{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "5vVwu4TTPiNB", "pycharm": {} }, "source": [ "# Binomial Model for Pricing Options\n", "\n", "Keywords: glpk usage, option pricing, binomial model\n", "\n", "This notebooks demonstrates techniques for pricing options using a binomial lattice to model prices of the underlying security or commodity. The notebook makes use of the pandas_datareader library to download pricing information, and the Pyomo modeling library for some example calculations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": {}, "colab_type": "code", "id": "e5yGv9GoPjcl", "pycharm": {} }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import scipy.stats as stats\n", "\n", "import shutil\n", "import sys\n", "import os.path\n", "\n", "if not shutil.which(\"pyomo\"):\n", " !pip install -q pyomo\n", " assert(shutil.which(\"pyomo\"))\n", "\n", "if not (shutil.which(\"glpsol\") or os.path.isfile(\"glpsol\")):\n", " if \"google.colab\" in sys.modules:\n", " !apt-get install -y -qq glpk-utils\n", " else:\n", " try:\n", " !conda install -c conda-forge glpk \n", " except:\n", " pass\n", "\n", "assert(shutil.which(\"glpsol\") or os.path.isfile(\"glpsol\"))\n", "\n", "from pyomo.environ import *" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Z7KIygSbPiNE", "pycharm": {} }, "source": [ "## Historical data\n", "\n", "The first step is download historical data for a selected security or commodity. For the purposes of this notebook, it is useful to choose security of commodities for which there is an active options trading so the pricing model can be compared to real data.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "url = \"https://raw.githubusercontent.com/jckantor/ND-Pyomo-Cookbook/master/notebooks/data/Historical_Adjusted_Close.csv\"\n", "S_hist = pd.read_csv(url, index_col=0)\n", "\n", "S_hist['AAPL'].plot(title='AAPL', logy=True)\n", "plt.ylabel('Adjusted Close')\n", "plt.grid(True)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "hBQDEvszPiNL", "pycharm": {} }, "source": [ "### Trim data series" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 263 }, "colab_type": "code", "id": "WsS4iC36PiNL", "outputId": "9889c0b7-74e0-46ca-ef88-c7de587ec71c", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "nYears = 3\n", "\n", "S = S_hist['AAPL'].iloc[-nYears*252:]\n", "\n", "plt.figure(figsize=(10,4))\n", "S.plot(title=S.name)\n", "plt.ylabel('Adjusted Close')\n", "plt.grid(True)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "6hkuWhQwPiNO", "pycharm": {}, "tags": [] }, "source": [ "# Fitting historical data to geometric Brownian motion\n", "\n", "A model for Geometric Brownian Motion can be written in discrete time as\n", "\n", "$$S_{t + \\Delta t} = S_t + \\mu S_t \\Delta t + \\sigma S_t \\sqrt{\\Delta t} Z_t $$\n", "\n", "where $Z_t$ is a normal random variate with zero mean and a standard deviation of one. This could also be written as \n", "\n", "$$ \\ln S_{t + \\Delta t} = \\ln S_t + \\nu \\Delta t + \\sigma \\sqrt{\\Delta t} Z_t $$\n", "\n", "where $\\nu = \\mu -\\frac{\\sigma^2}{2}$. These are two different models for price. The difference between $\\mu$ and $\\nu$, i.e. $\\frac{\\sigma^2}{2}$, is referred to as 'volatility drag.' \n", "\n", "Rearranging each of these models\n", "\n", "$$\n", "\\begin{align*}\n", "r^{lin} & = \\frac{S_{t+\\Delta t} - S_t}{S_t} = \\mu\\Delta t + \\sigma \\sqrt{\\Delta t}Z_t \\sim \\cal{N}(\\mu\\Delta t, \\sigma^2\\Delta t)\\\\\n", "r^{log} & = \\ln S_{t+\\Delta t} - \\ln S_t = \\nu\\Delta t + \\sigma \\sqrt{\\Delta t}Z_t \\sim \\cal{N}(\\nu\\Delta t,\\sigma^2\\Delta t)\\\\\n", "\\end{align*}\n", "$$\n", "\n", "where $\\cal{N}(\\alpha,\\beta)$ denotes the normal distribution with mean $\\alpha$ and variance $\\beta$ (i.e., standard deviation $\\sqrt{\\beta}$).\n", "\n", "The parameters can be estimated from trading data as\n", "\n", "$$\n", "\\begin{align*}\n", "\\hat{\\mu} & = \\frac{1}{\\Delta t} \\mbox{mean}(\\frac{S_{t+\\Delta t} - S_t}{S_t}) \\\\\n", "\\hat{\\nu} & = \\frac{1}{\\Delta t} \\mbox{mean}(\\ln S_{t+\\Delta t} - \\ln S_t) \\\\\n", "\\hat{\\sigma} & = \\frac{1}{\\sqrt{\\Delta t}} \\mbox{stdev}(\\frac{S_{t+\\Delta t} - S_t}{S_t}) \\approx \\frac{1}{\\sqrt{\\Delta t}} \\mbox{stdev}(\\ln S_{t+\\Delta t} - \\ln S_t)\n", "\\end{align*}\n", "$$\n", "\n", "Note that for trading data time is measured in 'trading days'. On average there are 252 trading days in a year.\n", "\n", "| Period | Trading Days |\n", "| :----: | :----------: |\n", "| Year | 252 |\n", "| Quarter | 63 |\n", "| Month | 21 |\n", "| Weekly | 4.83 |\n", "| Calendar Day | 0.690 |\n", "\n", "Using these data and the above formulae, $\\mu$, $\\nu$, and $\\sigma$ can be rescaled to other units of time. For example, if these are estimated from daily trading data, then on an annualized basis\n", "\n", "\\begin{align*}\n", "\\mu^{annual} & = 252 \\times \\mu^{trading\\ day} \\\\\n", "\\nu^{annual} & = 252 \\times \\nu^{trading\\ day} \\\\\n", "\\sigma^{annual} & = \\sqrt{252} \\times \\sigma^{trading\\ day} \\\\\n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 505 }, "colab_type": "code", "id": "HiintNyJPiNP", "outputId": "bea41f88-45e0-4ac3-dd44-efcbba7a030e", "pycharm": {} }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Linear Returns\n", " mu = 0.00092417 (annualized = 23.29%)\n", "sigma = 0.01511914 (annualized = 24.00%)\n", "\n", "Log Returns\n", " nu = 0.00080934 (annualized = 20.40%)\n", "sigma = 0.01513892 (annualized = 24.03%)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# compute linear and log returns\n", "rlin = (S - S.shift(1))/S.shift(1)\n", "rlog = np.log(S/S.shift(1))\n", "\n", "rlin = rlin.dropna()\n", "rlog = rlog.dropna()\n", "\n", "# plot data\n", "plt.figure(figsize=(10,5))\n", "plt.subplot(2,1,1)\n", "rlin.plot()\n", "plt.title('Linear Returns (daily)')\n", "plt.tight_layout()\n", "\n", "plt.subplot(2,1,2)\n", "rlog.plot()\n", "plt.title('Log Returns (daily)')\n", "plt.tight_layout()\n", "\n", "print('\\nLinear Returns')\n", "mu,sigma = stats.norm.fit(rlin)\n", "print(' mu = {0:12.8f} (annualized = {1:.2f}%)'.format(mu,100*252*mu))\n", "print('sigma = {0:12.8f} (annualized = {1:.2f}%)'.format(sigma,100*np.sqrt(252)*sigma))\n", "\n", "print('\\nLog Returns')\n", "nu,sigma = stats.norm.fit(rlog)\n", "print(' nu = {0:12.8f} (annualized = {1:.2f}%)'.format(nu,100*252*nu))\n", "print('sigma = {0:12.8f} (annualized = {1:.2f}%)'.format(sigma,100*np.sqrt(252)*sigma))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "fWNXgA_mPiNS", "pycharm": {} }, "source": [ "## Binomial model\n", "\n", "The binomial model provides a means of modeling the statistical distribution of future prices. Given a current price $S_t$, there are two possible states for the next observed value $S_{t+\\Delta t}$\n", "\n", "$$S_{t + \\Delta t} = \\begin{cases} u S_t & \\mbox{with probability } p \\\\ d S_t & \\mbox{with probability } 1-p\\end{cases}$$\n", "\n", "where $u$, $d$, and $p$ are chosen to match the statistics of a model based on Geometric Brownian Motion. \n", "The following parameter values are derived in [Luenberger (2013)](https://global.oup.com/ushe/product/investment-science-9780199740086?cc=us&lang=en&),\n", "\n", "$$\n", "\\begin{align*}\n", "p & = \\frac{1}{2} + \\frac{\\nu\\Delta t}{2\\sqrt{\\sigma^2\\Delta t + (\\nu\\Delta t)^2}} \\\\\n", "\\ln u & = \\sqrt{\\sigma^2\\Delta t + (\\nu\\Delta t)^2} \\\\\n", "\\ln d & = - \\sqrt{\\sigma^2\\Delta t + (\\nu\\Delta t)^2} \n", "\\end{align*}\n", "$$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 68 }, "colab_type": "code", "id": "rxpy8Vx5PiNT", "outputId": "cb1fec5b-390d-4ec0-f6a8-004d0014f7b5", "pycharm": {} }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Probability (p) = 0.619\n", " Up Return (u) = 1.074\n", "Down Return (d) = 0.9311\n" ] } ], "source": [ "# Time/period\n", "dt = 21\n", "\n", "p = 0.5 + nu*dt/2/np.sqrt(dt*sigma**2 + (nu*dt)**2)\n", "u = np.exp(np.sqrt(dt*sigma**2 + (nu*dt)**2))\n", "d = np.exp(-np.sqrt(dt*sigma**2 + (nu*dt)**2))\n", "\n", "print('Probability (p) = ', round(p,4))\n", "print(' Up Return (u) = ', round(u,4))\n", "print('Down Return (d) = ', round(d,4))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "XQZ4Zl4aPiNW", "pycharm": {} }, "source": [ "The model extends to multiple time steps in a natural way as shown in this diagram:\n", "\n", "![BinomialModel.png](https://github.com/jckantor/ND-Pyomo-Cookbook/blob/master/notebooks/figures/BinomialModel.png?raw=1)\n", "\n", "Note that each step forward in time introduces an additional state to the set of possible outcomes.\n", "\n", "For the purpose of coding, we will use Python dictionaries to store future prices $S^f$. Future prices are indexed by two subscripts, $k$ and $s$, such that ``Sf[k,s]`` corresponds to the price at time $t + k\\Delta t$ in state $s$.\n", "\n", "We start by setting the initial node equal to the last observed price, $S^f_{0,0} = S_t$. For each $k$ and $s$ there are two subsequent nodes\n", "\n", "$$\n", "\\begin{align*}\n", "S^f_{k + 1, s} & = u S^f_{k,s} \\\\\n", "S^f_{k + 1, s + 1} & = d S^f_{k,s}\n", "\\end{align*}\n", "$$\n", "\n", "These two equations can be combined by eliminating the common term $S^f_{k,s}$ to yield\n", "\n", "$$\n", "\\begin{align*}\n", "S^f_{k + 1, s} & = u S^f_{k,s} \\\\\n", "S^f_{k+1,s+1} & = \\frac{d}{u} S^f_{k+1,s}\n", "\\end{align*}\n", "$$\n", "\n", "These formula can be solved explicit to give\n", "\n", "$$S^f_{k,s} = u^{k-s}d^{s}S^f_{0,0}$$\n", "\n", "which is the formula used below to compute values in the binomial lattice." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 388 }, "colab_type": "code", "id": "Ddg4qtIXPiNX", "outputId": "8e1b18e5-c685-4df3-a92d-c86980b201d0", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 5\n", "\n", "# initialize Sf\n", "Sf = {}\n", "Sf[0,0] = S[-1]\n", "\n", "# compute values\n", "for k in range(1,N+1):\n", " for s in range(0,k+1):\n", " Sf[k,s] = u**(k-s)*d**s*Sf[0,0]\n", " \n", "%matplotlib inline\n", "def Sdisplay(Sf):\n", " plt.figure(figsize=(10,6))\n", " for k,s in Sf.keys():\n", " plt.plot(k,Sf[k,s],'.',ms=30,color='b')\n", " plt.text(k,Sf[k,s],' {0:.2f}'.format(Sf[k,s]),ha='left',va='center')\n", " if (k > 0) & (s < k):\n", " plt.plot([k-1,k],[Sf[k-1,s],Sf[k,s]],'b')\n", " plt.plot([k-1,k],[Sf[k-1,s],Sf[k,s+1]],'b')\n", " plt.xlabel('k')\n", " plt.ylabel('Value')\n", " \n", "Sdisplay(Sf)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "0LRCLLy_PiNa", "pycharm": {} }, "source": [ "The probability of reaching state $s$ at time step $k$ is denoted by $P_{k,s}$. This can be computed given probability of preceding states and the conditional probabilities $p$ and $1-p$.\n", "\n", "$$\n", "\\begin{align*}\n", "P_{k,s} & = p P_{k-1,s} + (1-p) P_{k-1,s-1}\n", "\\end{align*}\n", "$$\n", "\n", "The following cell evaluates price and probability for a binomial model, and also plot the average price." