFS5fCrFkwbx4cOwYeD4wYAePHw7Bhbny+wlGcNa/+SNXEn32kErl2SOz6\na2rtkYSMQ5T8jec2TTNY+KBgzMb/AunAL0zTPOGItOzsyP5CS0urS1bW4Yj2rYkSuf6aVvvPPzsr\ncZYexBkoMYjzwAFn/5pW/6lQ7YlZOyR2/fFe+4kCUiQh43NgBPB6wZiM1cc9PxPntMlVGvAp4sjL\ngw8+CK/EadsaxCkiiSeSkDEfGGQYxheAC7jFMIyxOKdGvgEmAMuATwzDAJhhmub8GLVXpFpbs8ZZ\nibPkIM7wSpwpKVXcQBGRSnTSkFHQO3H7cZszi913R7VFInHm4EF4801nEOf335ccxDl2bID0dHXw\niUhi0mJcIicxf0MG01dOK7qo2D097mNkh9F8/rmzEueCBc5KnB6PzeWXh1fi9PmquuUiIlVLIUPk\nBOZvyGDS4vFFj9f9dJBJ83/kIRP27kgGoEMHizFj8rnuugBnnKGVOEVECilkiJzAE99Mg6zOsOVC\nWHc1bBoMuNnnz2XMmABjxmgQp4hIeRQyRIoJBmH1ajfLl3tYvtxD5tJPITctvEOrz+G82bi7vcmM\nKVurrqEiInFAIUMS2tGjsGqVpyhUfP21h9zccLeENzVAsMNL0GYZtPsEGjmX7TEada2qJouIxA2F\nDEkoBw/CihUevvzSw/LlXr7/3k0gEA4V6ekh+vQJ0a9fiL59Q3x99IMSYzIKTek+tTKbLSISlxQy\npEbbtctV1EuxfLmHdevc2LYTKjwem7PPtujTxwkUffqEaNSo5MDNlowGYMaqx4tml0zpPpVRnUZX\nei0iIvFGIUNqDNuGn34qDBVeli/3sHlzeBmXWrVszj8/VBQqevYMRbQ41qhOoxUqREROg0KGxK1Q\nyLlM+ldfhXsq9uwJh4r69W0GDQrSt2+Ivn2DnHOOhd9/ggOKiEhUKWRI3MjLg+++CweKFSs8HD4c\nHk9xxhkWV10VKOqp6NLFwq31aEVEqoxChlRbOTnOIM3CnopVqzzk5YVDRfv2FiNGBIrGU7Rta2u9\nChGRakQhQ6qNrCwXX33l4Ycf4NNPk1m92o1lOanB5bI56yyr4NSHEyq0uqaISPWmkCExUdb1PooP\nnrRt2Lat5MyPjRs9Rc/7/W569gxPJe3VK0S9elVRiYiInC6FDIm6Utf72L+GSR9M4OcfG1Bnx5Ci\n0x87doQHTKSk2Fx8sTNI84orkmjXLodataqi9SIiEi0KGRJVOTnwv4teh+39IacpZLeDbRfA1v78\n8Wijov0aN7YYNixQdPrjrLMsvAX/GtPSksjKqqICREQkahQy5KQsC/btc7F7t4s9ewpv7qLHu3e7\n2L3bzZ49Lo4ccQHvlz5Ig59wGQuZdtM19O0bpEMHDdIUEanpFDIS2NGjFIWGwpBQ/HFhiMjKchEK\nlZ8IXC6bxo1t2ra1OOMMm5VH3uWgbx2k7IJ6P0OLr6D+z3Rp1JVx111ViRWKiEhVUsioZk42YPJk\nbBuysynV07Bnj7tYgHBCxKFDJ+5KqFXLpkkTm+7dLZo0cQJEkyZ2wdfw48aN7aJTHU4NB5i0+KFS\nx9P1PkREEkuNCBkV/WCuLsocMFnweFib0WRluYoFB3exAFHy9EXxC36VpWFDixYtLM47rzA0WMXC\nQ/hx3bqc1imNwu+9rvchIpLYThoyDMNwA08B5wB5wETTNDcWe34E8AgQBGabpvlsjNpaphN9MEf7\nQ822naWs8/MhGIT8fFfB1/DjQICCW/H7J3vs3H/uuzzI+TOEkiC3EeQ0g5ym3PnXloSO1D1h2/x+\nJyCcfbZFWlr5vQ5paXalLK2t632IiEgkPRlXAbVM0+xnGEZfYBowEsAwDB/wBNALOAJ8bhjGO6Zp\n7o5Vg483feU05872XvDjZRDyg+Xjd8tgZYek0woEJfd1lXhNbN1eelOtbEJ1d9L/vLo0aRLuaTg+\nRDRocHq9DiIiIrESScjoDywCME1zuWEYPYs91wXYaJpmNoBhGJ8BA4A3ot3Q8qzPznTufPQX2HxJ\n0fZ9wDMfR3YMv9/G56PgFr6fnGyXeFz8vt/vjEPw+yn4eqLHdrHt4ceFxyx87r5lt7MlZz14AlB7\nnzNw0pfHmY268uZ1X0T/myciIhJDkYSMesDBYo9DhmF4TdMMlvHcYaD+iQ6WmpqM1+s50S5F0tJO\nfIoA4My0M1m9ZzWMHgO7zgVPPnjy6ZjWljeuf7kgEFDuV48HXCW6AKquOyBgDGXMvBdLbX/4ooci\n+l7UJIlW7/ESuX7VnrgSuf6aWnskIeMQULx6d0HAKOu5usCBEx0sOzs3ooalpdUlK+vwSfebfM69\nzhiMlD3Q8cOi7b8eNJEWLcp+fX6+cztyJKKmVJpLzxjGzEGzSw2YvPSMYRF9L2qKSH/2NVUi16/a\nE7N2SOz64732EwWkSELG58AI4PWCMRmriz23DuhkGEZDIAfnVMn/nX5TT11Nm8lQOGAy3v/RiYiI\nRBIy5gODDMP4Audcwi2GYYwFUkzTfMYwjKnAB4AbZ3bJz7Frbtk0k0FERKT6cdm2LpctIiIi0ec+\n+S4iIiIip04hQ0RERGJCIUNERERiQiFDREREYkIhQ0RERGJCIUNERERiQiFDREREYkIhQ0RERGJC\nIUNERERiQiFDREREYkIhQ0RERGJCIUNERERiQiFDREREYkIhQ0RERGJCIUNERERiQiFDREREYkIh\nQ0RERGJCIUNERERiQiFDREREYkIhQ0RERGJCIUNERERiQiFDREREYsJb2W+YlXXYjmS/1NRksrNz\nY92caiuR60/k2iGx61ftiVk7JHb98V57WlpdV3nPVThkGIbhA+YAbYEQcKtpmpkVPa7X66noIeJa\nItefyLVDYtev2hNXItdfk2uPxumSoYDXNM3zgT8C/xOFY4qInNDBgxls3NiPNWtS2bixHwcPZlR1\nk0TkONE4XbIe8BqG4QbqAYEoHFNEpFwHD2awffv4osd5eWuKHtevP7qqmiUix3HZdkRDJMplGEYr\n4G0gBWgMDDdN84vy9g8GQ3ZN7hoSkeiybdi1C378MXxbseIdtm1LZc+eVjRsuIt27f5D27Zr6NIl\nl6uvnkmzZuAq9yyxiERZuf/bohEyHgfyTNN8sCBwfAJ0M03zWFn7RzrwMy2tLllZhyvUtniWyPUn\ncu2QmPXn5sLWrW4OHKjDDz8cY8sWd8HNxdatbo4eLf07zO0O0bDhLrKzmxAK+Uo816CBjWGE6NzZ\nKroZhkXjxhX7fRdLifhzLy6R64/32mM68BPIJnyKZD/gA9RVISJFLAt273axZYubzZtdxUKEEyT2\n7Ck+PKxW0b169Ww6dbJo06bwZtOmjQX8ggYNPsbnCxAI+Ni+vRM//dSV7dsvZvfuCZimh6+/9vDV\nVyV/xTVuHA4c4a8hGjSonO+DSKKJRsh4AphtGMYywA/8zjTNI1E4rojEkZwcpzeiMDgc3xuRl1f6\njx2Px6ZlS5sBA4K0aWNx1ll+Gjc+WhQqyvvwP3jwWrZvXwSAzxegXbu1tGu3lpYtr6B+facT9dgx\n2LDBjWm6ycx0Y5oe1q1z89lnXj77rOTxmjYNh44uXUIYhnM/JSWq3yKRhFPhkGGaZg5wbRTaIiLV\nmGXBzp2uEiFi8+ZwkNi7t+zJaqmpNl26lO6NaNPGokULG2+x30JpaX6ysoInbUvh4M6srMfJy8sk\nKakzaWlTSwz6rFULunWz6NbNKvHanJxw+Fi3zlMUQpYs8bJkScn3adWqMHyECgKIRadOFrVrR/Y9\nE0l0lb4Yl4hUnYMHM8jKmlbsg/m+Eh/MOTmUCA7FT2ts2+YiP790b4TXa9OqlU3XrsESQaJtW4vW\nrS3q149NLfXrjz6tmSQpKXDeeRbnnWcB4UBz6BAFgcNTEECcILJ4sZfFi8O/Kl0um7ZtnTEfXbqE\nT7106GCRlBSNyqSmO/7/oWX9Hrd7WFU3KyYUMkQSROG0z4MHG/LjjxeyY0d7du7cwYEDWezc2YYt\nW1zs21d2b0SjRhZdu5bdG9GsWcneiHhVrx706mXRq1fJno/9+yk61RI+9eJm0SIfixaF9/N4bDp0\nCIeOwlu7dlaN+P5IdJQ1/XrdujG0bDn7tKdfT558G7fccis9evQq2jZ9+v/RoUNHRoy4qsJtrgj9\n0xdJALYNixb9m3nzXuWzz0YRDPpLPO/z2bRubXPOOcEyg0TdulXU8GqgYUPo1y9Ev36hom22DXv2\nuDDNcPDIzPSQmelm/XoP774bfr3f74SP4r0ehhGiTRsbjyf8V+2aNWX3LknNkpU1rZztj5/2z33E\niKtYtGhBUcgIBAJ8/vkyJk2667TbGS0KGSI1WHY2vPaajzlz/Gza9C8A2rVbzfnnv0OLFhtp1uxH\nmjffyoABP+DRnLCIuVxwxhk2Z5wRYsCAkuFj505XQegIn3opHP9RXO3aNu3b76NFCzdt2w6lQ4eW\nnHPOUvLytKhYTZaXV/ZVN8rbHomLLrqUmTP/wbFjx6hVqxbLli2ld+8+7NjxM9On/xXbtqlfvz4P\nPvhf1KlTh2nTHsM019KwYSN27tzBY489wdGjuTz55BNYlsWBAwe4//4H6NbtnNNuUyGFDJEaxrbh\n66/dzJnj5513vOTluUhKsrn88ncZNuwvdO36RYmFqpKSuipgRInLBc2b2zRvHuKSS0IUzu63LNi2\nzVU05qMwhKxfX5c1a24uen2tWjn06bOQSy75mnHjSOgepJoqKakzeXlrytx++sdMYsCAi/j3vz9l\n8OAhLFz4DrfddiePPfYoDz74CO3atee9997i5ZfncOaZZ3Ho0EGeffYFsrOzGTNmFAA//fQjkyff\nS4cOHfnww0UsXPiuQoaIhB06BBkZPubM8RX91dy+vcXNN+dx3XUBPJ69bN9eejHetLSpld3UhON2\nU3D6KcTgweGejx9+aMSOHW3ZvPks1qzpx7JlV7N06bUsXXot//M/NgMHhhg+PMDgwSEaNaq+C4lJ\n5NLS7isxJiO8vWL/D0eMGMU//jGD887rweHDh0lP78yWLT8xbdpfAAiFgrRs2ZrNmzfTtWs3AFJT\nU2ndui0AjRs34fnnnyMpKYnc3Fzq1KlTofYUUsgQiXPff+9mzhwfb77pIzfXhddrc+WVAW6+OUD/\n/qFivRYnn/YplSs5OZ1WrdbQqtUGLrzwLSZN+i0//dSVL764nS+/vL1oZovHY3P++SGGDg0ydGiQ\nZs0UOOJVWdOv27d/qMKzSzp06MjRo0d4441XGTbsSgBat27D73//R5o2bcoPP3zHvn178fuT+OCD\nhVx7LRw6dIht27YCMGPGX3nkkUdp27Yds2bNZOfOHRUrtIBChkgcOnIE3nrL6bX47jun16JVK4t7\n783n+usDnHFG2R9CpzvtU2Lj+L9qXS5o3/4/DBiQTP36ufz4o4sFC3wsXOhl2TLn9uCD0LNniGHD\nAgwdGqRdOwWOeHP8/8NoLSs+bNiV/OMff2PevPcAuO++B3n00UcIhUK4XC4eeOBhWrVqzfLlX3D7\n7eNp2LARtWrVwuv1MnjwEB5++LfUrVuPtLQmHDx4oMLtgShcu+RU6dolkUnk+hO5djhx/WvXunnh\nBR9vvOHj8GEXbrfN4MFBbr45wEUXheJ+bEUi/uyd2SWPk5+fid9ffu/Sjh0u3n/fy4IFXr74woNl\nOV1UZ50VYtiwIMOGBenc2YrbC8Ml4s++UGXWvmXLZjZsMLnssss5ePAAN954HRkZ7+L3+0/+4nKc\n6NolChnVVCLXn8i1Q+n6jx2Dd97x8sILPlascDofmza1GDcuwA03BGjRoub8JZvIP/tTqX3vXhcf\nfOAEjqVLPQQCzu/4Dh0shg0LMGxYkHPPja/AoZ995dR+9OhR/vCHh9i/fz+WZfGLX1zLkCHDK3RM\nhYw4lMj1J3LtEK5/0yYXc+b4ee01H9nZzv/hiy92ei0GDw7WyAWeEvlnf7q1HzoEH33k5b33vHzy\niZfcXOffSosWFkOHBhk+PEjv3tW/l0s/+/itPdZXYRWRKMnPh9dfh7//vTbLljn/PRs3tvjVr/IZ\nN/j27kMAAB4HSURBVC5A27Y1p9dCoqNePbj66iBXXx0kNxeWLHF6OD74wMuzz/p59lk/jRtbDBni\nnFLp3z9EBXrGRU6JQoZINbBli4uXXvLx8ss+9u4F8HLBBU6vxdChQX0oSESSkymagZKfD5995mHB\nAi/vv+/lxRf9vPiin3r1bAYNcno4Lr44SHJyVbdaajKFDJEqEgzC4sVe5szx8emnHmzbRYMGNvfe\nC6NHH6FTJ+vkBxEph98Pl1ziLAr2v/+bx9dfO4FjwQIv8+b5mDfPR+3aNpdc4vRwDB4cpF69qm61\n1DQKGSKVbOdOp9fipZd87NzpXJCsZ88QN9+cz5VXBmndui5ZWQoYEj0eD/TtG6Jv3xB//GMe33/v\nZsECL++952PBAufm89kMGODMVLniiiCNG+vUnFScQoZIJbAsWLLEw/PP+1i82Eso5CIlxeaWW/K5\n6aYAZ52lUCGVw+WCc8+1OPfcfH73u3zWr3cX9XB8/LFzu/9+m759ncAxdGiwRs1gksqlkCHy/9u7\n9/CoqnOP49+ZzCUhQCwSsQUpWo9LBdTiBRERWkBU5CYIBAPKRUWptYBKvVVRK/UCHu2BqhRFkXsK\nCiIHFIwiCEgRVArLCnoUrRCxBnNh7uePHWjEBEFmMpnM7/M8eWQme++8i8Uy76y99noTaPduF3Pm\neHn+eS+ffurMWrRuHeGaa0L06ROifv0kByhpzeUCY6IYE2TMmCCffOLilVc8LFniZc0aD2vWeLjz\nTmjTJlLxpEqIk05SwiGHT0mGSJzFYrB6dQbPPefs1BgKucjKinHVVc6sRartXyDpo0WLGDfeGOLG\nG0N8+aWz+dfLLzubf23c6OeBB/ycdlrkwKOxp5+uf8tyaEoyROLku2XVnVmLU0+NcPXVIfr1C5GT\nk+QARY7A8cfHGDo0xNChIb7+GpYvd2Y4CgszmDjRz8SJflq0iFbsNhqiTZso335bQFHRxEq1ccZq\nG/s0pyRD5ChUVVbd54vRr1+IIUNCtG0b0Sc9SXmNGsHAgWEGDgxTUuJs/rVkiVO8bfJkH5Mn+2jS\npJQLLiihQ4dczjhjG4HAlgN1WZRopC8lGSI/wKkt8d1PZy5XvyrLqg8ZEmDAgLDKckudVb8+9O4d\npnfvMPv2wRtvZFQ8oRJm4cKbWLjwJn7yk1107TqDSy99Br9/kpKMNKYkQ+QQiosLvlMl8733/Cxe\nHGblykzKy70HyqoPGeKUVXe7kxisSA3LzIRu3SJ06xZh+PAmbN58IW++2ZfCwv7Mm3cL8+bdwumn\nr2X4cC+9e4do0CDZEUtNU5IhcghFRROJxaCw8Ermzr0Va88F4PjjP2f06Mbk5VVfVl0knWRnn8zZ\nZ6/g7LNXMGrU71izpidLlw7jnXe6MXasm7vu8tOjR5hBg0K0a6fbiOlCSYbIIWzYcCx/+cvbbN16\nPm53hAsueIkePZ7i3HNXcMYZXyU7PJFaIzd37IFZP58vSKdOBXTqVEBGxlyWLu3FrFle5s1zvlq0\niJKXF2LAgBA/+5mS9LpMSYZIFbZvd3H//X5eeeUNADp2nMe1195B06bbAfD7WyUzPJFaZ/+6i6Ki\nSZXWL40hJ+dSTj01yM03B1m7NoNZs7wsXuxhwgQ/Dz3ko1OnCIMGhcjPT3IDJCHiUurdGHM70BPw\nAVOstdOqO1al3g9POrc/mW3/6isXEyf6eO45L+GwizZtdjFsWG9atlz7neOaNXsmYYvZ1Pdqe133\n7bfw4oteZs3y8ve/OwunGzWCvn2D5OWFaNUqvXbATfW+P1Sp96NepmaM6QRcALQHOgInHO01RWpa\neTk88YSPtm2zmTbNxwknxJg2rZylS+vRrdt1FTMXHvz+VglNMETSQYMGMHhwiKVLy1i1qpQbbwzi\n8cDUqT5+/etsunSpx7RpXr75JtmRytE66pkMY8wEIAa0BBoCt1prN1R3vGYyDk86t78m2x6NQkGB\nM3X7+eduGjWKMnZskKuvDiWtvLr6Xm1PR8cc04DZs8uZPdtzoL6P3x/jssvC5OWFuOiiuvv0Vqr3\n/aFmMuKRZEwFfg5cDpwILAJOtdZWeeFwOBLzeDKO6meKxMPKlXDrrbBxI/j9cPPNcPvtcMwxyY5M\nJL19+SXMmAHTpoG1znvNm8M11zhfJ56YzOikCglNMv4EFFlrJ1a83gx0tdburup4zWQcnnRuf6Lb\nbq2b++7z8+qrzrrnvn1D3HFHgBNOqB2r3NX3ans6qqr9sRhs2OBm9mwvCxd6KS11fpd16ODMbnTv\nHiYrKxnRxleq9/2hZjLi8XTJW8DNxphJwE+BbGBPHK4rEle7drl4+GEfM2d6iUZdXHBBmHvvDXDW\nWem1yEwkVbhccO65Uc49N8D99wdYvNjD7NleVq3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_option_stats(s_list, pv, de, ve)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Sensitivities Risk Factor 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the **sensitivities for the second risk factor**." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 230 ms, sys: 2.19 ms, total: 232 ms\n", "Wall time: 231 ms\n" ] } ], "source": [ "%%time\n", "s_list = np.arange(28., 46.1, 2.)\n", "pv = []; de = []; ve = []\n", "for s in s_list:\n", " vc.update('gbm2', initial_value=s)\n", " pv.append(vc.present_value())\n", " de.append(vc.delta('gbm2', .5))\n", " ve.append(vc.vega('gbm2', 0.2))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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5Dh4MPw4c8HI4fwNlRK+25SOAYZsMvGsQgweHZ5r06VN78WdhYYw60cQS9Wdf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\nzJ5dyLx5AT791Bt7o0uXGFdfHWb48DC9e8fYvr0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_option_stats(s_list, pv, de, ve)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sensitivities with Negative Correlation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The second case is for **highly negatively correlated** risk factors." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "correlations = [['gbm1', 'gbm2', -0.9]]" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "# European maximum call option\n", "payoff_func = \"np.maximum(np.maximum(maturity_value['gbm1'], maturity_value['gbm2']) - 38, 0)\"\n", "vc = valuation_mcs_european_multi(\n", " name='European maximum call',\n", " val_env=val_env,\n", " risk_factors=risk_factors,\n", " correlations=correlations,\n", " payoff_func=payoff_func)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Sensitivities Risk Factor 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, **sensitivities for the first risk factor** first." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 239 ms, sys: 2.18 ms, total: 241 ms\n", "Wall time: 240 ms\n" ] } ], "source": [ "%%time\n", "s_list = np.arange(28., 46.1, 2.)\n", "pv = []; de = []; ve = []\n", "for s in s_list:\n", " vc.update('gbm1', initial_value=s)\n", " pv.append(vc.present_value())\n", " de.append(vc.delta('gbm1', .5))\n", " ve.append(vc.vega('gbm1', 0.2))\n", "vc.update('gbm1', initial_value=36.)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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MERERiQiFDBEREYkIhQwRERGJCIUMERERiQiFDBEREYkIhQwRERGJCIUMERER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\nhQwRERHJCoUMERERyQqFDBEREcmK/wfYma17FD0DNgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_option_stats(s_list, pv, de, ve)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Sensitivities Risk Factor 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, the **sensitivities for the second risk factor** for this second scenario." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 234 ms, sys: 2.21 ms, total: 236 ms\n", "Wall time: 235 ms\n" ] } ], "source": [ "%%time\n", "s_list = np.arange(28., 46.1, 2.)\n", "pv = []; de = []; ve = []\n", "for s in s_list:\n", " vc.update('gbm2', initial_value=s)\n", " pv.append(vc.present_value())\n", " de.append(vc.delta('gbm2', .5))\n", " ve.append(vc.vega('gbm2', 0.2))" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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7iIiItCUKHxHgOHDqlKdWwMjJ8XLqVO1pI8nJ7lTWYcNsxr77C0acXksa2Qzm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\neCkvD/L3v/+LXbu+AUBeXhUXXbSI4uJ1jB59F92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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_option_stats(s_list, pv, de, ve)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Surfaces for Positive Correlation Case" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us return to the case of **positive correlation between the two relevant risk factors**." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "correlations = [['gbm1', 'gbm2', 0.5]]" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "# European maximum call option\n", "payoff_func = \"np.maximum(np.maximum(maturity_value['gbm1'], maturity_value['gbm2']) - 38, 0)\"\n", "vc = valuation_mcs_european_multi(\n", " name='European maximum call',\n", " val_env=val_env,\n", " risk_factors=risk_factors,\n", " correlations=correlations,\n", " payoff_func=payoff_func)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Value Surface" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are now interested in the **value surface** of the derivative instrument for both different initial values of the first and second risk factor." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "asset_1 = np.arange(28., 46.1, 4.) # range of initial values\n", "asset_2 = asset_1\n", "a_1, a_2 = np.meshgrid(asset_1, asset_2)\n", " # two-dimensional grids out of the value vectors\n", "value = np.zeros_like(a_1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following estimates for **all possible combinations** of the initial values---given the assumptions from above---the present value of the European maximum call option." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 265 ms, sys: 1.63 ms, total: 267 ms\n", "Wall time: 266 ms\n" ] } ], "source": [ "%%time\n", "for i in range(np.shape(value)[0]):\n", " for j in range(np.shape(value)[1]):\n", " vc.update('gbm1', initial_value=a_1[i, j])\n", " vc.update('gbm2', initial_value=a_2[i, j])\n", " value[i, j] = vc.present_value()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resulting plot then looks as follows. Here, a helper plot function of DX Analytics is used." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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4aYrkPCS9rO/3xUoIkE7bM1RKpQpyubTHm4T/MJAbKKXIZlM18VFCLre8b0F4\ntIolee/PBrh3eJjZtWBTh6M+hi90lgY/8lwiWuY7HN8bYxeEMWx+3x2BXzaOzcrOPfd8/P3fPwAA\nOHbsKP7szz6YSAECAJQl6RUQPKtChLiperFfZH5mVPhd747mLqL9zFAJh94vnlRKgarKKJc1aJpe\n+xl4edH5zwmhk4dA50/6ukYcsACQYvLdHK1suO5MGgd0S8KJR38c9TE6sv7XX4nUmVsDv64tQgK/\nrKAGESJk5eOm7NZp+uVV8YfthNhNx1JgbHnZrZ+9vdN9MydR1rJ4S6jIe38R/+ukleKC5NaBTR2J\n+hi+MKgCfnhPolyQY3sBqxjP8BFJqdj0nreFc22PU5IJIb6mi7dj06ZTcM89X+r5sSRBfRVFJJ9V\nIULc4LfktCEkglcCTiWJ3XSsXR+NwbgwLTt2EQUN96O/RNkwIXMTYNPJfnDXKUftgPlH0wiIlZwh\nebol48SO+LogI7e+AcqmDaFcO47hmJWECMcIAASTROW9+2j7vZtzKbr10QjChfF2k2k9M2P2eU3T\n8pgoGx4rJRdEzwyDtZn5kiRMKsM6vDdRLsjxfRzWYinqY7RFGspj4+/8ZtTHEHhElOiuAoLuttl+\nD+8P3HbnW5pL0eMKGLwT0uocNU/nDat1szeRx8Hnp0En9gV+nkgw3PRUiTdVUwZJ0NehWxImHv1p\n1MfoyKnv/i1IawqhXFu4IOEjwjECAP6dEP/zX+y1jDFks2pfbkIQVS5e7zNOmbBhmKG7H14rgPD8\njxP1rrsTRroANpvs5mQWYbAOJssFmToiw4ppQzVl0waccsebUA3pZedXhIgpur0R4RgBgCBEiH8h\n4NVNCEYA9Xej4bwRfimVKtD1eMb3ZaMMfujZqI8RCJwn/2ZV5SkQLaYlrm3QuYQjD8e3L8gZ738H\naEoFyuHMQRJOSPgIJ0QAIIiQjfcSUlm2fwkJAebniwOtcvHydUsSQzbrNEnr/7z+8lDc4cyl4b/8\n4eBm0oSIqeZA5yaiPoYvLBCYRw4kygU5vo/AnF+M+hhtUbdtwaa3vA66Gd4bACFCwkfkhAgAROOE\n2GW3Kliti1qp5O3djFNeHDbNTdLK5SpUVYlEMPXa05nKW5mfA9n7ZKIeep0wmZL4F2uVZkHKycnN\n0S0JJ3bENxdk8/vuAJMlaEaYIsRP6f9KeOWFjxAhq4BBPCj7FTGKIiGdVmtltxUMDWV9vOvwkxTr\n7tyybOeoiW0uAAAgAElEQVR+OE3SKKVIpbxWA3m9uXUPHRFCkM02pvLS538G2UxOAmQnLDkFNns8\n6mP4wgJgHj2cqMfSxMH4uiCZC8/B8KteHLpTIZyQ8BHhGAEA+2FMfQ6UcaNBmsfXNzcd81dmG171\nT7NbUyxWYNTfdcXrxtQs6ioVDTB0KAefivpYwZAZAllMdodUjeVAFvdHfQzXGFzCxKPxLeve/D/t\nIXVChCQfkZgqABBUdUx3EWMPcJM7jK/3U2brPR+l29fd3CK+WCwuWedH+HhPhl0q1Ja6H07+Bzv8\nDIgeTrLeILGYAj51NFEOwlIszmFMHE/U13D8IIU5F88JxflfuRyFay8DEH5LdUqFCAmbpIdjxsbG\nrgTwsfHx8evHxsZeCOBuACaAKoC3jI+Pd01mEyKkhl83oVtehtPC3G461n58/aCGybmh4X7QZS3i\nl3ymp+sHdd5l7oeDZULe9wv/G8QAI12AVJqP+hi+0OU8yOyBqI/hGsNi8e0LQghOrbkgtb8iTFeS\nENL2fuV2raA3SQ7HjI2NvQ/ALQCcd6mfBvCu8fHxX4yNjd0B4P0A/qDbNYQIqRGME7L8407Zba8W\n5n7297e2VRAszVXpvqenLX1gOyiEAJmMCkrbiyR29HmQajz7OvSDRSjo/GTUx/CNMTkV9RH6YuIQ\ngzkbTxdk46+9AhuvuRS6rteaGIpwTNJJuBOyB8DrAfzf2t/fND4+7rR0lgD0rMdfFSJkMK+h1pDI\nIJt4+cN5sDfCGt3dj6Do/4XHuZ0g25ij0+b3m3NI+34ewPmix8yuBZs6HPUxfKFJWWByf9THcI3B\nGY7HNBeEyBJG/+A2GIYBRZGRy2VAKUWhkIOm2aIk6G7FQoSED/GZixgl4+PjD46NjZ3e9PdjADA2\nNvYiAL8L4L/1usaqECFuCKpEt7mMtVRqTuQMb3/O7dit17WSxJBOK8vDGj3w59z0t4YQAkopVFXp\nKpLoxF7QFTDm3gJAVsDXoc8kK5Q0cUiCORvPM69746shbTkFpVJDfI+MrEW5XIUsS8jns5AkCYZh\nQNeNuijx0yfHTzhGlOi6I8nhmHaMjY29EcAfA3jV+Pj4yV6fL0RIjSDCMfa7kmy9jLVf/Cd69gel\nBLJs/wp0G5DXcdcBvUNyEmQBjmKxu0uzUgbVmbl1YFPJnvqrSxlg4pmoj+Eag7PYVsTQdAqn/P6t\nyz5OCEGlUkWl0kjClmWp1itHxdBQDpxzaJpRD+G4fWNkX39wr/NVywrKnRkbG/tNAHcAuH58fHza\nzRohQmr4SZYkhCCdVkEpwcJCyVMow36hDy7RU1VlpFIKTNOCYZix7Cq6NEHWFiKdv1A6eQh0vqfw\nTgaV5Oe0aAvJac8OABOHJRgzc1Efoy0jb/t1yKPrXX2urhstYRnGKGRZruV7pcAYrX+O45Z0Ehoi\nHBM+Cc8JqTM2NsYAfAbAQQAPjY2NAcB/jI+P/1m3dUKE1PDqhDgPc03TQSn1nEsRTMlrbygl9Zbr\nCwslKIrsdVPP7dfdfK9by4NLtXXdv0crJRdEzwyDzRzr/YkxRmdp8KPPJcaQj7MLwtYUsPGdv7Hs\n425fe6ZpwTQbbgkhpO6WZLNpyLIEy7Ka3BIDZq0VvBAh4ZP0cMz4+Ph+AFfV/rq23/WrRoQEXcZK\nqT28zS67LYNz7uuB7q/Xh7uvzRFMzX1KgmjSFiTNOTWLi5X6zbDnurmJxCdx1knQmPtOaGUDJEEP\nrxNHJBjT8XRBNv3eW8EKuWUf997ckNcTWR0kidXcEhnZbAaUEmiaAUmiYIz2vZff8PZqIsmJqUGw\nakRIkKRSClRVRrmstbyQo5vC2/0F3yqY2vcp8bavtxthp6/VGYznJadG3rsyXBDk14JNHo36FL4w\nmQoc3h31MVxjcIrjj8bs90eRcPotL8GGy06H9as3t/0U+zUfzGvZMEwYholy2f67nS8mo1DIIp1O\nIZfLwjSNFrckjiHcJLJSwjFeESKkiV7hBcYYslkVpmkFXnbrp8KlG50EU/O+/t6w+L8RNrsfra3h\nW+nUEI4szoBOJGcwWjd4j667ScAwGWCFN1QtaE4elWFMxaMSSRlZg223vgTrNlHQahGVS64BWCe7\nPrxQiWVxVKsaLCuDubkFGIYJWZYgyzJSKRX5fA4AbxElhhFsefBqgSQ8HOMXIUKa6PbO3mk6VipV\nA6/Fr+2OIFuvN3dp7S6Y/O7raWV9z/7cj/Zfg7Tv5yAxm2XjBVPNgpxMdkjJpDL0vbsSkwtigeHY\no9F31y1cuA1nvOlK5JUiiFkGqoCx+SxYp5zZcY2/CbfuaG4L7ySzluwUrTYJrwyHDx/CP/3TAxgb\nOwdjYxdg7dq+UwQ6snPn0/j85z+Dz372HuzaNY6//utPgFIKRVHwoQ/9/1i7dl3HtaVSCdVqBWvW\nDMM0TUhSfB59qz1sFZ+fRAxoPMwbr2xneqyu2w/Jbi96r4marXv7p+F+dO/Sau87+AoxZ89MRoUk\nSV3dj55UFsGOPh/sASPCZGriX5BVUwZJUE7LzMkMjMmZyPYffeUV2PLSs5EypkH4rD1xAwBnEvRL\nb+y6dhBJo91KdNslvHJOQQjBQw89iCef/FOsXbsOF1xwES677Eq87GUv93yPu//++7BjxyNIpdIA\ngE9/+n/hPe95L846awz/8i8P4v7778O73tW+O/jx48fxzW8+il27xvHe934Qjzzyr3jlK1+DfD7v\n6SxBI3JCVgn9Pmw7T4/ttW7wk3CdMAVjdu5Hf+Ei706Ijbf+JIqiQtf1vnI/2n2P5H2/AOHJj01b\ncgps9njUx/CFRRisg3sT44KYnOLwv/9k4PtSVcbWW16M0QvWQ67MAPrytvbGC64Czw13vc5gRIj7\nPTjnUNUUfvM331r7O8OBA/vx1FO/xJ49u/Cyl73c8zk2bz4Vd931Cdx5558CAD784b/A+vV2ybJp\nmlAUtePaz33u0zjttK147rlnQAjBU089iT17duMDH/iTWCTli3CMoI7jRridn9Juvb8cCa+3bw5K\nCXK5dN/hIv8Jsf2tSadVyLKEalVHuexzyq1WATucnGZY3TCULKTFeOQleKWKFIiWnN4gJ46pqE4M\nbq6NMroG2269Aes2EtBqEai0d2Cs7BD0c6/peb24iZClMMawffuZ2L69c0jJLddffwOOHWskbDsC\n5KmnfomHHnoAn/3s37RdZ5om9u7djT//87/ED37wX8jlcvjIRz6GN73p9bEQIIBITBUipAnOOdJp\nW1F7mZ8y6Ac60JhRAyDWM2qaZ+n00xq+lSXzeQ48CWImPxnOYjLY3Imoj+ELCwTm4QOJckEGVRFT\neOF2nPHrVyKvLIKYJXvAeRf0S14GSL3L/QeRE+KHsHMdHnvsG/i7v/tbfPzjn8LwcHvXSNd1jIyM\nYufOp1GtVmAYBvbs2Y1sNhvq2fqBrIBkdD8IEVJDVRXIsgRNM1pmM/SD/2m2/a1tTpZ1SnD73zf8\n6b2Nc1ag6yZSKcXjfk0iz9AhHXza03XihpEeglSK59RWt+hSDqScnAqlE8dV6CdddZX2zKb/70ps\nfdk5kConQfhMPd+jG+bGM2B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INLsfxWL7WkXv+/q/ATFGa06Shbm5RUwtJjUMsxTbBQn6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\nnM2siL4g5hxIAnwpPjsLOnEg3E0UFeYFV4Pmc2D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nx5HRJNv3QYJmMKoe7vIZtqeUXAvG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\nphtw++234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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, value], ['gbm1', 'gbm2', 'present value'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Delta Surfaces" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Applying a very similar approach, a **delta surface** for all possible combinations of the intial values is as easily generated." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "delta_1 = np.zeros_like(a_1)\n", "delta_2 = np.zeros_like(a_1)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 757 ms, sys: 2.76 ms, total: 760 ms\n", "Wall time: 760 ms\n" ] } ], "source": [ "%%time\n", "for i in range(np.shape(delta_1)[0]):\n", " for j in range(np.shape(delta_1)[1]):\n", " vc.update('gbm1', initial_value=a_1[i, j])\n", " vc.update('gbm2', initial_value=a_2[i, j])\n", " delta_1[i, j] = vc.delta('gbm1')\n", " delta_2[i, j] = vc.delta('gbm2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot for the **delta surface of the first risk factor**." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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bO+AWOOfzGiglPZNe3SfO3o6HyWGyzmlYYaz3RA8AmqakXhgLjKaANUvCCkE3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\nQslJmxK1b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iRJhGEYUBTisklJV9zpARqR0DQN09OV0Ptz+swEQYCiSHAyKLMbaiVdOmtp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\nWyfaMoR9AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, delta_1], ['gbm1', 'gbm2', 'delta gbm1'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the plot for the **delta of the second risk factor**." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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p7FzO8uUrueGGdwHuxVQikSAUCg99r6oqlmWNssps3bqFJUs6WbRosas1GsWD\nRtSzF8B35GINzx+XIsUFpwfGNupmr6oKfr+BoqgMDCSLdkodG/cl+d0Kq1E/q9gf4chrrtb3KkLT\nMZzSWgucjpHqZtYcmPGpd9DbB2/+8imyx09VeYfVZe6V58Op1xq9jbojek6Q+94/4qy7BP2q96D4\nA2OeV6+YlHp1ca7GXG4IhUIkk8N1iIQQZ7iNHn7417znPe+vaH+S0olGoyrwbWANkAE+EYvF9g4e\nmwP814jT1wK3AnePN2Y8pEgpg/EDY+vff8fnM/H7DXI5G0VxXAiUxlpSRDaDePrBxixeQ9SFS1F7\nDlc2RyaRdwW9/3ySaguHt+yg7wXvFYOLrOjE6GnSmijVQAjs55+Ak4fwv+fj2K1nVqutV/fgRhWL\nqxddXWvYuvVJLrvsCnbs2E5n55lxQbt376Kra00DdlcZWqB6hQPrzA2APxaLbYxGoxuArwPXA8Ri\nsaPApQDRaHQj8BXgu8XGjIcUKSUwUcXYSm/25Yw/Pa1Y01RM03S/uEvcvueCIBPP/QYS8epvrIGI\nQASjv3pBsIpjEXK6Wb5pHrnLVnL81RMcefApz7iCZqyaBycmX0ZPuURWnY3vld+SXrSWzPxzGr2d\nquMFkXLJJW/lueee5ZZbPo4Qgttu+wKPPPIQqVSS66+/iZ6eHkKhUFNWt1WMphUpm4GHAGKx2DPR\naHT96SdEo1EF+BbwwVgsZkej0QnHnI4UKRNQSsXYSvvvlGqJKaQVJ5OZodLVlZTbr3zf7sY63cfh\npclX4EybM28o5bjaGKke5i/Umfupd9DbK3jz/q0NdQXNvPxCKVAAY+lyfE4CBQgcfBGt/wTJZRtB\nzz84eDVepF5rVEs0qKrKZz5z26jXOjoWD/2/vb2d73//R1VZq96oevMJq0FagJGdYO1oNKrHYrGR\nT1HXATtjsVisjDGjkCJlHMqpeVJotueWiawShpFPK87lbOLxxCjTbqVru8f9hTH925+BM8kKP02f\nPWbKcbVRMwmmBRrrCtJawoSNBLgLvZlUtHSdjZIdjho2u99E2/YQiejFOKH2hvbtqeYapTQhlLij\nid09cSAy4nt1DLHxIeCbZY4ZhRQpY6CqY5duH5/KLhLjWTQURSEY9KFpGonEeGnF7teuNKvIzVB7\n/yvYe5ukP08ZaMEQSnzsBoO1YKQrKHvZKk7EjnHkV0+CVfubydwr1sPJ12q+jtcJXLABI3tmWpOW\n7iey/WFv/t44AAAgAElEQVSSnRegdJxNbYNavV92X1IcxWhaS8pW8paSnwzGl2wf45z1wNNljhmF\nFCkjcF8xtlK3yZmYpkEgkO+3k0iMX+issWnE5S0sbBtny7012ksDmd+JFj/RsOXNVDfzFxnM/dR1\n9PbCm798kuyJ7pqsFTp7KUb36zWZu6kwTcJzp0Nu7Fo4imMT2vt77GQ3YtXmmm3D6+6eShIKpgpN\n7O65F7giGo0+Tf4X/bFoNHozEI7FYndHo9GZQDwWi4liYyZaRIoU8qm8kYivqBgoRuWBs8OVX1VV\nJRj0jepWPMFo3KcRVxrPUt4YdftT2D2Nu5nXAqHpGPb4RdvqyZAr6AMX5F1BT2yn78Uzi165RlGY\nefYsOFV7t5bXiVx8Kdo4AmUk2uEYYuAU6rKLcPzhCc8vF++LFMlEaGZzuntisZgD3HLay7tHHD9B\nPvV4ojFFmfIipVDzRNcrqVBYmSWlIBb8fhOfzyCdzpLJlObwr0wgVZY6XSqKAj47Q/LZR2q+Vr2p\nRspxtRlyBV00n+zlXZzYfYwjv34KKqxCPPOKC1GkQEFtn04wAJToWVPiJwlv+zXJZRuxpi2o6l7q\nEY8mRUptUdSmtaTUhSkrUs6sGFuZyKhsL/meF6X02xljdRpjScnveyIMQycY9NF/308mXX8eEYpg\nNNDNUwpmqpv5HQZz//I6BuIKr937hCtXkN7WQljtr8EOm4+WizahOKVXdgZQrSyh3U+Qmb+S9KLV\nUEGF6tORlpTmRtGa05JSL6acSCkIk4r66lWRYNCHYRjYtk0iUb7boHGWlOJjRwb99u/djbVjEvbn\nmVW7lONqo6YHaDGh6+YLSBLJu4Je2j3xwEHmXn4enHitdhtsEozOZfgcdwHSCuA/tBNt4CTJ5ZsR\npr/i/XjZ3VOLWL3JiNa8dVLqwpQSKRPVPKkkir0gFkodX7Aw5HIWiUQKv795CrJNNLbw3rJZi4GB\nAcTvfk6tm6zVG3XWfLQmESgjUWyLED0s37yA7BWrB11BxbOCIquWo5+c/A0ES6Fl9TmjUo7dYPQd\nI7LtVyTOuhi7ZWZFc3lZpEhKQ9WkkCvGlBAppWTt5D+ElfTAKG38sIVBHUorriweppGM/oGOfG9D\nQb+7noPjk610uoLm96FkGr2PyhhyBX3qOnp7BG/+cgvZk72jT1JVpi+fDt1HG7NJDxFYf+GYKcdu\nULMpwjsfJd1xLpl5EzcpHI/6pCArMgW5hihSpBRlSoiUUtKKC0XR3D4xlGJJ8fkM/P4z04orNYuW\na8WpDqMXM02dQMA36r2JbBrx+1/Vc1N1QetYhtI7eW7aaibBtCC0f3ADCVo4/PjLxF/OF4icdeWG\npnFp1RTDIDx/xrgpx25QhEPgtT8OVqndAJpR/hx1saS4i3tRFKWi7vBTBbVpH1Lrw5QQKaXgJqX2\nzPFjW1JUVSUU8gOC/v5UDao3VmoFcrGiKMT2KASD/jFTpsWzj0BycgVbCt1Ey1TnadprKLZFmG7O\nungh2SvXcGLvKfxJmc0D0PKWt5aUcuwG89TraMnefJXaYFtZY6W7p/mR7p7iSJEySDWCvMYaX0gr\nTqWyZLNjpxU30pIy1PDPxWBVVYlEgqTTOTKZ7Oh5u4/BtqfK35DHURd2QvehRm+j5pipbuZdtQEc\nh95HfoPTXb3Gic2GNm06gYACNezkoKXiRLY9THLpBeRmLil5nBQQzY9MQS7OlBAp9ajKevqFQtfz\n/XZse+K04sr3V19Liqoq+P0mqqrS358c0zIknvzFpOvPI8KtGH3HGr2NuiDaZ2HYKRQEM97+NuIH\nDpF+Zmujt9UQIhs3odjlpRy7QXEsQnueJtN/gtTidaBO7AZQFKhlWx0pgmqPdPcUZ0qIlFKo3Joh\nBn2w+W7FhjG6W/EEo6mkqFo1snRKvQ4V4mqyWQtNE2MLlP074PXYGKObG23GbJQ6NBH0AsqiTpRc\n/sasOjnaOmaRXvg++n71ICIxOd1dY2EsWYpP1K8nE4Dv6B60gW4S0YsRvtAEZyuUXFXOBZWKFJmC\nPDHS3VMcKVIGqYbLJW89yafe9vWV/uRVjbL67vdemhWmEFcjhKC/P4mi5Mv3nzGbbSGe+qXLvXgX\nZdZ89CkiUJx5i/Hlzvz79atZjOuvpW/7brLbX2rAzupPy5qVFaccu0EfOEXk5V+TXL4Jq33euOfV\n2tIhLSm1R1pSiiNFyiCVCAVVVdB1DUWhxH473qGU9z1WXI2mjXPhevEJ6DtV5V02GgUz4EM0ecpx\nKQhAnzkbcmNbDzQ7Q/s5S0h1dhJ/8H6wSmvf0Iz4111QtZRjN6hWhtCux8ksWEV6YdeYH1QpUpof\nGZNSHClSBnFrjSi4P2zbIZezGiJQCunT1UbTVILBvPWklHL9YqAP8fyjVd9Ho1EWLkX0To1YFDpX\noo0jUAooQNAvMN/7bvqeeZ7c/j312Vs90Q0iC2ZWNeXYDQoC/5vbB6vUXoQwRlsva116oLL55c23\nFKRIKc6UECm1+BCPvIH39ycxTaMqMS3unlrcv8HxxNmw9SRDNntmXM1YwkhsvR9y2TPObWaE4UPP\nTK406vEQmo4eDoBVmslIt9NMu6CL9Nkr6PvVA/Uu1FNTwhe/pWYpx24weo8QeflXJKIXY0dmDL0u\nLSnNj3T3FGdKiJRSEEKgltjQJxAwMc0zb+CVxZVUkkZcvewlTcvHnti2M4H1ZPTr4vABePXF6mzC\nQ6gLlqBOgZRjAJavRi1RoBRQhCAQ1jE/+EG6H30M+2jz/6yUtnaCYQ085rZVs0nCO36DfdaFpGcv\nx7JsKVImATJwtjhSpAxSirunWFpxfnwl1RUrSSOupBPy8PsOBHyYZmlZSSOFkRAOYsu9rtb3MiLS\njjGJKssWQ/hDGLpwnSii5RLMeOtG+g/3kHzit9XdXJ1puegiVLu+GT2loggHPfZ7IgMn0c+9DEXX\nCAT8KEr+M1ttQaGqUqTUGunuKY4UKYMUs0YoikIg4EPXNZLJfL+dscc3No3YLZqmEgiEsCybeDxR\nhjVncNGdz8KJ5n+CPh1t+gyUnqkhUli+EsWuzL2hODYtc1rwve8D9D78EKK3p0qbqx9GRyd+4R03\nz3iIQ3tI9xzHt+FaMEOEQgEMQ8dxHLJZi1wuRzZrYduV1SpSFAXHcSdSZPpxaTSruycajarAt4E1\nQAb4RCwW2zvi+PnAN8jfKI4CH4rFYuloNPoCEB887UAsFvtYsXWkSBlkPEtKoSdNNmsRj4+fVly9\nsvr1HatpKrquDTU7LG9NEJkU4ve/drW2p5m9AH2KCBTRNhPDSU98Yon4SDPzmiuI73md9HPPVG3e\nehBZ24WSa44YJC3Zh7XlJ2SWbSQzbSGQt/YahoFpGoRCQVRVGRItuVz+33IMI9LdU3ua2JJyA+CP\nxWIbo9HoBuDrwPUA0WhUAb4LvDsWi+2NRqOfADqi0ehBQInFYpeWusiUECluPmPFetKMswrNFM2u\n69pQ3ZNUKluWQBmJePZhSNe+Gmc9EYqKrk+dxmhKx9Khwm3VQrVztHXOJb3ovfT96gFEypvuk5H4\nz1uP2SQCZQgrR2D3FtS5UVId52FZYFk2qUFjkKoqg6JFJxwOous6tm2NsrYU6yUmRUrtUUqMhfQg\nm4GHAGKx2DPRaHT9iGNnAaeAT0ej0VXAg7FYLBaNRi8EgtFo9BHy+uO2WCxW9ElmSoiUUhhpjfD5\nTPx+g3Q6SyZTWh2IRhZkEyJ/MSqFfEVc/5D1xDB01/u2TxyB7ZOvVLqycCla39SwojhzO8Ys3FYt\n/HoO48Z30vfiTrK7ttdsnYrRdSIL54xbH8br+I7E0AZOkTjrYoQvOPS64wgymeyo3lqGoWMYBn6/\nj0gkDAhyOYtstmBtGZkM4N7d00wPbY2kWd09QAvQN+J7OxqN6rFYzAJmAJuAPwf2Ag9Eo9HngRPA\nPwL/CiwHfh2NRqODY8ZEipRBCiIhEgkOpRWX8+GsToNCtyNLs+IYhj5UEbfgujIMvaSxY5F4+L9q\n2zikAQjTj5nqm/jESYAA9Fm1vzFrdob21ctJLVtG/Nf3g1VKq4j6kk85bk6BUkDvP0lk269JnnUR\nVuuccc8rCJHk4NvVNBXDMDAMnUDAj6ZpWFZetOi62lTFKZuS5o3diQOREd+rI8TGKWBvLBbbBRCN\nRh8C1gPfHHxdAK9Go9FTwFzgjfEWaVo7U7Xx+UxUVSGTyTIwkCr76aEalhT3GTrF11YUhVDITyDg\nY2AgTSqVGTHWXSyN2LsN68BuF7v1Nur8xShZ7wdOVoXOc+p2Y1YQBIMw473vQV+8tC5rlorS2kYw\nPDme19RcmtDO3+F7c0fJfm7bdkinM/T3Jzh1qpcTJ7oZGMhnL+p63k00Y0Y7ra3hISuspHooquLZ\nrwnYClwDMBiTMtJUuh8IR6PRZYPfXwzsBD5OPnaFaDQ6j7w1pmi/kcnxyayAQlpxISZjrMJlpdG4\nJoHF1h4O/M2RSFQpOFIICOoY130Q69DriD3bob+3OnM3ktZpU6Y/T75wW7Dkwm3VQrfTTN+wlsRZ\nZzHwm4c8UQCudfNmz6Ycu0FBEHj9ZfT+kySXb0ToZ/bYKoYQgmw2RzabwzB0UqkMtm0PuYlCIT+q\nqg5ZZApuIhm74o4mdvfcC1wRjUafJn8D+lg0Gr0ZCMdisbuj0eifAj8aDKJ9OhaLPRiNRk3g+9Fo\n9CnyN66PF3P1ACjF/rBOnOifNH91mjZaBCiKQjDoQ9OG04rb2sL09rrr1aEoCi0twbIaC44kEDBx\nHEb5jkvFMHRMUx8lQvLvz4+qKiST6XFNtj6fgaqqo6wrE9J/AnqGrXMCQNFhYABx6DXYu70pK89q\nHcvRpkhdFKPrAqgw5bhSsmqA3t89hnOsccLQ17mUthWLUSqo2uxlbF+YZPRi7PA0V+Pb21tIJFJD\nPbsKKIqCaepDmUS6rmHbDslkkt/+9nd0dCxm/vwONK2y52DHcfj6129n7949GIbBrbd+ngULFg4d\n37VrJ9/61h0IIZg+fTqf//yX8PnKE2VjMXNmpG4+mKOf+ZBn//jmfO0HDfdFTUlLimkaBAImmUz1\nrAvV6KLsvk7K6LVHv78qiwXHhr7RNxUFQFgQ8qOctQIRPRuEkq+T8dqrcHAPlZTurwtzFk0ZgSL8\nIRyRa7iv13RSzHjbZvrfOEHqqccbsoe289agJCeBFXActMwA4e0Pk+o8n+zsZRMPOI3xsnuEEGQy\nuVGJBbquk82m2bLlCV588Q7S6TSrVq1m1arVrF17HqtWrS57/SeffJxsNstdd32PHTu2c+edd3D7\n7d8Y2sNXv/oVvvzlr7JgwULuv/8+jh07wqJFi8tep5E0cQpyXZhSImWitOLK+udURjkZOuMx8v31\n96eKphaOXLcscdR/HJziLjFFCECgtLXC2vMR524Ay0acPAZ7d8JJb7lUhKpiqB4XUdVk+UrUBltR\nCqiORev8dvzvez+9v/4VIh6feFCV8K9dN6kFSgFFOAT3PYsWP0Gq83wow7pRzvXQsixUVefWWz+H\nEIITJ7p55ZWd7Ny5je9+9zt8+cv/D5FIZOKJRrBt20tceOFGAFat6mL37l1Dx9544yCtra3cc8+P\nOHBgHxs3XtR0AgVAaV53T12YMiLF7584rbiS/jmVU1lpe1VViUSCpNO5Ml1GZaxrWxA/Xvb+FGGD\nBsrs2TB7NopmIFJpnCOvw6vbIOnOxVYt1IXLUHu9JZxqhdM2A7OKhduqhY8MM6+9mviu/aRffK72\nC2oakY65TZty7Abfif3oiR4S0YtxAqWJhbxIKX8tRVGYPXsOc+fO47LLrih/gkESiQShUHjoe1VV\nsSwLXdfp7e1l+/ZtfPrTn2XBgoV89rN/yYoV57Bu3fmu12sEsjJvcaaMSBFCTNAwb6TbxJ1KqcQS\n49ZdVLCeqKpCPJ6obVZS/CiIyspsAwg7B6aG2rEE0bEkH8/SH0e8sR/27cyLoXrhD6Inmq98u1vU\njmVVL9xWLVQ7S+tZC/At6aDvwQcgUzsxNRlSjt2gJXvyacrLNpKbvnDC8/MPbY0rix8KhUgmh39P\nhYwjgNbWNhYsWMDixUsAuPDCjeze/UrziZTmLeZWF6bMTyedztXFjVPP/js+n0kkEiSXs3Ac4bLo\nUomWFCsLAydczF8cBVCEhRIOop69CvW6D6Be/xG4+BpYUPtUVW1eB0rOe5aFWqDMX4LhUYFSQAEC\nhs3Md92IET2nNmtEWghGjJrM3Qwodo5QbAv+114AUdwl3OiKs11da3jmmXzByB07ttPZORxXM2/e\nfFKpFG++mQ/if/nll1iyxFvp7aWg6Jpnv7zAlLGklELlwa+VdDKGUt0uqqoOlbTv788/Zfh87i66\nJYujviP18YMNXjTVae0wbQNi/UWQsxDHj6Ds24noLt/dNC7tM1G7D1dvPo+jzZoDmca61kpFs9NM\nW7uCTDRK74P3V9W61nLxJZMq5dgt/sO70AdOkThrM8IMjHlOo0XKJZe8leeee5Zbbvk4Qghuu+0L\nPPLIQ6RSSa6//iZuvfXzfPGLn0MIWLVqNZs2bW7YXt0iA2eLI0XKCBqfoTPxeX6/ic9nkEplh9IC\na+7TzKUhcaq2a4yDImzQFZR582DePBTVQCQTiMOvw57tkHZ/s9Fb26ZMl2Nl2SqUJhEoBRQE/gDM\n+sD76H7iKaw3DlY8p76wA7+S8nyyWb3Q48fR+0+W5Popl2pcl1RV5TOfuW3Uax0di4f+v27d+Xz3\nu//fuOOrUQm81ijKlHFouEKKlBE0uv9OsbGaphIM+nGcM2Nrat5Buc9D1gYnh+I3UTqXITqXAyoi\n3gdv7IN9u0qOmVHmLUGdIgJFqBp6KAg5b2T0lIuaSzL9ovUMnFxB4tGHK5qr5by1TdPluB5YoXZy\n0xaMeazRVpRq4HWBAjK7ZyKkSBlBY1X3+BeDQMDENA1SqUwFFXFdkk2CR9M08wW4bJSWMKxcg1h1\nLtgC0X0S9u+CI+M8easaOt7rH1Mzlq9GaVKBUkARDpHpQXzv/wC9jz6Kc7L8+Cj/mvOar8txjUkv\nXD3uk1mzi5Rdu3ayffvLzJgxi3Xr1tPa2gZAT083juMwffqMBu8wj3T3FGfKiJTSP2uVxaRU05Ki\naRqhkB/btifMTHLLhHvuPVT1NWuFIhxQQZkxHWZsRihvgWwO7dQxrF0vQbwbALVjOUp387yvShD+\nILoBTJIecaZIM+OKt9L/2mFSv3+q9IGaRnjJvLzolgBghaZhjWNFgeYWKS+//CI///lP6O3tIZVK\n8eKLf+SjH/1TZsyYwb33/gzLsvizP/uf2LaNpjXYkiHdPUWZMiKlFNw22xseX72YlEDAh2nqJJOZ\nUa3T60q6P//VpCjCBkPFmTMXdc5chKIjBgbyFpbuRu+uTixbheo0txXldFQnR+uimYQW30z3/Q/g\nDExcAC60+S3oUqCMIr2oeAXYympGNdY6sGXLY6xYcTY33/wRUqkUX/jCbdx115187nN/O9jtviW/\nSw+4g6S7pzhSwo2gGtk9lf7R67pGS0sIRcnXPSlVoLhdu6iwaiIrSikowsKetYD0ygtIXvEhcsvW\nNnpLNcVpm44hJm96te6kmHn9NQTPK14XQ4lECLWYddpVc2CFp2O1zy96TjNbUkAhl8snFgQCAf76\nr7/I0aNHuO++n5FIJAgGgw3e3zCKonj2ywtIkTKCSgNn81QWwBoK+Ukm0yST6TpVvh2nTkqyZ9KZ\nxoVmYlt50eeoCpmlXSTe/hEyXZtx1Mn3NKN2LB9sUTB5UawMkeULaL3x3WCO3Viu7ZK3oNrN1/Cy\nlqQXTtxHp5lFyqZNm3n99YP89re/IZlM0tLSwic/+b949tnfc889P6Strb3RWxxGVb375QGku2cU\n1bCklD/OMDSCQT+A6y7Kbkv6jynMhIBJWCbe8reANbolgkCQm7eE3LxOtFNH8W1/CjXT/OLMmdOB\nz+OF26qFAgRMG+PdN9H3hz+S2/vq0DFjYQcmk9ea5AYrMhOrfd6E51UiUhr5FC6EYN2680mn06TT\nqSGryTnnrOJTn/oMJ0+exDS9Y1lTGh0T43GmjEgp5bOWP6cykaKWoT4VBQIBP7qukUikCYfHLqhU\n6tqVlPQfReIUWJPrwu7ofmxr7J5NeQT29NkkL3036kAcc8dT6H0n67a/aqPNnjOl+tIA6HaaaetW\nkVwepf/hB8FxiMiU4zMoxYoCzWtJURQFx3G46KKLAdi9exeZTBq/P0Brayvf/OZ3hoRLOdfrmiGz\ne4oyZURKKVQaOAulu4sMQycY9JHNWsTjicH1G9ngcBDh5KvLTjJsXyRf2n9CBE44QnrD1SiZDL7d\nz6EfPVDz/VUTZ/HZ+KaYQCmgIAi16Jjvfz/J14/IlOPTsFpmYbXNKencZhUpMGzJueeeH/L001vp\n749j2xa27XDs2FHuuut7dHYu9USxt2a1pESjURX4NrAGyACfiMVie0ccPx/4Bvkn/6PAh4BssTFj\nIUXKCKpXFn98FEUhGPShaSoDAylse2RuqPuy+lX7sPWfALuYxaEJ8QWxSxIooxE+H+k1m1FWbcI4\nsBNz30s12Fx1EaqG3hKedJawcjHsFPGLbkQ7soPwyaLXwClFqkQrCjS3SClcD3/+85/wN3/zZVat\n6gLAsixyuRx+f9693miBAk3dYPAGwB+LxTZGo9ENwNeB6wGi0agCfBd4dywW2xuNRj8BdAArxxsz\nHk3706kFlVecLT7eNHVaWoLYtkM8njxNoFQrcLd8hgSOY0P8WP03UGNsX2lt6cdDaCrZZV0MXPlh\nMl0XezvIdvlqtCkuUADi05aRUwyOzzuX3vmTO4urVHKts7FbZ5d8vqoqTZuCXHDjXHPNdWQyaU6e\nPEFPTw/pdNpTmStA/qLv1a/ibAYeAojFYs8A60ccOws4BXw6Go0+AUyLxWKxCcaMibSkjKI2KciF\nrB1FUcawnow1vkGWlPgxcCZXJVbHDJHLVOmmrUBu3mJy85fg7zuJ+sLjngqynWyF2yqht7Vj6P/d\n05dj+cPM2FdG8bdJSKmxKAUUBZed1b3DnDlzueOOr7FqVRfBYBBV1bBtm09+8n95J3i2Sd09QAvQ\nN+J7OxqN6rFYzAJmAJuAPwf2Ag9Eo9HnJxgzJlNKpExkqSjFXVMupmkQCJhkMjnS6dqmQbrVKEIA\nTg76q9hh2CNYeqD67ishSLdMh6Eg263ofeWXaa86k7Bwmxvi05ZiMfrCHw/NxVpxJbN2/wZ1CnYX\nzLXNxW6ZVdaYvLunuRXvd77zLT760T8lEAiQzWaxrByZTAZd986tr4ndPXFgpJlaHSE2TgF7Y7HY\nLoBoNPoQeatJsTFj4p3flAeoZoNBVVUIBvPWk/7+FI4z8Ye90kaB7gWWQPQezQfNTiJsXxinpvE1\nhSDbq1AyGczY8xhH9tdwvfFxWqdjTuLCbeXQ27p4zNeTZitHVl7LnN0PoU22uKsJKNeKAu5jUrwQ\njFpg5coubrjhXd7I4hmP5i2LvxW4DvjJYHzJ9hHH9gPhaDS6bDAw9mLg34B9RcaMiRQpVaQgcnw+\nA7/fJJ3OksmUfjGsrKy++7F2Jp0PmJ1kWJq/bkHAwucjs/oicqs2oe/fUfcgW3XxcpQpUhelGGNZ\nUUaS0fwcOuda5r76KEZmamT+5NrmYUfKb6aXT+VtXqtTLpfDti2++MXPceGFmwiHIwQCAcLhMGef\nvbLR2xuiWbN7gHuBK6LR6NPkn5A/Fo1GbwbCsVjs7mg0+qfAjwaDaJ+OxWIPDmYEjRoz0SJSpJxG\nJWnA+SJ9Koah09+fdPEBr767qRQyxw9SlfoqHsL2tSAa8LTsqArZZV3YZ63FOPIa6vYnUW27tmvO\nWTRlCrdNxHhWlJFYis6h6JXMe+1JzPjkc3GezkQ9esajmbN7IJ/JY5o+TNPHE0/8jnQ6TV9fHz6f\nj7vu+p53LD5NWiclFos5wC2nvbx7xPHfAReUMKYoUqScgbs0YL/fxOczEQIGBtzFBVTeoNDF4GwK\nywvxFFVEAJZmgN24IGDbsbFnL0SZ+yF8fafQXnwcJTVQk7W02fNAihTi7Z1FrSgjcVA5vOQtzD78\nAoET+2q8s8aRa5+PHZ7uamxlIqXxN95AIMCXvnQ78XicVCpJKBQmHA4PHfeEQIFmdvfUhSklUkoR\nAYWbfakfTk1TCQb9CCHo70/Q0hKqYH8NUPZ9h+u7Xh1w/G2IBgqUkQjHIR1ph0tuQk8NYG7fitpT\nvTRvZ/EKaUUZpLdtSVnnOwKOzj2P6UaQlsMTusabDoF7Kwq4FyleSfHNZDI88cRjPProQ8TjcTRN\n49xz13HzzR/xVIPBJs7uqQtTSqSUQjnWjLz1xCCVypDNNvamWG5JfgAyA5Dqm/i8JkIAtqaf0aOn\n8QisQAjrgitRshl8u59HrzDIVqgqektkyhduA+gvw4oyEgGcnLGCnC/M9AO/r/7GGkhu2kLs0DTX\n4xte/doljuOgqioHDuznpz/9EZ/85F+wcmUXx44d4cc//gHf/e53+NSn/mrovIYjLSlFkT+d0yjF\nmqFpKi0tQTRNJR5PVk2gVGpJKXto7+SzohCZjuM5gTIaYfpIr76IxOUfJLusgkJjsnDbED1lWlFO\npy+ygGPRyydNiRkBpBd2VTRHs8akFISHaRp0di7jvPPW4/P5WLRoMddddwNHj+bbfnjmvamKd788\ngLSknMZElpRAwIdp6iSTGXK5M8VJue6i06kkJqUsP3CqL29JmUQIRSFreeTCUwJCU8ku7SLb2YVx\n5DWMV54uOchW+ILohpqvEjzF6W9f4sqKcjoJXzvWymuZu+sh1CYvaqjNW8b0xZ1kszmy2XwpeMsq\n72+lWbsgHzz4Gk8//RQDA/289toB/vu/f0pX1xosK8eTTz7B4sVLGr7HUXi5grUHkCLlDMa+2eu6\nRhVS8+cAACAASURBVDDox7Zt4vHkuB/eSrKD8gLHnXGrrKBbISalFcUOtCNqnElTEwqVbOctITDQ\njfLHx1DTxeNMzHPWwhRJoZ2InrbOqs2V0QIcWnktc2K/wcg2Z6yPQKF31gqU7jimqWMYBqFQAFVV\nyOWsQeGSG/MhayTNaknp74/zzDNPM23aNCKRCA888AueemoLp06d5OjRw9x880cAL1lSpEOjGFNK\npJTyNzmWy2Ui68lpM1RQ2r5OvXuSPZCbXJVJhaJiNXFNhzyCVLgd3vIu1EQcc/vYlWydlmmIbMID\n+RONp7+tOlaUkeQUg8MrrmLuvscxE6eqOnc9yM1YhBNsBdsmlbJJpTJAvsCkYRiYpkEkEkLX9aGG\ne9lsXrx45sZdAatWreab3/w2mUyaVCqNaZpkMhkMw8Bx7KFqs5pXAla9YtHxKFNKpJTCSKFQsJ5Y\nlk08nihR5FS0Om5T90qNZ1FVBdF/dJJVRclbURqZclxdBE5osJJtNpuvZHt4OE1WXXwWitWcT/nV\npre9sliU8bBRObT0rcx+4zmCPQdrskYtECjjVpd1HEEmkyWTGW7PYZoGhqETDPppbQ3jOM6ge8hq\nWsFSCIiNxXZz//330draxrRp08lmM5imjzlz5tLVtZqZM8trE1AzNHkbLob86ZxG4WYfDPrQdZ1k\nMl2WL7ey0va1FdWBgA/Rf5x0dnIFWwpVw5qksRnCNMl0bSJzzgaMg69gxE9iSoECQH/bYnI1vIQJ\nFI4uvIAZvhAtR1+p2TrVJDdzMU6gpeTzC66fRCJvWdV1DcMw8PkMFEVh5sxpg5aWvHtoYksyNLpG\nSkFcHTz4GgcO7GfNmrWEQiH27dvD/v178fn8/O53j/Anf/I/WLZseUP3CkhLygRIkXIaqqpimjqZ\nTI54vPybQV5o1NYaUu5YTVMJhfxYuRypY6+7mt/LWP72upW/bxiaSq5zFceZyfxjz+LLxhu9o4bT\n2169WJRinJy1EssXZtrBP9RlPbcIFNILKsvosSwby7LJZrPouk53d99QXEsg4EfT1CGxUhAuXrW4\nvPpqjPe//4NcfvnbAbj++pv49rf/XzZs2MT27S/z4ot/9IhIkTEpxZAiZZBh64lGNmsN+XHLpzEf\n2PGsMIVaLslkhtzJNyfdzVyoOvakcfMUJ62G6bVb6J99GYv7XqA13jxuiGrT39ZRUyvK6fS2dmAt\nDzFrz2N1W7NcsjOX4AQiE59YAoWgWcdxSKezQx3cFUXBMHRMMx+MaxgGtm2TzebYt28fiqJVxY3i\nOA5f//rt7N27B8MwuPXWz7NgwcKh4/fc80Puv/8XtLW1AfDZz97GokWLR83h8/nYtesV1q5dh6Zp\n+Hw+jhw5jGVZJJNJD7l7PBIb41GmlEgZT/DnfbK+IXFSSRvvWllDShjNSDNrwXpi204+G8nOQbx6\nlU69ghVo82DhttrQS74wly1U9rWsY65/BnOP/7HBu2oMve1L677mQGAG1jnXMGfXw6jCW+5FoShk\nKqyLMpLxMnuEEEMuogKGoWMYOo8//hg//vGPME2TVavWsHr1WlavXktn59Kyi6Y9+eTjZLNZ7rrr\ne+zYsZ0777yD22//xtDxWGw3f/3XX2TFirPPGFsIiL322uv5z//8Hnff/c8sXNjBSy+9QEdHBwMD\nAxw9epgNGzaVtadaIaS7pyhKMVPdiRP93rTjVcBI/VGwnmiaSiKRxradwacEnUTCXdxGIODDcZyy\nuh8XUFWVcNhPPJ4se6yiKLS0BOnrS4xdCbfnEPRPLpEiNB8Z3d/obdSFjBrisD3njNdbRS+LDz+O\n5rGbZi0ZaFvE8fYVDVvfcLLMiz2C5qEMucyspaSWbajafAVLSU9PeW5FIQSHDh1i+/YdbN/+Mtu2\nvcTHPvY/uPLKq8ua51vf+gZnn71yyFVzww1Xc999vx46/sEPvpslSzo5deoUmzZt5sMfHt1Mt/DA\n19/fz1NPPcGxY0dZseIcNmzYxKFDb2KaZlFLysyZkboph9RjP/TsfTbw1g82XEFNKUvKSExTJxDw\nkcnkRgmSSqu+VtMa4mZsJBJECDG6louVhYHJ1+3V8rfk39sUoJexm8T1KW3EFlzD0mNPTJk4lZ72\nZQ1dP6eavHn21czd+xhmsqehe4F8+n16waqqzllJ356FCxfR0bGUa6+93vX6iUSCUGi4GaCqqliW\nNWTlvuyyK7nppvcSCoW47bb/m61bn+Siiy4+Y/+RSISrr7526HUhBPPnL3C9r1ogZDG3oky5iB1F\nUQiHA/h8JgMDqSFfa4FKAl8rpZLsHp/PRFEgk8kxMJAafYGJH23OJhxFcHQ/9hQRKBklSNI2xj2e\nFia7Z19GX8vi+m2qQQy0LqprLMp42GgcXnYZqbbG3/Cys5Yi/OGJTyyDRhdyC4VCJJPDFmUhxJBA\nEULw3vfeTFtbG4ZhsHHjZvbsiZU0r2eqzI5EUb375QG8sYs6oap5l4hl2fT3J7HtsTp1VPbBrHdM\niqqqRCJBdD2vxkf6igHIpWHgpKv9eBnLV92LspfpVca2oowkH6dyHkdmra/DjhpHz7TGWlFG4qBw\ndNFG+mc3zvVUCysKVCpSKhcCXV1reOaZrQDs2LGdzs7h33sikeAjH3kfyWTeWvzCC88RjZ75Oyhc\nSx3HwbLybu9s1oMPNori3S8P0PhHkjriOIK+viTFhEjl7p76/W59PgO/3ySVypLN5mhrG+PG3Tf5\nyt87RtDzTQSrRVYJFLWijEbhiNlBcn7bYJzK5Mp68ooVZSQCODG7C8sXov31+gcxZ2cvQ/iCVZ83\nL1KqPm3JXHLJW3nuuWe55ZaPI4Tgttu+wCOPPEQqleT662/iz/7sf/IXf3ELhmGwfv0FbNy4+Yw5\n9u/fy7PPPoMQDqFQGCEEAwP9vPe9N2OaZgPe1diIJs3uiUajKvBtYA2QAT4Ri8X2jjj+aeATQKFs\n9v8Ri8Vi0Wj0BaDgmz4Qi8VGBxSdhrc+8XUgL0KKHa9UZFQSV1IaqqoQCvkRAvr7kzgjysGP6huU\nTUKyt6Z7aQSWGZw6GT3KdMr9e+pTWoktuJrOY1vwZ/tqs7EG0DOt/hk9pdLT1ollhpm594m6rSlU\nrSZWFChcRxqnUlRV5TOfuW3Uax0di4f+f9VV7+Cqq95RdI6vfe3vaW+fzrZtL9HVtfr/Z++9oyQ7\n6Dvfz40VO0x3T57R5LmjkQYhaSQkIZAxCLBJQl7WrB7mGBbb2MYGr5d9GO8eds87j4e9hLUfcBY2\nwC54vWuvkXgYIcsEoYQklDWM5s6MJmhi93SqXHXj++N2dVd1V87hfs7pI3VV3TDVN3zv95fQ9WOs\nX7+B97//A+3Y5cbpkbBKA9wFBHVdv1XTtFuALwCFiUg3Ah/UdX1ZvWuaFgQEXdd/qdaN9O230y56\nwUmptHwgoDAyEsYwLJLJTJFAWTMJeQCHCBIaHRoXxRSCpOzGnviyroq+8ZeJjbanbXynSY1tx6RW\nR6k7JMIbuHT1r+B06KZjbz2Aq4basu5Gwz11T2NvI4uLi3z2s/+ed7/7vXz845/k29/+W1RVbarF\nRDtwRalnf6pwO/AAgK7rTwCrY803An+iadqjmqb9ydJr1wFhTdMe1DTtx0vipiK+SGkxragOKnWS\ni6KX8KuqColEumSJc5FAyiYgO3jVHtaQlBwDLApTNHPB9/JUrh+IPJX4lNbtXaiJjBLl4jXvxFba\ne5y6koy1o3V9UVbT7cTZZjEMg7Gxcc6fP8fGjZt46KEfAhCP956z6Apiz/5UYRQo/EJtTdMKFeD/\nBD4K/DJwu6Zp7wTSwOeBty2991erllmDL1JaTLPVQaWcGG9qaRjTtNaEd1YtzfJNbQBdFDswimU0\n2gm4vzCFAMkGXZRivDyVMzvehi301hNkraTGtpFx+udSZYgBLh58J2ZovG3bEK66Bldpj4sC/S9S\nAO6445f50Y8e5NCh63j00Yf5u7/7X4yOjnV7t9bS7eTYxhNn40Bhi2NR13ULQNM0AfgPuq7P6rpu\nAN8HrgeOA9/Wdd3Vdf04MAdsrrSR/rxqtZm8G9LYSdrsiZ0XGt4+RCLBpaZEGRynVDVSwZJ5gZNe\nBGOwhtC5gCUpAzTpuDIxcQqc1tnm83aUzPZ3sGv6pwRz/ZWntLCuB+ar1InpClzcfycbTz9KMH6p\npet2RRlhz/W4VvtERLere5pFVVXe9KY3Y1kW27Zt59d+7Z/ywgvP84lPfLLbu7aGPu6T8hjwLuBv\nlsI2LxW8Nwoc0TTtaiCF56b8V+DDwCHg9zRN27L0uYonSP88nrSIWs67ZvJKWpXToqpyUbl0NYFS\nuPxAVvQEx3CHRKBYqCSsQMvXm3Fk9A1vYnGsf/JUshNXYQi9nYtSDtuFSztfT3J9a8umc5v3IwbD\nbXU6mmnm1s1eJJlMhqeeeoJ//McH+PrXv4osK5w6dZKbb76Fu+9+H3//998FupsUvIZu90JpvE/K\nvUBW07THgS8Bf6Rp2j2apv22rusx4NPAT4BHgF/oun4/8F+AcU3THgX+F/DhvPtSDt9JKcGK0Ggk\ncay5xFnXdQmHvXh2Mpkp08ul/LKk5rzeKAOEC1iCDANWUluOmDQFVnsu9LYrcmrkejYFptgy8/O2\nbKOVLE7shz7u+O8iMLP5eqzACOPnn2t+fZJMbstBIm0Ox4hid0uQGyWbzfDss0/z8su/4Pnnn0WW\nZbLZLILgJdKOjXkhuGYfJluJ2wPOUyPouu7g5ZUUcqzg/W8B31q1jAHcU892fJFSlsbb0zd68CuK\nvDyFOZ2uX2g4toOzcKGhbfcyTmgc1xkOgeKIKgmr3cnBApfVq0hvG2fXhZ/0bD+V9OhW0vZgmL3z\nE3uxAhGmXnm0qfXkNmu4SqC41UAbEAQq5L71LuvWTfDRj36MY8de5sUXn+ctb3kr8/Pz5HI5QqEg\nO3Z4LmK9Aw/biSv6t+FK9M5fqoeo1kul8rL1L5PPPQmFVCzLxjQbu2lYi5cGbpaNi4A1RIdpSt3U\nsSerOKMc2/arZAPtS/BshoXJ/d3ehZYSj2zm8oG34jT493UlhdwWb+pvo05vrTSTk9JNh+KVV07y\npS/9OUeOvEA0GuWFF55jYWEeSZJw3V6t7hF69qcX8CVcCTppBSqKTDgcwDC8QYfhcLAxgeTYGLPn\nW75/3cYOjeM6fez314GNzHy2s/kXOVdB3/AmdsRfYDx2qqPbrkRqZAu5Hu+L0ghpdYxL17yTTcce\nQLLr6/eT23wAV87nKrU33NOv1T2GkePcuXNcunSRZDKJ4zgkEnFyuRzT05d5+9vfwZ/+6b8tGlbY\nbWoo9R1qeuOv1EHanThbuHylbQkChMNBJElalXvSYDOk+PTAVb64gkgbCxh6jpi0nm5Etbw8ldey\nKTDZM3kqg+aiFJKTglw4+E42H/8hSi5R0zKOrJLdsjKfpv3hnv4UKVdffQ1f/OL/u/x7Op0mHF47\nNqBXBAr0dXVPR+idv1QP0byTslJGXApFkQiHgxiGRSpVXCrciEAyLHhidg8TgW1MSvNMWhdR6f/k\nWTu0buCEVzlsZOJW+/peVCefp7KOXRd+3NU8ldTIFgyhd2artANLkLmgvZVNpx8lmJiu+vnc5gMg\nr3wn7RYR/SpSHMdBFEVmZ6/w2GOP8L3v3ce73nUXU1PrOXv2DPfc8xvd3sU19GvibKfwRUpJmmvt\nXM5JEQQIhYLIskQqlcWy1oYxGhFIZ+ZVMqbEBTPMBcLAVkYDFlNKginhCmP2NGKfnQeuIGHVWHY9\nCMSlKdw2VfTUtR+McGzbr7Jn5hGCuYWu7MMguyiFOIhc2vUGNlx4lshc+VCbIwfIbenepOX66P4x\nDPDjH/8js7OzbN26DdM02LJlK9/+9jfYuHETb37znctiphfwwz2V8UVKCVpRRrw6sU2WJSIRzz2J\nx1vXaC1nCbw6vzp2LxDPKcRzE5xiAlncz0Qww5S0yJR7iZDb+43erND40LgojisSt1o/ybZRcq7C\nsQ2/xI74i6yLvdLRbadHNg+8i1KIi8D01huZDEQYu/hSyc/ktlwN0so57rso5cnv9+nTp3jLW97G\nxYsXyGQy7Nq1m4MHDzE7O9PlPVyLK/jhnkr4IqUErus2rbIL3ZBwOIAsy2Xdk2a2fXpOwXYrKyrL\nEZhJh5khDGwholhMBZJMCbNM2JcRhd5yLFxRxh6SZFmAuLwepwdclEIcV+T0yHWkA5NsnXmqY9ud\nn+yPGT2tZm7qAFZghMnTjxe97sgBcpuLv5NOlB/3qUZZZvv2qzhxQueFF57nNa95LYuLi1y6dJGD\nB6/p9q6toVeqaHqVofOZOpM4621EliVGRyMAxOOpqgKl3m3nTIFzC/VXQKRMmbPJcZ5J7OXHmdfz\njHMz55UDpITRutfVDqzgeP9fJWvEcUVidqTbu1EGgWl1Oye3vbUjc3/S0U1D5aKsJjaylWntTgof\nGXJbD4JU/N37Tkp5JMlzJe6665+Qy+W4cmWGV145wb/6V59g585d3Hrr64Ee65PSA4MEGxww2BF8\nJ6UErZhkHAioyLJYk3uyamlqjeuemlNwqrgo1bBdgdlMkNlMENhASLGZUlNMibNMOJeR6WzIxZVU\n7CEJ8wCk1A04Rm8/SXUqT2V+ql/yLtpHKjCO+5p3s+EX94Mok9u0Nj+nl0VKt7u4Xrkyg2EYhMNh\n3vve93HNNYc4f/4cv/7r97Bz524UpffK2h0/3FMRX6SUpPHEWUmSkGUZx7GJx1N1GwK1OikZU+D8\nYutPuIwpcc4c5RyjiMIuJkIWE9ICU0wz4rQ/kdIKjoJVX/+IfsVxRRatXnVRiml3nsqwuyiFpAlw\n+dB72MIikxumMAwTwzAxTXOpC2zvNnLrNg88cD8XL54nEomysDDPxo2bGB9fx8MPP8TDDz/E3Xe/\nj3XrJrq9m0X44Z7K+CKlBI2Ge0KhAKoqY9sWhmE3GLGozcU5Nas27aJUw3EFZtMKs2zgOBsIyA5T\ngRRT4jyT7iUUt7XdbR05iD0kAgUgIU1Sl8nWZZbzVIJTbJ1+sqXrXvBdlCJyrshCeCNqPImiKIRC\nQcbGojiOi2VZCIKAJIl1zfaqlX4WKfv27WfLli3cf//fY5oGmzZtxrIsjhx5kfn5ed71rru6vYtr\n8EuQK+OLlBLUG+6RJJFIJIhtO8TjaYJBta1t9dOGwIXFzv/pcpbIBWuEC4wgcBVjAZOpQIL1XGHE\nmmkqjwfACkSHxkVxXYg50W7vRgMITCvbSG8bY3eL+qlkopvI+S5KESFVQhAETNPCNC3S6Qzg5bmF\nQkEURWZiYgwAw7CWnZb6QsulaU6kdPeGe8sttwFw773/my9+8cuoqndc3XPPb/CJT/xeT4ovP9xT\nmaEUKdWcknqclGBQJRBQSKdzyzN3mslpqWXZU7Nq19W3i8BiTmUxN8lJJlGk/UwGMkxJC0w5lwiQ\nqWt9jhLGGRKBApCQp7Ct3khMa4TEUp7K7iuPEcrONbWu+anhrOgphyhAQC59bFiWjWGYSJLI4mIC\nSRJRVQVFUYhEQoiisBQesjBNs6E5YP3spNi2vZw8+9BDP+b6629AkiSy2SwLC/MEAu0e3lk/vZKg\n2qsMpUipRi1CQZJEwuEgjuO5J6tP6mZchUrLpgyBi7He+7OZtsjldITLRICtjKgWU2qCKWGWcfty\n1WZylhKGOmeZ9CuuC4v2SLd3o2lyroK+/g52p3/B6Jze0Doy0Y3khED1Dw4ReRelHJ6I8P7fth0y\nmRyZTA4AURSWRUsoFEWSREwz77R4/61GP5cg5wXKBz7wm3znO3+Lrh9FVQO8+OLzvP3t72R0tDcq\nGAvp9gNnr9N7d7ueoHLibN49yWRyGMbaJxVP5DSmjj2xU37br1zpvotSHYGEoZAwJjjNBLK4j4lA\nhil5kSn3MiE3WfRpR43gDIlAAUjKk33tohTiuAInQ9eyYeM6tk0/UffyfkVPMZIooJZxUfJ4IqK0\ninAcl2zWIJs1lj4roKoyiqIQjYaRZRnLWgkPGYZV4gGrMSelmenxreaWW25j7979nDhxjGw2y9vf\n/g527NjZ7d0qSb+GezRNE4GvAtcBOeAjuq6fLHj/j4CPAFeWXvod4ESlZUrhi5QSlAv3iKKXe+K6\nbkn3pHj5RsM95Z2UZE7gUrz//mSWIzCTKW4mtz6QYr00x5h1EVsODZmL0ntPc80yo2wls+1t7L74\nEySntoRq30VZSzUXBeoTEa7rksuZ5HLm0rKgKMrS9PUQY2Mytu0UiBazr3NSCpmammJq6vZu70ZV\n+ri65y4gqOv6rZqm3QJ8AXhPwfs3Ah/Udf2Z/Auapt1dZZk19N8dr0usuCdGVcu0uSeK8k7KyStq\n2ff6iZQpkzLHOMMYEWU7QdNgb+QcQSHX7V1rO0lpEsseDBdlNQmivLz1V9g98yjhXPU8lflJ30Up\npBYXBfIPQI2JCNdluaQ5lfLyxhTFc1qCwQCjo14yt2XZhEIBDMNsSwWRzwpum6s028jtwAMAuq4/\noWna4VXv3wj8iaZpm4Dv67r+/9SwzBqGUqTUkhib/4wgrLgniUR6qU9B1S3QqJgot2+JrMh0YvD+\nXOmcxMV0lLOLB9izLs7u0HlUcTBdFdeFmDt4LkohhitzfP0dXJV8iYnFE2U/l4lsICf6LkohYbV2\n27+VOSMrFUTe76Oj0aUwkUo06s2Uqr2CqG9vuF3DoT/DPcAoECv43dY0TdZ1PZ8D8T+BrwBx4F5N\n095ZwzJrGLy7XsvwusYGAgrZrLFsl9a0ZJNt9UsxKC5KIRHV5eK8d4LajsDxuTFOSyPsm4ixM3ge\nWeijJiI1kJLWYQ6oi1KIg8CZ6CHSgcmyeSrzU1d3eK96G1kSUGpwUaAz1TeGYSwn49ZaQSQIQtMd\nZx3H4Qtf+BwnT55AURQ+9al/w7Zt29d87s/+7P9mdHSU3/3dP2hqe71A7+cYliUOFFYAiHmxoWma\nAPwHXddjS79/H7i+0jLlGPwrZgOIoneyKYpMIpGuS6BA8231VxPLiMwkB09P5kq0gzdtkaNX1vGj\nS9dwJrcde0AOUdeFRXes27vRQQRmlK2c2PY2bLG4B0omst53UVYRqsNF6XRb/HwFUTyeZHZ2gdnZ\nBbLZHJIkMjoaZWHhCn/6p/8n/+N/fIvnnnuGXC7b8LYfeeQhDMPga1/7Bh/96B/w5S9/ac1n7rvv\n7zh1qmKuZV/hIPbsTxUeA34VYCm/pHCM9yhwRNO06JJg+WXgmSrLlGTw7nxNEggoBIMqjuOSTmdr\nDO8U04oBhYUXCs9FGSxCssPlxfIX5pwl8uL0JCfVdWjrZtmmXuyZyoFGSMvjmFbf2roNs5yncuVR\nwkv9VHwXpRhFElCk2sV4Z0RK+fdXVxCNjk5w113v5cUXX+RrX/sKp06dZM+efbzpTW/m13/9/6hr\n2y+++Dyve92tAFx77SGOHXu56P2XXnqBo0eP8J733M3Zs2fqWnev0sc5KfcCd2qa9jiezf8hTdPu\nAaK6rn9d07RPAz/Bq+L5ka7r9y9VBBUtU20jvkhZQhQFwuEggiCQSKSX/78xGs9JgRWR47qwmBGZ\nTQ3enylXY0f9tCHy3PQGTgYm0dbNsFmZ7kuxsuiMd3sXuobhyhyfuoOrkkcImwvkxN5rqNVN6nFR\noP19TCqVOJdCkiRuuukWbrrpFn7rt1RyuRxHjx4hkYjXve1UKkUkstKJWRRFLMtClmVmZ2f5xjf+\nE5/97Of58Y//se519yr9Gu7Rdd0BPrrq5WMF738L+FYNy1Rk8O5+NbD6/FNVhVBIJZs1yS3dPdtV\nRlzjGsgPERtEFyUo20zX2dY/kZN4+vJm1oU3cGDdNOulmTbtXetJi2MY9vC5KIV4eSrX4mZzrGMw\nE6MbQZVF5DpcFOj9KcjBYJAbbqhatFGSSCRCOp/BiyeWZNm7VvzkJz9kcXGRf/kv/5D5+Tmy2Sw7\nduzkV3/1XQ1tq1eoIawy1AylSMkjCAKRSN49yeA4haV2jZcRN5uTkhc582mRuYF0URr/bhbSEj9L\nb2EyPMWB8UtMyu2fzNwsi+7wuiiF2LbEz16Z4Kopk4ObF5ClPm1r2kLqdVGgt0VKsxw6dB2PPfYI\nb37znRw58hK7d+9dfu9973s/73vf+wG4//7vcfbsmb4XKNDX4Z6OMHh3wBpRVZlQKEAuZy7HVgup\n1vm1vXgix3dRyjOXVnksvYMN0U1cPXaRMSlWfaEukBFHydlDe5oV8eqMjIvA2VmVZG4Dh3fOo0rD\n66qosohUbV5ECVqZlF8KUeyeSHnjG9/Ez3/+JB/96IdxXZdPf/ozPPjgA2Qyad7znru7sk/txunT\ncE+nGMqrZyAgEwioJJOZso2K2lFGXCuuC7NJkYX04IUImnFRSjGTDDCT3MXW0QzayHmiUqql62+W\nBdZ1exd6AsOA8/Mrl5u5hMBPXl7HzbvjrAs3Xg3SzzTiouTpTSel+XNbFEU++clPF71Wqp39IDgo\neRzXD/dUYihFSi5nYVmVp4M2H7JxGz7ZXdfl+LTS8LZ7lVa5KKW4EA9xMb6X7eNptMh5QlJ9U5jb\nQUYc8V2UJc7NKqy+iRmWyGPHx7h2m8zOqWTpBQeUgNKYiwKDHe4ZRvo1cbZTDOUVtJbzz3U927OZ\nbTSahX85JrCQHjx13WoXZTUuAq8uRjgf28/OdSn2hs8RFLvXan+Ria5tu5fIGXBxobTodhF46XyU\nxbTMtVtjQ5OnElIad1E6ISJ8jdI5/JyUygylSKmNZnNSVip06uXohcE7aEOyzeU2uSircVyBU/Pd\nbbWfFaNkfRcFgHM1dEs+Nx8kkZU5vHOBkDpYnYZXE1TEph6A2lmC3O7yZp+1+OGeyvjfThlaVaFT\nLzMJicUBdFHMLpTg5lvt/+jSQU4bu7Hczu2D76J45HJwabG20OViWubh45PMpQa3G60ABJvIcpAQ\nMAAAIABJREFURYH2OinNlh/71I/Twz+9wODdDVtEq7rG1rvNQazoiQRc5hLdu4CZtsBLl0f50aVr\nOJ3djt3mJ5ecGCFjD15OUSO8Olvf8WxYIj87Mc6Z2Wj1D/chQVVCbPJm3qsixacxXFfo2Z9ewPej\ny9Dq+Tu1MJ2QSOQGr6Ink+mNi17OEnlpZpKTyjjaujm2B9rTan+RydavtA/J5uByjS5KIfk8lZQR\n5MCmWersddazCIIX6ullfJHSefxwT2WGVqRUc0paVd1Tz/4MoovSzoqeRsmYEs/PbOBkYAJt/Apb\n1Na12jfEMGk/FwWAV5s8nk/NyCyk1nPjjvmByFMJKVLTDz7tb4nfjEjpjSfvfsOv7qmML+HaRL3h\noktxmZQxeC5Kuyt6miGZk3lmejMPX7mGaWOqJeuMCZP4F2vIZAWmY82HvBZSEg8fn2S+z/NURMEr\nO26expLxa16776R0HMft3Z9ewH/kK0MnnRTXhVfqjN33A73oopQillV48vI2JiMbOTB2seFW+4YY\nImn5uSgAr15p3fdgWCKPnxjn0LYUO/q0n0pQbd5FAb9HyiDih3sq0/t3kC7Rmo6zta1gOhkgbQze\ngdrLLkop5lIKj6V2sHlsC9rIeUbF+lrtx4QpfBfFc1Fm4q0Vay4CL56PspiRuWbrInIfnS6iAIEW\n7XD7RYpfgtxp/O+7Mr5IKUNrnJTqnwuGgpw8NXhhnn5xUUpxKaZwKbaLq9YZ7Bs5R4RE1WVMIei7\nKEucnWnf9/DqXJBEZoob+6ifSqhFLgr0bk5KNwoNBgV/dk9l+vMu0gLaPZvHdV1EsfzTkyxLhMNB\nTlyySeUG7yDtNxelFK8uqLy6sJsd4xn2R88TEtNlPxsTp8Dp/39zs6QzAlcS7RVrC0v9VG7aFWMi\n0r2OwrUgiQJqC20fP9wzeDj+daMiQytSOkE5ERQKqaiqQjKZ5djF/k4ILEU/uyhrETi7GOZcbB87\nxpPsi5xf02rfloIkrMH7OzbC2RbmolRiJU8lyY6p3hoqWciGyRFUWcIwTAzDbFoA+CJl8OjX6h5N\n00Tgq8B1QA74iK7rJ0t87uvAvK7rn1r6/VkgvvT2aV3XP1RpO4NyJ2kLzQ4JXJ2fIIoikUgQx3GI\nx9OcnZPJWn0UXK+RQXBRVuO4AqcXRng1doDd43H2hFda7cfE1lQG9TupjMBsm12UQrw8lREWM0pP\n5qlIooBjWTiiQDgcZGwsim07y4KlEdHSq+EeQRAQhB77A/QJvVJF0wB3AUFd12/VNO0W4AvAewo/\noGna7wCHgJ8u/R4EBF3Xf6nWjfgipQLNDAlcHU4KBBSCQZVMJodhWNgOnJobvByGwXJR1mI7Aifm\nxzizOMKedTGuikwTNwavMqsRzs5053vI56kc3rlAsIfyVMKqhGlamKZFKuVN5VYUGVVVSooW0zRx\nqtyxvLyP9jopjtMrDdGHgz4O99wOPACg6/oTmqYdLnxT07TbgNcBXwMOLL18HRDWNO1BPP3xaV3X\nn6i0EV/6VqCZZLD8sqIoEI2GUBSZRCKNYVgAnFtQyPkuSt9iOiLH5tbxw5PbWIj176NQq0imBeaS\n3ROn+TyVXumnosgiSglrJy9YFhbizMzME48nsW2HUCjI1NQ6pqbGGR2NEAyqZYYQ+uGeQcNB6Nmf\nKowChSWQtqZpMoCmaZuBzwAfW7VMGvg88Dbgo8Bf5Zcpx+A+8lahlvOw2Yx1QRAYGQmTzZrkcsby\n67YDp30Xpe+RsHj5rMvRMyI37HPZtZ2m57L0K91yUQrJ5fNUtifZMdndPJVIoLbzIO+0pNOe0yLL\nEqqqEAwGGB2N4jhuUXioMzkpbVu9Twn6+PuOAyMFv4u6rltL//8+YAq4H9iE554cA/4aOKnrugsc\n1zRtDtgMnCu3keG5o3QQQRAIBlUkSSSRSGPbxfbpqwsKhu27KP1OLpXFXrJqnzkucHnO4aZrXFR1\nuL6HdFZiPtUblxIXgRfPjbCY7l6eSiSkIktiQ2ETy7KxLJt0OgsUihaV0dEIALbtEAwGME1zzbWl\nWbzwtj8FuZPY/RvueQx4F/A3SzkpL+Xf0HX9L4G/BNA07TeBA7quf1PTtN/Fy1H5PU3TtuC5MZcq\nbaQ3riw9SiNOiixLRCJBTNPGcZw1FxHLhtNz3X/qbDURxeHiwuD1eymHhMXxi8XJ0RfmROaecHn9\nIYfJdYMnQkvhunB6uveO527mqayfGCERb01n3NWiZWQkjCzLBAIqIyMRoNhpaVa0+OGeztPHX/e9\nwJ2apj2OdyH8kKZp9wBRXde/XmaZ/wJ8U9O0R/GSqz5c4L6URKh0QF65kujfr68KggBSlXtqOBzE\nsqzlPJJqhEIBFEUmnc7iOA4jI2FisWLb+ZVZhZNXeiNu3kok12U+NRw3ZgAzleTk+fLvv2a3w/6d\nAhVa5QwE6azEM68Eu70bZQnIDoc72E9FlUV2X7WRK1fm2nLziUbDuK67nIgrSZ7ToqpeQi5QIFos\nbLs+gTYxMUYikcI0a7vmFSJJg3NdW79+pGP2xnee6t36nrtvLpkY1VF8J6UCtTopkiQSiYSwLJt4\n3BMl3nLFy5o2nBlAFyWsOFwaJhfFXeuirObFUyJXYnDT1Q7BYNfP87bgui6netBFKSSfp/Ka7Umu\n6kCeitddtn1Px171zcrKbdsmk7HJeJoFSRKXRItCNBoGhFVOS2XR0riTMpjHeCdoccRu4BhakdKq\nxNlgUCUQUEinc0VPH6Xa4p+dV7H6N/5YlmHLRckW5KJU4tIc/MOTArde67JhcvC+o1RGYiHZ+1aR\ni8ALBXkqUpt2WZVFpDY/eFbLGbFth0wmRybjOUeFoiUSCSEIAqa5Ilosq1i0+OGezuN/3ZUZWpHS\nLKIoEImEcF2XeDxd9cQ2bDg771f09DsyJscvVXZRCsmZAg89J3Bwh8PVu0GSBkOsuC6cvdK7YZ5S\nnJ0LEm9jnkq7XRSov0/KatEiiiuiJRwOIYpCR6uHfNbSx4mzHWF47i4NUG7+zkpjNgPDMGta15k5\n30UZBDLJXEMXlaNnRaYXXG495BIO9f93ljEU5pP99+/I91O5ZV+C0UCmZesNKHkXpb3N1prtk+I4\nDtlsjmy2ULSsNJgTRYGxsRFyubzTUn9uik99+JqwMr5IqcDqrrGCIBCJBBEEgUQiXbU7ZD5clDXh\nVd9F6XtkweZ4xWK5yszFBR54Am496LJ5Y//d4PO4Lpy40L85SDlL5OFjoxzaJrasn0pI8b6Pfutj\n4okWg2zW6+O0ceMkmUwWRVEYG4siSSKmaRV0xS0tWvzy48bp3bTZ3mB47jANUJiToigy4XCAXM5c\nPqGrL++JnNNzCrY7eCfx0LkoiUzTSW6WLfDISwL75x0O7e/P8E8iJRLP9K9IAXBdr59KrAV5KkFF\nXO4O2/5wT+N9TGqlULQIgrAcHhodrV201IvjOHzhC5/j5MkTKIrCpz71b9i2bfvy+w899CO+/e3/\nhiDAnXf+Cv/0n/6zlmy3F+jjtvgdYahFymqnpMQnEARvOJgsSySTmTr7ELjkLIFzC76L0u9ImOh1\n5KJU4/gFkZmYy22HXKKR/rlI9UNFTz2cnQsSz05xeOc8QaV+BSoAQVVa9Up/tq0vtW7XdcnljOWO\n2atFyx//8b9gfn6B6657LddddyMHD15LIFB/KfIjjzyEYRh87Wvf4MiRl/jyl7/E5z73RcCrYPqP\n//HL/Of//C1CoRAf+MD7eOtbf4Xx8fHm/9E9gO+kVKb3U/O7iCiKyLK0lBybqrtRkuvCK1cUHN9F\n6XsyyVzLn3gWkwL/8KTAqxf75yqVygZIZPvbRVnNQkrmYX2KhVT94iuoSkWjEHp1SnEtiGL1dedF\nSyKRYm5ukY9//I95//vfTyqV5qtf/Qve+c638LGP/TYXLlRoIlSCF198nte97lYArr32EMeOvbz8\nniRJfPvbf0s0GiUej+E4DooyOA9Irtu7P73A4PylW0woFEBVZRzHWc6Mr5dU1uXcwuB9xcPoopxu\noYtSiO0IPHFUYHre4bUaKErvij/XdTl5cbAESp6cJfLYiXV1zf0RBC/UU/xau3NSOteDpRYikQiH\nD7+Om266DVGUSadTHD36C9atW1fXelKpFJFIdPl3URSxLAtZ9q4zsizz05/+mC9+8c+49dbbCQZD\nda2/l/H7pFTGd1JWIUkio6NhRFEgmczQzI3p2CXBd1EGgGwbXJTVnL4s8sOnBOI93OQ5lpJJZAf3\nkpGf+/PiufGabhwhRVqTMNruBNJOh3vqJRyOcPjwzYTDkbqWi0QipNPp5d9d110WKHnuuOOXuffe\nH2CaJg888P2m9rOX6LZb0utOyuBecRogEFCJRkNkswapVBbHWduQrVbShsCZ2cG7mQdlm8X0YD5N\nl0IWLE41UdFTD4mMwINPibx6sfcm0Tquy+nLg5OLUomzc0F+9soUWbP85VEUvLLjUrS/uqd3RUqj\nHDp0HU888RgAR468xO7de5ffS6WSfOxjv41hGIiiSCgUKtkaol9xnN796QWGx7MvQT5xVhS95Fhg\nVWO2+gcM5jk1q+L6LkrfY6TNjp6sjgtPHIXL8yI3HHCR5d5QK/GkTDI3ODeGauTzVG7avci68Npq\nvqC61kWBTtzo25eY22h5cyODWFfzxje+iZ///Ek++tEP47oun/70Z3jwwQfIZNK85z13c+edb+f3\nf/+3kGWZPXv28da3/kpT2+slekUM9CpDO2AQQBQhGJQJhQJkswa53NrGbOPjURYX65toatnw+Okw\nmQpPYv3IsOWiyILNL/R010J24YDL7de5jI92Vxi6jsuzp8Kkh0ik5BEEl9dsK577IwowFlZK3pi9\nMRkBYrFEW/Zn48ZJpqfn2rLuRvfda3qpIIqD47B2csDgV37Q1u5/TfH7v9L9oUzDc8cpQSQSQJYl\nEokMTgvlrCzBG/emyToBpmMCFxcF4lmRfh/CNWwuSjqe6WpOUTon8OBTcP1elz1XsdyLo9MsJuWh\nFCjg9VNZPfcnVMZF8Wh3x9n24bfE7w69/Z13/5o/1CIlmzVx3cqVO3krs5EDaTzsMh522bHOIGsK\nXElKzCRk5tNS3yXUDpuL0s6KnvoQeO6kwOV5h5uucQkGOrs/rjNYfVEa5exckER2ipt3L6DK5QVb\nqzvCrl137+W7lJr47lM7VQZTDz3Dc9cpgW07VMu/yuetNBqrzSd4BRWX7esstq+zsByYS0pcScpc\nSUoYdu8/pQ6bi5JJGj0lJC/Nizz4hMtt1zpMTXbueFlIyqSN3j8+O8F8SiZnBRGE8vO62tkRtpd7\nsPht8Runp42UCmiaJgJfBa4DcsBHdF0/WeJzXwfmdV3/VK3LFDLUV5/aDo7Gn6bLdbSVRdg4anPt\nlhy/tC/NzTvS7Jo0iLRhMmsrGLaKHkWwON2DDdaypsCPn5M4+oqLY7d//xzfRSliasRi53qr4g25\n3inF9dCrTopPczhu7/5U4S4gqOv6rcCngC+s/oCmab8DHKpnmdUMtZNSC9Vb51dcmmoCRxBgXdhh\nXdhg/wavdHkmITObkplPiz1RITRsLkoylu3pVtVHTotMz7vccsglFGzf32YhIZPxXZRlDu/KLTuj\nrusu39C9nhIrB0w/h3tamZvnUxudeOBonIrXl9uBBwB0XX9C07TDhW9qmnYb8Drga8CBWpYphX8F\nqkIz5XWNCJyw6rJz0uSW3QbvfK3Da7cbbJ9wkaXuHMjD5qLImJy+3MsXDY8rMYEHnhC4fKU9++q7\nKMVsGrPYOrEyTE8QBERRRBRFJMn7kWWRYDDQxht9J+YCNb6sT2N02y1pwkkZBWIFv9uapskAmqZt\nBj4DfKzWZcrhOylVaE6kNLdsKCCyf6tIKpXlwAabhbTETMLLZelUefOwuSipeK4n3KtaMC2Bh18Q\nOLDd4eBekFs4UTmRCVZsZjZsHN6drfi+osiMjETJZnMYhokkiWWdlkYZhAnLPmvp4688DowU/C7q\nup5X8u8DpoD7gU1AWNO0Y1WWKYkvUqrQTLjHW7b+hfPN5QRBIBZLeQm4AkxGbCYjNldjkMiKXrVQ\nUiaWaU9587BV9MiYHLvcCxU99XHsnMj0gjdROdKCicqO46Jf8AVKnm0TJhvHyueLqapCNBommUxj\nGF5SrSAIRed+pfBQrfg5KYOJ3dPhnoo8BrwL+BtN024BXsq/oev6XwJ/CaBp2m8CB3Rd/6amab9W\nbplyDM8dqGGauWnVf/CpqtdcLpczEQSl7EVjJOgwEnTYPWWSswrKm1MSdoucAN9F6R8WkgIPPAmv\nO+iybVNz/4b5uELOd1GWcLlxV3kXJRwOEgioxGJJ7Aq1pLWIlmrOqy9SBpM+/srvBe7UNO1xvJvk\nhzRNuweI6rr+9VqXqbaRoRYptRwczTkptYd7BMG74EmSSCKRwXVdAgGlpmUDssu2cYtt4xa2A3FD\nZSYhc2nRm+7aCMPmokhuPhelP0UKeBOVHz8ioMUFrt3jIDWQSuTlotR23A0Deze5bJmUME13zQ18\nZCSCKAosLibqvrk3Ilp6V6T07znTCzh9qlJ0XXeAj656+ViJz32zyjIVGZ67UIN0InFWliXC4SCm\naZFKrUwCbWS7kggbRhy2TTokk1niWZGZhMxMUiKZq/2uNXQuSqJ/XZTV6K+6XJqF1x9yGamzu/dc\nXGlY2A4aAi437zMJBgNEoxEcx8Y0LSzLJhQKYFk2sViq+opq2VYF0eLl4a4ImHbhOyndobere7qP\nL1KqUNiQrYGlqwoNb16GQiqVxbJa1SfFcwQEAcZCDmMhg30bIGN65c1XkhLzaansTTkkO1xeHJ6K\nHsk1OdPnLspq4mmBf3gKbjrgctWW2gSvX9FTzJ6NJiEpSzzu/S7L0tKk9DDgCYZwOIRpmliW1VIB\nUShaRNHLU4tGw2QyGfJVPq0Y7Ld6m75I6Tx+1XdlfJFShWYTZ8shigKRSAjXdVdNXm6ecvscUlx2\nTJjsmDCxbJhNScs9WUx7ZYHs2qGvA80guSiFOK7Aky97LfVvOOCiKJX/jbMxBcMavO+hEUTB5Yad\nxbkokuSJlHg8iWlayLKMqsqEw0FkWcaybEzTxDQtTLNiwUJdeJVDEVKpDLmciSyLJZ2WZkVLc23x\nfRrFF4aVGXqRUl2EtP4JO58cW27yciGNlh1Wu27IEmwatdk0auO6ORYyIjNxmYQhc3p6eFwUmcFz\nUVZzdlpkLuZy22scxkdLu4K276IUsX+zwUho5cSLREKoqkIslsC2vUdfy7KwrBUxoigyiiITDoeQ\nZQnLspYFS6OiJRBQiURCJBKponWsdlpaIVraXeLsU5o+ru7pCEMvUqrRXMfZ4tk/q5NjqzV98i46\n9TdwWlmuNgQBxoM2YwET13VZH1Z5+VKIRHbwcxOSfVzRUw/JrMA//lzkhn0uu7aDuOqgnl1Uity0\nYUYSXV67wxs8KggCIyMRgKoJsitixHNgVouWQsFSKG7KEQ6HCASKhVE5WiFa/HBPd/C/8sr4IqUK\nzcd9PcEgy2LJ5NjK227s6aZeYeU4Do7jIgguggDb1xlsGzd4dV7l5ctBUnUk3PYTimBx7HK396Jz\nuK7AM8cFLs95E5VV1TtIbNvl9IzvouS5eotBJODloo2ORjFNk1QqU/d6CkWLIIAsyyiKQiQSQpIK\nnRZzTT7ayEgEQWiscgja47T4tIdqAnTY8UVKFZo9kV3XS45VVbmB5NjGnJRaQ1SO4+JdrJw1okYQ\nYMekwfYJg7NzKscuB0kbgyVW4ovZoXyKuTAnMveEy+sPOUyuE7kS812UPIrkct1VuVV5IM0nabku\nRWEfQRCWnZZoNIwoSsvhI1VVsCybRKI1lUP57VUSLc11m/WPnWZwfY1SEV+kVKGZcI8oCoiigCSJ\nDSXHNrrtWpZzHBfHcRCEyvskCrBrymDHhMHpORX9cqhjLfnbiYzJ2enBzkWpRNYQ+NEzEtftspjP\nBbq9Oz3DNdtyjI+qhMNB4vFUTWGZRnBdF8MwizrUBoMqoVAIcFFVkdHRCKZpYRhWxUZxjVAoWiTJ\nC2kZhokoCr7T0mH6tU9Kp/BFSlUau5Hlk2MdxyGbNRp6Smn8IlF+n/PuST68UyuiCHvWG+ycNDg9\nG+D4dIiM2b8XsERsOHJRqvHySzNMX0pw7a0HcJRQt3enq6iywy0HJIJBmcXFREcnAiuKTCgUJJlM\nYRhmkdOSbxpXmNPSKtGyOqTlDU30w0OdxA/3VGboRUo116FeN2N1cmw43Pmn1HL77AkUZ+li09i6\nFVnk8H6VQztNXjhto08HMPqs+dewuyh5FEyeeWaaXM7h8vRzvOlt+xBG13d7t7rGzfsgqArEYvGO\nhgFDoSDBYKCotX6x05IpEC0KoVAAQSgULWZDNzpZlhgZiZLJZMlmc0XvVQ4P5RvLucuf9Wkc30ip\nzNCLlGrU8/RQqnNst6Yor16u1vBOJfLlkOl0hmzWYP9G2D2V5eSVICemAxh2f4gV30XxcGKXyeW8\nm1sqbfP39x7jttsWmNy7B4TByj+qRiTgcu1VJolE5WnHrSYaDSNJEouL8Ypua6FoSaW8ULKiKEsO\nTKFoMZeclsqiJT8UMZFIY5qV2yDAWtGSd2Tz++bTOK7jf3+V8EVKiyjXObb5KcqNLlv41FN/eGc1\n0WgYWZbXDFKTJTiwKcue9VlOzAQ5ORPA7GGxIg9gd9lGkDF5/vnZNa8//vg0ey6luOYWDVcNd2HP\nusPN+11kEVxZamHn5/IIgsDoaBTHcYjFEnUv7zguuZyxnNQriuJyeMjLa6FItBSGrkKhAMFgsOpQ\nxEqIorAk9EUEoXfP937AD/dUxhcpNVKuFLh659hmpyg3PjfIs2gdvPb8je2BJEmMjESwLIvFxXjZ\nzykSHNycZe/6HCdmApycCWI5vScE4rEcwy5QAIhPk82Vvji+cjrJ5ennuePOPUjjGzu8Y50nGnTY\nuyGLKBZX2pim2ZakVUny8kByOYN0ujXOjeM4ZUVLOJwXLeZSzokX0nKaeIL3LnPi0o9PM/hOSmV8\nkVID5Zqq1dI5tltOiuM4RKMhDMNsOGYdDKqEw6G6yjBV2eWaLVn2bshx/HKQV2YD2D0iVmTX8HNR\n8FyUF56/UvEzqbTN/d89zutvi7Fu796Bflp+7Y4sjm2SSq1U2pRPWm3sXMrT6tLmcqwWLZIkMjIS\nXQrbwNjYSNG/qXbB4i47KL5AaQ2+RqnM0IuUWsKpnlgQChLFau8c2+mclHx4JxZLoCgyquol2oFQ\nMFek8kVJEISlWLnYcJVDQHY5tC3Dvo1Z9Okgp64EcLqcBxKPGQy7QAEgPk0mW9vf9LHHp9l9Mck1\nt10NA1j9Mxqy2bex+AGjXNJq/lwqzP8wDKvm8yMYDCyVNic7ElLKI4oCIyPFTekkSURRFFRVWXaC\nC/9NpfNMXFxXxDuHfIHSKhw/3FORoRcptVBYDVMqObYanUp+d5yV8A5Q1IdBFEVUVV6+KDmOu3RB\nMotmgngZ/17PhFY0kwoqLtdty7B/Q5Zj00HOzHZHrMj4Lgp4LsqLL1R2UVZz6kyKmSvP8ca37EUa\n39CmPesON+zMUW3I+eqeJqXzP1YGC5YSLZFICEVROl7aLEkSo6NrK3hs28G2c8uvrYgWlUgkvHR9\nsHjqqafYsmUL4+MTrLgnw30OtZpmwm7DgC9SaiDvaJRLjq2+bGNPHa7rteauhcLW9uXez2YNsksj\njmVZWipnDDI6Ki+NmneRZZlkMr18QW4VIdXl+u0ZtI1ZXr4U4uy82tEKm9ii76IAEJ8mnan/JplM\n2fzg/9O57bZF1u0ZjPDPRMRm94b6j/Ny+R+lXAnTtIlGvQTkTpc25yt4ajmf14oWCVmWuPfev+Ox\nxx5jcnKS668/zA03HOb6629kbGy8E/+EoaBfq6M0TROBrwLXATngI7qunyx4/9eAT+E9Nf+Vrut/\nsfT6s0A+wfG0rusfqrQdodIXdOVKoj+/vToQBJCqVFtGo6GlTowuqVS2roNKVRVkWWooQc5bViSd\nzpX9TGHvk0bJVxqIorgkjFoXgy9HKify8qUgr86ruG0WDwHR4oWXs3UPFxg0JCyOPHqEVLq5UMOe\nXRGuufVq3D4P/7zl2hQ7plrfUbYwlKIoMq7rVeLkz6lO3JSCwQChUJBEornQkut6s51OnDjBs88+\nzbPPPs3p06f41rf+hnB4cKu/1q8f6dgTzYf/3UzPXpr+62c2lP0eNE27G3i3ruu/qWnaLcCf6Lr+\nnqX3JOAYcBhIAkeB1y/9/890Xb++1n3wnZQqqKqMLEsYhllRLJSjmcZp1ap7WtH7xJsdEiGXyy0L\nKUEQUFV52WkBikJDrbjIRgIOd1zjkrEcnjpuc3ZOoV1Ox/y8L1AA1Mxs0wIF4JXTKWZmnuMNd+5F\nGuvP8M/6EastAgU8V0IQbMLhIKlUBtO0UFWZYDBANBrBceyi7rGtFi350FIs1lxoKV/BI0kiBw4c\n5MCBg9xzzwdbtp8+Hn3cFv924AEAXdef0DTtcP4NXddtTdOu1nXd0jRtAyABBp7rEtY07UE8/fFp\nXdefqLSRoRcp5Y6PwuRYb7R6oyd7c2XE5TvHNt/7JBwOEggESCZTRXkp3pOfuVyxlH8yDARUotEw\njuNgGCs9GOpFFEVGRiI4joNrJDi8w2X/BpGjl0JcWGytWJFdg1f9XBRkwea5Z1s38jmRsvnBd3Ve\nf1uM8T17+i78c+Ou9jVtyzc9TCRWzqtMxiaT8R5y8qHWvGixbZvCnibNMDoaAZrvmuuXGHeOPi5B\nHgViBb/bmqbJuq5bAEsC5W7gK8D3gRSQBj4P/GdgH/ADTdO0/DKlGHqRUorVybFeRn9j62qmjNjr\nb7K2c2yzvU+8bP8IrkvVTpewNl6dv8iGw0FkWS4KDVWzlvNx8nS6OJFvNORwy+4UsbSOJPPWAAAg\nAElEQVTE0UtBLsbUxv5xq/BzUTzUzBzJVGsrSlwXHn3sMnsvJrj61v6p/tk8brF1oj3VNZ7wV4nF\nEmXDpJZlY1k2Ga/QBlmWUVV5+XyyLLsoEbcWRNEL2VqWTTLZTMK7X2Lcafq4mVscGCn4XVwtNnRd\n/46mafcB3wQ+CPwP4KSu6y5wXNO0OWAzcK7cRnyRsopSybHdam2/Wju0JryjMDISJpPJkck09jRZ\neJEVBJBlBVX1wkYr+SxryzMjkRCqqlQswRwL29y6J8VCOsvRi0EuxxsXK4pr8OpMw4sPDBIWzz5z\nsW3rP3k6xczs87zhzXsRx3p/9k+7XJR8T5XFxURdIRzLsoqmLRc2YZOkfGO58g8B+QqebDa77NY0\nhl9i3A362El5DHgX8DdLOSkv5d/QNG0U+B7wVl3Xc5qmpQAH+DBwCPg9TdO24LkxlyptxBcpS1Tv\nHNsYzba2FwRhObzjuk5T5cy1iIT69zFffun1lCicKRIOr1Q6yLKMbds1X8DXhW1evzfFXCrL0Ysh\nZhJK3fu2uNi+Zln9hJScabmLspp4wuL+7x7jDW+IM7Zzd+fq7utk+4TJxrHWfheFLkYs1nzZ/oqD\nkl16CJCXHcjCbrimaSEInivabEVecXinN/92g0q/VvcA9wJ3apr2ON5B8yFN0+4Borquf13TtL8C\nHtY0zQReBL6Nl5vyTU3THsXLhfhwpVAP+NU9AITDlTvHBgIKoig29JQiil5jtHi8/ouXJInLse3C\nJ63692ElBySZbJ0Aq4V8AyvH8cqpvfh7fVY2wGxS5ujFIFeStYkV2TV46bgvUkQsXn78CIlk55qH\n7dsT5erXHejJ6p973mgxHlo7z6ZRWudi1EZhN1xVVRFFAcuyyOXygwXr/zuvCBQBX6B4dLK659f/\n5dmevc/+r8/v6PoBMfROiiB4eRKVOsc2G7Jp9KHSNC1yOWPpCcoLo+QrbGq9wJbLAekEpZyblfh7\noZVdfUbKVNTijfuTzCRkjl4MMZeqfOgmE+2p3Og35NRMRwUKwIlXkkzPPM8b3rIXcbR3wj+7NpiM\nhywURV7Vz6Te1vAe9fQhaRX5xnL50ubFxeRyYnsj05D9BNnu08dOSkcYepHiupBIZCoKiVaEbOqh\nMLyTTmdIp4vDKPkLbF6wlCtjjEbDKMraycXtptC5WR3eWYm/Z4ueCkdHI8sX2Py8oVI3jQ0jFhu0\nBJdjMkcvhVhIrz2EA6LFy5f6NhmtZYjYHHmhO0k58YTFD+47xu1viDO2cxd0ufpHwOWGHVlyOado\nnk1ha/h8F+ZaSoNbMUm4UfK5L7GYd27Zto1hmKRSFF0nqnXD9QVKb9DHOSkdYehFSi0046TUS7nk\n2NWj2SVJKuq9kA+jGIaJ67qMjESXJxd3o8tlJlPd/i5sN55KZdZ07qx009g0ZrFpLMHFRYWjl4LE\nMiuH8vxc+8pL+wklPUO8wy5KIY4LDz98kf0X42ivuxrkYNf2Ze9Gk/FIsXAt1WV1dT+TUqX20WgY\nWZaaniRcL/mmi7ZdPvdl9XVipYW/QjCo8sEPfpCrrtrBa15zHddff5j16zd1bP99StNpkdtv+Dkp\neB1nK2kQWZYIBlWSyUxD6x8fj7K4mKz4mWZ7n+QvRPn8GcuyyeUMDMPs2KyQcDhEIKAs5dA0f+Ll\nbxqKoiwn3uZDQ8U5OgLzuSjPn5FIJE0/FwXPRdGfOEIs3hthr7FRmdvfvB9xdLLj2xYFl39yc4KR\nUH3nVb7U3mvo6JUGi6KAbTvE45XP51YjSeJS7ovRcFUewIUL53j66Wd48sknee65ZxkbG+Pmm2/h\n937v4wQCgRbucX/TyZyU937sRM/eZ+/98j4/J6UfaNZJyS9fThAWtrZvdDOWZREMBnBdiMUSSwMF\n8x1j3aJ8llbHQPNTVl13bXinGWzbLmqClQ8NRSIr+Sy2bXvOi2GyTk3w8jmRY6dETKvr51ZXUdIz\nPSNQAGJxix/cd5Q3vHELozs6G/7RNht1CxQoLrXPiwTP5RSYmBgvqrJp51RjRZEZGYmQSmWWHZLG\ncNmy5Sre/e4dvPvd/wTHcXjllRPo+stI1WaD+LQNP9xTGV+kUD3npHmR4q2/1L27Fb1PViYXWyQS\n+blN9nIyXz72HgyqRaGheitsSrHSd6X91Q3FpZkC4XBoSZi5BAIqgiBw/T6LTRMmf/eIxPTicAoV\nEZsjL/ZegxjHhZ/+9CIHD6TYd1jDkdr/5C6JLq/d0dxxWUokFOZTFfcHau28q3z32ni8uQq/UiXG\noiiyb5/Gvn1aK3bVp0H8cE9lfJFSA811jYWV1vgrQqRVre3zJb6VKgzWdoxdW2GTT1at5+LqhXfU\nlvZdqZVoNIwkiSwsxHEcZ8k58vJZ9l4V4hPvc7jv0RxPvjx8TylK5kpPuSirOXosxsVLz3HHWzWc\n8Lq2buvgVoNwoJnzSyUcXisSCvOpILMsWjz3MrAqCbyxcud899rFxdbM4PFLjHsT30mpjC9SaqBV\nTkqeVrS295o4hREEse6LWOkKG+/iCsKyy5JPwl3NSnjHramtfiuRJLEgKTix/LrjOGSzBtms96Qr\nyxLvvlVh/zaBv/2pRXZI0lQEbI6+ON3t3ajKYszke//7SFvDP4rk8pqrGndR8oP6ajm/ikVLYcKq\n9zCQD7nWWu7sVfCITYdP/Qqe3se7F/iUwxcpHaBQ5DiO07R7Isue/ZzLGaTTzXW4LK6wociR8Cps\niocJ5q3vToR3VpO3vmuJzefzCXZMwUfeBvf9TOb87OA/RYaMeRZiveuiFJIP/xzYn2DfTQdaXv1z\n7bYcQaX+80wQYGQkCrBc5lsvjuOsqsarrdx5pYLHIRZLVNpEVXyB0h84DQ+vHQ58kdIhXNe7cDXb\n2j4UChIKBYomrLaSUo6EN0wwhCx7yXXZbA7D6OyNMBIJo6qN9XwZj8JvvNniJy+IPHFscNt+C9gc\neaHiGIye5NjxBJenn+P2N+9HGGlN9U9Adrh2eyMdor0EWdP0yuJbRS3lzpZloyjy0sNHM2X0/pDA\nfsLxnZSK+EcwpRNa136m8ZCPbTuEQirBoLp8o6+X/BOWosgsLsbbIlBK4ZUyexdW07RIJDznZmQk\nwsTEGNFohEDAa8/dDkRRZGxsZGlwW7zhJDNJhLdc7/D+O+ymchR6mUB2lvmFznQ+bTWLMYv77ztK\n4tXTLQkfvuaqHGqdj2CyLDE+PkI2m2upQCmFV7mWIx5PMj+/SDabQ1UVXNd7EBkbGyEcDqIo9T5H\n5ocEdk+gLCzMc/fd7+Ds2TPLrz344AP8zu98qCv70+s4lt2zP72A76TUSKUKnUo4jkMikUZVpaVG\nZ5FVLe6rx6dXQiyNTy5ulFLhnXyyYLnma/nwULO0o6X/3i0uH3m7xX0/k3h1ZnA0uoDN0Zd6Pxel\nEo4DD/3kPAcPxNl74wFcubHqn3DA5bpdLji1n6/5UGK7HMpq2w6Hi7dd7yRkj0KB0h230LIs/vzP\nP4uqrvztjh8/xve//12//XsZ/MTZygzOVbrt1OekeKXF9lJ4x0uaS6UyLC7GWVyMYxgmqqowPj7K\n+PjoUpLeWs0YDoeIRiPE46mOC5SVbSdL5p/k4+6JRIr5+RjJZArHcQmFAkxOjjM2FiUUCjbkHoXD\nISKRMPF4suUzh0bD8IE32bzhWrup3KBeIpDrXxdlNUePxXnk+8/hJucbWv7wHouRSICJifGaHIlw\nOEg4HCQWS3RcoJTbtmlapNNZYrEECwue05IfVjoxMcboaARJEjl//txSGJmuCxSAL3/5P3DXXb/G\n1NQUALHYIl/72lf5wz/8467tU6/juk7P/vQCvpNSI/U8BFTrfVK6xb3XeG1kRF6qvrELhoh1toKm\n0eqdwuZXwLLLstY9Kl+S6YW1Irgubf13iyLccchhxwaX7/5MIpHp5zwVh5f73EVZzcKiyf33/oI3\n3rGV6PadCDVW/0QDDrun0sSX2gWVdiRWGrC1qoqmEbwyeqnqtl2XosqhfEXe7Owsn/zkH5NMJnnt\na2/ghhtu4vDhm9m6dVvHxngUcv/932N8fJzXve5WvvWtb2DbNp/73P/FH/zBH/ndbCtg90hYpVfx\n2+LjhXGqNVyMRkNks0bFfiCt6H0iCPnk2ODyhWtlkGD9k1rrpV3VO4WDz7zY+9oBifnGWLlcrsnE\nwfpIZeF7T8qcvNifQiWUm+GRn57r9m60jYPaKHtvOoBbQ/O3N2hp9m8u7SgVNmBTFAVJEnEch0wm\n19IGbNXIC3HHcZdzvBrFdWF6eoZnnnmGZ575Oc8883O2bt3GV77yn1q0t7Xz+7//W8vi6OTJ46RS\nKTZv3sKGDRsxDIMzZ07zjne8m49/vPddlU62xb/j7sd79j770+/c1vWLoi9SlpCreEqRSHAp16K0\nHVzY+6QZIpEQqroy/6Yw70NR5IK8D7Pl1rTXPCqwtO322t6r5/K4rteQLZXKtDy8U41gUCUUCvIP\nT2b44XMujtP187IOHM48fYTZ+cEI9ZRjYp3Cbb+8HyE6UfYzYyGbu29OUi2HW5IkRke9En7bdpaF\nS2GPoHY9EHiJ4FFyOZN0urnk3FIlxq7rkslkCIfDTa27WT72sd/mk5/8NDt27ATg0qWLfOYzn+br\nX/9mV/erVjopUt743kd79j778L23d/1i6Id7aqRS19lWtLb3mpRFsG2naHLx6n4LKyXBQSRJXrav\nDcNquPLFC++0P8RSSH4uTzZrMDISRhQlstnccofPwoZy7RyQ6E209Uqbb97vsHVC4DuPS8RSXT83\nayKYmxt4gQIwv2Dyg/t+wRvv2EZk246S4Z8bduWqCpR8MnZhh+bCicHFPYLKT+FuBFmWGB2NtmQG\nT7kSY29cRHcFik999EoVTa/iOylLVHNSwuEAtu2Qy63cEPLhnWYTjOppUlaIIFAUQhEEYdlhKdct\ndjXdrBxamTlU3JOisMW4oii0Y0Ci1w8jgmXZJJPpoveyBvz9kxLHzvd2XrngOpx57hdcmR2SdrpL\nXHP1KLtvOAAF1T8TEZu7Dicr9iAKhQIEg0ESidrGOKx2+xzHLmpsWA95cdR89VC+gicvUnzaQSed\nFJ/K+CJliWoiJRQKLCe8QmvCO4LgNSmTZZlEItl0TDz/JJgXLqu7xa6mk+Gd1eQdk0ozh/KsdOuU\nkWWl6QGJ+aGI1Uqbnz4h8o/Pitg9Gv4JGVd45KFXu70bXWFyncKtb9YQIt7snzuvTXHVVPljwXPM\nJOLxZMNhnPzMK0WRkWV5aeZVtbJgL8csGPRmXDVzjnuX6rw46c1jclDwRUrv4IuUJaqJlGBQBSCb\nNVrS2l6SPBfBsqw1T/KtQpalZTeicJCgbVuEwyFcFxKJVFeqGrwbRqqhUM7KzUKpe0DiijCr7Wn6\n8gJ85zGZ+USvXbMcXn3uF8xcGS4XpRBJgjt+aTs7r97Ku28sfQ55M64iuG7zSaqrySfgqqqMKBYe\nhyuh13wFTzyebMEMHl+gdApfpPQOvkhZQpIqTzoOBLxwSjqdafqmXsvk4laTD6EEAupyZ0vDMFoa\nQqlG4XDAVgmzwgGJqlqc/FgY8srfrAQB4vH6hJlhwg+elnjpTO/Y68Psoqzms3+yl4P71+ZhtDJJ\ntRqrj0NBEJZHYSQSjYnxPN2ewbOwMM8//+e/wZe+9BUMI8eXvvTvl1xblX/9r/8dExOtGWXQS/gi\npXfwE2drxDRtRkY8ByBfXVPLk3ghgiAsPVnVP7m4WVzXRZal5SRRx3FQVYVAQCUajTQdQqlGIKAQ\niYRbkDRYTC0DEldmojR2s1IVeM+tNjs3OjzwjIRpdff6JeBy8thMV/ehV7j2QKSkQMnnWrX6eCtH\n4XGYyXjzfzzH1WF8fATXbSyvqtsCZXUH2b/4iy/wR3/0Sfbt07jvvr/jr/7qv/EHf/AvurJvPsOB\nL1KqkE+OtSyb+fnF5aelaDSMKIo1t7cvTBJtte1cjXLVO9nsysCzfAhlpenVSnv7ZnNl8mXVjQwH\nrJfVAxLzAxkdxyUYDBSIzPqroa7b7bJ1yuI7j8rMxLonVILmHJcudzbJuVe5572b1rzWzRb3+Qqe\n1flO+bwq76EgvKpyyCzZLLLbAgVWOsh+61vfAODf/tvPLneTtW27qP29j0878EVKBTzR4SwNF/Re\nyzsN6bTnjORzPopn1xQnqoZCAUKhzoZ38tRaveN1ubWAbFF1TSgUpNHqGlH0yqodp7isulOslBcn\nsG2nqBrK6zRa3wwlgKlR+PDbLB58VuTZk40Ni2wOhxNHL3dhu73H9ddGObg/UvSaN15C6bhTCZUr\neFZPQc63EggGA0u5aTZPP/006XSGAwcOoKpBui1QVneQBZYFyksvvcB3vvM3fPnLnW8a5zNc+Dkp\nS6zOSWmk90n+wqOq8nIPE1EUcd18XLqzX2c+STSZbO6Jslx1jWFYZauCaq2gaQf58mLbdiq6VuUb\n5VlYVumn20KOvirw/ackcmbnXJWQOcsjPznbse31Ml///GvZs3Olp04kEgKEriSD58ubvQqe+t1C\nRZH54Q8f5K//+q955ZVXOHjwWm688WYOH76J/fsPIFVrid0GVneQ3b79Kj73uS/y/PPP8t//+3/l\ns5/9PFu3buv4fnUCPyeld/BFyhKi6P20qvdJvsW74ziIokA+obMTiar5JFFoT/VOvkOnqirLIa/C\nxmv1VtC0et9GRiINiaO8yMz/+2opMV1Iwr2PSVyc78QTr8OFF45yabqzoq8Xufn6Uf71J3YtiWfv\nB7zGbHmh2SmhEomEUZTmypthpYInkUjx/PPP8swzP+fpp3/OP/tnH+Ad73h3y/a3EfIdZI8dO8p3\nv/sdPve5LzA6OtbVfWonvkjpHXyRsoQowoo4ae6fXcrB8BI6leWcllrciEbIi6NstjPN2QpDQ/mG\nco7jkE5na24o1yq8fhSt6/tS2FAuHxrK/80KQwm2Aw+9KPPEy0KTR05lQuYcj/zkTBu30B8IAnzp\n/2/vzMObKtA1/p6c7FtbKLRQoFgsZZxRBiiLyCIgDAo6OOKMo+Mog4DcsiioIFNkKwgUWcuOIAqK\nVRSdQdS5egGZKlCqAncExMtSoCLQJW2TNNu5f5yeNEnTNmmWc9p+v+fheTRtcr606Tnf+Zb3XZCK\nzh011bNeelgsVtjtdq8k0+VyebUpIxGHwaAHAJSXV4TUzqyZP2EgxRXjKVMmYsaMWcjImICEhETo\n9fz77tGjF8aPnyRydOGHkhTpQElKNQzDW1OHYh7q6R7cUAXDfzWi9gUwGMLV3mkMcrm8ejCY90NR\nKnmVTqfT6Z75iFRVJZT14kDxb5DI/85kMhm0WjVO/FCJD44AFlv4z28c50LR6R9wrYgGZgf0icEL\nk5P9Stx74lkZ4z+LgYmvBYJMxsBoNMBu91ZLbgxSGJAlvKEkRTrQ4Gw1ghcGf8LgWz78PEpgn1Xh\nhBmoe3DNAK7VYwBXXi2yJqwz8ifUhvBs70TLe8cTYTDYc2BQaLX424YKNRnzRDCL85XWDzeC2rCw\nzipIput0WshkDJxOJ359mxwJcXa8f5jD5RvhveDonCWUoICveP55TIJbxbW+jTGHwwmHwwlL9cfC\n+7PY+A02/jPHV29CnbeiBIUg6ocqKXXC+fxDnUmLr3NxqPh6htRnIhjt9o4ngu6LTCZDeXnD/XjP\nZKymGlH/GmZ9CKumYmxN1Xj/uFBRUekjKCfDgaNWfPmtKywbTRznws+nf8BVSlIw5J44/P25bmBZ\nWUgqrv7E1zw/i3V9lhuq3gQDJSjShSop0oGSlIAR7rRqqixXr17FqlWvYcGChdDrjRGrYAgnUl8T\nQZaVidbeCUcFwzcZC6Yczw8rhsfzKFgaGs4VLoCXb7DIPeiCyRzijJOjGIe/vBDSazQH5CyDN3N6\nIqGNMuxaQ3Vtenk6IKvVQsUw1IFwMgmUOpSkSAdq9wSM58mEw2efHcDatSsxceKz0Gj01QO3kflc\n8ydLPhkQBnB1Og0Yhm8zKBTy6u+LTqISjDlgfTidTlgsTnd7TLhI6PV1a5gIcz8ulwtlZdHXXvHX\n2vJFqBAlxtgx/nfAx9/I8VNR4z4bHOfC/50pCiXkZsMD9yUgvhUbETFEl8vlt52nVqug1+sgVFMr\nKsxNPkHxlLlnWRaLF88HwzBISemCGTNmQSajxImQDpSkNILs7FdRUJCPVavWIzU1DbzgG+DdGorM\nsVlWBo1G7RZn81WK9fStiYSYla9AWjipkeS3eAyq1gjlCQlZoHM/4YYXgJOhtNQU8KqpTg08NtiB\nr3+Q4eBJGVxccB8MnbMUV65Rm0eplOHRB9vAbI7Oz8IzgTYadWAYGex2OzQaNfR6Xb0t2Lrwbu+I\nc6PuK3O/bt1KTJgwGT17piM7ewm++uoQBg8eIkpsBOEPSlKChOM4pKZ2RUbGc9BqBc8Q7yoLf7dU\n89/BDODWh7Bi69neaUgpNpSZD088zQFLS00hv5eG8B1U1ek0UKmUcLlc0Gh4VVEhGYu01D4/f8K/\n97Ky8qCfzzBA/ztc6NSWw4d5LMoqA/8sXDhH6rIAMHJIaxh00b2w8xs8ejgcTlRUCL93a53KxfUN\nhEtlxdhX5v7s2TPo0aMXAKBfv/44duwoJSmEpKC6XpAwDIMxY8Z6JCi1vgM1d0ssABYcx4LjeFfU\nmuQluGMajXooFHKUlpoabDNUVJhRUlJWLS7lglqtQlxcLGJi9NBo1JDLg1OvVCoViIkxwGKxhs29\nOFCEzSW5nH/vpaXlKC4uhcVidXsStWoVA71eB5VKWS2cFz4UCjliYw2wWqtCfu8d4jk8M9KBtA6B\nVaCMjAmFVyLr3tsUUKtk+MP98VE9JsuyiIkxoqrKVuv3zjuI8+1X/jNpgs1mh1wuR0yMAXFxRlRV\nWXD48EGUlBRLooICeMvcC/CWH3xMWq0OlZUVYoVHEH6hSkrE8bxzCr7KImzvVFVVBV3qdjpd1W0h\n/zMfwpBqfaJr0TQH9MVzONd3DsFfa6jG+di/h1KwCJUrkyl8yrkaJfDoQCeOn+Pw39/K4HTV/bu/\ncOZaWI7Z1HlgWGvExiiidjyhQhLozFXt9XQZTKZyfP75Z1iyZDHatk1AenofpKf3QffuPeu5wYks\n+/d/DIZhkJ9/DOfPn0NW1isoLS1xf91srnSLtBGEVKDtHlGpe83Z6XTi8OGDGDVqlMcFOXx4XtgF\ndU4habHbHV7mgBUV5qhrrwjrxZWVFvfJP1D8eSgFMz/AMKhO5AJbrW4sPxcDH+TJUVxeO1ExMCb8\nz2c/RuS4TQmtRoYt2d2g10XnfkqtVkGrVYchMeXAcQwcDhfOnDmL/PyjOHHiOGQyGdas2Ri2eBuL\nIHO/fv0aPPbYE+6ZlJ490zFs2AixwxMd2u6RDpSkSAq+DVBcfBNZWfPhcrmwYsUqKBSRv4uUy1m3\nBLzQDrLZ7DCbLVFf8RWqN7xZW2jH9pwf8F3h9ldBEmZv7HYHKisj39qy2YFPjrM4fcm783rzzA+4\neDm6rTUp8tdHO+CZv6R42EhETrlYcFAW2qSNR/wNnoYQkhSGYbB8+WLY7XYkJ3fGrFmZopgZSg1K\nUqQDJSkSo6AgHwsXzsXo0Q/h6afHe8yPhG8Atz4EaX2rtcrtfswP4ApVltAGcOvDc724oqIyIsfh\nV7jl7sTFs4IkiNM1pnoTKt/9xOCzAjnsDkDrKsXh//4pqseXIgYdi03Lu0GnZb2E10JRi63zWAYd\nGCYcDspCgiLu/AkRGpSkSAeaSZEQDocDOTmrMWfOPPTp08/nq5Fdc65PWl9IVgTNiEj48QhzAJFe\nL3a5XLBabbBa+SREaA0JyrkOhxMMw4BlZVGrIDEMg8E99eia7MRbn9vww1HSRQGA349sA52WT9Jr\nbCTgs8WmguAwXld1rD6EoXSn0xmy/opUBmQJojlBlZQmSU2iEo41Z8EcMNDhXH/uwL6ia8EQiEBa\npPA0JywvN3vNswgXP6E9FIm5HMHFV/jZ2xwc3nz3GvZ/cSvqQnVSIsYox+bl3aBWNdwuqV0dC2xw\nmmX51XKr1RaypQRJ3DcvqJIiHShJaRYE7jPkS6gJQu0B3MA3a6I1oFoXwkWqLml/Qd1XcKzmW0P2\nsA0y1+c99P3/lmPt61dwqyS6nkRS4W+PtcNDv2vTqOd6JpqC95Wv3YJQuQtHa48SlOYHJSnSgZKU\nZkltnyF/CYterwXLsmFNEGouEAqwLFt9gbDXmh1oKEGINIJRXDAXKc/h4vreWyAEMhxcYXZi666r\nOPR1aVCv3dRpHafAxmVpUCrCc9H39OSRyfg2HsvKmrxJoNPpxLJlWSgsvASAwYsvvgyn04ns7FfB\nsiw6duyE2bPnksx9I6AkRTrQTEqzxFsBl09Ea9pD58+fw7x5c5GdvQJJSR3DemSHwwmHwwmLpUYB\nV6Hwnh1wuTio1UpRBlQBQKvVQKUKXvtFeG/+1X0RUGvIe/anvN4Wkl7L4vmJndC3hxEb37yK8oro\n6tSIxdjRbcOWoADwqnxptRqo1UrY7Q7odFrodJxHuzKYlh6/YixmBeXf//4KALBx43YUFORjy5YN\nYBgZxo17BnffPQALFmQiL+8IBgwYJEp8BBEOKElp9tSIyXEch48//gBbt27ESy/NRvv2HcFxkfMZ\nEhRw+WoJXz3R6bRQqfiPnVqtAsvKIrpW6kkwCUJDeL43wHO4WOkeLha0WXjbgprqUVUVv9odKP17\nx+JXXXVYv+MK8r8PXpa/KdE2XoHhg1pF5LUF76WSkprBcOH3plLxvzeXy+mlF+QfaawYDxp0L/r3\nHwAAuH79Z+j1BiQldYDJxL8/s7kScjmd4ommDbV7WhCrVi1HQUE+srKWIzm5M8I9gFsfwnoxx7lQ\nXs6Lw3mvlcpCHsCtD0G9NtgEobEIcyxCa8jpdIJlZTCbrbBaG7+99PmhW9i+pyzE1bAAAB2/SURB\nVAhWa3S1a6LF1L91wLCB4U1SajZ4+NX2+vDXrrRYLPjppwvo0KEDGMYzOZFGRyArax4OHz6IrKxl\nKCsrxcqVyxEXFwedTo+cnC1QqVRih9jkoHaPdKAkpQVx7Ng3uPPO7tBoNHV8R+MHcOtD2B6yWqvq\n3KJgGMY9N6BUKsImbQ/UP6AaDbRaXl7fbndU39lyXnfrwVZ0fv6lCmu2FeKHH5uX2Fv7RCXWLU4D\nG0b/pZrqlS1oWwlBCLCsrBSTJk3ErVu30LNnL6Sn90V6el+0b58UtjhD5datm5g48WlUVVmxdu1m\npKR0wd69ubh48QJmzpwldnhNDkpSpAPVAlsQtbVXfAnNZ8gfgW4PcZyv/wk/pKrVqhslbS9Q4z1U\nHnXlXM/tJX8tBk/dmWDUVBPbqrB4dhfsO3ADb++7DoejedxLPPb7hLAmKKFu8AhGghqNDjt37saN\nGzeRn5+P48ePYtu2zTAajdix4+2oKEL749NP9+PGjV/w5JPjoFarq60sjNDp+JZmfHwbnDr1vSix\nEUS4oEoKESDBVVm814srQ5IZ95W2D0S/hC/x68BxCIOKaPDIZPwdfCDy+v7aXkJC1tDP7WKhBau3\nFuJiYWg6H2KT3EGN1QtT3Y68oSJUz8KhveNvg4fjONy8eQNt2rQN6bVDwWKxYMmSBSguvgWHw4G/\n/OUpGI2x2LRpLViWX7+eNSsT7dq1Fy3GpgpVUqQDJSlEI/FecwZqBnALCy/DZCpD3759a9nchwNv\n/RJFrSFVX4G0aCPcwZvNFreybaD4tr2EAV0hcfH352p3uPDOh9ex78ANRFlqJmy8PLUz+vY0huW1\neGsHZVi8n0gDpWVCSYp0oL88opEIJ262+p8MHMfgiy++xOTJk1BaWhqRBAUQpO2rUF5eieLiUrfO\nil6vQevWsYiJMcBmswWdIIQDjUYFg0EHk6myUccX2l4VFWYUF5fBZOKrUGq1CnFxsYiJ0UOjUXt4\nOgEKuQx/fbQdsmZ3QbuEpjck2TVFh/vv64jYWKO7PdfYgoper4VCoUBpaajtPY4SFIKQAFRJIcKC\nw+HAxo3rqrcMXkVaWjdEymeoLnQ6LRQKOaqqqtwzLZ6ViEgPzer1WsjlbLWLbmT+dOq2JHBAp9Og\nqsqF1Vt+xOeHiiNy/Egw9/nO6HWXsfp3Jq924pbD6aytFFsXQnvP5eJC9uCRyooxIR5USZEONDgL\n/gL76qsLUFRUBLvdhqeeGo+EhERSbgyCQ4e+xNWrhXj99TdhNMZ4fCU8A7j14emeXFZm8mqJCBc+\nYUi1sQO4gRzf6XShtDSyOiY1wmQWL0sCvV4LjuPgctkwfcJt6NPDiPU7rqCkLLpeSMHS7XYtet3F\nt3mcTicsFqfbYFJIyPjZJqbOWR2ZTIaYmOD1Z/xBJoEEIS2okgJg//6Pcf78j5g+fSZMpjI8/fTj\nSEv7FR56aIxbuXHYsBGk3BgWwrvmLMyf1Lfe7IkwoCpUIjyrLI0Zrq05fmTdm+s7vtGoh9lshd3u\n8KpEFJda8NqG8/jqaEnU4wqUhS+m4K479A1+n/9ZHT5Z0WhUYfbg8dxyix7+ZO7j4lph2bIslJeX\nw+VyIjNzIZKSOkQ9tpYGVVKkA1VSAAwZch+GDBkGgJ8JYFk5unZNI+XGiOB7AXB5VVmAwFtDarUK\nWm1w5oi8NokdfCWCd89VKhXQ6TRBGwiq1UpoteHZIGkM/jZYfCsRr8zsiv/5dwnWbvs/VFRKq6py\nZzddQAkK4G9FXQaNRg2tlrckqFEvrlH4DQYpzJ/4k7k3GIwYPvx+DBs2HAUF+bh06SIlKUSLgiop\nHpjNlZg1awYefPBhMAxIuTHqeFdYGjJH5Oc/Qltv9qS2gSDfWrDZ7LWOIcy/8PMn0Vd/DcSg0JPi\nUjvWbruC7/5XOrL6S+d0QbdUXaOeq9GooVbXbPB4r3GzbqG8QMwfpZCgCPDbaXIcOPBPnDhxHKdP\nn8SYMY/g66/z0K5dO0yf/kI9YoxEuKBKinQQ/69SIly//jOmTn0Wv/vdAxgxYiTWrHkN69dvxdtv\n78XIkaOQk7Na7BBbAMKgoufGEAuOY8Bx/MXk+vWfMX36FPz44zmUlpaHNUFwOJwwm60oKytHSUkZ\nrFYb5HIWMTEGxMUZodNpoVQqEROjh0zGoKzMFPUERZB4Z1k2qA2WVrEKzJvZGc883h5Kpfjn3553\nGhqdoOj1WiiV3hs8drsDZrMFpaX8766qylbdCjMgLi7G/RxfHRYpJSgAr86clTUPq1ZlY8SI+1FU\ndA0GgxFr1mxAQkIidu/eKXaIBBFVpPGXKTLFxbcwY8YUTJ48FaNH/x4AYDR6KzeWl5vEDLGF4r3m\nfOLECTzzzHjcc89AJCQkoabiEn6EraCKCjNKSspgMlWA4zgYDFrI5XLIZAzUau9V4EjDD4ga4HQ6\n3fEEA8MwGD08HqvmpyL1NnHvxp/4Q0LQzxESNIZhUFZWt0Fk7d9dORwOJ1QqJW7cuI6MjGexbdsW\n5OefgM3mgNROg5mZC/DOO3uxbFkWDAaDexbunnsG4syZ/4gcHUFEF2r3AFi9egW+/PJf6NQp2f3Y\nhAmTsWnTupCVG/0NwymVKixePB8MwyAlpQtmzJhFm0MNsG/f+9i+fSteeWUR0tP7IFI+Q3WhUimg\n02nd/j++q8DCqmxjB3AbIlSJd1+cTg7v/eMXvPfP6wjTklPA9OtpxOypnYN6To2Cr92ti9MYOI7D\n6dMncfx4Pr7++mtcvHgBv/nNXRgwYBAefnhs2BRvG4OnzH1lZQWefvpxdO2ahoED78XIkaOQm/sO\nbtz4BRkZ00WLsaVA7R7pQElKhDl8+CCOHDmEOXPmoaAgH7m5b4PjOPzpT0+gZ890ZGcvQZ8+d2Pw\n4CFihypp9u//GL169UZiYjs/X42sm7NWq4FKVff8h+cqsEIhrx7ArTEQDBVhQNhkqmzUUGh9nL9g\nxuqthbhSFJ3NJBkDrFrYFckd1AE/x3ODKRQHaUBo79S4GJtMJnz7bT5++uk8xo2bIGqS4k/mPjU1\nDQsWZOLMmf+gZ8/emDcvC0ZjcMq8N2/edL+uTMYgI+M59OrVO0LvonlASYp0oCQlCvgOw+XnH8OH\nH34ChmHw1VcHcezYUXIqDSvhqbIwDAODgW/5BeP/U3sAVxBca3iI0xd+QDiyA7pVNhfeeq8I+7+4\n5Vd2P5wM7BuLmc92Cvj7BQ2Y8HrwiLNi3FiKiq5h6tRJeP/9fzTq+QsXzsWvf/0bPPLIn3D58kVM\nmTIJH374CVg2eq3KpgYlKdKB9mqjgDAMx6uxLsPx40fdd2xarQ6VlRUiR9jcCH3NmWX59oLNFnx7\nweFwViukWsEwjLs1pNGoAXBeKrF1JT6eCqq+AnXhRqWU4ZknktCnRwzWvl6Im8WRUeaVyYA/jwl8\nFkWjUUGtVqOsrCJk4T2pDcjWx6ZNOTh48AvExMSidet4DBgwCDabDXPnzsbly5eQlNQBs2fPhdFo\nxNixD2Lo0OHIyzsClmUxaVIG9uzZhStXCpGR8RyGDRuOwYOHoEePdABAUlJH2GxVsFgs0OsDW/8m\nCDGR/l9sM8FzGK6qqqZkbTZX0ski4vj3GRK2hnwHcK9eveJuL4Qy/wD4H8B1OJzVXjwxiIkx1PLi\nYVkZYmMNsNsd1RWck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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, delta_2], ['gbm1', 'gbm2', 'delta gbm2'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Vega Surfaces" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same approach can of course be applied to generate **vega surfaces**." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "vega_1 = np.zeros_like(a_1)\n", "vega_2 = np.zeros_like(a_1)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "for i in range(np.shape(vega_1)[0]):\n", " for j in range(np.shape(vega_1)[1]):\n", " vc.update('gbm1', initial_value=a_1[i, j])\n", " vc.update('gbm2', initial_value=a_2[i, j])\n", " vega_1[i, j] = vc.vega('gbm1')\n", " vega_2[i, j] = vc.vega('gbm2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The **surface for the first risk factor**." ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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HJtGlN4PGOm0AMbE2GjBNC8ViedkJWFGc8N7Y2EhN6CV46aVDP0uh0z1VRmnM\nGIabRFztduuGXtyyW9M06pKOO332zNigD0sQHTC6CaO4HU4Bu1LOKstiQLW8IOWr3VWz1LaBt207\nMgOnZjS6+V3d3AwAsQ7zxBH3BOzE9m0sLORqQi+1pZfLkw+9QpY6J/cjftUxu5gBdD0zraXELctq\nITrmfPbpdAqAvUxyvRaOY8YGbfo5jDI5OfknAG4CIAH4/NTU1JdbvZYZG0t43TxbdTgN6q4Po3y1\nE83awAuBXHj0W9u773ehUIaiyOzBFwLLQy98JfE0mayGXqobkN7RIKWXINrfm100pbveJ2gWdmtX\ndusaqf7W1r+baJT0axhlcnLyOgDXAng5ABXA+9u9nhkbS3TybLiqlI06DvXj6c0fdGx7I8nvnN2P\n80qzShNFkdDtSTGuOhutobnY5u9bs46nTt5Hbc8Px/3ubkJ0hbCio/9LR4Ndv1PZrSSJSyFm4tvz\nxWhPH3s2XgdgF4BvA8gA+EC7Fw+EsRHkXndUNL2UswYT5qIFz3NLjdNatYHv1bpbz1k1jMp1uST0\nDIe4GDDxOMG7oZdG97uT+5FYarde1X1wXO09XHAAosipoEnYxkxj2W0qpYIQpxqm0fMVP72X/oTE\nJdu8e0YBbAJwI4DNAO6ZnJy8aGpqqumXYSCMDS808w7UqmjOz7dX0eylMJdTHbF8bKtNu3Gs33UH\n88Qs/3vXMHJyC8LSzYinERg1Qfe8ajzf0X1wQy9uszn3RFxb/RAGUXgGaBp50XRkpXl90iLp2A27\nVaX23ZDb2bMzUFWVmqH11a/+Ex5++CfQdR1vfvOv4cYb30hlnqjo1zAKgHMA9kxNTWkApiYnJ0sA\nxgCcafZiZmwsUbvZO+WsCfC8d92JcBq5+R1Zv6F2q2DqP/civKecF8MoPvSnARPmplQbekmlVDiJ\nhiYkqSo45jYccytf/Mb+aUJXkKz/O7I2S6BtpvfidjmWJBEf+MAf4dixY7j44kuwY8dO7NixE9u2\nXQxFUQKv56mnnsCuXc/i7//+yyiVSvjXf/1q4Gv2nP6K89byMID3Tk5O/hWANQCScAyQpjBjYwn3\nhF9bztq97kSQ+f1vYLVzdyvd3YuGarV0DvPU4u896vT70S+v9E6/PndsGx1CL7WS2473w0vsP5rS\nVzoTxOl75Revxky1yzHw+c9/CTMz5/Dcc89h9+7n8KUvfR779+/F3/7tF3HRRdsDreexxx7F1q3n\n48Mffj/JMwqMAAAgAElEQVTy+Tze/e73BrpeHOjXnI2pqanvTk5OvhLAY3C0AN49NTXV8qZmxsYS\nHEcqrmC3UqM7gp12g5aSEsIhk0nCMMzIFEz9CpG547r1Zvh5j2jKaIdNv29MjTSGXhzJbXFJclut\nSzpsLTrVz6JeUZS9xtNzMjKyCq985atx3XU3AHA8YTwfPFwwPz+HU6dO4lOf+ixOnjyOD33offja\n1+7u68qXPg6jYGpq6oNeXzswxka7jcrd9ABHxyHs63u8Avye2iVJhCDwyOWKXWeK+xEzC4qbdGtZ\n/dnTpM+WSx1CvLU5r0puO3/mOFIxPlzRKSf0UtX8oL+H0PRs0E2cjcJz4tfYaAwrh2FoAEAmk8XG\njRMQRREbN05AkmTMzc1ieHgklOv3gj5OEO2KwfgtWyAIPDKZJHiew8JCIdC1wuwa6xVRdNZv23ad\nGzMq/Kw5kZAqm0ouV4zI0OjfU09/4O/9tSyn6mVxMY+ZmXlMT59DLud4FVU1gdHRYaRSSYii0yAw\nrA2rFvpN5Oh6NmhXMMVN52Tnzsvws5/9F2zbxtmz0yiVishksr1eViAIR2L7EyYD49moxTlZJyCK\nPAqFEnTd2aTD6kbqh1YVJc2obQPvdmdNJCTf8wY7PXp74NUKimmat3h9I/6E0+LzoFzZBH+fbRvL\nup0mkypkWWgIvQTr91EPXc8G3e9ffMMotHj5y1+BZ555Crfe+juwLAvve9+HqBihUUL6OIzSDQNn\nbLQrZw3SnyQ43sIotevP55318zwXwKsSJDHVW3KpLEtIJKqCYqoq+5zTjzuXRn5Ff1aj9CO2bUHX\nTSwuOt91juMqZZeOV1KoU7zUNL2rzZH2/b4ywij+xtG6R971rv5PCq2ln/NNumFgjA2Oc5p4EdK6\nnLUaCvF3BwfxjHQKw/gpx/U2L70KiGby6LTnjIr+Wz+9BUf5XliWhVJJQ6mkVeYWRbGieOlUvVh1\niaft7hWaD/r+VycNFgoalE00KIOSszEwxoaqJmAYZuUhRQu/p412G7BTPti6HDdYX5agp/TmY90S\n4kZ59CDQMFJkWUQqpVQEiTptTu46GPX0qqKjWeilVvPB0QAhdUmntaEX+sYAtcvHuhqF4R0WRllh\nLC4W0cmADJ7k6W7cfm/O+rndNvCEkEp32RYzU2/i1nzs8nkdD5KyzJvRMBJhnrRt20bx8cdAUimI\na9eBz2brPsdmn6n73gJALldYcs9LDZuT87NyekHQ2jT8fedNy4Zh2iDEgiQ0fxT5Md4bk6VrQy+K\nkqo0G3NktmlvqP3u2WDGBm36VWejWwbG2PBCLypK6ueu/rm2DXytUl+reeOA1zX7f59aGCn7nsbC\nF/4GB777IgCAEzkISRliWoGYTUIeyYAbSkNcNQxxbATymtVIblgHbWwM9tg4kMnAsm0Ui06ybbUT\npghVre+CGpaXJmp65dE2TAu6acM0bVi2BduyQGCCgwkOVmVdhq1AEGUqa1geeiEVwTFCgLGx4Uro\nxVU7DSNMGY26J7XLB4aFUbxBCAujDBy97m9CCGmZ50Bv3uBjvXkzgtPs87ELi8BPvo3xK9Zg+plT\nWDy6AEu3oM0Voc0VgaMzHa9LeAIxKUNIJyBkVIhDaQjDaQgjQxBWDUMcH4W89jwoG9YhuWkDlA3r\nQQiHVEqtuOf74fRHY4mWZaOsGcgXNBTLOmzLgm07BgUPExxxJuWXflo5tHStCEIIeKG+qorGhu02\nGzMMA4qSwPT0TCX0IssS0un2oRevRNG3pN9zQhgsjDKQhNHfJMDsIIQgnVY8eTPigijyUFW5qzU7\nZb7B57ZtG/jx3UCpAEIIttx4IZ794pOwuzR2bNOGtlCCtlACjs91fD3hCARVgjicwoW/fx3SE+Mg\nw+OwR86DuWoN9NQYVkYDdgfLsqGbNgzTgmnZjjFhmyCwwMFEuTgPoOZh4vMW0soFSIQDz0f1WKqG\nf6qhF8e75YRexCWNj2roxfVueel02u/GADM2ooGFUVYY3u+ZYDkbfowVnueWWjcTLCzkI21Y5XfN\nHEcgCLxPb4aNUPTk9j4NHNhd+aM6nsKal63HiUeOBr92G2zLhp4rQ8+VsfeffoLtv3FhnUYKx3Hg\nkylw6SyQXQUrOwpreDWs0XWwUyOxK2WxTQOcXgDRiuD0IoheBGdo0GweC0MbwBMnxMeh5lOj9Cto\npRzkRBpcBNoJ7TwPTuiljFKp2unUDb3Udzqtej+Wh15of879L4dOi6NHj2B6+gxSqRQAIJFIQJJk\nyLIMnhegqk6zwFjAwiiDR9CmZH4VNZ3+IBoURYplZ8xG3NwMRwEyym6e1ZwNO78A/OTby16x/lUT\nOPfcNMpzpUhWlD80jdPPr8GaHZnqX1oW7MUFmIsLwAnH8CFYCiMIAkgyDaSzQGYE9vA4rJE1sEY3\nAEoy9PXZlgVilGDqC0C5AKG4CE4vgTPKzo+pgbOaJ8DKAAybh7ZqTejrake5nIOcSIHjeBBC2iRG\nB6ObMnc39FKbsyMIAiRJQCLRGHpxDBD6CqJx1vHorUF9+PAhfPGLf4c1a9Zh1apVKBaLlTD1/Pwc\n3vzmm3Httb8Ay7Iib9fQCAujDCBB+4R04yVwvRluG3gAUBR/KqC1c3ffFM27gVRfHVOIXLW0Krpm\nAz/+FlBeLjHPizw2v+EC7PnaLl9r88PR+3ZjaNM1UNIevjuGAXt+FpifBXAIQI3HQJIxm85ATDke\nEXt4NaxVa2GtWgeIzd9r29DAaQWQikeiBE4vgzPL4AwNnKmD1Gyo3X5iw8XjmF5MwkpnOr84LGwb\nWikPWUlFMZVvDMOAYRgoFBoTiwUoSgKCwFe8HV5DL93Awiitufrql+Ghh+5HqVTCDTe8HjzPQ9PK\nME0LudwiNm2aAICeGxrA4CTSMmOjhnB0HDpfoFUb+N586byVoTarNAm9qsQre58GDu5u+c/DF6zC\nyPYxzDw/7X+OLrANCwfu24ftv35hsO+PVoZ1bho4Nw1gH4CqIUIUBUhlYE5sgzQ+WvVK2PSzQ1bN\n78MZ6WIQmU61SDNs20K5lIedTlLsXRLuZmqaFkyzGnpJpdTKZpZKOW570zQ7hF68Q9Pr416/H40N\n27YhiiLe/vZ34L77votVq0YrxkUsiYHBEwXM2KgjuM5Gu+GCwFfExcJuA+9Xar2TwdDozVgeMonW\nQGoVPmlk8+vPx/z+GZjlaDQycvvP4PQLa3De9jSV69vFIlAsgpw9A+vKayFlVCrzNIODheFz+zC7\n+iKQCPtQ2JaJ+dkZJNP92WiLEFLn+QCcdgOi6IZekgDsOrXTbjRd4iwa1svTumuErVu3Hr/6q2/G\n0NBwz9bihSjvqV4yMMaGl3vGeU0wY6OVW05VZYiigHy+REUkKqjUejNc5dJWlSZ+c1z8ekQsy4bx\nwDeahk8akdIyNrxmMw7dt6/7iXxy9Hu7kd14DZQURQls24a56ymYV10DXoru9pWtIpLnjiA/OhFp\n9rymlYHFeXBCIvQNrBc6GI5SbbPQiwhFSYDnucprOoVeougq24+eDcAJj9i2jbGxcRw5chjFYhGK\noiCRSEAUJQwNDcUnfMGqUQaPoAmiwPJN1CkNTUDXlzd+Wz5/PIR6vCuXRou15wmY+571/PrzrlqH\n6WdOI39ikeKqqli6iYPf349tbzmfasEJKRVRfGEP1Eu2RxpzTmvnoM0nYQyPRzYn4BgcvGVDkqPz\n5oSBF+O/MfRCCKmondaGXlyxMU0zKvcjy9lojXv4uu++7+KRR36KfD4Hy3Ke77OzM/j4xz+N9es3\n9HqZAJhnYyAJT67cuVEVRYYg8F14M/zLnYelEVL1Zugol9v3kXH0Mrqf089a7fwC9Ifu7moMIQRb\nb7wQz/7vJ2lWCNaxuPcUzkytweqLwq8sqYU7exLFYyNIblxLdZ5GRvJHcEZSgST95M1aTEODTjiI\nUiK0a9LfTP0kbDsVXrWeRCf0IiKRkJFOp+CGXnieB8/3byM5mrjPmLvu+jJuu+12XHrp5SgWizAM\nA+VyCatXn9frJVZgjdgGkOAKom4Xymob+IWF9t6MZuOjvr/d8I+qyl16M8LtcdJyFrf6pNQ5fNJI\nck0aa166Hid/dozCyppz5N5dyG64Gokk5fdm73MoZTJIDEW38RMAo3P7cFbcDkj+q6f8YOglEEKo\nyZqHTVj3cjX04vyZ57mlRnMqkkkVqVSyLuyi63oo83JckJyQ3oYGXI/fq171Gqxduw6qqkJVk+B5\np5yaj5M3IS7hHB9MTk4+BWBh6Y8Hp6amfrfVa5mxUUdQ74ANQeDB85yvNvBB8i6CejbSaRXlstZV\nV1waXVibsvfnbatPOrHhNRM498I0tIVyiItqjaUZOPjDg7jojZupxoUJAHPXUzCufhkESaQ2TyO8\nbWB0bh/OjU7C5qJ9aLeSNfdDv4YhTNNCsViGoiSwuJiHYZgVtdNOoZfu1o++0P1px+bNW/DpT38C\nl19+JdLpNARBhG3buPnmt8ZH1CtOhk8XTE5OJgCQqamp67y8PibvdjR02hxrwyDd4tbW27Zd0c2I\nmm73NUIIkkknNyOXK/pMXKUbRnGqT77T9Ry18JKAidefjxe/8Vyg63TDwp4TmN53HsYvoJtnQLQy\nSrufg3rZpb5CWn7htQKG5o9idngisjldHFlzAp4PZmD18YESQNWYcUIvWl3Y01U7TSRkZDKpGlEy\nx/Ph5V53rh+PfC2//PM/34lrr30FZFlGLpeDYegolUrxSQ5FX4dRLgWgTk5O/hCOLfHhqampR1u9\neKCMjU74OanXJlMWCiXfQlfO/MGaonWz8TvGkYxyWQfHEZ8nGLqnnkrvEw/VJ51YtW0MwxeuwuyL\n50JYmTcO/8cuZG+7CrJK92HCzU6jePgokps3Up2nESl/Fik5hZw6Gum8ABzRr0QKXMA+KnEtHQ16\nfTf04sLzfCXx1GmNwHUMvfhdf297TNUzNjaOd73rPb1eRnv6V668AOAzAP4BwAUA7pucnJycmppq\n2rWQGRsBqApdOcmUHMdFLnfe7dhGb4ZpWhBFIdISVq/w+5+BeTA8b8TmN1yA+YOzsPRoTmtWWcfB\n+w9j8qYJ6g9fcmAKxewQlJEIlT4BqDOHYSWSKHBKpPMCQLmcr8ia+6FfwyjV63s3lkzTRLFoolh0\nQokcRypqp9XQiwFNMyrhF0evon/DKJqmQdM0fOYzf4lrrnk5stkskskU0uk0xsairahqRx9Xo7wI\nYN/U1JQN4MXJyclzANYAaNqcihkbDXhJ0qx6M9CQTBk854NmYlWtN6M+NyPIvH7CKJ2NlIRVRunH\nncW7ukHOJrDhus04fP/+UK/bjvnnj+PsjvMwtpX+Zmztegr6NS+HKEeXv0FgI31mL8pj22AGDGt0\njStrnkjF0hVNv3eJf2PG6WvUPPSiKAlksykQQir9RLyGXuKEZVlIp9M4ePAAnn32aRSLRczPz0NV\nVXznO/fFxwPTvzobbwdwCYB3TU5OrgWQAXCy1YuZsbGM9uWnsiwhkRCbCl0FFwUL4tlofeMQ4hhH\nHEeaJq7671XiV5ektXHD8xxUNYH8v30Fdsl7JY9X1lyzDtPPnkLhdPjXboUbTpESlL0bho7yrmfB\nX3FFpPkbMDSsmj+MM8NbIncJ27ZV8XB0u3FEUfraT11Zq6GXIgBgZCQLXTcgSQKSSQUcRyqhFzf8\n0mZ1oa3LL4lEAp/85F8BAPL5HBIJpa4KJRaGBtDPYZQvA7hzcnLyYThf9Le3CqEAA2ZseNlUWzU0\nczfBdi3Vg3eNDd/SrvVm5PPeK016gdsBd/GpR7oS7+oGwnHYcuMkdv/jU5Fpb5hFDYceOIILb9xE\nfS5ufgaz+05i1YXR6m+QwhxWyadxLhlth1jAkTXXSnlIiWR8NhDEQ6AvCIQQlErlikejGnoRkU4n\nIQgCDKNW7VRfEs4i1D6H2dkZ/N7v/Rb++q8/17HfiWEYeOyxR/HAAz9ALpeDJIm44oqrcNNNb4pP\nJQrQt9UoU1NTGoBbvL4+Ru94PGhmkNS2ga9tMR0nGqXSHW+G7KkM16+R47xXwcMoriFnWRbmT56C\n3aV4V7ek12ew+iVrcfqJE1TnqWV211GcvXgco5vph1OUo89hdngYw2PR5lEIs8ehcgkUlOh7UViW\n4VSpyKrn72S/52zQptFYahd6UdUEdu/eiz/90z/Fjh2X4KKLdmDnzsuwadNEaCq3hmHgU5/6BCSp\nvc6K+zw7dOggvvrVf8Qv/dKv4LLLrsDx48dwzz3fxsLCPN72tt+PTxilfz0bXTEYv2UX1H4BeZ5D\nJqOC5zksLBSoGxpBv/zuUFEUkMmolfb1QTpLtsfvg7QaRpFlCamUgnJZQy5XhP3QvwHlYmgrbMXG\nX9wCMRWtKNWhe3ZDK0Wz+YjP/QyFQvQbXWrmIESd/ufXDMvUoWu9mbs59MIoURgyXubQdQP5fBGz\nswtYu3Yj/uIvPobt2y/Gs88+jQ9+8I9w44034FOf+ngo6/m7v/ss3vjGt2B0tH31k/sMNQwda9eu\nx003vQkbN27Cy172cvzWb70Nzz/vaPbEpQ0DOBLfnxBhno0G3FN3qzbwncc3D8N4JUjOBuBUmnQr\nKhaZOFfDfOm0Wh+WevHnwKFotDCEhICJ123F3rtfiGQ+ADALZRz88SlMvo5+qIEzdei7fg7jyssh\nUJS0boTYFobO7cPZsW2wA5al+sGRNScQpc5eHfot2umFUeJibDS+fuPGCWzcOIFf+ZW3AADOnj2L\nc+fOBl7L9773HxgaGsLVV78MX/3qP7V97YkTx7F797M4ffo0Tp8+hR//+EFMTGwBIQRPPvlEpSdK\nLLwaABCxMF6vYMZGA4Sgpg18wUdvA/8PGcdQ8edscuvoSyUN+Xyp84D6meG/qqT7cdKS2qWmVXtA\n2PkF4KfhVp90YnTHakzvK2LumUORzTn31H6cvnQDVp/n3YD1i5g7h/m9x7DqomgbTnFGGcNzhzAz\nsrUnylmGXgYhXEdZ87jsNX6IIh8kDINmdHS0oyfCC/feew8IIXjiicewb9+L+NjH/ic++cm/wqpV\ny689MzOD++//PoaHRyAIAu6668vYvHkrTpw4jqNHj+C3f9tR1I5NiCuGlVQ0GChjo9N3S1Wdxmnl\nsl6pR/cxSwDJcX8qoO66DcPsSm48yLxLI7t6da3GB4CqoWHbwI/ujiR8UreeiYtw0R0X47F3fBGW\nRn/zdzl69+MYesdVkAX6cyrH92B2aATD59FtDNeIWJxDJncKC+noE0YBR9YchEBoK2tOzzsQ57LX\nfuRzn/vflf+//fY/wAc+8OGmhgYATE5ehI985C9QLDqyBBzHIZ/PQxAElMtlZLNZAIhPf5R+tnq7\nYKCMjVYIAr/kzTBQLuuBXKvB7v/uPAzVhm868nk9gHppkARRb6911+pqfAzVNg978anIwicVhscg\nrRkDxxFM3PIKHLjzocimNhfyOPDTM9j26pFI5hNf+BlK2euQUKI9QSnzx6GJSZQS0QqNuejlwlLT\nreb6H3QNgv4qe436+jQRRRGimMXp06fx4IP3I51OY2RkFQzDgKomoevnIZVKQ1XpthLwTA/Cjb1g\nMH7LFji5GQkIAo9CwWkDn0hIgWJ5wSTHvauANlaaCIJ/Kz3YM6X9gt2wVKs8Eid8Eqz3SdeIMsQL\nt1W8lxtvvhanH9qN/OHpyJaw8OjzOHPxdRgfp+/d4CwT9q4nYV15ZbT6GwAy5/bDWL0dhtCbTq3t\nZc37N4Ez3ten+x37u7/7Utt/N00TPM9j165ncP/938dFF23H+vUbsHv3szh58gQEQcC2bRfjttv+\nEOedF4NW88yzsbJp1QbetoOF0PzmMThjOxsqtevO56s9Q4IaOX5+5066IoLAI5lMLFtr7Xj8KJrq\nk7p17XgJasvsOYHH5HvegKfef1dk2hsAcOTuJzB060sgCfSVGe3FOWj7DkK6YDO4CB9uxDYxdG4/\nzo1F3yHWRSvnoagZ2A2bIN0ETtphlP6+fhScOHEc73jHu3HDDa+v/N0Xv/g5XHXV1Xj66afwyCM/\nwVvecnMPV7gEK31dmbh5A4oiIZcrNsnNCCoZTi8G7KxbRi5XWrbuYBUl4cukq6rsKIHml68VWFrv\n3qeAQ8+HOm8nyAU7IarLbeyhSzZhzWsvi3Qt5lwOB/57JrL5rKP7UT4zH9l8LrxewND8kZ7tXk5X\n1DxGhjMYGkpDVRNLnkCaRhfdMEq/h2mioFwu4+DBAyiXSygUnAPliRPHYBgGNE2LURiFj+9PiAyU\nseHqZrTTnwiqdRG0c2uzsY5uRhKWZWNhIQ/TbHYS9m8wBDFUGtfL8zwymSQAgoWFfMt+ClZuDnbA\n1vFdM7YO0mi25T+ff+v1ELPRPoDmH96F6bPR9RSxnnsSWiF6YTopfw7pQnRhqkZMw8DJE8dRKJQg\nCDyGhtKQZRGplIJkUoEohuvk7fcE0WDl+70NC7iJn6973Rtw6tRJfOlLf48HHvghPvGJP4eiqCiV\nSjhx4ngoVTJhYBMS258wGagwimFYHtQ0g4XQwuzcWptTks+X2jZC6pVno/aBpCgSJEnsqE1i2zYK\n3/uXaMMnShLy+VvbhovEjIrzb70BL3zm36NbF4Ajdz+J7O9dHkk4hdgW9KefAP/Sa8AL0W4KyuwR\naKKKspTq/GIKWJaJxfkZlMtOH5Xh4Qw0TQfHkTr5bVd6W9OMQBtuXI2BOFyfNrZtY8eOS5DJZPCf\n//lDvPDCc5icvAi/+qtvwcGD+/Hbv/12TExs7vUyHQYkjDJQxgaAjkJXvfRs1G76ouhUyDTmlHgZ\n2/WsAQ2sWrlxT9okLz4FY98u/xN2CyGQLrnCU17KmtdeipP3P425Zw7TX9cSxswCDj02iwuvjaZq\ngxRzKE29CGX7ZKQNJwmAzNn9mFm9PfoOsUtYlgmtnIckO31UahuKEeJWMghQVQXZrADTtJYMD8f4\n8FqpFqf28v6u39/GhivYtnHjJvzu795a928XXDDZo1U1p1e5TFEzGCZVFwRJ8Axnbqd6Q1Fa5zu0\nGxs1tm1X5Mbz+VLHB1Qvqk+kS64EL3p/cybf88sgYrQPgNkfP4tT09HJp5NTR1A6dS6y+Vw4S8fQ\nzH7A7p1UtGUa0LXisg3btrFURu7Ib585M4P5+dxSlZqM0dEhjI0NI5tNQVHknuo0MM9GZziOg2VZ\nME0TlmXF9/chXHx/QoQZG8sI9oUM4tngea5yk7fLdwgbP2t2XM9O06vFxSI0D6JYvag+4TeeDy6V\n6GpMcsMoNt18LaUVtebIt55G2YzuxG8//3NoPegELJRzGJo/Hvm8tZiGhvm5OXS63w3DQKFQwtzc\nIs6cmcHMzAI0TYckiRgezmB8fGQp6bQ+76PfjYE4l752A8dx4HkeHMdRl6f3DSHx/QmRgQujdPIA\nBA+jdP8Z1eZmAAigXhoNsiwikZBQKmmQZQmeDbQXo60+IelhCOvW+rpnNr31FTj9o+dQPB5dtYg9\nM4MXHy/ikmuiuS0JbOhPPw7+pS8DL0Z77pBzp5GUVOTVVZHOW8viwjwkWQXfVmW0HtM0USyalXuU\n4zhIkgBRFKEoKfA8B103Ks8RWuEOZ+OkbWxQu3wknDhxHE899ThEUUIikYAoSsjlcnjNa66PVYt5\nOy5KppSJzzseE4KHI7rLnajVolhYyNcra/rAz8OtGzExV258cdGRAnaMjc5leHZ+PtrwCc9D2LbD\nt2YKLwmYfM8b8PSH/jncdXWg8NCjOHHB67F2VS6S+UipgNILe6Ds2Ba54Fdy5hB0UYEm9q4EUSsX\nIAIdZM1bY1kWSiWt0iaAEAJJEpYODwLGxlbBNA1omrGU96GH4pFw7lfaOSH9bW387d/+FebmZjE1\ntQcTE1tw9OgRjI+P49Wv/sVeL60eliA6mETp2XB6mgjLKk38nobczq/dP4Q6G0iNcuO1c3b6fXsR\nPuEuvhJCF3kazRi5fAtWv+YSnH4wwmRWAKf+/QmM/+4OCCSafi1k+jhKx0ehbhiPZL7KvLCRPbsP\n51Zvh8X17lGklwsgIOCF4CEsR9NDB8fxSwnTeYiiAEkSoaoJZLMpWJZVMT50XffcnbmeeIZRgj4/\nw+TAgf34+te/g7//+7/FLbf8FvL5PD772c9AFHuTnNwKliDK8IWXm00QeGSzTmOsxtyMqsHgZ25/\nXpl24xpF0Pw0enPCJ9G1ciebJiGlwkm2vOAdr4WQ7i7nIyj66bM4/HS0qqp48RmUF7rtFhwcztQw\nNHOw53KVWjkPywzPuKs9MOi6UZd0Oje3CMMwIMsSRkbcpNNasTEv14+nsREXNE1DNjuEmZlzGB8f\nx0MP/SdWrz4Pp0+f7PXSlmETLrY/YcKMjZDpVM1Sq6xZKLRQ1oxcL6P5OEHgkcmoS2JizUXQHFrP\nGXn4ZGgM0trVoZ2upOEktr49erfr2e//DLOL0YYXjGceg6FHn0AnluaRXez9JlAu5WFZ4SRlt9us\nDcNEoVDC/PwipqdnMDMzD03TIAgChobcpNNMW7ExVvramZ07L8MDD/wQ27ZdjJ/+9Mf43vf+A6Lo\nHEJi9bv1OgmUJYj2Dtc74e8L2XxMbWfZ9roZfkMh4Xo2WoV4lo9tHUaJPHwiShAnLwrU26YZa99w\nBY78YDeKew6He+EOHLr750j/9nYIXDRVSUQro7x7N7hLL4k8fyOxcAKalEQx0VrhlT42tFIOciIN\nEvaXqA2maaFYLNcknRKIoghJEpHJpMDzfEVszNUFibdno/dhFEmScPvtd+D553dj+/YdeOlLr8Zj\njz2KP/mT/wmg/YEwavo9jDI5OTkO4EkAN0xNTe1p9bqBMza8bMjua/zmTTR+kVVVhih23ri9rq89\nwW4i70aRB6aejDR8wu94CQQKqpgnimmM/z/vweHf/CAQUTkyAGgnp3Fkl4Ytl0b3MCIzp1E6Mgp1\nYhOwy1wAACAASURBVG1kc7qkz+2HPr4dhhht2KoW27ZRLuUgKymQAG7kIJu1ZdkolzWUy9WkUzfv\nI5VSK5UUimKD4xxhsrArU/yu36nA6f1Gns/n8MgjP0U6ncajj/4Xrr76Wlx//esAAIVCIT59UYC+\nThCdnJwUAXwRQMcT5cAZG16oGgzBvAvVjdvEwkLek/ESvLeK33EEiiJDkgQUCiXourdNtdV67fw8\n8HB0st/k/EsgqeEnfh3NZ8BtmkA2wWPsd27C9Je/Hfoc7Zi+71GMnH8DhpLLu+ZSY/9zKA0NITEU\n7QOZ2BaGZvbj3NhFPT3t2bYFrZSHlEj5vhfDLE21bbvi1XAZHR2CZZlIJBLIZFKwLLtGZt1v0mkV\njuvP0lf3eXT69Gl84hN/jpGRVRgfX42zZ6dx+vQpqKqKK664Eu997wfi0V4eWNaNuM/4DIAvAPiT\nTi9kxkZL/H4B6jduL96MsPDrFeF5x7LmOOJNbrzjOmzgoQjDJ2PrII0NhX7ZQ7khyFs2QpScjW/1\nu34Dc99/BPrxM6HP1RLbxsFvPYtL/sdkZOEUADCfeQz6Na+AKEe76fN6EUNzhzE7vDn0mHE3NMqa\n+4Publ0olGGajhEqCHwl9JJKqQBIjcy63vUziBBQ1fGgja7ruPHGN+L97//jyt/96Ef/iaNHj2Dr\n1gvwuc99Fh/96Cd7uMIqdg8rsYIwOTn5NgDTU1NTP5icnOxobPSv/4Yifj0EQLXjICHtu562nzvI\nw627sYmEhFRKAQBPcuPLZmxm4Ew9CRyOKHySUCFv3Rp6jsH+3DAS52+qGBoAwCky1v3ZrW1G0UE7\ndgpHX4imDNaFGDr053bB6sHxVirMIJ2P0KBrgSNr7s/4jiKnotaYMQwTxWIJ8/M5TE/P4ty5OZRK\nWqXD7fj4CIaHnaRTSersAezXrq/umk+fPoVjx47U/Ztpmjh58gTGxsZilSDa686uAbq+vh3ADZOT\nkz8CcBmAr0xOTrZ0F/WnSUUZvxu+680AgELBXxlhmF1j28FxBMmksiSNXqiU4vqjOmm04RMC4eLL\nEbbHfe/iKmQuXF/x+NSSedWVyL72ZZj/4X+HO2kHzvzHf2HV5huQUSMMp8xOwzh6EtLG6PM3lLmj\nMKQkij3qEOtiGjoIKUGUlK7G0a4W6aSz4YiNlVEqlZfWQyBJIiRJqOR9VDvcGsvExvq1GoVbSuzd\nuHETRkfH8A//8AVccsmlmJ+fwxNPPIZNmybw3HO7kU5H0/TQC2GXmEbF1NTUK93/XzI4bpuamjrV\n6vX9+VsGwFveRHcbvlMimqx4M3rV7t3rWFkWkU6r0DQduVwRtm0HWHP1DY06fMJtuxxiIlxLYyo3\nhuyFG5oaGi7p990KkgxinPnAtnHgO7th2tHessbe51CaiUbNtBYCIH12H0Q7Wo9OMwy9DF3v7vAQ\nt66vjtiYhsXFAmZm5jE9fQ65nOO1UdUExsaGsWrVEDKZJBIJuW+NDZeJic14+9v/AHNzc/j85/8G\n9957D2644XV4xSuug23b+M3f/J1eL7GCzfGx/QkT5tloQjeejWpSZbnSqroX5atextbLjRcaYrL+\n1lw359QT0YVP1m6GNBzuhv9CbjXGJtc0fRMtCzg1L4OXElizbQzpj96BF9738VDn70T58Akc3bMV\nE9sinRbms487+RuJaB8XxDIwPLMfZ4bPR+juqy4xtBIIOAiiV7E4uqGEoMaA2+HW7XILAIIgQJIE\nJBISCCEYHR1aeo2xlHQaXc5QGBBC8JrXXI/3vvf/giAIWFxcQCaTxcaNm3q9tDr6PEEUADA1NXVd\np9cwY6MpnT0EPO/0NGlWaRJ26WwXo9Fq3U6/huVy49V5g7h+CezcPPDTiMInqSzkTRtCzR88YKzD\n2OTYMkNjschhtqhgbDSBTRurG96md96Cw3fdjcIzLcvKqXD6nkewauJ6pJXowinENKA9+3PwL7kS\nHB/tg5EUFzHEH8PcUO83CF0rgBBvsuakD3uLGIZR6XK7evUqzMwsQJKckttkUqmU2WqaAV3Xaw5X\ntfR243Sfn3v2vIDvf/9e3H331/Hud78XlmXhmWd+jo985KNIpXobmmukX8Mo3cKMjSZ08hA092bU\njvdfOhuEZusmhEBVZfA8h1yuGLgkbvmcNoAl8S4tArlrjoe4fWeowl0vlDdibMtI5c2zbODUnAxO\nSmDtuISRJsmnhOMw8f9+CM//8u8DUZ74LAsH7nkeO27eAp5Ep/ZJFudQ2n8I6oWbI5vTRc5NIykl\nkVdHI5+7Ea2ch0RS4Pn2j06aYYioBL28drjVdQNnz56DbdtQlPDDi4Zh4C//8s9x8uRJ6LqG3/md\n38Mv/MKrmr7WsizwPI/vfe8eXHrpFRgfXw1JkvHmN/869ux5AQ888H288Y2/BsuyKvkdvcYm/S3q\n5RVmbDTBtu2mX0Se55BMKjBNs2OJaBCtDL83gW2jbhMWRUfnQ9MM5PPtT8JBDCTz+cciC5+IO68K\n3GCtlue1CYxvHQZQ48VYVe/FaIZtA8lLJjH+tjfjzJe/Gdp6vFA6cAzH9m7BpgsjnRY4ug/F4REo\nY9GrfCZnDsMQFJSliHNlmqCV8pCVFLgehXZoJ5+2un6rDreiKOLf//1buPPOOzExMYFLLrkMO3de\njp07L8Pw8HDg9fzgB99DJjOEj3zko1hYmMfb3nZLS2PDpVwuI5PJ4NChA1i92imQSCQSkOXeCca1\nwkPVx4ogHqZdhPhNEFUUGamUgmKx3LFENGgsNYzkUlWVoShODxb3ZEIDa2EO+kPfonb9WsimSfAh\nCnc9r2/B6OZhnJiTcSqfRXZ0FbZuSiKT8rqJEKx9/60QzxsLbU1eOfWdR7BYil4F0dr9BLSi3vmF\nIUNgI3NuPzgr+rmX46iMWlZrz9JK8Gx0wu1wm8sV8Bu/8T/wne98F+985x8imx3CPfd8G29965tw\nzz3BRfBe/errceutt1XmbOdVcg9qV111NfbseQE/+clDOHbsCB566AHMzs5g3br1ld8xLvS62VpU\njdiYZ6MJtXkTjjcjAdO0PAteRa2VUZ3XKWnNZJJdy437WbNt29Af+D/RVJ8MjUJaNx7KQ8KygeeM\nC2AOr4GdSOL8VQJ0vdtuts73gE8lseEv7sCBP/jTwOvqCtPEgf/Ygx2/tgk8iS5cRywL+jNPgb/q\nqrYVOzTgTA3DMwdxbtX5PZd4nl+w8YPvnsRvvmUt+CZ5LM6GTWfuuBgbjciyjEsvvQyXX34VAEfX\nIoxQhSstXijk8Wd/9iHceus7W77WfT5cf/3r8P3v34v16zfgwQfvB88LuP32O7Bz52V1r4sDFguj\nDDLOhq8oEiRJbJmb0XJ0RFoZjUgSD0EQkMsVo1Et3fMErIPP059HkCBObkcYul2HiqPQR7dgy5bx\nymYZVClx+JeuQ/b6l2P+gUeCL7ALSvuO4Pj+zdh4frRVAiS/gNLUfijbzgcX8UNbKC1gaPEU5jLR\na38AwNwi8C/fmsOjP3cM+aGsjF993fJcEroJonTzwcIyZlyBwzA4ffoUPvzhD+BNb/o1vPa1r2/5\nOvfQdPfd38DY2Dg+8IE/xdBQ+OrCYTIoYRRmbDSBEA6iyEPXbZ/y3cG0Mrq1ul3vi2XZ0HXDl6HR\nrZFj56IT7+IveQmEAN/Ukilgb3kDhDUT2HxZetm/cxyBIPC+JJ1dNn7sfXjuv56CVYhIon2Jk99+\nGCPveQ1ScrTzkpOHUB5ZBeW8kUjnBQB54QSyyQzm+eiqCuYWga/ePYvHnq7Pffr6PWdw9eUZnDfe\nWBJLzyCgn7MRL42NmZlzeN/7bscf/dEHceWVL/U0RtM03H33N/Dwwz/G5Ze/BNu2XYzzzluDRCKG\nORsroPTVC6Tdl2p6ejE+37gQabdxJRISZFlaUtb01/VUUWRYloVyufv4siDwSCQk5HLeNg9nvY73\nBbAhy97H1pJMJpZK2jp7cGzbBu79MnCYftknOf8SJFb7SzI7VUxhvzGBsfM3YvsF6abviySJUBSp\nkp3uagpomtbW+BgdHcbs7Hxddc+pL3wNxz/+OV9rDYIyOYGL37Qh0nAK4JzIpGteBZFCA7zOc3OY\nO+9iaLxMdZ65BeArd8/i8WdaJ1jv3JbE/3zfRN3fjY+PYHp6lsqm7Zaizs4uhH5tAJBlCYoiY25u\nseuxhPDgQu718dnPfgYPPnh/nT7G//pf/1/LZM/akPDu3c/irru+jEOHDuHqq6/Bu999BxSlsxrs\n2Fg6MgvgyN4XYrvPbrxgW2jvw0B6Npqd4mtzM3K5IpJJ/w+x4J1bO4/lOGe9rty4bdsQBP9uy648\nG3ueiMTQwOhaSOPduUBNm+D5+dU4zm3GhdtW4SVjHHieX/aeEgKoagIcx2FhoYBSqQSOI5VmVtls\nGjxfa3zoMIz2htjq378ZM9/6AYov7Ov6Vw1CceoQTh6cwPotEfdPsW3oTz8O/pprQy1F9ja3hcz0\nXpwb30alQ+zsguPJaGdkuDz7Qh4/+q85XHdt9bs6CAmiUXHHHe/HHXe83/PrCSGYm5vDsWNHkc/n\nccMNv4Sf/vRH2LXrmVgKkzGdjQHC9Q4Ui2VomgFCSOAEoiDDO42VZRGJhIRiUatrO+0YDHQTUyML\nnyRUiFu3es4JWNQlPDW3CefkCVx7ZQIXpGrH1T84BYGveHLy+aqSqmU5ks7lcm1pn2t8VHUFqu95\ngwEjCNj4yQ9g6k3vdCRHI+TEtx/B8B9eh6QUbTgFxTz0qRchTl4QejO8TvBGCcOzhzAzsiW0DrGz\n88BXvjWLJzwYGbXc+Y1TuHxHCtmM80ilmYBIM/nUuT7tvi70+frX/wWnTp3E2bPT2LnzMtx6623Y\nuHGi18tqyqCEUQba2OB5Dqrq5DrU52YEyblwvRN+tTJaz91ebhwIEiP24tlwep98MwLxLgLjgsuh\nCJ0/g8O5ITy1uBlGdi1ueBWHhNR+jGtY5vOljjkabj+JZsYHz3NYtWqoro23rhtIXbEDo7fchLP/\n/B3vv24I2JqOA/ftx8U3rQMXcTjFPHEYZmYY6rroS4DF4izSudNYTLdsNumJ2QXgrm/O4sld/pRZ\nc3kT//T1U7jjVqe0kn5flPh5NoJ0yw6bK664EhMTmzE2Nl75uzgJedXCqlFWOI3ejFqCaV0E8zC0\nmtuVGy+V9Mrm53VsaOx5AjhCP3xybs1lWJ9pfQPqFodnZtfi2fxmjK8bwg0vAwQPMtrptFoXdnLx\neiKvNT4kScTCQm5JVVFEJlP1fMgf/SPM/+An0KdnPF03LArPH8DJyyawblO3ZbzBsfc8g3LmFZDT\ndHMomqHMH4MuJVGSlyf/dmJukcNd/zaDJ57xl59Vy8OPzeOV12Txkp2ZWBoD0Vw/HtbGVVddvezv\n4mhoAKwaZUWTTiuwbfisNOlMMAu/3rPhyo1znBe58SAaHe1zRaIKn5xObMKGieZVBjNlBT+bmcBe\nbRMuvVDCWy/yZlwJAg+e51Asllsm7fp5wLb0fAxncdGn/xi73vbBrq4XBsf/7WEM/+EroUoRSMfX\nQGDDeOZx8FdfC0GM9qFOAGTO7YMxvh2G4M3YmVvkcOc3ZvDkruBGRi1f+ueT+JuPJqlXi/RD6SvD\nG7bNjI0VSy5XQqebNVhjsmDCXO4GKooCVFVe6szYefOg5dmIKnyyQDIY274RfIOn4cWFUTw2uwWn\ncR5e/1IBr58gnit9VDUBQeB9Vwd1Q53n4xdfjswrr8LCTx6nOueyNWgaDvzwMLbfuDpyeWBSLqL8\n/PPgdu4IRROlq7ktE0Mz+3FudLJtwujMHHDnv83i57vpNLI7O6Pja98+gw/evorK9V1oGzPt1FE7\njA51LYOABRZGWbFYlu0he94OELsMvum7m2QuV+oigzpIFUybcMKex6mHTwzwMLbuRFJx1lAyeTw5\nswFPzm8F1CR+6VobG8YAReE85V66fWwMw0AuV0AqFb2098aPvx/PXf9bsFuEvWiR37UXpy7biLXr\n6cnUt4KcPYnS0VGoG4PlUPiB1woYmj+K2eGJZf92bg648xszePp5+gm09/3nOdx4wyLGKEmQxDWM\nEkZi/SDCEkQHnGqipt9EKX9foGr5avc6H8GeP829MXZuDnj4niAX9sSJ0SswuZrD6WISj85swe78\nRqwe4fHrr7MxnEZlbV4MuVrtEV03KFZJtL+uPLEea97zNpz49Jcozd+aY998GMO3vwKKGG04BQCw\ndxfK2SzkbGc9g7CR8meRkpLIJZ1k1XOzwJ3fjMbIcLFs4NOf34tP/PEEBA9Jzt0SzPPg7fosjBId\n1oC0KGPGRgt6ITnutq63bRvFYrSn4WZrdsIn9FvHH5EvgD6+CV8+dD6OlMYwuc7GO6+3ocpAN25Z\nt1oHWJ6PE/6By1tezurbbsHMd36I0t5DYS+gLXapjAMPHMW2149FHtIAAOOZx8Bd8wsQpehdxIn5\nk5iaG8LX7l3EsxEaGbUcOFzAAw8X8NY3ramUS+u6Hkr4IxrPBrXLMxpgORsDTpTN1OqbveWRTid7\nUOveZM0UwyezZBjHhQkc5SewP3kZCtNpXLbFxG9cbi1VlnT33rv5LeWyXmmB7ULjffR6TU4SsfET\nH8CLN98euXhB7ukpnL50Pdas7UE4Rdeg7d4F/rJLqetvWJyAWWsIe+eyeOxwGs8eU5BNEUztO0t1\n3k7c9fXDeMnOBDZvTCOVUiEIAgzDqCuV9heuiKLFPLM2ooKFUVYw3tvMh1u+2oxGl//SFeA/hOO3\nsqJ+zWGGT2yOgz60HvsxgX32VpxNbUWOH0Ihr0PkbFy73cQ12yxP73ez3BJVlSsN6NpX6/SG9DWX\nYdWvvwHnvnFv5HMf++YjGHr3y6EIPTA4ZqdROnwc6ub1oV7XIjzmMYT981k8djSNnx9W8f+z9+Vx\ncpzlmU/dVV19zOiWRtJIsuWWZR3WZdnCGHM4m2BDyG5CssQQCME4AUKAOLAODjhxwGDAS2ICDhuy\nwUtYnBgI4QhsEsD3Ick3dsuSdR+j0Wimp+8694/qr7u6p4+6umrGU8/vpx/I6q6v+qrvqfd93ucx\n2u4Op4rAzl3L8fBDJwNd2w1UzcRf/90x3PrHaxrfbZ7nwHEsZFkCx7HQdaNBPhRFdfS7na2aDfLc\nGO4Qt1HmPbyPrzqpinSyG28+30/Z3/9FyO/0iSkkUFmwFufkdTjKrsMBbQ1USmgcu1RUIZo1/ObV\nPNYuqcFdFaNZgSEVIU0zHOhbor0Irvz4+5D/94egnZ8KdV2jXMXh/zyFi69ZGI3h0ssvoDo0DHFY\n9nwIk6IxjQwOFzLYezyDxw8noDsoPZ+a4rFyRMaJk8GOt7rBLw6U8e8PTOKaqyy1KCEVpZLV3uE4\nFjzPIZEQkckkoeuGzShO66jNmM1kI4Z7zNU2SjabZQB8FUAW1oX5xlwu91y3x8dkowt6OXn6RTe7\ncdvqvqsqbq8VLQTphSeAYznnz12wHFOpUZwRL8Ahah1OaMuabElH422s1TSkeQXXXmlizTIa6TSL\nfN7bHXfzPZxpytbhDCN3NmSHMxj50z/A0Y98KvS1C/tewMT2X8aiRcXQ1wYA/ZknoF7+anCCM/2G\nSdEoUmmcqCzA3uMpPHxIgqK5v/vTDWD5msWRkg0A+D/3jWHn1hSGMzMD61TVCj8k5INlGfA8B1EU\nkE4nYRhmQ++hKCp03VkF0A9oOiYbYcKYu22UNwFALpd7VTabvRrAXwL41W4PjslGFwzCs4KmKSQS\nvezGm2t7ByEN3g5iFqaAh7q3T0yWg7JgFOdT63CcXYcD5gUomvW7VnIT1va+GbqBxbKC1+7WsThj\n6TG8amJM07obNE2z53vY/pxBwO35L3rrtZj4px+h+OiTgzmhHjjyfx9A5n1XgKPCn06hNBXKM0+B\n2bG9o37DBIUSncbxUgb7T6XxyKEkKmowpeUz5yns2LEE+/adDeR4XlAqG/i7b57BH9+4qu9jNU2H\npukol63PiWWZejggj2RSBqns8TwHXTcGEizmvbIxZzfNSGGYc7ONksvlvpvNZr9f/+sogJ5l25hs\ndIE/gWjz+eRH68RuPIi1vW6s5Dzp+++DYWufGPIwSsNrcDaxDofpC/GyNgKDqn9tHMgj0oKKa3co\nGEq6F322g2UZSJIAwzBQKAzGlMkpvN75jX76Jvziv/wOzI4VrcFBL5Rw6Kdj2PC6TKjrElDT51E9\ndBSJ9WtggkKFTuJEeQhPnUnjoUNJFKuDm1op6jLSaQ7T0+G+53Y8um8ajz81jcsuTbt6HiEflYr1\nm2QYGsPDGbAsg+HhNCiKasnn6Zf34wRxGyVczGWBaC6X07LZ7D8A+DUAv97rsfOSbDgViPpR0Tcr\nI27sxpsYpF6k83oU1OefgFoqY3LtVTgpXICD5jqMG3UnRBMtLZF+YCgDV6xXsHmN4fxJPUDGgms1\nJfCMg/bqiF+i2QvihaNYeuPbcOav/mEgx++F/GPPYmzTNVi6JPxxUC2zFJPMcuSmtuPH+1lMVcK7\n9JRrwKZLl+Ph+4+FtmYn/K9vnMamrIyE5J1YketHoVCCrhuNbB6i+6BpGorSHLVtis7dIeYa4WGu\najYIcrnc72Sz2Y8CeCybzW7M5XId+5bzkmw4g1/NhgmWZSFJPGo1Z3bjjWcOUC/SCTzP4kxewHcP\n7kRt6DLrP3q+QTKxYkjDG7er4AL4dtE0BVmWYBiWCJTjWE9koxt5MAwDhmGCYWiYplm/yFr/S+7u\ngiYfyz/wO5j83n+gduREYMd0iuP3Poyh398NgRmsj4shpVBYdBFOJC/G89QlmDAtgSSvGNDoMQwy\n26MTTowzuOiiDA4cyIe6rh3npzR849tjeM9vr/B1HLsmyzAMVKs1VKuW9ommqXrbhYMkNcMB7eO2\nTo8dIxzM1TZKNpt9O4CVuVzu0wDKsGrdXe+mY7LRBX42GIqyNjdR5D2NY/ozFHN+3hRl2aIfOEXj\n+48bvr/0HK3jV7YpGFkYzNXKumC2Cmm9vjftZWGrmmHCNI3G8Sy7ZaDpVmo2iJ+dfPgFLQpY/ak/\nxktv+6NAjucGeqGEww+cw4ar3ZXz+8FkeVQWr8Pp1AYc4DbhiGHTJ9jeNkWjsXXzEB56dDLQ9fue\nH4DE8AKwzDQ0Pbrd9Cc/n8Srdw9hw4Xe7fN7tTkMo0s4IM8ilZI7eH20Go3FY6/hY/YN6zvGtwH8\nfTabvR8AB+CPcrlc17JpTDa6wOumxrIMEgkRpgmUy1WPvg+Dr2ywLANZFrH3gI5/f9rfeqZpYstq\nBa/aoAciqiUkiKZpFAqVwK2ZDcOEYRigqN4X1fasB0I+aJoGw/jTGKRfvQsL3nINzn/3//k6jhfk\nH3kGZzddgyWLfLRTKBrGklFMDG/AQX4jnlPXQkN92qLPxzVVE7F6hMOxk+FqKCamgZ27l+PRh0+F\nuq4dpgl85euncMefrQPHeiP3bghBp2RiMm5rNxqzdB8adF2P9RohY662Uertkrc6fXxMNrrAS2WD\n6ApKpSpEkfex9mCt0iVJAMcx+PnTKh454P0rYJomhhM63vZaFpRhOgpI63Su9msbIWvWOGAnEah3\nYkSqGYZh9iUanUBRFASBRzKZQKViBeQRXY+XysfKP/tD5H/6KPR8wfW5+MWxex9F5r27XLVT9NQi\nTC7M4pi0Ac9TG1E0k9Y/uOQMJiiMrB7C8ZPjITdTgLMFAUuXihgbiyAzpo4Tp2v49g/P4TffvCT0\ntU3TbFQ1COxeHxzHgaKAVEpuVD6cTHzF8I652kZxi3lLNvptym7IRjNhVMf0dKmx8QwkgbX/s7uu\nazfB+re9Kp4+MnPu3ykoGHjtJTVsWGkiKbEoexoOaXVKJW6qpVK1q6reDxHjeQaKonoiGgAgyxJ4\nnsP0dBGapnetfJDz7Ec+uMULMPKxG3Hsf9zh6Xz8QM8XcOTh88i+Otn1MaaQQGHxRTiZ3IAX6Esw\nZto2R5/7T77KYesmGU89F64HhqoBa9Yvw9jYkVDXbcd3fnQOe3amsWqF6Op5g9BU2L0+OI6t+3sY\nkCTLaMwwjIbJmKKoPSqNc/MOPWrM5WkUN5i3ZCModLYbD8IFNNjRV2KCVSrV8JOnaOROeSMapmli\ndJGKX96mgQmIkBMRaCc31SBgGCaKxQoEgYcsJ2AYeuMC6ySfgmFopFIydN3A1FSh6+O9kI9Fv/2r\nmPjnH6G0r6vx3sAw9eBTGN/4S1i80GKKJsOiumgtzqY34AC3EQeNNQBV/5AHcHNLJ1KQpDIqlXDv\nnE9NUNi5cyn27h0LdV07NM3EV75+Crd9dK3LmxLvHjqOjl5PlLVMxtqNxnik0zIMw2wZtx1kRIBh\nGPj852/HwYMvgeM4fOxjt2Dlyv5+JXMJ86VwFJONLuhXmehlN+7k+X7WdvNcexLq5FQZP3maw+Gz\n3j52kdVx7XYFS4Y6/Tq8GXTxPAtR5FGtKqjVgu3h29smtVoNtZql2CdGSaIoIJmUoeuEfKjQNK2F\nsFkERUK5XJkR8NYPTsgHRVEY/fSf4BdvfBcQgEeCG7BLFuHsMRXa5b+EI9x6/MLMQoFQP1kM/Ea1\nqtLYtX0h7n8o/MC0CpKQE+dQKof7ntuRO1TBj382iV9+7QLHz4nCqrzdaIxhmMa4rSxLuP7667Fk\nyVJs3rwFW7bswJo1awMbT3/ggZ9BURTcffff47nnnsVdd92J22//QiDHni2I2yjzHL0qE/3txgkG\nH+TWC/Yk1Omigh89KeDUpAdho2li2xoFl2e7tTa82YFTlLWZu5nYcRqQZxjWpEknq/KmUZL1d5Zl\nwXEsJEkEx7HQNIt8sCwNmmaQzxcCuXvrRj7kSy7E0t/7LYx95Ru+15ixJs+BH10JYf0FMFeugr56\nLfRV61BbeSEUOQUFQAUanvKh3fGDiQqHlct5nDg92FHcdkyXDFy6cwUeuv94qOu24x+/M4ZdC5gz\nxAAAIABJREFUl6awcNhZpXHwZKN/m0bXdVQqzd/Pn/7pLXjmmafxxBN78Y//+A2USkVs27YDH/vY\nnyGZ7N6mc4JnnnkKu3dfAQDYtGkzXnzxBV/Hm42YL3rcmGx0QafqArEbB9DXKtvrBtyE98oGTdNI\nJESwrGUkVqwY+MF+AePTLomGaWJhUsebdiqQBE+n0xFE4wIApZLb0eD+v0zineFUm6FpGjRNa1w8\nSTUDsC7uyaTcMEjyapLUCXbyseqm9yD/w5+ieszbpAQzlAa3bhTM2rXA6FoYo+ugrlwHZdlqVBgW\nveZOVDBYPqzh9GT4lwPTpLB6bQYnTo+HvvbxcyzWrU3h5cPhC3QJyhUDX/3GaXzs/asdPX7w8fLu\nyczixUvxutddgze84Y2gaQZnz47hwIEXIQj+LxqlUgmy3CQsNE1D0zSw7Ctn65rD2Siu8Mr5xFzC\nbfWAeD44LfeTTd/buXknKjRNQRA4q5oxXUahQuH7+0RMld2dC0MZeP3mGi5Y7iR7xHnbRxB4iKKl\ncfEzsdMJnbwz3EIUBSQSIkqlSmNckOPYepVIAssy9VFBLTDywTAMhlYsQfbzN+Pp33h/9wfSNLiV\ny8CtXQN6zVoYo2uhr74Ayqp1UDOL3A6F2EBh1VIKpyfDNZMjmKpw2LIxgWd+Ea4FvWkCQ8sWgT5a\ncD1JFST2Pl3AI/vyuGJHfyv5uZD4umTJUixZsjSQ85FlGWWb+tw0zVcU0QAAw4jJRgxYPz7L84Fy\n7fngb3zV/ZNFkQfP8/UWQQ2TJQr/uldAqeacaFAwsW6Jijds0RCkK7hdO0I0Ll7IRjeS6NQ7o9f5\nJZMJMAyNqalCy+fcJBVWz9oiH1yDfDSJh/tsClJFKZUqEK/cieFrX4v8Tx8Fv24U7No1QJ1UqCvX\nQVmxFjVehLec3N5QDAYbVmp48UQ0lwQumYbAV1BTwq0pj08BOy9bhscfPRPquu34u2+ewZaLk5AT\nvauPc4FsBInNm7fioYcewOtffw2ee+5ZrFt3YdSnFDjiaZQYME0T6XSibjfurqfsz3Lc3Y+diFUN\nw0SlUgXHsTibp/GD/QKqqvNzSIkGrtuhYEgO1vHUrh2xiyyDsgF32zZpB8syDV+BQqH/KKa9okFR\nRPNhmSTRtL3y0Zt8EFMluyZk9K7b8NRYGmWELxpLJmkIrImaFv7Fr6LS2H5pBo883jM4ciCYKEtY\ntFDAuYlB0DhnmMpr+Po/n8Hvv2Ok5+NmYxuFPI+igv/OXnXVa/HEE4/hxht/F6Zp4uabPxH4GlEj\nnkaZx6AoQJKsKPhSqQJVda9Y92/M5bQt0SpW5TgWx8aB7+0VoOrOjsHSBnasVfGaSwWUy4C31OrO\na1kGYqwn2/bOaJI4q21i+Go7SZIASRJRLJb7iH27nI3ZJB/lctOhkePYNvJhaT40Ta+P0iahaRqm\npqZbjieIDJZnVJzMByiScQjNoHHJGhX7D3r3X/GDgiZh2aIizpwLThfjBIoKrN+4DOceOBrquu34\nzwencNXuIVySlbs+xrouDH70dbaApmncdNPNUZ/GQDFf2ijzY+bGBViWQTotwzRN6Lrh2T3P//hq\n78dYZX/LZKpQaG6UB09TuO9hyhHRoGBieVrF77ymiu0X+BkBnPke0TSNdDoBmqYwPV0KfBaftE38\n5Dik00nwPI+pqWlPRKMTiENjqVTB1FQBk5N5VKs10DSNZFLGwoVDGBpK1wWpne+kR9IKOCaaC75J\ns1iYimYc1DApXHDRUCRrnzhHY9Mm5yOog4BpAnffcwqK2uuzn19tlPkAA9Ss/RMk5i3Z6PR7kiQB\nsiyiVKqiUqkFnvYZFCyXvwQ0TW+ZinnxJIMf7WehO2DKMq/jVy6t4i2Xq+DrN7JeX297FUcQOKRS\nEqpVpWfarZf1dN0ETVNIJkVIEgfGg7MYx7GNDT+fLwzUjtlOPjRNg65bhkmmaVlCL1iQQSolQxSF\nxmthaGD1UDQlfRMULhiJbrOZrPC4JOs9pMwXpAwEIdpL4qkxBf/8/e6TOeFoNgZ2+BgdYHnuzM4/\nQSJuo6Cz3bhfDMrUK5EQwLIsikUrm4PgqSMsHjnQX3DJMSbWL1Nx1UYtEC+PJqg2MW3v0WAvIN4Z\nk5N5cBxX98awRlTto6m9ysCJhAhBEFAslgIdY+2FXm0TKxLc0nxIkgCKoqCqGgRBw1hBR1HxF/jm\nBYrB4oJlGg6diebyIA2lwLNlKOF2U5AvApfvWY2f//RIuAu34Xs/nsCrdmUwunKmlfngNRv9bfa7\nP3f23ZjNBTi5OXwlYN5WNghEkUcyKaFSqaFcrrb8kP3mmwT522MYGum0DIC0JfTGOo++xDkiGkvT\nGn7j8gpec0lnouG9smGCYSik05YVuFOi4eY9Im2TpiOogmKxjMnJPPL5AlRVA8dxGBpKYXg4jWQy\nAUHgGxkzNE0hk0mCZVlMTU2HRjQEgUcmk0KlUkWxOHO003otav21TDdaOhzHYNPq8IkGwYIhGiwd\nzS1uWWGw/dJ0JGsfOUthdDQVydoEmm7iy18/1fE3NN+mUeYDoq5exJWNAcO627QmOLrlcfgjDMG1\nYLrlrxgm8MALHH5xoregLyUa2L5WwcZVg9EBsCwDlmVQLFZcj372gxPvDMMwWmK0GYYGxzXtlE3T\nIhu1mlJvYYRzMe00bdIPhEjVagooAAsTEibK4f9MVYPGpjUanno5mktEyZSxdHEFY+PhxtAbBrB0\nZBGOHStE2k44eLiCH/3neVz7hoUt/z0mG688xKOv8wC1mtpTGOi3suHHIMk0AYahkEh0DijTDeA/\nnuVxaKz7R8jQJrLLVezJauAcfNJuyRUJUAOs99I90WhOlnSC3XLcDXTdgK7XUK3WGkmt1aoChqEx\nPJxxHcTmFr3aJm6xeqiK82U5kgsSzTFIJwxMuzSECwK6QeHiixdgbDz8sLSxSWDnzqV44onogtoA\n4JvfPYvLtqWweGGzamlNi8xGsjE/NsxBYIA5drMK87aNomlG3wmEQU+U9DkCkknL+6FYbL0bVzXg\nh08KPYnGimENb9lVxWsucUY0yJpOLxo8zyKVSvQlbD1X60FuLO8M90SDgKZpDA2lQNOWSVepVMH0\ndAnnz0+hWCzDMAyIooDh4QwymRQSCQmc8zeqK/q1TdxC5KyJoShgmBQ2rI7uSni2wGDDhe4i2INC\nXk1gKBPNCDBBtWZZmdvhR1PhBHFlI3xE3SqJ2yjzFBRliRgpiurYlqgqwA+eFHA237mfLwsGrt5C\nY9WQ4prsOKlskPNjGLrhqMrzXGD6lCAsx3neMtgql6uoVmdOdTSD2EgKLLEjF8GyJIjNfRaKl7aJ\nE4xkahgvslCN8O8NFIPFqsUajo9Hc6lILcqAOVKFHrJYtFIDNm5djofvPxbuwm3Y/2wRDz6Wx5W7\nLSvzMHw2YrIRLmKBaAxflQ0vIB4fhmF5fLT/6ItVCt99QuxKNDatUvGbe6rYspYOeNLEAsNYTptE\n59I69eFlwdZKStM7w/tGnUwmIMsS8vliR6LRCZbnRRX5fBETE1Mol63YskRCwsKFQ0ink5AkESzb\n+X1nGBpDQ5agcWpqOnBPEZYGVg2Fm4pqx4pFFKgBbnC9UKox2LElGrHo8XEGGy6OxvfDjq996zQK\nRcK24tHXVxqirl7ElY1ZAH8C0SZZcXJxkCQBPM+iVKpC03SkUq1eA1MlCt/fJ6BQnckPZcHAazcp\nWLXQ3ybXi1w1RarVDo6q3r6V5P0l1Qw/luPtOgk/PxR7Fkp3O3Kr8sEwTCPbhAhUB4ElSRWnCxwq\navgTKjWdwSVrNDx3JJrLRZWSMZwpYTIfvtkYnxoGx+WhqtHtwNMFHf9w7xje/7sjAycDXts08dir\nd8xVu/JsNssB+BqANQAEALflcrnvdXt8XNnoAb+VDSdkxRppbTptkraJfe1z01ZFoxPRuGi5ht/c\nU/VNNLqBpimkUlbg2PR0uaN1ux9SZl3XjHrbxNuvrl0nEeTF2DRRtyKf6QiaTieRTFrmahRFgWEG\nRwQoClgzHF12hygykKORT0AzKGzcGE2FYbIA7LxseSRr2/GzR6bwzC+KA9dsxAgfhkHN2j99cD2A\niVwu92oAvwzgrl4PnteVjf6bpN82itmzx9rMNalBaXMwIud2apLGj54UoLSFY4mciasuVnDBsk6b\nv/OKSvvzaFvUKwlQq1YV1GrBixQ1Ta9PizBQFBJcpjkmCxQFJJMyGIYOXCfRDZaNvY5EQmo4g3Yy\n5SJBbEGe05IMjYkqcNbfgIsnaAaFS0Z1PJ6LxvtjsirgwrUCDh4On3CdyQtYsTyBU6f9C3794O7/\ncxpX7Fo2MLIR6zWiwVytbAD4JwD/XP//FICeyqp5TTb6we/vrtvz7XHr3Q2wTBweo/HDDvbjo4t0\nXH1JDYkuWV2EqPg5f0ssyTgKUHNbASJtk2pVR61WA8sy9c1aBMc5E2i6TWoNCvZIeNI2URS1TjyI\nIyhxN7XIh6I4czftBTLCuypTxvi0GMkorGoyWL4QOD0R+tIAgIVLM3j56FmEnROm6cDKC5bg1Okj\n4S7chrFxBV//p5P4vd9ehVrNCl4M0teGpv2QjbiN4hVzld/lcrkiAGSz2RQs0vHxXo+PyUYP+G+j\nzHx+t7j1dvziGPCj/SxMs/l8jjHxqqyCDSO6g7aFe9W6aVoXnHRabli3Bw27dwZ5Dc3pEOvvJDU1\nkbDaN/ZKgabpvpNavcLJtIndlAuwRnDJ67EMxsyW19PPM8FqYyVhmgampgrgaRNLUyrOFPo7xgYN\nE8DoUgOnJ6LpvhZqLHZsTeGJJwuhr316gsK2bYvx5JPdc0vCwLf+5QSu2JHChvXpejQA3SC7fsnH\noD08YnTGXPbZyGazqwB8B8Df5HK5f+z12Jhs9IBVIfCr2Wg+32m14NljLB58sfWCvnxIx+s2KUgn\n+l8MvHp8cBwDjrNEqm5GPp2+T5Z3Rn8RaLtAk1QKSMvENE1UKrVQ2iaAP5Ou/u6mZqOF1G4wxnEs\nUikZlUoNlUoz0G5lpobxEhfJyFxVo7FhpYYXT0Rz6VCYJDKpMvKF8MWiFSSRSk7aJkPCh2EA//Or\nh/Hpm9eBoSnQNA2eZ8HznG/yEbdRosFcfcuz2exSAD8B8P5cLvcf/R4fk40eCMKYC7BK/omECFXV\nelYLTBPYe4jD3pebZkI0ZWL3ehVbRjXQA9pbSFuHpinX3hIWev9a/HhnmKbVpjAMEzxv6Vs0zcpB\nSadlm0ZChaJ4b1N0Q6e2iR/Y3U0Ba5yY41gIAo9kMgHDMKGqKijKascUCjMD4zgGWJWp4chkNIrN\nVJIGx5hQ9QhaOTqFzZuH8ODD4fdySlVg87blePiB46GvbcfLR6v4/v+bwK/+l0UwDAPVqtKoktI0\nBZ7nOpAPDYqi9CQfMdmIBmG3BQPEzQCGAdySzWZvqf+3X8nlcpVOD57XZGPQAlHTNMHzHFiW7jIy\n2nouD77I4bnjTaKxJGPi6o1VLEy5F3o6PW+Os4hQraZC13XwfLDleeKd4XXSBAAkSYQkCS0bb2eN\nRHsCbP82RS802ybFloTdIKHrOnRdb5APlmXrI7ZUnQRKHcWzpJVS1cJvaagGjc1rNew/GM3l43yF\nx7pRAS8fDV8seuIciwsvTOPgwQhUujbc+72zuHx7GksXt/5eDcPsSj4kKQWGoevEg1Q+mkTW61ht\n2H5ErzTMVbKRy+U+COCDTh8/r8lGP/gh+aRX3ynXpB26AfznczwO1iO9KcrEZetNXJ41oNQGd6ch\nSQI4rhlXz7KMp0pOpzZKEN4ZNE0hmZQBWGZZnYhDu0bCalOwjTaFVSno3KboBnvbJJ/359nhBkT0\nWqspDWOxXuLZ0eEqcuOJPkcdDEyawYKkgfPFKPQbFJaOZHD42NnQS9AmgNSihWAOT2NA/NMRaoqJ\nu+85hT/78Jqej+tEPkgbL5NJNsiHqqqwqo9xZSNszBeZTEw2BgAy0qppekcnUDtUHfjJ0wKOnbNG\nCjMJA6/fpGD1UqZlDNUN+t1p0DSNZFKErhsoFEoBXLBbD2CRAsNXG6qbXqEfrDZF8+JK2hSiKCCZ\nlBshbOSurv21B902cQpRFJBIzBS99hLPrk8zOFfRMFEM/67SBIX1Kw089mLoSwMA8hUWO7aksPfp\n8MWi5/LArsuW49FHTvd/8ADxzAsl/OzhKVy9x7kHSTs5p6hm5UMUedA0DZpONyof7luqMdxidhO8\n4K4tMdnoAzeeFUT7QFEUCoUyeL53kFNNtQLVzkxZRGPTKhWXX6SCYwDT9FZlsM65e3uot7eHt3Ko\nfb0g2iaJhARB4OsmZ/4udjPbFN0rBYLAD7xt0g67V8jUVKGv5sQungWANcMczheFSEZhawaDdct0\nvHwmGu8NnZeRTBRRLId/sT5bFLF4sYjxcedEeBD4h386g22bk8ikvF3KTbNJPnRdB8MwUBQVPM8h\nnbYqH4ScdyMf1jUjbqN4RZQVsjARk40+cOpZYdc+kLvqdpMsO8o14Pv7REwUaciCgddtUrCyxQXU\nhPcf8MznUhRVF4xRPbw9/IByPG3SDTRNI5WS62Oe0wNh/J0qBeTCav27Bp7noKoI1MOgEyz32CQU\nRUOh4O0OnadVLE7SOFsMfxQWABYNUzgyZsIwIyA7Go1Ltw7jwUfOh762qgEXbFiG8fEjoa9tR6Go\n4+//7xn80XtW+j4WuanqVvnoRD4UxRIzD0qzUSwW8ed/fgvK5RJUVcUHPvAhbNq0ZSBrRYVZXdgI\nEPOabDj7kMnG3f3BiYQAlm1qH+zH7/QbnC5T+Nd9AqYrNC5aruHKDQqEtiKIXwtw+3NZloEsi1AU\nDaVSd1Gd1zWt1oWO4eF0S26Im826X1LroEDTFASBr7cvFLAsB55nbTkoar2nrQVa7QiyXbN6SMFE\niYMewYav6JZY9OmXo7mUTFYFjK4UcPRE+GLRk+cobN6yEM8+E5HLWR0PPp7HVZdnsH1zytdxOlVw\ne5GPkyeP453v/B1s3rwZmzdvw6WX7sDGjZeA43pXdN3gW9/6Bnbu3IW3vvVtOHbsCD75yT/F1772\njcCOPxsQazZiAOi9ATMMDVmWehhgzawwTBQofH+/AMOg8Etba7hgaecNzL/C23quJPHgea4R8NYb\n7qsppG2Szxfq45pswxPDPkrby7pblhPgeRbT08WBVxM6rWtvm1hEydJMNF9PuxW5vzHboKPoOcbE\nSEbBsakulrIDBsMxSEkGCpXwxaImKKxaM4RjJ8ciuUM0+DQkcQqVarS18K9+4zTuvFWGKHj/DCxT\nr/5uwYR8LFmyHPfeex+ef/457Nu3H1/84udw/PgxvPGN1+FDH/oTz+dhx1vf+rZGO1rTdPB8NN/x\nQcLQZzPbiDUboaHbpt9MQa11FVG1E5UzUzR+uF/AsmEdV29UutqNB3HOlvNkohEH76Ql4aay0ck7\nwzKoUusCx0rjLohYdwNUy1gqRVFIpWTouuE7qdUNrBC1/uvaX08QY7b2dYOeclmeVjBW5FCLYBTW\nMClcvFrH47lonEXPlxhcuimJJ58thr72dAnYftkKPHR/tN4b4xMqvvndMbzrN72HxnkZfU0mU9i9\n+wrs2XM1AKBQKGB6Ou9p/e9//7v41rdaTShvvvkTuPjiSzAxcQ5/8Re34A//8COejj2bEVc2YgCY\nSTZommo4P/bbxO3PPXaOxk+fE3BFVsGGFf3txv1UNsj4Z6VScxmg5qyyYbcc73k0c6Z1N3E7lOUE\nKMoSPFr/7t5e3Qua7ZpKT7v4TuhkRd58Pb3dQAfdJqIpYHSohgPnpMCP7QSKyWDlIh0nzkUjFqWk\nJCSxhEo1/Cv3iXMs1q5J4fCR8Cdj7PjRf5zHlZdlsH6tt3HoIBJlU6kUUilv7ZzrrnsLrrvuLTP+\n+6FDB/GJT9yM973vg9i2bYev85uNiDUbMQC03u3zvHWH7jQFlfhPHDzD4IWTLH7tsqoju/H2dZ2C\nopqW6IqiuU5qdbKmHxEose5mWRaGYaBcLoNhmJaxVPtmHTQ6tU38oN29sTlmy7eM2dI0DZZlBt4m\nWihrSBU0FGpR/KwpjCwGTpzzI2z2jqpKY8e2aMSihgksW7UUR48WIr1LNUzgK18/hc9+/AIwjPvP\nYDY6iB4+/DJuueWjuPXWT2P9+ouiPp2BQJ/VbZTgEJONvrAunpadN41CoeKiV2/iuaNAqUbhuu01\nl+TB3UWb6EdUVUOlooBlgy1pB+GdwTAM0mkZqmrPGNFQqbSOpVqEiYWmaTb3TO+btNO2iV+0j9la\n2pVEQ60vy4m+abZ+sWa4hmfPMIhiw6/pDLasNfHM4dCXBgBM1USMLONx8kx4/igEp87p2HXZMjz2\n2JnQ17bj6Ikavvtv5/Dfrl3s+rmzkWzcffddUBQFX/zi5wAAyWQSt9/+hYjPKljMsrd8YJjXZMPJ\nh0xRFCRJqPfty66OffQsheULgdEF7jcWN5WNpn7EskTneRZBbjZBeGd0M62yo7OBFWebDNEas/5O\nKxN+2iZ+0MmUrF+abRDIJCiMDFM4ORnI4VxDECmInImqGj7ZMUxgzboMTp6JJpl1oiphwQIe58+H\nT3bsuO8H49izM43lS92JwryTjcF91q80YtEJxjxhG9EouuYIJMkaaVVVtXH37RSKBqxYYGBxxtsP\n0Ylmg6IoJJNSvURfbmSv+BmbtYOQDD9Eg4hABYHH1FTBVSS8qmoolyuYmipgcjKParXWqI4sWJBp\nHLebl4ksJyDLEvL5YqhEQ5JEJJMyCoVSi/up9XqqyOcLOH9+CpVKtW7JnsCCBUNIp5OQJAEM4033\nIAg8MpkkVg1VQfsghn6g6sClF0Zn8DRZ4bBloxzJ2jUF2LDJu0AzKCiqia/cc8o1cZiNlY35AEM3\nZ+2fIDGvKxvdYLUkLDvvarXmyTZc4KyMk0GZ3Vh3yAKqVbWDT4P3vjkhOdZIpr+2Ccn6UBQVhUL3\ntFun59VtMoSIM4nZkK4bSKUSoU+5EGJFUUA+3znLpfl60NJOsY8Np1LOx4YJ7OO0lGFgRZrCiXw0\nY4I13cSSjIGz+WjEolwqBYEvo6aEv3EeH6dxySXDeP75iEpLdTyfK+M/HpzCG1497Pg5MdmIBnM1\niM0tYrLRhnY7b57nfJlrDQJNE7FKx03Ib2XDNINMai03fCuCROcANsuGnGWZelXGiqJXVXXghKMZ\noqY2QtTcoH1suHXM1oqS7zRmS1xXLa+TJrFakVZwtshB0aPxvli7AjjrbQLSNyoKjR3bMnj4salI\n1mfkYfBCHkot2l3knn8+gx1bkhjOODPZ8ko24sRXf5gvBG/ekw2yMTdzTdBm5x2Nup7AbpXe30Ss\n9XluQRJSMxnZ1V1167rNu/tuSa2DgK4bEEUaNE1haqoAigI4jmtMuui6PjBxphM9ilt0GrO1p9ma\npglN0+sjztUZbT6GBlYP1XBwIppR2JrOYP2IhpdORnOJmVYlLFtcxJnx8IPEJgsmrtizGj//6ZHQ\n17ajVDbwtW+ewUduXOXo8U5iGWIEj3gaZR6BtCTsuSYE/qsE3n/EFuO1/CdIxaWXidjM5zkH8c4o\nFEqNkj7Pcx3NuLoRCOIcWqvVUC6HF1DVbdqkW1oqwzCebdXtcBui5gdkbJiQj0RCgijy0HUDkiRC\nEISWz8g0gUWyhtMFHSUlmnbGUIoGx5hQ9SjEohQuWD+MM+PRiEWPnqWwalUSx4+HbzRmxyP7pvHE\nUwXsujTVVwcWt1GiwXx5y+c92ZBlq+zevSXhV3fRP1ul6zNNS5sgSc0kWSeVArcEqd07o7WkP9O8\nyqqAtG5siYS14RWLpVBjqZ2aZdnTUr3aqtvBMDRSqSQ0TcPUVHhmTlblKAGKolsqR2RsuL2Sc+Fi\nDU+fjIZsqAaNTWs0PHkootyUCodNGxJ47kXnU2RBQTeA5aOLceJEMfLN5H/942ls3ZiEKFotNYsT\nmwFc22IEgSAiC+YC5j3Z0DS951243x+kn8oGYCKZlDpWXPo9z6kTaLvleOfHzTSv4nkWoijUU1oB\n0zRQLJZDJRqyLIHnOdcmXW5t1dsJXpAham5AJnEskWxrG63z2DCL5QsFnC1ROD0VzY5HsQyGZANT\npWgG36ShNHiujIC6W65wegLYsWMp9u4dC39xGyYmVdxz3xje+/YRAABNW78BUsUwDL/uoTFh8QNz\nfnCNmGzUamrPjTYIsaVFVtz9kCVJAE3TKJerUBR3G7gzJ1DvIlBd11Gp6NB1AyzLoFZTYJomEgkR\nDCM3WhSKEmxSKkHQJl29bdVbKzk8zwUaouYUhOA41YXYKznLkxTG8nIkMfCGSSG7ysBjL4a+NACg\nVKOx49IMHnkiGrVqQU8gk+aQn46A7djwbz+dwGsuH8KG9dZYsD0WnmGoxtQYTVNx5SNkzHWfjWw2\nuxvAZ3K53NW9HjfvyUZ/+BWIuvvB0rQ1dmsYBjRN9yiw7H7OpJrh1XKcgFQVWi24W1sU9hFOYsbl\nV9cQRhR9p0qOIHANN1Bd11s0EoNGs4LjjeAIjInlKQUnpyMahTUYrFmq48hYNO2copHA4oUljE+E\nLxYtV4FNl67AQ/cfDX1tO0wT+NL/PoEv3LoenM1d2CLuSaiqilKpApqmO1Y+YvIxOMzlNko2m/0T\nAG8H0NfbYN6bevUjlUEIRJ2C5zmkUlbbpFTyLrDsds5Ny3HvY600TWNoKAWatkSR7eJK0qIolSqY\nmprG1NQ0FEUFx7EYGkpheDiNZDJRHyl298bKsgRZljA9XRwY0egEhqEhigLK5SomJqZQLJYblZyF\nC4eQySQbI7dBgqYpZDLkvZ72dVEaySjg6OguaksWUJEZjekGhY0bF0ayNgAcG6eRzQ5Ftj7B8VM1\nPLpvuvF3lmWQyaRQrdZQKrWOa1MUVSceNFiWBsNYf2i6+ZttEpKYgPiB1YaenX8c4BBPYhbQAAAg\nAElEQVSA/+rkgXFlow/8azacOIFaAksre6UpAvWzdvvzgrAcJ6V8N9bf3fww7GFl/cLX7F4SU1OF\nUBXziYQEQWit4AzCVr0dTbvzmWOtXsDQwKohBS+fF30fywsUncamUQ3PHInmkjNeZHDJRQk8fyB8\nsSgASMPDYNk8NC0awpVOMrjh+hFcudsiPaRC6NQHx952oelmhRSYPz4Rg4I5hzPmc7ncfdlsdo2T\nx8ZkY8DoVxlhWQayLEJRtBnZK36qKs0SaDBtk6ZDpb/EVF03oOu1RmXCHr7GMGxd79HMCwmjbdIJ\nNE01xK/9CA7RR5TLdidQa2yYoty3kSRJgCSJKBSCnexZklRxpsChrEbk7CkwkAUDpVo0BVV5QQos\nW4YWfjcFE3lg1+4VeOShk6GvvWdnBje8fQRDaetyL0kCRFH09VumaQqmSQGgQVHzvkDuC3O5jeIG\nMdlwCD8TJd3KjCRArVSqdvF68GM7TsqcBizdiKfDgGEsZ0xrxHO6/xNcolOVgBAMkhFSqVQH4kLa\nDWQktlqttWSbOIEbW3VV1VpIDPHtIG2ToA3RKApYs6CGX4wlAj2uU+gmhY1rdDyRi2ZzKtYY7Nia\nwWP7ohGLjk3zWLpUwtiYe4dZL8ikWXzg3WtxzWuWAbAcaK3WCNXXTr8frK8tjbgT7x9zubLhBjHZ\ncAC7uZb7586sTtA01dh4pqfLXe+a/VQ2DMNAMinVNzV3LqAEosgjkQh3xNNqPRhgWbaxaXMci3Q6\nCafmYn7QtFkPpqrQrY0kCDySyURj0kXXdUiSGEiOTC9kRB3DkorJijML66ChmgxWDOs4NRlNdaVC\nJbAgU8T5fPBTUv2gasC67DKMjR0e+Fp7dmbw3rePIJNmMTmZb/jCWO0QIJNJtXjLOP8tmY2KRkw0\ngsE84Rox2XBSrbA2fW/ueu26C563vByqVQW1Wu+7dS+aDdI2yecLnlxAAZImmwjFGbMdndomTkZS\n/eafNG3WqYHarHdqI1ll7UT97ywSCXEgtuoEo8M1TFVYmJEI+yisWgacmoxGWKjpFDZvWYifP3A2\n9LUB4MQ4sH37YuzfPxhn00yKwQ1vH8GrdjUFqVZLsDlxAjRJr93+nvyOFEXrcq0zYZo0rM8tJhpB\nwZjjbZRcLncEwOX9HjfvyYYT+Ek+BZrViURCBMvSXd1K/YJYjpMKjBMXUFLOJwgyqdUtOo/TNtHL\nXMzumqkoGjQXjXm/IWp+IAg8WJbF1FQBuq4PxFa9HRJnYkVGw8l8NNWNms5g81rg2cHf4HfEeJHF\n+rUiXjocnqW+HVUqCTlxHqVysNWVPbsyeO/1VjWDwDKCS6JSadU8tZPeJvngIcuk4qbh8ccfx4oV\nKzA0tADNakY8fRIkwsqPihox2XAAP1MhpmmCpi3nR03TMD3tXA1vPdfZHUS75Xinf7dv1ESYKUki\n0mlLmGmaZj1NNrhAMSfwOm1CzMXItAbZqGW5daPuZS42iBA1JyB3m+2vOWhb9U4QBB6XrOYx9rwB\nzYhm4xBFEyJHoRqR19XCZRkcOlqNJN67UAYu3TmCh+4/FsjxOlUzgGaV0Ml3eyb5YMCyDL7znfvw\n0EMPYeHChdi2bSe2b9+Jbdt2IJOJfpT3lYL5Ms1D9Xqh4+OFV/y7QFEA06d9nExKqFYVT3eWsiyC\n41iUSlXXZXHLrZJGudx9CqPpneH9o6IoCul0EjRN1wlOMJuaEwxq2sS+UXMcN8NczDSNRoja9HQp\n1FaRVwGq3Vad41h40bDIsgSO41AoFHFiksGRyWhGYQGAMTXseym6+x2ZKuKJ/cGLnp2AogCueg6H\nXvaXq/OqXZY2I51qfR9FkUw0da4SOoVpWqmkL730Evbv34v9+/fi8OGXcc899yKRiEZoHAYWL06F\nxsJ/99azs3af/donlgT2PsSVDQfwUtloRtZTPvrvvfvaQXhndEpqtTY1tlH5ANDScgmKifdrm/hB\ne/5J+1SI5QRqoFyuhHpn4Wes1Y2tevvnZK+k5POWxfuylIGxIodKRKOwBsVgYdrAxHQ0/X+FlpFJ\nlZAvhC8WNU1gaNli0EcKnqormTSL9759BHt2Zmb8GyGU+bw/vRWZOGEYGhs2bMSGDRvxtre9w/Px\nYnTGXLcrd4p5TzbcCESdgkTWV6sqDEMHz/Oez627E6h/74xuSa3WpqY2BKwzJyiMvkZcvRCFSReZ\nCgGsaopFMuDKXMwPWsdagxHd9tOwkNdkGDokSZpRSaEoSyz64tlo7lBNULhwxMBENMUFqDqFzZuH\n8ODDE5Gsf3bSxJ5XrcKDDxx39bwrL8vghutnVjMAIJ2WAVANQukV8WhreIhHX2M04EYgmkgIdd1D\npRFU5l1cOrOiYheBej1uq2HVdN/NvpcRF8uyLS2XfhWKqEy6AECWE+C41hA1p+ZifkDGDlVVQ6Ew\nuDj6dg2LNeki1qeRrEkoQGx5TcOSjoyoIV+N5lJQ0xlcuFzHwdPRVFfOV3isGxXw8tFwv4sEp/Ms\nFi0Sce5c/3Zar2oGTVutUE3TUSz6EXbHo61hIzb1itGAkzYKw1gBappmYHq6+WP3Jy5t/XswbRMO\nqVQClYp7wyoCuxEXRQEsy4Hn20WMav2uuvlDGmTbpBfsKbHd7vhmvqamuRhN0541LOQYYcfRA1bf\nnmEYTE5OwzCMrrbq6xapePIEg6imDIYzFNgxMyKxKoWlIxkcPnbWd3qwFygqcNHGZTh3/5Gej7t6\nzwLccP0IEtLM94hMnFSrfq3t49HWKBBXNmI4hiBYWR/lcm1GCd6v5ThFUY22iRWg5v08B7HZmybq\nrYeZ2ohEojm/z7IsdF0PPdvESyXFek1NnQ0Rm1qeJU0NCxGcdns9zbRWfxbvbtE66dLsUXSzVV++\nSMBE1cSxc6GdYgtUg8amNRqeejmay1G+wmLHlhT2Pj24qlMvHB+nsHnzQjz77Mx2zlCaxR+8axVe\n+6ol4Di2QRLJ94/4w/idpmptm8SjrWFivkyjxGTDAbqNoNpFoPYAtbZnw8+Pl6IoMAzlixyEqZFo\nd8wko6WGYYLjuEac9SBNqwisEDXeN7lqFZv2NxcDKKTTznJVgobTALd2W/VlCQqnaDmyUViaY5BO\nGJguR3NHrfMykokiiuVoLvymkIYoTqFabX5PX707g/dcP4J0km2YcdmnrFKpJGiagqZpoGkaDMN4\nIrVNokEhJhrhQw+xyhslYrKB/tWHTq0QEqBWq6k9E1D9VDZUVUOtptTL3u4DvYCoNRIzKylWe2Km\naVUvLwy3sEZ5nWtS3KKzZ4klzEylZACoVxCqoRINQuy8TLowlImRTA1HIxqFNUwKG1brePzFaMhG\nTaNx6dZhPPjI+UjWz5eAHbuW46EHTmAozeLGd4zg8h0ztRmEJHIcC9M0MTVVbAi47cF/hPz2a/nF\nQtDoEVc2YjTQThgkSQDPsz0C1OzP9W45bprWaGa5PHN0k1x0Oo05EiSTRBAZdhm/eyVF04i7Z6tp\nVTottyWkess+8ROi5hVE72GaFvEol6uN/JtBEap2WKm8jK9Jl2UpFWMFHlUtolFUg8WqxRqOj0dz\nWZqsilizSsSR49E4i56c5PCmX1qC33jTIqST3d+DVEquh6lZvy1d1zsG/0mSBAAtlUT7dyMmGrMD\nsWYjRgOEMNC0JQI1DEsEOghC2k0EOjPQq5tVt6UhSKWSjaTWMIkzqaT0K+MD7aX8Cmiabmgj+vlG\ndELQIWpukErJHbJk+hEq5xWqbiDiV02z9DC+jkUBq4drODAu+TqOH6xYROHEuBlJbosJYGQ0g6Mn\nqqH+Zhga2LmRxRt281i2MNX1ccR8T9d15POdJ07arxPkN8Vxlq7sHe94B1avHsWWLVuxbdtOLF68\nbCCvKYZzhHkjGCXmvYMoYDmI9io+kLAsmqZQqSiuhVhDQ0lMTRV7Psavdwa5oAgCB5qmoWk6ajXr\nXMNyx7Q0EhwKhVIgAlRCqDiOawhMO2Wf2EPUCoViqFkDZKxV0zQUi/2t6O13njzP1QlXs+ztpqRK\n9BlBt8iePyNhuhbdfYimaHjuSHTrC9o0nny29+81CPAcsGcLh9ft4jGc7l1dYBi6PnGi+KrYnTx5\nHHv37sNjjz2GJ5/cj0wmg8suuxx/8AcfhCAIno/7SkOYDqK/9v6XZu0++5271scOomGBoizjJ8vW\nuuxp4yaVkW4bid1y3Ku+Q9M0iKIA0wTy+UJdxEimJ8w2q+5gv9tk+sE0gxWgOsk+0XUdPM81qiNh\nwstYa7fIebfmYlZSrIjp6ZKr0DknWLOghmdORzcKKwg0JMFEpRbN+pSUhCSWUKkOZg9IiMBV23lc\nvYOH3GGUtR2EVPofnzaxYsVqvPnNo3jzm38dhmHg0KGXkMu9AKZfZkOMgSFuo8wjdBNxEhGoVe6m\nPVcIyPE77cFBeGc0k1o1FApk1FFvVGDaNzRSIQhiIqTp2+F3xr8/2kPKEgmpTrBMCALfIo4bdHWD\nVHH8Trp0Mkzjea5NQNtqLmb17Gnk89MDeZ0yb2CxrGK85M351i90k8amUQ1PHIjm8lRVaWy/dAgP\nPToZ6HGHUhReu5PHq7ZyEHhnREoQeMiy5JtUdhptpWka69dnsX591vNxY/jHfGmjxGSjC0SRhyBw\nKJWq0HUD6bSft4qMvzY3hqAsx52kls7c0GZOhBBRphvDqqBGS70gmUyAYeiGYVW3cVSr5aIG1oMn\nLRtgMGOtRGxqESq7uZglCgQo6LqGYrE0UEK1eljBRJmDYUZTXVDBYNmQjjNT0dxxTykiRpbxOHnG\nvxHb0gU0Xn8Zj12XsGAZ5++nFSfA+7a3j0dbZzfiysY8BZkiME0T09Plxmbi1QUUmFk5CcJy3Nr0\nEqAo91kbnSdCuLqtdTNJtJthVbNtYg5ktLQX7BoJuyCy8ziq9Zo4Tq4TKn/241YFKdkSWjdI2M3F\nOE5DKpWAotRg+XhYQkIn5mJewDMmRjIKjk9F1censGYFhTNT0axumhTWrR/GyTNjno8xupzBda9J\nYvfmJGi6+Vk6qbyR6pVfQhtPnMx+WHvBKx8x2bCB51lIkoBqVWmEkAUB+/irYRi+qxksa/VwazUF\n5bKfHISZ5k4zKwStoWtOTaMGAVJSdtK7ttuPA00BrVf78aaHRblu3BUeJEmEKAozKkhElzOoas6K\ntILxEo+qGs3dcFWjsWkN8NyRSJbHRJHB1ktkPP28u99YdpTBNZfzyI6yACyLfNLK7Ddp1Zw4MZDP\n+5suionG3IChxWRj3oCiUA8VoxsBakHDNC2i4ddyfNDjnd0qBImEBJa1StrVag2KEu5oqSwnwPPe\nPUM6WXXPtB+3Nur2O8kgPCy8oDUpdmYFyfqsZgbkSZIAlpW7Tu84W5vCUFrGRSbwjLtQ0kAhiQY4\nloKqRUN42GQKAl9GTenN3CgK2LqexTW7eaxePrP1097K7JTQq2k6OI6t30T4qZzFYWpzCUZc2Zg/\nEEUegNU26YZ+EyW9oOsGJIkHw1Cey/itWoHBCAM7QdN0GIYBnuegqhqq1VqjukHTlK3qMRhRZqtB\nWDCeIe324827Th6ynGhUc3RdhySJM1o2YaCZFKuiUHB2Z92tmmOf3iETSb0ImxXsJaNWUyHTFSSF\nBIq1aLQTqkFj8xoN+w9Gc6mqKDR2bMvg4cc693NYBti1kcMbdvNYssD5xt4+aSWKPBIJq+IhSSI4\njvMo4o4+TG1y8jze/e634847v4TR0TUAgJ/85N9w333fwt13/30k5zSbYcxRu/JsNksD+BsAWwHU\nAPxeLpc72O3xMdkAUC4r6Df51WuipBcMw0ChUAbPMy1CPzdOmc3WRXiumDPXbrZNrE26uwkXISB+\nEZbVeqeJEFEUIEkJAIBh0JAk0TNRdIugkmI7hcnZba3t7TFSsSFr2wXHa4areO5MAlGJC02awYKk\ngfPFaDbPaVXCssVFnBlvbvoCB+zZanlkDKX8nZcgWETDXq0kY969ppJmghCN6MLUNE3DZz/7KfB8\nU+tz4MCL+MEP/mXe2HK7xRwWiL4FgJjL5a7IZrOXA/g8gF/t9uCYbDgG0V04+2K0e2c0L/xN6/GZ\nm/RMb4XmxEfwfgr90G/axDCMFs8IexnfcrX0LsqMctKF5zlwHId8vtAobbcTRUKqgm6rkAmEoF93\nJ22OvfJhmtZkFE1TM9ZOCQYWJTScK3OBnY+rcweF9SsNPPZiJMvDMClcsH4YZ8bHkZQoXLWdw1Xb\nnXlk9AP5vPP5Qkv7tnXMGw0jOKI50jQNpVIFR48exYoVI6AoQjKiTW29667/ibe85b/hnnusCkY+\nP4W77/4b/OEffgSf+cxtkZ3XbMYcFoheCeDfACCXyz2azWZ39npwTDYcwg0p7+ed0dl63NIPpFJs\nfVpEt4UthTvx4XXapFMZv3M1p/smPegQtV5ob1WRtTsRxWb2RDCGaYMeqW2HnShSFJBOJ0HTdH3M\nO1XXezQrH6uHazhfYSMbha0ZDNYt0/HymWjaOSZN4/rrJGxbz4DngnkPrPFtpu/nbZpoafuRKtW5\nc+dw000fQbFYxKWXbsf27buwc+dlGBlZ6Wt6zit++MN/xdDQEHbvvgL33PP30HUdt9/+F/jABz4U\nu5P2wBxOfU0DyNv+rmezWTaXy3W8K47tymG1R/q1UZJJCdWq0vNuMwjvDIoiIlCxcQFqBq4N3qxq\nUNMmnW26W9X4JEQtrNFSO7yOtTb1HixYlnPsANp6DEsjEYULql0bYl+beLFwHNco4+dOGTgyEZ3T\nJM8Y2PsiFRrhYWgTFyzVcPGIihXDwW0IhFAbhulYj9MNpgmMjZ3Fvn37sG/fE9i37wmMjKzEl770\n1YDO1jne9773NEjOwYMHUCqVsHz5CixZshSKouDIkcO49to344Mf/Ejo5+YWYdqVv+a/Pjxr99mf\nf3tP1/chm81+AcCjuVzu3vrfT+RyuZXdHh9XNuCsatEvvTUI7wzAah/wfLOE310X4Xwzc762CEEQ\nBtKy6RckZ5qWMVepVBmoPqMTiDivlzFaNzgxTOuV+NrUZ5QDHbd2gl422K1eLADLcli7mMXpPFAL\nt5vXgKLT2LxWw9MvD/aytShl4OIRFeuXKRAC7hzRNI1MJolaTUW57I9YktHWpUtX4I1vXIE3vvFN\nME0TlUq4hJXATnDe//4bcNNNNzcEoqdPn8InPnHznCAaYWMOt1EeAvAmAPfWNRvP9npwTDYcopul\nORCM5bh1hylD11unLrrpIhIJEQzDBhJfbrVNwm1dEDV+taoglUqAphlUq7XGxm83qxrkuKk11soG\nNtbavkmTag6Z3rG3XCRJqBNLb+O8ftDNu6MTLHMxS8y8MsPi0ER0qbAMxyAlGShUghWLsoyJ9cs0\nbF1rYvUSFhwnwTBEV6nDfddgGaTTyUAyTrqNtlo2/gk/pxkjZMzVaRQA3wFwTTabfRiWUOhdvR4c\nt1HqYPvQrkRCgK4bLXefpG3il5m6Mauyw76Z8TxXnzBw5ygZ5aRLM9OltYRv98HgOA6DCJKzR7M7\nSWsNAnZhMM9bt8wkmXcQAXndQNwpvSTkmibw7JkESkqE7RRKw+O5YO6TFqV0bBxRsX65Cr7tkO2p\nw15aZI1zrlew/PvjRD/aOh8QZhtlviAmG3X0IxuSJDRaAUBr28QrKMoyq2JZFoVC0beZGHH/JASk\n3f2zHaRtYkXCh1sbd9O6aNdF+A2SI+Fxgx6p7YSmh4XlUmvfzPyYcDlBUARrusrg+bEo755NnDtv\n4MQ5b4SHY0ysX6Zi40oVi9POf3NNHQsLlmUdT1tZVSRrwsjPb9y6VBOSEe+Fg0RMNoJHTDbq6Ec2\nLOMvoFpVArEcZxjrrl7TtIHdWZMEUbvIT1FU6LqGREKCaQKFQin0+XfiyDk9XfLUuugkXnQaJNck\nWOGP1JIKVjeCRbwVvLyufiAVrKAIVm5cxPmIRmEBQGB0PPaCu013SVrHxpUqLlymggugMEM+K55n\nQdOdTdPIxMn0dDGAjJOYaISFmGwEj5hs1MEw3TUZACAIVpuiXK743pydJLUGDdKaEAS+Pg0CKEq4\nJXx7iFpQBMtuVsXzLLoFyZHRUooCpqfDJ1iybAl/nd7dtr8ue4vM7VRSM9clOIv7qkrhqVMyzAg3\nPrWq4fljve8SBA64eKWBi5ZWsDA1OO1Pp8+LRBQUCt5INUHUGSd2R1BFqeHOO++oV1F5fPzjt2LB\ngoWRnNcgEZON4BELRB1CVXWkUtYdOZkGcXtnTFFUIxo97JwN0zTBsgxY1soXIRbkgsAjmZR9tyb6\nQRA4yLJ/V8x2OAmSa2ZO+J8AcIumb4jpyj+jmwlX5yCv7qFrQQtgCUTOxLK0itPTfGDHdAspQUPk\nzI5BccuHdexcz2J0YRW6Ftz3rRvsn1elQiOdTtYroAaGhlIwTW+6o6iJRrsj6Be/+Hl86EM3Yf36\nLL773fvwjW/8Az7wgQ9Hcm4x5hZistEHRASqaTrOn5/qmB7qxHbcLob0O1vvFt2mTVpDvNpHNpu2\n435L+OSuPoypi/YgORJcZxgmRFGwkUXv0ztOEWQkfftUkn102GrH6Y3voabpjfRQkikzCKzM1DBe\nZKEZEW2EBo1NazXsPWBdxgTORHa5iq1rgdXLgq3kOAWZOGlvVxHdkUXuE47IYtREA5jpCPrJT34K\nixYtAmBNlNltyWPE6IWYbPRAu+U4MDM9lGgienlgSJIASQq3bULgdNqkdWSzPRXV213ZIELU3IDc\n1RMr6N6jqMEapvXTZ/hFe5CXnQQzdYc6RRlsJYelgVVDCg6fFwe2Rj/oYJBdoWLlAg0XLNWQTkng\nOC70yiHQe+KkU/4Ox3EtZHHv3r0olyvYsGEDeF5E1ESj3REUQINoPPvs0/j2t+/FXXeFbx4WY24i\n1mzU0a7Z8OKdQS4gPM82PDBomoZpkr5tuG8nEUMWi/7u8LpNg/Samohy4oNMXei60bOKZG9NWNM7\npu11dW9N9AMhOdPTxdA3PEJyqlWlPmrbXccSBEwTePp0AhU13FHYpAiMDFNYktLBUtZrk2UJABWJ\n6FmSBIiiWNfkuK+YcRyLf//3n+Cb3/wmDh06hI0bN2HHjsuwc+cuXHTRhgaBDBPtjqCrVq3G7bd/\nAU89tR9f//rX8KlPfQ4jI10NI+c0Ys1G8IjJRh00bf0JyjuDWG8bhgGapkAu+GEIMu05G4O48JKp\nCZ7nGq0kuwFXlBMffqYuCFkkr89tkBzJlDEMA8ViKfRKTjcRqqVjab4uwzBaKlV+MVVh8MLZwY/C\n8oyBRbKGRbIKmTe6+pYQwhgW4ZDlBDiOqZNL/xMnhUIJTz21H/v2PYG9e5/Af//v1+Paa98c2Pl6\nAXEEffHFX+Bf/uXbuP32zyOdzkR6ToNETDaCR0w26qBpoEky/L3sThWF1gu+s+qAFxCSU62GY9Jl\nb7kQYzHDMFAuVwO/i+4H4ooZlG+I3VisX9ory1okp1oNNlPGCdySS3sFzo1fRDdIkohnT3EYH4A0\nhKFMLEioWJzUkBb0GRNjRBdTqVShqmoLWQyaVLWDooBUKgkAKBSKvshlU59BYTaOtr7//Tfgwx/+\nKN73vvdg6dJlSCat171t2w68+93vjfjsgkdMNoJHTDbqoCgDpmn4yjWxp6X2u+h3rg74iy0Pqm3i\nBWSzVRQFum5NuhCjKrtwcRAIY6y1c5Cc9ZnRNB34aKlTMIw1+eBn0sYNqWoH0YiMTZTw1MlEIKOw\nFEwMSRoWyxqGExroLockGoluuhh7pcr6LvojVXbQNIV0OjUjwM4LZoMQNEYrYrIRPGKy0YCJZkXD\n+v+WXsPZd45c+LykpTaFpq2JqOTC6OT5g2yb9AMRwHbabFuNj4IhVXZElZjanAYRQdNUg1R5GYn2\nikGEuNm/i72s4u0tI6KLOXxewJmC11FYEylBx2JZw8KECraPRKHpyllyrJGYacLlbeLK+s5Z1RS/\neqSYaMxOxGQjeMRkoyvMtj/oSj5Ir9wq3/vfaNozGXqFrYXdNrGD+IY4zdnoRqr6eUV0w6AnPnqh\naf1t6TPaNzL7WKPf0eFOsKpY7jZbL2gXBxuGXvct4WZ851QdePJUErrh/DotcRbBWCSrEFhnX4Bk\nUgbD0L5cOb2apvWrprhBTDRmL2KyETxisuEYZMNoVj1OnjyJO+/8PG699c+RTKYHVlEgF8T2sDWG\noSNrmwRRUWgnVW7K3JYoL5hMGbfoJ0IdZJAcRVmbLU1TkTihSpKAREKCrhugaXoGET49zeHIZO9R\n2Hahp1PYvUOC9qrpNplkT3wVRVLB8yt8jsPUZjtishE8Yp8Nx7BfFEz8+Mc/wl/91Rdwww03QpKS\ndWHpYL6fJN67VKo0hKayLIGirPK9Nd6I0AiHmxC1XujkFWHdOXb3wLCX7/P58L07erWMCOxukkCz\nOiCK/txarWpKEqqqolAI1wkVaFZTpqYK0HW9o2+JnNQwVjRQUVs30X5Cz35oalMU3wZpndDLNC2Z\nlEGqm8Viec4TDbv9OMMw+Mu//CQoisK6dRfgwx/+KGg6JkAxgkdMNjzgjjs+jf379+LOO7+E9euz\nsIy/gNaWy2DWZhgakiQ2TLranT/tfgqD8HhoN8oKEs3Nt2ITZDYN0wix8qKLCQIkmn1qatrViONM\nQ6d2t9b+gWtkQw/a7t0pCJmwW65b+TqEVDU/s4uWsXj6OEBTwMKkicWyijSveA4ubL724LQp/WAn\nwum0DIqioaoqJElEMin3bG12Q2vbJJob53b78b/+6y/gPe/5fWzfvhN33PEpPPDAz/Ga17w2knOL\n8cpGTDZcwjRNrF9/Ed73vj9CIkG8BVqrHtbdS/P/uxGa9gIZ7bS3Tfo5f/rRRNhhD1EblP21HYZh\nttxpyrIEQeBhGAYkyXKJJKRq0LbjpKKgaRry+YLv43X6zDiOgyQJ6GTAZTeMCpBN1vUAACAASURB\nVNu3xB5Ln8/3bl2QzyxBK7hoEYsFsglJZOuTSZKnig5pXUTz2qn6566jWCSfe7WrE20v4fNsGW1t\ntx/P5V7Etm07AACXX74Hjz/+WEw2YgwEMdlwCYqi8Ja3/HqvR6D1YmLW7wT7C017rUmmTezZJu3o\nVL7nea5RCvY6+tecegj/rtouQrVXFAipIhd78rqCth0POpq9Hf2C5KzHAOWy3/K9e3TL+XCChbJF\nJqpVvfFcMu5tr+j0qg4QXU4+H771OJk46eSb0q2iw3EsJEkCYOLMmTE89thj2Lx5C4aGFmA2CEE7\n2Y9bUQzWtSiRkFEqFaM8xRivYMRkY+Cwkw/3VQ8ybeIlzEvXjXq7pbMmgmzQvcy3wgxRa4ddhNou\nCOzUcmlPRPVr5kQqSWHeVZMgOUVRkU4noetWaq0oCpBlb+V7LyCTPkF6hzQ/s9aKTjottAifNU2D\nLFtVwyh0OYRgOtUktVfhrEmZAn7ykx/jU5/6SyxZshQ7d16GnTsvw9at220V0XDxgx98DxRFYe/e\nx3Hw4AHcdtufYWpqsvHv5XKpYdYVI0bQiKdRIkX38Vpd13H//T/DtddeO5DYd/sGTdwWm9UBrSVE\nrVgshz71QDY7L9WUThk1bjbo5sSHs5HeoMGyLNJpeYY2xV6+txtwBR0k1832fJCwT4OQsWjLetx/\nC9ANRFFAIhFE28aEaVLQNAMvvpjD3r2PYd++J0DTNL74xS8Hdr5eQezHv/SlL+K3fuu3G5qN7dt3\n4vWv/6WoTy9yxNMowSMmG7MK1oX9/PlzuO22T8IwDHzuc3fWxycHC5ZlGqOaLNuaGhr2aGmQm519\ng24fHe5U0SHaFFXVUCqVfa3tBWTSx0lFYSZh9BckF7U5HCFZ5XIFqqq3jUXrjWrVoKpMsmxpgfwH\n6EU/cdIPhGxQFIXPfvYvoaoqRkfX4KMf/XgkoW+zDTHZCB4x2Zhl2L9/L/78z2/Bdde9Ge9857sb\nG3+QQtNeIJbn1WqtMbJpCU2bmohB7UFhBJkRTQQhIPaKDtGHRDXx4Tct1u5b4jZIzj5WG6YTK0G/\ntk1Q7p/dYNndB5EYS4hGdBMnMfwjJhvBIyYbswiapuGGG96JG298Py677PK2f201FQOCHa/tdVfb\ndJEcXN4J6ZOHPdZKWi6iyNdNqvRGcmhYFR27WVWQJMtp5knUY7WJhARBcF7JajVNY9FpgscpyHuv\n6zqKRX+VLJLaGhONuY+YbASPmGzMSfjLcWkHCVFzKkLttIn50Q04McoaFOwhboVCuUXvQTaxIJw/\nu4GklnoRALtBtyA5APWNPpikXLcg00R+3FBnVqucCYSJUVi1qvi2+o+tx19ZiMlG8IjJxisCznNc\n2uF3o++uG+g/CRK1EJNsNt0s14lbqz2yvOlb4n9jjjLbhWGYRmIrRQGaNnhNhB2tHhbBamPshJFk\nC7W3k4Ks5sRE45WHmGwEj5hsvCIxM8elE/Egm02QG33zQs/1dMfst9EPGl68Q+wiWqfOn90QxcQH\ngdU6kGEYZqNtE2aQHKnmdPKwGATsLReapqHrBhiGnvNharqu4zOfuQ3Hjx8FQOGmm/4HdF3HHXd8\nGgzDYNWq1fjYx26J7cc9ICYbwSP22XhFotXRtGkqZv394MED+MQnbsEdd3wOIyOrAl1Z06xU0Eql\nuzumYZgQRT5yjYBb7xDy2jq7tcJRy6XVoK0Q+sRHt4wRUq0pl+H5tTlBkKmpTmGvRCUSEkSRh6pa\nXh6y7DUkzxptjbKi8dBDDwAAvvzlr2H//r3427/9G1AUjXe96/dwxRVX4tZbP46HH34QV155VSTn\nFyOGHTHZeMWjaSpmmia+971v46tf/TL+5E8+hhUrVsE0B5fj0u6OyTA0ZDkBQbC+dqIogGHo0Er3\nQW70TsPWrDFUrfEYa6O3RorDhtNqTr/XZhi6p3YSMUmLwiAOaGbbTE42XXjJaxME+2tr+s10xuwY\nbb3qqquxZ8+VAICxsTNIJlMYGVmJ6Wnr9ZXLJbBsfImPMTsQt1HmEe6887PYv38vbrvtsxgdXYOg\nhaa9QMZaTdNAoWCZhLWW7umBGFQREDfSsDZ6ovMgLRdd18Ew9MBsz/uBbPT+49GbQXJu2kmDaNk5\nRXPixJr26YVObcBKpYJDhw5j5cqVoCg7yZgdlfbbbvsE7r//Z7jtts8gn5/CF77wWQwPD0OWk7jr\nrr+FIAhRn+KcQ9xGCR4x2ZhHePzxR7F589Z6fkMneBea9gKZdqlWa11V/xRFNfrqPM8FZjkORCvE\nBCzvElEUoKpa/U7TbLl7HnQrZZAbvb1VZp/gIcQRQGOst91yPgz4iaYnhnD5/BTe+94bMDExge3b\nd2Dnzt3YuXM3VqwYGdBZu8fExDnccMM7UatV8Vd/dTfWrbsA9913L44cOYyPfOSjUZ/enENMNoJH\nXGObR5jp3dEOfzkuneB02oXYUzfzJSwxZiIherIcJ2hmuxQiEGI2p206le7/f3v3HhV1nfcB/D0X\n5j4DKAaISWGK7W5bKqa23klXy1o92W5Pl6dc16hFxEsF+YCIXEIxlMQLWqgJamyUtou57VmPlg+l\nEFvq2UetPd5S8s51gGFmfs8fP37DzDADw8xv+A3M53VO52wozHfaw8xnPt/PpWNBnnc6QayHpPGx\nrdaRrhfJqdo7XYyCZHM87TjhFq4plWrs3l2CmzdvoaqqCpWVJ/D++4XQ6XTYuXNvr0z4deTw4XLc\nvHkDL720AAqFon3FgA5qNXtVGBIyCKdPfy/I2QixR5kN4qKeZT1s21qbPBr/bD9y3JX5F1zHBcMI\nM3q7YyJn92PPHV0ndbWu3BUdHR/Os0ne1DGkjQ0y3N1T4y4+F8k56jhhGAa3bt3EoEH3ePSzPdHc\n3Izs7HTcuXMbRqMRL774MnS6IGzb9h4kErbtNykpBeHhgwU7Y19FmQ3+UbBB3OR8oumVK5dRX1+H\ncePG8T5DAbCffxHQqRiztwZlOdOxlr4ZLS09+0Rtf53EZQ56spBMiI4Pa86WmfXWIjl25L6Ml7Zi\nmqHhnyjY4B9doxA32bbXci22R478Exs25OLtt1d6JdAAuDXsrZbUPFewqNEoLUuk2D/v/bZa7trI\n3Ymcjq+TpFZXLl3vO+HeaIXq+OCWmdXWNnTKynDXEmwA1GwzEE6tVlrqdDzZ9MrVp3jeVix8aysh\n/QllNggvjEYjtm7d1F4V/w6io0fCW3tcnFGrVQgIkKK1tdVS82GdGfD2p3x2kZqkfZGad351nI+K\nN0KtVno8+ttdIhGg1WoAAA0NjW4FCtaL5NgdPK4vkrMeVOZ5IapvtLYS4VBmg3+U2QD7RvnOO+mo\nqalBW5sBL7+8EKGhYTSJrweOHTuCq1ev4IMPPoROF2j1J/wUmnbFthCy3uaNzj4z4I2aAe7xTSYz\namu9U4jJ6ZhtYZsZ0GhUlqyIVCpFW1vvXZ/wtTHWZDKhudlkqfPgAiu29sf5IjmxWIzAQH7ml9he\nm9D7DSF8ocwGgPLyz/Djjz8gMXEF6uvr8MorzyM6+kE8/fRcyyS+2NiZNImPF/y21/a0EJIrxOQy\nA9ZZD3eyAb09etvR4+t0Guj1LWhrMzrMDBgMbV67UrF+fG92nDiuZWGDDqVSzvOOE+uurN7jaPx4\ncPAArF2biYaGBpjNJ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UIfs5/p2R6X7qhUSsjlAair637HCcAuWeMCD6lUCr2+Cfv3f4Rf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\n6v8BckescGTRGJkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, vega_1], ['gbm1', 'gbm2', 'vega gbm1'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the one for the second **risk factor**." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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QPiHrh3aeH2Fy28Em2cvxqz+sQX1DsdhLpKGb63YmCBoNwLNtayhW9cHk3TXR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\nmEOHDnD48EHmz0/lx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, vega_2], ['gbm1', 'gbm2', 'vega gbm2'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we reset the intial values and the volatilities for the two risk factors." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "# restore initial values\n", "vc.update('gbm1', initial_value=36., volatility=0.1)\n", "vc.update('gbm2', initial_value=36., volatility=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## valuation_mcs_american_multi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In general, the modeling and handling of the valuation classes for American exercise is not too different from those for European exercise. The **major difference** is in the definition of payoff function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Present Values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This example models an **American minimum put** on the two risk factors from before." ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "# American put payoff\n", "payoff_am = \"np.maximum(34 - np.minimum(instrument_values['gbm1'], instrument_values['gbm2']), 0)\"\n", "# finer time grid and more paths\n", "val_env.add_constant('frequency', 'B')\n", "val_env.add_curve('time_grid', None)\n", " # delete existing time grid information\n", "val_env.add_constant('paths', 5000)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "# American put option on minimum of two assets\n", "vca = valuation_mcs_american_multi(\n", " name='American minimum put',\n", " val_env=val_env,\n", " risk_factors=risk_factors,\n", " correlations=correlations,\n", " payoff_func=payoff_am)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4.607" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vca.present_value()" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "matrix={'gbm1': np.array([ 33.8899222 , 39.25932511]),\n", " 'gbm1gbm1': np.array([ 1148.52682654, 1541.29460798])}" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'gbm1': array([33.8899222 , 39.25932511]),\n", " 'gbm1gbm1': array([1148.52682654, 1541.29460798])}" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "matrix" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 33.8899222 , 1148.52682654],\n", " [ 39.25932511, 1541.29460798]])" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.array(list(matrix.values())).T" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(261, 5000)\n", "(261, 5000)\n" ] } ], "source": [ "for key, obj in vca.instrument_values.items():\n", " print(np.shape(vca.instrument_values[key]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The **present value surface** is generated in the same way as before for the European option on the two risk factors. The computational burden is of course much higher for the American option, which are valued by the use of the **Least-Squares Monte Carlo approach (LSM)** according to Longstaff-Schwartz (2001)." ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "asset_1 = np.arange(28., 44.1, 4.)\n", "asset_2 = asset_1\n", "a_1, a_2 = np.meshgrid(asset_1, asset_2)\n", "value = np.zeros_like(a_1)" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 4.41 s, sys: 202 ms, total: 4.61 s\n", "Wall time: 4.62 s\n" ] } ], "source": [ "%%time\n", "for i in range(np.shape(value)[0]):\n", " for j in range(np.shape(value)[1]):\n", " vca.update('gbm1', initial_value=a_1[i, j])\n", " vca.update('gbm2', initial_value=a_2[i, j])\n", " value[i, j] = vca.present_value()" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "image/png": 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wshm1hN+mGq3Axy30FkwIYBgWlpay5X9rJjytNqjyN8Sv/6DdNkormKnOfsRi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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, value], ['gbm1', 'gbm2', 'present value'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Delta Surfaces" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same exercise as before for the two **delta surfaces**." ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "delta_1 = np.zeros_like(a_1)\n", "delta_2 = np.zeros_like(a_1)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 16.7 s, sys: 730 ms, total: 17.4 s\n", "Wall time: 17.4 s\n" ] } ], "source": [ "%%time\n", "for i in range(np.shape(delta_1)[0]):\n", " for j in range(np.shape(delta_1)[1]):\n", " vca.update('gbm1', initial_value=a_1[i, j])\n", " vca.update('gbm2', initial_value=a_2[i, j])\n", " delta_1[i, j] = vca.delta('gbm1')\n", " delta_2[i, j] = vca.delta('gbm2')" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "image/png": 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ImM3vfQt9v30jwf4+Zs/75/8iCmcFRbgJCMZiseuGhoauBT4OvAJgaGhIAz4J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\nBFZyZYmWrufuI/XUMxX9Dju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ZBnQD1EYlHi2ulcGeOA7N3qdGkjnm7MR0arBl0wLYvQPY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\nEE76f82v5VkQdFrDAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, delta_1], ['gbm1', 'gbm2', 'delta gbm1'])" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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eCkAmk0HTCr/l3HrrL7npph9PONbR0UlTk+fOi0ajJJPDU8ade+75xW22yghd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\nSCQSdOnSFYWFBejRI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WlpnTBu3J+ifdSws3r1CowY8Zzny7Dy7sSxY0dp8TPG8DdOTE3t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\nIAiCIBoUVLwQBEEQBNGg+P+gVm650x+ScgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, delta_2], ['gbm1', 'gbm2', 'delta gbm2'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Vega Surfaces" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And finally for the **vega surfaces**." ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [], "source": [ "vega_1 = np.zeros_like(a_1)\n", "vega_2 = np.zeros_like(a_1)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 17.5 s, sys: 747 ms, total: 18.3 s\n", "Wall time: 18.4 s\n" ] } ], "source": [ "%%time\n", "for i in range(np.shape(vega_1)[0]):\n", " for j in range(np.shape(vega_1)[1]):\n", " vca.update('gbm1', initial_value=a_1[i, j])\n", " vca.update('gbm2', initial_value=a_2[i, j])\n", " vega_1[i, j] = vca.vega('gbm1')\n", " vega_2[i, j] = vca.vega('gbm2')" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZEGBkJA5d7249iSy6AqLUY08M08Te3903wAUFi/zMC9h1zc+xzwffEei4/Qg+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\nZ/1KjQvXtycz1GjDgKqq7Nixkx07diLLHtLpNM8++3TTFvR33PFDdu/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7TvJ6MymqquD3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bfdyq9//WsWLVrEtm072L59B9u2XczAwGA3foQFwTzsjrof+CF2tqSUS4FfTwclmUgksg/YDPy2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\nCOPG3YNPP92Lzp07Y/r038cxY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, vega_1], ['gbm1', 'gbm2', 'vega gbm1'])" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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wnSIuOwmKIZGQeUVReLjOfhQoehZU1TaeLljQygZWTZCRkOqmYzOjNMGLn1lH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\nvJWKQvpoWqsn2npq9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, vega_2], ['gbm1', 'gbm2', 'vega gbm2'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## More than Two Risk Factors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The principles of working with multi-risk valuation classes can be illustrated quite well in the two risk factor case. However, there is---in theory---**no limitation on the number of risk factors** used for derivatives modeling." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Four Asset Basket Option" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider a **maximum basket option** on four different risk factors. We add a **jump diffusion** as well as a **stochastic volatility** model to the mix" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [], "source": [ "me3 = market_environment('me3', dt.datetime(2015, 1, 1))\n", "me4 = market_environment('me4', dt.datetime(2015, 1, 1))" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [], "source": [ "me3.add_environment(me1)\n", "me4.add_environment(me1)" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": [ "# for jump-diffusion\n", "me3.add_constant('lambda', 0.5)\n", "me3.add_constant('mu', -0.6)\n", "me3.add_constant('delta', 0.1)\n", "me3.add_constant('model', 'jd')" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": [ "# for stoch volatility model\n", "me4.add_constant('kappa', 2.0)\n", "me4.add_constant('theta', 0.3)\n", "me4.add_constant('vol_vol', 0.2)\n", "me4.add_constant('rho', -0.75)\n", "me4.add_constant('model', 'sv')" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [], "source": [ "val_env.add_constant('paths', 10000)\n", "val_env.add_constant('frequency', 'W')\n", "val_env.add_curve('time_grid', None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, we need to specify **three correlation** values." ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "risk_factors = {'gbm1' : me1, 'gbm2' : me2, 'jd' : me3, 'sv' : me4}\n", "correlations = [['gbm1', 'gbm2', 0.5], ['gbm2', 'jd', -0.5], ['gbm1', 'sv', 0.7]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The **payoff function** in this case gets a bit more complex." ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "# European maximum call payoff\n", "payoff_1 = \"np.maximum(np.maximum(np.maximum(maturity_value['gbm1'], maturity_value['gbm2']),\"\n", "payoff_2 = \" np.maximum(maturity_value['jd'], maturity_value['sv'])) - 40, 0)\"\n", "payoff = payoff_1 + payoff_2" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\"np.maximum(np.maximum(np.maximum(maturity_value['gbm1'], maturity_value['gbm2']), np.maximum(maturity_value['jd'], maturity_value['sv'])) - 40, 0)\"" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ "payoff" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, the instantiation of the valuation classe remains the same." ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "vc = valuation_mcs_european_multi(\n", " name='European maximum call',\n", " val_env=val_env,\n", " risk_factors=risk_factors,\n", " correlations=correlations,\n", " payoff_func=payoff)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example Output and Calculations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following just displays some example output and the results from certain calculations." ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'gbm1': ,\n", " 'gbm2': ,\n", " 'jd': ,\n", " 'sv': }" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.risk_factors" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'gbm1': ,\n", " 'gbm2': ,\n", " 'jd': ,\n", " 'sv': }" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.underlying_objects" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "13.197" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.present_value()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The **correlation and Cholesky matrices** now are of shape 4x4." ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
gbm1gbm2jdsv
gbm11.00.50.00.7
gbm20.51.0-0.50.0
jd0.0-0.51.00.0
sv0.70.00.01.0
\n", "
" ], "text/plain": [ " gbm1 gbm2 jd sv\n", "gbm1 1.0 0.5 0.0 0.7\n", "gbm2 0.5 1.0 -0.5 0.0\n", "jd 0.0 -0.5 1.0 0.0\n", "sv 0.7 0.0 0.0 1.0" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.correlation_matrix" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1. , 0. , 0. , 0. ],\n", " [ 0.5 , 0.8660254 , 0. , 0. ],\n", " [ 0. , -0.57735027, 0.81649658, 0. ],\n", " [ 0.7 , -0.40414519, -0.2857738 , 0.51478151]])" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.val_env.get_list('cholesky_matrix')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Delta and vega estimates** are generated in exactly the same fashion as in the two risk factor case." ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.4549" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.delta('jd', interval=0.1)" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.3782" ] }, "execution_count": 88, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.delta('sv')" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5.8494" ] }, "execution_count": 89, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.vega('jd')" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.199" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc.vega('sv')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Delta for Jump Diffusion and Stochastic Vol Process" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, we cannot visualize **Greek surfaces** dependent on initial values for all four risk factors but still for two. In what follows we generate the **delta surfaces** with respect to the jump diffusion- and stochastic volatility-based risk factors." ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [], "source": [ "delta_1 = np.zeros_like(a_1)\n", "delta_2 = np.zeros_like(a_1)" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 8.28 s, sys: 820 ms, total: 9.1 s\n", "Wall time: 8.44 s\n" ] } ], "source": [ "%%time\n", "for i in range(np.shape(delta_1)[0]):\n", " for j in range(np.shape(delta_1)[1]):\n", " vc.update('jd', initial_value=a_1[i, j])\n", " vc.update('sv', initial_value=a_2[i, j])\n", " delta_1[i, j] = vc.delta('jd')\n", " delta_2[i, j] = vc.delta('sv')" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "image/png": 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OGuNWwtv+81Evf85k0shyvfxZUWRMs8sOIyLSPZOPSPd0R4iUVQZh8lq7vV+K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QYBdZMYRrzCXD+zeTRN6zk64ra7DkMYe7Gb9iNoqBxtN0SpJISFU2vJPjWYRsIHncDtBao10nUj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\nX49z585gMBho2dI49DAu7iohIZ358899b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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, delta_1], ['jump diffusion', 'stochastic vol', 'delta jd'])" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "image/png": 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qYUXWyZfurQubcrRsx7IFZTmPcCyMFx/B/5OvoZwqtjOq8ecClWqLX+vzSyS5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\nnC+/9JgW+o6eWLp0CR98sMBvg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, delta_2], ['jump diffusion', 'stochastic vol', 'delta sv'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Vega for Jump Diffusion and Stochastic Vol Process" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the same exercise for the **vega surfaces** for the same two risk factors." ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [], "source": [ "vega_1 = np.zeros_like(a_1)\n", "vega_2 = np.zeros_like(a_1)" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 7.82 s, sys: 710 ms, total: 8.53 s\n", "Wall time: 7.97 s\n" ] } ], "source": [ "%%time\n", "for i in range(np.shape(vega_1)[0]):\n", " for j in range(np.shape(vega_1)[1]):\n", " vc.update('jd', initial_value=a_1[i, j])\n", " vc.update('sv', initial_value=a_2[i, j])\n", " vega_1[i, j] = vc.vega('jd')\n", " vega_2[i, j] = vc.vega('sv')" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [ { "data": { "image/png": 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VjEQiPBJjn5tSUrrZ1nY4EIKSeVV57LwFxniKov/cTLu/oNQrjLUXynpFmoYR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\n70F8/H5atbqDhx8eypNPjsZqtXLw4H6GD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, vega_1], ['jump diffusion', 'stochastic vol', 'vega jd'])" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "image/png": 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/tIOjL5xg/3ceIj/RfCXOC9H/th1Yh9sv7LQQ+sAyQpdeUdEaN2ZQ+Xw+tmzZ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ltf1u7daztuN03rccVIR2Hf1EZHz3HHHX+NaZp87nN3oyhK07csy1J+ArEs20O5cjmNVCrd8ELV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\nCahl95pqCzwg89abs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_greeks_3d([a_1, a_2, vega_2], ['jump diffusion', 'stochastic vol', 'vega sv'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### American Exercise" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a final illustration consider the case of an **American minimum put option** on the four risk factors. This again is a step that leads to a much increased computational burden due to the necessity to apply the least-squares regression approach." ] }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [], "source": [ "# payoff of American minimum put option\n", "payoff_am_1 = \"np.maximum(40 - np.minimum(np.minimum(instrument_values['gbm1'], instrument_values['gbm2']),\"\n", "payoff_am_2 = \"np.minimum(instrument_values['jd'], instrument_values['sv'])), 0)\"\n", "payoff_am = payoff_am_1 + payoff_am_2" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [], "source": [ "vca = valuation_mcs_american_multi(\n", " name='American minimum put',\n", " val_env=val_env,\n", " risk_factors=risk_factors,\n", " correlations=correlations,\n", " payoff_func=payoff_am)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, another illustration that even such a complex instrument can be handled as elegantly as the most simple one (i.e. European option on single risk factor). Let us compare the **present value estimates** for both the European and American maximum basket options. " ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.78 ms, sys: 24 µs, total: 3.81 ms\n", "Wall time: 3.84 ms\n" ] }, { "data": { "text/plain": [ "13.197" ] }, "execution_count": 101, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# restore initial values\n", "vc.update('jd', initial_value=36., volatility=0.1)\n", "vc.update('sv', initial_value=36., volatility=0.1)\n", "%time vc.present_value()" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 335 ms, sys: 39.7 ms, total: 375 ms\n", "Wall time: 321 ms\n" ] }, { "data": { "text/plain": [ "14.301" ] }, "execution_count": 102, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%time vca.present_value()" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 439 ms, sys: 48.3 ms, total: 487 ms\n", "Wall time: 401 ms\n" ] }, { "data": { "text/plain": [ "-0.0034" ] }, "execution_count": 103, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%time vca.delta('gbm1')" ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 491 ms, sys: 59.4 ms, total: 550 ms\n", "Wall time: 452 ms\n" ] }, { "data": { "text/plain": [ "-0.2115" ] }, "execution_count": 104, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%time vca.delta('gbm2')" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 514 ms, sys: 55.1 ms, total: 569 ms\n", "Wall time: 475 ms\n" ] }, { "data": { "text/plain": [ "1.994" ] }, "execution_count": 105, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%time vca.vega('jd')" ] }, { "cell_type": "code", "execution_count": 106, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 546 ms, sys: 56.1 ms, total: 602 ms\n", "Wall time: 509 ms\n" ] }, { "data": { "text/plain": [ "0.5641" ] }, "execution_count": 106, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%time vca.vega('sv')" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Duration for notebook execution 1.19 in min\n" ] } ], "source": [ "print('Duration for notebook execution %.2f in min' % ((time.time() - t0) / 60))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Copyright, License & Disclaimer**\n", "\n", "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", "\n", "DX Analytics (the \"dx library\" or \"dx package\") is licensed under the GNU Affero General\n", "Public License version 3 or later (see http://www.gnu.org/licenses/).\n", "\n", "DX Analytics comes with no representations or warranties, to the extent\n", "permitted by applicable law.\n", "\n", "http://tpq.io | [dx@tpq.io](mailto:team@tpq.io) |\n", "http://twitter.com/dyjh\n", "\n", "\"The
\n", "\n", "**Quant Platform** | http://pqp.io\n", "\n", "**Python for Finance Training** | http://training.tpq.io\n", "\n", "**Certificate in Computational Finance** | http://compfinance.tpq.io\n", "\n", "**Derivatives Analytics with Python (Wiley Finance)** |\n", "http://dawp.tpq.io\n", "\n", "**Python for Finance (2nd ed., O'Reilly)** |\n", "http://py4fi.tpq.io" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 1 }