{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "dbquM9exwlpe", "pycharm": {} }, "source": [ "# Exothermic CSTR\n", "\n", "Keywords: Simulator, dae, differential-algebraic equations, ipopt usage\n", "\n", "```{index} Simulator\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": {}, "colab_type": "code", "id": "hb7Vi2grwp7n", "pycharm": {} }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import shutil\n", "import sys\n", "import os.path\n", "\n", "if not shutil.which(\"pyomo\"):\n", " !pip install -q pyomo\n", " assert(shutil.which(\"pyomo\"))\n", "\n", "if not (shutil.which(\"ipopt\") or os.path.isfile(\"ipopt\")):\n", " if \"google.colab\" in sys.modules:\n", " !wget -N -q \"https://ampl.com/dl/open/ipopt/ipopt-linux64.zip\"\n", " !unzip -o -q ipopt-linux64\n", " else:\n", " try:\n", " !conda install -c conda-forge ipopt \n", " except:\n", " pass\n", "\n", "assert(shutil.which(\"ipopt\") or os.path.isfile(\"ipopt\"))\n", " \n", "from pyomo.environ import *\n", "from pyomo.dae import *\n", "from pyomo.dae.simulator import Simulator" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "-QH5X8vGwlpg", "pycharm": {} }, "source": [ "## Description\n", "\n", "This example is intended as an introduction to the nonlinear dynamics of an exothermic continuous stirred-tank reactor. The example has been studied by countless researchers and students since the pioneering work of Amundson and Aris in the 1950's. The particular formulation and parameter values described below are taken from example 2.5 from Seborg, Edgar, Mellichamp and Doyle (SEMD).\n", "\n", "![Agitated_vessel.png](https://github.com/jckantor/ND-Pyomo-Cookbook/blob/master/notebooks/figures/Agitated_vessel.png?raw=1)\n", "\n", "(Diagram By Daniele Pugliesi - Own work, CC BY-SA 3.0, Link)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "EPlia2Vzwlpi", "pycharm": {} }, "source": [ "## Arrehenius law kinetics for a first-order reaction\n", "\n", "We assume the kinetics are dominated by a single first order reaction\n", "\n", "$$A \\xrightarrow{kc_A}{} \\text{Products}$$\n", "\n", "The reaction rate per unit volume is modeled as the product $kc_A$ where $c_A$ is the concentration of $A$. The rate constant $k(T)$ is a increases with temperature following the Arrehenius law\n", "\n", "$$k(t) = k_0 e^{-\\frac{E_a}{RT}}$$\n", "\n", "$E_a$ is the activation energy, $R$ is the gas constant, $T$ is absolute temperature, and $k_0$ is the pre-exponential factor. \n", "\n", "We can see the strong temperature dependence by plotting $k(T)$ versus temperature over typical operating conditions." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 294 }, "colab_type": "code", "id": "Cvcx-xpawlpj", "outputId": "5202ca43-a151-442d-eee9-97a3a8322f72", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Ea = 72750 # activation energy J/gmol\n", "R = 8.314 # gas constant J/gmol/K\n", "k0 = 7.2e10 # Arrhenius rate constant 1/min\n", "\n", "T = np.linspace(290,400)\n", "\n", "# Arrhenius rate expression\n", "def k(T):\n", " return k0*np.exp(-Ea/R/T)\n", "\n", "plt.semilogy(T,k(T))\n", "plt.xlabel('Absolute Temperature [K]')\n", "plt.ylabel('Rate Constant [1/min]')\n", "plt.title('Arrenhius Rate Constant')\n", "plt.grid(True)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "iSMkNtH-wlpp", "pycharm": {} }, "source": [ "This graph shows the reaction rate changes by three orders of magnitude over the range of possible operating temperatures. Because an exothermic reaction releases heat faster at higher temperatures, there is a positive feedback that can potentially result in unstable process behavior." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "ot9r5YCdwlpr", "pycharm": {} }, "source": [ "## Modeling and parameter values" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "ot9r5YCdwlpr", "pycharm": {} }, "source": [ "### Mathematical model\n", "\n", "The model consists of mole and energy balances on the contents of the well-mixed reactor.\n", "\n", "$$\n", "\\begin{align*}\n", "V\\frac{dc_A}{dt} & = q(c_{Ai}-c_A)-Vkc_A \\\\\n", "V\\rho C_p\\frac{dT}{dt} & = wC_p(T_i-T) + (-\\Delta H_R)Vkc_A + UA(T_c-T)\n", "\\end{align*}\n", "$$\n", "\n", "which are the equations that will be integrated below.\n", "\n", "|Quantity | Symbol | Value | Units | Comments |\n", "|:-------|:----:|:---:|:----|:--- |\n", "|Activation Energy | $E_a$ | 72,750 | J/gmol | |\n", "|Arrehnius pre-exponential | $k_0$ | 7.2 x 1010 | 1/min | |\n", "|Gas Constant | $R$ | 8.314 | J/gmol/K | |\n", "|Reactor Volume | $V$ | 100 | liters | |\n", "|Density | $\\rho$ | 1000 | g/liter | |\n", "|Heat Capacity | $C_p$ | 0.239 | J/g/K | |\n", "|Enthalpy of Reaction | $\\Delta H_r$ | -50,000 | J/gmol | |\n", "|Heat Transfer Coefficient | $UA$ | 50,000 | J/min/K | |\n", "|Feed flowrate | $q$ | 100 | liters/min | |\n", "|Feed concentration | $c_{A,f}$ | 1.0 | gmol/liter | |\n", "|Feed temperature | $T_f$ | 350 | K | |\n", "|Initial concentration | $c_{A,0}$ | 0.5 | gmol/liter | |\n", "|Initial temperature | $T_0$ | 350 | K | |\n", "|Coolant temperature | $T_c$ | 300 | K | Primary Manipulated Variable |\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "VahvcJlrwlpr", "pycharm": {} }, "source": [ "### Pyomo model" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": {}, "colab_type": "code", "id": "ToQCPVwuwlps", "pycharm": {} }, "outputs": [], "source": [ "Ea = 72750 # activation energy J/gmol\n", "R = 8.314 # gas constant J/gmol/K\n", "k0 = 7.2e10 # Arrhenius rate constant 1/min\n", "V = 100.0 # Volume [L]\n", "rho = 1000.0 # Density [g/L]\n", "Cp = 0.239 # Heat capacity [J/g/K]\n", "dHr = -5.0e4 # Enthalpy of reaction [J/mol]\n", "UA = 5.0e4 # Heat transfer [J/min/K]\n", "q = 100.0 # Flowrate [L/min]\n", "cAi = 1.0 # Inlet feed concentration [mol/L]\n", "Ti = 350.0 # Inlet feed temperature [K]\n", "cA0 = 0.5 # Initial concentration [mol/L]\n", "T0 = 350.0 # Initial temperature [K]\n", "Tc = 300.0 # Coolant temperature [K]\n", "\n", "def cstr(cA0 = 0.5, T0 = 350.0):\n", " m = ConcreteModel()\n", " m.t = ContinuousSet(bounds=(0.0, 10.0))\n", " m.cA = Var(m.t)\n", " m.T = Var(m.t)\n", " m.dcA = DerivativeVar(m.cA)\n", " m.dT = DerivativeVar(m.T)\n", "\n", " # Setting the initial conditions\n", " m.cA[0.0].fix(cA0)\n", " m.T[0.0].fix(T0)\n", " \n", " def k(T):\n", " return k0*exp(-Ea/R/T)\n", " \n", " @m.Constraint(m.t)\n", " def ode1(m, t):\n", " return V*m.dcA[t] == q*(cAi - m.cA[t]) - V*k(m.T[t])*m.cA[t]\n", " \n", " @m.Constraint(m.t)\n", " def ode2(m, t):\n", " return V*rho*Cp*m.dT[t] == q*rho*Cp*(Ti - m.T[t]) + (-dHr)*V*k(m.T[t])*m.cA[t] + UA*(Tc - m.T[t])\n", "\n", " return m" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "s_lnKUnIwlpu", "pycharm": {} }, "source": [ "## Simulation and visualization" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "s_lnKUnIwlpu", "pycharm": {} }, "source": [ "### Visualization function" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": {}, "colab_type": "code", "id": "qbSrCuQKwlpv", "pycharm": {} }, "outputs": [], "source": [ "# visualization function plots concentration and temperature\n", "def cstr_plot(t, y, ax=[]):\n", " if len(ax) == 0:\n", " fig = plt.figure(figsize=(12, 8))\n", "\n", " ax1 = plt.subplot(2, 2, 1)\n", " ax1.set_xlabel('Time [min]')\n", " ax1.set_ylabel('Concentration [gmol/liter]')\n", " ax1.set_title('Concentration')\n", " ax1.set_ylim(0, 1)\n", " ax1.grid(True)\n", " \n", " ax2 = plt.subplot(2, 2, 2);\n", " ax2.set_xlabel('Time [min]')\n", " ax2.set_ylabel('Temperature [K]');\n", " ax2.set_title('Temperature')\n", " ax2.set_ylim(300, 450)\n", " ax2.grid(True)\n", " \n", " ax3 = plt.subplot(2, 2, 3);\n", " ax3.set_xlabel('Concentration [gmol/liter]')\n", " ax3.set_ylabel('Temperature [K]');\n", " ax3.set_xlim(0, 1)\n", " ax3.set_ylim(300, 450)\n", " ax3.grid(True)\n", " \n", " else:\n", " ax1, ax2, ax3 = ax\n", " \n", " ax1.plot(t, y[:, 0], label=str(Tc))\n", " ax1.legend()\n", " ax2.plot(t, y[:, 1], label=str(Tc))\n", " ax2.legend()\n", " ax3.plot(y[0, 0], y[0, 1], 'r.', ms=20)\n", " ax3.plot(y[:, 0], y[:, 1], lw=2, label=str(Tc))\n", " ax3.legend()\n", " return [ax1, ax2, ax3]" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "gfDQl764wlpx", "pycharm": {} }, "source": [ "### Simulation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 512 }, "colab_type": "code", "id": "Sg6r2zQwwlpy", "outputId": "33af3e27-e767-4a93-fb0a-3051aa6d9516", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Tc = 300\n", "tsim, profiles = Simulator(cstr(), package='scipy').simulate(numpoints=100)\n", "cstr_plot(tsim, profiles);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "uoOCK72ywlp1", "pycharm": {} }, "source": [ "## Effect of cooling temperature\n", "\n", "The primary means of controlling the reactoris through temperature of the cooling water jacket. The next calculations explore the effect of plus or minus change of 5 K in cooling water temperature on reactor behavior. These simulations reproduce the behavior shown in Example 2.5 SEMD." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 512 }, "colab_type": "code", "id": "b-6v_D1dwlp2", "outputId": "1956ac36-daa6-4e22-b305-4c6616792b31", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = []\n", "for Tc in [290, 300, 305]:\n", " tsim, profiles = Simulator(cstr(), package='scipy').simulate(numpoints=100)\n", " ax = cstr_plot(tsim, profiles, ax)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "cellView": "form", "colab": { "base_uri": "https://localhost:8080/", "height": 512 }, "colab_type": "code", "id": "6X3iOrQ5wlp5", "outputId": "e41d537c-7e59-424e-9217-e61157f15eb9", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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rt4TaGON1MTEx5ObmNskGWlXZt28fMTEx/g6lySqtqKJ320TAZvowxhXWZrvfZtssH8YYr0tPT2fJkiUUFIRmMlNSUnLExjcmJob09HQfRmRqKimvpF3zWBJjIiyhNsYF1ma732ZbQm2M8brIyEgKCgoYMmSIv0PxiszMTLdW1DK+VVpRRUxEOF1T4y2hNsYF1ma7z0o+jDHGhLTSiiqiI8PomhpvNdTGGK+whNoYY0zIqqisorJKiXb2UO8tKCOnqMzfYRljQowl1MYYY0JW9RzUMc4earCBicYYz7OE2hhjTMiqTqijI8Lp2ioBsITaND33fLqMP01e7O8wQpoNSjTGGBOyqpcdj44Io13zWKIjwiyh9pNb319EeFgYT13Q39+hNDlLs3NtUSMvs4TaGGNMyKpeJTE6MozwMKFzq3jW28BEv1i2LZeiskp/h9Ek5RSXsbeglAOFZTSPi/J3OCHJSj6MMcaErJKDPdThAHRPi2fdLkuo/WF/YRk7ckvIKyn3dyhNTk6R43u+zu7OeI0l1MYYY0LWwR7qCMefu+5pCWzLKSbfkjqfqqis4kB1UmcfaHyqorKK/JIKANbtzvdzNKHLEmpjjDEhq+agRIAeaY6BidZT51vVyTTAul2W1PlSbnHN7739v/cWS6iNMcaErIODEiN/7aEGWLvTkjpf2ldYevDrtZbU+VROjYR6rX2Y8RpLqI0xxoSs6pKPGGcPdXrzWGIjw1ljiYVP7S9wLKYTJpbU+Vp1/XRqQrTdmfEilxJqEVnqwuPbes4xXkTWiMh6EbmrjteTRORzEVkiIitE5OqGXpQxxpiGEZFwEVkkIl84n/9DRFY72/lPRSS5xr6TnG36GhE52W9BH8HBkg9nD3VYmNA9Ld6SOh/bW+hIqPu2S7LvvY9Vrww6tFML9uSX2kqhXuJqD3U4cMYRHmcCrQ53sIiEA88DpwC9gItFpFet3W4CVqpqf2AM8JSI2NwuxhjjW7cAq2o8nwH0UdV+wFpgEoCzDb8I6A2MB15wtvUBpeY81NW6pSVY2YGP7S9wlHyM6NyS3fml5BbZoFBfqe6hHpbRArDxA97iakJ9g6puPsIjC/j9EY4fBqxX1Y2qWga8D0yotY8CCSIiQDywH6hw73KMMcY0lIikA6cBr1RvU9WvVbW6LZ4DpDu/ngC8r6qlqroJWI+jrQ8otQclgmNg4p78UvYXWk+dr+wrLCNMYKgzqVtrs034THUN9ZCM5oCV3HiLSwu7qOpMZ8/Dm6p62eH2OcIp2gFbazzPBobX2uc5YCqwHUgALlTVqtonEpGJwESAtLQ0MjMzXbmEQxQUFDTouGAQytcGoX19oXxtENrXF0LX9jRwB442uC7XAB84v26HI8Gulu3c9huNbbcb8/1dnuVIJubPnU18lABQssfx+WDyVz/Rs4X/O9VD6P/Pb1Rf27J1pcRHQs7mFQB88eMCCrMi/Rxd4wTLz23JujIE2LVmITHh8P2C1bQr3lTvccFyfQ3hjWtzeaVEVa0UkVYiEuXsZXaH1HXKWs9PBhYDJwBdgBki8pOq5tWK4yXgJYAhQ4bomDFj3AwFMjMzachxwSCUrw1C+/pC+dogtK8vFK5NRE4HdqvqAhEZU8fr9+C4a/hu9aY6TlO7XXdsbGS73Zjv7+ofNsDq1Zww5hiaRTn+5PXMLeGpBd8S16YLY0ZmNOi8nhQK/38Op/ra3ts6n9ZlhZw7/ljum/0VJLVhzJg+/g6vUYLl5/ZtznKSdmznhOOPp8fKnymOCmfMmBH1Hhcs19cQ3rg2d5cezwJ+FpGpQGH1RlX9Zz3HZQPtazxPx9ETXdPVwGOqqsB6EdkE9ATmuRmjMcYY940CzhSRU4EYIFFE3lHVy0TkSuB0YKyzjQbX2nW/q57lIyr81wrHtMRoEmIibKYPH9pfWEbLuGhEhK5Ww+5TOcXlNG/mGJLWLTWeH9bu8XNEocndafO2A184j0uo8ajPL0A3EenkHGh4EY7yjpq2AGMBRCQN6AFsdDM+Y4wxDaCqk1Q1XVUzcLTR3zmT6fHAncCZqlpU45CpwEUiEi0inYBuBGAHSGlFJRFhQkSNhFpE6JGWwNqdltT5yr6CMlrEO5K67qnxtmKfD+UUlZEU6yiv6Z4WbzN9eIlbPdSq+gCAiMSpamF9+9c4rkJEbga+wjFjyGuqukJEbnS+/iLwEPCGiCzDcSvxTlXd6058xhhjPO45IBpHGR7AHFW90dmGTwZW4igFuUlVK/0YZ51KK6qIifxtnXT31gn8b+kOVBXndRkv2ldYRss4Z0KdlsCHC7LZX1hGizibzMvbcovLD36fu6X+ulJo9QBR4xluJdQiMhJ4FccsHB1EpD+OGUCONMMHAKo6DZhWa9uLNb7eDpzkTjzGGGM8T1UzgUzn112PsN8jwCO+iaphSisqD5kyr1r31Hj+r7icPfmlpCbG+CGypqO8sorc4nJaxkUD0C0tHnDMNjGic0t/htYk5BSV0zklDjj0e28JtWe5W/LxNI7Bg/sAVHUJcKyHYzLGGGM8orS8qu6EurWjp87qqL3vgHN6wuqSjx7O771N3+YbB4rKSHbWULdLjiUuKpw1O+1772luLz2uqltrbQq4W3zGGGMMOEo+ouso+eiR5kyoLbHwur3OZcdTnGUHrRNjSIqNZOX2vCMdZjygorKK/JIKkps5aqhFhD7tkliSnevnyEKPuwn1VhE5GlARiRKR2zl0RS1jjDEmYJSU113y0TI+mrTEaJZts8TC26oX0Kmu4xUR+qUnsXhrjh+jahryShxzrifH/jrn94AOyazanndwFVHjGe4m1DfiWCK8HY4pkwZw5BUSjTHGGL8prai75ANgYPvmltT5wL5Cx7LjLeOjD24b2D6ZtbvyKSy1BZG9qXo2j+qSD4AB6cmUVVaxaofdnfEkdxPqHqp6qaqmqWqqc9XEo7wRmDHGGNNYjkGJda+GOKBDMpv3FbGvoNTHUTUt+5wlHy1rzOgxoEMyVYrdIfCyA0WOlUKTmv3aQ92/fTIAS+zDpEe5m1A/6+I2Y4wxxu8cNdSH66FOBmBJdo7vAmqC9hWWEh4mB+dCBuifngxgdwi8LLfY8WGmeY0e6jZJMbRKiLaE2sNcmjbPOV3e0UArEflTjZcSccwrbYwxxgSc0vIqWsbV/Weqb3oS4WHCoi05nNAzzceRNR37C8to3iyKsLBf5/tuGR9NhxbNWLwlx3+BNQE5zh7qmjXUIsKA9skstg+SHuVqD3UUjrmnIzh0hcQ84DzvhGaMMcY0TmlF5WF7qJtFRdAjLcF6Sb1sb0EZKfG/XcBlQPtk+9572cGEukbJBzi+9xv3FJLrfN00nks91Kr6A/CDiLyhqpu9HJMxxhjjEUcalAiOWt7PF2+nqkoP6UE1nnO4FREHtE9m6pLt7MwtoXWSLa7jDTlFZYhAQsyhCXV1yc3SbTkc062VHyILPS71UIvI084vnxORqbUf3gvPGGOMaThHQn34ysSB7ZPJL61g494CH0bVtOwrKD1kho9qAzokA1ZH7U05xeUkxUYSXuvDYt/0JMAGJnqSq0uPv+3890lvBWKMMcZ42uHmoa420JnULdqSQ9fUBB9F1bTsKyw7ZIaPar3aJBIZLizemsP4Pq39EFnoyykqP6R+ulpSbCRdWsXZhxkPcrXkY4Hz3x+8G44xxhjjOUea5QOgc0o8CTERLNqaw/lD2vswsqahvErJL6moM6GOiQynV5tEFm894IfImoac4nKSmv32ew+O6fN+XLsXVUXEyp0ay9VZPpYBerjXVbWfxyIyxhhjPEBVKaun5CMszDnjgc024RUFZY7UoUUdgxLBkdR9vCCbyir9TVmCabycorJDpsyraUD7ZD5ZuI3tuSW0S471cWShx9WSj9O9GoUxxhjjYaUVVQBHLPkARx31c9+vp6isgmZRrv5ZNK7IcybULeN+W0MNjqTurdmbWbc7n56tE30ZWpOQU1RO55S4Ol+rHpi4cPMBS6g9wNVp814CzgFiVXVz7YcX4zPGGGMaxNWEunrVviVbbdU+T8uvTqgP00M9uGNzAH7JsrIPb8gpKjtk2fGaerdNJD46gtkb9/k4qtDk6kfxK4HxwP0i0h2YC0wHvlVVGxptjDF+JiL/dmG3PFW91+vBBIjSikrAUat7JIM7tiBMYPaGvYzs0tIXoTUZeY6F+uqsoQbo0KIZ7ZJj+XndXi4f0dGHkYW+yiolr6TikBUqa4oID2NE5xb8vH6vjyMLTS71UKvqTlV9Q1UvAoYAbwGDga9E5BsRucObQRpjjKnXBGBBPY9z/RadH5SWu9ZDnRQbSb/0ZH6yxMLj8usp+RARRndNYdaGvVRWHXaolmmAvOK6F3Wp6eguKWzeV8TW/UW+CitkuV0spqpVwGzn428ikgKc7OnAjDHGuOVfqvrmkXYQkeb1nUREwoH5wDZVPV1EWgAfABlAFnCBqh5w7jsJuBaoBP6oql816go8rLqHOrqeHmqAY7ql8Pz368l1zttrPCOvVIkIExJjD59ujOqWwgfzt7JsWy4D2if7LrgQd6DIcXvgcIMSAUZ3SwFg1oa9XNiig0/iClWuLuzyrIj8u64H8DdVfdfLcRpjjDmyjw73goicAaCqT7twnluAVTWe34WjvK8b8K3zOSLSC7gI6I2jJPAFZzIeMEpc7KEGGN01hSqF2RusntSTCsuV5GZRR5yWbZSzzMZKDzwrx9lDnXSEHupuqfG0Sojm5/X2/76xXB2UOJ8j30Y0xhjjX9+KSEbtjSJyDfC0KycQkXTgNOCVGpsnANU9328CZ9XY/r6qlqrqJmA9MKwhgXuLq4MSAQZ2aE6zqHBmrt/j7bCalKIKPWLvNEDL+Gh6tUlk5jpLqD0pt8hZ8nGEOy4iwqguLfl5/V6qrOSmUVxd2OWQ24gikuDYbAMSjTEmQNwGzBCRU1V1HRwsybgEOM7FczwN3AHUXDIwTVV3AKjqDhFJdW5vB8ypsV+2c1vAOFjycYR5qKtFRYQxonNLS+o8rLBcSYqrv4RmdLcU3vg5i+KySmKjAupGR9DKKXaUfBxulo9qo7qmMGXxdtbsyueoNjZ1YUO5VUMtIn1wLEPewvFU9gBXqOoKbwRnjDHGNao6TURKgS9F5CzgOmAocGx1zfORiMjpwG5VXSAiY1x4y7ru4dfZxSUiE4GJAGlpaWRmZrpw+l8VFBS4fQzA0j0VAKxYtpjSrfUnaa0p57t9ZXw47TtaNXP1Bm7jNfT6gkF+aSVJkl/v9SUWVVBWWcUrn31P31bBMRd4oP/cfsly9FCvWDiPzVGHL7kJK3bcyXnrq7mcnPHrh59Av77G8Ma1ufu/9iXgT6r6PYCz0X0ZONqjURljjHGbqn4rIlcBmcAsYKyqlrh4+CjgTBE5FYgBEkXkHWCXiLRx9k63AXY7988Gaq7VnQ5sP0xcL+H4+8GQIUN0zJgxbl1XZmYm7h4DULJ8JyxYwMhhQ+jdNqne/dvtyuf/Vv9IRUpXxgzz3QCthl5fMCj9cRqd2qUxZszAI+43vKySfy/6mvy4dowZc5SPomucQP+5LZyxFlmzjlNOHFPvKpTPr8hkpzZjzJhfq7YC/foawxvX5u5H8LjqZBpAVTOBupfgMcYY4zMiki8iecCXQCIwFthdY/sRqeokVU1X1Qwcgw2/U9XLgKk41iLA+e9nzq+nAheJSLSIdAK6AfM8elGN5Oo81NW6psaTlhhtZR8eVFhefw01QGxUOIM7Nucn+957TG5RGQnRES4t6T6qawpzN+2nvLLKB5GFJncT6o0i8lcRyXA+7gU2eSMwY4wxrlPVBFVNdP4bpapxNZ43pjDyMWCciKwDxjmf4yz1mwysxLHQ102qWtnY6/AkdwYlQvWcyK342eZE9ghVpagCl6chHN0thVU78tid7+pNFXMkOcXlND/Mgjq1je6WQlFZJfM27fdyVKHL3YT6GqAV8AnwqfPrqz0dlDHGGP9R1UxVPd359T5VHauq3Zz/7q+x3yOq2kVVe6jql/6LuG6l5a4PSqx2XI9W5BSVs2iLLYXdWIVllVQpJMa4llCPPcox3nXGyl3eDKvJOFBUfsQZPmo6tlsrYiPDmb58p5ejCl1uJdSqekBV/6iqg1R1oKre4spgF2OMMd4lIgs9sU8oOdhDHen6n7rje7QiKiKMacsssWis6pX6XO2h7pGWQKeUOEvqPCS3qKzeGT6qxUaFM6ZHK75asdOmz2sgtxJqERkiIp+IyEIRWVr98FZwxhhjXHZUzXa5jscyIMXfQfqSuyUfAAkxkRzbrRVfLt9hiUUj5ToT6kQXE2oR4ZQ+rZm1YR8HCsu8GVqTkFNcfsRlx2sb36c1u/NLWbTV+kkbwt1ZPt4F/gIsA6xy3RhjAkdPF/YJqBpnb6su+YgKd6+68dS+rflm1S4WZ+cwqEO9q7Wbw3C3hxrglD5teCFzAzNW7eKCIe3rP8AcVo4bJR8AJ/RMJSo8jC+X7WRwxxZejCw0uVtDvUdVp6rqJlXdXP3wSmTGGGNcVrNNPsIj299x+lJpRRXREWFHXPa6LmOPSiMyXPhy2Q4vRdY0HOyhdrGGGqBPu0TSm8da2UcjVVYpeSXlJLlY8gGOuzOjurZk+oqdqNrdGXe5m1DfJyKviMjFInJO9cOVA0VkvIisEZH1InLXYfYZIyKLRWSFiPzgZmzGGGPMQdUJtbuSYiM5plsrpi2zxKIx8kocC+u400NdXfbx07o95JWUeyu0kJdXXI4qNHej5AMcdwiyDxSzYnu9M22aWtxtaa4GBgDjgTOcj9PrO0hEwoHngVOAXsDFItKr1j7JwAvAmaraGzjfzdiMMcaYg0orKl2eg7q2U/q0ZltOMcu25Xo4qqbj1xpq96pLx/dpQ3ml8t2q3fXvbOqU4/zeu1NDDXBirzTCw8TuEDSAuwl1f1UdoqpXqurVzsc1Lhw3DFivqhtVtQx4H5hQa59LgE9UdQuAqtpvkjHGNICIdBSRE51fx4pIgr9j8ofS8iq3ZvioaVyvNCLCxGb7aITqGuoEN0o+AAa2T6Z1YgxfLreSm4bKKXIM6kyOdb3kA6BFXBTDO7Vg2vIddnfGTe62NHNq9yy7qB2wtcbzbOe2mroDzUUkU0QWiMgVDXgfY4xp0kTkeuAj4L/OTenAFL8F5EclFZVuzUFdU3KzKI7umsL/lm232T4aKLe4nNgIXFqpr6awMOGUvq35fs0ecous7KMhcpzftyQ3e6gBzujflo17CtmYa3NPuMPdWT5GA1eKyCagFBBAVbVfPcfV9dtUu4WKAAbjWC43FpgtInNUde0hJxKZCEwESEtLIzMz081LgIKCggYdFwxC+dogtK8vlK8NQvv6AuzabsJxV3AugKquE5FU/4bkH6XlDauhrnbOwHbc+sFi5mzcx9Fdm9SMgx6RV1JOswj3kulq5w9uz+s/ZzFl8TauPDrDs4E1ATnFjh7q5m4MSqx2er82PPj5Sn7MruBaTwcWwtxNqMc38H2ygZrz36QD2+vYZ6+qFgKFIvIj0B84JKFW1ZeAlwCGDBmiY8aMcTuYzMxMGnJcMAjla4PQvr5QvjYI7esLsGsrVdWy6pktRCSC33ZgNAkNHZRYbXyf1iRNjeS9X7ZaQt0AecXlxEU2LKHu1TaRfulJvDdvC1eM7Oj2TC1NXXUPtTvT5lVLiInktH5t+GJxNoWlFcRFu5sqNk3utjT5dTxqJ8Z1+QXoJiKdRCQKuAiYWmufz4BjRCRCRJoBw4FVbsZnjDFN3Q8icjcQKyLjgA+Bz/0ck1+UNqLkAyAmMpyzB7bjq+U72W8Ljbgtr7iCBlQcHHTBkPas3plvA0MboDqhdnVRndouHNqekkr4n00d6TJ3E+qFwB4cvcbrnF9vcq6cOPhwB6lqBXAz8BWOJHmyqq4QkRtF5EbnPquA6cBSYB7wiqoud/eCjDGmibsTR9u8DLgBmAbc69eI/KS0ouGDEqtdNKw9ZZVVfLKwSU3h7RG5jeihBjhzQFtiIsN4/5et9e9sDpFTVEZiTITb9evVhnRsTus4YbJ9713mbkszHThVVVNUtSWOafAmA7/HMeXdYanqNFXtrqpdVPUR57YXVfXFGvv8Q1V7qWofVX3azdiMMaZJE5EwYJmqvqyq56vqec6vm2bJRyNrqAF6tk5kQPtk3v9lq8164KbG1FCDY0GY0/q2Zeri7RSWVngwstCXU1xO8zj366eriQjHpkcwf/MB1u8u8GBkocvdlmaIqn5V/URVvwaOVdU5QLRHIzPGGOMWVa0ClohIB3/HEggaMw91TRcPa8/63QUs2HzAA1E1HbnF5Y0q+QDHHYKC0gorPXCTu8uO12VU20giwoTJ862X2hXuJtT7ReRO5xynHUXkDuCAc+EWm1/FGGP8rw2wQkS+FZGp1Q9/B+UPjR2UWO30fm2Jiwrn/+Zu8UBUTUN5ZRVFZZWN6qEGR+lBl1ZxvDNns90hcENOsXvLjtclKVoY1yuND37ZancIXOBuS3MJv85pOgXHzB2XAOHABZ4MzBhjTIM8gGMF2weBp2o8mpyS8sYNSqwWFx3B+UPa8/nS7ezILfZAZKGvelGXxtRQg6P04JrRnViancucjfs9EVqTkFNU1ugeaoDrjulMbnG59VK7wK2EWlX3quofVHWg8/EHVd2jqmWqut5bQRpjjHGNqv5Q18PfcfmDp3qoAa4d3YkqhVd/2uSR84W66mXHmzUyoQY4d1A6KfFR/PfHDY0+V1ORU1RO88bW2wCDOzZnSMfmvDpzExWVVohwJC61NCJyvyf2McYY410iki8iec5HiYhUikieC8fFiMg8EVkiIitE5AHn9gEiMkdEFovIfBEZVuOYSSKyXkTWiMjJ3ryuhvDELB/V2rdoxhn92vDevC22ep8L8kocJQLNPDCFcUxkOFcdnUHmmj2s2lHvf+Umr7JKyStpfMlHtYnHdib7QDFfLt/pkfOFKlf/q19XT4MsOOaWvr/RERljjGkwVU2o+VxEzsKxcmJ9SoETVLVARCKBmSLyJY7SkQdU9UsRORV4AhgjIr1wtPu9gbbANyLSXVUrPXg5DVZRWUVllXqk5KPaxGO7MGXxdt6Zu5mbju/qsfOGolwPlXxUu2xER17I3MDLP27knxcO8Mg5Q1V+STmqDVvUpS4nHpVG51ZxvPTjRk7v18YW2TkMVz+6vwwkHOER79zHGGNMAFHVKcAJLuynqlo9P1ak86HOR6JzexK/LuY1AXhfVUtVdROwHtcSd58orXDcnvZUyQc4Vu87rnsrXv95EyXlAfG5IWDlebDkAyC5WRQXDe3A1CXb2Z5jdexHcqB6lUQPlHwAhIUJ1x/TmWXbcpm9cZ9HzhmKXOqhVtUHvB2IMcaYxhORc2o8DQOG4OLS484ZmxYAXYHnVXWuiNwKfCUiTzrPd7Rz93bAnBqHZzu3BQRvJNQANx7XhYtfnsPk+Vu5YmSGR88dSg7WUHtw1eprj+nEW7OzePGHDTw4oY/nThxicoocq3o291DJB8DZA9vxzxlreXrGOkZ2bmm91HWwBdqNMSa0nFHj6wogC0dvcr2c5RoDRCQZ+FRE+gATgdtU9WMRuQB4FTgRR6nfb05R13lFZKLzPKSlpZGZmenShVQrKChw+5j9JY6EOmvjejLLN7t17JGoKt2bh/HklytJLdxETCOnhYOGXV+gW7zRkdRpaZFHr+2YduG8O2czfSJ3k9rMsx+W3BWoP7elexz16xtWL0N2Nrzkqfb1jW+vvL1yP89+9C39WgV3+uiNn11wf0eMMcbU9oqq/lxzg4iMAna7egJVzRGRTGA8cCVwi/OlD4FXnF9n45g6tVo6v5aD1D7fS8BLAEOGDNExY8a4GgoAmZmZuHvMpr2FkJlJ/z5HMWZgulvH1iex8wHO/c8s1ko6fxzTrdHna8j1BbrZxauI2pBF88QYj15br0ElHPePTGbmNuffpw702HkbIlB/bjmLtsGCxZwwajidW8U3+Dy1r29UZRU//vMHvtwewc3njiasgcuaBwJv/Oz8+/HOGGOMpz3r4rZDiEgrZ880IhKLoxd6NY4k+TjnbicA65xfTwUuEpFoEekEdAPmNS50zymtcNQ4e3JQYrXBHZszvndr/vvDBvYWlHr8/KEgr7iCxNhIj5cGpCbGcO3oTkxdsp3l23I9eu5QccBZ8pHswZIPgMjwMP40rjurduTx+dI6Pzs3aW71UItIK+B6IKPmsap6jWfDMsYY4w4RGYmjvrmViPypxkuJOBbfqk8b4E1nHXUYMFlVvxCRHOAZEYkASnCWbqjqChGZDKzEUVpyU6DM8AFQWu6dGupqfxnfgxmrdvHcd+u5/8zeXnmPYJZXXE5irHdugk88rjPvzt3M49NX8/a1w73yHsEsxzkoMclDs3zUdEa/tvz3h4089fVaTunThigv/X4FI3e/E5/hGOX9DfC/Gg9jjDH+FYVjxqUIDp2FKQ84r76DVXWpc8GufqraR1UfdG6fqaqDVbW/qg5X1QU1jnlEVbuoag9V/dIrV9VAvw5K9HwPNUCXVvFcOLQ9787d7CgvMYfIKyn3SkIHkBgTyU3Hd+WndXv5Ye0er7xHMMstLicxJoJwL5RkhIUJd4zvwZb9Rbw5K8vj5w9m7ibUzVT1TlWdrKofVz+8EpmXlFZUourSgHdjjAkazhURHwBGqOoDNR7/VNV19Z4gxBws+fDQwi51uXVsN2IiwvnbZ8vt70otucXeS6gBLh/Zkc4pcfzts+U2hWEtOUVlHi/3qOm47q0Y2zOVf32z1qYwrMHdluYL58T+QevRaau54Zsixv3zB6554xf++8MG8kps1StjTMgoEpF/iMg0Efmu+uHvoHzN2yUf4Kjn/cv4Hvy0bi9Tl1hNaU15xeUkxngvoY6OCOfhs/qweV8Rz3+/3mvvE4wOFJV7bA7quogI95/ZmypVHvh8hdfeJ9i429LcgiOpLnEub5vvypK2geSYbikcnx5Bp5Q4th0o5tEvVzPq0e94fPpqW07WGBMK3sUxmLAT8ACOafN+8WdA/uDtko9qlw7vSP/0JB76YqX9DanB2z3UAEd3TeHsge148YcNrN9dUP8BTUROcblXe6gB2rdoxh/HduOrFbv4dtUur75XsHAroVbVBFUNU9UY59cJqppY/5GBY+xRaVx8VDQvXTGEr247ls9vHs2x3Vvx4g8buOjlORwoLPN3iMYY0xgtVfVVoNxZBnINMMLfQfnar7N8eHfQVHiY8MjZfdlfWMZj01d79b2ChaqSV1LhtUGJNd196lHERoZz75RlVnbjlFtU5rFlx4/kutGd6ZYaz98+W0FhaYXX3y/Qud3SiMiZIvKk83G6N4Lypb7pSTx/6SDeumYYG/YUcOkrcy2pNsYEs+pu0h0icpqIDMQxR3STsivPMZ1d8zjv9tQB9GmXxDWjOvHevC38tM4GyRWWVVJZpV7voQZolRDNpFOPYs7G/TZIzsnRQ+39731URBh/P6cv23OLefh/q7z+foHOrYRaRB7DUfax0vm4xbkt6B3TrRUvXzGE9XsKuOzVuVZXbYwJVg+LSBLwZ+B2HAux3ObfkHxvzc482iTF+CSpA/jzST3omhrPnycvafKdMnnOZce9WUNd00VD23N8j1Y8+uVq1u7K98l7BqrKKiW3uNwnPdQAQzNacMOxXXhv3hZmrGzapR/u9lCfCoxT1ddU9TUcq2gF9SDFmo7r3or/Xj6YFdvzeOXHjf4Oxxhj3OKcQ7qbquaq6nJVPd455d1Uf8fma2t2FdCjdYLP3i82KpxnLhrAgaIy7vpkaZMuP8gt9t48yHUREZ44rz/x0RHc8v7ig+U+TVF+STmqnl/U5Uj+NK47vdokcufHS9mdX+Kz9w00DSkuS67xdZKH4ggYx/dIZXzv1rw+K8t6qY0xQcW5sMqZ/o7D38orq9iwu4Aeab5LqAF6t03ijpN78tWKXbz/y1afvncgOdhD7aOEGhylH0+c149VO/J48qs1PnvfQFO9qIsvSj6qRUWE8cxFAygsreCOj5ZSVdU0P0y6m1A/CiwSkTdE5E1gAfB3z4flXzef0JX8kgre/DnL36EYY4y7ZonIcyJyjIgMqn74Oyhf2ryvkLLKKp/2UFe7dnQnRndN4f6pK5rs0ti+7qGuNvaoNC4f0ZGXf9rEl8t2+PS9A0VOse8TaoBuaQnce9pRZK7Zw7+/a3LT3gNuLj2uqu+JSCYwFBDgTlXd6Y3A/KlPuyTG9kzl1Z83cfXoTsRHe3+kcqirrFJ+ydrPwi0H2JVbwq68UppFh9M/PZn+7ZPp2y7JK6s6GceI+yXZuczP2s+2nGK25xQTFRFOrzaJ9GqbyPBOLYiJ9O7UYsanjnb++2CNbQqc4IdY/GL1TkcdbXcf91CDYyW5py8awJnPzuSGtxfw2c2jSImP9nkc/rT1gGOxj1YJ0ez18Xvfe/pRLN+ey58/XELnVvF++VDlTweKHPX7SbG+K/modtmIjizamsPT36yjb7skxh6V5vMY/MmlTFFEeqrq6hq9HNnOf9uKSFtVXeid8PznD2O7cdbzP/POnM3ceFwXf4cTtNbuyufNWVl8tWInewscv+gJMRGkJcaQU1TOJwu3AdA/PYmnLuhP19Sm1fh5U/aBIt6es5kvluxgm3M1q7iocNomx1JUVsnnzoUoOrZsxmPn9GNkl5b+DNd4iKoe7+8Y/G3tznzCBLqmxvvl/VPio/nv5UM478VZ3PTuQt65bjiR4d6dvi+Q/LJpP+1bxJKWGIOv536IjgjnxcsGc/qzM5n49nym3jSaJB/31vrTBud83O2SY33+3iLC38/uy9pd+dz6/mI+u3kUnVv553fQH1ztev0TMBF4qo7XQrLnY0D7ZI7plsLLP27k6lEZXl8cINSs353P09+s43/LdhATEc4JR6Vyap82HNM95eDIb1VlR24JP63bw2NfrubUf8/kjpN7cM2oToRZb3WD7cwt4fnv1/P+L1tQhdHdUrhtXHeO79GKFnFRiDi+t7lF5czdtI9Hpq3i4pfncPGwDvzt9F7ERtn/9WAmImk4SvHaquopItILGOmcm7pJWL0zn4yUOL/eeembnsRj5/bltg+WcN/UFTxyVp+Dv3uhTFWZl7Wf43uk+i2GtMQYXrxsEBe9NIeb/m8hr101lCgvz0ceKOZs3EdGy2a0Torxy/vHRDo+0Jz53M9c++Z8PrpxJC2byB0alxJqVZ3o/PIUVT1kCKeI+Oen5gOXDOvA795dyKod+Qxon+zvcIJCcVkl//pmLa/8tJHYyHB+d1wXrj+mc51zwYoIbZNjuXBoB47vmcrdnyzn4f+toqJK7a5AA1RWKa/N3MRTM9ZQUalcMLQ9Nx/flbaH6alIahbJSb1bc0y3Vvzrm7W8/JNjZptHz+nry7CN570BvA7c43y+FvgAaDIJ9dpd+fRq6/81x84emM6anQW8+MMG0hJiuOXEbv4Oyes27Clgf2EZwzu18Gscgzu24NFz+nH7h0u4/cMlPH3hgJDvqKmsUuZu2s/p/dr4NY705s14+YrBXPLyXK55cz7vXT+cZlGhXzrr7ke2WS5uCwn9nUn0suwcv8YRLOZs3Mf4Z37kpR83cuHQDvx05wncMb6nSwsrpCbE8PIVgzm5dxr/nLHWlpF107pd+Zz7n1k8Mm0Vo7u24vvbx/D3s/seNpmuKTYqnLtPPYqJx3bmvXlb+H71bh9EHDp25BZTVB5Qo9pTVHUyUAWgqhVAk5lHrLisks37i/xSP12XO8f34NxB6fzrm7W8M2ezv8Pxurmb9gMwzM8JNcB5g9O5Y3wPpi7ZzsP/WxXyUxmu3J5HfkkFIzr7v3xvcMcWPHvxQJZl53DTuwspr6zyd0he51JCLSKtRWQwECsiA2uMHB8DNPNmgP7UJimGlPgolmY3zZHarqqqUv797ToufnkOAP93/XAePacvLdxcoUxEeOisPjSLCueOj5ZQ2USn3nHXRwuyOf3ZmWzeV8gzFw3g5SsG076F+7+WfxrXnR5pCdzx8dImvzCFq2Zt2Mvp/57J26tK/R1KTYUi0hJHOR4iMgJoMo3Yut35qOLzKfMOR0R47Ny+nNAzlb9+tvzg2IVQNW/TflITounYMjBSg98d14Wrjs7gtZ838ex36/0djlfN3ugYAjoyABJqgJN6t+bhs/ry/Zo9/HnyEipCPKl2tQ/+ZOAqHMvX/rPG9nzgbg/HFDBEhD7tkljWRKc+csWBwjJum7yYzDV7OHtgOx45u0+jbu2kJsRw3xm9uO2DJbz+8yauO6azB6MNLaUVlTzw+Ur+b+4WRnZuyb8vHkirhIbXqkVHhPPPC/tz1vM/c++U5Tx3ycAmUfPZEKrKyz9t5LEvV9O5VTxndA6oDuA/AVOBLiLyM9AKOM+/IfnOGucMH4E0u0NkeBjPXzKIK1+bxy3vL6JKlQkD2vk7LI9TVeZu3M+wTi0Cpu0QEf52ei/yisv554y1VKly64nd/R2WV8zesI/OreJITQycStxLhncgt7icx6evRoF/XdCfiBAdoOtqDfWbwJsicq6qfuzlmAJKv3ZJ/Lh2D8VllTZYq5asvYVc+fo8tucU89BZfbhseAePNKJnDWjHF0t28OTXazh7YLsmM6DBHQcKy7jurfks2HyAG4/rwu0ndfdII9W7bRJ/PKEbT81Yy++2d6FPu5Bbu6nRSisq+cuHS5m6ZDun9m3NE+f1Z/7smf4O6yBVXSgixwE9cExvukZVm8wqVWt25hMdEUbHlnH+DuUQsVHhvHHNUK554xdu+2AxFZXKuYPT/R2WR2UfKGZnXklAlHvUFBYm/OP8/o4pDb9ZR1WVctu47gGT9HtCRWUVv2QdYMKAtv4O5Td+N6YLIvDYl6upUuXpCweE5Kw37s5D/bGInAb0BmJqbH/w8EcFt77pyVQprNyRy+COgdVI+NOiLQe49s35qCrvTxzh0e+NiHDrid35dvVufli7h3MGhdYfncbaur+IK1+fR/aBYp6/ZBCneXgAysXDO/DPb9byzapdllDXkldSzsS35jNn437+cnIPfj+mS8D9UXYOFP89MBpH2cdPIvJi7QHloWrNrny6pcUH5Lz2zaIieP2qYVz31i/c/tES8kvKuWpUJ3+H5TGBVD9dW3iY8MS5/QgT+Pd368krqeCvp/cKyP8nDbFsWy4FpRUBO/3pjcd1IUzg79NWU1hawfOXDCIuxNb4cOsjgoi8CFwI/AFHz8f5QEcXjx0vImtEZL2I3HWE/YaKSKWIBMQtyn7pjoTC6qh/9f3q3Vz88hzioyP4+HdHe+WDRu+2iaTER/P9mj0eP3cwW7E9l7NfmMW+gjLevW64x5NpcMyhO6hDc75Ztcvj5w5mu/JKuODF2czPOsC/LuzPTcd3Dbhk2uktHJ0ezwLPAb2At+s7SERiRGSeiCwRkRUi8kCN1/7gbL9XiMgTNbZPcrbpa0TkZC9ci9vW7MwPmAGJdYmNCufVK4dy4lFp3P/5Sh7530qqQmSw3LxN+0iKjaR7gK4nEBYmPHZOP64d3Yk3ZmVx07sLKSkPqHKtBpu9cR9AQAxIPJyJx3bh72f35ce1e7j45TnsLQiosSeN5m6f+9GqegVwQFUfAEYC7es7SETCgeeBU3A07hc750ata7/Hga/cjMtr0hJjSE2IZpkl1AB8tWInE9+eT9fUeD7+3dFem7Q9LEwY06MVP67dY4MTnZZl53LxS3OIChc+/t1IhmZ4rxdo7FGpLN+Wx47cYq+9RzDZkVvMhf+dzdb9Rbx+9VDOHhjQd016qOq1qvq98zERcKVotBQ4QVX7AwOA8SIyQkSOByYA/VS1N/AkgLMNvwhH8j4eeMHZhvvNgcIydueX0jOA6qfrUj1X7xUjHctk/2dJKcVlwZ/Yzdu0n6EZLQJ6erqwMOGvp/fi3tOO4quVO7n0lbnszg/+mzezN+yje1p8wK/KecnwDrx0+RDW7srnnBdmHRzzEArcTair/9cViUhboBxw5X7VMGC9qm5U1TLgfRwNdG1/AD4GAmrern7pSSy1gYlMW7aDm95dSO+2Sbx73YhGDYBzxZgercgtLmfx1gNefZ9gsHhrDpe8MofE2Eg+uGGk11eUHOdcMvbbVQH1q+gX23OKueilOewrKOPt64ZzTLdW/g6pPoucM3sAICLDgZ/rO0gdquerjHQ+FPgd8Jiqljr3q/5PMQF4X1VLVXUTsB5HW+833zqnfBzQvrk/w3BJeJjwwJm9mXRKT+bvrOTsF35m875Cf4fVYFv3F5G1r4hhnQL/ew9w3TGdef6SQazYnssZz85k4Zbg/TtTVlHF/KwDATO7R31O7JXGe9ePoLjc8f9+2rId/g7JI9xNqD8XkWTgH8BCIAt4z4Xj2gFbazzPdm47SETaAWcDL7oZk9f1bZfMhj0FFJRW+DsUv5m+fAd/eG8RA9on8/a1w0iK9f5Srsd0bUV4mPD96qZd9rE0O4fLX5lL82ZRfHDDyAZNieeurqnxdGjRrMmXfezIdSTT+wvKeOvaYQzqEBTJwnBglohkiUgWMBs4TkSWicjSIx0oIuEishhHp8YMVZ2Lo3f7GBGZKyI/iMhQ5+71tuu+9u7czXRpFcfQjKD4OSEi3HBcF24bHM2O3BLOeHYm3wbp79yLP2wgMlw4rV/gDYo7nFP7tuGT340iKiKMC/87m7fnbA7KuaqnLNpGcXklY3r6b3VKdw3s0Jwv/jCaHq0T+P27C3n0y1VBP1e1uPqfR0TCgBGqOsv5PBqIUdV6u25F5HzgZFW9zvn8cmCYqv6hxj4fAk+p6hwReQP4QlU/quNcE3Esg05aWtrg999/36X4ayooKCA+3vVShcW7K3h6YSmThsXQo0Vgz/Th7rW5YvneSp5eUEJGUhh/HhJDbITvbuf9fW4xpZXwwNGOBUq8cX2Boq5r21ZQxaNzi4mNECYNj6FFjO9GRv/fqlK+21rBcyc0I8YDP/Ng+9nllyl/n1tMTqnylyExdE4+/O9+Q6/t+OOPX6CqQxoTZ20icsRxLapa7+oizo6TT3HcNXwf+A64BRiKY9XFzjjqs2er6jvOY14FptU1E1Rj221Xvr+b8yq5b1YJl/SM4qQM73/g96SCggKKwprx3KJStuRXMbZDBBf2iCIqPHBLJ2raW1zFnT8Wc1x6BFf0PvTOZTD83heUKf9dWsqyvZUMSg3n6j7RJETV/70PhGsrr1Lu/LGY5GjhryNiPDquwxfXV16l/N+qMr7fWkGnpDBu6BdN6zjv/53zSputqi4/cDSebh3jPG4k8FWN55OASbX22YSjxzsLKMDRQ3LWkc47ePBgbYjvv//erf135RVrxzu/0Jd/3NCg9/Mld6+tPvOz9mvPe7/Uk//1g+YUlnn03K54/vt12vHOL3RnbrGqev76Aknta9uyr1CHP/KNDnl4hmbtLfB5PD+v26Md7/xCv1y2wyPnC6afXX5JuZ7x7E/a/Z5pOmfD3nr3b+i1AfO1AW1qfQ+gOdAPGFT9aMA57gNuB6YDY2ps34BjbutD2nEcY19G1nfehrTbrnx/7/p4qfa4d5pf2qnGqr6+4rIKfWDqCu145xc69qlMXZad49/AXHTXx0u0293TdHtO0W9eC5bf+8rKKn3phw3a7e5pOvThGfrd6l31HhMI1/bazI3a8c4vdOa6PR4/ty+vb9rS7drv/q/0qL9+qe/O2ayVlVVefT9vtNnufgz4WkTOFfc/Av0CdBORTiIShWMgy9SaO6hqJ1XNUNUM4CPg96o6xc338YrUhBjaJMU0uZk+1u3K5+rX55GWGM1b1w4jqZnve32O7+G4hfVDE5vtY19BKZe/OpeisgrevnaYX+bUHdqpBQkxEUF7C7qhSisqmfjWfFZsz+P5SwYxPEjqEquJyEPAUuDfwFPOx5MuHNfK2TONiMQCJwKrgSnACc7t3YEoYC+ONvwiEYkWkU5AN2Cehy/HJfkl5Xy2eBtn9Gvrl3bKU2Iiw/nbGb14+9ph5JeUc+ZzM3n4i5UUBnC54ZZ9RXw4P5uLh7WnTVKsv8NpsLAw4fpjOzPlplEkxUZy9eu/cMv7iwJ6Joqisgqe/349Izu3ZFTXFH+H0yin9G3D9FuPYUD7ZO7+dBkXvTyHDXsK6j8wgLibUP8J+BAoFZE8EckXkbz6DlLVCuBmHD0Yq4DJqrpCRG4UkRvdjtoP+rRLYsX2ppNQ784v4arXfyEqIpy3rx1OaoJ/Vl7q2TqB1okxfL+m6QyOKymv5Pq35rMjt4TXrx5Kz9aJfokjMjyM47q34oe1TefDjKoy6eNlzNqwjyfO7ceJvdL8HVJDXAB0UdUxqnq883GCC8e1Ab531ln/gqOG+gvgNaCziCzHUf5xpbOzZgUwGViJoxf7JlX1y1QVUxZto6iskktHuDSLa8A7plsrvr7tOC4a1oFXZm7ipH/9yPTlOwKyvvfZ79YRFib8/viu/g7FI3q1TeSLP47m1hO78eWynYx96gfenrM5IJfNfv3nLPYWlHH7yT38HYpHtEmK5d3rhvP4uX1ZvSOPU57+iae+XhPQHyhrciuhVtUEVQ1T1ShVTXQ+d+mvvapOU9XuqtpFVR9xbntRVX8zCFFVr9I66qf9KTUhmtziprHYWHFZJde/OZ/9hWW8dtUQnwyCOxwRYVTXFH7J2u+3GHypqkr58+QlLNqaw9MXDvD7YkJdU+PZnV8a9INFXPXMt+v4ZNE2/jSuezCvYrccSHb3IFVdqqoDVbWfqvZR54Jdqlqmqpc5tw1S1e9qHPOIs03voapfeu4SXFdRWcXbczbTp10i/dNDZyGipNhI/n52Xz68cSRx0eHc+M5CLvzvHJZszfF3aAdNWbSNDxdkc8WIjqQF0HLXjRUdEc6tJ3Zn2i2jOapNAn+dspxTnvmJzDW7A+ZDzdLsHJ7/fj0nHpXK4I7BMQjXFSLChUM78M2fj2N8n9Y8+916jn8yk8nztwb8FLruLuzyrSvbQlFsZHhIzBNan6oq5dYPFrF0Wy7/vngg/dKT/R0SbZNj2F9YRlWA/zJ5whNfreF/y3Yw6ZSenNLX84u2uKt62fcDhWV+jsT7Pl2UzdPfrOPcQen84YSg7m17FMfUeV+JyNTqh7+D8pZ/f7uOtbsK+N1xAbvQTqMMzWjBtD8ewyNn92Hj3gImPP8zE9+az3I/T+X68/q9/OWjJYzs3JK/jA+NHtLauqYm8N71I/jv5YMpr6ziqtd/4YL/zmbmur1+Taw37ingqtd/oUVcFH8/u6/f4vCm1IQY/n3xQD7+3dG0TY7ljo+WctK/fuCzxdsCNrF2ad1H51K2zYAUEWmOY5VEgEQgeObIaYTYqHCKyitR1ZBstKs9/c1avlqxi7+e3otxAXK7u3mzKKrUsexzKJu1vYKXlm7g0uEduP6Yzv4OB4CUuCgA9haUkRpCPVC1LdxygDs/WsaIzi149Jy+wf47/iaOBbKWASF9a2HWhr08+/16zh+c7pVVQwNFRHgYlw7vyJn92/LKT5t47edNfL1yF2N7pnLt6E6M7NLSp/9nV27P44a3F9A5JZ4XLx9MdERgz37VGCLCyb1bc3yPVN7/ZQsvfL+By16dy6AOyYxsUcHoyioiwn03+9KuvBIuf3UeAo5yzBBulwEGd2zOJ787mukrdvLMN+u45f3FPPPtOq4Z1YlzBrWjWVTgLF/uaiQ3ALfiSJ4X8GtCnYdjBcSQFxMZjiqUVlQRExmajce0ZTv493fruWBIOteMyvB3OAe1jHckdftCuJd0aXYOry0vZXinFtx/Zu+ASeiqe6j3FQbuwJzG2pVXwo1vLyAtKZr/XDqYqAjf/XH0kr2q+m9/B+Ft+wpKufX9xXRKieOBCb39HY5PJMREctu47lx7TCfe+DmLN2Zlcckrc+meFs/lIzM4o18bkptFee39VZUPftnKQ1+sJDE2kjeuGeqTNQkCQVREGFeMzODCoe2ZPD+bl37cwPNbSvl00/dcOqIj5wxq5/VBmT+u3cOdHy8lr7ic9yeOpFOK7wer+0NYmHBq3zaM792a6St28kLmeu6dspx/fLWGC4e25/zB6XRL8//qqC4l1Kr6DPCMiPxBVZ/1ckwBKdaZRJeUV4ZkQr1qRx5/nryEQR2SeeisPgGT0IGjhxpCt+xgd34JN7y9gKQo4YVLBxHpw96O+hz8MFMQmt/70opKbnxnAQWlFbx17dE0j/NeMuJDC0TkURyzcBz8JKSqC/0XkmflFpXzu3cXklNczhtXDwuoXipfSIyJ5I9juzHx2M58vmQ7r/+cxV+nLOehz1cy9qhUzujflmO7tyI+2nPfl637i7hv6gq+W72bUV1b8o/z+gf1rB4NFR0RzuUjOnLJsA488+G3zMttxj++WsOTX69hdNcUzujflrE9Uw92RnhCblE5j01fzXvzttClVRz/vXwwfUNovICrqhPrU/q0Zv7mA7z+8yZem7mJl37cSP/0JM4c0I6TeqX5bdyXW79tqvqsiBwNZNQ8VlXf8nBcASc2ypFEF5dXuj/aJ8DlFpUz8e35JMZG8OJlgXf7roUzydlfWEZIpDs1lFdWcfO7izhQVMakodEebYQ9IcUZTyBPHdUY909dwaItOfzn0kF+m03FCwY6/x1RY5vinPou2GXtLeSaN39h6/4inrpgAL3ahszPzW0xkeGcP6Q95w1OZ8X2PD5ZuI3PFm/jy+U7iQoPY3jnFozqmsLQjBb0bZfk9t2XsooqZm/cx9uzs/h29W6iwsO4/4xeXDEyg7CwwOl08YfwMGFQWgR/unAkWXsL+WTRNj5ZmM0dHy1FBAZ3aM7obikM69SCge2bH8whXFVVpSzJzuHduVv4fMl2yiuruOG4ztx2YveQ7NRzh4gwNKMFQzNasLeglM8Wb+ejBdk89MVKHvpiJT1bJ3BMtxSGd2rJ0E4tfHYXxa2EWkTeBroAi4HqEXoKhH5C7fwPHGoDE6uqlD9/uJiduSV8cMPIgKzHqu41PFBURmBUdXvOP75aw7ys/Txz0QCSctb5O5zfSIyJIDJc2BuCPdQfzt/Ke/O28vsxXQJiAKinqOrx/o7BG1SVGSt3ccfHSxHg3etGMKyTf2fBCRQiQp92SfRpl8Tdp/Zk4ZYcvlm1i29X7eKxL1cDjpKFrq3i6dE6gc4pcaQmRtMqIZr46Eiqb0jmFpWzK7+EbQeKWbQlh0VbD1BSXkVKfBQ3jenKpSM6NMle6fpkpMTxp3Hdue3EbqzYnseMlbv4dvUunvl2HaoQESZ0SomjR+sEurSKJy0xhtSEaBJiIggLE8IE8oor2JNfyvbcYpZm57JwywFyisppFhXOuYPTuWJkx1D60O8xKfHRXDu6E9eO7kTW3kJmrNzFjFW7eHPWZl7+aRMA7VvE0rN1Il1T42mTFENqQgw7cz2fy7l7P2gI0EsDZd4YH6rZQx1KXvxxA9+s2s39Z/RiUIfAnHqnRbPqHurykEqopy/fyUs/buTyER2ZMKAdmZmBl1CLCC3jotkXYj3Uq3bk8dfPljOyc0v+NK67v8PxKBFJA/4OtFXVU0SkF44VDF/1c2gNtiGnkhf+O4d5WfvpnhbPy1cM8ctiR8EgIjyMYZ1aMKxTC+4+9Sj25JcyP2s/C7ccYM2uAuZs3Meni7Yd8RzhYUKvNolcPKwDwzu15PierQLuzmUgqvnB5rZx3cktLmfh5gMs2HyA1TvzWZqdy/+W7aC+DKprajzje7dmSEYLTu6dRkJM06hTb6yMlDiuP7Yz1x/bmZLyShZtyWHB5v2s2pnP6h15fLd698EZQlrHCVdN8Oz7u5tQLwdaAzs8G0bgq1lDHSpmb9jHk1+t4Yz+bbny6Ax/h3NYsVHhxESGcaCozDHXTAjI2lvIXz5cQv/0JO49/Sh/h3NELeOjQmpAaF5JOb9/dyGJMZE8c/EAn47Q95E3gNeBe5zP1wIfAEGZUE/+ZSsPzSkhJV556Kw+XDS0fUCNMwh0rRKiOaVvm0PuwpSUV7K3oJQ9+aUUllaiKKqOua/TEmNIiY8Kxd8Ln0uKjeT4nqkc3zP14Lbyyir2FpSyO6+UgtIKqlSpUoiPjiA1wXHXoKmXdHhCTGQ4I7u0ZGSXX1e6raxS9heWsSuvhDnz5nv8Pd1NqFOAlSIyj0MHu5zp0agC0MEe6rLQmIVqX0Ept7y/iIyUuKCYJqxFsyj2F4ZGQl1aUcnN7y0kLEx4/tJBAd/z0zI+dHqoVZW7P1nGlv1F/N91/lsB1BtEJMK5Km2Kqk4WkUngWKlWRIK2J2DsUamc3TWShy8fQ5wHB9k1ZTGR4aQ3b0Z68xBoUINMZHgYbZJirXTGD8LDhFbODy17m3v+7667rdP9Ho8gSBysoQ6BHmpH3fSSgyPkPTkS3FtaxDsT6lb+jqTxnpi+huXb8njp8sFB8QctJT6KDbsL/B2GR3w4P5svlu7gLyf3YHjnlvUfEFzmAYOAQhFpiWN8CyIyAvDvKiCN0DI+mgldoyyZNsYENHdn+fhBRDoC3VT1GxFpBgR295qHxIRQQv3az5vIXLOHByf0DpoR8s2re6iD3Herd/HqzE1cObIjJ/Vu7e9wXJISH83egtKgX9Ro/e587pu6gqO7tOTG47r4OxxvqP7h/AnHlHldRORnHB9Dz/NbVMYY0wS4O8vH9cBEoAWO2T7aAS8CYz0fWmCpLvkoCfJZPpZl5/L49NWc1CuNy0d09Hc4LmsRF8WW/UX8mjMEn115Jdz+4VKOapPIpFMDu266ppZxUZRWVFFYVhkUdzPqUlJeyR/eW0xsVDj/unAA4aE55VcrEfmT8+tPgWk4fmFKgROBpf4KzBhjQp27ow5uAkbhWCERVV0HpB7xiBARCiUfRWUV3PL+IlrGRfPEef2Cqrcx2Huoq6qU2z9cQlFZBc9ePDCoBp0cXC0xiOuo//HVGlbtyOPJ8/uRFoBTQ3pIOBAPJABxODpMwnGMPPD/MmLGGBPC3O1uKlXVsupETEQicNbphbpQSKj/Pm0VG/cW8n/XDffq8rTe0CIuivySCiqqgivuam/NzuKndXt5+Kw+dE2N93c4bqleLXFvQVlQTlX28/q9vDpzE1eM7MgJPUNp4sXf2KGqD/o7CGOMaYrc7aH+QUTuBmJFZBzwIfC558MKPNHOFaaCdWGX71fv5p05W7j+mE4c3TXF3+G4rXpxl4Ly4Pv8tnZXPo9+uZoTeqZy6fAO/g7HbSlxwdtDnVNUxp8nL6FLqzgmnRI8ZTYNFDy3nIwxJsS4m1DfBewBlgE34KjRu9fTQQWisDAhJjIsKOeh3ldQyl8+WkrP1gncfnIPf4fTINWLuwTbgn1lFVXc+v5i4qMjePzc4CqzqZaS4PjeB9tc1KrKvVOWs7eglKcvHOj20r9BKOTHshhjTKByt+QjFnhNVV8GEJFw57YiTwcWiGIjw4Ou5KM6qcgrLued64YF/JzHh9M8zrFSVH5ZcPVQ//vbdazckcfLVwyhVUK0v8NpkBbOuwN784Orh/rzpTsOTpHXNz3J3+F4naru93cMxhjTVLnbQ/0tjgS6WizwjefCCWyxkeEUBVnJx9Ql2/ly+U5uG9ednq2DY4q8urR0lh3kB1HJx+KtOfznhw2cNzidcb2Ct3Y3OiKchJiIoOqh3p1Xwl+nLGdA+2RuOLazv8MJCiISIyLzRGSJiKwQkQdqvX67iKiIpNTYNklE1ovIGhE52fdRG2NMYHC3hzpGVQ+u8KCqBc65qJuEmKjg6qHelVfC3z5bwcAOyUwM8qSiuoe6IEh6qEvKK/nz5MWkJUTztzN6+TucRqueizoYqCqTPllGSXklT13Q35ZQdl0pcIKzXY8EZorIl6o6R0TaA+OALdU7i0gv4CKgN9AW+EZEuqtq8DSSxhjjIe7+pSkUkUHVT0RkMFDs2ZACV2xkeNDMQ62q3PXxUkorKnnq/P5BP+9uc2cNdbCUfDz51Ro27Cnk8fP6kRgT6e9wGq1lXBT7gqSA/cMF2Xy7ejd3jO9Jl1bBNaOKP6lDdYdJpPNR/Qv3L+AODp3VaQLwvqqWquomYD0wzFfxGmNMIHG3h/pW4EMR2e583ga40KMRBbBgqqH+eOE2vl+zh7+d3ovOIZBURIaHkRATERSzfCzYvJ9Xf97EpcM7cEy3EFgrHUcP9ca9gb/8+I7cYh76fCXDOrXg6qMz/B1O0HGOi1kAdAWeV9W5InImsE1Vl9QaVNsOmFPjebZzmzHGNDnuLj3+i4j0BHrgmKJptaqWeyWyABQbFU5BaYW/w6jXrrwSHvx8BUMzmnNVCCUVLeKiyC8L7LKDkvJK/vLRUtomxQbVaoj1aRkfxbyswO6hVlXu/mQZ5VVV/OO8foQF+V0Zf3CWawwQkWTgUxHpB9wDnFTH7nV9g+v8xCsiE3GssktaWhqZmZluxVVQUOD2McEklK/Pri14hfL1eePaGrKO8FAgw3nsQBFBVd/yaFQBKiYynD0BPtOBqnLPp8sprajiifP6h1RS0bxZFAVFgf39/9c3a9m4p5C3rx0WtMt016VlfDQHisqoqKwK2JrkTxc57sr89fReQbkATSBR1RwRycRR1tEJqO6dTgcWisgwHD3S7Wsclg5spw6q+hLwEsCQIUN0zJgxbsWTmZmJu8cEk1C+Pru24BXK1+eNa3PrL6OIvA08CYzGkVgPBYZ4NKIAFhsZHvDzUM/ZUck3q3Zx+0k96JQSWklFi7iogJ7lY/HWHF7+cSMXDW0fMqUe1VLio1CFA0WBeUNqd14JD3y+ksEdQ+uujC+JSCtnzzQiEgucCCxS1VRVzVDVDBxJ9CBV3QlMBS4SkWgR6QR0A+b5J3pjjPEvd7vQhgC9VDVwsxovahbgs3zsKyjl3VWlDOyQzDWjO/k7HI9r3iwqYAclllVUcedHS0lNiOHu00Kn1KNa9bSF+wpLA3I+7b9+tpzi8kqeOK9f0A/A9aM2wJvOOuowYLKqfnG4nVV1hYhMBlYCFcBNNsOHMaapcjehXg60BnZ4IZaAFxMZHtBLjz/w+UpKKuCJc0MzqWgZHxWw0+b9J3MDa3bl8+qVQ0JiVo/aWsY7V0sMwJk+vly2g69W7OJOm9WjUVR1KTCwnn0yaj1/BHjEi2EZY0xQcDehTgFWisg8HHOWAqCqZ3o0qgAVGxVOSXmVv8Oo03erdzF1yXbO7hpJt7QEf4fjFc2bRVFWBcVllQG1jPS6Xfk89/06zujflrFHBe8CLkeSEu/olQ60uahzi8r529QV9G6byPXHhN5dGWOMMcHB3YT6fm8EESxiI8Mpq6wKuIFZ+SXl3PPpcnqkJXBa58DtQW+sFs7FXfYXldEuKraevX2jskq58+OlxEVHcF8ILOByOCnOHuq9AdZD/fdpq9hfWMbrVw0NqN9JY4wxTYtbf4FU9QdgNZDgfKxybmsSYiMdvaIlFYHVS/3E9DXszCvhsXP7EhGCpR7Vqhd3ORBAS2C/PTuLhVty+NvpvQ724oaixJhIIsKEfQHUQz1r/V4+mL+V64/pTJ92Sf4OxxhjTBPm7iwfF+AYxX0+cAEwV0TO80ZggSjGWWYQSHXUCzbv5525m7nq6AwGdmju73C8qkWcs443QBLq7TnF/OOrNRzTLYWzB4b2ehZhYUKLAFotsaS8kkmfLiOjZTNuPbGbv8MxxhjTxLl7j/QeYKiqXqmqV+BYZvavrhwoIuNFZI2IrBeRu+p4/VIRWep8zBKR/m7G5nUHe6gDZKaP0opK7vp4GW2TYrn9pB7+DsfrmscFTg+1qvLXKcupUvj72X2ptYJcSGoZHx0wNdTPfLuOzfuK+PvZfYmJDJx6emOMMU2Tuwl1mKrurvF8nyvncE7D9DxwCtALuFhEahecbgKOU9V+wEM4FwEIJNUJdaBMnfffHzaybncBD5/Vh7gQWkTkcFo4Sz72B0BC/b9lO/h29W7+NK477Vs083c4PtEiLpIDRf7/3q/akcdLP27k/MHpHN01xd/hGGOMMW4PSpwuIl8B7zmfXwh86cJxw4D1qroRQETex7EC18rqHVR1Vo395+BYdSugxEY5PjsEQsnH+t0FPPfdes7o35bje6b6OxyfSIqNRMDvSV1uUTn3T11Jn3aJXD0qw6+x+FJybBQ7c/P8GkNllXLXx0tp3iySe0Jwvm9jjDHBya2EWlX/IiLn4FgpUYCXVPVTFw5tB2yt8TwbGH6E/a/FtUTdp6pvLRf5OaGuqlLu/nQZsVHh/O300J1ZorawMCE+yv891I9NX8WBojLeuLppzSyRGBtJbrF/V0p8a3YWS7JzeeaiASQ771gYY4wx/uZSQi0iXYE0Vf1ZVT8BPnFuP1ZEuqjqhvpOUce2OlfoEJHjcSTUow/z+kRgIkBaWhqZmZmuXMIhCgoKGnTchhxHIj1v4SJKt/qvxOKH7HLmbSrj6j5RrFgw+5DXGnptwSIuXFmTtY3MzH1+ef81+yt5b14J4zMi2LtuEZnrPHfuQP/Z5e0p40BhOd9//32DasYbe337iqt4fGYxfVPCSTywlkxPfvMbKdB/dsYYY7zL1azwaeDuOrYXOV87o57js4H2NZ6nA9tr7yQi/YBXgFNUtc6MSVVfwllfPWTIEB0zZkw9b/1bmZmZNOS41jvzYM5PdOvZmzF927h9vCfsyS/lj5mZDOvUgr9dOuI3iU1Dry1YJM79koi4JMaMGenz9y6tqOShZ36iXXIs/7zmWJpFefZDVaD/7FbLBv63aTXDjj6mQTX7jbk+VeX6t+YjYWW8cM2xAVe3Hug/O2OMMd7l6v3qDOeytIdQ1flAhgvH/wJ0E5FOIhIFXARMrbmDiHTA0fN9uaqudTEunzo4KNGPJR8PfbGSkvKqJjOzRG3xkcKBQv+UHbyYuZENewp5+Ow+Hk+mg0FyrGNhHX+UfUxfvpNvVu3mtnHdAi6ZNsYYY1xNqGOO8Fq9S9apagVwM/AVsAqYrKorRORGEbnRudvfgJbACyKyWETmuxibz/h7lo/v1+xm6pLt/P74LnRNjfdLDP4WHyV+GZS4YU8Bz3/vHATao2kMAq0tyZlQ5xT5NqHOKynnvqkr6NUmkWtG2fLixhhjAo+r3Wy/iMj1qvpyzY0ici2wwJUTqOo0YFqtbS/W+Po64DoX4/GL6oVd/DEPdVFZBfd+upwureL43ZguPn//QBEf6UioVdVnPfRVVcqkT5YRExnWpAaB1pbUzJlQF/v2A80T01ezt6CUV64c0qQGgRpjjAkeribUtwKfisil/JpADwGigLO9EFdA8mfJx79mrGVbTjGTbxhJdETTXcgiIUoor1QKyyqJ99Hc2x8u2Mq8Tft5/Ny+tEoI3eXF65Mc65hVI8+HJR/zs/bzzpwtXDOqE/3Sk332vsYYY4w7XMpIVHUXcLRzBo4+zs3/U9XvvBZZAIoMDyMiTHxe8rF8Wy6vztzExcM6MKxTC5++d6CJd3SScqCwzCcJ9Z78Uh753yqGdWrBBUPa139ACDvYQ+2jko+yiiomfbKMdsmx/Pmk7j55T2OMMaYh3J2H+nvgey/FEhRiI8N9mlBXVDqSihZx0dw1vqfP3jdQxUc5yjwOFJX5ZHDaA5+vaNKDQGvy9aDE//6wgXW7C3jtqiFNYiVQY4wxwcsKEt0UGxXu0xrq13/OYtm2XO4/s9fBHsKmLD7SkdT6YnGXb1ft4oulO5r0INCamkWFExEm5PggoV6/u4Bnv1vPaf3acELPNK+/nzHGGNMYllC7KTYq3Gc11Fv2FfHUjDWceFQap/lp3utAk+DsofZ22UFBaQX3TllO97R4fj+mq1ffK1iICMnNvL9aYlWVcvcnjpVA7z+jt1ffyxhjjPEES6jd5KuSD1XH8uIRYWE8dFbvJl9uUM1XPdRPfrWGnXklPHpOP6Ii7NekWmJsJLle/jDz/i9bmZe1n3tOPapJDwL1NRGJEZF5IrJERFaIyAPO7f8QkdUislREPhWR5BrHTBKR9SKyRkRO9lvwxhjjZ5YpuCkmMpzi8iqvv8/HC7cxc/1e7jylJ22S6p3qu8loFglhglfnol645QBvzs7iypEZDO7Y3GvvE4ySY73bQ70rr4RHp63i6C4tOX9Iutfex9SpFDhBVfsDA4DxIjICmAH0UdV+wFpgEoCI9MKxSFdvYDyONQSa7hRExpgmzRJqN8VGhlPi5ZKP3fklPPTFSoZ0bM6lwzp49b2CTZgISbGRXkuoSysqufOjpbRJjOH2k3t45T2CWVJspNfmoVZV/jplOWWVNgjUH9ShwPk00vlQVf3auTgXwByg+pPOBOB9VS1V1U3AemCYT4M2xpgAYUPn3RQbFc6e/FKvnb86qSgur+Tx8/oRFmZJRW3N46K8tvz4c9+tZ93uAt64eqjP5rkOJsnNoli3u6D+HRvg86U7+HrlLiad0pOMlDivvIc5MmcP8wKgK/C8qs6ttcs1wAfOr9vhSLCrZTu31XXeicBEgLS0NDIzM92Kq6CgwO1jgkkoX59dW/AK5evzxrVZxuAmb9dQT1u2k69W7OLO8T3p0spmlqhLi2ZRXumhXr4tlxcyN3De4HTGNNHlxeuT5KWSj30Fpdw/dQX92ydz3TGdPX5+4xpVrQQGOOukPxWRPqq6HEBE7gEqgHedu9f1aV8Pc96XgJcAhgwZomPGjHErrszMTNw9JpiE8vXZtQWvUL4+b1yblXy4KSbSe7N87C8s476py+nbLonrj+nklfcIBcnNojw+KLG8soo7PlpKi7go/npa011evD5JsZHkl1RQWVVn3tRg901dQUFJBf84rx/hdlfG71Q1B8jEURuNiFwJnA5cqqrVP/xsoOZqR+nAdt9FaYwxgcMSajfFRoV5rYf6vqkryCkq54nz+hERbj+aw2kRF+nxafNe+H4DK3fk8chZfWy+7yNIdn5vPLn8+PTlO/hi6Q7+OLYr3dMSPHZe4x4RaVU9g4eIxAInAqtFZDxwJ3CmqhbVOGQqcJGIRItIJ6AbMM/HYRtjTECwkg83xXqph/qLpdv5fMl2/jyuO0e1SfT4+UNJ82ZR7C8qQ1U9MnBtWXYuz363jgkD2nJS79YeiDB0JTlXS8wpLqd5XFSjz7e3oJR7Pl1On3aJ3HBcl0afzzRKG+BNZx11GDBZVb8QkfVANDDD+fs2R1VvVNUVIjIZWImjFOQmZ8mIMcY0OZZQu6m6htpTyRw4ZvW4d8py+qcn8bsxllTUp3lcFGUVVRSXV9IsqnH/hUvKK/nT5MW0jI/iwTP7eCjC0FXdQ+2JOmpVZdIny8gvreC9CwYQaXdl/EpVlwID69h+2JWNVPUR4BFvxmWMMcHA/oK5KSbKMc1qaYVn5qJWVSZ9vIziskqeumCAlXq4oLkzqfNEHfU/Z6xl3e4CHj+3n5V6uOBgD7UHBoV+vHAbM1bu4i8n9bBSD2OMMUHNsjc3xUY6EmpPlX28/8tWvl29mzvG96Rrqs3q4YrmzRylBo2to56zcR8v/7SRS4Z3sFk9XJQU6/jeN7aHOvtAEQ9MXcGwjBZcM9oG4BpjjAlullC76WBC7YGBiet25fPA5ys4plsKVx+d0ejzNRXVtbuN6aE+UFjGbR8sJqNlHPecepSnQgt51T3UjUmoKyqruOX9xQA8dUF/m9XDGGNM0LMaajfFRnkmoS4pr+QP7y2iWVQET53f3xZwcUN1D3VD56JWVe78eCl7C0r55HejiLMFXFz2a8lHwxPqp79Zx4LNB3jmogG0b9HMU6EZY4wxfmM91G6K8VDJx2Nfrmb1znyePL8fqYkxngityaiuoT7QwB7qd+Zu4euVjsVz+qYneTK0kBcVEUZcVHiDe6hnbdjL85nrOX9wOhMG1LmonjHGGBN0LKF2U3XJR0kjeqinLdvBG7OyuOroDE7omeap0JqMpNhIRGB/A3pJl2/L5eEvVnJs91ZcM8pqdxsiKbZh84DnlFZx6/uL6ZQSxwMTenshMmOMMcY/7F63mxpb8rF+dz5/+XAJA9onM+nUnp4MrcmICA8jMSbS7Zkm9heWccPbC2gRF8U/L7Aym4ZKahbldg91WUUVLywuJa8E3rh6WKOnOzTGGGMCif1Vc1NjZvnILyln4tsLiI0K5z+XDSI6ItzT4TUZLeLcW368skr543uL2FNQyoc3jCQlPtqL0YW2pNgIcovd+zDzyP9WsvZAFc9cNIBebW3hImOMMaHFSj7c1NAe6soq5c+Tl7B5XxHPXTKINkmx3givyWjezL2ygye+Ws3M9Xt5eEIf+rdP9l5gTUByrHs91B8vyObN2Zs5OSPC6qaNMcaEJEuo3dSQGmpV5aEvVvL1yl3ce9pRjOjc0lvhNRnNm7neQ/32nM3894eNXDaiAxcMbe/lyEKfOzXUs9bv5a5PljKyc0su6N74pcqNMcaYQGQJtZsaUvLx8k8beWNWFteO7sTVNhDOI5rHRblUQ/3Vip3c99lyxvZM5f4zbCCcJyQ3iyTHhR7qFdtzmfj2AjqlxPHiZYNtvmljjDEhyxJqN/1a8uHa0uNTFm3j79NWc1q/NraAiAc1bxbJ/noS6vlZ+/nje4vom57Ms5cMtGXdPSQxNpKyiqoj3qXZur+Iq17/hYSYCN68Zpgt626MMSakWYbhpugIx7esuKyi3n0/WpDNnyYvZkTnFrZ4i4c1j4uipLzqsHcKZm/YxxWvzaNtciyvXTnEZpXwoORmR17cZdPeQi56aQ6l5ZW8ec0wGy9gjDEm5FlC7SYRITYyvN5BiW/P2cztHy5hVNcUXr9q2MEFYYxnHGm1xO9X7+aq1+fRLjmW9yeOoKXN6OFRybGO731dAxNX7cjj/BdnU1xeyf9dP4LuaQm+Ds8YY4zxOUuoGyA26vAJdWWV8s+v1/DXKcs58ahUXr5iyMEyEeM5h0uoJ8/fysS359M1NZ4PbhhJmq1C6XG/Lj9+6Pd+9oZ9XPTSHCLChMk3jKBPO1uF0hhjTNNg98EbIDYynOKy39ZQ7yso5dYPFvPTur2cPzidR87uS1SEfWbxhl+XH3f0khaXVfK3z5bz4YJsju7Skv9cNvhg4mc8q7rko7qHurJKeeH79fzrm7VkpMTx5tXDaN+imT9DNMYYY3zKEuoGiIkMY/XOPHbnl5CaEIOq8tWKnTzw+Ur2FZbx2Dl9uXBoe0SsZtpbWsT92kO9YPN+7vl0OWt25fPHE7pyy4ndbUYJLzrYQ11czqa9hfx1ynJmrt/LWQPa8vDZfYmPtmbFGGNM0+Kzv3wiMh54BggHXlHVx2q9Ls7XTwWKgKtUdaGv4nPHVaM68eDnKzjhyR+4/pjOzNqwl7mb9tM9LZ6Xrxhit7p9INlZ8vHEV6vZur+Y1IRoXr9qKGN6pPo5stBXPWPHqz9t4u5PlhEVEWYfIkOAiMQAPwLROP42fKSq94lIC+ADIAPIAi5Q1QPOYyYB1wKVwB9V9Ss/hG6MMX7nk4RaRMKB54FxQDbwi4hMVdWVNXY7BejmfAwH/uP8N+BcPqIjo7um8ODnK/jXN2tpERfFw2f14aKh7W1qNh9JbhZJdEQY+wrKuO3E7lx/bCebycNHEqIjiI4IY/2eAi4e1p4/ju1GaoLVqoeAUuAEVS0QkUhgpoh8CZwDfKuqj4nIXcBdwJ0i0gu4COgNtAW+EZHuqureMrLGGBMCfJWBDAPWq+pGABF5H5gA1EyoJwBvqaoCc0QkWUTaqOoOH8Xolk4pcbx+9TDW7sqndVIMiTFWr+tLkeFhfPL7o2mVEG3JnI+JCO9eN5wWcVF0bhXv73CMhzjb3gLn00jnQ3G0zWOc298EMoE7ndvfV9VSYJOIrMfR1s/2XdTGGBMYfNWd2g7YWuN5tnObu/sEnO5pCZZM+0nvtkmWTPvJkIwWlkyHIBEJF5HFwG5ghqrOBdKqOzac/1bXVQVlm22MMd7gqx7qugortQH7ICITgYnOpwUisqYB8aQAextwXDAI5WuD0L6+UL42CO3ra+i1dfR0II3hLNcYICLJwKci0ucIu7vUZoNH2u1Q/r8DoX19dm3BK5Svz+Nttq8S6mygfY3n6cD2BuyDqr4EvNSYYERkvqoOacw5AlUoXxuE9vWF8rVBaF9fqF2bquaISCYwHthVXX4nIm1w9F6Di22283yNardD7ftbWyhfn11b8Arl6/PGtfmq5OMXoJuIdBKRKBwDWabW2mcqcIU4jAByA7V+2hhjQo2ItHL2TCMiscCJwGocbfOVzt2uBD5zfj0VuEhEokWkE44B5fN8GrQxxgQIn/RQq2qFiNwMfIVj2rzXVHWFiNzofP1FYBqOKfPW45g272pfxGaMMQaANsCbzlmZwoDJqvqFiMwGJovItcAW4HwAZxs+Gcfg8grgJpvhwxjTVPlsnjFVnYYjaa657cUaXytwk4/CaVTJSIAL5WuD0L6+UL42CO3rC/prU9WlwMA6tu8Dxh7mmEeAR7wcGoTA97ceoXx9dm3BK5Svz+PXJo481hhjjDHGGNMQtgqJMcYYY4wxjdDkEmoRGS8ia0RkvXPVr5AgIu1F5HsRWSUiK0TkFn/H5GnOOXIXicgX/o7F05wLGX0kIqudP8OR/o7JU0TkNuf/yeUi8p5zieugJSKvichuEVleY1sLEZkhIuuc/zb3Z4yhxNrs4GVtdnCyNrthmlRCXWMJ9FOAXsDFzuVzQ0EF8GdVPQoYAdwUQtdW7RZglb+D8JJngOmq2hPoT4hcp4i0A/4IDFHVPjgGJV/k36ga7Q0c08nVdBeO5bm7Ad86n5tGsjY76FmbHWSszW64JpVQU2MJdFUtA6qXQA96qrpDVRc6v87H8csdMquWiUg6cBrwir9j8TQRSQSOBV4FUNUyVc3xa1CeFQHEikgE0IzDzFUcLFT1R2B/rc0TcCzLjfPfs3wZUwizNjtIWZsd1KzNboCmllA3iaVyRSQDx2j9uX4OxZOeBu4Aqvwchzd0BvYArztvj74iInH+DsoTVHUb8CSO6dZ24Jhf/mv/RuUVh1ue2zSOtdnB62mszQ461mY3XFNLqF1eKjdYiUg88DFwq6rm+TseTxCR04HdqrrA37F4SQQwCPiPqg4ECgmRkgFnXdoEoBPQFogTkcv8G5UJItZmByFrs4OXtdkN19QSapeXyg1GIhKJo2F+V1U/8Xc8HjQKOFNEsnDc8j1BRN7xb0gelQ1kq2p179RHOBrrUHAisElV96hqOfAJcLSfY/KGXc5luam1PLdpHGuzg5O12cHL2uwGamoJtStLoAclEREc9VyrVPWf/o7Hk1R1kqqmq2oGjp/Zd6oaMp+YVXUnsFVEejg3jcWx+lwo2AKMEJFmzv+jYwmRwTu1HG55btM41mYHIWuzg5q12Q3ks5USA8HhlkD3c1ieMgq4HFgmIoud2+52rlBpAt8fgHedScNG4Go/x+MRqjpXRD4CFuKY1WARQb76loi8B4wBUkQkG7gPeIw6luc2jWNttglg1mYHCV+12bZSojHGGGOMMY3Q1Eo+jDHGGGOM8ShLqI0xxhhjjGkES6iNMcYYY4xpBEuojTHGGGOMaQRLqI0xxhhjjGkES6iNMcYYY4xpBEuoTVARkZYistj52Cki25xfF4jIC154vzdEZJOI3OjmcdNEJLmeff7hvIbbGxWkMcYEMGu3TVPQpBZ2McFPVfcBAwBE5H6gQFWf9PLb/kVVP3LnAFU91YV9/iIihQ0PyxhjAp+126YpsB5qExJEZIyIfOH8+n4ReVNEvhaRLBE5R0SeEJFlIjJdRCKd+w0WkR9EZIGIfCUibVx4nzdE5D8i8r2IbBSR40TkNRFZJSJv1NgvS0RSRCTD+drLIrLCGVOs174RxhgTJKzdNqHEEmoTqroApwETgHeA71W1L1AMnOZsnJ8FzlPVwcBrwCMunrs5cAJwG/A58C+gN9BXRAbUsX834HlV7Q3kAOc28JqMMSaUWbttgpaVfJhQ9aWqlovIMiAcmO7cvgzIAHoAfYAZIoJznx0unvtzVVXnuXep6jIAEVnhPPfiWvtvUtXqbQuc+xhjjDmUtdsmaFlCbUJVKYCqVolIuaqqc3sVjv/3AqxQ1ZENPbfzXKU1tlef+3D7A1QCduvQGGN+y9ptE7Ss5MM0VWuAViIyEkBEIkWkt59jMsYYc3jWbpuAZQm1aZJUtQw4D3hcRJbguN13tF+DMsYYc1jWbptAJr/eUTHG1OYcAf6Fu9MvuXH++/HNFFLGGNMkWLtt/MF6qI05slzgIXcXCHCFiPwDuAywOU2NMcZzrN02Pmc91MYYY4wxxjSC9VAbY4wxxhjTCJZQG2OMMcYY0wiWUBtjjDHGGNMIllAbY4wxxhjTCJZQG2OMMcYY0wiWUBtjjDHGGNMIda1fHzSSk5O1a9eu/g7DpwoLC4mLi/N3GD5l19w0NMVrXrBgwV5VbeXvOIwxxjROUCfUaWlpzJ8/399h+FRmZiZjxozxdxg+ZdfcNDTFaxaRzf6OwRhjTONZyYcxxhhjjDGNYAm1McYYY4wxjWAJtTHGGGOMMY0Q1DXUxpjgUF5eTnZ2NiUlJYfdJykpiVWrVvkwKt+JiYkhPT2dyMhIf4dijDHGCyyhNsZ4XXZ2NgkJCWRkZCAide6Tn59PQkKCjyPzPlVl3759ZGdn06lTJ3+HY4wxxgus5MMY43UlJSW0bNnysMl0KBMRWrZsecTeeWOMMcHNEmpjjE80xWS6WlO+dmOMaQosoTbGNAklJSUMGzaM/v3707t3b+677z4A9u/fz7hx4+jWrRvjxo3jwIEDhxy3ZcsW4uPjefLJJ494/ieffBIRYe/evV67BmOMMYHJ6wm1iISLyCIR+aLW9ttFREUkpca2SSKyXkTWiMjJ3o7NGNN0REdH891337FkyRIWL17M9OnTmTNnDo899hhjx45l3bp1jB07lscee+yQ42677TZOOeWUI55769atzJgxgw4dOnjzEowxxgQoX/RQ3wIcMnRfRNoD44AtNbb1Ai4CegPjgRdEJNwH8RljmgARIT4+HnDMOlJeXo6I8Nlnn3HllVcCcOWVVzJlypSDx0yZMoXOnTvTu3fvI577tttu44knnrDSDmOMaaK8mlCLSDpwGvBKrZf+BdwBaI1tE4D3VbVUVTcB64Fh7r7nC5nr+eeMtZRVVDUwamNMqKqsrGTAgAGkpqYybtw4hg8fzq5du2jTpg0Abdq0Yffu3QAUFhby+OOPHywNOZypU6fSrl07+vfv7/X4jTHGBCZvT5v3NI7E+eBcWCJyJrBNVZfU6s1pB8yp8Tzbue0QIjIRmAjQqlUrMjMzD75WVK488W0RAF8u2MBNA6NJjg6tMvGCgoJDrrkpsGsOfklJSeTn5wPQ95EfvfIey+451qX9fvrpJ3Jycrj00kuZO3cuwMHYquXn53PPPfdw4403oqqUlpYSGRn5m/2Kiop48MEHmTJlCvn5+agqBQUFREdH/+Z9S0pKQupnaowx5ldeS6hF5HRgt6ouEJExzm3NgHuAk+o6pI5t+psNqi8BLwH06NFDx4wZc/C1pdk58O3PAKzLqeLRBVX89/JBDGif3IgrCSyZmZnUvOamwK45+K1atcrrc0y7c/6EhATGjh3LTz/9RFpaGgUFBbRp04YdO3aQmppKQkICixYtYurUqdx3333k5OQQFhZGUlISN99888HzZGVlsWXLFkaPHg3Atm3bOPbYY5k3bx6tW7c+5D1jYmIYOHCgZy7WGGNMQPFmD/Uo4EwRORWIARKBt4FOQHXvdDqwUESG4eiRbl/j+HRguztvuGlvIQDDO7WgSpVfsg5wwYuzefjsPlwwpH09RxtjfCHrsdPq3O7thV327NlDZGQkycnJFBcX880333DnnXdy5pln8uabb3LXXXfx5ptvMmHCBMDRk13t/vvvJz4+/pBkGqBv374HS0QAMjIymD9/PikpKRhjjGk6vFYPoaqTVDVdVTNwDDb8TlXPVdVUVc1wbs8GBqnqTmAqcJGIRItIJ6AbMM+d98za6yj3GNihOe9eN4LLR3SkrLKKOz5ayt8+W055pdVVG9NU7dixg+OPP55+/foxdOhQxo0bx+mnn85dd93FjBkz6NatGzNmzOCuu+6q91zXXXcd8+fP90HUxhhjgkHALD2uqitEZDKwEqgAblLVSnfOkbXP0UPdKaUZURFhPHRWH/q0S+SvU1bw1uzNrN6ZzwuXDiIl/rf1jcaY0NavXz8WLVr0m+0tW7bk22+/PeKx999//yHPX3ml9jhrh6ysrIaGZ4wxJoj5ZMSeqmaq6ul1bM9Q1b01nj+iql1UtYeqfunu+1SXfHRsGXdw24VDO/D+DSNIS4xm3qb9nPnsTJZl5zbsQowxxhhjjKklpKbA+LWHOu6Q7YM6NOfzm0czqEMy23NLOPfFWXy8INsfIRpjjDHGmBATMgl1TlEZOUXlNIsKJzXhtyUdqYkxvDdxBBcP60BZRRV//nAJD3y+wuqqjTHGGGNMo4RMQp21zzEgsWPLuMOuVhYdEc6j5/TlkbP7EBkuvP5zFle8Oo/9hWW+DNWYJkn1N7NgNhlN+dqNMaYpCJ2Eeu+vAxLrc+nwjrx3/QhS4qOZvXEfZzw7k+XbrK7aGG+JiYlh3759TTKxVFX27dtHTEyMv0MxxhjjJQEzy0djVQ9IzGgZV8+eDkMyWvDFH0ZzwzsLWLI1h/NenMXj5/ZjwoDfLM5ojGmk9PR0srOz2bNnz2H3KSkpCdmkMyYmhvT0dH+HYYwxxktCJqGuHpCYkeJaQg3QOimGDyaO4G+fLWfy/GxueX8xy7flcuf4nkSEh0znvTF+FxkZSadOnY64T2Zmpq0kaIwxJiiFTNb4a8mH6wk1QExkOI+f248HJ/QmIkx4+adNXPX6LxywumpjjDHGGOOCkEioVdXtko+aRIQrRmbw7nXDaRkXxcz1eznz+Zms2pHn6VCNMcYYY0yICYmE+kBROXklFcRHR5ASH9Xg8wzv3JLP/zCavu2S2Lq/mHNemMUXS7d7MFJjjDHGGBNqQiKhvuV9x3LCBaUVlFY0bl7ptsmxfHjjSM4Z1I7i8kpu/r9FPD59NZVVTW92AmOMMcYYU7+QSKh/Wndw9XKGPfINszbsPcLe9YuJDOep8/vzt9N7ER4m/CdzA9e88Qu5ReWNDdUYY4wxxoSYkEioa8orqeCSl+dy6/uLGrVgi4hwzehOvH3tMJo3i+SHtXs48/mZrN2V78FojTHGGGNMsAu5hLralMXbGfTQDD5akN2oxSSO7pLC1JtH06tNIpv3FXHW8z8zffkOD0ZqjDHGGGOCWUgk1APaJx/8+pUrhhzy2u0fLuH4JzPZuKegwedv36IZH//uaCYMaEtRWSU3vrOQp75eQ5XVVRtjjDHGNHkhkVBfPSrj4Ncn9kpj9UPj+fO47ge3Ze0r4oSnfuCJ6asprahs0HvERoXz9IUDuOfUowgTePa79Vz/1nzySqyu2hhjjDGmKQuJhPqUPm0Ofr1+dwExkeH8YWw3Zt11AqO6tjz42guZG+hx73TmbtzXoPcREa4/tjNvXjOM5GaRfLt6N2c99zPrd1tdtTHGGGNMUxUSCXVUxK+X8easrINft02O5d3rRvB/1w8/ZP8LX5rDef+Z1eDVEI/p1oqpN42mZ+sENu4t5KznZzFj5a4GncsYY4wxxgQ3ryfUIhIuIotE5Avn83+IyGoRWSoin4pIco19J4nIehFZIyInN+T93p6z+Tfbju6SwvpHTmHSKT0Pbpu/+QADH5rB27OzGjRosUPLZnzy+6M5rV8bCkoruP6t+Tz9zVqrqzbGGGOMaWJ80UN9C7CqxvMZQB9V7QesBSYBiEgv4CKgNzAeeEFEwj0VRER4GDcc14X5957I0IzmB7f/9bMVdJo07eDS5e5oFhXBcxcP5M7xPRGBp79Zxw3vLCDf6qqNMcYYY5oMrybUIpIOnAa8Ur1NVb9W1Qrn0zlAuvPrCcD7qlqqqpuA9cAwT8eUEh/NhzcezWc3jTpk+/FPZvK7dxZQ5uZKiyLC78Z04fWrhpIYE8GMlbs46/mfGzWriDHGGGOMCR7e7qF+GrgDOFyWeg3wpfPrdsDWGq9lO7e5ZHinFm4F1r99Mhv/fip3n/prGciXy3fS/d4v+XrFTrfOBTCmRypTbx5N97R4NuwpZMJzP/PdaqurNsYYY4wJddKYRU+OeGKR04FTVfX3IjIGuF1VT6/x+j3AEOAcVVUReR6YrarvOF9/FZimqh/XOu9EYCJAq1atBk+ePBmABbsqeHZRKQBvjI9zK9aicuWxeSVsyT8073/2hGYkRIlb5yquUF5ZVsqCXZUIcHa3SM7oHImIe+c5nIKCAuLj4z1yrmBh19w0NMVrPv744xeo6pD69zTGGBPIvJlQPwpcDlQAMUAi8ImqXiYiVwI3AmNVtci5/yQAVX3U+fwr4H5VnX249+jRo4euWbMGgIrKKrre4+js/t8fR9O7bZLbMS/flsvpz848ZNulwzvw8Fl93EqIq6qUFzLX89SMtajCKX1a8+T5/YmLjnA7ptoyMzMZM2ZMo88TTOyam4ameM0iYgm1McaEAK+VfKjqJFVNV9UMHIMNv3Mm0+OBO4Ezq5Npp6nARSISLSKdgG7APFffLyL810t54+esBsXcp10Smx49ldtP+nVRmHfnbqHTpGnM27Tf5fOEhQk3n9CNV68cQkJ0BF8u38nZL/xMVgMGPhpjjDHGmMDmj3monwMSgBkislhEXgRQ1RXAZGAlMB24SVUbtKzhhwuyGxyciCMZXvngybRJijm4/YL/zqbv/V9RWFpxhKMPdULPNKbcPIoureJYu6uAM5+byQ9r9zQ4NmOMMcYYE3h8klCramZ1/bSqdlXV9qo6wPm4scZ+j6hqF1XtoapfHv6M3tcsKoLZk8YypcZsIPklFfS+7yue+nqNy+fp0iqeKTeN4sSj0sgrqeDq1+fxn8wNDZr72hhjjDHGBJ6QWCnRmwa0TybrsdO44djOB7c9+916Mu76H8uyc106R0JMJC9dPphbT+xGlcLj01dz83uLKCpzvbfbGGOMMcYEppBKqM/s39Zr55506lEsu/8kYiJ//Zad8dxMjvvH9y4lxmFhwq0nduelywcTHx3B/5bu4JwXZrF1f1G9xxpjjDHGmMAVUgn1vacddfDrxVtzPH7+hJhIVj90Cv933fCD2zbvK6LX377ihcz1LpVxnNS7NVNuOppOKXGs3pnPGc/NZOa6vR6P1RhjjDHG+EZIJdSpib8OIrzi1blee5+ju6aw8e+ncv7g9IPbnpi+hk6TprF8W/1lIF1TE5hy0yhO6JlKTlE5V7w2l5d/3Gh11cYYY4wxQSikEuqa8kq8W58cFib84/z+zLt77CHbT392JhOem0luUfkRj0+KjeSVK4bwhxO6UqXwyLRV3PrBYorLGjSxiTHGGGOM8ZOQS6hHdHZvCfLGSk2MIeux03jukoEHty3JzqX/g1/z8o8bqao6fK9zWJjw55N68OJlg2gWFc5ni7dz3ouzyD5gddXGGGOMMcEi5BLqf1/8a2K7cMsBn73v6f3asvqh8YztmXpw2yPTVtH57mn1xjG+Txs+/f0oOrZsxorteZz53M/M2mB11cYYY4wxwSDkEurUhJp11C4vtOgRMZHhvHrVUKbfeswh2895YRYXvTSbPfmlhz22R+sEpt40mmO7t2J/YRmXvzqP12ZusrpqY4wxxpgAF3IJdU0Fbqxq6Ek9Wyey8e+nHjLryJyN+xn6yDe8+MMGyiur6jwuqVkkr181lN+N6UJllfLgFyv584dLKCm3umpjjDHGmEAVkgn10V1a+jsEwsKE647pzLx7xtIvPeng9se+XE23e7487FR54WHCneN78twlA4mNDOeThdu44L+z2Z5T7KvQjTHGGGOMG0IyoX7mol/rqBds3u/HSBwlKFNvHs0bVw89ZPtlr87lslfmHnYA4un92vLx744mvXksS7NzOfO5mczduM8XIRtjjDHGGDeEZELdKiH64NeXveLbOurDGdMjlVUPjufa0Z0Obpu5fi+jH/+ep79ZW2dZR6+2iXx+82hGd01hb0EZl74yl282l1tdtTHGGGNMAAnJhLqm4gCqP46NCuevp/di+q3H0Dbp18GTT3+zjl5/m8705Tt/kyw3j4vijauHMvHYzlRUKe+sKuPOj5dSWhE412WMMcYY05SFbEI9umuKv0M4rJ6tE5l55wk8fFafg9uqFG58ZwGXvjKX9bsLDtk/IjyMu089imcuGkBkGEyen82F/53DztwSX4dujDHGGGNqCdmEuuZ81O/O3ezHSOoWFiZcNqIj8+4eyyl9Wh/cPmvDPk785w888r+V5JccutrihAHtuGd4DO2SY1m8NYcznpvJ/Cz/1ogbY4wxxjR1h02oReTfLjwe9mWw7mgRF3Xw63s+Xe7HSI4sNTGG/1w2mNevGkpcVPjB7S//tInhf/+WjxdkH7LaYkZSOFNvHsXIzi3Zk1/KxS/PCcgPDMYYY4wxTcWReqgnAAvqeZzr7QAbo+Yy5MVlgV1zfHzPVH6590RuOK7zwW1FZZX8+cMlnPfiLJZl5x7c3jI+mreuHcbVozIor1Tu+XQ5kz5ZRllF3fNbG2OMMcYY7zlSQv0vVX3zSA/gv/W9gYiEi8giEfnC+fz/27vv6CirrY/j350CoaMSEQUNIgRBadIUlICoNDv2rlcs2PVeQX0R9FK8yrUB9t4QO1JUBKMCAgrSL01BRVFEUQhiILDfP+bJEJAkg5PJpPw+a83KnPOU2SdhZe0c9nPO3mY2ycyWB1/3ynNufzNbYWZLzeyEaAf34mXtwu+7/vfjaG8Xc5UrJNG/+6FMuO5omudZu3rOt6HyjkHvLiInmK1OTkzgzhObMvyM5lRISuCVWd9yzhMzWLtBddUiIiIixamghPr1/A6Y2YkA7v5ABJ9xPfC/PO1+wGR3bwhMDtqYWRPgbKAp0A0YZWaJRCEpccfwvi9FG6M02b86b17dgbtObrpT/zPTVjF05p+s3bgjaT79iLq8fuWR1KmRwuxv1nPiiKnM+XZ9cYcsIiIiUm4VlFBPNrO0XTvN7FLggUhubmZ1gZ7Ak3m6TwaeC94/B5ySp3+0u2e7+0pgBdA2ks8pSN4NVTKXro32dsUmMcG48Mg0Zt52LD0O3/HQ4le/b6ft4MnM/mZH0tysbk3GXtORtml789OGbM5+bAZjPv8uHmGLiIiIlDsFJdQ3ApPMrGFuh5n1D/o7RXj/B4B/AXmLe2u7+xqA4Ou+Qf8BQN4scHXQF5WM9H3D7y9+5vNob1fsaldPYdR5R/DURa2pkLTjx3X6I9N57OOvwutWp1aryEuXt+PCIw9iy7bt/OuN+Qx4ZyFbt6muWkRERCSWkvI74O4TzCwbmGhmpwD/ANoAx7h7oTUFZtYLWOvus80sI4JYbHdh7Oa+fYA+AKmpqWRmZhZ641qVjHWbQ7eaPOUjEhN291ElWyLwUEYKoxdtInNNKP6hE5fw8IdL+G9GZSokhvq61ICkwyrw/KItPP/ZN8xY8h19W6RQo2LpG3OurKysiH7OZYnGLCIiUnpYYdtYm1lH4G1gOnCmu0f01JuZDQUuAHKAFKA68CahpDzD3deYWR0g093Tg9lv3H1ocP37wEB3/yy/z0hPT/elS5cWGsufW7fR+P/eA0Irf4zuc2QkQyiRMjMzqdWwJb0enrpT//s3HEP6ftXC7S+/Xc+VL87mpw3Z1KmRwqPnH0HzejWLOdqikZmZSUZGRrzDKFYac/lgZrPdvXW84xARkegUtA71RjPbAEwklAwfC6zN018gd+/v7nXdPY3Qw4ZT3P18YCxwUXDaRcA7wfuxwNlmVtHM6gMNgVl/c1w7SUne8WzjjK9L/0Yohx1Qg6+G9ODM1nXDfSc88AnPf7Yq3G554F68e21HjjhoL9b8/idnPPYZb8xeHYdoRURERMq2fBNqd6/m7tWDrxXcvUqedvUoPnMYcJyZLQeOC9q4+yJgDLAYeA/o6+5Ftnj0f3o3C7//qBQ9nJifxATjP72b807fDuG+Ae8s4tRR08J11ftWS+GVy9tzbrsD2ZKznZtfm8egdxeprlpERESkCBXL1uPununuvYL3v7j7se7eMPj6a57zBrt7A3dPd/eJRRnDma3rhd9fUgofTsxP83o1WThox5LdX377G/X7T2BDsG15haQEhpx6OENOPZzkROOZaau44KmZ/JKVHa+QRURERMqUgko+5hR2cSTnlCS3HN8o/P6/HxRee11aVK2YxMqhPWhXf8fOkM0GfrDTetTntjuQ0X3ak1qtIjO+/pWTRkxj4fe/7+52IiIiIrIHCpqhPtTM5hfwWgDUKq5Ai8I1XcIrAPLQlBXh0oiywMx49YojGXLq4eG+00ZN58EPl4fbRxy0N+Ou7UiLejX5/rfN9H50Ou/M/T4e4YqIiIiUGQUl1I2BEwt49QKOinWARW3MFTtW+CgN25HvqXPbHciHNx0Tbt//4TI63jOF7cGW5bWrp/DqFe05s3Vd/ty6netHz2Xw+MXkqK5aRERE5G8p6KHEbyJ4lbplI9rmKYv46udN/LElJ47RxMYh+1Zjyd3dwu3V6zdz8G0TWBfUTVdMSuSe05tx98lNSUownvh0JRc9M4v1m7bEK2QRERGRUqtYHkosaWbf0TX8vsmA9+MYSeykJCeyalhPejWrE+5r/e8P+WTZz0CoROSCI9N4+fL21KpagWkrfuHEEVNZ/EOhKyKKiIiISB7lMqHep2rFnXZLXPbTxjhGE1sjzm3FyHNbhdsXPj2LO99ZGG63rb83Y6/pSLO6NVi9fjOnPzKdcfN/iEeoIiIiIqVSRAm1mR1kZl2D95XMrFph15R0y//dPfz++Ps/iWMksdezWR2m9esSbj/32Tc0un1iuG56/5qVGHPFkZzeqi6bt27jmpe/ZNjEJWzbXnYe2hQRERGJlUITajO7HHgdeCzoqktoK/JSLSHB6H3Ejp0Gr3m5VK0AuMcOqFmJFYO7UzEp9CPfsm07h9w+ke9/2wyESkTuO6MZd57YhMQE49GPv+KSZz/n9z+2xjNsERERkRIvkhnqvkAHYAOAuy8H9o1lUMXlvjOah9+Pm7+G2d+sL+Ds0i8pMYGl/+7OxUelhfs6DJvC+PlrgFBd9SUd6vPiZe3Yu0oFPln2MyeNnMrSH8tuSYyIiIhItCJJqLPdPbz8g5klAWWmFmDegOPD709/ZHq52JZ74ElNef7StuF235fn7DRDf2SDfRh7TQea7l+db375g1NHTWPigjXxCFVERESkxIskof7YzG4DKpnZccBrwLuxDav41KiczINntwi3G95epDuel1jHNErdabWTcfPXkNZvPNk52wCou1dlXr/yKE5psT9/bNnGVS/N4b73l6quWkRERGQXkSTUtwI/AwuAK4AJwB2xDKq4ndziAOrXqhJun/XYZ3GMpvjsU7UiK4f2oO5elcJ96Xe8x4q1WQBUqpDI/We14I6eh5JgMOKjFVz+/Bf8vll11SIiIiK5CkyozSwBWODuT7j7Ge7eO3hf5qYpP7olI/x+5spfyVy6Nn7BFCMzY+qtXbjpuEbhvq7//ZiXZ34bPv6Pow/m+UvbUbNyMlOWrOWUkdNYsVZ11SIiIiJQSELt7tuBeWZ2YDHFE1f/u2vH7oIXP/M5m7LL3i6K+bnu2Ia8dfWOneRve2sBZz32Gbl/O3VsWIt3r+lI4/2qsXLdJk4ZOZ0PFv0Yr3BFRERESoxISj7qAIvMbLKZjc19xTqweKhUIZFnL2kTbje98/1y8ZBirpYH7sWCgTse0py58lfq958Q/sOi3t6VefPqo+jVrA5Z2Tn0eWE2909axnbVVYuIiEg5FklCPQjoBdwFDM/zKpMy0vel+2H7hdsNb59Yrh7Eq5aSzMqhPWh1YM1wX9M732f+6t8AqFwhiYfPaUm/7o0xgwcnL6fPC7PZ+KfqqkVERKR8KjShdvePd/cqjuDi5ZHzj6BFvZrhdoPbJpSrWVgz482rO3D3yU3DfSeNmMaozBXh41d2asCzl7SlekoSH/7vJ04ZOY2vfs6KV8giIiIicRPJTokbzWxD8PrTzLaZ2YbiCC6e3u7bgYb7Vg23D75tAmXwWcwCXXBkGh/ceEy4/Z/3ltJleGb4+9CpUSpjr+lIo9pV+ernTZwyYhqT//dTvMIVERERiYtIZqiruXv14JUCnA6MKOw6M0sxs1lmNs/MFpnZoKC/hZnNMLO5ZvaFmbXNc01/M1thZkvN7IRoBlYUJt3UiTo1UsLt+v3LX1LdqHY1lty942HNr3/eRP3+E1i/KbTXT1qtKrx1dQe6H7YfG7Nz+MfzX/Dw5OXlakZfREREyrdIaqh34u5vA10iODUb6OLuzYEWQDczaw/8Bxjk7i2AAUEbM2sCnA00BboBo8wscU/jK2qf9T+WailJ4XZ5TKpTkhNZNawnxzepHe5refckpn+1DoAqFZMYdV4r/nlCOgDDJy3j6pfmkFWOVkkRERGR8iuSko/T8rx6m9kwIth63ENyi2qTg5cHr+pBfw3gh+D9ycBod89295XACqAtJcCCgSdgtqNdv/+EcvkQ3uMXtt5pV8lzn5jJ4PGLgVBddd/Oh/DURa2plpLEe4t+5NSR01i1blOcohUREREpHlbYbKuZPZOnmQOsAp5w90J3PglmmGcDhwAj3f1WMzsUeB8wQgn9Ue7+jZmNAGa4+4vBtU8BE9399V3u2QfoA5CamnrEmDFjIhpoUbj4vZ2TwwHtUzi4ZvFOomdlZVG1atXCT4yhn//Yzj8/2RxupyTCqK6VSQj+6vhx03YemvMnP2xyKifBlc0r0iw1Kb/bFaokjLm4aczlQ+fOnWe7e+t4xyEiItGJJKHu4O7TCusr5B41gbeAawklwx+7+xtmdibQx927mtlI4LNdEuoJ7v5GfvdNT0/3pUuXRhpGkej70hzGL1gTbt9yfCOu6dKw2D4/MzOTjIyMYvu8/ORs207DOyaS95/PjP7Hsl9Qc77xz63cNGYekxb/hBn884R0rurUAMs71R+hkjLm4qQxlw9mpoRaRKQMiKSG+uEI+/Ll7r8BmYRqoy8C3gwOvcaOso7VQL08l9VlRzlIiTHyvFY8fE7LcPu+D5bR6d6P4hhRfCQlJrByaE/ObbdjE832QyfzfrB7YrWUZB47/whu6NoQ99AKIde88iV/bFFdtYiIiJQt+SbUZnakmd0MpJrZTXleA4FC6xzMLDWYmcbMKgFdgSWEkuROwWldgOXB+7HA2WZW0czqAw2BWX9vWLF1YvP9mXpr53D7m1/+IK3f+HL3sCLAkFMP55k8u0te8cJsbnp1LgAJCcYNXRvxxIWtqVoxifHz13DaqOl8+8sfcYpWREREpOgVNENdAagKJAHV8rw2AL0juHcd4CMzmw98Dkxy93HA5cBwM5sHDCGoh3b3RcAYYDHwHtDX3bf9nUEVh7p7VWbF4O479dXvP4Evv10fp4jip3P6vnx+e9dw+80vvyet33i25IS2bT+uSW3e7tuBg2tVYcmPGzlxxFQ+Xf5zvMIVERERKVKR1FAf5O7fFFM8eyQeNdS70/D2CWzdtuP7eHCtKky5JSMmn1WS60zdnXZDJrN2Y3a476NbMqhfqwoAG/7cyg2j5zJlyVoSDPp1b8zlRx9caF11SR5zrGjM5YNqqEVEyoZIaqj/MLN7zWyCmU3JfcU8slJk+eAeDD71sHD763WbSOs3vtyVNpgZs27vyrVdDgn3db4vk9e++A6A6inJPHlha67tcgjbHYZMWML1o+eyeUuJ/Y8IERERkUJFklC/RKj2uT4wiNCyeZ/HMKZS6bx2B+20oyDAMfd+RJ/nv4hTRPFz8/HpvH7lkeH2P1+fzwVPzQRCddU3H5/Oo+e3okqFRMbO+4HTH5nOd7+Wrz8+REREpOyIJKHex92fAra6+8fufinQPsZxlUq5OwpeldEg3PfB4p9I6zeeH37bXMCVZU/rtL2ZP/D4cPvT5etI6zc+PBvd7bA6vNW3A2n7VGbxmg2cNGIqU5evi1e4IiIiIn9bJAl17paAa8ysp5m1JLSkneTj1m6N+fL/jtup76hhU2hwW/natrx6SjIrh/bgsAOqh/sOHfAei374HYBGtavxTt+OdGqUyvo/tnLB0zN54MNlbNtefr5HIiIiUvpFklD/28xqADcDtwBPAjfGNKoyYK8qFVg1rCcnNd8/3Ldtu1O//wT++0H8H6QsLmbGuGuPZkCvJuG+ng9N5YlPvgagRuVknr64DdcfG9oc54EPl3PR07NYl5W92/uJiIiIlDQFJtTB1uEN3f13d1/o7p3d/Qh3H1tM8ZV6D53T8i+11Q9NWUFav/Hhmdry4NKO9Zl4/dHh9uAJ/6PbA5/g7iQmGDce14jnL23LPlUqMHXFOno8+Ckzv/4ljhGLiIiIRKbAhDpYB/qkYoqlzMqtrX67b4ed+ns+NJW0fuPZ8OfWfK4sWw6tU32nPy6W/LiR+v0n8PsfofEf3TCV8dcdTZu0vVi7MZtzn5zJI5lfsb0clcmIiIhI6RNJycd0MxthZkebWavcV8wjK4Na1KvJqmE9ufzo+jv1Nxv4wU4P7JVluX9cdE5PDfc1v+uD8Gz0fjVSeOXy9lzZqQHbtjv3vLeEB+dks37TlniFLCIiIlKgSBLqo4CmwF3A8OB1XyyDKutu79mEr4f0IGGX/UwOHfAeaf3Gk51T9hPrZy5py3/PbB5un/X4DAaPXwxAUmIC/bo35qmLWlOjUjLzft5Gr4enlstdKEVERKTkKzShDuqmd311KY7gyrKEBOProT3/Ul8NkH7HezS6YyI527bHIbLic1qrunz8z4xw+4lPV9Lw9gnhcR97aG3GX9eRg2sk8P1vmznzsc94eurKcrVSioiIiJR8hSbUZlbbzJ4ys4lBu4mZXRb70MqH3BKIBXnWbAbYkrOdQ26fSFq/8WW63OGgfaqwYnB3cncf37rNOeT2iXzzyyYA6u5VmdvapXBJhzS2bnPuGreYq16cU27qzkVERKTki6Tk41ngfSB3/bdlwA0xiqfcqpaSzKphPf+yfjVAy7snkdZvPAu/L5urgiQlJrByaE8u7bCjtrzTvZmMnvVt6HiCceeJTXnkvFZUq5jEe4t+pNdDU8vs90NERERKl0gS6lruPgbYDuDuOUDZL/KNk9z1q+cNOP4vx3o9PJWL39vEm3NWxyGy2BtwYhNe7bNjE85+by7glJHTwiUe3Q+vw7vXdqRJnep8++sfnPbIdF6c8Y1KQERERCSuIkmoN5nZPoADmFl7QFODMVajcmjG+qshPUivXW2nYzeNmUdav/H0fOjTMldn3e7gfXbasnzud79xyft/8NsfobKXtFpVePPqozi33YFsydnOHW8v5PrRc8nKzolXyCIiIlLORZJQ3wSMBRqY2TTgeeDamEYlYYkJxvs3HsOqYTuXRAAs+mFDuM569je/xinColc9KH85qsE+4b4Wd01i2op1QKjufMiph/PAWS2oXCGRsfN+4KQRU1ny44Z4hSwiIiLlWCSrfMwBOhFaPu8KoKm7z491YPJXA05swrPdqvDMJW3+cuz0Rz4jrd94Ln32c7ZvLxslEC9f3p7hZ+xYWu+8J2dy+1sLwu1TWh7A2Gs60qh2Vb7+eROnjJzGa198F49QRUREpByLZJWPFOA64G5gENA36JM46Zy+L6uGhZbcq1294k7HpixZy8G3TSCt33je/vL7OEVYdE4/oi73daoUbr8081vS+o1nS06o1OWQfavydt8OnN6qLn9u3c4/X5/PP1+bVy42yREREZGSIZKSj+cJbezyMDACaAK8UNhFZpZiZrPMbJ6ZLTKzQXmOXWtmS4P+/+Tp729mK4JjJ+z5cMqXlOREZt7WlVXDenJv72Z/OX7Dq3NJ6zeetH7jWbVuUxwiLBq1KiXw1ZAe1KiUHO5rdMdElv+0EYDKFZIYfmZz/nN6MyomJfDa7NWcMnIaX/2cFa+QRUREpByJJKFOd/fL3P2j4NUHaBTBddlAF3dvDrQAuplZezPrDJwMNHP3pgS7LppZE+BsQsl7N2CUmSXu+ZDKpzNa12PVsJ78765uNEit8pfjGfdlktZvPO2GfFgq17VOTDDm3Xk813Y5JNx33P2f8PTUleH2mW3q8XbfDtSvVYWlP23kpIenMnbeD/EIV0RERMqRSBLqL4OVPQAws3bAtMIu8pDcKcLk4OXAVcAwd88OzlsbnHMyMNrds919JbACaBvxSASAShUSmXxzBquG9eT9G475y/GfNmSH17U+dngmG0vZBik3H5/O2307hNt3jVvMSSOmhtuH1qnO2Gs60KtZHTZt2cZ1r3zJwLGLwiUiIiIiIkUtkoS6HTDdzFaZ2SrgM6CTmS0wswIfTjSzRDObC6wFJrn7TEKz20eb2Uwz+9jMcp+wOwDI+0TZ6qBP/qb0/aqxalhPVg3ryZBTD//L8a9+3sThAz8grd94ugzP5NdSMnPdol5NFt+1oyJo/urfSes3nq3BEoLVUpJ5+JyWDDqpKcmJxrPTV3HOEzP48fc/4xWyiIiIlGFW2KYYZnZQQcfd/ZtCP8SsJvAWoeX2RgNTgOuBNsCrwMGE6rM/c/cXg2ueAia4+xu73KsP0AcgNTX1iDFjxhT28WVKVlYWVatWjeoe47/ewmvLCp6Z/neHStStFsnfW7FX0JiHzNzMsvU7Zp8f6FyJmhV3xL1i/TZGzs1mfbZTvQJc1TyFQ/cp+ZVERfFzLm3K45g7d+48291bxzsOERGJTqEJNYCZ7QXUA5Jy+4Ll9CL/ILM7gU1AV0IlH5lB/1dAe+AfwX2HBv3vAwPd/bP87pmenu5Lly7dkzBKvczMTDIyMorkXu7O8A+WMeKjFQWed8/ph3NWmwOL5DP/jsLGfP+kZTw4eXm4/ebVR9HqwL3C7XVZ2Vz3ypdM/+oXEgz+1a0xVxxzMGYWy7CjUpQ/59KiPI7ZzJRQi4iUAZEsm3c3MB94CBgevO6L4LrUYGYaM6tEKJFeArwNdAn6GwEVgHWENo8528wqmll9oCEwa49HJBEzM245IT1cFnLP6X8tCwG49Y0F4dVCTh01LbxrYUlx43GNeOqiHTnJaaOm88qsb8PtWlUr8sJl7bg6owHbHYZNXMIVL8xmQymrHxcREZGSKanwUzgTaODue5pF1QGeC1bqSADGuPs4M6sAPG1mC4EtwEUemiZfZGZjgMVADtDX3bWYcDE6q82B4ZnoL1b9Su9H//qfA19++xst7poUbvfv3pg+JWC299hDa/PRLRl0vi8zFNebC/hi1XqGnxnaGCYxwfhXt8a0qFeTm8fM44PFP3HyiGk8cn4rGu9XPY6Ri4iISGkXSQ31G8BVeVbjKDFU8lE8srJzuOrF2Xy6fF2h5z5/aVuOaZRapJ+/J2PelJ1D0zvfD7fPOKIu9+bZbRFg1bpNXPnibJb8uJFKyYncd0ZzejarU5QhR608lj+UxzGr5ENEpGyIZIZ6KKGl8xYSWlsaAHc/KWZRSYlStWISL1zWLtweN/8Hrnn5y92ee+HTO1fpPHVRa449tHZM48urSsUkVg7tQf3+EwB4bfZq6u1dmeuObRg+J61WFd66ugO3v72AN+d8T9+X5/D9b425/Oj4z7SLiIhI6RNJQv0ccA+wANBivkKvZvvTq9n+AGzdtp2hE5bw9LSVuz33sue+2Kl983GNuCqjAUmJsVtBxMx2Sqr/O2kZ+9VI4czW9cLnVKqQyPAzmtOodjWGTVzCkAlL+H79Zgac2JTEBCXVIiIiErlIEup17v5QzCORUik5MYEBJzZhwIlNANjw51b6v7mA8fPX7Pb84ZOWMXzSsnD7kH2r8p/ezXZalaMomBnLB3en4e0TAfjX6/Pp1awOlSsk7XTOlZ0aUKdGCv98bT7PffYNa37/kwfPbkmlCiV/aT0REREpGSJJqGeb2VBCq3DkLfnYo2XzpHyonpLMyHNbMfLcUDsrO4dBYxfx2uzVuz1/xdosThs1fae+xvtVY0CvJhx1SK2oYklOTGDRoBPCNdVXvzSHZy/56+abJ7c4gNrVU+jz/Bd8sPgnLhz5MS8sf5OUF5+HrCyoWhXOPx9uvhkaNIgqJhERESl7IkmoWwZf2+fpc4Kl70QKUrViEvee0Tz8YKC789aX33PTmHn5XrPkx42c++TMnTvfG0+XxvvSt3MDWh24V8S1zlUqJnFAzUp8/9tmMpf+nO957Q/ehzeuOooLR33C5z9t5pYfqvLQxiwScNi4EZ58Ep57Dl5/Hbp3j+izRUREpHwoNKF2987FEYiUD2bGaa3qclqruuG+Tdk5PDh5OY9/8nWB105ZspYpS/JfbKZKhURaHFiTQ/erjgMLVv/OrFW/Rhxbw6y1PPPMzfQ+/W7GNT6ag3/5jpumvhw6uHVr6NW7N8yfr5lqERERCSs0oTaz2sAQYH93725mTYAj3f2pmEcn5UKViknc1uNQbutxaLgvZ9t2Xv3iO4ZNXMLGP3Mius+mLduYtuIXpq34ZbfHJ9/cqeAbDB9O4x+/ZsQ7w7i0952Man8mF80exz6bN+w4Z+tWuP9+GDEiophERESk7ItkqYVngfeB/YP2MuCGGMUjAkBSYgLntTuIBQNP4NluVcK7Oa4c2oPXrjySM1vXJdIV7q7KaMDXQ3rQILVqwSe++CJs3UrGyjl0WjmHnMQkxh16zM7nbN0KL7zw9wYlIiIiZVK+M9RmluTuOUAtdx9jZv0B3D3HzLSDocSFmdEmbW/apO3Nf3o3L/yCPZGVFX57yqKP+KJuEzYlpxR4noiIiEhBJR+zgFbAJjPbh9CDiJhZe+D3YohNpHhVrRp6ABHovnQ6JyyfQUrOlt2fJyIiIhIoqOQj9z/UbyK0ZF4DM5sGPA9cG+vARIrd+edDcjIAFbbn7D6ZTk6GCy4o5sBERESkJCtohjrVzG4K3r8FTCCUZGcDXYH5MY5NpHjdfHNoabytW/M/JzkZbryx+GISERGREq+gGepEoCpQDahCKPlOBCoHfSJlS4MGoXWmK1cOz1SHJSeH+l9/XUvmiYiIyE4KmqFe4+53FVskIiVB9+6hdabvvz+0mkfuTokXXBCamVYyLSIiIrsoKKGOcFEykTKmQYPQOtNaa1pEREQiUFDJx7HFFoWIiIiISCmVb0Lt7pHv2SwiIiIiUk5FslPi32JmKWY2y8zmmdkiMxu0y/FbzMzNrFaevv5mtsLMlprZCbGKTURERESkqBRUQx2tbKCLu2eZWTIw1cwmuvsMM6sHHAd8m3uymTUBzgaaEtrm/EMza+Tu2pVRREREREqsmM1Qe0juHs3JwcuD9v3Av/K0AU4GRrt7truvBFYAbWMVn4iIiIhIUYhZQg1gZolmNhdYC0xy95lmdhLwvbvP2+X0A4Dv8rRXB30iIiIiIiVWLEs+CMo1WphZTeAtM2sG3A4cv5vTd7dMn//lJLM+QB+A1NRUMjMziyze0iArK0tjLgc0ZhERkdIjpgl1Lnf/zcwyCZV11AfmmRlAXWCOmbUlNCNdL89ldYEfdnOvx4HHAdLT0z0jIyOmsZc0mZmZaMxln8YsIiJSesRylY/UYGYaM6sEdAW+dPd93T3N3dMIJdGt3P1HYCxwtplVNLP6QENgVqziExEREREpCrGcoa4DPGdmiYQS9zHuPi6/k919kZmNARYDOUBfrfAhIiIiIiVdzBJqd58PtCzknLRd2oOBwbGKSURERESkqMV0lQ8RERERkbJOCbWIiIiISBSUUIuIiIiIREEJtYiIiIhIFJRQi4iIiIhEQQm1iIiIiEgUlFCLiIiIiERBCbWIiIiISBSUUIuIiIiIREEJtYiIiIhIFJRQi4iIiIhEQQm1iIiIiEgUlFCLiIiIiERBCbWIiIiISBSUUIuIiIiIREEJtYiIiIhIFJRQi4iIiIhEQQm1iIiIiEgUYpZQm1mKmc0ys3lmtsjMBgX995rZEjObb2ZvmVnNPNf0N7MVZrbUzE6IVWwiIiIiIkUlljPU2UAXd28OtAC6mVl7YBJwmLs3A5YB/QHMrAlwNtAU6AaMMrPEGMYnIiIiIhK1mCXUHpIVNJODl7v7B+6eE/TPAOoG708GRrt7truvBFYAbWMVn4iIiIhIUUiK5c2DGebZwCHASHefucsplwKvBu8PIJRg51od9O16zz5AH4DU1FQyMzOLOOqSLSsrS2MuBzRmERGR0iOmCbW7bwNaBHXSb5nZYe6+EMDMbgdygJeC0213t9jNPR8HHgdIT0/3jIyMGERecmVmZqIxl30as4iISOlRLKt8uPtvQCah2mjM7CKgF3Ceu+cmzauBenkuqwv8UBzxiYiIiIj8XbFc5SM1dwUPM6sEdAWWmFk34FbgJHf/I88lY4GzzayimdUHGgKzYhWfiIiIiEhRiGXJRx3guaCOOgEY4+7jzGwFUBGYZGYAM9z9SndfZGZjgMWESkH6BiUjIiIiIiIlVswSanefD7TcTf8hBVwzGBgcq5hERERERIqadkoUEREREYmCEmoRERERkSgooRYRERERiYISahERERGRKCihFhERERGJghJqEREREZEoKKEWEREREYmCEmoRERERkSgooRYRERERiYISahERERGRKCihFhERERGJghJqEREREZEoKKEWEREREYmCEmoRERERkSgooRYRERERiYISahERERGRKCihFhERERGJQswSajNLMbNZZjbPzBaZ2aCgf28zm2Rmy4Ove+W5pr+ZrTCzpWZ2QqxiExEREREpKrGcoc4Gurh7c6AF0M3M2gP9gMnu3hCYHLQxsybA2UBToBswyswSYxifiIiIiEjUYpZQe0hW0EwOXg6cDDwX9D8HnBK8PxkY7e7Z7r4SWAG0jVV8IiIiIiJFIaY11GaWaGZzgbXAJHefCdR29zUAwdd9g9MPAL7Lc/nqoE9EREREpMRKiuXN3X0b0MLMagJvmdlhBZxuu7vFX04y6wP0CZrZZrYw6kBLl1rAungHUcw05vKhPI45Pd4BiIhI9GKaUOdy99/MLJNQbfRPZlbH3deYWR1Cs9cQmpGul+eyusAPu7nX48DjAGb2hbu3jmnwJYzGXD5ozOWDmX0R7xhERCR6sVzlIzWYmcbMKgFdgSXAWOCi4LSLgHeC92OBs82sopnVBxoCs2IVn4iIiIhIUYjlDHUd4LlgpY4EYIy7jzOzz4AxZnYZ8C1wBoC7LzKzMcBiIAfoG5SMiIiIiIiUWDFLqN19PtByN/2/AMfmc81gYPAefMzjfy+6Uk1jLh805vKhPI5ZRKTMMfe/PPcnIiIiIiIR0tbjIiIiIiJRKBUJtZl1C7YjX2Fm/XZz3MzsoeD4fDNrFY84i1IEYz4vGOt8M5tuZs3jEWdRKmzMec5rY2bbzKx3ccYXC5GM2cwyzGyumS0ys4+LO8aiFMG/6xpm9q6ZzQvGe0k84ixKZva0ma3Nb4nPsvj7S0SkvCnxCXXwUONIoDvQBDgn2KY8r+6EVgVpSGiN6keKNcgiFuGYVwKd3L0ZcDelvBYzwjHnnncP8H7xRlj0IhlzsFLOKOAkd29K8BBvaRThz7gvsNjdmwMZwHAzq1CsgRa9ZwktGZqfMvX7S0SkPCrxCTWh7cdXuPvX7r4FGE1om/K8TgaeD7Y7nwHUDNa4Lq0KHbO7T3f39UFzBqF1u0uzSH7OANcCb7Bj/fLSLJIxnwu86e7fArh7aR53JON1oJqZGVAV+JXQqj+llrt/Qmgc+Slrv79ERMqd0pBQR7IleVnbtnxPx3MZMDGmEcVeoWM2swOAU4FHizGuWIrk59wI2MvMMs1stpldWGzRFb1IxjsCOJTQpk4LgOvdfXvxhBc3Ze33l4hIuVMsOyVGKZItySPatrwUiXg8ZtaZUELdMaYRxV4kY34AuNXdt4UmMEu9SMacBBxBaKnJSsBnZjbD3ZfFOrgYiGS8JwBzgS5AA2CSmX3q7htiHFs8lbXfXyIi5U5pSKgj2ZI8om3LS5GIxmNmzYAnge7B+t6lWSRjbg2MDpLpWkAPM8tx97eLJcKiF+m/7XXuvgnYZGafAM2B0phQRzLeS4BhHlrPc4WZrQQaU7Z3TS1rv79ERMqd0lDy8TnQ0MzqBw8nnU1om/K8xgIXBk/Ltwd+d/c1xR1oESp0zGZ2IPAmcEEpna3cVaFjdvf67p7m7mnA68DVpTiZhsj+bb8DHG1mSWZWGWgH/K+Y4ywqkYz3W4KNn8ysNpAOfF2sURa/svb7S0Sk3CnxM9TunmNm1xBa1SEReDrYpvzK4PijwASgB7AC+IPQLFepFeGYBwD7AKOCGdscd28dr5ijFeGYy5RIxuzu/zOz94D5wHbgSXff7fJrJV2EP+O7gWfNbAGhUohb3X1d3IIuAmb2CqEVS2qZ2WrgTiAZyubvLxGR8kg7JYqIiIiIRKE0lHyIiIiIiJRYSqhFRERERKKghFpEREREJApKqEVEREREoqCEWkREREQkCkqopUBmtp+ZjTazr8xssZlNMLNGcY7phmBN5j297mIz2z9P+0kza1IE8Qw0s+/N7K5o71XI51xsZiPytOuY2QdmlmZmC4O+1mb2UPA+w8yO+hufc3Twsy6Vy/OJiIgUNyXUki8LLXD9FpDp7g3cvQlwG1A7vpFxA7DbhNrMEgu47mIgnFC7+z/cfXERxXS/uw8oontFqhuhNZ3D3P0Ld78uaGYAe5RQm1mSu39KaF1kERERiYASailIZ2Br3k1V3H2uu38a7Op2r5ktNLMFZnYWhGdFM83sdTNbYmYvBYk5ZtbGzKab2Twzm2Vm1cwsMbjP52Y238yuKOg+ZnYdoaT4IzP7KDg3y8zuMrOZwJFmNiC430Izezy4rjehrctfMrO5ZlYpuH/r4B7nBONYaGb35I43uPfgIOYZwe59BTKzVDObZGZzzOwxM/vGzGoFM8lLgpnxhcGYuprZNDNbbmZtg+v3NrO3g+/HDAttMb873YCJu3x2hpmNM7M04ErgxmC8RwdxvRF8bz43sw7BNQOD79MHwPOFjU9ERER2poRaCnIYMDufY6cBLYDmQFfgXjOrExxrSWgWuQlwMNDBQltNvwpc7+6512wGLiO01XIboA1wuZnVz+8+7v4Q8APQ2d07B+dVARa6ezt3nwqMcPc27n4YUAno5e6vA18A57l7C3ffnDuQoAzkHqBLMKY2ZnZKnnvPCGL+BLg8gu/bncAUd29FaIb/wDzHDgEeBJoBjYFzgY7ALYRm/wEGAV+6e7Og7y9JbjATn57fDLu7rwIeJTRz3iKYdX4waLcBTgeezHPJEcDJ7n5uBOMTERGRPEr81uNSYnUEXnH3bcBPZvYxoYR4AzDL3VcDmNlcIA34HVjj7p8DuPuG4PjxQLNgBhmgBtAQ2JLPfabuJpZtwBt52p3N7F+EykL2BhYB7xYwljaEylp+Dj7rJeAY4O0gjnHBebOB4wr8roR0BE4Nxvmema3Pc2yluy8IPmcRMNnd3UJbbafluf704PopZraPmdXY5TPaATMjiCWvrkCT4D8MAKqbWbXg/di8f2SIiIhI5JRQS0EWAb3zOWb59ANk53m/jdC/MwN2t8+9Ade6+061wGaWkc99dufPILHHzFKAUUBrd//OzAYCKQXEmhtDfra6e27cBcUQ6f3yjml7nvb2PPfe3fW7fu+6A+9FEEteCcCRuybOQYK9aQ/vJSIiIgGVfEhBpgAVzSxc5hDUQXciVP5wVlADnUpoRndWAfdaAuxvZm2C+1QzsyRCD9VdZWbJQX8jM6tSSFwbgWr5HMtNnteZWVV2/oMgv+tmAp2COudE4Bzg40JiKMhU4EwIz8DvtYfXfwKcF1yfAazLndHP41hgciH32XW8HwDX5DbMrMUexiUiIiK7oYRa8hXMzJ4KHGehZfMWAQMJ1TC/BcwH5hFKvP/l7j8WcK8twFnAw2Y2D5hEKPl9ElgMzLHQMm2PUfgs8OPAxNyHEnf5nN+AJ4AFhEo2Ps9z+Fng0dyHEvNcswboD3wUjGeOu79TSAwFGQQcb2ZzCM0kryGU3EZqINDazOYDw4CL8h4M/oD5czdJ9q7eBU7NfSgRuC73vma2mNBDiyIiIhIl2/G/2SLydwRlJVnufl/Qrghsc/ccMzsSeMTdWxTh550P1HX3YUV1z918RhowLniwU0RERAqgGmqR6GUBfcyserAW9YHAGDNLIPRQYyQrg0TM3V8syvvtKpjNHgWsi+XniIiIlBWaoRYRERERiYJqqEVEREREoqCEWkREREQkCkqoRURERESioIRaRERERCQKSqhFRERERKKghFpEREREJAr/DwYR39tZ3z6bAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#@title CSTR Simulation { run: \"auto\", vertical-output: true }\n", "T_cooling = 304.4 #@param {type:\"slider\", min:290, max:305, step:0.1}\n", "ax = []\n", "Tc = T_cooling\n", "tsim, profiles = Simulator(cstr(), package='scipy').simulate(numpoints=100)\n", "ax = cstr_plot(tsim, profiles, ax);" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "colab": { "name": "Exothermic_CSTR.ipynb", "provenance": [], "version": "0.3.2" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }