{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Derivatives Analytics - Options Greeks" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Author**: [Gabriele Pompa](https://www.linkedin.com/in/gabrielepompa/): gabriele.pompa@unisi.com" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Table of contents\n", "\n", "[Executive Summary](#executive-summary)\n", "\n", "1. [Option Greeks](#opt_greeks)\\\n", " 1.1. [Numeric Derivatives](#numeric_greeks)\\\n", " 1.2. [`NumericGreeks` class](#NumericGreeks_class)\\\n", " 1.2.1. [Numeric $\\Delta$](#Numeric_Delta)\\\n", " 1.2.2. [Numeric $\\Theta$](#Numeric_Theta)\\\n", " 1.2.3. [Numeric $\\Gamma$](#Numeric_Gamma)\\\n", " 1.2.4. [Effect of $\\epsilon$ reduction](#Numeric_Gamma_epsilon_reduction)\\\n", " 1.2.5. [Numeric Vega](#Numeric_Vega)\\\n", " 1.2.6. [Numeric $\\rho$](#Numeric_Rho)\\\n", " 1.2.7. [Put options](#Numeric_greeks_put)\\\n", " 1.3. [Analytic Vs Numeric greeks](#Analytic_Vs_Numeric_Greeks)\n", "2. [Implied volatility](#implied_volatility)\\\n", " 2.1. [Newton method to find the root of $\\sin(x)$ for $x \\in [-\\frac{\\pi}{2}, \\frac{\\pi}{2}]$](#newton_sin)\\\n", " 2.2. [Newton method to find $\\sigma_{imp}$](#newton_sigma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **Resources**: \n", "\n", "- [_Python for Finance (2nd ed.)_](http://shop.oreilly.com/product/0636920117728.do): Chapter 6 Object-Oriented Programming." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Executive Summary <a name=\"executive-summary\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook we introduce option greeks. That is, the first-order derivatives of an option price with respect to its pricing parameters. We provide both a numeric computation using finite-difference methods implemented in `NumericGreeks` class and their analytic expression under the Black-Scholes models." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following sections are organized as follows:\n", "\n", "- In Sec. [1](#opt_greeks) we introduce `NumericGreeks` class implementing finite-difference methods to compute the main greeks of an `EuropeanOption`. We make also comparisons between the numeric evaluation of greeks and their analytic expression under the Black-Scholes model.\n", "- In Sec. [2](#implied_volatility) we introduce the concept of implied volatility, the Newton root-finding method and the `.implied_volatility()` method that implements it (and Least-Squares constrained method) for an `EuropeanOption`.\n", "\n", "All features introduced in this and previous notebooks are collected in `pyBlackScholesAnalytics` Python package." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These are the basic imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# for NumPy arrays\n", "import numpy as np\n", "\n", "# for Pandas Series and DataFrame\n", "import pandas as pd\n", "\n", "# for statistical functions\n", "from scipy import stats\n", "\n", "# for Matplotlib plotting\n", "import matplotlib.pyplot as plt\n", "\n", "# to do inline plots in the Notebook\n", "%matplotlib inline\n", "\n", "# for Operating System operations\n", "import os\n", "\n", "# for some mathematical functions\n", "import math\n", "\n", "# for date management\n", "import datetime as dt\n", "\n", "# to identify iterable data-structures\n", "from collections.abc import Iterable" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. Option Greeks <a name=\"opt_greeks\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider a plain-vanilla option of strike $K$, expiration date $T$ with pricing function at time $t$\n", "\n", "$$\n", "c_t = c(S_t, K, t, T, \\sigma, r) \n", "$$\n", "\n", "The greeks of this option are the first-order derivatives w.r.t. its pricing parameters: $S$ (the $\\Delta$), $t$ (the $\\Theta$), $\\sigma$ (the $Vega$) and $r$ (the $\\rho$).\n", "\n", "We first introduce finite-difference methods to compute them numerically and then compare them with their analytical expression under the Black-Scholes model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.1. Numeric Derivatives <a name=\"numeric_greeks\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start with a non-financial example. Let's compute the numeric derivative $f'(x)$ of $f(x)=\\sin(x)$ at $x_0=0$. We use finite differences, that is we approximate the exact derivative $f'(x_0)=\\cos(x_0)$ with the _central_ finite-difference\n", "\n", "$$\n", "f'_{num}(x_0) = \\frac{f(x_0 + \\epsilon) - f(x_0-\\epsilon)}{2 \\epsilon} + \\mathcal{O}(\\epsilon^2)\n", "$$\n", "\n", "where $\\epsilon$ is a tolerance threshold and the order of the remaining part (that we omit in our approximation) is second-order in $\\epsilon$. More on finite-difference methods (which are very general methods) on [Wikipedia](https://en.wikipedia.org/wiki/Finite_difference) (or [this post](http://www.math.unl.edu/~s-bbockel1/833-notes/node23.html))." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from pyblackscholesanalytics.utils.utils import plot_compare" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0, 2*math.pi, 100)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def df_dx(f, x0, eps):\n", " return (f(x0 + eps) - f(x0 - eps))/(2*eps)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# numeric derivative of sin(x)\n", "f_num_deriv = df_dx(f=np.sin, x0=x, eps=1e-10)\n", "\n", "# exact derivative of sin(x): cos(x)\n", "f_exact_deriv = np.cos(x)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1224x720 with 6 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_compare(x, f=f_num_deriv, f_ref=f_exact_deriv, \n", " f_label=r\"f'_{num}(x)\", f_ref_label=r\"cos(x)\",\n", " title=r\"Numeric ($f'_{num}$) Vs Exact ($cos(x)$) derivative comparison of $f(x)=sin(x)$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.2. `NumericGreeks` class <a name=\"NumericGreeks_class\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's go back to our options world and use finite-differences methods to compute the numeric derivatives of a plain-vanilla call option." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from pyblackscholesanalytics.market.market import MarketEnvironment" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initializing the MarketEnvironment!\n" ] } ], "source": [ "mkt_env = MarketEnvironment()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from pyblackscholesanalytics.options.options import PlainVanillaOption" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initializing the EuropeanOption!\n" ] } ], "source": [ "Vanilla_Call = PlainVanillaOption(mkt_env)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "common_title_Call = Vanilla_Call.get_info() + \"\\n\" + \"Market at emission: \" + Vanilla_Call.get_mkt_info()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This has been implemented in the `NumericGreeks` class." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from pyblackscholesanalytics.utils.numeric_routines import NumericGreeks" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "NumGreeks = NumericGreeks(Vanilla_Call)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "S_min = 50\n", "S_max = 150\n", "num_S = 2000\n", "S = np.linspace(S_min, S_max, num_S)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2.1. Numeric $\\Delta$ <a name=\"Numeric_Delta\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\Delta$ is the derivative w.r.t. to underlying level $S$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "delta_numeric = NumGreeks.delta(S=S)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "from pyblackscholesanalytics.utils.utils import plot" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(x=S, f=delta_numeric, x_label=r\"$S$\", f_label=r\"$\\Delta_{call}(S)$\", \n", " f_up=np.ones(num_S), f_up_label=r\"Upper bound\",\n", " f_down=np.zeros(num_S), f_down_label=r\"Lower bound\",\n", " title=r\"Numeric Delta of a \" + common_title_Call)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2.2. Numeric $\\Theta$ <a name=\"Numeric_Theta\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\Theta$ is the derivative w.r.t. to time $t$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "theta_numeric = NumGreeks.theta(S=S)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(x=S, f=theta_numeric, x_label=r\"$S$\", f_label=r\"$\\Theta_{call}(S)$\",\n", " f_up=np.zeros(num_S), f_up_label=r\"Upper bound\",\n", " title=r\"Numeric Theta of a \" + common_title_Call)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2.3. Numeric $\\Gamma$ <a name=\"Numeric_Gamma\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\Gamma$ is the second derivative w.r.t. to underlying level $S$. Being a second-order derivative, its finite-difference approximation is the following (omitting other pricing parameters)\n", "\n", "$$\n", "\\Gamma_{num}(...,S_0) = \\frac{c(...,S_0 - \\epsilon) - 2 c(...,S_0) + c(...,S_0 + \\epsilon) }{\\epsilon^2} + \\mathcal{O}(\\epsilon^2)\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "gamma_numeric = NumGreeks.gamma(S=S)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(x=S, f=gamma_numeric, x_label=r\"$S$\", f_label=r\"$\\Gamma(S)$\",\n", " f_down=np.zeros(num_S), f_down_label=r\"Lower bound\",\n", " title=r\"Numeric Gamma of a \" + common_title_Call)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2.4. Effect of $\\epsilon$ reduction <a name=\"Numeric_Gamma_epsilon_reduction\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reducing $\\epsilon$ does not guarantee increased accuracy. On the contrary, it can severely decrease the stability and overall quality of numeric approximation. Let's consider this effect on the $\\Gamma$ greek." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# epsilon reduction: 1e-4 --> 1e-5\n", "NumGreeks.set_epsilon(1e-5)\n", "\n", "# numeric gamma\n", "gamma_numeric = NumGreeks.gamma(S=S)\n", "\n", "# gamma plot\n", "plot(x=S, f=gamma_numeric, x_label=r\"$S$\", f_label=r\"$\\Gamma_{call}(S)$\", \n", " f_down=np.zeros(num_S), f_down_label=r\"Lower bound\",\n", " title=r\"Numeric Gamma ($\\epsilon={}$) of a \".format(NumGreeks.get_epsilon()) + common_title_Call)\n", "\n", "# epsilon further reduction: 1e-5 --> 5e-6\n", "NumGreeks.set_epsilon(5e-6)\n", "\n", "# numeric gamma\n", "gamma_numeric = NumGreeks.gamma(S=S)\n", "\n", "# gamma plot\n", "plot(x=S, f=gamma_numeric, x_label=r\"$S$\", f_label=r\"$\\Gamma_{call}(S)$\", \n", " f_down=np.zeros(num_S), f_down_label=r\"Lower bound\",\n", " title=r\"Numeric Gamma ($\\epsilon={}$) of a \".format(NumGreeks.get_epsilon()) + common_title_Call)\n", "\n", "# epsilon even further reduction: 1e-5 --> 1e-6\n", "NumGreeks.set_epsilon(1e-6)\n", "\n", "# numeric gamma\n", "gamma_numeric = NumGreeks.gamma(S=S)\n", "\n", "# gamma plot\n", "plot(x=S, f=gamma_numeric, x_label=r\"$S$\", f_label=r\"$\\Gamma_{call}(S)$\", \n", " f_down=np.zeros(num_S), f_down_label=r\"Lower bound\",\n", " title=r\"Numeric Gamma ($\\epsilon={}$) of a \".format(NumGreeks.get_epsilon()) + common_title_Call)\n", "\n", "# restoring default value of epsilon\n", "NumGreeks.set_epsilon()\n", "\n", "# numeric gamma\n", "gamma_numeric = NumGreeks.gamma(S=S)\n", "\n", "# gamma plot\n", "plot(x=S, f=gamma_numeric, x_label=r\"$S$\", f_label=r\"$\\Gamma_{call}(S)$\", \n", " f_down=np.zeros(num_S), f_down_label=r\"Lower bound\",\n", " title=r\"Numeric Gamma ($\\epsilon={}$ default) of a \".format(NumGreeks.get_epsilon()) + common_title_Call)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2.5. Numeric Vega <a name=\"Numeric_Vega\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$Vega$ is the derivative w.r.t. to underlying volatility $\\sigma$" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "vega_numeric = NumGreeks.vega(S=S)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(x=S, f=vega_numeric, x_label=r\"$S$\", f_label=r\"Vega$(S)$\", \n", " f_down=np.zeros(num_S), f_down_label=r\"Lower bound\",\n", " title=r\"Numeric Rho of a \" + common_title_Call)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2.6. Numeric $\\rho$ <a name=\"Numeric_Rho\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\rho$ is the derivative w.r.t. to short-rate level $r$" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "rho_numeric = NumGreeks.rho(S=S)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(x=S, f=rho_numeric, x_label=r\"$S$\", f_label=r\"$\\rho_{Call}(S)$\", \n", " f_down=np.zeros(num_S), f_down_label=r\"Lower bound\",\n", " title=r\"Numeric Rho of a \" + common_title_Call)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2.7. Put options <a name=\"Numeric_greeks_put\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make an example using a `Vanilla_Put` option" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initializing the EuropeanOption!\n" ] } ], "source": [ "Vanilla_Put = PlainVanillaOption(mkt_env, option_type=\"put\")" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "common_title_Put = Vanilla_Put.get_info() + \"\\n\" + \"Market at emission: \" + Vanilla_Call.get_mkt_info()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "NumGreeks = NumericGreeks(Vanilla_Put)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "delta_numeric = NumGreeks.delta(S=S)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(x=S, f=delta_numeric, x_label=r\"$S$\", f_label=r\"$\\Delta_{Put}(S)$\", \n", " f_up=np.zeros(len(S)), f_up_label=r\"Upper bound\",\n", " f_down=-np.ones(len(S)), f_down_label=r\"Lower bound\",\n", " title=r\"Numeric Delta of a \" + common_title_Put)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.3. Analytic Vs Numeric greeks <a name=\"Analytic_Vs_Numeric_Greeks\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Under the Black-Scholes model, analytical expressions for greeks of plain-vanilla (as well as for digital) options are available. We have implemented them in `PlainVanillaOption` and `DigitalOption` classes, respectively. It's interesting to compare the numeric and analytical implementation of the same greek, to better appreciate the numerical error." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "NumGreeks = NumericGreeks(Vanilla_Call)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's define a simple utility function to better display plot titles" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "def greeks_title_factory(ObjWithGreeksMethod, greek_type, underlying=\"S\"):\n", "\n", " # plot common title\n", " common_title = ObjWithGreeksMethod.get_info() + \"\\n\" + \"Market at emission: \" + ObjWithGreeksMethod.get_mkt_info()\n", "\n", " title_dispatcher = {\"delta\": r\"$\\Delta(\" + underlying + \")$\",\n", " \"theta\": r\"$\\Theta(\" + underlying + \")$\",\n", " \"gamma\": r\"$\\Gamma(\" + underlying + \")$\",\n", " \"vega\": r\"$Vega(\" + underlying + \")$\",\n", " \"rho\": r\"$\\rho(\" + underlying + \")$\",\n", " }\n", "\n", " # plot title\n", " plot_title = r\"Comparison of Numeric and Exact \" + greek_type + \" \" + title_dispatcher[greek_type] + \" Vs $\" + underlying + \"$ for a \\n\" + common_title\n", " \n", " return plot_title" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparison of $\\Delta$:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "delta_analytic = Vanilla_Call.delta(S=S)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "delta_numeric = NumGreeks.delta(S=S)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1224x720 with 6 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_title = greeks_title_factory(Vanilla_Call, \"delta\")\n", "\n", "plot_compare(S, f=delta_numeric, f_ref=delta_analytic, \n", " f_label=r\"\\Delta^{num}_{Call}(S)\", f_ref_label=r\"\\Delta^{exact}_{Call}(S)\",\n", " x_label=\"S\",f_test_name=\"Numeric Delta\",\n", " f_ref_name=\"Exact Delta\", title=plot_title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparison of theta:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "theta_analytic = Vanilla_Call.theta(S=S)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "theta_numeric = NumGreeks.theta(S=S)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1224x720 with 6 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_title = greeks_title_factory(Vanilla_Call, \"theta\")\n", "\n", "plot_compare(S, f=theta_numeric, f_ref=theta_analytic, \n", " f_label=r\"\\Theta^{num}_{Call}(S)\", f_ref_label=r\"\\Theta^{exact}_{Call}(S)\",\n", " x_label=\"S\",f_test_name=\"Numeric Theta\",\n", " f_ref_name=\"Exact Theta\", title=plot_title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparison of gamma:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "gamma_analytic = Vanilla_Call.gamma(S=S)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "gamma_numeric = NumGreeks.gamma(S=S)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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EpHnKnD9B0hRJy7aknYJ6D0nyd0zfV0vfd8jkGSzp/NZst7k0Rz5Jc+fmft1KZSWtntbHQEmdminnGpKulfRamrd+ZfLNJen0JMcESY9JWr8g37qS+qc8QySdKanqc5GkRSXdJGm0pDGSbpG0WJ19eTI3fkXHafXUmal7K0kDJH0h6RtJH0q6SNLCuXy/lHSPpGGpvV/X0UbVspK2k3S7pE8kjZf0uqQjahzjTdK948M0P++kOZ2vIO8Wkp6XNFHSR5KOzJ1fS9LVqY4Jqc7LJC1SUFez1kQq+w9J12W+d5d0QC1lZybNWb+StqmwTh/I5W32GGbq2FTSlwVrNivHsHrqDIIgCAKAuRstQBAEQTBbMwYoKU5WBf4KPCJpHTMb38w6Pwe6Au+0ULZbgSOB7YAHCs53BwaY2ectbCfP/wFvAN+0cr2zIhcC9wAflssgqQvwCPAlsJ2ZjWlmW+vha+1ZoIkiJMOfgVOBE4D302e/tCa/TDItAfQDXgN2A1YHLgYE9Kgixx3AKsBv0/cLgbuBbnX05TAgq4C5GXgbOC+T9lkd9WVZDBgIXAl8hY/bX/A+7p7Jtw+wEn5t/Jb6qKXs4fhz5p+BIcBPgcuBlYGTq9TfHR/j84APgB8CZwHrAvuWMklaE+gL3Jvq7Ar8TdJ4M+uZsu0AbApcBbwOfA84G9hU0uZmNjXV1ew1kdb4b/CxzvZhIXxuZyWas36fx8c2yyrAf/DxB1p8XU3DzJ6V9BZwND5XeTl+B+xYa31BEARBUCIUYEEQBEFL+M7Mnk1/PyvpU+AJ4Of4i1bdmNk3uJKjpTwNfIK/iOatFFYDNgAObYV2ZiApWb5s7XpnUT7OzH8TJK0APAqMA7Yxs5EtaOseM7sr1XsvrlzIt7cAcBJwtpldndKewdfBkUx/Cf89MA/wCzMbB/xPUmfgT5IuKqe8lfRTYGtgczN7OqUNA56S1M3MBtTSETN7K1fvBODLSmNZK2Z2J3BnJmmApO+AqyR1yigg9zSzqanf9SrAail7mJl9lfneX9JCwB8knWZmkyvUf06u7ABJ36Y+HGdmQ1L6ScCnwAFmNiW10QWf554pTy8zuzxX1+f4PaEr8FRKb9aayJR9zszer5Cn4TR3/ZrZWHL3ZElbAVOY8T7fkjHMcyNwjqTz0txOk0MttA4OgiAI5lzCBTIIgiBoTV5Mn12KTkpaVtINyVVpoqT3JJ0tad5MniYukJIGSbpY0rFy17ZRknqnl6tCzMyA24DdlNwRM3QHJgMlhcrCkq6S9G5y3flY7kI5zQVH093+jpJ0vqSvJA2X9Pec/DO4QNaCpM0l3Sfpc0njJL0sqXuNZbvJXd7GJ7em/pJ+kM4tL+nG1J/SeP9FZdxCWxNJy+CWX98BW5esr5pLyVKnCj/BFWO3Z8qNw5UdWYuRHYG+6VyJ3sCCwBYV6t8RGFJSHqT6n8attWZli5QRuBXOtHmvcTwLqaVsToFV4mVgfgqUlzWWBVgqk7YjcFdJQZLoDaws6fvNqKvuNSFJwP5klI6SeuEWUFsr59IqaRdJ/ZKL31hJz0jaJldnL0l5hVMTV+Vm0JrrtzvwqJkNz9VfcQwlvaSMq2gJSf+W9Hwm6V5gaWCbfN4gCIIgaC6hAAuCIAhaky7ps1x8liWAkcBxuGvSRbjr0N9rqHsf3HrhMNzdaWfg3CplbgUWBnbKpXcHHjSzUen7griC4E/4S9wZwLb4y1uek4Algf2AS4EjgKNqkL8SXXDLuYOBXfGXv1sk7V2pUHpx7gdMBA4Afolbvi2XsiyJu8Edg4/3JbjV2+VNKmtdSq5Q8wBbFbmZJoVitUN1trsWrtjMu2S+nc5l8+VdbD/G3VbXojxF5YrqbzUkdWjOOKVyHSX9GF/Xt5dRBs1MNgOGZa67estOAd4DkMfwWpam8/F2+qw0H5ulz6wlXnPXxNpJjqczaWcCjwMv4FZmXXGLJnDXwf/D7x97As8BD0napEIbhdS4NrLP+q2yfpNycT38/pqlljG8HthXbq1Zqm8RYA+mjxFmNjrJFQqwIAiCoNUIF8ggCIKgRUgq/S9ZFbga+BpXfjTBzF7HYzKVyj4FjAdukPQHM/u2QlOTgd3N7LtUdm1ckXVEuQJm9oqkt1O+krXXOsA6wDmZfMOy9aQ+fYq7Sy2fcbkC+MDMDk5/PyR3K/oFrgxrFmb270zbwl+eV8KVVZVcSc/D4z39PFm8QSYmj5m9ArySqfspXFl2jaSjS2PZBhwMGLC+mQ3On0zjW8kFrsT+QK862l0UGJsZixKjgEUkzZWslzoDo7MZzMwkjU51VKp/REH6KKYrHVubT4Dlq+Q5nRljJQG8i8e7Al8TB7WuWPUhaT18PeflrKXssnhct54ZN7rSPI3OZR+VO5+va0H8unnEzN7NnGrumtggfb6RKfehpFHA5Lxbq5n9LSPLXEB/XJl0MK4Mq4fHgM2r5LkeOCT93Vrr95fAt3j8vyy1jOG/8bhgewK3pLTu+A8QeYXaq8DGdcgVBEEQBBUJBVgQBEHQEhZnRkXGp8C+5QLLJ+XO0bgV1ypA1k1wJTzgdTn65xQ2bwFLSZq3iuKsN3CKpIWSa053YALQJyfbgcCxwGq4RViJ1fEg3iUeztX/Fm6d1mzku7CdBeyCKzs6pFOfVCizCP7yfWSBwqeUZy68T4fgVmbZ8V4BGNQSuSvwOLAJcLGkXfLxnszsO0kb1VDPR81ou2gsiizJyuUrHMtWKNdcfg7MWyXPkIK03fFA++vjFo234daFNZNRboPrMqaUzVy5nsVwBfRLwAWZ9LmY0RthSn4tJ1fiO3HFygk0JT/uKpNeuv/0xDcK2K6Gukr1VZrbZYBxKXZhVSStiFuuboVbjpXk7VC2UHkOxi1cK5F3PW6N9dsdd3XMKx+r1m9moyXdjStkSwqwg4B7C+r7CqjlPhEEQRAENREKsCAIgqAljMFdVAx3exxaThmTOAb/9f983HphFP6CcxUzKmeKyL8cfYu/WM2b/i7HrfgueLviu5btC/TJBmROroY9kxyn4lYSK+HWV3m5iuSoOd5XGW4Bfoxbx7yFW9EdxfQdNotYDO9/pV0sj8etXc7FXSxH4zvi/a0VZK7EM7ib5R3AjZL2L1gXrzQt1oR6FS6jgE6SlGuvM24ZVopdNTqlTSMpRzrRdH7z9RfFnWti+dKKvEmxAi9Lk3Eys5JF0tOS3sN3Z93CzB6vpVH5RhHZoO4f4srhupA0P3AfrujaLacMPQvfJbLEDJZsSUHWC1gT6JpTkJQsvfLzUfpeNB+X4K7TW5vZoNy55q6JjtS446ukDsD9qcxpuIJ3PH59LlKhaDk+oPrayMZra/H6lbQB/qPA6QWnax3D6/GdWVfGd3TtiruN5vmGtr1PBUEQBHMYoQALgiAIWsJ3Zjawjvx7A3eY2bSX3uTK2GaY2fuSXgS6S3oXf3nLW5LsDTxlZtNieSkTAL8tSS5ZO+K75v0rk17NImQkrnhctkKevYHeZnZGpt71WyBuzZjZPZKOAP4JfIHHfSvJ0FYukO/gccdWZcY4YPnYRO/QNOZRF/xlvChGUrbc/gXpa1EcL641aK4LZJaX0uequHVeLXzGjNY3k2osN420hnsDawCbFWyEcDUe765E3pLtb7gF3Nb5HRbNbKx8N8f8PJa+zzCPkk7ErU/3zgaBz9DcNTGSYqVSEWviFnnbmtk0N/GkJMwyiaZWf4sV1FevC2RrrN/uuNLuvoJztY5hfzw22IH4pgif4Rtm5OmMj28QBEEQtAqhAAuCIAhmJvPT1Fpiv5nQ7q24lcVw3BLhwVlELnALB2Xbl9QJt1Qpa1mSFAADgQMkXVPG8q6R/cLMrpW0NHCWpOFmdkFKbysXyCeBcbji73yYpmDcCbgyk68vcLSkBTOWgPviL/aVFER9gVMlbVqK7SRpU9xasG+Fci2huS6QWUpKko9rbTS59NWj3C7in7iF6FZ5BVZqYygwtKigpNOBw4G9zOyZMvX3BX4h6cyMdd++wCAzKwXDR9IBuOvl0WZ2d4W6mrMm3gU6SFrRzD7LpBdZhpYUXdlrfVXcKvPFTL7BwJ6S5su4Vm5b0Ha9LpAtWr/Jmmtf4P/MbEJBlprGMMUFuyHJPy9wY5mdRbuQNj0IgiAIgtYgFGBBEATBzOR/wB8lPYdb6OxHM9yqmsFt+I6TBwM3FMQM+x9wuaRT8Zf+nYEtZ4JcmNkISS8DPSSVXhpPxd2VFihfEvDdMB8GHpB0HR7bbHPgGTPri/fr90lR9hG+U2SX1u9Feczsr0kJdn5SgvVM6XUpVzKWcuABuztK2it9f8DMJprZBEkXAqdLGoO78B2Pu4FdlanuH7iL6V2SLsbX4OnARTnX2EHAQ2b2uyTzE5IeAXoliyKAC4HHzGxAptzZwClm1uLnLDN7rZ78kv6Du9G+im948GN859InySgh0mYQ32f6GttI0iRguJk9UaWNqmUlnYFfb2f7V22aqeJNM/u6Qv0H4O6R1wPDcmU/yOxmeSFu3XazpOtxRdIhTLd4QtJWqZ6+wAu5uj7LbHBR05oo4DncBXUD3JKpxDvAzyXthisoh+DurEOBy9L4dEr9zG8UcQ/uEnidpJtT3QfkG84F8a9KHev3JmATM8tbc20OrEjTYPUl6hnDnrhr+lzp7yI2wMcnCIIgCFoHM4sjjjjiiCOOug+gB/BVlTw9gYGZ7wvhW92PTMe/cGWTAeumPF3S950z5QYBF+fqPijlW6hGeR9L+bcpODc3cBnuqjcWj121Wcq/QyaPAYfnyp4NDMt8PyTl65i+r5atJ6UNBs7PfF8Ddwsaj7u8HZ+vt0K/foYrNybi1m2P4rsvgluH3IQr00YC1wK7JXnWqlW+MuPVZCzKlcVfcm/H3R53rtanMm2W5Cw6Vsi1dQaucJiIK33WL6hv3TTmE3GlRA9groK+/CuXtihwMx7/bgzuorlYLs+leDy8Wvv2Sr6dFlyXx+BKobF4LLnX8ThbCxas26Kx7FdDG1XLpjVZbr5+UqX+XhXK/jqXdwvgBdxt8GN8U4haZDXgtHrXRBl5HwT+mUtbCnfvHJVtC98cYmBq4z2mu/k+myt/MP4jwXh8w46fkLtOm7k+alm/vXBFY77slfh9ZJ4K9dc8hsCzwIAy5zbCFYsrlll/Ve+NccQRRxxxxJE/ZNZWmxYFQRAEQdAeycTwOhK41mbcnXOOR9JTwH/N7JxGyxK0PWkTjauB5Sy342lQjKQlcYu535nZTQXnLwLWM7MdMmnCd8v8C3CwmS0zs+QNgiAI2gehAAuCIAiCoC4KgtivZ9N3HZyjkTQvviPq6mY2otHyBG1P2q3yddzVr2eDxZmlSZuLrI1virEFsKqZTczlWQj4FNjVzJ7MpG+Du3WDu9uGAiwIgiCoi4gBFgRBEARBXVjTIPYfNEyYWQzz+HJFO/YF7RQzmyrpUOB7jZZlNmATXIk1CDggr/xKrAyckVV+JZ5j+s6kYWkXBEEQ1E1YgAVBEARBEARBEARBEATtmrkaLUAQBEEQBEEQBEEQBEEQtCWhAAuCIGgjJPWQZJLeL3P+g3S+Ryu11yXVt3ML61kqyd6lleRaI9XXuTXqa6EsAyTdOavW10wZLHP8MJO+hKQrJX0kaZKkoZIekrR7jfXOm+bth9Vz11TfTyQ9k5HlnBRLLJ/vUEnvp3wvStq6xvo3l/ScpImSPpb0x9aQuyVI6pmbn9KxVg1l15b0iKQJabzOktQhl+csSV+mOd6loI5HJB3bmn3K1H1Q6stCbVH/zELSIpL+Iul5SWMkDZN0j6Q1CvJ2knSjpFEp778lLV5DG5L0J0mfpfX5eP66krRWWr9jJPXOj6ukLSQNae54Szqs1mu/hrpOl9RP0ti0BrqUyXeopPckfSPpbUm/rqONuq5nSfcmWY6qoe41JV2VZJqQrp8riv5HVbsOJS0r6SJJr0oal+b4JknLFdS1fFpb4yR9le7PC+TyDMrcJ1r0vzwIgiBoSijAgiAI2pZJwCqSNswmyuMnrZzOz2osBZwJdGml+tZI9TVcAQYcAZw6C9fXXC4BugLvAUiaB+gP7AicA+wAnAQMB2pSKAHz4vPWYgWYpFXwuOw6QDMAACAASURBVD/DgT2A84CjgYtz+boD1wA3J9nfBO6XtG6V+lcDHgI+BnYC/glcKumQlsreCryDz032GFSpgKRFgX6AAbsBZwHH47vflfLsAPwR34nzOmAGZYykPYAVgCtbrysz8ADelwltVP/MYiXgUHz97AX8DlgWeE7Sirm8twHdgEOAg/B4VPfW0MYpwOnABcAuwDign6RsEPeeeCy9ffAg8X8qnZAH2b8cONXMxtXTuQyHAa2iAMPHaG78HlOIpF/i1+HdeJ8fBG5O67Ii9V7PkrYDNq1D/m2BzYF/AD8Hzgb2Bh5OY12qt+p1CGyA39NuTf08EY9z9nRWWSlX9j+E/9/fF7//7Q1cm5NtD+AXdfQlCIIgqAcziyOOOOKIow0OoAfwFfAwcHHu3CX4w/BXQI9WaKsjrrAyYOcW1rVuqqdbK43Dzqm+Lo2ek/Z4pLE9Kpe2bUrfqCC/aqx3oVTHQa0g4z+Bj4C5M2l/xANZL5tJexe4IfO9tLterxrqfy9X/9XAZ7X2t0Ld8wAdmlm2JzCwGeVOBUYBi2TSTsKVTYuk7xcDV2XOvw3slP6eD/iw9D2OimO9IDB/Lm0xXEl1Ziata7oetsikbZzStqlQf0dgDB7UPdvml8DZ6XvpWlsyfd8XeCGT/1A8AHyz1zIwEOjZSmM2V/ose29P1/LNubS7gTdqqL/m6zldn28DBxfdC8vUv3hBPdul8ltm0mq5Djtn5Uxpa6S6Dsyk/RKYAqySSdsHmIrvGJst34VW+F8eRxxxxBFH0yMswIIgCNqe3sA+kgTuDoM/+PbOZ5TUVVKf5GoxXtIrkvbL5Sm5Hm0sd8GbiP/q3ARJ3SR9LencTNpKycVmZHLreEjSmulcF1zhANC/5IpRrmPJbad3cvuYIOlNSceUfkWX1A24L2X/ONU3qNJgyV3lHkv1jZB0naSFC/r/49T/CWmcfixpQbmL0pjk1vLLXN0zuCxKWkHS7ZK+SK42H0r6a+b8OpIeTGM1PrnMHFmuvpS2ldx1Z5Kk4ZKuzlkCdEvyd5N0R3KH+UjSEZXGpU5K1nbD8ifMrNbdb75OnzdmXHK6NFOeHwIDzOy7TNrDuBXJdgCSVsVfHG/PyDoVuAO3BqvEjsDdufp74xZQFa3H8pTmVO4y9iFupdnEnamN2RF4yMzGZtJ6A/MDW6bv8wLZHfQmpDSAY4H3zeyB5gogaR5JF0v6VO7CNlTuvjVvOt/EBTLdW/pqutvaQWksB2Ty9JC7f20iaWDK+6SkVeTu1/ema+JtSVvlZDog5R0pd0Psr5x1bb2Y2XjL7URoZiOBT3Br2BI7AsPN7PFMvudxK6VK63MzYBFmXNfj8ftiqVxp3kpyTJtLSYsAfwWOruPanYE0/hsAB2au5YOaUxdMuy4rtbcAsDpuPZXlYWCdGu4j9VzPR+PjdmOVOqdhZiMKxvLl9Jmf84rXoZmNzsmJmb2Hz2G+rhfM7ONM2r3At7iFbhAEQTATCAVYEARB23M3sDTwk/T9p8CSwD0FeVcGnsJdbHYB7sIVEL8syHsrcD/uwnF//qSk7YH/AheZ2Z9S2mLAk8CawOG4Im5B3B1nfuBzoKRwO5LpLlvlWB7/pf+IJMd1uHvIyen8S8AJ6e9fpLrKusBI2hx4BFfc7AUck+oterm5KY3BnoCAO4HrgaGp7HO4y80KFeS/GVgRdw8quQvOlznfB//V/tfArsDfgYUpg6S1cVefr5JcZwK/SrLluQ54FR+PAcBVkjbO1DVNUVZB/nK8glsW3JAUik1ibdVASflwNtPXwedJtg6S5q5yZJ8xOuIvelm+SZ/fT5+luFjv5PK9DSwmackiISUtiM9hUblsvfWwOfB7fB3vAoyRU63PReO8tjxW0jdJebNlQZ48a+X7Y2af4i/Vpf68CPwiKY62xhUDr8jd6k7ClWAt4VT8XnA6blF4DG7J1KEosyTh18v3gd8Cx+FWfpsUZF8Ad/26DLeMWQm4Bb+en8TvFUOAOzRjjKQu+DW7N35dDQYeT8rTaXI0c56yfVkSWA14K5PcZE4Sb1N5ja2F30PysSCnlUsKt4+BP6R79GG4xRb4+Pczs2cryVyFI3DZ/8v0a/kBcPfKGsarcM4rMB9+Ty53zZcdr3qu57TWTweOqaaUq4HN0mfFOS+4DpsgaX18jVer61vcUrM596ggCIKgGTTngTgIgiCoAzMbLelBoDvwRPp8MKXn806zCksvlI/jv3ofir8cZvmbmV2Ryd8l8/euuMXBaWaWjbN0LK7w+mF66ULSU3hMot+a2VWSXkt536r20mVmj+AKq5K8T+IP/ocC55nZWEnvpuwvm9mgSvUB5wNPm9m+mb4MAR6RtK6ZvZHJe7GZ3ZRp+wHcyujPKe15XBG2Cx7rpYiNgV+aWclKbUCm3SWAVYHdzaxkFfdIFfnPwC1HdjWzKamekcBtkrqa2TOZvLea2dkpz4Ak5y+A59N5w1+c67b6MLP3JZ2Ij+cTwCRJjwHXm9kdNVbzQvr8sGAdfIgrayvxF9wNGDy20Ua58yVl32Lpc9H0OTqXb1Tm/JcF7ZSs3SqVq5fOwI/MbJoFXVJElo15lMm3Smadv4wrYt/Cld7HA/+T9JNkPVSORWnaH/A+lfrzH1x59BG+Rk43s48l3QjcYmZvF5Svh42B/5SuscTt5TLjiuofAJuU+pauwUH4eskyP/BHM3ss5VsOuAp3Obw4pQ3GY8BtCfQFMLOzShUkBev/8HX1azw+E8CB1GYNpArnLsFdILNWupXmZNWC9Gy5caX7Qa7cApLmTYqQI3Frx3NxZdmR8lhYBwPrV+pINczsLUnjgS8LruUb8DGrxGN47LNa2xuV7nsbMeMY5q/5Iuq5ni/ELbQepwUkJev5wGNm9mbmVC3XYb6uuYAr8Dl8uCV1BUEQBK1PKMCCIAhmDr2ByyUdhytlCne0kgfd/QsecHd5pltbDCnIXs69aU/cOuI4M7sqd24b/KVxbMYK4mvcmqRuVyJJHZluKbISHo+ldG7uvGtIlboWwC0T/pCz0HgSjxW1AZBVgGWVUR+kz0dLCWY2RtKX+DiW4xXgPHnw8EfTr/slRuIxZ66R9Degv5l9UaUbGwN35l527wK+wy0AswqwaS9HZjZZvlvoCpm0x2jB/2kzu1TSbfha6oZb8Wwv6Xwza2ng/l2Y0VKuiKGZv/+BK35OT3+vhr9wTknHDKLnvqtMep5y55vjNvZiVvlVSqOpEq+Iaf3OKqgBJD2AK8P+RPWA5EVyq5RuZpOBHZLie5yZfSVpAzxo+JrJ8vH6JPNAPJbb0II6y/EK8HtJw3GrxteruOBtBAzLKvbMbIikFwvyfosrZks0uX4zadOuX0nfxxVEmzGje1l2x8b7qG2eCpH0e1yhtqeZjcidrjgnFShXbto5M+sraSn8HvChmU2R1Ae4zMwGy12vS5a155vZ1TV0pxZ6UH2jhK+rnC/iGuDo9ANLf9zNb/90rvTjQAcyisjc/4uK17Okrvj/0u+XyVf6YSRrvTY1bymW8lyPr6edyrWXr7qCfOfh/8e2TNdoS+oKgiAIWplQgAVBEMwc+gD/wl3sFmR6XKw8PfHdrP6KvyiPxV2xdivIO7xMHbviypsiF8slUv37FpyrZt1UxAW4u+ZfcHfH0bisp+Fub/XsWLYo/rJydTry5Hdky/6a/m1BWim9Y4U298Xn5DKgs6RXgePN7BEzmyrfXewc3Epi/vQy90cze7lMfcuSm5f0IjuCplYP9cpaN2Y2hDSeybXoTuBESRcXvNzXw1tUtqABd8EsydFP0mm4u9JZuELzLFwRXBqvkoVHZ9zVjsx3KLaeyKbndxktZ1FWC0XX1jhcKVSRSkpfM5so6b+4ArESoyjeNbUTuf7krCqvwDfVGCXpetw9eQ/cUuZvuMKgVs7G5/AI/DofIumivFIvwzIUW+h9SVO34a9ziogm16+ZfZssZDsCyOMAPozPzXG4peUk/L6avW5GMuP6qZlkOft34GQzy98/R+FWfHk6U3mNjQIWltQhpxjvDEzIKknMbALTd3LdBreo21fSD/D/CSU3vWckPWlmr9FyPsVdSSvRHAXNOXgcsLvS95G4su0ipl9fM1iSyneLLa2hatfz5Xiw/DGSsnnnl9TJzMbQ1BrwJnz3ziwX4NfItmb2Ue5czddhkv8IPB7nL83suRrrqrZ+giAIglYkYoAFQRDMBFLQ4/txF8T70vcZSNZUO+FuQFea2aNmNpDy9+pyLyV/wC3G/pcsm7KMxJVxGxUcR1I/ewN/N7MLzaxfkrdmq68co/E+nVlGvhuaWW9ZzGyImR2E7wrWFY891qc0bmb2jpntib+kbIO/aD+gGeNbZfmcGS1TSlYOi+Nj3zDSmrsaVzKu1sLqPsSVWJWOM3Ltn4MrYNfHY+JdgysUSi5Zpfg4+Xg4awEjzaxIuVLq12dlymXrrYeia2tLqvd5ctYVuc76s7xDrj+SVsSV54X9kccJ7IQrBQB+BlyblCrXpO81Y2aTzOwMM+uCW1jdhluxlgvYPYxiBVFh7LZm0BW3jvq1mf3bzJ5M95tOuXwHUsM85SuXtBluqXuNmV1U0H6TOUmUiw2WLVd0zZUtlyxgLwdOMg/Q3w23UH3HzN7Bf6yoJZZcLdxA9bGq+8cRM5tgZvvgitH1cEu+Qbiy86WUbRdmvMcPreN6XhOPSzcqc4Are0vK/ZI1YOnoka1Q0rF4jMoDzCxrkVii5utQ0p648vQkM7utxrrmxd1nm3OPCoIgCJpBWIAFQRDMPP6Bu41dU+b8fPiLUilQcMnqYVfq+wV+LLA9HrflIUlb2fRdrB7BA9+/abmdzzKUrDFqsUaaPydvBzzGWd31mdl4Sc8Ca2Zj/cwMkjXKs5L+AjyNWyWMyJyfDDwq6VI89lJnihVazwF7SPpTxtrjF/j/2yfbsAszkAJpjy2wRlo9fVZz5YTK81avCyQAZjaOtMuopDNxK55+6dxHkt7DlaoPpTxzpe99q7TVFx/30zLjvi/+Iv1G+WJ1UbcLZB75RhM7proq0Re31FvYzEruZ/viu909VqbeC/A4flkro1IA+QWpbrFXlhRT7gRcSV7a6CHPC8CZkjbOxABbHnddfqq5bWeYP31m7zeb4YHxs+NZtwukpHXwHygepIx7Oj4np6f4bU+mchviCoxK6/Np/J68N25VV3L33gXfCKCIw4FROUVKdjOA5sxnOQvTHrSNCyQAZjYcGJ6u5cNxF/Gx6dzrZYrVcj3vTNP3mP64pePdqf4RZO7jWST9Co/1dryZlYttV9N1mOID/hu40maMuZmv61eSVjazT1Larvh9tOh6CoIgCNqAUIAFQRDMJMxsAJkg6wXnx0h6AThD0ljc/egU3J1nkTrbGiFpWzzOzv2SdkiWIJfi8W0elfR33FJsadya4EkzuxV3iZkIHChpDDA5WVoU8T88WPMHuELoSJoqRkpB8H8nqTfu9lPuxeckPOD9VNxd72s8tthOwJ/Nt5dvFSR1whUtN+NuR/PhQcqHAW/Ld/K6GLd8+Qh3wTkZeNXSBgIFnI0HPr9X0j9wi5UL8EDNz5QpU06+LXGF5dYpHlg9bIXHNrsRV0xMxd2nTgHuN7OPq1WQXNA+BvaR9AbubvaamX1bYf7K9WU1PC7d8/izx874ToE75ZR0PYBekgbhSpMDcaXdrzJ1FY3LRXgculskXYcrQH4H/D4btyrVOyBZ/dVFegEudx00Ia2v+4FeeDyrJXAL0OVxJXQp38q4Rd1vzezmlHwNroi5W9IFuJKlB3BpRpmd5STgJTPrl0l7DPirpIvT+QGZNg/CXcOyAfvz8t+DK5Zexu8He+FzVy7g+H/xXU1vl3RqKnMm7u7W0h36wC0FxwHXSboQv7Z6kIuPWEnpUUSKu/VgqvtvwMaavjnJWDN7K9X7jKSH8J1lT8D7dAF+3+yXqe96PP7TaqncJEnn48qzUbi1z3G4Ze/fC+RZFB+37TPJjwMXSvpt+r4Vfi2Xygyi+rp+B48BuD0+Ph+b2Yg0/4MqjVGBjFviln0bpKQd5fEW3yqNl6Sd8R8S3satYg/FLaCqBdyHGq7nkhIyJxfA+9Xul0n+nrhL7TOSNs2cHmxmJZfQqtdhikt3Lz6+t+Xq+tLMShtA3An8OdV1Om65eBm+0UR+h9AgCIKgrTCzOOKII4442uDAH5S/qpLnKzxmT+n7angg6PG4IuqkfD14DBMDFsrV1SWl75xJWznV8yAwb0pbDn/5HY5bUwzCX9LXyZTbD1cKfev/KsrKvzQea2xsqu9C/EVnBvlwxdInuHvkoCpjskmSd2wah7dwxV2ncv0v6ntKH4TvFln6PgC3QABXeF2HK+gmpLm4H1gvnV8KuAVXfk3CFWO3AisV1ZdJ2xq3BJuEW1pdnZO1W5J13Vy5GerK5OtWZbwMOCqXtiKuvHsFdy39Gre8OhVYoI41vB3wWuqLAV2aeS2shL/Ej0lzOgD4aZm8h+IKo29wV6mtc+cLxwXfZOD5JOsgPFZbvu4vgAuryNpkTpvZ5464JcpnqS9j0rretMx1e1AufW38XjARd639K9ChoJ0VcPev1QrGvH+a+0eBFTLnjkgyLVpB/hNxhd+YVMdzwG6Z8wfR9DpcOfVxEn69H4YrGe7N5OlB7r5Y4ZqYYW3jgdTfSGPyGr7zZIvmK9N20TEgl7czfu8cjd+f/gMskcvTk9w9DrfW+jMea2si/sPEj8rI8zd8t9Z8+tFpHXwO/KEZ63pV3NpyTNF6q3PMBpQZrx65uXoNv7eOJHfvrKGNqtdzQZkm98Iy+XpUmPMeubwVr8PMdVB09Cy4Vu/Fla0j8J1Pm9yPKfP/LI444ogjjpYfMqvHqyYIgiAIglkJSYa/HF9tdey6OaeRAmx/AKxuTYNdz1FIugnfEe83bdxOJ1yBfKWZndmWbc2pxLpuX6QwAl3wOd3FzO5vrERBEATti3CBDIIgCILZnyuAKyT9yMyq7lQ4h7IZbokUSgIPKL9na1cq6XDcNfB93EXuONzSstU3sAimEeu6fTHDzphBEARB6xIWYEEQBEEwG5MCcZeotLlBvlylH8HMZgymHgRVkfQbPE7eSrgL1/PAqWb2bMWCQRAAIGk9psfRfN/MxjRSniAIgvZGKMCCIAiCYA4kuU6W4zEz6zazZAmCIAiCIAiCtiZcIIMgCIJgzmSjCue+nmlSBEEQBEEQBMFMICzAgiAI2ghJPwX+ZWZrNlqWIAiCIAiCIAiCOZm5Gi1AEARBc5E0SNJwSQtm0g6RNKCBYk3DzJ4I5VcQBEEQBLMz6XlroqRxmePKNmyvm6TBbVV/EARzLqEAC4Jgdmdu4OhGC5GnSoDxIAiCIAiC2YldzGyhzHFUowUKgiCol1CABUEwu3MRcIKkzvkTkrpIsqwyStIASYekvw+S9JSkyySNlvSRpM1S+meSvpB0YKbsfJIulvRpsjy7RtL86Vw3SYMlnSxpGHBj/hdMSStKulvSl5JGlPv1VNL8km6SNErS25JOytVziqQPJX0t6S1Je2TO1dunnpKultQ3/aL7lKRlJF2e2n9H0o9qaTsIgiAIgjkLSf+QdGfm+wWSHpGzqKT703PPqPT3Cpm8i0m6UdLQdP7eZNXfF1guY222XEG7i0u6T9JYSS9IOlvSk5nzV6TnnrGSXkxhKUrneki6Q1Kv9DzzuqQ1JJ2anpM+k7RdJv+AVP/TSZ77Uvv/zrTfpZa2gyBoLKEAC4JgdmcgMAA4oZnlNwFeAxYH/gP0xoODrwb8GrhS0kIp7wXAGsAP0/nlgTMydS0DLAasDByWbURSB+B+4BOgSyrbu4xMZ6Y8qwLbJjmyfAj8FOgE/AXoJWnZZvYJYB/gNGAJ4BvgGeCl9P1O4NI62g6CIAiCYM7heGD99EPbT4GDgQPNA03PBdyIPxetBEwEsj/+3QIsAKwDLAVcZmbjgR2BoRlrs6EF7V4FjMefvQ5MR5YX8Oe1xfBnoTskdcyc3yW1vyjwMvBQknd54Czgn7n6ugP7p/Pfw5+Vbkz1v40/u9XadhAEDSIUYEEQtAfOAP4gaclmlP3YzG40synAbcCKwFlm9o2ZPQx8C6wmScChwLFmNtLMvgbOxR+ISkwFzkxlJ+ba2RhYDjjRzMab2SQze5Ji9gHONbNRZjYY+Fv2pJndYWZDzWyqmd0GvJ/qr6tPmfz3mNmLZjYJuAeYZGY3Z8pPswCroe0gCIIgCNof9ybL8tJxKICZTcB/XLsU6AX8IT27YGYjzOwuM5uQnpvOAbYESD+e7Qgcnp53JpvZY7UIkn5U3BN/5ppgZm8BN2XzmFmv1P53ZnYJMB+Qjcv6hJk9ZGbfAXcASwLnm9lk/IfDLprRu+BGM/vQzMbgFmofmlm/TPnss1K1toMgaBARoyYIgtkeM3tD0v3AKfivcPUwPPP3xFRfPm0h/MFoAeBF14UBIKBDJu+XSYlUxIrAJ+lBqRrLAZ9lvmf/RtIBwHG4lRhJviUyWWrtU7n8ZfPW0HYQBEEQBO2P3c2sX9EJM3te0ke4FdftpXRJCwCXATvgllYACycF1orASDMb1QxZlsTfYys9Kx0PHII/UxmwCJWflb5KP/yVvoM/44wuk7/Ss1K1toMgaBBhARYEQXvhTNxCa/lM2vj0uUAmbZlm1v8V/oCzjpl1TkcnM8sqkqxC+c+AlVRbcPzPgRUy31cs/SFpZeA64ChgcTPrDLyBK+PalEa2HQRBEATBrImkI3Erp6HASZlTx+OWT5uY2SLAFqUi+HPRYiqI4Url5ymAL4HvKP+s9FPgZNyiftH0vDKGmfOs1LC2gyCoTijAgiBoF5jZB7i73h8zaV8CQ4BfS+og6bd43Ibm1D8VV/5cJmkpAEnLS9q+xiqexxVb50taUFJHSZuXyXs7cGoKHrs8rnAqsSD+YPhlkuE3wLr196hZNLLtIAiCIAhmMSStAZyNu0HuD5wk6Yfp9ML4j4ejJS1GJk6WmX2OuxJenZ535pFUUpANBxaX1KmozWSpdTfQQ9ICktYCDshkWRhXkH0JzC3pDNwKa2bQyLaDIKhCKMCCIGhPnIUrabIcCpwIjMCDrD7dgvpPBj4AnpU0FuhHjTEd0sPaLnjsrU+BwcC+ZbKflc5/nNq4Ew9OT4pzcQkefHU4sB7wVPO6Ux+NbDsIgiAIgoZyX2ZXxnGS7klW7b2AC8zsVTN7H/gTcIuk+YDLgflxK/pngQdzde4PTAbeAb4AjgEws3eAW4GPUryxJrtA4j8OdgKG4cHsbyU9K+EB7fsC7+GbD00i5yLZhjSy7SAIqiDfoCMIgiCYVZH0e6C7mW3ZaFmCIAiCIAhmNSRdACxjZvndIIMgCKYRFmBBEASzGJKWlbS5pLkkrYnH0Lin0XIFQRAEQRDMCkhaS9L6cjYGDiaelYIgqELsAhkEQTDrMS/wT2AVfPeh3sDVDZUoCIIgCIJg1mFh3O1xOdx98hLg/xoqURAEszzhAhkEQRAEQRAEQRAEQRC0a8IFMgiCIAiCIAiCIAiCIGjXhAIsCIIgCIIgCIIgCIIgaNdEDLAGsMQSS1iXLl0aLcYsyfjx41lwwQUbLcYcSYx9Y4hxbxwx9o0jxr48L7744ldmtmSj5ZgdiOep8sQ11hhi3BtHjH3jiLFvHDH25Sn3PBUKsAbQpUsXBg4c2GgxZkkGDBhAt27dGi3GHEmMfWOIcW8cMfaNI8a+PJI+abQMswvxPFWeuMYaQ4x744ixbxwx9o0jxr485Z6nwgUyCIIgCIIgCIIgCIIgaNeEAiwIgiAIgiAIgiAIgiBo14QCLAiCIAiCIAiCIAiCIGjXhAIsCIIgCIIgCIIgCIIgaNfMUUHwJe0AXAF0AP5lZufnzs8H3AxsAIwA9jWzQZK2Bc4H5gW+BU40s0dTmQHAssDEVM12ZvbFTOhOEARVMIMvv4QPP4QPPoAvvoBvvoGpU2GuuWDxxWHppWGZZfxYfnmYZ55GSx0EQTBrE89TQTDnYAbDhsFHH8Hw4f7311/DlCl+zD8/dO7sx0orwfe+B4stBlKjJQ+CIGjKHKMAk9QBuArYFhgMvCCpj5m9lcl2MDDKzFaT1B24ANgX+ArYxcyGSloXeAhYPlNuPzOLbYiCoIFMnQovvwz/+x8MHDhd6TVuXO11zDcf/OAHsMEGsOGG8LOfwSqrtJ3MQRAEsxvxPBUE7ZuxY+Gpp2DAAHjmGXjjDRg1qr46OneGH/8YNt4YNtkEunXztCAIgkYzxyjAgI2BD8zsIwBJvYHdgOwD225Aj/T3ncCVkmRmL2fyvAl0lDSfmX3T9mIHQVCO776Dfv3g3/+Gvn1hxAhPX311WGMN2GIL/yWydCy7rCu5OnTwXy1HjJj+a+awYfDWW64869UL/vEPr2vNNWHHHWHXXWHLLd1yLAiCYA4mnqeCoJ3xxRdw771w553w6KP+jDTPPP5j4N57wzrr+HPVMsu45fwii8Dcc/vz1MSJMHo0jBwJn3ziP0C++64/T118sT+rdegAXbvCz38Oe+3lz2lBEASNQGbWaBlmCpL2AnYws0PS9/2BTczsqEyeN1Kewen7hynPV7l6DjezbdL3AcDiwBTgLuBsKxhUSYcBhwEsvfTSG/Tu3btN+jm7M27cOBZaaKFGizFHMjuN/eDB89Onz3L067c0o0bNy8ILT6Zr1xFsuOEoNthgFIst9m2L6p86FQYPXoAXXliU555bnFde6czkyXOx/PIT2HXXoWy//TA6dfquVfoyO417eyPGvnHE2JfnZz/72YtmtmGj5ShHPE/NHsQ11hhmp3GfOhVeemlR+vRZjqeeWoKpU8Xyy09giy2+YsMNR7L22mPp2HFqi9r49tu5ePfdhXnhhUV59tnFef/9hQH4/vfHsu22w9l66+Esskg8T83uxNg3jhj78pR9njKzfbl2oQAAIABJREFUOeIA9sbjVJS+7w/8PZfnTWCFzPcPgcUz39dJad/LpC2fPhcGHgYOqCbLBhtsYEEx/fv3b7QIcyyzw9i/+KLZ3nubSWbzzGO2xx5md99tNmlS27Y7frzZv/9t9pOfmIHZfPOZHXig2bPPmk2d2rK6Z4dxb6/E2DeOGPvyAANtFnhuKnfE89TsQVxjjWF2GPfJk8169jRbc01/pll8cbMTTjB79dWWP9NU47PPzC66yOwHP/C255/f7LDDzN54o+V1zw5j316JsW8cMfblKfc8NSc58wwGVsx8XwEYWi6PpLmBTsDI9H0F4B78gezDUgEzG5I+vwb+g7sGBEHQirz4Imy/vcfmeughOOUU+OwzuPtu2GMPd2tsSxZYAH71K3jiCXjtNfjtb+Guu2DTTV2m66+Hb1tmdBYEQTC7EM9TQTAbMmUK3HCDh3Y46CAPXt+rFwweDBddBOuv3/aB61dYAU44AV55xeO2/upXcPPNsO66/pz3zDNt234QBMGcpAB7AVhd0iqS5gW6A31yefoAB6a/9wIeNTOT1Bl4ADjVzJ4qZZY0t6Ql0t/zADsDb7RxP4JgjmHwYDjgAI9B8dJLcN558OmncO65HoOiEay3Hlx9NQwd6nHCpkyBQw6BtdeG225zl4IgCIJ2TDxPBcFsRv/+HpT+4IN9h8Y+ffy5ar/9oGPHxsj0wx/Cv/7lP2iec44rxDbbDHbYAZ59tjEyBUHQ/pljFGBm9h1wFL7j0NvA7Wb2pqSzJO2asl0PLC7pA+A44JSUfhSwGnC6pFfSsRQwH/CQpNeAV4AhwHUzr1dB0D757ju48EIPuHr77XDyyb6j4ymnQKdOjZbOWXhhOPxw/xXzgQfcSqx7d9/x6JFHGi1dEARB2xDPU0Ew+zBkCOy5J2y1FYwZ489Uzz8Pu+zS9tZetbLEEvCnP8HHH/uz34svesD8ffaBQYMaLV0QBO2NOWkXSMzsv8B/c2lnZP6ehMe2yJc7Gzi7TLUbtKaMQTCn88or/gvlSy/B7rvDZZdBly6Nlqo8ku9qtP328J//wGmnwTbbwHbbwRVXwFprNVrCIAiC1iWep4Jg1sYMbrwRjjvOQzScfbb/Pf/8jZasPAsuCCeeCL//PVxyiSvD+vSB44/3H0AXXrjREgZB0B6YYyzAgiCYtZkyxR/QNtzQXR/vuMNjfM3Kyq8sHTrA/vv71t+XXuq/sK6/vj+0TZjQaOmCIAiCIJgT+Pxz2HFH/zHxBz/w2KV//vOsrfzKstBCcOaZ/jy1994e9mLtteH++xstWRAE7YFQgAVB0HCGDHGrqdNP94edt9+Gvfaadczz66FjRzj2WH9w228/uOACV4T1799oyYIgCIIgaM88/LArvR5/HP7+d3/2WG21RkvVPFZYAW65xQPjd+7sbpvdu8Pw4Y2WLAiC2ZlQgAVB0FD++19/WHv++f9n787jrB77P46/Pk37vocK2Up1KySFNJWoRNmVJWu4JW5Edrqz5LbFL2ubiCJbKN2RsUsRKmvc3JWtFCrar98fnzN3Y0w11cxcZ3k/H4/zOGe+53u+feZqzsx1Ptd1fS6frv/YY16gNdXVrevfz7Rp/nXHjnDBBbBiRdy4REREJL2sXeuzvLp08f7HzJnQrx+USoNPem3aeF2wwYPhmWdgzz1h7NjYUYlIqkqDX4sikopCgNtug+7dfZTvgw98W+5UnPW1KR06+PKDCy+E//s/3/VI23yLiIhIUViyxBNfN93kyx7fe8+XDKaTsmU9wffRR/69nXwy9O4Nv/wSOzIRSTVKgIlIiVu92jtpAwb47kRvvw2NG8eOqvhUrAh33eWzwdasgXbtfMvvdetiRyYiIiKp6tNPYf/94Y03fNb5Qw95nyNdNWkCr73ms8GefNJLTLz2WuyoRCSVKAEmIiVq8WKv9zVqlNf8Gj8+vTtreXXo4KOXxx+/YbfIRYvKxg5LREREUsyUKb488LffvNbXaafFjqhkZGX5bLC33/a6qx06eH9Sg4oiUhhKgIlIifnsM2jd2qfnP/YYDBqUHvUptkS1al67YtQomDEDzjmnFW+9FTsqERERSRVjxsDhh0OjRt6XOOCA2BGVvP3221A+Y/BguOyyFvz0U+yoRCTZZdhHTxGJ5aOP4OCDvQj8a69Br16xI4rHzDts770HFSuupUMHuP9+r4smIiIisjG33w59+kB2ti993HHH2BHFU7kyjBwJI0bAnDlV2WcfnxkmIrIxSoCJSLGbOdOnqJcr5521/fePHVFyaNoU7r//Aw45BM47D/r2hVWrYkclIiIiySYEuPxyuPRSOPZYePFFqFIldlTJ4YwzYNiwWZQrB+3bw913a1BRRAqmBJiIFKu33oJOnXzp3+uvwx57xI4ouVSuvJbnn4crr4Thw31E97vvYkclIiIiyWL9ejj/fLj1Vh8wGzfOBxVlg912W87770O3br7zdt++vumSiEheSoCJSLGZNg0OPRTq1fPkV6NGsSNKTllZvivkk0/C7Nmw777wzjuxoxIREZHY1q+Hfv3gvvvgsstg2DDvN8hfVa8OzzzjRfKHD4fOnX3zJRGRXEqAiUixmDx5Q4HW11+Hhg1jR5T8jj0W3n3Xd8Vs3963MxcREZHMlDf5dfnlcMstXkdUNq5UKS+KP3YsTJ/uxfLnzIkdlYgkCyXARKTIvfgi9OgBTZpATg5st13siFJH8+a+o1OHDj59/8ILtbW3iIhIpgnhz8mvm29W8mtL9O7tA7CrVkHbtjBpUuyIRCQZKAEmIkUqJ8dnMu21ly+BrF07dkSpp2ZN76j94x9eyPWYY+D332NHJSIiIiUhBBgwQMmvbdW6tQ8q7rEHHHmkL4sUkcymBJiIFJkZM+CII3zZ40svQY0asSNKXVlZcMcdngCbOBEOOQR+/jl2VCIiIlLchgyB22/3GWBKfm2b+vXhtde8HtjZZ8N112mHSJFMpgSYiBSJTz+FLl2gTh2YOlUzv4rKBRfAhAnwwQdw4IHwzTexIxIREZHi8tBDcMUV0KsXDB2q5FdRqFzZBxNPPx0GDYIzz4Q1a2JHJSIxKAEmItvsu+88+VWmjCe/6tePHVF6OfpoePll+PFHr2Mxa1bsiERERKSoTZgA554LXbvCww97QXcpGmXKwIgRPgNs1ChfErl8eeyoRKSk6deqiGyT336Dbt1gyRKvW7XrrrEjSk8HHQRvveUduPbtfTq/iIiIpIecHC/c3ratJ8LKlIkdUfoxg+uv91l2U6f6hkOLF8eOSkRKkhJgIrLVVq/22Ulz58JTT8E++8SOKL01bQrvvAMNGviMO+1oJCIikvo++wyOOsoHEZ9/HipWjB1RejvrLHj2WZgzxwcVFy6MHZGIlJSMSoCZWRcz+9zM5pnZwAKeL2dm4xPPTzeznRPHO5vZ+2Y2O3HfMc9r9k0cn2dmd5tppb5khhC8hsIrr/iuOoceGjuizFC/vm/r3bQp9OgBTzwROyIRyTTqT4kUnUWL4PDDfcbXpEnaQKikdO/uGzbNnw/t2sFXX8WOSERKQsYkwMwsCxgGdAWaAr3MrGm+084EloYQdgPuBIYkji8Gjggh/A3oAzyS5zX3AX2B3RO3LsX2TYgkkZtugkcfhcGDoU+f2NFkltq1Ydo0aNPGi+SOHBk7IhHJFOpPiRSdlSt9MOu777xIe6NGsSPKLO3be3/qt9+81MScObEjEpHiljEJMKA1MC+E8HUIYTUwDuiR75wewMOJxxOATmZmIYRZIYTvEsfnAuUTo5vbA1VDCO+EEAIwBuhZ/N+KSFzPPgtXXw0nnwxXXhk7msxUrRpMmQKHHOIz8e66K3ZEIpIh1J8SKQLr18Npp3lpg0ce8UEtKXmtWvnM+lKl4OCD4b33YkckIsUpkxJg9YH5eb5ekDhW4DkhhLXAr0CtfOccA8wKIaxKnL9gM9cUSSsff+yJr9atvYioFqnEU7GijxgffTT84x/wz3/60lQRkWKk/pRIEbjhBhg/HoYMgWOPjR1NZmvaFN5805efduoEr74aOyIRKS6lYwdQggr6mJ7/o+ImzzGzZvg0/kMLc/6fLmzWF5/aT7169cjJydlMuJlp+fLlaptICtP2v/xShnPP3ZcKFYwBA97n3XdXl0xwaawofub//ndj+fLGXHvtdsyZM59zz/1KiclC0O+beNT2KU39qRSg91gchW33N96ozaBBzenS5Xv22+9z9F+17YriZ/7WW8syYMBedOlSgcGD57DffkuLJrg0p9838ajtt1wmJcAWAA3zfN0A+G4j5ywws9JANWAJgJk1AJ4BTg0hfJXn/AabuSYAIYQHgQcBWrVqFbKzs7fle0lbOTk5qG3i2Fzbr17ty+1+/dWniu+33wElF1waK6qf+Q4doH9/GDasIdWqNeT++306v2ycft/Eo7ZPaepPpQC9x+IoTLvPnQu33uoz6Z95ZnvKl9++ZIJLc0X1M9++vfd3r7mmBU8/Dd26bXts6U6/b+JR22+5TPp4NAPY3cwamVlZ4ERgYr5zJuJFWQGOBaaFEIKZVQdeBK4IIbyVe3II4XtgmZm1SexWdCrwXHF/IyIlLQTo1w/eeANGjID99osdkeRXqhTccw9ccYUvTT3jDFi3LnZUIpKG1J8S2UpLl0LPnlCpEjz9NJQvHzsiyS93o6FmzeCoo+D552NHJCJFKWMSYIkaFP2AKcCnwBMhhLlmNsjMjkycNgKoZWbzgIuB3K29+wG7AdeY2YeJW93Ec+cBw4F5wFfA5JL5jkRKzrBhnlS54gro3Tt2NLIxZr475w03wMMPe3FdJcFEpCipPyWyddat8z7Ut9/CU09BfVW5S1o1a8LLL0OLFl5n9ZlnYkckIkUlk5ZAEkKYBEzKd+zaPI9XAscV8LrBwOCNXHMm0LxoIxVJHm+/7QXWu3eHwQW+CyTZXHstZGX5Tp1r1/ruUqUz6re9iBQn9adEttzVV8NLL8EDD8CBB8aORjanRg2YOhW6doXjjoPHH/d7EUlt+kgkIhv1009w/PGw446eRFFNqdRx1VVQpgxcfrknwR57zL8WERGRkjVhAtxyC5xzDvTtGzsaKaxq1WDKFK8D1quX96d69YodlYhsCyXARKRA69b5H/mff4Z33oHq1WNHJFvqsst85tcll/jXSoKJiIiUrC+/9LqcbdrA3XfHjka2VJUqMHkyHHEEnHyyJ8FOOSV2VCKytZQAE5ECXXutFwEdORJatowdjWytiy/2+0su8Rphjz2m5ZAiIiIl4Y8/4NhjffBp/HgoWzZ2RLI1KleGF1+EI4+EPontPZQEE0lN+hgkIn/xwgteTP2ss+D002NHI9vq4oth/XoYMMCXsT76qJJgIiIixa1/f/j4Y5g0yctJSOqqWNF3hOze3TcZysrSxlAiqUgfgUTkT77+2ke19tkH7rkndjRSVC69FELwZZFmKowvIiJSnMaMgeHD4corvZC6pL4KFTwJdvjh3lcuVQpOPDF2VCKyJfTxR0T+Z9UqOOEEfzxhApQvHzceKVoDBvhMsIEDPQk2ZoySYCIiIkVt7lw47zxo3x5uuCF2NFKUKlb0lRLdunlNsKws7Q4pkkr00UdE/ufyy2HmTHjmGWjUKHY0Uhwuv9xngl1xhY9cPvywd95ERERk2y1f7nW/qlSBxx/XQFM6qlTJa4J17eobRpUqBcccEzsqESkM/UoWEQDefLM2Q4d6vYqePWNHI8Vp4ECfCXbVVT4TbPRoJcFERES2VQhw7rnwxRfw8suw/faxI5LiUrmy13br0sWXQT75pPrPIqmgVOwARCS+b7+FIUMas+++cOutsaORknDllTB4sBfEP/10WLcudkQiIiKpbcqU7Rg7Fq6/Hjp0iB2NFLcqVWDyZNh3Xzj+eK8PJiLJTQkwkQy3Zo2PXIVgjB8P5crFjkhKylVXwaBBXhD/zDOVBBMREdla8+bB3XfvRna2DzJJZqhaFaZMgZYtfRnkiy/GjkhENkUJMJEMd9118O67cMkln7PrrrGjkZJ2zTU+Uv3ww3DWWb40UkRERApvzZrcguiBMWNUViDTVKsG//437LUXHH20zwoTkeSkBJhIBps2DW65xRMfHTosih2ORHLddX4bPRr69lUSTEREZEv8858wfTpcfPEXNGwYOxqJoXp1T4I1awZHHeWzwkQk+SgBJpKhFi/20crGjeGuu2JHI7Fddx1cfTWMGAH/+IcX8hUREZFNe/NNuPFG6NNHg4mZrmZNmDoVmjTxgvgvvxw7IhHJTwkwkQwUApxxBvz8s2/RXalS7IgkNjOvB3bRRXD33V6/REkwERGRjfv1VzjlFNh5Z//bKVKrlie+dt8djjzSV1uISPIoHTsAESl5997rO9XcdZcX7RQBT4LdcQesXOlLY8uU8aSYiIiI/FW/fjB/PrzxhhdDFwGoXRteeQU6doTu3WHSJMjOjh2ViIASYCIZZ/ZsuOQSOPxw6N8/djSSbMxg2DBYu9ZrmpQuDddeGzsqEdkaZlYPOBRoAVQHfgE+AqaGEH6IGZtIqnvsMXj0UbjhBmjbNnY0kmzq1PEkWIcO3ueePBkOPjh2VCKiJZAiGWTlSujd2wt1jhzpyQ6R/EqVggcegNNO89pgN94YOyIR2RJmtqeZTQA+AU4BygA/JO5PAeaa2QQzaxoxTJGU9c03cN55cMABXjJApCB16/oSyB13hG7dvF6ciMSVtDPANGopUvQGDoQ5c3wUqm7d2NFIMitVCoYPh3XrvDh+6dJw+eWxoxKRQhoN/As4KYSwKv+TZlYW6AGMADR3RWQLrFvndb9CgEce8b+PIhtTr54nwTp0gK5d4aWX4MADY0clkrmSbgaYRi1FiseUKTB0qC977NIldjSSCrKyYNQo6NXLk6e33x47IhEpjBDC/sBbQIHzfEMIq0MIT4YQlPwS2UK33OIzeYYNg112iR2NpILtt/ck2PbbexLs3XdjRySSuZJxzGI0GrUUKVKLFvlytmbNvOMmUlhZWTBmjNcEu/RSH+m+8MLYUYlIIYwFHgVGAphZbeByoBIwMoQwM2JsIinpvffg+uvhxBPh5JNjRyOpZIcd4NVXvRj+YYfB1KnQunXsqEQyT9LNAAsh7B9CmFBQ8ivx/FaPWppZFzP73MzmmdnAAp4vZ2bjE89PN7OdE8drmdmrZrbczP4v32tyEtf8MHHTwjJJKiHA2WfDkiVesLVChdgRSaopXRrGjoWjj4aLLvJRbxFJei2AZ/N8PRI4DmgITDOzVlt7YfWnJBMtXw4nneSJjPvuUx1V2XL163sSrE4dOPRQmDEjdkQimSfpEmAAZra9mZUv4mtmAcOArkBToFcByyjPBJaGEHYD7gSGJI6vBK4BLt3I5U8KIbRM3H4qyrhFttXIkfDcc3DzzbDXXrGjkVRVpgw8/jj06OHbvj/wQOyIRGQzSoUQloAnnoBuwFEhhCOA/sANW3NR9ackU110EXz1ldf9ql49djSSqho08CRYzZqeBHv//dgRiWSWpEyA4dP2e+d+YWa1zexfZnbvNoxYtgbmhRC+DiGsBsbhSynz6gE8nHg8AehkZhZCWBFCeBPvuImkjHnzfLlax47ecRPZFmXLwhNPQPfucO65MGJE7IhEZBO+MrOWiccdgQUhhFmJrx8D9tnK66o/JRnnqaf8b97AgXDwwbGjkVTXsKEnwapXh86dYdaszb9GRIpGsibAimPafn1gfp6vFySOFXhOCGEt8CtQqxDXHpWYrn+NmSZES3JYs8an6pcpAw8/7Lv6iWyrsmVhwgTfSOHss2H06NgRichG3Ak8YWaXANcDT+d7vtJWXlf9KckoCxb437tWrbz+l0hR2GknT4JVqQKHHAIffhg7IpHMkIxF8KHgafv7hRBmmdlp+LT9w7fwmgV1pMJWnJPfSSGEhWZWBXgK36lyzF/+cbO+QF+AevXqkZOTs9mAM9Hy5cvVNkVk9Oidee+9nbn22rnMm7eIefM2fb7aPo5UbfeLLirF4sXNOeOMGnz++WccdtiPsUPaYqna9ulAbV/8QghjzawMcAaepMq7BUor4PutvLT6UylA77GisX49DBjQgj/+qEr//jN5++0/Nnm+2j2eVG37m28uzz/+0ZL27bO4444P2XXXFbFD2mKp2vbpQG2/5ZI1AfaVmbUMIXxIwdP2b96Kay7AZ5DlagB8t5FzFphZaaAasGRTFw0hLEzcLzOzx/ClAX/psIUQHgQeBGjVqlXIzs7eim8h/eXk5KC22XbvvOM1Kk49FW64oVmhXqO2jyOV271dOzjySBgyZE8aN96T006LHdGWSeW2T3Vq+5IRQhiN766dXzt8aeLWUH8qBeg9VjRuvx0++AAeeghOOWX/zZ6vdo8nldt+//19d8iBA/fj1VehefPYEW2ZVG77VKe233LJuiiqOKbtzwB2N7NGZlYWOBGYmO+ciUCfxONjgWkhhI2OWJpZ6cS24iRGWbsDc7YiNpEis2yZb829445wzz2xo5F0VrEiPP+816844wzfcEFEkl8IYUgI4aqtfLn6U5IRPvwQrrgCjjoKzjwzdjSSznbd1ZdDli3rdXvnzo0dkUj6SsoEWAhhLHATXkS1SKbtJ2pQ9AOmAJ8CT4QQ5prZIDM7MnHaCKCWmc0DLgb+t7W3mX0D3AGcZmYLEjselQOmmNnHwIfAQuChLY1NpChdeCF8843PAKtaNXY0ku4qVPBdRg87DM46S0kwkWRgZv3NrNxmzilnZv239NrqT0km+P136N0b6tTx2V+qSCfFbbfdPAlWurQnwT75JHZEIukpWZdAFsu0/RDCJGBSvmPX5nm8Ei+2X9Brd97IZffdmlhEisNTT8GoUXDVVXDQQbGjkUxRvjw88wz07OlJMPAZYSISzXbAPDObBLwGfA4sA6oAewDZQFcKWGJYGOpPSbobMAA+/RSmToVahdm+QaQI7LGHJ8Gysz0JlpMDTZrEjkokvSTlDLBN2cZp+yJpa+FC6NvXdym67rrY0UimKV8enn0WDj3Ul4o8+GDsiEQyVwjhSmBv4EvgTGAyvqRwEl4U/zNg7xDC1dGCFElSL7wA994LF1/su/OJlKTGjWHaNH+cnQ1ztBhcpEglXQKsOKfti6Sr9evh9NNh5UoYOxbKlIkdkWSi3CRYt25wzjkwbFjsiEQyVwhhcQjhthBCpxBC3RBC2RBCvRBC5xDCnSGEn2PHKJJsfvjBZzDvtRfcdFPsaCRT7bmnz/4qVcqTYB9+GDsikfSRdAkwNkzbf8DMepvZvma2R+K+l5k9gI9o1o0cp0jSuPtun6Z/xx0+fVoklvLl4emnoUcP6NcPhg6NHZFI5jGzk2PHIJJqQvDBxGXL4LHHoNwmh+NFileTJvD6677hUMeOMGNG7IhE0kPSJcAS0/b3QdP2RQpl9mwYOBCOOMKXQIrEVq4cPPEEHH00XHQR3HZb7IhEMoOZ7WhmO+P9pbzH74gSkEgKGTYMXnrJ/2Y1axY7GhEvjP/661C9ui/Hffvt2BGJpL6kLIIfQlgE3Ja4ichGrFwJJ50E1arB8OHapUiSR9myMG4cnHyyFxNes8a3kxeRYrULnvza28xewYvffw50jhqVSJKbOxcuvdSX8P/977GjEdlg553htdegUyevs/rii9C+feyoRFJX0iXAzKwrcCjwX+Bj4ONEQkxE8rnqKp8B9uKLUFeLgiXJlCmzoSbdlVfCihXwz38qUStSXEIIOUCOmZ0CjAd2ApoCx8eMSySZrVwJvXv7YOLIkfobJcmnYUNPgnXsCF27wsSJ2qBBZGsl3RJI4E680/Yl0Aa4O244IsnplVe85tff/+4jliLJqHRpePhhOOssuPFG31UrhNhRiaS9viGE1SGEL4EXgNMixyOStK68Ej7+GEaNgnr1YkcjUrDtt/ck2G67QffuMGlS7IhEUlPSzQADcoCPQgh/4J02AMxsH2BuCGFVrMBEksWSJdCnjxfI/Ne/YkcjsmlZWfDgg1C5Mtx1FyxfDvff78dFpFisN7NSIYT1IYR1ZtY6dkAiyejf/4Y774Tzz9dgoiS/unXh1Vehc2fo2ROefNI3HRKRwkvGBNibwAwzewJ4H5gVQvgOOBloamblgR+B2WxYIvlNrGBFSloIcM458OOPPgW6YsXYEYlsnpnPWKxcGQYPht9/h9GjfXmkiBS5YcDzieL3WUD5yPGIJJ1Fi3wwsWlTDSZK6qhVy1eBdOkCxx7rs+x7944dlUjqSMYE2BV4sqs20AI4ATg1hHBx7glmVgf4W+J2BHB2hDhFohgzBiZMgJtvhn32iR2NSOGZeQ2wypV959IVK2D8eG01L1LUQghPmNnnQHegBnB67nOaUS/ig4lnnukz6qdMgQoVYkckUng1asDUqXDkkb7Z0C+/aPMGkcJKxgTYv4HPQwizgKm5B/N22BJF8aclbiIZ4+uvoV8/OPhg31lPJBVdfrknwfr186n7Tz0FlSrFjkokvYQQPgI+KuApzaiXjHffffD8874sf6+9YkcjsuWqVoXJk+GEE3wJ75IlvjmWNnEQ2bRkTIAdDHxkZo8Ds4APQwj/QR02yXBr18Ipp3jdpDFjVD9JUtv55/uI+9lney2L55/3af0isu3M7ADgGGA+if5S7o7amlEvmW7uXLjkEl9C1r9/7GhEtl6FCj6IeMYZcM01ngS77TYolYzb3IkkiaRLgIUQ9jWzWsBeiVs34Gx12CTT3XgjvP02PPoo7LRT7GhEtt0ZZ/g0/l69oF07X4bSsGHsqETSwnDgVOAh4APgRnxnbc2ol4y2cqX/zalSxetQaraMpLoyZbwOWI0avqHD0qXw0EO+C7eI/FXSvTXM7FU2zPCaDTyX7/n8o5qPlXSMIiXtzTdh0CBf53/SSbGjESk6Rx3lia8jj4QDDvDHTZvGjkok5f0YQphpZktDCGea2chjdCdJAAAgAElEQVQ8z2lGvWSsgQNh9mx48UWoVy92NCJFo1QpGDrUZ9Jff73XBHv8cSiv7U9E/iLpJkiGEDoA/YB3gcP5a4JrOPA40AfoDTxfogGKlLClSz3ptfPOMGxY7GhEil779vD6677M96CDfKajiGyTN8ysIrDAzA4FWuU+EUK4OITQJYSQjfe33gYaAVdFiVSkhEye7EmCCy6Abt1iRyNStMzguuv8Z/zZZ+Hww2HZsthRiSSfpEuAAYQQFocQXgkhnAO8nO/pH0MIM4GlIYQzgU9KPkKRkhECnHMOfPedj+RUrRo7IpHi0aKFJ75q1YJDDoEXXogdkUjqCiFcG0L4HbgE3wnyxvznJGbUD8TLTcwBrizRIEVK0I8/wmmnQfPmcOutsaMRKT79+3ut4Ndeg+xs+OGH2BGJJJekS4CZ2Stmdo+ZnWVmh+FF8fPa6KimSLoZORKefBL++U9o3Tp2NCLFq1EjeOstaNYMevaEUaNiRySSmszsXjMrFUJYFELoT8Gz5TWjXjJCCHD66fDrr1oWJpnhlFNg4kT47DNo29bvRcQlXQIMOAx4EPgd2A+4Nu+ThRnVFEkHn33mozidOsFll8WORqRk1K0L06ZBx45eJP+WW/zDi4hskZeAJ81sezMbALxSwDmaUS8Z4Z57fPnjbbf5DDCRTNCtm88C+/13OPBAH2AUkSRMgIUQ1oYQZocQHgshDA4hvA5gZpeaWcc85y0KIfQPIYyPF61I8Vi1yncpqlDBpzFrO2PJJFWq+BLIXr3giiu8XsvatbGjEkkpU4DFwH8BAw4q4BzNqJe0N2sWDBjg9ZDOPz92NCIlq1UreOcdLy/RqRM89VTsiETiS7qP1WbWz8wmm9kwMzvHzNomnjohhDAt37n7m9n/bcG1u5jZ52Y2z8wGFvB8OTMbn3h+upntnDhey8xeNbPl+f89M9vXzGYnXnO3mTZUlm03cCB8+KEvAdthh9jRiJS8smXh0Ufhkkt884ejjoLly2NHJZIyXgOmAy2AzkDj/Cdsy4x69ackFfz2Gxx/PNSpA6NHe5FwkUyzyy5eY3WffeC44+Duu2NHJBJX0iXAgDOBXsBdwFLgiMTxP/KfGEKYDrQszEXNLAsYBnQFmgK9zKxpAf/20hDCbsCdwJDE8ZXANcClBVz6PqAvsHvi1qUw8YhszHPPwV13+ayXI47Y/Pki6apUKV+yMmwYTJoEBx/sG0KIyGa1CyGMDCF8ApwI/K/s97bOqFd/SlJB7iZC//mP1/2qXTt2RCLx1K4NL78MPXrAhRfCpZfC+vWxoxKJIxkTYNOA1SGEL0MIT4QQcncl+tbMuhZwfmHfvq2BeSGEr0MIq4FxQI985/QAHk48ngB0MjMLIawIIbyJd9z+x8y2B6qGEN4JIQRgDNCzkPGI/MU33/guRfvuC//6V+xoRJLD3//uxVy/+ALatIHZs2NHJJL0DjCzF8zsUXww8e95ntvWGfXqT0nSe+ghGDcOBg2Cdu1iRyMSX8WKMGGCLwW+/XY45hjNrJfMlIwJsIOAj8zsn2Z2lJk1ShzvD/Q3s0cSxw82s5uAzwt53frA/DxfL0gcK/CcEMJa4Feg1mauuWAz1xQplNWr4cQTfURm/HgoVy52RCLJ4/DD4fXXvRbYQQfB1KmxIxJJav/CZ9PvEEJYj28ulGubZtSj/pQkuY8/9lkuhx7qJSVExGVl+aYQQ4f6wGK7djB//uZfJ5JOSscOIL8Qwv5mdjXwFrAX0A04O4SwFOhqZgcDnYB6wCzy7RK5CQWt/M+/t1hhztmq882sLz61n3r16pGTk7OJy2au5cuXZ2zb3Hffrkyf3pDrr5/L/PmLSvwPUia3fUxq9y1z113lGDjwb3TpUokLLviSnj23fk2k2j4etX2xWxZCWJanjFbZPM99a2ZdQwiT872msDPq1Z9KAZn6HvvjjyzOOWdfKlXK4txzZ/L662tK9N/P1HZPBmr7wttrL7jpppoMGtSUli3XMXjwHPbcc9lWX09tH4/afsslXQIs4bIQQlXg1fxPJHaFfH0rrrkAaJjn6wZA/k9OuecsMLPSQDVgyWau2WAz1wQghPAgiRHYVq1ahezs7C2JPWPk5OSQiW3zwgvwxBM+Lfm665pFiSFT2z42tfuW69IFeveGoUP3YPXqPRg6FMqU2fLrqO3jUdsXu1FmNhaobmYHAHnfIf2Bx8ysN/A08DNeb6uwM+rVn0oBmfgeCwFOPRUWLoRXXoHs7ANLPIZMbPdkobbfMtnZ0L07HHFEaS6+eF9GjfKVKFtDbR+P2n7LJeMSSCh4JHBbzQB2N7NGZlYWLwo7Md85E4E+icfHAtMStSgKFEL4HlhmZm0SuxWdCjxX9KFLOvvPf7zDtvfeXvBbRDatalXfLOKyy+C+++Cww+Dnn2NHJZI8QgiPAp/iCa6jgDPyPLc0hNAVeAhf9tgb+BY4r5CXV39KktLo0b578HXX+Yd7Edm0Zs1g+nRo1Qp69YLrr/dEskg6S9YZYEX+1gshrDWzfsAUIAsYGUKYa2aDgJkhhInACOARM5uHj1T+Lw9uZt8AVYGyZtYTODSxu9J5wGigAjA5cRMplJUr4dhj/Y/NhAlQvnzsiERSQ1YWDBkCzZvDWWdB69aeFGvePHZkIkkjdzZ9gbZ2Rr36U5KMPvzQN0zp2BGuuip2NCKpo04d3yHy3HPhhht8o6HRo6FKldiRiRSPZE2AlTazDmxiJlj+HYwKI4QwCZiU79i1eR6vBI7byGt33sjxmYA+cslWueAC+OADeP552GWX2NGIpJ5TToHdd4ejjvIdIkeNguMK/C0uknGKYzY9oP6UJJclS+Doo6FWLXj8cR8gEZHCK1cORo6Ev/3NZ9fvvz888ww0bhw7MpGil6wJsJ+AkZt4PgBKF0hKGzkShg/3kcru3WNHI5K62rSB99/3xNfxx8OAAXDTTVA6Wf/CiZQMLWSRtLd+PZx8MixY4DsF160bOyKR1GQGF1/sJVlOOAH22w8eeQR69IgdmUjRSsqPBxsbHRRJF7Nm+VT9Tp18urGIbJsddoBXX4WLLoJ//csTYuPG+dR+kQxVLLPpRZLJoEEwebLXg2zTJnY0IqmvQwfvQx19NPTsCVdf7bXBNLNS0kVSJsBE0tmSJXDMMf7BXFP1RYpO2bJw770+anneedCypb/HDj44dmQiUWg2vaS1F1/0QcQ+feCcc2JHI5I+GjaEN97w3ekHD4aZM2HsWKhZM3ZkItsuWXeBFElLa9f6tOIFC+DJJzU7RaQ4nH46vPMOVKrkI5mDB8O6dbGjEilZIYSdQwiNNnFT8ktS1ldf+dLHli199pcVW8U7kcxUvryXanngAXjlFdhnH3j33dhRiWw7JcBEStCll/pOK/ffr6n6IsVp7719Cv+JJ8I118Bhh8EPP8SOSkREttWKFT6T3gyefhoqVIgdkUh6MoO+feHNN/1xu3Zw221ee08kVSkBJlJCRoyAoUO9RtEZZ8SORiT9VakCjz7q772334YWLTwBLSIiqWn9ejj1VJg9Gx57DBo1ih2RSPpr3drrFx95pG80dMQRsHhx7KhEto4SYCIl4M03vSZR585eoFtESoaZJ5xnzIDateHQQ72g69q1sSMTEZEtdd11PuvrttugS5fY0YhkjurVYcIEGDbMBxNbtvSdV0VSjRJgIsXsv//1nVR22gnGj4fS2npCpMQ1a+ZJsNNPhxtvhI4dYdGicrHDEhGRQnr8ca/peOaZPpteREqWme9i/+67vvS4QwffiGLdOhXhk9ShBJhIMVqxAnr0gFWr4PnnoUaN2BGJZK6KFX055COPwAcfwFlnteLFF2NHJSIim/Peez6bt1073+1XRe9F4tl7b+9H9e4N118P/frtzRdfxI5KpHCUABMpJiH4bJOPPoJx46BJk9gRiQj4zmEffAB16qyie3c4+2xYtix2VCIiUpCFC6FnT9huO3jqKShbNnZEIlKlig8ojh8PCxdWYO+9fZOvEGJHJrJpSoCJFJOrroInn4QhQ6Br19jRiEhee+wB9977AQMGwMiRvr3322/HjkpERPJatswLby9b5jPp69SJHZGI5HX88TBixAwOOsjrHXfvrl23JbkpASZSDB54AG6+2bcOvvTS2NGISEHKll3PrbfCa6/BmjVw0EHQr59mg4mIJIM1a+C443wm/fjx0Lx57IhEpCB16qzmpZfg//4Ppk3z9+oTT2g2mCQnJcBEitgLL3iByG7dfKcU1akQSW4HHQRz5sAFF3htmaZNUW0wEZGIQoBzzoEpU3xZVbdusSMSkU0xg/PPh1mzYJdd4IQTfBOw776LHZnInykBJlKEZs70X/h7760dH0VSSeXKMHSoL4OsVs2n8PfqBT/9FDsyEZHMc8MNMGoUXHstnHVW7GhEpLCaNPG+1L/+BS+95IOKI0ZoNpgkDyXARIrIl1/C4YdD3bo+C6xy5dgRiciWatPGC+QPGgRPPw177gljxqjjJiJSUoYP9wTY6af7DnMiklpKl/YSMLNnQ8uWnsQ+5BD4+uvYkYkoASZSJBYsgM6dYf16mDzZdyoSkdRUtixcc41P42/SBPr0gcMOg//8J3ZkIiLpbeJEOPdc/537wAMqIyGSynbbzWuCPfAAzJjhtcFuvhlWr44dmWQyJcBEttHixXDoobBkiU/1bdIkdkQiUhSaNoU33vBafu+84x23O+6AdetiRyYikn5eftmL3u+7r++iXaZM7IhEZFuVKuWbgn3yCXTpAldeCXvtBa+8EjsyyVRKgIlsg99+g65dfUrv8897p01E0kepUr6pxSefQMeOcMkl0Lo1vPVW7MhERNLHW29Bjx4+iDh5MlSpEjsiESlKDRp4aYlJk2DtWl8SecIJsHBh7Mgk0ygBJrKVfv/dO2uzZvlIZfv2sSMSkeLSsKEvzRk3Dn780XeOPPlk7W4kIrKtPvjAd3ls0AD+/W+oWTN2RCJSXLp29Z23b7jB+1VNmnjB/FWrYkcmmUIJMJGt8PvvcMQR8Npr8PDD/lhE0puZj1Z+/jlcfbUnvvfYA/75T/+dICIiW+aTT7zeV40avgSyXr3YEYlIcStf3nd4nTsXsrPhsst806Enn9SmQ1L8MioBZmZdzOxzM5tnZgMLeL6cmY1PPD/dzHbO89wVieOfm9lheY5/Y2azzexDM5tZMt+JxJSb/Hr1VU9+nXRS7IhEpCRVquRJr08+8ZHMa6/1RNgjj/hGGCLpTv0pKQqzZ/uH3zJlPPnVsGHsiESkJO2yi5eQmTIFKleG44/3GfbTp8eOTNJZxiTAzCwLGAZ0BZoCvcysab7TzgSWhhB2A+4EhiRe2xQ4EWgGdAHuTVwvV4cQQssQQqti/jYksvzJr1NOiR2RiMSy664+Wvn667D99nDqqbDffjB1auzIRIqP+lNSFD78EDp08F13c3J8tzgRyUyHHuolZR56CL76Ctq0gV69tPu2FI+MSYABrYF5IYSvQwirgXFAj3zn9AAeTjyeAHQyM0scHxdCWBVC+A8wL3E9ySArVmxIfo0Zo+SXiLh27Xy08tFH4eefvSPXqZNGMCVtqT8l2+T9931TkYoVvZTEHnvEjkhEYsvKgrPOgi+/9DITzz3nvxvOO0+F8qVoZVICrD4wP8/XCxLHCjwnhLAW+BWotZnXBuDfZva+mfUthrglCSxZAp07+yjlmDFe/FpEJFepUr4c+vPP4a67fGlPmzZw5JHw0UexoxMpUupPyVZ7910fIKhWzZNfu+4aOyIRSSZVqniZiS+/hLPPhhEj/PfExRfDTz/Fjk7SQenYAZQgK+BY/jJ7GztnU689MITwnZnVBaaa2WchhNf/8o97Z64vQL169cjJySl04Jlk+fLlSdc2ixaV5bLLWrBwYQWuu+4TGjRYTJKFWCSSse0zgdo9nuJq+xYt4OGHs3jqqfqMG7cjzz9fmuzsnzjppG/ZbbcVRf7vpSL93Kc09adSQDK+x959tyY33NCMmjVXc8stH/Ltt6v49tvYURWtZGz3TKG2j6e42v7446Fdu/KMGbMTQ4dux333reeYYxZw/PHzqVp1bZH/e6lIP/dbLpMSYAuAvOU1GwD5N7DPPWeBmZUGqgFLNvXaEELu/U9m9gw+lf8vHbYQwoPAgwCtWrUK2dnZ2/4dpaGcnBySqW2++AL69IGlS71AY4cOzWOHVGySre0zhdo9nuJu+65dfWvv22+Hu++uS05OXbp1g2uu8dlhmUw/9ylN/akUkGzvsdGjfVlTixYwaVIF6tVrGzukYpFs7Z5J1PbxFHfb9+rlM+yvvz6LsWN34tlnd+Lcc31W2A47FNs/mxL0c7/lMmkJ5AxgdzNrZGZl8SKsE/OdMxHok3h8LDAthBASx09M7GrUCNgdeM/MKplZFQAzqwQcCswpge9FSsDMmb4TyR9/+NLHDh1iRyQiqaZGDRg8GL791u+nT4e2beGQQ7yeoLb7lhSk/pQUWghwyy1w+unej8rJgXr1YkclIqmmcWN4/HEvMdGzp5ebaNQI+vaFefNiRyepJGMSYIkaFP2AKcCnwBMhhLlmNsjMjkycNgKoZWbzgIuBgYnXzgWeAD4BXgLODyGsA+oBb5rZR8B7wIshhJdK8vuS4jFhAhx8MFSqBG++CfvsEzsiEUllNWrAVVfBN9/AbbfB3LleBLptW99Jcq1m8kuKUH9KCmvNGujXD664Ak48EV580ev7iIhsrebNfdOhL76AM87w2syNG/sssZkzY0cnqSCTlkASQpgETMp37No8j1cCx23ktTcCN+Y79jXQougjlVhCgJtu8mn6BxwAzzwDdevGjkpE0kXlynDJJXD++TByJNxxh9e42HFH+PvffQekWrViRymyaepPyeYsWQLHHQfTpsGll8KQIb5ZiIhIUdhlF7jvPrj2Wp8Ndu+9MG6cf3678EI4+mgonVGZDiks/SkSSVi5Ek45xZNfJ58Mr7yi5JeIFI/y5T3h9fnn8OyzsNtuMHAgNGjgSTDtHCkiqerTT2H//X0G/ahRXgtRyS8RKQ7bb+8J9gUL4M474Ycf4IQTfHnkLbfAzz/HjlCSjf4cieDLktq1g7Fj4cYbfTpt+fKxoxKRdJeVBT16eMJ99mzfdOOxx6BlS2jf3utdrFwZO0oRkcKZONE3+fjtN5/9ddppsSMSkUxQrRpcdJEvjZw40ZdFXnGFDyz26eMJedVdFVACTIQXXvAaX19+6TMxrrwSrKCN2kVEilHz5nD//bBwodcJmz8feveG+vXhsst8VoWISDJaswYGDPCE/q67wnvvwYEHxo5KRDJNVhYccQS8/LIPLJ52mpe0adcOmjb1nbkXLYodpcSkBJhkrLVrfWTgiCNg553hgw+84yYiElONGl4nbN48+Pe/fee0O+7wjtv++8NDD8Gvv8aOUkTEzZ8P2dmeuD/vPHj7bdhpp9hRiUima97c64R9/73XXa1Rw2sS1q/vyyQnTfLkvWQWJcAkI33xhY9M3nKLb5/79tteTFFEJFmUKgWdO/uutAsW+Kjl8uX+O6tePTj2WB/VXLUqdqQikqmeegr23hs+/tiXbN97r0pIiEhyqVQJTj/dP+/Nnu01WF9+GQ4/3JNhF1wA776rJZKZQgkwySgh+EjA3nv7ksdx4+CBB9RZE5Hktt12cPHFMGcOTJ8O55wDb7zhuxzVq+f1LV54QckwESkZS5f6hkHHHuuz6N9/H048MXZUIiKb1ry57xr53Xde+iY7G4YPh7ZtYffdfVdJlZxIb0qAScb45hvo2tWz/gcd5CMAJ5wQOyoRkcIzg9atYehQrxU2eTIcdZQXfD3iCN+59tRT/WsVzxeR4jBlCvztbzB+PFx/PbzzDuyxR+yoREQKr1w5L33zxBPw44++Y22jRr4ZWtOmsOeecNVVMHOmZoalGyXAJO2tXet1KZo18x1A7rkHXnrJp7yKiKSq0qWhSxfvtP34o9eyOOYYnwnWo4cnw447zne31TbgIrKtvv8eevXy3zvVqvmSoeuugzJlYkcmIrL1qlb1YvlTp3rJif/7P/+cOGQI7Lefz3K98ELIyfHPlZLalACTtDZ9uv/iGjAAOnWCTz6Bfv20y6OIpJeyZX2G68iRngx76SU4/nhP+p98sifD2rXzztzcuRrNFJHCW7fOBw+bNIGnn/ak1/vvw777xo5MRKRobb89nH++1wjLnRnWsqWXzOnQAWrX9qXfI0b4THxJPUqASVr65hsfpWzTBn76yYu0Pvcc7Lhj7MhERIpXmTJw2GFe02LhQp+lcdVVsGIFDBzo9S922QXOOMPrIC5ZEjtiEUlWU6d6oqt/f9+Fds4cX/ao2qkiku5q1fKZYc89B4sX+6ZExx7ry77POgsaNIAWLbxv9eqrKj2RKpQAk7Tyyy9w2WXQuLH/srr6avjsMy8UrVlfIpJpSpXyD62DBsEHH8D8+T6KuddeXiesVy/v4DVrBv/4x4ZOnohkto8+8kT6oYfCr796snzKFC8SLSKSaSpX9jITw4f7MsmPPoJbboGaNX2X7o4doXp1L6p/ww3w2mvamChZlY4dgEhRWLLEi0LffbcnwU491YsYNmgQOzIRkeTRoAH07eu3devgvfdg2jR4/XXfIfeuu/y8xo3hgAPgwAP91rixBhFEMsGcOXDTTZ7wql4d7rjDNw8qVy52ZCIiycHMBxL32gsuvxx++837UTk5PhPshhs2zJRt2xbat/f71q3996rEpQSYpLRFi/wD2z33wLJl0LOnb1+7996xIxMRSW5ZWd4ha9vWl0iuXAkzZsBbb/ntuee89gX4LLG8CbFWrbQESiSdfPABDB4MzzzjMx0uu8w/2NWoETsyEZHkVrUqdO/uN/DJGLkJsZwcT4iF4ImzPff0Ej1t2/r9nnt6f0xKjhJgkpJmzfKk12OPwerVvh776qs9Ey8iIluufHkvlN+unX+9fj18/vmGhNhbb8Hzz/tzWVneadt/fx/RbNoU/vY33xlORFLD2rWe6L7nHl+uU726F7jv39+X9YiIyJarXh2OPNJv4DPE3nvPa7K++67/3h050p+rUsUnbrRs6fd77+19Ku2uW3yUAJOU8fvv8OyzvkznzTehYkUvTNi/v/+iEBGRolOqlCe59tzTi72Cbyry9tvekfvwQ98RbsSIDa/ZZRcvCNuihXfm/vY33z68lCqOiiSNhQth9Gi4/36vZbPzznDrrXDOOT6TQUREik7VqnDIIX4Dnw02b96GhNisWV5b7Pff/fmyZb02a25irFkz74ttt53KURQFJcAkqa1f71NIx4zxnTeWLfMPWLffDqefrqn5IiIlqW5dX2res6d/vX49fPstfPqpJ8Q++shvzz7rHTyAChU2JNKaNPF6YsuWVaJNGy2jFCkpy5d7wnrMGK/7F4IXuL/3XujWTUtwRERKiplvKLL77nDKKX5s3Tr48kvvS82a5beJEzfMFAOfWda0qfencu9//bUc69droHFLKAEmSWfNGp+K/9xzfps/3+tRHHecF7c/+GC9yUVEkkGpUtCokd+6ddtwfMUKmD0b5s71otqffOIzd8eOzT1jP84+e8NrmzXzWSg77ugdwl139Vm+IrL1fv4ZXnzR+1IvveSzC3bZBa65xj907bZb7AhFRAR8EKJJE7+deKIfCwG+/94HGT/5ZMP9xIl5Z9+35bTTvC+1665/vTVqpE1M8lMCTJLCt9/6rhmPPLIn77/vW25XqACdO8OQIdCjhz4MiYikikqVvLhrmzZ/Pr5ihY9wPv30J5g15dNP4Ztv4MEH4Y8//nxunTqw006eFMu9NWwIO+wA22/vN80gE9lg3TqfNTBtGjz+eAtmz/ZjO+wAffrASSf5ZhZaQiMikvzM/Pf3DjtAp05/fm7xYk+IPfvs52RlNearr+Crr3wSyfLlf75G/fob+lAF3erWzay/C0qASYlbvx6++MJ3G3v9de+off21P1e9eg2OPtoTXp07K+klIpJOKlXyeha//PIT2dkbijeG4LNVvv3WE2RffeWP58+Hzz6DKVM8eZZf9eqeCMubFCvoVqVKCX6TIiXkjz884TV9uu809tprPoAI0KhRGQYO9P7Uvvtq5ryISDqpXds3LVq37nuysxv/73gIsGgR/0uIffWVf86ePx/ef99LVKxa9edrlS0LDRp4omy77aBePb/lPs57LB1mkykBJsXqjz882fXpp95JmzEDZs70Wl7gH16ys+HCC6FjR1i06G06dMiOGbKIiJQwM+/M1a7tH9bzCwGWLoX//teXAxR0e/NNv8/fsQNPvG23nf/NqVXLb7Vrex3J6tU3fl+lSmaNikryyh3tnzvXP8TMmOHLi9et8+d33RWOP977UtnZ8NlnM8nOzo4ZsoiIlDAzn9FVty60bfvX53MTZPPn//X2/ffw8cfw44/wyy8FX796dU+E1arluwUXdJ//WKVKydWXyqgEmJl1AYYCWcDwEMIt+Z4vB4wB9gV+Bk4IIXyTeO4K4ExgHdA/hDClMNdMdyH4G+S///XR+v/+15ezfPop/1vaklsIuWxZ3xnslFNgv/381qTJnwuv5uRE+CZERCSpmXknqmZNn0G2Mbl/k7777q8Jsh9/9Nkxixf7iOjPP2+8g5erVKmCE2OPPw6lM6oH9WfqTxW9devghx/+3J/66qsN/anFizecW7MmtGoF3btv6E/tsMOfr/fZZyUbv4iIJL+8CbKCBhxzrVzpO3//8IP3n/Le//ST96EWLPCNj5YsKXiWfq7SpaFatQ236tX9vn17uOiiov8eNydjum9mlgUMAzoDC4AZZjYxhPBJntPOBJaGEHYzsxOBIcAJZtYUOBFoBuwAvGxmeyRes7lrpox163zN8LJlf779/LNnivPefvrJb/Pn/3mdMXhNlj32gNatveZE7u5fe+yRHtMmRUQkOZl5kqpGDWQgbLMAACAASURBVC+svznr1sFvv3kibOnSgu/zH/vpp4xPfqk/tRmrV/+1L/Xbb3/tS+XefvjBP0isWfPn69Sq5QOFPXtu2PFrzz29lksyjaaLiEh6KV9+Q/3Vwli1yhNhP//81/tffvEByNz7X3/1AZ6ddire72FjMqkL1xqYF0L4GsDMxgE9gLydqx7A9YnHE4D/MzNLHB8XQlgF/MfM5iWuRyGuWWK+/x7uvNN/AFev3vh93sd//LGhc7apzG2umjW9MHGdOt4p69x5Q5Hi3PtMK6QnIiKpKStrQ8KsUaPY0aSMtO9PTZ3qdec215/Ke79ixYb+1OrVm75+6dIb+lJ16vgylbz9qJ128sLEVauWzPcrIiKyLcqV21B3NdllUgKsPjA/z9cLgP03dk4IYa2Z/QrUShx/N99r6yceb+6aAJhZX6AvQL169cgphrV+335bkaFD96VMmUCZMusTN39cuvRfj1Wtup7atddTocI6KlbMva2lQoV1fzpWteoaqldfTbVqa8nKChv991es2DBVf2stX768WNpGNk9tH4faPR61fTxq+5SW9v2p8eN3ZOzYnf7Ubypdev2f+lelSwfKll1P2bKBSpXWs8MOf+47VaiwNk/fyvtX1aqtoUaNNVSqtHaTA4W5M8O2hd5jcajd41Hbx6O2j0dtv+UyKQFWUFcjfzZnY+ds7HhBe+oUmCEKITwIPAjQqlWrUFyFSfv0KZbLlpicnBwVbY1EbR+H2j0etX08avuUlvb9qexsGD4cvBxZatJ7LA61ezxq+3jU9vGo7bdcJm2KvABomOfrBsB3GzvHzEoD1YAlm3htYa4pIiIiki7UnxIREZGUlEkJsBnA7mbWyMzK4kVYJ+Y7ZyKQO4fqWGBaCCEkjp9oZuXMrBGwO/BeIa8pIiIiki7UnxIREZGUlDFLIBM1KPoBU/A57SNDCHPNbBAwM4QwERgBPJIoyroE74CROO8JvBjrWuD8EMI6gIKuWdLfm4iIiEhJUH9KREREUlXGJMAAQgiTgEn5jl2b5/FK4LiNvPZG4MbCXFNEREQkXak/JSIiIqkok5ZAioiIiIiIiIhIBjIvySAlycwWAd/GjiNJ1QYWxw4iQ6nt41C7x6O2j0dtv3E7hRDqxA4iFag/tUl6j8Whdo9HbR+P2j4etf3GFdifUgJMkoqZzQwhtIodRyZS28ehdo9HbR+P2l6keOk9FofaPR61fTxq+3jU9ltOSyBFRERERERERCStKQEmIiIiIiIiIiJpTQkwSTYPxg4gg6nt41C7x6O2j0dtL1K89B6LQ+0ej9o+HrV9PGr7LaQaYCIiIiIiIiIiktY0A0xERERERERERNKaEmAiIiIiIiIiIpLWlACTaMysuplNMLPPzOxTM2trZjXNbKqZfZm4rxE7znRkZv8ws7lmNsfMHjez8mbWyMymJ9p+vJmVjR1nOjCzkWb2k5nNyXOswJ9zc3eb2Twz+9jM9okXeerbSNv/K/E752Mze8bMqud57opE239uZofFiTo9FNT2eZ671MyCmdVOfK2fe5FtoP5UPOpPlRz1p+JQXyoe9aWKhxJgEtNQ4KUQQhOgBfApMBB4JYSwO/BK4mspQmZWH+gPtAohNAeygBOBIcCdibZfCpwZL8q0Mhroku/Yxn7OuwK7J259gftKKMZ0NZq/tv1UoHkIYS/gC+AKADNrir8PmiVec6+ZZZVcqGlnNH9te8ysIdAZ+G+ew/q5F9k26k9FoP5UiRuN+lMxjEZ9qVhGo75UkVMCTKIws6rAwcAIgBDC6hDCL0AP4OHEaQ8DPeNEmPZKAxXMrDRQEfge6AhMSDyvti8iIYTXgSX5Dm/s57wHMCa4d4HqZrZ9yUSafgpq+xDCv0MIaxNfvgs0SDzuAYwLIawKIfwHmAe0LrFg08xGfu4B7gQuA/LuwKOfe5GtpP5UdOpPlRD1p+JQXyoe9aWKhxJgEssuwCJglJnNMrPhZlYJqBdC+B4gcV83ZpDpKISwELgNHzX4HvgVeB/4Jc8fswVA/TgRZoSN/ZzXB+bnOU//D8XrDGBy4rHavpiZ2ZHAwhDCR/meUtuLbD31pyJRfyopqD8Vn/pSJUh9qW2nBJjEUhrYB7gvhLA3sAJNzy8RifoIPYBGwA5AJXzabH6hgGNSvKyAY/p/KAZmdhWwFhibe6iA09T2RcTMKgJXAdcW9HQBx9T2IoWj/lQk6k8lNf1dKQHqS5Us9aWKhhJgEssCYEEIYXri6wl4B+7H3OmaifufIsWXzg4B/hNCWBRCWAM8DRyAT5UtnTinAfBdrAAzwMZ+zhcADfOcp/+HYmBmfYDuwEkhhNzOgdq+eO2Kf0j8yMy+wdv3AzPbDrW9yLZQfyoe9afiU38qEvWlolBfqggoASZRhBB+AOabWePEoU7AJ8BEoE/iWB/guQjhpbv/Am3MrKKZGRva/lXg2MQ5avvitbGf84nAqYmdXNoAv+ZO7ZeiYWZdgMuBI0MIv+d5aiJwopmVM7NGeBHR92LEmI5CCLNDCHVDCDuHEHbGO2r7JP4W6OdeZCupPxWV+lPxqT8VgfpScagvVTRsQ8JWpGSZWUtgOFAW+Bo4HU/KPgHsiHcsjgshFFT8T7aBmd0AnIBPW54FnMX/s3ff8XJU9f/HX5/0RihJCPWb0ALSS6iKBpAmiihKE5GOWFBAf0oHASsSigLSpUgVMPQmwaBJILRACJCQkAbpvSf3fn5/nJ3s7N7Z3dl7997de/N+Ph772J2ZM2fOzO69e/Yzp4R+4g8CG2TWnejuK6pWyDbCzB4ABgG9gRnAZcATJHzOMxXovxBmfFkKnOLuo6pR7ragwLW/AOgMzMkkG+HuP8ykv4gwlsVq4Ofu/mx+npJO0rV39zti2z8lzJw2W597kaZRfap6VJ9qOapPVYfqUtWjulTzUABMRERERERERETaNHWBFBERERERERGRNk0BMBERERERERERadMUABMRERERERERkTZNATAREREREREREWnTFAATEREREREREZE2TQEwERERERERERFp0xQAExGpEjP7npm9aWbzzWyumQ01s02rXS4RERGR1kB1KREpR4dqF0BEZG1kZicDFwPHAm8BvYCjgHlVLJaIiIhIq6C6lIiUy9y92mUQEVnrmNkwYIi7/6naZRERERFpbVSXEpFyqQukiEh1LANONbNjzKx3tQsjIiIi0sqoLiUiZVEATESkOk4CngeuAWaY2ZNmtmGVyyQiIiLSWqguJSJlURdIEZEqM7M9gMeAR939/GqXR0RERKQ1UV1KRNJQCzARkSpz9zeB94Du1S6LiIiISGujupSIpKFZIEVEWpiZ/RoYBozKrDoeGAQcVK0yiYiIiLQWqkuJSGMoACYi0vJ6AncBmwBLCFN3H+TuI6taKhEREZHWQXUpESmbxgATEREREREREZE2TWOAiYiIiIiIiIhIm6YAmIiIiIiIiIiItGkKgImIiIiIiIiISJumAJiIiIiIiIiIiLRpCoCJiIiIiIiIiEibpgCYiIiIiIiIiIi0aQqAiYiIiIiIiIhIm6YAmIhIAWZ2i5ldEls+28xmmNliM+tlZl80s3GZ5aOqWVYRERGRSjCzQWY2tQn759SfWpLqbiJSjLl7tcsgIlIVZvYp0BdYDdQBHwD3ALe6e31e2o7AQmAfd383s+5lYIi7X9+S5RYREREpJlbHqQMWA88BP3H3xSn2HQTc5+6bpUh7MnC6u3+pKeVNo5x6Wya96m4ikkMtwERkbfcNd18H6Af8HvgVcEdCur5AF2BMbF2/vOXUzKxDY/YTERERSekb7t4D2BXYDbigyuWphLT1NlDdTUTyKAAmIgK4+wJ3HwIcC/zAzHY0s7vN7CozGwB8lEk638z+bWafAFsCT2aa0Xc2s3XN7A4z+9zMpmX2bQ/hDqmZ/dfMBpvZXODyzPpTzWysmc0zs+fNrF9UJjNzM/thpqn+PDP7q5lZbPsZmX0XmdkHZrZ7Zv0mZvZPM5tlZhPN7JzYPnuZ2SgzW5jpEnBt815ZERERqSZ3nw48TwiEAZCpt1xjZpMz9YFbzKxr0v5m9msz+yRW3/hWZv0XgFuAfTN1ofmZ9Xeb2VWZ12PN7OuxvDqY2exYnWUfM/ufmc03s3czrc/SnFODelv82Kq7iUgSBcBERGLc/XVgKrB/bN3HwA6ZxfXc/UB33wqYTObuqruvAP5OaJa/NeFO6yHA6bHs9wYmABsCV2fGnrgQ+DbQBxgGPJBXpK8DewK7AMcAhwKY2XcJFbGTgJ7AkcAcM2sHPAm8C2wKHAT83MwOzeR3PXC9u/cEtgIebtSFEhERkVbBzDYDDgfGx1b/ARhACIptTagzXFogi08I9aJ1gSuA+8xsY3cfC/wQGJ6pC62XsO8DwPGx5UOB2e7+lpltCjwNXAVsAPwC+KeZ9Ul7bkn1tsx61d1EpAEFwEREGvqMUBFLzcz6EiqXP3f3Je4+ExgMHBfP191vdPfV7r4MOAv4nbuPdffVwG+BXeN3EoHfu/t8d58MvEL27u3pwB/d/Q0Pxrv7JEKFq4+7/8bdV7r7BOC2WDlWAVubWW93X+zuI8o5TxEREWk1njCzRcAUYCZwGUCmRdIZwLnuPtfdFxHqIMclZeLuj7j7Z+5e7+4PAeOAvVKW4R/AkWbWLbN8QmYdwInAM+7+TCbvF4FRwNfKPM+y622gupvI2kgBMBGRhjYF5pa5Tz+gI/B5phn/fOBvhDuGkSkJ+1wfSz8XsMzxI9Njr5cCPTKvNyfckU0qxyZRnpl8LySMgwFwGuGO74dm9ka8W4KIiIi0KUdlxssaBGwH9M6s7wN0A96M1RWey6xvwMxOMrN3Yml3jOVVlLuPB8YC38gEwY4kGwDrB3w3r87yJWDjMs+zMfW26Piqu4msRTSQn4hIjJntSajEvEZo9p7WFGAF0DtzRzBJ/rS7U4Cr3f3+sgsa9t2qwPqJ7r5NYgHcxwHHZ5rbfxt41Mx6ufuSRpRBREREapy7v2pmdwPXAEcBs4FlwA7uPq3YvpmWTbcRuuUNd/c6M3uHEPSBhnWbJFE3yHbAB5mgGIQ6y73ufkaZpxQvX7zeVi7V3UTWMmoBJiICmFnPzB21BwlTf79Xzv7u/jnwAvDnTF7tzGwrM/tKkd1uAS4wsx0yZVg3Mz5EGrcDvzCzPSzYOlNJfR1YaGa/MrOuZtbewoD+e2aOcaKZ9clMFz4/k1ddOecqIiIirc51wMFmtmumDnAbMNjMNgQws01jY07FdScEgWZl0p1CaAEWmQFsZmadihz7QcLYWmeTbf0FcB+hZdihmfpKFzMblBmzrKim1ttAdTeRtZECYCKytnsyNj7GRcC1wCmNzOskoBPwATAPeJQizfjd/XHCILQPmtlC4H3CWBQlufsjwNWEiuQi4AlgA3evA75BGG9iIuEu7+2EgWsBDgPGmNliwqCqx7n78vJOU0RERFoTd58F3ANckln1K8Kg+CMydZCXgG0T9vsA+DMwnBDs2gn4byzJv4ExwHQzm13g2J9n9t8PeCi2fgrwTUJ3v1mEutgvKf4btZL1NlDdTWStYu5pWq2KiIiIiIiIiIi0TmoBJiIiIiIiIiIibZoCYCIiIiIiIiIi0qYpACYiIiIiIiIiIm2aAmAiIiIiIiIiItKmKQAmIiIiIiIiIiJtWodqF2Bt1Lt3b+/fv3+1i1GTlixZQvfu3atdjLWSrn116LpXj6599ejaF/bmm2/Odvc+1S5Ha6D6VGH6G6sOXffq0bWvHl376tG1L6xQfUoBsCro378/o0aNqnYxatLQoUMZNGhQtYuxVtK1rw5d9+rRta8eXfvCzGxStcvQWqg+VZj+xqpD1716dO2rR9e+enTtCytUn1IXSBERERERERERadMUABMRERERERERkTZNATARERERaTZmdqeZzTSz9wtsNzO7wczGm9loM9u9pcsoIiIibZ8CYCIiIiLSnO4GDiuy/XBgm8zjTODmFiiTiIiIrGUUABMREWmLPvoI9tsPFi6sdklkLefu/wHmFknyTeAeD0YA65nZxi1TOhEREWlRRx4J551XlUMrACYiItIWXXwxDB8Ozz9f7ZKIlLIpMCW2PDWzTkRERNqaceNg2rSqHLpDVY4qIiIiIhJYwjpPTGh2JqGbJH379mXo0KHNWKzWa/Hixbo2VaDrXj269tWja189rfXa77VkCYtmz2ZsFcquAJiIiEhb5InxA5FaNBXYPLa8GfBZUkJ3vxW4FWDgwIE+aNCgZi9cazR06FB0bVqernv16NpXj6599bTaa9+pE9022oi+VSi7ukCKiIiISDUNAU7KzAa5D7DA3T+vdqFERESkGdTXQ/v2VTm0WoCJiIi0RZbUq6wG3HAD27zyCrTGO5bSKGb2ADAI6G1mU4HLgI4A7n4L8AzwNWA8sBQ4pTolFRERkWZXXw/tqtMWSwEwERGRtqhWu0D+7Gca3Xwt4+7Hl9juwI9bqDgiIiJSTVUMgKkLpIiIiIiIiIiIND8FwEREREREREREpCZNmgRnngmrVjUtHwXAREREpFnU6lhgIiIiItJ6nHoq3HYbDB3atHwUABMRkap75hm4665ql0IqrVbHAhMRERGR1iO6qVqobnneeXDFFaXzUQBMRESq7ogjwp2d1mq99WC//apdChERERGRtqdUAGzwYLj88tL5KAAmIiLSRAsWwPDh1S5F7VEXSBERERFpqlIBsMhJJ8E22xTeXsUAWIeqHFVERESal7o+ioiIiEilpA2A3Xtv8e11dWoBJiIiIiIiIiIiNShtAKyU+npo377p5WkEtQATEREREREREZHCCgXA6uvh9tvT56MxwERERMowcSIccEAY90uK0xhgIiIiItJUhQJg//gHnHVW6f2nT4f994elSxUAExERSe3yy2HoUHj88WqXpPaVaqY+ZUqo0Dz8cMuUR0RERESaZr/92PDll1v2mPkBsCVLYOed4emn0+3/17/Ca6+F1wqAiYiIpKRWTZXz7rvh+e9/r245RERERCSd4cPZ/qqrWvaY+QGwkSPhvffgwQeT0w8dWjgvBcBERESk4tIGCxVUFBEREZFC8gNgc+YUT3/AAaGVWCTeK0EBMBERkTI1dRYaydK1FBEREal91aqz5QfAFi0qvc/q1cnrFQATERFJqVLTMItafomIiIi0Ji1d/332WZg2rWH9u3370vsWKqsCYCIiIgW4w/jx2WUFbSpHQUQRERGR1qOl625f+xrsuWfDAFiHDqX3HToUorHKWlMXSDPra2bfN7NrzOz2zPP3zWyj5iygiIgI11wD22yTHbA9ouBN5TRXUNEMvv/95slbWgUzO8zMPjKz8Wb264TtJ5vZLDN7J/M4vRrlFBERaRXq61v+mJ9/3jAAlqYe/q1vwSWXNFxfqwEwM/uCmT0KfAB8H+gITM88fx8YY2aPmtn2zVpSERFZew0bFp4//TQ8qwVY63LffdUugVSJmbUH/gocDmwPHF+gzviQu++aedzeooUUERFpTVryBnA82NaYAFhk6dLc5TTdJ5tBijZr3A38Cfieu6/I32hmnYBvAncA+1a0dCIiInH5gS+1ACtM10Zqw17AeHefAGBmDxLqjR9UtVQiIiKtVUvU8dxh8GA49tjsuqYEwGbProkukCUDYO6+d4ntK4FHMg8REZHKi74woy9etQCrHAXK2iQz6wscAuwCrAfMB94FXnT36S1YlE2BKbHlqUBS3fJoM/sy8DFwrrtPSUgjIiIiLdEF8u234fzz4V//yq6LZnRsTAAsf8bIWg2AAZjZxsA8d1/ezOURERFpKD8Alr9eGioUJHzuudCV9Ic/TJdeWhUz+wJwJXAA8CYwljB0xTqEoSuuM7NXgEvdvSVaYSV9sPL/cJ8EHnD3FWb2Q+DvwIGJmZmdCZwJ0LdvX4YOHVrBorYdixcv1rWpAl336tG1rx5d+5bRce5cVm2wAQDtli/ny5n1Sdd+vXfeYcC11zLqttuo79y5Ucfr+f777A4snjKFHtHKIUMAGPP++8zacEO2eewxNk2Z3xsjR7LhpEn0yyyPnzCBqVX43KQKgAH3A/cBdwKYWW/gV0B34E53H9U8xRMREaFhoEvBmtIKBQcPPzw85wfA8tO//Tbsvju88goMGlTx4kmzuZvaGrpiKrB5bHkz4LN4AnefE1u8DfhDoczc/VbgVoCBAwf6IH02Ew0dOhRdm5an6149uvbVo2vfAp59Fo4+Gp55JtTjFi9esynx2p97LkyZwpf79Al1ucbIjNHVo1u3Bpt22H572HnnNQGxNPbcYw8YN27N8tYDBrB1FT43adud7QI8EVu+E/guoULzbzMbWOmCiYiINFBu4GvOnOrMlFNLSl2zQtv//e/w/OSTlS2PNCt339vdH00KfmW2r3T3R9y9pcZtfQPYxsy2yATfjgNyasyZngaRIwmt1kRERARg5Mjc51I9IPLH6mqMqP6cVI92h2XLGpdfpEo3s9MGwNq5+1wAM+sFfA34lrt/AzgHuKKZypdm6uzOZvZQZvtIM+sf23ZBZv1HZnZoqTwzlbORZjYuk2enYscws/5mtiw2bfctzXUdRETWaoVagBX7Yp8zB3r3hosuar5ytQY33AALFxberm6kbZ6Z9TSz35nZU2Z2g5lt0lLHdvfVwE+A5wmBrYfdfYyZ/cbMjswkO8fMxpjZu4R65cktVT4REZFWI+3YW/Hg0rhx8MQThdPGLVwYWplBNmCVdCz38gNY+QGwKo0Blvaon5jZrpnXBwJT3f3tzPI/gEa2qysu5dTZpxHGJ9saGEym2Xwm3XHADsBhwE1m1r5Enn8ABrv7NsC8TN4Fj5HxSWza7rz+JCIiUlH5g+AXqwDMnh2eH3usectU6159FU4/vXS6xt6JW7Uq7HvttY3bv6VcdRV8/HG1S1EtfwUWAzcAS4BHW/Lg7v6Muw9w963c/erMukvdfUjm9QXuvoO77+LuB7j7hy1ZPhERkZoWBYuiem+p3g3xevKAAfCtb+Vunz8fxo9vuN8JJ8ARR8CUKcUDYOPHw6ZpR/8iW+YauOmaNgA2GHjYzM4HLgfyf010r2ShYtZMnZ2ZbTKaOjvum4TBUiFU6A4yM8usf9DdV7j7RGB8Jr/EPDP7HEi2Uvh34KgSxxARkcgtt8Dkyc2Td6FB8CWdsY3oUZa2khLN6nPlleUfo6XMmQOXXAIHHVTtkrQIMxtsZuvEVv0f8Ht3fwG4CtiuOiUTERGRsuXf+M2vo9XV5QbFovSFAmW77grbbJNdfvllmDcPPszcf1q+vHgXyIcfLq/8URnjarkLpLvfD/yWEAiaCvw+tnkg8HnliwYkT52dH2pckybTzH4B0KvIvoXW9wLmZ/LIP1ahYwBsYWZvm9mrZrZ/405TRKSG/PKX5e8zbx6cfTZ89auVLw9UJgD2xhth/6Q7Xm3dzJmN37ctBB2jz8/SpdUtR8sZBQw1s2Mzy/8E3jaz+4C3yN7UExERkdaiUABs772hb9/scqmeEpMmZdMtWhTq70cemQ12tWtXugtkuWpkTN60s0Di7ncTZhbKtz/N15Q+zdTZhdIUWp8U9CuWvtgxPgf+z93nmNkewBNmtoO7NxhsRdN2p6NpdKtH1746aum6D4peXHMNQ484oqx9Oy5YwBeBVTNm8N9mOJ+d58xhA2D06NHM7dKFAZ9/zibAxx99xGeZ4w3KpI2uZ9fJk9kbWLpsGa8PHcqAa65hE+Cjm27i8yOPrKlr3xx2mD2bPpnXq5YvX/O+DMqsi8691+jR7ATMnjOH92PXY/NPPmErYMqUKXxS5Dp1WLSILwGrVq9OfO/zj5e/nG/jp59m9r77rpnquxI6LFgQyrhqVbN8PmuNu99vZk8BV5nZqYRxtV4CdgSud/c3qlpAERGR1iLqupeZFbHZvP46HHMMvPsurLtu7rZSXSDffLPxx12RmTPngw9gnUzj8fbtsy22KhW4yu8CWaUbrCUDYGZ2DvC3IrMJ/SEzSPw57n5DhctXcursWJqpZtYBWBeYW2LfpPWzgfXMrEOmlVc8feIx3N2BFQDu/qaZfQIMINx5zaFpu9PRNLrVo2tfHbV63UuW6V//CnebNtooLM+aBUDHjh2b53wywZCdd9kFBg2Chx4CYMA22zAg73hrjp9pxt2ta9ew7rbbANh2993ZdtCgmr32FdOr15qXHTt1anCua5YzA+T37t07N82o8FW2+eabs3mx6zRvXjhG+/YMmjgRvvtd6NGjQbKCx4+bOBGuuYZtv/QlGDas8DHLNXdutoxt+T2PcfcFwE8zN+juAP4D/Mbdl1e3ZCIiIq3IPvuEXgSlWj1NmRK6Ep58cuOOc8kloWXWBRfAa6/B229ng26lukDmK2cWyChNu3bZoFe8BdiECenPoZgaaQGWpgvkRsB4M/ubmZ1gZnuY2YDM8/GZmQ/HARs2Q/lKTp2dWf5B5vV3gH9nAlNDgOMywbktgG2A1wvlmdnnlUweZPL8V7FjmFmfzKD6mNmWmWNU6BMiIlJFbxRpILJyJRx1FBxwQHZdU7ooTpgAL75YPE1TBs2MyrRkSXju3lzDVtawpPfFDEaPzi439hpH+y1YAKeeCj/+cePygfDZApgxo/F5JGkL3TjLYGYbZ2Z7fAo4hjCExTRgRGzmRRERESmlWJ047qCD4JRTYPHi3PUzZsDw4aX3j+pTN98M772XPIN3YwbBjzz+ONx4Y8O0SUGv9u2LH6MxdcbWMgaYu18I7EYIcp0GPAu8DzwDnAp8BOzm7hdXunApp86+A+hlZuOB84BfZ/YdAzwMfAA8B/zY3esK5ZnJ61fAeZm8emXyLngM4MvA6My03Y8CP3T3uZW+DiIiLW6vvQpvi74QJ05suK0xX2ZbbQWHHJIubX7+5XwBt7YA2OTJ2cFIGyPNe3HffZWvgEyf3vh9sVfzRgAAIABJREFUm7syVAOzD7WQR4HlwI2EYRxudPe/AocCx5jZk9UsnIiISJvzWabzWH5dY+BA2G+/puWd3wUybQuwkSOz6779bTjnnIZpk8b9iq+vlBppAZZqDDB3nw1ck3m0KHd/hhBsi6+7NPZ6OfDdAvteDVydJs/M+gmEWSLz1ycew93/SRhYVkRk7dbcgYX8FmblNO2ORAOgd+5cuXI1p379wnNTW2ZB4cBS+/a1GRRqrjLV4rk2jy8Ag9x9lZm9CowAcPcZwIlmNqiahRMREWmz8usaU6c2Pc/8WR3TBsDSzNYY7wK5enX2OPkttpoqPwBWqy3AzOzEliiIiIi0EsW6OzbXl1mhAFg50lYa1ibtYtWA6JquXh2a8Dd2tsymfAaa+/Oz9rz39wAvmdnVwAvkTWLk7kOrUCYREZG24+qrc7tHpumeWE63wsbmAw0DZsUkdYF0hyH5I0+VcfxC+7z6avn7VVjBAJiZ/Z+Z9Sd0c4yvv7aZyyQiIrUsKQBWKLAwfTq89VbljtkU5VQG2ppiLcDyjRgBd98Nf/tburybI6hU6TxLBcCWLg2zLrUR7v5z4BfAu8DZ7n5dlYskIiLStlx8ce6QIVEdIwooTZgAV16Z3T52bKh3PfFEWF61KtSRV66EP/85LMftumv2dWO7QEYtuoqJB8Ci1+5wzz2F98kvaxqHHZbbJbMGZ4HckhD82s3MXiaM9fURcHBLFExERGpU0pduoVZh220XBkevVECjKWOAJe2zaBEMHgwXXggdUo0K0LYkBcCSKiTf+AbsvjtccUXpPMvtlvrgg6HFmVnjuraWo1C+3/teqJAuWAA9exbe/7nnwoQN11xT8wPru/sbhIl/REREpKn69Amt49ddN7d74G67hRkbI3V1MHs2bL89rFiRXR8NhP/EE2EyqV//Gq4t0rYo6jrZs2eor0L2Jm78Zm68PvLOO2tmvm6QrpDoXBYvTt9bIpq0qBUq2ALM3Ye6+0nAScBXgcHAp4TZhEREZG30ox/Bl78cXqfpArlgQWWOm/9F3JhASVILsIsugssuC0GYtmLmTFi+PHdddO6PPJK7vl27htewXULV4Kmn4De/ST5eUwJBZ58Np50WWp0l5ZU00UJjlLpj+tpr4Tn/uuX7739DwLSGg19mdo6ZFR3oLjNDdsJIuCIiIpJo9uxsl8d4YOudd3LT1dXBFlvkpgG4/fbwHN1wffPN0sc86aRs8AtK12cOOig8onpKmnG8ojRz52br7T/4QfF9KjmuWQtLc7u7M9DO3ccRZoIUEZG11c03Z1+X6gLZlNkA8zVmDLB4mSZOzFYg8luAQeOacpfrySehY8fQBLw59e0L++8PvXpl10XX65i8e1jxFmBmoWJX7kxFTWmtFVUku3ZtuO2ZZ+CII+Cf/wwzFzXG1Kkwf364JlC4rGkrYXV1ya3mastGwHgzewZ4ldB6fxGwDjAAGAQcThgnTERERNJauRLmzIHevXPX19Vl6xjz54fWVPmiFmAdO4bnNJMy3Xtv7nKpAFjU+iu6sZfUBfL113OXk4Jk//lP6bK1UiUHwQd+5u51AGbW3sz+0MxlEhGRWjR6dOFtUauqeCBh440rd+xiA++XYgZbbgnvvReWk6Z4bo67UCtWhEpS5Mgj4fDDK3+cJMOGZceYKCYezHGHW28t/1hNCYDNnh2eo8pgPM8oONaUsbk23xx22im5wvjSS+E63XMPzJoV1o0aFboazJyZnF8rCIC5+4XAboSblqcBzwLvE2a/PhX4ENjN3S+uWiFFRERq2Zw5cOKJ2VZbkVWrQl0h37Jl2dfbb18878ceC89dupRfLvcwtlh8LK1ikoJbe++du3xxlaoDtToLJFBvZu0AMoGwvUqkFxGRfPfeG/7RL11a7ZJkvfQSTJ6cPv20abnLaQbBL2bs2PK//B5+OLebWmPHAJs+nc6zZuVO/Vxphx3W8A5htRS6zu3aNf19rMR4XfkBTvds14FOnSqXf7ysBx8cuvPGm/lfc01oFfjyy8n5tIIAGIC7z3b3a9z9IHff0N07uXtfdz/Y3Qe7+5zSuYiIiLRy9fVhjK4o6FTKvHnw97/DXXfB/ffDGWfkbp82LbklfzwAVsrMmaGF2HPPpd8n4g5bbQXHHZf+WKU8/nj55aiEGu4CeRPwZGb2x/ZAI0KVIiJrucsuC8+ffx6+uGrBwQdDt26wZAm88krp9Pk//KMvrtGjYZ11ctel8eij6dNGgYtbbgnlaErAatw4+NrX2De+rtJfwo8/DkOHVjbP5tC+ffqZhCL19XDOOXDWWbmtq5oiKY8oAJami0C+0aNzA2dpZ02KWgQW+ny1kgCYiIiIAAsXhjG6Tjqp8HAKUbfGpUvh3HPDkBXHHpuc9qOPktdPmlTeLOODBjVuIPkbbigv/bx55R+jjSv5C8LdHwIuBPYhzAB5SrTNzHYvNdCqiIjQsIXLkCFgRvtqtwiLjn/ggaXT5gcFzEIT7F12gT/+MbuumNWrs8dsbNDp00+zrwsFNOrqCjdBnzCh4bpKtwBr7JhVTfHuu6UHcc+XPwZYGlOnwl//GsbnatcuBMOaKnof45XHqGLYmADYLrvAF77QMP9IoUFhS3WJVQBMRETakjlzcutVCxfCgAENx4mqBvdQ53j5Zfj447Bu8eJw8/b3v28YcBo6FP71r9x18+eH5/r6kM+BB4YWXP/7XzbNaafBJpvA1luH4BfAQw8llyl/YPvInnuWF9BKMwB+W1erXSDNbD/CTJBLgOeAeLP5E4F/mdmrZvaQmV1sZkeaWf/mKKyISKsX/bPPzKjXrZwuiKVccQV88EHl8otEX/ZJP/wnTQrPaStKRx8N3buH1y++WDzt978P220XuqTFB+Osqys9C2SxQND11zdclzYA5g4PPNBwUNGNNw4VxmqZPh123TW0ykpSrAtkXNL1nDEjeZ8ZM0L6/EpiNKNjOfJbaBXqArl0Kfy//1deV4Ok/AvdpVULsGZhZoeZ2UdmNt7Mfp2wvXOmHjnezEaqHiki0kweeQSuuy67vN12YcbCyMiRoaX8hRdm1z39dKi7LVoU6j9XXBG64LlDXR3tli0LN+Gefjp9OT79NDe9e8h3yy2zY4Dec08Yy/OrX4Vttw3rxo0LdYALLoArr8zN84AD4KijssuLFmXHQ122LOTzyivw/PPwxS+GutFnnzWcIbuYv/0tfVqpSWlq/LcDDwA/AE4Anoxtux/4prt/BfgJ8D9gC+CiCpdTRKR1yw8sZAb9tqTZWRpj8WK4/PIw+18ljRgRBul84YXkH/5RYKVUy5lo+5Ah4fn550vPMHPffaGp+RVX5K6PB8AKKfeuUtr0994LJ5yQW3kcNiwEoMalnCj54Ydzl1etSj+YaSHRtNWFgk9myc3g47MvRu9NvvwZiKLPQaE7nQsXNhwvrpRiAbB4C7A//hH+9Cf4y1+ann+SNt4CzMxSzIde8WO2B/5KmHlye+B4M8tvnnkaMM/dtwYGA5pwSURapxUrYP31QwBp/vzi3zd1dQ2/t+fPD93c4vvNnAnvv587sU4066B7WD9xIlx6aaiv5fvwwzDcxaxZYTboc88N41xBdjKa+vpwk+mdd8LyiBFh8qD334evfz1su/XWUH+9/PJw86trV+jQgS9/7WvhJtzXvw5vvx0CSvGZwGfPDmVctizUKd55B3beOaSPn+Pll4fzOP30cIM1v574v//lfj9ffnlosXXeeXD33dn1ZuFx9NHhXIvZdNPCrbqkedXwGGAz3H2Umc1z99PM7M7Ytu8BXzCzrsAM4D1gNPCvpIxERNZa+V0gO4R/v1aoK1ZjFWv5NH16mLkmXuEoZdiw8Pzii/DNb+Zui39xlRr3oK4ut1VNvGJUSn7FJClomH8dy/1S/d//0g0oGg0mGi//l7+cm6bUOFPHHhsqoJELLoA//zmMW7XTTunKWy4z2GCDhuvr63PLO2VKZY43b16oVKaVFJhKagEWtfxKGtR18uRwzKQAVTT4bakWYNH2++8PXSSi1oqRVh4AA6pR29wLGO/uEwDM7EHgm0C8ueo3gcszrx8F/mJm5l6JAeaaaMWK8BmM/0+J/p+Zhc/S8uW5geEuXdb8j8c9+7/PvWE+q1ZlZwKbMiXMQuoO663XcB/3EFxed93wf3D8eNhjj5D/7NnQq1dIm3TZVq8OZYznVej/ZP62xYuhR4/cc1+0KASn27fPnmsx0f/t1asLz3z2+edw001w6qnQr1+49vEgfSGrVmXPbeRI2Gyz0J2pvj6Uc/31c9MvXhwmvJgwIYwrOXNm6FLVo0fIY9Kk0CoGQhmmTw/jXI4aFf4HffnL4X1q3z7kNWfOmlYzPTbcEHbcMazv3z97zJUrw7Xr2jXk8frroQXMsceG4221VbiOq1aFIMUmm4TPw4YbNuwGvnhxeA+6dg2fva5dw7kuXJj93OQrNpNy9PmNz8a7enUob8eOoWX5lluGa+Se+1nLn0Rl3ryQV8+eyZ8193COHTuG69q7d/a406eH8zUL1yC6xlOnhs/8+uuHY48eHW76HHpouDYjR4bgTIcOIVjTu3e4IbVqVdhn221D3h98EN6rQYNCOSdNCp+P+fPD6xNOCN+THTuGYQx+9avQYqhHj9AS6Ygjwufg7rvDtejVC/bdN9STLr003Jzp1y/bUul3vwuP448PAZ1rrw3v3cyZobvcPfdkr91uu8GZZ8LZZ2fX3XprGID9vPOy31m77AIHHRTyKqRnz1CWVauy78mllzZMd/LJ4fwj+d9tS5aEIFXcL36Ru5wUONp99+zru++GgQPD30Qh++0HN94Iv441Dh49Ovz95E+C88UvNpxN+8gjC+ddqqeBrJXSBMCGmVk3YKqZHQIMjDa4+3nRazPrA+yUeXwDOCM/IxGRtVZ+5bOxLcAmTw6V3PzKRJrfiQceGGZeXLUq3Q+W/HyTxgCLzicKQOUvR/IDDuWMuZVfYY9fs6h8J5+cm6bc38033phuYNE0+ZZ77Ohu6/TpTQ+AlXvs/Pdl8eLKHGPVqvLKkxSYij5D8Up5tO6aa8IPx113DcvTp4cfHr/+dfjBkS8apyxtC7DHHw/73HFH7vYaDICZWU/gUELrKoCxwPPuviAheTUCSpsC8cjqVGDvQmncfbWZLQB6AbNbpIT5nn6aNy68kHnz57PPzJmMWL6c9YE+wMfAF4BpPXuycIMN2GfWLEYsWUJvYF3gE0JF+JNOnVjarRv7zJ/PCGCjDTag89y5TOrWjV3btWPs4sWsBnbr0YNRZmy6aBFGuDgDgbcJM0/tkHndr2NHVqxaxXTCxRsJdAO2At7bZBO2/OwzFq2zDrMWLWIfYCUwvGtXNnfng86dGbBgAbOAed26sc9GGzFi+nTW32QT+pjx8bhx4ZyAhYRBf0dsvDG9lyxh3YULwzl17cony5axNNoObAR0BiZtsAG79u/P2BkzWD1tGrsBowhvqgFT11mHgYsWNTwnYEWHDkzv1Yu9O3Zk5NSp4Zyuuor3gC2BRcCs2DHXATYnRE8HZLbNi21v8D7Fz2mddei9aFHu+3TvvcnnBOxK+GNaDQ3PqdD7BIw+88zk9ynpnE4+ubxz6tSJaStXZs8Jsp+9Tp3Yaf31+WTGjHBOm27KiGnTcs+pVy/G9u7N6o8+anhOffow0Iy3Z85s+D5B+nNKep969WLeypXss2hR8vvUpw8LZ81qeE7R+wQl36c6YG4Z71ODc7rmmtxz+va3y/vsHXJI8mfvgQcY8cADuec0dmzuOb39NhudfXbuOY0Zw+qf/zz3fXr3Xaa++27xc1q4kL3POivd+/TTnzb+7ynN+3TyyaX/noYPZ+rAgcnntHJlw/fp2WfL++xV+pxo+v+IJv89tZFz2rdWW4C5+6UAZnY+cAlwdX6azDhhRxMqL+8B/6hsMUWkZowdG+4wbrxxtUvSuuQHwDJ3tdqVagF2yCGhG2A01la/ftn8nn8+tFy64orsD/f4oPpvvx1+rEd38KLB31euTB8Ai/znP6EJfdz8+aEFAsCYMdnzcw93LuPq6rKBnihdWvnBsqQxwO67L7t9wYLc86vkF2yxu+j5adKKAirlzB6Ur7FdQvM/f2m6AaRptVhuYDepi2JU5kItDd97LwTBPv0024XkxReTA2D5+5cKgEHDbpxROaK/wRqQmaG7L/AaoU5phKEobjGzz+M3Kqso6cOX/wakSRMSmp0JnAnQt29fhjbDbKsbDRtGpw8/pOM669Bu+XJ6AKu22YYV9fX0+OQTOphh3bvTYckS6uvr6bzOOnRZtIhOQA9C5brbqlW0mz+fdpl1nefOpTPQfdkyOrjTnfADo/3ixWE74SL0IPyw6EEYp6RD5rV17EiXVavWrO9BZlr27t3psHIlnYAuixat2d6uTx/a19XRfuFCbMMNsZUr6bpsGauWLqVuxgx6LF1Kh88/p26ddehuRkd3Oq6zDp2AdosW0WnpUrosXLjmnNovW0b3TN7eqRM9Vq6kc6bcXZYvZ8XMmXiHDnSPlb8z4B060HX58sRz6kS4CdQx8yM3OqeOse1dYvv1IPyoirZ3BLoCq2Lbu2b269qpE9a+PR06d6ZH5n3ounw5XTLb6wcMoMPHH685pzXvU+YRvY9r3qfY9mLvU6fY9vj7VOqcFu22Gz3efpu63r3pOnt24jn1ADquXEk3oD62vX3PnnRauJAeK1fSYcaM7DlNm5ZzTl26dGHJhhvSfezYNefUpVs3Oi9dGso8axYrNt0055y6dO1Kp2XLWN29Oz2WLIEOHeixenWqc7KuXemxbBkdAe/ale5z5yafE9Ax83cWv2adgHabbEKHzz5L9T6t6NCBZZttRo9PP2229ynNZy/anv8+dYltj8pcC589nVPLn9OSfv3oMWlSmzqnxrxPH374IdOrMWO6uxd9ADcB7WLL3RLSfEA2IHgHMKJUvmvzY4899nBJ9sorr1S7CLVt4UL3P/3Jva6u4lmnvvbRiAO1bvly9yVLql2KrM02C9dt8uSw/PWvu4OPvuqq3HT/+If7Fltk3+P86x1fjr+eO7d42j/+Mbs8d27hvOIPd/c//CF5W6FHv37uTzzRcP1TT+Uu339/8vHiovU//3luur33dj/33PD6z39OLv+Pf5x9vd126cqeRnQ9fvnLhuWM8li5MjnfQsc67LCw7umnk8/f3f30091/+EP311/Pbp80KWz/9rez13ebbZLP7f/+L3n9DTfkvl877lj6Gn36aelr+d//hs/c5psX/1z26RNev/FGWH7//bAc/b2A+333uT/5ZNj+s59l1991V/b1yJHhec89kz8P+eeweHHytt12y74+9NDk92PLLYt+RJoKGOWerj4BbFbONqAubd6VegD7ElqkRcsXABfkpXke2DfzugOh5ZeVyrvZ6lP19eHvuCXlf1+tWhXKUF/fMG1dnfucOQ3XL1++Jv2a7/T4/qtWlVemFSuyr5PKUUh9fcPzyd9/8eKwbuzY7LaVK8N+q1dnl6N9ly8Pr6NzqK/P7vfhh8XrRatXu0+dGl6/8IL7q6/mlmnGjPC9uHKl+yuvuM+e7f7ZZ6GMQ4dmn7fbzv3ss90/+MB9/vxQluHDc87tlVdeCcuffuo+ZkxYuWCB+8cfu197bXZdXV34H550bebPD+e0fHm4PsuWhTTLloXtb7wRlmfPbnh9584NrxcvDu9f/DrF086dm73O8XXlWLgwPGbNCstJn8l89fW571Whz9WiRdnXM2aEa/3RR9njjBiRTXfffe7jxuXWYz//PLzX0bHGjAn1juic6+vDda6rC3ktXx62vf66+yOPhPWLF7v/5z8hn9Gjw3s9cWJ4/wcODN/L8+eH77uHHgrfD8cf737QQe7z5uV+zzzzjPtGG7nfeKP7/vtnv2+/+93wevvts2lfe839gQeyy2++6X7hheG7fu7c8H33ySfZ7fvum/y9CO5f+Yr7JpuEcs2cGT47jz3W8LvvwQfdL7ssXLf27Ut/xzf28aMfZes8a/PjxBOrX4ZaeNx5Z+n/GU1QqD7VYEWDBHAk8E9gY+CXwPCENK9knv+deb6zVL5r80MBsMIUACvhrLPCn+0TT1Q86zYXAIt+eNeKTTcN5YkCYN/6ljv4e5dfnpuuS5eQbunSsBxd79tuy10eMSL3vZg1q+F7E1+Of+F8/nmo/BXaHl/fqVP6LzJw798/VB7z10fnFT3ilbtCn6lo/Xnn5abbY4/cANjSpcXLNGBAurKn8fvfh7TFAmArViTnW+hYRxwR1g0Zknz+Y8Yk75sUaOzZM/ncCgXArrvO/fHH018r99yKd6HHK68Uvr7x5SgAFgX23nsvLMcDYNHf8rBh7j/5SXZ9vKI/fHh43nvvhtc6qRy//GXytp13zr4+5JBwzOgHWrR+m23SfVYaqcwAWMkgUV76agTAOgATCC3TOgHvAjvkpfkxcEvm9XHAw2nyVn2qMNWnqkPXvXpq8tqPHu3+7LPF00yZEgJuURA2MnKk+xlnFA7uzpgRvo+TrFwZgnOF7LFH+D67/vrk7fEg2GefhecjjggBx3j97Xe/Czduo+XDDy/+/fvvf4cyH3xw7vrNNnM/8MBQf5w9O3fbhReG56jel/+46abs63j9JB5UzH8MGlS8nM39yK/Xrq2PKgXA0vSBeR44AphMmN3xSwlpCo4TJiIVFM3UUmj2Ncmq1GDeleIenvPGAGtXVxemYJ4wAb70pYbpI2ecEQZRjZx1Vu72crrPrVyZPn1jPmvrrNNwXX4XvHLGAEvqAjlrVnj9/vthwONimtK1MF/++1iJ45XqArnDDunzWrgweX0lu0CmOb/HHy+dJi66rkl5R3/Lixblljepa2Ta7q5/+lPy+nj+L7wQHrffDqedll1fW2OADTOzI9x9gZntAPwM+Ai43t0rNMVs03gY0+snhPpke8JN0jFm9htC5XQIoffAvWY2njCMT4oZKUREatxOO5Ue2zOqw+RP1rDXXuFRyIYbhkeSjh3DxAGFvPFG8e/LhQuzk8BsvHFunfS44+BrXwuD+W+5JbRrx8dvvMGACRPgttvgmWfC8BiLFoWB9G+/HY46Cp56Kkwa0KVLGMLjvPOyM2p//HHuhBfu4dxmzYKf/ASuzozAtM46YQiRiy4Kwx888EB2UPxttw3l+d//4IknwqQHH8TnWokpNFnEL34RxhhtbkmTEtWiv/wlXP/mUqtjgAGvArcC12ceT5E7cw+eYpwwEamA6MdZueM3VYI7XHVVyx+3tZo/P/cLNqo8RM/xQfB33jnMTOTecGyrQt59N3e5nNkkV6yobFAozizMjlRKUgAsfv75ecYtWZId8+uuu0ofq9S1jFx7bZiFrFBwJK20x4tEAZVKzwgaV6iSkf85KBUAGzs2XQAozYQCv/1tw897/nNct26lZ28sJ7CaJCn/kSNrOQBW79nB7u8G7gLWA24Ezi60U0tz92eAZ/LWXRp7vRz4bkuXS0RkrVQq8NCtG7z5ZuGZxXv2DI+Mz448kgGDBoWFH/wgN+2ttzY8nhkMHhxm7Hz66eTZXqdPz85EGrniiuzr/v3DLNruYQKcU04J6/fdNzxefBGGDs1O7jN4MJx7bnh91lnw3HNh/+22C+OJQst9v+fPMF2rqhSgam5paor7u/ud7v4B4Y7cH6MNZvYLMzswWnb3We5+jrs/1AxlFZFoYOlK/oN+7bV0wZAZM5KnUZaGxowJd/Luvju7rlgAbM6chnmUGwwpJ6DV3AGwpOBFmhZg8TINGVJ43/hA/2mkPdfzzy9852/0aHj44eZtAdacAbBC8staqsXf7NmVK+dFF4U7yFA88BXp2rUyLcAK3TGH5HOLWhtGaisAVmdmHcxsK6CDu9/k7r8Ftq12wUREpBXbfXfYb7+m51Pse/mii0KLrSTt2uUGv4rl/7vfwYABuesPPji0Qov8/Ocwbx7ccw8cdhgsWxZ+1xxzTDZNse/3KMBWCfmt/coxb144t5ZQ7k3FL3+5vPRVCrClOav9zOwpM7uPMOPmj2LbjnX3f8cTm9neZvaXShZSRDKiH2eV+gH28suw//7pWrzk/1B+8cXQzHltM358aBFSzPvvh+dnn224LfqBn2nFZ/Ef3P/8Z/hChuQgym9+U/iY5QbAym2lVI40AZJCLcAigwdnX0fXM1JugKkSwb5ddsneIYTyZoEsdfxqtgCrq8stb6nPhVnzBE/zu0AmlaNTp8LXqJwWYPkBrbik/PMDrrUVAPsjMBx4EvhbbH3C7XQREZG12Hrrwfe/33D96NHh+TvfCS3df/Sj0P0v8tZbcOed8OCDufudfHLu8vDhcNll4fU//lG4HCeeCJ07F96emSk+Ubt2YbbzllCoBWAhaQKWNSBNAOxPwPHAJu5eT+gOGVmWn9jdRwK7VqZ4IpKj0gGwf/0rPI8dW/6+hxwCRxxRmXK0hAUL0o1vVMo228A++2SXjz023HkqJb+FS+Y9tHgw4Tvfyb6uq4Prr8/NI/pSzVdfn/vDfdiw4mVZsSIEP5vDhAlwxx0N1+cHYJKCEIWCL/mB1moEwCJpAof5aUrdQS03ANajR6iYlRPETNsFslSeV13VPIG6Tz6BK68s3gLNPbe88XOKytTULpBJ55Z/TWooAObuzwIHAEe6+y0AZrYN8Gk1yyUiIlITpkyBiROLp9lpp/Bdv9tuoUvkX/8KP/5xdvuumdBG/Ebo1KkNW5Tvs0+oq//3v3D88eH5xhsbHq99+zCOGsBBBzXcXmyMsHbtmj5UR62o4RZgi9w91n6QeEhykpkdnrBPM/WtEVnLNXYMsBdeCANexn34Yfafcpp/QKWCCFFXpkKmTw9jLDVny6Ni1lsvtHZLMm5caNE2Zkz5+T78MFx4Ye66/HOMxjGIb0sKgMW9/nporp3G6tW570+pJsgrVoS7W5Fid6ka4/77S6cvoHv8AAAgAElEQVQ588yG69xDAOT667PdfZMU25aksZ+5CRPCeBNpunTG5b+npVoMRkGbaL85c4rnv2QJ/PSnxfPMVyi/iy/O/ZyV+jt//vnC3RWa4sYbQ1eEp58Oy0nXPD8AFhetb44xwGo4AGZmJwMr3X18tM7dxwEnm1kF+2uIiIi0QpttFsYLa4p4HWr06NASbNNNQ11s990bpo1ufO63X5g0oJgzzmjYw6NXr+JlKberYWOVG6CqofpRMWl+Rd9lZvcD65nZfkC8bds5wD/M7ATgMWAOcBhhBiIRqbToh385P/I++QQOPTS8jv+Qmz8/+zpq+pvm2Eneey8M5J4/W1rcCSfAK6+ElmM77hjWTZ4M/fqFYM+ee5YuQ1PlBwEhNO+NjxvQlADdMceEQUG/+tVsXtOnhxl0ItttFwJQpVr9lDPOVV1d08YAe+GF5HSVbGKd5kvUPcwI9OtfF09Xbouuxr6nhx8eZiY69dTmPV7+Z+GTT8rbv6kmT86+TnNtz26GsdWnTQvPS5YUTuNeeAywSg2C38pagAEzgYfNzIBJgANbAnXkdokUERGRporP7LnZZmGygGJ13KSZ0SG7T4cOcMklueMsRzN4brABzJ2bu19T6znlKLc+u/nm5aWv1RZg7n4f8FtCgOtbwKmxbfPc/XDgNkK3xxMIFbCamXlIpE2JglDlBAC23jp5fXwGkrfeosPChfCNbxQOhhULgI0bF56feioMLnn00Q3TRAG3eDfE554Lz7fe2jB9KePHh4BbvrPPLu8f6sKF5R+7kEceye3+98gj8NJLuWmiLl6lWoDFu0OWMnZs02aBLPTlXGia6Li0rRHTfGbr69O9H805QQBkP+vRZ/aJJ7Lb0lQG0hwvHlzMD4BVc9adaLakapkxIzwnXef8rr6NHQS/mDTvXUtWPkvIzK54AXAScC9wH3Ciux+V6R4pIiIijfGVrzQ9j86diw/7kVTfad8+jH/72GMNt+XVQUb/9rdNL2Mh5QbAttiiecpRYWlrcUe5+1Xu/stM0/oc7v4fd7/M3X/o7n9z9zL7p4hIKtGPv0qMwZM3UOH2V14ZAlhnnJGcftWqwnl16RKely8P0x8n/cOOfuS//Xb4kTp+fMM05dhrr1DW/H/Ot9xSXj5pf/C/+mrDuzCFxFvw/P3vDbeblQ6AlWOPPULXtLTyA2D5QbpypC1/ms/sqlVhlsFKHTOebzmiiQiiYOU552S3pZkFMk2F4bPPwmf4uuvCwKoQAsJmzTPbai1MZf3ii4XLEbUAi7rjltsFMt4CrDFjGkYKtQCLl6eGAmBm9kPgNKAnsIO7v+HuLTQ6roiISBv23HPZG3NN0bt3aOUVFw0FsvfeDdObwQ47hBZmSdti5u67Lzz+eOkylOpdkaTc+nbUMi6tWm0BlvGrZi2FiKQT/ZBvatCkri78GI1pF7XMKtSip1gLsGifOXMKp4l+NEY/9ocMSRdMKGTevPAcvxaN6eoWnyK5kCVLYNCg0CUujX/HJsf9z3+S02SuWfcJE9LlWcrPfpa7XOz9euut0DUz8uGHjT9uJQNgP/5xutaA5b7PaYJqcVH303g34Uj0N1joM7vZZnD66aWP4R665J57bnbdo4+G56hlZCU1NeBcCUmTIxRSKABW6HMUHwPskUfKL1ukVP5QG8HErNuBd4EjyB2jVURERJqiS5eGA90XsmuJOQDzx/k67LBQr0nqNrjttuF5q60abkuqg6S5MXfVVbljix19dAiyVcrTT5c/nE2NB8BqqrYnstaKglT5P9JWrgzBg3hQAwp3Z/zNb3JbtQAW5RlvGfbJJ/C974X8iwVUomlyi7WQilqAlTOOWV1d6fGQ4tdil11K53n++bk/rtMEwKIvp3feKZwmPlNhPP9Cs9pl/ulvlBeIrJhiM17+4Q/Nc8xi0gTKHnqocnk1RbHx16IA2NVXJ2+fNi23y2Qhlah0FGqtWavKCcIlBcAmTcrtOhqvON1zT3ZdsanFSynUAqy5P3ONlGlx/5i73+LujehLLiIiIk2ybFkYz7gSXngBbrghu/zFL4bnaHzhpHFI8wNJd9yRu65Dh7Dfu+9m1227belJmsq54fy1r9XaDcKC0gbAqjRtm4jkKBQAe/ZZuOmm3JnhrruucEBo+PAGq9b94IPwIh4AO+OM0CXptdeKdyOLuox1KtIAIQp4RQEws9ItwK68Moxh9vHHhfON/zB9773kNPEZB6+9NnecqUKt1l5+OUxlDNnWZvEvgvz+/IMHZ1+n+cKoRDfWYqKgZK3YfvvSadJ2VWzua1csANbY7nVvvdW4/Yopt2Vbtb35Zvq0SX9Dxx4b/i4j8f8bDz4Ynp97rmmzmia1+ssPgNVeBe8UADMbVOVyiIiIrH26dGkwtEzZRo4Mw8QcfHB2aBnI1ocuuyy8TmpAkL/u0ENDvSWahCu6kb/ppsX3y1fuzb9y60c13gKsg5kdYGYHFno0aylFJIgHwN54I7fbT3w75HatiqRpqRX/Bx61XurUKV0LsGL//KMyRsGL+D/d6B/g2Wfntox59dXwPHVq4XzTBENuuy13+a67wthfQ4aEsZiSfPWrDZsrxwM0+U2i4+No1UIALP5ZaMrMlpVSyRY0zd0aJwroJknTuitJY8ZeWJul+ftICl67p5vVtlzxv6HaC4Ctn3nevWgqERERqZ5iv5P22iu5G2UUxOrWLXf9F76QbQ225Za527p2Dc/R0BNJ9Raz0gGwcn8/1NAYqcWknL6LmcCdRbZH026LSGMce2wIMt17b/F0UVDjpZfg5ptDa6Zzz82OwVWqBU3XruGfWbHWQfF/ztHx2rcv3qXu5JPDc6Hxw2bOhGHDwuukFmAQur/lD2Af/WN/91048MAwuH7v3rmzFjYmkHTuuSHPu+9uOGOle3kDyidJU6aWDIBFrWOqqZIt0lqiC2Slj1ELQcjWJGp1WUy8xWtzquEukBmvmtkdwPvRCjO7EHgDGOnuFZzqVkRERBpl2rQwrnA5br89dC/cPe8e1/vvh/rJsGEhGPbpp9C/f9gWBcCi32WFbtyVuqFXbt21LbUAc/f+7r5FkYeCX7L2Wr06jJM1Zkzj83j4YbjvvuJpRo3KzkQSdWE877zwzyMaSD0KLpWaCTHNgPaQbQG2335w3HHF8wTo2TN5fdS9Mp5nu3a5XSDj+a9YEdJFdxLOOy+01Dr66DAl8Te+kU3b2EDS3XeH54kTc9efeWb6we7vuit5fbHrGykWUKyE+HU54YTmPVYaxVpVlau5gxEPPFB48oK4efPSBxcVAGu9Xn01/A+M1F4LsFMI9bn9Y+uuA1YBPzSzZpwjXURERFLp0ycbpEprvfXg1FMbrm/XLnc8sH79sq+jsVCj7YXqLZVuAVZ79aNEraOdmkgtGz06jDlz4olNzytqaXDnnQ0DJPGZNfIHY3/hhfActQA7++zCx9h+++IBmscey76OD+CeZhrg/H98114bZh2JB2Oi87qzSKPSDTcM/8jjA8Sfckr29bRp2ddR3p9/Xrp8SfLHZrr99tzlYv/8k76QIN1YVqWClE0VHyy8FjT2/amGW26BAw4one6b34Tjj0+XZzmViKQpsaW64gPH1l4FbzgwDHggtu7nQEfgFne/sCqlEhERkZYXBbaiRg2FAl3VDoDVcgswESkiiq6/807jWnnE99lrL3j0UTjtNPjd77LrS7V4GTIkPH/4YemmtWPHpm81VWgGwzTp3cOMi5dcknu8KVPC85tvFh4Ef+HChjNaRkG+fHV1sNNOsMkm5ZU1rWgcsnIsrIEeRwMHVrsEbd+oUenTlvO/IWmGH6kdtRcAewD4CNgxtu46oA/wM7UAExERWQs1tQtkcw+CXyVpxwATkULi0fO33oI99ki334IFYcaxddfNrhs1Kjsoe3yg+jRd6iC00sof0ypJmsDWzTdnu1YW8/772dfxfOP/NAsF3ErNApnG2LG5ZSh0jMZK0xIo37hxTTumtA7ldOt85ZX0aZt7fDhpa3q7+3+B/0Yr3H2pmR2cWVw3eTcws57AoUA0TetY4Hl3r7EmpCIiIlKW9dYLz4sWJW9P8/vr+efDrJKR+FhjjcmvKekrpNEtwMwsxQApImuB+I/VZctC8OPTT4vvs3Bh+KfUv38YID4umr0xPgVumi51kaFDS6cpNPNhZMgQ+NGP0h1vp52yr+MBsPig54UCeOW0MNtii+T1pQJUGntJWpty/t6l5dXegPgnmNkXzexPeeuTukauYWbXAjcDvYERwEigF3BLZluTmdkGZvaimY3LPK9fIF2dmb2TeQypxLFFRETWaptuGp7zf2um5Q6HHBLGLovExxrLFw9oXXFF447ZAprSBfKLFSuFSC1bvBj++c/C2+NjdT33HAwYkBusef/9EBQbOTK77pxzsq+feSY534ceyk5fW84P4l690qctJH8crLTiAa34TI1PPZWc/vzzG6YtpLFT644e3bj9RKpFAbDaFm+dWxuWA1cCa/5xm1k7sl0jdyiw32B3/5673+zuz7v7c5nXxwMVCYABvwZedvdtgJczy0mWufuumceRFTq2iIjI2qtnT9h55+zEX+WKbvgVa6n18svJ+ffuXTr/1tYCrCWZ2WFm9pGZjTezBpUnM+tsZg9lto80s/6xbRdk1n9kZoeWytPMtsjkMS6TZ6fGHkNq0Jw5oRlo/vhSSerq4IwzQnDmO9+B++8P++e3ZooHfa6+Ovv6o4/grLNCC6kBA2CffUIw5qWX4O9/z6aLWnzlmzwZTj89zIBYTkupTp3Spy2ksa2m8scAi9x6a/H9HkhsoJBr6dLGlWm33Rq3n0i1KABW2xobjG8+zwIXA/HpXi9x90WZrpEvFdjvATNbF8DMdjCzW83sfDPr4O5TK1S2bwLRF97fgaMqlK+IiIgUYxYm8fne95K3lZJmqJrddoMf/CB9njWg5mpx+cysPfBX4HDCGBXHm9n2eclOA+a5+9bAYOAPmX23B44j3P08DLjJzNqXyPMPhLui2wDzMnmXfYzKXgVJZcqU7B/qsmWhyeaIESF6ff75YRbB3r1DNHzjjeG997IBm9Gjw7orr4TXX4cf/xh+9avcllAnnhj233ZbOOaY0Mrrq18tHJw6+uiGgZ9ddoGDD05OX8jgwWHmxrRKdb9Mo1CLrVLKHTQ/Mnly6TTljLck0pp9+GG1SyDF1F4A7DRgd2B8bN282Ou9CuxXHxvr627gHaAzcGMFy9bX3T8HyDxvWCBdFzMbZWYjzExBMhERkeaUprFDmjSNHWA/bZpm0BoGwd8LGO/uEwDM7EHCHcUPYmm+CVyeef0o8Bczs8z6B919BTDRzMaTrQg2yNPMxgIHkr2L+vdMvjc34hjDK3UBUlu0qOGMddEH1z33AdkPXX19aHFQVwddu2ZnjFiyBDbcMAQ1li8PLZ9Wrgz7r1gRAkYLF4Z+xW+8AVtvDX37wvrrw/DhsNlm0L17yPuBB8LMZiNHhuXDDoMjjoDXXoMddwwtpC67jL0WLQqz+Z17bhjQPWoddeihIeD06KNw553hmKefnnwdfvpTuDFTf3/xRfjud+GRRxqm23nnMAD9eefBZZeFdZdeGh7FTJiQHRz+009D088kY8YUz6ccc+ZULq/mFM3w2Bwa2wJMRKSSai8AtiTziPd/72Vm27j7OKBHgf3qzKwD0A/o4O43AZjZv8s5uJm9BGyUsOmiMrL5P3f/zMy2BP5tZu+5+ycFjncmcCZA3759GZpm3Mu10OLFi3VtqkDXvXp07atH17564td+UGZdsfciSjNp0iQmDh26ZjnJpxMn8unQoXxhhx3oO2PGmrzj+wx77TXqeoRqRvslS9g/s/7jceMYUKLsY8aMYVZ8fLEW0hoCYJsC8V/VU4G9C6Vx99VmtoBQEdyUMLBrfN/MaHCJefYC5rv76oT0jTnGGi1RYes2cSKceirPEJqifQBMzhz0VmDLzOMlQtRuBDAjtn07wq3Z/wDfzaRbAJxKGFhkF6ALYZTcE4HHgHrgGOAeYE9gNfB2Zp97gO6ZsjwEfAmYmynXmc89x63PPUcf4EsPPcTjhMjjZGD8tGmcecIJ3ApsBuwMPPP889lzOvLI4ud044255/TII4XPacECulx2WWXOKXPMPpn1OecU277mnFrD+1RL57RyZds7p7b4Pumc2uw5fXHrrXlm/Pg2dU6NeZ9OmTePibVV0b8f+CnwcWzd74DzzOz/gBcK7PdHws267sANsfVdyzm4u3+10DYzm2FmG7v752a2MZA4Eq+7f5Z5nmBmQ4HdgMQAmLvfSniLGDhwoA8aNKic4q41hg4diq5Ny9N1rx5d++rRta+epGuf5r3o178//Uqk69+vH/0HDQrD+HTtmpj3/l/5SnYs54UL16wfsO22Jcuww447QhU+N+aNHOvHzOrdvdlvg5rZd4FD3f30zPL3gb3c/aexNGMyaaZmlj8htML6DTDc3e/LrL+DUP9ul5RnLP3WmfWbA8+4+07lHsPdC46aPnDgQB81alRlLlDcsmW5rY7cQyuvqKVX9Dp61Nfnvo7S1NWFFl/u4XXnzuFRXx9ahbVrF/4I5syBWbOgW7ewfsstYf58mDo1tPZakOlZ0b9/yG/FitAy6+ab4eOPoUeP0GLstdfgiSfg4IP5YPVqtt9nn9AFr3dv+Na34F//ghtuCP2LP/wwtLraaadQ1mefDS3PdtklDFbfoUO2tdfFF8NVV+Veo623hvHjEUllu+3UHU0kctBBhVu8rk323DN0lW8mZvamuw9MmfZid7+qdMo16evcvX1suQewkbuP///s3Xe8HFX9//HX5yYECCGEJCSQUIUICR1CKIqEDlF6R+ktij9Ewa8UQUQpgl8QEOlVDRBD9StF2hVUeicgEpqEHnoAgYTP748zw87und2dbXf23vt+Ph73sbuzM2fOnt27e/az53xOdHsMcHyUCL9h0cqUb7v7yVG+1aHu/j8l+ywMfOzun5rZcEJQbht3fyqlyCIt60/1AvpCmg+1e37U9vlR2+enqO3j7/yV4jvxPkcfHb4nV5qGeNRRhfzWybKTx3z4YfhOH18fPDhcP++8kAu7kj/9KeTZbpFy/alGRoD9rfouTTETWCJxe3Hg1TL7zIyG8y9E+DG30rFp22cBQ6IEsHNK9q/nHN1r/vlhfKY+c3722Sdcrp0YxLfeevA/oT/8Zmcn4yZOhK22Ktw/fnzIzZXVNdfA0KEhorzDDvDooyEwNnZsCMZddx3svXcI0kGYWjdnDrz2Wgh4QHhDWHJJ2HPPcHvkyDAls9RllxUS/wG8+26YAtpX/O538L3vtf48Z50VprZ2t3PPzeWXCZG2NN98edegPdS7SEhrbARkDoAlmdnewJQ4+AXg7s+a2d5mto+7X9KE+p0MTDWz/QiD6HaKzj0emBz9EDkWOM/MviD8QHlyluCXiIiI1Oj446un+4lts031fZLBsH41pkHvaTnA3H3DZlakggeAMWa2DPAKIeH87iX73ADsRfjVcEfgDnd3M7sBmGJmpwGjgDHA/YCllRkdc2dUxpVRmdfXeQ7Jy/bbF66vtlr4S9pvv+LbAweGy/nmgw02CMG29dcPI97++c8QvR47Now8iwNksdIVBocMacpD6DE2KTvzpbni56i7NfML/6abhpx07W7bbUOQWKTUvPPmXYP20F4BsEa8SQhOGfAS4ISZqHOB85pxAnd/G9g4ZfuDwP7R9X8CKzfjfCIiIlLB0KHhctiwyvtdfTVMKLeGTkIyiDVwYAiCzZ3b1itCtl0m11LRSKzvA7cATwNT3X26mR1vZltHu11ESPg6A/gRcER07HRgKiGtx83Awe4+t1yZUVk/IeTNmEHI8XVRPedoTWtISw0YAJ2dIfgFYarnOeeEANq884bVH08/HU46qXDMMsuULy8e0vnVlBSAW2/ddVtslVWKv2husEHmh9BypYkKa43012v+mlLSNM8qq4RRg81Q6XncaKPmnKMZdtop7xpIu+opAbCJEwv5KFqhvQJgK5nZ1JK/P5nZ1GoHuvuN7r4tsCfwe+APwHfcfVt3v6nVFRcREZEmGj26el9t8mQ4//zCzJrkQnGHHBIWsfv00+IBJZWUBrp22SV9+2KLhQXwKh3bTXpCEnzc/UZC7q7ktmMT1/9LNKw+5dgTgBOylBltf56UJcPrOYf0QoceGi6PPDJMrxw0KEyNvPdeeOaZcN/114c3k+OOC6tWnnIK7LtvyEl2xx0hkHbqqYWVxNzh8cdDHrNlloELLgirZR5ySLh/4EAYMwaefbbbH24Xq6xSnAOoOwJgM2bAk0+2/jxpBgwIz+Pee5ffJ2uesP4V3m6vuaZ9Rg+23wp30i56yhRIs9YGqdorALZWvQea2Qru/i93f58w2l5ERER6qhdfrN5H6dcPDjigcDs5zfGMM8JfLcoFsUq3u4cc320wMqxHBMBE2s4nn8A884TrI0YUj+jaeuvC7fhN6O23w+UPf5he3iqrFL9hTZgQgl5bbgmffVa475hjasuH1mxz5hTfTgbA1l8f7r67+edcdll4LnUxsNpssgncdlttx3R0FJ5nCDnhLr+8eJ+TTw7TBqupFABbaKHqx6+5Jjz0UPX9GtVdo/qk5+kpI8CSC7u0QhsFwNz9pXqOM7PJwHJmdgawsbtf2tSKiYiISPeq9F2jnEZ/+C49vpYAV07BsMyP2MxGmtkeZvZrM7swutzDzBZtZQVF2tJ887U+UBCvqPHJJ4Uvc5tvDg8+CFddVVhlozuVBsA6OsJKoO+/XxwoarZm5ACr50urWfHjKn2Tv+CC9IUnzj2367Z4zn29OjvLB1CbSSPApJyeMgLs88/7TACsARcCjwPfBFr45i0iIiJtq9F+f2nQLe4jZQmMtWsAzMzGmtk0Qo6rPQgdpdejyz2A6WY2zczGtbSmIn1NnPfqk08KbybzzBNGAu28cz5fwkoDYO4wfHgIxlUKCJaupLjppvDee9nPW5oDrLMTXn45fd94YYKrr648dRHgwgvTt6+2Gpx2WrieDIAlH+N228H++4f59qXPRdqyvyNGVK5LtQDZoEGVc841iwJg6fbdN+8a5K+nBMDuvrvPBsDMrMobTRDlQh3s7ucCM6rtLyIiIr1Qo0Goct8b0qZAAsya1XURuW6W5ZvOpYQVEUe5+2bu/gN3/2l0uRmwGHAVhWTxIpLFTTfB/RUWDI1HPX38ceHLXDIYU+8XvJNPLr594onw+uvZjt1nn+LbyTpUCpxsXLII2Jw52b5Mx1OuSkeAjRoVkjSmmTQpvMluv33XVTtLlavzyisXRlsl27zSaLBqBgyofP/06fCrX1XepzumJzYzALbmms0rK2/JfAl9VU8JgEGfDYAB02rYd+HocrWKe4mIiIjUolxgbdiwwve7dh0B5u5ru/s0d/+0zP2fufuf3H3d5ldPpBfbYgtYq0L+4iWXDJeHHVb4wpUcZhpve//92s672GLFtw88EEaO5OGzz668ctrhh8PYscXbkkGdWoIzc+ZUDwhBIeBUOgIs3n7zzV2PSX45rTZlsFywJ1lGMuiVXDK41jnuZfa/58orw5VFFw254CqpZ25/rZoVABs6NDymRi2/fONlNENPGhm3WoviGVn+Z8uZf/6woER36bsBsFp6k1ea2SnJY8zsKDPb1MxymGMvIiIi3W6LLWBq1cWjs8ny/SjnRPiZevRmtpiZ9aCffkV6gQUWCF+0DjigeApkLN5WGni6667K5cZR98GDQxlRUOeDceNgxRXLH/fFF4U3rJVWgltugZEji+tbTukXxjlzsr35xUGH0hFgcTssvDAVDRgQVtQE2Guv8uXHlloqXK67bvo+yUBcLW/eCyxQdv9Pk21Yrcy0PGt77JG9Hlk0M9ATByG++936y+iOoF8W7RAA++pXs+3Xqro2EgDbffeiKcmfVfvfbVQtAbDSKdrVtHcArJbKzQbOdPfTEtt+A3wOTDazE5taMxEREWk/N90EO+3U3DLbOBCWtZf8R2D3+IaZDTezU83sd2aWkgFaRJoqbQpkvNJkaVCk2rzqSl9i4y92aQGLZABs8GDYbLPi+yvlsEoLgGURn6/cCLDkYz/qqHA5enTxvhMmhPPvsUfIHZaUDB52dsKTT8KMGcWP/4MPio+JA32lb9r/+Ee4TFspr8IIsC77VZIWADvssOrl1qJZwROzwvO+zjr1l9MOAbCOjvZYHTNrW7QqANbIKpDuRfWa/ZWvNKFCTbD55nD99bUd094BsFqcCBxvZtckth1KyPF6rrsflU+1REREpG2dckr1fSp9p+kJI8CAVYHrErcvBnYClgDuUBBMpMXSRoBddhm89FJxQGvWrMLqkeVUmuYY23HHrtvmzi18gU37AhivSpklsWEyAFbpy/qECeGyNAAWBwKS7fGLX8C0aTB5cvnyNtig+HYyqLHBBqHtll22+I35888L193Dyo/Q9c175ZUL+6RpVQCs2cGOZgV6zAqB20bK7N+/0LatUm3qab9+tbdzpenN9cq60mq7BsASr29vh4AihEB+rSvqtncArJZe5T3A3wl5XmMaASYiIiLl/fjHzSmnzUeAdbj7OwBmNgyYBGzn7lsBhwA/b1H9RAQKgYTkCJB55y3kCYslc1Sl2XLLygGq+I1ovvng6KPht78t3Dd3buH+tOlFcZAq7cth6bY4qPTss2HUVZp77gkBLQiPO57KCOkjwDo6YIcdavvyn2XfHXYoXHcvBGMmTcpeVnIEWKUAZbKMyy/ven/8eLfZJv2YZgQ+kh9GpaP8alVuKeRa9OsHf/sbXHVVY3WppNoHcEdH9cdQGtDJGqyKnXFG9X3yDoA1MgXSPbyHROZ/9dUmVKgJ6skV1t4BsJRfL8q6B3gG+HIVb3f/ONo2RSPAREREpCZtPPUxlrWX/JyZxVl1NwJmuvsj0e0pwCJLR2sAACAASURBVBpNr5mIFMRf0ip9sS0dJQVw9dXFt7/3vcqjceIvdmbwy18Wj7ypNgIsfjOLy19uOTj44PTzfPRRYZ8RI9L3WWed4pEZ8WgwKAQCGp0elyVQ0L8//PSnhdsrrQTvvgt77pm9rGQALEsQY6ON0nN7xY83EUjokqPsb3+rXn4lyfJqDeKUlpMcAfb446FutX7o9e8fcr2ttFL5fRZZpP56ZpElAPb008W3a3ltjhuX/bVYTjKXXKs0OgLs08JaOgNnzmxChRoQv7ZbmSw/B+7+Rg27R/PoKY3Kp02NFBEREWlc/F2gzUeAnQ5MNbPDgOOA0k5RhezXItKwaiNpnn4aXnihcPub3ww5sb7+9eL9ttyy/sh8tRFgcd3ifZZdFjbZJFwvXZXuww8L1+sZVVI6Aiwt+JdF1pEyhx4K221XCOgNGdJ1n2pz3ZOj68qJA1vl6hU/3uS0zOQCAV98Uf4L/TLLlD9vUnKKbCMBsGQOsI6OEEz9xjdqT4ifFvRLevbZrsGnWmUZAVZtyl6tI8DWXrtw/ckns/1fViqzNPddKzQ6AmyJJZpXl0bFz1c9o7naewRYLf4L/AK4oGR7PDXyim6vkYiIiPRuPWEEmLv/kfCL4DbATODkxN3jgdeaXzUR+dJ++4XLcvm7VliheATI//0fnHBCcSBl772rf4mv9MWu2giw+L74cu5c2HbbEKBITtmD4gBY8kv9vvtWrl8sfhxxUGT48GzHlcr6BjxsGFxzTeVE/1nL+spX4KST0u+LH0+55ymevnrQQYVtyVFyc+eG8tPssku2+iUfYyMj7MrlAKs1eBDXodzCCcstV33qb6OyjAArHclYS9uZZQvGVgqAdUdOrUY7LPPP33XqcF4qvZdV02ajxsxssJntZGY/i/52NrOFMhx6HbAJ8O1EWR2EwNczQIVlgUVEREQySsvR3OYjwHD3S939G+6+ubu/mbhrfWBa86smIl864QT45JPaRzol31jiL3qDBoWAUTK/VxZffBFGdQEcckjX+0sDYHHAYrnluu675pqF6/Gokh/8AC66CJ57Dp54IludRo8OI2kuuyzb/q00YAD85Cchd1kps0Jwa5554Igj0suoNtV10UXD87jddoVtyaDo3Lld88IBXHwxHHlk9ccAxQGwWkeAxSuTxtJGLtYScBg3Dk47LVyvtnLoFTUOVllsscL1asGnLAGwQYNgvfUKt5NtV26ab1IcwKoUyKoUVOuO1TLdYfvt6z8WGptG2YjFFy++HbdzmwWzamVmpwHnAMOBe4H7gGHAudF9lfQD1iKM7I8d4+4fuvs/gNuaX2MRERHp9ZL9/blz4dhjC7dzHgHWcI/Z3X/VjIqISAUdHZWnzlU6LpYcjfPWW9mOT755DRwYcjFVW+WwNABW6qGHikcpdXSE3EBxwKDcCKY0AwbAvfdm3x/CdLnttw+X8WNZKMtgiSrM4OSTy98XT1usFKjIkuutVLK8+PjLLoO99ipsn3/+7COEFl44vewsrr4afvYzOPHE5owAmz69cP2rX+16/9FHF67vuitMmQJ//nO2spMfvtU+iPv1y9Z+v/oVrL9+uJ5su9KFCipNIZ5nnvLTPbOOAGvVFD13OOecMBqynmOh9k7Pbrt1DW4+9VQIjtai9H+qkRFg7TUF8nR3fzll+zlmtnjK9qTJwPPAGOAP0bZ3E/dPIEyFFBEREalPaR+s3XOAmdkhZlbxJ1szm9fMUoaEiEiu0gJglcTJxNNGaZQL7sRKA2DlvsSvsUbXHFoDBnTfm+AKKxQHU6ZNg0ceKb9/vS6/vBCgMSsEBCsFlapNgSyn9Mt8aYL+OXO6fvhMnVo8YilmBj/8YfW6punfHzbeuFBOoyPAktKClJXyXlVrw1peb1lGgJWWucACId/Z/fcXjr3qqjA9udw5oHKQK+8pkFD//2n8vNf6/A8c2HVU5dixtZ+/9PlrZARYe40auyKe7mhmK5rZ+WZ2mJn1d/dqKw3MBj4ijB6LDTOzMdH1CkvWZhNNzZxuZl+Y2fgK+21hZs+Y2QwzKzNEVkRERHqEarmRc5RlmMGiwAwzO8/MdjezNc3sq9HlbmZ2HvAskGGOh4h0q1oDYJddFkZ4lCat/8Y3inNNpYlHqMVJ2atNWatHnAOrUck33h12yJ4gvhZ77FEIJEGhPSoFMUoDYFnzdn3wQeX7P/+8awBgp52Kp6KmKRcAe/LJ8sckf9WJgx2tCs588kn5+5KLA0BYhbKcLEnwK+V/iw1KxAv69YPf/Q7WWqtQ/jrrpC+gEJ8DKiearxSQbGYbb7ZZ+fvix1LvlMtaA2Cfftr1/agepQHUuL3bK5hVjy/c/f3o+qXAo8C8wFkZjv0cWBNINsJJwE5mdi5Q4R89syeB7YG7yu1gZv2As4EtgXHAbmZW4xA/ERER6VHadQSYux8FrEEIcu0H3ETo0NwI7Av8C1jd3X/awnqKSD2SQY9yI7KShg0LSQrreUOaPBl+/GP4afRW0IppQnffDa/1oDU34qDEiBGFAFilQEXpFMgrr8x2nmrBiDlz0p/TcqOa4ucuLneeeeC2jOmA0vLONWMEWJrSVU6T5y4NgJW2e61TIMstQPGHP4QpnwCrrhpGGNZaPsCOO4bFIk49tfw+pc9XPGIzrmMjPv64/Hkq1SGrkhFgzxx+OLz6avE+yccTO/HEEFyvZWp0mp+WdFG+//0wWvF736u9rPaaAjnXzPqb2bJAf3f/nbufCCyf4dgN3f377n5mvMHd/+vuJ7r7ZHevY65rMXd/2t2fqbLbBGCGuz/v7p8BVxIWXRIREZF29Oqr8NJL5e+v1FfqASPAcPe33P3X7r6xu49w9wHuPtLdN3X309397VZXVETqkPyyWs9KibV80ZtvPjjlFPja10JC+6zBm1ossEBIBN+oH/0oXKZNAWymIUPgggvglluyTYGsJQfYq68WgoFpZf7974WgQdoUyErniZ/3eLTaF18UnyPLh5pZIShTTwCsWo6nM8+ECRPSzw3htZJUb3J5KNR/iy263vftbxcvMLDDDuHyjTe6Hv/FF4XA3KhRxeUMGgTXXZe+aEQsGcT+5JP6A2DJPG+xrAts1Ju3IX7eo9f4ZwstVLwQAaSPeIz/3xsN8A0cGIJesREjQlA3LehWTXsFwE4B7gH+DJyX2F7jiim5Gg0k85jNjLaJiIhIO1pssfSFt2rpH+YUCKs6h8HMtgQ2A/4DPA487u4ZM2iLSK6SbyzxKJVGy6mmowN+85uu22++GZZYov46NNP663ffl9j99w+Xd98dLmuZAllJMniQtv/XvhZW+pw0KayUmQxCxTneqgXa4nLnzi0+R6VpY8kASXyeZOAmS7sffHD1VUqrBWySI8Cef75rnZOv6WrtHd9/003V/xduuilc3nxz13O5h1Fil1wC224L117b9fhKqyR+9lnh+nzzFT9/lYJ4P/gBnHFG4fbUqbDppoXbBx1UvH+5aZrQdYRf1veG0hxgacelPadpQdQsTj01jEiNJafkljt/ObNmFf+A0EYBMHe/yczuBhZ19xkAUQ6vFzMcvpKZTS3ZZqFY3zlrHczsNkK6jFJHu/v1WYpI2Va2kc3sQOBAgJEjR9LZ2Zmlmn3O7Nmz1TY5ULvnR22fH7V9frqr7SdGl9XOtcLrr7Mo8PTTTxNnbC09ZtX33mNh4PHHH+edehZ5a1CWJB6nA3sTkqSuA+wP7NbCOolIs8RfGs2as9JhIzbfPN/z5y3LKpD1JsGPrbJK8e0ttwzn7d+/+Ev7rFnhslpQIVnXWkeAQSGY8+mnlc9Tj0qBIigOgC22GLz+evl9s44AyyKtrNJ8U3vvXf74LAGweHRbsl7lXjP77ts1f19pIDqZq+7gg+EXvwiBuuTINgjPe7XVE9dYAx5+uOv2LAGwwYPhjjvggAPguefCtuR7WC0OPzzUJW1RhloNGxZGUz7/fLjdRgEwM9sbmBIHvwDc/Vkz29vM9nH3SyocvlYz6uDumzRYxEwg+aJcHHi1zL64+/nA+QDjx4/3iRMnNnj63qmzsxO1TfdTu+dHbZ8ftX1+urvtq57r4osBGJtYsKjLMVFe3VVWXRVyeN1kCYB1Ao+5+ydA0fJVZrYGMN3dW/DtRkQaVm++HmmdSr901DIFstRDD8HSS3fdHgdkkgGEOFl7uaBJ6RTI0jplnQKZFgArPfamm2D55YtzPGUJdlRKFg8ht9P994frHR1dA1PJczQzAJZWr2pBo6TS18fhh8Ovfx2uf/op3HhjYRXELAGwlVfuuljAoJLF/dLqd8QRXQNg0PW5KQ0s3X9/uF060rEkAOZpz3H//rDhhmGRhdLRYI0Ok28kAAbwxBPhtbrjjm0VAAPeBKaamQEvEUZOfQWYS/GUyC7cvULyjm71ADDGzJYBXgF2BXbPt0oiIiJStyx9pXadAgn8HXggGib/EPCIu8e/zH0HGGdm8wFvAE9QmCb5YgvqKyK1qOWLd5r2+qLXs+22GzzyCPzsZ+X3aSQAtsYatR9T7oMnLQCWltw+aautivdLBsCSU/fiY486Kuyz+ebhcu5cOOssOPTQbB+I1UaAJQNqHR1dA0S//CXsuWe4Xm3EXaMBsOuvD48tSyL30se19dbw9tth2uSnn4ZRfWn1KvcYSnOhQfkAWBalz01HR/EU12pB1fg1nvYcx6+3tCBxPZ2k0oUIKk3dfeCBsGJnOQMHhpFg0Fbvi+5+I3CjmS0EfDXa/O/EypC5MrPtCCtSLgL8xcwedffNzWwUcKG7T3L3OWb2feAWoB9wsbtPz7HaIiIikvTyy80LauWcBD9LAOxIQqBrOLAqsAuwJ4C7/yjeycwWAVaO/rYCDmh2ZUWkRvEbTOkKaFnFI2OyJsiW8gYMSM+NlrTaauFy0qTi7aUBi2YpDXwcc0zx7WQwo1oA7IYbuu4XB4PSRoAtu2yYnleuLtVUC4AlpQXA9tiDl2+4gSWmTWvuCLC0tllxRTj33GzHlwZ/OjrCaLZLLikOJJbWKy3wtNBCsM8+YXRgUmlQrJGEpaUBsGrSVgaNVcqP1+oRYFkW12j0B4UWMbOVgIHAo9Eqim3D3a8FuiS7i35InZS4fSNhdXERERFpN4sv3ryyekAA7K/AM+7+CHBr8o7kFMgoMf4d0Z+ItINGp/187WsheHbwwc2rk5S3+urwwQew4IKFbXffnT61sRmSQZMpU8IotaRygaEsUyA7OsJopcsug5VWqq1ezRgBVjr6p1KQq94AWDKAF4tzvdW7WmlpIKujo3wutWQbpD2Gww8P29deOySEP/XU9H1rCfCV7ltrEvxoFFbqK6jS89CMEWCNLsndpgEwYDvC6PstgONzrouIiIhIecnFoXKQJQD2DeAxM7sCeITwC+ML0X2aAinSm3V0hITY0n2SwS+Ar3+9dedKfulPBr/qmQJZul9HB+yyS1htMEp2WXRsWtBlv/3g3nvLj1js6ChMY0ubalguiGGWPkIqWddKyk3rW3HFrtviUVpXX125zHKGD4fjj4eTT4aPPw51iwOghx9evO+UKbDUUuH6MssUtqc9P/HKjuPHd72v0SmQaR59tDCiMVmnekeA1aP0sVaaApmlDXLusFXwNuHHyC9XXDSzowi5te5z9w9yq5mIiIj0TQ8/3DUPbVK7BsDcfU0zGwasEv1NIpreqCmQIiI9WLUv/eUCElkDYFAc/ILKOaAGDYIrrihfdv/+hQBTLVMgoXIArNoHcLl2SnsMcb2yLOv8j390DcqYhamoV18Njz0Wzr3ggul1XHLJwvVjjoFbbw0BxGWWKSSjj8Xn2WyzruVkDYC5pyfBTxPny4qNHFlcj0o5wNLUMwJs0KCQVP/OO7uOAMv6OJLadwTYMsDGZravux8VbfsNMAGYbGZDEttFREREWuOUU8LlzjuXT6HT7lMgzexOCqO7ngCuT9lnPWAH4OVonynNraaIiDRdHBT62tfS708GRpIfVpVG0qQdm6aeD79GAmAp0+u+XImw2uOpltg9acoUuPDCMJ21mvXWq75P1uDUPPPAP/8Jb7wBZ5/d9f5KCyw0mgOsklGjwoIDu+wSbserQMb3f/QR7LUXZMnF1ojePQVyDvAnd38nse1QwgiwczUCTERERLrFyJEh/UkWOfWnqvas3X1D4PvAvcA3SQ9uXQhcAexFWLr6z02so4hI79OqxPa1iL/Qr79+8fZqH0i1jACr5dhqkgGStCmQafWIVVrpsVoALPkL1hVXVA6+Lb44HHdc837dqnV6YjL3WNoIsLR2KHeOadOKb6eNAMsS6Nxnn7CKInw5VXNu/PofOLBQp0rPUb3tmdYGpdshWzu3bwDsTuAgMzspse03wOeEEWAn5lMtERERkRI9IAcY7j4LuB243czSEqy+4e4Pmtm77r6fmV3c1FqKiPQ2L70Es2fD88/nV4dx44ovY/EHUjLoUC6wUiprAKzeEWBp1yudJ9ZIACw5nXHXXcP0wtNPr3xMoxoJoKUdWzr1cOhQeCcaMFTuudphh/Jlx9Mva63nWWfBpEl8mJwimeU10WgArHQEWOnroZZlu9svADYUmOruz8Ub3P1jM3sGmOHuM/OrmoiIiEhCzv2pqj95mtntZnaWme1vZpsTkuKXutvMBgIzzWwzICXLroiIfGno0OIcTnnYZht45BH4znfS708GBUaNKiyB3A4BsEoBrdiPf1y4XmnqX7VgWrkcBu1gk03gzDPT70s+TxMmFF++/Xbhvlqei/79YepUuOuucDtu17POgr/8pfrxAwd2DaxVSoxfTx3Tyq43ALbAAoXr7TsC7AlgEzO7oWT7icDxZnZNDnUSERER6ardc4ABmwNjCcnt1wKOLd3B3Y8FMLPDgGOAE5pYRxERaZXkSn1pllwSDjooXN9oI7j88q4rVSbFH2rlPtw22yzkyVpppdrrWi0AVnrOU04pJOOEELjYZJPCqorx/muvHf6OPjr9vLXmG2umasGWW2/tui2t7b/1LXjllRDILFXLNEuAnXbqeq7dduua+D6rSonxS8+Txe67px+fHOlX+pjT2mD6dFh++a77tF8ArB8hFcXbJdvvIeQHm93tNRIRERGppF2nQLr7HAoJ8IuY2eHAw+5+R7TvW8Ahza6kiIh0o+QH0ksvFa6fc05Y1WXllcsfW20E2F57hWBMPcGSZABsxIjy567kttu+vOrJYN2RR4Y6H3lk12OyrOjYbM2YAlnasUgLfkHlANimm6YH2UqPbaQT0+wpkH/8Y9eyS69nGQHWr1/xfjn/YlnBWGBHYFa8wcw6CLlZVwE2zaleIiIiIsVy7k9lmQL5fTO7yczONrODzGzdxN27xMGvxP5rm9lvm15TERHpXqUfUAMHwje/Wbxt6NDi21mms9U7UigOgD37bPWgVC0frnGdjzgCJk7sev/o0dnLarZ6Aku15lao1FbXXQfjK2Q1iJ/n0jxqtdS70gqVWYwdW7he+trKOgUyy+qY7TsC7F/A/wHnJLYd4+4fuvs/gNvSDxMRERHpZu2eAwzYD9iNsKLQu8BWifs+Kd3Z3e8DqsypERGRbpc1KFTLB9Jzz4WpdbEs09nqFQfA5sxpbrnJx3v99fDkk4XbZ58Nv/hF9eOarRntl7V+lQJPAwd+uXJjqpNPDpdDhhRvHzkSFlkEzjij+vnTRoBdey385jfVj4VCXrPDD4cZM8qXXesIsHIBsGqLJnS/ScBiwE8S295NXJ/QvdURERERKaMHrAJ5B/CZuz8LPAtMTdz3kplt6e43lRzTdr1DEZE+74MPavuwyRKEGTKkOPiRZQRYveIA2Ny56fdvvz1cU0O+77QP4MGDYcUVw/V+/eB73yt/XLuqtX6NPFf77hv+Sg0YAG++ma2MtNfMttsW71PpMQ0YEC4XX7xrIC4ZAIv3Kz1XufJLt7Xv8z4YuNvdr09sG2ZmY6K+26Cc6iUiIiKSro1HgH0deMzMfmFm25lZ8qfgQ4BDzOz30X3fMLMTgWeaUTkzG2pmt5rZs9HlwmX22yva51kz2yuxfU0ze8LMZpjZmWah91quXAvOjPZ/3MzWyHCOTjN7xswejf5SEtOIiLSBQYMqJ7CvxQMPwGOPdd3e6HS2SqqNAPv2tytP1ytV6Reof/+7eGRbXpqRW6uarM9VqzoqjSbBP/542H9/OOCAyseffnrhdpYk+KXacAqkmf0UuBM4yMxOStx1ErCTmZ0LPJl6sIiIiEh3a/ccYO6+NnAZYSTYksBRifvedfctgQsI0x53B14Cvtuk+h0B3O7uY4Dbo9tFzGwo8DNgbcIw/58lAmXnAAcCY6K/LaqUu2Vi3wOj46udA+Db7r5a9JfxJ28RkTaV5Qv++PGwyipdt7dyCmSc96vSFMh55slc3IdjxoQrq67a9c4xY8I0vjTdEQBpRhL8Zu3f6o5Ko0nwF1kELrggTNcsVzaEfHVbbx2uNzIFso0CYMBG7v5Xdz/J3b9cwcHd/+vuJ7r7ZHevYVikiIiISDdo4ymQAP/j7oMJvzJ24e53AXc1rVYF2wATo+uXAZ0U57gA2By41d3fATCzW4EtzKwTGOzu90TbLwe2BW6qUO42wOXu7sC9ZjbEzBaL9u1yDsIKSyIivUuWgES1Y1sxAuyqq+DMM2H11avvm6Hus77xjZBQf7nlmlC5NtRTRoBlec1sumkYdRhbdtmQfw66BrPSyo5fD/H02XoCYDnnrBARERHp8XpAEnyAvMapjXT31wCiy7TphaOBlxO3Z0bbRkfXS7dXKrdSWWnbY5dE0x+PiadZioj0ePW8nbVyCuTSS8NppzW37HqCXyusEC4rJYdvVDxSabHFaj+22TnAWv2xlmXU4PHHF99++OHazhGXHZ+r96wCuZKZTS35+5OZTa1+qIiIiEg36wFJ8AFaVjszuw1YNOWuo7MWkbLNK2xvdlnfdvdXzGxB4GpgD+DyLgWbHUiYVsnIkSPp7OysUpW+afbs2WqbnKjt89GO7f7VV19lFPDMM8/wWo11W+jRR1kdeO+DD3g0h8e1+gcfsBDw8MMP88Fnn1Xct+62HzOGwWeeyQdDh0KrHuPXv84811zD588+G0ap1WCpF15gGeClF1/khQr1mxhd/u2uu/D+5bsD4958kxHAU089xZtNerzJtl/l7bcZCjz+xBO8kzaNsaS+8XGlt9Os8f77DCZ6PXz6Kau89VY415NPFp3L5sxhg+i6m2Hu3Hvfffz3pZe+3Ge+115jHWDunDnc3T7/s2vVuH+3/khnZjsBxwFjgQnu/mCZ/V4EPgTmAnPcvYZkfiIiItJj5DxeKGsArL+ZbUiFjpO731FPBdx9k3L3mdkbZraYu78WTUVMy681k0I/GGBxwpTGmdH15PZXo+vlyp0JLJFyTLlz4O6vRJcfmtkUQo6wLgEwdz8fOB9g/PjxPnHixNJdhPBFRm2TD7V9Ptqy3adMAWD55Zdn+VrrFv2aM2ThhfN5XIMHA7DGGmvAeutV3LWhtt9ww/qO6w7/+AcASy21FEtleHwbbLhh5WmE554LwLhx4xjXpOe0qO0XDik1V1ltNchQfulzVvE5jBZ9WGPNNWGddWChhcK5Vl+9+FyJlUVt9GiYOZN1Vl8dll++sM+LLwLQr6Ojbf5n3f2l6nsV7d+CoZkVPQlsD5yXYd8N3X1Wi+sjIiIifVjWjtCbwMXARWX+LmxJ7eAGIF5xcS/g+pR9bgE2M7OFo8T0mwG3RFMbPzSzdaJpiXsmji9X7g3AntFqkOsA70flpJ7DzPqb2XAAM5sH+BZabUlEerpGcoC1cgpkFu01PS1fzc4B1ipZF0445xy49976zlFLDrBLLoHRo2HxxYv3ac8pkG3N3Z9296asDC4iIiK9SDtPgXT3pVtcj3JOBqaa2X7Af4CdAMxsPDDZ3fd393fM7BdAnB33+DhZPWE1ykuB+QnJ72+qVC5wIzAJmAF8DOwDUO4cZrYAIRA2D9APuI2wIqaISN9ULsdSd+vL6Rhrza2Qta1anQS/Wj0mT2687HKvz+S5N9kEZs6kCwXAWsmBv5qZA+dFo+ZFRESkt+khOcBy4e5vAxunbH8Q2D9x+2LCCLW0/VaqoVwHDi5Tly7ncPePgDWrPQ4RkT4j62geaZ1mdyxa/Vy2cuXQ0gBYNAWS+eYr3i/LY9QqkKkq5XJ197SR+2m+5u6vmtkI4FYz+1e0wnja+ZRTNYN2zC/ZF6jd86O2z4/aPj89se1XnDWLRYDpTz7JW8OHd/v52zoAJiIiOWhkCmQrgxmSTdZAzbhx8NRTra9PNa2cNlvaBhdfDJdfDhMm1F6WRoClqpTLtYYyXo0u3zSzawn5VFMDYMqpmk1b5pfsA9Tu+VHb50dtn58e2fYjRgCw4oorZsr92mz6hiIiIsUaCYCNjxZv+/GPm1cfqU3W5+1vf4O//736fjvuGC7XWKP+OlVS76jBKMF9RaWv5eHD4Uc/Kn+uoyssQK0AWEuY2QLRStpEqSU2Q/lURUREejdNgRQRkR5v+PB8AwQKTsBWW8ERR8DOO1feb/jw8FfNDjuEIFWrpkLWO2rwxRfh44+z7Zul7tVeO5rWWzMz2w44C1gE+IuZPerum5vZKOBCd58EjASuDesV0R+Y4u4351ZpERERaR3lABMRkbayUpQ6caml8q1HI/pysGLcuOZ3KlrZnvWOABs6NPxV0shoxlIaAVYzd78WuDZl+6uERYdw9+eBVbu5aiIiIpIHBcBERKSt/OAHsO66sM46eddE+oJmBqlaWXYcAIsDdiIiIiJSm5x/pFYOMBERKdbRoeCXdJ9WJsFvJo0AExEREWmOnPpTbd7bFBERkV6tp4wA68vTakVERESaQSPAREREmkSjc3qeepPg11K2coCJiIiI5C/nHGAKgImISO+j0To9R71J8Ltbu0/RFBEREWl3CoCJiIhIn/XjH4fLfDz2MQAAIABJREFUMWOaX7amQIqIiIi0HwXAREREGrTWWuFy2LB86yHZ7bxz6AQtvHDzy540KVyOGNF4WRoBJiIiItIY5QATERFpktNOgwcfhOWWy7sm0g5OOAFeeQUWXbTxshQAExEREWkOjQATERFp0IABsOaaeddC2kW/fjBqVHPK0hRIERERkcYoB5iIiIhIm9MIMBEREZHGKAAmIiIi0uYUABMRERFpjHKAiYiIiLQ5TYEUERER6dEUABMRERERERERke6hKZAiIiIibW7eefOugYiIiEjPNGhQuJxnnlxO3z+Xs4qIiIj0NOecAxtskHctRERERHqmk0+GRRaBXXbJ5fQKgImIiIhkMXly3jUQERER6bkWXBCOOy6302sKpIiIiIg0nZmdamb/MrPHzexaMxtSZr8tzOwZM5thZkd0dz1FRESkb1AATERERERa4VZgJXdfBfg3cGTpDmbWDzgb2BIYB+xmZuO6tZYiIiLSJygAJiIiIiJN5+5/dfc50c17gcVTdpsAzHD35939M+BKYJvuqqOIiIj0HQqAiYiIiEir7QvclLJ9NPBy4vbMaJuIiIhIUykJvoiIiIjUxcxuAxZNuetod78+2udoYA7wx7QiUrZ5hfMdCBwIMHLkSDo7O2utcp8we/ZstU0O1O75UdvnR22fH7V97cy9bB9DWsTM3gJeyrsebWo4MCvvSvRRavt8qN3zo7bPj9q+vKXcfZG8K9EsZrYXMBnY2N0/Trl/XeA4d988un0kgLuflKFs9afK0/9YPtTu+VHb50dtnx+1fXmp/SkFwKStmNmD7j4+73r0RWr7fKjd86O2z4/avm8wsy2A04AN3P2tMvv0JyTI3xh4BXgA2N3dp3dbRXsh/Y/lQ+2eH7V9ftT2+VHb1045wERERESkFX4LLAjcamaPmtm5AGY2ysxuBIiS5H8fuAV4Gpiq4JeIiIi0gnKAiYiIiEjTuftyZba/CkxK3L4RuLG76iUiIiJ9k0aASbs5P+8K9GFq+3yo3fOjts+P2l6ktfQ/lg+1e37U9vlR2+dHbV8j5QATEREREREREZFeTSPARERERERERESkV1MATHJjZkPMbJqZ/cvMnjazdc1sqJndambPRpcL513P3sjMfmhm083sSTO7wszmM7NlzOy+qO2vMrMBedezNzCzi83sTTN7MrEt9XVuwZlmNsPMHjezNfKrec9Xpu1Pjd5zHjeza81sSOK+I6O2f8bMNs+n1r1DWtsn7jvczNzMhke39boXaYD6U/lRf6r7qD+VD/Wl8qO+VGsoACZ5OgO42d1XAFYlrP50BHC7u48Bbo9uSxOZ2WjgEGC8u68E9AN2BX4FnB61/bvAfvnVsle5FNiiZFu51/mWwJjo70DgnG6qY291KV3b/lZgJXdfBfg3cCSAmY0j/B+sGB3zOzPr131V7XUupWvbY2ZLAJsC/0ls1utepDHqT+VA/aludynqT+XhUtSXysulqC/VdAqASS7MbDDwDeAiAHf/zN3fA7YBLot2uwzYNp8a9nr9gfnNrD8wEHgN2AiYFt2vtm8Sd78LeKdkc7nX+TbA5R7cCwwxs8W6p6a9T1rbu/tf3X1OdPNeYPHo+jbAle7+qbu/AMwAJnRbZXuZMq97gNOB/wGSCUj1uhepk/pTuVN/qpuoP5UP9aXyo75UaygAJnn5CvAWcImZPWJmF5rZAsBId38NILockWcleyN3fwX4NeFXg9eA94GHgPcSH2YzgdH51LBPKPc6Hw28nNhPz0Nr7QvcFF1X27eYmW0NvOLuj5XcpbYXqZ/6UzlRf6otqD+VP/WlupH6Uo1TAEzy0h9YAzjH3VcHPkLD87tFlB9hG2AZYBSwAGHYbCktEdv9LGWbnocWMLOjgTnAH+NNKbup7ZvEzAYCRwPHpt2dsk1tL5KN+lM5UX+qrelzpRuoL9W91JdqDgXAJC8zgZnufl90exqhA/dGPFwzunwzp/r1ZpsAL7j7W+7+OXANsB5hqGz/aJ/FgVfzqmAfUO51PhNYIrGfnocWMLO9gG8B33b3uHOgtm+tZQlfEh8zsxcJ7fuwmS2K2l6kEepP5Uf9qfypP5UT9aVyob5UEygAJrlw99eBl81s+WjTxsBTwA3AXtG2vYDrc6heb/cfYB0zG2hmRqHt7wR2jPZR27dWudf5DcCe0Uou6wDvx0P7pTnMbAvgJ8DW7v5x4q4bgF3NbF4zW4aQRPT+POrYG7n7E+4+wt2XdvelCR21NaLPAr3uReqk/lSu1J/Kn/pTOVBfKh/qSzWHFQK2It3LzFYDLgQGAM8D+xCCslOBJQkdi53cPS35nzTAzH4O7EIYtvwIsD9hnviVwNBo23fc/dPcKtlLmNkVwERgOPAG8DPgOlJe51EH+reEFV8+BvZx9wfzqHdvUKbtjwTmBd6OdrvX3SdH+x9NyGUxBzjU3W8qLVOySWt7d78ocf+LhJXTZul1L9IY9afyo/5U91F/Kh/qS+VHfanWUABMRERERERERER6NU2BFBERERERERGRXk0BMBERERERERER6dUUABMRERERERERkV5NATAREREREREREenVFAATEREREREREZFeTQEwERERERERERHp1RQAExHJiZl928weMrP3zOwdM+s0s9F510tERESkJ1BfSkRq0T/vCoiI9EVmtjfwU2AX4GFgGLAt8G6O1RIRERHpEdSXEpFambvnXQcRkT7HzO4GbnD3U/Oui4iIiEhPo76UiNRKUyBFRPLxCbCvme1sZsPzroyIiIhID6O+lIjURAEwEZF87AncAvwaeMPM/mxmI3Kuk4iIiEhPob6UiNREUyBFRHJmZmsC1wDT3P2wvOsjIiIi0pOoLyUiWWgEmIhIztz9IeAJYIG86yIiIiLS06gvJSJZaBVIEZFuZmZHAHcDD0abdgMmAhvnVScRERGRnkJ9KRGphwJgIiLdbzBwCTAK+IiwdPfG7n5frrUSERER6RnUlxKRmikHmIiIiIiIiIiI9GrKASYiIiIiIiIiIr2aAmAiIiIiIiIiItKrKQAmIiIiIiIiIiK9mgJgIiIiIiIiIiLSqykAJiIiIiIiIiIivZoCYCIiIiIiIiIi0qspACYiIiIiIiIiIr2aAmAiIiIiIiIiItKrKQAmIk1nZuea2TGJ2981szfMbLaZDTOzr5nZs9HtbfOsayuY2bxm9pSZLZph36XNzM2sf5Pr8KKZbdLMMpvNzCaa2cwmlXW/ma3YjLJERERq1ehnWmnfqTup36Z+Wxbqt0lvoACYiNQk+oD+xMw+NLP3zOyfZjbZzL58P3H3ye7+i2j/eYDTgM3cfZC7vw0cD/w2un1dPo+kpQ4E7nL31/OuSBY9odOVwa8JrysREZG6JPo4s83sdTO71MwGteA8e5vZ35Pbkn2nJp9L/bbq1G/rfuq3SS4UABORemzl7gsCSwEnAz8BLiqz70hgPmB6YttSJbcza/Yvbi1yEPD7vCvRx9wAbGhmi+VdERER6dG2cvdBwGrA6sCROdenGdRvq0z9tu6nfpvkQgEwEambu7/v7jcAuwB7mdlKANEvpr80s68Cz0S7v2dmd5jZc8BXgD9Hv7DOa2YLmdlFZvaamb0SHdsvKmtvM/uHmZ1uZu8Ax0Xb9zWzp83sXTO7xcyWiusVDU2fHA3Xf9fMzjYzS9x/QHTsh9GQ9zWi7aPM7Goze8vMXjCzQxLHTDCzB83sg2hawGlpbWJmSwLLAvcltn3TzB6Jjn3ZzI5LOXRfM3s1aoPDspzXzLY2s+nRL7qdZja2TJ0uNbNfJm5/OYTdzH4PLJl4Pv4n2r5O9Cvxe2b2mJlNLFP2EWY2rWTbGWZ2ZnR9n0RbP29mB6WVE+3rZrZchXp/y8weTfyCvUp8n7v/F3gI2Kxc+SIiIllFo4FuIQTCgC+nyv3azP4TfSafa2bzpx0ffT4+l+hrbBdtHwucC6wbfe6+F23/8jMv+tz8VqKs/mY2K9FfyfQZnfKY1G/r+jyp36Z+m/QhCoCJSMPc/X5gJrB+yfZ/A/H8/iHuvpG7Lwv8h+gXVnf/FLgMmAMsR/i1dTNg/0RRawPPAyOAEyzknzgK2B5YBLgbuKKkWt8C1gJWBXYGNgcws50InbE9gcHA1sDbFqYC/Bl4DBgNbAwcamabR+WdAZzh7oMJHaWpZZpjZeB5d5+T2PZRdL4hwDeB71rXHBobAmOix36EFYa2p5436qReARwatcGNhM7QgDL1SuXue1D8fJxiZqOBvwC/BIYChwNXm9kiKUVcAUwys8FRvfoR2ntKdP+bhOdiMLAPcHrcca1FdMzFhF9phwHnATeY2byJ3Z4mPN8iIiINMbPFgS2BGYnNvwK+SgiKLUfoLxxbpojnCP2ihYCfA38ws8Xc/WlgMnBP9Lk7JOXYK4DdErc3B2a5+8M1fkanUr+tiPpt6rdJH6IAmIg0y6uED92amNlIQgfzUHf/yN3fBE4Hdk2W7e5nufscd/+E8GF6krs/HXVYTgRWS/6aCJzs7u+5+3+AOyn8grs/cIq7P+DBDHd/idDpWsTdj3f3z9z9eeCCRD0+B5Yzs+HuPtvd7y3zkIYAHyY3uHunuz/h7l+4++OEzscGJcf9PHr8TwCXUOj4ljvvLsBf3P1Wd/+ckEthfmC9MvWqxXeAG939xqjOtwIPApNKd4za7mEg7hhuBHwc19Pd/+Luz0Vt/Tfgr5R0uDM6ADjP3e9z97nufhnwKbBOYp8PCe0vIiJSr+vM7EPgZUIw4GcA0YikA4Afuvs77v4hof+xa1oh7v4nd381+hy9CngWmJCxDlOArc1sYHR7dwoBisyf0VWo3xao36Z+m/QhCoCJSLOMBt6p47ilgHmA16Ih0u8RfiUakdjn5ZRjzkjs/w5gUR1iyUSmHwNxEtslCL/KptVjVFxmVO5RhFwYAPsRfvX9l5k9YImpCSXeBRZMbjCztc3szmiI/vuEX36HlxyXfIwvAaOqnHdUtB8A7v5FVEayDeq1FLBTSVt8HSiXp2EKhY5fspOOmW1pZvea2TtROZPo+tiz1umwkjotQaGdILT7e3WULSIiEtvWQ76sicAKFD6zFgEGAg8lPodujrZ3YWZ7JqZ/vQesRMbPP3efQRgds1UUBNuawmdrrZ/R5ajfFqjfpn6b9CE9ISmhiLQ5M1uL8AH+92r7pniZ8IvQ8JLh50mecswJ7v7HOs+3bJntL7j7mNQKuD8L7BYNud8emGZmw9z9o5JdHwe+Ymb9E49nCvBbYEt3/6+Z/YaunYklgH9F15ck/DJb9rzR/SvHB0e/TC8BvJJS/Y8InfZY6TLfae37e3c/IKWsNH8C/jeaLrIdsG5Up3mBqwnTCK5398/N7DpCpzfNxyn1jJfbjp/zEyrUYyzwh4x1FhERKcvd/2ZmlxJG6mwLzAI+AVZ097TP2i9FI5suIEzLu8fd55rZoxQ+/0o/d9PE0yA7gKeioBjU/hmdVj/12wrUb1O/TfoQjQATkbqZ2eDol60rgT9Ew8Br4u6vEYZX/29UXoeZLWtmpUPNk84FjjSzFaN6LBTliMjiQuBwM1vTguWijur9wAdm9hMzm9/M+pnZSlEnETP7jpktEv1iF/9aNTfl8cyk6zSHBYF3ok7UBMKvbaWOMbOB0WPaB7iqynmnAt80s40tLFl+GKFD+s+Ush8l5HsYamaLEvJPJL1BSHAb+wPhV+fNo3aYz0IC1sVTysbd3wI6CVMAXvCQ3wRgADAv8BYwx8y2pHKy00eB3aNzbkHxdIMLgMnRr7JmZgtYSFK7YNRO8wJrArdWKF9ERKQWvwE2NbPVos/hCwg5kUYAmNloK+ScSlqAEKR4K9pvH8IIsNgbwOJWOf/TlYTPzO+SGKFDjZ/RSeq3qd8WPWb126TPUgBMROrxZyvkxzgaOI3w4V+vPQkfuk8RhqJPo8JQfne/lpCI9koz+wB4kpCPoip3/xNwAqEz+SFwHTDU3ecCWxFyTrxA+KX3QkLyWoAtgOlmNpuQ4HRXDyvYpDkP2CNx+3vA8VGbHUt6Ita/ERLt3g782t3/Wum87v4MIefDWVFdtyIkRP0spezfE5LEvkjotF5Vcv9JwE8tDFE/3N1fBrYhTCV4i/A8/5jKnxlTgE1IdNKj/CiHRI/3XUIH8oYKZfwgehzvAd8mPDdxWQ8S8kn8NiprBrB34titgU53f7VC+SIiIplFgYLLgWOiTT8hfP7cG/U/bgOWTznuKeB/gXsIwYqVgX8kdrkDmA68bmazypz7tej49Uh8btf5Ga1+m/ptpdRvkz7J3LOMwBURkayiX7UeATaOOrDSYmZ2H7Cfuz+Zd11ERESk51C/rfup3yZ5UQBMRERERERERER6NU2BFBERERERERGRXk0BMBERERERERER6dUUABMRERERERERkV6tf94V6IuGDx/uSy+9dN7VaEsfffQRCyywQN7V6JPU9vlQu+dHbZ8ftX15Dz300Cx3XyTvevQE6k+Vp/+xfKjd86O2z4/aPj9q+/LK9acUAMvB0ksvzYMPPph3NdpSZ2cnEydOzLsafZLaPh9q9/yo7fOjti/PzF7Kuw49hfpT5el/LB9q9/yo7fOjts+P2r68cv0pTYEUEREREREREZFeTQEwERERERERERHp1RQAExERERERERGRXk0BMBERERERERER6dUUABMREemtPvww7xqIiIiIiBTk2D9VAExERKQ3uvRSGDwYnnoq75qIiIiIiMBVV4X+6SOP5HJ6BcBERER6o7/8JVxOn55vPUREREREAG6+OVw++mgup1cATEREREREREREejUFwERERHoz97xrICIiIiKSe79UATAREREREREREenVFAATEREREREREZFeTQEwERERERERERHpHma5nFYBMBERERERERER6R455QJTAExERERERERERHq1HhEAM7MtzOwZM5thZkek3D+vmV0V3X+fmS2duO/IaPszZrZ5tTLNbJmojGejMgdUOoeZzWNml5nZE2b2tJkd2bqWEBER6eF+9zuWPfvsvGshIiIiInnRFMh0ZtYPOBvYEhgH7GZm40p22w94192XA04HfhUdOw7YFVgR2AL4nZn1q1Lmr4DT3X0M8G5UdtlzADsB87r7ysCawEHJAJyIiEgucupYVHXwwSwxbVretRARERGRPqbtA2DABGCGuz/v7p8BVwLblOyzDXBZdH0asLGZWbT9Snf/1N1fAGZE5aWWGR2zUVQGUZnbVjmHAwuYWX9gfuAz4IPmPXwREREREREREWlETwiAjQZeTtyeGW1L3cfd5wDvA8MqHFtu+zDgvaiM0nOVO8c04CPgNeA/wK/d/Z36HqqIiIiIiIiISC+UU/L7WP9cz55N2hyO0lYrt0+57WmBv0r7VzrHBGAuMApYGLjbzG5z9+eLKmh2IHAgwMiRI+ns7EwpTmbPnq22yYnaPh9q9/z09rYf9+abjACmT5/OW230OCdGl7257UVERESk/fSEANhMYInE7cWBV8vsMzOairgQ8E6VY9O2zwKGmFn/aJRXcv9y59gduNndPwfeNLN/AOOBogCYu58PnA8wfvx4nzhxYg1N0Hd0dnaitsmH2j4favf89Pq2HzECgBVXXBHa8HH26rYXERERkbbTE6ZAPgCMiVZnHEBIan9DyT43AHtF13cE7nB3j7bvGq3guAwwBri/XJnRMXdGZRCVeX2Vc/wH2MiCBYB1gH818fGLiIjUL+eh5iIiIiIiRXJarKntR4C5+xwz+z5wC9APuNjdp5vZ8cCD7n4DcBHwezObQRiVtWt07HQzmwo8BcwBDnb3uQBpZUan/AlwpZn9EngkKpty5yCsJnkJ8CRhmuQl7v54i5pDRERERERERKTnyukH2rYPgAG4+43AjSXbjk1c/y+wU5ljTwBOyFJmtP15Ql6v0u2p53D32eXOLSIiIiIiIiIi+WtKAMzMjq2+V5FOd7+rGecWEZEmmT0b5syBIUPyrolIe3rxxZBbbeDAvGsiIiIi0nPlNAWyWTnArMY/ERFpN0svDQsvnHctRNrXMsvA1lvnXQsRERERqUNTRoC5+8+bUY6IiOTo7bfzrkFjRo2CFVaAO+7IuybtIf5lTUnwm+v22/OugYiIiIjUoUfkABMREanqtdfCn4hkYmYjgc2AVYEhwHvAY8Ct7v56nnUTERGRXijnH2abGgBTR0pERESkvZnZWOAXwIbAQ8DTwOvAgsAewG/M7E7gWHd/KreKioiIiDRRs5LgqyMlIiIi0jNcCpwKfNvdPy2908wGANsAFwHrdm/VRERERFqjWSPALkUdKREREZG25+5rV7n/M+BP0Z+IiIhIc+W0CmSzkuCrIyUiItJOcupYiIiIiIhUlFMusI5mFWRmi5nZfM0qT0RERKRt9PLVNM1ssJmdZGb/Z2ZnmtmoJpZ9sZm9aWZPlrl/opm9b2aPRn/HNuvcIiIiIrGmBcCAPwK7xzfMbLiZnWpmvzOz8U08j4iIiEj36uUBMOBsYDZwJvARMK2JZV8KbFFln7vdfbXo7/gmnltERETaTU4zFZoZAFsVuC5x+2JgJ2AJ4A4FwURERKTH6mUBMDM73cwWTGxaEjjZ3f8K/BJYoVnncve7gHeaVZ6IiIhIPZoZAOtw93cAzGwYMAnYzt23Ag4Bft7Ec4mISF/mDq+/nnctRHqyB4FOM9slun018IiZ/QF4GLism+uzrpk9ZmY3mdmK3XxuERER6QOatQokwHNmtpq7PwpsBMx090ei+6YAJzXxXCIi0pddeinsuy/cfz+stVbetZG+oJeNAHP3P5rZ/wG/NLN9CT9W3gasBJzh7g90Y3UeBpZy99lmNokwo2BM2o5mdiBwIMDIkSPp7Ozstkr2JLNnz1bb5EDtnh+1fX7U9vnpiW2/wuuvsyjw9NNP80YOdW9mAOx0YKqZnQfsC1xTcv8CTTyXiIj0ZfEH5lNPKQDWqI8/hq23ht/+FlZo2qy33qeXBcAA3P194P+Z2ZrARcBdwPHu/t9urscHies3Rvljh7v7rJR9zwfOBxg/frxPnDix+yrag3R2dqK26X5q9/yo7fOjts9Pj2z7iy8GYOzYsYzNoe5NmwLp7n8ETgS2AWYCJyfuHg+81qxziYiIlHXccb0yWFG3am1x551w++1w2GHdU5/u9OGHcNNNzSmrl72motW7z4xGge1M6L+9AtxrZlt3c10WNQvZcM1sAqF/+nZ31kFERES6Qc79qWbmAMPdL3X3b7j75u7+ZuKu9WnuakIiIiLpfv5zePDBvGsh7WDvvWHSJHj++cbL6mUBMEK/7L/AWYABZ7n72cDmwM5m9udmncjMrgDu4f+zd95hclPX/36PKxBjm+qAaQYM2HRMTwJLSYAkBBIgodcvhBaSEPgRSCihl8SE0Izp3ZQkVNMSvJQANs2ACwZjMDbu3cbde35/3JFHo5FG0oxmZ3b3vM+zj6Sr23RnVnP10TnnwpYiMlFEThGR00Xk9FyWw4ERIvIRbhXKI1Vb34AbhmEYhlFbMnGBFJFzgDtUdUnYeVW9TkQ6i8g5qvqPLNo0DMMwjEiammrdg5ZHrfQGVfj2W+jSJfu6x4xx22+/zb7ulk8foEFVl4nIa8A7AKo6FThWRBqyakhVj4o5fwtwS1btGYZhGIZhhJGVBdh3gbEicoeIHC0i/URki9z2KBEZAHwOrJtRe4ZhGEZbxoxDssN5ntWOv/4VVl8dJlchUoL3PcniGlvfd+4B4D8ichXwMnCf/6SqNtagT4ZhGIZhtAVqNP/MxAJMVS8Skf7AicApwLZAd2A28DEwGPiTqlo8B8MwDMMw8jz+uNtOmADrrZdt3SaARaKqvxORXYBewCOqOrLWfTIMwzAMo41Qo3lVZqtA5lbq+WvuzzAMwzCqR62tlloCLWWMvH5WcyJkAlgoqvou8G6t+2EYhmEYhtEcZOICKSLHZlGPYRiGYSQiToxoKeKPUV0BrBWKVlkgIueISOeYPJ1zMV4NwzAMwzCypUZz9YoEMBHZSEQ2AU4OpPevpF7DMAzDSIQJXS2fan6G5gIZRVzs1juw2K2GYRiGYbQyKnWB3BQnfu0oIv8FxuT+flhpxwzDMAwjltYlStSW1jiWJoCFkjB260UWu9UwDMMwjNZERQJYboWgRhE5GHgO2BzoC/yy8q4ZhmEYhlF1am1FZzHAaoLFbjUMwzAMo9mp8XwqkxhgQGegnap+rqpPq+rojOpFRA4UkTEiMlZE/hhyvrOIPJY7PzTnkumduzCXPkZEDoirU0R65er4PFdnpwRtbCcib4vISBH5RERWyeraDcMwjByvvupEjClTCtNrLd60BJJONKo1IXnwQfjoo+jzzSGAGYZhGIZhGG2erASw36rqCgARaS8i12VRqYi0B24FDsJZlh0lIn0D2U4BZqvq5sCNwHW5sn2BI4GtgQOB23J9K1XndcCNqtob5wZwSkwbHYCHgNNVdWugAViWxbUbhmEYPm66yW3feae2/TDSc/zxsMMO8fmqGQTfLMAMwzAMwzDaPFkJYE0i0g4gJ4TtmlG9uwJjVXWcqi4FBgGHBPIcAtyf238S2E9EJJc+SFWXqOqXwNhcfaF15srsm6uDXJ2HxrTxI+BjVf0od+0zPSHQMAzDyBCz9Ko+tRpjC4JvGIZhGIbRtmiJq0D6uA14VkT2E5EfAVm5AfYEJviOJ+bSQvOo6nJgLrBWibJR6WsBc3J1BNuKamMLQEXkJRH5QET+X9lXahiGUS8sXAh/+xs0NdW6J3nSig8mmKWnVgJPNV0gs6zTBDDDMAzDMIxsqNG8qtJVIAFQ1cdE5FPgp7hVhE7yzonITsBIVV1SRtVhTzDBkYrKE5UeJvqVyl+qjQ7A94FdgIXAf0XkfVX9bzCziJwGnAbQo0cPGhsbQ6o0FixYYGNTI2zsa0M9jXtDbjvhxBO3jxF5AAAgAElEQVTZ8IknGDVnDtP226+WXVrJNjNmsDbwyYgRzOzena2mTOG7wOjRo5maG78GX/7333+f+d9+W7LOehr7atBn2jR6AKNGjWJaietc85NP2A6YNWsWH1dhPBpy28bA5+Qd7zBvHt2BDz/4gLnLl5Mluy1axKrA0GHDWPTNNxXV1WHBAr6f22/p3xsRuSRlkUZVfb0qnTEMwzAMw2gmMhHARGRP4DCcldQ7gH/Z7GOBviKyKjAF+AS3xPbHqvpVTNUTgQ19xxsAkyLyTMzF5OoGzIopG5Y+A+guIh1yVl7+/KXaeC23khIiMhjYCSgSwFR1IDAQYOedd9aGhoaYS2+bNDY2YmNTG2zsa0M9jvuGq68OQN9NNqFvvfRt7bUB2HbbbaGhAe6+G4A+ffrQJ6SP/fr1g112KVllPY59ptxxBwB9+/Yt/TkuXgzAmmuuWdXxCNa98rhbNwB23HFH+MEPsm10FWeQvtvuu8Nmm1VW1+zZK3dbwffGTCQNwzAMw6gdNfLWyEQAA+4CjgfuBD4ArgJ2z517GBihqktEZB1g29zfwcCpMfW+C/QWkV7AN7ig9kcH8jwDnAC8DRwOvKqqKiLPAI+ISH9gfaA3MAw36SuqM1dmSK6OQbk6n45p4yXg/4nIasBSYG9ckHzDMIyWTz26fNVjn+qNDz+EnXaCDTeMz1tPWBD8ZkNV/1LrPhiGYRiGYTQ3WQlgU1X1PRGZraqniMg9vnPHAH1yFmBTyVuAPR1WkR9VXS4iZwMvAe2Be1R1pIhcDrynqs8AdwMPishYnFXWkbmyI0XkcWAUsBw4y7dSZVGduSYvAAaJyJXAh7m6KdHG7JzA9i7OJXKwqj6fcuwMwzDqi0rFghUroH37bPriEexTXB/bcgywl1922wkTSudLyooV8OabsPfe2dQXpNwYYE8/DV98AeeeG583Sd0TJjhLw1VXLb+OVoCIrFDVjP+BDcMwDMMwak9WAtgbOSuoibkg+Dt7J1R15cy0DAswVHUwMDiQdolvfzFwRETZq3DWaLF15tLHEbKCZUwbDwEPlbwIwzCMlkg5D/zjx8Mmm8B998EJJ2Tdo+S0EbEilDjxb+xYmDkTdt21cJyixuyqq+DSS2HIEOd+mjXlCmCH5hZqLiWAeXUmqXujjeDAA+GFF9L1o/XRhtVjwzAMwzCqSo3n6JmsAqmql6jqQuAPuED4RaJTLk7YH4HtgBHARVm0bRiGYWRMJdZTo0a57aOPZtOXKNqywBVH3Nj07g277w5nn+0s9Up93p99BqNHu/3Jk7Pro59qWuul/Z68+GJ2ddURItJVRI4QkUtzf78UkW4R2VvuhRqGYRiGYZQgEwFMRG4TkXaqOl1VzwGeDcl2F/AoLpbW0RF5DMMwDKNy2rILZFJuu630+Zdegi23hEGD3HFLFICCFmCzZsEtt5R3LS3x+oFcqIbbgbVxCxUNBdYCBuTOGYZhGIZhtAmycoF8EXgiF1vrWOAXwB6BPKXihBmGYRj1RjkP/NUWnrIMat5aKXdsgp/3iBGV9yUJ5bpApsGr++STXeyw3XaLXSU0so6WR39VnRiSfruIbNDsvTEMwzAMw6jRXD4TCzBcQPkZwNe42BHfD8kTGSfMMAzDqCMq+UGqlpgR7FPLFSOan3ofq2oKYEELsJkz3Xbx4uzbql++iToRIYwZhmEYhmFUlxrNT7MSwF7DmdRvD/wQ2DKYIUmcMMMwDKOFUy0xI6q+UmJdUxOccw58+mm2fWmt1NqqrpoCmId3jU1N6duudyExmje8eF8isrWIDBSRP4hIVl4AhmEYhmEYLYKsBLAfqOo9qjoKOBK43jshIueJyL7esRcnTFUfy6htwzAMoxpU8sBfLbEgqSWYCHz+Odx8M/zsZ9XpS0vhH/+AefPi80WJRVHns6I5hLeg62zwWlq3ANakqnNz+/cBw4HOwM0165FhGIZhGK0PVZgwIVneFu4CuaeIPCciDwGzgTN9536lqq/6M4vIbiJyS0ZtG4ZhGPVCra2IPPxiRb30qbkIXu+wYfDrX1e3zfvug4kh3nRJRKPmdIFs1y68Lf/xrFlONCxHJKtPVohIBxHZDOigqrep6tWEWOsbhmEYhmGUzd13w0YbwdChte5JJFkJYDcARwHrq2oTMNB3blEws6oOBXbIqG3DMAyj3qiWWBBnpWSE8/XX0ecq/azmzYOTToL99y+v7qQCmAj88pfp+wewbBlsvDE0NrrjUi6QxxwDv/0tfPxxeW3VH9cDb+NW377Dl75qbbpjGIZhGEar5I033PbTT2HaNPgmMgxpzcgq/sN8VZ0v+QeRTr5z40XkIFV9IVAmMPs0DMMw6oIsguBnTdp6TRgrZMGC+DxxAlTUeU9Mmjw5+lxWPPFEuvxen2fPLhQBSwlgo0e77WqrRedpQajqCyLyBvBdVR0LICK9ga9q2jHDMAzDMFoX/rlSjx7FaWHHzUxWFmD3isjDQHcR2RPo6Dt3DnCOiDwoIj8Xkb1E5GpgTEZtG4ZhGLVmxQro2xeeesod15NYUE99qRXz50efq3R8Sllwpam7OVwgk7Q1fbrbtgtMkVro90hETgSWeuIXgKp+DpwoIifVrGOGYRiGYbRO6vhFdCYWYKr6kIh8CPw893ey79xs4CAR2QvYD+gBfAhckkXbhmEYRsY8llujJM0D/5w5znLGs56pB4I/vrNmwR/+ALfcAt/5Tm36VCtKWYCVs8Jm0nrqLQZYMD3seOnSZGVaDtOAx8WZ6Y8HFNgUWEGhS6RhGIZhGEarJsslsA9V1SujTqrq68DrGbZnGIZhVIO5c+PzBGmuFQMr4ZJLXLD2fv3g7LPLr2fGDDjzTLjrLujaNbPuFTBvHrz0EhxxRDb1lXJFrPSzihKZ4tr1qIUAVsoF0rP8KpWnBaGqg0XkS2ASsEUu+TPfypCGYRiGYRiVk2au1MJXgQS4IMO6DMMwjJZMtYPgJwmYHsSz7OnUqfhcGq65xsWiuvPOyuopxcknu4Dvo0alL5uF5VaafKU+kzQWYNUkjQDm9Sfr+GU1QkROB04BugJbq+q7Jn4ZhmEYhpGYMWPqy8ujArIUwOrX0dMwDMNITyUiVtYCWCWijreflQDWHHz1ldt++23ztVnuZ1ZKKEojIqk660MR6N+/8FxwFcvnn09eZ1g/krg3th4XyLuAj4CfULhIkWEYhmEYRjxbbeVi/cZRx7G/PLIUwFrszNAwDMNIyYoVzSsIeG398Y9OzEjyAxvM4wlgHTsW561XsppIlKqn0s/RE5dUYdGicPExSd9UYcoUt39HIDTV0UcXHv/0p+X1MapfSSzAWqgApqrLgX+p6gBVHViLPojIPSIyTURGRJwXEfmHiIwVkY9FZKfm7qNhGIZhGBWSZq60YkX1+lGCLAWwDiKyj4jsG/WXYVuGYRhGtYn6EWtqgg4d4Lzz0petlM8/hw8+iM+XwAWy8/TpsPXW8M03GXawTin1eXhCT3DMksZ189IXLYLVVoOBA+PLlGonjOXLo8+VE9+sHBfIFiqA5TgJQEQaatT+fcCBJc4fBPTO/Z0G3N4MfTIMwzAMoxokmdsdf3z1+xFClgLYNOAe4O6Iv7sybMswDMOoFd4bG7+bWiWWSosWwfTpyfM3NZUnRixb5rY5AWy9Z591MbbuuSd9XdWmErGl3M8iKxfIf/0r+lxztB9WZznujC1b8AqyRm5bE8uq3EJIs0pkOQR4QB3vAN1FZL3m6Z1hGIZhGG2FzFaBVNVNsqrLMAzDaOGkEQ/22gvee6/6gkPWMcDqVSBp7n6VspRK6wJZDitWOIvEMGwVSI/XRORuYKULoohcBLwLDFXVeTXrmaMnMMF3PDGXNrk23TEMwzAMozWSmQBmGIZhtDLiXN6y4r330uUXKc/KKU0MsEmTnDtf9+7h7Vcbb4yXLKl+W8E2syyXxAKsUgFs2DAnoo4ZA1tskawfbSgGWI6TctsfADfm9v8O7AqcLiLdVfWimvTMEfZPFTrgInIazk2SHj160NjYWMVutVwWLFhgY1MDbNxrh4197bCxrx3NNfYNuW1cW32mTKEHMHr0aPpElOkzdSo9EtZXDUwAMwzDMNKRZMW8rPGLTqrx7YWJVJ4LZJS1kJ+ePWHNNWHmzOR9rAbf/376sa1kxcxy8pUTg8tPpYLi/fe77eDBxQJYORZgUWktWwB7G1gOzPel/Q5nATagDizAJgIb+o43ACaFZcwF8h8IsPPOO2tDQ0PVO9cSaWxsxMam+bFxrx029rXDxr52NPfYx7Z1l4t61ce3YmRRGd9CR7X43mQZA8wwDMOoZ5YuzcaiqJ7EgjTiiRdIPWnfZpUKWVRlarHCZpCkY1upAObPW851J2k/Cwuwls2jwBhgG1/a34F1gN+KyNU16VWeZ4Djc6tB7g7MVVVzfzQMwzCMeuTZZ+GRRyqrozk8KkKoqgWYiLyuqntVsw3DMAwjIeutB/Pn510By6WeBLAkbpqty5Ine8LGY/nyZOM0ejRcfnn4uZtvhu99L76OMBfIOXOcG+r668eX94SqNK6YbW8VyLVV9X/A/7wEVV0oIj/MHXaLKigiXYEDAO917mjgJVWdm7RxEXkU50GxtohMBC4FOub6MQAYDPwYGAssJO+yaRiGYRhGvfGzn7nt0UcXpqeZK7WrjS1WtV0gE8x8DcMwjGahGhZNEyY4seK73y1Mr7VYoBr9ZqmUIDZhArz/fv54/fXhlVdg662z72O1CLvuUm/ZguMxaZJzAd1qq9L5APbf3+UPMmkSnHMOrLNOef2dNs31Ic1qjcOHw9dfw0YbFZ9LI4BFpdX6O10ZR4tII3Coqp7vSw9zjVyJiPQHegBvAu/gYnX1AgaIyGRVPTdJ46p6VMx5Bc5KUpdhGIZhGHVOEuuu1mgBZhiGYbRgklhXeWLD1KnV708YaX48o+JB+fne95wI5jF5MvTvD3ffXV7/WgLB8Rg71m0//TS+bJQ14YoVbptGdC0lWpbCE7MeeMD9hVn/pbHmap2rQC4GrgDO8BJEpB3ONXI74IfAEyHlblTVCSHpt4vIBtXoqGEYhmEYbYAaCWAWA8wwDMNIRxqrnBEj4J//rG5/SrWf9tyEkGd9L3ZYc1ILsSVKLCpFXN7mCIL/0EPx7ceJWX6hrnXGAHsB+DPg91W4WFXn51wj/xNR7lER6QYgIluLyEAR+YOIdFDViVXus2EYhmEYrRUTwKIRkQNFZIyIjBWRP4ac7ywij+XODxWRTXznLsyljxGRA+LqFJFeuTo+z9XZKa6N3PmNRGSBiJyX/QgYhmHUEWlWgdx2Wzj88Gzb3203WLQoef6g5Vewr5610ksvhZf3zrdWkrr6vflmfNlgWhoBrNwg+EmIE8AOPri4TOtygTwF2AkXY8tjtm9/14hyTb5YX/cBw4HOwM1Zd9AwDMMwjDaECWDhiEh74FbgIFwA1qNEpG8g2ynAbFXdHLgRuC5Xti9wJLA1cCBwm4i0j6nzOpzJf2/c5PCUUm34uBH3htUwDKN1EHzgf/5592M1c2Z83iixYMkSZ7FTqZgwY0bp82kswC6/HD75BA48MDx/LSzAsibNeETlDXMDjfsc484PGwZPPZUsb1Lm+8JZeXUGRcygIDZ6dH6/dQbB/zb3t5YvbS0R6Z3b7xJRboWIdBCRzYAOqnqbql4NbFnFvhqGYRiG0Vr49ttwq/pWKoBlcVW7AmNVdZyqLgUGAYcE8hwC3J/bfxLYT0Qklz5IVZeo6pe4N5+7RtWZK7Nvrg5ydR4a0wYicigwDhiZwfUahmHUDyJw2mlu/8Yb3bZfv+J8ScWBiy6C446DFyp8X5DGDTNImNB16aXR9URZgFVTEKlW3WGx2oJtpXH9SxInrhSXXZa+TBy7+oyZyokB1joFsIeBfoD/oq4BjhCRAcCIiHLX4wLlPwvc4UtftRqdNAzDMAyjjpk3D+68M12ZLl3ggguK01tpEPzXMqijJ+APyjIR2C0qj6ouF5G5uLecPXGrFvnL9szth9W5FjBHVZeH5A9tQ0QWARfgAshGuj+KyGnAaQA9evSgsbGx5EW3VRYsWGBjUyNs7GtDc457Q24b1V5D4Pjzzz6jN8Cdd9J49NFsvWQJ60CoBdhb//sfe/qO582dyweNjUVt9n3/fdYFRg4dyvTVVkvUL4CtZ8zAv57g3Nmz6QaMHj2aqbly/v6//9570K4d/YBFixcztLGRPT/7jE6+ttb3B3D/978j254+ZQojfX3bdOJENgK++OILJlTps9t5wYKVJjlpvx/bP/wwawTSVsyfz+TDD2eDkHhso0aMoC8we84cPmpsZI3hw9k+ou5gX76/fHnRRGLW7NmMeftt9ogo2+A73n7y5JV9HTFiBAu//bbAF++z3/6WyQcfzI7z5tHVV66BEnz66cq2vr9iBR2A0aNG0cefZdQopviuxV/fsmXL6AiMffJJ5o4Zw/zcapirjR+/sm8t6V4pIn9W1SuBs/3pqroYuLpUWVV9QUTeAL6rqmNz9fUGvqpSdw3DMAzDqFdOPx0efTT6fNTLwoceghtuKMzTGgUwVd0ng2rCRiY4slF5otLDLN9K5S/Vxl9wLpMLpMSHqKoDgYEAO++8szY0NETmbcs0NjZiY1MbbOxrQy3GPWl7vXv3Xrnf0NAAm24aHgcK2HOPQrmja9euBe2s3F/DyR1b77ADBPpRsl/rrFNw2K2rk0P69OlDn5By/XbaaWX9q66yiqt7dj7kUUNDA1/dc090e/6m11ijsG/PPw/AZpttxmZpPrvPPnMrDG6+eXze73ynoK+RiDiLugceyKd98EFRtvZLl4aKXwB9+zhpaI1u3Wjo2BHOPz+yuYaGBhg6FLbcErp3z6+Y6GPN7t3ZY4+g/FV8HQ0NDdCp08rjbbbe2sWM87HFP/7BFj17QteuheViWJkn178+WxZ67G215ZZsFVFPx86dAdj8tttcgjdRGzUqVR/qiH2BK8spKCInAo944heAqn4uIieKyEmqem9GfTQMwzAMo96ZMiW7ulqjAJYRE4ENfccbAJMi8kwUkQ5AN2BWTNmw9BlA99zqRssD+aPa2A04XESuB7oDTSKyWFVvKf+SDcMwmoFPP4U+fZxgsuOOpfMuWVIosgQJiyPlCQh+vHhaHSr8+UnijrZ4cX7/j0XrpyQnqyD4ngiTtSvdgw+W/mzi8PfnvvtK512xAnbfHfbYA956K/pakk5q/IsZRAXBnzev8jGLiwHmJ6rvLdsFslymAY/nQj6Mx7342xRYQaFLpGEYhmEYbZ3cS+J6njO1BAHsXaC3iPQCvsEFtT86kOcZ4ARcnIrDgVdVVUXkGeAREekPrA/0BobhrLmK6syVGZKrY1CuzqdLtQH8wOuEiFwGLDDxyzCMWFTTxVqqBl7w8UGDwgUw/4/XyJQhDlXhrLOK05ctc9tKBbC4sQv+8F4XXLeE5CJNawiCX4o030Mv77Bhbhs2wSk1rkuWFB4vXJjfj5ostWtX/kSqVAyw0aOhY0f4/PPCc9Omla6r5bGNiDweSBNAVfWXpQqq6mBgsIh0A7bIJX/mWxnSMAzDMIy2QtxcaN685HWZBVg4uXhbZwMvAe2Be1R1pIhcDrynqs8AdwMPishYnFXWkbmyI3OTvlHAcuAsVV0BEFZnrskLgEEiciXwYa5uotowDMNIxJIlMG6cs7gC2H9/ePVVGDKktv2CbH6Akq4k6IlJHTu6rX/1vTR4Fj3N8eNZbhD8115zf5dckr7N5hRb/OJQ3Hgm/Zyj+P3vC4+DFmBhtG+frg0/Xp1hgf77BheUbrXsUm5BEdlKVT/NCV7vZtgnwzAMwzBaK8F5V9j8sjUIYCLSA/gRsD3OHXAO8BHwiqqW7TDqvYEMpF3i218MHBFR9irgqiR15tLHQUEM3tg2fHkuK3XeMIw2zJlnwj33uFX41l3XiV+15uOPS59PI24kzet3gXzqKfj5z5O34ccTpSpdhTAJfguwXXaB995LVs6LE1WOANac+McqbjKSZGXEKFdGcG63fvwWYFGWaO3bV24BlsYFMq6uFoaqji+nnIicDmwuIjcB+6nqfZl2zDAMwzCM1snTTxce15EAFhYMPjUi0kdEnsRZWh0HdASm5LbHASNF5EkRaTOvWw3DMArwgsfPmlXbfvgptYpLWpJaBvldID/6qPz20sTlCuvLRhuxSdK4WX4BzC9+1eiHO3M8MSiJwFOpBViQoAAWVl8lApi/bj/l1NdCBbAKuAv4GPgJbj5nGIZhGEZbJulcKGLhpQJauAXYfcANwDGquiR4UkQ6AYfg3AiLl4YyDMNo7Xguf8F4UlkFWK+E665zK/pVQjkWYJXEQPOEtHL7M2FC8rbSCB8PPAAnnAA33ZS8TKVt+svMnFlZW0ktwFasgIED0/czWP/Spfn9qP+FkJUmYxk50v3PlYoBlpZWIoCJyLqqGhHoLE8uBEVXVb1FRLJY1dswDMMwDKOmZGIBpqq7qeqTYeJX7vxSVX1CVU38MgyjbeIFfQ8IYB38MZBqyYUXFqf5RYO4h/977y08josBJlKZoOCvp57whK/f/rayepKMTVDU+fvfYZ110rdVThB8gCuvLA5qH0epz6upKfx8OUHwt9nGrboZJYC19oUNSvNkirxr5LY7VKMjhmEYhmG0UVqyCySAiKwnIqtkVZ9hGEarIkIAa7d4cQ06k5A0wsjgopCK4XiWW5WughkXA+zbb8uvOylhbaexVvrlL+HQQ8tv328xNXEinHtuefWUGwQ/6vMrJVaVqj/KAqwaLpB+y7OktBILMNwKkEkZJCLX+8uIyEUi8kMR6Zp91wzDMAzDqFuymAt5dbR0AQx4GDjaOxCRtUXkBhG5TUR2zrAdwzCMlkeEACaViEBBvv22MlEpSBoLsKT4XReDfW1qggcfzI/Rc8/B7beH1xPnOppkdcEsOfVUOOecdALYE08UBwkFFyjeb1m1cCF06gRPBgx3/Nf4wgvp+usnzfgk/U6UM6lJGgMsTX89oSv4XYtzoQ2j9QhgaS5kAfAPVe3vS/s7sAw4XUSuzrRnhmEYhmE0L6utBtdfnyxvqblQ2gW+WoEAtj3wlO/4HtyqiRsCr5oIZhhGm8YTwAIP3pkJYEuXQpcu8LvfZVMfVBafLG51xuXL4ZprCs899BAcfzzccIM7Pvhgt3rmf/8L//pXYd44F8hyLHwq4a674OabwwWwNMLJ3LnQpw988UU+bcIE9735058K8/rdLDtUENKzXBfISZPC87z6an7RhyD+zys4LitWJBPAyokJZgJYuVwNXC4i/n/A3+GC4g9Q1Ytq0y3DMAzDMDJh0SK44ILyynpzo2eegf32S1ZmxAi3bQUCWDtVnQUgImsBPwZ+rqoHA+cAf8mwLcMwmouXX4Z6dtNrKURYgGUWBN+zGLrnnvi8SR/k/aLBkCHp6ow69raDBhXXMX26206dWpgeFL8gPoZTOQJHFiQRwMaPjy4fFlPLqzMo4nzwQX6/fftk/QvD/9mkcYEsxdFHh6fHxQCLciutBxfI1kOaGefbwJuA/x/WLMAMwzAMw8jPz0rNbSE//3v8cRg1qjCtmclSAPtCRLwgqfsCE1X1w9zxI8BOGbZlGEZSvvii0FUqDcOHwwEHZGtV1FaJWAVSgi5ljzxS+HDesSOcfXZ8/Wl+RJJa/PjFueefL503TgALtjl/fnwdpdLjBDD/GFYqnkSV996WbbttPi1MAAuKnJtsUng8bRpcemn05+J9tsHz/s88CwHs9dfjg9pXarEYZwEWRr0IYK3HAuzwFHnfBsYAfb0EVV2YS3vELMAMwzAMo0b85CesHWVxXy2Cc6Fvv4Xvfx/efTdZec/6C1qFAHYj8LiI/AG4DAi+sv9Ohm0ZhpEEVdh8czjssPLKz5rltp99ll2f2ipRMcD8D/1PPQXHHANXXJFPW74cbr01eTtJHtKTWp35RYM44SOu3SQChJcnyQ9i3DX4hZws46KF4f8xDxPA4to/+WS4/HJ4441wYc+71uA1+9uqZBLh79833yTPmzVJY4CVW7efNiyAqerU+Fwr+Vlu2yWQHuYaaRiGYRhGczF4MNtcfHFldVQ6t3nnHfjf/1wM3yT4n3FqJIBVEDSkEFV9WEQ6AicDE4Frfad3BiZn1ZZhGAnxbmrlBshuJQ98dUGSIPgzZrjtlCnV7Us5AljcdyFo0RUUHIIukGFCT5QAVsoCzDvnjZ2HXwCrlgVYGOUIYAsXuu2KFeHjEhXI3d9WJcKUv2zcd6PSscwiBlg5/PnPhcdtWABLyWLgCuCMQPrbwHIgxJTTMAzDMIwWQaVzmzlzsulHM5KlBRiqep+q7qWqB6jqNN+pHwBPRpUzDKNKZGWtUSOFvlWRJAi+t19OkO+gwFSKpAKYP1/cd2ns2NJtJAlCnsYCLCgU7bVX4XGWAlgawsb25Zdhu+3iy6qGC2D33++21RLA/OMTV0+57XifaTkxwLIQwIK0MQFMRLqKyBEicmnu75ci0i1B0aeA/YFjfHW1Ax7FuUFuXZ0eG4ZhGIYRSVZzkrT1BPPPnVt+2y3ZBVJEzhGRzlHnVfU6nKn8OVm0ZxhGQprT8sUojRejKSiQhIlMpQSwo45ybq1B4j4r//lquECWKhtsH8IFiDfecNtyLMBGjy4871+4odYC2KmnwiefRJfxrjdKAPvb39w2OKb+uF9ZWYBV6uoaRdgkR7Xwux5lAZZFDLAg5SyS8Omn2fahmRCR/sDtwNrAO8BQYC1gQO5cKdoDu+BCW3hcrKrzVfV/wH+y77FhGIZhGCXJysih0npaoACWlQvkd4GxIjIYeA33VnA+sDqwBbA3blXIBzJqzzCMJFR6U/MeOs0CrHK8B/3Ag3xqCzD/6omPPw6vvgoDBrjFDqBwwYMZM9xnt9ZalQtg77yTrIxHUCxoanKrPOK+JnEAACAASURBVE7LGQeHCRAvvui2aWKARQkjfoGt2jHA/JSybIvCf72lPpumJrcYQd++0KtXsXhULmm+G5VagAXbbdcuX2dzWoCVI4CdcEK2fWg+blTVCSHpt4vIBjFlTwfGAb2Bh3Jps33nd8WtEmkYhmEYRnMRNi9atsyld+pUWT1pSGpRX0fPkplYgOVWAdoR+Bw4BXgBGAEMxsUEGwPsqKp/jqzEMIzsqYbliwj86EfZ19va8cSKgIAQKoDNnJmszl/9Cu64w+3vFLLQ7jrrwNprF7cbt4KiRyWiShBVWHfd/JuiNAJE2Pc47rtdKwGsVGyzOKIswPz1/PSn0KePO65GDLC33kqetxyCE6AkFmBQexfI//u/bNtvXh713B1FZGsRGSgifxCRDqo6MabsAuBbnPWYx1oi0ju3HwyObxiGYRhGtQmbj224IXwnwbqD/ri5/v3LL4c99yzO75+Dxa3yHoUIXH11cVoNyCwGmKrOUNW/qup+qrquqnZS1R6q+kNVvVFVEz7RGYYRybx5cO21yW821bIAe+WVyupti3hjmEQAe+yx8ixUSvGTn+T3ayGAXX994XGp60vzgxgljFx3XX6/1gJY3DjGuUB6TJ/utl58s113zZ+rxD2vOYLgh8UAC7pANjXBkyHhQlesgDFjyms3irQC2N13Z9t+89Kkqp6Pwn3AcKAzcHOCssuAfoD/n+ga4AgRGYB72WkYhmEYRnMSNh+bOjV+jv/KK+4FubdAWs+e+XOXXgpvvw1//St8+20+vdSiWEmfFSZMgD/9qTCthbtAGobRHJx/PgwcCFtuCT//eXz+rKwm6shsNTF/+xtMnAg33ljrnjiiXCCjAs0vXw4dO+aP586Fbr6Y1WkEsgkTXCB2j803L/xhiyJL4cgvSEHp/qdZBCDLoP9ZUIkAFlU+ivXWy+/3jwvlVII0YlCWLpDB9Pnz3aQrSPC7kwVJrSxbBytEpAOwMdBBVW8DEJFXE5TdR1X39Seo6mLg6oj8hmEYhmFUm3LnY15Ik7fegoMOCs9z/vnwzTf5Z6hSbVXywr4lW4CJyEEicqOI/F5E9hORdbKo1zCMALNzoVeSPrD6b1jjx6dvL0u3o9NPh3vuya6+OM47D/7+9+ZrLw5P1CkVBN8/3sEfhf33Lzy+9trwcmE8/XTh8aJFyT7bLAWwJKtAeiQJgu8/F/fjO3t26fNxpPk/2GKL4rQwAeyDD8LbSSOAZfX5XHpp9duMsgDzH0fd10aOLK/NUqSJaTdrVvbtNy/XA28DzwJ3+NJXrU13DMMwDMOoiHLnY0nntH//e36F91Jt+VddT0tLFsCAG4HHcDHAdgf+kVG9hmH4SRIk3Y//JldJDJu0N6iPPy5+mL3jDjjllPL7kCWTJrmV+dK6QVVCGhdIKP6Beu+9wuPJk8PLheFfLTCq/jBqJYC9806xy2QpTjutvD6lJYkbXN++xWlh43jWWfn9pC6QSeqtNlm6QELhvSzNtTcna61V6x5UhKq+AOwD/ExVBwDkYnh9laD4NiLyeODvCRF5vIpdNgzDMAyjFOXOx775xm2TPNvde6/blno+aYECWFYukI3AR6q6CHjOf0JEdgJGqmoFo2MYBpC/6ZQjgKVZESSsfFLGj4ftt4czzoDbbktfvjn4zW/gX/9ypr+/+EX12lm6FDp3dmJOhAWYNDU5C5cPPyz9AxPkDp8hR5gQ8r3v5ffDvi/N7TqYRgBrbHR/HqX6+txz7rOsJl77SUTksM8ibBz9P/rluEBOm1adRS7iyDIIfjAGWNZx7wwARORE4BFVHeulqernInKiiJykqveWKL5LRn04ELgJaA/cparXBs6fCNwA5Gbm3KKqd2XRtmEYhmG0Osqdjw0c6LZJ5pBenmpZgNWIrASwN4F3c28E3wc+VNVJuXPHAn1FZBVgKvAJ8DHwsap+lVH7htE28G5ASRVz/w2rQxn/7sEg+HFxo4YNyz/QpnExam6aSziYN89tr78eDj7Y7YcJYNts4w6uuSZ/Iu6HLcpyzMO/ml+5Alg1LYyyEjuqLX7F8f77hcdhYxaWFvY/3L8/nHlmsnZ79IArr0yWN0s+/ri8cmHXO39+4Xdz6NDy6jbimAY8LiICjAcU2BRYQaFLZBGqWobvfCEi0h64FfghMBE3X3xGVUcFsj6mqmdX2p5hGIZhtHqa0wuglblAZiWAXYgTutYGtgd+BRwPoKrneplyscG2zf0dDJyaUfuG0TaoxAWyEmseESd+dSmx4v2//+2sqc44I10f0zBypFvt7rDDsq87ayZNyouO7doliwGWxgLMT7VcIKsZPD6Nu1stLJ2CRPV3550Lj2+4oThPWP/DLMBeeQW++ip5n+68M3nerCg3HlaYC+S66xbmiRLXROrjO9BCUdXBwGAR6QZ4Qeo+860MWW12Bcaq6jgAERkEHAIEBTDDMAzDMJJQ6bwoifg0Y4bL9+tfR7dbSTiZFi6AvQyMUdUPgVf8J/wukKo6HXg192cYRlrSCmB+YSSJmLF8OYwblw/k7b/JedZMUXz+uduOyj3TVOOm5llKZfUwXK2H6uHDYccd4bLL3LFIaRdIj6AAdtJJydqL+2xbswVYcxH3/U9LlAvktGnJ6yhnYYtKaY4JV5D27es3PlgLQUS2AVYDhqtqMwY/BKAnMMF3PBHYLSTfYSKyF/AZ8HtVnRCSxzAMwzCM5rAA817K+sOuWAywlewFfCQijwIf4iZYX+bOmQukYWRFJTHAwkSSJUvg3HPhL39xxxdd5CxYxo2DXr3y+ZLcoLy20vaxFviDjleDMWPc9tVX8+1FCWBRFmBNTXDffcnamz698Dh4XWGfX0sSwOrB+meffbKtL+p/qjkXZiiHLFeBrHabhp+f4+ZeBwKXN3PbYR968J/6WeBRVV0iIqcD9wP7hlYmchpwGkCPHj1o9McLNFayYMECG5saYONeO2zsa4eNffPTcc4cvGi/3tg3+I7bLV5M15EjmdOvX0E5L89X48fzVWPjyuMwZs6dS9EyQMOGFRzOmDSJtVP23WPRkiUMrcH3JhMBTFX7ichawHa5vx+Tc280F0jDyJBKYoCFWVA88YQLVL9wIZxwArz2mkufNs0JYJ7w8MILsHhxYdnJk139PXu64ySiS73g79vw4bDxxrDGGtm38/rr+fa8NoNCpH/c4lwgg/GmPDbdtPA4KBiE1fXGG+F1+ammC2RLswArN/ZVFFEWYPU+LpWuAlkOJoBlwUycNf7TXoKIXAS8CwxV1YxNHAuYCGzoO94AmOTPoKozfYd3AtdFVaaqA4GBADvvvLM2NDRk1tHWRGNjIzY2zY+Ne+2wsa8dNvbNgKp7rthrLzen8nkMBMe+oaEBjj0WHn7YeehsvnlRdZtssgmbxHxmawVDVYSw9ttvJ+l9KKuuumpNvjeZmGiIyBBcgNM9gS+Bq0Ly7An8ESeQjQAuSlj3gSIyRkTGisgfQ853FpHHcueHisgmvnMX5tLHiMgBcXWKSK9cHZ/n6uxUqg0R+aGIvC8in+S2oW8rDSMzso4B5tXniWPBh1v/g+ef/lR4bv31YYMNwtuC+hbAPFSdq+Leeycvc+SRedEvKX4LsMDDvPjHbf78/H6YEBKMNxVF8LMIEy1+9KP4eurFAuyee6rXj1rh/x8uZxXIWlELCzAjC3oB+4nI1b60vwPLgNMD6VnzLtA7N8fqBBwJPOPPICLr+Q5/BoyuYn8MwzAMo2XxwAPQ0AAPPeSO4+ZjI0a4rf/ZIi0dO5ZfNgk1mhNmIoCp6j7A2cA7wE+AR0Ky3QU8CpwAHI0zdy+Jb+Wgg4C+wFEi0jeQ7RRgtqpuDtxI7q1hLt+RwNY4k//bRKR9TJ3XATeqam9gdq7uyDaAGcDBqrpt7roejLsmw6iIrGOARbkCht2Qpkwp3VZSF8g5c2r7kD9jRnEg708+SV7+scdcgHuPPfaA3/++dJkSQfALYoDdemt+f24F8amPPLLwuFyrHbMAc1TDBbOlCkHnnFNeORPAas1y4AlV9b98/B3QERgQSM8UVV2OmyO+hBO2HlfVkSJyuYj8LJftHBEZKSIfAecAJ1arP4ZhGIbR4vBiLXtxuZLOTRsbYerUavSoxZJZkB5VnaGq/1XVXwP/CckyVVXfwwlJp5Bs9Z+VKwflgrZ6Kwf5OQQXKwLgSdwbTsmlD8oF3/8SGJurL7TOXJl9c3WQq/PQUm2o6oeq6j0JjwRWEZHOCa7LMMojqxhg770H33wDxx8fnT/sOElbcX1cYw048cTCtIsvdq6I5fD118kEtbvugrfegnXWgSFDCvtaCe+8A3//e+k8YTHAPCHAL4D5A0kuWFB+n/75z8Ljcq9z0aLy+xBHvVs6VZsoF0jDqA5DgF+LyDW+tOayAENVB6vqFqq6mapelUu7RFWfye1fqKpbq+r2qrqPqn5azf4YhmEYRovCe17wVnaPswDz5pbnngv7719Zm9Ui7vmpSmQSA0xE/osTtD7CrfSzV0i2N0RkNWCiiPwISOLLk2TloJV5VHW5iMwF1sqlvxMo6/kthdW5FjAn96YymD+qjRm+eg4DPlTV0KUQLGhrMiyIYmm2nzmTNYDhH3/MnARmqZ2nTWOP3P68OXP4IBcUca+DDqKpffuVCvjUKVNYsGAB8+bPpyvw/gcfMH/hQtb65BO2zeWZM3Mm3UPa8D6vjceNoxcwd84cugFz5s1juO+zbPAXevhhGv/v/wAXBH7vK6+k6brreP3ll1llyhTaLVnCwo03LmrLq8Nrs+Ps2XzvF79g4mGHMfbss0vmbTi1OOTgyBEj2Dq3P/TBB1mx6qosXbt0KMeier3jV19l7/3354vTT2fJ2muvrBdg8dKlTJ80iQ2BL8eOZXxjI3vjIkMviRCZ3h86lH6hZ9Lz6aefslUZ5WZPnEgVIqO1OObNm0fXjOucPWfOyrGdMWtW2QFEWwrLm5p4s7GRbaZMaRXX2gJ/p9bEWV594SWo6kIRGYN7KTixdl0zDMMwDKMkQS+gNOLUiBHO8CEYwiXuBXk1PUEAfvrT6tYfQVarQB4A9MEFt98FuCSYQVUvARCRPwAXExInLIQkKwdF5YlKDzNLKZU/th8isjXOLTIyqI4FbU2GBVGM4PnnXQyu1VcHYIeddnJ+4HF8/fXK3a6rrebGNuda1853U+uxzjp06dKFrl26ANCvXz/YZZcCN7zuubaDNDQ0uCD6uVXyunXr5vJ37x79WbZvnz+XC8bebvlyGjbaKL/aXomb8sqyX7rFZjd47z02iGir1Pdp6755j+rdPGu4hNZSRQEn99gDVNn89tth0KCCc6tMncqGObfJXpMn08tXdpVOnULr77f99on6kYSt/vrXssqt0SGrn4iWTdeuWctfsMaaa67cXztGdG0NdOjQwf3PdA+T0VseLfB36hNgfxG5UVV/5ku/GlAR6a6qv6hR3wzDMAzDKIX33OYJYHHPK8HzG2xQOtZzqTZbGVmtArkcN7kqCqQjIucBH6jqq7m803HxHZIQu3KQL89EEekAdANmxZQNS58BdBeRDrnr8eePagMR2QD4N3C8/82qYWTKiSe62FV9+rjjpC5tSfONGVN4HBYbrNRN8NmQkH5eHRMmFAbLB/BEn//8B374w3xbm22WrL/BehYuTFfOI0vT3uAqmUHeesttX3wROnRYObYS9RnVg4tgJW6YrQnP3DxL2prbo3e9ab7X554L/ftXpz9tj/a4WKwzA+lv4+KD2T+7YRiGYdQrlViAhTF9Onz0UbI2WxlZrQJ5toi8ICK3isivRWQP3+lfeeKXL/9uInJLgqpjVw7KHZ+Q2z8ceFVVNZd+ZG4Fx15Ab2BYVJ25MkNydZCr8+lSbYhId+B54EJV/V+C6zGMyvBuRHHC1jPPwLvvFt64SgUd//BDt50+vTA9qQDmd8f0Vhtp184JYxttVCyQdc6Fyhs3LrrOJHh98gtgw4fD/feH548qH4cqDB1aetyXhHo/x7cb9ePy6KPJ66sWo20hNiB5zL00+L9LbUEMU3V/L72UroyRFX2AS4H1vQQRaYdbnGgMblEgwzAMwzDqkbQxwOK4/XboFxNsxQSwkpwCHIULqDobONh3rijAjaoOBXaIqzThykF3A2uJyFjgXOCPubIjgcdxscleBM5S1RVRdebqugA4N1fXWrm6I9vI1bM5cLGIDM/9rRt3XYaRGu8B2RNOgjek55+Hjz/OHx9yCOy6a+ED5CefwNixkTezNYcNy7tMhlmAlboJ+t34vH60a+eC7QMMGxadv1z+85/8aofffptP33HH4iD7USS1RnniCdh9d3j44eg8aQQwH5EWYLffXlZ9RhXwrPeyxC8atxUBzBPaWzq33VbrHpTDp8BzgP/GcrGqzs+9wAtbvMgwDMMwjHogaAEWfH4YOZLMaaUCWFYBXl4Flqrq58DnOOHJY7yIHKSqLwTKJBpRVR0MDA6kXeLbXwwcEVH2KkJijYXVmUsfh1slMpge2oaqXglcGXsRhpEVURZgXhDBON/uESPgBz8IrXrDMIsjf/lS1lJhgpb/oT7Yj2nTSlukxaGad52shKQ39lz8riIhz49fAEsjhrXSHxcjhhd8P4lPPVW7fjQXqvmlu1s6e4Wt81P3/Bj3QvBH5Octs33ndwXebO5OGYZhGIaRgGAMsODzwzbbVK/NVkZWFmDfBz4SkStE5Oc5l0OPc4BzROTB3Lm9csttjwmvyjCMIuIswKI4//zieiJuZhJWZ1IBLCxG0n/+49wwo8reeWf5Lk5ZiUZJb+xrreW2M33hc4J98IteKdwXIy3ADKPa7BBriJ0dqoWWmi2ZarjEVp+uwBu5F3cea4lI79x+lxr0yTAMwzAMj5kz4dprw59z4izAwvJWiglg0ajqbsD9OEuwjYCLfOdmq+pBwJ04t8ejgfHAGVm0bRhtCs9lL6loErQsmTkz8qZYIIA1NcHgwTB1anHbYUTdID0rl7Dzi4q8o5OT1Y09aT2TJ7ut/wH++usL8/gFsDQubWYBZtSK7beHgQNr3Yto6tU1tF77FYGI/BkX4/TXInKN79Q1wBEiMgAYUZPOGYZhGEa9M25c84RxOOssuPBCGDKk+FyaIPhZLaTVSp9Rslzj/v+palfcJKsIVX0deD3D9gyj7eA9cHkiS7k3pFNOyVtlBfHXuWgR/OQn0eeDxLkzRpW95prwdIDddoNLLnH9UIV99omvL+24JHmz8cYbcMEFbt//4BtcOcUvgPnjO8XQ4z8WeseoEarNZ83kBcFPQ70KTS3PAmzfnOXXy/7EXHiHq2vTJcMwDMNoIXir1MfNY77+Gl55xT1vhTFnjnvGWm+98PPeQmIXXwz77++eLebOhQcfLC2ABVeiX7YsvK/VeE5qgWQpgNXpTNUwWhFLl7pt1A142bJ48WXKlNDkAguwsDcHpW6CcW8aosqOHx9dZtgwOO44mDXL1f/aa/lzUTfwjTcu3Y+k/fLzxRfh6cHPwL8SZQoBrOunnybOaxiZE+a+XA1Us3sjWWtangBmGIZhGEa12W8/t+DYr34FXUIiC/Tq5USwqOe4Djlp5u233XbBArew1+DBsN12Ls2bgxx3XL6c56ni4T0vBpk2LdFlrKSVCmBZzuIskI1hVAvPEsK7oTU1wfvvw7nnFt5Ev/Od+Lo6hOveNRHA4pg9G26+udjCLEwAe+cdmDgxvJ5KLMZWWy2/X8oixf+jkkIAMxKQ5HttlEcpMWf11bNrZ+FCuOee7OqrJfVqmRbNNiLyeODvCRF5PL6oYRiGYRiJ8ELHBJ97nn4aTjjBiV+lCD6jqebLeFZe3ovLDz5wWUSKF9+KEsA23LB0+0HMBTK+LhHZhxKWYKr6aobtGUbbw28Btuee7vgq30Kny5bFq/sRD7yrf/ZZ/qB//+IMlbhAVvIG4ZxzYMst4/tSypXQWyUzTb+GD3f+/muvHd9HKHQtNQEsW1pL8PRqsvvuTgROg2q0BdgHHzjz+yz53/+yra9WtDwLsF1S5m9xCp9hGIZh1A1BC69DD40vM3w4+J/FoPB5J+gC6Sf4PLN0afjLurSW+K3UAixLAWwaUOr1rgKbZtieYbQdvJuYd/NrasrflII32Ti1PsnN76WXitMqsQCr9A3CggXx9V18cXhZ1Xww/iBh17TxxvDcc7Djju74lVfCyz72GAwalD++6ab8foSVXZtns82iXUprzVFHpVq9s+445ZT0AhhEiznbbVd7S6c07a+3XrELQLWo9bikRFVL+JqH5m9xCp9hGIZh1BxvflCOcOQ9d/hZsSL/nJdGAJs6tThWcTmYBVhpVHWTrOoyDCMG1fzNLnjTmz69dNkos9g4St3Myw2Cn5QkLpBR/OMf0edmzChO+/pruO66/LH/h+bf/07erlFMPbsydu5c6x5URpQos9VWEBVnrpQFWCmRp0OH+ovnte22zSeAtTwLsCJE5JKURRpzixkZhmEYhuFn9GgXNsKbH2Q1R/LXEyWAiRQ/o516ajbtt1IBrOXP4gyjNTBnTrhf+O23w6RJxQ+j/uDxwZusFyQxijixKopSN8GvvipdNkw8S3NTDV5jU1NyK4ycj3woN9wQnu4fo3Le4rQkk+Hvfrf52vLHU6sVu0R4g7V0ASxKlBk9unS5KHddEdh88/gy550X37fmoDmtslqBAIZzc0zzZxiGYRiGnwEDYNQo6NvXxdfy5iJZCmCTJrl971kryeqOI0Zk035W9dQZmViA2ZtEw6iQNdZwW/9Nbfx4OPNMeOCB4oe7wYPz+2nFlmpYgF1+uduKhN+Yw8qm+XEI5n388filiD0eeCB5O/76PcoRs+rNOqYUzRmvrB4EsChaugBWrgAUdd0izhX4f/8rjl3RsaNbxrvaJP0fh+YVwFqYC2QYqvqXWvfBMAzDMFo0Z5xR+FIsqQA2c6Yrd9NNLoRLlDX+ffcVGj1AuAFB8FmlJT2H1ICsXCBb/mzQMOqNhQvddvbs4nN+ESttoOpyLcDC3AWDdOsWbskWdiNOc3M+8cTC4zPPTF62Usox/21JPzyrrtp8ba2ySvO1FUWUeNHSBbByrJJUS38ma68NhxxSnN5comkasd4swAzDMAzDyJIpU+DLL8PPBWNzQbEAdu+9cPLJxWUvuMDluf9+GDMGrr8+vI2/hLyrCjyXSFNT+cYNbZRMBDB7k2i0aWbOdA+KAwem87n+zW9gk03gD38IP+/dzDp1Kn6484tYaYMcVjMI+Xe+Ey6AhYluLUUkKmUBtt9+4enlioy1oEuX5msruDjAd75T0xUevzzxRHrdd587qKUAtu++8GqFiySX63ZbjijZXAJYcFnvUpgFmGEYhmEYWbLTToXxRddbzwliq6ySbHGwCy8MP79iRX6Br0GDChfViiPsxfwPfpC8vGExwAyjYjyf7AED0pW75ZbS8XP8AliQt99O15afK68sv2wcUQ+GYYJQc7hQZUEpoS5KtGhJAlhzBqYPCmBeXIMaMWu33fIHtRTA+vWrvI6ZM6PPPfkkHH447L578blyxCz/PSmNm2JaFi9OntcswAzDMAzDyJLg4jpTpsDQoW4/7PnAvwrk+ee71RjDaN++/HlLOfOuLOe4v/hFdnXVCJvFGUa9sXQp/L//526y4B42W0pQ9aib+VNPFadFBaCvN8oRs1qSANatW/O19c47hcdphIQzzsi2L+AmEbfc4mIshAnNzUVU7Ic0+Mdy9dULzx12GDzxhDO196Na3gTML5pVU0BNI4A1pyhlFmCGYRiG0TbxXuCXEsCWL4e//jW6jkoEsHJCs5x/fnlthbHNNtnVVSNMADOMWuNX8i+5BB56yIlDnmtkx47pXIGMbGntAliPHnDHHXD11ZXV85OfuO2nn0bnCVp8pfnxT5L3pJPgn/8snWettQqPzzoLTjiheS3A1l+/UHgMWsaFMWFC6fN+kdwbq6CFadgYViqAZbmK6NixhWb8ZgFmGIZhGEY9MW2aCz/jzXv9JA2CX+4LSChPAMsydEVzLp5VJWwWZxhZ8cEHeX/uNPgDF15xRf7Nwty5btupU30LYEOGuO2FF7ZOy4hjj01fptJ4Ts2JKpx2mlu+uRKee87VteWWycuk+b4k+cFfZx3YYovSefr3D08PCmDbb5+sX+XQtWthXIgoC7CNN87vxy1WEDbZ+tOfCo+D461a3kTGK3PCCXkBf80109cTZLPNCoXBNAJYc9Ia73OGYRiGYcRzwgmwww7w+uvF57wXZP7V5MNoaqrMBTKtCJZ0rvfww/F5WsEcyAQww8iSzz9PXyYYBNyz5PBEr3oWwFZf3QXwBmfF0gpuijXnssuqW3+U9UpSq5asXN7atSv+vhx0UHT+JDH2TjstPk/XrrDLLm7fb30ZFMCuuSa+rnJpaioc7ygBzG9NF+cm6RfAvHENxokIukYCbLstXHVV6bqD/P73bhyvvjo/CevbN10dUfhdUQcMgF69kpVrzntPNeOeGYZhGIaRHZ99BiNHpi/3ySfpy3hzkeuuK53v7rsrswD79a/TlUnqmdJSQu5UiAlghlEOQ4fC11+7ff/DUHBFtREj3PkZM6JvKkGrMS+f3wKsXldM9F/T+PHZ1Nm7dzb11APffJO+TLWXMg4KPd73N+yHOGjN1b9/MivHJG+aOnYMt0iqhM02i59Q+IS3gpybb15Z2x633hqfJyiARblA+u8naQSwxkYnUnXvXpinRw+3Yq2HiPu76KLSdf/4x4XHO+7o7k/rr5//zLJyC/R/d3r1cgt+JLGoTDKR9MT6uIlpHOW4HxiGYRiG0fxsuaWLW1UqRMeXX8IGG7iFzVThrbdcPOa0zJiRPG+586amJrjrrnRlkhpoZD2/2XrrbOvLCBPADKMcdt8d+vRx+/4Hz2XL4JFHnNvc228764rrr3euWb/9rVuN7fXXCx/0g4LCuecWHtcyOHccWYZREAAAIABJREFUCxfm95cuzcYKI2gR15JZf/30ZbISYqJYY43C41ICWLk/zp67Xlh8hI8+cttOndILYH/7m3O1LEUKAaygvR/8AF5+OXlfovCvLBmFauHYBj+TMNIIYDvs4MTKsLG4/fbCfoSx6aaFx08/XXjsF+y2285tv//90v1LStAVt0cP2Gef+HJJvqsvvACzZ8Pxx5fXNw+zADMMwzCMlkWpecqf/uReWj/8MJxzDnzve/Dii+nbSBMD+JFH0tcP5XkbJRW2kuRL86wX9oJ35kwXr3fw4OT1ZIwJYIaRFi8uzcKF7kHI/4ZgyRI45hh3Ax0zxqV51gu33gpHHAF77w2/+U2+zLBhpdurVADzgulXm+XLsxHAZs2KPhcMcL7HHoUP9PXE7runy//rX7sxzDKoeBhRAliYgFDu5+lZLl1ySfE5L1ZUmAWY/4f3ttvy4orHuecWimr+gOlJadfOWUcBCzfYoPDcHnvk9zfaqLhsXBwugH79Co/DBLGgBdg66+T3oyzs4gSepFaihx9eOsbDfffBF18UpgUnMP7jvfeGiRPhV79yx5WuDnTlleWVS/Jd7dTJWcX16JG+/quvdi8vDjmkeCEFwzAMwzDqm5kzYcoUuPHG4hdZjz7qtqutVr/PFR4335y+jN9goRRZu0CGCWBrrgm/+EXpsCdVxgQww4hDNe+WdvTR8Mtf5s9NnQpvvJE/9j+8vvCC24bddPxuUiedlF1fwwiuBFctsnLTLBX4OuiSt8MOzbd637vvprNySSsebbKJs/Lxj+N668WX69kzXQD7qGDlYQLLjjsmqzMoKHhxm0otER0ngB13XPybqP32i64/ChEn1qiy3B9wHQrF5m22cW/Z3nvPHa+xhovZUIowgeyvf3UCkR9VJ4Z7+AWVqBhrcRZgWU1aTjghPP2ZZ6L70rNn6u/7uFNOCT9R7v9zGsFZJP2LhXbtnOD61FPxn4VhGIZhtFRU3UtILxRLNXnttfSCjqp7WeafWw0f7p4fli/PW2F9/DH89KeFZddbz71M7d/fvRCcP7/w/Lnnts44WBdfnCxf0msfMsSt3H322aXz1el8yQQww/Aza1bxQ/dtt7mHsilT3BuCZ5/NnwuKNV6MGcivAPLmm5X16aGHKivf1BRuzZI1zRGnbLXVCo+POab5luPt2dOJnUGrJD+lzsXh/Uj4v1PBmHJReG+yxo2Lz5vGBXLgQHfNv/1t6Tr/+9/C46efdmJR0AV0n33y35MwF0j//167dvGuZhdf7IKbpqGUUBP8Lm2+ef4aVPNWTlGECXarrFIs6jQ1uXo9N+qw4PRB0rhAxuEJf2ksofxjEzaGPXu6bbUF/c02y+/7vx9B1/GsqdNJnGEYhmFUxJAhcO+9+eM33oCzznIW0948RbVQHFFNHg7gv/+FefOcYBKkocG5HIbx6afuJeQdd8Cuu+a9CoYPd/O/DTd0MbcmT3YvbM88E3baKT+nuvZaeP758LrPO895lXTt2jYW8PLPnUqR1FWyocHVecMNpfPV6dzJBDDD8Jg+3VliXHGFO54/390UPXX7/feLywRdhWrNK68UHvfu7R60hw+vftvLlydbrTIYXyjIXntFn+vY0fnle3zve9EBxLMmSYwhv4VYkh/UQw5hiWeR5bnB+ccwqTWMNwlJMhZdu4aXDevvaqsls3oL/sD16AEnn1yc74UX8m/mwizA/JOrdu3i30S1a1e8aELYddxzT+nz/nMNDfDEE/k079o8t0UviLz/e+jhjaXfrLtLl2JrI89izxM7g8JuGFm5QIILan/vvc6tLylxE90113R9yLmXpuK99+Bf/8ofX311eGyMnXcOn0CDG5+gxeQPf5jfjxMv46jTSZxhGIZhpOLBBwt///fdt3DO5o/F6wWOv/12N8ecPt0dH3FEgaiy1TXXuDnU00+73+/f/c7NhXr2hP33dy/eevfOe8o0NRV6dSxZ4uYZl13m6hk82Ilvu+wCp5/uvDCuuAL23LMw1MQ66zhvHHALlH3yiavrxz92oltzcdZZ0efSeGlkRdD7qEsXOPJI2H770uXSWr/Fvaiv07mTCWBG62Xp0uKHtssugz//2cVbCp6bMMFt//1vt33rrcLzQTNayAf0rheC7m1HHum2SYJsh3Hzzc7EOMkNbPlyWLTI7XvWIGG89557KxPFlVe6H84w/CtiXnaZ2zaXBZj3o1BKCPALHV4w+1LXus46vPPYYy7u0nHHuTS/BVjaWENJRLczzyw8zmIVv6ign8Gx6ty5UAALthm0ACsnPkCYaJjm2oYMcWbxHp6oGHwr9uc/w4UXFgq6e+7ptv7Anl26FPZp0KD8PcYvgA0ZUjo2Vxx+1+w4RODEEwtdNl980X0PK6F9+/LepPbrBz//ef74wgvhqKMK8yxaVHxPDjJ6dGFwWK8vzz2Xj+8RRnCVomCsQajbSZxhGIZRh/ztb+43qRLmz3fCTxqmTcvPxaM4/ngX9P3UU93qh0GC852mprzAM2yY8yr55z9d2SOPhPbt+a63iNChhzrvjJtucvOKSZMK6xo+3M2nH3yw0IL/vPNgwAD4y1/c8S9+Ed73t98unluOGOG2/vpeeCHa+qsaXHVVtLfN1187j4pyg96Xg39+d9hhbg7z6KPxcaFXrIiPxZrm2SQsFnAd0CIEMBE5UETGiMhYEfljyPnOIvJY7vxQEdnEd+7CXPoYETkgrk4R6ZWr4/NcnZ3KbcOoEVdc4f7hOnd2N+brrnOms3vu6W6sV13lbkT+pWoXLMi/UfjoIxdb6s9/jm+ruQLMh7Hhhk7h96vvHTo4818PL3ZZufTq5cSsA0K+1p7Y44ldK1bkf3SDlmgey5c7Me6CC8LPz5/v4uxEPUR37JgX+Q49NJ+WlP32K7aSOv30/L4nDs2cWVzW+8H1u7kG8b85ue02t426VoB589AOHVzcJe8B228BVsqdzJskiOTNx9dc000gSrHHHuEinjfmBx9cunwYwRgKHj17Qt++hWnrruu2xx/v2vS7VwYFsOuvD6+3V698PUH8bpfbbus+r0rM273vS3DM+vVzb1DvvNMd//vfhXGyPLp0KfyO/upXeWs/7/9ltdWc5dnRR7tj/0II117rBCGIXk5a1VlOXnxx+UtOH3BAdPwvSG4+n4SwcYpjlVXi/9e7dSvsp/e5+1f+DOP//q9QdA+beJsAVhGVzOMMwzBaFN984wSdvn3dQjHbbuvSPascVZgzxwlkU6e63/g5c5xgNGWKi4u1+urws5+555fZs928+uabCwWxZ591c77Fi53Y8/jjzgL/pz91boGNjfm8DzzgvFbefjufdtddhS/xJk1yIlIwpMAhh+T3Tz01bzAA8Nhjyd3mwLlDdujgXsL5ueWWwhe0STxKPLwXyFmFYjn22PD0UmJOx46l5wmnnlr8Yg/yCyX5VyFP4hWQBG9+6n8J7PWxZ8/CuY43B1qxwomjfvyW/Xff7eZMUfifnXv1KrTErydUta7/gPbAF8CmQCfgI6BvIM+ZwIDc/pHAY7n9vrn8nYFeuXral6oTeBw4Mrc/ADijnDZKXVO/fv20zdLUpDpsmOq0ae54+nT3N3euqqoOGTLEpc+YoTppkst3662qDzzg0j/4wKUvXqz68ceqb7yh+vTTqmec4bzRf/Qjzys92d+uu6quvnq6MvXy9803bkwmT86nffih6rx5qpde6o6POSY/9lH1/OY30ecGDnRlFyxQff991RtvdOlHHKF6xx1uf9o0t33xxXy5RYsK6znzTNXbbiv8LoS119Tkzp17bvj5+fNde7fcks87eHDyMRswQHWffdz+73+vOnKkq+OUU9zx8uWq48YV9++mm/L9XrZMdY89wuufOjW/7+fqqwvzNTS47YEH5r/zHn/7W75/Dz2UL/PKK/n9ceNUv/7a7W+wQfH/2bbbunO33OK2q65a3C/v2PuOvP++O/a+O/68v/udO+7fv7DsIYfkv3elANU11sgff/tt/vNranL/0973zat7xQp3vlOn8DH1M2aMux/42/N/9/3jOG/eyuSisQ9jwYL8GKq6cTr99Hz/S10zqC5dWnjsp3Nnl7ZgQWH6tGmF1+PRt2/h96h7d9Ujj4y/hqz4y1/y/4eliPs/VNUvTjnF7R99dPp++McybFzXXFP1yivz3+WPPiquY7/9Cu8Lwbpeeqmwz8H7VxUB3lOt/fwrq79K5nFxf216PqXqfrMiSHR/qzcWLFB99dX4+2sQf37vtyOKYcPcPeGSS1SPP774vDc/9Zgzx22/+EJ1q61UL7+8cNy935Q5c1QnT86P+4IFhffKKVNUH3nEzSG8/B9+GN1fr41Fi4rPLVlS8hJbPZ99pjp6dP74xRdVR41yY+99F5YscXM8b/yamlRff73w8x071n1GX3+t+u677rNcvlz1zTfd92P6dJdvyhTV5593bTY1qf7zn6rrrqt66qmundGj878Vxx0X/rvX2Oi2WTxznHdeuvzePKpr18rbbgt/S5YUpz30kPsuPP20+y4cfXTh+aVL3b3lgAMK04O/UddeW1xu4UJ37pNPVO+8U/XYY925Z55J3/f99lN98EFX3+LF7vlm0qR8+8uWqV588crn7pXlvOeuG27I573oIpfm73MY/va9/09Q3Wwzd3zddcV5momo+VQzBc+piF2Bsao6DkBEBgGHAKN8eQ4BLsvtPwncIiKSSx+kqkuAL0VkbK4+wuoUkdHAvkDuNTz35+q9vYw2fBJ7M7FokfN99vDeeIu4r1xWzJ/vfMK32ca1N3jw/2/v7qOrqu78j793bu5NQkIiIQmBhB+KgNjmB0qjozZVRHHSgYEuljg6oNhY43T0Vx9+1VbbqaPt2GlHl46rU2cF7dDYHw8tFRQGqsaa4lqKDg9FIJUHFQIICSHhIQ83N/fe/ftj30suIcHwlCPh81qLFXLuuefs/T37nPvNvvvs477VaG2FsWNd7/K+fZ0jqUIhqKo6fjtFRZ3DVmMmnmi/d9zx+WVL7EHvjQ8+OLn14666CqZMOfapGmPGdA6/Xbq0c4QSuCfBxZ/GuGWLu+991Cg3qqFLDHotPtIlP9/F+c9/dt/CDBzovml44onuv23o6rnn4Kmn2DN7NgWvvuqWzZjh5uSJf2uVnu5Glk2YcOxIifJy9zPevu68091G1fU2tOef7/mbkfx8116qqo5ts3Hf+pb7lgrcNnJzj73XPj5yb+LEzm+7rrvOfYMW9/bbLj533dU5+mTSpM7RSfHtQ+cTDOMeeODYCTqTk1184t+iPfNM50jAvDw3oqnrvFSPPgqFhW4+g+Ji9y3cqFFutFtX8VFkAwa494Db3403HlvGxkb3/+7moopvI/5kvH/9V3dbX3fD4uPHbsIEWLfOTeQfH10WF/+GKj7J/3/+p9vWvfe629Iuu+z47Sb6+OPOidfjdYszxs3dFC9HvE3F28DPf+6OQeItcl2NGXPs7x0dx7a3m2+GxYvdt6m9mXA+UeIcYODi1JtHZL/3nrtFIHHUUtdvPEeOdN8Ad316ZG5u5yixRF2v401Nn1+OM+lHP+rdcPbMzJ7n3ug6Qu3CC0++HBdffOz8i11vlY2P4IxE3LEvKjp+G0uXuhGWixd3jiYcM6bz3LnpJvd59tFHrv3HbyeXU3HKeVwsge17GzfC66+7uXCqqtwIy9RUd+0aNMid29de687h1avdpNH5+W6dVavcqI0pU6Cmxp3fGza49rVypRtdsWWLW/7pp+68Hj/eXVcSR1ZceaXb1zvvuOvn1Klu21u2HFvWESPctW3Bgs7raW4uI/Py3IiO995zo4NXrHCfzaWlbpTIunXuVpbCQlffzz5zowL+/GdX7ngeUFjoPqPz893nX06O2+fatbB+vfts+trX3D4CAZcjbt/uPieefLLz+vbww53n4iWXuHO4pMSNICkudv9PHHkwY4YrY3u7y0EyMtzn3cGDrq7xeRm/+lUXo7Iy99kYz8sGD3Z50saNLi4XX+y22XVk8ZtvutEy4PaR+DTv7nzOdXBi1wWBwLGj8f/+713948cxJcXV8eab3XxHL7/s2kXiPEwXXuhGCrW1uWOdOIp2wACXY82dCzt2uM+OTZvccbr0UndN+/BDNyfS3r2uze7YAZs3u8+zK690MSgocHdGXHONO66vv+5GjI8ZA7/+tfsM7uhwbXTDBnedt9bFORh0OW98BPo117hrfWOjyw/eecfNGbVunRuptG+fOxbLl7t4f//7bvTOihXus6OgwF3HR4xwsUl8mJTf3+O0C+Mvv9yNvqqvP/Ex7K0nnzzx63Pndo6yiXv55e7XnTjR/expxPzJePrpk1s/3v76ck6svhLP7+Iee6z7+U2Lizuf6v3Tn3aOrO9O4nQm1dXuHLviCvf7tGnuZ2mpG3n24IMuT0hOduusXOmuSxkZ7jrYdQqa733PTeofv/XU7+/ME4uK3L9Zs9xUPb0Zef+rX3XO31Za6vYfl5Jy7N834MrZXbuOP4E8MWe9/37YuRO+/W13nu7c2X0ZfvObY0fNxefKnTXL/Xzkkc67YZ577vPr1AeMV7lFbxljbgZKrbXfiv1+O/BX1tr7EtbZFFtnd+z3j4G/wiVTq621v4ktfwmIt4zjtpmw/qjY8uHASmtt0cnuw1qbcDYeq7i42K6Jn4Rn0ubNfFBUxAqgFJdZ1gLlQAXuq9eRQBUu01wN1CW8PhbIA1YBM2PrHQLKgBeB8UAq8D4wG3gFiAK3AJXAFUAYWB97TyWQHivLIqAEaIyVK77P3NjyJbiex1pge8LrhcA4ODN1uvxyqtav77lO//RPvPLjH7s6fec7VD7/vKvTI4+w/pNPKDt8mMo33iB96lRKn3qKRYsXU/LRRzT+9rfU3HEH5SUlVNxzD7n33UfJXXex5KGHmHT4MLVr1rD9m9+k3OejYulSCn/6U8Y1NLBi/35Kp0+nZtMmapcvp3zlys46/eIXVL39NtOnTWP1/PnUBQKUX3stFdXVjP3v/yZv1ChWzZrFzJkzqaqq4tCyZZS99RYvPvQQ40tKSE1N5f3332f27Nm88sorRKNRbhk/nsqXXuKK3/+e8MMPs76xkbLbb6fynXdIT08nOzubT++8k5IhQ2h8/nlqNmyg/N57qaioIDc3l5KSEpYsWcKkSZOora1l+/btlJeXU1FRQWFhIePGjWPF8uWUTpxIzY4d1G7YQPlNN1HxxhuM/MpXGDlyJFVVVUyfPp3Vq1dT94//SPlVV1FRXMzYrCzyJk1i1apVrk4vvcShZ5+l7IEHeDEzk/GDB5O6di3vX3TRsXW65RYqKyu54oorCIfDrH/vPcqSk6n0+0nPzKQ0JYVF27ZRMmUKjY2N1NTUUD5tGhVz5pB7552U3Hhjz3U6cIBx4TArhgyhtLSUmpoaamtr3esvvMDINWsYuXUrVTNmML2yktX19dQ9/vjR948dO5a8vLzOOlVVcejQIcrKynjxxRcZX1BA6rBhLPrd7/jhD3/YWaepU6ksK+OKhx8mHAiw/ne/o+yJJ6hcsID0JUsoXbeORY8/TklJCY3r11Nz8ODxx+knP2HS4sXUzp3L9t27jz9OK1ZQWlBATXk5tbfdRvnTT1NRUcHIkSPdcaqsZHpGBqtHj6aurs69/+c/Z+xVV524TuPHd9/2uh6n9espKyujsrKS9PR0SktLWbRokavTM89Q84c/UL5nT2edLrmEJX/6E5MmT+657a1YcfxxSqxTYtuL1emxxx6jtLT0xHUaN47UH/+Y97/0JWY/8cSp1amxkZpNmyi/5x4q5s7tPE4vv8ykvDxqhw3rXZ2GDaPinnsYed99ru1dffVxdepV2zsTxyl+PsX2ecw14pprqN21i+07dlB+991UPPUUhVu3Mu6pp1ixciWlX/86SxcuJLW6mvIFC6hYtOiEx+m4Ok2eTNXSpRwaOJCymTN5cf58xk+YcPJ1Sk2l1O9nUWMjJV/72vF1CgQoCQRY0tx8zDXi/vvvZ9CpzqvYC8aYtdba4rO2gz52Onmctbahu23GnbV86uGHmff00+ygM58YgcspXgemAuuAzxJeHw0UANXADFze0ZDwehGQCbwL3AYsB4LALGAeMAE3L8kaYA6wEPAD04D5wNVAM7ARuBuYC2TjcqfFwHXAPmBLwj6HAsXAMmAysA1UJ9VJdfoi1Ck5mVVJSTSEQj3XadAggk1N3ddp0CAWNjW5Ot10E/Orq7k6FOq+Tjk5LG5o6KzTiBGU5+ZSMWECQysqKB49mmUff8xkY9gWibAjJYXyZ5+l4oUXGLFxY/d1GjqUir/9W0b//vcUzJzJb+rq+M7117Oqo4OGrVsp37ePij/+kaIpU8i8+mrenT+f2z79lOX19QQzM5k1ZQrzFizorJMxzMnNZWF9vavTQw8xPxLh6k2baH7rLTaOGsXdkyczd9kysnfvZtKIESweMIDrnnuOfR99xJb776c8M5OKBx9k6J/+RPGtt7Js61YmL1vGtqIidnz5y5SvXUtFZiYjJk5k7Le/fWydfD7Kf/YzKqqqGD17NgVvvkl1NMqM736XVatW0dDQcDQ3KCoqIjMzk3fffZfbbrmF5a++SjAaZdasWcybN48JQ4eSlJPDmo0bmTNnDgsXLsTv9zNt2jTmz5/P1ZdeSvPzz7Nx2DDufu455s6dS3Z2NpMmTWLx4sVcd9117Nu3jy01NZT/8pfuOFVVUTxhAsv+8hcm5+ezzRh23HAD5f/8zzxz3XUUbd/O2Hff5fXXX2fq1KmsW7eOzz777GiZR48eTUFBAdXV1cyYMaOzTgcPUrFnD0Xf+AaZy5fz7sUXc9vtt7N8+XKCwWBnnSZMICkpiTVr1nRfp7w8mmtr2Ziayt13383c//gPsocMYdINN7g65eSwr6WFLW1tR8s0dOhQ7rnnHs6mnvKpc6EDbCbw110Spyuttf8nYZ3NsXUSE6crgSeB97p0Tq3AnWvHbTNh/cQOsBXW2v99svuw1h4zi64xphx3DWTIkCFfWbhw4RmOFPhaW8n68EP3S+y4Js56ciaPtC8YJJyeDsYQTUkBa/EfOUJSMEj7kCGYSITkQ4ewfj9J7e0E8/NJam+nefRoUurrSW5pwVhL1OcjlJ1NKDub1Lo6DltLekYG/oMH8bW2Ehw2jGhyMuGBA0ndu5dQTg5YS8a2bYSyswlnZIAxhNPTydy8meZRo9x2U1LIrKmhPTcXrCUUm7Avbfdu2vPyCKenM2DHDlIaGwllZdFWWEg0NZXA/v1EU1MJdzdKxFpMNIo9mblgrCV13z6C+fm9m4coEiFtzx7aeppIEUgKBrE+Hzaxl95afC0tRDIyPncXgQMHjsYjUXNzMxdEIkQDAaJdR6ScDZGIi8npTL7+BZEUDGLC4V7Fv6vm5mYyTuF9/VZ8kHQftAvF3juKfc+uv/76/tYBdsp5nLX2uAkZ+yKfIhIh4+OP8R86REdWFsZakoJBfK2tdGRlEQ0ESAqHST5yxOUEsbzD+nx0ZGaS0tjormPRKKGcHAKNjURSUggcPEg4I4OO2IjY1Lo6fM3NtOfmkhQKEU1NJer3M2DXLkLZ2ZhIBGsMyc3N4POR1NZGMD8fXzDI4UsvJW3PHlIaGoj6/Vifj7bCQnytrfhCIVpbWxlozNEyJ7W30zZ8OEnt7aTt2kU4M5Pk5mZMRwfhrCySDx0iFCuHr6WFjkGDSAoGwVpSGhpoufhiUurqaBk5kkBTE1Gfj5T9+zHWYiIRktrbwRjaCgqwPh/JR44QDQQIDxxIcksLoawswhkZBBobsX4/pqODpEiEtoIC/AcP4m9qIrmlhdYRI/AfPkzgwAGOjBmDLxgkdd8+rM9HNBCgPTf3aD6Y3NyMCYVoHj2aATt3utwlEmHAnj0QiRAcOhQbK2fb8OEM/OgjOgYOJJyRQdvw4aR/8gmhQYMIZ2WBtSS3tOBvaqIjM5NQbi7+xkaSIhF8ra20Dh/uctpQiLQ9ewhdcAGZmzdz6LLLSNu9m7bCQpIPH+ZIJEJ6WtrRMqbu3UswP59wRgbRlBR8bW2kfvYZ4cxMF4OODtpzckitq3PHPBolOHQoKXV1R/eXsn8/vuZmomlpJLW301pYSCQtDYwhEMuX23Nz8Tc1gc+HCYcJDR5MR0YGKQcOkP7JJ0fbVnjgQMIDBhDOzCSttvZoDh2J5fQZ27bRnpND4MABwllZ+NraiCYn42tvx4RChAYPJikcpiMz0+U+kQjW5yM8cCC+YBCblEQwP5/U+nqSQiEiKSmkNDSQ1N5OR1YWwSFDwBj8hw8TSUtjwK5d2KQkAo2NtOfkYMJhomlpHBk9moFbtxL1+2kbNoxoair+piYCTU2k1tVx8LLLSN23j9CgQfgPH6Z98GDaGxpIy8wkkp6OTUoiqaODlPp6OrKysH4/abt3Hz33fC0tR/+GsD4fyS0ttA0diq+tDRPLhQNNTURSU0nfuZPDY8eStncvwbw8AgcP0p6bS9Tvx9feTmD/fkwkQkvs4UcmHCalvp5oaipEIkTS0oimpWGB5LY2ktraCMVGeQ/YuZNwerr7WyoadW2xq9jfdMmHD5Pc0uJi6PNBNIr/8GE6LrgAAH9jI9FAAF8wSCgnhwGffur+VsrKwkQi+BsbSWlo4Millx7dtK+19WhbAkg+cuRoXLDWnQ+DBmE6Otx5G4mQUl9PKDvb1S+mV5/p1pK2a1fn3zjxkfWfk+8lhULYpCQ3Zy4cLVOi5OZmoj5fr/9+ST5y5Gi+aQMBF4NzgIlEsF3mNVU+1bOe8qlz4RbI3UDi80MLcZ3P3a2z2xiTDGThBhud6L3dLW8ALjDGJFtrw13WP5V9HGWtrcB18FNcXGwnxofCnml/8zdnZ7t9pLq6mmt6E5vuJmXvOjn5DTeckTKdL6qrqyk5W+1SelRdXc1Zux7ICSn23lHszyunk8cdp8/yqXNcg5MuAAAIIElEQVQ8h6iuruZynWNnVze35vc6j5XPd6KHDnWjurqaryr2nfowFvpM945if/LOhaEX/wOMjj2dMYCbHLXrI6Rew41wBbgZ+GNs3ojXgFtjTxe6CDf69IOethl7z9uxbRDb5qunuA8RERGR893p5HEiIiIiZ8wXfgSYtTZsjLkPd/uxD/iVtXazMeZJ3Mz+rwEvAS/HJqBvxCVXxNb7LW7qqDBwr7U2AtDdNmO7/B6w0BjzE9x0Vi/Flp/0PkRERETOZ6eTx4mIiIicSV/4DjAAa+0K3Nxdict+lPD/IG7e9u7e+y/Av/Rmm7Hln9D5pMjE5Se9DxEREZHz3enkcSIiIiJnyrlwC6SIiIiIiIiIiMgpUweYiIiIiIiIiIj0a0ZzjPY9Y8x+YKfX5fiCysE9jVP6nmLvDcXdO4q9dxT7no2w1uZ6XYhzgfKpE9I55g3F3TuKvXcUe+8o9j3rNp9SB5h8oRhj1lhri70ux/lIsfeG4u4dxd47ir3I2aVzzBuKu3cUe+8o9t5R7E+eboEUEREREREREZF+TR1gIiIiIiIiIiLSr6kDTL5oKrwuwHlMsfeG4u4dxd47ir3I2aVzzBuKu3cUe+8o9t5R7E+S5gATEREREREREZF+TSPARERERERERESkX1MHmHjGGHOBMWaxMeYjY8xfjDFXG2OyjTFvGmO2xX4O8rqc/ZEx5kFjzGZjzCZjzAJjTKox5iJjzPux2C8yxgS8Lmd/YIz5lTGm3hizKWFZt+3cOM8bY7YbYz40xkzwruTnvh5i/2+xa86HxpglxpgLEl57NBb7LcaYv/am1P1Dd7FPeO27xhhrjMmJ/a52L3IalE95R/lU31E+5Q3lUt5RLnV2qANMvPTvwB+stWOB8cBfgO8Db1lrRwNvxX6XM8gYUwB8Byi21hYBPuBW4GfAs7HYNwF3eVfKfmUeUNplWU/t/OvA6Ni/cuCFPipjfzWP42P/JlBkrR0HbAUeBTDGfAl3Hnw59p5fGmN8fVfUfmcex8ceY8xwYDJQm7BY7V7k9Cif8oDyqT43D+VTXpiHcimvzEO51BmnDjDxhDEmE7gWeAnAWhuy1h4EpgO/jq32a+Ab3pSw30sG0owxycAAYC8wCVgce12xP0OstauAxi6Le2rn04FK66wGLjDGDO2bkvY/3cXeWvuGtTYc+3U1UBj7/3RgobW23Vr7KbAduLLPCtvP9NDuAZ4FHgESJyBVuxc5RcqnPKd8qo8on/KGcinvKJc6O9QBJl4ZCewH/ssYs94Y86IxJh0YYq3dCxD7medlIfsja+0e4GnctwZ7gUPAWuBgwofZbqDAmxKeF3pq5wXAroT1dBzOrjJgZez/iv1ZZoyZBuyx1m7o8pJiL3LqlE95RPnUF4LyKe8pl+pDyqVOnzrAxCvJwATgBWvt5UALGp7fJ2LzI0wHLgKGAem4YbNd6RGxfc90s0zH4SwwxvwACAP/L76om9UU+zPEGDMA+AHwo+5e7maZYi/SO8qnPKJ86gtNnyt9QLlU31IudWaoA0y8shvYba19P/b7YlwCVxcfrhn7We9R+fqzG4FPrbX7rbUdwCvANbihssmxdQqBz7wq4Hmgp3a+GxiesJ6Ow1lgjJkDTAVmWWvjyYFif3ZdjPsjcYMxZgcuvuuMMfko9iKnQ/mUd5RPeU/5lEeUS3lCudQZoA4w8YS1dh+wyxhzSWzRDUAN8BowJ7ZsDvCqB8Xr72qBq4wxA4wxhs7Yvw3cHFtHsT+7emrnrwF3xJ7kchVwKD60X84MY0wp8D1gmrW2NeGl14BbjTEpxpiLcJOIfuBFGfsja+1Ga22etfZCa+2FuERtQuyzQO1e5BQpn/KU8invKZ/ygHIpbyiXOjNMZ4etSN8yxlwGvAgEgE+Ab+I6ZX8L/C9cYjHTWtvd5H9yGowxTwB/hxu2vB74Fu4+8YVAdmzZbGttu2eF7CeMMQuAiUAOUAc8Diylm3YeS6B/gXviSyvwTWvtGi/K3R/0EPtHgRTgQGy11dbaf4it/wPcXBZh4AFr7cqu25Te6S721tqXEl7fgXtyWoPavcjpUT7lHeVTfUf5lDeUS3lHudTZoQ4wERERERERERHp13QLpIiIiIiIiIiI9GvqABMRERERERERkX5NHWAiIiIiIiIiItKvqQNMRERERERERET6NXWAiYiIiIiIiIhIv6YOMBERERERERER6dfUASYi4hFjzCxjzFpjzEFjTKMxptoYU+B1uURERETOBcqlRORkJHtdABGR85Ex5k7gh8DfAeuAwcA3gCYPiyUiIiJyTlAuJSIny1hrvS6DiMh5xxjzDvCatfbfvC6LiIiIyLlGuZSInCzdAiki4o02oMwYc4sxJsfrwoiIiIicY5RLichJUQeYiIg37gBeB54G6owxy4wxeR6XSURERORcoVxKRE6KboEUEfGYMeYrwCvAYmvt//W6PCIiIiLnEuVSItIbGgEmIuIxa+1aYCOQ7nVZRERERM41yqVEpDf0FEgRkT5mjPk+8A6wJrboNmAicINXZRIRERE5VyiXEpFToQ4wEZG+lwn8FzAMaME9uvsGa+37npZKRERE5NygXEpETprmABMRERERERERkX5Nc4CJiIiIiIiIiEi/pg4wERERERERERHp19QBJiIiIiIiIiIi/Zo6wEREREREREREpF9TB5iIiIiIiIiIiPRr6gATEREREREREZF+TR1gIiIiIiIiIiLSr6kDTERERERERERE+jV1gImIiIiIiIiISL/2/wHzR+VcAeLvOgAAAABJRU5ErkJggg==\n", "text/plain": [ "<Figure size 1224x720 with 6 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_title = greeks_title_factory(Vanilla_Call, \"gamma\")\n", "\n", "plot_compare(S, f=gamma_numeric, f_ref=gamma_analytic, \n", " f_label=r\"\\Gamma^{num}_{Call}(S)\", f_ref_label=r\"\\Gamma^{exact}_{Call}(S)\",\n", " x_label=\"S\",f_test_name=\"Numeric gamma\",\n", " f_ref_name=\"Exact gamma\", title=plot_title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparison of vega:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "vega_analytic = Vanilla_Call.vega(S=S)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "vega_numeric = NumGreeks.vega(S=S)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1224x720 with 6 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_title = greeks_title_factory(Vanilla_Call, \"vega\")\n", "\n", "plot_compare(S, f=vega_numeric, f_ref=vega_analytic, \n", " f_label=r\"Vega^{num}_{Call}(S)\", f_ref_label=r\"Vega^{exact}_{Call}(S)\",\n", " x_label=\"S\",f_test_name=\"Numeric vega\",\n", " f_ref_name=\"Exact vega\", title=plot_title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparison of rho:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "rho_analytic = Vanilla_Call.rho(S=S)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "rho_numeric = NumGreeks.rho(S=S)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1224x720 with 6 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_title = greeks_title_factory(Vanilla_Call, \"rho\")\n", "\n", "plot_compare(S, f=rho_numeric, f_ref=rho_analytic, \n", " f_label=r\"\\rho^{num}_{Call}(S)\", f_ref_label=r\"\\rho^{exact}_{Call}(S)\",\n", " x_label=\"S\",f_test_name=\"Numeric rho\",\n", " f_ref_name=\"Exact rho\", title=plot_title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2. Implied volatility <a name=\"implied_volatility\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Black-Scholes implied volatility $\\sigma_{imp}$ of an option is that value of the underlying asset volatility $\\sigma$ such that the Black-Scholes price of the option matches a target price $c_{*}$ (typically either coming from a market quote for the same option or from another model used to evaluate it). That is $\\sigma_{imp}$ is the solution of the equation:\n", "\n", "$$\n", "c(S_t, K, t, T, \\sigma, r) = c_{*}\n", "$$\n", "\n", "where $c(S_t, K, t, T, \\sigma, r)$ is the Black-Scholes price of an option of strike $K$ and expiratio $T$ at time $t$.\n", "This parameter is what is tipically quoted for options (instead of prices) and is, therefore, fundamental. Its centrality has lead to the development of very sofisticated root-finding methods. We'll start our exploration of implied volatility using the simplest one: the Newton method that we now introduce." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.1. Newton method to find the root of $\\sin(x)$ for $x \\in [-\\frac{\\pi}{2}, \\frac{\\pi}{2}]$ <a name=\"newton_sin\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's quickly refresh Newton method. It is a numerical method to find roots of a function $f(x)$ through an iterative procedure. The goal then is to find a solution for $f(x)=0$. Given the n-th approximating root $x_n$, the subsequent is found as\n", "\n", "$$\n", "x_{n+1} = x_n - \\frac{f(x_n)}{f'(x_n)}\n", "$$\n", "\n", "that is, it uses the old approximation $x_n$, the function $f$ evaluated at $x_n$ as well as its first-derivative $f'$ with respect to $x$ evaluated at $x_n$. Typically, a stopping criterion involving differences between subsequent approximations \n", "\n", "$$\n", "|x_{n+1} - x_{n}| < \\epsilon\n", "$$\n", "\n", "or relative differences \n", "\n", "$$\n", "\\frac{|x_{n+1} - x_{n}|}{|x_{n}|} < \\epsilon\n", "$$\n", "\n", "is used.\n", "\n", "Start from [Wikipedia](https://en.wikipedia.org/wiki/Newton%27s_method) if you never heard about this fundamental method." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see an example, trying to find a solution for the equation $\\sin(x) = 0$ for $x \\in [-\\frac{\\pi}{2}, \\frac{\\pi}{2}]$." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\gabri\\Anaconda3\\envs\\ITForBusAndFin2020_env\\lib\\site-packages\\ipykernel_launcher.py:32: RuntimeWarning: invalid value encountered in double_scalars\n" ] } ], "source": [ "# setting tolerance\n", "epsilon = 1e-8\n", "\n", "# stopping criterion initialization\n", "relative_diff = epsilon + 1\n", "\n", "# additionally, we set a maximum number of iterations allowed\n", "max_iter = 100\n", "iter_num = 1\n", "\n", "# initial guess for the solution: must be not 'too far' from the solution... \n", "# because Newton method is a 'local' minimization method\n", "\n", "# initialize approximation to an initial guess\n", "x_np1 = 1.0 # x_{n+1}\n", "\n", "while (relative_diff > epsilon) and (iter_num <= max_iter):\n", " \n", " # updated last solution found: x_n <-- x_{n+1}\n", " x_n = x_np1\n", " \n", " # function to minimize at last solution found\n", " f_n = np.sin(x_n)\n", " \n", " # derivative w.r.t. to x at last solution found\n", " df_div_n = np.cos(x_n)\n", " \n", " # new solution found\n", " x_np1 = x_n - f_n/df_div_n\n", " \n", " # calculation of new value for stopping metrics\n", " relative_diff = abs((x_np1 - x_n)/x_n)\n", " \n", " # iteration counter update\n", " iter_num += 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is the solution found (should be $x=0$ of course)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_np1" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sin(x_np1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the solution has been found in 7 iterations (very quick!)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iter_num" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.2. Newton method to find $\\sigma_{imp}$ <a name=\"newton_sigma\"></a>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now specialize the Newton method to find the implied volatility of the option. The iterative updating procedure becomes\n", "\n", "$$\n", "\\sigma_{n+1} = \\sigma_n - \\frac{c(...,\\sigma_n) - c_{*}}{Vega(..., \\sigma_n)}\n", "$$\n", "\n", "where we have considered that \n", "\n", "$$\n", "\\frac{\\partial c(...,\\sigma) - c_{*}}{\\partial \\sigma} = \\frac{\\partial c(...,\\sigma) }{\\partial \\sigma} = Vega(..., \\sigma)\n", "$$\n", "\n", "by definition." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An implied volatility calculation using the Newton method is implemented in the `.implied_volatility()` method of `EuropeanOption` class." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So let's consider our plain-vanilla call" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "PlainVanillaOption('call', S_t=90.0, K=100.0, t=19-04-2020, T=31-12-2020, tau=0.70y, r=5.0%, sigma=20.0%)" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Vanilla_Call" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use the Black-Scholes price of this option as our target price $c_*$" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([3.48740247])" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c_star = Vanilla_Call.price()\n", "c_star" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By construction, this option has been generated assuming a `MarketEnvironment` with an underlying volatility of 20% per year" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.2" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Vanilla_Call.get_sigma()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Therefore, we expect that the Black-Scholes implied volatility of this option to be exactly $\\sigma_{imp} = 0.2$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This can be easily proved usnig the `.implied_volatility()` method and providing (is optional) an initial guess `iv_estimated` for the volatility, as well as the target price $c_*$ as the `target_price` parameter" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Termination value for Sum of Relative Squared Residuals \n", "between n-th and (n+1)-th iteration solutions metric \n", "(NaN excluded): 1.3E-15 (eps = 1.0E-08). Iterations: 5 \n", "\n" ] }, { "data": { "text/plain": [ "array([0.2])" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Vanilla_Call.implied_volatility(iv_estimated=0.1, target_price=c_star)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solution is found in 5 iterations and is 20% per year, as expected." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One last example. Let's compute our target price $c_*$ with another volatility value: $\\sigma = 0.15$" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([2.10614816])" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c_star = Vanilla_Call.price(sigma=0.15)\n", "c_star" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We thus expect in this case to be $\\sigma_{imp}=0.15$. And this is the case:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Termination value for Sum of Relative Squared Residuals \n", "between n-th and (n+1)-th iteration solutions metric \n", "(NaN excluded): 9.1E-17 (eps = 1.0E-08). Iterations: 5 \n", "\n" ] }, { "data": { "text/plain": [ "array([0.15])" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Vanilla_Call.implied_volatility(iv_estimated=0.1, target_price=c_star)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }