{ "cells": [ { "cell_type": "markdown", "id": "1e108f86", "metadata": {}, "source": [ "# The teqp paper in I&ECR \n", "\n", "A few minor changes have been made:\n", " \n", "* The ``get_splus`` method requires the molar concentrations to be a numpy array (to avoid copies) (as of version 0.14.0\n", "* The top-level methods ``teqp.xxx`` have been deprecated, and the methods attached to the instance are preferred\n", "* The ``radial_dist`` field must always be provided" ] }, { "cell_type": "code", "execution_count": 1, "id": "9539423f", "metadata": { "execution": { "iopub.execute_input": "2024-03-15T22:41:51.315748Z", "iopub.status.busy": "2024-03-15T22:41:51.315580Z", "iopub.status.idle": "2024-03-15T22:41:52.410547Z", "shell.execute_reply": "2024-03-15T22:41:52.410059Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import timeit, numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.style.use('classic')\n", "import teqp\n", "\n", "def build_models():\n", " Tc_K, pc_Pa, acentric = 647.096, 22064000.0, 0.3442920843\n", "\n", " water = {\n", " \"a0i / Pa m^6/mol^2\": 0.12277 , \"bi / m^3/mol\": 0.000014515, \"c1\": 0.67359, \n", " \"Tc / K\": 647.096, \"epsABi / J/mol\": 16655.0, \"betaABi\": 0.0692, \"class\": \"4C\"\n", " }\n", " j = {\"cubic\": \"SRK\", \"pures\": [water], \"R_gas / J/mol/K\": 8.3144598, \"radial_dist\": \"CS\"}\n", "\n", " datapath = teqp.get_datapath()\n", " def get_PCSAFT():\n", " c = teqp.SAFTCoeffs()\n", " # Values from https://doi.org/10.1016/j.fluid.2017.11.015, \n", " # but association contribution is ignored\n", " c.name = 'Water'\n", " c.m = 2.5472\n", " c.sigma_Angstrom = 2.1054\n", " c.epsilon_over_k = 138.63\n", " return teqp.PCSAFTEOS(coeffs=[c])\n", " \n", " return [\n", " ('vdW', teqp.vdWEOS([Tc_K], [pc_Pa])),\n", " ('PR', teqp.canonical_PR([Tc_K], [pc_Pa], [acentric])),\n", " ('SRK', teqp.canonical_SRK([Tc_K], [pc_Pa], [acentric])),\n", " ('PCSAFT', get_PCSAFT()),\n", " ('CPA', teqp.CPAfactory(j)),\n", " ('IAPWS', teqp.build_multifluid_model([\"Water\"], datapath))\n", " ]\n", "\n", "fig, ax = plt.subplots(1,1,figsize=(7,6))\n", "T = 700 # K\n", "rhovec = np.geomspace(0.1, 30e3, 10000) # mol/m^3; critical density is 17873.8... mol/m^3\n", "tic = timeit.default_timer()\n", "for abbrv, model in build_models():\n", " splus = np.array([model.get_splus(T, np.array([rho])) for rho in rhovec])\n", " plt.plot(rhovec, splus, label=abbrv, lw = 1.5 if abbrv=='IAPWS' else 1)\n", "elap = timeit.default_timer()-tic\n", "plt.axvline(17873.8, dashes=[2,2])\n", "plt.legend(loc='best')\n", "plt.gca().set(xlabel=r'$\\rho$ / mol/m$^3$', ylabel=r'$s^+\\equiv (s^{\\rm ig}(T,\\rho)-s(T,\\rho))/R$')\n", "plt.tight_layout(pad=0.2)\n", "plt.gcf().text(0,0,f'time: {elap:0.1f} s', ha='left', va='bottom', fontsize=7)\n", "plt.gcf().text(1,0,f'teqp: {teqp.__version__}', ha='right', va='bottom', fontsize=7)\n", "plt.savefig('splus_water_700K.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 2, "id": "fb28d259", "metadata": { "execution": { "iopub.execute_input": "2024-03-15T22:41:52.412788Z", "iopub.status.busy": "2024-03-15T22:41:52.412373Z", "iopub.status.idle": "2024-03-15T22:41:53.815427Z", "shell.execute_reply": "2024-03-15T22:41:53.814922Z" } }, "outputs": [ { "data": { "image/png": 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w6tQprF+/Hmq1GocOHcL27dtRUlJyTV/7SlkYV3AGg8FgMBjzjqioKKxYseKGi87LgQkgBmOBMZ/uLhnzC3ZszB8WoiC4XO6++27885//RE9PDzweD0pLS9HY2IiDBw/e6E1ThHmALoHFdEAz5ifz7Rgkfa2cTifcbjccDgftc8Vvxc8a5DEYn17uu+8+2O12/Ou//itMJhNSU1Px//1//9+8rwRjAugKYGMcGIsF3+ad/D8AYDabBb1FSB8s0o7fbDZLziy6GsMdGQyGGLlo4LWKEj744IN48MEHr8lzXyuYAFoEzHcT9HzfvsUEafHg28CTCB3fvlYejwd2ux1xcXEAvD2x+NOmXS4X7HY7wsPDRbOK3G637HBHvjDiiyWyhjE/udHf4xv9+oyFBRNADMYiRKpLOfk3ERv8eXNE+PiKD4fD4VeQ8MWL3JBHucGOZOAwiSTxn09JLDEYN4r5JsKkJhgwvDABdBWYbwc8gwEI01a+6St+p3ISzdFoNLRL+fU+SfJf059I8p14TQQS/3tIooo2m01WLDEYjMUNE0BXADuJfrpZKKk5f/4cfjQnLCxswXYq54sYKchnRUSRy+WCSqUSRJT4n6eUD8nXk8RYeLDPTR4S4WV4YQKIwVgg8EewWCwWQdoKgKBL+bUcrjtf4UeQyL4KCwsTrOGn2qTSbVJ+pIVm2r7R23SjX3++MB/3g8vlov48BhNAi4KFEslgfHKBlormkLQVWRMSEiKI6MzHE+71ItATu0qlwsTEBJYtWxaQH4lEkS7FtO0bbVrMnwvjxiF1zucXKDCYALpimLi4chbjPpRLW5ELJ4neBAUFUROyWq2G2+2G2WxGZGTkjX4Ll8Xo6GhAXWNnZ2fR1taG3bt3IzQ0VHFtQ0MDbDYb4uLisH79etl1brcbRUVFWLZsGUZGRrBz507JdSqVCmazGZWVlYiNjcWOHTtEa/giaXZ2FkNDQ9i8ebOg/N/pdNLnIwLJYrFAo9EgNDSUmbYZ1x0WARLC9gSDcQ251LJyInTkLork9+YLWq0WfX192LVrl2xEBQCcTidKSkqQkZGBqakpLFu2THZtd3c3DAYDDh48iKqqKuzatUt2bXFxMbKysrBs2TJUVlbKrnM4HMjPz8fRo0cBAJOTk4rvqbGxEUePHpX9HEi0Z3JyEv39/Vi+fDk0Gg0AwGq1Ijg4GMHBwYJo0MjICDo7OxEXF4ctW7ZI+pGIKJqamkJcXBwiIiLmbaqNMf/xPW6YABLC9sQlwE5CDDnkqq3k/DnzOW3V0NAAvV6PQ4cOKW5fU1MTrFYrNm7ciKqqKuzdu1dynV6vR2trK44cOQK1Wo3KykpZAdTS0oKwsDDcfPPNACAof+fDcRzy8/OxY8cOxMTEAABSU1Ml1xLxc+LECWqgllur1+vR3NyMnJwceDwezM3NYenSpZJrZ2ZmMDAwgD179qC8vBwZGRmC/+cLmsnJSczMzODQoUMICQlBSEiIwLTN9ySNjo5icHAQO3bsgMVioc8n5UMaHR1FeHg4kpKS5uWxxJhfuN1uxRuVxQYTQIuExZZiuhbwzbJy/pz5UlbOx+FwoKamBtu2bVNMnRkMBlRWVmLnzp2YnZ3F9PQ0kpKSJNcWFRVhzZo1SEhIEFykfZmenkZrayuOHz9OH5PbhsbGRsTExCAzM5M+tmnTJsm1BQUF2LVrF6KiouhjKSkponUul0skfmZnZyVFjcViQW1tLY0SNTU1Yc2aNZKvbzQa0d7eTmcd8feT73dNr9ejp6cH+/fvFzwuVfav1+sxPj6OkJAQREVFKZq2Z2dn0dLSgj179tBO277PT8TSxMTEgh1YeSnMh/PcfNgGOZgHSAjbE1fIQvCvfNpPelcbfn8Zt9sNk8m0YMvK29raoNVqsWvXLuh0OlnxMTIygoGBAZw4cYI+JrWW4zhcvHgRu3fvRkxMDBwOBwBg+/btorWTk5Po7e0VRYY2b94sWtvY2Ii4uDisXLlS8Hh0dLRobWFhIXbs2CEQP+Pj40hOThas83g8yM3NxfHjx+lnMzMzg5mZGZEAcrlcKCkpEbz/4OBgwWsQnE4nKioqBGtXr14tWkfWVlVV4cSJE5ienoZKpUJCQoLkWrfbjaqqKhw/fhxVVVUAICue3W432tvbcccddwgEEpnFRta4XC7YbDa88cYb+Jd/+RfWaXuRw1JgQtieYCxa5KqtSNqFf4c+X8rKOY5DVVUVUlJSZKMjhOLiYmRkZNCBhImJiZLrent7YTQaceDAAfoYGW3h+9oXLlzAwYMHER4eDuCTfUR+JkxNTdH0kN1up49brVbR2tbWVsTExIjET3t7OzZs2CB4rKysDFu3bhUII7PZLCmAioqKcOzYMUGEZWxsDFu3bhW9LyKU+J+tlFAjqTd+RGtyclIypUfWHjt2DADQ2dkp2Me+FBQU4MiRI1CpVNi9e7fsOsArAtPT0+HxeASpVCJi+OX/+fn5uOWWWxARESE7juRqddqe7zeD15MbLSSlPgsmgITMv1tWxqLjWkbRyAnf6XTCZrPBbDbDYDBAp9NBq9XCaDTCbreD4zgEBwcjIiICsbGxiI+PR0REBNRqNcLDwxEaGorg4OBrclLjOA7d3d1wuVyK6/R6PfLy8rB582Zs2rQJnZ2dkus8Hg/Onz+Pbdu2IS0tDQAwMTEhECKEzs5O2Gw2UQRnYGBAtI3nz5/HoUOHRAKmra1N8PPMzAx6e3tFF3GO41BXVyd6/dDQUEHaCwDm5uZEx0R1dTXWrFmD+Ph4weNjY2Oi7S8pKcGOHTtEfYB8xQ/gFR6HDh0SCCWj0ShaB3iFx8GDB6nQ6Ovrk/3cysrKsHfvXvq8WVlZkusAoLKyEtnZ2bTST4n6+nps2bIFk5OTfqOOTU1N2LVrFzZu3Cgw24eGhiIsLAzh4eGIiIhAVFQU5ubmEBERgbCwMAQHByMoKIi2AnA4HLBarTCbzTCZTLBYLLBarbDZbHA4HHA6naIWATeKGy085jMul4t5gHgwAcT4VEDuZsmJ2mQyUaGj0+lgNptpWXJoaCgiIyMRFxeH+Ph4xMTEIDIykgqd6xnlGRoaQkFBASIiIhSrmEZHR9HS0oLjx4/TwaKzs7OidW63G+fOncPhw4epORjwRnl8xUBnZyc8Ho8oktTW1iaIsJC01+HDh2mlE2FgYEDwOjqdDh0dHZKG6M7OTsFr9fX1wePxYO3ataK1LpeLRq4A74V8+fLlkp6ktWvXCoRAVVUV1q1bJ0pfmUwm0e9WVlZi69atAlHncrnQ2toqWltdXY3NmzcL1jocDknvUXNzMzIzMwX7Uc5P1d3djcTERCxZsgRNTU2y4gvwpio1Gg3i4+Ml9xtffExPT8NkMslG/vh8/PHHePHFFxEUFITg4GAqkjQaDRVJkZGRgu8JuSEg6WJyI+FwOAQiyW63U5HEb/XAuPb4nsc8Hg+LAPFge+IKWSgeoPm+jYFytcvKrwV6vR4ej0cUqfClvr4e4eHhOHLkCAD5C2Rvby8MBgP2799Pow0mk0kkXFwuFy5cuIATJ06ITnK+KZquri54PB5RigkANBqNwCOTm5uL/fv3i8QPAERFRdELrNlsRn19PQ4dOiT5Pvg9ekZHR2EwGCS9Q4BwX3R1dSE8PJxGs/j4GppbWlqwbNkyJCYmUn8SoaGhQZCCamlpwYoVK0R+oPb2dlqFxn8sISFB5N+R6js0ODiI0NBQrFixAoD3otPb2yspWKanp2E0GnHTTTcB8O5DqfQj4E0f9vf3U+P18uXLJdeR12xubg7oYufxeHD27Fm88MILiuv8zWoDvNtPvnef1k7bCxmWAhPC9gRjXrIQy8o5jkNZWRkiIyORmppK/RlSFBcXY+3atYKLWEhIiGhdd3c37HY7srOzBY/7moNdLhcuXryIkydPSl6g+NVMPT09cDqdsh6iVatW0X+TaquIiAjJtQkJCTCbzXA4HCgtLaXl477wy29nZmYwMjIi63Pp7u6mYmFoaAgOh0PSjwN4hQkRNb29vQgJCcHKlStFaamBgQGBWOnr60NISIikqNqyZYvg55GREbhcLlGabmZmRiSISPUcPwJWXV2Nbdu2iV7H4XCgpaWFCmAAsq0EOI5DSUkJjh8/joGBAaSmpipeyEpKSrBx40aRCJTi9OnT+M///E+/6wKBiBglkSRX2RZop+35btqezzebTAAJYSkwxg2Df/JzOBzUn6PVaqHT6WAymWhYPSQkRJC2io2NRVRU1HVJW+l0Or8nNZvNhvPnz2P79u3Yvn07urq6JLeHpJO2bt0qED+NjY2itV1dXXA6naKLv8lkglarpT+73W5cvHgRJ06ckLzw8Jv+DQwMwGKxyIqf0dFR+u+SkhJs2bJFkOLi09HRAcArVvPy8kQmYj7l5eUAvN4a0uFZCo7jMDU1BcAbHZmcnJQVP7Ozs1QojY+Pw2g0Yt26dZJrMzIyqFiZmpqCVquVXGs2mwU/63Q6jIyMiESRwWDA8PCw4DGHw4GGhgZR5+iVK1eKomccx6GwsBCHDx+mj7ndbsX9t3fvXqhUKgwNDSlexNrb27F69WosX74c6enpsusAbwpQp9P5jVZeTfgiKTg4WORHIqm2iIgIaDQahISEULHDT3ObzWb6h/iRnE4n9S2R9hTzWZBcb5gHSAiTgoxrjr9p5YD3xEZmW/HHQNxIDAYDKioqkJ6eLmmeJWi1WtTV1eHkyZP0AhYZGSm6mJEqqgMHDggiKg6HQ9RLp7u7G263W+CDITQ1NeG2224D4BUfFy5cEFU7Efhm5tHRUczOzorSOwRSTZWSkoLq6mqsXr1atgmg1WqFwWAAx3EoKCjAZz7zGdnPa3Z2FgkJCXA4HKioqBBUUPmi1+uxfft22mdHLp0GgG6bXq9HX1+fqM8OwWKx0P1tMpnQ2dlJ00i+1NXV0f9zOp2ora2lVVx8RkZGBOk7sh+OHz8Om80mWCuVqiovL8eePXvoPuvq6kJMTIzk2s7OTqSkpCAqKgput1tW5AHefW2322UjdnzMZjP+/Oc/4xvf+IbftdcbfvrL38w2fmqNRJAcDodsZZtchdunDTYLzD9sT1wCUl+ST5O/5krxV1bOT1vx/TkGg4FGcuYL/f39GBoaEpmJfZmamkJnZ6foIumb8iDi59ChQ6JogM1mE8yl6u3thdPplBQ/AGhDO/KcR44ckUyfAV6hsmHDBkxNTWF4eBh79uyRfS/j4+O4+eab0dTUhKSkJFFZOR+TyYQdO3YgNzcXu3fvln19AFiyZAlSU1OpP0npYhMXFwen00nFhBzE++NwOGifHTlqa2tx8OBBuFwulJWVya7t7e2l0SbfEnZffD+b0tJS7Nu3TyACOY5DT0+PyPvT2tqKtLQ0QRpzZmZGskpsenoaFouFih61Wi3bRdvtdqOpqQlHjx5FZWWlongEgN/+9rd45JFHRNGthQJfxPAfczqdVAD6CiS+F8nXjC2XZrscP9J8FVRMAAlhe2IRcDVFmty0cnJi4XdDDg4ODmha+fUSkcPDw+jv70diYqKk+ZfQ2toKlUpFe9jU19dj27ZtogjH+Pg4BgcHRdEE32GlSuIHgEBg9ff3w2KxKF6UyMiF3NxcHDx4UFTdxWfDhg20MsvfBXHNmjXUcOzbk8eXxMRElJWVYcuWLZLviUCmqefl5SEnJ0cxqtfd3Y01a9ZQ4aF0EWlra8OBAwdol2c5pqenkZ6eDo7jkJeXpzjfi9/MsKSkBPv375eMPvh6fxobG7F69WpB1ZlKpUJjY6PATwV4o3Acx4m8R1LeH4fDgdbWVuTk5ADwCrSVK1fKXsCKiopw4MABjI+P++0R9Y9//AMnTpxQjGx+GiDnIzl8x5Fcqmn7SkTS9YDNAlOG7YnLgIw9+DTjm7bi/5tMKyepKv608vl4EgC8pdExMTE4dOgQ5ubmZNfV1dUhLi4Oq1atol11TSaTpPgZGhoSRVRsNhtaWlqox4V4fg4ePCgpFJqamuhFaHh4GDqdTmR45j/37OwsIiIiUFRUhB07diimOiYmJhAbG4uamhrFaArwidHXbrf7jQi0tbXBbrdj5cqVWLp0qcA34/vZV1RUwOl0YteuXYpCjeM4TExMYGRkRNSTxxeDwYCMjAwUFBTg8OHDiqKKVKiVlJRg7969sid/k8lEBUx9fT2ysrIkO2FbLBb09/dTAdTf34/w8HDJaFlycrJA3BqNRgwODmLfvn2CdXIXpaKiIjqWA/CKJ7mO042Njdi4cSNCQkKwYsUKxWhqe3s7nE4nxsfHP5UC6HIiNZdr2uY/Tp6P3NDZ7fZ5V9nGPEBCmAC6CizkFBg/muPr0wGkxz7c6G7IBKfTqZh6AUDv/Ldv3049I0uWLJFcW11djeXLl4vuzn3TWRMTExgaGpI08ra1tQnSWXl5edi7d6+oeSDgPRkZDAb6nOPj44qTzysrK7F3714UFhZi+/btsuXSgDdaQKIQJ0+elF0HeD1MnZ2diI2NFRl4fTEajWhtbcVNN92ElJQU2ltJClIRtWPHDsTGxio+r8lkgtPpxPbt2xUjSoA3Ytbe3o5t27YprjWbzYiIiEBdXR3Wrl0rOVaDUF9fj4MHD6K7uxvR0dGyaaahoSG6j2ZmZjA7Oyu7z/jP4fF4JP1PZDq87+uRmWxE3LlcLtmozsjICIKDg7Fs2TIMDw/Lbjt5nrNnz2LJkiWyPiiGkEBEC18I8TtrX06nbbLmWsBSYELYnrhC5oMQCASO4+B0OhdUWbkcbrcbxcXFUKvViImJkSwxJusuXLiAnJwceqHkl1jzIeMlpJra8e/ip6am0N/fL1uuTPq5ANIzq/hYrVbs2bMHc3Nz6OnpURyTAADp6elobGxESkqK3+Z2LpcL/f39fj03wCd9a/yJH8C7/zZs2CAbieAzOTmJ7Oxs2f5GfPr6+rBu3TpZcUqYnp7GxMQEUlJS/K6tr69HRkYGYmNjFUVBf38/Nm3ahLGxMVgsFtnjCfik74/NZkNzc7OghJ3AcZyo6WNBQQFycnJEn4VUNVpHRweWL18uEI3BwcGyA1xJbyCPx4Ouri7F9/riiy/iX/7lXzAyMuLXKP3yyy/j85//vOzxK8VCvhm8EvgiiYgg34inlGmbNJEk/+Y/35WattkoDP+wPfEpQs6fQ3qiOJ3OeTmt/FLQ6XSorq7GkSNH4HA4ZMcGOJ1OWhpOvvCTk5OSYwuqq6uRmppKG9cROjs7sXTpUnohmp2dVawg0uv1dG1ZWRk2bdqkGPmIjo6GyWRCQ0ODINUhh8ViQVxcnOwwTT5DQ0PIycnxG+622WyYnp5W9NEQJiYm4Ha7ZcvS+XR0dEClUiEjI0NyBAefc+fOYdWqVZLi05eLFy/i5ptvRmpqquK6yclJhIeHB5TSy8zMhMFgQH9/v2wlGeAVv0lJSeA4DkVFRbL7rKGhQWCSrqqqwrZt2ySjlb4p1PHxcdjtdkHPos7OTlG3a+CT3kBkOwYHBwUC3Je33noLR48eRVBQkKIHDvAKzcLCQjz66KOK6xiBI2Xa9uVqmralYBEgIawP0AJEauyDXq+n/XPI2AeVSoWwsDCEhoYiJCREMPaB31/jRosfj8cjOdbBl/HxcbS0tFBRExERIZnWIOLn5MmTgi+72+0Wnfhra2uRnJwsEj/Ek0J8IAaDAU1NTbLiZ3R0lPbbqa6uRmZmpqJQqaqqos0DpaIIfIaGhtDW1oagoCBRMz5fPB4P3n77bezatctvKsntduP111/36w8CvOLu7NmzgvSeHJOTkygtLfV7kQW80ZepqSnJqJwvbW1tWL58ueJMLUJYWBjcbrdf8aPX6+nEdiXxo9fraY+kwsJCHDp0SPZ7k5qaSo/Ljo4OJCUlSUZvfIWhxWJBd3e3IALFcZzszK/S0lIcOHCAbkdmZqZkqhUAampqaJsJuRlyfE6fPo1nnnnG7zrG1YWYtsk4krCwMDqOhPRHkhrbw593aLFYaHNSt9sNq9WK4uJi/OpXv0JhYSHGx8cxMjLid+bcYoAJoCvkWg/yJMZUi8UCo9FIhY5er4fVaoXb7UZQUBA0Gg1iYmIQHx+PuLg4REdH08GG88WzI0V/fz/KyspQW1uruG5oaAgjIyM0TTQ0NASr1SpaR8TPqVOnRNEPX5HT0NCAhIQEyWgCx3HU42O1WlFZWakoVGZnZ5GVlRVQCfng4CDi4uKQm5sbUIqqvLwcDoeDCgql4+2VV17B7t27/XpuOI7DK6+8oti8kGC32/Huu+/KloTz0ev1KC0txWc/+1m/a+fm5tDd3Y0vfvGLfteS4bX+xCLgFWD19fWKfirAuw8aGxuRn5/v93knJyexfft2VFVV+a18I+nJ0dFROJ1OWrXHp6mpSWAeJ9EcX4HtcDgkx4W0tLQgMzOTprHGx8dlt0er1aK8vBx33nknSkpKFKNEwCepr0BmiDGkuVbnWxLd8W0iqdFoRE0kyUBbtVoNvV6P6upqfPzxx3j33XeRnp6OsLAwpKen49/+7d+uybYuBFgsbB4g5cshf5ODnQwpJCms+RC5uVIaGxsRFhaGgwcPSooZwsDAALRarahXjm+XW/44CN9+LK2trYLUTUtLC6KjoyXLvUmVm0ajoc0Q/RmJt27dio6ODkRERPgtIV+2bBkKCwtx/Phxv80eR0dHsWTJEnoRVPrMm5ubsWHDBr/pIQC0gkpqFAQfj8eD/Px83H333X5FlcPhQE1NDe655x6/YXar1YqGhga/+5U877lz5/D5z3/e71q3242//OUv+M53vqNo0Aa8I0HsdrtsuTufrKwstLe3y0ZzyGt3d3cjPT0dBoMBAwMDslElq9Uq8DCRz8P38w0LCxN5SUZGRqBSqWjK0GazYWhoSFJ0cxyH3/3ud/jhD38Iq9WKU6dOKb7PkpISjIyMBHQMyXGjx9EsdnxTbaGhobjjjjtwxx134K233sLw8DB+/OMfY2xsDENDQ5LVjpfCn/70J7z22muCysN9+/bhJz/5yRU97/WACaDrxKWUlS9Uf86lUFlZiRUrViAtLQ1Go1G22SARP/zScJfLJUpteDwe2XEQNTU1Ik9FSEiIrJG3sLAQOf9vplVhYSHuvvtu2c/AbrfDYDDAaDTC5XJJDsfkw3EcTV34q2AzmUzo6uoKyJ/T09OD0NBQUYm1FBUVFdiyZUtAXqLc3FwcPXrUb5NKIpTkSvj5uN1uFBUVKZp1CaSNgG/0To6///3v+PKXvxzQd4Z0nfZ3ARgbG6OVPFLRHEJVVRVuvvlm2Gw2VFZW4tZbb5Vdy68grKmpwebNm0VCp6WlBZs2bRK8F1JKzxdWo6OjsqnJl19+GQ899BCCgoJgtVoVfVZjY2NobGxERkaGbCqNsbAhJujQ0FBkZGQoHs+XwsaNG/0O052PsBTYJRCo897lckn6c/R6PSwWC20OFxYWhujoaJq2upb+nGt9Z0SMoWfOnPG7trS0FBkZGUhLS4Pdbkdra6vkuqGhIczNzYkuqsHBwYKLN2k0ePToUcnIA78Euq+vD06nU3acQH9/P1atWgWO45Cbm4tDhw4pRmnKyspgs9mg1Wr9moONRiNefvllZGdn+73oOhwO/PnPf6ZN8JQYHh5Ge3t7QCezxsZGxMbGwmQy+V1bXFyM7OxsNDU1+V2bl5eHXbt2obu7W3Ed2a/+ytL5z5uVlSVbdcenrKwMt912GxISEvwe7+Xl5Vi6dKnfNM/o6CjGxsYCai6YlZWFkJAQFBYWyqbUPB6PINrZ1dWF+Ph40Xa4XC7odDrB95+U0vuK3NWrV0seo2fPnsWGDRuQkpKCgoIC0YgO3+3685//jHvuuQcPP/yw4vtkLAzkRmGwPkCfwCJAlwg5IRF3PonkkOF787Gs/Fq/pt1uR35+vqDcXI6SkhKsW7eOnvDLysokPQljY2OYmpoSlWbX1taKZlkRoSIXpSD9ckZGRqDT6RQ9EMRknJeXh3379inuO4/Hg/j4eAwPDwcUeXnzzTdx6623+i3f9ng8+Nvf/haQP2hmZgbDw8OIjIxUbDQIeCNfERERGB4e9lt1VlNTg6ysLLS0tPjtIF1eXo59+/ZheHgYu3btUjRXlpSUYN++feA4zq8AKi8vx0033RTQoM7GxkZERUUFtLa9vR3Dw8MBiSq9Xg+DwRBQld7SpUtRUlKC3bt3y6YAq6uraTpzfHwcFotF0uNjs9lEfaby8/NFabLh4WFBGpNc9BoaGmCxWHDbbbfB4/FgeHhYUUy/+OKLePjhh5GQkHDDZ/BdKTc6Yj6f03DXqgqsp6cHd911FzQaDTZt2oTHHntM0Qc5X2AC6BIhgyv53aCDgoJo2oqksm70l/B6YTabUVpaipMnT4oGevpSWloqED+AdwSAr1djampKsstyX1+fqPlfYWEhdu3aJRmyb25uRmpqKuLj4zE9PY2RkRHFWVikjL20tBTbt29HVFSUaDo4H6vVirm5uYAujm1tbTh8+HBApd65ubm48847/V7MzWYzmpubsWvXLr8ntcHBQdjtdmzdutVvX57W1lYkJCRg2bJlfi+IdXV1WL16NWJjYxEbGwuHwyG7lqQiA+kr09DQgJUrV2Jubs7vfuju7qaRV3/MzMygubkZn/vc5/yuJcLBn0/JYDBgenoaBoMBa9askX1/HMdR06rRaERvb69s7yff56isrER2drZA5E9NTUlG8qanp1FSUoLHH38cgPc933///bLb/8477+DgwYPIy8tj0Z9PGddjFMbhw4dxyy23YNmyZZiZmcHp06fxgx/8AH/4wx/mfSp1YUv9G0BwcDCioqIQFxeH+Ph4WmJO0lbzueIqUCYmJgRTxOUwGo10uKTT6UR9fb3s2oqKCqxdu5aKH9LTQqPRCCrptFoturq6JIXKihUrBL6d8vJybNq0SdI/ZLVaYTabER8fD4PBgLa2NkXx09fXh5mZGdTW1iIzMzOgJnuBlLAD3oiD1WoNqHlgUVERdu3a5fei73Q6UVpaipycHL/Rn6mpKcHYAyUzc29vL9RqNTIyMmjfKDna2toQHx+PpKQkWiIuR2trKxITExEfH4/q6mrFtZ2dnYiKiqKpYiVGR0dhs9kQGRnpt7rJbDajpaUF999/f0Df0ddffx1Hjhzxu7ahoQEulwvR0dGS09wJKpUK2dnZcLlcKC8vlzVI+36P2tvbsWzZMtExSQbd8nG5XPjTn/6Eb33rWwBAI9Jyx0dtbS1tKBqIOK+pqfG7hjF/uRYCKDMzE8uXL4dKpUJiYiKefvppTE9Po6Wl5aq+zrWACaBLhFRjLfQwsRydnZ2YmJjw6ycxmUyorKykZdSdnZ2yJ/Tq6mqkp6cLIg/FxcWiO3aTyYS6ujrJu2Kn0ylIr9XW1mLlypWyRt7w8HDs2bOHGlIPHz6s+H5sNhtsNhuWLFni13Db19eH+vp6vwM7AW8qr7CwMCBzcHV1NeLi4jAyMqK4joz3OHbsGCoqKhTXmkwmKv5KS0sF3WaltlWv12P9+vWora1V9An19fXB4/EgPT2dXrANBgPMZjPtRWK1WuF0OtHX1weO45CamoqKigrFfTE0NASHw4E1a9YgJCRENEyUz+zsLEZGRrBlyxasXbtW8bNwu90oLS3FmjVrZNfwefXVV3Hw4EG/5m/AW9Vns9kUn5uM+vA3lFWn0wnOLWRGm9T3Uara8Le//S2+/vWv0+d46623ZAXvzMwMKisrceeddyI2NtZvJPP3v/89cnNzFdcwvMzXm+Dr0QmaPw9tvvPpvIpfRxbCBx3oNjY1NUGtVos6jvpisVhQXl4uEABbt26VFIX19fVYtmyZQFRMTU0hLS1NUAVlt9tRWloqeRLu7OzE2NgY/bmlpUVRqGi1WgDei15BQUFAjf5IvyR/jQYBbzTji1/8ol8z4dzcHNra2nD77bf7FcwtLS1ITEyE0Wj0a7YtKirC4cOH0dDQoNhs0Ol0oqysDIcPH8bk5CTi4uJkt0Or1aK/vx833XQT9bWRKBRpvEn6UXV3d2NwcBArVqyA1WpFXFwc4uLiEBoaCo1Gg9DQUOp7m5iYgMFgwKpVq2C1WrF161aBQLLb7XA4HHC5XJicnMT4+Dit8FPyEFitVjQ3N2P37t0YGhpS3F/EeJ2amhrQjUtDQwO2bNkiarMgt9/m5uYUx2cA3lRhcHCw36GsISEh9Ll0Oh2Gh4clmzn29vaKHvvLX/6CEydO0Ijo3NycbHTQ5XLh5Zdfxje+8Q1MTEzIlvYTWlpa0NPTgx/96EeK6+b7uXCxcy08QPn5+dDr9QC8x9wvfvELxMfHB9Qx/kbDPEAMAF4TaUxMDCIiImC1WhXLvouLi3Hy5EmoVCqYTCZYLBZJX0lraytiYmJEF5KkpCTBerfbjcLCQnzmM58RvS7HcTAajbRqq6enB8HBwbJCZXJyEhMTE4iLi8OFCxf8Nvrr7u5GWFgYDAZDQFGa4uJiHDp0yK/Z22q1oq6uLiDx1dvbi5CQkIDKUsvKyugQ0OzsbNkLOrnok88pKSlJtuzcZrOhtrYWx44do60ZtmzZApPJJBiMq1arYTKZMDg4iMOHD0OtVsPlciEzM5NWtTkcDnAch+DgYGi1WoyOjiI7OxsRERGw2+0IDQ0VtfZ3u93Q6/Wor6/HgQMHMDc3h6GhIaxbt07U4j8oKAgejwfFxcU4ceIEWlpaFNNOgFcw7t+/H5OTk36je93d3YiKigooUtTW1obOzk7cfffdiuscDgeWL1+O+vp6v9Vv/P1YU1MjefyQAap8Ll68iOTkZEF1o8vlwu233y75Or/+9a/xzW9+E4C3WuyrX/2q7DbpdDrk5ubiv//7v2XXzBeYAPsEvk+VcC0E0MWLF/Hcc8/BZrMhOjoaW7duxTPPPON31tx8gAmgTykOhwPvv/8+jh8/7vdAbGpqQkxMDDIzM2Gz2WQvlC6XC/n5+fSiynEc9QD50tPTA7VaLfK9SFWt5Ofn0xlFvqhUKloJNjw8DLPZrHi3rdPpsG3bNloZpvRlNxgM6OvrQ0xMTEAVQW+//TYyMzP9NgQkfW78NUQEvCkOo9GItLQ0yRMWn7q6Otr912w2K5bS5+bmIicnB0FBQZJrSZTH4XDg4sWLyMnJgU6nw8zMDBITE2nTTX4Fo8PhQFVVFf28+/r6ZMvIbTYb6uvrcejQIdrqIDExEUlJSaLIGfGPkeOqpqaGVtURgUT68JDjJScnBzabDeHh4YiJiaF+Id8ChMrKSmzatAmRkZGK6TTAe3zNzs76bQ5J9t/HH3+MJ5980u/a0NBQcByH2NhYRbFWWVmJ3bt3g+M4xcil77T6hoYGzMzM4IEHHqA3L1qtVlakv/baa7j99tsRExODc+fOKfYr8ng8+N3vfheQ0Z8x/7kWKbD/+q//uqrPdz1hKbBPIRaLBQUFBYiPj/drpm1tbUVkZCQyMzNht9tlT5r8RoNEqNhsNuzZs0d00R4aGoLFYhE1BaysrBTd/ZJyc6mmgP39/fTfU1NTGBsb85tqWLduHcrKymjUQQm9Xo/g4OCAxE9TUxOCgoL8Gm1J476kpCTRXbovs7OzGB4exrZt21BfX68oftrb2xEbG4vk5GQ0NTUp9nQpLi7Gjh07oNFoMD09jfb2dpq+MhgMdGacyWTChQsXaPuC8PBwjI6OIi4uDlFRUYJ5Q0R4kIuyx+PBwMCA5PFCInrEIM5xHMxms2SUkO9nIuKFVDuRiqnw8HBEREQgKioKtbW1yMnJQUREBNRqNVJTUwVz8cxmM0wmExwOB5qbm5GQkICQkBAMDg7SpqNSUYLZ2VmMjY3BbrcH1HQxLy9P4LXxfU+EyclJDA8Pw+FwKJrgu7u7affloqIiHDx4UDa6x9++4eFhlJeX44EHHhCsOXPmjGRxwLlz55Cenk5nr+3fv18x1Xj69GkkJCT4TZExPmE+RaGkIkCsD9AnsAjQJeLrpyGD6OYLFosFpaWl2L9/v6AkWepLye+I3NbWhqioKEnfA0mnHDlyRPDlCQ8PF5U5Tk5OYnJyUrIzbWpqqkAUlJaW4qabbqJ3yHx6e3vpY0ajEe3t7YpG5vb2dqxZswbNzc1YuXKl3youh8OBtrY2vyXOHMeht7cXoaGhflMdgDcffvDgQWqolsNisaCxsRFHjx7F0NCQbDk08InhePXq1XA6nQgKChJdkEhKqaqqCikpKVCr1dDpdGhvb8eWLVtgt9sFER21Wo3CwkKcOHGCRofkyrKJqON7viwWi6TpnS+UyFqVSiU7l4v0tuEfV3IRtsrKSmzZsgUxMTGYmZmBx+MRiSqyHzo6OqDRaJCamorCwkLs379f0ICQn1KzWCxoaGhATk4O9Y8pUVJSgp07dwZUzl9dXY2kpCS/c8kyMjIQEhKC6upqbN68WbJ82O12o7e3lw6DtVgseP311/H0008L1nV0dEj6LxobG6HX6+k4jMHBQcUo5TvvvINdu3bBaDQG5I0j3GgD8I1+/fnM9TBBLyTYnvgUYbPZUFJSQhvokQub1Amht7cXTqcTmzdvppOE5UyfBQUF2Lt3LzVTarVa9PX1iRoS6nQ6dHV1yU5M55fZ1tTUYNWqVYiPj5fstRMdHY2kpCQ4HA5UVFQojoOYmZmB2WxGT08PYmNj/Zbz9vX1obCwEF/60pcUT5YqlQrj4+MYHh72O0MJ8Ppztm7dioiICMXok8vloj4qAIpm2/HxcczNzdE0oEqlwubNm+mkZ/6fjo4OREZG0jRTWFgYnRbu+z7JOAx+akwuQlFUVCSK0pGLv28Pp6KiIoHJd3Z2VlYokCaYJIpUV1eHDRs2SF78m5qakJKSQoVfS0uLZGM/8pnZ7XasX78eYWFh2Lp1K32ffO+Rx+OBw+Gg7QysVis0Gg3MZrOk90ilUqGhoQFzc3MBiZ+BgQEEBQUFNJQ1JCQELS0tWLZsmWy0hYzaALwRuOeeew4//OEPReuSk5NF1ZETExMoKSnBt7/9bQDe46qyslJWAJWWlkKj0Yi+44yFzbVqhLhQYSmweU5ZWZnf8QKA90JUWFiIvXv3oq6uTnHt8PAwDAYDvUsMCgqSTS2Vl5dj69atghN+W1ub6MRotVpRU1MjEj9kRAaf1tZWLFmyRHZ4I+A1Sns8HpoeUSIiIgJLly6lURIlPB4PPvzwQzzwwAMBVXHV1dUF5OWpr69Heno6Ojs7YbfbZdeRaNqxY8fgdDrR2dmp+Prkbp40PTQajQBAR6oEBQUhPDwcs7OziI2NxbZt2xAVFQWj0UijRb7ip7GxEampqfQiSYZ4SlFZWYmNGzfSz5/4vqQoLy/H5s2bBWKjublZcm1tbS1WrVpFI4IWiwVOp1NS/HR1dSEiIoKmiDiOkz1eZ2ZmMDY2Jqic4vtu+JO0Q0JCUFZWhltvvRV9fX0ICwtDZGSkIPVH9o/D4UBDQwPcbjcSExNht9tFVWz8FJvL5UJXV5eiv4Y8d1lZGTXCK4nhrKwsWpb/wgsv4Otf/7roYjYwMCASZzabDa+++io1PQNegXPfffdJvk5PTw+6u7uxY8cO2c+Pocx8jUKxCJAQJoCuAtcq51tcXIx169bRfL0cfH9OXV2dok+FeGmys7PBcZxis6q6ujqkp6eL7kh9Ux/E9CslVKqqqgR3wL29vQgKCpI1pBYWFtL+QGQQp1LpstVqhcFgwOzsrN/yccArKB9++GG/HUpJimr79u1+B5x2dHQgOjoawcHBWLZsmWJTwry8PGrOLioqwtq1a+kFk/h0jEYjJiYmUFBQgO3bt8PhcGB8fBxut5uKi9jYWERHRyMiIgIzMzMwGAz0/XMch8bGRkmTdGdnJyIjIwXTvktKSiRTHI2NjVixYoXA6FxVVUUbKvJpaGhAWlqa4FgZHh4WjXMAvAJ66dKlAmESHh4uGSkZHByE0+kUVGWpVCpJb5vRaERbWxt9ntbWVsX0dH5+Pg4dOgS32w2DwYCQkBCBQOJ7kCYmJhAZGYmdO3di165dkgKJeJA4jsNf//pX7N27Fw6HQ1IgEWpqapCamgqDwSA7n45A9u0rr7wiOVKFRBb5wt7j8eDZZ5/Fk08+Kfge3XnnnZLfK71ejw8++ABf+cpX8MYbb2Djxo2K29TZ2UlLoBnzC7lZYEwAfQITQFfItVL6paWlsFqtfs2HZBDo8ePHERQUJJoVxMdgMKC9vZ1elIqLi2XLrtva2kTpJKneI/yIhtTr7t69m6Y4RkdHodfrZXvX9Pf3Y+3atVQc7N69W7ERXX19PUZGRujdqj8++ugjmnZTwuVyoaioCDk5OX7TaYODg3C5XFizZg2WL1+uWD5dUlKCrVu3Qq1Ww2q1YvPmzdSUbDAYYLfbwXEcgoKCUFNTQ8dhxMTEICoqCtu3bxedvObm5tDf3y+IyOl0OsnZZIODg7TJIJ8tW7aInpdEXXwronbt2iWKMHR1dSE6OlogqgBvas9XaBIBzD/uSOWS7/EzNTWF6elpgbCtrKwUvS8ANFVKIpA2mw0mk0lWPBP/mUajAcdxil3Cx8fHodfrkZ6eLiuQiEk7MjISH3/8MbKysuhxT1JtNpsNZrOZ/rFarUhPT8fg4CA2b95MZwn6XrhIfyQAeP/997FhwwbqA+JTVFQkiji98MILeOyxxwTfo66uLsmiA7fbjRdffBHf/e534fF4cODAAcUoqc1mw7/+679Kmq0Z8xOXy8VM0DyYAJqHVFdXQ6/X+/UOAJ+Ybv11D5bqiCx1MQO8HhlA6Anp6OiQFDh5eXk4cOCA6AI6NDQkOJFrtVoMDg76HUSakpKC6upqrF+/XvHEStI7AwMDsp4jPh999BGioqL8VvgQQUdKq5WYnJzE1NQUNm/eLGjUSPwlTqeTXoiLiooQHx8PtVoNo9EIt9uN2NhYREREIDY2lgqdiIgIlJaW4tSpU4ITlVT5NOk15BuRi4+PF0V/yLZKNdXzjSSQuWH8yCOp5PI9BgYGBuB2u0WpR6mU2ujoKEwmkyCi5nK5JEdj6HQ6kbAdGRmRNJZ7PB7k5+cLRLjb7ZY04gPeqMuaNWsQFxcHjuNoE0wpZmdnMTg4iO3bt/sd4QF4vVUZGRnYu3cvQkJCEBYWBo1Gg4iICERGRiIyMhIRERF0HhiZ5UaOFYvFIhBINpsNLS0tSEhIQF5eHkJCQiSjagCwZ88egffnT3/6E2699VbBY+fPn5edb/fss8/i29/+Np1nqNQXy+Px4Cc/+Qm+9rWvzdt0D0O6CoxFgD6BCaDL4FJTXh988AH1bvijsbERy5Ytw6233uq3jLq0tBTZ2dno6+tTPAlxHIfi4mKaotLpdAAgWcI8Pj4OrVYrCn0nJSWJ0lZlZWXYvn27yPA7OzuLiYkJuk1WqxX19fWyE9ONRiOmpqYAfNIR2d/ATrVajfHx8YAaDfb39yMiIsLvOAzAKygzMjJo+bQcBoMBnZ2d2LFjB4qLixEcHAyz2QyDwQCdTgedTgez2Qyn04muri4kJiZi3bp1iI2NRV1dnajMnOwrUrFEXru9vR2zs7Oi13e5XCgsLBSkHZ1Op+SsJr1ej66uLpEgKCwsFK2dmJiQFEqVlZWi4358fByzs7OiiF5NTY2ol9TMzAxGRkZE3p22tjbRcSEn7JKTk0XpYH6FIj/aExkZKRn9IccX2b7i4mLRGgLxXe3ZswddXV1+o4x1dXXIyMhQTMUSQ/Xw8DDOnj2LEydOyAqk4OBgqFQqbNu2DTU1NRgeHsahQ4dEAsnhcKCpqQlhYWE0xfbee+9JRorsdruksPnjH/9IR2IUFBTQc4Qcp0+fxpNPPolbbrlFcd31Zj6UoM+HbZCDeYCEMAF0hfgbM5GXlwe1Wq3Y/ZXQ2dkJg8FAQ+1K1NXV0XROcnKybCqLXCAOHz6MoKAgjI2N0QiPL1qtFr29vYJ0Ciml973zJqZfqRSd2+2m0SviD5IbGup2u1FdXY3ExET09vYiODhYsRuy2+1Gc3Mz9Qf5208TExOYmZkJaGhpeXk5tm3bhqysLNGFg+/T0el0yM/Px9atW+m0ciImw8LCEB0djfj4eMTFxWFmZgZhYWHYsGEDgoOD0dLSIivEKioqBCZik8kEk8kkWfKem5sr6nJdXFwsurjZbDZUVVWJomS9vb0iQUuiLr5CyeVy0TQcYW5uTrISEPBG8kj0jnQLb2trk4xcbN26VXBCJulH38/L4XBIRmlI1RlJ8XAch5KSEtE6wBuVCg0Npab21tZWWbFChs2Sz2rdunWKjSdbW1sRFxcXkB+G4zicPXsWDz30kOj4JQKJmLTDwsKg1WrR1taGL3/5y5ICqbe3F11dXbDZbPB4PMjNzQXHcXTsiMPhgNPphNvtxm233SY6X7399tvYvHkz1qxZQ43rSjdfr7/+OtatWyeKps7nCz/DC4sACWEC6BrS29uL5ORk3HbbbX7XDgwMYGhoKKB8eltbG51GD0DRJ1RYWIg9e/bQiILVapVMQ5FxCPw+MA6HQzJK0NnZKen5IKkfEr3x5w8CvHfZhw8fFgziVCI/Px/T09PYs2eP30GVer0ef//73wPyBzU0NCAlJYV2HHY4HNSTo9frqU+HNJkk/XPIzJuYmBg6d4lcmEiEhH+R3bZtm+R2NzQ0CCqzAFDTrS9kHIfviSwnJ0cgEpRmoa1evVrg77HZbKiurpZMJwYHBwsighaLBfX19bLDb/nHo91ul3xet9tNfS0EOWE3OzuL9vZ20esQwcgXZrW1tZLHN0nr8YXtpk2bJL87RESQ43Z6elryfRK6u7uhVqsxOztLvxNKwjw/Px9f/epX/V6ISNTn448/xqOPPkqf11cg9fX14b777kNkZCQaGxsxNzeHz3zmM/Q49Hg8MBgMqK2tpUZtEkH6+OOPER4ejuzsbLjdbszOzuILX/iC7DadP38eSUlJaG1tVdx2xo1HSpAyD5AQJoCuES0tLRgfH1ccVkmYnJzE9PQ0tm/f7rfTMZmsHRcX57fcvaqqChs3bhREn6TKxD0ejyidAnhP7L6P8ad1+5KXlyfoC0PSOXIneofDgZiYGBiNRgwPD/vtsgx4S943b97sN6Jmt9vxj3/8A1/5yldkL0bEp0O6PDc0NFDBY7Va6Qys8PBw6tOpqanBbbfdBo1Gg6qqKlmTrU6nQ09PDxVfExMTsmlQUkXGF5QzMzOS211aWoqtW7cKzMUGg4Gapwl8c7zv88zMzAh+VhJKvsZ3p9OJ4uJiydEIlZWVgs+fPK+UMb+srEwkPkik0vcEPTAwIPpekPYEvs9x8803i1KyJArIbw4oN+meiLCjR49CrVajr69P1jMDeCvdSNfzVatW+e0PVFhYiDVr1vitQrTZbNDr9Xj99dfx+OOPK64laaiuri60tLTg/vvvFwgkjUaDN998k/ZDIhGk+vp6aLVaHD16lHqQNBoN7YXET7E5nU6Ul5fT9gq+nafnE/PBkzQftkEKFgESwgTQJRLIgT0wMIDCwkLF7r4Eo9GIxsZG7Ny5U3auEoH4czZt2oTJyUlZTw0ANDc3Y9myZbSfjpzXgX/C931vmzZtElxUp6enBdO6+QwODiI7O5uWgPNnMEnR2NiIqakp2Gw2NDY2yho7CXNzc2hpacGKFSv8+oOIKfbRRx+lRleSviI+HTIOoqOjAxaLBampqcjOzkZCQgLi4+MRGxtLt534dPiVaRUVFbKRJZvNJuiJ5HQ60dbWJinapEzEnZ2dkhdo0jySn57weDyorKwUfXakxNv3ZFdZWSnwNikJJV/xQyIjvms5jsPk5CSioqIQEhJCfShybQw4jsPKlSsFkbCioiLs2rVL0pfmm2ZraWmR7CNlNBpF70GqSm5wcBCTk5Oi1wG8AmXfvn1029xut2xKlgzeJeLMX8VmVVUVDAZDQKM2VCoVKisr8dRTTym2gaiqqoJarcbo6CguXLiAhx9+WLTG5XJh8+bN0Gg0NILU3d2Nzs5OfPGLX6QepA8++IA28eRHMj0eD9ra2tDU1IRTp07hwIEDdGiyb4oNYKmw+YTv94F5gIQwAXSFSHmAHA4H7biqhNPpxMWLFxX7xhD0ej16enroiVwpskSaqhGvQ11dnWyZb1FRkSBFBni9ML7vyWw2o6WlRVao8MdPNDU1ITk5WVbQ2e12hIeHIzk5GYWFhX7NyUNDQ6ioqPDrDyKDM1977TVs27YNZrMZOp0OWq0WRqORNigMDQ1FVFQU7d2yZ88eLFmyBGlpafSk70tVVZWgMm3fvn2SnxuZg8WPnJlMJsn3SCITvj4UqffZ0tKCpUuXii76AwMDOHTokOAxYo73jYRwHIelS5cKRk2QqIvUSTEqKooKM7lxKISkpCTB+ygoKMCBAwckjeQqlUrQ8I80W/RN/+p0OlgsFsFjXV1dCAsLE+2fhoYGUVdqk8mE5uZm0aw3nU4nGQklnbz5ol2uB9fc3Bx6e3uxc+dODAwMUBO/HKS4gbR5UMLpdOLZZ5/Fd77zHcW17777LuLj46HT6fD666/LnnOCg4MFN2NjY2PIzc3FI488Qh/r7+9HcHAwrQDjR5D0ej0KCwvx9a9/HSMjI5ICyel00u8XSbNJCSSpMn/G9YNFgIQwAXQNkOrR4Qu5oKxfv96vACBTuPfs2aNYtQJA0kuzc+dOyYO+uroaGzZsEEQmmpqasGrVKoEIcLlcKC0tlRw9QIzbhJ6eHoSFhSl2tA0LC8PatWsFEQKlk+LIyAiWL19O3xMROkTAmEwm6tN56623EBMTQxsTRkZGIi4uDnFxcdSno9FoYLVa0dXVhVWrVvntdkuiacuWLcPo6Kjstkp5njweDy1/5+ObIuPje3Hu6elBSEiIZLPCVatWCYQY6bAs1etIpVIJUpfFxcXYuXOnbDqGX8lFuoz7ij6VSgWDwSA4XuSqAwGvUOFTX1+PtLQ00egGwCvc+c/R398Ph8MhWQkWHBwsMOoTT5OvOAQgmWauqqrC6tWr6XPMzs5ibm5OtA7wCqumpibs27cPHMdhYGBAMSpJ5uytXLnSr8cNAJ566ik8+uijiuk0juMQHx+PtLQ0vPTSS3jqqack17W2tgpaNBgMBvz1r38ViaWoqCjce++9ot83mUx49dVX8fjjj6O7uxttbW0igUQiSBEREXC5XPjLX/4iKZDkyvyZQLp+MA+QECaAbhB5eXk4fPiwX48Qf1p2dXW1YtpLp9Ohr6+Pemnq6+tl17a2tkqWm2/dulVw4VMyMo+MjFAfD/BJnxe5jrZzc3Po6uoC8EmqQanUHPBeiJxOJzZu3CgoM9fr9XQchFqtRnh4OLq7u5GdnY27776blpmHhISIxkE4HA5UVlbi4MGDdFioHGQQ6sqVK6HVajE0NCSbBiVRDyI2e3p6MDAwIFpHxob4pkilmvwNDw/DbDaL9uns7Kyo95NclAgQHwtVVVXIysqSHDxaX18v8CuVlZVhy5Ytsj2j+EKhuroaa9askRRgZFYbgVROSaWEdDodtm/fTn8eGxuDVquVHPJJ5qMRSEfknJwcwWc1NTUlGBBMaGhowIoVKwTHfVNTk2TPIbvdjoqKCsFNi9J3sru7mzZNDIT//M//xFe/+lVJQejLoUOH8Ktf/UqUJuO/59zcXLp/HQ4Hfv3rX+Opp54SrPF4PEhMTJRMl7zwwgv0+bu7u3HPPffIbo/H48GTTz6JY8eOSQokuTL/T5tAms/bxyJAQpgAukSuhrktPz8fFovFrxESgKDHyb59+2TVO6m2IRfV0tJS2RlWvb29UKlUgjRCd3e35Be3oKAAhw4dknzdlJQUKh7m5uZowzgpXC4X6uvrkZWVJZovBQjLzC0WC/R6Pd555x0UFRVh69atcDqdUKlUojLz6OhohIeHo7OzE3FxcX6jb/z5YiqVSrGJ4sjICKxWKxUfVqtVlE4h8AehktfR6/WiUnOp/j2AN0Xim9YhY0t8IxZutxv19fUC0zQp8ZZKEdbW1grWNjY2Yvny5aJePYD3c+S3baitrUVGRoasv8Vut9PXbGhoQHJysuTzAt7jhUSxyPbKTRmPi4ujAmR6elrWJD84OCj4mfiUpDxtLS0tIiHS2tqK2NhYwf5xuVySotjlcqGgoIAeO263GyqVSlbcDAwMwG63Y/Xq1aLtlOKVV17B/fffr9iAEPCKwaamJvzqV7/CN7/5TUnfFOC9Ibn//vsBePfLL3/5Szz11FOi7/If//hH0e96PB4888wzeOKJJ+gF018164svvojdu3crdkOXqmILRCC5XC6RQLJYLLDZbLDb7XA6nbSCcz4LkOuJXBUYE0CfwPbEFeKvD5AvTU1NsFgsuOOOO/yuLSsrQ3Z2NlpbWxUrpMhFnT+xfN++ffQCwN/GiYkJaLVaQeqlq6sLHo9HcmK4b8UR4I0+hISE0MiPzWZDXV2dYlPC4OBgHDt2DE1NTUhMTERcXBwsFgvcbjdcLhcVQGq1Gmq1GvX19VCr1bjjjjv8hmx7e3tRW1tLT/ZKkItjf3+/4uDU6elpjI6O0sgCx3Gy5lWpiqSgoCCReVeuzBvwRt74jxkMBnR0dEimcDiOE0QghoaGYLPZZCNZmzdvpqmr9vZ2REZGyqYolyxZQoVHc3MzlixZomja3bBhA53BRSrZpDpo8wedDgwMwOFwyPbgaW5upu9Fp9Ohs7NTsqDAaDRicnKSCn2yf3NychAUFCSYA6bVakWfBxkJ4SvCgoODRREYKQO4Un+r0dFRaLVaZGdnY3x83K/J/29/+xvWrFkTUIrsnXfeAQA88MADsv16OI6jY1w4jsMzzzyDb3zjGyKx9MEHH0im4J977jl89atfpTcp1dXVsp21Aa+IOnz4sGT08VIgI1HkjN/EYE9abpC/+eKH/EyeR+rv+Vqlda1hESAhLAJ0HSHplNtvv93vF7CxsRHp6emoq6vzO+ST76UhTQ6lnt9gMEh2tE1JSRGdeMkgTN87f4PBgObmZip+5EroyYnIZrOho6MDJpMJDQ0NsFqtiIuLg9VqhcfjoXeCISEh1KcTEREBu92O2267za/4GR0dRX9/P26//XZJzwkfUsXV0NCg2G/JZDIJDN8lJSWwWq2Sa31npnEch46ODsm1ubm5ososo9EIm80m+LzI2BIp8WOxWOg+A7yCdnJyUlL82Gw2uFwuKn56e3vh8Xhk79D5Rt7Ozk6EhYXJRmja2trov/v6+hAUFITVq1dLHnetra3QarUAvJ+XTqeTPaarq6upoDGbzaivr5etpjSZTIKLckFBgcCczt8WUtlHIH4i34hhbW2t6HU4jsPFixcFBvDBwUFZscIfOAx4O1grpXrffPNNLF261G/nd8DbwsBsNuOWW25RnFP3wQcfUCH6/PPP40tf+pLk8x87dkzkqfrtb3+Lu+++mxYxvPHGG7JRPQD4+9//jo0bN9LozbWEiBi1Wo2QkBCEhoZCo9EgPDycdv8OCQmBRqOh6W/f6PL1iCDNF4ElldZkHqBPYALoOtHd3Y3y8vKA7vC6u7sRERGB1NRUHD9+XLFKrKSkBDt37kRYWBiqqqpkw+FOpxMVFRWCiypp8OZbqt7d3Q2NRiMZJXC73dQMTS4MOTk5NETN9+lotVqcPXsWCQkJmJychN1ux44dO+jFiPh0yCgIlUqFtrY20TgIOUja7fjx435bCFRVVWHdunWIiYlBVlaW7HrSAZi8x9HRUaxcuVLyxE7KxPmRpNLSUskLU3FxMXbs2CGIpnk8HpSXlws+M1JFJhVNGxwcpKkUjuNo5265O3P+ZPCRkRHo9XpZ4dHU1ETLmPv6+uB0OmXTiWNjY3Tt4OAgbDab7HFNLipJSUk0qiaXJgVAq8HsdjvKysokjfeE5ORkeoIvLi7GTTfdJNl2wdfkPjQ0BL1eL/ITdXd3Sx4XeXl5OHjwoCDVtXLlSslox+zsLPr7++ln4q9h4JkzZ7Bs2TJBOlkOjuPw9ttv47Of/aximmlgYABOpxPBwcH4zW9+gzvvvFNSwJjNZtFx/ac//QmHDx8WpFJTU1NlI4bvv/8+UlNT0dbWJiuWryfkPCInkIhIu9EC6UbBIkBC2J64DjidTpw7dy6g0vjR0VEYDAbqwVC6k2hoaEBmZia9s5MbIMpxHAoLC3HffffRx4aGhjAzMyM64RMjs68PwW63w+12Izo6mv67sLAQW7ZsoUMyyZRsMlyS4zicOnUKDocDExMTsp2DSYqurq4OY2Nj2L17t9+GclarFR9++KEg7SdHc3MzkpKS6D6Vu9P2eDy4ePEiTp06RU+kKSkpkoZeMtneNzW5bds2Ub+f6upqrF27VvS6Y2Njggs8EZRynbNNJhM2btwIrVYLs9mMuro6UeSNMDQ0hN27d0OlUmFqagojIyOKE8+joqKQnJxMIzRKKVcyVHZsbAwzMzOiuXF8goODsWXLFmi1WnR1dckeAyRdFRkZSX1SJ06ckNwPWq0WMzMzNHJRUVGBjRs3Shq6a2trBQJ1fHwc09PTkiM8fHsTAd6o0q5duwTCdXZ2VtITpdPpBCM/GhoaFKshz58/j/DwcMlInxRPP/00Pve5zwVUOHHvvffij3/8I44ePSrpCxsZGUFZWZkgbfy3v/0N27ZtEz2/3Gd2/vx5REREICsrS7Z9xI1AaTv46S+pSEggKTb+80il2OazQGIeICEsAnSFBOIBCgkJweOPP+73BEFKo6emphT73QDeu9WoqCikpKTQ1IVcWicvLw/79+8XvH5wcLDoIqfVajEwMIDt27cLyszn5ubwwQcfwGq1wmAwUMP1pk2bsGzZMjqWg6SvwsLCYDKZEBISArVajdraWtmTqC9bt271G81xuVw4c+YMtm3bphiaBz4pIddoNIK0jRT8VCLp0SMFmRDO33+kW7Cv+GlqakJSUpLkNPfU1FTBBVcqRcaHRG+cTidKSkokuzET0tPTERMTQ5s9KokfwFtOPzU15bcjt9vtRkxMDKanpzE4OCgpJAgkWkXKxpWOgeLiYlrl4298Sl1dHRU/NTU1yMzMlDVpr1+/ngpP8v6kttnlconET3FxsUjQDgwMSA4KNZlMqK+vF5jqMzIyJCvJAG8hhNPpRE5OjmxTRj4vv/wylixZQmfsyWE2m5GZmYm//OUv2LFjh2xF5rlz5wQ3RG+//TZWrVoluPHp7e2VTecWFhbCbrfjxIkTiIiI8Ht8LRT8pdgCiSCRc+d8jCAxASSECaB5gsPhoDOTTpw4oVg2OzIyAovFgjVr1qCyslLSdEooLy9HdnY2vYO12WwAgBUrVtC7G6fTCZ1Oh9LSUmzevBlarVYwDmJ6ehp33HEHFTpDQ0NIT09Heno6PQnwKSsro192UjWjxOTkJHp7exXNuQQSJbn33nv9jg0ZHh6GyWTC+vXrRcZvX4g/iDR+6+7ulixFNpvNaGxsFJQ+T01NSYqrrq4uaDQaUTVeR0eH6KJXVFQk25OHX8JOPFdy0RGSZgK8fqGamhrFCENVVRUAr/j1J5Tq6uowOztLIx1yFXGAV6ATD5hcPx7C5OQkMjMzERwcLPLaSEFMu/X19bLVbOTYJimx2dlZ9Pb2SgqIvr4+DA8PCx4rKyvDxo0bRdE/UtXFx2KxoKKiQpSuk4s0lpaWQqfT4fbbb0dFRYXfkvc333wTcXFx+PGPf6y4zuPx4OzZs3jzzTeRlZWFrVu3yq595JFH6Pf2gw8+QEJCguiz//DDDyVTmxUVFZiZmcFnPvMZ+jkrMTIyQo/JhU4gAolf5XYjU2xSz+N2u5kHiAcTQJfItQjzchyHc+fOYf369fTLIwfpRbNt2zZ4PB5kZGTIVuk0NjYiNTWV3h0PDAygvr5e4NPR6XQwGo3Iy8vDkSNHoNFoEBMTg/j4eERHRyMyMhLr1q2DRqOhs5GCgoJk8/0WiwWrVq3C0qVLFdM5hN7eXrS3tyv2D+Jz5swZOlldiZmZGYHfRCltUFlZKUgfhoWFSZbHE3+Qb+XP7OysyIdDSqB9fTQ6nQ42m01w0SavL5XCqa6uFhisL1y4gMOHD0tWyZC5ZikpKXA4HCguLlYUnzU1NVizZg1NpymJFKvVitDQUERGRqKmpsZv886YmBikpqZK9uPxZdmyZUhLS8PFixdFXhs+pCt0cHAw7dPjO5CXUF1dTY3rer1eUbDNzs4KjufKykqsWbNGMqrke4zabDaUlpYKjvOenh7ZAaqVlZUYHR3F3XffDY7jkJ6ernhBeu+99xAeHo57773X77nn7bffht1uR2pqqmykiOM4jI2N0ePn7Nmz0Gg0os/T5XJJppdra2vR39+Pe++9l0brlAoKDAYDfvazn/mN1H5a4KfG5qMHiXmAhDABdBW4UsV+9uxZ6jdRwm63o7a2Fvv27YPBYEBQUJDoxEK+TK2trXRoKunUzJ9MHhoaSvvp1NbW4o477hBMM3e73Th37pzgvY2Pj0On08l6PjweDyIiIrB8+XIUFRVh7969fo3MZCyGv2gOAFy8eBEAZPsbEcgIhB07dqCkpERxLRnbQWamzc3NSRrJSasBqRJ2X3E1Pj6OmZkZSVNrXFycwARMmvDJdRLOzs6m/5ebm4uDBw/K7lOVSoWcnBy43W7k5ubKRokIN998MyIjI1FaWqqYTgO8A2HXrl1LL/b+SEhIEPRbkoLjOAwNDQHwem327t0r2xvL7XbTRpGtra20s7IUBoOBdv02Go2i1JQvfPFaU1OD9PR00ecxOjoqGsvhcDioYZ28R7fbjampKck0bk1NDfr6+qjvRqVSKR7LH374IaKjo2UHt/piNpuxatUqxcjc66+/Tg3sFy5cQFBQEE6cOCFaFxwcLFkZ2traSqfFV1dX4/Of/7zod8m+sFgs+NnPfobHHnuMXXT/H1cjxXYpAolVgSnDBNAVcqURIdJr5/bbb1ccekgGfB47dgyFhYVwOByy4yC6urowNzeHtWvXUv8L4L3g8cdBBAcHo6SkBLt27RLddXd1deHkyZN0m3xnkflSXV2NiYkJ+m/fERu+kKZmgfRIAbzpl4yMDNx5552K6xwOB63iqqioUEzpdHZ2IiIiAunp6TS1JmW+5s/BIvuD4zhJcTU3N4e+vj5Rus3pdIqa4ZHeOWlpaaLnmZmZoSMeAG+KbMeOHbJlxnq9ns5yIsNN5Y4nrVZLO+vKiTo+3d3dcLlcyM/P9yuqysrK4HA4aPRP6ZiurKxEfHw8iouLkZ2drWh87+rqwoEDB9DZ2YnQ0FBRg0k+MTExWL9+PcxmM6qqqmQrycbHxwU/19XVYfny5aLqLo7j0NXVJdj3TqcTeXl5ov2hVqslBUh9fT06OzupePBXHXbu3DmEhobCaDTi1ltvVVwLAH/+85+RkZGhKH48Hg80Gg3S0tKQm5sLh8NBJ8nzeeedd0Rp9ba2NtTW1uJLX/oSAO8+IRWdUthsNjz77LM4ceKEoqfsajNfDMiXe124mgIJ8N5g2u12vPLKK/j4449hs9lkW3osRpgAuoEUFhbSeT5KXxiPx4MLFy5g7969GB8fx6pVqxAUFCTw6ZBxEBzHYW5uDgcPHkRkZCRGR0fR3d0NQHxyIGZSqdTLxo0b6Z0CmUUmdxc9OzuL5ORkrFixAi0tLUhKSlKcjTQ2Nob6+noUFRXRjr1KJ66mpibRHCu5/cSPfPDHUvhCmvGR55ybm8PevXsl0y8kmsX/v8rKSlGlnNlsRkNDg8jsS8aZ8NM1PT09UKlUks0YzWYzWltb6TFRUVEhMPP60tLSAr1eDwC0LYFclMjtdqOmpgZqtRoXLlzAiRMnFEVKaWkpEhMTcfHiRb/iZ2hoCMuXL0dhYSFycnL83vVnZGSgpaUFGzdu9NsDZ8OGDRgYGADHcbIDSoFPRI3VakVlZaVsZMtms9GeWYA3EpeQkCCZUjMajQJh4XK56HHG33fkouNLQ0MDWlpa8OCDDwLwHmu+g1v5XLx4EW63GydPnsS+ffskv598fvrTn9LonxJBQUG45557kJ+fD5PJhNtvv120ZmZmBjqdTvDZdXR0oLy8HF/96lfpY0VFRbKRBIfDgV/+8pd44IEH/PYwY1walyKQAO9n7na78cEHH+AnP/kJ+vv7ERUVhaSkJOzcuROf+9znZNO1iwEmgG4QpaWlGB8fF3gK+Eqe+HS0Wi3OnTuHtWvXwuFwIC4uDklJSdSnw++nQ0rJSeM4t9sNm80mOT+po6MDsbGxguoku92OvLw8wTr+6Ag5li5ditTUVPT29iI4ONhvispgMMBgMPi9oALe6ENZWVlAKTJSxeWv2otUeJEUFZmSLhWxqqqqwqZNm0TRiT179gh6zpDIk1RnYLvdLhgnMjg4CLPZLOtLmpqaon6curo6pKamygpKjuPo8Nn8/Hzs2bNHthcU4E3l5OTk4Pz583RmkxLr169HZWUljh075jd0npaWhr6+Puzfv1+xdxVhcHAQq1evlq3gAj4pee/r64PD4VDso9Xd3U1TAuSzkDu+pqamqJG9sbER8fHxsgb8mJgYuk/dbjcuXryI48ePC/aH2+1GdXW16HcbGxvR2NiIhx9+mD4WFBQk2wspNzeXNgHt6elRvJEAvJ44p9MpeH4pOjo6YLPZUFBQAL1eLxtJdbvd+MpXvkJ/7urqQnFxMR599FH6WENDA5387ovL5cIzzzyD7373u3SIMeP6wRdIgLcCOSIiAu+88w5qamqwbt06TE1N4aOPPsLTTz+NXbt2+W05cin85Cc/wZEjRyQbis5HWGL2CiEnWI7jAg57krEKO3bsoGWTpASY9NNRq9UIDQ1FS0sLsrKy0NXVhSNHjsheWDiOQ35+Pk6ePEkfU6vV2LRpkyi6Mjg4CJfLJbqYNDU1ie4ifVM/fMhAzbi4OIyNjcFgMCjOMSL7aGxsTHa+GJ+JiQn09fXha1/7mmKUAvikiquiokJRLGm1WvT09FCRWFNTg7S0NEmTJplUzr9Ad3d3iyIQRCSePHlSdAxYLBZB6oR0blYqZyaG3ObmZsTFxckafQHv8Ue8OVu3blVMOwLe8vgLFy7g0KFDipWGbrcbQUFBqKurw+HDhxW9XG63G+Pj42hvb8fu3bsVBRjHcSgtLaWNNpUu8BzHob6+HqtWrYLJZFKsagK85vXk5GTk5eXh6NGjitVJROyQruZSop1Ey0iK1u120/Sir3CU6nHU1NSE+vp6gaAA5KvDLl68CJvNhjvuuANvvvmm3/5AH330EcLCwvDv//7viusAb0otOzsbc3NzsgNN3W634HvQ3d2NgoIC/Mu//Itgnc1mE5xnCC6XC8899xy+//3vo7q6OqDU9rVgvvQjupHIRdRVKhUSExORmJioONrkcjh37hytMl4osAjQNYTjOFmfTmxsLGw2Gx0HERkZibi4ODoOIjIyEsPDw4iJiYFarcaJEycU76r5QqWhoUE0KZwwPT2NiYkJyajQzp07BUKjuLiYdpn2ZWBgAKmpqYiLi4NWq0V/f7+i+BkbG0NDQwPKysqwfft2v4NgZ2dn0d7ejlOnTvkVSpWVldiwYQNiYmKwf/9+2QuM1WoVRMimp6eRmJgoKX5aW1sRHx8v8IO0tbWJtoXfvNBXpDU0NGB2dpb+PDc3h56eHlnxU1hYSL0XZBSFnNeFpCXJ+/cXSWlra8PMzAzy8/Oxe/duxZEFdrsdBQUFyM/Px969exUFDeDtRt7e3o7s7Gy/Aqy+vh4qlQrJycl+50bZbDakpqZCp9P5FT+At7WDVGqKDzlWAe9nHBkZKVvRWFFRQf0rSuIH8Kbo+CKxubkZtbW1AvFjNBrR0NAg+VoXL16E3W7HHXfcAYvFgujoaMXKqY8++ggWi0U2bcunq6sLycnJmJ2dVZzm/vLLL9N/d3d3Iy8vT1L8SPnqSOTn61//OgBvQ8tAhj1/GpkvPqTryfT0NP74xz/iBz/4wY3elEuCCaBLRO7ugvTT8R0HodfrYbFYqPs+PDwcsbGxovQVMbSR5x8dHcXMzAyysrKQkZGhKAJKSkpw8803IywsDNPT07LlwWazWTDjCvBeEPh9Zgikg66cmCDl91ar1W+jQ47jqDdj5cqVss3h+Nv5u9/9TrFyh0BmlpE7D7mUjtPpRGFhocATkpiYKHnn39PTA7VaLbowpqWliQRJXl4eDhw4IIqQOJ1OgcGZzEKTm2vV09OD9evXIzg4GL29vYqjKACv2XjHjh2oq6tDSkqKYqphbm4OLpcLHR0d2Lp1q2LZMvCJ0Lv55pv9hscdDgcdxBodHQ2HwwGXyyVbshscHIy0tDS/FY8cx2F2dhZms1lxdAbgTRMS47WS+CEp4szMTLS1tSkKTMA7UDgkJIR2CJdKGbpcLlEPofb2dtTW1uKRRx4RPN7Q0CAZnbxw4QLsdjv15KjVasUO5yTyMzY25vezBLy+qNDQUNx9992ya9566y1qtu7q6kJeXh4VMwSLxYLi4mLR77pcLvziF7/At7/9bURFRaGnp0ex5xYAWSHIuLpcj2gYx3H4+c9/joceemjBtTtgAugy4DvuSYmqXq+HyWSC0+mESqVCWFgYLTOPi4tDdHQ0wsPDERoaSmdfyaHT6VBbW0vLVZWor69HRkYGrcZITEwUeRlUKhVcLhdKSkpEoxfInTuf9vZ2xMXFSfYXKikpoakFMg7DX1m0SqVCZGQkYmJi/F743G43/vGPf+AHP/iBX39KZ2cnIiMjMTY2ppiiIVVcxHPU2dmJubk5ybVDQ0Mwm82C9CBZ6xvdKC4uxs033ywZTQkJCaEGZ7vdjvLyctnJ4QCwZs0aLFu2DMPDwzAYDJIROj45OTk0SqWUIgO8E94tFgvWrl2rGCUimM1mbNmyRdZ8S8S+1WqljTbVajWMRiMVPvxOuBzHYWRkhM49S05OhtvtpiMHfJmbm8O5c+cwNTWlGFUEvE32QkNDaUWWv2jhwYMH0d7ejpCQEFlTPamcUalUtADh6NGjksdYaWmpIJLV3NyMmpoaUdqLvLbv9/78+fNwOp1U/DQ3N9NziBQffPABNBoNEhMT8dnPflZyDf93//u//xs6nQ533XWX5FrCHXfcgbS0NHR0dKCwsFAkfgDgH//4h+imxOVy4ec//zmeeOIJREZGYmRkBNHR0Yrnt7fffptOtP+0spjScO+//z44jsNnPvOZG70plwzzAF0GVqtVMHDP5XIhJibmqvS6IB2hN2/erHh3CgjHYeTm5mL//v2S6QoyC+zOO+8UfDFVKpWgozHgTW253W7J6qTGxkZs3ryZll76a3RInotUIsgZWEkVGLnTfvjhh/3uy/7+fjidTqxbtw7x8fGKF3Z+d+HR0VF4PB7JKNTk5CQmJiYEKaqxsTFYrVZRt97KykqsW7dOFCEjXbpJ9MblcqGgoEDSHwR4Iz+pqanQaDQYHx/H+Pi4oj9oYGAAsbGx6OjoQHh4uOIASqfTST1H6enpfu/O2traoNPpqFAin4nb7YbL5RJ41fR6PU27kmhmUFAQXC4XHcRJUsBmsxn//Oc/sX//fqSnp8PpdAr8OUFBQYJZSqWlpVi2bJlf8QMASUlJaGlpEZmSfbHZbNBoNNSor1RJRgzURPwcOXJEUvxwHEfnYAFez09tba3IkGw2m2l/LT7nzp2Dx+PBbbfdBsBbHFBaWio7FPX9999HdHS0355NhP/5n/+BWq322zpCq9UiPj4ebW1tqKiowNe+9jXRGpfLJTLYOxwOaniOjIyE2+1GR0eHoth6//33MTs7i//9v/93QO+BMb8ZHR3Fa6+9hhdffPFGb8plwQTQZRAdHS3oB2O1Wv2adAOB4zh89NFHuPPOO/0+H7nQbtu2De3t7di3b5+sV4N4OcgFQq5aa3JyEtPT07LmOH74vqCgQDL1QzCZTNDpdFi+fDmGh4f9Gu6cTid+8Ytf4PHHH/crfsbHxzE7O0vv4JXET0FBAR1xAQApKSmSUSitVovu7m5Risrj8Yh6H9XX1yMlJUVk4HU4HBgeHqYl0/7mWg0PD8NsNkOj0WB2dpZWUMnR1NSEuLg49PX1QaPRKLYFIKX3CQkJSEpKku0WTujr60NTUxP27NmD6OhoGAwGGqUhpvzg4GDaEfzdd9/FLbfcguXLl8NoNEqKD9IVt6qqCvv37xdVvfkOnPR4PDSts3HjRjpk11cgkb+1Wi2qqqpkfTkEMrsuISHBr/iZmZnB5s2bqRiXi/yQ90eiPw0NDaivr8cjjzwialwo1Yvon//8JwAIevy0tbXhsccek3yt9957D3FxccjJyUF+fr5iNBHwRpZiY2MlxQwfEtGNi4tDbW2toNSdj16vF9zA2Gw2/PKXv8T3vvc9GgFtaGhQ/J6/9957cLlc+MpXvrKoIiSfZpqbm2EwGEQRw//4j/9ATk7OvPcEMQE0j3jppZf8No8DvCmCoaEheqFVGvNAGi2S55yZmZGcZ2Q0GtHe3i46UbtcLtTU1AiMjxUVFdi8ebOgDNyXqKgoZGRkoKmpKaBp1++88w4eeeQRxecEvEKlt7cXISEhsFgsiv1jysvLsWnTJsTExKC3txfJycmS6Sqz2Yz6+nrBnTWJXPmml1pbWxEbGyuZdgoNDaWfCUm7KfXDISMg9Ho9mpub/fZxSUtLo6M0/EVHbDYblixZIlneTdotkIiOy+VCV1cXNm/ejCVLloDjOISGhiI4OFgyXdvQ0IATJ04gNTVVcQ4d4E1TJiUlSR6jJIpKqK2thcvlwuHDhyUncpNt9Xg8qK6uxvj4OG6//Xb6XvhCiZ9a6+zsxJIlS/yKH8DbwZoYno8dOyYrfqqqqmikrqGhAQ0NDSLPD+A1h27atEmwDz/66COEhIQIKqkcDods08633noLSUlJOHToEM6ePevXPH727FmEhob6FT+AtyJ0/fr1stsPeG+g+ClZi8WCZ599Ft///vfpjYXdbkdwcLBs2vTtt99GUlIStFqtX9P2lbAYDchSyO2Hq71/cnJyRDeI999/P5566im/PrD5APMAzROmp6dx/PhxxT4ngPfCVldXh6ysLJSVlSmubWpqwooVKwTpm4SEBNEoC6fTifLycsn5TmVlZYK7OvKcchPbW1paMDs7G9AQTEJ9fT0OHTrkt+eJxWJBXV0ddu3ahZUrVypGNUgJe2JiIvr6+kTl6ASHw4GSkhLBHfXMzAwqKipEa7u7uxEcHCxKTRqNRkFTPcB70di3b59kBZ1Wq4XdbkdoaCgsFotit2LyvoFPompyo0gINpsNAwMDiIuLQ0ZGhqAKUafTQavVUr+azWZDS0sL1q1bR8Uiv1O4r/j58MMPERsb63doLeA1905OTvptYAl406tdXV3UoE+iPGSoZFhYGMLDwxEREYHQ0FD09/fjnnvuQUREBE3JkvdjsVhop3Sr1UrbS2RmZsrOUuI4Dp2dnXC5XLTaS078tLS0ICMjA4C363lTU5Ok5wfwevL4x/X777+P8PBwgfgxGo10zIsvb7zxBlJSUuj3KDU1VVH8fvTRR5iYmPBbjUdYs2YNOjs7aYdnX5xOJyYnJ+n33WAw4LnnnsPTTz8tOLbLy8uxceNGycjO66+/juTkZISHhwc074+xcCB+NP4fAIiNjQ3IoH+jYQLoCuH3AboSEhMT/Z4c+NPVx8bGFNMlPT09tEEeIBwOyYd4eeTGIfD79XR1dSE8PFz24jc4OIjw8HDExcWhoKAAx48fV3w/RqMRf/nLXxAXF+f3rtbpdKK4uBj79u1DaGioYtVTW1sbHcYJeCvPpHwVcjOzxsfHRfu2v78fNptN9BmRjsN8UVRUVISbbrpJMpplMplQX1+PsLAw2O12FBcXK+6nyclJNDc3Y3x8HBMTE7IXP+K3qampQWFhISwWCxISEqDT6QRViBEREbTdQmRkJN566y0kJycjMzMzoGGb8fHxir4jQmtrK/R6fUACmLRmIGMilCA9lx5++GE6DoB0w42IiKDdcENCQjA6OoqmpiaEhoYiMzNTNCrAarXCZrPB4XCgoKAAy5Yto5VkSim1jRs3IikpCRUVFeju7pYVD6QDO+Htt99GXFycyMPzxhtvSPbVee211wSzvex2u2I7APL8VqtV5O3zZXBwEP/85z8xNDSEL37xi7LrxsfH8bnPfQ6A98bgt7/9LX70ox8J9s/o6Cj1gEm9hzVr1mDfvn2Ijo5eFAJoPkWh+N9pj8dzVawa/sjPz5cdmTTfYAJoAUFSKiqVSvFEODo6CqPRSE82bW1tyMrKkvQIEYMw/4sxOTmJrq4uwbqhoSHYbDbFFMLKlSuxatWqgKbAA94IwU033eT3gkq8NMHBwX4HQ/b09CAoKAirV69Gf38/9bD4whd+vicFIpb4LQm0Wq2kiAoLCxNUwVVUVGDDhg2yqTmDwYAjR44EPFtLp9Nh1apVGBgYEETi3G63qGP4zMwMRkdHsWTJEtq9WqoKkaSJ8vLycPDgQb9me8AraDIzMxVFN6G3txcqlQr33Xef37VTU1Po6elRLPsmuFwunD59WjE1BXg/N7vdjpKSEixduhQbN26UHBVAIlwejwdr1qyhA1mtVqvkoEm3202HEBcXF2NwcFBWPFRXVwtM5//4xz+wbNkyUZTVZrPh1ltvFQmuV155BVu2bKGfeW5uLmZmZmTf8+uvv44VK1Zg7969stEoPj//+c9hs9mouJFibGwMSUlJtHjg1VdfxQ9+8APR90WuB9jLL7+Mbdu2YefOnWhvb79u4of5i6Rhk+DFMAG0QCguLkZISAgdOCqHVqvF4OCg4IQkN2uptLQUO3fuFAgjo9GIoaEhQQ+a6elpjI+Py4qukpISetdTUFCgOLGcMDIygszMTL/pHMB78t+0aRNuuukm2dQbICxh7+rqotV6cs956NAhup2zs7Ooq6sTrZuZmcHQ0JBooKPdbsfY2JigdxOZJC61jaTyacWKFVR8+ZvDBXhTli0tLcjOzqaNNAFvJImMIwgLC0NMTAwsFgtWrVpFP9OQkBDZ99/R0YH09PSA9n9DQwNCQ0MDGmrZ09ODvr6+gJ53ZmYGb731VkDP63a78dxzz+Ghhx7ye2wB3pTanj17ROk331lKpP9Wa2srPvOZzyAmJkYgFPnjaQoKCmCz2fDPf/4TIyMjuOuuu2jfI2IYJ6xevZqmAP72t79h5cqVIoO91WqF2WwWmfJPnz6N3bt30/5HTqcTAwMDsi0k/vSnPyErKwsbNmygLSeUePXVV7Ft2zbFai1iAtdoNOjr68M777yD73//+6Ljtb6+XtLr8Zvf/AYHDhzA1q1b0d7eTtO4ctTW1qKwsFBxDePKcLlcTAD5wATQAqC2tpZ6d4j3QAqbzYba2lrs27cPOp0O5eXlis+ZmZkpEkbR0dGCSIPJZEJra6tsW/va2lps3boVKpUKZWVl2Lp1q2KX4aGhIVRUVGB4eJiKNKVhqAUFBdi5cyfS0tJkJ08D3hETExMTtFJtxYoVshfhoqIi7Ny5k3aqJf4P3wuxTqdDT0+PyJxqt9uRn58vSMM1NDQgMTFR0pfkcrmox4PjONpXhh+ZIkZfh8MBnU6H8+fPY2hoiHbOdjqdCAoKotscExND/TparRalpaXQ6/WyJdR83n77bZjNZsVGi4T6+no0NTX5NQ8D3shPcXFxQA0sp6enUVJSgrvvvtvv3DBiSv7mN78ZkLeloaEBy5cv9xvZ4jgO//znP+kIGWL4JhVv/EGTarUaK1euRENDAywWC41u8Tu986dwR0VFweFw4A9/+AOysrKwc+dO0TH++uuvC9oxcByHF154AcePHxccu1qtVjaq84c//AE7duzAzTffjFdffdVv9OOdd95BWlqaqMOzL6WlpTh27Bja2tpw8eJFPPHEE6I1Wq2WVjESPB4Pnn32Wdx666004tPT06OYEmlpacEvf/nLgI6bhcJ8jEKRNPhCw+PxYG5uDlNTU5iensbMzAw99q4UJgcvEakD29808yuhsbERUVFRAfuDSCqhu7tbMMEa+CQ33dbWJmp0WFNTg6ysLIFxzel0oqysDCdOnJB9XXJiq6+vx8qVKxVL0i0WC0ZGRmC32/2W8QLeyNLk5KTfUQz8+V6jo6NISUmR7WBcXl6ODRs2CKpVpPohmc1m1NbWSlbm2O12nDx5kt4Nt7a2Ijo6WnYIbG9vL+0DdPHiRRw8eBBqtRp2u13QY4fjODp/a/v27aivr8ftt98uGSUix6HT6URFRQXS0tL8dkwGvOIvJiYmoBx9Z2cnRkZG/A7aJO/RbDbjrrvu8vt5TU9Po6enx29zPsArMN5//3189rOfDeju9cyZM1i6dCk2bdrkt0KttrYWHMfJ9mjio9FoaFpYapwEqVorKSlBdnY2goKC8Pvf/x579uzB+vXraQSERAwbGxuxfft2Wr3GcRx+9atf4Qtf+IIg0kOOZylefPFFnDx5EmvXrkV+fj7uuusuxfPQ66+/jsnJScVxGIRNmzaht7cXra2tsmKpvr5eYN4ns8C+/vWv0yio3W6XrW4DvP202tra8M1vfvO6+FMWC1LHwUJMgXEch+LiYrzyyisYHR0VNAfeu3cv/uu//gtut/uyhd3C2huLjPr6esXeHAR+U0KCbz8OcoInvhh+GXx3dzdSUlIE4of4bqQuDgaDAd3d3fQi2t7eHlCX5+DgYJjNZr/maMA73kClUuHee+9V/NLyS9jr6+tly3AB7wWPn6KamJiAyWQSpUnINPETJ05Aq9UKHrfb7YL91NnZieDgYMnGkQDovnY6ncjNzUV2djZsNhtsNpsg0sAvOd+7dy9KSkoCujDPzMwgJSUlIEHT29uLJUuW+O0yDXgN7x6PJ6DuroODg/B4PLjpppvgdDrhdDpl105NTaG2tjagQYwulwsffPAB7d/jj9raWoSEhGD//v2K2wB4U716vR633Xab333c3t6Ozs5ORERESJqVAe/3a2BgAKtWrYJKpcLvf/97nDp1ikbOfEv6165di4iICOoxeuGFF/CVr3wFS5Ysgc1mQ1BQEHQ6HXJzc/Hwww+LzKy/+tWvcP/999NRK+SGQs4j98orr8BmswXk4WpoaIBer8fExIRs5Gl6ehqZmZlUtNhsNjzzzDN49NFH6ffL6XSitbVVNsVZUFCAmZkZ2fJ7xtVlIQkgMji7o6MDr776Ko4fP47Q0FCUlpbic5/7HM6cOYMHHngAAK5IODPJPY9xOBx47LHHApqEvnfvXjQ0NIjmEvGZnJzE7OwsNm3aJHh87dq1oiosuSnwHo8HTU1N9ILb29srElS+VFdXY2ZmBnl5eQGZo0nDv/379yt+YR0OB+3aC3jnk8mlPZqbm7FkyRIq0sxmMwYHB0Xix+Vy0bEK/O202WwoKCgQpGB6e3vhcrlodI4/IsJgMODMmTOYm5uD0WhEXl4ebrrpJixduhQxMTG0ezIpOSdDbO12O4qKimSr8vjbU1lZicHBwYDEBImmBSp+amtrFftLEfr6+tDT0xOQL2dqagrt7e2IiIgQddb2xel04uLFi9iwYUNAqZHa2losW7ZM0FhQaZuLi4sDOhYrKytRVVWF+Ph4WfFDyMzMREpKCl588UXccccdgrQhSa2Rz3np0qU0tfbSSy/hu9/9LpKTkwXG7H/+85+46667YDabYTKZ6Oid//t//y8eeughrFixAh6PBzU1NYrb9Zvf/Ab79u3DiRMn/B4rH330EWpra2EwGPD5z39ecg3HcdQUD3hTxc8++yyefPJJwc3B3//+d1nf4NmzZ2E2mxETE3NVo+fzqQLrRuN7bC8kDxD5HMlA8IceegjR0dEICQnBgQMHsHfvXpw7dw4ABF3lLxUmgK4S1+KLJ+e74VNVVUVD7CtXrpQtUSdRG2JYNBqNkoMNAa+g4ndP5hMUFETNnKOjo3770vT39yM1NRW1tbUBNXmsqqpCY2OjX/+G2+1Gfn4+jh8/jsnJSQCQ9Qh1dHRAo9EIqs0iIyNF+5eMPpCKvGi1Wvo4x3Ho7+/H3NwcMjMzYTQaodPpoNPpYDab4XK50NbWhmPHjiEuLo4OoE1OTqYjEXyfPy8vD+vWrZMUX744HA6cOXOGjifwR2VlJYaHh/2WRgPeaGBzc7Pfiz3wSdprxYoVfr1Hk5OT6O/vx86dO/2WxjscDuTl5eHkyZNYv369X5FSVVUFi8XidyYa4BVhH3zwAR0/4Y+WlhZkZWVJ9sgicByHqakpuN1u/OIXv8B9990n+z185ZVXaKrUaDTil7/8JZ566ik6Sof0PNJoNHjwwQepzys8PBwOhwO/+tWv8I1vfAMxMTGw2Wx4+eWXERUVRcv6AdBhtGRC++23346srCy//ZgcDgdqa2uRkZGhGPkrKCigx93w8DBeeeUVPP3004IGh+Pj48jOzpa84P7jH/9AeHg49u/fj+Hh4Xnpl7kS5qsIW4geIDJWB/ikOS3gFXfkvH8lLAw5OM+5UV/glpYWxMbGIikpSXEb7HY76urq6MBFwJu6kZpMXl1djXXr1omaWDU1NSExMZFGimZnZzE4OOj3opqZmSk7Md2XwcFBjI+P+/WckJTfkSNHUFBQoNgYrre3Fx6PhzaY7OnpkZwdxnEczp8/j2PHjglOEmazGREREViyZAmsVitcLhdGRkYwMTGBm2++GR6PRzAignxByQWioqICWVlZfoeQHj58GBcvXhR4i+TQ6/VYvnx5QOmMgYEBBAcHB9Rjp6enBw6HA/fee6/ftb29vbBYLNiyZQuMRqPiWjJiZcOGDYoGecAb2SosLERsbGxAF5KKigrMzc2J/G5SzMzMoL6+Ho8//rjftU6nE3/961+xfft2v+lF0gTw5z//Ob71rW/JXmR0Oh327NmDZcuWYWZmBn/4wx/w9NNPi0TC6OgobDYbjaqqVCpotVq8/PLL+PGPf0y/RxzHYePGjcjKyqKjREh3b6vVihdeeAFf/vKX0dLSQjtS80eJ8C8mgDdic/z4ccXv9PT0NBISEqDRaNDe3o6CggI8+eSTAIR34mFhYZLRxldeeQWbN2/Gzp070dXVhS9/+cuK+5Zx9VhIKTBCdHQ0rWokRSdlZWXo6elRrAgOFBYBWqD09vZCq9VifHxccZ3H40F+fj5ycnIE07d37NghEk3Nzc1ISkoSDc0cHR1FfHw8FT9msxmNjY2yJ0qr1UqrnkpLS7F9+3bF0lyVSoWRkRFMTU35HdwIfFLC7vF4sHv3btnIz9DQEEwmE41QDQ0Nwel0SooRYk5WqVSw2Ww0RVZfXw+LxQK73Q6O42ik58iRI4iNjUVUVBTCw8MREhICj8cj6M5dXV2tOITU4/FQrw0pi1e6Q3O5XGhvb0dPT09ADQZbWlowNjYWkD+op6cHXV1dovSoFL29vTAajbQMX4nx8XE6gNafKdlqtaKoqAirVq1CcnKy37vV0tJSrFmzBgcPHlSsEAS8fi/Sb8jf83Ichx//+Me0ukoJMkfrpZdewpNPPinrQbPb7YiMjMSmTZswNDSE1157TVL8eDwe/P3vfxeklAcHB/Haa6/hhz/8oeAmQqVSYf/+/bRjNonA2O12/OY3v8EPfvADJCYmYnBwkFZqkjQtOcbNZjMsFgv+7d/+DYmJidi5cycdNyIlQIeGhrBlyxZUVlaiuroa3/zmN0Vr6urqJFPnv/71r7Fv3z6ahuMPkpXbt5fDfIgo3ehtkPrsFlIKjBw/GzZswP79+2krktWrV+Pf//3f0dfXR68VzAO0yBgbG4NOp0NGRgZtjCiF78T26upqDA4OSq7t7u5GWFiYoJKJfIlSUlKo2dLpdAp8N1J0dHTg2LFjqKmpwapVqyQnr/MpLi5GZWVlQF6WwsJCbN26FVarFRqNRlZYjY+PY3JyUjDANT09nfpaSMm51WrF2bNnsX79etjtdjoigjTTO3DgAKKjo2nKgaSSpPZ5eXk5TavV1dVh+fLlsuM6PB4Pzp8/j/T0dJw/f97vQE+324333nsPY2NjAUU72tvbUVpaGlDaq6enBx0dHQGNrOjt7YXVasXs7KzfeWSjo6MYGxvD+vXrsXLlSsXjwGw2o6SkBCdOnMDatWtlK+oIRUVFyMzMREJCgt/S+JGREVRUVPgdtUL4j//4D3zlK18JyC81NzeHM2fO4Omnn1asfnv33XehVqvR0dGBjz76CE8++aTkiXtgYEBgCm5vb8fHH38sWv/mm29KCsqJiQn8/ve/x9NPP43w8HAEBwfj61//uiC1xu+YHRYWhueffx7h4eG0Qadcx+yqqiqkp6fj3LlzGBkZkeyAbTQa0dnZKWiv4XK58D//8z+47777sG7dOng8HvzlL39R3K/t7e34X//rfymuYVwaCzECtHTpUpw8eRLp6ekICgrC17/+dbz33nt45plnqPfySsTmwtob85RrWQbvi1arRXV1dUCRksLCQuzduxchISGYmZmhd9a+DA0NwWq1CgyLRqMRFRUVAjMuiVScOnVK8qAjzv3s7Gw0NTUhISHB74iLmZkZTExMBFSaW1ZWhtTUVDQ1NQkq3qSes7+/H/v27QPHcaiqqqIlx6TsnJScV1ZWYvv27bTSiESAwsPDkZWVBa1WC5VKBZ1Oh5aWFkUvCDHrNjY2YsmSJVQ0ynH06FE62dtfenB0dBRxcXE4duwY5ubmFI+34eFhjIyMiCY0S9Hd3Q2Hw4HDhw/7FRI9PT2w2WzYvHkzFQdyUZ3h4WFMTU3h5ptvhs1mU4wAGgwG1NTUIDs7GxaLRXEtx3EoKChAVlYW+vv7/U657+/vh1arpV3KlSDVVV/72tf8fnYejwcff/wxurq68PTTTyvehZKO5zU1NbTkWwqr1SrYxqqqKrS1teEb3/iGYF1DQwMiIiJEF7POzk589NFHtFvzxMSE4sgYu92OX/3qVzh8+DB2794t6kvFr1zT6/XQ6/W4cOECoqOjcerUKZjNZppOI+eDxsZG3H///fRcoNfr8dJLL+E73/kO/Vz/8pe/KLbWqKiowN///nf86Ec/kl3D8I+UCXoheYB6e3uRl5cHt9uNnJwcrF+/HhzHXdUZYywCtIAwGo04ffq04kWYUFlZSadQezweJCQkSKZ+pqamJLs8Dw0NCcQPv4Gf1Mm+ubmZ9knp7OyERqNRbNro8Xig0+lQV1cX0MiEmpoaZGZmYsmSJbIVUhzHYXZ2Fg0NDdi2bRsMBgMKCwsRHx8Pm80Gj8eDkJAQOiKio6MD27dvx4oVK2jn3/7+frS3twue12Qyoa6uTnK/m0wmtLS0CPZDVFSU7HsnHiKVSoWCggIcPnxYsRGg2+3G+Pg4enp6aPsApTuenp4ejI+PK15g+GunpqawadMmv+KHCCV/PX4A77EzMzODpKQk0ZBYX7RaLerq6rBnzx60tLT4FT95eXnYuXMndDqd3+gWMWnfdNNNfqNVLpcLP/nJT3DPPff4FT+At6dOb2+vbCSHz+bNmzEyMoKhoSHZsnKj0YgPPviA/pyXl4fh4WHJ9enp6QI/H+AVS+Xl5bRnz9zcHN577z3ZbZqensazzz6LL3/5y9i3b5/owug7jLa5uRkjIyNYu3Yt7rjjDlq9SDppEyP4vn37aFPIzs5O/Pa3v8X3vvc9hISE0NTaZz/7WdkbI9Jl+9577/V788S4NBZSBGhgYADPP/88zp49i4sXL+KXv/wlenp6rnqwgQmgBYTZbMYPf/hD2TlThKamJiQnJ8NisaCxsVH2BG0wGNDe3i6ohiKVJEQ8EQoKCmSnm5tMJsTFxWHdunUYGBiAw+FQ7DJss9nw8ccfo6SkxG+5N+C9q3Q6nUhOTqZeD76XgYyIGB0dRVFREXbt2gXAa8Q8cOAA1q5dS/065KRdW1uLtLQ0kT+H4zhB3xIy7FQq5ed0OlFdXU19M21tbdBoNLItARwOBy5cuECHbh48eFBRULhcLpw5cwYtLS2iAZpS9PT04Ny5cwGlEnt6ejA0NOS3CzMAOiV9bm5OMo3FPyGRiMvGjRsxPj6uGHWZnZ1FS0sLcnJyYLFYFIU9qdDbt28foqKiRMenLx0dHQF7HqxWK/7rv/4LOTk5AQ16rampgcPhwHe+8x3FdTabDb29vaiurobT6VQU+m+88QaNgr7//vtwuVySZnSdTif6DC5evCgSV8XFxbINDLu7u/H666/j8ccfR1VVleJ7ALyff2VlJQ4cOICdO3dCpVLRsn4yjNbj8aCjowNqtRqRkZHo6upCfn4+FYhkdp1er6f9wPjDaInpPDQ01K8Rm3F5LCQPUFVVFcLDw/Huu+/irbfewsqVK1FUVATgysrefWEC6BK5kea25cuX+w1h8ie2azQaWinkq5ztdjsqKysFF52ysjJMTU2JnrOsrAxbtmwRRQlcLhdsNhuioqKQlpaGsbExzM7O+i2Jnpqaglqtxi233OL37rmtrQ2Dg4OIjo6G1WoVlJwTvw6paGlqasKdd96JsLAwdHR0yJack7EV/MaNRPjxxYvdbkd5eTmOHj0q+bmHhITgyJEjtGGXWq1WHBlht9tx6tQpFBUVYd++fXSshRx9fX2IiIgIqHHk8PAwWltb8a1vfcvvMUqiOWvWrJGc48Snvb0dHMdhw4YN2LZtm6KPp6enByaTCdu2bUNYWBgVolJMTU2hq6sLBw4cgNPpREJCgux2u1wuXLhwATk5OWhublbcXsBr/g4JCcH09LRsOTphbm4Ozz77LJ544omA9vOZM2fQ29sbUPO+06dPo7KyEkuWLFEc9urxeGjDz9deew2JiYmSbQjOnTuH3t5ewWNvv/02PB6PSFzdeeedkt+tyspKFBcX4zvf+Q7OnDnjtx3A7OwsXnjhBTz22GOKx/Z7771HzzX5+fno6enBN77xDYSGhiIsLAzh4eEoKirCwMCA5DDa3/zmN1i1ahVSUlIwMDAAu90uGkYrZ8yeT8zn7VtIAohUuhJSUlJotenV7BjOBNBV4Hp6gJQYHByExWKhfhK56iO3202bEhIMBgM2bdokMp/W1dUhPT1d1LhOp9MhPz+ffqFmZ2cxMDCgWDUzPT0NwCvScnJy6O+S/cdxHL1TtFgsaGhogMFgwE033YTU1FQawo2MjERcXBzi4+MRHR1NO4TecsstUKlUKC0tle0+29LSIhpbUVlZKZq07XQ6afWc74V5aGhIUH3X3d0Nj8cjO67EZDLBYDAgOjoa+fn52LVrl2Kqx+FwwGg0YnBwMKBu0ENDQ5icnMSdd97pd21nZydsNhs2btzoVxy0tbVBrVbTclOlNFlXVxfsdjtWrVqF/v5+xeedmJhAf38/9u7di+LiYsVqMofDgdzcXBw/fhwdHR2KaVXAe7xGR0dj9erVyM7OViy7Jz1snnjiCSxZssTvvnv33XfR0dEh2yCQD4labtq0SbLdBIH47+Lj4/Hb3/4W2dnZktEPl8sFvV4v+H698sorSE1NFYilvr4+dHd3S77W+fPnMTIygq9+9atwu904cuSIoHePL5OTk3j66afxzDPPKDau1Ov12L17N0JDQ/Hee+/B5XLh/vvvF6zhOA5jY2N0TAiJHqlUKjz//PO49957sWfPHhQVFWHLli2Sw2h9jdl2u10wjPZqRgYWOnKjMBaKB4hcBwgmk4mOwSBRw6vxeS8MOTgPISa/+cLU1BT6+vrgcrkUO/iSyrDjx48jKCgI09PTiI2NlTSWtba2IjY2VrLBnNlspj4To9GI5uZmwVwgXxoaGqDRaOhg1bCwMEHDNgB07IRarcbIyAj6+vrw2c9+lo6IkIJfQk7uDOTSRSQqxI/yGI1GrFq1StBTwu12Izc3FydOnIDBYBA8x/j4OLRaLa0u6+3thd1ul60Ymp2dRVNTE3JycpCfn4+dO3cqCgnSQiAsLMxvQ0TAKzwuXLiAb3/724rryPufnZ0N6LhtaWlBWFgYzGYzwsLCZPsYqVQqdHV1IS4uDmvXrsXFixcVU1nDw8OYnJzE7t27MTY2hk2bNsnObbNYLHQkSVBQELZs2aK47ZWVlUhPT6fiUklktre3UwM6iWIq8eabb8LtduOHP/yh4jrgk67h99xzj2IK0Gg04syZM/jWt76FZ555Bvfdd59s9VtwcDAVFaSk/NSpUwLR7fF48OGHH+LHP/6x6PffeOMNJCYm4t5774XFYsHExITitrW1teGNN97A//k//8evR21mZgarV6/G6dOnsXnzZsn+VCqVCo8++qjgsenpabz88sv4zne+g4iICDQ0NOCBBx6QvUj7GrNJ3yMSHSKQUSL8fkckbXe9ztnz6dpAWEgeoJCQENTU1OCFF14Ax3FobGyESqXC6dOnYbfbYbVacfToUTpk+HL3N4sAfQogXp5Dhw7hxIkTiies/Px82pSws7MTQ0NDkneBPT09CAoKEvlZRkZGAICmj+x2OyoqKvz6N5KTkzE2NoZVq1bB4/FAq9XCaDTC4XDQdWREBBmb8ZnPfEYyhUXgG7N7e3sxNjYmuw3d3d3gOI6G8V0uFywWC6KjowXih5SnHz9+XPJEnJycTMVPX18fLBaLYrm0SqXCkSNHUFhYiOzsbL8VDD09PQGLn6GhITQ0NOBb3/qW4jrAe8FXqVSIj4/3669obGxEeHg41qxZg6VLlyqWpLe2tkKtVmP9+vVQq9WK4yVI92ySdluxYoWssDIYDLQKcXR01O9JrqSkBGvWrIHb7ZZt9UCoqalBZWUlHn30UURHR/sdy/Hqq68iIyMDDzzwQEARth//+Md48MEH/Vad1dTU4OGHH8Z///d/47HHHpPdz/n5+fTfdrsdP//5z/HAAw+IIo6zs7N46KGHRL//u9/9DuvWraM3Bq+99pqi16moqAilpaW45557/BqRz5w5g+TkZDzzzDM4ceKEpNlcyghPBNbTTz+NiIgI6PV6rF+/XvHm4O2338bLL78s6JgdHh5Oy/pJtC84OJhGj4hPkESPLBaLKHq0EFJrl8NCHoWxYcMGbNiwgVoeMjIykJaWhuHhYczMzGB4eJimxK7ks1sYe4Mhi91ux5///Gd885vf9BveLCsrw7Zt2+idcXp6uqQPhTQQ5E8X5zgO+fn5guiS2+1GQUGBYEQE/67MbDZjamoKycnJaG1tRVpaGhITE6FWq2nXZJVKBbfbDYfDgeDgYExNTWFqagqPP/644sWGRLIOHTqEmZkZqNVq2ZLovr4+2Gw26k0ym80oLS0VldITQXXs2DHBiYKU0t988810Hw8ODsJoNAr6DPEhJchLlixBUVERtm3bpmheJyHfiYmJgMTP8PAw5ubmRKkGKdra2hAcHKxoTCfU19cjLi4OaWlpUKlUihVRTU1N0Gg0VNyS2VT8ic0E4jvatm0bmpubkZaWJrs/Zmdn0draiqNHj2J8fBxTU1Oy20HK4m+66SbExsaiu7sbW7ZskR2GWlhYiMnJSWoYVvK1cByHl156CampqQHNRdNqtfjXf/1X/OY3v/Erqkh38tOnT+OHP/yh7IUpNzeX3qBMT0/jD3/4A5588kmRed7lciExMVEwDNXlctGhqURcNTY2Kh5f7777LsLCwpCcnCw7x4swNDSEiIgIPP/883j88ccRFhYm2u/EyP+9732PPpafn4/x8XFBR+6SkhJRZRufv/3tb5icnBQ8Dx/++yGpNT786BERPG63G06nk15A+SX9UhGkhc5CEkD79u0L2Ah/JZ6ghbE35jk30gP02muv4Qtf+IJf8dPY2IiMjAxERkaira0NGzdulBQ/k5OTmJiYEBlYOY7D/v37aXTJ4/Hg3LlzOHz4MB0R4Xa7wXEc1Go15ubm0NXVhSNHjqC1tRWrV6/229yuqqoKWq1W0TBKIPOIwsPDFc3Eg4ODMBgMAjGn1WpFFwEifg4fPiyIiKlUKjQ2NmLlypV0Hw8PD0Or1Qqek093dzesViuWL1+O4uJibN68WbFT8cTEBFpaWsBxXEBVcS0tLejt7ZUtqfZdq9frFdNBhNraWiQkJMBoNGJgYECxMSIRSqmpqXj33Xdx9913y67t7OykXZBHR0eh0Whkxc/k5CT6+vpop+vQ0FBZX5nH40Fubi4OHDhAjwElQfPxxx/D4/Hg1KlT6OjooONRpCDi4cSJEwgPD/ebIhsdHcXvf/97/PWvf/Xb8bqoqAgmkwkDAwN4+umnFdempqZi3bp16OjowPnz5/GjH/1IdMKfnp7Gxx9/LGhMqNVqcfr0aTz++ON02zmOw6ZNm2Qvgi+//DI2b96M0NBQKoCV6OvrE/RBkhKdpaWl+OpXv0p/fuONNxAfH48vfvGL9LGamhpZgevxePDSSy9h165duOOOOy5biJD0l9TFUiq1xv9D4Ish378XgkBaSH2ABgYGaHbC4/HQlgzBwcFQq9Vwu91IT0/322TXH0wALXAee+wxv2taW1sRFxeH6OhoxXSVTqdDV1eXYPr2wMAAYmJiEB0dDY7j6LDP3Nxc7NmzhxrrQkND6cGpUqkQFRWFzMxMtLe3IyYmxq/4aWhowPj4OB588EG/76e4uBgbNmwQNWr0ZXR0FDMzM/QCOj09jcTERJGniUSTDhw4IFmWvm3bNmosJyM7lMzeS5cuxZIlS1BcXIyNGzf6/ZKOj48HLH4GBwfR0dERUBVSc3MzIiIiYLfbZcUaoaqqCitWrEBiYiJcLpdsKT/gHfGxfPlypKWlYW5uDocOHZJt5Njc3IyQkBCaruFX3vlC/EF79+6lnb7lUmQOhwMFBQU4cuQIgoKCUFpaqjgb7e2330Z8fDyOHDkiKgDwxWw24/nnn8cTTzzhV/gA3vTiX//6V/z0pz8FIN8cEvB+xy5evIi1a9cqpi6J+XfdunUoLS1Fb2+vbNn9u+++i8cee4zehPX09ODjjz8WNGh0uVy4ePEibrnlFtHvu1wuPPfcc7jnnnuwZMkSjI+P+41g/eY3v0F0dDSeeOIJxXXkXOPxePDb3/4W+/fvF0VNNRqNZBrZYDDgpZdewiOPPILOzs6r2gCPj5I4AiApjnxTZ74NIV0u17yLHi0kD9Abb7yBc+fOQa1W09Smw+Gg78Fms+GJJ57A3XfffUXm7oWxNxiXTU9PD9RqNdLT0xESEiJrVLZYLKitrcWRI0fogdbZ2QmHw4GYmBiYTCYqcKqqqnD06FHExsaKvtxVVVXYuXMn1Go1bVyldDEFvKZFnU4X0MDO8vJyrF+/HiMjI4p+EzKDikSyGhoaEB4eLjlALy8vD3v37hVUDJnNZnR0dAi2fXR0FOPj47J9dkZHR5GSkoIlS5agpKQEGzZsUByCStJeMzMzAYmfgYEB6HS6gBpHNjY2Ijo62q8PBfB23k1PT6cpRKXPq7y8HBkZGVi+fDmMRiNiY2Oh1+sl19bX1yM2NhbLli1DX18fli1bJhuJ6u3thclkwo4dO2C32yVTlASz2Yzy8nJq5K+oqBD0svLltddeQ1ZWFl2j1FNpfHwcr732Gh5//HFYLBa/Aqi0tBQffvghbr/99oAiwR9//DF27typOG0d8JbQf+lLX8K5c+fAcZzk2AnC1772NfraFRUVGB4exne/+13Bmtdee02yr9DMzAx+//vf00iRP3EIAD/96U+RkJAg6TcieDweFBQU4OjRozCZTHjxxRfxla98RVSZ2t3dLSl+Ojs7cfbsWTz99NP4xz/+EVCn+GsF6XkkhW/0iKR/HQ6HQBz5ptOutTFbrgpsoQigzMxMrFixAjt27MDBgwexcuVKREZG0uiPy+WiN6tXEtVaGHuDcVkMDQ3RnjmJiYmCu3S+X8dqtSI/Px+HDh2CTqejZarr1q2DWq2mRmR+iblUCqO8vJw2qBsYGIDFYlH0EZA02dzcHA4fPuz3REBmESUmJipOAp6amsLAwIBgZpZcuJRUZvEvdBzHoba2FgcPHqQX9/HxcYyMjEheaIkPhbzX0tJSrF+/XvEuuqmpCR6PB9PT0wGJn4KCAphMJtxxxx20Wk6O+vp6Kk78UVJSgrVr12J8fBwej0ey4o9QXFxM39f58+cVB7JWVVUhJSUFy5cvp/4fOTHW2dkJj8dDIwNDQ0OyvZfm5ubQ3NwsEL979uyR3Y7Tp09j//792Lx5M4aHhxVTO11dXTh//jyeeuop5ObmSvbi4fPhhx/CbrfjzjvvVNwGwi9+8Qvs3btXsSwe8Faz7dixA2+//TYyMzNl1zc2NgpSWmfOnIHT6RRNWDcYDDh69KgogtLe3o6LFy/StFpubq7inDlSfbZixQpRRReB7Ns//OEPuP/++9HT04MzZ87g+9//vujiW1xcLJn6ysvLw/j4OJ588klMTEwgOztbsVz/RuIbPVKr1XC5XPRmSi69xh9MLeU3uhaptYXiAeI4Dvfffz8OHTqEv//97/jFL35Bu59v3boVMTExfnuoBcr83xsLgPnSB4gPGXERERFBfTpOp1MwDwvwbnthYSFOnjyJkJAQzM7OYmRkRLJBXnV1NVatWiUb1SAnz9HRUczOziqmidxuNzo6OqDX63Hy5ElRubkvdXV1mJmZ8ZtOIqLqwIEDcDgcmJycRFpamuTvyVVmqVQqwcV9cnISIyMjshc5l8uF3bt3IyIiAqWlpcjKylIUP6RX08jISEDip6mpCTqdDnfddZfiOsDr4wkNDUViYqLfnjlFRUXYtGkTOI6TbXdAKCgowLZt2xAfH4+xsTEcPnwYGo1G0vBcXl6OdevWISkpCW63G8nJybJirLm5GRqNRlDRJOfjmZycRH9/P02rEC+bFB6PB88//zweeOABrFy5km6THNXV1WhpacHjjz8OvV5PG1zK8dprr2HFihU4deqU3zluHo8HjzzyCL74xS/6FT8AsHPnTrzwwgs4efKkrPl6cnISlZWVVDT+8Y9/xIYNG0RNSA0GAzwejygFTYzIJIXV19eHzMxM2b5JZrMZv/71r3HXXXcFNDT30KFDaG5uRm9vL5566inR/7tcLuh0OkG6HQD++te/YtmyZXjwwQfBcRxsNpvi58ZnPp2DybFD/paKUvgKI5L2lEutSQmkQLaBsFA8QKQ55vLly/G9732PWhReeeUV6PV6fPvb3w6oaWkgsDL4TxkkqlBRUYFNmzYhPT0dRqORmpQB74iImJgYxMXFoaamBrfddhsiIiIQFBSE8fFxSfHT2NiIpKQkUVlsY2OjoPHd1NQUhoaGFMWPx+OhgxL5/XvkaGxsRGhoKHb8/+z9d3gUV5o9jh+1cg4IhCQkgkQWOYMAgQgGm2hMztE5jMczuxP2s7Pzndmd2QkGmxxEBpGDiBLKOefcyrlbUkudU/XvD/3una6u6hbjiGc5z+Nnd+Ryh6rquue+73nPmT7d4sOXBJaGhoais7MTCQkJZjUnxHDNuJKVl5eHtrY21nEikQg1NTW85KenpwdisRi2trYs8mOuOmUwGGhp/GXJj1AohJWV1UuRn8zMTPj4+GDChAn9Ti3FxsZi4sSJGDBgALy9vc2ORRNxOJmy0uv18PPz49VKGQwGJCQkYMyYMRg0aBCam5st7jpzcnLg5uaGkSNHUkGzOdTX17NIaGZmplmSqVQq8Ze//AU7d+7E0KFDYTAYMGrUKLPk+cWLF6ivr8eePXug0+ng7u5utuJAqiCTJk1CU1NTvztqlUqF3/3ud9izZ0+/4v6enh4kJSXhz3/+M7Zt22bxGjY0NGD//v3Q6XT429/+hgULFnDuUYZhcPv2bU61NjIyEjqdjgqR1Wo19cPiQ3V1NU6cOIGlS5fSNkR/KCgogFwuNyvUF4vFWLFiBf3fRHQ+depUurglJCRYrPQqFArs2bPnJ2uASFprNjY2LMdsZ2dnOtZv7GbPMAw0Gg3NWpPJZFAoFCzHbGII+VNvgRmvCUqlEtOmTcPevXthZ2eHiooKs1Oe/yx+GmfjFcKrovgnJVRCbMj/7enpwfnz57Ft2zYIBALY2dnB2toaCoUCNjY2rNJhbGws5s6dCxsbGyiVSjg6OvL6eJSVlcHFxYWzi2xvb8fAgQOpdqS7uxvl5eVmWyNarRbx8fGYPn061RHZ2NhYfIClp6fDw8PD4sQO0Gcql5eXRzO73NzczAaCJicnc8TJjY2NGDx4MMt+vaOjA7W1tbw5YM3Nzairq6PC2/7IDxGhTpkyBUVFRS9FfiIjIxEYGMjbljB9wKWnp0MikfRLfAwGA168eIFZs2ahqKiIZYtgCpK/tWDBAtjb2+PZs2cIDw83u5uNiYnBtGnT4ODggMbGRohEIgwePJhXFJyWlobhw4fT811QUGC2OlJVVQW1Ws0i1SRuwxQdHR2IiIjAp59+CoFAAJVKZVFMfefOHbi6umLDhg3Iy8vD4MGDzXrfqNVqfPnll9izZw+io6PxzjvvmL2GVlZWaGtrw9mzZ/HrX/+63xYOwzD44x//iAEDBuDnP/+5xYXKYDBgxowZ6OzsxOnTp/H+++/Dzc2Nc088f/4cb731Fus9jh07hgULFrBa04mJiWZ1P0lJSRAKhThw4AAeP35s1mGd4Ny5c9DpdFi0aJHZ9ndNTQ0cHR3pd2xra8P58+fp9wD6CJJOpzN7b1ZUVODcuXNYtWrVdxqN8KrgZYXZxhUkPk8jpVKJtLQ0lJSUoLGxEU5OTvQ38SpDr9dDJpOhvr4eGRkZSEhIgIeHBw4dOoQFCxZ8Z0TOKi4u7tWpG35LWHIi/i6hUqkA/KPEKJPJIBAILNrufxsY3+DGZMdgMNDxQLKTqK+vx7Bhwzg3iEwmg7W1NSVAhATo9Xrk5+dzxr8JqqurodVqWQtrb28vp20klUqRmZlpUUBZW1uLwMBAxMbGYt68efR8kWR4T09P1oISHR2Nrq6ufqMHjEWxubm5mDJlitmFKTU1FSNHjqREhYxYmkIkEqGyshLjx4+Hk5MT59xoNBr6t5SUFIwcORKDBg0y+xnr6urg7u6OnJwci+Jt4+/u7OzM64UhkUjg7OxMWy/JycmwtbXF0KFDWQTOFKSaExoaiubmZnh5eZklBoSwLV68GHZ2dqiqqsKwYcM47R69Xo+uri7k5OQgLCwM1tbW0Gq1kMvltGKkUqnoQkaqRBMnTnypEVbSIiNtsdbWVrMEpbKyEs+ePcMHH3xARfzGE2imiIiIwPjx4zFz5kzIZDJ0dHSYrYJ0dHTg3Llz+Oyzz2Brawu5XM5r2kcmJWtra/H48WMMGzbspaIzoqOjUVxcjM8++8zicY8ePUJwcDB0Oh3i4uLw/vvv0/uXvLezszOtsJLWI5mo2rdvH4uk5+bmwsvLi7ddGhkZCXd3d7zxxhvIzc3tl/xERUXh/v37+NOf/mT22qrValy7do1WhjIyMpCbm4tDhw6xfodFRUVmMwWjo6MhEokQFhbG8v5iGOalhOvfJ16Fz0AqzaTi8/DhQ1y/fh0FBQXo7OyEVquFv78/goKCsHPnTrN6LnOIj4//fj64ERISEnD9+nW0tLRg5syZ2Lx5M4KCgqiEA8B3ogt7XQH6DvBdVoTIJIEp2QHAKpcaj5wb42X685mZmQgODoaXlxc6OjrMVkpItpjxTq6srAxyuZzVJlOpVHQknQ9k0Ro+fDji4uKoXoaAfAdjt9+qqiq4u7ub/WwESqUSqampWLJkCdLT0zFixAiz1yMtLQ1BQUF0Aejo6EBpaSmHOIvFYlRWVmLevHmcCSfyYCY/vuTkZIwaNcos+SFk0cvLC9nZ2S/Vuy4rK0NAQEC/VS+gb/c+bty4fseW9Xo9oqOjsWjRItjb2/cb2hoXF8dqT5o7nhy7fv162NjYoKWlxWy0CmlzzZkzBy4uLtRg0twEV1ZWFnx8fGhmWXFxsdmKQGZmJkpLS6mmRafTQavV8k4YMQyDr776CitWrKDmkC4uLmYXrfLycsTExOAXv/gF0tLSMHHiRIuOxcnJyejo6MCAAQPwzjvvmD2O4M6dO7CysuqX/DQ1NUEmk6GpqQkikYhlJGiMzs5OtLW10e9eWVmJR48ecSpLEokEjo6OHPLDMAyOHj2KsLAwTJgwAZWVlf2Sn/z8fFRXV+PLL7+06DmVnp5Op8du374NOzs7vPfee6xjCgoKzJKfc+fOISgoCJs3b/6XrPx8FyDPP9IBePvtt/H222/j3LlzYBgGmzdvhlAohFAo7NeepD9cuHABz58/R09PD6ytrTFq1CgcOnTopdYhS3j8+DEqKiqwcuVKuLi44P79+3TDb2trC5lMhk2bNmH48OHfKgrjNQH6EWHsmkyYrV6vZ/WGHRwcqHPytyFaRKidn58Pb29vSCQSDB482OzC3dLSApFIxNEDDRo0iFU10Gq1VERt+vkYhkFiYiL9MSQnJ2PSpEkW/TxIm8zX19dimjjQR7wSExPpe1uaxMnIyMCwYcNYY7gSiYSX/FRUVPB6yhDRMEFycjJGjx5ttu1VVVUFmUyGESNGIDc31+L4NdCnAblz5w5CQ0MtEhSCmJgYqFSqfsmPVqvFixcvEBYWhpSUFIufg7hkL1++nFbWzJFQqVSKhIQELF68GCqVCjU1Neju7saECROgVqupUNNgMEChUCA+Ph7h4eG0dZWammp2YeUjlj4+PrznOiYmBj09PSy9iZWVFS+BVCqVOHz4MPbv3w9vb2+0tLRAq9WaXQiIB8+HH36IuLg4CASCfuMabGxsaGxGf4v0b3/7WwwYMMCsw7Ex/Pz86PNh8+bNvMcwDIOLFy9S4XFsbCyam5s55Eqj0aCgoIDjCdbV1YXTp0/jwIED8PLyQmZmZr8mmlFRUWhubsb777/PK4onkEqlmD17NgQCAb7++muEhoZy/KmIHYLpeZPJZDh+/Dg2btwIgUCAu3fv8o71/9h4lYTYptDr9bCzs4Ovry98fX1fSpDfHxYtWoT169fD1dUVWq0Wd+/exS9+8QvcvHnzWwmu582bBxcXF6hUKupuTtp7VlZW6Orqshii/LJ4TYB+AJhGRBCiQ9ovxpUd44iI7xplZWWwtbVlTdLwQSQSob6+nmpPxGIx1Go1/P39WeSHhIZaSiyfO3cu7OzskJ6eblGICvQ9IKOiojB27FiL+VrAP4zwgoODUVNTY9G7JjMzEwEBAbR10t3dDU9PT040hFgsRnl5udkHg7G2qT/yA/SFcQ4cOJClTbIEorfpzzeJ6Hjs7e1ZQlI+qFQqSlCzsrIsXneJRIKcnBzqkl1TU0MrVqaVSZFIhIKCAjrFIxAI4OHhgdGjR1MTOHLPKxQKZGRkYMGCBdBqtdDpdLCyssK0adMgEAjo/yaLXmxsLKZPn07bN6Stw3eub9++DXd3d7oYtrW1obu7m/ccEo+fzz//nLaxGhoazBLnqKgoMAyDnTt3wmAwYMiQIRaJ6alTpzB16lR0dHTQPCpz0Ov1+Pvf/46BAweaNTgkYBgGWVlZyMjIwNKlSy3qvMrKymgw7tWrVzFw4EDs2LGDc1x0dDTn3snPz0dycjK++OILCAQCqNVqdHR0sHREpp/rzJkzkEgkWLlypcXvIJVKUVBQgJEjR+LChQs4ePAgr5VGVVUVx6yxuLgYL168wGeffQYbGxscP36cUzV6DS74psBexhH+nwGpzgKgFRqS82gp+qc/rF69GqtXr36pY7/NWvmaAH1HIMyfLBTG4+bGERGmlZ0fqoxLpon6y/eRSCQ0WBXomzYRi8WcnbrBYKChoabfobS0FEOGDIGbmxvs7OyQlZWFoUOHWtTIkPceO3Zsv+V2UtGYMWMGenp6+nUt9vPzg5+fH7RaLfX9MYVYLEZZWRlnLLepqQm2trYsspScnGzW58dgMKC1tZVOSpEkeEvQ6/UoLi7GtGnTLIZUktePi4tDeHh4vz4/crkcqamplKBaMgvs6OhAeXk5wsPDKXEZPXo0FAoFvYdJZbKzsxP19fV46623YDAY0NjYCC8vLwQGBkKr1dLjrK2t0dPTg+zsbBpjoNfrUVRUhPHjx3NcdbVaLZKSkqjoWqPRoLKykp5/0wddREQEQkJC6PXU6/VoaGjAzJkzWSG7QJ8bemJiIr744gv6Os7OzmbJz+XLlzFs2DCEhoaitbUVjo6OZsmPRqPBl19+ia1btyI9PR1+fn4WH8pdXV04deoU3nvvvZfyavrrX/+K3t5efPbZZxY3EC0tLRg/fjwEAgH+/ve/44033uAlS1lZWZg7dy7rd/vo0SOoVCpWW62np8cssZFIJDh58iR27NiBgoIChISEcM65MW7duoXRo0fj3r17+PnPf8773Ovp6eFcj4cPH0KhULCMHQ8dOmT2fYC+Z11/m4jvE6/CkAwfvq8psLS0NPzhD3+AXC6HlZUVNmzY8K3ID/CPIR/A/Pn8Ls7zawL0LWA8hcUwDHp6emgJmGh0LOl1fiiUlpYiMTGRY5BmCrlcztGpBAYGslg+8A8x7aJFizii2NLSUri4uNA2V25ursXJGr1ej4SEBAwYMAAqlcriIg307WKePn2KFStWwMbGxmL7Jzs7G4MHD6b+NjKZjHeKqbOzk5f8dHR0QCqVsggZieHge1+FQoHExEQsXLiQEipLZoFA32LU2tqKSZMm9duPZxgGFy5cwMiRI/sV3EskEuTm5mLcuHEoKSkxW1EjBKa+vh7Tpk1DcXExOjs7MWHCBHrfOjg40IoGme4ipC4nJwcAeIlba2srhEIhFixYQFthL168wMKFCzn3jVQqRVZWFt544w068ksqSf7+/vThShbO48ePY8WKFRg9ejQti1tbW/O2TRMSEtDc3EyrBlKpFL29vbwWCWRSKjw8HGPHjkVtbS2SkpLMOjG3tbXhwoUL+OSTT2BnZ4cpU6Zw3I6NUVJSgpiYGAQHB78U+cnNzUVvby9+97vfWdwsJScnw83NDRqNBpGRkayJKmPU1tbC39+flU135swZhISEsMhHdnY2goKCeN+zsLAQ8fHxtFJkLoSYoLGxkfr+mCMvIpEIra2tdIPGMAyOHz+OGTNm0GsqEolo8jsfGIbB3/72N4wePfpHJUCvKr4vH6A5c+YgKioKvb29ePbsmcWq+Mvih5q2fk2AvgG0Wi0UCgX1syH/GC8Ur9IugARnWvpMJH5g6dKlaGpqQnNzs1kyQqa4jEcpySJkbExXUFAAT09Pi4niRUVFGDlyJCoqKvrVyOj1ely/fh2+vr79/pBzcnIwaNAgBAQEoKKiAqNGjeINJO3s7ERpaSmH/AB9eifjUWuiATI3OWUwGLB8+XKIRCJUVVXxvqYxJBIJuru7MWXKFIvnCOh7eEVFRWHatGkcQmoKkUiE8vJyzJs3D6WlpdTawLQVq9PpUFNTA4lEgilTpkCv10Oj0WDevHm8hL2qqgoKhYIuSAaDAQMHDuQVD9fW1qK7u5vmegF9DzW+JHKxWIzS0lLWv9Pr9bC3t8e4ceNYbrpqtRqHDx/G9u3bMWDAACgUCnR2dlKtFTGLI3qBu3fvwtHRkXrekHYcnxhdoVDgq6++opENBoMBtbW1ZslPQUEBbRmRGJQRI0ZALpfzHv/ixQu0t7fT89AfHj9+DIlEQjPGzKGrqws9PT1wdHTE/fv38cUXX/D+PiQSCTo6Oujvure3FydOnMD27dtZJKasrIxOZZri4cOHUKlU+Pjjj/HgwYN+2xStra24ePEi1q9fb7Z1ZzAY8PTpU9qqI63K/fv3sypely5dMquVqq+vx7Vr1xAcHPxSU3f/F/F9O0G7ubnh7bffxurVqzFkyJBvLYT+IfCaAH0DkIA2YlClVCphMBh4fUleBaxatQoKhcKsQI+M1C5fvhwGgwFSqdQs+UlISMD06dNZu7CCggLY2NiwBMLFxcU0EJUPRNfh5+eH6upqTJ061aKAkHjSzJs3r982UW5uLgYOHIjAwECLLQk+8iOVSnlDVhMSEjBhwgTeFkR5eTlGjhwJZ2dntLW1oba21mIwJ/FkKi8vR0hISL87aLVajRcvXmDVqlWwtraGRCIxe2xLSwsaGhowf/58MAyD8ePHQ6FQUNJDWrHEMgH4R2CllZWV2fZjcXExbGxsqPMwmW7z9/fnTMpVVFTQ1yIaIJFIhOHDh3OuQ2NjI1pbW1mVsuLiYjg5OdGRdLLBkEgkOHXqFH72s59R8i2VStHY2IjZs2ez3HT1ej2uXLmC0aNHY+bMmVAqlRAIBNDr9QgLC2NtXoC+BfTWrVv47LPPYGdnR8+ZOVIeHR2Nzs5OfPDBBygsLERlZSU2bNhg9h6+evUqfHx8sGXLFkil0n6DPf/0pz9BpVLh//2//2fxOACwtbWFTqdDXV0d9u/fz1u1IZXWNWvW0HMcGxuLn/3sZ6xFkWEYdHd3cwgiwzA4efIkpk2bhpkzZ+L58+e8O33j61tVVYX/+q//wsmTJy1WLDMyMqiGKykpCeXl5Zw2WVlZGVasWMH73WJiYtDY2Ijw8PB+f0v/V8A3GcUwzPduhEh+f83Nzd+KABnbjHyfeE2AvgFMhcqkZP9TBMMwiImJwcyZMyGXy+Hi4mJ2p5aSkoKQkBBW6V4qlcLHx4flP1NeXg47OzveMrROp0NiYiLGjBkDlUqFqqoqzJs3D11dXWY/o1qtRmRkJLZs2dJv7EBeXh4GDBhAqySzZs3iJT/mND8NDQ285Gf69Om8O+Ls7GwMHDgQ1tbWlHxYylNqaWlBVVUVrK2tMXLkSIvtEqCPaBw9ehQffvihxaoXwzCoqalBe3s75HI5hEIhPD09qU+Ura0trVBaWVmhqKgIdnZ2GD16NA04NdemzMnJgZeXFx05ffHihVmn74KCAtjb21PvHdLa4tOSVFZWQq1Ws9pWcrmcRX6MjzVNOAcAV1dXjmidYRh8+eWXWLp0KdUaKZVK9Pb2wsvLC2q1mpXDlJubi+LiYnz88ccQCATo7e3FrVu3sGfPHt7veOXKFfj6+mLz5s1gGAZtbW1mA2rJyD3JFbOysup3CvLw4cOwsbF5KfLz+PFj2r6cMWOG2epTTk4OvQaPHz+GXC7niK8NBgPq6+s53lMikQgRERHYu3cvbf1OnjzZoqYvOjoacXFxOHz4sEXy09raiqlTp8LOzg7nz5+Hv78/Dhw4wDmO75lERNhjxozBmjVr0NbW9lJtxe8Tr/IU2PdRAbp16xYWL14MLy8vSCQSnDlzBjY2Nv0OsfSH6OhoeHh4YOTIkXB1df3Osr9M8ZoA/R8G0fKQKoylsfP09HQEBwfT9k9dXR0CAwPh6urKGguuqqoCwzBmPWykUikWLFgAqVSK4uLifttERGPx0UcfvRT58fLyorvhYcOGmSU/5eXlrPcmpnHGVSygr+01c+ZMXvIDgNoENDU1oaWlpd9QTPIA6i8sFegjP/fu3cMXX3zBenCRXZaxV5RQKIRSqYSHhweCgoIwYMAASnZMYUxompubMXr0aLPi2tTUVAwbNozurDs7OxEaGsrrJJuWlgZfX1/Wwujs7MwbdFtQUAAnJyeW34vBYICzszOH/KSlpaGiooIlhO3o6ICVlRWnCiGXy2kby93dHQKBAFqtlpUeT96LYRhERUVBq9Vi9+7dNErgzp07WL9+Pa0aGW92jh07RjO6CFkzF5pKRsoPHTqEjIwM2NraWpzgam5uxuXLl/Hhhx++1LTOqVOnUF9fj08++QSDBg0yu/hmZ2djxIgRsLa2xunTpzFhwgReQnr//n1Oay4jIwN5eXm0IsMwDFQqlVnywzAMTp06hbFjx+KTTz6xKNpWKBQoKSnB9OnT8eWXX2Ljxo28howxMTGcihRpk+3atQs+Pj6IjY3FwoULqUnta/BPgX3XBCgnJwdXr16FUqmEk5MTxowZg7/+9a9mZQIvi/b2dpw/fx4+Pj6YPHkyZsyYgYCAALi4uHynlaHXBOj/MGJiYjB//nwq1DaH7OxsBAYG0mpFRkYGvLy8OOVooVAIlUrFa2JWUFBAwzR7enpQWFhocSQbAPUt+vTTT/ttL+bn58PT0xP29vbQ6XRmg0BFIhEqKipo1YD4DplGgBgMBsTGxmLq1KmciYbm5mbIZDJa5aivr4dYLLZIIGtrazFs2DAUFRVh2rRp/U5JNDY2orq6Gjt27IBOp4NKpaKkh4RE2tjYwMbGBrW1tbCxsXkpX4/U1FQ6kWcwGMxmpRkn3A8YMAByudys6JycK+LxpNVq0dTUBFdXV159UHp6OoYMGcIKX01NTcXo0aM5D86oqCjo9XqWxw+JKDFt0zY2NiIyMhKff/45ncYE+sTvptojKysrXLx4EaNGjaLtSjKtSbQoZEqNYRh0dXXhzJkz2Lt3Lzw9PdHY2Ijnz59jx44dHJIE9LWYEhISqFB4wIABvBl7xuckPz+ftlL7AzFb/P3vf88idaYoLCyEm5sbBAIB/vKXv2DHjh28lb7y8nIMHz6c9d7Xr1+Hq6sr3n33Xfq3o0ePYseOHbxVHbFYjIiICGzZsgVisbjf6ubjx4/h6+uLy5cvm50Mu3z5MmeTFBcXB6FQSP+b1NRUjp/Qa3DxfYig//u///s7fT2g7z7eu3cv9u7di4KCAsTGxuL/+//+P3h5eWHGjBmYM2cOhg4dCkdHx2/9fV4ToP9DMH5AXrlyhcY8WEJ+fj4GDRrE6q3PnDmTs7uoq6uDTCajGhFjJCUl0ZKoVCpFTk6ORcGzUqlEVlYWVCoVwsLCXor8uLi49Jt+bkp+gL6KweLFi1k/JLKgz5o1i9PalEgk6OrqoiSvtrYWEonEbEtIrVYjISEBs2fPRkxMDGbPnm3WSI8s2tHR0WhpacGGDRvQ3d0NKysrOpHl5OREW5W2trYoKChAb2/vS9kpxMfHIyQkBFZWVkhMTDR7DUhbdN68eXB2doZIJEJxcTHvOL9er0d8fDzeeOMNODs7Q6vVora2FgqFAkOGDGEZ45ER/kmTJrGITmNjIy/5uXTpEoYPH84hdgMGDOBUIHJycpCTk4Of//znAPo0BCqVClZWVpzX1ev1OHLkCFatWkV1CmR6asuWLfReIP+3vLwcz549w69//WsIBAJoNBrExMRg69attAJH7hMrKyvExMRALpfj4MGDkMlkcHFxsRgOfPv2bdja2oJhmH4rogBw9uxZuLi44De/+Y3F4zo6OqjvUnR0tFmSYTAY4O7uTomRWq3G0aNHsWLFClbFqrS0FPPmzeMl78nJyXSzcvnyZRw8eNDiZxOJRGhvb4ejo6NZR2ug71lDpiMZhsHZs2cRHByM/fv3A+irSDo5OcHLy8usCeOvf/1rrFu3ziIB/S7xKg3AGOOH0AB9FyATo0Bf5t+kSZPw2WefobCwEC9evMBvf/tbeHp6YtasWVi2bFm/z32L7/U6C+yfB9EQkBtdpVJBq9VadIj9saFUKqHX6+Hi4oLc3FxYWVnxBp8ag0QPDB8+HLm5ufDx8eGtGJDR6P78e4wzu0zR1dUFd3d3WFtbIz09Hb29vZg/f36/vd/8/Hx0d3fDwcHBovamo6OD6o2AvnHkcePGcR5WJNRz7ty5cHZ2Rm9vL+zt7WFra8sZzRQKhZDL5Ra9lYgwl1TbCOE09osybme1tLSgoqKCjvnzGWOSLLCCggIMHDgQOp3O4tgvef9Zs2bBzc3Nok8KibYIDw+nLce2tjbejDGVSkVNCwkh0Wq1UKvVtEyt1+uhVCphb2+P2NhYLFiwoN9rSqIYli5dymql1tTUICAggNMKffr0KeRyOcsZuKenB8nJyVi5ciXr3HV2duLMmTN4//336e9Vr9fj4sWL2LJlC6e1Fxsbi9bWVmzbto11PgH2Qkcm1SIiIjBkyBCEhYWhtLQU+fn5NA6DjPGTfwwGA44fP4758+dj6tSpkEqlFp8hDMPgP//zP+Hl5cU7DUVyqJydnaFSqVBeXo6amhrY2NhQ8bMpyGaDiNArKirw6NEjvP/++y8dmHnp0iUMGjQIixYtQk5ODiZMmGAxC6u+vh4nTpzA3r17zXormZ7j5uZmXL16FTt37qSVJYPBgIyMDNp2Ns2dE4lENP7h3//931/qu3xb6HQ6aDSa7y0X8mWhVCqpDQvBv/3bv2Ht2rUvNYFoCT9EFpgx+H5vxcXFePLkCTw9PbF169ZvfL5ffTr4iuLb5I/82OiPqAB9UxcODg4YPnw46uvrERgYyNv+aG5uRnt7O2t3pdfrkZiYiJCQEKrRUCgUNLOLDwaDATKZDG5ubpBKpQgNDX0p8uPh4cGpUJmivb0dQqGQldweHBxslvwYB7UCfeSsuLiYVSmqrKyEVqs1S34KCwsRFBQEBwcHPHv2DGH//6BQuVxOSQ8A2sYiI+lWVlYvZfGflpYGb2/vfr2DSKhpWFgY1UeYIz9kAm7ZsmUQCARoaWmBn58fL/np7u5GTk4Oli1bht7eXgB9lgZjxozhjTEgxJecP+LkbWqkqVQqceTIEezdu5el76msrIROp+OQn0uXLiEwMJDjHiwWi7Fo0SLWNS4rK0NMTAxtSwH/CI7csWMHZ3d89epVDBo0iJIftVqN27dv05F6Y2i1Wnz11VdYt24dBg0aBFtbWwiFQuzZs4c1xk8IcUdHB86ePYvdu3ejpaWFTgaSCBFCesk/XV1dOHHiBCZOnGhWcE1AKj7E8d1ce8hgMOD8+fO0xfXo0SP09PTQGA2Cnp4eGphsjN7eXpw6dQrr16/HiBEjIBQKMWXKFIvEKTMzE19//TXOnTtnsRpx+vRp7N69G3Z2doiOjkZjYyO++OIL1jHp6elmxbaxsbE0wuSHmCb6KeD7HoP/vmC60QCAkJCQby20Bl4ToNfgARljJjspc4tsa2srmpqaOFqM+vp6zJ8/n/7YlEolkpOTeT1ggL7qTGpqKhYvXsxLQPgQGxsLd3f3fsufZCzdeLKFb0SdjNkvXLiQ8wDv6elh7ZrKysoAgCOYBvp+oEVFRXBzc4NOp8O9e/cwf/58qtmxtraGvb09nJ2d6SJXX1+PtLQ0jB07lreFaIr4+Hgolcp+dQ9KpRKJiYlYsmQJUlNTERQUZFZ7JBKJqBcP0KfJMdboGKO5uRl1dXVYsmQJbTuQ7C5TdHR0oKioiCMUrqio4JCflpYWXL58mY6iG2P48OEs8sMwDI4cOYI33niDVSVSKpVwdHREQEAAqyWSkJCApqYmGpYK9JGwqKgorFu3jnVfksmtpUuXUl8rvV6Pc+fOYe/evZzvWF9fjxs3buCjjz6Cvb09yxEX+McYP/muubm5SE1NxW9+8xtERUVRx3RTZ2zysC8sLERaWhoOHToENzc36PV6i15jkZGRqKurw8cff2xx4qywsJAStOPHj2PatGl48803WccwDIMTJ05wyAeJ5vj0009hY2MDoVCIxsZGs5oyoK/t3tTUhJMnT1pciNPS0jBu3DgaezFhwgTOeW9uboajoyOrYkZI5vHjxxESEoLVq1d/59EPP2V8X0aIPyS+66LDawL0GiwIhUJqLmfp4UmEqIRYGAwGCIVCBAcHs6Z4TANL+WBra4sFCxYgLS0NoaGh/ZKfqKgoCASCfo0TW1tb6Vh6dnY2fH19zbr/Pn/+HIsXL6YLL8MwaGlpgZubG8t3qLi4mKapk509aWGRNtaQIUNo7MbKlStha2tr0Qm8p6cHkyZNsjghBPyjQjVy5EhaXTIHiUSC7OxsLFu2DEqlEtOmTTO7GDQ0NKC1tZXu8A0GA0JCQnivv1AoRG9vL4dEzps3D1ZWVtBqtfRvtbW1EIvFLPJJKqemQvnCwkKkpKTgF7/4BevvVVVVGDlyJIv89Pb24tixYzh06BBrOq+jowPV1dWcMe5bt27Bzc2N1cbSaDQ4d+4cxyC0s7MTp0+fxrvvvssii2q1GgcOHOAs3CkpKSgvL6cEoa2tDU+ePGGJto1x7949MAxDdS/Dhg0zW0U0GAy4ffs2GIbBgAED4OjoCK1Wy4oJMG6pAcDFixfBMEy/+qCysjJMmjQJjY2NuH79Ovbt28c7saXX67Fv3z4WUb127Rrc3Nzod9Dr9cjJycGaNWt4hdikUhQeHo6VK1f2W9mdPXs2hEIh/v73v2Pfvn0c0q7X66n3kzEqKytx//59vPfee7Czs0NERATNRfu/iB/DB+inhtdn4zuAsWjrVUZ/n7G2thZyuRyTJk2yaEUuFotRWVlJxalSqRQZGRmchUetViM+Ph7Lly/nvJZMJkNdXR1CQkLg4eGB+/fvY9GiRf3u2PLy8hASEtJv5ae5uZm6WdfX12PEiBG8D3jSLliyZAldZDs7O5Gbm8sZq83Ly4ODgwOGDBkCqVTKMhasrq4G0CfaUyqVyM7Oxpo1a8yeQ51Oh/z8fNjY2MDV1bVf636dTofz589j27Zt0Gg0FkXP7e3tqKiowKRJk6gmxByqqqqgVCoxa9Ys9Pb2Qi6Xw9fXl5f8EO8goh3r6upCR0cHBg0axPmeJSUlsLa2xtSpU6kTdENDAzo7Oznas9jYWHR0dHACLkmr0vTzRkVF8bodS6VS1j1IqgFz5szhVMukUikOHjzIOo9FRUVISEhgeQ0ZE3hT3LhxA66urti3bx+Avmt0+/Zt3vBRErExZ84cTJs2DRKJBB4eHmbJD9FBhYaGoqSkBJs2bWIRB9OWGsMw+MMf/kA9cYyjQ4xbagKBADExMRg2bBhiY2NRV1fHqe4QdHZ2YsCAAbT1LZPJcPLkSaxevZql3RGJRFi3bh2vF1p6ejqys7OxdetWtLe3m7WTIN+5oqIClZWVkMvl+Pzzz3mPS05O5jxrbt++DY1Gg48//hjOzs64d+8er5/Q941XeR34qbbAgL4NC8MwL61Le1n8MEmc/2L4KWp/+vvMVVVVeP78OQ1TNHd8V1cXSktLWZM5rq6uWLJkCatyo9FoEBcXx1v5kUqlKCwsxPjx42lVw9Rd2hRCoRDXr1+Hl5dXv+SHePKQys3QoUN5yY9Wq0V0dDSWLl3KqjB4eHggPDycGlyqVCrEx8dDIBDA19cXer0etra2cHFxgaenJ6ytrTFw4EBMmzYNMpkMWVlZZtt9QN9DMjExEXq9Hp6env2SH5VKha+++gphYWH97p7r6+tRX18PHx8fNDQ0WDynhYWFAICJEyeiqakJRUVFZs0QMzMz4ebmRkf/e3t7UVFRwStizczMhKurK6s1xTAMZDIZh/zcvn0bOp0Omzdv5rzOrFmzWKPUKSkpSElJwWeffcYiP2q1GgBb2ySTyfDll1/i7bffZpGf1tZWJCcnY8CAASzy8/TpU5SWluLDDz+kf9dqtTh+/DhnuIJhGBw+fBhjx45lJarb2Njgvffe45BTsViMP//5z9i8eTOmTZuG9PR0vHjxgvN9CZqbm/GXv/wFO3fuxJgxY/D2229zrjvJPiOp9r/97W8RGhqKNWvWwNnZGQ4ODlS4zzAMNBoNlEolKisrYWNjg5iYGOh0Omzfvp3TciPnOj09nf7vnJwcnD9/Hp988gnrmufk5MDR0ZH+fozv+fPnz6OnpwfvvvsuYmNj+x26OHnyJG7cuIFhw4bx6qyAPt3fiBEj6Pv19vbib3/7G8aOHYt33nmHvv/atWvNan80Gg3+9re/Wfws/4r4qRKgrq4uPHr0CBEREYiLi6Oaw+8CP72z8RrfC4qKinDw4EGLREkikdB0c5FIhKKiIo7QFOhbOGJjY6mY1vjvpOIxd+5c6io8e/ZsKgrmg0KhQGlpKfV/sISGhga0tbVBqVRCKpWaDebTaDR48eIF/YwKhQJpaWmYNWsWXRDIpE5eXh6GDRuGoUOHsr6PWCyGh4cHXFxc4OLiApFIhLKyMoutOdICcnBwQGBgoFnCQdDb24uMjAx88skn/Y66V1ZWQqVSYebMmf0+7DIyMuDr60sds/38/Hg1PwaDAQkJCRg/fjzrXLq5uWHOnDmcMff4+HiMGTOGRVw0Gg1cXFxYOXFAn9B16tSprBFxjUaDhoYGBAcHsz7/3bt3YWdnx2ktET2WcfuwsrISDx48wMcff8zSiHR3d+PBgwecQM5z585h1KhRHCF1T08PPv74YxbZIgZt7777LnUdFovFyMrKYpEhguzsbGRlZdGqEomaMCd0T0pKQmVlJX7xi1/g6dOnWLhwoUXSm52djefPn2P37t0YO3YsFAoFJUemFTKJRAIbGxtkZmZiy5Yt8PHx4R3jFwgE6OjowJtvvgmdTofIyEi4u7tzxtXT09Oh0+k47svt7e24cOECtmzZgoCAAOTn5/MSXNPXqqqqwv/8z/+YJS4SiQQajYbm5iUlJaGwsBAff/wxHSTo6OiATCYzK5DNy8vD3bt3sW7dOouf59vgVdgg81WifqoaoEuXLmHAgAEwGAy4ePEiHj9+jF/84hffSejqawL0HeFVLn2+DNavX2/x3/f29iIvLw+LFi0C0LeY8C30Wq2WRSwIqqqq0NbWRitHhPzMmjULrq6u6O7u5pzDpqYm+Pr6Ur1CfyGgdXV16OrqwvTp06HT6XgfpAaDAXK5HHFxcVi4cCGkUikYhkFWVhZmzZpFR0dJqC1J7jatOhUXF0Oj0dD2QGtrK+rq6symvxO/nClTpqCoqAjjx4/v1wk6Ozsb1dXV/S4eQF81x7gVa478GBMab29vZGRkYNasWbzkSqfT4cWLFwgNDaWVpOTkZEyfPp1TitZoNIiNjcXcuXPpezMMg9jYWIwZM4ZVgdNoNPjyyy/pAklAWqmm99WZM2cwYcIEjther9fD0dGRdW3i4uLQ1NSEjz/+mOMLo1KpWORHrVbjq6++woYNG1ivIRKJ0NTUxKlYZGRkID8/nzVFJpVKcfHiRd6xdOLvQ1p7hFTzESWgT7/j5+eHffv24fbt25gwYYJF8hMZGQmVSoXVq1fTyA9zkEgkOHv2LNzc3Fifn8B4Us1gMGDlypXo7OzE+fPn8eabb9KQV9JOU6lUEAgEdCNDFn1y/onnUF5eHiZNmmSRvEdERGDQoEEWqzIGgwHl5eU08+3kyZMYPXo0R+Nz7do1/PKXv+T89wzD4Pz58xg4cCCmTJnSbzXqXxE/VQ3QlClTWM/VoqIiXL9+HYcOHfrWE34/vbPxCuJVYPzfJ2QyGTIzMzFx4kSIxWJ4e3vzTvyQkWtT8gMA7u7utHRuSn4A7jkkbZS2tjb4+Pj0m5ZeU1ODlJQUvP322xAIBLCzs6NeO8aREWSRXbp0KaytrcEwDDw8PLB8+XLOayYmJiIoKIh3DHzkyJHUoLG+vh4dHR0WfYgIOYqPj7dohkiQn5+PmpqalyI/mZmZ8PLyQmNjo0UvLL1ejxcvXmDu3LlwcXFBUlKSWUsEmUyGlJQUhIeH04dmUVERJk2axCE/vb29dCRer9dTIXRLSwtCQ0NZRIREGHz88cec13F2dmbZJJBcLFOCAvwjTNf479euXcPAgQOxY8cOaDQa+vfCwkI4OTmx9ER1dXW4ffs2PvzwQ9bnEIvFuHLlCicni5AZ0+qRo6MjPvvsM9b9q9PpcPjwYSxatIhO9eXm5qKpqYk3PV0mk+HEiRN0nFwqlWL+/Plm4yZUKhWOHj2KOXPmQKlU9jsOrNfr8cUXX2Dz5s0IDw/nPYaQZ+K1k5aWhry8PPzyl7+k/45ojlQqFTo6OmjQLgGJ2di1axc1vRw8eLBZ8tPc3IwrV67A1tbWbO4aAXF7Lisrw+PHj6kjtzG6urqwceNGXof6+/fvY8uWLejs7OR9dv0r4oeIwvghoNVqkZ2djWHDhsHR0RETJkxAe3v7d2Jv8NM7G68AfoqE55sKtUlrKCAgAG1tbWZFm0RMvGzZMlpmraqqgqenJ7y9venD3Nhl2RIJmDFjBnJycjB48GCz49gEQqEQubm5ePPNN6nXDiE9pB1ASuSlpaVYt24duru7qXCbbzccFxeHKVOmsB4YDQ0N0Ov1GD58OCU/QqEQMpkMM2bM4P1sxEtn2LBhiI6ORlhYmEUhn16vR11dHRiGwcaNGy1+b6CPpI0ePRo+Pj4W05eVSiUSEhJYBofmXIc7OjpQUlJC9VvmJreAvkWMJHWTz9/d3Y2BAwdSJ2gigs7Pz0d6ejrHkbi8vByBgYEsDZlxBpzx30lVyfh8842tE+Tk5KCpqYllBJiUlITq6mpeka1arWZVc4h4OTQ0lKUlIg7gppWExsZGXLp0CR999BFtDSmVSlRVVWHTpk2c9yssLERcXBwdJ8/OzsbkyZPN/jZKSkrw/PlzbN++HRUVFWYJDYFIJMKXX36J3/zmN/22j48dO4bt27cjIiIC/v7+eP/99+m/I60xhmFw//59bNu2jbaIy8vLERUVhW3btsHd3R1arRZisRgCgQABAQFQKBQcIfbTp0/R0dEBd3d33vNijKqqKnh5eeHBgwews7PjvW46nQ5eXl4cA8YbN25Ap9PhZz/7GYRCIQYOHPh/1hfop0qASFjxgAEDMGbMGAQEBEAikUAmk8HR0RFCoRAjR478RuvyT+9svMYPBqVSiaSkJIsj7EDfohcTE0OrKkCfDsPe3p7V5uGr/Bj/OxK46uvri6ysLPj7+/OOrZPdqE6nQ05ODgQCAV0I1Go1rK2tafI5eeh2d3dz/Gj4HFGJKJtUaaRSKYC+yoVCoWAJe8vLy8EwDK93j0ajQWJiIiZOnAi1Wo3Y2FgsXbrU4gOopqYGaWlpmDx5cr9mlQzD4OnTp1RfYwldXV3Iy8vD8uXLkZ+fD29vb7MVtdraWohEItrqrKyshEKh4PUcqqiogEwmY7WmysvLIZfLOf3558+fU0GsMcrKyuDo6MgiOTk5OVQ3Y3rfdXR0YP78+ZSAisVinDlzhjO2TuDv78/SGF27dg1eXl6cikNFRQVcXV1Z9xvR+xw4cIDVwqupqcGzZ884U2sJCQmorKzEp59+yhKfOzo68i7y9+/fh06noyGvt27dwsiRI83eI3fv3oVOp8P+/ftRWVlptt1KkJiYiIcPH+KPf/xjv0HCALBhwwacPn0aW7ZsMbvpeP78Od566y1KYO/cuQOdTocvvviCitHJb27BggWcSTWFQoHTp09j9uzZCAsLg06ng729PZ1sJASJXHepVAqhUIiSkhKsXbuWd2BAoVDgxo0b2L59O/1be3s7rly5gjfffBOjR49GT08PSktLsWrVqn7Pw7fBqyyF+KlqgCZMmIAvvvgCnZ2dKCgoQEFBAcrKypCQkIDRo0ejpqYGX3755Tf6bq8J0HeEV/nG/yZQKBQ4ceIEVq1a1S/5ef78OV3cSfaRaZmZEIs5c+bwLtgNDQ0ICQmBp6cnMjIyEBAQAD8/P/rgNI2MkEqliIqKwujRoxEaGkpFn+bS38vKyjBjxgwUFxcjJCSEN62YmCEaxzVoNBrY2trC19eXJVguKiqCg4OD2dR74lOkUCioFUB/IuaKigrMnj2736kwQq6GDh2K8ePHW/zhNzU1ob6+HuHh4bQaZS6ksqSkBABoqKtGo4GNjQ0v+cnJyYG7uzsmT56Mnp4e+veBAwdyPv+NGzcwfPhwGglhDFPvo6ioKGg0Gg5R6uzshJeXF6sdWVBQgOTkZNbYOsHz588xc+ZMerxOp8NXX32F5cuXc6pEmZmZqK2tZZGU9PR0FBQU8OplfHx8OOTn0qVLGDx4MPbt20fbQqmpqQDAGdnW6XQ4duwYFixYQM+tWCzGnDlzeAm/RqPBsWPHEBYWhuHDhyMxMZE3zZ2AYRicO3cO9fX1+Pzzz/slP+np6ZDJZPR4c/cpsUvw9PSkI/ErVqxgnU+SI/fGG29wxNgZGRlU0F9XVwc7OzteA0jgH1X2I0eOwNvbGx999BFsbGx4HfhJ2448gx89eoT29nZ8+umn9LtkZWVxTB6NER8fj4KCAkpG/xXxU9UALViwAE+fPsWCBQuwePFiqhGUy+UoLCxETU3NS2Uh8uGndzZeQfwUW2L9oba2Fh988IHFIFIS3Ll06VJoNBrKyE0JjjnyYzAYUFNTg6CgIAwdOhTOzs7UgdjDw4PjtWNjY0MFytXV1Vi0aFG/5oEkBmPSpEkoKCgwq9Mh+iVjM0QSNGra3srNzYWnpyfLIJF8n5SUFMycORN2dnbo7OxEYWGhxQpaT08PVCoVampqMGHChH7bfVKpFE+ePMHGjRv79cSorq6GVCqlrStLcSGZmZkYOHAghg8fzsqNMza1JN8xISEBY8aMweDBg6HX66HRaFBXV4dhw4ZhwIABVAPEMAy+/vprhIaGsqowUqkUlZWVnIDQs2fPYty4cZxrVFNTg+7ubhZpffLkCaRSKUcEyzAMrl69ihkzZtAqI3GYfu+993hbS35+fpT0AX3iYhcXF47eJzU1lSPoVigUOHbsGNauXYvg4GC6gNfV1aGtrY0zXFBbW4vbt2/j3Xffpb8FQsr5UFZWhidPnuDdd9+FQCCg5Mfc/dTa2op79+5hwYIFWLt2bb9C+4cPHyI+Ph7r1q2jfkZ8yMvLg5eXF4YOHYqUlBTk5eXhk08+4SyoT548oRsSAoZhEBERgYCAAHz88cdob2+n04KmIGJsqVSKX/7yl9i6dStmzJhBM7YAdqaalZUVtm/fDhsbG3R2diIiIgJLly5lkZ2Ojg5MmTLFrND/5MmTEAqF+OMf/2jxXP2UYG4K7KdIgJycnDgTmgaDAc7OzpgzZw58fHy+8Rr80zsbr/GN8c9UqfhiHoxByM+SJUtgY2MDjUaDxYsXm83XMiU/vb29yMzMxLRp06BUKqm2Y9iwYXB3dwfDMLC1tYWjoyOt7EilUpSWlsLR0REeHh5mgxQJSGQDcS023YkTkAkm4xaewWCAn58fhwCkp6cjICCAd6eem5uLqVOnws7ODq2traitraWtJD7U1NSgo6ODCln7G+tsaWnB9evXWS0IcygoKKDnrqamxmIeFEmJHzhwIBobGyEUCjm5T0DfA5RMepFrKRaLkZaWxhH3Erfmffv2sSaZGIZBcXExy8VXpVLhyJEj2LRpE69Oxd3dnXUdIiIiMHLkSM40FZnwI34wer0eaWlpKCoqwhdffMG5N0k4KyGdpEq0bNkyzv0fExMDhULBIj/FxcV48eIFPv74Y97oDlOC/Pz5c7S1tdHEegC4cOECbzQL0NciU6lU+NnPfga1Wo38/HyL/lLR0dEQCoUIDw/HlClT+l0UKisrkZaWht/+9rdmI1KAf0xwTpo0CadOncLw4cN5E9w7OjpYwbhAHwl/8OABtm/fTv9eXV1tNi3eysoKCQkJeP78OX7zm9+wNgSmk2oVFRXw8/ODvb09oqKiUFNTg4MHD8Le3p5mqrW1taG7u5tXv5aeno709HTs378fWq32OzPZe1U3xD9VAsQH43Ns+oz+p17ndRr8Pw+tVgudTscyTJPL5RYfIj82iBGaqWfHNwGJjpg8eTLq6uo4lvQExsnqjo6OdEKIpKCTsWAbGxskJydj/PjxGDJkCO8DRKvVIjc3F/b29i/lnFxfX4/s7GwMGjQIoaGhZh9KCoWCTjsJBAKUl5fD39+fVgqkUilsbGzg6OiIxMREjBkzhjOdQyaSCOrq6tDZ2cmpcJiCTGXNmTOn36mw+vp6NDQ0YN68eZBKpXB0dDQr5kxNTUVAQAACAgKomy8fiGXBggULqAanp6eH9x7p6elBZmYmKxCWvIZUKqXEQKvVory8HI8fP8ZHH30EKysrKJVKuLi48LYvGhoacP36dc5UmMFgQENDA4sQqdVqHDlyBG+//TbnoVdWVoa2tjZKODUaDW7evAkPDw9O64OEgM6ZM4dWIcjneP/993lbtKS1S/DgwQNoNBpOMOmdO3cQEhLCagGTse2JEyeyyI5QKISzszNnylCj0bBS4nt6epCWlsY7XWn8+iEhIaitrUVYWFi/lhERERFwdHR8qSnD0tJS2NnZ4d69e9i9ezdvVamyshK2traUkADAzZs3odfrWe9hKURao9Hg9OnT8PHxwZQpUyz+xiUSCS5fvozdu3fjzJkzmDVrFqZNm0YXeRJye//+faxduxbAP7RJDMPg7NmzGD16NGbOnElNTb8LfF+Oxf8s5HI5HBwcWL/VZcuW4fHjxxbduF8GP3Qa/PeJfw06+CPjpxKF8V2AkJ+wsDCUlZXxkh+DwQCtVkt1GFqtFmq1Go2NjTRzivw4BQIBkpKSMGrUKN5SpkQigZOTE+zs7GBrawt3d3fOztoUNTU16O3txYIFCyxWVXp6epCdnY0lS5bAysoKxcXF8PDwYJERcm2JW7UxySUj9ZMnT6YEqLKyEmq12iz5aWpqgkgkwvjx4xEbG8tquZnDzZs3MWrUKLNTWwREZO7v709f0xz56e3tRXp6OpYuXQqGYVBSUoLx48fzkp+mpibU1dVR0Thp9c2bN4+Vqm5lZYWUlBSUlZXhs88+A9BH8kjbzFR7lZ6ejuLiYk7+FwlxNXYbJ62jjz76iLO4CIVCFBUV0ak5vV6Pr7/+GgsWLMD06dM530cmk2Hjxo30miUkJEAoFHI+B9CnJ3nzzTfpAmkaaWGM+Ph4DBo0iNVqJO23PXv2sO5FknFmCkIe3333XTg5OUEulyMlJQVvvPEGL/mpqanBnTt3sHfvXjQ3N2PmzJkWyY9MJsN//Md/wNfX12wEBoFYLEZnZyfKysqg0WhYlSvTz9zc3EzJnVgsxsWLF6kAmSAiIgJr167lXYCzsrKQmpqKTZs2oba2tt8NTmVlJcaNG4cLFy7g/fffh52dHbRaLaysrOi9TwwfybQawzBITU1FVlYWdu7cCQcHBxw9ehQffvghnVTjiw/5V4Fer/+XqQB9V3hdAfoGMK0AEX+Zb8usv098FxUgvV6PK1eu4O2336aLh7HXjrHfTlxcHObPnw83Nzeq32lqauI8nBMSEjBhwgRYW1tzqhq5ubkwGAyYNm0areb0t7N98uQJXF1dWYsnH8RiMYqLixEWFgatVmtWKNrb20vHx01DWnt6euDm5kYfkoWFhXBwcDDrM6JSqVBXVwd/f3+kpaVx0tD5cOnSJUyYMIHVwurp6YGDgwNLn0XctwMCAqDT6czaFQB9i7JQKMT8+fMhl8uRmZmJBQsW8Iqpy8vLoVarWZNuZFLN0dERDMNAIpHA09MTt2/fhrW1NZYvX04ftHq9HuXl5RgxYgSrFXb37l3Y2NjwTuUQx3ByXhMTE1FdXc2bxK7RaKghIvAPn6G9e/fCxcWFRZbq6+vR3NzMaoWeP38eQ4YMYfkPAX339YkTJ7B06VJqL9DY2Ihr167h4MGDZqu9ZNLJxcUFsbGxqKmpwb59++h3MRgMOHr0KLZt28Z5Xty9excajYaKsaVSKSoqKjBt2jTehfjBgweQyWTYunUrqqqqMGLECFpt40NaWhqys7MxatQoXt8rY3R1deH69etQqVR44403OMJxgp6eHpSXl2PWrFlQqVSIiYlBW1sb9u7dy7q3U1NTYWVlxdF3MQyDM2fOIDAwEEuXLsWzZ88sCryBvqrtmTNnMHXqVNbvnDyXHR0dqdko+QykujRmzBg6MZqUlISgoCD4+PiwfI5Ii438jUyTmhIkvmvyKleAwsLCkJyc3G+cTn/4V6oAvSZA3wA6nQ5arfb/HAE6evQoFi5ciODgYJbBoLHXjrW1NeLi4mhbpbi4GEOHDuVt8RCvHQ8PD/T09HAIkF6vh7W1tUXdjTEePXoEZ2fnfu8Dos+ZNm0akpOTMXLkSF5ipdVqERUVhcWLF7M8XUpKSjiVhaysLAwcOJA3p0wkEsHDwwO2trYQiUQoKSnBwoUL+52uy8zMRGBgIOd79/b2wt7enhIgEpdB2niWUFVVxZvJxYfs7GxWVhlf+4JhGLpYzp49G5MmTaIEpqurC+7u7qxFmRCL6dOnc8TlpaWlGDFiBGvxuHLlCry9vTkLNsMwuHTpEpYvX05bSGlpaSguLsaBAwc4C1F9fT2io6Oxf/9+AH2VkGPHjmHDhg28GgLSQiHnmASHmpIwhmFw+vRpHDhwgPrkyGQyREZGIjg4mKMBy8nJQVBQEItAqVQqHD9+HOHh4ZS4dnd3o6CggPdeJseHhYVhypQpuH37NmbOnAk/Pz9eAkSmwgICAvolPuS7HzlyBHZ2djh06JDZe6q3txcSiQSBgYFUDD537lyzWjtTFBYW4sWLF9i1axe8vLzoAIGlqbU//elPUCgU+PWvf82pnBICVFFRAVtbW6rjSkxMREFBAfbt28fZxJhDWVkZTp8+jZ/97Ge8BAkADYw2rhiRoY1vSzK+LfgIUGhoKLKzs1/KEsES/pUI0Ot62P8h/DNtOmOvHfLPli1bAPxjPNrUa8dgMLDM/goLC+Hj48Pr+UPM7IxTxxmGoYTEx8cH1tbWSElJMevGTCCRSNDQ0IDRo0dbNAME/uHaPHfuXHR1dWHRokW8D3iFQoGkpCSWcaBGo0FOTg5HtJqcnIygoCDeXK+8vDxYWVlh4MCBaGhoQGtrq0WCRqbpJBIJwsPDeUNcjdHS0oKkpCSMHDmyX/KTm5sLV1dXjB07FtHR0Vi4cKHZuJD4+HiMHz8egwYNoi2vwMBADlGUyWQ4fPgw3n//ffj6+tIJsIyMDHh5ebEIt0KhwJEjR7Bz507ORFpRURE8PDwoYdHpdDhy5AhWrlzJmRbS6/W4c+cO1qxZQ4lEZGQkXF1dzSaADxgwgJKf4uJixMTE4Gc/+xmnJVBbW4vm5maEhoZS8nP27FmMGDGCtwJ17tw5bNq0iZ57kUiEM2fOYO/evaz7Qa1Wo7W1ldM2KywsRGxsLN577z363Ts7O6mztiny8vKQmJhIj8/NzcXkyZMREBDAif4g3+fOnTuYPXs2ampqeM+NMeRyOf73f/8X4eHhFluuvb29ePLkCTZt2oTk5GTk5ubi4MGDnMpHUVER3N3dWfcNwzC4cOECvLy8aKs0PT0dEyZMMLs4KxQK/OUvf4FAIMDvfvc7s59LqVSiq6uLWlCcOXMGU6ZMwUcffUSPEYvFqKys5CVqZGKtt7cXBw8eNJuPR44l/5hmqhnHhphWjX6Ittq/UhbY94nXFaBvANMKkF6vR09PT7+L1Y8JS0JtY7Jj3M4CQKs6NjY2LLJjCuKhs3DhQsjlcrPaE3NTYT09PWhtbWW5LCclJWHMmDFmdTzd3d3Izc0F0DcJ0J82SCgUQiQSwdra2qxzM9BHqHJycrB48WLI5XJoNBq4urpyHs7G2iBz1T9SxSJBpZZaU0AfQSspKcHixYvNltFJBaixsZGKnPsjfomJiQgODoafnx9KS0sxduxY3uuoVqsRHx/P8kJqbW2Fu7s7Z/dcVVWFu3fvYvfu3Rg4cCCsrKyo3otUG4kTdGtrKx4+fIiPPvqo3x0oaTV98MEHnDT71tZWDB48mH52c/4+pAL04MEDLFq0iN5DDx8+hEql4vUkEgqFiI+Pp+PgnZ2dOHv2LLZt29Zv9RHoO8elpaXYunUri9i3trbi/v37OHjwIIukRkZGwsbGhhWM2traCrFYzDu1dPXqVbi6utK2YWNjI3x9fVntRpVKRc/ZvXv3IJfLsXXrVly/fp1uYMwhLS0NX3/9NY4fP876/KbQ6/V48uQJli5dirNnz2LMmDFYvHgxzQcjpLqxsRFRUVEsz6SysjI8ffoUW7dupX5UOTk5GDRokFlzztjYWJSWlmLv3r0WKzhqtRolJSWYMmUKYmJiUFVVhf3797NIvsFgwF/+8hdev6OMjAykp6dj48aNqKqq6tdokg8qlQoGgwG2tra8bTUAvDqj75ocEZdkY8Iza9YslJaWfuvX/leqAL0mQN8AP2UCREbMTXU7xl47hPSYMxY0BRFGBwcHo7GxEbNnz+YtAZMKUWhoKH2QKZVKNDU1wcfHh9XWiYuLw+TJky22FTUaDfLy8uDv79+vfw4RcsrlcsyZM8fs92pvb0dFRQV9+GVnZ6O3t5eTek9sAIwnqAhyc3Ph4+NDF00ykm5OG6TX61FaWophw4YhNTUVS5YssbhT6+3tRUpKCoYMGcK7UBqDBJrOnj0bCoXCYvq8SCRCUVER/a4NDQ1mNVfx8fGoqanB7t27qQaooaEBjo6OcHFxYS3KT58+RVdXF3bs2MF6jdraWqhUKpaXU3JyMioqKng9aW7fvg1/f38qvK+rq8OtW7fw3nvvcYiSWq3GtWvXEB4ejoCAADAMg+PHj2PmzJlmyS+ZSgT6KhL5+fkc0gL0RXq0tLRQrYrBYMC5c+cwfPhwhIWFUQ0Q+XeJiYksWwFiIrhy5UrWd6+pqYFEIuG4gIvFYpw/fx5vv/02Jfl37tzBnDlzWNeTECCDwYDTp09jyZIl/d4f5HtHRESgsbERv/rVryyK8g0GA+rq6iASiZCWloa9e/fSCq8pAWpra6OVW4ZhcPHiRbi5ubG8kWpqaqDRaHg9gWQyGc6ePUv1ZsZeTXyIjY1FYGAgHj58iLlz53LCc4G+zY2VlRWrMqlSqXD27FmMGjUKS5cuRWFhIUJCQr6RuR5xw+bzTzPWFRm7YxuTI3NC7H+WHMlkMjg5ObG+w2sCxMVrAvQN8FMiQKSyo9FooNFoaKuKEBxjwvNNdh/ECZos2uYeGsYVIlLZEIlEqK6uxuzZsyGVSmFvbw87OzvExMRg1qxZvLvQhoYGtLe3Y8aMGS/VHgP6Kkne3t79miaSFpXxg7OjowOurq4sQqdSqRAXF8cbbVFXVwdXV1daAcvIyICvr69ZIqFSqZCWloZRo0ahqqqqX20QABw/fhxDhw7tVywqlUqRmpqKSZMmoaioCKGhoWa1CTU1NRCLxZg5cyad2ho+fDivL8/169fh7u6OFStWUBF0R0cHACAoKIhqgADQBG7TUXSZTIbW1lbWJFRkZCTc3d05pmdAn3eMtbU1JQCxsbGor6/nDdFUKpWwtram4mgSurl//37Ob9RgMCAiIgLvvPMOXcivXLmCAQMG8H6Ojo4OJCQk0ApSR0cHzp8/j+3bt8PPz48lgq6vr4e3tzeLnGVmZiIzMxPvvvsu694pLy+HTCbjaMtiY2NRXV2N/fv3099WcnIy/P39ORVPvV6P+Ph4lJeX49ChQygrK0NTU5PZ9Hmg77rfvn0b4eHhmDx5ssVFn2EY3L17FyKRCIGBgZz7jxAgg8GAzs5O2uasqKjA48ePsXHjRlYlrbW1Fb29vaxJMYLo6GhUV1dj3759+Prrr3HgwAGLVhHp6enIzMyEjY0NNY00RVdXF+f6P3/+HFVVVdi3bx9tKQ4dOtRsBbs/WCJAlmBKjowJkjE54iNIANd76DUBejm8JkDfAOYIkKen5486NslX2SG7WoFAQN19jSdsvg20Wi2OHTuGxYsXW9xpEpIUHh4OOzs7jqcK0FfVsLOzQ1JSEubNm8db6tZoNKivr8fIkSMRHx+PCRMm9PugunTpEry8vCza4AN9C6xMJsPkyZORn58PHx8f+Pr6QiaT0Qk1oG8HmZWVRUfnCYgTMoGpwaApGIahu7qamhp0dnZabMuR/+bFixcYNWoUBg8ebPEhazzpZWnKDeirUDk4OLAWItK6M33/r776CmFhYXQqzHgKjLTAiNfTV199hVWrVsHf359eb5VKBWtra9bn0el0+Prrr7Fs2TLOtJFIJIJcLmed2/PnzyMwMJBa4hvjyZMnsLe3R2hoKBiGQUZGBl1I+RAZGYnQ0FD4+/vTysyaNWt4W4rGFSKgr0opFApZE0+EAMXHx8PV1ZVV+Tl//jwGDRrEIQ61tbXQ6/Ws9yQOxRMnTqRaHIPBgNbWVnh6enKILPECCgwMxJtvvgmZTIZbt25h9+7dvN8b6KuoyeVyWFtbY9OmTRZHpA0GA77++muqjeG7p1UqFRiGwZdffonPPvsMDg4OuHjxIlxcXFhtPqCv0lpdXc3R00kkEurRNGvWLEgkEsjlcostyPz8fERGRmLTpk0YM2YMb+u4oqICRUVF1Lepvb0d165dw/z586kuq6mpCQ0NDRYNU//617/i3//9381+lm9KgCzBmAjxTaoB4FSM1Gr16xbYS+A1AfoGIPb/xg8940Xgh4DBYOCMnhsbCxpPZZHphO96Uq2kpAT+/v4WDSC1Wi0NSgWAlJQU+Pj4cEre3d3dSE5OxrJlyzgPj+LiYowbN47uLi1ViIxBUuz7a4+VlJRAIBBg7NixEAqF8PDwoMRKJpNBIBDAyckJbW1tnBBK4gVk7BFEwmHnzZvHO5JcX1+PmpoaLFiwAOXl5bCysjI7ZkyQmpqK6upqbNq0CWq1mtUuNEVlZSU6OjpgbW1tNvoD6LuHiIDbz88PmZmZGDlyJO890tvbi6+//hoHDx6kRniENJIkd2J0WVdXh3v37uH999+Ho6MjtFotnJyc6Bj6vHnz6O/EUkxFamoq6urqsHXrVgB9wtJjx47hnXfe4Z22MyaSGo0GFy5cQFBQEC9RMiV4OTk5SEtL41RmyLFHjhzBtm3bMGjQIGqkx/faDMNAKBTCzs6OVs/a29tx8eJFbNy4kVNRS0lJwdChQ1n3KIm/2L9/P73HVSoVbt26hQ0bNnAWeHL8jh074OTkxGkHmkIsFuPChQtYvnw5Kisr8dZbb1lse+n1ehw+fBi+vr4WdUQqlQpFRUUYPXo0Wlpa8PjxY2zatIlDXhQKBW31GuPRo0dobm6m1S6JRNKvueypU6cglUrx+eefmx1BNxgMiIyMpIaM165dg0ajwY4dO1hj8hkZGWaF39HR0Xjy5AkWLlyINWvWmP083wcBsgRzLTUixtbr9di0aROGDRuG6OhonDhxAiNHjkRwcPA3nlR7TYBeUfyrEiBCdoyrO6SCYNzCIiJlPvwYo/qmERM6nY6OzBtDq9XiwYMHWL58OYcwpKamUq8OojXi090Yv1ZKSgp6e3sxd+7cfrOQcnNz4e7uDmtra95FVS6Xw8rKCh0dHejo6ODoEExHw5VKJRISEmhECB+INiIjIwODBg3qV7xdWFgIoVCItWvXwsrKijMGb4ycnBy4urqiu7sbM2fONHs/arVaxMXF0ViL8vJyDB48mHfBIQvsp59+CqDvXurt7UVLSwtduMl9mJycjMrKSuzZs4dWJMnDuKurC97e3nSnmpGRgbKyMlZ7h0Cn06GlpYW2DktKSvD8+XMaimkMuVwOmUxGRbW9vb04evQoNmzYwGs2+OzZM+h0OloVvH79Opydnc0mhT979gxz5syBm5sbmpubcfXqVezatYvjCM4wDPLy8lh5eDExMXR83vg7kmreuHHjWAQhMjIS1tbWLIdphUKBFy9e8G4Orl69Cnt7e7z99tvQ6/WIiopCcHCw2SibJ0+eoLm5Gdu2bUNPTw8GDhxoUW9WUVGBL7/8Ep9//nm/QnupVApbW1tcv34drq6unKoP0HffZWVlsXR47e3tuHr1KhYvXkwrizExMbC1teWNZAH6NkWPHz+Gu7s7zWzrz4OHRJesWbOGU63NysrCjBkzOL+X5uZm3Lx5E/PmzYOjo6PZzDYClUoFKyurH4wA8YFEwjg6OkKj0eD27duorq7G6dOnERwcTK0wAgICUF5e/tLWAASvCdArin8FAmRsLGjqtcM3kfWy+KEJkEqlQmJiIsaPH29R26JWqxEbG4vZs2fDyckJ9vb20Ov1UKvVrB+mTqdDdHQ0baOZQ3V1NYRCIV2wLCEtLQ0uLi4QiUSYM2cO745ILpejsrISNjY2tM3X0NCA2tpaLFiwgPWdurq6kJubi/DwcM53FQqFcHFxoZ4ixmPm5lBbWwuBQICWlhZWJYePABkMBjx//hyjRo3ql1CRz7l48WJIJBKz2jXymk1NTdi0aRN0Oh1aW1sxaNAg2Nvb03tQJpPB09MTV69ehZubG8LDwylJ6erqQmtrK8aNG8faqd64cQMuLi60CkB0Dc3NzSgrK8PKlStpOf/BgwdQKpWstHaCjIwMFBUVUbPB3NxcpKSkYN++fRAIBJzFsKOjA5WVlQgNDYVCocCJEyc4jsXG58n43ERHR6OxsZF3HF4ul+P48eP44IMPoNfr4eTkhOPHj7NaWARKpRKFhYWYMmUKvZe7urpw7tw5rFq1ivVZOjs7AQBeXl6se6q9vR2XLl3CunXrqE9TTk4OmpubOblsQF8l88yZM5g/fz6GDh2KpKQkSqjN4dKlS8jPz8cvfvELSi7N4fDhw5gwYQJyc3OxdetW3uBdogNcunQpfXbdvHkTMpkMu3bton+Ty+WIj4/nbVvrdDqcO3cOgwcPhoODA8LDwymB4yNAZGNFfJDeeustzmuSAFfjCiTxmRIIBNi2bdtLi5BfJQJkTgNkMBjQ1tYGoVDYr2EsHwgBOnXqFNLT09He3g4HBwdMnjwZhw4dsvhMe9XwmgB9A3xXBIiQHVPdjrGxoHEb69uQqx+SABH7/qVLl9K0dz4oFAokJydj6dKlkMlksLW1RV1dHdrb2zF37lyqE1GpVIiPj2eFlRpDLBajt7cXQ4cORUxMDEtozQfjaIb+KkSEJBlrnGprazkkw5J+QCgUQiAQYPjw4XQqKzQ01GyrQqlUIjU1FY6OjnBzc+PsOk0JkEajwfnz5zFixAhe8mWM2tpatLe3Y+LEiUhNTUVISAhrUsfY9+ny5cvw9fWlhKawsBBOTk6sUX6GYdDZ2YkLFy7gjTfewOjRo6kIuqOjA0KhEBMmTKAVEa1Wi6NHj2L58uUYO3YsS/xZXl6O/Px8rF+/nv42zpw5g+nTp2PmzJkcnYPBYEBlZSVtp0ZGRsLBwQFr1qzhLIbd3d0AQO///Px8JCYm4v333+et1N2+fRv29vZ46623zGZ5GaOkpATjxo2DwWBAYWEhYmJisH//fk5Frb6+HrW1tawNQWxsLKqqqqiZIkFmZiYUCgXnufb48WO0trZiz549rONNx+AJ4uLiUFZWhoMHD0ImkyE2NhZr1641u4Gqrq7G/fv3MWvWLEydOrXfCkFCQgI17Vy3bh3vBoVhGDx+/BjLly+Hra0tampqcP/+fbz11lv9hhoTJCUlIS8vD7t370Z7ezuGDBnC2rSYXvNHjx6hvr4eDMOYHaEvKyuDk5MTqzVJ4jI2b94MHx8fnDt3Dm+//fZLmci+SgTI2dmZ9SyYOXMmysrKvvXrEwJ0+vRpLFiwACNGjIBarcbf//531NfX48yZM9/6PX4ovCZA3wCmBMhgMKC7uxseHh5mHyqmxoKE9AAv77XzbUDaFt/3pFpPTw+uXr2KHTt2WAwYJDlcJEGelM9NBbIymYzGRvCdk+bmZnR1dWHUqFGIj49nVR/4QBazMWPGWExqB/omS7y8vDBkyBDU19fD39+ft6pkLKA2hqmGQSaTISUlpd8xd/LePj4+vNUcYwJEqjmhoaH92u8XFBTAzs4OY8eOhVKphI2NDaetSqanTpw4gXXr1mHMmDH0vPMJo5ubm3H8+HF88cUXcHd3h1arhUajodfQeCqKmPK9++67rEVap9Ohp6cHHh4e9PVJpMWePXvg4eHB0jZ0dXWhqKgIYWFhEAgE0Gg0dKx83LhxsLKyYi2GaWlpyM/Pp67GN27cgL29vVkth0KhQH19PcaOHYvq6mrcu3ePl8wAfTYJQ4YMoSTyxo0bUCqV2LVrF+dYQj7JGL9Op8OJEycwadIkTpWosrISEomE1XJVKBQ4deoUQkNDWdNiJ0+exO7du2FjY8MiQGq1GidPnqSREV1dXQBg8Rlw5coVCAQCDBgwAGFhYf3m1OXn5yMuLg7bt2+Hi4sLrK2tOf8NMdKcMWMGbG1tcfHiRTg4OHCCWOvr61FYWMhpRUokEly4cAFTp07F/PnzaWXZdADC+Jq3trbi7NmzWL58udnhApFIBJlMRn9jXV1duHz5MiZOnEjXktzcXEilUrOtOIZhEBcXR+M1TK0Afgz8UATIFNXV1Thw4AAePHjQb7jzq4LXTtDfAwjZseS1Y29vDycnp288fv7P4ocSZ0dFRWHbtm0WyU9nZyeKiooQHh4OrVaL1NRUOipuTH66urpQUFDAS346OjowaNAgSkoSExOxbNkyi99Tq9Xi2bNnWLt2rUU/HIPBgLi4OEycOBGOjo4oLi7GkCFDeMkPyf8yzerKycnB2LFj6aLZ3t6O8vJys5+xtbUVpaWlCAsLQ3x8PCZNmtRvder58+eQy+VYt26dxeOIF42vry8aGhrg7+9P9ViEdNvb28Pa2hpNTU24evUqPv30Uzg5OaGgoADe3t7w9/fnkJ+0tDTk5OTgs88+o+eGpNabltZjY2PR2NiIzz//nPX3/Px8FBYWYuvWrfT1k5KSUF5ejp///OecDUVNTQ2ePXtGHZ+Li4sRHR2NAwcOwMbGhmq2CLRaLQYOHIhDhw5BqVRSosTnO1NXVwcrKysMHToUY8eOpVlbfCGgBoMBd+7cwbBhwzB48GA6QbZs2TJe0pqfnw9vb29KfoqKimiVyHSxqKqqQnBwMOu7JycnIz8/nwZ/Ety4cQNvvvkm7O3t6YYK+MdY+IEDB+Do6Ijc3FwwDMMbDkvO6/3797Fq1SokJSWZdQkn0Ov12LFjB9555x3q5qxUKjn3NgnonTdvHsrLyxEbG4vNmzdzfn8KhQKPHz9mmSYCfWaO7e3t+OCDD2BjY4O8vDy4ubnxTn+S5+5XX30FJycn/OpXvzK7IZXJZCgrK6MDDdeuXYNSqcSHH37I+m9MPZmMERMTgxcvXlCR/quO73sNyMrK4nX+f5XxugL0DWBaASJj8Pb29rTKY0x2jP/vjzUm/6p4FbW1taG6upoukA0NDTTDyNbWllYx2tvbUVVVxVlIe3t7KbkYPHgwDTW15J+j1Wrx4sULMAxjNlWbwHiCS61Ww8HBAVZWVrzl87S0NAwZMoTjYGs6di4UCtHd3W128QH6qgN+fn6Ii4ujUSLmQIwQnZyceHemxhOCCoUCcXFxmDVrFiorKzFz5kzY2dnxVhqTkpJoqwToIzOOjo68Pf0bN27Azs4Oq1evpu1foK9yERAQQKtwJCtr1KhRnIqbRCJBbW0tK5fs4sWL8PX1pVODpt9Jr9fTc3P//n1oNBrqyWPcThOLxdSugGEY5ObmIiMjAwcPHoSdnR2nnZaUlAShUIg9e/ZAo9Hg2LFjWLBgAe8CyDAMtW1wcnJCSkoK8vLyqP+MsREiwzB49uwZpk+fTkfHL1++DFdXV04FihgSrl69mh6r0+lw6tQpjB07tt+KpU6ng1wux5UrVzBq1Ciqr6qqqkJjYyPvNBzQJ6S2srLC5s2b6cSlpQplRkYGTp8+jc8//5zlrUWqiuTeNxgMePr0KebOnYtr164hICDArB2FXq9n3Y/V1dV49OgRli1bRt+jp6cHYrHYbEs9NTUVz58/h62tLX7961+b/fwMw+DevXtYt24dsrOzkZaWhrVr17K8upRKJcrKynivf01NDaKiojBx4kT4+PiwzsGrXAH6Psfgc3Jy8Jvf/Aa/+93v+jWsfJXwmgB9A+j1ekilUrrIEC8GW1tb2Nra/uhkhw+vAgFqampCc3MzBg8eDI1Gw+r9kxaYg4MDGhsb0drayvohkWkr46mrlpYW1NfXWxz1Bvp2alZWVrTdZg5kgmvkyJFoaGjA7Nmz6bSdMQEiu9opU6bQnWh9fT3a2to47rNFRUWwtbXlrThUV1fDy8sLXl5e6OzsRH5+fr+fsaamBtXV1RgxYgSCg4N5M9uIjqynpwd5eXmYN28ejaowBzK58+abb6KlpYVXxAqA+rwsWrQIU6ZMAcMwqKyspBNkxAfIxsaGBo6uWrWKtUg0NTVBJBKxiI9MJsPx48fx9ttvc8JJSUTFli1b4OTkBJ1Oh2PHjmH+/Pm8oa51dXV4+PAhDb+8evUqnJ2dqZ7HdGwYAG0dlZSUID4+Hu+99x6cnJw45ywzMxMqlQoLFiygSebDhg2juV0k+sPFxYWG1JJqSktLC65evYoNGzZwJg7JPTV37lx6r+Xl5SEhIQF79+5lVR8rKyuRm5vLaSGlp6cjISEB7733Hj2+s7MT1tbWvO276upqPHjwAOvXr4eXlxfy8vLMtnqAvhbTqVOnMHr0aA5BBdgEyGAwICkpCRqNBqWlpdizZw9vZaC3t5e2woG+++v8+fNwdXVlxZVUV1dDp9Px/o56e3tx4cIFjBw5EtbW1v2GAmdkZGDEiBG4du0axo0bxxnHB4A///nP+PTTT1lERqPR4Ny5cxgwYABWr16NtLQ0zprzKhAg0nY2JkAMw2Du3LkoKSn51q9vSoDS0tLwhz/8Ab/85S8t5se9inhNgL4B9Ho9ent7WS2E7u5uOk79KuLHJkC1tbXo7u6Gn58f5HI5ZxdHCFBzczOkUimrpZSXlweVSsUiOrW1tejq6uKESxI0NzfDxcUFUqnUorkZgfEEl8FgYE2kAKC6ClJNWrhwIRVgarVa1NfXc8aE09LS4O/vz+sCbSy+rKur4x2xNwYRjMtkMsyYMYMuaKbVRvJPbW0tcnJyEBAQYDH6gxCaJUuWYOTIkUhJScGECRN4p35aW1tx7tw5fPDBB/T9i4uL0dPTg7lz57KMEMvLy/HixQu899570Gg0tCKSlZWF8vJyViyGJUGyVCpFeno6XXCrqqrw4MEDHDp0iNNmNQ6A1Gq1kEgkuHjxItasWcMrtG1paUFycjI2bNgAhmFw7do1lvAZYOc2FRYWorOzE8uWLUNdXR3u3LmDnTt3sipkhAB1dnZCKpVSAfujR48gEomwa9cu3lFrKysrSjpJWOigQYM4FROtVovr16+zzh+psg0ZMgRhYWGsLLDp06fz+mBdunQJdnZ22LRpE0QiEaKjoy22chISEpCTkwM7Ozt8+OGHvMcQAmRtbY2HDx+ipqYG06dPN7soqtVqfPnll/j5z38Oa2trJCcnIycnB9u2bWO1f+vq6lBVVcVLum7fvo3Ozk7sMvtWhgABAABJREFU3r0barUadnZ2FgXIaWlpqKqqglarxa5du3j1gt3d3XRMnODBgwdobGzE7t274ezsjKioKDqpaHoO+HRQPyT4CJBWq0VYWBgKCwu/9esbE6Do6GgcPnwY//Ef//GTqvwQvCZA3wCmLTCgbwH9KRCgH8Otury8HOXl5Vi7dq3ZY2QyGaqrq2Fra8vyMOGbXquoqIBWqzXryUF0OdbW1ujt7eWtEhijqakJjx8/xoIFCzg7TGMC1Nvbi/T0dDp6m5eXh4kTJ/I6JsfGxmLq1Kkcwmk6Wl1cXAyBQMBrhGg8JdjV1YWMjAzMnTuXLjKklWXq7E28gEx1JKbo6OjA2bNn8d5771GhsblxX6L3ef/996khpZWVFa8T9N27d6HRaLBx40b6MCa7YoVCwapm3L59G1ZWVqx8KKCv3dHW1sYaCX/48CGkUinvQl1XV4eoqCja4kpNTUVGRgavbxDQ134jQa7d3d04d+4ciygZJ36rVCo65EDG8knIqHErTSAQUFHskCFDMHbsWMjlcpw6dQoLFy7kbafExcVBIBDQyktVVRWioqKwZcsWTsQLnwg9Ly8PcXFx2L17N9zc3Kh9RExMDIKDgzl6JBJLsWHDBgQEBMBgMCA/P9/sb4TkcU2dOhUlJSXYs2ePWYKhVCohEAjwP//zPxg4cCAOHjxocSChp6cHrq6u6O3txcWLFzFp0iROBUoqlUIoFHIGDIinz8qVKxEUFITjx49j586dFgnQ8ePH0dnZiR07dvBGvAB9zxvjz5yfn4/4+HiWS3laWhpCQkJ4K1pKpZLGwph7j+8bxoMHBCqVCsuXL6fh0d8GhADdvXsX586dwx/+8Id+Q55fVbwmQN8ADMNArVb/pAjQj+FWDfSV6zMzM7Fp0yaLcQzp6elwdnbGhAkTIJFIkJ+fjwULFnAW8IKCAjg5OXF29AaDAb29vXRUtbi4GNbW1v3mf1VXV1sMcFUoFPS1jROi09LSMGbMGI6tABnZX7RoEetB3NrairKyMkybNo1+RlMNkalwvrKyEq2trRg+fDja29sRGhpKhb7GeimClwn8JMjKykJGRgY2bdrECkDlw/Xr1+Hk5ITVq1fDYDAgLS0NPj4+CAoKYt1XBoMBX331FSZPnkyrdURv4eDggBUrVrB2pEePHsWiRYuo+R1BTk4OsrKyaBApaXnNnTuXV0dlMBjw6NEj6vFy6dIleHh4YOnSpZxzRDYv5FonJSWhuLiYToiZIjc3F5WVldi4cSOdwgoPD0dISAjHfZeE844YMQKDBg1Ceno6CgsLcejQIdjb23POb0NDA6ytrakR4rVr12BtbY2NGzeyjmMYBocPH2aNjBM3al9fX/q9dToduru7YTAY4O7uzrr/SFXJzc2NGhSWlZVBIBDweiABfVWrxsZG7N+/3yKRISgpKcGRI0fw/vvvc66pMaRSKWpqajBp0iTcvn0bXV1d2LNnD+c9WlpaIJPJWCHCKpUK586dQ2BgIP3e9+7dw5w5c2hV0pQAicVifPnllxgzZgy2b99u9nMlJSVBJpNhxYoVkEgkuHTpEoKDg1lZaqWlpfDz8+NtKep0Opw+fRq5ubk4duyYxefd9wk+AiSTybBmzRpkZmZ+69cnBGjRokWcqV0A+NOf/vSTIUSvCdA3AB8B6u7uhqur60s9KH4M/FgE6GWQnZ0NJycnDB8+nE5d8VV3MjMzMXjwYE5LSSgUorGxETNmzICzszOys7Ph5eXF0ZIYo7OzE9HR0Zg8eTKvroBAoVBAKBRCo9Fg3Lhx0Gq1Zg0WxWIx8vPzeb14jHfvpEI0efJkuLi4UN0OEYKSqo5YLIZEIgEA1vkw1ksRyOVy3Lt3D8uXL+93euzevXswGAxYt24dysvLzX5/rVaLw4cPY/ny5dQHqb29HS4uLrTNQu4rtVqN8+fPY9euXfDw8KC/g8rKSigUCtYOnrSxiM6GgFSVRCIRFQETT5oDBw5wzntPTw+amppoxVAsFiMiIgIbN26Er68vxxSvrKwMjx8/xgcffAA7OzucOXMGwcHBZsXBnZ2daGxsxOTJk+kUFl9UBtC3WFdUVGDu3LlQqVR08VywYAEVZ5PqmlwuR0FBAR3jb2pqwq1bt7B27VreezY5ORkhISF00S0oKMCLFy+wc+dO1rXOy8tDXV0dx+CQTMoZV5WSkpIgEAh4fY2IM3NYWBhsbGzQ3NzMGwxLQLRQdXV1+M///E+L7R+xWIyzZ89i5cqVePHiBd58803e9mRDQwPKysqwfPly+reHDx+iqakJe/bs4R0SMI2hYBgGly9fRnt7O7Zt22ZW1wb0kZebN29i06ZNuHz5MnQ6HXbu3Mm61qWlpWAYhvfZFBUVhbq6Onh5eWHq1KkWnynfN/gIkEQiwaZNm5CamvqtX/+1E/QritcEyDxeVQKUmpqKYcOGobq6mtfbgyApKQmjRo1iaVOM2zDGSdlBQUEWx9wVCgXu3LlDXXEtISsri+5yZDIZZs+ezXv+6urq0NbWRsecgb7qga2tLSZMmECFyj09PUhOTqZGj8a6HWtrazrh5urqitTUVPj7+3M+ozEB0mq1SEpKgrW1NceZ2hQMw+DYsWMYNmwY5s2bZ9EUs66uDtevX8dHH30EBwcHFBUVcdoQ5DWfPn2Kuro6vPvuu7QSkpOTg6FDh2LQoEGsh/GTJ0/Q1dWFbdu2sV4nKSkJEomE5QHz6NEjdHd38+7aibcPGX9PSEhARUUFjdXgcwXOycnBtGnTUFNTg7t372Lnzp28oZ4ymQzl5eWYPn06GIbBqVOnEBwczCuWBfoIiUqlwqxZs5CXl4enT5/StiIBqRQ1NDQgPj4emzZtgsFgwL1796BQKLBt2zZO2ndLSwtLh0KqPoMGDeJMkAmFQrS3t2Py5MmUVPIdbzAY0NzcDAcHB16iHBkZCaVSiZ07d6KzsxPPnz/nXCtjZGVlISYmBiNGjKCZYpYqH7W1tXjy5An8/f3N+jB1dHSgoaGBVvvKy8vx9OlTLF26lNUej4yMxJo1a+g1NiZAiYmJtLXn4uLSbxsc6LNqKCoqwqZNmzjtR4lEgtLSUo6WMCsrC2lpaVi6dCnGjh0LkUgEDw+PH636A7CF+ASk9ZeUlPStX/81AXpF8ZoAmcerRoCIG/OECRNQV1dHy8qmbSgyHTNjxgzaOlIqlUhPT0dgYCAVU5PjjENJTVFUVISQkBCaJN9fpSQ9PR2enp4YMmQI70QQAZmsIA9ng8GArq4uaLVaWuFhGAYikQh1dXVYsGABNX00fs2CggIEBQXBwcEBcXFxLLGzMQgB0mq1uHfvHsaPH2/RrwToq5YcO3YMoaGh8PHxYbUVTBEbG4uamhrs378fWq0WycnJmDdvHu/OPiIiAs7OznjnnXdgZWUFiUSCO3fuYOLEiZg4cSLdjZJoiOnTp3Mm5aqrq9HW1kYtD3Q6HY4ePYo5c+aYFVaSQFhSfTCt5BACJJVKWX4v9+/fh0wmM7uoV1ZWIi4uDgcPHkRVVRUePnyIXbt28d4rWq0WhYWFGDJkCHx8fOj0El+mHdBXpWtra0NQUBA6Ojpw+fJlrFixAqNHj2ZNpzEMg1u3bsHOzg6rVq2CQCBASUkJ4uLiWKJrcu+Q+5q095ycnJCTk4PExETs3LmTbip6enro5JJpBaWyshKPHz/GqlWrzI6ZG0OhUODcuXPw9fXF4MGDMW/ePCgUCjoJa4ra2lpkZ2ejvb0du3fvNusT1tjYCCsrKwwZMgQqlQoRERHw9fXl6Adv3ryJkJAQVotbrVajubkZUVFRmD59OoKCglBTU2NxSlQqleLy5cvQaDSYPXs2594E+u6loqIi1sBFS0sLbt++jbFjx2LJkiVobGyEQCCAl5cXywrgxwAfAero6MD+/fsRFxf3rV//NQF6RfGaAJnHy7hV/1BgGAaRkZEIDQ2lO1yZTAZra2sWAdLpdIiJieE8sDs7O1nZSFqtFrGxsWYjMIyjL3JzczFv3jyLidlkZy4QCOhElLnjSaCpv78/enp6aMaTaZxJTU0NlEolZycql8vR09NDy/MSiQRZWVlYtGiR2XupqakJ3t7eyM3N5a0QmaKoqAhPnz7F559/3u+1J/qK+fPn06oUH2QyGY4ePYp169bB29sbnp6eaG9vp8JQYyfoyspKPHjwAPv372cJwEtKSjBkyBBWxABpj/G1vNLS0tDS0kI1LA0NDbh+/Tr27NnDqeSQRSs/Px979uyBSqXCyZMnWYGbxiD6K5FIBD8/P0RGRsJgMHBGzQnKy8vR1taG+fPno7GxEbdv38bGjRupp5Vp+yEmJgbh4eHw9PTEw4cP0dHRwYmyIDAYDNQMkWRfeXt7480336S6I6Bvobt06RK2bNkCd3d3SjavXbuG4cOHs9pW7e3tiI+Px4YNG1jXlHgPeXh40PN67tw5LF++nJPiTvD48WPU19cjPDwcGo2GtoTMEaDo6GicP38eP/vZz8xObQJ9FTq9Xo+ZM2ciKioKDQ0N2L17N68HFyHABMQvydXVFTt27IBYLKYO8eYglUqxa9cubNq0iTdnDui7FtHR0ViyZAkEAgFUKhUuXrwIFxcXbN68mabWX7hwAZ988gnHCwn4R+XV3PTcdw2+SJSWlhZ8+OGHiI6O/tav/69EgF7N1fonCOJR8xr94+rVq5gyZQqrvG96/ognD8n/KiwshI2NDcaNG8dqk8lkMqSmpvLGS4hEInh6esLGxgYzZsxASkoKFi9ebJGkajQaahzo5+dHRdAEZDKLjMOPGzcO7u7ukEqlKC0txbx582Bra8sydcvKyoKnpyeH/AiFQojFYlrlqK+vR3NzM++4L3lvot0oKChAaGhov/lEkZGRKCws5DjcmkKhUODw4cPYuHEj5HI5srKyzFoHkMkjQqjy8/Nx5coVbN26Ffb29tBoNPTYFy9eQCgU4he/+AXrHF+7dg0jRoxgtTSI87KpWzTQt4OVy+V0kX78+DE6OjpYr0ug1+sB9FXkpk2bhoyMDGRmZlLtjylKSkpQWVmJlStXws7ODn/961/x1ltv8YqDDQYDMjMz4e7ujrCwMNy+fRtKpZJ+ZvLeBPX19SgqKsK6devQ29uLv/3tb1i8eDFv8nxZWRmsrKwwZswYjBo1Cnl5eYiPj8f27dtZBI/cg8nJydi3bx89p8nJySgoKMCuXbvg6upKN2ldXV1Qq9WcRT4jIwNpaWnYvn07rXDFxMRg8eLFvOSnvr4e9+7dw8KFC+Hj48MiP3wgnj69vb24cuWK2eOAviqgg4MDBAIBDh8+jCVLlvAGlz58+BBvvfUWi/w8fvwYtbW1eOedd+Du7g6xWIyKigqzuW1An+C8t7cXly9ftph1FhUVRclPZGQkurq6sGvXLtZ/09jYiI8++ggAOGtAdHQ0MjIy+q02f98wnW57jT68rgB9A/BVgCQSCZydnX/U0qclvEoVID6QCAMnJyd0d3cjJyeHionFYjEtLxtDJBKhpKSE1wU6PT0dLi4uCAkJgUgkQnFxMcLCwsy2sUj8RXNzM9VjGAwGKBQKKmAmYmW1Wo20tDQsXrwYjY2NZp1zyWuGhISwvGJUKhWnUlVUVASBQMAiBHxob29HZmYmFi9ebLGKxTAMTpw4gdGjR9OcInMoKSnBkydP8PHHH9NRdXOLwo0bNyAQCLBhwwYAfQ/WlJQUqj/S6XTUIuLMmTMYM2YMpk6dSisiarUaOp0Ojo6O9D7UaDQ4fvw45s+fz2nlZWZmYuLEifR8kWPNtSuio6PR3NyMLVu2QK/X4/r16/D392eJaY1RXV2N5uZmLFy4ENHR0aitraU6IlN0d3ejrKwMkydPhlwux8WLF7Fy5UpWG4bsvp2cnFBSUoIxY8bAxsYGT58+RUNDg9nXTkhIQGtrKzZv3kzbev7+/rzOyWVlZfDw8KA6N4VCgTNnziAkJASzZs2irUGGYfDo0SOMHj0aw4YNo9oilUqFCxcuYOzYsVi6dCmsrKyg1+vNLpBkgsze3h5bt25Fbm4uBg0axPEXUigU1JohKSkJ9+/fxy9/+UtenZUxiouL4ePjgxs3bmDIkCFmtUEREREIDQ2lounS0lLExMRg0aJFmDBhArUryM/PZ01umZ7n/Px8GtxqCYWFhQgMDERubi6Ki4uxZs0aTrXVWLBPzoGtrS0KCgqQlpaG0NBQeHt7c9ziv0/wVYBqamrw61//GlFRUd/69V9XgF7jNb4ntLa2QigUYvz48SgoKMDkyZN5d08NDQ1obW1lkV4iNLazs6NiZGIy2F+MQFZWFnQ6HTZv3kwXaWIySNpZDg4OdBFct24dUlJSEBQUxEt+yDi8cftOLBajsLAQI0eOpA9EUtUZMWIEr2Fda2srysvLMXfuXDQ2NqK7uxthYWEW7RaysrJw5coV/Nu//RtHzGmKqKgoSCQSzJo1CzKZDF5eXrzkh0yELV26FJMmTUJiYiJ0Oh3CwsLohBhBW1sbrl27RrUzCoUCra2tuHXrFtavX8+qLpDJLNOJMCLgHTNmDD1/xcXFeP78Od59913ez6hQKDBgwAAsXboUQqEQN27cwO7du3kF8WKxGL29vQgODkZgYCCOHDmCGTNm0BgQU5SUlEAsFmPhwoV48uQJmpub8dlnn5klSqQiplAocPbsWSxYsMDiJBUhkES7s2vXLg7hNxgMuH37NkaOHEm/0/PnzyEUCmkMh0ajgY2NDTQaDRITEzFnzhz4+vrSSbQnT56gpqaGjp0rFApkZmZCKBRix44dnIiQjIwMZGRkYOvWrfDy8kJMTAxmzpxpdhJSJBIhMjISYrEY69ev75f8PH78GE1NTdDr9di3b5/ZCBiGYbB+/Xq4u7tT36Dhw4fj448/psf09PSgtbWVl/xUV1fjyZMnVNhuGrFjiqysLDrNN3PmTNb7EJw7d46jTaqtrUV0dDRCQkLwwQcfoLy8/AclP+ZgieD+X8brCtA3wOsK0HcPuVyOhoYGyOVyjBo1Cq2trWb9SSoqKqBWq1leE4WFheju7sbs2bNpebysrAx6vZ63TE+mYTo7O6locOzYsSx3bxsbG2i1WjAMAxcXF9TU1NBxe0tl846ODhQXF3O8dTQaDcdaPz4+HnPnzjUrCm1oaEBgYCAyMzPh5eWF4OBg3jF4goSEBCQmJuLXv/61xetMKkQkdHX48OFmx5erqqpw584dfPTRR3ByckJmZiYUCgXCwsI44vro6GiUl5fjwIED1BhQLpcjNzcX8+fPZ32m27dvQ6/X8/rekJYoOf769euwtbWlLTBjPH36FDNnzqSE4cGDB+js7MSWLVt4z1F0dDSkUinWr1+PrKwspKSk4ODBg7zXVKVSoaSkBH5+fnB1dcXp06exYMECs1oW4+/6/PlzKibnW3wKCgpQUlKCrVu3Ug+ZYcOG8S7garUara2t8PX1hb29PTo7O3Hx4kWEhoZSzydSfZNIJDAYDPD19aXnr7W1FdevX0dYWBirFavT6fDixQssXryY5WkkkUhw5coVjB8/HosWLYJCoUBqaiqWLl3K62nEMAzOnTsHgUCAHTt2oLu7mzdDzhgXL15EY2MjNmzYYPa3rtfrERsbi6VLl4JhGFy/fh1yuZzjG0QyAefOncu6j2UyGS5duoTBgwdj3bp1UKvV6OrqsjglGhUVhdzcXEybNs1sdllBQQEYhqHnkpBeLy8vbNy4ETY2Nvj73/+O9957z2Ku3/cBnU4HtVrNqgCVl5fjT3/6E27duvWtX/9fqQL0mgB9A/ARoJ6eHjg6Ov6oFuj94VU2a0xLS0N1dTXL4p8P+fn5cHFxobETpEJj2uM29QIyDgjV6XRob29HZ2cnlEolvL29MXLkSN6AUKVSCb1ej5qaGlRVVSEgIAAzZsww20qrrq6GRCLB9OnTYTAYkJ2dDQcHB06VRCQSobCwEIsWLWLdR0RjMmrUKHh6etIFYMqUKbQSZkqAdDod8vPz0dDQAAAcV2VTdHZ24u9//zvWrFnTr2Hio0ePIBaLsXPnTqSkpNAwVQKyWLq7u+PMmTMYMWIE5s2bBxsbG+Tn50OlUiEkJIRF8JRKJU6cOIElS5awzktbWxuuX7+OdevW0VZDT08Pzpw5Y1aTExkZiZEjR2Lq1KlQKBQ4efIkFi1ahHHjxnHG4DUaDZRKJRiGgbu7OyIiIuDn52e2XVJQUAC5XI45c+YgLi4OFRUVdOzeFCSyY/r06VTjNGfOHN42HdBHlGJiYrBmzRqkp6cjIyMDe/bs4a2sxMfHw83NjbYH7969S80Dje8dnU6HBw8eYMSIESzLgmvXrkGtVmPnzp30eJ1Oh+bmZl4B/d27d1kibZFIhIqKCnqvGHsaCQQCZGZmIjs7G0uWLEF3d7fFPDGgb7P4hz/8AWFhYWYJBtBXdfz73/+Od999F3l5eSgoKMDbb7/N0Se1traiqKiIGqfa2dmBYRhcuXIFKpUKu3btgp2dHaqrqzlxNcbQaDT44x//CFdXV7PVPePvT/6bCxcuwMbGBjt27KCbnKqqKnh6evJWYBmGwaVLl6BSqXDo0CGL5+qbgI8AFRcX4/Dhw7h+/fq3fv3XBOgVxQ9FgAwGAw29I3hNgL45WlpaEB8fjzVr1ljUtaSmpiIwMBBDhgxBfX096urqMGHCBFarwGAwIDExESNHjsSAAQNYAaE6nQ41NTWYPHkyBAIBUlNTMWbMGIttIiLGDgkJgb+/v0ULgdzcXLi6ulKNgkQigbW1Nccyv7q6Gt3d3bzko6SkBEOHDoWLiwu6u7vpRJhxZdHUByglJQW5ublYuHChxSkboE8b9fz5c6xZs8aiWy+ZXJk8eTICAwPx6NEjrFmzhmMmR6a8SKzEwIEDodFokJGRAalUimXLlrF8gPLy8pCUlIR3332X81tJS0vDrFmz6O8qKSmJOimbkg6JRMKyCEhLS0N2djYOHToEOzs7jg/QtWvXMGbMGEyZMgWVlZV4+PChWR8gjUaDlJQUDBs2DL6+vjh16hSmTJliNtOquroa2dnZ2LBhA168eIGysjJ8+OGHvERJJBLB2toaXl5e/YaL6vV6JCQkUAF9XV0d7t+/j+XLl/Ma7WVmZsLHx4eSmsLCQsTFxWHt2rUsolNXV4ebN2/ivffeYxHTsrIyPH/+HCtWrKDTU8bDBwSkUiQSiXD16lWMHz8eQ4cOxb179+h1NfU0Iv//xYsXkZycjC+//NJiFRXou8YikQhPnjzBjBkzeMfZpVIpqqurMWXKFPpMJp5Q77zzDnx8fKiT9jvvvMPbZjYYDLhx4wZKSkqwe/duiwaq8fHx8PPzQ3BwMBVS79ixg55HhUIBmUxmtvp1//59NDQ0wMXFBbt27fpeqvGkEmh8fvPz83HixIl+xegvg9cE6BXFawJkGa8qAQK4oaPGIGLiyZMnU7LT09NDJ6CI9ketVlMvICcnJ1YrS6FQoKSkhCa8x8bGIjQ01CLhKi8vx927d7F+/XqzJXry+eLj4zF27Fjo9Xq0tLSYraxkZ2fD3d2d5X7b2toKg8HAIhfE2I5vEksqlaK1tRXBwcFob2/H+fPnOcZ7fDhx4gT8/PywevVqi8e1trYiIiKCjlfb29ubPU+xsbHIy8vDp59+CmtraxQUFNBqGsB2pSWp7MYi17y8PCgUCtbEDhEBjxgxgmM+KBQK8fDhQ+ogTLRCQ4cOpYnsAFgEKD4+HkFBQQgICEBkZCSsrKw4bTeCyspKWrVKT09HTk4ODhw4wNvG0Ol0aGpqgru7O2xtbXH27FnMmDEDkyZN4j1fz549o07GSUlJKCgowP79+3mJQEtLCxwcHODm5gaBQEDDS7ds2cI5trm5GR0dHQgJCYFWq4WNjQ3OnDmDoUOH8lZY6urqWGn0Go0GZ8+ehZ+fH8swMTExEQEBARxCwDAMrl69SgNFBQIB/f2SCUhTXyOiJQoMDKSj+MbEyBgVFRVQKpVIS0uDt7c3KxXeGNXV1VAqlbSKmJ2djaSkJE6br6GhAQ4ODrykJCYmBuXl5Rg6dCjGjh1rsUJUWVmJ0tJS2Nraora2Fm+//TanlfbgwQMEBQVxhhliYmJQWlqK5cuXo7W1lbrWfx/gI0A5OTmIiIjAhQsXvvXrvyZAryheEyDLeJUJEBk3N30oEI+fiRMnorKyEqNHj4a3tzerncUwDJRKJbKysrBkyRIahAr0PUyNd8s9PT10isrSeejt7UViYiKdMDOn0VGpVEhISKBGe42NjbzeI4R0TZw4kfUgJjEbxpNEOTk5cHZ2Nmun//z5c/j7+6O7uxvFxcU0M8scWlpa8Pvf/x7bt2+3OBoM9D3cysrK4OnpCUdHR6xevZq36kUckoOCgjBt2jSo1WpERkZiyZIlGDFiBIsAEf3J6tWrWcQvOzsbYrGYJQ7uz6W5qamJ7uJJTAbfsUqlEklJSbR61tbWhitXrmDNmjW8i5xSqUR8fDxCQkLg6+uL06dPY9SoUWYn6HJyclBfX4/Vq1cjLi4O1dXVOHDgAKysrDgTOATd3d00gmPq1KlmK0o3b97EiBEjMG3aNBrGuWnTJl7dSlZWFrq7u7Fs2TJotVo8e/YMtbW12LdvH0dUfu/ePU579NmzZ6iqqsLevXvp8RKJBBUVFZg0aRKH+KWlpSErK4u2om7evIkVK1bAxcWFNQVG0Nraihs3bmDw4MGYNm0aAgMDWVojMjZOyFBJSQkiIiIwfvx47N69mzefD+hr6cjlcsyaNQsikQjXr19HYGAgVqxYQZ/BOp0OnZ2dLPd4gry8PKSkpFCDT3t7e4vkB+jTmlVXVyM8PJw3Y7C2tpaSHHIOUlNTqffYlClTUF5ejoEDB5p1vP8uwEeAMjIycO3aNZw9e/Zbv/5rAvSK4ocmQMbJ2b29vbC3tzebRPwqoKurC25ubq/kNAAfAZJKpUhJScHChQvR1tZGW1oAWNWdrq4ulJeXs8bhlUolMjIyMHXqVKqraG5uRm1trdkJEDJW7+7uDrlcjtDQUKoB4iNAHR0dyMvLg6urq1nPHPI9iAOvnZ0drRKZToeYI0kAKNGzs7ODTCbDrVu3MGjQIKxcudLs++r1elRUVODRo0c00sISSBVgwoQJ8PDwMEv6WltbceHCBTqp1N3dDXt7e3h6etKHL7nHkpKSkJ2djU8++YSStIKCAt72mzmX5qSkJEilUtZ3vXXrFp3aM0VdXR2ePHmC9evXw8fHB48ePaIOxHxEsba2Fu3t7Zg1axays7ORkpKCffv28aZ9A30VBb1eD29vb5w7d441km86gvzixQs4Ojpi7ty5dGJr3759ZjdKZPTaxcUFp0+fRmBgIG8VR6lUQiQSwcnJCd7e3mhvb6cTS4SME6jVahw7dozlCk08fUytB0pKSiCXyzkO3GKxGFevXsXEiRPpc/bq1auYMWMGJbVyuRz29vawsbGBTqejo/ODBw/GwIEDea+5MRlKTk5Geno61q1bR0muaRtNIBCgtrYWdnZ2GDx4MC5cuAAHBwds27YNarUa1tbW9Ddy5MgRfPLJJ6xnSn19PR4+fIgxY8ZgyZIlKCwshL+/v0VCcuvWLZSWlmLZsmWsqBvT76HVaqHVamFvb4+ioiKkpKRg8uTJ9HlTVFQEDw8Ps1NhFRUV6OzstPgseRnwEaDU1FTcuXMHJ0+e/FavDbwmQK8sXhMgy3iV3aoVCgVtWRCtTlRUFN588034+/tzMrPIea+trYVYLKYtJ9PyPgEpq/PlWRF0dnZCJBJBrVbTh7U5AlRVVQWJRAKtVovZs2ebrcA0NDSgoaEB8+bNg5WVFZqamlBbW4vZs2ezdD09PT3IyMigJMkYeXl5kMlkmDNnDhiGwf/+7/9i5cqVZvON9Ho91cQMGjQIW7duNfudgb4d/3/913/B19cXW7Zs4dVJELx48YJWO27evAmgLxV64MCBHB+giIgIBAQE0Cm3pqYm3LlzB2+88QarSmYsXja9PjU1NWhpaaGLSFdXFyIiIjj+O0DfQi+VSmFnZwcHBwc6ybRw4ULeqBCRSIScnBxMnToV3t7eOH36NIYOHWp2XD03NxdarRazZs0yO+FlTIDy8/OhUCgwevRozsSWKdLS0uDl5YXRo0cjPj4eRUVF2LNnDy8JTUxMhLW1NebOnQsrKytcvXoVarUaW7duhV6v5w2YJSDOz46Ojqz7wmAwIC0tDYMHD2a1vEigKMMwVERNsvdMX5sQoJiYGFRXV2Pr1q1oa2uDt7e3xYmwuro6/P73v8eOHTvoM5yM7Ru30XQ6HZKSkjBu3DgkJSWhs7MT27dvh5ubG6ysrKDRaGBtbQ17e3tkZ2dj8uTJ9Nr09vbi0qVLGDhwIG1/JiUlITAw0KyTek1NDSIiIqDT6fDf//3fZj9/YWEhNBoNpk+fjry8PCQnJ2PMmDEsXVdlZSXkcjnvb5aQstzcXJw4ceJbdxEIETO+DxITE/Ho0SMcO3bsW7028JoAvbJ4TYAs41UjQOShRvQ75IFqY2ODgoICTJ8+nQoq+VBUVARra2ua0p6amorg4GDOlEh2djY8PT05GUcqlQqZmZkYPnw4AgICkJmZCW9vb9YCYEqADAYDrly5gpkzZ1q02Qf6HowCgQAhISHo7u42Gz5aW1uL1tZWzs6PnA9ixFhTU4ObN29iz549cHV1NdseUCgUOHHiBObNm2d2CokgNTUVcXFxWLp0qdncLaDvWp08eRJjxozBokWL0NzcDFtbW3h7e7PG4Al5vXnzJrZv3w4fHx/09PTAw8MDDMNw2o5EG2IsimYYBo8fP8abb77JWmCJqzSfmeDDhw9hMBjw1ltvQSAQ4Pnz5ygvL8f777/Pud8NBgMdY546dSry8/MRFxeH3bt3814jtVqNlJQUODk5YcyYMTh//jzmzp3Le770ej2NQwGAe/fuobOz02zshUwmQ2xsLEaNGkUrGtOnT+dtVRJdzuDBgzF69Gjk5eUhISGBTs0ZL3wk+mPDhg309xAXF4fCwkJs376dVfHo7u5GeXk5Jk2axFo0k5OTkZubi02bNtE20r179+Dm5sbKXSPIyclBUlISFi9ejICAAOTk5GDx4sVmf78KhQLnz59HcXExfvWrX1kk3lqtFg8ePICjoyOqqqqwatUqBAQEsAiSwWBAU1MTAgICqMaITFwJBALs2rWL3gsZGRkICAjgTYgnXkZ+fn6YPXu2xRT59vZ2REdHY/78+Xj48CEdtze+z8ViMdrb2zm6oObmZty9exc+Pj7w9/fH8OHDLY7nvyz4CFBcXBxiYmJw5MiRb/36rwnQK4ofmwCRneerih+TABmPoZOJLLIg2tjYQK/XU63Ny4S1pqenw9fXFzY2NvDz8+P9b0gG2NixY3l1AM3NzfSBExsby2u6qFQqodPp4OrqCr1ej6+//hqrV6/G8OHDLX7XxMREBAcHw8bGBmVlZWanzXJycuDi4sISWTc0NNBpNSJsfvHiBerr67F3717e3LTq6mq0t7dj6NChuHz5Mg4dOmQx7Z1hGHz44YeYMmUKDhw4YPY4oE/XdPXqVSxbtgx5eXlYs2YNXUBNfYBIhtP+/fsB9Pn3SKVS7N+/n7cSERAQwBIv9/T04NKlS9iwYQM9XxqNBidPnsTUqVM5xMBgMKChoQFubm7w9PSkx4aEhGDOnDmc32NTUxOqq6sxb948WFtb4+zZs/D19eWNXQD6tCZDhw6Fs7Mznj17Rr8bn36MVLImTpyIUaNG4datW1i+fDlrgsoYFRUV8PPzg4uLCyVKe/fu5SUM9fX1MBgMCAwMhFqtxtmzZzFixAhWW9B44Xv+/DkWLlwIe3t7tLW1ITIyEjNmzOCQ7PLycojFYlZbmOh2THVK1dXV6O3t5VTTZDIZzp8/j8GDB2Pt2rWora1FRUWF2XMK9N0XPT09dETdkoats7MTiYmJaGhoMOsADvT9huvr67F9+3YYDAbcvHkTYrEY77zzDq0SWVlZobCwECNGjMCAAQNYImziGeTi4oJJkyZhyJAhHDNKU5SWliI2NhY+Pj545513IJfLWRrExsZGdHZ2siqb7e3tuHXrFry8vLBp0ybWOvJdQKvVUrd1gujoaCQnJ+Nvf/vbt3791wToFcWPSYAsmdO9KvihCBApXRsLlQnBMW5l2djY0PNnTgTN99qxsbGYMGECysvL4e/vz5teTTK95s+fT3dCer0eGRkZ8PPzo20yhUJBJ0f4qncqlQplZWUYPnw4bVFZqvIRUfSMGTPg5eXFaRMQ6PV6xMXFYdKkSRwBr+mI99mzZzF8+HC66zYlQERTVFVVBaFQ2C+haW5uxr//+7/js88+M9tGIyCTS+vWrUNmZiaWL1/OITISiQSurq74+uuvMWPGDEydOhU2NjaQSqW0+mPcyqmrq8OtW7ewY8cOSkw7Ozvh5OTEqWrl5uYiKSkJBw4cYO1oZTIZHjx4gDlz5lAySqpJpC1lPAavVquRnp4Od3d3TJ48GUVFRYiOjsbOnTt5ncY7Oztx7949vPXWW7C2tsalS5c400WmIKaZV69eha2tLbZv3857XE9PDyIjI7F+/XpIJBI8evTI7Gg7wzCIiorCkCFDMHXqVDx69IgSYdNnjVqtRlZWFiUzDMPg4sWLEAgE2L59O4tk6PV65ObmwsfHB4GBgfT48+fPw87ODlu3bmWZKLq7u3Om1YyNCXfv3g2NRgORSASGYcyOksfHx6O4uBienp4YNmxYv6L8lJQU3L9/HwsXLrToGQSAav7i4uJQWVmJVatWYejQobSdptPp8PDhQyxcuBBOTk7073q9HlevXgXDMNi1axfS09OhVCrx1ltvmSUm2dnZePjwIUaNGoUtW7bQc2VMgFpaWiAUCimJFIlEuHnzJjw8PGiQ6t27d2nuIB/a29vh6Oho1nmbD3wE6MmTJ8jOzsaf//znl34dc3hNgF5RvCZAltHd3Q0XF5fv3K3a1GSQREgYp6HzmQwaw5LYmECtVuP27dtYt26d2fYP0KcTIVlixg/9xsZG+Pj40FZLW1sbKioqaAwBHxITEyEQCKDX6y0eB/QtFDk5OXBycsKQIUPMtsi6u7uRnZ2NsLAw2NraQiqVIicnB+PGjWNpJeRyOb7++mu88847rAVFJpNBKpWisrKSuiufPn0aQUFBvK0JgpycHFRUVEAsFvcbjsowDL7++mv09PRg7969ZpPBGYZBeno6UlNT8e6776KpqQlPnz6lKd7GY/BA35hwT08PNbwki7StrS22bt1Kzy9ZjH18fDgLX2dnJ7KyshAeHg5bW1s6kTZixAhaTTIeg8/Pz2d52Zw/fx4DBgzgzZxiGAYymQxNTU0YN24c7t+/D7FYbLaFRcTE7733HoRCIZ4+fYoVK1aYneDTaDQoKCjA1KlTceHCBbi6upod85ZIJGhtbcWIESPQ2tqKu3fvIjw8nOWATkC8fTZt2oTAwEAkJSUhNzcXmzdv5lQ/W1paUFFRgdDQUPosiI6ORllZGbZv386qety9excqlYozfh8fH4+CggLaYhOJREhMTMTixYt5K48VFRWIjo7GjBkz4Orqiq6uLotxFBqNBv/1X/8FBwcH/OpXv7J4rxYWFmLixIk05yssLIwjuCYbk8WLF9PvTMwSe3p6sGXLFri4uECv16OhoYElwjYe11coFPjqq6/Q2NiIo0ePcjaThAB1dnaioaEB06dPh1gsRmRkJNzd3VnEMjMzEzKZjPc329XVhevXryMhIYEKvV8WfAQoKioKhYWFFrVML4vXBOgVxWsCZBnfRVzHN6nuvAz6I0BqtRpHjx7FypUrzS4uQF/7qKmpCXPnzgXDMMjKyoK3tzenSlRRUQG5XM4rjq2rq4OPjw8cHR2Rl5cHpVLZ72RGcXExdDodJkyYYHG8XigUQiQSsaZJmpqaOCaLRUVFePbsGT755BPO9ZLJZCgrK8OMGTPQ3d2NEydOYPv27WanS3Q6HZ48eYLk5GQsXLjQ4uQY0CfwjoyMxODBg7FmzRqLeU5EgLt7927o9Xo8efIE4eHhHB8gKysrnDp1iiV0ZhgGQN+1NX5YC4VCPHjwAFu3bmUt3kVFRQDAco8uLCzEixcvOPodjUaD5uZmVFRUYNasWfD09ERpaSmePn2K7du384pyExISoFKpsHDhQkgkEly7dg1Lly61mHj+5MkTLF++HOfOnYO3tzdWrVrFOwZfWVmJ+vp6zJkzByUlJUhPT8fWrVvNGjE+fPgQEydORFBQECIiIuDk5MTrAUSg1WoB9JHwO3fuYMqUKRxHZoPBgPT0dNjb29P7vrq6Go8fP8a8efM4JpoMw6Cjo4PVuq2pqcHDhw8xc+ZMakxYXV2NxsZG6r9lfP9LJBJcvnyZtjoNBoNFA0SGYXDt2jWUlZXh4MGDtDrFB5VKhSNHjmDmzJkoLi7G6NGj6abCGGKxGI2NjZg8eTL9jd25cwetra3YsGEDvceSk5PpsIKpCFuhUODy5cuwsrLC/PnzERQUxCJH5B+5XI6uri7IZDIMHjwY169fh4uLC6cCB/AntIvFYty8eROOjo6YOXMmhg8fbnGzxwc+AnT//n1UVFTg97///T/1Wnx4TYBeUfyYBIhPl/Gq4ZsQIIZhqGbHuLpDprFeprrzMniZClB/KCkpgcFgoAtWc3MzvLy8ONckKysLXl5evK0zQpiGDx+OlJQUeHt70xwoPigUCkRERCAoKMhi2CV5bU9PTwwdOpSKr/lK33fv3oVarWaNeOt0OqSnp2PmzJl02qWgoACZmZlmqzkikQj19fUIDg7GiRMnsHHjRosutwDwl7/8BdbW1vjss88sHtfT04OTJ09ixYoViIuLw+bNmzFo0CDOGDzDMIiLi0N5eTl1dM7KykJGRga2bNnCGT/mG28nBpdOTk70N04qRAMHDsSqVatYr6FSqVBYWAhHR0dMmDCBppl7eHiYTQAvKCiAi4sLgoKCcPv2bchkMhoOaor09HT4+PjQtmh6ejp27NgBLy8v3iTurKwsSKVSzJo1C+fOncO4cePM+gu1t7ejrKyMjuTn5uZi27ZtvG260tJSJCcn48CBA/j/sfffUVGm6dY4vClyzjmKRMlBRAUVFRCMmAW11c7Tsyb3nDm/nnNm5j3znvdMOJNDB9sEiqiIAQUBRXLOOeecoaooKn5/8N331FMB7W67m55hr+WyV1sUT372fV372lsikeDq1asQCAQKReLj4+Po7e3Fhg0boKenh6WlJVy6dAkWFhZy+WrPnz+HiYkJo9LE4/Fw+fJlmJub4+jRowD+Edvi7e0NXV1dRvuHnB+JRELbSh0dHTh37pzS50RWVhY1Szx16tQLp6Gam5uRlZUFZ2dnHDhwgCaxSz/f6uvrweVy6YLjyZMn6OzsRExMDCMm5+LFi9i+fbtc1ZbP5yMpKQlCoRB+fn5wdHSEhYUFQ3gt/d+9vb2UEOrp6SEhIYEuBsl+5+fnY8OGDYxzOjY2htTUVOjr6yMhIQH9/f0Kp1lfBnw+HyKRiPHcS01NRV9fH372s599ru+UxhoBWqX4qggQsPxAAPBPRYBIP1ya8IhEIrBYLKVj6K8KX5QAlZaWwsLCApOTkzQ0VBbkZezr68tYeQ8ODsLY2Ji+tAQCAXJzc7Fp0yZoampCIBDIESBSBcvOzkZYWBh1pVYEoVCI58+fIzAwECYmJujt7YWdnZ3c6k8kEuHPf/4zwsLCEBwczPg36bFe4gNkYmKi0NVZIpEgOzsbY2NjWLduHaqrq1/Y8uJyuXjvvfewefNmpYnoBHl5eWhoaMC7775LM6/WrVsHFovFIEBisRiffPIJbGxsGCSlpaVFboR9YmICiYmJ2Lt3LxWEC4VCNDY2wtfXl/ECId5GCQkJjAqRRCJBQUEBNDQ0aJWpq6sLWVlZctUkcryfP3+OdevWwdnZGb29vUhLS8PevXuVti8fPXpEfX0uXrxI/WSkv5MQoO7ubmhoaMDGxgaPHj3C0NAQLly4oPDFzuPxUFpaiq1bt2Jubg5JSUkICgpSapYoFAqRlZWF2NhYFBYWoqqqCocPH4aZmRnjGSSRSFBYWAgjIyNaObt37x6Gh4dpm1IahYWFEIvFDC+hlJQUmj1GKtyTk5N49uwZ9u/fT38fIUCZmZno6emhBFckEqGhoUGpBUVVVRVKSkpgb28POzu7F8a5pKeno6OjA5aWllRLA0COANXX10NLSwtubm7Iy8tDY2Mjtm/fLlfRm5qagra2NuNYCIVCJCUlYWlpCadOnUJ5eTlYLNaKLebq6mqkpKTA3d0dJ06coFYBpNLJYrFQVlaG2dlZOq04NDSEhw8fwtjYmO7LRx99hMOHDyutvE5PT68ozlZEgFJSUjA2NoYPPvhgxWP7MlgjQKsUawRoZcgSIEWtLFLdkdXufNn4vARILBbj6dOnCAoKAo/How7GslAmdpYdkZ+amkJNTQ0iIiKgqqoKHo/HIEBLS0soKysDn8+HioqKXJipLCYnJ1FbW0t1QcpK+n19fbh58ybeeecdGBoaQiKRoKqqCp6enoxqAo/Hw29/+1vs27dP7oXC5/PR0NCAoKAgWhF4kVni1NQUCgoK0NXVhffee2/FFi5JkF9YWMCpU6eoq+/MzAyMjIwYBKinpwcPHz7E6dOnIRaLkZaWhsjISIXENDMzE0NDQwydTWVlJSoqKuRMA5OSkqClpUWrEAQjIyPo6OhAUFAQdHV1wePxcPXqVVhaWuLQoUNyv7Orqwv19fXYsWMHjI2NkZSUBBaLpdAzSSKRoK+vj67Is7OzqXuy7PESCoWYnp7G8+fP4e7uDkNDQ9y/fx+7du1S2kqrr69HS0sLjh07hps3b4LH4yk1baysrISDgwMsLCwwPj6O5ORkBAQEYNu2bXKtj4WFBVRUVFDdTU1NDfLz87Fnzx65aJfJyUm5KlNBQQFqa2uxf/9+RjVibGwMw8PDcoJwosGJjIzEhg0b0NfXh5mZGaXEp7e3F+np6fD09IS6ujoCAwNXvP+FQiE1NvzlL38pRyQJAVJVVaWDCE1NTfQYyE6P9fT0YG5ujrF9RBe0sLCAkydP0qre6OioUh3c9PQ0/vSnP8HQ0JAG2soGHBMiRAZRuru7kZmZCTMzM8TFxdHnbGtrK7S0tODq6io3HdbR0YH09HQsLCzgP//zP5UeJ9kcPAC4fv06Zmdn8ZOf/ETpz70s1gjQKsUaAVIOiUSCubk5qKurU9EyMTT7sqs7L4PPQ4Dm5+dx6dIlREZGynlsSINMSBER88DAAIyMjOSqOl1dXZicnGQ8KAkB0tXVBYvFAp/PR1dXF7hc7gtXqm1tbWCz2TA1NYWVlZVScpGTk4O+vj68/vrr9P9VVVXB3d2dcTwaGxuRkZFBYwukr7Xi4mLU1NTgwoULWFpawkcffYTjx48rHdeXSCR4+PAhHj9+jF27dikV4hJ0dnYiNTUVZmZm8Pf3p/tOCJCuri5EIhEEAgHu3LkDADh+/DhUVFSQmZmJ6Ohouek5LpeLjz/+mFHx6u3thYODA+bm5hianu7ubty/fx+HDx9mGNf19PSgv78frq6utJ3Y2NiIzMxMHDt2TM7kbnx8HOPj49iwYQNYLBZaWlqQmZkp970ElZWVKC4uRlxcHLS0tJCUlLSioWFvby+Wlpbg4uKCa9euQVtbW6FbNbBc9SLOwb29vSgsLMThw4eVarlu374NQ0ND7N69G4mJiQDAaNMRAqSpqYnS0lLo6+vDx8cH09PTSExMhIeHB6KjoxnfKRKJaCArqW709PQgPT0dAQEBDKHy1NQUamtrERAQwKhA9Pb24uHDh3BxcUFUVBRUVVVRVlaGtrY2nD17Vm4/ZmdncePGDVhaWiIiIgIFBQWIjo5Wen+QabO5uTnEx8crrbZyuVzweDwUFRXB1tYWJSUl2LBhAyIiIuQ+29raitLSUpw7d47xO2ZnZ3Hs2DGYm5tDKBQiMzMTsbGxCsno1NQUbt26hZGRESQkJMDd3R1sNhs6Ojpyny8sLMTGjRvR29uLnJwcWFtbIy4ujkGOJicnqV+WdERIfX09KioqYGVlBQsLixcOYygiQImJieByufjRj36k9OdeFmsEaJXi6yRAHA4HKioqL0w4/qogW90hERKqqqpQV1f/Sqs7LwPZSsvLoK6uDh4eHiuOpbe2toLH49FVXnV1NQwNDeX0P1VVVdDX15drfczNzaGkpATm5uYICgpCcXExrK2tX+gDdOnSJbi5uSltYRB89NFHcHV1xc6dO1FfXw8nJyeFI6/SuiBCtjU1NWmLiM/nQ0NDgybDv/feewrPLY/HQ19fH6ytrfH3v/8dBw8eXFFUDgB//vOfweVy8W//9m9yIngy+s1isaiHz549e9Da2op169bBy8uLtgCkIw2Ki4tpjpmmpibGx8dx69YtxMbGyumUUlJSIBaLGSJgPp9P3ZNJa4d4C5mZmSEmJkZuDP7Zs2dQU1NDZGQk/ayRkZGcBoacQxUVFQgEAqirq+P27dtgs9lKE7wbGhrQ3NyMyMhI1NXVob6+XqnIWSQS4c6dO/Dy8oKTkxMuX74Md3d3hh+S7Dkj+0GqLKdOnZITcgsEAvT396OnpwfBwcEwMDDAtWvXIBaLlVaUxsfHoaurC11dXXC5XFy9elVhAGljYyMGBwcZOjcOh0M/f/z4cbDZbGhoaNC4F9lhAIFAgKtXr0JVVRVnzpzB+Pg4hoeH5dq90nj48CFtH8tGpMhiaGiIOkS7uLjIkT1pEKsJsVhM/YIOHz5MfcEWFxdx5coVJCQkyN2Pk5OTuHXrFnR1deHm5kZbdwAUEqC0tDTMzs6Cx+MpjTa5du0a9uzZQ88paefW1tbCzc0NmzdvRn5+Pnbs2EErQ4pE2MQRW5YAXb58GWKxGN/73vdWPIYvgzUCtErxr0qAiHZHNiCUiJTJ3+TmXI2BrZ+HAL0IZWVlMDc3h0QigYWFhcLvJrogHx8fxguFPMA5HA41l8vNzUVoaOiKeh8ej4dbt24hMjJyRVfX6elpfPTRRzh79ixsbW1RU1MDJycnuRFigUCAP/7xj4iIiKBVFzabTVeF0mPOxIxOmRibaDPc3d3R2Nio0CVZGmw2G9/5znfg5eWF9957T+7aIu0GDoeDiooKdHd34/XXX6fCVBcXFzpBQ0bi+Xw+Pv74Y3h4eCAsLIzGJwwPD8tN1gwODuLOnTvYv38/bZ0JBAJUVlZCR0eHaoMAUDfn06dPw9zcnL4ENDU10dzcDEtLS5iYmIDFYqG6uhr5+flISEiQIyh8Ph9XrlyBnZ0dYmNj0d7ejsePH2Pfvn0K23dCoRCjo6Pg8/kwMzPD5cuX4ebmhpiYGIXHlMfjoba2FkFBQXjw4AEdsVd0T/b29uL+/fvYvXs3jIyMcOfOHaUu0QKBAPn5+XB0dISLiwuePXuGhoYGhWPwS0tLuHHjBo4fP07bqykpKZidncVrr73GeHFyuVw6FSltfpmYmEin/8i2P378mI6US0MsFuPWrVuYmZlBQkICVFRUqHhakUEpsGxq2NzcDG9vb/D5fKXkkODhw4coKSlBUFCQQkILLJ+rlJQU7N+/HwYGBrh9+zbGx8dx8OBBhgu1RCKhLUHpSsvExARu3boFAwMDxMfHIy8vD2FhYYxzJ0uAKioq8OzZMwQEBCjdh8LCQpibm9O2JMmMCwgIQGhoKJaWlpCfn0+1ZrIRIWKxGJWVlQgMDGRsr7q6OkZGRgAsTytqa2vj29/+9orH8WWwRoBWKf5VCJCi6o7sGDqxgpfGak6sf5UESCQS4dmzZwgMDERfXx/Mzc0VthVISClxzCXbUV5eDj09PQQGBmJpaQkDAwPo7e1VautPxu3FYjGWlpYYoayKUFpaisrKSoSHh8PR0ZFheiiNlpYWpKen47333qPXVUNDA5ycnCAQCGgbYmZmBh9//LHClpdYLEZHRwfc3d3py93R0VHp6pg8/O/fv0+diQmBlq4ckv1bWlrCb3/7W5iYmCAgIADBwcFyU2DEB4hEJbzxxhvQ0NDAlStX4OnpidDQULmH+v3798Hj8egLU1VVFfX19ZicnGScL7FYjIsXL8LGxobhPMzn81FTU4OOjg4cPnwYOjo6EAgEuHjxIpycnJQSlK6uLlhaWkJHRweXLl2CiYmJXII6+f579+7Bzc0N/v7+SEtLw8TEBM6ePQuRSCQ3Bt/a2ore3l74+flhamoKz549Q0xMDA0SVYTu7m5aISKtNEXXX3NzM0ZHR7F582Z0dXXh2bNnCA0NVRjVIRQKcf36dRw/fhza2trIy8tDfX09Dhw4INcCLCkpweLiIiIiIuj5fvToEbq6unDq1CkGeZyYmEBzczPCwsIYlR+SNn/w4EHY29ujs7MTXV1diIyMVLgvZWVlqKiogKurK3bv3r2ipQSwrJ371a9+hcDAQJw8eRJaWloKST0ZHDh69CiysrIwPDxMjRKl8fTpU9ja2jKqosS52cjICKdOncLS0hJycnIQGRnJIIsSiQQcDgc6OjooKirCnTt3cOjQIYUtOPL5hYUF6OvrQyKR4N69exgbG8P27dupZxWPx0NxcTF27NihcIz+xo0b1J19+/btdJFBqrK/+c1v8Lvf/Q6qqqqwsrJCWFgYPD094eHhgZCQEKU5aCthjQCtUvwzEqBXYTJI8K9AgObn55GcnIxjx46tOCkhG1JK2gxisZghPqyvr8fc3NyKrayBgQGMjIzQseuVkJSUBENDQ9jb28PBwUHpNt67dw+Li4t0NV1bW4uCggIcPnwYRkZG9ForKipCTU0NvvWtb8k9IPPz81FbW4uzZ8+Cw+EgKSkJZ8+eZVSmZMn0kydPcPfuXRw9ehR79+5dURdWXl6OgoICrFu3DiYmJti6dSsV0wOgUzCLi4u4ffs2rU6JxWK0tbXBw8ND7mU1MjKCGzduIDY2Fq6urhCLxWhtbcX8/DxcXFygp6dHK0R1dXUoKiqiKedkG4eGhsBisSAQCKjoPD8/HzU1NXj99dfldGaFhYUYGhrCiRMnACy/+MvLy+louyympqZQV1eHkJAQDA0NITMzkwqLSa6dNAEiuWMeHh7U1VuZq3F2djZEIhH27NmD7OxstLW1ISEhQaG54NTUFLq7u+Hg4AADAwN8+umnMDU1VegXNDIywjgeHR0dyMzMxMaNG+USztlsNl04kKpoWVkZysvLsXPnToberqysDK6urjAxMQGbzYa2tjZUVVUpyd+2bRt8fX0hFotRVVUFBwcHhVUfEinh5eWFhYUFzMzM4LXXXlN4jIDlFtaf/vQnaGho4P3334eqqiq4XC40NDTkriki0r9//z6GhoYYI/DSePbsGbS1tam/0dDQEO7du0cjK0ibt66uDuHh4XL3hEQiQXp6Orq7u9Hb24sPPvhAoX0B8I9K48mTJ3H//n2w2WzExsYyCAmHw0FxcTF2797N+F3z8/O4efMmJBIJfHx8wOPxGNNpJFeRkDMej4df/vKXEAgEsLW1RWtrK1pbW5GQkPC5WmJrBGiV4uskQC8b5bASviyTQYLVHNj6qghQUlISYmNjVyQ/9fX1UFVVhZeXFzgcDiorKxlaEgLiA2Rtbc3QAQgEApSXl8Pa2hpOTk7Iy8uDu7v7iqGJi4uL+MlPfoL4+PgVA0oFAgH+/Oc/Y8eOHQgMDERdXR18fX2xtLREH2iEbCcnJ8PW1pbR8hKLxejq6oKrqyvVBWVkZGBoaAivv/66Qv0Ol8vF4OAgnVg6f/680tYEsLzyJFM4P/jBD8DlcikBJySMiDuJV8uZM2fw7NkzmJqaYufOndDQ0GB8Hlg2p5ufn6ep48RTxc3NjU6cSSQS8Pl8XLx4Efb29lTPAyxrM7KysrBjxw76eaFQiEuXLsnlWhGMjo6iq6sLW7duBZvNxqVLl+Dt7a1w3LmpqQmzs7PYsmULRCIRPv30U5iZmTFaLoQA6ejooLS0FEZGRvD09MSDBw/opJsysW9bWxsWFhZgbGyMR48eKTQnJOc4Pz+fevXcvn0bU1NTiI+Ph7q6utwgxsOHDzE7O4uEhASad2VnZyfnhE0mKs3NzRk2Ao8ePYKPjw+jkkEiPxwdHelxZbPZ6O/vp1E1xIixt7cX9fX12LNnj9ziiyShS5PCwcFBpcGoZPtJ5Iv0NJssASJTi2pqahAIBIiOjlbYxlxcXKSkWl1dHX19fUhPT6daKHKNtrW1QSAQKJzmIxEl/v7+8PLygp6entLqFTl28/PzUFFRwbFjx+SI0uzsLOrq6hiC54GBATx8+BA6Ojr0XJMcPmksLS0BAOM5/8c//hF2dnZU9P1FQAjQs2fPcO/ePToUkpOT88KK3WrDGgH6nHgVBOhVVndeBv8KBGglkHBUV1dXaGlpwdTUVGFW19LSEvLy8hAaGgpNTU0sLS0xCNDw8DAsLCzAZrNRUVGBbdu2rXhMm5qacOnSJfzkJz9Z0VW5tbUV9+/fx7e//W10dXXh+fPnOHLkiNz4bXd3N65fv47z588zXhQFBQWoqamh6d0CgQB/+tOfEBQUhODgYAgEAnp9kXZWfn4+enp6oK+vD6FQqDC/ikyliEQidHR04C9/+QuCgoLoZwmpIjYKBDdv3oSOjg4OHTqEtrY2ODo60uNIyAywLMS9efMm9uzZA09PT4yMjGBwcBBOTk5yAbKlpaUoKyuj48bA8nUtFAoxNDQEd3d3uj1ZWVno7++n3jvkJTc9PY1Hjx7h/Pnz9HsfPnyIwcFBvPnmm3IVBC6Xi8rKSkgkEmzfvh05OTlobm7GuXPn5ASyQqEQ7e3tNMyWzWYjKysLkZGRct5H5LszMjJw5MgR8Pl8fPrppwyzQVn09/ejr68PISEhqKqqQmVlJQ4cOAAnJyc5/xci4BYKhWCxWEhMTIRQKGSkohOQeAwfHx+YmZlRQbuVlZXctnA4HOjq6tI2C7BcYbp+/TpcXV0psRIIBGhra4OWlpYc8ZicnMTNmzdpiGhWVhZsbW2VTnPyeDw6yeTh4YFt27bJET2iJyP79vvf/x5CoRCHDh1S2mosKirC5OQkDhw4gN7eXmRkZMDS0hJxcXEMMp+XlwcbGxvGkASxdxgbG0NERASdhpTWpsmip6cHmZmZNPpFUcdgfHwcHR0dVOtVW1uLkpISSrZZLBYKCgpga2ursJKliAD97//+L1xcXJTm030WEAJUXl6OhYUFLC0t4Te/+c0aAfq68VUSIFJmfFkCpKy6w2Kx5AjPlzWGvpoJ0NLSkhzReJVYXFxEfn4+AgIC0NLSAnt7e4UPj5GREbS0tNCe+9LSEqamptDZ2Qk7Ozv6M11dXRgfH6flclmIRCJUVlais7MTAF44wXLv3j1wOBy4uLggJCQEAoFAYasyJycHLS0tOH/+PPT09CAWi9HS0gIvLy/qTSQUClFXV4cnT57g/PnzMDY2ZlxfJOA1MDAQ8/Pz+OijjxAdHU2df2UFlhKJBD09PXSU+vjx4xCJRPR6BsAQ2/f39+Pu3bvQ09ODlZUVtm7dCh0dHUqQpCdY0tPTMTs7izNnzmB6ehoNDQ0wNzeHl5cXYxRYIBDgk08+wYYNG6gYlMfj4ebNm/Dz82PEHIyNjSExMRFbt27Fpk2bGPuysLCAtLQ0nDx5EmpqahgaGsKDBw+wc+dO+Pn5MdqfHA4HVVVVCA0NhYaGBkZHR5GcnIwtW7YorOIRt2VXV1doa2vj0qVLsLW1VZg5BizrZu7cuYPz588jKysLg4ODCs0JgeV2TGdnJzw8PMDn83H37l34+/sz4i4IAVpcXERSUhKtIGVmZqKzsxMnTpyQI+AkJDYwMJCS4GvXrgEAzp49yyBK5LzGxcXRVg2bzca1a9dgYGCAAwcO0BZlfX09ZmdnsXXrVsZLUTpxPSEhASwWC7m5udDR0VF4TMn2CIVCeHp6Kn3pk/OlqamJP/zhD9DQ0MCePXuUGloCyxWVsbExGBoaIicnB5aWlnJ6r8XFRTQ0NFAHbeAfcR3z8/O0bZWfn4/5+Xns2LEDurq6cs/w3t5e/PnPf4aqqir++7//W+nwQV9fHyYmJhAcHIycnBx0dHTAzc2N4RxeVFQEsVistC2viAD9+te/hpeXl1JLhs8C2RZYbW0tvv/9768RoK8bq4kArRQh8VWbDBL8qxKgwcFBFBQU4OTJkyuSy6amJggEAlr+J+2W0dFRODg40J8tKyuDqampwnI6QX19PbKyshAeHv5SLS9zc3PMz8/j5MmTcvEQwPL19Le//Q1+fn502qO8vJwGUpIgRxUVFdy7dw9aWlo4duyYnH4nLy8PLS0teO2111BeXo76+nq8/fbbYLFYDMIj/TPPnj1DUlISvv/972P9+vW0JUsIj3SFMiUlBXw+HwEBATAzM5Or4JBKEtH6REREwMrKCq2trbCxsYGTkxMlR8ByhTU/Px91dXW4cOECtLW1aZuppaUFwcHBjPsoJSUFXC6XnmstLS0IhUIkJyfj9OnTNOdJJBLh6tWrUFdXx/Hjx+m+E1RXV6O3t5cKj2/cuAGJRKIwHoOI6dXV1REeHo60tDRMTk7i3LlzCn3BysvLsXHjRqioqKCuro5O+CiqEBFRvpGRETw8PHD58mXo6+vj1KlTctcyIUBdXV3w9PREQ0MDCgsLqQ5HFrW1tejv76euxKmpqRgdHUVCQoJCYT4JHQWYxIRMgrHZbOp2bGNjw2hP8fl8BrHS0NDAwMCAUs8jkUiEpKQkcLlcxMTEoKmp6YWO6zdu3MCjR49w9uzZF47AEw+mvLw82NnZycWpAMuV1uHhYaoTJLEYPB4PR44cgaWlJb1XiHaQVMfIuamrq0NxcTEN41U0wUfQ3NwMoVCI1tZWTE1NYfPmzXImkmKxGBMTEyu2qElMk/Rz/r//+78RGBj4Qr+vl8EaAVql+LoIkEQiAZfLhVAohKqq6qozGSSYn5+HhobGqgxs/bIIUHd3N/Lz83Hw4EGFQlLgH54bTk5OcHBwoKttBwcH2NjY0O0i46jBwcFy30WqBb6+vlhYWMD169fx9ttvK/2dwPJL9uOPP8Zvf/tbhatGAmJC+Prrr0NTUxM1NTXw8fGBSCRiTGYRY8i4uDjGyndubg5tbW0ICQmhxPxvf/sbDY8k1zG5lsnkWE9PD5aWljAyMkJHtcl0oey2joyM4Kc//SmCg4NXNKsDlrU+s7OziIuLQ11dHTQ0NBAaGkq3jfy9sLCAK1euMAz5bt26hXXr1iEkJARqamq0ldbe3o7MzEw6Mk/aferq6vjkk09w8uRJei7Ky8tRXFyMU6dOMV4kYrEY1dXVcHZ2ppEKZWVlKCsrw+HDh2FjY8MY0xeLxaitrcX69ethYmKC1tZWZGZmYtu2bQq1O4uLi/j000+xceNGuLu7IykpCS4uLgptC8hkoba2Nry9vXHv3j2Mjo7i7NmzCs1Cnz59Ch6Ph127dmFmZga3b9+Gp6cnIiMj5T47MDCApaUlmJqawtjYGLm5uWhqakJMTIycP1ZRURH4fD7V/5CR9unpacTHxzOIUllZGQwNDeHu7k6vD7FYjGvXroHH4+H06dPQ09PD5OQkrVDJGkoSfczCwgJOnDiBmZkZLCwsKHWTBpajMXp7e+Hv74/Q0NAVrR1KSkqQk5MDU1NTODs7K7WMKCsrg6amJvz9/WkQqlgsRnx8PH1GdXV1obCwEGfPnqX3DiFAhYWFqK+vh5ubG1xdXV+Y61VSUoLCwkLo6enhwIEDcm1vsViM9PR0bN++fcV7C1BMgP7rv/4LmzdvVpqF91mwRoBWKb5KAsTlcrG0tMQwGSQX3WozGSRYzYn1X3YLTBk4HA4KCwsRHh4OFosFLS0tqp0g28Xj8cDhcNDW1obt27crPK/t7e1wdXXF06dP0dPTgzfffHPF3/ub3/wG7e3t+Mtf/qKwIkeqFGlpaZibm8ORI0dQWFiIzs5OHD9+HAYGBtSdGgByc3PR3NyMd999l7F9z58/R2dnJ+Lj46GqqoqWlhY8fvwYFy5coC8v6XaWRCJBY2Mjuru7MTY2hm3btikcp5bG7du30d7ejtdee02peBVYbk2RFx+fz4eNjQ2tKMmCtG1IsCeHw0F1dTX8/PzouSH7mZiYCCMjIxw6dIhWsB48eICYmBhagWGxWFhcXMSlS5fg6ekp58nS0NCAyspKHDt2DHp6epifn8eVK1docKn0mL5IJEJ5eTn6+vpw4MAB6otjZ2eHffv2QSgUQkdHh+7X5OQkDAwMoKGhQdsnPB5PoRYHWK4EDA8PIywsjAbe7tmzR6mOpaWlBRwOB25ubrh27RpMTEwUjsxzOBxkZmbCz88PLi4uqKurQ0FBAUJCQhSe4/r6eszMzNA226NHj9DT04MDBw4wIl1GRkZQUVEBPz8/2NvbU3KYkpKCmZkZnDhxglHVnJubg76+PmP7pD9/7Ngx8Pl8NDY2Ijg4WGFFFFjWbbW3t4PNZuONN96AkZERDWOVBQluffbsGTZu3MjIb5PG/Pw82tra6ERfSkoKNDQ0kJCQwHhuzs3N4enTp4yWmVgsxt27dzE+Po6NGzfCwcEBycnJePvtt5UmBAwPD+PXv/411q1bp3BCEfiHdUFsbOyKGkICRQToZz/7GSIiIhRWuj4r1gjQKsVXTYAWFxcp2SHeC18kzfzLxhoBYqK/v58Gkw4MDMDDw0OutMzn81FZWQk9PT1GG4F4A/n5+cHAwABisRgfffQRPDw8lPp+9Pf3o7GxEa2trQgPD2esfqUF8QKBABwOB59++im8vLxgYmKCLVu20OqLtOWCWCzG3//+d3h6emLnzp0Qi8Xo7e2lDrtER6OiooKbN29CTU0NcXFxNPSWiKKbmpowPT2NPXv2oKCgAHV1dXj77beVWiZIJBJcu3YN+fn5eOONN5RqoQju3r2LkZERbNiwAZqamti8ebNC4jM9PY0rV64gPDwcwcHBuHnzJuzt7RESEkK3hZCR4uJiFBUV4cSJE3TqTyKR4MqVK9i9ezeDXD1+/BgDAwM4f/48Iwy4vb2dTu+RPLPbt29jZmYGFy5cYBAUiUSC+vp6mJubw9DQEDo6Orh37x4GBwdpW0c6xgBYnkrU1tZGfHw8SkpKUFNTg6NHjyrMlerv78fY2BgVNKempspNXxHMzs4iJycHR48epeSBTILJTkCKxWIMDQ1hZGQEGzduxNDQENLS0uDq6ipXARGJRHj69CmDIObn56O+vh47d+6k/jTAcvu2vb0dqqqq8PDwoCaADx8+xMDAAOLi4uh+NjY2oqysjBH3QkAMCePi4mBtbY3a2lqwWCz4+fnJfRYA7t+/j8HBQezcuRM9PT2IioqCmpoaI41eGn/5y1/Q2dmJw4cPM0JeZVFeXg6JRAIbGxs8ePAA+vr6iI+PZ1wDQqEQk5OTjNYuIbVzc3PYsmUL1ZJVVlYiKChI4XXe1NSEJ0+eYGpqCj/72c+U3mcikQjz8/MwMDB4aXLB4/HAYrEY3/nTn/4Ue/bsUep/9VmwRoBWKb7qFpj0FMTi4iKEQuGXOsX0RbFGgP6ByspKcDgchohUFmKxGDk5OXB0dKR6BtIuGh8fpx4pIyMjuHr16orj42VlZSgtLQWPx8O3v/1tqmUh+U1EEK+mpoampiYUFBRgw4YNmJ+fx/HjxxmrZUKA+vv76dg6sfXPz8/H5OQk4uLiaFl+dHQUiYmJtMUh3ZJVVVVFbW0tJicnERERgQ8//BBeXl4rmrcRDxMul4vvfve7K1Y6h4eHcenSJTg6OmLLli1yLRZp3L9/H2NjY7hw4QKEQiEqKirg7+9PjeKIpo6Mq7u7uyMyMhKqqqp48uQJdu3aBW1tbUYbrbu7Gw8fPqQ6GNK+6u7uRlFREcOxu76+Hs+fP6ceRNKC6ObmZtTV1WHfvn0wNDREY2MjJQrS2h2yfZqamlBVVYVAIMDw8DDu379PWzSy8QXEV2j9+vWwt7enOh9lxofDw8N48uQJzp49i9zcXLS0tODQoUOwtLSUi0B4+vQp1NTUsGnTJgiFQiQmJsLY2FjumgKWtXL37t2jJKq2thaFhYUIDg6W8woiQlxCzCUSCe7fv4+BgQHExMQw9HECgQBZWVly3kdpaWkYHh7Gvn374OjoiN7eXvT19cmZKRLcu3cPQ0NDCAoKgqqqqlz7TJYAPXv2DE+fPoWjoyPeeustpdedSCRCWVkZxGIx6uvrYWZmhqNHj8odn+bmZmRmZuJb3/oWtLS0sLi4iBs3boDP5+Po0aMwNTWlrfCtW7cyiDZBbm4uDTz19vZWmikHLD8zhELhirohRVBEgH7yk5/g4MGDL3TUfhkQAkQWUXV1dfjxj3+Mx48fM3SB3wSsEaDPCVkC9FWMcX9RrGYCxOfzsbi4+ML+9qvAgwcPoKqqiqioKIUPKWC5ElFZWUk9X7q7u7GwsCCXWJ2bm4u2tja89dZbcjf9kydPoKGhgR07duDu3btgs9k4cuSIXFSJNCH5+c9/Dh0dHfz4xz+W2yYi0uVwOEhLS4NIJMKJEydQWVkJFouF4OBgRptGJBIhJycHY2NjVMND9Ds5OTkAQFsB1dXVeP78Od544w2FJJRoPyQSCXp7exEdHY3AwMAVj/Onn36Kzs5O7N+/H1u2bFH6uaGhIdy8eRO7du1CY2MjHB0dsXHjRqqnI/uioqKC3Nxc9Pb24o033qDTUp988gnCwsIY1QmS9aWjo4OTJ0/S49Le3g4jIyOqgQGW7+XExEQ4OTnJvaQ7Ojqgp6cHDQ0N+oK7du0a9a2RTf2+fv06pqamqLD8ypUrMDAwwMmTJ+XcrmdmZtDW1kYz6B4+fIjx8XGcPXuWtoiktVnZ2dnYtWsXVFVV0dDQgNzcXGzevJm+RKUzoBYXF1FVVQUPDw8YGRnRTDBSqZLGwMAArKys6L3Q1dWFjIwMSjClMTs7i9bWVri4uFDvGqIhCg4ORkhICD0m9+/fx65du+Sq4sSQcM+ePXB2dsbi4iLKy8thbGysUKydlpaGkZERREVFYWZmBo2NjQoz2QgBys7ORllZGSIiIlas+JDzm5+fj6WlJTg6Oio1qASWtXguLi50ek9NTQ0JCQn0Opybm8OVK1dw7NgxhicYyRubnp5GSEgI+Hw+LCwsVlwM1NfXY2xsTKGG60VQRIDef/99HD9+XKG/1WcFIUCZmZn41a9+Jffvv//971fUbK0mrBGgz4lvKgFSU1NblYn1XyUBehHa29sxOzsLf39/Olmjo6PDIEsSiQSffPIJXFxc5B4qEokE+fn50NHRgbOzMz788ENs2bIFQUFBSicA5+bm8KMf/Qi7du2io6qknSI9nTU3N4dPP/0UERER8PDwQH5+PtTU1GgLioyYi0QiXL58GaGhoXKr9+rqarBYLPj7+1OiYGFhoVAfIBAIsLi4SH1ihoeH6ctdGSoqKnDt2jUcPnxYaSWJIDk5GUtLSzhy5Aiqq6vh6+sLNTU1em8Rkjg1NYUbN25gx44dCAoKwr179xAZGanQdqK4uBgVFRVISEigL+nOzk4UFRVh+/btVJBK4gcGBgZw9uxZqKur02Pd3d2N2tpabN++HdbW1lBRUcHdu3cxNTWF1157Ta4dJ5FI6CSUmpoanj59ioGBAbz22mtyBIDL5aKkpARGRkYIDAxEcXExKisrER0djXXr1jHON7BMOu7evYt9+/ZBU1MTd+7cgaurK2JjYxnfy+fz0dHRgbGxMaxfvx6Ojo50sis+Pl5OkE/EvU5OToiKisLY2Bhu374NOzs7HDp0iPHZsbExKvgm1Z3i4mJUV1dj06ZNCA4OpjEQhPht2bKFIcZPT09Hf38/oqKi4OLiAolEgqqqKujp6TGE0wSpqakYHx9HdHQ09PX1YWZmptQeAlhupQ0ODmJxcRG7d+9eUbvG4/Hw4YcfYmpqCjt37lR6nfb09KC9vR3R0dHo6OhATk4ODA0N5apzQqEQs7Oz0NTUpO8ALpeL5ORk8Pl87N+/H4aGhigtLUVISIjS55xYLMb09DSMjIxWFHOvhMXFRaiqqjKO0/e//32cPXv2hYTwZbDmBL1KsUaAVgZJEV8jQIohkUho2vvExAQkEgn8/PzA5/MZ2zU+Po5PP/0Ur732GmxsbCCRSDA/P4+rV6/C3d2djji3trYiLy8P3/rWt6Cvry/3gCfagaWlJXA4HLzzzjuUvJAXK/APs02S9K6vrw8PDw9GS4fETojFYpSXl6OiogIXLlyAjo4OJBIJ7ty5A3t7e+zcuZN+X2trK9LT03HmzBm51t3i4iJu3boFc3NzhIaG4urVq9i6deuKL5W+vj5cvnwZampq+OlPf7risW5pacH9+/chFosRHByMwMBAOkAgW0aXFg2zWCxcvHgR27dvlxMFz8/P4/Lly/Dz86PPgs7OTtoelA67bW1tRUZGBiIjIxnOvh0dHdDV1YVIJKItpaqqKhQWFlKCIj0Jl56ejoGBAZw4cQKGhoaora1FUVERoqKi4OHhwajiiEQiVFdXQ1NTE35+fujr68ODBw/g7++v8MVUXV0Nd3d3aGhogMvlIjExEdra2tSdWDYFvKKiAiwWC6GhocjJyUFrayv27t0rlw8nEonolJyWlhadWjQwMMCpU6fkqlokysPf35+GyRYXF8PPz4960UgkEgwMDEAikcjlSz1+/Bg9PT3YvXs3bSX39vaipaUFW7duZVQcxWIxUlNTMTExgdjYWNja2uKTTz6Bv7+/wioi+fzk5CQCAgKwbt06WFhYrDht+/e//x1DQ0M4cODAitdzZ2cnysvL4ezsjJqaGoVJ7hwOBzdv3kR0dDRsbGzA5XIxNzeHBw8eQENDA6dOnYKOjg7a29sxNzeH4OBgpdvW0dGB0tJSnDhx4gvFFSkiQN/5znfw5ptvrliJfVmsEaBViq+SAJHKAHlYfF1TTJ8FawRIOTgcDlJTU7F//37GSll2u/Ly8tDY2IjXX38dIpEIHA4HqqqqqKqqou0xNTU1WiJX5ugLLK+IGxsb4e3tjd27dzMEywTkZXXx4kUq6vX394e1tbWcrQIJBrW3t0d0dDRthVVWVsLe3p7uA4vFwp07d6Curo4TJ07Q71FRUcH09DR1S3ZyckJOTg7a29vxzjvvKF2RtrS0oL6+Hu3t7YiPj5cr7ZNRdaFQCD6fj08++QQ6Ojpwc3PDxo0bqV5GtqrU2NiI7OxsHDhwAOXl5di3b5/SBUZqaioNb1VTU0NbWxvKy8uxdetWhnEeidGwsrJiTPC0tbWhsrISO3fupJqg2dlZXL16FR4eHoiOjmaYmZL4hOnpaRgbG9PRc1dXV0RFRTGsAgQCAUpKSiCRSLB582bqJ2NmZqZQizM3N4eUlBT4+voiJCQEN2/exNzcHF577TVKaEmVaHZ2FuXl5bCwsICnpyeqq6tp6zYwMJBBkIBld24+n4/4+HgqZFdRUaEVMOlzVl5eDrFYTKuLTU1NyM3NhYeHh9wUFQnyfOONN6gGJzMzE11dXdi5cyfVSc3Pz6O7uxsGBgaM80JarFNTU9i/fz+NMunt7YW9vb3ctSc9Lu/q6orBwUHs2rULNjY2CvVDZBy/srIS8fHxKxKB6elp6Orq4unTp+jr64Ovr69CHQ6Px0N2djaio6OhoaFBw36tra0pSRWJRCgqKoKjo+OKwaPT09Noa2t74TDBy4AM50ifz29961v49re/vaIn2ctijQCtUqwRoJWxRoAUgxAM2TBCYPm8Li4uQltbG59++imsrKywY8cOdHd3o6CggLrtkocuh8PB3/72N8TGxjJs/Ym3DjFH1NXVRUpKCk6fPk0nSqRfsETzUlZWhr/97W/43ve+x8gFkgWp5pw7dw6Li4t48OABfH19GW6x5IVy+/Ztms5NBMPDw8PIz8+Hi4sLwsLC6Mj45s2blT6UGxoaMDMzg6qqKlhZWdEQTtn9IOP1hYWFuHbtGi5cuKA0DRxYbid88sknsLKyQlxcHD799FPExsYyQlwJSNZYbGws3Nzc0NDQQMmhbMuHJJlL64fa2troPUu+XywW4/r16+Dz+Th//jx11xYKhXTq6+jRo7C0tASLxcL169chFotx5swZuu8ikQh8Ph+1tbXQ0NCg4/u3bt0Cm83GmTNnoKmpyZgY6+zshK2tLfT09KCiooKnT5+itbUVcXFxCu0FampqMDc3h7CwMPT29uLRo0dwc3PD7t275Zy8CflksVjQ09NDcnIyFhcXFfoKtbe3Y3h4GC4uLrCzs0NnZycyMzPh7Ows13YjaeYkU05XVxdZWVno7OzE9u3baXVNKBQiNzcXpqamCAgIYPgEkQmqQ4cOwcbGBrW1tWhpacGBAwfkWpx8Ph/Xr18Hj8fD0aNHaXaXn58fI4xV+vNJSUno7+/Hpk2bsGfPHqX3ECGEtbW1cHV1RUREhNL4ktbWVqqBy8zMRE9PD9zd3RESEkKP59DQEI20UKY1XFpaQkNDA4KDgxX+++eBIgL09ttv44c//KFCf6rPijUCtEqxRoBWBnFqfdWJ9a8CX3cFiIBMG5HpLKFQiOnpaSQlJVExraurKwYGBuRaC8Rg77333qOTMSR+QUtLC42NjfD19UVGRgbGx8dx5swZhmBZ2mGZxWIhLS0NXV1d+Ld/+7cVNTfJyclQVVXFwYMHoampiZ6eHjg6Osr9zJ07d8DlcnH27Fn6/1pbW2FtbU3bfCQQk7hFS1dnVFVVIRKJUFFRARUVFRgbGyMrKwuHDx+Gvb09I+JFOtOOTBfp6uri3XffXfH45+XlobS0FJqamnjzzTeVRsuQ3Cxra2scOnQINTU1qK+vR3R0tJz7dEdHB9LT0xEREUHFmY2NjXS0W/rzBQUFqKqqQlxcHCwsLOi1IBaLoa2tjcXFRRgbG4PFYiErKwutra04deoUw59FIBCgrKwMfD4fW7ZsAYvFQnZ2Npqbm7F//36qKSKVNy6Xi9u3b8PBwQG7d++mLaYtW7YgICAAEomEVnHIxJKBgQH8/PwwMTGBlJQU2NnZITY2Vm4K7MmTJ+jv76du4Xfu3MHo6CgOHz5MReDk3Pb19WF4eBihoaHQ0tKiQaWKNEF5eXloaGigLTbivTQ4OMggPoR0Dw8PY9OmTYyg0qSkJCwsLFAyCSxPuPX29spVaLhcLq5fvw6JRIKTJ0/i6dOn8PDwYBAUMobPYrFoYvrw8DBCQkKwffv2FXMauVwuPv30U4hEIjmDTGk0NTUhPz8f586dw+3bt8HhcLBjxw54enrSGBIdHR0UFRXByspKqXcTsNwGTE9PX7G6+nmgiAC9/vrr+OCDD5RaC3wWrBGgVYo1ArQypP1jVhuI940iC/4vE2R1LE14CBFRU1NDSUkJysvL4e/vj97eXiQkJChsw1y+fBkmJib0JSQWi5GVlYXe3l7s3bsX9vb2WFxcxN///nds3LiRtidkNS/Z2dmor6/HxMQEzp49y5hskgXJvLKzs8P09DRCQ0MVTmaNj4/j2rVriI2Npd9XX1+PqqoqhIWF0Yc0l8vFxx9/jJCQEGzZsoWSQZFIBC6Xi6amJnC5XHh6euLhw4fQ19fHwYMHaRVDeqpNVVUVXV1duHjxItTV1fGTn/xkxRfQzMwMLl++jKCgIAwMDOD48eNKdRBZWVlob2/H6dOn0dbWBhcXF+jo6MhVNglJMjU1xfHjxyGRSFBTUwNbW1uoqalRAiCRSNDX14c7d+7A19cXmzZtoqTgwYMHmJycZORoNTc3Izs7G+Hh4YzjLRAIUFlZCU1NTSrmbmpqQk5ODrZs2UKntcj10draCgsLC+rnNDAwgMePH9PpK+kxfHLOxsbGEBwcDC0tLVy9ehW6uro4ffo0Hbknuh6JRAIej4fJyUnY29tTE8N9+/YxROBisRiDg4Po6uqCnp4evLy8MDIyggcPHtBsLHJtSseTkKooAGRnZ6O9vR1BQUHYtGkT3ebq6mqw2Wz4+/vT5yIZxefxeDQFfWlpCffu3cPu3bvlTA9nZ2eRnJxMzQhVVVWRmZkJHx8fOXdlNptN9TeqqqpwcnKCi4uL0uwwYLna9Ytf/AIbN27EO++8o3RCllSX+vr6kJ2dDRUVFRw9epThuUTCgkdGRhAaGqq00k4WPaOjo0qjQL4IFBGgc+fO4f/8n/+jNGz2s2CNAK1SfJUEiLwwyUNhtVQwVsIaAfpHcrki/x3y0CCr7V/96lfQ09PDqVOnYGhoyCitk9bC+Pg4Ll26hMOHD8PJyQlsNhtTU1Ows7MDl8ulfj91dXUoKirCW2+9BX19fYbmhQgnra2t8ejRI/T3979w0ur+/ftobGzEv//7v0MsFitdQT58+BCjo6N4/fXXsbCwgMrKSvpwlv5+UvV56623GMRjaGgIzc3NtOJQW1uL3NxcHD16FFZWVoz4DGD55djS0gJzc3NcvXoVu3btQnh4+Iqi1D/84Q+oqqrCRx99tOK1OTQ0hNu3byM8PBwCgQDd3d00gFMWGRkZ6OzsxPnz56Gjo4PKykp0dXVh37590NPTo2SXx+MhKSkJWlpaiI+Pp5NgS0tLMDQ0BJ/Pp8eDCN0dHBwYAac8Hg8VFRUQCoUIDw+HmpoarRo6OTnhwIEDjG0jwll7e3tERUWBzWbj8uXLMDMzw7Fjxxg+Rjwej0ZMkMBX0p47c+YMtLS0GNYHBQUF6O3txaFDh2Bubo7nz5+jpaVFzsQQWA5jbW1txYYNG2BqakoT2olPEPAPstbe3o6cnBxs3LgRGzduBIvFwvPnz9HR0YGwsDD4+fnRGIi5uTnU19fD1dWVthVJK4rP5+PkyZP0Pp+amkJ2djb279/PIMgjIyNIS0uDrq4uEhISMDIygvHxcaUtHCJqt7CwgJOTE4yMjLBhwwal111jYyMKCgrQ09ODX/7ylysafpLtXlpaojlssvebUChEUVERzMzMViQZZWVlGB0dRUxMzBcSOq8ELpdLo1wITp8+jV/96lfw8PD4wt+/RoBWKdYI0Mr4VyNA5MUsXd2R9d8hhEcWt27dwuLiIuLj48HhcKjbs7SuoqioCE1NTXjzzTfB4/Hw6NEjcLlcHDlyhFHdSUlJgYGBgcIcnpSUFBqCevXqVfj4+Kxozshms/HjH/8YJiYm+PGPf6y04jg7O0vH5QMDA1FdXY22tjYcOXKE8eCVrfqQ49bV1YWRkRHo6OjQkeXExETY2Njg0KFDcnlgAoEA5eXlaGlpgaamJqanp3H27Fl6bInpIqmssFgstLe34/HjxzA0NFToEEwgFotx5coVcDgc+Pj4wM/PD0ZGRgpfbp2dnXj48CF27NiBDRs2oLKyEi4uLtDV1ZXL6Xv27Bm6urpw7tw5upK/ceMG5ufncebMGUaw8fXr17G4uMhwh56fn0ddXR0MDQ3h7e0NFosFoVCIq1evgsViyXnV1NbWwtnZmZ4zsl8ikYgxWk9AKj4bN26Erq4uUlNTMTw8jMOHD8vpm8i1PjIyAhcXF5SVlaGyshIhISGUNEgL3VtaWqChoYHNmzfTKgupJim6H4aGhmBjY0PNQdva2rBp0yZ4e3tTc9Cenh6MjY3Bzs4OLi4uYLFYWFpaQlJSEkQiEeLj42n1tLS0lGbtSaO7uxuZmZkwNjbGiRMnoKKigmfPntEqnCzKyspQXV0NBwcHmJubY3JyErt27VIa+Pz8+XM8evQInp6euHDhgsLPSOPq1auYmJiAt7e30tyw9vZ2jI2NISQkBEKhUGmlk0yCrWR++CqgiACdOnUKf/jDH1YMcH5ZrBGgVYo1ArQy/tkJkCL9jkQiYXjvvIxLqbT/Dpn4kX55A8smf46OjlhcXISXlxdsbW0psSIve9J6OnLkCKMMn5OTA29vb6o9aWhoQFZWFt58802lhKa4uBidnZ1YWFjA22+/vaJmICsrC11dXXB2doaqqirCw8MVvhDIqPSbb74JFotFp5UWFxfh7u5OW0XV1dUoKSnBuXPn5F68pIoQFBSE0dFR6s/j4+NDz4m0zkkoFCItLQ2PHj1CbGwsddyVPr7SxKawsJCSGBaLhT179ig8f9LtrsjISNTW1mJ4eBh79+6l3kjk3HR2diIrKwvbtm1DYGAgRkdHwWKxYGFhQV/m0seoqakJx48fp9WMyclJNDY2QlNTE6GhofTzRCB9+vRpxnXM4XCQkpICd3d3Ok109+5dDA8Py0VXLC0toaioiHoEAcsi25aWFkRHR8Pe3p7hkVRYWIi2tjYcOHAApqamNH3cx8eH5tsR4jMxMYG2tja4urrC3NwcbDYbN27cgJaWFs6cOcPIWOvv78eDBw8QEBBAtzk7OxsdHR3YsmULw+hucXERpaWl0NXVha+vL7WFuHXrFlRUVHDq1Cno6emBxWKBzWYjMzMTnp6ejO9obGxEfn4+rK2tERcXB6FQiNraWhrnIkt2ybb4+PjA0dERExMTMDMzo1lk0iAZXRMTExCJRPD396fhuoowNjaG//f//h/s7e2xa9cupaZ+U1NTaGtrg5OTE2xsbGjFTpYA1dfXw9TUVGH8yZcBLpcLDQ0NxjPi2LFj+PDDD18YyvoyWCNAqxRrBGhlcDgcAFhRi/F14fMQIEJQpP9I63fU1dXlXqjKvkfWcFB6JJ20ysi01K1bt7B37140NDRgy5YtcHBwoC9X8ruys7PR09NDwzyBf5TTfX19qRgxMTERurq6jJFsWdy7dw9FRUXYt2/fC6tDH3/8MTZv3gxVVVXo6OgwPG4I5ufn8cknnyAwMBDBwcFgs9no6uqCUCiEn58fDA0NwWKxwOfz8fHHH8PNzU3OQn9hYQG1tbWYmJhAXFwckpKSAABnzpxRuG2klfTs2TPk5+fju9/9LvT19RntHnLsWSwW5ubm8Itf/ALe3t44c+YMjI2NlZ7H9PR0dHR0YPv27ZiYmICvry90dXWhrq7OEJVzuVxcunQJtra2tBqXmJgINTU1nDhxgvHibG1txZMnTxjancHBQfT29sLKyoqxki4uLkZVVRWio6MZxn/Z2dkIDQ1laMby8vJQV1eHPXv2MD5LQmgnJyepxqeoqAgVFRUIDQ2Fv78/g8STa3VwcBDr1q1DR0cHHj9+TM+V9DEdHx9Ha2srWCwWNm/eDB6Ph5s3b0JVVZVBfMh2AMu5ZA4ODlBVVcXTp0/R3t6OsLAwBhkYGRlBR0cHzM3N4e7uDi6XC4FAQANEpVuKTU1N0NbWhp2dHSU0LBYLlZWVqK2thYuLC53QqqmpQXFxsZyJpHTYaFhYGGxtbVFZWYl169bB1dWVYcQILJPJ69evg81mw93dHdHR0QqvH4K5uTl89NFH6O3txX/8x38onDoElttdpaWlMDAwYDhXC4VCLC0t0efr7OwssrKy4OrqioCAgBV/96uEIgJ0+PBhXL58ecWw4pfFGgFapfg6CdDXJeL9LOByuZBIJN9YAiTbzlpJv7MSyItWmeEgmbYhf8iK++LFi2hsbMQvf/lLmJubM17eIpGIfvfly5cREBCAsLAw9PX1IScnh+qICIaGhnD9+nUcO3ZMbppsbGwMd+/eRXR0NGZmZpCfn48333xzxaDdBw8e4MaNG3jzzTcRERHBeJlLj6RnZWWho6MD58+fx9zcHFpbW2Fqakp1HQR5eXmora3Fm2++SSuGYrEYGRkZMDIywpYtW6CiooK6ujo8ffoUx44dUyjo5HK5uHz5Mt2G4OBgxmi+NMg5SUxMRHNzM1577TU4OTnRYytdISJGk5mZmfDy8oKGhgZUVFQQERGh0FOIeMxcuHABJSUl8PX1lQsNBUD1OHZ2dpQktbW1YWRkBBYWFgwdTVdXFx4/fgw/Pz+GkSGbzUZKSgrCwsKo8V9DQwPy8vLkcrXGxsZQWVkJCwsLeHt7QygUorm5Gfn5+fDz85Pbn4cPH9IxfHNzcwwNDVGTS1kSPTIygs7OTri6usLS0hJcLhfXrl2j7ShCTsh2pKenw9vbm9otZGdno6urC6GhofD19WXovcrKyqCjo4PAwEBa7bx+/TqMjY1x+vRp+vLlcrlIT0+HmZkZdUyXSCR4+vQpmpub4eXlhS1btkAsFqOtrQ1ubm4QCASUyLBYLNqC5HK52Lt3L4yNjdHS0gITExMq4JdIJJQATU1NITU1lQqhe3p6cPbsWaUC57a2Nuqf9c4776yozWlpacHU1BRCQ0MV6oCWlpaoWNrKyuprsRxRRIAOHDiAGzduKCV1nwVrBGiVYo0ArYzVTICEQiEWFhZoi0U6/FKRfoes7l8mdE9auyMdMSBrOCibkC49oaWiooLy8nKlzrESiQRNTU14/PgxFd7yeDzk5+cjIiKC0RrLzMzE5OQkzp07J+e6S/xftm/fjsuXL8PGxmbFfKK2tjZKSs6ePQsVFRVKyqTbgBwOB0lJSQgNDYWhoSEkEgn09fXlTAvZbDYuXryIwMBA+lIXCoWYn59HY2Mj1q1bR0feP/74Y9jZ2cmJfIFlvQuJ2rhz5w7m5ubw+uuvKz1fXC4Xv/71rzEzM4Nvf/vbjPFh6X0ho8ZEm7F7925s2bKFXguELJDfU1pairKyMuzbtw/Ozs64cuUKfH195cS0ZCybx+Ph/PnzUFVVRU1NDfh8Ptzd3RlkaX5+HteuXYOVlRU1uuRyuUhLS8OhQ4cY9xchKG5ubjSJWyKRYGFhAe3t7eDxePDy8oKamhpGR0eRnp4OFxcXRiwJOX+ampqYm5uDmZkZFSybmprKVa8GBwfR3d0NLS0tmj1FiM+ZM2cYLXBCLnt7e2FtbU0zxzo7O2nliSwqhoeH0d3dDRMTEyr0HRoawoMHD2BgYIDDhw9T4tLV1QU1NTU5ck+cs0NDQ2lVpLm5mYbQkhYfMXlMSUkBABw9ehRaWlqoqKiAjo4OrXKSe5jEalRUVMDQ0BAhISFUu6ZsQZSbm4vKykpMTU3h9ddff+HIel9fH7y8vGi8iiyEQiEKCwvR29uLkydPfm2Zi4oI0N69e5Gamsqwa/i8WCNAqxRrBGhlrGYCJBAIsLCwQKemZPU7hPC8THWH/C1NeKR/TlqXIhQKAYBBdl6mbSaLmzdvAvhHmzE+Ph7a2tqM37WwsIBPPvkEW7ZsgZ+fH32xpKWlYXZ2lk5WtbW1IT09HWfPnmXEN0jvY3FxMe7duwdDQ0P84Ac/gJqaGsN0UHpfcnJy0NHRAT8/P/B4PGzatEnhdZqRkYHu7m68+eab0NDQQG9vL4qKiuDu7s4wasvLy0NNTQ0uXLggp1manJzE7du3qSt2VlYW9u/fr1R8OTw8DBUVFfzud7/Dzp07ERMTI0fgSAVOTU0NDx48QGdnJzZt2oSAgAAYGRkxKnWEwI6PjyMtLQ2urq4YGxvDqVOnYGBgoPC8Eo+ekydPwtzcHOXl5eDxePDz82NonoibsFAoxLlz5xhi6Pv37+PYsWP0pcdms3H16lUq5iV2C3V1dRgcHISDgwMlPsSzRpbMiEQi3Lp1C/Pz8zh9+jR0dXWxsLCAxMRE6OnpyQmWm5qaMD09DV9fXxgaGjJGzhMSEhjnqqmpCc+fP4e3tzdtq5LzHx4eDh8fH3o8FxcXacWHiL37+/uRlZUFIyMjxMXFUfLJ5/Px5MkT6OrqIioqii42UlNTMT09zXCFbm1thZubG3g8HoOUDQ4O4v79+9DR0UFCQgKAZY8tHR0dOsUkXbUtKipCe3s77OzsYG9vj5KSEoURIOTnbt68SR2eV1pcAMsOzY2NjbCxsVlRQMzhcMDn8zE9Pb1iyOlXAUKWpQlQdHQ0Hj16JKfh+zxYI0CrFGsEaGWsJgKkSL8DgBKdL6rfkfZQIf8m7bAs67/zWQkPwfT0NP7nf/4H58+fh7OzM1gslkLX18LCQlRXV9MSe2dnJ4yNjaGrqwsOhwMNDQ0aB6CpqYmjR48yJqdYLBZ6e3sxOTkJDw8PfPjhh9iwYQPCwsIYhEeawM3OzuJXv/oV1q9fj82bN8PDw0NhTMDExAQSExOxfft2BAYGoru7G3p6elhYWGA89GdnZ3H58mW5Ntb4+Dhyc3PplA5xciYmhbIg1bLy8nIsLi5CRUWFTkzJEh6yP1lZWUhJScHevXtXjBcRCoW4fPky1NXVcfToUdy6dQsHDhxgCHzJy7qtrQ3Pnz/H1q1bYW1tja6uLtrWka1UPXjwAP39/Th16hRMTU2p8eKJEycYK33SAuXz+UhISKD7NDQ0hPn5eZibm9PrhMfj4cqVK9DS0mK0jWZmZiASiWBkZASJRAJ1dXXweDxcvXoVqqqqjER3iUSC7u5uDA8Pw9LSEm5ubrSaxeFwcOrUKcYzaWlpCZqampifn6eEiHgEbd++nYrXgWUDyeHhYVhYWMDd3Z22554+fQoLCwscPHiQtsUaGhpgYGCAdevW0WMsFAqRnJwMLpeLffv20Ymv9vZ25ObmIjo6msa7sFgsNDQ0oKCgAGZmZjh69CjEYjFKS0uxtLSE7du3M17oIpEId+7cwdTUFIKDg2FhYQEzMzOqNSPfSf7Mz8/jzp07WFxchJ6eHmxtbWlFThEWFxdRWVkJY2NjhTo6gsnJSdy9exfbtm2Di4sL+Hz+1z5koogA7dq1C0+fPn0lWZVrBGiV4qskQMRLhjwoZVs4qxFcLhdisXhFLcmXBdl2lrR+h7ycOByOQl2GNF6G8JBqgPTLVLoi8kUIjzSmp6fx7W9/G2+99ZbSa08sFuPDDz+kEQVkLFg2fb2/vx+3bt1CXFwcbQOQygaHw0FpaSkEAgGMjIxQXV1Nqy+KKlZi8XImWGdnJ958880VS/upqamYnZ3FyZMnUVxcjJmZGURFRckR+bS0NExMTDDGwAFgYGAAhYWFtHKRk5OD5uZmXLhwQe464/F4qKmpgZeXF2pqalBeXo5du3Zh/fr1coSHxVoOd62vr8f9+/dhZWWFt956a8Xz8ejRIzx58gTOzs549913GZNv5DoRiUTUo8fOzo4aXBoZGcHHx0duGq20tBSVlZXYtWsX1f9MT0+jqamJEQRKqjXEZdnExAQqKiooKCgAi8VCSEgIvbbFYjGuXr0KPp+Ps2fPUp0Il8tFamoq1NTUcPLkSSrAv3r1KgQCAc6ePUtfriKRCM+fP4e6ujo2btwIbW1tSnzYbDaOHz/OaNWUlZWhqqoKAQEBNNrk4cOH6Ovrw44dOxgv+dnZWdTX18PExATOzs4QiUSor69HWVkZ9TUix4fYP5iamiIsLIw6n9+4cQMCgQBHjx6FkZERVFVV0dLSAk9PT/B4PHptSCQS5Ofno7GxES4uLoiMjIRQKER1dTU1ZpReUPB4PJqwvnfvXszPz+P58+fYsmULNcQkx1gsFlM9lUQiwbZt2+Ds7EwXV9IESTq3rby8HGpqanK6OGmQil5NTQ2Cg4Mp4VstBEhLS4ux2NmxYwcKCgpeybatEaBVijUCtDIWFxchEom+dAL0efQ7yo6ftGB5Jf0OITxkikj2Zfp1oLGxEZmZmThw4ACKiooQHx+vcBw9NTUVbDYbr732Gt3XsbExPH78GF5eXvDy8oJEIsGlS5fg5uaGHTt2yAmDVVVVMT8/j7y8POTn5+PkyZMrBj729PTg3r178PHxgYWFBWxsbGBiYiJ3rLq6uvDgwQNER0djw4YNdFWvr6/PqO6MjIwgOTkZW7dulQtcnJ6eRk1NDfr7+xETE4PExEQ4ODjgwIED9DxJn08ej4fCwkJkZmbC1tYW77333orC1Lq6OuTm5iIsLAwaGhqMyRxpSPvuuLu7g8ViwcnJCdbW1gzCKRaL0dXVhezsbPj6+mLz5s1ITk6mZolkCotc22QkOyYmBq6urlhcXMTQ0BD4fD42bNhAzzmp8E1OTjLG30tLS+Hm5sYg/0T4u7CwgNOnT9NqDZfLRW9vL2ZnZ+Hn5wddXV2IxcvBoLOzszh+/Dhtm4rFy/lz7u7udCEALJtoDgwMYPfu3bSlJJFIUFpaCg6HAysrKzpOXlNTg5qaGnh6ejImAZ89e4Z169Yx2kyTk5N0AoyYNEokElRXV6OoqAhRUVGws7Oj9/Hjx48xOjqKoKAghISEgMfjoaqqCgKBgI7wS19f6enp0NTUxMmTJzE3NwdbW1ta8SE6KV1dXaioqNC2L6k6keww6cUT+QMsP0NqamqgpqaGoKAgaGhoKFwokbail5eXnB5wNROg8PBwlJeXvxLzxTUCtEqxRoBWxpdFgMhqSPoP0e8QsvMi/Q4R2hoZGa2o3wGYU03KBMtfN5KSkqCtrY2oqChkZGRQvxtpTE5O4sqVK4iMjKQthtnZWYjFYqpz0dLSQllZGcrKyhiTYNIP8qamJiwtLeH58+fQ1tbG2bNnGaJr6aoXGcWfmZnB+vXrYWFhodCYjZAFHR0dnDx5EkKhEGpqaujo6ICpqSmjmpGYmAhgeQSeTO3w+XxkZGTAwMCAhsVmZGRgZGQEb731lsLpmMHBQUxNTWFgYADt7e04ePDginqKwcFB/PCHP4S1tTV+97vfrUh0Hz58SP2KNDU14e/vr7AVPDs7i6SkJFhZWSEiIgJ6enqYnJyEmpqanKi1traWJq9v2rQJQ0NDqKurg7m5OUJCQhjXYXp6Onp6enDo0CE6LbewsIDU1FT4+PhQUbZYLEZKSgqmpqYY8Rvj4+MoLy+HtbU1AgIC6HEmnz127Bgjv6qgoACNjY04fPgw/f/EeygqKgqurq7UM6u9vR0jIyNwc3ODtbU11NTUUFxcjMbGRvj4+DAm3LhcLh4/fgxPT08qhCaZYYaGhtQlWSgUoqSkBFu3boVY/A+ncqFQSIldZGQknJycMDc3Rw0lXV1dGdEbdXV1KC8vh6mpKQ4fPoy2tjbk5uZi8+bN1EqCnHc2m42HDx+Cw+HA29sblpaWWLdu3YqtdKFQiPLycggEAgQHB0NVVZVBjKRbacCy5QHRnin6rtVKgDZv3oz6+vpXshhcI0CrFF83AZqfn39hC+frxKsiQCv570h7r3wW/Q7Jm5ItTUu3LqQFy9Iv+NVAeAhaW1vxH//xH9i6dSu++93vKiRvIpEI6enp1DRPKBQiLy8PHA4Hu3btgq2tLW1/fPzxx3B1dUVkZCTje7hcLmpqasDlcmFtbY3MzEzs2bMHXl5ecuP55DhnZGQgMzMTp0+fxvbt2xkj5dIoKytDcXExEhISMDAwgPLycri6umL37t2Mz1VUVKCwsJCGWZJoiZmZGbS3t8PNzQ0ODg5ob29HVlYWIiMjFeopWlpa0NPTA01NTTQ2NmLDhg1y+yuN8vJytLW1YXFxEefOnVtxVVtVVYUHDx7A3t4eQUFBNE5CFqTVBAA7d+7E48ePYWtri8jISEq0yTXX09ODjIwMuLu7Izw8HHV1ddDW1oaBgQE1xCTXcV5eHpqammgLbXJyEo8ePUJcXJycgDw1NRUjIyOIi4ujpnltbW1Ut0bEw9LE58iRI3S0ub+/nzpHS4MEoEZFRcHR0RFCoRAcDgclJSXQ1dVFUFAQ9X4iNgkbN26kFY7FxUXcuXMH27Ztg6OjI/3ehoYG5Ofnw9LSEkeOHGFkgJWVlSE+Pp5aP7DZbCQlJUEikeD48eMwNTXF9PQ06uvroaqqSo0Jyb1OBNmurq4ICwtDe3s7PDw8IBKJoKmpydD3jY2NIS0tDSwWC3v37kVNTQ14PB6OHz9Oib/si18kEqGyshJisZhWfKRBnjtCoRC3b9+GlZUVQkNDGRVo6ecUi8Wiz6jVSIA2bdqE5ubmV/L9awRoleLrJEAikQhzc3P/dARI2hFZVr8jXd35LP47ygwHpV/YZAVG/k22rbWaSI80Ghsb4ebmRh+oshNNpMKwbds2GBoaQldXF4aGhlTPQ1BWVoaSkhK88cYbjPPV1NSEmZkZWFhYwMXFhZHwrmh1J5FIMDo6ir///e8wMTHBu+++yzjOwD9iKogol0zTkAe+7LGen5/HxYsX4erqih07dtAqVFdXF7y8vBAQEED1IRcvXmQYDxL09/ejubkZTk5OcHV1xfXr1yEQCHD+/Hmlq9Th4WH85je/gYaGBr7//e/Lpb5LY2hoCL///e+xfv167Nu3b8XQydTUVPT19cHOzg779u2DQCCgx0X6mpuamsKNGzdga2uLw4cPo6SkBBMTEwgLC4OxsTGDeJIoiqCgIGzcuJG2KPPz83Ho0CGoq6vT40q0ODExMVi/fj19ORNTRFLBIS20iYkJHD58mOEs/OzZM0qIyMs4JSUFExMTiIqKoq2g+fl5jI2NQSAQYOPGjfSae/DgAQYGBmiuFwGbzUZOTg4iIyNpxayoqIiaFxJzwe7ubnR3d2PXrl2M62VoaAhpaWnQ1tbG6dOnoampif7+fgwODsLa2prRQhOJRLhx4wbYbDbCw8Ph7e2Nuro6FBQUIDIyEuvWraP3klgsRl1dHSorK2FgYIDQ0FCIxWK4urrKWUtI/zfR7YhEIqqdUgTyc4WFhXB2dqbHmjyzZNto0s8r2UXcq9IcvixIcOsaAXox1gjQ58Q3lQAJhcIVJwFW0u/IEp4XYSXDwZcVLMtGKSjSvsh6v3ydkCaL0iaKampqyMvLQ2dnJ2JiYlBdXY1169YxxsuB5evqo48+YrxceDweurq6MDs7Czs7Ozg6OlINz969exmOwgQzMzN4+vQp+vr6IBQK8c4778i5lEsf2/T0dPT19cHFxQVjY2M4fPgwNDU1Kdkk5/H+/fsYHx/HuXPnACyLoI2NjaGmpsYgJGRq6sKFC4wV8dzcHLq7u2nLoaCgALW1tYyoCWnU1taiu7sb3t7eyMzMxObNm1fMUpqYmMCvf/1rqKur44MPPlA68SgWi/Hs2TP6Iu/r68OxY8dgYmIiR7J5PB4uX74MHR0deHl5gcvlwt7eHo6OjnLXXGNjI54/f06jKMjk0YEDB+ikn1gshoqKCnJzc9Hd3Y3du3fD09MTbDYbzc3NMDIywvr16xVqhw4ePEhF8snJyfD19aWTW6T1mJycjOnpaezduxf29vZQVVVFX18fenp6YG9vT1tXxKNpYmICkZGR9DqqrKxEQ0MDIiMjGc7BmZmZ6O7uZgipgWWyPjQ0hLi4OHrMSPivqakpjh07BhaLhZaWFoyPj8Pc3JxhKCnt93PkyBHo6uqioqIC27Ztk1t8SSQSPHnyBKOjo/D09ERwcDCePn0KVVVVREdHM4i9NAFZXFxEbW0t1NTUEBAQQIXV0gsw4qF148YNrF+/HmFhYS9NXCQSCZ0Mlnbqlt0WFRUVRkv6yyBGawTo5bFGgD4nRCIR+Hz+N4oA8Xg8CAQCBgF6FfodAtkV0csIlgmBeVnBsnRLTNa8kDxcZEM3v6zVl6yfkKJ9UlNTw9LSEv7t3/4NNjY2OHv2rFI3VtJ6ev3112FgYIDOzk709PTA2NgYAQEB9IGWlJQEVVVVnDp1ivHzZFVsZWWF2dlZPHnyhLoJK0NTUxP+67/+C0eOHMGxY8cA/IPcE1IKLI8uP336FJGRkdDT00NLSwtYLBZiYmIYUzrNzc3IysrCrl276IuZy+XiyZMnNDrA3NwcAwMDuHv3LjZu3KhUrN3e3o729nbqqnvkyBGl+1FdXY1Hjx5BJBLh/ffflyM+0i/ShoYGfPjhh/D09MR3vvMdpVVF4vuzuLiImJgYDA4OysVgEPT09CA9PR3Ozs7YsWMHtLW1MTExAQAMbQ6wXK1pamrC5s2b4eXlha6uLvT29kJTUxMhISGMimpaWholPg4ODvQ7MjIyEBAQAFNTU6o9SU5OBofDwdGjR2kbtaamBlpaWjAxMaFVIGmB9f79+2Fvbw+JRILFxUXw+XyMjIww2m137tzB+Pg4HZMXi5cjKczMzOSeuU+fPkVrayvc3d2xe/duCIVCVFVVQSwW04gS6fObk5MDHR0dagNQWVmJyspKHDt2jBJGEmJ769YtCIVCREVFYWRkBDY2Ngo1YtIVmpmZGdpmI6aO5FyT+4kQHxUVFZSUlMDDw4NqfGSJykrPJ3LPSFeVXlQxkq0UvQpixGazGZEgwBoBUoY1AvQ5IUuAxOJl59KVMou+bvB4PPD5fGhpacnpd6TJzsvqd8jfn0ew/KpbWbKkiBATAAxC9EV0Q9LtQGWmg4rI4p///Ge6ylcEovVxcXFBWFgYamtroaenB3NzcwZZam5uRkZGBo4dO8Z4GQLL5Kmrqwu7d+9GZWUlent78cYbbyjVxwgEAly/fh3d3d34//6//4+O8cruk0gkwtWrV2FkZARjY2M4OTlRnYs08RQIBEhMTKTtIeIGrK2tjampKUZa+qVLl6Cvry9H4Lq7u+kYe3R0NJKTkzE3N4cLFy4o3A8Oh4OOjg4UFRVhbm4Op06doi0VWWIqFosxOTmJtLQ0qKqq4sCBAysKrFNTU9HR0QFra2u4uLggICBAobZjbGwMt27dgpWVFTZv3oyHDx/C1tYW+/fvl7sOCgsLUVtbi82bN8Pb2xtVVVXQ0NCAq6srDA0N6X0kEomQmppKdTv29vYoLy9Hc3MzIiIiaJuMXI+3b98Gj8fDqVOnaMgp0cFs3bqVbjefz6du18eOHYO5uTn4fD7u3r0LgUCAAwcO0CqhtFh5//79cHR0pNXMgoIC2Nvb02BNsViM1NRUTExMIDQ0FIGBgRAIBKiurgaXy0VgYCCj+piXl4fGxkY4ODhg3759KC8vx/z8PDZv3iwXbzMwMICMjAxoaGggISEBfD4fubm5cHV1XdGfZ2BgAP39/dDV1aX5ZdILFvL3wsICkpOTsWHDBmzZskXhooks5KTbaYqIkSICpAxfJjFaI0AvjzUC9DnxTSBAsvodPp9Px8RflX7nRYaDsgnpX+WxUfTAIy8OaUM86W1T5Bgt3dKSFsO+ChJXUlKC0tJS7Nixg/o0bd26lfHwEouXzfWMjIxoFUQikeDOnTuwtLSEj48PjI2N6Sj6jh07aJK4LFJSUlBdXQ11dXVcuHABZmZmSklcZmYmmpubER4ejsnJSURERMhNQkkkEty7dw/9/f04c+YMVFVVUVZWhsHBQYSFhcHOzo4e5ydPnqCnpwfnzp2jVUixWIyenh6sX78e09PTMDExoTlkhw8fVqjdaW9vx9DQEGZmZjAwMICNGzdi8+bNcm1b8iItKyujBPPnP//5iqv47OxsPH/+HNHR0dQET9H5nZ+fR2JiInR0dGBjY4Po6Gj6O2VRVlaGiooKBAYGIiAgAPX19VhcXERwcLCcHu/27dsYGxvD/v37YWVlRV9mvb29tIIDLJOZlJQUCAQC6vnT2NgIDodDKyNku7lcLpKSkiAWixEfHw8DAwMMDg7SNomenh7VArHZbFy/fh1isRgnT56EsbExent7kZGRQcfVpbeBECpSSWptbcXo6CgMDQ0ZAaCkjTc9PU3F6GRSbGlpicbFkOdRXl4empubYWlpiR07diAjIwNbtmxR6O4se22MjY1R4qoM09PTMDY2RkVFBZ2qkw3mJVUhZVoeaWJEFmAAGCLtz9qWfxXESBEBCgkJQUtLy2faFmVYI0CrFP/qBEhWvyMQCOjLjQQfikSil0qs/yz6HUIsXqXD8pcJRaRI+gFDNC/k/30ZU2cCgQC//e1voa6uTqMxFOlVqqurkZeXh4SEBFhYWGB0dBS6urpoaGjAhg0baKk+OTkZS0tLcmJoiUSCzMxMGlp56dIlOlWmrGrV2dmJ//7v/0ZgYCBjykgWjY2NyMnJwe7duzE9PQ1VVVW4ubnB2NiYvlBEIhEaGhqQm5uL8PBweHl5UUJUUlKClpYWHDx4EHZ2dujq6sKjR48QHBws1xbjcrmora2FtrY29PT06JTW3r17FbpHLywsYGhoCLW1tZiamsI777yzYjZTbm4uHjx4ADs7O5w7dw6mpqYKP0eE4hoaGggODkZFRQVOnDihcLCgqqoKxcXF8PHxoefEyspKoWbr9u3bGB0dRWxsLOzs7JCYmAg2m42jR49SXZKamhoj1+vkyZPQ1NREZ2cnxsfHYWtrCxsbG/rSnpubw927d6GpqYkzZ85AW1sbw8PDyMnJgb29PaM1OjY2htTUVGhqaiIhIQFaWlro7++Hvb092traqF8Q8I+4E9KG1dPTQ09PD4aHh2FnZ0crQ+S8JSYmgs/nIyYmBvr6+rh16xa8vLywdetWxnOCTLfNzMwgJCQEQUFBmJqaokaUihzWgeX7uaqqCjweD+7u7grjYwhaW1vx7NkzREREKK3IEsjqD8l/yy78pIc5SCAz+f/kWfJZWmnKtuVliBGpxpIpMPL71giQYqwRoM+J1UCAZPU7AoGAkhDpP2R7lpaWsLS0JDd+S7Z/JcNB6SktWXGvNOH5JkGaMAoEAjmSJ/1wkdUWfZE+PZ/Px09+8hMcP34cISEhCo8biZNwcHBAdHQ0qqur0dzcjK1btzKcnRsbG5GVlYW4uDisW7eO8dAWCAS4cuUKQkJC0Nvbi+HhYbz55pvQ1tZWuO2tra148uQJlpaW8MMf/lBhbAawLKb/9NNPYW5ujoiICLS3t8PGxgbOzs6Mz83Pz+PKlSvUPZhMJnl4eMDT05NeRxwOB8nJybCwsKARIOSB3t3djZGREbBYLPj7+yMxMREikQgnTpyAhoYGo6VKjuPjx4/x9OlT2NraIiEhQU6DI42UlBSUlpZi27ZtOHTo0Ip+MZcuXUJpaSmOHDmyYoYUmVyys7ODm5sbZmZm4OPjI3ffkfbV6OgoIiMjUVNTg+3bt1NRuTQ5IGPkLBYLp0+fxtzcHI2fCAwMZERj9PX14d69e9DT08OxY8cwOTmJ4uJi7Nq1C4aGhozruKurCzk5OTSzTCQSITc3F729vZR8SV8fz549g76+PuLj47G0tISCggLo6urC29ubknGJRIKuri6kp6dDQ0MDR44cgaamJg0zDQwMZJD96elpKoI+fPgw6uvrMTExge3btzMm3WTB4XBQX18PsViMwMDAFSe6WltbaS7cSt+pDNLVYIFAwBjGIP8urUOUHr2XJkrk7y+LGEkPiiwuLiIuLg6urq7Iz8/HxYsX4eXlReNKPi/WCNAqxddJgCQSCWZmZmBkZPSlEQHpdgy5CT+LfocQILJafRn9jqzW5bMIllcbCGEk+/SiqpWs4Fq6ciQ9zSFrNvhFUVRUhPLycmzcuBEqKioICAiAmpoaQwcjFi/HXZiZmeHgwYP0eiTJ6+fPn4eGhgYGBwfx8OFD7Nq1S6FDskQiQUlJCR4/fgx1dXW89957StOugWVtTF1dHdavXw9fX18a6ir7ncnJyWCz2YzojMePHyMoKIgSEvK5ubk5at4oEokwPz+P8vJyaGpqwtPTE0ZGRnj48CGGh4dx6tQpWFhYMAjP9PQ07ty5g6ioKAwNDaGyshK7d++m006y4HA4aGhowM2bN+Hj44PXX39d6f6KxcuxFRwOBz4+PvDx8VE66NDc3IycnBxoaGjAwcEB9vb2ci00MqlFWl179uyBo6MjEhMTER0dDWdnZ8bn5+bmcP36dWhoaCA+Ph6tra3Q0NCApqamXMQJ8VsyMzOjHjh9fX2oqanBvn37AIBeyxUVFaiqqoKNjQ327t2LhoYGGjZKWuRkOwoKCtDQ0EA1O11dXeBwOBAIBNTygNxThYWFVIh/6NAhFBcXo6OjgwasSqO2thYlJSXQ09PDkSNHwOVyIRQu5yuuVMXp6+uj+h7y+xVBIBCgoKAAnZ2dOHXq1GfOwZJeSEgPhyiTDkgvIGU9uF6WGBFIE6PP8pwljtg6Ojrg8Xh48uQJWlpa8Ne//hWOjo5oa2uDmpoavLy8UFpaqnSRsxLWCNAqxT8TAZLVn5AKhfSK97PqdwgBIg836dFx6RWEtOHgq9K6fB2Q3h/yQJIesyfVsc+6X4pI0asYz+dyufjoo4/g5OQEY2Nj6OvrU4dg6d+dn5+PiooKxMfHQ09PDwMDA3B0dASfzweHw4GdnR0kEgkd3ZYVGxPdjrm5OWxsbHD//n2EhIRg69atSrctNzcX9+7dw8mTJ+Hu7q6UBBQUFKC6upr65ExPTyM2NlZOtP38+XPU19czss8aGhpoYO+GDRugoqKCiooK1NbWYufOnXBxcWG8TCSS5aDQrKwsODg4IC8vDwEBAYygVul9bmpqQl1dHRoaGuDj44NTp06teG5+9rOfoa2tDW+88YacCaQ02tvbcffuXbBYLBw4cACWlpbUEV66SksEx5OTkzSy4a233lL4EpqcnMTNmzehq6uLPXv2oLu7G1wuF1u2bJFrldbU1KCoqAgODg6IioqiWXPR0dFy0SvZ2dlob2+nY/pzc3N4/vw5TExMEBwczGgHk6iK4OBgBAcHo7a2FgsLC/Dy8oKVlRVjv9LT0zE5OYmAgAB4enqCw+HA2dkZXC5XTjx+//59DA0Nwc3NDV5eXnj+/Dk0NTVpNIoiiMViVFdXQygUwsbGRu56kkZjYyOEQiElXC/7kpeVEMgKsj+vy7z0s1X6b2ktoiItj3RrjeBFxIgQIHJ9ERARtEAgoNOlsbGxn3lfgH8QIIlEgitXruDRo0fgcDhwc3PD9773vRfqtFYT1gjQ58SrJkDK9Duy7ayX+W5lgmXyMJbuHUvjy5rQ+qogO6H1VbbpFJWhFY3nS5Mi6eObk5ODmzdv4t1332WQHumWFklj9/b2xvbt2zE2NoYnT57Aw8MDO3fupD9TXFyM8vJynD59mlHNGRkZgb6+Pq3gPHnyBGKxmCaxK9qnjo4OaqL405/+VOk1QcbaybSOgYEBBAKBnG6jvb0dGRkZCAkJwcaNGzE+Po7m5mZwuVz4+/vDzMyM+tY8fvwYAQEB2L59O/15Ho+Hmzdvgsvl4tChQ+DxeLhz5w4cHBywd+9euVYlcaU2NjbG48ePYWhoiNdee03pi7ayshLl5eUQCoXYu3fvipNiXV1duHnzJlRVVbFt2zbqjSNbZQSWX/rDw8M4efIkzM3NMTY2JtcyJOcoNTUV+vr6cHV1hVgshrOzM0MATVBQUIC6ujp4eHjA2dkZ69atQ39/P2xsbBjHnUxpjY+PIywsDCKRCE1NTdiyZYvc/pFpPi6Xi927d0MsFmN4eBj6+vpYv34943sXFxeRmpoKsVhMJ8VSU1PB5/Nx/PhxxjHmcrk0IDUiIgLDw8Pw9/eHvr6+Um0PsFzda25uBovFQkBAwIoTVvPz8yguLoa2tjbjmlkJYrGYVnikHe0/y/P280C6daVocvXzEiNg+bwoI0CvAoQA3bx5E3fv3sX//M//wNbWFteuXUNWVhauXbv2UpNwqwFrBOhz4osSIOmVIbkBV9LvrITPIlgmxEC6JEu+Q1kVY7WSIdkJLVkh7Gpo0ykiReT8yL6syUpV0ah9ZmYmxsbGYG9vDzU1NUaSPMHs7CyuXLnC8P7h8/morKxEW1sbwsPD4eLigpKSEpSVleHEiRMKBc7Nzc1oa2tDS0sLTExM8MYbbyglDHw+n2aG8Xg8+Pv7y5k7Asu5V5cvX4alpSWioqJQV1cHsVgMc3NzuLm50ZfNwsICrl27BisrKxw9epQej/T0dOzatYvql4gYWU9PD/Hx8fRz5Bg3NzdjfHwcLBYL/f394PF4OHPmDI18UHQ9/+IXv8DMzAzeeusthlGfLKqrq3Hx4kXY2dnhvffeg66uLuM6JPcxi8VCWloauru7wWKx4OHhIeeITUDytNTU1LB582a6olbUjszMzERnZyeCgoKgrq6OiooKbN++XW6bhUIhkpKSwOVysWfPHtoCmpmZkRNiEx2OiooKjh49isnJSYyNjcHQ0BDr169nPDOGhoZoyzQyMhJPnjxBdHQ0tUcg1zOxQsjOzoaGhgZOnTqF4eFhFBcXIzY2VmmrVSKRoLGxkfqqrXQuhoaG8OzZMwQFBa34OenvVmTySnzPvu7BDem2u2zVCPjHs1m2AiT9M2KxmFHlB4CtW7e+cgJ06tQpHDlyhN6nIpEIR44cwbe+9S1GcO5qxhoB+pyQJUDA8kOEiAxloUi/I1tefVmiITsFIKvf+byC5Zc1GVQ2Nv5l4mVNB1cjUZOF7MpPuoVGQI73yMgI0tLSsGfPHkgkEmhpaSmcIrpz5w6mp6dx4cIFsFgslJSUQENDg6aRq6mpYXp6GteuXYOvry+jYgQsj84SM7729nZ0dHTg4MGDSsvZYrEY//7v/47h4WH85S9/Ueoyzefzcf36dZpzNjY2BolEgtDQUMYqlYz6i8VinD9/nhKu6elppKWlYd++fbC0tIRYvBy+SnLApCe7Wlpa0N/fDwsLC/j7+yM1NRVDQ0NUzCvbqiwoKEBPTw8sLCwwPDyMsLAwuZYjgUgkwpMnT1BSUgITExO888479J6W1ZEBwO9+9zt0dXXhP/7jP1YU3ba3t+PJkydgs9kICgqCk5OTwvML/CPMVF1dHT4+PkoNJOfn53Hjxg0AQEREBGpra2l7TrYl1tbWhpycHOjq6iI8PBxtbW3Q1taGl5cXtLS0GM+nsrIy1NTUwMLCAnFxcRAKhTTjjei3yPMmJycHXV1dsLW1pearERER0NfXV/rcWFhYoO0rLy+vFU1lp6enIRaL0d3djeDgYKULnS+rrfVVQxExkl5MEZSWloLD4WDDhg1QU1PDs2fPkJWVhbKyMkxNTb2SbXn+/DnYbDb279+Pv/zlLwyt3fvvvw8nJye89957r+R3fdlQvKxbwwux0k0jOzEgu9IgD5aX6U2TC1y6uiM7hkkmlhQZDhKB9Mvc5NK9ZdkSuvRNR/RIX6YQWJkHD9kvHR2dVVuZWgnS+6VIYC5NCP7whz+gpaUFr732Gk21JgaE5Dg3NjYiOzsbe/fuhYODA20pOTg4MF6kycnJ4HK5+M53vsN4WTQ2NqKvrw96enrw8vLC9evX4eXlhe9973sKt7+/vx9TU1PIyspCTEwMXXQo2q+cnBw0NzfD2dkZrq6uMDIyUmhel5aWhoGBAZoVdfXqVWhra+PkyZMwMTGhImVCAE6ePEmrB4uLixgYGMDCwgKMjY0RHR2NzMxM/PWvf0VMTAxdnRKMjo5CXV0dmpqa4PF44PF4MDY2pitWNpvNuKbJKH1GRgaCg4Pxwx/+kN5v5F6WHuNOTk5GS0sLvL298f777yu9DhoaGnD//n1oa2tj586dlKjKQixedm2emZnBvn37YGxsDAsLC4UC74GBAdy/fx8sFgvW1tYIDw+HkZER3N3d5T5LxMqWlpaU7HC5XGzfvp3R/pFIJEhLS8P4+Dg8PT2hp6eHhYUFWp2RrUTevHkTHA6Humw3NzfD1NSUEtCFhQUATHPSzs5OTE9PQ19fH6GhoUrv6YWFBeTk5IDH4yEqKgpmZmYKq0jSzw1ZZ3tZf5xvCsjUmDShA8BYOPN4PNy/fx8PHz7EzMwMVFRUYGVlhcDAQLz//vtobW1l2Bl8EXC5XACQs3/Q09Oj//ZNwFoF6HNCLBZjaWmJPiTI9ApZCb1q/Y404VkNguWVhMCKWjsv2h7p7/uyTAe/Digjci+7X8qqRcSEztzcHIaGhlhaWoKvr69c9aCiogLFxcU4dOgQTfIuLy8Hm82Go6MjnJycoKKigsTERAiFQqVhpF1dXUhLS8Pg4CD27NmD6OhouXYCIXItLS24efMmbUv4+fkp3L/CwkJUVVUhMjISfD4f/v7+mJiYgKGhIWPiLTc3Fw0NDdizZw/c3NyooLm7uxuWlpYIDg6GqqoqdVoODw9nBHoCy+3Be/fuwcjICM7OzsjLy4O3tzdtFUof55mZGRQWFkIoFKKjo4PGcCibtiwtLcXHH38MQ0ND/OQnP1lx7L6srAy3bt2Cubk5Tpw4obTCxufzkZiYiMbGRjqppazFU19fj4KCApiZmcHf3x+NjY3Yt2+fHKESi5djLUZGRmBpaUlJSVhYGDVFJPtENDtLS0uwtLREbGwsVFRUqPWANIaGhnD//n2oqqrC3d0dLS0t1MdHFuQ4z87Oor6+HiwWC/b29jA1NaWLL9nFVGVlJWxtbaGvrw8DAwO5a2mlttY39bkBKLbpkN2v/v5+ZGdnU3F7WFgYYmNjER4ejqmpKTQ1NaGxsRFNTU04d+7civYNL4t/pgrQGgH6nBCLxZifn2fod0iL4rNUXV6k3yHtLOnV9Uqj218nFL2spacdZIXAshUD4MsxHfwq8UUJz8sgIyMDz549Q3x8PPT19WFubk6PJ6nKzc/PIzk5GV5eXoiKisL8/Dy4XC76+/thaWlJzery8vJQU1ODU6dOMV7c5GVpZGSE3bt348qVKxCLxTh9+jTdP+mKnJqaGpqamnD58mVYWFjge9/7nsLoCOAfQuigoCAYGBigpKQE0dHRDAM9YHlMuqCgAJs2bUJISAiampowNzcHGxsbGBoa0kmr2tpaFBYWIiAggDHJlp+fT0M6tbS00NbWhuzsbKxfvx4xMTGMc8bn81FfXw+JRILx8XG0tLTA1NQU8fHxUFVVldNjDA8PY2ZmBk1NTVhYWKDHT1lr+aOPPkJHRwe8vLxw7tw5pYuh+fl5/Pa3v4WWlhbee+89sFgspePbeXl5KC8vx+joKHbt2oXt27czJsTIc4U4Qc/MzMDc3BwuLi7w8fGBmZmZ3HXY09ODx48fQ0tLCxEREcjJycGOHTsUtuUKCwtRX1+Pubk5bNu2DVu3boVQKFSqF5NIJKivrwebzYauri6DGCtq73R1daG6uhpBQUFYv3693FSldGuLPBM/y7N3NUK2cyCrC+Xz+SgsLEROTg6d3ouJiUFsbKxS1/JXDWkN0NGjR6k7vUgkwtGjR/Huu++uaYC+DnwdBEiajMzOzkJfX1/pA4D8nPTNTtT8KwmWpUe3X2Wb6auA9PSZtFiZQLrltprI3MviqyA80vj5z38OXV1dxMfHy2lLyHV18+ZNzM7O4tSpU6ivr0d3dze8vLzg4+NDt2dkZAR3795FcHAwgzSQseXq6mpYWVmhuroara2tOHr0KIyNjRn7pKamhrm5OVRWVuLp06ewsLDAd7/7XaUv9+npaXz88ccYGBhAQkKCUg1LT08PHj58CHd3d2zbtg0TExMYGBiAgYEBw0ums7MTGRkZcHd3pw/chYUF6OvrY2RkBKOjowgICEBPTw8ePXoEBwcHHDhwgLGy7unpQWdnJ1RUVODu7o6MjAwYGBjIOWpL48GDB8jKyoKrqyuOHj0KIyMjOa0ci8XC+Pg4srKy0NraitjYWOzatUvpeR0dHcWNGzfQ3d2NuLi4FT97584dlJWV4ejRo7CysoKDgwNdgElfi6Ojo7h37x7Gx8cRGxsLQ0PDFatxtbW16O7uxpYtW3DkyBGFnxOLl92aSaQFh8OBpqYmwsLClG7vyMgIOjs7qZmlIsdz8t13796FlpYWNm3aBHNzc1rtlq7uyPrlSF+PX6Uu8VWAXIuKpBJkv3p6epCVlYWcnBx0d3dj27Zt9Hr6rN5GrwLSU2BpaWn4n//5H9jY2CAxMRFPnjxZmwL7uvB1tcAIZmZmGASIvOhXEiwDzBIuqZaspkmmzwNZ0iNduZLWF8gK+mTL4KuN8H3VhOezoKqqCvn5+fSl6O7uDj09Pairq9Pju7S0hKtXr0JHRwfHjx+nxzg3Nxc9PT3YvHkzPDw80NDQgGfPnlFhsLRgVCAQoKamBhoaGsjPzwcAnD17ljoBy2JxcRF/+ctfYGZmBh8fH/j7+ytcJMzMzOD69et0Mqyvrw8ODg7w8/NjtF3IqLiNjQ0OHz4MYHlyLT8/H87OzpQMjYyM4Pbt27CyssLhw4fpORsZGUF3dzcMDQ1ha2sLXV1dJCcnQ09PDwkJCXLblpubi/b2duzevRt5eXlYWlqiOVnSkEgkWFhYQE1NDXJzcyEQCBAdHU3NImVbwwDw8ccfo7y8HCEhIXjrrbeU3utC4XI4aX19PUxNTfHee+/RAFXZNmRbWxsyMzMhEAgQFhaGsLAwhaRDLF7O5+ru7sauXbtoO1VRDMjk5CRu3bqFzs5O2NnZISoqasUwUj6fj9raWvD5fFhZWa2Yy9Xf3w9TU1P09fXB3t4e+vr6Cts/ZKEkXUGWnZYC5MOPP4sX11cBZaP3ZBG4uLiIgoICZGdnIy8vD9bW1oiJiUFMTAw8PT2/9mfhcykfoMuXLyM9PR1cLhfu7u747ne/q9DeYbVijQB9TigjQERkp0y/IysWlW4jSK9ivmmQndCSrVy9zOpMURn8i+iKXgVWIjyrpVU3Pz+PP/7xj3Bzc4OdnR11IZZFRkYGOjo6cO7cOQDLMRBbtmyBg4MDfXnMz8/j5s2bcHR0pMZ05GXd2tqK6elpKsKuqqpCdHT0isLKH/3oRxgZGcH//b//V67FRcDn83H58mVMTU1h69atcHJygqmpqZzAcnZ2Fjdu3ICxsTGOHz+OJ0+eQFdXV87zZWJiAsnJyTAwMMCRI0fo9TQyMoKJiQloamoiJCQECwsLuHHjBrS1tXHmzBkG8ens7IS1tTV0dXXR2dmJ58+fQyAQUI8jaYjFYhQXF0NFRQW1tbUQi8XYtWsXNmzYIDdZKRaL0dnZicHBQVRWVsLe3h4nT55kXNvS11J7ezv+67/+C3Z2dvjRj34EExMTpXqXBw8eoKysDM7Ozjh8+LDSDDfSHu3q6oKJiQn27t0r59JMUFFRgYyMDOjr6+P111+HSCSSI34EEokEzc3NmJmZgaamJnUwV4bKykrU1tZi69at8PDwkCNzn9WTR3pBJf0MIc9gRST0q3qGKDpn0u26zs5OquUZHBzEjh07EBsbix07dijMmfs6QQjQPwPWCNDnhFgsBo/Ho/8tFoup+l36RlOm3F8tL8/PC1n9zsuO2n9WKDMLk9UVSXuPvIrft5oJjzQmJibwwQcf4P3335eLRiBobm5GdnY2wsLCqJA2PT0dYWFhNAmcxWLRQNUzZ85Q7Vlvby+6u7uhra0Nf39/zM7OIj09nY7Syx6H1tZW5Ofnw9jYGMPDwzh48KBS4iMWi/HRRx9hamoKoaGhNNleFsTzR1NTEydOnICOjg4KCwthbm5OJ5zEYjEd89fV1cXx48ehoaGBrq4u9Pf3U4GwlpYW5ufnkZSUBE1NTTlTRIFAgMuXL8PW1hY7d+5EYmIi1T7Jvoh6e3vBZrMxNzeHlpYW8Hg87N27V6mwube3Fx9++CHEYjH27NmDbdu2yV3b5GVZU1NDnZd/+MMf0iqe7Bi3RCLBX//6VwwNDSEgIGBFd+uGhgb8/ve/h729PT744AOG0Fz2vNy5cwe9vb3g8/nYvHnzii25oaEh9Pb2gsViregSTlpclpaWtO0qXeWRHRx5lROlisbHyTNE+tnxKirOss8QQuakRfRcLhd5eXnIzs5GQUEB7O3taZXHzc1t1TxfFGGNAK1SfJUEiM1mY9u2bfD29oavry8CAgJgbW2N6upq1NbW4gc/+AHjIv4mt7WU6Xi+rn16lX5Fih5WwD8HSeVwOLh48SIsLS0xNTUFgUCAkydPwsDAgPGSycnJQVNTE06ePAlLS0tMT09TXYylpSXs7OyokaGJiQni4uIY7UoulwtNTU2oq6sjJSUFCwsL2Lp1q1JPncXFRfzhD39Af38/EhISlOpHhEIhrl69CqFQCFNTU0xNTWHHjh1wd3dnnDNSydHU1MTZs2cxPDyM8fFxmJmZwdTUFObm5gCgkPiQl/3i4iJee+01AMs6qGvXroHFWg4elRZzT05Ooq2tDRwOB+7u7sjNzQWbzcaRI0fkKi58Ph83b96EiYkJBAIBhoeHERoaqvS4TE9PIzExEVVVVYiIiEBcXJycvxe5Jpubm3Ht2jWoqanh3XffXbHtkJ6ejoGBAczMzNDWmbLf/8EHH0AoFOKdd95Rup3A8jlsbGwEn8+HhYWFUvINLCfNm5mZoaioCI6OjrC0tPzaPXlexolZUcV5peeItM+bLJlTUVFBW1sb1fKMjY0hIiICsbGx2L59u9KBgdWINQK0SvFVEiBgeTT4008/RW5uLlpaWjA3NwcNDQ3Y2dnhtddeQ2hoKLy9vaGjo6OwJCv7ol4tpGglr5rV3KpTRIqkdQHSqztFNgLfdMIjXWn83//9XzQ1NeGPf/wjdHV1FbYRWltbkZmZia1bt8Lf3x9VVVXgcDiwsrKiWVzEh4bNZuP8+fPUeFAikWBiYgJpaWnQ09NDYGAgHjx4ABcXF0RFRcld10KhENXV1aivr8fw8DBOnDgBT09PhfshFotx5coV5OXl4d///d9pe0S2xcrn85GSkgJVVVXExcVhbm4Ok5OTMDQ0ZOhT5ufnaaDomTNnoKGhgY6ODri6umJ8fBwikQjW1tb0c+rq6jh9+jTdVw6Hg7KyMmhqamLdunUwMTGhtgGyWiCxWIyOjg64u7ujubkZpaWl4PF42L17t8JJqoqKCnR0dEAsFmNiYgLOzs7YsWMHvceIo69EspzyXlZWhtraWhgbG+P8+fN0fF22gsHn8/HjH/8Yk5OTeOONN+i4vyLcu3cPXV1dUFVVxZkzZxRqgMi+1dXVYXFxEVpaWvD391f6zOJwOCgqKkJ/fz927txJSc9nbWt91ZC2IFGmL5J+VhPio4jMsdlsPH/+HFlZWSgqKoKzszOt8qykiVrtWCNAqxRfNQEqKCjAD3/4Q4SHhyMsLAxbt26FtrY2ampqUFVVRR/4IpEIXl5e8Pf3h7+/P3x9faGnp6dQAPxZqhevCi8yHfwme2lICw7JfhGQ4/1NJT6KXG5VVFRQUlKC0dFRnD59WmE5n81m48qVK7CysoKNjQ0kEgkMDAywYcMGhtg4KysLLS0tOH78OKytrSEWi3Hv3j0IhUIcO3YMKioq9LtMTU1x/Phx2joj2zUxMUETyTkcDiIiIrBx40aFrQaJRILbt29jcHAQhoaGOHLkCLS0tOReMACQlJQEHo8HX19fcLlc2NrawsfHh/F9CwsLSEpKYhCfpqYmFBQUYPPmzdQriGiLtLS0cPr0aWhoaEAkEqGlpQVLS0uQSCTw9fUFj8fD9evXoaqqKlcZApbF0m1tbdizZw+ePXuGpaUlHD58WM4XaHJyEkKhEGw2G/fu3QOwnNUUHBwsVwlZWFhAX18fSkpKMDAwAH9/fxw6dIjqDKWfIUNDQ7h37x6WlpZowrqFhYXC9rBYLMZf//pXVFZWYtu2bdRsUhHa29sxOTkJDQ0NeHp6Kp3iWlhYQEZGBjw9PbFu3TraZvpneI4omtaSxo9//GPo6enBxMSE+u/Mzc1h586diI2NxbZt2xiu5d9krBGgVYqvmgC9DCQSCbhcLurq6lBdXY2qqiq6itqwYQMlRX5+fnSq48smRbKmg1+XmeKXgZX2TfrlokgX8GXpil4VFO2bNIl7kW5CLBYjKSkJXV1dOHDgAIRCIfz8/OQezLW1tcjLy0N4eDgCAwMxODgIOzs7dHV1QU1NDY6OjrRKIxQKce7cOYaepLe3F7W1tTA3N4eGhgaKi4vh4eGBHTt2yLUaVFWXA0t/+9vfYnJyEj/4wQ/g4eGhsFogFotx9epVtLW1ISoqCuvWrYODg4NcmCabzUZiYiI0NDQQERGB7OxseHt7y6XdT05OIiUlBbq6ujh9+jRUVZdNHIeGhqCtrY2goCBoa2tjfHwct2/fhra2NiVIANDR0YFnz54hPDwcGzZswNzcHJKTk8FisRAfH081Q2SBQSpCZmZmGB4eBp/Px/79++Hs7My4xgQCAWprazE3N4empiaoqanBz89PYatQIBAAWDZYvHnzJjZt2oQTJ04wiCghSmw2Gzdu3EBfXx9cXV2xb98+ODs7K7xeRkZG0N/fD5FIhPXr1ys1dyTaKw6Hg/r6emzcuJFRcVyNleKXBTlv0gso2SrP3Nwcnj59ir///e9obm6GqqoqlpaWwOVysX79enh7e+N///d/v1GTUS/CGgFapViNBEgRJBIJlpaWUF9fT0lRbW0t5ufn4eHhwSBFpqamSknRy0ZQSFcKyN/f9OoHwRclBdJQZOKoiIQS4eRXXZlTROZedjvu3LmDwsJChIeHY/fu3Qp1IKOjo0hJSYGbmxtiYmJQWlqK2tpahIWFMVpKd+/exdDQEBISEqjgtaurC2NjYzSJXE1NDbdu3YKtrS0dVZdGaWkpent7YWBggKamJoZAm2iLpCfQ/vjHP2JmZgbh4eEICgqiuh5pEOIjFAoRGRkJDw8PtLW1wdXVlUEwyBi9oaEhEhIS0NTUhPn5eRgYGMDOzo62tEhAqbGxMRUXz8zMgM1mw9LSEq2trfD19aWVF0KkCFnj8XhITk6GsbExtmzZAqFQiLt370JdXR3x8fGMcyAWi1FdXY2lpSXo6+ujrKyMjtErSqQfGRlBeno6HUv38vKSy3cDlvVM7e3tUFFRQWpqKmxtbenUmazehc1mo6WlBaqqqrC2tlb4e8m2dnd3o7S0FCwWC9u2bYOxsTGjyvNNhSJbAbJfpB1ZV1eHnJwcZGVlgc1mY/fu3YiJiUFYWBg0NTUhkUgwOjqKhoYGNDY24uzZs0qDX7+JWCNAqxTfFAKkCMSNtqmpCdXV1aiurkZNTQ2mpqbg6uoKPz8/BAQEwM/PD1ZWVnLVC0C+Py3976vVPfqz4kVk7lXv28voil6VX9GLJtC+yL4Rg0NFIGPoCwsL0NXVxebNm+Hv7y/3ORJJERsbCxcXF8zOzmJ2dpZWTAIDA8Fms3Ht2jXo6+sjISGBQTxmZ2eho6ODzs5OPH36FIuLiwgJCUFoaCi9NqWFqR0dHbhy5Qq4XC5ef/11uLu7Kxxjlq746OvrY2lpCceOHZOrbPX39+PBgwcwNTXFtm3b6PY7OjrCzs6Ofq65uRm5ubmwtLTE4cOHwWKxMD09jadPn4LFYiEuLg4sFguNjY3Iy8uDubk5Hbfn8/lobGyEh4cHWltbsW7dOkxPTyMnJweGhoY4deoUbeNJJBK0t7djcXERi4uLMDAwwPPnz6Gurk7F6gRisRgZGRkQCoWIjo7G9evXsbS0hKioKIV6EqFQiGfPniE9PR2urq7w9PTE7t27GZ8h1enq6moIhUIYGBjA1dWVtollnyelpaWYmppCQEAATExMaMjuN3XxBCgPSyUkXlV12eD26dOnyMnJQVlZGTZs2EC1PIrsJv7ZsUaAVim+yQRIEYjArq2tDZWVlZQYjY2NwdnZmZIiJycn9PT0oLi4GGfPnmXclNJVom8i8fmqCc/LbpNstUh2NS3bslzpe2TF5l9lK/LDDz/EzMwMvvvd76KrqwteXl5yLb+6ujrk5eVh06ZN8Pb2Rn19PcbGxuDq6krF0kKhkMZlkJYYOUalpaWoqamBu7s7DA0NUVxcDF9fX+zatUtu35qbmzE1NYWKigqa+G5jY6OwOjc7O4uf//znWFpawi9/+UvY2dkpbBF3dXUhIyMDurq6cHV1BY/Hw7p16+QqHFVVVSgpKcG6deuwZ88epKamAgB27drFEAYXFxejuroaTk5O2L17N538KS4uRk9PD44ePQpLS0uUlpaiuroa9vb2OHDgAP35vr4+9PT0AAC8vb0xODiIoqIimJiY4MSJE4zjPzk5CTMzMzQ2NmJychJNTU3Q0NBAQkICg9BKJBIUFBSgq6sL3t7eqK2thVAoRFRUlNx+CgQC1NfXg8fjQVtbGz4+PnLhx9Ju0np6eujs7IREIoGPj8/XUg19lVBU5ZEeUQeW28BZWVnIzs7G0tISIiMjERsbiy1btsi1XP/VsEaAVin+2QiQMiwuLuKTTz7Bo0ePUFNTg4mJCairq8PMzAyRkZHYuXMnAgIC4OjoKFfBACD3AFtNK7jVSHheBrLTI4p0ReRlIb2PX6dI9P3334ezszPefvtthTqngYEBpKWlwcHBAVpaWtDX14erqyvMzMwYVcabN29iZmaGCoNJBAMh6Gpqaujp6cHTp0/h6uqKPXv2MH7PxMQEpqamMD09jdraWohEIhw4cICGt0pDLBbjwYMHGBoagoaGBiIjI2FlZcWY1iHXS3t7O7Kzs8HhcBAVFQVHR0fY2trKHd/8/HzU19fD09MTOjo6CAwMxNTUFIyMjCjJkEgkePz4MTo7O+Ht7Y3g4GDU1taipaUFmzZtom7PwHJUBhEsE91RR0cHxsfHoa+vD1NTU9ja2uLx48fo7e2Fu7u7nM8OcZ8OCwvD5OQkmpubYWlpSQXQBLW1tTA1NYWBgQHq6urQ1NQEbW1txMfHM3RZZIKLy+VCXV0dfn5+jLBUaVIgEAhQVlaGtrY2bN68GQEBAQqd22WroavVfVlRlUf2npuamsLTp0+RnZ2NyspK+Pn5Yc+ePYiJiYGNjc3XvQurCmsEaJXiX4UACQQCbN26FSEhIdi2bRu2bdsGCwsLdHd3o6qqClVVVaipqUFPTw9sbW2pnsjf35+K8RQZgr1s5eJV4ptKeF4W5IWiaHLkVbfQXhXm5+dx5coV8Pl8xMTEgMPhwNfXV66ldO/ePfT29mL//v3Q0dGh2pjKykqEhoZCS0sLQ0NDlEQdOnSI/iwR+M7NzcHZ2Rmtra0YGBhATEyMUu1Jb28vPvjgA/j4+FBzQFlIJBKUlpbi1q1bcHJywqZNm+Du7s4wvCN/srKy0N3djY0bN0JfXx+FhYXYv38/9fORHrWfnJykqemampqwsLAAm82m1VahUIjk5GQsLCzQkffx8XGMj49jfn4eFhYWcHFxoZEWbDYbERERVPfU3NyMwsJC7Pj/B48SYjk3NyeXrC6RSDA8PIzCwkK4ubmhp6eHVuSk21wSiQSNjY2Yn5+HhoYGNmzYQCe4ZEnB5OQkHj9+DF9fX4SGhr40gXmR+/Jn0Sq+ShBCpyxUVCKRoLq6mvryiMViREVFISYmhrZk16AYawRoleJfhQC9LMRiMfr7++lIfnV1NTo7O2FhYcEgRcSfZKWJqFdFipSNbv8z6JMAxQ7Zsv5JABir6C9TV/RZt/0Xv/gF5ufnsXfvXoSHhzOqBORll52djcbGRuzYsQOOjo7IyMiAWCzGqVOn6OfHx8eRkpICMzMz2tZZWFhAUVERDAwMsG7dOlhZWeHRo0fo7e1FVFSUnE9OS0sLCgoKoKuri7m5OWhpaeHs2bMKX04ikQjJycmorq6Gra0tvve971Exrmx17u7du6iqqoKamhp27NiBbdu20WNNrs/FxUXcvHkTS0tLOHjwIDQ0NFBeXg5ra2tGiOv8/Dxu3LgBiUSCY8eOQV1dHY2NjVhcXISDgwPdp8nJSdy+fRsqKio4fvw4TExMMDg4CA0NDZiZmaG+vh7+/v70cwDoGDuwLHp+8uQJTExMEB4eDlVVVSQnJ0MkEjGE0hKJBK2trVhYWIBQKISnpycVdUvfd0KhEIuLixgbG4ODgwM6OztfGF3xWSAb/6GsTSxdgX4Vk60rhYqOj4/TKk9NTQ0CAwMRExOD6OhoWFlZvZL9Xs2QSCT4+c9/jk8++QRzc3MICgrC3/72N6WZbjMzM/j2t7+N9PR0qKioYO/evfjrX/+K2trar3bDv0SsEaB/MUgkEgwNDVFSVFNTg7a2NhgZGTGE1h4eHozAQWWk6EUrxX8FwiNr0Pd53G1fla7oi+7LzMwM1bvIirLLy8tRVlYGLpcLJycnHDp0CMbGxoxtmZ+fR2JiIvT09HDmzBlwuVw0NDTAyMgIfD4fvr6+UFFRQUZGBjo7O2lmFkFpaSlEIhG2bt2KiYkJ3Lp1Czo6OnJZXcByJbSoqAjNzc3o7+9HdHS0UsM/sViM//zP/4SKigouXLgAY2NjGBgYQCAQ0LBNiUSCubk56gxtYGAAKysrhIeHw9LSkrGfJGFeT08Pe/fuRV1dHXR0dGBnZwd7e3v62YaGBhQUFEBfX58KoOfn5/HgwQMYGhpi3759NEOspKQE+vr6OHnyJNTU1NDY2IiRkRHs2LEDXC4XhoaGqK2tRXFxMXR0dBhtLuLVAwDu7u4wNTVVmkE1PT2Nmpoa8Pl8HD58+Cub2lLk4C49aflZs7qkR9SV2SZUVFQgOzubCtijo6MRGxtLvaj+lfCb3/wGf/rTn/D48f+vvXuP6/n+H/9/66BzKQo5pJRISiGnck6UxsycxjC2GbM5rG1m9mZjvj7ONmyzzTDHsTnPocRUNlMqIaGUqJDO58Or3x9+z+d61asUSfS4Xi67XOb1er5ePZ+vw/N1fz4ej/v9/ic2NjZ89dVXbNu2jaioKJX9xoYOHUp+fj67d+8GYOzYsejr6zNnzpza3vVnRgRAAiUlJdy7d09OyQ8NDeXq1avo6+vLKflOTk7Y2dkp9SQqO9Qt/Qf/XW2+bAGPqh+VZ9USpLKWH6qmdGqiaKaqBaJXrlxh69atjBw5EhcXF7S0tMoVw8vJyeHXX39FU1OT8ePHy6MQCoWC3r17y6+Jr68v165do1+/fnLfL2lNxl9//YWOjg5t27Zl165dSmnlkoKCAi5duoS2tjaBgYHk5+fTrVs3pVGZ0qQ2GZcuXWL06NG4ubmV69GkqalJQkICW7duJTc3ly+++IK8vDyMjIzK9Z6T6ng1atSINm3aYGhoiJqaGh07dlR67U+ePMnNmzexsbGhZ8+e7N69GwMDA1599VV0dXXl7Q4cOEBCQoK8DigzMxNDQ0MuXLhAeno67u7uKBQK9u/fz/3795WmuaKjo0lMTERdXV1em6Uqo0mhUHDy5EnU1dXp1q1bnctcqk6vrrIjS9I5pUGDBqirq5OUlISvry9+fn5yXSJplEdV6YT6xMrKitmzZzNr1izg0bStubk5q1ev5s0331TaNi4uDktLS8LCwuSCoeHh4Tg5ObF79+4K60K9aEQAJKhUUlJCSkoKFy9elDPQrl69ipaWFo6OjvJokbW1NWFhYQQGBvLee+8pndxL13KRRkJetMCnbA+00sXQSgd0tUnVmouy9Yqq2tixolECKaCLj49nzZo1LFq0SGWTy4KCArZt20ZOTg5t27ZFX1+fhg0byidNyalTp4iMjMTNzU1Osd+3bx8pKSkMGDAAGxsbkpOT2b17t5xCLwU+RUVF3Lp1iwcPHpCfn09mZia3b9+mZ8+eKvtVJScnc/ToUc6cOUOHDh1466230NPTK1fXRVNTU85Qy83Nxd7eniFDhqh8Pw8fPsz169cxNDTExsYGhUJB165dlV5zqZJ1ZmYm9vb25Obm4uXlRUZGBgYGBvLz5uTksHPnTgoLC/Hw8MDCwoLTp08TExND37595RYhaWlp7N69m5KSEjw9PbG0tJTrLamrqyv11Spbt6agoED+8crKyqJZs2YVNj+ti6Tgv6Iq7mFhYezevRs7Ozs0NTWJi4vj3LlzaGtry6M8Xbp0qTMLsZ+39PR0jI2NOXfuHD179pRv9/DwoGPHjqxevVpp+4MHDzJmzBi54bdEW1ub//3vf+WKir6oxEovQSU1NTUaN27MoEGDGDRoEPBf/6ft27dz7Ngxli1bRnJyMhoaGjRv3hx1dXX69++Po6OjUv+z/Px8cnNzn1urj+qobMpOS0urTvQvUjXtWHakSNp3KJ/1J007lK1uq6OjU27KzsrKim+++abcPigUCr7//ntiY2MZPXo0GhoaODo6lptWOHPmDBEREfTq1YuePXty/vx52rRpg5GREa+//jrwaL3Q+vXrMTIyYsaMGXLvsJCQEFJSUjAyMqJTp05ERkZy+/Zt+vbtq5RWDo8yue7fv4+joyPHjx9HW1ublStXKo046unpyQUAv/32W4KDg+nXrx8zZ85U+ToXFRXxyy+/cPnyZbp164a7u7tSYCdNEUpTdUVFRbz66qskJCQQGxvLsGHDyM/Ply8Kbty4gZ+fH9ra2nTr1o3Q0FCKi4vR1NRk0KBB8useEhLCP//8g6GhIVOnTuXOnTskJiZy9+5drKyscHFxkT+fmZmZSgGrtrY2ERERXLt2DW9vb7k9w4tCVUAuHZf02bxz5w4BAQEEBQWxb98+ALkdipOTE0ZGRri4uDznI6lbMjIyADA2Nla63cTERL6v7PaqiqUaGxuTk5PzTPbxeRABkFBlUnn91atX069fP77++mv69u1L06ZN5VYf27dvr1L/M2ndRdm5/9pe+PsiBDxVUXr9g6TssRUUFCg9RkND44mK2Z0/f57ffvuNfv36MW3aNJVrKaTUcjMzMz744AOKi4s5f/4806ZNk7dJSkpi3759NGzYkBkzZlBcXExAQAANGjSgUaNG2Nvbo6Wlxb59+7hw4QIeHh5Kgc+NGzewtLQkLi6OjIwMbt++TVpaGhMnTpTfO+n9i46O5uzZs2RnZwPg5uZW4VqGW7du8f3336Otrc3AgQOZOnWqys/AlStXOHv2LHFxcbRu3ZpevXphZWUlZ59Jr/2pU6e4efMmBgYGeHh4oKurS0JCAm+88Yb8o65QKNi7dy8PHz6kQ4cOeHh4cO/ePf7991+srKzo3LkzhYWF8gLtBg0aoKOjg7q6Ov/++y8RERE4ODjQrVs3+Tv3IlBV7bxsQC7VWPLz88Pf3x9DQ0OGDBnC3r175fIDKSkpREREcOnSpTp1QVVXSEU109LSlG5PTU2lRYsWKrdPT08vd7tUzPRlIabAhGqT1v1Udn9ubi5hYWFy9llYWJjK/mfGxsblFv/Cs8uGqizgKb2G50U9iar6QSm9BksKdFTVK6qJEbqAgADCw8OxtLQkISGBjh07llufI6XGN2rUiJEjRxIREYGOjg45OTl07NhRHj3cuXMnaWlpDBs2DAsLC/nxISEhnD9/nm7dulFQUMA///yDubk5r732mtKIT0JCAsXFxejo6LBp0yaMjIwq7MSdnp7O33//zalTp9DT02P+/PlKGXClbdu2jRMnTjBkyJByayckBQUF7Ny5U+4JlZKSQpMmTXBzc1N67R8+fMihQ4cAsLe3l7u7t2rVikaNGqmctsvMzOTIkSPyBUZRUdELVZxPGuWRprfKHp+Ghga3b9+WCxFev34dV1dXvLy8cHd3LzeKIVSNlZUVc+bM4cMPPwQejXA2b96cVatWVbgGKDw8HEdHRwAuXbpEp06dxBqgukoEQHWX1P8sIiJCzkCT+p+1a9dOKQPN1NS0xoKimuwVVldV1r+oqsenqohjdfrO7dmzh4MHD9K1a1fmzp2r8m9IvbUaNWqEjY2NPC3ao0cPeX1KUVER27dvJysri9GjR2NmZsa///5LSEgIHTt2xMnJiZKSEi5cuMCVK1ewtbVlyJAhSvsTHx/PuXPnMDQ0JD4+HoVCwahRo8r1Y0pNTSUyMpLg4GDu379Ply5dGDFiRIX7fuzYMQoLC2nYsCETJkxQOSp09+5dtmzZwvXr1/H09GTo0KEYGhqW2+78+fMEBweTmZlJz549KS4uxtLSUqnitPSaa2pqkpeXx4MHD2jcuDFXrlyhS5cuL0x38ao0FS0oKCAwMBBfX1/OnDlDo0aNGDJkCF5eXjg4OLzQ38+6YsWKFXz77bf8+eefWFtbs2TJErZs2VJpFlhhYSE7d+4E4I033kBHR6fC7/eLSARAwnMj9T+7evWqUlCUnJws9z+TRouaNm1aaVXrspkiNdFAtK5SFfA8i2rSldVyKfu65+bmqvyhB4iJieHgwYOkpqbi4eGBkZER9vb2SlNneXl5ciPT0aNHyy0pLCwsePDgAWZmZmhqasqLhTt37iyPLN25cwc/Pz9MTU1xc3MjNzeX/fv3o62tzfjx45UChfv37xMeHo6+vj5RUVFkZ2crPVdZUVFRLF26FCMjIxYtWqQUoJT2ww8/cO3aNXr06MHAgQNVNr+UihtGRkbSvHlz7OzssLGxkTPJSr9/0msfFxdHSEgIAIMHD0ZLS6tcQFoXP8uPayqqrq7OrVu35FGemJgY+vTpg6enJwMHDlTqgybUjJKSEhYuXMimTZvIyMiga9eubNiwAQcHB27fvk2HDh04duwYvXv3BiAlJYWZM2dy9OhRALy9vUUdoLqsqgHQ7t272bBhA+Hh4WRmZlJYWKi0duLIkSMsXLiQGzduYGxszPTp0/nss8+UnmPDhg2sWLGC+/fv0759e9auXUufPn1q8nDqJenEf+3aNaWq1klJSXL/MykoatGiBQqFgsjISNLT05XWPZQe5ZFOuC+qx6XeV7XWUE3ti6qRIlU1osLDw9m5cyetWrWiT58+dOrUqdx6oczMTLZv3w7AsGHD0NTUxM/PD0dHR6ytreWA4MCBAyQmJtK3b18cHBwICAigsLCQvn37kpmZibGxsdyctGxPLWlRspSJFRwcTHZ2NoMHDy43HRYfH8+xY8fIyMhAR0dHqRN8WUlJSfj7+xMcHIyDgwNvvfWWytfszp07rF+/nqKiInr16kX37t0xMDBQGZSnpqZy7NgxjIyM6Nq1q1ygr+zrXjY9X1VQVNv98VSl4EvfPw0NDfLy8ggICMDX15e//vqLpk2byk1FpZ5yQt0nKkHXUVUNgE6cOEFKSgq5ublMnTpVKQC6cOECvXv3Zs+ePbzyyiuEh4fj6enJ/Pnz5bnTvXv38vbbb3Po0CF69uzJjz/+yKeffkpkZGSdq7HxsiguftQdPDg4GH9/f4KCgkhISKCgoIDi4mL69+/P0qVLsba2rlIBx7p65QyV/5jUdK2hmlBRvaLTp0/Tt29f+Qew9Ov+4MED9uzZQ3Z2NsbGxmhra+Pl5YWxsbEcEEjVndPT0/Hy8kJHR4fmzZsTFBSEjo6OnAJ/9uxZIiIiaNOmDZ6ensCjkZ5bt26Rn59P48aNadq0qVyJeezYsUrrSAICAigqKqJ///7s37+fpKQkbG1ty/XnAsjKyuLw4cMcO3YMe3t7Jk+erHI9RH5+Pps3b+bGjRsYGhoybdo0DA0NVQatly9f5t69e/To0YOMjAyaNWtW5eKZqkbpaiu5oKJRHqmxqJqaGtHR0fIoT3x8PH379sXLy4v+/furnHZ5GVWnAvP9+/f5+OOPOXv2LA8ePMDU1JRx48axaNGiCtek1TYRANVR1Z0CO3PmDP3791cKgD799FPCw8M5fvy4vN2CBQvYs2cPN27cAKB///44OTmxZs0aeRtnZ2dee+01vvjii6c/EKFCn3zyCevWraNHjx7079+ftm3bUlJSQkREBBcvXlTZ/0xqE6CqmGB1qlo/K49bmP2iZKKVpSo1PzY2lmXLlmFsbMwXX3yBkZGR/IMpHWNeXh7btm2jqKgIb29vrly5wt27dxk2bJjcGgIeFRG8c+cOLi4udOvWjRs3bsgjPRYWFrRs2ZIrV65w5swZjIyM5ErMCoWCjIwMjI2NCQwMRFNTk2vXrpGTk8OAAQNo3769/DcUCgXHjx8nPT1dXlNkZGTEmDFjylWmzs7OJjg4mGPHjpGbm4u3tzeurq4q38PExETMzc3lytoVVbB+mtdd1Tq6p/nMV6WpaE5ODgEBAZw8eZKAgABatGiBp6cnXl5e2Nra1tmLjmepOhWYY2Ji2L17N2PGjMHKyoqYmBhee+01BgwYwNq1a5/PAZTxMgVAIg2+DOmqqjSFQsHNmzflKq1hYWG8++67Stu4uLgQGhpam7taL3388ccsWrSowlRMhUJBfHy8XLxx37593Lx5EzMzMzkgcnZ2xsbGRh5lKCoqIj8/v8JMqJoOPlRlagHy1bOuru4Lv06polGs0NBQ1q1bp1RlOTc3F3hUe0R6v5ydnRk8eDAWFhZKGWBFRUXs3LmTjIwMBg8ejLm5OUVFRVy+fJmmTZvi4eEBPOqmfvDgQdq0acP7778v79P+/ft58OAB3t7e5ObmEhERgYaGBmPHjpXXneTl5REUFISzszN5eXk8fPiQzMxMmjdvzvTp05WO8eHDh0RERJCQkEBISAgWFhbMnj0bMzOzcu9hdnY2//zzD7du3ZL3s3v37jX+2kvBc9n3o2xCgKrPfNkCmmW7xJctEaGmpkZUVJTcVDQpKYl+/foxbNgwVq9e/VKlTD+pjRs34uPjI1c+X7x4MT/99BP79+8vl33Vpk0b5s+fL//bxsaGKVOm8Msvv9TqPtcXIgAqY9iwYaxdu5Y//viDYcOGERYWxubNm4FHJ2hDQ0P56rE0ExMTYmJinsMe1y+PK2cvVcht3bo1I0eOBP7rfya1+jhy5Ei5/mdOTk7l+p+VrlX0tOnhlS0Kleq5vOgBT0Xp96XrKU2aNKncY69evcrGjRtp27Ytw4cPR19fH11dXUpKSuRCfzk5Ofz2228oFAo6duyIqakpycnJ2NnZyd9FaZHxw4cP6dGjB9OmTeOPP/5g8+bNeHt706RJE0aMGMH58+fZv38/pqamTJs2DXV1dfLy8lAoFNy4cYOQkBBcXV3Zt28fxcXFeHt706pVK3ktVmJiIlFRUSgUCq5du0ZJSQnNmzdnxYoVSmucSkpK8Pf3JzExEWdnZzp06KByWq02SJ9XdXV1pZT5sqN00me+rJCQEBwdHWncuDFZWVn4+/tz8uRJgoKCsLKyYsiQIXz//fcqSwzUZ+np6cTGxtKtWzf5Nk1NTZydnQkNDa2wjEJpJ0+exNnZ+VnuZr0lAqAy3Nzc2L59O0uWLOHtt9+mbdu2TJ8+na+++kruqmxkZKSyoJTIXKib1NTUaNmyJS1btpQL6Un9z0JDQwkJCWHFihVERkaip6cnT59JP1rStEl1gqLKusJLFYlf5IAHai6o++OPP+RMK4k0YhEbG8v+/fvJyMigR48eFBYW0r59ewwNDeXXPSsrS24t0b9/f65du4a9vT35+fkMHToUfX19FAoFf/zxB4mJiTg4OMijQufPnycsLIwOHTrg6upKXl4e6enpnDlzhsmTJ6OpqUlRURFRUVHEx8ejpqaGvr4+0dHRFBUVMWDAAKW1HHl5eQQGBtK+fXs0NTXp0qWLyoq6dYUUFEnTwlLwU7p1zf3793nrrbdITk5GW1sbLS0tuVjjH3/8Qfv27V/4z/KzUt0KzGUtXryY0NBQLly48Cx2r94Ta4DKrAFSZc6cOVy4cIHAwEDg0RogZ2dnpf4pnTt3ZsSIEZWuAXpc9tmOHTtYtmwZcXFxGBoaMmrUKP7v//5PXvyWn5/P3Llz2bNnD/n5+fTt25fvvvtOLLyuIaX7n0kZaFeuXEFbW1vuf+bk5ISDgwNaWlpKayzy8/Np0KABampq8hSqNAJSelHoi+xxfcNqMqgLCgpi//796OjoMHz4cJydndHU1FQasYiLi+PIkSMAjB8/ntTUVP7++29GjhyJvr4+6urq5ObmsnPnTvLz8/Hy8qK4uBh/f3+6du1K586d5SmggwcPkpCQgI2NDf369aOwsJDIyEhSU1MBaNWqFfn5+QQFBaGlpcW4cePk6Z3c3FwUCgV3797l8uXL9OvXr063n6jsfZQyJjMyMjhz5gy+vr6cO3eOtm3b4urqirm5OcnJyYSHhxMWFkZkZCSJiYkq0/6F6vfgKu2LL75gy5Yt+Pn50a5du9rY3SoRa4BecNKVvNQaID8/n6KiIrkYW3BwMJ07d6agoIB9+/axefNm/vzzT/nxM2bM4J133mHEiBF0796dn3/+mevXrzN58uRK/66JiQkzZsyQs89KCw8P580332TXrl2MGjWK+Ph4hgwZgp6eHkuXLgVg7ty5BAQEEBISgomJCTNnzmTYsGGEhIS8kItk65qK+p+lp6fLI0U//fQTERERlJSU0KxZM0pKSkhISCA1NZWLFy/KUyCli79JIyXPo9XH06hocbbUhuFZZaMpFApiYmJYvnx5uedXU1Pj4sWLXLhwQU5/b9++PaamppiYmNC6dWuKi4uJiIjAz88PPT09OnToQLNmzTAzM+Pu3bvy+r3SI0cDBw5kwIABhIeH4+/vj6amplxp+dChQ/j7+2Ntba20Big4OJhLly5hY2NDr169sLW1xdbWtsZfj5pQ+n0sPT0ptZuAR5V+/fz8OHnyJBkZGbi7uzN+/Hi+++67CjOQCgoKXqgmq7WtYcOGWFpacuHCBTkAKioqIiwsrMLpr5KSEmbOnMmJEycICAjA0tKyFve4fqmXI0BbtmxRWbPj9OnTuLq64urqyrVr1+SOz0uWLMHNzU1p2/Xr18t1gOzs7FizZg19+/at0t9XNfK0f/9+pkyZIl9xAvj4+HDlyhWOHTtGXl4ejRo1YteuXQwfPhx41PXa3Nwcf39/uXiV8GwFBwfz+eefExAQgK6uLq1bt0ZbW5u0tDQ0NDTo0KGDvKbI0dERQ0PDWm318TQqWsdTdpTneVmxYgVhYWG4u7tXWHPnr7/+IiIiAjMzM/r06UNAQACtWrXC0dFRnua5fv06QUFBaGtrM3ToUG7evElJSQm6urrY29vLU9zSmqMhQ4bIGTl+fn44ODjQo0eP5/5+VaaiUZ7SGXdpaWn4+/vj5+fHP//8g52dnVyXp/TCc+HpVKcCc1FREZMmTSIsLAw/Pz/Mzc2f015X7GUaAaqXAdDzpioAysnJoV+/fsyaNYuxY8cSGxuLl5cXPj4+vPPOO4SHh+Pk5ERCQoLSl8LW1paZM2fKNYqEZys6OpqjR48ycOBApeJtUv8zqSlsSEgI4eHh5ObmYmdnJ68pcnR0xMTEpNKgqDar/NZWVemnlZeXR3BwcLkLEXh0DHv27OH69etoaGjQsWNHBgwYIK8pkkayDh06RGxsLKampjRv3lx+raWmqxoaGoSGhhIWFoaBgQHjxo3jwoULGBsbY2NjQ2JiIlZWVrV96FVSUfAqBTzS9GF4eLhclyc3N5dBgwbh5eVFr169xEjOM1KdCsx//fUX/fr1k5sUl5aVlfWcjkCZCIDqqBc5AALYtGkTn376KZmZmRQXFzNx4kQ2b96MhoYGAQEB9OnTh5ycHHR1deXHdO/enVdeeYUFCxY8j0MRKlG6/5kUFFWl/5mqKr81VcCx9LSWND33vKpKP62MjAxmzpyJiYkJPj4+tGzZUl6DJQUDGRkZ7N69m+TkZGxtbWnZsiXGxsY4OjrKx1lcXCw3Xm3bti3t2rWjuLiYixcvYmNjg52dXZ0aqZOUHuUpLCxU2QMuJSWFU6dO4evry4ULF3B0dGTIkCF4enqq7AIuCI/zMgVA9XINUF20detWPv30Uw4ePIibmxv37t3jnXfeYfz48ezevVu+mk1LS1MKgET2Wd2lpqaGjo4OLi4uuLi4AI9+tAoLC7ly5QoXL17Ez8+PFStWqOx/Jq0xKlu3pTpBUWXp6dJV5ou6fkxbW5tNmzaho6NTLhiIioriwIEDFBYW4uHhgbW1dbnRm7t373Lo0CHU1dVxdnYmNjaW/Px8mjRpgp6eHlZWVvIInVRxHMoXE6ytUbLS72VhYaFShXBdXV05WzE0NFSuy1NUVISHhwfvvfceW7ZseaG6xj+N6lRfLi0jIwNHR0fi4uIemxwjvPjEu1tHBAcH06dPH7mfmLm5Oe+++y5jxowBoF27dujq6nLhwgU5lTs5OZnY2Ngq1YioLANtx44dTJs2TWn7vLw87O3tCQ8PB578hCIoU1NTQ0tLC2dnZ5ydnZk6daoc5ERFRREcHExQUBDffvstSUlJWFlZyQFRp06d5Ho0lQVF0iiItM3LVnMIkKfqioqKyMrKkoOBpKQkNm7cSMuWLZk7d67K5qWnTp0iJCSE27dv88orr9C9e3eMjY2VarXAf1OSpf+mQqGQR+hUvf6l34eaCCylwE7qpF663YSenh7q6urcv39fHuW5ePEizs7OeHp6MnPmTLmXWH2zcuVKNm/ezIkTJ+Tqy4MHD66w87lk9uzZtGvXjri4uFrcW+F5EVNgtUjKPjt79iyDBw8mKysLDQ0NtLS02LdvH9OmTePo0aP07NmT5ORkpk6dSkpKipx+//777xMUFMShQ4fkLDBpzcnjTraV9T8rq7CwkFatWuHj44OPjw9QvXLuQs0oLi7m5s2bclXr0NBQ4uPjadWqlTx15uTkRMOGDTl79izx8fHlFgdL63meVVXr2lR69KP0SFZV2oXk5eXx5ZdfUlBQwPjx42ncuDEWFhY1EgiqalJatlZU2QrLFalKU1GFQsGFCxc4efIk/v7+qKmp4eHhgZeXFy4uLmLUArCysmL27NnMmjULeLS42NzcnNWrV1eYfXX48GG++uor/t//+38MGjRIjABVQEyBCU/k119/VfqBkgKH06dPM3r0aBITE5kyZQoJCQno6urSp08fduzYIW+/evVq5s6di7Ozs1wH6PDhw1X6URs8eDBQtQ/v77//TkZGBlOmTJFvq045d6FmaGho0K5dO9q1a8f48eOBRz+2UVFR/Pbbb3z//fdcvXqV9PR0dHV1ad++PU2aNKFz585yRd6yFX5roqp1bamsXo22tnaVp55iY2PZsGEDw4cPV7mI+mlJ/bQqq7AsBTNQPgMQlNPUpVGe0hW0k5KS8PX1xdfXl0uXLuHi4sKQIUOYO3euUn804cmqLz98+JCZM2dy9OhRkpOTa3N3hedIjADVM1Up/tinTx+sra3l/jNPU8xLqHnbt2/Hx8cHd3d33N3d5UaaISEhXLx4kYsXLyr1P+vUqROdO3embdu2cn+n0iMWdSUoKl07qezox4u2QFuVsuuxpIXuktzcXHbv3o2TkxP29vZcv35dHuXR0tKSFy936dLluZYjqOvi4+OxsLDg6tWr2NnZybePGTMGQ0NDfvrpp3KPGT16NI6OjixYsKDKBXLrKzECJLy0Ll++TEBAAKtWrZJve9py7kLNGjt2LOPHjy8XDLRu3ZrXXnsNQC7QKAVFS5YsISoqioYNGyo1ha2s/5mqzuE1HYBU1E5Dagr7svzQV9T8VnptS0pKuHLlCjt27GDx4sXk5eVhYGCAnZ0dgwcPplevXnh4eIhU9SoonTBSWmpqqsrMt927dxMdHc3OnTtrY/fKkTIxhdonAiBBycaNG+natauctQTVP6EIz1ZVrkrV1NRo0aIFLVq0UOp/dv/+fTklf+XKlVy9elWp/5k0+tCgQQM5KCqdAfW0BRylqSFplOdl7JEGqssNlD3OwsJC/v77b/z8/PD390dfX59x48bh5eVF8+bNiYiIkOsSHTp0CHd39+d9WC+E6lZfPn78ONeuXZMXjBcWFgLQrFkzVq1apbKB79OSLjKkCw3h+RABkCDLzMxk+/btrFu3Tun2JynnXtbj+qDl5+fz5ZdfsmPHDpKTkzE1NWXx4sVMnDgREFloNUFNTY2mTZvK1X7hv/5noaGhBAcHs379eq5cuYKWlhYODg5yBpqDgwPa2trVDope5jT8sipapF36OOPj4/H19eXkyZNERUXRq1cvvLy8WLBggdxsWdKsWTO5JYtQPTNmzGDlypUMGDBArr7coEEDRowYUW7bNWvWsGTJEvnff//9N6NHjyYkJOSZ9TiTPvPJycn8+eefNGzYkCFDhlTYckR4NkQAVE9U1v9M+jL++uuvNGjQgLFjx5Z7fHVOKKpU1gcNYNSoUeTm5nLq1Cmsra158OCBUluQJ01rFSon9T+T1hPBo6AlIyNDqf/Z5cuXAejYsaMcFDk6OqKnp1cuKJLSwqX1RoDchuFlScOHykezpOMsKCggMDAQPz8/Tp8+jbGxMUOGDGHx4sVKxRiFmuXj40NmZibu7u5y9eXjx49jYGBQrvqyiYmJUvBpZmYGQIsWLZ54DZBULqGiEc3o6Gg+/fRTzpw5g52dHRMmTCA1NbXeli14XsQi6Hqisv5n0uvm4OCAh4eH0vofSWXl3KtD1QLDU6dO4e3tTVxcXIUZLU+S1irUnJKSErKysggLC5On0C5dukRRURHt27fHxMSE9PR0IiMj8fb2ZtasWUqjQM+iqvXzUHqRdulRHqnlhJqaGrGxsXIhwps3b9K7d288PT0ZOHAgDRs2fN6HINSABw8e0LhxY6XRS2nRftnPdFpaGg0aNEBfX18OjObNm0dCQgI7duyQt39R1gK9TIugRQAk1CpVAdC8efM4dOgQnp6e7Ny5E01NTdzd3VmxYgWmpqYiC62O2rVrFzt27OD06dNoaGhgZmZGcXExDRo0wNHRUV5T1KlTJxo1alSu/9mLEBRVpaloXl4egYGB+Pr68tdff2FmZiZPM9rb29ep4xGejp+fH5988glhYWGEh4fj4OBASUlJuff45s2brFu3jqNHj6KhoUGvXr1466236NevH5GRkQwcOJCtW7cyaNAgiouLyy32l7ID6+Jn52UKgOp+uCm89JKTk4mMjCQ/P18u/Hfnzh15ZEdkodVNDx8+pE+fPgQFBZGWlkZ0dDS3bt0iIiKCzz77jKZNm3L06FFGjx6Ni4sLEydOZO3atQQEBJCTk4OBgYE8VVRUVEROTg4ZGRlkZmaSk5MjT9NK02i1QZrWys/PJzs7m4yMDHJzcwHQ0dHByMgIAwMD4uPj2bRpEyNHjsTNzY1jx47h4eHBuXPn8Pf35+OPP6Zjx4518gespkmjw82bN0dfX58+ffrIU6YV2bJlCw4ODujr69OkSZM638xZCki2bt1Kjx49UCgU8ui3mpoaOTk57N69m6FDh7J06VK2bt1Kbm4uv/zyC4cPHyY/P5/3338feLS2KykpiTZt2siPL/sZlxZIS5+90uUShJoj1gAJz52RkRFqamosX74cPT099PX1+eqrr3B1dSUnJ0dkodVRM2fOLHeb1P+sa9eudO3aFfiv/1lkZCTBwcGcOnWKlStXkpycjI2NjbymqLL+Z6pqFdXUdEFlTUWlAE1an+br68vZs2dp0aIFQ4YMYe3atbRr165eBDoVqe76vFWrVrF+/Xq2bdtGz549yc/PJyoq6jnsedWpqamRmZmJQqFAX18feFQypG3btkycOBEjIyOKiooYMWIEw4cP58qVK0ozEp6envz2228EBgbi5uaGpaUlu3btYsGCBfLnODU1lczMTCwsLLh9+zazZs3Czs6OpUuX1uvP17MkAiDhuevcubPK26WeVjWRhSY8P1L/M6koo7QIvqioiKioKEJCQggKCmL9+vUkJiZiZWVFp06dcHZ2xsnJSan/WU1Uta5KU1FALkTo5+dHQkIC/fv3x9vbm5UrV8o/gkL1qsRnZGSwcOFCdu3aRe/evYFHZR0qOgfUJWlpaSQkJHD8+HF++OEHPD092bNnD/n5+fz8888cOXIELy8v4NFyjKCgIL788kuCg4Np1aoVJiYmbNmyBTc3N+bOncvy5ctJS0vjrbfe4tChQ/zzzz+89957WFhY0Lx5c1atWiWPEgnPhgiAhFpRWRbaiBEjaNGiBfPnz2fZsmVkZ2ezaNEivLy85B+ap81Ce1wavjRyUXou/u+//5ZP6iINv+Zpampib2+Pvb29XO5A6n8mFXD86aef5P5npUeKrKysqhUUARU2FZUKLmZlZeHv78/JkycJDAzE0tIST09PNm7cSNu2bZ/nS1VnVbftxLlz58jOzub69eu0bduW9PR0nJ2dWb58OZ06daqVfU5NTcXExEQeWZQC4sdlJ/78889kZmZiYGDAtm3b6Nu3L/Cocn5MTAyNGjWSt42NjWX58uX07duXvXv30rBhQ15//XWCgoIAePvtt7GwsGDv3r2MHj0aS0tLJk6cKGdiampqiuCnFogASKgVlfVB69evH76+vnzwwQeYmppiZGSEl5cXy5cvl7evLK21Kh6Xhg+PmiFWVGxOpOHXjtL9z9544w3gUXZMbGys3BR2x44d3Lp1C3Nzc3lUydnZWan/WWFhITdv3qRVq1ZKz3/jxg309PSwtbVFQ0ODyMhITp48ia+vL8nJyQwYMIDXX3+db775Bl1d3Vo//hdNddfnSX22Dhw4wJkzZ2jUqBGLFi1iyJAhXLt27ZlmyaWkpDB8+HAGDhzIokWL5GBHCpoBEhIS0NfXV7kfixYtYuLEiUyfPp1Lly7JAVD37t3ZtWsXN2/epEePHsCjdhyHDx/mu+++o2HDhpw6dYqcnByioqK4ffs2FhYWDBs2jIEDB4rRxOdIZIEJ9UpFfX7U1NTw9fWtMAASafh1i0Kh4M6dO3JQFBoayrVr1+QRn8TERHR1dQkJCUFXV1e+0p83bx5btmwBoEGDBjRr1ozevXszbtw43N3dRe+naqpuhuahQ4cYPnw4f/75p1yMs7i4GENDQ37//Xf5tmdl5MiRNG7cmGXLlskjNpmZmXz77bd8//33wKOAxsvLS+mCTRotSkpKYt68eWRnZ7N3717g0Wi2h4cHvXv35ssvv0RDQ4OHDx8yZMgQdHR05CrT69evR6FQ0Lt373Kfs9JFReu6lykLTHzbBeH/N2HCBAoLC2ndujXTp0/nnXfeAZ6su7TwbKmrq2NhYYGFhQXW1tb4+fkRFxeHnZ0d7du3p2fPniQnJ+Pu7i5nbuXk5JCbm8v06dOxs7NDQ0ODiIgILl68yMiRI5k4cSLffffd8z60F0p11+c5OzsDzz69W5rWklpNSKnmPXr04Pjx40RHR8sB0LFjxzh16hQHDx7E0dGRrVu3snjxYvlzVHp/mzVrhr29PXv37pUr1mtra9OhQwciIiKIjY3F2tqaxo0b8/vvv3P+/HlsbW0fO733IgQ+LyMRAAkCj+p79OrVCw0NDfz8/Bg/fjxFRUVMnz5dpOHXcc2bN2f69OkMHjy4XCVdqf/Znj17GDhwIPb29iqfo7i4mOzs7NrY3ZdOddbntWrVildffZWlS5fi7OyMsbExX375JSYmJri6utbYPpWe1oL/AozevXvz22+/cfXqVVxcXEhNTWXVqlV8/vnnODs7U1BQQKtWrYiNjWXPnj107txZbk8hjQJ16NABTU1NgoKCGD58OABdu3aV090lUoAuKd3/S6gbRB0gQQAGDhyIrq4uWlpaeHl5MWvWLH799Veg8maw0n3C82NmZsakSZNUthGQ+p99+OGHFQY/8OgHUryXT8bHx4fJkyfj7u5O48aNCQgIUGo7YWBgQEBAgLz91q1bsbGxoX379jRv3pyLFy9y4sSJar/+0iJ4VTVyEhMTWbJkCX369GHSpEmcOHECgC5dumBgYEBkZCQFBQWYmJgQERHBH3/8Qffu3WnatCk+Pj4sW7aM+fPnq+zN1aZNGzQ0NDh79qx826RJkzhw4AAdOnQot4/S/r0sLWBeJmIESHjmpCunmzdvoqmpiaWl5fPepcdSV1eXT1wiDV8QKqampsZXX33FV199Ve4+CwsLsrKylG4zMjJi8+bNbN68udp/q3S7iLKjPJLCwkJmzZpFUVERH3zwAREREQwfPpwff/yRN998E0dHR6Kiorhz5w5t2rShX79+nDlzhi1bttCtWzf09PQAiImJQV9fX16kLAUvbdu25eeff1bK0pLW9JRtZyECnrpNjAAJz5x0Evj222+ZPn06X375JUuXLuWjjz7i2LFjPHjw4JnvQ3FxMXl5eUpp+Hl5eSgUCrm3VUFBAUVFRZw8eZK1a9cybtw4+fHSMP/ly5fJzc1l4cKF1UrDh0ep+L1795YLPxYVFancLiQkhAYNGuDm5qZ0u1RN1tTUFENDQ7y9vYmPj3+CV0MQXgzSCErpURRJdHQ0CxYsYPz48Zw/f17+Pm3YsIHIyEi++eYbRo0axVdffcUHH3zApk2bSExMZODAgSQkJHD9+nUAhg4dKldz1tPTIyQkhDlz5vDFF1/IlZhL09TUxNbWVuWC+Rehl5fwH/FuCbXiwIEDjBs3jmPHjrFw4UIAtm/fTnBwMPv27aN3794sWbLkma3D+PXXX9HV1WXw4MHAozR8XV1dzp49y927d5kwYQKNGjXC1NSUjz/+mKVLlyqV569smL+qpFT8tWvXVrhNXl4ekydPllNsS5s7dy4BAQGEhIRw9+5dGjVqxLBhw2q1VYTw/FS35cSFCxfo378/JiYmmJqaMmLECOLi4mpxj5+etGZGTU2N7Oxs/vjjDwIDA0lNTWXZsmXyBcDbb7/Nzp07gUelDszNzWnZsqUcwLz++uvcv3+f6OhounfvjpqaGpGRkcCji5sPP/yQX375BQcHB4YPH056ejozZ87E1NT0+Ry4UCtEGrzwzCkUCsLCwuRqr8XFxYwaNQonJyf+97//AXD27Flu377N2LFj5Ssraeps06ZNdOnShc6dOyt1GH9Rh5crSsUH+OijjyguLsbY2Bg/Pz8CAwOBR4FRo0aN2LVrl7zwMjk5GXNzc/z9/eWqusLLa8WKFXzzzTf8+eefci2qbdu2qaxFpVAoaNasGePGjWP58uUUFBQwdepU7ty5w7lz557TEagWERFBWloarq6u5UZQ7t27R1hYGFevXuWnn34iPT0dCwsLUlJSmD17Nu+99x7Z2dl8+OGHREVFERgYyHfffcfChQu5f/8+RUVFaGpqkpqaStOmTQkODsbR0REvLy8MDAzYuHGjHOTcv3+f4uJizM3Nn8fL8MJ4mdLgxQiQ8Mypq6vTuXNneaTizJkz/P3334wZMwaA7Oxs8vPzcXV1LVebJzk5mVmzZpGamqoU8KipqXH06FFu374t3/aij4ScPXuWI0eOsHTp0nL3RUVFkZubq5SKb2pqipWVFaGhobW5m8JzUrrlhK6uLosXL6agoID9+/eX2zY9PZ0HDx4wZcoUtLW1MTQ0ZOLEiXXqsyJNa82bN4+jR4+irq4uf4el+/z9/XnjjTc4dOgQZ86c4c6dO0yePJnr16/LF1Q6Ojp4e3vz77//olAoeP3110lPT2fdunVyQPXLL7/Qs2dPTExMABg2bBj9+vVDR0dH3p8mTZpgbm4u94Z70c8nwuOJAEioFdLiwPT0dLZu3Uq/fv1o166d3Fxw4MCB8uJo6eSXnp7ODz/8QJ8+fXB3d1c6IaWmpjJ79mx+/PFH+TZ1dXX8/f0JCgp64bonZ2VlMWXKFH788Ud5EWZpIhW/fntcLaqyTExMeP/99/nxxx/JyckhLS2NLVu28Nprr9XmbldK+o7a2NiQnp6ucptBgwZhaWmJsbExZmZmKBQK3n33XbS1tYmNjQUeZfB17NgRAwMDjh49ipmZGQsXLmT79u0MHz4cR0dHNm7cyKeffipXBn/vvfeYMWOGyilsNTU1NDU1xXqeekC8w0KtkIKXY8eOcf/+faUqq6CcIiqdGP38/Lh48SKzZ8+Wt5Puu3HjBqampjg6OgKPSs9PnjyZadOmsWLFClJSUp71IdUoHx8fvLy86NOnj8r7RSp+/fYkAfCoUaM4deoUhoaGNGrUiJiYmHKVmZ8ndXV1cnNz0dLSokWLFvJt8F/ihKmpKdbW1hgbG5OSkiLf7+LiwvHjxyksLAQeFSjs3LmzfEH0ySefsHfvXry9vVm1ahU3b96UG5VKKkqhF+oPEQAJtUKa2tq2bRudOnXCxcUFUJ01Id0mNRuVyuOXTk2/fPkyWlpa6Ojo8MMPP+Dq6kpmZiZbtmzhwIEDNG7cuDYOq8YcP36cbdu2YWpqiqmpKcuXL+f8+fOYmppy8+ZN2rVrh66uLhcuXJAfk5ycTGxsrFxdV3h5VTcAvnHjBoMGDeKDDz4gJyeHzMxMvL296dWrV50q+Kirq0toaKjKZrNSe4hu3bpx+/Ztbty4Id83ZswY/vrrL1JTUwHQ09PD29tbnuKSym1MmzaNQYMGAeWnyEs3yhXqJxEACc/cnTt3CAwMJCAggJMnTzJ79mz5RFWRffv2kZ+fz4QJEwDKXandvHmThw8f8sYbb7Br1y7WrFnDvn37cHV1lU+cdU1lqfj//PMPly9fJiwsjLCwMN577z2cnZ0JCwvD0tISHR0d3nrrLf73v/9x+/ZtMjMz+eijj+jQoUO1K+hWlo4fExODq6ur3JTW2tqaxYsXK/14VDcbSXh6pWtRSaRaVKoC4EuXLqGrq8uMGTPQ1tZGX18fHx8fYmJinul7VZ11M6W/p3fu3Cn3eCk46du3r9xIVDJ06FBu3bpFUlIS8CiYmT17Nlu3blX6G1JLDBAp6kJ54hMhPHPq6upcvXqVNWvWYGxszL59+/j3338r3D4vL4/vvvuOsWPHyleG0slQOolJKaxqamp8/vnnjBw5EjU1NRQKRZ3tq1NZKn6zZs1o2bKl/J+RkRFaWlq0bNlSHj1bvXo1rq6uODs7Y25uTnJyMocPH672ib2ydHwzMzM2b97MvXv3yMjIwNfXl507d7JhwwZ5m5UrV7J582ZOnDhBcnIyrq6uDB48uFzBO6FmVacWVdeuXSkoKGDTpk0UFRWRl5fHmjVrMDAwwNbWtkb3q3TQUvqz+LhgSENDg4yMDKX9KT0iIz1X586dycnJ4fz58/KUl6WlJQ8ePJCnwCVlp7WkXmCCoIpIgxdq3b179wBo2rSpyvv37NnDZ599RnR0tMoh6szMTDw9PRk5ciQpKSls2bKF4ODgCp9PUK2ydHzJrVu38Pb2pn///qxfvx4AKysrZs+ezaxZs4BHIxHm5uasXr1aVMZ+hqSRt02bNpGRkUHXrl3ZsGEDDg4O3L59mw4dOnDs2DG5JMLJkydZuHAh165dA8DBwYHFixerrDFVE7Kysjh16hRGRkb079+/So/Jzs7mtdde46OPPsLDw6Pc/VLyxJEjR2jfvj02NjbAf2UwXuRyGC+qlykNXrTCEGpF6WFoVYGKdKI7f/48Bw4cYNq0aaipqcldnEG5pUZhYSHNmzdnzpw5BAcHM2nSJI4fP16rx/Qy6927N8HBweTl5dGyZUvef/994PHZSCIAenaq23LCw8NDZVBRk5KSkjh9+jTx8fFYW1sTFRVFfHw8/fv3JzExkcDAQEaNGqXysSUlJejr63P9+nV51KZsQCON3nh7eys9VtpGBD/C0xBjg0KtUFdXr3QoWjqR+fv706JFC7kNRenHSCfJ8+fPk5WVJWfELF++nPj4eL7++utntPf1T0BAAFlZWQQFBfHmm2/SpEkTQKTjC//Jzc3l77//xtbWlszMTAICApg1axZz5swhIyODu3fvsmbNGmJiYoDy6/ik6s4uLi7yWp7KiIwtoaaJAEioE6QAyM3NjdmzZ2NhYaF0O/wXDPXu3ZuPP/6Yjh07Ao+G9ufPn89PP/3EgQMHAHGyrAkaGhr06tULY2Nj3n33XUCk4wv/kUZwunTpQklJCR06dEBfXx9bW1t0dHTo2rUrgwYNws/PT96+rMTERHJyclR+38sSoz1CTRMBkFCn9O7dm5YtW1a6jb29PZMnT5ZrhwCMGzeOSZMmERYWRkZGhjhZ1qDCwkI5A6e62UiVqSwb7fz587zyyis0a9YMIyMjHBwc+OWXX8o9x4YNG7C0tERPT4/OnTtz9uzZJzzKx++TKqmpqYwfP56GDRtibGzM+PHjywWHLytNTU15ii03N5crV64AcOXKFYKCgoBHFzSVvSc2NjZ06dJFvpgRhNokAiChTqnKyI1CoSi3nbq6OosWLWLRokViJOIxKkvH9/X15dy5c+Tn51NUVMTp06dZt26dUhG56mQjVaaybLSHDx8ycuRILl26RHp6Ot988w2zZs2SR/gA9u7dy/z589m6dStpaWlMnToVLy8vuUHmk6hKw9rSJkyYwL1794iOjubmzZvcu3ePSZMmPfHff5FoaWmRnp7Ow4cP6dSpE5cvXyY9PZ2YmBh69OgBPKrk/PDhQ6DiNPR58+ZhZmZWa/stCBKRBSa8NKTGh0LltmzZUq4SN8Dp06dJSUlh0aJFxMTEoKGhQYsWLXjjjTeYN2+eUpPairKRnkRVstEAXn31VVq3bs26desA6N+/P05OTqxZs0bextnZmddee40vvvjiifalOvsUFxeHpaUlYWFhdOrUCYDw8HCcnJyIi4uTp3VeVsXFxezYsYNLly5ha2vL9evX6dKlCxYWFri6uqJQKMjPz6dr164MHz6c+fPnq2w9IbxYRBaYINRBIvipmsmTJzN58uQK739cv6jKspGelYyMDM6fP8+rr74q3xYWFiavTZK4uLjUWsPPsLAwtLW15eAHoFOnTmhpaREWFvbSB0AaGhqYm5ujqalJ9+7dmTJlitJ3UF1dnaSkJJYvX07Xrl1F8CPUOeIXQxCEOq2goIAxY8bQvn17uTI4PAqKVGWjSVlHz1pGRgYNGzYsd7uxsXG9yYiT2kyUVjqV3crKCisrq9reLUGoErEGSBCEOisnJ4dhw4aRn5/P4cOHlUYYjIyMnms2mpGRkcou5mlpafVqHVpJSUm56suqthGEukYEQIIg1Empqam4u7ujqanJn3/+WW4KxcnJSSkbDSA4OLjWmsM6OTmRn5/PpUuX5NsuXbpEQUEBTk5OtbIPdYGamtpjsy5FVqZQF4kASBCE56KybLSkpCT69u1Lq1at2L9/Pzo6OuUeP2PGDDZv3kxAQAAFBQV89913XL9+vdL1TU+zT2W1bt0aLy8vfHx8SE5OJjk5GR8fH1555ZWXfv2PILwMRAAkCMJzUVlz2B9++IGIiAiOHDmCiYkJBgYGGBgY4OnpKT9+1KhRLFmyhAkTJtCwYUN+/PFHjh49SqtWrZ7JPt2+fRsDAwMCAgKUtjc1NcXa2hpra2vMzMzYtm3bE/99QRBqj0iDFwRBEAShSl6mNHgxAiQIgiAIQr0jAiBBEARBEOodEQAJgiAIglDviABIEARBEIR6RwRAgiAIgiDUOyIAEgRBEASh3hEBkCAIgiAI9Y4IgARBEARBqHdEACQIgiAIQr0jAiBBEARBEOodEQAJgiAIglDviABIEARBEIR6RwRAgiAIgiDUOyIAEgRBEASh3hEBkCAIgiAI9Y4IgARBEARBqHdEACQIgiAIQr0jAiBBEARBEOodEQAJgiAIglDviABIEARBEIR6RwRAgiAIgiDUOyIAEgRBEASh3hEBkCAIgiAI9Y4IgARBEARBqHdEACQIgiAIQr0jAiBBEARBEOodEQAJgiAIglDviABIEARBEIR6RwRAgiAIgiDUOyIAEgRBEASh3hEBkCAIgiAI9Y4IgARBEARBqHdEACQIgiAIQr0jAiBBEARBEOodEQAJgiAIglDviABIEARBEIR6RwRAgiAIgiDUOyIAEgRBEASh3hEBkCAIgiAI9Y4IgARBEARBqHdEACQIgiAIQr0jAiBBEARBEOodEQAJgiAIglDviABIEARBEIR6RwRAgiAIgiDUOyIAEgRBEASh3hEBkCAIgiAI9Y4IgARBEARBqHdEACQIgiAIQr3z2AAoKSmJ8PBwAFJSUti9e3eN/fGsrCzmzZvHzJkz+ffff5XuKykp4euvv2bWrFl8/vnnFBYW1tjfFQRBEAShcrGxsZw9e/aZPHdlv/8AH374IZ6enjx48EC+bc2aNcyZM4cNGzaU2/63335j1KhR/Prrr1XehyoFQJcuXQKgUaNGjB07tspP/jhHjx7F29ubVatWsXfvXqX7oqOj0dbWZt26ddjZ2REcHFxjf1cQBEEQhMo9ywCost9/gEWLFtG3b1/531evXqVBgwasWbMGdXV1bty4obT9oEGD+Oyzz6q1D5qP2+DPP/8kIiKCa9eu8cEHH/Drr7/y8ccfM2vWLJo3b87169cZPXo0p06dIicnh5UrV1JSUsL//d//kZ6ejoWFBXPmzOHff/9FXV2drl27ys8dGRnJK6+8gra2Nrq6uuTl5aGjowOAqakpCoUCgOzsbAwNDZX2a82aNcTGxqKurs6aNdnAUAEAAAQASURBVGuqddCCIAiCIFTu559/JjAwkAsXLrB//37effddLl68iJGREQsWLODBgwcsXrwYY2NjsrKy+OKLLwgJCeHcuXPk5uZiYmLC/Pnzq/37D48GXEpLSkrCysoKACsrK65cuULbtm3l+01MTIiLi6vW8T02APLy8qJVq1a8+eabJCUlybenpaWxePFi4uPj2bhxI+vXr2fnzp2EhoZy9+5d3N3dcXNz44cffiAqKopu3bqVe+7s7Gz09PQA0NPTIysrS34BDA0Nyc7OZtKkSRgbG/POO+8oPfb27dusXbu2WgcrCIIgCELVTJ06lXbt2rFgwQIOHDiAg4MDEyZM4ODBgwQFBXHx4kVmzZqFjY0NU6dOlR/XpEkTZs6cyTfffMPVq1er/fuvSqtWrdi7dy9Dhw7l0qVLtGjR4qmP74kXQTdu3BgjIyMaN25M69atUVNTo3HjxmRlZREfH8+uXbuYPXs2Fy9eJCUlReVz6Ovrk5OTA0BOTg4GBgbyfcHBwZibm7N161bc3Nzw9/dXeuwrr7zC0qVL+eWXXygpKXnSwxAEQRAE4TGioqLYsmULs2fP5sSJE6Snp5OUlISNjQ0aGhpYW1vL27Zp0wYAa2trpYGT0ir7/Velbdu2NGvWjLlz5wJgbGz81Mf02BEgDQ0NeSqqNDU1NZX/D9CyZUt69epF9+7dKSkpUfl4gPbt2xMaGoqLiwu5ublK0Z9CoZCnvQwNDcnKypLvKykpwc3NjQEDBrB69Wqio6OxsbF53KEIgiAIglBFDRo0oLi4GABbW1veffdd7OzsACgqKiI6Opro6Gisra2JiYmRH3fr1i0AYmJiGDhwoMrnruz3vyJTpkwB4Ntvv8XFxeWpjg2qEABZWVnx888/k5SUxKRJk6r0pN7e3qxYsYI9e/agpqbGJ598QlxcXLk5QG9vbxYvXsyuXbuYOHEiAMePH8fW1hYXFxeOHTvG7Nmz0dDQYNGiRfLjiouL+eSTTyguLsbAwAALCwsAzpw5U41DFwRBEAShIllZWezfv59//vmHjz/+mM2bN/Pjjz8CMG3aNEaPHs3XX3+NsbExJiYm8uOSk5Px8fHBxMSEDh06qFwDVNnvf5s2bfj6668JDQ0lISGBSZMm0alTJ3x8fFBXV6dfv340adKElJQUTp48ydixYzlx4gS///472dnZZGdn89577z32+NROnz4t5o8EQRAEQXhiy5YtY+rUqYSEhKChocGgQYOe9y49liiEKAiCIAhCvSNGgARBEARBqHfECJAgCIIgCPWOCIAEQRAEQah3RAAkCIIgCEK9IwIgQRAEQRDqHREACYIgCIJQ74gASBAEQRCEekcEQIIgCIIg1Dv/H39MOe7CgqPjAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import json, timeit\n", "import pandas, numpy as np, matplotlib.pyplot as plt\n", "plt.style.use('classic')\n", "import teqp\n", "\n", "Tc_K = [190.564, 154.581]\n", "pc_Pa = [4599200, 5042800]\n", "acentric = [0.011, 0.022]\n", "model = teqp.canonical_PR(Tc_K, pc_Pa, acentric)\n", "fig, ax = plt.subplots(1,1,figsize=(7, 6), subplot_kw=dict(projection='3d'))\n", "tic = timeit.default_timer()\n", "for ifluid in [0,1]:\n", " model0 = teqp.canonical_PR([Tc_K[ifluid]], [pc_Pa[ifluid]], [acentric[ifluid]])\n", " for T in np.linspace(190, 120, 50):\n", " if T > Tc_K[ifluid]: continue\n", " [rhoL, rhoV] = model0.superanc_rhoLV(T)\n", " rhovecL = np.array([0.0, 0.0]); rhovecL[ifluid] = rhoL\n", " rhovecV = np.array([0.0, 0.0]); rhovecV[ifluid] = rhoV\n", " opt = teqp.TVLEOptions(); opt.calc_criticality = True\n", " df = pandas.DataFrame(model.trace_VLE_isotherm_binary(T, rhovecL, rhovecV, opt))\n", " df['too_critical'] = df.apply(\n", " lambda row: (abs(row['crit. conditions L'][0]) < 5e-8), axis=1)\n", " first_too_critical = np.argmax(df['too_critical'])\n", " df = df.iloc[0:(first_too_critical if first_too_critical else len(df))]\n", " line, = ax.plot(xs=df['T / K'], ys=df['xL_0 / mole frac.'], zs=df['pL / Pa']/1e6, \n", " lw=0.2, color='k')\n", " ax.plot(xs=df['T / K'], ys=df['xV_0 / mole frac.'], zs=df['pL / Pa']/1e6, \n", " dashes=[2,2], color=line.get_color(), lw=0.2)\n", "elap = timeit.default_timer()-tic\n", "ax.view_init(elev=10., azim=130)\n", "ax.set(xlabel='$T$ / K', ylabel='$x_1$ / mole frac.', zlabel='$p$ / MPa')\n", "fig.text(0,0,f'time: {elap:0.1f} s', ha='left', va='bottom', fontsize=7)\n", "fig.text(1,0,f'teqp: {teqp.__version__}', ha='right', va='bottom', fontsize=7)\n", "plt.tight_layout(pad=0.2)\n", "plt.savefig('PR_VLE_trace.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "id": "cbe191dd", "metadata": { "execution": { "iopub.execute_input": "2024-03-15T22:41:53.818654Z", "iopub.status.busy": "2024-03-15T22:41:53.817686Z", "iopub.status.idle": "2024-03-15T22:41:55.648759Z", "shell.execute_reply": "2024-03-15T22:41:55.648238Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import timeit\n", "import numpy as np\n", "import matplotlib.pyplot as plt \n", "plt.style.use('classic')\n", "import pandas\n", "import teqp\n", "\n", "def get_critical_curve(ipure):\n", " \"\"\" Return curve as pandas DataFrame \"\"\"\n", " names = ['Nitrogen', 'Ethane']\n", " model = teqp.build_multifluid_model(names, teqp.get_datapath())\n", " T0 = model.get_Tcvec()[ipure]\n", " rho0 = np.array([1.0/model.get_vcvec()[ipure]]*2)\n", " rho0[1-ipure] = 0\n", " o = teqp.TCABOptions() \n", " o.init_dt = 1.0 # step in the parameter\n", " o.rel_err = 1e-8\n", " o.abs_err = 1e-5\n", " o.integration_order = 5\n", " o.calc_stability = True\n", " o.polish = True\n", " curveJSON = model.trace_critical_arclength_binary(T0, rho0, '', o)\n", " df = pandas.DataFrame(curveJSON)\n", " rhotot = df['rho0 / mol/m^3']+df['rho1 / mol/m^3']\n", " df['z0 / mole frac.'] = df['rho0 / mol/m^3']/rhotot\n", " return df\n", "\n", "if __name__ == '__main__':\n", " fig, ax = plt.subplots(1,1,figsize=(7, 6))\n", " tic = timeit.default_timer()\n", " for ipure in [1,0]:\n", " df = get_critical_curve(ipure)\n", " first_unstable = np.argmax(~df['locally stable'])\n", " df = df.iloc[0:(first_unstable if first_unstable else len(df))]\n", " line, = plt.plot(df['T / K'], df['p / Pa']/1e6, '-')\n", " plt.plot(df['T / K'].iloc[0], df['p / Pa'].iloc[0]/1e6, 'd', \n", " color=line.get_color())\n", "\n", " elap = timeit.default_timer()-tic\n", " plt.gca().set(xlabel='$T$ / K', ylabel='$p$ / MPa',\n", " xlim=(100, 350), ylim=(1, 1e3))\n", " plt.yscale('log')\n", " plt.tight_layout(pad=0.2)\n", " plt.gcf().text(0,0,f'time: {elap:0.1f} s', ha='left', va='bottom', fontsize=7)\n", " plt.gcf().text(1,0,f'teqp: {teqp.__version__}', ha='right', va='bottom', fontsize=7)\n", " plt.savefig('N2_ethane_critical.pdf')\n", " plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 5 }