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 403 }, "colab_type": "code", "id": "kEBD-iZUPiNa", "outputId": "a02cb5bc-140d-4461-829a-9d55e67c982a", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "P = {}\n", "P[0,0] = 1\n", "\n", "for k in range(0,N):\n", " P[k+1,0] = p*P[k,0]\n", " P[k+1,k+1] = (1-p)*P[k,k]\n", " for s in range(1,k+1):\n", " P[k+1,s] = p*P[k,s] + (1-p)*P[k,s-1]\n", "\n", "%matplotlib inline\n", "def SPdisplay(Sf,P,D):\n", " plt.figure(figsize=(10,6))\n", " nPeriods = max([k for k,s in Sf.keys()]) + 1\n", " Sfmean = np.zeros(N+1)\n", " Sfvar = np.zeros(N+1)\n", " for k,s in Sf.keys():\n", " Sfmean[k] += Sf[k,s]*P[k,s]\n", " Sfvar[k] += Sf[k,s]**2*P[k,s]\n", " plt.plot(k,Sf[k,s],'.',ms=30,color='b',alpha=np.sqrt(P[k,s]))\n", " if (k > 0) & (s < k):\n", " plt.plot([k-1,k],[Sf[k-1,s],Sf[k,s]],'b',alpha=np.sqrt(P[k-1,s]))\n", " plt.plot([k-1,k],[Sf[k-1,s],Sf[k,s+1]],'b',alpha=np.sqrt(P[k-1,s]))\n", " for k,s in D.keys():\n", " plt.text(k,Sf[k,s],' {0:.2f}'.format(D[k,s]),ha='left',va='center')\n", " plt.plot(range(0,N+1),Sfmean,'r--',lw=3)\n", " Sfstdev = np.sqrt(Sfvar - Sfmean**2)\n", " plt.plot(range(0,N+1),Sfmean + 1.96*Sfstdev,'g--',lw=3)\n", " plt.plot(range(0,N+1),Sfmean - 1.96*Sfstdev,'g--',lw=3)\n", " plt.xlabel('k')\n", " plt.ylabel('Value')\n", " plt.title('Probability Projection with 95% confidence interval')\n", "SPdisplay(Sf,P,P)\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Ujfnq1UnPiNd", "pycharm": {} }, "source": [ "## European call option\n", "\n", "A European Call Option is a contract the provides the holder with the right, but not the obligation, to purchase an asset at a specified price and date in the future. The specified price is generally called the **strike price**, and the specified date is the **expiration date**. \n", "\n", "The purpose of the call option is to reduce the holder's exposure to the risk of increasing prices. An airline, for example, might choose to purchase call options on airplane fuels in order to reduce the risk of selling advance tickets.\n", "\n", "The value of the call option upon expiration depends on the price of underlying asset. If the asset spot price $S$ is greater than the strike price $K$, then the call option is worth the difference $S-K$ because that is amount needed to fulfill the contract in the spot market. \n", "\n", "On the other hand, if the asset price falls below the strike price, then the option contract has no value since the holder could buy the asset on the spot market for less than the strike price.\n", "\n", "$$C_{N,s} = \\max(0, S^f_{N,s})$$\n", "\n", "The next cell demonstrates the terminal value of a European call option where the strike price is equal to the initial price (known as an 'at the money' strike)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 420 }, "colab_type": "code", "id": "AWiGLZFTPiNe", "outputId": "a8b6e57b-8fa5-40b4-8a40-3e9f4afa9a36", "pycharm": {} }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "K = S[-1]\n", "C = {}\n", "for s in range(0,N+1):\n", " C[N,s] = max(0,Sf[N,s] - K)\n", "\n", "SPdisplay(Sf,P,C)\n", "plt.plot([0,N],[K,K],'y--',lw=3)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "byksLlDtPiNh", "pycharm": {} }, "source": [ "To price a call option, consider the construction of a portfolio composed of the underlying asset and cash that would have the same payoff. At node $k,s$, the portfolio is given by \n", "\n", "$$C_{k,s} = x_{k,s}S^f_{k,s} + y_{k,s}$$\n", "\n", "where $x_{k,s}$ is the number of units of the underlying asset, and $y_{k,s}$ is the cash component of the portfolio. The subsequent value of the portfolio at $k+1$ has two possible values\n", "\n", "$$\n", "\\begin{align*}\n", "C_{k+1,s} & = x_{k,s}uS^f_{k,s} + (1+r)y_{k,s} \\\\\n", "C_{k+1,s+1} & = x_{k,s}dS^f_{k,s} + (1+r)y_{k,s}\n", "\\end{align*}\n", "$$\n", "\n", "where $r$ is the per period interest rate for cash. Solving for $x_{k,s}$ and $y_{k,s}$,\n", "\n", "$$\n", "\\begin{align*}\n", "x_{k,s} & = \\frac{C_{k+1,s} - C_{k+1,s+1}}{(u-d)S^f_{k,s}} \\\\\n", "y_{k,s} & = \\frac{uC_{k+1,s+1}-dC_{k+1,s}}{(1+r)(u-d)}\n", "\\end{align*}\n", "$$\n", "\n", "Inserting these solutions into the original expression,\n", "\n", "$$C_{k,s} = \\frac{(\\left[(1+r) - d\\right]C_{k+1,s} + \\left[u - (1+r)\\right]C_{k+1,s+1}}{(1+r)(u-d)}$$\n", "\n", "This can be expressed in a far more suggestive form\n", "\n", "$$C_{k,s} = \\frac{1}{1+r}\\left[\\underbrace{\\frac{(1+r)-d}{u-d}}_{q}C_{k+1,s} + \\underbrace{\\frac{u-(1+r)}{u-d}}_{1-q}C_{k+1,s+1}\\right]$$\n", "\n", "or\n", "\n", "$$C_{k,s} = \\frac{1}{1+r}\\left[q C_{k+1,s} + (1-q)C_{k+1,s+1}\\right]$$\n", "\n", "This expression has two important consequences. The first is an interpretation as a 'risk-neutral' probability such that $C_{k,s}$ is the 'expected value' of the call option. This is not the real-world probability! Instead, it is different measure that provides a very useful means of computing the value of options as illustrated in the following diagram.\n", "\n", "![BinomialModel_Options.png](https://github.com/jckantor/ND-Pyomo-Cookbook/blob/master/notebooks/figures/BinomialModel_Options.png?raw=1)\n", "\n", "The second important consequence is the actual pricing formula. It's linear, for one thing, is easily implemented as a calculation that proceeds backward in time as shown in the diagram above. As can be seen from the derivation, the computation is quite general and can be applied to any option which can be assigned a terminal value." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1209 }, "colab_type": "code", "id": "OeP_-FuuPiNi", "outputId": "dff614ff-1c48-4cef-a4aa-336cafbe28ea", "pycharm": {} }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q = 0.49963641972465866\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'Cash Position')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r = 0.030/12\n", "q = (1+r-d)/(u-d)\n", "print('q = ',q)\n", "\n", "C = {}\n", "x = {}\n", "y = {}\n", "\n", "for s in range(0,N+1):\n", " C[N,s] = max(0,Sf[N,s] - K)\n", "\n", "for k in reversed(range(0,N)):\n", " for s in range(0,k+1):\n", " C[k,s] = (q*C[k+1,s]+(1-q)*C[k+1,s+1])/(1+r)\n", " x[k,s] = (C[k+1,s]-C[k+1,s+1])/(u-d)/Sf[k,s]\n", " y[k,s] = C[k,s] - x[k,s]*Sf[k,s]\n", "\n", "SPdisplay(Sf,P,C)\n", "plt.plot([0,N],[K,K],'y--',lw=3)\n", "plt.title('Price of a Call Option')\n", "\n", "SPdisplay(Sf,P,x)\n", "plt.plot([0,N],[K,K],'y--',lw=3)\n", "plt.title('Hedge Ratio')\n", "\n", "SPdisplay(Sf,P,y)\n", "plt.plot([0,N],[K,K],'y--',lw=3)\n", "plt.title('Cash Position')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "G0R8Br-qPiNm", "pycharm": {} }, "source": [ "## Implementing a replicating portfolio with Pyomo\n", "\n", "A replicating portfolio is the key concept that allows use of the binomial model for pricing options. In a nutshell, the value of an option is the money needed to construct a portfolio exactly replicate the option payoff. \n", "\n", "This concept can be extended to applications involving 'real assets', including processes that convert commodity resources into higher value products. As a first step, let's see how Pyomo can be used to model a replicating portfolio for a European call option.\n", "\n", "We start with an expression for the value of the replicating portfolio at time $k$ in state $s$. For the purpose of later generalization, we use the symbol $W$ to denote wealth,\n", "\n", "$$W_{k,s} = x_{k,s}S^f_{k,s} + y_{k,s}B_k$$\n", "\n", "The portfolio consists of $x_{k,s}$ units of an underlying asset with a price $S^f_{k,s}$ subject to statistical variability, and $y_{k,s}$ units of a 'bond' which has a known future price and therefore depends only on $k$. For example,\n", "\n", "$$B_k = (1 + r_f)^k B_0 $$\n", "\n", "where $r_f$ is a risk-free interest rate. This is the 'cash' component of the portfolio.\n", "\n", "For a European call option we must have enough wealth on-hand to pay off the value of the call option at $k=N$. This requirement can be written as inequalities\n", "\n", "$$W_{N,s} \\geq \\max(0, S^f_{N,s} - K) \\qquad \\forall s\\in{\\cal S}_N $$\n", "\n", "where ${\\cal S}_N$ is the set of possible states at time step $N$. \n", "\n", "At earlier nodes, the value of the portfolio must be sufficient to finance the portfolio as subsequent states. In the binomial model, for each node $(k,s)$ there are two subsequent states $(k+1,s)$ and $(k+1,s+1)$. This results in two constraints:\n", "\n", "$$\n", "\\begin{align*}\n", "x_{k,s}S^f_{k+1,s} + y_{k,s}B_{k+1} & \\geq W_{k+1,s} \\\\\n", "x_{k,s}S^f_{k+1,s+1} + y_{k,s}B_{k+1} & \\geq W_{k+1,s+1}\n", "\\end{align*}\n", "$$\n", "\n", "What we seek is the minimum cost portfolio at the initial node, i.e.,\n", "\n", "$$\\min_{x,y} W_{0,0}$$\n", "\n", "subject to the above constraints.\n", "\n", "If everything works as expected, the results of this calculation should be the same as those computed using risk-neutral probabilities." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": {}, "colab_type": "code", "id": "HcKWL1SYPiNn", "pycharm": {} }, "outputs": [], "source": [ "K = 200" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 420 }, "colab_type": "code", "id": "35rMBNvvPiNq", "outputId": "086fdf7b-5445-4cfc-9047-505947ea7bf7", "pycharm": {} }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Value of a European Call Option')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# set of periods and states for each period\n", "Periods = range(0,N+1)\n", "States = range(0,N+1)\n", "\n", "# future bond prices\n", "B = [(1+r)**k for k in Periods]\n", "\n", "m = ConcreteModel()\n", "\n", "# model variables\n", "m.W = Var(Periods,States,domain=Reals)\n", "m.x = Var(Periods,States,domain=Reals)\n", "m.y = Var(Periods,States,domain=Reals)\n", "\n", "# objective\n", "m.OBJ = Objective(expr = m.W[0,0], sense=minimize)\n", "\n", "# constraint list\n", "m.cons = ConstraintList()\n", "\n", "for k in Periods:\n", " for s in range(0,k+1):\n", " m.cons.add(m.W[k,s] == m.x[k,s]*Sf[k,s] + m.y[k,s]*(1+r)**k)\n", "\n", "for s in States:\n", " m.cons.add(m.W[N,s] >= max(0,Sf[N,s] - K))\n", "\n", "for k in range(0,N):\n", " for s in range(0,k+1):\n", " m.cons.add(m.x[k,s]*Sf[k+1,s] + m.y[k,s]*B[k+1] >= m.W[k+1,s])\n", " m.cons.add(m.x[k,s]*Sf[k+1,s+1] + m.y[k,s]*B[k+1] >= m.W[k+1,s+1])\n", "\n", "SolverFactory('glpk').solve(m)\n", "\n", "W = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " W[k,s] = m.W[k,s]()\n", " \n", "SPdisplay(Sf,P,W)\n", "plt.title('Value of a European Call Option')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "TCkBXR5uPiNt", "pycharm": {} }, "source": [ "## European put option\n", "\n", "A European put option is the right (without obligation) to sell an asset for specified price on a specified date. The analysis is proceeds exactly as for the European call option, except that the value on the terminal date is given by\n", "\n", "$$P_{N,s} = \\max(0, K-S^f_{N,s}) \\qquad \\forall s\\in{\\cal S}_N $$\n", "\n", "The value of the put option can be computed using the same risk neutral probabilities as for the call option, or by modifying the Pyomo model as shown in the following cell." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 420 }, "colab_type": "code", "id": "MZs76Cw-PiNt", "outputId": "fcbc0ad9-0b04-434f-d0ba-d5aea558ea2c", "pycharm": {} }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Value of European Put Option')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# set of periods and states for each period\n", "Periods = range(0,N+1)\n", "States = range(0,N+1)\n", "\n", "# future bond prices\n", "B = [(1+r)**k for k in Periods]\n", "\n", "m = ConcreteModel()\n", "\n", "# model variables\n", "m.W = Var(Periods,States,domain=Reals)\n", "m.x = Var(Periods,States,domain=Reals)\n", "m.y = Var(Periods,States,domain=Reals)\n", "\n", "# objective\n", "m.OBJ = Objective(expr = m.W[0,0], sense=minimize)\n", "\n", "# constraint list\n", "m.cons = ConstraintList()\n", "\n", "for k in Periods:\n", " for s in range(0,k+1):\n", " m.cons.add(m.W[k,s] == m.x[k,s]*Sf[k,s] + m.y[k,s]*(1+r)**k)\n", "\n", "for s in States:\n", " m.cons.add(m.W[N,s] >= max(0,K - Sf[N,s]))\n", "\n", "for k in range(0,N):\n", " for s in range(0,k+1):\n", " m.cons.add(m.x[k,s]*Sf[k+1,s] + m.y[k,s]*B[k+1] >= m.W[k+1,s])\n", " m.cons.add(m.x[k,s]*Sf[k+1,s+1] + m.y[k,s]*B[k+1] >= m.W[k+1,s+1])\n", "\n", "SolverFactory('glpk').solve(m)\n", "\n", "W = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " W[k,s] = m.W[k,s]()\n", " \n", "SPdisplay(Sf,P,W)\n", "plt.title('Value of European Put Option')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "6tU7umqlPiNy", "pycharm": {} }, "source": [ "## Early exercise\n", "\n", "Let's compare the value of the put option to the value of exercising the option. At any node $(k,s)$, the value of exercising the option is $K-S^f_{k,s}$. The next cell compares the value of the European put option to hypothetical value of early exercise." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 806 }, "colab_type": "code", "id": "7e_aSEhoPiN0", "outputId": "28b20c66-2b87-46cb-e31d-e0eadd50500b", "pycharm": {} }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'The hypothetical value of early exercise of European Put Option')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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fgyeaPllKWQ+atzmg91oB4A0Az0gpX2uyu6XfuNZ+d06Cbl7eBn2Os0ElqBou8j0zXRhhGqLAMF0TIcQk0N17mHEMkBAiExR4/VtnjY3pXgghPgFwXkr5984eC2MeQSV97rFR7Fq3gn/jGGvhpAimy2NwFTwCyoTVt7Y/w1hCCBEGYD6A4Z08FIZhmHaFXa5Ml0ZQEcwykDvlP506GKZbI4R4AeQ6fU1KmdHZ42EYhmlP2OXKMAzDMAzTzWELHcMwDMMwTDeHBR3DMAzDMEw3p1snRfj6+sqwsLDOHgbDMAzDMEyr7Nu3r0hK6WeLY3drQRcWFoa9e/d29jAYhmEYhmFaRQjRtDViu8EuV4ZhGIZhmG4OCzqGYRiGYZhuDgs6hmEYhmGYbg4LOoZhGIZhmG4OCzqGYRiGYZhuDgs6hmEYhmGYbk63LlvCMAzDMAxzKZSUAGVlgFYLODgAXl6Aj09nj6rtsKBjGIZhGKZXodcDOTnAwYPAuXOAnR0gJSAEbRswAEhMBEJCaFt3gAUdwzAMwzC9Bq0W2L4dOHaMrHHBwSTkFKQEKiqAn34C4uOByy4jy11Xp5voToZhGIZhmEtDrycxl5YGhIYCffuaijmA/u/bl7anpdH+er3lY4aFhWHIkCFITExEUlJS4/qSkhJMnz4dgwYNwvTp01FaWtrsuUKIECHEFiFEmhDimBDiEaNt1xvW6YUQSc2e3AQWdAzDMAzD9Apycsgy19QqZw4haL9jx+h5LbFlyxYcPHjQpB3pK6+8giuuuAKnT5/GFVdcgVdeecXcU7UAHpdSxgIYC+ABIUScYdtRAPMBbLPmvXUDIyLDMAzDMMylc/AguVlbE3MKQtD+Bw8CAwe27bXWrFmD5ORkAMAdd9yBKVOmNNtHSpkHIM/wuFIIkQZgAIDjUso0GoN1g2ULHcMwDMMwPZp6bT3WH92Bj069iNcLpqNUc8Fku1YL1NSYf66nJyVOlJSY3y6EwIwZMzBy5Eh88MEHjesvXLiAwMBAAEBgYCAKCgpaHKMQIgzAcAB7rHxbJrCFjmEYhmGYHkWdtg57cvdga9ZWJGcmY1fuLtRp6xq3H6vaioneN6CsjMTahQtkiRsxovmxhKBM17Iy8+VMdu7ciaCgIBQUFGD69OmIiYnBpEmT2jReIYQ7gB8APCqlrGjTkw2woGMYhmEYptuzJ3cP1p9ej61ZW7E7dzfqdfUW992VtxX2J25AVRVgbw8EBFCpEktICeh0QE5ODmbPng0AWLhwIRYuXIigoCAAgL+/P+bNm4eUlBRMmjQJ/fv3R15eHgIDA5GXlwd/f3+UlZU1O7YQwhEk5r6SUq662PfPgo5hGIZhmG6FlLJZbNmH+z/Exwc+tvicYLcoeJVNxgDNFASVXg57DyAuDujfv/WyJEKQ8AsJCcHBgwcb11dXV0Ov18PDwwPV1dXYuHEj/vGPfwAA5syZgxUrVmDJkiVYsWIF5s6di9dee63JcYUA8DGANCnlG235DJrCgo5hGIZhmC5NVUMVdmbvxNasrdiatRUB7gH44YYfTPaZEjbFRNAN7jcYEwZMRpTjZPhUTEZD8QDsO0e15QYMADw8rHttKalsiZdX820XLlzAvHnzAABarRa33HILrrzySgDAkiVLcMMNN+Djjz9GaGgoVq5ciddeew1CiCAAH0kprwYwAcCfARwRQhw0HPZpKeV6IcQ8AG8D8APwsxDioJRypqVxCimlde+oC5KUlCSNU4QZhmEYhun+VNRXYEf2DmzNJAG39/xe6KSucXtf574oXlQMezv7xnXnKs7hxW0vYnLYFEQ5TkJ5biCys0mQBQQAgwcDhw5R8kPfvtaPpbycxN/cuZf+voQQ+6SUrdaUuxjYQscwDMMwTKdTWluKl7a/hK1ZW7E/bz/00nI13/L6cqQVpSHBP6FxXV+7AfhL0H9x6ihwuAZwcQESEoDoaFXAOThQBwhPT+tKl0hJyRCXXXaJb64DYEHHMAzDMEyHUlpbChcHF7g6ujauc3V0xTsp71hMZhjafyimDJyCyWGTMWngJPi6+UKvB7KzgZMnKVsVoGLAY8dSp4emfVhDQsjlmpbWenFhKYHcXBKFISGX+o5tDws6hmEYhmFsSnFNMbZlbWssI3L4wmGsvnE15saofkwXBxeMDR6LrVlbISCQGJCIyQMnY3LYZFwWehn6ufVr3Le8HEhNBU6fBurqgD59gOHDgUGDAHd3y+Ows1OtbUov16bWOqWXa1kZibmJE5sLw64ICzqGYRiGYdqVguoCEnCGGLgjBUea7bM1a6uJoAOApyY+hcfHPY6JoRPh7eptsk2nAzIzyRqXn08iLDSUYuMGDLC++4ODAzB5MhARQR0gcnNJsElJx9Dr6XiXXUaWue4g5gAWdAzDMAzDtBOfH/ocy3Yuw/HC4y3uZy/sUVLbvPXCzKjmSZwlJcCpU0B6OtDQQAkKSUlkjXN1bba7VdjZUSuvgQPp+GVlJBjt7QFvb1q6GyzoGIZhGIZpE3mVeThTegYTQyearNfoNGbFnIOdA5KCkhpj4CaETICHs+W6IRoNcPYsWeOKikiAhYWRNS4gwHprnDX4+JjvANHdYEHHMAzDMEyL5FbkYmsmxb9tzdqK0yWn4efmhwtPXDAp8Ds5bDIAwNHOEaMHjMbkgZMxJWwKxoWMg7tTC8FtBgoLScSdPUv9Vb29gTFjgKgowNnZZm+vR8CCjmEYhmEYE7LKsqiIb+ZWJGcl42zp2Wb7FNYUIq0oDXF+cY3rIr0jseWOLRg9YDTcHN2seq36euDMGRJypaUU4xYRQeVG/P3b7S31eFjQMQzDMAwDANDqtYh7Nw6nS063uJ+zvTPGhYxDdUO1yXohBKaETbHqtfLyKDYuM5Pi13x9gQkTSMw5Ol7kG+jFsKBjGIZhmF6ElBJnSs9ga+ZWjAwaicSAxMZtDnYO6OfWr5mgc3VwxfiQ8Y1lREYPGA0XB5c2v3ZtLZUaOXWKSoM4OZElbvDgnhHH1pmwoGMYhmGYHoyUEqdLTjfGvyVnJuN85XkAwOIJi00EHQBMGTgFhy8cxoSQCY0xcKMGjIKTvdNFvj4V/T11iooA6/VA//5AYiIlOjiwEmkX+GNkGIZhmB6ElBInik40iretWVuRX5Vvdt+tWVubrVsycQn+efk/4Wh/aX7Pqiqyxp0+TY9dXKhLg3ErLqb9YEHHMAzDMD2Ij/Z/hHvX3dviPp7OnpgYOhHTwqc129bX5eLVll4P5ORQgkNuLq0bMAAYPdp8Ky6m/WBBxzAMwzDdCL3U42jB0cYWWh/O/tCkdMiE0AnNntPXuS8mDZzUGAOXGJAIB7v2kwAVFeRSPX2a4uTc3MilGh3dcisupv1gQccwDMMwXRidXofDFw43ulC3Z2836bLw1MSnEOkT2fh/rG8sBvcbjBjfmMYYuKH9h8Lezr59x2VoxXXqFGWsCkGtspRWXGyN61hY0DEMwzBMF+NA3gFsydzSKODK6sos7pucmWwi6IQQSHsgzcRq156UlpJL9cwZqiHn4QGMHEmtuNysKz3H2ACbCTohRAiAzwEEANAD+EBK+abR9icAvAbAT0pZZFj3FIC7AegAPCyl3GCr8TEMwzBMV+XutXfjQP4Bi9v93PwwOWwypgycgisirmi2vb3FnEYDZGSQkCssVFtxRUcDgYHt24qLuThsaaHTAnhcSrlfCOEBYJ8QYpOU8rhB7E0HkK3sLISIA3ATgHgAQQB+E0JESyl1NhwjwzAMw3QoGp0G+/L2NWagTg2biicnPGmyz+SBk00EXYB7QKP7dPLAyYjxjbGZBc6YoiK1FZdGA3h5USuuyEjKWmW6DjYTdFLKPAB5hseVQog0AAMAHAfwbwCLAKwxespcAN9IKesBZAgh0gGMBrDLVmNkGIZhGFuj0+twIP8AtmRswebMzdietR3VGrXDQq2mtpmguyb6GhTUFDSKuEE+gzpEwAFqK65Tp4CSEsDenro3DB7Mrbi6Mh0SQyeECAMwHMAeIcQcAOeklIeanJwDAOw2+j/XsK7pse4FcC8AhIaG2mrIDMMwDHPRXKi6gG+PfYvNGZuxNWtrizFwu3N3o05bZ9J5YVrENEyLaF5SxJbk55OIy8ighId+/YDx40nMOV1cTWGmA7G5oBNCuAP4AcCjIDfsMwBmmNvVzDrZbIWUHwD4AACSkpKabWcYhmGYzia3IheP/PqIxe1hXmFUQsRQRsTZ3rkDR6dSV6e24iovpx6qgwaRNa5fv04ZEnOR2FTQCSEcQWLuKynlKiHEEADhABTrXDCA/UKI0SCLXIjR04MBnLfl+BiGYRjmYsityMXmjM3YkrkFmzM2448Ff2CAp+pUSgxIhJeLV6NlLtA9EFdEXIGpYVNxefjlCPMK65yBg1pxnT9PsXHGrbiGDgXCw7kVV3fFllmuAsDHANKklG8AgJTyCAB/o30yASRJKYuEEGsB/E8I8QYoKWIQgBRbjY9hGIZhrKWwurBRvG3O2Nysef2WzC24behtjf/b29njqYlPwd3JHVPDp2Jwv8EdFgNniepq1RpXVQU4OwNxcZSp6uXVqUNj2gFb6vAJAP4M4IgQ4qBh3dNSyvXmdpZSHhNCfAdKmtACeIAzXBmGYZjOYkvGFqw5uQabMzbjSMGRFvfdlrXNRNABwKIJi2w5PKvQ66kFl9KKS0ogKAgYNYpacdm3b61hphOxZZbrDpiPizPeJ6zJ/y8BeMlWY2IYhmEYc0gpm1nQvjv2HZbvW252fxcHF0wMnYipYVMxNXwqRgaN7IhhWk1lJVniTp1SW3ENHUrWOA+Pzh4dYwvYU84wDMP0Ouq19dhzbk+jC9Xb1Rtrblpjss/U8KmNgs7BzgFjg8c2CrixwWPh7NA5iQyW0OmArCyyxhm34oqOBoKDuRVXT4cFHcMwDNPj0eq12J+3v1HA7cjegVptbeP2Po590KBrgJO9Wp/j8vDL8eT4JzE1fComhk6Eu1PX7DJfVkYiLj2dasi5uwMjRpCQ41ZcvQcWdAzDMEyPpLqhGh/u/7CxFlxFfYXlfTXVOHzhMJKCkhrX+br54tXpr3bEUNuMVqu24iooIOvbwIEk4oKCuBVXb4QFHcMwDNPtkVJCL/Wwt1Oj/B3tHfHM5mdQo6kx+5xI70hMDScX6pSwKQhwD7D5OAsKqBeqRkM13/z82tZ9oaiI4uLOnKFj9O0LjB4NREVxK67eDgs6hmEYpluSXZ6NLRlb8HvG79icsRlvXvkmro27tnG7k70TLgu9DBvObAAADPAY0CjgLg+7HAO9BnbIOPV6EmE7d1KMm50dZZsKQdsGDgQmTCDrmrk4t4YG6qV68iRQXEyZqeHhVPy3f/8OeQtMN4AFHcMwDNMtKKguoH6oGZuxOXMz0kvSTbZvzthsIugA4P5R9+NPMX/C1PCpHdoPVUGjAX76CThwgGq9DRxo6g6VkmLgvvyS4t5mzybLHQBcuEBC8OxZSnjw8QHGjQMiI7kVF9McFnQMwzBMl2V/3n6sOLgCmzM342jB0Rb3TTnfvBb9nMFzbDW0VtHrScwdPEhCzpz1TQjA25tcpwcPkjUuLo4SHMrK1FZc0dGAu3sdJk2ahPr6emi1Wlx33XV4/vnnAQBPPvkkfvrpJzg5OSEyMhKffvopvMxUC37zzTfx4YcfQkqJv/zlL3j00UcBADfeeCNOnjwJACgrK4OXlxcOHjxoi4+FsREs6BiGYZgugUangaO9o8m6owVH8VbKW2b3d3VwpVpwBjfqiMARHTFMqzl1iixzlsScgpTUR7WmBvjqK7LCDR0KXHYZEBamWuykdMbmzZvh7u4OjUaDiRMn4qqrrsLYsWMxffp0vPzyy3BwcMDixYvx8ssvY9myZSavc/ToUXz44YdISUmBk5MTrrzySlxzzTUYNGgQvv3228b9Hn/8cfTt29cGnwhjS1jQMQzDMJ1CnbYOu3N3m7TTOv+38yaJDZeHXd742NHOEeNCxuHysMsxNXwqxgwY0+VqwRmzcye5WS2Jufp6SpLIzwfq6ki4hYdT2ZFZs5rvL4SAuzuVTtFoNNBoNI0u5BkzZjTuN3bsWHz//ffNnp+WloaxY8fCzVDLZPLkyVi9ejUWLVI7Wkgp8d1332Hz5s0X+a6ZzoIFHcMwDNMhaPVa7Du/rzGJYWfOTtRp60z2OXThkImlLaRvCF654hWMCByB8SHj0cepT0cP+6IoKKAEiIFN8i4aGoBDhygjtbycrHNeXmSJ69ePXLDZ2fR8c9mvOp0OI0eORHp6Oh544AGMGTOm2T6ffPIJbrzxxmbrExIS8Mwzz6C4uBiurq5Yv349kpKSTPbZvn07+vfvj0GDBl3Cu2c6AxZ0DMMwjE15N+Vd/HrmV2zN3IrKhsoW9z2Qd6CZ63TxxMW2HJ5NKCwky5ySAFFeDuTkAIcPA6dPU6242FggJoZKlxhjZ0fPNyfo7O3tcfDgQZSVlWHevHk4evQoEhISGre/9NJLcHBwwK233trsubGxsVi8eDGmT58Od3d3DBs2DA4OpjLg66+/xs0333zJ75/peFjQMQzDMO2ClBL1unq4OJgWRPvu+HfYlrXN7HMG+QwyqQXn36cNRdm6MBoNuVHT04HcXOqtamdH9eKioqiDQ1kZcOIEWeT8/WlxdiarnUYD5OTkYPbs2QCAhQsXYuHChY3H9/LywpQpU/Drr782CroVK1Zg3bp1+P333y1m89599924++67AQBPP/00goODG7dptVqsWrUK+/bts9GnwtgSFnQMwzDMRZNVltVYRmRzxmbcnHAzXp/xusk+U8OmNgq6YM9gXBF+RWMtuJC+IZ0xbJvR0EAibcMGICWFsle9vSnJIShITXAASLQVFZF7NTOTFi8vKlECACEhISaZpoWFhXB0dISXlxdqa2vx22+/YfFisl7++uuvWLZsGbZu3doYI2eOgoIC+Pv7Izs7G6tWrcKuXbsat/3222+IiYkxEXlM94EFHcMwDGM1+VX5JrXgzpaeNdm+OaN5MP11cdch0CMQU8OnItI7ssNrwdkaKakN15EjJOY0Gir+GxJCteU8PMw/z9ERCAykpbaWhF1BAXDuHLBjB7lpo6LUVl55eXm44447oNPpoNfrccMNN2CWIXviwQcfRH19PaZPnw6AEiOWL1+O8+fP45577sH69esBANdeey2Ki4vh6OiId999F97e3o3j+eabb9jd2o0RUsrOHsNFk5SUJPfu3dvZw2AYhunRZJRm4I1db2Bz5mYcLzze4r4+rj7IeSwHbo49vyt8YSHFxB09Si5VZ2eqITd0KIm5jz8mt6qRZmqV0lISb2PGkEhsaCD3bGQkibu2HIvpeggh9kkpk1rfs+2whY5hGIZppKqhCn0c+5hY0bR6Ld5Jfcfs/m6Obrgs9LJGN2piQKJJ2ZGeRnU1cOwYCbn8fBJfUVHAjBlUANg4x2DCBKor17dvy3XoFPR6EnR//jO19Ro7lhIp0tPpNY8coUzYqCggIgJwdbXd+2S6HyzoGIZhejF12jrsytnV6EJNOZeCwwsPI9YvtnGfKJ8oBHsGI7ciF072ThgXPK4xkWH0gNFwsu/Zfai0WioSfPgwcOYMuVgDA4GZM8ki18dCJZXoaGD4cOoAERrasqjT6yk5YuRIEoYAuW3Dwmipq6MWYOnpwJ49FJ83YACJu4EDaV+md8OCjmEYpheh0Wmw9/zeRgG3M3sn6nX1JvtszthsIuiEEHhjxhvwdvXG+JDxvcKdKqVaZiQtjYoAe3qqXRx8fVs/hp0d9WYFgP37yV3q5WW+l2tpKYm5WbPMCz8XFxKPcXG0/5kzJO6Sk9WCxFFRQP/+psdneg8s6BiGYXoBXx/5Gl8c/gLbs7ejqqGqxX2bNr0HgOvjr7fV0LoUJSXk2jxyRO2lGhsLDBlClrK2iiVHR+BPfwLi4ynRITubBJuUdCy9nqx3s2aRZc4a16yXF4m/ESPI7ZueTvF2p05Rl4moKIq54+5dvQsWdAzDMD2MGk1NMyvaoQuH8Ev6L2b3H9xvcKMLdfLAyfDr42d2v55KbS1w/DhZ486dI6EVHg5MnkyFfx0dWz9GS9jZUUzc4MGUxVpYSJmwjo5UVNhcAWFrEELNkh03jjpTpKdTJ4qDB+nYSrydc9ftkMa0E5zlyjAM082p0dQgOTMZG9I3YMOZDejv3h9b79xqss/GMxsx88uZAIDQvqEmteAGeA7ojGF3KjodiR+lc4NeTwJo6FAgIcFyqZHuQE2N6pItLSVBGRJC4i44mOPtOhPOcmUYhmEakVLiSMGRRgG3PXs7GnQNjdvPlJ5BRX0FPJ09G9dNCJmAD2d/iKnhUxHuFd7jasFZy7lz5E49dowsc336AKNGkZDr37+zR9c+uLmRi3jIEHIhp6eTwMvKIkudEm93sZZBpmvCFjqGYZhugEanwffHv8eGMxuw8cxG5FXlWdzXxcEFv9/+O8aHjO/AEXZdysqoVtzhwyRwHBzI/TlkCLkjrYlb6+7o9cD58yTusrLIQunpqbYic3fv7BH2DthCxzAM08uxE3Z48JcHUVJbYnZ7vF88ZkbOxMyombgs9DK4OvbuImX19ZSdeuQICRiAynuMH09JDr0tpszOjtytwcEUv5eRQeJu/35aAgJI2IWFAU49uwpNj4UFHcMwTBchozQDG86QG/WWhFtMMkvt7ewxPWI6vj32LQDA28Ub0yOnY2bkTMyInIFgT+6/qdeTUDl8GDh5kurH+fgAU6ZQXJyXV2ePsGvg6Eg18qKjgaoqNd5uxw5g1y7Kuh00iFqO9QbrZU+BBR3DMEwnUdVQhS0ZWxrdqKdLTjduc3N0a1Yq5I5hdyDOLw4zI2ciKSipR3dkaAsXLqgtuKqrqYNCYiK5VAf0vnyPNuHuDgwbRkthIQm7s2dJGLu4qC3H+vXr7JEyrcExdAzDMB2EXupxKP9QoxVuZ/ZOaPQas/v6uvniwhMXYCfYRGKOykoScEeOUCkQOzuyKg0dSgKEMzkvHr0eyM0lcZedTf97e6v17dx6fl1pm8ExdAzDMD2ANSfWYP538y1ud3N0w5SwKZgRMQMzo2ZCoHdmolpCowFOnCARl5FBxXkHDACuuoo6KHBv0/bBzo7crqGhFIuoxNulptJi3HLMgVVEl4G/CoZhmHakQdeAXTm7sOnsJvxj8j9M+pxeHn457IU9dFLXuG5o/6GUzBA5ExNDJ8LZoZdF67eClEBmJom4tDQSdV5ewMSJ5FL18ensEfZsnJ2puHJMDFBRQcIuPR3YupXEXFgYibvAQG451tmwoGMYhrlE0kvSsSF9Azae3YjNGZsbW2tNi5iGKWFTGvfzcvHCrOhZcHN0a0xmCPQI7KRRd22KitS4uIoKEhbx8eRSDQlh8dAZeHpSu7Hhw8nNffq0ar1zc1Ndst7enT3S3gkLOoZhmDZSWV+JzRmbG2PhzpaeNbvfhvQNJoIOAH686UfbD7CbUl2ttuDKyyPRFhkJTJtGGZns3usaCEFFmPv3p5Zj2dkk6o4coe+uXz9V3Lm4dPZoew88PRiGYdrA4k2L8cbuN6DVay3uE+YV1miBY1pGqyVLz+HDVD5Dr6eaaDNmkEWuT5/OHiHTEvb21HkiPJw6b5w9S+Juzx4gJYXq3kVFUTweJ6rYFhZ0DMMwZsivykdWWRbGBI8xWR/gHtBMzPVx7IPLwy9vTGYY5DOo17bWspacHBJxx49T4L2HBzBmDLlU/fw6e3TMxeDqSiI8Pp56yCotx3JyqFix0nKsp7RY62qwoGMYhgFQr63Hzpydjf1RD104hEjvSKQ/nG6y38yomcBGIDEgsTGZYXzIeE5msILSUnLLHTlCjx0dKdh+yBC62LMG7jl4e1OP3KQkcp8r4u7kSRLvSn07T8/Wj8VYB9ehYximVyKlxOmS040CbkvmFtRoaprtl/5QOiJ9Ik2eV1BdgP7ubGawhro6NS4uN5fWhYeTiIuJ4TZTvQmNhtqwpadTX1kA8PcnYRce3jvasXEdOoZhmHZCq9fiofUP4dczvyKzLNPifg52DpgQMgHl9eUm64UQLOZaQacja8zhwxQfp9MBvr7A1KnUgoutMr0TR0cSb1FRlACjxNv98QewezfF2UVFUdwdtxxrOyzoGIbpseilHvXaepNG9Q52Dtievd2smIv0jmxscH952OXwcPbowNF2f86fJ3fq0aMUIO/mBowcSXFxAQGdPTqmK9GnD1lphwwBiotVl2xmJlnqIiNp4XhK67GZoBNChAD4HEAAAD2AD6SUbwohXgMwG0ADgDMA7pJSlhme8xSAuwHoADwspdxgq/ExDNMzOV95HhvPbMSGMxuw6cwmPDH+CSyZuMRkn5mRM3Gs8BjcndxxRfgVmBE5AzMjZ5q4VhnrKC8nAXf4MF2Y7e2BwYNJxEVEsKWFaZ1+/WgZNQo4d47E3cmT5Krv21ctgeLu3tkj7drYLIZOCBEIIFBKuV8I4QFgH4A/AQgGsFlKqRVCLAMAKeViIUQcgK8BjAYQBOA3ANFSGpVUbwLH0DEMU6etw47sHY2xcEcKjphsnxI2BVvu2GKy7lTxKeRX5WNc8Dg42jt25HB7BPX1aguuzExaFxpK1pbYWK49xlw6DQ10bp0+DVy4QOsCA0nchYWR+7Y70i1j6KSUeQDyDI8rhRBpAAZIKTca7bYbwHWGx3MBfCOlrAeQIYRIB4m7XbYaI8Mw3ZP8qnx8e/RbbDizAcmZyajV1lrc90zJGWh0GhPhFt0vGtH9ojtiqD0GvZ66Ahw5QmJOq6W2W5MnU1wcdwdg2hMnJyomHR0NVFaSOzY9Hdi+nWLuBg4kcRcUxFZghQ6JoRNChAEYDmBPk00LAHxreDwAJPAUcg3rmh7rXgD3AkBoaGh7D5VhmG5ARmkGHt3wqNltjnaOmBg6sTEWbmj/obATve8XPzeXYtrq6ykmKSiIgs3bSkGB2oKrqoqsb8OGkTXuYo7HMG3FwwNITKSloICEXUYGJVW4uqolUC6mr6+U1OkiN1edK8HBZHHubmV0bC7ohBDuAH4A8KiUssJo/TMAtAC+UlaZeXozf7CU8gMAHwDkcm33ATMM0+no9Dqknk9t7I+6+sbV8O/j37h91IBR8HLxQlldGQCyuClFfaeETYG7U+8MttHrgYMHgV9+oYudnR2tU/5GRABXXUUXxpasGlVValxcQQHtGxVFcXGDBnHFf6bz8PenZcwYKlh