{ "nbformat": 4, "nbformat_minor": 0, "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": "3.7.9" }, "colab": { "name": "1001_Wave Equation.ipynb", "provenance": [], "include_colab_link": true } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "CDO6MV51DoQN" }, "source": [ "# Wave Equation\n", "#### John S Butler john.s.butler@tudublin.ie [Course Notes](https://johnsbutler.netlify.com/files/Teaching/Numerical_Analysis_for_Differential_Equations.pdf) [Github](https://github.com/john-s-butler-dit/Numerical-Analysis-Python)\n", "\n", "## Overview\n", "This notebook will implement the Forward Euler in time and Centered in space method to appoximate the solution of the wave equation.\n", "\n", "## The Differential Equation\n", "Condsider the one-dimensional hyperbolic Wave Equation:\n", "\\begin{equation} \\frac{\\partial u}{\\partial t} +a\\frac{\\partial u}{\\partial x}=0,\\end{equation}\n", "where $a=1$, with the initial conditions\n", "\\begin{equation} u(x,0)=1-\\cos(x), \\ \\ 0 \\leq x \\leq 2\\pi. \\end{equation}\n", "with wrap around boundary conditions.\n", "\n" ] }, { "cell_type": "code", "metadata": { "id": "v8FbXNtIDoQQ" }, "source": [ "# LIBRARY\n", "# vector manipulation\n", "import numpy as np\n", "# math functions\n", "import math \n", "\n", "# THIS IS FOR PLOTTING\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt # side-stepping mpl backend\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n" ], "execution_count": 1, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "nvUNuPPPDoQR" }, "source": [ "## Discete Grid\n", "The region $\\Omega$ is discretised into a uniform mesh $\\Omega_h$. In the space $x$ direction into $N$ steps giving a stepsize of\n", "\\begin{equation} \\Delta_x=\\frac{2\\pi-0}{N},\\end{equation}\n", "resulting in \n", "\\begin{equation}x[j]=0+j\\Delta_x, \\ \\ \\ j=0,1,...,N,\\end{equation}\n", "and into $N_t$ steps in the time $t$ direction giving a stepsize of \n", "\\begin{equation} \\Delta_t=\\frac{1-0}{N_t}\\end{equation}\n", "resulting in \n", "\\begin{equation}t[n]=0+n\\Delta_t, \\ \\ \\ n=0,...,K.\\end{equation}\n", "The Figure below shows the discrete grid points for $N=10$ and $Nt=100$, the known boundary conditions (green), initial conditions (blue) and the unknown values (red) of the Heat Equation." ] }, { "cell_type": "code", "metadata": { "id": "n5PyInBnDoQS", "outputId": "2b9405c2-1244-4918-b21f-357090e3000e", "colab": { "base_uri": "https://localhost:8080/", "height": 324 } }, "source": [ "N=20\n", "Nt=100\n", "h=2*np.pi/N\n", "k=1/Nt\n", "time_steps=100\n", "time=np.arange(0,(time_steps+.5)*k,k)\n", "x=np.arange(0,2*np.pi+h/2,h)\n", "\n", "X, Y = np.meshgrid(x, time)\n", "\n", "fig = plt.figure()\n", "plt.plot(X,Y,'ro');\n", "plt.plot(x,0*x,'bo',label='Initial Condition');\n", "plt.xlim((-h,2*np.pi+h))\n", "plt.ylim((-k,max(time)+k))\n", "plt.xlabel('x')\n", "plt.ylabel('time (ms)')\n", "plt.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n", "plt.title(r'Discrete Grid $\\Omega_h$ ',fontsize=24,y=1.08)\n", "plt.show();" ], "execution_count": 2, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "OnIx7JtEDoQT" }, "source": [ "## Initial Conditions\n", "\n", "The discrete initial conditions is,\n", "\\begin{equation} w[0,j]=1-\\cos(x[j]), \\ \\ 0 \\leq x[j] \\leq \\pi, \\end{equation}\n", "The figure below plots values of $w[j,0]$ for the inital (blue) conditions for $t[0]=0.$" ] }, { "cell_type": "code", "metadata": { "id": "39auVS78DoQT", "outputId": "856e4718-de10-4f22-dc9f-08d5bdf297bd", "colab": { "base_uri": "https://localhost:8080/", "height": 304 } }, "source": [ "w=np.zeros((time_steps+1,N+1))\n", "b=np.zeros(N-1)\n", "# Initial Condition\n", "for j in range (0,N+1):\n", " w[0,j]=1-np.cos(x[j])\n", " \n", "\n", "fig = plt.figure(figsize=(12,4))\n", "plt.plot(x,w[0,:],'o:',label='Initial Condition')\n", "plt.xlim([-0.1,max(x)+h])\n", "plt.title('Intitial Condition',fontsize=24)\n", "plt.xlabel('x')\n", "plt.ylabel('w')\n", "plt.legend(loc='best')\n", "plt.show()\n" ], "execution_count": 3, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "Mw_bC8CVDoQU" }, "source": [ "## Boundary Conditions\n", "To account for the wrap-around boundary conditions \n", "\\begin{equation}w_{-1,n}=w_{N,n},\\end{equation}\n", "and\n", "\\begin{equation}w_{N+1,n}=w_{0,n}.\\end{equation}" ] }, { "cell_type": "code", "metadata": { "id": "NuHcK-e3DoQV" }, "source": [ "xpos = np.zeros(N+1)\n", "xneg = np.zeros(N+1)\n", "\n", "for j in range(0,N+1):\n", " xpos[j] = j+1\n", " xneg[j] = j-1\n", "\n", "xpos[N] = 0\n", "xneg[0] = N\n" ], "execution_count": 4, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "O8lJ-AnYDoQW" }, "source": [ "## The Explicit Forward Time Centered Space Difference Equation\n", "The explicit Forward Time Centered Space difference equation of the Wave Equation is,\n", "\\begin{equation}\n", "\\frac{w^{n+1}_{j}-w^{n}_{j}}{\\Delta_t}+\\big(\\frac{w^n_{j+1}-w^n_{j-1}}{2\\Delta_x}\\big)=0.\n", "\\end{equation}\n", "Rearranging the equation we get,\n", "\\begin{equation}\n", "w_{j}^{n+1}=w^{n}_{j}-\\lambda a(w_{j+1}^{n}-w_{j-1}^{n}),\n", "\\end{equation}\n", "for $j=0,...10$ where $\\lambda=\\frac{\\Delta_t}{\\Delta_x}$.\n", "\n", "This gives the formula for the unknown term $w^{n+1}_{j}$ at the $(j,n+1)$ mesh points\n", "in terms of $x[j]$ along the nth time row." ] }, { "cell_type": "code", "metadata": { "id": "RHwq9gEDDoQX" }, "source": [ "lamba=k/h\n", "for n in range(0,time_steps):\n", " for j in range (0,N+1):\n", " w[n+1,j]=w[n,j]-lamba/2*(w[n,int(xpos[j])]-w[n,int(xneg[j])])\n", " \n", " " ], "execution_count": 5, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "TsVfD7sEDoQY" }, "source": [ "## Results" ] }, { "cell_type": "code", "metadata": { "id": "hOx5ScRMDoQY", "outputId": "b7e48e97-cb43-4b66-95f6-31ec49aafbd5", "colab": { "base_uri": "https://localhost:8080/", "height": 487 } }, "source": [ "fig = plt.figure(figsize=(12,6))\n", "\n", "plt.subplot(121)\n", "for n in range (1,time_steps+1):\n", " plt.plot(x,w[n,:],'o:')\n", "plt.xlabel('x[j]')\n", "plt.ylabel('w[j,n]')\n", "\n", "plt.subplot(122)\n", "X, T = np.meshgrid(x, time)\n", "z_min, z_max = np.abs(w).min(), np.abs(w).max()\n", "\n", "\n", "plt.pcolormesh( X,T, w, vmin=z_min, vmax=z_max)\n", "\n", "#plt.xticks(np.arange(len(x[0:N:2])), x[0:N:2])\n", "#plt.yticks(np.arange(len(time)), time)\n", "plt.xlabel('x[j]')\n", "plt.ylabel('time, t[n]')\n", "clb=plt.colorbar()\n", "clb.set_label('Temperature (w)')\n", "#plt.colorbar()\n", "plt.suptitle('Numerical Solution of the Wave Equation',fontsize=24,y=1.08)\n", "fig.tight_layout()\n", "plt.show()\n", "\n", "\n" ], "execution_count": 6, "outputs": [ { "output_type": "display_data", "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1EAAAHWCAYAAACWrwPjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdd3gc1bnA4d+ntuq9WcWSbbnLFdu44YLBmN5bQiihhZAELiU3EBJIbhISAklIAUKAEDoBHNOLITa2wca99yLZalbvXXvuHzNrrdaSLK0ky5jvfZ55pN05Z+ZM3TlzmhhjUEoppZRSSinVNT79nQCllFJKKaWU+jrRTJRSSimllFJKdYNmopRSSimllFKqGzQTpZRSSimllFLdoJkopZRSSimllOoGzUQppZRSSimlVDdoJkop1YaILBURIyLX93M60u10fG3GYejPfSciD9nrfv54r7s/iEiAiPxMRHaISH1vnysiMsdeZlZvLVOpE5mIPG+f8w/1d1qU+jrQTJQ6qbj9CBgRWXeMsC99kx46v2lEJFhEfiQiS0SkSEQaRaRYRLaKyH9E5E4RGd3f6ewKO4P0kIhE9ndaTiB/A34JjACagcP2dEwicpG9P+f0XfKOLxG53L6ftXR2ntiZTiMiThGJ6STcFjvcX/smxf3HLYPclWljf6e3p0Qk0nUP6e+0KHUy8evvBCjVhyaKyCXGmIX9nZCvmYPALqCivxPiLRHJAD4Chrh9XQMEAKPt6SJgEzD+uCew+x60/z4PlHcQphjruOUfjwT1JxGJAK63P17qxTV+EXCd/f/SXkpWf1tm//UBTgPe9QwgInFYmU4AscMtaidcNNY1AvB5r6f0xFIMtBxj/tddJK33kIc6CZePdQ85GbZZqT6nmSh1svuliCwyxjj7OyFfF8aYa/s7DT0hIn5YD4ZDgALgF8Drxpgye340MAO4DBjWX+nsbcaYvwInXalBB4Zj/X6V6EsSizHmsIjswto3s2gnE4WVaQKrxC7BDndUJsoOJ/b/y9qZfzKZbIzJ6u9EnAiMMfcB9/V3OpT6utDqfOpk9TlQi/U29Vv9nBZ1fJ1B61v0840xT7kyUADGmFJjzLvGmOuAuf2SQtVTQfbf6n5NxYnHleGZ1cF81/d/7GK4XcaYLlWRVEqpbxrNRKmTVQGtb+UfsksnusytPnx6B/M77PTAvXMBEQkXkUdEZJ+I1InIfhH5pYgEuoWfJyIf2+11akRkmYic5rlcj3WEisj9IrJGRCrshvV7ROTPIpLaQRz3dEWKyO9EZKeI1IpIeXvhOliOiMiVIvK+iBSISIOI5Nrp/h/PdhYikiIi94jIR3Yaa0WkUkQ2iMgv+qCdzxj772FjzNrOAhpj6juaJyIT7HZzh+xtLLaP06XdTZC9z42ILO0kzFEdQ4jdxs8t2AGP9hrPdxbfY/k+InKjiHwuIqX2OXNARJ62qz+2F6dN5woiMkNE3rP3RZ2IbBKRH4iItBe/K0RkiIj83b426kWkzD6XbhIRX4+w19v7Y6n9VZrH/rj+GOuaY8d3VeV70CN+hx1TeLvtInK+iLxtXyuNIlIoIu+KyFnH2jdecFW9mygiIe3Md91X/g3sA8aLSFgn4Y5U5RORWBH5vr0tO0Wkyr5fbReRP4hIkudCROTb9n4t8DyWHuGm2eGaRCS2nfmZIvKcfb7Wi0i5iHwhIt8TEf+OltuXRGS4iLxqH886e588KCKOjq5Fz+upg+V2eK8QL+6l9nIOuH32bPP1kNu8TjuWsLftLhH5SqzfnToR2WUf/8SubI99PSyxj2G1iKwSkas72h9KndCMMTrpdNJMWG1GDPAaEIPVrscAN7cT9iV73vPtzDP2lN7BetJdYdqZt9Se9z/ATvv/aqDRbbnv2GG/Dzix6uRXuM1vAGZ0sO6RQJZb2CZ7+a7Ppe3FdUvXvVgPUAaoByqB8nbCXd/OMiKAxW7rctrrq3P77nqPOG96bFeJvb2u7/YCKd3Zx8c4B+614zUCgV6eR7d4pLEMq/MC1+cXAd9O9rHnPrje/n5pJ+t8yPN8BB7HeiHgWm+R/dk1Pd5ZfLd5wcDHbstpxGpb5fpcB1zYTrw59vwsexua7WPuHtcAf/JyP5/nce6U0/Y6WQyEuIW/0t7uUnt+i8f+uPIY65tuh3Ots9ojfkFvbTvgT+s9xjVVeHz+nTf7rZPtS3Vb9pke88LtbcixP//TDneWR7hQrHuKAb7t9v2jbstuwrqO3a+JQmCsx7JCsNoiGmB+J+n+sx3m/Xbm/YC212KVx3qXAMHd3E9z3OKne7GfZ7ltl+u4Ntj/fwn8hnauRfdzqpNlX08H9wq8uJcCC7HuG64wBR7TPW5hn7fDPNTOuuOA9W7Lcf12uP/uTO1se4Cf0Xrdel5Hd/bmtaCTTsdj0pIoddIyxpTQWm3lZyLiOM5JeND+e5oxJhTr4eRmrAeA80XkZ8CfgN8CMcaYCKyMw0qsDhD+6LlAsRrUfwCkAW8A47AyCqFYbYBeAaKAt9p7K2n7OdYD3tlYDx/hwKQubtPLWNXl6oA7gGhjTDTWQ/oorN7Syjzi7AB+hNX+KMgYEwMEYj1QrLHT/fcurr8rXKVP/sBTHbxp75CITAeexCqpfxNINcZEYTXOfgDrB/8ajkPbAWPMHcYY9ze8k40xiW7THV1c1B+A+VgPXt8DwowxkVjtZ5ZiHY9XRKSjNmJxWMfoSWCAHTcK+Is9/0fSzZ4ORWQI1suOQKwSjxH2csOAW+20noGVkQTAGPO6vT8usb865LE/Xu9sncaYL+34rnCPesRv7226t9v+CPBtrAfbK4BQ+xoPx3p5UgX8uDffwhtjDtFa6uBZVW864Asstz+v6CScq+TevVOJg8D9wFhar2MH1r3jY6z99Ip7yZwxpgZ4x/7Y7nbaJVRX2B9f8Zh3EdZ+rgF+DMQZY8Kw7jcLgD1Y95Gj7pV9RUSisO69wViZivH2cQ3FKuEch3V8+0K376XGmEuAyW6fEz2mR7u47heACVj39yuwXm6E28vegnVNLGqvJNE2Hus38WdYv3eRQCLWPRbgYbHaqyr19dHfuTiddOrNCbeSKPtzONbbOgPc4RG2r0uimoCMduY/67b859qZn4b1xtsAAz3m/cr+/pVO9sGHdph7OkhXI5DZSXxXuOs9vj+H1tKnBb10vKKx3mA7Pfd1Z/v4GMsUt21wlTa8h/XjvQCIPEb8z+x4K2i/tMn1lrkKCO/ivrseL0qiuno+dhbf3o+ut9W3thMvGOtB3wAveMyb47buf3Sw3s32/J938zi5roO9tFOSgFUa6DrfMjpIV5aX593zdPDGvTe2HRhqp7sQKxPeXtyr7Lhbe3INdbJtn3dw3n7f/jzc/rzcI5zrHrOvG+t0ANvseLM95p1PaynjUSXDWBllg5VRci919KW1xP2sDtY7xI7XhJXB7Wp63Y+tZ+mu53SzR1xXaUoxENvOsq9xW7bntXjM85Yu3Cs6iNfje2lH1wVW9U7XNh11LLA6KXGVDv+yg+0xwE/biRtkp9sA1/bmtaCTTn09aUmUOqkZYyqx3ggD3NdBO4G+8oYxZm8733/q9v/DnjONMdlYD5YAmR6zr7P/PtbJel1vc8/sYP6HxpitncTviKvXvo+NMR95Ef8oxphSrOovgvUGvDeWaYALsN6cOrGqFJ2LVUr2IVBi18k/xzOu/SbU1dnEw8aY9ro+/h1WVZZQrIzlie5irFK1AuAZz5nGmFpar5FLOmm7ctS5anvb/ut5rnbILq1wtS37o50GT88AuVjnxmVdXXYf6e62X4uV7teNVTrUnjexSttGi8iAnifxCFfp0RSP0ndXO6dlAMaYXVgPr5M7C9cVxpgGrKqXYPV86e4jrAfsCNq/XlwlVO8Yq+TKZQ7WC6WtxpiPO1jvPmAVVsnZnK6m10MsViago8nzN8N1Lv7DGNNeV+AvA9lepsVrfXEvdePa5rXtHQtjdT7ylP3xCs/5tnqsmheeceuwSjKhG/cQpU4EmolS3wR/obVL3x8dx/Vu6eD7QvtvPa2ZJU+uHrGiXF+I1WFEiv3xA7ux9lETrdWf2u1gAqu6oDemutbd3YgiMsVuGL7Tbkzs3pD/QjvYUQ3TvWWMqTRW73uDsNqmLaT1wcYH64HrfRHxzIxOwHoIMXQwPo4xpgJwDeQ8sbfS3IdcaVzeQaYQ4L/23xCsEgpPpcaY/R3EzbX/RnUwvz2DsR6qwWrTchRjDUuw1P7Yn/vZm213PcRe18l1moNV5RQ6vla94cr8BAJTAMTqyGYyVmZmm1vYL7BKkU61wzlccWjn/BeRESLyVxHZbHdo4HS7jl1VS9tcx8aYJlqrbH3LY3kOWqtmtqnKR+s+HNrRPrT3oyuct/twkDFGOpmOPPiLiGucOej4/mDow27hj/e91Oa6/tq9Vm2ue8iwDl5WbvfIJLvz5h6iVL/TcaLUSc8YUysiv8HKXNwrIk/YD8J9raNBT10PsoftH9zOwrj3POX+tjq+C+sP7uD7oi7EbU+C/fdgdyKJyD1YJR2uthItWPXqG+3PEVgPfL1eSmiMOYj19vNPdloGYpWAPIBV/eUuEVlmjHGVKMTZfyuMMZ11n53jEf5E5kpjbidhctz+b2+bqjqJ6+rhsDu9pLmvoyvp6s/97M22u67VMHs6lo6u1W4zxuwTkVwgGau903KsjJED+MTjnrMcq6RyFtaD/xSsaxE8MgkichVW6a5rW520dqgAVslsCO1fx69gVc88V0TCjDGufXo2VlvDUqwSK3eufeig9d7TmV7bh52IxqpmCJDXSbjOzmmv9eO9tDv3EMEq3fPMMPX2PUSpfqclUeqb4u/AIaw3XXf3c1q85X69Rh3j7akYY9I7WE5HpRG9zm5w/zusH9a/Yr3FdRhjok1rQ37XW2qvu8nuKmPMQWPMH4FpWOOIAXy3naDHuxOS4yHw2EH6xYmarp5wXav/04XrVIwxS3t5/Z7jRbn+LvcI59m5hOtvjjHmgCuQiMQB/8B6yH0dqzOJQGNMlNt17Orcob3reBnWQ3YgrSVP0FqV7027xMqdax++3cV9+FA76z1pnCD30pPxWlXKa5qJUt8Idp39/7M/3tlJD0IuroxGRz8aER1835fcB70c2I/rT+tGnEux7jMfG2N+aIzZ3k6Vsq68Ze5VxpjdtD5AuvdI5yqlC7IfHDviqlbZ1VK9ZvtvZw8hfXVOudLY2TmT4va/tyWV3eG+jq6k63ikqTe5rpX+uE6hNRM13W7j5mrn5JmJ2oBVYjDNI5xnVbWzsUqatgPfMsasayfT0+F1bJd+vWZ/vBqsse6wOp2Ao6vyQf/vw/aU0vrb0FmVuY7m9eQ+0J/30u7cQ1ydbih10tNMlPom+SfW+EhhwE+OEdY1+GxKB/Mnd/B9n7HfDLseLM4+3uvHasAN3etMwbX/NrQ30647P7W9eceBq7pJo9t3G7AeAqC1g4k27G7mT7E/ru/iuo51PkHn55QrTd68YXal8VQR6ajK0+n23xpglxfr6K79tO6Tjvazq+0adH0/d5XTtZpeXq6Lq93hgj5a/rG4MkGhWOfVdKyS13XugYwxzVjXtXs49/gurvN2s91WrQ27o5DTPb/34MoozROReKz2O0FYJVTttSFy7cOxIpJ8jGUfF8aYRlrblHl2DQ8c2RftzqP1nI+321e1p6P7QE/upU63cD25h8zuJL7r+O/upO2TUicVzUSpbwz7geEh++P3advGyJOrU4gLPWfYjaHv7NXEdd3z9t97OnuwEEtH40R56wX773wR6erDoavt2ZgO5v+UrrUZ6TIRyRSR9sb7cQ+TQOuP/kbX93YPV67G0/9rP8h7+l+sN8nVdL2TDdf5lCwip3jOFJHTOLpXM3eV9l9vjulCrIeoGKx2KZ7rDsYaoBhgYSedT/Qau2Riof3xjg4ydzdhtesxWOPy9Kae7M+ueAEr3SNF5NbOAtrjDvUqY8wOWksP7sDKJK1qp/QIWktk76D1WvTM1Liu48wOHqJvxupuvLM0bcAafNwPuJzWTiZe66Bt6GdYVbB9gd93tuy+2IedcJ2LN3cwrtFVWF2Kt2c3VhsyobUU7ggRyaC110pPPbmXVrr9780576omOJr2fxMTsMafA/i3F8tX6mtJM1Hqm+YVrCopQXT+5tT1Q3CziNzg6gLYrpf+Ab3f+1FX/RbrLX4s8KWIXCEiQa6ZIjJQRG7BenN4US+v+0N7EqzBfH/oyqjZmbZRIvKYWANkuri6PT5XRO5zPSyLSJyI/B5rwNqSXk7nHOCAiLwoIue7P+iISLiIfBvrwTECK3PxV4/4P7O/nwi8JiIpdtxQEbmf1lLM39pd6B+T3W39avvj8yIyxl6mv4hcDizi6EGK3bnefl8rHXdB3tm6n3alWURucTufhwHvAxlYJRW/6s6ye+g3WCVfSVg9JQ630+QQkZuBP9vhnrW7su5Nrv25QHq3e3EAjDHbaW0j9ISIPOw6jwBEJExE5ovIS/R+BtHFlRFydTntWZUPj+9d4Q7b3Z+7+xQrU5gJ/Nntug8XkXuBv9G169hVGnUrrUMwtFeVz9Wr3w/s9V4tIotEZLxrvn3tTBKRR2gdYPh4+BtWD6uxwMciMtYtPddgtR1rt+MiuyTL1YnNH0Vkpoj42NN8rPtlXQfr9fpeaowpp7UjjBu6sa2u+Mtp7fjjORG5zHUfsl8KfYLV3vgwboNjK3XSMyfAYFU66dRbEx6D7XYQ5lJaB//raHBTf6xqLq4wTVg/jAbrh+pC17x24i6lnQFX3ebP4dgDLna4DKwH3u1uaWvGqoNe67Fd13UnXV1cdyRtB7JtsfdHndt313vEecttnhOrXYFrMOFn6HiAx/SO9vEx0n+rx34wWD1DVXp8V+e5jzyW0eKR5ma3uC/R/kC8ne27Uz2OURXWW2mD9YDiGuS0vfPxBo90Z2MNRPqoW5iHOokfjPWg41pGI1amzfW5HrjQy3P1erwYHNSOe77HuePqacz1+VPcBmDtTrqOsd5YWgfhbsHqSTPLfXk93XasEpQnPM65CqwqXU6375Z4sw1d2MYfeax7XgfhQrDub65wr3cQ7g8eyytzu0Y6PX/dljHEYxk7urAdN7hdJ8a+hkpoez2abu6bOW5xjzXYbkE78WfT9lout68hgzVW08Md7Qus7v2L3eLWuF0DG9yOW3vnlFf3UjvuL9ziVrvOd+BOtzCdxY+jtbqz6z7kfk8tBaZ5c3+gk3uXTjqdyJOWRKlvooUco42Fsd6CnolVjSQL64eqButH5hRgU5+msPO07cUaz+j7WFXPyrBKVZqBzVilDudiPej39rrLsUrwrsN6wC3FqkJSgtWO4k7gHY9oV2KV3uzAelgTrPFprjPG3NQHafw7VinST7FKzrKxMsVBdjpXYZWCjDTG/KuTZUzGekuej1UdqgLrbfDlxphrTDervRljvgJmAu9iPXT5YVXvuRfreDV3EvefWFWmVtvhUrE6+DhWBymu+LVY7ehuwip5qMXKWGVjPXyNMa3dvB83xph3saon/QPrOgu207YCq+rhWaYP2lcYa5DUuVj3giKsB8Q0utdpyrHW0WKM+T7WMX8Ja187sKqCHsS6Tn5A3w0k7N6uydX2qb101tC2nU27YxwZY+7COiYbsDI1vvb/d3KM89dtGftoLZGFDkqhPOL8E2vssj9hlSC2AOFY1/JS4EHaH9usq4412O5RnTUYYz7Huge/jnX+OLDO34ew7o8NnnHc4u7HeqHyqh3XF6td2K+xqvR2Vrrdk3vpL7GqIm+247nO9y5V7zPGFGH1anoPsNZefwCwB+vYjDbGeDsGoVJfS2KM6e80KKWUUkqdFETkIazM3b+MMdf3b2qUUn1FS6KUUkoppZRSqhs0E6WUUkoppZRS3aCZKKWUUkoppZTqBs1EKaWUUkoppVQ3aMcSSimllFJKKdUNWhKllFJKKaWUUt2gmSillFJKKaWU6gbNRCmllFJKKaVUN2gmSimllFJKKaW6QTNRSimllFJKKdUNmolSSimllFJKqW7QTJRSSimllFJKdYNmopRSSimllFKqGzQTpZRSSimllFLdoJkopZRSSimllOoGzUQppZRSSimlVDdoJkoppZRSSimlukEzUUoppZRSSinVDZqJUkoppZRSSqlu0EyUUkoppZRSSnWDZqKUUkoppZRSqhs0E6WUUkoppZRS3aCZKKWUUkoppZTqBs1EKaWUUkoppVQ3aCZKKaWUUkoppbpBM1FKKaWUUkop1Q2aiVJKKfWNISLPiUihiGztYL6IyJ9FZK+IbBaRicc7jUop9U0mIqkiskREtovINhG5o50wHd6rReQ6EdljT9f1VTo1E6WUUuqb5HlgQSfzzwaG2tMtwJPHIU1KKaVaNQN3G2NGAVOB20VklEeYdu/VIhINPAicCkwBHhSRqL5IpGailFJKfWMYY5YBpZ0EuRB4wVhWAZEiMuD4pE4ppZQxJt8Ys97+vwrYASR7BOvoXn0WsNgYU2qMKQMW0/mLM6/59cVC+0tsbKxJT0/v72QopZTqpnXr1hUbY+L6Ox1YP9SH3D7n2N/lewYUkVuw3oDiK/6nhATEdH9tzc1eJRLAtLR4HddrIt5H9ff+kcM4/L2O2+zwLs0tgV6vEh+H98cmPKDe67gRvnVexQv28T69fj14H9+C0+u4dca741rZEuT1OiuavI/bXO/9+e/b4HVU6gpzeuXeetbcEFNS2jv3nHWbGz42xnQpYyMi6cAE4CuPWR3dqzv6vtedVJmo9PR01q5d29/JUEop1U0ikt3faeguY8zTwNMAEYEDzPS07le9N4XFXq+/paLC67jeEj/vMzO+AxK8jts4ON7ruGXDvMsNVQw1Xq8zeKj3x+b01N1exz0vcqNX8SY6qrxeZ5RPsNdxq53eZxi3Nnn3CPtJ1Riv1/lBzmiv4xbu8+Iliy1ij/cZ1c2P39Ur99aS0hZWfzywNxaF74A9I0TE/YH9aft+2oaIhAJvAXcaYyp7ZeW96KTKRCmllFI9lAukun1Osb9TSqlvLAM4e1By6KHYGDOpswAi4o+VgXrZGLOwnSAd3atzgTke3y/tSWI7om2ilFJKqVbvANfaPT9NBSqMMUdV5VNKKdU3RESAZ4Edxpg/dBCso3v1x8B8EYmyO5SYb3/X67QkSiml1DeGiLyK9ZYyVkRysHpx8gcwxjwFfACcA+wFaoEb+ielSil1IjG0mF4riTqWGcB3gC0i4qqjej8wEDq/VxtjSkXk/4A1drxfGmM660zIa5qJUkop9Y1hjLn6GPMNcLsXSwbjRRsa53F7KOkV4uN9xxI96ZTC9CAu3kbt0aZ6357Kpwdx1bG1GO8rYXlzibtITy71E+A2YVXnOz7npjFmBce4Aju7VxtjngOe64OktaHV+ZRSSimllFKqG7QkSimllFJKKdWpXuxY4qSgmSillFKqN/Skro/qXA/qzXg5nBA9qPXVo+p8vj2K691Drm9P6i72E2+r5Tm9PSEAZz/tpxOhhqfB0KL3uDa0Op9SSimllFJKdYOWRCmllFJKKaU6dbw6lvi60EyUUkoppZRSqkMGaNFMVBuaiVJKKaVU10hPGgr1oGvpr1kX574+PejivAeN932/Zg+5PSnZcHrZIqWlBy1ZTA/aU/WoXdPX67B+Y2gmSimllFJKKdUprc7XVp9lokQkFXgBSMDKQz9tjHncI4wAj2ONOFwLXG+MWW/Puw54wA76K2PMv/oqrUqpvrfokRfYXZ1DrTQSbAIYFprCRT++tr+TpZRSSqljMKC983noy5KoZuBuY8x6EQkD1onIYmPMdrcwZwND7elU4EngVBGJBh4EJmEdt3Ui8o4xpqwP06vUCenp226juqwUY2oQCSE0KppbnnyyW8u4+9nf8FH6FEokmhhTyoKs1Tx24/1djv/47XM5ZU0BUZVQFg7rJidyx9+WdDn+okde4JPEXD5Pbk3D7Nw18MgLmpFSSiml1NdOn2WijDH5QL79f5WI7ACSAfdM1IXAC8YYA6wSkUgRGQDMARYbY0oBRGQxsAB4ta/Sq9SJ6OnbbqMurYkrEtaSZIrJk1jeCpzL07fd1uWM1N3P/oaElVncuHjTkYxYc2gEd/ObLmWkHr99LqkDkql8qIR6Rw2NDSGkrk/m8dvndjkj9WliHu+lzKVRAgEokVjeS5mLD0u5qEtLUOprwJu3tN+kN7s+/dCuiR6M99SDRiw9GSfKpydxvWxP5fN1HCfKyzT3aJyoHsT1esAyToxxogAdatfDcWkTJSLpwATgK49ZycAht8859ncdfa/UN0pdWhPDs+KpCf0zub5h1LZUMbzgC3alF3Z5GQkr93P41DQ+GnxFa0nU/pUkrNwPNx47fkpSMgVRjVywusbOyME78Y2kSNcvySXJk45koFwaJZAlyZO6vAyllFJK9Q+D0d75PPR5JkpEQoG3gDuNMZV9sPxbgFsABg4c2NuLV6pfZWQlsHpaMnenOCiRUGJMI1fmpDBppdDY0ECAw9Fp/I8W/pPDp6ZzyHmAxAOv4esnxDUbDjmnwqmDeOONv3HxRbfg5+/fJl7uru3sWvsF0EhBRAuJm3z4oPG3NAVE499YSkL+W+SNcfLqY78gvDKSxFNTSZo5l7raKhICItjy8Xus8C2ioLaF4f8to+T6S9tNX4lE8+GXG2FQBPMT0/HtSQ9cSimllOobBlo0D9VGn2aiRMQfKwP1sjFmYTtBcoFUt88p9ne5WFX63L9f2t46jDFPA08DTJo0SQ+vOiksX/EBm979B8VT57G9fh2JB/52JAO0tWUqDdNHkf3YQ9x2/8P8+uGfUxZSx/9+6x7iYhN47Lf3UxLqx69v/wWbCnPIk72MXltHWFXmkep8VWFVHBqzkT01mfzuyd8y2NlM0fYtFGSOITptMFuLszhnkz8tibXEZPtSHjiN8oQ9RzqF8K04jaDNX/D05DRuysqm8MVsli75KYcmXMmU7Coq96wnZEQFmc0XkhoaRyD11BN01HbGmFKe2lLF1vo4fvf57zn/nMeoC/Inws8X0QyVUkoppU5Qfdk7nwDPAjuMMfgDjycAACAASURBVH/oINg7wA9E5DWsjiUqjDH5IvIx8BsRibLDzQfu66u0KnWicDoNPj7CoZdXEjRoFLsa1jB0u5MzKh86UgqUHf4O1WlvMXH+IwDEZh0mIyCNvds2ETd7PoF7tpHeEs6BA7vx27+UzNIY4gMzKBsQeiQTlFRaTdwXZeydVs2wg5Vkj4phUOx4KorziPwijzFDNvLuqMvJiRrCNQXxvDPEh82l43DWg08gjB1ykAv2TmVB02oahgQS3RRIUVQau7MSmJjdQpnjSj4cH863G16htHguF+59mf9kXNOmSl+AqWf+zkUM2rCJ04KGUJs7iE8feII/XT2P8OYDvDBxCiEhWotXfU0YwKnv8TrVgxcj/dEUpSfr9OlBtSffb1DLk/6oHubt+FIATmcPTooeHFY5AU4Jg7aJ8tSXJVEzgO8AW0Rko/3d/cBAAGPMU8AHWN2b78Xq4vwGe16piPwfsMaO90tXJxNKnYyqa2p45q/XExs9gmtu/j++mhJBZM5SRmyNIsVnKiWpraVAgyqm4LtuGIVha2HSTLJGJ1NkqjkvN4+WlhaCh2dS4xAGxCeRXDGPqqA6NkwO5vPkya094xWsZPqeQJqbDrE7JYS4vPWsGzSD0XsHEZ3uT4DDwYi9zzE+dgzvZpyOo/ZLBqf8lSK7NMxRPJE3U0+jumE6s9NXErSqjoamfC4fvpPo2Akcrs6myGc4EfF3U1bwT5Ia47iYl/hs8AUU+8QS6yxm3v53mLsllQ1hURw4EMi45hDKK5oZv+M/hKYe4p0nD3Lx97/HbXv2cV1SDHPiEnh212L+mOdLsYkkVsr5n6QWbhx+Zn8fPqWUUuokJ1535nGy6sve+VZwjP507F75bu9g3nPAc32QNKVOGBV1TUQE+ePjbCJm6yh8g3zgZphSmoVz5yQaY6JZd0pl267B81cxojEX37oMANKd+Qz9ooWK05uoqy5nlTQQWF8FPsLqeZU01kfiW93Ax8tvPdLD3x9DruC1zFSufA+a6w7g0xRH9cTdLJo4mfG+u5iycTSNuckszgBH1Zdk5MMZu9xKw8LeoTLmj5zqF039J+dTHVBM/fBzWTIplHNzNzDsQBq/+e9XTFxwFguvuYi6wjyS1mbzo5UVNAX44t9YQWlIEIfYw4StRfjfMYLgqtUENPjQmLudaRX34Mjz5+UnXmXj5HQyCv/Etrjz+V1pPI3iAIFiovlFbgOwWDNSSimllDqujkvvfEqpo7216CWyN/yZ797zKZFhkZTMrmJlYBIXVFUyfvjVfBL+JvscgfhWN7bJAD0Sdw07qqIICjnEtcDU1MvYk7kK//wQisormLz2AEIItc0tRO3dTVnkSM7Z9ArZGwKpqEyiLByGjn6L9KaRFKU0kFF3Lg01NYRGHObc/c+xLv4ujLOR1OhA5pa+yOH80YxpPJPRMcEE+/pT2xLM1qrTaVk/nPJz8sCnkmGlI1k3MZE1TgfXxZTjkAoOvrGVtZkvcO28O1l31zpWzR/E4ylRlEgUMcZwXu4ATlkbxI75S0nbNZn4wksoN3kkmRjuj0jljj1biV5awqMTati1E/7mE0SjT9uONBrFwR9zfbhxeL8cQqV6zDi/ZhVketJNeU/0pI2kt1F7ssqeVAXsQX/WvidCva/jpMXLvutbelBP0/RXN+UnQE1hrbF8NM1EKdWHFm3I5fcf7yKvvI6kyCBuOm0QF49PIjLEQfO+TUTvPZevnnqKs+79MUWNgUzb9iJrhg5nxIxT2PhsBDHBVW0yQOXhcP6EF9jdMJCg+nTMDwwRU9P5e80BMgPKOT81nbiE6RiHE9+GagauEybEvklJ9mRyB8uRjiUC6gaSuPlT9p4/mc+iDjK3KI7Iz/YTXpLOFXcf5osBO4nf2EDC5/EkDJxDeOY29g/9CH9HNU0NoUTuOZtSk8juEUNIrl/JV9VJfL8hhvlLVuOMjSD+8mmsO/h3DjXdzEWxyawO3cCMD+HKlDSCfaupbWlge5nhYI2Dd8Y/TFlEEHcf2E1jaQDh3zuFM+vfJjYpk/9+8i5zD44is+IcSiS63X1cTFS73yullFKq92h1vrY0E6VUH1m0IZd/L76fwNi1hCUKgc2GrFW+/GPlOO6950Vmnf09ljS9QG5IDQBnRaaTVX4Flf/ZQdyvz2Vs1qcMbyo6KgOUnG2IThxKSHICFfnFREXGc87+P+DTEo2Pzz1snpXLHp8Y5jQLQdETqMj1pTYjg+bo1o4lkhsjqdo9noPbxhHmv5eNp2eS6ltEeWwgeb6n88G2ZGb65lCfUMeI0TtYPrqEN31+TzGxxAYWc9noV5kEfNZyKYPrI7irNArfUbk07NmFM9VJRMyZrBx9GVPNIXx9/dgxfSpmxSrmLltIVCWUhUPhoFAOxdVzW+w1FNasIWTWePZ98iazam8mZF0Kcf7JpKVfwKsHo/jR2TOJqcqiRGKP2s8x2lxSKaWUUseZZqKU6iPvLHmAQblO5uxobUvkW/MlPsaHloYGEkYM4qUNKQzN2UlZbR3jz7iU3cW/Zle4P+f7CCk+51KRu4GApMGcGzWTYL9wapsr2Ry8goakMt6Z6ktCzjomJZ5J9I4LIcBBc2MzFTmhnFLzGVVTb6bslDx8tg1v07FENCXMql/GpPo00oP+TmlNI0MOhSFDoomuTcAc+BN3mC8IybuL2NgU3h+5jH/53HqkZ71i4nnO51ZaRvyTX2fvoWBZPjI1nKygDMpPXUlDyo8JrnfwrdXBOPwj4SI4t2A3H86axHPJtx/p4e+coP8yqX4TSTUTiFmfhGNKBEPTPub9gjgmH65kXdU6kn96AQd27scn+HPm7izinZQ5bXr4E+NkTu5a4Ix+OspKKaXUyc+gJVGeNBOlVB9JO9B8VFuiPY5hEG3YungF486bx8WN62nekMWaD59g/qV3805kJqfkfMbeohKGnDWaAwtriB7bxP6hP8XfUU1jQyjRexaw4vBAhq7fwEeDYzh1ygISBqVTEZlHY3UtGSXrCdscC9/O5Z8hc5g0eT/v+UyF5fU46vOpCRC+Ch2HOXU/Mz9eQEp1CD711Sw523BGwwZ8/t1ARUME1bO/INcZx0L/S9tkXAAaJZCF/pcywu99Ch3LmTDlAUzjHh4ffis/STc0VFdSmFVJbKxVgdosb+Tsmfu4esoiAhw1NDaE8GX5HP7o/yP+EW7YcvgQmXl+PD7yLkZH5pB8SAjdkUtKeTU35H5CwYEzGLe7BidLjmQGIynngqa3yNgU2g9HVylPBsw3pz2KV/qpi3Nvn/t61MV5P7Vr8vWy8czXcaBzp5cH1tmDA9uTuD1q13SCtEXq0fafhDQTpVQfGVs/h/BYf97130K11BNqAhkVGM+KqesoqnfyD+Zx3oTbWLxsIVXLfeBSuMqxnaY1jWSlPsGABTcSsXsZz0cHs2L1b46U4Mwc8hXXNB1iy44sBuQ2wDV3kDvnMM9UDOeUxkMkOs+lKbaQxnIHN+U+wiMpv2JqznOUpKyjyE+IaXEyo6qZt+se4ZxQaHHUs646gOqVYWyadRGJvu9CxCm8lJbBFZVfUUJcu9tXQhzvhJ2C/+Akrhg0h5rnFnNLdSVDk2ZS2pzFwcSXiBwzHYCI5E3ULB3Hzo0jj1RLHBMdyMBx/8ZvwDXQ8h92R43m9soE6vLqCF8wkTf9n+X22qkMzppOVUU2wQd3McFkkB69mlppJBBf/H3iiSqs4ouyKmZEhR3Pw6uUUkqpbzDNRCnVR4Jj/HhrZFab8Zlm5a6hYUcKE5qe4fDhi0kcNwb/kQtZOzSLeaX5nD7iu3we+xY1G8IYdXUcD0eHE7OrjuU+PyLJUUyhieLhXVfxQkY8p5vzCGuB+tp6apxTuPnAvWSn/oUBQwaybcAGxBj81ycw3vdVEovX8IOFEFMJVcEh5MWGs3veG5QOi8fUxjKqaRGBIbVcUT+QkvgRLA4+yGlfraY+ei4RMVVUOMKP2r6wlirO2b+DyvgaBoaGs37basoaIgi7IY4Pyuo5HHE5+aMuoLmpmcUDLuF8XiNlQyCRlVAeDgeDhLRNUzDDo4gd6Udp/WiSDkfjLKyn9Mx5BNRu5S81kzg7dB/5+U0kJ2/Cby9URQphpgY/CWN8zAxezXSwaOM+PpyQzoTIyH440koppdTJTavzHc37YZuVUh3acrCUd0fl857PNKqWN+P4JJ+q5c287zONONnMgBUTWP3Ek4gI+TMm0bK1gX+tWklc5jAaRlezbuZ+6huriD1QxwVFr5H9UQA7Xk9i7wdBzCj4N7FZ9QzOHE7VxCzKDuYxLbqQ0OVDqd/xCWUTSnk87lyyQwtpCZvOoPzVzNg6hrWDx/LRuCF8OWwQubETGFy4mYUZIzmQmceOijFMfm8EOY3NbBu2kLEt2wmL/zen1e/m6o05YNrWJfBzNnHlzvX4b3OQun0ozU5DzpBPKE/+DyFJkaRtX0H8KQVcFO9LecUhigcF8U7cVaQtaGTklfmkLWiksMmXw0UNhPg38OvBP2PH8IG0NPuwt6KRoVLJjunpTIx4l8aR+/CreJ7/jruMmLQ1nLp/Mws27WPi/m1sqa5mfHU13zd/Iqjg7X462koppdTJzSC04NMr08lCS6KU6gN5a5/hE5/xbarRxTUbYnJO4d3Ea8hMXIWjKoHmhkauHzaBv/z7AYLfOoycdSGbx0zF8cXHvD/wEGfmL8S5ayY7Rl1AgyMav8YqQsq2cKbPS/hcPoU/brgI34Y9nB8xm+3xewnITqZ8zATu230TlVEPkpIyAP91Y/Bx65yilEqqmstpyS6jadUBtgZM5bzyQvYMdGJ8NvNh2hlctONdxr4Xzd4z60grL+LGQ1UsTMmgTKKIMaVcmbObyLzFOIsDiZo/ndyKfbwTfBeD0xz4+fjT8GUj0wImEj9rKKv37OS60kpeHB7Mafv+fKRa4s2n/IGconVMj5jODxtfIvHgRA4O2UnN/vXUB53JBbv2EuY7mjGTo1k3o4CQIcW8zfX874AXSDIl5JoYCtetwllZRnP0JHLzY4kZ3ESEny8BPifPTVp9jZgTpOFCX+rReE39MNYTPWjb1JN2TT7et2vyOVEawBwHzh5sq7cP404vx5eCHl7iPYjbozGmVJ/RTJRSfWD4yNMZ/95f2lSjKw+Bt2auAV8hcfocliWsInTL+8yddDEZdZcR5OtL3rZ93JgQy1v5G6hZ/H8EZk1hZ9okmhoWQl0VQb7RxCVNpnbfNOKiZ/CT7LNx1s4k5MoZBA8Jwy/QMDH8AB/vaCZ1xDL2TiwnLmdYm84p6pqDqSwaSGpNOoci3+CqglRiI68g0OngwZ2x1Nb5EuG4gpI0J2bEf4goLGf851O5NiqZYD9/apvr2VyWzUujzuaMyf9h3uyryFmylXOSlzA76TLKywuoP1hIbVQ1AaHB7GjZRtTWQK4f28C3ptx/ZKyp5/d+n0F+O6iTVDI2zsGRFExlcjBDRq7F1xnAgD2pOEMr2X7+hfy2+VF+vX0NX47JYsGIJykmlhhKuDjxXsqbG/lu0TRK6io5ffUOLol18IsROvquUkop1Zu0Y4m2NBOlVC9au78QaWlkwrCJDMpfzcTtY1jrNsbTsLw4/H0+Y/Qtv+Kxp5vx3f1f5pxyEadcdAaf5T7H5t2fcsZ51zOg8lx89/pyKM6PoLDD1EePoVYaaTK+7Mn4goDAoZwXE8J/9ziI3HUQv+sD2DDxMGU08svGOfj7XUnE7iT+PjiSezKXtBnnyb+xnuToHH6c8D5nvz2O7SN3UjduP021YXzXdyHJzZVUVt1MkX8xjwX+hNMcn3Je3mberz1wZDtSax1MHFLGAd85xMcl8umSfzLK7xSG3TeN3bvWs23sIiaNPAuAyM+LqT+8m9JNgxl78NdHumqfOHkRezKSiGmoYEVJFaMSw9gwKI23G3/P4pAwDlcKEcbBqQH7mTXpSypeDeM0n3hOHXqv3VNhCHuK5zKwsYhNjTk0Fjcxv2UPI4rzgSf790RQSimlTiLaJupomolSqhdtfPtByquWkvGDj8jc3bYaXX1LDfsD8onc00hSRCrnhiwi4PN6dm1azKB503n97TnE5ZczxzeAYZnD2B+4Cv/94TQPz2P04PU4HDVUNkby88qHSBteyM3+wUQEX0FzXQn1NQ0czB7PsMIvaciMYGRsNIE+wq1lL7J8VAT/KrgO9lpdnF/gu4JS/wi2D0wkNM3BiKm3837aCtLKsyn70I8dsYlMjRjIsIBILv70A8qig4hJW9OmU4jckSOZsmY6ccPSqC4/gOR/RVVYCuEDYnl2ezUVjls4c8a1VBZVws4ytg7bwsTttGbECGF40FRS/eopuWQPlT4vUjHuck7LhuEhGwj3e4yc0JcpSotnVuXFDF0TelRGrL6lhteS8/gsZgQvr1+Kc/cewg4MoKw8jpZpLTSL4NBqfUoppZTqA5qJUqoXJUaH4lhxOZteXkJgwjCi40fzrv9WqqWeEPElYMJmckdlcBVwzoi7+eyrL9n16h5G/G4+N1VuZH/eIvZsTyDqvHCe3HkqN/ov5vAI4W8+j1JMLNEBRdy251kCAnZA45Vkjh3GjsLt1B8u54LwD1l3YAPNzTexd/RyIv0TKc1p5vWii9q0zdpW42Rwi7C55B7ujQvGPzmIr9ZksqNpCNdVZDLW0UzlxOfJPTSIZL8W3o+6nPCqq/nxgtdJkhLyTAy7djVRsf8wU66/gH9tySJi8m7ix86hpa6JyXsWUzLSl+nJEax+91lMsXBg+BTqfFZz2TKramNhRCBZQcOo8m3gi5LBZAxxkBA1k4aVWUQ2pmFmhzAmBXwjMqioLCI9K4wlHhkxJJR5jmYmZ77NtulxrIxZx121jxBQZPjzgQI+LCvnnYkjCfTVjJQ6gX0T2lG5+PRo4CWvo3pdA6kHtw7pp3GiejI+1ddNi5dtm3pSmmJ6UJ1NnP00xlSvEa/3+clKM1FK9YL9RdWkxYQw88z7Wb76OSoKqgmPHcru5I8ZaZciNTSE8PDhH3PBwQ/ZmX2IYbNnk744i9zkNZQXlzBx/Gz4KJjsF7OZ/IvbuWLRVWRPiadidxIfFd5GkikmT2L5q08yU/47iEPnbMV/Gnx1OI+BTcsYVDKJuuwJ+GY38e+4BQQGBPCjfaMZn/9a27ZZEWkUh1Sy/PRtrEyt4Yzga/hjy11k1w6gOnAMZcNG8YeoHzIydBO3jziTrGVLWTRiPov2zkLqW/BzOLl3zL2UN+UQMeSn1O95jOdTf8Obs09n57L1pOwYxYimRHx8HBzKWcrmcZvZOOBxxrcYfnGLlZEbUNPA7W9nsXtoCENCNvDTjF/yxqA0tuatx0gzgwObuSf+t5wxPJzxRVVk1UVwIKNtRqwuAFYkTUC+GsWkIZGc5vMZBS057MtZTXhFKbHVJdQ3RhMYNKC/Tw+llFLqa80AzpOoZ73eoJkopXqooq6JN/5+J/Gx/txw6xM0n1LHm/ENzM3awJcRA3lk9eVHeqS7JO4diqs2sPZf9zHi5y8RfKEvf9l/JgV71nDPxLPYn7Ad8Qu2hrd1llO7bxRzq5/huymhFPilktjcwi1bAyhMGEf2mnJiL55K9rv7eGVEAreOGEz8tiUUV1Zx2s7NRDUVExA5jUGHVjNv/SR22z38NTdsJrDJSXz4q+zPnE1VfA5vFIUSMXgK55i51ETEEFgOUw4NYPL8KZRv34Vz1Eo+P20yJRKPw5Tz8rYHOKXZULo/lyHrE3kgag+Dwi7hjY8epS5/LAu+O5+y2gL+z/9apibkMd+5kXdSvgt7v4XUtzDKfyt7z3yS4JC5RK+p4R7HiyQ7foezehHB8ZFIyXncMeApTvGbx6ZIJ41NT7NxwO/aZMQiW5ycsaeB0wuSWDFuLP9iMI/5C6HNU0jNbcav7DNqhl1EZHJ/nyFKKaWUOtloJkqpHgp3+NIi2wj6IIOiuduJPvMS0v/5B5akpbUZKDfPGcvv8i5j0qHzaAgMpujgYTLGXsUNi6/G5B7Ed9Icgk+L4ZPI9aTmLWV6wv+wu+oelhaG8sCbEFPZQkk4vDu9hAWJGZjiCtIcgZzt+Bsth2NIG7+QVRlvEd7YTGTYGnaVFXJq+hVM/2hSmx7+xsXOp76phXV51/CJczRXmiBO33UhA4amsTb1TUL3pfGtA+HMuGAqPj4+1Jc0c+mOdAbvXWtVS/RvJCg1lwFfTWbLv9+jcn81Y86fS05ZNTWJ26mKO0j02PtY994nfCfpVaalnE/ta4E4R7dmxFbVhJO1ZyA35jjxKc9iYOBUSkubiZiYS0LqBMy+WgZ+eR5pC6ZRXbSCjPHVXBm3iH/RmhFzSBkbHUFEFOxnUuh+vppaRLE0UPPpC4Sbx4jbfQXV4/y4rHAvvx2eQkZwYH+fKupkZgDnCVHnpk9JT9oZ9qCL8x51CuZ1F+fer7In1ep8elCdzxfv4vrg6/U6e6KlH6qz9qSHuR71TteTLs5PkHuLdizRlmailOqB5hYnfr4+nJfxM7buX8XGhWs5/cffYYVsIvZAHLPDX+K70VYpUnxLC98veYU9A65lZHgC2z9bzOwbriEoIoDoj6axZ8xSEubNIPvpEl4pOMz/zpvN20/6cp5bKZKjoZwzNi5i33fepXxAFFN9zyF260gCSmNxXlbDlvF+ELqRccsmMjDbj4Yzt5Ebl8kA33zGJn2bQL9QFocvwdQ6GFuRw82V/8TH+RT7oyqJHh7ENpIY6/8udRX+ZFz4QyqKy+DgUip8zuT8sDEE+4ZRW1PN/txsag6s5Iv4DSQ0JpE57w7e3f8+zwT9jIsnD8WnxZfDn2wmM/R0Tv3Jhbxd/DCX7hh1JCMWmZqF7wAngdvCqKxKwpHux07fYn4d8HuuG5GJ88s9FB7aSnPkLF5qGcHa4L/wp+1L8B3zL95Muppi4ikyUczf/SjjFzfgU3AFZ1WvZGLyDJbNrCKgaRdVeYfILgpmr38E2wuLyUif2t+ni1JKKfW1ZIy2ifKkmSilvJRbXsfTT/6Gc8+9mnHnz2b37l3sGriUaXXncFbyT9hefN+RUqTYyhYqg4N4bTZMSHyL/GGn8jefWYyqr+Kcmb9k6aYX2b8ii7mnn8FpAa9QsbkZvysuYOq2tqVILT5h7Bp4KivrfNm7LZ7TJzrxy7iM4n0bqa72Z/+m4eSHRTJwWBMVVV+SZc4gxfEa0WPNkXGias1oomqbObzW8GiI4adUcfqA09kUOoK3ajKpa8nkqitHEuwfzNJn3mDV6LXMXQ/L0y+gwRGIX2Mjadlr+PC8RhIrp+E8OxO/oDCaP8niyrTt3DhuHrvWfUxpkQ+xoU0ERAZzuCEUDm/ifLunwoK9ZVTU5nIg9Ct2hb/MmQtuJGDzBr497L9clZDCqj0vMKAojMQBESzI+hUThkHFv1PadHHe1OTA1Azh+av28KMgf8ZsuZptA4awsbCE0LSZlPnuYFBlDA/6P0hc/ndAM1FKKaWU15xaEtWGZqKU8lJLVRE+za+x5oUVTHrkM/zOjub1L8+gdNV27r7sDN566IEjpUhbHNG0NO5l0qGDbJOFRJ1+Bxd88CDLnfVcdOH3CBqcRE7KMhpqL2Fk3VnsLoyheGU2uXGZbcaJcuBLYlk5k3Y0ce6gRwjbU07m6DFsbKwjoLKZG/2fpLKhjozEp2hMmcCYkr2UZNa1GSfKL7+W6MBSHt33DLOzByOjg1gctYKr4ybzReZg0mePx8dHKM3bT9bmIkZOaOG9SWu5bNlaYiqhJBzenCXMdExmyeR0bjz1LA4s3UjAvgYynWcQHBzHls3PsS9hO1NvfoKWhmZKo7birJzEwbyXwVkFEoifYxrvZ07joqo6hmVcRs4zn5PZMp/I00ZTnbadonR/5gU5iFwzi5gIf/Y15MKmMsYe/DVBfmHUmnqebdnFtKAwDicNYP/BVxi44GI+nHoWMxIPM27H3/GfcSW1B68mZNgwFg0uwwlckhDV36eOUkoppb7mNBOllJdSU1KZWHAO+dVx7F66galTruCGz6ZRuriFlpkrjipFygifRPOIJKZtmsXZo9L52ftZhLz1Pi1nfoeI88L56bpvU74vm0vOvQFn6RKKtuzFP6qmzThRh50J1OfF4bcpDefydHbWrGP01VPJD3yfQwaqD6cRs6mM8vtKqQx4gdyws1gzqqrNOFF3+L1BviOBLYNnEuAIYWrCNhKmLCM4+tsMCE45sn3Llj1KXtAaikMuZ078C/zqllAK/HxJbG7h+oPhxOybyjXl/gw6O4OnPz+bqIIJjL51IvlVOfy16kJOGzyWEYNnsfnt/5Ke+hW7ciGt8hKaAqIJaCwjO/RtpgwPZrnfTL7lCOHjQwUEh/pS4GzhPzU3kzwwjfKCWkoPbSM+ZjTJRVvJTnTPiDmom3Yav4r/Hm82FlBZO4zk0loe8XuY0eYqfndNGdemlhC/LozDodt55oAvPjRxcfwspAdtM5RS/aBf2kT1oF1TDxrA+J4Y/Vmf8LztKa7ZeN/+q0ddnPekTdQJcEpYg+1qdT53molSqpv2Flbz0fJV3HTBXMbdejsBLy9n98bPOXf2eOKZTsuhNPa8/uVRpUg7fQxMWkF1aioXhEZztuN2dvvns/HT9Qw941Luff8sTKWTtFs/Y+mox2mMrsfPjzbjRPmW1ZIYUMBtKe/SWHEFxQXNOBJjeeyLHzInKJRvhUSxI24v4fHR/DTvFzxRVcbrpWO4aOcn/NjndQY4ivlZZCwQTnn+lUwLrOQT/3N42m8ypwWkEWFvozGGleVzGDaqkdohxSzZdxPP5bxAkikhT2J4OyeGysYKZp8xl7WHKwkKKaFi7hriJj7Mp6/+kxmj13HB4HMxTid7Fn7JmsGXMzf5BZ4as/ZIRuy2Q2HUbDuPWQmRHCpbRfThT4kcP4mG3GVETCnnwvRkyjZ+hH95NEOSknl6PcktKgAAIABJREFU9FrmrYeD6ZfQ4IgmoLGCaQVvMin9PbIiZ7Mx4TUyIv9K3WdXUTFzBhcXfEB54lgKG3JIbkzhe/XP4dtcyMLDmTy8v4DchiaSHf7cN3gAlyZG9+cppZRSSp3gtE2UJ81EKdVNO9d8inPXnXz56Y3MXfAAqyc+yROOsUQV7GL6Nb9iVc4L5O3POqoUqb4hmJ8XPsT5+UvILS4l8zsX0vDEx+Tu38CEwBnUSAgpnyRRfsYu9o6ezftrHVww4kNeKLj6SCnSxX6fMyP4U3ZmjmNGpQP/umgi6sP4Vd5jxFRFEpl+OVOKkyjMjeSuzY9SOvoqztq7jDnhL/Ld6FAO+6Zw3xvBBARUU5UZSX1CIN9JGkx8RD0Dg1p7rxMRfvKdiwh2XMqLT91CzogsFox4kmJiiak/zG2OOykvyWbw/P/hjeWP8mj8g9w/czg1pXU4v6xmRsx4psxbwP4t77Iu4nU+zvg9stPwXHXrgL2v555LsqknaXIGazbvQ07fzeyzfkL+8hZmlFeSmTGFVebnrBr+FZNmX8CBrCm8N2l1m2qFhbHXErQ6nuQpTpLSqgioKiTucDlVfhX8MPV/uSkpkrnZbxHmu52c2Lks9glgkV82DfYPQU5DE3fvzALQjJRSSil1AhCR54DzgEJjTGY78+8Fvm1/9ANGAnHGmFIRyQKqgBag2Rgzqa/SqZkopbpp1uxp1D49krwtzTTMbCR+1l3Me+oBdhz6iNNufxUzCd6Oy+PU/bltSpFiA4u5zjxPPutY/k4jV333aeqmbOP/2bvr+KjurPHjnzuaTCYTdzeiEAJJgBAkuBZ3KlDb2na71d3KVqhtdeu2tFAcChRa3CVIgiQh7u5uM8nM3N8f8FDCdp+nP1KgLff9euVFMpmbuXPmAvPN+Z5zvlF5E9CYx7iI5zmZ8z2phzNIGBxKuGEqL9d+djmL5K6uY5XGgeILGnbahpMQ5UNO0yd4d/Qj27KV7qoq7o4OYmfdv5igtGWP63GmKj2I0Wy83ODCvkXk1MDbqVN1Y+W1AdFBh4vVbO61d/qP52lnpQLAq3Q43RzkTf8nUKvbSZbHskv2Z4LstejrmlAeV/K4227mBE3k2CevUdSspX+UJ4JCxmNJMMfZ6VJ78gWXB/bKLUT+JL6FqiaEoIFhPHG8ghrrfzHNO57UM6/jLLPBxsOJPZsiidSa8NYFcN5tfo85UU5GkWmn6rA01nDM7m4OCP/iY70r+cYWEixE7vP7mnGaCL4al4ObfzAzCyw40Nf18gLqf+hFGctyC6RFlEQikUgk/8UNHrb7DfARsPJnz0UU3wLeAhAEYSrwmCiKDVfcJUEUxbrrfZLSIkoi+YUyK1tQygQCXVywT7gTY34NmVsOMvyOCZx0rMB+pz1FUUcImjoV4ydrKY5R9sgitVjI+dD/Dt49J9CQ70vLbW1YxTyM35cfcrRmF3fNXIp9ciq1hnwmBsTx3RuBjA8/djmLVKXwYlCxjFjzvcw524TbdDUPJ9+NpamVccWjKa3Sgk0pF/o646OtZMZmb+Sjusls+KlNul5li0b/I+qOJo7Y9KXVZRAT5f/7/KSWujz6yMZzribkYntymxqG+p8n4KAtZ1fKEQtbCAucRqveRErXRgw6FeHzD1CUdx537yQSfe5lZvrZHu3JnVoq8VBVUBvSRUdLN1ObvsPV04fWugBsiuuxCvPB2FVFSogb2M1DbO9grtNWVl4xJ6pZLWDXcAKzlYoY1UY6o820Glzom7MOVfuL6NJ0dPeL5iHzKjStOs63N1Gr9P/Z51hlvDkzUiR/MNcy8+Y3Mv/lF+vVrKebMyfqmo/txWMKN21O1O/rerr2Zwqma3xhr/U4oFeznm7asb+iXsXu/4MoikcEQfD9hXdfAKy9fmfz30mbGyWSX2jDhjUcXzECQ30RI+6eRpV/KTttttLZWc3iAa/S4hxC2vdpBNj4MdjpJBtqpzM9aw+J5ocoVC/ktPgnpucc4YeIOAKdXCjYkchIV0887A7RdmoFRqELY1wBK0LsKDebUbvO+CmL9AWsfcPE/F0KrNSleKta6bKIZnhyEgXHy+nqPwBRU0EVvhw7E8vp0oHk+M+hVR51ucFFs2EzhuZ/EeAaS5jHFKzS/bC2HYyl/H9fQNQatDRUpzC1PYK79aMYVTWJAQfDaGmz5ETx+9BcSf9JQ9hceJyzrfOwGPMCWo0N5WuyGJzWxXP+g2m+YMmwdGfe0j/JKnEO8yzX8672DXIaF5Gy+xBhqZMYpF1EY+Y+9g7ag3qBLWXJ9SxpWMd9GpGcuqP45hpZ6roC3XAZhnFuuA9pJcVnM3leW1Gm2hGZ3oGXvIqt82voVhlIqB6No8KR+4RXeMvufryqqnCg9mefo73487dLJBKJRCL5bRIEQQNMAL674mYR2CMIwhlBEO67no8vZaIkkv9i67ly3tqdTUVTJ+62ltwT0IhxrRV7Wz5jyrI3sBg9mIO7mhDFM/x92kR8D+SS57qH0sIUxoQ/Rvq+Az2ySO7NZuZ0ryKr5S6K/Jo5Z3OCMHMMw9QLOdMukL8zE2P0A0R9/Q5J3a4MGNSH1WevHrbbgItNJeUupXjJjQTbb6at6zDB/p/S4FGDXZ2Zz01PY90wjhKVI3QZewzbtVRYs9t1A12dCkIz3Hgwwu//7FT3n13xrFCq4zjnYcNYrRn7sUHIlBbITqzDdpADd4wcSvXJM6QWZOPp6oNHgB+1Bu3l9uQahY5yl++50/V7ZOf8aCippFphxeABc7hvcylxjCY8cA6n3ltBcMcMQsYPZfWRnf+xrbCk2QdfRwOGthg0eVr8NINZU2eFc3UD+jA/jlZ8wiiFDZ7RVQxy0rM/4AQzuktYqVxCl/BT9k0l6pnR/R0w7jpfURKJRCKR/D6JCL9mdz5HQRCSr/j6C1EUv7iGnzMVOH7VVr54URTLBUFwBvYKgpAliuKRXp3tfyEtoiSSn7H1XDnHtnzCetbhrq6josORD87PIcRmGq0VzVRm5zMxaCrdu+MpPtxO1fBwfBf689SZyew7V8TqGdOISXygx7DdGocwily1RMSuwzz8dTYcMKI8W8Xi6UtpSP+GlswSJkzqT6ZmH8WZZxk1ezWDv+3ZJl0vs0Z0tyR9gCNNphLc8iPQ5Zjo/hD0MWvo1HSxsdMSu44ioj1jMFoocFJXYe8cyXblBdqETuTBBuy6O3DJt/5Frb4Tr+qKpzY04FHyA00zFHzc+RQbx03n9Na9eOXEESZzwsbCkU/PLKJPtTXRD/wVo7HrPxZi4R1jscryRNF2hBNe+YS4BNOmryfcZTdtPiFYmY1UFRqR6ZoZ4qhmhZU9f6471mNbYY2bA69ZBjG1qYCA2nqcPQVqvDUkWs9jdvFJAhp0aLtkzCjfjrc4jVCrOrJyXVga8jmbZAuowwk1em43L8c31wzjb8CFJZFIJBLJ75T51+vOV/crNXyYz1Vb+URRLL/0Z40gCFuAWEBaREkkN8r5H78gTrvychbJ2WTiwfrVFBmXYqWx51Tiaqb1eR4fv7l0JxtJ+WA/Y15Ywm0/7MOqcwXlJXZkVsl7DNs1G9LxVbaQUprHnd7jsTbEU3VKhTbmGJ0RMgqdttC3O4bY0pFUN/ihmkuPLJJGoaPD1MqG5nSOJ/vxraWGQQF3kdqciK9g5hXxOWbILZhyIQFTkTXtcw9iKdRjWT2DHI/dhPqfRaVu51neQUDGS46NvygWtZ6D+UF2skdXvDMx/QnKDGKkP9gojFRv2kS1xpd5T8xkb2kNTvVy2qeB+6A4cnYkcTI8mYQrFmK5bcX4lp/hvfFDWNyiZ/DYR2k8VEhIoYbY2Fgyy3bS3rUW/4ETqa9pYLH5E2oNcVCdwlS7eDQKHef123CKSEFbKCesoB67kCiMtceYpG7jhFcQpyK2EeayEJcD8/F37scLzSYWNKp7ZLNMJgWFebF4lY65vheU5NZwLTVRt5LevP/qTT3VNT6uKOtNXdPNmRPVm8f9vbnWrEhvFgK9mhPViwKwW+hl/cUEQbABRgCLr7jNCpCJoth66fNxwMvX6xykRZRE8jP8VWsvZ5EcWky0alRsHawl1Gct5ogJPN86FlVJEWOm/IW6A2/Q1WWks7qRGaPDyXt8EGnlxxic0zOLpFN5U9vHCR9jJF52WvZZhOGz0566qLO4Twjnqb0hlGcamDFxEaYfj1CXWoCTuq1HFkmNknCDD4OMz2GXG4NV6N3YlPZFqFcz6fxh1BUe1AT60NZSwWndLNK7LLjHa3WPLoEO1DNRtY0yrw7gzv8zFrclLGPD3r/z0n3JF7vidZmZd6gPxk4jEXeOJOnIHk6EH2eAr4DOyZrSPf/g3cCH+Wz0QLo6uji2eQuhwSZ+iE5m9pFkHFugyQrWJygYGhLHD+aZzA2NZsOXH2JnssTvniA+2JxGSFQzw8bMpPxwNo6ZU1DUHumRzQo0TcCvsQOX5gOsnl7I0mFTsdvmg6WDFlv7c0TYGTHVN1BffpJ6lSMXIkNo2bS3RzZLiRxfeQj5+vzrf1FJJBKJRPI7dSOH7QqCsBYYycVtf2XAPwAlgCiKn1262wxgjyiK7Vcc6gJsubTLRgGsEUVx1/U6T2kRJZH8jCuzSAa1PYKxEb/GC2Sp1jNz6T9Y8vGjFFe/g/KhvYTOmci29ncpyung4cEPcC4gG2c0FFyVRWozNrHfbwNfKebQr6GOSSNe5ofzX3Hu4HkGP7WU52umYNHZSfi8baRl7qSrIR2dY2CPLFKN2ZXaXG9OFFnhWVXAwgcCWOe9juh2O6Kct9FooSHc/UnkCn/S88GpMJ+iOAUrZT/VAdXjxAbZIu4I+voXxWJ6lAfwGm/tzqa1qZMhNkk0q/bg7BeFztmavx+TE6uezdCpT1CelI7qrCOvep5lmOtkdq15AetaOUe85pDgvJJl92kvD9t9KC+YpjRnJoW4UlZ9Bue8ZNQRYcgtjXzv4MRO7YdMdQnjxPFPURiqyLgim6VX2dFStx9NjZkP/GOZXO+MlTGS0vLVqJxDeUM9libdUFbXiTTLB6HV+fF4/aPUGkb0yGa1o2dygg6/ajUPXsfrSSKRSCSS3zMR4UZ251vwC+7zDRdboV95WwEQeX3O6j9JiyiJ5Gf8T0e7/8kiWcjtCPQeh3vVTGKcHDgXJOC8wp5zDuuIXDCHHRsXMO7M95T4VZIwfzLfZ72PyymPK7JIerSiBYbiGSzu2EBuWyIRt79KkF8UBZpUZO1tNDlZ47lFpGVUIU0D29lhEhjfceSnLJLoiLyqkwkBu5h4TEurMgazlZHyvipsbdJQlfYhOL2c2kV6MsxHuVvZTp12L39WLu/RSAGgS7Bgi3IWy35hPKZHeVxaTMEHmzVYmw+RcOdDZO2/wGzFWtyGx+Jhq2X1Nwew6DYSO20RVc2dtJV/T9YAkd2Bb/YYtltucmBbeT8cas0E3z6QQ/u+Jn1MErOnLSD/RCl3da2gv/9kCqou4JZ1FE3/voguP2WzHFrgbN8l1Kpy8Y604yvZYm5ra6GlO4QI776MsP4WmbsjaXVKvIs2YSt8Q1PSiP+ozRIUKu6XqXA3NAG3/boXkUTyRyTrxW+ib1KL82tuVd6Lx1TIrn3vVm9anF/zY/bmyfaCqRdbF691W565FxeT2Xztx8r/AC3OJT1JiyiJ5GdcXYvUbmrhmN860oZ5MEJfz+Lhr7Fiz0pkiZWEzzDxLz8Vq1OOc3TNU8z76yrOdUQxN193OYukVrdjMGgozhtAtSyLqn3ZNI+7H+tJMg40WGJVn8h0j0fZ5nyc9FOVVAQupc/hrymKV/SYNfUPxXIOV8eS009Dn5x82htj2V0wjWSVBc/rfMl0aSMiqJxqJyOHm7RUlNhRP/A/B+kCNAg/f/v/ZeG4OExjdqGxUJC+7FVCdKNJeHI+6RnfIZZvxyIgCvfwIN458x17ux9ixshI5hqWs/KKYbtB2jTuajpEq7MWSwcFL8oHEGTlweO+k9n/1QcEKaYzYNRMUg+9w57x57hj6kKS1v+UzaqUy7jt9ApcXUxEVscy1mE9R7ReGDs3onD5GIdTIu4urriKh9g3s51goZkBtc5svao2S25spuvCLkqbNb25XCQSiUQi+cO7gcN2fxekaEgkP8NJ3UaM4zislDYIgoBWYYNRGEX+eR/+/d12NF5eDB0RQ2VQOaePbSE0egTxJaNpywintqCKkdbxlHpdzCI9bfE2i4VNPKL+mKowOf5VPsgUd3B+6wV8+k2mLtWNlO0pOA3rT5ijI6qKDh61b8Zkve0/Zk3l2KRgadrIeatR4N6H7kqRV/Vr+WfVXxGdO3ARszltHsvKnAX0zwkjrvA27M2tP/scXRWma4qNo1aNi86Ck3s/o7tWQKlVINhb8en+Kgzx5Qx9YgEdVc3ozm0mPiqbu+P7/seMJxutFYZhuSj6dpN+MIslNl/zSJyR1rwLVFbJaMIAdmoeaogG452EBExld2A8h1puZ3lJFylFZdzpXktT+2giCicT3nEHboV1eA3qRKu2JKZsBFGaGL6uGktz42K6W9050ZhPqOvFbFafjBdIOPww/S4sI6Z2HAGqMO5PL6LS0NWby0YikUgkkj8kUQSTKPtVPv4ortszEQRhuSAINYIgXPgv339SEITzlz4uCIJgEgTB/tL3igRBSLv0veSfO14iuZ762Q6iSFHHOtVxvlLvZ63qGH5FWhYLa6lLepusvJP4z42jOFTJI5U6KttNBCxdTJCbDzn7TrBggB9FQQqWV91JyxEz6j0VhO8/z7bMKeQluOJt3YFY3oTOqOAxp0O0tq2itCWb5ohWskJXYXbREX84ivF5xy7OmvJW0d/Pi6CTjkzbH4Fn1Qk6B2yhUrORfFeRz1o78ffrj8nVH/+qDr6qWIbe1ZsC+y7Gq7JR0N3j+VkIZp4L8r/m+HQZzVTmbqYgaC2hD40gN207Z/1cSY56FzuPAez5dAX+OeO53fIu5DILvEqH45Il8qb+CVaJc6jz0fG100s4VcyiaucpghMnMthvIfuzPkJvWk3wNBeKck8yxO8A4ZP8QN/GXKetbA0ZR5zsY/wMaxjbtYIcy+GkVZyg00PJs0zmfauPqC1Wc6wikVb7blL7eJAzbCSkfkd4WS1JHXMY6dzGsvtg3jNyXr0Dssp3kWoo4GBtJecbq3t55UgkEolEIrkVXM/tfN8AHwErf+6boii+BbwFIAjCVOCxq4ZlJYiiWHcdz08i+VlZVS1UqjvIct9xeSteq1FHQW4/bEsT6FsscOa9Y/T5MBYnu6U8d2YuKdt3ctvcj0ktXcNhVxt8DIPYUDsdIaMDwSwiw8ztuk8426xmfdOLTE7QkWL6EMcCDY6hcxi93pFmiwyc54Xz52MxdNdaYRMylhjNOz26BKYHxZLtLCdccYQ12mfoNur4sOwMfskONI6swhz5LSE2k1nmWcbt6myGOURSqhqAWt+Fi0pJhaEbD7WSv/m7McvV/ppjpFLIyNY9SHCIPc5WbmR9d5z7PA4xZeiLZOUm0nW+lgp3AwnDw9lQUISsLq9HV7x53rtxqw6nviKTTgbg7aygXi3jfLoD4QM9iYgaRdIH++iLiskLRpOVufZiNitkBZvcF1CHCw7UEfP9R/hXheLibkECqwmwCaL5hz2EVumxtbXmgYYXCLQYxn6vApJHJ5Po88YVtVl1FLT7slM1GoNlDe91P0yk+S3A69e7mCS3EPHaWpyLN77+5abpRU1Ur0p2rvHY3pxu71qcX/s10Zv26L8319zivDcXU29anPfipbkJZXI/Q+hd7P6ArtsiShTFI4Ig+P7Cuy/gqmFZEsnN0lVfTJ77rivagjthWdXEEM/jJFCIgzwcG5MjxUfTeWywH8u2WRG2zkxLdBGOCbfT+c1utlfvRF/ox3SO8JRqA+5CHWtqXBiaPpLKkgrC3x3IQ3uWsiHLih2Th3He4wymslIidDP5R/4ifDq88IyZzren5SzZAxbGi+fmXnuWgOC/cK65Ae8iE7YVezGOvIvc5I9wU+l51/5xFmkM3LPKEpsFNpywreNhrZLH+gfiaaH6VeP0/NLZAKSt2klZaQY+tqOwd/Tk2Ka/cDYgm/l3/ZOuri5asl+i2xDWsyteViypDYnUh2Zjykun3/yvKc34mt19h+IXPJumynbSMk7i5u6Og4crb3wHEyuH95jx1Naho9KjjcOebUS2PY17ipyYoUM46LaR3GlGors0yE5Pw2HMUPyL3ydercPTaWuP2iwHVQmfnPsIW/f+ZJ2cTV8/f2q7unFSKX/VWEkkEolE8nsmwh9qK96v4aY3lhAEQQNMAB6+4mYR2CMIggh8LoriFzfl5CS3pL5hEWwoU17R0KGCR5Vr6LJJoyQsmkWz7mb1zgc50JnO87J/MDf2TY6X7+b0xkMMe+oOSuweofpUK9NtpzLSdtXlgb19miwYU2fBOLEGjaUHU+r30b/hSbrr1zFw4FBON55A09hIrX0TZZkl3H7XA0x8F5rso8n3v9hqXWusp9X1ENZlIk+4Hufbrq0oLIczynU4xnYPZEl51Pg6kRfyd3zkAt4xXyBqAvG0CLo+wdI3833qC4Q29mfQnAROVybzacsERgYPo3/fiaSv3o+i1Bfnq7riIVjT4DeE5q7R9ItV4uQawJk1STzm+j1zJ7zHrm+exbHGkr7zoqlvOM8ebz+Gph3vkc1qsXRC31aNtVFBypH9RBaHYzXZg+6KMEZ6uJFy/hTWVVWoXDU8bbmQQFdrJud+0SOb5dWUzrOeTcys0TOpLYIVrSbWnMogOS4CK7n8+sRMIpFIJBLJ795NX0QBU4HjV23lixdFsVwQBGdgryAIWaIoHvm5gwVBuA+4D8Db2/v6n63kD+1CeTNBLtrLDR2ekq3HXV3HZgt7lLtDSc53RjPJBv2AuWRsL+Tr7sPcO2kM5ecqyLffT0TNMCL97ub8yWa8fT/vsRWvXtdOTZwlja7dFGXksDjeli2va1FsXknY5DsoLirjZMdexnVOJrVWi9oMRotoLvhF062/2Gq9U6bFFKKiyt8GV/doBr+3D8s+sNf5PP6tKj61eBlL/SAOmWS0mH15w2oZf1O4ce3VT/+7QwXthNi2o7ndBktXFwpXvEN4lIxFsfeiLyvn0L4kPDQWnIg4w6gzP3XFUxsacHHawobgOO6KHU/uvgsYigsJdZpMW7eS7o79ZCdYMWbMixxd9QN/tVpFrSG+RzYrxWU7r/aNZtSJElqzOiiXW2BvW8O/Qu7isUhn7L8+QLXog8amm4TAXYxw7Yd2Rc9sVlFTH0bVdHK6NoC97Tvp053BVHMLorkPyC2vU9QkEolEIvn9uVHDdn8vfguLqPlctZVPFMXyS3/WCIKwBYgFfnYRdSlL9QVAdHT0rbMZWPKr03eb+P7fz+Jn38j4Ot+LDR0uZZF82k3c5jaIvl0mqrPyWRQ4AXvNEPIPdVEb9yMe8915JTueo+m5fDn2Lip2vcXJqwb2qg0NOBT+SMVE+Lb5AM9G3403eVSkyUm4x58dB6aRltnO22NHocv+nLLUbDK8L7Va97jYar3T1Mr9xQYq29Xc4+LObv+ncG61w3pgJkp1DZ9V2KBUVHOf14O0ynUE2briY+N63WIW18eV9SO2MSHalzM7juCa05/ZohbvcUF89uPt+JUa8LlnLvKyph4znopd7MHjLhaeyydqnDerfnwATcNgQqaOZG15Mjs6H2Ly0Fi6G7tQnK2mj/MiGmt/7JHNclIOYgk7sM5rolxejn9IJPVpNrxi8w0THV9iRedy/FX2NBbGEJxZS7BTGJl13/fIZqXYBfO6yo7XKvbhro1AVtxGREcV6rjrFjKJ5PetV3VNN2dO1DUf24siFlkvapN6V091498GmXtRw2W6Ce/aejMn6lrKHn8Nvamn+rWICL2K3R/RTV1ECYJgA4wAFl9xmxUgE0Wx9dLn44CXb9IpSm4haoUMe68KzFvaiYlPuiqLBAcHHUXnOIVjJ5Yz485X8OmzBPOJFlI+OMDYF+/Cb18+o9qfpj3ECe9Jw+GDjB4Dew2Chg6bIezPdiG64QJlAa04DnLDq0DAkN3AP1VHuNCxHo3ddyh8/KlqbsNF3XbFwN5O1KhYUKYgzuIztNpVWIonqS1r4nPLv6LoEnjr+BfQoefEhDOozU6siRx6XWOmUsi4fWggzYZmKlZvp0Jjy7zHHuBYZSNWBVWUz+xm3Nzp2Lz0DDKXJpbdZ0uVQs7dh/uhLS8i1O4UB1KzMATkIh/pgpWDNRaHvyR4sDuL4u8i++M1pLd2M3xiADuafspm6VVW2NelYlkRzl6fI8Q6VRKV8ChVuy1x0C+gM8iGQL9yPPvEYMgsYlDZdJztgjhi0PbIZu2z348yzI6U8gv4dxwlquJlWjsCOdCoRynvZpSD7rrGTyKRSCSS3wspE9XTdVtECYKwFhgJOAqCUAb8A1ACiKL42aW7zQD2iKLYfsWhLsAW4eJvrBTAGlEUd12v85RI/ocgCMyKfYHNh3ZTXPXNf2SRhqRto2DRHj61vp/23CwWTniQ0p3LkHcItBfX8+xIB358zYajtV8z/tVXOLG258Declk9NXVpLMiooM5/E8nJbYyf/A9W7XiClrISrAYOxO8vp6h1Oo0pNpt8ZRORFaMuD+wV1F2YzEpKMj15pcmKRWIxfbxHoTJZMLwgB0VTMWVht1Ff04hjv0NYcQa4/4bELu/gGg757GVEyDh0znacPfI8n3o8zvtjojF3Cbwpm8+bbV8wub0CgwBvqk/h0qRjnW4IFbWZdAp/541Rc0nbdRi3zNH0Vfli1dXJ2pZPiTDb0zfubsrSGy9ns7QGWxL7L6Zec4SkfrdxqPJOVjiM4ULu69h5ObPbqGVP0xPc4z+b2kM/0NVRhoMqCI+rarPUNo5M0GeicyyiwdOGipwkkMl4K88wH79wAAAgAElEQVQTR5WcUQ4Db0j8JBKJRCKR/L5cz+58C37Bfb7hYiv0K28rACKvz1lJJD8vMbeW7Pw85iXE0D8iB7d90T2ySHrBgizvoWj255IQmkR38VsIf9rC8CUL2Zr9HOW5udw5ZhnONkU01NXSUNKMU48skh4Xn0ysfeyxOWOH47lgLE4oUK60pCTEj1Wt/dhuP5BNPrW0pyqpuH0hH+5v4x9ea37qEmh2RNbWxRK3T/nTJjtchErO+jcgCHUsUndwgiRsOm1QmhtYbfFnCrsFJogiQm+23/xCR/T9CLaLZsKcp6k8mo46tY3XfE4z3nscR5e/yu7AeIQs8WKNmVDHBO8KjjiF0egQw4jm9TjEhBBmb8m6bal0iE0M/vNk3jhTxwi5GY+FU+kSBKJaNZezWTS3MPHMF0S4tGGnM4OnH6YME7oGLcEjwulo/ozukX74OXahTj2BRWgfmspqSIxIZvTlbJYdYY0NmOva2W7hgU+bE1V6d6ztLHjY8DIecncu7RSWSCQSieSWJgJmqTtfD7+FmiiJ5KYrOreP9vxnSLX7G0F3zOZsSiHd+oPAxd7i0W6Tqe4qo67Zh0lDOij+QsYh86ckPP4cZ1unUnG6HX+/SqLmDyXrwBkyjiShcwwkUZWLSTADIklOfTlUPZiXnatwjx5FTuJ2Cs+eRybO4q6kl6nwtMPH1YTOaIGv6M6QlrHsiB3Ro0vgAvlBtrjPxjkoB+cuW2R9YU+LM50tbXA8Bd9JA8lvKeEZTz/qVIobsoACuHfiINRThyB0dLB7zXb8VP7EzVpMZV0jSc2rmBte3qO1OKIM+ljwUuJuPMomEfvAZM6e/TdNnZsJGDgctc6Kou7lrPJ6myMjRpCxPZkVV2SzyhVyCIPuljjazsXQNzaezM4vON4nmYGj52LYcpT51tk4eLvz6vAzTB83iLDzSuJdfqrNsmlTkjZwKHWqNrZH30W0nSWPbP8Qqwhfjpztj6XXAMyxIgLcsDhKfsdEwPybGOZyfcl6U9fUi2N78bjXPNqmF+8Xb9acqFuJ6Rrrc3q1ELhZs55uVjFWDwImaU5UD9KSUiIBJiX0xzYplNL3StBY6eg0nsfbKogpnn9iru9TlDlUUjQpC71zMqOGPY2lbjplGV3UFZeyxHMYC3iDtF134h/Xn6a+Z1nuWUSqugJ75zxiYjcTP2wVdk2V/Kvi73QpdhA6MRhvj1gqUyv4W5CJC9YpJBZ9jUf8EFL9duNMHutEy8sDe2V6EwOFXDydNhLXsB2Ntht/s4o80wyOnQ4juiYEW/F+inUVVAV8h6+6lfGONjcsflq1AqVcxq7j7+FeWITWyw6tpz3Ppp6jrnH8xUG5rivQDZdhGOeG9Ug5SzrfRqjX0SE3IPO0ZeXRDrQDDIy6+17KDmXRrzCNT33zUMu7qNywjN2B8TxjupcysyNu3SbELjs21Q1AW9KKU5gXqRmODHfui7Kpi9DiCAZbTue7DAUPIWec82DSzu0mqk3DeJcmlt0Hf7lfoEkVi6OtlkecP+EO++/5cmQ6x4eLjKuPx9kikBGnszje1HbD4iiRSCQSieT3QVpESW55BqMJW6dQ3IcuRWWjIX/bEbw1nti7DGC71QX+bXGAGssmPqtZQob9AEwKFdGL43Dw8ubM/j0MDfRC1tIXx31xVCXloY56COtjbWicM6kNlvO0xdssFjaS6DKGPaoOGkvS0drqaIo8z5k+2zHZ65h4NgqP1XbYRQgcCwpnv9DE9Ozh6PMEpnGUY6o/84XFy5iTtfTJz6XC2o9zmhqGdpSzt+MRlG46qlWpWNrXcsy7P00y0w2PY5vBSOf5I6SOPUHwI5MoSssnwvBvjAnBeJUOxyVL5E39E6wS57Cs4xncmyopdFpNv/tiyE/fwLGAQNKHvo9o6cWpLVsIzRzOkH53kn/0B47E5DDXaStbQ8YRJ/sYP8MahslfJai8nA69EdGiihXBUzk14hnKjlZyqjYdMdCW7yyU3O31L7q7bGjqCOBN2XwS2ozsKavg/aZKItM/JrztPObzrlhV9ecxZTUTceJQ8bd0KU6g6Uyho6P4hsdSIpFIJJLfkv/ZzvdrfPxRSNv5JLe0mhY977z3ClMTEhi0dCzbPy3iqLACf+exlxs6qNXtGAxWPHC+kXbZfg4fNDJ2zHOkN6zia8sw7OqKGT37XQ5+tJycXceZ8NRiGu2+pyxoMCurFl7aildJuYUlcXWTsTT7kp9cjnLQDD7b0Q72IgNH3EnByR8JbtFQcSGA/Vkm/EaOZ3rh4csDe6tl7jyaNRlbhRMlNvtw6J9BoIMD97qoeEiVxxi3iWQaA9gtM/Gw3O2Gx1KrVlAc9BwxgV7YKh1I/XYLHroYFi6ewfG6z3q0Fu90UVKsVxFsW4ebYwDpK8/zqMdOZoz5J6e+/xfmRivUYc5gDUtLHZhsmI53buMVg3KdmV16kh9IxNvKDZdD/XhRsYLxXi+ze8V7hNfqsHG3ZU7dc7iGhpJsiMI37zPeSXjxcm2Wq6KR9+5oJrBkPLfVTSI3KpDXW1/i4a5QBKsgELU80PQSYeKyGx5Lya1DNP8Wtun8DvSmxfk1v2e7SW3Ke7Hv61p3PcqFm/PGtjc73MzXmAfoVYtzc28uxGs/9LfQ4hyQtvNd5Y+zHJRIrkF3dxeeVps4seFpBJkZz8kufNQxn1LPw1SHCJezSE9bvE3LgHZCTnlRs1xGS20bPiOfxOFMEylr38Ul3B3PsAEUeB2gsS6dUO1MNtTOYHrWHhLND1GoXsgp8wOIVpY4KctpPJLEILsB/LPhDWKS/0zoUG8CPeMxZrfyktV2JhifxC/Amljb7y62Wv8C1vzTjNBZRYcpHY02n7/o3+WQLJxXVtgQnKrnkK4QT30T5+LCidJpbko8n5g1gtGR/qSvXklmbTM2ls64+rpTbnKhoTqFqe0R3K0fRQTF6GJaUXe6kbU1mfaSXMKNszDL7cmpWkGhz1rClsSRlnSEBI9t+MwYjFfZiB7ZrIJWN/obBzCgZjrqM3p8U5dg7nZG75dJ5VI5Ym4bslODCTLPwy31B07MaeiRzVrQ+QZDK6IpUkRysGw9Jods8ob3w6jLY2DKy3h3yqlPmYNoDuBwQ+tNiadEIpFIJJLfJmkRJbmleTjo6Gs9H+umxSQuP0C/0IU8WLeFoiAFy6vupOWIGfWeSloPmVhRdx9lcYPQaA1krt5JfzsvpvukU5lxlPOnd+Az15fVLuP4W3Y9UTOeYHzesYsDe71VRPp5sdDdkmjH5Ric3UhzOoqgr6XAS0fasULUWgX5fX4kR/U5VcFRWO3SYTS2kF4lZ0pyNDlhL3NoxEc4OI+lv+c0aordGXzyBI3pBtKiHqGAvvhF/4DMYR9OKuVNjamhuZrVFe9jrT/AqMVjqalJwwoXKkQvfqhYzaaid3AvHcrIfc64NdmQvPcl5A1mQmeNZnVRMqfrZxI87AUsBEvaf2yk/xlXZnuNpaUmjT7l48k8uZCTiXOxDWjmZN9R6EtLuFBVTKeTyJoGI+cb78Ij4HmOHtqFR6UJ+wBPXqweQ0vnIz1qszIH9+fF8IcZVXkSx+5+ODXm8J7wDDaWmbx5v4lSQwV9m61Z19LJ/JQ8ijoNNzWuEolEIpHcLKIoSNv5riJt55PcspKLGnC1sWDw4udoSn2LzrpmxLoWoscN5/Z0J4SMDgSziBwTL8vfZnvWGL7qM5z3zU2kOG3Eo8KXASOfpmP7VlLXFrPwvan4V+QwseEZCPmKGM1GXnfSoZfJ8KgTeXJbXzbFFTPEbTlHg2Yhq0thvu2d7FTUUpHeTmXYGN4s9mGfiw073exorNQxOL1nq/V8rRelnh2EnFEyPfR97DrjOS1zpblewTrrJ/BXWRJ7k+O6M7+bSJMNwXfPROXsTPI7e3Gq3EO390IUNqGIZj1ZFWdBEUy55hwBXgVo+g5CqVagyvwYcVgEo0dMJmvVIXJKzxAyIg6VVktJRxlUw1S7EeiVMhzyN6ItrOKC3XEG5/QhJn4W+Q0fUjWiL+HezhzOaKfD0wuFspiyMGvifEMIWOVKNzt40/8J6rW2qDUGkh0MeJKOR/bfaW5ehMy1medr7KnUWlHUnklsVx7PkI27/AtAfZOjK5FIJBLJzWH6Ay2Afg3SIkpySxJFkR/Xf4q34kcW3/sdEQumsr1+Gbm5TTwy+BH03x9kOkd4SrUBd6GOJxUuJGTsIsMYRMTDfXgpeQ6bjzeybfYYdAMS0TZbU5NcyIvxVvz7AwHh209Y5SpnYKbIwkNG7NpUHI4eQEilE9/6H6YrL4yUs9nMWXoftj+8Sk2yEd2E8Tye8jyVzvdip8qmObeZcqeIHq3WZWIBlSE+2Agqktu9sGloZJHfXQidArnOIbhbqG5uYIFJ/dxJ0m1mYIADKd+fwJxXzMnwZBLOQonvpeHFQgjulZtZt3QCSZWvs2bYbM6t24lzeTwPDeqHTVcz3556noCWQUTPGkdK0XYsFf0paT9BSXsmDmp3vBv7kNqWQWh4G7l9C4lzcEexX85SjxYqq/ZRYLmagbF3knbUnj+3f8JI61doN2gQKiaRVBOMQdmC0G3BaIfliNb+GPMKCLV14WnNALqdh/J28kEEg5aqTA2KxnZkw7Q3O7SSX4kgCBOAfwFy4CtRFN+46vvewArA9tJ9nhFFccf/+YN/E22Iry+hF7Uzveos3Zv3btdaxtGL8o/e1ETJelM8cwu51jf05l68sGIv6ql69bJKl8RvkrSIktySBEEgIUZB1qcKDnZ8wphn/8HhXYsIOHCUdIcspnf91NChSuHF1HNWdFvOYnF9Gu7usxnSVkFc+f0UprzMmKULWfnjg2S0JHJP7FtEdl+gPNdMQHMiM5IGkhN2ceHgbk7DynEI9Tl5zIxJZl33Gipb++IZGkeWIYM73Fp4zSEZZbsdYUHjKOuspdN4Cm+rIPrZjUCj0NEitnFbsQXOHVV8mK6gtdlExuwiSqvz+bvvCBSKm/9XWqWQMTTQkbr2GsqWv0W99SBCA0yX5zM5tEC9DrJGTGae6Qeihk7AoqmK1KP5WFrqCRnWn08PJuIaWInDQneUSjUZP57Do7aAYtcEurtOUm+ooL6rhYqBwzikj2da2GBO79xLeHEYfeKGsTfpR/qFdTJixBTOf5aKt3gvyol9SW16nRiHBALNbohdIumW8HWzFc4dKvq0GPH1gIEuP6Lz9WVn0T485HYMrnwIsbsPX1Y0YDCb+Yuv680OsaQXBEGQAx8DY4EyIEkQhG2iKGZccbfngA2iKH4qCEIYsAPwveEnK5FIJL8RIr1bgP4R3fx3XBLJTTI0/i+UrVFSXVBPVXYhr/SJYPv5xziy+iSx9tUcqtby3CZwaDFRa6unpl89KmdP6ouqeW1cCO//3R7l2WMErZhHc+QkNh5RYONeR/CMwTgeq8E7JZosn4GXt+JVan1RRhwmuFyNctgsRiw6SVtzIpZT+lLdeIEKZRTxySHYHqqn+68NmNq/xbsw5mKrdeUF2gQ9apQsyW/Dz1xAbfR9FKScJTKklCa3c5jNLYD9zQ7rZZnbv+ZATDpjY2LYfXIOI51Xsuw+LVUKOcGNNsy5YIHlyZEMnnY7q7b/CU1jIRFT7qBbbGSNsQMr3ftsjp3Gsc07CSgJZEf4hkvZrJkXs1mGBgZYb4JIL2YNnM3xr36gVq0lMsyWZbn98XT6kpg2R84Unse7fxDJnbXUGrQk1e2hn108GoUOs+1ZkgJiWbxnD+EF5TgPsKMmN5M+vjbU2Jdi4+FL2oGdWDrZcrLKTLdghejjIg3f/X2LBfJEUSwAEARhHTANuHIRJQK6S5/bABU39AwlEonkN0eQtvNdRVpESW45F8qb+WHfPu6aNonYpSPJ2HWaU0e/Y/q9T1PWNprCshDSDV8y5Wz05SyS2tCAe10iReN381VJLU8Of5b44CfJunCe5O8PMiVhKv5dw6hPtCZi8U7WVj6JviIcN3kl/dwXoVHoaDc28ZImnyTnfiRZBnA2dD7FpdWM9erPp2cdyDHYMi9sCedz04h19eLx9DdY7pxzudW6Ut2JaJJRc0FDsqqbWQ6VBCtlJCnn8qYwgxHdGoJu/m6+y05qRuFvJzBuzF+5u+4U5iyR5W3rcRfq2VhuoqPNmi2ednh3tlOWJuA1VknkzEUcWrmD23UriRu+ELG7gZrvk6nTWRAe0jObVe7mQKf3YgZXFdHld5oL6o1EhsdTUpTH3W6fE+czjayDifhUG4mKjCQj7yM8aqsodo2mpGI1mFtRWTrwesdWmmUmlg9v4JG+i/DcMw2lawSna8uJ9BxJk6kRW2cv5re8hZ02AEEYdrNDK+kdD6D0iq/LgEFX3edFYI8gCI8AVsCYn/tBgiDcB9wHYCGTtntKJBLJrURaREluORXFOThXPcaBH79nwcIVZNet459iJMb8dMY8+g7mlz7BIz2a/KCFmOVqRNGEXm1LscNYTjRl051mYo/FWYbdPR7jW2YKi1KYqonnmH04PhsUNIWmoYobjvXpDGIcxqGQKRER0Srt8E8JZ774Mg0ZjxEw0BpFpg1O9Va83LCasKYcLAc8i2OtL9R4MOPsGko9ywkITkQuN/GdeRYZsn5MtXqNUesF+jwRyiEHPVNU1viEWRNkZXGzQ9vDX6dEI5fF0N3QgJ17O5uEyWzNHY6FvpO/Bv6Vwo7vSI1/kdykl1kdMYvXYsOpKmqg/VQ6YW4ziZw+k0M7nuKC3X5Gj1vCxrOzGOm86mI2Sy5j4alBeJXmccFWpPhYDQMC20mYcTuZG6tx0scS2m8c68xTyR7RzYiYf1D9sTupET8w+szFbJZeZUtIez1tyc20W27ib5Z6OqrqaKk8R5tzAN+GziDMGaJSP8Uj/Da2Jo0kIrw/Td1GVDIZGrn0G7k/sAXAN6IoviMIwhDgW0EQIkRR7DHWRhTFL4AvAGyUzlLVwv+lNxnc3pSiXOOxQm/qmm7SnCj576x4pjdzh651a1lv5kTdrFlPvbgkfjUXh+1KuzCuJC2iJLecsdERfLU+ANlJPypCCwlJeJqI9z+mKW8Ftn9ai8OYgVzo8KfLWICx7RiYWwnUDaTCZE9Eogdeoc9zbs9ahkYdQD1WxXFjLeayw8wd9AJrE9fRseckUY/dg8LWmiJFHcmKAvTKJpTImdzhyVrrOjLOLufBSctZ1f43Wooa0URYsHZfPX8e78pht0OE1NmS4LIJC38FJ+VD2MAiGio1OOeVI9PGUuM9lgK5ka6QrZjwYqbL+Jsd1v8gvzT1cX3ii8xQGljptoQud1e6DCYOnX6YjPBQ7ireiaHGlVe9TnKb91h2PXI3pZ39GT02mpyONjad0xEX7MewqUtYdOE4NMHytg3IFY0cK02nW+nL7sDhmLW27LL4nEGKYC5kbMLZ05NMo5ymkgjGBQdRmpKJe6kSnU/z5WyWlV5HRv8YWlRtrBtwO+tNHrxV3kmNPJKhyhQedT+In91w3pxWzL0DrJm40w+DtTcDE9N5ys+V+71dbnKEJdeoHPC64mvPS7dd6W5gAoAoiicEQbAAHIGaG3KGEolE8htkkiYj9SBFQ3JLqW8zIKgsmbzwU0y2XWRt2o+f2paZUQa6kjo48OXHDJgSQzvVuAulTHFfxFzfp2jx0qANzcHCVI2N62yCk8aT8+VhIoeO5XTBMPI37kcT6MqAPqF0qMGhrZkKdQeZ7jsIHbyG/nHbKI8zcNInmXGnQgg6OJhumZmGcCtWW8qJko9iZM4MOs9XYBFdSrHDbmo7+5OsjuKriiW0HDEzNOMkmxV/JkU5iGbjj2DI5KjHELIVv4FfUf0Xta0GzGcKL85nMn+Oo1gDKhnn4gcwS7ce3TFHrIqMDB1wO9lpyRxxS0QI3kfQoEDyTr/EyX79sJr1Nvo2EYtAke8ZRnzXB7ysf5DMkdmsGahhqEUXf1J9xsdRtWT/+AGWzfYED46jon4rX/S7Havx91KzL5e0dj1RbZaMd2li2X3w3oxu2uQxONq3MbTPOaYMLqW+aCX9y1dQl+OM6pwLThUK3hRrCe50ZkfJCgTLc4SbE/mwuAy3g+eJTkznu6qGmx1myf+fJCBIEAQ/QRBUwHxg21X3KQFGAwiCEApYALU39CwlEolE8psmZaIkt4x2g5Flb7/ByCANt817jKDYeJIsV6O9YMnw0c9Qs1FHaWobzVXNuMursXeOvNzQwcM7k89t5zHWUMwDM55n9aHXaM4pRtGm4FOPUpbX/sieEy6ETruNw2Vb2VmvxOR+juoQgY9lb1MnOuKenE+xawna/vXIC8soOp9Ete09NB84QOeiqVQ5ncJckslOjwe5kNfFeotq5lXqmJ61h6dk6zFrGnnA0g3bloPEuS/Eut2dUw7RhCl+O80kruZkrUYf/wY+e8/QzQHe9H8Ctbodg8GKrFxHXMubsBo4FPs+bszeXMjkrhFMveuvVF3IpemkE895n2O6z21s+eox5nrrWRm2ADFPzz59NGFNTmT4R/BAynlUTfPwT5jCV4Y3qQyHyUMfpGX9Cl533E+U9i1WFX5AiMyPf8rm80bbF0xur+DfClssa/5JuL0djXlq+geL7AjLQTsyhPF5MiZ2TuKTLmfOd73Px+Vd6DSz+VHvxTmzmW6jHIAyQzdPZF8sr5nl+tt9HSQ/EUXRKAjCw8BuLrYvXy6KYrogCC8DyaIobgMeB74UBOExLu5iuUsUb4H+5RKJRPJfiAjSdr6rSIsoyS1DEGCIy2FSjjYQEhpF8MJBvHsijxUntWzykxG1KJ6C42kk7dmJzjGQRFUupksbkTOqoggtyiVEvg8VdzBm3iy2Z3yKkPRvIkctZOIXJ2jNEXH92IMtGUvxOZ9NYH8FK6sWQJ4etb6Sv2n+RVNdK0X9BjLJPInWPAMPjW4hw/oN5BWtDAwciNClZprBxKPFzyJE/53xZ44yUvctS+21NJvcePtrV7o9czgRnolXRydJQ+Zj/I2/t7tvdDgbV39DH2E852pCaBP0yGTWqMVsCsYdZMHSf5J+PIURtuuQTxmOq5sfa97/Clt9N4Nn3kFORT365u345I5kacgKNrkvoA4fstHxeNJyCloiCeqjYnddGy010QwP70tVRjahhSNxdPKmLOUc8v4V2MbMZHdRJGSJPCVbT7yimZQEEwcr5hBd3A9FVDQh5dvxd53A6cJEdK62dDuGIhvtSf6F7/EpP8EHpo/pvip/32kWeb2gUlpE/Y5cmvm046rbXrji8wxg6DX84F6f22+erDd1Tb2Yz9Ob927XWhMlk2Y9/RIm8dp3Q5h7EaZr7RRnNN+MoWO9rGv6jVxOZmkDWw/SIkpyy9CoFPRLeAXT3v2c+PIsC98dSpz1WOa2TOLYjnjmz1tBdssGPlD3ZVxJBfbOefj6nb+cOanKcCInv4GdK99l1NIXaJVp+EtNMBuNVmhvW4Q5KYnKo6m8bt9JWsmbfFj7OUJGB8Kl/yW+Vbox70A754ZFEBNRSrt6FxFe/yQj3wVZ9Tl0Q/pS2LiSSS4zeNC5iXu0ZcRoNvK6kw69TIZMBqcj59KuaiMoeBP2bg4ohHkoZb/9f9RKOsqgGqZemnd11msnT2hnE1wSwf1KL9K3HSbCNoLxD93GsQurcLqQiHpwPPbB3jx+ZB/mtvu5u8EPIzsuZ7O6OjUc6RAYUFdH/MSPWFv2PpsHTmPWqOGkv7GN8orzzB4Qy5KzRpxbHmFa2IMsNDzEv1nC1rzhBLSX0tapYVR3LbKG3Vja+vOC11/4QqdC29yJX3Qf1A0fs0DrRL5tGcf+H3v3HR5VmTZ+/HtmkinpvfcQkpBGIA0IvXeCgNJUXMWCvfdd66prR1ZEQOmCgEjvPbSENNJ7b5PeZlJmzu8PkNX3t2+RgBH2fK7ruYCZOdecc2cmzDPPfd/PIhVVgsi/+0+0orPrjw+qRCKRSCSSPiNNoiT/ERKLG2jXdTHCfyiFQ7NRa1RkH7zMk1PD+fSQJz6bHaj2yqLf6OfwWfEdJg4FaPzlfC37mDrssVXVERe8nrBzwRRcVBExtR4X12dYdnoZFT3HiJn1MntrsrhYuYcZ9zxN8SofdIECszjNi4ptuAh1FJc7cMT2eQKKlPje68mU81Fom62IVd5PUZMlA8ONWFE4HFNTO5790QXTmHy+7CdncJbIgpM92LZAYvBJTE2VrDcbSrNxHIf1Ima3wbtYbTSQ0vbzlLZnYSQYY2MxkOdNv8NQ6kfKqm/JaWhjQEgwoqkZFcf2UTgpiyVL/05JaiGR7WvoHDcEl59MECqnkHhtNavCyJnpiq/oiVIiGFljuKzlTdd4zPV+9KR9R6BbCIIpBJpvQzlpMIqGUiI6kxFcYKvLIrL0g7AU6xj+2Ul0TubY1G1nWb8Suuwn0qZbjpXLx1xJGIN1eCiWpd8xz96GA2I99YLd/3d9tkh1URKJRCK5c4ki6KV0vt+4DT5+SSS9d/DoEfzr36Bq9ldMeHgRGzc9w0GTy9h1erFo6gr2lm4h/efTjBm8lCn+VSRYqlhfveBaKl4lJvIm1vd/gIfH/ERsoTv5ey6z8JHJfOjURPa+4wwe9iA2I5p5tzUI5/Z23EKWMavjFKOsNvKAjRnVRu64uArcczGJ8TI/rBVzmJX2CbIaGYqhUVgcOk59YzhFKQbONNgwJPRexG4Zvjl7iUsYfH2/qiBlC2oTOJq7j9DpnpgZyfs6tP8n7nUZFDmOprvrAj2GVmzL1cgLIzFvuMjPDRkEi94Mv+sJtuVs42OTe5kd4I6D2pUzW9biaDKaUQ/N4VTTV0TajqafwRkDIitCL/BM7Sc8lJWG0dadBJQHMSB2NAXHd5M2toAZEx6gIb4Gr9J2xo0P5FzJBmoKI4nxP8Mw+VmQQ1ernp9DTHA0cyQoYS4OgiUhbokcGtlBm3EnwXWmyO0dedD8PuZ7OZiomDYAACAASURBVDJP/IA14qN0Cf9qJ68QdcwV13OtD4FE8vv0IhXqdiP2qsV5L1IBb3SxvhenayTT3/CxMm78NfHnz0u4eW60U1xftTjvVXv03uQ93kRSTdRv/Se93yT/wR4f60Z2vpqEv+1EMBboN+lu4q8MZs3mXThEDiAsYih53gmkpm1nyJhX2FYXh5DZgUynx4EmXrN4iUnl37DJcjI1/ZpI8NxAdUMqc7yeQqZ8gHM7UnAJexavxAqyd24lYFYgUVY7OFlrxuur4IcP9Ly6ugeDtTH5bk20V5cx1ecSSezAPcgDlVMwQkk7n8m/5fHyp7C2r8W6I5/JaRFke0bQ3LkTXdNnXDIc46LLPuadM/Chv/v/fuF/EvtDEgkoScRSORul5dMUd3pgU5TGeyOHM1BlScyj99HVJtIef4LFPsd4abQ/meu3kKlpwNLWGisXe2o6zUioO0x7dzPdYg8ejWm8JvseRUsTXeeKKe3pwjTUgWUNAVR3P4W/x12kH9nHwPJheLuHUHWxHveyERTkDEWnM0UUIbcigiWWLYxojsK5yJghpoN4pzqWKy2P01blwoXmAiwtMhkccJkI7xoiOpN5kK+vdhkURRSijtEcIaIzua9DLJFIJBLJLXO1sYTspow7xZ1zJRLJ/8DKexijfJ+m1sia8xv3McxzBC+ZnqC+bAXxFzbhu2gIab5eLMmwpEvpgC5fYCZnOKt4kovKx0ivMWPaaTPskxsZMjeWLxsf5ukDNbiPmomLdSsmdd14dxoxx/UcOTWb6bQ1JqNazpKDYN8CHSaOyGX98T13EXHwFZK1O5C7zeKejW6oKitoGHCAOtNvueJhx2f1rQwIHonWzoVy+yC6dSfA0Hr1OkzT6Q5uojXApI8j+vsU+IvsjLpM/8w3GXP6CYLT3+L40BJCAqrYFfkcvlGz2bdiLf0KRzDX6nFoaWRj6SfYay8xZsEEiosPMKA0nSq9M3srN3G0fC0DsschSxiOh9kpElx34T1TSW76WUb6HGLMTC9azp+gut0FfYA7yW1ZvGs/n5a6fPpXTCTrwgLOnl7EOvX9PKRcSbnGhsuNZWi9RLJ8LGkfNwzliXUE1TdRUaliSvkphjXXUFUYSYz+PF/wKBuYiwsVOInVVBVG9nWIJRKJRCKR/IGkdD7JHWtXcgV/P5CFS2s6jSY+PDF2OIHNCvKaLuJTEU7wnOcQ7hXIqShn0JdqvM3uZkplHEkHRzKry/o3qXij8m0pd3JhYWsmbnbzeaZzOcbNn1Be9hVhc2ZwIO9vCNk1OIc8yPgfj1NvcpnJZ6HJJoICnxnojJX0aE/jV2PO1oopNJU4cTDGg10BXTRntlM8bCofa9zY1JSOb4IFdZHVCKGb0OY54WHqR+i1hgyZJh3cJzgx2vQof+nrAP8Oixr0LA80Jj7oavqhYIC3M+NoyCxg/OxgUlMPok9vpNbHmJFD/XlgZzyzVXr8npyGYGZBwpoc3HWJhBRBgc9stEYGMuuacapNZn/kOEaZpBMdM53zX5wiVG3JxEHDWX56Ee4tGgaN2sypCxtZ5l1MZXwU1KQy3ToWg7EctctmutSW6M6XElJvjZmlBc/WPs9As/l8GpSEXZQj9xaY0lO5gK3uA/Et11GAHg+fJJTKdt4WX6Kmwh+H8rv7OMISiUQikdxa+t7kuN6BpEmU5I60K7mCsz/9k51sIcVKS2a7KWcOziZm2GSyFBc4nJ7AhglzKI6bgkdGDVk/nuLlRcN5+7g1Yd/riBq9g5M1Zry+HWxb9NRb1FIfLafZUUV+WgZzJsWw52k38jMPM3blxyRoh7G8NIRT06JJ9UqnszgHa1UE6d4RdHfuRKZtZ5j7IqrN25h8Ko0p/f+KtdEKvCyasdNYoO4cSvSZjTRMvIdcx2osxBbW2C3lLyZJ2DgOur5fldJgzEuXQ7Apa+zrEP8uhV3zeUWzlpU2ZlQbyZma6UF9bQ1iuzXWTt6c3/MQaT51LHl0LSUlaTSYpPBV4CfsixnPiW934Fyp5kAszDucyLDaREQEBETyZ9qQEj6Z6IA4SlMaKCm8QL9BEeR1yAjX1GIy0x+D0gKjxH4EuwRQhTGVokBp5SacTFxQptqjLnegMuo0mTYtPFeppOPyPJoch/NE1/vY9J/E6SP7USlNyLYMwL42/Tet2gVEQro90DRk9nWIJX1O7F2/5j+acIOJKL2pa+pF7kuftDjvzaUKN/5akPfq2Bs+tE/05kP5jdbnGHozETD0TT1VL14SN42IVBP1X0npfJI7Usq+VbwtrMJVVo+2wZj+CTOZU15KdsoJavTzGH3he1JPrGXE/dOo8WzkuN1GqtoK+cvQf1Dt4ElG1b9S8WRc/dM+6QhNYcl82XAEU6fBuAc8Qkm3kuKkDHyMJ/JR4Us0JW9lxKhY2hwtyfYMuZ6KJ5cZk2B9kZrAo3gqdXwpqFiXvhuPmBEkmBYSpyphvO0qzLWbGWzrgrrahsYMB8wdgsl1PURgzGZiR2wgfOgmVKqdOFn593WIf5eBU5dyru1e1pZ2kVJUhklnEZb1ldjPjGNXSTw766fiG/ksnu6hFG3KYXrZRVZH2lOiyUG3+xyl2g6CnPV8Nwk0FiAiUmmtoF09m2WVO7jX25Pkra+garIkcPoEDtac4CmL9+mM/ZzkQ+k0VqQQGOaHQ9UeFEY+qCwfQmewYlBpAI1iKB6t/txtHUfC+X041reSaWrNfbpPSLecS5MuGLXXSEa2fUFpRzkNNUlMbw/mL7ox3KcbxQZfez4ZO6KvQyyRSCQSieQPJK1ESe5ID3Zt5IS5EV9Y29GklzO/WsDEdCiLO3ZhF/MU/0gvQ/7tRgb4jSNy7lBmHBpI7vYUvnloEeEXqwj8adu/UvEUFsi6a/EvOExmhhe0tXDe6Ayh9w9FsVpGUXwOLy0Zzqtnuyna/R33PLeFdsuv0OYY/SYVL8VpK5+7T2BQ8SXuvzwYbbodxq8bEOwT0Nn0J73EHrRFqLz8KOwo5VNVPFlucnz9zyGX6znOeNqNTZnsv4cy5MC9fR3m/7NZ4a7AY9x9aCx1Tc187PwcDdG2zI/0Y/3+B7EZ5s/U4feQvTOBqoIkgs1m4OAUxvF1Czg+4AoL57zH+t13McphI+8uvbqaNT0tgqiKVjSN/SjIySfXMxWbIWrUZgocz/3Aq4EORDtHkrhzA8b2YTgPDOEfoYnEJYiUes2gQ+5LWnsbgu9J3nR9im+97Wg+FI/MxQa17gdcRtkjMytlUPK3uI97kh2JrqiNzK+3av9FYKQrLrhhECcj681X1xKJRCKR/GkJd1RTiJtBmkRJ7kjJ5lqO1Fjx+o9X0/E0HlnkBUOJvRX3myuZ6/UsZ9IbObjmADP+upTXxPfJq/uOswmd9L9vMhkH/pWKh7aVYNsxVPtFMOHoFTqmnCb+9D5injtGS1g12bbJBOgDieuaSWqDI211Bo4pHuFu9cHfpOI1NQQjlulpkvljmDqQ/JNb8JaZ8I/6V7goM+MB7Tzqy50wu7sAg/44uboAnGXnuSAfwjYWUoc9xnRjI69jsE9CX4f4d5sV7sqscFeqmrUcTA0ibrAXp77egmvTOGIcg7HsamLfvtcw140kaOFUTtZksK48ivF+QURETmP2QTU0wdq2bSiMGjifXU+zqQtfu0RzoLiF4I55zB/+MBk/H8OjcAb+3oPpuLKHLRGJzIgJpi6/4mqDC+EyC04mYtZpRZesmctDfXjF4QpmFo/jnvMtXqMe5ExCCfdb52NlsOb9vzTxmo8to5OHUajZQpHT1VbtGFoRZeZ4a5oxbdZIEyiJRCKR3NF6lQp5B5ImUZI7Uny1FdMuDyZ3wEw6ldYoOusxku/gXdkyKs6V8NqsxdSkfEOr0ENxcg4TZs/FZEkCFRmVRKy0J9MzBGd5FaEuCzExsuCMSSJdTudpYQBejgsx39xBsfM5QmeO5/mdIaQ2tPDJvcuo+eArNIfP8eDoEGS/pOJda0LQ3G7NlCud1DsY8Bm8Ceu8KViVmXJ38SnCSovojppATfxuOu3m8FLJJL5uuEiiq441/Gtfom4UrBYfRVR+zdQ+jvGNcrZUs2REf0rTL1CSXIvCysDoYUGs3rUDMaQUr6HmqEyNqT3xEfqYCEbEPkX9lSJU/UR+zhzO7q5Y5uqPIw7bTWa3G15OLUQrdiKfFI2LUs2hcyWYqFoZEhbHo6svM1Pmy4zoezi/8jiL5L9ucNGGXYclT5fE0VpegE3bPjbdXc+iYH/8t9lga+7C0YzjPK3zgWolJ8rWknF9JWs2nUobzLubMC1toJQMTje0MtzaDEGaTEnuZLfbXk+90YtCFFkvCmDkvdgn6kbJelHdoe/F+famJqov9okS+6qu6U9QE/VHEgRhLTANqBVFMfjf3D8K+BkounbTTlEU37523yTgC0AOrBZF8YNbdZ7SupzkjjQkfTAFfgvoVNmg77yMzlhOXeESFuXtwjYxjpr6K0QunUt16Bn+0bAXY3MfnKY+jIkZ5G0/hqOilUi7CZgaWyIIAs429XzmuIiEAc6MmfYc9U5KypJScFP2543O44ypuhe5WTXmAUGkqE8T4yqjzO00vv7nUKnaaRPMsDRr5LRTF7p4MNUbuORyllO1P3JPYBGnzU9i56VmhPNdWDX4ER5/kQ7C2Mbi32zsCtAlqPhRdvuk8v073XoDBxPeoat7J8PuDqWhJZMvceKc1XsMHfI8SZv2YZIVzXPdAfipVPyw4zHuttuFOMAEg0rOQX009R33ke0zk8eLG/C67MMSlyn8lLYc78JjDIntT6PmHFle5iRMeJ326m6Scmq53D6HVzQtOHf3IIgiAVXu9FTlUdAB71cMQWxZgq5CTU7ZQbp9RT6xHsGKgDfgQgo26gm/adU+6tTj2Oe+g3VzOxe8rZmXWsDllo6+Dq1EIpFIJDedKIJeFG7K+D/4Hpj0vzzmjCiKA6+NXyZQcmAFMBkYAMwXBGFALy77fyStREnuSBrnGXT1FNLTepqBdsNpUldRVg8uxipMU11IydnBxK/+RlvDI8h3HCa+dT3jFs7joKaMS0ZrGW51H8VGdSQaFdIm6DBqtMa/qZTJ4laMe8YyetIEjhUcICUxnuAxg0h/+Qy5PdtxmhLGhioXLDoqcPZJuJ6KV6+1xqiri5e7PsFgMZmSPD1WEd2c7hQwNx/F4vcuYftiJ9vtjhDY2MqbVh9gIsynXlj0b6+vHps/OKI3V0eXnuoid8LGe+E9bAK7vlzN497HmDn6aTpyM7gcX4SdWRfhY4ez5XwqlhbZkO/CAwHr2O4yH43Yj/OCHc+mbKasyhkPCw+MbR0Qki9ScJeGmNkTObnqJ56y/omZI/7B7t1fEFSs4YNxyxCzYW3bVpyFeo6khVFq7srJMGuarK0J8Aiga/UhlPIo1BadLHbdyGiPiRw5s4lAtQ33Nuj54let2n01QYxIq2Ka0WkGidn4Kz4DTPs2uBKJRCKR3AJ/VE2UKIqnBUHwuoFDo4B8URQLAQRB+AGYCdySFrrSSpTkjlPRpKWdGlyEMqa5LsZgaUXFqBPoB+eibfDAOuR+mrp05O4/w9L+w4hwOEza4S9orC4k4C4nPlPeT6WygyyX/f/qihexnlnq3ZxurmPnho9xnDyQroHlrNRfwdtzGgqne0jNUmDnGEthpj/H9hSTqAxndeUSWk4bsDlTzKuXv2aLbAHdqlRKLx9AY/8M+xKiMe3ox5WQZ8ivt8RsUBXtDudYKfNgW0cZDjr9v71GV6XiD47qzWWpNmbW0g+Y8sBykvdewLRAS0zpAjydhrDq3As4Vx1l6Kwoemji0zoNO2R/o6M2EPscPR/qnmcjc/m8/Unqyy/hUlPNkLhx7Cs5yIeqx9AO+hFNejWmuW0MbHoYreiCiWYvifPLsXZpZ3vgVIbKVjC8+x/s90kl23Y/A9rbeaHtUx4wq+dH9Y/0uOyhMUeO3RU5/j3uODqXYDqtP5ea7vrNStawnCJ8G+WUlsdikW2Dysiqr0MrkUgkEsl/giGCIKQKgnBAEISga7e5AmW/ekz5tdtuCWklSnLHcbVS4yKvJtJ2AkYyY/wEOX9vX4h7XS4xJhqGPTmXS8uNSKz6gRk9AYSGv4TsbCHxq84x9d2/MOnoGvJdEq53xWvABr1KjlVoIaPih1JT74e2QUez09MYtu/joioNz7GeeCZqETOa+Nj6Eocat7Ox6mtmZR/mRdlWXJR1PGlrT2hTKyrXxRjrtUR0wu7OZ7Fq/QsVqhoa8rP50et56hr1rErR0tkuUDfnCj87h9Itk1+/PrVM4BUf5z6M8M0R6mZFfUcdVWtXUW0ZSNTdY1iVXox7lQ5hgSeuY0dzaPWP3Ou0lajpC2laq+BSbTcajQ8AeUZ2zHP4iEq7UkwcHTHs2s7CQAsei5zEmaf+QY7WlLjxoXxfVkRW00MsGjaO1pZvWe+8hC4XJ3qKOphb08xqj4UsSBcxViyl1t+Z6dbVuEfNo/ZUEaPE6exvdqKkfjb+lgvYpai93tzCRajnfSdnUsV9hHS8hUObkvXVLQSb9xBtZdbH0ZX84UQQxT++luV2Ivaqnqo3z3uDT9mbmqheHXvjryN5HxT+G/qoYOdGV0V6tddRby61F78e/hz7RAk3c58oO0EQEn/171WiKK76HccnAZ6iKLYJgjAF2AX43ayT+7+SVqIkd6RQqxiKjer4QRHP9/KLDEovYpTJ17RY7MfE1hrHWaZsdQ/l+cQ0wofNwdTHCHvBgqbUEl6aEoCLTyIX5EN4iq95omcl76W+zL6OaXSNb8THRE/Fngss8ejHeKvvSEh9gYHjRnPF8yzxNZ9hNGIS4bs9mJR/hg/k3+Imq6NFLmPsESvmn6gmW0ylLfg7HOUXWW1nzuf1JxnoPwE7VTAjNE3cnbKJ2qg5pNoHM8XnMvNlW3FTGiMAbkpjPvZ35y6n2zud7xe5+1ZzcOBFnOO6kauhpPor/u71CkEzvib3YhbGVzSEZN5NhO9MWmqvMLTLDzODCgEDLUFy3lF9Sk9xDGd/+Anv/KnMNHoYbckFjih24uSSgqWrFeY1H6MYY0p0xEC88rp5wPANdmItZZYu3G+2Gg+xjsLybHRWzaxtlfOu7gPanB4gsbiQIotqShW5rBt4N44G7dXmFgwntutLfDo34WNihHF/FRrNSRoNV/iosIS91aV9HVaJRCKRSG46A8JNGUCdKIoRvxq/ZwKFKIotoii2Xfv7fsBYEAQ7oAJw/9VD3a7ddktIK1GSO0pGZTOHziURruwg22U/A3wTUSi0dHaaknvcGc+CSVxedZjoR2Zi9P0BJle9RKXDO0x+/C9sOvAkl+sv8eSgD0ksDmdN5RLI16HUVfGB+WtcKnYke4ArkZ0OJJuuYYboh5HFFKK2ddPon41plBt/rQhnoyKEZr8FvGj46PpeVdVGchZXjaZM68Ri2fc8a/sy6V2OzMkKgSstVL+kpcR0Mw87RbKubg8KSz88aOSc4l42dRqTHumPtfGd93Y9KUYzwFLLlMlPkb7hAi66ZtYM1uBg0kP8pysoMnFn5rLpZLXqKO0ohxqYbj2SVoUBO90GVKhpbWqh+LwFmHYSFT2NZzdkMN1JZOzCp6g9moU8z5FHhgbSWnYS38pJdLOfD32ep8zKBczBaKcO26ZRBIZFktK9kp4xYQhZB/CrbKL/9OF0Vq7hKzuRSwxknn0B6wcsQMzXIej0nGmNo0NlwWCskNlZ83f9I4QrH+NqPatEIpFIJJKbTRAEJ6BGFEVREIQori4K1QNNgJ8gCN5cnTzdAyy4VechrURJ7ij5RcW45C8m3+UgNQECLyg/Y7H2B55RfE7rqAE0W7ahzatCW9bExnFuXGju5uxH61BaGiGLnMKOjBi+PJnB5qr5zMo+zDnDMoqUC0mji+jdSrIuRBEU58K3tnfzt+w6Jox4nnxXZy6cPouT60NMSzxI8cmduIapSTbr4FCNFa+vgi0f6PHJvUSwWkZJlw+KEkfS9pejjHmIZM9wXBy1HPeMZre9F8aXzHGQOSF36McswZYvAz3vyAkUwHOzR/LYs29Rn1XNpfiT+JWEEzloPrkHV3LA4xQew5pw8nUhKfmvqI0GUtqex97ylRTVxuOTOJb2i120D2iCtp3ETPOmri6Bi45mbA5fCdZhnDywB98yJwYNHM6+o1dw6TQhsHIKmRfmo4kfREt8LNXezZwI+xkLFwfM03XM0xlxmaPsij6ORagfbQlRWLc+hF96Ns55Oh5wWofFCBmdE1z4OXgSxjaNhGcfwqlbS/aFsXR1xfZ1WCUSiUQiualErqZC3ozxvxEEYQtwHvAXBKFcEIS/CILwiCAIj1x7yBwgXRCEVOBL4B7xqh7gceAQkAVsE0Ux41bEA27hJEoQhLWCINQKgpD+39w/ShCEZkEQUq6NN3913yRBEHIEQcgXBOHlW3WOkjvPzMFe1FZ7UuJnzFrZw9RjR3TyBR5N+Jofje+hZ7gxuT6JbE97G7WLP3c5PEqjPIwzPxxhVv+7eFK/Bm3iIib+KhVPJsATtS0UuU8gtqgSJ6fhuFYoiT3yHmqbLqICA5H32BCs7ybA+SQnq9cQNm48Z6utWHIQ7FuuvtGCNFpqbWTkin58YJPAMqPnsPWoJVAF9TVunM8dQkmuJ34dd9FUK1LqcQB9T/Idk7r37yiMZNDTyfZdT2BdZyBwxgiKOqt4M9uWYLvBTF/wAlUnr9CeosNNk46xajTIzCltyyCz4gTljuNQGlyxGGuF/8Q5pG0v4kntGpZHWpL406co69U4RIRT2V3Ah8ZhpDVdxKvHjvldsSzpmIyXMBynNm9GagPIOXWamPLJhHhNQ5Wp4xFnf3IvX8JPo8DJy5sXmmf8trmFOIdlTl9ja3KONaMzMVhZEdc6jsN6U5ZllvR1aCW3CdEg3vDoDUEm3NBAJrvxIXDDQ+zFQHZjQyYTb3wIhhsecm583G5u5QfxW/KcvRiCyA0PRPHGx01kEGU3ZfxvRFGcL4qisyiKxqIouomiuEYUxZWiKK68dv9XoigGiaIYJopijCiK53517H5RFPuLougriuJ7NzUA/8Wt/Hr7e+ArYP3/8JgzoihO+/UNv+rxPp6rXTUSBEHYLYriLWlPKLlziKKIoLIkbvpyJgl19FTpUeTV0N+QTkl9NiMO/8A/p9zNS+orvJ8ehOZSCY8/+iDav66juqqYkNYmrIfOIPKNJIKG//CbVDwnVz0PXUnG2mwydVdKWREt8PLuYnqOfUPUxAdJLX6O/Lp63Gzn4rq6hDb/AqaehSabCAp8ZtCptEHR1YKZ7XdY92ul0f8xjh+zQR1ah9bJGZmmkXda9uAtQrqHP+baahoHKSlWa4ju68DeYiczy7E0yaJprhmuQ4PYs+tFlKHueIW8QkebwOEtO/AzG8CO0K+IS+D6RreKznqUYT/zufJ+Ph8WRubpDBSFDYSrHkCu8CG5YQMN/dXMnLOMY/tW86hbEpX6ISTUHSbUOhYTIwuKfZP40vAMCxIz6Z/cAkb1NCoDeNHmcR4f6I7/z4lUdfXgY1tMx0AZoUddrze3EAQ9FhYagppMcDPVUFNZSGnlJarbp1Gvt0EveiCXNt6VSCQSieSOdMsmUbdLj3fJneODbcexac1h6f0P0vhDAnOy9/GibCvmsnpOF02lxMqX9JQ2xj7yBNpjD9DamkjDgAM4z43hQuNHrMg35ZWwB9gY0EWX2SGO1Fjx+o9g16Kn3hwOjSzGw+cnShtPMXfkh8x/LxpNviuOk5z4qeZBPk234WiENzvd1tKakoq1KoJ07wi6O3ciaNvQYUyOMIrN2iFsxIkx+WNRXJShDzuPXl2HkRrW66pY4ByBusOEL1Tj8BONubuvA3uLuTk5cNrhc+6dMp7Mo/HI0vxZ6gUTJ/mz9ZP7MK/zxGHcAAraRXYKl1lwMhHbFtB4+ZHd4Msy85UMd/yW+Bf+Sbm6P5Fxw1meXYBBM5LxI0fSUqnBLMWVMGcXyjCiUhQordyEEV1Y9lPwlulpKsVB+KUnYDNrAprCbdznX82Ufg9TnbqGCD9/stKcea5tJS21gxjqOIhk4xLaBB1djZ5slMXS1jyDR2T2mNr3I7Z+A5PMrJALE/o6tBKJRCKR3By9XAG8E/V1TVSve7wLgrBUEIREQRASNRrNrTxXyZ9ctPYomeVfcPzMt8zN3389Hc8SkTD/DAItLFlWX4uNzEDw5OH4H+xP5jvb6TfIj0uG++g8mEV+YSYTFo77TSqeVm1Po900ph/TkqYw5a3CefyU14btfY9jZFxB6YlLDBM9WFH0JKqeKwzy7YdDhyNZniF0606AoRUv81BGuM3DOLOYBWk/0ZiRSE3oALIa8mnoF8vbqgcRO0O5+zsdVs6eZClb+SnQjff9vfs6rLdcPwdz3lwyGxdZJwnbkmipLCNm4lROZuTTIZ6icuQ5gu8Zwb2Nei4HCixbZsTi5+QkOvvhU+iBe2095Wd3sqffGexGViIzAaOm5STHxhI8ejYJ6xMpqrhAwIggHKr2oDDyQWX5EGZm0/ArnoXpxYUMVu1jy9w8jOePpD7ekcCsAXiW5bBhWhnNS4dgnazGKncppdpyGmqSmN4ezF90Y5ih609xiBUtwWockr8hvGM/5amx9GjiaO7u6evQSv5oBvH3j9uNIPTR4A9PBezNc8oFsU/GDWYu3pb0CDc2DLIbHoKBGx6INz56lQp4k4jc1O58d4S+fO/80uM9DFjO1R7vv5soiqt+aZFob29/U09QcnsZEPco4xKjKPmumRcMP3DCzIjR7i6EeLrxYP9O6uxSKY89xs7srQwJWYIuZDoNTc1UJuTw4QB/rMx2s++n53CKCLieihcf8zbnI1+jwaGTKq9ohq0v4t3aT7A7fR/+w3ywdA8jrSSTF8JN2CoX2XB8LYoYXwr91qHrScbD1I9p310E1QAAIABJREFUbo/gYR/DWbcT9FcZEWmxjRrtWkICHIhWD0boHEbr8Q6cDBHk+r5BrW0rpoE/oBDLcVXd3pvq/h7bz/0Vi8p9BEa5Y2ZvytvFORzveoLJd62nrqSMS43/2ujWql3Ev6qbpo40TndH81SmCaGqwcy863mqdlzG6oqat+ydqdJchkvr8FBb4hwYwIHQRHzzNqPU1dOuN1BQloC+8BBrzObg3TMffW4blmXtRDmH82qKKWPrBhEsH0x63iGMzFtRGoVfb26xrfgj9lZt5HmTd3m2ditvzawlfoINI5q80Vi5ERyfTna7tq/DKpFIJBKJ5Bbos0nUn6XHu+TOUFrfgaOFOw7z78PVwuR6Z7x3voavV/Xn1dU2XNSe4afWGZzaU05uaRkjl41D4eJJfMZ6vF3tCdVPxC4njvT9KfSoIrjiHUFz5046m5fjYRdOQ7gTloI3XWFOlB+rQ5NxEfXIFjJCs8iklXuKYnG8EItroC07nKfioXbDxnEQe0zTOWhyDl1IK81DlWRWeOLyYz2O3r7sM0vEq6OSg8aP4mlWjFa7Dbm+iDXW95GkU/Z1WP8wLbpumi/X0DFdR9ADi0n4+SIzhe+ZPc0OPxcH4j8/wi7FSE42LWJtaRfvazWkRB/guKsFCmtjrPwqUc17mJYakQvxx/Gt9CEkeAQlu9dzbkIuTq+MpexSHgX+IjujLtM/803Csw/gVVJO4ZhE8iP8cZg1l4ZjWeR0qrCIcOKSo5qtQ56gJzmbDtkQPIZOZEDJlevNLQDsFL4UJ4ynLs2HTbVVDOsM5GDFVhxV+5kg7kct6vo4shKJRCKR3Bx/VHe+20Wf9U3+s/R4l9z+mjq6WPnFy4zws2HcPa+xuyqPi1VWLDkEyh6Bk5FDsZM1cs+hfej0WxjokMnebYd4+qXj2I5t543WgZRnpPLo0n+w99UPaDyfQfYvqXhcTclK1R2nbRIUOnjywoCF7FQf5tL+aqJfmsqPW/pRrOnh1cVPUfzdF1SnFKKo98HCQc05RR56wQB6BZur74MGPZ82KSmzC6JBIcc9+jQOpvCMnTsDSOJu74XUt9rS4GCGwdihbwP7B7JQGWM9+WMivG1pKGqm41Q2/g4zGDV2Hucuf013zk+oFr7Ez5nD2d0VS1B3EU2iGbpuY97WdNNiVMRdY6L48eN7sazzo//CkaQ2Z/CGbgxjbEbj5zCEY599ziIXPcsDjYkPkmPflE29hcC9tRN5uu5bplu8y3dV/yRU6Y2mYShPyD5gSL8H2ZzxA/1aarEyjqRSl0hIERT4XG1uoe5OZ2qDKystc1ghfss35R3YqqbSUlvHeG0izv85C4kSiUQiuYP90uJc8i+3bBJ1rcf7KMBOEIRy4K+AMcC1FoVzgEcFQegBtFzr8Q70CILwS493ObD2VvZ4l9z+jOUyfF3TyDzchn//EUQvHIzdzH91xjMxbsLI1YQi57Hcc/wADQsnYXbBnaR1Jwhb/Bi2KzbjkvYqqqXfED55Gkfrv0RXLuJh6keo9UhMjCxoE2uZX6HGryaXdjt3LPvpcWzSY9doxrvicWQV27Abshtfj9Foclv5+4AadhW2YuOQj5d3CkplO4bMCqbVJZPqMglD1UE0+U2scH0by3YFr5zLxaSplqQJlfS0VBEfvYTbsFqiV+6J9kLXo+PUax+S1+XA2PmjqOyBpENJyCdWs9B5C2tYgpivI13njaiU8UhDHo0NZcRMnEdqcQVa4wtopjQTN/ItLv/4LLGhxjw4+AnKf9pDXpMxhVZzeEWzgZU2ZlRbygmoMyWyOpC6Ol+KfcpwCKrGYcgixFMaFI13I+sfQ4jhJbRzoqnLK2VfLNxzOJFhtYkAXAiaypm2NDpnq3F0jaQofhdOTUWYl71AfbcdWR1GmPd04mPyn7OqKJH8d/4PnY3/+2N789ntBo8VelFQIvuP+w1+Y/S9qI/5v7TK/rfH9aYmpxcvxF7VJ/1JXk7SJOq3blk63+3S411y+zNVGjF8yFvYdM3h9PpEbCyCfpOO19Cymxb7E6wdHsDFqJlMuu9Tumw6aUsvQtnYxSdDTUjS1LHrq/dxmxBMptcA3H+VirdGdZx9qnwezy1ghuknpFz6K+PnLyTFPZ2zV7bhOtSfikQzCk4fpmlgKRr/NfSEBmHikIXGX85Lqo9ZJPxIkUsA7zhqyXa9SEy/OJw0PgSVajE/fhlt2BIuui7GKSQHl4D1iGIXsv/A9thlF35ir/UhHHyy8IsK5GTqJ3zpugCG7yeiM5kHXb67ttGtM+GhiXhX7kbVXY5HTDB/K8jhjO5RJk78htxT5zHLDGdGZSx+ClO+zfs77q1H2O43lZMti1lb2kVKUTkPpwaRVF/Ml052vFRjwYGOl7FxvZ/kjKNYiO0c71KypeFRTL3/yqWLWcQ6NfHdJNBYgAFwbu5AIVMzqjOTVzo3U++cx4W5ljQXZWAplxOXWsBXxWX/63VLJBKJRCK5vfRZOp9EcjPUtOhILGpg7IBYCiILUDQoyD2R8pt0PBEozTRCaBaxtM1CJW9lwuL57Er7hMbLBUyd8BbjVqeQ32hKdU45vhYLsHQ4cz0Vz8SkCYW6lZo6J+T5jtifqEb2vRzloE5W6hV86TaLClkdhQl2DH7Vh3FnhvJCvQP1/dSsky2hS1CBKHLUMpIVqw4iWOkpml5HReMl3nRwIrPun6gc/o4y9Sw55tP5pn0We7oE3FV9Hd0/3uZCS6IsfLjrkb+iSSigM6mId7wbmTdwJN99HUGM/1mGyc+iRUVazlBqRxcgV1qQeyGLsazFbNIo+llbsGlbCjJ9NdOXPcbH58sYp6zFZtksrGlnO1PZlTcCy856HjB8gU1bMzI/fwaZbMVmUgzdp3Zi6PDDd/Qoclo2UDQqFH97FforBYRFmSBzbOLdpVZUG8mZdukUfhamGOXdh1YZgE/Z19h7xZLQ3EGgbTNP6d9ipGom0K+vQyuRSCQSyQ0TubPqmW4GaRIlua3tTynB/swsMhqWMn7pY2zc/gi7FM549RThYepHuM1YkBuj79EyoG49J2UF7Pzn20x/9gsMePJi3hB68pqIfvIhFKuPUHbkCk8+OYnP9lZeT8XrUgp8oH2dkWaJ+FdMJdfWCPWhixgPeRnFd9u4aJSHSaQdVtk1GDeMYk7G99hXa/k26K5rG/5WY6VrpkVuQrrvYiy69YwfpOVStYHzds4cP2XLwgBLBrnNRqMPZpgduCqN+zq0feLBGaMxU4ynR9/Dwe/fw980miGz59FSloNv5SSyMeDhk0S3UuA753n4tUfwTJkV1QUX8LQYx9gn5rEv+Qsc8y7hGDcLhQXs0Rbxg+03HIoaTVz8k6xzXkKXixPeBeWY21dxwCmWB/NraZTrmTw1hI3tz6MyrcXBdSLq4+m84dlATk0Op/od5rDsbv7e9i1T2ysRge2+pnhU9aBrFWlydeCZmsf4SGzDXZOEAntkGdaYuIX3dVglEolEIum1O6k9+c0gTaIkt7V7B1ry+lE1EV9eJPCzuXiM/QtbNmcxQt2NjeMgdiiSMHXJQugwx1szldFXlFRqPClKymF48DMoTiyi41gV9kuPkxlqToHDFpxqLa+n4n0t+5g60Y5hiaexUjagC+kguGQYsvwOJk2xxc56NTkFP3Pv+A3sbd6OMi+XWf5ZbG7IpKlqOnOyrm74q1Y30Coz5jtxHl6iFZX6hawrDcFLVDDvwkDMnZo5ZJPKoBYZK6Im93VY+4yrlRqAPcufwbjBBdNIdxTOZsz4voqvOk0QKqeQWBsA5hU86b6GAaVjMJSmkKO0IGhgEI0KJc3nEumIK2PIQ3O4tPM8C0y+Z8jIRbTV5eCUp+WBgG/YLptPksKfnq7XCVdeQcisYaBjNK3G7sTW1WA1egg1OUUElc7Cb/Agki7+g+le3dzjPBUxC16UbcVFqGNkixFrtI+hamtkqMUZIkO7qDI2ottiOwOFcRiqplBo5MSR0lqWefznNAqR3AaEG8zm702aca+OvfFDb/TL8958XJQJhhs/lhs/ti8YenG++l5UldxoPVWvVlN6U5vUix/rzdzvSXLzSJMoyW1NbuHEktA3OVqazvHv9zLlzaV0Wq9C5jD2WjpeD1WeDuwvH8+U1nRG9huDf3cLRYdTGDXQj+xoX1SfaMmVb2bYglG8cNCO/Yc6iPRT8/0vqXiIDLM9T3rrFcxcgxjsHURO64c4aBRonCYStioHo+A6jCOukGqSRajrXO5ftgaTyfv4u/xbTIQuVppZkKSx4BWbNHJ4GMfqLu4v/Bl7Yy+ygsdh36XGLSYXhUUP8J87iQLILKqgXLeX1lA37r7vORIvbETl1EpafA2RtqPpZ3CmpaEDZb0xiGWsdNnNYI0/w+IeZ3XOBpZbP8qT0QPQluswXCimv9NCAqfFsXv7Yjpqw7AXsvjQ+zmSXQeictLhuKeLev00fAcP4KemdNabfMSqiHCu/HM7+vYi7D1jefH8VKK9lmBl03g9HVDQ6RFV8Fb5Jmy71JTnWjCj8xKDlQKnYgyklZ1HV1/HuWYHTrabsNTNHmOZ9C2eRCKRSG5DotRY4r+SJlGS29ams1nodR0snj2Tuox2chW55KRcJmDO62z/csf1dLx4XSR/q/iIZtNWcntmMWxABMmm36DP6eGuqDfY4LmB5svleMWZ86i8HeuWJ3jfeO31VDxBp+efJuP46gQU5gYRtNyXd+Lnsr3Ekg0BD7LB9xQd8YWUTljKitPdbIpyJjVkFi8YPuSEuRFfWNvhUixj4aVYMgekURW8GyPyGOUeT5EhBVebUSibFPzT9G2auo041deB7WNdRqaUdj7A4jlxNFVVU7df5B6PHCr1/iTUHSbUOhZzIws6elp42hYeEWUMWryIjpoOhKSzvOBjxcKBYzn97EdktsiZMH84pzQtXMmwYUiPC5dqu9FofFAoOtB1KUiy20dg9df4D9pJRtqrLAu3xVWwRUxNwix2CJ1V24kIbmRxwFRc0nZcTwcEsOpq5oA6CzOFgkdy4ug082Z1dymexv401fuAtTsTmlcQZ9yNsWxnH0dWIpFIJJIbI7U4///12Wa7Eklv9aT/RG3SHFJzd9H/wfFowkp4qSITM3Pv33TGW2uxjBOOCpwPW+PUnELU7Bh2Cfex6oCWIp2BiLtCcXDyIfXwRZaODacm05nGShPmZO3jnGEZRcoFnOj+gCzvQajFBlor2nFoDeSu08vpttTjbd2OU53IWGV/vtW8gVPZTjwdWq5v+Pv6KnjqZxOy3P1I6RxAjZvANhNvssxjkB1rIdhvDILKnRc9vHnDz6evw9rnwtwseffVNwjo58/J5Udpr8whNnAJpjhSKbqzt3IT24o/4pBhI4bQTpbb/w2HATM49PVqAgomEufzGo3ZRznMdlwdsvCJCCAv5z22hc2ipTadoV1+mBlUdHWaUIob0+Ra7PysaM1rQpY8mJH6+TTl/sDmERdQ3xdIwWljhmZXMtQg4pSv5QHDN9iJtSAasGit452eCma1WZJfcJROZRM/egwiLXAyvhc2EdaTQ05CEI2VC/s6rBKJRCKRSG4iaSVKctuaOHUMR548SlHyZQK+nQbOy4jeuYLk1kJqfpOOB+cdniXMORPTtlo6GrQ85zaApswnOHpgPw8v/omsxu3sdTDDWRhEbMjLFOft54NrqXi1cjk2hnri7NZRYPQ6OWdz+XykPa+VZNCV/R3jJj3I3szljNe6st9B5EDBXl4Ys5qv9q9hyWFQ9QC04d1Thq1RAG8UdFFhcOcpcwWZWk+KbFso6dnBDNkgHG3792lM/wwEQUAuwOm07zBN2ociYjSuQ8JwePdzKjzmY2QZiGjQ4qnQMK/iKNan9KQ6NtBabYLJABG5ty0v/rOG6c4Kpt3/AvUXCjCktfN5QCJXtOVQA9OtR6I2MuetwQU8VP0Fcwr30HHwKNat7biFBvL5ShXzLUJw6LKircCI0PAFrMoS0NYGXksHfB6lsp3N4kLmda9gvqYIE5k9fv62PMw/CbKJYMXoHKYPGsHk80FURHgxNiGb70N8cFdJO/DescQbKFwQb6/6l97UNfWqFKU3qbCyGysokcl6UdfUiyIWeS/qqeT/QVtj3Og+UWIf1UT16idj+HMURUkrUb8lrURJbksGg4iTewz9xjxNp6qbrC0HeWxAOOYu+eTvOsRO46ud8ZTHKwk/HE9LWg8n+1vh7OTP+X0HmBziRYdhMK7b+1N6Mg3vsQ+RmhzM5h0nCFw8mhfFrZwwM2KCmwtxNs58WOlChmkzGsfdZLlvwOBkx8TMYDxWgtLfhPpgkT1dOUxsiWXSkRg61K1MPXt1w9/4mLc5PvIrRLtYUp1g+qlUdrU8i9LDiiqTUswURRT62FPeXdXXYf3T6OjqoeroIVKn5RLw2l1UZpVwIDQR37zNKHX1IEKHJgvnE+7sc83jXNEX1JmvY+SSEeRc+Z4kTycujfwGg3kARzdvIqh4MKMHP43KaCCl7XnsLV/Jnpp1RAm7ecr0G1x6BNS5jVh6hVDbncQGvylcGvkehYdKSWwoRAgzZ6e+hZAuFxpq+5FwaTZnzyzGUdGIe3QTjp0pRKVvQWyRY56hILBGwSMmdfh3WnCsdC096tP0aPOp79T1dWglEolEIvndfmlxfjPGnUKaREluO109Bp78cAVHjh5k4JLR2HuFcZkfaK6/wuSot1AYz6Gh0pQ5Wfu4JHuU2dYf8IHxMtw68kj1SGGbewnHqjKZO+tTqh3UZB44SbhFIG+YHaet7j0K2zN+k4q3armId8ujpFVMQGeay3s1T/FOUjfuk14kz0qkLq+cc+0P8PMpWyxGPEKug4yasrLfbPira/qMHN1enIf8wGAXDe97yDjDOSLsAjFoAlgnLOV8j7QK9QsThRGFvk8TPno/tsaOFK4/SoG/yM6oy/TPfJOopE9QVnWxz+0IWeHTaakbwsiZz4DchIL97bzQvJW3B3lwft3b6JtsUA3sh9a8m8CSdIxVo0FmjqPcAeeUWagujsHM9SwXfHbhGudM1rGTvGf+Dx7x01N56TPCWstQ2FowT/4xrb9KB0QEj8oGFhVcpKxfBise02JRa8yw6tms00XzRdNLtNZ7Iprfg6JDy6vaLwhQtvd1aCUSiUQikdwEUjqf5LbTqutmnGojJ0+00z9wK14L/fg0J5Yt8XXsnjEKz8HlzM272hlPLXTRle+EbWUcT/U/zJeto8nKCiI1cS1jn/4rsSNHcbr+EMmXj+A2/WHGLmmhuuQ88WprlhwSUfVAt5EKyCbc4MPp7CyW2e5lSG08PvO/R5c0BH1qB68MNmDS/Qj2xp8Q6RKMdYkJxz3+teGvDBnGPVW8w5t4B9dz36kfsFcX0OI3kM52DUlDhqKUS99p/Norc0cAcOGjlWTWalhsr+fLQGPig+RYttfSqj6Cp9aRqVYFZA0fxbOjF3Dioy2YV+qIjnqCusYeLnRsQ+Zly6K7HuLsmdUY6RIJKYICn7uo1hcgLytC1dpEmUMUE/p3YWZkh3N2KHLPIXRmZ5EYWcCwmHF0xmvoKYikVJt1PR3QxMiCgrIgKv8fe/cdH1WV93H8c2cmM+m99x4CpCeUEHrvVZSqFAuLj5217FrWhi5rFxuCoiBKR5DeewpJSO+9956Zyczc5w9cHt11d59NFgPufb9e56WZO5fc+TFMcu75nnM6qgixKGOuWySJOedA7KLIfia5Y2LhyCaG5xTSVPgENZ13ox9rR2uPDisj6aNX8l+ov6KAvV3ivA/fU96H3Jf8DlvivC/6Miqh72Wcr08jIYZ+Wh799kjz9S0K+Rsk/SSX3HHszFU4jnyCIc9fJWnDGea+vQaXNC1z8laQcWkVY1c/RvBfBt5cGc9a4cwEtUimeipPtu6hNtqTTdePse97EyYseA715R282NrI5zbj0A6fjaYig2lJIi220RT6zkKjssVLqKXIM5vI6074zrFmy75GFAWXaRrQQ5vsEyb5PMHLRx2IOXcMj0HzOdVyAK2+FU+zAEJtRiNXmNCDnj1JDZSpjbD0vI+CVitsg1IRxOvYK6agUFj0d2lvO+3FV9hXuZGhYjhnW+bzLNv4xNacGlM5zloD/5M7gYpWNffMHUZB+UUU587QHRCO+/gwlp6IJ6J1JHPmL6a5pp72s9ZcHAn3HEtiRF0S9XahWLSXkLzEkc89n2Lw0AFc33WF8orzTFp0P49cbyKmaRIj3BZy6qvPCLX2Jl1hTFnnZco6swGwU7mR6GLO947P8Ia9Cbr2UryiXJir3sDvzJ34OqwQ0zgnVmbpcLP3Z1hCLvOdrHgpwLOfKyuRSCQSyb9H2mz356Rb35I7SpdWR3VrN8Oj7kIX7Y8tRpSeSOWzCX5c7Tan6r1MumtrSbHovhnHe3FbDUF6A2X+LZy3dyZgynJmZYTT8oMD3c06VJ5PEXo5mYzDXxC7NBZTt4C/i+JldxxGDM4maZEv9gMWMS1zHO0H9URMcOETp0Uc1tlyd9VkzDKG4xyhpmKwAk8Td2ydIjlolsG35ifZZ36W53pOsstkHfJAc5pbvgVXe76ynEql1qi/S3tbeudcLbEueka+cB8HlKM527KULWVaUosreDXeiaJWNWWl5rj5BlJ+8B1Ox10l6OlhFOfm4K3YQdnESfiFjuTcprNoqvOJc27liylQbwl2jWl0WRuhMXbilZ43GWLfhXjua9wFG0ycjOi2z6d0+kLIKaZeE4BRZDjBpek344AAjdo2IrxrmTH4JErnMjxz1hPg0EFJQjiNzYt5saqUxw3hXCw/RbVVBlN0XxMly+rnqkokEolEIukrqRMluaP8cL2K79++h9Lkw0x7ZDHlHhUc6nyXTrmGlTGvUWPjz4WvD3GpxpoVR8Gh7cab3Cr9OFrPWjY4P0xxp4yAR1/Gxrid0u9OscTHjwDXi5y/8gkySxmKoaVkeQ2+EcUztAMg62nhTNVQTmUOIadBhWbMUJqbrtPTE4xVJiQeSMR4/iKadEl0azz5pmQhlo4hXFbm0yFT4+SWj/2wa1yxauVBc3v0znqmu96H2jCFLFkMZgppUPiXzBg3Gtt5Z7H1HovKHw4wkjjt+8Rq3me3RSPWDSUcD/Pl+5IzvN81C/cBLxPgMJi677IIvG7FHwNGcCX/AJYJx7GxdSOi3YTJTi28+gAsekbOoRg3wisnMiTHmvbzO9k9OhPFE8Hknq1gYd0BnnaEzwvex61uE2GRdj/GAZOwUs3D2PpxbIznIda4EJ5UTVDZaQ4t01OjMDCnNQ69oz+T1W+Tq4vARByL3DyU0IocBstM+rusEolEIpH8W8QfN9uVFpb4P9JvbpI7Sqyznk9M8vjhk9d54LV9hEwPYeHVkaTuz2TToilEZraRKU9j2tEbcbw8/7vQUIeJ3gL18XTmOB6ltGkPM+7/kqprYaRZbMO+2p7BAY9gdqKY9K9S8Vp9H1nb/3gzimekMEUralCmXiHY6yX08TuIGfcame0y2lMred3hEmebDmLp+SURHjOxyBX4Y8sR0pSWNzf8zVIN4J3mP7FItY2Xv2rC1biFHeY5DGtWcH38qP+qZWn/HZGeNgAkHf6SJS5n2MwKxAI1nWoVo5za2BlkzVy307RdaSIixovFI58n/ctz5JUmEDxyBCbWjrTu+JTLU6q4/4HX2PBeFes7PmN6ZxVdahm7qheTaZRKqo8vZQXujOqZRqzraK5+eYBg25XoJoQS1ZFK+6Iwmmu7+SEO7jl+Iw4I0K4yQmH3AiXtaXwtWhCjMqWqsIukpotYmbRhNN6R+o40vEu+wk/zAbUFs1GPGcDpxjbG2Vn2Z2kl/2miCIY7Zy6L0Nslw/uy1HhfPub64dy+LFMu68My5X0h64e4lb43S/v/9dw+XG9vo2V9mdfTh7dEv537nyTNifo5aSRKckdx8/Bhmv19oL2HY18eZYD/PNZ0pTKw4nckXP+agFXjaQqpvhnH6+jaToCqCQfzEkw0DrgYksm7nE360W8IWjiQA07jWZFiIGTUIno8FRhKy/BR2/0siveV8TnO+23Fz82eozpr6vaVYWVlRHXgSYpM3qVj+GTsTljQk5FFplciKcKXDBzc87MNf9/S/J4xyefoNJiTGLmCa2pPQodeQGm5S+pA/Qv1zW2czd9AtCaF1a5fYDlKRkOsDw+7bsHLtwPXc3o88qaySrkI0/ZSrl54GftOkfC7Z7C96Azvdi/CJ3QjLkau7PKfxjP6+6kw2HPYzgSx8yD1ymK6A4zoDOzBauESyo5mkt5Yjz7Yku21tbzT8XtsIz7gyql44pxbbsYBDUC5WzQXag7TYneMHd4juBS5ArP4dHwsh2BZfpU3ejZgpUti130m5FVdx7VLz8aGBu7PKEJzB/3CLZFIJBKJ5OekTpTkjnEpv57Ekiailj6Jm3038lYDjVmlrJg3GfskbyrX56NUmaPyeIRszx/jeGInzaYCNSOvonA6RlflRDy0c7iyvwILYyfcemJYl7WOupQdTLpnPrk+ZVy49g2WjoNvRvFMzVs47xPG10ECU8qn0Gn9CNfjGzEZOpVH2x5FEMIxclxDboYTnrE27HCJpM12DDX+xmyRPUiD4IigErjf+jPC5PHoVedpLf6eg9ZredmwGEMf7uL9N8hr1CI2RFFdFMMw/RXeYw2bze9ls8f9hBVcpLUuiCZNE55DB/DRgfMYhVfh8nw4utZOjNI/Z3hsEXdPGEX6p/uxce1kd/B0YmUfUts+DO3wHj4ZcT8ji+xYWnmeZa6uHE/8E8ENOQyKC8O66S08xxsIsNKhSCwkosP0Z3FAtbIS925n/JRK1jn+mcWuGVyy3I9RUCna1DC0FavpLrRidXsg5dUqSpVaxnSu502j91DJpI9fiUQikdwppH2i/pb0U1xyxzhxeBeFu0fT0ZjK2LUrKAs+xCd1m5HZBRMnL7/TAAAgAElEQVQy5Tm05lqyvzrEqsDBqPWpeJoFMMP9IcLMvNhnOovPPB+gTVeF84xQBtt4U3g0jQ9GOnFOMHBy8yYsA+xQhnexQW5JmrIKW8cCYobsJSLyEEUl7jhnVnLNWYWVZQnq5EQ8Tcez6Po+GhIOYRwkQ6hPRGO6mPxLLtQ2uLFXuQBdtR7luRqUJ2p4QxfE9YoOjLymE2Y1hSH2McQ6eCOTRqL+qWG+dix87GP8qiZTmBuLWm2GUtTS2mFFepcCuXonU+4bQ3n1aT5RBXDG+VPCgpeSsHkPzllTWWF1L7K6NE5nvsk87W4ULnK0o114w+sRXgzcyNDmelyquok1XUp6dhkWXiWoH3FEW9wO1024V+5OeuFXJLscYIPsbsZ26DheUUVKSTlnw8oo9d9FfutdCNdC8Cprx21gK9Y+LjhWd+Pg7MHzpgvY4/IgLlmZ+JvbUZloh6puVH+XVSKRSCSSf4soCv+R9lshdaIkd4wHJ3iQny3n4oubsfCywxB2L6lX3Nnz/R4GL47D2S+KFOO91FZd+Vkcb5eQhWmGnA1tT+DmW0LcgmkUe+Vx3uxjOhQaFlktp1u/iJQzWdgH/RH/S3k/i+ItE3YxQFWNm/0ODC6HiR03lzzbLuw66hnifo7z3V8TPXQEMpcBOJQ28KXyNUZVbaD5xw1/LxvWUqxazNvJJcxNjuGS2Mlxm8OMkXXzBz/X/i7rbU8uE/CyM8NVY0pw1TSyry7m4vllfFX+KE4dAbgFRmDhN5DEfck8ZvE5H832pfz4IbKKO+gRunEN9+etg/F4DGzGuVDNSsOn2In19PhYYWdZwz1nT1HcKeI2NYKnK9Sc6nqSsLAXOLd7B9EVkYQFjafucinjgpTsDph+Mw4oiPCksh4zo1Acm3WMZxiv1QWT3LgKbVsUSa3lmDvlEDwgE++galLtj2Hka2BI3RhyrIbgdz4NlzOpRF/OZE9NU3+XWSL5/xGEXjexDw2BXjdR1rsmCGKvm6wvjd63O41elP36zSD0uiHSL00wiL1ukltHWlhCcsdwGTSTke4V5JVUkPDtYZYvmIKb+XQuJFeQP8gN/+VhfJhRzZdX1bz448p4ekEPwBBtNkdFK8bG29KencuwOaOYfHoUl47VsGnpGsqzN6C/Xsm4yUPocT3Gdf8wvpKtRCsYA3DYfSzBZ/YxuN4K401OKE3iSWvvxsh1IXPfOInRGy20DzhAlyydy25u5JXmcJf2MOvlmzAVtACY+zuQU+PHwM5rOI5OQ88FwKu/ynlHUffoSWu5SozdOPwNLjQJbej8DrHXZhH3ns/m1KY9uJU7EeE2Ciu5A3/OWEpEqwPT7t1IUelhvjQPIs7ua0IzL+FANn/2eRKVqhNNqSlH/PW46muobZjKaIsvsZo2GvPSbOobHTANseGKtoAXLRezaMDvsaaM3Uxnf/4oBLUeVY8Wb0sjplWkYOtjoNC6E8ZPwmjnFwxskVNVq+Ku5sNMEYaxKaKDNoWaH4yb+Q4vtPob97AqND08lVsOwHxn2/4ss0QikUgkv0ikjxsV/wZJnSjJbU8URV765jQTo4KIeXwpsvV7yau4hk9zJF6znkP43U5SGhO55/3/wS1jJCuLlpKmXI6tYwG+fkkkG0Xioy3E5UIAJS4xqHccZeb6R1nT8SHODe/R0LSJATOnc7Z6ParcLhwGrWGfwfVGFC+/BkGtR1TJqLJZiZJGfAvrOK56lOR0OSdC7PhhoDWdWR3kRszg404fPmq7RvRJe4Ljvr254W+1Qo5LVxP319Vg21HFg/J3mNtpwYb+Lu4dQqWQUaV3JrHhOKE2cagUKjyzVARVXKVIMMXi2DWqPVyJnR3DI6ezmKJT47J2NEaOriRu/oJ13vksm/AaSSl+XKzrob7el26FknKDkmmWx/BST6NxbyHuMjdmLJvIpuMP495UQdzULZxL/oJlQV2sin4W+eU9bHVZgdbVGQANMOjwBwwuE7BznszqtnUMdp3Bu37xuAc7MytnCqJmGR/2qLBpnYZoEsT3EUZo/yYE0G0QWV9ULXWiJBKJRHJ7Em8sQir5P1KcT3Lbq2vXEFK6nsuHp9Ku6MB5YRRFEWX8IeMMwT6jUEwagbPSmLy9l3lvtC9XRIubcbwnlO+zNX8Z3+Qso3i0KY52LShMLSi8nM6K6TE0XnMg983deIwOJMFjKA+W+hAeMvdnUbwS1WLSWIGRUT6BJkYIKTXMMPbki/J1mJKLm3kl5uVVmBvG4HLqOm1BM8ny9CXFvOvmhr/fvaHntc902DmF0GUWzrsDfFjm7tbfpb1jCIKAGU5UiR4cqtrOhcrtmKZBXXMAfs6XuBR0hIhVQdQ1FFMpXOCNgLcJinuCY5/vwK88kImKJzEWbHDVmDKyZwDmBmM87LK5HjKQRPs1yFvsyM05RyABVOlMCa8oxmG+B1q5BZqkAIZXjMWprhDngm5WGj7FXqwD0YCLvhIj98tsm56IeYsJLfHzaNGM4+GeElb4R5GTdRxTeSff27ryfci9WJ7bSpuZ8hdfY6VG+ytXVSKRSCSS/z8Dwn+k/VZII1GS256TpTHmo6YQ9vwVshv2M/Ll1VScX47/mc2k6bWMf/Bu9ny8kRzlRzhqX+DBIa/zmWEXW2Ur0ArG3K3eh0PPV1xsvBvVyA6c1KfZ2lPKMy4vEub7OzJL8/C8loO7ajYTMx6m1n4JdxXk3YziFRopeElmw0PKbeQqn6VY2M9S97U8Z9uDfe63LBv9DMfTzzBFWc8IqzewU9cRaGbB2RprVhwHYx3UOEbTauVLY89xNO4aHrBToVCY9ndp7yhONQep8FiEwioYtSiiEQSqgyq41jKFaWFGBA8aw6X3f2Ca/VUmToyisjSRtgtlNLhaMHTCAh49k83Yn0QCLzTKeFr2LcOq5pFY8zFK+SSC50/n7dpL7DV5lY0jhnLl4EmUVTWEzR3H4+fz8a0LxkHI5k2fp1CpOrneEIp/oxtdBhcSz+4nQLThosyGg11/5nUhlDp9Ep4Bftxl9g4+9nG8G5qMLQ004vB3r88OaV7UHe9Ouk0r9PIeam/Pgz7dtu1TiqiX5wp92JxH3qdze7/9gbwffkE19NNcrN5Gy/ryS3yf9nrqy64Wd9BHy38TaSRKclszGEREUWRS1FpaIybTUldN9eUMXo+IRG6bzKXtG9HUljPkrnDe617F2r35OI4Zy17l/Jsr452u88MhwZX7dso5KJ+KPPIhkq76883xSwxaOZEQxyCqL5fwTKg1mRa17Dz2EesM33LGXMEkd1cWOjlz75FgmtNGMND6SwoGGXNKXcnc4khit9mj8zfCcvghlKZJ7FJ7cjEpG+vBEUy/CC220Vwa9jIZAVMptmzFzrKWsiAHmrTq/i7tHedwSBJ++d+gUjciAOY9jQQ4HEQ+VMuYhb8ja/81GvNTiOy6C0eXYSSce55C293E3RtCbUMRjbJTNyOBnT2txLRHMSx/EYktx0kdWk7bzFzkxuBTuoUno84zyKoD8WQSOgs/LPxkXLQzJkTrRlOdP4kJ87h4YRlXDRNZ6/o87Z2x1LS40e7sgcFwCJPxdlB3kuis77FS6jDLMsa/2Y6HDeUsFLehFH/+968U1dxl+Kp/CiuRSCQSyb8gIq3O97ekTpTktnYuv54/rX+VspoKxj06GcHFg3MFH2Cu6mbCwGcw1S/hh89O4OYyivv11Yxv+B+uJr1PS7UZRpmtyNR62g12xFuvQm3VxYxLRSzwjOMJ053U5qxFbaOjO8KEvEFfUd2ZxjRhFp4lS0ix6OYle1uqjRTo5ALxg8LIV9lTomnlWOksPjmtxGnS42Q5WdFdX8dHhhd4rCKGlU1TcMoZgXZAEzrjaHKCFqMxtkNGB3F20cQLv+dL+QOUaH850iX5xwqDRPYOuUZg1guMOv8Itl0XcSgYjWN2LsbdleTvegN9pymBS6fyVUEW2WXBRI+ai2dIHPnbM5hQnvR/kcDK7RwoeYdDVV/yTtBkHDvGsHDiHyneex7b1KlMtLqfguTPOOt/FLc5ShJOp/Ok/M+016UTqw3A3GAMIkxQnGCd++c06U8Rnr6d6EFKnLIu8YzhHKnKy7xzby2mHWZEVs0imWg+aHvixqbBfHwzEmgv1rGaj4nWpPR3iSUSiUQi+QekfaL+lhTnk9zWLPWt2Cs/Z8/2kzz2++N4zFTyWM14zlzK5ZPxiym7/CHmWhtKL+fw+KwxfPaYG02Xa1CGtzGTCzyv+hob2qlwdiBL/QxqhywaagqwnHAfox7eRXnLD4x4ejLrjtuw44yC3UuepiD7Fd6zsSEqW2TxWR12bVDkehznIes4LVfyukkB9nWv4jZyO1EO/pjmyIiw0OFc8A2GySso2fEJHmZeXPOfg1ZXhK7jIlZyFRnOkXg0tPDwQTXRY8L6u7R3nHubDbwbrODSIDmDSmSMKPKkpyafcNMkTu3dTtqQXCaMnYPeoKa79G1Sh43nkQl3k34wiab8NKLMF1FZs+dGJNA6GADBNofIAQlUyt2RtwlcvZaFk6MCVaAnJ/drmOrtzeCBY0h79wJOpivI6f4eamGmzWhMFBYcyzbGokWLvf237FhlwuNmjjgVzMTKI5Sw0qeY6hRCwvUzqBuqKLF25mzMWMYU5TEs6CIj5BeBG3f32vWWVBfH9GN1JZJbT+zLnnj9EOeTy3qfoZLRl0jef092y9CHe/n6Xp7bp5GQPp3b+1OFOykq/F9E6kRJbkv7UyrZcCyXqpZuFnQOIaIqjCubTzL8oeU4bD7E7PoHqXR8iamPrGbbvoc40ZPKY8rnGDf1TRKOHGSm9jxjrLdxl50l/vlWNDkZmK/5mMrQSP5UnMLHQ2ezJ6IdobqQwHo5d2k1xFY8iNDyARExE7mUe5B5iVHkDZyFRmWLubaZSuuT2NqWERE1kfXXLJiQfgazoCCOdx3lZd8BfNh6ALVZBBNcJ6Or8qbLcAk3WQWhrktQKExJ8P0U064eepLHSRvs9kJC8zyeFbfxia05LWYy7JqOYzawkCuqKRzqiWKSvQ9jhy4j6S97MTe48MZ4bwyaaqq3vo3aZgiBiyezqeRZ5iaKlHnPQm1kgr/OAuPrHaQ0nGPXqSICypUMXvYQWaU7+TxwPg6D3bE/U0ZG6Vmi755FXt4IyjpPUtaZjZGgZJBNHPG6SmpN5jBSZkHGtVS6q7MxeI/i4ZR1vOhmhyw+F4eAIVg1fUy0XSdWiXeTgwFP32RUqk42iH+kWWvPm5Xd/V1iiUQikUj+Iakv93NSnE9y29mfUsmze9OpbOlGBA6qllJn1klPXjVdRQ18M82Pi61yrr2+H9HQjcvYZVy6HsaXO/cROHcoQYHDGWK9m/UOlnQYZMxJHsOotAW856AhvdIfz1OXyU4+y8ilQ7BxHUDKmSSeGevDkToLznzyOdbTApiWHk1hwI0onoiOdqUNMisFm72WUWYdw4KcOJRnHXEZqqEprJZ0N3scr1jBtQJSnau4Xp2Mm7yWGPtJmBlZoRKMqLQZyGmvaTgqG/q7xHekJMuJnG1ZypYyLe+paxkwNItLwiK8RBn3+BzkyYUjKT18gaSMFDw6PQmJiCN719scGZaB6++cMKD5WSTQv3AfjXUptJc0keFuh2XnebKWlGEfNYjSs/G8af4xS/yVVO9+A6cuW3yHj8AMJxSmE0FmQY+oJbX5KmKgLbvCZyDGLkKb2Y1gPxyLzm2MiE7D2r2OgNS3CHWtpyTRB13N0r/ZNHgJQ3sSmNKViatGWmhEIpFIJLcvaU7Uz0kjUZLbzoZjuUzUn+M51Q5k8lZ0Oiu+clpFrlsyxRnJLJ/+Zxb7reNyTRmnvzjAlHUr0Jus5mTpJRIyrPBaHsMLRxU/xvEM1Np3E2xizcr04ewN2oOdXQv7TyTw3DOnuVa8nau23XgrI5mrWERqvQX6FgN1zjNvRvGU9GBhZEd2/jAsqls53ZrG8Fnzqbi4G3fjh/i0wo8G0Ypp5iuprvDAZXYCTfqrhBY8RYmigURFIZ2ChtTWEKpt3Xjc3Lm/S3xHWjc5iGf3avleGwc/rgY+pymDQeJAbLy9cJOb8eqZJwhrjGHoHx7ick0CLzXHMMPOh7Exi0j98CjLtTreC1ZyaZCcdXtLkbWHsTs2BwurZXyTC8/FzSbh+8MEl47BJSCIztTz7InMYmJkBM35FThWf0+l52IUVsE3r8tSuZM3ZS/iZfI4OfWfEh67kpQrWqaZVhOoreHN1RrWulkxLX0E7aODuH7sc4bYjcXf4EInaq5UbsKtzY70tgSCmNFP1ZVIJBKJRPLvkDpRkttOdNsJRltvY7mtOS7FZni0KIlw/4xMy0l81XAPBafzeGXFUtrKvqK0p4qCjEwG3v0EsuUaCkoKCX9/Bn65AnP/GsdTmqGzKULl28jgkk4G+S+j8byBzO/i8Z2xjOe/Laa9toRn71tGy7tf0HIqnU5qcRVuRPFMFBZcMyomrLGC0eaHqattxnvEVuyKZuJQpGRN9SGGNxahC59OQ8Ih1PZLWVcwj29UJeS4Hmbgj7GtGI0ZJUVRVKumMqC/i3wHmhNxY1+tv8Y8g41LiW7WUaioYNHEmTx3LIEhDtWYTXfCwsWBor0vEBbhwrwhj1B1Lo2rKVfJclvAs9yIBG4ZX41MVcnD9W5Uu52HibEMtDRm59kqtIpmBsVMZPmOQqZ2DWF+1L1ceOsQR0KvMTcRyrxvxDxN1RW41Y6isMYOS90pGia0o4gMIXRXF9aDnfkm/QyLZdG0FehIqtlNiMUsqgxONzcNNlFYYFIykar2BlLt3VnQzzWWSP4lWf/MaxL7kpvp5brUfVniXNaXtbD/i+j78Kbo9RLn/Tavqffn9mGK3X+MKPZxPtlvkBTnk9x2htjsZb2DJdVGCmKK3XDqXMZ+TRTOzSk8VH8Mu7QF5FddYsCqKTSFZvJS5QUsLAOxumsZtio9+d+d/lkcD5kx7cpuPnW8hyLbx4ib9xQdjiJ1SckMVPrzsvwsgXWr0NvUYzJoIFeV+38WxWuXqWkZsA/bqBLiDU4Ix2WYNDVxze0yF5u3Mi2kic3mKTgE2TDcZQEejd4Mu3qZAtdj+AVdxti4E1GQYWzcSUDQJQrdjvV3ie9YcyLcuPTMODJfnszdrnuoNNvFmHsjqG/K4LjQyofOm4ge+hwXt+7FoWA093VPxl+uYMehh3Fr6OKgchRnW5byZZma040VfFmuxax2Ng4JI7nHYxEH0v+CVcUexo71pbb2LM0eHdTMWUtTRgMZlR0/iwOOOfcwqqZTNFYnEm+bxLM1QyhVP0VnmTWJ5ftpDdLyqXMc+0KeQH4lExerCehr8zAT/m/T4ANlH+LSrOWYfzDfThxMvbanv0sskUgkEskvklbn+zlpJEpy29lqI7u5Mp6JtpuamA48NdPY6rSFtyaM4+K6JPLTjjHpk2HovdbivHMP15rfYeyihzleW0W8yWcIzotvxPHaz4HYRVerJWZyV1boP6enfiAT58zkh7TdXL36AwETx6N+PJ7K5l14LBnL9jJPni6MpkTRQJKiiA6hm0rzYZxRxrKjuZhcm26yUwTcx8rY0e6Ehf1AHn0xHodHGtjtcBXv+gZesH2PKl8LrsqHs5MlNOCACd2skH9KlE9if5f4jtet1ZNXNoDR4+xwC4/jyLvfsNr7ELMnP01HVjw5ibVYWKkZO34BH544j6NLBcJUY7T1lhzIHHkjEghMrC0k0lBHgdKOYeZWGOLT6JjVgfOcWZzauIsVtkdZMPIvbPvoMQaWG2PbrOe9YCMuDZKDKPLHvcY04M5ksxP8xdeECb6j0bz2NfbKYRgZ1fCg60FGes0mkR1Eek6kKyUav4LvyQ26EQk06KpJbs9lgu0VYju7sFHs6ufKSiQSiUTSvwRB2ALMAOpEURz8C8eXAE9zY3y7HVgjiuL1H4+V/PiYHtCJohh9q65TGomS3Hb8cgXmJUSRN/BlEoa+RLvSj8qoo/jZBuHmNwXvEQ/TKleTvfM4qwNjCHdLIPHMNiqz4gldHMjnZkt+jOOVM9P9PuJ8VzPJ/W4erzjDMV07Oz95DfsR/igjavlAVoOV6zhMfe/lWokCG9Ng8kpjqVJ1ccEohw6ZGgSBplwHll7fTY5lHQr3ThrzTqBxfoTzCSG01bmQGfUIKVW2OEY30eAUz9c2g0hSRfA5a2gQHEEQ6BZM+Zw1JKki+rvEdzw7cxX3/c8bTFj6JxK/PY+ytJHhbffjaB/FlsQ/YNX0PZMWj6G1K4+NaiO+t9jA6FGvYO3SSc8gKwzGcmxpwcl4C44NVVwd4c2R4r28YvUoPbF7KTifjXlxB8NlD1Feq8dCkUjRQyIJzfN5tr4Nlx4dApDgfQmD9cdUNMzlyZaPmK+qZqfjYXoGJ1KXbITVdWtC6rqQh7ZgNnQANuXtKNRJDMi9sWmwTO6MyiiGzlILjBNUyAXpI1kikUgkt6cbkb6+t/+HL4Ep/+R4MTBaFMUQ4BXgs785PlYUxfBb2YECaSRKchu6EcVbhEGuAqBZ70x8z2SaCnQcuXiFSQ9NQv+Wjmtd+7Fv8CBq1KsoTpzj/JYUFm14kBiNGld5KjF2k5DJFFx3+wrRsYdxKQvQpLVQYzOe4uuVmAY9g3zzAS52HiFkzkCcDlvQeqWSD9yqOFFaia1jAd4+qahUnUR1WFCX38w1I2ee9P2ItKtZuJW3st2wHueKYJLtPOgqTub82Cc5nt/BgdJjLPIZiVYw/tlr0wrG7BKW82J/FPY3JsDJgqLGPFp3fEO96yBG3z2Gl+NzCaiT47Q8ErvoGHZt3MjvfC8wa8xT6Iqymafdw1aXFWhdnTHK7yCiuZ59I0xY0HMFRWop64IduGvgSM6v+JhSEweiJofyUFo+5u2/Y13UEtZnZEILbOnYiZvQwBUXY062zmR4+0BMy6IpcuxhoX09/iPHULqzhcnOM3i5VIV1w1yMNbGcbdhC9Ui451gSI+qSABCNTGlxeI7rynTeK61lqas99krpo/lOJBpug4kL/1+9ndvUh+0Z+m17nl6eK+vDBBh5Hyax9GWPKVmfNtTqHX0f6qTvw2S33u4x1adluvvp3Ntln6hfa06UKIrnBUHw/ifHL//ky6uA+62+pl9yy257CoKwRRCEOkEQMv7B8SWCIKQJgpAuCMJlQRDCfnKs5MfHUwVBSLpV1yi5PdX+uDKeuuUzjDq20tO6Gb/TcK9sM0mnH6JeXYfnkmAu+HmwKqkKv8A4LOI88DN1puhEBu9P8ifUehgligZ2Ki9TY2bC+o77eN1awMfnXpyV1bScus5UO0+WOezheskrOEb6U+hdTLzmLdyGDMHMMZf6IDlPG/+FpcJunrb4C8WdbszabYKRhxF1/vvo1O8kwcuaP7QmMTR8MvZ2UUQ2K1iTtZXW0Mk0Cva/+Poasf2VK/rbJIoipbvXc3hoPAEPeNLe3UxT19d8GPw0YdNf5+K3R3EutWBE/f142Uex8co6nAu6WWn4FHuxjnIbd/5ksRFP2x4czkFA/iymOT1FZeo2Ltgcxie6lg5dG0HyLThOdcdTZkATYMUBRhKnfR9/zdcsbf2c5K5pFFSfw2SQMS812PCy+D5N6ljiq9No8esizU7H2RGLUBz7Bv92E+KcW/hiCtRb3pgrXGQtUlWfgM4qkzeKa4hv6ejv0kokEolEcqdYBRz5ydcicFwQhGuCIDxwK7/xrbzd+SXwIfDVPzj+16G4ZkEQpnJjKG7oT46PFUVR2lDnv4xGp6eTWnRdJwEdAS7TKbcooCfnGFl1kQzPUnCt5Thz3lmDskDD6rRHSTNOY8r9j7F96/MkKI7jqHiJKlUXF41y0AsG1OXOrNLtwt3yODUWjxI4fCKXWj7CvFiFYsiDTFl3ggajs4SMd2FRQRSGVhNqAkzYKluBVjBGaNbQ2mFCtvUaHAN1mJb2UBgYyy7DQF7oMSHqu3ha/9BMkfdexpo2cdX+CHqlKzadE2g2N/+71+imUv7qdf0tEgSBQ5oJDPOJYkjYDJLeP8Yg8zoenmBEW3sRjTsvUOdow5J5c3n7WhmDq5rI7xmDg5DNmz5P0mhrg6VFOw1n3WnpGITSphVFgAufvd1InI8FExc/wvWtqbjoLZi+YBjfZL6DjesMmgUrFPntiGoQjWFKwU5s9ANwCPZkUPFmnING0P7dewQ0GmHl5s3q5scIcZ/Bx45n8bK0ZHG7KTKnFl59wJoahZyRpUMJLHEm1OgcH4oPMMZsB2Dd3+WVSCQSieQmkf/oHk/2fzNI8pkoin8byfuXBEEYy41OVNxPHo4TRbFSEARH4IQgCDmiKJ7v4/X+olvWibpThuIkt5fCuk706gt4mgUQajOaUrMqMoY30OkWQ8DJ62hiJ2Da2EHJ4SQ+GBPIK1k6tJ+eYKD3bKJmjWPucYHsfRkEKQuxdSjA2ycFlaqLhmo5DYdsqZGdZcRTS/goIZAdpWYciR3LtoHtlGWkM2bxOiL2f0NL7ln2Rs5HV61HmV+Dk7qBDUYfscH1AayETHSpBmST5qI+eh5x7BRSg0yI6BQp9XfkmIUl5TVOGPdUssJUzcZgMzQ/ic2YyASe9XXpxwr/tryxdhFGchk5uy+Tn3OZkAHj8fIazdFtd5HoXsjC+X9Aa1CT2fodW9zX83ZeFQl1PdTX+wIgF3W0WhwkNHs305/bREr2Jvb4j8LOdyFDq+TkXD9DiG8YmLnhlJrKvEg1W11WonW9sddXUHsBV1QZ2BiVMCBnKgPKqpnkZMpHLvEYOZgxuG45jdcmoZ0+luW6DdiEL2ZDYjjrOzYxvbMKgKzEq9R2t3HVawryJD2qUV79Vk+JRCKRSP6R/2CosKGv85UEQQgFPgemiqLY+NfHRVGs/PG/dYIg7AOGALekE3W7zGLu9VCcIAgPCIKQJAhCUn19/S29SMmtN9DFAg9TT2ydIhlug54AACAASURBVDlolkG8rJSz5RPwKsnBxdaCSQ/Po8nVwMmODWj0DawIeZ5mq2n88MVhAl3H85Q+maDahzF1yKY+SM6Txu+yVNjNKy4fYmkyjnZ5MG2VDVirFnF3/BcUp59i+KQBeNiG0pNazu99s0mV76e52owF2T9w2bCWK6q1fGbdjF3rt3R4jyIfNbOM23nb9Bk8dftxM6pAUVTNhfb72JXmy4KGyVjnDsDR9Crzmq/gpjJCANxVRvwlyIP5zlKc7z/FSC6ju7WCS/ufxrTVmMEr5vB9dSbHSgcTGTGVkJFzyN4WT0x5Kt8NbaOtNp1YbQDmBmMQIdE8mDiDEmWwKQpbV/LPVPGaYRNPDLYh472n6FG747dwOt9VXeGPikdxLlDfjAMiGmivElipMWa4YE/T+RSGVt9FmRDC0pZmHgudQ9rpQwxTu3NJZ8srbX+kxmIVuwKm84z+fioM9hhEeHe4mt0xhYTropmmmMTj+ZXsr23u79JKJL9MEPqp8au3vlyuTBB73eSCodftv4leFHrVDAZZr5tgoPdN7H2jL+03SBAET2AvsEwUxbyfPG4mCILFX/8fmAT84rSi/4R+70T9ZCju6Z88HCeKYiQwFVgrCMKof3S+KIqfiaIYLYpitIODwy2+WsktJwhYOoZwWZlPh0yN3mDEhJJUtJYXKdMkYYSO8Lk+vCVbxcqjpbiOnsqAICuMlebkX0xj/uypOMR7UeNnzBbZg7TobRh8ORl9rcDmMUMJd/Cj4kQuz4Q60Gx3nW8vvE3AyKEU+h4iRbMBxejVLNnvz115P/CGfBPusgZ6ZAL3nbHgvpNWlPVcwXzIN9iZpvCR3Juv0xPwD59AlV5keXcZL5S9TmfsWPJowyukExe7BM7H+FI9Npyk2EFSB+oWOHLkKC0h5Vg9YYNcoac5bQPVw92JXvwS+WdyqE5LIKJuHkEBsynvLqepNpmZnYNZ2BOD9eAynnP7E4WVzhzdvAO/cn/Gu/6BxtwMDnheo2dEEma2CmzzP2NxzBW6aoNxyNXzpvoptol3oXLpYa3nS9SWDOd6dR31bhq2t5Uz32IjdeYTKGmyps7BjFbhLHXjB2Nadxkbly52B08nVraRUM3nLFe04OzoT1H5XsrNzpPSUEBZe2V/l1UikUgkkv/z42a7/4n2rwiCsAO4AgQJglAhCMIqQRAeEgThoR+f8gJgB3z0N+snOAEXBUG4DiQAP4iiePQ/X4wb+nUJqNthKE5y+7hS2Mjxg99iqmzD1rEAH99klMpuNBpTik55YNw9j6OfHWHy75cw9co+hjc8SWbq08Tdfx/fHFvJKV0Zz1g9S/CYp9mgVKCr1qPKq+Uh5QckVRn42mkDF9wqcfXYhY/GluGKeTRcM6X8WhHGQ6fyeIonH7U50BWzkHXiS5yxUPCejT01CjkzOobgWGvNPN1xnpS/inOdFc+Vx1FToaL1UQ00fcEst5k821bMfPt8wkydSBfH8DZa5mgFAo36u7q/XR1uI5GL7zF22AyuvbsHE00wL44agIXYStqnL9JtMozA5VM5VV+JXBVHWedJyjqz8XYcSWzldYYWXKZdGUx3fDWdXo4MG+bDjG3FLNIEc/fc5yjafxWT8jhmTh5NuTb1ZhxQEAysjt5Cl9YNpboRv3IHgiPnUtKyngEx/tTWOBCefQrfRY/SWrCdv7i5E69oZiEX2eyyBq2rM43NNnyRtIYmW1/GKZWYuNjzguYJBpu+Bvzd1hgSiUQikfSfX2lkSxTFRf/i+Gpg9S88XgSE/f0Zt0a/jUTdLkNxktuHvqMOV+2bmDreiOKtU73Nso4dPKJ7n8ZJfmBShGW7kobrpbw1J4r8Yjuq1meh6+nBctjvyLvqzr69uwhdHktzlRlGma0IGgNb9FFMPhDAoqPJHHa14X1hLcsvQdiCdbTZtpNz6gShjjN4JG8z9hfeYPBUD1LMu3jJ3pZqIwWiIHDR8wphls6oDcMIrFHgdvwwspmryTPXYmvcwSe2v2Ob+WCmHTXDvayHBjszhrd1sS/Cn0Az43/94iW9tnxkEI8tmk3NmQskpudj02FB+IhRJO3+iNORWTisNEZlKafs+vOY4YTCdCIIFhg6G3FPjkJTOxUL30vkOO5i2PJgcrIPYuxSQPHsRzForLhw8SombZ24RQ2ktS7jZhxQNMioSYjDu3QEbUGZnLu3GhNs6LrmxhjZRKqa9rF1eTVyM1eUmVMxMawgsqCKaE0Kq/kYe7EO0cqII+GTiO3eybDkT7Ht6iEtfhEyWRQ9ht9oDuM2IAjCFEEQcgVBKBAE4Zl/8JyFgiBkCYKQKQjCN7/2Nd5yvc2p9YEo9L71JZbX2+/ZX5E8OWKvW38wIPahCb1uOoO8V80gCr1ufYrVGfrQbvGmTJLeuZVLnN8RQ3GS20dcSCBmulhq/E3YInuQRsGRgLxcXs1Yx+XuWNomG5Hvc4yvGt+j08yOeSNfp8bKkqtb9zHTI45HrI6QV/AGebXpqAramM0FLiofYX/XXgp8owk2aqIzw4hRHXKeznoA445k4oZPoMlMiWVDHR7BLXxTeAZbHzfes7UlKltk40Yd363XsX5rN0U2LVyxUPG6ZyED7LZgME1kqH0w+jJ3mrOcSLlmgYn9CqoavWj3O0ez7BDDrf9+dT7JLdDZyKcXn8azIYeRy6aTWhPPH1pCsbVew5TRayjadh4x3QnH6oMoFb4YW99PjSySEn0YBf6eVHWHM2z4LJz8winb18Hc8uusCwzi0A9/wquqhfCJEyioPkZ5d8XNOOAq9Tju6oxmn1xE3jyGuV5ruLh/B8PrBqF0DKahwJtVVjOJv3ACVV0FbR5OrNQ+RlVRDMP0V3iPNXwirORV++docsvh+WV1yFsMzO+J4fm6LlZnFPd3VX+TBEGQAxu5ERcfCCwSBGHg3zwnAHgWGCGK4iDgsV/9QiUSieQ282vF+X5tPw7gyP/d827l6nx3xFCc5PbQqdFhbCRn9n0f8FpOys2V8Rw0NcRru5m18yhblt3LK4M1bDwpp6PpLK8umkV7YTtpshQ88lPxnPssk1d8TEFNMjNtahhjvY2VtubUKNwYaXqGOZrlPEglD04I4pGPZJR++S4zHvoEbepGzjY3EOGxHKsvz1LrmoV/mci8hCjyBs4iXWWLQteNnXYLbWOg2m8CDdutaVLm0ukeTEddDn9WZjCg7jJXvO+nufoC+ilunMKREQYDKlm/Tz38zdt2rZZY4xqMH5uEhacHGd/9hbGDTFkU8xg1V7K4fOUC3s7u7A89xNxEkTLvWWhUDih66vAb+AP7DZNYPWUhSdvOoKsoInbgEiobDXR1H6N4fiCTRodybvvTKFQjbsYBAURE5PdEsklzN8ucvEmorkHjIadLn8bbASsJDHai49wF5LaDsFJ/h1+sJf4nJpODHk/fZMxV7YhdArOrVKzoUXG1+yqCvBvnDluMTAIA3/4t7G/TEKDgx581CILwLTAbyPrJc+4HNoqi2Aw3ouW/+lVKJBLJbea3MrAlCIIMuAdYAsQAGkAlCEID8APwqSiKBf/qz+nXOVESyV99ciwF87TPWPm752mpMsMoqxXBIHKNAQRXT0VQ2jHsXCmTJq2h7cRjpJf8QEI2+Kwaxdn0IzxXlslnY++mfPI0VHm5DLHew3oHS2RaAd96uOpeT5D2B1q9ldSazeWejmlkNfmg7pCTYPcQpxJl7JsXSaVvHg1Zl5lWFENhwD0Y5Cr0PSXoNEkUMYN36wZQY2LPZPV82vMCsJhdilx/GOQjubdYw0sqcwZ1jGGb6WCOdnTwah/jL5L/n6FBHpzVH+WuIX6c3rIT15o4Btp7EqAy563v7yagYTjhT8zircSP2StcY/HZJOzaoCFqBtmFjgwx+Q5RPZzufdvQuEXiNX0oyy4lYt++krXT53P9xGn8i+PIQaTTdCI69UUwtGNhEcTQ1gziGho5aetOUO4JQhf/kVNZ23jFowMry/sxzv4Yv1UPcvZSNfdZZ+GqmYVQNY2kugF0CGp6jKw42+3AiA4Dg3oscQ6xwqTqA3x9Lfq7rL9VbkD5T76u4Od7FAIEAgiCcAmQAy9JiQiJRPLfTITbchSpl84AJ7mROMgQRdEAIAiCLTAWeFMQhH2iKG77Z3+I1ImS3BYmWJbxueE8337+NMru5czkAk8rv8NFaKTEx4P0puXYG+uoLipjxILlqB4spCwzg8Ebp6BzWMugvZtJ72wmbsUyjn/YxFe2cqKyRVYcN1DutRCztnQOz67hSOmzlHfX8dLadVSv30D1gVPcPWc8y9rHYpQ8i7gx46lKb6LYWYZWV4Su4yIq9MR5Lie3rZm5aScZUteMftQEyi/tY4DTHNaWT+BV8zr+/P4xHB43Ya9xHsvk/jw9JBhB6kT9KgKcLAhwCqY0+TylCXUYWfUwYsJs3joRj4tDKTw8HIcBHiw/puO9YCWXBsnxr7ZmSrYC82Jjoj3LKd37JgdGJLN81kLKS0oJYzP6aaMJdHBi+7sX0IuVONWUUeGxCIVVMACOYiaWuUNozL2CjdEe4u+VE+zkhf5sNH7h/lhd3c72RR24Rgwi+Fs7rENdSGv5gRi7sfgbbuwXlm9dytaoQIYk7Gfw94dxjnmJY1njMfEfR05nNwPMTPqztP+tFEAAMIYbexieFwQhRBTFlp8+6cctOB4AMBbMfju3af+Zvnym9eFUsS8D+kLv/l7kst4vGS7rp/lJ8jvsZ46+D7NK9L18Q/Xln2kv30r9eq7kF00QRbHnbx8URbEJ2APsEQThXy4JJuWMJLeFQaNmM7VyCG2Zw5ipOc8Y622s8FQR6enO/b569O7HqQu7wNvlu7FwCMdt9mOgbCf/22OsDQ7D3TWJiyc+p7OhDJ9ZJvjlCsxLiCI9/FXqrHSo/aOYedCbVRVfMLJ4ITKzSjxC4khWJhNq2cVJGycOHT2OU7g/hT676aQWV6GcGa5LmOW5lkt2Z2n1vMIE4TynTU5gE6RggvNCbJoH4Xkxl/oiM64Nf4kMtQV+UYfRiiexUPzb8VpJH/To9OxKeh6hczdTl8fR0p7DFrWOnZZvM3rMehJ3HyGhZQHP1rfh0qPDo6YRp3o9xubnOGcyi/X1QwlyfIBo/3E07ErHLdmPB72msjftfdxyDzAqNpjDIUn45X+DSt0IokiFuoOigotsH9rIpvrFuLq8QtLpS1jVNuMaHMCGkhictPfSkqMmp+IoPQNUVBqcSGw4TmdPK6IoouY6H4hrCNJn8sz/yMgz6SCy057vBBWTEnPp0On7u7S/NZWAx0++dv/xsZ+qAL4XRbFHFMViII8bnaqf+ekWG0pBdcsuWCKRSPqdSN9Wh/nZSjH9/FJ+7EAJgvCKIAgTf1zI7hef889InShJv8uobKW928DQP36Iu3ErQ6x3s97Bkmqj/2XvvuOjqvLH/7/uzGQmvfeE9EpIICEJSeg99N4VBEUUFHth18WyKva6giiCKKDSlNA7hFATkpBCeu+9J5NkZu7vD1zX/fx2V0z8GpT7fDzej8cwc8/kzHuGZO4973OOgme/t2HWmRDesq/hZqcTDWfVxMVsZ9DiKKw8gkmQfUdzbRJDgv+Ge90iLmyNx7f/QialhJLnvZhOfQucjAdQ664hLzgK19I6GuKtyNryFTbTnKkY2Mj+2sssMV6ATdODVJd1UhMwDEd5FWHWEzDSM0MQBOxc6kkLteCGzoM5XyuwK2vkpPUlcguvstlyE3Oa3kZpeIW64oPEWCxlh7b/L79wyW8qpawJ0zITPBcMxzo4gtidV3hY+TkfzXZDLMwi6WQeB/WGc67xHrYXdzDYsZna4Xu5LBtBkFEhjuHVRC9aSub+BG4WXMHH3A+1ygz9+HNkz6/GdtEU8nxF9odfx+fmekaff4SAwkzKzG8w2L+JxpEORIaG0H6thiYjVwTLPC4MCMZ06hI6jl5CZTQSpSoLQ8GecrEfh8p3srvwLSorbciPm49hhz1f1ujRUqYkoSOFQPVHrFXsQvEHu7L8BxAPeAuC4C4IgpJbdfEx/+eYH7g1CoUgCNbcKu/L/z07KZFIJHea3iwSeIcuGJgPLAISBEG4JgjCu4IgzLjdxlI5n6TP7drxBYGK0yxY9SVe06N5ouIbBmeILD6nockyBI1CYHZSJ8cDL/CIjSFxVxrx9ffF815/Nt4s45uEJg5PnUJO/wJsW5W03Cil2mHaT+V4ObRjNEpGgqmMAd8/iI9BKSl5avqrrDnVsAzrhDwmLVqE7OLr5J5swf6exQSZJ1GoqCVBkU+roKa4fhgnK91Y31VFRf/hqIutcI0opU1MIcbAl6vFKWzwGYOyTE6yuScqaRTqdxfcz4LGhV8Q4WVN7M4jWJco8bZcRT+rEF77YTJBFQq6xoVy4OZwYrqGEdiQT7roxozWEhxKHFlp4Y6rqGbH8Rewb41g0PzpvF94ghhhDU9GhFN2LZ+l9f8qB5RrRZSa67h2OzEyz5lH3XIormilTv0lkUPWkHymhHeMzjNY9Sxf6e0iynsiBdci8co9QJbvYhRm/oi6FnzaG2mQGfGClS8HbJazOi6OfrYDKU65iJ+9CSqZdBL1WxJFUSMIwiPAcW7Nd9oqimK6IAivAAmiKMb8+NgEQRBuAlrgmZ/vZSiRSCSSPz5RFLcB2wRBsAfmA09zq0T7tiYlSyNRkj43d5CGmzmVHP9oA37Rg/HMElh1RMSmGZxKT9LPsj/Wbg4EFspwj36NqPQJXPskESdHfyy1I3g0bR25Fz5hyur7yHFJ4WTJK7RRhab9JOhaEHRakgp8KL9iTb5hOS5zIwk0MafpfBEbHGClfB0NxZ8SFjyBJj0TRig7KVe1c0Evk1aZGgSwrKrko7o38TeIQWlfRVXOPlKtH+Sp6mcZVTuIZ3fZ02ah4VvlOZ62VPGKt1Nfp/WuI5MJjPW3o6w+h6a958hva8J3TgQbrhUSVFWHYoUzFo5tdAeYodOXkyJ64KCuxb2lndryKgZPGM7ew4dpGViK8fMuqBuasMndzpKIG0wPcqZw27+XA+pkYC5omZJuQWjpCEb3X01X3DUsotqwDhuGXbo3tmWraU3JxduvEddRkdjkgEKdgF/WjyWBGHKt/hpddd9hFdZEWGgzpV17sbDNw6MoChui+aainjappO83JYriEVEUfURR9BRF8bUf71v/4wkU4i1PiqLYXxTFQFEUv+3bHv/2BJmsR4FM6JPozfY8yHoWgiD2OHqzT1Rv9qf6o9GKsh5HT/d66tXS3L0KehF3yLBPr17Dz+IOIQjCFkEQLgGbuDWwNBewuN320kiUpM/5jXmEId+2UJAlIz8hhSWxAo2Wg8nzmE6nyhKFNov0IBVFxfcR5DWc8nElOBa1knfgGp9M9OXFm9D86X683p6BxyhP7k2fyZOdG3Ex8ibYaiyCTElDdTsVZuu56tyKbfgCsm8kk9+xmQX+L/D6XgeELefp/9xMtHlv0KRuJ16hxtI2Fzf3ZFSqNrq7lMRny0kUqnnf5TEqu70wqLNkWvIOmkJGkx1kxUBDkUGRe9HpQoFpfZ3Wu5K6W0tWzDrivHJYNOclWtVNZLbs5VuXtzg5aRizLj/GdofldDnaIxO1eKd+gHeKCXmTLKhTZ/OK2p3hRq/ySMgiLr7+JfbdUwlZMprc5K2kins5qPcaNMLW1t04CnWUtlhxuHUopzuKUFq0sa5rCsNd7sc9RU1+6RkiJi3lkSwDLNtfJEwTycXCv1MxHBYcT2BodQId+lYUuk4EZRmrOzYxsn0+Lw1rwtrJBFlGHuUWLjyZVYKlnoJoG7O+Tq9EIpFI7lp35h5PvWTFrYqERqAeqBVFUXO7jaWRKEmf2nYhl5I6LUFPr8Dfqh/pp+LpUoWQ6h5Kk3o/6sb3aa2JJeNmGFNKTpByajPjH5xDlXMb5/iANl0tS72foMlwDke+Ps4A/5UsLzxGPwNnLO1C2GeYyDGX7cTZniOfCMZ+703DjuP4TjDku34j2d3QwXzHRyiUzYQuOfsNHmVFVjhGdpnU+Mp5Tv8d7mEPDym/QNbpwHM7bMBQTbz9QVy0V1hivhkbWQzG2guoy9J4WvEF21t9+jqtdy2FTOBoeShDg+YRFDaF7K+vEVVyg91DOtFpqrHP6WCFbjPWYjXUdzOntYKMuUUI+loufH+E+512sG5+ENUnzpBe2IDOoAsDT2dijufhFaSjy8eMAwxnWNdHeHTu5GGrSFyL95LqpKTp5heEBiezdKQlrTu/xEBvIKZucoxccwiZ5U/jrvdxUbsxzL6JbdFQYwr66jr6Fe2iyyOE1qR5HCgPYFqlJ5ZNA8np0tFPdY7XxKcZYdTc16mVSCQSieRPRRTFWaIoDgHeAsyBs4IglN5ue+kkStJnals70Zx+kiv7orH0skY10oX0sFgyXAPpVp8FsQV/y+HYKC0Zd20PZYa5XPpyO53lxYTPCeAd7YMsP1KKy8T5eDmKGLcbocmtYNEEV0xtA7ikzEEt6yDX25IDngNp77AkxzOaC4k52DhMQcwyJ2P3YWynj8NJVkjjuRsM6HRj3Y13qPQyYKtsFbWCLUJTNyYXKjhtspqEwCWU1OuhC+wgzaSa7+TenMrLI9x3LtZtg7nPxZUIK4e+Tu1dSyGX8bcnn2LG8vVkHk2l4mY8IQ1z8PCK5uqRdbRV+2KTpeVN9VOMMz3JM5YbaOmOpDPbGcdcL0ZULMJT35FPE/6GS91VJi6ZQlLODj51mU5axF4sHP5VDigC94nZpM5spCzcjYqLFozNM8KzuZjvvM4hDs3h5uVqZpUd5T6DLrY5nCc39CIhrQZMtGvk1QdhwfNynnkE9Boa8G5sZJ/Kjpdc1mFw4Qj9OzrJy7ShNXUwKpVjX6dWIpFIJHe7P18531RBEN4EtgKrgDPA+tttL5XzSfqMtbEK03A3VB+oudm5g7BHl/DCEZjSvQ0XI2+CLEdxwzgfnUsdnol2lCY2I1dO4eAXx5nx8oPM74hhUM1TZGe+SNTKxXwT+zC5lQksH7GBwwff/6kcb0fjfEbfuIyJRQudrVrCjMNQJ1fwfr8ctpd8QbEwAOv+Q0joTONpXxf+npPJMb3VaCq0KHMqMVW3sM/4EbZ33otS0NCZ0cRJm6epyFbzZVE1NQXtZC2qoLgymSech6On94tbC0j+H7I10aemqZicr/9Ol34kvksnc6CkgIRMG6J13sRVa6mp8SDSI4UQXSFN1ZbYVBlw0ziTxU+v5uULxYzQr8DosWgURpYUHonn1X6xzB/8Ltqzb7PdYQVdjvagE/ngyqPUWtmx/MYR7Mtd8R06kR0XrrPUTEPIqIWkbMnBz/ABMpocWa0tw2n0Sl46GMgbrVuY0lYOQEOXPV91u5KhrCXUYDvGQaF8WRLLABcXIoqH423uw4bCKkZYmDDCUtqAV9LHerFaZK8qgfqgbW/mGMmEnu8xJafnbXuXqJ7R9mLeja4X1/J1Pdw8TNeLD2Iv3laEXuSpNz/3NyPyZyzniwYuAB+Kolj+axtLI1GSPjV7+Ku0uk0jJ72UupxKPgj0x8XQmTDrSRgpTHEwaeF9i8V84zcZW6NBOPgosJPZUno5i5enhpCVZ0npq9dQWRjQGTSbzSkj+CqxBEO7DLx9rqCv38YCwz2YWx6hUIxH6VlLmstZEppfx3jkDMJPOdP13nHMxxvTGppIpqyMyJwAGsoN0UtvQqbWIkPHCwpnshoT0XMZR5fMigntnTyS+Q86hs8kzcoJV486DAel06HO6+uUSoDU77cQF5qJ3RorBKWWqsxXuRIWiWOnIcO7/TDSqajKC6Cr0gtb03RaxRgio13oljVwtjuX9baf4x/xF45+tg3/ohFMtH+Bzrwb2Oeq/1UOKEBlpBuzrPbgnmxMgWiIapAJ7yu9eM3tS0oLTUgouoLOV8bHNW3cp/yMKuUEflCO5PnuByjVWaMTBfIqdPQvukmGwhGX3FKmdDQzwrAQnwEeJGTvo8n4Bt+UFpNQX9nXaZVIJBKJ5A9PEG5dDRJF8RFRFL/7TydQ/zzmf5FOoiR9orpFzd+2xZDbrGHoqhFY2fsQG/st/V3sCbIcRaGilm+VFznR0o1jZi3LWx/F2Vlk0poVFHoc59vuL6g3NGdm2CuUmthyadcB5njNYl3HZjTXZuHhcYMr8kjW8ikPGW4jpWMko85Oxkldg9uIQJ7SPkRiqzVmA1eT2GGPhZEdG2se58WrdniHr0WZ08wMLhCnXEuS6kHWXoaVcZ4c6q6g3nMH99jfoMr2Ck2Gl3BTtFLeGsR64U2Ot9r2dWolwEXVSLwd1jEu4n7ytp1FL82G9+1MSG28ipvGmkVdw3igcyz2xpG0tNhgEmBA4JxlxO9KZknnLnaOhab0C9RmaCgW6zANcmLF+Ubaqv1+LAd8mh3iXD5Sr8Y+N4siowP4D2sl60Y8j9h9zFsjOijcvwG3Rn36DRxAiOITZo6ooj7lO/S9+Ld5Va/5ebMj6jK+Ds44FEwnUT2KtPpZyDXjaVZEoGfvyTua+1liIp2gSyQSiaQP/XnK+c4KgvCoIAguP79TEASlIAhjBEHYDiz7pSeRyvkkfaKoto3BVU9x6oAzD6w8QmF1HHsxpDjtEoOVbWQ6HsHfIxGVqo2RDSqOXTUgMrMUTWcrbmMX8tGhdtqr43h12VQaCxopqqnCr7EOg2HDcH8xlmsvOPBF+XKEnA5UnRVcZzpBdjcwLHZjlMsSJu9+B23FAVwmzcPwuza0SR2s7ixhWNF7OM38mOmZxxhlvoMVlsZUKvoxTBaAT34/QkjirNNImo2cEW5aIuuuxsIhDEW9in+McGGMlWlfp1YCvLBwDIIgUHL0MteSr+Dh4kHw4GgufJqPWHuCIIthyBQGVPt9x9dt84m+Us3Ac6kImWUEa1fg6jSOD46Pwai7jRn3fEpB7n7KnPUIK/EirlpDp0xKzQAAIABJREFUTY0HAN3IsNIW4NP/Mv4T5pD8yVUcjUfj5WfDRrcEPEMHElDWjnGqgjGjvTgu7mCJQwZfsBwxV42g1rJaXUWrsQVllQfp7LQnxTKE7/wWMaPwEsEZV1G1rCI2cy6hQYP7OKuS/0kEdHfGt4Pb0sOyPLE3mz/3WTlfz94XWS++7cn76Jui7C66Nq7r4YeiVyVpvXlbe9X2Tvnd8qcp54sGVgDfCILgzq3V+fS5tVLfCeADURSTfulJ7p7/bZI7SpirOXUOQ/He50PO9nNEjbuXqhJf7GP+Tr7TCTx9L6Gv30aB4Ilo2cUoYysqrQZweuv3jHafwDpZLIryp0jKO47zwqHUhl3my+I9jA9cQ63PLHZWLEK42Y55ZzOb9P+Om1BEi7kLVpZByLJLWeSfz+H24+jcDCl16+Bk9TfcH27GW3pqTjZcI9x8LxtsTKnQUyAKAkk2KfgYKBjYJSOlbCTHE20Y1jENbaEPeW7XKRcOM9vWFEs96brEnUAQBMSWar45thaHug5Cls0iqT4VI+woF/txqHwnaXXnMSiQ80jeSZzVUPLxpxS0a/GYE8kHyflYlBkTNHc8xu5+3DxQz5q6fT+VAxrr9EEEpWMnH7ou5ajuQ0putFJZdJkBru68lNTNzEYr7g97gJxjJxlWM4lOwwC8i/QI7UziAcdtmI6Q0TnWgee0z7DPbCzy1jB09mGEtr3Lc27fsMfxBltmlmBWJ2dh9yg21HbwdGZJX6dWIpFIJJI/NFEU1aIobhRFcSjgCowFQkRRdBVFceXtnECBNBIl6QOiKCLI5Nwb/SbbLnwBiWl4jg/j60gL3t9Tzjj3aq7II9nFMnS53RjL2pg5NIbQ1k4adc1kJ6UROXsJilWZlKckMODTcaQ0PEjbyWRuGJUxaLY/6stqZnKBv6p28bLcgJEdm6kymEdN/3SutybhG7maZRvfpa09Do+pnWxqNsPd2I5H4gagu1nDGyMUDM4QWXxOg3UzNBtoKJ5kTKnKhqd1ifhXxlAZtpb8lEu4D9QR39ZBu1bEWLosccfYFXsDZ6dy9GeaYe5gyfH9f8WmspvufotQmPlT13ESl0wfKnW+uOi/z0GfcuYMdkdmJKe8cQvf9H+Mo1NGcn7bQczLuwgNeJzrTUcIsxyFl+7WCoxntNt4zHEbtik2VH/ejGgYhMuYEJISLnI66O/EtFiTUSXiOaiTxI4cPrf7Ky8W7CDCJ5ah8jiK5a5sGbGK4LpThCTq4RC2jO/jTXF26c+oso+QW3lxJe0YckMRTaMfRoauQL++TaxEIpFI7k53yoDYb0gUxW6goidtpa98kt/d/uulvPXWyzTRxaSlk6jo18rxK2/g6B/MTNVsElTBbClfTntsF3OKjrKw4UmOFvcnNaqOpgEJvFt/DH2rgdhPfJQ2RRO5B8/xvFcoc4w2cTruIbyGhTKz6zxv6G3BRmhkQbIB5lVrWKk7wwV5GE9kz6NZ40pxyEQSywrQd5rP5bQwvrkq0DnuflLpwDNLYNUREZtmqLEeSI3DTITWo7gEHiTMs5G/21QhONYSauhLtvwBPtEtp1n7J/zt8gdm7xFErfdOoiJe4PL27zHJieBYYAKeObtQqetQK4dRoXZF0B3ma5sphNmOYMy0VRR+dw2vnAq2+rXS0JxN16FYalDhMiWEMq0t8bUnaOtuQhRFHEvH43o6BLlWzU6/S8hGF5F/s5hF6k/ZHpRH3I3PCcq7QnikP55lG3k64Ds8yyaQlxWFWm1EP7GI9br1GFZpeHlpDXX+LgyvHoez1VierX2YcwZr6OgYirXnDCbU72GxLLOv0yqRSCSSu9WfZ07Ub0IaiZL87hy1xeTqtrHvm+usevR77DXfsbY2mtwbZTy6dj0rD5xBuNmOoBO5pOfC0svOrNbV8u6M6ayONKJt5wVia7cy+Z75dNU0k1BznBmqIHT9ZhP+eTMl5pd5Xrmbs0YKPrSwRmNpy9LEXFI7BjMr+woTNXGYXPFncPRk2s9ZY5Pfxdvyo5jlH8F59FfYlkYy+PxRGi1DyfOYTodCh6bjHC7dBqw3eo1HLfR55Kt9uC4RuGzeyciWZsaH+eOor+zr1Ep+Zqy/HWP97ai6GseNaxVYm3eSGyhjv3CdJWcTsGqBGjM5WQ+5024XhH/4S5TeqCYz/hxBLmPx9Z7G6V3zOTMgm/sWRpOfm4qhYE+5KFBcvhN0LZjo2dCkGkiyoz9LlGlMiF7J9c03sNbcg1n4eFpaXyPtAQ8G69vSlOBDaOQIrLvaEMonk1DtR6ugRiXq4aDN5x3ZTSqyaikoO4a5jSmJQ8JYZl6Fz6XXsBv6EnuSJuDtNo7aLg3Wyrv7V7cgCJa3cZhOFMXG/+edudv04tJrr6ai9MF8KqHPljj/Y33L7M3q29pevLE9btuL9PbiI3FnLFMu+U1JI1GS311keBSeLWEYXB5OyqEEBkW9QnRePI5n59Hemk5nLj+tjHdW9jJe5m7ozLqZlZTLQpdwFtie5HLKxxRXZ2Iz24Frfkreyoln1qhnyHV1Je3yJRKNOjheZc4Ln8GHG4vxUrlQYWuNRpFPo6eOHddP4OjrRaLzaS5XfIRRmBcHi/Spbiwh1amILv3BpLqH0tS5H03LLsbbTaDBYDaKuBYKExXU+j1FdoM9Mt9YmmWH8Dc26Ou0Sv4DsauNT66tw6H6BBOWTGBtfT3X/QVWP6JgwToFxyaGYloymmWpFwk1M+Pqp4+hazPH+54pHKvN50DRQIb6zcPXdxhVe/Lxyj2AUuGBvtlK9C2epNv4XiwdNVwZ2J8fhr5PaQ4k5V7G0EFkX1U3BXVTmeD8OGe+/5YBVdY4egeSUn8ON401C7uG8kDnWMbIRvCK/WKeFx9GndaGvvVM7JpO857Js+hzlSdXd1GspyZa7c9urQFDr96kS3fX/zUuBxKA6/8jUvqsdxKJRPJnI3LrasZvEXcQQRBcBUEY9+NtA0EQbntDRukkSvK7qm5R06nVMWHNZ8hNG6mNS8WqVcNTkzwpSVNw5aUvmPFjKZ6zrBaZAJFOR/Cyccfe/SZ1Vem4TH6ZMQkjSf04Gb/+ERQ0TcLh4D7qmooZOzkSrbUlcZVmLD8GVi0K5AhoM36gMzyZJLcARlouJipnNsUXCrAZYsWHZlGY2U5jVO5YOi6A65AGMlwH0K0+C7oWlHJ9zhmn0iCk87bmUx6vfR6NbR2lpUeocO/PAaU7mj/Sqlx3kZj0BoY0NWG5qj+mQYEEtxjwUm09Dt0aXKrAocgXWUk1kc3xxB7ZSaJfDsr5tZg6GlGb8jplkf0IXvgc6T8kU5x/GYU6Ab+sW+WAiCL66joUYh1/07zN2yGGJO99EYc6fQZOnExV81eciJiCv5s/dcUmVJiaUaRLpLijlPjaoz+VBGrNjzAs4CpuivOIuZvpb3qB4ut2tKXPwTG7mt0tWsqKGjnfdAKPzs9YqDiORvq4ZYii6CGKovt/C6CurzspkUgkfyai+NvEnUIQhJXAXmDzj3c5Az/cbvu7uyZE8rv7ZP9pPMp2sXTNm4xauIADue9Sm5jNvHFvEO5YQ15ZKc/r7eassYJ3LK2xLpfRZqPjvpat5A4YSszNYvZOmELpuCLMCqspO5XCpkFWbM2/yK6YKtY+vJ94cSuT34ZGy1CyvObRJZZhiCE/lKqor9Hj/qXjqHP8AHX8SewmPo1+zG4ud1djHRFMWWkcdvYPo9a8iouRN0EWIzFQmJDo/jkamzxir3XzjoGON63cMcn24ytDXxLbO1DI7qwrK5JbhvvYckQdw9CBjsR+c4gfhIVsaP2MKW3lvCVY4VN6Ax/vXD61mMCBCidmy5YxZ/Jj3Pz6HNS7sn6IPUaaKlL3voWB4RCOjhCYfyyBodUJAJRaOWJkvYLiBD3ag1u54nQdp3AV4a3tuGWn8K6fkhOlyTjk7Wfwgr8RF38IA8UgitsuU9yWAYBK7svQrDSc60W+ndbIvYEDCTlkgTjYkQeLvPC1vJdZiXk42Y+nJuMgw+xlGMrv+utfkb/RMRKJRCK5e60BwoGrAKIo5giCcNsbft71f4klv695jtVcaUtkz8a/YTfMF21Af17JG8nnCfmEP30PfvZ+JBq3c7zKnJc3w6rT4Sw+PZO4ag1lBVZEX91B6rGNjF4xhQZHGeerPsDe2YaojpHYXRtL0fUS9EJXo9EPJdU9lLb2nXgrG7FWFDIovoHNurVo0j9g2PBhmJr64VxWz1+ttmNZ/ChBUR4E20wkuNoYFwNnwqwnYaRnhkyQUaGbylrdB5jXBfLGJiWWevp8r0xkqbKLY6E+fZ1WyX9haaTknkg3GqszqDqUyh7vyTyvXUmpzorReq20jb/MR1YTsFAZMdMzhqlLp9KcUULcxcs41JgRGjWRtP2fEhuZheWzHgy1a2RbNNSY3poH0GA1hPiqm+iZ7mJtSjeuTeEsDH+c7AMn8S+Yi6/L/dgnxpC3oINuV0/0kwfjV5SGnv5okN2qGAjtCsUzewqnNT7MrQ7AocmLE8Xf0uWcQ/0gY/wiRFQFm3A3z8WyIApz3VRO1jbRfRePfoqiqP7nbUEQ5IIgOAqC4PLP+L/HSP4Dmaxn0RuC0OMQZfQixB6FTOh5yOl59Obn/tFokfU4dGLPQhSFHkdvFlMQehF3zCIOf76FJTpFUez65z8EQVDwK3oonURJfleeoxcys2oEVVkDyLyUxpSgtTxZt43muKk0yRuxmxfChUpzlh8Dm2ZoMlBiYWvG/MLhOGYfpNM2n4t7t6JpqMRnqhnvW8znxaQSIu5/G61pHYWHTjDNOoQMlx/L8cQ2WswMqRhQjFfHIXZ02HBhzzGsQt2p8t1PZdvnpPuNoPtIO1aGKq44HOVG1S6CLEdSqKjlW+VFtqhOc7OyjoGXr2PISC4PeZ5cjRFBQw6gFc+g7O0XC8n/U+puLRfOPEeR0X4sHDvY6z+FKOET7m3exBMdn1Km50F4+QDGF48jwtKb7YfW4lJZT/CcSdxoSGFdYwimZk8wYsBcQloNmGjXyKsPwsLn5bTJzuEsP4K30gjR5ArXo5ej16rPjbwmKvVrSFRpebt+CYp+H5FxIYPOykyU6usEFiRgppqNyvRhEiuOU5dzkINRw/l0wLNoYi9jrxpNe5eMd7ufZHHbNTbOU5PnaYBFXRsFlsbcm1rAxcaWvk5tnxME4VGgCjgJHP4xDvVppyQSieTP6s83J+q8IAh/AQwEQRgP7AEO3m5j6duf5HcTm11DfSsEr38TT4NuSs+mYY8Wv+gx+B/xIv3F3XgE+TLlwq1SvIsRr1DhPJ12C3OyZlQyKaebiQF/wax7GSe+vIC3/2J8i9uJOPMEJopyIkZMIsuugOzsy6i1ybgYeTPV+SGcLHUkD7CnPGIIEdcd0XU9SGODnDzviTxUN5lZ1vPRmT9OdoYGk8EKDlkYUK5sJ8PxCP4Ruxg24mtGDtjKG8avE2b1LUZ656nPj+FL42f5ojOwr9Mq+QWN7d3k57sQPGYs88WvUTjI6RrlQONET4wHikzIqSerMo3B04ey5UouTqpMGh9swT7Eh+yTnxMZlMCCRdPJ/+Eib3TPZ3SrhhOl5SQUlaA/vIgI93ISm+4nuvQSL7masf/KOwQUXmP0+Cgas15Fb6SM0UMDaT+ZTKdRf3aOBPP6BIZeWc/gGxux7ByIhaKKVY6beSYgkx+036JvcRgxy4iKlBVcLrLntUpzzGo9SW4vwV2xl2fEDYQadvd1au8EjwG+oigGiKIY+GME9XWnJBKJ5M+oN6Np/zaydud4DqgBUoFVwBHghdttLJ1ESX4XGq2OM9+8Tez2KVjYCvSbNpq8QTF8m/45QwauRDN4Lo0tdRSfvY5GP5RM38V06lshyA2ok2vYaj6Pl0b/Fc+oGZh6ith3GdOWVs4noy051VbPd5+9ht30ILoG1vNBU/a/leM5NQUTnzmc4kpTdHahGOmlU3T0EM76k5kef4DslnoU1pWUJh2k2eZpjl3qT57TCTx9L6Gv30aZ0I9GYws2mRvzkbKSSP9pBOsm4GEdhqOpR1+nVvIL7M30mbnqLcbc8xahnUk8wCasxWrQaZlQ/T56bTHYeh1HUHWwpb6YbfpvMHbsJuL3HsE8ewgLG8bjK1ew//wz/KAcyfPdD1Cqs0ZPB8ObVHzUvBrrhhYGN99Dl8Idk5ZTJN/fjJGTOw0JeqxoqKehaD/phrtxGVJNnq/I5skCNaZg1pyPR+5nZPgHIUuyxbvNHjeHUswmD6Q7I5cIpRubBD9WW7+OwdVLeModyE43xyyvHwZ6pn2d2jtBCdDU152QSCQSyR+LIAhybi1S9LkoivNEUZz74+3bPs2TFpaQ/C4UchljhuiTsKON2La3Gf38y3wQO5f6U7V4KW8y4vEJXN0o52LRF3R5zaRLk4+mJRbENmg0wVhvOk/pracosYFpq1fy1b7nyC07xcKJ7zC3cQKZHZ40FDejtn0Cdh8kyHIUhYparunl0k4X91U0Ymi1D1thFs4200moziDaTMtFq30k1BUwI+wZMtJycW3W8L3mecrdNVyRR7KbJdR2WiJv6OT1zBdxT7Kg5sluLjSd4ynrQVha3s52NZK+NrCfOSVNxVTkhxLhG8dQeRxnO0ZhV26G3qha6vVCiNt5iXud9jBs2gMY1ZSQdDofY4MWhk+cxSfHz+HkWoW+Axy4OZyYrmE/PrOG5/JPkW/mRVD0IN7OL6C5eRWPTJzGme++IaQimIBpEzl+YgOBAzrwjBrP0j2f8qG/HhcD5MCtvUNeTrbDudKWrbXO6GpnM1BvBhdqdxM23B5Piwzcffw5mn2YgWYB+OfPpstpIFvKGhhibswgU8O+S2zfywfOCYJwGOj8552iKL7XJ70R74Kl54Wel+L0xV5PvWmrkPX8/ezNPlF/NNpeTHLRiT2/lq/r4QeqN6vD9eIj0au5QMKdsKTdnTefqVdEUdQKgpAlCIKLKIrFPXkOaSRK8rsJG7sOD9VMcrJ0FCam8oTfZJYYfMr5w8vRGclwnG3OXudBtIoVOAolTHW+l1HuqxjtsoA1pRc52mpA+jvHEXUtuI4I4cWG+3gjvhbfJ57HSa+W2iPxLHf1ZrrVDsqVbWQ4HmHAj+V4buEnqU21out6Fqrx/SAyhtqOw3TKRzNoYx0yL31qvPegp43hBydLElTBbOFhagVb5NVqVqZ/y3Gvh0j2mYDctB3/iKNoNAl9nVLJbdLpRAr2/B3P8mjysqJQq41QGmjY4ncPeXojMc+MQJXRRHD+UgJdJrLp4tM4lh5n9PRI2rvz+ajLmP2mH7DE4RvE/obo9G9thznEIJUst3NoLb5F31ofh/aNmE6wwdfUlKqbIlk0U2DexF8Yx0HX76jMlHGtcQ7rappx6NYgiCIB9Q4U1TdzuDWdbP1SdocvwjzxDG51oDRzZnTFMe7pzMPEpRpVmDvZhScRzSrYkF/CyZrqvk5tXyvm1nwoJWDys5BIJBLJb+o3mg91Z82JsgDSBUE4LQhCzD/jdhv/z5EoQRA+uo3naBZF8bbrByV3H51O5L3DSUwe7EXw4/PI/+oiSWdiiV7jTUnQfQS/W8b17mNMeGUZ8qzzOMlOEWY1AYVMj0s2MTS7VzIhZSrd6R2UmwRw/OsjDH1iGQ8ffB7XumMYLT+M3ZAIksWtmNdYInovJU/vGJ6+l9DI5TzV/gFzDXcTbKIlX4wksFPkG9nTVKUZEeMdyAH3QkxqBW64D+OY1ptHG8N50GU0mgotypxK/DoLCLLaRyk6zLU6uqoG86TTFh5useSZ214IU9KXZDKBfS1RrO4yQiifzLVqX8ysc3mg+wz9GgOR5SWTZefM/Nkz+SK9HO+SSrTLvLAZM5zvt2zkEdfLzBj/DOnxSQiOsNtxCbXYormayygbBcbejdQcSMOsyZzZU4LZn/UPLEovEr5gHdnpu5jUv4l7A5bTuPZ9DvrNhkbY2robR6GOuGwtzY3BbLQfzL3t7/GQUxCf1WSiH1hDcO1s8jMWcMoqFMvq89i6jSKTBDxtFSzUbmFXxQO8V9yIk0qPdR4OzLG/u0ZGRVF8ua/7IJFIJJI/rL/1pvEvlfPNANb/wjHP8ysmYUnuPgV1bbgkP0ZcGSxacYTSEdYk6V+gMPsYT4xcy7fHN2Hb2ELV5Sx2jnWnJD6CQkUtCYp8dKpWPm2+j3OGtbzabxZmBiWoW/RQ55UxeaIf596LJal9EwEPPswnyYOIKdCwJ3QFp+UTuCKP5BuW0u9GPo04kRZaz4ALDXRcLiDC0Y7wtGdRzX0JG3k67fHdaIdPp/xEAsrIhTRUtDA38zDPyr7DVlnLk3VO2Del0s/5WQybjHl6WD+GmBv3dWolv8Iba5Zy6KHnCbOehJfOAV15FCICN/U3cdwnlZlRK1CaG3A9aytnHV7ncHQU1w9ewDHfBnfV/bgY+3DyZ+WA3Sh42Gszerp5jC2opjLrOAH2fpjZ+GMVc5WmWV0YDAqldnMREfamBLg3sMr/Cp1ey38qCTSig7CBb0HrWVysxlN9dQTukyYzr34W8qAIrscfwkZuxVEjPa54rGXf9bMMKCnieOsgdqjuR9N9qySwtLObp7NKAO6KEylBEF4SRfGl3h5zV+tpWV5vyvl6U/vSi4vXPe1yb5YMl9Pzui95L2qmZD1MlK4X/e0NbS8KonQ9fK2irm+KsHq1oMKdUM4Hf6pyPgBRFM/3pv0vnUS9L4ri9v91gCAIFr3pgOTPz9PGmLiBA3B5r5zszh8YsmYmf41RMSF2N8UKeyY/Op+Y776guPg1Fg9+m3JVO3F6mWgFHdo6e2bVncHH6CtuWMwhevE69sSvJrfqJg8Nf41ik0ZSslvxbxEx0E5mxMUNlFveT4IqmC94mC5BnxWmO8kRL3LY4hlecVET23qR5wJm8FReOXnluxkzeBbJVdksMmpmpfIJbFR/Y15OJRvkn2Mo3No+YGWyLVV6/lxyuoAF3axyHopcrtfHmZX8GgZKOcUdpVB7lCCLkRgqTImzLedoy0CGGHUzYvqDJH4VxyBFKg8OdsZMqCf5uzhqjRUsmRHNS1fKGV0eTSY6XDwSUana+MBsLVX5/bFI6KBVPha3WZPYXZ3AVzzK2tAQko8nYFzeQsCIaN6JzeFBPRnXHduoF8xQ5LTQplaxprOJw1YTMC25QKTCkyJDW7Y2PMODg4dSVh+PMtCaMM27+PcP4HNtPMajWolRGKORy//t9XXoRDbkV9wVJ1HAA4IgNP+PxwVgIfDS79MdiUQiuQv8yU6iBEFo4V+vSgnoAW2iKN7Wyk3/8yRKFMUPfukJbucYiWTJ8NfZcXgnzanZuGRX8ekgL/bnnmb/FymsXX+U/hMdmZ8RReyxPAKUeVja5OLmnoRK1U53o5Ks722waVRj8LgZzX73sPeEGnP9HCKWjcdsbzIlxzJ4fXYAH6Uns+v82+wJfv6ncryNYhQfXSimv30yMXM88bMoJoEaJmUMwOxQHbq3TTAo246juYqXZS74p1/kGTGBsyYKPrSwplIhZ5QYiGehBSOsvifRx4v2zmpMDJ36Oq2SX8lAEUxx2yWK2zKQyfQwHgA1vtFUnRxFUVIlBVcvMMBlGgPvWUjM/hXkG6QyfvLDdAmtJHfEsrjLGaF8MgnVfrQKaoxEFUEafY4O2oynXIetx1JMzn3KjHAnJvqO5cqbV2mycyNqsBnba+254L2ZWd1fst1hOV2O9qDWMufmP7C27OK+1GKKPaFOe5qy0QHY6/KwzjiOw9glFKToCO9vjH5DEqLnGD7X+89XUss6u/7j/X9Cn/PLc58+/z06IpFIJJI/JlEUf/o7IgiCwK0KvIjbbX9bY5qCINgIgvAXQRA+EwRh6z/j13dXcrdJK2ti/cavKOrQMHrVCPQdXDl7aRteLvYMMVuMSc1iTm47jn/AMmbU5zMxewmGNhnU+Mp5Vv897mEPT1l8jIH7SOqsTEjYFcNi92ieEz+nLmE+VoOcqPPRkmb3CejVMax7An4XRtJQoc/cjMNc0q0hV/cUnf2iQG5CZr0jX5Q/wIbLljgPfYwkR38U7W28r1zPX+v8eTgvksBTbiSZtPOStSUVegpEQSDL5Aq+BoZcU0eyQXiR2Dajvk6tpAf8ilLR0x8NMhMc9T0wKBrC7Ng6ItMucuOjJ2jrMMP7nomcqK4kOd0I/yH+DJq1nNRdSUytP05q/TncNNYs7BrKA51jWdg1jHdsfAju8OHeuespOXodVeoQZsgWUJy+jWTLH/AY2UJKQjJPmL/NP4a1YZ/TwQrd5lvLrKtkKINVTGz/hMEZJ4jqb4tJ+jHek39BjvYcH0/ORGbbj8DyyXQJI9jS8AA1qkVYiXX/8fVZUf87Z7RviKL48o/zoW7+8/Z/uO/dvu6nRCKR/KmIv1HcgcRbfgAm3m6b2y0MPQCYAaf4167wh391DyV3nYamZvq3vsDB/YtxHhSA6fAmttq78mZyIiOWv4SJdRP61VpaM8t5Y/YQCrPMqfTUZ6tsFXWCDT7xqXhkFPLmsJm42nuRX5uLrLUeedQEBu5xpeLzg0TNDuQ9+aM8cLmTkIXrabBoYW72Ed6Qf469rBZBDgOs9hBlE8ijedWs0+byWuEDuAXLCDDUR5bRjWeFEoOjZ2D6Q2Qaw4eWlgzOEPnkEw3fbdDw2h45oqUjLZ2mbA90Z5SltADYH5GqM5HAggTMVHOo1lkiy9fgdTWTVq96YgdkYTavGVMHQwrSX+LooIm4LNxMRmwmbenpBFfdS3FHKfG1R2nrbkIURfKMr2Dil8P3/cahMnDlzKkLGNa14hYayIWzxQzxUzFo1Fw4r8MmcSb2Oifaqn2xydLypvppdohz+VC9Bgd1Ef+YmwfuHuinj8W0ew0eGcW8ZWJJRmo8pRVx5NqrORI0HiNZPfP5GqWo/rfXphTVzNN91Uft0IXHAAAgAElEQVSZ7TPrbvM+yW9FEPokerUQWA93BJXRixB6Hn80WrE3IfQ4dD0MUaTH8ZudRPza0PUifisif7rV+QRBmP2zmCsIwhuA+hcb/uh294kyFEXxuZ51UXI3G+7rwPZzI3E/aEeayVnCF69G9/kRPJOfRW31NlMff5hdJx7nevk11vhtYFL4iyxRGv1UirdY9wOZupsUlD7GJyHWDDU7z6aiGNYNWMV3AWaUpOYwfcEkhjZUMqd8NcaBG4kKHc2kqjWcNVHwppUN9qUCam8lMxuSwLiS2UPmsWYPzK64hLlvP843JPH3Qaacqf0EPXMnQi09yMoUmRU/mOz+00lVWSLTqhHM92JlVMkEKxMEQdod4I9oxwiRB48mMLQ6gSqbEEybC6n17uLVgL8ypzudmZPXkrEjDlmjER8ObsZJv4OED9+h0nwAEQtGEp+cS3HbRYrbMgDwcJvCpIKLaFK8OCzbgEu5gM+Ds0itOcN7jnNZ5rkGp6RGCgvPETR9Cq+kaZis8SauWktNza2NmhsFfVy6MlkmyLgRdwFVdTnd7uN5KHklCwc44nkqC9F2DF6NX7Lerpg8nRehnUkI+pvYLS6hFhvkaLmfTYR2JvVlen83giBMAiYDTv9nFVlTQNM3vZJIJBLJH8y0n93WAIXcKum7Lbf7TfCQIAiTf0WnAPix7K9aEIS0//K4IAjCR4Ig5AqCkCIIQsjPHlsmCELOj7Hs1/5sSd/r1GgRZXIWznmPKkcTquPTEKrUfDXSjqvtDRx6/S0MbAywiprMzuxRvHHoEkH3T6eh3Ai99CZkai2fMIoxZwNYe7yONLUdGforqThaQ3p+LuFzB+BqO5CsU2l8OM6efd3dfLPjXSwnB5BkfKscT94qY9WZIYTe8Cff4zxHA4K5YerFw5cHYvmtGouoLsTgs9R52ZGTY0Z1Ri4NzsZMSgklz3sxnfpWaLvzUatPoXVQUuLiR6v2j3elUHJLnq/I5skCNaZgU5NIu5GaghH+jPM7y4xl86i9UUxc7Dk8Kj2IiFhE7oEP+T7wGs4zdCiMZfgVpfxUDgggq6/CPHEwZoWVtDR+z/WpibhFh5N3+iAv2H/OkyH6VG95B6XOC7dR4eTIUnDsNGR4tx/GOn0QQeOm4F3P+ylgBs0ZcuqMPDCQHcchvI6A/l24X/0HkTa5FMZbY1AwimHZmbc2DdZe5kMeZi3vMpkYwrTXqCwI7+MM/27KgQRuXTG8/rOI4VeUYkgkEonk9vVwUPf/F3eQLaIoLv8xVoqi+BrgfbuNb3ck6jHgL4IgdALd3Fr5SLyN1Su+BP4B/Lcak0nc6qw3MATYBAwRBMESeBEI5dYA4nVBEGJEUWy4zf5K7gBfnMtCc/UzVj70FJPvm8WxKztouvIyM2a+yhyTxSRXqDi76yiTVyyg/cQacrJOklK0BVWummlc4Fnlbhyo5YTbAiy1rcy+kcuqiXO4krCCI7EneHbVCW6UHKDMphpP85dZVDOOnDZf0BnygdWtcrzF53RkeLph11hKXKYZmSUu7KtvYebk5WRcO8AY01G8WvQ35htaMK1xBm1pnhjOKKIgfRpdmnw0rXEYygSGWk/m4xpzTjg68Zc7ZalRya+2rEHHB/4KLgbcWtluVIY3s6qiMa2/yqAR9ny8byr9aiMIfGQKN1ryeKXIlWnmk5kYvYrUbZdQqhMILIA8j9l0qiwp7a7Ep+Akn8wIwbnWhpVzp3Pz9Hlc80Zjad0PIfc6XwclEO3jSEFqPjObvialMYwwq9G3lllHx0VhM/3tr9GSboZXWiquixZxNbaBlcb5BKmqeGR5M88H+RB1QA/ZSHfWXLNhvVr+0yqB4arLhGgSKMiJwK98Qh9n+PchiuIN4IYgCLtEUezu6/5IJBLJXeHP9/XnYyDkNu77j27rJOrnq1f8GqIoxgqC4PY/DpkBfCWKoghcEQTBXBAEB2AUcFIUxXoAQRBOAtHANz3ph+T39UNSGW8fz8KhKQkvk0N8srGAJ5/djZ1Oj7Vl0WQlVPDU2mdp+9tGmkprqC8qJ2reYowfLqHg5kWmObcxynwHKyyNqVT0w8X+EqtLHsXb8QpWqmgMHBYQur2DfOvLBEycxV+OdJJxtp6X1v6FyrfepuT7E3hXi8y+dqscT6lowM8mEM+MRMZ6f4xzUTHuo3diVzwWiwJzpuedYUBJKZoxoym49D1B9pNooxRN+ylAg76eE9dMqhiUeQmPvGDMxwb3dYolPXStYTbrxB18ammMvFFGYEkIucpEbtoqqT+XjIVlPl0r+2MX5MrFAw9jFOxP6OAnKb1eRlL8Ga6MFH4qB/yncmcHBvvraDUeha+TOzs3XUMmlhM4fCxP7cxjltCPaWNWEL8xHnvtvWRpG4ivPUGQxTAMFaZ054VjkNyGizKWgwsbuX9kGF47qjDwHsWp1ERebXKgu0RFbMlXBNstIivMC8czNf+2SqASPfopA3DqVvZhdn9/0glUL8h6uMdOb/aJ6s1UiN5UUPew7R9xn6i+0Dc7TIGupxuP9SK9vRlF6V3bP9Znord+XLxuKlAtiuKA//C4AHzIrbLuduA+URQTf3xsGf/av/bV/7RVkyAIkUAUYCMIwpM/e8gUkP/f4/+bHn0CBUFwEARB1ZO2/4cTUPKzf5f+eN9/u19yh/shqYx1+1Mpa+wgQfTFIsUb08wx7PoqjrCIl5hfcB7Hi9NpaEoh6P6ZVA46zUfFO7F2iMI2ejVdimbCzfexwcaUCj0Fo1JE2rvhO49dxPq48ffMNKZOfJYSZ2uyL1/G2ySEp1vOMjF3HgbmVbgGDCeZNCanhP2rHE/PgyTHQ5SPKqG5WUZcliHNtSUkOWVzqnQvT/XP46bhAUy9tUywm41p8yA06jhcjLyZ6vwQUQ5zsfaJxbF/JSYNZ/o6xZJeSDAdz7nGe9ha3MVkWtBviaFK2UCJwwA2NXfwveHrjB/3Icm7jyG/OZBHW9wYbGrOue2PoN9k+m/lgDqg0kyga+Bs7JOcecxtHIdSNuJ+8xgRYQG0tMZzpZ8tZ0a/TkmamsT8ZOROOoywo1zsx6HynewteheHKg1Naht2Kibho15AVy5klR5D5qfPGwZhvOuzga5rRZhazEVQl7JR+QgpdWf/bZVApd0Ynoly46z6Wl+nWCKRSCSS3vqSW4Mn/83PK9ke5FYlGz+rZBsChAMv/pf9bJWA8f/H3n2HR1mlDx//nplJ7733HkiBJBAIoffeUcBCUVRUFPuuq6xrXaxYUFBRARFEpCNFqSGUhFRI7733ZDLJzPP+Afpz93UVEzSKz+e67gsy4WROTiYk53nu+z5cvZlk9qNoBuZe7yR7em1nM5AphHi1h+NvGCHE3UKIBCFEQk1NTV9P5y9v7eEsxmlPckb/QfINFjHTsw5j/Qqss4qxaFFz3/QQWhLMSXp2K3b+rjR5LaX4uODEoR0MXDIce88IPrNWEpEhsf6dbkZlTeOOU9Mxyq4mucCJ4IMbaK7PZszUkbQ5GpNyOo5x48MoTDEn9eNN2Ex3p2ZAMdWOU9F056Nu3EhT/Zs0map5230m7dolRFROoz5ehdfgJi771HMlaDwjdupjV9rAMZtEsvMv4G7shrXDQPaZpLPN8Axxlv056DkVZ0PXvl5iWS88NiGAo8oRDNOsw6w1kJwId7bZzmW6poW7DTfy0hxPVCW5nPsuC11tM9GTJnDw0NeU+BQg7mji9gYdiUGClStV3PKUip0jw6iszcW8shKdsS36id+QdEspDgsncmFPNn/reJvnQ824eGANHtXdDJgwHvvKfeirvDG0uAs986Vkdrug79jG6YhBSJOX0nbgDEqj4RhZVzHL7SsWhlWRU/sR7ib7qE22oCJ54f/XJdDP7DOWd35AfXN+Xy+xTCaTyW5Sv1dNlCRJp+Bnz+z4IZNNkqRzwPeZbBO4lsl2rQTo+0y2//74J68diRH9X8dkvC5JUs71rkePNlGSJI0FvIFNPRn/I2WA24/edr322P96/KfmskGSpEhJkiLt7Ox6OR1Zb0U2H+VlvQ9xVdRSoafE3zCLaIdcCoOOsDPlRTxC5tLf724qNEpSdh7mXv+xLLDey9n4lyityMBjUSA+WYIVByVsWqBDUYO7sxtLLkcxOf99sk3S2fLls7iNG4AuJJltBscx8ZhEiOFCruS4YGVkw8Hmu2ijiu72oxgILTYGLpSk2uEaV0CZqp72SD8KS76jxfFOtmXPpqrUhXbvh8gsssMjshCVyybM7ftzVj+HVoUahCCjMZw0nRuWDqF9vcSyXpg5wIWXZofgbGnIGvUqjukv4zH7djzKDRlauQxfu0G8eeIhvErOMHTGCFq6Clld60C1aiUzJ/zrajpgTTNOXd0ISaJfQT4WDQrOG7jxSdFx1nbfi0vUNkriM3EptCJCs5rGsgbSnZIoXN4EbV0cDEnAJ+dzDNR1CGGKUbcKIymdl3iKmRalnNJ9hoN7HAUXJXwyGhne1EJOZC0dUwbiWqJgrGUkBsoBFLflsL/0fXYU/puCUjWuV+qwILivl7hPCSFeFEI8IYSw6eu5yGQymew3c6My2dqFEGuFEAeFEN99H9c7iZ+tiRJCmEuS1Hzt9th/k4DM632i/2EvcL8Q4guu3nprkiSpQghxGHjxR7fgxiOf/fGn8JT+lxw3UfGGtS0Bl5XYqFVEecTTZDGZD9MjURtfYeHqueitPUB62RlcWvrjOnENw1btJ7H1AvPevIeFJ6HROpI87+loDUzQ2CdBeCvTtrWiHjqK0pwgCi+VYRD+IJe2XebLzmRG3zISg13naDhZwLM+pqSrT+Nu4scAm7GkGJQxT2NOt/HTXLaUCA//kIZOGxzKlTxT/SkD9UzJc/OnLG8nbbPu5JVMFav1v8PaPhdPr2QMDNqI6jShoCCcVL0gufXXn9zMAS7MHHD1/9TC2hySl3xDtoMtC+fO5dWEUgbUV9B1VxR2wyP5evNr3OaRx5TJ99JxJZe9erHQCB+37sBF1PJ8lDXZnbmkdS1jfu7HTI8JZFrYAo6u3E9xdxuLx45hWXwRMY1jmBv5EMmf7CM3QLBLJLLwRAI2zVBha4zC+VEup7nTYpyJe2AjLiOGod7TjYvZIl7LMySgahBe0jAOla4ndsxIgovTSPcaRZfmHCpJTb/mcZRpOigxqaS+qxtrvevtGXTTuQD4AG8At/+eTywBku4vULfQm9qkXtRE9e5omZ59XXpVEyV6XinUw3K1PyVdL15Quh6+KKTevJh6UwDWm7qmP0pN1I0748lWCJHwo7c3SJK04UZ98F9hK7Cdq/VX9wB3ANed1vZLP2k/v/aBE7n6v9B/r56pEGKjJEl/+6nBQohtXG0SYSuEKOVqnqIegCRJ7wMHuVoUlsvVwrAl195XL4T4F3Dx2od67vsmE7I/tgSTdo5UWfLMlyBUgST7RhBfdBIfVSKrOyspjsuhNvAQDvP7c7DqNEdTz7NpzByqxlZiW9xE/p4LdBlGkO4VSVfnLuhoQXIWvGH1AJGx+bx790Kq/vESFQeOM/npOzE1/AdpuQXYLzlO3qU08ls3sdDv7zQau2PtMJCv9BOxD4yjWW1MUelA+h1LxXqoPsecD+BVn4Z1YAuvtVzmmbB5tLZ7UlrvxMiEnRg7Z1AToGS94lVqscXWsJa5AduwI6Ovl1h2g6i7tFze8xTxnlksmPk31Lp2kpv3sNnpDQ5PHEbCvuM45njhKEIZEOvP2k9nofH7J3uuxLJXMwxT2vHVlJOMD091FmGTMp4Jt4wlLfkDypt3EBE9iVZtNaZm31I0ZS5GDRJXijSsMq7nuSDrHzoERuWGMrokHkeXczxa/hI2rY8RqxzJdwVriJo9gaNGRkjhDxB98jtcuoLoMnD7jy6BHUoNnXX5aPQ6eWfeHPxqm1jg9Ne8EXPttHmZTCaT3WjfH/x7Y9RKkhTZi/E/l8k28r8eP/EzH8dGkqSPhBCrJEk6CZwUQlz8mX//H372EoAkSVOv/eklSZL3tT9/CMARmPUz42+VJMlJkiQ9SZJcJUn6SJKk969toLiWy7hSkiQfSZJCJElK+NHYjyVJ8r0WvU0blP1O4qosWfIN2DWDfmctASYGDDadTl4leE6YQfihYK6s2Y13cBB1ykVEnNlF2rGPGLtiFrUuWk5qXiPTM5Qu9XHQtQDQkK1HaEoqc5UbMaaQQaOnkOaYTk72CRQjZzNgpyt1n+7Fb6IBh7xC2dFQh8W1dLwO0cm3RqN4zngl5lWONDo9QkZGF4YDLdlhbo+x5URWrTfARKg5Zb8f044EHrF4i0o/Iz5WrKBW2INQUCvs+Vixgipfo75dYNkNIwQcK+5HbNgUQofNJmPLeWIrzrNjaBvK1lLyv0oiszab8BmDeftCMf3Iwsq5na5+FugMlbRgzCWDAKJV5XTVN6FvIGHm6875o1ewHNJKv+V3U7CnkNjCTJ50s+fzC/+mX8EJBrQas6a2/mpKoE7HlCQFWp0r/cxbkFwL8ZsVSdPnb+PU6Y+VbxB36L3Iy/7xbNLbQ7PrN5gXCbaOEFjWJxBz7hkC8r8lV92Fu+oga6QnmWj616kNFUL4CyG+/f4sQiFEqBDi6V8aJ5PJZLI/tb3A7dfOm43mWiYbcBgYL4SwupbNNv7aY//L9x1eK4QQU4QQA4Cfyr77Sb+UzucoSVLl/3q/JElaIcTo630y2c1v0inph1S8TgNrLPRKqY/di2lJCIP638430Xp0VeVSdCSBF4eFsyn9Mqe2ZuHnM5yIOb7MTPVnaddnuJv4EWY9ijq9Tgy6BaG1X3LYSE3XOy8y/rH3aU9Q81JjLR8MmMP+YIn8pFLm3vIg1afjuZh4Bk99zQ/peI3NsdyVlovKpZOu7FRqkvNQD1/F2Z2pLBniRMIAIwJqjDAJb6DIKJ1L5v04rjcHjTD8j89NIwzZpTeH5/pobWU3loFKyepVT+BqZUTGwSSq0xMZ6D8XX99pbNs2jxZdGSOnPYBW2cKuhkwks3XM6f6KT5yWoHF2BMBG04jz8Q9wrfZlzLOvcTx3O284zeNO/4cZUqClKTWFqKB5tCnccWo+RcbyIPbl3sKLrRuY0lZOrp4e673PMUL6jv3ty1lUtZNx/o/ynM23+JjaEFY6htbUEGzHD2WUci2moxZQcOwUecESHwjBwhMS1o15+Oqbc85zAMZJehjH+vTxyv6uNgKPAR8ASJKUKoT4HHi+T2f1JyBEz9KoetXivI9SAXs6tjfpfIo+alOu7OHXtTe0vfjiaHvxouju4VhJ1/P59qpNeV+lAt5Iv9M0fsdMtueFEBbAI1w9H8ocePh65/lL6XwH+eUDpw5cx7+R/UV0G0b+RyqeWmnK8dapWFVVkZiSyPAHJ3DmHYnTle8yi+cZ1+8pEs5Xsn/jUWY9t5zR8cdwN3IlynYSCoWKNLcdaO0UjL50C52XlZRbR1CbV4PO9mHsd2wjRVgTNMEVXbwtHZeqecelkH1db2NsPhw//3MolVomi6Pk2agptjAgVr2MTq0DA5rVfM1jWDTMosJER2tGPkf9nuRyQQfbC7XsDLD9yc+vTsjNS24mbtbG1LSUkfvhv2g3HkzAHZPZXlBEWbY5/ceaEzxjEYff3c4tzl8wfNJyThzqYGnAB+xU3EottpiU1DLWqoL8CQbom1pTcfgEf3cX3Br1EudWvkCZ1puIqVE8X5BNbesqHh04nRepRJcp8bhiO96aWuY41XKgZTbDOjyxKO5HdqMzd2uLcRy9mMvfxDFeOYTjnQ6kNdzNItPZ5DYc5fZ6LW8F6RHXT0lYfi32DUeZpHsM0djFutJaoixMGW7do+P9/myMJUm6IP7zF/vuvpqMTCaT3cx6s4n8NSRJuvUX3i8BK//H+z4GPv6l5xBCKAE/SZL2A03AqF87z1/axocJIZr/K1p+HIDDr31S2c0r0yPkh1Q8cz1bVDoNIQdPMcn4I47uW4lOX8JjnjWfOYzhrjOFBI2Yj02AEhdhR1l8LuumBBNqPYJCVS079M9SZmzB2qZFvGIBLt6z8TBooeFIGsu8vImx+5LDac8TOCKGdLfzxDe8gP2wsbjEOeHlmcw55RBWspHbDbaT1jCQcZ+6o3Y9TGvglxhIe/jc0Zk1FacYNGA6RobeDGtRcPfljXQMnoZlZ9tPfn6OKu3vvKKy31rGV+9wLOIKDndbIAy0lBe8wp6wWQQuWE/KNwkoMioJL7qTII9JtFUHYpel5RX1o2yR5qGx0uM549doqJvJ4Q2fElg4nkk2T9CZHc8um6NYBySiNFfg0/4e3uP0CTRSYOXUwc6gKQxVvIt/52csavuIZIvp5JefQRWs4t2aDu5SrKfOdCZppa0U27VTrEzl2yETsS+6SEBpIRca5/zQJTDFS5AcLCgriSOtOYGPios5U1vR18v6e6kVQvhw7fqoEGIu8Jf55GUymex3Jd2g+AOQJEkL/Oxm7Zf87J0oSZKUAEKILcAp4LQkSXJlvewntai76OhOwt3Ej1CrETTod1NkcgX7wnpy853oXzqUc68dZuJzt2ObdoLbC++jyPYRpj5wF59tf4h49QnuNlpDuX47mc4HCfK+RJc+mMc1YWV6ihqzR7EJjyJFeh/LamNMPe9k9NsFVNqdx3+EB3fmT+DlVit8gx/kO8Nv+Kh8CSK7AwNNObWNk0j3U9LRlkdxgCtfavx5uqGB9r2F1D2jplT3JXOsmzlo+y3tRkFMu2DE9tghaMT/fYsYCh1P+3n34QrLfguHiSXU0ZXxMUtJfvcoZlp93hsGZsomstd/SKmND3Pnx7AhvZSoLl/OVHdTU+ONUtnF3SGbaO92I6jWltJWQ5ocKwkJceGhDaeYaWHJ1KVPkLUrFZMWZ2ZMH8FXWW8yX6+Rj5zuRePsiAZA6mbqxn9j3xGAS1gYQQXP4Td6GC0p2wkqKcRn4XDaKl9mipUTu9XtFEelckj/5f/oEnilYyDfqqK5bNHB2u5lDDR/CfDv45X9XawENgCBQogyoABY3LdTkslkMtmfRJwQ4h2uduj74eq5JEmXrmfw9SaUfsTVJhLrhBD5QoidQohVv3qqsptaTnXrD6l4JnoWNBtVcW5wFekjggnURNERZIdRi4aq+By2TPThVJcBKWv3o21vJGj8ND4tnMqa3YnkuxzBJ+AshoZtmCnacAk8gfasA40lBwiYFshhp+GszNZj3JDlZHt6c+F8HC6edxKTkkzL1+twnRLM1opbEVfasdC08Inei2DegbWUhX2JK3rdY+g6XIAUcispPpHQ1UGapx/7TOwpKLWj/koR83We3FerwVKlRACuBnq8FujJHMfrrjeU/Un86/ZJLF++kuLvUki4dBr/hn6EhU0h66t/cSDwDP4zDVGaqMis3oBzpzGxXYGY6gzRduvRkjSIiOqhXPQ4gH7LNqYsjqUofwfn3F2IG/UODS22JFw8SkCTJ8a2XlgnpRLZmcRy1mMrVYOkY2jzRc6FpZMybCcdRY1YX9Yyz8CJ07rD7JiQiLWdG40XR6Onu5sJxVdY6elEp685e4hlmGYdXp2fs6EonLCsoxgYmJJ8bgYKMaivl/V3IUlS/rVzC+2AQEmShkmSVNjH0/pzUIieRW+InofUixBC6lEoehFKoet5IPU4ekor6XocvaFD9DyknsUNu5vyK0Poeh70Jm6km+hO1DXhQD/gOeC1a/Hq9Q6+rsNEJEk6LoQ4BURxNWfwHqA/8Navna3s5jXQzRIT65EUqmpJUOXTQTOnikZyR/EOPO2jCFy5iK92vENO5fPcNvAVlgY9wbHCEg5/vIcpT6/gMe0zlJdtwbGfGeeUQ9jG7TRgjY1tDY+bn6a+uxtNfTc22tHMOvc3ahzvJ3ZkCGVZjUjpRazyy+DtijgiXOai3g8zOc3fDT7nKXNDBmrfw1DxOE167Sw2rUNn8jRO+k/grteAIteNOKe5pJfpeKF+Ag0tDmQOzcKpvYIrMS+jUOj19dLKfkMKhUBqreXrPQ/gUT+C8H/MJq4+g7eKApjiasyI8UtI+uQMfopCUpsURFmPwlfn9MP4dZYaItQGuC6OwcjTn8vrj/I354PMH/gWx599DGVrf3xmT+arqrNs1F/FgwX7ifY/RYzyDBKwtexWlqiNqTN3p/jIKYYqpoF5JMHF3cwInkDcwa/wb1TR7uLG40ce4s5+/bHSr6FBWKDKaUGou7kcWUBNUBFjxBxGdozl9QYNxi1lPOv7c2cM/vkJISy5eh6UJ6D6vjZKkqQH+3BaMplMdtMR0u9XE/V7kSTpV9dB/dh13YkSQnwLxAELgCwgSpKkwN48sewmJATl+m1kOB8kKPpzhsRsZ7XxG9QaX+R07VYMjZWETPTl5Y47ufdADr6z5tHP05punZa8xMtMmj0L93PuJBgM4EPupUGyJjA+Galc4tPYUAY4BFN4JINXIixINS9g8+G1+IyLptR/D0ntb6A3ciW37/ZF/dYxZmpO8rLeh9iIRuafMWbwNxF4Gn6IzdBt2Fhms6Hbld0pF3HtH0thRxv3dObyj+IX6Bg2lhxtHf4hLVR41NDW1d7Xqyr7HXx5PB4z93L0Vhlg4WxJ8em1KKJ0RN/xN4ovFJN18QShlRMo1zpwsfYIbV1NSJJEpa6M2vA4/un2d/wn/JNvP9mDY5k5I6wfp6qwnO+sz1IXcwY7LytML3/I4oHH8S0bT17WUNRqE5AgyTmKVW5PY5Q3kbTyViodO9jblssK62ep8LmDihJLyk3NaO/cj2aULR5OzczW7ETlpEQzwpHOcS78Xcphurk5rcWHOKfdS33DGdracvp6WX8PB7m6gUrj6nmG34dMJpPJZD9LCOEghPhICHHo2tvBQohl1zv+etP5UgENV+8+hQL9hRDygTmyHxy+XMkLb7z+H6l4QoCjYxkBHSqMupZy+ONvCAxYxG3NV4gtvJ30rH2KFisAACAASURBVO1E3DWbun4nebd5Fwrr/gSOeZIdLKa7Qov+qUpW6N5nZvVqsvVMOO1SzRWX9+nSq2OCeixelyZRXdCIJnwGD5bcTnWbA1WD53OxupYn9Xdw3FTFZFdn9gdGkuLqS57Q8rrmMR6v6sc9xSPwjg+itX8LCv9NTPEp5WP7Atod8gkzciK3+xbeZDWXO5R9vbSy34Gh20Ca3N9n9PBnufjJXgwyInlMG4S3gYILG1eja7Mg4LapGAsnyiU39pdvZUfhvynqLGdQyRUeLThPQ90V1EfTKNdpcR4Xwj3JLXi3RLB46jMU7DuLafpIpijvwFljQlD5ZDLOLSQ+bgEPGL7DC61JVHUfI6TwMhHRoXiUv80DoV+jVWXT/9JWhgfq0XTxIms6t6JsOIZjnpqlug+upgR263ijcQXfdg9DpZ2ItedMZjdt4A699L5e1t+DoSRJqyVJ2iRJ0qffR19PSiaTyW5Kvcmr/XH8cXzC1XOknK+9nQ08dL2Dr2sTJUnSw5IkDQdmA3XAJqDxV01TdlMzbq/AqutNHL0ucE45hAdZz+LWbdzV8hG5Q2MwNcnCqEHQcLmYJ2aPoDXFnuI1F1GZGKIKvY/i05Z8s3sbIbfF0FhhzNyMA5yV7sdYWcLY3QH8/fA3HHSyY632Ie481Un/O/5Jh3k1mfv3M9BmEk/mvYdF3KuETnEn2m4ol0w6OFxlydMb4LaDFwg1sUHRMBaX9Gxcj+5HTF9Kjn4jduY6XrdYxXaLgczab4RbYQf1NiYE1jfzVbgPURYmfb20st/B9HAXHr51Cm2XEki8UICiUU3EuNEc272ZlOBcTG9XY+pgiE/ubvRV3hha3IWB5QPQWodb8jhcTuWTfuwZLnjsZeDt3uTknMbO6jQF0+7AWN+RkycuomiswymyH6n1J/DstuUWTQxTO2KwiVuIS1k4db4JfLe0FlNjexoTPRnaNQ3Flc1sWFJDx4B+OGQPx1F9D22pdbRXBfzQJfAp1XNcjIrGQlHD0Atv0N+gkYyEyeiJsbRpb/pukpuFEHcJIZyEENbfR19P6ncjFD2PHj+n6HH06ncuRc9DKKQehYKex1+JTup5aCVFj6PHNVG9KM77PqWtJ9GreipJ6nHcUDdfTZStJEk7uFY9JklSN3DdPzivN53vfiHEdiAJmMHV/uuTfv1cZTer2IgwLDXRP6Ti1Ql7PHLzefnyI5xvG0TDGAV5vvv4pOY9tDZ+jByxhhpTJZc+3c0CjxhWWB8kKePf5NVcYW7uQV5WbsRVUcvU1naKvQdgolIyKOUyk5saeShjGabaKwyOGEe5QRcumhbMApv5JPMoNl6uJLte4kylBUu+AbtmMO/U0KzXQoVFN3NatuJj/QmSZTJD7cLpLvGiPd2CtEQT9ByWU1rrSZN3HPXKPcRYmaHsxcGSsj+ZzhbWxT2Oe1U8o26dRGlTKo81etNtvJIZ4/9G3paTqNQJBGZ9joG6DoGKSikQkZVIYj+IK/Bn2IDpeAXFULazipF5pTzp1489R1/Cp6ScgaNHkllxiOKOUi7WHqKtqwlbnRnBanteM6hD1ziaud738+3OLURUeuDpH8mBK17MF+MpTSqguTIZrY8Nj4g5RHb7UV/ty8ULszEs0OcFsycxEKU8sqyVCj2J6Z1hfKoxZPSFTKQ/yiGNvw0NsBaI5/9S+RL6dEYymUwm+7NoE0LYcG1rJ4SI5uqZUdfluhpLAIbA60DitV2aTPaDpvYuTA1VzFz6HlEZyVdT8XIqse+s4JxGzbQdR/jwjmU8GtTBpm+6UDUd5bE7JtJR1k5a93mcy4Jxnv40E+76iMzqizxm+wXHzVS8ZWVLpUpJjNEJZquX4CRSGDHOg4ffVVL10euMvPstutLf43i1mnCXO7H77CyV32TiM1SJ32ZotI4kx3cOXXpmGNl8ixSbC9ugudacFr0s6p196Sy/wmv6CQRUJRDvvYK60uMYTnbiWJc1Q7VaTJRyOt9fxVdpDcSoK1HeG4lF/0C+2fIPFvg0smDAKmoTMok7G0fhMFhwJIGY6v/7Pb3RxACD8f4kKyNZOXoWKV+epbE4hSivGdSqjZHq95Ewx5uRYwdy8vPHMVKFU9wWT3Hb1dMiJCGhWDiYT9rncZeTHwnF5XQ46KGWUtgSNA2fEFec3ztAs9EALM0SCOtXi3OhH7EEkqDKp6bCF8r9GNeVwQOKNs60VJDccBnXTjtGK5zpkoLQv3kvBjwC+EqSVNvXE5HJZLKb3c3WWAJYDewFfIQQcVzt9Dr3egdfb3e+6273J/vrWbfnDI75W1h+/3M0VhoxN+MAjyu246hfy8nSSDINIxlyIp85L9yH3pE7uZB9jpQiE1zvGMzh7CM8kp3JZ2NnUzmxAv2sDJJMO3jO1pouSeBbDhdd6gns2k+zpyGBZrYsaJ/GlWZ36FRxyuR+Ei7o2DMnijLvPOpTT9Jv/lM0GuaSFbCQblrRtu6koyWSN6qmEuN4hbsLy2nO8cNqRjbtumNoFDHclt/Jc8am9Gsew9eGIexRN/J8b1JeZH86MX72HGg/wKwID05u241Lfhg+ZvYEmTjy6oHpBFaH49q/iU0TLZh7Cmyaoc4cyqMnYpzTxcsxpuh3V1K3cz2STRQ+s0ZwX8J5pOYVPDh+CmmHT+JXMBJN0R7SvUbRpTkHuhZMLYKIbbjEjKwEDjkNxzNrD2Hz/07cpT08b1tAlM0TpJZtJDRmEkmnnZmiSyStqZ7Ia10C1Zou1Hoq7lVGYtE6nWX1Bjg7TqM59wsmuoC+4qZ+HecCcvcXmUwm+z3cZJsoSZIuCSFGAAFczdnMkiSp63rHX++dKJnsf5puW8L6rLOYbPg789pceFG5EWOhASDG8wpS3UisjbuoLCwiZO4KDO9qJy/nIsHvxKKpvJvI/etJ09QSs+RWvl3XzNs2lkRkSNxxTEe14wz0Ogs5NLWSwwVPUdJWzT/uXUXNa29Tue8Mt08Yyv0twxFJC4gdNZqKlFps8+tJ9JmBpjsfXcdpRrnfQmFTBtNSy4miAGn4bErP7sbHbgb3lk7iZfMq1r59FIdHjdhplMUMyYv7hvRDr7dnosj+VBwtDFk23I/i7ERKj+XTZa7l1imTWXsyAx+zfLpWhhGdYIRwaOT5uy2pVCkZWmzDwFwJT40BEQ9O5tSWhzk4JI35k+ZSVVZBv84NtE4cRpCjI1+8cxodlQR1XiKkAPK8Z6PWt8JdZKCfOYCu8xuwtN9BwmIdwd6+iE/K8QgYg2n7YbLGNRI8cjje29XoOd7JCW0mUu0RQq2GYawyp0mVSfngIJwzSrHd9y6OvktJyovFzDGUxKY2Im7e2r42IFkIcRzo/P7BPmlxLknQyzNzflc9vDsp9eauZi/G9qoWvYdjVYqe1xQqenFAz0192eO/aHvx2ep6+qLozUagF2Nvwrs4f3pCCEPgPmAYV7+6p4UQ70uSpL6e8X+l71XZbyRw9AJmlEXRkD6AR3VfcNxUxXhXZ0LdXZnsaUm7y3FqwuNZW7Qbe4dBWExbgkrZRu7O73g8JAwrxxRO7H+fzrpyvGZb4JsFsy9EcDn0X5TYGaHx6sf0/T4sK9tETOEClBZV2AdHcVERR6SVmgPmzhzafxinAX7keu4ip/Ed2qnEWZQw2fU2Ei2TqfOrYY50lPNuZzH3VTDGYR42jf3xPJ1BbaEZiUOeIa3dHJ+BR9BIhzBXyWl8f0Wabh2HzvyNFt1XjLl1AK3qYna0V7HB4i1GjHyNlzXzGdXazZHSclIKSwgtrcSuXhBnqMeFhnTW1EbgYXUPsf2mUb09AbvE/tztNp396e/gmrWX2CEBbBkuYVmfQMy5Zxh06RXyOuqoStvH+onuvF27EHvXl7hyKh0qC/EI8ubxwmC6mpdiWOfOpcLdSEE6jP6rS+CZtuO8rnuQBXVJvHBbF9meeng1qIgzN2fKpRwKOzp/+ZP/c9oNvACcRW5xLpPJZL+dXjTV+P+abPxxfMbVw3bfBt659vfN1ztY3kTJeiWxqJ7WDhj0zNu4GDaSZNrOGltrKvRUPHDAkluORPKSQwNZHU6ojzdxfv9mIu8YjrFHABe6N9HReoWhYX/HrWkxxz8+R1DQDCalRJLnt5BOQ2scjf1p8FSSHxmFS1kDreftyPtoC47THCkMUbOrPpHbTBdi0XI3VaWddIQNYbV6Cs7KaqJsx2OiMsfFqZKkAQaUWMxi3lYDHIprOWp7lrzieD6we48ZzWvRNz5Pdf5ujljfwiZdWF8vq6yPlDa001Joi/+UobjHjid+SwJL+JT3ptmiKMxgt/4InuxaTqnOFkkC4dvB+SHn+MoimsLj6/CJKGLaooVkf32B1PwEPM3c6Ta1QXXhFLnzq3BYMJW8AIkPJgtqzMGktYzAknJSvIqJCmyibYQdMUMG0XrsCs1Gflh4NnPZ1xrzmbNp/monpnqxGDsZ4/ujLoGGVqtxYBoFZxdTV6XgvSpDjKqdSWjLIEj6iIfFu9iqbs67qj9uay63OJfJZLLf2M3Xna+/JEnLJEk6fi3u4upG6rrI6XyyHtPpJL767C1CzS4wf8U2gmZPZWXpdiIyJBae6KbdPJRKF2PmJQWxPzSeFfYKTp9qxS8wEN+FPryZOZod8fXsnjKDnKPv4NCmT0NSCTVO09B059PdeoZCqRXTYSou2oURvPsuAg3LSMrrYKGRC8erbyU7IZcpixaijH+e3CPNOC27jajdHxBqMYhCVS0JqnyyWoI5lBGCZWsFel4PoC5xxD32FG1SGnsMg0goSuPFgIdRlSrJsvRFc3P+vim7Dt52pkTf9haRnlac33kS44JWoo2X4+04jBcOTMTQ51H2ZMSyV3P1zv9ATQ5Jwpc5ygKMMgexVN8dX4WODUefxL0hmohbZ7G+6Ag7lCt5cHAEBafTub2+m7eC9Inrp8SwUwLO4qfxZEieC6t8i6gp3UuuYiuxUUs5952GNcqtjLJcwwsGXzLUuh91GV7XugRCnvd01Ppm2DTX4dmlx8Peo/ncaikvJJ3BQ9+f4rQCvIztMFbeXNfLhBA7JEmaL4RI4yd+JEuSFNoH0/pr6MVLSerNy7APsggVvbhkrvyDXW7/LWl78cXpcUoeoOvp8+p6/pyiNxm7vemUenN3We1Ll4QQ0ZIknQMQQgzmV3R4vbl+ssp+V0LA1AhBXmo13677N37jBvyQipcd/By5XlNwtQnDwtuOsGLwH/M8EbnTOLc+EXe3CBw1YTyYvorCcxuYdt8SctzSOFyyhjaqcBYlTHVexAKPx9DW30JJvDP5RmW4zx1MuLkNjaeLWevSxWLl01QXb2TwwIk06JkwkE7m2G2h3KCd03qZtCrU2NU18XzVuwxVfIZGv4ia/K9It1nBo9WPM7p2AI984UyblZbtBsdZaaHi3wFufb20sj40zM+WqtZi6j/dSVG7Gv95MbxysYB+VU0sct6GFGyMzlCJhCDBIAg360Y8StpR19cSMXE4mw99iyKwHOMnnNG2dWCZsZnbIs8zJ9SZ4s9PcqFxLk/VNOPU1U2nPlgJHRMvWxFZOpxRIfdSeyYRjwGtuA0fj12aFXYF91OU38FE+xoiJo1AJJVyYBg/pARGJr/FlZYiKuoO4BpRxsjoZi4o9qLnmIR/QTjOTGZrZSM1muuulf0zWHXtz6nAtJ8ImUwmk91oN9+dqAjgrBCiUAhRyNXjMqKEEGlCiNRfGixvomQ9JoQgbOxjhOqmkXtFRcGlNCanRl1LxbNBKI3JRkVqiJJM3xWEBo1GFeuHi8qYwkNJbBztwUmhz6V1u1B0NxMwyoenNHfhrKy6moqnZ4FW6BhX5sRDis3YuLyLbYQ7VZ5dnG5fz4D+riSXOFKx4QQGo93RRe2iru0Lip2nkKDKwdo+l+joHYwe/gktbkm871CKkZ0VQY6T8K2xZHryIRptwkgMWUCbsYLw6K/Q6c729bLK+li3Vkf+rmc51P8kwYscUevayW35gmc8XmKQJpnlzpswH66gc7wTNsO0RCpexbckjuHTR9LcmcPzHU6cNXmRmMjVJH22B+f06cy2uY+MSx+Qo93FPv1YTjQu5uNiDckFpWxI66KlPZpvGkvINW3hKc0YvnX9nNp8fS4XfoNtiDn/rLLi/Y7n0BrP5EJRCsMcG9k0EWrMwbitAvcWMy56mzCveT/LOzNo7FdLZ5gTtZVJNFu38VhWKd/VNff10t4wkiRVXPvrfZIkFf04uFokLJPJZLIb7CasiZoIeAEjroXXtce+v0D3s+RNlKxHJEni3aMZlDfoCH3kNgJtPEk9eo5qx6louvNRN25E3fA6HRV7ybwczazCr0k5sp6J995KqWsFx7rfoEPZzlL/1dSZTOXg5sMEBi3j1qI4Qi0HU6iq5XP9M+xx2sIh690UiIGM3OVL3WcHCZ5gwhaXsexq7GS28wPkK6YiqQX7Te9nSdZQ5rjcgrF9FjUBSh7Uf4/FfMmx7gX87VMHdFIKFx334aqL41bLDViLvZhpz6AuSeEpvQ/5sDW4r5dW1seUCsHXNVGM8FvAoCGzyN1ynoiCDLZHtpOfH0a0Np63uJetzGN4zTeMV3eQO6UE2+GRHP/yMPc6fMSz84KpP3WSy/lNqFWtGPi7cuxoAR4DtWj8LNhDLMM06/Du3MJq2/54F33FJQ9L6tI/Iib0PMtG2lL/4RuYixDsgj1xsDhEv2kutO97F/cGUwa0GjPBoZHn74Yn7+wi3mM7k0086E6dz+G6YYRX+OPQOZwijTF2phm8Iq1ikml1Xy/tb2HcTzwmHwQvk8lksl907cJbM2AB2HwfP7oo97PkmihZjxTXt2MZv5Iz+TrmLz1A2Ug3sgw3YZQ1lO72Y0A3vpZRtHbWMeridkpDC5A+2YK/z1iiZoUx5Vw0x/cW8tnsBfgmvYey1ZDO3HJWTfYm54t2zuhlohVaWgIEcR3hjEzMI89nErmpBUy7dTX6R4+SlbyP8TMX4/LqBppPptIvKJAZqX+nzedBKnyN+EyxBE2nHhbniyl3HMqFsEA6TUoxDEknzbSWNKU/Xjl5TA58AHWbgtvdvAgzN+7rpZX1MSEE/3rwHiyM9cjcn0BRWjxhflPx8Z3CgS8ukwN4eiVjYNBGkYUvj1qOY1ZFNokHTuGU546bKhTvWE+eSVhJZJ0DY596lbM5m3nHYw4r/O7HqiOfeixQ5bQg1N0s1btC/CwrmjwdKD/TzijHLkJ8G1jpd4YYJyhNG0h0RRojnSPZaHkKRZSWE7pbeLF1A1PayrlkYIDCWaIovxkT/XYOmZiS4vE4W88dIbihhdKiCGrLozCK9e3rpb1hhBD3cvWOk/d/pVyYAXF9M6s/mZ4WCvVVm/Le6OGlb0Uv8o6UvWhxruyDddL14nPtTU1UX7Q471V5UV+1OJdron4TQoh/AXcCefzfV1cCRl/PeHkTJesRDxsTjof5Yr+ujJzunUTdPYs1hyUmqD/G3cSPUKsRZBlV0emdjk+KAxVJLUj6U9n/4WGm/3MFt7V/jk/DM2Rlv8CQ5bey/cx9ZFcmctfwV9imWou1fS6eXsns75xAVEIq5qa1tFtoGGQSRWdSOa+6ZfNR2aeUKMOxCR7EBXUaD/n58u/LV6iu3Mpuo3l0V2gxyK5nu/IRTlcMQRIOmNdZcJDHKcpq47Pieqrz28laVEVhRQIPuAxDX1+/r5dW9gdgYaxHc2slqZufRpJiCFoynV0leYRqnLlQ3UVNjTcAEwNOou6+gqc6mIIvE2gy0rDwsXt5Lr6ckVRicN8o9K0cKdqRxAtup5kdvhbNya/41GkJGmdH0Gh5/dzjlHh5sCx5Pw6V7gTGTuTtM9ksM+gictKdJHyYTYhiMXWxkSxsKMUuagmRdaPQZUo8rthOuLqWYo0zJ7sjyLHQYwBvExASzkfNZ/EwN2Ri8RQ89KbwQlE1Qy1NGW9r0cere0N8DhwCXgKe/NHjLZIk1ffNlGQymewmd/Pt5eYDPpIkaXoyWE7nk/XY4thXqPGeSEZSDo35NbwZGoa7sRvWDgPZZ5JOjtUlNtjM5YOgCdiYDMTVX4Wd0pbS89k8OT2a8kxbSp87h5GtKZrQuWxMjeXjhEKMHTKpCVDyhOGr7Nafi6fNXvKlRPS9a7jsfpzEtpcxGjmb2CNuaN48gtU4U1oiUriiyyO8PIyIV+tpqDBhbsYBzkr3s90Q0lWJuFn3w97ck/GtGlZlvU1H7DQuWzvi7lmLUVgGHercvl5S2R/IuT1bSQnPwfI+I1SGOmqyX6apOp2hGj9MdYYgQVNmJP3LR1JsvoN63dcMnexOl6KVs+pLPOG4gaBhz3Bo42cEFccwweEfdGTG45jbwVLdB9hK1aCnoCjWnwWmW/BMNaVYYYbZQHM2Km152uNjKipsSSi6QotbO5sbK5iv/w5VTouwcupgZ9AUhirexavzcx5oWURYbhxYt2J0uYUx7V1M7b5CZLAH5zK/pM74IrvLi0hpKO/rZb0hJElqkiSpUJKkW/+rJkreQMlkMpnseqUDlj0dLG+iZL9abnUrz364kyINDF8eg7mjDydObiHAxRpz+/6c1c+hVaGmucUOs8wOVjc+jJFHPRPuW0KRzyG2aj6m2cyJ8VHPUmpiwblte5nrO4On2j9Gd3EGVX5GfKxYQa2wRzI04AhTmXhiFLSY4jE8jNXd95DUYodR2D0ktlphZerA+zUP8ux5B/pHPkiSZyxzcw7ysnIjLoo65ifBvO+GYie20hLwBXPsL1DpcJFGwzi89NupbAlhjXiZg60Ofb20sj+QdPNYHO3/zsTYVeRuOo5Rmh0lHaXUV11iWlt/lqlHM7M1lG9VFag1PriN9qb/rNtJ/iKJua27+Hx4J83Z8dRfVlOkrcM4zJkHTzfTXh2EXZaWV9SPskWayzr1fVgU5FJqtIf+I7u4nJzK/Tavs25EC5nfvIpvlYbAqMEEtr7OgiGptFQcZz6bUTkp0YxwpHOCCwzOZePoZCJtavEtnUJV92i+aVyEWjedVsVQ9F1CeLnrLhab5fX1sspkMpnsz+jmPGz3JSBJCHFYCLH3+7jewXI6n+xXK69rJKTuUQ7tCeSe5fsprDvJh1hSmHYe9Mt/SMUzMGgjtsmAw/FGDMpsorujCceRi3l/bxOi5jhPL5lMa0kLhdUlBDQ1YDlyBKZPt/Pe03PortCin12B6NSRK4aR65yOsrQDT9dbmb79ZUTl13hNno/5l2qk5E5WdpUzrPBlXOd9gPfRJubovuC4mYq3rGwxMQ5k5BV/7A2KOOMUSb2xG8oMaxTqKiwdo9Gr12P9SA+GW5n19dLK/kBWTxsEDKL82HnOJ1/E09WdfD1bitviKG7LAECnVGFyixWbWxawZeJwMs9k0pmeS5jvHfjOm8w7m8ai1DUyefG7FOTsINvDgiXlLv+REtgplLjqMnDpn0zgmLkkrzuFvdEkvEL82WJxBsN5XgzW6aNJsmDy0HCyG94h0rIIYbieHdIiarU23F5ahrexhpT8bOprOyl0DGFb0Axm1yUx8MoxDMavIC51HgP6R/XhispuNKHoRfGMomfXUKVe1ET15qyn3pwxpVD0sCaqF7/tKXp1oFDPKXp8bVx7Q+dxvXS9+ML2+IypPqqJ6t3YP8jO4w8yjRvoU+AVIA1+fSGjfCdK9qsN93egyTQaj12BZG0/zZCxd1FX4o3z3mcwdsj4IRVvsdjJKsu38LQIp8Y6hG837WGi1zieVB6jo+RxUsvO4DR/EDVRF/ioaCcjQ1bQEriAhnIT9C43oers5i2DtQwQGdRZuOBs54/ILGJuUCH7246i8zSl2KOJI1VbWDbYgpdVXewpP4lt+CCSTNtZY2tNhZ6KQus83PXbaNAM4HxeKIcuORCjnoa2OIg8r0TKFPuZYWeGjb58TUH2X9rq+PTIg7jUNBK1aBqBhanoGY4CxdUNd4B5NJYFejybsAUX406K3nyTErUKrzlDWZ9eiF6xJSHTxmDh05/MfY2sqt9Bc3Xaf6QESu5aXnVaytetD1OcXE9R4SkCPd1Ym64hot6dpaEruLhnF8OrhmHvNIj2THMq8iN/6BL4vOIJnu9ezgemM9DWjaLLdgj9WtbzpOsHnHBMZd3MQsya9LmlcwTP13bwRFZJHy+qTCaTyf6Ubr5zotolSVonSdJxSZJOfh/XO1jeRMl+Fa1OAqUei2e9SbmLFaVxyVCvZeswGy7qKqn0MfwhFc+kqB5lrpp/R9+Pk4OKRprISU4ndM4yYk4EUfKv87j4eZBidDcZhztIzi8g/NYQDHKamMFp4vQfIN6glMCOzWgM86kO2kdC+7tYDr6X2w6E0P7hWbxi1ZzytyXRxIn74/vj9GE9hoOVvGVjRUSGxMa3utn6ahdmBpYIpTXDa3fy74qnaYsaSIEmF6dQiSv2Gtq1f6zvatkfw+fn8vC3KUXvIVMs3B3RVycQUpCAhcFsDC0fprajDt8UT5zPZ5G//012B5zFY4IafUsDKmre5uP+d+Ez41+c2nwEqzItw60f+I+UwCXqkQRqM7jP+VOCy45Q+f6/UUi+eI0ZRiYJ/DPkSUzMAskr0aPApIVT3Zn8y20FPuUTycsailptgjV1mA/VYqTfRv+UL4i2yqP4giVWxRHMLEnnOTNbzmcdI757H1Lzt+irs/p6WWUymUwm+yM4LYR4SQgxRAgx8Pu43sHyJkr2q2w6lcPrLz9Jt6HExEVTKfGo5HDcizgFDGCO0Tx26c+9mop3spLxOSdZ1ng/3kVHeW9IP5pCk1lb/y3mtgMwH7ecDhooOHSWv/kNZLrZ+xw7tRLPyDCmdZ1mpOUW7nA3wjjfFOeK+whVJnJGGcmjOQto1HlRFD6SxLJcjFwXk5gWzrb4brQT7iFNqcbC2BTfTJh9IYK0sBc5PuIdss07cBrwNcHSOZ6zr0FyrCXKOJhsxXLe091BHDGV2QAAIABJREFUi07eRMn+fz5ePpQG7iB66HPEf7qLrSMElvUJxJx7hhGnH8as0QTTy9/x8QwbXshxIdJ2JBNmrKRkxwWcM5rY4NNKR1s+mn0nqJH0cZ0YjtIghuK2HPaXvs+Jim3YF0zB6pAz7iZ2bA4+jxhTTEV+CePrt/JpQCrHc78kJOMgo4f5Y5b9MY/7bMS5y5Sg8slknFtIYUo0y0u+YEplJ2vurKd8eDAxlTH0t5/A6qql7DF+jM72aKw9ZzCxfju3qOQGKjKZTCb7dQQ3ZU3UACAaeBF47Vq8er2D5U2U7FfpTzZ1ui/Z8fnDuI0Iwy5Sy8OaibydWk7U/U//kIqnUGtJE44YJLhw994Wihos0fmuRDrRzPk9nxC5ZBg2buGcr9yDg0k3uMwlanc/ir+KY5DVV7xkZ06FnopjA63oNsyjvSUE35ILrC17AcsLa4ma4E24zVAcCjt5RXWARQUL8I0xYrjdEFTZxkxKjSTPbyGdegZoWnehQME/zJ/nimY2D2xW4VOhI8uynREtjZwcFIiTgdzaXPb/G+xtw6oZMXRmJpB2sZy8AIkPJgtqzEGh68KxfDufj6giwsmQ7gEQcuc/qEivIzn+W/pVDiU4cCb5+9ZwNOw7Ape6k5OTiAkOqIzHgcKM2s4yKopP06BxY49Vf+arHFgw+R5ajlzGPmUhjrYLUOVt4fDSRiR3b1oTAunfcAupdcfx7LblFk0M0bXj8c9eQlGHCy9UGKJXouBc6RdUOBSTMjgMO58uouKeI0S/iYKkiegrRlOn6e7rpZX9WYmeh9SL6M3zCiH1KBRC1+NQ0psQPY6+oJNEj0NLz6Nbp+hR9OaFeKM2Eb9606HrRdxIN1k6nyRJo34iruuMKJA3UbJfafDwyURWhKE9O5jMUxkMHPICc3NPYHNiFq2tWRjkNjOD05zRf5BTqqfoZ+aGxkrLHUkp3O4ZxWSHI5xJWEd1XT72s6w57mvD2uxEZo5+jDwPN9LPnuUzKyURGRLvvtvN+nWVBCrt6bI3I82olhpvwdaLR3EO8OWS62HOV76NYZQ/h/INqK4rItO9kqNl+6lxmoamO5/O5k+JtY3GpFkFce0UtQ6mLmg1Oc3O6AWeoll5gAATw75eVtkfmNSt4YPzT2Ff8//Yu+/wqMr04ePfM5M+6b33ThJIISEJLQFCL9JB0QUrimLB+tu1ra69rw0VFUEE6b1DgBDSe0Iq6b3XmZQ57x9gFnfddzVRA3o+13VfuXIyZzjnzpCZ55z7uZ/j3N4yQIqPwAMPaLDsaQ3uX6eBuVYIpqVRbOgxIdTEjNgv7kfWYYjHilnEtpWwpSKQsa5LGOU5kbpdlVjWHEBLwxUdo7vRMXkUpWIFpg7dJI3x5tCEt6kpEUkqSEVmqiSuV+RY/SLGWT9K4pFjONTIcPPxo7y7kqTGI3T1teEwYIb2gBb/cI7mIc2HUKXWoWO0COOeLN5VPIKNeIlH1g1QpqEkRunNZypNpiVfRrxRJipLJBKJRDICBEGwEgThC0EQjlz73lcQhDt/7v7SIErys1W2dKMaEJn02GcYKJqoOZ6Cda/IPbPdaUzRJvH5L5jbe47JxltY46jFGBcH/hGahb2lM+buOTTXZ+Mc/RwRWTNI/ygVv4CpVDVNwG7fZjq6K5kyNxK1hTlu+QILE4Mp8H2R2En/JFNuT+/YdFzNHYgyWk5YyVIqEysxGmvDW4rxWFjNZ3zpdLrOCziHtVLqXUYXdfR3n0COilRFOfW6rbzc/Q7v6L1An0UjVVVHqHDyZ4+WOwPSh0nJ/8eZohZGNSkxWe1FYssinm5ox6avH0EUCakSMa/wpL+8lcgZ8zl5bA/FzoWwpApLDwtqk16hdZwpISseI3tvOtVXEjkSkIxb4bdoK5tAFNFVNoHYzF/73+C1YAMS9j2PY4Oa4JgYaqs+IHV8GP4h42nL6KFCy4Re03K0NYMGSwJ3lL5OovgOs92PMEGviKrqL3DX2Ud1ujnNGYswKerg+5Y+aivaOd9+EnflpyyQn6FPet1LJBKJ5Of6Y7Y4/wo4Bthe+74AePjn7iwNoiQ/20dbd/H9O6swNVcTcsstXPY8xt7UV3EPvA1/xzVUdWsTavyvUjzXGmgRZbzt+j25Pjrcn1OFv9dUBsI9Me7to/Z8Pl8EGlBikMLWXc/hNj2MvlEJzMwMvlqKp2PGQN8V1DJjdjbcybGyxWiFLKDFuo/chGMY2T+AUWw1yfl1dIT4UlR5jm6bpWwqvZ0BVRyOCg9m2t2Fg2M1LlFnKFDA3dYyPNxciDKaQ6vecnJkwciH07JX8ocX7mpO7/QdBM18gwNaEzjbehubyntJv1KBs6oXj8os9mk70DVQxQO1prSzmkVzXiV/+2mEbA+eEq0wF1so2/sGuj1GFHnL2B2agmfus0yOXYdh1UZ8ukfTWRBIe72SbONLXF5Zhp5CH43MCl6UXaKw4SjUfEloqIrLF+PwLftxl8CBgTBG5VexMCWehIh6WuaOwaPKiImm43i8ay4PmXyMdqUcW4totPPrmdDdgdYQW1z/EQiCMEMQhHxBEIoEQXjq//O4RYIgiIIghPyc5xXV4i+OESMIIxDcVKWAckEccvyZDKckTy3KhhyiKAwpBDUjEojikEMYRvyq/iDlfIIg/NCO2VwUxR1cK3wURbGfX9Dv/8/7Lir5xZY415NYl8WBT/+O47QAGt1D+EdmADsyShn3+Aq8bUax2fRfpXjrD/vz4PH5OBV1cr7SgoVJn5J9/GNi7l5ElX0rpytew8bNlSnNkRglRVGeWYNh2DrqbebR21+CsnUjzvJKnNRZBF+s5OOB9fTlvs2E8InoGLjj1tDOBrNNaJc9xpgITwLMp+JXr8eDFbtx0LXH1CqIA4psjsssWNf/LoIqijc/08dUJmeXVjJ/0ennUJDnSKdVcoPT1ZKzIsyJtqZ8VO5G7GMC43vfx1O1mXE6fRye0kVimDdndu5jpcM25q2aykBFHbGnEzGqkxMWNYuUvV+REJaP8WP2PNTcPFgSeMdjcuqtx5NYl4kt3/JYVjcGrZNYGvI4ybv2EVgxh3CPh9E8f5S26a3oRY7HINUFLWXKYJdAbcO1BAz4Epw3nW16AYTXBOAhRnK6fD9KhxI6/WSMCu9Fq/RjnA2vYHhlEkbMILa5Y6RTOyIEQZADHwIzAV9ghSAIvj/xOANgPZDw+x6hRCKRSH5jide+dgmCYMa1oZ0gCOOAtp/7JNIgSvKzucfcw8z6aEozrbmSdpn5PvfweOdHlJ6eS5dWD5ZLAnHLF7j3sIhFO7Tr6mFkqWBFaQSheTuoM60mbtsmZKo2PKcZ8XfF7fwjvYbQde8g06+lbO9xplkEDpbiIXaiMjSiYlQprspDbOuyIGHnaQxCnWj23UlT91dkuExCtr8dC2MDEm2OkFK7lTC/RgwsR3FRq5BOmZK+BgP8LqaQr1QQP/ZxCtUGjA7bw4B4Go3hLFYp+dNQ9g0Qf/IZTGy76BtlhFpHTh8aPNz1FrvsNhDRlINZvi0TS2YRbh7AxqOP4Fp5haA50ZR05vFkmz/oP8rkwFUEdujyfGMzNn39qDRETJtP4Kx5GHfBCE3dY2RMX4alljm5ed0UDZRRZKzmr22zKbP8mPrsLmorL7J1EoNdAgOzPiGj/jSVeV9zIiaCd/0eZSAuHhtCUWma8XflU9zRncLGxSqKHeVYNiuJM9BlWUYxhV3KkU7tSAgFikRRLBFFsRf4Dpj/E4/7O1cXYfxTJkkikUj+wx/kThQMdmF5FNgPuAmCEAdsBh78uU/ymw6i/lfJhCAI7wiCkH4tCgRBaL3uZwPX/Wz/b3mckv/taHYNbV1y/J95Am8DA4qOpuKpkGM2eQZjDniR+9Ju3EZ7sTIWWk1DiBv3IhVOC+kxMaVgXjXLigaY5/4oWqzm6NdncR91NxOKCwk4fS9Guo2MnTCTHItcCgriGVBdwFHhwRz7+3Aw1SXHz5SqiGDC0+3p67uLrk5t0hxv4a66KaywWkGX2QYKi/tRBGuz30ifbod5ZGnVYGpZRGjYTmaGfMarRi9zq9lWxN4jtF45yKf6f+MLlf9Ip1Vyk1D1q8kudWFh3y40bOT0TrJGNd2OlimumBg1Mz2xkfy6PIIXRPBNdh3uqizqVndgPWEM6Ue2EONzltuXT6Vk7wVeF5YR1dnP8cpqLlRUIURfIcyxhozuexhfmsMLjkZsz/gI3/xjTJ8STGve21iFNrIwxpfWb3cyoBXwoy6Buj2NmPf6Ej9Gk7Vmm3jB+yLb2E2f6R50SrSpS19NXLkDz9aYoN/oSoayCl/1Jp4W3sBB+095EcEOuH7F4cpr2wZdWyfEQRTFQ7/ngUkkEsmN7A80J8pCEIRHgcnAHuB14AjwGTD15z6Jxv9+yNBcVzIxjatvUkmCIOwXRTH3h8eIovjIdY9/kKv92n/QI4rimN/q+CQ/X5eqn+wdT9NqWcGiew9TMdmbBN1PaLqsZkXQA+wOMkKzsYLq81n06QST7RJCn2o39HRQa6DDVsMVaE/s53D0EorOv4tptylicSN/jzbn1S1t8PnrTL7nVXpSv+bN5iLm6DpcLcXTzKajt5sL+RMYVVeEj2UQhvJsKo/1Yj9lCrcmvUnprOXoGBVTlVhMx9gNnNidy23jrdGzPECDl5x/yt6jRTRhrPH/YdBcxd32QdiJ3qSbeeCgqz3SqZXcJIx0Nblt7Uuc3r2ONV6fslO2gkbMMRMbWFnzd1R9WoQvvBdNAw121F6iQ+d1vomZRcbRM5jlj2G2aMSocBNeO7+SnaHvwWV4QrYdW7GRyDZt3um5l/FtTdibLEVm4I9FyRpS/2JKSFAA5ZviWGzVhINLPt9aHmKiey+rmgd430eTuFFyvCo7sG/YhLZlJMpUBfZTwwnRfhvF1IU0x6YTYuHCBrkDPRYv82bSSdzk1pRmNmCu7Yq2/Dd7C7hpCYIgA94G/vIzHnsPcA+ADnq/7YH95AEM4zroEOeCisP4J8XhjNmHsa8wxE9tsmFcMh/OvKiRKBFS/+q9sH+egWH8YtVD3Xc4L8RhDACEkUmx5KfJAX3+8y/LL/pD/lu+gw6WTAAIgvBDyUTuf3n8CuC53/B4JEOk0NbANcSAti/7SFZ/yNi1d/PiCSV2B7MI1Ckhev10Ln52grMl/6TTOYA+5Rng6jo0qiolZqm1rNN7l4qsTqavvZNvjq6ntOI8S6NfZ25bMgWtNvQ0dNFt+ghau/ZgaOnPRa1CBgQ1AjJW1RzDwGwfco0YvA2XkNGWzwqrXvaaHyWhsZMZQfeSXVhEaHc/e/sfx6xxEcc9dPlatpreAS1kDUo8CvxYkGBI6uJKLinLeMIqCGNj45FNrOSm4mNjyME6HyzI4zWXDWhrd3GqfRq6NZ7IR9fjt/h2zm46wBzj7wmathiLgTbO7s9DLW9h0cMP8O7pDFwdajCx7WKnMJu9hRMRlAOIOiJPVRylTMeTwNkhbK66THLbfdw9YRKJB07iXmmJZ+REjsXFMtemk6AZS3h2ky5Ps4VPTPXJt5PTYq1mfZoCC62xXOqzI6v5DhboLSKz8ShCgBJPs+NYunpzPO8IYyyDGVUaw4CfBZ9UNLHAyvjPtk5aFeBw3ff217b9wADwA84KVwca1sB+QRDmiaKYfP0TiaK4EdgIYCiY3hjXVyUSieS38sf5K1cjiuKLw32S3/KCx/8smfiBIAhOgAtw+rrNOoIgJAuCcEkQhAW/3WFKfo6ZU15Cx3geealNNJbW8aJXCJGKjRz8/i4MLcyxn6/ga6sJ9PSlDpbiRbncR7TTXdxXk8Opel3y3jiJhp6I3tiJvFi+iM8zGnFddx8uOr3UH07jXld3Zph+S6ZW1WAp3vgJ3+A59gydqeZoJ5aiM9WagXGHaVQnoN8Wgt8H9Yj+BnT4fIdCPMYOWwuerT/DHs1F9NcMoH2ujttzdlEr+JPuNYViE2O8wk7Q15c60imV3GREUSSg15bmeneSEhdy4fwqtHUG+Mp7OUL/nRQlFKFKKcCvcAVjvZaz7cLT6NbtJXyqF6JmM5uUA3xp+D6L+n9cEjjWt5Rc+7OoTLZjaGeIUc272E3pZ5yXM43nKsntVSIfpcPzAx68abWZ5hZH9mpNGuwSmHGlgk8LtSjpsOS7znJKtXLYN3YetlWZuNe2YmxqTXjleW7rLsHApQENH2sqq+PoMG7gheJqLvz5GkwkAR6CILgIgqAFLOdqTTwAoii2iaJoLoqisyiKzsAl4D8GUBKJRPKn8mvNh7oxBmK/Si37jdJYYjmwUxTF69sKOomiGAKsBN4VBMHtp3YUBOGea4Ot5IaGht/jWP9Uunv7eXnnRSo7BILujsLJxodLRw8S6GiOueliXNJiuPjRYQKDl2HQbI/jdV3xzloc5nTE92g6jia8PIIqxRhObztCtNcqnqz9AuP4+Vj4mKDt70Ga8Sb6OzMRPO5AzzIPD89LyLV7eVL5Fom64XgYBVBtNgeFoMFG1ZOsS/cg0nctGY6L6WkXOWM7hzdUrsxuDuWOr61oqVagmdOGTV8DkcbfYql/DJOBDAaq1KwXPmdbp/tIp1ZykxEEgbb6bCJ6PdBX64AIJgUiz1WkIqu9RNEbr3GlW8RtQThHKpsRspqRL1DgtmQxsdviuVfnU96bbYpVYQ9r1J9iLtaDKKIuFplqqomVswUNBzKRpdlxlyKM1Pwv6WjfytgINUX5l7jD8Sv+L6qP8i0voePOYJdAV9W3PN8YjW9VBR02xgRUf8lGs0/YrRvLSf8TWA8Yo315EWfaozCuC8a4N4oqtTVmBmWsEj/nlZIKbM6kE3Ixh121zSOd5t/ctRa267i6NkgesEMUxRxBEF4UBGHeyB6dRCKRSH4HU36NJ/kty/n+V8nE9ZYDD1y/QRTFqmtfSwRBOMvV+VLF/77j9eUUISEhN8b49g/kcm0Howru5WyLNbfesY/y2kQOKxppKDzPmhUvsyXpNdQVrbRfruG76a7E5voNluLp6sBnTXfgql3Nw67jGSVT0tzQg0ZTCw6TfWl5vZIC+Vf43BLN2xkzOHq5h2/G3skp+TQuycP5jlXYZZaiGjAjN6iJwIRelIl1TNdRMznv/zBb/Bq2x4rpSTNA9JxEXWwSepGriM05jVZRO3M5z+NaO3iz1RiP1hRcbV6mWyknwM2eCaYGI51ayU2oqqcSoQ7mmkxCT8MQZWU3Gc1nkBtfZp9JJXN97DBxNCP90vN85foI30wL5vK5bAzz+wjqvQO3mLHsrYvHgsu85rIBQbuXdR4f80XrvUwqbudC5mHcjazx9g1h54cbUUzowH72LWR8GIeTgS8hPvY8an+JW22UfMFqxCIlgrIfhU8aW+ybifAwoDU5Auvx4cRUrkfmZkZK8lEMOuQcNtAmzu1Bvk88hl9tA3vr5rLNMIL+3qvnVqnqY0P+1eKBRdamI5jl354oioeBw/+27dn/8tjJv8cx3TSGs67ecKaiDGf61xD3kw1jEotshOYYjYSBYVyPVw/jF6se6tym4XxSHM6cqGH9uzfGx9sbpCnEsImi+KtcMfwtB1GDJRNcHTwt5+pdpR8RBMEbMAHir9tmAnSLoqgSBMEciORq5wzJ7yzIwZhLDv64bZJTpnWWCcuX8Mw3iYTEf4TyLgvmr/sLu469Q+nlBFbNeZNMrWpMLYtwdklHrq3izpRedGUnSDOKYtWcv5F75XG+L2/g7sBH2GttSEJSE7cttsaocwzzsv5Oh/0zJOkE8kX1aihSMk19liLTRA4K63Gw76Ws7TTPRE5lTU0DM1pO4+0/kfzuCtYZ19Kv8xQ2Bq9jK69kbm8Vk423cKepPsuO2GMw4E3auIP0aemw3n4OMpk0oV7yy8m0IynvOkl5V97gtjYnM1KMbmGBdhazlz5C/t5kjJob+MI/B2+TYC58tI0yhQlL58/iteRqwvvduVDfT0ODK3p6rTxt8z5NdV7YVhUg9kTgtHwqZxqTeUl3GYu8Hycgp5PW8nQCoybyZqaSZV1yulRpCLaww/ZWmrotiUmWo21iTHN2MS6dTuDozIaza1k0bhQa6XmY2+oSpn4XH29XPu9KxMJMxkE9a/rl8h+dX49a5JWSmj/8IEoikUgkQ/AHGUT9Wn6zcr5fUDKxHPhOFH80zPYBkgVByADOAK9e39VP8jsSBO6a8iYlLn4UXUqnvxG+GaNHviyb7e8/iaGTGU4TXfh7+wqeOlmEntXVUjwdnS40hX4CfU5hcMkeryQdLN0dyLZYzYGzFlwqa8BzYQCBVn6Unsrno1AFCfolbD76Ot/WrkTI7UamHOATJnHLXhfu3ZfLeacWiv1bSdSG1fHeOL9bhhAhQzt4M5a27XyitGZP9kVc/KIJNd7JKxaG1GhqcH60J1VGJtQ7ZaEe3UB3b+v/Pm+J5CcosEJDbxrIrt7JlMmNcfVQoRHYx+jVz9JQ0kHCiSOMKgsnMmgt+cff4ZzVcbwm9KFlrENu1z5sVXpM6PNGX61Dd5cxrYWh+He6kOuXTWXgEdwj3GiJ+5KVvgd4MMKSms8+pUPtjENMKOeo5H73dym5MoZxA/G8x1pu093MwybPkGNqSXf9ZIrlGijFMzRPdsDNpouAtJ2MseiiN00ksEWfZT05THNxpk7rp//8V6l6f8eMSiQSiUTyn26GZZJ+08vxP6dkQhTF539iv4uAtIjPCIstaODCsZ2sWb6UacsncjHpNGfOfcSspU8ya+9U8uo9id8bR+jS+7nzzEuYNW7GydeAS/JwtnMbTaIZpopm1nucpLNaRe7+E6ybNIGiuHGkXviae287wt7yt+hRbMfV9HVmNUbQeMUb5SiR+ZznCa0d2IiNfO/8COJAN0llHjQqo6hoNuSeCfeTlnSGufp63Fb/KrNbjLk7P4L2Ilva13SzuUSD4DyRlWf7EdXx9IYsZ3tlNButVxLWo814nZHOruRmZFV7gEqHFWgY+QBgrC5Eq1rFiuwKxk43Y+uLc5C3T8Dl7igu97fyaYaCKc7eTF3xEElbLxGpkURmaztjzaJwV9sMPu99tl3Mqg9m7rL7Kb6QgmFuJNO0ndCrymCX/Ukm2qqoqRzPsr4P8AtcQOx2HwoBZ5d0xmonoPDroiMXIrP3YX3rfBJTUnjJsBTNLj9eX1TKi16uBJ40pM3Lmx0tTcx1CMdMbKJJMP+PczTjjz8vSiKRSCS/3O9VznezLJN0ozSWkNyAxNZKzLpfYf+eu3CPCcckuIFntIL4sqCS8A1v4aTXQUduDf11Ldy1cCJCggVJWmP4vHo1HecGCDiZgNfpbN52m4CdbQDZVUnY6gzQ5jiV0dtcqDuSQOicSF7oWs+jlzoZfferdCuqmd8by2TjLaxx1CLQzYETLqeYYB3K2vZmXu47yyPFd+AarkOYsSsUKQgtrkLz6CHU8+7ksrwde0sRt3yBhYnBFPi+SFHIG/Sa2jIr34jwpNcZZ6Q/0qmV3KQO+yfjVvgt2somEEUaezsZKKnjnOYhDp0+RrXNZfrmFuAU5kbB+WcpGOOI5cq3qSrqpDwhDr+y+VQPWJHUeJyuvjZEUaREOwtL73iOecRg6xjAuT3JdDYU4zVxNM+dquEWQ22WLF5Lz/FiDBKW4Gh8y4+6BBYnTkJ+0Qaf9mY+vLWK7pgwLHJCMGu5j77sFt4RNKktLKW06jRXbLs5GDAdhbKYpXyDlqj80flpiUqWqDePUHYlvytBGFKIAkMPmTDkGM7KnjKZemghiEMOuaAeRghDjpGgFoUhx4AoG3KIojCkGE5XOYGhB2pxZOLX9Pt15xtcJkkUxV7gh2WS/psVwLZffD7DJA2iJP/V5GA/FB1jMDwazOUjqYye+BKReVloH1qFXKwm6C9LKfXfz+biDzF1nszocY+ztWbFYCneUp29OGt9gmZ5EZ87DZA1upFPSk6xbPzT5Lv6kxQbh5XpeG6rTeaWtDswMWphbMA0xl5XiudXKlJi3c8FqwuIjpfwG2vFZy0iJT0VlDr2cKEyjlec0rBTfIKeYy2RZqPprfVgZmYIxR4rUemY0QOUWZ2jxa+SNaflaMhG5o1GcvMr9hLZHZqCZ+6zRMWuY0zhJfK1ztDkp+aRGl1qhHtZuPB9Cg/G0Z3pxLPKJiZbWpD69sO0dRvjvCQKBVZUiw4crN7KjtLXaeuWM66gkjmJvRxJ+xrnvBR8RwXQLxRz0NyBz0Z/QkOTOam5sRgaDHCsVU37dV0CVUp9ZP0mXOqZyNxaP5SX22irSUPD2ZgN6vn83XEjPYVa9BlPxavzO563epV0s0xCVGncxceDXQI1RRV38TEhqrSRTrNEIpFI/tjMf+isfS3u+bef3xTLJEmz6yU/qbu3H11NDeb+5WP2vfIRVScTmRThy4NRZuz9QsXJl99mzpsfUMsS4k90YK2+yML7ZqJ6/fxgKV6jvB27szPwM2/hNbkLDWYLmXx+L41/8WP8FH+KC6q4EpfFg9McefOzfvq2fcTo+ev55szVUrxVp/vpMpqEqG4le3Ua+2yX4WcZzdKkVGRCJ7azG0nsvUyh80pk3x1EZl1PnqUavYo8Gm3m0ttfQn/HWRB7EM11KTDwxNPuV+lqKfmTuqNFzbs+GsSNkl/rlpSHvlrGXTXTCAj6iujou9FubefknjgcdWHivatIO7WTMx5ZhNiYY+JogGXNAaocr5YEiupOVM0XMWsbR091MmLKJc4tkPPgnW9z7rsdPGV2lIURL5Hw5nOYtjkRMGMmia3foddTCdd1Ccw3y+V2x/GUFprzaFwpTZr+hNhV491XyhSH0Rh+/gkuY0NJSjZHru3IzN79xBHCOK8LRMovcIQ5KNFm3EA85VcmjHSaJRKJRHKj+XXXeGq8tozRr+G/LZNUJQiCK3BaEIQsURT/o8P3cEmDKMmP7E2r4o1j+Shba1mscZbRs+5S79PVAAAgAElEQVRnwrx5HK7+hJ6kWmZE/5XA7a1UNLSRcew894XPJyg2hsS4Fsb57/5XKZ6pPnVySxZ7GTGmT8YDbWnE+M5nV8kBdh6v4L5bvyX14GoOyLJY6/ESMY0JVHQ5Y7zSGLd8gVuSgsnzm0c3ZWj2VyI/5USziz5n+1W4REyktTYNB+vbePfiVJ5XmOEk3kZjvjkm4bEgz6CLW+jvPom+hj5jzRfwen0X8eYBPCSmjHSKJTexxJaFPC1u4RNTfWo15Fj3D7Aizw43+TjcSvQIjQ7lo82r8CrVwfW+O+jV7eCuUmNWqGexZNEzXNmTxOGAZBYmiZQ7z0OlbUqdOAaXklNsvtUEjSurWRUdQkdhHdaXTbBzug+hR8FZ4wsYT6sjSnEPlokJDGgEUd4VP9glUM9Yl+cN99LV7Eth7Xl87APITJjEXOV5YowU3Lmkkft8/Bl32JL+cDvuTzXn2V5NLqPG0TWVGdoH6e/XorgwAu/q6SOcZcnPJQznrvpQ9x1GydhQO1IPd9+hHrJ8GJ8Y5TdZi/OBEWqhrR5G3/shtzhXD+eFOPRdh7fvyLfFGyxL/H38LsskDZc0iJIM2ptWxdO7s+jpG2CmLJcK+Tmqvmug59a36DZyZEN+GEq7BiZtuB29D46Sl5qAU5g/ptPuZ+Jjx8luOEGo/S5eMTdEKbtaKXps1CU86m/DwDIJV3dnRrWOQ5XgR11QDWLQ3Xx/sA0D7Womr1lJ34791BxNulaKtwK1XBtzsR1bW0eK23R4duB51EXgHPkmvbGmmLdbc1fhmzipTWn1s6Gm8himjvN4onQZD6rewVHhgb/pZM7oFnBPrSXTCg/Rrizi3/6vSSQ/W7LhNMRW2NS5A1uhiZx+MzJKw0lX5HP7hvvZfrkBp/pMKla5MPGWSE7t+YQprmWMjllET00XsWdOUxQpsFtIYeXZZMzbodkAdkabMcXUkjIXM6Iix3H+iS8pbSpmwZ1reCK9i/C2UURPe4CCw6fxqlmEuuwA2S5R9PVeQi724NQxm+qz7QTVH+V8RAP+4yKxO2yEjc5qdhQoeazWDiMre85UfMGoWxaTH+aJ7ck6hOpZJNV70SWo0EYTJ01fbFWaI51miUQikdyIfr+x3E2xTJI0iJIMeuNYPtMGYnlCawcmsiZOp42l3DCS7fvSePyRx7CIXUbNiVrkd5/EaKYbZ/rPkZN3mBeCF3NgvAqNumo2m8gHu+KZtUOLfj9xt33PPocHqc8r4s7b3+Tg6+9RsO8IC568E8P+hbSnVeCw+gxVl1yJazsOP5TidV6gRS6jI7gfLaUmJ5tdcLlwmcAgA7632oNreSnjPC9zeKCFO/1eRKPbgTqlP3Znj+Og64CpVRD7NTNx8DlFabsVzqVzaFYq/3ciJJL/4vHpXjy9u5f9veMBWGb8PjY6h7AMvQ0tfV0Opu+mQPEym2dO5UpCFjrpFky1M2D6xGC+ensFlnVerG9u4UUfk6slgdc8kTOVgUxt7p0/h8ri/TSVfIW/93gUVvp0lO1nx/j7WGbqycHUdIzMenBWpeJ/BYpdF9Ij70ZZl49dYxtv+s7AtyEAK83JnCz+Bz4zp7BRyxlTjxd4LSUHY/35aPXW8bHWq2S2xTDW9F9dAj910+QJV23+sesgXswZkfxKJBKJRCKKYr8gCD8skyQHNv2wTBKQLIriD23L/9sySZ8KgqDmau+H32yZJKmxhGRQSPuJwa544c72bJ0o4KTXy8r+JkYb6GAcGYT7Hkfy3voe/wnBpKpWon34LAUZsUQ9MAuljemPuuKdHv8SGX6P4X3IA6OsepwOPIeZpYrg4GiKjMppqCpiYFwoRgeMaD58BOvZmmT4QBd19HefAHUHyr428o2seN9hCW75PhixlvJ8JYZBvZwzbaPLchaLP+vHUqHgoMlxuuty2GTyCoaWflzUKqRb1sNxw2iOWEZwUasQQ6uAkU6z5Ca2INCOVxb6Y2esiwAYddpjGerBivsfJHP7RcY3nuLd8c24GsnI2BTLlZocQmZFcTi3El1ZGrWL8wns1OX5xmZs+voRRJGoQks6a3sxrazAydeb+MPn6Zpcjdtjt1F8NJ/oynjece7lcOomfIuTmTR+HFsnihg3JxN56Vk8S+NpUtpg3HmBpkhzWubMQ3X0ADpiOJa+Piwz+ZD7/XOIb/sac/k22rNNqU679T+6BI4y/ILVPZ9T32s20mmWSCQSyQ1oGE0yfxQ/hyiKh0VR9BRF0U0UxZevbXv2ugEUoig+L4riU/+230VRFP1FURx97esXv2YOrifdiZIMCjXZ/aNSvBzzGlJVjZj4pHI4R83ccU/zne/XdJZW0ZBVxntBfnyfv5YD36Sx/rkjeC40R3PDv0rxhJ44/MwcqNa9hQcLNrLPthSNbW8wYdGztGZt45PG87zgtZbdDhacPVvHoul/4WyKGc6qL3BUeDDaNApduT5fFysJ64yj2qAFd20NitMPUz52AzuOl7PEX0GyrzVCqw42Y4sRdfbyhZ0v5p3VmFoW4eySToHOrfRriZhaFpFZp4k040MyHAsC7VgQeLVJ0LmCUIKdTChLLacuPoFRDouIWLqMg0cfo6stGZ+o+ZjYmfJuzlkMhWd4a+YS3vj0bV7p3MjsrmpE4L3Gfuwb2kjwM8W44hRv6E0nxnYFy/udqD67F3/b5ZhaRyM/vIEzK4wJjgykuFHkU0Fg5VkR+6pzGDfFcnh2EA/2bGSCxWO8o96Or4kOfTX+6F1WEDremt2uFfR5T8Imth8HR38u0ky1KFBevRVR3YGWpQX2gFxtMaL5vamJN9c8mCEZzqSIEdpXNsTFbWTCyPw+Zb/nzJNfwcAwjndAHPq1/AH10PYdzlpHw3lJ/F5rLP2m/gjn8CuSBlGSQV+byAZL8Yy69ejSVrNl2lHOCg9idHwAV+NWoh6IJnH7OWLTNrLo9pcIs1hNcaoepzadJObRJSTYiIOleAZybfIdqhGM2mi7tJiFZUmUVXshm6tJme59KI+fJt+4CfswI/QLzFEXdvOeeQVN10rx9mlm0CWo0FRqMMV0E6UG1oRbv05ZUS32Kg3mdW7AdOBeFJrF1KTncGj2U6TVwrbKI1y0zKPBS87HsjdpxBwzeSOjvVKwIG+k0yz5A5noaUF7bzt5bzxNnfZYgpZMJKm1jdzEdhyi5ITe+wCXdsdyi2IzHjPn4yCq+N59FuJlkSdk27EVGjF07SLeKY/9Ni/gcXILd7mI3D3xJfJe/5AylQkukzzZWVvGpaZVLIkOI+PYGW5vHuA9H83BkkD5ALxYEI48XZdGP2/my0sxmr6crrRCpnTPZU+7B7KGKGxHzeVC5VbGhgfhXnyKfK+VaBj5oCWAU1M91b1yyvUKaevrx0hTenuQSCQSieS/kcr5JIOuL8U7H/EyGX5zmZYSglniCZbI3+T47hVYeLphEdXNR5ZBvJSaxfiVT6Jn2Y5eQz+tl2t/VIrX3tdIm3YTL2jcR6yFHs7r1mOj3U71/jg2uLoRY7iRMymPMX7hLWTYJ3Om6C1GR4ZhaDmKi1qFdMmUOAddwMQ+h7QqJ7xPyVF7KKj0+A4T9Wm+sdLlnZajhPrNxFY+Gv82BXOSd9PvPZtad102ye6lUbAEQUaTYMkm2b3UueuOdJolfzD5Bz9jr086ljENWLqYk57+LF/6LMd03k7qrrTSc/4y3umLifJczqa4pzGx7WKnz2wiZB/iotrKrran+MrmeaZVJOF4JZqZA3ej39bAduW3mCoO4zraEbHiDfqiTAkLDqEytpbE1kU83dA+WBLo3eJATVU22Y0ZbG1V83L3CyidHiepoJBCRSlZOtW8538Xhjlp2HXZIygc0VAm451/deHgHlU56qZSlMosPlo0i5NN7SOdVolEIpHcaH6/xXZvCtKlRsmgWVn/KsUT+2vxsnCn3t6SW9MSUS6YhssBMzIMTxJ05zqMP97JqMyH6Lb+gLkPrmXrsafILbuIWtWCo8KDgGvr15RUdrJO/jV2ikScR1+gzMOdFN1vmavpSa9uNGM2Q5tHEXbjdHmueTz2clsytWquleKl8a64njojS54c2Emp0zRc0SfBKYwMwZq55QHoxFbT9DeRbPkO7jCOIdFkCzoKF3bLFtEr6Pzo/HoFHXZrLuLFEcqv5I9pT6s3Y/VnsWDRExQdTKa/HP7pk06ETTjn7n2BIrUD02NGc66uE+PLxSwM3cnXNmvotbUGIAV7XGqK8CoSKNUrYtyEWdy/N54l+n0Er1pHc3wpYo4xD4ZYkVu6E3nlVvbZPQvXdQk8l61FtTCVLXauTFV+jO20MBSXj+JUp8R1rh89ne8z396Cb1rqMbavY1RNJF+Nh+XHk4msT6bUfhL5Npb4mB3gBTGRaYr3ANMRzatEIpFIbiC/YD7Tn4V0J0oyqM76alc8Zdtn9HZ8S7F2BmmTc0mOGcvCxa/Taq1DW24pQk0nn0+xIaGli6P/eBtdOwMsw8N5p3Iedrr2mFoFcUCRzRc6p0nQzMBat4f2DF3Stm3EfaEde+wm84+SGuZNeJrLju6cO3kWG+8ncEssIWXPdvSsrpbiPanzFiWVjjyZ9RW1QRqYqpNpuhhPU9t0Uo8rMR69mhSP6RiZ9FPiYUaCmSHHGs3IrLxCEz89r6NJkOZ7SH5dT62M4c7H3qSjqoPTB4/gXupOVMRDlJ7/noOWp7HxKcBpjDsXij/mWcu/YV2kZI36U8zFehDVmKvriGh7GYvaA0y7ZSwtHbmkGXbxjt/naDpO4cyBvXiX2xMyZgYtZ8/RPKMWHXfYxwTG975PuOoDNgcNEOe4C1t7sMhrZrW6i1j1MY77H8LSyZ6GxNEYKW8jpjOTwLHWXEm/wHjrVr6cAQ2GYNZSiHt9KwmGQXSluqKj7TLSaZX8HIJsGCEMKcRhxOBCM0MIUTb0EARxSCEbTjD0uNkMiLIhh1oUhhyiyJDiV7ub8otjiAc83JD8ZqRBlGRQF3XYChXMsb2Vpc5PECEGcuDKbAya0lGqmpj5l8UUueSwL/VFTDzDmK+/inrVGC7uOkW03194qPkwRtdK8TplSiy9s1D7FlHe5YKxOJeUOBXmRqOQ17vjf+gTtCxFgr0cMei1wL61iwdtT1HY88GPSvE8rJq4YJ7DUU0NzJzHUN8n42H9St7nfqyty7GTVaAs7mdX7Up2Frryl/xwHOKNMFV3/uQ5WmsM/OR2iWSoDHU0EdT9fL/9QSzq+3GfMZ4meRuPZMoJNPBl0X3PUXUiE4uiy7zvmUh3nQ8W+QO8ptzAFnEJcxp3E9mgTePkPiyjJ5O8PY+1PZv4KkKHrP0fImtUYBg0hkRlAS+I8yl02spKm22IvnqodeS0oM/dAyrUbtOYW3+J4IoFuNotxKOogXvdfclNOE9EkzM9Fq6837SWKpMnKWrSIbBTj+lWrbx0D3w4s5az3ieZ0RfOhJYQ3q1q4nhj20inViKRSCQ3Eqmc70ekQZRkkJ1GHWPNY1BoGiEIAkZqJ94rKaNJ6xw7vngEy2A3DIKt+L+m2XyQWk3wI+vxMtanvqCCvuYWpi2IHizFGxu6mxxzV3ZWzKDBXKTOUsUYMzdqzxXz8WhIUmTyXez7OMwdT7nPDvKqP0E96QFu2ebAbs1F9NcMoBVbS16CHgGxjqz9uomtbh3IRn+GrUM3b/VacLQpHQvHUFpb+ri7OY2llz+mafJSctBmjX4BmmLvj85PR1DzVw/XEcqu5I/sTHoBcs1U6hfm4xITSMrJf6Lr1Ybhimfo6Nbn0t59+ORPZmrQ4wT02tJc705S4kIunL+VBn07Hrd6EY2OteScSkevuIOglvvR0fPlYv0mCp2+w3++Pw0XNzEt4Bzroh0JUaVxl+2XGE6U0RFhx1LLj7GwqKClwphCMZ94zSbu0X6SJP+XKM6FHLGFJo0EUsZH4CqW43slizdky4nq7Od4ZTXzjFuYa9VCblU8cZ3xbKu4wsXGypFOq0QikUhuIL9ni/ObgTQnSgLAlvgSxhqFUarRSLJGCSqtVvS0lYxuGce4TF9qdaPJPJXOhKgneeD0OrTaLtDpcQiXFVM4Wvc3vizq5qHwh9Gz3D3YFa+py4QP+u7milYf2l6hFAlQOLCbRZ5vM/+dMXQm22Ew2Zwsxxm8VurDBVdfjo5eSku1gsWXD13tXqbVyEnTW8kzdKSlR5tnzF5hZa8R9yQFMVChSfPsYtTEs0Thxielccwwj8QtT027Ioy+nn7MNTVo6uvHTluTp11tWGQtzfOQ/Pp0Tawp1X+RNfNuoehCMgMpjqxx7GTezDHsfXYlfR1BWM4LoFjWS3t9NhFWQaRpltEpKAlpzGZGbyvdDf1UbUykwsiOoPljeSvrCoZNQcyJjqappBp5uh8x7iaYuhVTXRLCOK8LRMovUK7viK5nD525rbhcUeMybQnZxe+zMFAHL8uFDKTtxWT2ZPLyjvO+QRX5gifnI+I55r5xsEvgwo5GCpR+pGtOIN1Wxst99+Cn93/AqJFOrUQikUgkNyTpTpQEAMO6BKq1uzmveZlOmRJTq1L2egWz1bYOPedbsdVtpSG+AAtVHxGzArE4YUvWS1txCfYky2Q1qSfUXExOoc7jX6V4okKDnYaejNntCV0ifjH+/LV/PW9ldeNy+/N0KWrIP34cL72ZPJv3Ds3Zh/GM0GdJ4SFelX+GvayRTrmAh+lJAhS6zCzqwD+vmtrjybROWUk2IrY+FnxkupRY2/GEHJTjIVjTZ26DV6ect7wcSIsYRU3UGJIjRkkDKMlvZpyrGc/dvxpruZq4LQl0Vpcxfuoi4tMzKdaPpy30FKNmBZEd/zfKeypprktlbpcfa5RRjM1biZimidoog1P2p3Cf3As6An2dn3IsbCHek5Zybls8PdUlBIwP5r1TpbhXz6A4PwKlUoGDWI5+Tze9KoEd01IxigqmPsmSyCpnjEqP8f6iYvoWhqOZPg69xnV45pfyhJkmxjY917oE/hNn1be8XjeRwMuHMNdUkRa/EFGMGOm0Sn5LQ51LJWPIIQpDj+HMpxrqnCj5sEI95BgJasRhhGzIMTCMUCMMKYbj17oT84vv3Nwoc6Kkcr4fke5ESQCYPX0Wb6V+OLhAbae2DjYJdYSLhylWjCN66kJOtb5GfU4Vt4Y/QY23JjVNBZTGp/GE1yTSEzZw7sR37A7/x9VSvMJaBOUAZb1zyXWuR7zSgqP9PFZ9/w9CKs/hdMc3NLtM5kp5A3fM0eUdi1Ky0j7jpVVHcCx4mjMGGrxtao5JtQyVkwbLG1QYiI28aF1Ict1RbLzewqbcnc7u8ZQlFCF66qJhfA+VTQJVjqcw6O3kVtu1I51WyZ/Mdxf/hmXxFeyWLMPAVsGjyXmEq1bx6PI1VMRl0Z5ihI6GLeVd8ZR3/WvNskZTK+oUMcQYpDN18f1kb03CvqeH5ZN0yau6gHnqObRCI9EyV7JF346lvSqE6lkk13vTKShp1LHCojOb2WodCs5fwr/KAeeJ4/kgdjv3ynzpz2tEq64SnZjRPFJ+G+HONizlY76wWUuvrQ0AhWU1fOiaz6L+0QT2TGZTl0B9Tikfj3IeoWxKJBKJ5EbyRyrF+zVId6IkdCj7kOsaobC6fK0r3pusFz7Byqqa0opWZDUJeE4NJNNqLlvOmXE29wqR62OwsR1DQsZebA1k6I5aQ0hsOM3VChbnHeKi+gFKtVeyS/9ZtPXb8TD3pC2thOUTDDl3pZFL53cjn6JPfdhRCjsuMUGcycQzE6grKCXNoJtjdcY89yk8dNSXh3b50WR1mO4JmRT5j6MxSYGBqEO6WSvKilK+5W0mduyk1aKHipos+n31SNfrRi11pZH8jqpbe5ClFFC3pA2PuxZz6cAlFhh8xdiFftgYGHFsy3GsyvXwKctGUycKZAYAiDID3EM7SRszCoNl71Nf2kNG/El868Lw8Iim9fh7HJueiu2GKOIPJfGo/rtkNZ/Bud+c5b2R3KWagqdLG1/6LSOvx5TquGZSuhrocOjkK4fJfB/yLG0pbVxRW2FqdwWN0D6CA/quzqvi46tdAgcGeLoxh4d0O2mpzOVM8zZUHSeR9eQiSv+PJBKJRCL5D9KdqD85tVrkqbc/Jtq2mzoPXb6SrR5cX2m78zKeP62FqKFFSXIm97jPpTQpkqTDnxH88EkU0wSO92pTmneBp6IeYvPhf7Kk8BCvyD9DT+jlIz0j6Fez3PR7vvf05YoykeVjnyPy7UYqTuiy8I1R3HHoYXbFCmyf/Qi7U99hID6W+HoTVh8T0emHRP9RdMgb0M5R8YLRo7yvp4eL6laaCsE8+AK6epe44KRJupjFAw6hKDoUvGkwn4IeJQ+OcG4lfy42Rjo0jnubqf6OtBQ30X+hEj+zaUyZOI/vjz6NU1E7Fgtn0ZnyNf5XoNh1ISptUyz7y2mrLebJ0m+ZOX8Oex9eitgRhusDUznTnMuHzXOY4W6ASbcCgwwZ7qaryOjZA41HCDCZhJaGAu32TF7SuMhlpYhWSRuhEROpLUnnacs9TPV+mPSPPmW0mRN5yeE8MHCUMYpJXLhuXlUbhrzfeidOBqUE9fhh4W6PTeOHWFgEIAizRjq1kt+CbGhlTaIw9HIocTiXbYdRhSWXDe1CgIyhl9bJh1GzJB9mydnNRC0O4/U0xH0F9TDyO5xrSsPZV30DXMz6g5Xi/RqkO1F/cn1qNQvN4ziX/Q27NP7VFU/3WAXa55r5KjQSD3Mnsk9fwtdEC5nrfHxPh5P7z+OMnbCAopowrPZ9TGdNHjPvnMvj4nbO6GsQY2/LlTJDbONu5UKfIY0yCz7KnM6xKyoUc8ZhJbbSmtLI/TTzUuVqjOWXCfMOxLDDgtnnRVpNQ4gb9yIqAysmOMRg0eDP7Tm70Ci9SKuzFvnlcaRZrWS9+gG8mgNY988ujOwdideo5FVbI7aP8UQYxpu9RPJLCYLA+un+uFvpkPnWRvKaa/GYMob0ZiUa+efJXZCF611TOTwBjJuTibz0LJPPPUxjdz72V/Qp7qgmPfEcaXYZ9EzPwNbfntbEd7CIaGHOvHnkbIknqyYD23AHtDUCKe8q5GDlJ8TWfIdn6QL64t0JNZBxfm4VOndMR3VWB6O06ZhUNJM8qZLu28OwzbXDvmoNmXkaP5pX1SUoSA8NQ2WqSVDyh4zWLKIifTIaylk09vaPdGolEolEciOQ5kT9iDSI+pPT1pDjuvhlpuVOutoV71opXpLu7bytuIegxnMcslOTEpLCtpITzIt5hnoXazpKqugp72RLiCHZWpf59ounsfB2GizF++tGWBpvSaNZLw1NoVhWJPJSz2toX7qNkFkRNNlpcLHoNGsi7djWrsfOPV+iO9mLcs9v6NcJIcslhDbVbsTeeE5bnKHSfYBA3f1kDexgjJcn43QnYtA1Cv1ThZgYR5Ps91caTNVYBWwH9WXsdbRGOrWSP6nSi99wXvMA9s7VuIcGsKfoW97UegKvmD20F9Yw3upfi9wKYj+2rf3k9KYRYF/CmgI1Gsq5LJn7KoUHzyPPGsNdHQEYdZWRn/kubnTiFOyLb1nWYElgk6qKvNL91ArO/NNwLoLqAfTbbGgtTcfXxIa/llhgUTsNZ/kkcq4cBislL2oEY6vSw6d6FnmXVtKe58breo+yoKmJR+5RctlTQXSHO3F6FgRdzKatTxpISSQSiURyPWkQ9Sem6h/gXEEDDkauWKxe+qOueOd1ddE84c9t5clodOVzrGEZDTuP0NRUwew7F1LuVMfx5Fex9x7D7M5oxIq5ZJzOIa7WhNVHwaIdFN01+GqYIzqZUtaoT42HO+zpo6/0MhbjGzns3EWxjhVLa6ajzgrH1t2eM7ZTyXXyp095BtQddPS3oOlWQl14HZm1owj7pgN9ewsOGJwkbKCEzXqP4mBUQn/XVoTObD43XMupHsORTq3kT2xzKgQ4mzP3kWcoP5uNY9l5HgvMZYanDYmfnCCwS3dwkdvlT8j4OuowHr7n0FCNZ6rtPlyXxqAQtTlzMAmNug6Coyey/9h51GFV2D0ZRem5AjSUyfhfScZIeyE6xo+gqb0IP4Pj9I7VZszi6TTuPUq96P7/2Lvr6Kju9IH/7zsTnfjE3T2BKAkECe5epEiFGjXq3m27bbe03boLpYVCkVJcChQPFich7m4Tt5lkZu7vD/hR+e33t7tJ22zhvs55zslM8pm582ROMp97n8/nwSExgnKbJk6OXwHJGehkY3AY5sFUlx/Iart4bV2Vc+Noms9Nxqzdnu31rSgazTnWfAB3cTNLZHulpvcSiURygxOQ+kT9lrQm6gZ2Ir+Jxh+WYxg1ibiFT+GafQcnLAx438aODq2MFS4j6TFQc3vXYVYGL2Jb+TF+2FDOPU/twaEbHm6YRWN+A8sefYu259bSnpTLjKuleCU+c9AYK5FRRVv0UXT1oawIuY8tTqc5fqAI74fvJXf9OTa3VrHi1lXUbvyc6os+mMgmoul/DQ8zf4YpE1HILXi5tYcjPYY8VruREq+VKA0MsI3NxtTagicVnkRqMlnodxu6ViV6N2tEI2krc8nQWbZoEbZmK+jR6knZvo4gm2mMnrmIi+ffp7NuD29YL+H1rnXM7K69Nqa8144S5hCf3cSshPFsPfAk/qWteKy6mQ6xktf0AURYfMAKt2mc+vQ9zoyGpUdSSWhMvfIAgpz0uXNZUbmXOSNG8ErnV8QaO9HRFsutXR8TGbSCzWc3EiToaa96Bf/qRmp1vqSojjDMZjQRoh/D1d7cZtFKhzqWj4tbcFRMRF2SToJxO5YG19F/vevJANc1DcpgnnJQYwf+HhQGOFZ2PX3a+zd0g6ix0g3iF6sfxLn8Aa+nGsSvdTBvCeF6OBt1HbyE35M0ibqBJfpa8Lp1J8L6w4R4ziTDopejDdY8/z3YduipcDuJJmEB6ZaRLBseQ/W2sVTWRJB5OE5CfJUAACAASURBVIPhk15k0VsvYVlzAtO79hCxYD5Hav5JUFIMl71j6NfshN5OkJlxqHoJ7lXF1CQqcXHXYKe2JrTPmldNd1FZk4bdqB9xdk+grKiRZycpSFa4oXSMYq9hFt2CBpNyG7YI36FyCaOp9yiNeYF87P8Szq1yXjhbgMGZVjKnVNPeXsTeqPuHOq2SG1yoixUAh166h7buELwn+dJoKufIsSrcx7azp30c9MGTBttxEZqp0dlyuOZODOWZjL9pOXktGqyKT5Kz2IL4RWM5uu0r7nZOZl7UI1T/sIXSbnNGe7Tx9TRrbjoNth1Q5GyLp9oXbXkPqYWtTHCswz1hJdpzNZg13oIYOJKRpi9gNGsK8lwVcZ1LSUdNrShQWbMZQexCZirDeNwS/FR6Ki9swcXEGV3xHAw8LEhqUxNpKcPCQD7E2ZVIJBKJ5H+DVM53AzMxNePWiL/TZTGfg18f4Wy99bVSPBngXV2LaLSfL/zHsaEwl9GPfYi9opnWi4U49etZOMGBhnQ9pz54D/fxodT4hpLr8XMpno9FFJ4Kbyac3cUU8w9ITX2KsUuXkuF5jAu56+kbNQ6LQzZ0nk1CE6eiOXgjFu7mWDqEcc6oiG6ZBle3XEIsL/GVbRcnvWuJCZiDU3cQI6ub8Ek6QUv8Ki7aT8ctvBLPYd+i03VJG0pIhlxe3mUuGv+E2ncPUbNiyEx5lQ1+s+hM/AETP4E9jGF03wf4aDbzkMl0rFsO0yjX4xk1nK9KD/KW8CTBiduozyrBLteBqIKFeJt4sqH2E6z7dhDZpbhWEnjzUzKqPWNIbalEqT/B3xu0vMk7mHjeQXLWKUR9PT9qTfiy7XFwf46UghRKjAtwqNuHkYEPJtZ3YWT9MFjcyv19H7A6/zNSYlRUT3BBbKigxdKYxZdKONTUNtRplUgkEskQEkTxd4nrhTSJukEdy61nS1IerqOmEBBhjbW57bVSvLPxL3NszFucHvkPSHbD+VI9wu5HMTdsIXz+XApD9nMw6x0iRz2Ij8lNFBYY0FRSTqz73Wi0GXiY+TPLbTUKhwDaohoINrGmPt8Oxy8NwExHR6gNa3XujHBZQJ/LbSSfFwmIi+NvnS/wZqExWUa1KB2KiR3xA9k+HuRF2pB4QcmcXRqqfFq5aLON55zPkWD+EaaOFVhpkilTjOIB4SMK1NLFVcnQK9TYYK6Zyvzl79CUV0nzRZHX5ftYHWbPMufvEEMU6E2ubII8VtNGzaR6uhbVUJlcSGjdDu4cVcakQBcurz/O5YbLBEwdxmspKibSQdSqWfxTtpTxXVqOVNeyu7YeRfsZhvfsZ5NiChPM1zFnYhfqM9tQtDkQPHIKus51qCe64lKXgV2zBQFBIzg0LBXfou8wVjcjAD56qE9bxEa9K0uqzRkuJpLT0YqLdQqPiWtJNK0e6rRKJBKJZKj8XjvzXT9zKKmc70aVm/ITNg3PkW/xKuPuWsqWnasxPvVzKZ5Jnx4PqxiqlRGsKN3PBWMVB95by/TnPyAvaTxfpTqgdGsjbPUslFvTyT+Uycw1C9h9tRRvn+FlZNYVnPSJxs/MjIRDCoocjZEfO48i9gHCt35GrsIGq0CwqerFvMOduUWbiC7Pp9FRQ1OgnE9lb9NeYYxpQwf+/ua0KlwZH6DmaIsdClt/8g9ZEehjj4nLBERtEPOdZfgrjIc6tRIJ08OcmRb2IQZqNRue/BhXwZa4OffSmJNMjCYDwQW2uyxHhSMfFd9CpHU4K3p3k3NwD55Wc0kYO5tLqV9Q27adwJBx2LjZkl66g63un3IqdhTf16Uh5os8KduGZ5+KrrH17Gsfj6ssDuOMc8xeOIHtvQ/Q5lLLZL/5WJyoZI2XIUe1ZdS6JhPnPIuSQJGdQhrLTqZi2wGFw+MJkA1n3YhAVrSsYmdxCV5tBjQ2umLSUIRZnNdQp1XyexrgFftBtPUZsrGyAX5qkw+iT9RgekzJ/mJ9onSDaACmG8QvVj/Qfk+DWdc08F8rg3hLgDiYwb+fG2iZ4H9EmkTdoO6cOpyPn7HF4mI6/usWEDRlDRePHrlSiocWG4UfpUElGGpbKcsazUhtHxVlUJaew3yvxUw4P5Hcox8Rc/sB8nNTKHLcgV29EkuHcM4ZFaET9Og6HWnPscKl/SQWnsOxl5nTX6Fl0Sxzjthu50x5Bg/P28imHz5Bl5fGg5EqXiw6h7/faDZcbfqb2J/E87q1vG3/CHNqy6lWTeeHigC8e+VMKByNGNTNOfuzDG+Hf8bOG+q0SiQAGBlc+VCx7/wHOBZWoEhMQOFny01fdbK0P5b4wDMkyJPQI9DiZ4u1tpXG7UG0ak0YFmOPxsacPevK8YvrIX7VfeQfyGJa34/8bfgc6rO7sHExYYcwk91FY7FUd2Ld1I3K25dnz+/D2zmYVgM7/KvVeMaOpS63kMiqebjFxSAcX8WoEEdq8/K4pUXL+8FGnA2VI9PLuCUplFZ9AUssGyjztuNQWSZG7llMb0jEtn0221o0+Go6Gae0GOLsSiQSiUQy9KRyvhuUqVM4kxJeptncgJT1u4lxjECjy7xWijfSYS4aVyPeVN5BlrWa8IduIcTOk4Jj6YxyNEPlEYXvFhdqd5xm3IKxfN56Ly/vbiDLqOZqKd5Oxo3+lqcsP6BAcZbjFqcxHOtD1bBv6Oo4jZHRFEZ9bUu/uhmL6HLOmh+hK3Qh929zZ6fhz01/m6p6eVlvQwUtKJzCsWzQ8kD1LgIaTlESEEVZlxbbyBq01ieHOqUSya/Ut6vpz9xF5uTzBD06jbSkHdi4l+BePfZak1tBFDFX91J/eRipziVYGf/ImAVjuJT9Cd94T6c8YQd9vUpqjp0mqPAmQoOWczHvfeb37cDAWU7fOCdUU/0pnhTBtJIf6dL5YzM+gWNtyTxg+yI1Mc+QeqqM7JaL5NvrWCOu4UjQR1y+1EFy200809SBc78WN5WW4aV5jFAXY1Ztzpz2CkZ0peI0wpJLBQdp0Wfxfnk5u2vLhzqtEolEIhkqUjnfr0hXom4woijy9Oc7GOnvxKxbp6Ku6SVLdhrnIn88TH8uxesS1LQXBfGk5gN0zhXYBT5F8QgzMmwOIFbZcWviq6w7tomupDTcZ43hOYsCZFVP0+Y44Wop3luosMPOu5xX9n5Dv7EfIQ/48uTZe9hcYMeGyPv5PvUA/edzKB/9IF8cbSXBwZGq6OVXmv7mH+BJ2TYshWYyjiZSo2wka9oJgiwFhnmXki1oGWY3A0W3yAazv6Pqh6lDnVyJ5BfszI04Z/Y4M0YOQ2hW03kE5rs009HYQIAwlYzGILoENQrRmB8t/bjP8G3GP/oEvS1qqk7V86r7RpZEvsPZF1+iSu2F19gQDjWoqCr3w1ndy6qgz9khuxkVdvj2l6E130O/KMMnbC52p1/mb8Fm+CpWo8hKwnxMPN01XzEqxpAEVyv0l07w6viV0Abru7Zz0aKXXdEXsDaYTGJtHNbu/mytkRMd4EeTRsDMwYoX++8j3HgVED7UqZVIJBLJEJDK+X5NuhJ1g+np0zGmZz3JSXdT2pSP56o4KkN13JVTh6VDOIWuhwmO/47RY79l0vDPaLBW4X7Ui4J135MwdxzbGm/hzPZkuk2NGT8jlj4nBcnHjrJ8/AhqK52p9zVlveweVIIDsiYNzRp3jsYuRW3RS8PlakLbLHko5WUs3bSE2ZtjV2fAXAtfvu16Bte8j3EbpvtV018LQaQmMIoua1tabeRstBpFtWEs3vu68fcdRbuRGWu9PXgryHeoUyuR/IqBXMZb9y1mQmQQFz88TH1tNtHBs6nsraalIZ3Z3WHcoZ5ApHkfBsFtfKtchjJgPPs+/RafSh+meT9Le1Up+0wOYeC4j8ARPtQWreVA1Ax6GoOxL9DxhvpxNomLGFF3nMWiBlufAJqyKjHLGs+IvjvpydrKN1MzMVwVQ+15K8YWabBtTuHTadloAqyu7RKo6hjJzcpO8jvd6Gq4TKOjwNbAGaitXRmeewA3fTf5FybQ35841GmV/JIg/MWCIYmBHq5MEAccckE/4Pir0SMMPMSBhzjAGFST2EHEoHazG0xI/jDSJOoGY2ZsgMOUexhzZhTZ/ziOo6s7xlarWXzpa6rcTuEbeA4Tk26aBAe6TUyI92ih2nUUxRkVqFV6PnHvx9xgM3v2PUbAvHEQlsXHZmUU6+TMSXidnUY/l+KtyNrGP1Jf5LyjAkeXWIrSSnknzoDvTer4PnMLysRoUp2/x1SdwwknKz7JPsaIsTN5QtzGCXMDJrq7MMzbnSzbZEItvLGssybjrDPDuiLRmtxLhW0Hbd7f40gDo2zMhzq1Esm/VJK7k/rijdgrwGdsNMYGkVR2F7G/+jN2lL9NT7srS8vOMC2jnQvntmKYo6JDIccuxpfbL7QSJbqxcNXfUKVVQJbAa8ZlDOtzpaXRj5TkBZw7u5QsqzhuV36EQc8cTh46g1hfgWOUP19l2TNNPgqLBgGvChsS7eZwKFXLGpkjNs7d9IdaoTeR83n/Qu7uehc/QxcqRS88FMmscv0GI+csvk7Mpd/Givkdkziqt+DJgqqhTqlEIpFIhoJUzvcr0iTqBqLTi7T39BMbPJu+MQmYo6N0/wWeiQ6lx60dZ58ULshH8hCf8mjvB3yRupoD8qk4RJ9H7mbL2eO7GT1mCiHlIcgPBFOf34Bd/FNozhvy0/ZN+C0cfaUUL+8A5/T3M9NiC0WN5Uwo/oFzXtnkhB6kSWnDirQIbLcocIywIsPPix29zcztGU9i6lRUzY1kmPdwuMGaFz+Hba/rWJBpSqZ1J0btFRztfxQruz6a5SmYGZRyzn04hX2dQ51aieT/tO9IHuLoeoY/dxOlKYWEVGRjaDIeZBbo0aFrKEOeNgzn8goqUv5JZvB+oh8YTe7lE1jaJnN+wkPYeI3gyLbd+Jd4MybmDjoasxnV54+53gS9zoAlsu38w+BHOlp+wu5yGc7uofRqMzgYPJKKaY9Te6KWlLZa+kIM+dA2gXeCX2dB/w/X1lXVTgyiZaIboeWbCarZSlmOJQ6XDRlV2cA9Fs001pdzsnYDFT3nqWorRJTObkokEsmNZRBX8P4/V/SuE3/oJEoQhGmCIBQIglAsCMLT/+L7twmC0CQIQubVuPMX37tVEISiq3HrH3mcN4rzJc189vpq8lN+YtL982lxgWO979PbW8GK0W+TahzJutrb6Titx+JMNbfrX0bIv0RWiDUGEUW8qzThREMl8Xd/gNy8jZLvDzNG6c8ax5Pk1n5CTm0Gi4oPXivF8+nUEVWzgLFNTnT0iXxUcRdvpskxm3c/9Ub1dNd0UdQ4jXMHW7GdtppKpYbC7EskNfzc9LcgYCmtWhOcw3dgb3eZF9wVHDI4zxjnRPStERyW3USx6DXUqZVI/k/+iStwnXQcG6sIKrafxECdSnhZKlbGCzC2ephGfRTuJVkcm2rLMdUcEsY+j9LSmYYdDUwurubl0OEc//FDrKp7sPD1pM6kncqen0sCV6rH4Zy8CDHZCFyyORRzHPtbAkn/MZtX9W+wyr2fiqwPGK7JR93fxMNO7/L08CqcinpZpf8cO7ER5BDdk8OuCWXsmdWHV6kNE3oW8EpzIq/3v05/sxum9jczpXUrD+r2SA2trwcDrHETBQYcgynJG8zzSiV5/54eccAxqOcVZYOIgZUBomfg8XtdiblBr9xcb/6wjSUEQZADHwOTgWogRRCEvaIo5v7mR7eJovjAb8YqgReBGK68fdKujm39o473RuCu6EdndoYfN2Zz/ysHGbbAg/mXwjh5oJgNN01ic9rNCLk9CHoRPTLSa30ZUzqC3b1BLHpoMk4fb6Ey7++Mv/89AqLHkCLbhn2pGw7Tn2T2HR9T1ZjKEzZbOWFhwPs2dtQbyFnU0kCc6M/q6r0EW3fg3X6RgPnbIHcybRmtvOGtoqb2WeR9lozwikDRYM3MM9CmjKHEZy5dugzk1q4cFcehsRR57Ph+bNRVlMdpEbuquZxwk/SBTvI/bWaEJwDn332bonY9lWNg6eFUEhpTr/2Mytkd/8Aeis1HkTBuIVlfHKGuMo0In+loDWxpLF1PUZQJ4+96jORTn2BsGEFl93kqu/MwkpmgE7XUWDuh001msmsfNihxLXRG7nofnfkllMeV4xA7ja7jfZj3xuJta8LJxmDshTze8H4cY+Nu0hujmduiJVkTzcWGPbjFhpDjFYV7mA0Or7yCj5c3SeljCQ0PR63TYyKXChkkEonkhiJN6H7lj/wvOAIoFkWxVBTFPmArMPc/HDsVOCqKYsvVidNRYNofdJw3DE9XZ8YoV2LauZJj3xzFL2A+87sbmVlxB5fSv0BTDHM5Q5LRGgqNb2G1gYoWW4H5Ta0EGNhyd2AdOZVpnDr0DZ6LI8jw82J1gRY/lxg046ag6a0nw6KXww3WPP8FbHldR2K5ijLPLpKtPPEc5cLFHA0V5RmU+2dTZvcxjqFepBbbkH70BH3DHTmt3I7WJIZs7xjaNT/gr1AwSjmc3lxL2nNMkfveSrbd3SiCszHz2oKJoEUhfZiT/I/rqC1id+vXmHOM0U7tfD0NmiyvnNhssJTRGjwWu0vxPOY6B01LHsU/vYlZjzFBC6bwefF5jrYuJ3bc66hrW9FddCWk4vK1ksA+vRqtYIpLtJ69w6diuuB58nfnk1FzAZsYR56stqezeQmBdsuoyTlHsM6J10ttGaZxubauKunMSnYKy5hp9j4WDY7oZVNx8BvNo/Ln+LvBAV6aU8e5KXZM6QimwNKFsLOX6dDqhjqtEolEIvmTCEjlfL/1R376dAV+uQK5+up9v7VQEIQsQRB2CILg/l+OlfyHcmrbya/vIG7FMzjYdCBT9dNaWMur8+KpLbGjZm0Rc/tOkWi9iVUeRkR4u3N/SB9uzi3UBmdxIe0rgqY9zujq6RQcUGNiYI6Chdx16V2KTm1g9MqxyFw8Saq3YlZqDIUhL3Ny3EfkOy1F75VLUqQHQR5L8W+/maZTcgLHD+Npo8dJx4dx6qV0FsXiHiWnPNiSPM/wK01/9Z3UG3ZxzD6d5S0b2WD+CMbOXfS2fUedXTDvmt5BQ790FUryv++HYpFIA2vG3HcPkZ2mTHVs49W74ean5ZyMd6WqW0RRk4N7oC+7d+2lOr4Ml+dC6G1vR1n5BbbjYcyY8Vz4KonW6oJflQSaWD+Cs+lCTDsMean2fWKtdNSdfxe/3n5sfB2wsvqJnpkJyDMzaNAFYDUqmhKLGjpUxdfWVSHqme22iwV+6eQokvCu+Af2Oh0VF8ZS2zaW71T1jOwN4EDNJmwM95PIcTQ6aRIlkUgkkhvXUJ/C3wd4iaI4jCtXmzb8tw8gCMLdgiCkCoKQ2tTU9Lsf4PXih/0HyNgwnr6WbBLvu52ykL18WfMZWitv5kx4E5WlnFjrH1hrb0mdoQE+tWBdJ+cV3wtUeZtwV4UfTRpz7JdMINjKkfJ9abwx0p188waOff8JFhZmWI5tZNTlGEr8l6ExsUXXX4papuFi00pKLviS2WYEwRao67IxNRzD2LQLVB7ajdGUeHS9yWh7HNhVeRNqbca1pr/hzp4oR2agddbylNyRLgc5U1xvx1xIRDQJxM5IanUm+d83L9qLsDsO4BU1l38KSxjfpeVIdS0Z5VX0GlTh3J7COaU9uZU/8aY8hmKHd4kJvZnL3xzE4dIoVlstoLryJ4RL27FXmHFoNFi3pJJw4QXGn3oAedNuhtWOoqPCmOpzR8geUYz4mBeNKY3EleVzr7kRG2o/Rdn5GVZKkXmdX1Krc6Sl4RKzu8O4STMKywI5gWl1uLtUcX6lOc0NdczpHkmasQ8TdV/QUWOI0nQuhnW9zGxJR2kgTaKGmiCTDTiQCQOLwaxrkg08BnPaWy7TDyhkiAMO+WBCEAYcQ0GHbBAhDDgGuuP373U15b/fHn2AByyKoB9E/J4Gu936dbbt+h85iaoB3H9x2+3qfdeIotgsiqLm6s11QPR/OvYXj/GFKIoxoijG2Nvb/y4Hfj26Pd6MwhL46dWPsQ5wojt0KecvuLPl8BECFk9geFA83yrlROeJfPyxlqd3uTIxfyXxl+05VqfjhYpXKTv4IPHzJ1LtVccZ88/Q6JuZb3Mrxr13kHIom4D4u2lynkOfthR1+5c4UUiYuRr/7HoeMX4dzaX7GD12Ah1OdmhLq7nV9QiNus/wCHXA3WUs/QXdvNCf/HPTX7PL7JPX8FLbKySb3cxTu9zxzG5ih+VxnDur+DEmACPZUJ8HkEj+PRszI8JcrUg+toHv/WfytO4uqvV2CCLMcmilIMKUfYGzSdtzktXO3/HGwmHUnTxJVnEDco2IZ0QgF/cfIX9yPt7PTCXUSXetJBBArRhOsuoyZo5Z3FPpQF/XMkYG3knZ4Z8YXjkHY6s44vtKUM5xoy+3A9P0hZjhSK3ozv7azVxuOMyImjl0q6Io6J5EhDCf3MJ6znYmYWCRgs1EU6r7j+Da/BFWZeGY1M6jsEekSyrpk0gkkhuGVM73a3/kJ9AUwF8QBG9BEIyApcDeX/6AIAjOv7g5B8i7+vVhYIogCDaCINgAU67eJxkg1/DZxFuuoKnXkUsHTnF70BzuNt1C4YXHKanJxvuOsfgWCCxIjqYw5GVSIx7EzRKm6GYTU3CaCidj1FtraE5PIWZeFG/33MN9x1UEL74fW7M6tFnlOOst6aYBF6GKWS7L8XEcS2HICTzsMjnd4ojxti5M3A3RRZ+gWPyKzuDFTN5ohbmqiVLv4xQbrCM23AgLhzDOGRXRJVMjqg1ISD9Lf30tGeE3k4MvwfHnMLHYPdQplUj+Ky3dfeTnvY+NSzc7gmcySvYx3prvWNn9FR/6rWFq4Xl8KkOYrrkHpZEjn2U8j0tTEpOXTya76ihvmk6m3HM9LuZhJLctJNGh60pJ4JMy+vu342y3lVLtRMLdT+O5II6+jGxKO83pdFOwq6OSF/pepG/4B5y/cBpRVYJD3T6MDHwwsbqLRr09KdXHqXc345vghahCZ6K8XIa/MhTfyqM8p95Ao1sJZxZaItRU061QMD61kINNbUOdVolEIpFIhsQfVgsliqJWEIQHuDL5kQPrRVHMEQThZSBVFMW9wBpBEOYAWqAFuO3q2BZBEF7hykQM4GVRFFv+qGO93r2/P5nYQE9iHlmG0QeHyc8/i8/YKJwnP8LoJ34io/UUC99/kOlZMeR7RtOv2Qm9najcRtGZcIqxZ8OZHP0428+e4dj2s8x54yFWtbyHR8PndMV8R9xNi9lf+AYGWX24yBuItZ2CgcwQUd7Gea9gdEo/Fm8zoMwxDMecNpJd7uRggTknI+w4FGJIT3Y/xomhvNXizlp7D7KNDqN0KMbbJx0jo16mXtLSqJWjapiOvtGMdYpXMdKZsHOoEyuR/BcM5QKZLfOY3/8DG51vp8/F6dr3XBrTGJnXQ7FzHXHTF/D3i+XEqruwuCsBMx9/cr7eyJ2e9dyR+Hdyv9zObqNx0Abru7ZjKm+hJMaUTR0rGNUZjnt+KgujYvn89J0ENnQRP+EzasrfYuRoJ4L1flyq7Md5zCg2WTzF/BSRSq85qI1HYKjrJVL7BXZORoTa3MaPDvuYEOaF9tIYNL6u+FWtw9oljvR2FWGWndwllhFtuBqwHbqkSiQSieTPISLtzvcbf+iCElEUDwIHf3PfC7/4+hngmf9j7Hpg/R95fDeC9p5+lJdeIKWolqDVJ7Cc5sSevkyyc4/yj/iF7ElowlbVR+n+i1Tbh17Z0AEtAG0dZ/im/25snduZHhhBWFgBrR1q6tKLWDEtlL0v2pFRs4mx/3iTOsGFb5o82GTtQrmBilSDUroENcU5YUxuOYmdRzy6nmLkly2Jc49jbuntEPAwjhYVGFV1IjdbjLDjEI2zQlA45NEUKOdj2Xu0YEuY5bvEXEpjsmsI5rix0jUQQ2ktlOQvxsLEkLXP/Y3NX97NqsDP2SG7GRV22GqbuLvuA/IcRZavepfOnnbK1bvY5fEWRyeP49S2/XiVhxFpNwPLPj07q9/HJPIN9uSOYW/faAT0iL0yQnt7SOhMZbjbGGrUJkR0lqBZGoC2zxRdmhszQoZRoN1JptMBgkaPoiRbZKeQxrKTqdh1QKuFnFyXJfQld+CiK8U/uA0bG3P0jS30jrLl/uZ7+bvYjltrHj0dbrg05mAT4fTvX7jk+iIb+LqbQX3+GkTdjDDA+qHB9HuS/cVqlnSDWKeiEwf+y9GLg3g/DXTsIJ5zMG/iQb0l/kfWEf0FW6D9oaRPotc5K4Uh5iNicXitmDzNHuKfWMZT3wssPv8+NWZKpq1Zyo7PPqOw/z16tTI8zPwZZjMOhYElPdoOqjMuEaL8lJQLpcSvfJTNp+8mvaeMJ2NewcepkkJVJUElFdhZr2bpiRepNZ5FvstBgn3SMTbuJrbSjjOoSDVvZ4TDLSS3HWCpQwgv2baRXv09SxMe46fsM8T3dfK2+ctYVk4kzd+UDfU3Q7EaY3UtftXejFE5kjqlDIVhGssU8dja2gx1aiWS/5qpkRzfmqn0iwd5w+dKf6aDfTPJV00h0l6Nb8Q4Uj49yAiTHB6ND0WraaBlbyrNSgtWTp/DmqOXmGHXg4nzFr7idsRiNYIaRFMdiwq20WMSh+/8Kfyz7gJHhb/zatw4Tu/ci2eVOeELYtix60cm+9tgrrPklhYd7wcbcjZUDoB1hxGvFNripW3mb43D0bc/hndzGJldexlje4mY8A6aBT0tJt8xRfMeprXzSeo1wqGti3hr8yHOrEQikUgkfy5pVf4NYE7cE1QHxNBa1kB7UQPfxLpSalDCoY9fxRAd0TcF8Lb2LjwUP2/osN70J3aaZzBDsKPjshM9H3aDIEPlfwdpSW4cSM4i9LZxRDiGUX28kNXBTggOlyh2+ZGGIIGnTN5ihbCDp9yfJ+ysO96n+7AeclqG/QAAIABJREFULac6QsP5vmJm5w9nxHpz+kMMMR+5CyODk2wy82ZjbgHbm+Yh5PYgU+t4zmAzONlT6GiBylRGd6iaHn3xUKdUIhkwF42C4NoZ5F1YRtLplXjq66iM8SZAO53KMwUUp58lpGYyIYGzuHToVdKd9hM+z46OnnqKjAtY6/MpMZoM7nT5GsuxMjRTnJnqdZnzUTmoItdjYKLHu+JLlo1IJtpWizalklZjW1TKFv7huJLvIz4l+0QlyW0LeaapA+d+LYIoEl8bRWZ7Hae0chpc2umbNgJ50jqG1ZRTX2nAzKqzTG7JwnBUP4XVF+joucwLpRWsqygb6pRKJBKJ5M8g/k5xnZAmUdexjMpWXnrrbcra2pm6agotXn0cT/8QZy8fZiiWotHM5fiWn/DzmcOy3nosf7Ghg9K+kvqEdn6yr8PLYCVtNgJZOw5xm0cCqxSfUnThTmwCXWkMbuGSz9d09hYQb7WCCn9D1svuQSU4IGvR0NzjRI7vKoqV7sj77dldvpCPzttjM/YBsh2sETs7eUf/Is/UD+euxrHEpieiLhaYyxnOGT2Axi6JOOV7BJjIaa8P5z3hSY5p/Ic6tRLJgGW1XcRLa8fSvgRu14zH8nIYj6VYU6U6RdKGBxA6LQhZMYP09iq2FXvhHxhP/OSlFG7LYaHqMOujRepKY4nXned97uUbbia/3ZlYbQjOxpFU7j2P9aUJTDdYSWnuRjIdduI0pZ+qCyd43O0jHgnvwuT8TnYbjeNk2wrWV/aRVlbN+Lx0gqvLOW4cw6rOd3lBkc6WwCz2LqzFrcwZz8qb2VydgLp7EU0dXvRaevFE/2OsMdgz1CmVSCQSyZ/gz9ydTxCEaYIgFAiCUCwIwtP/4vu3CYLQJAhC5tW48xffu1UQhKKrcevvl4FfkyZR1zFdZyPK/g85tG0VriPCsI7r5RlhKp9crmbEPc/ibdVPT20rreV1/G1eAllGtSgdiokdsROroBKyMsPoVWsocmnHyyuGwr5kjHQd4DWHmAMx1G07S9ycUfyzfQ33nuolYt4adhkuRFunw+hUPbPSD/KP1Nc45yQS7zwCeU4vrwkpPNt4O+7hWhLsh2FUKiOqqoOwEz8gm7qSUqvOa01/b/MwobbAnPY8EwQ7e2K1beyO9GO+o3KoUyuRDFitzpEU1RG6+9uRiQKjW0ZQW5dFvrUxNUFlmNzSiq23HeVnXqMm2oHg5S9SldlAQ1YqIZVzcXUbj2/tVEoKRqFWm2EgarH27+FcSBRuZRM5fToDWptwjgngQFIPcb5KoiImYZTihG/mTKzrmtiYcAkTP9jDGEb3fcCEvnfYPlrDB1PbmWFhjiZtCV26adzVUcsj9lHkFhyho7+YXe7hJAVOJTBjHx7qBn4qXcDyxhk4n8gk5lwOP9RL+//8qQThTw9RYMAxmB5TgwmZIA4w9AMOOQOPvxo9soGHOJgQBhSCnkGEOOCQ+ir95wRBkAMfA9OBEOBmQRBC/sWPbhNFMeJqrLs6Vgm8CMQBI4AXr+70/buTJlHXsZiQANw6YjFPm0LO/hSGx7/EssJDGB1fiKa/lsg7FlId8SMfV3yD1tLz2oYOT5m8xZO8xwL5fnTqXahtLmC/0IWzIQreL73IzDEPU+rhSl5KOnbm4dzZdplbi25F6CmgtdaMm/IOcE5/P/eaf8oFfQFhrec475zOefVXOEfYsbfKhPzGIoo9VJxsOc4rPnkY2H1Pn3kBCY5RjLD+gZON5jz/BUzOjcGp51YKHQ5j7LOfOCtTrAylpXySv65f9mfaXv4me2s20mBjwjeh4yg3fpRpU9eSt/80XA7hiQ45I2wdSV63ht5Oc3xvmsi28uLflAQuZ3ppMsuzPSgyOYV/WQFRI2NoUCXxjc8Ujsd/QnlmJxWV53Dzs+P5LCNm9fqx3HkLYogCvYmcOtGWWzossTEbh23Vj9i0NFNqZcFi7dtkWd5Eiy4CM98I7rR+j8VOh/hq7GUORnlx3GsMTcgQgWpNP48XVEkTKYlEIrkeifyZzXZHAMWiKJaKotgHbAXm/odHOhU4KopiiyiKrcBRYNpAXvK/I02irlOqLg19OpHEez5FYdFB7dlsXHQCUya6ozih5OLr63EO96LG7TaKTso4euwwDf6mrK+/lY7TeoyP1vNJ90QmXhyHU/YIAoNHUtEwBo+DW+ntVzF+wig6HA0puJDBykmepBYrOPbN5ywqPsjr8i9xk6mw7Ib5F8dzc2knGsdqvnAeh6FNIuNKpyOcMcRpRCMlwdUUBMThe0SBmFNOuauWnHo5t/8I9h3QbiKj0eAyRjIdp1yi6ZZ6e0r+4uzr9l7rz2Ri8ygKq7swtjRktcNXPLQ0FnlrM2f3pCPWdBI/eTanTh+j0DcXcWYeNt42dJf+81clgas0E5lddQfmfU7YWaWQtiAH+/kJZB64xIuGb/HicGMqdryJZYcSr7hwCpVtfBX/yK/WVXWNdeUWj7UEKrOQd4ehd43ArPNbAsY0IFcUE5v5Ja7GPciyrPGtc2aVhYo9Fh5o5L/+F9KrF1lbWjdEmZVIJBLJH+lPLOdzBap+cbv66n2/tVAQhCxBEHYIguD+X44dNOmU/nXqsx2HcKrfwR33v03ItCmc0nyEOquN2SMfptbDkMaGasovZLImZBJnzv6NlBPfsT30DYTcniuXnYHeHg/OuHYxVWFC7ekcvgw34K3ySxjufY1Fyz6i98x6Nou9/M37OeL7sygrVPCE28ecsDDgfRs76mUybq03x0anx6OmAes8FalCO4pQd5rqklG43MeGg7VEmDthZPsA9WXu2I05z/Qt0KaMocRnDhh0M9HShnWtLZzW+WI4iO11JZL/BefD0piQBpVec9AYKxF7cwjqcKfiRC8B0+JY98MqXCqa8b5lGUaW8GidyBjxdu6adT+lu85iVuFKY585KaojDLMZfW0nza+Diqmse5DbYkajyq3CpcgBhXgv/apejgek4uMqo6a4iRWdG4kKXkLKmVjiA8+QIE+i1sQVfERUqka8inMJmvMEx5KbWWJWirWdKW/f2cazxmYkNszhqK87qW0aVIYm//L11Wj6/uSMSgZCFAb4t3Qwf4IHNXbgJU2yAa5klw/RCnjZEJzfHkwRoW4QW4brB/GmGPgW5wN+ykFtUz6o7cH/V0r6fr/DsBMEIfUXt78QRfGL//Ix9gFbRFHUCIJwD7ABmPC7HeF/QLoSdZ2a7lBOfn02+795g8DZsZy3m8yHZ23IqFaR8OA0bF2DuJi5FaWpgHPso0RlzaD36oYOSUZruGS6nHMmd2No306Fez2n6z7CMSSCWSXxiOciUbfrqXe7n7xTdpy8XIrjkkQCFQZkmPdwuMGa57+ALW/qiWpvxcF1FHJNP/cqP8Wy4glGRIXjZzuaYW1mvN/4Dn4Ve9C79lBddZBmtxloTWLI9o6hXbMT+pL40SwHn4Y23nvvG4xl0ltW8teW4NTG/phUAnJfYPypB3BuriGzsRCF9WaO1bRgnFuDalE3/isWcmHPeZbafMPkeQFYa/o4dfQiyipTgiuyqdM5XysJPNy0mwirMwwLK2DmiFCKN50gvakY+7F+PJOnxa8rhhnRa2g/mY1H9kpszMfjXj322roqZ7EGm952gkrMObmoHU2ILyHl8UTqVpKap+Tu9kAqy2pJrt9Js2MTyWPGYCuq/uXrs0Uq55NIJBLJ/y+VKIoxv4jfTqBqAPdf3Ha7et81oig2i6KouXpzHRD9n479vUhXoq4zuzNq+OfhAmo73HilYgJVrVY0Ta1jmdtU2jPHkbTrW+5dcwTzxEN8oPamLDuZp0evZFv4e8y7uqHDKqU5Hf2uLDxnSLT3txTaJ/K57Ha6itsZf8+zqL/+jspdx7h9+WQizW6jLG0Hk1ccYk/mJdIbrJmVFkNhyJWz7MZiPbKwLahbWqiVReC2txijp6wo6PwM4+5uCtxaOKH+iUfCXqQly4+uXm9yPMKuNf1t1anxi8igtdCaio6pQ51eiWTQIjtNkTm28erd1tQZyJl/7jC+lu1EaIzYXvRP1rs/weeTYmitaKMvqZJw26lMSJzH5r0P4VPeifvti1GlbiS8DEp8FqAxVuKiz0WbI+CRdZLeyCTS2r8mXDkcS1drDKu/4ci4RSyT2XKgrB57dxPyekUcGy8TIEwlozGILkGNILcgS2eMd0c96jpTLlUdIHbaMt6VjyfaYhp3HLqI0nIKzl1bGG9cxUWc+Eq8lz7h5ytSRqKaReJGYOLQJVgikUgkvzuBQTYM/u+kAP6CIHhzZQK0FFj2q+MRBGdRFP/f+vE5QN7Vrw8Dr/1iM4kpwDN/xEFKk6jryO6MGpJ2fcI2tuJiqCLJK45++XIu7DzJ3EeXsUUei8txPwqdzxG14C7Ez/bgmfksPU4fMeeh2+j/dsSVDR12gLITTsfeTmlVLqY2l7m78juUDUX43LOfktN+XDLbzTyDOJptxhG8uYve0Fx8Jvdj8mwMJf7L0MuN0etaUMttOWK0gAobR/Ybythr14RGNCfLN5gSYwUTmqIw319E3+vGXGjazchuczTazCtNf5WJmBgZ8KBpG7YuzYRlnRnqFEskg7bOaAVPdn3CzO5aRKDBXY6lVs4PmmewyM3ho6BMElwSOfHQMxR32TN2fjw5HX0YFuZStrCPhMWT+DbzGRYfSSWhMZV+AzNORS3AtqCBU955nD9aQmRQGyMX3kLjyVLCa6u4Oy6Ow7nrCS4rJGjJanY2f0xlTzU0wOyrzbWrbVPYHBSM2eV21Hu/x0KMxNzOlDu0nxDjPI6SXevxd4qjJj0cucVEYtzXIph8ynZxOSrssEPFYjYTrckY6hRLJBKJ5Pf2J+4UKIqiVhCEB7gyIZID60VRzBEE4WUgVRTFvcAaQRDmAFqgBbjt6tgWQRBe4cpEDOBlURT/kBIJaRJ1Hck88AWjzDdyq605jXJ3XPqrWdZ2hsxhFtjUBbBgyQdsz/mQugs5BE6NY91YC97d2Ir8jTdZ/PYGcusNuP0ImGhBJzPASaxF4RBPelUhQRNNafq6hyzPbfjMt+ed4gnUlpVyf8zjbDqzm/ajF4h7cjWXnPfRpy1F25mEk4k9Mq0hYnoM9wmb6Zn7GErxJxpStJS5zqAtrYGb/ZZxKjCTqQoZ7aFaVOZF15r+7jXMokvQoGmJwqbXFw9Tqamn5K8vYubdvLBLy8PiVlyEZrT9NqztXYJnUxOBmmgSb7mDqsyjHDL/kRirMEISHuW9i+/ztfJJnhsXTV12KSFOOr6eJuem02DX0U146SXOBJcQ7iPyipUbWcr1THEYScbhfxBimoD30klUnn6F1Jv6iAwPwfCHXcgNIqjsPk9l95WTd0aGnrzUewB1bQSb7E/jr7Clr2IEZnlWBJs7khehwsDXkajTrjR4uVFZ+vOaqv+XTiensnTMUKVW8t8YYGX0IJa/IA6mGnsQzysM8PS5bBCLWIZqPdVfzWDWUw00xYO6mjKosYMY/L+yJupPJIriQeDgb+574RdfP8P/cYVJFMX1wPo/9ACR1kRdV3yMtrDW3pIOnZy/b/XGrcyaTU6pJBWMJG3zNkxtjBg7dxb5gRc5lPo2zuFTmS4sQdUeStqP55medGVDh7PxL3NqzDv0mg+nJPogDh4KJkU+irHJTWQcacbFfSJmpQoc9n6Jhbc1Ed6OWPZZo+zQ0E0DLkIVs1yX4+k8jj5PF1a3HSLDPpWC/uO4+STQ0WfMs6a5vK+7F1uXFtyECrpK6tjUfC+flcdg6RBGoethQuK/Y8zYb1mjfB5/7RYsHcKHOsUSyaDNi3Rl9Pz7WKL4El/NZpaYfoGT7DIWbUa4jY9Gp9Bxa1o/wxUeLHjgRVouV6HIyudZ9xPcFGRL7roDpLQtJNGhi1fvhiVPyXjptixC/BroalrBowaf8PkYMwoOfU1XuxKjEC/O9pbxWecdyL0/JPPwKYaVx+LelIOhyXiQWQAQoU7AIvUWtA29LDGuY8bYUbSmZ5OoGs+u7gC6GmeDfgYn6k4h2Obh9os1VaIIarUZJQWjcK8eN8QZlkgkEskf4c9stvtXIF2Juo5sUsqJzhNZcVxPdtAoptb2cKpvN3b2H1HZ0cy+rUZMX/kajUm+fJ4/DFOfFqIffxDZ2q1UpudhbRLDZe8Y+jU7obeTOpk5p8WpNGkVxGGNS7QdpvWm9OQ18FZ4O6+dTsM5YzvBMydzsuhpLMqbcJE3o3QYzj7Dy4gWNQiR9ZhkBTP9QDXKzDy6l5ig7t+Fqc9tfHzWmtnaWixdI1B3GrCiJxP33lyq3HrwDTyHTK6jGTvsTFT4Bp6jEjlwy1CnWSIZtHmRrsyLvLLj6oWsHC4fzkTl1k/g7Jc4+9NGPDyqaYl7BBM7f75/dS0BRnHETZ9HZeZusnQ72W30MrTB+q7tuAgqakU7Pmm/lUmiDRbVq1AqI/mu4T56rDQsnnOIwxdfxzVBycLouaQ+ehGVTEbWsFTmp4hUei1AbWROXsMeLFvVbJrhi6b5bT70HMelbVuwceqkycqMzVHLmV9yEa92O+Q9Im2/WVNlLpoQ2e9JS2P6EGdXIpFIJH+I62gC9HuQJlHXEd8Cgfkp0eSHzUFp1IHau4rE+okcbj3C3OIxVNVaoxrXyBif+wg9P5PiH40ZddePWM0MJ1P/PsbFMTjL6xjmsvzKtsm6TjrOZTPc5RPykg4xa+lHbDjwADV1J5k4/mUWv5lET5kGt489+Kl9Lh9U+PBPuwrOGRWhE/ToBEvWVy/G16CWO52dqBK6ifEP4K6cf/C+zJqbL8ZhKeuhJCwXhULFEgMl31YdJ85DzgX5SL7jVtoEJRZiOyvl64n2Sfn3SZBI/mIMrVwokz/JHQuX0FhRgea4AbOdtMweN5rjRz7ArLoXYYQpcg9b/ra3g+m+ckzdYU/uGPb2jb7yIEIfL5Uf47K1GYtnzWVTcTX9DaHEjQtD3apBlhbEPFczRI8MatRbCY4YzS6lyE4hjWUnUzHrs6PEezpn/Q8xxauLuhAFxr0FhBRn4jR8AvKa74i37mZvtxHt/nksrn2LjJ6jv1pT1aPtIKv11JW1VhKJRCKRXOekSdR1ZHpWDPme0fRrdtKu7kXwN+d739nctkvE675bUOxLJ39PEhMeuon13iF4reun1PQww1dO4bkjq7jD6ByxtlMwkBlSI2uhRlHByu5QdpTbEX7KFP2IbrrDx7D2kj/rm+XIZy1Gm5ZEw+VCfLSxLL38MFnGk1A6FOPlnYmhUTc25yoIF0vJMx9FnDwUWVsAicnbKO0dhnX4CAzUHRiHhfB5swUrzHSEfnac1Icj+Yqfd/3qFKxYJ96LaPwpM4c4xxLJ7y3a04aoR+4HYN9jO2huKSd+ynza+gSaCzZRMFzH6jVryE37jhofI/Ls17KkYyvfhNyMWKxGUOuYbHKBTJ+TOJnaYuP2KB2nH2VP9GwWTZ5B8nu70VZWETPrZg6cPY9bpIrIefNZsesgHwYbcjZUjnd9K8b93yEo3fDLdyTG34Ze/THWTU3n6elr0G9SY+rvybjWtRh7G1NXmILpb9ZUXWGAqeHIoUnkjWgwLR8G2CdKHESvvsGtpxpEn6gB1g/9Fdc16QfY8Uk3iNeqG8TKEP0gFsoNtE/UoHo9DdV6qv8R11Mp3u9BWhN1Ham2D72yNbi+E0QteRkuLM7Zgd6vhLDxUXQEqUkKO0xa3VluHb+WUs9QypLz6Wvr5zW/IIZZx1FuoGKr0VlOWx/j1KhyfvIrJVG9mlp7O87tP06000Leqf8bBiefJmZ6JMYufuRk5vJKtCk/WdSjcMijKVDOUyZvcYvsewo81OzQtGPs1UuyUxndDaWssP8Wt+63CPE1Z5ihJ236KZSescCv0RW91YNsF1b+attkgD7BhO9lUimf5Pok/D/s3Xd8VHXW+PHPnUxmJsmk9957gTRCQgtdkCa9q6DY3dVV17auurqr4tp7QUFUuogU6S20EAikkN57TyZtMpmZ+/sDFmHd59nnR4BQ7vv1mpeZmXuZOycj5OR7vucIAvkZa6mqXIWzlZ6Q5AS+KdjO91334TPyE1S9ptT/YuS+quM8FxGFc0E3S1xWYjVcRs84NyoV/sTYO+Ls7EjdgWxUGaa8rmxBqa/DcHQ9ZgYVtkH2fKz04yPHL2nv9udU50yea9Dg2qun1BnaXAxMzpORWDWCJP+J7E9XskTmg1Dail1dG+YOVrzUsYyV1sspb7PHvSHrsj1VyCwxVY3EvSGrf4MpkUgkkqtPBIzi1bndIqQk6hYgiiJVrd10X2gNPtnrYab6PMGT2uG0K4qxPd1L+YF9DJs7jh/LZrP5x/2ItlaMvWs4jV5aDh9YTUyQL9XKLnLcthM6+AdCY/eQei6eotpqup1VhHqE09rcSqyVjBwnJXlbT2Eq74X4bFL8j9Fkbs70wlhqA8xYUXs3mkNGlLtqqD4VyZTTd2DsMGIen0et1SayTQei3deOU0Ao+y3zCemqZy8P425WTYtZLk3Y/8f32YTddY6sRHL9bN5bhnlCK0NeuAdNSSP2OWsZnFDOvBGJpH+1l6aqbCJsptLWDV31oTjmGXhT+xSrxNm0httw0HsMzXUD2b3xF3yLvUgcNJvinWs4NDwD6z94ce5YPg9af8I7Sc1Ur/mI9YF3ckCziBXlOs6UVPB1sQ5N6x3sb86jw7GDz91G8MWAl+nM6iRPp8bet4v2QWpiQtqJzP6Vo+FphJSlYa2cjsrmCayV0wkpS+NYxKn+DqVEIpFIJNecVM53C0gpbOT4d0/ic6E1+CbFaaz8M9HXuxFXOotSOxmpm04xLWko79vu5tfaH/h1m5ZJ014n1fQbnuuOxqKuniK3ndSFCHwse5tGHHhE+Iw64SAnnDMYE/Mk+b2/YlPvzELXh9lu3sDZ/aUoRi1hy/pSlPJ2Zs99kbVVRUzL3cUzsrW4KRsplvmw3elOylssKZAtILdE5GehiuPyXjrsenBN2ImPlT2PONiTbMxgqFsczr1G6hQmv3uf7kpFP0RXIrk+YsYvxkJxL2p7B35evhx/+SSmDRyOtj6LrLPv42EYRPi00fzp5AEm9biRWt9LQ4MfJiY6FtpvpbXeD4ueYhwqHLEdF4HOQsvjLeGMkC0jIXQ+R9euxldxF8GDRvB3y39g6zaKDcKdbC4YjqA1oFCX8VHpZtKigmioLudpx/cYF3Qfh7d/RnizkbqyR3mi6WPCLCfyl2n53C+2sjUujZmH0rDXQJMVbBgOY53b+juUEolEIrkWbp1FpKtCSqJuASG2Mg7bpmGle5Z8951E+afxD+2zyLR67gpMwT8/Ao1rBxmHD5EwaSHaNYdoyLehZXA7PrGvM+bD5VRU/khpsA2raudBoRaltoZvzZN494iOFid3Qh8YwL1rFpKVVc1n98zF9dc3EXPMSJqaxGs9zyDPaMZ9/jbGH0zhDZMvMRd0pKqUOMkribdTE6sIIL3DwLKC1zEm/5Xuo1/Q3W7BSz1vMU2v5E87tmGRVkFtXCyjayv4yceX7kuWfM1kAs/5ufZjlCWSa2ts+PnP9+kd39FcbQp+WuzDPXj+2xQiB1YTMD4eTW0Tvi3fomn0I8kpjHTTMjpE0NaGEaLzxui4ljNJSoY88BxnDu5lfMB+kn2mUn/oJOfq6vCJ8uL7Ch1hPU4IvRtZ5XovOjcXAB7N3sgv00sw87RCf1CHuWYk6oBQtL45VI8axoBzcnSNS6kwk/GG1ohVrzky51ZeW2ZDrdwEF72BP7S0MqDdvD/DeHu5wn1NfXvNm+9cuezK9gn1ZU7Ule7Duhn1ZV+TsQ8b5YzGKztXfuXf1j4lEUJfZj0Z+3LRV89t9LH+P5HK+W4Bjg72jHF/lAqPQ9SFCDyjfAdqTVjS/BLdtvnUBebSEFXE851VtItm+N73NK6WJuSv2cMQJ2cGR7ZQkVbIuoZpCOe6kGkNCICh04Gj7hE4mqvpyGnin+a5xIovU1W9Db+Ro8jy2k1DQwY1Yb7U7+1BU5bLn41r2K+WM87Djc80jqyocqbIvohM/83McCvjG5cKKpR5JHjNxK7Ok5iMXNoOl9IQeT8ZVnNQheYyzvVT3gywx0NpigB4KE15O9iTGS5SOZ/k1tbW1cPRgn/SYr6aEfcnU1F2lH025mzw/hS/kDmcWfkLXukJVBucaa47y+TOCJZqRzG5M4K9/tWs1T5A8NCPUGplGA/oiEsNZ4TrUH7MfBXPulMMmxBPXccPvBr0DD4FepYYP8dBrAdRZEtnMkrNXQSWOJGXuQ93rQm7O80paZqFvc1DnMk/SkNXNl8q/Jhl9xFvyuYyskPPrspqMkor2FVZzcgOPW/J5vZ3GCUSiUQiueaklaib3PcpeUR6OxFz14Ns2fcwq2T3ohNUyHyMaL73xOfEYHIXdePk/SCj1y8nXVPApIWvUZyTwWnvNbhXOZOc/DK6javQFgpM4xDPKNahNmmmSzTjK/ul1NnJOJHzKzFjR9O6dAu1RUeI+MuDHDkTQmlzFc+5L2Wd9UAKjmvpsOxid50NL64HQR5KsVcyVX6ryQi8C0dLWx5f64pVYzEn3PKx0FnzgsM+2rtraLV/CH1VOo3OU/igYRCrbR1Ic/fo7/BKJNdVe4+BmoZhjJochZWLF6lvH+MBr21MHvMc1Sf3UVCswc5JhgWuVIsC5dXfg7EdpcqdgZaN5EcHMmVYImfe30B+zTkGxCZzsqGHoJ4adHMskakdcdhfxFuujVhVj6eX7bzp9xSmyi5ejXyVbo0F/jvNKDJ6Ej4ojjLdNnYMHsf9jta0NNnjlRTIMPOviYty47uyYQi54vnSXaGJatGet4xz2Bk6vL/DKJFIJJJroS+rabcgKYm6iXXrDHTse50Uq7P4PbCPn0xnoK8xoCiopU1r4Jz5YkYqy1Fn+LN0UgQfOJVQ93MFjQNPkbA2APbrAAAgAElEQVQghucPurH71wbWLErC9c5wpuUeJNlmNUvs1HTo3JicakKozyoq/IawWj2eT1ReyIMXkt+YwwCdBU21CXgf3YXx8RewtNqCPr+LIya2TDoVS37YFLpN9Njqj2J9OpY0IQzXdnciI+9F2W2OZfQBSnVdVDYFUX+igT8Mjse1wZtGVQIOlq24qKT9T5Lbj4etOY89tRwXaxUZ64/QWVJIlMUs7ByiWPPTKNRdRoYveIvUZz+h12s+cutQABwNmSjOqXAszMd0WDn7C94gQjuQuEkj+PuZ1fxg+SbvDhvE4Y2/EFE+jKDYJFp7chGqJ5JWH0KXSTv3eq7Hu+xODgX8iHNmPV7hm0jbd5pX7I5QoB1EnfwLgoJfwSzDhDAXB4yuP/I197K58PyeKlFlAkEqlrp8A4zv30D+F4Ig3AG8D5gAX4mi+Ma/Pf8kcB+gBxqAJaIoll33C72WrrTFeT+V5PWlcvHKW5xfeQlVX9qjy/pU93hlDH342bhPLc778l779GG8Mn1rcd6Hk2+Q5EUq57uclETdxMwUJngO9af3jXpOtX1LS8BgZuZs43mT73FUtlLu6ESa8QksffehaR3K9Mi/sCv1HPtXpTDjH49yb28Odk3Pknm6hmEzl1H+0dMcqFfz4gaw7ZCREreMoop0Glx0xGRkkNUtED4pCIddFjSn1/KBRxmfNP9EVnkw8SMm82v+VhIPxpLrHUdvzybMBHD2mYJJVxfvtf4dr3IHCmyHIjZ1ssfkQXYUNrG1PYOys6bUJ3dy2HE708QwfooO7O/QSiT9xsVahbariYxNLyLXjyBs3h1sKM2no9YPr4n2OIfHczw8jZGnodxnCj1KO2p6wbqwlDzn7ZzaN55432b87xlMd0MX9tkHec7fisHOg9h5pJgqG1u8Qx3IaD1BvP1IAoyudKPDmJ+MxigjzqQd9UgPenohuGQMDmp36rK3Ehzdgb2FHUlVY9EFBBDX8ymCG6xzW0AjTjjQyGy+IVab3t8h/F8JgmACfAyMBSqBk4IgbBFF8dwlh6UDcaIodgmC8BDwFjDn+l+tRCKRSG5U0p6om5TxQtOFOxKeoj1gMjXlTcwq2E6y1XfM8zJnWY8Hj7jJ0bt+zsdmC3n8YAVeiWMJ8rPCxNyE0vQCHp6YSHemKzVvF6E3GjhXK2dSWhz5Ya9yaNh7OCtaiLNMQJGfh4/DLk6d+wCPmEgKAnZwUvYhqrgxjNwTgPGTTJSD7egdlE2VY8TFWVVdhnZKvTehD1nPHoXAPzVVhIeNRLT3ZXBzO2+Xv0V38CDyXGxR2LagGliKXHlj/wAmkVwP+/YdpHFAMVZLezGzVtJx7i0OxIxgwOyXSd10gDAXPVvj0gg69xIjDz5K3LmtlFhuIczLhMOmjbzj+hl+MUvZt/JHwvLHM975T1ScWcdZ+5/xSO6gPm8DDT1qTjbuorO3DZVoCr09/OSUxp/VL5IV8wmFx6rJqtiPSbAZz/QO4z2zT6koVHCwag/lro3UFMcz2HCM93mI75nF+zzEYMMxaorj+zt8/80goFAUxWJRFHXAGmDqpQeIorhfFMWuC3ePA1JtsUQiub2JV/F2i5CSqJvUikP5fPDea2hlAskPjsTM1Z9Y8/UcqFfzt09hXO5dzN8zgSPlBpILDjOy5CFKirYSs2Qa1dFH+KB1C6KlF4OGvESLhUD6xp0Mzo6jKHA+PSp7EAQ6rQIoid/OAKMXoaZTGJg+jcZj+Whjx/Js41JKOq3ojVxMhs4MM5kpq9sfvzirapLHg8zxeYYCuyQ+cHuY6BNqZh8YQqN9Pb2Rqxhtm8oe90La5KeIsLCktcOJ14TX2agb1N+hlUj6nalvEqLbcoYM/ytZG/ZhnRnCK0ZLHE301K39jpOtM0l26uC1ZTD3WRP+8kAlUX4aDHX3M69zE18lCjRW59Ce0UxFVyPWAzx5J9WEMA8nRo5bSOMuUzwasqgxuLK1+nvWlb7FL9XfE2B9mqnhO1kQbkHnrs/waDfD3MGUJJ+dzEyqw3h0NaHN4N6VhWfFcIryktBqLRBF0GotKMpLwrPiht8T5Q5UXHK/8sJj/5OlwI5rekUSiURygxM432HwatxuFVI5300qRHOEzR0r2f5TPTPnf0Bh/S8c327CpNNx5EZMQU8BAU4BTCk0ITVoE8p8X3Izj+L/9WSqXO6DrbtJke1i+IJhdFe2k9t0gl7XKej0xeg7UsDYTq/BjLVmcxHDLdgyJpEdp94k90QqwYtm8VbJfJQpIwkelYjHXiXGYh0PGZuxujCr6hfTLDoELeeKAwlry6LVZTyNvfUMM+vmY/kjtFiaM26LGbbTjZQ52ePXo+Drgb7EWln0d2glkn43NtyFseGz6a6r4eSeLKwUvUQ/NprjO9dxaMAxNvMBtMKKjnW4CY1Uiw58qllKXEczfkXT8J89jq1rl5Bvl87UOX+hrGgfRQEWODg8w/AKgbaiXA5EneKuk1DuM50epR2WumrMKjS4l5egHtDEL9FnCPY1I7wI/LI7SU4O5qvQT5DF2zMhawyaxjSCZONJrw+hQ9CiFlVE93rT3Hjuv7/Bm4QgCAuBOGDE//D8MmAZgIp+aO0u64dNRn3YnNS3/VR92WN0ZefeTm3K+8LQlzblfTj3in8W79O+pj6cK7nlSEnUTSr6jtk0f7eFulwPagfVETPiCdqWZ1EUOB+jiRILQU1++HfUDXJi4FeJqBLG0lmZT9GeY/xxcAIbbB/l1LbdDB28D6uplhxvMRKSUYebUEmU2wLM5VZ06jVkpucyVbUSc9lKgoKSyCOXaWoD79i2kX12M8899iDfFTxPdd0ZJkQNIeNkBPnuOwn1O41S2cngClsaTGuxNIzDXZdMb7MH7TnNVPnbYuv6BJo2ezoDv6fRvIYJjtIqlERyqZ+O/w2rhkL8Z81Apujij80eTFDOQeUp8vO5YWzRDb1wpJ4Xyj6j0Ww0g6aPJLejkc1FQSQFKxkQN54D723jbrvdTEr4KyfffxljWxBFSSKbhFPMP3B+WG56UCJyEzfOBpzktawlJGoCifFbTN6WvcS2D6FDEcCwNktcPMdTdziL+h411J1lsu1QzOVWdOk1ZLSk0NB7w48iqAI8L7nvceGxywiCMAZ4ARghimLPf/qDRFH8AvgCwEqwk368kkgkt7YbY1zVDUNKom4yoihyrLiJwb72hDz2OiY/bCFn3V6Sn51HwyUrSVpjO9nGQXScM0cbFsmzy8aw/0sNqdWrmKN+lwiruRSnWXFmVQoJy8aT8Z2cUSYp2DkNuLCK1IUKBTON7Rwtl6HfuhK/ceMpbC3hbPsJ7mwbS0GhE221GnoGOPBpdwQxjnFUevyZuhCBj2Vv04gjTi7nmHfgdSwdamh0bsK+1ZJvTd7Goi2Qgxbu1GgsyEmIpFzlxKj+Dq5EcgPR6Y1UnzXiMK6X2AWLObD+V+a7biR28FQUFZtZFTYPsVCLoDWQYFpIYXwBKlkT7uFPcWbr01TGBOMXPYPqjBrqCs7g7zuKXsGWEuvDaJKKWNhs4MNQU46EmyAYRV5Zp6dea8JQmkiT7+XNgX/gkEcYRyrPobTWIZgW86zHK7znZkdd52FCy4+S5Rt3sc06MktMFYOJKEvr79D9NyeBQEEQfDmfPM0F5l96gCAI0cDnwB2iKNZf/0uUSCSSG8+tVIp3NUhJ1E3mWFETOd/PRxuVzKi7nqckI4Ms942o81V0cn4laYD7QsxMLCnMbqXQ6U/UokJhNwv7MVr+UjOFuuw8Hpn3PLVpf0NbXI+o0bMq1EBhTsDFVSSZsodTDKIgTyQ8ezJN6Y4MWxzDltUGckrlvDvzUfKWv0HxqWP0RC/FdccPlLknURooZ1XtPCjUotRW022ixqNzIT0WBqxj0zCTH+FH0ZIaoZKn3GZiZlCxVe2LQib9jymRXEohlxE7+xVCXa1prtfSc6SYgfZjGDlyKuX7fmVJyEo2uM2jESeOlVkQVD4RZ+suKjPOoU8N4GH3FkZOCODHD6Zj2jyQkEeH8U1VLuUdC5gwdjy7923nuYZVfGanplZuwpboUwQrj9DddS/hxSlM8qwnv0OPY9kaPOdMpTp/G8965+FmPQ+H3A3IequJLIEiv/PlgMqeZvyLt2CivbGTKFEU9YIgPArs5HyL8xWiKGYLgvAqkCaK4hZgOaAG1gvny9fKRVGc0m8XLZFIJP3tFmsKcTVISdRNJt5DxTazJlSrUmiPLCDp7iG8uMecg9tqmGtSh63TAH5SnAWzBoQuJ5yLovBoSyBz1SFC7n6MSctfwbZsL6YBW4idfhe7q5djzGxh+JBH2X/y4d9WkUQHfE/l4uRewx2eJUQKfoh5HfxD2EVN+1bM7Hbg6Z1ES4OWBTZa9tt/iqG4mnWt0xDOdSEYRe6SHUYtdlOstkbR1cghs6Wc7jDji9OrkJ8pomJJJ0UNeXwTNoJemUl/h1YiueGMDHEGYOc//kRxux9DJoZwpq0bz8rh9LKfN/2eQqns5JDHCEzMFPinD+XY1wfpbS9j6LSFnC6upMf2LC3jtNiHPo/N9r9ROdybIZFhPFWuQcgVWdGx9vy+KpWKz3Vz6DWqCSuYQVTCMHKOfUThpDJiRyfQtKoED7NAbHVn+HxeGWbFpszelcaQ+t+SJq0c1o2DG721hCiK24Ht//bYS5d8Pea6X9R1JvbHnKi+tLLqw7k325yo/tCXKi1jH745emMf/u2/whD3ZaubYOzDyX0JsrQCdEOSuvPdZExVahYF/4VWq+HsW7kHtdqTP1rZMN7wdywdzq8kRQ7+gewB9jQlltMVbI+FeQetxXXY6UTGDjVHOGLG4RVf4TMqnDSPwfwhN4LadgOlgXJW1N6N5pAR5e4aHtP/g0F1a+hMMiPLL5W0is3I4wdgs8OF2qNH6Ykvp3LgT5jby2go8qJjQynaQoGpHCZF8TgjrFfR5bqNUBt7RjtPwK1CRnzKfjR+M0gNXow6qAC/mI1AB+Ym0kdRIvlPSsrLSbXcid79ZyJGDyQ19xM09VkEVY0n5/h8Ug4twvy4G4lnh1HTu5We4nXYWoJndDifVaayxfAUkWO+pmDvCVwzB7GoeQjFVTuZ4/ATm0PGkST7GN+eHxii/5b13hPwrDWS15SL3NuCJ7oTSTW+AoYgGsrOYGsp8M+6OMzqZxDqYuCbO6DB6vzPBg1W8M0dEOpi6O+QSSQSieSqE88nc1fjdouQVqJuIp9uT8XL0YqJk6fScKqNErNSijKzmZ88hG9+8aci4BB1IQIfyd7FLqOepPbDtEdZY9PpQV7oTozZnYyL/wPf21hQltFCdEsbCVYTmdE4ibIDU1nX8dsqEogcbnHhzjN2fDAuhKTYIjZqPfnRIZGNbjpyT5vi8NAIXtubiLHKjEFOD3O2vItpuoMk26xmiZ0arwIz5m1RUznmOKmO6Txo7skJ2xWozK2w1xdy1nwKH/aOY7feHG/T/o6uRHJjapdZge5ORsxeQGtRNcrTtZR31UMdTLYdcbGpw8n2I2S5+BCQnMGE+XNpyqtmYO16TAYFMNzPhe/fXo++t4kh909ly8+f4GLUXlYS6EAj45vfx7e0F5cp42lqLmKI7y4iHGNo3bcendYX78homjtP0Oo/nI4DckY6reK1ZefLAV30Bh5s7uBA12IW93fQJBKJRHLVSQ0rLyclUTcJvcGITdbbnNGfZYDfVgKWjOZIzgs8W5bGN2GhTFq6kg+qX7+4H2mQ4SwNNS20NTrSPqGcw9o52KbUERksY+DkSCrOlJC7/zQPTE3ihd02xKzIQRszimkc4hnF+bbJmfWxHHELwbe4g574hYw98g6VboG4OXVi263E2ySEF4ofJFjvhTJ2LD5Vx7Cy3ciBOjUvbgCZSQCnQ6fQa/Ed5WGx7FFbUrPFmrCJQYiuTvgpw5jnZsBLpejv8EokN6woDxsCX3gHlUxk7Z8/wb3bC53cjfLOY5R35lw8Thku4+eAR7nTcTo2TlH88t47BAmTiFk0ktxzG+lu/hn3kGhk6k7et0hkUZEaRyGHN33PlwRqtRZ05LqRPrmQpfPfpfHXRvwbTBg1dRgb5I/RZl/BaLtxTCzcjr97Ig8EDL2kHLCJatGet4yL+DVk6P/ybiQSiUQiuTVc0yRKEIQ7gPc5v3n3K1EU3/i3558E7gP0QAOwRBTFsgvPGYDMC4fe9pt65SYy3IaMxPJlK7JadzD+zceoL1vG8H3vkiZqSJ78GOvO/raStJ/BDNGY4aIX+aoojGfD7Kg0PMmJvWe5a8pHnNGt4mfbAPwZwmL/F9ldmHXZKlKt3BM311qeynPGU2nGYC8db1kdJL3MlMEjlrK38HNcNYloPWvY0FzAWxOepjC1gOya87Oq8sOm0G2iw4MsCooS2ageR7xtB1H1M2nr1JDnvZkRBPBKYEx/h1YiueGZKUzILdqNKvsIOu8I3BvyKXMZSa/uOBjbMZHZYG0YwDO9X7FgyIcUpO+lpcyIzkODdYgbr33cSExCPYlzF3Jmaw732awmuGcSqfW9NDT4AdBjDtvUAwnvbMTOMoh9R9fgr/TEzNEVqyoVA0IG0lVeS1D+PJwDBjDb8Z+sYh6bC4cjaA2IKhMIUrHY8UdgQv8G7GYiXHkps9CHc8UrPbUPe6L6tJ+qD3uMrnhPlCD1c/6/MFzxhwmMffhAicYrPLcP39Y+7ae6FcrYboX3cBVds40ogiCYAB9z/l/TMGCeIAhh/3ZYOhAnimIUsAF465LnukVRHHjhdlsnUNpeAz16A8Pil9IY5I9MK6M5u4zX4wbQYF1I6XebaC8turgf6YjiMYqV9xLkehJXL3em1bcweUgCdllB6Ne40tnajRjzKB1Hlfy8+zB+08cTbmdLvM1GDtSrefELWPOGgRe+FslyOEVV0iZ6LXQMPzUA12/lqCMFssPtOaxLJ7Ehgcl7hqFrasIYc4DB2XHkesfR1rMJk+6tmLqEYmkWyHtVb+NsbKHMvhejVQulgTYY1BX9HVqJ5KaRvjeV3OSTBD8Vz/HwNELK0rBWTkdl8wSmimHY1RsRT5phonAg9eSb1Fj+QMySGCorjnPMw55fw95FYRVOx9E8Qk9MQtNYSJIuELVRBSJ4KGoZG7GPUYYcqk7vR99ijdrHn/KODF72+iPHE18k51glWdWplDrJ8CnQs8RlJVbDZfSMc8VquIwlLivxKdD3d6gkEolEcrWJIBivzu1WcS1XogYBhaIoFgMIgrAGmApcHGcviuL+S44/Diy8htdz0/ohJZeelDeYu+x1Jt4/m82HllNeWMy9of9grv9z7D9bxd6vdjNNLCfZZjUL7dS0iR64uFUwXbWb4w7DKdF2ET7lrxTv3k3+5r1MWzgRufX9FJwUaR9zAPX4MM7t/G0VKUNhhVyvxalqI8+4PU15sQXD4hdSlrmfUK0NZ3MTqc2D5ckPkJr9Pk5lNRxxuZtwxwxcTWqIcluAQm7BkYAPcGiVkSIrIkpxiEH2ibT0+LBSiCdYcCWiv4Mrkdwk1LHzcW8Zj59PNKEuBrbGpTHz0PlBuY324RS7+aKMPc2+6hwO1A0nYZAMv8B4DvxzE/c5bOGOcX8ma8sXVGpMiYyyp6C89rJhuSV1dVi35dFaKOdoyCqKbNNJmrqKvCOpvOSwg6ler3A8Zx2BBnusu3ZDxeUdAnt6LCgvjsGz4kbvzSeRSCQSSd9dyyTKHbh0qaESSPhfjl8K7LjkvkoQhDTOl/q9IYri5qt/iTeHOHkOKzXp7Pz2L8x++hu6NUGsPuOJcKaMeyfPpib1c1oUOgaZn9+P9Pc10OQwGouOM3w1W0FgURGpDV8wc/YfKc7LJFOxnlCG4uowC8UBHZU/HCdyYTzV75xfRert2YSsuwt3ywgKtQN5ofQd/DQiIUP+iqolCbG4k7eUWynX7MHaZSuJ7klY14KbqQeOyqOXDOztpsBpKEY7K6Z+Xo5zsI4SRxEPg57DCSG4K6W9UBLJ/9XkWF/Al8JtOzjZNeuypg6+9ecYw0mKOxcRn/Iu7QnhjB4yn5pThVTlncG3Kxk7xzB+blpKu4WOsLu20rRpLWUuvw3LdVR50SU6YtFRQfY5Z6KCBuLtHER1eg7+qnmYRJpxNj4D/6BRyNOc0DSeIUg2nvT6EDoELWpRRXSvNy1N5/7re5HcAK60xXlf6lf6Us7Xh3OvtJxP1qcSwis+tU8M4pX9mt/Qp2/OlTP2ocZTvMJz+9QcoU/n9qU9+g1SRieV813mhmgsIQjCQiAOGHHJw96iKFYJguAH7BMEIVMUxaL/cO4yYBmAl5fXdbne6y0w8U6Gf3aUmnprqnJKGBe+DJeUcZTt7kQTdoCYh2ewIfUBSg6fX0nKGnAXSk6hlU9j3s+ZZI3bSf0+Ne0jZ+A+xZznchdTnVPGk1P/xNr9f6Mms4AIYRxVjhEXV5FUcjV7rA7iUa8lW6ij9ayGqIkWFARvpMvgRmdQCL3LT9CSUEm21zkE8SRPeI3ksMNvA3uVyk5Scp+mvsmaSXb30iR3xSJyNXq1LwHm4/o7rBLJTcdoMLI+/3V2Brxw2YynRqx5zbCQbrk7tjk+PBZkQ4CFA5/vuAeHxigilg3hQH0uOS1jiEnyRGgXOB6exsjTUO5zflhup74D35KfSZ+ay3q3v+EZ7kLDmXKyqvPwjQtldbOCnrZpOLkson3vDqoNzpetZHXpNWS0pFBt9OjvMEkkEonkWpByqMtcyySqCvC85L7HhccuIwjCGOAFYIQoij3/elwUxaoL/y0WBOEAEA38LokSRfEL4AuAuLi4W+rbK4oia06UMnGAB4EPLMBiaxbZe/cz9pF7yQkYRsiKbrJNtjLk6UXUez7O4Oyvz68kda/H33UQDREn6TEPxOtIHa12Y0n9MZVBT8xn9pbncK88hip8G3EjxnK4dS2559JwVHZctookjy5F3+NM9OpAms0TaSvWcsJrEmltHuwzs2WDvQ2aYkssYnvY3uVIjL03FZ4bfxvYiwNP937AFNk+9ljcibwjk6MOc7A2VTGyv4MrkdyEGjt1qNpcmRO2mZX/1tRB5avnub1nqVH1MP3xKewpqcdaVULLBBH7uEDaN/6J5sGeDE+ayolPD15WEuiggSZL2DBCxoC26bxg9ymzvD/hp5S/4FfZTdyj06hq/4IdQ6NYZqNiZ7s1FjhRLQoXV7KQWSJXDcUCp/4Ok0QikUgk19y1nHB6EggUBMFXEAQFMBfYcukBgiBEA58DU0RRrL/kcVtBEJQXvnYAhnDJXqqrbWNtM3FHs3Hdf4a4o9lsrG2+Vi/1/yWzshX2zGDnumWEJA1EE5nDtwFNpNZmMWXiX6l3t6GzUkNnZTN/CE+6uJI0yX0B7naWfGY1na3BfjRZJ+NjC4YOHeZdPUTHy+CwjNRt63Ce6E92qDXLm0qw+tcq0uAfGDp8NTsax5Ce7YnWeyS2ykrqMk7j0OLPk2kf02ZmirVpPvVFqZSYL+P0sUA6myzPD+yVPUCj4ASCjN02cp5UWOPhEcZwx+m42ibiZBvX36GVSG5KTlYqht3zOS6F3b9r6nCfcTltbMUnyQIrewf2VKzjHbNX8bljNeVn8rDJHMg9Bc64y5U0n1zDya5ZJDt18NoymPusCX97AOJVtnjUORDRshCDzAYLTRp5UzIwCwnENFXBPZWFVGhPompegWPNFhRyP1TW96OyfRKV9f0o5H441mz5729EIpFIJDcdQRSvyu1Wcc1WokRR1AuC8Ciwk/MtzleIopgtCMKrQJooiluA5YAaWC+cr8/+VyvzUOBzQRCMnE/03hBF8ZokURtrm/lTbinaC4XelT29/Cm3FIAZLnbX4iX/z6JczdmuUxK43oyW6AKCJt6H8OnPpOV+QOJjHzFu0Uy2Z79H49k65k3862UrSRpDD0NzywgyW4ODbTKukxaxS/cpJiVG7oh8lO+tXcjd10LsFBdqWiYwOusLKjzNLltFmtO9GXf1SrosQrHqnkmF0MLT/jU8WXwOd30qrn6DaDK2M87YzDjhMbzb3+I+0xnoawwoCmoRtAZCKtXMLA5ix8xu8vQHeMlnGCqVql/jKpHczOJ87NhfF4ojv814Ku/x5kjVWOLC9zNqwQPUpRfjnZvJH/zqGOkzne3vfElNu5bR0+ey7UQmLbEZ7PR6+LI5T1WiPXtz/Mm30HPXmHjSWgr5oPcxkkKDqcgsxbXYBuf4IIrOFaMa3sTx6n+VA06hR2mHsqcZr9It7I9JY2p/B+l20ZeNN1e4J6q/WpwLfdjIcqV7ovrCpA91TyZ9aF1/pXui+qIvbcr7sifqikPclzblfQnvrZA83Arv4Sq6pnuiRFHcDmz/t8deuuTrMf/DeUeByGt5bf/yWkExWvHyMGhFGa8VFPd7EoVcyezBb5NSsZ1Tm1IY85cl3OWTTfmuHI5v/55Bk5dQIwbzZVYANgV1v60kXdiPVFtnimpVMHobgdBhYdy7bhGF2TkMfdSZwDA7utsEWgvr+ThMz98KT2MbOOLisF6ltoY9ahdePxhETZiIfFoJmUYNsTaJ3L09CuumMppHmtNhOICdvQ+vd9oS05BFS8udzMzdxjOytbgrG0lxmMIp0xGIbkU4O2Uik3UCUhIlkfRFVI/bZTOenDxzyY32I6DEDaPCkp1ff0yAPJa4kVNoKs3gmHwtITZ+eEc8z592nabD7BXmOF5eEuijqiYi/F0823JwC/4jp7d8RnRcJ4/EJVLy3gaKOiwJj4vg0XxTus0/4nGXJy/rENhkBRuGQ5yToZ+jI5FIJBLJtXdDNJboTzV6k//4eO3/8Pj18u66ndiZ9rJw8niKT5VS6LmdqspYRo58nq3bN5K/tZYBozoZH7CU6KNjKdymwtwzjLoQgQ9k79Ii2uJiX8P9bidxkcnoadazXJXDvt5Pycw0J2T6ZDae/QOauiImD32WySRTR3QAACAASURBVC9F87j3NKbl7uIZ2VrclI1UdjiwxfUhujp6qHKfypbNxQywd0cTkIiyW4+ZXwLPnxzKGsGPWaeGYKGxYJb9NkZYfccSOzU1ck9iyguZ1RnI3s5IvhXuYbTRErd+jaxEcvPTNBaS5BRGumkZHYKWtspglrWewuycOamnfsC2qBxdhDnWQW7M23SO8XaODJ78OHVnKxjV+ituoX7UFXSzJGQlG9zm0YgTtaUyHqmwp8XDFU1TE+apwYy01+I03JPPzDZhbi2gcpzDrNIVOIZ6cfTg5R0CXfQGHmzu4EDXYhb3d4AkEolEcnWJ9GlQ8a3otk+i7MUGmoTfb4S2Exv64WrOE0URr9ovOFuRTWG0A77zvHn61AwOHC1m9ey7CBrmT119NZl7D5M0dQLfOA3Af52KY0+JrKqdh1DQzcTeXzgpDyfHPxiVMp2M1IOEjJqCdkU6DUUNDPrcke2Fd9NyppvEgaCatIjxhSkkX0iAauWeuOgNPNJZja0qFnuDFZ8Y/oBr+WKavPxRdJpT3+XH09kvonG5l5qgYGQm3cSabzg/sHcDOGgMdHl7UBHvxfSG/Sy+czpuKqmtuUTSVw096ss642kNnWSUH6ZKp6bnwFaKhqZz7/2P0FBZTaDFZg7FzWZB1HA2P/1PQhlB/LKJfHl0FY7CbyWBazzn8b7Zg0zOraDwl9OU1GQQGTuWlHotrt0euMXF0plbhfvJ0YQmDOSvAU2XlQNWi/a8ZVzEryFD+zs8EolEIrnKBG6t/UxXw22fRN3Vu5FVpveiE34rMVOIWqb2/gT0TxtuQRDwjp9D98Ecsj9MZcryx5j165soNV9SkCcnbvEkVu5cwpcyc77q7mDulLdZeeR91jUkMS13F8/JfuQ7M4HYHhn5XbPIjdbxXRdstvKha2ACVq1dtJVUs0yppkv/CG1ZtcSNn0/5D3+8LAFqUcPRsW04BK/FUe/AzkYrPM+kER6WQEbDWmapPDjgcoQAvQMDPOOQtypYW/vbwN5MpR1GkypsgtZQVaLhhf4uj5RIbhHuDVmXzXhCsMRUORilz2neslrAeKd78HKOJOX11YQJbtwzLoHyipMo8spo8zAi+Dn9riRwgFMJAW1aorWhHMp4Gd+mMKKTY9lesop3Qx/l0+FBZK44Rkd5AeKsEcyWf82qf+sQSJCKxY4/AhP6N0CS/0q80jlRfRkn1IdWVoKsD3uirnATjEmfNsDcXPoyhsjQh+FhfdoTdYV7sfptTlQfPk5iP+x1k/x317I7303Bp0DPEuPnOIj1IBpxEOuJEtPZq59E73UebrY5vYrEf+zF99lt/PGAAzInE0wVKtqLa5kzMQG/w7Fkv30KuUKBPuBphqWlkLLpn5g5O5A8cdzFlaS7vVRYZAdiWnQvSfK9pOVGsezcB5Sl/sLwu8ZREVjD2exDjI4PoTXdnZKv0zB3syen1oRJaXHkh73K/hEfkTHgDYJrOvnE4W4OmaoY1jQL27IpOEa1cCAoghxVNyN2emCxswmNt5pDtscYnH1+YG9bzya0re+CyTq2uo3Btjv4usZSIrmVHQ9PI6QsDWvldFQ2T2Ctmk5IRTqmSg+WOq3n5XER1Odlkp1Xjaxaic+AUNL27SA9fie+D3lSlr3tfEmgLhC1UQUiaGtDiNfEcrq7Di/XekwXyJDbWNO1T8vzXd8zxM6O1txV2Le0YOfYhXdB7+86BC5xWYl3QW9/h0cikUgk14IoXp3bLeK2X4nyrBhOL/t50+98SUtPjwWHe0dRYaZFpx+OqcLyulzH5vQqUn76hI38QKtlOzZaC763exBdQgrnyjQ8nfwEaZFnsdHKqTyaybKkCP5hn03X5nIaB2fjMyWe+NKlF1eSulUqhBg7aluTuV/1BtnN5ug2fsOc19ZQqRFY16Vgo8oJd48HqazLpaGs5mIC1NuzCbrbcTHzJUM+kAEnsimv9MI11BnTgiKq5Y9QcOw4pxVu2HktRiOaExKST5d9JVVnBlwysNeSPAsD7+otcBWsr0scJZLbwaUznv7V1OFoZCzRtY4MdB+ChYUH61OfxqirJnjaw3R01/CmPIYwB3fCwuZw7O9rflcSeH5Y7mEyx7uxqfpNPh0xjuLThViViDgoJ1Bd10R7RA4yT0saM3SQ54Ez5Zf93VleHAN5nv/9DUgkEonk5nMLJUBXw22fRGkaCwmSjSe9PoQOQYtaVBFm1Uio3SHovQ+u0xaeM9u+IEm9isX2akYeccVEpiQo+BOWNy5nZvrPlPkUcMcDc1i342Xymgt5RPYGswL+wp7TeRz5NoUpr4aeX0m6UEqnU9ii8NpMs2cn7WkyBvfOpbyjm7a6NjT6BSw89VcqPb0IuSMYy91K2jOrL86ZinJbgLncihOKXMI1XTiaraQeNRFBn3K83YBbo4YP5X/GpWEOmWo1YoeOUxZ382FaHO8pd11ss94p60RuUPBhSiCd9aXXJ5ASyW2gWDePZKcVF5s6OOkNPLKxmSqrNoZOH0luay0Hy6KISVARnTyNI9/v4W6LNSRGTqEj6xzFZcV4NhRQcmlJoMwSa4uhDO88xOggb2JdZrDrvT9T3xZAdFIM6zVV7O19ihlhEyjfvJ3eFgtMc93Irg+iS9BhLiqwbe6gt9Wiv8MjkUgkEsk1d9snUXX/4bexVZpadM3R1HbBi4VFvBvihYvS9Jpeh5/iR05VJTM7Zwo9JiIO4jkyS3xY0vMuxW3dHPnmZRa8+gMNA+M5cBSsTxezaMIkalLqqTFrpLa46ncrSfnKYM6UxhPVGYTPlKGY7y+l4UQBf01S80pKKT3HP+KeRSs4VPEhFTJLHJVOFxOgDqEb+5gsrDUWCNs9SGywpPuNDvTKdQhqKza0WeHcUMw43/spq63ArbGXN4vfxcph6sU26walEYWhl5L8RPx6R17T+Ekkt5OBdy4j5Sc9KzrW4CY00YiaD4fm4ekZibmVisJ1n9ERbUVk5ENo23spPZxKiM1Q4ifO4MsNd2Nf14Pgk01IHpT7TL8450nZfgT/nEmERg5G095FpsMBdKpTOMY8jvO6D4gYJHBXwDS2F7bg3phPmUkcJk3HsbyQhHUrBuPdkNbf4bl9XOmsJ7jiYn6xD7Op+mH7CwBy2ZW13Zf1YRPLzbZXwtCHABv68G77tCfqSr89fZkT1adzb/JVHKk73+/c9klUs20WRs3lv41VmbhiKxepbw8io6WTrKYuXNyu7diq0ooEnDVxtOs2YWliii7KC69eF8rqdMRp/GhrllGZW8zMwBm4H02kcasF2oGH8V2UREr5W6SVbifgwkrSAPeFmJlYklvaQrTt09Q5WRKY+AeONX5OhrUVD7kuZ0zhOBoq3BDvNuGM/zS2n7PjU4eqy+ZMPVv/Bp06c14yLyfLrRpLhYoX21/lEb0l4/PHI2u0oXluFnqXbQy1sOCv7lnEGGwvGdjriELew5KQzzHlEHD3NY2hRHK7mBbtDjzMnJ2jqW7txsZMzp2qPObNepCa/DLM03xZ5NTGsDti+XXTSyjrdNhGWdEg9FJZZodxZD45nTOZyg+Epqdho4E2NZR7zuFcTSHJsQv5OvcMRe0ziR48gq6GVhwzYhltK0eMqCfbZiMG554Lw3anS8N2JRKJ5DZwPRNBQRDuAN4HTICvRFF849+efxK4D9ADDcASURTLLjxnADIvHFouiuKUa3GNt30S5eN5grwq8NZMp1dhh6mumQ6TfFqMrsR3mvA3zYs41D0J1ziJsmuJwFnxr71EalYE/sIvjUOYWOlK+OLB5B1MJStlF3fc/xA5+kSMuUEUbjxG5JxRHM+ez/isr3BUBmPnNICfFGcRzOug0xm7PHd8WwbT09DCWa+55B+pIT68G9NhcfjktdF8roAkIYgp9XMp9xxySQLkwPzKNYzr2U2tazRDusejbLbkkawPUWsTafBxQKdtRnCL5p2ySOxlcqatteDQc3JWyX7rdqhDxQrZAywO/Oaaxk8iud1Mi3a/kEydH4vwr26iKZ9+RXmLgqHjJ9JpEKkpzKI5sYAxS//EuRNrORw5iDk+U9iZbUTQizxzx/kW5ceVlpyp2USm3wQeQsQ882N6kryZMSyKsnVHKawpJSpqCCuKFQxwNqNb1SUN25VIJJLbyXVKogRBMAE+BsYClcBJQRC2iKJ47pLD0oE4URS7BEF4CHgLmHPhuW5RFAde6+u87ZOok12zGOm+is8i0y4OjJydqcPztCPK7o/oSluAGh82ubXgpJAz1PbaNJpwVnZcUkqnpTQ/iCf1f6bVwYugEY9yVPM1n+tG4d5Sz/C73+Hgyx9QlVFMxPRkvhxoy5u5GQQ73MnG0FIOesTT3GWDWtXB4gMitqY95B9J5+4IZ04LD9N99hyDxj3NGuMrGKpU3Jk0mNfWK1DGy1lVOw8KtSi1NVTaVHKoSodFvAWdXbuI67Wgy/Ewlsp6IlzvQWgT2FHjRUjKLmzHjOZkwHP8ZGpzWbt4AJ2g4ifTGbx2TSInkUiEC2VdDZW57LPeSJDoQ1jy8xzJXs+Hzvdxh5caC6UDnTuMPOBUyKTkaVTXP3NZi3L/3irGOaYQHdJM5dlcHM4OZYG7CXbjHPm8+V08NSrChi0mrWg1rwY9T3Lu8f84bHe/NGz3/4vQh/K4PpXzXfFr9s+5fapcvMIaLJM+9cK+ffSlJM/Ylw/FFb5unzrX9yWJ6Mu517lb9A1gEFAoimIxgCAIa4CpwMUkShTF/ZccfxxYeF2vECmJYmfA0N8NjNzoEMQvswsJVzVhV99CUcVpltv14KfUMTR+xFV9/RV7MwhzNsfKIeCyUrqETjOKNzpi2z6IzrpWzEOfYenaBzjbtpeo+7/AMjGE0w6bsS20JyH0LiZUT+CXxBq2yhLhkJbpveuxM2lho/c0fM3TKOw+wpTw5yh6LRTt6Q7MV9mQHeLCrwYl6+yCGNIwk2ca4pmWu4tnZGtxUzZypsCb7I4HOFKrpyyhFUvbUhIOB2CmECmZWEGdKpu7jUFE2LyJkyIUmW4XTTzyH99ns+B4VeMmkUh+L6vdFjfZQOLv+SO9+l6aNmt4xHc7s+PeJP/XXyipb8DV3AetTH5+vEPISja4zaMRJ4p1NhTJyknIryFz969UNbUw+q555Gq6sehwxDhKgYWdKw4/ijxtuY/XAsb9x2G7O6VhuxKJRHILuq7tyd2BikvuVwIJ/8vxS4Edl9xXCYKQxvlSvzdEUdx89S9RSqKY47iZlf82MNLGspuldVsoE0Mp1Zfg1+HOEz2fYtHRgdE4DJns6mwZ1fYaUKe+yD6xACfPJOpCBD6SvU2T0QF7dRPL/LZi0+BAzpbDzL1/Iq8b2wnaoqd1eB4xswbz+AZLSoqyGRhoJOyhh3k8o+hiErTPooeWbBdGak05k6Rgry6ZOG0v8oAZtDUW01bXhKY+iTvyvqEtfjwmUY4X50wtsVNTK/ckwtKZO7OKsK1XcTA9Do2XBxNdzdEbZViGVpPTZoON0pSCXFu8R1gwwH0KTuioR/m79+oil0p8JJJrbWSoM+FPfIOTlYqcnw7QUVqOn2IMVtaurC79CHmPnshZb7G38uDvxjvoRDPK8uPwroxkj8kKQpUB+A18iYOnv+Tr0EX8OcqJquwKlAUirkHRzPH7/d+dBKm4Wxq2K5FIJLcekauZRDlcSHL+5QtRFL+4kj9IEISFQBxw6SqHtyiKVYIg+AH7BEHIFEWxqA/X+x/d9knUsHOWmET+9ttYBxoZYMjm7aalrLTSEFi5BaOlFeqCqbQ3ddIxvJdjXVrGO/R97pHK1ATL8AQiP/bgxJMG2vLd2Fn/ELY0oRGtWG6/FLV1KakuZUTqkpgW/jdOlx3k5E/HGfvs3bwufMax5o1kpDsQH3cP4zd9ezEJ8i10IUo+leiu0/yQN4Knet6hyrqHmGERHD/TRkthI8/5FPJB3hkiyrcyMGkkLcemcKoqmZk5U+hV2GHRW4/aXUucUMQo4R/YNLrRoh6D0CWysWUK+7NqeMBag6JpEYpWIwfdf2K+cD+fCUa0l0wwVwlGXgz8f+3deXiU5bn48e8zS5KZ7AsJWQlZCBDCmrAKAhJARRQB1yq2tNqqrbUebWtX/XWxyzk9be3p0arVWnfcUFEEQUVZwk4StoSQHbLvy0xm5vn9kRwkgC1kEiZD7s91cTEzmXdyvzPJ8+Z+3+e57yS33y8hxL8XGeQHTgdv7/8RKTXjmPLQVyisP0pOczajZraQMGoKW//n/9Fcq89q7zCpawR/C27l6q4wRi75Ck6gY52F70WtY2n079j84Q9xVoWSeMNIZucdOGvsXOF6jpm54bDI0++CEEKIQaxWa535L75eAZzedDCu57FelFILgB8Bl2utbf/3uNa6ouf/IqXUx8AkQJKo/taUZ2G2IZJpqQ9i9m2lyxaAo2wKC+I2E93xEC9fe5IE33ZGN9gxVTbw26Iinq3pYPv0dOIsZ19xOR9aa9buKeWqifFkL3qQ5956lPZjmnmtT/G1uAAcrbEsOBDMTJ+n+CDlG9gPGHjaksudS2ZTlF9McdQmmhqvYlL2rfBqC8dOnCBziibL+tqpZrvWThv1C4JoM0zjNv2fHKoLpHXr84z+5l8oMh/E5dfJ/GFXs3D3cUyqBb9vK4pf/aJCIO0tdJiCcExqhRoXByp8MbW2MC1uOCca67mp9kPuavkn7Yl/oDzgI8ZGtFButLI6sYhUy1X8uugEFbYuYn3N/DApmuXDw/r5kxNCfJmyRhtRRjOdS1oJGzOGbX9/nJDJ9SxMXUTl3mNYD1uotBnOau+wt3ELGTNreLbrLt6aeS01e45wsqSQSNdErAEBNNqOcGJaBYun38eulz88a+z0KVhMfd5Faq4n3NPHRUZulSl3hxvrkwx9rGltdKOes9FD75Orj/vqjSXO+3xRxEMlzi8JF6/E+U4gVSk1ku7k6SbgltOfoJSaBDwBLNZaV5/2eCjQrrW2KaUigFl0F53od0M+iaqyBcD+BsaX/vLUHxLH2g9hLssiJCAR3+arydUhjAiO43B7M9d0bWG461382h4By6Q+fc+cwhN0frCUd/Lncv3tf2Tuzddj3nfTqQTIrOM4OG42hcX5TDK+TbupDce778H8zQQstfCnAyuoOJDHz+fMY2dGIpFdodTmH+fQSSOzDmawK0mhdRtBI3IoTvbF8JkP4xuup77JTHDwMN4vXUp0Wz3Xf2MsTTEmnM3NZIQk9aoQaDUF0eKq42aHD8GBHXy/vIAu/GibsxPfrnwKbcls8HfyExzMj15Iud94nlOxTLXEsXx4mCRNQnhQfLg/McteYPaoKFpqWnDldLAoLImsBfN44c1bMZ1MJr699Kxmu1HWKSTkBvLLMRYCzWae3/sIMSf9SLvjciqbjvLn4G+RGmiiq1lTc46x80DDZ9TYAzy9+0IIIQbAxSpxrrV2KKXuBdbTXeL8Ga11vlLqUWCX1not8DsgAHitp7jS/5UyHwM8oZRy0d2y7bEzqvr1myGfRJ2rT5TROIZYWy2l9cV8PmkeNQ4Hq07mM7FgPaaKe+jKG0tTsIVGaydJFl8MF3hGb2pCEJ9WmUnYCe3zTzDyigk89b6RJXsyOTp2KZ1mXxKiyrAExJBbfYA55iWUNYdy5IPdTMi+ie++fx2NJ0vpmraN2bev5O2c71NWVsbYoxkYYpK4uufM8t/9Sji6t5aolkiGTRxBxEnoKK7l57zKDmcOTscVJCVPocJZiqnLeVaFQIvLl+V51aA1rZHRtDaV8gHLye1YxvPb3mf05yNpfcjJtrBd3BY2i/djRzEx0DJAn5QQ4kIsGtdd/nz9O49RV2dh1Ng4qh0OGmxN6KnrCCxuP6vZbntHKf6FNtLvmkdVh42OaguVC45x3WWXs33Nx9wauoa5I2+mcvunxNfknZWEmX2mM1Ka7QohhHCT1nodsO6Mx3562u0FX7LdVmBg+xL1GPJJVGLCDo6U9+4TVW/eQGvLeAKq6vh6wl5aO49gmriMp1YU8YC5kjnVE8gtKuHbrR38KDGUbyYmntf3sjtc1LbaiAkJYM7kn1HatpPtr33M/PtvZnp+Jq1p2cwOtGI1BrIxeSN/MsxlRYWBjK/fDf/YSMnRHNKvnoF/RCwh76RxOHED4268lg9Lr6b2ENwT5SAsMp215lzalA2/csU03+fwGRZNzIzr+aj8UfwbFc6ANKa86kfjtEJs0/PJc1Sx2F5KUERKd4n02CzqVBjhrlqu3/cAbSYTifZHUJY0ag/tZ1RNBeWh06lMi2V8zB7CrDvwD+piksU6oJ+VEOLCuFyauoZ9nBhVxJLbP+RY3ps8n/g1rhoRQKHts17NdhsC4WRoMCVxcQSGh5K345+8PGYpNyT44zKYKdy8nTS/WaRdMZfX8r5JWOLus5KwhOK12NNyPL3bQgghBsJFbLbrDYZ8ErXPfyWXndEnanlTOyVHPsM4YinjyxdRUTKOzuTLWFD7Dtsc47HXv0dy+RhWRGwkpdoIiY/9+28EPPPBNgwHHua6259myi2LOF5xhNzY98lsvgIS5hIcZuYdcy6tqpPak6l8x/lzmkMjiRk9gk2Z+3jaMJWkhjIWZT/C+zsep2zPCcbdqPiqXySljjsJiniUo7HrGZu0G7NvJ+0dvjj+dyraGEnQfUE8fnQ1k1ssPBqfyUexzxBQ3MWhySv44N2DZCUFszG9p0T6lu4+US1+RkYcSCemuY7i1Z9gszUQazyByXCCiMYkrJY2XjFdzQemBVxnikSuQQkxuBgMCib/gslWI+FBcex7s517onexZP5PmFlCr2a7NQRT7evijai7ud/ppPVtB/dEb+K6+b+gvGwPlrJi2uPaMQf5sqZ5HiOiR/ZKwhqDoGNSJ+ujb2GJp3d8qHCjUqzua+Mld9r6uFHY1mBwY01UHxeyGNxqKORd3Or15MYH63C58UPhgTVR7m3roR5T/UUzFPtV/UtDPonyT65l87Gv80z5P4jRdVSqcP4n9AZmj3iftvoEarpqqCvfR5gpi5+n38ddkbVMqSlG788n3ZJAlSMFnaXpcGmsxn89GEwJO8z+PWY+sz3O9Y/8N8FLEvn1Zyk0bPqEGeGmXn2i7B1Wjq8JIqw5i5ayatSYe7n19bvZ3VLAbat+QcCYRIriN1FzchGXTcviwz+kUrbwU7YGJ/DbnJW4OjXKz8ADMVsZgQUfeyAPVv6JwDoHYcufIz5uHIEdimxbPdHGBxhX/lMeMkzs1SfqhCuc14Lv4nCID8diw2jWDla8/AEBjUG0zArAHuPDwymjWNjWQbB5yP8oCTEo3TKve+1mRf4+jpdXEdScSGDEsLPbO/ga0OG+3BH3CpU5YzhWUUyMI53gsFBe3HwU58xPmDb7RzRV1jEucS9rwpb2SsK6+0TdzPqU2R7eYyGEEGLgDfm/fGcfDGRrRjGLR/+VWiKIoJbFzrXcW/wHFo4w8u3cUhqawolrOMlPLH8kvDSD7VcX06FaWNZ4M66GTlYfKMTusvH8xHTUOc7uOZwuTEYDkyfezH7/SozVFlpq67l8zHU8sH4+xVtrKUuYcVoCBAY/uCPyc5JCYzm6YRe3fmUOj9W2kJhbhn1ZE+HLRvCTTTdRnl/EYwuyYewyNgfWEX6kgy2Gb1Mb1EKY3ZcNod+jKv4gLVV11NnssNcJXzFSlPkBjT5hZA7/Oq2fRbMv8hiLio6ztOYlSvb60dQcQ0MQjM3sQBn82X3AQrndnzafazBE+uAc9TYWh5kY/9tZ6t+3KoVCiItn78GXaDZ8xpirV3K8/uBZ7R3CqWWl63lm5obzlvVXBDR3kvKte3E6ney3lJIb+StunHoth19az6xjE2hO28dboxee1SdqqWs7sNjTuyuEEKJfXdRmu15hyCdRTXl+Z5XpNR67gsT4J4itHk1dZgJbjr9IijWemL0rCTVaqYiOoL6sgLJAB6VVRxjR1syBTgcZH1dRq0OJUI3cH+NkdVo2Wmt++8w/GeZTxzdW3c/k7Glstb/Ilt3vcNWiVcTHXoXerfgw3daTAH0HX2s9NmcgfzbdwbH0XXweUsoUn0VMCP8mHR2VHN12kPGXz+UH9XOoqu9Ez9vFzOvm89kH/+Campcp2euHxRZFhamLkKUv8vu4/yDAdJRxztsp8CvF0an4e+ftGNoNbOiIoiP4FuIq4lh04mFcRy7j0Nilp9Y4mIbtoo0TrHI9wzBl4VjXPNpDTPzBcg/TrG1c5ekPUAhxXtqGfwXfjC4yZn+T3S+9dVZ7B7stAN+CxZQUWtgWM5PJM3IYM/VKKvMKmJXfwsKwUiItFj7dspYG2wiucSbiGruNT2ZnUaciCdf1XF6xjWsOxnh6V4UQQgwESaJ6GfJJVGfVUer3J/Uq05vXuI2U8iUEBVjQqROYbXmNnXWjCWj4iOK2FmquvoZnQybyQs1+Aksr+KTOn53+l2PHDxTUEsYjFTZgA3ekLsC/9W84t/tTPvcKxizP4p61DaTnFjJ3noNZyx+g5bP/JOJ4x6kEKKg1nrrgaLLTn+ex1IeZv/9TcsaUkbVyPms//CN5Jzczzm8Gqj2R6P1JVO7dy7DJ48j++xunkqAOQzMmVxWu3FpWut6ipukK0lKiMdvNuOpaePDE0/g4SlHB75IWZMSoG+gsnsrhEZl02d6AjhY6VQAdU/wJ66pi98dGdHIU4yPSGB2bwM3xKUwJ8vf0xyeEOE83XDYO58zfoxxdlG8/QvOXlCjXwzuxTnYQE7YcZTCw76V3MVSZSVs+i/rWDqpTtmO3HaDzxLdYfiiRpMJdpzXrTaS1rt3Tu+pdlBtrQvq6rgn6vLbJrT5R7oTrTp+oPq5tcqtPlDs762Xc6THlzlos5erbtu70enKrT5QkIJecIZ9E5Y3KZfJBeK/9OFq3oZQ/0Y1Q02XGEhBCVmwWXxv7Hzw0rJDhjkZs5XVkFcHkBAAAIABJREFUOk4QZ/obLamL+Wf2dnZbb8au/Hq9rl358ocKA6vTFDND7uKQfyEHX9jDwofHc7c9j4LKN9ix3od51zxI+JUjyX7vp18kQCYDw9VhjBUjuT3vCSqbfDj+7i/Iuu9vbDyWRmV5MIs6bWTM+h6FVRso3FZEbGYWunjqqQp/2hjCYd8uqA1hZ+t6gutqUFk/pjDwSaIMUZS3t+JzxIBDK4pSCoi0ZlAxbByWwCo6wzJoV3Ys2od/lk0mRHdwf305EQGt1E56juqQVXw38XIPfWJCiL5QSmEyKo4XbUXV5VIfbzmrvYPZPI0R9Xau3O7DkgeuxdFlZ6fPs8R0xZF6xYPsLvmcV0J+yNSkQJL/+3WaDNlcE5iB1RhIu7OF/JY6zKUfA6s9vbtCCCH6mySCvQz5JKo4OpMOwy5WfArhzVAXBGtmw/jSajr9DER3fYUHO55m+J5s2ha0sinuM77XdRtRu24hJCmKJbZEPlTnbixbSyiHy2tIv34pRRWPcyghh7n2m1m0YBXOd32pfLsLfbVm8lXXsvEv755KgHyMVt5LqiA4KZKgzaOwR41FH1S4nE4WNTupqf0JlXl+pM66ih35L1MbVMccfQOu0yr8EVpCZbovs3cPI233ckx1AdSvDOLXh+/j5+PCSW5YzkljG0a6+GRMHJcFVGI+4MCRVkl6T3GLtvZAHt/zFsfaxtNoMtKVnsmfh93Hf6YEX+RPSQjRXwpb42ifWkKiuems9g7Vvu/RXJuC1eLEJ8jC+oLdVJqW4VgQhq+fPx1vnOCG4Zu4Kua75CfmEHAEtiQuxebrh6+tnYTiDVLiXAghLkVSne8sQz6JMkWmctIJj9y5hxqTYphDE147mfFhxzCbfPH19SFh71zsPi1ULPkGIe2Kj31isFeso9Fp4w+Z9xOu66lTEWe9dgCtbHrqDu7++XscnhZB0S4na3IPcMuULGKTo6gML6BkXy6Jk8d3J0Bj8ylK/QCzbyuvV/2YiM5GbhhxBSNH+FIc/gk1JZVMHZNE/ivXU9KWS/pjy9kyNo28kgiWdLbhF276os+TbQFXb/2Av8ZGc3dENVZfP4LqTfyp5m78C34GgZDq8KPa4YvartiSOoe5af/oVdzC31pPlvoN48Oaucx0M23RqQQGGBk5LNkDn5QQoj8smJjC0ehNPPHGY2e1d7ixqZVjodu4/ba/AtC57mPCJzTw1fRlOLvsFOcXEX4sheib0vjzhBVcdY4S55smSIlzIYQQl74hn0Stamjm+diRFB27CVcntPhBTPIOXjRnY3P5caOPgRM19Vh1B3OS23mwbTxzXB/S0lyLs3UvD8ycxOcVYayNm9trSp9J22lVQRSHZtNc28j1iZfx+sYVtLywE6asJflrmfw638gnBTk8M3k8lvRDbEmvY43hd9QSwV0nf4Nf0SFco8djXrCcJ3ctpK72IN8efwVHo/fhsgfhcrlY0OhicuODNB8N4Z2xX/R5mmTfQpTfc5htszg5JgyjXxMRpiQq9wQxbEIhrng/GiKOk6mvYFTgX1nIfP4UmEhXRQFJca9TY1KMO6G5+aPLOZzZzp7ENSyOf5QNqUnnrEAohPAOSinShgees73DY0GrKY+N4Gdj5tHZ3EbTviamFyWReHUGBwv2cTLsLYaFjMDXzxf/5Fre5g6+H/3F9r+JvIOQ5EpP76I4H57oE+XWmqi+b2t0ayHLxWeg7+vkXHT1aTv31jW50a/MnR+KPn6s7rT/Uu5ciXGn7ZhrMPQs06AHQxyDx5BPotryx3DHuKPcMvXhU9X5fAoWU9GZT1tIEwbn1ZSNfhuHo525zntYcfh1zKbZtC18l+bW48yof5DW3Vtwsbn7CpAK665SdWIbcWGFxIY2cWh3ElnZS9hTuQx/SyB1pVWMTJ7IlW/8EVfLdpoXLGTLmBYajybyQfW3iNG1bKobRUnLzdSeqGZa7BxWvzMb6uOwzLiKjokt5A4vYV57E6OGB1DxXDZlQTl8GDiJ6eXPUBe3m64WxcTNKzkRXMjr182kkUhePBFJl/8NJFVl8NcRpdQ7M8iuqiDrnYnU3xqFo76A4bW7uPeN7qmNhfGjOBQdQGmGBR1t5PY4X0mghLhEzD4UyNZxvds7LNOvMON4JUoptmx9GmNdHl0pIzEaTawrz6Moeimx86+go6nlnNuvcL3EzLxwWOTpvRNCCNHvZE1UL0M+iTrg9zEZB7NJL5vTa3G0s6uAKJ8E7Fe1UBx1F4aaUlp9FAEHgygyH+TQdT8hd9cBYiKtWI8fYZJOITEsh3Zlx6p9CKnvINichJ81gdfrDvOT0CRuWHI55Y6X+XjPeyxP+BrjI1M5uTOZHU+8SVtIBNfuf/ZUjyZDhJGQhQobYcSHhRC0LxObIRpHh41tKXNwbt/KzsmtjImfT1FMAa2VIUwMeonUE5oFR36O3eSL3/ADmJzxTD/4OUnU4ZzxMBMiojCEmhmec5wuYwxtWeEUxKUxb9j1JObfyuSDGexKUmjdRrT/KGYHTuAhWwP4z8bkJ6WLhbhUtOWPYbY62qu9g6lgMa15KfB1ePpEINOmtpB923fQWpP6aS2+KdUsHzWesr07z7m9T8FimvNHeXrXhBBCiAE35JOogwlgL99Abd1Sunz8MNvbKQnaQEhXFdbyEbQ5ypifUMmu2Bb8OlqgpRCjo4Eb4tJxqXyC2x0YYvdjKoSWEEVgT4W/4EaNMbaMzsbLCK+10jqxCB21mXW5M5l4cifLXF9l9vXf5ZN9z9LibGH+/jXUlWRR0ZPAoPzJG9NFeWs0S51OAkZmYjUZaK5q4HoK+LT6bQxHQwmZcQ9t6a0oSx3pB11k2LNJD7diMlrYHFdKZGUGdVWfUGxyMNbYwOGJbzEt+nt0HniH6ZFRGE+OY/Lw8VjifBl3NIPmlBQcYQG0KztYm6mwHWbVW4Vcd9s38TW4UYpXCDGo5Pp9zLgzTiDltdSR77eBq9tvYw6fcSxtBuMSRlBXeZyGY+1EV8YReHsIW6u3Uup39JwnoHL9NrBMqvNdHG7MDOjrDCyvLHHex3lf7kwD9LajpdONiN2aCuiJ+aFulSnv+6bKjas4g+L6jxSWOMuQT6JMkakUOAvYnvHzXoUl4mNSCUz5lEOO75NcOpGg4kpqVQ1tlytoLMGnK53pn1WiDBY29Sywjtvrd9oC6w7Wjr2DGVs04xv3E1NQS1OriZXNGymrT+Hooa2MTp9F4cwyXnWM5Zs7JtB+WgJj1T6kHD5Iuu15WiqnYZijeUG3ktJ5iDg1iejGm+jaYcEw38jfE7II1x2s6owmaFx3cQqnbxdPNj7CNdFbiX5jGT4+VtZb4SXfO3nNYCdz7w3EulrZn/E+zSlVjPFPoHNkGnuzrKemJQbQylLbm4TUpBBsHvI/KkJcUpITcthdTq8TSMVBG0iPy2Hf2nVEbUtmREwErIR39n5Gfewr+Izqbq+dZzRS/iUnoArjPLxjQgghBoZM5+tlyP9l/GWFJeKNdawxfZv/qj+OPchGVVEVvjGl1GYu4+Ujy/i1/RD1pXW0OAzYkwJ5e0LvBdaPRX4NQ3wrKrSL98oOMaU6mUkNE9llruSp67KpOryPJ9JnETzsMm7Z9iDtI1fwbmoMB+oTcHWCwQ/urMwnpPFWqvcXUxwymZmf/ojPA2ewJCqW8FQfTH6hGDGw6tif6dQW/NMn8WyYlc9yfoVPp40fW/7Met9spkUPw2DowrbzQ75TV0mj+jo6rJ2urGv5RWsbc0cVkvD5RvZn+fPuaQUyWgniZd9buT5ro4c/JSFEfxuV9j2s+hf89bTqfN+qbyUu7cfkF71EV1MXM795NwD1DYfZmPZd/pw9A0eXgznb/Hh1/LlPQJkjUz28Z0IIIQaEJFG9DPkk6ssKS9iOTOCeiBaaa+sJnRdH46EfUe17I8vs8YS3PUPDy6HURXxIu7OLCTuXsjfLyqK0J74oLFGRw7SdcQRFhDOsy8Z/D5vJ/ZXFhFUY+Vr7E6S5jtNQcy3XTs5k3R8X8cr8GHzbt5IU9/ipP0hcLVcTlKCwN5qZ4ptLUU4qlri1tKWt5m/pAVzvf5xZLidB21MwBdh5bkEQoz/dzl37XyOsGVosFk7Oep+Cy6OIbb+M1q3bqUrRJDWUQUIMoZY6Ht39Ww6F/ImKnZ+yecW4s5oGu5SJzbGZHvp0hBADJWvpXQD8Y8/viNQnqFYRlE3+MVlL76Ju1+UUW99g7KRsXC4X8Z8G8o2IGpLvGM3JsnwaSvaxKj7ynCegbqtr9vCeCSGEEANvyCdRNsNmmg4uPGtef6ttCyovgIbIQq6MfZQNo77HREMJ4XHRmJ6Nob2tirL0r+CvCrHknF1YIrS+leaGKswHT2LPNnNl4kYMrT5Utn1K9L6x+NqvI7/kI57MnkDSnAx8bR8z9piNwH3j0D3rqtrGVPN49Di+mlBCZtM4AhJtWGuH0d7UxZIj/0tlwnfparPjGz0OZVCM2bqZ1LIAcpLGo3UbBmWl1jqKt2tn8uP4dnw6ljO/RfPPCQ0sijnAtm2bOEADP1SNFFtCqfuSpsFf9rgQwrtlLb0LepKp4T3/ABZnjobMhwGora2g0rkOv4bhGI0mPi0tI3eKmZidvtwx1XbWCSjnTl/P7IyXUgYP1f3u47bajXjdqITtzsoZDH2saW1wqyb10OFOiXOXB0qcu7euqe/bunUVZ1BcAdKDJI7BY0CTKKXUYuCPgBF4Smv92Blf9wX+AUwB6oAbtdbFPV/7IbAacALf0VqvH4gY6zKcDM9dxyd1y0/N6w/3WUfjeBN1nXW0hM5mlSWMOw8047QHUZ12hNqwtRjiuvBL8kcHGSiuaCW1sLBXYYmgRk3NsOMciLOT0LKQkO3xhFWDfcIodjYkM7Oyis9PtnF8SgAx6XsZ/3on9VPH82rSjFNXs2YU5bDs8C/pMt1BR0ItH15xkpt1Au25uwnfsYC4uDxqmieyd8ExptZMIPGdAJxzzYwen4uPbxt2mz/+e2t5rOF1gu2PEB8eTn5qMNYtBziZ+Q38C/aw3BLLlpZXaI4NJoJYajm7aXAEDQPx1gshvEBgSDTRK35KWmIUAJZ1RxkVH4Y9YA2WbStIKvvVqRNQ5eVbsQevAX7p2aCFEEL0L80g6Vc1eAxYEqWUMgJ/AbKBcmCnUmqt1vrgaU9bDTRorVOUUjcBvwFuVEqNBW4C0oEYYKNSapTW2tnfcYa2GamaYGdp9Q9OrWdaGzmFyDYwhSWRnFuP8VYjJ+o/Qdl9eXMHlGTdTlWnZsmejwi3z+L59DFo1zvM23+c0GZoCILNE0aye+wdjLId59nITFZv/phGZxItpliOZiYxY+97pH+u8c3bjo8KpHzcVbySlIHD0P2R1KkI1o/Mxr98OFdVlvGJTzXxR/ZSumwFw945hP/oWFLDp/Lm3kIa8q00XZeEoXErjYF25uS0EaNrKXdCY95oCobXYln0PmYdRPOhrUwKbyItL412v3YOrbqT/+xs44mELdwfrHmkwoZdfXEm2UfbuD9WfmmEGKr8zEZuuHLBqfs1/jswbLFSctlk0nJfpPbTN04V1NGTOinJmO7BaIUQQoiLYyCvRE0FCrXWRQBKqZeBa4HTk6hrgZ/33F4DPK66u7leC7ystbYBx5VShT2vt62/gzxeYGdkipkDU/057At2mz8hB8wUFTiI6KymPqgdgKMz59PQ0cq8Q7XMSU2ipq6AupZoKiwbubpgGu9mXMMzsV8UhRgfVsqSgkqispOIatpIsDWZSv0i/q2d3HE0iEj7lRye8yzJDV0Y627nT1emnEqg/k+X0cyHM1P4atNIIte9Ci3DybzNl4fjG4hLOcn8iaMJ+MFfSAg5xqzIH/GO/3ME5Dh5tTMTrdswqyACg6I4Nnw6n50YxX+0HSG2IAZnaiGHra+TGnILSyaOpri4lEnJ32OhjxnYwB8qjdTqECJUI/fHOlmdlt3fb7sQwkvd8MDz7Nq3k5otL3B0QhZLo3efdgIqi/CWUE+HKIQQYiDIdL5eBjKJigXKTrtfDkz7sudorR1KqSYgvOfx7WdsGzsQQdZktuDYHUjgvjGn1iK1BHZRn9VCic8cwjo6AFhYY6DthJlinxJmL1rJoV+9RGmKCZuewJiiwyw56mRWWAPtvnasLh9Cj7aiWo9SX9hO/NFEOpps7J88g0rrZOZZd9OV68Jqy+TRxbNYGb6FRp9zn71tMAfijG3AnhVAaF4ihz74J9MPf0TRhLvIefd9wqMmEuTK4MPKIiy7HByYNZEP/m9KIHVcWbqN2LIn+FX1VPzb5lMQXsjvR95Flt7N7Uvm4G/x5fdjvqimtTotm9VpA/FOCyEuBcFWH66YOYuXn/srYcmRvU5AheVFQlGjp0MU56HPS1Hc6hPlRt8lQ99nRBj6+H2NfVxL1b2tO29U3zn7+EeuO+uanG5sq91ZE9XHj8etT2ao90mSJKoXry8soZS6E7gTICEh4YK3n940ku2Zx/jUWH6qKl6GM44ZjcmUntiH2WUGIOWma/jfNb8hiBSSUqfy3IwJmDVYKirpzDQRsOsIplrTqTVRPn4OmrP8iDw6jENRH+IT1ok2LmDVyWL8VRLlvjtojc9nSZWVaKOVcGqoI/Ks+EKp49grObyXkorjmgCWH6wnsHI6SSk5/I9OY0FqCSNaUqn423cpm3UVU/cauPOIDauxlXannYMNFjrbZ/L57aEkFW5j+eyHiY4OZFJgBv5WWQAuhOibihQriYW1lB/6CV0+YZjt9YT7vE5xSpCnQxNCCCEG3EAmURVA/Gn343oeO9dzypVSJiCY7gIT57MtAFrrJ4EnATIzMy84Ra4pg+kqlYXjTpwqxtCcl0pNmYt7fvM3fEw+AKSNSGFG0nTaa+owGAwkW6007NiNIyqZ8DYz9VNruaF6V691VcNagjnh/IyT4eOYccRMUJQNVRnMMd8dKFM1e5PuwBDsZPR6F9ePf53nzF/tVWLcR3eysusVzO3RJNV08PG4aJyhhUSHTmd7o8Y20R9nsT+thZ342eOZvkdzaHoIj8b5UqcCCNd2Vpb7U9K0hA1+ibyWXcyw0Ylce6FvkhBCnGFYRSTFKXBj2xfrSV/xv4JhFWefDBJCCOHttFyJO8NAJlE7gVSl1Ei6E6CbgFvOeM5aYBXda51WAJu01loptRZ4USn1X3QXlkgFcgYiyPAR7dSUWGg+7WyqzX8T4SM68PfvfUb1hmWrT92+4/bvw+3dt39z7wOMSDh7WktJmS8P/mktnc1N+AYGYTQaOXj8ICM7FuCjjbg2vkPU504c2kj6PiNfm/IEaww3U0sEEdSywvUSo/dZ6DRAUtVbROyMx2DPotHWhj0oBJvVgp9uxuAIYMv4uTSMtpDnM/pUIlanIngmPoBb2cvn05cwwjJlIN5CIcQQNGZ+PGoTvBi0uru1g8uH6Ip2Rs+P//cbCyGE8C4atJZCY6cbsCSqZ43TvcB6ukucP6O1zldKPQrs0lqvBZ4Gnu8pHFFPd6JFz/NepbsIhQO4ZyAq8wG8aZrKshE5hKT/v1NXohrzJ/OmaepZGd+Xqc8IhdwmQk9LxBr8c6jPCMZgMGAN+WKh9diRY0/dnpzendQ4nU5+f/eDjFYGfjvuP067IjaHkiIfvv/ko2d9z68AHc2NFLSP5GR7Ee1JVg76jDirWa5d+bE2LpVfW2TqnhCi/3Q3632C7D2/I1LXUm2IoGz+g6ea+IqLwAM9ptxq6+OhlljGPjYGMg6hPlFON1YKudzY1ulyo3lYX3+g3Or15Ma2blzF0VJafFAa0DVRWut1wLozHvvpabc7gZVfsu0vuQjNRl67/25W/gF25aw8VVkvM7iE1+6/+7xfI+bAR5zIuIJ/pIZSp0IJ15prCoKJOfAR8ON/u73RaGRvajIcPdY7ETNvY++o5C/dzhIUwvglcxm/ZC4LgeGb9pzzedIsVwgxEL6sWa8QQohLkEzn68XrC0v0hwtJmM7lvr9s5o/3zOOJZ1441Sdqd9Zw7vvL5vN+jRnH17Bt1Ap2tFpxdXZi8LMyLSCZGcfXAPec12uE63rq1NnNcsN1/XnHIYQQQgghxFmkOl8vkkT1kzMTpsv6sv0987h358k+J2Kr/Gp53BZwVnGKVX61FxiNEEKIi0K5MZ3JnTluHilx3vdN+1qmvHtbmQo1kNwpce5yY45nX38k3PlxcOPHUBKQS5AkUYOIu4nYQ7Nugs9f5jlbBHWEEU49q3xrux8XQgghhBCiL7QGWZvViyRRl5iHZt3EQ54OQgghhBBCXFrkalovbswjEEIIIYQQQoihR65ECSGEEEOM7ut6KndKnLu1/MudNVF929bgRj1rg1uLx/rO1ceYPbWuya0LG33d1lPrmi6BqzhSar03SaKEEEIIIYQQ/4K+JBLB/iRJlBBCCCGEEOLLaaRP1BlkTZQQQgghhBBCXAC5EiWEEEJ4I3d6TPVxU3fWNbmzTMidNVHGPm5rHEL9pVxunFN3urGty40fij73iXLjYopbfaLcMVim0emh8ztxPiSJEkIIIYQQQnwpDWiZzteLTOcTQgghhBBCiAsgSZQQQoghRSm1WCl1RClVqJT6wTm+7quUeqXn6zuUUokXP0ohhBhEtO6eztcf/86DO+O0UuqHPY8fUUot6rf34AwynU8IIcSQoZQyAn8BsoFyYKdSaq3W+uBpT1sNNGitU5RSNwG/AW4ckIAMbiwUcmPbvvaJcqMlkFtroowGd3o29W0dh9GNhkJGD/WJ8gT3+kS503isj9t6ojcVDJ51TW64WNP53BmnlVJjgZuAdCAG2KiUGqW1dvZ3nHIlSgghxFAyFSjUWhdpre3Ay8C1ZzznWuC5nttrgCuU6mt3WiGEEBfInXH6WuBlrbVNa30cKOx5vX4nSZQQQoihJBYoO+1+ec9j53yO1toBNAHhFyU6IYQYrC7edD53xunz2bZfXFLT+Xbv3l2rlCpx4yUigNr+imcQuRT3S/bJe1yK+yX71P9GePB794lS6k7gzp67to16Td4Fv0i7GwEc67dtz/+z3+DG9xwY/zb2vX184d/1cbsL4OnfOXecFnuBRwPpg0vkfT9v/TK2ttCwfqNeE9EfrwX4KaV2nXb/Sa31k/302hfNJZVEaa2HubO9UmqX1jqzv+IZLC7F/ZJ98h6X4n7JPnm1CiD+tPtxPY+d6znlSikTEAzUnflCPQf9J8G73z+J3TMkds+Q2PtGa734In47d8bp89m2X8h0PiGEEEPJTiBVKTVSKeVD9wLktWc8Zy2wquf2CmCT1pfAqnAhhPAO7ozTa4Gbeqr3jQRSgZyBCPKSuhIlhBBC/Ctaa4dS6l5gPWAEntFa5yulHgV2aa3XAk8DzyulCoF6ug/gQgghLgJ3xume570KHAQcwD0DUZkPJIk6k9fNxzxPl+J+yT55j0txv2SfvJjWeh2w7ozHfnra7U5g5QW+rDe/fxK7Z0jsniGxewF3xmmt9S+BXw5ogICSGQpCCCGEEEIIcf5kTZQQQgghhBBCXABJonoopRYrpY4opQqVUj/wdDz9QSn1jFKqWil14WV3BymlVLxSarNS6qBSKl8pdZ+nY3KXUspPKZWjlNrfs0+PeDqm/qKUMiql9iql3vV0LP1FKVWslMpVSu07o0Sr11JKhSil1iilDiulDimlZng6Jm/hzccObz1GePNx4FIY7711XPfmsVvG6MFJpvPRPSAAR4Fsupty7QRu1lof9GhgblJKzQFagX9orcd5Op7+oJSKBqK11nuUUoHAbuA6b/6sejps+2utW5VSZuAz4D6t9XYPh+Y2pdT3gEwgSGu9xNPx9AelVDGQqbX21j4jZ1FKPQds0Vo/1VMJyaq1bvR0XIOdtx87vPUY4c3HgUthvPfWcd2bx24ZowcnuRLVbSpQqLUu0lrbgZeBaz0ck9u01p/SXbHkkqG1PqG13tNzuwU4xAB1or5YdLfWnrvmnn9ef3ZDKRUHXA085elYxJdTSgUDc+iudITW2i4H5/Pm1ccObz1GePNxwNvHexnXLz4ZowcvSaK6xQJlp90vx0sG5KFMKZUITAJ2eDYS9/VMj9gHVAMbtNZev0/AfwMPAS5PB9LPNPChUmq3UupOTwfTD0YCNcDfe6boPKWU8vd0UF5Cjh0e5o3HAS8f7715XPfWsVvG6EFKkijhlZRSAcDrwHe11s2ejsddWmun1noi3Z21pyqlvGZqzbkopZYA1Vrr3Z6OZQBcprWeDFwJ3NMzJcqbmYDJwF+11pOANsCr1vaIoclbjwPeOt5fAuO6t47dMkYPUpJEdasA4k+7H9fzmBiEeuaRvw68oLV+w9Px9KeeS/SbgcWejsVNs4ClPXPQXwbmK6X+6dmQ+ofWuqLn/2rgTbqndHmzcqD8tLPha+g+YIt/T44dHnIpHAe8cLz36nHdi8duGaMHKUmiuu0EUpVSI3sW7N0ErPVwTOIcehblPg0c0lr/l6fj6Q9KqWFKqZCe2xa6F6kf9mxU7tFa/1BrHae1TqT792mT1vorHg7LbUop/56F7PRMp1gIeFVlszNprU8CZUqptJ6HrqC707v49+TY4QHefBzw5vHem8d1bx67ZYwevEyeDmAw0Fo7lFL3AusBI/CM1jrfw2G5TSn1EjAXiFBKlQM/01o/7dmo3DYLuA3I7ZlTDvBwT2drbxUNPNdT6csAvKq19qrSsUNIFPBm999wmIAXtdYfeDakfvFt4IWeRKAI+KqH4/EK3n7s8OJjhDcfB2S89wxvH7tljB6EpMS5EEIIIYQQQlwAmc4nhBBCCCGEEBdAkighhBBCCCGEuACSRAkhhBBCCCHEBZAkSgghhBBCCCEugCRRQgghhBBCCHEBJIkSYhBTSs1VSjUppdb13I9RSq3puT1bKXVQKeUVvS6EEEKcm4z1QngfSaKEGPy2aK2vAtA6cmPnAAABcklEQVRaV2qtV/Tc3gJc5dHIhBBC9BcZ64XwIpJECTFIKKWylFIHlFJ+Pd3V84FxZzwnUc5GCiGE95KxXohLg8nTAQghummtdyql1gK/ACzAP4E8YLFHAxNCCNFvZKwX4tIgSZQQg8ujwE6gE/gOMNuz4QghhBgAMtYL4eUkiRJicAkHAgAz4OfhWIQQQgwMGeuF8HKyJkqIweUJ4CfAC8BvPByLEEKIgSFjvRBeTq5ECTFIKKVuB7q01i8qpYzAVuCNczxVX9zIhBBC9BcZ64W4NMiVKCEGCa31P7TWy3tuO7XW0wDXGU8LB+ovenBCCCH6hYz1QlwaJIkSYnCzA+OUUuuUUpnAS8AfobsBI/AOUOvB+IQQQrhPxnohvIzSWq4WCyGEEEIIIcT5kitRQgghhBBCCHEBJIkSQgghhBBCiAsgSZQQQgghhBBCXABJooQQQgghhBDiAkgSJYQQQgghhBAXQJIoIYQQQgghhLgA/x/l+ehJhuhxCAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "IIVsYob6DoQZ" }, "source": [ "" ], "execution_count": 6, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "Kql3zdeNDoQZ" }, "source": [ "" ], "execution_count": 6, "outputs": [] } ] }