85gzF2h09SoJOSaZwc2v5ODodkJoKrFtHcwUgcaeIuIgIYNYsiuvrLue7TQWdEMIRJOa+klKuMlp/B4BZAK6QahBfLoAQo6cHAzhvy/ExDNN1yK3IbYyD++3sbyitK23ctunMJtw69NbG/x3sHPDMZc/Aw8kDMyJnINw7vDOG3KVoaABWrCB3lI8PxRkZWxikpKSFt98Gxo8H7rjDtAacRkOB6EeO0AVOSrLqXXklEBfX+gWSYToSe3s6x8PCqNZhRgZZ7lJTgb176dyNiiLXbNMewA0NwPLlwM6dFCrQ1BonJVBYCLzxBjBxIrBwYfeol2gzP4SgvjcfA0iTUr5htP5KAIsBzJFSGlfxXAvgJiGEsxAiHMAgACm2Gh/DMJ1LraYWG9I34G8b/ob49+IR8u8Q3PPTPVh5fKWJmAOADWeaJ7w/Mf4J3Jd0H4s5kPVtxQqq5RUeTheppu4iIUjohYcDu3bR/jodBZ7/9BPw738DP/4IFBUBEyYAaWkLsGSJP+68M6GZmHv77bcxePBgxMfHY9GiRWbH9OabbyIhIQHx8fH4z3/+07h+5cqViI+Ph52dHTipjWkPXFwoGWf2bODaa8mSXF4ObN0KfP01xd3l5ZFQ0+lIzP3xR+tzJSKC9lu+nJ5niQULFsDf3x8JCQnNtlkzV4QQjwghjgohjgkhHjVaf71hnV4I0WoihS0tdBMA/BnAESHEQcO6pwG8BcAZwCZDr8PdUsqFUspjQojvABwHuWIfaCnDlWGY7s0jvz6CD/d/aHF7oHsgZkZRa61pEdM6cGTdj4MH1QtUawHidnbksvrhB8og9PQk60NcHMXFKdYKO7s78fjjD+L22283ef6WLVuwZs0aHD58GM7OzigoKGj2GkePHsWHH36IlJQUODk54corr8Q111yDQYMGISEhAatWrcJ9993Xjp8AwxB9+1LtwxEjKDtWibc7fZpq39XWAsnJlGzRWoycEGQB3LGDXLxjxpjf784778SDD1o3V1577bUmryESAPwFlATaAOBXIcTPUsrTAI4CmA/gfWveuy2zXHfAfFzc+hae8xKAl2w1JoZhOpaS2hL8dvY3FFQX4MHRD5psmx4x3UTQOds747KBlzX2R03wT+AG91byyy9kUWhJzDU0UDzchQuUNVhbS9a5556ji1vTMhCTJk1CplKTxIj//ve/WLJkCZwNfZr8/f2b7ZOWloaxY8fCzWDamzx5MlavXo1FixYhNjb2Yt8mw1iNEFTMOiAAGDuWEh9Onwa+/JLO//R0ss55eTV3yTY9jrc3WbFHjzYvAi9lrgCIBRm2auj1xFYA8wC8KqVMM6yz6j1zpwiGYdoNrV6LlHMpjbFwqedToZd6eDh54L6R95mUDpkWMQ3xfvGYFjENMyNnYnLYZLg5cqBWW8nNpZi3sLDm2yorKW6ushIoKSGXk7u7WoE/P58sGm2p6XXq1Cls374dzzzzDFxcXPD6669j1KhRJvskJCTgmWeeQXFxMVxdXbF+/XokJdmk9BbDtIqDA7lP7e0pK9bfHygroyzw8+fJSu3pSRmuffo0f763NyVfZGdTTJ61mJsrZjgK4CUhRD8AtQCuBnBRsQgs6BiGuSRKa0vx06mfsPbkWvx29rdmvU8BoLKhErtyd2HSwEmN67xdvXH0/qMdOdQeyfnzZJlTbuL1erLEnTtHbliNRg0ej4oy7aMqBD2/LeVHtFotSktLsXv3bqSmpuKGG27A2bNnTawIsbGxWLx4MaZPnw53d3cMGzYMDi2ZQRimA8jNJXGnZMpWV5OVOi2NBJ6PDzBzZvPnCUFLbm7bBJ25udIUKWWaocnCJgBVAA6Bws7aDM8whmEuCp1eh9lfz8ams5ug1Zv//bETdhgVNAozI2cixDPE7D7MpVFfTwHbiog7f57cqw4O1ILLwYEscBUVwKFDgK8vXcy8vcli19AA5OTkYPbs2QCAhQsXYuHChRZfLzg4GPPnz4cQAqNHj4adnR2Kiorg16Tp5t133427774bAPD0008jmIvWMZ2M8VzJz6fwA52OYkgHDQL697f8XCnp+Zc6V2BGd0kpPwYlkUII8X+gqh9thgUdwzBWodPrYG+nFmSyt7NHva6+mZgb4DGgsajvtIhp8HG9iGqfTKtISTFBmzcDKSnkLrK3p/ZIwcEk2pT6WXo9WSAKC2m5cIGEnlKeYfz4EBw8eNCq1/3Tn/6EzZs3Y8qUKTh16hQaGhrg6+vbbL+CggL4+/sjOzsbq1atwq5d3PSH6Rz0eirJs3kz3dS4utL5HxBA86VfP+sSJJydgZCQS5srMGN9E0L4SykLhBChoCSIcW19jwALOoZhWiCtMA2r0lZh1YlVmBo2Fa/NMM3Qmh8zH5szNmP0gNGYHzMfswfPRqxvLCcz2AgpKWNvzx6qtVVaSi5VT0/q3tC/v/kAbzs7cif5+JAlorSUrBSnT5NbNiMDiIkB4uPVLNebb74ZycnJKCoqQnBwMJ5//nncfffdWLBgARYsWICEhAQ4OTlhxYoVEELg/PnzuOeee7B+PeW9XXvttSguLoajoyPeffddeBt6g61evRoPPfQQCgsLcc011yAxMREbNjQvS8Mwl4Jer9alO3CA4kgbGigJIj6eLNXWtgyTkhZLRua2zJUrrrgCQoggAB9JKa82HOIHQwydBlThoxQAhBDzALwNwA/Az0KIg1JKM05hQqh1fbsfSUlJkusYMUz7IaXE/rz9jSLuRNGJxm0R3hFIfyjdRKyV1ZWhsr4SIX3ZnWorlNZEKSl0cSoqItE2ZAhl3SUmAq+/TkkPbemnqux/ww1Uaf/UKRKH7u5U0ys+HhgwoPu1P2J6L8oNT2oqsG8f1aJzcqK6dElJdE7/8580h9o6V/z96bmXOh+EEPuklDbJEGILHcP0cnR6Hf7I+aNRxGWXZ5vdL6c8BxllGYjwjmhc5+XiBS8Xrw4aae/i3DkScSkp5CK1s6ML0ty5VGPL1VXd96qrqANE377WWR30erLS3XYbxdkNHkxi7vRpEnf799NF0dOT6tPFxVHlfYbpaig3PHv30lJSot7wJCXRX0PVEADUzuvf/yZLnTXiTEqaKwsWdP2bGxZ0DNOLKaopQvx78Siobl4cFgDcHN1w9aCrMT9mPq4edDX6uvTt4BH2LvLzSUjt2UPJDUKQteyqq0jEuVtoUZuYSO28du2ibNaWRJ1eT5l948fT8xQcHVXxVl9PFrvjx0lQ7t5NFg1le0vB4wxja6SkGx5FxBUWUrxoXBzd8CQmUvcIc4waRZ1Q/vijeXs8c6+TmUntv7pD1R0WdAzTS6jR1ECn18HD2aNxna+bL3zdfE0EnZeLF+YMnoP5MfMxI3IGXB1dzR2OaSeKilRLXHY2XWAGDSLrWVKSaZkRS9jZUW9WgC5U3t7NWxoplobSUrWXqyXh5+xMlo0hQ6hP5smTwLFjdOydOymIPD6eLqBm8iEYxibk55OAS02lx3Z2ZF2+6ipg+HDr+g3b21NvVoA6QLQ2V5Rervb25o/XleAYOobpwZTXlWPdqXVYdWIVfjn9C164/AU8Pv5xk32e3fwsPtz/IebFzMP82PmYEjbFpAAw0/6UlqoiLiOD1kVGUkxcUlLb4nuM0eupDdgvv9BxhaCLk/I3IgK48kqyYFgbEG5MTQ1w4gRZ7pTC+P7+quXOhxOamXamsFC1xOXmqjc8o0aRiPPwaP0Y5tDp6Jg//URFg5vOlagocs8mJbWvmLNlDB0LOobpYRRUF2DtybVYlbYKv539DRq9pnHb+JDx2Llgp8n+1Q3VcHFwMSlJwrQ/5eV0AUlJoVg1gIqUjh5NF6f2tnTl5qo16ZycKAauPUvBVVVRQdbjx4GcHFoXGKiKu77snWcukpISVcRlZdG6yEgSVyNGUPxbe6HE4OXmUqgBlSahxRYxcyzoLMCCjmGInPIcrD6xGqvSVmF79nbopd7sfvF+8dh77164OFgIMGHalaoqyrbbs4fcllJS5ujo0bT0lFi0igoSdsePk4gESDzGxVEM4MVaUZjeQ3k5zZW9e8liBtANT1ISLT3F+suCzgIs6BgG2Ht+L0Z9OMri9pGBI3Ft7LWYFzsPMb4xHTiy3klNDWWJpqSQwNHrqYCpIuJ6erZoaSlZ7o4do+xcgC7McXFU685cr0ymd1JZSTXiUlPJaq3UelNEXJPmIz0CFnQWYEHH9CaklDh04RAivSNNEht0eh0C/xWIwppCAICAwMTQiZgfOx/zYuZhoFcbmg8yF0VdHcWupaQAR48CWi25UBURZyv3TVenuJhE7bFjlPwhBGUWxsdTMLsr59v0Oqqraa6kppLVWrnhGTWKRFxAQGeP0LawoLMACzqmp6OXeuzO3U014tJWIaMsA1/O+xK3Dr3VZL/7f74fZ0vPYn7sfMwdPBf93XuIL68L09BAbYRSUoDDh6mOm7e3KuJaK4nQ2ygoUN2yJSWUlBERQZa7wYNNa4UxPQvlhmfvXvr+dTqyvimWuN5UwJoFnQVY0DE9EY1Og61ZW7EqbRVWn1iN/Kp8k+3zY+fjhxt+MFknpeR2Wx2AVgscOUIi7uBBCqL29FQTG6Kies+F6VLIzyer3fHjFDtlb0+fXVwcEB1NNfGY7k19Pc2VvXvpr1ZLcXCKiFNazPU2uFMEw/RwajW12HR2E1alrcLak2tRWldqdj9PZ0/4uDSPDmYxZzt0OhIee/ZQvE9tLRX4HTeOhFx09MWVAOnNBATQcsUVVCD22DGKuzt5kqr8DxpEbtmoKPO9aZmuiUZDIQd795LVuqGBsp0nTyYRFx7eO0VcR8FThWG6AGtPrsVNP9xkdpuvmy/+NPhPmB87H1PDp8LZgX1Ttkavp3prKSmUeVddTUVLR44kERcb2z0KjXYHBgygZfp0Kn9y/DiJu7Q0KrcSHU3iLiKCP/OuiFZL39nevRSCUFdHWc3jxpGIi4riG56OggUdw3QgxTXFWHdqHW4ZcotJ8d6rB10NJ3snNOgaAADBnsGYHzMf82PnY0LoBDjY8VS1NVJSpl1KCl2cKioormv4cBJxCQlsLbIlQpAbLjQUmDGD6o8dP07C+uhRauU0eDC5ZcPDWSR0JsoNz969ZLWuqVFveEaNou+Jv5+Oh3+eGMbGnKs4hx9P/IhVJ1Zha+ZW6KQOwZ7BuCLiisZ9PJw98JcRf4GHkwfmx85HUlASu1E7ACmBs2dJxKWmAmVlZBUaNoxE3JAh9D/TsdjZkWgLD6e2ThkZ5JY9cYKsQG5uVAIlLo5KovBUsT16PZCeTvPkwAEqOeLiQl1HkpLIas03PJ0Lf/wMYwPOlJzB6hOr8UPaD9idu7vZ9lVpq0wEHQC8c/U7HTW8Xo2UZP1RRFxxMV2Ihg4l60JiImdcdiXs7KhLQGQkuffOniVxd+QI1ftzdycxERdHNcxY3LUfyg1Paip91uXl6g1PUhK5wjmBpevAgo5h2onTxafx9dGvsSptFQ5dOGRxv/Eh4zEicEQHjoyRkoLvlf6pBQUkFBISgHnzyK3KNdG6Pg4OFFMXHU0B+OnpJO6U4rSeniTu4uN7fgFnW6Hc8Citt0pL6XMfMoRE3JAhfMPTVWFBxzDtxPrT6/Fc8nPN1tsLe1wefjnmx8zH3Ji5CPLgK01HkZ9PAm7PHiAvj6w3sbHANddQT0juWtB9cXSk7zI2lrIpT50icZeaSt+3t7cq7npKizVbodzw7N1Ln19RESWgxMfTDc+wYeReZbo2XIeOYdqAVq/F9qzt2Jq1Fc9Nfs4kzi27PBsD/0NdGZztnTEzaibmx8zHrOhZ6OfWr7OG3OsoLFQtcTk5JOKioykmbuRIsuIwPZe6Oip/cvw4uQulBPr1I5dsfDx18GCIvDxVxF24QFbrmBg19MDNrbNH2PPgwsIWYEHHdAT12nr8dvY3rEpbhTUn16C4thgAcOz+Y4jzizPZ9+nfn8bwgOG4MupKk/ZcjG0pKaGLUkoKBdADFHOlFPz18urU4TGdRE0NJVIcP05uRCmpQ0F8PAm8ntLwvS0UFKju1HPn1BuepCQKPfDgny2bwoLOAizoGFtR1VCFX9N/xaq0VVh3ah0qGyqb7fPPKf/Es5Of7YTRMQAFaKemqo29AWq3pYi4fmwUZYyoqqLadsePk+UWoOLGirjr27dzx2dLioupnuLevSRsAbrhGTWKQg968nvvanCnCIbpINaeXItPDnyCDWc2oE5bZ3afII8gzIuZh5lRMzt4dExVFV2UUlLIrSYlZTbOn09Czt+/s0fIdFXc3UnAjBpFNQbT0ijm7vffaRkwgMRdbGzPsFKVlaki7uxZWhcWBlx3HVnjvL07c3SMLWBBxzBG/JHzB9acXNNsfaR3JObHUqHf0QNGw05w1cyOorqashj37KGLsF5PlpU5c0jEBQZ29giZ7oanJzBmDC2lpaq427iRltBQstrFxnavxJnKSiovsncvWa2VG54//YmELMcP9mzY5cr0OjJKM7D6xGpklmXiraveMtmWei4Voz8aDQAY4j+kUcQN8R/ChX4tICVw5gzFrtXVUTZceDi5dC72I6utBQ4eJEvc0aPUT9XPjwTc6NFcb4yxDSUlJOyOHaNMTyHIqhUXR8kCl1raRqnrlpmpzpWwMGprdrHns3LDs3cvxQtKSTc5SUkk4jjDt2vBMXQWYEHHWIOUEmlFaViVtgqr0lbhQP4BAICdsEPe43nw7+Nvsu/bKW/jqqirMKjfoM4acrdApwO2bQO++47qgQlB1jM7O7qoREUBN9wATJpkXQ/O+npq6J2SQt0AtFoKWh81ikRcWBiLOKbjKCwkYXf8OAk9pXtFfDy1tmpLLTadDtixA/j+e8tz5brrgIkTrZsrtbU0R1JTaXx6PYUbJCXREhTEc6WrwoLOAizoGEtIKbEvb1+jiDtZfNLsfh/M+gB/GfmXDh5d96e+Hnj5ZWD7dgqo7tvX9AIiJcXwVFSQoFuyxPwFUKOhiv8pKWSRa2igYyki7lKsfAzTXuTnq+KuvJxEV2QkibtBg1puD1dfD7z+Ot389O1LGdfm5kp5Oc2VJ54wP1eUG569e8lqrdVS4o/SPzUkhOdKd4CTIhimDSxNXopPDnyCnIocs9ud7J0wPWI65sfOx5zBczp4dN0fnU4Vc6Gh5i8iQlDQtZcXXcgA4O9/pwuhVksXxpQUchXV1lLA+vjxJOKio7mxN9O1CAig5YorqNTH8eO0nDpFXRQGDSJxFxVl2s9UpyMxt3275Z6zxnNl+3Zat2QJzRWNhsRbaiqJOY2G9ps8mSxx4eEs4hgVFnRMjyOrPKuZmOvj2AdXD7oa82Pn4+pBV8PTmavLXizbtrUs5owRgvbbupX+AhS0XV1NRUuTkkjEvf76AjzxxDr4+/vj6NGjZo9VWlqKBQsW4MyZM3BxccEnn3yChIQEAEBYWBg8PDxgb28PBwcHsOWesRUDBtAybRqVPzl+nJIq0tLIUhcdTeIuIoLcrNu2WRZzxihzJTmZXKZSktW6vp6ybidMoPnyf/+3AA8+yHOFaQ67XJluR42mBhvSN+CHtB/Qx7EP3p/9vsn2n07+hDnfzIG3izfmDJ6D+bHzMT1iOlwduVnnpSIlcP/9VFW+tWK9UpLLtbCQrBqOjsDll1Pdq9Gj6aKnWDO2bdsGd3d33H777RYvUk8++STc3d3x3HPP4cSJE3jggQfw+++/A6CL1N69e+HLaXxMJ6DXU32348cpMaG2lsTdtm20rbUkHr2e3K5FRTRXnJyA6dNpriQlUcyeYrXmudK9YZcrw4Di4j47+BkW/bYIRTVFAAB3J3e8edWbcHFQGw1Oj5yOjbdtxJSwKXC0d+ys4fZIzpyhoO7gYPPbpaTSCUVFJOQ0GroQ+fvTReuhhyhjsCmTJk1CZmZmi699/PhxPPXUUwCAmJgYZGZm4sKFC+jPaXxMJ6MkTISHA1ddRRnfv/1GpUM8PKg0ipcXuVbd3UncSUlxc4WFNF80GrrBCQykufLXv5K1ryk8VxhLsKBjugVphWlY+PNCbMvaZrK+qqEKyZnJuDLqysZ1Lg4umB45vaOH2CvIyKCLUdOg7vx8iodzcSFLnJ0dXbz8/ChT1d4eyM0l64M5QWcNw4YNw6pVqzBx4kSkpKQgKysLubm56N+/P4QQmDFjBoQQuO+++3Dvvfe2zxtmmDZiZ0cJE5mZ5Hbt25eyZEtKSLzV1FD7LU9PssQ5OFByg58fzRk7O3Ll5uSYF3TWwHOld8KCjunS1Gpq8X/b/w/Ldi6DRq9pXB/sGYw7h92J+bHzkRiQ2HkD7GXU1ZH1QK+ndkJ5eeR+raykLg59+pAlIjDQVMwB9Jw68803rGLJkiV45JFHkJiYiCFDhmD48OFwMPhsd+7ciaCgIBQUFGD69OmIiYnBpEmTLv0NM8xFUldHNzseHpS9XV1Ngq60lEIR9HqaH/37m4o5gLbV11/8a/Nc6Z3YTNAJIUIAfA4gAIAewAdSyjeFED4AvgUQBiATwA1SylLDc54CcDcAHYCHpZQbbDU+puuz6cwm/PXnv+JM6ZnGdfbCHn8b9zc8N/k59HHqRiXcewC1tRQflJFBsUIaDYk1f3+yunl700WsuJiWkhKy5Hl5UYV6vZ4seDk5OZg9ezYAYOHChVi4cKFVr+/p6YlPP/0UALnfw8PDER4eDgAICgoCAPj7+2PevHlISUnhixTTadTUUGhCVhYVEtbpVHfq0KGUEFRfT67WkhKy2Nnb0xzy9SUh6OzMc4VpG7a00GkBPC6l3C+E8ACwTwixCcCdAH6XUr4ihFgCYAmAxUKIOAA3AYgHEATgNyFEtJRSZ8MxMl2UVWmrcO1315qsGxc8DstnLcfQ/kM7aVS9j4oKytRLTgZ276aYn7IyytoLCCDLgnEhVDc3sjpERdFzFXF36hRd5DZtAoQIwebNB+Hj07axlJWVwc3NDU5OTvjoo48wadIkeHp6orq6Gnq9Hh4eHqiursbGjRvxj3/8oz0/BoZplfJytc/wkSP0f1UVxdX5+5ta4ACy3Ck3OuXlJO6Ki+lvTQ1lhjs5hWDbtoPwbGNSPs+V3onNBJ2UMg9AnuFxpRAiDcAAAHMBTDHstgJAMoDFhvXfSCnrAWQIIdIBjAawy1ZjZLou1wy6BoP7DcbJ4pPwcvHCsmnLcM+Ie7iHagdQVEQCLjmZmnvr9STc5syh+lcffUSuo5ayXIVQCw6HhwPnz9N6R0fgf/+jJSyMsvhGjgT+9rebkZycjKKiIgQHB+P555/H3XffjeXLlwMg60RaWhpuv/122NvbIy4uDh9//DEA4MKFC5g3bx4AQKvV4pZbbsGVV15pblgM064UFJCAS00FTp4ky1r//pQYMWoU8M47tI+3t+VjKPGm3t50I5SbS+t1OuDLL4GvvqJYvOHDaXnoIZ4rjHk6pGyJECIMwDYACQCypZReRttKpZTeQoh3AOyWUn5pWP8xgF+klN9bOi6XLek56KW+mVhLzkzGh/s/xBsz3kB/d87OsiXZ2aqIO3aM1g0cCEyZQiIuNla1LmzZArz4onV16AC6yGVnA88+S8fLz6dadPv3kzsKIFfUiBG0cIsvpqsiJSUrKCJOSTYNDQXGjKFyPMYdG7ZuBf7v/6yrQ6ccPysLeOYZ4LLL6EbowAFaFKEXHEzCLjGR6uHxXOledOvWX0IIdwBbAbwkpVwlhCizIOjeBbCriaBbL6X8ocnx7gVwLwCEhoaOzMrKsun4GdtS1VCFpclLkVaUhnU3r4PgX6cOQUpygyoiThFWMTFUK27KFBJW5tDpgBdesK64sHIBnDSJLlJN+1SWltLFav9+is/T68lSoVjuuGsE09lISeVHUlNJyOXn0zkfHU0CbtQossqZQ6cDXnnF+rmSnU1CTukUYUxRERUaPnCAygdJSZZzRdxFRLC46w50W0EnhHAEsA7ABinlG4Z1JwFMkVLmCSECASRLKQcbEiIgpXzZsN8GAEullBZdrmyh6978dPInPPjLg8guzwYAfH3t17gp4aZOHlXPRa+nht6KiMvPJ7GUmKha4gICrDtWfT1dqLZto/ILlvpTVlTQcRcvbr2ZeVUVjW//fmp3pNFQza5hw0jcxceTy5ZhbI1OR5bqlBSKiystJYGVkEAiLimp9cLaCu3Vy9WYigqaKwcO0I2QTkfzMDGRBF50tGkLMqbr0C0FnSBTywoAJVLKR43Wvwag2CgpwkdKuUgIEQ/gf6C4uSAAvwMY1FJSBAu67kluRS4e/uVhrD6x2mT9jfE34pvrvumkUfVMGhrogpScTBeU0lKqfTV6NIm4iRNbju9pCZ2OLA/ffksZfUKQaLSzo4tUVBRw441kcWhqbWiN+noSdfv20YWrtpYuckOGkPVu2DDAlRt/MO1IfT2daykpans6Z2cSSaNHk1Dqc5GJ9TodsHMn8P33NFcAda4ANFeuu47ae7V1rtTWUhLGgQMkQuvraW4MHUpjjotrXSAyHUd3FXQTAWwHcARUtgQAngawB8B3AEIBZAO4XkpZYnjOMwAWgDJkH5VS/tLSa7Cg615o9Vq8k/IOnt3yLKoaqhrX93Pth3/N+BduH3Y7u1zbgZoaunhs3Up/a2oo+3TCBBJx48fT/+2FlOQCysigsiUuLuT+aS8XkFZLAef79tFFq7ycLnpxcSTuhg9Hm7MAGQYgq/D+/STiDh2iGyB3d7LAjRpFosjJqf1eT0oKb8jMJOHl7Kx2mGiPuaLRUE/ZAwfo/VRXk1U7Lo7mydChFy9KmfahWwq6joAFXfch9Vwq7lt3Hw7kHzBZvyBxAV6d/ir6ufXrpJH1DEpLyVqWnEyxPg0NZHmbNIlEXFJS+16YOgtFPCpJFQUFdCGMilLj7rhFJdMSpaVqPNyxY2qBXyUeLja27VayroheT7F/Bw5Q7F1pKVkEo6PVuDtr3cZM+8GCzgIs6Lo+eqnHY78+hrdT3oaEeq7F+sZi+azlmDSQC1peLPn5ZIVLTqYfbL2eYuCUpIahQ3t2QoGUlPmniLucHFofEqKKO84CZADqaJKSQovi8gwKUkVcZGTPPk+U7FklqSI/n9YrpYMSEy0ndjDtCws6C7Cg6x7cteYufHbwMwDUZ/XZSc/iifFPwMm+B5iMOhApyVWTnEylQ06epPWRkWpSQ3R0z74wtURhoSru0tPp8/L3V8uh9PSLNqOiCJg9e0jEKSU/IiJIwI0ZQ2K/t5KXp4o7pVBEYKBa68649ArTvrCgswALuu5BUU0RYt6JQVJQEt69+l1E+kR29pC6DXo9xcQomanZlBCMhAQScVOm0I8vY0p5OV2w9u+nNmU6HWUYDh9OlrvBgzkLsKeh19NNjlIjrrCQRElsrGqJY3d8c0pL1bly+jSJ4X79yGqXmEjhDD3Z0t/RsKCzAAu6roVGp8HbKW/jrsS74O1qmjqZVZaF0L6hnPRgBVot3TknJ5NLtbCQYnpGjiQr3OTJVH+KsY7aWrUcypEjahZgYiJZ7hISOAuwu6LRUDa0Ul6kooKSAIYMIRE3ciQnzLSFqirg8GH6/Tl+nH6LPDzUjNnYWL4RulRY0FmABV3XYWf2Tty37j4cKzyGe0fci/dnv9/ZQ+pW1NeTeyg5mZIbKipIZIwbp5YX8fDo7FF2fxoa6EK1bx9ZJaqrKVkkPp4u/sOGcRZgV6e2lgRHair9ra0lgT58OIm4xEQuadMe1NVR0siBA3QjVFenlg4aPpxuhFxcOnuU3Q8WdBZgQdf5lNSWYPGmxfjowEcm61P/koqkIJucsz2GykoqK5KcDOzaRT+YHh4k3qZMAcaO5R9MW6LXU7eM/ftJ4ClZgDExajmUi63Rx7QvFRVkgUtNJXGh0ZDlLSmJ4uG46LRt0WqpgPHBg7RUVpKlLiaG5smwYXzDaS0s6CzAgq7zkFLiy8Nf4vGNj6OwprBxfR/HPvjn5f/Ew2MehoMd2+abUlREBX6Tk+kCpdNRXM/kySTiRoxgl0ZnoCScKOJOyQKMiFCTKqztosG0D0VFajxcWpra6mr0aFq4LVznoNdTLT2lx2xxsVo6SCmH0o+rUFmEBZ0FWNB1DieLTuL+9fdjc8Zmk/VzB8/FW1e9hdC+oZ00sq5Jbq5aXuTIEbowBQeTgLv8cir6yRemrkVeHgm7/fvVBuxBQeSWHTGi9b6cTNuREjh3Ti0vkpFB60NCVBFnbZN7pmNQSgcpSRXnz9P60FBV3AUG8ndmDAs6C7Cg61jqtHV4ZccreHnHy2jQNTSuD/EMwdtXvY25MXM7cXRdBympbIaSmarUvRo8WLXEcSPt7kNxMVki9u+nLEolC1CpdcdZgBePUihaEXF5ebR+0CA1MzUwsHPHyFhPQYFaDuXsWVrn76+WQwkL4989FnQWYEHXsXx37Dvc+P2Njf/bC3s8MuYRPH/583B3cu/EkXU+ej1Z3xRL3Llz9MM1bJhaIy4oqLNHyVwqVVV0wdq3jwLGlSzAxEQSd3Fx7DJvDZ2OXKiKO7WkRG3lpjS+9/Hp7FEyl0pZGWWXHzhAN0J6PXWmUMqhREd3sY4c1dUdkhHFgs4CLOg6Fiklpn4+FcmZyRg9YDTen/U+EgMSO3tYnYZGY9r4vqSELuajR5OAmzSJL0w9mbo6EvH799OFS8kCHDaMrHdDh3JSi0JDA5XDSEkhMVxVRdnFiYlkhRs5krOLezI1NfT9HzxIZWY0GuonrZRDiYtrp9aEej39EBcUUL0nS39rauhkNObUKVKZNoYFnQVY0NkOvdTjQtUFBHqY+jtOFJ3A5ozNuG/kfbC360q3Vx1DbS1lpCYnU4ZqVRWVSBg/nuLhxo/nC1NvRKslq9P+/WSRqKggcR8XR2IlMbH3ZQFWV9NnsWcPCd76epobI0eSiBs2jOv/9UaU0kEHDpDIq6lRSwcNH05lUdzcDDtLSVXCCwqai7JHHwXcjTxDubkUZKnXWzcQ5Q5MIT29Q9rJsKCzAAs623C04CgWrluIsroy7L9vf69v0VVerja+37OHfpC8vIDLLiN36ujRPaPxPdM+6PUUF6YkVRQV0TVi0CA1qaKnZgGWlpLVWml8r9NR6ZdRo2iexMV1MTcb07FISTVPCguB/v2hc3XHqVNqOZS5P94Jr5rz8NMXwLOhEE7lhRAajfljnThBgckKtbVGStAKcnIoO02hrIx+yNtyjIuABZ0FWNC1LzWaGvxz6z/xr13/glavBQC8fMXLWDJxSSePrOMpKKB4uC1b6E5Sr6fm1Uq7rWHD+MLEtI6UdN1QyqGcO0frBw5Uy6EEBXXvQPELF9SkBqV1VECAmpkaFdW93x/TBpKTKT25qZvT+HF9Pe37yy/AlVc2PlVKQOcfAIeiC9a91rZtdFdtjKcn/TD7+VE2hvLX+LHyd/DgTrkTt6Wgszp8VwjRR0pZbYtBMJ3P+tPr8cD6B5BZltm4ztHOERqdhbujTkBKilk6flyNX42LIxN9e1wwsrLUzNTjx2ldWBhw++0k4mJi+MLEtA0hqIRDaCjwpz/R9UwRd6tX0xIQoIq78PD2OcekJHGVnq52UoiKIivhpR5fSuoprIg4pb9wWBhw/fUk4oKDea50W+rqSHyZE2PGjx99FLjlFtPnPvUUsHu3da9TUGDyrxCAQ6A/0ETQ1Tt7oMLJD5Wu/tB4+8El1B/e0f7w6B+AZqdYcXGbK0xLSRo0M5PeuosLncvtNRc7klYFnRBiPICPALgDCBVCDANwn5TyflsPjrE95yvP45FfH8H3x783WX9Z6GVYPms54vziOmlkKlotsHYt8P77NPGkJFeOvT1NuPBw4L77gDlz2pZhKCVZ7RURp9Qbi4sD7r+fRNzAge3/fpjei78/GSWuvJI8PEo5lF9/BdavJ/fk8OEk7gYPbrsVWKcDNm8GvvqK3L4AWZeVsiqRkcCttwJTp7bt2FJSzLiSmXrhAs29wYPphmfUKHpvTBekoYH8/k1j0GJiTCxkAIAFC4BPP7XuuEo9JmOsOQlcXWk/c7V+Xn+dTmLFkubnB2dXV9gVAxkHab6kpwNSA/iuoNjU4cOpDJSdHdok5nQ6ioP+4Qd1rkipirjISODaa4EJE7qPN6ZVl6sQYg+A6wCslVION6w7KqVM6IDxtQi7XC8enV6H91LfwzObn0FlQ2Xjeh9XH7w2/TXcmXgn7ETnF9eqrQUeeIBi2JycyCpnfNckJVnrGhrI+v7uuy33cdTpKEBbaXyfn08/BCNGqOVF+MLEdDTV1XRe7t9PWYANDXSuKxmzCQmte4fq6oDnn6fz2sMD6Nu3+VwpL6cQpsmTgeeeazkLV6ulsaSm0lJeThc2pfF9UhK9BtPBaLVkiWpooKrLxvz4I/D556birazM/HHuvLO5eHvkEeCtt6wbxwMPAO+8Y7ruzTfJ/NySq/MSs8YqK9VyKCdOmJYOGj6cbjJau7GvrwfeeIO8tl5etDSdK2VltEyaBPztb+2XwNPpLlcpZY4wtT3qbDEYpmPQSz2mrJiCHdk7TNbfMewOvDb9Nfj18eucgTVBq6XfjG3bqPyHOfO3EJToJCXt98ADwAcfmE7ohgayLGzZQsKwvJwujmPGAH/5CwlBvjAxnUmfPpQhPX48na9Hj5K4O3gQ+OMPOl+HDCFxN2xY87htnY7E3LZtwIAB5o0fQtCFy9OTRN/zzwMvvmhqfairo9dMTaXXr6mhC9nw4TRfhg/nxvc25fx5Mhu1FINWUkI/eJMn052pMZmZ5Me3hiYuTwAkuBwcmoswcwItLKz58x95pI1vuO0o/a4nTlRLBx08SL/x27fTTcqQIXSuJiQ0F2I6HYm57dstFzoWgqzlXl60HwAsWtT1LXXWCLocg9tVCiGcADwMIM22w2JsiZ2ww7TwaY2CbnC/wVg+azmmhE3p3IE1Ye1amkyWxJwxQtB+27cDP/0EzJhBv4v//e9KbNy4FDU1aRg5MgVXX52EKVOA6Ohi/PnP12H58lTceeedeKfpnaaBQ4cOYeHChaiqqkJYWBi++uoreHp64quvvsJrr73WuN/hw4exf/9+JCYmtt8HwPRKnJzUmDqdjoqyKnF3+/aRWIuNpYzZ4cPpZmTzZhJplsScMXZ2tN/WrfS8sWPpuB9/vBI//bQU5eVpmDMnBVddlYTRo4GgoGLcfPN1ePZZnitWodRCM45DUx4bLw4OwIYNps9NTQVuuMG61yksbL7OnHvBzo4aRjcVaOY+/0WLgKef7jbBYy4u5O4fNYpq2504QZa7Q4foo1RKBw0fTjXv3N3purBtm3VdK4SgsJtt20hAKjkYK1euxNKlS5GWloaUlBQkJZHBrbi4GNdddx1SU1ueK4bQteWgULZMALdKKSuEELcCeNJo16EARkgpD1rzeVjjcvUF8CaAaQAEgI0AHpFSFlvzAraEXa4XT722HmM+GoNrY6/FogmL4OzQtQpCSUnhHbm5pqWGWkKrpd9Oe3sKytZoACenNIwebYctW+7De++9jrFjaeJVV1fjwIEDOHr0KI4ePWpx4o0aNQqvv/46Jk+ejE8++QQZGRl44YUXTPY5cuQI5s6di7NKrxuGsQFSUjul/ftpUeLYwsNJnGm11ocL1NdT9q1eT6FUFGeXhqFD7bB69X14++3XMWYMzxUApKqLi82LsmeeMXUHHDtGysGaWmiuruRrN1YVu3aRmbY1fHzoi9u503R9Tg4lJRiLN2/vrm9aamf0eoq1U9qQlZSQro2KIos3QFULrKW0lD7K//yHvq60tDTY2dnhvvvuw+uvv94o6KyZK0KIfQAkgCeklFuFEAsAhEspn22y3xAAa6SUEdaOs1ULnZSyCMCt1h6Q6VpklWXh8Y2PY9m0ZYj0iWxc7+zgjL337oWDXdfsU3TkCCVAeHm1vF9DA8VUVFSQe0jhxhspAWvIkFjY2VF8nPHvbp8+fTBx4kSkmwvsNeLkyZOYNGkSAGD69OmYOXNms4vU119/jZtvvrkN745h2o4QFKgdGQlcdx155/bvBzZupAKtrq50Q+PtTUtTt2xNDV2YiotJR0hJF77bbwfmzgXCw2MhBBmNjK//PW6uaLWUJFBYSB+m8QfV0EA/HMairbiYPixzLFxoqgx8fKwvbFtbS1+E8R1rSAgwb55ll6efHxUxtBT8HxLSPK6uF2JnR00foqMp8zo7m8Td5s1kuXN3J2OBnx8ZL1srPeflRYkTGRmUgBEbG2t2P2vnCoDBALYZHm8CsAHAs032uRnA160dyBhrslw/BalJE6SUC9ryQkzHotFp8J/d/8HSrUtRo6lBZUMlfr31VxjHQnZVMQdQ2RDjjCMFKemiVVFB25SSRi4uNDk9Pek3Uok1ulQSEhKwdu1azJ07FytXrkROTk6zfb799lusWbPm0l+MYaxECHKbDhhA4is1lWKFSktJ6J07R65brZb0haMjxRsBFK8XGkrao7SUgsgjrLYBWKbLzJXVq+kKbs6iVlBAb1ph1y7yOSs4OgLr1qk/LK1hKJDbiK8v/e3b1yRT00SQGS9Ns1KCg4FVqy7ufTNmUdymAwdS/N3x4zRXiopIoGVk0M1Qnz4k3AYMMH8MIai0VXvMFQBHAcwBsAbA9QDMqfAbAcxty0GtuaKvM3rsAmAegPNteRGmY9mduxv3rbsPhy8cbly38cxG7D2/F6MGjOrEkVlPdTV5OgC6IFVUqFlHDQ203tGR7qx8fMgioVjgKivp+e3BJ598gocffhj//Oc/MWfOHDg1STXcs2cP3NzckJDQ6UnfTC+ltpZEXUAA6YniYhJ1RUU0X6QkfeHjQ0WM/fxUA09xsSr0LpV2mysNDS3HnhlvW7aMLFrGPP00BVNZQ9M4NCFIeDUVo97e5gVZUxeCoyOJQW4d0yWpq6OvJjQUCAyk0yg7G8jLo3lkSdABdB1qr7kCYAGAt4QQ/wCwFkCD8UYhxBgANVLKo205qDUu1x+avNDXAH5ry4swHUNZXRme+u0pvL/vfUgjo+oQ/yF4f9b73UbMATRxqqoo9qGyUq2l1bcv/Y46OVGMXGWlmgTm6kp3YDpd+3VviYmJwcaNGwEAp06dws8//2yy/Ztvvul8FxLTq6mtVW92KipIwNnbk+ctIoI0ik5HhqmsLFo8PEijaDTtV47B4lwxFKr95q23cPPIkcAXX6jCbOJE4JprTA/0pz9RFwFrMGMFhJ9fy4JOyaDy8zOfQfLhhyTMFNHWkovTHCzmuiRSUthBcTFVOlDmiqMjhSN6erZcUcXOruUyP20bizwBYAYACCGiATSZBLgJbXS3Am3oFGHEIAChF/E8xkZIKfHN0W/w2IbHcKFarbLt5uiGpZOX4tGxj8LRvm3VszsanY76pP78M3k8DhuMi87O6o2wh0fz318pVfGniDutFnjvPQognziRMqAuloKCAvj7+0Ov1+PFF1/EwoULG7fp9XqsXLkS27Zta+EIDNO+6HRAWhr1TN27l7Jg8/NVC5y3t+W5UlVFwk4Rd3V1wNdfU4LFiBHUIL1VampUQebiQrUhYDRX3nsPLz73HBYCNJCqKugBrIQhaGjFCvVYjz7aXND5taFskrlMz7lzqW5FU2ua4vb08Wm5UNnMmda/PtOl0WgoOeLoUcpXOXuW5kpAAHm3fXzoFG0t21VKWtqr0LwQwl9KWSCEsAPwd1DGq7LNDuSGndTW41oTQ1cJiqEThr/5ABa39YUY23Cm5Az++vNfsensJpP11wy6Bu9c/Q7CvMI6Z2BWUFZGAdg//0xV8ouLybIwcSLw6qvAmjVkofPwsHwMIcgy5+pKv9fl5XSXNWEC8NtvwKefrkZ29kPQagsxbdo1SExMRHIylQoICwtDRUUFGhoa8OOPP2Ljxo2Ii4vDPffcg4ULFyIpKQlff/013n33XQDA/PnzcddddzW+9rZt2xAcHIyIdgqqYBhLVFRQAsTevZS1V1NDmiQhgbLBv/iC5lNLSURC0Fzy8CCXU0EBGZOGDqVyZh9/vBoHDz6EhvoCXDnpcgz39cWmqZOBwkKE/fYbKrRaNOj1+PHdd7ERQByAe0JDsfCHH0znSnEx5peU4C6j194GIBhAs5liTpAFBlJcmqW4M+P15vxjjz/elo+W6WGUl5N4O3aMDLUNDWSFGzwYmDaNvDfl5XTjYy1lZZQhGx5O/69evRoPPfQQCgsLcc01dF3ZsMG664qBm4UQDxgerwJgXOF5EoBcKWWbU8FbLVvSleGyJcDWzK2YsmJK4/8DPAbgravewryYeRBdrJaQlGRNWLeORNz27WRt6NcPuOoqYNYsujlWLkqrVgGLF9PEs+atSEmWh1dfpbAajYbqEe3cCezYofacDA8n0ThhAl3MellGP9MNkJIsaIoV7tQpWuflRR0akpIo6UdxAW3aRJ0fBgwAHGUDfGtz4FlfCI/6QnjWFcKz3ngpgGd9IfpUF8IlagC8jv0BjYYugPv3A47/W4E//36ndQMdP7556Yx33wUefFD9XylUa24ZMaK5hY5h2oDSW/jYMbLEKV54b2+64UlIoB7Gitd82zbg5Zetq0OnHD8zk0IzlTp0l4ItO0VYFHRCiBEtPVFKud8WA2oLLOiIu9bchc8PfY6HRj+EFy5/AR7OLZi0Opj6eppA69bRopSfGjqUBNw111AFenOiSqsF7r235U4RClKSNW/yZOr5as6jkpOjirsDB9SWMePGkbgbN447RjCdR309letRRFxxMWAndRgyoARjIgoxNLAQQY6FEEWFatmNykrg00+h0wF//zvVo5vmtA3/3DrZqteUQUEQ586Zrvt5PcQsyyJL7+gE4ecH4W8QZB9/bLrDuXN0BTROHOhiN5dM96aujqxvR49S1mplJZ1iEREUNpCQQG5Vc6edTkc3/du3kwu1tetKVhYJufbqFNFZgm5LC8+TUsqpthhQW+htgq6opginik9hfMj4ZuuzyrIwMmhkJ43MlPx8cqGuW0eWg6oqsiRccQWJuKuvJpePNbSll+ukSdRa0JrWRNXV1Cpmxw4SeaWlFHM0ZAiJu4kT1YByhmk36upUMVZYiIozhdgdOA8pR91w+DBZlf1QiJd3ToJHfSEcK0sgWvOi1NUBzs6NvVwzf0nD14firBuPkpVpfKKfOUNWNoMgq/Xwx6lSPxw854eUDD8UNXjC3kEgNlbtaBEYePEfCcNYQ2GhGguXnk7CzNWVOkEkJFD3FGvbxPbUXq7scu0GSCnx6cFP8eSmJ+Fg54ATD5yAt2sbAgBsjF5PrholoUH5SkJCyAI3axZw+eUXn3mq1VI7r/ffJwuflDSZ7e3VYqv33gvMnt16U2ZL409LU613J0/S+oAA1TU7cmT7TWimhyAlBbe5uDQ/OZ5+Wq0dYlxuo6qq2WEeuOIE9IMGN7pS4yLq4OjZhoapubmNsWQ6HbB9dRES7kxCofBDmaMfyhz8UOZEj50H+GH4TH8MvcIP9gEGC5q7u9V3LjodcPq02oosN5fWBwaq4i4m5uLmIcMYo9PRvYXiSlVazwYEkICLj6eb7tZa3bV0/D/+AL7/nl5HCLWagpQUM3fttRRV0J5hOZ0u6IQQCaAY2MakXSnl57YYUFvoDYLueOFxLFy3ENuztzeuu2/kfVg+a3kLz7I9lZWUdLBuHVnj8vNpQowbp4q4IUPa18IlJbmk0tLIwtanj3p31p6vU1SkiruUlEYDCEaPVgVeWxLxmG5Iair5WpoKskIjd2dREZmG16+nIFBjAgNpUlhB4art8P3TRNNz2JAdCoDiDXx9m8efKevmzm2WOSQlCa/0dDp/XVzoAjVoUPvOlcJCtRXZsWNkYXR1pfi+ESOoXSiHMTDWUllJLtRjx+h3vq6OxFR0tCri+vVr39eUkooLK1nfLi7kig0Pt42HplMFnRDiOQBTQIJuPYCrAOyQUl5niwG1hZ4s6Go1tXhx24t47Y/XoNFrGteHeYXh3avfxdWDru7wMZ05o1rhtm6la1nfvpRld8019LenCZ2GBrpY7dhBS14erY+OVl2zcXEXf5fI2JD6+uYizNzjv/4VuOkm0+eOH09dBKzh88+BP/+58V8pAU3cUDidONJsV52dA3TevnDo7wu7/gZh9vTTzduanDxJfqB+/bqNuUuJAVQEXmmpakEfMYKs3K3FLDG9Cykp5FKxwmVl0TpPT1XADR7cs7wjnS3ojgAYBuCAlHKYEKI/gI+klLNtMaC20FMF3Yb0Dbh//f04W6pmLTvYOeDxcY/jH5P/ATfHdqqa2woaDVmqFBGn1OqMiVETGiZMaFvNze6Mku2kiLvDh8lE7+1NlsmJEynBw7g1I9NOKEXUzFnL4uKaZ0ouWAB8+qn5YzXl+eeBf/zDdN3cucData0/180N+Pe/obnrXhw7piY0RO/9H5x1NXAJ8UPIcF9EjfND2Cg/2Pl49QpFowST79tH4u7MGVrn4wMMH04Cb8iQnnWhZqyjoYGytpV4uLIyWj9woJrQEBzcc6eJLQWdNbd+dVJKvRBCK4TwBFAAM+WEmEsnrzIPj214DN8e+9Zk/fiQ8Vh+zXIM6T/E5mMoKqIi7T//DPz6K9XrcXKi7NG//pWum5GRNh9Gl0QIMsOHh5NBpqIC2L1bdc+uX0/ugcREEncTJ1qf/NHrUFoXKHXImja7XrmSKvYbCzdL/TXvvLO5oPP0tH4s5mqhjRtHX3gLrs4Sez/sS3PDvn3AodvVtkJDhwLx827ByJFqa8/ehhBUFiIsjOKQyssps/zAAYpb+v13uhGMj1dj73qadZ9RKSlRrXCnTlFctLMzTfv4eLona8uUZcxjUdAJId4BtZ5IEUJ4AfgQwD4AVQBSOmR0vQidXodJn01Cekl64zovFy+8Ou1V3D3ibtgJ2/j0lLg0pTbcrl20LiCAfohnzaJijC0V9+2teHoCM2bQotPRj5Ui7t58k5bgYFXcJSb2Hmtmo3/enJuzsJB+4fV62nfyZKpsa8z585QibQ3mBJmvL6nrpoLMnEAzVxh6yZJmq6Skt5WaCuz7hh4rLzVlCiU0DBnCnZ/M0bcvfUZTptDF/MQJ1TX7ySe0BAeTW3bECIr14/qQ3Re9nuLSFBGnhKr4+VEJkPh4iunk77h9aalsySOgfmJBAL4BibsyAJ5SysNmn9TB9DSX64qDK3DnmjsBALcNvQ3/mvEv+Pfxb/fXqa0FNm9WRZxSiDEpSU1oGDGC48Iuhfx8tSTK3r3kZnBzI5fsxIkUouXj09mjbIGGBvIvK2LMOBGg6WNXV/rVNmbtWnJbWkNcHP3yG/O//wG33mq6zs3NvEBLTARuv910X42GrhaXeBLX1lJx6r17yX1YVkbWp8GD1QK/oaE91z3UEeTlqeIuLY1ujvr0Idfs8OH09XIYQ9enpoa+P6U2XE0NTb/ISLXAr3/7X866HZ0dQzcQJOxuAmW5fg3gaynlaVsMqC10Z0Gn0Wma9VeVUuKetffg5iE3Y1rEtHZ9vZwcNRbu99/JPdSnD1mXZs2iJD2uJWUbamtJECgCTzEoxceriRXR0TYUBbW1LQuywkJq6GlsPjxyhHyH1uDqSr/exuzaRaq1Jby8SJANHkwnpjHnz5OSMhZvF1v3po3k5ZF427uXLk7GAiMpif6ye8g21NRQbOr+/eSerahQBbSSWDFgAAvoroCU1AP46FFaMjLIMufuTr9t8fEUb21NXdDeRKeXLTEayHAAnwAYKqXsdGNpdxV0a06swSO/PoKv5n+FCaETbPIalprdR0SQgJs1iwomclByx6KUk1DE3bFjtM7XVxV3o0a18CNoHHtmLMiuvdY0n7+2lgJUCgubiy1z5OdT/0zj/9ui8KurTQXX+fPASy+Zd3X6+tLSRfzPOh1ZFBQRpzROCA5WrXAxMewe6mgUF7eSWJGZSeuVjmEjRpBo6CKnUa9Ao6HfL8WVWlJC64OD1YSG0FD27rREZ1voHAFcCbLQXQFgK8hC92Mrz/sEwCwABVLKBMO6RADLQZY+LYD7pZQphm1PAbgbgA7Aw1LKDa0NvrsJupzyHDz0y0NYc3INACDBPwH7793fzFJ3sSjN7teto8QG42b3iogbPJjvbrsMUqI0txoHfyvCtqM+2HrAE9XVdIEaORK4P+NJhGrS4VplJNxKSuhK15Rdu4CxY02ODVdXy4kETTlyhH6NFTQaUjHGAsxYmBn/9fXtdu2dKipIKOzb17zZvSLijPUt0/mUlNB3tX8/na719XRDOmQIibvhw7t4GEM3paVm90ppEaX/NtM6nZLlKoSYDuBmANeAkiC+AXCvlLLaymN/BuAdAMYFiF8F8LyU8hchxNWG/6cIIeJAgjEeFLP3mxAiWkqpa+P76ZJo9Vq8vedtPLvlWVRr1I8vvyofJ4tPIsE/oYVnW8a42f26dWT1UZrdX301xcMZN7tnOpjNm+kLaurmNPrrXV+PywFc/tVX0C67BYcOqWVRnDb9DNe6NOteq6jI9H8hSHDl5tKvryUhpjw2dBpoxNFRjfrvARg3u09NJSuD0uxe6QRi3Oye6Xr4+FD7wCuuoPuNY8fU2Dvlvj4sTE2siIzsVvcYXQal2b1SVsS42f2YMc2b3TNdh5bKljwN4H8AnpBSlrT1wFLKbUKIsKarASjRJ30BnDc8ngvgGyllPYAMIUQ6gNEArKzs2XVJOZeC+9bdh4P5B03W3zP8Hiybvgw+rm27payvp6K+iivVuNn94sUtN7tn2kh1NbkeWxBkjdvuvx949FHT5//rX1TLxBqKiuDgQBejkSOBRx4B6sb4ms0nr3HxhuznC+cBvnAIMAiygIDmO+7aRcFeHh698spmrtk9QNl1N91EnzP36+2eODpSskRiInDXXeQmV1yzq1YBP/xAmbWJiSTuhg3jWK6WaKnZ/Zw5LTe7Z7oOFgWdlPJyG7zeowA2CCFeB2AHQImaHgBgt9F+uYZ1zRBC3AvgXgAI7cJFvsrryvH070/jv3v/CwnVRRbvF4/ls5ZjYuhEq4+Vl0e64OefgY0bSWcoze6ffLJtze57LQ0NLWdrDhkC3Hef6XMWLQLee8+642dlNV9nTREyZ2eykplR4C7PP02/rH5+qHHzxf4cP2w94oPtux1RWkpxKkP6G2LvvIEI2eQHNzjYurH3IAoL1YxUpdm9iwtd2G++mUQcW6x7FkLQqR4cTInVVVXAwYPknt27l26A7e0ppFSJveMEsPZtds90DTq6p8xfATwmpfxBCHEDgI8BTANgTvebDe6TUn4A4AOAYuhsNdBLYUvGFtyy6hbkV6m9HF0dXPGPyf/A38b9DU72LReqUprdK2VFjJvd//nPl97svtuj11Ngh7Ewc3Rs3k/zq6+oA0BREQVNtcTcuc0FXVsqnTZ1eQLA1KmqYGvq4lQeu7lZvu298srGh24AJo4GJl5Lbz8tTa159957tAQEqL1mR47sHQkvej0VKk1NJRGn6OqAAAo3SEqiCxS7h3oP7u5q7Uedjtzr+/fT+fH557QEBqriLiam23RXuyRaanZ/+eUk4sLDOaGhO9OmLNc2H5xcruuMkiLKAXhJKaUQQgAol1J6GhIiIKV82bDfBgBLpZQtuly7alLEqeJTGPLfIWjQNQAAroq6Cu9e/S7CvcMtPqczmt13CZSWTmVlpFiNOX6cqvMqok1Ziovp18mYoUOpzIUxK1ZQFwFrmDCB1JExH36oZmpaEmTK48DATjP9FBWp4i4lhdwnzs7A6NH0tiZM6Fn1nxQLTGoqWWEqK8kCExdHQjYpCQgK6oFzhblkCgvVuLtjx8iC6+pKLlml7l3fvp09yvajM5rdMy3TZcqWtPngzQVdGoC/SimThRBXAHhVSjlSCBEPitcbDUqK+B3AoNaSImwp6KSkEKSUFJoUHh50gVQ6ArXG88nP4/197+PNK9/EdXHXQZh5UkvN7mfNor/dunVQZSW9uaaCrOnS0EC31ZWVps/fvp1qq1hDUJBab0Jh/Xq1JZS9Pf1yWRJkkZH0oXdzGhroYqUkVigV2qOj1bIocXHtexeuJOecPk3VUlxdKWi6vTKqlQbeSixcWhpZ5jw91ZjDxER2DzFtQ4mxVAReaSmdr5GRas27gQPb98ZA6Qedmalm6Sot0tpzrvSmZvfdjW4p6IQQXwOYAsAXwAUAzwE4CeBNkKu3DlS2ZJ9h/2cALACVM3lUSvlLa69hC0Gn0QAffwy8+iqZpDUaWhwdafH3p9Cqu++m/3dk78Cp4lNYMHyByXHqtfWo09ahr0tfk2O31Ox+1iyqxdpl3ENSmiYFtLbs22eqQHNzm1vdWkIxLSmkpZH6MIeHh6kgCwoii5oxlZWkaPz8SCn3Ml+CcvFQat4dOkRCyNubbkwmTqQEmoutwq/TUXeuL7+kGBxlnRIOGBUF3HYbMH1625N0NBq6ICm14S5coPVhYWSBGzWKjt/LvlLGRihZ0EpixZkztM7bW3XNDhly8UJIpyMDwerV6lyRRjGvUVHAvHk0L9s6V1pqdq+IuJ7c7L670S0FXUfQ3oKuqorCsPbvb7kWq5sbMHRMMaIfWIzPj34MFwcXHP3rUUT6NO9a31Kz+1mzOrDZvU5HhZzMCTElFu2ZZ+j2TUFKGqxWa91rpKWROlWorbUu0M/FhUTXvn2mcWtVVRTwoog2ZenXj28xL4KKCmD3bhJ3f/xB/9vbk3VLiTmyNrmmrg549lmyLLu7kwXA+IIhJR2/qorO9RdeaL0kSEmJWhvu0CHTZvdJSejVze6ZjqW8nNz6+/fTuVhbSzfa8fGqwLM2xLa+HvjPf8jh4OXVvGSjlCTCysqoz+mjj7b+89ZSs/uEBLoP5v7bXRMWdBZoT0Gn0VAMe2pqa7VYJTDsC2Dm44CbGgg/L2YeVt24yqTZ/bp1dAFVmt1ffXU7NbvX62n2NxVm48ebCiqA/LapqeRPaO27Xr++eWJBYCBZ6axhxw7y6xlz2210tW8qyoyXXpvd0XnodHQxUGLvlJJzwcFqYsXw4eatxTod9a7furX1WDUpqWnE5MnAK6+YWh9Mmt3vU8fg56fGwnGze6az0WrJm6K4ZpUwhuBgtebdoEHmLWs6HfD66zTHWnPfKlbCiROBJ54wPV5Lze4VKxw3u+8edEph4d7Gxx/TZG1RzPU7Ccz6KxC+xWT17Kg/YY7Tm0hMfBLHjv0ErdYJQCQSEz/FP/7h1djsPjc3G3FxcVi6dCmeeOIJerKU5BosKsKhs2ex8NlnUVVVhbCwMHz11Vfw/OwzpKxahXv37gW0WkitFkv1eswzJ87ee6+5oKuoUPuztIa5TM3Bg6miZ0uCTFmaFqcFyB/HdDns7SkQfNgwKqGXn6+6ZletAr75hnT2mDF0gRk/Xq3Cv2mTdWIOoO1BQbT/b79RSOShQ8Df//4kUlN/AuCEPn0iceONn+LPf/bCyJFkJczJMTNXjDh06BAWLlxoOlc8PZGSkoJ7770XAPVGXrp0KebNm9fOnx7Tm1A6iCQkALffTmJKEXfr1gFr1qi9focPJ4u3EsawaxdZ5qyJkROCRN/27XRDNWIEOT3+/vcnkZLyE4RwQt++kbj33k8xb55XY7P77GyeKwzBFjqQpoqMpDsgszjUARNfBia+Ajg0qOvLQ+D0+zuwOzXHEP61EVdeORVz5jhg377FcHcHll17LZnpiopw7Zdfwk6jwRhnZzzh5qZa1jQaAMCo/v3x+rffYvLkyfjkk0+QkZGBFzIyUPPVV3ACqe88AMNAFZmbqfHnn6cyHcbMmQP89BM9bk2YTZrUQf5fpitTW0txa4r1rrCQ1sfHk7Bbu5ZcqdZmA9bVqfkq0dFktaio2IiZM6di7FgHrF69GE5OwLJlyxqfc+2118LOzg5jxowxe5EaNWoUXn/9ddO58sILqKmpgZOTExwcHJCXl4dhw4bh/PnzcOgNdSmYDqemhuod7t9PGdcVFSTMBg8mcbd+PdUNtaYlmZR0vKwsssgNGULrCgs34qqrpmLoUAd8+eViODjwXOnOsIXOxuzapdbkaYpr+FroZj2Ehn7ZjeuE3g5Tdg/DbcmRCG54B1FeSxHoUQSnKybB/usZAABv77H4/vvv6er30kv4EUAEgJYS8U6WlGCSIatz+vTpmDlzJl6YPh3GDsk6GIr2NU0K8PWlX4CmvP8+mR+9vXtHsSXmknF1pVieyy6jC8rp06q4e/ttco326UOhjP360anV1JVaUaHGBdXV0TopgVtuAWbPBmJiZjQ+p7jYMFcM/Pjjj4iIiECfFtJWT5482XyuvPAC3Izc93V1dWazyxmmvXBzoxbKY8eqIQRKYsWHH5LI69ePLGl+fvTYOJFHp6N4vZISqsZUV0frtVrg1lspPCc0dEbjczIzea4wluErPKg0icFIZorQwfHq+1DbT40hG5MLvP+THsMuHABwgFaWGTbm5Tbu98knn+DGG28EiopQDWAZgE0AXjc3ADc3wNcXCQ0NWLt2LebOnYuVK1ciJyeHKglPnIg9hYVY8MYbyMrLwxeffQaH66+37s1xSXTmEhCCrGrR0dRi6euvgaVLaVthoVovsU8fuhj16UNzSa+n9Z6e1OTey4vCOJV4H2Ma5wqA6upqLFu2DJs2bcLrr5udLQCAhISE5nPFwJ49e7BgwQJkZWXhiy++YIsD0yEIQXFsUVHAjTeSK3bZMlp/7hz1R7W3p5/7qiqy2tXXk6izs6Mbo9BQWn/hAh0nLMz0NXiuMC3BSf+gEDazgk7aw/+EGuTvXg9ceRoIttR0wBCD9tJLL8HBwQG33norMHIknhs2DI9dey3c33oLmD8f+Mtf6BYuO5vs8dXVQFYWPtmyBe+++y5GjhyJyspKODk5UWT49ddjzP3341h6OlL37sXLr72GOuVWjmE6EHt7EmkxMWQQDgwkw++FCyTwzp0jl22fPtQHMiqKEoJcXEjk1daaHs9krgB47rnn8Nhjj8G9lVoqn3zySfO5YmDMmDE4duwYUlNT8fLLL/NcYToFZ2dynAwbRskTgYE0B86coeXECTV0ISaGMlQDA+l5en3zeG6eK0xrsBwHeS8dHameT1PyQ9TAuipn4PnLgf+b4Ij4/eMQtmseNFUxuPkhX9z6CLk9V6xYgXXr1uH3338nE/Zll2GPhwe+37sXi/buRVlZGezs7OAydCgefPBBk9eKiYnBxo0bAQCnTp3Czz//3Gw8sbGx6NOnD44ePYqkJJu44RmmGVJSMPiJExSeUFSkWuH8/MiSUF9PGanV1eRGUrJW3d3JQqcUUlVoNldAFoPvv/8eixYtUueKiwvPFabboJTvPHECyMmhx0rNudBQslDX1NBNTnk5hSUcP05WOk9PstQpc0mB5wpjDSzoQB0gLAm6qq+2A8M/Acb9C/DOBABonDQ4OHYbDo76Azh6M35ftQjfnQ1DcPCv2LBhGXbt2moSn7B9+/bGx0uXLoW7u3uzSQcABQUF8Pf3h16vx4svvoiFCxcCADIyMhASEgIHBwdkZWXh5MmTCGtqi2eYdqaqirLslIKlpaV08dFqyZLg6UlizVypBCV5u7ycltxccsl+9BF1ldBofsWKFcuwYwfPFab7U1VFBYOVRelmqNVSeRMvL5ov5gphU5IQza/SUkrOq6oCVq4kJ05Z2a/473+XYft2nitMy7CgA1Xn9ve3kOWqcQNSHgT2LgTivwMmLAMCDtM2ey0w7AvUDfsCm3KuQe3yo4Beh+Dg6fDwAEaOHIvvvlveYjbgPffcg4ULFyIpKQlff/013n33XQDA/PnzcddddwEAduzYgVdeeQWOjo6ws7PDe++9B1+usMq0M8bNu48doy4TUlLMT1wcWRbi4qjw6fnzLWe5KvFznp7ULKS4mCwS06dT2ZJvvnkQen09YmOnw9UVGD16LL76anmLxYd5rjBdBa2WslHT0ylpSCnV2aePGkcXGUmFBy5caLnNs709WeW8ven/ggJaN3o0Wfn++98HodPVY9iw6XB2BsaMGYsvvljeYkchniu9Ey5bYmD5cuDxx1vuEEFIIGoDCbvw5Ma1fRz7IHluNvYk+2DjRmDzZrrLsrenDKiZM4EZMygkjos/Ml2FggJVwCnNu+3sKP4tPp6SGMLCTC0Lv/5K1XGsqUMHqMWFX3iB5oGUZLE7cICq8R87RtZxBweKI0pMpCU8nNsVMV0DKSnM4PRpEnEZGRR3bW9PteMUERcYaHrO7thBBbWt7dWqtOtbsoTqPyq9WdPSaDl7lm68HB2pmLESe9e/P8+V7gJ3irBA53SKIJydgZhpexB+26tYc3I1Hh37KN6Y+YbJ8TZsK8HOLe74bYMT9u1TewNOm0bibubMtrU6ZZhLpbaW7vqVivNKjTlfX1XAxcS03LyjvTpFKGg0FEN08CAtmZm0vm9fCihXirW2ZOVgmPampoYs1ooVrsKQDOfrS+Jt0CC66Wipk8nFdIq47DIyLpibKw0NNJa0NJrHSo9jLy9V3A0eTJZCpmvCgs4CtujlevXVVEeotV6uI0dS0Uh3d+Bk0Un0demLAPcAk/3uWnMXNp3ZhMfGPoZrw+7Fnu0e2LAB2LhRLbQaE6OKu8mTeSIy7YteTxcJJQ7uzBla5+xM555SRsTfv213+Nb0ci0vpwQJa3u5KpSWquLu4EH1QhoWplrv4uLMtyVjmItFp6MkBiUO7tw5Oo9dXMh9OmgQCbm23li0pZfrpEnAI49Y36q6pISEXVoaxabW1qrJF4rACwtjr1BXggWdBdpb0AFkLfjkE+DVV+nuR6uluyInJ3IJ9e8PLFoELFjQ8gUltyIXEW9GQKOneiheLl64P+l+PDzmYfj36Y/jx0nYbdhAF0WlEfnEiarAGzrUfBAtw7SE0rj72DGyfFVXq22FFCtcRMSl15nW6aid1xdf0AUQILGonLNRUVRGcdq0i7+gSEnuLUXcHT9Or+vkRO9Fsd4FB7PLiWk7JSWqBe7sWRJfQpDnRLHCDRhw6b/DOh0VsF+92vJcmTeP4rkvdq7o9ZREoVjvMjPVm7foaBJ3MTGUlc50HizoLGALQacgJU3A1FTK1vPwoCDVsWOtu3BsztiMW1fdivwq08b2zvbOuCvxLjwx/glE+lCbrbo6Mskr1rvDhpwLf38SdzNmUDB5QEDTV2EYugidOqVa4ZTG3V5eqoCLjaVz2BZISdaB9HSyELi60oUwOrr9RVZdHb1HJf5OsXT366da74YNs917Zbo39fUk3JRYOKXNtbe3KuAiIqy3JrcVJUYuK0st4zNwoPUxdm2htpZ+FxQLXnExrff1Va13gwbRfGU6DhZ0FrCloGsP6rR1+OLQF3j1j1eRXpJuss1O2OG6uOuweMJijAgcYbItL48aoG/cSIsS5zRsmCrwJk603Y8O07WRklxDihXu9GmyJDs6UvyMIuKaBmj3RAoLVevdoUOqNTIyUrXeDR7MLqfeil5PMZyKFS4nh9Y5OZFwU9yoPj49e64oSR2K9e7UKRKUdnYkJhXrXWgoe4VsDQs6C3R1Qaeg0+uw+sRqLNu5DHvPNx/vE+OewGszXjP7XL2eLlSK9W7HDnILu7pSbJKSPRsb27N/kHo7FRWqgDt2TI0rCw5WBVxUVMsB2j0dvZ4u3AcPkgXv1Cla5+pKXS0SE0nksaW7Z1NebloTTokrCwxUBVxoaO8W+TodhTIoAi8nRy1RNHiwKvCUUipM+8GCzgLdRdApSCmRnJmMZTuXYcOZDY3r1960FrMHz7bqGFVVFHOnxN+dPEnrg4NV6920aeSCYrovWi1ZFBQBl51N693dVQEXF8eZny1RXQ0cOaIKvIICWt+/vyruhgxpOaOX6fo0NJAbU3GjKh4NDw9VwEVGcsJZS1RV0bVEcc+Wl9P6/v1VcTdoUO++YWwvWNBZoLsJOmMO5B3Aq3+8irTCNOy/bz/shGrn1uq1+PLwl7gp4Sa4OLTsV83KUl2zv/1GmVJCUL07xXo3dixnBHZ1lHZBSjmRkyfpQmVvTxckJRs1NJQtsReD8vkq7tnDh9Wae4MHqwIvMpJdTl0dKSlhTRFwmZlkcXJwoDIiSk24tmZuM4Rx67K0NPqMlZp7kZFq/N2AAfz5Xgws6CzQnQWdQoOuAU72prc93x79Fjf9cBP8+/jjkTGP4P5R98PLxavVY+l0lMShWO/27KF1Hh5UY0/Jno2MtNGbYdpEdTVlbSpWOCVAOyCAxFt8PP14WlvCgLEerZZEsyLwzpyhC5m7O2WXK/F3XDi/a2CutRZAFiTFCjdwIN+42gKNhuaHIvDOn6f1Hh70+6Qsnp6dO87uAgs6C/QEQdcUKSVGfjASB/IPNK5zd3LHfSPvw2NjH8MAzwFWH6usDNiyhcTdhg1qwdaICNV6d/nlLbdwYtoPnY4y7BQrnNJay9WV3KeKG5VFRMdTUUFWO8U9q4jr4GA1ezY+nhOROgrj1lrp6WrmtpubKuCiojibuTOoqFDF3YkTqrgeMEC13kVEsLi2BAs6C/REQafVa/HWnrfwxq43cK7ynMk2RztH3Db0Njw5/knE+sW26bhS0g+jYr3bskVtTTZunGq9GzmydwcLtzeFhWo5kRMn1ADtyEjVChcezm6+roSSRaxY744eJSuF0ppMsd7ZotREb0XJwlSyUY1ba4WGqiVFekPmdndCaeOnCDxuTdY6LOgs0BMFnUKDrgH/O/I/vLrzVaQVpTXbPnfwXCyesBjjQsZd3PEbgN271ezZpq3JFAsetyZrG8attY4dUwPx+/UjC5w1rbWYroVxa7IDB8hyBFBCyrBhqgWPE1TaRm2tqRtVCcRvS2stpmtRX0/fpdJ7Vvn949ZkKizoLNCTBZ2CXuqx7tQ6LNu5DH/k/GGyzdXBFef+dg7erpeeW15UREkVisBT4iRiY1Xr3aRJvXsimkNpraUIuPT09mmtxXRdWmpNpljvYmPZ5dQUnY6sOYoVrmlrLcWNyqUyeg7cmqw5LOgs0BsEnTE7sndg2c5lWHdqHQDggVEP4J2r32n315GSLBKKuGvamkyx3vXW1mSlpWocnNJaCzBtrRUZeemttZiuj3FrsgMH6MKltCZLSFCzZ3trRmBrrbWioihOsTf+jvQ2jFuTpaWpMcTOzmS1UwReT48hZkFngd4m6BSOFhzF63+8jucmP4dw73CTbUuTl8LH1Qd3D78bfZzax5xWW0sFjZX4uyNHaH3//tSSTKl/179/u7xcl6OhwbS1lmK9VFprxcdTMgMHaDOWWpP5+qqu2aFDe+65orTWUkScklzi5UUuVFu31mK6D0prMkXgKeeKr69a+y46uuedKyzoLNBbBZ0l8qvyEfafMNTr6tHPtR8eHP0gHhz9IHzd2veW5/x509ZkRUW0ftgw1Xo3YUL7T0QpKX0+I4MunC4uFGMTGdm+1g8l0Fexwhm31oqOVq1wQUG90+rCWI/SmuzAAcqiVVqTRUWp1rvo6PZ3OSmJHbm5as/Q4GCyjLXnOavXUwaqUhMuO1ttrRUermak9uvHc4WxjHFrsrQ0Op+U1mTh4arACwmxjTX33DmqvdfQQOduQABZ1W0BCzoLsKAzZWnyUjy/9XmTdW6Obrh7+N14fNzjGOg1sN1fU6+nC5Zivdu5U21NNmWKGn8XE3PxP+g6HbB9O/DttyToAPoBUI4XGQnceCNw2WUXf2G01FprwAA1Do4rpTOXgk5H569ivTt5Ui1bM2SIGn93Ka3JdDpKcPr5Z3otIdS5IiXNlWuuubRs9ooKVcAprbUAusHh1lpMe2DcmiwtjW5MlNZkxrXvLiXeUq8nb9OmTWRVbjpXIiLIAzVkSPuKSBZ0FmBBZ0qNpgafHvgUr+96HZllmSbb7IU9bh5yMxaNX4Qh/YfYbAxVVUBysmq9U1qThYSortkrrrC+NVl9PbBsGcXx9e1LrhtjYSgl1dsrL6fetosXW1eIl1trMZ2NpdZkAQGq9S4hwfqM6IYG4IMP6KbKx8f8XCktpWXiROAvf7HuBkWjMW2tpYyTW2sxHYXSmkypfadkRAcEqNa7tvSybmgA/vc/qvTQ2lwZOxa45Zb2u5lnQWcBFnTm0eq1WHlsJZbtXIZDFw412371oKvx/JTnkRRkk3PKhMxMugPasIGyaMvLaeKMGqVa78aMMZ8RqNMBL70EbNvWessrKUmUTZoEPPNMc+uAcWstpSZcQwPdeQ0axK21mM5FOT8V692RI6atyRTrnaXWZDod8N//Art2tV4fT0nkmDABWLjQ/Fyx1ForLEwtKcKZ20xnoMwVRdwZtyaLilKTKyyFxOj1wOefUyelsLCWrW96PZ3/Y8YAt9/ePpY6FnQWYEHXMlJKbDyzEct2LsOWzC0m276//ntcG3dth45Hq1Vbk23cSHdHer3amkyJv1NakyUnAy+8QNmj1lw4pKQSIs8+S+7e6mrg4YefxcaNa1BfbwdHR39MmvQZwsODUFb2FX7//TW4uNCxDx8+jP379yMxMdHkmCUlJbjxxhuRmZmJsLAwfPfdd/A22PlffvllfPzxx7C3t8dbb72FmTNntuvnxfRejFuTHThALiGlNdmwYarAUyzdKSnAv/9NbiJr58rZs8BjjwGjR5MF5LHHaK5oNHZwcfHH7NmfISoqCDk5X+Gnn16DkxPPFabrobQmUwRe09ZkigVPSUQ6dIhufqwt6K7X0w3QX/9Kcw8Ann32WaxZswZ2dnbw9/fHZ599hqCgIHz11Vd47bXXGp9rbq4IIfYBmAHgWwBhADIB3CClLDVsfwrA3QB0AB6WUm6w9rNgQddLSD2XimU7l2FV2ipE+UQh7YE02Nupt+Z6qYdGp4GzQ8c1Di0rAzZvVluTKQVbIyMpdiEzk6wC/v7WHU9JZrC3J+tDZiZQX1+Bvn09ERcHnDjxFioqjuOzz5abPO/IkSOYO3cuzp492+yYixYtgo+PD5YsWYJXXnkFpaWlWLZsGY4fP46bb74ZKSkpOH/+PKZNm4ZTp07BngOHGBtQUUEXIqX2XdPWZHv2kNjy87PueEoJCYBcSvn5NFe8vT0RFQWkpr6FkpLj+PhjnitM96K83LT2ndKaLDiYhN3OnSTkrA37AWi+9esHPPEE/V9RUQFPQ/Pat956C8ePH8fy5dbNFYOg2wygREr5ihBiCQBvKeViIUQcgK8BjAYQBOA3ANFSSp014+RKWb2EUQNG4fsbvsep4lPIr8o3EXMAsObEGjz4y4N4bOxjuHfkvfB0tn2nZS8vYP58WpTWZErtuxUr1GDr/v0pOWHAAEppN7ZA1NaSMCwtpYms1ZJlLi4OmD0bSEjwbLwTe/nlamg0zc0XX3/9NW6++WazY1yzZg2Sk5MBAHfccQemTJmCZcuWYc2aNbjpppvg7OyM8PBwREVFISUlBePGXVznDoZpCU9PSvq57LLmrclWryax16cPCbqAAJozffuqc0VKoKaG5klJCc0ZnY6E4tChdAM1aJBnY2utM2eqUVXFc4XpfvTtSy7SMWPUm3zFevfTT3Tz4+VFc8XfnxZ395Yt297eZKU7d46uQ4qYA4Dq6moIM09uaa4AmAtgiuHxCgDJABYb1n8jpawHkCGESAeJu13WvHcWdL2M6H7RiO4XbbJOSollO5fhfOV5PLnpSby47UXcP+p+PDLmEfR375jickKodaoefBBYvx547jmKczt3Dti/nxYnJ5qMTk5kQtdq6fkuLiT2vL3pjuyqq6iFGQA888wz+Pzzz9G3b19s2bKl2Wt/++23WLNmjdlxXbhwAYGBgQCAwMBAFBgiws+dO4exY8c27hccHIxzStExhrEhSqX90FBgzhxKGHrtNVp/4QKVRwFojuh0qjVCZ7jHd3Ojnqje3iToLruM+jkDPFeYnoVSxFpJytu1i274HRwouUepqapcT/z9KWbV3HGEIEu2Us7kUuYKgP5SyjwAkFLmCSEUP9QAALuN9ss1rLMKrs/NIK8qD1nlWY3/l9eX4+UdL2PgfwZi4bqFSC9J7/Ax6XQk3JKSgLlzKctoyhSKpysuJpFXVESCzsdHvcApFry6OvVYL730EnJycnDrrbfinXdMO2vs2bMHbm5uSEhIaNP4zIUqmLtLYxhbo9fTXElIIKvEyJFkpVPa0p09SxcijYaEXVgYzSNfXxJ79fXqsXiuMD0db2+Kqxsxgv56epLIO3VKrcpgDinJwKBgi7kCwNzEsDouji10DII8gpD5SCa+OPwFXvvjNZwqPgUAqNfV4/197+PD/R/i2thrsXjCYowMGtkhY1KSFYz/j4igZfRooLKSJpdSskSJKXJ1JTGYlUXWByPLOG655RZcc801eP55tVbfN99805JZHP3790deXh4CAwORl5cHf0NAX3BwMHJychr3y83NRVBQULu8d4axBo2GLHJnz5JbSSnlIARl+EVHUykfrZbmSmkpzZfiYtqvTx9an5dHoQuuruqxea4wPYmGBjVzOzNTvV7Y2ZEhID6e3K4thXUKYb50ycXMFQAXhBCBButcIABDMSDkAggx2i8YwHkr3iIAFnSMAWcHZ9wz4h7clXgX1pxcg2U7lyHlXAoASphYeXwlVh5fiWsGXYOfbv7J5nfY4YaOZsYFhBvH6qzWmgsKon2qq+mCVlZG1rvkZHLRuricxsSJgxATA2zevBYxMTGNx9Hr9Vi5ciW2bdtmcRxz5szBihUrsGTJEqxYsQJz585tXH/LLbfgb3/7G86fP4/Tp09j9OjR7fgJMIwpOh25ic6fJxFWVETnvlIKqH9/uii5uZnP3gsOpv0rK9W407w84I8/qCexvf1pjB07CBERwM8/81xhui8aDc2V/Hw6xxUBV15Ooi0wkGLt3NyszwqXUi36ffr0aQwaNAgAsHZt2+cKgLUA7gDwiuHvGqP1/xNCvAFKihgEIMXa982CjjHB3s4e82PnY17MPGzN2oplO5fh1/RfG7cHeQR1iLskMpKWCxdarwYuBF3IlIvZiBHA44+T+XzJkiX4+uuTAOzg7j4QN9ywHN99R9lO+fnbEBwcjIiICJPj3XPPPVi4cCGSkpKwZMkS3HDDDfj4448RGhqKlStXAgDi4+Nxww03IC4uDg4ODnj33Xc5a49pV/R6ah2Wl0dLQQGtU7JZhwyhGxo/P7pQFRXRHGgJIchq7elJ+yYmAnffTQHfTzyxBO+9dxJC2KFv34FYsGA5Nm0iq3hGBs8Vpuui3Ozk59Oi3OzY2dH8GDaMRFy/fhRiUFLStkLYpaU0D5T4uSVLluDkyZOws7PDwIEDTTJct21rea4YeAXAd0KIuwFkA7geAKSUx4QQ3wE4DkAL4AFrM1wBG5YtEUJ8AmAWgAIpZYLR+ocAPAga7M9SykWG9W2uvcJlSzqGQ/mH8Oofr2LlsZU4ev/RZkkVO7J3YGTgSLg6ulo4wsVxqXXoFLRackudOEHLmTO0zs6O4okuptI4w7Q3ej25QxUBd+GCmsjQrx9dkAIDyRLXtBD3pdahU9BoqJxJRobqytXryaoREqKGPYSEcGsvpvPQ60m05eWRgCssVG92fH3JkhYQQGLOoYnZqj3q0F0K3bKwsBBiEoAqAJ8rgk4IcTmAZwBcI6WsF0L4SykLLrb2Cgu6jqWwuhB+fUwLXRXVFCH036HwcPbAw6Mfxv2j7oe36yU02DOiPTtFGNPQYFqIMiODJq2DA1kFlT6BERHNfwwYpr2QkiwFiltISVwAyCqtCLiAgNZvNJROEX/8QReq1uZKZiYwfrz5ThHG1NeriRVnz9I4pSRBOXAgvVZkJFkKbdE0nWEAOueKi9W5UlioVjjw8VHnib+/+a5DxrS1U0RWFt309PpOEUKIMADrjATddwA+kFL+1mS/pwBASvmy4f8NAJZKKVusvcKCrvNZmrwUz29Vg0Hdndxx74h78di4xxDsGXzJx7dVL1dj6uooWFYReNnZdFwnJ7LaKRa81iY/w7RGWZlqgaNivrTe01MVcIGBlATUVhoagA8/BHbsIEHo7d0+vVyNqa0lMagIvAsXaL2zM80PxYIXEMBtwZiLRzlXFRfqhQvqzY6XF51firX6Yrwqxr1cW5sr3MtVOXhzQXcQFPx3JYA6AE9IKVOFEO8A2C2l/NKw38cAfpFSfm/mmPcCuBcAQkNDR2Yp7QWYTuGTA59gafJS5FTkmKx3tHPErUNvxaLxixDrF3tJr6HTAdu3A999R8WHAbpzUsTVoEHA9ddTPa32cAPV1FD8nVJtXCmZ5eJCmYOKwAsJ4YsW0zIVFaYCTimW7e5uKuDc3Nrn9XQ6YN8+4OefyQothJpYJCVZ0665hkqbtMdcqa5W3bNnz5IbDKCM2fBwVeD5+fFcYVqmvFydJxcumN7sKC7UgICLu9kxh15Pdeg2baJzuOlciYigWqZDhrTvjXxPEnRHQS0vHgEwCtTLLALAOwB2NRF066WUP7R0fLbQdQ00Og2+OfoNlu1chmOFx5ptnzN4DhZPWIzxIeMv6XWkpItUZiZZ1Vxc1IuGLS8WFRWmAk+xSvTpQ0UoFYGnVNlnei/V1aqAy8uj/wG1mK/iGlL6StoKpZvEuXN0YXR2poBuW9+EVFSQsFNEXmkprXd3NxV4Pj48V3o7lZWqgMvPV2uH9umjzpOAgPa72WmJc+doDA0NZIkLDKQwAlvQkwTdrwBekVImG/4/A2AsgHsAdrl2d/RSj/Wn12PZzmXYkb2j2fZfbv0FV0Zd2Qkja19KS9UEi7Q0ta6Xp6cafxcby1aJ3kBtramAq6yk9S4uqltIKZHQGyktVa13Z8+qn4+nJ1kLFZHn5dWpw2Q6gOpqVbzl56s3O66upgKutUzt7k5PEnQLAQRJKf8hhIgG8DuAUABxAP4HNSnidwCDOCmi+/JHzh9YtnMZ1p5cCwAI9wrHqYdOwcGu52UZFBWp4i4tTS3wqlQkVwSej0/njpO5dOrrTV2oZWW03snJVMA1jfVk1MB2Y4FXU0PbfHxI2CkCz9YWTMb21NaaCjhFzDs7q+ItMNC0+HtvoFsKOiHE16Dms74ALgB4DsAXAD4BkAigARRDt9mw/zMAFoDKmTwqpfyltddgQdf1OV54HK/98RrGBY/DvSPvNdm2OWMzjlw4gntG3IM+Tm0oCtSFkZJcskqCxYkT1FsWoAwsxYIXE9N7rTbdCaXCvCLilAKlDg4UkK0IuH79WMC1FSmpdpgi7jIyVLebn5/qng0P7xi3G3Np1NebCjjlxtbJieaKIuJ6+81OtxR0HQELuu7NpE8nYXv2dvi4+uDBUQ/ioTEPwdfNt7OH1a5ISfEZigXv5Ek1MD4wULXeDR7c810N3QGt1lTAFRfTd2hvT4JcEXBKH1Sm/dDrSQicOUPiLjNT7Z0ZEKAKvLCw9guMZy6ehgbTbgxKvKRys6MIOI6XNIUFnQVY0HVfdufuxriPx5msc3Vwxd3D78bj4x9HmFdY5wzMxuj1VBZFEXinT6vZXCEhqos2Otq0tyZjG3Q6024MSoFSpcK8IuD8/LiQbkej09HNkGLBy84mwa30qlVi8AYO5ILgHYFWa9qNwfhmx89PdaH268c3Oy3Bgs4CLOi6L7WaWnx68FO8/sfryCjLMNlmL+xxY8KNWDR+EYYFtENp7i7M/7d37/FRlee+wH/vZHK/TO6TkIshJCDhItDgjVpvqEBR20orKNJNi249cs6Go6X1eKyes49aLK3drXXXemnrRgUvVahtFQq2XrmbAhLuYBJyD7nPJJnJvOePNytrrcxMMoQkkyG/7+czHzJr1kxWMlmsZ573fZ63u1tlI7Th2WPH9ItWXp4+PFtYeO799cibscO8tpxWd7f6ffddjYFNpUcXt1tV7moBXnm5vopFdrZ5FQu+d+dP+7BjXE7LuPSccTUGftgJHAM6PxjQhT63x403D72JtZ+sRUl1idfj8wrm4UdzfoSr864e+YMLApdLXay0OXgnTugXrfx8fYg2P3/gjuikT8Q3LqfVt8P8+TQopeDp6lJZOy3AO3NGvd9Wq1pZRgvwsrIYcARCW3rOuBqD8cOOFsClpzNgPh8M6PxgQHfhkFJi68mtWPvJWmw/td302LJLluEP3/hDkI4suDo7VTNlLcA7fVpfeqmgQM/gjR/PixagrxxirETV5mElJprbI3Ae1oWlo0Mt06TNwauqUtsjItSwrBbgZWZySBAwLz2nNfPVPuxoS89pARw/7AwdBnR+MKC7MO0+sxtPffoU3jr0FiQkDt53EFPSp5j2kVJCjMGZtk4ncPSoPgevvGeBjshINSyrzcHLzR07Fy2tw7wWwGmVkvHx5ma+rJQcWxwO9QHoxAmVwaurU9ujotR0Bm0Ont0+Nibtax92jAGc9mHHZjOvxsDpHcOHAZ0fDOgubMcajuH9E+9j5aUrTdsbnY2Y+dxMTEiegMmpkzE5dTKK0oowOW0y7LH2MRXotbWZV7HQshLR0eZVLLKyhveiVVurLpgul8oepqWpT/bDwdhhvqpK72WmdZjXbrEXRiccGiKtreZlyrQWNDExKrCbMEFl8Ia7BU1dnZqPpp0rqanqfBkOLS36eWJcOzg+3hzAsQBr5DCg84MB3dj0xEdP4OHtD/t8LDEqUQV3PYHe5dmXY07unBE+wuBpbtYLLA4fVoEWoFqiGFexGIqshMejijg+/ljNZbJY9LUQPR6VJfzqV1Xm8HyyhQ6HeTUGra9fVJQ5gBtrDUrp/DQ16QHeiRMq+AFUsKMNz+bnq+HH8+XxqKkTn36qsup91w3NyQGuvFJNozifc6WtzdwLTvuwoy09pwVw/LATPAzo/GBAN/ZIKVH8fDH2Ve0LaP87p92J9d9ab9r20Zcfod5Rj8lpkzEhaQLCwy7c6oKzZ82rWGi9omw28yoWqefY/s/lAt59F9i3T13w+jYL1YZ3GhuBWbOAhQsDL+Lo6DAHcNqFVltj0bgaA9FQ0OaTGTN42geHxERzgHeuHxzcbuDPfwZKStS5YrN5nyvNzer7z5wJfP3rgRcdOBzmAM74Yce4GgNX3hg9hjOgY60KhRQhBHat2IVTTadwqO4QSutKUVpfqr6uL0VbV5tp/8mpk71e45ndz+D1L14HAIRbwlGYUug1dDspZRKiw0N/HCI5WX3yv/JKdeGoq9MLLA4dAnbsUPulpppXsegvK+HxqGCupETNRfKVURBCv3iVlKhtt97qe9+uLn1YyNigNDxcXZAuvpgNSml4aZWcKSlAcbF+rmjBXWmp+vACqHNFW6IsP7//bJfHo4K5f/5TnSu+/n6FUEGjzab2A4Cbb/Z9rnR0mAM444edjAygqGhsrx081jFDRxcMKSXOtJ4xBXp3TLsDX7voa6b9pv/ndByoPdDvawkIjE8aj1/c9AvcPOnm4TzsoJFSBVBaBu/wYX2Ixm43r2JhzEocOQKsX+8/mOvL41GT05cuVa/lcumrMTz77Dr8/vc/wH/8Rx0SE1ORkuLCc8+twPHj+yClG8uWLcNDDz3k9Zo/+MEP8Kc//QkRERGYMGECfve73yHRkLIrKytDUVERHnvsMTz44IPn9XsiklIFUFqAd/q0Ph/Nbtfn4OXlmeejHT0KvPaa/2DO1/c5dQq44w7VXFxbeq66Wj9XnnmmDsnJ6lz59a9X4NgxniuhhEOufjCgo8H44dYfoqSmBKV1pShvKe9337/d9Tdcn3+9advlL1yO2IhYPaOXOvmCKMiQUs3v0QK8o0f1itGsLH2IdscOVW0b6Nwij0dvAnvZZSrzISXQ2FiOV15ZgcrKw9i2bS8mTUrFxo2vYvPmzdiwYQMcDgeKiorw97//HXl5eabX3LJlC6677jpYrVb88Ic/BACsXbu29/HbbrsNFosFl112GS9SNOQ8HqCyUg/wvvxSfVARQmXItOzdhx+qD0mBTg9wu4GKCnV+FBervnAA0NRUjpdfVufKBx/sxcSJqXjtNZ4roYhDrkRDaO0N+n9mrZ2tOFx/2DRsW1pXihONJ+CRHkxOMw/ZtnW1YeeZnQDg1S8vKSoJk9MmmwK968Zfh0hraPQAEEIVMuTmAjfeqGfWtADvww+BP/1J3c/NNbcEMc6P83hURWFzs5pH19qqNy2dOBGYNk0t3bRy5Wq89NJTuPXWW5GervroCSHQ3t4Ot9sNp9OJiIgIJPiYtHTjjTf2fn355ZfjzTff7L3/zjvvID8/H7Gc+U3DxGJRq1NkZwNf+5oeiGlz8D77DHj/feDzz1V2Lj1d3ZKTzfPjPB41bKqdK21tejPsiy8GLrlEnWP33bcaL76ozhWtCpfnCvXFgI7GtPjIeMzOmo3ZWbNN2zvcHTjWcAyZcZmm7YfrD/t9rcaORnxa/ik+Lf+0d1vLj1pMAV1zRzO2ndqGorSiUV+QYbHomYYFC9RF6/331XCr262CvIMH1X42m8rm9W1CGhengjebTV20Zs1S83w2b96M7OwsXHKJeWm3RYsWYdOmTcjMzITD4cDTTz+N5OTkfo/zpZdewu233w4AaG9vx9q1a7F161asW7duyH8nRL5YrSpwy8sDrr1WZeu2b1fzQYXQWwsJoXq8NTer88Jq1YIzda5kZ6tzpbERmD5dZcV5rlCgGNAR+RBljcI0+zSv7TMzZuLYfz+G0jo9o+evICM7IRvxkebysr1Ve3Hb67cBAKwWKwqTC03DtkVpRaO2IMNqVUOvkyapzvvaYt1VVaolw/79KnNnt6uJ41ohg82mMnhtbepC53A48Pjjj2PLli1e32PXrl0ICwtDZWUlGhsbcdVVV2Hu3LnIz8/3eUyPP/44rFYr7rzzTgDAo48+itWrVyMuLm5YfxdE/QkPV5k1LTun9U6sqVEtfk6cUOeD3a560Nnt6lyJj1fPbW7muULnjgEd0TkIs4ShILkABckFpmIJXwUZcRHe/1GW1pX2fu32uNUQb32paR8BgbzEPCwoXIBnFjwzfD/MIISH65O7rVaVZRg3DvjKV1QWr6tLXaiam9VcuZoatW90tMrgVVYCTucJnDp1qjfjUFFRgVmzZmHXrl149dVXMW/ePISHhyM9PR1z5szBnj17fF6k/vCHP+Ddd9/Ftm3beucu7ty5E2+++SbWrFmDpqYmWCwWREVFYeXKlV7PJxpqXV3qb7+lRfVoPHNGX04rNVX1m/vqV1Ww5vHo54pW+AConnFOp9rW0cFzhQLHgI5oCAghkJ2QjeyEbNw44Ua/+2XEZeCG/BtQWl+KipYKn/tISJxqOoWa9hqvx57d/SzeKn0raAUZaWnqQqQ1RTXSel2lpKh/tQuWNkeoqkoVWiQkTMOvflULu11l8W68MQ979+5BWloqcnNzsX37dixduhQOhwM7duzAqlWrvI7jvffew9q1a/GPf/wDMYY1vT766KPerx977DHExcXxAkXDxunUA7iWFr2IKCxMnSs2m8pqR0f7rgjX+j8a5522tKj5eEeOqHPlN7+pRXq6yuJdf30e9u3bg9RUnivkjQEd0Qi6reg23Fakhly1gozeYoy+BRk+euh9VvEZtp/a3m9BhhbszcqcBXucfUiPPz1dDas2NQ1c5WqxqHYnCQmqV1dREfDNb+rrSNbUqEnkDgfw1luqS/4119yPTz5ZjqlTp0JKieXLl2P69OkAgBUrVuDee+9FcXExVq5cic7OTtxwww0A1GTv3/zmN0P6sxIZSQm0t+sfUFpaVKYNUJnrhAS9B1xsrPrAc/Kk2m+gmgNtHqrNps6toiLVi662Vp0nWkWt0wm88446V6677n58+inPFdKxbQnRKKMVZNiibMi15ZoeK/5tMfZW7Q3oddbdsA4PXPmAaduOih1IjEo8r4KM8+1DZ9Taqgd3xkapWoYjI0OfZxToShNEQ0HLmmkBXGsr0N2tHouK0j+s2Gz+10I93z50Rs3NeoBXW6uvCmG16lW02vzVsLBB/9g0zNi2hGgM8VeQAQAbF23EF3VfqKKMen2+Xt+CDABeLVcAYNnby3Ds7DGvFTLOpSCjsFBVq5aUqGxdf0Gdx6Mmgc+apZ7XV3y8uhUUqPva3CHt9s9/6sO7KSnqgqXdoqL6PUyic+J2m4c9W1vV3x6g5rWlp+tBXGSAnYgKCoAZM9Tf8UUX9R/USan62c2apZ8PRloGTzuPHA49uKup0VdksVj0c0UL9IyV53ThYoaOKMT5KsgorS/Ff33zv0wZvk53J2KeiIFHevy+llaQMTltMn694NfIS8zzud9wruXa9/toF6yaGlVooWVJEhPNAR6L9ehcdHWZh0/b29V2rYWIzaYHcIGureqLtpbr55/rVd/9nSsLFgzu+3V26oVItbVAfb0ekCYl6Rm89HQVoFJwcKUIPxjQEQWupq0Gy95ZhkN1h/wWZBjV/6AeKTEpvffPOs/i2298G0Wp2nq3kxHZMhlH9tpRViZMmTqPRw0zXXmlyigEMjQbiO5u1XRVm4dXW6suzICap6QFdxkZ3hdOGtucTr14oblZL2AwzvVMSFAZ46EesvR4VGufzz5TWTiLRc88ezwqe3fFFSozN1TnitutgjrtA1FdnV5xGx9vDvB89COmYcKAzg8GdESDM9AKGemx6ah50Fxl+0nZJ/jq777q9VqJUYkosE1GbvRkZEbnIysuB9OzC/D16VcO+8+hlhAzD9Nq69FGRpozeCkpQ3expNHNWMCg3bTA32o1Z9/i4kY28K+rU4GWy6Wy1qmpao7ocPN4gLNnzfPwtPVoo6L04M5uVxk9fhgaHgzo/GBARzS0Ot2dONpwFHWOOlw3/jrTYy/sewF3/+nugF7nEvslKLm3xLTtwy8/xNulbyPHloNcWy5yEnKQY8tBRlwGLGLoIq2WFnOApxVaWK16E9eMDPX1+Qyl0ehh7OmmBXDa0HxkpF68kJDA4UYjrQeeFuRpw87h4eZCi5QUFloMFRZFENGIiLRG+i3IuHnizdi0eFPvPD1/K2QAQI4tx2vbJ2Wf4Bc7f+G1PdwSjqyELOQk6IHeVRddhQWFCwb1M2iZF+Pk8dpafZjW1+Rx7RboZHcKru5u8/BpW5sK6gAVsGk94M6lgGEs0gottIra9nZzgHfmjNpusahMopbFS0tjocVoxICOiAJij7Pjlkm34JZJt/Ru0woySutKcaThCMqay1DWXIbZ42Z7Pb+8pdzn67o8LpxuOo3TTad7tzV1NHkFdE989AQ+/PJDPfCz5fR+nZ2Q7bc6NyZGX2cTUENvxkKLQ4fUmrSAKrTQWqXY7QP3D6OR4XKZs29ayw6tgCEzUw/k2d5m8GJj9fWbATUkaxyiPXhQn/vXt9DCX+sWGjkM6Iho0IwrZNww4YZ+9719yu3IS8xDWXMZylvK1b/N5WhwNnjt27f/HqB66L1/4n2/r58ak9qb4buv+D7cVHCT6XEpJYQQiIhQi6BnZ6vt3d1qTpPWC+/ECbWQOqCCBWMGLzGx/98HDY2ODnMA53Sq7VoBQ27u8BUwkC4yUi1XltOTcHe71RxALcg7flw/V+LjzfPw4uP9vy4NDwZ0RDQirs67GlfnXe213eFyoLy53BTkXTv+Wq/9yprL+n39ekc96h312Fe1D7dNvs3r8cteuAw17TW9c/dyE3LN8/kKcjBtWgoAgbNn9QxeZaUK8gA1eTw9Xc/iJSez0GIo9F2BwVjAkJCgftc228gXMJCZ1aqyoZmZ6r5WaKFl8MrLVZAHqIydMcDr29qIhh6LIogoJBysPYhTjafMGb6WcpQ3l6OipQLdsrt33w+++wGuybvG9PzUp1J9ZgONoq3RyLHlYOOijZiRMaN3e0sL8NmxI0BLFlob4tDaqrZrXfq1DB4LLQYmpfcKDFo7Da2AQStiYAFDaJHSe0ULrdAiIkIvSkpPH7uFFiyKIKIxb2r6VExNn+rzsW5PN6rbqnuDvOn26abHnS7ngMEcADjdThxtOIq4CHOXYmu0A/PevRiAWjc3Oz4XaZE5SHTlIuZ0DmKO5SI5LAepEbmYkD4O2ZnhvUHeWJ883t3tvQKDVsAQHa0m22tBHFf/CG1CqExcYuLAhRZhYeq91z4QcXm/88cMHRGNCR3uDlS0VKC82ZzdK2sp693W2qVSb86HnYiy6tHF0YajmPTMJH8vbWJBGJ67qB1hUpVXJiUB0clncdLzd0zLzUVheg7SY9Mhhnn8SSse6O5WF8+4uJFpIOtymYdPjQUMsbHmHnC8gI89HR0quNMCvLNnzYUWxmHakQrwtb9V7VzRMsTDgRk6IqLzFGWNQkFyAQqSfSyU2aO5oxkVLRWmYA4A2rrakJ+Uj/Lmcrg8rn6/T0pMMpbfFdm7DFNNDfDB4RL8pEqf1xdhiURGTDYuSszF+BTzfL7xieMxKTWw4LEvKdX3O3pUXTD7LjGVnq4yJ3b70M1n6ugwtxAxFjDEx6sJ9TYbCxhIiYpSRS25PXVPWqGFlsU7ehQoLVWPafMntQBvKJf3kxKoqlJV7tXV8FrpJiMDKCpS8wVDZe4fM3RERAHySA9q22t7izeMc/m0bVkJWdh9927T8373+R/wvc3/EtD3mJkxE/v+dZ9p246KHdh2cltvuxatVUtEmD6e292teuwdP65XgPalzV3TFo0fTIBlXIGhudm7gEHLbrCAgQbD41HL+xnn4Wl/YzEx5lYpgy206O4Gdu8Gjh3z/bdqnOc5cSJQXDx0H0aYoSMiGgUswoKMuAxkxGXg0qxLfe7T7en22pYRl46vF369N/Br6mjy+z1ESw62bDEXWmw7uQ3/+4P/7eN1M3p78UV05CDckYvLsi9DVrzvZdfi49XF6+RJdX/WrP4viFJ6r8CgFTBERJhXYGDPPhoKFov6m09LA6ZMUX+DTU3mAO/0abVvRIQ5wAtkeT8pVTB3/DiQleX7718I/UPRsWNq26WXjv4PKAzoiIiGUJjF+6P8/ML5mF84v/d+a2erPoevJ8N3sqEMJxvKMTW2GA4HsK8nSWexAB+3+W7ZUt1Wjeq2auyu1DOCbeH3Y3qiOaB7+dTjKG3ZheSIDCRF2JEckYHP9tlxJiwDU3IzYI+zY90T6/D8888jOTkNHg9w//1PYMaMBejqcmHt2hU4dmwfpHRj8eJleOSRh7zmN91+++04cuQIAKCpqQmJiYko6VmW48knn8SLL76IsLAw/PKXv8RNN5l7BBL5o82tS0oCJvXMRGhrMxdaVFSo7WFhKhA0Flr0rTqvqlJBmr9gru/3HjdODQPn5KivAeCxxx7D888/j7SeRXifeOIJLFiwAC6XCytWrMC+ffvgdruxbNkyPPTQQz5eV2wEoM2rSATQJKWc0fPYQwC+D6AbwP+QUvpvvtkHAzoiohEWHxmPorQiFKUV+d3H2KW/+PDXga4ENLjLcNZdjiZZhkZXFTzweD0vPcq7KfOB5k+wo+GvXtuf3qR/bf0wHDEzEnDP9x7C9fbbe4sotm59A51hZ/DK31+AzWLDTVfehLvvXoI8bemNHhs3buz9+oEHHoCtZ1b5oUOHsGHDBnzxxReorKzE3LlzcfToUYRxQh0NUlycuk2YoO5rhRbanNUDB4D9+1VAlpysZ/DS09WcOZst8Gyblq07dEgP6ABg9erVePDBB037vvHGG+js7MSBAwfgcDhQVFSEJUu8zxUp5e3664ufAWju+boIwGIAUwCMA/A3IcREKaV32t8HBnRERKOQsUt/cfEtcLtvMRVaVNa40NBZhUpHGY5UliM8rQwOazkmRFzu9VoNXdUDfj+3x4UWVwOysiWuMMwZSkgQ2P3lTlz+28uBTgCtwPSXpmNc+jhkxKnsXkZsRu/X8wvm4/XXX8f27dsBAJs2bcLixYsRGRmJ8ePHo6CgALt27cIVV1wxlL8uGsP6Flq4XOZCiyNHVEDmcKivJ0zQs36BLFkWH68ajDc391/9KoRAe3s73G43nE4nIiIikNBPablQpe7fAXBdz6ZbAWyQUnYCOCWEOA7gUgCfBfJ7YEBHRBQCvLv0h+Ps2VwcOJCL+LMAWtXk8YYa4G+RKjMRFqYCw6W251BpLUOjqxqtnhq0ymq0ixo0uqrRFV6Nhs4adKIT2AU8+d2H8emVW/Czn/0MSUlJWLRoEb77k+8CPwPgAnAT0BrWiiMNR3Ck4YjXcT475VnY7XYUFhYCACoqKvAX51+w7eVtyIjLwBmcwbPbnsWxmGO98xHtsXakxqT6HK4mOlfh4SqbpmXUurtVocX+/Wo1C2M/vKgovQo7MVGdN30JoaY+tLbqAd0zzzyDl19+GcXFxaZzZdOmTcjMzITD4cDTTz+NZF8vqLsKQI2UsmemHrIA7DA8XtGzLSDDFtAJIV4CsBBArZRyap/HHgTwUwBpUsr6nm2DHjcmIhprLBbVmLWgQPXystvVBaexUd1vbAQ+/1wVMUyePBt5SbMxK1lNHE9OVhe9mho12Ts7W+LYXcfginIh15aLn/z7T/DAAw/gpZdewo6dO5AWlwb7OjsqaytR86saIB+An+vUx3/5GEuWLOm939XdhdNNp3H61Gm1oQ744sAXWN+93vzzCAvSYtJw8L8dRGpMau/2tq42bD6y2RT8JUcnD3sfP7pwhIWp4daCApWxS0tT50dtrVrH+cQJ9WEoLQ24/nr/r6MVBN1333145JFHIITAI4880nuu7Nq1C2FhYaisrERjYyOuuuoqzJ07F/n5+f5ecgmA1wz3ff1RB9yKZDgzdL8H8AyAl40bhRA5AG4AUGbYdl7jxkREY5VxKlp8vLppQ09FRaoyNTZWtRtxOvUh24gItS0/H0hKEijMndg7r+juu+/GwoULAQAbXtuAn9z7E9x1110AgOWnl2NO8RxccdMVvUUZNe01qG6rRlVLFbY8uwVr/+/a3mNKSEsAjhsOuAWAj5YqWkuYxKhE0/aTjSdx5x/vNG0Lt4QjPTbdFORlxGUgx5aDe4vvHcyvkS5QUqpgzelUWbq6OpWxA1RGLi1NnQtu98DL9mmP2+323m3Gc+XVV1/FvHnzEB4ejvT0dMyZMwd79uzxGdAJIawAvgXgK4bNFQByDPezAVQG+rMOW0AnpfxQCJHn46GnAawBYJiOe37jxkREY1VcnLpo+aK1PtF4POrC1t6u5hPV1enrbZ49W4Xx4zMRHw+sX/82iorUwEpubi62b9+OpUuXwuFwYOfOnVi9ejWmpE/BlPQppu/33nvvoeziMmRnZ/duW7poKd7947tYt2gdjpw+giefexJ3fesu1DprTcHgWedZpMWmwWoxX5Zq2mq8fi6Xx4UzrWdwpvWMaXuuLdcroPvrsb/ivj/f5xX89d6P0+/HhHPx2FDX3a2KJJxO9W9Hh35+WK36ShCRkSqQCyTRK6U6d7TejlVVVcjsmfvw9ttvY+pU3+fKjh07sGrVKn8vOxfAYSllhWHbZgCvCiF+DpXcKgSwK9CffUTn0AkhbgFwRkr5zz7p8oDHjYUQ9wC4B1C/PCKisSwhQQ0ntbb6biZsZLGobF1srNo/Nxe47DKVxbvnnjU4eLAEUgpkZOThwQefw549wA033I+PP16OoqKpEEJi+fLlmD5drZW7YsUK3HvvvSguVn1SN2zYYBpuBYCZl8zEsjuWYdUtq2C1WrH+xfWYP3++17F1dXeh0dnotT0xKhHfLvq2Kfhr6Wzx+fNlxGV4batoqcCXzV/iy+Yv+//lALhpwk14b+l7pm27z+xGSXWJKfizx9oRaY0c8PVoeBmzb1rw5upZyEUIFbTZbGqeXFSUmmZQV6c+zESew9vX2qpWjtDmz61ZswYlJSUQQiAvLw/PPfccAOD+++/H8uXLMXXqVEjp+1wxWAzzcCuklF8IIV4HcAiAG8D95zJSOawrRfRk6N6VUk4VQsQA+ADAjVLKZiHEaQDFUsp6IcSvAXwmpVzf87wXAfxFSvlWf6/PlSKIiNTSRf/4h5oEHmjGobISuPpqdaEy8nhUny+tU35rq96pX1vOS7sFaz1Wp8vZG9xVt1Wjpk19nR6bjvtm32fa99//8e/48d9/HNDrfmfKd7Bx0UbTtoe3PYwnPn7Ca9/EqESvrN/c/LlYOHGhaT8pJef7DZH+sm9hYapiVQveoqJ8nwuVlcC2bYH1oQPU6585o+bWGduWDNaFslLEBADjAWjZuWwA+4QQl+I8x42JiMYyu11N+D55UgVoA63+UF2t9jcOx2osFn0Jr6yecZLOTj24a21VFzjtQhoVpQd38fEq+zfc8Ut0eDTyEvOQl5g34L4PXPkAlkxbYgr8jNk+49cZsd4Zvuo23y1fmjqa0NTRhMP1h3u3RYZFegV0y95ZhveOv+cV/KXFpCE1JtV0y07IRmwEl9wAzi37Fh098Pw3TWYmUFioVooY6AOQ9sFn4kS9unw0G7GATkp5AEC6dr9Phu68xo2JiMYyIdTarMC5reUaaOAVGakvxwR4Z/Gam9VQFqACQq0pcTCzeJqY8BgUJBegILmg3/2klHB5XF7br867GhLSFPzVtNWg28dImD3OO0KubK1EvaMe9Y56HKw92O8xPLfwOdzzlXtM29ZsXYOmjiakxqR6BYFpsep+bHhsyGcBB5r7prUX6S/7FgghgNmz1b9Hj+p/pwOt5RoKv97hbFvyGoBrAKQKISoAPCqlfNHXvuc7bkxENNaFham1WbOy1IWqqkpdhIRQFygpVUZu5kz17/lcoPxl8YzDtL6yeFqANxJZvHMlhEBEWITX9mWXLMOyS5aZtnmkBw2OBq9h32vyrvF6fm17bcDHYGzXonnz0Js41XSq3+dFhkUiNSYVb3z7DVyRY27Y/MK+FxAfEW8KAlOiU4I6B3C4sm+BCgtT7XpyclTD4cpK8xqwHo/KdM+erTJzo+1v1Z9hnUM33DiHjojIt5YWlUXr7lYXMC2gGinGLJ4W6Bnn4hmzePHxquLwQuT2uFHXXuc1zNvgaECdo643e1fvqMfL33wZV+aY1+FNeDIBrV2tAX2vfffsw8zMmb33uz3diPh/EfBI7yXijEGednv6pqeREpNiOvbjZ48jNSYVSVFJg2783N1tDt58Zd8Gmvs2nJqb1d+o1rokPr7/FSHOx4Uyh46IiEaIlkELFmMWTxPqWbzBsFqsyIzPRGb8uU/CklLixVteNAV99c561LXrgWCdow4d7g4AQFpsmun5TR1NPoM5AGjtakVrV6sp+/fL+b807VPRUoHJv54MABAQSI5O7h3mTY1JRWq0Hgymx6bjrkvugpTqfTYGbyOZfRsMm234AriRNAp+lURENBZERqpbas/IYt8sXn9z8S7kLJ4/Qgh8e8q3B9zP4XKg3lGPzDjvoPFfv/Kv5oCw59Z3DqDVYoUt0hzV1Dvqe7+WkGhwNqDB2eDzGBIjk3Btyl2m7Nve+n9g9cd3ICUmFWkxqUiPSzUHhIabPdY+qKCXdAzoiIgoKJjFGxox4THItXn3ZU2JScFvFv7Ga7tHetDc0WwK8Fq7Wr0KK1zdLhQmF6LeUY/GDu8egUaJEamQ0px9+7yrBtWOSlQ7Bm5aMStzFvbes9e07f3j72P9gfWmTGDfgDA5OtmrGfVYxd8CERGNGr6yeO3teoDHLN75swgLkqKTkBSdhMKUQr/7XTruCuxbfhQdHUCbw43q5gac7ahHY2c9mt31aO2uQ4u7Hs2ueqTEJiInx/x8Y4ZvIL4KQkqqS7B+/3ofe5slRSXhjml34JkFz5i2f1z2ce8cwN6AMCYNCZEJIV8V7AsDOiIiGrWMzYw1WhZPy+QZs3iRkeaWKcziBWbguW9WTMiwY2q0HVFRgc19+/7M7+PmiTd7Dff2LQapd9SjMNk7sAw0IGzsaITb4/bavn7/ejy39zmv7VaL1WvId8nUJfjW5G8F9P1GKwZ0REQUUgaTxTM2P2YWL7DKU5tNDZ1GRg4uKI60RiLHloMcW87AO/tw5/Q7MSV9Sr8B4VnnWQC+M3z+AkK3x91bbawpzhyWwtMRxYCOiIhCWiBZvMpKlckDzFm8+HgV8I1UFk8Lnjweddxaq47hFGjlqbZ01mioPAWAGRkzMCNjRr/7uD1uNDobfc6juzbvWkSHR3sFhG1dbV77+goIQw370BER0QWvbxavtVUFOcDwZ/GkVN+3uhpoavJelSAxUTWyTUgYmsDS7TYHb/76vp1P9i2UOV1ONDgbTEHepVmXIj8pf9i/N/vQERERnYfBZPGMAd5gs3geD/Dll0BNDRATAyQne+/jdAKlpSqoy801r1owkL7ZN6dTBXTA6M6+BVN0eDSyw7ORnZAd7EMZUnxriYhoTBpoLl5rK1DfMw3LmMXTAr2BsnhSqmCurk4Fcv4CQi3Yqu1ZJeyii/zvy+wb+XMOnwOIiIguXFoWLysLuPhitZbn7Nnq68xMFThVVgKHDwO7dgG7d6uvKytV8Nd3BlNLi8rMJSYOHFgJofarrlbPA9TrdXQATz31KxQUTMLEiVNw331rUFUF1NW5sGrVd3HLLdOwcOFkvP76kxg/Xh1nUpL3Elrr1q2DEAL19eZCgbKyMsTFxWHdunXn/fuj4GKGjoiIyA9/WTxj82N/WbyqKjXMGmiWrLtn8YbSUiA7WwVzn332Ad55ZxPefXc/bLZItLXVIicHeOutN2C1duLQoQNwOBwoKirCnXcuQV5entfrlpeXY+vWrcjN9W4+vHr1asyfP38QvxkabRjQERERBcg4F2/cOLWtq0sP7rS5eB0dwIkTQEqK6oUXF6f+1friSame19mpz4HTArqWFvW8pCTg7bf/E48++iNcfHFkzxGk9xyHQHt7O9xuN5xOJyIiIpDgZ/He1atX46mnnsKtt95q2v7OO+8gPz8fsbGxw/GrohHGgI6IiOg8RESoDJ4xi3fmjArSwsJURq+xZ+Wsjg7g7FkgLU0VK4SHq+HRyEj934QE9XhiInDy5FF8+ulH+PGPH0ZUVBTWrVuH2bNnY9GiRdi0aRMyMzPhcDjw9NNPI9lHxcXmzZuRlZWFSy65xLS9vb0da9euxdatWznceoFgQEdERDSELBaViUtLU1k2QGXj2tpU4UNDgwr0AD1b5/GogoewMPW1x6Med7vdaGxsxI4dO7B792585zvfwcmTJ7Fr1y6EhYWhsrISjY2NuOqqqzB37lzk5+utNxwOBx5//HFs2bLF6xgfffRRrF69GnFxccP966ARwoCOiIhoiPVtPRIRoSpdk5NVkYWUqrmvcdhVG7JtblZVqh0dgN2ejfnzvwWPR+DSSy+FxWJBfX09Xn31VcybNw/h4eFIT0/HnDlzsGfPHlNAd+LECZw6dao3O1dRUYFZs2Zh165d2LlzJ958802sWbMGTU1NsFgsiIqKwsqVK0fy10RDiAEdERHREIuK8q56NRJCBXkREWp+HaDPq7NYVGbP5QKuvvob+POft6Og4BqUlR2F09mFsLBUZGbmYtu27Vi6dCkcDgd27NiBVatWmb7HtGnTUKv1QgGQl5eHPXv2IDU1FR999FHv9sceewxxcXEM5kIc25YQERENsagoNQfO6Qz8OUKoodbsbNWL7qKLgDVrvoeGhpO45ZapWLVqMdat+wMaGgQWLrwfNTVtmDRpKmbOnI3Fi5dj4sTpkBJYsWIFuIrS2MOlv4iIiIZBc7NqQdJfU2EjKVXBxOTJqmDCn+5u77VZtQpZLfNnLLSIiGCD4dGCS38RERGFmIQEwG5XK0UM1FxYSrXOq7ama3/CwlR/u5gYfZu2goQW6LW2qoAS0JcA01aRiIwc2rVqaXRgQEdERDQMhNCX8aquVgFYdLT3fk4n4HDoa7kOJptmtaq5eMaiVZdLz+B1dqoAr6lJPWaxmLN4XOc19PHtIyIiGiYWiwrqkpJUUKf1o9PalQBqePWii1RmbiiHRsPD1S0+Xt03NjPWAr2mJv04wsK8gzytvQqNfgzoiIiIhpEQKmiz2fRAyuPRs2RRUSN3HNpSZtqwrpTm1So6OlQjZI3Vah6qjYrybslCowMDOiIiohEykgFcIITQj0krxPB49ABP+7etTX9ORIT3nDwWXQQfAzoiIiLqZbGouX7G+X59K2udTlV4oTEuXcbK2uBgQEdERET98ldZawzy/FXWGoM8Gj4M6IiIiOicWa3qFhurb9Mqa7VAr6VFX5fWYvEeqg0PD86xX4gY0BEREdGQ6FtZC6jKWmP7lNFWWetyqZuUKrOo/QyhhgEdERERDRttzdpzraw1BnnDUVnrdKrg0uEwz/eTUg0tJyb67hs4WjGgIyIiohHTX2WtMcgzVtaGh3u3Txls0YWUQEODmu8XEWFuxqzp6gIqK9XxpaSERoEHAzoiIiIKKl+VtR6PeajWV2WtMYsXaGVtQ4Oa2+crkNNoWcWWFnU/NXVwP9dIYkBHREREo47FMnBlbXu7HnQFUlnrdKrMXH/BnFFsrNo/NlYPNm+//XYcOXIEANDU1ITExESUlJTglVdewU9/+tPe5+7fvx/79u3DjBkzTK8phHgMwN0A6no2/S8p5V+EECkA3gQwG8DvpZQrAzvKnteV2szEEFRcXCz37NkT7MMgIiKiIHG5zEFeZ6fvytrISLX0mhDn1kKlq0vN68vM9H7sgQcegM1mw49//GPT9gMHDuDWW2/FyZMnTduFEHsBvAugTUq5rs9jsQBmApgKYOq5BnTM0BEREVHI0qpSjVk3rbJWC/SamtS2qipVgautdqHdrP1EQxERaj6fy2WufpVS4vXXX8f27du9nvPaa69hyZIl5/RzSCnbAXwshCg4pyf2YEBHREREFxRtDpxGSj2os1r19imasDA1rOpvrpzF4h3QffTRR7Db7SgsLPTaf+PGjdi0aVN/h7hSCLEMwB4AD0gpGwP+4fzgErtERER0QdOGWRMSgLQ0IDsbGD9eDaOmpKj5cf21RpFS752n8ZeF27lzJ2JiYjB16lR/L/efACYAmAGgCsDPBvMz9cUMHREREV3w+lbACuFdWdvfc43Pd7vd+OMf/4i9e/d67bthw4Z+h1ullDX664rnoebUnbdhy9AJIV4SQtQKIQ4atv1UCHFYCLFfCPG2ECLR8NhDQojjQogjQoibhuu4iIiIaOwJD/fOsgXK4zEPt/7tb3/DxRdfjOzs7D77efDGG29g8eLFfl9LCGEsr/gmgIP+9j0Xwznk+nsA8/ps2wpVuTEdwFEADwGAEKIIwGIAU3qe86wQYoQX/yAiIqILVXi4aoHS1XVuz+vqUs8zBnT+snAffvghsrOzkZ+fb9q+YsUKGLpyPCWEOCCE2A/gWgCrtQeEEKcB/BzAvwghKnrio4AMa9sSIUQegHellF4DyUKIbwJYJKW8UwjxEABIKZ/seex9AI9JKT/r7/XZtoSIiIgC5XSqFSAC7UMHqArXceOGZhkwIcReKWXx+b+St2AWRXwPwF97vs4CUG54rKJnGxEREdGQiI5Wy3kZ147tT3u72j8U1nQNSlGEEOJhAG4Ar2ibfOzmM3UohLgHwD0AkJubOyzHR0RERBemlBT1r7aWq68mw11d6qat5RoKRjygE0J8F8BCANdLfby3AkCOYbdsAJW+ni+l/C2A3wJqyHUYD5WIiIguMEKofnOxsaoXXVubalkipXrM41Fz5lJTQyMzpxnRgE4IMQ/ADwFcLaV0GB7aDOBVIcTPAYwDUAhg10geGxEREY0dWssSl0vdtIBOW3ki1AxbQCeEeA3ANQBShRAVAB6FqmqNBLBVqIYuO6SU90opvxBCvA7gENRQ7P1Syu7hOjYiIiIiIHQDuL6Gtcp1uLHKlYiIiELFhVrlSkRERERDgAEdERERUYhjQEdEREQU4hjQEREREYW4kC6KEELUAfhyBL5VKoD6Efg+FDi+J6MT35fRh+/J6MT3ZfQZiffkIill2nC8cEgHdCNFCLFnuKpSaHD4noxOfF9GH74noxPfl9En1N8TDrkSERERhTgGdEREREQhjgFdYH4b7AMgL3xPRie+L6MP35PRie/L6BPS7wnn0BERERGFOGboiIiIiEIcA7p+CCHmCSGOCCGOCyF+FOzjIUAI8ZIQolYIcTDYx0KKECJHCPGBEKJUCPGFEOLfgn1MBAghooQQu4QQ/+x5X/5PsI+JFCFEmBDicyHEu8E+FlKEEKeFEAeEECVCiJBcJJ5Drn4IIcIAHAVwA4AKALsBLJFSHgrqgY1xQoivAWgD8LKUcmqwj4cAIUQmgEwp5T4hRDyAvQC+wXMluIQQAkCslLJNCBEO4GMA/yal3BHkQxvzhBD/E0AxgAQp5cJgHw+pgA5AsZQyZHsDMkPn36UAjkspT0opuwBsAHBrkI9pzJNSfgjgbLCPg3RSyiop5b6er1sBlALICu5RkVTaeu6G99z4CT7IhBDZAL4O4IVgHwtdWBjQ+ZcFoNxwvwK8SBH1SwiRB2AmgJ1BPhRC79BeCYBaAFullHxfgu8XANYA8AT5OMhMAtgihNgrhLgn2AczGAzo/BM+tvHTLZEfQog4AG8BWCWlbAn28RAgpeyWUs4AkA3gUiEEpykEkRBiIYBaKeXeYB8LeZkjpZwFYD6A+3um94QUBnT+VQDIMdzPBlAZpGMhGtV65mi9BeAVKeUfg308ZCalbALwdwDzgnskY94cALf0zNfaAOA6IcT64B4SAYCUsrLn31oAb0NNuwopDOj82w2gUAgxXggRAWAxgM1BPiaiUadn8v2LAEqllD8P9vGQIoRIE0Ik9nwdDWAugMNBPagxTkr5kJQyW0qZB3VN2S6lXBrkwxrzhBCxPQVdEELEArgRQMh1UmBA54eU0g1gJYD3oSZ5vy6l/CK4R0VCiNcAfAZgkhCiQgjx/WAfE2EOgLugsg0lPbcFwT4oQiaAD4QQ+6E+oG6VUrJNBpE3O4CPhRD/BLALwJ+llO8F+ZjOGduWEBEREYU4ZuiIiIiIQhwDOiIiIqIQx4COiIiIKMQxoCMiIiIKcQzoiIiIiEIcAzoioh5CiDwhRMj1nyIiYkBHREREFOIY0BER+SCEyBdCfC6EmB3sYyEiGggDOiKiPoQQk6DWpl0updwd7OMhIhqINdgHQEQ0yqQB2ATgNi73R0Shghk6IiKzZgDlUGvUEhGFBGboiIjMugB8A8D7Qog2KeWrQT4eIqIBMaAjIupDStkuhFgIYKsQol1KuSnYx0RE1B8hpQz2MRARERHReeAcOiIiIqIQx4COiIiIKMQxoCMiIiIKcQzoiIiIiEIcAzoiIiKiEMeAjoiIiCjEMaAjIiIiCnEM6IiIiIhC3P8HQ1rpY3lH8zoAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "W = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " W[k,s] = m.W[k,s]()\n", " \n", "SPdisplay(Sf,P,W)\n", "plt.title('Value of European Put Option')\n", "\n", "E = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " E[k,s] = K - Sf[k,s]\n", " \n", "SPdisplay(Sf,P,E)\n", "plt.title('The hypothetical value of early exercise of European Put Option')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "0Qm9i7bJPiN4", "pycharm": {} }, "source": [ "We see several nodes where the value of exercising the option is worth more than the option itself. These would be opportunities for a risk-free profit. If such a circumstance arises, then \n", "\n", "1. buy the put option at price $P_{k,s}$\n", "2. buy the asset at price $S^f_{k,s}$\n", "3. exercise the option to sell at the strike price $K$\n", "\n", "If $K > P_{k,s} + S^f_{k,s}$ then this deal offers a completely risk-free profit." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 420 }, "colab_type": "code", "id": "Kz_peEXRPiN5", "outputId": "28df5d36-802a-4344-e428-dbb0caa7e3cd", "pycharm": {} }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Arbitrage value for early exercise of a European Put Option')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Arbitrage = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " Arbitrage[k,s] = max(0,(K - Sf[k,s] - m.W[k,s]()))\n", " \n", "SPdisplay(Sf,P,Arbitrage)\n", "plt.title('Arbitrage value for early exercise of a European Put Option')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "M_FilhyGPiN8", "pycharm": {} }, "source": [ "## American put option\n", "\n", "Compared to a European option, an American option provides an additional right of early exercise. The holder of the option an choose to exercise the option at any point prior to the expiration date. This additional right can (but does not always add value under certain conditions.\n", "\n", "The opportunity for early exercise adds some complexity to the calculation of value. In the optimization framework, the holder of an American put could always receive value by exercising the option if the market value of the option is less than the exercise value. Thus the exercise value establishes a lower bound on the value of the option at all nodes (not just the terminal nodes)\n", "\n", "$$P_{k,s} \\geq K - S^f_{k,s}$$\n", "\n", "This is demonstrated in the following cell." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 789 }, "colab_type": "code", "id": "cykGllmhPiN9", "outputId": "e94828c0-6cf7-4297-e563-9f9be7b06878", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# set of periods and states for each period\n", "Periods = range(0,N+1)\n", "States = range(0,N+1)\n", "\n", "# future bond prices\n", "B = [(1+r)**k for k in Periods]\n", "\n", "m = ConcreteModel()\n", "\n", "# model variables\n", "m.W = Var(Periods,States,domain=Reals)\n", "m.x = Var(Periods,States,domain=Reals)\n", "m.y = Var(Periods,States,domain=Reals)\n", "\n", "# objective\n", "m.OBJ = Objective(expr = m.W[0,0], sense=minimize)\n", "\n", "# constraint list\n", "m.cons = ConstraintList()\n", "\n", "for k in Periods:\n", " for s in range(0,k+1):\n", " m.cons.add(m.W[k,s] == m.x[k,s]*Sf[k,s] + m.y[k,s]*(1+r)**k)\n", "\n", "for k in Periods:\n", " for s in range(0,k+1):\n", " m.cons.add(m.W[k,s] >= max(0,K - Sf[k,s]))\n", "\n", "for k in range(0,N):\n", " for s in range(0,k+1):\n", " m.cons.add(m.x[k,s]*Sf[k+1,s] + m.y[k,s]*B[k+1] >= m.W[k+1,s])\n", " m.cons.add(m.x[k,s]*Sf[k+1,s+1] + m.y[k,s]*B[k+1] >= m.W[k+1,s+1])\n", "\n", "SolverFactory('glpk').solve(m)\n", "\n", "W = {}\n", "E = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " W[k,s] = m.W[k,s]()\n", " E[k,s] = np.abs(K-Sf[k,s] - m.W[k,s]()) < 0.01\n", " \n", "SPdisplay(Sf,P,W)\n", "\n", "SPdisplay(Sf,P,E)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "MPLKkqvIPiOC", "pycharm": {} }, "outputs": [], "source": [] } ], "metadata": { "colab": { "name": "Binomial_Model_for_Pricing_Options.ipynb", "provenance": [], "version": "0.3.2" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }